id sid tid token lemma pos fuelectenerg-3306 1 1 facta facta PROPN fuelectenerg-3306 1 2 universitatis universitatis PROPN fuelectenerg-3306 1 3 series series NOUN fuelectenerg-3306 1 4 : : PUNCT fuelectenerg-3306 1 5 electronics electronic NOUN fuelectenerg-3306 1 6 and and CCONJ fuelectenerg-3306 1 7 energetics energetics NOUN fuelectenerg-3306 1 8 vol vol NOUN fuelectenerg-3306 1 9 . . PUNCT fuelectenerg-3306 2 1 x x X fuelectenerg-3306 2 2 , , PUNCT fuelectenerg-3306 2 3 no no DET fuelectenerg-3306 2 4 x x NOUN fuelectenerg-3306 2 5 , , PUNCT fuelectenerg-3306 2 6 x x PROPN fuelectenerg-3306 2 7 2018 2018 NUM fuelectenerg-3306 2 8 , , PUNCT fuelectenerg-3306 2 9 pp pp ADV fuelectenerg-3306 2 10 . . PUNCT fuelectenerg-3306 3 1 x x PUNCT fuelectenerg-3306 3 2 energy energy NOUN fuelectenerg-3306 3 3 - - PUNCT fuelectenerg-3306 3 4 efficient efficient ADJ fuelectenerg-3306 3 5 cryptographic cryptographic ADJ fuelectenerg-3306 3 6 primitives primitive NOUN fuelectenerg-3306 3 7 elena elena NOUN fuelectenerg-3306 3 8 dubrova∗ dubrova∗ PROPN fuelectenerg-3306 3 9 royal royal PROPN fuelectenerg-3306 3 10 institute institute PROPN fuelectenerg-3306 3 11 of of ADP fuelectenerg-3306 3 12 technology technology PROPN fuelectenerg-3306 3 13 ( ( PUNCT fuelectenerg-3306 3 14 kth kth PROPN fuelectenerg-3306 3 15 ) ) PUNCT fuelectenerg-3306 3 16 , , PUNCT fuelectenerg-3306 3 17 stockholm stockholm PROPN fuelectenerg-3306 3 18 , , PUNCT fuelectenerg-3306 3 19 sweden sweden PROPN fuelectenerg-3306 3 20 abstract abstract NOUN fuelectenerg-3306 3 21 : : PUNCT fuelectenerg-3306 3 22 our our PRON fuelectenerg-3306 3 23 society society NOUN fuelectenerg-3306 3 24 greatly greatly ADV fuelectenerg-3306 3 25 depends depend VERB fuelectenerg-3306 3 26 on on ADP fuelectenerg-3306 3 27 services service NOUN fuelectenerg-3306 3 28 and and CCONJ fuelectenerg-3306 3 29 applications application NOUN fuelectenerg-3306 3 30 provided provide VERB fuelectenerg-3306 3 31 by by ADP fuelectenerg-3306 3 32 mobile mobile ADJ fuelectenerg-3306 3 33 communication communication NOUN fuelectenerg-3306 3 34 networks network NOUN fuelectenerg-3306 3 35 . . PUNCT fuelectenerg-3306 4 1 as as SCONJ fuelectenerg-3306 4 2 billions billion NOUN fuelectenerg-3306 4 3 of of ADP fuelectenerg-3306 4 4 people people NOUN fuelectenerg-3306 4 5 and and CCONJ fuelectenerg-3306 4 6 devices device NOUN fuelectenerg-3306 4 7 become become VERB fuelectenerg-3306 4 8 connected connect VERB fuelectenerg-3306 4 9 , , PUNCT fuelectenerg-3306 4 10 it it PRON fuelectenerg-3306 4 11 becomes become VERB fuelectenerg-3306 4 12 increasingly increasingly ADV fuelectenerg-3306 4 13 important important ADJ fuelectenerg-3306 4 14 to to PART fuelectenerg-3306 4 15 guarantee guarantee VERB fuelectenerg-3306 4 16 security security NOUN fuelectenerg-3306 4 17 of of ADP fuelectenerg-3306 4 18 interactions interaction NOUN fuelectenerg-3306 4 19 of of ADP fuelectenerg-3306 4 20 all all DET fuelectenerg-3306 4 21 players player NOUN fuelectenerg-3306 4 22 . . PUNCT fuelectenerg-3306 5 1 in in ADP fuelectenerg-3306 5 2 this this DET fuelectenerg-3306 5 3 talk talk NOUN fuelectenerg-3306 5 4 we we PRON fuelectenerg-3306 5 5 address address VERB fuelectenerg-3306 5 6 several several ADJ fuelectenerg-3306 5 7 aspects aspect NOUN fuelectenerg-3306 5 8 of of ADP fuelectenerg-3306 5 9 this this DET fuelectenerg-3306 5 10 important important ADJ fuelectenerg-3306 5 11 , , PUNCT fuelectenerg-3306 5 12 many many ADJ fuelectenerg-3306 5 13 - - PUNCT fuelectenerg-3306 5 14 folded fold VERB fuelectenerg-3306 5 15 problem problem NOUN fuelectenerg-3306 5 16 . . PUNCT fuelectenerg-3306 6 1 first first ADV fuelectenerg-3306 6 2 , , PUNCT fuelectenerg-3306 6 3 we we PRON fuelectenerg-3306 6 4 show show VERB fuelectenerg-3306 6 5 how how SCONJ fuelectenerg-3306 6 6 to to PART fuelectenerg-3306 6 7 design design VERB fuelectenerg-3306 6 8 cryptographic cryptographic ADJ fuelectenerg-3306 6 9 primitives primitive NOUN fuelectenerg-3306 6 10 which which PRON fuelectenerg-3306 6 11 can can AUX fuelectenerg-3306 6 12 assure assure VERB fuelectenerg-3306 6 13 integrity integrity NOUN fuelectenerg-3306 6 14 and and CCONJ fuelectenerg-3306 6 15 confidentiality confidentiality NOUN fuelectenerg-3306 6 16 of of ADP fuelectenerg-3306 6 17 transmitted transmit VERB fuelectenerg-3306 6 18 messages message NOUN fuelectenerg-3306 6 19 while while SCONJ fuelectenerg-3306 6 20 satisfying satisfy VERB fuelectenerg-3306 6 21 resource resource NOUN fuelectenerg-3306 6 22 constrains constrain NOUN fuelectenerg-3306 6 23 of of ADP fuelectenerg-3306 6 24 low low ADJ fuelectenerg-3306 6 25 - - PUNCT fuelectenerg-3306 6 26 end end NOUN fuelectenerg-3306 6 27 low low ADJ fuelectenerg-3306 6 28 - - PUNCT fuelectenerg-3306 6 29 cost cost NOUN fuelectenerg-3306 6 30 wireless wireless NOUN fuelectenerg-3306 6 31 devices device NOUN fuelectenerg-3306 6 32 such such ADJ fuelectenerg-3306 6 33 as as ADP fuelectenerg-3306 6 34 sensors sensor NOUN fuelectenerg-3306 6 35 or or CCONJ fuelectenerg-3306 6 36 rfid rfid NOUN fuelectenerg-3306 6 37 tags tag NOUN fuelectenerg-3306 6 38 . . PUNCT fuelectenerg-3306 7 1 second second ADJ fuelectenerg-3306 7 2 , , PUNCT fuelectenerg-3306 7 3 we we PRON fuelectenerg-3306 7 4 describe describe VERB fuelectenerg-3306 7 5 countermeasures countermeasure NOUN fuelectenerg-3306 7 6 which which PRON fuelectenerg-3306 7 7 can can AUX fuelectenerg-3306 7 8 enhance enhance VERB fuelectenerg-3306 7 9 the the DET fuelectenerg-3306 7 10 resistance resistance NOUN fuelectenerg-3306 7 11 of of ADP fuelectenerg-3306 7 12 hardware hardware NOUN fuelectenerg-3306 7 13 implementing implement VERB fuelectenerg-3306 7 14 cryptographic cryptographic ADJ fuelectenerg-3306 7 15 algorithms algorithm NOUN fuelectenerg-3306 7 16 to to ADP fuelectenerg-3306 7 17 hardware hardware NOUN fuelectenerg-3306 7 18 trojans trojan NOUN fuelectenerg-3306 7 19 . . PUNCT fuelectenerg-3306 8 1 keywords keyword NOUN fuelectenerg-3306 8 2 : : PUNCT fuelectenerg-3306 8 3 security security NOUN fuelectenerg-3306 8 4 , , PUNCT fuelectenerg-3306 8 5 lightweight lightweight ADJ fuelectenerg-3306 8 6 cryptography cryptography NOUN fuelectenerg-3306 8 7 , , PUNCT fuelectenerg-3306 8 8 cryptographic cryptographic ADJ fuelectenerg-3306 8 9 primitive primitive ADJ fuelectenerg-3306 8 10 , , PUNCT fuelectenerg-3306 8 11 encryption encryption NOUN fuelectenerg-3306 8 12 , , PUNCT fuelectenerg-3306 8 13 message message NOUN fuelectenerg-3306 8 14 authentication authentication NOUN fuelectenerg-3306 8 15 , , PUNCT fuelectenerg-3306 8 16 hardware hardware NOUN fuelectenerg-3306 8 17 trojan trojan NOUN fuelectenerg-3306 8 18 . . PROPN fuelectenerg-3306 8 19 1 1 NUM fuelectenerg-3306 8 20 introduction introduction NOUN fuelectenerg-3306 8 21 today today NOUN fuelectenerg-3306 8 22 minimal minimal ADJ fuelectenerg-3306 8 23 or or CCONJ fuelectenerg-3306 8 24 no no DET fuelectenerg-3306 8 25 security security NOUN fuelectenerg-3306 8 26 is be AUX fuelectenerg-3306 8 27 typically typically ADV fuelectenerg-3306 8 28 provided provide VERB fuelectenerg-3306 8 29 to to ADP fuelectenerg-3306 8 30 low low ADJ fuelectenerg-3306 8 31 - - PUNCT fuelectenerg-3306 8 32 end end NOUN fuelectenerg-3306 8 33 low low ADJ fuelectenerg-3306 8 34 - - PUNCT fuelectenerg-3306 8 35 cost cost NOUN fuelectenerg-3306 8 36 wireless wireless NOUN fuelectenerg-3306 8 37 devices device NOUN fuelectenerg-3306 8 38 such such ADJ fuelectenerg-3306 8 39 as as ADP fuelectenerg-3306 8 40 sensors sensor NOUN fuelectenerg-3306 8 41 or or CCONJ fuelectenerg-3306 8 42 rfid rfid VERB fuelectenerg-3306 8 43 tags tag NOUN fuelectenerg-3306 8 44 in in ADP fuelectenerg-3306 8 45 the the DET fuelectenerg-3306 8 46 conventional conventional ADJ fuelectenerg-3306 8 47 belief belief NOUN fuelectenerg-3306 8 48 that that SCONJ fuelectenerg-3306 8 49 the the DET fuelectenerg-3306 8 50 information information NOUN fuelectenerg-3306 8 51 they they PRON fuelectenerg-3306 8 52 gather gather VERB fuelectenerg-3306 8 53 is be AUX fuelectenerg-3306 8 54 of of ADP fuelectenerg-3306 8 55 little little ADJ fuelectenerg-3306 8 56 concern concern NOUN fuelectenerg-3306 8 57 to to ADP fuelectenerg-3306 8 58 attackers attacker NOUN fuelectenerg-3306 8 59 . . PUNCT fuelectenerg-3306 9 1 however however ADV fuelectenerg-3306 9 2 , , PUNCT fuelectenerg-3306 9 3 case case NOUN fuelectenerg-3306 9 4 studies study NOUN fuelectenerg-3306 9 5 have have AUX fuelectenerg-3306 9 6 shown show VERB fuelectenerg-3306 9 7 that that SCONJ fuelectenerg-3306 9 8 a a DET fuelectenerg-3306 9 9 compromised compromise VERB fuelectenerg-3306 9 10 sensor sensor NOUN fuelectenerg-3306 9 11 can can AUX fuelectenerg-3306 9 12 be be AUX fuelectenerg-3306 9 13 used use VERB fuelectenerg-3306 9 14 as as ADP fuelectenerg-3306 9 15 a a DET fuelectenerg-3306 9 16 stepping stepping ADJ fuelectenerg-3306 9 17 stone stone NOUN fuelectenerg-3306 9 18 to to PART fuelectenerg-3306 9 19 mount mount VERB fuelectenerg-3306 9 20 an an DET fuelectenerg-3306 9 21 attack attack NOUN fuelectenerg-3306 9 22 on on ADP fuelectenerg-3306 9 23 a a DET fuelectenerg-3306 9 24 wireless wireless ADJ fuelectenerg-3306 9 25 network network NOUN fuelectenerg-3306 9 26 . . PUNCT fuelectenerg-3306 10 1 for for ADP fuelectenerg-3306 10 2 example example NOUN fuelectenerg-3306 10 3 , , PUNCT fuelectenerg-3306 10 4 in in ADP fuelectenerg-3306 10 5 the the DET fuelectenerg-3306 10 6 attack attack NOUN fuelectenerg-3306 10 7 manuscript manuscript NOUN fuelectenerg-3306 10 8 received receive VERB fuelectenerg-3306 10 9 x x PROPN fuelectenerg-3306 10 10 x x NOUN fuelectenerg-3306 10 11 , , PUNCT fuelectenerg-3306 10 12 x x SYM fuelectenerg-3306 10 13 corresponding correspond VERB fuelectenerg-3306 10 14 author author NOUN fuelectenerg-3306 10 15 : : PUNCT fuelectenerg-3306 10 16 elena elena PROPN fuelectenerg-3306 10 17 dubrova dubrova PROPN fuelectenerg-3306 10 18 royal royal PROPN fuelectenerg-3306 10 19 institute institute PROPN fuelectenerg-3306 10 20 of of ADP fuelectenerg-3306 10 21 technology technology PROPN fuelectenerg-3306 10 22 ( ( PUNCT fuelectenerg-3306 10 23 kth kth PROPN fuelectenerg-3306 10 24 ) ) PUNCT fuelectenerg-3306 10 25 , , PUNCT fuelectenerg-3306 10 26 stockholm stockholm PROPN fuelectenerg-3306 10 27 , , PUNCT fuelectenerg-3306 10 28 sweden sweden PROPN fuelectenerg-3306 10 29 ( ( PUNCT fuelectenerg-3306 10 30 e e NOUN fuelectenerg-3306 10 31 - - NOUN fuelectenerg-3306 10 32 mail mail NOUN fuelectenerg-3306 10 33 : : PUNCT fuelectenerg-3306 10 34 dubrova@kth.se dubrova@kth.se NOUN fuelectenerg-3306 10 35 ) ) PUNCT fuelectenerg-3306 10 36 ∗an ∗an PUNCT fuelectenerg-3306 10 37 earlier early ADJ fuelectenerg-3306 10 38 version version NOUN fuelectenerg-3306 10 39 of of ADP fuelectenerg-3306 10 40 this this DET fuelectenerg-3306 10 41 paper paper NOUN fuelectenerg-3306 10 42 was be AUX fuelectenerg-3306 10 43 presented present VERB fuelectenerg-3306 10 44 as as ADP fuelectenerg-3306 10 45 an an DET fuelectenerg-3306 10 46 invited invite VERB fuelectenerg-3306 10 47 address address NOUN fuelectenerg-3306 10 48 at at ADP fuelectenerg-3306 10 49 the the DET fuelectenerg-3306 10 50 reed reed NOUN fuelectenerg-3306 10 51 - - PUNCT fuelectenerg-3306 10 52 muller muller NOUN fuelectenerg-3306 10 53 2017 2017 NUM fuelectenerg-3306 10 54 workshop workshop NOUN fuelectenerg-3306 10 55 , , PUNCT fuelectenerg-3306 10 56 novi novi PROPN fuelectenerg-3306 10 57 sad sad PROPN fuelectenerg-3306 10 58 , , PUNCT fuelectenerg-3306 10 59 serbia serbia PROPN fuelectenerg-3306 10 60 , , PUNCT fuelectenerg-3306 10 61 may may AUX fuelectenerg-3306 10 62 24 24 NUM fuelectenerg-3306 10 63 - - SYM fuelectenerg-3306 10 64 25 25 NUM fuelectenerg-3306 10 65 , , PUNCT fuelectenerg-3306 10 66 2017 2017 NUM fuelectenerg-3306 10 67 . . PUNCT fuelectenerg-3306 11 1 1 1 NUM fuelectenerg-3306 11 2 facta facta NOUN fuelectenerg-3306 11 3 universitatis universitatis PROPN fuelectenerg-3306 11 4 series series NOUN fuelectenerg-3306 11 5 : : PUNCT fuelectenerg-3306 11 6 electronics electronic NOUN fuelectenerg-3306 11 7 and and CCONJ fuelectenerg-3306 11 8 energetics energetics NOUN fuelectenerg-3306 11 9 vol vol NOUN fuelectenerg-3306 11 10 . . PUNCT fuelectenerg-3306 11 11 28 28 NUM fuelectenerg-3306 11 12 , , PUNCT fuelectenerg-3306 11 13 no no DET fuelectenerg-3306 11 14 1 1 NUM fuelectenerg-3306 11 15 , , PUNCT fuelectenerg-3306 11 16 march march PROPN fuelectenerg-3306 11 17 2018 2018 NUM fuelectenerg-3306 11 18 , , PUNCT fuelectenerg-3306 11 19 pp pp ADV fuelectenerg-3306 11 20 . . PUNCT fuelectenerg-3306 12 1 101 101 NUM fuelectenerg-3306 12 2 125 125 NUM fuelectenerg-3306 12 3 construction construction NOUN fuelectenerg-3306 12 4 of of ADP fuelectenerg-3306 12 5 subsets subset NOUN fuelectenerg-3306 12 6 of of ADP fuelectenerg-3306 12 7 bent bent ADJ fuelectenerg-3306 12 8 functions function NOUN fuelectenerg-3306 12 9 satisfying satisfy VERB fuelectenerg-3306 12 10 restrictions restriction NOUN fuelectenerg-3306 12 11 in in ADP fuelectenerg-3306 12 12 the the DET fuelectenerg-3306 12 13 reed reed NOUN fuelectenerg-3306 12 14 - - PUNCT fuelectenerg-3306 12 15 muller muller NOUN fuelectenerg-3306 12 16 domain domain NOUN fuelectenerg-3306 12 17 miloš miloš NOUN fuelectenerg-3306 12 18 radmanović1 radmanović1 NOUN fuelectenerg-3306 12 19 and and CCONJ fuelectenerg-3306 12 20 radomir radomir PROPN fuelectenerg-3306 12 21 s. s. PROPN fuelectenerg-3306 12 22 stanković1 stanković1 PROPN fuelectenerg-3306 12 23 1faculty 1faculty NUM fuelectenerg-3306 12 24 of of ADP fuelectenerg-3306 12 25 electronic electronic ADJ fuelectenerg-3306 12 26 engineering engineering NOUN fuelectenerg-3306 12 27 , , PUNCT fuelectenerg-3306 12 28 university university NOUN fuelectenerg-3306 12 29 of of ADP fuelectenerg-3306 12 30 nǐs nǐs PROPN fuelectenerg-3306 12 31 , , PUNCT fuelectenerg-3306 12 32 nǐs nǐs PROPN fuelectenerg-3306 12 33 , , PUNCT fuelectenerg-3306 12 34 serbia serbia PROPN fuelectenerg-3306 12 35 abstract abstract ADJ fuelectenerg-3306 12 36 : : PUNCT fuelectenerg-3306 12 37 bent bent ADJ fuelectenerg-3306 12 38 functions function NOUN fuelectenerg-3306 12 39 are be AUX fuelectenerg-3306 12 40 boolean boolean ADJ fuelectenerg-3306 12 41 functions function NOUN fuelectenerg-3306 12 42 with with ADP fuelectenerg-3306 12 43 highest high ADJ fuelectenerg-3306 12 44 nonlinearity nonlinearity NOUN fuelectenerg-3306 12 45 which which PRON fuelectenerg-3306 12 46 makes make VERB fuelectenerg-3306 12 47 them they PRON fuelectenerg-3306 12 48 interesting interesting ADJ fuelectenerg-3306 12 49 for for ADP fuelectenerg-3306 12 50 cryptography cryptography NOUN fuelectenerg-3306 12 51 . . PUNCT fuelectenerg-3306 13 1 determination determination NOUN fuelectenerg-3306 13 2 of of ADP fuelectenerg-3306 13 3 bent bent ADJ fuelectenerg-3306 13 4 functions function NOUN fuelectenerg-3306 13 5 is be AUX fuelectenerg-3306 13 6 an an DET fuelectenerg-3306 13 7 important important ADJ fuelectenerg-3306 13 8 but but CCONJ fuelectenerg-3306 13 9 hard hard ADJ fuelectenerg-3306 13 10 problem problem NOUN fuelectenerg-3306 13 11 , , PUNCT fuelectenerg-3306 13 12 since since SCONJ fuelectenerg-3306 13 13 the the DET fuelectenerg-3306 13 14 general general ADJ fuelectenerg-3306 13 15 structure structure NOUN fuelectenerg-3306 13 16 of of ADP fuelectenerg-3306 13 17 bent bent ADJ fuelectenerg-3306 13 18 functions function NOUN fuelectenerg-3306 13 19 is be AUX fuelectenerg-3306 13 20 still still ADV fuelectenerg-3306 13 21 unknown unknown ADJ fuelectenerg-3306 13 22 . . PUNCT fuelectenerg-3306 14 1 various various ADJ fuelectenerg-3306 14 2 constructions construction NOUN fuelectenerg-3306 14 3 methods method NOUN fuelectenerg-3306 14 4 for for ADP fuelectenerg-3306 14 5 bent bent ADJ fuelectenerg-3306 14 6 functions function NOUN fuelectenerg-3306 14 7 are be AUX fuelectenerg-3306 14 8 based base VERB fuelectenerg-3306 14 9 on on ADP fuelectenerg-3306 14 10 certain certain ADJ fuelectenerg-3306 14 11 deterministic deterministic ADJ fuelectenerg-3306 14 12 procedures procedure NOUN fuelectenerg-3306 14 13 , , PUNCT fuelectenerg-3306 14 14 which which PRON fuelectenerg-3306 14 15 might might AUX fuelectenerg-3306 14 16 result result VERB fuelectenerg-3306 14 17 in in ADP fuelectenerg-3306 14 18 some some DET fuelectenerg-3306 14 19 regularity regularity NOUN fuelectenerg-3306 14 20 that that PRON fuelectenerg-3306 14 21 is be AUX fuelectenerg-3306 14 22 a a DET fuelectenerg-3306 14 23 feature feature NOUN fuelectenerg-3306 14 24 undesired undesired ADJ fuelectenerg-3306 14 25 for for ADP fuelectenerg-3306 14 26 applications application NOUN fuelectenerg-3306 14 27 in in ADP fuelectenerg-3306 14 28 cryptography cryptography NOUN fuelectenerg-3306 14 29 . . PUNCT fuelectenerg-3306 15 1 random random ADJ fuelectenerg-3306 15 2 generation generation NOUN fuelectenerg-3306 15 3 of of ADP fuelectenerg-3306 15 4 bent bent ADJ fuelectenerg-3306 15 5 functions function NOUN fuelectenerg-3306 15 6 is be AUX fuelectenerg-3306 15 7 an an DET fuelectenerg-3306 15 8 alternative alternative NOUN fuelectenerg-3306 15 9 , , PUNCT fuelectenerg-3306 15 10 however however ADV fuelectenerg-3306 15 11 , , PUNCT fuelectenerg-3306 15 12 the the DET fuelectenerg-3306 15 13 search search NOUN fuelectenerg-3306 15 14 space space NOUN fuelectenerg-3306 15 15 is be AUX fuelectenerg-3306 15 16 very very ADV fuelectenerg-3306 15 17 large large ADJ fuelectenerg-3306 15 18 and and CCONJ fuelectenerg-3306 15 19 the the DET fuelectenerg-3306 15 20 related relate VERB fuelectenerg-3306 15 21 procedures procedure NOUN fuelectenerg-3306 15 22 are be AUX fuelectenerg-3306 15 23 time time NOUN fuelectenerg-3306 15 24 consuming consume VERB fuelectenerg-3306 15 25 . . PUNCT fuelectenerg-3306 16 1 a a DET fuelectenerg-3306 16 2 solution solution NOUN fuelectenerg-3306 16 3 is be AUX fuelectenerg-3306 16 4 to to PART fuelectenerg-3306 16 5 restrict restrict VERB fuelectenerg-3306 16 6 the the DET fuelectenerg-3306 16 7 search search NOUN fuelectenerg-3306 16 8 space space NOUN fuelectenerg-3306 16 9 by by ADP fuelectenerg-3306 16 10 imposing impose VERB fuelectenerg-3306 16 11 some some DET fuelectenerg-3306 16 12 conditions condition NOUN fuelectenerg-3306 16 13 that that PRON fuelectenerg-3306 16 14 should should AUX fuelectenerg-3306 16 15 be be AUX fuelectenerg-3306 16 16 satisfied satisfied ADJ fuelectenerg-3306 16 17 by by ADP fuelectenerg-3306 16 18 the the DET fuelectenerg-3306 16 19 produced produce VERB fuelectenerg-3306 16 20 bent bent ADJ fuelectenerg-3306 16 21 functions function NOUN fuelectenerg-3306 16 22 . . PUNCT fuelectenerg-3306 17 1 in in ADP fuelectenerg-3306 17 2 this this DET fuelectenerg-3306 17 3 paper paper NOUN fuelectenerg-3306 17 4 , , PUNCT fuelectenerg-3306 17 5 we we PRON fuelectenerg-3306 17 6 propose propose VERB fuelectenerg-3306 17 7 three three NUM fuelectenerg-3306 17 8 ways way NOUN fuelectenerg-3306 17 9 of of ADP fuelectenerg-3306 17 10 imposing impose VERB fuelectenerg-3306 17 11 such such ADJ fuelectenerg-3306 17 12 restrictions restriction NOUN fuelectenerg-3306 17 13 to to PART fuelectenerg-3306 17 14 construct construct VERB fuelectenerg-3306 17 15 subsets subset NOUN fuelectenerg-3306 17 16 of of ADP fuelectenerg-3306 17 17 boolean boolean ADJ fuelectenerg-3306 17 18 functions function NOUN fuelectenerg-3306 17 19 within within ADP fuelectenerg-3306 17 20 which which PRON fuelectenerg-3306 17 21 the the DET fuelectenerg-3306 17 22 bent bent ADJ fuelectenerg-3306 17 23 functions function NOUN fuelectenerg-3306 17 24 are be AUX fuelectenerg-3306 17 25 searched search VERB fuelectenerg-3306 17 26 . . PUNCT fuelectenerg-3306 18 1 we we PRON fuelectenerg-3306 18 2 estimate estimate VERB fuelectenerg-3306 18 3 experimentally experimentally ADV fuelectenerg-3306 18 4 the the DET fuelectenerg-3306 18 5 number number NOUN fuelectenerg-3306 18 6 of of ADP fuelectenerg-3306 18 7 bent bent ADJ fuelectenerg-3306 18 8 functions function NOUN fuelectenerg-3306 18 9 in in ADP fuelectenerg-3306 18 10 the the DET fuelectenerg-3306 18 11 corresponding corresponding ADJ fuelectenerg-3306 18 12 subsets subset NOUN fuelectenerg-3306 18 13 of of ADP fuelectenerg-3306 18 14 boolean boolean ADJ fuelectenerg-3306 18 15 functions function NOUN fuelectenerg-3306 18 16 . . PUNCT fuelectenerg-3306 19 1 keywords keyword NOUN fuelectenerg-3306 19 2 : : PUNCT fuelectenerg-3306 19 3 cryptography cryptography NOUN fuelectenerg-3306 19 4 , , PUNCT fuelectenerg-3306 19 5 boolean boolean ADJ fuelectenerg-3306 19 6 functions function NOUN fuelectenerg-3306 19 7 , , PUNCT fuelectenerg-3306 19 8 bent bent ADJ fuelectenerg-3306 19 9 , , PUNCT fuelectenerg-3306 19 10 reed reed NOUN fuelectenerg-3306 19 11 - - PUNCT fuelectenerg-3306 19 12 muller muller NOUN fuelectenerg-3306 19 13 domain domain NOUN fuelectenerg-3306 19 14 , , PUNCT fuelectenerg-3306 19 15 subsets subset NOUN fuelectenerg-3306 19 16 . . PUNCT fuelectenerg-3306 20 1 1 1 NUM fuelectenerg-3306 20 2 introduction introduction NOUN fuelectenerg-3306 20 3 bent bent ADJ fuelectenerg-3306 20 4 functions function NOUN fuelectenerg-3306 20 5 are be AUX fuelectenerg-3306 20 6 by by ADP fuelectenerg-3306 20 7 definition definition NOUN fuelectenerg-3306 20 8 the the DET fuelectenerg-3306 20 9 most most ADV fuelectenerg-3306 20 10 nonlinear nonlinear ADJ fuelectenerg-3306 20 11 boolean boolean ADJ fuelectenerg-3306 20 12 functions function NOUN fuelectenerg-3306 20 13 , , PUNCT fuelectenerg-3306 20 14 i.e. i.e. X fuelectenerg-3306 20 15 , , PUNCT fuelectenerg-3306 20 16 at at ADP fuelectenerg-3306 20 17 the the DET fuelectenerg-3306 20 18 maximum maximum ADJ fuelectenerg-3306 20 19 distance distance NOUN fuelectenerg-3306 20 20 of of ADP fuelectenerg-3306 20 21 2n−1−2n/2−1 2n−1−2n/2−1 NUM fuelectenerg-3306 20 22 , , PUNCT fuelectenerg-3306 20 23 n n CCONJ fuelectenerg-3306 20 24 - - PUNCT fuelectenerg-3306 20 25 number number NOUN fuelectenerg-3306 20 26 of of ADP fuelectenerg-3306 20 27 variables variable NOUN fuelectenerg-3306 20 28 , , PUNCT fuelectenerg-3306 20 29 from from ADP fuelectenerg-3306 20 30 affine affine PROPN fuelectenerg-3306 20 31 manuscript manuscript NOUN fuelectenerg-3306 20 32 received receive VERB fuelectenerg-3306 20 33 january january PROPN fuelectenerg-3306 20 34 31 31 NUM fuelectenerg-3306 20 35 , , PUNCT fuelectenerg-3306 20 36 2018 2018 NUM fuelectenerg-3306 20 37 corresponding correspond VERB fuelectenerg-3306 20 38 author author NOUN fuelectenerg-3306 20 39 : : PUNCT fuelectenerg-3306 20 40 miloš miloš ADJ fuelectenerg-3306 20 41 radmanović radmanović ADJ fuelectenerg-3306 20 42 faculty faculty NOUN fuelectenerg-3306 20 43 of of ADP fuelectenerg-3306 20 44 electronic electronic ADJ fuelectenerg-3306 20 45 engineering engineering NOUN fuelectenerg-3306 20 46 , , PUNCT fuelectenerg-3306 20 47 university university NOUN fuelectenerg-3306 20 48 of of ADP fuelectenerg-3306 20 49 nǐs nǐs PROPN fuelectenerg-3306 20 50 , , PUNCT fuelectenerg-3306 20 51 nǐs nǐs PROPN fuelectenerg-3306 20 52 , , PUNCT fuelectenerg-3306 20 53 serbia serbia PROPN fuelectenerg-3306 20 54 ( ( PUNCT fuelectenerg-3306 20 55 e e NOUN fuelectenerg-3306 20 56 - - NOUN fuelectenerg-3306 20 57 mail mail NOUN fuelectenerg-3306 20 58 : : PUNCT fuelectenerg-3306 20 59 milos.radmanovic@elfak.ni.ac.rs milos.radmanovic@elfak.ni.ac.rs NUM fuelectenerg-3306 20 60 ) ) PUNCT fuelectenerg-3306 20 61 * * PUNCT fuelectenerg-3306 20 62 an an DET fuelectenerg-3306 20 63 earlier early ADJ fuelectenerg-3306 20 64 version version NOUN fuelectenerg-3306 20 65 of of ADP fuelectenerg-3306 20 66 this this DET fuelectenerg-3306 20 67 paper paper NOUN fuelectenerg-3306 20 68 was be AUX fuelectenerg-3306 20 69 presented present VERB fuelectenerg-3306 20 70 as as ADP fuelectenerg-3306 20 71 an an DET fuelectenerg-3306 20 72 invited invite VERB fuelectenerg-3306 20 73 address address NOUN fuelectenerg-3306 20 74 at at ADP fuelectenerg-3306 20 75 the the DET fuelectenerg-3306 20 76 reed reed NOUN fuelectenerg-3306 20 77 - - PUNCT fuelectenerg-3306 20 78 muller muller NOUN fuelectenerg-3306 20 79 2017 2017 NUM fuelectenerg-3306 20 80 workshop workshop NOUN fuelectenerg-3306 20 81 , , PUNCT fuelectenerg-3306 20 82 novi novi PROPN fuelectenerg-3306 20 83 sad sad PROPN fuelectenerg-3306 20 84 , , PUNCT fuelectenerg-3306 20 85 serbia serbia PROPN fuelectenerg-3306 20 86 , , PUNCT fuelectenerg-3306 20 87 may may AUX fuelectenerg-3306 20 88 24 24 NUM fuelectenerg-3306 20 89 - - SYM fuelectenerg-3306 20 90 25 25 NUM fuelectenerg-3306 20 91 , , PUNCT fuelectenerg-3306 20 92 2017 2017 NUM fuelectenerg-3306 20 93 1 1 NUM fuelectenerg-3306 20 94 2 2 NUM fuelectenerg-3306 20 95 m. m. NOUN fuelectenerg-3306 20 96 radmanović radmanović NOUN fuelectenerg-3306 20 97 and and CCONJ fuelectenerg-3306 20 98 r. r. PROPN fuelectenerg-3306 20 99 stanković stanković PROPN fuelectenerg-3306 20 100 functions function NOUN fuelectenerg-3306 20 101 . . PUNCT fuelectenerg-3306 21 1 due due ADP fuelectenerg-3306 21 2 to to ADP fuelectenerg-3306 21 3 that that DET fuelectenerg-3306 21 4 property property NOUN fuelectenerg-3306 21 5 , , PUNCT fuelectenerg-3306 21 6 bent bent ADJ fuelectenerg-3306 21 7 functions function NOUN fuelectenerg-3306 21 8 are be AUX fuelectenerg-3306 21 9 useful useful ADJ fuelectenerg-3306 21 10 for for ADP fuelectenerg-3306 21 11 cryptographic cryptographic ADJ fuelectenerg-3306 21 12 purposes purpose NOUN fuelectenerg-3306 21 13 , , PUNCT fuelectenerg-3306 21 14 such such ADJ fuelectenerg-3306 21 15 as as ADP fuelectenerg-3306 21 16 block block NOUN fuelectenerg-3306 21 17 ciphers cipher NOUN fuelectenerg-3306 21 18 , , PUNCT fuelectenerg-3306 21 19 stream stream NOUN fuelectenerg-3306 21 20 ciphers cipher NOUN fuelectenerg-3306 21 21 , , PUNCT fuelectenerg-3306 21 22 and and CCONJ fuelectenerg-3306 21 23 hash hash NOUN fuelectenerg-3306 21 24 functions function NOUN fuelectenerg-3306 21 25 in in ADP fuelectenerg-3306 21 26 many many ADJ fuelectenerg-3306 21 27 areas area NOUN fuelectenerg-3306 21 28 [ [ X fuelectenerg-3306 21 29 1 1 NUM fuelectenerg-3306 21 30 ] ] PUNCT fuelectenerg-3306 21 31 , , PUNCT fuelectenerg-3306 21 32 [ [ X fuelectenerg-3306 21 33 2 2 NUM fuelectenerg-3306 21 34 ] ] PUNCT fuelectenerg-3306 21 35 . . PUNCT fuelectenerg-3306 22 1 they they PRON fuelectenerg-3306 22 2 have have AUX fuelectenerg-3306 22 3 been be AUX fuelectenerg-3306 22 4 attracted attract VERB fuelectenerg-3306 22 5 a a DET fuelectenerg-3306 22 6 lot lot NOUN fuelectenerg-3306 22 7 of of ADP fuelectenerg-3306 22 8 attention attention NOUN fuelectenerg-3306 22 9 in in ADP fuelectenerg-3306 22 10 cryptography cryptography NOUN fuelectenerg-3306 22 11 , , PUNCT fuelectenerg-3306 22 12 but but CCONJ fuelectenerg-3306 22 13 have have AUX fuelectenerg-3306 22 14 also also ADV fuelectenerg-3306 22 15 studied study VERB fuelectenerg-3306 22 16 in in ADP fuelectenerg-3306 22 17 many many ADJ fuelectenerg-3306 22 18 other other ADJ fuelectenerg-3306 22 19 areas area NOUN fuelectenerg-3306 22 20 such such ADJ fuelectenerg-3306 22 21 as as ADP fuelectenerg-3306 22 22 combinatorics combinatoric NOUN fuelectenerg-3306 22 23 , , PUNCT fuelectenerg-3306 22 24 coding code VERB fuelectenerg-3306 22 25 theory theory NOUN fuelectenerg-3306 22 26 , , PUNCT fuelectenerg-3306 22 27 logic logic NOUN fuelectenerg-3306 22 28 synthesis synthesis NOUN fuelectenerg-3306 22 29 , , PUNCT fuelectenerg-3306 22 30 and and CCONJ fuelectenerg-3306 22 31 signal signal VERB fuelectenerg-3306 22 32 processing processing NOUN fuelectenerg-3306 22 33 [ [ X fuelectenerg-3306 22 34 3 3 NUM fuelectenerg-3306 22 35 ] ] PUNCT fuelectenerg-3306 22 36 , , PUNCT fuelectenerg-3306 22 37 [ [ X fuelectenerg-3306 22 38 4 4 NUM fuelectenerg-3306 22 39 ] ] PUNCT fuelectenerg-3306 22 40 . . PUNCT fuelectenerg-3306 23 1 the the DET fuelectenerg-3306 23 2 problem problem NOUN fuelectenerg-3306 23 3 is be AUX fuelectenerg-3306 23 4 that that SCONJ fuelectenerg-3306 23 5 they they PRON fuelectenerg-3306 23 6 are be AUX fuelectenerg-3306 23 7 not not PART fuelectenerg-3306 23 8 balanced balanced ADJ fuelectenerg-3306 23 9 . . PUNCT fuelectenerg-3306 24 1 therefore therefore ADV fuelectenerg-3306 24 2 , , PUNCT fuelectenerg-3306 24 3 constructing construct VERB fuelectenerg-3306 24 4 bent bent ADJ fuelectenerg-3306 24 5 functions function NOUN fuelectenerg-3306 24 6 followed follow VERB fuelectenerg-3306 24 7 by by ADP fuelectenerg-3306 24 8 a a DET fuelectenerg-3306 24 9 procedure procedure NOUN fuelectenerg-3306 24 10 to to PART fuelectenerg-3306 24 11 make make VERB fuelectenerg-3306 24 12 them they PRON fuelectenerg-3306 24 13 balanced balanced ADJ fuelectenerg-3306 24 14 is be AUX fuelectenerg-3306 24 15 in in ADP fuelectenerg-3306 24 16 foundations foundation NOUN fuelectenerg-3306 24 17 of of ADP fuelectenerg-3306 24 18 many many ADJ fuelectenerg-3306 24 19 cryptographic cryptographic ADJ fuelectenerg-3306 24 20 procedures procedure NOUN fuelectenerg-3306 24 21 . . PUNCT fuelectenerg-3306 25 1 there there PRON fuelectenerg-3306 25 2 are be VERB fuelectenerg-3306 25 3 many many ADJ fuelectenerg-3306 25 4 procedures procedure NOUN fuelectenerg-3306 25 5 to to PART fuelectenerg-3306 25 6 construct construct VERB fuelectenerg-3306 25 7 bent bent ADJ fuelectenerg-3306 25 8 functions function NOUN fuelectenerg-3306 25 9 , , PUNCT fuelectenerg-3306 25 10 but but CCONJ fuelectenerg-3306 25 11 most most ADJ fuelectenerg-3306 25 12 of of ADP fuelectenerg-3306 25 13 them they PRON fuelectenerg-3306 25 14 are be AUX fuelectenerg-3306 25 15 exhaustive exhaustive ADJ fuelectenerg-3306 25 16 in in ADP fuelectenerg-3306 25 17 the the DET fuelectenerg-3306 25 18 sense sense NOUN fuelectenerg-3306 25 19 that that PRON fuelectenerg-3306 25 20 can can AUX fuelectenerg-3306 25 21 produce produce VERB fuelectenerg-3306 25 22 all all DET fuelectenerg-3306 25 23 bent bent ADJ fuelectenerg-3306 25 24 functions function NOUN fuelectenerg-3306 25 25 for for ADP fuelectenerg-3306 25 26 a a DET fuelectenerg-3306 25 27 given give VERB fuelectenerg-3306 25 28 n. n. NOUN fuelectenerg-3306 25 29 another another DET fuelectenerg-3306 25 30 problem problem NOUN fuelectenerg-3306 25 31 is be AUX fuelectenerg-3306 25 32 that that SCONJ fuelectenerg-3306 25 33 being be AUX fuelectenerg-3306 25 34 based base VERB fuelectenerg-3306 25 35 on on ADP fuelectenerg-3306 25 36 some some DET fuelectenerg-3306 25 37 deterministic deterministic ADJ fuelectenerg-3306 25 38 procedures procedure NOUN fuelectenerg-3306 25 39 , , PUNCT fuelectenerg-3306 25 40 there there PRON fuelectenerg-3306 25 41 is be VERB fuelectenerg-3306 25 42 a a DET fuelectenerg-3306 25 43 no no DET fuelectenerg-3306 25 44 negligible negligible ADJ fuelectenerg-3306 25 45 possibility possibility NOUN fuelectenerg-3306 25 46 that that SCONJ fuelectenerg-3306 25 47 the the DET fuelectenerg-3306 25 48 produced produce VERB fuelectenerg-3306 25 49 bent bent ADJ fuelectenerg-3306 25 50 function function NOUN fuelectenerg-3306 25 51 might might AUX fuelectenerg-3306 25 52 express express VERB fuelectenerg-3306 25 53 some some DET fuelectenerg-3306 25 54 degree degree NOUN fuelectenerg-3306 25 55 of of ADP fuelectenerg-3306 25 56 regularity regularity NOUN fuelectenerg-3306 25 57 . . PUNCT fuelectenerg-3306 26 1 random random ADJ fuelectenerg-3306 26 2 generation generation NOUN fuelectenerg-3306 26 3 of of ADP fuelectenerg-3306 26 4 bent bent ADJ fuelectenerg-3306 26 5 functions function NOUN fuelectenerg-3306 26 6 is be AUX fuelectenerg-3306 26 7 often often ADV fuelectenerg-3306 26 8 used use VERB fuelectenerg-3306 26 9 as as ADP fuelectenerg-3306 26 10 an an DET fuelectenerg-3306 26 11 alternative alternative NOUN fuelectenerg-3306 26 12 . . PUNCT fuelectenerg-3306 27 1 the the DET fuelectenerg-3306 27 2 problem problem NOUN fuelectenerg-3306 27 3 is be AUX fuelectenerg-3306 27 4 however however ADV fuelectenerg-3306 27 5 that that SCONJ fuelectenerg-3306 27 6 the the DET fuelectenerg-3306 27 7 number number NOUN fuelectenerg-3306 27 8 of of ADP fuelectenerg-3306 27 9 bent bent ADJ fuelectenerg-3306 27 10 functions function NOUN fuelectenerg-3306 27 11 is be AUX fuelectenerg-3306 27 12 very very ADV fuelectenerg-3306 27 13 small small ADJ fuelectenerg-3306 27 14 compared compare VERB fuelectenerg-3306 27 15 to to ADP fuelectenerg-3306 27 16 the the DET fuelectenerg-3306 27 17 total total ADJ fuelectenerg-3306 27 18 number number NOUN fuelectenerg-3306 27 19 of of ADP fuelectenerg-3306 27 20 22n 22n NOUN fuelectenerg-3306 27 21 boolean boolean ADJ fuelectenerg-3306 27 22 functions function NOUN fuelectenerg-3306 27 23 . . PUNCT fuelectenerg-3306 28 1 expressed express VERB fuelectenerg-3306 28 2 in in ADP fuelectenerg-3306 28 3 percentages percentage NOUN fuelectenerg-3306 28 4 , , PUNCT fuelectenerg-3306 28 5 it it PRON fuelectenerg-3306 28 6 is be AUX fuelectenerg-3306 28 7 1 1 NUM fuelectenerg-3306 28 8 , , PUNCT fuelectenerg-3306 28 9 36 36 NUM fuelectenerg-3306 28 10 % % NOUN fuelectenerg-3306 28 11 , , PUNCT fuelectenerg-3306 28 12 2 2 NUM fuelectenerg-3306 28 13 , , PUNCT fuelectenerg-3306 28 14 94×10−8 94×10−8 NUM fuelectenerg-3306 28 15 % % NOUN fuelectenerg-3306 28 16 , , PUNCT fuelectenerg-3306 28 17 and and CCONJ fuelectenerg-3306 28 18 8 8 NUM fuelectenerg-3306 28 19 , , PUNCT fuelectenerg-3306 28 20 57×10−44 57×10−44 NOUN fuelectenerg-3306 28 21 % % NOUN fuelectenerg-3306 28 22 for for ADP fuelectenerg-3306 28 23 n n NOUN fuelectenerg-3306 28 24 = = SYM fuelectenerg-3306 28 25 4 4 NUM fuelectenerg-3306 28 26 , , PUNCT fuelectenerg-3306 28 27 6 6 NUM fuelectenerg-3306 28 28 , , PUNCT fuelectenerg-3306 28 29 8 8 NUM fuelectenerg-3306 28 30 , , PUNCT fuelectenerg-3306 28 31 out out ADP fuelectenerg-3306 28 32 of of ADP fuelectenerg-3306 28 33 65.536 65.536 NUM fuelectenerg-3306 28 34 , , PUNCT fuelectenerg-3306 28 35 18.446.744.073.709.551.616 18.446.744.073.709.551.616 NUM fuelectenerg-3306 28 36 , , PUNCT fuelectenerg-3306 28 37 and and CCONJ fuelectenerg-3306 28 38 1 1 NUM fuelectenerg-3306 28 39 , , PUNCT fuelectenerg-3306 28 40 1579208923731619542357098500869 1579208923731619542357098500869 NUM fuelectenerg-3306 28 41 × × NOUN fuelectenerg-3306 28 42 10 10 NUM fuelectenerg-3306 28 43 + + NOUN fuelectenerg-3306 28 44 77 77 NUM fuelectenerg-3306 28 45 functions function NOUN fuelectenerg-3306 28 46 . . PUNCT fuelectenerg-3306 29 1 therefore therefore ADV fuelectenerg-3306 29 2 , , PUNCT fuelectenerg-3306 29 3 random random ADJ fuelectenerg-3306 29 4 finding finding NOUN fuelectenerg-3306 29 5 of of ADP fuelectenerg-3306 29 6 bent bent ADJ fuelectenerg-3306 29 7 functions function NOUN fuelectenerg-3306 29 8 necessarily necessarily ADV fuelectenerg-3306 29 9 requires require VERB fuelectenerg-3306 29 10 reduction reduction NOUN fuelectenerg-3306 29 11 of of ADP fuelectenerg-3306 29 12 the the DET fuelectenerg-3306 29 13 search search NOUN fuelectenerg-3306 29 14 space space NOUN fuelectenerg-3306 29 15 by by ADP fuelectenerg-3306 29 16 using use VERB fuelectenerg-3306 29 17 properties property NOUN fuelectenerg-3306 29 18 of of ADP fuelectenerg-3306 29 19 bent bent ADJ fuelectenerg-3306 29 20 functions function NOUN fuelectenerg-3306 29 21 . . PUNCT fuelectenerg-3306 30 1 in in ADP fuelectenerg-3306 30 2 this this DET fuelectenerg-3306 30 3 paper paper NOUN fuelectenerg-3306 30 4 , , PUNCT fuelectenerg-3306 30 5 we we PRON fuelectenerg-3306 30 6 explore explore VERB fuelectenerg-3306 30 7 how how SCONJ fuelectenerg-3306 30 8 large large ADJ fuelectenerg-3306 30 9 is be AUX fuelectenerg-3306 30 10 the the DET fuelectenerg-3306 30 11 number number NOUN fuelectenerg-3306 30 12 of of ADP fuelectenerg-3306 30 13 bent bent ADJ fuelectenerg-3306 30 14 functions function NOUN fuelectenerg-3306 30 15 in in ADP fuelectenerg-3306 30 16 certain certain ADJ fuelectenerg-3306 30 17 restricted restricted ADJ fuelectenerg-3306 30 18 subsets subset NOUN fuelectenerg-3306 30 19 of of ADP fuelectenerg-3306 30 20 boolean boolean ADJ fuelectenerg-3306 30 21 functions function NOUN fuelectenerg-3306 30 22 with with ADP fuelectenerg-3306 30 23 restrictions restriction NOUN fuelectenerg-3306 30 24 derived derive VERB fuelectenerg-3306 30 25 from from ADP fuelectenerg-3306 30 26 properties property NOUN fuelectenerg-3306 30 27 of of ADP fuelectenerg-3306 30 28 bent bent ADJ fuelectenerg-3306 30 29 functions function NOUN fuelectenerg-3306 30 30 . . PUNCT fuelectenerg-3306 31 1 the the DET fuelectenerg-3306 31 2 aim aim NOUN fuelectenerg-3306 31 3 is be AUX fuelectenerg-3306 31 4 to to PART fuelectenerg-3306 31 5 provide provide VERB fuelectenerg-3306 31 6 specifications specification NOUN fuelectenerg-3306 31 7 how how SCONJ fuelectenerg-3306 31 8 to to PART fuelectenerg-3306 31 9 restrict restrict VERB fuelectenerg-3306 31 10 the the DET fuelectenerg-3306 31 11 search search NOUN fuelectenerg-3306 31 12 space space NOUN fuelectenerg-3306 31 13 for for ADP fuelectenerg-3306 31 14 bent bent ADJ fuelectenerg-3306 31 15 functions function NOUN fuelectenerg-3306 31 16 according accord VERB fuelectenerg-3306 31 17 to to ADP fuelectenerg-3306 31 18 the the DET fuelectenerg-3306 31 19 probability probability NOUN fuelectenerg-3306 31 20 of of ADP fuelectenerg-3306 31 21 finding find VERB fuelectenerg-3306 31 22 them they PRON fuelectenerg-3306 31 23 in in ADP fuelectenerg-3306 31 24 predefined predefine VERB fuelectenerg-3306 31 25 subsets subset NOUN fuelectenerg-3306 31 26 of of ADP fuelectenerg-3306 31 27 boolean boolean ADJ fuelectenerg-3306 31 28 functions function NOUN fuelectenerg-3306 31 29 . . PUNCT fuelectenerg-3306 32 1 the the DET fuelectenerg-3306 32 2 restrictions restriction NOUN fuelectenerg-3306 32 3 are be AUX fuelectenerg-3306 32 4 formulated formulate VERB fuelectenerg-3306 32 5 in in ADP fuelectenerg-3306 32 6 the the DET fuelectenerg-3306 32 7 reed reed NOUN fuelectenerg-3306 32 8 - - PUNCT fuelectenerg-3306 32 9 muller muller NOUN fuelectenerg-3306 32 10 ( ( PUNCT fuelectenerg-3306 32 11 rm rm PROPN fuelectenerg-3306 32 12 ) ) PUNCT fuelectenerg-3306 32 13 domain domain NOUN fuelectenerg-3306 32 14 [ [ X fuelectenerg-3306 32 15 5 5 NUM fuelectenerg-3306 32 16 ] ] PUNCT fuelectenerg-3306 32 17 . . PUNCT fuelectenerg-3306 33 1 this this DET fuelectenerg-3306 33 2 paper paper NOUN fuelectenerg-3306 33 3 is be AUX fuelectenerg-3306 33 4 organized organize VERB fuelectenerg-3306 33 5 as as SCONJ fuelectenerg-3306 33 6 follows follow VERB fuelectenerg-3306 33 7 : : PUNCT fuelectenerg-3306 33 8 section section NOUN fuelectenerg-3306 33 9 2 2 NUM fuelectenerg-3306 33 10 shortly shortly ADV fuelectenerg-3306 33 11 introduces introduce VERB fuelectenerg-3306 33 12 the the DET fuelectenerg-3306 33 13 theoretical theoretical ADJ fuelectenerg-3306 33 14 background background NOUN fuelectenerg-3306 33 15 and and CCONJ fuelectenerg-3306 33 16 necessary necessary ADJ fuelectenerg-3306 33 17 concepts concept NOUN fuelectenerg-3306 33 18 to to PART fuelectenerg-3306 33 19 be be AUX fuelectenerg-3306 33 20 discussed discuss VERB fuelectenerg-3306 33 21 . . PUNCT fuelectenerg-3306 34 1 in in ADP fuelectenerg-3306 34 2 section section NOUN fuelectenerg-3306 34 3 3 3 NUM fuelectenerg-3306 34 4 , , PUNCT fuelectenerg-3306 34 5 three three NUM fuelectenerg-3306 34 6 approaches approach NOUN fuelectenerg-3306 34 7 to to ADP fuelectenerg-3306 34 8 the the DET fuelectenerg-3306 34 9 restriction restriction NOUN fuelectenerg-3306 34 10 of of ADP fuelectenerg-3306 34 11 the the DET fuelectenerg-3306 34 12 search search NOUN fuelectenerg-3306 34 13 space space NOUN fuelectenerg-3306 34 14 in in ADP fuelectenerg-3306 34 15 finding find VERB fuelectenerg-3306 34 16 bent bent ADJ fuelectenerg-3306 34 17 functions function NOUN fuelectenerg-3306 34 18 in in ADP fuelectenerg-3306 34 19 rm rm NOUN fuelectenerg-3306 34 20 domain domain NOUN fuelectenerg-3306 34 21 are be AUX fuelectenerg-3306 34 22 presented present VERB fuelectenerg-3306 34 23 . . PUNCT fuelectenerg-3306 35 1 the the DET fuelectenerg-3306 35 2 experimental experimental ADJ fuelectenerg-3306 35 3 results result NOUN fuelectenerg-3306 35 4 are be AUX fuelectenerg-3306 35 5 shown show VERB fuelectenerg-3306 35 6 and and CCONJ fuelectenerg-3306 35 7 discussed discuss VERB fuelectenerg-3306 35 8 in in ADP fuelectenerg-3306 35 9 section section NOUN fuelectenerg-3306 35 10 4 4 NUM fuelectenerg-3306 35 11 . . PUNCT fuelectenerg-3306 36 1 the the DET fuelectenerg-3306 36 2 closing closing NOUN fuelectenerg-3306 36 3 section section NOUN fuelectenerg-3306 36 4 5 5 NUM fuelectenerg-3306 36 5 summarizes summarize VERB fuelectenerg-3306 36 6 the the DET fuelectenerg-3306 36 7 results result NOUN fuelectenerg-3306 36 8 of of ADP fuelectenerg-3306 36 9 the the DET fuelectenerg-3306 36 10 research research NOUN fuelectenerg-3306 36 11 reported report VERB fuelectenerg-3306 36 12 in in ADP fuelectenerg-3306 36 13 this this DET fuelectenerg-3306 36 14 paper paper NOUN fuelectenerg-3306 36 15 . . PUNCT fuelectenerg-3306 37 1 2 2 NUM fuelectenerg-3306 37 2 background background NOUN fuelectenerg-3306 37 3 theory theory NOUN fuelectenerg-3306 37 4 2.1 2.1 NUM fuelectenerg-3306 37 5 reed reed NOUN fuelectenerg-3306 37 6 - - PUNCT fuelectenerg-3306 37 7 muller muller NOUN fuelectenerg-3306 37 8 transform transform VERB fuelectenerg-3306 37 9 the the DET fuelectenerg-3306 37 10 algebraic algebraic ADJ fuelectenerg-3306 37 11 normal normal ADJ fuelectenerg-3306 37 12 form form NOUN fuelectenerg-3306 37 13 ( ( PUNCT fuelectenerg-3306 37 14 anf anf VERB fuelectenerg-3306 37 15 ) ) PUNCT fuelectenerg-3306 37 16 is be AUX fuelectenerg-3306 37 17 one one NUM fuelectenerg-3306 37 18 of of ADP fuelectenerg-3306 37 19 the the DET fuelectenerg-3306 37 20 most most ADV fuelectenerg-3306 37 21 used used ADJ fuelectenerg-3306 37 22 representations representation NOUN fuelectenerg-3306 37 23 in in ADP fuelectenerg-3306 37 24 cryptography cryptography NOUN fuelectenerg-3306 37 25 . . PUNCT fuelectenerg-3306 38 1 every every DET fuelectenerg-3306 38 2 boolean boolean ADJ fuelectenerg-3306 38 3 function function NOUN fuelectenerg-3306 38 4 has have VERB fuelectenerg-3306 38 5 a a DET fuelectenerg-3306 38 6 unique unique ADJ fuelectenerg-3306 38 7 representation representation NOUN fuelectenerg-3306 38 8 in in ADP fuelectenerg-3306 38 9 facta facta PROPN fuelectenerg-3306 38 10 universitatis universitatis PROPN fuelectenerg-3306 38 11 series series NOUN fuelectenerg-3306 38 12 : : PUNCT fuelectenerg-3306 38 13 electronics electronic NOUN fuelectenerg-3306 38 14 and and CCONJ fuelectenerg-3306 38 15 energetics energetics NOUN fuelectenerg-3306 38 16 vol vol NOUN fuelectenerg-3306 38 17 . . PUNCT fuelectenerg-3306 39 1 31 31 NUM fuelectenerg-3306 39 2 , , PUNCT fuelectenerg-3306 39 3 no no DET fuelectenerg-3306 39 4 2 2 NUM fuelectenerg-3306 39 5 , , PUNCT fuelectenerg-3306 39 6 june june PROPN fuelectenerg-3306 39 7 2018 2018 NUM fuelectenerg-3306 39 8 , , PUNCT fuelectenerg-3306 39 9 pp pp PROPN fuelectenerg-3306 39 10 . . PUNCT fuelectenerg-3306 40 1 207 207 NUM fuelectenerg-3306 40 2 222 222 NUM fuelectenerg-3306 40 3 https://doi.org/10.2298/fuee1802207r https://doi.org/10.2298/fuee1802207r PROPN fuelectenerg-3306 40 4 miloš miloš NOUN fuelectenerg-3306 40 5 radmanović radmanović NOUN fuelectenerg-3306 40 6 , , PUNCT fuelectenerg-3306 40 7 radomir radomir PROPN fuelectenerg-3306 40 8 s. s. PROPN fuelectenerg-3306 40 9 stanković stanković PROPN fuelectenerg-3306 40 10 received receive VERB fuelectenerg-3306 40 11 october october PROPN fuelectenerg-3306 40 12 21 21 NUM fuelectenerg-3306 40 13 , , PUNCT fuelectenerg-3306 40 14 2017 2017 NUM fuelectenerg-3306 40 15 ; ; PUNCT fuelectenerg-3306 40 16 received receive VERB fuelectenerg-3306 40 17 in in ADP fuelectenerg-3306 40 18 revised revise VERB fuelectenerg-3306 40 19 form form NOUN fuelectenerg-3306 40 20 january january PROPN fuelectenerg-3306 40 21 31 31 NUM fuelectenerg-3306 40 22 , , PUNCT fuelectenerg-3306 40 23 2018 2018 NUM fuelectenerg-3306 40 24 corresponding correspond VERB fuelectenerg-3306 40 25 author author NOUN fuelectenerg-3306 40 26 : : PUNCT fuelectenerg-3306 40 27 miloš miloš NOUN fuelectenerg-3306 40 28 radmanović radmanović VERB fuelectenerg-3306 40 29 faculty faculty NOUN fuelectenerg-3306 40 30 of of ADP fuelectenerg-3306 40 31 electronic electronic ADJ fuelectenerg-3306 40 32 engineering engineering NOUN fuelectenerg-3306 40 33 , , PUNCT fuelectenerg-3306 40 34 university university PROPN fuelectenerg-3306 40 35 of of ADP fuelectenerg-3306 40 36 niš niš PROPN fuelectenerg-3306 40 37 , , PUNCT fuelectenerg-3306 40 38 medevedeva medevedeva VERB fuelectenerg-3306 40 39 14 14 NUM fuelectenerg-3306 40 40 , , PUNCT fuelectenerg-3306 40 41 18000 18000 NUM fuelectenerg-3306 40 42 niš niš NOUN fuelectenerg-3306 40 43 , , PUNCT fuelectenerg-3306 40 44 serbia serbia PROPN fuelectenerg-3306 40 45 ( ( PUNCT fuelectenerg-3306 40 46 e e NOUN fuelectenerg-3306 40 47 - - NOUN fuelectenerg-3306 40 48 mail mail NOUN fuelectenerg-3306 40 49 : : PUNCT fuelectenerg-3306 40 50 milos.radmanovic@elfak.ni.ac.rs milos.radmanovic@elfak.ni.ac.rs NUM fuelectenerg-3306 40 51 ) ) PUNCT fuelectenerg-3306 40 52 * * PUNCT fuelectenerg-3306 40 53 an an DET fuelectenerg-3306 40 54 earlier early ADJ fuelectenerg-3306 40 55 version version NOUN fuelectenerg-3306 40 56 of of ADP fuelectenerg-3306 40 57 this this DET fuelectenerg-3306 40 58 paper paper NOUN fuelectenerg-3306 40 59 was be AUX fuelectenerg-3306 40 60 presented present VERB fuelectenerg-3306 40 61 as as ADP fuelectenerg-3306 40 62 an an DET fuelectenerg-3306 40 63 invited invite VERB fuelectenerg-3306 40 64 address address NOUN fuelectenerg-3306 40 65 at at ADP fuelectenerg-3306 40 66 the the DET fuelectenerg-3306 40 67 reed reed NOUN fuelectenerg-3306 40 68 - - PUNCT fuelectenerg-3306 40 69 muller muller NOUN fuelectenerg-3306 40 70 2017 2017 NUM fuelectenerg-3306 40 71 workshop workshop NOUN fuelectenerg-3306 40 72 , , PUNCT fuelectenerg-3306 40 73 novi novi PROPN fuelectenerg-3306 40 74 sad sad PROPN fuelectenerg-3306 40 75 , , PUNCT fuelectenerg-3306 40 76 serbia serbia PROPN fuelectenerg-3306 40 77 , , PUNCT fuelectenerg-3306 40 78 may may AUX fuelectenerg-3306 40 79 24 24 NUM fuelectenerg-3306 40 80 - - SYM fuelectenerg-3306 40 81 25 25 NUM fuelectenerg-3306 40 82 , , PUNCT fuelectenerg-3306 40 83 2017 2017 NUM fuelectenerg-3306 40 84 facta facta NOUN fuelectenerg-3306 40 85 universitatis universitatis PROPN fuelectenerg-3306 40 86 series series NOUN fuelectenerg-3306 40 87 : : PUNCT fuelectenerg-3306 40 88 electronics electronic NOUN fuelectenerg-3306 40 89 and and CCONJ fuelectenerg-3306 40 90 energetics energetics NOUN fuelectenerg-3306 40 91 vol vol NOUN fuelectenerg-3306 40 92 . . PUNCT fuelectenerg-3306 41 1 28 28 NUM fuelectenerg-3306 41 2 , , PUNCT fuelectenerg-3306 41 3 no no DET fuelectenerg-3306 41 4 4 4 NUM fuelectenerg-3306 41 5 , , PUNCT fuelectenerg-3306 41 6 december december PROPN fuelectenerg-3306 41 7 2015 2015 NUM fuelectenerg-3306 41 8 , , PUNCT fuelectenerg-3306 41 9 pp pp ADJ fuelectenerg-3306 41 10 . . PUNCT fuelectenerg-3306 42 1 507 507 NUM fuelectenerg-3306 42 2 525 525 NUM fuelectenerg-3306 42 3 doi doi NOUN fuelectenerg-3306 42 4 : : PUNCT fuelectenerg-3306 42 5 10.2298 10.2298 NUM fuelectenerg-3306 42 6 / / SYM fuelectenerg-3306 42 7 fuee1504507s fuee1504507 VERB fuelectenerg-3306 42 8 horizontal horizontal ADJ fuelectenerg-3306 42 9 current current ADJ fuelectenerg-3306 42 10 bipolar bipolar ADJ fuelectenerg-3306 42 11 transistor transistor NOUN fuelectenerg-3306 42 12 ( ( PUNCT fuelectenerg-3306 42 13 hcbt hcbt NOUN fuelectenerg-3306 42 14 ) ) PUNCT fuelectenerg-3306 42 15 – – PUNCT fuelectenerg-3306 42 16 a a DET fuelectenerg-3306 42 17 low low ADJ fuelectenerg-3306 42 18 - - PUNCT fuelectenerg-3306 42 19 cost cost NOUN fuelectenerg-3306 42 20 , , PUNCT fuelectenerg-3306 42 21 high high ADJ fuelectenerg-3306 42 22 - - PUNCT fuelectenerg-3306 42 23 performance performance NOUN fuelectenerg-3306 42 24 flexible flexible ADJ fuelectenerg-3306 42 25 bicmos bicmos PROPN fuelectenerg-3306 42 26 technology technology PROPN fuelectenerg-3306 42 27 for for ADP fuelectenerg-3306 42 28 rf rf NOUN fuelectenerg-3306 42 29 communication communication NOUN fuelectenerg-3306 42 30 applications applications X fuelectenerg-3306 42 31 tomislav tomislav PROPN fuelectenerg-3306 42 32 suligoj1 suligoj1 PROPN fuelectenerg-3306 42 33 , , PUNCT fuelectenerg-3306 42 34 marko marko PROPN fuelectenerg-3306 42 35 koričić1 koričić1 PROPN fuelectenerg-3306 42 36 , , PUNCT fuelectenerg-3306 42 37 josip josip PROPN fuelectenerg-3306 42 38 žilak1 žilak1 PROPN fuelectenerg-3306 42 39 , , PUNCT fuelectenerg-3306 42 40 hidenori hidenori PROPN fuelectenerg-3306 42 41 mochizuki2 mochizuki2 PROPN fuelectenerg-3306 42 42 , , PUNCT fuelectenerg-3306 42 43 so so ADV fuelectenerg-3306 42 44 - - PUNCT fuelectenerg-3306 42 45 ichi ichi ADJ fuelectenerg-3306 42 46 morita2 morita2 NOUN fuelectenerg-3306 42 47 , , PUNCT fuelectenerg-3306 42 48 katsumi katsumi PROPN fuelectenerg-3306 42 49 shinomura2 shinomura2 PROPN fuelectenerg-3306 42 50 , , PUNCT fuelectenerg-3306 42 51 hisaya hisaya NOUN fuelectenerg-3306 42 52 imai2 imai2 PROPN fuelectenerg-3306 42 53 1university 1university NUM fuelectenerg-3306 42 54 of of ADP fuelectenerg-3306 42 55 zagreb zagreb PROPN fuelectenerg-3306 42 56 , , PUNCT fuelectenerg-3306 42 57 faculty faculty NOUN fuelectenerg-3306 42 58 of of ADP fuelectenerg-3306 42 59 electrical electrical ADJ fuelectenerg-3306 42 60 engineering engineering NOUN fuelectenerg-3306 42 61 and and CCONJ fuelectenerg-3306 42 62 computing computing NOUN fuelectenerg-3306 42 63 , , PUNCT fuelectenerg-3306 42 64 department department NOUN fuelectenerg-3306 42 65 of of ADP fuelectenerg-3306 42 66 electronics electronic NOUN fuelectenerg-3306 42 67 , , PUNCT fuelectenerg-3306 42 68 microand microand NOUN fuelectenerg-3306 42 69 nano nano NOUN fuelectenerg-3306 42 70 - - PUNCT fuelectenerg-3306 42 71 electronics electronic NOUN fuelectenerg-3306 42 72 laboratory laboratory NOUN fuelectenerg-3306 42 73 , , PUNCT fuelectenerg-3306 42 74 croatia croatia PROPN fuelectenerg-3306 42 75 2asahi 2asahi PROPN fuelectenerg-3306 42 76 kasei kasei PROPN fuelectenerg-3306 42 77 microdevices microdevices PROPN fuelectenerg-3306 42 78 co. co. PROPN fuelectenerg-3306 42 79 5 5 NUM fuelectenerg-3306 42 80 - - SYM fuelectenerg-3306 42 81 4960 4960 NUM fuelectenerg-3306 42 82 , , PUNCT fuelectenerg-3306 42 83 nobeoka nobeoka NOUN fuelectenerg-3306 42 84 , , PUNCT fuelectenerg-3306 42 85 miyazaki miyazaki PROPN fuelectenerg-3306 42 86 , , PUNCT fuelectenerg-3306 42 87 882 882 NUM fuelectenerg-3306 42 88 - - SYM fuelectenerg-3306 42 89 0031 0031 NUM fuelectenerg-3306 42 90 , , PUNCT fuelectenerg-3306 42 91 japan japan PROPN fuelectenerg-3306 42 92 abstract abstract PROPN fuelectenerg-3306 42 93 . . PUNCT fuelectenerg-3306 43 1 in in ADP fuelectenerg-3306 43 2 an an DET fuelectenerg-3306 43 3 overview overview NOUN fuelectenerg-3306 43 4 of of ADP fuelectenerg-3306 43 5 horizontal horizontal ADJ fuelectenerg-3306 43 6 current current ADJ fuelectenerg-3306 43 7 bipolar bipolar ADJ fuelectenerg-3306 43 8 transistor transistor NOUN fuelectenerg-3306 43 9 ( ( PUNCT fuelectenerg-3306 43 10 hcbt hcbt NOUN fuelectenerg-3306 43 11 ) ) PUNCT fuelectenerg-3306 43 12 technology technology NOUN fuelectenerg-3306 43 13 , , PUNCT fuelectenerg-3306 43 14 the the DET fuelectenerg-3306 43 15 state state NOUN fuelectenerg-3306 43 16 - - PUNCT fuelectenerg-3306 43 17 of of ADP fuelectenerg-3306 43 18 - - PUNCT fuelectenerg-3306 43 19 the the DET fuelectenerg-3306 43 20 - - PUNCT fuelectenerg-3306 43 21 art art NOUN fuelectenerg-3306 43 22 integrated integrate VERB fuelectenerg-3306 43 23 silicon silicon NOUN fuelectenerg-3306 43 24 bipolar bipolar ADJ fuelectenerg-3306 43 25 transistors transistor NOUN fuelectenerg-3306 43 26 are be AUX fuelectenerg-3306 43 27 described describe VERB fuelectenerg-3306 43 28 which which PRON fuelectenerg-3306 43 29 exhibit exhibit VERB fuelectenerg-3306 43 30 ft ft PROPN fuelectenerg-3306 43 31 and and CCONJ fuelectenerg-3306 43 32 fmax fmax PROPN fuelectenerg-3306 43 33 of of ADP fuelectenerg-3306 43 34 51 51 NUM fuelectenerg-3306 43 35 ghz ghz NOUN fuelectenerg-3306 43 36 and and CCONJ fuelectenerg-3306 43 37 61 61 NUM fuelectenerg-3306 43 38 ghz ghz NOUN fuelectenerg-3306 43 39 and and CCONJ fuelectenerg-3306 43 40 ftbvceo ftbvceo ADJ fuelectenerg-3306 43 41 product product NOUN fuelectenerg-3306 43 42 of of ADP fuelectenerg-3306 43 43 173 173 NUM fuelectenerg-3306 43 44 ghzv ghzv NOUN fuelectenerg-3306 43 45 that that PRON fuelectenerg-3306 43 46 are be AUX fuelectenerg-3306 43 47 among among ADP fuelectenerg-3306 43 48 the the DET fuelectenerg-3306 43 49 highest high ADJ fuelectenerg-3306 43 50 - - PUNCT fuelectenerg-3306 43 51 performance performance NOUN fuelectenerg-3306 43 52 implanted implant VERB fuelectenerg-3306 43 53 - - PUNCT fuelectenerg-3306 43 54 base base NOUN fuelectenerg-3306 43 55 , , PUNCT fuelectenerg-3306 43 56 silicon silicon NOUN fuelectenerg-3306 43 57 bipolar bipolar ADJ fuelectenerg-3306 43 58 transistors transistor NOUN fuelectenerg-3306 43 59 . . PUNCT fuelectenerg-3306 44 1 hbct hbct ADV fuelectenerg-3306 44 2 is be AUX fuelectenerg-3306 44 3 integrated integrate VERB fuelectenerg-3306 44 4 with with ADP fuelectenerg-3306 44 5 cmos cmos PROPN fuelectenerg-3306 44 6 in in ADP fuelectenerg-3306 44 7 a a DET fuelectenerg-3306 44 8 considerably considerably ADV fuelectenerg-3306 44 9 lower low ADJ fuelectenerg-3306 44 10 - - PUNCT fuelectenerg-3306 44 11 cost cost NOUN fuelectenerg-3306 44 12 fabrication fabrication NOUN fuelectenerg-3306 44 13 sequence sequence NOUN fuelectenerg-3306 44 14 as as ADP fuelectenerg-3306 44 15 compared compare VERB fuelectenerg-3306 44 16 to to ADP fuelectenerg-3306 44 17 standard standard ADJ fuelectenerg-3306 44 18 vertical vertical ADJ fuelectenerg-3306 44 19 - - PUNCT fuelectenerg-3306 44 20 current current ADJ fuelectenerg-3306 44 21 bipolar bipolar ADJ fuelectenerg-3306 44 22 transistors transistor NOUN fuelectenerg-3306 44 23 with with ADP fuelectenerg-3306 44 24 only only ADV fuelectenerg-3306 44 25 2 2 NUM fuelectenerg-3306 44 26 or or CCONJ fuelectenerg-3306 44 27 3 3 NUM fuelectenerg-3306 44 28 additional additional ADJ fuelectenerg-3306 44 29 masks mask NOUN fuelectenerg-3306 44 30 and and CCONJ fuelectenerg-3306 44 31 fewer few ADJ fuelectenerg-3306 44 32 process process NOUN fuelectenerg-3306 44 33 steps step NOUN fuelectenerg-3306 44 34 . . PUNCT fuelectenerg-3306 45 1 due due ADP fuelectenerg-3306 45 2 to to ADP fuelectenerg-3306 45 3 its its PRON fuelectenerg-3306 45 4 specific specific ADJ fuelectenerg-3306 45 5 structure structure NOUN fuelectenerg-3306 45 6 , , PUNCT fuelectenerg-3306 45 7 the the DET fuelectenerg-3306 45 8 charge charge NOUN fuelectenerg-3306 45 9 sharing sharing NOUN fuelectenerg-3306 45 10 effect effect NOUN fuelectenerg-3306 45 11 can can AUX fuelectenerg-3306 45 12 be be AUX fuelectenerg-3306 45 13 employed employ VERB fuelectenerg-3306 45 14 to to PART fuelectenerg-3306 45 15 increase increase VERB fuelectenerg-3306 45 16 bvceo bvceo ADV fuelectenerg-3306 45 17 without without ADP fuelectenerg-3306 45 18 sacrificing sacrifice VERB fuelectenerg-3306 45 19 ft ft X fuelectenerg-3306 45 20 and and CCONJ fuelectenerg-3306 45 21 fmax fmax PROPN fuelectenerg-3306 45 22 . . PUNCT fuelectenerg-3306 46 1 moreover moreover ADV fuelectenerg-3306 46 2 , , PUNCT fuelectenerg-3306 46 3 the the DET fuelectenerg-3306 46 4 electric electric ADJ fuelectenerg-3306 46 5 field field NOUN fuelectenerg-3306 46 6 can can AUX fuelectenerg-3306 46 7 be be AUX fuelectenerg-3306 46 8 engineered engineer VERB fuelectenerg-3306 46 9 just just ADV fuelectenerg-3306 46 10 by by ADP fuelectenerg-3306 46 11 manipulating manipulate VERB fuelectenerg-3306 46 12 the the DET fuelectenerg-3306 46 13 lithography lithography NOUN fuelectenerg-3306 46 14 masks mask NOUN fuelectenerg-3306 46 15 achieving achieve VERB fuelectenerg-3306 46 16 the the DET fuelectenerg-3306 46 17 high high ADJ fuelectenerg-3306 46 18 - - PUNCT fuelectenerg-3306 46 19 voltage voltage NOUN fuelectenerg-3306 46 20 hcbts hcbt NOUN fuelectenerg-3306 46 21 with with ADP fuelectenerg-3306 46 22 breakdowns breakdown NOUN fuelectenerg-3306 46 23 up up ADP fuelectenerg-3306 46 24 to to PART fuelectenerg-3306 46 25 36 36 NUM fuelectenerg-3306 46 26 v v NOUN fuelectenerg-3306 46 27 integrated integrate VERB fuelectenerg-3306 46 28 in in ADP fuelectenerg-3306 46 29 the the DET fuelectenerg-3306 46 30 same same ADJ fuelectenerg-3306 46 31 process process NOUN fuelectenerg-3306 46 32 flow flow NOUN fuelectenerg-3306 46 33 with with ADP fuelectenerg-3306 46 34 high high ADJ fuelectenerg-3306 46 35 - - PUNCT fuelectenerg-3306 46 36 speed speed NOUN fuelectenerg-3306 46 37 devices device NOUN fuelectenerg-3306 46 38 , , PUNCT fuelectenerg-3306 46 39 i.e. i.e. X fuelectenerg-3306 46 40 at at ADP fuelectenerg-3306 46 41 zero zero NUM fuelectenerg-3306 46 42 additional additional ADJ fuelectenerg-3306 46 43 costs cost NOUN fuelectenerg-3306 46 44 . . PUNCT fuelectenerg-3306 47 1 double double ADJ fuelectenerg-3306 47 2 - - PUNCT fuelectenerg-3306 47 3 balanced balanced ADJ fuelectenerg-3306 47 4 active active ADJ fuelectenerg-3306 47 5 mixer mixer NOUN fuelectenerg-3306 47 6 circuit circuit NOUN fuelectenerg-3306 47 7 is be AUX fuelectenerg-3306 47 8 designed design VERB fuelectenerg-3306 47 9 and and CCONJ fuelectenerg-3306 47 10 fabricated fabricate VERB fuelectenerg-3306 47 11 in in ADP fuelectenerg-3306 47 12 hcbt hcbt NOUN fuelectenerg-3306 47 13 technology technology NOUN fuelectenerg-3306 47 14 . . PUNCT fuelectenerg-3306 48 1 the the DET fuelectenerg-3306 48 2 maximum maximum ADJ fuelectenerg-3306 48 3 iip3 iip3 NOUN fuelectenerg-3306 48 4 of of ADP fuelectenerg-3306 48 5 17.7 17.7 NUM fuelectenerg-3306 48 6 dbm dbm NOUN fuelectenerg-3306 48 7 at at ADP fuelectenerg-3306 48 8 mixer mixer PROPN fuelectenerg-3306 48 9 current current ADJ fuelectenerg-3306 48 10 of of ADP fuelectenerg-3306 48 11 9.2 9.2 NUM fuelectenerg-3306 48 12 ma ma PROPN fuelectenerg-3306 48 13 and and CCONJ fuelectenerg-3306 48 14 conversion conversion NOUN fuelectenerg-3306 48 15 gain gain NOUN fuelectenerg-3306 48 16 of of ADP fuelectenerg-3306 48 17 -5 -5 INTJ fuelectenerg-3306 48 18 db db PROPN fuelectenerg-3306 48 19 are be AUX fuelectenerg-3306 48 20 achieved achieve VERB fuelectenerg-3306 48 21 . . PUNCT fuelectenerg-3306 49 1 key key ADJ fuelectenerg-3306 49 2 words word NOUN fuelectenerg-3306 49 3 : : PUNCT fuelectenerg-3306 49 4 bicmos bicmos ADJ fuelectenerg-3306 49 5 technology technology NOUN fuelectenerg-3306 49 6 , , PUNCT fuelectenerg-3306 49 7 bipolar bipolar ADJ fuelectenerg-3306 49 8 transistors transistor NOUN fuelectenerg-3306 49 9 , , PUNCT fuelectenerg-3306 49 10 horizontal horizontal ADJ fuelectenerg-3306 49 11 current current ADJ fuelectenerg-3306 49 12 bipolar bipolar ADJ fuelectenerg-3306 49 13 transistor transistor NOUN fuelectenerg-3306 49 14 , , PUNCT fuelectenerg-3306 49 15 radio radio NOUN fuelectenerg-3306 49 16 frequency frequency NOUN fuelectenerg-3306 49 17 integrated integrate VERB fuelectenerg-3306 49 18 circuits circuit NOUN fuelectenerg-3306 49 19 , , PUNCT fuelectenerg-3306 49 20 mixer mixer NOUN fuelectenerg-3306 49 21 , , PUNCT fuelectenerg-3306 49 22 high high ADJ fuelectenerg-3306 49 23 - - PUNCT fuelectenerg-3306 49 24 voltage voltage NOUN fuelectenerg-3306 49 25 bipolar bipolar ADJ fuelectenerg-3306 49 26 transistors transistor NOUN fuelectenerg-3306 49 27 . . PUNCT fuelectenerg-3306 50 1 1 1 X fuelectenerg-3306 50 2 . . X fuelectenerg-3306 50 3 introduction introduction NOUN fuelectenerg-3306 50 4 in in ADP fuelectenerg-3306 50 5 the the DET fuelectenerg-3306 50 6 highly highly ADV fuelectenerg-3306 50 7 competitive competitive ADJ fuelectenerg-3306 50 8 wireless wireless ADJ fuelectenerg-3306 50 9 communication communication NOUN fuelectenerg-3306 50 10 markets market NOUN fuelectenerg-3306 50 11 , , PUNCT fuelectenerg-3306 50 12 the the DET fuelectenerg-3306 50 13 rf rf ADJ fuelectenerg-3306 50 14 circuits circuit NOUN fuelectenerg-3306 50 15 and and CCONJ fuelectenerg-3306 50 16 systems system NOUN fuelectenerg-3306 50 17 are be AUX fuelectenerg-3306 50 18 fabricated fabricate VERB fuelectenerg-3306 50 19 in in ADP fuelectenerg-3306 50 20 the the DET fuelectenerg-3306 50 21 technologies technology NOUN fuelectenerg-3306 50 22 that that PRON fuelectenerg-3306 50 23 are be AUX fuelectenerg-3306 50 24 very very ADV fuelectenerg-3306 50 25 cost cost NOUN fuelectenerg-3306 50 26 - - PUNCT fuelectenerg-3306 50 27 sensitive sensitive ADJ fuelectenerg-3306 50 28 . . PUNCT fuelectenerg-3306 51 1 in in ADP fuelectenerg-3306 51 2 order order NOUN fuelectenerg-3306 51 3 to to PART fuelectenerg-3306 51 4 minimize minimize VERB fuelectenerg-3306 51 5 the the DET fuelectenerg-3306 51 6 fabrication fabrication NOUN fuelectenerg-3306 51 7 costs cost NOUN fuelectenerg-3306 51 8 , , PUNCT fuelectenerg-3306 51 9 the the DET fuelectenerg-3306 51 10 sub-10 sub-10 NUM fuelectenerg-3306 51 11 ghz ghz NOUN fuelectenerg-3306 51 12 applications application NOUN fuelectenerg-3306 51 13 can can AUX fuelectenerg-3306 51 14 be be AUX fuelectenerg-3306 51 15 processed process VERB fuelectenerg-3306 51 16 by by ADP fuelectenerg-3306 51 17 using use VERB fuelectenerg-3306 51 18 the the DET fuelectenerg-3306 51 19 high high ADJ fuelectenerg-3306 51 20 - - PUNCT fuelectenerg-3306 51 21 volume volume NOUN fuelectenerg-3306 51 22 silicon silicon NOUN fuelectenerg-3306 51 23 technologies technology NOUN fuelectenerg-3306 51 24 . . PUNCT fuelectenerg-3306 52 1 it it PRON fuelectenerg-3306 52 2 has have AUX fuelectenerg-3306 52 3 been be AUX fuelectenerg-3306 52 4 identified identify VERB fuelectenerg-3306 52 5 that that SCONJ fuelectenerg-3306 52 6 the the DET fuelectenerg-3306 52 7 optimum optimum ADJ fuelectenerg-3306 52 8 solution solution NOUN fuelectenerg-3306 52 9 might might AUX fuelectenerg-3306 52 10 received receive VERB fuelectenerg-3306 52 11 march march PROPN fuelectenerg-3306 52 12 9 9 NUM fuelectenerg-3306 52 13 , , PUNCT fuelectenerg-3306 52 14 2015 2015 NUM fuelectenerg-3306 52 15 corresponding correspond VERB fuelectenerg-3306 52 16 author author NOUN fuelectenerg-3306 52 17 : : PUNCT fuelectenerg-3306 52 18 tomislav tomislav PROPN fuelectenerg-3306 52 19 suligoj suligoj PROPN fuelectenerg-3306 52 20 university university PROPN fuelectenerg-3306 52 21 of of ADP fuelectenerg-3306 52 22 zagreb zagreb PROPN fuelectenerg-3306 52 23 , , PUNCT fuelectenerg-3306 52 24 faculty faculty NOUN fuelectenerg-3306 52 25 of of ADP fuelectenerg-3306 52 26 electrical electrical ADJ fuelectenerg-3306 52 27 engineering engineering NOUN fuelectenerg-3306 52 28 and and CCONJ fuelectenerg-3306 52 29 computing computing NOUN fuelectenerg-3306 52 30 , , PUNCT fuelectenerg-3306 52 31 department department NOUN fuelectenerg-3306 52 32 of of ADP fuelectenerg-3306 52 33 electronics electronic NOUN fuelectenerg-3306 52 34 , , PUNCT fuelectenerg-3306 52 35 microand microand NOUN fuelectenerg-3306 52 36 nano nano NOUN fuelectenerg-3306 52 37 - - PUNCT fuelectenerg-3306 52 38 electronics electronic NOUN fuelectenerg-3306 52 39 laboratory laboratory NOUN fuelectenerg-3306 52 40 , , PUNCT fuelectenerg-3306 52 41 croatia croatia PROPN fuelectenerg-3306 52 42 ( ( PUNCT fuelectenerg-3306 52 43 e e NOUN fuelectenerg-3306 52 44 - - NOUN fuelectenerg-3306 52 45 mail mail NOUN fuelectenerg-3306 52 46 : : PUNCT fuelectenerg-3306 52 47 tom@zemris.fer.hr tom@zemris.fer.hr X fuelectenerg-3306 52 48 ) ) PUNCT fuelectenerg-3306 52 49 construction construction NOUN fuelectenerg-3306 52 50 of of ADP fuelectenerg-3306 52 51 subsets subset NOUN fuelectenerg-3306 52 52 of of ADP fuelectenerg-3306 52 53 bent bent ADJ fuelectenerg-3306 52 54 functions function NOUN fuelectenerg-3306 52 55 satisfying satisfy VERB fuelectenerg-3306 52 56 restrictions restriction NOUN fuelectenerg-3306 52 57 in in ADP fuelectenerg-3306 52 58 the the DET fuelectenerg-3306 52 59 reed reed NOUN fuelectenerg-3306 52 60 - - PUNCT fuelectenerg-3306 52 61 muller muller NOUN fuelectenerg-3306 52 62 domain domain NOUN fuelectenerg-3306 52 63 * * PUNCT fuelectenerg-3306 52 64 faculty faculty NOUN fuelectenerg-3306 52 65 of of ADP fuelectenerg-3306 52 66 electronic electronic ADJ fuelectenerg-3306 52 67 engineering engineering NOUN fuelectenerg-3306 52 68 , , PUNCT fuelectenerg-3306 52 69 university university NOUN fuelectenerg-3306 52 70 of of ADP fuelectenerg-3306 52 71 niš niš PROPN fuelectenerg-3306 52 72 , , PUNCT fuelectenerg-3306 52 73 niš niš NOUN fuelectenerg-3306 52 74 , , PUNCT fuelectenerg-3306 52 75 serbia serbia PROPN fuelectenerg-3306 52 76 abstract abstract ADJ fuelectenerg-3306 52 77 . . PUNCT fuelectenerg-3306 53 1 bent bent ADJ fuelectenerg-3306 53 2 functions function NOUN fuelectenerg-3306 53 3 are be AUX fuelectenerg-3306 53 4 boolean boolean ADJ fuelectenerg-3306 53 5 functions function NOUN fuelectenerg-3306 53 6 with with ADP fuelectenerg-3306 53 7 highest high ADJ fuelectenerg-3306 53 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 53 9 which which PRON fuelectenerg-3306 53 10 makes make VERB fuelectenerg-3306 53 11 them they PRON fuelectenerg-3306 53 12 interesting interesting ADJ fuelectenerg-3306 53 13 for for ADP fuelectenerg-3306 53 14 cryptography cryptography NOUN fuelectenerg-3306 53 15 . . PUNCT fuelectenerg-3306 54 1 determination determination NOUN fuelectenerg-3306 54 2 of of ADP fuelectenerg-3306 54 3 bent bent ADJ fuelectenerg-3306 54 4 functions function NOUN fuelectenerg-3306 54 5 is be AUX fuelectenerg-3306 54 6 an an DET fuelectenerg-3306 54 7 importantbut importantbut CCONJ fuelectenerg-3306 54 8 hard hard ADJ fuelectenerg-3306 54 9 problem problem NOUN fuelectenerg-3306 54 10 , , PUNCT fuelectenerg-3306 54 11 since since SCONJ fuelectenerg-3306 54 12 the the DET fuelectenerg-3306 54 13 general general ADJ fuelectenerg-3306 54 14 structure structure NOUN fuelectenerg-3306 54 15 of of ADP fuelectenerg-3306 54 16 bent bent ADJ fuelectenerg-3306 54 17 functions function NOUN fuelectenerg-3306 54 18 is be AUX fuelectenerg-3306 54 19 still still ADV fuelectenerg-3306 54 20 unknown unknown ADJ fuelectenerg-3306 54 21 . . PUNCT fuelectenerg-3306 55 1 various various ADJ fuelectenerg-3306 55 2 constructions construction NOUN fuelectenerg-3306 55 3 methods method NOUN fuelectenerg-3306 55 4 for for ADP fuelectenerg-3306 55 5 bent bent ADJ fuelectenerg-3306 55 6 functions function NOUN fuelectenerg-3306 55 7 are be AUX fuelectenerg-3306 55 8 based base VERB fuelectenerg-3306 55 9 on on ADP fuelectenerg-3306 55 10 certain certain ADJ fuelectenerg-3306 55 11 deterministic deterministic ADJ fuelectenerg-3306 55 12 procedures procedure NOUN fuelectenerg-3306 55 13 , , PUNCT fuelectenerg-3306 55 14 which which PRON fuelectenerg-3306 55 15 might might AUX fuelectenerg-3306 55 16 result result VERB fuelectenerg-3306 55 17 in in ADP fuelectenerg-3306 55 18 some some DET fuelectenerg-3306 55 19 regularitythat regularitythat PRON fuelectenerg-3306 55 20 is be AUX fuelectenerg-3306 55 21 a a DET fuelectenerg-3306 55 22 feature feature NOUN fuelectenerg-3306 55 23 undesired undesired ADJ fuelectenerg-3306 55 24 for for ADP fuelectenerg-3306 55 25 applications application NOUN fuelectenerg-3306 55 26 in in ADP fuelectenerg-3306 55 27 cryptography cryptography NOUN fuelectenerg-3306 55 28 . . PUNCT fuelectenerg-3306 56 1 random random ADJ fuelectenerg-3306 56 2 generation generation NOUN fuelectenerg-3306 56 3 of of ADP fuelectenerg-3306 56 4 bent bent ADJ fuelectenerg-3306 56 5 functions function NOUN fuelectenerg-3306 56 6 is be AUX fuelectenerg-3306 56 7 an an DET fuelectenerg-3306 56 8 alternative alternative NOUN fuelectenerg-3306 56 9 , , PUNCT fuelectenerg-3306 56 10 however however ADV fuelectenerg-3306 56 11 , , PUNCT fuelectenerg-3306 56 12 the the DET fuelectenerg-3306 56 13 search search NOUN fuelectenerg-3306 56 14 space space NOUN fuelectenerg-3306 56 15 is be AUX fuelectenerg-3306 56 16 very very ADV fuelectenerg-3306 56 17 large large ADJ fuelectenerg-3306 56 18 and and CCONJ fuelectenerg-3306 56 19 the the DET fuelectenerg-3306 56 20 related relate VERB fuelectenerg-3306 56 21 procedures procedure NOUN fuelectenerg-3306 56 22 are be AUX fuelectenerg-3306 56 23 time time NOUN fuelectenerg-3306 56 24 consuming consume VERB fuelectenerg-3306 56 25 . . PUNCT fuelectenerg-3306 57 1 a a DET fuelectenerg-3306 57 2 solution solution NOUN fuelectenerg-3306 57 3 is be AUX fuelectenerg-3306 57 4 to to PART fuelectenerg-3306 57 5 restrict restrict VERB fuelectenerg-3306 57 6 the the DET fuelectenerg-3306 57 7 search search NOUN fuelectenerg-3306 57 8 space space NOUN fuelectenerg-3306 57 9 by by ADP fuelectenerg-3306 57 10 imposing impose VERB fuelectenerg-3306 57 11 some some DET fuelectenerg-3306 57 12 conditions condition NOUN fuelectenerg-3306 57 13 that that PRON fuelectenerg-3306 57 14 should should AUX fuelectenerg-3306 57 15 be be AUX fuelectenerg-3306 57 16 satisfied satisfied ADJ fuelectenerg-3306 57 17 by by ADP fuelectenerg-3306 57 18 the the DET fuelectenerg-3306 57 19 produced produce VERB fuelectenerg-3306 57 20 bent bent ADJ fuelectenerg-3306 57 21 functions function NOUN fuelectenerg-3306 57 22 . . PUNCT fuelectenerg-3306 58 1 in in ADP fuelectenerg-3306 58 2 this this DET fuelectenerg-3306 58 3 paper paper NOUN fuelectenerg-3306 58 4 , , PUNCT fuelectenerg-3306 58 5 we we PRON fuelectenerg-3306 58 6 propose propose VERB fuelectenerg-3306 58 7 three three NUM fuelectenerg-3306 58 8 ways way NOUN fuelectenerg-3306 58 9 of of ADP fuelectenerg-3306 58 10 imposing impose VERB fuelectenerg-3306 58 11 such such ADJ fuelectenerg-3306 58 12 restrictions restriction NOUN fuelectenerg-3306 58 13 to to PART fuelectenerg-3306 58 14 construct construct VERB fuelectenerg-3306 58 15 subsets subset NOUN fuelectenerg-3306 58 16 of of ADP fuelectenerg-3306 58 17 boolean boolean ADJ fuelectenerg-3306 58 18 functions function NOUN fuelectenerg-3306 58 19 within within ADP fuelectenerg-3306 58 20 which which PRON fuelectenerg-3306 58 21 the the DET fuelectenerg-3306 58 22 bent bent ADJ fuelectenerg-3306 58 23 functions function NOUN fuelectenerg-3306 58 24 are be AUX fuelectenerg-3306 58 25 searched search VERB fuelectenerg-3306 58 26 . . PUNCT fuelectenerg-3306 59 1 we we PRON fuelectenerg-3306 59 2 estimate estimate VERB fuelectenerg-3306 59 3 experimentally experimentally ADV fuelectenerg-3306 59 4 the the DET fuelectenerg-3306 59 5 number number NOUN fuelectenerg-3306 59 6 of of ADP fuelectenerg-3306 59 7 bent bent ADJ fuelectenerg-3306 59 8 functions function NOUN fuelectenerg-3306 59 9 in in ADP fuelectenerg-3306 59 10 the the DET fuelectenerg-3306 59 11 corresponding corresponding ADJ fuelectenerg-3306 59 12 subsets subset NOUN fuelectenerg-3306 59 13 of of ADP fuelectenerg-3306 59 14 boolean boolean ADJ fuelectenerg-3306 59 15 functions function NOUN fuelectenerg-3306 59 16 . . PUNCT fuelectenerg-3306 60 1 key key ADJ fuelectenerg-3306 60 2 words word NOUN fuelectenerg-3306 60 3 : : PUNCT fuelectenerg-3306 60 4 cryptography cryptography NOUN fuelectenerg-3306 60 5 , , PUNCT fuelectenerg-3306 60 6 boolean boolean ADJ fuelectenerg-3306 60 7 functions function NOUN fuelectenerg-3306 60 8 , , PUNCT fuelectenerg-3306 60 9 bent bent ADJ fuelectenerg-3306 60 10 , , PUNCT fuelectenerg-3306 60 11 reed reed NOUN fuelectenerg-3306 60 12 - - PUNCT fuelectenerg-3306 60 13 muller muller NOUN fuelectenerg-3306 60 14 domain domain NOUN fuelectenerg-3306 60 15 , , PUNCT fuelectenerg-3306 60 16 subsets subset NOUN fuelectenerg-3306 60 17 . . PUNCT fuelectenerg-3306 61 1 2 2 NUM fuelectenerg-3306 61 2 m. m. NOUN fuelectenerg-3306 61 3 radmanović radmanović PROPN fuelectenerg-3306 61 4 and and CCONJ fuelectenerg-3306 61 5 r. r. PROPN fuelectenerg-3306 61 6 stanković stanković PROPN fuelectenerg-3306 61 7 functions function NOUN fuelectenerg-3306 61 8 . . PUNCT fuelectenerg-3306 62 1 due due ADP fuelectenerg-3306 62 2 to to ADP fuelectenerg-3306 62 3 that that DET fuelectenerg-3306 62 4 property property NOUN fuelectenerg-3306 62 5 , , PUNCT fuelectenerg-3306 62 6 bent bent ADJ fuelectenerg-3306 62 7 functions function NOUN fuelectenerg-3306 62 8 are be AUX fuelectenerg-3306 62 9 useful useful ADJ fuelectenerg-3306 62 10 for for ADP fuelectenerg-3306 62 11 cryptographic cryptographic ADJ fuelectenerg-3306 62 12 purposes purpose NOUN fuelectenerg-3306 62 13 , , PUNCT fuelectenerg-3306 62 14 such such ADJ fuelectenerg-3306 62 15 as as ADP fuelectenerg-3306 62 16 block block NOUN fuelectenerg-3306 62 17 ciphers cipher NOUN fuelectenerg-3306 62 18 , , PUNCT fuelectenerg-3306 62 19 stream stream NOUN fuelectenerg-3306 62 20 ciphers cipher NOUN fuelectenerg-3306 62 21 , , PUNCT fuelectenerg-3306 62 22 and and CCONJ fuelectenerg-3306 62 23 hash hash NOUN fuelectenerg-3306 62 24 functions function NOUN fuelectenerg-3306 62 25 in in ADP fuelectenerg-3306 62 26 many many ADJ fuelectenerg-3306 62 27 areas area NOUN fuelectenerg-3306 62 28 [ [ X fuelectenerg-3306 62 29 1 1 NUM fuelectenerg-3306 62 30 ] ] PUNCT fuelectenerg-3306 62 31 , , PUNCT fuelectenerg-3306 62 32 [ [ X fuelectenerg-3306 62 33 2 2 NUM fuelectenerg-3306 62 34 ] ] PUNCT fuelectenerg-3306 62 35 . . PUNCT fuelectenerg-3306 63 1 they they PRON fuelectenerg-3306 63 2 have have AUX fuelectenerg-3306 63 3 been be AUX fuelectenerg-3306 63 4 attracted attract VERB fuelectenerg-3306 63 5 a a DET fuelectenerg-3306 63 6 lot lot NOUN fuelectenerg-3306 63 7 of of ADP fuelectenerg-3306 63 8 attention attention NOUN fuelectenerg-3306 63 9 in in ADP fuelectenerg-3306 63 10 cryptography cryptography NOUN fuelectenerg-3306 63 11 , , PUNCT fuelectenerg-3306 63 12 but but CCONJ fuelectenerg-3306 63 13 have have AUX fuelectenerg-3306 63 14 also also ADV fuelectenerg-3306 63 15 studied study VERB fuelectenerg-3306 63 16 in in ADP fuelectenerg-3306 63 17 many many ADJ fuelectenerg-3306 63 18 other other ADJ fuelectenerg-3306 63 19 areas area NOUN fuelectenerg-3306 63 20 such such ADJ fuelectenerg-3306 63 21 as as ADP fuelectenerg-3306 63 22 combinatorics combinatoric NOUN fuelectenerg-3306 63 23 , , PUNCT fuelectenerg-3306 63 24 coding code VERB fuelectenerg-3306 63 25 theory theory NOUN fuelectenerg-3306 63 26 , , PUNCT fuelectenerg-3306 63 27 logic logic NOUN fuelectenerg-3306 63 28 synthesis synthesis NOUN fuelectenerg-3306 63 29 , , PUNCT fuelectenerg-3306 63 30 and and CCONJ fuelectenerg-3306 63 31 signal signal VERB fuelectenerg-3306 63 32 processing processing NOUN fuelectenerg-3306 63 33 [ [ X fuelectenerg-3306 63 34 3 3 NUM fuelectenerg-3306 63 35 ] ] PUNCT fuelectenerg-3306 63 36 , , PUNCT fuelectenerg-3306 63 37 [ [ X fuelectenerg-3306 63 38 4 4 NUM fuelectenerg-3306 63 39 ] ] PUNCT fuelectenerg-3306 63 40 . . PUNCT fuelectenerg-3306 64 1 the the DET fuelectenerg-3306 64 2 problem problem NOUN fuelectenerg-3306 64 3 is be AUX fuelectenerg-3306 64 4 that that SCONJ fuelectenerg-3306 64 5 they they PRON fuelectenerg-3306 64 6 are be AUX fuelectenerg-3306 64 7 not not PART fuelectenerg-3306 64 8 balanced balanced ADJ fuelectenerg-3306 64 9 . . PUNCT fuelectenerg-3306 65 1 therefore therefore ADV fuelectenerg-3306 65 2 , , PUNCT fuelectenerg-3306 65 3 constructing construct VERB fuelectenerg-3306 65 4 bent bent ADJ fuelectenerg-3306 65 5 functions function NOUN fuelectenerg-3306 65 6 followed follow VERB fuelectenerg-3306 65 7 by by ADP fuelectenerg-3306 65 8 a a DET fuelectenerg-3306 65 9 procedure procedure NOUN fuelectenerg-3306 65 10 to to PART fuelectenerg-3306 65 11 make make VERB fuelectenerg-3306 65 12 them they PRON fuelectenerg-3306 65 13 balanced balanced ADJ fuelectenerg-3306 65 14 is be AUX fuelectenerg-3306 65 15 in in ADP fuelectenerg-3306 65 16 foundations foundation NOUN fuelectenerg-3306 65 17 of of ADP fuelectenerg-3306 65 18 many many ADJ fuelectenerg-3306 65 19 cryptographic cryptographic ADJ fuelectenerg-3306 65 20 procedures procedure NOUN fuelectenerg-3306 65 21 . . PUNCT fuelectenerg-3306 66 1 there there PRON fuelectenerg-3306 66 2 are be VERB fuelectenerg-3306 66 3 many many ADJ fuelectenerg-3306 66 4 procedures procedure NOUN fuelectenerg-3306 66 5 to to PART fuelectenerg-3306 66 6 construct construct VERB fuelectenerg-3306 66 7 bent bent ADJ fuelectenerg-3306 66 8 functions function NOUN fuelectenerg-3306 66 9 , , PUNCT fuelectenerg-3306 66 10 but but CCONJ fuelectenerg-3306 66 11 most most ADJ fuelectenerg-3306 66 12 of of ADP fuelectenerg-3306 66 13 them they PRON fuelectenerg-3306 66 14 are be AUX fuelectenerg-3306 66 15 exhaustive exhaustive ADJ fuelectenerg-3306 66 16 in in ADP fuelectenerg-3306 66 17 the the DET fuelectenerg-3306 66 18 sense sense NOUN fuelectenerg-3306 66 19 that that PRON fuelectenerg-3306 66 20 can can AUX fuelectenerg-3306 66 21 produce produce VERB fuelectenerg-3306 66 22 all all DET fuelectenerg-3306 66 23 bent bent ADJ fuelectenerg-3306 66 24 functions function NOUN fuelectenerg-3306 66 25 for for ADP fuelectenerg-3306 66 26 a a DET fuelectenerg-3306 66 27 given give VERB fuelectenerg-3306 66 28 n. n. NOUN fuelectenerg-3306 66 29 another another DET fuelectenerg-3306 66 30 problem problem NOUN fuelectenerg-3306 66 31 is be AUX fuelectenerg-3306 66 32 that that SCONJ fuelectenerg-3306 66 33 being be AUX fuelectenerg-3306 66 34 based base VERB fuelectenerg-3306 66 35 on on ADP fuelectenerg-3306 66 36 some some DET fuelectenerg-3306 66 37 deterministic deterministic ADJ fuelectenerg-3306 66 38 procedures procedure NOUN fuelectenerg-3306 66 39 , , PUNCT fuelectenerg-3306 66 40 there there PRON fuelectenerg-3306 66 41 is be VERB fuelectenerg-3306 66 42 a a DET fuelectenerg-3306 66 43 no no DET fuelectenerg-3306 66 44 negligible negligible ADJ fuelectenerg-3306 66 45 possibility possibility NOUN fuelectenerg-3306 66 46 that that SCONJ fuelectenerg-3306 66 47 the the DET fuelectenerg-3306 66 48 produced produce VERB fuelectenerg-3306 66 49 bent bent ADJ fuelectenerg-3306 66 50 function function NOUN fuelectenerg-3306 66 51 might might AUX fuelectenerg-3306 66 52 express express VERB fuelectenerg-3306 66 53 some some DET fuelectenerg-3306 66 54 degree degree NOUN fuelectenerg-3306 66 55 of of ADP fuelectenerg-3306 66 56 regularity regularity NOUN fuelectenerg-3306 66 57 . . PUNCT fuelectenerg-3306 67 1 random random ADJ fuelectenerg-3306 67 2 generation generation NOUN fuelectenerg-3306 67 3 of of ADP fuelectenerg-3306 67 4 bent bent ADJ fuelectenerg-3306 67 5 functions function NOUN fuelectenerg-3306 67 6 is be AUX fuelectenerg-3306 67 7 often often ADV fuelectenerg-3306 67 8 used use VERB fuelectenerg-3306 67 9 as as ADP fuelectenerg-3306 67 10 an an DET fuelectenerg-3306 67 11 alternative alternative NOUN fuelectenerg-3306 67 12 . . PUNCT fuelectenerg-3306 68 1 the the DET fuelectenerg-3306 68 2 problem problem NOUN fuelectenerg-3306 68 3 is be AUX fuelectenerg-3306 68 4 however however ADV fuelectenerg-3306 68 5 that that SCONJ fuelectenerg-3306 68 6 the the DET fuelectenerg-3306 68 7 number number NOUN fuelectenerg-3306 68 8 of of ADP fuelectenerg-3306 68 9 bent bent ADJ fuelectenerg-3306 68 10 functions function NOUN fuelectenerg-3306 68 11 is be AUX fuelectenerg-3306 68 12 very very ADV fuelectenerg-3306 68 13 small small ADJ fuelectenerg-3306 68 14 compared compare VERB fuelectenerg-3306 68 15 to to ADP fuelectenerg-3306 68 16 the the DET fuelectenerg-3306 68 17 total total ADJ fuelectenerg-3306 68 18 number number NOUN fuelectenerg-3306 68 19 of of ADP fuelectenerg-3306 68 20 22n 22n NOUN fuelectenerg-3306 68 21 boolean boolean ADJ fuelectenerg-3306 68 22 functions function NOUN fuelectenerg-3306 68 23 . . PUNCT fuelectenerg-3306 69 1 expressed express VERB fuelectenerg-3306 69 2 in in ADP fuelectenerg-3306 69 3 percentages percentage NOUN fuelectenerg-3306 69 4 , , PUNCT fuelectenerg-3306 69 5 it it PRON fuelectenerg-3306 69 6 is be AUX fuelectenerg-3306 69 7 1 1 NUM fuelectenerg-3306 69 8 , , PUNCT fuelectenerg-3306 69 9 36 36 NUM fuelectenerg-3306 69 10 % % NOUN fuelectenerg-3306 69 11 , , PUNCT fuelectenerg-3306 69 12 2 2 NUM fuelectenerg-3306 69 13 , , PUNCT fuelectenerg-3306 69 14 94×10−8 94×10−8 NUM fuelectenerg-3306 69 15 % % NOUN fuelectenerg-3306 69 16 , , PUNCT fuelectenerg-3306 69 17 and and CCONJ fuelectenerg-3306 69 18 8 8 NUM fuelectenerg-3306 69 19 , , PUNCT fuelectenerg-3306 69 20 57×10−44 57×10−44 NOUN fuelectenerg-3306 69 21 % % NOUN fuelectenerg-3306 69 22 for for ADP fuelectenerg-3306 69 23 n n NOUN fuelectenerg-3306 69 24 = = SYM fuelectenerg-3306 69 25 4 4 NUM fuelectenerg-3306 69 26 , , PUNCT fuelectenerg-3306 69 27 6 6 NUM fuelectenerg-3306 69 28 , , PUNCT fuelectenerg-3306 69 29 8 8 NUM fuelectenerg-3306 69 30 , , PUNCT fuelectenerg-3306 69 31 out out ADP fuelectenerg-3306 69 32 of of ADP fuelectenerg-3306 69 33 65.536 65.536 NUM fuelectenerg-3306 69 34 , , PUNCT fuelectenerg-3306 69 35 18.446.744.073.709.551.616 18.446.744.073.709.551.616 NUM fuelectenerg-3306 69 36 , , PUNCT fuelectenerg-3306 69 37 and and CCONJ fuelectenerg-3306 69 38 1 1 NUM fuelectenerg-3306 69 39 , , PUNCT fuelectenerg-3306 69 40 1579208923731619542357098500869 1579208923731619542357098500869 NUM fuelectenerg-3306 69 41 × × NOUN fuelectenerg-3306 69 42 10 10 NUM fuelectenerg-3306 69 43 + + NOUN fuelectenerg-3306 69 44 77 77 NUM fuelectenerg-3306 69 45 functions function NOUN fuelectenerg-3306 69 46 . . PUNCT fuelectenerg-3306 70 1 therefore therefore ADV fuelectenerg-3306 70 2 , , PUNCT fuelectenerg-3306 70 3 random random ADJ fuelectenerg-3306 70 4 finding finding NOUN fuelectenerg-3306 70 5 of of ADP fuelectenerg-3306 70 6 bent bent ADJ fuelectenerg-3306 70 7 functions function NOUN fuelectenerg-3306 70 8 necessarily necessarily ADV fuelectenerg-3306 70 9 requires require VERB fuelectenerg-3306 70 10 reduction reduction NOUN fuelectenerg-3306 70 11 of of ADP fuelectenerg-3306 70 12 the the DET fuelectenerg-3306 70 13 search search NOUN fuelectenerg-3306 70 14 space space NOUN fuelectenerg-3306 70 15 by by ADP fuelectenerg-3306 70 16 using use VERB fuelectenerg-3306 70 17 properties property NOUN fuelectenerg-3306 70 18 of of ADP fuelectenerg-3306 70 19 bent bent ADJ fuelectenerg-3306 70 20 functions function NOUN fuelectenerg-3306 70 21 . . PUNCT fuelectenerg-3306 71 1 in in ADP fuelectenerg-3306 71 2 this this DET fuelectenerg-3306 71 3 paper paper NOUN fuelectenerg-3306 71 4 , , PUNCT fuelectenerg-3306 71 5 we we PRON fuelectenerg-3306 71 6 explore explore VERB fuelectenerg-3306 71 7 how how SCONJ fuelectenerg-3306 71 8 large large ADJ fuelectenerg-3306 71 9 is be AUX fuelectenerg-3306 71 10 the the DET fuelectenerg-3306 71 11 number number NOUN fuelectenerg-3306 71 12 of of ADP fuelectenerg-3306 71 13 bent bent ADJ fuelectenerg-3306 71 14 functions function NOUN fuelectenerg-3306 71 15 in in ADP fuelectenerg-3306 71 16 certain certain ADJ fuelectenerg-3306 71 17 restricted restricted ADJ fuelectenerg-3306 71 18 subsets subset NOUN fuelectenerg-3306 71 19 of of ADP fuelectenerg-3306 71 20 boolean boolean ADJ fuelectenerg-3306 71 21 functions function NOUN fuelectenerg-3306 71 22 with with ADP fuelectenerg-3306 71 23 restrictions restriction NOUN fuelectenerg-3306 71 24 derived derive VERB fuelectenerg-3306 71 25 from from ADP fuelectenerg-3306 71 26 properties property NOUN fuelectenerg-3306 71 27 of of ADP fuelectenerg-3306 71 28 bent bent ADJ fuelectenerg-3306 71 29 functions function NOUN fuelectenerg-3306 71 30 . . PUNCT fuelectenerg-3306 72 1 the the DET fuelectenerg-3306 72 2 aim aim NOUN fuelectenerg-3306 72 3 is be AUX fuelectenerg-3306 72 4 to to PART fuelectenerg-3306 72 5 provide provide VERB fuelectenerg-3306 72 6 specifications specification NOUN fuelectenerg-3306 72 7 how how SCONJ fuelectenerg-3306 72 8 to to PART fuelectenerg-3306 72 9 restrict restrict VERB fuelectenerg-3306 72 10 the the DET fuelectenerg-3306 72 11 search search NOUN fuelectenerg-3306 72 12 space space NOUN fuelectenerg-3306 72 13 for for ADP fuelectenerg-3306 72 14 bent bent ADJ fuelectenerg-3306 72 15 functions function NOUN fuelectenerg-3306 72 16 according accord VERB fuelectenerg-3306 72 17 to to ADP fuelectenerg-3306 72 18 the the DET fuelectenerg-3306 72 19 probability probability NOUN fuelectenerg-3306 72 20 of of ADP fuelectenerg-3306 72 21 finding find VERB fuelectenerg-3306 72 22 them they PRON fuelectenerg-3306 72 23 in in ADP fuelectenerg-3306 72 24 predefined predefine VERB fuelectenerg-3306 72 25 subsets subset NOUN fuelectenerg-3306 72 26 of of ADP fuelectenerg-3306 72 27 boolean boolean ADJ fuelectenerg-3306 72 28 functions function NOUN fuelectenerg-3306 72 29 . . PUNCT fuelectenerg-3306 73 1 the the DET fuelectenerg-3306 73 2 restrictions restriction NOUN fuelectenerg-3306 73 3 are be AUX fuelectenerg-3306 73 4 formulated formulate VERB fuelectenerg-3306 73 5 in in ADP fuelectenerg-3306 73 6 the the DET fuelectenerg-3306 73 7 reed reed NOUN fuelectenerg-3306 73 8 - - PUNCT fuelectenerg-3306 73 9 muller muller NOUN fuelectenerg-3306 73 10 ( ( PUNCT fuelectenerg-3306 73 11 rm rm PROPN fuelectenerg-3306 73 12 ) ) PUNCT fuelectenerg-3306 73 13 domain domain NOUN fuelectenerg-3306 73 14 [ [ X fuelectenerg-3306 73 15 5 5 NUM fuelectenerg-3306 73 16 ] ] PUNCT fuelectenerg-3306 73 17 . . PUNCT fuelectenerg-3306 74 1 this this DET fuelectenerg-3306 74 2 paper paper NOUN fuelectenerg-3306 74 3 is be AUX fuelectenerg-3306 74 4 organized organize VERB fuelectenerg-3306 74 5 as as SCONJ fuelectenerg-3306 74 6 follows follow VERB fuelectenerg-3306 74 7 : : PUNCT fuelectenerg-3306 74 8 section section NOUN fuelectenerg-3306 74 9 2 2 NUM fuelectenerg-3306 74 10 shortly shortly ADV fuelectenerg-3306 74 11 introduces introduce VERB fuelectenerg-3306 74 12 the the DET fuelectenerg-3306 74 13 theoretical theoretical ADJ fuelectenerg-3306 74 14 background background NOUN fuelectenerg-3306 74 15 and and CCONJ fuelectenerg-3306 74 16 necessary necessary ADJ fuelectenerg-3306 74 17 concepts concept NOUN fuelectenerg-3306 74 18 to to PART fuelectenerg-3306 74 19 be be AUX fuelectenerg-3306 74 20 discussed discuss VERB fuelectenerg-3306 74 21 . . PUNCT fuelectenerg-3306 75 1 in in ADP fuelectenerg-3306 75 2 section section NOUN fuelectenerg-3306 75 3 3 3 NUM fuelectenerg-3306 75 4 , , PUNCT fuelectenerg-3306 75 5 three three NUM fuelectenerg-3306 75 6 approaches approach NOUN fuelectenerg-3306 75 7 to to ADP fuelectenerg-3306 75 8 the the DET fuelectenerg-3306 75 9 restriction restriction NOUN fuelectenerg-3306 75 10 of of ADP fuelectenerg-3306 75 11 the the DET fuelectenerg-3306 75 12 search search NOUN fuelectenerg-3306 75 13 space space NOUN fuelectenerg-3306 75 14 in in ADP fuelectenerg-3306 75 15 finding find VERB fuelectenerg-3306 75 16 bent bent ADJ fuelectenerg-3306 75 17 functions function NOUN fuelectenerg-3306 75 18 in in ADP fuelectenerg-3306 75 19 rm rm NOUN fuelectenerg-3306 75 20 domain domain NOUN fuelectenerg-3306 75 21 are be AUX fuelectenerg-3306 75 22 presented present VERB fuelectenerg-3306 75 23 . . PUNCT fuelectenerg-3306 76 1 the the DET fuelectenerg-3306 76 2 experimental experimental ADJ fuelectenerg-3306 76 3 results result NOUN fuelectenerg-3306 76 4 are be AUX fuelectenerg-3306 76 5 shown show VERB fuelectenerg-3306 76 6 and and CCONJ fuelectenerg-3306 76 7 discussed discuss VERB fuelectenerg-3306 76 8 in in ADP fuelectenerg-3306 76 9 section section NOUN fuelectenerg-3306 76 10 4 4 NUM fuelectenerg-3306 76 11 . . PUNCT fuelectenerg-3306 77 1 the the DET fuelectenerg-3306 77 2 closing closing NOUN fuelectenerg-3306 77 3 section section NOUN fuelectenerg-3306 77 4 5 5 NUM fuelectenerg-3306 77 5 summarizes summarize VERB fuelectenerg-3306 77 6 the the DET fuelectenerg-3306 77 7 results result NOUN fuelectenerg-3306 77 8 of of ADP fuelectenerg-3306 77 9 the the DET fuelectenerg-3306 77 10 research research NOUN fuelectenerg-3306 77 11 reported report VERB fuelectenerg-3306 77 12 in in ADP fuelectenerg-3306 77 13 this this DET fuelectenerg-3306 77 14 paper paper NOUN fuelectenerg-3306 77 15 . . PUNCT fuelectenerg-3306 78 1 2 2 NUM fuelectenerg-3306 78 2 background background NOUN fuelectenerg-3306 78 3 theory theory NOUN fuelectenerg-3306 78 4 2.1 2.1 NUM fuelectenerg-3306 78 5 reed reed NOUN fuelectenerg-3306 78 6 - - PUNCT fuelectenerg-3306 78 7 muller muller NOUN fuelectenerg-3306 78 8 transform transform VERB fuelectenerg-3306 78 9 the the DET fuelectenerg-3306 78 10 algebraic algebraic ADJ fuelectenerg-3306 78 11 normal normal ADJ fuelectenerg-3306 78 12 form form NOUN fuelectenerg-3306 78 13 ( ( PUNCT fuelectenerg-3306 78 14 anf anf VERB fuelectenerg-3306 78 15 ) ) PUNCT fuelectenerg-3306 78 16 is be AUX fuelectenerg-3306 78 17 one one NUM fuelectenerg-3306 78 18 of of ADP fuelectenerg-3306 78 19 the the DET fuelectenerg-3306 78 20 most most ADV fuelectenerg-3306 78 21 used used ADJ fuelectenerg-3306 78 22 representations representation NOUN fuelectenerg-3306 78 23 in in ADP fuelectenerg-3306 78 24 cryptography cryptography NOUN fuelectenerg-3306 78 25 . . PUNCT fuelectenerg-3306 79 1 every every DET fuelectenerg-3306 79 2 boolean boolean ADJ fuelectenerg-3306 79 3 function function NOUN fuelectenerg-3306 79 4 has have VERB fuelectenerg-3306 79 5 a a DET fuelectenerg-3306 79 6 unique unique ADJ fuelectenerg-3306 79 7 representation representation NOUN fuelectenerg-3306 79 8 in in ADP fuelectenerg-3306 79 9 construction construction NOUN fuelectenerg-3306 79 10 of of ADP fuelectenerg-3306 79 11 subsets subset NOUN fuelectenerg-3306 79 12 of of ADP fuelectenerg-3306 79 13 bent bent ADJ fuelectenerg-3306 79 14 functions function NOUN fuelectenerg-3306 79 15 satisfying satisfy VERB fuelectenerg-3306 79 16 restrictions restriction NOUN fuelectenerg-3306 79 17 ... ... PUNCT fuelectenerg-3306 79 18 3 3 NUM fuelectenerg-3306 79 19 the the DET fuelectenerg-3306 79 20 anf anf NOUN fuelectenerg-3306 79 21 as as ADP fuelectenerg-3306 79 22 the the DET fuelectenerg-3306 79 23 binary binary PROPN fuelectenerg-3306 79 24 coefficient coefficient PROPN fuelectenerg-3306 79 25 vector vector PROPN fuelectenerg-3306 79 26 , , PUNCT fuelectenerg-3306 79 27 known know VERB fuelectenerg-3306 79 28 as as ADP fuelectenerg-3306 79 29 the the DET fuelectenerg-3306 79 30 positive positive ADJ fuelectenerg-3306 79 31 polarity polarity NOUN fuelectenerg-3306 79 32 reed reed NOUN fuelectenerg-3306 79 33 - - PUNCT fuelectenerg-3306 79 34 muller muller PROPN fuelectenerg-3306 79 35 spectrum spectrum NOUN fuelectenerg-3306 79 36 . . PUNCT fuelectenerg-3306 80 1 therefore therefore ADV fuelectenerg-3306 80 2 in in ADP fuelectenerg-3306 80 3 switching switch VERB fuelectenerg-3306 80 4 theory theory NOUN fuelectenerg-3306 80 5 , , PUNCT fuelectenerg-3306 80 6 logic logic NOUN fuelectenerg-3306 80 7 design design NOUN fuelectenerg-3306 80 8 , , PUNCT fuelectenerg-3306 80 9 signal signal NOUN fuelectenerg-3306 80 10 processing processing NOUN fuelectenerg-3306 80 11 and and CCONJ fuelectenerg-3306 80 12 related related ADJ fuelectenerg-3306 80 13 areas area NOUN fuelectenerg-3306 80 14 , , PUNCT fuelectenerg-3306 80 15 the the DET fuelectenerg-3306 80 16 anf anf NOUN fuelectenerg-3306 80 17 is be AUX fuelectenerg-3306 80 18 also also ADV fuelectenerg-3306 80 19 called call VERB fuelectenerg-3306 80 20 positive positive ADJ fuelectenerg-3306 80 21 polarity polarity NOUN fuelectenerg-3306 80 22 reedmuller reedmuller VERB fuelectenerg-3306 80 23 normal normal ADJ fuelectenerg-3306 80 24 form form NOUN fuelectenerg-3306 80 25 . . PUNCT fuelectenerg-3306 81 1 any any DET fuelectenerg-3306 81 2 boolean boolean ADJ fuelectenerg-3306 81 3 function function NOUN fuelectenerg-3306 81 4 of of ADP fuelectenerg-3306 81 5 n n DET fuelectenerg-3306 81 6 variables variable NOUN fuelectenerg-3306 81 7 can can AUX fuelectenerg-3306 81 8 be be AUX fuelectenerg-3306 81 9 expressed express VERB fuelectenerg-3306 81 10 in in ADP fuelectenerg-3306 81 11 the the DET fuelectenerg-3306 81 12 positive positive ADJ fuelectenerg-3306 81 13 polarity polarity NOUN fuelectenerg-3306 81 14 reed reed NOUN fuelectenerg-3306 81 15 - - PUNCT fuelectenerg-3306 81 16 muller muller NOUN fuelectenerg-3306 81 17 form form NOUN fuelectenerg-3306 81 18 or or CCONJ fuelectenerg-3306 81 19 algebraic algebraic ADJ fuelectenerg-3306 81 20 normal normal ADJ fuelectenerg-3306 81 21 form form NOUN fuelectenerg-3306 81 22 as as ADP fuelectenerg-3306 81 23 [ [ X fuelectenerg-3306 81 24 6 6 NUM fuelectenerg-3306 81 25 ] ] X fuelectenerg-3306 81 26 : : PUNCT fuelectenerg-3306 81 27 f(x1 f(x1 ADJ fuelectenerg-3306 81 28 , , PUNCT fuelectenerg-3306 81 29 x2 x2 PROPN fuelectenerg-3306 81 30 , , PUNCT fuelectenerg-3306 81 31 . . PUNCT fuelectenerg-3306 81 32 . . PUNCT fuelectenerg-3306 81 33 . . PUNCT fuelectenerg-3306 82 1 , , PUNCT fuelectenerg-3306 82 2 xn xn X fuelectenerg-3306 82 3 ) ) PUNCT fuelectenerg-3306 82 4 = = SYM fuelectenerg-3306 82 5 n n NUM fuelectenerg-3306 82 6 ⊕ ⊕ PROPN fuelectenerg-3306 82 7 i=1 i=1 PROPN fuelectenerg-3306 83 1 siφi siφi PROPN fuelectenerg-3306 83 2 , , PUNCT fuelectenerg-3306 83 3 ( ( PUNCT fuelectenerg-3306 83 4 1 1 X fuelectenerg-3306 83 5 ) ) PUNCT fuelectenerg-3306 83 6 where where SCONJ fuelectenerg-3306 83 7 , , PUNCT fuelectenerg-3306 83 8 φi φi ADP fuelectenerg-3306 83 9 = = PROPN fuelectenerg-3306 83 10 n−1 n−1 PROPN fuelectenerg-3306 83 11 ∏ ∏ PROPN fuelectenerg-3306 83 12 k=0 k=0 X fuelectenerg-3306 83 13 ( ( PUNCT fuelectenerg-3306 83 14 xk xk PROPN fuelectenerg-3306 83 15 ) ) PUNCT fuelectenerg-3306 83 16 ik ik PROPN fuelectenerg-3306 83 17 , , PUNCT fuelectenerg-3306 83 18 ( ( PUNCT fuelectenerg-3306 83 19 2 2 X fuelectenerg-3306 83 20 ) ) PUNCT fuelectenerg-3306 83 21 where where SCONJ fuelectenerg-3306 83 22 xk xk PROPN fuelectenerg-3306 83 23 is be AUX fuelectenerg-3306 83 24 a a DET fuelectenerg-3306 83 25 variable variable NOUN fuelectenerg-3306 83 26 that that PRON fuelectenerg-3306 83 27 may may AUX fuelectenerg-3306 83 28 assume assume VERB fuelectenerg-3306 83 29 either either CCONJ fuelectenerg-3306 83 30 0 0 NUM fuelectenerg-3306 83 31 or or CCONJ fuelectenerg-3306 83 32 1 1 NUM fuelectenerg-3306 83 33 . . PUNCT fuelectenerg-3306 84 1 the the DET fuelectenerg-3306 84 2 values value NOUN fuelectenerg-3306 84 3 si si X fuelectenerg-3306 84 4 ∈ ∈ PROPN fuelectenerg-3306 84 5 { { PUNCT fuelectenerg-3306 84 6 0 0 NUM fuelectenerg-3306 84 7 , , PUNCT fuelectenerg-3306 84 8 1 1 NUM fuelectenerg-3306 84 9 } } PUNCT fuelectenerg-3306 84 10 , , PUNCT fuelectenerg-3306 84 11 also also ADV fuelectenerg-3306 84 12 known know VERB fuelectenerg-3306 84 13 as as ADP fuelectenerg-3306 84 14 the the DET fuelectenerg-3306 84 15 rm rm PROPN fuelectenerg-3306 84 16 spectral spectral ADJ fuelectenerg-3306 84 17 coefficients coefficient NOUN fuelectenerg-3306 84 18 , , PUNCT fuelectenerg-3306 84 19 short short PROPN fuelectenerg-3306 84 20 rm rm NOUN fuelectenerg-3306 84 21 - - PUNCT fuelectenerg-3306 84 22 coefficients coefficient NOUN fuelectenerg-3306 84 23 , , PUNCT fuelectenerg-3306 84 24 determine determine VERB fuelectenerg-3306 84 25 whether whether SCONJ fuelectenerg-3306 84 26 a a DET fuelectenerg-3306 84 27 product product NOUN fuelectenerg-3306 84 28 term term NOUN fuelectenerg-3306 84 29 is be AUX fuelectenerg-3306 84 30 present present ADJ fuelectenerg-3306 84 31 or or CCONJ fuelectenerg-3306 84 32 not not PART fuelectenerg-3306 84 33 in in ADP fuelectenerg-3306 84 34 ( ( PUNCT fuelectenerg-3306 84 35 1 1 NUM fuelectenerg-3306 84 36 ) ) PUNCT fuelectenerg-3306 84 37 . . PUNCT fuelectenerg-3306 85 1 in in ADP fuelectenerg-3306 85 2 addition addition NOUN fuelectenerg-3306 85 3 , , PUNCT fuelectenerg-3306 85 4 coordinates coordinate VERB fuelectenerg-3306 85 5 ik ik PROPN fuelectenerg-3306 85 6 ∈ ∈ PROPN fuelectenerg-3306 85 7 { { PUNCT fuelectenerg-3306 85 8 0 0 NUM fuelectenerg-3306 85 9 , , PUNCT fuelectenerg-3306 85 10 1 1 NUM fuelectenerg-3306 85 11 } } PUNCT fuelectenerg-3306 85 12 in in ADP fuelectenerg-3306 85 13 binary binary ADJ fuelectenerg-3306 85 14 representation representation NOUN fuelectenerg-3306 85 15 of of ADP fuelectenerg-3306 85 16 i i PRON fuelectenerg-3306 85 17 indicate indicate VERB fuelectenerg-3306 85 18 the the DET fuelectenerg-3306 85 19 presence presence NOUN fuelectenerg-3306 85 20 or or CCONJ fuelectenerg-3306 85 21 absence absence NOUN fuelectenerg-3306 85 22 of of ADP fuelectenerg-3306 85 23 a a DET fuelectenerg-3306 85 24 variable variable ADJ fuelectenerg-3306 85 25 xk xk NOUN fuelectenerg-3306 85 26 in in ADP fuelectenerg-3306 85 27 the the DET fuelectenerg-3306 85 28 product product NOUN fuelectenerg-3306 85 29 term term NOUN fuelectenerg-3306 85 30 φi φi ADV fuelectenerg-3306 85 31 , , PUNCT fuelectenerg-3306 85 32 ( ( PUNCT fuelectenerg-3306 85 33 x x SYM fuelectenerg-3306 85 34 1 1 NUM fuelectenerg-3306 85 35 k k NOUN fuelectenerg-3306 85 36 = = SYM fuelectenerg-3306 85 37 xk xk PROPN fuelectenerg-3306 85 38 , , PUNCT fuelectenerg-3306 85 39 x x PROPN fuelectenerg-3306 85 40 0 0 PUNCT fuelectenerg-3306 85 41 k k NOUN fuelectenerg-3306 85 42 = = NOUN fuelectenerg-3306 85 43 1 1 NUM fuelectenerg-3306 85 44 ) ) PUNCT fuelectenerg-3306 85 45 . . PUNCT fuelectenerg-3306 86 1 the the DET fuelectenerg-3306 86 2 symbol symbol NOUN fuelectenerg-3306 86 3 ⊕ ⊕ PROPN fuelectenerg-3306 86 4 denotes denote VERB fuelectenerg-3306 86 5 the the DET fuelectenerg-3306 86 6 exor exor PROPN fuelectenerg-3306 86 7 operation operation NOUN fuelectenerg-3306 86 8 , , PUNCT fuelectenerg-3306 86 9 and and CCONJ fuelectenerg-3306 86 10 multiplication multiplication NOUN fuelectenerg-3306 86 11 is be AUX fuelectenerg-3306 86 12 assumed assume VERB fuelectenerg-3306 86 13 to to PART fuelectenerg-3306 86 14 be be AUX fuelectenerg-3306 86 15 the the PRON fuelectenerg-3306 86 16 and and CCONJ fuelectenerg-3306 86 17 operation operation NOUN fuelectenerg-3306 86 18 . . PUNCT fuelectenerg-3306 87 1 the the DET fuelectenerg-3306 87 2 algebraic algebraic ADJ fuelectenerg-3306 87 3 degree degree NOUN fuelectenerg-3306 87 4 or or CCONJ fuelectenerg-3306 87 5 the the DET fuelectenerg-3306 87 6 order order NOUN fuelectenerg-3306 87 7 of of ADP fuelectenerg-3306 87 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 87 9 of of ADP fuelectenerg-3306 87 10 f f PROPN fuelectenerg-3306 87 11 is be AUX fuelectenerg-3306 87 12 the the DET fuelectenerg-3306 87 13 maximum maximum ADJ fuelectenerg-3306 87 14 number number NOUN fuelectenerg-3306 87 15 of of ADP fuelectenerg-3306 87 16 variables variable NOUN fuelectenerg-3306 87 17 in in ADP fuelectenerg-3306 87 18 a a DET fuelectenerg-3306 87 19 product product NOUN fuelectenerg-3306 87 20 term term NOUN fuelectenerg-3306 87 21 related relate VERB fuelectenerg-3306 87 22 with with ADP fuelectenerg-3306 87 23 a a DET fuelectenerg-3306 87 24 non non ADJ fuelectenerg-3306 87 25 - - ADJ fuelectenerg-3306 87 26 zero zero ADJ fuelectenerg-3306 87 27 coefficient coefficient NOUN fuelectenerg-3306 87 28 si si PROPN fuelectenerg-3306 87 29 . . PUNCT fuelectenerg-3306 88 1 the the DET fuelectenerg-3306 88 2 positive positive ADJ fuelectenerg-3306 88 3 polarity polarity NOUN fuelectenerg-3306 88 4 rm rm PROPN fuelectenerg-3306 88 5 coefficients coefficient NOUN fuelectenerg-3306 88 6 are be AUX fuelectenerg-3306 88 7 divided divide VERB fuelectenerg-3306 88 8 into into ADP fuelectenerg-3306 88 9 groups group NOUN fuelectenerg-3306 88 10 according accord VERB fuelectenerg-3306 88 11 to to ADP fuelectenerg-3306 88 12 the the DET fuelectenerg-3306 88 13 number number NOUN fuelectenerg-3306 88 14 of of ADP fuelectenerg-3306 88 15 ones one NOUN fuelectenerg-3306 88 16 in in ADP fuelectenerg-3306 88 17 the the DET fuelectenerg-3306 88 18 binary binary ADJ fuelectenerg-3306 88 19 representation representation NOUN fuelectenerg-3306 88 20 of of ADP fuelectenerg-3306 88 21 their their PRON fuelectenerg-3306 88 22 indices index NOUN fuelectenerg-3306 88 23 . . PUNCT fuelectenerg-3306 89 1 for for ADP fuelectenerg-3306 89 2 example example NOUN fuelectenerg-3306 89 3 , , PUNCT fuelectenerg-3306 89 4 coefficients coefficient NOUN fuelectenerg-3306 89 5 of of ADP fuelectenerg-3306 89 6 the the DET fuelectenerg-3306 89 7 first first ADJ fuelectenerg-3306 89 8 order order NOUN fuelectenerg-3306 89 9 are be AUX fuelectenerg-3306 89 10 s1 s1 NOUN fuelectenerg-3306 89 11 , , PUNCT fuelectenerg-3306 89 12 s2 s2 PROPN fuelectenerg-3306 89 13 , , PUNCT fuelectenerg-3306 89 14 s4 s4 PROPN fuelectenerg-3306 89 15 , , PUNCT fuelectenerg-3306 89 16 s8 s8 NOUN fuelectenerg-3306 89 17 . . PUNCT fuelectenerg-3306 89 18 . . PUNCT fuelectenerg-3306 90 1 .. .. PUNCT fuelectenerg-3306 90 2 coefficients coefficient NOUN fuelectenerg-3306 90 3 of of ADP fuelectenerg-3306 90 4 the the DET fuelectenerg-3306 90 5 second second ADJ fuelectenerg-3306 90 6 order order NOUN fuelectenerg-3306 90 7 are be AUX fuelectenerg-3306 90 8 assigned assign VERB fuelectenerg-3306 90 9 to to ADP fuelectenerg-3306 90 10 product product NOUN fuelectenerg-3306 90 11 terms term NOUN fuelectenerg-3306 90 12 consisting consist VERB fuelectenerg-3306 90 13 of of ADP fuelectenerg-3306 90 14 two two NUM fuelectenerg-3306 90 15 variables variable NOUN fuelectenerg-3306 90 16 . . PUNCT fuelectenerg-3306 91 1 the the DET fuelectenerg-3306 91 2 third third ADJ fuelectenerg-3306 91 3 order order NOUN fuelectenerg-3306 91 4 coefficients coefficient NOUN fuelectenerg-3306 91 5 correspond correspond VERB fuelectenerg-3306 91 6 to to ADP fuelectenerg-3306 91 7 product product NOUN fuelectenerg-3306 91 8 of of ADP fuelectenerg-3306 91 9 three three NUM fuelectenerg-3306 91 10 variables variable NOUN fuelectenerg-3306 91 11 and and CCONJ fuelectenerg-3306 91 12 so so ADV fuelectenerg-3306 91 13 forth forth ADV fuelectenerg-3306 91 14 , , PUNCT fuelectenerg-3306 91 15 until until ADP fuelectenerg-3306 91 16 the the DET fuelectenerg-3306 91 17 coefficient coefficient NOUN fuelectenerg-3306 91 18 of of ADP fuelectenerg-3306 91 19 order order NOUN fuelectenerg-3306 91 20 n n CCONJ fuelectenerg-3306 91 21 related relate VERB fuelectenerg-3306 91 22 to to ADP fuelectenerg-3306 91 23 the the DET fuelectenerg-3306 91 24 last last ADJ fuelectenerg-3306 91 25 product product NOUN fuelectenerg-3306 91 26 term term NOUN fuelectenerg-3306 91 27 x1x2 x1x2 X fuelectenerg-3306 91 28 . . PUNCT fuelectenerg-3306 91 29 . . PUNCT fuelectenerg-3306 91 30 . . PUNCT fuelectenerg-3306 92 1 xn xn X fuelectenerg-3306 92 2 . . PUNCT fuelectenerg-3306 93 1 definition definition NOUN fuelectenerg-3306 93 2 1 1 NUM fuelectenerg-3306 93 3 in in ADP fuelectenerg-3306 93 4 matrix matrix NOUN fuelectenerg-3306 93 5 notation notation NOUN fuelectenerg-3306 93 6 , , PUNCT fuelectenerg-3306 93 7 if if SCONJ fuelectenerg-3306 93 8 a a DET fuelectenerg-3306 93 9 function function NOUN fuelectenerg-3306 93 10 f f PROPN fuelectenerg-3306 93 11 and and CCONJ fuelectenerg-3306 93 12 its its PRON fuelectenerg-3306 93 13 rm rm NOUN fuelectenerg-3306 93 14 spectrum spectrum NOUN fuelectenerg-3306 93 15 sf sf NOUN fuelectenerg-3306 93 16 are be AUX fuelectenerg-3306 93 17 represented represent VERB fuelectenerg-3306 93 18 by by ADP fuelectenerg-3306 93 19 vectors vector NOUN fuelectenerg-3306 94 1 f f NOUN fuelectenerg-3306 94 2 = = PUNCT fuelectenerg-3306 95 1 [ [ X fuelectenerg-3306 95 2 f0 f0 PROPN fuelectenerg-3306 95 3 , , PUNCT fuelectenerg-3306 95 4 f1 f1 NOUN fuelectenerg-3306 95 5 , , PUNCT fuelectenerg-3306 95 6 . . PUNCT fuelectenerg-3306 95 7 . . PUNCT fuelectenerg-3306 96 1 . . PUNCT fuelectenerg-3306 97 1 , , PUNCT fuelectenerg-3306 97 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 97 3 ] ] X fuelectenerg-3306 97 4 t t PROPN fuelectenerg-3306 97 5 and and CCONJ fuelectenerg-3306 97 6 sf sf NOUN fuelectenerg-3306 97 7 = = PUNCT fuelectenerg-3306 98 1 [ [ X fuelectenerg-3306 98 2 s0 s0 PROPN fuelectenerg-3306 98 3 , , PUNCT fuelectenerg-3306 98 4 s1 s1 NOUN fuelectenerg-3306 98 5 , , PUNCT fuelectenerg-3306 98 6 . . PUNCT fuelectenerg-3306 98 7 . . PUNCT fuelectenerg-3306 99 1 . . PUNCT fuelectenerg-3306 100 1 , , PUNCT fuelectenerg-3306 100 2 s2n−1 s2n−1 PROPN fuelectenerg-3306 100 3 ] ] PUNCT fuelectenerg-3306 100 4 t t NOUN fuelectenerg-3306 100 5 respectively respectively ADV fuelectenerg-3306 100 6 , , PUNCT fuelectenerg-3306 100 7 the the DET fuelectenerg-3306 100 8 positive positive ADJ fuelectenerg-3306 100 9 polarity polarity NOUN fuelectenerg-3306 100 10 rm rm NOUN fuelectenerg-3306 100 11 transform transform NOUN fuelectenerg-3306 100 12 is be AUX fuelectenerg-3306 100 13 defined define VERB fuelectenerg-3306 100 14 by by ADP fuelectenerg-3306 100 15 the the DET fuelectenerg-3306 100 16 positive positive ADJ fuelectenerg-3306 100 17 polarity polarity NOUN fuelectenerg-3306 100 18 rm rm NOUN fuelectenerg-3306 100 19 matrix matrix NOUN fuelectenerg-3306 100 20 rm(n rm(n NOUN fuelectenerg-3306 100 21 ) ) PUNCT fuelectenerg-3306 101 1 [ [ X fuelectenerg-3306 101 2 6 6 NUM fuelectenerg-3306 101 3 ] ] PUNCT fuelectenerg-3306 101 4 : : PUNCT fuelectenerg-3306 101 5 sf sf NOUN fuelectenerg-3306 101 6 = = PUNCT fuelectenerg-3306 101 7 r(n)f r(n)f PROPN fuelectenerg-3306 101 8 , , PUNCT fuelectenerg-3306 101 9 ( ( PUNCT fuelectenerg-3306 101 10 3 3 X fuelectenerg-3306 101 11 ) ) PUNCT fuelectenerg-3306 101 12 where where SCONJ fuelectenerg-3306 101 13 , , PUNCT fuelectenerg-3306 101 14 r(n r(n PROPN fuelectenerg-3306 101 15 ) ) PUNCT fuelectenerg-3306 101 16 = = SYM fuelectenerg-3306 102 1 n n NUM fuelectenerg-3306 102 2 ⊗ ⊗ PROPN fuelectenerg-3306 102 3 i=1 i=1 PROPN fuelectenerg-3306 102 4 r(1 r(1 PROPN fuelectenerg-3306 102 5 ) ) PUNCT fuelectenerg-3306 103 1 , , PUNCT fuelectenerg-3306 103 2 ( ( PUNCT fuelectenerg-3306 103 3 4 4 X fuelectenerg-3306 103 4 ) ) SYM fuelectenerg-3306 103 5 208 208 NUM fuelectenerg-3306 103 6 m. m. NOUN fuelectenerg-3306 103 7 radmanović radmanović NOUN fuelectenerg-3306 103 8 , , PUNCT fuelectenerg-3306 103 9 r. r. PROPN fuelectenerg-3306 103 10 s. s. PROPN fuelectenerg-3306 103 11 stanković stanković PROPN fuelectenerg-3306 103 12 construction construction NOUN fuelectenerg-3306 103 13 of of ADP fuelectenerg-3306 103 14 subsets subset NOUN fuelectenerg-3306 103 15 of of ADP fuelectenerg-3306 103 16 bent bent ADJ fuelectenerg-3306 103 17 functions function NOUN fuelectenerg-3306 103 18 satisfying satisfy VERB fuelectenerg-3306 103 19 restrictions restriction NOUN fuelectenerg-3306 103 20 ... ... PUNCT fuelectenerg-3306 103 21 209 209 NUM fuelectenerg-3306 103 22 2 2 NUM fuelectenerg-3306 103 23 m. m. NOUN fuelectenerg-3306 103 24 radmanović radmanović NOUN fuelectenerg-3306 103 25 and and CCONJ fuelectenerg-3306 103 26 r. r. PROPN fuelectenerg-3306 103 27 stanković stanković PROPN fuelectenerg-3306 103 28 functions function NOUN fuelectenerg-3306 103 29 . . PUNCT fuelectenerg-3306 104 1 due due ADP fuelectenerg-3306 104 2 to to ADP fuelectenerg-3306 104 3 that that DET fuelectenerg-3306 104 4 property property NOUN fuelectenerg-3306 104 5 , , PUNCT fuelectenerg-3306 104 6 bent bent ADJ fuelectenerg-3306 104 7 functions function NOUN fuelectenerg-3306 104 8 are be AUX fuelectenerg-3306 104 9 useful useful ADJ fuelectenerg-3306 104 10 for for ADP fuelectenerg-3306 104 11 cryptographic cryptographic ADJ fuelectenerg-3306 104 12 purposes purpose NOUN fuelectenerg-3306 104 13 , , PUNCT fuelectenerg-3306 104 14 such such ADJ fuelectenerg-3306 104 15 as as ADP fuelectenerg-3306 104 16 block block NOUN fuelectenerg-3306 104 17 ciphers cipher NOUN fuelectenerg-3306 104 18 , , PUNCT fuelectenerg-3306 104 19 stream stream NOUN fuelectenerg-3306 104 20 ciphers cipher NOUN fuelectenerg-3306 104 21 , , PUNCT fuelectenerg-3306 104 22 and and CCONJ fuelectenerg-3306 104 23 hash hash NOUN fuelectenerg-3306 104 24 functions function NOUN fuelectenerg-3306 104 25 in in ADP fuelectenerg-3306 104 26 many many ADJ fuelectenerg-3306 104 27 areas area NOUN fuelectenerg-3306 104 28 [ [ X fuelectenerg-3306 104 29 1 1 NUM fuelectenerg-3306 104 30 ] ] PUNCT fuelectenerg-3306 104 31 , , PUNCT fuelectenerg-3306 104 32 [ [ X fuelectenerg-3306 104 33 2 2 NUM fuelectenerg-3306 104 34 ] ] PUNCT fuelectenerg-3306 104 35 . . PUNCT fuelectenerg-3306 105 1 they they PRON fuelectenerg-3306 105 2 have have AUX fuelectenerg-3306 105 3 been be AUX fuelectenerg-3306 105 4 attracted attract VERB fuelectenerg-3306 105 5 a a DET fuelectenerg-3306 105 6 lot lot NOUN fuelectenerg-3306 105 7 of of ADP fuelectenerg-3306 105 8 attention attention NOUN fuelectenerg-3306 105 9 in in ADP fuelectenerg-3306 105 10 cryptography cryptography NOUN fuelectenerg-3306 105 11 , , PUNCT fuelectenerg-3306 105 12 but but CCONJ fuelectenerg-3306 105 13 have have AUX fuelectenerg-3306 105 14 also also ADV fuelectenerg-3306 105 15 studied study VERB fuelectenerg-3306 105 16 in in ADP fuelectenerg-3306 105 17 many many ADJ fuelectenerg-3306 105 18 other other ADJ fuelectenerg-3306 105 19 areas area NOUN fuelectenerg-3306 105 20 such such ADJ fuelectenerg-3306 105 21 as as ADP fuelectenerg-3306 105 22 combinatorics combinatoric NOUN fuelectenerg-3306 105 23 , , PUNCT fuelectenerg-3306 105 24 coding code VERB fuelectenerg-3306 105 25 theory theory NOUN fuelectenerg-3306 105 26 , , PUNCT fuelectenerg-3306 105 27 logic logic NOUN fuelectenerg-3306 105 28 synthesis synthesis NOUN fuelectenerg-3306 105 29 , , PUNCT fuelectenerg-3306 105 30 and and CCONJ fuelectenerg-3306 105 31 signal signal VERB fuelectenerg-3306 105 32 processing processing NOUN fuelectenerg-3306 105 33 [ [ X fuelectenerg-3306 105 34 3 3 NUM fuelectenerg-3306 105 35 ] ] PUNCT fuelectenerg-3306 105 36 , , PUNCT fuelectenerg-3306 105 37 [ [ X fuelectenerg-3306 105 38 4 4 NUM fuelectenerg-3306 105 39 ] ] PUNCT fuelectenerg-3306 105 40 . . PUNCT fuelectenerg-3306 106 1 the the DET fuelectenerg-3306 106 2 problem problem NOUN fuelectenerg-3306 106 3 is be AUX fuelectenerg-3306 106 4 that that SCONJ fuelectenerg-3306 106 5 they they PRON fuelectenerg-3306 106 6 are be AUX fuelectenerg-3306 106 7 not not PART fuelectenerg-3306 106 8 balanced balanced ADJ fuelectenerg-3306 106 9 . . PUNCT fuelectenerg-3306 107 1 therefore therefore ADV fuelectenerg-3306 107 2 , , PUNCT fuelectenerg-3306 107 3 constructing construct VERB fuelectenerg-3306 107 4 bent bent ADJ fuelectenerg-3306 107 5 functions function NOUN fuelectenerg-3306 107 6 followed follow VERB fuelectenerg-3306 107 7 by by ADP fuelectenerg-3306 107 8 a a DET fuelectenerg-3306 107 9 procedure procedure NOUN fuelectenerg-3306 107 10 to to PART fuelectenerg-3306 107 11 make make VERB fuelectenerg-3306 107 12 them they PRON fuelectenerg-3306 107 13 balanced balanced ADJ fuelectenerg-3306 107 14 is be AUX fuelectenerg-3306 107 15 in in ADP fuelectenerg-3306 107 16 foundations foundation NOUN fuelectenerg-3306 107 17 of of ADP fuelectenerg-3306 107 18 many many ADJ fuelectenerg-3306 107 19 cryptographic cryptographic ADJ fuelectenerg-3306 107 20 procedures procedure NOUN fuelectenerg-3306 107 21 . . PUNCT fuelectenerg-3306 108 1 there there PRON fuelectenerg-3306 108 2 are be VERB fuelectenerg-3306 108 3 many many ADJ fuelectenerg-3306 108 4 procedures procedure NOUN fuelectenerg-3306 108 5 to to PART fuelectenerg-3306 108 6 construct construct VERB fuelectenerg-3306 108 7 bent bent ADJ fuelectenerg-3306 108 8 functions function NOUN fuelectenerg-3306 108 9 , , PUNCT fuelectenerg-3306 108 10 but but CCONJ fuelectenerg-3306 108 11 most most ADJ fuelectenerg-3306 108 12 of of ADP fuelectenerg-3306 108 13 them they PRON fuelectenerg-3306 108 14 are be AUX fuelectenerg-3306 108 15 exhaustive exhaustive ADJ fuelectenerg-3306 108 16 in in ADP fuelectenerg-3306 108 17 the the DET fuelectenerg-3306 108 18 sense sense NOUN fuelectenerg-3306 108 19 that that PRON fuelectenerg-3306 108 20 can can AUX fuelectenerg-3306 108 21 produce produce VERB fuelectenerg-3306 108 22 all all DET fuelectenerg-3306 108 23 bent bent ADJ fuelectenerg-3306 108 24 functions function NOUN fuelectenerg-3306 108 25 for for ADP fuelectenerg-3306 108 26 a a DET fuelectenerg-3306 108 27 given give VERB fuelectenerg-3306 108 28 n. n. NOUN fuelectenerg-3306 108 29 another another DET fuelectenerg-3306 108 30 problem problem NOUN fuelectenerg-3306 108 31 is be AUX fuelectenerg-3306 108 32 that that SCONJ fuelectenerg-3306 108 33 being be AUX fuelectenerg-3306 108 34 based base VERB fuelectenerg-3306 108 35 on on ADP fuelectenerg-3306 108 36 some some DET fuelectenerg-3306 108 37 deterministic deterministic ADJ fuelectenerg-3306 108 38 procedures procedure NOUN fuelectenerg-3306 108 39 , , PUNCT fuelectenerg-3306 108 40 there there PRON fuelectenerg-3306 108 41 is be VERB fuelectenerg-3306 108 42 a a DET fuelectenerg-3306 108 43 no no DET fuelectenerg-3306 108 44 negligible negligible ADJ fuelectenerg-3306 108 45 possibility possibility NOUN fuelectenerg-3306 108 46 that that SCONJ fuelectenerg-3306 108 47 the the DET fuelectenerg-3306 108 48 produced produce VERB fuelectenerg-3306 108 49 bent bent ADJ fuelectenerg-3306 108 50 function function NOUN fuelectenerg-3306 108 51 might might AUX fuelectenerg-3306 108 52 express express VERB fuelectenerg-3306 108 53 some some DET fuelectenerg-3306 108 54 degree degree NOUN fuelectenerg-3306 108 55 of of ADP fuelectenerg-3306 108 56 regularity regularity NOUN fuelectenerg-3306 108 57 . . PUNCT fuelectenerg-3306 109 1 random random ADJ fuelectenerg-3306 109 2 generation generation NOUN fuelectenerg-3306 109 3 of of ADP fuelectenerg-3306 109 4 bent bent ADJ fuelectenerg-3306 109 5 functions function NOUN fuelectenerg-3306 109 6 is be AUX fuelectenerg-3306 109 7 often often ADV fuelectenerg-3306 109 8 used use VERB fuelectenerg-3306 109 9 as as ADP fuelectenerg-3306 109 10 an an DET fuelectenerg-3306 109 11 alternative alternative NOUN fuelectenerg-3306 109 12 . . PUNCT fuelectenerg-3306 110 1 the the DET fuelectenerg-3306 110 2 problem problem NOUN fuelectenerg-3306 110 3 is be AUX fuelectenerg-3306 110 4 however however ADV fuelectenerg-3306 110 5 that that SCONJ fuelectenerg-3306 110 6 the the DET fuelectenerg-3306 110 7 number number NOUN fuelectenerg-3306 110 8 of of ADP fuelectenerg-3306 110 9 bent bent ADJ fuelectenerg-3306 110 10 functions function NOUN fuelectenerg-3306 110 11 is be AUX fuelectenerg-3306 110 12 very very ADV fuelectenerg-3306 110 13 small small ADJ fuelectenerg-3306 110 14 compared compare VERB fuelectenerg-3306 110 15 to to ADP fuelectenerg-3306 110 16 the the DET fuelectenerg-3306 110 17 total total ADJ fuelectenerg-3306 110 18 number number NOUN fuelectenerg-3306 110 19 of of ADP fuelectenerg-3306 110 20 22n 22n NOUN fuelectenerg-3306 110 21 boolean boolean ADJ fuelectenerg-3306 110 22 functions function NOUN fuelectenerg-3306 110 23 . . PUNCT fuelectenerg-3306 111 1 expressed express VERB fuelectenerg-3306 111 2 in in ADP fuelectenerg-3306 111 3 percentages percentage NOUN fuelectenerg-3306 111 4 , , PUNCT fuelectenerg-3306 111 5 it it PRON fuelectenerg-3306 111 6 is be AUX fuelectenerg-3306 111 7 1 1 NUM fuelectenerg-3306 111 8 , , PUNCT fuelectenerg-3306 111 9 36 36 NUM fuelectenerg-3306 111 10 % % NOUN fuelectenerg-3306 111 11 , , PUNCT fuelectenerg-3306 111 12 2 2 NUM fuelectenerg-3306 111 13 , , PUNCT fuelectenerg-3306 111 14 94×10−8 94×10−8 NUM fuelectenerg-3306 111 15 % % NOUN fuelectenerg-3306 111 16 , , PUNCT fuelectenerg-3306 111 17 and and CCONJ fuelectenerg-3306 111 18 8 8 NUM fuelectenerg-3306 111 19 , , PUNCT fuelectenerg-3306 111 20 57×10−44 57×10−44 NOUN fuelectenerg-3306 111 21 % % NOUN fuelectenerg-3306 111 22 for for ADP fuelectenerg-3306 111 23 n n NOUN fuelectenerg-3306 111 24 = = SYM fuelectenerg-3306 111 25 4 4 NUM fuelectenerg-3306 111 26 , , PUNCT fuelectenerg-3306 111 27 6 6 NUM fuelectenerg-3306 111 28 , , PUNCT fuelectenerg-3306 111 29 8 8 NUM fuelectenerg-3306 111 30 , , PUNCT fuelectenerg-3306 111 31 out out ADP fuelectenerg-3306 111 32 of of ADP fuelectenerg-3306 111 33 65.536 65.536 NUM fuelectenerg-3306 111 34 , , PUNCT fuelectenerg-3306 111 35 18.446.744.073.709.551.616 18.446.744.073.709.551.616 NUM fuelectenerg-3306 111 36 , , PUNCT fuelectenerg-3306 111 37 and and CCONJ fuelectenerg-3306 111 38 1 1 NUM fuelectenerg-3306 111 39 , , PUNCT fuelectenerg-3306 111 40 1579208923731619542357098500869 1579208923731619542357098500869 NUM fuelectenerg-3306 111 41 × × NOUN fuelectenerg-3306 111 42 10 10 NUM fuelectenerg-3306 111 43 + + NOUN fuelectenerg-3306 111 44 77 77 NUM fuelectenerg-3306 111 45 functions function NOUN fuelectenerg-3306 111 46 . . PUNCT fuelectenerg-3306 112 1 therefore therefore ADV fuelectenerg-3306 112 2 , , PUNCT fuelectenerg-3306 112 3 random random ADJ fuelectenerg-3306 112 4 finding finding NOUN fuelectenerg-3306 112 5 of of ADP fuelectenerg-3306 112 6 bent bent ADJ fuelectenerg-3306 112 7 functions function NOUN fuelectenerg-3306 112 8 necessarily necessarily ADV fuelectenerg-3306 112 9 requires require VERB fuelectenerg-3306 112 10 reduction reduction NOUN fuelectenerg-3306 112 11 of of ADP fuelectenerg-3306 112 12 the the DET fuelectenerg-3306 112 13 search search NOUN fuelectenerg-3306 112 14 space space NOUN fuelectenerg-3306 112 15 by by ADP fuelectenerg-3306 112 16 using use VERB fuelectenerg-3306 112 17 properties property NOUN fuelectenerg-3306 112 18 of of ADP fuelectenerg-3306 112 19 bent bent ADJ fuelectenerg-3306 112 20 functions function NOUN fuelectenerg-3306 112 21 . . PUNCT fuelectenerg-3306 113 1 in in ADP fuelectenerg-3306 113 2 this this DET fuelectenerg-3306 113 3 paper paper NOUN fuelectenerg-3306 113 4 , , PUNCT fuelectenerg-3306 113 5 we we PRON fuelectenerg-3306 113 6 explore explore VERB fuelectenerg-3306 113 7 how how SCONJ fuelectenerg-3306 113 8 large large ADJ fuelectenerg-3306 113 9 is be AUX fuelectenerg-3306 113 10 the the DET fuelectenerg-3306 113 11 number number NOUN fuelectenerg-3306 113 12 of of ADP fuelectenerg-3306 113 13 bent bent ADJ fuelectenerg-3306 113 14 functions function NOUN fuelectenerg-3306 113 15 in in ADP fuelectenerg-3306 113 16 certain certain ADJ fuelectenerg-3306 113 17 restricted restricted ADJ fuelectenerg-3306 113 18 subsets subset NOUN fuelectenerg-3306 113 19 of of ADP fuelectenerg-3306 113 20 boolean boolean ADJ fuelectenerg-3306 113 21 functions function NOUN fuelectenerg-3306 113 22 with with ADP fuelectenerg-3306 113 23 restrictions restriction NOUN fuelectenerg-3306 113 24 derived derive VERB fuelectenerg-3306 113 25 from from ADP fuelectenerg-3306 113 26 properties property NOUN fuelectenerg-3306 113 27 of of ADP fuelectenerg-3306 113 28 bent bent ADJ fuelectenerg-3306 113 29 functions function NOUN fuelectenerg-3306 113 30 . . PUNCT fuelectenerg-3306 114 1 the the DET fuelectenerg-3306 114 2 aim aim NOUN fuelectenerg-3306 114 3 is be AUX fuelectenerg-3306 114 4 to to PART fuelectenerg-3306 114 5 provide provide VERB fuelectenerg-3306 114 6 specifications specification NOUN fuelectenerg-3306 114 7 how how SCONJ fuelectenerg-3306 114 8 to to PART fuelectenerg-3306 114 9 restrict restrict VERB fuelectenerg-3306 114 10 the the DET fuelectenerg-3306 114 11 search search NOUN fuelectenerg-3306 114 12 space space NOUN fuelectenerg-3306 114 13 for for ADP fuelectenerg-3306 114 14 bent bent ADJ fuelectenerg-3306 114 15 functions function NOUN fuelectenerg-3306 114 16 according accord VERB fuelectenerg-3306 114 17 to to ADP fuelectenerg-3306 114 18 the the DET fuelectenerg-3306 114 19 probability probability NOUN fuelectenerg-3306 114 20 of of ADP fuelectenerg-3306 114 21 finding find VERB fuelectenerg-3306 114 22 them they PRON fuelectenerg-3306 114 23 in in ADP fuelectenerg-3306 114 24 predefined predefine VERB fuelectenerg-3306 114 25 subsets subset NOUN fuelectenerg-3306 114 26 of of ADP fuelectenerg-3306 114 27 boolean boolean ADJ fuelectenerg-3306 114 28 functions function NOUN fuelectenerg-3306 114 29 . . PUNCT fuelectenerg-3306 115 1 the the DET fuelectenerg-3306 115 2 restrictions restriction NOUN fuelectenerg-3306 115 3 are be AUX fuelectenerg-3306 115 4 formulated formulate VERB fuelectenerg-3306 115 5 in in ADP fuelectenerg-3306 115 6 the the DET fuelectenerg-3306 115 7 reed reed NOUN fuelectenerg-3306 115 8 - - PUNCT fuelectenerg-3306 115 9 muller muller NOUN fuelectenerg-3306 115 10 ( ( PUNCT fuelectenerg-3306 115 11 rm rm PROPN fuelectenerg-3306 115 12 ) ) PUNCT fuelectenerg-3306 115 13 domain domain NOUN fuelectenerg-3306 115 14 [ [ X fuelectenerg-3306 115 15 5 5 NUM fuelectenerg-3306 115 16 ] ] PUNCT fuelectenerg-3306 115 17 . . PUNCT fuelectenerg-3306 116 1 this this DET fuelectenerg-3306 116 2 paper paper NOUN fuelectenerg-3306 116 3 is be AUX fuelectenerg-3306 116 4 organized organize VERB fuelectenerg-3306 116 5 as as SCONJ fuelectenerg-3306 116 6 follows follow VERB fuelectenerg-3306 116 7 : : PUNCT fuelectenerg-3306 116 8 section section NOUN fuelectenerg-3306 116 9 2 2 NUM fuelectenerg-3306 116 10 shortly shortly ADV fuelectenerg-3306 116 11 introduces introduce VERB fuelectenerg-3306 116 12 the the DET fuelectenerg-3306 116 13 theoretical theoretical ADJ fuelectenerg-3306 116 14 background background NOUN fuelectenerg-3306 116 15 and and CCONJ fuelectenerg-3306 116 16 necessary necessary ADJ fuelectenerg-3306 116 17 concepts concept NOUN fuelectenerg-3306 116 18 to to PART fuelectenerg-3306 116 19 be be AUX fuelectenerg-3306 116 20 discussed discuss VERB fuelectenerg-3306 116 21 . . PUNCT fuelectenerg-3306 117 1 in in ADP fuelectenerg-3306 117 2 section section NOUN fuelectenerg-3306 117 3 3 3 NUM fuelectenerg-3306 117 4 , , PUNCT fuelectenerg-3306 117 5 three three NUM fuelectenerg-3306 117 6 approaches approach NOUN fuelectenerg-3306 117 7 to to ADP fuelectenerg-3306 117 8 the the DET fuelectenerg-3306 117 9 restriction restriction NOUN fuelectenerg-3306 117 10 of of ADP fuelectenerg-3306 117 11 the the DET fuelectenerg-3306 117 12 search search NOUN fuelectenerg-3306 117 13 space space NOUN fuelectenerg-3306 117 14 in in ADP fuelectenerg-3306 117 15 finding find VERB fuelectenerg-3306 117 16 bent bent ADJ fuelectenerg-3306 117 17 functions function NOUN fuelectenerg-3306 117 18 in in ADP fuelectenerg-3306 117 19 rm rm NOUN fuelectenerg-3306 117 20 domain domain NOUN fuelectenerg-3306 117 21 are be AUX fuelectenerg-3306 117 22 presented present VERB fuelectenerg-3306 117 23 . . PUNCT fuelectenerg-3306 118 1 the the DET fuelectenerg-3306 118 2 experimental experimental ADJ fuelectenerg-3306 118 3 results result NOUN fuelectenerg-3306 118 4 are be AUX fuelectenerg-3306 118 5 shown show VERB fuelectenerg-3306 118 6 and and CCONJ fuelectenerg-3306 118 7 discussed discuss VERB fuelectenerg-3306 118 8 in in ADP fuelectenerg-3306 118 9 section section NOUN fuelectenerg-3306 118 10 4 4 NUM fuelectenerg-3306 118 11 . . PUNCT fuelectenerg-3306 119 1 the the DET fuelectenerg-3306 119 2 closing closing NOUN fuelectenerg-3306 119 3 section section NOUN fuelectenerg-3306 119 4 5 5 NUM fuelectenerg-3306 119 5 summarizes summarize VERB fuelectenerg-3306 119 6 the the DET fuelectenerg-3306 119 7 results result NOUN fuelectenerg-3306 119 8 of of ADP fuelectenerg-3306 119 9 the the DET fuelectenerg-3306 119 10 research research NOUN fuelectenerg-3306 119 11 reported report VERB fuelectenerg-3306 119 12 in in ADP fuelectenerg-3306 119 13 this this DET fuelectenerg-3306 119 14 paper paper NOUN fuelectenerg-3306 119 15 . . PUNCT fuelectenerg-3306 120 1 2 2 NUM fuelectenerg-3306 120 2 background background NOUN fuelectenerg-3306 120 3 theory theory NOUN fuelectenerg-3306 120 4 2.1 2.1 NUM fuelectenerg-3306 120 5 reed reed NOUN fuelectenerg-3306 120 6 - - PUNCT fuelectenerg-3306 120 7 muller muller NOUN fuelectenerg-3306 120 8 transform transform VERB fuelectenerg-3306 120 9 the the DET fuelectenerg-3306 120 10 algebraic algebraic ADJ fuelectenerg-3306 120 11 normal normal ADJ fuelectenerg-3306 120 12 form form NOUN fuelectenerg-3306 120 13 ( ( PUNCT fuelectenerg-3306 120 14 anf anf VERB fuelectenerg-3306 120 15 ) ) PUNCT fuelectenerg-3306 120 16 is be AUX fuelectenerg-3306 120 17 one one NUM fuelectenerg-3306 120 18 of of ADP fuelectenerg-3306 120 19 the the DET fuelectenerg-3306 120 20 most most ADV fuelectenerg-3306 120 21 used used ADJ fuelectenerg-3306 120 22 representations representation NOUN fuelectenerg-3306 120 23 in in ADP fuelectenerg-3306 120 24 cryptography cryptography NOUN fuelectenerg-3306 120 25 . . PUNCT fuelectenerg-3306 121 1 every every DET fuelectenerg-3306 121 2 boolean boolean ADJ fuelectenerg-3306 121 3 function function NOUN fuelectenerg-3306 121 4 has have VERB fuelectenerg-3306 121 5 a a DET fuelectenerg-3306 121 6 unique unique ADJ fuelectenerg-3306 121 7 representation representation NOUN fuelectenerg-3306 121 8 in in ADP fuelectenerg-3306 121 9 construction construction NOUN fuelectenerg-3306 121 10 of of ADP fuelectenerg-3306 121 11 subsets subset NOUN fuelectenerg-3306 121 12 of of ADP fuelectenerg-3306 121 13 bent bent ADJ fuelectenerg-3306 121 14 functions function NOUN fuelectenerg-3306 121 15 satisfying satisfy VERB fuelectenerg-3306 121 16 restrictions restriction NOUN fuelectenerg-3306 121 17 ... ... PUNCT fuelectenerg-3306 121 18 3 3 NUM fuelectenerg-3306 121 19 the the DET fuelectenerg-3306 121 20 anf anf NOUN fuelectenerg-3306 121 21 as as ADP fuelectenerg-3306 121 22 the the DET fuelectenerg-3306 121 23 binary binary PROPN fuelectenerg-3306 121 24 coefficient coefficient PROPN fuelectenerg-3306 121 25 vector vector PROPN fuelectenerg-3306 121 26 , , PUNCT fuelectenerg-3306 121 27 known know VERB fuelectenerg-3306 121 28 as as ADP fuelectenerg-3306 121 29 the the DET fuelectenerg-3306 121 30 positive positive ADJ fuelectenerg-3306 121 31 polarity polarity NOUN fuelectenerg-3306 121 32 reed reed NOUN fuelectenerg-3306 121 33 - - PUNCT fuelectenerg-3306 121 34 muller muller PROPN fuelectenerg-3306 121 35 spectrum spectrum NOUN fuelectenerg-3306 121 36 . . PUNCT fuelectenerg-3306 122 1 therefore therefore ADV fuelectenerg-3306 122 2 in in ADP fuelectenerg-3306 122 3 switching switch VERB fuelectenerg-3306 122 4 theory theory NOUN fuelectenerg-3306 122 5 , , PUNCT fuelectenerg-3306 122 6 logic logic NOUN fuelectenerg-3306 122 7 design design NOUN fuelectenerg-3306 122 8 , , PUNCT fuelectenerg-3306 122 9 signal signal NOUN fuelectenerg-3306 122 10 processing processing NOUN fuelectenerg-3306 122 11 and and CCONJ fuelectenerg-3306 122 12 related related ADJ fuelectenerg-3306 122 13 areas area NOUN fuelectenerg-3306 122 14 , , PUNCT fuelectenerg-3306 122 15 the the DET fuelectenerg-3306 122 16 anf anf NOUN fuelectenerg-3306 122 17 is be AUX fuelectenerg-3306 122 18 also also ADV fuelectenerg-3306 122 19 called call VERB fuelectenerg-3306 122 20 positive positive ADJ fuelectenerg-3306 122 21 polarity polarity NOUN fuelectenerg-3306 122 22 reedmuller reedmuller VERB fuelectenerg-3306 122 23 normal normal ADJ fuelectenerg-3306 122 24 form form NOUN fuelectenerg-3306 122 25 . . PUNCT fuelectenerg-3306 123 1 any any DET fuelectenerg-3306 123 2 boolean boolean ADJ fuelectenerg-3306 123 3 function function NOUN fuelectenerg-3306 123 4 of of ADP fuelectenerg-3306 123 5 n n DET fuelectenerg-3306 123 6 variables variable NOUN fuelectenerg-3306 123 7 can can AUX fuelectenerg-3306 123 8 be be AUX fuelectenerg-3306 123 9 expressed express VERB fuelectenerg-3306 123 10 in in ADP fuelectenerg-3306 123 11 the the DET fuelectenerg-3306 123 12 positive positive ADJ fuelectenerg-3306 123 13 polarity polarity NOUN fuelectenerg-3306 123 14 reed reed NOUN fuelectenerg-3306 123 15 - - PUNCT fuelectenerg-3306 123 16 muller muller NOUN fuelectenerg-3306 123 17 form form NOUN fuelectenerg-3306 123 18 or or CCONJ fuelectenerg-3306 123 19 algebraic algebraic ADJ fuelectenerg-3306 123 20 normal normal ADJ fuelectenerg-3306 123 21 form form NOUN fuelectenerg-3306 123 22 as as ADP fuelectenerg-3306 123 23 [ [ X fuelectenerg-3306 123 24 6 6 NUM fuelectenerg-3306 123 25 ] ] X fuelectenerg-3306 123 26 : : PUNCT fuelectenerg-3306 123 27 f(x1 f(x1 ADJ fuelectenerg-3306 123 28 , , PUNCT fuelectenerg-3306 123 29 x2 x2 PROPN fuelectenerg-3306 123 30 , , PUNCT fuelectenerg-3306 123 31 . . PUNCT fuelectenerg-3306 123 32 . . PUNCT fuelectenerg-3306 123 33 . . PUNCT fuelectenerg-3306 124 1 , , PUNCT fuelectenerg-3306 124 2 xn xn X fuelectenerg-3306 124 3 ) ) PUNCT fuelectenerg-3306 124 4 = = SYM fuelectenerg-3306 124 5 n n NUM fuelectenerg-3306 124 6 ⊕ ⊕ PROPN fuelectenerg-3306 124 7 i=1 i=1 PROPN fuelectenerg-3306 125 1 siφi siφi PROPN fuelectenerg-3306 125 2 , , PUNCT fuelectenerg-3306 125 3 ( ( PUNCT fuelectenerg-3306 125 4 1 1 X fuelectenerg-3306 125 5 ) ) PUNCT fuelectenerg-3306 125 6 where where SCONJ fuelectenerg-3306 125 7 , , PUNCT fuelectenerg-3306 125 8 φi φi ADP fuelectenerg-3306 125 9 = = PROPN fuelectenerg-3306 125 10 n−1 n−1 PROPN fuelectenerg-3306 125 11 ∏ ∏ PROPN fuelectenerg-3306 125 12 k=0 k=0 X fuelectenerg-3306 125 13 ( ( PUNCT fuelectenerg-3306 125 14 xk xk PROPN fuelectenerg-3306 125 15 ) ) PUNCT fuelectenerg-3306 125 16 ik ik PROPN fuelectenerg-3306 125 17 , , PUNCT fuelectenerg-3306 125 18 ( ( PUNCT fuelectenerg-3306 125 19 2 2 X fuelectenerg-3306 125 20 ) ) PUNCT fuelectenerg-3306 125 21 where where SCONJ fuelectenerg-3306 125 22 xk xk PROPN fuelectenerg-3306 125 23 is be AUX fuelectenerg-3306 125 24 a a DET fuelectenerg-3306 125 25 variable variable NOUN fuelectenerg-3306 125 26 that that PRON fuelectenerg-3306 125 27 may may AUX fuelectenerg-3306 125 28 assume assume VERB fuelectenerg-3306 125 29 either either CCONJ fuelectenerg-3306 125 30 0 0 NUM fuelectenerg-3306 125 31 or or CCONJ fuelectenerg-3306 125 32 1 1 NUM fuelectenerg-3306 125 33 . . PUNCT fuelectenerg-3306 126 1 the the DET fuelectenerg-3306 126 2 values value NOUN fuelectenerg-3306 126 3 si si X fuelectenerg-3306 126 4 ∈ ∈ PROPN fuelectenerg-3306 126 5 { { PUNCT fuelectenerg-3306 126 6 0 0 NUM fuelectenerg-3306 126 7 , , PUNCT fuelectenerg-3306 126 8 1 1 NUM fuelectenerg-3306 126 9 } } PUNCT fuelectenerg-3306 126 10 , , PUNCT fuelectenerg-3306 126 11 also also ADV fuelectenerg-3306 126 12 known know VERB fuelectenerg-3306 126 13 as as ADP fuelectenerg-3306 126 14 the the DET fuelectenerg-3306 126 15 rm rm PROPN fuelectenerg-3306 126 16 spectral spectral ADJ fuelectenerg-3306 126 17 coefficients coefficient NOUN fuelectenerg-3306 126 18 , , PUNCT fuelectenerg-3306 126 19 short short PROPN fuelectenerg-3306 126 20 rm rm NOUN fuelectenerg-3306 126 21 - - PUNCT fuelectenerg-3306 126 22 coefficients coefficient NOUN fuelectenerg-3306 126 23 , , PUNCT fuelectenerg-3306 126 24 determine determine VERB fuelectenerg-3306 126 25 whether whether SCONJ fuelectenerg-3306 126 26 a a DET fuelectenerg-3306 126 27 product product NOUN fuelectenerg-3306 126 28 term term NOUN fuelectenerg-3306 126 29 is be AUX fuelectenerg-3306 126 30 present present ADJ fuelectenerg-3306 126 31 or or CCONJ fuelectenerg-3306 126 32 not not PART fuelectenerg-3306 126 33 in in ADP fuelectenerg-3306 126 34 ( ( PUNCT fuelectenerg-3306 126 35 1 1 NUM fuelectenerg-3306 126 36 ) ) PUNCT fuelectenerg-3306 126 37 . . PUNCT fuelectenerg-3306 127 1 in in ADP fuelectenerg-3306 127 2 addition addition NOUN fuelectenerg-3306 127 3 , , PUNCT fuelectenerg-3306 127 4 coordinates coordinate VERB fuelectenerg-3306 127 5 ik ik PROPN fuelectenerg-3306 127 6 ∈ ∈ PROPN fuelectenerg-3306 127 7 { { PUNCT fuelectenerg-3306 127 8 0 0 NUM fuelectenerg-3306 127 9 , , PUNCT fuelectenerg-3306 127 10 1 1 NUM fuelectenerg-3306 127 11 } } PUNCT fuelectenerg-3306 127 12 in in ADP fuelectenerg-3306 127 13 binary binary ADJ fuelectenerg-3306 127 14 representation representation NOUN fuelectenerg-3306 127 15 of of ADP fuelectenerg-3306 127 16 i i PRON fuelectenerg-3306 127 17 indicate indicate VERB fuelectenerg-3306 127 18 the the DET fuelectenerg-3306 127 19 presence presence NOUN fuelectenerg-3306 127 20 or or CCONJ fuelectenerg-3306 127 21 absence absence NOUN fuelectenerg-3306 127 22 of of ADP fuelectenerg-3306 127 23 a a DET fuelectenerg-3306 127 24 variable variable ADJ fuelectenerg-3306 127 25 xk xk NOUN fuelectenerg-3306 127 26 in in ADP fuelectenerg-3306 127 27 the the DET fuelectenerg-3306 127 28 product product NOUN fuelectenerg-3306 127 29 term term NOUN fuelectenerg-3306 127 30 φi φi ADV fuelectenerg-3306 127 31 , , PUNCT fuelectenerg-3306 127 32 ( ( PUNCT fuelectenerg-3306 127 33 x x SYM fuelectenerg-3306 127 34 1 1 NUM fuelectenerg-3306 127 35 k k NOUN fuelectenerg-3306 127 36 = = SYM fuelectenerg-3306 127 37 xk xk PROPN fuelectenerg-3306 127 38 , , PUNCT fuelectenerg-3306 127 39 x x PROPN fuelectenerg-3306 127 40 0 0 PUNCT fuelectenerg-3306 127 41 k k NOUN fuelectenerg-3306 127 42 = = NOUN fuelectenerg-3306 127 43 1 1 NUM fuelectenerg-3306 127 44 ) ) PUNCT fuelectenerg-3306 127 45 . . PUNCT fuelectenerg-3306 128 1 the the DET fuelectenerg-3306 128 2 symbol symbol NOUN fuelectenerg-3306 128 3 ⊕ ⊕ PROPN fuelectenerg-3306 128 4 denotes denote VERB fuelectenerg-3306 128 5 the the DET fuelectenerg-3306 128 6 exor exor PROPN fuelectenerg-3306 128 7 operation operation NOUN fuelectenerg-3306 128 8 , , PUNCT fuelectenerg-3306 128 9 and and CCONJ fuelectenerg-3306 128 10 multiplication multiplication NOUN fuelectenerg-3306 128 11 is be AUX fuelectenerg-3306 128 12 assumed assume VERB fuelectenerg-3306 128 13 to to PART fuelectenerg-3306 128 14 be be AUX fuelectenerg-3306 128 15 the the PRON fuelectenerg-3306 128 16 and and CCONJ fuelectenerg-3306 128 17 operation operation NOUN fuelectenerg-3306 128 18 . . PUNCT fuelectenerg-3306 129 1 the the DET fuelectenerg-3306 129 2 algebraic algebraic ADJ fuelectenerg-3306 129 3 degree degree NOUN fuelectenerg-3306 129 4 or or CCONJ fuelectenerg-3306 129 5 the the DET fuelectenerg-3306 129 6 order order NOUN fuelectenerg-3306 129 7 of of ADP fuelectenerg-3306 129 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 129 9 of of ADP fuelectenerg-3306 129 10 f f PROPN fuelectenerg-3306 129 11 is be AUX fuelectenerg-3306 129 12 the the DET fuelectenerg-3306 129 13 maximum maximum ADJ fuelectenerg-3306 129 14 number number NOUN fuelectenerg-3306 129 15 of of ADP fuelectenerg-3306 129 16 variables variable NOUN fuelectenerg-3306 129 17 in in ADP fuelectenerg-3306 129 18 a a DET fuelectenerg-3306 129 19 product product NOUN fuelectenerg-3306 129 20 term term NOUN fuelectenerg-3306 129 21 related relate VERB fuelectenerg-3306 129 22 with with ADP fuelectenerg-3306 129 23 a a DET fuelectenerg-3306 129 24 non non ADJ fuelectenerg-3306 129 25 - - ADJ fuelectenerg-3306 129 26 zero zero ADJ fuelectenerg-3306 129 27 coefficient coefficient NOUN fuelectenerg-3306 129 28 si si PROPN fuelectenerg-3306 129 29 . . PUNCT fuelectenerg-3306 130 1 the the DET fuelectenerg-3306 130 2 positive positive ADJ fuelectenerg-3306 130 3 polarity polarity NOUN fuelectenerg-3306 130 4 rm rm PROPN fuelectenerg-3306 130 5 coefficients coefficient NOUN fuelectenerg-3306 130 6 are be AUX fuelectenerg-3306 130 7 divided divide VERB fuelectenerg-3306 130 8 into into ADP fuelectenerg-3306 130 9 groups group NOUN fuelectenerg-3306 130 10 according accord VERB fuelectenerg-3306 130 11 to to ADP fuelectenerg-3306 130 12 the the DET fuelectenerg-3306 130 13 number number NOUN fuelectenerg-3306 130 14 of of ADP fuelectenerg-3306 130 15 ones one NOUN fuelectenerg-3306 130 16 in in ADP fuelectenerg-3306 130 17 the the DET fuelectenerg-3306 130 18 binary binary ADJ fuelectenerg-3306 130 19 representation representation NOUN fuelectenerg-3306 130 20 of of ADP fuelectenerg-3306 130 21 their their PRON fuelectenerg-3306 130 22 indices index NOUN fuelectenerg-3306 130 23 . . PUNCT fuelectenerg-3306 131 1 for for ADP fuelectenerg-3306 131 2 example example NOUN fuelectenerg-3306 131 3 , , PUNCT fuelectenerg-3306 131 4 coefficients coefficient NOUN fuelectenerg-3306 131 5 of of ADP fuelectenerg-3306 131 6 the the DET fuelectenerg-3306 131 7 first first ADJ fuelectenerg-3306 131 8 order order NOUN fuelectenerg-3306 131 9 are be AUX fuelectenerg-3306 131 10 s1 s1 NOUN fuelectenerg-3306 131 11 , , PUNCT fuelectenerg-3306 131 12 s2 s2 PROPN fuelectenerg-3306 131 13 , , PUNCT fuelectenerg-3306 131 14 s4 s4 PROPN fuelectenerg-3306 131 15 , , PUNCT fuelectenerg-3306 131 16 s8 s8 NOUN fuelectenerg-3306 131 17 . . PUNCT fuelectenerg-3306 131 18 . . PUNCT fuelectenerg-3306 132 1 .. .. PUNCT fuelectenerg-3306 132 2 coefficients coefficient NOUN fuelectenerg-3306 132 3 of of ADP fuelectenerg-3306 132 4 the the DET fuelectenerg-3306 132 5 second second ADJ fuelectenerg-3306 132 6 order order NOUN fuelectenerg-3306 132 7 are be AUX fuelectenerg-3306 132 8 assigned assign VERB fuelectenerg-3306 132 9 to to ADP fuelectenerg-3306 132 10 product product NOUN fuelectenerg-3306 132 11 terms term NOUN fuelectenerg-3306 132 12 consisting consist VERB fuelectenerg-3306 132 13 of of ADP fuelectenerg-3306 132 14 two two NUM fuelectenerg-3306 132 15 variables variable NOUN fuelectenerg-3306 132 16 . . PUNCT fuelectenerg-3306 133 1 the the DET fuelectenerg-3306 133 2 third third ADJ fuelectenerg-3306 133 3 order order NOUN fuelectenerg-3306 133 4 coefficients coefficient NOUN fuelectenerg-3306 133 5 correspond correspond VERB fuelectenerg-3306 133 6 to to ADP fuelectenerg-3306 133 7 product product NOUN fuelectenerg-3306 133 8 of of ADP fuelectenerg-3306 133 9 three three NUM fuelectenerg-3306 133 10 variables variable NOUN fuelectenerg-3306 133 11 and and CCONJ fuelectenerg-3306 133 12 so so ADV fuelectenerg-3306 133 13 forth forth ADV fuelectenerg-3306 133 14 , , PUNCT fuelectenerg-3306 133 15 until until ADP fuelectenerg-3306 133 16 the the DET fuelectenerg-3306 133 17 coefficient coefficient NOUN fuelectenerg-3306 133 18 of of ADP fuelectenerg-3306 133 19 order order NOUN fuelectenerg-3306 133 20 n n CCONJ fuelectenerg-3306 133 21 related relate VERB fuelectenerg-3306 133 22 to to ADP fuelectenerg-3306 133 23 the the DET fuelectenerg-3306 133 24 last last ADJ fuelectenerg-3306 133 25 product product NOUN fuelectenerg-3306 133 26 term term NOUN fuelectenerg-3306 133 27 x1x2 x1x2 X fuelectenerg-3306 133 28 . . PUNCT fuelectenerg-3306 133 29 . . PUNCT fuelectenerg-3306 133 30 . . PUNCT fuelectenerg-3306 134 1 xn xn X fuelectenerg-3306 134 2 . . PUNCT fuelectenerg-3306 135 1 definition definition NOUN fuelectenerg-3306 135 2 1 1 NUM fuelectenerg-3306 135 3 in in ADP fuelectenerg-3306 135 4 matrix matrix NOUN fuelectenerg-3306 135 5 notation notation NOUN fuelectenerg-3306 135 6 , , PUNCT fuelectenerg-3306 135 7 if if SCONJ fuelectenerg-3306 135 8 a a DET fuelectenerg-3306 135 9 function function NOUN fuelectenerg-3306 135 10 f f PROPN fuelectenerg-3306 135 11 and and CCONJ fuelectenerg-3306 135 12 its its PRON fuelectenerg-3306 135 13 rm rm NOUN fuelectenerg-3306 135 14 spectrum spectrum NOUN fuelectenerg-3306 135 15 sf sf NOUN fuelectenerg-3306 135 16 are be AUX fuelectenerg-3306 135 17 represented represent VERB fuelectenerg-3306 135 18 by by ADP fuelectenerg-3306 135 19 vectors vector NOUN fuelectenerg-3306 136 1 f f NOUN fuelectenerg-3306 136 2 = = PUNCT fuelectenerg-3306 137 1 [ [ X fuelectenerg-3306 137 2 f0 f0 PROPN fuelectenerg-3306 137 3 , , PUNCT fuelectenerg-3306 137 4 f1 f1 NOUN fuelectenerg-3306 137 5 , , PUNCT fuelectenerg-3306 137 6 . . PUNCT fuelectenerg-3306 137 7 . . PUNCT fuelectenerg-3306 138 1 . . PUNCT fuelectenerg-3306 139 1 , , PUNCT fuelectenerg-3306 139 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 139 3 ] ] X fuelectenerg-3306 139 4 t t PROPN fuelectenerg-3306 139 5 and and CCONJ fuelectenerg-3306 139 6 sf sf NOUN fuelectenerg-3306 139 7 = = PUNCT fuelectenerg-3306 140 1 [ [ X fuelectenerg-3306 140 2 s0 s0 PROPN fuelectenerg-3306 140 3 , , PUNCT fuelectenerg-3306 140 4 s1 s1 NOUN fuelectenerg-3306 140 5 , , PUNCT fuelectenerg-3306 140 6 . . PUNCT fuelectenerg-3306 140 7 . . PUNCT fuelectenerg-3306 141 1 . . PUNCT fuelectenerg-3306 142 1 , , PUNCT fuelectenerg-3306 142 2 s2n−1 s2n−1 PROPN fuelectenerg-3306 142 3 ] ] PUNCT fuelectenerg-3306 142 4 t t NOUN fuelectenerg-3306 142 5 respectively respectively ADV fuelectenerg-3306 142 6 , , PUNCT fuelectenerg-3306 142 7 the the DET fuelectenerg-3306 142 8 positive positive ADJ fuelectenerg-3306 142 9 polarity polarity NOUN fuelectenerg-3306 142 10 rm rm NOUN fuelectenerg-3306 142 11 transform transform NOUN fuelectenerg-3306 142 12 is be AUX fuelectenerg-3306 142 13 defined define VERB fuelectenerg-3306 142 14 by by ADP fuelectenerg-3306 142 15 the the DET fuelectenerg-3306 142 16 positive positive ADJ fuelectenerg-3306 142 17 polarity polarity NOUN fuelectenerg-3306 142 18 rm rm NOUN fuelectenerg-3306 142 19 matrix matrix NOUN fuelectenerg-3306 142 20 rm(n rm(n NOUN fuelectenerg-3306 142 21 ) ) PUNCT fuelectenerg-3306 143 1 [ [ X fuelectenerg-3306 143 2 6 6 NUM fuelectenerg-3306 143 3 ] ] PUNCT fuelectenerg-3306 143 4 : : PUNCT fuelectenerg-3306 143 5 sf sf NOUN fuelectenerg-3306 143 6 = = PUNCT fuelectenerg-3306 143 7 r(n)f r(n)f PROPN fuelectenerg-3306 143 8 , , PUNCT fuelectenerg-3306 143 9 ( ( PUNCT fuelectenerg-3306 143 10 3 3 X fuelectenerg-3306 143 11 ) ) PUNCT fuelectenerg-3306 143 12 where where SCONJ fuelectenerg-3306 143 13 , , PUNCT fuelectenerg-3306 143 14 r(n r(n PROPN fuelectenerg-3306 143 15 ) ) PUNCT fuelectenerg-3306 143 16 = = SYM fuelectenerg-3306 144 1 n n NUM fuelectenerg-3306 144 2 ⊗ ⊗ PROPN fuelectenerg-3306 144 3 i=1 i=1 PROPN fuelectenerg-3306 144 4 r(1 r(1 PROPN fuelectenerg-3306 144 5 ) ) PUNCT fuelectenerg-3306 144 6 , , PUNCT fuelectenerg-3306 144 7 ( ( PUNCT fuelectenerg-3306 144 8 4 4 X fuelectenerg-3306 144 9 ) ) PUNCT fuelectenerg-3306 144 10 construction construction NOUN fuelectenerg-3306 144 11 of of ADP fuelectenerg-3306 144 12 subsets subset NOUN fuelectenerg-3306 144 13 of of ADP fuelectenerg-3306 144 14 bent bent ADJ fuelectenerg-3306 144 15 functions function NOUN fuelectenerg-3306 144 16 satisfying satisfy VERB fuelectenerg-3306 144 17 restrictions restriction NOUN fuelectenerg-3306 144 18 ... ... PUNCT fuelectenerg-3306 145 1 3 3 NUM fuelectenerg-3306 145 2 the the DET fuelectenerg-3306 145 3 anf anf NOUN fuelectenerg-3306 145 4 as as ADP fuelectenerg-3306 145 5 the the DET fuelectenerg-3306 145 6 binary binary PROPN fuelectenerg-3306 145 7 coefficient coefficient PROPN fuelectenerg-3306 145 8 vector vector PROPN fuelectenerg-3306 145 9 , , PUNCT fuelectenerg-3306 145 10 known know VERB fuelectenerg-3306 145 11 as as ADP fuelectenerg-3306 145 12 the the DET fuelectenerg-3306 145 13 positive positive ADJ fuelectenerg-3306 145 14 polarity polarity NOUN fuelectenerg-3306 145 15 reed reed NOUN fuelectenerg-3306 145 16 - - PUNCT fuelectenerg-3306 145 17 muller muller PROPN fuelectenerg-3306 145 18 spectrum spectrum NOUN fuelectenerg-3306 145 19 . . PUNCT fuelectenerg-3306 146 1 therefore therefore ADV fuelectenerg-3306 146 2 in in ADP fuelectenerg-3306 146 3 switching switch VERB fuelectenerg-3306 146 4 theory theory NOUN fuelectenerg-3306 146 5 , , PUNCT fuelectenerg-3306 146 6 logic logic NOUN fuelectenerg-3306 146 7 design design NOUN fuelectenerg-3306 146 8 , , PUNCT fuelectenerg-3306 146 9 signal signal NOUN fuelectenerg-3306 146 10 processing processing NOUN fuelectenerg-3306 146 11 and and CCONJ fuelectenerg-3306 146 12 related related ADJ fuelectenerg-3306 146 13 areas area NOUN fuelectenerg-3306 146 14 , , PUNCT fuelectenerg-3306 146 15 the the DET fuelectenerg-3306 146 16 anf anf NOUN fuelectenerg-3306 146 17 is be AUX fuelectenerg-3306 146 18 also also ADV fuelectenerg-3306 146 19 called call VERB fuelectenerg-3306 146 20 positive positive ADJ fuelectenerg-3306 146 21 polarity polarity NOUN fuelectenerg-3306 146 22 reedmuller reedmuller VERB fuelectenerg-3306 146 23 normal normal ADJ fuelectenerg-3306 146 24 form form NOUN fuelectenerg-3306 146 25 . . PUNCT fuelectenerg-3306 147 1 any any DET fuelectenerg-3306 147 2 boolean boolean ADJ fuelectenerg-3306 147 3 function function NOUN fuelectenerg-3306 147 4 of of ADP fuelectenerg-3306 147 5 n n DET fuelectenerg-3306 147 6 variables variable NOUN fuelectenerg-3306 147 7 can can AUX fuelectenerg-3306 147 8 be be AUX fuelectenerg-3306 147 9 expressed express VERB fuelectenerg-3306 147 10 in in ADP fuelectenerg-3306 147 11 the the DET fuelectenerg-3306 147 12 positive positive ADJ fuelectenerg-3306 147 13 polarity polarity NOUN fuelectenerg-3306 147 14 reed reed NOUN fuelectenerg-3306 147 15 - - PUNCT fuelectenerg-3306 147 16 muller muller NOUN fuelectenerg-3306 147 17 form form NOUN fuelectenerg-3306 147 18 or or CCONJ fuelectenerg-3306 147 19 algebraic algebraic ADJ fuelectenerg-3306 147 20 normal normal ADJ fuelectenerg-3306 147 21 form form NOUN fuelectenerg-3306 147 22 as as ADP fuelectenerg-3306 147 23 [ [ X fuelectenerg-3306 147 24 6 6 NUM fuelectenerg-3306 147 25 ] ] X fuelectenerg-3306 147 26 : : PUNCT fuelectenerg-3306 147 27 f(x1 f(x1 ADJ fuelectenerg-3306 147 28 , , PUNCT fuelectenerg-3306 147 29 x2 x2 PROPN fuelectenerg-3306 147 30 , , PUNCT fuelectenerg-3306 147 31 . . PUNCT fuelectenerg-3306 147 32 . . PUNCT fuelectenerg-3306 147 33 . . PUNCT fuelectenerg-3306 148 1 , , PUNCT fuelectenerg-3306 148 2 xn xn X fuelectenerg-3306 148 3 ) ) PUNCT fuelectenerg-3306 148 4 = = SYM fuelectenerg-3306 148 5 n n NUM fuelectenerg-3306 148 6 ⊕ ⊕ PROPN fuelectenerg-3306 148 7 i=1 i=1 PROPN fuelectenerg-3306 149 1 siφi siφi PROPN fuelectenerg-3306 149 2 , , PUNCT fuelectenerg-3306 149 3 ( ( PUNCT fuelectenerg-3306 149 4 1 1 X fuelectenerg-3306 149 5 ) ) PUNCT fuelectenerg-3306 149 6 where where SCONJ fuelectenerg-3306 149 7 , , PUNCT fuelectenerg-3306 149 8 φi φi ADP fuelectenerg-3306 149 9 = = PROPN fuelectenerg-3306 149 10 n−1 n−1 PROPN fuelectenerg-3306 149 11 ∏ ∏ PROPN fuelectenerg-3306 149 12 k=0 k=0 X fuelectenerg-3306 149 13 ( ( PUNCT fuelectenerg-3306 149 14 xk xk PROPN fuelectenerg-3306 149 15 ) ) PUNCT fuelectenerg-3306 149 16 ik ik PROPN fuelectenerg-3306 149 17 , , PUNCT fuelectenerg-3306 149 18 ( ( PUNCT fuelectenerg-3306 149 19 2 2 X fuelectenerg-3306 149 20 ) ) PUNCT fuelectenerg-3306 149 21 where where SCONJ fuelectenerg-3306 149 22 xk xk PROPN fuelectenerg-3306 149 23 is be AUX fuelectenerg-3306 149 24 a a DET fuelectenerg-3306 149 25 variable variable NOUN fuelectenerg-3306 149 26 that that PRON fuelectenerg-3306 149 27 may may AUX fuelectenerg-3306 149 28 assume assume VERB fuelectenerg-3306 149 29 either either CCONJ fuelectenerg-3306 149 30 0 0 NUM fuelectenerg-3306 149 31 or or CCONJ fuelectenerg-3306 149 32 1 1 NUM fuelectenerg-3306 149 33 . . PUNCT fuelectenerg-3306 150 1 the the DET fuelectenerg-3306 150 2 values value NOUN fuelectenerg-3306 150 3 si si X fuelectenerg-3306 150 4 ∈ ∈ PROPN fuelectenerg-3306 150 5 { { PUNCT fuelectenerg-3306 150 6 0 0 NUM fuelectenerg-3306 150 7 , , PUNCT fuelectenerg-3306 150 8 1 1 NUM fuelectenerg-3306 150 9 } } PUNCT fuelectenerg-3306 150 10 , , PUNCT fuelectenerg-3306 150 11 also also ADV fuelectenerg-3306 150 12 known know VERB fuelectenerg-3306 150 13 as as ADP fuelectenerg-3306 150 14 the the DET fuelectenerg-3306 150 15 rm rm PROPN fuelectenerg-3306 150 16 spectral spectral ADJ fuelectenerg-3306 150 17 coefficients coefficient NOUN fuelectenerg-3306 150 18 , , PUNCT fuelectenerg-3306 150 19 short short PROPN fuelectenerg-3306 150 20 rm rm NOUN fuelectenerg-3306 150 21 - - PUNCT fuelectenerg-3306 150 22 coefficients coefficient NOUN fuelectenerg-3306 150 23 , , PUNCT fuelectenerg-3306 150 24 determine determine VERB fuelectenerg-3306 150 25 whether whether SCONJ fuelectenerg-3306 150 26 a a DET fuelectenerg-3306 150 27 product product NOUN fuelectenerg-3306 150 28 term term NOUN fuelectenerg-3306 150 29 is be AUX fuelectenerg-3306 150 30 present present ADJ fuelectenerg-3306 150 31 or or CCONJ fuelectenerg-3306 150 32 not not PART fuelectenerg-3306 150 33 in in ADP fuelectenerg-3306 150 34 ( ( PUNCT fuelectenerg-3306 150 35 1 1 NUM fuelectenerg-3306 150 36 ) ) PUNCT fuelectenerg-3306 150 37 . . PUNCT fuelectenerg-3306 151 1 in in ADP fuelectenerg-3306 151 2 addition addition NOUN fuelectenerg-3306 151 3 , , PUNCT fuelectenerg-3306 151 4 coordinates coordinate VERB fuelectenerg-3306 151 5 ik ik PROPN fuelectenerg-3306 151 6 ∈ ∈ PROPN fuelectenerg-3306 151 7 { { PUNCT fuelectenerg-3306 151 8 0 0 NUM fuelectenerg-3306 151 9 , , PUNCT fuelectenerg-3306 151 10 1 1 NUM fuelectenerg-3306 151 11 } } PUNCT fuelectenerg-3306 151 12 in in ADP fuelectenerg-3306 151 13 binary binary ADJ fuelectenerg-3306 151 14 representation representation NOUN fuelectenerg-3306 151 15 of of ADP fuelectenerg-3306 151 16 i i PRON fuelectenerg-3306 151 17 indicate indicate VERB fuelectenerg-3306 151 18 the the DET fuelectenerg-3306 151 19 presence presence NOUN fuelectenerg-3306 151 20 or or CCONJ fuelectenerg-3306 151 21 absence absence NOUN fuelectenerg-3306 151 22 of of ADP fuelectenerg-3306 151 23 a a DET fuelectenerg-3306 151 24 variable variable ADJ fuelectenerg-3306 151 25 xk xk NOUN fuelectenerg-3306 151 26 in in ADP fuelectenerg-3306 151 27 the the DET fuelectenerg-3306 151 28 product product NOUN fuelectenerg-3306 151 29 term term NOUN fuelectenerg-3306 151 30 φi φi ADV fuelectenerg-3306 151 31 , , PUNCT fuelectenerg-3306 151 32 ( ( PUNCT fuelectenerg-3306 151 33 x x SYM fuelectenerg-3306 151 34 1 1 NUM fuelectenerg-3306 151 35 k k NOUN fuelectenerg-3306 151 36 = = SYM fuelectenerg-3306 151 37 xk xk PROPN fuelectenerg-3306 151 38 , , PUNCT fuelectenerg-3306 151 39 x x PROPN fuelectenerg-3306 151 40 0 0 PUNCT fuelectenerg-3306 151 41 k k NOUN fuelectenerg-3306 151 42 = = NOUN fuelectenerg-3306 151 43 1 1 NUM fuelectenerg-3306 151 44 ) ) PUNCT fuelectenerg-3306 151 45 . . PUNCT fuelectenerg-3306 152 1 the the DET fuelectenerg-3306 152 2 symbol symbol NOUN fuelectenerg-3306 152 3 ⊕ ⊕ PROPN fuelectenerg-3306 152 4 denotes denote VERB fuelectenerg-3306 152 5 the the DET fuelectenerg-3306 152 6 exor exor PROPN fuelectenerg-3306 152 7 operation operation NOUN fuelectenerg-3306 152 8 , , PUNCT fuelectenerg-3306 152 9 and and CCONJ fuelectenerg-3306 152 10 multiplication multiplication NOUN fuelectenerg-3306 152 11 is be AUX fuelectenerg-3306 152 12 assumed assume VERB fuelectenerg-3306 152 13 to to PART fuelectenerg-3306 152 14 be be AUX fuelectenerg-3306 152 15 the the PRON fuelectenerg-3306 152 16 and and CCONJ fuelectenerg-3306 152 17 operation operation NOUN fuelectenerg-3306 152 18 . . PUNCT fuelectenerg-3306 153 1 the the DET fuelectenerg-3306 153 2 algebraic algebraic ADJ fuelectenerg-3306 153 3 degree degree NOUN fuelectenerg-3306 153 4 or or CCONJ fuelectenerg-3306 153 5 the the DET fuelectenerg-3306 153 6 order order NOUN fuelectenerg-3306 153 7 of of ADP fuelectenerg-3306 153 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 153 9 of of ADP fuelectenerg-3306 153 10 f f PROPN fuelectenerg-3306 153 11 is be AUX fuelectenerg-3306 153 12 the the DET fuelectenerg-3306 153 13 maximum maximum ADJ fuelectenerg-3306 153 14 number number NOUN fuelectenerg-3306 153 15 of of ADP fuelectenerg-3306 153 16 variables variable NOUN fuelectenerg-3306 153 17 in in ADP fuelectenerg-3306 153 18 a a DET fuelectenerg-3306 153 19 product product NOUN fuelectenerg-3306 153 20 term term NOUN fuelectenerg-3306 153 21 related relate VERB fuelectenerg-3306 153 22 with with ADP fuelectenerg-3306 153 23 a a DET fuelectenerg-3306 153 24 non non ADJ fuelectenerg-3306 153 25 - - ADJ fuelectenerg-3306 153 26 zero zero ADJ fuelectenerg-3306 153 27 coefficient coefficient NOUN fuelectenerg-3306 153 28 si si PROPN fuelectenerg-3306 153 29 . . PUNCT fuelectenerg-3306 154 1 the the DET fuelectenerg-3306 154 2 positive positive ADJ fuelectenerg-3306 154 3 polarity polarity NOUN fuelectenerg-3306 154 4 rm rm PROPN fuelectenerg-3306 154 5 coefficients coefficient NOUN fuelectenerg-3306 154 6 are be AUX fuelectenerg-3306 154 7 divided divide VERB fuelectenerg-3306 154 8 into into ADP fuelectenerg-3306 154 9 groups group NOUN fuelectenerg-3306 154 10 according accord VERB fuelectenerg-3306 154 11 to to ADP fuelectenerg-3306 154 12 the the DET fuelectenerg-3306 154 13 number number NOUN fuelectenerg-3306 154 14 of of ADP fuelectenerg-3306 154 15 ones one NOUN fuelectenerg-3306 154 16 in in ADP fuelectenerg-3306 154 17 the the DET fuelectenerg-3306 154 18 binary binary ADJ fuelectenerg-3306 154 19 representation representation NOUN fuelectenerg-3306 154 20 of of ADP fuelectenerg-3306 154 21 their their PRON fuelectenerg-3306 154 22 indices index NOUN fuelectenerg-3306 154 23 . . PUNCT fuelectenerg-3306 155 1 for for ADP fuelectenerg-3306 155 2 example example NOUN fuelectenerg-3306 155 3 , , PUNCT fuelectenerg-3306 155 4 coefficients coefficient NOUN fuelectenerg-3306 155 5 of of ADP fuelectenerg-3306 155 6 the the DET fuelectenerg-3306 155 7 first first ADJ fuelectenerg-3306 155 8 order order NOUN fuelectenerg-3306 155 9 are be AUX fuelectenerg-3306 155 10 s1 s1 NOUN fuelectenerg-3306 155 11 , , PUNCT fuelectenerg-3306 155 12 s2 s2 PROPN fuelectenerg-3306 155 13 , , PUNCT fuelectenerg-3306 155 14 s4 s4 PROPN fuelectenerg-3306 155 15 , , PUNCT fuelectenerg-3306 155 16 s8 s8 NOUN fuelectenerg-3306 155 17 . . PUNCT fuelectenerg-3306 155 18 . . PUNCT fuelectenerg-3306 156 1 .. .. PUNCT fuelectenerg-3306 156 2 coefficients coefficient NOUN fuelectenerg-3306 156 3 of of ADP fuelectenerg-3306 156 4 the the DET fuelectenerg-3306 156 5 second second ADJ fuelectenerg-3306 156 6 order order NOUN fuelectenerg-3306 156 7 are be AUX fuelectenerg-3306 156 8 assigned assign VERB fuelectenerg-3306 156 9 to to ADP fuelectenerg-3306 156 10 product product NOUN fuelectenerg-3306 156 11 terms term NOUN fuelectenerg-3306 156 12 consisting consist VERB fuelectenerg-3306 156 13 of of ADP fuelectenerg-3306 156 14 two two NUM fuelectenerg-3306 156 15 variables variable NOUN fuelectenerg-3306 156 16 . . PUNCT fuelectenerg-3306 157 1 the the DET fuelectenerg-3306 157 2 third third ADJ fuelectenerg-3306 157 3 order order NOUN fuelectenerg-3306 157 4 coefficients coefficient NOUN fuelectenerg-3306 157 5 correspond correspond VERB fuelectenerg-3306 157 6 to to ADP fuelectenerg-3306 157 7 product product NOUN fuelectenerg-3306 157 8 of of ADP fuelectenerg-3306 157 9 three three NUM fuelectenerg-3306 157 10 variables variable NOUN fuelectenerg-3306 157 11 and and CCONJ fuelectenerg-3306 157 12 so so ADV fuelectenerg-3306 157 13 forth forth ADV fuelectenerg-3306 157 14 , , PUNCT fuelectenerg-3306 157 15 until until ADP fuelectenerg-3306 157 16 the the DET fuelectenerg-3306 157 17 coefficient coefficient NOUN fuelectenerg-3306 157 18 of of ADP fuelectenerg-3306 157 19 order order NOUN fuelectenerg-3306 157 20 n n CCONJ fuelectenerg-3306 157 21 related relate VERB fuelectenerg-3306 157 22 to to ADP fuelectenerg-3306 157 23 the the DET fuelectenerg-3306 157 24 last last ADJ fuelectenerg-3306 157 25 product product NOUN fuelectenerg-3306 157 26 term term NOUN fuelectenerg-3306 157 27 x1x2 x1x2 X fuelectenerg-3306 157 28 . . PUNCT fuelectenerg-3306 157 29 . . PUNCT fuelectenerg-3306 157 30 . . PUNCT fuelectenerg-3306 158 1 xn xn X fuelectenerg-3306 158 2 . . PUNCT fuelectenerg-3306 159 1 definition definition NOUN fuelectenerg-3306 159 2 1 1 NUM fuelectenerg-3306 159 3 in in ADP fuelectenerg-3306 159 4 matrix matrix NOUN fuelectenerg-3306 159 5 notation notation NOUN fuelectenerg-3306 159 6 , , PUNCT fuelectenerg-3306 159 7 if if SCONJ fuelectenerg-3306 159 8 a a DET fuelectenerg-3306 159 9 function function NOUN fuelectenerg-3306 159 10 f f PROPN fuelectenerg-3306 159 11 and and CCONJ fuelectenerg-3306 159 12 its its PRON fuelectenerg-3306 159 13 rm rm NOUN fuelectenerg-3306 159 14 spectrum spectrum NOUN fuelectenerg-3306 159 15 sf sf NOUN fuelectenerg-3306 159 16 are be AUX fuelectenerg-3306 159 17 represented represent VERB fuelectenerg-3306 159 18 by by ADP fuelectenerg-3306 159 19 vectors vector NOUN fuelectenerg-3306 160 1 f f NOUN fuelectenerg-3306 160 2 = = PUNCT fuelectenerg-3306 161 1 [ [ X fuelectenerg-3306 161 2 f0 f0 PROPN fuelectenerg-3306 161 3 , , PUNCT fuelectenerg-3306 161 4 f1 f1 NOUN fuelectenerg-3306 161 5 , , PUNCT fuelectenerg-3306 161 6 . . PUNCT fuelectenerg-3306 161 7 . . PUNCT fuelectenerg-3306 162 1 . . PUNCT fuelectenerg-3306 163 1 , , PUNCT fuelectenerg-3306 163 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 163 3 ] ] X fuelectenerg-3306 163 4 t t PROPN fuelectenerg-3306 163 5 and and CCONJ fuelectenerg-3306 163 6 sf sf NOUN fuelectenerg-3306 163 7 = = PUNCT fuelectenerg-3306 164 1 [ [ X fuelectenerg-3306 164 2 s0 s0 PROPN fuelectenerg-3306 164 3 , , PUNCT fuelectenerg-3306 164 4 s1 s1 NOUN fuelectenerg-3306 164 5 , , PUNCT fuelectenerg-3306 164 6 . . PUNCT fuelectenerg-3306 164 7 . . PUNCT fuelectenerg-3306 165 1 . . PUNCT fuelectenerg-3306 166 1 , , PUNCT fuelectenerg-3306 166 2 s2n−1 s2n−1 PROPN fuelectenerg-3306 166 3 ] ] PUNCT fuelectenerg-3306 166 4 t t NOUN fuelectenerg-3306 166 5 respectively respectively ADV fuelectenerg-3306 166 6 , , PUNCT fuelectenerg-3306 166 7 the the DET fuelectenerg-3306 166 8 positive positive ADJ fuelectenerg-3306 166 9 polarity polarity NOUN fuelectenerg-3306 166 10 rm rm NOUN fuelectenerg-3306 166 11 transform transform NOUN fuelectenerg-3306 166 12 is be AUX fuelectenerg-3306 166 13 defined define VERB fuelectenerg-3306 166 14 by by ADP fuelectenerg-3306 166 15 the the DET fuelectenerg-3306 166 16 positive positive ADJ fuelectenerg-3306 166 17 polarity polarity NOUN fuelectenerg-3306 166 18 rm rm NOUN fuelectenerg-3306 166 19 matrix matrix NOUN fuelectenerg-3306 166 20 rm(n rm(n NOUN fuelectenerg-3306 166 21 ) ) PUNCT fuelectenerg-3306 167 1 [ [ X fuelectenerg-3306 167 2 6 6 NUM fuelectenerg-3306 167 3 ] ] PUNCT fuelectenerg-3306 167 4 : : PUNCT fuelectenerg-3306 167 5 sf sf NOUN fuelectenerg-3306 167 6 = = PUNCT fuelectenerg-3306 167 7 r(n)f r(n)f PROPN fuelectenerg-3306 167 8 , , PUNCT fuelectenerg-3306 167 9 ( ( PUNCT fuelectenerg-3306 167 10 3 3 X fuelectenerg-3306 167 11 ) ) PUNCT fuelectenerg-3306 167 12 where where SCONJ fuelectenerg-3306 167 13 , , PUNCT fuelectenerg-3306 167 14 r(n r(n PROPN fuelectenerg-3306 167 15 ) ) PUNCT fuelectenerg-3306 167 16 = = SYM fuelectenerg-3306 168 1 n n NUM fuelectenerg-3306 168 2 ⊗ ⊗ PROPN fuelectenerg-3306 168 3 i=1 i=1 PROPN fuelectenerg-3306 168 4 r(1 r(1 PROPN fuelectenerg-3306 168 5 ) ) PUNCT fuelectenerg-3306 168 6 , , PUNCT fuelectenerg-3306 168 7 ( ( PUNCT fuelectenerg-3306 168 8 4 4 X fuelectenerg-3306 168 9 ) ) SYM fuelectenerg-3306 168 10 4 4 NUM fuelectenerg-3306 168 11 m. m. NOUN fuelectenerg-3306 168 12 radmanović radmanović PROPN fuelectenerg-3306 168 13 and and CCONJ fuelectenerg-3306 168 14 r. r. PROPN fuelectenerg-3306 168 15 stanković stanković PROPN fuelectenerg-3306 168 16 and and CCONJ fuelectenerg-3306 168 17 r(1 r(1 PROPN fuelectenerg-3306 168 18 ) ) PUNCT fuelectenerg-3306 169 1 = = PUNCT fuelectenerg-3306 169 2 [ [ PUNCT fuelectenerg-3306 169 3 1 1 NUM fuelectenerg-3306 169 4 0 0 NUM fuelectenerg-3306 169 5 1 1 NUM fuelectenerg-3306 169 6 1 1 NUM fuelectenerg-3306 169 7 ] ] PUNCT fuelectenerg-3306 169 8 ( ( PUNCT fuelectenerg-3306 169 9 5 5 X fuelectenerg-3306 169 10 ) ) PUNCT fuelectenerg-3306 169 11 is be AUX fuelectenerg-3306 169 12 the the DET fuelectenerg-3306 169 13 basic basic ADJ fuelectenerg-3306 169 14 positive positive ADJ fuelectenerg-3306 169 15 reed reed NOUN fuelectenerg-3306 169 16 - - PUNCT fuelectenerg-3306 169 17 muller muller NOUN fuelectenerg-3306 169 18 transform transform NOUN fuelectenerg-3306 169 19 matrix matrix NOUN fuelectenerg-3306 169 20 . . PUNCT fuelectenerg-3306 170 1 note note VERB fuelectenerg-3306 170 2 that that SCONJ fuelectenerg-3306 170 3 rm(1 rm(1 VERB fuelectenerg-3306 170 4 ) ) PUNCT fuelectenerg-3306 170 5 and and CCONJ fuelectenerg-3306 170 6 , , PUNCT fuelectenerg-3306 170 7 therefore therefore ADV fuelectenerg-3306 170 8 , , PUNCT fuelectenerg-3306 170 9 also also ADV fuelectenerg-3306 170 10 rm(n rm(n X fuelectenerg-3306 170 11 ) ) PUNCT fuelectenerg-3306 170 12 is be AUX fuelectenerg-3306 170 13 a a DET fuelectenerg-3306 170 14 self self NOUN fuelectenerg-3306 170 15 - - PUNCT fuelectenerg-3306 170 16 inverse inverse NOUN fuelectenerg-3306 170 17 matrix matrix NOUN fuelectenerg-3306 170 18 . . PUNCT fuelectenerg-3306 171 1 the the DET fuelectenerg-3306 171 2 kornecker kornecker PROPN fuelectenerg-3306 171 3 product product NOUN fuelectenerg-3306 171 4 used use VERB fuelectenerg-3306 171 5 in in ADP fuelectenerg-3306 171 6 ( ( PUNCT fuelectenerg-3306 171 7 4 4 X fuelectenerg-3306 171 8 ) ) PUNCT fuelectenerg-3306 171 9 determines determine VERB fuelectenerg-3306 171 10 the the DET fuelectenerg-3306 171 11 so so ADV fuelectenerg-3306 171 12 - - PUNCT fuelectenerg-3306 171 13 called call VERB fuelectenerg-3306 171 14 hadamard hadamard ADJ fuelectenerg-3306 171 15 order order NOUN fuelectenerg-3306 171 16 of of ADP fuelectenerg-3306 171 17 the the DET fuelectenerg-3306 171 18 rm rm NOUN fuelectenerg-3306 171 19 - - PUNCT fuelectenerg-3306 171 20 coefficients coefficient NOUN fuelectenerg-3306 171 21 which which PRON fuelectenerg-3306 171 22 will will AUX fuelectenerg-3306 171 23 be be AUX fuelectenerg-3306 171 24 used use VERB fuelectenerg-3306 171 25 in in ADP fuelectenerg-3306 171 26 the the DET fuelectenerg-3306 171 27 following follow VERB fuelectenerg-3306 171 28 considerations consideration NOUN fuelectenerg-3306 171 29 . . PUNCT fuelectenerg-3306 172 1 when when SCONJ fuelectenerg-3306 172 2 the the DET fuelectenerg-3306 172 3 order order NOUN fuelectenerg-3306 172 4 of of ADP fuelectenerg-3306 172 5 coefficients coefficient NOUN fuelectenerg-3306 172 6 is be AUX fuelectenerg-3306 172 7 specified specify VERB fuelectenerg-3306 172 8 , , PUNCT fuelectenerg-3306 172 9 then then ADV fuelectenerg-3306 172 10 the the DET fuelectenerg-3306 172 11 position position NOUN fuelectenerg-3306 172 12 of of ADP fuelectenerg-3306 172 13 each each DET fuelectenerg-3306 172 14 coefficient coefficient NOUN fuelectenerg-3306 172 15 in in ADP fuelectenerg-3306 172 16 the the DET fuelectenerg-3306 172 17 rm rm NOUN fuelectenerg-3306 172 18 - - PUNCT fuelectenerg-3306 172 19 spectrum spectrum NOUN fuelectenerg-3306 172 20 is be AUX fuelectenerg-3306 172 21 uniquely uniquely ADV fuelectenerg-3306 172 22 determined determined ADJ fuelectenerg-3306 172 23 . . PUNCT fuelectenerg-3306 173 1 this this DET fuelectenerg-3306 173 2 property property NOUN fuelectenerg-3306 173 3 will will AUX fuelectenerg-3306 173 4 be be AUX fuelectenerg-3306 173 5 used use VERB fuelectenerg-3306 173 6 to to PART fuelectenerg-3306 173 7 define define VERB fuelectenerg-3306 173 8 restrictions restriction NOUN fuelectenerg-3306 173 9 reducing reduce VERB fuelectenerg-3306 173 10 the the DET fuelectenerg-3306 173 11 search search NOUN fuelectenerg-3306 173 12 space space NOUN fuelectenerg-3306 173 13 for for ADP fuelectenerg-3306 173 14 bent bent ADJ fuelectenerg-3306 173 15 functions function NOUN fuelectenerg-3306 173 16 . . PUNCT fuelectenerg-3306 174 1 definition definition NOUN fuelectenerg-3306 174 2 2 2 NUM fuelectenerg-3306 174 3 the the DET fuelectenerg-3306 174 4 function function NOUN fuelectenerg-3306 174 5 f f PROPN fuelectenerg-3306 174 6 is be AUX fuelectenerg-3306 174 7 reconstructed reconstruct VERB fuelectenerg-3306 174 8 from from ADP fuelectenerg-3306 174 9 its its PRON fuelectenerg-3306 174 10 rm rm NOUN fuelectenerg-3306 174 11 spectrum spectrum NOUN fuelectenerg-3306 174 12 as as ADP fuelectenerg-3306 174 13 : : PUNCT fuelectenerg-3306 174 14 f(x1 f(x1 ADJ fuelectenerg-3306 174 15 , , PUNCT fuelectenerg-3306 174 16 x2 x2 PROPN fuelectenerg-3306 174 17 , , PUNCT fuelectenerg-3306 174 18 . . PUNCT fuelectenerg-3306 174 19 . . PUNCT fuelectenerg-3306 175 1 . . PUNCT fuelectenerg-3306 176 1 , , PUNCT fuelectenerg-3306 176 2 xn xn X fuelectenerg-3306 176 3 ) ) PUNCT fuelectenerg-3306 176 4 = = SYM fuelectenerg-3306 176 5 x(n)sf x(n)sf PROPN fuelectenerg-3306 176 6 , , PUNCT fuelectenerg-3306 176 7 ( ( PUNCT fuelectenerg-3306 176 8 6 6 NUM fuelectenerg-3306 176 9 ) ) PUNCT fuelectenerg-3306 176 10 where where SCONJ fuelectenerg-3306 176 11 x(n x(n NOUN fuelectenerg-3306 176 12 ) ) PUNCT fuelectenerg-3306 176 13 = = SYM fuelectenerg-3306 177 1 n n NUM fuelectenerg-3306 178 1 ⊗ ⊗ NOUN fuelectenerg-3306 178 2 i=1 i=1 X fuelectenerg-3306 179 1 [ [ PUNCT fuelectenerg-3306 179 2 1 1 NUM fuelectenerg-3306 179 3 xi xi X fuelectenerg-3306 179 4 ] ] PUNCT fuelectenerg-3306 179 5 . . PUNCT fuelectenerg-3306 180 1 ( ( PUNCT fuelectenerg-3306 180 2 7 7 X fuelectenerg-3306 180 3 ) ) PUNCT fuelectenerg-3306 180 4 2.2 2.2 NUM fuelectenerg-3306 180 5 walsh walsh NOUN fuelectenerg-3306 180 6 transform transform NOUN fuelectenerg-3306 180 7 definition definition NOUN fuelectenerg-3306 180 8 3 3 NUM fuelectenerg-3306 180 9 for for ADP fuelectenerg-3306 180 10 a a DET fuelectenerg-3306 180 11 boolean boolean ADJ fuelectenerg-3306 180 12 function function NOUN fuelectenerg-3306 180 13 f f PROPN fuelectenerg-3306 180 14 in in ADP fuelectenerg-3306 180 15 ( ( PUNCT fuelectenerg-3306 180 16 1,−1 1,−1 X fuelectenerg-3306 180 17 ) ) PUNCT fuelectenerg-3306 180 18 encoding encoding NOUN fuelectenerg-3306 180 19 defined define VERB fuelectenerg-3306 180 20 by by ADP fuelectenerg-3306 180 21 the the DET fuelectenerg-3306 180 22 truth truth NOUN fuelectenerg-3306 180 23 - - PUNCT fuelectenerg-3306 180 24 vector vector NOUN fuelectenerg-3306 180 25 f f NOUN fuelectenerg-3306 180 26 = = PUNCT fuelectenerg-3306 181 1 [ [ X fuelectenerg-3306 181 2 f0 f0 PROPN fuelectenerg-3306 181 3 , , PUNCT fuelectenerg-3306 181 4 f1 f1 NOUN fuelectenerg-3306 181 5 , , PUNCT fuelectenerg-3306 181 6 . . PUNCT fuelectenerg-3306 181 7 . . PUNCT fuelectenerg-3306 182 1 . . PUNCT fuelectenerg-3306 183 1 , , PUNCT fuelectenerg-3306 183 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 183 3 ] ] X fuelectenerg-3306 183 4 t t NOUN fuelectenerg-3306 183 5 , , PUNCT fuelectenerg-3306 183 6 the the DET fuelectenerg-3306 183 7 walsh walsh PROPN fuelectenerg-3306 183 8 spectrum spectrum PROPN fuelectenerg-3306 183 9 sf sf PROPN fuelectenerg-3306 183 10 , , PUNCT fuelectenerg-3306 183 11 w w NOUN fuelectenerg-3306 184 1 = = PUNCT fuelectenerg-3306 185 1 [ [ X fuelectenerg-3306 185 2 r0 r0 NOUN fuelectenerg-3306 185 3 , , PUNCT fuelectenerg-3306 185 4 r1 r1 NOUN fuelectenerg-3306 185 5 , , PUNCT fuelectenerg-3306 185 6 . . PUNCT fuelectenerg-3306 185 7 . . PUNCT fuelectenerg-3306 186 1 . . PUNCT fuelectenerg-3306 187 1 , , PUNCT fuelectenerg-3306 187 2 r2n−1 r2n−1 PROPN fuelectenerg-3306 187 3 ] ] PUNCT fuelectenerg-3306 187 4 t t PROPN fuelectenerg-3306 187 5 is be AUX fuelectenerg-3306 187 6 defined define VERB fuelectenerg-3306 187 7 as as ADP fuelectenerg-3306 187 8 [ [ X fuelectenerg-3306 187 9 ? ? PUNCT fuelectenerg-3306 188 1 ] ] X fuelectenerg-3306 188 2 : : PUNCT fuelectenerg-3306 188 3 sf sf X fuelectenerg-3306 188 4 , , PUNCT fuelectenerg-3306 188 5 w w PROPN fuelectenerg-3306 188 6 = = SYM fuelectenerg-3306 188 7 w w PROPN fuelectenerg-3306 188 8 ( ( PUNCT fuelectenerg-3306 188 9 n)f n)f NOUN fuelectenerg-3306 188 10 , , PUNCT fuelectenerg-3306 188 11 ( ( PUNCT fuelectenerg-3306 188 12 8) 8) NUM fuelectenerg-3306 188 13 where where SCONJ fuelectenerg-3306 188 14 , , PUNCT fuelectenerg-3306 188 15 w w PROPN fuelectenerg-3306 188 16 ( ( PUNCT fuelectenerg-3306 188 17 n n CCONJ fuelectenerg-3306 188 18 ) ) PUNCT fuelectenerg-3306 188 19 = = SYM fuelectenerg-3306 189 1 n n PROPN fuelectenerg-3306 190 1 ⊗ ⊗ PROPN fuelectenerg-3306 190 2 i=1 i=1 PROPN fuelectenerg-3306 191 1 w w PROPN fuelectenerg-3306 191 2 ( ( PUNCT fuelectenerg-3306 191 3 1 1 NUM fuelectenerg-3306 191 4 ) ) PUNCT fuelectenerg-3306 191 5 , , PUNCT fuelectenerg-3306 191 6 ( ( PUNCT fuelectenerg-3306 191 7 9 9 X fuelectenerg-3306 191 8 ) ) PUNCT fuelectenerg-3306 191 9 where where SCONJ fuelectenerg-3306 191 10 , , PUNCT fuelectenerg-3306 191 11 w w PROPN fuelectenerg-3306 191 12 ( ( PUNCT fuelectenerg-3306 191 13 1 1 NUM fuelectenerg-3306 191 14 ) ) PUNCT fuelectenerg-3306 191 15 = = NOUN fuelectenerg-3306 192 1 [ [ PUNCT fuelectenerg-3306 192 2 1 1 NUM fuelectenerg-3306 192 3 1 1 NUM fuelectenerg-3306 192 4 1 1 NUM fuelectenerg-3306 192 5 −1 −1 NOUN fuelectenerg-3306 192 6 ] ] PUNCT fuelectenerg-3306 192 7 ( ( PUNCT fuelectenerg-3306 192 8 10 10 NUM fuelectenerg-3306 192 9 ) ) PUNCT fuelectenerg-3306 192 10 is be AUX fuelectenerg-3306 192 11 the the DET fuelectenerg-3306 192 12 basic basic ADJ fuelectenerg-3306 192 13 walsh walsh NOUN fuelectenerg-3306 192 14 transform transform NOUN fuelectenerg-3306 192 15 matrix matrix NOUN fuelectenerg-3306 192 16 . . PUNCT fuelectenerg-3306 193 1 2.3 2.3 NUM fuelectenerg-3306 193 2 bent bent ADJ fuelectenerg-3306 193 3 functions function NOUN fuelectenerg-3306 193 4 for for ADP fuelectenerg-3306 193 5 the the DET fuelectenerg-3306 193 6 case case NOUN fuelectenerg-3306 193 7 of of ADP fuelectenerg-3306 193 8 even even ADV fuelectenerg-3306 193 9 number number NOUN fuelectenerg-3306 193 10 of of ADP fuelectenerg-3306 193 11 variables variable NOUN fuelectenerg-3306 193 12 , , PUNCT fuelectenerg-3306 193 13 there there PRON fuelectenerg-3306 193 14 is be VERB fuelectenerg-3306 193 15 a a DET fuelectenerg-3306 193 16 class class NOUN fuelectenerg-3306 193 17 of of ADP fuelectenerg-3306 193 18 boolean boolean ADJ fuelectenerg-3306 193 19 functions function NOUN fuelectenerg-3306 193 20 introduced introduce VERB fuelectenerg-3306 193 21 by by ADP fuelectenerg-3306 193 22 o. o. PROPN fuelectenerg-3306 193 23 rothaus rothaus PROPN fuelectenerg-3306 193 24 achieving achieve VERB fuelectenerg-3306 193 25 maximum maximum ADJ fuelectenerg-3306 193 26 nonlinearity nonlinearity NOUN fuelectenerg-3306 193 27 , , PUNCT fuelectenerg-3306 193 28 the the DET fuelectenerg-3306 193 29 so so ADV fuelectenerg-3306 193 30 - - PUNCT fuelectenerg-3306 193 31 called call VERB fuelectenerg-3306 193 32 bent bent ADJ fuelectenerg-3306 193 33 functions function NOUN fuelectenerg-3306 193 34 , , PUNCT fuelectenerg-3306 193 35 figurative figurative ADJ fuelectenerg-3306 193 36 meaning meaning NOUN fuelectenerg-3306 193 37 is be AUX fuelectenerg-3306 193 38 opposite opposite ADJ fuelectenerg-3306 193 39 to to PART fuelectenerg-3306 193 40 linear linear VERB fuelectenerg-3306 193 41 . . PUNCT fuelectenerg-3306 194 1 the the DET fuelectenerg-3306 194 2 exact exact ADJ fuelectenerg-3306 194 3 number number NOUN fuelectenerg-3306 194 4 208 208 NUM fuelectenerg-3306 194 5 m. m. NOUN fuelectenerg-3306 194 6 radmanović radmanović NOUN fuelectenerg-3306 194 7 , , PUNCT fuelectenerg-3306 194 8 r. r. PROPN fuelectenerg-3306 194 9 s. s. PROPN fuelectenerg-3306 194 10 stanković stanković PROPN fuelectenerg-3306 194 11 construction construction NOUN fuelectenerg-3306 194 12 of of ADP fuelectenerg-3306 194 13 subsets subset NOUN fuelectenerg-3306 194 14 of of ADP fuelectenerg-3306 194 15 bent bent ADJ fuelectenerg-3306 194 16 functions function NOUN fuelectenerg-3306 194 17 satisfying satisfy VERB fuelectenerg-3306 194 18 restrictions restriction NOUN fuelectenerg-3306 194 19 ... ... PUNCT fuelectenerg-3306 195 1 209 209 NUM fuelectenerg-3306 195 2 4 4 NUM fuelectenerg-3306 195 3 m. m. NOUN fuelectenerg-3306 195 4 radmanović radmanović PROPN fuelectenerg-3306 195 5 and and CCONJ fuelectenerg-3306 195 6 r. r. PROPN fuelectenerg-3306 195 7 stanković stanković PROPN fuelectenerg-3306 195 8 and and CCONJ fuelectenerg-3306 195 9 r(1 r(1 PROPN fuelectenerg-3306 195 10 ) ) PUNCT fuelectenerg-3306 196 1 = = PUNCT fuelectenerg-3306 196 2 [ [ PUNCT fuelectenerg-3306 196 3 1 1 NUM fuelectenerg-3306 196 4 0 0 NUM fuelectenerg-3306 196 5 1 1 NUM fuelectenerg-3306 196 6 1 1 NUM fuelectenerg-3306 196 7 ] ] PUNCT fuelectenerg-3306 196 8 ( ( PUNCT fuelectenerg-3306 196 9 5 5 X fuelectenerg-3306 196 10 ) ) PUNCT fuelectenerg-3306 196 11 is be AUX fuelectenerg-3306 196 12 the the DET fuelectenerg-3306 196 13 basic basic ADJ fuelectenerg-3306 196 14 positive positive ADJ fuelectenerg-3306 196 15 reed reed NOUN fuelectenerg-3306 196 16 - - PUNCT fuelectenerg-3306 196 17 muller muller NOUN fuelectenerg-3306 196 18 transform transform NOUN fuelectenerg-3306 196 19 matrix matrix NOUN fuelectenerg-3306 196 20 . . PUNCT fuelectenerg-3306 197 1 note note VERB fuelectenerg-3306 197 2 that that SCONJ fuelectenerg-3306 197 3 rm(1 rm(1 VERB fuelectenerg-3306 197 4 ) ) PUNCT fuelectenerg-3306 197 5 and and CCONJ fuelectenerg-3306 197 6 , , PUNCT fuelectenerg-3306 197 7 therefore therefore ADV fuelectenerg-3306 197 8 , , PUNCT fuelectenerg-3306 197 9 also also ADV fuelectenerg-3306 197 10 rm(n rm(n X fuelectenerg-3306 197 11 ) ) PUNCT fuelectenerg-3306 197 12 is be AUX fuelectenerg-3306 197 13 a a DET fuelectenerg-3306 197 14 self self NOUN fuelectenerg-3306 197 15 - - PUNCT fuelectenerg-3306 197 16 inverse inverse NOUN fuelectenerg-3306 197 17 matrix matrix NOUN fuelectenerg-3306 197 18 . . PUNCT fuelectenerg-3306 198 1 the the DET fuelectenerg-3306 198 2 kornecker kornecker PROPN fuelectenerg-3306 198 3 product product NOUN fuelectenerg-3306 198 4 used use VERB fuelectenerg-3306 198 5 in in ADP fuelectenerg-3306 198 6 ( ( PUNCT fuelectenerg-3306 198 7 4 4 X fuelectenerg-3306 198 8 ) ) PUNCT fuelectenerg-3306 198 9 determines determine VERB fuelectenerg-3306 198 10 the the DET fuelectenerg-3306 198 11 so so ADV fuelectenerg-3306 198 12 - - PUNCT fuelectenerg-3306 198 13 called call VERB fuelectenerg-3306 198 14 hadamard hadamard ADJ fuelectenerg-3306 198 15 order order NOUN fuelectenerg-3306 198 16 of of ADP fuelectenerg-3306 198 17 the the DET fuelectenerg-3306 198 18 rm rm NOUN fuelectenerg-3306 198 19 - - PUNCT fuelectenerg-3306 198 20 coefficients coefficient NOUN fuelectenerg-3306 198 21 which which PRON fuelectenerg-3306 198 22 will will AUX fuelectenerg-3306 198 23 be be AUX fuelectenerg-3306 198 24 used use VERB fuelectenerg-3306 198 25 in in ADP fuelectenerg-3306 198 26 the the DET fuelectenerg-3306 198 27 following follow VERB fuelectenerg-3306 198 28 considerations consideration NOUN fuelectenerg-3306 198 29 . . PUNCT fuelectenerg-3306 199 1 when when SCONJ fuelectenerg-3306 199 2 the the DET fuelectenerg-3306 199 3 order order NOUN fuelectenerg-3306 199 4 of of ADP fuelectenerg-3306 199 5 coefficients coefficient NOUN fuelectenerg-3306 199 6 is be AUX fuelectenerg-3306 199 7 specified specify VERB fuelectenerg-3306 199 8 , , PUNCT fuelectenerg-3306 199 9 then then ADV fuelectenerg-3306 199 10 the the DET fuelectenerg-3306 199 11 position position NOUN fuelectenerg-3306 199 12 of of ADP fuelectenerg-3306 199 13 each each DET fuelectenerg-3306 199 14 coefficient coefficient NOUN fuelectenerg-3306 199 15 in in ADP fuelectenerg-3306 199 16 the the DET fuelectenerg-3306 199 17 rm rm NOUN fuelectenerg-3306 199 18 - - PUNCT fuelectenerg-3306 199 19 spectrum spectrum NOUN fuelectenerg-3306 199 20 is be AUX fuelectenerg-3306 199 21 uniquely uniquely ADV fuelectenerg-3306 199 22 determined determined ADJ fuelectenerg-3306 199 23 . . PUNCT fuelectenerg-3306 200 1 this this DET fuelectenerg-3306 200 2 property property NOUN fuelectenerg-3306 200 3 will will AUX fuelectenerg-3306 200 4 be be AUX fuelectenerg-3306 200 5 used use VERB fuelectenerg-3306 200 6 to to PART fuelectenerg-3306 200 7 define define VERB fuelectenerg-3306 200 8 restrictions restriction NOUN fuelectenerg-3306 200 9 reducing reduce VERB fuelectenerg-3306 200 10 the the DET fuelectenerg-3306 200 11 search search NOUN fuelectenerg-3306 200 12 space space NOUN fuelectenerg-3306 200 13 for for ADP fuelectenerg-3306 200 14 bent bent ADJ fuelectenerg-3306 200 15 functions function NOUN fuelectenerg-3306 200 16 . . PUNCT fuelectenerg-3306 201 1 definition definition NOUN fuelectenerg-3306 201 2 2 2 NUM fuelectenerg-3306 201 3 the the DET fuelectenerg-3306 201 4 function function NOUN fuelectenerg-3306 201 5 f f PROPN fuelectenerg-3306 201 6 is be AUX fuelectenerg-3306 201 7 reconstructed reconstruct VERB fuelectenerg-3306 201 8 from from ADP fuelectenerg-3306 201 9 its its PRON fuelectenerg-3306 201 10 rm rm NOUN fuelectenerg-3306 201 11 spectrum spectrum NOUN fuelectenerg-3306 201 12 as as ADP fuelectenerg-3306 201 13 : : PUNCT fuelectenerg-3306 201 14 f(x1 f(x1 ADJ fuelectenerg-3306 201 15 , , PUNCT fuelectenerg-3306 201 16 x2 x2 PROPN fuelectenerg-3306 201 17 , , PUNCT fuelectenerg-3306 201 18 . . PUNCT fuelectenerg-3306 201 19 . . PUNCT fuelectenerg-3306 202 1 . . PUNCT fuelectenerg-3306 203 1 , , PUNCT fuelectenerg-3306 203 2 xn xn X fuelectenerg-3306 203 3 ) ) PUNCT fuelectenerg-3306 203 4 = = SYM fuelectenerg-3306 203 5 x(n)sf x(n)sf PROPN fuelectenerg-3306 203 6 , , PUNCT fuelectenerg-3306 203 7 ( ( PUNCT fuelectenerg-3306 203 8 6 6 NUM fuelectenerg-3306 203 9 ) ) PUNCT fuelectenerg-3306 203 10 where where SCONJ fuelectenerg-3306 203 11 x(n x(n NOUN fuelectenerg-3306 203 12 ) ) PUNCT fuelectenerg-3306 203 13 = = SYM fuelectenerg-3306 204 1 n n NUM fuelectenerg-3306 205 1 ⊗ ⊗ NOUN fuelectenerg-3306 205 2 i=1 i=1 X fuelectenerg-3306 206 1 [ [ PUNCT fuelectenerg-3306 206 2 1 1 NUM fuelectenerg-3306 206 3 xi xi X fuelectenerg-3306 206 4 ] ] PUNCT fuelectenerg-3306 206 5 . . PUNCT fuelectenerg-3306 207 1 ( ( PUNCT fuelectenerg-3306 207 2 7 7 X fuelectenerg-3306 207 3 ) ) PUNCT fuelectenerg-3306 207 4 2.2 2.2 NUM fuelectenerg-3306 207 5 walsh walsh NOUN fuelectenerg-3306 207 6 transform transform NOUN fuelectenerg-3306 207 7 definition definition NOUN fuelectenerg-3306 207 8 3 3 NUM fuelectenerg-3306 207 9 for for ADP fuelectenerg-3306 207 10 a a DET fuelectenerg-3306 207 11 boolean boolean ADJ fuelectenerg-3306 207 12 function function NOUN fuelectenerg-3306 207 13 f f PROPN fuelectenerg-3306 207 14 in in ADP fuelectenerg-3306 207 15 ( ( PUNCT fuelectenerg-3306 207 16 1,−1 1,−1 X fuelectenerg-3306 207 17 ) ) PUNCT fuelectenerg-3306 207 18 encoding encoding NOUN fuelectenerg-3306 207 19 defined define VERB fuelectenerg-3306 207 20 by by ADP fuelectenerg-3306 207 21 the the DET fuelectenerg-3306 207 22 truth truth NOUN fuelectenerg-3306 207 23 - - PUNCT fuelectenerg-3306 207 24 vector vector NOUN fuelectenerg-3306 207 25 f f NOUN fuelectenerg-3306 207 26 = = PUNCT fuelectenerg-3306 208 1 [ [ X fuelectenerg-3306 208 2 f0 f0 PROPN fuelectenerg-3306 208 3 , , PUNCT fuelectenerg-3306 208 4 f1 f1 NOUN fuelectenerg-3306 208 5 , , PUNCT fuelectenerg-3306 208 6 . . PUNCT fuelectenerg-3306 208 7 . . PUNCT fuelectenerg-3306 209 1 . . PUNCT fuelectenerg-3306 210 1 , , PUNCT fuelectenerg-3306 210 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 210 3 ] ] X fuelectenerg-3306 210 4 t t NOUN fuelectenerg-3306 210 5 , , PUNCT fuelectenerg-3306 210 6 the the DET fuelectenerg-3306 210 7 walsh walsh PROPN fuelectenerg-3306 210 8 spectrum spectrum PROPN fuelectenerg-3306 210 9 sf sf PROPN fuelectenerg-3306 210 10 , , PUNCT fuelectenerg-3306 210 11 w w NOUN fuelectenerg-3306 211 1 = = PUNCT fuelectenerg-3306 212 1 [ [ X fuelectenerg-3306 212 2 r0 r0 NOUN fuelectenerg-3306 212 3 , , PUNCT fuelectenerg-3306 212 4 r1 r1 NOUN fuelectenerg-3306 212 5 , , PUNCT fuelectenerg-3306 212 6 . . PUNCT fuelectenerg-3306 212 7 . . PUNCT fuelectenerg-3306 213 1 . . PUNCT fuelectenerg-3306 214 1 , , PUNCT fuelectenerg-3306 214 2 r2n−1 r2n−1 PROPN fuelectenerg-3306 214 3 ] ] PUNCT fuelectenerg-3306 214 4 t t PROPN fuelectenerg-3306 214 5 is be AUX fuelectenerg-3306 214 6 defined define VERB fuelectenerg-3306 214 7 as as ADP fuelectenerg-3306 214 8 [ [ X fuelectenerg-3306 214 9 ? ? PUNCT fuelectenerg-3306 215 1 ] ] X fuelectenerg-3306 215 2 : : PUNCT fuelectenerg-3306 215 3 sf sf X fuelectenerg-3306 215 4 , , PUNCT fuelectenerg-3306 215 5 w w PROPN fuelectenerg-3306 215 6 = = SYM fuelectenerg-3306 215 7 w w PROPN fuelectenerg-3306 215 8 ( ( PUNCT fuelectenerg-3306 215 9 n)f n)f NOUN fuelectenerg-3306 215 10 , , PUNCT fuelectenerg-3306 215 11 ( ( PUNCT fuelectenerg-3306 215 12 8) 8) NUM fuelectenerg-3306 215 13 where where SCONJ fuelectenerg-3306 215 14 , , PUNCT fuelectenerg-3306 215 15 w w PROPN fuelectenerg-3306 215 16 ( ( PUNCT fuelectenerg-3306 215 17 n n CCONJ fuelectenerg-3306 215 18 ) ) PUNCT fuelectenerg-3306 215 19 = = SYM fuelectenerg-3306 216 1 n n PROPN fuelectenerg-3306 217 1 ⊗ ⊗ PROPN fuelectenerg-3306 217 2 i=1 i=1 PROPN fuelectenerg-3306 218 1 w w PROPN fuelectenerg-3306 218 2 ( ( PUNCT fuelectenerg-3306 218 3 1 1 NUM fuelectenerg-3306 218 4 ) ) PUNCT fuelectenerg-3306 218 5 , , PUNCT fuelectenerg-3306 218 6 ( ( PUNCT fuelectenerg-3306 218 7 9 9 X fuelectenerg-3306 218 8 ) ) PUNCT fuelectenerg-3306 218 9 where where SCONJ fuelectenerg-3306 218 10 , , PUNCT fuelectenerg-3306 218 11 w w PROPN fuelectenerg-3306 218 12 ( ( PUNCT fuelectenerg-3306 218 13 1 1 NUM fuelectenerg-3306 218 14 ) ) PUNCT fuelectenerg-3306 218 15 = = NOUN fuelectenerg-3306 219 1 [ [ PUNCT fuelectenerg-3306 219 2 1 1 NUM fuelectenerg-3306 219 3 1 1 NUM fuelectenerg-3306 219 4 1 1 NUM fuelectenerg-3306 219 5 −1 −1 NOUN fuelectenerg-3306 219 6 ] ] PUNCT fuelectenerg-3306 219 7 ( ( PUNCT fuelectenerg-3306 219 8 10 10 NUM fuelectenerg-3306 219 9 ) ) PUNCT fuelectenerg-3306 219 10 is be AUX fuelectenerg-3306 219 11 the the DET fuelectenerg-3306 219 12 basic basic ADJ fuelectenerg-3306 219 13 walsh walsh NOUN fuelectenerg-3306 219 14 transform transform NOUN fuelectenerg-3306 219 15 matrix matrix NOUN fuelectenerg-3306 219 16 . . PUNCT fuelectenerg-3306 220 1 2.3 2.3 NUM fuelectenerg-3306 220 2 bent bent ADJ fuelectenerg-3306 220 3 functions function NOUN fuelectenerg-3306 220 4 for for ADP fuelectenerg-3306 220 5 the the DET fuelectenerg-3306 220 6 case case NOUN fuelectenerg-3306 220 7 of of ADP fuelectenerg-3306 220 8 even even ADV fuelectenerg-3306 220 9 number number NOUN fuelectenerg-3306 220 10 of of ADP fuelectenerg-3306 220 11 variables variable NOUN fuelectenerg-3306 220 12 , , PUNCT fuelectenerg-3306 220 13 there there PRON fuelectenerg-3306 220 14 is be VERB fuelectenerg-3306 220 15 a a DET fuelectenerg-3306 220 16 class class NOUN fuelectenerg-3306 220 17 of of ADP fuelectenerg-3306 220 18 boolean boolean ADJ fuelectenerg-3306 220 19 functions function NOUN fuelectenerg-3306 220 20 introduced introduce VERB fuelectenerg-3306 220 21 by by ADP fuelectenerg-3306 220 22 o. o. PROPN fuelectenerg-3306 220 23 rothaus rothaus PROPN fuelectenerg-3306 220 24 achieving achieve VERB fuelectenerg-3306 220 25 maximum maximum ADJ fuelectenerg-3306 220 26 nonlinearity nonlinearity NOUN fuelectenerg-3306 220 27 , , PUNCT fuelectenerg-3306 220 28 the the DET fuelectenerg-3306 220 29 so so ADV fuelectenerg-3306 220 30 - - PUNCT fuelectenerg-3306 220 31 called call VERB fuelectenerg-3306 220 32 bent bent ADJ fuelectenerg-3306 220 33 functions function NOUN fuelectenerg-3306 220 34 , , PUNCT fuelectenerg-3306 220 35 figurative figurative ADJ fuelectenerg-3306 220 36 meaning meaning NOUN fuelectenerg-3306 220 37 is be AUX fuelectenerg-3306 220 38 opposite opposite ADJ fuelectenerg-3306 220 39 to to PART fuelectenerg-3306 220 40 linear linear VERB fuelectenerg-3306 220 41 . . PUNCT fuelectenerg-3306 221 1 the the DET fuelectenerg-3306 221 2 exact exact ADJ fuelectenerg-3306 221 3 number number NOUN fuelectenerg-3306 221 4 construction construction NOUN fuelectenerg-3306 221 5 of of ADP fuelectenerg-3306 221 6 subsets subset NOUN fuelectenerg-3306 221 7 of of ADP fuelectenerg-3306 221 8 bent bent ADJ fuelectenerg-3306 221 9 functions function NOUN fuelectenerg-3306 221 10 satisfying satisfy VERB fuelectenerg-3306 221 11 restrictions restriction NOUN fuelectenerg-3306 221 12 ... ... PUNCT fuelectenerg-3306 221 13 5 5 NUM fuelectenerg-3306 221 14 of of ADP fuelectenerg-3306 221 15 n n CCONJ fuelectenerg-3306 221 16 - - PUNCT fuelectenerg-3306 221 17 variable variable ADJ fuelectenerg-3306 221 18 bent bent ADJ fuelectenerg-3306 221 19 functions function NOUN fuelectenerg-3306 221 20 is be AUX fuelectenerg-3306 221 21 known know VERB fuelectenerg-3306 221 22 only only ADV fuelectenerg-3306 221 23 for for ADP fuelectenerg-3306 221 24 small small ADJ fuelectenerg-3306 221 25 number number NOUN fuelectenerg-3306 221 26 of of ADP fuelectenerg-3306 221 27 variables variable NOUN fuelectenerg-3306 221 28 , , PUNCT fuelectenerg-3306 221 29 for for ADP fuelectenerg-3306 221 30 n n X fuelectenerg-3306 221 31 < < X fuelectenerg-3306 221 32 10 10 NUM fuelectenerg-3306 221 33 . . PUNCT fuelectenerg-3306 222 1 the the DET fuelectenerg-3306 222 2 general general ADJ fuelectenerg-3306 222 3 number number NOUN fuelectenerg-3306 222 4 of of ADP fuelectenerg-3306 222 5 bent bent ADJ fuelectenerg-3306 222 6 functions function NOUN fuelectenerg-3306 222 7 is be AUX fuelectenerg-3306 222 8 an an DET fuelectenerg-3306 222 9 open open ADJ fuelectenerg-3306 222 10 problem problem NOUN fuelectenerg-3306 222 11 and and CCONJ fuelectenerg-3306 222 12 it it PRON fuelectenerg-3306 222 13 is be AUX fuelectenerg-3306 222 14 known know VERB fuelectenerg-3306 222 15 the the DET fuelectenerg-3306 222 16 upper upper ADJ fuelectenerg-3306 222 17 bounds bound NOUN fuelectenerg-3306 222 18 in in ADP fuelectenerg-3306 222 19 respect respect NOUN fuelectenerg-3306 222 20 to to PART fuelectenerg-3306 222 21 n. n. VERB fuelectenerg-3306 222 22 the the DET fuelectenerg-3306 222 23 following follow VERB fuelectenerg-3306 222 24 theorems theorem NOUN fuelectenerg-3306 222 25 and and CCONJ fuelectenerg-3306 222 26 definition definition NOUN fuelectenerg-3306 222 27 determine determine VERB fuelectenerg-3306 222 28 some some DET fuelectenerg-3306 222 29 basic basic ADJ fuelectenerg-3306 222 30 properties property NOUN fuelectenerg-3306 222 31 of of ADP fuelectenerg-3306 222 32 bent bent ADJ fuelectenerg-3306 222 33 functions function NOUN fuelectenerg-3306 222 34 that that PRON fuelectenerg-3306 222 35 will will AUX fuelectenerg-3306 222 36 be be AUX fuelectenerg-3306 222 37 used use VERB fuelectenerg-3306 222 38 in in ADP fuelectenerg-3306 222 39 the the DET fuelectenerg-3306 222 40 present present ADJ fuelectenerg-3306 222 41 considerations consideration NOUN fuelectenerg-3306 222 42 . . PUNCT fuelectenerg-3306 223 1 theorem theorem ADJ fuelectenerg-3306 223 2 1 1 NUM fuelectenerg-3306 224 1 [ [ X fuelectenerg-3306 224 2 3 3 X fuelectenerg-3306 224 3 ] ] PUNCT fuelectenerg-3306 224 4 there there PRON fuelectenerg-3306 224 5 are be VERB fuelectenerg-3306 224 6 defined define VERB fuelectenerg-3306 224 7 some some DET fuelectenerg-3306 224 8 ” " PUNCT fuelectenerg-3306 224 9 naive naive ADJ fuelectenerg-3306 224 10 ” " PUNCT fuelectenerg-3306 224 11 lower low ADJ fuelectenerg-3306 224 12 and and CCONJ fuelectenerg-3306 224 13 upper upper ADJ fuelectenerg-3306 224 14 bounds bound NOUN fuelectenerg-3306 224 15 on on ADP fuelectenerg-3306 224 16 the the DET fuelectenerg-3306 224 17 number number NOUN fuelectenerg-3306 224 18 of of ADP fuelectenerg-3306 224 19 bent bent ADJ fuelectenerg-3306 224 20 functions function NOUN fuelectenerg-3306 224 21 . . PUNCT fuelectenerg-3306 225 1 the the DET fuelectenerg-3306 225 2 lower lower ADV fuelectenerg-3306 225 3 bound bind VERB fuelectenerg-3306 225 4 is be AUX fuelectenerg-3306 225 5 ( ( PUNCT fuelectenerg-3306 225 6 2n/2)!22 2n/2)!22 PROPN fuelectenerg-3306 225 7 n/2 n/2 NOUN fuelectenerg-3306 225 8 , , PUNCT fuelectenerg-3306 225 9 and and CCONJ fuelectenerg-3306 225 10 upper upper ADJ fuelectenerg-3306 225 11 bound bind VERB fuelectenerg-3306 225 12 is be AUX fuelectenerg-3306 225 13 2 2 NUM fuelectenerg-3306 225 14 2n−1 2n−1 NUM fuelectenerg-3306 225 15 + + CCONJ fuelectenerg-3306 225 16 1 1 NUM fuelectenerg-3306 225 17 2 2 NUM fuelectenerg-3306 225 18 ( ( PUNCT fuelectenerg-3306 225 19 n n X fuelectenerg-3306 225 20 n/2 n/2 NUM fuelectenerg-3306 225 21 ) ) PUNCT fuelectenerg-3306 225 22 . . PUNCT fuelectenerg-3306 226 1 note note VERB fuelectenerg-3306 226 2 that that SCONJ fuelectenerg-3306 226 3 , , PUNCT fuelectenerg-3306 226 4 the the DET fuelectenerg-3306 226 5 number number NOUN fuelectenerg-3306 226 6 of of ADP fuelectenerg-3306 226 7 bent bent ADJ fuelectenerg-3306 226 8 functions function NOUN fuelectenerg-3306 226 9 increases increase VERB fuelectenerg-3306 226 10 rapidly rapidly ADV fuelectenerg-3306 226 11 due due ADJ fuelectenerg-3306 226 12 to to ADP fuelectenerg-3306 226 13 exponential exponential ADJ fuelectenerg-3306 226 14 increasing increasing NOUN fuelectenerg-3306 226 15 of of ADP fuelectenerg-3306 226 16 lower low ADJ fuelectenerg-3306 226 17 bound bind VERB fuelectenerg-3306 226 18 . . PUNCT fuelectenerg-3306 227 1 theorem theorem VERB fuelectenerg-3306 227 2 2 2 NUM fuelectenerg-3306 228 1 [ [ X fuelectenerg-3306 228 2 2 2 NUM fuelectenerg-3306 228 3 ] ] PUNCT fuelectenerg-3306 228 4 if if SCONJ fuelectenerg-3306 228 5 f f PROPN fuelectenerg-3306 228 6 is be AUX fuelectenerg-3306 228 7 a a DET fuelectenerg-3306 228 8 bent bent ADJ fuelectenerg-3306 228 9 function function NOUN fuelectenerg-3306 228 10 , , PUNCT fuelectenerg-3306 228 11 f f PROPN fuelectenerg-3306 228 12 is be AUX fuelectenerg-3306 228 13 also also ADV fuelectenerg-3306 228 14 bent bent ADJ fuelectenerg-3306 228 15 . . PUNCT fuelectenerg-3306 229 1 theorem theorem VERB fuelectenerg-3306 229 2 3 3 NUM fuelectenerg-3306 229 3 [ [ X fuelectenerg-3306 229 4 1 1 NUM fuelectenerg-3306 229 5 ] ] PUNCT fuelectenerg-3306 229 6 every every DET fuelectenerg-3306 229 7 bent bent ADJ fuelectenerg-3306 229 8 function function NOUN fuelectenerg-3306 229 9 has have VERB fuelectenerg-3306 229 10 a a DET fuelectenerg-3306 229 11 hamming hamming ADJ fuelectenerg-3306 229 12 weight weight NOUN fuelectenerg-3306 229 13 ( ( PUNCT fuelectenerg-3306 229 14 number number NOUN fuelectenerg-3306 229 15 of of ADP fuelectenerg-3306 229 16 ones one NOUN fuelectenerg-3306 229 17 in in ADP fuelectenerg-3306 229 18 the the DET fuelectenerg-3306 229 19 truth truth NOUN fuelectenerg-3306 229 20 vector vector NOUN fuelectenerg-3306 229 21 ) ) PUNCT fuelectenerg-3306 229 22 of of ADP fuelectenerg-3306 229 23 2n−1 2n−1 NUM fuelectenerg-3306 229 24 ± ± NUM fuelectenerg-3306 229 25 2n/2−1 2n/2−1 NOUN fuelectenerg-3306 229 26 . . PUNCT fuelectenerg-3306 230 1 the the DET fuelectenerg-3306 230 2 following follow VERB fuelectenerg-3306 230 3 definition definition NOUN fuelectenerg-3306 230 4 of of ADP fuelectenerg-3306 230 5 a a DET fuelectenerg-3306 230 6 bent bent ADJ fuelectenerg-3306 230 7 function function NOUN fuelectenerg-3306 230 8 is be AUX fuelectenerg-3306 230 9 formulated formulate VERB fuelectenerg-3306 230 10 in in ADP fuelectenerg-3306 230 11 terms term NOUN fuelectenerg-3306 230 12 of of ADP fuelectenerg-3306 230 13 the the DET fuelectenerg-3306 230 14 walsh walsh NOUN fuelectenerg-3306 230 15 transform transform NOUN fuelectenerg-3306 230 16 coefficients coefficient NOUN fuelectenerg-3306 230 17 : : PUNCT fuelectenerg-3306 230 18 definition definition NOUN fuelectenerg-3306 230 19 4 4 NUM fuelectenerg-3306 230 20 [ [ X fuelectenerg-3306 230 21 4 4 X fuelectenerg-3306 230 22 ] ] PUNCT fuelectenerg-3306 230 23 a a DET fuelectenerg-3306 230 24 boolean boolean ADJ fuelectenerg-3306 230 25 function function NOUN fuelectenerg-3306 230 26 f(x1 f(x1 NOUN fuelectenerg-3306 230 27 , , PUNCT fuelectenerg-3306 230 28 x2 x2 PROPN fuelectenerg-3306 230 29 , , PUNCT fuelectenerg-3306 230 30 . . PUNCT fuelectenerg-3306 230 31 . . PUNCT fuelectenerg-3306 231 1 . . PUNCT fuelectenerg-3306 232 1 , , PUNCT fuelectenerg-3306 232 2 xn xn X fuelectenerg-3306 232 3 ) ) PUNCT fuelectenerg-3306 232 4 in in ADP fuelectenerg-3306 232 5 ( ( PUNCT fuelectenerg-3306 232 6 1,−1 1,−1 X fuelectenerg-3306 232 7 ) ) PUNCT fuelectenerg-3306 232 8 encoding encoding NOUN fuelectenerg-3306 232 9 is be AUX fuelectenerg-3306 232 10 called call VERB fuelectenerg-3306 232 11 bent bent ADJ fuelectenerg-3306 232 12 if if SCONJ fuelectenerg-3306 232 13 all all DET fuelectenerg-3306 232 14 walsh walsh NOUN fuelectenerg-3306 232 15 coefficients coefficient NOUN fuelectenerg-3306 232 16 in in ADP fuelectenerg-3306 232 17 vector vector PROPN fuelectenerg-3306 232 18 sf sf PROPN fuelectenerg-3306 232 19 , , PUNCT fuelectenerg-3306 232 20 w w PROPN fuelectenerg-3306 232 21 have have VERB fuelectenerg-3306 232 22 the the DET fuelectenerg-3306 232 23 same same ADJ fuelectenerg-3306 232 24 absolute absolute ADJ fuelectenerg-3306 232 25 value value NOUN fuelectenerg-3306 232 26 2n/2 2n/2 NUM fuelectenerg-3306 232 27 . . PUNCT fuelectenerg-3306 233 1 theorem theorem VERB fuelectenerg-3306 233 2 4 4 NUM fuelectenerg-3306 234 1 [ [ SYM fuelectenerg-3306 234 2 4 4 NUM fuelectenerg-3306 234 3 ] ] PUNCT fuelectenerg-3306 234 4 the the DET fuelectenerg-3306 234 5 algebraic algebraic ADJ fuelectenerg-3306 234 6 degree degree NOUN fuelectenerg-3306 234 7 of of ADP fuelectenerg-3306 234 8 bent bent ADJ fuelectenerg-3306 234 9 functions function NOUN fuelectenerg-3306 234 10 f(x1 f(x1 ADJ fuelectenerg-3306 234 11 , , PUNCT fuelectenerg-3306 234 12 x2 x2 PROPN fuelectenerg-3306 234 13 , , PUNCT fuelectenerg-3306 234 14 . . PUNCT fuelectenerg-3306 234 15 . . PUNCT fuelectenerg-3306 235 1 . . PUNCT fuelectenerg-3306 236 1 , , PUNCT fuelectenerg-3306 236 2 xn xn X fuelectenerg-3306 236 3 ) ) PUNCT fuelectenerg-3306 236 4 is be AUX fuelectenerg-3306 236 5 at at ADP fuelectenerg-3306 236 6 most most ADJ fuelectenerg-3306 236 7 n/2 n/2 NOUN fuelectenerg-3306 236 8 for for ADP fuelectenerg-3306 236 9 n n X fuelectenerg-3306 236 10 > > X fuelectenerg-3306 236 11 2 2 X fuelectenerg-3306 236 12 . . PUNCT fuelectenerg-3306 236 13 positions position NOUN fuelectenerg-3306 236 14 of of ADP fuelectenerg-3306 236 15 the the DET fuelectenerg-3306 236 16 non non ADJ fuelectenerg-3306 236 17 - - ADJ fuelectenerg-3306 236 18 zero zero NUM fuelectenerg-3306 236 19 rm rm NOUN fuelectenerg-3306 236 20 coefficients coefficient NOUN fuelectenerg-3306 236 21 in in ADP fuelectenerg-3306 236 22 the the DET fuelectenerg-3306 236 23 sf sf NOUN fuelectenerg-3306 236 24 of of ADP fuelectenerg-3306 236 25 a a DET fuelectenerg-3306 236 26 bent bent ADJ fuelectenerg-3306 236 27 function function NOUN fuelectenerg-3306 236 28 are be AUX fuelectenerg-3306 236 29 related relate VERB fuelectenerg-3306 236 30 with with ADP fuelectenerg-3306 236 31 the the DET fuelectenerg-3306 236 32 order order NOUN fuelectenerg-3306 236 33 of of ADP fuelectenerg-3306 236 34 coefficients coefficient NOUN fuelectenerg-3306 236 35 . . PUNCT fuelectenerg-3306 237 1 for for ADP fuelectenerg-3306 237 2 example example NOUN fuelectenerg-3306 237 3 , , PUNCT fuelectenerg-3306 237 4 the the DET fuelectenerg-3306 237 5 bent bent ADJ fuelectenerg-3306 237 6 functions function NOUN fuelectenerg-3306 237 7 of of ADP fuelectenerg-3306 237 8 four four NUM fuelectenerg-3306 237 9 variables variable NOUN fuelectenerg-3306 237 10 can can AUX fuelectenerg-3306 237 11 have have VERB fuelectenerg-3306 237 12 non non ADJ fuelectenerg-3306 237 13 - - ADJ fuelectenerg-3306 237 14 zero zero NUM fuelectenerg-3306 237 15 rm rm NOUN fuelectenerg-3306 237 16 coefficients coefficient NOUN fuelectenerg-3306 237 17 of of ADP fuelectenerg-3306 237 18 order order NOUN fuelectenerg-3306 237 19 0,1,2 0,1,2 NOUN fuelectenerg-3306 238 1 and and CCONJ fuelectenerg-3306 238 2 the the DET fuelectenerg-3306 238 3 number number NOUN fuelectenerg-3306 238 4 of of ADP fuelectenerg-3306 238 5 ones one NOUN fuelectenerg-3306 238 6 in in ADP fuelectenerg-3306 238 7 the the DET fuelectenerg-3306 238 8 binary binary ADJ fuelectenerg-3306 238 9 representation representation NOUN fuelectenerg-3306 238 10 of of ADP fuelectenerg-3306 238 11 their their PRON fuelectenerg-3306 238 12 vector vector NOUN fuelectenerg-3306 238 13 index index NOUN fuelectenerg-3306 238 14 is be AUX fuelectenerg-3306 238 15 ≤ ≤ NOUN fuelectenerg-3306 238 16 2 2 NUM fuelectenerg-3306 238 17 . . PUNCT fuelectenerg-3306 239 1 in in ADP fuelectenerg-3306 239 2 relation relation NOUN fuelectenerg-3306 239 3 to to ADP fuelectenerg-3306 239 4 that that PRON fuelectenerg-3306 239 5 , , PUNCT fuelectenerg-3306 239 6 the the DET fuelectenerg-3306 239 7 maximal maximal ADJ fuelectenerg-3306 239 8 number number NOUN fuelectenerg-3306 239 9 of of ADP fuelectenerg-3306 239 10 non non ADJ fuelectenerg-3306 239 11 - - ADJ fuelectenerg-3306 239 12 zero zero NUM fuelectenerg-3306 239 13 coefficients coefficient NOUN fuelectenerg-3306 239 14 in in ADP fuelectenerg-3306 239 15 the the DET fuelectenerg-3306 239 16 rm rm NOUN fuelectenerg-3306 239 17 spectrum spectrum NOUN fuelectenerg-3306 239 18 of of ADP fuelectenerg-3306 239 19 bent bent ADJ fuelectenerg-3306 239 20 functions function NOUN fuelectenerg-3306 239 21 is be AUX fuelectenerg-3306 239 22 : : PUNCT fuelectenerg-3306 239 23 n/2 n/2 PROPN fuelectenerg-3306 239 24 ∑ ∑ PUNCT fuelectenerg-3306 239 25 i=0 i=0 PROPN fuelectenerg-3306 239 26 ( ( PUNCT fuelectenerg-3306 239 27 n n NOUN fuelectenerg-3306 239 28 i i PRON fuelectenerg-3306 239 29 ) ) PUNCT fuelectenerg-3306 240 1 = = PUNCT fuelectenerg-3306 241 1 2n−1 2n−1 NUM fuelectenerg-3306 242 1 + + CCONJ fuelectenerg-3306 242 2 1 1 NUM fuelectenerg-3306 242 3 2 2 NUM fuelectenerg-3306 242 4 ( ( PUNCT fuelectenerg-3306 242 5 n n NOUN fuelectenerg-3306 242 6 n n PRON fuelectenerg-3306 242 7 2 2 NUM fuelectenerg-3306 242 8 ) ) PUNCT fuelectenerg-3306 242 9 . . PUNCT fuelectenerg-3306 243 1 ( ( PUNCT fuelectenerg-3306 243 2 11 11 X fuelectenerg-3306 243 3 ) ) PUNCT fuelectenerg-3306 243 4 these these PRON fuelectenerg-3306 243 5 both both DET fuelectenerg-3306 243 6 features feature NOUN fuelectenerg-3306 243 7 will will AUX fuelectenerg-3306 243 8 be be AUX fuelectenerg-3306 243 9 used use VERB fuelectenerg-3306 243 10 in in ADP fuelectenerg-3306 243 11 the the DET fuelectenerg-3306 243 12 present present ADJ fuelectenerg-3306 243 13 paper paper NOUN fuelectenerg-3306 243 14 . . PUNCT fuelectenerg-3306 244 1 210 210 NUM fuelectenerg-3306 244 2 m. m. NOUN fuelectenerg-3306 244 3 radmanović radmanović NOUN fuelectenerg-3306 244 4 , , PUNCT fuelectenerg-3306 244 5 r. r. PROPN fuelectenerg-3306 244 6 s. s. PROPN fuelectenerg-3306 244 7 stanković stanković PROPN fuelectenerg-3306 244 8 construction construction NOUN fuelectenerg-3306 244 9 of of ADP fuelectenerg-3306 244 10 subsets subset NOUN fuelectenerg-3306 244 11 of of ADP fuelectenerg-3306 244 12 bent bent ADJ fuelectenerg-3306 244 13 functions function NOUN fuelectenerg-3306 244 14 satisfying satisfy VERB fuelectenerg-3306 244 15 restrictions restriction NOUN fuelectenerg-3306 244 16 ... ... PUNCT fuelectenerg-3306 244 17 211 211 NUM fuelectenerg-3306 244 18 4 4 NUM fuelectenerg-3306 244 19 m. m. NOUN fuelectenerg-3306 244 20 radmanović radmanović PROPN fuelectenerg-3306 244 21 and and CCONJ fuelectenerg-3306 244 22 r. r. PROPN fuelectenerg-3306 244 23 stanković stanković PROPN fuelectenerg-3306 244 24 and and CCONJ fuelectenerg-3306 244 25 r(1 r(1 PROPN fuelectenerg-3306 244 26 ) ) PUNCT fuelectenerg-3306 245 1 = = PUNCT fuelectenerg-3306 245 2 [ [ PUNCT fuelectenerg-3306 245 3 1 1 NUM fuelectenerg-3306 245 4 0 0 NUM fuelectenerg-3306 245 5 1 1 NUM fuelectenerg-3306 245 6 1 1 NUM fuelectenerg-3306 245 7 ] ] PUNCT fuelectenerg-3306 245 8 ( ( PUNCT fuelectenerg-3306 245 9 5 5 X fuelectenerg-3306 245 10 ) ) PUNCT fuelectenerg-3306 245 11 is be AUX fuelectenerg-3306 245 12 the the DET fuelectenerg-3306 245 13 basic basic ADJ fuelectenerg-3306 245 14 positive positive ADJ fuelectenerg-3306 245 15 reed reed NOUN fuelectenerg-3306 245 16 - - PUNCT fuelectenerg-3306 245 17 muller muller NOUN fuelectenerg-3306 245 18 transform transform NOUN fuelectenerg-3306 245 19 matrix matrix NOUN fuelectenerg-3306 245 20 . . PUNCT fuelectenerg-3306 246 1 note note VERB fuelectenerg-3306 246 2 that that SCONJ fuelectenerg-3306 246 3 rm(1 rm(1 VERB fuelectenerg-3306 246 4 ) ) PUNCT fuelectenerg-3306 246 5 and and CCONJ fuelectenerg-3306 246 6 , , PUNCT fuelectenerg-3306 246 7 therefore therefore ADV fuelectenerg-3306 246 8 , , PUNCT fuelectenerg-3306 246 9 also also ADV fuelectenerg-3306 246 10 rm(n rm(n X fuelectenerg-3306 246 11 ) ) PUNCT fuelectenerg-3306 246 12 is be AUX fuelectenerg-3306 246 13 a a DET fuelectenerg-3306 246 14 self self NOUN fuelectenerg-3306 246 15 - - PUNCT fuelectenerg-3306 246 16 inverse inverse NOUN fuelectenerg-3306 246 17 matrix matrix NOUN fuelectenerg-3306 246 18 . . PUNCT fuelectenerg-3306 247 1 the the DET fuelectenerg-3306 247 2 kornecker kornecker PROPN fuelectenerg-3306 247 3 product product NOUN fuelectenerg-3306 247 4 used use VERB fuelectenerg-3306 247 5 in in ADP fuelectenerg-3306 247 6 ( ( PUNCT fuelectenerg-3306 247 7 4 4 X fuelectenerg-3306 247 8 ) ) PUNCT fuelectenerg-3306 247 9 determines determine VERB fuelectenerg-3306 247 10 the the DET fuelectenerg-3306 247 11 so so ADV fuelectenerg-3306 247 12 - - PUNCT fuelectenerg-3306 247 13 called call VERB fuelectenerg-3306 247 14 hadamard hadamard ADJ fuelectenerg-3306 247 15 order order NOUN fuelectenerg-3306 247 16 of of ADP fuelectenerg-3306 247 17 the the DET fuelectenerg-3306 247 18 rm rm NOUN fuelectenerg-3306 247 19 - - PUNCT fuelectenerg-3306 247 20 coefficients coefficient NOUN fuelectenerg-3306 247 21 which which PRON fuelectenerg-3306 247 22 will will AUX fuelectenerg-3306 247 23 be be AUX fuelectenerg-3306 247 24 used use VERB fuelectenerg-3306 247 25 in in ADP fuelectenerg-3306 247 26 the the DET fuelectenerg-3306 247 27 following follow VERB fuelectenerg-3306 247 28 considerations consideration NOUN fuelectenerg-3306 247 29 . . PUNCT fuelectenerg-3306 248 1 when when SCONJ fuelectenerg-3306 248 2 the the DET fuelectenerg-3306 248 3 order order NOUN fuelectenerg-3306 248 4 of of ADP fuelectenerg-3306 248 5 coefficients coefficient NOUN fuelectenerg-3306 248 6 is be AUX fuelectenerg-3306 248 7 specified specify VERB fuelectenerg-3306 248 8 , , PUNCT fuelectenerg-3306 248 9 then then ADV fuelectenerg-3306 248 10 the the DET fuelectenerg-3306 248 11 position position NOUN fuelectenerg-3306 248 12 of of ADP fuelectenerg-3306 248 13 each each DET fuelectenerg-3306 248 14 coefficient coefficient NOUN fuelectenerg-3306 248 15 in in ADP fuelectenerg-3306 248 16 the the DET fuelectenerg-3306 248 17 rm rm NOUN fuelectenerg-3306 248 18 - - PUNCT fuelectenerg-3306 248 19 spectrum spectrum NOUN fuelectenerg-3306 248 20 is be AUX fuelectenerg-3306 248 21 uniquely uniquely ADV fuelectenerg-3306 248 22 determined determined ADJ fuelectenerg-3306 248 23 . . PUNCT fuelectenerg-3306 249 1 this this DET fuelectenerg-3306 249 2 property property NOUN fuelectenerg-3306 249 3 will will AUX fuelectenerg-3306 249 4 be be AUX fuelectenerg-3306 249 5 used use VERB fuelectenerg-3306 249 6 to to PART fuelectenerg-3306 249 7 define define VERB fuelectenerg-3306 249 8 restrictions restriction NOUN fuelectenerg-3306 249 9 reducing reduce VERB fuelectenerg-3306 249 10 the the DET fuelectenerg-3306 249 11 search search NOUN fuelectenerg-3306 249 12 space space NOUN fuelectenerg-3306 249 13 for for ADP fuelectenerg-3306 249 14 bent bent ADJ fuelectenerg-3306 249 15 functions function NOUN fuelectenerg-3306 249 16 . . PUNCT fuelectenerg-3306 250 1 definition definition NOUN fuelectenerg-3306 250 2 2 2 NUM fuelectenerg-3306 250 3 the the DET fuelectenerg-3306 250 4 function function NOUN fuelectenerg-3306 250 5 f f PROPN fuelectenerg-3306 250 6 is be AUX fuelectenerg-3306 250 7 reconstructed reconstruct VERB fuelectenerg-3306 250 8 from from ADP fuelectenerg-3306 250 9 its its PRON fuelectenerg-3306 250 10 rm rm NOUN fuelectenerg-3306 250 11 spectrum spectrum NOUN fuelectenerg-3306 250 12 as as ADP fuelectenerg-3306 250 13 : : PUNCT fuelectenerg-3306 250 14 f(x1 f(x1 ADJ fuelectenerg-3306 250 15 , , PUNCT fuelectenerg-3306 250 16 x2 x2 PROPN fuelectenerg-3306 250 17 , , PUNCT fuelectenerg-3306 250 18 . . PUNCT fuelectenerg-3306 250 19 . . PUNCT fuelectenerg-3306 251 1 . . PUNCT fuelectenerg-3306 252 1 , , PUNCT fuelectenerg-3306 252 2 xn xn X fuelectenerg-3306 252 3 ) ) PUNCT fuelectenerg-3306 252 4 = = SYM fuelectenerg-3306 252 5 x(n)sf x(n)sf PROPN fuelectenerg-3306 252 6 , , PUNCT fuelectenerg-3306 252 7 ( ( PUNCT fuelectenerg-3306 252 8 6 6 NUM fuelectenerg-3306 252 9 ) ) PUNCT fuelectenerg-3306 252 10 where where SCONJ fuelectenerg-3306 252 11 x(n x(n NOUN fuelectenerg-3306 252 12 ) ) PUNCT fuelectenerg-3306 252 13 = = SYM fuelectenerg-3306 253 1 n n NUM fuelectenerg-3306 254 1 ⊗ ⊗ NOUN fuelectenerg-3306 254 2 i=1 i=1 X fuelectenerg-3306 255 1 [ [ PUNCT fuelectenerg-3306 255 2 1 1 NUM fuelectenerg-3306 255 3 xi xi X fuelectenerg-3306 255 4 ] ] PUNCT fuelectenerg-3306 255 5 . . PUNCT fuelectenerg-3306 256 1 ( ( PUNCT fuelectenerg-3306 256 2 7 7 X fuelectenerg-3306 256 3 ) ) PUNCT fuelectenerg-3306 256 4 2.2 2.2 NUM fuelectenerg-3306 256 5 walsh walsh NOUN fuelectenerg-3306 256 6 transform transform NOUN fuelectenerg-3306 256 7 definition definition NOUN fuelectenerg-3306 256 8 3 3 NUM fuelectenerg-3306 256 9 for for ADP fuelectenerg-3306 256 10 a a DET fuelectenerg-3306 256 11 boolean boolean ADJ fuelectenerg-3306 256 12 function function NOUN fuelectenerg-3306 256 13 f f PROPN fuelectenerg-3306 256 14 in in ADP fuelectenerg-3306 256 15 ( ( PUNCT fuelectenerg-3306 256 16 1,−1 1,−1 X fuelectenerg-3306 256 17 ) ) PUNCT fuelectenerg-3306 256 18 encoding encoding NOUN fuelectenerg-3306 256 19 defined define VERB fuelectenerg-3306 256 20 by by ADP fuelectenerg-3306 256 21 the the DET fuelectenerg-3306 256 22 truth truth NOUN fuelectenerg-3306 256 23 - - PUNCT fuelectenerg-3306 256 24 vector vector NOUN fuelectenerg-3306 256 25 f f NOUN fuelectenerg-3306 256 26 = = PUNCT fuelectenerg-3306 257 1 [ [ X fuelectenerg-3306 257 2 f0 f0 PROPN fuelectenerg-3306 257 3 , , PUNCT fuelectenerg-3306 257 4 f1 f1 NOUN fuelectenerg-3306 257 5 , , PUNCT fuelectenerg-3306 257 6 . . PUNCT fuelectenerg-3306 257 7 . . PUNCT fuelectenerg-3306 258 1 . . PUNCT fuelectenerg-3306 259 1 , , PUNCT fuelectenerg-3306 259 2 f2n−1 f2n−1 PROPN fuelectenerg-3306 259 3 ] ] X fuelectenerg-3306 259 4 t t NOUN fuelectenerg-3306 259 5 , , PUNCT fuelectenerg-3306 259 6 the the DET fuelectenerg-3306 259 7 walsh walsh PROPN fuelectenerg-3306 259 8 spectrum spectrum PROPN fuelectenerg-3306 259 9 sf sf PROPN fuelectenerg-3306 259 10 , , PUNCT fuelectenerg-3306 259 11 w w NOUN fuelectenerg-3306 260 1 = = PUNCT fuelectenerg-3306 261 1 [ [ X fuelectenerg-3306 261 2 r0 r0 NOUN fuelectenerg-3306 261 3 , , PUNCT fuelectenerg-3306 261 4 r1 r1 NOUN fuelectenerg-3306 261 5 , , PUNCT fuelectenerg-3306 261 6 . . PUNCT fuelectenerg-3306 261 7 . . PUNCT fuelectenerg-3306 262 1 . . PUNCT fuelectenerg-3306 263 1 , , PUNCT fuelectenerg-3306 263 2 r2n−1 r2n−1 PROPN fuelectenerg-3306 263 3 ] ] PUNCT fuelectenerg-3306 263 4 t t PROPN fuelectenerg-3306 263 5 is be AUX fuelectenerg-3306 263 6 defined define VERB fuelectenerg-3306 263 7 as as ADP fuelectenerg-3306 263 8 [ [ X fuelectenerg-3306 263 9 ? ? PUNCT fuelectenerg-3306 264 1 ] ] X fuelectenerg-3306 264 2 : : PUNCT fuelectenerg-3306 264 3 sf sf X fuelectenerg-3306 264 4 , , PUNCT fuelectenerg-3306 264 5 w w PROPN fuelectenerg-3306 264 6 = = SYM fuelectenerg-3306 264 7 w w PROPN fuelectenerg-3306 264 8 ( ( PUNCT fuelectenerg-3306 264 9 n)f n)f NOUN fuelectenerg-3306 264 10 , , PUNCT fuelectenerg-3306 264 11 ( ( PUNCT fuelectenerg-3306 264 12 8) 8) NUM fuelectenerg-3306 264 13 where where SCONJ fuelectenerg-3306 264 14 , , PUNCT fuelectenerg-3306 264 15 w w PROPN fuelectenerg-3306 264 16 ( ( PUNCT fuelectenerg-3306 264 17 n n CCONJ fuelectenerg-3306 264 18 ) ) PUNCT fuelectenerg-3306 264 19 = = SYM fuelectenerg-3306 265 1 n n PROPN fuelectenerg-3306 266 1 ⊗ ⊗ PROPN fuelectenerg-3306 266 2 i=1 i=1 PROPN fuelectenerg-3306 267 1 w w PROPN fuelectenerg-3306 267 2 ( ( PUNCT fuelectenerg-3306 267 3 1 1 NUM fuelectenerg-3306 267 4 ) ) PUNCT fuelectenerg-3306 267 5 , , PUNCT fuelectenerg-3306 267 6 ( ( PUNCT fuelectenerg-3306 267 7 9 9 X fuelectenerg-3306 267 8 ) ) PUNCT fuelectenerg-3306 267 9 where where SCONJ fuelectenerg-3306 267 10 , , PUNCT fuelectenerg-3306 267 11 w w PROPN fuelectenerg-3306 267 12 ( ( PUNCT fuelectenerg-3306 267 13 1 1 NUM fuelectenerg-3306 267 14 ) ) PUNCT fuelectenerg-3306 267 15 = = NOUN fuelectenerg-3306 268 1 [ [ PUNCT fuelectenerg-3306 268 2 1 1 NUM fuelectenerg-3306 268 3 1 1 NUM fuelectenerg-3306 268 4 1 1 NUM fuelectenerg-3306 268 5 −1 −1 NOUN fuelectenerg-3306 268 6 ] ] PUNCT fuelectenerg-3306 268 7 ( ( PUNCT fuelectenerg-3306 268 8 10 10 NUM fuelectenerg-3306 268 9 ) ) PUNCT fuelectenerg-3306 268 10 is be AUX fuelectenerg-3306 268 11 the the DET fuelectenerg-3306 268 12 basic basic ADJ fuelectenerg-3306 268 13 walsh walsh NOUN fuelectenerg-3306 268 14 transform transform NOUN fuelectenerg-3306 268 15 matrix matrix NOUN fuelectenerg-3306 268 16 . . PUNCT fuelectenerg-3306 269 1 2.3 2.3 NUM fuelectenerg-3306 269 2 bent bent ADJ fuelectenerg-3306 269 3 functions function NOUN fuelectenerg-3306 269 4 for for ADP fuelectenerg-3306 269 5 the the DET fuelectenerg-3306 269 6 case case NOUN fuelectenerg-3306 269 7 of of ADP fuelectenerg-3306 269 8 even even ADV fuelectenerg-3306 269 9 number number NOUN fuelectenerg-3306 269 10 of of ADP fuelectenerg-3306 269 11 variables variable NOUN fuelectenerg-3306 269 12 , , PUNCT fuelectenerg-3306 269 13 there there PRON fuelectenerg-3306 269 14 is be VERB fuelectenerg-3306 269 15 a a DET fuelectenerg-3306 269 16 class class NOUN fuelectenerg-3306 269 17 of of ADP fuelectenerg-3306 269 18 boolean boolean ADJ fuelectenerg-3306 269 19 functions function NOUN fuelectenerg-3306 269 20 introduced introduce VERB fuelectenerg-3306 269 21 by by ADP fuelectenerg-3306 269 22 o. o. PROPN fuelectenerg-3306 269 23 rothaus rothaus PROPN fuelectenerg-3306 269 24 achieving achieve VERB fuelectenerg-3306 269 25 maximum maximum ADJ fuelectenerg-3306 269 26 nonlinearity nonlinearity NOUN fuelectenerg-3306 269 27 , , PUNCT fuelectenerg-3306 269 28 the the DET fuelectenerg-3306 269 29 so so ADV fuelectenerg-3306 269 30 - - PUNCT fuelectenerg-3306 269 31 called call VERB fuelectenerg-3306 269 32 bent bent ADJ fuelectenerg-3306 269 33 functions function NOUN fuelectenerg-3306 269 34 , , PUNCT fuelectenerg-3306 269 35 figurative figurative ADJ fuelectenerg-3306 269 36 meaning meaning NOUN fuelectenerg-3306 269 37 is be AUX fuelectenerg-3306 269 38 opposite opposite ADJ fuelectenerg-3306 269 39 to to PART fuelectenerg-3306 269 40 linear linear VERB fuelectenerg-3306 269 41 . . PUNCT fuelectenerg-3306 270 1 the the DET fuelectenerg-3306 270 2 exact exact ADJ fuelectenerg-3306 270 3 number number NOUN fuelectenerg-3306 270 4 construction construction NOUN fuelectenerg-3306 270 5 of of ADP fuelectenerg-3306 270 6 subsets subset NOUN fuelectenerg-3306 270 7 of of ADP fuelectenerg-3306 270 8 bent bent ADJ fuelectenerg-3306 270 9 functions function NOUN fuelectenerg-3306 270 10 satisfying satisfy VERB fuelectenerg-3306 270 11 restrictions restriction NOUN fuelectenerg-3306 270 12 ... ... PUNCT fuelectenerg-3306 270 13 5 5 NUM fuelectenerg-3306 270 14 of of ADP fuelectenerg-3306 270 15 n n CCONJ fuelectenerg-3306 270 16 - - PUNCT fuelectenerg-3306 270 17 variable variable ADJ fuelectenerg-3306 270 18 bent bent ADJ fuelectenerg-3306 270 19 functions function NOUN fuelectenerg-3306 270 20 is be AUX fuelectenerg-3306 270 21 known know VERB fuelectenerg-3306 270 22 only only ADV fuelectenerg-3306 270 23 for for ADP fuelectenerg-3306 270 24 small small ADJ fuelectenerg-3306 270 25 number number NOUN fuelectenerg-3306 270 26 of of ADP fuelectenerg-3306 270 27 variables variable NOUN fuelectenerg-3306 270 28 , , PUNCT fuelectenerg-3306 270 29 for for ADP fuelectenerg-3306 270 30 n n X fuelectenerg-3306 270 31 < < X fuelectenerg-3306 270 32 10 10 NUM fuelectenerg-3306 270 33 . . PUNCT fuelectenerg-3306 271 1 the the DET fuelectenerg-3306 271 2 general general ADJ fuelectenerg-3306 271 3 number number NOUN fuelectenerg-3306 271 4 of of ADP fuelectenerg-3306 271 5 bent bent ADJ fuelectenerg-3306 271 6 functions function NOUN fuelectenerg-3306 271 7 is be AUX fuelectenerg-3306 271 8 an an DET fuelectenerg-3306 271 9 open open ADJ fuelectenerg-3306 271 10 problem problem NOUN fuelectenerg-3306 271 11 and and CCONJ fuelectenerg-3306 271 12 it it PRON fuelectenerg-3306 271 13 is be AUX fuelectenerg-3306 271 14 known know VERB fuelectenerg-3306 271 15 the the DET fuelectenerg-3306 271 16 upper upper ADJ fuelectenerg-3306 271 17 bounds bound NOUN fuelectenerg-3306 271 18 in in ADP fuelectenerg-3306 271 19 respect respect NOUN fuelectenerg-3306 271 20 to to PART fuelectenerg-3306 271 21 n. n. VERB fuelectenerg-3306 271 22 the the DET fuelectenerg-3306 271 23 following follow VERB fuelectenerg-3306 271 24 theorems theorem NOUN fuelectenerg-3306 271 25 and and CCONJ fuelectenerg-3306 271 26 definition definition NOUN fuelectenerg-3306 271 27 determine determine VERB fuelectenerg-3306 271 28 some some DET fuelectenerg-3306 271 29 basic basic ADJ fuelectenerg-3306 271 30 properties property NOUN fuelectenerg-3306 271 31 of of ADP fuelectenerg-3306 271 32 bent bent ADJ fuelectenerg-3306 271 33 functions function NOUN fuelectenerg-3306 271 34 that that PRON fuelectenerg-3306 271 35 will will AUX fuelectenerg-3306 271 36 be be AUX fuelectenerg-3306 271 37 used use VERB fuelectenerg-3306 271 38 in in ADP fuelectenerg-3306 271 39 the the DET fuelectenerg-3306 271 40 present present ADJ fuelectenerg-3306 271 41 considerations consideration NOUN fuelectenerg-3306 271 42 . . PUNCT fuelectenerg-3306 272 1 theorem theorem ADJ fuelectenerg-3306 272 2 1 1 NUM fuelectenerg-3306 273 1 [ [ X fuelectenerg-3306 273 2 3 3 X fuelectenerg-3306 273 3 ] ] PUNCT fuelectenerg-3306 273 4 there there PRON fuelectenerg-3306 273 5 are be VERB fuelectenerg-3306 273 6 defined define VERB fuelectenerg-3306 273 7 some some DET fuelectenerg-3306 273 8 ” " PUNCT fuelectenerg-3306 273 9 naive naive ADJ fuelectenerg-3306 273 10 ” " PUNCT fuelectenerg-3306 273 11 lower low ADJ fuelectenerg-3306 273 12 and and CCONJ fuelectenerg-3306 273 13 upper upper ADJ fuelectenerg-3306 273 14 bounds bound NOUN fuelectenerg-3306 273 15 on on ADP fuelectenerg-3306 273 16 the the DET fuelectenerg-3306 273 17 number number NOUN fuelectenerg-3306 273 18 of of ADP fuelectenerg-3306 273 19 bent bent ADJ fuelectenerg-3306 273 20 functions function NOUN fuelectenerg-3306 273 21 . . PUNCT fuelectenerg-3306 274 1 the the DET fuelectenerg-3306 274 2 lower lower ADV fuelectenerg-3306 274 3 bound bind VERB fuelectenerg-3306 274 4 is be AUX fuelectenerg-3306 274 5 ( ( PUNCT fuelectenerg-3306 274 6 2n/2)!22 2n/2)!22 PROPN fuelectenerg-3306 274 7 n/2 n/2 NOUN fuelectenerg-3306 274 8 , , PUNCT fuelectenerg-3306 274 9 and and CCONJ fuelectenerg-3306 274 10 upper upper ADJ fuelectenerg-3306 274 11 bound bind VERB fuelectenerg-3306 274 12 is be AUX fuelectenerg-3306 274 13 2 2 NUM fuelectenerg-3306 274 14 2n−1 2n−1 NUM fuelectenerg-3306 274 15 + + CCONJ fuelectenerg-3306 274 16 1 1 NUM fuelectenerg-3306 274 17 2 2 NUM fuelectenerg-3306 274 18 ( ( PUNCT fuelectenerg-3306 274 19 n n X fuelectenerg-3306 274 20 n/2 n/2 NUM fuelectenerg-3306 274 21 ) ) PUNCT fuelectenerg-3306 274 22 . . PUNCT fuelectenerg-3306 275 1 note note VERB fuelectenerg-3306 275 2 that that SCONJ fuelectenerg-3306 275 3 , , PUNCT fuelectenerg-3306 275 4 the the DET fuelectenerg-3306 275 5 number number NOUN fuelectenerg-3306 275 6 of of ADP fuelectenerg-3306 275 7 bent bent ADJ fuelectenerg-3306 275 8 functions function NOUN fuelectenerg-3306 275 9 increases increase VERB fuelectenerg-3306 275 10 rapidly rapidly ADV fuelectenerg-3306 275 11 due due ADJ fuelectenerg-3306 275 12 to to ADP fuelectenerg-3306 275 13 exponential exponential ADJ fuelectenerg-3306 275 14 increasing increasing NOUN fuelectenerg-3306 275 15 of of ADP fuelectenerg-3306 275 16 lower low ADJ fuelectenerg-3306 275 17 bound bind VERB fuelectenerg-3306 275 18 . . PUNCT fuelectenerg-3306 276 1 theorem theorem VERB fuelectenerg-3306 276 2 2 2 NUM fuelectenerg-3306 277 1 [ [ X fuelectenerg-3306 277 2 2 2 NUM fuelectenerg-3306 277 3 ] ] PUNCT fuelectenerg-3306 277 4 if if SCONJ fuelectenerg-3306 277 5 f f PROPN fuelectenerg-3306 277 6 is be AUX fuelectenerg-3306 277 7 a a DET fuelectenerg-3306 277 8 bent bent ADJ fuelectenerg-3306 277 9 function function NOUN fuelectenerg-3306 277 10 , , PUNCT fuelectenerg-3306 277 11 f f PROPN fuelectenerg-3306 277 12 is be AUX fuelectenerg-3306 277 13 also also ADV fuelectenerg-3306 277 14 bent bent ADJ fuelectenerg-3306 277 15 . . PUNCT fuelectenerg-3306 278 1 theorem theorem VERB fuelectenerg-3306 278 2 3 3 NUM fuelectenerg-3306 278 3 [ [ X fuelectenerg-3306 278 4 1 1 NUM fuelectenerg-3306 278 5 ] ] PUNCT fuelectenerg-3306 278 6 every every DET fuelectenerg-3306 278 7 bent bent ADJ fuelectenerg-3306 278 8 function function NOUN fuelectenerg-3306 278 9 has have VERB fuelectenerg-3306 278 10 a a DET fuelectenerg-3306 278 11 hamming hamming ADJ fuelectenerg-3306 278 12 weight weight NOUN fuelectenerg-3306 278 13 ( ( PUNCT fuelectenerg-3306 278 14 number number NOUN fuelectenerg-3306 278 15 of of ADP fuelectenerg-3306 278 16 ones one NOUN fuelectenerg-3306 278 17 in in ADP fuelectenerg-3306 278 18 the the DET fuelectenerg-3306 278 19 truth truth NOUN fuelectenerg-3306 278 20 vector vector NOUN fuelectenerg-3306 278 21 ) ) PUNCT fuelectenerg-3306 278 22 of of ADP fuelectenerg-3306 278 23 2n−1 2n−1 NUM fuelectenerg-3306 278 24 ± ± NUM fuelectenerg-3306 278 25 2n/2−1 2n/2−1 NOUN fuelectenerg-3306 278 26 . . PUNCT fuelectenerg-3306 279 1 the the DET fuelectenerg-3306 279 2 following follow VERB fuelectenerg-3306 279 3 definition definition NOUN fuelectenerg-3306 279 4 of of ADP fuelectenerg-3306 279 5 a a DET fuelectenerg-3306 279 6 bent bent ADJ fuelectenerg-3306 279 7 function function NOUN fuelectenerg-3306 279 8 is be AUX fuelectenerg-3306 279 9 formulated formulate VERB fuelectenerg-3306 279 10 in in ADP fuelectenerg-3306 279 11 terms term NOUN fuelectenerg-3306 279 12 of of ADP fuelectenerg-3306 279 13 the the DET fuelectenerg-3306 279 14 walsh walsh NOUN fuelectenerg-3306 279 15 transform transform NOUN fuelectenerg-3306 279 16 coefficients coefficient NOUN fuelectenerg-3306 279 17 : : PUNCT fuelectenerg-3306 279 18 definition definition NOUN fuelectenerg-3306 279 19 4 4 NUM fuelectenerg-3306 279 20 [ [ X fuelectenerg-3306 279 21 4 4 X fuelectenerg-3306 279 22 ] ] PUNCT fuelectenerg-3306 279 23 a a DET fuelectenerg-3306 279 24 boolean boolean ADJ fuelectenerg-3306 279 25 function function NOUN fuelectenerg-3306 279 26 f(x1 f(x1 NOUN fuelectenerg-3306 279 27 , , PUNCT fuelectenerg-3306 279 28 x2 x2 PROPN fuelectenerg-3306 279 29 , , PUNCT fuelectenerg-3306 279 30 . . PUNCT fuelectenerg-3306 279 31 . . PUNCT fuelectenerg-3306 280 1 . . PUNCT fuelectenerg-3306 281 1 , , PUNCT fuelectenerg-3306 281 2 xn xn X fuelectenerg-3306 281 3 ) ) PUNCT fuelectenerg-3306 281 4 in in ADP fuelectenerg-3306 281 5 ( ( PUNCT fuelectenerg-3306 281 6 1,−1 1,−1 X fuelectenerg-3306 281 7 ) ) PUNCT fuelectenerg-3306 281 8 encoding encoding NOUN fuelectenerg-3306 281 9 is be AUX fuelectenerg-3306 281 10 called call VERB fuelectenerg-3306 281 11 bent bent ADJ fuelectenerg-3306 281 12 if if SCONJ fuelectenerg-3306 281 13 all all DET fuelectenerg-3306 281 14 walsh walsh NOUN fuelectenerg-3306 281 15 coefficients coefficient NOUN fuelectenerg-3306 281 16 in in ADP fuelectenerg-3306 281 17 vector vector PROPN fuelectenerg-3306 281 18 sf sf PROPN fuelectenerg-3306 281 19 , , PUNCT fuelectenerg-3306 281 20 w w PROPN fuelectenerg-3306 281 21 have have VERB fuelectenerg-3306 281 22 the the DET fuelectenerg-3306 281 23 same same ADJ fuelectenerg-3306 281 24 absolute absolute ADJ fuelectenerg-3306 281 25 value value NOUN fuelectenerg-3306 281 26 2n/2 2n/2 NUM fuelectenerg-3306 281 27 . . PUNCT fuelectenerg-3306 282 1 theorem theorem VERB fuelectenerg-3306 282 2 4 4 NUM fuelectenerg-3306 283 1 [ [ SYM fuelectenerg-3306 283 2 4 4 NUM fuelectenerg-3306 283 3 ] ] PUNCT fuelectenerg-3306 283 4 the the DET fuelectenerg-3306 283 5 algebraic algebraic ADJ fuelectenerg-3306 283 6 degree degree NOUN fuelectenerg-3306 283 7 of of ADP fuelectenerg-3306 283 8 bent bent ADJ fuelectenerg-3306 283 9 functions function NOUN fuelectenerg-3306 283 10 f(x1 f(x1 ADJ fuelectenerg-3306 283 11 , , PUNCT fuelectenerg-3306 283 12 x2 x2 PROPN fuelectenerg-3306 283 13 , , PUNCT fuelectenerg-3306 283 14 . . PUNCT fuelectenerg-3306 283 15 . . PUNCT fuelectenerg-3306 284 1 . . PUNCT fuelectenerg-3306 285 1 , , PUNCT fuelectenerg-3306 285 2 xn xn X fuelectenerg-3306 285 3 ) ) PUNCT fuelectenerg-3306 285 4 is be AUX fuelectenerg-3306 285 5 at at ADP fuelectenerg-3306 285 6 most most ADJ fuelectenerg-3306 285 7 n/2 n/2 NOUN fuelectenerg-3306 285 8 for for ADP fuelectenerg-3306 285 9 n n X fuelectenerg-3306 285 10 > > X fuelectenerg-3306 285 11 2 2 X fuelectenerg-3306 285 12 . . PUNCT fuelectenerg-3306 285 13 positions position NOUN fuelectenerg-3306 285 14 of of ADP fuelectenerg-3306 285 15 the the DET fuelectenerg-3306 285 16 non non ADJ fuelectenerg-3306 285 17 - - ADJ fuelectenerg-3306 285 18 zero zero NUM fuelectenerg-3306 285 19 rm rm NOUN fuelectenerg-3306 285 20 coefficients coefficient NOUN fuelectenerg-3306 285 21 in in ADP fuelectenerg-3306 285 22 the the DET fuelectenerg-3306 285 23 sf sf NOUN fuelectenerg-3306 285 24 of of ADP fuelectenerg-3306 285 25 a a DET fuelectenerg-3306 285 26 bent bent ADJ fuelectenerg-3306 285 27 function function NOUN fuelectenerg-3306 285 28 are be AUX fuelectenerg-3306 285 29 related relate VERB fuelectenerg-3306 285 30 with with ADP fuelectenerg-3306 285 31 the the DET fuelectenerg-3306 285 32 order order NOUN fuelectenerg-3306 285 33 of of ADP fuelectenerg-3306 285 34 coefficients coefficient NOUN fuelectenerg-3306 285 35 . . PUNCT fuelectenerg-3306 286 1 for for ADP fuelectenerg-3306 286 2 example example NOUN fuelectenerg-3306 286 3 , , PUNCT fuelectenerg-3306 286 4 the the DET fuelectenerg-3306 286 5 bent bent ADJ fuelectenerg-3306 286 6 functions function NOUN fuelectenerg-3306 286 7 of of ADP fuelectenerg-3306 286 8 four four NUM fuelectenerg-3306 286 9 variables variable NOUN fuelectenerg-3306 286 10 can can AUX fuelectenerg-3306 286 11 have have VERB fuelectenerg-3306 286 12 non non ADJ fuelectenerg-3306 286 13 - - ADJ fuelectenerg-3306 286 14 zero zero NUM fuelectenerg-3306 286 15 rm rm NOUN fuelectenerg-3306 286 16 coefficients coefficient NOUN fuelectenerg-3306 286 17 of of ADP fuelectenerg-3306 286 18 order order NOUN fuelectenerg-3306 286 19 0,1,2 0,1,2 NOUN fuelectenerg-3306 287 1 and and CCONJ fuelectenerg-3306 287 2 the the DET fuelectenerg-3306 287 3 number number NOUN fuelectenerg-3306 287 4 of of ADP fuelectenerg-3306 287 5 ones one NOUN fuelectenerg-3306 287 6 in in ADP fuelectenerg-3306 287 7 the the DET fuelectenerg-3306 287 8 binary binary ADJ fuelectenerg-3306 287 9 representation representation NOUN fuelectenerg-3306 287 10 of of ADP fuelectenerg-3306 287 11 their their PRON fuelectenerg-3306 287 12 vector vector NOUN fuelectenerg-3306 287 13 index index NOUN fuelectenerg-3306 287 14 is be AUX fuelectenerg-3306 287 15 ≤ ≤ NOUN fuelectenerg-3306 287 16 2 2 NUM fuelectenerg-3306 287 17 . . PUNCT fuelectenerg-3306 288 1 in in ADP fuelectenerg-3306 288 2 relation relation NOUN fuelectenerg-3306 288 3 to to ADP fuelectenerg-3306 288 4 that that PRON fuelectenerg-3306 288 5 , , PUNCT fuelectenerg-3306 288 6 the the DET fuelectenerg-3306 288 7 maximal maximal ADJ fuelectenerg-3306 288 8 number number NOUN fuelectenerg-3306 288 9 of of ADP fuelectenerg-3306 288 10 non non ADJ fuelectenerg-3306 288 11 - - ADJ fuelectenerg-3306 288 12 zero zero NUM fuelectenerg-3306 288 13 coefficients coefficient NOUN fuelectenerg-3306 288 14 in in ADP fuelectenerg-3306 288 15 the the DET fuelectenerg-3306 288 16 rm rm NOUN fuelectenerg-3306 288 17 spectrum spectrum NOUN fuelectenerg-3306 288 18 of of ADP fuelectenerg-3306 288 19 bent bent ADJ fuelectenerg-3306 288 20 functions function NOUN fuelectenerg-3306 288 21 is be AUX fuelectenerg-3306 288 22 : : PUNCT fuelectenerg-3306 288 23 n/2 n/2 PROPN fuelectenerg-3306 288 24 ∑ ∑ PUNCT fuelectenerg-3306 288 25 i=0 i=0 PROPN fuelectenerg-3306 288 26 ( ( PUNCT fuelectenerg-3306 288 27 n n NOUN fuelectenerg-3306 288 28 i i PRON fuelectenerg-3306 288 29 ) ) PUNCT fuelectenerg-3306 289 1 = = PUNCT fuelectenerg-3306 290 1 2n−1 2n−1 NUM fuelectenerg-3306 291 1 + + CCONJ fuelectenerg-3306 291 2 1 1 NUM fuelectenerg-3306 291 3 2 2 NUM fuelectenerg-3306 291 4 ( ( PUNCT fuelectenerg-3306 291 5 n n NOUN fuelectenerg-3306 291 6 n n PRON fuelectenerg-3306 291 7 2 2 NUM fuelectenerg-3306 291 8 ) ) PUNCT fuelectenerg-3306 291 9 . . PUNCT fuelectenerg-3306 292 1 ( ( PUNCT fuelectenerg-3306 292 2 11 11 X fuelectenerg-3306 292 3 ) ) PUNCT fuelectenerg-3306 292 4 these these PRON fuelectenerg-3306 292 5 both both DET fuelectenerg-3306 292 6 features feature NOUN fuelectenerg-3306 292 7 will will AUX fuelectenerg-3306 292 8 be be AUX fuelectenerg-3306 292 9 used use VERB fuelectenerg-3306 292 10 in in ADP fuelectenerg-3306 292 11 the the DET fuelectenerg-3306 292 12 present present ADJ fuelectenerg-3306 292 13 paper paper NOUN fuelectenerg-3306 292 14 . . PUNCT fuelectenerg-3306 293 1 construction construction NOUN fuelectenerg-3306 293 2 of of ADP fuelectenerg-3306 293 3 subsets subset NOUN fuelectenerg-3306 293 4 of of ADP fuelectenerg-3306 293 5 bent bent ADJ fuelectenerg-3306 293 6 functions function NOUN fuelectenerg-3306 293 7 satisfying satisfy VERB fuelectenerg-3306 293 8 restrictions restriction NOUN fuelectenerg-3306 293 9 ... ... PUNCT fuelectenerg-3306 293 10 5 5 NUM fuelectenerg-3306 293 11 of of ADP fuelectenerg-3306 293 12 n n CCONJ fuelectenerg-3306 293 13 - - PUNCT fuelectenerg-3306 293 14 variable variable ADJ fuelectenerg-3306 293 15 bent bent ADJ fuelectenerg-3306 293 16 functions function NOUN fuelectenerg-3306 293 17 is be AUX fuelectenerg-3306 293 18 known know VERB fuelectenerg-3306 293 19 only only ADV fuelectenerg-3306 293 20 for for ADP fuelectenerg-3306 293 21 small small ADJ fuelectenerg-3306 293 22 number number NOUN fuelectenerg-3306 293 23 of of ADP fuelectenerg-3306 293 24 variables variable NOUN fuelectenerg-3306 293 25 , , PUNCT fuelectenerg-3306 293 26 for for ADP fuelectenerg-3306 293 27 n n X fuelectenerg-3306 293 28 < < X fuelectenerg-3306 293 29 10 10 NUM fuelectenerg-3306 293 30 . . PUNCT fuelectenerg-3306 294 1 the the DET fuelectenerg-3306 294 2 general general ADJ fuelectenerg-3306 294 3 number number NOUN fuelectenerg-3306 294 4 of of ADP fuelectenerg-3306 294 5 bent bent ADJ fuelectenerg-3306 294 6 functions function NOUN fuelectenerg-3306 294 7 is be AUX fuelectenerg-3306 294 8 an an DET fuelectenerg-3306 294 9 open open ADJ fuelectenerg-3306 294 10 problem problem NOUN fuelectenerg-3306 294 11 and and CCONJ fuelectenerg-3306 294 12 it it PRON fuelectenerg-3306 294 13 is be AUX fuelectenerg-3306 294 14 known know VERB fuelectenerg-3306 294 15 the the DET fuelectenerg-3306 294 16 upper upper ADJ fuelectenerg-3306 294 17 bounds bound NOUN fuelectenerg-3306 294 18 in in ADP fuelectenerg-3306 294 19 respect respect NOUN fuelectenerg-3306 294 20 to to PART fuelectenerg-3306 294 21 n. n. VERB fuelectenerg-3306 294 22 the the DET fuelectenerg-3306 294 23 following follow VERB fuelectenerg-3306 294 24 theorems theorem NOUN fuelectenerg-3306 294 25 and and CCONJ fuelectenerg-3306 294 26 definition definition NOUN fuelectenerg-3306 294 27 determine determine VERB fuelectenerg-3306 294 28 some some DET fuelectenerg-3306 294 29 basic basic ADJ fuelectenerg-3306 294 30 properties property NOUN fuelectenerg-3306 294 31 of of ADP fuelectenerg-3306 294 32 bent bent ADJ fuelectenerg-3306 294 33 functions function NOUN fuelectenerg-3306 294 34 that that PRON fuelectenerg-3306 294 35 will will AUX fuelectenerg-3306 294 36 be be AUX fuelectenerg-3306 294 37 used use VERB fuelectenerg-3306 294 38 in in ADP fuelectenerg-3306 294 39 the the DET fuelectenerg-3306 294 40 present present ADJ fuelectenerg-3306 294 41 considerations consideration NOUN fuelectenerg-3306 294 42 . . PUNCT fuelectenerg-3306 295 1 theorem theorem ADJ fuelectenerg-3306 295 2 1 1 NUM fuelectenerg-3306 296 1 [ [ X fuelectenerg-3306 296 2 3 3 X fuelectenerg-3306 296 3 ] ] PUNCT fuelectenerg-3306 296 4 there there PRON fuelectenerg-3306 296 5 are be VERB fuelectenerg-3306 296 6 defined define VERB fuelectenerg-3306 296 7 some some DET fuelectenerg-3306 296 8 ” " PUNCT fuelectenerg-3306 296 9 naive naive ADJ fuelectenerg-3306 296 10 ” " PUNCT fuelectenerg-3306 296 11 lower low ADJ fuelectenerg-3306 296 12 and and CCONJ fuelectenerg-3306 296 13 upper upper ADJ fuelectenerg-3306 296 14 bounds bound NOUN fuelectenerg-3306 296 15 on on ADP fuelectenerg-3306 296 16 the the DET fuelectenerg-3306 296 17 number number NOUN fuelectenerg-3306 296 18 of of ADP fuelectenerg-3306 296 19 bent bent ADJ fuelectenerg-3306 296 20 functions function NOUN fuelectenerg-3306 296 21 . . PUNCT fuelectenerg-3306 297 1 the the DET fuelectenerg-3306 297 2 lower lower ADV fuelectenerg-3306 297 3 bound bind VERB fuelectenerg-3306 297 4 is be AUX fuelectenerg-3306 297 5 ( ( PUNCT fuelectenerg-3306 297 6 2n/2)!22 2n/2)!22 PROPN fuelectenerg-3306 297 7 n/2 n/2 NOUN fuelectenerg-3306 297 8 , , PUNCT fuelectenerg-3306 297 9 and and CCONJ fuelectenerg-3306 297 10 upper upper ADJ fuelectenerg-3306 297 11 bound bind VERB fuelectenerg-3306 297 12 is be AUX fuelectenerg-3306 297 13 2 2 NUM fuelectenerg-3306 297 14 2n−1 2n−1 NUM fuelectenerg-3306 297 15 + + CCONJ fuelectenerg-3306 297 16 1 1 NUM fuelectenerg-3306 297 17 2 2 NUM fuelectenerg-3306 297 18 ( ( PUNCT fuelectenerg-3306 297 19 n n X fuelectenerg-3306 297 20 n/2 n/2 NUM fuelectenerg-3306 297 21 ) ) PUNCT fuelectenerg-3306 297 22 . . PUNCT fuelectenerg-3306 298 1 note note VERB fuelectenerg-3306 298 2 that that SCONJ fuelectenerg-3306 298 3 , , PUNCT fuelectenerg-3306 298 4 the the DET fuelectenerg-3306 298 5 number number NOUN fuelectenerg-3306 298 6 of of ADP fuelectenerg-3306 298 7 bent bent ADJ fuelectenerg-3306 298 8 functions function NOUN fuelectenerg-3306 298 9 increases increase VERB fuelectenerg-3306 298 10 rapidly rapidly ADV fuelectenerg-3306 298 11 due due ADJ fuelectenerg-3306 298 12 to to ADP fuelectenerg-3306 298 13 exponential exponential ADJ fuelectenerg-3306 298 14 increasing increasing NOUN fuelectenerg-3306 298 15 of of ADP fuelectenerg-3306 298 16 lower low ADJ fuelectenerg-3306 298 17 bound bind VERB fuelectenerg-3306 298 18 . . PUNCT fuelectenerg-3306 299 1 theorem theorem VERB fuelectenerg-3306 299 2 2 2 NUM fuelectenerg-3306 300 1 [ [ X fuelectenerg-3306 300 2 2 2 NUM fuelectenerg-3306 300 3 ] ] PUNCT fuelectenerg-3306 300 4 if if SCONJ fuelectenerg-3306 300 5 f f PROPN fuelectenerg-3306 300 6 is be AUX fuelectenerg-3306 300 7 a a DET fuelectenerg-3306 300 8 bent bent ADJ fuelectenerg-3306 300 9 function function NOUN fuelectenerg-3306 300 10 , , PUNCT fuelectenerg-3306 300 11 f f PROPN fuelectenerg-3306 300 12 is be AUX fuelectenerg-3306 300 13 also also ADV fuelectenerg-3306 300 14 bent bent ADJ fuelectenerg-3306 300 15 . . PUNCT fuelectenerg-3306 301 1 theorem theorem VERB fuelectenerg-3306 301 2 3 3 NUM fuelectenerg-3306 301 3 [ [ X fuelectenerg-3306 301 4 1 1 NUM fuelectenerg-3306 301 5 ] ] PUNCT fuelectenerg-3306 301 6 every every DET fuelectenerg-3306 301 7 bent bent ADJ fuelectenerg-3306 301 8 function function NOUN fuelectenerg-3306 301 9 has have VERB fuelectenerg-3306 301 10 a a DET fuelectenerg-3306 301 11 hamming hamming ADJ fuelectenerg-3306 301 12 weight weight NOUN fuelectenerg-3306 301 13 ( ( PUNCT fuelectenerg-3306 301 14 number number NOUN fuelectenerg-3306 301 15 of of ADP fuelectenerg-3306 301 16 ones one NOUN fuelectenerg-3306 301 17 in in ADP fuelectenerg-3306 301 18 the the DET fuelectenerg-3306 301 19 truth truth NOUN fuelectenerg-3306 301 20 vector vector NOUN fuelectenerg-3306 301 21 ) ) PUNCT fuelectenerg-3306 301 22 of of ADP fuelectenerg-3306 301 23 2n−1 2n−1 NUM fuelectenerg-3306 301 24 ± ± NUM fuelectenerg-3306 301 25 2n/2−1 2n/2−1 NOUN fuelectenerg-3306 301 26 . . PUNCT fuelectenerg-3306 302 1 the the DET fuelectenerg-3306 302 2 following follow VERB fuelectenerg-3306 302 3 definition definition NOUN fuelectenerg-3306 302 4 of of ADP fuelectenerg-3306 302 5 a a DET fuelectenerg-3306 302 6 bent bent ADJ fuelectenerg-3306 302 7 function function NOUN fuelectenerg-3306 302 8 is be AUX fuelectenerg-3306 302 9 formulated formulate VERB fuelectenerg-3306 302 10 in in ADP fuelectenerg-3306 302 11 terms term NOUN fuelectenerg-3306 302 12 of of ADP fuelectenerg-3306 302 13 the the DET fuelectenerg-3306 302 14 walsh walsh NOUN fuelectenerg-3306 302 15 transform transform NOUN fuelectenerg-3306 302 16 coefficients coefficient NOUN fuelectenerg-3306 302 17 : : PUNCT fuelectenerg-3306 302 18 definition definition NOUN fuelectenerg-3306 302 19 4 4 NUM fuelectenerg-3306 302 20 [ [ X fuelectenerg-3306 302 21 4 4 X fuelectenerg-3306 302 22 ] ] PUNCT fuelectenerg-3306 302 23 a a DET fuelectenerg-3306 302 24 boolean boolean ADJ fuelectenerg-3306 302 25 function function NOUN fuelectenerg-3306 302 26 f(x1 f(x1 NOUN fuelectenerg-3306 302 27 , , PUNCT fuelectenerg-3306 302 28 x2 x2 PROPN fuelectenerg-3306 302 29 , , PUNCT fuelectenerg-3306 302 30 . . PUNCT fuelectenerg-3306 302 31 . . PUNCT fuelectenerg-3306 303 1 . . PUNCT fuelectenerg-3306 304 1 , , PUNCT fuelectenerg-3306 304 2 xn xn X fuelectenerg-3306 304 3 ) ) PUNCT fuelectenerg-3306 304 4 in in ADP fuelectenerg-3306 304 5 ( ( PUNCT fuelectenerg-3306 304 6 1,−1 1,−1 X fuelectenerg-3306 304 7 ) ) PUNCT fuelectenerg-3306 304 8 encoding encoding NOUN fuelectenerg-3306 304 9 is be AUX fuelectenerg-3306 304 10 called call VERB fuelectenerg-3306 304 11 bent bent ADJ fuelectenerg-3306 304 12 if if SCONJ fuelectenerg-3306 304 13 all all DET fuelectenerg-3306 304 14 walsh walsh NOUN fuelectenerg-3306 304 15 coefficients coefficient NOUN fuelectenerg-3306 304 16 in in ADP fuelectenerg-3306 304 17 vector vector PROPN fuelectenerg-3306 304 18 sf sf PROPN fuelectenerg-3306 304 19 , , PUNCT fuelectenerg-3306 304 20 w w PROPN fuelectenerg-3306 304 21 have have VERB fuelectenerg-3306 304 22 the the DET fuelectenerg-3306 304 23 same same ADJ fuelectenerg-3306 304 24 absolute absolute ADJ fuelectenerg-3306 304 25 value value NOUN fuelectenerg-3306 304 26 2n/2 2n/2 NUM fuelectenerg-3306 304 27 . . PUNCT fuelectenerg-3306 305 1 theorem theorem VERB fuelectenerg-3306 305 2 4 4 NUM fuelectenerg-3306 306 1 [ [ SYM fuelectenerg-3306 306 2 4 4 NUM fuelectenerg-3306 306 3 ] ] PUNCT fuelectenerg-3306 306 4 the the DET fuelectenerg-3306 306 5 algebraic algebraic ADJ fuelectenerg-3306 306 6 degree degree NOUN fuelectenerg-3306 306 7 of of ADP fuelectenerg-3306 306 8 bent bent ADJ fuelectenerg-3306 306 9 functions function NOUN fuelectenerg-3306 306 10 f(x1 f(x1 ADJ fuelectenerg-3306 306 11 , , PUNCT fuelectenerg-3306 306 12 x2 x2 PROPN fuelectenerg-3306 306 13 , , PUNCT fuelectenerg-3306 306 14 . . PUNCT fuelectenerg-3306 306 15 . . PUNCT fuelectenerg-3306 307 1 . . PUNCT fuelectenerg-3306 308 1 , , PUNCT fuelectenerg-3306 308 2 xn xn X fuelectenerg-3306 308 3 ) ) PUNCT fuelectenerg-3306 308 4 is be AUX fuelectenerg-3306 308 5 at at ADP fuelectenerg-3306 308 6 most most ADJ fuelectenerg-3306 308 7 n/2 n/2 NOUN fuelectenerg-3306 308 8 for for ADP fuelectenerg-3306 308 9 n n X fuelectenerg-3306 308 10 > > X fuelectenerg-3306 308 11 2 2 X fuelectenerg-3306 308 12 . . PUNCT fuelectenerg-3306 308 13 positions position NOUN fuelectenerg-3306 308 14 of of ADP fuelectenerg-3306 308 15 the the DET fuelectenerg-3306 308 16 non non ADJ fuelectenerg-3306 308 17 - - ADJ fuelectenerg-3306 308 18 zero zero NUM fuelectenerg-3306 308 19 rm rm NOUN fuelectenerg-3306 308 20 coefficients coefficient NOUN fuelectenerg-3306 308 21 in in ADP fuelectenerg-3306 308 22 the the DET fuelectenerg-3306 308 23 sf sf NOUN fuelectenerg-3306 308 24 of of ADP fuelectenerg-3306 308 25 a a DET fuelectenerg-3306 308 26 bent bent ADJ fuelectenerg-3306 308 27 function function NOUN fuelectenerg-3306 308 28 are be AUX fuelectenerg-3306 308 29 related relate VERB fuelectenerg-3306 308 30 with with ADP fuelectenerg-3306 308 31 the the DET fuelectenerg-3306 308 32 order order NOUN fuelectenerg-3306 308 33 of of ADP fuelectenerg-3306 308 34 coefficients coefficient NOUN fuelectenerg-3306 308 35 . . PUNCT fuelectenerg-3306 309 1 for for ADP fuelectenerg-3306 309 2 example example NOUN fuelectenerg-3306 309 3 , , PUNCT fuelectenerg-3306 309 4 the the DET fuelectenerg-3306 309 5 bent bent ADJ fuelectenerg-3306 309 6 functions function NOUN fuelectenerg-3306 309 7 of of ADP fuelectenerg-3306 309 8 four four NUM fuelectenerg-3306 309 9 variables variable NOUN fuelectenerg-3306 309 10 can can AUX fuelectenerg-3306 309 11 have have VERB fuelectenerg-3306 309 12 non non ADJ fuelectenerg-3306 309 13 - - ADJ fuelectenerg-3306 309 14 zero zero NUM fuelectenerg-3306 309 15 rm rm NOUN fuelectenerg-3306 309 16 coefficients coefficient NOUN fuelectenerg-3306 309 17 of of ADP fuelectenerg-3306 309 18 order order NOUN fuelectenerg-3306 309 19 0,1,2 0,1,2 NOUN fuelectenerg-3306 310 1 and and CCONJ fuelectenerg-3306 310 2 the the DET fuelectenerg-3306 310 3 number number NOUN fuelectenerg-3306 310 4 of of ADP fuelectenerg-3306 310 5 ones one NOUN fuelectenerg-3306 310 6 in in ADP fuelectenerg-3306 310 7 the the DET fuelectenerg-3306 310 8 binary binary ADJ fuelectenerg-3306 310 9 representation representation NOUN fuelectenerg-3306 310 10 of of ADP fuelectenerg-3306 310 11 their their PRON fuelectenerg-3306 310 12 vector vector NOUN fuelectenerg-3306 310 13 index index NOUN fuelectenerg-3306 310 14 is be AUX fuelectenerg-3306 310 15 ≤ ≤ NOUN fuelectenerg-3306 310 16 2 2 NUM fuelectenerg-3306 310 17 . . PUNCT fuelectenerg-3306 311 1 in in ADP fuelectenerg-3306 311 2 relation relation NOUN fuelectenerg-3306 311 3 to to ADP fuelectenerg-3306 311 4 that that PRON fuelectenerg-3306 311 5 , , PUNCT fuelectenerg-3306 311 6 the the DET fuelectenerg-3306 311 7 maximal maximal ADJ fuelectenerg-3306 311 8 number number NOUN fuelectenerg-3306 311 9 of of ADP fuelectenerg-3306 311 10 non non ADJ fuelectenerg-3306 311 11 - - ADJ fuelectenerg-3306 311 12 zero zero NUM fuelectenerg-3306 311 13 coefficients coefficient NOUN fuelectenerg-3306 311 14 in in ADP fuelectenerg-3306 311 15 the the DET fuelectenerg-3306 311 16 rm rm NOUN fuelectenerg-3306 311 17 spectrum spectrum NOUN fuelectenerg-3306 311 18 of of ADP fuelectenerg-3306 311 19 bent bent ADJ fuelectenerg-3306 311 20 functions function NOUN fuelectenerg-3306 311 21 is be AUX fuelectenerg-3306 311 22 : : PUNCT fuelectenerg-3306 311 23 n/2 n/2 PROPN fuelectenerg-3306 311 24 ∑ ∑ PUNCT fuelectenerg-3306 311 25 i=0 i=0 PROPN fuelectenerg-3306 311 26 ( ( PUNCT fuelectenerg-3306 311 27 n n NOUN fuelectenerg-3306 311 28 i i PRON fuelectenerg-3306 311 29 ) ) PUNCT fuelectenerg-3306 312 1 = = PUNCT fuelectenerg-3306 313 1 2n−1 2n−1 NUM fuelectenerg-3306 314 1 + + CCONJ fuelectenerg-3306 314 2 1 1 NUM fuelectenerg-3306 314 3 2 2 NUM fuelectenerg-3306 314 4 ( ( PUNCT fuelectenerg-3306 314 5 n n NOUN fuelectenerg-3306 314 6 n n PRON fuelectenerg-3306 314 7 2 2 NUM fuelectenerg-3306 314 8 ) ) PUNCT fuelectenerg-3306 314 9 . . PUNCT fuelectenerg-3306 315 1 ( ( PUNCT fuelectenerg-3306 315 2 11 11 X fuelectenerg-3306 315 3 ) ) PUNCT fuelectenerg-3306 315 4 these these PRON fuelectenerg-3306 315 5 both both DET fuelectenerg-3306 315 6 features feature NOUN fuelectenerg-3306 315 7 will will AUX fuelectenerg-3306 315 8 be be AUX fuelectenerg-3306 315 9 used use VERB fuelectenerg-3306 315 10 in in ADP fuelectenerg-3306 315 11 the the DET fuelectenerg-3306 315 12 present present ADJ fuelectenerg-3306 315 13 paper paper NOUN fuelectenerg-3306 315 14 . . PUNCT fuelectenerg-3306 316 1 6 6 NUM fuelectenerg-3306 316 2 m. m. NOUN fuelectenerg-3306 316 3 radmanović radmanović PROPN fuelectenerg-3306 316 4 and and CCONJ fuelectenerg-3306 316 5 r. r. PROPN fuelectenerg-3306 316 6 stanković stanković PROPN fuelectenerg-3306 316 7 example example NOUN fuelectenerg-3306 316 8 1 1 NUM fuelectenerg-3306 316 9 consider consider VERB fuelectenerg-3306 316 10 for for ADP fuelectenerg-3306 316 11 a a DET fuelectenerg-3306 316 12 bent bent ADJ fuelectenerg-3306 316 13 function function NOUN fuelectenerg-3306 316 14 of of ADP fuelectenerg-3306 316 15 four four NUM fuelectenerg-3306 316 16 variables variable NOUN fuelectenerg-3306 316 17 f(x1 f(x1 ADJ fuelectenerg-3306 316 18 , , PUNCT fuelectenerg-3306 316 19 x2 x2 PROPN fuelectenerg-3306 316 20 , , PUNCT fuelectenerg-3306 316 21 x3 x3 ADJ fuelectenerg-3306 316 22 , , PUNCT fuelectenerg-3306 316 23 x4 x4 PROPN fuelectenerg-3306 316 24 ) ) PUNCT fuelectenerg-3306 316 25 = = SYM fuelectenerg-3306 317 1 x1x2 x1x2 PROPN fuelectenerg-3306 317 2 ⊕ ⊕ PROPN fuelectenerg-3306 317 3 x3x4 x3x4 ADP fuelectenerg-3306 317 4 , , PUNCT fuelectenerg-3306 317 5 given give VERB fuelectenerg-3306 317 6 by by ADP fuelectenerg-3306 317 7 f f PROPN fuelectenerg-3306 317 8 = = PUNCT fuelectenerg-3306 318 1 [ [ X fuelectenerg-3306 318 2 0 0 NUM fuelectenerg-3306 318 3 , , PUNCT fuelectenerg-3306 318 4 0 0 NUM fuelectenerg-3306 318 5 , , PUNCT fuelectenerg-3306 318 6 0 0 NUM fuelectenerg-3306 318 7 , , PUNCT fuelectenerg-3306 318 8 1 1 NUM fuelectenerg-3306 318 9 , , PUNCT fuelectenerg-3306 318 10 0 0 NUM fuelectenerg-3306 318 11 , , PUNCT fuelectenerg-3306 318 12 0 0 NUM fuelectenerg-3306 318 13 , , PUNCT fuelectenerg-3306 318 14 0 0 NUM fuelectenerg-3306 318 15 , , PUNCT fuelectenerg-3306 318 16 1 1 NUM fuelectenerg-3306 318 17 , , PUNCT fuelectenerg-3306 318 18 0 0 NUM fuelectenerg-3306 318 19 , , PUNCT fuelectenerg-3306 318 20 0 0 NUM fuelectenerg-3306 318 21 , , PUNCT fuelectenerg-3306 318 22 0 0 NUM fuelectenerg-3306 318 23 , , PUNCT fuelectenerg-3306 318 24 1 1 NUM fuelectenerg-3306 318 25 , , PUNCT fuelectenerg-3306 318 26 1 1 NUM fuelectenerg-3306 318 27 , , PUNCT fuelectenerg-3306 318 28 1 1 NUM fuelectenerg-3306 318 29 , , PUNCT fuelectenerg-3306 318 30 1 1 NUM fuelectenerg-3306 318 31 , , PUNCT fuelectenerg-3306 318 32 0]t 0]t NUM fuelectenerg-3306 318 33 . . PUNCT fuelectenerg-3306 319 1 the the DET fuelectenerg-3306 319 2 rm rm PROPN fuelectenerg-3306 319 3 spectrum spectrum NOUN fuelectenerg-3306 319 4 is be AUX fuelectenerg-3306 319 5 sf sf INTJ fuelectenerg-3306 319 6 = = PUNCT fuelectenerg-3306 320 1 [ [ X fuelectenerg-3306 320 2 0 0 NUM fuelectenerg-3306 320 3 , , PUNCT fuelectenerg-3306 320 4 0 0 NUM fuelectenerg-3306 320 5 , , PUNCT fuelectenerg-3306 320 6 0 0 NUM fuelectenerg-3306 320 7 , , PUNCT fuelectenerg-3306 320 8 1 1 NUM fuelectenerg-3306 320 9 , , PUNCT fuelectenerg-3306 320 10 0 0 NUM fuelectenerg-3306 320 11 , , PUNCT fuelectenerg-3306 320 12 0 0 NUM fuelectenerg-3306 320 13 , , PUNCT fuelectenerg-3306 320 14 0 0 NUM fuelectenerg-3306 320 15 , , PUNCT fuelectenerg-3306 320 16 0 0 NUM fuelectenerg-3306 320 17 , , PUNCT fuelectenerg-3306 320 18 0 0 NUM fuelectenerg-3306 320 19 , , PUNCT fuelectenerg-3306 320 20 0 0 NUM fuelectenerg-3306 320 21 , , PUNCT fuelectenerg-3306 320 22 0 0 NUM fuelectenerg-3306 320 23 , , PUNCT fuelectenerg-3306 320 24 0 0 NUM fuelectenerg-3306 320 25 , , PUNCT fuelectenerg-3306 320 26 1 1 NUM fuelectenerg-3306 320 27 , , PUNCT fuelectenerg-3306 320 28 0 0 NUM fuelectenerg-3306 320 29 , , PUNCT fuelectenerg-3306 320 30 0 0 NUM fuelectenerg-3306 320 31 , , PUNCT fuelectenerg-3306 320 32 0]t 0]t NUM fuelectenerg-3306 320 33 , , PUNCT fuelectenerg-3306 320 34 from from ADP fuelectenerg-3306 320 35 where where SCONJ fuelectenerg-3306 320 36 the the DET fuelectenerg-3306 320 37 number number NOUN fuelectenerg-3306 320 38 of of ADP fuelectenerg-3306 320 39 non non ADJ fuelectenerg-3306 320 40 - - ADJ fuelectenerg-3306 320 41 zero zero NUM fuelectenerg-3306 320 42 rm rm NOUN fuelectenerg-3306 320 43 coefficients coefficient NOUN fuelectenerg-3306 320 44 is be AUX fuelectenerg-3306 320 45 2 2 NUM fuelectenerg-3306 320 46 and and CCONJ fuelectenerg-3306 320 47 algebraic algebraic ADJ fuelectenerg-3306 320 48 degree degree NOUN fuelectenerg-3306 320 49 is be AUX fuelectenerg-3306 320 50 2 2 NUM fuelectenerg-3306 320 51 ≤ ≤ NUM fuelectenerg-3306 320 52 4/2 4/2 NUM fuelectenerg-3306 320 53 . . PUNCT fuelectenerg-3306 321 1 the the DET fuelectenerg-3306 321 2 walsh walsh PROPN fuelectenerg-3306 321 3 spectrum spectrum VERB fuelectenerg-3306 321 4 with with ADP fuelectenerg-3306 321 5 ( ( PUNCT fuelectenerg-3306 321 6 1,−1 1,−1 X fuelectenerg-3306 321 7 ) ) PUNCT fuelectenerg-3306 321 8 encoding encoding NOUN fuelectenerg-3306 321 9 is be AUX fuelectenerg-3306 321 10 sf sf NOUN fuelectenerg-3306 321 11 , , PUNCT fuelectenerg-3306 321 12 w w NOUN fuelectenerg-3306 322 1 = = PUNCT fuelectenerg-3306 323 1 [ [ X fuelectenerg-3306 323 2 4 4 NUM fuelectenerg-3306 323 3 , , PUNCT fuelectenerg-3306 323 4 4 4 NUM fuelectenerg-3306 323 5 , , PUNCT fuelectenerg-3306 323 6 4,−4 4,−4 PROPN fuelectenerg-3306 323 7 , , PUNCT fuelectenerg-3306 323 8 4 4 NUM fuelectenerg-3306 323 9 , , PUNCT fuelectenerg-3306 323 10 4 4 NUM fuelectenerg-3306 323 11 , , PUNCT fuelectenerg-3306 323 12 4,−4 4,−4 PROPN fuelectenerg-3306 323 13 , , PUNCT fuelectenerg-3306 323 14 4 4 NUM fuelectenerg-3306 323 15 , , PUNCT fuelectenerg-3306 323 16 4 4 NUM fuelectenerg-3306 323 17 , , PUNCT fuelectenerg-3306 323 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 323 19 , , PUNCT fuelectenerg-3306 323 20 4]t 4]t NOUN fuelectenerg-3306 323 21 , , PUNCT fuelectenerg-3306 323 22 where where SCONJ fuelectenerg-3306 323 23 all all DET fuelectenerg-3306 323 24 coefficients coefficient NOUN fuelectenerg-3306 323 25 have have VERB fuelectenerg-3306 323 26 the the DET fuelectenerg-3306 323 27 same same ADJ fuelectenerg-3306 323 28 absolute absolute ADJ fuelectenerg-3306 323 29 value value NOUN fuelectenerg-3306 323 30 22 22 NUM fuelectenerg-3306 323 31 = = SYM fuelectenerg-3306 323 32 4 4 NUM fuelectenerg-3306 323 33 . . NOUN fuelectenerg-3306 323 34 2.4 2.4 NUM fuelectenerg-3306 323 35 construction construction NOUN fuelectenerg-3306 323 36 of of ADP fuelectenerg-3306 323 37 bent bent ADJ fuelectenerg-3306 323 38 functions function NOUN fuelectenerg-3306 323 39 finding find VERB fuelectenerg-3306 323 40 the the DET fuelectenerg-3306 323 41 complete complete ADJ fuelectenerg-3306 323 42 set set NOUN fuelectenerg-3306 323 43 of of ADP fuelectenerg-3306 323 44 bent bent ADJ fuelectenerg-3306 323 45 functions function NOUN fuelectenerg-3306 323 46 for for ADP fuelectenerg-3306 323 47 a a DET fuelectenerg-3306 323 48 given give VERB fuelectenerg-3306 323 49 number number NOUN fuelectenerg-3306 323 50 of of ADP fuelectenerg-3306 323 51 inputs input NOUN fuelectenerg-3306 323 52 is be AUX fuelectenerg-3306 323 53 an an DET fuelectenerg-3306 323 54 open open ADJ fuelectenerg-3306 323 55 problem problem NOUN fuelectenerg-3306 323 56 . . PUNCT fuelectenerg-3306 324 1 there there PRON fuelectenerg-3306 324 2 are be VERB fuelectenerg-3306 324 3 no no DET fuelectenerg-3306 324 4 formal formal ADJ fuelectenerg-3306 324 5 methods method NOUN fuelectenerg-3306 324 6 for for ADP fuelectenerg-3306 324 7 generalization generalization NOUN fuelectenerg-3306 324 8 , , PUNCT fuelectenerg-3306 324 9 construction construction NOUN fuelectenerg-3306 324 10 , , PUNCT fuelectenerg-3306 324 11 or or CCONJ fuelectenerg-3306 324 12 classification classification NOUN fuelectenerg-3306 324 13 of of ADP fuelectenerg-3306 324 14 all all DET fuelectenerg-3306 324 15 bent bent ADJ fuelectenerg-3306 324 16 functions function NOUN fuelectenerg-3306 324 17 for for ADP fuelectenerg-3306 324 18 a a DET fuelectenerg-3306 324 19 given give VERB fuelectenerg-3306 324 20 number number NOUN fuelectenerg-3306 324 21 of of ADP fuelectenerg-3306 324 22 inputs input NOUN fuelectenerg-3306 324 23 . . PUNCT fuelectenerg-3306 325 1 thus thus ADV fuelectenerg-3306 325 2 , , PUNCT fuelectenerg-3306 325 3 it it PRON fuelectenerg-3306 325 4 has have AUX fuelectenerg-3306 325 5 been be AUX fuelectenerg-3306 325 6 developed develop VERB fuelectenerg-3306 325 7 a a DET fuelectenerg-3306 325 8 variety variety NOUN fuelectenerg-3306 325 9 of of ADP fuelectenerg-3306 325 10 approaches approach NOUN fuelectenerg-3306 325 11 for for ADP fuelectenerg-3306 325 12 construction construction NOUN fuelectenerg-3306 325 13 and and CCONJ fuelectenerg-3306 325 14 classification classification NOUN fuelectenerg-3306 325 15 of of ADP fuelectenerg-3306 325 16 bent bent ADJ fuelectenerg-3306 325 17 functions function NOUN fuelectenerg-3306 325 18 with with ADP fuelectenerg-3306 325 19 particular particular ADJ fuelectenerg-3306 325 20 properties property NOUN fuelectenerg-3306 325 21 [ [ X fuelectenerg-3306 325 22 2 2 NUM fuelectenerg-3306 325 23 ] ] PUNCT fuelectenerg-3306 325 24 . . PUNCT fuelectenerg-3306 326 1 however however ADV fuelectenerg-3306 326 2 , , PUNCT fuelectenerg-3306 326 3 bent bent ADJ fuelectenerg-3306 326 4 functions function NOUN fuelectenerg-3306 326 5 that that PRON fuelectenerg-3306 326 6 have have VERB fuelectenerg-3306 326 7 some some DET fuelectenerg-3306 326 8 predefined predefine VERB fuelectenerg-3306 326 9 specific specific ADJ fuelectenerg-3306 326 10 properties property NOUN fuelectenerg-3306 326 11 are be AUX fuelectenerg-3306 326 12 very very ADV fuelectenerg-3306 326 13 rare rare ADJ fuelectenerg-3306 326 14 and and CCONJ fuelectenerg-3306 326 15 they they PRON fuelectenerg-3306 326 16 constitute constitute VERB fuelectenerg-3306 326 17 a a DET fuelectenerg-3306 326 18 rather rather ADV fuelectenerg-3306 326 19 small small ADJ fuelectenerg-3306 326 20 subset subset NOUN fuelectenerg-3306 326 21 of of ADP fuelectenerg-3306 326 22 the the DET fuelectenerg-3306 326 23 total total NOUN fuelectenerg-3306 326 24 of of ADP fuelectenerg-3306 326 25 all all DET fuelectenerg-3306 326 26 bent bent ADJ fuelectenerg-3306 326 27 functions function NOUN fuelectenerg-3306 326 28 . . PUNCT fuelectenerg-3306 327 1 therefore therefore ADV fuelectenerg-3306 327 2 , , PUNCT fuelectenerg-3306 327 3 it it PRON fuelectenerg-3306 327 4 is be AUX fuelectenerg-3306 327 5 important important ADJ fuelectenerg-3306 327 6 to to PART fuelectenerg-3306 327 7 define define VERB fuelectenerg-3306 327 8 different different ADJ fuelectenerg-3306 327 9 approaches approach NOUN fuelectenerg-3306 327 10 for for ADP fuelectenerg-3306 327 11 determination determination NOUN fuelectenerg-3306 327 12 of of ADP fuelectenerg-3306 327 13 bent bent ADJ fuelectenerg-3306 327 14 functions function NOUN fuelectenerg-3306 327 15 . . PUNCT fuelectenerg-3306 328 1 different different ADJ fuelectenerg-3306 328 2 classes class NOUN fuelectenerg-3306 328 3 of of ADP fuelectenerg-3306 328 4 bent bent ADJ fuelectenerg-3306 328 5 functions function NOUN fuelectenerg-3306 328 6 are be AUX fuelectenerg-3306 328 7 focused focus VERB fuelectenerg-3306 328 8 on on ADP fuelectenerg-3306 328 9 bent bent ADJ fuelectenerg-3306 328 10 functions function NOUN fuelectenerg-3306 328 11 satisfying satisfy VERB fuelectenerg-3306 328 12 certain certain ADJ fuelectenerg-3306 328 13 additional additional ADJ fuelectenerg-3306 328 14 conditions condition NOUN fuelectenerg-3306 328 15 . . PUNCT fuelectenerg-3306 329 1 for for ADP fuelectenerg-3306 329 2 example example NOUN fuelectenerg-3306 329 3 , , PUNCT fuelectenerg-3306 329 4 quadratic quadratic ADJ fuelectenerg-3306 329 5 bent bent ADJ fuelectenerg-3306 329 6 functions function NOUN fuelectenerg-3306 329 7 have have VERB fuelectenerg-3306 329 8 an an DET fuelectenerg-3306 329 9 important important ADJ fuelectenerg-3306 329 10 place place NOUN fuelectenerg-3306 329 11 in in ADP fuelectenerg-3306 329 12 bent bent ADJ fuelectenerg-3306 329 13 function function NOUN fuelectenerg-3306 329 14 construction construction NOUN fuelectenerg-3306 329 15 . . PUNCT fuelectenerg-3306 330 1 all all DET fuelectenerg-3306 330 2 bent bent ADJ fuelectenerg-3306 330 3 functions function NOUN fuelectenerg-3306 330 4 from from ADP fuelectenerg-3306 330 5 this this DET fuelectenerg-3306 330 6 class class NOUN fuelectenerg-3306 330 7 are be AUX fuelectenerg-3306 330 8 known know VERB fuelectenerg-3306 330 9 and and CCONJ fuelectenerg-3306 330 10 they they PRON fuelectenerg-3306 330 11 can can AUX fuelectenerg-3306 330 12 be be AUX fuelectenerg-3306 330 13 obtained obtain VERB fuelectenerg-3306 330 14 by by ADP fuelectenerg-3306 330 15 applying apply VERB fuelectenerg-3306 330 16 the the DET fuelectenerg-3306 330 17 affine affine NOUN fuelectenerg-3306 330 18 transformations transformation NOUN fuelectenerg-3306 330 19 to to ADP fuelectenerg-3306 330 20 the the DET fuelectenerg-3306 330 21 variables variable NOUN fuelectenerg-3306 330 22 of of ADP fuelectenerg-3306 330 23 the the DET fuelectenerg-3306 330 24 function function NOUN fuelectenerg-3306 330 25 [ [ X fuelectenerg-3306 330 26 7 7 NUM fuelectenerg-3306 330 27 ] ] PUNCT fuelectenerg-3306 330 28 . . PUNCT fuelectenerg-3306 331 1 two two NUM fuelectenerg-3306 331 2 most most ADV fuelectenerg-3306 331 3 known know VERB fuelectenerg-3306 331 4 approaches approach NOUN fuelectenerg-3306 331 5 for for ADP fuelectenerg-3306 331 6 construction construction NOUN fuelectenerg-3306 331 7 classification classification NOUN fuelectenerg-3306 331 8 of of ADP fuelectenerg-3306 331 9 bent bent ADJ fuelectenerg-3306 331 10 functions function NOUN fuelectenerg-3306 331 11 are be AUX fuelectenerg-3306 331 12 based base VERB fuelectenerg-3306 331 13 on on ADP fuelectenerg-3306 331 14 a a DET fuelectenerg-3306 331 15 combinatorial combinatorial ADJ fuelectenerg-3306 331 16 construction construction NOUN fuelectenerg-3306 331 17 and and CCONJ fuelectenerg-3306 331 18 an an DET fuelectenerg-3306 331 19 algebraic algebraic ADJ fuelectenerg-3306 331 20 construction construction NOUN fuelectenerg-3306 331 21 of of ADP fuelectenerg-3306 331 22 functions function NOUN fuelectenerg-3306 331 23 [ [ X fuelectenerg-3306 331 24 2 2 NUM fuelectenerg-3306 331 25 ] ] PUNCT fuelectenerg-3306 331 26 . . PUNCT fuelectenerg-3306 332 1 the the DET fuelectenerg-3306 332 2 well well ADV fuelectenerg-3306 332 3 - - PUNCT fuelectenerg-3306 332 4 known know VERB fuelectenerg-3306 332 5 combinatorial combinatorial ADJ fuelectenerg-3306 332 6 constructions construction NOUN fuelectenerg-3306 332 7 are be AUX fuelectenerg-3306 332 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 332 9 [ [ X fuelectenerg-3306 332 10 8 8 NUM fuelectenerg-3306 332 11 ] ] PUNCT fuelectenerg-3306 332 12 , , PUNCT fuelectenerg-3306 332 13 partial partial ADJ fuelectenerg-3306 332 14 spreads spread VERB fuelectenerg-3306 332 15 [ [ PUNCT fuelectenerg-3306 332 16 9 9 NUM fuelectenerg-3306 332 17 ] ] PUNCT fuelectenerg-3306 332 18 , , PUNCT fuelectenerg-3306 332 19 dobbertin dobbertin ADJ fuelectenerg-3306 333 1 [ [ X fuelectenerg-3306 333 2 10 10 NUM fuelectenerg-3306 333 3 ] ] PUNCT fuelectenerg-3306 333 4 , , PUNCT fuelectenerg-3306 333 5 iterative iterative ADJ fuelectenerg-3306 333 6 constructions construction NOUN fuelectenerg-3306 334 1 [ [ X fuelectenerg-3306 334 2 11 11 NUM fuelectenerg-3306 334 3 ] ] PUNCT fuelectenerg-3306 334 4 , , PUNCT fuelectenerg-3306 334 5 minterm minterm NOUN fuelectenerg-3306 334 6 constructions construction NOUN fuelectenerg-3306 334 7 [ [ X fuelectenerg-3306 334 8 12 12 NUM fuelectenerg-3306 334 9 ] ] PUNCT fuelectenerg-3306 334 10 , , PUNCT fuelectenerg-3306 334 11 maiorana maiorana PROPN fuelectenerg-3306 334 12 - - PUNCT fuelectenerg-3306 334 13 mcfarland mcfarland PROPN fuelectenerg-3306 334 14 super super ADJ fuelectenerg-3306 334 15 class class NOUN fuelectenerg-3306 335 1 [ [ X fuelectenerg-3306 335 2 13 13 NUM fuelectenerg-3306 335 3 ] ] PUNCT fuelectenerg-3306 335 4 , , PUNCT fuelectenerg-3306 335 5 etc etc X fuelectenerg-3306 335 6 . . X fuelectenerg-3306 335 7 the the DET fuelectenerg-3306 335 8 most most ADV fuelectenerg-3306 335 9 widely widely ADV fuelectenerg-3306 335 10 known know VERB fuelectenerg-3306 335 11 algebraic algebraic ADJ fuelectenerg-3306 335 12 constructions construction NOUN fuelectenerg-3306 335 13 are be AUX fuelectenerg-3306 335 14 monomial monomial ADJ fuelectenerg-3306 335 15 bent bent ADJ fuelectenerg-3306 335 16 functions function NOUN fuelectenerg-3306 335 17 in in ADP fuelectenerg-3306 335 18 the the DET fuelectenerg-3306 335 19 kasami kasami NOUN fuelectenerg-3306 335 20 , , PUNCT fuelectenerg-3306 335 21 gold gold NOUN fuelectenerg-3306 335 22 , , PUNCT fuelectenerg-3306 335 23 dillon dillon PROPN fuelectenerg-3306 335 24 and and CCONJ fuelectenerg-3306 335 25 canteaut canteaut NOUN fuelectenerg-3306 335 26 - - PUNCT fuelectenerg-3306 335 27 leander leander NOUN fuelectenerg-3306 335 28 case case NOUN fuelectenerg-3306 335 29 [ [ X fuelectenerg-3306 335 30 14 14 NUM fuelectenerg-3306 335 31 ] ] PUNCT fuelectenerg-3306 335 32 , , PUNCT fuelectenerg-3306 335 33 hyper hyper ADJ fuelectenerg-3306 335 34 bent bent ADJ fuelectenerg-3306 335 35 functions function NOUN fuelectenerg-3306 335 36 [ [ X fuelectenerg-3306 335 37 15 15 NUM fuelectenerg-3306 335 38 ] ] PUNCT fuelectenerg-3306 335 39 , , PUNCT fuelectenerg-3306 335 40 niho niho ADJ fuelectenerg-3306 335 41 bent bent ADJ fuelectenerg-3306 335 42 functions function NOUN fuelectenerg-3306 335 43 [ [ X fuelectenerg-3306 335 44 16 16 NUM fuelectenerg-3306 335 45 ] ] PUNCT fuelectenerg-3306 335 46 , , PUNCT fuelectenerg-3306 335 47 etc etc X fuelectenerg-3306 335 48 . . X fuelectenerg-3306 335 49 3 3 NUM fuelectenerg-3306 335 50 subsets subset NOUN fuelectenerg-3306 335 51 of of ADP fuelectenerg-3306 335 52 bent bent ADJ fuelectenerg-3306 335 53 functions function NOUN fuelectenerg-3306 335 54 in in ADP fuelectenerg-3306 335 55 the the DET fuelectenerg-3306 335 56 rm rm NOUN fuelectenerg-3306 335 57 domain domain NOUN fuelectenerg-3306 335 58 in in ADP fuelectenerg-3306 335 59 this this DET fuelectenerg-3306 335 60 paper paper NOUN fuelectenerg-3306 335 61 , , PUNCT fuelectenerg-3306 335 62 we we PRON fuelectenerg-3306 335 63 propose propose VERB fuelectenerg-3306 335 64 to to PART fuelectenerg-3306 335 65 split split VERB fuelectenerg-3306 335 66 the the DET fuelectenerg-3306 335 67 set set NOUN fuelectenerg-3306 335 68 of of ADP fuelectenerg-3306 335 69 all all DET fuelectenerg-3306 335 70 boolean boolean ADJ fuelectenerg-3306 335 71 functions function NOUN fuelectenerg-3306 335 72 with with ADP fuelectenerg-3306 335 73 respect respect NOUN fuelectenerg-3306 335 74 to to ADP fuelectenerg-3306 335 75 three three NUM fuelectenerg-3306 335 76 different different ADJ fuelectenerg-3306 335 77 criteria criterion NOUN fuelectenerg-3306 335 78 related relate VERB fuelectenerg-3306 335 79 to to ADP fuelectenerg-3306 335 80 the the DET fuelectenerg-3306 335 81 properties property NOUN fuelectenerg-3306 335 82 of of ADP fuelectenerg-3306 335 83 rm rm PROPN fuelectenerg-3306 335 84 - - PUNCT fuelectenerg-3306 335 85 spectra spectra PROPN fuelectenerg-3306 335 86 of of ADP fuelectenerg-3306 335 87 bent bent ADJ fuelectenerg-3306 335 88 functions function NOUN fuelectenerg-3306 335 89 : : PUNCT fuelectenerg-3306 336 1 1 1 X fuelectenerg-3306 336 2 . . PUNCT fuelectenerg-3306 336 3 the the DET fuelectenerg-3306 336 4 number number NOUN fuelectenerg-3306 336 5 of of ADP fuelectenerg-3306 336 6 non non ADJ fuelectenerg-3306 336 7 - - ADJ fuelectenerg-3306 336 8 zero zero NUM fuelectenerg-3306 336 9 rm rm NOUN fuelectenerg-3306 336 10 - - PUNCT fuelectenerg-3306 336 11 coefficients coefficient NOUN fuelectenerg-3306 336 12 . . PUNCT fuelectenerg-3306 337 1 we we PRON fuelectenerg-3306 337 2 call call VERB fuelectenerg-3306 337 3 it it PRON fuelectenerg-3306 337 4 the the DET fuelectenerg-3306 337 5 vertical vertical ADJ fuelectenerg-3306 337 6 subset subset NOUN fuelectenerg-3306 337 7 . . PUNCT fuelectenerg-3306 338 1 2 2 X fuelectenerg-3306 338 2 . . X fuelectenerg-3306 338 3 the the DET fuelectenerg-3306 338 4 orders order NOUN fuelectenerg-3306 338 5 of of ADP fuelectenerg-3306 338 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 338 7 defined define VERB fuelectenerg-3306 338 8 as as ADP fuelectenerg-3306 338 9 the the DET fuelectenerg-3306 338 10 maximum maximum ADJ fuelectenerg-3306 338 11 number number NOUN fuelectenerg-3306 338 12 of of ADP fuelectenerg-3306 338 13 variables variable NOUN fuelectenerg-3306 338 14 6 6 NUM fuelectenerg-3306 338 15 m. m. NOUN fuelectenerg-3306 338 16 radmanović radmanović PROPN fuelectenerg-3306 338 17 and and CCONJ fuelectenerg-3306 338 18 r. r. PROPN fuelectenerg-3306 338 19 stanković stanković PROPN fuelectenerg-3306 338 20 example example NOUN fuelectenerg-3306 338 21 1 1 NUM fuelectenerg-3306 338 22 consider consider VERB fuelectenerg-3306 338 23 for for ADP fuelectenerg-3306 338 24 a a DET fuelectenerg-3306 338 25 bent bent ADJ fuelectenerg-3306 338 26 function function NOUN fuelectenerg-3306 338 27 of of ADP fuelectenerg-3306 338 28 four four NUM fuelectenerg-3306 338 29 variables variable NOUN fuelectenerg-3306 338 30 f(x1 f(x1 ADJ fuelectenerg-3306 338 31 , , PUNCT fuelectenerg-3306 338 32 x2 x2 PROPN fuelectenerg-3306 338 33 , , PUNCT fuelectenerg-3306 338 34 x3 x3 ADJ fuelectenerg-3306 338 35 , , PUNCT fuelectenerg-3306 338 36 x4 x4 PROPN fuelectenerg-3306 338 37 ) ) PUNCT fuelectenerg-3306 338 38 = = SYM fuelectenerg-3306 339 1 x1x2 x1x2 PROPN fuelectenerg-3306 339 2 ⊕ ⊕ PROPN fuelectenerg-3306 339 3 x3x4 x3x4 ADP fuelectenerg-3306 339 4 , , PUNCT fuelectenerg-3306 339 5 given give VERB fuelectenerg-3306 339 6 by by ADP fuelectenerg-3306 339 7 f f PROPN fuelectenerg-3306 339 8 = = PUNCT fuelectenerg-3306 340 1 [ [ X fuelectenerg-3306 340 2 0 0 NUM fuelectenerg-3306 340 3 , , PUNCT fuelectenerg-3306 340 4 0 0 NUM fuelectenerg-3306 340 5 , , PUNCT fuelectenerg-3306 340 6 0 0 NUM fuelectenerg-3306 340 7 , , PUNCT fuelectenerg-3306 340 8 1 1 NUM fuelectenerg-3306 340 9 , , PUNCT fuelectenerg-3306 340 10 0 0 NUM fuelectenerg-3306 340 11 , , PUNCT fuelectenerg-3306 340 12 0 0 NUM fuelectenerg-3306 340 13 , , PUNCT fuelectenerg-3306 340 14 0 0 NUM fuelectenerg-3306 340 15 , , PUNCT fuelectenerg-3306 340 16 1 1 NUM fuelectenerg-3306 340 17 , , PUNCT fuelectenerg-3306 340 18 0 0 NUM fuelectenerg-3306 340 19 , , PUNCT fuelectenerg-3306 340 20 0 0 NUM fuelectenerg-3306 340 21 , , PUNCT fuelectenerg-3306 340 22 0 0 NUM fuelectenerg-3306 340 23 , , PUNCT fuelectenerg-3306 340 24 1 1 NUM fuelectenerg-3306 340 25 , , PUNCT fuelectenerg-3306 340 26 1 1 NUM fuelectenerg-3306 340 27 , , PUNCT fuelectenerg-3306 340 28 1 1 NUM fuelectenerg-3306 340 29 , , PUNCT fuelectenerg-3306 340 30 1 1 NUM fuelectenerg-3306 340 31 , , PUNCT fuelectenerg-3306 340 32 0]t 0]t NUM fuelectenerg-3306 340 33 . . PUNCT fuelectenerg-3306 341 1 the the DET fuelectenerg-3306 341 2 rm rm PROPN fuelectenerg-3306 341 3 spectrum spectrum NOUN fuelectenerg-3306 341 4 is be AUX fuelectenerg-3306 341 5 sf sf INTJ fuelectenerg-3306 341 6 = = PUNCT fuelectenerg-3306 342 1 [ [ X fuelectenerg-3306 342 2 0 0 NUM fuelectenerg-3306 342 3 , , PUNCT fuelectenerg-3306 342 4 0 0 NUM fuelectenerg-3306 342 5 , , PUNCT fuelectenerg-3306 342 6 0 0 NUM fuelectenerg-3306 342 7 , , PUNCT fuelectenerg-3306 342 8 1 1 NUM fuelectenerg-3306 342 9 , , PUNCT fuelectenerg-3306 342 10 0 0 NUM fuelectenerg-3306 342 11 , , PUNCT fuelectenerg-3306 342 12 0 0 NUM fuelectenerg-3306 342 13 , , PUNCT fuelectenerg-3306 342 14 0 0 NUM fuelectenerg-3306 342 15 , , PUNCT fuelectenerg-3306 342 16 0 0 NUM fuelectenerg-3306 342 17 , , PUNCT fuelectenerg-3306 342 18 0 0 NUM fuelectenerg-3306 342 19 , , PUNCT fuelectenerg-3306 342 20 0 0 NUM fuelectenerg-3306 342 21 , , PUNCT fuelectenerg-3306 342 22 0 0 NUM fuelectenerg-3306 342 23 , , PUNCT fuelectenerg-3306 342 24 0 0 NUM fuelectenerg-3306 342 25 , , PUNCT fuelectenerg-3306 342 26 1 1 NUM fuelectenerg-3306 342 27 , , PUNCT fuelectenerg-3306 342 28 0 0 NUM fuelectenerg-3306 342 29 , , PUNCT fuelectenerg-3306 342 30 0 0 NUM fuelectenerg-3306 342 31 , , PUNCT fuelectenerg-3306 342 32 0]t 0]t NUM fuelectenerg-3306 342 33 , , PUNCT fuelectenerg-3306 342 34 from from ADP fuelectenerg-3306 342 35 where where SCONJ fuelectenerg-3306 342 36 the the DET fuelectenerg-3306 342 37 number number NOUN fuelectenerg-3306 342 38 of of ADP fuelectenerg-3306 342 39 non non ADJ fuelectenerg-3306 342 40 - - ADJ fuelectenerg-3306 342 41 zero zero NUM fuelectenerg-3306 342 42 rm rm NOUN fuelectenerg-3306 342 43 coefficients coefficient NOUN fuelectenerg-3306 342 44 is be AUX fuelectenerg-3306 342 45 2 2 NUM fuelectenerg-3306 342 46 and and CCONJ fuelectenerg-3306 342 47 algebraic algebraic ADJ fuelectenerg-3306 342 48 degree degree NOUN fuelectenerg-3306 342 49 is be AUX fuelectenerg-3306 342 50 2 2 NUM fuelectenerg-3306 342 51 ≤ ≤ NUM fuelectenerg-3306 342 52 4/2 4/2 NUM fuelectenerg-3306 342 53 . . PUNCT fuelectenerg-3306 343 1 the the DET fuelectenerg-3306 343 2 walsh walsh PROPN fuelectenerg-3306 343 3 spectrum spectrum VERB fuelectenerg-3306 343 4 with with ADP fuelectenerg-3306 343 5 ( ( PUNCT fuelectenerg-3306 343 6 1,−1 1,−1 X fuelectenerg-3306 343 7 ) ) PUNCT fuelectenerg-3306 343 8 encoding encoding NOUN fuelectenerg-3306 343 9 is be AUX fuelectenerg-3306 343 10 sf sf NOUN fuelectenerg-3306 343 11 , , PUNCT fuelectenerg-3306 343 12 w w NOUN fuelectenerg-3306 344 1 = = PUNCT fuelectenerg-3306 345 1 [ [ X fuelectenerg-3306 345 2 4 4 NUM fuelectenerg-3306 345 3 , , PUNCT fuelectenerg-3306 345 4 4 4 NUM fuelectenerg-3306 345 5 , , PUNCT fuelectenerg-3306 345 6 4,−4 4,−4 PROPN fuelectenerg-3306 345 7 , , PUNCT fuelectenerg-3306 345 8 4 4 NUM fuelectenerg-3306 345 9 , , PUNCT fuelectenerg-3306 345 10 4 4 NUM fuelectenerg-3306 345 11 , , PUNCT fuelectenerg-3306 345 12 4,−4 4,−4 PROPN fuelectenerg-3306 345 13 , , PUNCT fuelectenerg-3306 345 14 4 4 NUM fuelectenerg-3306 345 15 , , PUNCT fuelectenerg-3306 345 16 4 4 NUM fuelectenerg-3306 345 17 , , PUNCT fuelectenerg-3306 345 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 345 19 , , PUNCT fuelectenerg-3306 345 20 4]t 4]t NOUN fuelectenerg-3306 345 21 , , PUNCT fuelectenerg-3306 345 22 where where SCONJ fuelectenerg-3306 345 23 all all DET fuelectenerg-3306 345 24 coefficients coefficient NOUN fuelectenerg-3306 345 25 have have VERB fuelectenerg-3306 345 26 the the DET fuelectenerg-3306 345 27 same same ADJ fuelectenerg-3306 345 28 absolute absolute ADJ fuelectenerg-3306 345 29 value value NOUN fuelectenerg-3306 345 30 22 22 NUM fuelectenerg-3306 345 31 = = SYM fuelectenerg-3306 345 32 4 4 NUM fuelectenerg-3306 345 33 . . NOUN fuelectenerg-3306 345 34 2.4 2.4 NUM fuelectenerg-3306 345 35 construction construction NOUN fuelectenerg-3306 345 36 of of ADP fuelectenerg-3306 345 37 bent bent ADJ fuelectenerg-3306 345 38 functions function NOUN fuelectenerg-3306 345 39 finding find VERB fuelectenerg-3306 345 40 the the DET fuelectenerg-3306 345 41 complete complete ADJ fuelectenerg-3306 345 42 set set NOUN fuelectenerg-3306 345 43 of of ADP fuelectenerg-3306 345 44 bent bent ADJ fuelectenerg-3306 345 45 functions function NOUN fuelectenerg-3306 345 46 for for ADP fuelectenerg-3306 345 47 a a DET fuelectenerg-3306 345 48 given give VERB fuelectenerg-3306 345 49 number number NOUN fuelectenerg-3306 345 50 of of ADP fuelectenerg-3306 345 51 inputs input NOUN fuelectenerg-3306 345 52 is be AUX fuelectenerg-3306 345 53 an an DET fuelectenerg-3306 345 54 open open ADJ fuelectenerg-3306 345 55 problem problem NOUN fuelectenerg-3306 345 56 . . PUNCT fuelectenerg-3306 346 1 there there PRON fuelectenerg-3306 346 2 are be VERB fuelectenerg-3306 346 3 no no DET fuelectenerg-3306 346 4 formal formal ADJ fuelectenerg-3306 346 5 methods method NOUN fuelectenerg-3306 346 6 for for ADP fuelectenerg-3306 346 7 generalization generalization NOUN fuelectenerg-3306 346 8 , , PUNCT fuelectenerg-3306 346 9 construction construction NOUN fuelectenerg-3306 346 10 , , PUNCT fuelectenerg-3306 346 11 or or CCONJ fuelectenerg-3306 346 12 classification classification NOUN fuelectenerg-3306 346 13 of of ADP fuelectenerg-3306 346 14 all all DET fuelectenerg-3306 346 15 bent bent ADJ fuelectenerg-3306 346 16 functions function NOUN fuelectenerg-3306 346 17 for for ADP fuelectenerg-3306 346 18 a a DET fuelectenerg-3306 346 19 given give VERB fuelectenerg-3306 346 20 number number NOUN fuelectenerg-3306 346 21 of of ADP fuelectenerg-3306 346 22 inputs input NOUN fuelectenerg-3306 346 23 . . PUNCT fuelectenerg-3306 347 1 thus thus ADV fuelectenerg-3306 347 2 , , PUNCT fuelectenerg-3306 347 3 it it PRON fuelectenerg-3306 347 4 has have AUX fuelectenerg-3306 347 5 been be AUX fuelectenerg-3306 347 6 developed develop VERB fuelectenerg-3306 347 7 a a DET fuelectenerg-3306 347 8 variety variety NOUN fuelectenerg-3306 347 9 of of ADP fuelectenerg-3306 347 10 approaches approach NOUN fuelectenerg-3306 347 11 for for ADP fuelectenerg-3306 347 12 construction construction NOUN fuelectenerg-3306 347 13 and and CCONJ fuelectenerg-3306 347 14 classification classification NOUN fuelectenerg-3306 347 15 of of ADP fuelectenerg-3306 347 16 bent bent ADJ fuelectenerg-3306 347 17 functions function NOUN fuelectenerg-3306 347 18 with with ADP fuelectenerg-3306 347 19 particular particular ADJ fuelectenerg-3306 347 20 properties property NOUN fuelectenerg-3306 347 21 [ [ X fuelectenerg-3306 347 22 2 2 NUM fuelectenerg-3306 347 23 ] ] PUNCT fuelectenerg-3306 347 24 . . PUNCT fuelectenerg-3306 348 1 however however ADV fuelectenerg-3306 348 2 , , PUNCT fuelectenerg-3306 348 3 bent bent ADJ fuelectenerg-3306 348 4 functions function NOUN fuelectenerg-3306 348 5 that that PRON fuelectenerg-3306 348 6 have have VERB fuelectenerg-3306 348 7 some some DET fuelectenerg-3306 348 8 predefined predefine VERB fuelectenerg-3306 348 9 specific specific ADJ fuelectenerg-3306 348 10 properties property NOUN fuelectenerg-3306 348 11 are be AUX fuelectenerg-3306 348 12 very very ADV fuelectenerg-3306 348 13 rare rare ADJ fuelectenerg-3306 348 14 and and CCONJ fuelectenerg-3306 348 15 they they PRON fuelectenerg-3306 348 16 constitute constitute VERB fuelectenerg-3306 348 17 a a DET fuelectenerg-3306 348 18 rather rather ADV fuelectenerg-3306 348 19 small small ADJ fuelectenerg-3306 348 20 subset subset NOUN fuelectenerg-3306 348 21 of of ADP fuelectenerg-3306 348 22 the the DET fuelectenerg-3306 348 23 total total NOUN fuelectenerg-3306 348 24 of of ADP fuelectenerg-3306 348 25 all all DET fuelectenerg-3306 348 26 bent bent ADJ fuelectenerg-3306 348 27 functions function NOUN fuelectenerg-3306 348 28 . . PUNCT fuelectenerg-3306 349 1 therefore therefore ADV fuelectenerg-3306 349 2 , , PUNCT fuelectenerg-3306 349 3 it it PRON fuelectenerg-3306 349 4 is be AUX fuelectenerg-3306 349 5 important important ADJ fuelectenerg-3306 349 6 to to PART fuelectenerg-3306 349 7 define define VERB fuelectenerg-3306 349 8 different different ADJ fuelectenerg-3306 349 9 approaches approach NOUN fuelectenerg-3306 349 10 for for ADP fuelectenerg-3306 349 11 determination determination NOUN fuelectenerg-3306 349 12 of of ADP fuelectenerg-3306 349 13 bent bent ADJ fuelectenerg-3306 349 14 functions function NOUN fuelectenerg-3306 349 15 . . PUNCT fuelectenerg-3306 350 1 different different ADJ fuelectenerg-3306 350 2 classes class NOUN fuelectenerg-3306 350 3 of of ADP fuelectenerg-3306 350 4 bent bent ADJ fuelectenerg-3306 350 5 functions function NOUN fuelectenerg-3306 350 6 are be AUX fuelectenerg-3306 350 7 focused focus VERB fuelectenerg-3306 350 8 on on ADP fuelectenerg-3306 350 9 bent bent ADJ fuelectenerg-3306 350 10 functions function NOUN fuelectenerg-3306 350 11 satisfying satisfy VERB fuelectenerg-3306 350 12 certain certain ADJ fuelectenerg-3306 350 13 additional additional ADJ fuelectenerg-3306 350 14 conditions condition NOUN fuelectenerg-3306 350 15 . . PUNCT fuelectenerg-3306 351 1 for for ADP fuelectenerg-3306 351 2 example example NOUN fuelectenerg-3306 351 3 , , PUNCT fuelectenerg-3306 351 4 quadratic quadratic ADJ fuelectenerg-3306 351 5 bent bent ADJ fuelectenerg-3306 351 6 functions function NOUN fuelectenerg-3306 351 7 have have VERB fuelectenerg-3306 351 8 an an DET fuelectenerg-3306 351 9 important important ADJ fuelectenerg-3306 351 10 place place NOUN fuelectenerg-3306 351 11 in in ADP fuelectenerg-3306 351 12 bent bent ADJ fuelectenerg-3306 351 13 function function NOUN fuelectenerg-3306 351 14 construction construction NOUN fuelectenerg-3306 351 15 . . PUNCT fuelectenerg-3306 352 1 all all DET fuelectenerg-3306 352 2 bent bent ADJ fuelectenerg-3306 352 3 functions function NOUN fuelectenerg-3306 352 4 from from ADP fuelectenerg-3306 352 5 this this DET fuelectenerg-3306 352 6 class class NOUN fuelectenerg-3306 352 7 are be AUX fuelectenerg-3306 352 8 known know VERB fuelectenerg-3306 352 9 and and CCONJ fuelectenerg-3306 352 10 they they PRON fuelectenerg-3306 352 11 can can AUX fuelectenerg-3306 352 12 be be AUX fuelectenerg-3306 352 13 obtained obtain VERB fuelectenerg-3306 352 14 by by ADP fuelectenerg-3306 352 15 applying apply VERB fuelectenerg-3306 352 16 the the DET fuelectenerg-3306 352 17 affine affine NOUN fuelectenerg-3306 352 18 transformations transformation NOUN fuelectenerg-3306 352 19 to to ADP fuelectenerg-3306 352 20 the the DET fuelectenerg-3306 352 21 variables variable NOUN fuelectenerg-3306 352 22 of of ADP fuelectenerg-3306 352 23 the the DET fuelectenerg-3306 352 24 function function NOUN fuelectenerg-3306 352 25 [ [ X fuelectenerg-3306 352 26 7 7 NUM fuelectenerg-3306 352 27 ] ] PUNCT fuelectenerg-3306 352 28 . . PUNCT fuelectenerg-3306 353 1 two two NUM fuelectenerg-3306 353 2 most most ADV fuelectenerg-3306 353 3 known know VERB fuelectenerg-3306 353 4 approaches approach NOUN fuelectenerg-3306 353 5 for for ADP fuelectenerg-3306 353 6 construction construction NOUN fuelectenerg-3306 353 7 classification classification NOUN fuelectenerg-3306 353 8 of of ADP fuelectenerg-3306 353 9 bent bent ADJ fuelectenerg-3306 353 10 functions function NOUN fuelectenerg-3306 353 11 are be AUX fuelectenerg-3306 353 12 based base VERB fuelectenerg-3306 353 13 on on ADP fuelectenerg-3306 353 14 a a DET fuelectenerg-3306 353 15 combinatorial combinatorial ADJ fuelectenerg-3306 353 16 construction construction NOUN fuelectenerg-3306 353 17 and and CCONJ fuelectenerg-3306 353 18 an an DET fuelectenerg-3306 353 19 algebraic algebraic ADJ fuelectenerg-3306 353 20 construction construction NOUN fuelectenerg-3306 353 21 of of ADP fuelectenerg-3306 353 22 functions function NOUN fuelectenerg-3306 353 23 [ [ X fuelectenerg-3306 353 24 2 2 NUM fuelectenerg-3306 353 25 ] ] PUNCT fuelectenerg-3306 353 26 . . PUNCT fuelectenerg-3306 354 1 the the DET fuelectenerg-3306 354 2 well well ADV fuelectenerg-3306 354 3 - - PUNCT fuelectenerg-3306 354 4 known know VERB fuelectenerg-3306 354 5 combinatorial combinatorial ADJ fuelectenerg-3306 354 6 constructions construction NOUN fuelectenerg-3306 354 7 are be AUX fuelectenerg-3306 354 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 354 9 [ [ X fuelectenerg-3306 354 10 8 8 NUM fuelectenerg-3306 354 11 ] ] PUNCT fuelectenerg-3306 354 12 , , PUNCT fuelectenerg-3306 354 13 partial partial ADJ fuelectenerg-3306 354 14 spreads spread VERB fuelectenerg-3306 354 15 [ [ PUNCT fuelectenerg-3306 354 16 9 9 NUM fuelectenerg-3306 354 17 ] ] PUNCT fuelectenerg-3306 354 18 , , PUNCT fuelectenerg-3306 354 19 dobbertin dobbertin ADJ fuelectenerg-3306 355 1 [ [ X fuelectenerg-3306 355 2 10 10 NUM fuelectenerg-3306 355 3 ] ] PUNCT fuelectenerg-3306 355 4 , , PUNCT fuelectenerg-3306 355 5 iterative iterative ADJ fuelectenerg-3306 355 6 constructions construction NOUN fuelectenerg-3306 356 1 [ [ X fuelectenerg-3306 356 2 11 11 NUM fuelectenerg-3306 356 3 ] ] PUNCT fuelectenerg-3306 356 4 , , PUNCT fuelectenerg-3306 356 5 minterm minterm NOUN fuelectenerg-3306 356 6 constructions construction NOUN fuelectenerg-3306 356 7 [ [ X fuelectenerg-3306 356 8 12 12 NUM fuelectenerg-3306 356 9 ] ] PUNCT fuelectenerg-3306 356 10 , , PUNCT fuelectenerg-3306 356 11 maiorana maiorana PROPN fuelectenerg-3306 356 12 - - PUNCT fuelectenerg-3306 356 13 mcfarland mcfarland PROPN fuelectenerg-3306 356 14 super super ADJ fuelectenerg-3306 356 15 class class NOUN fuelectenerg-3306 357 1 [ [ X fuelectenerg-3306 357 2 13 13 NUM fuelectenerg-3306 357 3 ] ] PUNCT fuelectenerg-3306 357 4 , , PUNCT fuelectenerg-3306 357 5 etc etc X fuelectenerg-3306 357 6 . . X fuelectenerg-3306 357 7 the the DET fuelectenerg-3306 357 8 most most ADV fuelectenerg-3306 357 9 widely widely ADV fuelectenerg-3306 357 10 known know VERB fuelectenerg-3306 357 11 algebraic algebraic ADJ fuelectenerg-3306 357 12 constructions construction NOUN fuelectenerg-3306 357 13 are be AUX fuelectenerg-3306 357 14 monomial monomial ADJ fuelectenerg-3306 357 15 bent bent ADJ fuelectenerg-3306 357 16 functions function NOUN fuelectenerg-3306 357 17 in in ADP fuelectenerg-3306 357 18 the the DET fuelectenerg-3306 357 19 kasami kasami NOUN fuelectenerg-3306 357 20 , , PUNCT fuelectenerg-3306 357 21 gold gold NOUN fuelectenerg-3306 357 22 , , PUNCT fuelectenerg-3306 357 23 dillon dillon PROPN fuelectenerg-3306 357 24 and and CCONJ fuelectenerg-3306 357 25 canteaut canteaut NOUN fuelectenerg-3306 357 26 - - PUNCT fuelectenerg-3306 357 27 leander leander NOUN fuelectenerg-3306 357 28 case case NOUN fuelectenerg-3306 357 29 [ [ X fuelectenerg-3306 357 30 14 14 NUM fuelectenerg-3306 357 31 ] ] PUNCT fuelectenerg-3306 357 32 , , PUNCT fuelectenerg-3306 357 33 hyper hyper ADJ fuelectenerg-3306 357 34 bent bent ADJ fuelectenerg-3306 357 35 functions function NOUN fuelectenerg-3306 357 36 [ [ X fuelectenerg-3306 357 37 15 15 NUM fuelectenerg-3306 357 38 ] ] PUNCT fuelectenerg-3306 357 39 , , PUNCT fuelectenerg-3306 357 40 niho niho ADJ fuelectenerg-3306 357 41 bent bent ADJ fuelectenerg-3306 357 42 functions function NOUN fuelectenerg-3306 357 43 [ [ X fuelectenerg-3306 357 44 16 16 NUM fuelectenerg-3306 357 45 ] ] PUNCT fuelectenerg-3306 357 46 , , PUNCT fuelectenerg-3306 357 47 etc etc X fuelectenerg-3306 357 48 . . X fuelectenerg-3306 357 49 3 3 NUM fuelectenerg-3306 357 50 subsets subset NOUN fuelectenerg-3306 357 51 of of ADP fuelectenerg-3306 357 52 bent bent ADJ fuelectenerg-3306 357 53 functions function NOUN fuelectenerg-3306 357 54 in in ADP fuelectenerg-3306 357 55 the the DET fuelectenerg-3306 357 56 rm rm NOUN fuelectenerg-3306 357 57 domain domain NOUN fuelectenerg-3306 357 58 in in ADP fuelectenerg-3306 357 59 this this DET fuelectenerg-3306 357 60 paper paper NOUN fuelectenerg-3306 357 61 , , PUNCT fuelectenerg-3306 357 62 we we PRON fuelectenerg-3306 357 63 propose propose VERB fuelectenerg-3306 357 64 to to PART fuelectenerg-3306 357 65 split split VERB fuelectenerg-3306 357 66 the the DET fuelectenerg-3306 357 67 set set NOUN fuelectenerg-3306 357 68 of of ADP fuelectenerg-3306 357 69 all all DET fuelectenerg-3306 357 70 boolean boolean ADJ fuelectenerg-3306 357 71 functions function NOUN fuelectenerg-3306 357 72 with with ADP fuelectenerg-3306 357 73 respect respect NOUN fuelectenerg-3306 357 74 to to ADP fuelectenerg-3306 357 75 three three NUM fuelectenerg-3306 357 76 different different ADJ fuelectenerg-3306 357 77 criteria criterion NOUN fuelectenerg-3306 357 78 related relate VERB fuelectenerg-3306 357 79 to to ADP fuelectenerg-3306 357 80 the the DET fuelectenerg-3306 357 81 properties property NOUN fuelectenerg-3306 357 82 of of ADP fuelectenerg-3306 357 83 rm rm PROPN fuelectenerg-3306 357 84 - - PUNCT fuelectenerg-3306 357 85 spectra spectra PROPN fuelectenerg-3306 357 86 of of ADP fuelectenerg-3306 357 87 bent bent ADJ fuelectenerg-3306 357 88 functions function NOUN fuelectenerg-3306 357 89 : : PUNCT fuelectenerg-3306 358 1 1 1 X fuelectenerg-3306 358 2 . . PUNCT fuelectenerg-3306 358 3 the the DET fuelectenerg-3306 358 4 number number NOUN fuelectenerg-3306 358 5 of of ADP fuelectenerg-3306 358 6 non non ADJ fuelectenerg-3306 358 7 - - ADJ fuelectenerg-3306 358 8 zero zero NUM fuelectenerg-3306 358 9 rm rm NOUN fuelectenerg-3306 358 10 - - PUNCT fuelectenerg-3306 358 11 coefficients coefficient NOUN fuelectenerg-3306 358 12 . . PUNCT fuelectenerg-3306 359 1 we we PRON fuelectenerg-3306 359 2 call call VERB fuelectenerg-3306 359 3 it it PRON fuelectenerg-3306 359 4 the the DET fuelectenerg-3306 359 5 vertical vertical ADJ fuelectenerg-3306 359 6 subset subset NOUN fuelectenerg-3306 359 7 . . PUNCT fuelectenerg-3306 360 1 2 2 X fuelectenerg-3306 360 2 . . X fuelectenerg-3306 360 3 the the DET fuelectenerg-3306 360 4 orders order NOUN fuelectenerg-3306 360 5 of of ADP fuelectenerg-3306 360 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 360 7 defined define VERB fuelectenerg-3306 360 8 as as ADP fuelectenerg-3306 360 9 the the DET fuelectenerg-3306 360 10 maximum maximum ADJ fuelectenerg-3306 360 11 number number NOUN fuelectenerg-3306 360 12 of of ADP fuelectenerg-3306 360 13 variables variable NOUN fuelectenerg-3306 360 14 6 6 NUM fuelectenerg-3306 360 15 m. m. NOUN fuelectenerg-3306 360 16 radmanović radmanović PROPN fuelectenerg-3306 360 17 and and CCONJ fuelectenerg-3306 360 18 r. r. PROPN fuelectenerg-3306 360 19 stanković stanković PROPN fuelectenerg-3306 360 20 example example NOUN fuelectenerg-3306 360 21 1 1 NUM fuelectenerg-3306 360 22 consider consider VERB fuelectenerg-3306 360 23 for for ADP fuelectenerg-3306 360 24 a a DET fuelectenerg-3306 360 25 bent bent ADJ fuelectenerg-3306 360 26 function function NOUN fuelectenerg-3306 360 27 of of ADP fuelectenerg-3306 360 28 four four NUM fuelectenerg-3306 360 29 variables variable NOUN fuelectenerg-3306 360 30 f(x1 f(x1 ADJ fuelectenerg-3306 360 31 , , PUNCT fuelectenerg-3306 360 32 x2 x2 PROPN fuelectenerg-3306 360 33 , , PUNCT fuelectenerg-3306 360 34 x3 x3 ADJ fuelectenerg-3306 360 35 , , PUNCT fuelectenerg-3306 360 36 x4 x4 PROPN fuelectenerg-3306 360 37 ) ) PUNCT fuelectenerg-3306 360 38 = = SYM fuelectenerg-3306 361 1 x1x2 x1x2 PROPN fuelectenerg-3306 361 2 ⊕ ⊕ PROPN fuelectenerg-3306 361 3 x3x4 x3x4 ADP fuelectenerg-3306 361 4 , , PUNCT fuelectenerg-3306 361 5 given give VERB fuelectenerg-3306 361 6 by by ADP fuelectenerg-3306 361 7 f f PROPN fuelectenerg-3306 361 8 = = PUNCT fuelectenerg-3306 362 1 [ [ X fuelectenerg-3306 362 2 0 0 NUM fuelectenerg-3306 362 3 , , PUNCT fuelectenerg-3306 362 4 0 0 NUM fuelectenerg-3306 362 5 , , PUNCT fuelectenerg-3306 362 6 0 0 NUM fuelectenerg-3306 362 7 , , PUNCT fuelectenerg-3306 362 8 1 1 NUM fuelectenerg-3306 362 9 , , PUNCT fuelectenerg-3306 362 10 0 0 NUM fuelectenerg-3306 362 11 , , PUNCT fuelectenerg-3306 362 12 0 0 NUM fuelectenerg-3306 362 13 , , PUNCT fuelectenerg-3306 362 14 0 0 NUM fuelectenerg-3306 362 15 , , PUNCT fuelectenerg-3306 362 16 1 1 NUM fuelectenerg-3306 362 17 , , PUNCT fuelectenerg-3306 362 18 0 0 NUM fuelectenerg-3306 362 19 , , PUNCT fuelectenerg-3306 362 20 0 0 NUM fuelectenerg-3306 362 21 , , PUNCT fuelectenerg-3306 362 22 0 0 NUM fuelectenerg-3306 362 23 , , PUNCT fuelectenerg-3306 362 24 1 1 NUM fuelectenerg-3306 362 25 , , PUNCT fuelectenerg-3306 362 26 1 1 NUM fuelectenerg-3306 362 27 , , PUNCT fuelectenerg-3306 362 28 1 1 NUM fuelectenerg-3306 362 29 , , PUNCT fuelectenerg-3306 362 30 1 1 NUM fuelectenerg-3306 362 31 , , PUNCT fuelectenerg-3306 362 32 0]t 0]t NUM fuelectenerg-3306 362 33 . . PUNCT fuelectenerg-3306 363 1 the the DET fuelectenerg-3306 363 2 rm rm PROPN fuelectenerg-3306 363 3 spectrum spectrum NOUN fuelectenerg-3306 363 4 is be AUX fuelectenerg-3306 363 5 sf sf INTJ fuelectenerg-3306 363 6 = = PUNCT fuelectenerg-3306 364 1 [ [ X fuelectenerg-3306 364 2 0 0 NUM fuelectenerg-3306 364 3 , , PUNCT fuelectenerg-3306 364 4 0 0 NUM fuelectenerg-3306 364 5 , , PUNCT fuelectenerg-3306 364 6 0 0 NUM fuelectenerg-3306 364 7 , , PUNCT fuelectenerg-3306 364 8 1 1 NUM fuelectenerg-3306 364 9 , , PUNCT fuelectenerg-3306 364 10 0 0 NUM fuelectenerg-3306 364 11 , , PUNCT fuelectenerg-3306 364 12 0 0 NUM fuelectenerg-3306 364 13 , , PUNCT fuelectenerg-3306 364 14 0 0 NUM fuelectenerg-3306 364 15 , , PUNCT fuelectenerg-3306 364 16 0 0 NUM fuelectenerg-3306 364 17 , , PUNCT fuelectenerg-3306 364 18 0 0 NUM fuelectenerg-3306 364 19 , , PUNCT fuelectenerg-3306 364 20 0 0 NUM fuelectenerg-3306 364 21 , , PUNCT fuelectenerg-3306 364 22 0 0 NUM fuelectenerg-3306 364 23 , , PUNCT fuelectenerg-3306 364 24 0 0 NUM fuelectenerg-3306 364 25 , , PUNCT fuelectenerg-3306 364 26 1 1 NUM fuelectenerg-3306 364 27 , , PUNCT fuelectenerg-3306 364 28 0 0 NUM fuelectenerg-3306 364 29 , , PUNCT fuelectenerg-3306 364 30 0 0 NUM fuelectenerg-3306 364 31 , , PUNCT fuelectenerg-3306 364 32 0]t 0]t NUM fuelectenerg-3306 364 33 , , PUNCT fuelectenerg-3306 364 34 from from ADP fuelectenerg-3306 364 35 where where SCONJ fuelectenerg-3306 364 36 the the DET fuelectenerg-3306 364 37 number number NOUN fuelectenerg-3306 364 38 of of ADP fuelectenerg-3306 364 39 non non ADJ fuelectenerg-3306 364 40 - - ADJ fuelectenerg-3306 364 41 zero zero NUM fuelectenerg-3306 364 42 rm rm NOUN fuelectenerg-3306 364 43 coefficients coefficient NOUN fuelectenerg-3306 364 44 is be AUX fuelectenerg-3306 364 45 2 2 NUM fuelectenerg-3306 364 46 and and CCONJ fuelectenerg-3306 364 47 algebraic algebraic ADJ fuelectenerg-3306 364 48 degree degree NOUN fuelectenerg-3306 364 49 is be AUX fuelectenerg-3306 364 50 2 2 NUM fuelectenerg-3306 364 51 ≤ ≤ NUM fuelectenerg-3306 364 52 4/2 4/2 NUM fuelectenerg-3306 364 53 . . PUNCT fuelectenerg-3306 365 1 the the DET fuelectenerg-3306 365 2 walsh walsh PROPN fuelectenerg-3306 365 3 spectrum spectrum VERB fuelectenerg-3306 365 4 with with ADP fuelectenerg-3306 365 5 ( ( PUNCT fuelectenerg-3306 365 6 1,−1 1,−1 X fuelectenerg-3306 365 7 ) ) PUNCT fuelectenerg-3306 365 8 encoding encoding NOUN fuelectenerg-3306 365 9 is be AUX fuelectenerg-3306 365 10 sf sf NOUN fuelectenerg-3306 365 11 , , PUNCT fuelectenerg-3306 365 12 w w NOUN fuelectenerg-3306 366 1 = = PUNCT fuelectenerg-3306 367 1 [ [ X fuelectenerg-3306 367 2 4 4 NUM fuelectenerg-3306 367 3 , , PUNCT fuelectenerg-3306 367 4 4 4 NUM fuelectenerg-3306 367 5 , , PUNCT fuelectenerg-3306 367 6 4,−4 4,−4 PROPN fuelectenerg-3306 367 7 , , PUNCT fuelectenerg-3306 367 8 4 4 NUM fuelectenerg-3306 367 9 , , PUNCT fuelectenerg-3306 367 10 4 4 NUM fuelectenerg-3306 367 11 , , PUNCT fuelectenerg-3306 367 12 4,−4 4,−4 PROPN fuelectenerg-3306 367 13 , , PUNCT fuelectenerg-3306 367 14 4 4 NUM fuelectenerg-3306 367 15 , , PUNCT fuelectenerg-3306 367 16 4 4 NUM fuelectenerg-3306 367 17 , , PUNCT fuelectenerg-3306 367 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 367 19 , , PUNCT fuelectenerg-3306 367 20 4]t 4]t NOUN fuelectenerg-3306 367 21 , , PUNCT fuelectenerg-3306 367 22 where where SCONJ fuelectenerg-3306 367 23 all all DET fuelectenerg-3306 367 24 coefficients coefficient NOUN fuelectenerg-3306 367 25 have have VERB fuelectenerg-3306 367 26 the the DET fuelectenerg-3306 367 27 same same ADJ fuelectenerg-3306 367 28 absolute absolute ADJ fuelectenerg-3306 367 29 value value NOUN fuelectenerg-3306 367 30 22 22 NUM fuelectenerg-3306 367 31 = = SYM fuelectenerg-3306 367 32 4 4 NUM fuelectenerg-3306 367 33 . . NOUN fuelectenerg-3306 367 34 2.4 2.4 NUM fuelectenerg-3306 367 35 construction construction NOUN fuelectenerg-3306 367 36 of of ADP fuelectenerg-3306 367 37 bent bent ADJ fuelectenerg-3306 367 38 functions function NOUN fuelectenerg-3306 367 39 finding find VERB fuelectenerg-3306 367 40 the the DET fuelectenerg-3306 367 41 complete complete ADJ fuelectenerg-3306 367 42 set set NOUN fuelectenerg-3306 367 43 of of ADP fuelectenerg-3306 367 44 bent bent ADJ fuelectenerg-3306 367 45 functions function NOUN fuelectenerg-3306 367 46 for for ADP fuelectenerg-3306 367 47 a a DET fuelectenerg-3306 367 48 given give VERB fuelectenerg-3306 367 49 number number NOUN fuelectenerg-3306 367 50 of of ADP fuelectenerg-3306 367 51 inputs input NOUN fuelectenerg-3306 367 52 is be AUX fuelectenerg-3306 367 53 an an DET fuelectenerg-3306 367 54 open open ADJ fuelectenerg-3306 367 55 problem problem NOUN fuelectenerg-3306 367 56 . . PUNCT fuelectenerg-3306 368 1 there there PRON fuelectenerg-3306 368 2 are be VERB fuelectenerg-3306 368 3 no no DET fuelectenerg-3306 368 4 formal formal ADJ fuelectenerg-3306 368 5 methods method NOUN fuelectenerg-3306 368 6 for for ADP fuelectenerg-3306 368 7 generalization generalization NOUN fuelectenerg-3306 368 8 , , PUNCT fuelectenerg-3306 368 9 construction construction NOUN fuelectenerg-3306 368 10 , , PUNCT fuelectenerg-3306 368 11 or or CCONJ fuelectenerg-3306 368 12 classification classification NOUN fuelectenerg-3306 368 13 of of ADP fuelectenerg-3306 368 14 all all DET fuelectenerg-3306 368 15 bent bent ADJ fuelectenerg-3306 368 16 functions function NOUN fuelectenerg-3306 368 17 for for ADP fuelectenerg-3306 368 18 a a DET fuelectenerg-3306 368 19 given give VERB fuelectenerg-3306 368 20 number number NOUN fuelectenerg-3306 368 21 of of ADP fuelectenerg-3306 368 22 inputs input NOUN fuelectenerg-3306 368 23 . . PUNCT fuelectenerg-3306 369 1 thus thus ADV fuelectenerg-3306 369 2 , , PUNCT fuelectenerg-3306 369 3 it it PRON fuelectenerg-3306 369 4 has have AUX fuelectenerg-3306 369 5 been be AUX fuelectenerg-3306 369 6 developed develop VERB fuelectenerg-3306 369 7 a a DET fuelectenerg-3306 369 8 variety variety NOUN fuelectenerg-3306 369 9 of of ADP fuelectenerg-3306 369 10 approaches approach NOUN fuelectenerg-3306 369 11 for for ADP fuelectenerg-3306 369 12 construction construction NOUN fuelectenerg-3306 369 13 and and CCONJ fuelectenerg-3306 369 14 classification classification NOUN fuelectenerg-3306 369 15 of of ADP fuelectenerg-3306 369 16 bent bent ADJ fuelectenerg-3306 369 17 functions function NOUN fuelectenerg-3306 369 18 with with ADP fuelectenerg-3306 369 19 particular particular ADJ fuelectenerg-3306 369 20 properties property NOUN fuelectenerg-3306 369 21 [ [ X fuelectenerg-3306 369 22 2 2 NUM fuelectenerg-3306 369 23 ] ] PUNCT fuelectenerg-3306 369 24 . . PUNCT fuelectenerg-3306 370 1 however however ADV fuelectenerg-3306 370 2 , , PUNCT fuelectenerg-3306 370 3 bent bent ADJ fuelectenerg-3306 370 4 functions function NOUN fuelectenerg-3306 370 5 that that PRON fuelectenerg-3306 370 6 have have VERB fuelectenerg-3306 370 7 some some DET fuelectenerg-3306 370 8 predefined predefine VERB fuelectenerg-3306 370 9 specific specific ADJ fuelectenerg-3306 370 10 properties property NOUN fuelectenerg-3306 370 11 are be AUX fuelectenerg-3306 370 12 very very ADV fuelectenerg-3306 370 13 rare rare ADJ fuelectenerg-3306 370 14 and and CCONJ fuelectenerg-3306 370 15 they they PRON fuelectenerg-3306 370 16 constitute constitute VERB fuelectenerg-3306 370 17 a a DET fuelectenerg-3306 370 18 rather rather ADV fuelectenerg-3306 370 19 small small ADJ fuelectenerg-3306 370 20 subset subset NOUN fuelectenerg-3306 370 21 of of ADP fuelectenerg-3306 370 22 the the DET fuelectenerg-3306 370 23 total total NOUN fuelectenerg-3306 370 24 of of ADP fuelectenerg-3306 370 25 all all DET fuelectenerg-3306 370 26 bent bent ADJ fuelectenerg-3306 370 27 functions function NOUN fuelectenerg-3306 370 28 . . PUNCT fuelectenerg-3306 371 1 therefore therefore ADV fuelectenerg-3306 371 2 , , PUNCT fuelectenerg-3306 371 3 it it PRON fuelectenerg-3306 371 4 is be AUX fuelectenerg-3306 371 5 important important ADJ fuelectenerg-3306 371 6 to to PART fuelectenerg-3306 371 7 define define VERB fuelectenerg-3306 371 8 different different ADJ fuelectenerg-3306 371 9 approaches approach NOUN fuelectenerg-3306 371 10 for for ADP fuelectenerg-3306 371 11 determination determination NOUN fuelectenerg-3306 371 12 of of ADP fuelectenerg-3306 371 13 bent bent ADJ fuelectenerg-3306 371 14 functions function NOUN fuelectenerg-3306 371 15 . . PUNCT fuelectenerg-3306 372 1 different different ADJ fuelectenerg-3306 372 2 classes class NOUN fuelectenerg-3306 372 3 of of ADP fuelectenerg-3306 372 4 bent bent ADJ fuelectenerg-3306 372 5 functions function NOUN fuelectenerg-3306 372 6 are be AUX fuelectenerg-3306 372 7 focused focus VERB fuelectenerg-3306 372 8 on on ADP fuelectenerg-3306 372 9 bent bent ADJ fuelectenerg-3306 372 10 functions function NOUN fuelectenerg-3306 372 11 satisfying satisfy VERB fuelectenerg-3306 372 12 certain certain ADJ fuelectenerg-3306 372 13 additional additional ADJ fuelectenerg-3306 372 14 conditions condition NOUN fuelectenerg-3306 372 15 . . PUNCT fuelectenerg-3306 373 1 for for ADP fuelectenerg-3306 373 2 example example NOUN fuelectenerg-3306 373 3 , , PUNCT fuelectenerg-3306 373 4 quadratic quadratic ADJ fuelectenerg-3306 373 5 bent bent ADJ fuelectenerg-3306 373 6 functions function NOUN fuelectenerg-3306 373 7 have have VERB fuelectenerg-3306 373 8 an an DET fuelectenerg-3306 373 9 important important ADJ fuelectenerg-3306 373 10 place place NOUN fuelectenerg-3306 373 11 in in ADP fuelectenerg-3306 373 12 bent bent ADJ fuelectenerg-3306 373 13 function function NOUN fuelectenerg-3306 373 14 construction construction NOUN fuelectenerg-3306 373 15 . . PUNCT fuelectenerg-3306 374 1 all all DET fuelectenerg-3306 374 2 bent bent ADJ fuelectenerg-3306 374 3 functions function NOUN fuelectenerg-3306 374 4 from from ADP fuelectenerg-3306 374 5 this this DET fuelectenerg-3306 374 6 class class NOUN fuelectenerg-3306 374 7 are be AUX fuelectenerg-3306 374 8 known know VERB fuelectenerg-3306 374 9 and and CCONJ fuelectenerg-3306 374 10 they they PRON fuelectenerg-3306 374 11 can can AUX fuelectenerg-3306 374 12 be be AUX fuelectenerg-3306 374 13 obtained obtain VERB fuelectenerg-3306 374 14 by by ADP fuelectenerg-3306 374 15 applying apply VERB fuelectenerg-3306 374 16 the the DET fuelectenerg-3306 374 17 affine affine NOUN fuelectenerg-3306 374 18 transformations transformation NOUN fuelectenerg-3306 374 19 to to ADP fuelectenerg-3306 374 20 the the DET fuelectenerg-3306 374 21 variables variable NOUN fuelectenerg-3306 374 22 of of ADP fuelectenerg-3306 374 23 the the DET fuelectenerg-3306 374 24 function function NOUN fuelectenerg-3306 374 25 [ [ X fuelectenerg-3306 374 26 7 7 NUM fuelectenerg-3306 374 27 ] ] PUNCT fuelectenerg-3306 374 28 . . PUNCT fuelectenerg-3306 375 1 two two NUM fuelectenerg-3306 375 2 most most ADV fuelectenerg-3306 375 3 known know VERB fuelectenerg-3306 375 4 approaches approach NOUN fuelectenerg-3306 375 5 for for ADP fuelectenerg-3306 375 6 construction construction NOUN fuelectenerg-3306 375 7 classification classification NOUN fuelectenerg-3306 375 8 of of ADP fuelectenerg-3306 375 9 bent bent ADJ fuelectenerg-3306 375 10 functions function NOUN fuelectenerg-3306 375 11 are be AUX fuelectenerg-3306 375 12 based base VERB fuelectenerg-3306 375 13 on on ADP fuelectenerg-3306 375 14 a a DET fuelectenerg-3306 375 15 combinatorial combinatorial ADJ fuelectenerg-3306 375 16 construction construction NOUN fuelectenerg-3306 375 17 and and CCONJ fuelectenerg-3306 375 18 an an DET fuelectenerg-3306 375 19 algebraic algebraic ADJ fuelectenerg-3306 375 20 construction construction NOUN fuelectenerg-3306 375 21 of of ADP fuelectenerg-3306 375 22 functions function NOUN fuelectenerg-3306 375 23 [ [ X fuelectenerg-3306 375 24 2 2 NUM fuelectenerg-3306 375 25 ] ] PUNCT fuelectenerg-3306 375 26 . . PUNCT fuelectenerg-3306 376 1 the the DET fuelectenerg-3306 376 2 well well ADV fuelectenerg-3306 376 3 - - PUNCT fuelectenerg-3306 376 4 known know VERB fuelectenerg-3306 376 5 combinatorial combinatorial ADJ fuelectenerg-3306 376 6 constructions construction NOUN fuelectenerg-3306 376 7 are be AUX fuelectenerg-3306 376 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 376 9 [ [ X fuelectenerg-3306 376 10 8 8 NUM fuelectenerg-3306 376 11 ] ] PUNCT fuelectenerg-3306 376 12 , , PUNCT fuelectenerg-3306 376 13 partial partial ADJ fuelectenerg-3306 376 14 spreads spread VERB fuelectenerg-3306 376 15 [ [ PUNCT fuelectenerg-3306 376 16 9 9 NUM fuelectenerg-3306 376 17 ] ] PUNCT fuelectenerg-3306 376 18 , , PUNCT fuelectenerg-3306 376 19 dobbertin dobbertin ADJ fuelectenerg-3306 377 1 [ [ X fuelectenerg-3306 377 2 10 10 NUM fuelectenerg-3306 377 3 ] ] PUNCT fuelectenerg-3306 377 4 , , PUNCT fuelectenerg-3306 377 5 iterative iterative ADJ fuelectenerg-3306 377 6 constructions construction NOUN fuelectenerg-3306 378 1 [ [ X fuelectenerg-3306 378 2 11 11 NUM fuelectenerg-3306 378 3 ] ] PUNCT fuelectenerg-3306 378 4 , , PUNCT fuelectenerg-3306 378 5 minterm minterm NOUN fuelectenerg-3306 378 6 constructions construction NOUN fuelectenerg-3306 378 7 [ [ X fuelectenerg-3306 378 8 12 12 NUM fuelectenerg-3306 378 9 ] ] PUNCT fuelectenerg-3306 378 10 , , PUNCT fuelectenerg-3306 378 11 maiorana maiorana PROPN fuelectenerg-3306 378 12 - - PUNCT fuelectenerg-3306 378 13 mcfarland mcfarland PROPN fuelectenerg-3306 378 14 super super ADJ fuelectenerg-3306 378 15 class class NOUN fuelectenerg-3306 379 1 [ [ X fuelectenerg-3306 379 2 13 13 NUM fuelectenerg-3306 379 3 ] ] PUNCT fuelectenerg-3306 379 4 , , PUNCT fuelectenerg-3306 379 5 etc etc X fuelectenerg-3306 379 6 . . X fuelectenerg-3306 379 7 the the DET fuelectenerg-3306 379 8 most most ADV fuelectenerg-3306 379 9 widely widely ADV fuelectenerg-3306 379 10 known know VERB fuelectenerg-3306 379 11 algebraic algebraic ADJ fuelectenerg-3306 379 12 constructions construction NOUN fuelectenerg-3306 379 13 are be AUX fuelectenerg-3306 379 14 monomial monomial ADJ fuelectenerg-3306 379 15 bent bent ADJ fuelectenerg-3306 379 16 functions function NOUN fuelectenerg-3306 379 17 in in ADP fuelectenerg-3306 379 18 the the DET fuelectenerg-3306 379 19 kasami kasami NOUN fuelectenerg-3306 379 20 , , PUNCT fuelectenerg-3306 379 21 gold gold NOUN fuelectenerg-3306 379 22 , , PUNCT fuelectenerg-3306 379 23 dillon dillon PROPN fuelectenerg-3306 379 24 and and CCONJ fuelectenerg-3306 379 25 canteaut canteaut NOUN fuelectenerg-3306 379 26 - - PUNCT fuelectenerg-3306 379 27 leander leander NOUN fuelectenerg-3306 379 28 case case NOUN fuelectenerg-3306 379 29 [ [ X fuelectenerg-3306 379 30 14 14 NUM fuelectenerg-3306 379 31 ] ] PUNCT fuelectenerg-3306 379 32 , , PUNCT fuelectenerg-3306 379 33 hyper hyper ADJ fuelectenerg-3306 379 34 bent bent ADJ fuelectenerg-3306 379 35 functions function NOUN fuelectenerg-3306 379 36 [ [ X fuelectenerg-3306 379 37 15 15 NUM fuelectenerg-3306 379 38 ] ] PUNCT fuelectenerg-3306 379 39 , , PUNCT fuelectenerg-3306 379 40 niho niho ADJ fuelectenerg-3306 379 41 bent bent ADJ fuelectenerg-3306 379 42 functions function NOUN fuelectenerg-3306 379 43 [ [ X fuelectenerg-3306 379 44 16 16 NUM fuelectenerg-3306 379 45 ] ] PUNCT fuelectenerg-3306 379 46 , , PUNCT fuelectenerg-3306 379 47 etc etc X fuelectenerg-3306 379 48 . . X fuelectenerg-3306 379 49 3 3 NUM fuelectenerg-3306 379 50 subsets subset NOUN fuelectenerg-3306 379 51 of of ADP fuelectenerg-3306 379 52 bent bent ADJ fuelectenerg-3306 379 53 functions function NOUN fuelectenerg-3306 379 54 in in ADP fuelectenerg-3306 379 55 the the DET fuelectenerg-3306 379 56 rm rm NOUN fuelectenerg-3306 379 57 domain domain NOUN fuelectenerg-3306 379 58 in in ADP fuelectenerg-3306 379 59 this this DET fuelectenerg-3306 379 60 paper paper NOUN fuelectenerg-3306 379 61 , , PUNCT fuelectenerg-3306 379 62 we we PRON fuelectenerg-3306 379 63 propose propose VERB fuelectenerg-3306 379 64 to to PART fuelectenerg-3306 379 65 split split VERB fuelectenerg-3306 379 66 the the DET fuelectenerg-3306 379 67 set set NOUN fuelectenerg-3306 379 68 of of ADP fuelectenerg-3306 379 69 all all DET fuelectenerg-3306 379 70 boolean boolean ADJ fuelectenerg-3306 379 71 functions function NOUN fuelectenerg-3306 379 72 with with ADP fuelectenerg-3306 379 73 respect respect NOUN fuelectenerg-3306 379 74 to to ADP fuelectenerg-3306 379 75 three three NUM fuelectenerg-3306 379 76 different different ADJ fuelectenerg-3306 379 77 criteria criterion NOUN fuelectenerg-3306 379 78 related relate VERB fuelectenerg-3306 379 79 to to ADP fuelectenerg-3306 379 80 the the DET fuelectenerg-3306 379 81 properties property NOUN fuelectenerg-3306 379 82 of of ADP fuelectenerg-3306 379 83 rm rm PROPN fuelectenerg-3306 379 84 - - PUNCT fuelectenerg-3306 379 85 spectra spectra PROPN fuelectenerg-3306 379 86 of of ADP fuelectenerg-3306 379 87 bent bent ADJ fuelectenerg-3306 379 88 functions function NOUN fuelectenerg-3306 379 89 : : PUNCT fuelectenerg-3306 380 1 1 1 X fuelectenerg-3306 380 2 . . PUNCT fuelectenerg-3306 380 3 the the DET fuelectenerg-3306 380 4 number number NOUN fuelectenerg-3306 380 5 of of ADP fuelectenerg-3306 380 6 non non ADJ fuelectenerg-3306 380 7 - - ADJ fuelectenerg-3306 380 8 zero zero NUM fuelectenerg-3306 380 9 rm rm NOUN fuelectenerg-3306 380 10 - - PUNCT fuelectenerg-3306 380 11 coefficients coefficient NOUN fuelectenerg-3306 380 12 . . PUNCT fuelectenerg-3306 381 1 we we PRON fuelectenerg-3306 381 2 call call VERB fuelectenerg-3306 381 3 it it PRON fuelectenerg-3306 381 4 the the DET fuelectenerg-3306 381 5 vertical vertical ADJ fuelectenerg-3306 381 6 subset subset NOUN fuelectenerg-3306 381 7 . . PUNCT fuelectenerg-3306 382 1 2 2 X fuelectenerg-3306 382 2 . . X fuelectenerg-3306 382 3 the the DET fuelectenerg-3306 382 4 orders order NOUN fuelectenerg-3306 382 5 of of ADP fuelectenerg-3306 382 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 382 7 defined define VERB fuelectenerg-3306 382 8 as as ADP fuelectenerg-3306 382 9 the the DET fuelectenerg-3306 382 10 maximum maximum ADJ fuelectenerg-3306 382 11 number number NOUN fuelectenerg-3306 382 12 of of ADP fuelectenerg-3306 382 13 variables variable NOUN fuelectenerg-3306 382 14 6 6 NUM fuelectenerg-3306 382 15 m. m. NOUN fuelectenerg-3306 382 16 radmanović radmanović PROPN fuelectenerg-3306 382 17 and and CCONJ fuelectenerg-3306 382 18 r. r. PROPN fuelectenerg-3306 382 19 stanković stanković PROPN fuelectenerg-3306 382 20 example example NOUN fuelectenerg-3306 382 21 1 1 NUM fuelectenerg-3306 382 22 consider consider VERB fuelectenerg-3306 382 23 for for ADP fuelectenerg-3306 382 24 a a DET fuelectenerg-3306 382 25 bent bent ADJ fuelectenerg-3306 382 26 function function NOUN fuelectenerg-3306 382 27 of of ADP fuelectenerg-3306 382 28 four four NUM fuelectenerg-3306 382 29 variables variable NOUN fuelectenerg-3306 382 30 f(x1 f(x1 ADJ fuelectenerg-3306 382 31 , , PUNCT fuelectenerg-3306 382 32 x2 x2 PROPN fuelectenerg-3306 382 33 , , PUNCT fuelectenerg-3306 382 34 x3 x3 ADJ fuelectenerg-3306 382 35 , , PUNCT fuelectenerg-3306 382 36 x4 x4 PROPN fuelectenerg-3306 382 37 ) ) PUNCT fuelectenerg-3306 382 38 = = SYM fuelectenerg-3306 383 1 x1x2 x1x2 PROPN fuelectenerg-3306 383 2 ⊕ ⊕ PROPN fuelectenerg-3306 383 3 x3x4 x3x4 ADP fuelectenerg-3306 383 4 , , PUNCT fuelectenerg-3306 383 5 given give VERB fuelectenerg-3306 383 6 by by ADP fuelectenerg-3306 383 7 f f PROPN fuelectenerg-3306 383 8 = = PUNCT fuelectenerg-3306 384 1 [ [ X fuelectenerg-3306 384 2 0 0 NUM fuelectenerg-3306 384 3 , , PUNCT fuelectenerg-3306 384 4 0 0 NUM fuelectenerg-3306 384 5 , , PUNCT fuelectenerg-3306 384 6 0 0 NUM fuelectenerg-3306 384 7 , , PUNCT fuelectenerg-3306 384 8 1 1 NUM fuelectenerg-3306 384 9 , , PUNCT fuelectenerg-3306 384 10 0 0 NUM fuelectenerg-3306 384 11 , , PUNCT fuelectenerg-3306 384 12 0 0 NUM fuelectenerg-3306 384 13 , , PUNCT fuelectenerg-3306 384 14 0 0 NUM fuelectenerg-3306 384 15 , , PUNCT fuelectenerg-3306 384 16 1 1 NUM fuelectenerg-3306 384 17 , , PUNCT fuelectenerg-3306 384 18 0 0 NUM fuelectenerg-3306 384 19 , , PUNCT fuelectenerg-3306 384 20 0 0 NUM fuelectenerg-3306 384 21 , , PUNCT fuelectenerg-3306 384 22 0 0 NUM fuelectenerg-3306 384 23 , , PUNCT fuelectenerg-3306 384 24 1 1 NUM fuelectenerg-3306 384 25 , , PUNCT fuelectenerg-3306 384 26 1 1 NUM fuelectenerg-3306 384 27 , , PUNCT fuelectenerg-3306 384 28 1 1 NUM fuelectenerg-3306 384 29 , , PUNCT fuelectenerg-3306 384 30 1 1 NUM fuelectenerg-3306 384 31 , , PUNCT fuelectenerg-3306 384 32 0]t 0]t NUM fuelectenerg-3306 384 33 . . PUNCT fuelectenerg-3306 385 1 the the DET fuelectenerg-3306 385 2 rm rm PROPN fuelectenerg-3306 385 3 spectrum spectrum NOUN fuelectenerg-3306 385 4 is be AUX fuelectenerg-3306 385 5 sf sf INTJ fuelectenerg-3306 385 6 = = PUNCT fuelectenerg-3306 386 1 [ [ X fuelectenerg-3306 386 2 0 0 NUM fuelectenerg-3306 386 3 , , PUNCT fuelectenerg-3306 386 4 0 0 NUM fuelectenerg-3306 386 5 , , PUNCT fuelectenerg-3306 386 6 0 0 NUM fuelectenerg-3306 386 7 , , PUNCT fuelectenerg-3306 386 8 1 1 NUM fuelectenerg-3306 386 9 , , PUNCT fuelectenerg-3306 386 10 0 0 NUM fuelectenerg-3306 386 11 , , PUNCT fuelectenerg-3306 386 12 0 0 NUM fuelectenerg-3306 386 13 , , PUNCT fuelectenerg-3306 386 14 0 0 NUM fuelectenerg-3306 386 15 , , PUNCT fuelectenerg-3306 386 16 0 0 NUM fuelectenerg-3306 386 17 , , PUNCT fuelectenerg-3306 386 18 0 0 NUM fuelectenerg-3306 386 19 , , PUNCT fuelectenerg-3306 386 20 0 0 NUM fuelectenerg-3306 386 21 , , PUNCT fuelectenerg-3306 386 22 0 0 NUM fuelectenerg-3306 386 23 , , PUNCT fuelectenerg-3306 386 24 0 0 NUM fuelectenerg-3306 386 25 , , PUNCT fuelectenerg-3306 386 26 1 1 NUM fuelectenerg-3306 386 27 , , PUNCT fuelectenerg-3306 386 28 0 0 NUM fuelectenerg-3306 386 29 , , PUNCT fuelectenerg-3306 386 30 0 0 NUM fuelectenerg-3306 386 31 , , PUNCT fuelectenerg-3306 386 32 0]t 0]t NUM fuelectenerg-3306 386 33 , , PUNCT fuelectenerg-3306 386 34 from from ADP fuelectenerg-3306 386 35 where where SCONJ fuelectenerg-3306 386 36 the the DET fuelectenerg-3306 386 37 number number NOUN fuelectenerg-3306 386 38 of of ADP fuelectenerg-3306 386 39 non non ADJ fuelectenerg-3306 386 40 - - ADJ fuelectenerg-3306 386 41 zero zero NUM fuelectenerg-3306 386 42 rm rm NOUN fuelectenerg-3306 386 43 coefficients coefficient NOUN fuelectenerg-3306 386 44 is be AUX fuelectenerg-3306 386 45 2 2 NUM fuelectenerg-3306 386 46 and and CCONJ fuelectenerg-3306 386 47 algebraic algebraic ADJ fuelectenerg-3306 386 48 degree degree NOUN fuelectenerg-3306 386 49 is be AUX fuelectenerg-3306 386 50 2 2 NUM fuelectenerg-3306 386 51 ≤ ≤ NUM fuelectenerg-3306 386 52 4/2 4/2 NUM fuelectenerg-3306 386 53 . . PUNCT fuelectenerg-3306 387 1 the the DET fuelectenerg-3306 387 2 walsh walsh PROPN fuelectenerg-3306 387 3 spectrum spectrum VERB fuelectenerg-3306 387 4 with with ADP fuelectenerg-3306 387 5 ( ( PUNCT fuelectenerg-3306 387 6 1,−1 1,−1 X fuelectenerg-3306 387 7 ) ) PUNCT fuelectenerg-3306 387 8 encoding encoding NOUN fuelectenerg-3306 387 9 is be AUX fuelectenerg-3306 387 10 sf sf NOUN fuelectenerg-3306 387 11 , , PUNCT fuelectenerg-3306 387 12 w w NOUN fuelectenerg-3306 388 1 = = PUNCT fuelectenerg-3306 389 1 [ [ X fuelectenerg-3306 389 2 4 4 NUM fuelectenerg-3306 389 3 , , PUNCT fuelectenerg-3306 389 4 4 4 NUM fuelectenerg-3306 389 5 , , PUNCT fuelectenerg-3306 389 6 4,−4 4,−4 PROPN fuelectenerg-3306 389 7 , , PUNCT fuelectenerg-3306 389 8 4 4 NUM fuelectenerg-3306 389 9 , , PUNCT fuelectenerg-3306 389 10 4 4 NUM fuelectenerg-3306 389 11 , , PUNCT fuelectenerg-3306 389 12 4,−4 4,−4 PROPN fuelectenerg-3306 389 13 , , PUNCT fuelectenerg-3306 389 14 4 4 NUM fuelectenerg-3306 389 15 , , PUNCT fuelectenerg-3306 389 16 4 4 NUM fuelectenerg-3306 389 17 , , PUNCT fuelectenerg-3306 389 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 389 19 , , PUNCT fuelectenerg-3306 389 20 4]t 4]t NOUN fuelectenerg-3306 389 21 , , PUNCT fuelectenerg-3306 389 22 where where SCONJ fuelectenerg-3306 389 23 all all DET fuelectenerg-3306 389 24 coefficients coefficient NOUN fuelectenerg-3306 389 25 have have VERB fuelectenerg-3306 389 26 the the DET fuelectenerg-3306 389 27 same same ADJ fuelectenerg-3306 389 28 absolute absolute ADJ fuelectenerg-3306 389 29 value value NOUN fuelectenerg-3306 389 30 22 22 NUM fuelectenerg-3306 389 31 = = SYM fuelectenerg-3306 389 32 4 4 NUM fuelectenerg-3306 389 33 . . NOUN fuelectenerg-3306 389 34 2.4 2.4 NUM fuelectenerg-3306 389 35 construction construction NOUN fuelectenerg-3306 389 36 of of ADP fuelectenerg-3306 389 37 bent bent ADJ fuelectenerg-3306 389 38 functions function NOUN fuelectenerg-3306 389 39 finding find VERB fuelectenerg-3306 389 40 the the DET fuelectenerg-3306 389 41 complete complete ADJ fuelectenerg-3306 389 42 set set NOUN fuelectenerg-3306 389 43 of of ADP fuelectenerg-3306 389 44 bent bent ADJ fuelectenerg-3306 389 45 functions function NOUN fuelectenerg-3306 389 46 for for ADP fuelectenerg-3306 389 47 a a DET fuelectenerg-3306 389 48 given give VERB fuelectenerg-3306 389 49 number number NOUN fuelectenerg-3306 389 50 of of ADP fuelectenerg-3306 389 51 inputs input NOUN fuelectenerg-3306 389 52 is be AUX fuelectenerg-3306 389 53 an an DET fuelectenerg-3306 389 54 open open ADJ fuelectenerg-3306 389 55 problem problem NOUN fuelectenerg-3306 389 56 . . PUNCT fuelectenerg-3306 390 1 there there PRON fuelectenerg-3306 390 2 are be VERB fuelectenerg-3306 390 3 no no DET fuelectenerg-3306 390 4 formal formal ADJ fuelectenerg-3306 390 5 methods method NOUN fuelectenerg-3306 390 6 for for ADP fuelectenerg-3306 390 7 generalization generalization NOUN fuelectenerg-3306 390 8 , , PUNCT fuelectenerg-3306 390 9 construction construction NOUN fuelectenerg-3306 390 10 , , PUNCT fuelectenerg-3306 390 11 or or CCONJ fuelectenerg-3306 390 12 classification classification NOUN fuelectenerg-3306 390 13 of of ADP fuelectenerg-3306 390 14 all all DET fuelectenerg-3306 390 15 bent bent ADJ fuelectenerg-3306 390 16 functions function NOUN fuelectenerg-3306 390 17 for for ADP fuelectenerg-3306 390 18 a a DET fuelectenerg-3306 390 19 given give VERB fuelectenerg-3306 390 20 number number NOUN fuelectenerg-3306 390 21 of of ADP fuelectenerg-3306 390 22 inputs input NOUN fuelectenerg-3306 390 23 . . PUNCT fuelectenerg-3306 391 1 thus thus ADV fuelectenerg-3306 391 2 , , PUNCT fuelectenerg-3306 391 3 it it PRON fuelectenerg-3306 391 4 has have AUX fuelectenerg-3306 391 5 been be AUX fuelectenerg-3306 391 6 developed develop VERB fuelectenerg-3306 391 7 a a DET fuelectenerg-3306 391 8 variety variety NOUN fuelectenerg-3306 391 9 of of ADP fuelectenerg-3306 391 10 approaches approach NOUN fuelectenerg-3306 391 11 for for ADP fuelectenerg-3306 391 12 construction construction NOUN fuelectenerg-3306 391 13 and and CCONJ fuelectenerg-3306 391 14 classification classification NOUN fuelectenerg-3306 391 15 of of ADP fuelectenerg-3306 391 16 bent bent ADJ fuelectenerg-3306 391 17 functions function NOUN fuelectenerg-3306 391 18 with with ADP fuelectenerg-3306 391 19 particular particular ADJ fuelectenerg-3306 391 20 properties property NOUN fuelectenerg-3306 391 21 [ [ X fuelectenerg-3306 391 22 2 2 NUM fuelectenerg-3306 391 23 ] ] PUNCT fuelectenerg-3306 391 24 . . PUNCT fuelectenerg-3306 392 1 however however ADV fuelectenerg-3306 392 2 , , PUNCT fuelectenerg-3306 392 3 bent bent ADJ fuelectenerg-3306 392 4 functions function NOUN fuelectenerg-3306 392 5 that that PRON fuelectenerg-3306 392 6 have have VERB fuelectenerg-3306 392 7 some some DET fuelectenerg-3306 392 8 predefined predefine VERB fuelectenerg-3306 392 9 specific specific ADJ fuelectenerg-3306 392 10 properties property NOUN fuelectenerg-3306 392 11 are be AUX fuelectenerg-3306 392 12 very very ADV fuelectenerg-3306 392 13 rare rare ADJ fuelectenerg-3306 392 14 and and CCONJ fuelectenerg-3306 392 15 they they PRON fuelectenerg-3306 392 16 constitute constitute VERB fuelectenerg-3306 392 17 a a DET fuelectenerg-3306 392 18 rather rather ADV fuelectenerg-3306 392 19 small small ADJ fuelectenerg-3306 392 20 subset subset NOUN fuelectenerg-3306 392 21 of of ADP fuelectenerg-3306 392 22 the the DET fuelectenerg-3306 392 23 total total NOUN fuelectenerg-3306 392 24 of of ADP fuelectenerg-3306 392 25 all all DET fuelectenerg-3306 392 26 bent bent ADJ fuelectenerg-3306 392 27 functions function NOUN fuelectenerg-3306 392 28 . . PUNCT fuelectenerg-3306 393 1 therefore therefore ADV fuelectenerg-3306 393 2 , , PUNCT fuelectenerg-3306 393 3 it it PRON fuelectenerg-3306 393 4 is be AUX fuelectenerg-3306 393 5 important important ADJ fuelectenerg-3306 393 6 to to PART fuelectenerg-3306 393 7 define define VERB fuelectenerg-3306 393 8 different different ADJ fuelectenerg-3306 393 9 approaches approach NOUN fuelectenerg-3306 393 10 for for ADP fuelectenerg-3306 393 11 determination determination NOUN fuelectenerg-3306 393 12 of of ADP fuelectenerg-3306 393 13 bent bent ADJ fuelectenerg-3306 393 14 functions function NOUN fuelectenerg-3306 393 15 . . PUNCT fuelectenerg-3306 394 1 different different ADJ fuelectenerg-3306 394 2 classes class NOUN fuelectenerg-3306 394 3 of of ADP fuelectenerg-3306 394 4 bent bent ADJ fuelectenerg-3306 394 5 functions function NOUN fuelectenerg-3306 394 6 are be AUX fuelectenerg-3306 394 7 focused focus VERB fuelectenerg-3306 394 8 on on ADP fuelectenerg-3306 394 9 bent bent ADJ fuelectenerg-3306 394 10 functions function NOUN fuelectenerg-3306 394 11 satisfying satisfy VERB fuelectenerg-3306 394 12 certain certain ADJ fuelectenerg-3306 394 13 additional additional ADJ fuelectenerg-3306 394 14 conditions condition NOUN fuelectenerg-3306 394 15 . . PUNCT fuelectenerg-3306 395 1 for for ADP fuelectenerg-3306 395 2 example example NOUN fuelectenerg-3306 395 3 , , PUNCT fuelectenerg-3306 395 4 quadratic quadratic ADJ fuelectenerg-3306 395 5 bent bent ADJ fuelectenerg-3306 395 6 functions function NOUN fuelectenerg-3306 395 7 have have VERB fuelectenerg-3306 395 8 an an DET fuelectenerg-3306 395 9 important important ADJ fuelectenerg-3306 395 10 place place NOUN fuelectenerg-3306 395 11 in in ADP fuelectenerg-3306 395 12 bent bent ADJ fuelectenerg-3306 395 13 function function NOUN fuelectenerg-3306 395 14 construction construction NOUN fuelectenerg-3306 395 15 . . PUNCT fuelectenerg-3306 396 1 all all DET fuelectenerg-3306 396 2 bent bent ADJ fuelectenerg-3306 396 3 functions function NOUN fuelectenerg-3306 396 4 from from ADP fuelectenerg-3306 396 5 this this DET fuelectenerg-3306 396 6 class class NOUN fuelectenerg-3306 396 7 are be AUX fuelectenerg-3306 396 8 known know VERB fuelectenerg-3306 396 9 and and CCONJ fuelectenerg-3306 396 10 they they PRON fuelectenerg-3306 396 11 can can AUX fuelectenerg-3306 396 12 be be AUX fuelectenerg-3306 396 13 obtained obtain VERB fuelectenerg-3306 396 14 by by ADP fuelectenerg-3306 396 15 applying apply VERB fuelectenerg-3306 396 16 the the DET fuelectenerg-3306 396 17 affine affine NOUN fuelectenerg-3306 396 18 transformations transformation NOUN fuelectenerg-3306 396 19 to to ADP fuelectenerg-3306 396 20 the the DET fuelectenerg-3306 396 21 variables variable NOUN fuelectenerg-3306 396 22 of of ADP fuelectenerg-3306 396 23 the the DET fuelectenerg-3306 396 24 function function NOUN fuelectenerg-3306 396 25 [ [ X fuelectenerg-3306 396 26 7 7 NUM fuelectenerg-3306 396 27 ] ] PUNCT fuelectenerg-3306 396 28 . . PUNCT fuelectenerg-3306 397 1 two two NUM fuelectenerg-3306 397 2 most most ADV fuelectenerg-3306 397 3 known know VERB fuelectenerg-3306 397 4 approaches approach NOUN fuelectenerg-3306 397 5 for for ADP fuelectenerg-3306 397 6 construction construction NOUN fuelectenerg-3306 397 7 classification classification NOUN fuelectenerg-3306 397 8 of of ADP fuelectenerg-3306 397 9 bent bent ADJ fuelectenerg-3306 397 10 functions function NOUN fuelectenerg-3306 397 11 are be AUX fuelectenerg-3306 397 12 based base VERB fuelectenerg-3306 397 13 on on ADP fuelectenerg-3306 397 14 a a DET fuelectenerg-3306 397 15 combinatorial combinatorial ADJ fuelectenerg-3306 397 16 construction construction NOUN fuelectenerg-3306 397 17 and and CCONJ fuelectenerg-3306 397 18 an an DET fuelectenerg-3306 397 19 algebraic algebraic ADJ fuelectenerg-3306 397 20 construction construction NOUN fuelectenerg-3306 397 21 of of ADP fuelectenerg-3306 397 22 functions function NOUN fuelectenerg-3306 397 23 [ [ X fuelectenerg-3306 397 24 2 2 NUM fuelectenerg-3306 397 25 ] ] PUNCT fuelectenerg-3306 397 26 . . PUNCT fuelectenerg-3306 398 1 the the DET fuelectenerg-3306 398 2 well well ADV fuelectenerg-3306 398 3 - - PUNCT fuelectenerg-3306 398 4 known know VERB fuelectenerg-3306 398 5 combinatorial combinatorial ADJ fuelectenerg-3306 398 6 constructions construction NOUN fuelectenerg-3306 398 7 are be AUX fuelectenerg-3306 398 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 398 9 [ [ X fuelectenerg-3306 398 10 8 8 NUM fuelectenerg-3306 398 11 ] ] PUNCT fuelectenerg-3306 398 12 , , PUNCT fuelectenerg-3306 398 13 partial partial ADJ fuelectenerg-3306 398 14 spreads spread VERB fuelectenerg-3306 398 15 [ [ PUNCT fuelectenerg-3306 398 16 9 9 NUM fuelectenerg-3306 398 17 ] ] PUNCT fuelectenerg-3306 398 18 , , PUNCT fuelectenerg-3306 398 19 dobbertin dobbertin ADJ fuelectenerg-3306 399 1 [ [ X fuelectenerg-3306 399 2 10 10 NUM fuelectenerg-3306 399 3 ] ] PUNCT fuelectenerg-3306 399 4 , , PUNCT fuelectenerg-3306 399 5 iterative iterative ADJ fuelectenerg-3306 399 6 constructions construction NOUN fuelectenerg-3306 400 1 [ [ X fuelectenerg-3306 400 2 11 11 NUM fuelectenerg-3306 400 3 ] ] PUNCT fuelectenerg-3306 400 4 , , PUNCT fuelectenerg-3306 400 5 minterm minterm NOUN fuelectenerg-3306 400 6 constructions construction NOUN fuelectenerg-3306 400 7 [ [ X fuelectenerg-3306 400 8 12 12 NUM fuelectenerg-3306 400 9 ] ] PUNCT fuelectenerg-3306 400 10 , , PUNCT fuelectenerg-3306 400 11 maiorana maiorana PROPN fuelectenerg-3306 400 12 - - PUNCT fuelectenerg-3306 400 13 mcfarland mcfarland PROPN fuelectenerg-3306 400 14 super super ADJ fuelectenerg-3306 400 15 class class NOUN fuelectenerg-3306 401 1 [ [ X fuelectenerg-3306 401 2 13 13 NUM fuelectenerg-3306 401 3 ] ] PUNCT fuelectenerg-3306 401 4 , , PUNCT fuelectenerg-3306 401 5 etc etc X fuelectenerg-3306 401 6 . . X fuelectenerg-3306 401 7 the the DET fuelectenerg-3306 401 8 most most ADV fuelectenerg-3306 401 9 widely widely ADV fuelectenerg-3306 401 10 known know VERB fuelectenerg-3306 401 11 algebraic algebraic ADJ fuelectenerg-3306 401 12 constructions construction NOUN fuelectenerg-3306 401 13 are be AUX fuelectenerg-3306 401 14 monomial monomial ADJ fuelectenerg-3306 401 15 bent bent ADJ fuelectenerg-3306 401 16 functions function NOUN fuelectenerg-3306 401 17 in in ADP fuelectenerg-3306 401 18 the the DET fuelectenerg-3306 401 19 kasami kasami NOUN fuelectenerg-3306 401 20 , , PUNCT fuelectenerg-3306 401 21 gold gold NOUN fuelectenerg-3306 401 22 , , PUNCT fuelectenerg-3306 401 23 dillon dillon PROPN fuelectenerg-3306 401 24 and and CCONJ fuelectenerg-3306 401 25 canteaut canteaut NOUN fuelectenerg-3306 401 26 - - PUNCT fuelectenerg-3306 401 27 leander leander NOUN fuelectenerg-3306 401 28 case case NOUN fuelectenerg-3306 401 29 [ [ X fuelectenerg-3306 401 30 14 14 NUM fuelectenerg-3306 401 31 ] ] PUNCT fuelectenerg-3306 401 32 , , PUNCT fuelectenerg-3306 401 33 hyper hyper ADJ fuelectenerg-3306 401 34 bent bent ADJ fuelectenerg-3306 401 35 functions function NOUN fuelectenerg-3306 401 36 [ [ X fuelectenerg-3306 401 37 15 15 NUM fuelectenerg-3306 401 38 ] ] PUNCT fuelectenerg-3306 401 39 , , PUNCT fuelectenerg-3306 401 40 niho niho ADJ fuelectenerg-3306 401 41 bent bent ADJ fuelectenerg-3306 401 42 functions function NOUN fuelectenerg-3306 401 43 [ [ X fuelectenerg-3306 401 44 16 16 NUM fuelectenerg-3306 401 45 ] ] PUNCT fuelectenerg-3306 401 46 , , PUNCT fuelectenerg-3306 401 47 etc etc X fuelectenerg-3306 401 48 . . X fuelectenerg-3306 401 49 3 3 NUM fuelectenerg-3306 401 50 subsets subset NOUN fuelectenerg-3306 401 51 of of ADP fuelectenerg-3306 401 52 bent bent ADJ fuelectenerg-3306 401 53 functions function NOUN fuelectenerg-3306 401 54 in in ADP fuelectenerg-3306 401 55 the the DET fuelectenerg-3306 401 56 rm rm NOUN fuelectenerg-3306 401 57 domain domain NOUN fuelectenerg-3306 401 58 in in ADP fuelectenerg-3306 401 59 this this DET fuelectenerg-3306 401 60 paper paper NOUN fuelectenerg-3306 401 61 , , PUNCT fuelectenerg-3306 401 62 we we PRON fuelectenerg-3306 401 63 propose propose VERB fuelectenerg-3306 401 64 to to PART fuelectenerg-3306 401 65 split split VERB fuelectenerg-3306 401 66 the the DET fuelectenerg-3306 401 67 set set NOUN fuelectenerg-3306 401 68 of of ADP fuelectenerg-3306 401 69 all all DET fuelectenerg-3306 401 70 boolean boolean ADJ fuelectenerg-3306 401 71 functions function NOUN fuelectenerg-3306 401 72 with with ADP fuelectenerg-3306 401 73 respect respect NOUN fuelectenerg-3306 401 74 to to ADP fuelectenerg-3306 401 75 three three NUM fuelectenerg-3306 401 76 different different ADJ fuelectenerg-3306 401 77 criteria criterion NOUN fuelectenerg-3306 401 78 related relate VERB fuelectenerg-3306 401 79 to to ADP fuelectenerg-3306 401 80 the the DET fuelectenerg-3306 401 81 properties property NOUN fuelectenerg-3306 401 82 of of ADP fuelectenerg-3306 401 83 rm rm PROPN fuelectenerg-3306 401 84 - - PUNCT fuelectenerg-3306 401 85 spectra spectra PROPN fuelectenerg-3306 401 86 of of ADP fuelectenerg-3306 401 87 bent bent ADJ fuelectenerg-3306 401 88 functions function NOUN fuelectenerg-3306 401 89 : : PUNCT fuelectenerg-3306 402 1 1 1 X fuelectenerg-3306 402 2 . . PUNCT fuelectenerg-3306 402 3 the the DET fuelectenerg-3306 402 4 number number NOUN fuelectenerg-3306 402 5 of of ADP fuelectenerg-3306 402 6 non non ADJ fuelectenerg-3306 402 7 - - ADJ fuelectenerg-3306 402 8 zero zero NUM fuelectenerg-3306 402 9 rm rm NOUN fuelectenerg-3306 402 10 - - PUNCT fuelectenerg-3306 402 11 coefficients coefficient NOUN fuelectenerg-3306 402 12 . . PUNCT fuelectenerg-3306 403 1 we we PRON fuelectenerg-3306 403 2 call call VERB fuelectenerg-3306 403 3 it it PRON fuelectenerg-3306 403 4 the the DET fuelectenerg-3306 403 5 vertical vertical ADJ fuelectenerg-3306 403 6 subset subset NOUN fuelectenerg-3306 403 7 . . PUNCT fuelectenerg-3306 404 1 2 2 X fuelectenerg-3306 404 2 . . X fuelectenerg-3306 404 3 the the DET fuelectenerg-3306 404 4 orders order NOUN fuelectenerg-3306 404 5 of of ADP fuelectenerg-3306 404 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 404 7 defined define VERB fuelectenerg-3306 404 8 as as ADP fuelectenerg-3306 404 9 the the DET fuelectenerg-3306 404 10 maximum maximum ADJ fuelectenerg-3306 404 11 number number NOUN fuelectenerg-3306 404 12 of of ADP fuelectenerg-3306 404 13 variables variable NOUN fuelectenerg-3306 404 14 210 210 NUM fuelectenerg-3306 404 15 m. m. NOUN fuelectenerg-3306 404 16 radmanović radmanović NOUN fuelectenerg-3306 404 17 , , PUNCT fuelectenerg-3306 404 18 r. r. PROPN fuelectenerg-3306 404 19 s. s. PROPN fuelectenerg-3306 404 20 stanković stanković PROPN fuelectenerg-3306 404 21 construction construction NOUN fuelectenerg-3306 404 22 of of ADP fuelectenerg-3306 404 23 subsets subset NOUN fuelectenerg-3306 404 24 of of ADP fuelectenerg-3306 404 25 bent bent ADJ fuelectenerg-3306 404 26 functions function NOUN fuelectenerg-3306 404 27 satisfying satisfy VERB fuelectenerg-3306 404 28 restrictions restriction NOUN fuelectenerg-3306 404 29 ... ... PUNCT fuelectenerg-3306 404 30 211 211 NUM fuelectenerg-3306 404 31 6 6 NUM fuelectenerg-3306 404 32 m. m. NOUN fuelectenerg-3306 404 33 radmanović radmanović PROPN fuelectenerg-3306 404 34 and and CCONJ fuelectenerg-3306 404 35 r. r. PROPN fuelectenerg-3306 404 36 stanković stanković PROPN fuelectenerg-3306 404 37 example example NOUN fuelectenerg-3306 405 1 1 1 NUM fuelectenerg-3306 405 2 consider consider VERB fuelectenerg-3306 405 3 for for ADP fuelectenerg-3306 405 4 a a DET fuelectenerg-3306 405 5 bent bent ADJ fuelectenerg-3306 405 6 function function NOUN fuelectenerg-3306 405 7 of of ADP fuelectenerg-3306 405 8 four four NUM fuelectenerg-3306 405 9 variables variable NOUN fuelectenerg-3306 405 10 f(x1 f(x1 ADJ fuelectenerg-3306 405 11 , , PUNCT fuelectenerg-3306 405 12 x2 x2 PROPN fuelectenerg-3306 405 13 , , PUNCT fuelectenerg-3306 405 14 x3 x3 ADJ fuelectenerg-3306 405 15 , , PUNCT fuelectenerg-3306 405 16 x4 x4 PROPN fuelectenerg-3306 405 17 ) ) PUNCT fuelectenerg-3306 405 18 = = SYM fuelectenerg-3306 405 19 x1x2 x1x2 PROPN fuelectenerg-3306 405 20 ⊕ ⊕ PROPN fuelectenerg-3306 405 21 x3x4 x3x4 ADP fuelectenerg-3306 405 22 , , PUNCT fuelectenerg-3306 405 23 given give VERB fuelectenerg-3306 405 24 by by ADP fuelectenerg-3306 405 25 f f PROPN fuelectenerg-3306 405 26 = = PUNCT fuelectenerg-3306 406 1 [ [ X fuelectenerg-3306 406 2 0 0 NUM fuelectenerg-3306 406 3 , , PUNCT fuelectenerg-3306 406 4 0 0 NUM fuelectenerg-3306 406 5 , , PUNCT fuelectenerg-3306 406 6 0 0 NUM fuelectenerg-3306 406 7 , , PUNCT fuelectenerg-3306 406 8 1 1 NUM fuelectenerg-3306 406 9 , , PUNCT fuelectenerg-3306 406 10 0 0 NUM fuelectenerg-3306 406 11 , , PUNCT fuelectenerg-3306 406 12 0 0 NUM fuelectenerg-3306 406 13 , , PUNCT fuelectenerg-3306 406 14 0 0 NUM fuelectenerg-3306 406 15 , , PUNCT fuelectenerg-3306 406 16 1 1 NUM fuelectenerg-3306 406 17 , , PUNCT fuelectenerg-3306 406 18 0 0 NUM fuelectenerg-3306 406 19 , , PUNCT fuelectenerg-3306 406 20 0 0 NUM fuelectenerg-3306 406 21 , , PUNCT fuelectenerg-3306 406 22 0 0 NUM fuelectenerg-3306 406 23 , , PUNCT fuelectenerg-3306 406 24 1 1 NUM fuelectenerg-3306 406 25 , , PUNCT fuelectenerg-3306 406 26 1 1 NUM fuelectenerg-3306 406 27 , , PUNCT fuelectenerg-3306 406 28 1 1 NUM fuelectenerg-3306 406 29 , , PUNCT fuelectenerg-3306 406 30 1 1 NUM fuelectenerg-3306 406 31 , , PUNCT fuelectenerg-3306 406 32 0]t 0]t NUM fuelectenerg-3306 406 33 . . PUNCT fuelectenerg-3306 407 1 the the DET fuelectenerg-3306 407 2 rm rm PROPN fuelectenerg-3306 407 3 spectrum spectrum NOUN fuelectenerg-3306 407 4 is be AUX fuelectenerg-3306 407 5 sf sf INTJ fuelectenerg-3306 407 6 = = PUNCT fuelectenerg-3306 408 1 [ [ X fuelectenerg-3306 408 2 0 0 NUM fuelectenerg-3306 408 3 , , PUNCT fuelectenerg-3306 408 4 0 0 NUM fuelectenerg-3306 408 5 , , PUNCT fuelectenerg-3306 408 6 0 0 NUM fuelectenerg-3306 408 7 , , PUNCT fuelectenerg-3306 408 8 1 1 NUM fuelectenerg-3306 408 9 , , PUNCT fuelectenerg-3306 408 10 0 0 NUM fuelectenerg-3306 408 11 , , PUNCT fuelectenerg-3306 408 12 0 0 NUM fuelectenerg-3306 408 13 , , PUNCT fuelectenerg-3306 408 14 0 0 NUM fuelectenerg-3306 408 15 , , PUNCT fuelectenerg-3306 408 16 0 0 NUM fuelectenerg-3306 408 17 , , PUNCT fuelectenerg-3306 408 18 0 0 NUM fuelectenerg-3306 408 19 , , PUNCT fuelectenerg-3306 408 20 0 0 NUM fuelectenerg-3306 408 21 , , PUNCT fuelectenerg-3306 408 22 0 0 NUM fuelectenerg-3306 408 23 , , PUNCT fuelectenerg-3306 408 24 0 0 NUM fuelectenerg-3306 408 25 , , PUNCT fuelectenerg-3306 408 26 1 1 NUM fuelectenerg-3306 408 27 , , PUNCT fuelectenerg-3306 408 28 0 0 NUM fuelectenerg-3306 408 29 , , PUNCT fuelectenerg-3306 408 30 0 0 NUM fuelectenerg-3306 408 31 , , PUNCT fuelectenerg-3306 408 32 0]t 0]t NUM fuelectenerg-3306 408 33 , , PUNCT fuelectenerg-3306 408 34 from from ADP fuelectenerg-3306 408 35 where where SCONJ fuelectenerg-3306 408 36 the the DET fuelectenerg-3306 408 37 number number NOUN fuelectenerg-3306 408 38 of of ADP fuelectenerg-3306 408 39 non non ADJ fuelectenerg-3306 408 40 - - ADJ fuelectenerg-3306 408 41 zero zero NUM fuelectenerg-3306 408 42 rm rm NOUN fuelectenerg-3306 408 43 coefficients coefficient NOUN fuelectenerg-3306 408 44 is be AUX fuelectenerg-3306 408 45 2 2 NUM fuelectenerg-3306 408 46 and and CCONJ fuelectenerg-3306 408 47 algebraic algebraic ADJ fuelectenerg-3306 408 48 degree degree NOUN fuelectenerg-3306 408 49 is be AUX fuelectenerg-3306 408 50 2 2 NUM fuelectenerg-3306 408 51 ≤ ≤ NUM fuelectenerg-3306 408 52 4/2 4/2 NUM fuelectenerg-3306 408 53 . . PUNCT fuelectenerg-3306 409 1 the the DET fuelectenerg-3306 409 2 walsh walsh PROPN fuelectenerg-3306 409 3 spectrum spectrum VERB fuelectenerg-3306 409 4 with with ADP fuelectenerg-3306 409 5 ( ( PUNCT fuelectenerg-3306 409 6 1,−1 1,−1 X fuelectenerg-3306 409 7 ) ) PUNCT fuelectenerg-3306 409 8 encoding encoding NOUN fuelectenerg-3306 409 9 is be AUX fuelectenerg-3306 409 10 sf sf NOUN fuelectenerg-3306 409 11 , , PUNCT fuelectenerg-3306 409 12 w w NOUN fuelectenerg-3306 410 1 = = PUNCT fuelectenerg-3306 411 1 [ [ X fuelectenerg-3306 411 2 4 4 NUM fuelectenerg-3306 411 3 , , PUNCT fuelectenerg-3306 411 4 4 4 NUM fuelectenerg-3306 411 5 , , PUNCT fuelectenerg-3306 411 6 4,−4 4,−4 PROPN fuelectenerg-3306 411 7 , , PUNCT fuelectenerg-3306 411 8 4 4 NUM fuelectenerg-3306 411 9 , , PUNCT fuelectenerg-3306 411 10 4 4 NUM fuelectenerg-3306 411 11 , , PUNCT fuelectenerg-3306 411 12 4,−4 4,−4 PROPN fuelectenerg-3306 411 13 , , PUNCT fuelectenerg-3306 411 14 4 4 NUM fuelectenerg-3306 411 15 , , PUNCT fuelectenerg-3306 411 16 4 4 NUM fuelectenerg-3306 411 17 , , PUNCT fuelectenerg-3306 411 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 411 19 , , PUNCT fuelectenerg-3306 411 20 4]t 4]t NOUN fuelectenerg-3306 411 21 , , PUNCT fuelectenerg-3306 411 22 where where SCONJ fuelectenerg-3306 411 23 all all DET fuelectenerg-3306 411 24 coefficients coefficient NOUN fuelectenerg-3306 411 25 have have VERB fuelectenerg-3306 411 26 the the DET fuelectenerg-3306 411 27 same same ADJ fuelectenerg-3306 411 28 absolute absolute ADJ fuelectenerg-3306 411 29 value value NOUN fuelectenerg-3306 411 30 22 22 NUM fuelectenerg-3306 411 31 = = SYM fuelectenerg-3306 411 32 4 4 NUM fuelectenerg-3306 411 33 . . NOUN fuelectenerg-3306 411 34 2.4 2.4 NUM fuelectenerg-3306 411 35 construction construction NOUN fuelectenerg-3306 411 36 of of ADP fuelectenerg-3306 411 37 bent bent ADJ fuelectenerg-3306 411 38 functions function NOUN fuelectenerg-3306 411 39 finding find VERB fuelectenerg-3306 411 40 the the DET fuelectenerg-3306 411 41 complete complete ADJ fuelectenerg-3306 411 42 set set NOUN fuelectenerg-3306 411 43 of of ADP fuelectenerg-3306 411 44 bent bent ADJ fuelectenerg-3306 411 45 functions function NOUN fuelectenerg-3306 411 46 for for ADP fuelectenerg-3306 411 47 a a DET fuelectenerg-3306 411 48 given give VERB fuelectenerg-3306 411 49 number number NOUN fuelectenerg-3306 411 50 of of ADP fuelectenerg-3306 411 51 inputs input NOUN fuelectenerg-3306 411 52 is be AUX fuelectenerg-3306 411 53 an an DET fuelectenerg-3306 411 54 open open ADJ fuelectenerg-3306 411 55 problem problem NOUN fuelectenerg-3306 411 56 . . PUNCT fuelectenerg-3306 412 1 there there PRON fuelectenerg-3306 412 2 are be VERB fuelectenerg-3306 412 3 no no DET fuelectenerg-3306 412 4 formal formal ADJ fuelectenerg-3306 412 5 methods method NOUN fuelectenerg-3306 412 6 for for ADP fuelectenerg-3306 412 7 generalization generalization NOUN fuelectenerg-3306 412 8 , , PUNCT fuelectenerg-3306 412 9 construction construction NOUN fuelectenerg-3306 412 10 , , PUNCT fuelectenerg-3306 412 11 or or CCONJ fuelectenerg-3306 412 12 classification classification NOUN fuelectenerg-3306 412 13 of of ADP fuelectenerg-3306 412 14 all all DET fuelectenerg-3306 412 15 bent bent ADJ fuelectenerg-3306 412 16 functions function NOUN fuelectenerg-3306 412 17 for for ADP fuelectenerg-3306 412 18 a a DET fuelectenerg-3306 412 19 given give VERB fuelectenerg-3306 412 20 number number NOUN fuelectenerg-3306 412 21 of of ADP fuelectenerg-3306 412 22 inputs input NOUN fuelectenerg-3306 412 23 . . PUNCT fuelectenerg-3306 413 1 thus thus ADV fuelectenerg-3306 413 2 , , PUNCT fuelectenerg-3306 413 3 it it PRON fuelectenerg-3306 413 4 has have AUX fuelectenerg-3306 413 5 been be AUX fuelectenerg-3306 413 6 developed develop VERB fuelectenerg-3306 413 7 a a DET fuelectenerg-3306 413 8 variety variety NOUN fuelectenerg-3306 413 9 of of ADP fuelectenerg-3306 413 10 approaches approach NOUN fuelectenerg-3306 413 11 for for ADP fuelectenerg-3306 413 12 construction construction NOUN fuelectenerg-3306 413 13 and and CCONJ fuelectenerg-3306 413 14 classification classification NOUN fuelectenerg-3306 413 15 of of ADP fuelectenerg-3306 413 16 bent bent ADJ fuelectenerg-3306 413 17 functions function NOUN fuelectenerg-3306 413 18 with with ADP fuelectenerg-3306 413 19 particular particular ADJ fuelectenerg-3306 413 20 properties property NOUN fuelectenerg-3306 413 21 [ [ X fuelectenerg-3306 413 22 2 2 NUM fuelectenerg-3306 413 23 ] ] PUNCT fuelectenerg-3306 413 24 . . PUNCT fuelectenerg-3306 414 1 however however ADV fuelectenerg-3306 414 2 , , PUNCT fuelectenerg-3306 414 3 bent bent ADJ fuelectenerg-3306 414 4 functions function NOUN fuelectenerg-3306 414 5 that that PRON fuelectenerg-3306 414 6 have have VERB fuelectenerg-3306 414 7 some some DET fuelectenerg-3306 414 8 predefined predefine VERB fuelectenerg-3306 414 9 specific specific ADJ fuelectenerg-3306 414 10 properties property NOUN fuelectenerg-3306 414 11 are be AUX fuelectenerg-3306 414 12 very very ADV fuelectenerg-3306 414 13 rare rare ADJ fuelectenerg-3306 414 14 and and CCONJ fuelectenerg-3306 414 15 they they PRON fuelectenerg-3306 414 16 constitute constitute VERB fuelectenerg-3306 414 17 a a DET fuelectenerg-3306 414 18 rather rather ADV fuelectenerg-3306 414 19 small small ADJ fuelectenerg-3306 414 20 subset subset NOUN fuelectenerg-3306 414 21 of of ADP fuelectenerg-3306 414 22 the the DET fuelectenerg-3306 414 23 total total NOUN fuelectenerg-3306 414 24 of of ADP fuelectenerg-3306 414 25 all all DET fuelectenerg-3306 414 26 bent bent ADJ fuelectenerg-3306 414 27 functions function NOUN fuelectenerg-3306 414 28 . . PUNCT fuelectenerg-3306 415 1 therefore therefore ADV fuelectenerg-3306 415 2 , , PUNCT fuelectenerg-3306 415 3 it it PRON fuelectenerg-3306 415 4 is be AUX fuelectenerg-3306 415 5 important important ADJ fuelectenerg-3306 415 6 to to PART fuelectenerg-3306 415 7 define define VERB fuelectenerg-3306 415 8 different different ADJ fuelectenerg-3306 415 9 approaches approach NOUN fuelectenerg-3306 415 10 for for ADP fuelectenerg-3306 415 11 determination determination NOUN fuelectenerg-3306 415 12 of of ADP fuelectenerg-3306 415 13 bent bent ADJ fuelectenerg-3306 415 14 functions function NOUN fuelectenerg-3306 415 15 . . PUNCT fuelectenerg-3306 416 1 different different ADJ fuelectenerg-3306 416 2 classes class NOUN fuelectenerg-3306 416 3 of of ADP fuelectenerg-3306 416 4 bent bent ADJ fuelectenerg-3306 416 5 functions function NOUN fuelectenerg-3306 416 6 are be AUX fuelectenerg-3306 416 7 focused focus VERB fuelectenerg-3306 416 8 on on ADP fuelectenerg-3306 416 9 bent bent ADJ fuelectenerg-3306 416 10 functions function NOUN fuelectenerg-3306 416 11 satisfying satisfy VERB fuelectenerg-3306 416 12 certain certain ADJ fuelectenerg-3306 416 13 additional additional ADJ fuelectenerg-3306 416 14 conditions condition NOUN fuelectenerg-3306 416 15 . . PUNCT fuelectenerg-3306 417 1 for for ADP fuelectenerg-3306 417 2 example example NOUN fuelectenerg-3306 417 3 , , PUNCT fuelectenerg-3306 417 4 quadratic quadratic ADJ fuelectenerg-3306 417 5 bent bent ADJ fuelectenerg-3306 417 6 functions function NOUN fuelectenerg-3306 417 7 have have VERB fuelectenerg-3306 417 8 an an DET fuelectenerg-3306 417 9 important important ADJ fuelectenerg-3306 417 10 place place NOUN fuelectenerg-3306 417 11 in in ADP fuelectenerg-3306 417 12 bent bent ADJ fuelectenerg-3306 417 13 function function NOUN fuelectenerg-3306 417 14 construction construction NOUN fuelectenerg-3306 417 15 . . PUNCT fuelectenerg-3306 418 1 all all DET fuelectenerg-3306 418 2 bent bent ADJ fuelectenerg-3306 418 3 functions function NOUN fuelectenerg-3306 418 4 from from ADP fuelectenerg-3306 418 5 this this DET fuelectenerg-3306 418 6 class class NOUN fuelectenerg-3306 418 7 are be AUX fuelectenerg-3306 418 8 known know VERB fuelectenerg-3306 418 9 and and CCONJ fuelectenerg-3306 418 10 they they PRON fuelectenerg-3306 418 11 can can AUX fuelectenerg-3306 418 12 be be AUX fuelectenerg-3306 418 13 obtained obtain VERB fuelectenerg-3306 418 14 by by ADP fuelectenerg-3306 418 15 applying apply VERB fuelectenerg-3306 418 16 the the DET fuelectenerg-3306 418 17 affine affine NOUN fuelectenerg-3306 418 18 transformations transformation NOUN fuelectenerg-3306 418 19 to to ADP fuelectenerg-3306 418 20 the the DET fuelectenerg-3306 418 21 variables variable NOUN fuelectenerg-3306 418 22 of of ADP fuelectenerg-3306 418 23 the the DET fuelectenerg-3306 418 24 function function NOUN fuelectenerg-3306 418 25 [ [ X fuelectenerg-3306 418 26 7 7 NUM fuelectenerg-3306 418 27 ] ] PUNCT fuelectenerg-3306 418 28 . . PUNCT fuelectenerg-3306 419 1 two two NUM fuelectenerg-3306 419 2 most most ADV fuelectenerg-3306 419 3 known know VERB fuelectenerg-3306 419 4 approaches approach NOUN fuelectenerg-3306 419 5 for for ADP fuelectenerg-3306 419 6 construction construction NOUN fuelectenerg-3306 419 7 classification classification NOUN fuelectenerg-3306 419 8 of of ADP fuelectenerg-3306 419 9 bent bent ADJ fuelectenerg-3306 419 10 functions function NOUN fuelectenerg-3306 419 11 are be AUX fuelectenerg-3306 419 12 based base VERB fuelectenerg-3306 419 13 on on ADP fuelectenerg-3306 419 14 a a DET fuelectenerg-3306 419 15 combinatorial combinatorial ADJ fuelectenerg-3306 419 16 construction construction NOUN fuelectenerg-3306 419 17 and and CCONJ fuelectenerg-3306 419 18 an an DET fuelectenerg-3306 419 19 algebraic algebraic ADJ fuelectenerg-3306 419 20 construction construction NOUN fuelectenerg-3306 419 21 of of ADP fuelectenerg-3306 419 22 functions function NOUN fuelectenerg-3306 419 23 [ [ X fuelectenerg-3306 419 24 2 2 NUM fuelectenerg-3306 419 25 ] ] PUNCT fuelectenerg-3306 419 26 . . PUNCT fuelectenerg-3306 420 1 the the DET fuelectenerg-3306 420 2 well well ADV fuelectenerg-3306 420 3 - - PUNCT fuelectenerg-3306 420 4 known know VERB fuelectenerg-3306 420 5 combinatorial combinatorial ADJ fuelectenerg-3306 420 6 constructions construction NOUN fuelectenerg-3306 420 7 are be AUX fuelectenerg-3306 420 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 420 9 [ [ X fuelectenerg-3306 420 10 8 8 NUM fuelectenerg-3306 420 11 ] ] PUNCT fuelectenerg-3306 420 12 , , PUNCT fuelectenerg-3306 420 13 partial partial ADJ fuelectenerg-3306 420 14 spreads spread VERB fuelectenerg-3306 420 15 [ [ PUNCT fuelectenerg-3306 420 16 9 9 NUM fuelectenerg-3306 420 17 ] ] PUNCT fuelectenerg-3306 420 18 , , PUNCT fuelectenerg-3306 420 19 dobbertin dobbertin ADJ fuelectenerg-3306 421 1 [ [ X fuelectenerg-3306 421 2 10 10 NUM fuelectenerg-3306 421 3 ] ] PUNCT fuelectenerg-3306 421 4 , , PUNCT fuelectenerg-3306 421 5 iterative iterative ADJ fuelectenerg-3306 421 6 constructions construction NOUN fuelectenerg-3306 422 1 [ [ X fuelectenerg-3306 422 2 11 11 NUM fuelectenerg-3306 422 3 ] ] PUNCT fuelectenerg-3306 422 4 , , PUNCT fuelectenerg-3306 422 5 minterm minterm NOUN fuelectenerg-3306 422 6 constructions construction NOUN fuelectenerg-3306 422 7 [ [ X fuelectenerg-3306 422 8 12 12 NUM fuelectenerg-3306 422 9 ] ] PUNCT fuelectenerg-3306 422 10 , , PUNCT fuelectenerg-3306 422 11 maiorana maiorana PROPN fuelectenerg-3306 422 12 - - PUNCT fuelectenerg-3306 422 13 mcfarland mcfarland PROPN fuelectenerg-3306 422 14 super super ADJ fuelectenerg-3306 422 15 class class NOUN fuelectenerg-3306 423 1 [ [ X fuelectenerg-3306 423 2 13 13 NUM fuelectenerg-3306 423 3 ] ] PUNCT fuelectenerg-3306 423 4 , , PUNCT fuelectenerg-3306 423 5 etc etc X fuelectenerg-3306 423 6 . . X fuelectenerg-3306 423 7 the the DET fuelectenerg-3306 423 8 most most ADV fuelectenerg-3306 423 9 widely widely ADV fuelectenerg-3306 423 10 known know VERB fuelectenerg-3306 423 11 algebraic algebraic ADJ fuelectenerg-3306 423 12 constructions construction NOUN fuelectenerg-3306 423 13 are be AUX fuelectenerg-3306 423 14 monomial monomial ADJ fuelectenerg-3306 423 15 bent bent ADJ fuelectenerg-3306 423 16 functions function NOUN fuelectenerg-3306 423 17 in in ADP fuelectenerg-3306 423 18 the the DET fuelectenerg-3306 423 19 kasami kasami NOUN fuelectenerg-3306 423 20 , , PUNCT fuelectenerg-3306 423 21 gold gold NOUN fuelectenerg-3306 423 22 , , PUNCT fuelectenerg-3306 423 23 dillon dillon PROPN fuelectenerg-3306 423 24 and and CCONJ fuelectenerg-3306 423 25 canteaut canteaut NOUN fuelectenerg-3306 423 26 - - PUNCT fuelectenerg-3306 423 27 leander leander NOUN fuelectenerg-3306 423 28 case case NOUN fuelectenerg-3306 423 29 [ [ X fuelectenerg-3306 423 30 14 14 NUM fuelectenerg-3306 423 31 ] ] PUNCT fuelectenerg-3306 423 32 , , PUNCT fuelectenerg-3306 423 33 hyper hyper ADJ fuelectenerg-3306 423 34 bent bent ADJ fuelectenerg-3306 423 35 functions function NOUN fuelectenerg-3306 423 36 [ [ X fuelectenerg-3306 423 37 15 15 NUM fuelectenerg-3306 423 38 ] ] PUNCT fuelectenerg-3306 423 39 , , PUNCT fuelectenerg-3306 423 40 niho niho ADJ fuelectenerg-3306 423 41 bent bent ADJ fuelectenerg-3306 423 42 functions function NOUN fuelectenerg-3306 423 43 [ [ X fuelectenerg-3306 423 44 16 16 NUM fuelectenerg-3306 423 45 ] ] PUNCT fuelectenerg-3306 423 46 , , PUNCT fuelectenerg-3306 423 47 etc etc X fuelectenerg-3306 423 48 . . X fuelectenerg-3306 423 49 3 3 NUM fuelectenerg-3306 423 50 subsets subset NOUN fuelectenerg-3306 423 51 of of ADP fuelectenerg-3306 423 52 bent bent ADJ fuelectenerg-3306 423 53 functions function NOUN fuelectenerg-3306 423 54 in in ADP fuelectenerg-3306 423 55 the the DET fuelectenerg-3306 423 56 rm rm NOUN fuelectenerg-3306 423 57 domain domain NOUN fuelectenerg-3306 423 58 in in ADP fuelectenerg-3306 423 59 this this DET fuelectenerg-3306 423 60 paper paper NOUN fuelectenerg-3306 423 61 , , PUNCT fuelectenerg-3306 423 62 we we PRON fuelectenerg-3306 423 63 propose propose VERB fuelectenerg-3306 423 64 to to PART fuelectenerg-3306 423 65 split split VERB fuelectenerg-3306 423 66 the the DET fuelectenerg-3306 423 67 set set NOUN fuelectenerg-3306 423 68 of of ADP fuelectenerg-3306 423 69 all all DET fuelectenerg-3306 423 70 boolean boolean ADJ fuelectenerg-3306 423 71 functions function NOUN fuelectenerg-3306 423 72 with with ADP fuelectenerg-3306 423 73 respect respect NOUN fuelectenerg-3306 423 74 to to ADP fuelectenerg-3306 423 75 three three NUM fuelectenerg-3306 423 76 different different ADJ fuelectenerg-3306 423 77 criteria criterion NOUN fuelectenerg-3306 423 78 related relate VERB fuelectenerg-3306 423 79 to to ADP fuelectenerg-3306 423 80 the the DET fuelectenerg-3306 423 81 properties property NOUN fuelectenerg-3306 423 82 of of ADP fuelectenerg-3306 423 83 rm rm PROPN fuelectenerg-3306 423 84 - - PUNCT fuelectenerg-3306 423 85 spectra spectra PROPN fuelectenerg-3306 423 86 of of ADP fuelectenerg-3306 423 87 bent bent ADJ fuelectenerg-3306 423 88 functions function NOUN fuelectenerg-3306 423 89 : : PUNCT fuelectenerg-3306 424 1 1 1 X fuelectenerg-3306 424 2 . . PUNCT fuelectenerg-3306 424 3 the the DET fuelectenerg-3306 424 4 number number NOUN fuelectenerg-3306 424 5 of of ADP fuelectenerg-3306 424 6 non non ADJ fuelectenerg-3306 424 7 - - ADJ fuelectenerg-3306 424 8 zero zero NUM fuelectenerg-3306 424 9 rm rm NOUN fuelectenerg-3306 424 10 - - PUNCT fuelectenerg-3306 424 11 coefficients coefficient NOUN fuelectenerg-3306 424 12 . . PUNCT fuelectenerg-3306 425 1 we we PRON fuelectenerg-3306 425 2 call call VERB fuelectenerg-3306 425 3 it it PRON fuelectenerg-3306 425 4 the the DET fuelectenerg-3306 425 5 vertical vertical ADJ fuelectenerg-3306 425 6 subset subset NOUN fuelectenerg-3306 425 7 . . PUNCT fuelectenerg-3306 426 1 2 2 X fuelectenerg-3306 426 2 . . X fuelectenerg-3306 426 3 the the DET fuelectenerg-3306 426 4 orders order NOUN fuelectenerg-3306 426 5 of of ADP fuelectenerg-3306 426 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 426 7 defined define VERB fuelectenerg-3306 426 8 as as ADP fuelectenerg-3306 426 9 the the DET fuelectenerg-3306 426 10 maximum maximum ADJ fuelectenerg-3306 426 11 number number NOUN fuelectenerg-3306 426 12 of of ADP fuelectenerg-3306 426 13 variables variable NOUN fuelectenerg-3306 426 14 construction construction NOUN fuelectenerg-3306 426 15 of of ADP fuelectenerg-3306 426 16 subsets subset NOUN fuelectenerg-3306 426 17 of of ADP fuelectenerg-3306 426 18 bent bent ADJ fuelectenerg-3306 426 19 functions function NOUN fuelectenerg-3306 426 20 satisfying satisfy VERB fuelectenerg-3306 426 21 restrictions restriction NOUN fuelectenerg-3306 426 22 ... ... PUNCT fuelectenerg-3306 426 23 7 7 NUM fuelectenerg-3306 426 24 in in ADP fuelectenerg-3306 426 25 a a DET fuelectenerg-3306 426 26 product product NOUN fuelectenerg-3306 426 27 term term NOUN fuelectenerg-3306 426 28 corresponding correspond VERB fuelectenerg-3306 426 29 to to ADP fuelectenerg-3306 426 30 a a DET fuelectenerg-3306 426 31 non non ADJ fuelectenerg-3306 426 32 - - ADJ fuelectenerg-3306 426 33 zero zero NUM fuelectenerg-3306 426 34 rm rm NOUN fuelectenerg-3306 426 35 - - NOUN fuelectenerg-3306 426 36 coefficient coefficient NOUN fuelectenerg-3306 426 37 . . PUNCT fuelectenerg-3306 427 1 we we PRON fuelectenerg-3306 427 2 call call VERB fuelectenerg-3306 427 3 it it PRON fuelectenerg-3306 427 4 the the DET fuelectenerg-3306 427 5 horizontal horizontal ADJ fuelectenerg-3306 427 6 subset subset NOUN fuelectenerg-3306 427 7 . . PUNCT fuelectenerg-3306 428 1 3 3 X fuelectenerg-3306 428 2 . . X fuelectenerg-3306 428 3 both both PRON fuelectenerg-3306 428 4 , , PUNCT fuelectenerg-3306 428 5 the the DET fuelectenerg-3306 428 6 number number NOUN fuelectenerg-3306 428 7 of of ADP fuelectenerg-3306 428 8 non non ADJ fuelectenerg-3306 428 9 - - ADJ fuelectenerg-3306 428 10 zero zero NUM fuelectenerg-3306 428 11 rm rm NOUN fuelectenerg-3306 428 12 - - PUNCT fuelectenerg-3306 428 13 coefficients coefficient NOUN fuelectenerg-3306 428 14 and and CCONJ fuelectenerg-3306 428 15 the the DET fuelectenerg-3306 428 16 order order NOUN fuelectenerg-3306 428 17 of of ADP fuelectenerg-3306 428 18 nonlinearity nonlinearity NOUN fuelectenerg-3306 428 19 . . PUNCT fuelectenerg-3306 429 1 we we PRON fuelectenerg-3306 429 2 call call VERB fuelectenerg-3306 429 3 it it PRON fuelectenerg-3306 429 4 the the DET fuelectenerg-3306 429 5 grid grid NOUN fuelectenerg-3306 429 6 subset subset NOUN fuelectenerg-3306 429 7 . . PUNCT fuelectenerg-3306 430 1 the the DET fuelectenerg-3306 430 2 main main ADJ fuelectenerg-3306 430 3 objective objective NOUN fuelectenerg-3306 430 4 is be AUX fuelectenerg-3306 430 5 to to PART fuelectenerg-3306 430 6 investigate investigate VERB fuelectenerg-3306 430 7 the the DET fuelectenerg-3306 430 8 number number NOUN fuelectenerg-3306 430 9 of of ADP fuelectenerg-3306 430 10 bent bent ADJ fuelectenerg-3306 430 11 functions function NOUN fuelectenerg-3306 430 12 in in ADP fuelectenerg-3306 430 13 each each PRON fuelectenerg-3306 430 14 of of ADP fuelectenerg-3306 430 15 these these DET fuelectenerg-3306 430 16 subsets subset NOUN fuelectenerg-3306 430 17 . . PUNCT fuelectenerg-3306 431 1 in in ADP fuelectenerg-3306 431 2 order order NOUN fuelectenerg-3306 431 3 to to PART fuelectenerg-3306 431 4 study study VERB fuelectenerg-3306 431 5 the the DET fuelectenerg-3306 431 6 proposed propose VERB fuelectenerg-3306 431 7 subsets subset NOUN fuelectenerg-3306 431 8 of of ADP fuelectenerg-3306 431 9 functions function NOUN fuelectenerg-3306 431 10 in in ADP fuelectenerg-3306 431 11 the the DET fuelectenerg-3306 431 12 spectral spectral ADJ fuelectenerg-3306 431 13 rm rm PROPN fuelectenerg-3306 431 14 domain domain NOUN fuelectenerg-3306 431 15 , , PUNCT fuelectenerg-3306 431 16 we we PRON fuelectenerg-3306 431 17 developed develop VERB fuelectenerg-3306 431 18 in in ADP fuelectenerg-3306 431 19 c++ c++ NOUN fuelectenerg-3306 431 20 three three NUM fuelectenerg-3306 431 21 independent independent ADJ fuelectenerg-3306 431 22 implementations implementation NOUN fuelectenerg-3306 431 23 of of ADP fuelectenerg-3306 431 24 the the DET fuelectenerg-3306 431 25 algorithms algorithm NOUN fuelectenerg-3306 431 26 for for ADP fuelectenerg-3306 431 27 vertical vertical ADJ fuelectenerg-3306 431 28 , , PUNCT fuelectenerg-3306 431 29 horizontal horizontal ADJ fuelectenerg-3306 431 30 , , PUNCT fuelectenerg-3306 431 31 and and CCONJ fuelectenerg-3306 431 32 grid grid NOUN fuelectenerg-3306 431 33 rm rm PROPN fuelectenerg-3306 431 34 subset subset NOUN fuelectenerg-3306 431 35 classifications classification NOUN fuelectenerg-3306 431 36 . . PUNCT fuelectenerg-3306 432 1 these these DET fuelectenerg-3306 432 2 implementations implementation NOUN fuelectenerg-3306 432 3 are be AUX fuelectenerg-3306 432 4 used use VERB fuelectenerg-3306 432 5 to to PART fuelectenerg-3306 432 6 investigate investigate VERB fuelectenerg-3306 432 7 considered consider VERB fuelectenerg-3306 432 8 subsets subset NOUN fuelectenerg-3306 432 9 of of ADP fuelectenerg-3306 432 10 bent bent ADJ fuelectenerg-3306 432 11 functions function NOUN fuelectenerg-3306 432 12 with with ADP fuelectenerg-3306 432 13 4 4 NUM fuelectenerg-3306 432 14 , , PUNCT fuelectenerg-3306 432 15 6 6 NUM fuelectenerg-3306 432 16 , , PUNCT fuelectenerg-3306 432 17 and and CCONJ fuelectenerg-3306 432 18 8 8 NUM fuelectenerg-3306 432 19 variables variable NOUN fuelectenerg-3306 432 20 . . PUNCT fuelectenerg-3306 433 1 3.1 3.1 NUM fuelectenerg-3306 433 2 vertical vertical NOUN fuelectenerg-3306 433 3 subset subset NOUN fuelectenerg-3306 433 4 since since SCONJ fuelectenerg-3306 433 5 the the DET fuelectenerg-3306 433 6 order order NOUN fuelectenerg-3306 433 7 of of ADP fuelectenerg-3306 433 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 433 9 of of ADP fuelectenerg-3306 433 10 n n CCONJ fuelectenerg-3306 433 11 - - PUNCT fuelectenerg-3306 433 12 variable variable ADJ fuelectenerg-3306 433 13 bent bent NOUN fuelectenerg-3306 433 14 functions function NOUN fuelectenerg-3306 433 15 is be AUX fuelectenerg-3306 433 16 less less ADV fuelectenerg-3306 433 17 or or CCONJ fuelectenerg-3306 433 18 equal equal ADJ fuelectenerg-3306 433 19 to to ADP fuelectenerg-3306 433 20 n/2 n/2 NUM fuelectenerg-3306 433 21 , , PUNCT fuelectenerg-3306 433 22 in in ADP fuelectenerg-3306 433 23 their their PRON fuelectenerg-3306 433 24 rm rm NOUN fuelectenerg-3306 433 25 - - PUNCT fuelectenerg-3306 433 26 spectra spectra PROPN fuelectenerg-3306 433 27 there there PRON fuelectenerg-3306 433 28 can can AUX fuelectenerg-3306 433 29 not not PART fuelectenerg-3306 433 30 be be AUX fuelectenerg-3306 433 31 non non ADJ fuelectenerg-3306 433 32 - - ADJ fuelectenerg-3306 433 33 zero zero NUM fuelectenerg-3306 433 34 rm rm NOUN fuelectenerg-3306 433 35 - - PUNCT fuelectenerg-3306 433 36 coefficients coefficient NOUN fuelectenerg-3306 433 37 assigned assign VERB fuelectenerg-3306 433 38 to to ADP fuelectenerg-3306 433 39 product product NOUN fuelectenerg-3306 433 40 terms term NOUN fuelectenerg-3306 433 41 with with ADP fuelectenerg-3306 433 42 more more ADJ fuelectenerg-3306 433 43 than than ADP fuelectenerg-3306 433 44 n/2 n/2 NOUN fuelectenerg-3306 433 45 variables variable NOUN fuelectenerg-3306 433 46 . . PUNCT fuelectenerg-3306 434 1 the the DET fuelectenerg-3306 434 2 values value NOUN fuelectenerg-3306 434 3 of of ADP fuelectenerg-3306 434 4 coefficients coefficient NOUN fuelectenerg-3306 434 5 of of ADP fuelectenerg-3306 434 6 larger large ADJ fuelectenerg-3306 434 7 order order NOUN fuelectenerg-3306 434 8 are be AUX fuelectenerg-3306 434 9 0 0 NUM fuelectenerg-3306 434 10 . . PUNCT fuelectenerg-3306 435 1 therefore therefore ADV fuelectenerg-3306 435 2 , , PUNCT fuelectenerg-3306 435 3 the the DET fuelectenerg-3306 435 4 number number NOUN fuelectenerg-3306 435 5 of of ADP fuelectenerg-3306 435 6 possible possible ADJ fuelectenerg-3306 435 7 non non ADJ fuelectenerg-3306 435 8 - - ADJ fuelectenerg-3306 435 9 zero zero NUM fuelectenerg-3306 435 10 coefficients coefficient NOUN fuelectenerg-3306 435 11 is be AUX fuelectenerg-3306 435 12 smaller small ADJ fuelectenerg-3306 435 13 than than ADP fuelectenerg-3306 435 14 2n 2n NUM fuelectenerg-3306 435 15 . . PUNCT fuelectenerg-3306 436 1 functions function NOUN fuelectenerg-3306 436 2 that that PRON fuelectenerg-3306 436 3 do do AUX fuelectenerg-3306 436 4 not not PART fuelectenerg-3306 436 5 satisfy satisfy VERB fuelectenerg-3306 436 6 this this DET fuelectenerg-3306 436 7 requirement requirement NOUN fuelectenerg-3306 436 8 can can AUX fuelectenerg-3306 436 9 be be AUX fuelectenerg-3306 436 10 eliminated eliminate VERB fuelectenerg-3306 436 11 from from ADP fuelectenerg-3306 436 12 checking check VERB fuelectenerg-3306 436 13 for for ADP fuelectenerg-3306 436 14 bentness bentness NOUN fuelectenerg-3306 436 15 . . PUNCT fuelectenerg-3306 437 1 in in ADP fuelectenerg-3306 437 2 this this DET fuelectenerg-3306 437 3 way way NOUN fuelectenerg-3306 437 4 , , PUNCT fuelectenerg-3306 437 5 the the DET fuelectenerg-3306 437 6 search search NOUN fuelectenerg-3306 437 7 space space NOUN fuelectenerg-3306 437 8 for for ADP fuelectenerg-3306 437 9 bent bent ADJ fuelectenerg-3306 437 10 functions function NOUN fuelectenerg-3306 437 11 is be AUX fuelectenerg-3306 437 12 considerably considerably ADV fuelectenerg-3306 437 13 reduced reduce VERB fuelectenerg-3306 437 14 which which PRON fuelectenerg-3306 437 15 permits permit VERB fuelectenerg-3306 437 16 for for ADP fuelectenerg-3306 437 17 finding find VERB fuelectenerg-3306 437 18 bent bent ADJ fuelectenerg-3306 437 19 functions function NOUN fuelectenerg-3306 437 20 in in ADP fuelectenerg-3306 437 21 a a DET fuelectenerg-3306 437 22 reasonably reasonably ADV fuelectenerg-3306 437 23 short short ADJ fuelectenerg-3306 437 24 time time NOUN fuelectenerg-3306 437 25 . . PUNCT fuelectenerg-3306 438 1 since since SCONJ fuelectenerg-3306 438 2 the the DET fuelectenerg-3306 438 3 rm rm NOUN fuelectenerg-3306 438 4 - - PUNCT fuelectenerg-3306 438 5 expression expression NOUN fuelectenerg-3306 438 6 for for ADP fuelectenerg-3306 438 7 a a DET fuelectenerg-3306 438 8 bent bent ADJ fuelectenerg-3306 438 9 function function NOUN fuelectenerg-3306 438 10 can can AUX fuelectenerg-3306 438 11 not not PART fuelectenerg-3306 438 12 contain contain VERB fuelectenerg-3306 438 13 product product NOUN fuelectenerg-3306 438 14 terms term NOUN fuelectenerg-3306 438 15 with with ADP fuelectenerg-3306 438 16 more more ADJ fuelectenerg-3306 438 17 than than ADP fuelectenerg-3306 438 18 n/2 n/2 NOUN fuelectenerg-3306 438 19 variables variable NOUN fuelectenerg-3306 438 20 , , PUNCT fuelectenerg-3306 438 21 the the DET fuelectenerg-3306 438 22 maximal maximal ADJ fuelectenerg-3306 438 23 number number NOUN fuelectenerg-3306 438 24 of of ADP fuelectenerg-3306 438 25 non non ADJ fuelectenerg-3306 438 26 - - ADJ fuelectenerg-3306 438 27 zero zero NUM fuelectenerg-3306 438 28 coefficients coefficient NOUN fuelectenerg-3306 438 29 of of ADP fuelectenerg-3306 438 30 k k NOUN fuelectenerg-3306 438 31 - - PUNCT fuelectenerg-3306 438 32 th th VERB fuelectenerg-3306 438 33 order order NOUN fuelectenerg-3306 438 34 is be AUX fuelectenerg-3306 438 35 ( ( PUNCT fuelectenerg-3306 438 36 n n X fuelectenerg-3306 438 37 k k PROPN fuelectenerg-3306 438 38 ) ) PUNCT fuelectenerg-3306 438 39 , , PUNCT fuelectenerg-3306 438 40 k k X fuelectenerg-3306 438 41 = = SYM fuelectenerg-3306 438 42 0 0 NUM fuelectenerg-3306 438 43 , , PUNCT fuelectenerg-3306 438 44 1 1 NUM fuelectenerg-3306 438 45 , , PUNCT fuelectenerg-3306 438 46 . . PUNCT fuelectenerg-3306 438 47 . . PUNCT fuelectenerg-3306 439 1 . . PUNCT fuelectenerg-3306 440 1 , , PUNCT fuelectenerg-3306 440 2 n/2 n/2 PROPN fuelectenerg-3306 440 3 . . PUNCT fuelectenerg-3306 441 1 therefore therefore ADV fuelectenerg-3306 441 2 , , PUNCT fuelectenerg-3306 441 3 the the DET fuelectenerg-3306 441 4 total total ADJ fuelectenerg-3306 441 5 number number NOUN fuelectenerg-3306 441 6 of of ADP fuelectenerg-3306 441 7 non non ADJ fuelectenerg-3306 441 8 - - ADJ fuelectenerg-3306 441 9 zero zero NUM fuelectenerg-3306 441 10 coefficients coefficient NOUN fuelectenerg-3306 441 11 in in ADP fuelectenerg-3306 441 12 the the DET fuelectenerg-3306 441 13 rm rm NOUN fuelectenerg-3306 441 14 spectrum spectrum NOUN fuelectenerg-3306 441 15 of of ADP fuelectenerg-3306 441 16 bent bent ADJ fuelectenerg-3306 441 17 functions function NOUN fuelectenerg-3306 441 18 is be AUX fuelectenerg-3306 441 19 : : PUNCT fuelectenerg-3306 441 20 ( ( PUNCT fuelectenerg-3306 441 21 n n X fuelectenerg-3306 441 22 0 0 NUM fuelectenerg-3306 441 23 ) ) PUNCT fuelectenerg-3306 442 1 + + CCONJ fuelectenerg-3306 442 2 ( ( PUNCT fuelectenerg-3306 442 3 n n ADV fuelectenerg-3306 442 4 1 1 NUM fuelectenerg-3306 442 5 ) ) PUNCT fuelectenerg-3306 442 6 + + CCONJ fuelectenerg-3306 442 7 . . PUNCT fuelectenerg-3306 442 8 . . PUNCT fuelectenerg-3306 443 1 .+ .+ NOUN fuelectenerg-3306 443 2 ( ( PUNCT fuelectenerg-3306 443 3 n n CCONJ fuelectenerg-3306 443 4 n/2 n/2 X fuelectenerg-3306 443 5 ) ) PUNCT fuelectenerg-3306 443 6 = = PUNCT fuelectenerg-3306 444 1 2n−1 2n−1 NUM fuelectenerg-3306 445 1 + + CCONJ fuelectenerg-3306 445 2 1 1 NUM fuelectenerg-3306 445 3 2 2 NUM fuelectenerg-3306 445 4 ( ( PUNCT fuelectenerg-3306 445 5 n n NOUN fuelectenerg-3306 445 6 n n PRON fuelectenerg-3306 445 7 2 2 NUM fuelectenerg-3306 445 8 ) ) PUNCT fuelectenerg-3306 445 9 . . PUNCT fuelectenerg-3306 446 1 vertical vertical ADJ fuelectenerg-3306 446 2 ( ( PUNCT fuelectenerg-3306 446 3 v v NOUN fuelectenerg-3306 446 4 ) ) PUNCT fuelectenerg-3306 446 5 subset subset VERB fuelectenerg-3306 446 6 consists consist NOUN fuelectenerg-3306 446 7 of of ADP fuelectenerg-3306 446 8 n n CCONJ fuelectenerg-3306 446 9 - - PUNCT fuelectenerg-3306 446 10 variable variable ADJ fuelectenerg-3306 446 11 boolean boolean ADJ fuelectenerg-3306 446 12 functions function NOUN fuelectenerg-3306 446 13 with with ADP fuelectenerg-3306 446 14 no no PRON fuelectenerg-3306 446 15 more more ADJ fuelectenerg-3306 446 16 than than ADP fuelectenerg-3306 446 17 2n−1 2n−1 NUM fuelectenerg-3306 446 18 + + CCONJ fuelectenerg-3306 446 19 1 1 NUM fuelectenerg-3306 446 20 2 2 NUM fuelectenerg-3306 446 21 ( ( PUNCT fuelectenerg-3306 446 22 n n NOUN fuelectenerg-3306 446 23 n n PRON fuelectenerg-3306 446 24 2 2 NUM fuelectenerg-3306 446 25 ) ) PUNCT fuelectenerg-3306 446 26 rm rm NOUN fuelectenerg-3306 446 27 - - PUNCT fuelectenerg-3306 446 28 coefficients coefficient NOUN fuelectenerg-3306 446 29 . . PUNCT fuelectenerg-3306 447 1 definition definition NOUN fuelectenerg-3306 447 2 5 5 NUM fuelectenerg-3306 447 3 a a DET fuelectenerg-3306 447 4 bent bent ADJ fuelectenerg-3306 447 5 function function NOUN fuelectenerg-3306 447 6 belongs belong VERB fuelectenerg-3306 447 7 to to ADP fuelectenerg-3306 447 8 the the DET fuelectenerg-3306 447 9 vertical vertical ADJ fuelectenerg-3306 447 10 k k NOUN fuelectenerg-3306 447 11 - - PUNCT fuelectenerg-3306 447 12 subset subset ADJ fuelectenerg-3306 447 13 v v NOUN fuelectenerg-3306 447 14 ( ( PUNCT fuelectenerg-3306 447 15 k k NOUN fuelectenerg-3306 447 16 ) ) PUNCT fuelectenerg-3306 447 17 iff iff NOUN fuelectenerg-3306 447 18 it it PRON fuelectenerg-3306 447 19 has have VERB fuelectenerg-3306 447 20 k k PROPN fuelectenerg-3306 447 21 non non ADJ fuelectenerg-3306 447 22 - - ADJ fuelectenerg-3306 447 23 zero zero NUM fuelectenerg-3306 447 24 rm rm NOUN fuelectenerg-3306 447 25 - - PUNCT fuelectenerg-3306 447 26 coefficients coefficient NOUN fuelectenerg-3306 447 27 . . PUNCT fuelectenerg-3306 448 1 clearly clearly ADV fuelectenerg-3306 448 2 , , PUNCT fuelectenerg-3306 448 3 the the DET fuelectenerg-3306 448 4 number number NOUN fuelectenerg-3306 448 5 of of ADP fuelectenerg-3306 448 6 possible possible ADJ fuelectenerg-3306 448 7 v v NOUN fuelectenerg-3306 448 8 subsets subset NOUN fuelectenerg-3306 448 9 depends depend VERB fuelectenerg-3306 448 10 of of ADP fuelectenerg-3306 448 11 the the DET fuelectenerg-3306 448 12 number number NOUN fuelectenerg-3306 448 13 of of ADP fuelectenerg-3306 448 14 variables variable NOUN fuelectenerg-3306 448 15 . . PUNCT fuelectenerg-3306 449 1 example example NOUN fuelectenerg-3306 449 2 2 2 NUM fuelectenerg-3306 449 3 the the DET fuelectenerg-3306 449 4 maximal maximal ADJ fuelectenerg-3306 449 5 number number NOUN fuelectenerg-3306 449 6 of of ADP fuelectenerg-3306 449 7 non non ADJ fuelectenerg-3306 449 8 - - ADJ fuelectenerg-3306 449 9 zero zero ADJ fuelectenerg-3306 449 10 spectral spectral ADJ fuelectenerg-3306 449 11 rm rm PROPN fuelectenerg-3306 449 12 coefficients coefficient NOUN fuelectenerg-3306 449 13 of of ADP fuelectenerg-3306 449 14 bent bent ADJ fuelectenerg-3306 449 15 functions function NOUN fuelectenerg-3306 449 16 with with ADP fuelectenerg-3306 449 17 4 4 NUM fuelectenerg-3306 449 18 variables variable NOUN fuelectenerg-3306 449 19 is be AUX fuelectenerg-3306 449 20 11 11 NUM fuelectenerg-3306 449 21 out out ADP fuelectenerg-3306 449 22 of of ADP fuelectenerg-3306 449 23 16 16 NUM fuelectenerg-3306 449 24 coefficients coefficient NOUN fuelectenerg-3306 449 25 . . PUNCT fuelectenerg-3306 450 1 hence hence ADV fuelectenerg-3306 450 2 , , PUNCT fuelectenerg-3306 450 3 there there PRON fuelectenerg-3306 450 4 are be VERB fuelectenerg-3306 450 5 212 212 NUM fuelectenerg-3306 450 6 m. m. NOUN fuelectenerg-3306 450 7 radmanović radmanović NOUN fuelectenerg-3306 450 8 , , PUNCT fuelectenerg-3306 450 9 r. r. PROPN fuelectenerg-3306 450 10 s. s. PROPN fuelectenerg-3306 450 11 stanković stanković PROPN fuelectenerg-3306 450 12 construction construction NOUN fuelectenerg-3306 450 13 of of ADP fuelectenerg-3306 450 14 subsets subset NOUN fuelectenerg-3306 450 15 of of ADP fuelectenerg-3306 450 16 bent bent ADJ fuelectenerg-3306 450 17 functions function NOUN fuelectenerg-3306 450 18 satisfying satisfy VERB fuelectenerg-3306 450 19 restrictions restriction NOUN fuelectenerg-3306 450 20 ... ... PUNCT fuelectenerg-3306 450 21 213 213 NUM fuelectenerg-3306 450 22 6 6 NUM fuelectenerg-3306 450 23 m. m. NOUN fuelectenerg-3306 450 24 radmanović radmanović PROPN fuelectenerg-3306 450 25 and and CCONJ fuelectenerg-3306 450 26 r. r. PROPN fuelectenerg-3306 450 27 stanković stanković PROPN fuelectenerg-3306 450 28 example example NOUN fuelectenerg-3306 451 1 1 1 NUM fuelectenerg-3306 451 2 consider consider VERB fuelectenerg-3306 451 3 for for ADP fuelectenerg-3306 451 4 a a DET fuelectenerg-3306 451 5 bent bent ADJ fuelectenerg-3306 451 6 function function NOUN fuelectenerg-3306 451 7 of of ADP fuelectenerg-3306 451 8 four four NUM fuelectenerg-3306 451 9 variables variable NOUN fuelectenerg-3306 451 10 f(x1 f(x1 ADJ fuelectenerg-3306 451 11 , , PUNCT fuelectenerg-3306 451 12 x2 x2 PROPN fuelectenerg-3306 451 13 , , PUNCT fuelectenerg-3306 451 14 x3 x3 ADJ fuelectenerg-3306 451 15 , , PUNCT fuelectenerg-3306 451 16 x4 x4 PROPN fuelectenerg-3306 451 17 ) ) PUNCT fuelectenerg-3306 451 18 = = SYM fuelectenerg-3306 451 19 x1x2 x1x2 PROPN fuelectenerg-3306 451 20 ⊕ ⊕ PROPN fuelectenerg-3306 451 21 x3x4 x3x4 ADP fuelectenerg-3306 451 22 , , PUNCT fuelectenerg-3306 451 23 given give VERB fuelectenerg-3306 451 24 by by ADP fuelectenerg-3306 451 25 f f PROPN fuelectenerg-3306 451 26 = = PUNCT fuelectenerg-3306 452 1 [ [ X fuelectenerg-3306 452 2 0 0 NUM fuelectenerg-3306 452 3 , , PUNCT fuelectenerg-3306 452 4 0 0 NUM fuelectenerg-3306 452 5 , , PUNCT fuelectenerg-3306 452 6 0 0 NUM fuelectenerg-3306 452 7 , , PUNCT fuelectenerg-3306 452 8 1 1 NUM fuelectenerg-3306 452 9 , , PUNCT fuelectenerg-3306 452 10 0 0 NUM fuelectenerg-3306 452 11 , , PUNCT fuelectenerg-3306 452 12 0 0 NUM fuelectenerg-3306 452 13 , , PUNCT fuelectenerg-3306 452 14 0 0 NUM fuelectenerg-3306 452 15 , , PUNCT fuelectenerg-3306 452 16 1 1 NUM fuelectenerg-3306 452 17 , , PUNCT fuelectenerg-3306 452 18 0 0 NUM fuelectenerg-3306 452 19 , , PUNCT fuelectenerg-3306 452 20 0 0 NUM fuelectenerg-3306 452 21 , , PUNCT fuelectenerg-3306 452 22 0 0 NUM fuelectenerg-3306 452 23 , , PUNCT fuelectenerg-3306 452 24 1 1 NUM fuelectenerg-3306 452 25 , , PUNCT fuelectenerg-3306 452 26 1 1 NUM fuelectenerg-3306 452 27 , , PUNCT fuelectenerg-3306 452 28 1 1 NUM fuelectenerg-3306 452 29 , , PUNCT fuelectenerg-3306 452 30 1 1 NUM fuelectenerg-3306 452 31 , , PUNCT fuelectenerg-3306 452 32 0]t 0]t NUM fuelectenerg-3306 452 33 . . PUNCT fuelectenerg-3306 453 1 the the DET fuelectenerg-3306 453 2 rm rm PROPN fuelectenerg-3306 453 3 spectrum spectrum NOUN fuelectenerg-3306 453 4 is be AUX fuelectenerg-3306 453 5 sf sf INTJ fuelectenerg-3306 453 6 = = PUNCT fuelectenerg-3306 454 1 [ [ X fuelectenerg-3306 454 2 0 0 NUM fuelectenerg-3306 454 3 , , PUNCT fuelectenerg-3306 454 4 0 0 NUM fuelectenerg-3306 454 5 , , PUNCT fuelectenerg-3306 454 6 0 0 NUM fuelectenerg-3306 454 7 , , PUNCT fuelectenerg-3306 454 8 1 1 NUM fuelectenerg-3306 454 9 , , PUNCT fuelectenerg-3306 454 10 0 0 NUM fuelectenerg-3306 454 11 , , PUNCT fuelectenerg-3306 454 12 0 0 NUM fuelectenerg-3306 454 13 , , PUNCT fuelectenerg-3306 454 14 0 0 NUM fuelectenerg-3306 454 15 , , PUNCT fuelectenerg-3306 454 16 0 0 NUM fuelectenerg-3306 454 17 , , PUNCT fuelectenerg-3306 454 18 0 0 NUM fuelectenerg-3306 454 19 , , PUNCT fuelectenerg-3306 454 20 0 0 NUM fuelectenerg-3306 454 21 , , PUNCT fuelectenerg-3306 454 22 0 0 NUM fuelectenerg-3306 454 23 , , PUNCT fuelectenerg-3306 454 24 0 0 NUM fuelectenerg-3306 454 25 , , PUNCT fuelectenerg-3306 454 26 1 1 NUM fuelectenerg-3306 454 27 , , PUNCT fuelectenerg-3306 454 28 0 0 NUM fuelectenerg-3306 454 29 , , PUNCT fuelectenerg-3306 454 30 0 0 NUM fuelectenerg-3306 454 31 , , PUNCT fuelectenerg-3306 454 32 0]t 0]t NUM fuelectenerg-3306 454 33 , , PUNCT fuelectenerg-3306 454 34 from from ADP fuelectenerg-3306 454 35 where where SCONJ fuelectenerg-3306 454 36 the the DET fuelectenerg-3306 454 37 number number NOUN fuelectenerg-3306 454 38 of of ADP fuelectenerg-3306 454 39 non non ADJ fuelectenerg-3306 454 40 - - ADJ fuelectenerg-3306 454 41 zero zero NUM fuelectenerg-3306 454 42 rm rm NOUN fuelectenerg-3306 454 43 coefficients coefficient NOUN fuelectenerg-3306 454 44 is be AUX fuelectenerg-3306 454 45 2 2 NUM fuelectenerg-3306 454 46 and and CCONJ fuelectenerg-3306 454 47 algebraic algebraic ADJ fuelectenerg-3306 454 48 degree degree NOUN fuelectenerg-3306 454 49 is be AUX fuelectenerg-3306 454 50 2 2 NUM fuelectenerg-3306 454 51 ≤ ≤ NUM fuelectenerg-3306 454 52 4/2 4/2 NUM fuelectenerg-3306 454 53 . . PUNCT fuelectenerg-3306 455 1 the the DET fuelectenerg-3306 455 2 walsh walsh PROPN fuelectenerg-3306 455 3 spectrum spectrum VERB fuelectenerg-3306 455 4 with with ADP fuelectenerg-3306 455 5 ( ( PUNCT fuelectenerg-3306 455 6 1,−1 1,−1 X fuelectenerg-3306 455 7 ) ) PUNCT fuelectenerg-3306 455 8 encoding encoding NOUN fuelectenerg-3306 455 9 is be AUX fuelectenerg-3306 455 10 sf sf NOUN fuelectenerg-3306 455 11 , , PUNCT fuelectenerg-3306 455 12 w w NOUN fuelectenerg-3306 456 1 = = PUNCT fuelectenerg-3306 457 1 [ [ X fuelectenerg-3306 457 2 4 4 NUM fuelectenerg-3306 457 3 , , PUNCT fuelectenerg-3306 457 4 4 4 NUM fuelectenerg-3306 457 5 , , PUNCT fuelectenerg-3306 457 6 4,−4 4,−4 PROPN fuelectenerg-3306 457 7 , , PUNCT fuelectenerg-3306 457 8 4 4 NUM fuelectenerg-3306 457 9 , , PUNCT fuelectenerg-3306 457 10 4 4 NUM fuelectenerg-3306 457 11 , , PUNCT fuelectenerg-3306 457 12 4,−4 4,−4 PROPN fuelectenerg-3306 457 13 , , PUNCT fuelectenerg-3306 457 14 4 4 NUM fuelectenerg-3306 457 15 , , PUNCT fuelectenerg-3306 457 16 4 4 NUM fuelectenerg-3306 457 17 , , PUNCT fuelectenerg-3306 457 18 4,−4,−4,−4,−4 4,−4,−4,−4,−4 NUM fuelectenerg-3306 457 19 , , PUNCT fuelectenerg-3306 457 20 4]t 4]t NOUN fuelectenerg-3306 457 21 , , PUNCT fuelectenerg-3306 457 22 where where SCONJ fuelectenerg-3306 457 23 all all DET fuelectenerg-3306 457 24 coefficients coefficient NOUN fuelectenerg-3306 457 25 have have VERB fuelectenerg-3306 457 26 the the DET fuelectenerg-3306 457 27 same same ADJ fuelectenerg-3306 457 28 absolute absolute ADJ fuelectenerg-3306 457 29 value value NOUN fuelectenerg-3306 457 30 22 22 NUM fuelectenerg-3306 457 31 = = SYM fuelectenerg-3306 457 32 4 4 NUM fuelectenerg-3306 457 33 . . NOUN fuelectenerg-3306 457 34 2.4 2.4 NUM fuelectenerg-3306 457 35 construction construction NOUN fuelectenerg-3306 457 36 of of ADP fuelectenerg-3306 457 37 bent bent ADJ fuelectenerg-3306 457 38 functions function NOUN fuelectenerg-3306 457 39 finding find VERB fuelectenerg-3306 457 40 the the DET fuelectenerg-3306 457 41 complete complete ADJ fuelectenerg-3306 457 42 set set NOUN fuelectenerg-3306 457 43 of of ADP fuelectenerg-3306 457 44 bent bent ADJ fuelectenerg-3306 457 45 functions function NOUN fuelectenerg-3306 457 46 for for ADP fuelectenerg-3306 457 47 a a DET fuelectenerg-3306 457 48 given give VERB fuelectenerg-3306 457 49 number number NOUN fuelectenerg-3306 457 50 of of ADP fuelectenerg-3306 457 51 inputs input NOUN fuelectenerg-3306 457 52 is be AUX fuelectenerg-3306 457 53 an an DET fuelectenerg-3306 457 54 open open ADJ fuelectenerg-3306 457 55 problem problem NOUN fuelectenerg-3306 457 56 . . PUNCT fuelectenerg-3306 458 1 there there PRON fuelectenerg-3306 458 2 are be VERB fuelectenerg-3306 458 3 no no DET fuelectenerg-3306 458 4 formal formal ADJ fuelectenerg-3306 458 5 methods method NOUN fuelectenerg-3306 458 6 for for ADP fuelectenerg-3306 458 7 generalization generalization NOUN fuelectenerg-3306 458 8 , , PUNCT fuelectenerg-3306 458 9 construction construction NOUN fuelectenerg-3306 458 10 , , PUNCT fuelectenerg-3306 458 11 or or CCONJ fuelectenerg-3306 458 12 classification classification NOUN fuelectenerg-3306 458 13 of of ADP fuelectenerg-3306 458 14 all all DET fuelectenerg-3306 458 15 bent bent ADJ fuelectenerg-3306 458 16 functions function NOUN fuelectenerg-3306 458 17 for for ADP fuelectenerg-3306 458 18 a a DET fuelectenerg-3306 458 19 given give VERB fuelectenerg-3306 458 20 number number NOUN fuelectenerg-3306 458 21 of of ADP fuelectenerg-3306 458 22 inputs input NOUN fuelectenerg-3306 458 23 . . PUNCT fuelectenerg-3306 459 1 thus thus ADV fuelectenerg-3306 459 2 , , PUNCT fuelectenerg-3306 459 3 it it PRON fuelectenerg-3306 459 4 has have AUX fuelectenerg-3306 459 5 been be AUX fuelectenerg-3306 459 6 developed develop VERB fuelectenerg-3306 459 7 a a DET fuelectenerg-3306 459 8 variety variety NOUN fuelectenerg-3306 459 9 of of ADP fuelectenerg-3306 459 10 approaches approach NOUN fuelectenerg-3306 459 11 for for ADP fuelectenerg-3306 459 12 construction construction NOUN fuelectenerg-3306 459 13 and and CCONJ fuelectenerg-3306 459 14 classification classification NOUN fuelectenerg-3306 459 15 of of ADP fuelectenerg-3306 459 16 bent bent ADJ fuelectenerg-3306 459 17 functions function NOUN fuelectenerg-3306 459 18 with with ADP fuelectenerg-3306 459 19 particular particular ADJ fuelectenerg-3306 459 20 properties property NOUN fuelectenerg-3306 459 21 [ [ X fuelectenerg-3306 459 22 2 2 NUM fuelectenerg-3306 459 23 ] ] PUNCT fuelectenerg-3306 459 24 . . PUNCT fuelectenerg-3306 460 1 however however ADV fuelectenerg-3306 460 2 , , PUNCT fuelectenerg-3306 460 3 bent bent ADJ fuelectenerg-3306 460 4 functions function NOUN fuelectenerg-3306 460 5 that that PRON fuelectenerg-3306 460 6 have have VERB fuelectenerg-3306 460 7 some some DET fuelectenerg-3306 460 8 predefined predefine VERB fuelectenerg-3306 460 9 specific specific ADJ fuelectenerg-3306 460 10 properties property NOUN fuelectenerg-3306 460 11 are be AUX fuelectenerg-3306 460 12 very very ADV fuelectenerg-3306 460 13 rare rare ADJ fuelectenerg-3306 460 14 and and CCONJ fuelectenerg-3306 460 15 they they PRON fuelectenerg-3306 460 16 constitute constitute VERB fuelectenerg-3306 460 17 a a DET fuelectenerg-3306 460 18 rather rather ADV fuelectenerg-3306 460 19 small small ADJ fuelectenerg-3306 460 20 subset subset NOUN fuelectenerg-3306 460 21 of of ADP fuelectenerg-3306 460 22 the the DET fuelectenerg-3306 460 23 total total NOUN fuelectenerg-3306 460 24 of of ADP fuelectenerg-3306 460 25 all all DET fuelectenerg-3306 460 26 bent bent ADJ fuelectenerg-3306 460 27 functions function NOUN fuelectenerg-3306 460 28 . . PUNCT fuelectenerg-3306 461 1 therefore therefore ADV fuelectenerg-3306 461 2 , , PUNCT fuelectenerg-3306 461 3 it it PRON fuelectenerg-3306 461 4 is be AUX fuelectenerg-3306 461 5 important important ADJ fuelectenerg-3306 461 6 to to PART fuelectenerg-3306 461 7 define define VERB fuelectenerg-3306 461 8 different different ADJ fuelectenerg-3306 461 9 approaches approach NOUN fuelectenerg-3306 461 10 for for ADP fuelectenerg-3306 461 11 determination determination NOUN fuelectenerg-3306 461 12 of of ADP fuelectenerg-3306 461 13 bent bent ADJ fuelectenerg-3306 461 14 functions function NOUN fuelectenerg-3306 461 15 . . PUNCT fuelectenerg-3306 462 1 different different ADJ fuelectenerg-3306 462 2 classes class NOUN fuelectenerg-3306 462 3 of of ADP fuelectenerg-3306 462 4 bent bent ADJ fuelectenerg-3306 462 5 functions function NOUN fuelectenerg-3306 462 6 are be AUX fuelectenerg-3306 462 7 focused focus VERB fuelectenerg-3306 462 8 on on ADP fuelectenerg-3306 462 9 bent bent ADJ fuelectenerg-3306 462 10 functions function NOUN fuelectenerg-3306 462 11 satisfying satisfy VERB fuelectenerg-3306 462 12 certain certain ADJ fuelectenerg-3306 462 13 additional additional ADJ fuelectenerg-3306 462 14 conditions condition NOUN fuelectenerg-3306 462 15 . . PUNCT fuelectenerg-3306 463 1 for for ADP fuelectenerg-3306 463 2 example example NOUN fuelectenerg-3306 463 3 , , PUNCT fuelectenerg-3306 463 4 quadratic quadratic ADJ fuelectenerg-3306 463 5 bent bent ADJ fuelectenerg-3306 463 6 functions function NOUN fuelectenerg-3306 463 7 have have VERB fuelectenerg-3306 463 8 an an DET fuelectenerg-3306 463 9 important important ADJ fuelectenerg-3306 463 10 place place NOUN fuelectenerg-3306 463 11 in in ADP fuelectenerg-3306 463 12 bent bent ADJ fuelectenerg-3306 463 13 function function NOUN fuelectenerg-3306 463 14 construction construction NOUN fuelectenerg-3306 463 15 . . PUNCT fuelectenerg-3306 464 1 all all DET fuelectenerg-3306 464 2 bent bent ADJ fuelectenerg-3306 464 3 functions function NOUN fuelectenerg-3306 464 4 from from ADP fuelectenerg-3306 464 5 this this DET fuelectenerg-3306 464 6 class class NOUN fuelectenerg-3306 464 7 are be AUX fuelectenerg-3306 464 8 known know VERB fuelectenerg-3306 464 9 and and CCONJ fuelectenerg-3306 464 10 they they PRON fuelectenerg-3306 464 11 can can AUX fuelectenerg-3306 464 12 be be AUX fuelectenerg-3306 464 13 obtained obtain VERB fuelectenerg-3306 464 14 by by ADP fuelectenerg-3306 464 15 applying apply VERB fuelectenerg-3306 464 16 the the DET fuelectenerg-3306 464 17 affine affine NOUN fuelectenerg-3306 464 18 transformations transformation NOUN fuelectenerg-3306 464 19 to to ADP fuelectenerg-3306 464 20 the the DET fuelectenerg-3306 464 21 variables variable NOUN fuelectenerg-3306 464 22 of of ADP fuelectenerg-3306 464 23 the the DET fuelectenerg-3306 464 24 function function NOUN fuelectenerg-3306 464 25 [ [ X fuelectenerg-3306 464 26 7 7 NUM fuelectenerg-3306 464 27 ] ] PUNCT fuelectenerg-3306 464 28 . . PUNCT fuelectenerg-3306 465 1 two two NUM fuelectenerg-3306 465 2 most most ADV fuelectenerg-3306 465 3 known know VERB fuelectenerg-3306 465 4 approaches approach NOUN fuelectenerg-3306 465 5 for for ADP fuelectenerg-3306 465 6 construction construction NOUN fuelectenerg-3306 465 7 classification classification NOUN fuelectenerg-3306 465 8 of of ADP fuelectenerg-3306 465 9 bent bent ADJ fuelectenerg-3306 465 10 functions function NOUN fuelectenerg-3306 465 11 are be AUX fuelectenerg-3306 465 12 based base VERB fuelectenerg-3306 465 13 on on ADP fuelectenerg-3306 465 14 a a DET fuelectenerg-3306 465 15 combinatorial combinatorial ADJ fuelectenerg-3306 465 16 construction construction NOUN fuelectenerg-3306 465 17 and and CCONJ fuelectenerg-3306 465 18 an an DET fuelectenerg-3306 465 19 algebraic algebraic ADJ fuelectenerg-3306 465 20 construction construction NOUN fuelectenerg-3306 465 21 of of ADP fuelectenerg-3306 465 22 functions function NOUN fuelectenerg-3306 465 23 [ [ X fuelectenerg-3306 465 24 2 2 NUM fuelectenerg-3306 465 25 ] ] PUNCT fuelectenerg-3306 465 26 . . PUNCT fuelectenerg-3306 466 1 the the DET fuelectenerg-3306 466 2 well well ADV fuelectenerg-3306 466 3 - - PUNCT fuelectenerg-3306 466 4 known know VERB fuelectenerg-3306 466 5 combinatorial combinatorial ADJ fuelectenerg-3306 466 6 constructions construction NOUN fuelectenerg-3306 466 7 are be AUX fuelectenerg-3306 466 8 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 466 9 [ [ X fuelectenerg-3306 466 10 8 8 NUM fuelectenerg-3306 466 11 ] ] PUNCT fuelectenerg-3306 466 12 , , PUNCT fuelectenerg-3306 466 13 partial partial ADJ fuelectenerg-3306 466 14 spreads spread VERB fuelectenerg-3306 466 15 [ [ PUNCT fuelectenerg-3306 466 16 9 9 NUM fuelectenerg-3306 466 17 ] ] PUNCT fuelectenerg-3306 466 18 , , PUNCT fuelectenerg-3306 466 19 dobbertin dobbertin ADJ fuelectenerg-3306 467 1 [ [ X fuelectenerg-3306 467 2 10 10 NUM fuelectenerg-3306 467 3 ] ] PUNCT fuelectenerg-3306 467 4 , , PUNCT fuelectenerg-3306 467 5 iterative iterative ADJ fuelectenerg-3306 467 6 constructions construction NOUN fuelectenerg-3306 468 1 [ [ X fuelectenerg-3306 468 2 11 11 NUM fuelectenerg-3306 468 3 ] ] PUNCT fuelectenerg-3306 468 4 , , PUNCT fuelectenerg-3306 468 5 minterm minterm NOUN fuelectenerg-3306 468 6 constructions construction NOUN fuelectenerg-3306 468 7 [ [ X fuelectenerg-3306 468 8 12 12 NUM fuelectenerg-3306 468 9 ] ] PUNCT fuelectenerg-3306 468 10 , , PUNCT fuelectenerg-3306 468 11 maiorana maiorana PROPN fuelectenerg-3306 468 12 - - PUNCT fuelectenerg-3306 468 13 mcfarland mcfarland PROPN fuelectenerg-3306 468 14 super super ADJ fuelectenerg-3306 468 15 class class NOUN fuelectenerg-3306 469 1 [ [ X fuelectenerg-3306 469 2 13 13 NUM fuelectenerg-3306 469 3 ] ] PUNCT fuelectenerg-3306 469 4 , , PUNCT fuelectenerg-3306 469 5 etc etc X fuelectenerg-3306 469 6 . . X fuelectenerg-3306 469 7 the the DET fuelectenerg-3306 469 8 most most ADV fuelectenerg-3306 469 9 widely widely ADV fuelectenerg-3306 469 10 known know VERB fuelectenerg-3306 469 11 algebraic algebraic ADJ fuelectenerg-3306 469 12 constructions construction NOUN fuelectenerg-3306 469 13 are be AUX fuelectenerg-3306 469 14 monomial monomial ADJ fuelectenerg-3306 469 15 bent bent ADJ fuelectenerg-3306 469 16 functions function NOUN fuelectenerg-3306 469 17 in in ADP fuelectenerg-3306 469 18 the the DET fuelectenerg-3306 469 19 kasami kasami NOUN fuelectenerg-3306 469 20 , , PUNCT fuelectenerg-3306 469 21 gold gold NOUN fuelectenerg-3306 469 22 , , PUNCT fuelectenerg-3306 469 23 dillon dillon PROPN fuelectenerg-3306 469 24 and and CCONJ fuelectenerg-3306 469 25 canteaut canteaut NOUN fuelectenerg-3306 469 26 - - PUNCT fuelectenerg-3306 469 27 leander leander NOUN fuelectenerg-3306 469 28 case case NOUN fuelectenerg-3306 469 29 [ [ X fuelectenerg-3306 469 30 14 14 NUM fuelectenerg-3306 469 31 ] ] PUNCT fuelectenerg-3306 469 32 , , PUNCT fuelectenerg-3306 469 33 hyper hyper ADJ fuelectenerg-3306 469 34 bent bent ADJ fuelectenerg-3306 469 35 functions function NOUN fuelectenerg-3306 469 36 [ [ X fuelectenerg-3306 469 37 15 15 NUM fuelectenerg-3306 469 38 ] ] PUNCT fuelectenerg-3306 469 39 , , PUNCT fuelectenerg-3306 469 40 niho niho ADJ fuelectenerg-3306 469 41 bent bent ADJ fuelectenerg-3306 469 42 functions function NOUN fuelectenerg-3306 469 43 [ [ X fuelectenerg-3306 469 44 16 16 NUM fuelectenerg-3306 469 45 ] ] PUNCT fuelectenerg-3306 469 46 , , PUNCT fuelectenerg-3306 469 47 etc etc X fuelectenerg-3306 469 48 . . X fuelectenerg-3306 469 49 3 3 NUM fuelectenerg-3306 469 50 subsets subset NOUN fuelectenerg-3306 469 51 of of ADP fuelectenerg-3306 469 52 bent bent ADJ fuelectenerg-3306 469 53 functions function NOUN fuelectenerg-3306 469 54 in in ADP fuelectenerg-3306 469 55 the the DET fuelectenerg-3306 469 56 rm rm NOUN fuelectenerg-3306 469 57 domain domain NOUN fuelectenerg-3306 469 58 in in ADP fuelectenerg-3306 469 59 this this DET fuelectenerg-3306 469 60 paper paper NOUN fuelectenerg-3306 469 61 , , PUNCT fuelectenerg-3306 469 62 we we PRON fuelectenerg-3306 469 63 propose propose VERB fuelectenerg-3306 469 64 to to PART fuelectenerg-3306 469 65 split split VERB fuelectenerg-3306 469 66 the the DET fuelectenerg-3306 469 67 set set NOUN fuelectenerg-3306 469 68 of of ADP fuelectenerg-3306 469 69 all all DET fuelectenerg-3306 469 70 boolean boolean ADJ fuelectenerg-3306 469 71 functions function NOUN fuelectenerg-3306 469 72 with with ADP fuelectenerg-3306 469 73 respect respect NOUN fuelectenerg-3306 469 74 to to ADP fuelectenerg-3306 469 75 three three NUM fuelectenerg-3306 469 76 different different ADJ fuelectenerg-3306 469 77 criteria criterion NOUN fuelectenerg-3306 469 78 related relate VERB fuelectenerg-3306 469 79 to to ADP fuelectenerg-3306 469 80 the the DET fuelectenerg-3306 469 81 properties property NOUN fuelectenerg-3306 469 82 of of ADP fuelectenerg-3306 469 83 rm rm PROPN fuelectenerg-3306 469 84 - - PUNCT fuelectenerg-3306 469 85 spectra spectra PROPN fuelectenerg-3306 469 86 of of ADP fuelectenerg-3306 469 87 bent bent ADJ fuelectenerg-3306 469 88 functions function NOUN fuelectenerg-3306 469 89 : : PUNCT fuelectenerg-3306 470 1 1 1 X fuelectenerg-3306 470 2 . . PUNCT fuelectenerg-3306 470 3 the the DET fuelectenerg-3306 470 4 number number NOUN fuelectenerg-3306 470 5 of of ADP fuelectenerg-3306 470 6 non non ADJ fuelectenerg-3306 470 7 - - ADJ fuelectenerg-3306 470 8 zero zero NUM fuelectenerg-3306 470 9 rm rm NOUN fuelectenerg-3306 470 10 - - PUNCT fuelectenerg-3306 470 11 coefficients coefficient NOUN fuelectenerg-3306 470 12 . . PUNCT fuelectenerg-3306 471 1 we we PRON fuelectenerg-3306 471 2 call call VERB fuelectenerg-3306 471 3 it it PRON fuelectenerg-3306 471 4 the the DET fuelectenerg-3306 471 5 vertical vertical ADJ fuelectenerg-3306 471 6 subset subset NOUN fuelectenerg-3306 471 7 . . PUNCT fuelectenerg-3306 472 1 2 2 X fuelectenerg-3306 472 2 . . X fuelectenerg-3306 472 3 the the DET fuelectenerg-3306 472 4 orders order NOUN fuelectenerg-3306 472 5 of of ADP fuelectenerg-3306 472 6 nonlinearity nonlinearity NOUN fuelectenerg-3306 472 7 defined define VERB fuelectenerg-3306 472 8 as as ADP fuelectenerg-3306 472 9 the the DET fuelectenerg-3306 472 10 maximum maximum ADJ fuelectenerg-3306 472 11 number number NOUN fuelectenerg-3306 472 12 of of ADP fuelectenerg-3306 472 13 variables variable NOUN fuelectenerg-3306 472 14 construction construction NOUN fuelectenerg-3306 472 15 of of ADP fuelectenerg-3306 472 16 subsets subset NOUN fuelectenerg-3306 472 17 of of ADP fuelectenerg-3306 472 18 bent bent ADJ fuelectenerg-3306 472 19 functions function NOUN fuelectenerg-3306 472 20 satisfying satisfy VERB fuelectenerg-3306 472 21 restrictions restriction NOUN fuelectenerg-3306 472 22 ... ... PUNCT fuelectenerg-3306 472 23 7 7 NUM fuelectenerg-3306 472 24 in in ADP fuelectenerg-3306 472 25 a a DET fuelectenerg-3306 472 26 product product NOUN fuelectenerg-3306 472 27 term term NOUN fuelectenerg-3306 472 28 corresponding correspond VERB fuelectenerg-3306 472 29 to to ADP fuelectenerg-3306 472 30 a a DET fuelectenerg-3306 472 31 non non ADJ fuelectenerg-3306 472 32 - - ADJ fuelectenerg-3306 472 33 zero zero NUM fuelectenerg-3306 472 34 rm rm NOUN fuelectenerg-3306 472 35 - - NOUN fuelectenerg-3306 472 36 coefficient coefficient NOUN fuelectenerg-3306 472 37 . . PUNCT fuelectenerg-3306 473 1 we we PRON fuelectenerg-3306 473 2 call call VERB fuelectenerg-3306 473 3 it it PRON fuelectenerg-3306 473 4 the the DET fuelectenerg-3306 473 5 horizontal horizontal ADJ fuelectenerg-3306 473 6 subset subset NOUN fuelectenerg-3306 473 7 . . PUNCT fuelectenerg-3306 474 1 3 3 X fuelectenerg-3306 474 2 . . X fuelectenerg-3306 474 3 both both PRON fuelectenerg-3306 474 4 , , PUNCT fuelectenerg-3306 474 5 the the DET fuelectenerg-3306 474 6 number number NOUN fuelectenerg-3306 474 7 of of ADP fuelectenerg-3306 474 8 non non ADJ fuelectenerg-3306 474 9 - - ADJ fuelectenerg-3306 474 10 zero zero NUM fuelectenerg-3306 474 11 rm rm NOUN fuelectenerg-3306 474 12 - - PUNCT fuelectenerg-3306 474 13 coefficients coefficient NOUN fuelectenerg-3306 474 14 and and CCONJ fuelectenerg-3306 474 15 the the DET fuelectenerg-3306 474 16 order order NOUN fuelectenerg-3306 474 17 of of ADP fuelectenerg-3306 474 18 nonlinearity nonlinearity NOUN fuelectenerg-3306 474 19 . . PUNCT fuelectenerg-3306 475 1 we we PRON fuelectenerg-3306 475 2 call call VERB fuelectenerg-3306 475 3 it it PRON fuelectenerg-3306 475 4 the the DET fuelectenerg-3306 475 5 grid grid NOUN fuelectenerg-3306 475 6 subset subset NOUN fuelectenerg-3306 475 7 . . PUNCT fuelectenerg-3306 476 1 the the DET fuelectenerg-3306 476 2 main main ADJ fuelectenerg-3306 476 3 objective objective NOUN fuelectenerg-3306 476 4 is be AUX fuelectenerg-3306 476 5 to to PART fuelectenerg-3306 476 6 investigate investigate VERB fuelectenerg-3306 476 7 the the DET fuelectenerg-3306 476 8 number number NOUN fuelectenerg-3306 476 9 of of ADP fuelectenerg-3306 476 10 bent bent ADJ fuelectenerg-3306 476 11 functions function NOUN fuelectenerg-3306 476 12 in in ADP fuelectenerg-3306 476 13 each each PRON fuelectenerg-3306 476 14 of of ADP fuelectenerg-3306 476 15 these these DET fuelectenerg-3306 476 16 subsets subset NOUN fuelectenerg-3306 476 17 . . PUNCT fuelectenerg-3306 477 1 in in ADP fuelectenerg-3306 477 2 order order NOUN fuelectenerg-3306 477 3 to to PART fuelectenerg-3306 477 4 study study VERB fuelectenerg-3306 477 5 the the DET fuelectenerg-3306 477 6 proposed propose VERB fuelectenerg-3306 477 7 subsets subset NOUN fuelectenerg-3306 477 8 of of ADP fuelectenerg-3306 477 9 functions function NOUN fuelectenerg-3306 477 10 in in ADP fuelectenerg-3306 477 11 the the DET fuelectenerg-3306 477 12 spectral spectral ADJ fuelectenerg-3306 477 13 rm rm PROPN fuelectenerg-3306 477 14 domain domain NOUN fuelectenerg-3306 477 15 , , PUNCT fuelectenerg-3306 477 16 we we PRON fuelectenerg-3306 477 17 developed develop VERB fuelectenerg-3306 477 18 in in ADP fuelectenerg-3306 477 19 c++ c++ NOUN fuelectenerg-3306 477 20 three three NUM fuelectenerg-3306 477 21 independent independent ADJ fuelectenerg-3306 477 22 implementations implementation NOUN fuelectenerg-3306 477 23 of of ADP fuelectenerg-3306 477 24 the the DET fuelectenerg-3306 477 25 algorithms algorithm NOUN fuelectenerg-3306 477 26 for for ADP fuelectenerg-3306 477 27 vertical vertical ADJ fuelectenerg-3306 477 28 , , PUNCT fuelectenerg-3306 477 29 horizontal horizontal ADJ fuelectenerg-3306 477 30 , , PUNCT fuelectenerg-3306 477 31 and and CCONJ fuelectenerg-3306 477 32 grid grid NOUN fuelectenerg-3306 477 33 rm rm PROPN fuelectenerg-3306 477 34 subset subset NOUN fuelectenerg-3306 477 35 classifications classification NOUN fuelectenerg-3306 477 36 . . PUNCT fuelectenerg-3306 478 1 these these DET fuelectenerg-3306 478 2 implementations implementation NOUN fuelectenerg-3306 478 3 are be AUX fuelectenerg-3306 478 4 used use VERB fuelectenerg-3306 478 5 to to PART fuelectenerg-3306 478 6 investigate investigate VERB fuelectenerg-3306 478 7 considered consider VERB fuelectenerg-3306 478 8 subsets subset NOUN fuelectenerg-3306 478 9 of of ADP fuelectenerg-3306 478 10 bent bent ADJ fuelectenerg-3306 478 11 functions function NOUN fuelectenerg-3306 478 12 with with ADP fuelectenerg-3306 478 13 4 4 NUM fuelectenerg-3306 478 14 , , PUNCT fuelectenerg-3306 478 15 6 6 NUM fuelectenerg-3306 478 16 , , PUNCT fuelectenerg-3306 478 17 and and CCONJ fuelectenerg-3306 478 18 8 8 NUM fuelectenerg-3306 478 19 variables variable NOUN fuelectenerg-3306 478 20 . . PUNCT fuelectenerg-3306 479 1 3.1 3.1 NUM fuelectenerg-3306 479 2 vertical vertical NOUN fuelectenerg-3306 479 3 subset subset NOUN fuelectenerg-3306 479 4 since since SCONJ fuelectenerg-3306 479 5 the the DET fuelectenerg-3306 479 6 order order NOUN fuelectenerg-3306 479 7 of of ADP fuelectenerg-3306 479 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 479 9 of of ADP fuelectenerg-3306 479 10 n n CCONJ fuelectenerg-3306 479 11 - - PUNCT fuelectenerg-3306 479 12 variable variable ADJ fuelectenerg-3306 479 13 bent bent NOUN fuelectenerg-3306 479 14 functions function NOUN fuelectenerg-3306 479 15 is be AUX fuelectenerg-3306 479 16 less less ADV fuelectenerg-3306 479 17 or or CCONJ fuelectenerg-3306 479 18 equal equal ADJ fuelectenerg-3306 479 19 to to ADP fuelectenerg-3306 479 20 n/2 n/2 NUM fuelectenerg-3306 479 21 , , PUNCT fuelectenerg-3306 479 22 in in ADP fuelectenerg-3306 479 23 their their PRON fuelectenerg-3306 479 24 rm rm NOUN fuelectenerg-3306 479 25 - - PUNCT fuelectenerg-3306 479 26 spectra spectra PROPN fuelectenerg-3306 479 27 there there PRON fuelectenerg-3306 479 28 can can AUX fuelectenerg-3306 479 29 not not PART fuelectenerg-3306 479 30 be be AUX fuelectenerg-3306 479 31 non non ADJ fuelectenerg-3306 479 32 - - ADJ fuelectenerg-3306 479 33 zero zero NUM fuelectenerg-3306 479 34 rm rm NOUN fuelectenerg-3306 479 35 - - PUNCT fuelectenerg-3306 479 36 coefficients coefficient NOUN fuelectenerg-3306 479 37 assigned assign VERB fuelectenerg-3306 479 38 to to ADP fuelectenerg-3306 479 39 product product NOUN fuelectenerg-3306 479 40 terms term NOUN fuelectenerg-3306 479 41 with with ADP fuelectenerg-3306 479 42 more more ADJ fuelectenerg-3306 479 43 than than ADP fuelectenerg-3306 479 44 n/2 n/2 NOUN fuelectenerg-3306 479 45 variables variable NOUN fuelectenerg-3306 479 46 . . PUNCT fuelectenerg-3306 480 1 the the DET fuelectenerg-3306 480 2 values value NOUN fuelectenerg-3306 480 3 of of ADP fuelectenerg-3306 480 4 coefficients coefficient NOUN fuelectenerg-3306 480 5 of of ADP fuelectenerg-3306 480 6 larger large ADJ fuelectenerg-3306 480 7 order order NOUN fuelectenerg-3306 480 8 are be AUX fuelectenerg-3306 480 9 0 0 NUM fuelectenerg-3306 480 10 . . PUNCT fuelectenerg-3306 481 1 therefore therefore ADV fuelectenerg-3306 481 2 , , PUNCT fuelectenerg-3306 481 3 the the DET fuelectenerg-3306 481 4 number number NOUN fuelectenerg-3306 481 5 of of ADP fuelectenerg-3306 481 6 possible possible ADJ fuelectenerg-3306 481 7 non non ADJ fuelectenerg-3306 481 8 - - ADJ fuelectenerg-3306 481 9 zero zero NUM fuelectenerg-3306 481 10 coefficients coefficient NOUN fuelectenerg-3306 481 11 is be AUX fuelectenerg-3306 481 12 smaller small ADJ fuelectenerg-3306 481 13 than than ADP fuelectenerg-3306 481 14 2n 2n NUM fuelectenerg-3306 481 15 . . PUNCT fuelectenerg-3306 482 1 functions function NOUN fuelectenerg-3306 482 2 that that PRON fuelectenerg-3306 482 3 do do AUX fuelectenerg-3306 482 4 not not PART fuelectenerg-3306 482 5 satisfy satisfy VERB fuelectenerg-3306 482 6 this this DET fuelectenerg-3306 482 7 requirement requirement NOUN fuelectenerg-3306 482 8 can can AUX fuelectenerg-3306 482 9 be be AUX fuelectenerg-3306 482 10 eliminated eliminate VERB fuelectenerg-3306 482 11 from from ADP fuelectenerg-3306 482 12 checking check VERB fuelectenerg-3306 482 13 for for ADP fuelectenerg-3306 482 14 bentness bentness NOUN fuelectenerg-3306 482 15 . . PUNCT fuelectenerg-3306 483 1 in in ADP fuelectenerg-3306 483 2 this this DET fuelectenerg-3306 483 3 way way NOUN fuelectenerg-3306 483 4 , , PUNCT fuelectenerg-3306 483 5 the the DET fuelectenerg-3306 483 6 search search NOUN fuelectenerg-3306 483 7 space space NOUN fuelectenerg-3306 483 8 for for ADP fuelectenerg-3306 483 9 bent bent ADJ fuelectenerg-3306 483 10 functions function NOUN fuelectenerg-3306 483 11 is be AUX fuelectenerg-3306 483 12 considerably considerably ADV fuelectenerg-3306 483 13 reduced reduce VERB fuelectenerg-3306 483 14 which which PRON fuelectenerg-3306 483 15 permits permit VERB fuelectenerg-3306 483 16 for for ADP fuelectenerg-3306 483 17 finding find VERB fuelectenerg-3306 483 18 bent bent ADJ fuelectenerg-3306 483 19 functions function NOUN fuelectenerg-3306 483 20 in in ADP fuelectenerg-3306 483 21 a a DET fuelectenerg-3306 483 22 reasonably reasonably ADV fuelectenerg-3306 483 23 short short ADJ fuelectenerg-3306 483 24 time time NOUN fuelectenerg-3306 483 25 . . PUNCT fuelectenerg-3306 484 1 since since SCONJ fuelectenerg-3306 484 2 the the DET fuelectenerg-3306 484 3 rm rm NOUN fuelectenerg-3306 484 4 - - PUNCT fuelectenerg-3306 484 5 expression expression NOUN fuelectenerg-3306 484 6 for for ADP fuelectenerg-3306 484 7 a a DET fuelectenerg-3306 484 8 bent bent ADJ fuelectenerg-3306 484 9 function function NOUN fuelectenerg-3306 484 10 can can AUX fuelectenerg-3306 484 11 not not PART fuelectenerg-3306 484 12 contain contain VERB fuelectenerg-3306 484 13 product product NOUN fuelectenerg-3306 484 14 terms term NOUN fuelectenerg-3306 484 15 with with ADP fuelectenerg-3306 484 16 more more ADJ fuelectenerg-3306 484 17 than than ADP fuelectenerg-3306 484 18 n/2 n/2 NOUN fuelectenerg-3306 484 19 variables variable NOUN fuelectenerg-3306 484 20 , , PUNCT fuelectenerg-3306 484 21 the the DET fuelectenerg-3306 484 22 maximal maximal ADJ fuelectenerg-3306 484 23 number number NOUN fuelectenerg-3306 484 24 of of ADP fuelectenerg-3306 484 25 non non ADJ fuelectenerg-3306 484 26 - - ADJ fuelectenerg-3306 484 27 zero zero NUM fuelectenerg-3306 484 28 coefficients coefficient NOUN fuelectenerg-3306 484 29 of of ADP fuelectenerg-3306 484 30 k k NOUN fuelectenerg-3306 484 31 - - PUNCT fuelectenerg-3306 484 32 th th VERB fuelectenerg-3306 484 33 order order NOUN fuelectenerg-3306 484 34 is be AUX fuelectenerg-3306 484 35 ( ( PUNCT fuelectenerg-3306 484 36 n n X fuelectenerg-3306 484 37 k k PROPN fuelectenerg-3306 484 38 ) ) PUNCT fuelectenerg-3306 484 39 , , PUNCT fuelectenerg-3306 484 40 k k X fuelectenerg-3306 484 41 = = SYM fuelectenerg-3306 484 42 0 0 NUM fuelectenerg-3306 484 43 , , PUNCT fuelectenerg-3306 484 44 1 1 NUM fuelectenerg-3306 484 45 , , PUNCT fuelectenerg-3306 484 46 . . PUNCT fuelectenerg-3306 484 47 . . PUNCT fuelectenerg-3306 485 1 . . PUNCT fuelectenerg-3306 486 1 , , PUNCT fuelectenerg-3306 486 2 n/2 n/2 PROPN fuelectenerg-3306 486 3 . . PUNCT fuelectenerg-3306 487 1 therefore therefore ADV fuelectenerg-3306 487 2 , , PUNCT fuelectenerg-3306 487 3 the the DET fuelectenerg-3306 487 4 total total ADJ fuelectenerg-3306 487 5 number number NOUN fuelectenerg-3306 487 6 of of ADP fuelectenerg-3306 487 7 non non ADJ fuelectenerg-3306 487 8 - - ADJ fuelectenerg-3306 487 9 zero zero NUM fuelectenerg-3306 487 10 coefficients coefficient NOUN fuelectenerg-3306 487 11 in in ADP fuelectenerg-3306 487 12 the the DET fuelectenerg-3306 487 13 rm rm NOUN fuelectenerg-3306 487 14 spectrum spectrum NOUN fuelectenerg-3306 487 15 of of ADP fuelectenerg-3306 487 16 bent bent ADJ fuelectenerg-3306 487 17 functions function NOUN fuelectenerg-3306 487 18 is be AUX fuelectenerg-3306 487 19 : : PUNCT fuelectenerg-3306 487 20 ( ( PUNCT fuelectenerg-3306 487 21 n n X fuelectenerg-3306 487 22 0 0 NUM fuelectenerg-3306 487 23 ) ) PUNCT fuelectenerg-3306 488 1 + + CCONJ fuelectenerg-3306 488 2 ( ( PUNCT fuelectenerg-3306 488 3 n n ADV fuelectenerg-3306 488 4 1 1 NUM fuelectenerg-3306 488 5 ) ) PUNCT fuelectenerg-3306 488 6 + + CCONJ fuelectenerg-3306 488 7 . . PUNCT fuelectenerg-3306 488 8 . . PUNCT fuelectenerg-3306 489 1 .+ .+ NOUN fuelectenerg-3306 489 2 ( ( PUNCT fuelectenerg-3306 489 3 n n CCONJ fuelectenerg-3306 489 4 n/2 n/2 X fuelectenerg-3306 489 5 ) ) PUNCT fuelectenerg-3306 489 6 = = PUNCT fuelectenerg-3306 490 1 2n−1 2n−1 NUM fuelectenerg-3306 491 1 + + CCONJ fuelectenerg-3306 491 2 1 1 NUM fuelectenerg-3306 491 3 2 2 NUM fuelectenerg-3306 491 4 ( ( PUNCT fuelectenerg-3306 491 5 n n NOUN fuelectenerg-3306 491 6 n n PRON fuelectenerg-3306 491 7 2 2 NUM fuelectenerg-3306 491 8 ) ) PUNCT fuelectenerg-3306 491 9 . . PUNCT fuelectenerg-3306 492 1 vertical vertical ADJ fuelectenerg-3306 492 2 ( ( PUNCT fuelectenerg-3306 492 3 v v NOUN fuelectenerg-3306 492 4 ) ) PUNCT fuelectenerg-3306 492 5 subset subset VERB fuelectenerg-3306 492 6 consists consist NOUN fuelectenerg-3306 492 7 of of ADP fuelectenerg-3306 492 8 n n CCONJ fuelectenerg-3306 492 9 - - PUNCT fuelectenerg-3306 492 10 variable variable ADJ fuelectenerg-3306 492 11 boolean boolean ADJ fuelectenerg-3306 492 12 functions function NOUN fuelectenerg-3306 492 13 with with ADP fuelectenerg-3306 492 14 no no PRON fuelectenerg-3306 492 15 more more ADJ fuelectenerg-3306 492 16 than than ADP fuelectenerg-3306 492 17 2n−1 2n−1 NUM fuelectenerg-3306 492 18 + + CCONJ fuelectenerg-3306 492 19 1 1 NUM fuelectenerg-3306 492 20 2 2 NUM fuelectenerg-3306 492 21 ( ( PUNCT fuelectenerg-3306 492 22 n n NOUN fuelectenerg-3306 492 23 n n PRON fuelectenerg-3306 492 24 2 2 NUM fuelectenerg-3306 492 25 ) ) PUNCT fuelectenerg-3306 492 26 rm rm NOUN fuelectenerg-3306 492 27 - - PUNCT fuelectenerg-3306 492 28 coefficients coefficient NOUN fuelectenerg-3306 492 29 . . PUNCT fuelectenerg-3306 493 1 definition definition NOUN fuelectenerg-3306 493 2 5 5 NUM fuelectenerg-3306 493 3 a a DET fuelectenerg-3306 493 4 bent bent ADJ fuelectenerg-3306 493 5 function function NOUN fuelectenerg-3306 493 6 belongs belong VERB fuelectenerg-3306 493 7 to to ADP fuelectenerg-3306 493 8 the the DET fuelectenerg-3306 493 9 vertical vertical ADJ fuelectenerg-3306 493 10 k k NOUN fuelectenerg-3306 493 11 - - PUNCT fuelectenerg-3306 493 12 subset subset ADJ fuelectenerg-3306 493 13 v v NOUN fuelectenerg-3306 493 14 ( ( PUNCT fuelectenerg-3306 493 15 k k NOUN fuelectenerg-3306 493 16 ) ) PUNCT fuelectenerg-3306 493 17 iff iff NOUN fuelectenerg-3306 493 18 it it PRON fuelectenerg-3306 493 19 has have VERB fuelectenerg-3306 493 20 k k PROPN fuelectenerg-3306 493 21 non non ADJ fuelectenerg-3306 493 22 - - ADJ fuelectenerg-3306 493 23 zero zero NUM fuelectenerg-3306 493 24 rm rm NOUN fuelectenerg-3306 493 25 - - PUNCT fuelectenerg-3306 493 26 coefficients coefficient NOUN fuelectenerg-3306 493 27 . . PUNCT fuelectenerg-3306 494 1 clearly clearly ADV fuelectenerg-3306 494 2 , , PUNCT fuelectenerg-3306 494 3 the the DET fuelectenerg-3306 494 4 number number NOUN fuelectenerg-3306 494 5 of of ADP fuelectenerg-3306 494 6 possible possible ADJ fuelectenerg-3306 494 7 v v NOUN fuelectenerg-3306 494 8 subsets subset NOUN fuelectenerg-3306 494 9 depends depend VERB fuelectenerg-3306 494 10 of of ADP fuelectenerg-3306 494 11 the the DET fuelectenerg-3306 494 12 number number NOUN fuelectenerg-3306 494 13 of of ADP fuelectenerg-3306 494 14 variables variable NOUN fuelectenerg-3306 494 15 . . PUNCT fuelectenerg-3306 495 1 example example NOUN fuelectenerg-3306 495 2 2 2 NUM fuelectenerg-3306 495 3 the the DET fuelectenerg-3306 495 4 maximal maximal ADJ fuelectenerg-3306 495 5 number number NOUN fuelectenerg-3306 495 6 of of ADP fuelectenerg-3306 495 7 non non ADJ fuelectenerg-3306 495 8 - - ADJ fuelectenerg-3306 495 9 zero zero ADJ fuelectenerg-3306 495 10 spectral spectral ADJ fuelectenerg-3306 495 11 rm rm PROPN fuelectenerg-3306 495 12 coefficients coefficient NOUN fuelectenerg-3306 495 13 of of ADP fuelectenerg-3306 495 14 bent bent ADJ fuelectenerg-3306 495 15 functions function NOUN fuelectenerg-3306 495 16 with with ADP fuelectenerg-3306 495 17 4 4 NUM fuelectenerg-3306 495 18 variables variable NOUN fuelectenerg-3306 495 19 is be AUX fuelectenerg-3306 495 20 11 11 NUM fuelectenerg-3306 495 21 out out ADP fuelectenerg-3306 495 22 of of ADP fuelectenerg-3306 495 23 16 16 NUM fuelectenerg-3306 495 24 coefficients coefficient NOUN fuelectenerg-3306 495 25 . . PUNCT fuelectenerg-3306 496 1 hence hence ADV fuelectenerg-3306 496 2 , , PUNCT fuelectenerg-3306 496 3 there there PRON fuelectenerg-3306 496 4 are be VERB fuelectenerg-3306 496 5 construction construction NOUN fuelectenerg-3306 496 6 of of ADP fuelectenerg-3306 496 7 subsets subset NOUN fuelectenerg-3306 496 8 of of ADP fuelectenerg-3306 496 9 bent bent ADJ fuelectenerg-3306 496 10 functions function NOUN fuelectenerg-3306 496 11 satisfying satisfy VERB fuelectenerg-3306 496 12 restrictions restriction NOUN fuelectenerg-3306 496 13 ... ... PUNCT fuelectenerg-3306 496 14 7 7 NUM fuelectenerg-3306 496 15 in in ADP fuelectenerg-3306 496 16 a a DET fuelectenerg-3306 496 17 product product NOUN fuelectenerg-3306 496 18 term term NOUN fuelectenerg-3306 496 19 corresponding correspond VERB fuelectenerg-3306 496 20 to to ADP fuelectenerg-3306 496 21 a a DET fuelectenerg-3306 496 22 non non ADJ fuelectenerg-3306 496 23 - - ADJ fuelectenerg-3306 496 24 zero zero NUM fuelectenerg-3306 496 25 rm rm NOUN fuelectenerg-3306 496 26 - - NOUN fuelectenerg-3306 496 27 coefficient coefficient NOUN fuelectenerg-3306 496 28 . . PUNCT fuelectenerg-3306 497 1 we we PRON fuelectenerg-3306 497 2 call call VERB fuelectenerg-3306 497 3 it it PRON fuelectenerg-3306 497 4 the the DET fuelectenerg-3306 497 5 horizontal horizontal ADJ fuelectenerg-3306 497 6 subset subset NOUN fuelectenerg-3306 497 7 . . PUNCT fuelectenerg-3306 498 1 3 3 X fuelectenerg-3306 498 2 . . X fuelectenerg-3306 498 3 both both PRON fuelectenerg-3306 498 4 , , PUNCT fuelectenerg-3306 498 5 the the DET fuelectenerg-3306 498 6 number number NOUN fuelectenerg-3306 498 7 of of ADP fuelectenerg-3306 498 8 non non ADJ fuelectenerg-3306 498 9 - - ADJ fuelectenerg-3306 498 10 zero zero NUM fuelectenerg-3306 498 11 rm rm NOUN fuelectenerg-3306 498 12 - - PUNCT fuelectenerg-3306 498 13 coefficients coefficient NOUN fuelectenerg-3306 498 14 and and CCONJ fuelectenerg-3306 498 15 the the DET fuelectenerg-3306 498 16 order order NOUN fuelectenerg-3306 498 17 of of ADP fuelectenerg-3306 498 18 nonlinearity nonlinearity NOUN fuelectenerg-3306 498 19 . . PUNCT fuelectenerg-3306 499 1 we we PRON fuelectenerg-3306 499 2 call call VERB fuelectenerg-3306 499 3 it it PRON fuelectenerg-3306 499 4 the the DET fuelectenerg-3306 499 5 grid grid NOUN fuelectenerg-3306 499 6 subset subset NOUN fuelectenerg-3306 499 7 . . PUNCT fuelectenerg-3306 500 1 the the DET fuelectenerg-3306 500 2 main main ADJ fuelectenerg-3306 500 3 objective objective NOUN fuelectenerg-3306 500 4 is be AUX fuelectenerg-3306 500 5 to to PART fuelectenerg-3306 500 6 investigate investigate VERB fuelectenerg-3306 500 7 the the DET fuelectenerg-3306 500 8 number number NOUN fuelectenerg-3306 500 9 of of ADP fuelectenerg-3306 500 10 bent bent ADJ fuelectenerg-3306 500 11 functions function NOUN fuelectenerg-3306 500 12 in in ADP fuelectenerg-3306 500 13 each each PRON fuelectenerg-3306 500 14 of of ADP fuelectenerg-3306 500 15 these these DET fuelectenerg-3306 500 16 subsets subset NOUN fuelectenerg-3306 500 17 . . PUNCT fuelectenerg-3306 501 1 in in ADP fuelectenerg-3306 501 2 order order NOUN fuelectenerg-3306 501 3 to to PART fuelectenerg-3306 501 4 study study VERB fuelectenerg-3306 501 5 the the DET fuelectenerg-3306 501 6 proposed propose VERB fuelectenerg-3306 501 7 subsets subset NOUN fuelectenerg-3306 501 8 of of ADP fuelectenerg-3306 501 9 functions function NOUN fuelectenerg-3306 501 10 in in ADP fuelectenerg-3306 501 11 the the DET fuelectenerg-3306 501 12 spectral spectral ADJ fuelectenerg-3306 501 13 rm rm PROPN fuelectenerg-3306 501 14 domain domain NOUN fuelectenerg-3306 501 15 , , PUNCT fuelectenerg-3306 501 16 we we PRON fuelectenerg-3306 501 17 developed develop VERB fuelectenerg-3306 501 18 in in ADP fuelectenerg-3306 501 19 c++ c++ NOUN fuelectenerg-3306 501 20 three three NUM fuelectenerg-3306 501 21 independent independent ADJ fuelectenerg-3306 501 22 implementations implementation NOUN fuelectenerg-3306 501 23 of of ADP fuelectenerg-3306 501 24 the the DET fuelectenerg-3306 501 25 algorithms algorithm NOUN fuelectenerg-3306 501 26 for for ADP fuelectenerg-3306 501 27 vertical vertical ADJ fuelectenerg-3306 501 28 , , PUNCT fuelectenerg-3306 501 29 horizontal horizontal ADJ fuelectenerg-3306 501 30 , , PUNCT fuelectenerg-3306 501 31 and and CCONJ fuelectenerg-3306 501 32 grid grid NOUN fuelectenerg-3306 501 33 rm rm PROPN fuelectenerg-3306 501 34 subset subset NOUN fuelectenerg-3306 501 35 classifications classification NOUN fuelectenerg-3306 501 36 . . PUNCT fuelectenerg-3306 502 1 these these DET fuelectenerg-3306 502 2 implementations implementation NOUN fuelectenerg-3306 502 3 are be AUX fuelectenerg-3306 502 4 used use VERB fuelectenerg-3306 502 5 to to PART fuelectenerg-3306 502 6 investigate investigate VERB fuelectenerg-3306 502 7 considered consider VERB fuelectenerg-3306 502 8 subsets subset NOUN fuelectenerg-3306 502 9 of of ADP fuelectenerg-3306 502 10 bent bent ADJ fuelectenerg-3306 502 11 functions function NOUN fuelectenerg-3306 502 12 with with ADP fuelectenerg-3306 502 13 4 4 NUM fuelectenerg-3306 502 14 , , PUNCT fuelectenerg-3306 502 15 6 6 NUM fuelectenerg-3306 502 16 , , PUNCT fuelectenerg-3306 502 17 and and CCONJ fuelectenerg-3306 502 18 8 8 NUM fuelectenerg-3306 502 19 variables variable NOUN fuelectenerg-3306 502 20 . . PUNCT fuelectenerg-3306 503 1 3.1 3.1 NUM fuelectenerg-3306 503 2 vertical vertical NOUN fuelectenerg-3306 503 3 subset subset NOUN fuelectenerg-3306 503 4 since since SCONJ fuelectenerg-3306 503 5 the the DET fuelectenerg-3306 503 6 order order NOUN fuelectenerg-3306 503 7 of of ADP fuelectenerg-3306 503 8 nonlinearity nonlinearity NOUN fuelectenerg-3306 503 9 of of ADP fuelectenerg-3306 503 10 n n CCONJ fuelectenerg-3306 503 11 - - PUNCT fuelectenerg-3306 503 12 variable variable ADJ fuelectenerg-3306 503 13 bent bent NOUN fuelectenerg-3306 503 14 functions function NOUN fuelectenerg-3306 503 15 is be AUX fuelectenerg-3306 503 16 less less ADV fuelectenerg-3306 503 17 or or CCONJ fuelectenerg-3306 503 18 equal equal ADJ fuelectenerg-3306 503 19 to to ADP fuelectenerg-3306 503 20 n/2 n/2 NUM fuelectenerg-3306 503 21 , , PUNCT fuelectenerg-3306 503 22 in in ADP fuelectenerg-3306 503 23 their their PRON fuelectenerg-3306 503 24 rm rm NOUN fuelectenerg-3306 503 25 - - PUNCT fuelectenerg-3306 503 26 spectra spectra PROPN fuelectenerg-3306 503 27 there there PRON fuelectenerg-3306 503 28 can can AUX fuelectenerg-3306 503 29 not not PART fuelectenerg-3306 503 30 be be AUX fuelectenerg-3306 503 31 non non ADJ fuelectenerg-3306 503 32 - - ADJ fuelectenerg-3306 503 33 zero zero NUM fuelectenerg-3306 503 34 rm rm NOUN fuelectenerg-3306 503 35 - - PUNCT fuelectenerg-3306 503 36 coefficients coefficient NOUN fuelectenerg-3306 503 37 assigned assign VERB fuelectenerg-3306 503 38 to to ADP fuelectenerg-3306 503 39 product product NOUN fuelectenerg-3306 503 40 terms term NOUN fuelectenerg-3306 503 41 with with ADP fuelectenerg-3306 503 42 more more ADJ fuelectenerg-3306 503 43 than than ADP fuelectenerg-3306 503 44 n/2 n/2 NOUN fuelectenerg-3306 503 45 variables variable NOUN fuelectenerg-3306 503 46 . . PUNCT fuelectenerg-3306 504 1 the the DET fuelectenerg-3306 504 2 values value NOUN fuelectenerg-3306 504 3 of of ADP fuelectenerg-3306 504 4 coefficients coefficient NOUN fuelectenerg-3306 504 5 of of ADP fuelectenerg-3306 504 6 larger large ADJ fuelectenerg-3306 504 7 order order NOUN fuelectenerg-3306 504 8 are be AUX fuelectenerg-3306 504 9 0 0 NUM fuelectenerg-3306 504 10 . . PUNCT fuelectenerg-3306 505 1 therefore therefore ADV fuelectenerg-3306 505 2 , , PUNCT fuelectenerg-3306 505 3 the the DET fuelectenerg-3306 505 4 number number NOUN fuelectenerg-3306 505 5 of of ADP fuelectenerg-3306 505 6 possible possible ADJ fuelectenerg-3306 505 7 non non ADJ fuelectenerg-3306 505 8 - - ADJ fuelectenerg-3306 505 9 zero zero NUM fuelectenerg-3306 505 10 coefficients coefficient NOUN fuelectenerg-3306 505 11 is be AUX fuelectenerg-3306 505 12 smaller small ADJ fuelectenerg-3306 505 13 than than ADP fuelectenerg-3306 505 14 2n 2n NUM fuelectenerg-3306 505 15 . . PUNCT fuelectenerg-3306 506 1 functions function NOUN fuelectenerg-3306 506 2 that that PRON fuelectenerg-3306 506 3 do do AUX fuelectenerg-3306 506 4 not not PART fuelectenerg-3306 506 5 satisfy satisfy VERB fuelectenerg-3306 506 6 this this DET fuelectenerg-3306 506 7 requirement requirement NOUN fuelectenerg-3306 506 8 can can AUX fuelectenerg-3306 506 9 be be AUX fuelectenerg-3306 506 10 eliminated eliminate VERB fuelectenerg-3306 506 11 from from ADP fuelectenerg-3306 506 12 checking check VERB fuelectenerg-3306 506 13 for for ADP fuelectenerg-3306 506 14 bentness bentness NOUN fuelectenerg-3306 506 15 . . PUNCT fuelectenerg-3306 507 1 in in ADP fuelectenerg-3306 507 2 this this DET fuelectenerg-3306 507 3 way way NOUN fuelectenerg-3306 507 4 , , PUNCT fuelectenerg-3306 507 5 the the DET fuelectenerg-3306 507 6 search search NOUN fuelectenerg-3306 507 7 space space NOUN fuelectenerg-3306 507 8 for for ADP fuelectenerg-3306 507 9 bent bent ADJ fuelectenerg-3306 507 10 functions function NOUN fuelectenerg-3306 507 11 is be AUX fuelectenerg-3306 507 12 considerably considerably ADV fuelectenerg-3306 507 13 reduced reduce VERB fuelectenerg-3306 507 14 which which PRON fuelectenerg-3306 507 15 permits permit VERB fuelectenerg-3306 507 16 for for ADP fuelectenerg-3306 507 17 finding find VERB fuelectenerg-3306 507 18 bent bent ADJ fuelectenerg-3306 507 19 functions function NOUN fuelectenerg-3306 507 20 in in ADP fuelectenerg-3306 507 21 a a DET fuelectenerg-3306 507 22 reasonably reasonably ADV fuelectenerg-3306 507 23 short short ADJ fuelectenerg-3306 507 24 time time NOUN fuelectenerg-3306 507 25 . . PUNCT fuelectenerg-3306 508 1 since since SCONJ fuelectenerg-3306 508 2 the the DET fuelectenerg-3306 508 3 rm rm NOUN fuelectenerg-3306 508 4 - - PUNCT fuelectenerg-3306 508 5 expression expression NOUN fuelectenerg-3306 508 6 for for ADP fuelectenerg-3306 508 7 a a DET fuelectenerg-3306 508 8 bent bent ADJ fuelectenerg-3306 508 9 function function NOUN fuelectenerg-3306 508 10 can can AUX fuelectenerg-3306 508 11 not not PART fuelectenerg-3306 508 12 contain contain VERB fuelectenerg-3306 508 13 product product NOUN fuelectenerg-3306 508 14 terms term NOUN fuelectenerg-3306 508 15 with with ADP fuelectenerg-3306 508 16 more more ADJ fuelectenerg-3306 508 17 than than ADP fuelectenerg-3306 508 18 n/2 n/2 NOUN fuelectenerg-3306 508 19 variables variable NOUN fuelectenerg-3306 508 20 , , PUNCT fuelectenerg-3306 508 21 the the DET fuelectenerg-3306 508 22 maximal maximal ADJ fuelectenerg-3306 508 23 number number NOUN fuelectenerg-3306 508 24 of of ADP fuelectenerg-3306 508 25 non non ADJ fuelectenerg-3306 508 26 - - ADJ fuelectenerg-3306 508 27 zero zero NUM fuelectenerg-3306 508 28 coefficients coefficient NOUN fuelectenerg-3306 508 29 of of ADP fuelectenerg-3306 508 30 k k NOUN fuelectenerg-3306 508 31 - - PUNCT fuelectenerg-3306 508 32 th th VERB fuelectenerg-3306 508 33 order order NOUN fuelectenerg-3306 508 34 is be AUX fuelectenerg-3306 508 35 ( ( PUNCT fuelectenerg-3306 508 36 n n X fuelectenerg-3306 508 37 k k PROPN fuelectenerg-3306 508 38 ) ) PUNCT fuelectenerg-3306 508 39 , , PUNCT fuelectenerg-3306 508 40 k k X fuelectenerg-3306 508 41 = = SYM fuelectenerg-3306 508 42 0 0 NUM fuelectenerg-3306 508 43 , , PUNCT fuelectenerg-3306 508 44 1 1 NUM fuelectenerg-3306 508 45 , , PUNCT fuelectenerg-3306 508 46 . . PUNCT fuelectenerg-3306 508 47 . . PUNCT fuelectenerg-3306 509 1 . . PUNCT fuelectenerg-3306 510 1 , , PUNCT fuelectenerg-3306 510 2 n/2 n/2 PROPN fuelectenerg-3306 510 3 . . PUNCT fuelectenerg-3306 511 1 therefore therefore ADV fuelectenerg-3306 511 2 , , PUNCT fuelectenerg-3306 511 3 the the DET fuelectenerg-3306 511 4 total total ADJ fuelectenerg-3306 511 5 number number NOUN fuelectenerg-3306 511 6 of of ADP fuelectenerg-3306 511 7 non non ADJ fuelectenerg-3306 511 8 - - ADJ fuelectenerg-3306 511 9 zero zero NUM fuelectenerg-3306 511 10 coefficients coefficient NOUN fuelectenerg-3306 511 11 in in ADP fuelectenerg-3306 511 12 the the DET fuelectenerg-3306 511 13 rm rm NOUN fuelectenerg-3306 511 14 spectrum spectrum NOUN fuelectenerg-3306 511 15 of of ADP fuelectenerg-3306 511 16 bent bent ADJ fuelectenerg-3306 511 17 functions function NOUN fuelectenerg-3306 511 18 is be AUX fuelectenerg-3306 511 19 : : PUNCT fuelectenerg-3306 511 20 ( ( PUNCT fuelectenerg-3306 511 21 n n X fuelectenerg-3306 511 22 0 0 NUM fuelectenerg-3306 511 23 ) ) PUNCT fuelectenerg-3306 512 1 + + CCONJ fuelectenerg-3306 512 2 ( ( PUNCT fuelectenerg-3306 512 3 n n ADV fuelectenerg-3306 512 4 1 1 NUM fuelectenerg-3306 512 5 ) ) PUNCT fuelectenerg-3306 512 6 + + CCONJ fuelectenerg-3306 512 7 . . PUNCT fuelectenerg-3306 512 8 . . PUNCT fuelectenerg-3306 513 1 .+ .+ NOUN fuelectenerg-3306 513 2 ( ( PUNCT fuelectenerg-3306 513 3 n n CCONJ fuelectenerg-3306 513 4 n/2 n/2 X fuelectenerg-3306 513 5 ) ) PUNCT fuelectenerg-3306 513 6 = = PUNCT fuelectenerg-3306 514 1 2n−1 2n−1 NUM fuelectenerg-3306 515 1 + + CCONJ fuelectenerg-3306 515 2 1 1 NUM fuelectenerg-3306 515 3 2 2 NUM fuelectenerg-3306 515 4 ( ( PUNCT fuelectenerg-3306 515 5 n n NOUN fuelectenerg-3306 515 6 n n PRON fuelectenerg-3306 515 7 2 2 NUM fuelectenerg-3306 515 8 ) ) PUNCT fuelectenerg-3306 515 9 . . PUNCT fuelectenerg-3306 516 1 vertical vertical ADJ fuelectenerg-3306 516 2 ( ( PUNCT fuelectenerg-3306 516 3 v v NOUN fuelectenerg-3306 516 4 ) ) PUNCT fuelectenerg-3306 516 5 subset subset VERB fuelectenerg-3306 516 6 consists consist NOUN fuelectenerg-3306 516 7 of of ADP fuelectenerg-3306 516 8 n n CCONJ fuelectenerg-3306 516 9 - - PUNCT fuelectenerg-3306 516 10 variable variable ADJ fuelectenerg-3306 516 11 boolean boolean ADJ fuelectenerg-3306 516 12 functions function NOUN fuelectenerg-3306 516 13 with with ADP fuelectenerg-3306 516 14 no no PRON fuelectenerg-3306 516 15 more more ADJ fuelectenerg-3306 516 16 than than ADP fuelectenerg-3306 516 17 2n−1 2n−1 NUM fuelectenerg-3306 516 18 + + CCONJ fuelectenerg-3306 516 19 1 1 NUM fuelectenerg-3306 516 20 2 2 NUM fuelectenerg-3306 516 21 ( ( PUNCT fuelectenerg-3306 516 22 n n NOUN fuelectenerg-3306 516 23 n n PRON fuelectenerg-3306 516 24 2 2 NUM fuelectenerg-3306 516 25 ) ) PUNCT fuelectenerg-3306 516 26 rm rm NOUN fuelectenerg-3306 516 27 - - PUNCT fuelectenerg-3306 516 28 coefficients coefficient NOUN fuelectenerg-3306 516 29 . . PUNCT fuelectenerg-3306 517 1 definition definition NOUN fuelectenerg-3306 517 2 5 5 NUM fuelectenerg-3306 517 3 a a DET fuelectenerg-3306 517 4 bent bent ADJ fuelectenerg-3306 517 5 function function NOUN fuelectenerg-3306 517 6 belongs belong VERB fuelectenerg-3306 517 7 to to ADP fuelectenerg-3306 517 8 the the DET fuelectenerg-3306 517 9 vertical vertical ADJ fuelectenerg-3306 517 10 k k NOUN fuelectenerg-3306 517 11 - - PUNCT fuelectenerg-3306 517 12 subset subset ADJ fuelectenerg-3306 517 13 v v NOUN fuelectenerg-3306 517 14 ( ( PUNCT fuelectenerg-3306 517 15 k k NOUN fuelectenerg-3306 517 16 ) ) PUNCT fuelectenerg-3306 517 17 iff iff NOUN fuelectenerg-3306 517 18 it it PRON fuelectenerg-3306 517 19 has have VERB fuelectenerg-3306 517 20 k k PROPN fuelectenerg-3306 517 21 non non ADJ fuelectenerg-3306 517 22 - - ADJ fuelectenerg-3306 517 23 zero zero NUM fuelectenerg-3306 517 24 rm rm NOUN fuelectenerg-3306 517 25 - - PUNCT fuelectenerg-3306 517 26 coefficients coefficient NOUN fuelectenerg-3306 517 27 . . PUNCT fuelectenerg-3306 518 1 clearly clearly ADV fuelectenerg-3306 518 2 , , PUNCT fuelectenerg-3306 518 3 the the DET fuelectenerg-3306 518 4 number number NOUN fuelectenerg-3306 518 5 of of ADP fuelectenerg-3306 518 6 possible possible ADJ fuelectenerg-3306 518 7 v v NOUN fuelectenerg-3306 518 8 subsets subset NOUN fuelectenerg-3306 518 9 depends depend VERB fuelectenerg-3306 518 10 of of ADP fuelectenerg-3306 518 11 the the DET fuelectenerg-3306 518 12 number number NOUN fuelectenerg-3306 518 13 of of ADP fuelectenerg-3306 518 14 variables variable NOUN fuelectenerg-3306 518 15 . . PUNCT fuelectenerg-3306 519 1 example example NOUN fuelectenerg-3306 519 2 2 2 NUM fuelectenerg-3306 519 3 the the DET fuelectenerg-3306 519 4 maximal maximal ADJ fuelectenerg-3306 519 5 number number NOUN fuelectenerg-3306 519 6 of of ADP fuelectenerg-3306 519 7 non non ADJ fuelectenerg-3306 519 8 - - ADJ fuelectenerg-3306 519 9 zero zero ADJ fuelectenerg-3306 519 10 spectral spectral ADJ fuelectenerg-3306 519 11 rm rm PROPN fuelectenerg-3306 519 12 coefficients coefficient NOUN fuelectenerg-3306 519 13 of of ADP fuelectenerg-3306 519 14 bent bent ADJ fuelectenerg-3306 519 15 functions function NOUN fuelectenerg-3306 519 16 with with ADP fuelectenerg-3306 519 17 4 4 NUM fuelectenerg-3306 519 18 variables variable NOUN fuelectenerg-3306 519 19 is be AUX fuelectenerg-3306 519 20 11 11 NUM fuelectenerg-3306 519 21 out out ADP fuelectenerg-3306 519 22 of of ADP fuelectenerg-3306 519 23 16 16 NUM fuelectenerg-3306 519 24 coefficients coefficient NOUN fuelectenerg-3306 519 25 . . PUNCT fuelectenerg-3306 520 1 hence hence ADV fuelectenerg-3306 520 2 , , PUNCT fuelectenerg-3306 520 3 there there PRON fuelectenerg-3306 520 4 are be VERB fuelectenerg-3306 520 5 8 8 NUM fuelectenerg-3306 520 6 m. m. NOUN fuelectenerg-3306 520 7 radmanović radmanović NOUN fuelectenerg-3306 520 8 and and CCONJ fuelectenerg-3306 520 9 r. r. PROPN fuelectenerg-3306 520 10 stanković stanković PROPN fuelectenerg-3306 520 11 11 11 NUM fuelectenerg-3306 520 12 possible possible ADJ fuelectenerg-3306 520 13 v v ADP fuelectenerg-3306 520 14 subsets subset NOUN fuelectenerg-3306 520 15 for for ADP fuelectenerg-3306 520 16 bent bent ADJ fuelectenerg-3306 520 17 function function NOUN fuelectenerg-3306 520 18 with with ADP fuelectenerg-3306 520 19 4 4 NUM fuelectenerg-3306 520 20 variables variable NOUN fuelectenerg-3306 520 21 . . PUNCT fuelectenerg-3306 521 1 the the DET fuelectenerg-3306 521 2 v v NOUN fuelectenerg-3306 521 3 ( ( PUNCT fuelectenerg-3306 521 4 1 1 NUM fuelectenerg-3306 521 5 ) ) PUNCT fuelectenerg-3306 521 6 subset subset NOUN fuelectenerg-3306 521 7 is be AUX fuelectenerg-3306 521 8 the the DET fuelectenerg-3306 521 9 subset subset NOUN fuelectenerg-3306 521 10 of of ADP fuelectenerg-3306 521 11 bent bent ADJ fuelectenerg-3306 521 12 functions function NOUN fuelectenerg-3306 521 13 having have VERB fuelectenerg-3306 521 14 the the DET fuelectenerg-3306 521 15 rm rm NOUN fuelectenerg-3306 521 16 spectrum spectrum VERB fuelectenerg-3306 521 17 with with ADP fuelectenerg-3306 521 18 1 1 NUM fuelectenerg-3306 521 19 non non ADJ fuelectenerg-3306 521 20 - - ADJ fuelectenerg-3306 521 21 zero zero NUM fuelectenerg-3306 521 22 rm rm NOUN fuelectenerg-3306 521 23 coefficient coefficient NOUN fuelectenerg-3306 521 24 , , PUNCT fuelectenerg-3306 521 25 the the DET fuelectenerg-3306 521 26 v v NOUN fuelectenerg-3306 521 27 ( ( PUNCT fuelectenerg-3306 521 28 2 2 NUM fuelectenerg-3306 521 29 ) ) PUNCT fuelectenerg-3306 521 30 subset subset NOUN fuelectenerg-3306 521 31 is be AUX fuelectenerg-3306 521 32 the the DET fuelectenerg-3306 521 33 subset subset NOUN fuelectenerg-3306 521 34 having have VERB fuelectenerg-3306 521 35 2 2 NUM fuelectenerg-3306 521 36 non non ADJ fuelectenerg-3306 521 37 - - ADJ fuelectenerg-3306 521 38 zero zero NUM fuelectenerg-3306 521 39 rm rm NOUN fuelectenerg-3306 521 40 coefficients coefficient NOUN fuelectenerg-3306 521 41 , , PUNCT fuelectenerg-3306 521 42 and and CCONJ fuelectenerg-3306 521 43 etc etc X fuelectenerg-3306 521 44 . . X fuelectenerg-3306 522 1 there there PRON fuelectenerg-3306 522 2 are be VERB fuelectenerg-3306 522 3 42 42 NUM fuelectenerg-3306 522 4 possible possible ADJ fuelectenerg-3306 522 5 v v ADP fuelectenerg-3306 522 6 subsets subset NOUN fuelectenerg-3306 522 7 for for ADP fuelectenerg-3306 522 8 bent bent ADJ fuelectenerg-3306 522 9 functions function NOUN fuelectenerg-3306 522 10 with with ADP fuelectenerg-3306 522 11 6 6 NUM fuelectenerg-3306 522 12 variables variable NOUN fuelectenerg-3306 522 13 , , PUNCT fuelectenerg-3306 522 14 and and CCONJ fuelectenerg-3306 522 15 163 163 NUM fuelectenerg-3306 522 16 possible possible ADJ fuelectenerg-3306 522 17 v v ADP fuelectenerg-3306 522 18 subsets subset NOUN fuelectenerg-3306 522 19 for for ADP fuelectenerg-3306 522 20 bent bent ADJ fuelectenerg-3306 522 21 functions function NOUN fuelectenerg-3306 522 22 with with ADP fuelectenerg-3306 522 23 8 8 NUM fuelectenerg-3306 522 24 variables variable NOUN fuelectenerg-3306 522 25 . . PUNCT fuelectenerg-3306 523 1 example example NOUN fuelectenerg-3306 523 2 3 3 NUM fuelectenerg-3306 523 3 two two NUM fuelectenerg-3306 523 4 bent bent ADJ fuelectenerg-3306 523 5 functions function NOUN fuelectenerg-3306 523 6 of of ADP fuelectenerg-3306 523 7 4 4 NUM fuelectenerg-3306 523 8 variables variable NOUN fuelectenerg-3306 523 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 523 10 , , PUNCT fuelectenerg-3306 523 11 x2 x2 PROPN fuelectenerg-3306 523 12 , , PUNCT fuelectenerg-3306 523 13 x3 x3 ADJ fuelectenerg-3306 523 14 , , PUNCT fuelectenerg-3306 523 15 x4 x4 PROPN fuelectenerg-3306 523 16 ) ) PUNCT fuelectenerg-3306 523 17 = = SYM fuelectenerg-3306 523 18 1⊕x1x2⊕ 1⊕x1x2⊕ NOUN fuelectenerg-3306 523 19 x3x4 x3x4 PROPN fuelectenerg-3306 523 20 , , PUNCT fuelectenerg-3306 523 21 and and CCONJ fuelectenerg-3306 523 22 f2(x1 f2(x1 ADJ fuelectenerg-3306 523 23 , , PUNCT fuelectenerg-3306 523 24 x2 x2 PROPN fuelectenerg-3306 523 25 , , PUNCT fuelectenerg-3306 523 26 x3 x3 ADJ fuelectenerg-3306 523 27 , , PUNCT fuelectenerg-3306 523 28 x4 x4 PROPN fuelectenerg-3306 523 29 ) ) PUNCT fuelectenerg-3306 523 30 = = PUNCT fuelectenerg-3306 523 31 x4⊕x1x2⊕x3x4 x4⊕x1x2⊕x3x4 X fuelectenerg-3306 523 32 have have VERB fuelectenerg-3306 523 33 3 3 NUM fuelectenerg-3306 523 34 non non ADJ fuelectenerg-3306 523 35 - - ADJ fuelectenerg-3306 523 36 zero zero NUM fuelectenerg-3306 523 37 rm rm NOUN fuelectenerg-3306 523 38 - - PUNCT fuelectenerg-3306 523 39 coefficients coefficient NOUN fuelectenerg-3306 523 40 and and CCONJ fuelectenerg-3306 523 41 belong belong VERB fuelectenerg-3306 523 42 to to ADP fuelectenerg-3306 523 43 the the DET fuelectenerg-3306 523 44 same same ADJ fuelectenerg-3306 523 45 subset subset NOUN fuelectenerg-3306 523 46 v v NOUN fuelectenerg-3306 523 47 ( ( PUNCT fuelectenerg-3306 523 48 3 3 NUM fuelectenerg-3306 523 49 ) ) PUNCT fuelectenerg-3306 523 50 . . PUNCT fuelectenerg-3306 524 1 3.2 3.2 NUM fuelectenerg-3306 524 2 horizontal horizontal NOUN fuelectenerg-3306 524 3 subset subset NOUN fuelectenerg-3306 524 4 in in ADP fuelectenerg-3306 524 5 definition definition NOUN fuelectenerg-3306 524 6 of of ADP fuelectenerg-3306 524 7 this this DET fuelectenerg-3306 524 8 subset subset NOUN fuelectenerg-3306 524 9 , , PUNCT fuelectenerg-3306 524 10 we we PRON fuelectenerg-3306 524 11 take take VERB fuelectenerg-3306 524 12 into into ADP fuelectenerg-3306 524 13 account account NOUN fuelectenerg-3306 524 14 the the DET fuelectenerg-3306 524 15 order order NOUN fuelectenerg-3306 524 16 of of ADP fuelectenerg-3306 524 17 the the DET fuelectenerg-3306 524 18 rm rm PROPN fuelectenerg-3306 524 19 coefficients coefficient NOUN fuelectenerg-3306 524 20 . . PUNCT fuelectenerg-3306 525 1 if if SCONJ fuelectenerg-3306 525 2 we we PRON fuelectenerg-3306 525 3 fix fix VERB fuelectenerg-3306 525 4 the the DET fuelectenerg-3306 525 5 order order NOUN fuelectenerg-3306 525 6 of of ADP fuelectenerg-3306 525 7 rm rm PROPN fuelectenerg-3306 525 8 coefficients coefficient NOUN fuelectenerg-3306 525 9 , , PUNCT fuelectenerg-3306 525 10 then then ADV fuelectenerg-3306 525 11 we we PRON fuelectenerg-3306 525 12 know know VERB fuelectenerg-3306 525 13 the the DET fuelectenerg-3306 525 14 positions position NOUN fuelectenerg-3306 525 15 of of ADP fuelectenerg-3306 525 16 coefficients coefficient NOUN fuelectenerg-3306 525 17 that that PRON fuelectenerg-3306 525 18 have have VERB fuelectenerg-3306 525 19 to to PART fuelectenerg-3306 525 20 be be AUX fuelectenerg-3306 525 21 0 0 NUM fuelectenerg-3306 525 22 in in ADP fuelectenerg-3306 525 23 the the DET fuelectenerg-3306 525 24 rm rm PROPN fuelectenerg-3306 525 25 spectrum spectrum NOUN fuelectenerg-3306 525 26 of of ADP fuelectenerg-3306 525 27 a a DET fuelectenerg-3306 525 28 bent bent ADJ fuelectenerg-3306 525 29 function function NOUN fuelectenerg-3306 525 30 , , PUNCT fuelectenerg-3306 525 31 due due ADP fuelectenerg-3306 525 32 to to ADP fuelectenerg-3306 525 33 this this DET fuelectenerg-3306 525 34 restriction restriction NOUN fuelectenerg-3306 525 35 related relate VERB fuelectenerg-3306 525 36 to to ADP fuelectenerg-3306 525 37 the the DET fuelectenerg-3306 525 38 order order NOUN fuelectenerg-3306 525 39 of of ADP fuelectenerg-3306 525 40 nonlinearity nonlinearity NOUN fuelectenerg-3306 525 41 . . PUNCT fuelectenerg-3306 526 1 all all DET fuelectenerg-3306 526 2 other other ADJ fuelectenerg-3306 526 3 coefficients coefficient NOUN fuelectenerg-3306 526 4 can can AUX fuelectenerg-3306 526 5 be be AUX fuelectenerg-3306 526 6 either either CCONJ fuelectenerg-3306 526 7 0 0 NUM fuelectenerg-3306 526 8 or or CCONJ fuelectenerg-3306 526 9 1 1 NUM fuelectenerg-3306 526 10 . . PUNCT fuelectenerg-3306 527 1 as as SCONJ fuelectenerg-3306 527 2 noticed notice VERB fuelectenerg-3306 527 3 above above ADV fuelectenerg-3306 527 4 , , PUNCT fuelectenerg-3306 527 5 in in ADP fuelectenerg-3306 527 6 this this DET fuelectenerg-3306 527 7 paper paper NOUN fuelectenerg-3306 527 8 , , PUNCT fuelectenerg-3306 527 9 we we PRON fuelectenerg-3306 527 10 use use VERB fuelectenerg-3306 527 11 the the DET fuelectenerg-3306 527 12 so so ADV fuelectenerg-3306 527 13 - - PUNCT fuelectenerg-3306 527 14 called call VERB fuelectenerg-3306 527 15 hadamard hadamard ADJ fuelectenerg-3306 527 16 ordering ordering NOUN fuelectenerg-3306 527 17 of of ADP fuelectenerg-3306 527 18 rm rm PROPN fuelectenerg-3306 527 19 coefficients coefficient NOUN fuelectenerg-3306 527 20 originating originate VERB fuelectenerg-3306 527 21 in in ADP fuelectenerg-3306 527 22 the the DET fuelectenerg-3306 527 23 kronecker kronecker NOUN fuelectenerg-3306 527 24 product product NOUN fuelectenerg-3306 527 25 structure structure NOUN fuelectenerg-3306 527 26 of of ADP fuelectenerg-3306 527 27 the the DET fuelectenerg-3306 527 28 reed reed NOUN fuelectenerg-3306 527 29 - - PUNCT fuelectenerg-3306 527 30 muller muller NOUN fuelectenerg-3306 527 31 matrix matrix NOUN fuelectenerg-3306 527 32 in in ADP fuelectenerg-3306 527 33 ( ( PUNCT fuelectenerg-3306 527 34 4 4 NUM fuelectenerg-3306 527 35 ) ) PUNCT fuelectenerg-3306 527 36 . . PUNCT fuelectenerg-3306 528 1 in in ADP fuelectenerg-3306 528 2 this this DET fuelectenerg-3306 528 3 ordering ordering NOUN fuelectenerg-3306 528 4 , , PUNCT fuelectenerg-3306 528 5 for for ADP fuelectenerg-3306 528 6 a a DET fuelectenerg-3306 528 7 given give VERB fuelectenerg-3306 528 8 n n CCONJ fuelectenerg-3306 528 9 , , PUNCT fuelectenerg-3306 528 10 we we PRON fuelectenerg-3306 528 11 can can AUX fuelectenerg-3306 528 12 determine determine VERB fuelectenerg-3306 528 13 positions position NOUN fuelectenerg-3306 528 14 of of ADP fuelectenerg-3306 528 15 coefficients coefficient NOUN fuelectenerg-3306 528 16 which which PRON fuelectenerg-3306 528 17 can can AUX fuelectenerg-3306 528 18 not not PART fuelectenerg-3306 528 19 be be AUX fuelectenerg-3306 528 20 1 1 NUM fuelectenerg-3306 528 21 by by ADP fuelectenerg-3306 528 22 referring refer VERB fuelectenerg-3306 528 23 to to ADP fuelectenerg-3306 528 24 ( ( PUNCT fuelectenerg-3306 528 25 7 7 NUM fuelectenerg-3306 528 26 ) ) PUNCT fuelectenerg-3306 528 27 . . PUNCT fuelectenerg-3306 529 1 example example NOUN fuelectenerg-3306 529 2 4 4 NUM fuelectenerg-3306 529 3 for for ADP fuelectenerg-3306 529 4 a a DET fuelectenerg-3306 529 5 bent bent ADJ fuelectenerg-3306 529 6 function function NOUN fuelectenerg-3306 529 7 of of ADP fuelectenerg-3306 529 8 four four NUM fuelectenerg-3306 529 9 variables variable NOUN fuelectenerg-3306 530 1 , , PUNCT fuelectenerg-3306 530 2 the the DET fuelectenerg-3306 530 3 rm rm PROPN fuelectenerg-3306 530 4 spectrum spectrum NOUN fuelectenerg-3306 530 5 can can AUX fuelectenerg-3306 530 6 be be AUX fuelectenerg-3306 530 7 represented represent VERB fuelectenerg-3306 530 8 by by ADP fuelectenerg-3306 530 9 sf sf NOUN fuelectenerg-3306 530 10 = = PUNCT fuelectenerg-3306 531 1 [ [ X fuelectenerg-3306 531 2 −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t X fuelectenerg-3306 531 3 , , PUNCT fuelectenerg-3306 531 4 where where SCONJ fuelectenerg-3306 531 5 the the DET fuelectenerg-3306 531 6 possible possible ADJ fuelectenerg-3306 531 7 positions position NOUN fuelectenerg-3306 531 8 of of ADP fuelectenerg-3306 531 9 the the DET fuelectenerg-3306 531 10 non non ADJ fuelectenerg-3306 531 11 - - ADJ fuelectenerg-3306 531 12 zero zero NUM fuelectenerg-3306 531 13 coefficients coefficient NOUN fuelectenerg-3306 531 14 are be AUX fuelectenerg-3306 531 15 denoted denote VERB fuelectenerg-3306 531 16 by by ADP fuelectenerg-3306 531 17 dash dash NOUN fuelectenerg-3306 531 18 lines line NOUN fuelectenerg-3306 531 19 and and CCONJ fuelectenerg-3306 531 20 the the DET fuelectenerg-3306 531 21 restricted restricted ADJ fuelectenerg-3306 531 22 positions position NOUN fuelectenerg-3306 531 23 are be AUX fuelectenerg-3306 531 24 denoted denote VERB fuelectenerg-3306 531 25 with with ADP fuelectenerg-3306 531 26 ×. ×. NUM fuelectenerg-3306 531 27 definition definition NOUN fuelectenerg-3306 531 28 6 6 NUM fuelectenerg-3306 531 29 a a DET fuelectenerg-3306 531 30 bent bent ADJ fuelectenerg-3306 531 31 function function NOUN fuelectenerg-3306 531 32 belongs belong VERB fuelectenerg-3306 531 33 to to ADP fuelectenerg-3306 531 34 the the DET fuelectenerg-3306 531 35 horizontal horizontal ADJ fuelectenerg-3306 531 36 ( ( PUNCT fuelectenerg-3306 531 37 kmin kmin NOUN fuelectenerg-3306 531 38 , , PUNCT fuelectenerg-3306 531 39 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 531 40 h(kmin h(kmin NOUN fuelectenerg-3306 531 41 , , PUNCT fuelectenerg-3306 531 42 kmax kmax PROPN fuelectenerg-3306 531 43 ) ) PUNCT fuelectenerg-3306 531 44 iff iff NOUN fuelectenerg-3306 531 45 it it PRON fuelectenerg-3306 531 46 has have VERB fuelectenerg-3306 531 47 the the DET fuelectenerg-3306 531 48 minimum minimum ADJ fuelectenerg-3306 531 49 kmin kmin NOUN fuelectenerg-3306 531 50 and and CCONJ fuelectenerg-3306 531 51 the the DET fuelectenerg-3306 531 52 maximum maximum ADJ fuelectenerg-3306 531 53 kmax kmax PROPN fuelectenerg-3306 531 54 order order NOUN fuelectenerg-3306 531 55 of of ADP fuelectenerg-3306 531 56 rm rm PROPN fuelectenerg-3306 531 57 coefficients coefficient NOUN fuelectenerg-3306 531 58 . . PUNCT fuelectenerg-3306 532 1 h h PROPN fuelectenerg-3306 532 2 subsets subset NOUN fuelectenerg-3306 532 3 involve involve VERB fuelectenerg-3306 532 4 the the DET fuelectenerg-3306 532 5 application application NOUN fuelectenerg-3306 532 6 of of ADP fuelectenerg-3306 532 7 ranges range NOUN fuelectenerg-3306 532 8 of of ADP fuelectenerg-3306 532 9 possible possible ADJ fuelectenerg-3306 532 10 non non ADJ fuelectenerg-3306 532 11 - - ADJ fuelectenerg-3306 532 12 zero zero NUM fuelectenerg-3306 532 13 rm rm NOUN fuelectenerg-3306 532 14 spectrum spectrum NOUN fuelectenerg-3306 532 15 coefficients coefficient NOUN fuelectenerg-3306 532 16 orders order NOUN fuelectenerg-3306 532 17 . . PUNCT fuelectenerg-3306 533 1 the the DET fuelectenerg-3306 533 2 number number NOUN fuelectenerg-3306 533 3 of of ADP fuelectenerg-3306 533 4 h h NOUN fuelectenerg-3306 533 5 subsets subset NOUN fuelectenerg-3306 533 6 also also ADV fuelectenerg-3306 533 7 depends depend VERB fuelectenerg-3306 533 8 of of ADP fuelectenerg-3306 533 9 the the DET fuelectenerg-3306 533 10 number number NOUN fuelectenerg-3306 533 11 of of ADP fuelectenerg-3306 533 12 variables variable NOUN fuelectenerg-3306 533 13 of of ADP fuelectenerg-3306 533 14 the the DET fuelectenerg-3306 533 15 bent bent ADJ fuelectenerg-3306 533 16 functions function NOUN fuelectenerg-3306 533 17 . . PUNCT fuelectenerg-3306 534 1 example example NOUN fuelectenerg-3306 534 2 5 5 NUM fuelectenerg-3306 534 3 the the DET fuelectenerg-3306 534 4 maximal maximal ADJ fuelectenerg-3306 534 5 order order NOUN fuelectenerg-3306 534 6 of of ADP fuelectenerg-3306 534 7 non non ADJ fuelectenerg-3306 534 8 - - ADJ fuelectenerg-3306 534 9 zero zero ADJ fuelectenerg-3306 534 10 spectral spectral ADJ fuelectenerg-3306 534 11 coefficients coefficient NOUN fuelectenerg-3306 534 12 of of ADP fuelectenerg-3306 534 13 bent bent ADJ fuelectenerg-3306 534 14 functions function NOUN fuelectenerg-3306 534 15 with with ADP fuelectenerg-3306 534 16 4 4 NUM fuelectenerg-3306 534 17 variables variable NOUN fuelectenerg-3306 534 18 is be AUX fuelectenerg-3306 534 19 2 2 NUM fuelectenerg-3306 534 20 . . PUNCT fuelectenerg-3306 535 1 hence hence ADV fuelectenerg-3306 535 2 , , PUNCT fuelectenerg-3306 535 3 there there PRON fuelectenerg-3306 535 4 are be VERB fuelectenerg-3306 535 5 3 3 NUM fuelectenerg-3306 535 6 possible possible ADJ fuelectenerg-3306 535 7 h h NOUN fuelectenerg-3306 535 8 subsets subset NOUN fuelectenerg-3306 535 9 h(0 h(0 PROPN fuelectenerg-3306 535 10 , , PUNCT fuelectenerg-3306 535 11 2 2 NUM fuelectenerg-3306 535 12 ) ) PUNCT fuelectenerg-3306 535 13 , , PUNCT fuelectenerg-3306 535 14 212 212 NUM fuelectenerg-3306 535 15 m. m. NOUN fuelectenerg-3306 535 16 radmanović radmanović NOUN fuelectenerg-3306 535 17 , , PUNCT fuelectenerg-3306 535 18 r. r. PROPN fuelectenerg-3306 535 19 s. s. PROPN fuelectenerg-3306 535 20 stanković stanković PROPN fuelectenerg-3306 535 21 construction construction NOUN fuelectenerg-3306 535 22 of of ADP fuelectenerg-3306 535 23 subsets subset NOUN fuelectenerg-3306 535 24 of of ADP fuelectenerg-3306 535 25 bent bent ADJ fuelectenerg-3306 535 26 functions function NOUN fuelectenerg-3306 535 27 satisfying satisfy VERB fuelectenerg-3306 535 28 restrictions restriction NOUN fuelectenerg-3306 535 29 ... ... PUNCT fuelectenerg-3306 535 30 213 213 NUM fuelectenerg-3306 535 31 8 8 NUM fuelectenerg-3306 535 32 m. m. NOUN fuelectenerg-3306 535 33 radmanović radmanović NOUN fuelectenerg-3306 535 34 and and CCONJ fuelectenerg-3306 535 35 r. r. PROPN fuelectenerg-3306 535 36 stanković stanković PROPN fuelectenerg-3306 535 37 11 11 NUM fuelectenerg-3306 535 38 possible possible ADJ fuelectenerg-3306 535 39 v v ADP fuelectenerg-3306 535 40 subsets subset NOUN fuelectenerg-3306 535 41 for for ADP fuelectenerg-3306 535 42 bent bent ADJ fuelectenerg-3306 535 43 function function NOUN fuelectenerg-3306 535 44 with with ADP fuelectenerg-3306 535 45 4 4 NUM fuelectenerg-3306 535 46 variables variable NOUN fuelectenerg-3306 535 47 . . PUNCT fuelectenerg-3306 536 1 the the DET fuelectenerg-3306 536 2 v v NOUN fuelectenerg-3306 536 3 ( ( PUNCT fuelectenerg-3306 536 4 1 1 NUM fuelectenerg-3306 536 5 ) ) PUNCT fuelectenerg-3306 536 6 subset subset NOUN fuelectenerg-3306 536 7 is be AUX fuelectenerg-3306 536 8 the the DET fuelectenerg-3306 536 9 subset subset NOUN fuelectenerg-3306 536 10 of of ADP fuelectenerg-3306 536 11 bent bent ADJ fuelectenerg-3306 536 12 functions function NOUN fuelectenerg-3306 536 13 having have VERB fuelectenerg-3306 536 14 the the DET fuelectenerg-3306 536 15 rm rm NOUN fuelectenerg-3306 536 16 spectrum spectrum VERB fuelectenerg-3306 536 17 with with ADP fuelectenerg-3306 536 18 1 1 NUM fuelectenerg-3306 536 19 non non ADJ fuelectenerg-3306 536 20 - - ADJ fuelectenerg-3306 536 21 zero zero NUM fuelectenerg-3306 536 22 rm rm NOUN fuelectenerg-3306 536 23 coefficient coefficient NOUN fuelectenerg-3306 536 24 , , PUNCT fuelectenerg-3306 536 25 the the DET fuelectenerg-3306 536 26 v v NOUN fuelectenerg-3306 536 27 ( ( PUNCT fuelectenerg-3306 536 28 2 2 NUM fuelectenerg-3306 536 29 ) ) PUNCT fuelectenerg-3306 536 30 subset subset NOUN fuelectenerg-3306 536 31 is be AUX fuelectenerg-3306 536 32 the the DET fuelectenerg-3306 536 33 subset subset NOUN fuelectenerg-3306 536 34 having have VERB fuelectenerg-3306 536 35 2 2 NUM fuelectenerg-3306 536 36 non non ADJ fuelectenerg-3306 536 37 - - ADJ fuelectenerg-3306 536 38 zero zero NUM fuelectenerg-3306 536 39 rm rm NOUN fuelectenerg-3306 536 40 coefficients coefficient NOUN fuelectenerg-3306 536 41 , , PUNCT fuelectenerg-3306 536 42 and and CCONJ fuelectenerg-3306 536 43 etc etc X fuelectenerg-3306 536 44 . . X fuelectenerg-3306 537 1 there there PRON fuelectenerg-3306 537 2 are be VERB fuelectenerg-3306 537 3 42 42 NUM fuelectenerg-3306 537 4 possible possible ADJ fuelectenerg-3306 537 5 v v ADP fuelectenerg-3306 537 6 subsets subset NOUN fuelectenerg-3306 537 7 for for ADP fuelectenerg-3306 537 8 bent bent ADJ fuelectenerg-3306 537 9 functions function NOUN fuelectenerg-3306 537 10 with with ADP fuelectenerg-3306 537 11 6 6 NUM fuelectenerg-3306 537 12 variables variable NOUN fuelectenerg-3306 537 13 , , PUNCT fuelectenerg-3306 537 14 and and CCONJ fuelectenerg-3306 537 15 163 163 NUM fuelectenerg-3306 537 16 possible possible ADJ fuelectenerg-3306 537 17 v v ADP fuelectenerg-3306 537 18 subsets subset NOUN fuelectenerg-3306 537 19 for for ADP fuelectenerg-3306 537 20 bent bent ADJ fuelectenerg-3306 537 21 functions function NOUN fuelectenerg-3306 537 22 with with ADP fuelectenerg-3306 537 23 8 8 NUM fuelectenerg-3306 537 24 variables variable NOUN fuelectenerg-3306 537 25 . . PUNCT fuelectenerg-3306 538 1 example example NOUN fuelectenerg-3306 538 2 3 3 NUM fuelectenerg-3306 538 3 two two NUM fuelectenerg-3306 538 4 bent bent ADJ fuelectenerg-3306 538 5 functions function NOUN fuelectenerg-3306 538 6 of of ADP fuelectenerg-3306 538 7 4 4 NUM fuelectenerg-3306 538 8 variables variable NOUN fuelectenerg-3306 538 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 538 10 , , PUNCT fuelectenerg-3306 538 11 x2 x2 PROPN fuelectenerg-3306 538 12 , , PUNCT fuelectenerg-3306 538 13 x3 x3 ADJ fuelectenerg-3306 538 14 , , PUNCT fuelectenerg-3306 538 15 x4 x4 PROPN fuelectenerg-3306 538 16 ) ) PUNCT fuelectenerg-3306 538 17 = = SYM fuelectenerg-3306 538 18 1⊕x1x2⊕ 1⊕x1x2⊕ NOUN fuelectenerg-3306 538 19 x3x4 x3x4 PROPN fuelectenerg-3306 538 20 , , PUNCT fuelectenerg-3306 538 21 and and CCONJ fuelectenerg-3306 538 22 f2(x1 f2(x1 ADJ fuelectenerg-3306 538 23 , , PUNCT fuelectenerg-3306 538 24 x2 x2 PROPN fuelectenerg-3306 538 25 , , PUNCT fuelectenerg-3306 538 26 x3 x3 ADJ fuelectenerg-3306 538 27 , , PUNCT fuelectenerg-3306 538 28 x4 x4 PROPN fuelectenerg-3306 538 29 ) ) PUNCT fuelectenerg-3306 538 30 = = PUNCT fuelectenerg-3306 538 31 x4⊕x1x2⊕x3x4 x4⊕x1x2⊕x3x4 X fuelectenerg-3306 538 32 have have VERB fuelectenerg-3306 538 33 3 3 NUM fuelectenerg-3306 538 34 non non ADJ fuelectenerg-3306 538 35 - - ADJ fuelectenerg-3306 538 36 zero zero NUM fuelectenerg-3306 538 37 rm rm NOUN fuelectenerg-3306 538 38 - - PUNCT fuelectenerg-3306 538 39 coefficients coefficient NOUN fuelectenerg-3306 538 40 and and CCONJ fuelectenerg-3306 538 41 belong belong VERB fuelectenerg-3306 538 42 to to ADP fuelectenerg-3306 538 43 the the DET fuelectenerg-3306 538 44 same same ADJ fuelectenerg-3306 538 45 subset subset NOUN fuelectenerg-3306 538 46 v v NOUN fuelectenerg-3306 538 47 ( ( PUNCT fuelectenerg-3306 538 48 3 3 NUM fuelectenerg-3306 538 49 ) ) PUNCT fuelectenerg-3306 538 50 . . PUNCT fuelectenerg-3306 539 1 3.2 3.2 NUM fuelectenerg-3306 539 2 horizontal horizontal NOUN fuelectenerg-3306 539 3 subset subset NOUN fuelectenerg-3306 539 4 in in ADP fuelectenerg-3306 539 5 definition definition NOUN fuelectenerg-3306 539 6 of of ADP fuelectenerg-3306 539 7 this this DET fuelectenerg-3306 539 8 subset subset NOUN fuelectenerg-3306 539 9 , , PUNCT fuelectenerg-3306 539 10 we we PRON fuelectenerg-3306 539 11 take take VERB fuelectenerg-3306 539 12 into into ADP fuelectenerg-3306 539 13 account account NOUN fuelectenerg-3306 539 14 the the DET fuelectenerg-3306 539 15 order order NOUN fuelectenerg-3306 539 16 of of ADP fuelectenerg-3306 539 17 the the DET fuelectenerg-3306 539 18 rm rm PROPN fuelectenerg-3306 539 19 coefficients coefficient NOUN fuelectenerg-3306 539 20 . . PUNCT fuelectenerg-3306 540 1 if if SCONJ fuelectenerg-3306 540 2 we we PRON fuelectenerg-3306 540 3 fix fix VERB fuelectenerg-3306 540 4 the the DET fuelectenerg-3306 540 5 order order NOUN fuelectenerg-3306 540 6 of of ADP fuelectenerg-3306 540 7 rm rm PROPN fuelectenerg-3306 540 8 coefficients coefficient NOUN fuelectenerg-3306 540 9 , , PUNCT fuelectenerg-3306 540 10 then then ADV fuelectenerg-3306 540 11 we we PRON fuelectenerg-3306 540 12 know know VERB fuelectenerg-3306 540 13 the the DET fuelectenerg-3306 540 14 positions position NOUN fuelectenerg-3306 540 15 of of ADP fuelectenerg-3306 540 16 coefficients coefficient NOUN fuelectenerg-3306 540 17 that that PRON fuelectenerg-3306 540 18 have have VERB fuelectenerg-3306 540 19 to to PART fuelectenerg-3306 540 20 be be AUX fuelectenerg-3306 540 21 0 0 NUM fuelectenerg-3306 540 22 in in ADP fuelectenerg-3306 540 23 the the DET fuelectenerg-3306 540 24 rm rm PROPN fuelectenerg-3306 540 25 spectrum spectrum NOUN fuelectenerg-3306 540 26 of of ADP fuelectenerg-3306 540 27 a a DET fuelectenerg-3306 540 28 bent bent ADJ fuelectenerg-3306 540 29 function function NOUN fuelectenerg-3306 540 30 , , PUNCT fuelectenerg-3306 540 31 due due ADP fuelectenerg-3306 540 32 to to ADP fuelectenerg-3306 540 33 this this DET fuelectenerg-3306 540 34 restriction restriction NOUN fuelectenerg-3306 540 35 related relate VERB fuelectenerg-3306 540 36 to to ADP fuelectenerg-3306 540 37 the the DET fuelectenerg-3306 540 38 order order NOUN fuelectenerg-3306 540 39 of of ADP fuelectenerg-3306 540 40 nonlinearity nonlinearity NOUN fuelectenerg-3306 540 41 . . PUNCT fuelectenerg-3306 541 1 all all DET fuelectenerg-3306 541 2 other other ADJ fuelectenerg-3306 541 3 coefficients coefficient NOUN fuelectenerg-3306 541 4 can can AUX fuelectenerg-3306 541 5 be be AUX fuelectenerg-3306 541 6 either either CCONJ fuelectenerg-3306 541 7 0 0 NUM fuelectenerg-3306 541 8 or or CCONJ fuelectenerg-3306 541 9 1 1 NUM fuelectenerg-3306 541 10 . . PUNCT fuelectenerg-3306 542 1 as as SCONJ fuelectenerg-3306 542 2 noticed notice VERB fuelectenerg-3306 542 3 above above ADV fuelectenerg-3306 542 4 , , PUNCT fuelectenerg-3306 542 5 in in ADP fuelectenerg-3306 542 6 this this DET fuelectenerg-3306 542 7 paper paper NOUN fuelectenerg-3306 542 8 , , PUNCT fuelectenerg-3306 542 9 we we PRON fuelectenerg-3306 542 10 use use VERB fuelectenerg-3306 542 11 the the DET fuelectenerg-3306 542 12 so so ADV fuelectenerg-3306 542 13 - - PUNCT fuelectenerg-3306 542 14 called call VERB fuelectenerg-3306 542 15 hadamard hadamard ADJ fuelectenerg-3306 542 16 ordering ordering NOUN fuelectenerg-3306 542 17 of of ADP fuelectenerg-3306 542 18 rm rm PROPN fuelectenerg-3306 542 19 coefficients coefficient NOUN fuelectenerg-3306 542 20 originating originate VERB fuelectenerg-3306 542 21 in in ADP fuelectenerg-3306 542 22 the the DET fuelectenerg-3306 542 23 kronecker kronecker NOUN fuelectenerg-3306 542 24 product product NOUN fuelectenerg-3306 542 25 structure structure NOUN fuelectenerg-3306 542 26 of of ADP fuelectenerg-3306 542 27 the the DET fuelectenerg-3306 542 28 reed reed NOUN fuelectenerg-3306 542 29 - - PUNCT fuelectenerg-3306 542 30 muller muller NOUN fuelectenerg-3306 542 31 matrix matrix NOUN fuelectenerg-3306 542 32 in in ADP fuelectenerg-3306 542 33 ( ( PUNCT fuelectenerg-3306 542 34 4 4 NUM fuelectenerg-3306 542 35 ) ) PUNCT fuelectenerg-3306 542 36 . . PUNCT fuelectenerg-3306 543 1 in in ADP fuelectenerg-3306 543 2 this this DET fuelectenerg-3306 543 3 ordering ordering NOUN fuelectenerg-3306 543 4 , , PUNCT fuelectenerg-3306 543 5 for for ADP fuelectenerg-3306 543 6 a a DET fuelectenerg-3306 543 7 given give VERB fuelectenerg-3306 543 8 n n CCONJ fuelectenerg-3306 543 9 , , PUNCT fuelectenerg-3306 543 10 we we PRON fuelectenerg-3306 543 11 can can AUX fuelectenerg-3306 543 12 determine determine VERB fuelectenerg-3306 543 13 positions position NOUN fuelectenerg-3306 543 14 of of ADP fuelectenerg-3306 543 15 coefficients coefficient NOUN fuelectenerg-3306 543 16 which which PRON fuelectenerg-3306 543 17 can can AUX fuelectenerg-3306 543 18 not not PART fuelectenerg-3306 543 19 be be AUX fuelectenerg-3306 543 20 1 1 NUM fuelectenerg-3306 543 21 by by ADP fuelectenerg-3306 543 22 referring refer VERB fuelectenerg-3306 543 23 to to ADP fuelectenerg-3306 543 24 ( ( PUNCT fuelectenerg-3306 543 25 7 7 NUM fuelectenerg-3306 543 26 ) ) PUNCT fuelectenerg-3306 543 27 . . PUNCT fuelectenerg-3306 544 1 example example NOUN fuelectenerg-3306 544 2 4 4 NUM fuelectenerg-3306 544 3 for for ADP fuelectenerg-3306 544 4 a a DET fuelectenerg-3306 544 5 bent bent ADJ fuelectenerg-3306 544 6 function function NOUN fuelectenerg-3306 544 7 of of ADP fuelectenerg-3306 544 8 four four NUM fuelectenerg-3306 544 9 variables variable NOUN fuelectenerg-3306 545 1 , , PUNCT fuelectenerg-3306 545 2 the the DET fuelectenerg-3306 545 3 rm rm PROPN fuelectenerg-3306 545 4 spectrum spectrum NOUN fuelectenerg-3306 545 5 can can AUX fuelectenerg-3306 545 6 be be AUX fuelectenerg-3306 545 7 represented represent VERB fuelectenerg-3306 545 8 by by ADP fuelectenerg-3306 545 9 sf sf NOUN fuelectenerg-3306 545 10 = = PUNCT fuelectenerg-3306 546 1 [ [ X fuelectenerg-3306 546 2 −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t X fuelectenerg-3306 546 3 , , PUNCT fuelectenerg-3306 546 4 where where SCONJ fuelectenerg-3306 546 5 the the DET fuelectenerg-3306 546 6 possible possible ADJ fuelectenerg-3306 546 7 positions position NOUN fuelectenerg-3306 546 8 of of ADP fuelectenerg-3306 546 9 the the DET fuelectenerg-3306 546 10 non non ADJ fuelectenerg-3306 546 11 - - ADJ fuelectenerg-3306 546 12 zero zero NUM fuelectenerg-3306 546 13 coefficients coefficient NOUN fuelectenerg-3306 546 14 are be AUX fuelectenerg-3306 546 15 denoted denote VERB fuelectenerg-3306 546 16 by by ADP fuelectenerg-3306 546 17 dash dash NOUN fuelectenerg-3306 546 18 lines line NOUN fuelectenerg-3306 546 19 and and CCONJ fuelectenerg-3306 546 20 the the DET fuelectenerg-3306 546 21 restricted restricted ADJ fuelectenerg-3306 546 22 positions position NOUN fuelectenerg-3306 546 23 are be AUX fuelectenerg-3306 546 24 denoted denote VERB fuelectenerg-3306 546 25 with with ADP fuelectenerg-3306 546 26 ×. ×. NUM fuelectenerg-3306 546 27 definition definition NOUN fuelectenerg-3306 546 28 6 6 NUM fuelectenerg-3306 546 29 a a DET fuelectenerg-3306 546 30 bent bent ADJ fuelectenerg-3306 546 31 function function NOUN fuelectenerg-3306 546 32 belongs belong VERB fuelectenerg-3306 546 33 to to ADP fuelectenerg-3306 546 34 the the DET fuelectenerg-3306 546 35 horizontal horizontal ADJ fuelectenerg-3306 546 36 ( ( PUNCT fuelectenerg-3306 546 37 kmin kmin NOUN fuelectenerg-3306 546 38 , , PUNCT fuelectenerg-3306 546 39 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 546 40 h(kmin h(kmin NOUN fuelectenerg-3306 546 41 , , PUNCT fuelectenerg-3306 546 42 kmax kmax PROPN fuelectenerg-3306 546 43 ) ) PUNCT fuelectenerg-3306 546 44 iff iff NOUN fuelectenerg-3306 546 45 it it PRON fuelectenerg-3306 546 46 has have VERB fuelectenerg-3306 546 47 the the DET fuelectenerg-3306 546 48 minimum minimum ADJ fuelectenerg-3306 546 49 kmin kmin NOUN fuelectenerg-3306 546 50 and and CCONJ fuelectenerg-3306 546 51 the the DET fuelectenerg-3306 546 52 maximum maximum ADJ fuelectenerg-3306 546 53 kmax kmax PROPN fuelectenerg-3306 546 54 order order NOUN fuelectenerg-3306 546 55 of of ADP fuelectenerg-3306 546 56 rm rm PROPN fuelectenerg-3306 546 57 coefficients coefficient NOUN fuelectenerg-3306 546 58 . . PUNCT fuelectenerg-3306 547 1 h h PROPN fuelectenerg-3306 547 2 subsets subset NOUN fuelectenerg-3306 547 3 involve involve VERB fuelectenerg-3306 547 4 the the DET fuelectenerg-3306 547 5 application application NOUN fuelectenerg-3306 547 6 of of ADP fuelectenerg-3306 547 7 ranges range NOUN fuelectenerg-3306 547 8 of of ADP fuelectenerg-3306 547 9 possible possible ADJ fuelectenerg-3306 547 10 non non ADJ fuelectenerg-3306 547 11 - - ADJ fuelectenerg-3306 547 12 zero zero NUM fuelectenerg-3306 547 13 rm rm NOUN fuelectenerg-3306 547 14 spectrum spectrum NOUN fuelectenerg-3306 547 15 coefficients coefficient NOUN fuelectenerg-3306 547 16 orders order NOUN fuelectenerg-3306 547 17 . . PUNCT fuelectenerg-3306 548 1 the the DET fuelectenerg-3306 548 2 number number NOUN fuelectenerg-3306 548 3 of of ADP fuelectenerg-3306 548 4 h h NOUN fuelectenerg-3306 548 5 subsets subset NOUN fuelectenerg-3306 548 6 also also ADV fuelectenerg-3306 548 7 depends depend VERB fuelectenerg-3306 548 8 of of ADP fuelectenerg-3306 548 9 the the DET fuelectenerg-3306 548 10 number number NOUN fuelectenerg-3306 548 11 of of ADP fuelectenerg-3306 548 12 variables variable NOUN fuelectenerg-3306 548 13 of of ADP fuelectenerg-3306 548 14 the the DET fuelectenerg-3306 548 15 bent bent ADJ fuelectenerg-3306 548 16 functions function NOUN fuelectenerg-3306 548 17 . . PUNCT fuelectenerg-3306 549 1 example example NOUN fuelectenerg-3306 549 2 5 5 NUM fuelectenerg-3306 549 3 the the DET fuelectenerg-3306 549 4 maximal maximal ADJ fuelectenerg-3306 549 5 order order NOUN fuelectenerg-3306 549 6 of of ADP fuelectenerg-3306 549 7 non non ADJ fuelectenerg-3306 549 8 - - ADJ fuelectenerg-3306 549 9 zero zero ADJ fuelectenerg-3306 549 10 spectral spectral ADJ fuelectenerg-3306 549 11 coefficients coefficient NOUN fuelectenerg-3306 549 12 of of ADP fuelectenerg-3306 549 13 bent bent ADJ fuelectenerg-3306 549 14 functions function NOUN fuelectenerg-3306 549 15 with with ADP fuelectenerg-3306 549 16 4 4 NUM fuelectenerg-3306 549 17 variables variable NOUN fuelectenerg-3306 549 18 is be AUX fuelectenerg-3306 549 19 2 2 NUM fuelectenerg-3306 549 20 . . PUNCT fuelectenerg-3306 550 1 hence hence ADV fuelectenerg-3306 550 2 , , PUNCT fuelectenerg-3306 550 3 there there PRON fuelectenerg-3306 550 4 are be VERB fuelectenerg-3306 550 5 3 3 NUM fuelectenerg-3306 550 6 possible possible ADJ fuelectenerg-3306 550 7 h h NOUN fuelectenerg-3306 550 8 subsets subset NOUN fuelectenerg-3306 550 9 h(0 h(0 PROPN fuelectenerg-3306 550 10 , , PUNCT fuelectenerg-3306 550 11 2 2 NUM fuelectenerg-3306 550 12 ) ) PUNCT fuelectenerg-3306 550 13 , , PUNCT fuelectenerg-3306 550 14 construction construction NOUN fuelectenerg-3306 550 15 of of ADP fuelectenerg-3306 550 16 subsets subset NOUN fuelectenerg-3306 550 17 of of ADP fuelectenerg-3306 550 18 bent bent ADJ fuelectenerg-3306 550 19 functions function NOUN fuelectenerg-3306 550 20 satisfying satisfy VERB fuelectenerg-3306 550 21 restrictions restriction NOUN fuelectenerg-3306 550 22 ... ... PUNCT fuelectenerg-3306 550 23 9 9 NUM fuelectenerg-3306 550 24 h(1 h(1 NOUN fuelectenerg-3306 550 25 , , PUNCT fuelectenerg-3306 550 26 2 2 NUM fuelectenerg-3306 550 27 ) ) PUNCT fuelectenerg-3306 550 28 , , PUNCT fuelectenerg-3306 550 29 and and CCONJ fuelectenerg-3306 550 30 h(2 h(2 NOUN fuelectenerg-3306 550 31 , , PUNCT fuelectenerg-3306 550 32 2 2 NUM fuelectenerg-3306 550 33 ) ) PUNCT fuelectenerg-3306 550 34 . . PUNCT fuelectenerg-3306 551 1 there there PRON fuelectenerg-3306 551 2 are be VERB fuelectenerg-3306 551 3 h h PROPN fuelectenerg-3306 551 4 subsets subset NOUN fuelectenerg-3306 551 5 h(0 h(0 PROPN fuelectenerg-3306 551 6 , , PUNCT fuelectenerg-3306 551 7 0 0 NUM fuelectenerg-3306 551 8 ) ) PUNCT fuelectenerg-3306 551 9 , , PUNCT fuelectenerg-3306 551 10 h(0 h(0 PROPN fuelectenerg-3306 551 11 , , PUNCT fuelectenerg-3306 551 12 1 1 NUM fuelectenerg-3306 551 13 ) ) PUNCT fuelectenerg-3306 551 14 , , PUNCT fuelectenerg-3306 551 15 and and CCONJ fuelectenerg-3306 551 16 h(1 h(1 PROPN fuelectenerg-3306 551 17 , , PUNCT fuelectenerg-3306 551 18 1 1 NUM fuelectenerg-3306 551 19 ) ) PUNCT fuelectenerg-3306 551 20 , , PUNCT fuelectenerg-3306 551 21 that that PRON fuelectenerg-3306 551 22 do do AUX fuelectenerg-3306 551 23 not not PART fuelectenerg-3306 551 24 contain contain VERB fuelectenerg-3306 551 25 any any PRON fuelectenerg-3306 551 26 of of ADP fuelectenerg-3306 551 27 the the DET fuelectenerg-3306 551 28 bent bent ADJ fuelectenerg-3306 551 29 functions function NOUN fuelectenerg-3306 551 30 . . PUNCT fuelectenerg-3306 552 1 example example NOUN fuelectenerg-3306 552 2 6 6 NUM fuelectenerg-3306 552 3 for for ADP fuelectenerg-3306 552 4 bent bent ADJ fuelectenerg-3306 552 5 functions function NOUN fuelectenerg-3306 552 6 with with ADP fuelectenerg-3306 552 7 6 6 NUM fuelectenerg-3306 552 8 variables variable NOUN fuelectenerg-3306 552 9 , , PUNCT fuelectenerg-3306 552 10 there there PRON fuelectenerg-3306 552 11 are be VERB fuelectenerg-3306 552 12 10 10 NUM fuelectenerg-3306 552 13 possible possible ADJ fuelectenerg-3306 552 14 h h NOUN fuelectenerg-3306 552 15 subsets subset NOUN fuelectenerg-3306 552 16 : : PUNCT fuelectenerg-3306 553 1 h(0 h(0 NOUN fuelectenerg-3306 553 2 , , PUNCT fuelectenerg-3306 553 3 0 0 NUM fuelectenerg-3306 553 4 ) ) PUNCT fuelectenerg-3306 553 5 , , PUNCT fuelectenerg-3306 553 6 h(0 h(0 PROPN fuelectenerg-3306 553 7 , , PUNCT fuelectenerg-3306 553 8 1 1 NUM fuelectenerg-3306 553 9 ) ) PUNCT fuelectenerg-3306 553 10 , , PUNCT fuelectenerg-3306 553 11 h(0 h(0 PROPN fuelectenerg-3306 553 12 , , PUNCT fuelectenerg-3306 553 13 2 2 NUM fuelectenerg-3306 553 14 ) ) PUNCT fuelectenerg-3306 553 15 , , PUNCT fuelectenerg-3306 553 16 h(0 h(0 PROPN fuelectenerg-3306 553 17 , , PUNCT fuelectenerg-3306 553 18 3 3 NUM fuelectenerg-3306 553 19 ) ) PUNCT fuelectenerg-3306 553 20 , , PUNCT fuelectenerg-3306 553 21 h(1 h(1 PROPN fuelectenerg-3306 553 22 , , PUNCT fuelectenerg-3306 553 23 1 1 NUM fuelectenerg-3306 553 24 ) ) PUNCT fuelectenerg-3306 553 25 , , PUNCT fuelectenerg-3306 553 26 h(1 h(1 PROPN fuelectenerg-3306 553 27 , , PUNCT fuelectenerg-3306 553 28 2 2 NUM fuelectenerg-3306 553 29 ) ) PUNCT fuelectenerg-3306 553 30 , , PUNCT fuelectenerg-3306 553 31 h(1 h(1 PROPN fuelectenerg-3306 553 32 , , PUNCT fuelectenerg-3306 553 33 3 3 NUM fuelectenerg-3306 553 34 ) ) PUNCT fuelectenerg-3306 553 35 , , PUNCT fuelectenerg-3306 553 36 h(2 h(2 NOUN fuelectenerg-3306 553 37 , , PUNCT fuelectenerg-3306 553 38 2 2 NUM fuelectenerg-3306 553 39 ) ) PUNCT fuelectenerg-3306 553 40 , , PUNCT fuelectenerg-3306 553 41 h(2 h(2 NOUN fuelectenerg-3306 553 42 , , PUNCT fuelectenerg-3306 553 43 3 3 NUM fuelectenerg-3306 553 44 ) ) PUNCT fuelectenerg-3306 553 45 , , PUNCT fuelectenerg-3306 553 46 and and CCONJ fuelectenerg-3306 553 47 h(3 h(3 PROPN fuelectenerg-3306 553 48 , , PUNCT fuelectenerg-3306 553 49 3 3 NUM fuelectenerg-3306 553 50 ) ) PUNCT fuelectenerg-3306 553 51 . . PUNCT fuelectenerg-3306 554 1 some some PRON fuelectenerg-3306 554 2 of of ADP fuelectenerg-3306 554 3 subsets subset NOUN fuelectenerg-3306 554 4 also also ADV fuelectenerg-3306 554 5 do do AUX fuelectenerg-3306 554 6 not not PART fuelectenerg-3306 554 7 contain contain VERB fuelectenerg-3306 554 8 any any PRON fuelectenerg-3306 554 9 of of ADP fuelectenerg-3306 554 10 the the DET fuelectenerg-3306 554 11 bent bent ADJ fuelectenerg-3306 554 12 functions function NOUN fuelectenerg-3306 554 13 . . PUNCT fuelectenerg-3306 555 1 example example NOUN fuelectenerg-3306 555 2 7 7 NUM fuelectenerg-3306 555 3 two two NUM fuelectenerg-3306 555 4 bent bent ADJ fuelectenerg-3306 555 5 functions function NOUN fuelectenerg-3306 555 6 of of ADP fuelectenerg-3306 555 7 4 4 NUM fuelectenerg-3306 555 8 variables variable NOUN fuelectenerg-3306 555 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 555 10 , , PUNCT fuelectenerg-3306 555 11 x2 x2 PROPN fuelectenerg-3306 555 12 , , PUNCT fuelectenerg-3306 555 13 x3 x3 ADJ fuelectenerg-3306 555 14 , , PUNCT fuelectenerg-3306 555 15 x4 x4 PROPN fuelectenerg-3306 555 16 ) ) PUNCT fuelectenerg-3306 555 17 = = PUNCT fuelectenerg-3306 556 1 x1x2 x1x2 PROPN fuelectenerg-3306 556 2 ⊕ ⊕ PROPN fuelectenerg-3306 556 3 x2x4 x2x4 PUNCT fuelectenerg-3306 556 4 ⊕ ⊕ PROPN fuelectenerg-3306 556 5 x3x4 x3x4 ADP fuelectenerg-3306 556 6 , , PUNCT fuelectenerg-3306 556 7 and and CCONJ fuelectenerg-3306 556 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 556 9 , , PUNCT fuelectenerg-3306 556 10 x2 x2 PROPN fuelectenerg-3306 556 11 , , PUNCT fuelectenerg-3306 556 12 x3 x3 ADJ fuelectenerg-3306 556 13 , , PUNCT fuelectenerg-3306 556 14 x4 x4 PROPN fuelectenerg-3306 556 15 ) ) PUNCT fuelectenerg-3306 556 16 = = SYM fuelectenerg-3306 557 1 x1x3 x1x3 PROPN fuelectenerg-3306 557 2 ⊕ ⊕ PROPN fuelectenerg-3306 557 3 x2x4 x2x4 X fuelectenerg-3306 557 4 have have VERB fuelectenerg-3306 557 5 only only ADV fuelectenerg-3306 557 6 second second ADJ fuelectenerg-3306 557 7 order order NOUN fuelectenerg-3306 557 8 non non ADJ fuelectenerg-3306 557 9 - - ADJ fuelectenerg-3306 557 10 zero zero NUM fuelectenerg-3306 557 11 rm rm NOUN fuelectenerg-3306 557 12 - - PUNCT fuelectenerg-3306 557 13 coefficients coefficient NOUN fuelectenerg-3306 557 14 and and CCONJ fuelectenerg-3306 557 15 belong belong VERB fuelectenerg-3306 557 16 to to ADP fuelectenerg-3306 557 17 the the DET fuelectenerg-3306 557 18 same same ADJ fuelectenerg-3306 557 19 subset subset NOUN fuelectenerg-3306 557 20 h(2 h(2 NOUN fuelectenerg-3306 557 21 , , PUNCT fuelectenerg-3306 557 22 2 2 NUM fuelectenerg-3306 557 23 ) ) PUNCT fuelectenerg-3306 557 24 . . PUNCT fuelectenerg-3306 558 1 3.3 3.3 NUM fuelectenerg-3306 558 2 grid grid NOUN fuelectenerg-3306 558 3 subset subset NOUN fuelectenerg-3306 558 4 in in ADP fuelectenerg-3306 558 5 definition definition NOUN fuelectenerg-3306 558 6 of of ADP fuelectenerg-3306 558 7 this this DET fuelectenerg-3306 558 8 subset subset NOUN fuelectenerg-3306 558 9 , , PUNCT fuelectenerg-3306 558 10 we we PRON fuelectenerg-3306 558 11 take take VERB fuelectenerg-3306 558 12 into into ADP fuelectenerg-3306 558 13 account account NOUN fuelectenerg-3306 558 14 both both PRON fuelectenerg-3306 558 15 , , PUNCT fuelectenerg-3306 558 16 the the DET fuelectenerg-3306 558 17 orders order NOUN fuelectenerg-3306 558 18 and and CCONJ fuelectenerg-3306 558 19 the the DET fuelectenerg-3306 558 20 number number NOUN fuelectenerg-3306 558 21 of of ADP fuelectenerg-3306 558 22 the the DET fuelectenerg-3306 558 23 coefficients coefficient NOUN fuelectenerg-3306 558 24 . . PUNCT fuelectenerg-3306 559 1 definition definition NOUN fuelectenerg-3306 559 2 7 7 NUM fuelectenerg-3306 559 3 a a DET fuelectenerg-3306 559 4 bent bent ADJ fuelectenerg-3306 559 5 function function NOUN fuelectenerg-3306 559 6 belongs belong VERB fuelectenerg-3306 559 7 to to ADP fuelectenerg-3306 559 8 the the DET fuelectenerg-3306 559 9 grid grid NOUN fuelectenerg-3306 559 10 ( ( PUNCT fuelectenerg-3306 559 11 k k PROPN fuelectenerg-3306 559 12 , , PUNCT fuelectenerg-3306 559 13 kmin kmin NOUN fuelectenerg-3306 559 14 , , PUNCT fuelectenerg-3306 559 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 559 16 g(k g(k PROPN fuelectenerg-3306 559 17 , , PUNCT fuelectenerg-3306 559 18 kmin kmin NOUN fuelectenerg-3306 559 19 , , PUNCT fuelectenerg-3306 559 20 kmax kmax PROPN fuelectenerg-3306 559 21 ) ) PUNCT fuelectenerg-3306 559 22 iff iff NOUN fuelectenerg-3306 559 23 it it PRON fuelectenerg-3306 559 24 has have VERB fuelectenerg-3306 559 25 k k PROPN fuelectenerg-3306 559 26 non non ADJ fuelectenerg-3306 559 27 - - ADJ fuelectenerg-3306 559 28 zero zero NUM fuelectenerg-3306 559 29 rm rm NOUN fuelectenerg-3306 559 30 - - PUNCT fuelectenerg-3306 559 31 coefficients coefficient NOUN fuelectenerg-3306 559 32 and and CCONJ fuelectenerg-3306 559 33 minimum minimum ADJ fuelectenerg-3306 559 34 order order NOUN fuelectenerg-3306 559 35 of of ADP fuelectenerg-3306 559 36 rm rm PROPN fuelectenerg-3306 559 37 coefficients coefficient NOUN fuelectenerg-3306 559 38 kmin kmin NOUN fuelectenerg-3306 559 39 and and CCONJ fuelectenerg-3306 559 40 maximum maximum ADJ fuelectenerg-3306 559 41 order order NOUN fuelectenerg-3306 559 42 kmax kmax NOUN fuelectenerg-3306 559 43 . . PUNCT fuelectenerg-3306 560 1 the the DET fuelectenerg-3306 560 2 g g PROPN fuelectenerg-3306 560 3 subsets subset NOUN fuelectenerg-3306 560 4 of of ADP fuelectenerg-3306 560 5 bent bent ADJ fuelectenerg-3306 560 6 functions function NOUN fuelectenerg-3306 560 7 are be AUX fuelectenerg-3306 560 8 the the DET fuelectenerg-3306 560 9 intersection intersection NOUN fuelectenerg-3306 560 10 of of ADP fuelectenerg-3306 560 11 v v NOUN fuelectenerg-3306 560 12 and and CCONJ fuelectenerg-3306 560 13 h h NOUN fuelectenerg-3306 560 14 subsets subset NOUN fuelectenerg-3306 560 15 . . PUNCT fuelectenerg-3306 561 1 number number NOUN fuelectenerg-3306 561 2 of of ADP fuelectenerg-3306 561 3 g g PROPN fuelectenerg-3306 561 4 subsets subset NOUN fuelectenerg-3306 561 5 also also ADV fuelectenerg-3306 561 6 depends depend VERB fuelectenerg-3306 561 7 of of ADP fuelectenerg-3306 561 8 the the DET fuelectenerg-3306 561 9 number number NOUN fuelectenerg-3306 561 10 of of ADP fuelectenerg-3306 561 11 variables variable NOUN fuelectenerg-3306 561 12 of of ADP fuelectenerg-3306 561 13 the the DET fuelectenerg-3306 561 14 bent bent ADJ fuelectenerg-3306 561 15 functions function NOUN fuelectenerg-3306 561 16 . . PUNCT fuelectenerg-3306 562 1 for for ADP fuelectenerg-3306 562 2 example example NOUN fuelectenerg-3306 562 3 , , PUNCT fuelectenerg-3306 562 4 there there PRON fuelectenerg-3306 562 5 are be VERB fuelectenerg-3306 562 6 many many ADJ fuelectenerg-3306 562 7 g g NOUN fuelectenerg-3306 562 8 subsets subset NOUN fuelectenerg-3306 562 9 for for ADP fuelectenerg-3306 562 10 bent bent ADJ fuelectenerg-3306 562 11 functions function NOUN fuelectenerg-3306 562 12 with with ADP fuelectenerg-3306 562 13 4 4 NUM fuelectenerg-3306 562 14 variables variable NOUN fuelectenerg-3306 562 15 : : PUNCT fuelectenerg-3306 562 16 v v X fuelectenerg-3306 562 17 ( ( PUNCT fuelectenerg-3306 562 18 1 1 NUM fuelectenerg-3306 562 19 , , PUNCT fuelectenerg-3306 562 20 0 0 NUM fuelectenerg-3306 562 21 , , PUNCT fuelectenerg-3306 562 22 0 0 NUM fuelectenerg-3306 562 23 ) ) PUNCT fuelectenerg-3306 562 24 , , PUNCT fuelectenerg-3306 562 25 h(1 h(1 PROPN fuelectenerg-3306 562 26 , , PUNCT fuelectenerg-3306 562 27 0 0 NUM fuelectenerg-3306 562 28 , , PUNCT fuelectenerg-3306 562 29 1 1 NUM fuelectenerg-3306 562 30 ) ) PUNCT fuelectenerg-3306 562 31 , , PUNCT fuelectenerg-3306 562 32 ... ... PUNCT fuelectenerg-3306 562 33 , , PUNCT fuelectenerg-3306 562 34 h(6 h(6 PROPN fuelectenerg-3306 562 35 , , PUNCT fuelectenerg-3306 562 36 2 2 NUM fuelectenerg-3306 562 37 , , PUNCT fuelectenerg-3306 562 38 2 2 NUM fuelectenerg-3306 562 39 ) ) PUNCT fuelectenerg-3306 562 40 . . PUNCT fuelectenerg-3306 563 1 there there PRON fuelectenerg-3306 563 2 are be VERB fuelectenerg-3306 563 3 also also ADV fuelectenerg-3306 563 4 many many ADJ fuelectenerg-3306 563 5 subsets subset NOUN fuelectenerg-3306 563 6 that that PRON fuelectenerg-3306 563 7 do do AUX fuelectenerg-3306 563 8 not not PART fuelectenerg-3306 563 9 contain contain VERB fuelectenerg-3306 563 10 any any PRON fuelectenerg-3306 563 11 of of ADP fuelectenerg-3306 563 12 the the DET fuelectenerg-3306 563 13 bent bent ADJ fuelectenerg-3306 563 14 functions function NOUN fuelectenerg-3306 563 15 . . PUNCT fuelectenerg-3306 564 1 example example NOUN fuelectenerg-3306 564 2 8 8 NUM fuelectenerg-3306 564 3 two two NUM fuelectenerg-3306 564 4 bent bent ADJ fuelectenerg-3306 564 5 functions function NOUN fuelectenerg-3306 564 6 of of ADP fuelectenerg-3306 564 7 4 4 NUM fuelectenerg-3306 564 8 variables variable NOUN fuelectenerg-3306 564 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 564 10 , , PUNCT fuelectenerg-3306 564 11 x2 x2 PROPN fuelectenerg-3306 564 12 , , PUNCT fuelectenerg-3306 564 13 x3 x3 ADJ fuelectenerg-3306 564 14 , , PUNCT fuelectenerg-3306 564 15 x4 x4 PROPN fuelectenerg-3306 564 16 ) ) PUNCT fuelectenerg-3306 564 17 = = SYM fuelectenerg-3306 565 1 x1x2 x1x2 PROPN fuelectenerg-3306 565 2 ⊕ ⊕ PROPN fuelectenerg-3306 565 3 x3x4 x3x4 ADP fuelectenerg-3306 565 4 , , PUNCT fuelectenerg-3306 565 5 and and CCONJ fuelectenerg-3306 565 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 565 7 , , PUNCT fuelectenerg-3306 565 8 x2 x2 PROPN fuelectenerg-3306 565 9 , , PUNCT fuelectenerg-3306 565 10 x3 x3 ADJ fuelectenerg-3306 565 11 , , PUNCT fuelectenerg-3306 565 12 x4 x4 PROPN fuelectenerg-3306 565 13 ) ) PUNCT fuelectenerg-3306 565 14 = = SYM fuelectenerg-3306 566 1 x1x3 x1x3 PROPN fuelectenerg-3306 566 2 ⊕ ⊕ PROPN fuelectenerg-3306 566 3 x2x4 x2x4 X fuelectenerg-3306 566 4 have have VERB fuelectenerg-3306 566 5 only only ADV fuelectenerg-3306 566 6 2 2 NUM fuelectenerg-3306 566 7 and and CCONJ fuelectenerg-3306 566 8 second second ADJ fuelectenerg-3306 566 9 order order NOUN fuelectenerg-3306 566 10 non non ADJ fuelectenerg-3306 566 11 - - ADJ fuelectenerg-3306 566 12 zero zero NUM fuelectenerg-3306 566 13 rm rm NOUN fuelectenerg-3306 566 14 - - PUNCT fuelectenerg-3306 566 15 coefficients coefficient NOUN fuelectenerg-3306 566 16 and and CCONJ fuelectenerg-3306 566 17 belong belong VERB fuelectenerg-3306 566 18 to to ADP fuelectenerg-3306 566 19 the the DET fuelectenerg-3306 566 20 same same ADJ fuelectenerg-3306 566 21 subset subset NOUN fuelectenerg-3306 566 22 g(2 g(2 PROPN fuelectenerg-3306 566 23 , , PUNCT fuelectenerg-3306 566 24 2 2 NUM fuelectenerg-3306 566 25 , , PUNCT fuelectenerg-3306 566 26 2 2 NUM fuelectenerg-3306 566 27 ) ) PUNCT fuelectenerg-3306 566 28 . . PUNCT fuelectenerg-3306 567 1 it it PRON fuelectenerg-3306 567 2 should should AUX fuelectenerg-3306 567 3 be be AUX fuelectenerg-3306 567 4 noticed notice VERB fuelectenerg-3306 567 5 that that SCONJ fuelectenerg-3306 567 6 there there PRON fuelectenerg-3306 567 7 are be VERB fuelectenerg-3306 567 8 bent bent ADJ fuelectenerg-3306 567 9 functions function NOUN fuelectenerg-3306 567 10 that that PRON fuelectenerg-3306 567 11 do do AUX fuelectenerg-3306 567 12 not not PART fuelectenerg-3306 567 13 belongs belong VERB fuelectenerg-3306 567 14 to to ADP fuelectenerg-3306 567 15 any any PRON fuelectenerg-3306 567 16 of of ADP fuelectenerg-3306 567 17 g g PROPN fuelectenerg-3306 567 18 subsets subset NOUN fuelectenerg-3306 567 19 . . PUNCT fuelectenerg-3306 568 1 4 4 NUM fuelectenerg-3306 568 2 experimental experimental ADJ fuelectenerg-3306 568 3 results result NOUN fuelectenerg-3306 568 4 in in ADP fuelectenerg-3306 568 5 this this DET fuelectenerg-3306 568 6 section section NOUN fuelectenerg-3306 568 7 , , PUNCT fuelectenerg-3306 568 8 we we PRON fuelectenerg-3306 568 9 made make VERB fuelectenerg-3306 568 10 enumeration enumeration NOUN fuelectenerg-3306 568 11 of of ADP fuelectenerg-3306 568 12 bent bent ADJ fuelectenerg-3306 568 13 functions function NOUN fuelectenerg-3306 568 14 in in ADP fuelectenerg-3306 568 15 some some DET fuelectenerg-3306 568 16 vertical vertical ADJ fuelectenerg-3306 568 17 , , PUNCT fuelectenerg-3306 568 18 horizontal horizontal ADJ fuelectenerg-3306 568 19 and and CCONJ fuelectenerg-3306 568 20 grid grid NOUN fuelectenerg-3306 568 21 subsets subset NOUN fuelectenerg-3306 568 22 for for ADP fuelectenerg-3306 568 23 functions function NOUN fuelectenerg-3306 568 24 with with ADP fuelectenerg-3306 568 25 4 4 NUM fuelectenerg-3306 568 26 , , PUNCT fuelectenerg-3306 568 27 6 6 NUM fuelectenerg-3306 568 28 , , PUNCT fuelectenerg-3306 568 29 and and CCONJ fuelectenerg-3306 568 30 8 8 NUM fuelectenerg-3306 568 31 variables variable NOUN fuelectenerg-3306 568 32 . . PUNCT fuelectenerg-3306 569 1 there there PRON fuelectenerg-3306 569 2 are be VERB fuelectenerg-3306 569 3 two two NUM fuelectenerg-3306 569 4 types type NOUN fuelectenerg-3306 569 5 of of ADP fuelectenerg-3306 569 6 methods method NOUN fuelectenerg-3306 569 7 for for ADP fuelectenerg-3306 569 8 enumerations enumeration NOUN fuelectenerg-3306 569 9 of of ADP fuelectenerg-3306 569 10 bent bent ADJ fuelectenerg-3306 569 11 functions function NOUN fuelectenerg-3306 569 12 , , PUNCT fuelectenerg-3306 569 13 primary primary ADJ fuelectenerg-3306 569 14 and and CCONJ fuelectenerg-3306 569 15 secondary secondary ADJ fuelectenerg-3306 569 16 . . PUNCT fuelectenerg-3306 570 1 the the DET fuelectenerg-3306 570 2 primary primary ADJ fuelectenerg-3306 570 3 methods method NOUN fuelectenerg-3306 570 4 are be AUX fuelectenerg-3306 570 5 based base VERB fuelectenerg-3306 570 6 on on ADP fuelectenerg-3306 570 7 the the DET fuelectenerg-3306 570 8 direct direct ADJ fuelectenerg-3306 570 9 enumeration enumeration NOUN fuelectenerg-3306 570 10 in in ADP fuelectenerg-3306 570 11 the the DET fuelectenerg-3306 570 12 boolean boolean ADJ fuelectenerg-3306 570 13 domain domain NOUN fuelectenerg-3306 570 14 . . PUNCT fuelectenerg-3306 571 1 the the DET fuelectenerg-3306 571 2 secondary secondary ADJ fuelectenerg-3306 571 3 methods method NOUN fuelectenerg-3306 571 4 are be AUX fuelectenerg-3306 571 5 based base VERB fuelectenerg-3306 571 6 on on ADP fuelectenerg-3306 571 7 214 214 NUM fuelectenerg-3306 571 8 m. m. NOUN fuelectenerg-3306 571 9 radmanović radmanović NOUN fuelectenerg-3306 571 10 , , PUNCT fuelectenerg-3306 571 11 r. r. PROPN fuelectenerg-3306 571 12 s. s. PROPN fuelectenerg-3306 571 13 stanković stanković PROPN fuelectenerg-3306 571 14 construction construction NOUN fuelectenerg-3306 571 15 of of ADP fuelectenerg-3306 571 16 subsets subset NOUN fuelectenerg-3306 571 17 of of ADP fuelectenerg-3306 571 18 bent bent ADJ fuelectenerg-3306 571 19 functions function NOUN fuelectenerg-3306 571 20 satisfying satisfy VERB fuelectenerg-3306 571 21 restrictions restriction NOUN fuelectenerg-3306 571 22 ... ... PUNCT fuelectenerg-3306 571 23 215 215 NUM fuelectenerg-3306 571 24 construction construction NOUN fuelectenerg-3306 571 25 of of ADP fuelectenerg-3306 571 26 subsets subset NOUN fuelectenerg-3306 571 27 of of ADP fuelectenerg-3306 571 28 bent bent ADJ fuelectenerg-3306 571 29 functions function NOUN fuelectenerg-3306 571 30 satisfying satisfy VERB fuelectenerg-3306 571 31 restrictions restriction NOUN fuelectenerg-3306 571 32 ... ... PUNCT fuelectenerg-3306 571 33 9 9 NUM fuelectenerg-3306 571 34 h(1 h(1 NOUN fuelectenerg-3306 571 35 , , PUNCT fuelectenerg-3306 571 36 2 2 NUM fuelectenerg-3306 571 37 ) ) PUNCT fuelectenerg-3306 571 38 , , PUNCT fuelectenerg-3306 571 39 and and CCONJ fuelectenerg-3306 571 40 h(2 h(2 NOUN fuelectenerg-3306 571 41 , , PUNCT fuelectenerg-3306 571 42 2 2 NUM fuelectenerg-3306 571 43 ) ) PUNCT fuelectenerg-3306 571 44 . . PUNCT fuelectenerg-3306 572 1 there there PRON fuelectenerg-3306 572 2 are be VERB fuelectenerg-3306 572 3 h h PROPN fuelectenerg-3306 572 4 subsets subset NOUN fuelectenerg-3306 572 5 h(0 h(0 PROPN fuelectenerg-3306 572 6 , , PUNCT fuelectenerg-3306 572 7 0 0 NUM fuelectenerg-3306 572 8 ) ) PUNCT fuelectenerg-3306 572 9 , , PUNCT fuelectenerg-3306 572 10 h(0 h(0 PROPN fuelectenerg-3306 572 11 , , PUNCT fuelectenerg-3306 572 12 1 1 NUM fuelectenerg-3306 572 13 ) ) PUNCT fuelectenerg-3306 572 14 , , PUNCT fuelectenerg-3306 572 15 and and CCONJ fuelectenerg-3306 572 16 h(1 h(1 PROPN fuelectenerg-3306 572 17 , , PUNCT fuelectenerg-3306 572 18 1 1 NUM fuelectenerg-3306 572 19 ) ) PUNCT fuelectenerg-3306 572 20 , , PUNCT fuelectenerg-3306 572 21 that that PRON fuelectenerg-3306 572 22 do do AUX fuelectenerg-3306 572 23 not not PART fuelectenerg-3306 572 24 contain contain VERB fuelectenerg-3306 572 25 any any PRON fuelectenerg-3306 572 26 of of ADP fuelectenerg-3306 572 27 the the DET fuelectenerg-3306 572 28 bent bent ADJ fuelectenerg-3306 572 29 functions function NOUN fuelectenerg-3306 572 30 . . PUNCT fuelectenerg-3306 573 1 example example NOUN fuelectenerg-3306 573 2 6 6 NUM fuelectenerg-3306 573 3 for for ADP fuelectenerg-3306 573 4 bent bent ADJ fuelectenerg-3306 573 5 functions function NOUN fuelectenerg-3306 573 6 with with ADP fuelectenerg-3306 573 7 6 6 NUM fuelectenerg-3306 573 8 variables variable NOUN fuelectenerg-3306 573 9 , , PUNCT fuelectenerg-3306 573 10 there there PRON fuelectenerg-3306 573 11 are be VERB fuelectenerg-3306 573 12 10 10 NUM fuelectenerg-3306 573 13 possible possible ADJ fuelectenerg-3306 573 14 h h NOUN fuelectenerg-3306 573 15 subsets subset NOUN fuelectenerg-3306 573 16 : : PUNCT fuelectenerg-3306 574 1 h(0 h(0 NOUN fuelectenerg-3306 574 2 , , PUNCT fuelectenerg-3306 574 3 0 0 NUM fuelectenerg-3306 574 4 ) ) PUNCT fuelectenerg-3306 574 5 , , PUNCT fuelectenerg-3306 574 6 h(0 h(0 PROPN fuelectenerg-3306 574 7 , , PUNCT fuelectenerg-3306 574 8 1 1 NUM fuelectenerg-3306 574 9 ) ) PUNCT fuelectenerg-3306 574 10 , , PUNCT fuelectenerg-3306 574 11 h(0 h(0 PROPN fuelectenerg-3306 574 12 , , PUNCT fuelectenerg-3306 574 13 2 2 NUM fuelectenerg-3306 574 14 ) ) PUNCT fuelectenerg-3306 574 15 , , PUNCT fuelectenerg-3306 574 16 h(0 h(0 PROPN fuelectenerg-3306 574 17 , , PUNCT fuelectenerg-3306 574 18 3 3 NUM fuelectenerg-3306 574 19 ) ) PUNCT fuelectenerg-3306 574 20 , , PUNCT fuelectenerg-3306 574 21 h(1 h(1 PROPN fuelectenerg-3306 574 22 , , PUNCT fuelectenerg-3306 574 23 1 1 NUM fuelectenerg-3306 574 24 ) ) PUNCT fuelectenerg-3306 574 25 , , PUNCT fuelectenerg-3306 574 26 h(1 h(1 PROPN fuelectenerg-3306 574 27 , , PUNCT fuelectenerg-3306 574 28 2 2 NUM fuelectenerg-3306 574 29 ) ) PUNCT fuelectenerg-3306 574 30 , , PUNCT fuelectenerg-3306 574 31 h(1 h(1 PROPN fuelectenerg-3306 574 32 , , PUNCT fuelectenerg-3306 574 33 3 3 NUM fuelectenerg-3306 574 34 ) ) PUNCT fuelectenerg-3306 574 35 , , PUNCT fuelectenerg-3306 574 36 h(2 h(2 NOUN fuelectenerg-3306 574 37 , , PUNCT fuelectenerg-3306 574 38 2 2 NUM fuelectenerg-3306 574 39 ) ) PUNCT fuelectenerg-3306 574 40 , , PUNCT fuelectenerg-3306 574 41 h(2 h(2 NOUN fuelectenerg-3306 574 42 , , PUNCT fuelectenerg-3306 574 43 3 3 NUM fuelectenerg-3306 574 44 ) ) PUNCT fuelectenerg-3306 574 45 , , PUNCT fuelectenerg-3306 574 46 and and CCONJ fuelectenerg-3306 574 47 h(3 h(3 PROPN fuelectenerg-3306 574 48 , , PUNCT fuelectenerg-3306 574 49 3 3 NUM fuelectenerg-3306 574 50 ) ) PUNCT fuelectenerg-3306 574 51 . . PUNCT fuelectenerg-3306 575 1 some some PRON fuelectenerg-3306 575 2 of of ADP fuelectenerg-3306 575 3 subsets subset NOUN fuelectenerg-3306 575 4 also also ADV fuelectenerg-3306 575 5 do do AUX fuelectenerg-3306 575 6 not not PART fuelectenerg-3306 575 7 contain contain VERB fuelectenerg-3306 575 8 any any PRON fuelectenerg-3306 575 9 of of ADP fuelectenerg-3306 575 10 the the DET fuelectenerg-3306 575 11 bent bent ADJ fuelectenerg-3306 575 12 functions function NOUN fuelectenerg-3306 575 13 . . PUNCT fuelectenerg-3306 576 1 example example NOUN fuelectenerg-3306 576 2 7 7 NUM fuelectenerg-3306 576 3 two two NUM fuelectenerg-3306 576 4 bent bent ADJ fuelectenerg-3306 576 5 functions function NOUN fuelectenerg-3306 576 6 of of ADP fuelectenerg-3306 576 7 4 4 NUM fuelectenerg-3306 576 8 variables variable NOUN fuelectenerg-3306 576 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 576 10 , , PUNCT fuelectenerg-3306 576 11 x2 x2 PROPN fuelectenerg-3306 576 12 , , PUNCT fuelectenerg-3306 576 13 x3 x3 ADJ fuelectenerg-3306 576 14 , , PUNCT fuelectenerg-3306 576 15 x4 x4 PROPN fuelectenerg-3306 576 16 ) ) PUNCT fuelectenerg-3306 576 17 = = PUNCT fuelectenerg-3306 577 1 x1x2 x1x2 PROPN fuelectenerg-3306 577 2 ⊕ ⊕ PROPN fuelectenerg-3306 577 3 x2x4 x2x4 PUNCT fuelectenerg-3306 577 4 ⊕ ⊕ PROPN fuelectenerg-3306 577 5 x3x4 x3x4 ADP fuelectenerg-3306 577 6 , , PUNCT fuelectenerg-3306 577 7 and and CCONJ fuelectenerg-3306 577 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 577 9 , , PUNCT fuelectenerg-3306 577 10 x2 x2 PROPN fuelectenerg-3306 577 11 , , PUNCT fuelectenerg-3306 577 12 x3 x3 ADJ fuelectenerg-3306 577 13 , , PUNCT fuelectenerg-3306 577 14 x4 x4 PROPN fuelectenerg-3306 577 15 ) ) PUNCT fuelectenerg-3306 577 16 = = SYM fuelectenerg-3306 578 1 x1x3 x1x3 PROPN fuelectenerg-3306 578 2 ⊕ ⊕ PROPN fuelectenerg-3306 578 3 x2x4 x2x4 X fuelectenerg-3306 578 4 have have VERB fuelectenerg-3306 578 5 only only ADV fuelectenerg-3306 578 6 second second ADJ fuelectenerg-3306 578 7 order order NOUN fuelectenerg-3306 578 8 non non ADJ fuelectenerg-3306 578 9 - - ADJ fuelectenerg-3306 578 10 zero zero NUM fuelectenerg-3306 578 11 rm rm NOUN fuelectenerg-3306 578 12 - - PUNCT fuelectenerg-3306 578 13 coefficients coefficient NOUN fuelectenerg-3306 578 14 and and CCONJ fuelectenerg-3306 578 15 belong belong VERB fuelectenerg-3306 578 16 to to ADP fuelectenerg-3306 578 17 the the DET fuelectenerg-3306 578 18 same same ADJ fuelectenerg-3306 578 19 subset subset NOUN fuelectenerg-3306 578 20 h(2 h(2 NOUN fuelectenerg-3306 578 21 , , PUNCT fuelectenerg-3306 578 22 2 2 NUM fuelectenerg-3306 578 23 ) ) PUNCT fuelectenerg-3306 578 24 . . PUNCT fuelectenerg-3306 579 1 3.3 3.3 NUM fuelectenerg-3306 579 2 grid grid NOUN fuelectenerg-3306 579 3 subset subset NOUN fuelectenerg-3306 579 4 in in ADP fuelectenerg-3306 579 5 definition definition NOUN fuelectenerg-3306 579 6 of of ADP fuelectenerg-3306 579 7 this this DET fuelectenerg-3306 579 8 subset subset NOUN fuelectenerg-3306 579 9 , , PUNCT fuelectenerg-3306 579 10 we we PRON fuelectenerg-3306 579 11 take take VERB fuelectenerg-3306 579 12 into into ADP fuelectenerg-3306 579 13 account account NOUN fuelectenerg-3306 579 14 both both PRON fuelectenerg-3306 579 15 , , PUNCT fuelectenerg-3306 579 16 the the DET fuelectenerg-3306 579 17 orders order NOUN fuelectenerg-3306 579 18 and and CCONJ fuelectenerg-3306 579 19 the the DET fuelectenerg-3306 579 20 number number NOUN fuelectenerg-3306 579 21 of of ADP fuelectenerg-3306 579 22 the the DET fuelectenerg-3306 579 23 coefficients coefficient NOUN fuelectenerg-3306 579 24 . . PUNCT fuelectenerg-3306 580 1 definition definition NOUN fuelectenerg-3306 580 2 7 7 NUM fuelectenerg-3306 580 3 a a DET fuelectenerg-3306 580 4 bent bent ADJ fuelectenerg-3306 580 5 function function NOUN fuelectenerg-3306 580 6 belongs belong VERB fuelectenerg-3306 580 7 to to ADP fuelectenerg-3306 580 8 the the DET fuelectenerg-3306 580 9 grid grid NOUN fuelectenerg-3306 580 10 ( ( PUNCT fuelectenerg-3306 580 11 k k PROPN fuelectenerg-3306 580 12 , , PUNCT fuelectenerg-3306 580 13 kmin kmin NOUN fuelectenerg-3306 580 14 , , PUNCT fuelectenerg-3306 580 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 580 16 g(k g(k PROPN fuelectenerg-3306 580 17 , , PUNCT fuelectenerg-3306 580 18 kmin kmin NOUN fuelectenerg-3306 580 19 , , PUNCT fuelectenerg-3306 580 20 kmax kmax PROPN fuelectenerg-3306 580 21 ) ) PUNCT fuelectenerg-3306 580 22 iff iff NOUN fuelectenerg-3306 580 23 it it PRON fuelectenerg-3306 580 24 has have VERB fuelectenerg-3306 580 25 k k PROPN fuelectenerg-3306 580 26 non non ADJ fuelectenerg-3306 580 27 - - ADJ fuelectenerg-3306 580 28 zero zero NUM fuelectenerg-3306 580 29 rm rm NOUN fuelectenerg-3306 580 30 - - PUNCT fuelectenerg-3306 580 31 coefficients coefficient NOUN fuelectenerg-3306 580 32 and and CCONJ fuelectenerg-3306 580 33 minimum minimum ADJ fuelectenerg-3306 580 34 order order NOUN fuelectenerg-3306 580 35 of of ADP fuelectenerg-3306 580 36 rm rm PROPN fuelectenerg-3306 580 37 coefficients coefficient NOUN fuelectenerg-3306 580 38 kmin kmin NOUN fuelectenerg-3306 580 39 and and CCONJ fuelectenerg-3306 580 40 maximum maximum ADJ fuelectenerg-3306 580 41 order order NOUN fuelectenerg-3306 580 42 kmax kmax NOUN fuelectenerg-3306 580 43 . . PUNCT fuelectenerg-3306 581 1 the the DET fuelectenerg-3306 581 2 g g PROPN fuelectenerg-3306 581 3 subsets subset NOUN fuelectenerg-3306 581 4 of of ADP fuelectenerg-3306 581 5 bent bent ADJ fuelectenerg-3306 581 6 functions function NOUN fuelectenerg-3306 581 7 are be AUX fuelectenerg-3306 581 8 the the DET fuelectenerg-3306 581 9 intersection intersection NOUN fuelectenerg-3306 581 10 of of ADP fuelectenerg-3306 581 11 v v NOUN fuelectenerg-3306 581 12 and and CCONJ fuelectenerg-3306 581 13 h h NOUN fuelectenerg-3306 581 14 subsets subset NOUN fuelectenerg-3306 581 15 . . PUNCT fuelectenerg-3306 582 1 number number NOUN fuelectenerg-3306 582 2 of of ADP fuelectenerg-3306 582 3 g g PROPN fuelectenerg-3306 582 4 subsets subset NOUN fuelectenerg-3306 582 5 also also ADV fuelectenerg-3306 582 6 depends depend VERB fuelectenerg-3306 582 7 of of ADP fuelectenerg-3306 582 8 the the DET fuelectenerg-3306 582 9 number number NOUN fuelectenerg-3306 582 10 of of ADP fuelectenerg-3306 582 11 variables variable NOUN fuelectenerg-3306 582 12 of of ADP fuelectenerg-3306 582 13 the the DET fuelectenerg-3306 582 14 bent bent ADJ fuelectenerg-3306 582 15 functions function NOUN fuelectenerg-3306 582 16 . . PUNCT fuelectenerg-3306 583 1 for for ADP fuelectenerg-3306 583 2 example example NOUN fuelectenerg-3306 583 3 , , PUNCT fuelectenerg-3306 583 4 there there PRON fuelectenerg-3306 583 5 are be VERB fuelectenerg-3306 583 6 many many ADJ fuelectenerg-3306 583 7 g g NOUN fuelectenerg-3306 583 8 subsets subset NOUN fuelectenerg-3306 583 9 for for ADP fuelectenerg-3306 583 10 bent bent ADJ fuelectenerg-3306 583 11 functions function NOUN fuelectenerg-3306 583 12 with with ADP fuelectenerg-3306 583 13 4 4 NUM fuelectenerg-3306 583 14 variables variable NOUN fuelectenerg-3306 583 15 : : PUNCT fuelectenerg-3306 583 16 v v X fuelectenerg-3306 583 17 ( ( PUNCT fuelectenerg-3306 583 18 1 1 NUM fuelectenerg-3306 583 19 , , PUNCT fuelectenerg-3306 583 20 0 0 NUM fuelectenerg-3306 583 21 , , PUNCT fuelectenerg-3306 583 22 0 0 NUM fuelectenerg-3306 583 23 ) ) PUNCT fuelectenerg-3306 583 24 , , PUNCT fuelectenerg-3306 583 25 h(1 h(1 PROPN fuelectenerg-3306 583 26 , , PUNCT fuelectenerg-3306 583 27 0 0 NUM fuelectenerg-3306 583 28 , , PUNCT fuelectenerg-3306 583 29 1 1 NUM fuelectenerg-3306 583 30 ) ) PUNCT fuelectenerg-3306 583 31 , , PUNCT fuelectenerg-3306 583 32 ... ... PUNCT fuelectenerg-3306 583 33 , , PUNCT fuelectenerg-3306 583 34 h(6 h(6 PROPN fuelectenerg-3306 583 35 , , PUNCT fuelectenerg-3306 583 36 2 2 NUM fuelectenerg-3306 583 37 , , PUNCT fuelectenerg-3306 583 38 2 2 NUM fuelectenerg-3306 583 39 ) ) PUNCT fuelectenerg-3306 583 40 . . PUNCT fuelectenerg-3306 584 1 there there PRON fuelectenerg-3306 584 2 are be VERB fuelectenerg-3306 584 3 also also ADV fuelectenerg-3306 584 4 many many ADJ fuelectenerg-3306 584 5 subsets subset NOUN fuelectenerg-3306 584 6 that that PRON fuelectenerg-3306 584 7 do do AUX fuelectenerg-3306 584 8 not not PART fuelectenerg-3306 584 9 contain contain VERB fuelectenerg-3306 584 10 any any PRON fuelectenerg-3306 584 11 of of ADP fuelectenerg-3306 584 12 the the DET fuelectenerg-3306 584 13 bent bent ADJ fuelectenerg-3306 584 14 functions function NOUN fuelectenerg-3306 584 15 . . PUNCT fuelectenerg-3306 585 1 example example NOUN fuelectenerg-3306 585 2 8 8 NUM fuelectenerg-3306 585 3 two two NUM fuelectenerg-3306 585 4 bent bent ADJ fuelectenerg-3306 585 5 functions function NOUN fuelectenerg-3306 585 6 of of ADP fuelectenerg-3306 585 7 4 4 NUM fuelectenerg-3306 585 8 variables variable NOUN fuelectenerg-3306 585 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 585 10 , , PUNCT fuelectenerg-3306 585 11 x2 x2 PROPN fuelectenerg-3306 585 12 , , PUNCT fuelectenerg-3306 585 13 x3 x3 ADJ fuelectenerg-3306 585 14 , , PUNCT fuelectenerg-3306 585 15 x4 x4 PROPN fuelectenerg-3306 585 16 ) ) PUNCT fuelectenerg-3306 585 17 = = SYM fuelectenerg-3306 586 1 x1x2 x1x2 PROPN fuelectenerg-3306 586 2 ⊕ ⊕ PROPN fuelectenerg-3306 586 3 x3x4 x3x4 ADP fuelectenerg-3306 586 4 , , PUNCT fuelectenerg-3306 586 5 and and CCONJ fuelectenerg-3306 586 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 586 7 , , PUNCT fuelectenerg-3306 586 8 x2 x2 PROPN fuelectenerg-3306 586 9 , , PUNCT fuelectenerg-3306 586 10 x3 x3 ADJ fuelectenerg-3306 586 11 , , PUNCT fuelectenerg-3306 586 12 x4 x4 PROPN fuelectenerg-3306 586 13 ) ) PUNCT fuelectenerg-3306 586 14 = = SYM fuelectenerg-3306 587 1 x1x3 x1x3 PROPN fuelectenerg-3306 587 2 ⊕ ⊕ PROPN fuelectenerg-3306 587 3 x2x4 x2x4 X fuelectenerg-3306 587 4 have have VERB fuelectenerg-3306 587 5 only only ADV fuelectenerg-3306 587 6 2 2 NUM fuelectenerg-3306 587 7 and and CCONJ fuelectenerg-3306 587 8 second second ADJ fuelectenerg-3306 587 9 order order NOUN fuelectenerg-3306 587 10 non non ADJ fuelectenerg-3306 587 11 - - ADJ fuelectenerg-3306 587 12 zero zero NUM fuelectenerg-3306 587 13 rm rm NOUN fuelectenerg-3306 587 14 - - PUNCT fuelectenerg-3306 587 15 coefficients coefficient NOUN fuelectenerg-3306 587 16 and and CCONJ fuelectenerg-3306 587 17 belong belong VERB fuelectenerg-3306 587 18 to to ADP fuelectenerg-3306 587 19 the the DET fuelectenerg-3306 587 20 same same ADJ fuelectenerg-3306 587 21 subset subset NOUN fuelectenerg-3306 587 22 g(2 g(2 PROPN fuelectenerg-3306 587 23 , , PUNCT fuelectenerg-3306 587 24 2 2 NUM fuelectenerg-3306 587 25 , , PUNCT fuelectenerg-3306 587 26 2 2 NUM fuelectenerg-3306 587 27 ) ) PUNCT fuelectenerg-3306 587 28 . . PUNCT fuelectenerg-3306 588 1 it it PRON fuelectenerg-3306 588 2 should should AUX fuelectenerg-3306 588 3 be be AUX fuelectenerg-3306 588 4 noticed notice VERB fuelectenerg-3306 588 5 that that SCONJ fuelectenerg-3306 588 6 there there PRON fuelectenerg-3306 588 7 are be VERB fuelectenerg-3306 588 8 bent bent ADJ fuelectenerg-3306 588 9 functions function NOUN fuelectenerg-3306 588 10 that that PRON fuelectenerg-3306 588 11 do do AUX fuelectenerg-3306 588 12 not not PART fuelectenerg-3306 588 13 belongs belong VERB fuelectenerg-3306 588 14 to to ADP fuelectenerg-3306 588 15 any any PRON fuelectenerg-3306 588 16 of of ADP fuelectenerg-3306 588 17 g g PROPN fuelectenerg-3306 588 18 subsets subset NOUN fuelectenerg-3306 588 19 . . PUNCT fuelectenerg-3306 589 1 4 4 NUM fuelectenerg-3306 589 2 experimental experimental ADJ fuelectenerg-3306 589 3 results result NOUN fuelectenerg-3306 589 4 in in ADP fuelectenerg-3306 589 5 this this DET fuelectenerg-3306 589 6 section section NOUN fuelectenerg-3306 589 7 , , PUNCT fuelectenerg-3306 589 8 we we PRON fuelectenerg-3306 589 9 made make VERB fuelectenerg-3306 589 10 enumeration enumeration NOUN fuelectenerg-3306 589 11 of of ADP fuelectenerg-3306 589 12 bent bent ADJ fuelectenerg-3306 589 13 functions function NOUN fuelectenerg-3306 589 14 in in ADP fuelectenerg-3306 589 15 some some DET fuelectenerg-3306 589 16 vertical vertical ADJ fuelectenerg-3306 589 17 , , PUNCT fuelectenerg-3306 589 18 horizontal horizontal ADJ fuelectenerg-3306 589 19 and and CCONJ fuelectenerg-3306 589 20 grid grid NOUN fuelectenerg-3306 589 21 subsets subset NOUN fuelectenerg-3306 589 22 for for ADP fuelectenerg-3306 589 23 functions function NOUN fuelectenerg-3306 589 24 with with ADP fuelectenerg-3306 589 25 4 4 NUM fuelectenerg-3306 589 26 , , PUNCT fuelectenerg-3306 589 27 6 6 NUM fuelectenerg-3306 589 28 , , PUNCT fuelectenerg-3306 589 29 and and CCONJ fuelectenerg-3306 589 30 8 8 NUM fuelectenerg-3306 589 31 variables variable NOUN fuelectenerg-3306 589 32 . . PUNCT fuelectenerg-3306 590 1 there there PRON fuelectenerg-3306 590 2 are be VERB fuelectenerg-3306 590 3 two two NUM fuelectenerg-3306 590 4 types type NOUN fuelectenerg-3306 590 5 of of ADP fuelectenerg-3306 590 6 methods method NOUN fuelectenerg-3306 590 7 for for ADP fuelectenerg-3306 590 8 enumerations enumeration NOUN fuelectenerg-3306 590 9 of of ADP fuelectenerg-3306 590 10 bent bent ADJ fuelectenerg-3306 590 11 functions function NOUN fuelectenerg-3306 590 12 , , PUNCT fuelectenerg-3306 590 13 primary primary ADJ fuelectenerg-3306 590 14 and and CCONJ fuelectenerg-3306 590 15 secondary secondary ADJ fuelectenerg-3306 590 16 . . PUNCT fuelectenerg-3306 591 1 the the DET fuelectenerg-3306 591 2 primary primary ADJ fuelectenerg-3306 591 3 methods method NOUN fuelectenerg-3306 591 4 are be AUX fuelectenerg-3306 591 5 based base VERB fuelectenerg-3306 591 6 on on ADP fuelectenerg-3306 591 7 the the DET fuelectenerg-3306 591 8 direct direct ADJ fuelectenerg-3306 591 9 enumeration enumeration NOUN fuelectenerg-3306 591 10 in in ADP fuelectenerg-3306 591 11 the the DET fuelectenerg-3306 591 12 boolean boolean ADJ fuelectenerg-3306 591 13 domain domain NOUN fuelectenerg-3306 591 14 . . PUNCT fuelectenerg-3306 592 1 the the DET fuelectenerg-3306 592 2 secondary secondary ADJ fuelectenerg-3306 592 3 methods method NOUN fuelectenerg-3306 592 4 are be AUX fuelectenerg-3306 592 5 based base VERB fuelectenerg-3306 592 6 on on ADP fuelectenerg-3306 592 7 8 8 NUM fuelectenerg-3306 592 8 m. m. NOUN fuelectenerg-3306 592 9 radmanović radmanović PROPN fuelectenerg-3306 592 10 and and CCONJ fuelectenerg-3306 592 11 r. r. PROPN fuelectenerg-3306 592 12 stanković stanković PROPN fuelectenerg-3306 592 13 11 11 NUM fuelectenerg-3306 592 14 possible possible ADJ fuelectenerg-3306 592 15 v v ADP fuelectenerg-3306 592 16 subsets subset NOUN fuelectenerg-3306 592 17 for for ADP fuelectenerg-3306 592 18 bent bent ADJ fuelectenerg-3306 592 19 function function NOUN fuelectenerg-3306 592 20 with with ADP fuelectenerg-3306 592 21 4 4 NUM fuelectenerg-3306 592 22 variables variable NOUN fuelectenerg-3306 592 23 . . PUNCT fuelectenerg-3306 593 1 the the DET fuelectenerg-3306 593 2 v v NOUN fuelectenerg-3306 593 3 ( ( PUNCT fuelectenerg-3306 593 4 1 1 NUM fuelectenerg-3306 593 5 ) ) PUNCT fuelectenerg-3306 593 6 subset subset NOUN fuelectenerg-3306 593 7 is be AUX fuelectenerg-3306 593 8 the the DET fuelectenerg-3306 593 9 subset subset NOUN fuelectenerg-3306 593 10 of of ADP fuelectenerg-3306 593 11 bent bent ADJ fuelectenerg-3306 593 12 functions function NOUN fuelectenerg-3306 593 13 having have VERB fuelectenerg-3306 593 14 the the DET fuelectenerg-3306 593 15 rm rm NOUN fuelectenerg-3306 593 16 spectrum spectrum VERB fuelectenerg-3306 593 17 with with ADP fuelectenerg-3306 593 18 1 1 NUM fuelectenerg-3306 593 19 non non ADJ fuelectenerg-3306 593 20 - - ADJ fuelectenerg-3306 593 21 zero zero NUM fuelectenerg-3306 593 22 rm rm NOUN fuelectenerg-3306 593 23 coefficient coefficient NOUN fuelectenerg-3306 593 24 , , PUNCT fuelectenerg-3306 593 25 the the DET fuelectenerg-3306 593 26 v v NOUN fuelectenerg-3306 593 27 ( ( PUNCT fuelectenerg-3306 593 28 2 2 NUM fuelectenerg-3306 593 29 ) ) PUNCT fuelectenerg-3306 593 30 subset subset NOUN fuelectenerg-3306 593 31 is be AUX fuelectenerg-3306 593 32 the the DET fuelectenerg-3306 593 33 subset subset NOUN fuelectenerg-3306 593 34 having have VERB fuelectenerg-3306 593 35 2 2 NUM fuelectenerg-3306 593 36 non non ADJ fuelectenerg-3306 593 37 - - ADJ fuelectenerg-3306 593 38 zero zero NUM fuelectenerg-3306 593 39 rm rm NOUN fuelectenerg-3306 593 40 coefficients coefficient NOUN fuelectenerg-3306 593 41 , , PUNCT fuelectenerg-3306 593 42 and and CCONJ fuelectenerg-3306 593 43 etc etc X fuelectenerg-3306 593 44 . . X fuelectenerg-3306 594 1 there there PRON fuelectenerg-3306 594 2 are be VERB fuelectenerg-3306 594 3 42 42 NUM fuelectenerg-3306 594 4 possible possible ADJ fuelectenerg-3306 594 5 v v ADP fuelectenerg-3306 594 6 subsets subset NOUN fuelectenerg-3306 594 7 for for ADP fuelectenerg-3306 594 8 bent bent ADJ fuelectenerg-3306 594 9 functions function NOUN fuelectenerg-3306 594 10 with with ADP fuelectenerg-3306 594 11 6 6 NUM fuelectenerg-3306 594 12 variables variable NOUN fuelectenerg-3306 594 13 , , PUNCT fuelectenerg-3306 594 14 and and CCONJ fuelectenerg-3306 594 15 163 163 NUM fuelectenerg-3306 594 16 possible possible ADJ fuelectenerg-3306 594 17 v v ADP fuelectenerg-3306 594 18 subsets subset NOUN fuelectenerg-3306 594 19 for for ADP fuelectenerg-3306 594 20 bent bent ADJ fuelectenerg-3306 594 21 functions function NOUN fuelectenerg-3306 594 22 with with ADP fuelectenerg-3306 594 23 8 8 NUM fuelectenerg-3306 594 24 variables variable NOUN fuelectenerg-3306 594 25 . . PUNCT fuelectenerg-3306 595 1 example example NOUN fuelectenerg-3306 595 2 3 3 NUM fuelectenerg-3306 595 3 two two NUM fuelectenerg-3306 595 4 bent bent ADJ fuelectenerg-3306 595 5 functions function NOUN fuelectenerg-3306 595 6 of of ADP fuelectenerg-3306 595 7 4 4 NUM fuelectenerg-3306 595 8 variables variable NOUN fuelectenerg-3306 595 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 595 10 , , PUNCT fuelectenerg-3306 595 11 x2 x2 PROPN fuelectenerg-3306 595 12 , , PUNCT fuelectenerg-3306 595 13 x3 x3 ADJ fuelectenerg-3306 595 14 , , PUNCT fuelectenerg-3306 595 15 x4 x4 PROPN fuelectenerg-3306 595 16 ) ) PUNCT fuelectenerg-3306 595 17 = = SYM fuelectenerg-3306 595 18 1⊕x1x2⊕ 1⊕x1x2⊕ NOUN fuelectenerg-3306 595 19 x3x4 x3x4 PROPN fuelectenerg-3306 595 20 , , PUNCT fuelectenerg-3306 595 21 and and CCONJ fuelectenerg-3306 595 22 f2(x1 f2(x1 ADJ fuelectenerg-3306 595 23 , , PUNCT fuelectenerg-3306 595 24 x2 x2 PROPN fuelectenerg-3306 595 25 , , PUNCT fuelectenerg-3306 595 26 x3 x3 ADJ fuelectenerg-3306 595 27 , , PUNCT fuelectenerg-3306 595 28 x4 x4 PROPN fuelectenerg-3306 595 29 ) ) PUNCT fuelectenerg-3306 595 30 = = PUNCT fuelectenerg-3306 595 31 x4⊕x1x2⊕x3x4 x4⊕x1x2⊕x3x4 X fuelectenerg-3306 595 32 have have VERB fuelectenerg-3306 595 33 3 3 NUM fuelectenerg-3306 595 34 non non ADJ fuelectenerg-3306 595 35 - - ADJ fuelectenerg-3306 595 36 zero zero NUM fuelectenerg-3306 595 37 rm rm NOUN fuelectenerg-3306 595 38 - - PUNCT fuelectenerg-3306 595 39 coefficients coefficient NOUN fuelectenerg-3306 595 40 and and CCONJ fuelectenerg-3306 595 41 belong belong VERB fuelectenerg-3306 595 42 to to ADP fuelectenerg-3306 595 43 the the DET fuelectenerg-3306 595 44 same same ADJ fuelectenerg-3306 595 45 subset subset NOUN fuelectenerg-3306 595 46 v v NOUN fuelectenerg-3306 595 47 ( ( PUNCT fuelectenerg-3306 595 48 3 3 NUM fuelectenerg-3306 595 49 ) ) PUNCT fuelectenerg-3306 595 50 . . PUNCT fuelectenerg-3306 596 1 3.2 3.2 NUM fuelectenerg-3306 596 2 horizontal horizontal NOUN fuelectenerg-3306 596 3 subset subset NOUN fuelectenerg-3306 596 4 in in ADP fuelectenerg-3306 596 5 definition definition NOUN fuelectenerg-3306 596 6 of of ADP fuelectenerg-3306 596 7 this this DET fuelectenerg-3306 596 8 subset subset NOUN fuelectenerg-3306 596 9 , , PUNCT fuelectenerg-3306 596 10 we we PRON fuelectenerg-3306 596 11 take take VERB fuelectenerg-3306 596 12 into into ADP fuelectenerg-3306 596 13 account account NOUN fuelectenerg-3306 596 14 the the DET fuelectenerg-3306 596 15 order order NOUN fuelectenerg-3306 596 16 of of ADP fuelectenerg-3306 596 17 the the DET fuelectenerg-3306 596 18 rm rm PROPN fuelectenerg-3306 596 19 coefficients coefficient NOUN fuelectenerg-3306 596 20 . . PUNCT fuelectenerg-3306 597 1 if if SCONJ fuelectenerg-3306 597 2 we we PRON fuelectenerg-3306 597 3 fix fix VERB fuelectenerg-3306 597 4 the the DET fuelectenerg-3306 597 5 order order NOUN fuelectenerg-3306 597 6 of of ADP fuelectenerg-3306 597 7 rm rm PROPN fuelectenerg-3306 597 8 coefficients coefficient NOUN fuelectenerg-3306 597 9 , , PUNCT fuelectenerg-3306 597 10 then then ADV fuelectenerg-3306 597 11 we we PRON fuelectenerg-3306 597 12 know know VERB fuelectenerg-3306 597 13 the the DET fuelectenerg-3306 597 14 positions position NOUN fuelectenerg-3306 597 15 of of ADP fuelectenerg-3306 597 16 coefficients coefficient NOUN fuelectenerg-3306 597 17 that that PRON fuelectenerg-3306 597 18 have have VERB fuelectenerg-3306 597 19 to to PART fuelectenerg-3306 597 20 be be AUX fuelectenerg-3306 597 21 0 0 NUM fuelectenerg-3306 597 22 in in ADP fuelectenerg-3306 597 23 the the DET fuelectenerg-3306 597 24 rm rm PROPN fuelectenerg-3306 597 25 spectrum spectrum NOUN fuelectenerg-3306 597 26 of of ADP fuelectenerg-3306 597 27 a a DET fuelectenerg-3306 597 28 bent bent ADJ fuelectenerg-3306 597 29 function function NOUN fuelectenerg-3306 597 30 , , PUNCT fuelectenerg-3306 597 31 due due ADP fuelectenerg-3306 597 32 to to ADP fuelectenerg-3306 597 33 this this DET fuelectenerg-3306 597 34 restriction restriction NOUN fuelectenerg-3306 597 35 related relate VERB fuelectenerg-3306 597 36 to to ADP fuelectenerg-3306 597 37 the the DET fuelectenerg-3306 597 38 order order NOUN fuelectenerg-3306 597 39 of of ADP fuelectenerg-3306 597 40 nonlinearity nonlinearity NOUN fuelectenerg-3306 597 41 . . PUNCT fuelectenerg-3306 598 1 all all DET fuelectenerg-3306 598 2 other other ADJ fuelectenerg-3306 598 3 coefficients coefficient NOUN fuelectenerg-3306 598 4 can can AUX fuelectenerg-3306 598 5 be be AUX fuelectenerg-3306 598 6 either either CCONJ fuelectenerg-3306 598 7 0 0 NUM fuelectenerg-3306 598 8 or or CCONJ fuelectenerg-3306 598 9 1 1 NUM fuelectenerg-3306 598 10 . . PUNCT fuelectenerg-3306 599 1 as as SCONJ fuelectenerg-3306 599 2 noticed notice VERB fuelectenerg-3306 599 3 above above ADV fuelectenerg-3306 599 4 , , PUNCT fuelectenerg-3306 599 5 in in ADP fuelectenerg-3306 599 6 this this DET fuelectenerg-3306 599 7 paper paper NOUN fuelectenerg-3306 599 8 , , PUNCT fuelectenerg-3306 599 9 we we PRON fuelectenerg-3306 599 10 use use VERB fuelectenerg-3306 599 11 the the DET fuelectenerg-3306 599 12 so so ADV fuelectenerg-3306 599 13 - - PUNCT fuelectenerg-3306 599 14 called call VERB fuelectenerg-3306 599 15 hadamard hadamard ADJ fuelectenerg-3306 599 16 ordering ordering NOUN fuelectenerg-3306 599 17 of of ADP fuelectenerg-3306 599 18 rm rm PROPN fuelectenerg-3306 599 19 coefficients coefficient NOUN fuelectenerg-3306 599 20 originating originate VERB fuelectenerg-3306 599 21 in in ADP fuelectenerg-3306 599 22 the the DET fuelectenerg-3306 599 23 kronecker kronecker NOUN fuelectenerg-3306 599 24 product product NOUN fuelectenerg-3306 599 25 structure structure NOUN fuelectenerg-3306 599 26 of of ADP fuelectenerg-3306 599 27 the the DET fuelectenerg-3306 599 28 reed reed NOUN fuelectenerg-3306 599 29 - - PUNCT fuelectenerg-3306 599 30 muller muller NOUN fuelectenerg-3306 599 31 matrix matrix NOUN fuelectenerg-3306 599 32 in in ADP fuelectenerg-3306 599 33 ( ( PUNCT fuelectenerg-3306 599 34 4 4 NUM fuelectenerg-3306 599 35 ) ) PUNCT fuelectenerg-3306 599 36 . . PUNCT fuelectenerg-3306 600 1 in in ADP fuelectenerg-3306 600 2 this this DET fuelectenerg-3306 600 3 ordering ordering NOUN fuelectenerg-3306 600 4 , , PUNCT fuelectenerg-3306 600 5 for for ADP fuelectenerg-3306 600 6 a a DET fuelectenerg-3306 600 7 given give VERB fuelectenerg-3306 600 8 n n CCONJ fuelectenerg-3306 600 9 , , PUNCT fuelectenerg-3306 600 10 we we PRON fuelectenerg-3306 600 11 can can AUX fuelectenerg-3306 600 12 determine determine VERB fuelectenerg-3306 600 13 positions position NOUN fuelectenerg-3306 600 14 of of ADP fuelectenerg-3306 600 15 coefficients coefficient NOUN fuelectenerg-3306 600 16 which which PRON fuelectenerg-3306 600 17 can can AUX fuelectenerg-3306 600 18 not not PART fuelectenerg-3306 600 19 be be AUX fuelectenerg-3306 600 20 1 1 NUM fuelectenerg-3306 600 21 by by ADP fuelectenerg-3306 600 22 referring refer VERB fuelectenerg-3306 600 23 to to ADP fuelectenerg-3306 600 24 ( ( PUNCT fuelectenerg-3306 600 25 7 7 NUM fuelectenerg-3306 600 26 ) ) PUNCT fuelectenerg-3306 600 27 . . PUNCT fuelectenerg-3306 601 1 example example NOUN fuelectenerg-3306 601 2 4 4 NUM fuelectenerg-3306 601 3 for for ADP fuelectenerg-3306 601 4 a a DET fuelectenerg-3306 601 5 bent bent ADJ fuelectenerg-3306 601 6 function function NOUN fuelectenerg-3306 601 7 of of ADP fuelectenerg-3306 601 8 four four NUM fuelectenerg-3306 601 9 variables variable NOUN fuelectenerg-3306 602 1 , , PUNCT fuelectenerg-3306 602 2 the the DET fuelectenerg-3306 602 3 rm rm PROPN fuelectenerg-3306 602 4 spectrum spectrum NOUN fuelectenerg-3306 602 5 can can AUX fuelectenerg-3306 602 6 be be AUX fuelectenerg-3306 602 7 represented represent VERB fuelectenerg-3306 602 8 by by ADP fuelectenerg-3306 602 9 sf sf NOUN fuelectenerg-3306 602 10 = = PUNCT fuelectenerg-3306 603 1 [ [ X fuelectenerg-3306 603 2 −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t −,−,−,−,−,−,−,×,−,−,−,×,−,×,×,×]t X fuelectenerg-3306 603 3 , , PUNCT fuelectenerg-3306 603 4 where where SCONJ fuelectenerg-3306 603 5 the the DET fuelectenerg-3306 603 6 possible possible ADJ fuelectenerg-3306 603 7 positions position NOUN fuelectenerg-3306 603 8 of of ADP fuelectenerg-3306 603 9 the the DET fuelectenerg-3306 603 10 non non ADJ fuelectenerg-3306 603 11 - - ADJ fuelectenerg-3306 603 12 zero zero NUM fuelectenerg-3306 603 13 coefficients coefficient NOUN fuelectenerg-3306 603 14 are be AUX fuelectenerg-3306 603 15 denoted denote VERB fuelectenerg-3306 603 16 by by ADP fuelectenerg-3306 603 17 dash dash NOUN fuelectenerg-3306 603 18 lines line NOUN fuelectenerg-3306 603 19 and and CCONJ fuelectenerg-3306 603 20 the the DET fuelectenerg-3306 603 21 restricted restricted ADJ fuelectenerg-3306 603 22 positions position NOUN fuelectenerg-3306 603 23 are be AUX fuelectenerg-3306 603 24 denoted denote VERB fuelectenerg-3306 603 25 with with ADP fuelectenerg-3306 603 26 ×. ×. NUM fuelectenerg-3306 603 27 definition definition NOUN fuelectenerg-3306 603 28 6 6 NUM fuelectenerg-3306 603 29 a a DET fuelectenerg-3306 603 30 bent bent ADJ fuelectenerg-3306 603 31 function function NOUN fuelectenerg-3306 603 32 belongs belong VERB fuelectenerg-3306 603 33 to to ADP fuelectenerg-3306 603 34 the the DET fuelectenerg-3306 603 35 horizontal horizontal ADJ fuelectenerg-3306 603 36 ( ( PUNCT fuelectenerg-3306 603 37 kmin kmin NOUN fuelectenerg-3306 603 38 , , PUNCT fuelectenerg-3306 603 39 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 603 40 h(kmin h(kmin NOUN fuelectenerg-3306 603 41 , , PUNCT fuelectenerg-3306 603 42 kmax kmax PROPN fuelectenerg-3306 603 43 ) ) PUNCT fuelectenerg-3306 603 44 iff iff NOUN fuelectenerg-3306 603 45 it it PRON fuelectenerg-3306 603 46 has have VERB fuelectenerg-3306 603 47 the the DET fuelectenerg-3306 603 48 minimum minimum ADJ fuelectenerg-3306 603 49 kmin kmin NOUN fuelectenerg-3306 603 50 and and CCONJ fuelectenerg-3306 603 51 the the DET fuelectenerg-3306 603 52 maximum maximum ADJ fuelectenerg-3306 603 53 kmax kmax PROPN fuelectenerg-3306 603 54 order order NOUN fuelectenerg-3306 603 55 of of ADP fuelectenerg-3306 603 56 rm rm PROPN fuelectenerg-3306 603 57 coefficients coefficient NOUN fuelectenerg-3306 603 58 . . PUNCT fuelectenerg-3306 604 1 h h PROPN fuelectenerg-3306 604 2 subsets subset NOUN fuelectenerg-3306 604 3 involve involve VERB fuelectenerg-3306 604 4 the the DET fuelectenerg-3306 604 5 application application NOUN fuelectenerg-3306 604 6 of of ADP fuelectenerg-3306 604 7 ranges range NOUN fuelectenerg-3306 604 8 of of ADP fuelectenerg-3306 604 9 possible possible ADJ fuelectenerg-3306 604 10 non non ADJ fuelectenerg-3306 604 11 - - ADJ fuelectenerg-3306 604 12 zero zero NUM fuelectenerg-3306 604 13 rm rm NOUN fuelectenerg-3306 604 14 spectrum spectrum NOUN fuelectenerg-3306 604 15 coefficients coefficient NOUN fuelectenerg-3306 604 16 orders order NOUN fuelectenerg-3306 604 17 . . PUNCT fuelectenerg-3306 605 1 the the DET fuelectenerg-3306 605 2 number number NOUN fuelectenerg-3306 605 3 of of ADP fuelectenerg-3306 605 4 h h NOUN fuelectenerg-3306 605 5 subsets subset NOUN fuelectenerg-3306 605 6 also also ADV fuelectenerg-3306 605 7 depends depend VERB fuelectenerg-3306 605 8 of of ADP fuelectenerg-3306 605 9 the the DET fuelectenerg-3306 605 10 number number NOUN fuelectenerg-3306 605 11 of of ADP fuelectenerg-3306 605 12 variables variable NOUN fuelectenerg-3306 605 13 of of ADP fuelectenerg-3306 605 14 the the DET fuelectenerg-3306 605 15 bent bent ADJ fuelectenerg-3306 605 16 functions function NOUN fuelectenerg-3306 605 17 . . PUNCT fuelectenerg-3306 606 1 example example NOUN fuelectenerg-3306 606 2 5 5 NUM fuelectenerg-3306 606 3 the the DET fuelectenerg-3306 606 4 maximal maximal ADJ fuelectenerg-3306 606 5 order order NOUN fuelectenerg-3306 606 6 of of ADP fuelectenerg-3306 606 7 non non ADJ fuelectenerg-3306 606 8 - - ADJ fuelectenerg-3306 606 9 zero zero ADJ fuelectenerg-3306 606 10 spectral spectral ADJ fuelectenerg-3306 606 11 coefficients coefficient NOUN fuelectenerg-3306 606 12 of of ADP fuelectenerg-3306 606 13 bent bent ADJ fuelectenerg-3306 606 14 functions function NOUN fuelectenerg-3306 606 15 with with ADP fuelectenerg-3306 606 16 4 4 NUM fuelectenerg-3306 606 17 variables variable NOUN fuelectenerg-3306 606 18 is be AUX fuelectenerg-3306 606 19 2 2 NUM fuelectenerg-3306 606 20 . . PUNCT fuelectenerg-3306 607 1 hence hence ADV fuelectenerg-3306 607 2 , , PUNCT fuelectenerg-3306 607 3 there there PRON fuelectenerg-3306 607 4 are be VERB fuelectenerg-3306 607 5 3 3 NUM fuelectenerg-3306 607 6 possible possible ADJ fuelectenerg-3306 607 7 h h NOUN fuelectenerg-3306 607 8 subsets subset NOUN fuelectenerg-3306 607 9 h(0 h(0 PROPN fuelectenerg-3306 607 10 , , PUNCT fuelectenerg-3306 607 11 2 2 NUM fuelectenerg-3306 607 12 ) ) PUNCT fuelectenerg-3306 607 13 , , PUNCT fuelectenerg-3306 607 14 construction construction NOUN fuelectenerg-3306 607 15 of of ADP fuelectenerg-3306 607 16 subsets subset NOUN fuelectenerg-3306 607 17 of of ADP fuelectenerg-3306 607 18 bent bent ADJ fuelectenerg-3306 607 19 functions function NOUN fuelectenerg-3306 607 20 satisfying satisfy VERB fuelectenerg-3306 607 21 restrictions restriction NOUN fuelectenerg-3306 607 22 ... ... PUNCT fuelectenerg-3306 607 23 9 9 NUM fuelectenerg-3306 607 24 h(1 h(1 NOUN fuelectenerg-3306 607 25 , , PUNCT fuelectenerg-3306 607 26 2 2 NUM fuelectenerg-3306 607 27 ) ) PUNCT fuelectenerg-3306 607 28 , , PUNCT fuelectenerg-3306 607 29 and and CCONJ fuelectenerg-3306 607 30 h(2 h(2 NOUN fuelectenerg-3306 607 31 , , PUNCT fuelectenerg-3306 607 32 2 2 NUM fuelectenerg-3306 607 33 ) ) PUNCT fuelectenerg-3306 607 34 . . PUNCT fuelectenerg-3306 608 1 there there PRON fuelectenerg-3306 608 2 are be VERB fuelectenerg-3306 608 3 h h PROPN fuelectenerg-3306 608 4 subsets subset NOUN fuelectenerg-3306 608 5 h(0 h(0 PROPN fuelectenerg-3306 608 6 , , PUNCT fuelectenerg-3306 608 7 0 0 NUM fuelectenerg-3306 608 8 ) ) PUNCT fuelectenerg-3306 608 9 , , PUNCT fuelectenerg-3306 608 10 h(0 h(0 PROPN fuelectenerg-3306 608 11 , , PUNCT fuelectenerg-3306 608 12 1 1 NUM fuelectenerg-3306 608 13 ) ) PUNCT fuelectenerg-3306 608 14 , , PUNCT fuelectenerg-3306 608 15 and and CCONJ fuelectenerg-3306 608 16 h(1 h(1 PROPN fuelectenerg-3306 608 17 , , PUNCT fuelectenerg-3306 608 18 1 1 NUM fuelectenerg-3306 608 19 ) ) PUNCT fuelectenerg-3306 608 20 , , PUNCT fuelectenerg-3306 608 21 that that PRON fuelectenerg-3306 608 22 do do AUX fuelectenerg-3306 608 23 not not PART fuelectenerg-3306 608 24 contain contain VERB fuelectenerg-3306 608 25 any any PRON fuelectenerg-3306 608 26 of of ADP fuelectenerg-3306 608 27 the the DET fuelectenerg-3306 608 28 bent bent ADJ fuelectenerg-3306 608 29 functions function NOUN fuelectenerg-3306 608 30 . . PUNCT fuelectenerg-3306 609 1 example example NOUN fuelectenerg-3306 609 2 6 6 NUM fuelectenerg-3306 609 3 for for ADP fuelectenerg-3306 609 4 bent bent ADJ fuelectenerg-3306 609 5 functions function NOUN fuelectenerg-3306 609 6 with with ADP fuelectenerg-3306 609 7 6 6 NUM fuelectenerg-3306 609 8 variables variable NOUN fuelectenerg-3306 609 9 , , PUNCT fuelectenerg-3306 609 10 there there PRON fuelectenerg-3306 609 11 are be VERB fuelectenerg-3306 609 12 10 10 NUM fuelectenerg-3306 609 13 possible possible ADJ fuelectenerg-3306 609 14 h h NOUN fuelectenerg-3306 609 15 subsets subset NOUN fuelectenerg-3306 609 16 : : PUNCT fuelectenerg-3306 610 1 h(0 h(0 NOUN fuelectenerg-3306 610 2 , , PUNCT fuelectenerg-3306 610 3 0 0 NUM fuelectenerg-3306 610 4 ) ) PUNCT fuelectenerg-3306 610 5 , , PUNCT fuelectenerg-3306 610 6 h(0 h(0 PROPN fuelectenerg-3306 610 7 , , PUNCT fuelectenerg-3306 610 8 1 1 NUM fuelectenerg-3306 610 9 ) ) PUNCT fuelectenerg-3306 610 10 , , PUNCT fuelectenerg-3306 610 11 h(0 h(0 PROPN fuelectenerg-3306 610 12 , , PUNCT fuelectenerg-3306 610 13 2 2 NUM fuelectenerg-3306 610 14 ) ) PUNCT fuelectenerg-3306 610 15 , , PUNCT fuelectenerg-3306 610 16 h(0 h(0 PROPN fuelectenerg-3306 610 17 , , PUNCT fuelectenerg-3306 610 18 3 3 NUM fuelectenerg-3306 610 19 ) ) PUNCT fuelectenerg-3306 610 20 , , PUNCT fuelectenerg-3306 610 21 h(1 h(1 PROPN fuelectenerg-3306 610 22 , , PUNCT fuelectenerg-3306 610 23 1 1 NUM fuelectenerg-3306 610 24 ) ) PUNCT fuelectenerg-3306 610 25 , , PUNCT fuelectenerg-3306 610 26 h(1 h(1 PROPN fuelectenerg-3306 610 27 , , PUNCT fuelectenerg-3306 610 28 2 2 NUM fuelectenerg-3306 610 29 ) ) PUNCT fuelectenerg-3306 610 30 , , PUNCT fuelectenerg-3306 610 31 h(1 h(1 PROPN fuelectenerg-3306 610 32 , , PUNCT fuelectenerg-3306 610 33 3 3 NUM fuelectenerg-3306 610 34 ) ) PUNCT fuelectenerg-3306 610 35 , , PUNCT fuelectenerg-3306 610 36 h(2 h(2 NOUN fuelectenerg-3306 610 37 , , PUNCT fuelectenerg-3306 610 38 2 2 NUM fuelectenerg-3306 610 39 ) ) PUNCT fuelectenerg-3306 610 40 , , PUNCT fuelectenerg-3306 610 41 h(2 h(2 NOUN fuelectenerg-3306 610 42 , , PUNCT fuelectenerg-3306 610 43 3 3 NUM fuelectenerg-3306 610 44 ) ) PUNCT fuelectenerg-3306 610 45 , , PUNCT fuelectenerg-3306 610 46 and and CCONJ fuelectenerg-3306 610 47 h(3 h(3 PROPN fuelectenerg-3306 610 48 , , PUNCT fuelectenerg-3306 610 49 3 3 NUM fuelectenerg-3306 610 50 ) ) PUNCT fuelectenerg-3306 610 51 . . PUNCT fuelectenerg-3306 611 1 some some PRON fuelectenerg-3306 611 2 of of ADP fuelectenerg-3306 611 3 subsets subset NOUN fuelectenerg-3306 611 4 also also ADV fuelectenerg-3306 611 5 do do AUX fuelectenerg-3306 611 6 not not PART fuelectenerg-3306 611 7 contain contain VERB fuelectenerg-3306 611 8 any any PRON fuelectenerg-3306 611 9 of of ADP fuelectenerg-3306 611 10 the the DET fuelectenerg-3306 611 11 bent bent ADJ fuelectenerg-3306 611 12 functions function NOUN fuelectenerg-3306 611 13 . . PUNCT fuelectenerg-3306 612 1 example example NOUN fuelectenerg-3306 612 2 7 7 NUM fuelectenerg-3306 612 3 two two NUM fuelectenerg-3306 612 4 bent bent ADJ fuelectenerg-3306 612 5 functions function NOUN fuelectenerg-3306 612 6 of of ADP fuelectenerg-3306 612 7 4 4 NUM fuelectenerg-3306 612 8 variables variable NOUN fuelectenerg-3306 612 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 612 10 , , PUNCT fuelectenerg-3306 612 11 x2 x2 PROPN fuelectenerg-3306 612 12 , , PUNCT fuelectenerg-3306 612 13 x3 x3 ADJ fuelectenerg-3306 612 14 , , PUNCT fuelectenerg-3306 612 15 x4 x4 PROPN fuelectenerg-3306 612 16 ) ) PUNCT fuelectenerg-3306 612 17 = = PUNCT fuelectenerg-3306 613 1 x1x2 x1x2 PROPN fuelectenerg-3306 613 2 ⊕ ⊕ PROPN fuelectenerg-3306 613 3 x2x4 x2x4 PUNCT fuelectenerg-3306 613 4 ⊕ ⊕ PROPN fuelectenerg-3306 613 5 x3x4 x3x4 ADP fuelectenerg-3306 613 6 , , PUNCT fuelectenerg-3306 613 7 and and CCONJ fuelectenerg-3306 613 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 613 9 , , PUNCT fuelectenerg-3306 613 10 x2 x2 PROPN fuelectenerg-3306 613 11 , , PUNCT fuelectenerg-3306 613 12 x3 x3 ADJ fuelectenerg-3306 613 13 , , PUNCT fuelectenerg-3306 613 14 x4 x4 PROPN fuelectenerg-3306 613 15 ) ) PUNCT fuelectenerg-3306 613 16 = = SYM fuelectenerg-3306 614 1 x1x3 x1x3 PROPN fuelectenerg-3306 614 2 ⊕ ⊕ PROPN fuelectenerg-3306 614 3 x2x4 x2x4 X fuelectenerg-3306 614 4 have have VERB fuelectenerg-3306 614 5 only only ADV fuelectenerg-3306 614 6 second second ADJ fuelectenerg-3306 614 7 order order NOUN fuelectenerg-3306 614 8 non non ADJ fuelectenerg-3306 614 9 - - ADJ fuelectenerg-3306 614 10 zero zero NUM fuelectenerg-3306 614 11 rm rm NOUN fuelectenerg-3306 614 12 - - PUNCT fuelectenerg-3306 614 13 coefficients coefficient NOUN fuelectenerg-3306 614 14 and and CCONJ fuelectenerg-3306 614 15 belong belong VERB fuelectenerg-3306 614 16 to to ADP fuelectenerg-3306 614 17 the the DET fuelectenerg-3306 614 18 same same ADJ fuelectenerg-3306 614 19 subset subset NOUN fuelectenerg-3306 614 20 h(2 h(2 NOUN fuelectenerg-3306 614 21 , , PUNCT fuelectenerg-3306 614 22 2 2 NUM fuelectenerg-3306 614 23 ) ) PUNCT fuelectenerg-3306 614 24 . . PUNCT fuelectenerg-3306 615 1 3.3 3.3 NUM fuelectenerg-3306 615 2 grid grid NOUN fuelectenerg-3306 615 3 subset subset NOUN fuelectenerg-3306 615 4 in in ADP fuelectenerg-3306 615 5 definition definition NOUN fuelectenerg-3306 615 6 of of ADP fuelectenerg-3306 615 7 this this DET fuelectenerg-3306 615 8 subset subset NOUN fuelectenerg-3306 615 9 , , PUNCT fuelectenerg-3306 615 10 we we PRON fuelectenerg-3306 615 11 take take VERB fuelectenerg-3306 615 12 into into ADP fuelectenerg-3306 615 13 account account NOUN fuelectenerg-3306 615 14 both both PRON fuelectenerg-3306 615 15 , , PUNCT fuelectenerg-3306 615 16 the the DET fuelectenerg-3306 615 17 orders order NOUN fuelectenerg-3306 615 18 and and CCONJ fuelectenerg-3306 615 19 the the DET fuelectenerg-3306 615 20 number number NOUN fuelectenerg-3306 615 21 of of ADP fuelectenerg-3306 615 22 the the DET fuelectenerg-3306 615 23 coefficients coefficient NOUN fuelectenerg-3306 615 24 . . PUNCT fuelectenerg-3306 616 1 definition definition NOUN fuelectenerg-3306 616 2 7 7 NUM fuelectenerg-3306 616 3 a a DET fuelectenerg-3306 616 4 bent bent ADJ fuelectenerg-3306 616 5 function function NOUN fuelectenerg-3306 616 6 belongs belong VERB fuelectenerg-3306 616 7 to to ADP fuelectenerg-3306 616 8 the the DET fuelectenerg-3306 616 9 grid grid NOUN fuelectenerg-3306 616 10 ( ( PUNCT fuelectenerg-3306 616 11 k k PROPN fuelectenerg-3306 616 12 , , PUNCT fuelectenerg-3306 616 13 kmin kmin NOUN fuelectenerg-3306 616 14 , , PUNCT fuelectenerg-3306 616 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 616 16 g(k g(k PROPN fuelectenerg-3306 616 17 , , PUNCT fuelectenerg-3306 616 18 kmin kmin NOUN fuelectenerg-3306 616 19 , , PUNCT fuelectenerg-3306 616 20 kmax kmax PROPN fuelectenerg-3306 616 21 ) ) PUNCT fuelectenerg-3306 616 22 iff iff NOUN fuelectenerg-3306 616 23 it it PRON fuelectenerg-3306 616 24 has have VERB fuelectenerg-3306 616 25 k k PROPN fuelectenerg-3306 616 26 non non ADJ fuelectenerg-3306 616 27 - - ADJ fuelectenerg-3306 616 28 zero zero NUM fuelectenerg-3306 616 29 rm rm NOUN fuelectenerg-3306 616 30 - - PUNCT fuelectenerg-3306 616 31 coefficients coefficient NOUN fuelectenerg-3306 616 32 and and CCONJ fuelectenerg-3306 616 33 minimum minimum ADJ fuelectenerg-3306 616 34 order order NOUN fuelectenerg-3306 616 35 of of ADP fuelectenerg-3306 616 36 rm rm PROPN fuelectenerg-3306 616 37 coefficients coefficient NOUN fuelectenerg-3306 616 38 kmin kmin NOUN fuelectenerg-3306 616 39 and and CCONJ fuelectenerg-3306 616 40 maximum maximum ADJ fuelectenerg-3306 616 41 order order NOUN fuelectenerg-3306 616 42 kmax kmax NOUN fuelectenerg-3306 616 43 . . PUNCT fuelectenerg-3306 617 1 the the DET fuelectenerg-3306 617 2 g g PROPN fuelectenerg-3306 617 3 subsets subset NOUN fuelectenerg-3306 617 4 of of ADP fuelectenerg-3306 617 5 bent bent ADJ fuelectenerg-3306 617 6 functions function NOUN fuelectenerg-3306 617 7 are be AUX fuelectenerg-3306 617 8 the the DET fuelectenerg-3306 617 9 intersection intersection NOUN fuelectenerg-3306 617 10 of of ADP fuelectenerg-3306 617 11 v v NOUN fuelectenerg-3306 617 12 and and CCONJ fuelectenerg-3306 617 13 h h NOUN fuelectenerg-3306 617 14 subsets subset NOUN fuelectenerg-3306 617 15 . . PUNCT fuelectenerg-3306 618 1 number number NOUN fuelectenerg-3306 618 2 of of ADP fuelectenerg-3306 618 3 g g PROPN fuelectenerg-3306 618 4 subsets subset NOUN fuelectenerg-3306 618 5 also also ADV fuelectenerg-3306 618 6 depends depend VERB fuelectenerg-3306 618 7 of of ADP fuelectenerg-3306 618 8 the the DET fuelectenerg-3306 618 9 number number NOUN fuelectenerg-3306 618 10 of of ADP fuelectenerg-3306 618 11 variables variable NOUN fuelectenerg-3306 618 12 of of ADP fuelectenerg-3306 618 13 the the DET fuelectenerg-3306 618 14 bent bent ADJ fuelectenerg-3306 618 15 functions function NOUN fuelectenerg-3306 618 16 . . PUNCT fuelectenerg-3306 619 1 for for ADP fuelectenerg-3306 619 2 example example NOUN fuelectenerg-3306 619 3 , , PUNCT fuelectenerg-3306 619 4 there there PRON fuelectenerg-3306 619 5 are be VERB fuelectenerg-3306 619 6 many many ADJ fuelectenerg-3306 619 7 g g NOUN fuelectenerg-3306 619 8 subsets subset NOUN fuelectenerg-3306 619 9 for for ADP fuelectenerg-3306 619 10 bent bent ADJ fuelectenerg-3306 619 11 functions function NOUN fuelectenerg-3306 619 12 with with ADP fuelectenerg-3306 619 13 4 4 NUM fuelectenerg-3306 619 14 variables variable NOUN fuelectenerg-3306 619 15 : : PUNCT fuelectenerg-3306 619 16 v v X fuelectenerg-3306 619 17 ( ( PUNCT fuelectenerg-3306 619 18 1 1 NUM fuelectenerg-3306 619 19 , , PUNCT fuelectenerg-3306 619 20 0 0 NUM fuelectenerg-3306 619 21 , , PUNCT fuelectenerg-3306 619 22 0 0 NUM fuelectenerg-3306 619 23 ) ) PUNCT fuelectenerg-3306 619 24 , , PUNCT fuelectenerg-3306 619 25 h(1 h(1 PROPN fuelectenerg-3306 619 26 , , PUNCT fuelectenerg-3306 619 27 0 0 NUM fuelectenerg-3306 619 28 , , PUNCT fuelectenerg-3306 619 29 1 1 NUM fuelectenerg-3306 619 30 ) ) PUNCT fuelectenerg-3306 619 31 , , PUNCT fuelectenerg-3306 619 32 ... ... PUNCT fuelectenerg-3306 619 33 , , PUNCT fuelectenerg-3306 619 34 h(6 h(6 PROPN fuelectenerg-3306 619 35 , , PUNCT fuelectenerg-3306 619 36 2 2 NUM fuelectenerg-3306 619 37 , , PUNCT fuelectenerg-3306 619 38 2 2 NUM fuelectenerg-3306 619 39 ) ) PUNCT fuelectenerg-3306 619 40 . . PUNCT fuelectenerg-3306 620 1 there there PRON fuelectenerg-3306 620 2 are be VERB fuelectenerg-3306 620 3 also also ADV fuelectenerg-3306 620 4 many many ADJ fuelectenerg-3306 620 5 subsets subset NOUN fuelectenerg-3306 620 6 that that PRON fuelectenerg-3306 620 7 do do AUX fuelectenerg-3306 620 8 not not PART fuelectenerg-3306 620 9 contain contain VERB fuelectenerg-3306 620 10 any any PRON fuelectenerg-3306 620 11 of of ADP fuelectenerg-3306 620 12 the the DET fuelectenerg-3306 620 13 bent bent ADJ fuelectenerg-3306 620 14 functions function NOUN fuelectenerg-3306 620 15 . . PUNCT fuelectenerg-3306 621 1 example example NOUN fuelectenerg-3306 621 2 8 8 NUM fuelectenerg-3306 621 3 two two NUM fuelectenerg-3306 621 4 bent bent ADJ fuelectenerg-3306 621 5 functions function NOUN fuelectenerg-3306 621 6 of of ADP fuelectenerg-3306 621 7 4 4 NUM fuelectenerg-3306 621 8 variables variable NOUN fuelectenerg-3306 621 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 621 10 , , PUNCT fuelectenerg-3306 621 11 x2 x2 PROPN fuelectenerg-3306 621 12 , , PUNCT fuelectenerg-3306 621 13 x3 x3 ADJ fuelectenerg-3306 621 14 , , PUNCT fuelectenerg-3306 621 15 x4 x4 PROPN fuelectenerg-3306 621 16 ) ) PUNCT fuelectenerg-3306 621 17 = = SYM fuelectenerg-3306 622 1 x1x2 x1x2 PROPN fuelectenerg-3306 622 2 ⊕ ⊕ PROPN fuelectenerg-3306 622 3 x3x4 x3x4 ADP fuelectenerg-3306 622 4 , , PUNCT fuelectenerg-3306 622 5 and and CCONJ fuelectenerg-3306 622 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 622 7 , , PUNCT fuelectenerg-3306 622 8 x2 x2 PROPN fuelectenerg-3306 622 9 , , PUNCT fuelectenerg-3306 622 10 x3 x3 ADJ fuelectenerg-3306 622 11 , , PUNCT fuelectenerg-3306 622 12 x4 x4 PROPN fuelectenerg-3306 622 13 ) ) PUNCT fuelectenerg-3306 622 14 = = SYM fuelectenerg-3306 623 1 x1x3 x1x3 PROPN fuelectenerg-3306 623 2 ⊕ ⊕ PROPN fuelectenerg-3306 623 3 x2x4 x2x4 X fuelectenerg-3306 623 4 have have VERB fuelectenerg-3306 623 5 only only ADV fuelectenerg-3306 623 6 2 2 NUM fuelectenerg-3306 623 7 and and CCONJ fuelectenerg-3306 623 8 second second ADJ fuelectenerg-3306 623 9 order order NOUN fuelectenerg-3306 623 10 non non ADJ fuelectenerg-3306 623 11 - - ADJ fuelectenerg-3306 623 12 zero zero NUM fuelectenerg-3306 623 13 rm rm NOUN fuelectenerg-3306 623 14 - - PUNCT fuelectenerg-3306 623 15 coefficients coefficient NOUN fuelectenerg-3306 623 16 and and CCONJ fuelectenerg-3306 623 17 belong belong VERB fuelectenerg-3306 623 18 to to ADP fuelectenerg-3306 623 19 the the DET fuelectenerg-3306 623 20 same same ADJ fuelectenerg-3306 623 21 subset subset NOUN fuelectenerg-3306 623 22 g(2 g(2 PROPN fuelectenerg-3306 623 23 , , PUNCT fuelectenerg-3306 623 24 2 2 NUM fuelectenerg-3306 623 25 , , PUNCT fuelectenerg-3306 623 26 2 2 NUM fuelectenerg-3306 623 27 ) ) PUNCT fuelectenerg-3306 623 28 . . PUNCT fuelectenerg-3306 624 1 it it PRON fuelectenerg-3306 624 2 should should AUX fuelectenerg-3306 624 3 be be AUX fuelectenerg-3306 624 4 noticed notice VERB fuelectenerg-3306 624 5 that that SCONJ fuelectenerg-3306 624 6 there there PRON fuelectenerg-3306 624 7 are be VERB fuelectenerg-3306 624 8 bent bent ADJ fuelectenerg-3306 624 9 functions function NOUN fuelectenerg-3306 624 10 that that PRON fuelectenerg-3306 624 11 do do AUX fuelectenerg-3306 624 12 not not PART fuelectenerg-3306 624 13 belongs belong VERB fuelectenerg-3306 624 14 to to ADP fuelectenerg-3306 624 15 any any PRON fuelectenerg-3306 624 16 of of ADP fuelectenerg-3306 624 17 g g PROPN fuelectenerg-3306 624 18 subsets subset NOUN fuelectenerg-3306 624 19 . . PUNCT fuelectenerg-3306 625 1 4 4 NUM fuelectenerg-3306 625 2 experimental experimental ADJ fuelectenerg-3306 625 3 results result NOUN fuelectenerg-3306 625 4 in in ADP fuelectenerg-3306 625 5 this this DET fuelectenerg-3306 625 6 section section NOUN fuelectenerg-3306 625 7 , , PUNCT fuelectenerg-3306 625 8 we we PRON fuelectenerg-3306 625 9 made make VERB fuelectenerg-3306 625 10 enumeration enumeration NOUN fuelectenerg-3306 625 11 of of ADP fuelectenerg-3306 625 12 bent bent ADJ fuelectenerg-3306 625 13 functions function NOUN fuelectenerg-3306 625 14 in in ADP fuelectenerg-3306 625 15 some some DET fuelectenerg-3306 625 16 vertical vertical ADJ fuelectenerg-3306 625 17 , , PUNCT fuelectenerg-3306 625 18 horizontal horizontal ADJ fuelectenerg-3306 625 19 and and CCONJ fuelectenerg-3306 625 20 grid grid NOUN fuelectenerg-3306 625 21 subsets subset NOUN fuelectenerg-3306 625 22 for for ADP fuelectenerg-3306 625 23 functions function NOUN fuelectenerg-3306 625 24 with with ADP fuelectenerg-3306 625 25 4 4 NUM fuelectenerg-3306 625 26 , , PUNCT fuelectenerg-3306 625 27 6 6 NUM fuelectenerg-3306 625 28 , , PUNCT fuelectenerg-3306 625 29 and and CCONJ fuelectenerg-3306 625 30 8 8 NUM fuelectenerg-3306 625 31 variables variable NOUN fuelectenerg-3306 625 32 . . PUNCT fuelectenerg-3306 626 1 there there PRON fuelectenerg-3306 626 2 are be VERB fuelectenerg-3306 626 3 two two NUM fuelectenerg-3306 626 4 types type NOUN fuelectenerg-3306 626 5 of of ADP fuelectenerg-3306 626 6 methods method NOUN fuelectenerg-3306 626 7 for for ADP fuelectenerg-3306 626 8 enumerations enumeration NOUN fuelectenerg-3306 626 9 of of ADP fuelectenerg-3306 626 10 bent bent ADJ fuelectenerg-3306 626 11 functions function NOUN fuelectenerg-3306 626 12 , , PUNCT fuelectenerg-3306 626 13 primary primary ADJ fuelectenerg-3306 626 14 and and CCONJ fuelectenerg-3306 626 15 secondary secondary ADJ fuelectenerg-3306 626 16 . . PUNCT fuelectenerg-3306 627 1 the the DET fuelectenerg-3306 627 2 primary primary ADJ fuelectenerg-3306 627 3 methods method NOUN fuelectenerg-3306 627 4 are be AUX fuelectenerg-3306 627 5 based base VERB fuelectenerg-3306 627 6 on on ADP fuelectenerg-3306 627 7 the the DET fuelectenerg-3306 627 8 direct direct ADJ fuelectenerg-3306 627 9 enumeration enumeration NOUN fuelectenerg-3306 627 10 in in ADP fuelectenerg-3306 627 11 the the DET fuelectenerg-3306 627 12 boolean boolean ADJ fuelectenerg-3306 627 13 domain domain NOUN fuelectenerg-3306 627 14 . . PUNCT fuelectenerg-3306 628 1 the the DET fuelectenerg-3306 628 2 secondary secondary ADJ fuelectenerg-3306 628 3 methods method NOUN fuelectenerg-3306 628 4 are be AUX fuelectenerg-3306 628 5 based base VERB fuelectenerg-3306 628 6 on on ADP fuelectenerg-3306 628 7 construction construction NOUN fuelectenerg-3306 628 8 of of ADP fuelectenerg-3306 628 9 subsets subset NOUN fuelectenerg-3306 628 10 of of ADP fuelectenerg-3306 628 11 bent bent ADJ fuelectenerg-3306 628 12 functions function NOUN fuelectenerg-3306 628 13 satisfying satisfy VERB fuelectenerg-3306 628 14 restrictions restriction NOUN fuelectenerg-3306 628 15 ... ... PUNCT fuelectenerg-3306 628 16 9 9 NUM fuelectenerg-3306 628 17 h(1 h(1 NOUN fuelectenerg-3306 628 18 , , PUNCT fuelectenerg-3306 628 19 2 2 NUM fuelectenerg-3306 628 20 ) ) PUNCT fuelectenerg-3306 628 21 , , PUNCT fuelectenerg-3306 628 22 and and CCONJ fuelectenerg-3306 628 23 h(2 h(2 NOUN fuelectenerg-3306 628 24 , , PUNCT fuelectenerg-3306 628 25 2 2 NUM fuelectenerg-3306 628 26 ) ) PUNCT fuelectenerg-3306 628 27 . . PUNCT fuelectenerg-3306 629 1 there there PRON fuelectenerg-3306 629 2 are be VERB fuelectenerg-3306 629 3 h h PROPN fuelectenerg-3306 629 4 subsets subset NOUN fuelectenerg-3306 629 5 h(0 h(0 PROPN fuelectenerg-3306 629 6 , , PUNCT fuelectenerg-3306 629 7 0 0 NUM fuelectenerg-3306 629 8 ) ) PUNCT fuelectenerg-3306 629 9 , , PUNCT fuelectenerg-3306 629 10 h(0 h(0 PROPN fuelectenerg-3306 629 11 , , PUNCT fuelectenerg-3306 629 12 1 1 NUM fuelectenerg-3306 629 13 ) ) PUNCT fuelectenerg-3306 629 14 , , PUNCT fuelectenerg-3306 629 15 and and CCONJ fuelectenerg-3306 629 16 h(1 h(1 PROPN fuelectenerg-3306 629 17 , , PUNCT fuelectenerg-3306 629 18 1 1 NUM fuelectenerg-3306 629 19 ) ) PUNCT fuelectenerg-3306 629 20 , , PUNCT fuelectenerg-3306 629 21 that that PRON fuelectenerg-3306 629 22 do do AUX fuelectenerg-3306 629 23 not not PART fuelectenerg-3306 629 24 contain contain VERB fuelectenerg-3306 629 25 any any PRON fuelectenerg-3306 629 26 of of ADP fuelectenerg-3306 629 27 the the DET fuelectenerg-3306 629 28 bent bent ADJ fuelectenerg-3306 629 29 functions function NOUN fuelectenerg-3306 629 30 . . PUNCT fuelectenerg-3306 630 1 example example NOUN fuelectenerg-3306 630 2 6 6 NUM fuelectenerg-3306 630 3 for for ADP fuelectenerg-3306 630 4 bent bent ADJ fuelectenerg-3306 630 5 functions function NOUN fuelectenerg-3306 630 6 with with ADP fuelectenerg-3306 630 7 6 6 NUM fuelectenerg-3306 630 8 variables variable NOUN fuelectenerg-3306 630 9 , , PUNCT fuelectenerg-3306 630 10 there there PRON fuelectenerg-3306 630 11 are be VERB fuelectenerg-3306 630 12 10 10 NUM fuelectenerg-3306 630 13 possible possible ADJ fuelectenerg-3306 630 14 h h NOUN fuelectenerg-3306 630 15 subsets subset NOUN fuelectenerg-3306 630 16 : : PUNCT fuelectenerg-3306 631 1 h(0 h(0 NOUN fuelectenerg-3306 631 2 , , PUNCT fuelectenerg-3306 631 3 0 0 NUM fuelectenerg-3306 631 4 ) ) PUNCT fuelectenerg-3306 631 5 , , PUNCT fuelectenerg-3306 631 6 h(0 h(0 PROPN fuelectenerg-3306 631 7 , , PUNCT fuelectenerg-3306 631 8 1 1 NUM fuelectenerg-3306 631 9 ) ) PUNCT fuelectenerg-3306 631 10 , , PUNCT fuelectenerg-3306 631 11 h(0 h(0 PROPN fuelectenerg-3306 631 12 , , PUNCT fuelectenerg-3306 631 13 2 2 NUM fuelectenerg-3306 631 14 ) ) PUNCT fuelectenerg-3306 631 15 , , PUNCT fuelectenerg-3306 631 16 h(0 h(0 PROPN fuelectenerg-3306 631 17 , , PUNCT fuelectenerg-3306 631 18 3 3 NUM fuelectenerg-3306 631 19 ) ) PUNCT fuelectenerg-3306 631 20 , , PUNCT fuelectenerg-3306 631 21 h(1 h(1 PROPN fuelectenerg-3306 631 22 , , PUNCT fuelectenerg-3306 631 23 1 1 NUM fuelectenerg-3306 631 24 ) ) PUNCT fuelectenerg-3306 631 25 , , PUNCT fuelectenerg-3306 631 26 h(1 h(1 PROPN fuelectenerg-3306 631 27 , , PUNCT fuelectenerg-3306 631 28 2 2 NUM fuelectenerg-3306 631 29 ) ) PUNCT fuelectenerg-3306 631 30 , , PUNCT fuelectenerg-3306 631 31 h(1 h(1 PROPN fuelectenerg-3306 631 32 , , PUNCT fuelectenerg-3306 631 33 3 3 NUM fuelectenerg-3306 631 34 ) ) PUNCT fuelectenerg-3306 631 35 , , PUNCT fuelectenerg-3306 631 36 h(2 h(2 NOUN fuelectenerg-3306 631 37 , , PUNCT fuelectenerg-3306 631 38 2 2 NUM fuelectenerg-3306 631 39 ) ) PUNCT fuelectenerg-3306 631 40 , , PUNCT fuelectenerg-3306 631 41 h(2 h(2 NOUN fuelectenerg-3306 631 42 , , PUNCT fuelectenerg-3306 631 43 3 3 NUM fuelectenerg-3306 631 44 ) ) PUNCT fuelectenerg-3306 631 45 , , PUNCT fuelectenerg-3306 631 46 and and CCONJ fuelectenerg-3306 631 47 h(3 h(3 PROPN fuelectenerg-3306 631 48 , , PUNCT fuelectenerg-3306 631 49 3 3 NUM fuelectenerg-3306 631 50 ) ) PUNCT fuelectenerg-3306 631 51 . . PUNCT fuelectenerg-3306 632 1 some some PRON fuelectenerg-3306 632 2 of of ADP fuelectenerg-3306 632 3 subsets subset NOUN fuelectenerg-3306 632 4 also also ADV fuelectenerg-3306 632 5 do do AUX fuelectenerg-3306 632 6 not not PART fuelectenerg-3306 632 7 contain contain VERB fuelectenerg-3306 632 8 any any PRON fuelectenerg-3306 632 9 of of ADP fuelectenerg-3306 632 10 the the DET fuelectenerg-3306 632 11 bent bent ADJ fuelectenerg-3306 632 12 functions function NOUN fuelectenerg-3306 632 13 . . PUNCT fuelectenerg-3306 633 1 example example NOUN fuelectenerg-3306 633 2 7 7 NUM fuelectenerg-3306 633 3 two two NUM fuelectenerg-3306 633 4 bent bent ADJ fuelectenerg-3306 633 5 functions function NOUN fuelectenerg-3306 633 6 of of ADP fuelectenerg-3306 633 7 4 4 NUM fuelectenerg-3306 633 8 variables variable NOUN fuelectenerg-3306 633 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 633 10 , , PUNCT fuelectenerg-3306 633 11 x2 x2 PROPN fuelectenerg-3306 633 12 , , PUNCT fuelectenerg-3306 633 13 x3 x3 ADJ fuelectenerg-3306 633 14 , , PUNCT fuelectenerg-3306 633 15 x4 x4 PROPN fuelectenerg-3306 633 16 ) ) PUNCT fuelectenerg-3306 633 17 = = PUNCT fuelectenerg-3306 634 1 x1x2 x1x2 PROPN fuelectenerg-3306 634 2 ⊕ ⊕ PROPN fuelectenerg-3306 634 3 x2x4 x2x4 PUNCT fuelectenerg-3306 634 4 ⊕ ⊕ PROPN fuelectenerg-3306 634 5 x3x4 x3x4 ADP fuelectenerg-3306 634 6 , , PUNCT fuelectenerg-3306 634 7 and and CCONJ fuelectenerg-3306 634 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 634 9 , , PUNCT fuelectenerg-3306 634 10 x2 x2 PROPN fuelectenerg-3306 634 11 , , PUNCT fuelectenerg-3306 634 12 x3 x3 ADJ fuelectenerg-3306 634 13 , , PUNCT fuelectenerg-3306 634 14 x4 x4 PROPN fuelectenerg-3306 634 15 ) ) PUNCT fuelectenerg-3306 634 16 = = SYM fuelectenerg-3306 635 1 x1x3 x1x3 PROPN fuelectenerg-3306 635 2 ⊕ ⊕ PROPN fuelectenerg-3306 635 3 x2x4 x2x4 X fuelectenerg-3306 635 4 have have VERB fuelectenerg-3306 635 5 only only ADV fuelectenerg-3306 635 6 second second ADJ fuelectenerg-3306 635 7 order order NOUN fuelectenerg-3306 635 8 non non ADJ fuelectenerg-3306 635 9 - - ADJ fuelectenerg-3306 635 10 zero zero NUM fuelectenerg-3306 635 11 rm rm NOUN fuelectenerg-3306 635 12 - - PUNCT fuelectenerg-3306 635 13 coefficients coefficient NOUN fuelectenerg-3306 635 14 and and CCONJ fuelectenerg-3306 635 15 belong belong VERB fuelectenerg-3306 635 16 to to ADP fuelectenerg-3306 635 17 the the DET fuelectenerg-3306 635 18 same same ADJ fuelectenerg-3306 635 19 subset subset NOUN fuelectenerg-3306 635 20 h(2 h(2 NOUN fuelectenerg-3306 635 21 , , PUNCT fuelectenerg-3306 635 22 2 2 NUM fuelectenerg-3306 635 23 ) ) PUNCT fuelectenerg-3306 635 24 . . PUNCT fuelectenerg-3306 636 1 3.3 3.3 NUM fuelectenerg-3306 636 2 grid grid NOUN fuelectenerg-3306 636 3 subset subset NOUN fuelectenerg-3306 636 4 in in ADP fuelectenerg-3306 636 5 definition definition NOUN fuelectenerg-3306 636 6 of of ADP fuelectenerg-3306 636 7 this this DET fuelectenerg-3306 636 8 subset subset NOUN fuelectenerg-3306 636 9 , , PUNCT fuelectenerg-3306 636 10 we we PRON fuelectenerg-3306 636 11 take take VERB fuelectenerg-3306 636 12 into into ADP fuelectenerg-3306 636 13 account account NOUN fuelectenerg-3306 636 14 both both PRON fuelectenerg-3306 636 15 , , PUNCT fuelectenerg-3306 636 16 the the DET fuelectenerg-3306 636 17 orders order NOUN fuelectenerg-3306 636 18 and and CCONJ fuelectenerg-3306 636 19 the the DET fuelectenerg-3306 636 20 number number NOUN fuelectenerg-3306 636 21 of of ADP fuelectenerg-3306 636 22 the the DET fuelectenerg-3306 636 23 coefficients coefficient NOUN fuelectenerg-3306 636 24 . . PUNCT fuelectenerg-3306 637 1 definition definition NOUN fuelectenerg-3306 637 2 7 7 NUM fuelectenerg-3306 637 3 a a DET fuelectenerg-3306 637 4 bent bent ADJ fuelectenerg-3306 637 5 function function NOUN fuelectenerg-3306 637 6 belongs belong VERB fuelectenerg-3306 637 7 to to ADP fuelectenerg-3306 637 8 the the DET fuelectenerg-3306 637 9 grid grid NOUN fuelectenerg-3306 637 10 ( ( PUNCT fuelectenerg-3306 637 11 k k PROPN fuelectenerg-3306 637 12 , , PUNCT fuelectenerg-3306 637 13 kmin kmin NOUN fuelectenerg-3306 637 14 , , PUNCT fuelectenerg-3306 637 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 637 16 g(k g(k PROPN fuelectenerg-3306 637 17 , , PUNCT fuelectenerg-3306 637 18 kmin kmin NOUN fuelectenerg-3306 637 19 , , PUNCT fuelectenerg-3306 637 20 kmax kmax PROPN fuelectenerg-3306 637 21 ) ) PUNCT fuelectenerg-3306 637 22 iff iff NOUN fuelectenerg-3306 637 23 it it PRON fuelectenerg-3306 637 24 has have VERB fuelectenerg-3306 637 25 k k PROPN fuelectenerg-3306 637 26 non non ADJ fuelectenerg-3306 637 27 - - ADJ fuelectenerg-3306 637 28 zero zero NUM fuelectenerg-3306 637 29 rm rm NOUN fuelectenerg-3306 637 30 - - PUNCT fuelectenerg-3306 637 31 coefficients coefficient NOUN fuelectenerg-3306 637 32 and and CCONJ fuelectenerg-3306 637 33 minimum minimum ADJ fuelectenerg-3306 637 34 order order NOUN fuelectenerg-3306 637 35 of of ADP fuelectenerg-3306 637 36 rm rm PROPN fuelectenerg-3306 637 37 coefficients coefficient NOUN fuelectenerg-3306 637 38 kmin kmin NOUN fuelectenerg-3306 637 39 and and CCONJ fuelectenerg-3306 637 40 maximum maximum ADJ fuelectenerg-3306 637 41 order order NOUN fuelectenerg-3306 637 42 kmax kmax NOUN fuelectenerg-3306 637 43 . . PUNCT fuelectenerg-3306 638 1 the the DET fuelectenerg-3306 638 2 g g PROPN fuelectenerg-3306 638 3 subsets subset NOUN fuelectenerg-3306 638 4 of of ADP fuelectenerg-3306 638 5 bent bent ADJ fuelectenerg-3306 638 6 functions function NOUN fuelectenerg-3306 638 7 are be AUX fuelectenerg-3306 638 8 the the DET fuelectenerg-3306 638 9 intersection intersection NOUN fuelectenerg-3306 638 10 of of ADP fuelectenerg-3306 638 11 v v NOUN fuelectenerg-3306 638 12 and and CCONJ fuelectenerg-3306 638 13 h h NOUN fuelectenerg-3306 638 14 subsets subset NOUN fuelectenerg-3306 638 15 . . PUNCT fuelectenerg-3306 639 1 number number NOUN fuelectenerg-3306 639 2 of of ADP fuelectenerg-3306 639 3 g g PROPN fuelectenerg-3306 639 4 subsets subset NOUN fuelectenerg-3306 639 5 also also ADV fuelectenerg-3306 639 6 depends depend VERB fuelectenerg-3306 639 7 of of ADP fuelectenerg-3306 639 8 the the DET fuelectenerg-3306 639 9 number number NOUN fuelectenerg-3306 639 10 of of ADP fuelectenerg-3306 639 11 variables variable NOUN fuelectenerg-3306 639 12 of of ADP fuelectenerg-3306 639 13 the the DET fuelectenerg-3306 639 14 bent bent ADJ fuelectenerg-3306 639 15 functions function NOUN fuelectenerg-3306 639 16 . . PUNCT fuelectenerg-3306 640 1 for for ADP fuelectenerg-3306 640 2 example example NOUN fuelectenerg-3306 640 3 , , PUNCT fuelectenerg-3306 640 4 there there PRON fuelectenerg-3306 640 5 are be VERB fuelectenerg-3306 640 6 many many ADJ fuelectenerg-3306 640 7 g g NOUN fuelectenerg-3306 640 8 subsets subset NOUN fuelectenerg-3306 640 9 for for ADP fuelectenerg-3306 640 10 bent bent ADJ fuelectenerg-3306 640 11 functions function NOUN fuelectenerg-3306 640 12 with with ADP fuelectenerg-3306 640 13 4 4 NUM fuelectenerg-3306 640 14 variables variable NOUN fuelectenerg-3306 640 15 : : PUNCT fuelectenerg-3306 640 16 v v X fuelectenerg-3306 640 17 ( ( PUNCT fuelectenerg-3306 640 18 1 1 NUM fuelectenerg-3306 640 19 , , PUNCT fuelectenerg-3306 640 20 0 0 NUM fuelectenerg-3306 640 21 , , PUNCT fuelectenerg-3306 640 22 0 0 NUM fuelectenerg-3306 640 23 ) ) PUNCT fuelectenerg-3306 640 24 , , PUNCT fuelectenerg-3306 640 25 h(1 h(1 PROPN fuelectenerg-3306 640 26 , , PUNCT fuelectenerg-3306 640 27 0 0 NUM fuelectenerg-3306 640 28 , , PUNCT fuelectenerg-3306 640 29 1 1 NUM fuelectenerg-3306 640 30 ) ) PUNCT fuelectenerg-3306 640 31 , , PUNCT fuelectenerg-3306 640 32 ... ... PUNCT fuelectenerg-3306 640 33 , , PUNCT fuelectenerg-3306 640 34 h(6 h(6 PROPN fuelectenerg-3306 640 35 , , PUNCT fuelectenerg-3306 640 36 2 2 NUM fuelectenerg-3306 640 37 , , PUNCT fuelectenerg-3306 640 38 2 2 NUM fuelectenerg-3306 640 39 ) ) PUNCT fuelectenerg-3306 640 40 . . PUNCT fuelectenerg-3306 641 1 there there PRON fuelectenerg-3306 641 2 are be VERB fuelectenerg-3306 641 3 also also ADV fuelectenerg-3306 641 4 many many ADJ fuelectenerg-3306 641 5 subsets subset NOUN fuelectenerg-3306 641 6 that that PRON fuelectenerg-3306 641 7 do do AUX fuelectenerg-3306 641 8 not not PART fuelectenerg-3306 641 9 contain contain VERB fuelectenerg-3306 641 10 any any PRON fuelectenerg-3306 641 11 of of ADP fuelectenerg-3306 641 12 the the DET fuelectenerg-3306 641 13 bent bent ADJ fuelectenerg-3306 641 14 functions function NOUN fuelectenerg-3306 641 15 . . PUNCT fuelectenerg-3306 642 1 example example NOUN fuelectenerg-3306 642 2 8 8 NUM fuelectenerg-3306 642 3 two two NUM fuelectenerg-3306 642 4 bent bent ADJ fuelectenerg-3306 642 5 functions function NOUN fuelectenerg-3306 642 6 of of ADP fuelectenerg-3306 642 7 4 4 NUM fuelectenerg-3306 642 8 variables variable NOUN fuelectenerg-3306 642 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 642 10 , , PUNCT fuelectenerg-3306 642 11 x2 x2 PROPN fuelectenerg-3306 642 12 , , PUNCT fuelectenerg-3306 642 13 x3 x3 ADJ fuelectenerg-3306 642 14 , , PUNCT fuelectenerg-3306 642 15 x4 x4 PROPN fuelectenerg-3306 642 16 ) ) PUNCT fuelectenerg-3306 642 17 = = SYM fuelectenerg-3306 643 1 x1x2 x1x2 PROPN fuelectenerg-3306 643 2 ⊕ ⊕ PROPN fuelectenerg-3306 643 3 x3x4 x3x4 ADP fuelectenerg-3306 643 4 , , PUNCT fuelectenerg-3306 643 5 and and CCONJ fuelectenerg-3306 643 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 643 7 , , PUNCT fuelectenerg-3306 643 8 x2 x2 PROPN fuelectenerg-3306 643 9 , , PUNCT fuelectenerg-3306 643 10 x3 x3 ADJ fuelectenerg-3306 643 11 , , PUNCT fuelectenerg-3306 643 12 x4 x4 PROPN fuelectenerg-3306 643 13 ) ) PUNCT fuelectenerg-3306 643 14 = = SYM fuelectenerg-3306 644 1 x1x3 x1x3 PROPN fuelectenerg-3306 644 2 ⊕ ⊕ PROPN fuelectenerg-3306 644 3 x2x4 x2x4 X fuelectenerg-3306 644 4 have have VERB fuelectenerg-3306 644 5 only only ADV fuelectenerg-3306 644 6 2 2 NUM fuelectenerg-3306 644 7 and and CCONJ fuelectenerg-3306 644 8 second second ADJ fuelectenerg-3306 644 9 order order NOUN fuelectenerg-3306 644 10 non non ADJ fuelectenerg-3306 644 11 - - ADJ fuelectenerg-3306 644 12 zero zero NUM fuelectenerg-3306 644 13 rm rm NOUN fuelectenerg-3306 644 14 - - PUNCT fuelectenerg-3306 644 15 coefficients coefficient NOUN fuelectenerg-3306 644 16 and and CCONJ fuelectenerg-3306 644 17 belong belong VERB fuelectenerg-3306 644 18 to to ADP fuelectenerg-3306 644 19 the the DET fuelectenerg-3306 644 20 same same ADJ fuelectenerg-3306 644 21 subset subset NOUN fuelectenerg-3306 644 22 g(2 g(2 PROPN fuelectenerg-3306 644 23 , , PUNCT fuelectenerg-3306 644 24 2 2 NUM fuelectenerg-3306 644 25 , , PUNCT fuelectenerg-3306 644 26 2 2 NUM fuelectenerg-3306 644 27 ) ) PUNCT fuelectenerg-3306 644 28 . . PUNCT fuelectenerg-3306 645 1 it it PRON fuelectenerg-3306 645 2 should should AUX fuelectenerg-3306 645 3 be be AUX fuelectenerg-3306 645 4 noticed notice VERB fuelectenerg-3306 645 5 that that SCONJ fuelectenerg-3306 645 6 there there PRON fuelectenerg-3306 645 7 are be VERB fuelectenerg-3306 645 8 bent bent ADJ fuelectenerg-3306 645 9 functions function NOUN fuelectenerg-3306 645 10 that that PRON fuelectenerg-3306 645 11 do do AUX fuelectenerg-3306 645 12 not not PART fuelectenerg-3306 645 13 belongs belong VERB fuelectenerg-3306 645 14 to to ADP fuelectenerg-3306 645 15 any any PRON fuelectenerg-3306 645 16 of of ADP fuelectenerg-3306 645 17 g g PROPN fuelectenerg-3306 645 18 subsets subset NOUN fuelectenerg-3306 645 19 . . PUNCT fuelectenerg-3306 646 1 4 4 NUM fuelectenerg-3306 646 2 experimental experimental ADJ fuelectenerg-3306 646 3 results result NOUN fuelectenerg-3306 646 4 in in ADP fuelectenerg-3306 646 5 this this DET fuelectenerg-3306 646 6 section section NOUN fuelectenerg-3306 646 7 , , PUNCT fuelectenerg-3306 646 8 we we PRON fuelectenerg-3306 646 9 made make VERB fuelectenerg-3306 646 10 enumeration enumeration NOUN fuelectenerg-3306 646 11 of of ADP fuelectenerg-3306 646 12 bent bent ADJ fuelectenerg-3306 646 13 functions function NOUN fuelectenerg-3306 646 14 in in ADP fuelectenerg-3306 646 15 some some DET fuelectenerg-3306 646 16 vertical vertical ADJ fuelectenerg-3306 646 17 , , PUNCT fuelectenerg-3306 646 18 horizontal horizontal ADJ fuelectenerg-3306 646 19 and and CCONJ fuelectenerg-3306 646 20 grid grid NOUN fuelectenerg-3306 646 21 subsets subset NOUN fuelectenerg-3306 646 22 for for ADP fuelectenerg-3306 646 23 functions function NOUN fuelectenerg-3306 646 24 with with ADP fuelectenerg-3306 646 25 4 4 NUM fuelectenerg-3306 646 26 , , PUNCT fuelectenerg-3306 646 27 6 6 NUM fuelectenerg-3306 646 28 , , PUNCT fuelectenerg-3306 646 29 and and CCONJ fuelectenerg-3306 646 30 8 8 NUM fuelectenerg-3306 646 31 variables variable NOUN fuelectenerg-3306 646 32 . . PUNCT fuelectenerg-3306 647 1 there there PRON fuelectenerg-3306 647 2 are be VERB fuelectenerg-3306 647 3 two two NUM fuelectenerg-3306 647 4 types type NOUN fuelectenerg-3306 647 5 of of ADP fuelectenerg-3306 647 6 methods method NOUN fuelectenerg-3306 647 7 for for ADP fuelectenerg-3306 647 8 enumerations enumeration NOUN fuelectenerg-3306 647 9 of of ADP fuelectenerg-3306 647 10 bent bent ADJ fuelectenerg-3306 647 11 functions function NOUN fuelectenerg-3306 647 12 , , PUNCT fuelectenerg-3306 647 13 primary primary ADJ fuelectenerg-3306 647 14 and and CCONJ fuelectenerg-3306 647 15 secondary secondary ADJ fuelectenerg-3306 647 16 . . PUNCT fuelectenerg-3306 648 1 the the DET fuelectenerg-3306 648 2 primary primary ADJ fuelectenerg-3306 648 3 methods method NOUN fuelectenerg-3306 648 4 are be AUX fuelectenerg-3306 648 5 based base VERB fuelectenerg-3306 648 6 on on ADP fuelectenerg-3306 648 7 the the DET fuelectenerg-3306 648 8 direct direct ADJ fuelectenerg-3306 648 9 enumeration enumeration NOUN fuelectenerg-3306 648 10 in in ADP fuelectenerg-3306 648 11 the the DET fuelectenerg-3306 648 12 boolean boolean ADJ fuelectenerg-3306 648 13 domain domain NOUN fuelectenerg-3306 648 14 . . PUNCT fuelectenerg-3306 649 1 the the DET fuelectenerg-3306 649 2 secondary secondary ADJ fuelectenerg-3306 649 3 methods method NOUN fuelectenerg-3306 649 4 are be AUX fuelectenerg-3306 649 5 based base VERB fuelectenerg-3306 649 6 on on ADP fuelectenerg-3306 649 7 construction construction NOUN fuelectenerg-3306 649 8 of of ADP fuelectenerg-3306 649 9 subsets subset NOUN fuelectenerg-3306 649 10 of of ADP fuelectenerg-3306 649 11 bent bent ADJ fuelectenerg-3306 649 12 functions function NOUN fuelectenerg-3306 649 13 satisfying satisfy VERB fuelectenerg-3306 649 14 restrictions restriction NOUN fuelectenerg-3306 649 15 ... ... PUNCT fuelectenerg-3306 649 16 9 9 NUM fuelectenerg-3306 649 17 h(1 h(1 NOUN fuelectenerg-3306 649 18 , , PUNCT fuelectenerg-3306 649 19 2 2 NUM fuelectenerg-3306 649 20 ) ) PUNCT fuelectenerg-3306 649 21 , , PUNCT fuelectenerg-3306 649 22 and and CCONJ fuelectenerg-3306 649 23 h(2 h(2 NOUN fuelectenerg-3306 649 24 , , PUNCT fuelectenerg-3306 649 25 2 2 NUM fuelectenerg-3306 649 26 ) ) PUNCT fuelectenerg-3306 649 27 . . PUNCT fuelectenerg-3306 650 1 there there PRON fuelectenerg-3306 650 2 are be VERB fuelectenerg-3306 650 3 h h PROPN fuelectenerg-3306 650 4 subsets subset NOUN fuelectenerg-3306 650 5 h(0 h(0 PROPN fuelectenerg-3306 650 6 , , PUNCT fuelectenerg-3306 650 7 0 0 NUM fuelectenerg-3306 650 8 ) ) PUNCT fuelectenerg-3306 650 9 , , PUNCT fuelectenerg-3306 650 10 h(0 h(0 PROPN fuelectenerg-3306 650 11 , , PUNCT fuelectenerg-3306 650 12 1 1 NUM fuelectenerg-3306 650 13 ) ) PUNCT fuelectenerg-3306 650 14 , , PUNCT fuelectenerg-3306 650 15 and and CCONJ fuelectenerg-3306 650 16 h(1 h(1 PROPN fuelectenerg-3306 650 17 , , PUNCT fuelectenerg-3306 650 18 1 1 NUM fuelectenerg-3306 650 19 ) ) PUNCT fuelectenerg-3306 650 20 , , PUNCT fuelectenerg-3306 650 21 that that PRON fuelectenerg-3306 650 22 do do AUX fuelectenerg-3306 650 23 not not PART fuelectenerg-3306 650 24 contain contain VERB fuelectenerg-3306 650 25 any any PRON fuelectenerg-3306 650 26 of of ADP fuelectenerg-3306 650 27 the the DET fuelectenerg-3306 650 28 bent bent ADJ fuelectenerg-3306 650 29 functions function NOUN fuelectenerg-3306 650 30 . . PUNCT fuelectenerg-3306 651 1 example example NOUN fuelectenerg-3306 651 2 6 6 NUM fuelectenerg-3306 651 3 for for ADP fuelectenerg-3306 651 4 bent bent ADJ fuelectenerg-3306 651 5 functions function NOUN fuelectenerg-3306 651 6 with with ADP fuelectenerg-3306 651 7 6 6 NUM fuelectenerg-3306 651 8 variables variable NOUN fuelectenerg-3306 651 9 , , PUNCT fuelectenerg-3306 651 10 there there PRON fuelectenerg-3306 651 11 are be VERB fuelectenerg-3306 651 12 10 10 NUM fuelectenerg-3306 651 13 possible possible ADJ fuelectenerg-3306 651 14 h h NOUN fuelectenerg-3306 651 15 subsets subset NOUN fuelectenerg-3306 651 16 : : PUNCT fuelectenerg-3306 652 1 h(0 h(0 NOUN fuelectenerg-3306 652 2 , , PUNCT fuelectenerg-3306 652 3 0 0 NUM fuelectenerg-3306 652 4 ) ) PUNCT fuelectenerg-3306 652 5 , , PUNCT fuelectenerg-3306 652 6 h(0 h(0 PROPN fuelectenerg-3306 652 7 , , PUNCT fuelectenerg-3306 652 8 1 1 NUM fuelectenerg-3306 652 9 ) ) PUNCT fuelectenerg-3306 652 10 , , PUNCT fuelectenerg-3306 652 11 h(0 h(0 PROPN fuelectenerg-3306 652 12 , , PUNCT fuelectenerg-3306 652 13 2 2 NUM fuelectenerg-3306 652 14 ) ) PUNCT fuelectenerg-3306 652 15 , , PUNCT fuelectenerg-3306 652 16 h(0 h(0 PROPN fuelectenerg-3306 652 17 , , PUNCT fuelectenerg-3306 652 18 3 3 NUM fuelectenerg-3306 652 19 ) ) PUNCT fuelectenerg-3306 652 20 , , PUNCT fuelectenerg-3306 652 21 h(1 h(1 PROPN fuelectenerg-3306 652 22 , , PUNCT fuelectenerg-3306 652 23 1 1 NUM fuelectenerg-3306 652 24 ) ) PUNCT fuelectenerg-3306 652 25 , , PUNCT fuelectenerg-3306 652 26 h(1 h(1 PROPN fuelectenerg-3306 652 27 , , PUNCT fuelectenerg-3306 652 28 2 2 NUM fuelectenerg-3306 652 29 ) ) PUNCT fuelectenerg-3306 652 30 , , PUNCT fuelectenerg-3306 652 31 h(1 h(1 PROPN fuelectenerg-3306 652 32 , , PUNCT fuelectenerg-3306 652 33 3 3 NUM fuelectenerg-3306 652 34 ) ) PUNCT fuelectenerg-3306 652 35 , , PUNCT fuelectenerg-3306 652 36 h(2 h(2 NOUN fuelectenerg-3306 652 37 , , PUNCT fuelectenerg-3306 652 38 2 2 NUM fuelectenerg-3306 652 39 ) ) PUNCT fuelectenerg-3306 652 40 , , PUNCT fuelectenerg-3306 652 41 h(2 h(2 NOUN fuelectenerg-3306 652 42 , , PUNCT fuelectenerg-3306 652 43 3 3 NUM fuelectenerg-3306 652 44 ) ) PUNCT fuelectenerg-3306 652 45 , , PUNCT fuelectenerg-3306 652 46 and and CCONJ fuelectenerg-3306 652 47 h(3 h(3 PROPN fuelectenerg-3306 652 48 , , PUNCT fuelectenerg-3306 652 49 3 3 NUM fuelectenerg-3306 652 50 ) ) PUNCT fuelectenerg-3306 652 51 . . PUNCT fuelectenerg-3306 653 1 some some PRON fuelectenerg-3306 653 2 of of ADP fuelectenerg-3306 653 3 subsets subset NOUN fuelectenerg-3306 653 4 also also ADV fuelectenerg-3306 653 5 do do AUX fuelectenerg-3306 653 6 not not PART fuelectenerg-3306 653 7 contain contain VERB fuelectenerg-3306 653 8 any any PRON fuelectenerg-3306 653 9 of of ADP fuelectenerg-3306 653 10 the the DET fuelectenerg-3306 653 11 bent bent ADJ fuelectenerg-3306 653 12 functions function NOUN fuelectenerg-3306 653 13 . . PUNCT fuelectenerg-3306 654 1 example example NOUN fuelectenerg-3306 654 2 7 7 NUM fuelectenerg-3306 654 3 two two NUM fuelectenerg-3306 654 4 bent bent ADJ fuelectenerg-3306 654 5 functions function NOUN fuelectenerg-3306 654 6 of of ADP fuelectenerg-3306 654 7 4 4 NUM fuelectenerg-3306 654 8 variables variable NOUN fuelectenerg-3306 654 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 654 10 , , PUNCT fuelectenerg-3306 654 11 x2 x2 PROPN fuelectenerg-3306 654 12 , , PUNCT fuelectenerg-3306 654 13 x3 x3 ADJ fuelectenerg-3306 654 14 , , PUNCT fuelectenerg-3306 654 15 x4 x4 PROPN fuelectenerg-3306 654 16 ) ) PUNCT fuelectenerg-3306 654 17 = = PUNCT fuelectenerg-3306 655 1 x1x2 x1x2 PROPN fuelectenerg-3306 655 2 ⊕ ⊕ PROPN fuelectenerg-3306 655 3 x2x4 x2x4 PUNCT fuelectenerg-3306 655 4 ⊕ ⊕ PROPN fuelectenerg-3306 655 5 x3x4 x3x4 ADP fuelectenerg-3306 655 6 , , PUNCT fuelectenerg-3306 655 7 and and CCONJ fuelectenerg-3306 655 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 655 9 , , PUNCT fuelectenerg-3306 655 10 x2 x2 PROPN fuelectenerg-3306 655 11 , , PUNCT fuelectenerg-3306 655 12 x3 x3 ADJ fuelectenerg-3306 655 13 , , PUNCT fuelectenerg-3306 655 14 x4 x4 PROPN fuelectenerg-3306 655 15 ) ) PUNCT fuelectenerg-3306 655 16 = = SYM fuelectenerg-3306 656 1 x1x3 x1x3 PROPN fuelectenerg-3306 656 2 ⊕ ⊕ PROPN fuelectenerg-3306 656 3 x2x4 x2x4 X fuelectenerg-3306 656 4 have have VERB fuelectenerg-3306 656 5 only only ADV fuelectenerg-3306 656 6 second second ADJ fuelectenerg-3306 656 7 order order NOUN fuelectenerg-3306 656 8 non non ADJ fuelectenerg-3306 656 9 - - ADJ fuelectenerg-3306 656 10 zero zero NUM fuelectenerg-3306 656 11 rm rm NOUN fuelectenerg-3306 656 12 - - PUNCT fuelectenerg-3306 656 13 coefficients coefficient NOUN fuelectenerg-3306 656 14 and and CCONJ fuelectenerg-3306 656 15 belong belong VERB fuelectenerg-3306 656 16 to to ADP fuelectenerg-3306 656 17 the the DET fuelectenerg-3306 656 18 same same ADJ fuelectenerg-3306 656 19 subset subset NOUN fuelectenerg-3306 656 20 h(2 h(2 NOUN fuelectenerg-3306 656 21 , , PUNCT fuelectenerg-3306 656 22 2 2 NUM fuelectenerg-3306 656 23 ) ) PUNCT fuelectenerg-3306 656 24 . . PUNCT fuelectenerg-3306 657 1 3.3 3.3 NUM fuelectenerg-3306 657 2 grid grid NOUN fuelectenerg-3306 657 3 subset subset NOUN fuelectenerg-3306 657 4 in in ADP fuelectenerg-3306 657 5 definition definition NOUN fuelectenerg-3306 657 6 of of ADP fuelectenerg-3306 657 7 this this DET fuelectenerg-3306 657 8 subset subset NOUN fuelectenerg-3306 657 9 , , PUNCT fuelectenerg-3306 657 10 we we PRON fuelectenerg-3306 657 11 take take VERB fuelectenerg-3306 657 12 into into ADP fuelectenerg-3306 657 13 account account NOUN fuelectenerg-3306 657 14 both both PRON fuelectenerg-3306 657 15 , , PUNCT fuelectenerg-3306 657 16 the the DET fuelectenerg-3306 657 17 orders order NOUN fuelectenerg-3306 657 18 and and CCONJ fuelectenerg-3306 657 19 the the DET fuelectenerg-3306 657 20 number number NOUN fuelectenerg-3306 657 21 of of ADP fuelectenerg-3306 657 22 the the DET fuelectenerg-3306 657 23 coefficients coefficient NOUN fuelectenerg-3306 657 24 . . PUNCT fuelectenerg-3306 658 1 definition definition NOUN fuelectenerg-3306 658 2 7 7 NUM fuelectenerg-3306 658 3 a a DET fuelectenerg-3306 658 4 bent bent ADJ fuelectenerg-3306 658 5 function function NOUN fuelectenerg-3306 658 6 belongs belong VERB fuelectenerg-3306 658 7 to to ADP fuelectenerg-3306 658 8 the the DET fuelectenerg-3306 658 9 grid grid NOUN fuelectenerg-3306 658 10 ( ( PUNCT fuelectenerg-3306 658 11 k k PROPN fuelectenerg-3306 658 12 , , PUNCT fuelectenerg-3306 658 13 kmin kmin NOUN fuelectenerg-3306 658 14 , , PUNCT fuelectenerg-3306 658 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 658 16 g(k g(k PROPN fuelectenerg-3306 658 17 , , PUNCT fuelectenerg-3306 658 18 kmin kmin NOUN fuelectenerg-3306 658 19 , , PUNCT fuelectenerg-3306 658 20 kmax kmax PROPN fuelectenerg-3306 658 21 ) ) PUNCT fuelectenerg-3306 658 22 iff iff NOUN fuelectenerg-3306 658 23 it it PRON fuelectenerg-3306 658 24 has have VERB fuelectenerg-3306 658 25 k k PROPN fuelectenerg-3306 658 26 non non ADJ fuelectenerg-3306 658 27 - - ADJ fuelectenerg-3306 658 28 zero zero NUM fuelectenerg-3306 658 29 rm rm NOUN fuelectenerg-3306 658 30 - - PUNCT fuelectenerg-3306 658 31 coefficients coefficient NOUN fuelectenerg-3306 658 32 and and CCONJ fuelectenerg-3306 658 33 minimum minimum ADJ fuelectenerg-3306 658 34 order order NOUN fuelectenerg-3306 658 35 of of ADP fuelectenerg-3306 658 36 rm rm PROPN fuelectenerg-3306 658 37 coefficients coefficient NOUN fuelectenerg-3306 658 38 kmin kmin NOUN fuelectenerg-3306 658 39 and and CCONJ fuelectenerg-3306 658 40 maximum maximum ADJ fuelectenerg-3306 658 41 order order NOUN fuelectenerg-3306 658 42 kmax kmax NOUN fuelectenerg-3306 658 43 . . PUNCT fuelectenerg-3306 659 1 the the DET fuelectenerg-3306 659 2 g g PROPN fuelectenerg-3306 659 3 subsets subset NOUN fuelectenerg-3306 659 4 of of ADP fuelectenerg-3306 659 5 bent bent ADJ fuelectenerg-3306 659 6 functions function NOUN fuelectenerg-3306 659 7 are be AUX fuelectenerg-3306 659 8 the the DET fuelectenerg-3306 659 9 intersection intersection NOUN fuelectenerg-3306 659 10 of of ADP fuelectenerg-3306 659 11 v v NOUN fuelectenerg-3306 659 12 and and CCONJ fuelectenerg-3306 659 13 h h NOUN fuelectenerg-3306 659 14 subsets subset NOUN fuelectenerg-3306 659 15 . . PUNCT fuelectenerg-3306 660 1 number number NOUN fuelectenerg-3306 660 2 of of ADP fuelectenerg-3306 660 3 g g PROPN fuelectenerg-3306 660 4 subsets subset NOUN fuelectenerg-3306 660 5 also also ADV fuelectenerg-3306 660 6 depends depend VERB fuelectenerg-3306 660 7 of of ADP fuelectenerg-3306 660 8 the the DET fuelectenerg-3306 660 9 number number NOUN fuelectenerg-3306 660 10 of of ADP fuelectenerg-3306 660 11 variables variable NOUN fuelectenerg-3306 660 12 of of ADP fuelectenerg-3306 660 13 the the DET fuelectenerg-3306 660 14 bent bent ADJ fuelectenerg-3306 660 15 functions function NOUN fuelectenerg-3306 660 16 . . PUNCT fuelectenerg-3306 661 1 for for ADP fuelectenerg-3306 661 2 example example NOUN fuelectenerg-3306 661 3 , , PUNCT fuelectenerg-3306 661 4 there there PRON fuelectenerg-3306 661 5 are be VERB fuelectenerg-3306 661 6 many many ADJ fuelectenerg-3306 661 7 g g NOUN fuelectenerg-3306 661 8 subsets subset NOUN fuelectenerg-3306 661 9 for for ADP fuelectenerg-3306 661 10 bent bent ADJ fuelectenerg-3306 661 11 functions function NOUN fuelectenerg-3306 661 12 with with ADP fuelectenerg-3306 661 13 4 4 NUM fuelectenerg-3306 661 14 variables variable NOUN fuelectenerg-3306 661 15 : : PUNCT fuelectenerg-3306 661 16 v v X fuelectenerg-3306 661 17 ( ( PUNCT fuelectenerg-3306 661 18 1 1 NUM fuelectenerg-3306 661 19 , , PUNCT fuelectenerg-3306 661 20 0 0 NUM fuelectenerg-3306 661 21 , , PUNCT fuelectenerg-3306 661 22 0 0 NUM fuelectenerg-3306 661 23 ) ) PUNCT fuelectenerg-3306 661 24 , , PUNCT fuelectenerg-3306 661 25 h(1 h(1 PROPN fuelectenerg-3306 661 26 , , PUNCT fuelectenerg-3306 661 27 0 0 NUM fuelectenerg-3306 661 28 , , PUNCT fuelectenerg-3306 661 29 1 1 NUM fuelectenerg-3306 661 30 ) ) PUNCT fuelectenerg-3306 661 31 , , PUNCT fuelectenerg-3306 661 32 ... ... PUNCT fuelectenerg-3306 661 33 , , PUNCT fuelectenerg-3306 661 34 h(6 h(6 PROPN fuelectenerg-3306 661 35 , , PUNCT fuelectenerg-3306 661 36 2 2 NUM fuelectenerg-3306 661 37 , , PUNCT fuelectenerg-3306 661 38 2 2 NUM fuelectenerg-3306 661 39 ) ) PUNCT fuelectenerg-3306 661 40 . . PUNCT fuelectenerg-3306 662 1 there there PRON fuelectenerg-3306 662 2 are be VERB fuelectenerg-3306 662 3 also also ADV fuelectenerg-3306 662 4 many many ADJ fuelectenerg-3306 662 5 subsets subset NOUN fuelectenerg-3306 662 6 that that PRON fuelectenerg-3306 662 7 do do AUX fuelectenerg-3306 662 8 not not PART fuelectenerg-3306 662 9 contain contain VERB fuelectenerg-3306 662 10 any any PRON fuelectenerg-3306 662 11 of of ADP fuelectenerg-3306 662 12 the the DET fuelectenerg-3306 662 13 bent bent ADJ fuelectenerg-3306 662 14 functions function NOUN fuelectenerg-3306 662 15 . . PUNCT fuelectenerg-3306 663 1 example example NOUN fuelectenerg-3306 663 2 8 8 NUM fuelectenerg-3306 663 3 two two NUM fuelectenerg-3306 663 4 bent bent ADJ fuelectenerg-3306 663 5 functions function NOUN fuelectenerg-3306 663 6 of of ADP fuelectenerg-3306 663 7 4 4 NUM fuelectenerg-3306 663 8 variables variable NOUN fuelectenerg-3306 663 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 663 10 , , PUNCT fuelectenerg-3306 663 11 x2 x2 PROPN fuelectenerg-3306 663 12 , , PUNCT fuelectenerg-3306 663 13 x3 x3 ADJ fuelectenerg-3306 663 14 , , PUNCT fuelectenerg-3306 663 15 x4 x4 PROPN fuelectenerg-3306 663 16 ) ) PUNCT fuelectenerg-3306 663 17 = = SYM fuelectenerg-3306 664 1 x1x2 x1x2 PROPN fuelectenerg-3306 664 2 ⊕ ⊕ PROPN fuelectenerg-3306 664 3 x3x4 x3x4 ADP fuelectenerg-3306 664 4 , , PUNCT fuelectenerg-3306 664 5 and and CCONJ fuelectenerg-3306 664 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 664 7 , , PUNCT fuelectenerg-3306 664 8 x2 x2 PROPN fuelectenerg-3306 664 9 , , PUNCT fuelectenerg-3306 664 10 x3 x3 ADJ fuelectenerg-3306 664 11 , , PUNCT fuelectenerg-3306 664 12 x4 x4 PROPN fuelectenerg-3306 664 13 ) ) PUNCT fuelectenerg-3306 664 14 = = SYM fuelectenerg-3306 665 1 x1x3 x1x3 PROPN fuelectenerg-3306 665 2 ⊕ ⊕ PROPN fuelectenerg-3306 665 3 x2x4 x2x4 X fuelectenerg-3306 665 4 have have VERB fuelectenerg-3306 665 5 only only ADV fuelectenerg-3306 665 6 2 2 NUM fuelectenerg-3306 665 7 and and CCONJ fuelectenerg-3306 665 8 second second ADJ fuelectenerg-3306 665 9 order order NOUN fuelectenerg-3306 665 10 non non ADJ fuelectenerg-3306 665 11 - - ADJ fuelectenerg-3306 665 12 zero zero NUM fuelectenerg-3306 665 13 rm rm NOUN fuelectenerg-3306 665 14 - - PUNCT fuelectenerg-3306 665 15 coefficients coefficient NOUN fuelectenerg-3306 665 16 and and CCONJ fuelectenerg-3306 665 17 belong belong VERB fuelectenerg-3306 665 18 to to ADP fuelectenerg-3306 665 19 the the DET fuelectenerg-3306 665 20 same same ADJ fuelectenerg-3306 665 21 subset subset NOUN fuelectenerg-3306 665 22 g(2 g(2 PROPN fuelectenerg-3306 665 23 , , PUNCT fuelectenerg-3306 665 24 2 2 NUM fuelectenerg-3306 665 25 , , PUNCT fuelectenerg-3306 665 26 2 2 NUM fuelectenerg-3306 665 27 ) ) PUNCT fuelectenerg-3306 665 28 . . PUNCT fuelectenerg-3306 666 1 it it PRON fuelectenerg-3306 666 2 should should AUX fuelectenerg-3306 666 3 be be AUX fuelectenerg-3306 666 4 noticed notice VERB fuelectenerg-3306 666 5 that that SCONJ fuelectenerg-3306 666 6 there there PRON fuelectenerg-3306 666 7 are be VERB fuelectenerg-3306 666 8 bent bent ADJ fuelectenerg-3306 666 9 functions function NOUN fuelectenerg-3306 666 10 that that PRON fuelectenerg-3306 666 11 do do AUX fuelectenerg-3306 666 12 not not PART fuelectenerg-3306 666 13 belongs belong VERB fuelectenerg-3306 666 14 to to ADP fuelectenerg-3306 666 15 any any PRON fuelectenerg-3306 666 16 of of ADP fuelectenerg-3306 666 17 g g PROPN fuelectenerg-3306 666 18 subsets subset NOUN fuelectenerg-3306 666 19 . . PUNCT fuelectenerg-3306 667 1 4 4 NUM fuelectenerg-3306 667 2 experimental experimental ADJ fuelectenerg-3306 667 3 results result NOUN fuelectenerg-3306 667 4 in in ADP fuelectenerg-3306 667 5 this this DET fuelectenerg-3306 667 6 section section NOUN fuelectenerg-3306 667 7 , , PUNCT fuelectenerg-3306 667 8 we we PRON fuelectenerg-3306 667 9 made make VERB fuelectenerg-3306 667 10 enumeration enumeration NOUN fuelectenerg-3306 667 11 of of ADP fuelectenerg-3306 667 12 bent bent ADJ fuelectenerg-3306 667 13 functions function NOUN fuelectenerg-3306 667 14 in in ADP fuelectenerg-3306 667 15 some some DET fuelectenerg-3306 667 16 vertical vertical ADJ fuelectenerg-3306 667 17 , , PUNCT fuelectenerg-3306 667 18 horizontal horizontal ADJ fuelectenerg-3306 667 19 and and CCONJ fuelectenerg-3306 667 20 grid grid NOUN fuelectenerg-3306 667 21 subsets subset NOUN fuelectenerg-3306 667 22 for for ADP fuelectenerg-3306 667 23 functions function NOUN fuelectenerg-3306 667 24 with with ADP fuelectenerg-3306 667 25 4 4 NUM fuelectenerg-3306 667 26 , , PUNCT fuelectenerg-3306 667 27 6 6 NUM fuelectenerg-3306 667 28 , , PUNCT fuelectenerg-3306 667 29 and and CCONJ fuelectenerg-3306 667 30 8 8 NUM fuelectenerg-3306 667 31 variables variable NOUN fuelectenerg-3306 667 32 . . PUNCT fuelectenerg-3306 668 1 there there PRON fuelectenerg-3306 668 2 are be VERB fuelectenerg-3306 668 3 two two NUM fuelectenerg-3306 668 4 types type NOUN fuelectenerg-3306 668 5 of of ADP fuelectenerg-3306 668 6 methods method NOUN fuelectenerg-3306 668 7 for for ADP fuelectenerg-3306 668 8 enumerations enumeration NOUN fuelectenerg-3306 668 9 of of ADP fuelectenerg-3306 668 10 bent bent ADJ fuelectenerg-3306 668 11 functions function NOUN fuelectenerg-3306 668 12 , , PUNCT fuelectenerg-3306 668 13 primary primary ADJ fuelectenerg-3306 668 14 and and CCONJ fuelectenerg-3306 668 15 secondary secondary ADJ fuelectenerg-3306 668 16 . . PUNCT fuelectenerg-3306 669 1 the the DET fuelectenerg-3306 669 2 primary primary ADJ fuelectenerg-3306 669 3 methods method NOUN fuelectenerg-3306 669 4 are be AUX fuelectenerg-3306 669 5 based base VERB fuelectenerg-3306 669 6 on on ADP fuelectenerg-3306 669 7 the the DET fuelectenerg-3306 669 8 direct direct ADJ fuelectenerg-3306 669 9 enumeration enumeration NOUN fuelectenerg-3306 669 10 in in ADP fuelectenerg-3306 669 11 the the DET fuelectenerg-3306 669 12 boolean boolean ADJ fuelectenerg-3306 669 13 domain domain NOUN fuelectenerg-3306 669 14 . . PUNCT fuelectenerg-3306 670 1 the the DET fuelectenerg-3306 670 2 secondary secondary ADJ fuelectenerg-3306 670 3 methods method NOUN fuelectenerg-3306 670 4 are be AUX fuelectenerg-3306 670 5 based base VERB fuelectenerg-3306 670 6 on on ADP fuelectenerg-3306 670 7 construction construction NOUN fuelectenerg-3306 670 8 of of ADP fuelectenerg-3306 670 9 subsets subset NOUN fuelectenerg-3306 670 10 of of ADP fuelectenerg-3306 670 11 bent bent ADJ fuelectenerg-3306 670 12 functions function NOUN fuelectenerg-3306 670 13 satisfying satisfy VERB fuelectenerg-3306 670 14 restrictions restriction NOUN fuelectenerg-3306 670 15 ... ... PUNCT fuelectenerg-3306 670 16 9 9 NUM fuelectenerg-3306 670 17 h(1 h(1 NOUN fuelectenerg-3306 670 18 , , PUNCT fuelectenerg-3306 670 19 2 2 NUM fuelectenerg-3306 670 20 ) ) PUNCT fuelectenerg-3306 670 21 , , PUNCT fuelectenerg-3306 670 22 and and CCONJ fuelectenerg-3306 670 23 h(2 h(2 NOUN fuelectenerg-3306 670 24 , , PUNCT fuelectenerg-3306 670 25 2 2 NUM fuelectenerg-3306 670 26 ) ) PUNCT fuelectenerg-3306 670 27 . . PUNCT fuelectenerg-3306 671 1 there there PRON fuelectenerg-3306 671 2 are be VERB fuelectenerg-3306 671 3 h h PROPN fuelectenerg-3306 671 4 subsets subset NOUN fuelectenerg-3306 671 5 h(0 h(0 PROPN fuelectenerg-3306 671 6 , , PUNCT fuelectenerg-3306 671 7 0 0 NUM fuelectenerg-3306 671 8 ) ) PUNCT fuelectenerg-3306 671 9 , , PUNCT fuelectenerg-3306 671 10 h(0 h(0 PROPN fuelectenerg-3306 671 11 , , PUNCT fuelectenerg-3306 671 12 1 1 NUM fuelectenerg-3306 671 13 ) ) PUNCT fuelectenerg-3306 671 14 , , PUNCT fuelectenerg-3306 671 15 and and CCONJ fuelectenerg-3306 671 16 h(1 h(1 PROPN fuelectenerg-3306 671 17 , , PUNCT fuelectenerg-3306 671 18 1 1 NUM fuelectenerg-3306 671 19 ) ) PUNCT fuelectenerg-3306 671 20 , , PUNCT fuelectenerg-3306 671 21 that that PRON fuelectenerg-3306 671 22 do do AUX fuelectenerg-3306 671 23 not not PART fuelectenerg-3306 671 24 contain contain VERB fuelectenerg-3306 671 25 any any PRON fuelectenerg-3306 671 26 of of ADP fuelectenerg-3306 671 27 the the DET fuelectenerg-3306 671 28 bent bent ADJ fuelectenerg-3306 671 29 functions function NOUN fuelectenerg-3306 671 30 . . PUNCT fuelectenerg-3306 672 1 example example NOUN fuelectenerg-3306 672 2 6 6 NUM fuelectenerg-3306 672 3 for for ADP fuelectenerg-3306 672 4 bent bent ADJ fuelectenerg-3306 672 5 functions function NOUN fuelectenerg-3306 672 6 with with ADP fuelectenerg-3306 672 7 6 6 NUM fuelectenerg-3306 672 8 variables variable NOUN fuelectenerg-3306 672 9 , , PUNCT fuelectenerg-3306 672 10 there there PRON fuelectenerg-3306 672 11 are be VERB fuelectenerg-3306 672 12 10 10 NUM fuelectenerg-3306 672 13 possible possible ADJ fuelectenerg-3306 672 14 h h NOUN fuelectenerg-3306 672 15 subsets subset NOUN fuelectenerg-3306 672 16 : : PUNCT fuelectenerg-3306 673 1 h(0 h(0 NOUN fuelectenerg-3306 673 2 , , PUNCT fuelectenerg-3306 673 3 0 0 NUM fuelectenerg-3306 673 4 ) ) PUNCT fuelectenerg-3306 673 5 , , PUNCT fuelectenerg-3306 673 6 h(0 h(0 PROPN fuelectenerg-3306 673 7 , , PUNCT fuelectenerg-3306 673 8 1 1 NUM fuelectenerg-3306 673 9 ) ) PUNCT fuelectenerg-3306 673 10 , , PUNCT fuelectenerg-3306 673 11 h(0 h(0 PROPN fuelectenerg-3306 673 12 , , PUNCT fuelectenerg-3306 673 13 2 2 NUM fuelectenerg-3306 673 14 ) ) PUNCT fuelectenerg-3306 673 15 , , PUNCT fuelectenerg-3306 673 16 h(0 h(0 PROPN fuelectenerg-3306 673 17 , , PUNCT fuelectenerg-3306 673 18 3 3 NUM fuelectenerg-3306 673 19 ) ) PUNCT fuelectenerg-3306 673 20 , , PUNCT fuelectenerg-3306 673 21 h(1 h(1 PROPN fuelectenerg-3306 673 22 , , PUNCT fuelectenerg-3306 673 23 1 1 NUM fuelectenerg-3306 673 24 ) ) PUNCT fuelectenerg-3306 673 25 , , PUNCT fuelectenerg-3306 673 26 h(1 h(1 PROPN fuelectenerg-3306 673 27 , , PUNCT fuelectenerg-3306 673 28 2 2 NUM fuelectenerg-3306 673 29 ) ) PUNCT fuelectenerg-3306 673 30 , , PUNCT fuelectenerg-3306 673 31 h(1 h(1 PROPN fuelectenerg-3306 673 32 , , PUNCT fuelectenerg-3306 673 33 3 3 NUM fuelectenerg-3306 673 34 ) ) PUNCT fuelectenerg-3306 673 35 , , PUNCT fuelectenerg-3306 673 36 h(2 h(2 NOUN fuelectenerg-3306 673 37 , , PUNCT fuelectenerg-3306 673 38 2 2 NUM fuelectenerg-3306 673 39 ) ) PUNCT fuelectenerg-3306 673 40 , , PUNCT fuelectenerg-3306 673 41 h(2 h(2 NOUN fuelectenerg-3306 673 42 , , PUNCT fuelectenerg-3306 673 43 3 3 NUM fuelectenerg-3306 673 44 ) ) PUNCT fuelectenerg-3306 673 45 , , PUNCT fuelectenerg-3306 673 46 and and CCONJ fuelectenerg-3306 673 47 h(3 h(3 PROPN fuelectenerg-3306 673 48 , , PUNCT fuelectenerg-3306 673 49 3 3 NUM fuelectenerg-3306 673 50 ) ) PUNCT fuelectenerg-3306 673 51 . . PUNCT fuelectenerg-3306 674 1 some some PRON fuelectenerg-3306 674 2 of of ADP fuelectenerg-3306 674 3 subsets subset NOUN fuelectenerg-3306 674 4 also also ADV fuelectenerg-3306 674 5 do do AUX fuelectenerg-3306 674 6 not not PART fuelectenerg-3306 674 7 contain contain VERB fuelectenerg-3306 674 8 any any PRON fuelectenerg-3306 674 9 of of ADP fuelectenerg-3306 674 10 the the DET fuelectenerg-3306 674 11 bent bent ADJ fuelectenerg-3306 674 12 functions function NOUN fuelectenerg-3306 674 13 . . PUNCT fuelectenerg-3306 675 1 example example NOUN fuelectenerg-3306 675 2 7 7 NUM fuelectenerg-3306 675 3 two two NUM fuelectenerg-3306 675 4 bent bent ADJ fuelectenerg-3306 675 5 functions function NOUN fuelectenerg-3306 675 6 of of ADP fuelectenerg-3306 675 7 4 4 NUM fuelectenerg-3306 675 8 variables variable NOUN fuelectenerg-3306 675 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 675 10 , , PUNCT fuelectenerg-3306 675 11 x2 x2 PROPN fuelectenerg-3306 675 12 , , PUNCT fuelectenerg-3306 675 13 x3 x3 ADJ fuelectenerg-3306 675 14 , , PUNCT fuelectenerg-3306 675 15 x4 x4 PROPN fuelectenerg-3306 675 16 ) ) PUNCT fuelectenerg-3306 675 17 = = PUNCT fuelectenerg-3306 676 1 x1x2 x1x2 PROPN fuelectenerg-3306 676 2 ⊕ ⊕ PROPN fuelectenerg-3306 676 3 x2x4 x2x4 PUNCT fuelectenerg-3306 676 4 ⊕ ⊕ PROPN fuelectenerg-3306 676 5 x3x4 x3x4 ADP fuelectenerg-3306 676 6 , , PUNCT fuelectenerg-3306 676 7 and and CCONJ fuelectenerg-3306 676 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 676 9 , , PUNCT fuelectenerg-3306 676 10 x2 x2 PROPN fuelectenerg-3306 676 11 , , PUNCT fuelectenerg-3306 676 12 x3 x3 ADJ fuelectenerg-3306 676 13 , , PUNCT fuelectenerg-3306 676 14 x4 x4 PROPN fuelectenerg-3306 676 15 ) ) PUNCT fuelectenerg-3306 676 16 = = SYM fuelectenerg-3306 677 1 x1x3 x1x3 PROPN fuelectenerg-3306 677 2 ⊕ ⊕ PROPN fuelectenerg-3306 677 3 x2x4 x2x4 X fuelectenerg-3306 677 4 have have VERB fuelectenerg-3306 677 5 only only ADV fuelectenerg-3306 677 6 second second ADJ fuelectenerg-3306 677 7 order order NOUN fuelectenerg-3306 677 8 non non ADJ fuelectenerg-3306 677 9 - - ADJ fuelectenerg-3306 677 10 zero zero NUM fuelectenerg-3306 677 11 rm rm NOUN fuelectenerg-3306 677 12 - - PUNCT fuelectenerg-3306 677 13 coefficients coefficient NOUN fuelectenerg-3306 677 14 and and CCONJ fuelectenerg-3306 677 15 belong belong VERB fuelectenerg-3306 677 16 to to ADP fuelectenerg-3306 677 17 the the DET fuelectenerg-3306 677 18 same same ADJ fuelectenerg-3306 677 19 subset subset NOUN fuelectenerg-3306 677 20 h(2 h(2 NOUN fuelectenerg-3306 677 21 , , PUNCT fuelectenerg-3306 677 22 2 2 NUM fuelectenerg-3306 677 23 ) ) PUNCT fuelectenerg-3306 677 24 . . PUNCT fuelectenerg-3306 678 1 3.3 3.3 NUM fuelectenerg-3306 678 2 grid grid NOUN fuelectenerg-3306 678 3 subset subset NOUN fuelectenerg-3306 678 4 in in ADP fuelectenerg-3306 678 5 definition definition NOUN fuelectenerg-3306 678 6 of of ADP fuelectenerg-3306 678 7 this this DET fuelectenerg-3306 678 8 subset subset NOUN fuelectenerg-3306 678 9 , , PUNCT fuelectenerg-3306 678 10 we we PRON fuelectenerg-3306 678 11 take take VERB fuelectenerg-3306 678 12 into into ADP fuelectenerg-3306 678 13 account account NOUN fuelectenerg-3306 678 14 both both PRON fuelectenerg-3306 678 15 , , PUNCT fuelectenerg-3306 678 16 the the DET fuelectenerg-3306 678 17 orders order NOUN fuelectenerg-3306 678 18 and and CCONJ fuelectenerg-3306 678 19 the the DET fuelectenerg-3306 678 20 number number NOUN fuelectenerg-3306 678 21 of of ADP fuelectenerg-3306 678 22 the the DET fuelectenerg-3306 678 23 coefficients coefficient NOUN fuelectenerg-3306 678 24 . . PUNCT fuelectenerg-3306 679 1 definition definition NOUN fuelectenerg-3306 679 2 7 7 NUM fuelectenerg-3306 679 3 a a DET fuelectenerg-3306 679 4 bent bent ADJ fuelectenerg-3306 679 5 function function NOUN fuelectenerg-3306 679 6 belongs belong VERB fuelectenerg-3306 679 7 to to ADP fuelectenerg-3306 679 8 the the DET fuelectenerg-3306 679 9 grid grid NOUN fuelectenerg-3306 679 10 ( ( PUNCT fuelectenerg-3306 679 11 k k PROPN fuelectenerg-3306 679 12 , , PUNCT fuelectenerg-3306 679 13 kmin kmin NOUN fuelectenerg-3306 679 14 , , PUNCT fuelectenerg-3306 679 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 679 16 g(k g(k PROPN fuelectenerg-3306 679 17 , , PUNCT fuelectenerg-3306 679 18 kmin kmin NOUN fuelectenerg-3306 679 19 , , PUNCT fuelectenerg-3306 679 20 kmax kmax PROPN fuelectenerg-3306 679 21 ) ) PUNCT fuelectenerg-3306 679 22 iff iff NOUN fuelectenerg-3306 679 23 it it PRON fuelectenerg-3306 679 24 has have VERB fuelectenerg-3306 679 25 k k PROPN fuelectenerg-3306 679 26 non non ADJ fuelectenerg-3306 679 27 - - ADJ fuelectenerg-3306 679 28 zero zero NUM fuelectenerg-3306 679 29 rm rm NOUN fuelectenerg-3306 679 30 - - PUNCT fuelectenerg-3306 679 31 coefficients coefficient NOUN fuelectenerg-3306 679 32 and and CCONJ fuelectenerg-3306 679 33 minimum minimum ADJ fuelectenerg-3306 679 34 order order NOUN fuelectenerg-3306 679 35 of of ADP fuelectenerg-3306 679 36 rm rm PROPN fuelectenerg-3306 679 37 coefficients coefficient NOUN fuelectenerg-3306 679 38 kmin kmin NOUN fuelectenerg-3306 679 39 and and CCONJ fuelectenerg-3306 679 40 maximum maximum ADJ fuelectenerg-3306 679 41 order order NOUN fuelectenerg-3306 679 42 kmax kmax NOUN fuelectenerg-3306 679 43 . . PUNCT fuelectenerg-3306 680 1 the the DET fuelectenerg-3306 680 2 g g PROPN fuelectenerg-3306 680 3 subsets subset NOUN fuelectenerg-3306 680 4 of of ADP fuelectenerg-3306 680 5 bent bent ADJ fuelectenerg-3306 680 6 functions function NOUN fuelectenerg-3306 680 7 are be AUX fuelectenerg-3306 680 8 the the DET fuelectenerg-3306 680 9 intersection intersection NOUN fuelectenerg-3306 680 10 of of ADP fuelectenerg-3306 680 11 v v NOUN fuelectenerg-3306 680 12 and and CCONJ fuelectenerg-3306 680 13 h h NOUN fuelectenerg-3306 680 14 subsets subset NOUN fuelectenerg-3306 680 15 . . PUNCT fuelectenerg-3306 681 1 number number NOUN fuelectenerg-3306 681 2 of of ADP fuelectenerg-3306 681 3 g g PROPN fuelectenerg-3306 681 4 subsets subset NOUN fuelectenerg-3306 681 5 also also ADV fuelectenerg-3306 681 6 depends depend VERB fuelectenerg-3306 681 7 of of ADP fuelectenerg-3306 681 8 the the DET fuelectenerg-3306 681 9 number number NOUN fuelectenerg-3306 681 10 of of ADP fuelectenerg-3306 681 11 variables variable NOUN fuelectenerg-3306 681 12 of of ADP fuelectenerg-3306 681 13 the the DET fuelectenerg-3306 681 14 bent bent ADJ fuelectenerg-3306 681 15 functions function NOUN fuelectenerg-3306 681 16 . . PUNCT fuelectenerg-3306 682 1 for for ADP fuelectenerg-3306 682 2 example example NOUN fuelectenerg-3306 682 3 , , PUNCT fuelectenerg-3306 682 4 there there PRON fuelectenerg-3306 682 5 are be VERB fuelectenerg-3306 682 6 many many ADJ fuelectenerg-3306 682 7 g g NOUN fuelectenerg-3306 682 8 subsets subset NOUN fuelectenerg-3306 682 9 for for ADP fuelectenerg-3306 682 10 bent bent ADJ fuelectenerg-3306 682 11 functions function NOUN fuelectenerg-3306 682 12 with with ADP fuelectenerg-3306 682 13 4 4 NUM fuelectenerg-3306 682 14 variables variable NOUN fuelectenerg-3306 682 15 : : PUNCT fuelectenerg-3306 682 16 v v X fuelectenerg-3306 682 17 ( ( PUNCT fuelectenerg-3306 682 18 1 1 NUM fuelectenerg-3306 682 19 , , PUNCT fuelectenerg-3306 682 20 0 0 NUM fuelectenerg-3306 682 21 , , PUNCT fuelectenerg-3306 682 22 0 0 NUM fuelectenerg-3306 682 23 ) ) PUNCT fuelectenerg-3306 682 24 , , PUNCT fuelectenerg-3306 682 25 h(1 h(1 PROPN fuelectenerg-3306 682 26 , , PUNCT fuelectenerg-3306 682 27 0 0 NUM fuelectenerg-3306 682 28 , , PUNCT fuelectenerg-3306 682 29 1 1 NUM fuelectenerg-3306 682 30 ) ) PUNCT fuelectenerg-3306 682 31 , , PUNCT fuelectenerg-3306 682 32 ... ... PUNCT fuelectenerg-3306 682 33 , , PUNCT fuelectenerg-3306 682 34 h(6 h(6 PROPN fuelectenerg-3306 682 35 , , PUNCT fuelectenerg-3306 682 36 2 2 NUM fuelectenerg-3306 682 37 , , PUNCT fuelectenerg-3306 682 38 2 2 NUM fuelectenerg-3306 682 39 ) ) PUNCT fuelectenerg-3306 682 40 . . PUNCT fuelectenerg-3306 683 1 there there PRON fuelectenerg-3306 683 2 are be VERB fuelectenerg-3306 683 3 also also ADV fuelectenerg-3306 683 4 many many ADJ fuelectenerg-3306 683 5 subsets subset NOUN fuelectenerg-3306 683 6 that that PRON fuelectenerg-3306 683 7 do do AUX fuelectenerg-3306 683 8 not not PART fuelectenerg-3306 683 9 contain contain VERB fuelectenerg-3306 683 10 any any PRON fuelectenerg-3306 683 11 of of ADP fuelectenerg-3306 683 12 the the DET fuelectenerg-3306 683 13 bent bent ADJ fuelectenerg-3306 683 14 functions function NOUN fuelectenerg-3306 683 15 . . PUNCT fuelectenerg-3306 684 1 example example NOUN fuelectenerg-3306 684 2 8 8 NUM fuelectenerg-3306 684 3 two two NUM fuelectenerg-3306 684 4 bent bent ADJ fuelectenerg-3306 684 5 functions function NOUN fuelectenerg-3306 684 6 of of ADP fuelectenerg-3306 684 7 4 4 NUM fuelectenerg-3306 684 8 variables variable NOUN fuelectenerg-3306 684 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 684 10 , , PUNCT fuelectenerg-3306 684 11 x2 x2 PROPN fuelectenerg-3306 684 12 , , PUNCT fuelectenerg-3306 684 13 x3 x3 ADJ fuelectenerg-3306 684 14 , , PUNCT fuelectenerg-3306 684 15 x4 x4 PROPN fuelectenerg-3306 684 16 ) ) PUNCT fuelectenerg-3306 684 17 = = SYM fuelectenerg-3306 685 1 x1x2 x1x2 PROPN fuelectenerg-3306 685 2 ⊕ ⊕ PROPN fuelectenerg-3306 685 3 x3x4 x3x4 ADP fuelectenerg-3306 685 4 , , PUNCT fuelectenerg-3306 685 5 and and CCONJ fuelectenerg-3306 685 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 685 7 , , PUNCT fuelectenerg-3306 685 8 x2 x2 PROPN fuelectenerg-3306 685 9 , , PUNCT fuelectenerg-3306 685 10 x3 x3 ADJ fuelectenerg-3306 685 11 , , PUNCT fuelectenerg-3306 685 12 x4 x4 PROPN fuelectenerg-3306 685 13 ) ) PUNCT fuelectenerg-3306 685 14 = = SYM fuelectenerg-3306 686 1 x1x3 x1x3 PROPN fuelectenerg-3306 686 2 ⊕ ⊕ PROPN fuelectenerg-3306 686 3 x2x4 x2x4 X fuelectenerg-3306 686 4 have have VERB fuelectenerg-3306 686 5 only only ADV fuelectenerg-3306 686 6 2 2 NUM fuelectenerg-3306 686 7 and and CCONJ fuelectenerg-3306 686 8 second second ADJ fuelectenerg-3306 686 9 order order NOUN fuelectenerg-3306 686 10 non non ADJ fuelectenerg-3306 686 11 - - ADJ fuelectenerg-3306 686 12 zero zero NUM fuelectenerg-3306 686 13 rm rm NOUN fuelectenerg-3306 686 14 - - PUNCT fuelectenerg-3306 686 15 coefficients coefficient NOUN fuelectenerg-3306 686 16 and and CCONJ fuelectenerg-3306 686 17 belong belong VERB fuelectenerg-3306 686 18 to to ADP fuelectenerg-3306 686 19 the the DET fuelectenerg-3306 686 20 same same ADJ fuelectenerg-3306 686 21 subset subset NOUN fuelectenerg-3306 686 22 g(2 g(2 PROPN fuelectenerg-3306 686 23 , , PUNCT fuelectenerg-3306 686 24 2 2 NUM fuelectenerg-3306 686 25 , , PUNCT fuelectenerg-3306 686 26 2 2 NUM fuelectenerg-3306 686 27 ) ) PUNCT fuelectenerg-3306 686 28 . . PUNCT fuelectenerg-3306 687 1 it it PRON fuelectenerg-3306 687 2 should should AUX fuelectenerg-3306 687 3 be be AUX fuelectenerg-3306 687 4 noticed notice VERB fuelectenerg-3306 687 5 that that SCONJ fuelectenerg-3306 687 6 there there PRON fuelectenerg-3306 687 7 are be VERB fuelectenerg-3306 687 8 bent bent ADJ fuelectenerg-3306 687 9 functions function NOUN fuelectenerg-3306 687 10 that that PRON fuelectenerg-3306 687 11 do do AUX fuelectenerg-3306 687 12 not not PART fuelectenerg-3306 687 13 belongs belong VERB fuelectenerg-3306 687 14 to to ADP fuelectenerg-3306 687 15 any any PRON fuelectenerg-3306 687 16 of of ADP fuelectenerg-3306 687 17 g g PROPN fuelectenerg-3306 687 18 subsets subset NOUN fuelectenerg-3306 687 19 . . PUNCT fuelectenerg-3306 688 1 4 4 NUM fuelectenerg-3306 688 2 experimental experimental ADJ fuelectenerg-3306 688 3 results result NOUN fuelectenerg-3306 688 4 in in ADP fuelectenerg-3306 688 5 this this DET fuelectenerg-3306 688 6 section section NOUN fuelectenerg-3306 688 7 , , PUNCT fuelectenerg-3306 688 8 we we PRON fuelectenerg-3306 688 9 made make VERB fuelectenerg-3306 688 10 enumeration enumeration NOUN fuelectenerg-3306 688 11 of of ADP fuelectenerg-3306 688 12 bent bent ADJ fuelectenerg-3306 688 13 functions function NOUN fuelectenerg-3306 688 14 in in ADP fuelectenerg-3306 688 15 some some DET fuelectenerg-3306 688 16 vertical vertical ADJ fuelectenerg-3306 688 17 , , PUNCT fuelectenerg-3306 688 18 horizontal horizontal ADJ fuelectenerg-3306 688 19 and and CCONJ fuelectenerg-3306 688 20 grid grid NOUN fuelectenerg-3306 688 21 subsets subset NOUN fuelectenerg-3306 688 22 for for ADP fuelectenerg-3306 688 23 functions function NOUN fuelectenerg-3306 688 24 with with ADP fuelectenerg-3306 688 25 4 4 NUM fuelectenerg-3306 688 26 , , PUNCT fuelectenerg-3306 688 27 6 6 NUM fuelectenerg-3306 688 28 , , PUNCT fuelectenerg-3306 688 29 and and CCONJ fuelectenerg-3306 688 30 8 8 NUM fuelectenerg-3306 688 31 variables variable NOUN fuelectenerg-3306 688 32 . . PUNCT fuelectenerg-3306 689 1 there there PRON fuelectenerg-3306 689 2 are be VERB fuelectenerg-3306 689 3 two two NUM fuelectenerg-3306 689 4 types type NOUN fuelectenerg-3306 689 5 of of ADP fuelectenerg-3306 689 6 methods method NOUN fuelectenerg-3306 689 7 for for ADP fuelectenerg-3306 689 8 enumerations enumeration NOUN fuelectenerg-3306 689 9 of of ADP fuelectenerg-3306 689 10 bent bent ADJ fuelectenerg-3306 689 11 functions function NOUN fuelectenerg-3306 689 12 , , PUNCT fuelectenerg-3306 689 13 primary primary ADJ fuelectenerg-3306 689 14 and and CCONJ fuelectenerg-3306 689 15 secondary secondary ADJ fuelectenerg-3306 689 16 . . PUNCT fuelectenerg-3306 690 1 the the DET fuelectenerg-3306 690 2 primary primary ADJ fuelectenerg-3306 690 3 methods method NOUN fuelectenerg-3306 690 4 are be AUX fuelectenerg-3306 690 5 based base VERB fuelectenerg-3306 690 6 on on ADP fuelectenerg-3306 690 7 the the DET fuelectenerg-3306 690 8 direct direct ADJ fuelectenerg-3306 690 9 enumeration enumeration NOUN fuelectenerg-3306 690 10 in in ADP fuelectenerg-3306 690 11 the the DET fuelectenerg-3306 690 12 boolean boolean ADJ fuelectenerg-3306 690 13 domain domain NOUN fuelectenerg-3306 690 14 . . PUNCT fuelectenerg-3306 691 1 the the DET fuelectenerg-3306 691 2 secondary secondary ADJ fuelectenerg-3306 691 3 methods method NOUN fuelectenerg-3306 691 4 are be AUX fuelectenerg-3306 691 5 based base VERB fuelectenerg-3306 691 6 on on ADP fuelectenerg-3306 691 7 construction construction NOUN fuelectenerg-3306 691 8 of of ADP fuelectenerg-3306 691 9 subsets subset NOUN fuelectenerg-3306 691 10 of of ADP fuelectenerg-3306 691 11 bent bent ADJ fuelectenerg-3306 691 12 functions function NOUN fuelectenerg-3306 691 13 satisfying satisfy VERB fuelectenerg-3306 691 14 restrictions restriction NOUN fuelectenerg-3306 691 15 ... ... PUNCT fuelectenerg-3306 691 16 9 9 NUM fuelectenerg-3306 691 17 h(1 h(1 NOUN fuelectenerg-3306 691 18 , , PUNCT fuelectenerg-3306 691 19 2 2 NUM fuelectenerg-3306 691 20 ) ) PUNCT fuelectenerg-3306 691 21 , , PUNCT fuelectenerg-3306 691 22 and and CCONJ fuelectenerg-3306 691 23 h(2 h(2 NOUN fuelectenerg-3306 691 24 , , PUNCT fuelectenerg-3306 691 25 2 2 NUM fuelectenerg-3306 691 26 ) ) PUNCT fuelectenerg-3306 691 27 . . PUNCT fuelectenerg-3306 692 1 there there PRON fuelectenerg-3306 692 2 are be VERB fuelectenerg-3306 692 3 h h PROPN fuelectenerg-3306 692 4 subsets subset NOUN fuelectenerg-3306 692 5 h(0 h(0 PROPN fuelectenerg-3306 692 6 , , PUNCT fuelectenerg-3306 692 7 0 0 NUM fuelectenerg-3306 692 8 ) ) PUNCT fuelectenerg-3306 692 9 , , PUNCT fuelectenerg-3306 692 10 h(0 h(0 PROPN fuelectenerg-3306 692 11 , , PUNCT fuelectenerg-3306 692 12 1 1 NUM fuelectenerg-3306 692 13 ) ) PUNCT fuelectenerg-3306 692 14 , , PUNCT fuelectenerg-3306 692 15 and and CCONJ fuelectenerg-3306 692 16 h(1 h(1 PROPN fuelectenerg-3306 692 17 , , PUNCT fuelectenerg-3306 692 18 1 1 NUM fuelectenerg-3306 692 19 ) ) PUNCT fuelectenerg-3306 692 20 , , PUNCT fuelectenerg-3306 692 21 that that PRON fuelectenerg-3306 692 22 do do AUX fuelectenerg-3306 692 23 not not PART fuelectenerg-3306 692 24 contain contain VERB fuelectenerg-3306 692 25 any any PRON fuelectenerg-3306 692 26 of of ADP fuelectenerg-3306 692 27 the the DET fuelectenerg-3306 692 28 bent bent ADJ fuelectenerg-3306 692 29 functions function NOUN fuelectenerg-3306 692 30 . . PUNCT fuelectenerg-3306 693 1 example example NOUN fuelectenerg-3306 693 2 6 6 NUM fuelectenerg-3306 693 3 for for ADP fuelectenerg-3306 693 4 bent bent ADJ fuelectenerg-3306 693 5 functions function NOUN fuelectenerg-3306 693 6 with with ADP fuelectenerg-3306 693 7 6 6 NUM fuelectenerg-3306 693 8 variables variable NOUN fuelectenerg-3306 693 9 , , PUNCT fuelectenerg-3306 693 10 there there PRON fuelectenerg-3306 693 11 are be VERB fuelectenerg-3306 693 12 10 10 NUM fuelectenerg-3306 693 13 possible possible ADJ fuelectenerg-3306 693 14 h h NOUN fuelectenerg-3306 693 15 subsets subset NOUN fuelectenerg-3306 693 16 : : PUNCT fuelectenerg-3306 694 1 h(0 h(0 NOUN fuelectenerg-3306 694 2 , , PUNCT fuelectenerg-3306 694 3 0 0 NUM fuelectenerg-3306 694 4 ) ) PUNCT fuelectenerg-3306 694 5 , , PUNCT fuelectenerg-3306 694 6 h(0 h(0 PROPN fuelectenerg-3306 694 7 , , PUNCT fuelectenerg-3306 694 8 1 1 NUM fuelectenerg-3306 694 9 ) ) PUNCT fuelectenerg-3306 694 10 , , PUNCT fuelectenerg-3306 694 11 h(0 h(0 PROPN fuelectenerg-3306 694 12 , , PUNCT fuelectenerg-3306 694 13 2 2 NUM fuelectenerg-3306 694 14 ) ) PUNCT fuelectenerg-3306 694 15 , , PUNCT fuelectenerg-3306 694 16 h(0 h(0 PROPN fuelectenerg-3306 694 17 , , PUNCT fuelectenerg-3306 694 18 3 3 NUM fuelectenerg-3306 694 19 ) ) PUNCT fuelectenerg-3306 694 20 , , PUNCT fuelectenerg-3306 694 21 h(1 h(1 PROPN fuelectenerg-3306 694 22 , , PUNCT fuelectenerg-3306 694 23 1 1 NUM fuelectenerg-3306 694 24 ) ) PUNCT fuelectenerg-3306 694 25 , , PUNCT fuelectenerg-3306 694 26 h(1 h(1 PROPN fuelectenerg-3306 694 27 , , PUNCT fuelectenerg-3306 694 28 2 2 NUM fuelectenerg-3306 694 29 ) ) PUNCT fuelectenerg-3306 694 30 , , PUNCT fuelectenerg-3306 694 31 h(1 h(1 PROPN fuelectenerg-3306 694 32 , , PUNCT fuelectenerg-3306 694 33 3 3 NUM fuelectenerg-3306 694 34 ) ) PUNCT fuelectenerg-3306 694 35 , , PUNCT fuelectenerg-3306 694 36 h(2 h(2 NOUN fuelectenerg-3306 694 37 , , PUNCT fuelectenerg-3306 694 38 2 2 NUM fuelectenerg-3306 694 39 ) ) PUNCT fuelectenerg-3306 694 40 , , PUNCT fuelectenerg-3306 694 41 h(2 h(2 NOUN fuelectenerg-3306 694 42 , , PUNCT fuelectenerg-3306 694 43 3 3 NUM fuelectenerg-3306 694 44 ) ) PUNCT fuelectenerg-3306 694 45 , , PUNCT fuelectenerg-3306 694 46 and and CCONJ fuelectenerg-3306 694 47 h(3 h(3 PROPN fuelectenerg-3306 694 48 , , PUNCT fuelectenerg-3306 694 49 3 3 NUM fuelectenerg-3306 694 50 ) ) PUNCT fuelectenerg-3306 694 51 . . PUNCT fuelectenerg-3306 695 1 some some PRON fuelectenerg-3306 695 2 of of ADP fuelectenerg-3306 695 3 subsets subset NOUN fuelectenerg-3306 695 4 also also ADV fuelectenerg-3306 695 5 do do AUX fuelectenerg-3306 695 6 not not PART fuelectenerg-3306 695 7 contain contain VERB fuelectenerg-3306 695 8 any any PRON fuelectenerg-3306 695 9 of of ADP fuelectenerg-3306 695 10 the the DET fuelectenerg-3306 695 11 bent bent ADJ fuelectenerg-3306 695 12 functions function NOUN fuelectenerg-3306 695 13 . . PUNCT fuelectenerg-3306 696 1 example example NOUN fuelectenerg-3306 696 2 7 7 NUM fuelectenerg-3306 696 3 two two NUM fuelectenerg-3306 696 4 bent bent ADJ fuelectenerg-3306 696 5 functions function NOUN fuelectenerg-3306 696 6 of of ADP fuelectenerg-3306 696 7 4 4 NUM fuelectenerg-3306 696 8 variables variable NOUN fuelectenerg-3306 696 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 696 10 , , PUNCT fuelectenerg-3306 696 11 x2 x2 PROPN fuelectenerg-3306 696 12 , , PUNCT fuelectenerg-3306 696 13 x3 x3 ADJ fuelectenerg-3306 696 14 , , PUNCT fuelectenerg-3306 696 15 x4 x4 PROPN fuelectenerg-3306 696 16 ) ) PUNCT fuelectenerg-3306 696 17 = = PUNCT fuelectenerg-3306 697 1 x1x2 x1x2 PROPN fuelectenerg-3306 697 2 ⊕ ⊕ PROPN fuelectenerg-3306 697 3 x2x4 x2x4 PUNCT fuelectenerg-3306 697 4 ⊕ ⊕ PROPN fuelectenerg-3306 697 5 x3x4 x3x4 ADP fuelectenerg-3306 697 6 , , PUNCT fuelectenerg-3306 697 7 and and CCONJ fuelectenerg-3306 697 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 697 9 , , PUNCT fuelectenerg-3306 697 10 x2 x2 PROPN fuelectenerg-3306 697 11 , , PUNCT fuelectenerg-3306 697 12 x3 x3 ADJ fuelectenerg-3306 697 13 , , PUNCT fuelectenerg-3306 697 14 x4 x4 PROPN fuelectenerg-3306 697 15 ) ) PUNCT fuelectenerg-3306 697 16 = = SYM fuelectenerg-3306 698 1 x1x3 x1x3 PROPN fuelectenerg-3306 698 2 ⊕ ⊕ PROPN fuelectenerg-3306 698 3 x2x4 x2x4 X fuelectenerg-3306 698 4 have have VERB fuelectenerg-3306 698 5 only only ADV fuelectenerg-3306 698 6 second second ADJ fuelectenerg-3306 698 7 order order NOUN fuelectenerg-3306 698 8 non non ADJ fuelectenerg-3306 698 9 - - ADJ fuelectenerg-3306 698 10 zero zero NUM fuelectenerg-3306 698 11 rm rm NOUN fuelectenerg-3306 698 12 - - PUNCT fuelectenerg-3306 698 13 coefficients coefficient NOUN fuelectenerg-3306 698 14 and and CCONJ fuelectenerg-3306 698 15 belong belong VERB fuelectenerg-3306 698 16 to to ADP fuelectenerg-3306 698 17 the the DET fuelectenerg-3306 698 18 same same ADJ fuelectenerg-3306 698 19 subset subset NOUN fuelectenerg-3306 698 20 h(2 h(2 NOUN fuelectenerg-3306 698 21 , , PUNCT fuelectenerg-3306 698 22 2 2 NUM fuelectenerg-3306 698 23 ) ) PUNCT fuelectenerg-3306 698 24 . . PUNCT fuelectenerg-3306 699 1 3.3 3.3 NUM fuelectenerg-3306 699 2 grid grid NOUN fuelectenerg-3306 699 3 subset subset NOUN fuelectenerg-3306 699 4 in in ADP fuelectenerg-3306 699 5 definition definition NOUN fuelectenerg-3306 699 6 of of ADP fuelectenerg-3306 699 7 this this DET fuelectenerg-3306 699 8 subset subset NOUN fuelectenerg-3306 699 9 , , PUNCT fuelectenerg-3306 699 10 we we PRON fuelectenerg-3306 699 11 take take VERB fuelectenerg-3306 699 12 into into ADP fuelectenerg-3306 699 13 account account NOUN fuelectenerg-3306 699 14 both both PRON fuelectenerg-3306 699 15 , , PUNCT fuelectenerg-3306 699 16 the the DET fuelectenerg-3306 699 17 orders order NOUN fuelectenerg-3306 699 18 and and CCONJ fuelectenerg-3306 699 19 the the DET fuelectenerg-3306 699 20 number number NOUN fuelectenerg-3306 699 21 of of ADP fuelectenerg-3306 699 22 the the DET fuelectenerg-3306 699 23 coefficients coefficient NOUN fuelectenerg-3306 699 24 . . PUNCT fuelectenerg-3306 700 1 definition definition NOUN fuelectenerg-3306 700 2 7 7 NUM fuelectenerg-3306 700 3 a a DET fuelectenerg-3306 700 4 bent bent ADJ fuelectenerg-3306 700 5 function function NOUN fuelectenerg-3306 700 6 belongs belong VERB fuelectenerg-3306 700 7 to to ADP fuelectenerg-3306 700 8 the the DET fuelectenerg-3306 700 9 grid grid NOUN fuelectenerg-3306 700 10 ( ( PUNCT fuelectenerg-3306 700 11 k k PROPN fuelectenerg-3306 700 12 , , PUNCT fuelectenerg-3306 700 13 kmin kmin NOUN fuelectenerg-3306 700 14 , , PUNCT fuelectenerg-3306 700 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 700 16 g(k g(k PROPN fuelectenerg-3306 700 17 , , PUNCT fuelectenerg-3306 700 18 kmin kmin NOUN fuelectenerg-3306 700 19 , , PUNCT fuelectenerg-3306 700 20 kmax kmax PROPN fuelectenerg-3306 700 21 ) ) PUNCT fuelectenerg-3306 700 22 iff iff NOUN fuelectenerg-3306 700 23 it it PRON fuelectenerg-3306 700 24 has have VERB fuelectenerg-3306 700 25 k k PROPN fuelectenerg-3306 700 26 non non ADJ fuelectenerg-3306 700 27 - - ADJ fuelectenerg-3306 700 28 zero zero NUM fuelectenerg-3306 700 29 rm rm NOUN fuelectenerg-3306 700 30 - - PUNCT fuelectenerg-3306 700 31 coefficients coefficient NOUN fuelectenerg-3306 700 32 and and CCONJ fuelectenerg-3306 700 33 minimum minimum ADJ fuelectenerg-3306 700 34 order order NOUN fuelectenerg-3306 700 35 of of ADP fuelectenerg-3306 700 36 rm rm PROPN fuelectenerg-3306 700 37 coefficients coefficient NOUN fuelectenerg-3306 700 38 kmin kmin NOUN fuelectenerg-3306 700 39 and and CCONJ fuelectenerg-3306 700 40 maximum maximum ADJ fuelectenerg-3306 700 41 order order NOUN fuelectenerg-3306 700 42 kmax kmax NOUN fuelectenerg-3306 700 43 . . PUNCT fuelectenerg-3306 701 1 the the DET fuelectenerg-3306 701 2 g g PROPN fuelectenerg-3306 701 3 subsets subset NOUN fuelectenerg-3306 701 4 of of ADP fuelectenerg-3306 701 5 bent bent ADJ fuelectenerg-3306 701 6 functions function NOUN fuelectenerg-3306 701 7 are be AUX fuelectenerg-3306 701 8 the the DET fuelectenerg-3306 701 9 intersection intersection NOUN fuelectenerg-3306 701 10 of of ADP fuelectenerg-3306 701 11 v v NOUN fuelectenerg-3306 701 12 and and CCONJ fuelectenerg-3306 701 13 h h NOUN fuelectenerg-3306 701 14 subsets subset NOUN fuelectenerg-3306 701 15 . . PUNCT fuelectenerg-3306 702 1 number number NOUN fuelectenerg-3306 702 2 of of ADP fuelectenerg-3306 702 3 g g PROPN fuelectenerg-3306 702 4 subsets subset NOUN fuelectenerg-3306 702 5 also also ADV fuelectenerg-3306 702 6 depends depend VERB fuelectenerg-3306 702 7 of of ADP fuelectenerg-3306 702 8 the the DET fuelectenerg-3306 702 9 number number NOUN fuelectenerg-3306 702 10 of of ADP fuelectenerg-3306 702 11 variables variable NOUN fuelectenerg-3306 702 12 of of ADP fuelectenerg-3306 702 13 the the DET fuelectenerg-3306 702 14 bent bent ADJ fuelectenerg-3306 702 15 functions function NOUN fuelectenerg-3306 702 16 . . PUNCT fuelectenerg-3306 703 1 for for ADP fuelectenerg-3306 703 2 example example NOUN fuelectenerg-3306 703 3 , , PUNCT fuelectenerg-3306 703 4 there there PRON fuelectenerg-3306 703 5 are be VERB fuelectenerg-3306 703 6 many many ADJ fuelectenerg-3306 703 7 g g NOUN fuelectenerg-3306 703 8 subsets subset NOUN fuelectenerg-3306 703 9 for for ADP fuelectenerg-3306 703 10 bent bent ADJ fuelectenerg-3306 703 11 functions function NOUN fuelectenerg-3306 703 12 with with ADP fuelectenerg-3306 703 13 4 4 NUM fuelectenerg-3306 703 14 variables variable NOUN fuelectenerg-3306 703 15 : : PUNCT fuelectenerg-3306 703 16 v v X fuelectenerg-3306 703 17 ( ( PUNCT fuelectenerg-3306 703 18 1 1 NUM fuelectenerg-3306 703 19 , , PUNCT fuelectenerg-3306 703 20 0 0 NUM fuelectenerg-3306 703 21 , , PUNCT fuelectenerg-3306 703 22 0 0 NUM fuelectenerg-3306 703 23 ) ) PUNCT fuelectenerg-3306 703 24 , , PUNCT fuelectenerg-3306 703 25 h(1 h(1 PROPN fuelectenerg-3306 703 26 , , PUNCT fuelectenerg-3306 703 27 0 0 NUM fuelectenerg-3306 703 28 , , PUNCT fuelectenerg-3306 703 29 1 1 NUM fuelectenerg-3306 703 30 ) ) PUNCT fuelectenerg-3306 703 31 , , PUNCT fuelectenerg-3306 703 32 ... ... PUNCT fuelectenerg-3306 703 33 , , PUNCT fuelectenerg-3306 703 34 h(6 h(6 PROPN fuelectenerg-3306 703 35 , , PUNCT fuelectenerg-3306 703 36 2 2 NUM fuelectenerg-3306 703 37 , , PUNCT fuelectenerg-3306 703 38 2 2 NUM fuelectenerg-3306 703 39 ) ) PUNCT fuelectenerg-3306 703 40 . . PUNCT fuelectenerg-3306 704 1 there there PRON fuelectenerg-3306 704 2 are be VERB fuelectenerg-3306 704 3 also also ADV fuelectenerg-3306 704 4 many many ADJ fuelectenerg-3306 704 5 subsets subset NOUN fuelectenerg-3306 704 6 that that PRON fuelectenerg-3306 704 7 do do AUX fuelectenerg-3306 704 8 not not PART fuelectenerg-3306 704 9 contain contain VERB fuelectenerg-3306 704 10 any any PRON fuelectenerg-3306 704 11 of of ADP fuelectenerg-3306 704 12 the the DET fuelectenerg-3306 704 13 bent bent ADJ fuelectenerg-3306 704 14 functions function NOUN fuelectenerg-3306 704 15 . . PUNCT fuelectenerg-3306 705 1 example example NOUN fuelectenerg-3306 705 2 8 8 NUM fuelectenerg-3306 705 3 two two NUM fuelectenerg-3306 705 4 bent bent ADJ fuelectenerg-3306 705 5 functions function NOUN fuelectenerg-3306 705 6 of of ADP fuelectenerg-3306 705 7 4 4 NUM fuelectenerg-3306 705 8 variables variable NOUN fuelectenerg-3306 705 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 705 10 , , PUNCT fuelectenerg-3306 705 11 x2 x2 PROPN fuelectenerg-3306 705 12 , , PUNCT fuelectenerg-3306 705 13 x3 x3 ADJ fuelectenerg-3306 705 14 , , PUNCT fuelectenerg-3306 705 15 x4 x4 PROPN fuelectenerg-3306 705 16 ) ) PUNCT fuelectenerg-3306 705 17 = = SYM fuelectenerg-3306 706 1 x1x2 x1x2 PROPN fuelectenerg-3306 706 2 ⊕ ⊕ PROPN fuelectenerg-3306 706 3 x3x4 x3x4 ADP fuelectenerg-3306 706 4 , , PUNCT fuelectenerg-3306 706 5 and and CCONJ fuelectenerg-3306 706 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 706 7 , , PUNCT fuelectenerg-3306 706 8 x2 x2 PROPN fuelectenerg-3306 706 9 , , PUNCT fuelectenerg-3306 706 10 x3 x3 ADJ fuelectenerg-3306 706 11 , , PUNCT fuelectenerg-3306 706 12 x4 x4 PROPN fuelectenerg-3306 706 13 ) ) PUNCT fuelectenerg-3306 706 14 = = SYM fuelectenerg-3306 707 1 x1x3 x1x3 PROPN fuelectenerg-3306 707 2 ⊕ ⊕ PROPN fuelectenerg-3306 707 3 x2x4 x2x4 X fuelectenerg-3306 707 4 have have VERB fuelectenerg-3306 707 5 only only ADV fuelectenerg-3306 707 6 2 2 NUM fuelectenerg-3306 707 7 and and CCONJ fuelectenerg-3306 707 8 second second ADJ fuelectenerg-3306 707 9 order order NOUN fuelectenerg-3306 707 10 non non ADJ fuelectenerg-3306 707 11 - - ADJ fuelectenerg-3306 707 12 zero zero NUM fuelectenerg-3306 707 13 rm rm NOUN fuelectenerg-3306 707 14 - - PUNCT fuelectenerg-3306 707 15 coefficients coefficient NOUN fuelectenerg-3306 707 16 and and CCONJ fuelectenerg-3306 707 17 belong belong VERB fuelectenerg-3306 707 18 to to ADP fuelectenerg-3306 707 19 the the DET fuelectenerg-3306 707 20 same same ADJ fuelectenerg-3306 707 21 subset subset NOUN fuelectenerg-3306 707 22 g(2 g(2 PROPN fuelectenerg-3306 707 23 , , PUNCT fuelectenerg-3306 707 24 2 2 NUM fuelectenerg-3306 707 25 , , PUNCT fuelectenerg-3306 707 26 2 2 NUM fuelectenerg-3306 707 27 ) ) PUNCT fuelectenerg-3306 707 28 . . PUNCT fuelectenerg-3306 708 1 it it PRON fuelectenerg-3306 708 2 should should AUX fuelectenerg-3306 708 3 be be AUX fuelectenerg-3306 708 4 noticed notice VERB fuelectenerg-3306 708 5 that that SCONJ fuelectenerg-3306 708 6 there there PRON fuelectenerg-3306 708 7 are be VERB fuelectenerg-3306 708 8 bent bent ADJ fuelectenerg-3306 708 9 functions function NOUN fuelectenerg-3306 708 10 that that PRON fuelectenerg-3306 708 11 do do AUX fuelectenerg-3306 708 12 not not PART fuelectenerg-3306 708 13 belongs belong VERB fuelectenerg-3306 708 14 to to ADP fuelectenerg-3306 708 15 any any PRON fuelectenerg-3306 708 16 of of ADP fuelectenerg-3306 708 17 g g PROPN fuelectenerg-3306 708 18 subsets subset NOUN fuelectenerg-3306 708 19 . . PUNCT fuelectenerg-3306 709 1 4 4 NUM fuelectenerg-3306 709 2 experimental experimental ADJ fuelectenerg-3306 709 3 results result NOUN fuelectenerg-3306 709 4 in in ADP fuelectenerg-3306 709 5 this this DET fuelectenerg-3306 709 6 section section NOUN fuelectenerg-3306 709 7 , , PUNCT fuelectenerg-3306 709 8 we we PRON fuelectenerg-3306 709 9 made make VERB fuelectenerg-3306 709 10 enumeration enumeration NOUN fuelectenerg-3306 709 11 of of ADP fuelectenerg-3306 709 12 bent bent ADJ fuelectenerg-3306 709 13 functions function NOUN fuelectenerg-3306 709 14 in in ADP fuelectenerg-3306 709 15 some some DET fuelectenerg-3306 709 16 vertical vertical ADJ fuelectenerg-3306 709 17 , , PUNCT fuelectenerg-3306 709 18 horizontal horizontal ADJ fuelectenerg-3306 709 19 and and CCONJ fuelectenerg-3306 709 20 grid grid NOUN fuelectenerg-3306 709 21 subsets subset NOUN fuelectenerg-3306 709 22 for for ADP fuelectenerg-3306 709 23 functions function NOUN fuelectenerg-3306 709 24 with with ADP fuelectenerg-3306 709 25 4 4 NUM fuelectenerg-3306 709 26 , , PUNCT fuelectenerg-3306 709 27 6 6 NUM fuelectenerg-3306 709 28 , , PUNCT fuelectenerg-3306 709 29 and and CCONJ fuelectenerg-3306 709 30 8 8 NUM fuelectenerg-3306 709 31 variables variable NOUN fuelectenerg-3306 709 32 . . PUNCT fuelectenerg-3306 710 1 there there PRON fuelectenerg-3306 710 2 are be VERB fuelectenerg-3306 710 3 two two NUM fuelectenerg-3306 710 4 types type NOUN fuelectenerg-3306 710 5 of of ADP fuelectenerg-3306 710 6 methods method NOUN fuelectenerg-3306 710 7 for for ADP fuelectenerg-3306 710 8 enumerations enumeration NOUN fuelectenerg-3306 710 9 of of ADP fuelectenerg-3306 710 10 bent bent ADJ fuelectenerg-3306 710 11 functions function NOUN fuelectenerg-3306 710 12 , , PUNCT fuelectenerg-3306 710 13 primary primary ADJ fuelectenerg-3306 710 14 and and CCONJ fuelectenerg-3306 710 15 secondary secondary ADJ fuelectenerg-3306 710 16 . . PUNCT fuelectenerg-3306 711 1 the the DET fuelectenerg-3306 711 2 primary primary ADJ fuelectenerg-3306 711 3 methods method NOUN fuelectenerg-3306 711 4 are be AUX fuelectenerg-3306 711 5 based base VERB fuelectenerg-3306 711 6 on on ADP fuelectenerg-3306 711 7 the the DET fuelectenerg-3306 711 8 direct direct ADJ fuelectenerg-3306 711 9 enumeration enumeration NOUN fuelectenerg-3306 711 10 in in ADP fuelectenerg-3306 711 11 the the DET fuelectenerg-3306 711 12 boolean boolean ADJ fuelectenerg-3306 711 13 domain domain NOUN fuelectenerg-3306 711 14 . . PUNCT fuelectenerg-3306 712 1 the the DET fuelectenerg-3306 712 2 secondary secondary ADJ fuelectenerg-3306 712 3 methods method NOUN fuelectenerg-3306 712 4 are be AUX fuelectenerg-3306 712 5 based base VERB fuelectenerg-3306 712 6 on on ADP fuelectenerg-3306 712 7 construction construction NOUN fuelectenerg-3306 712 8 of of ADP fuelectenerg-3306 712 9 subsets subset NOUN fuelectenerg-3306 712 10 of of ADP fuelectenerg-3306 712 11 bent bent ADJ fuelectenerg-3306 712 12 functions function NOUN fuelectenerg-3306 712 13 satisfying satisfy VERB fuelectenerg-3306 712 14 restrictions restriction NOUN fuelectenerg-3306 712 15 ... ... PUNCT fuelectenerg-3306 712 16 9 9 NUM fuelectenerg-3306 712 17 h(1 h(1 NOUN fuelectenerg-3306 712 18 , , PUNCT fuelectenerg-3306 712 19 2 2 NUM fuelectenerg-3306 712 20 ) ) PUNCT fuelectenerg-3306 712 21 , , PUNCT fuelectenerg-3306 712 22 and and CCONJ fuelectenerg-3306 712 23 h(2 h(2 NOUN fuelectenerg-3306 712 24 , , PUNCT fuelectenerg-3306 712 25 2 2 NUM fuelectenerg-3306 712 26 ) ) PUNCT fuelectenerg-3306 712 27 . . PUNCT fuelectenerg-3306 713 1 there there PRON fuelectenerg-3306 713 2 are be VERB fuelectenerg-3306 713 3 h h PROPN fuelectenerg-3306 713 4 subsets subset NOUN fuelectenerg-3306 713 5 h(0 h(0 PROPN fuelectenerg-3306 713 6 , , PUNCT fuelectenerg-3306 713 7 0 0 NUM fuelectenerg-3306 713 8 ) ) PUNCT fuelectenerg-3306 713 9 , , PUNCT fuelectenerg-3306 713 10 h(0 h(0 PROPN fuelectenerg-3306 713 11 , , PUNCT fuelectenerg-3306 713 12 1 1 NUM fuelectenerg-3306 713 13 ) ) PUNCT fuelectenerg-3306 713 14 , , PUNCT fuelectenerg-3306 713 15 and and CCONJ fuelectenerg-3306 713 16 h(1 h(1 PROPN fuelectenerg-3306 713 17 , , PUNCT fuelectenerg-3306 713 18 1 1 NUM fuelectenerg-3306 713 19 ) ) PUNCT fuelectenerg-3306 713 20 , , PUNCT fuelectenerg-3306 713 21 that that PRON fuelectenerg-3306 713 22 do do AUX fuelectenerg-3306 713 23 not not PART fuelectenerg-3306 713 24 contain contain VERB fuelectenerg-3306 713 25 any any PRON fuelectenerg-3306 713 26 of of ADP fuelectenerg-3306 713 27 the the DET fuelectenerg-3306 713 28 bent bent ADJ fuelectenerg-3306 713 29 functions function NOUN fuelectenerg-3306 713 30 . . PUNCT fuelectenerg-3306 714 1 example example NOUN fuelectenerg-3306 714 2 6 6 NUM fuelectenerg-3306 714 3 for for ADP fuelectenerg-3306 714 4 bent bent ADJ fuelectenerg-3306 714 5 functions function NOUN fuelectenerg-3306 714 6 with with ADP fuelectenerg-3306 714 7 6 6 NUM fuelectenerg-3306 714 8 variables variable NOUN fuelectenerg-3306 714 9 , , PUNCT fuelectenerg-3306 714 10 there there PRON fuelectenerg-3306 714 11 are be VERB fuelectenerg-3306 714 12 10 10 NUM fuelectenerg-3306 714 13 possible possible ADJ fuelectenerg-3306 714 14 h h NOUN fuelectenerg-3306 714 15 subsets subset NOUN fuelectenerg-3306 714 16 : : PUNCT fuelectenerg-3306 715 1 h(0 h(0 NOUN fuelectenerg-3306 715 2 , , PUNCT fuelectenerg-3306 715 3 0 0 NUM fuelectenerg-3306 715 4 ) ) PUNCT fuelectenerg-3306 715 5 , , PUNCT fuelectenerg-3306 715 6 h(0 h(0 PROPN fuelectenerg-3306 715 7 , , PUNCT fuelectenerg-3306 715 8 1 1 NUM fuelectenerg-3306 715 9 ) ) PUNCT fuelectenerg-3306 715 10 , , PUNCT fuelectenerg-3306 715 11 h(0 h(0 PROPN fuelectenerg-3306 715 12 , , PUNCT fuelectenerg-3306 715 13 2 2 NUM fuelectenerg-3306 715 14 ) ) PUNCT fuelectenerg-3306 715 15 , , PUNCT fuelectenerg-3306 715 16 h(0 h(0 PROPN fuelectenerg-3306 715 17 , , PUNCT fuelectenerg-3306 715 18 3 3 NUM fuelectenerg-3306 715 19 ) ) PUNCT fuelectenerg-3306 715 20 , , PUNCT fuelectenerg-3306 715 21 h(1 h(1 PROPN fuelectenerg-3306 715 22 , , PUNCT fuelectenerg-3306 715 23 1 1 NUM fuelectenerg-3306 715 24 ) ) PUNCT fuelectenerg-3306 715 25 , , PUNCT fuelectenerg-3306 715 26 h(1 h(1 PROPN fuelectenerg-3306 715 27 , , PUNCT fuelectenerg-3306 715 28 2 2 NUM fuelectenerg-3306 715 29 ) ) PUNCT fuelectenerg-3306 715 30 , , PUNCT fuelectenerg-3306 715 31 h(1 h(1 PROPN fuelectenerg-3306 715 32 , , PUNCT fuelectenerg-3306 715 33 3 3 NUM fuelectenerg-3306 715 34 ) ) PUNCT fuelectenerg-3306 715 35 , , PUNCT fuelectenerg-3306 715 36 h(2 h(2 NOUN fuelectenerg-3306 715 37 , , PUNCT fuelectenerg-3306 715 38 2 2 NUM fuelectenerg-3306 715 39 ) ) PUNCT fuelectenerg-3306 715 40 , , PUNCT fuelectenerg-3306 715 41 h(2 h(2 NOUN fuelectenerg-3306 715 42 , , PUNCT fuelectenerg-3306 715 43 3 3 NUM fuelectenerg-3306 715 44 ) ) PUNCT fuelectenerg-3306 715 45 , , PUNCT fuelectenerg-3306 715 46 and and CCONJ fuelectenerg-3306 715 47 h(3 h(3 PROPN fuelectenerg-3306 715 48 , , PUNCT fuelectenerg-3306 715 49 3 3 NUM fuelectenerg-3306 715 50 ) ) PUNCT fuelectenerg-3306 715 51 . . PUNCT fuelectenerg-3306 716 1 some some PRON fuelectenerg-3306 716 2 of of ADP fuelectenerg-3306 716 3 subsets subset NOUN fuelectenerg-3306 716 4 also also ADV fuelectenerg-3306 716 5 do do AUX fuelectenerg-3306 716 6 not not PART fuelectenerg-3306 716 7 contain contain VERB fuelectenerg-3306 716 8 any any PRON fuelectenerg-3306 716 9 of of ADP fuelectenerg-3306 716 10 the the DET fuelectenerg-3306 716 11 bent bent ADJ fuelectenerg-3306 716 12 functions function NOUN fuelectenerg-3306 716 13 . . PUNCT fuelectenerg-3306 717 1 example example NOUN fuelectenerg-3306 717 2 7 7 NUM fuelectenerg-3306 717 3 two two NUM fuelectenerg-3306 717 4 bent bent ADJ fuelectenerg-3306 717 5 functions function NOUN fuelectenerg-3306 717 6 of of ADP fuelectenerg-3306 717 7 4 4 NUM fuelectenerg-3306 717 8 variables variable NOUN fuelectenerg-3306 717 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 717 10 , , PUNCT fuelectenerg-3306 717 11 x2 x2 PROPN fuelectenerg-3306 717 12 , , PUNCT fuelectenerg-3306 717 13 x3 x3 ADJ fuelectenerg-3306 717 14 , , PUNCT fuelectenerg-3306 717 15 x4 x4 PROPN fuelectenerg-3306 717 16 ) ) PUNCT fuelectenerg-3306 717 17 = = PUNCT fuelectenerg-3306 718 1 x1x2 x1x2 PROPN fuelectenerg-3306 718 2 ⊕ ⊕ PROPN fuelectenerg-3306 718 3 x2x4 x2x4 PUNCT fuelectenerg-3306 718 4 ⊕ ⊕ PROPN fuelectenerg-3306 718 5 x3x4 x3x4 ADP fuelectenerg-3306 718 6 , , PUNCT fuelectenerg-3306 718 7 and and CCONJ fuelectenerg-3306 718 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 718 9 , , PUNCT fuelectenerg-3306 718 10 x2 x2 PROPN fuelectenerg-3306 718 11 , , PUNCT fuelectenerg-3306 718 12 x3 x3 ADJ fuelectenerg-3306 718 13 , , PUNCT fuelectenerg-3306 718 14 x4 x4 PROPN fuelectenerg-3306 718 15 ) ) PUNCT fuelectenerg-3306 718 16 = = SYM fuelectenerg-3306 719 1 x1x3 x1x3 PROPN fuelectenerg-3306 719 2 ⊕ ⊕ PROPN fuelectenerg-3306 719 3 x2x4 x2x4 X fuelectenerg-3306 719 4 have have VERB fuelectenerg-3306 719 5 only only ADV fuelectenerg-3306 719 6 second second ADJ fuelectenerg-3306 719 7 order order NOUN fuelectenerg-3306 719 8 non non ADJ fuelectenerg-3306 719 9 - - ADJ fuelectenerg-3306 719 10 zero zero NUM fuelectenerg-3306 719 11 rm rm NOUN fuelectenerg-3306 719 12 - - PUNCT fuelectenerg-3306 719 13 coefficients coefficient NOUN fuelectenerg-3306 719 14 and and CCONJ fuelectenerg-3306 719 15 belong belong VERB fuelectenerg-3306 719 16 to to ADP fuelectenerg-3306 719 17 the the DET fuelectenerg-3306 719 18 same same ADJ fuelectenerg-3306 719 19 subset subset NOUN fuelectenerg-3306 719 20 h(2 h(2 NOUN fuelectenerg-3306 719 21 , , PUNCT fuelectenerg-3306 719 22 2 2 NUM fuelectenerg-3306 719 23 ) ) PUNCT fuelectenerg-3306 719 24 . . PUNCT fuelectenerg-3306 720 1 3.3 3.3 NUM fuelectenerg-3306 720 2 grid grid NOUN fuelectenerg-3306 720 3 subset subset NOUN fuelectenerg-3306 720 4 in in ADP fuelectenerg-3306 720 5 definition definition NOUN fuelectenerg-3306 720 6 of of ADP fuelectenerg-3306 720 7 this this DET fuelectenerg-3306 720 8 subset subset NOUN fuelectenerg-3306 720 9 , , PUNCT fuelectenerg-3306 720 10 we we PRON fuelectenerg-3306 720 11 take take VERB fuelectenerg-3306 720 12 into into ADP fuelectenerg-3306 720 13 account account NOUN fuelectenerg-3306 720 14 both both PRON fuelectenerg-3306 720 15 , , PUNCT fuelectenerg-3306 720 16 the the DET fuelectenerg-3306 720 17 orders order NOUN fuelectenerg-3306 720 18 and and CCONJ fuelectenerg-3306 720 19 the the DET fuelectenerg-3306 720 20 number number NOUN fuelectenerg-3306 720 21 of of ADP fuelectenerg-3306 720 22 the the DET fuelectenerg-3306 720 23 coefficients coefficient NOUN fuelectenerg-3306 720 24 . . PUNCT fuelectenerg-3306 721 1 definition definition NOUN fuelectenerg-3306 721 2 7 7 NUM fuelectenerg-3306 721 3 a a DET fuelectenerg-3306 721 4 bent bent ADJ fuelectenerg-3306 721 5 function function NOUN fuelectenerg-3306 721 6 belongs belong VERB fuelectenerg-3306 721 7 to to ADP fuelectenerg-3306 721 8 the the DET fuelectenerg-3306 721 9 grid grid NOUN fuelectenerg-3306 721 10 ( ( PUNCT fuelectenerg-3306 721 11 k k PROPN fuelectenerg-3306 721 12 , , PUNCT fuelectenerg-3306 721 13 kmin kmin NOUN fuelectenerg-3306 721 14 , , PUNCT fuelectenerg-3306 721 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 721 16 g(k g(k PROPN fuelectenerg-3306 721 17 , , PUNCT fuelectenerg-3306 721 18 kmin kmin NOUN fuelectenerg-3306 721 19 , , PUNCT fuelectenerg-3306 721 20 kmax kmax PROPN fuelectenerg-3306 721 21 ) ) PUNCT fuelectenerg-3306 721 22 iff iff NOUN fuelectenerg-3306 721 23 it it PRON fuelectenerg-3306 721 24 has have VERB fuelectenerg-3306 721 25 k k PROPN fuelectenerg-3306 721 26 non non ADJ fuelectenerg-3306 721 27 - - ADJ fuelectenerg-3306 721 28 zero zero NUM fuelectenerg-3306 721 29 rm rm NOUN fuelectenerg-3306 721 30 - - PUNCT fuelectenerg-3306 721 31 coefficients coefficient NOUN fuelectenerg-3306 721 32 and and CCONJ fuelectenerg-3306 721 33 minimum minimum ADJ fuelectenerg-3306 721 34 order order NOUN fuelectenerg-3306 721 35 of of ADP fuelectenerg-3306 721 36 rm rm PROPN fuelectenerg-3306 721 37 coefficients coefficient NOUN fuelectenerg-3306 721 38 kmin kmin NOUN fuelectenerg-3306 721 39 and and CCONJ fuelectenerg-3306 721 40 maximum maximum ADJ fuelectenerg-3306 721 41 order order NOUN fuelectenerg-3306 721 42 kmax kmax NOUN fuelectenerg-3306 721 43 . . PUNCT fuelectenerg-3306 722 1 the the DET fuelectenerg-3306 722 2 g g PROPN fuelectenerg-3306 722 3 subsets subset NOUN fuelectenerg-3306 722 4 of of ADP fuelectenerg-3306 722 5 bent bent ADJ fuelectenerg-3306 722 6 functions function NOUN fuelectenerg-3306 722 7 are be AUX fuelectenerg-3306 722 8 the the DET fuelectenerg-3306 722 9 intersection intersection NOUN fuelectenerg-3306 722 10 of of ADP fuelectenerg-3306 722 11 v v NOUN fuelectenerg-3306 722 12 and and CCONJ fuelectenerg-3306 722 13 h h NOUN fuelectenerg-3306 722 14 subsets subset NOUN fuelectenerg-3306 722 15 . . PUNCT fuelectenerg-3306 723 1 number number NOUN fuelectenerg-3306 723 2 of of ADP fuelectenerg-3306 723 3 g g PROPN fuelectenerg-3306 723 4 subsets subset NOUN fuelectenerg-3306 723 5 also also ADV fuelectenerg-3306 723 6 depends depend VERB fuelectenerg-3306 723 7 of of ADP fuelectenerg-3306 723 8 the the DET fuelectenerg-3306 723 9 number number NOUN fuelectenerg-3306 723 10 of of ADP fuelectenerg-3306 723 11 variables variable NOUN fuelectenerg-3306 723 12 of of ADP fuelectenerg-3306 723 13 the the DET fuelectenerg-3306 723 14 bent bent ADJ fuelectenerg-3306 723 15 functions function NOUN fuelectenerg-3306 723 16 . . PUNCT fuelectenerg-3306 724 1 for for ADP fuelectenerg-3306 724 2 example example NOUN fuelectenerg-3306 724 3 , , PUNCT fuelectenerg-3306 724 4 there there PRON fuelectenerg-3306 724 5 are be VERB fuelectenerg-3306 724 6 many many ADJ fuelectenerg-3306 724 7 g g NOUN fuelectenerg-3306 724 8 subsets subset NOUN fuelectenerg-3306 724 9 for for ADP fuelectenerg-3306 724 10 bent bent ADJ fuelectenerg-3306 724 11 functions function NOUN fuelectenerg-3306 724 12 with with ADP fuelectenerg-3306 724 13 4 4 NUM fuelectenerg-3306 724 14 variables variable NOUN fuelectenerg-3306 724 15 : : PUNCT fuelectenerg-3306 724 16 v v X fuelectenerg-3306 724 17 ( ( PUNCT fuelectenerg-3306 724 18 1 1 NUM fuelectenerg-3306 724 19 , , PUNCT fuelectenerg-3306 724 20 0 0 NUM fuelectenerg-3306 724 21 , , PUNCT fuelectenerg-3306 724 22 0 0 NUM fuelectenerg-3306 724 23 ) ) PUNCT fuelectenerg-3306 724 24 , , PUNCT fuelectenerg-3306 724 25 h(1 h(1 PROPN fuelectenerg-3306 724 26 , , PUNCT fuelectenerg-3306 724 27 0 0 NUM fuelectenerg-3306 724 28 , , PUNCT fuelectenerg-3306 724 29 1 1 NUM fuelectenerg-3306 724 30 ) ) PUNCT fuelectenerg-3306 724 31 , , PUNCT fuelectenerg-3306 724 32 ... ... PUNCT fuelectenerg-3306 724 33 , , PUNCT fuelectenerg-3306 724 34 h(6 h(6 PROPN fuelectenerg-3306 724 35 , , PUNCT fuelectenerg-3306 724 36 2 2 NUM fuelectenerg-3306 724 37 , , PUNCT fuelectenerg-3306 724 38 2 2 NUM fuelectenerg-3306 724 39 ) ) PUNCT fuelectenerg-3306 724 40 . . PUNCT fuelectenerg-3306 725 1 there there PRON fuelectenerg-3306 725 2 are be VERB fuelectenerg-3306 725 3 also also ADV fuelectenerg-3306 725 4 many many ADJ fuelectenerg-3306 725 5 subsets subset NOUN fuelectenerg-3306 725 6 that that PRON fuelectenerg-3306 725 7 do do AUX fuelectenerg-3306 725 8 not not PART fuelectenerg-3306 725 9 contain contain VERB fuelectenerg-3306 725 10 any any PRON fuelectenerg-3306 725 11 of of ADP fuelectenerg-3306 725 12 the the DET fuelectenerg-3306 725 13 bent bent ADJ fuelectenerg-3306 725 14 functions function NOUN fuelectenerg-3306 725 15 . . PUNCT fuelectenerg-3306 726 1 example example NOUN fuelectenerg-3306 726 2 8 8 NUM fuelectenerg-3306 726 3 two two NUM fuelectenerg-3306 726 4 bent bent ADJ fuelectenerg-3306 726 5 functions function NOUN fuelectenerg-3306 726 6 of of ADP fuelectenerg-3306 726 7 4 4 NUM fuelectenerg-3306 726 8 variables variable NOUN fuelectenerg-3306 726 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 726 10 , , PUNCT fuelectenerg-3306 726 11 x2 x2 PROPN fuelectenerg-3306 726 12 , , PUNCT fuelectenerg-3306 726 13 x3 x3 ADJ fuelectenerg-3306 726 14 , , PUNCT fuelectenerg-3306 726 15 x4 x4 PROPN fuelectenerg-3306 726 16 ) ) PUNCT fuelectenerg-3306 726 17 = = SYM fuelectenerg-3306 727 1 x1x2 x1x2 PROPN fuelectenerg-3306 727 2 ⊕ ⊕ PROPN fuelectenerg-3306 727 3 x3x4 x3x4 ADP fuelectenerg-3306 727 4 , , PUNCT fuelectenerg-3306 727 5 and and CCONJ fuelectenerg-3306 727 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 727 7 , , PUNCT fuelectenerg-3306 727 8 x2 x2 PROPN fuelectenerg-3306 727 9 , , PUNCT fuelectenerg-3306 727 10 x3 x3 ADJ fuelectenerg-3306 727 11 , , PUNCT fuelectenerg-3306 727 12 x4 x4 PROPN fuelectenerg-3306 727 13 ) ) PUNCT fuelectenerg-3306 727 14 = = SYM fuelectenerg-3306 728 1 x1x3 x1x3 PROPN fuelectenerg-3306 728 2 ⊕ ⊕ PROPN fuelectenerg-3306 728 3 x2x4 x2x4 X fuelectenerg-3306 728 4 have have VERB fuelectenerg-3306 728 5 only only ADV fuelectenerg-3306 728 6 2 2 NUM fuelectenerg-3306 728 7 and and CCONJ fuelectenerg-3306 728 8 second second ADJ fuelectenerg-3306 728 9 order order NOUN fuelectenerg-3306 728 10 non non ADJ fuelectenerg-3306 728 11 - - ADJ fuelectenerg-3306 728 12 zero zero NUM fuelectenerg-3306 728 13 rm rm NOUN fuelectenerg-3306 728 14 - - PUNCT fuelectenerg-3306 728 15 coefficients coefficient NOUN fuelectenerg-3306 728 16 and and CCONJ fuelectenerg-3306 728 17 belong belong VERB fuelectenerg-3306 728 18 to to ADP fuelectenerg-3306 728 19 the the DET fuelectenerg-3306 728 20 same same ADJ fuelectenerg-3306 728 21 subset subset NOUN fuelectenerg-3306 728 22 g(2 g(2 PROPN fuelectenerg-3306 728 23 , , PUNCT fuelectenerg-3306 728 24 2 2 NUM fuelectenerg-3306 728 25 , , PUNCT fuelectenerg-3306 728 26 2 2 NUM fuelectenerg-3306 728 27 ) ) PUNCT fuelectenerg-3306 728 28 . . PUNCT fuelectenerg-3306 729 1 it it PRON fuelectenerg-3306 729 2 should should AUX fuelectenerg-3306 729 3 be be AUX fuelectenerg-3306 729 4 noticed notice VERB fuelectenerg-3306 729 5 that that SCONJ fuelectenerg-3306 729 6 there there PRON fuelectenerg-3306 729 7 are be VERB fuelectenerg-3306 729 8 bent bent ADJ fuelectenerg-3306 729 9 functions function NOUN fuelectenerg-3306 729 10 that that PRON fuelectenerg-3306 729 11 do do AUX fuelectenerg-3306 729 12 not not PART fuelectenerg-3306 729 13 belongs belong VERB fuelectenerg-3306 729 14 to to ADP fuelectenerg-3306 729 15 any any PRON fuelectenerg-3306 729 16 of of ADP fuelectenerg-3306 729 17 g g PROPN fuelectenerg-3306 729 18 subsets subset NOUN fuelectenerg-3306 729 19 . . PUNCT fuelectenerg-3306 730 1 4 4 NUM fuelectenerg-3306 730 2 experimental experimental ADJ fuelectenerg-3306 730 3 results result NOUN fuelectenerg-3306 730 4 in in ADP fuelectenerg-3306 730 5 this this DET fuelectenerg-3306 730 6 section section NOUN fuelectenerg-3306 730 7 , , PUNCT fuelectenerg-3306 730 8 we we PRON fuelectenerg-3306 730 9 made make VERB fuelectenerg-3306 730 10 enumeration enumeration NOUN fuelectenerg-3306 730 11 of of ADP fuelectenerg-3306 730 12 bent bent ADJ fuelectenerg-3306 730 13 functions function NOUN fuelectenerg-3306 730 14 in in ADP fuelectenerg-3306 730 15 some some DET fuelectenerg-3306 730 16 vertical vertical ADJ fuelectenerg-3306 730 17 , , PUNCT fuelectenerg-3306 730 18 horizontal horizontal ADJ fuelectenerg-3306 730 19 and and CCONJ fuelectenerg-3306 730 20 grid grid NOUN fuelectenerg-3306 730 21 subsets subset NOUN fuelectenerg-3306 730 22 for for ADP fuelectenerg-3306 730 23 functions function NOUN fuelectenerg-3306 730 24 with with ADP fuelectenerg-3306 730 25 4 4 NUM fuelectenerg-3306 730 26 , , PUNCT fuelectenerg-3306 730 27 6 6 NUM fuelectenerg-3306 730 28 , , PUNCT fuelectenerg-3306 730 29 and and CCONJ fuelectenerg-3306 730 30 8 8 NUM fuelectenerg-3306 730 31 variables variable NOUN fuelectenerg-3306 730 32 . . PUNCT fuelectenerg-3306 731 1 there there PRON fuelectenerg-3306 731 2 are be VERB fuelectenerg-3306 731 3 two two NUM fuelectenerg-3306 731 4 types type NOUN fuelectenerg-3306 731 5 of of ADP fuelectenerg-3306 731 6 methods method NOUN fuelectenerg-3306 731 7 for for ADP fuelectenerg-3306 731 8 enumerations enumeration NOUN fuelectenerg-3306 731 9 of of ADP fuelectenerg-3306 731 10 bent bent ADJ fuelectenerg-3306 731 11 functions function NOUN fuelectenerg-3306 731 12 , , PUNCT fuelectenerg-3306 731 13 primary primary ADJ fuelectenerg-3306 731 14 and and CCONJ fuelectenerg-3306 731 15 secondary secondary ADJ fuelectenerg-3306 731 16 . . PUNCT fuelectenerg-3306 732 1 the the DET fuelectenerg-3306 732 2 primary primary ADJ fuelectenerg-3306 732 3 methods method NOUN fuelectenerg-3306 732 4 are be AUX fuelectenerg-3306 732 5 based base VERB fuelectenerg-3306 732 6 on on ADP fuelectenerg-3306 732 7 the the DET fuelectenerg-3306 732 8 direct direct ADJ fuelectenerg-3306 732 9 enumeration enumeration NOUN fuelectenerg-3306 732 10 in in ADP fuelectenerg-3306 732 11 the the DET fuelectenerg-3306 732 12 boolean boolean ADJ fuelectenerg-3306 732 13 domain domain NOUN fuelectenerg-3306 732 14 . . PUNCT fuelectenerg-3306 733 1 the the DET fuelectenerg-3306 733 2 secondary secondary ADJ fuelectenerg-3306 733 3 methods method NOUN fuelectenerg-3306 733 4 are be AUX fuelectenerg-3306 733 5 based base VERB fuelectenerg-3306 733 6 on on ADP fuelectenerg-3306 733 7 construction construction NOUN fuelectenerg-3306 733 8 of of ADP fuelectenerg-3306 733 9 subsets subset NOUN fuelectenerg-3306 733 10 of of ADP fuelectenerg-3306 733 11 bent bent ADJ fuelectenerg-3306 733 12 functions function NOUN fuelectenerg-3306 733 13 satisfying satisfy VERB fuelectenerg-3306 733 14 restrictions restriction NOUN fuelectenerg-3306 733 15 ... ... PUNCT fuelectenerg-3306 733 16 9 9 NUM fuelectenerg-3306 733 17 h(1 h(1 NOUN fuelectenerg-3306 733 18 , , PUNCT fuelectenerg-3306 733 19 2 2 NUM fuelectenerg-3306 733 20 ) ) PUNCT fuelectenerg-3306 733 21 , , PUNCT fuelectenerg-3306 733 22 and and CCONJ fuelectenerg-3306 733 23 h(2 h(2 NOUN fuelectenerg-3306 733 24 , , PUNCT fuelectenerg-3306 733 25 2 2 NUM fuelectenerg-3306 733 26 ) ) PUNCT fuelectenerg-3306 733 27 . . PUNCT fuelectenerg-3306 734 1 there there PRON fuelectenerg-3306 734 2 are be VERB fuelectenerg-3306 734 3 h h PROPN fuelectenerg-3306 734 4 subsets subset NOUN fuelectenerg-3306 734 5 h(0 h(0 PROPN fuelectenerg-3306 734 6 , , PUNCT fuelectenerg-3306 734 7 0 0 NUM fuelectenerg-3306 734 8 ) ) PUNCT fuelectenerg-3306 734 9 , , PUNCT fuelectenerg-3306 734 10 h(0 h(0 PROPN fuelectenerg-3306 734 11 , , PUNCT fuelectenerg-3306 734 12 1 1 NUM fuelectenerg-3306 734 13 ) ) PUNCT fuelectenerg-3306 734 14 , , PUNCT fuelectenerg-3306 734 15 and and CCONJ fuelectenerg-3306 734 16 h(1 h(1 PROPN fuelectenerg-3306 734 17 , , PUNCT fuelectenerg-3306 734 18 1 1 NUM fuelectenerg-3306 734 19 ) ) PUNCT fuelectenerg-3306 734 20 , , PUNCT fuelectenerg-3306 734 21 that that PRON fuelectenerg-3306 734 22 do do AUX fuelectenerg-3306 734 23 not not PART fuelectenerg-3306 734 24 contain contain VERB fuelectenerg-3306 734 25 any any PRON fuelectenerg-3306 734 26 of of ADP fuelectenerg-3306 734 27 the the DET fuelectenerg-3306 734 28 bent bent ADJ fuelectenerg-3306 734 29 functions function NOUN fuelectenerg-3306 734 30 . . PUNCT fuelectenerg-3306 735 1 example example NOUN fuelectenerg-3306 735 2 6 6 NUM fuelectenerg-3306 735 3 for for ADP fuelectenerg-3306 735 4 bent bent ADJ fuelectenerg-3306 735 5 functions function NOUN fuelectenerg-3306 735 6 with with ADP fuelectenerg-3306 735 7 6 6 NUM fuelectenerg-3306 735 8 variables variable NOUN fuelectenerg-3306 735 9 , , PUNCT fuelectenerg-3306 735 10 there there PRON fuelectenerg-3306 735 11 are be VERB fuelectenerg-3306 735 12 10 10 NUM fuelectenerg-3306 735 13 possible possible ADJ fuelectenerg-3306 735 14 h h NOUN fuelectenerg-3306 735 15 subsets subset NOUN fuelectenerg-3306 735 16 : : PUNCT fuelectenerg-3306 736 1 h(0 h(0 NOUN fuelectenerg-3306 736 2 , , PUNCT fuelectenerg-3306 736 3 0 0 NUM fuelectenerg-3306 736 4 ) ) PUNCT fuelectenerg-3306 736 5 , , PUNCT fuelectenerg-3306 736 6 h(0 h(0 PROPN fuelectenerg-3306 736 7 , , PUNCT fuelectenerg-3306 736 8 1 1 NUM fuelectenerg-3306 736 9 ) ) PUNCT fuelectenerg-3306 736 10 , , PUNCT fuelectenerg-3306 736 11 h(0 h(0 PROPN fuelectenerg-3306 736 12 , , PUNCT fuelectenerg-3306 736 13 2 2 NUM fuelectenerg-3306 736 14 ) ) PUNCT fuelectenerg-3306 736 15 , , PUNCT fuelectenerg-3306 736 16 h(0 h(0 PROPN fuelectenerg-3306 736 17 , , PUNCT fuelectenerg-3306 736 18 3 3 NUM fuelectenerg-3306 736 19 ) ) PUNCT fuelectenerg-3306 736 20 , , PUNCT fuelectenerg-3306 736 21 h(1 h(1 PROPN fuelectenerg-3306 736 22 , , PUNCT fuelectenerg-3306 736 23 1 1 NUM fuelectenerg-3306 736 24 ) ) PUNCT fuelectenerg-3306 736 25 , , PUNCT fuelectenerg-3306 736 26 h(1 h(1 PROPN fuelectenerg-3306 736 27 , , PUNCT fuelectenerg-3306 736 28 2 2 NUM fuelectenerg-3306 736 29 ) ) PUNCT fuelectenerg-3306 736 30 , , PUNCT fuelectenerg-3306 736 31 h(1 h(1 PROPN fuelectenerg-3306 736 32 , , PUNCT fuelectenerg-3306 736 33 3 3 NUM fuelectenerg-3306 736 34 ) ) PUNCT fuelectenerg-3306 736 35 , , PUNCT fuelectenerg-3306 736 36 h(2 h(2 NOUN fuelectenerg-3306 736 37 , , PUNCT fuelectenerg-3306 736 38 2 2 NUM fuelectenerg-3306 736 39 ) ) PUNCT fuelectenerg-3306 736 40 , , PUNCT fuelectenerg-3306 736 41 h(2 h(2 NOUN fuelectenerg-3306 736 42 , , PUNCT fuelectenerg-3306 736 43 3 3 NUM fuelectenerg-3306 736 44 ) ) PUNCT fuelectenerg-3306 736 45 , , PUNCT fuelectenerg-3306 736 46 and and CCONJ fuelectenerg-3306 736 47 h(3 h(3 PROPN fuelectenerg-3306 736 48 , , PUNCT fuelectenerg-3306 736 49 3 3 NUM fuelectenerg-3306 736 50 ) ) PUNCT fuelectenerg-3306 736 51 . . PUNCT fuelectenerg-3306 737 1 some some PRON fuelectenerg-3306 737 2 of of ADP fuelectenerg-3306 737 3 subsets subset NOUN fuelectenerg-3306 737 4 also also ADV fuelectenerg-3306 737 5 do do AUX fuelectenerg-3306 737 6 not not PART fuelectenerg-3306 737 7 contain contain VERB fuelectenerg-3306 737 8 any any PRON fuelectenerg-3306 737 9 of of ADP fuelectenerg-3306 737 10 the the DET fuelectenerg-3306 737 11 bent bent ADJ fuelectenerg-3306 737 12 functions function NOUN fuelectenerg-3306 737 13 . . PUNCT fuelectenerg-3306 738 1 example example NOUN fuelectenerg-3306 738 2 7 7 NUM fuelectenerg-3306 738 3 two two NUM fuelectenerg-3306 738 4 bent bent ADJ fuelectenerg-3306 738 5 functions function NOUN fuelectenerg-3306 738 6 of of ADP fuelectenerg-3306 738 7 4 4 NUM fuelectenerg-3306 738 8 variables variable NOUN fuelectenerg-3306 738 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 738 10 , , PUNCT fuelectenerg-3306 738 11 x2 x2 PROPN fuelectenerg-3306 738 12 , , PUNCT fuelectenerg-3306 738 13 x3 x3 ADJ fuelectenerg-3306 738 14 , , PUNCT fuelectenerg-3306 738 15 x4 x4 PROPN fuelectenerg-3306 738 16 ) ) PUNCT fuelectenerg-3306 738 17 = = PUNCT fuelectenerg-3306 739 1 x1x2 x1x2 PROPN fuelectenerg-3306 739 2 ⊕ ⊕ PROPN fuelectenerg-3306 739 3 x2x4 x2x4 PUNCT fuelectenerg-3306 739 4 ⊕ ⊕ PROPN fuelectenerg-3306 739 5 x3x4 x3x4 ADP fuelectenerg-3306 739 6 , , PUNCT fuelectenerg-3306 739 7 and and CCONJ fuelectenerg-3306 739 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 739 9 , , PUNCT fuelectenerg-3306 739 10 x2 x2 PROPN fuelectenerg-3306 739 11 , , PUNCT fuelectenerg-3306 739 12 x3 x3 ADJ fuelectenerg-3306 739 13 , , PUNCT fuelectenerg-3306 739 14 x4 x4 PROPN fuelectenerg-3306 739 15 ) ) PUNCT fuelectenerg-3306 739 16 = = SYM fuelectenerg-3306 740 1 x1x3 x1x3 PROPN fuelectenerg-3306 740 2 ⊕ ⊕ PROPN fuelectenerg-3306 740 3 x2x4 x2x4 X fuelectenerg-3306 740 4 have have VERB fuelectenerg-3306 740 5 only only ADV fuelectenerg-3306 740 6 second second ADJ fuelectenerg-3306 740 7 order order NOUN fuelectenerg-3306 740 8 non non ADJ fuelectenerg-3306 740 9 - - ADJ fuelectenerg-3306 740 10 zero zero NUM fuelectenerg-3306 740 11 rm rm NOUN fuelectenerg-3306 740 12 - - PUNCT fuelectenerg-3306 740 13 coefficients coefficient NOUN fuelectenerg-3306 740 14 and and CCONJ fuelectenerg-3306 740 15 belong belong VERB fuelectenerg-3306 740 16 to to ADP fuelectenerg-3306 740 17 the the DET fuelectenerg-3306 740 18 same same ADJ fuelectenerg-3306 740 19 subset subset NOUN fuelectenerg-3306 740 20 h(2 h(2 NOUN fuelectenerg-3306 740 21 , , PUNCT fuelectenerg-3306 740 22 2 2 NUM fuelectenerg-3306 740 23 ) ) PUNCT fuelectenerg-3306 740 24 . . PUNCT fuelectenerg-3306 741 1 3.3 3.3 NUM fuelectenerg-3306 741 2 grid grid NOUN fuelectenerg-3306 741 3 subset subset NOUN fuelectenerg-3306 741 4 in in ADP fuelectenerg-3306 741 5 definition definition NOUN fuelectenerg-3306 741 6 of of ADP fuelectenerg-3306 741 7 this this DET fuelectenerg-3306 741 8 subset subset NOUN fuelectenerg-3306 741 9 , , PUNCT fuelectenerg-3306 741 10 we we PRON fuelectenerg-3306 741 11 take take VERB fuelectenerg-3306 741 12 into into ADP fuelectenerg-3306 741 13 account account NOUN fuelectenerg-3306 741 14 both both PRON fuelectenerg-3306 741 15 , , PUNCT fuelectenerg-3306 741 16 the the DET fuelectenerg-3306 741 17 orders order NOUN fuelectenerg-3306 741 18 and and CCONJ fuelectenerg-3306 741 19 the the DET fuelectenerg-3306 741 20 number number NOUN fuelectenerg-3306 741 21 of of ADP fuelectenerg-3306 741 22 the the DET fuelectenerg-3306 741 23 coefficients coefficient NOUN fuelectenerg-3306 741 24 . . PUNCT fuelectenerg-3306 742 1 definition definition NOUN fuelectenerg-3306 742 2 7 7 NUM fuelectenerg-3306 742 3 a a DET fuelectenerg-3306 742 4 bent bent ADJ fuelectenerg-3306 742 5 function function NOUN fuelectenerg-3306 742 6 belongs belong VERB fuelectenerg-3306 742 7 to to ADP fuelectenerg-3306 742 8 the the DET fuelectenerg-3306 742 9 grid grid NOUN fuelectenerg-3306 742 10 ( ( PUNCT fuelectenerg-3306 742 11 k k PROPN fuelectenerg-3306 742 12 , , PUNCT fuelectenerg-3306 742 13 kmin kmin NOUN fuelectenerg-3306 742 14 , , PUNCT fuelectenerg-3306 742 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 742 16 g(k g(k PROPN fuelectenerg-3306 742 17 , , PUNCT fuelectenerg-3306 742 18 kmin kmin NOUN fuelectenerg-3306 742 19 , , PUNCT fuelectenerg-3306 742 20 kmax kmax PROPN fuelectenerg-3306 742 21 ) ) PUNCT fuelectenerg-3306 742 22 iff iff NOUN fuelectenerg-3306 742 23 it it PRON fuelectenerg-3306 742 24 has have VERB fuelectenerg-3306 742 25 k k PROPN fuelectenerg-3306 742 26 non non ADJ fuelectenerg-3306 742 27 - - ADJ fuelectenerg-3306 742 28 zero zero NUM fuelectenerg-3306 742 29 rm rm NOUN fuelectenerg-3306 742 30 - - PUNCT fuelectenerg-3306 742 31 coefficients coefficient NOUN fuelectenerg-3306 742 32 and and CCONJ fuelectenerg-3306 742 33 minimum minimum ADJ fuelectenerg-3306 742 34 order order NOUN fuelectenerg-3306 742 35 of of ADP fuelectenerg-3306 742 36 rm rm PROPN fuelectenerg-3306 742 37 coefficients coefficient NOUN fuelectenerg-3306 742 38 kmin kmin NOUN fuelectenerg-3306 742 39 and and CCONJ fuelectenerg-3306 742 40 maximum maximum ADJ fuelectenerg-3306 742 41 order order NOUN fuelectenerg-3306 742 42 kmax kmax NOUN fuelectenerg-3306 742 43 . . PUNCT fuelectenerg-3306 743 1 the the DET fuelectenerg-3306 743 2 g g PROPN fuelectenerg-3306 743 3 subsets subset NOUN fuelectenerg-3306 743 4 of of ADP fuelectenerg-3306 743 5 bent bent ADJ fuelectenerg-3306 743 6 functions function NOUN fuelectenerg-3306 743 7 are be AUX fuelectenerg-3306 743 8 the the DET fuelectenerg-3306 743 9 intersection intersection NOUN fuelectenerg-3306 743 10 of of ADP fuelectenerg-3306 743 11 v v NOUN fuelectenerg-3306 743 12 and and CCONJ fuelectenerg-3306 743 13 h h NOUN fuelectenerg-3306 743 14 subsets subset NOUN fuelectenerg-3306 743 15 . . PUNCT fuelectenerg-3306 744 1 number number NOUN fuelectenerg-3306 744 2 of of ADP fuelectenerg-3306 744 3 g g PROPN fuelectenerg-3306 744 4 subsets subset NOUN fuelectenerg-3306 744 5 also also ADV fuelectenerg-3306 744 6 depends depend VERB fuelectenerg-3306 744 7 of of ADP fuelectenerg-3306 744 8 the the DET fuelectenerg-3306 744 9 number number NOUN fuelectenerg-3306 744 10 of of ADP fuelectenerg-3306 744 11 variables variable NOUN fuelectenerg-3306 744 12 of of ADP fuelectenerg-3306 744 13 the the DET fuelectenerg-3306 744 14 bent bent ADJ fuelectenerg-3306 744 15 functions function NOUN fuelectenerg-3306 744 16 . . PUNCT fuelectenerg-3306 745 1 for for ADP fuelectenerg-3306 745 2 example example NOUN fuelectenerg-3306 745 3 , , PUNCT fuelectenerg-3306 745 4 there there PRON fuelectenerg-3306 745 5 are be VERB fuelectenerg-3306 745 6 many many ADJ fuelectenerg-3306 745 7 g g NOUN fuelectenerg-3306 745 8 subsets subset NOUN fuelectenerg-3306 745 9 for for ADP fuelectenerg-3306 745 10 bent bent ADJ fuelectenerg-3306 745 11 functions function NOUN fuelectenerg-3306 745 12 with with ADP fuelectenerg-3306 745 13 4 4 NUM fuelectenerg-3306 745 14 variables variable NOUN fuelectenerg-3306 745 15 : : PUNCT fuelectenerg-3306 745 16 v v X fuelectenerg-3306 745 17 ( ( PUNCT fuelectenerg-3306 745 18 1 1 NUM fuelectenerg-3306 745 19 , , PUNCT fuelectenerg-3306 745 20 0 0 NUM fuelectenerg-3306 745 21 , , PUNCT fuelectenerg-3306 745 22 0 0 NUM fuelectenerg-3306 745 23 ) ) PUNCT fuelectenerg-3306 745 24 , , PUNCT fuelectenerg-3306 745 25 h(1 h(1 PROPN fuelectenerg-3306 745 26 , , PUNCT fuelectenerg-3306 745 27 0 0 NUM fuelectenerg-3306 745 28 , , PUNCT fuelectenerg-3306 745 29 1 1 NUM fuelectenerg-3306 745 30 ) ) PUNCT fuelectenerg-3306 745 31 , , PUNCT fuelectenerg-3306 745 32 ... ... PUNCT fuelectenerg-3306 745 33 , , PUNCT fuelectenerg-3306 745 34 h(6 h(6 PROPN fuelectenerg-3306 745 35 , , PUNCT fuelectenerg-3306 745 36 2 2 NUM fuelectenerg-3306 745 37 , , PUNCT fuelectenerg-3306 745 38 2 2 NUM fuelectenerg-3306 745 39 ) ) PUNCT fuelectenerg-3306 745 40 . . PUNCT fuelectenerg-3306 746 1 there there PRON fuelectenerg-3306 746 2 are be VERB fuelectenerg-3306 746 3 also also ADV fuelectenerg-3306 746 4 many many ADJ fuelectenerg-3306 746 5 subsets subset NOUN fuelectenerg-3306 746 6 that that PRON fuelectenerg-3306 746 7 do do AUX fuelectenerg-3306 746 8 not not PART fuelectenerg-3306 746 9 contain contain VERB fuelectenerg-3306 746 10 any any PRON fuelectenerg-3306 746 11 of of ADP fuelectenerg-3306 746 12 the the DET fuelectenerg-3306 746 13 bent bent ADJ fuelectenerg-3306 746 14 functions function NOUN fuelectenerg-3306 746 15 . . PUNCT fuelectenerg-3306 747 1 example example NOUN fuelectenerg-3306 747 2 8 8 NUM fuelectenerg-3306 747 3 two two NUM fuelectenerg-3306 747 4 bent bent ADJ fuelectenerg-3306 747 5 functions function NOUN fuelectenerg-3306 747 6 of of ADP fuelectenerg-3306 747 7 4 4 NUM fuelectenerg-3306 747 8 variables variable NOUN fuelectenerg-3306 747 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 747 10 , , PUNCT fuelectenerg-3306 747 11 x2 x2 PROPN fuelectenerg-3306 747 12 , , PUNCT fuelectenerg-3306 747 13 x3 x3 ADJ fuelectenerg-3306 747 14 , , PUNCT fuelectenerg-3306 747 15 x4 x4 PROPN fuelectenerg-3306 747 16 ) ) PUNCT fuelectenerg-3306 747 17 = = SYM fuelectenerg-3306 748 1 x1x2 x1x2 PROPN fuelectenerg-3306 748 2 ⊕ ⊕ PROPN fuelectenerg-3306 748 3 x3x4 x3x4 ADP fuelectenerg-3306 748 4 , , PUNCT fuelectenerg-3306 748 5 and and CCONJ fuelectenerg-3306 748 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 748 7 , , PUNCT fuelectenerg-3306 748 8 x2 x2 PROPN fuelectenerg-3306 748 9 , , PUNCT fuelectenerg-3306 748 10 x3 x3 ADJ fuelectenerg-3306 748 11 , , PUNCT fuelectenerg-3306 748 12 x4 x4 PROPN fuelectenerg-3306 748 13 ) ) PUNCT fuelectenerg-3306 748 14 = = SYM fuelectenerg-3306 749 1 x1x3 x1x3 PROPN fuelectenerg-3306 749 2 ⊕ ⊕ PROPN fuelectenerg-3306 749 3 x2x4 x2x4 X fuelectenerg-3306 749 4 have have VERB fuelectenerg-3306 749 5 only only ADV fuelectenerg-3306 749 6 2 2 NUM fuelectenerg-3306 749 7 and and CCONJ fuelectenerg-3306 749 8 second second ADJ fuelectenerg-3306 749 9 order order NOUN fuelectenerg-3306 749 10 non non ADJ fuelectenerg-3306 749 11 - - ADJ fuelectenerg-3306 749 12 zero zero NUM fuelectenerg-3306 749 13 rm rm NOUN fuelectenerg-3306 749 14 - - PUNCT fuelectenerg-3306 749 15 coefficients coefficient NOUN fuelectenerg-3306 749 16 and and CCONJ fuelectenerg-3306 749 17 belong belong VERB fuelectenerg-3306 749 18 to to ADP fuelectenerg-3306 749 19 the the DET fuelectenerg-3306 749 20 same same ADJ fuelectenerg-3306 749 21 subset subset NOUN fuelectenerg-3306 749 22 g(2 g(2 PROPN fuelectenerg-3306 749 23 , , PUNCT fuelectenerg-3306 749 24 2 2 NUM fuelectenerg-3306 749 25 , , PUNCT fuelectenerg-3306 749 26 2 2 NUM fuelectenerg-3306 749 27 ) ) PUNCT fuelectenerg-3306 749 28 . . PUNCT fuelectenerg-3306 750 1 it it PRON fuelectenerg-3306 750 2 should should AUX fuelectenerg-3306 750 3 be be AUX fuelectenerg-3306 750 4 noticed notice VERB fuelectenerg-3306 750 5 that that SCONJ fuelectenerg-3306 750 6 there there PRON fuelectenerg-3306 750 7 are be VERB fuelectenerg-3306 750 8 bent bent ADJ fuelectenerg-3306 750 9 functions function NOUN fuelectenerg-3306 750 10 that that PRON fuelectenerg-3306 750 11 do do AUX fuelectenerg-3306 750 12 not not PART fuelectenerg-3306 750 13 belongs belong VERB fuelectenerg-3306 750 14 to to ADP fuelectenerg-3306 750 15 any any PRON fuelectenerg-3306 750 16 of of ADP fuelectenerg-3306 750 17 g g PROPN fuelectenerg-3306 750 18 subsets subset NOUN fuelectenerg-3306 750 19 . . PUNCT fuelectenerg-3306 751 1 4 4 NUM fuelectenerg-3306 751 2 experimental experimental ADJ fuelectenerg-3306 751 3 results result NOUN fuelectenerg-3306 751 4 in in ADP fuelectenerg-3306 751 5 this this DET fuelectenerg-3306 751 6 section section NOUN fuelectenerg-3306 751 7 , , PUNCT fuelectenerg-3306 751 8 we we PRON fuelectenerg-3306 751 9 made make VERB fuelectenerg-3306 751 10 enumeration enumeration NOUN fuelectenerg-3306 751 11 of of ADP fuelectenerg-3306 751 12 bent bent ADJ fuelectenerg-3306 751 13 functions function NOUN fuelectenerg-3306 751 14 in in ADP fuelectenerg-3306 751 15 some some DET fuelectenerg-3306 751 16 vertical vertical ADJ fuelectenerg-3306 751 17 , , PUNCT fuelectenerg-3306 751 18 horizontal horizontal ADJ fuelectenerg-3306 751 19 and and CCONJ fuelectenerg-3306 751 20 grid grid NOUN fuelectenerg-3306 751 21 subsets subset NOUN fuelectenerg-3306 751 22 for for ADP fuelectenerg-3306 751 23 functions function NOUN fuelectenerg-3306 751 24 with with ADP fuelectenerg-3306 751 25 4 4 NUM fuelectenerg-3306 751 26 , , PUNCT fuelectenerg-3306 751 27 6 6 NUM fuelectenerg-3306 751 28 , , PUNCT fuelectenerg-3306 751 29 and and CCONJ fuelectenerg-3306 751 30 8 8 NUM fuelectenerg-3306 751 31 variables variable NOUN fuelectenerg-3306 751 32 . . PUNCT fuelectenerg-3306 752 1 there there PRON fuelectenerg-3306 752 2 are be VERB fuelectenerg-3306 752 3 two two NUM fuelectenerg-3306 752 4 types type NOUN fuelectenerg-3306 752 5 of of ADP fuelectenerg-3306 752 6 methods method NOUN fuelectenerg-3306 752 7 for for ADP fuelectenerg-3306 752 8 enumerations enumeration NOUN fuelectenerg-3306 752 9 of of ADP fuelectenerg-3306 752 10 bent bent ADJ fuelectenerg-3306 752 11 functions function NOUN fuelectenerg-3306 752 12 , , PUNCT fuelectenerg-3306 752 13 primary primary ADJ fuelectenerg-3306 752 14 and and CCONJ fuelectenerg-3306 752 15 secondary secondary ADJ fuelectenerg-3306 752 16 . . PUNCT fuelectenerg-3306 753 1 the the DET fuelectenerg-3306 753 2 primary primary ADJ fuelectenerg-3306 753 3 methods method NOUN fuelectenerg-3306 753 4 are be AUX fuelectenerg-3306 753 5 based base VERB fuelectenerg-3306 753 6 on on ADP fuelectenerg-3306 753 7 the the DET fuelectenerg-3306 753 8 direct direct ADJ fuelectenerg-3306 753 9 enumeration enumeration NOUN fuelectenerg-3306 753 10 in in ADP fuelectenerg-3306 753 11 the the DET fuelectenerg-3306 753 12 boolean boolean ADJ fuelectenerg-3306 753 13 domain domain NOUN fuelectenerg-3306 753 14 . . PUNCT fuelectenerg-3306 754 1 the the DET fuelectenerg-3306 754 2 secondary secondary ADJ fuelectenerg-3306 754 3 methods method NOUN fuelectenerg-3306 754 4 are be AUX fuelectenerg-3306 754 5 based base VERB fuelectenerg-3306 754 6 on on ADP fuelectenerg-3306 754 7 construction construction NOUN fuelectenerg-3306 754 8 of of ADP fuelectenerg-3306 754 9 subsets subset NOUN fuelectenerg-3306 754 10 of of ADP fuelectenerg-3306 754 11 bent bent ADJ fuelectenerg-3306 754 12 functions function NOUN fuelectenerg-3306 754 13 satisfying satisfy VERB fuelectenerg-3306 754 14 restrictions restriction NOUN fuelectenerg-3306 754 15 ... ... PUNCT fuelectenerg-3306 754 16 9 9 NUM fuelectenerg-3306 754 17 h(1 h(1 NOUN fuelectenerg-3306 754 18 , , PUNCT fuelectenerg-3306 754 19 2 2 NUM fuelectenerg-3306 754 20 ) ) PUNCT fuelectenerg-3306 754 21 , , PUNCT fuelectenerg-3306 754 22 and and CCONJ fuelectenerg-3306 754 23 h(2 h(2 NOUN fuelectenerg-3306 754 24 , , PUNCT fuelectenerg-3306 754 25 2 2 NUM fuelectenerg-3306 754 26 ) ) PUNCT fuelectenerg-3306 754 27 . . PUNCT fuelectenerg-3306 755 1 there there PRON fuelectenerg-3306 755 2 are be VERB fuelectenerg-3306 755 3 h h PROPN fuelectenerg-3306 755 4 subsets subset NOUN fuelectenerg-3306 755 5 h(0 h(0 PROPN fuelectenerg-3306 755 6 , , PUNCT fuelectenerg-3306 755 7 0 0 NUM fuelectenerg-3306 755 8 ) ) PUNCT fuelectenerg-3306 755 9 , , PUNCT fuelectenerg-3306 755 10 h(0 h(0 PROPN fuelectenerg-3306 755 11 , , PUNCT fuelectenerg-3306 755 12 1 1 NUM fuelectenerg-3306 755 13 ) ) PUNCT fuelectenerg-3306 755 14 , , PUNCT fuelectenerg-3306 755 15 and and CCONJ fuelectenerg-3306 755 16 h(1 h(1 PROPN fuelectenerg-3306 755 17 , , PUNCT fuelectenerg-3306 755 18 1 1 NUM fuelectenerg-3306 755 19 ) ) PUNCT fuelectenerg-3306 755 20 , , PUNCT fuelectenerg-3306 755 21 that that PRON fuelectenerg-3306 755 22 do do AUX fuelectenerg-3306 755 23 not not PART fuelectenerg-3306 755 24 contain contain VERB fuelectenerg-3306 755 25 any any PRON fuelectenerg-3306 755 26 of of ADP fuelectenerg-3306 755 27 the the DET fuelectenerg-3306 755 28 bent bent ADJ fuelectenerg-3306 755 29 functions function NOUN fuelectenerg-3306 755 30 . . PUNCT fuelectenerg-3306 756 1 example example NOUN fuelectenerg-3306 756 2 6 6 NUM fuelectenerg-3306 756 3 for for ADP fuelectenerg-3306 756 4 bent bent ADJ fuelectenerg-3306 756 5 functions function NOUN fuelectenerg-3306 756 6 with with ADP fuelectenerg-3306 756 7 6 6 NUM fuelectenerg-3306 756 8 variables variable NOUN fuelectenerg-3306 756 9 , , PUNCT fuelectenerg-3306 756 10 there there PRON fuelectenerg-3306 756 11 are be VERB fuelectenerg-3306 756 12 10 10 NUM fuelectenerg-3306 756 13 possible possible ADJ fuelectenerg-3306 756 14 h h NOUN fuelectenerg-3306 756 15 subsets subset NOUN fuelectenerg-3306 756 16 : : PUNCT fuelectenerg-3306 757 1 h(0 h(0 NOUN fuelectenerg-3306 757 2 , , PUNCT fuelectenerg-3306 757 3 0 0 NUM fuelectenerg-3306 757 4 ) ) PUNCT fuelectenerg-3306 757 5 , , PUNCT fuelectenerg-3306 757 6 h(0 h(0 PROPN fuelectenerg-3306 757 7 , , PUNCT fuelectenerg-3306 757 8 1 1 NUM fuelectenerg-3306 757 9 ) ) PUNCT fuelectenerg-3306 757 10 , , PUNCT fuelectenerg-3306 757 11 h(0 h(0 PROPN fuelectenerg-3306 757 12 , , PUNCT fuelectenerg-3306 757 13 2 2 NUM fuelectenerg-3306 757 14 ) ) PUNCT fuelectenerg-3306 757 15 , , PUNCT fuelectenerg-3306 757 16 h(0 h(0 PROPN fuelectenerg-3306 757 17 , , PUNCT fuelectenerg-3306 757 18 3 3 NUM fuelectenerg-3306 757 19 ) ) PUNCT fuelectenerg-3306 757 20 , , PUNCT fuelectenerg-3306 757 21 h(1 h(1 PROPN fuelectenerg-3306 757 22 , , PUNCT fuelectenerg-3306 757 23 1 1 NUM fuelectenerg-3306 757 24 ) ) PUNCT fuelectenerg-3306 757 25 , , PUNCT fuelectenerg-3306 757 26 h(1 h(1 PROPN fuelectenerg-3306 757 27 , , PUNCT fuelectenerg-3306 757 28 2 2 NUM fuelectenerg-3306 757 29 ) ) PUNCT fuelectenerg-3306 757 30 , , PUNCT fuelectenerg-3306 757 31 h(1 h(1 PROPN fuelectenerg-3306 757 32 , , PUNCT fuelectenerg-3306 757 33 3 3 NUM fuelectenerg-3306 757 34 ) ) PUNCT fuelectenerg-3306 757 35 , , PUNCT fuelectenerg-3306 757 36 h(2 h(2 NOUN fuelectenerg-3306 757 37 , , PUNCT fuelectenerg-3306 757 38 2 2 NUM fuelectenerg-3306 757 39 ) ) PUNCT fuelectenerg-3306 757 40 , , PUNCT fuelectenerg-3306 757 41 h(2 h(2 NOUN fuelectenerg-3306 757 42 , , PUNCT fuelectenerg-3306 757 43 3 3 NUM fuelectenerg-3306 757 44 ) ) PUNCT fuelectenerg-3306 757 45 , , PUNCT fuelectenerg-3306 757 46 and and CCONJ fuelectenerg-3306 757 47 h(3 h(3 PROPN fuelectenerg-3306 757 48 , , PUNCT fuelectenerg-3306 757 49 3 3 NUM fuelectenerg-3306 757 50 ) ) PUNCT fuelectenerg-3306 757 51 . . PUNCT fuelectenerg-3306 758 1 some some PRON fuelectenerg-3306 758 2 of of ADP fuelectenerg-3306 758 3 subsets subset NOUN fuelectenerg-3306 758 4 also also ADV fuelectenerg-3306 758 5 do do AUX fuelectenerg-3306 758 6 not not PART fuelectenerg-3306 758 7 contain contain VERB fuelectenerg-3306 758 8 any any PRON fuelectenerg-3306 758 9 of of ADP fuelectenerg-3306 758 10 the the DET fuelectenerg-3306 758 11 bent bent ADJ fuelectenerg-3306 758 12 functions function NOUN fuelectenerg-3306 758 13 . . PUNCT fuelectenerg-3306 759 1 example example NOUN fuelectenerg-3306 759 2 7 7 NUM fuelectenerg-3306 759 3 two two NUM fuelectenerg-3306 759 4 bent bent ADJ fuelectenerg-3306 759 5 functions function NOUN fuelectenerg-3306 759 6 of of ADP fuelectenerg-3306 759 7 4 4 NUM fuelectenerg-3306 759 8 variables variable NOUN fuelectenerg-3306 759 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 759 10 , , PUNCT fuelectenerg-3306 759 11 x2 x2 PROPN fuelectenerg-3306 759 12 , , PUNCT fuelectenerg-3306 759 13 x3 x3 ADJ fuelectenerg-3306 759 14 , , PUNCT fuelectenerg-3306 759 15 x4 x4 PROPN fuelectenerg-3306 759 16 ) ) PUNCT fuelectenerg-3306 759 17 = = PUNCT fuelectenerg-3306 760 1 x1x2 x1x2 PROPN fuelectenerg-3306 760 2 ⊕ ⊕ PROPN fuelectenerg-3306 760 3 x2x4 x2x4 PUNCT fuelectenerg-3306 760 4 ⊕ ⊕ PROPN fuelectenerg-3306 760 5 x3x4 x3x4 ADP fuelectenerg-3306 760 6 , , PUNCT fuelectenerg-3306 760 7 and and CCONJ fuelectenerg-3306 760 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 760 9 , , PUNCT fuelectenerg-3306 760 10 x2 x2 PROPN fuelectenerg-3306 760 11 , , PUNCT fuelectenerg-3306 760 12 x3 x3 ADJ fuelectenerg-3306 760 13 , , PUNCT fuelectenerg-3306 760 14 x4 x4 PROPN fuelectenerg-3306 760 15 ) ) PUNCT fuelectenerg-3306 760 16 = = SYM fuelectenerg-3306 761 1 x1x3 x1x3 PROPN fuelectenerg-3306 761 2 ⊕ ⊕ PROPN fuelectenerg-3306 761 3 x2x4 x2x4 X fuelectenerg-3306 761 4 have have VERB fuelectenerg-3306 761 5 only only ADV fuelectenerg-3306 761 6 second second ADJ fuelectenerg-3306 761 7 order order NOUN fuelectenerg-3306 761 8 non non ADJ fuelectenerg-3306 761 9 - - ADJ fuelectenerg-3306 761 10 zero zero NUM fuelectenerg-3306 761 11 rm rm NOUN fuelectenerg-3306 761 12 - - PUNCT fuelectenerg-3306 761 13 coefficients coefficient NOUN fuelectenerg-3306 761 14 and and CCONJ fuelectenerg-3306 761 15 belong belong VERB fuelectenerg-3306 761 16 to to ADP fuelectenerg-3306 761 17 the the DET fuelectenerg-3306 761 18 same same ADJ fuelectenerg-3306 761 19 subset subset NOUN fuelectenerg-3306 761 20 h(2 h(2 NOUN fuelectenerg-3306 761 21 , , PUNCT fuelectenerg-3306 761 22 2 2 NUM fuelectenerg-3306 761 23 ) ) PUNCT fuelectenerg-3306 761 24 . . PUNCT fuelectenerg-3306 762 1 3.3 3.3 NUM fuelectenerg-3306 762 2 grid grid NOUN fuelectenerg-3306 762 3 subset subset NOUN fuelectenerg-3306 762 4 in in ADP fuelectenerg-3306 762 5 definition definition NOUN fuelectenerg-3306 762 6 of of ADP fuelectenerg-3306 762 7 this this DET fuelectenerg-3306 762 8 subset subset NOUN fuelectenerg-3306 762 9 , , PUNCT fuelectenerg-3306 762 10 we we PRON fuelectenerg-3306 762 11 take take VERB fuelectenerg-3306 762 12 into into ADP fuelectenerg-3306 762 13 account account NOUN fuelectenerg-3306 762 14 both both PRON fuelectenerg-3306 762 15 , , PUNCT fuelectenerg-3306 762 16 the the DET fuelectenerg-3306 762 17 orders order NOUN fuelectenerg-3306 762 18 and and CCONJ fuelectenerg-3306 762 19 the the DET fuelectenerg-3306 762 20 number number NOUN fuelectenerg-3306 762 21 of of ADP fuelectenerg-3306 762 22 the the DET fuelectenerg-3306 762 23 coefficients coefficient NOUN fuelectenerg-3306 762 24 . . PUNCT fuelectenerg-3306 763 1 definition definition NOUN fuelectenerg-3306 763 2 7 7 NUM fuelectenerg-3306 763 3 a a DET fuelectenerg-3306 763 4 bent bent ADJ fuelectenerg-3306 763 5 function function NOUN fuelectenerg-3306 763 6 belongs belong VERB fuelectenerg-3306 763 7 to to ADP fuelectenerg-3306 763 8 the the DET fuelectenerg-3306 763 9 grid grid NOUN fuelectenerg-3306 763 10 ( ( PUNCT fuelectenerg-3306 763 11 k k PROPN fuelectenerg-3306 763 12 , , PUNCT fuelectenerg-3306 763 13 kmin kmin NOUN fuelectenerg-3306 763 14 , , PUNCT fuelectenerg-3306 763 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 763 16 g(k g(k PROPN fuelectenerg-3306 763 17 , , PUNCT fuelectenerg-3306 763 18 kmin kmin NOUN fuelectenerg-3306 763 19 , , PUNCT fuelectenerg-3306 763 20 kmax kmax PROPN fuelectenerg-3306 763 21 ) ) PUNCT fuelectenerg-3306 763 22 iff iff NOUN fuelectenerg-3306 763 23 it it PRON fuelectenerg-3306 763 24 has have VERB fuelectenerg-3306 763 25 k k PROPN fuelectenerg-3306 763 26 non non ADJ fuelectenerg-3306 763 27 - - ADJ fuelectenerg-3306 763 28 zero zero NUM fuelectenerg-3306 763 29 rm rm NOUN fuelectenerg-3306 763 30 - - PUNCT fuelectenerg-3306 763 31 coefficients coefficient NOUN fuelectenerg-3306 763 32 and and CCONJ fuelectenerg-3306 763 33 minimum minimum ADJ fuelectenerg-3306 763 34 order order NOUN fuelectenerg-3306 763 35 of of ADP fuelectenerg-3306 763 36 rm rm PROPN fuelectenerg-3306 763 37 coefficients coefficient NOUN fuelectenerg-3306 763 38 kmin kmin NOUN fuelectenerg-3306 763 39 and and CCONJ fuelectenerg-3306 763 40 maximum maximum ADJ fuelectenerg-3306 763 41 order order NOUN fuelectenerg-3306 763 42 kmax kmax NOUN fuelectenerg-3306 763 43 . . PUNCT fuelectenerg-3306 764 1 the the DET fuelectenerg-3306 764 2 g g PROPN fuelectenerg-3306 764 3 subsets subset NOUN fuelectenerg-3306 764 4 of of ADP fuelectenerg-3306 764 5 bent bent ADJ fuelectenerg-3306 764 6 functions function NOUN fuelectenerg-3306 764 7 are be AUX fuelectenerg-3306 764 8 the the DET fuelectenerg-3306 764 9 intersection intersection NOUN fuelectenerg-3306 764 10 of of ADP fuelectenerg-3306 764 11 v v NOUN fuelectenerg-3306 764 12 and and CCONJ fuelectenerg-3306 764 13 h h NOUN fuelectenerg-3306 764 14 subsets subset NOUN fuelectenerg-3306 764 15 . . PUNCT fuelectenerg-3306 765 1 number number NOUN fuelectenerg-3306 765 2 of of ADP fuelectenerg-3306 765 3 g g PROPN fuelectenerg-3306 765 4 subsets subset NOUN fuelectenerg-3306 765 5 also also ADV fuelectenerg-3306 765 6 depends depend VERB fuelectenerg-3306 765 7 of of ADP fuelectenerg-3306 765 8 the the DET fuelectenerg-3306 765 9 number number NOUN fuelectenerg-3306 765 10 of of ADP fuelectenerg-3306 765 11 variables variable NOUN fuelectenerg-3306 765 12 of of ADP fuelectenerg-3306 765 13 the the DET fuelectenerg-3306 765 14 bent bent ADJ fuelectenerg-3306 765 15 functions function NOUN fuelectenerg-3306 765 16 . . PUNCT fuelectenerg-3306 766 1 for for ADP fuelectenerg-3306 766 2 example example NOUN fuelectenerg-3306 766 3 , , PUNCT fuelectenerg-3306 766 4 there there PRON fuelectenerg-3306 766 5 are be VERB fuelectenerg-3306 766 6 many many ADJ fuelectenerg-3306 766 7 g g NOUN fuelectenerg-3306 766 8 subsets subset NOUN fuelectenerg-3306 766 9 for for ADP fuelectenerg-3306 766 10 bent bent ADJ fuelectenerg-3306 766 11 functions function NOUN fuelectenerg-3306 766 12 with with ADP fuelectenerg-3306 766 13 4 4 NUM fuelectenerg-3306 766 14 variables variable NOUN fuelectenerg-3306 766 15 : : PUNCT fuelectenerg-3306 766 16 v v X fuelectenerg-3306 766 17 ( ( PUNCT fuelectenerg-3306 766 18 1 1 NUM fuelectenerg-3306 766 19 , , PUNCT fuelectenerg-3306 766 20 0 0 NUM fuelectenerg-3306 766 21 , , PUNCT fuelectenerg-3306 766 22 0 0 NUM fuelectenerg-3306 766 23 ) ) PUNCT fuelectenerg-3306 766 24 , , PUNCT fuelectenerg-3306 766 25 h(1 h(1 PROPN fuelectenerg-3306 766 26 , , PUNCT fuelectenerg-3306 766 27 0 0 NUM fuelectenerg-3306 766 28 , , PUNCT fuelectenerg-3306 766 29 1 1 NUM fuelectenerg-3306 766 30 ) ) PUNCT fuelectenerg-3306 766 31 , , PUNCT fuelectenerg-3306 766 32 ... ... PUNCT fuelectenerg-3306 766 33 , , PUNCT fuelectenerg-3306 766 34 h(6 h(6 PROPN fuelectenerg-3306 766 35 , , PUNCT fuelectenerg-3306 766 36 2 2 NUM fuelectenerg-3306 766 37 , , PUNCT fuelectenerg-3306 766 38 2 2 NUM fuelectenerg-3306 766 39 ) ) PUNCT fuelectenerg-3306 766 40 . . PUNCT fuelectenerg-3306 767 1 there there PRON fuelectenerg-3306 767 2 are be VERB fuelectenerg-3306 767 3 also also ADV fuelectenerg-3306 767 4 many many ADJ fuelectenerg-3306 767 5 subsets subset NOUN fuelectenerg-3306 767 6 that that PRON fuelectenerg-3306 767 7 do do AUX fuelectenerg-3306 767 8 not not PART fuelectenerg-3306 767 9 contain contain VERB fuelectenerg-3306 767 10 any any PRON fuelectenerg-3306 767 11 of of ADP fuelectenerg-3306 767 12 the the DET fuelectenerg-3306 767 13 bent bent ADJ fuelectenerg-3306 767 14 functions function NOUN fuelectenerg-3306 767 15 . . PUNCT fuelectenerg-3306 768 1 example example NOUN fuelectenerg-3306 768 2 8 8 NUM fuelectenerg-3306 768 3 two two NUM fuelectenerg-3306 768 4 bent bent ADJ fuelectenerg-3306 768 5 functions function NOUN fuelectenerg-3306 768 6 of of ADP fuelectenerg-3306 768 7 4 4 NUM fuelectenerg-3306 768 8 variables variable NOUN fuelectenerg-3306 768 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 768 10 , , PUNCT fuelectenerg-3306 768 11 x2 x2 PROPN fuelectenerg-3306 768 12 , , PUNCT fuelectenerg-3306 768 13 x3 x3 ADJ fuelectenerg-3306 768 14 , , PUNCT fuelectenerg-3306 768 15 x4 x4 PROPN fuelectenerg-3306 768 16 ) ) PUNCT fuelectenerg-3306 768 17 = = SYM fuelectenerg-3306 769 1 x1x2 x1x2 PROPN fuelectenerg-3306 769 2 ⊕ ⊕ PROPN fuelectenerg-3306 769 3 x3x4 x3x4 ADP fuelectenerg-3306 769 4 , , PUNCT fuelectenerg-3306 769 5 and and CCONJ fuelectenerg-3306 769 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 769 7 , , PUNCT fuelectenerg-3306 769 8 x2 x2 PROPN fuelectenerg-3306 769 9 , , PUNCT fuelectenerg-3306 769 10 x3 x3 ADJ fuelectenerg-3306 769 11 , , PUNCT fuelectenerg-3306 769 12 x4 x4 PROPN fuelectenerg-3306 769 13 ) ) PUNCT fuelectenerg-3306 769 14 = = SYM fuelectenerg-3306 770 1 x1x3 x1x3 PROPN fuelectenerg-3306 770 2 ⊕ ⊕ PROPN fuelectenerg-3306 770 3 x2x4 x2x4 X fuelectenerg-3306 770 4 have have VERB fuelectenerg-3306 770 5 only only ADV fuelectenerg-3306 770 6 2 2 NUM fuelectenerg-3306 770 7 and and CCONJ fuelectenerg-3306 770 8 second second ADJ fuelectenerg-3306 770 9 order order NOUN fuelectenerg-3306 770 10 non non ADJ fuelectenerg-3306 770 11 - - ADJ fuelectenerg-3306 770 12 zero zero NUM fuelectenerg-3306 770 13 rm rm NOUN fuelectenerg-3306 770 14 - - PUNCT fuelectenerg-3306 770 15 coefficients coefficient NOUN fuelectenerg-3306 770 16 and and CCONJ fuelectenerg-3306 770 17 belong belong VERB fuelectenerg-3306 770 18 to to ADP fuelectenerg-3306 770 19 the the DET fuelectenerg-3306 770 20 same same ADJ fuelectenerg-3306 770 21 subset subset NOUN fuelectenerg-3306 770 22 g(2 g(2 PROPN fuelectenerg-3306 770 23 , , PUNCT fuelectenerg-3306 770 24 2 2 NUM fuelectenerg-3306 770 25 , , PUNCT fuelectenerg-3306 770 26 2 2 NUM fuelectenerg-3306 770 27 ) ) PUNCT fuelectenerg-3306 770 28 . . PUNCT fuelectenerg-3306 771 1 it it PRON fuelectenerg-3306 771 2 should should AUX fuelectenerg-3306 771 3 be be AUX fuelectenerg-3306 771 4 noticed notice VERB fuelectenerg-3306 771 5 that that SCONJ fuelectenerg-3306 771 6 there there PRON fuelectenerg-3306 771 7 are be VERB fuelectenerg-3306 771 8 bent bent ADJ fuelectenerg-3306 771 9 functions function NOUN fuelectenerg-3306 771 10 that that PRON fuelectenerg-3306 771 11 do do AUX fuelectenerg-3306 771 12 not not PART fuelectenerg-3306 771 13 belongs belong VERB fuelectenerg-3306 771 14 to to ADP fuelectenerg-3306 771 15 any any PRON fuelectenerg-3306 771 16 of of ADP fuelectenerg-3306 771 17 g g PROPN fuelectenerg-3306 771 18 subsets subset NOUN fuelectenerg-3306 771 19 . . PUNCT fuelectenerg-3306 772 1 4 4 NUM fuelectenerg-3306 772 2 experimental experimental ADJ fuelectenerg-3306 772 3 results result NOUN fuelectenerg-3306 772 4 in in ADP fuelectenerg-3306 772 5 this this DET fuelectenerg-3306 772 6 section section NOUN fuelectenerg-3306 772 7 , , PUNCT fuelectenerg-3306 772 8 we we PRON fuelectenerg-3306 772 9 made make VERB fuelectenerg-3306 772 10 enumeration enumeration NOUN fuelectenerg-3306 772 11 of of ADP fuelectenerg-3306 772 12 bent bent ADJ fuelectenerg-3306 772 13 functions function NOUN fuelectenerg-3306 772 14 in in ADP fuelectenerg-3306 772 15 some some DET fuelectenerg-3306 772 16 vertical vertical ADJ fuelectenerg-3306 772 17 , , PUNCT fuelectenerg-3306 772 18 horizontal horizontal ADJ fuelectenerg-3306 772 19 and and CCONJ fuelectenerg-3306 772 20 grid grid NOUN fuelectenerg-3306 772 21 subsets subset NOUN fuelectenerg-3306 772 22 for for ADP fuelectenerg-3306 772 23 functions function NOUN fuelectenerg-3306 772 24 with with ADP fuelectenerg-3306 772 25 4 4 NUM fuelectenerg-3306 772 26 , , PUNCT fuelectenerg-3306 772 27 6 6 NUM fuelectenerg-3306 772 28 , , PUNCT fuelectenerg-3306 772 29 and and CCONJ fuelectenerg-3306 772 30 8 8 NUM fuelectenerg-3306 772 31 variables variable NOUN fuelectenerg-3306 772 32 . . PUNCT fuelectenerg-3306 773 1 there there PRON fuelectenerg-3306 773 2 are be VERB fuelectenerg-3306 773 3 two two NUM fuelectenerg-3306 773 4 types type NOUN fuelectenerg-3306 773 5 of of ADP fuelectenerg-3306 773 6 methods method NOUN fuelectenerg-3306 773 7 for for ADP fuelectenerg-3306 773 8 enumerations enumeration NOUN fuelectenerg-3306 773 9 of of ADP fuelectenerg-3306 773 10 bent bent ADJ fuelectenerg-3306 773 11 functions function NOUN fuelectenerg-3306 773 12 , , PUNCT fuelectenerg-3306 773 13 primary primary ADJ fuelectenerg-3306 773 14 and and CCONJ fuelectenerg-3306 773 15 secondary secondary ADJ fuelectenerg-3306 773 16 . . PUNCT fuelectenerg-3306 774 1 the the DET fuelectenerg-3306 774 2 primary primary ADJ fuelectenerg-3306 774 3 methods method NOUN fuelectenerg-3306 774 4 are be AUX fuelectenerg-3306 774 5 based base VERB fuelectenerg-3306 774 6 on on ADP fuelectenerg-3306 774 7 the the DET fuelectenerg-3306 774 8 direct direct ADJ fuelectenerg-3306 774 9 enumeration enumeration NOUN fuelectenerg-3306 774 10 in in ADP fuelectenerg-3306 774 11 the the DET fuelectenerg-3306 774 12 boolean boolean ADJ fuelectenerg-3306 774 13 domain domain NOUN fuelectenerg-3306 774 14 . . PUNCT fuelectenerg-3306 775 1 the the DET fuelectenerg-3306 775 2 secondary secondary ADJ fuelectenerg-3306 775 3 methods method NOUN fuelectenerg-3306 775 4 are be AUX fuelectenerg-3306 775 5 based base VERB fuelectenerg-3306 775 6 on on ADP fuelectenerg-3306 775 7 construction construction NOUN fuelectenerg-3306 775 8 of of ADP fuelectenerg-3306 775 9 subsets subset NOUN fuelectenerg-3306 775 10 of of ADP fuelectenerg-3306 775 11 bent bent ADJ fuelectenerg-3306 775 12 functions function NOUN fuelectenerg-3306 775 13 satisfying satisfy VERB fuelectenerg-3306 775 14 restrictions restriction NOUN fuelectenerg-3306 775 15 ... ... PUNCT fuelectenerg-3306 775 16 9 9 NUM fuelectenerg-3306 775 17 h(1 h(1 NOUN fuelectenerg-3306 775 18 , , PUNCT fuelectenerg-3306 775 19 2 2 NUM fuelectenerg-3306 775 20 ) ) PUNCT fuelectenerg-3306 775 21 , , PUNCT fuelectenerg-3306 775 22 and and CCONJ fuelectenerg-3306 775 23 h(2 h(2 NOUN fuelectenerg-3306 775 24 , , PUNCT fuelectenerg-3306 775 25 2 2 NUM fuelectenerg-3306 775 26 ) ) PUNCT fuelectenerg-3306 775 27 . . PUNCT fuelectenerg-3306 776 1 there there PRON fuelectenerg-3306 776 2 are be VERB fuelectenerg-3306 776 3 h h PROPN fuelectenerg-3306 776 4 subsets subset NOUN fuelectenerg-3306 776 5 h(0 h(0 PROPN fuelectenerg-3306 776 6 , , PUNCT fuelectenerg-3306 776 7 0 0 NUM fuelectenerg-3306 776 8 ) ) PUNCT fuelectenerg-3306 776 9 , , PUNCT fuelectenerg-3306 776 10 h(0 h(0 PROPN fuelectenerg-3306 776 11 , , PUNCT fuelectenerg-3306 776 12 1 1 NUM fuelectenerg-3306 776 13 ) ) PUNCT fuelectenerg-3306 776 14 , , PUNCT fuelectenerg-3306 776 15 and and CCONJ fuelectenerg-3306 776 16 h(1 h(1 PROPN fuelectenerg-3306 776 17 , , PUNCT fuelectenerg-3306 776 18 1 1 NUM fuelectenerg-3306 776 19 ) ) PUNCT fuelectenerg-3306 776 20 , , PUNCT fuelectenerg-3306 776 21 that that PRON fuelectenerg-3306 776 22 do do AUX fuelectenerg-3306 776 23 not not PART fuelectenerg-3306 776 24 contain contain VERB fuelectenerg-3306 776 25 any any PRON fuelectenerg-3306 776 26 of of ADP fuelectenerg-3306 776 27 the the DET fuelectenerg-3306 776 28 bent bent ADJ fuelectenerg-3306 776 29 functions function NOUN fuelectenerg-3306 776 30 . . PUNCT fuelectenerg-3306 777 1 example example NOUN fuelectenerg-3306 777 2 6 6 NUM fuelectenerg-3306 777 3 for for ADP fuelectenerg-3306 777 4 bent bent ADJ fuelectenerg-3306 777 5 functions function NOUN fuelectenerg-3306 777 6 with with ADP fuelectenerg-3306 777 7 6 6 NUM fuelectenerg-3306 777 8 variables variable NOUN fuelectenerg-3306 777 9 , , PUNCT fuelectenerg-3306 777 10 there there PRON fuelectenerg-3306 777 11 are be VERB fuelectenerg-3306 777 12 10 10 NUM fuelectenerg-3306 777 13 possible possible ADJ fuelectenerg-3306 777 14 h h NOUN fuelectenerg-3306 777 15 subsets subset NOUN fuelectenerg-3306 777 16 : : PUNCT fuelectenerg-3306 778 1 h(0 h(0 NOUN fuelectenerg-3306 778 2 , , PUNCT fuelectenerg-3306 778 3 0 0 NUM fuelectenerg-3306 778 4 ) ) PUNCT fuelectenerg-3306 778 5 , , PUNCT fuelectenerg-3306 778 6 h(0 h(0 PROPN fuelectenerg-3306 778 7 , , PUNCT fuelectenerg-3306 778 8 1 1 NUM fuelectenerg-3306 778 9 ) ) PUNCT fuelectenerg-3306 778 10 , , PUNCT fuelectenerg-3306 778 11 h(0 h(0 PROPN fuelectenerg-3306 778 12 , , PUNCT fuelectenerg-3306 778 13 2 2 NUM fuelectenerg-3306 778 14 ) ) PUNCT fuelectenerg-3306 778 15 , , PUNCT fuelectenerg-3306 778 16 h(0 h(0 PROPN fuelectenerg-3306 778 17 , , PUNCT fuelectenerg-3306 778 18 3 3 NUM fuelectenerg-3306 778 19 ) ) PUNCT fuelectenerg-3306 778 20 , , PUNCT fuelectenerg-3306 778 21 h(1 h(1 PROPN fuelectenerg-3306 778 22 , , PUNCT fuelectenerg-3306 778 23 1 1 NUM fuelectenerg-3306 778 24 ) ) PUNCT fuelectenerg-3306 778 25 , , PUNCT fuelectenerg-3306 778 26 h(1 h(1 PROPN fuelectenerg-3306 778 27 , , PUNCT fuelectenerg-3306 778 28 2 2 NUM fuelectenerg-3306 778 29 ) ) PUNCT fuelectenerg-3306 778 30 , , PUNCT fuelectenerg-3306 778 31 h(1 h(1 PROPN fuelectenerg-3306 778 32 , , PUNCT fuelectenerg-3306 778 33 3 3 NUM fuelectenerg-3306 778 34 ) ) PUNCT fuelectenerg-3306 778 35 , , PUNCT fuelectenerg-3306 778 36 h(2 h(2 NOUN fuelectenerg-3306 778 37 , , PUNCT fuelectenerg-3306 778 38 2 2 NUM fuelectenerg-3306 778 39 ) ) PUNCT fuelectenerg-3306 778 40 , , PUNCT fuelectenerg-3306 778 41 h(2 h(2 NOUN fuelectenerg-3306 778 42 , , PUNCT fuelectenerg-3306 778 43 3 3 NUM fuelectenerg-3306 778 44 ) ) PUNCT fuelectenerg-3306 778 45 , , PUNCT fuelectenerg-3306 778 46 and and CCONJ fuelectenerg-3306 778 47 h(3 h(3 PROPN fuelectenerg-3306 778 48 , , PUNCT fuelectenerg-3306 778 49 3 3 NUM fuelectenerg-3306 778 50 ) ) PUNCT fuelectenerg-3306 778 51 . . PUNCT fuelectenerg-3306 779 1 some some PRON fuelectenerg-3306 779 2 of of ADP fuelectenerg-3306 779 3 subsets subset NOUN fuelectenerg-3306 779 4 also also ADV fuelectenerg-3306 779 5 do do AUX fuelectenerg-3306 779 6 not not PART fuelectenerg-3306 779 7 contain contain VERB fuelectenerg-3306 779 8 any any PRON fuelectenerg-3306 779 9 of of ADP fuelectenerg-3306 779 10 the the DET fuelectenerg-3306 779 11 bent bent ADJ fuelectenerg-3306 779 12 functions function NOUN fuelectenerg-3306 779 13 . . PUNCT fuelectenerg-3306 780 1 example example NOUN fuelectenerg-3306 780 2 7 7 NUM fuelectenerg-3306 780 3 two two NUM fuelectenerg-3306 780 4 bent bent ADJ fuelectenerg-3306 780 5 functions function NOUN fuelectenerg-3306 780 6 of of ADP fuelectenerg-3306 780 7 4 4 NUM fuelectenerg-3306 780 8 variables variable NOUN fuelectenerg-3306 780 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 780 10 , , PUNCT fuelectenerg-3306 780 11 x2 x2 PROPN fuelectenerg-3306 780 12 , , PUNCT fuelectenerg-3306 780 13 x3 x3 ADJ fuelectenerg-3306 780 14 , , PUNCT fuelectenerg-3306 780 15 x4 x4 PROPN fuelectenerg-3306 780 16 ) ) PUNCT fuelectenerg-3306 780 17 = = PUNCT fuelectenerg-3306 781 1 x1x2 x1x2 PROPN fuelectenerg-3306 781 2 ⊕ ⊕ PROPN fuelectenerg-3306 781 3 x2x4 x2x4 PUNCT fuelectenerg-3306 781 4 ⊕ ⊕ PROPN fuelectenerg-3306 781 5 x3x4 x3x4 ADP fuelectenerg-3306 781 6 , , PUNCT fuelectenerg-3306 781 7 and and CCONJ fuelectenerg-3306 781 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 781 9 , , PUNCT fuelectenerg-3306 781 10 x2 x2 PROPN fuelectenerg-3306 781 11 , , PUNCT fuelectenerg-3306 781 12 x3 x3 ADJ fuelectenerg-3306 781 13 , , PUNCT fuelectenerg-3306 781 14 x4 x4 PROPN fuelectenerg-3306 781 15 ) ) PUNCT fuelectenerg-3306 781 16 = = SYM fuelectenerg-3306 782 1 x1x3 x1x3 PROPN fuelectenerg-3306 782 2 ⊕ ⊕ PROPN fuelectenerg-3306 782 3 x2x4 x2x4 X fuelectenerg-3306 782 4 have have VERB fuelectenerg-3306 782 5 only only ADV fuelectenerg-3306 782 6 second second ADJ fuelectenerg-3306 782 7 order order NOUN fuelectenerg-3306 782 8 non non ADJ fuelectenerg-3306 782 9 - - ADJ fuelectenerg-3306 782 10 zero zero NUM fuelectenerg-3306 782 11 rm rm NOUN fuelectenerg-3306 782 12 - - PUNCT fuelectenerg-3306 782 13 coefficients coefficient NOUN fuelectenerg-3306 782 14 and and CCONJ fuelectenerg-3306 782 15 belong belong VERB fuelectenerg-3306 782 16 to to ADP fuelectenerg-3306 782 17 the the DET fuelectenerg-3306 782 18 same same ADJ fuelectenerg-3306 782 19 subset subset NOUN fuelectenerg-3306 782 20 h(2 h(2 NOUN fuelectenerg-3306 782 21 , , PUNCT fuelectenerg-3306 782 22 2 2 NUM fuelectenerg-3306 782 23 ) ) PUNCT fuelectenerg-3306 782 24 . . PUNCT fuelectenerg-3306 783 1 3.3 3.3 NUM fuelectenerg-3306 783 2 grid grid NOUN fuelectenerg-3306 783 3 subset subset NOUN fuelectenerg-3306 783 4 in in ADP fuelectenerg-3306 783 5 definition definition NOUN fuelectenerg-3306 783 6 of of ADP fuelectenerg-3306 783 7 this this DET fuelectenerg-3306 783 8 subset subset NOUN fuelectenerg-3306 783 9 , , PUNCT fuelectenerg-3306 783 10 we we PRON fuelectenerg-3306 783 11 take take VERB fuelectenerg-3306 783 12 into into ADP fuelectenerg-3306 783 13 account account NOUN fuelectenerg-3306 783 14 both both PRON fuelectenerg-3306 783 15 , , PUNCT fuelectenerg-3306 783 16 the the DET fuelectenerg-3306 783 17 orders order NOUN fuelectenerg-3306 783 18 and and CCONJ fuelectenerg-3306 783 19 the the DET fuelectenerg-3306 783 20 number number NOUN fuelectenerg-3306 783 21 of of ADP fuelectenerg-3306 783 22 the the DET fuelectenerg-3306 783 23 coefficients coefficient NOUN fuelectenerg-3306 783 24 . . PUNCT fuelectenerg-3306 784 1 definition definition NOUN fuelectenerg-3306 784 2 7 7 NUM fuelectenerg-3306 784 3 a a DET fuelectenerg-3306 784 4 bent bent ADJ fuelectenerg-3306 784 5 function function NOUN fuelectenerg-3306 784 6 belongs belong VERB fuelectenerg-3306 784 7 to to ADP fuelectenerg-3306 784 8 the the DET fuelectenerg-3306 784 9 grid grid NOUN fuelectenerg-3306 784 10 ( ( PUNCT fuelectenerg-3306 784 11 k k PROPN fuelectenerg-3306 784 12 , , PUNCT fuelectenerg-3306 784 13 kmin kmin NOUN fuelectenerg-3306 784 14 , , PUNCT fuelectenerg-3306 784 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 784 16 g(k g(k PROPN fuelectenerg-3306 784 17 , , PUNCT fuelectenerg-3306 784 18 kmin kmin NOUN fuelectenerg-3306 784 19 , , PUNCT fuelectenerg-3306 784 20 kmax kmax PROPN fuelectenerg-3306 784 21 ) ) PUNCT fuelectenerg-3306 784 22 iff iff NOUN fuelectenerg-3306 784 23 it it PRON fuelectenerg-3306 784 24 has have VERB fuelectenerg-3306 784 25 k k PROPN fuelectenerg-3306 784 26 non non ADJ fuelectenerg-3306 784 27 - - ADJ fuelectenerg-3306 784 28 zero zero NUM fuelectenerg-3306 784 29 rm rm NOUN fuelectenerg-3306 784 30 - - PUNCT fuelectenerg-3306 784 31 coefficients coefficient NOUN fuelectenerg-3306 784 32 and and CCONJ fuelectenerg-3306 784 33 minimum minimum ADJ fuelectenerg-3306 784 34 order order NOUN fuelectenerg-3306 784 35 of of ADP fuelectenerg-3306 784 36 rm rm PROPN fuelectenerg-3306 784 37 coefficients coefficient NOUN fuelectenerg-3306 784 38 kmin kmin NOUN fuelectenerg-3306 784 39 and and CCONJ fuelectenerg-3306 784 40 maximum maximum ADJ fuelectenerg-3306 784 41 order order NOUN fuelectenerg-3306 784 42 kmax kmax NOUN fuelectenerg-3306 784 43 . . PUNCT fuelectenerg-3306 785 1 the the DET fuelectenerg-3306 785 2 g g PROPN fuelectenerg-3306 785 3 subsets subset NOUN fuelectenerg-3306 785 4 of of ADP fuelectenerg-3306 785 5 bent bent ADJ fuelectenerg-3306 785 6 functions function NOUN fuelectenerg-3306 785 7 are be AUX fuelectenerg-3306 785 8 the the DET fuelectenerg-3306 785 9 intersection intersection NOUN fuelectenerg-3306 785 10 of of ADP fuelectenerg-3306 785 11 v v NOUN fuelectenerg-3306 785 12 and and CCONJ fuelectenerg-3306 785 13 h h NOUN fuelectenerg-3306 785 14 subsets subset NOUN fuelectenerg-3306 785 15 . . PUNCT fuelectenerg-3306 786 1 number number NOUN fuelectenerg-3306 786 2 of of ADP fuelectenerg-3306 786 3 g g PROPN fuelectenerg-3306 786 4 subsets subset NOUN fuelectenerg-3306 786 5 also also ADV fuelectenerg-3306 786 6 depends depend VERB fuelectenerg-3306 786 7 of of ADP fuelectenerg-3306 786 8 the the DET fuelectenerg-3306 786 9 number number NOUN fuelectenerg-3306 786 10 of of ADP fuelectenerg-3306 786 11 variables variable NOUN fuelectenerg-3306 786 12 of of ADP fuelectenerg-3306 786 13 the the DET fuelectenerg-3306 786 14 bent bent ADJ fuelectenerg-3306 786 15 functions function NOUN fuelectenerg-3306 786 16 . . PUNCT fuelectenerg-3306 787 1 for for ADP fuelectenerg-3306 787 2 example example NOUN fuelectenerg-3306 787 3 , , PUNCT fuelectenerg-3306 787 4 there there PRON fuelectenerg-3306 787 5 are be VERB fuelectenerg-3306 787 6 many many ADJ fuelectenerg-3306 787 7 g g NOUN fuelectenerg-3306 787 8 subsets subset NOUN fuelectenerg-3306 787 9 for for ADP fuelectenerg-3306 787 10 bent bent ADJ fuelectenerg-3306 787 11 functions function NOUN fuelectenerg-3306 787 12 with with ADP fuelectenerg-3306 787 13 4 4 NUM fuelectenerg-3306 787 14 variables variable NOUN fuelectenerg-3306 787 15 : : PUNCT fuelectenerg-3306 787 16 v v X fuelectenerg-3306 787 17 ( ( PUNCT fuelectenerg-3306 787 18 1 1 NUM fuelectenerg-3306 787 19 , , PUNCT fuelectenerg-3306 787 20 0 0 NUM fuelectenerg-3306 787 21 , , PUNCT fuelectenerg-3306 787 22 0 0 NUM fuelectenerg-3306 787 23 ) ) PUNCT fuelectenerg-3306 787 24 , , PUNCT fuelectenerg-3306 787 25 h(1 h(1 PROPN fuelectenerg-3306 787 26 , , PUNCT fuelectenerg-3306 787 27 0 0 NUM fuelectenerg-3306 787 28 , , PUNCT fuelectenerg-3306 787 29 1 1 NUM fuelectenerg-3306 787 30 ) ) PUNCT fuelectenerg-3306 787 31 , , PUNCT fuelectenerg-3306 787 32 ... ... PUNCT fuelectenerg-3306 787 33 , , PUNCT fuelectenerg-3306 787 34 h(6 h(6 PROPN fuelectenerg-3306 787 35 , , PUNCT fuelectenerg-3306 787 36 2 2 NUM fuelectenerg-3306 787 37 , , PUNCT fuelectenerg-3306 787 38 2 2 NUM fuelectenerg-3306 787 39 ) ) PUNCT fuelectenerg-3306 787 40 . . PUNCT fuelectenerg-3306 788 1 there there PRON fuelectenerg-3306 788 2 are be VERB fuelectenerg-3306 788 3 also also ADV fuelectenerg-3306 788 4 many many ADJ fuelectenerg-3306 788 5 subsets subset NOUN fuelectenerg-3306 788 6 that that PRON fuelectenerg-3306 788 7 do do AUX fuelectenerg-3306 788 8 not not PART fuelectenerg-3306 788 9 contain contain VERB fuelectenerg-3306 788 10 any any PRON fuelectenerg-3306 788 11 of of ADP fuelectenerg-3306 788 12 the the DET fuelectenerg-3306 788 13 bent bent ADJ fuelectenerg-3306 788 14 functions function NOUN fuelectenerg-3306 788 15 . . PUNCT fuelectenerg-3306 789 1 example example NOUN fuelectenerg-3306 789 2 8 8 NUM fuelectenerg-3306 789 3 two two NUM fuelectenerg-3306 789 4 bent bent ADJ fuelectenerg-3306 789 5 functions function NOUN fuelectenerg-3306 789 6 of of ADP fuelectenerg-3306 789 7 4 4 NUM fuelectenerg-3306 789 8 variables variable NOUN fuelectenerg-3306 789 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 789 10 , , PUNCT fuelectenerg-3306 789 11 x2 x2 PROPN fuelectenerg-3306 789 12 , , PUNCT fuelectenerg-3306 789 13 x3 x3 ADJ fuelectenerg-3306 789 14 , , PUNCT fuelectenerg-3306 789 15 x4 x4 PROPN fuelectenerg-3306 789 16 ) ) PUNCT fuelectenerg-3306 789 17 = = SYM fuelectenerg-3306 790 1 x1x2 x1x2 PROPN fuelectenerg-3306 790 2 ⊕ ⊕ PROPN fuelectenerg-3306 790 3 x3x4 x3x4 ADP fuelectenerg-3306 790 4 , , PUNCT fuelectenerg-3306 790 5 and and CCONJ fuelectenerg-3306 790 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 790 7 , , PUNCT fuelectenerg-3306 790 8 x2 x2 PROPN fuelectenerg-3306 790 9 , , PUNCT fuelectenerg-3306 790 10 x3 x3 ADJ fuelectenerg-3306 790 11 , , PUNCT fuelectenerg-3306 790 12 x4 x4 PROPN fuelectenerg-3306 790 13 ) ) PUNCT fuelectenerg-3306 790 14 = = SYM fuelectenerg-3306 791 1 x1x3 x1x3 PROPN fuelectenerg-3306 791 2 ⊕ ⊕ PROPN fuelectenerg-3306 791 3 x2x4 x2x4 X fuelectenerg-3306 791 4 have have VERB fuelectenerg-3306 791 5 only only ADV fuelectenerg-3306 791 6 2 2 NUM fuelectenerg-3306 791 7 and and CCONJ fuelectenerg-3306 791 8 second second ADJ fuelectenerg-3306 791 9 order order NOUN fuelectenerg-3306 791 10 non non ADJ fuelectenerg-3306 791 11 - - ADJ fuelectenerg-3306 791 12 zero zero NUM fuelectenerg-3306 791 13 rm rm NOUN fuelectenerg-3306 791 14 - - PUNCT fuelectenerg-3306 791 15 coefficients coefficient NOUN fuelectenerg-3306 791 16 and and CCONJ fuelectenerg-3306 791 17 belong belong VERB fuelectenerg-3306 791 18 to to ADP fuelectenerg-3306 791 19 the the DET fuelectenerg-3306 791 20 same same ADJ fuelectenerg-3306 791 21 subset subset NOUN fuelectenerg-3306 791 22 g(2 g(2 PROPN fuelectenerg-3306 791 23 , , PUNCT fuelectenerg-3306 791 24 2 2 NUM fuelectenerg-3306 791 25 , , PUNCT fuelectenerg-3306 791 26 2 2 NUM fuelectenerg-3306 791 27 ) ) PUNCT fuelectenerg-3306 791 28 . . PUNCT fuelectenerg-3306 792 1 it it PRON fuelectenerg-3306 792 2 should should AUX fuelectenerg-3306 792 3 be be AUX fuelectenerg-3306 792 4 noticed notice VERB fuelectenerg-3306 792 5 that that SCONJ fuelectenerg-3306 792 6 there there PRON fuelectenerg-3306 792 7 are be VERB fuelectenerg-3306 792 8 bent bent ADJ fuelectenerg-3306 792 9 functions function NOUN fuelectenerg-3306 792 10 that that PRON fuelectenerg-3306 792 11 do do AUX fuelectenerg-3306 792 12 not not PART fuelectenerg-3306 792 13 belongs belong VERB fuelectenerg-3306 792 14 to to ADP fuelectenerg-3306 792 15 any any PRON fuelectenerg-3306 792 16 of of ADP fuelectenerg-3306 792 17 g g PROPN fuelectenerg-3306 792 18 subsets subset NOUN fuelectenerg-3306 792 19 . . PUNCT fuelectenerg-3306 793 1 4 4 NUM fuelectenerg-3306 793 2 experimental experimental ADJ fuelectenerg-3306 793 3 results result NOUN fuelectenerg-3306 793 4 in in ADP fuelectenerg-3306 793 5 this this DET fuelectenerg-3306 793 6 section section NOUN fuelectenerg-3306 793 7 , , PUNCT fuelectenerg-3306 793 8 we we PRON fuelectenerg-3306 793 9 made make VERB fuelectenerg-3306 793 10 enumeration enumeration NOUN fuelectenerg-3306 793 11 of of ADP fuelectenerg-3306 793 12 bent bent ADJ fuelectenerg-3306 793 13 functions function NOUN fuelectenerg-3306 793 14 in in ADP fuelectenerg-3306 793 15 some some DET fuelectenerg-3306 793 16 vertical vertical ADJ fuelectenerg-3306 793 17 , , PUNCT fuelectenerg-3306 793 18 horizontal horizontal ADJ fuelectenerg-3306 793 19 and and CCONJ fuelectenerg-3306 793 20 grid grid NOUN fuelectenerg-3306 793 21 subsets subset NOUN fuelectenerg-3306 793 22 for for ADP fuelectenerg-3306 793 23 functions function NOUN fuelectenerg-3306 793 24 with with ADP fuelectenerg-3306 793 25 4 4 NUM fuelectenerg-3306 793 26 , , PUNCT fuelectenerg-3306 793 27 6 6 NUM fuelectenerg-3306 793 28 , , PUNCT fuelectenerg-3306 793 29 and and CCONJ fuelectenerg-3306 793 30 8 8 NUM fuelectenerg-3306 793 31 variables variable NOUN fuelectenerg-3306 793 32 . . PUNCT fuelectenerg-3306 794 1 there there PRON fuelectenerg-3306 794 2 are be VERB fuelectenerg-3306 794 3 two two NUM fuelectenerg-3306 794 4 types type NOUN fuelectenerg-3306 794 5 of of ADP fuelectenerg-3306 794 6 methods method NOUN fuelectenerg-3306 794 7 for for ADP fuelectenerg-3306 794 8 enumerations enumeration NOUN fuelectenerg-3306 794 9 of of ADP fuelectenerg-3306 794 10 bent bent ADJ fuelectenerg-3306 794 11 functions function NOUN fuelectenerg-3306 794 12 , , PUNCT fuelectenerg-3306 794 13 primary primary ADJ fuelectenerg-3306 794 14 and and CCONJ fuelectenerg-3306 794 15 secondary secondary ADJ fuelectenerg-3306 794 16 . . PUNCT fuelectenerg-3306 795 1 the the DET fuelectenerg-3306 795 2 primary primary ADJ fuelectenerg-3306 795 3 methods method NOUN fuelectenerg-3306 795 4 are be AUX fuelectenerg-3306 795 5 based base VERB fuelectenerg-3306 795 6 on on ADP fuelectenerg-3306 795 7 the the DET fuelectenerg-3306 795 8 direct direct ADJ fuelectenerg-3306 795 9 enumeration enumeration NOUN fuelectenerg-3306 795 10 in in ADP fuelectenerg-3306 795 11 the the DET fuelectenerg-3306 795 12 boolean boolean ADJ fuelectenerg-3306 795 13 domain domain NOUN fuelectenerg-3306 795 14 . . PUNCT fuelectenerg-3306 796 1 the the DET fuelectenerg-3306 796 2 secondary secondary ADJ fuelectenerg-3306 796 3 methods method NOUN fuelectenerg-3306 796 4 are be AUX fuelectenerg-3306 796 5 based base VERB fuelectenerg-3306 796 6 on on ADP fuelectenerg-3306 796 7 construction construction NOUN fuelectenerg-3306 796 8 of of ADP fuelectenerg-3306 796 9 subsets subset NOUN fuelectenerg-3306 796 10 of of ADP fuelectenerg-3306 796 11 bent bent ADJ fuelectenerg-3306 796 12 functions function NOUN fuelectenerg-3306 796 13 satisfying satisfy VERB fuelectenerg-3306 796 14 restrictions restriction NOUN fuelectenerg-3306 796 15 ... ... PUNCT fuelectenerg-3306 796 16 9 9 NUM fuelectenerg-3306 796 17 h(1 h(1 NOUN fuelectenerg-3306 796 18 , , PUNCT fuelectenerg-3306 796 19 2 2 NUM fuelectenerg-3306 796 20 ) ) PUNCT fuelectenerg-3306 796 21 , , PUNCT fuelectenerg-3306 796 22 and and CCONJ fuelectenerg-3306 796 23 h(2 h(2 NOUN fuelectenerg-3306 796 24 , , PUNCT fuelectenerg-3306 796 25 2 2 NUM fuelectenerg-3306 796 26 ) ) PUNCT fuelectenerg-3306 796 27 . . PUNCT fuelectenerg-3306 797 1 there there PRON fuelectenerg-3306 797 2 are be VERB fuelectenerg-3306 797 3 h h PROPN fuelectenerg-3306 797 4 subsets subset NOUN fuelectenerg-3306 797 5 h(0 h(0 PROPN fuelectenerg-3306 797 6 , , PUNCT fuelectenerg-3306 797 7 0 0 NUM fuelectenerg-3306 797 8 ) ) PUNCT fuelectenerg-3306 797 9 , , PUNCT fuelectenerg-3306 797 10 h(0 h(0 PROPN fuelectenerg-3306 797 11 , , PUNCT fuelectenerg-3306 797 12 1 1 NUM fuelectenerg-3306 797 13 ) ) PUNCT fuelectenerg-3306 797 14 , , PUNCT fuelectenerg-3306 797 15 and and CCONJ fuelectenerg-3306 797 16 h(1 h(1 PROPN fuelectenerg-3306 797 17 , , PUNCT fuelectenerg-3306 797 18 1 1 NUM fuelectenerg-3306 797 19 ) ) PUNCT fuelectenerg-3306 797 20 , , PUNCT fuelectenerg-3306 797 21 that that PRON fuelectenerg-3306 797 22 do do AUX fuelectenerg-3306 797 23 not not PART fuelectenerg-3306 797 24 contain contain VERB fuelectenerg-3306 797 25 any any PRON fuelectenerg-3306 797 26 of of ADP fuelectenerg-3306 797 27 the the DET fuelectenerg-3306 797 28 bent bent ADJ fuelectenerg-3306 797 29 functions function NOUN fuelectenerg-3306 797 30 . . PUNCT fuelectenerg-3306 798 1 example example NOUN fuelectenerg-3306 798 2 6 6 NUM fuelectenerg-3306 798 3 for for ADP fuelectenerg-3306 798 4 bent bent ADJ fuelectenerg-3306 798 5 functions function NOUN fuelectenerg-3306 798 6 with with ADP fuelectenerg-3306 798 7 6 6 NUM fuelectenerg-3306 798 8 variables variable NOUN fuelectenerg-3306 798 9 , , PUNCT fuelectenerg-3306 798 10 there there PRON fuelectenerg-3306 798 11 are be VERB fuelectenerg-3306 798 12 10 10 NUM fuelectenerg-3306 798 13 possible possible ADJ fuelectenerg-3306 798 14 h h NOUN fuelectenerg-3306 798 15 subsets subset NOUN fuelectenerg-3306 798 16 : : PUNCT fuelectenerg-3306 799 1 h(0 h(0 NOUN fuelectenerg-3306 799 2 , , PUNCT fuelectenerg-3306 799 3 0 0 NUM fuelectenerg-3306 799 4 ) ) PUNCT fuelectenerg-3306 799 5 , , PUNCT fuelectenerg-3306 799 6 h(0 h(0 PROPN fuelectenerg-3306 799 7 , , PUNCT fuelectenerg-3306 799 8 1 1 NUM fuelectenerg-3306 799 9 ) ) PUNCT fuelectenerg-3306 799 10 , , PUNCT fuelectenerg-3306 799 11 h(0 h(0 PROPN fuelectenerg-3306 799 12 , , PUNCT fuelectenerg-3306 799 13 2 2 NUM fuelectenerg-3306 799 14 ) ) PUNCT fuelectenerg-3306 799 15 , , PUNCT fuelectenerg-3306 799 16 h(0 h(0 PROPN fuelectenerg-3306 799 17 , , PUNCT fuelectenerg-3306 799 18 3 3 NUM fuelectenerg-3306 799 19 ) ) PUNCT fuelectenerg-3306 799 20 , , PUNCT fuelectenerg-3306 799 21 h(1 h(1 PROPN fuelectenerg-3306 799 22 , , PUNCT fuelectenerg-3306 799 23 1 1 NUM fuelectenerg-3306 799 24 ) ) PUNCT fuelectenerg-3306 799 25 , , PUNCT fuelectenerg-3306 799 26 h(1 h(1 PROPN fuelectenerg-3306 799 27 , , PUNCT fuelectenerg-3306 799 28 2 2 NUM fuelectenerg-3306 799 29 ) ) PUNCT fuelectenerg-3306 799 30 , , PUNCT fuelectenerg-3306 799 31 h(1 h(1 PROPN fuelectenerg-3306 799 32 , , PUNCT fuelectenerg-3306 799 33 3 3 NUM fuelectenerg-3306 799 34 ) ) PUNCT fuelectenerg-3306 799 35 , , PUNCT fuelectenerg-3306 799 36 h(2 h(2 NOUN fuelectenerg-3306 799 37 , , PUNCT fuelectenerg-3306 799 38 2 2 NUM fuelectenerg-3306 799 39 ) ) PUNCT fuelectenerg-3306 799 40 , , PUNCT fuelectenerg-3306 799 41 h(2 h(2 NOUN fuelectenerg-3306 799 42 , , PUNCT fuelectenerg-3306 799 43 3 3 NUM fuelectenerg-3306 799 44 ) ) PUNCT fuelectenerg-3306 799 45 , , PUNCT fuelectenerg-3306 799 46 and and CCONJ fuelectenerg-3306 799 47 h(3 h(3 PROPN fuelectenerg-3306 799 48 , , PUNCT fuelectenerg-3306 799 49 3 3 NUM fuelectenerg-3306 799 50 ) ) PUNCT fuelectenerg-3306 799 51 . . PUNCT fuelectenerg-3306 800 1 some some PRON fuelectenerg-3306 800 2 of of ADP fuelectenerg-3306 800 3 subsets subset NOUN fuelectenerg-3306 800 4 also also ADV fuelectenerg-3306 800 5 do do AUX fuelectenerg-3306 800 6 not not PART fuelectenerg-3306 800 7 contain contain VERB fuelectenerg-3306 800 8 any any PRON fuelectenerg-3306 800 9 of of ADP fuelectenerg-3306 800 10 the the DET fuelectenerg-3306 800 11 bent bent ADJ fuelectenerg-3306 800 12 functions function NOUN fuelectenerg-3306 800 13 . . PUNCT fuelectenerg-3306 801 1 example example NOUN fuelectenerg-3306 801 2 7 7 NUM fuelectenerg-3306 801 3 two two NUM fuelectenerg-3306 801 4 bent bent ADJ fuelectenerg-3306 801 5 functions function NOUN fuelectenerg-3306 801 6 of of ADP fuelectenerg-3306 801 7 4 4 NUM fuelectenerg-3306 801 8 variables variable NOUN fuelectenerg-3306 801 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 801 10 , , PUNCT fuelectenerg-3306 801 11 x2 x2 PROPN fuelectenerg-3306 801 12 , , PUNCT fuelectenerg-3306 801 13 x3 x3 ADJ fuelectenerg-3306 801 14 , , PUNCT fuelectenerg-3306 801 15 x4 x4 PROPN fuelectenerg-3306 801 16 ) ) PUNCT fuelectenerg-3306 801 17 = = PUNCT fuelectenerg-3306 802 1 x1x2 x1x2 PROPN fuelectenerg-3306 802 2 ⊕ ⊕ PROPN fuelectenerg-3306 802 3 x2x4 x2x4 PUNCT fuelectenerg-3306 802 4 ⊕ ⊕ PROPN fuelectenerg-3306 802 5 x3x4 x3x4 ADP fuelectenerg-3306 802 6 , , PUNCT fuelectenerg-3306 802 7 and and CCONJ fuelectenerg-3306 802 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 802 9 , , PUNCT fuelectenerg-3306 802 10 x2 x2 PROPN fuelectenerg-3306 802 11 , , PUNCT fuelectenerg-3306 802 12 x3 x3 ADJ fuelectenerg-3306 802 13 , , PUNCT fuelectenerg-3306 802 14 x4 x4 PROPN fuelectenerg-3306 802 15 ) ) PUNCT fuelectenerg-3306 802 16 = = SYM fuelectenerg-3306 803 1 x1x3 x1x3 PROPN fuelectenerg-3306 803 2 ⊕ ⊕ PROPN fuelectenerg-3306 803 3 x2x4 x2x4 X fuelectenerg-3306 803 4 have have VERB fuelectenerg-3306 803 5 only only ADV fuelectenerg-3306 803 6 second second ADJ fuelectenerg-3306 803 7 order order NOUN fuelectenerg-3306 803 8 non non ADJ fuelectenerg-3306 803 9 - - ADJ fuelectenerg-3306 803 10 zero zero NUM fuelectenerg-3306 803 11 rm rm NOUN fuelectenerg-3306 803 12 - - PUNCT fuelectenerg-3306 803 13 coefficients coefficient NOUN fuelectenerg-3306 803 14 and and CCONJ fuelectenerg-3306 803 15 belong belong VERB fuelectenerg-3306 803 16 to to ADP fuelectenerg-3306 803 17 the the DET fuelectenerg-3306 803 18 same same ADJ fuelectenerg-3306 803 19 subset subset NOUN fuelectenerg-3306 803 20 h(2 h(2 NOUN fuelectenerg-3306 803 21 , , PUNCT fuelectenerg-3306 803 22 2 2 NUM fuelectenerg-3306 803 23 ) ) PUNCT fuelectenerg-3306 803 24 . . PUNCT fuelectenerg-3306 804 1 3.3 3.3 NUM fuelectenerg-3306 804 2 grid grid NOUN fuelectenerg-3306 804 3 subset subset NOUN fuelectenerg-3306 804 4 in in ADP fuelectenerg-3306 804 5 definition definition NOUN fuelectenerg-3306 804 6 of of ADP fuelectenerg-3306 804 7 this this DET fuelectenerg-3306 804 8 subset subset NOUN fuelectenerg-3306 804 9 , , PUNCT fuelectenerg-3306 804 10 we we PRON fuelectenerg-3306 804 11 take take VERB fuelectenerg-3306 804 12 into into ADP fuelectenerg-3306 804 13 account account NOUN fuelectenerg-3306 804 14 both both PRON fuelectenerg-3306 804 15 , , PUNCT fuelectenerg-3306 804 16 the the DET fuelectenerg-3306 804 17 orders order NOUN fuelectenerg-3306 804 18 and and CCONJ fuelectenerg-3306 804 19 the the DET fuelectenerg-3306 804 20 number number NOUN fuelectenerg-3306 804 21 of of ADP fuelectenerg-3306 804 22 the the DET fuelectenerg-3306 804 23 coefficients coefficient NOUN fuelectenerg-3306 804 24 . . PUNCT fuelectenerg-3306 805 1 definition definition NOUN fuelectenerg-3306 805 2 7 7 NUM fuelectenerg-3306 805 3 a a DET fuelectenerg-3306 805 4 bent bent ADJ fuelectenerg-3306 805 5 function function NOUN fuelectenerg-3306 805 6 belongs belong VERB fuelectenerg-3306 805 7 to to ADP fuelectenerg-3306 805 8 the the DET fuelectenerg-3306 805 9 grid grid NOUN fuelectenerg-3306 805 10 ( ( PUNCT fuelectenerg-3306 805 11 k k PROPN fuelectenerg-3306 805 12 , , PUNCT fuelectenerg-3306 805 13 kmin kmin NOUN fuelectenerg-3306 805 14 , , PUNCT fuelectenerg-3306 805 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 805 16 g(k g(k PROPN fuelectenerg-3306 805 17 , , PUNCT fuelectenerg-3306 805 18 kmin kmin NOUN fuelectenerg-3306 805 19 , , PUNCT fuelectenerg-3306 805 20 kmax kmax PROPN fuelectenerg-3306 805 21 ) ) PUNCT fuelectenerg-3306 805 22 iff iff NOUN fuelectenerg-3306 805 23 it it PRON fuelectenerg-3306 805 24 has have VERB fuelectenerg-3306 805 25 k k PROPN fuelectenerg-3306 805 26 non non ADJ fuelectenerg-3306 805 27 - - ADJ fuelectenerg-3306 805 28 zero zero NUM fuelectenerg-3306 805 29 rm rm NOUN fuelectenerg-3306 805 30 - - PUNCT fuelectenerg-3306 805 31 coefficients coefficient NOUN fuelectenerg-3306 805 32 and and CCONJ fuelectenerg-3306 805 33 minimum minimum ADJ fuelectenerg-3306 805 34 order order NOUN fuelectenerg-3306 805 35 of of ADP fuelectenerg-3306 805 36 rm rm PROPN fuelectenerg-3306 805 37 coefficients coefficient NOUN fuelectenerg-3306 805 38 kmin kmin NOUN fuelectenerg-3306 805 39 and and CCONJ fuelectenerg-3306 805 40 maximum maximum ADJ fuelectenerg-3306 805 41 order order NOUN fuelectenerg-3306 805 42 kmax kmax NOUN fuelectenerg-3306 805 43 . . PUNCT fuelectenerg-3306 806 1 the the DET fuelectenerg-3306 806 2 g g PROPN fuelectenerg-3306 806 3 subsets subset NOUN fuelectenerg-3306 806 4 of of ADP fuelectenerg-3306 806 5 bent bent ADJ fuelectenerg-3306 806 6 functions function NOUN fuelectenerg-3306 806 7 are be AUX fuelectenerg-3306 806 8 the the DET fuelectenerg-3306 806 9 intersection intersection NOUN fuelectenerg-3306 806 10 of of ADP fuelectenerg-3306 806 11 v v NOUN fuelectenerg-3306 806 12 and and CCONJ fuelectenerg-3306 806 13 h h NOUN fuelectenerg-3306 806 14 subsets subset NOUN fuelectenerg-3306 806 15 . . PUNCT fuelectenerg-3306 807 1 number number NOUN fuelectenerg-3306 807 2 of of ADP fuelectenerg-3306 807 3 g g PROPN fuelectenerg-3306 807 4 subsets subset NOUN fuelectenerg-3306 807 5 also also ADV fuelectenerg-3306 807 6 depends depend VERB fuelectenerg-3306 807 7 of of ADP fuelectenerg-3306 807 8 the the DET fuelectenerg-3306 807 9 number number NOUN fuelectenerg-3306 807 10 of of ADP fuelectenerg-3306 807 11 variables variable NOUN fuelectenerg-3306 807 12 of of ADP fuelectenerg-3306 807 13 the the DET fuelectenerg-3306 807 14 bent bent ADJ fuelectenerg-3306 807 15 functions function NOUN fuelectenerg-3306 807 16 . . PUNCT fuelectenerg-3306 808 1 for for ADP fuelectenerg-3306 808 2 example example NOUN fuelectenerg-3306 808 3 , , PUNCT fuelectenerg-3306 808 4 there there PRON fuelectenerg-3306 808 5 are be VERB fuelectenerg-3306 808 6 many many ADJ fuelectenerg-3306 808 7 g g NOUN fuelectenerg-3306 808 8 subsets subset NOUN fuelectenerg-3306 808 9 for for ADP fuelectenerg-3306 808 10 bent bent ADJ fuelectenerg-3306 808 11 functions function NOUN fuelectenerg-3306 808 12 with with ADP fuelectenerg-3306 808 13 4 4 NUM fuelectenerg-3306 808 14 variables variable NOUN fuelectenerg-3306 808 15 : : PUNCT fuelectenerg-3306 808 16 v v X fuelectenerg-3306 808 17 ( ( PUNCT fuelectenerg-3306 808 18 1 1 NUM fuelectenerg-3306 808 19 , , PUNCT fuelectenerg-3306 808 20 0 0 NUM fuelectenerg-3306 808 21 , , PUNCT fuelectenerg-3306 808 22 0 0 NUM fuelectenerg-3306 808 23 ) ) PUNCT fuelectenerg-3306 808 24 , , PUNCT fuelectenerg-3306 808 25 h(1 h(1 PROPN fuelectenerg-3306 808 26 , , PUNCT fuelectenerg-3306 808 27 0 0 NUM fuelectenerg-3306 808 28 , , PUNCT fuelectenerg-3306 808 29 1 1 NUM fuelectenerg-3306 808 30 ) ) PUNCT fuelectenerg-3306 808 31 , , PUNCT fuelectenerg-3306 808 32 ... ... PUNCT fuelectenerg-3306 808 33 , , PUNCT fuelectenerg-3306 808 34 h(6 h(6 PROPN fuelectenerg-3306 808 35 , , PUNCT fuelectenerg-3306 808 36 2 2 NUM fuelectenerg-3306 808 37 , , PUNCT fuelectenerg-3306 808 38 2 2 NUM fuelectenerg-3306 808 39 ) ) PUNCT fuelectenerg-3306 808 40 . . PUNCT fuelectenerg-3306 809 1 there there PRON fuelectenerg-3306 809 2 are be VERB fuelectenerg-3306 809 3 also also ADV fuelectenerg-3306 809 4 many many ADJ fuelectenerg-3306 809 5 subsets subset NOUN fuelectenerg-3306 809 6 that that PRON fuelectenerg-3306 809 7 do do AUX fuelectenerg-3306 809 8 not not PART fuelectenerg-3306 809 9 contain contain VERB fuelectenerg-3306 809 10 any any PRON fuelectenerg-3306 809 11 of of ADP fuelectenerg-3306 809 12 the the DET fuelectenerg-3306 809 13 bent bent ADJ fuelectenerg-3306 809 14 functions function NOUN fuelectenerg-3306 809 15 . . PUNCT fuelectenerg-3306 810 1 example example NOUN fuelectenerg-3306 810 2 8 8 NUM fuelectenerg-3306 810 3 two two NUM fuelectenerg-3306 810 4 bent bent ADJ fuelectenerg-3306 810 5 functions function NOUN fuelectenerg-3306 810 6 of of ADP fuelectenerg-3306 810 7 4 4 NUM fuelectenerg-3306 810 8 variables variable NOUN fuelectenerg-3306 810 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 810 10 , , PUNCT fuelectenerg-3306 810 11 x2 x2 PROPN fuelectenerg-3306 810 12 , , PUNCT fuelectenerg-3306 810 13 x3 x3 ADJ fuelectenerg-3306 810 14 , , PUNCT fuelectenerg-3306 810 15 x4 x4 PROPN fuelectenerg-3306 810 16 ) ) PUNCT fuelectenerg-3306 810 17 = = SYM fuelectenerg-3306 811 1 x1x2 x1x2 PROPN fuelectenerg-3306 811 2 ⊕ ⊕ PROPN fuelectenerg-3306 811 3 x3x4 x3x4 ADP fuelectenerg-3306 811 4 , , PUNCT fuelectenerg-3306 811 5 and and CCONJ fuelectenerg-3306 811 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 811 7 , , PUNCT fuelectenerg-3306 811 8 x2 x2 PROPN fuelectenerg-3306 811 9 , , PUNCT fuelectenerg-3306 811 10 x3 x3 ADJ fuelectenerg-3306 811 11 , , PUNCT fuelectenerg-3306 811 12 x4 x4 PROPN fuelectenerg-3306 811 13 ) ) PUNCT fuelectenerg-3306 811 14 = = SYM fuelectenerg-3306 812 1 x1x3 x1x3 PROPN fuelectenerg-3306 812 2 ⊕ ⊕ PROPN fuelectenerg-3306 812 3 x2x4 x2x4 X fuelectenerg-3306 812 4 have have VERB fuelectenerg-3306 812 5 only only ADV fuelectenerg-3306 812 6 2 2 NUM fuelectenerg-3306 812 7 and and CCONJ fuelectenerg-3306 812 8 second second ADJ fuelectenerg-3306 812 9 order order NOUN fuelectenerg-3306 812 10 non non ADJ fuelectenerg-3306 812 11 - - ADJ fuelectenerg-3306 812 12 zero zero NUM fuelectenerg-3306 812 13 rm rm NOUN fuelectenerg-3306 812 14 - - PUNCT fuelectenerg-3306 812 15 coefficients coefficient NOUN fuelectenerg-3306 812 16 and and CCONJ fuelectenerg-3306 812 17 belong belong VERB fuelectenerg-3306 812 18 to to ADP fuelectenerg-3306 812 19 the the DET fuelectenerg-3306 812 20 same same ADJ fuelectenerg-3306 812 21 subset subset NOUN fuelectenerg-3306 812 22 g(2 g(2 PROPN fuelectenerg-3306 812 23 , , PUNCT fuelectenerg-3306 812 24 2 2 NUM fuelectenerg-3306 812 25 , , PUNCT fuelectenerg-3306 812 26 2 2 NUM fuelectenerg-3306 812 27 ) ) PUNCT fuelectenerg-3306 812 28 . . PUNCT fuelectenerg-3306 813 1 it it PRON fuelectenerg-3306 813 2 should should AUX fuelectenerg-3306 813 3 be be AUX fuelectenerg-3306 813 4 noticed notice VERB fuelectenerg-3306 813 5 that that SCONJ fuelectenerg-3306 813 6 there there PRON fuelectenerg-3306 813 7 are be VERB fuelectenerg-3306 813 8 bent bent ADJ fuelectenerg-3306 813 9 functions function NOUN fuelectenerg-3306 813 10 that that PRON fuelectenerg-3306 813 11 do do AUX fuelectenerg-3306 813 12 not not PART fuelectenerg-3306 813 13 belongs belong VERB fuelectenerg-3306 813 14 to to ADP fuelectenerg-3306 813 15 any any PRON fuelectenerg-3306 813 16 of of ADP fuelectenerg-3306 813 17 g g PROPN fuelectenerg-3306 813 18 subsets subset NOUN fuelectenerg-3306 813 19 . . PUNCT fuelectenerg-3306 814 1 4 4 NUM fuelectenerg-3306 814 2 experimental experimental ADJ fuelectenerg-3306 814 3 results result NOUN fuelectenerg-3306 814 4 in in ADP fuelectenerg-3306 814 5 this this DET fuelectenerg-3306 814 6 section section NOUN fuelectenerg-3306 814 7 , , PUNCT fuelectenerg-3306 814 8 we we PRON fuelectenerg-3306 814 9 made make VERB fuelectenerg-3306 814 10 enumeration enumeration NOUN fuelectenerg-3306 814 11 of of ADP fuelectenerg-3306 814 12 bent bent ADJ fuelectenerg-3306 814 13 functions function NOUN fuelectenerg-3306 814 14 in in ADP fuelectenerg-3306 814 15 some some DET fuelectenerg-3306 814 16 vertical vertical ADJ fuelectenerg-3306 814 17 , , PUNCT fuelectenerg-3306 814 18 horizontal horizontal ADJ fuelectenerg-3306 814 19 and and CCONJ fuelectenerg-3306 814 20 grid grid NOUN fuelectenerg-3306 814 21 subsets subset NOUN fuelectenerg-3306 814 22 for for ADP fuelectenerg-3306 814 23 functions function NOUN fuelectenerg-3306 814 24 with with ADP fuelectenerg-3306 814 25 4 4 NUM fuelectenerg-3306 814 26 , , PUNCT fuelectenerg-3306 814 27 6 6 NUM fuelectenerg-3306 814 28 , , PUNCT fuelectenerg-3306 814 29 and and CCONJ fuelectenerg-3306 814 30 8 8 NUM fuelectenerg-3306 814 31 variables variable NOUN fuelectenerg-3306 814 32 . . PUNCT fuelectenerg-3306 815 1 there there PRON fuelectenerg-3306 815 2 are be VERB fuelectenerg-3306 815 3 two two NUM fuelectenerg-3306 815 4 types type NOUN fuelectenerg-3306 815 5 of of ADP fuelectenerg-3306 815 6 methods method NOUN fuelectenerg-3306 815 7 for for ADP fuelectenerg-3306 815 8 enumerations enumeration NOUN fuelectenerg-3306 815 9 of of ADP fuelectenerg-3306 815 10 bent bent ADJ fuelectenerg-3306 815 11 functions function NOUN fuelectenerg-3306 815 12 , , PUNCT fuelectenerg-3306 815 13 primary primary ADJ fuelectenerg-3306 815 14 and and CCONJ fuelectenerg-3306 815 15 secondary secondary ADJ fuelectenerg-3306 815 16 . . PUNCT fuelectenerg-3306 816 1 the the DET fuelectenerg-3306 816 2 primary primary ADJ fuelectenerg-3306 816 3 methods method NOUN fuelectenerg-3306 816 4 are be AUX fuelectenerg-3306 816 5 based base VERB fuelectenerg-3306 816 6 on on ADP fuelectenerg-3306 816 7 the the DET fuelectenerg-3306 816 8 direct direct ADJ fuelectenerg-3306 816 9 enumeration enumeration NOUN fuelectenerg-3306 816 10 in in ADP fuelectenerg-3306 816 11 the the DET fuelectenerg-3306 816 12 boolean boolean ADJ fuelectenerg-3306 816 13 domain domain NOUN fuelectenerg-3306 816 14 . . PUNCT fuelectenerg-3306 817 1 the the DET fuelectenerg-3306 817 2 secondary secondary ADJ fuelectenerg-3306 817 3 methods method NOUN fuelectenerg-3306 817 4 are be AUX fuelectenerg-3306 817 5 based base VERB fuelectenerg-3306 817 6 on on ADP fuelectenerg-3306 817 7 construction construction NOUN fuelectenerg-3306 817 8 of of ADP fuelectenerg-3306 817 9 subsets subset NOUN fuelectenerg-3306 817 10 of of ADP fuelectenerg-3306 817 11 bent bent ADJ fuelectenerg-3306 817 12 functions function NOUN fuelectenerg-3306 817 13 satisfying satisfy VERB fuelectenerg-3306 817 14 restrictions restriction NOUN fuelectenerg-3306 817 15 ... ... PUNCT fuelectenerg-3306 817 16 9 9 NUM fuelectenerg-3306 817 17 h(1 h(1 NOUN fuelectenerg-3306 817 18 , , PUNCT fuelectenerg-3306 817 19 2 2 NUM fuelectenerg-3306 817 20 ) ) PUNCT fuelectenerg-3306 817 21 , , PUNCT fuelectenerg-3306 817 22 and and CCONJ fuelectenerg-3306 817 23 h(2 h(2 NOUN fuelectenerg-3306 817 24 , , PUNCT fuelectenerg-3306 817 25 2 2 NUM fuelectenerg-3306 817 26 ) ) PUNCT fuelectenerg-3306 817 27 . . PUNCT fuelectenerg-3306 818 1 there there PRON fuelectenerg-3306 818 2 are be VERB fuelectenerg-3306 818 3 h h PROPN fuelectenerg-3306 818 4 subsets subset NOUN fuelectenerg-3306 818 5 h(0 h(0 PROPN fuelectenerg-3306 818 6 , , PUNCT fuelectenerg-3306 818 7 0 0 NUM fuelectenerg-3306 818 8 ) ) PUNCT fuelectenerg-3306 818 9 , , PUNCT fuelectenerg-3306 818 10 h(0 h(0 PROPN fuelectenerg-3306 818 11 , , PUNCT fuelectenerg-3306 818 12 1 1 NUM fuelectenerg-3306 818 13 ) ) PUNCT fuelectenerg-3306 818 14 , , PUNCT fuelectenerg-3306 818 15 and and CCONJ fuelectenerg-3306 818 16 h(1 h(1 PROPN fuelectenerg-3306 818 17 , , PUNCT fuelectenerg-3306 818 18 1 1 NUM fuelectenerg-3306 818 19 ) ) PUNCT fuelectenerg-3306 818 20 , , PUNCT fuelectenerg-3306 818 21 that that PRON fuelectenerg-3306 818 22 do do AUX fuelectenerg-3306 818 23 not not PART fuelectenerg-3306 818 24 contain contain VERB fuelectenerg-3306 818 25 any any PRON fuelectenerg-3306 818 26 of of ADP fuelectenerg-3306 818 27 the the DET fuelectenerg-3306 818 28 bent bent ADJ fuelectenerg-3306 818 29 functions function NOUN fuelectenerg-3306 818 30 . . PUNCT fuelectenerg-3306 819 1 example example NOUN fuelectenerg-3306 819 2 6 6 NUM fuelectenerg-3306 819 3 for for ADP fuelectenerg-3306 819 4 bent bent ADJ fuelectenerg-3306 819 5 functions function NOUN fuelectenerg-3306 819 6 with with ADP fuelectenerg-3306 819 7 6 6 NUM fuelectenerg-3306 819 8 variables variable NOUN fuelectenerg-3306 819 9 , , PUNCT fuelectenerg-3306 819 10 there there PRON fuelectenerg-3306 819 11 are be VERB fuelectenerg-3306 819 12 10 10 NUM fuelectenerg-3306 819 13 possible possible ADJ fuelectenerg-3306 819 14 h h NOUN fuelectenerg-3306 819 15 subsets subset NOUN fuelectenerg-3306 819 16 : : PUNCT fuelectenerg-3306 820 1 h(0 h(0 NOUN fuelectenerg-3306 820 2 , , PUNCT fuelectenerg-3306 820 3 0 0 NUM fuelectenerg-3306 820 4 ) ) PUNCT fuelectenerg-3306 820 5 , , PUNCT fuelectenerg-3306 820 6 h(0 h(0 PROPN fuelectenerg-3306 820 7 , , PUNCT fuelectenerg-3306 820 8 1 1 NUM fuelectenerg-3306 820 9 ) ) PUNCT fuelectenerg-3306 820 10 , , PUNCT fuelectenerg-3306 820 11 h(0 h(0 PROPN fuelectenerg-3306 820 12 , , PUNCT fuelectenerg-3306 820 13 2 2 NUM fuelectenerg-3306 820 14 ) ) PUNCT fuelectenerg-3306 820 15 , , PUNCT fuelectenerg-3306 820 16 h(0 h(0 PROPN fuelectenerg-3306 820 17 , , PUNCT fuelectenerg-3306 820 18 3 3 NUM fuelectenerg-3306 820 19 ) ) PUNCT fuelectenerg-3306 820 20 , , PUNCT fuelectenerg-3306 820 21 h(1 h(1 PROPN fuelectenerg-3306 820 22 , , PUNCT fuelectenerg-3306 820 23 1 1 NUM fuelectenerg-3306 820 24 ) ) PUNCT fuelectenerg-3306 820 25 , , PUNCT fuelectenerg-3306 820 26 h(1 h(1 PROPN fuelectenerg-3306 820 27 , , PUNCT fuelectenerg-3306 820 28 2 2 NUM fuelectenerg-3306 820 29 ) ) PUNCT fuelectenerg-3306 820 30 , , PUNCT fuelectenerg-3306 820 31 h(1 h(1 PROPN fuelectenerg-3306 820 32 , , PUNCT fuelectenerg-3306 820 33 3 3 NUM fuelectenerg-3306 820 34 ) ) PUNCT fuelectenerg-3306 820 35 , , PUNCT fuelectenerg-3306 820 36 h(2 h(2 NOUN fuelectenerg-3306 820 37 , , PUNCT fuelectenerg-3306 820 38 2 2 NUM fuelectenerg-3306 820 39 ) ) PUNCT fuelectenerg-3306 820 40 , , PUNCT fuelectenerg-3306 820 41 h(2 h(2 NOUN fuelectenerg-3306 820 42 , , PUNCT fuelectenerg-3306 820 43 3 3 NUM fuelectenerg-3306 820 44 ) ) PUNCT fuelectenerg-3306 820 45 , , PUNCT fuelectenerg-3306 820 46 and and CCONJ fuelectenerg-3306 820 47 h(3 h(3 PROPN fuelectenerg-3306 820 48 , , PUNCT fuelectenerg-3306 820 49 3 3 NUM fuelectenerg-3306 820 50 ) ) PUNCT fuelectenerg-3306 820 51 . . PUNCT fuelectenerg-3306 821 1 some some PRON fuelectenerg-3306 821 2 of of ADP fuelectenerg-3306 821 3 subsets subset NOUN fuelectenerg-3306 821 4 also also ADV fuelectenerg-3306 821 5 do do AUX fuelectenerg-3306 821 6 not not PART fuelectenerg-3306 821 7 contain contain VERB fuelectenerg-3306 821 8 any any PRON fuelectenerg-3306 821 9 of of ADP fuelectenerg-3306 821 10 the the DET fuelectenerg-3306 821 11 bent bent ADJ fuelectenerg-3306 821 12 functions function NOUN fuelectenerg-3306 821 13 . . PUNCT fuelectenerg-3306 822 1 example example NOUN fuelectenerg-3306 822 2 7 7 NUM fuelectenerg-3306 822 3 two two NUM fuelectenerg-3306 822 4 bent bent ADJ fuelectenerg-3306 822 5 functions function NOUN fuelectenerg-3306 822 6 of of ADP fuelectenerg-3306 822 7 4 4 NUM fuelectenerg-3306 822 8 variables variable NOUN fuelectenerg-3306 822 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 822 10 , , PUNCT fuelectenerg-3306 822 11 x2 x2 PROPN fuelectenerg-3306 822 12 , , PUNCT fuelectenerg-3306 822 13 x3 x3 ADJ fuelectenerg-3306 822 14 , , PUNCT fuelectenerg-3306 822 15 x4 x4 PROPN fuelectenerg-3306 822 16 ) ) PUNCT fuelectenerg-3306 822 17 = = PUNCT fuelectenerg-3306 823 1 x1x2 x1x2 PROPN fuelectenerg-3306 823 2 ⊕ ⊕ PROPN fuelectenerg-3306 823 3 x2x4 x2x4 PUNCT fuelectenerg-3306 823 4 ⊕ ⊕ PROPN fuelectenerg-3306 823 5 x3x4 x3x4 ADP fuelectenerg-3306 823 6 , , PUNCT fuelectenerg-3306 823 7 and and CCONJ fuelectenerg-3306 823 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 823 9 , , PUNCT fuelectenerg-3306 823 10 x2 x2 PROPN fuelectenerg-3306 823 11 , , PUNCT fuelectenerg-3306 823 12 x3 x3 ADJ fuelectenerg-3306 823 13 , , PUNCT fuelectenerg-3306 823 14 x4 x4 PROPN fuelectenerg-3306 823 15 ) ) PUNCT fuelectenerg-3306 823 16 = = SYM fuelectenerg-3306 824 1 x1x3 x1x3 PROPN fuelectenerg-3306 824 2 ⊕ ⊕ PROPN fuelectenerg-3306 824 3 x2x4 x2x4 X fuelectenerg-3306 824 4 have have VERB fuelectenerg-3306 824 5 only only ADV fuelectenerg-3306 824 6 second second ADJ fuelectenerg-3306 824 7 order order NOUN fuelectenerg-3306 824 8 non non ADJ fuelectenerg-3306 824 9 - - ADJ fuelectenerg-3306 824 10 zero zero NUM fuelectenerg-3306 824 11 rm rm NOUN fuelectenerg-3306 824 12 - - PUNCT fuelectenerg-3306 824 13 coefficients coefficient NOUN fuelectenerg-3306 824 14 and and CCONJ fuelectenerg-3306 824 15 belong belong VERB fuelectenerg-3306 824 16 to to ADP fuelectenerg-3306 824 17 the the DET fuelectenerg-3306 824 18 same same ADJ fuelectenerg-3306 824 19 subset subset NOUN fuelectenerg-3306 824 20 h(2 h(2 NOUN fuelectenerg-3306 824 21 , , PUNCT fuelectenerg-3306 824 22 2 2 NUM fuelectenerg-3306 824 23 ) ) PUNCT fuelectenerg-3306 824 24 . . PUNCT fuelectenerg-3306 825 1 3.3 3.3 NUM fuelectenerg-3306 825 2 grid grid NOUN fuelectenerg-3306 825 3 subset subset NOUN fuelectenerg-3306 825 4 in in ADP fuelectenerg-3306 825 5 definition definition NOUN fuelectenerg-3306 825 6 of of ADP fuelectenerg-3306 825 7 this this DET fuelectenerg-3306 825 8 subset subset NOUN fuelectenerg-3306 825 9 , , PUNCT fuelectenerg-3306 825 10 we we PRON fuelectenerg-3306 825 11 take take VERB fuelectenerg-3306 825 12 into into ADP fuelectenerg-3306 825 13 account account NOUN fuelectenerg-3306 825 14 both both PRON fuelectenerg-3306 825 15 , , PUNCT fuelectenerg-3306 825 16 the the DET fuelectenerg-3306 825 17 orders order NOUN fuelectenerg-3306 825 18 and and CCONJ fuelectenerg-3306 825 19 the the DET fuelectenerg-3306 825 20 number number NOUN fuelectenerg-3306 825 21 of of ADP fuelectenerg-3306 825 22 the the DET fuelectenerg-3306 825 23 coefficients coefficient NOUN fuelectenerg-3306 825 24 . . PUNCT fuelectenerg-3306 826 1 definition definition NOUN fuelectenerg-3306 826 2 7 7 NUM fuelectenerg-3306 826 3 a a DET fuelectenerg-3306 826 4 bent bent ADJ fuelectenerg-3306 826 5 function function NOUN fuelectenerg-3306 826 6 belongs belong VERB fuelectenerg-3306 826 7 to to ADP fuelectenerg-3306 826 8 the the DET fuelectenerg-3306 826 9 grid grid NOUN fuelectenerg-3306 826 10 ( ( PUNCT fuelectenerg-3306 826 11 k k PROPN fuelectenerg-3306 826 12 , , PUNCT fuelectenerg-3306 826 13 kmin kmin NOUN fuelectenerg-3306 826 14 , , PUNCT fuelectenerg-3306 826 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 826 16 g(k g(k PROPN fuelectenerg-3306 826 17 , , PUNCT fuelectenerg-3306 826 18 kmin kmin NOUN fuelectenerg-3306 826 19 , , PUNCT fuelectenerg-3306 826 20 kmax kmax PROPN fuelectenerg-3306 826 21 ) ) PUNCT fuelectenerg-3306 826 22 iff iff NOUN fuelectenerg-3306 826 23 it it PRON fuelectenerg-3306 826 24 has have VERB fuelectenerg-3306 826 25 k k PROPN fuelectenerg-3306 826 26 non non ADJ fuelectenerg-3306 826 27 - - ADJ fuelectenerg-3306 826 28 zero zero NUM fuelectenerg-3306 826 29 rm rm NOUN fuelectenerg-3306 826 30 - - PUNCT fuelectenerg-3306 826 31 coefficients coefficient NOUN fuelectenerg-3306 826 32 and and CCONJ fuelectenerg-3306 826 33 minimum minimum ADJ fuelectenerg-3306 826 34 order order NOUN fuelectenerg-3306 826 35 of of ADP fuelectenerg-3306 826 36 rm rm PROPN fuelectenerg-3306 826 37 coefficients coefficient NOUN fuelectenerg-3306 826 38 kmin kmin NOUN fuelectenerg-3306 826 39 and and CCONJ fuelectenerg-3306 826 40 maximum maximum ADJ fuelectenerg-3306 826 41 order order NOUN fuelectenerg-3306 826 42 kmax kmax NOUN fuelectenerg-3306 826 43 . . PUNCT fuelectenerg-3306 827 1 the the DET fuelectenerg-3306 827 2 g g PROPN fuelectenerg-3306 827 3 subsets subset NOUN fuelectenerg-3306 827 4 of of ADP fuelectenerg-3306 827 5 bent bent ADJ fuelectenerg-3306 827 6 functions function NOUN fuelectenerg-3306 827 7 are be AUX fuelectenerg-3306 827 8 the the DET fuelectenerg-3306 827 9 intersection intersection NOUN fuelectenerg-3306 827 10 of of ADP fuelectenerg-3306 827 11 v v NOUN fuelectenerg-3306 827 12 and and CCONJ fuelectenerg-3306 827 13 h h NOUN fuelectenerg-3306 827 14 subsets subset NOUN fuelectenerg-3306 827 15 . . PUNCT fuelectenerg-3306 828 1 number number NOUN fuelectenerg-3306 828 2 of of ADP fuelectenerg-3306 828 3 g g PROPN fuelectenerg-3306 828 4 subsets subset NOUN fuelectenerg-3306 828 5 also also ADV fuelectenerg-3306 828 6 depends depend VERB fuelectenerg-3306 828 7 of of ADP fuelectenerg-3306 828 8 the the DET fuelectenerg-3306 828 9 number number NOUN fuelectenerg-3306 828 10 of of ADP fuelectenerg-3306 828 11 variables variable NOUN fuelectenerg-3306 828 12 of of ADP fuelectenerg-3306 828 13 the the DET fuelectenerg-3306 828 14 bent bent ADJ fuelectenerg-3306 828 15 functions function NOUN fuelectenerg-3306 828 16 . . PUNCT fuelectenerg-3306 829 1 for for ADP fuelectenerg-3306 829 2 example example NOUN fuelectenerg-3306 829 3 , , PUNCT fuelectenerg-3306 829 4 there there PRON fuelectenerg-3306 829 5 are be VERB fuelectenerg-3306 829 6 many many ADJ fuelectenerg-3306 829 7 g g NOUN fuelectenerg-3306 829 8 subsets subset NOUN fuelectenerg-3306 829 9 for for ADP fuelectenerg-3306 829 10 bent bent ADJ fuelectenerg-3306 829 11 functions function NOUN fuelectenerg-3306 829 12 with with ADP fuelectenerg-3306 829 13 4 4 NUM fuelectenerg-3306 829 14 variables variable NOUN fuelectenerg-3306 829 15 : : PUNCT fuelectenerg-3306 829 16 v v X fuelectenerg-3306 829 17 ( ( PUNCT fuelectenerg-3306 829 18 1 1 NUM fuelectenerg-3306 829 19 , , PUNCT fuelectenerg-3306 829 20 0 0 NUM fuelectenerg-3306 829 21 , , PUNCT fuelectenerg-3306 829 22 0 0 NUM fuelectenerg-3306 829 23 ) ) PUNCT fuelectenerg-3306 829 24 , , PUNCT fuelectenerg-3306 829 25 h(1 h(1 PROPN fuelectenerg-3306 829 26 , , PUNCT fuelectenerg-3306 829 27 0 0 NUM fuelectenerg-3306 829 28 , , PUNCT fuelectenerg-3306 829 29 1 1 NUM fuelectenerg-3306 829 30 ) ) PUNCT fuelectenerg-3306 829 31 , , PUNCT fuelectenerg-3306 829 32 ... ... PUNCT fuelectenerg-3306 829 33 , , PUNCT fuelectenerg-3306 829 34 h(6 h(6 PROPN fuelectenerg-3306 829 35 , , PUNCT fuelectenerg-3306 829 36 2 2 NUM fuelectenerg-3306 829 37 , , PUNCT fuelectenerg-3306 829 38 2 2 NUM fuelectenerg-3306 829 39 ) ) PUNCT fuelectenerg-3306 829 40 . . PUNCT fuelectenerg-3306 830 1 there there PRON fuelectenerg-3306 830 2 are be VERB fuelectenerg-3306 830 3 also also ADV fuelectenerg-3306 830 4 many many ADJ fuelectenerg-3306 830 5 subsets subset NOUN fuelectenerg-3306 830 6 that that PRON fuelectenerg-3306 830 7 do do AUX fuelectenerg-3306 830 8 not not PART fuelectenerg-3306 830 9 contain contain VERB fuelectenerg-3306 830 10 any any PRON fuelectenerg-3306 830 11 of of ADP fuelectenerg-3306 830 12 the the DET fuelectenerg-3306 830 13 bent bent ADJ fuelectenerg-3306 830 14 functions function NOUN fuelectenerg-3306 830 15 . . PUNCT fuelectenerg-3306 831 1 example example NOUN fuelectenerg-3306 831 2 8 8 NUM fuelectenerg-3306 831 3 two two NUM fuelectenerg-3306 831 4 bent bent ADJ fuelectenerg-3306 831 5 functions function NOUN fuelectenerg-3306 831 6 of of ADP fuelectenerg-3306 831 7 4 4 NUM fuelectenerg-3306 831 8 variables variable NOUN fuelectenerg-3306 831 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 831 10 , , PUNCT fuelectenerg-3306 831 11 x2 x2 PROPN fuelectenerg-3306 831 12 , , PUNCT fuelectenerg-3306 831 13 x3 x3 ADJ fuelectenerg-3306 831 14 , , PUNCT fuelectenerg-3306 831 15 x4 x4 PROPN fuelectenerg-3306 831 16 ) ) PUNCT fuelectenerg-3306 831 17 = = SYM fuelectenerg-3306 832 1 x1x2 x1x2 PROPN fuelectenerg-3306 832 2 ⊕ ⊕ PROPN fuelectenerg-3306 832 3 x3x4 x3x4 ADP fuelectenerg-3306 832 4 , , PUNCT fuelectenerg-3306 832 5 and and CCONJ fuelectenerg-3306 832 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 832 7 , , PUNCT fuelectenerg-3306 832 8 x2 x2 PROPN fuelectenerg-3306 832 9 , , PUNCT fuelectenerg-3306 832 10 x3 x3 ADJ fuelectenerg-3306 832 11 , , PUNCT fuelectenerg-3306 832 12 x4 x4 PROPN fuelectenerg-3306 832 13 ) ) PUNCT fuelectenerg-3306 832 14 = = SYM fuelectenerg-3306 833 1 x1x3 x1x3 PROPN fuelectenerg-3306 833 2 ⊕ ⊕ PROPN fuelectenerg-3306 833 3 x2x4 x2x4 X fuelectenerg-3306 833 4 have have VERB fuelectenerg-3306 833 5 only only ADV fuelectenerg-3306 833 6 2 2 NUM fuelectenerg-3306 833 7 and and CCONJ fuelectenerg-3306 833 8 second second ADJ fuelectenerg-3306 833 9 order order NOUN fuelectenerg-3306 833 10 non non ADJ fuelectenerg-3306 833 11 - - ADJ fuelectenerg-3306 833 12 zero zero NUM fuelectenerg-3306 833 13 rm rm NOUN fuelectenerg-3306 833 14 - - PUNCT fuelectenerg-3306 833 15 coefficients coefficient NOUN fuelectenerg-3306 833 16 and and CCONJ fuelectenerg-3306 833 17 belong belong VERB fuelectenerg-3306 833 18 to to ADP fuelectenerg-3306 833 19 the the DET fuelectenerg-3306 833 20 same same ADJ fuelectenerg-3306 833 21 subset subset NOUN fuelectenerg-3306 833 22 g(2 g(2 PROPN fuelectenerg-3306 833 23 , , PUNCT fuelectenerg-3306 833 24 2 2 NUM fuelectenerg-3306 833 25 , , PUNCT fuelectenerg-3306 833 26 2 2 NUM fuelectenerg-3306 833 27 ) ) PUNCT fuelectenerg-3306 833 28 . . PUNCT fuelectenerg-3306 834 1 it it PRON fuelectenerg-3306 834 2 should should AUX fuelectenerg-3306 834 3 be be AUX fuelectenerg-3306 834 4 noticed notice VERB fuelectenerg-3306 834 5 that that SCONJ fuelectenerg-3306 834 6 there there PRON fuelectenerg-3306 834 7 are be VERB fuelectenerg-3306 834 8 bent bent ADJ fuelectenerg-3306 834 9 functions function NOUN fuelectenerg-3306 834 10 that that PRON fuelectenerg-3306 834 11 do do AUX fuelectenerg-3306 834 12 not not PART fuelectenerg-3306 834 13 belongs belong VERB fuelectenerg-3306 834 14 to to ADP fuelectenerg-3306 834 15 any any PRON fuelectenerg-3306 834 16 of of ADP fuelectenerg-3306 834 17 g g PROPN fuelectenerg-3306 834 18 subsets subset NOUN fuelectenerg-3306 834 19 . . PUNCT fuelectenerg-3306 835 1 4 4 NUM fuelectenerg-3306 835 2 experimental experimental ADJ fuelectenerg-3306 835 3 results result NOUN fuelectenerg-3306 835 4 in in ADP fuelectenerg-3306 835 5 this this DET fuelectenerg-3306 835 6 section section NOUN fuelectenerg-3306 835 7 , , PUNCT fuelectenerg-3306 835 8 we we PRON fuelectenerg-3306 835 9 made make VERB fuelectenerg-3306 835 10 enumeration enumeration NOUN fuelectenerg-3306 835 11 of of ADP fuelectenerg-3306 835 12 bent bent ADJ fuelectenerg-3306 835 13 functions function NOUN fuelectenerg-3306 835 14 in in ADP fuelectenerg-3306 835 15 some some DET fuelectenerg-3306 835 16 vertical vertical ADJ fuelectenerg-3306 835 17 , , PUNCT fuelectenerg-3306 835 18 horizontal horizontal ADJ fuelectenerg-3306 835 19 and and CCONJ fuelectenerg-3306 835 20 grid grid NOUN fuelectenerg-3306 835 21 subsets subset NOUN fuelectenerg-3306 835 22 for for ADP fuelectenerg-3306 835 23 functions function NOUN fuelectenerg-3306 835 24 with with ADP fuelectenerg-3306 835 25 4 4 NUM fuelectenerg-3306 835 26 , , PUNCT fuelectenerg-3306 835 27 6 6 NUM fuelectenerg-3306 835 28 , , PUNCT fuelectenerg-3306 835 29 and and CCONJ fuelectenerg-3306 835 30 8 8 NUM fuelectenerg-3306 835 31 variables variable NOUN fuelectenerg-3306 835 32 . . PUNCT fuelectenerg-3306 836 1 there there PRON fuelectenerg-3306 836 2 are be VERB fuelectenerg-3306 836 3 two two NUM fuelectenerg-3306 836 4 types type NOUN fuelectenerg-3306 836 5 of of ADP fuelectenerg-3306 836 6 methods method NOUN fuelectenerg-3306 836 7 for for ADP fuelectenerg-3306 836 8 enumerations enumeration NOUN fuelectenerg-3306 836 9 of of ADP fuelectenerg-3306 836 10 bent bent ADJ fuelectenerg-3306 836 11 functions function NOUN fuelectenerg-3306 836 12 , , PUNCT fuelectenerg-3306 836 13 primary primary ADJ fuelectenerg-3306 836 14 and and CCONJ fuelectenerg-3306 836 15 secondary secondary ADJ fuelectenerg-3306 836 16 . . PUNCT fuelectenerg-3306 837 1 the the DET fuelectenerg-3306 837 2 primary primary ADJ fuelectenerg-3306 837 3 methods method NOUN fuelectenerg-3306 837 4 are be AUX fuelectenerg-3306 837 5 based base VERB fuelectenerg-3306 837 6 on on ADP fuelectenerg-3306 837 7 the the DET fuelectenerg-3306 837 8 direct direct ADJ fuelectenerg-3306 837 9 enumeration enumeration NOUN fuelectenerg-3306 837 10 in in ADP fuelectenerg-3306 837 11 the the DET fuelectenerg-3306 837 12 boolean boolean ADJ fuelectenerg-3306 837 13 domain domain NOUN fuelectenerg-3306 837 14 . . PUNCT fuelectenerg-3306 838 1 the the DET fuelectenerg-3306 838 2 secondary secondary ADJ fuelectenerg-3306 838 3 methods method NOUN fuelectenerg-3306 838 4 are be AUX fuelectenerg-3306 838 5 based base VERB fuelectenerg-3306 838 6 on on ADP fuelectenerg-3306 838 7 construction construction NOUN fuelectenerg-3306 838 8 of of ADP fuelectenerg-3306 838 9 subsets subset NOUN fuelectenerg-3306 838 10 of of ADP fuelectenerg-3306 838 11 bent bent ADJ fuelectenerg-3306 838 12 functions function NOUN fuelectenerg-3306 838 13 satisfying satisfy VERB fuelectenerg-3306 838 14 restrictions restriction NOUN fuelectenerg-3306 838 15 ... ... PUNCT fuelectenerg-3306 838 16 9 9 NUM fuelectenerg-3306 838 17 h(1 h(1 NOUN fuelectenerg-3306 838 18 , , PUNCT fuelectenerg-3306 838 19 2 2 NUM fuelectenerg-3306 838 20 ) ) PUNCT fuelectenerg-3306 838 21 , , PUNCT fuelectenerg-3306 838 22 and and CCONJ fuelectenerg-3306 838 23 h(2 h(2 NOUN fuelectenerg-3306 838 24 , , PUNCT fuelectenerg-3306 838 25 2 2 NUM fuelectenerg-3306 838 26 ) ) PUNCT fuelectenerg-3306 838 27 . . PUNCT fuelectenerg-3306 839 1 there there PRON fuelectenerg-3306 839 2 are be VERB fuelectenerg-3306 839 3 h h PROPN fuelectenerg-3306 839 4 subsets subset NOUN fuelectenerg-3306 839 5 h(0 h(0 PROPN fuelectenerg-3306 839 6 , , PUNCT fuelectenerg-3306 839 7 0 0 NUM fuelectenerg-3306 839 8 ) ) PUNCT fuelectenerg-3306 839 9 , , PUNCT fuelectenerg-3306 839 10 h(0 h(0 PROPN fuelectenerg-3306 839 11 , , PUNCT fuelectenerg-3306 839 12 1 1 NUM fuelectenerg-3306 839 13 ) ) PUNCT fuelectenerg-3306 839 14 , , PUNCT fuelectenerg-3306 839 15 and and CCONJ fuelectenerg-3306 839 16 h(1 h(1 PROPN fuelectenerg-3306 839 17 , , PUNCT fuelectenerg-3306 839 18 1 1 NUM fuelectenerg-3306 839 19 ) ) PUNCT fuelectenerg-3306 839 20 , , PUNCT fuelectenerg-3306 839 21 that that PRON fuelectenerg-3306 839 22 do do AUX fuelectenerg-3306 839 23 not not PART fuelectenerg-3306 839 24 contain contain VERB fuelectenerg-3306 839 25 any any PRON fuelectenerg-3306 839 26 of of ADP fuelectenerg-3306 839 27 the the DET fuelectenerg-3306 839 28 bent bent ADJ fuelectenerg-3306 839 29 functions function NOUN fuelectenerg-3306 839 30 . . PUNCT fuelectenerg-3306 840 1 example example NOUN fuelectenerg-3306 840 2 6 6 NUM fuelectenerg-3306 840 3 for for ADP fuelectenerg-3306 840 4 bent bent ADJ fuelectenerg-3306 840 5 functions function NOUN fuelectenerg-3306 840 6 with with ADP fuelectenerg-3306 840 7 6 6 NUM fuelectenerg-3306 840 8 variables variable NOUN fuelectenerg-3306 840 9 , , PUNCT fuelectenerg-3306 840 10 there there PRON fuelectenerg-3306 840 11 are be VERB fuelectenerg-3306 840 12 10 10 NUM fuelectenerg-3306 840 13 possible possible ADJ fuelectenerg-3306 840 14 h h NOUN fuelectenerg-3306 840 15 subsets subset NOUN fuelectenerg-3306 840 16 : : PUNCT fuelectenerg-3306 841 1 h(0 h(0 NOUN fuelectenerg-3306 841 2 , , PUNCT fuelectenerg-3306 841 3 0 0 NUM fuelectenerg-3306 841 4 ) ) PUNCT fuelectenerg-3306 841 5 , , PUNCT fuelectenerg-3306 841 6 h(0 h(0 PROPN fuelectenerg-3306 841 7 , , PUNCT fuelectenerg-3306 841 8 1 1 NUM fuelectenerg-3306 841 9 ) ) PUNCT fuelectenerg-3306 841 10 , , PUNCT fuelectenerg-3306 841 11 h(0 h(0 PROPN fuelectenerg-3306 841 12 , , PUNCT fuelectenerg-3306 841 13 2 2 NUM fuelectenerg-3306 841 14 ) ) PUNCT fuelectenerg-3306 841 15 , , PUNCT fuelectenerg-3306 841 16 h(0 h(0 PROPN fuelectenerg-3306 841 17 , , PUNCT fuelectenerg-3306 841 18 3 3 NUM fuelectenerg-3306 841 19 ) ) PUNCT fuelectenerg-3306 841 20 , , PUNCT fuelectenerg-3306 841 21 h(1 h(1 PROPN fuelectenerg-3306 841 22 , , PUNCT fuelectenerg-3306 841 23 1 1 NUM fuelectenerg-3306 841 24 ) ) PUNCT fuelectenerg-3306 841 25 , , PUNCT fuelectenerg-3306 841 26 h(1 h(1 PROPN fuelectenerg-3306 841 27 , , PUNCT fuelectenerg-3306 841 28 2 2 NUM fuelectenerg-3306 841 29 ) ) PUNCT fuelectenerg-3306 841 30 , , PUNCT fuelectenerg-3306 841 31 h(1 h(1 PROPN fuelectenerg-3306 841 32 , , PUNCT fuelectenerg-3306 841 33 3 3 NUM fuelectenerg-3306 841 34 ) ) PUNCT fuelectenerg-3306 841 35 , , PUNCT fuelectenerg-3306 841 36 h(2 h(2 NOUN fuelectenerg-3306 841 37 , , PUNCT fuelectenerg-3306 841 38 2 2 NUM fuelectenerg-3306 841 39 ) ) PUNCT fuelectenerg-3306 841 40 , , PUNCT fuelectenerg-3306 841 41 h(2 h(2 NOUN fuelectenerg-3306 841 42 , , PUNCT fuelectenerg-3306 841 43 3 3 NUM fuelectenerg-3306 841 44 ) ) PUNCT fuelectenerg-3306 841 45 , , PUNCT fuelectenerg-3306 841 46 and and CCONJ fuelectenerg-3306 841 47 h(3 h(3 PROPN fuelectenerg-3306 841 48 , , PUNCT fuelectenerg-3306 841 49 3 3 NUM fuelectenerg-3306 841 50 ) ) PUNCT fuelectenerg-3306 841 51 . . PUNCT fuelectenerg-3306 842 1 some some PRON fuelectenerg-3306 842 2 of of ADP fuelectenerg-3306 842 3 subsets subset NOUN fuelectenerg-3306 842 4 also also ADV fuelectenerg-3306 842 5 do do AUX fuelectenerg-3306 842 6 not not PART fuelectenerg-3306 842 7 contain contain VERB fuelectenerg-3306 842 8 any any PRON fuelectenerg-3306 842 9 of of ADP fuelectenerg-3306 842 10 the the DET fuelectenerg-3306 842 11 bent bent ADJ fuelectenerg-3306 842 12 functions function NOUN fuelectenerg-3306 842 13 . . PUNCT fuelectenerg-3306 843 1 example example NOUN fuelectenerg-3306 843 2 7 7 NUM fuelectenerg-3306 843 3 two two NUM fuelectenerg-3306 843 4 bent bent ADJ fuelectenerg-3306 843 5 functions function NOUN fuelectenerg-3306 843 6 of of ADP fuelectenerg-3306 843 7 4 4 NUM fuelectenerg-3306 843 8 variables variable NOUN fuelectenerg-3306 843 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 843 10 , , PUNCT fuelectenerg-3306 843 11 x2 x2 PROPN fuelectenerg-3306 843 12 , , PUNCT fuelectenerg-3306 843 13 x3 x3 ADJ fuelectenerg-3306 843 14 , , PUNCT fuelectenerg-3306 843 15 x4 x4 PROPN fuelectenerg-3306 843 16 ) ) PUNCT fuelectenerg-3306 843 17 = = PUNCT fuelectenerg-3306 844 1 x1x2 x1x2 PROPN fuelectenerg-3306 844 2 ⊕ ⊕ PROPN fuelectenerg-3306 844 3 x2x4 x2x4 PUNCT fuelectenerg-3306 844 4 ⊕ ⊕ PROPN fuelectenerg-3306 844 5 x3x4 x3x4 ADP fuelectenerg-3306 844 6 , , PUNCT fuelectenerg-3306 844 7 and and CCONJ fuelectenerg-3306 844 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 844 9 , , PUNCT fuelectenerg-3306 844 10 x2 x2 PROPN fuelectenerg-3306 844 11 , , PUNCT fuelectenerg-3306 844 12 x3 x3 ADJ fuelectenerg-3306 844 13 , , PUNCT fuelectenerg-3306 844 14 x4 x4 PROPN fuelectenerg-3306 844 15 ) ) PUNCT fuelectenerg-3306 844 16 = = SYM fuelectenerg-3306 845 1 x1x3 x1x3 PROPN fuelectenerg-3306 845 2 ⊕ ⊕ PROPN fuelectenerg-3306 845 3 x2x4 x2x4 X fuelectenerg-3306 845 4 have have VERB fuelectenerg-3306 845 5 only only ADV fuelectenerg-3306 845 6 second second ADJ fuelectenerg-3306 845 7 order order NOUN fuelectenerg-3306 845 8 non non ADJ fuelectenerg-3306 845 9 - - ADJ fuelectenerg-3306 845 10 zero zero NUM fuelectenerg-3306 845 11 rm rm NOUN fuelectenerg-3306 845 12 - - PUNCT fuelectenerg-3306 845 13 coefficients coefficient NOUN fuelectenerg-3306 845 14 and and CCONJ fuelectenerg-3306 845 15 belong belong VERB fuelectenerg-3306 845 16 to to ADP fuelectenerg-3306 845 17 the the DET fuelectenerg-3306 845 18 same same ADJ fuelectenerg-3306 845 19 subset subset NOUN fuelectenerg-3306 845 20 h(2 h(2 NOUN fuelectenerg-3306 845 21 , , PUNCT fuelectenerg-3306 845 22 2 2 NUM fuelectenerg-3306 845 23 ) ) PUNCT fuelectenerg-3306 845 24 . . PUNCT fuelectenerg-3306 846 1 3.3 3.3 NUM fuelectenerg-3306 846 2 grid grid NOUN fuelectenerg-3306 846 3 subset subset NOUN fuelectenerg-3306 846 4 in in ADP fuelectenerg-3306 846 5 definition definition NOUN fuelectenerg-3306 846 6 of of ADP fuelectenerg-3306 846 7 this this DET fuelectenerg-3306 846 8 subset subset NOUN fuelectenerg-3306 846 9 , , PUNCT fuelectenerg-3306 846 10 we we PRON fuelectenerg-3306 846 11 take take VERB fuelectenerg-3306 846 12 into into ADP fuelectenerg-3306 846 13 account account NOUN fuelectenerg-3306 846 14 both both PRON fuelectenerg-3306 846 15 , , PUNCT fuelectenerg-3306 846 16 the the DET fuelectenerg-3306 846 17 orders order NOUN fuelectenerg-3306 846 18 and and CCONJ fuelectenerg-3306 846 19 the the DET fuelectenerg-3306 846 20 number number NOUN fuelectenerg-3306 846 21 of of ADP fuelectenerg-3306 846 22 the the DET fuelectenerg-3306 846 23 coefficients coefficient NOUN fuelectenerg-3306 846 24 . . PUNCT fuelectenerg-3306 847 1 definition definition NOUN fuelectenerg-3306 847 2 7 7 NUM fuelectenerg-3306 847 3 a a DET fuelectenerg-3306 847 4 bent bent ADJ fuelectenerg-3306 847 5 function function NOUN fuelectenerg-3306 847 6 belongs belong VERB fuelectenerg-3306 847 7 to to ADP fuelectenerg-3306 847 8 the the DET fuelectenerg-3306 847 9 grid grid NOUN fuelectenerg-3306 847 10 ( ( PUNCT fuelectenerg-3306 847 11 k k PROPN fuelectenerg-3306 847 12 , , PUNCT fuelectenerg-3306 847 13 kmin kmin NOUN fuelectenerg-3306 847 14 , , PUNCT fuelectenerg-3306 847 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 847 16 g(k g(k PROPN fuelectenerg-3306 847 17 , , PUNCT fuelectenerg-3306 847 18 kmin kmin NOUN fuelectenerg-3306 847 19 , , PUNCT fuelectenerg-3306 847 20 kmax kmax PROPN fuelectenerg-3306 847 21 ) ) PUNCT fuelectenerg-3306 847 22 iff iff NOUN fuelectenerg-3306 847 23 it it PRON fuelectenerg-3306 847 24 has have VERB fuelectenerg-3306 847 25 k k PROPN fuelectenerg-3306 847 26 non non ADJ fuelectenerg-3306 847 27 - - ADJ fuelectenerg-3306 847 28 zero zero NUM fuelectenerg-3306 847 29 rm rm NOUN fuelectenerg-3306 847 30 - - PUNCT fuelectenerg-3306 847 31 coefficients coefficient NOUN fuelectenerg-3306 847 32 and and CCONJ fuelectenerg-3306 847 33 minimum minimum ADJ fuelectenerg-3306 847 34 order order NOUN fuelectenerg-3306 847 35 of of ADP fuelectenerg-3306 847 36 rm rm PROPN fuelectenerg-3306 847 37 coefficients coefficient NOUN fuelectenerg-3306 847 38 kmin kmin NOUN fuelectenerg-3306 847 39 and and CCONJ fuelectenerg-3306 847 40 maximum maximum ADJ fuelectenerg-3306 847 41 order order NOUN fuelectenerg-3306 847 42 kmax kmax NOUN fuelectenerg-3306 847 43 . . PUNCT fuelectenerg-3306 848 1 the the DET fuelectenerg-3306 848 2 g g PROPN fuelectenerg-3306 848 3 subsets subset NOUN fuelectenerg-3306 848 4 of of ADP fuelectenerg-3306 848 5 bent bent ADJ fuelectenerg-3306 848 6 functions function NOUN fuelectenerg-3306 848 7 are be AUX fuelectenerg-3306 848 8 the the DET fuelectenerg-3306 848 9 intersection intersection NOUN fuelectenerg-3306 848 10 of of ADP fuelectenerg-3306 848 11 v v NOUN fuelectenerg-3306 848 12 and and CCONJ fuelectenerg-3306 848 13 h h NOUN fuelectenerg-3306 848 14 subsets subset NOUN fuelectenerg-3306 848 15 . . PUNCT fuelectenerg-3306 849 1 number number NOUN fuelectenerg-3306 849 2 of of ADP fuelectenerg-3306 849 3 g g PROPN fuelectenerg-3306 849 4 subsets subset NOUN fuelectenerg-3306 849 5 also also ADV fuelectenerg-3306 849 6 depends depend VERB fuelectenerg-3306 849 7 of of ADP fuelectenerg-3306 849 8 the the DET fuelectenerg-3306 849 9 number number NOUN fuelectenerg-3306 849 10 of of ADP fuelectenerg-3306 849 11 variables variable NOUN fuelectenerg-3306 849 12 of of ADP fuelectenerg-3306 849 13 the the DET fuelectenerg-3306 849 14 bent bent ADJ fuelectenerg-3306 849 15 functions function NOUN fuelectenerg-3306 849 16 . . PUNCT fuelectenerg-3306 850 1 for for ADP fuelectenerg-3306 850 2 example example NOUN fuelectenerg-3306 850 3 , , PUNCT fuelectenerg-3306 850 4 there there PRON fuelectenerg-3306 850 5 are be VERB fuelectenerg-3306 850 6 many many ADJ fuelectenerg-3306 850 7 g g NOUN fuelectenerg-3306 850 8 subsets subset NOUN fuelectenerg-3306 850 9 for for ADP fuelectenerg-3306 850 10 bent bent ADJ fuelectenerg-3306 850 11 functions function NOUN fuelectenerg-3306 850 12 with with ADP fuelectenerg-3306 850 13 4 4 NUM fuelectenerg-3306 850 14 variables variable NOUN fuelectenerg-3306 850 15 : : PUNCT fuelectenerg-3306 850 16 v v X fuelectenerg-3306 850 17 ( ( PUNCT fuelectenerg-3306 850 18 1 1 NUM fuelectenerg-3306 850 19 , , PUNCT fuelectenerg-3306 850 20 0 0 NUM fuelectenerg-3306 850 21 , , PUNCT fuelectenerg-3306 850 22 0 0 NUM fuelectenerg-3306 850 23 ) ) PUNCT fuelectenerg-3306 850 24 , , PUNCT fuelectenerg-3306 850 25 h(1 h(1 PROPN fuelectenerg-3306 850 26 , , PUNCT fuelectenerg-3306 850 27 0 0 NUM fuelectenerg-3306 850 28 , , PUNCT fuelectenerg-3306 850 29 1 1 NUM fuelectenerg-3306 850 30 ) ) PUNCT fuelectenerg-3306 850 31 , , PUNCT fuelectenerg-3306 850 32 ... ... PUNCT fuelectenerg-3306 850 33 , , PUNCT fuelectenerg-3306 850 34 h(6 h(6 PROPN fuelectenerg-3306 850 35 , , PUNCT fuelectenerg-3306 850 36 2 2 NUM fuelectenerg-3306 850 37 , , PUNCT fuelectenerg-3306 850 38 2 2 NUM fuelectenerg-3306 850 39 ) ) PUNCT fuelectenerg-3306 850 40 . . PUNCT fuelectenerg-3306 851 1 there there PRON fuelectenerg-3306 851 2 are be VERB fuelectenerg-3306 851 3 also also ADV fuelectenerg-3306 851 4 many many ADJ fuelectenerg-3306 851 5 subsets subset NOUN fuelectenerg-3306 851 6 that that PRON fuelectenerg-3306 851 7 do do AUX fuelectenerg-3306 851 8 not not PART fuelectenerg-3306 851 9 contain contain VERB fuelectenerg-3306 851 10 any any PRON fuelectenerg-3306 851 11 of of ADP fuelectenerg-3306 851 12 the the DET fuelectenerg-3306 851 13 bent bent ADJ fuelectenerg-3306 851 14 functions function NOUN fuelectenerg-3306 851 15 . . PUNCT fuelectenerg-3306 852 1 example example NOUN fuelectenerg-3306 852 2 8 8 NUM fuelectenerg-3306 852 3 two two NUM fuelectenerg-3306 852 4 bent bent ADJ fuelectenerg-3306 852 5 functions function NOUN fuelectenerg-3306 852 6 of of ADP fuelectenerg-3306 852 7 4 4 NUM fuelectenerg-3306 852 8 variables variable NOUN fuelectenerg-3306 852 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 852 10 , , PUNCT fuelectenerg-3306 852 11 x2 x2 PROPN fuelectenerg-3306 852 12 , , PUNCT fuelectenerg-3306 852 13 x3 x3 ADJ fuelectenerg-3306 852 14 , , PUNCT fuelectenerg-3306 852 15 x4 x4 PROPN fuelectenerg-3306 852 16 ) ) PUNCT fuelectenerg-3306 852 17 = = SYM fuelectenerg-3306 853 1 x1x2 x1x2 PROPN fuelectenerg-3306 853 2 ⊕ ⊕ PROPN fuelectenerg-3306 853 3 x3x4 x3x4 ADP fuelectenerg-3306 853 4 , , PUNCT fuelectenerg-3306 853 5 and and CCONJ fuelectenerg-3306 853 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 853 7 , , PUNCT fuelectenerg-3306 853 8 x2 x2 PROPN fuelectenerg-3306 853 9 , , PUNCT fuelectenerg-3306 853 10 x3 x3 ADJ fuelectenerg-3306 853 11 , , PUNCT fuelectenerg-3306 853 12 x4 x4 PROPN fuelectenerg-3306 853 13 ) ) PUNCT fuelectenerg-3306 853 14 = = SYM fuelectenerg-3306 854 1 x1x3 x1x3 PROPN fuelectenerg-3306 854 2 ⊕ ⊕ PROPN fuelectenerg-3306 854 3 x2x4 x2x4 X fuelectenerg-3306 854 4 have have VERB fuelectenerg-3306 854 5 only only ADV fuelectenerg-3306 854 6 2 2 NUM fuelectenerg-3306 854 7 and and CCONJ fuelectenerg-3306 854 8 second second ADJ fuelectenerg-3306 854 9 order order NOUN fuelectenerg-3306 854 10 non non ADJ fuelectenerg-3306 854 11 - - ADJ fuelectenerg-3306 854 12 zero zero NUM fuelectenerg-3306 854 13 rm rm NOUN fuelectenerg-3306 854 14 - - PUNCT fuelectenerg-3306 854 15 coefficients coefficient NOUN fuelectenerg-3306 854 16 and and CCONJ fuelectenerg-3306 854 17 belong belong VERB fuelectenerg-3306 854 18 to to ADP fuelectenerg-3306 854 19 the the DET fuelectenerg-3306 854 20 same same ADJ fuelectenerg-3306 854 21 subset subset NOUN fuelectenerg-3306 854 22 g(2 g(2 PROPN fuelectenerg-3306 854 23 , , PUNCT fuelectenerg-3306 854 24 2 2 NUM fuelectenerg-3306 854 25 , , PUNCT fuelectenerg-3306 854 26 2 2 NUM fuelectenerg-3306 854 27 ) ) PUNCT fuelectenerg-3306 854 28 . . PUNCT fuelectenerg-3306 855 1 it it PRON fuelectenerg-3306 855 2 should should AUX fuelectenerg-3306 855 3 be be AUX fuelectenerg-3306 855 4 noticed notice VERB fuelectenerg-3306 855 5 that that SCONJ fuelectenerg-3306 855 6 there there PRON fuelectenerg-3306 855 7 are be VERB fuelectenerg-3306 855 8 bent bent ADJ fuelectenerg-3306 855 9 functions function NOUN fuelectenerg-3306 855 10 that that PRON fuelectenerg-3306 855 11 do do AUX fuelectenerg-3306 855 12 not not PART fuelectenerg-3306 855 13 belongs belong VERB fuelectenerg-3306 855 14 to to ADP fuelectenerg-3306 855 15 any any PRON fuelectenerg-3306 855 16 of of ADP fuelectenerg-3306 855 17 g g PROPN fuelectenerg-3306 855 18 subsets subset NOUN fuelectenerg-3306 855 19 . . PUNCT fuelectenerg-3306 856 1 4 4 NUM fuelectenerg-3306 856 2 experimental experimental ADJ fuelectenerg-3306 856 3 results result NOUN fuelectenerg-3306 856 4 in in ADP fuelectenerg-3306 856 5 this this DET fuelectenerg-3306 856 6 section section NOUN fuelectenerg-3306 856 7 , , PUNCT fuelectenerg-3306 856 8 we we PRON fuelectenerg-3306 856 9 made make VERB fuelectenerg-3306 856 10 enumeration enumeration NOUN fuelectenerg-3306 856 11 of of ADP fuelectenerg-3306 856 12 bent bent ADJ fuelectenerg-3306 856 13 functions function NOUN fuelectenerg-3306 856 14 in in ADP fuelectenerg-3306 856 15 some some DET fuelectenerg-3306 856 16 vertical vertical ADJ fuelectenerg-3306 856 17 , , PUNCT fuelectenerg-3306 856 18 horizontal horizontal ADJ fuelectenerg-3306 856 19 and and CCONJ fuelectenerg-3306 856 20 grid grid NOUN fuelectenerg-3306 856 21 subsets subset NOUN fuelectenerg-3306 856 22 for for ADP fuelectenerg-3306 856 23 functions function NOUN fuelectenerg-3306 856 24 with with ADP fuelectenerg-3306 856 25 4 4 NUM fuelectenerg-3306 856 26 , , PUNCT fuelectenerg-3306 856 27 6 6 NUM fuelectenerg-3306 856 28 , , PUNCT fuelectenerg-3306 856 29 and and CCONJ fuelectenerg-3306 856 30 8 8 NUM fuelectenerg-3306 856 31 variables variable NOUN fuelectenerg-3306 856 32 . . PUNCT fuelectenerg-3306 857 1 there there PRON fuelectenerg-3306 857 2 are be VERB fuelectenerg-3306 857 3 two two NUM fuelectenerg-3306 857 4 types type NOUN fuelectenerg-3306 857 5 of of ADP fuelectenerg-3306 857 6 methods method NOUN fuelectenerg-3306 857 7 for for ADP fuelectenerg-3306 857 8 enumerations enumeration NOUN fuelectenerg-3306 857 9 of of ADP fuelectenerg-3306 857 10 bent bent ADJ fuelectenerg-3306 857 11 functions function NOUN fuelectenerg-3306 857 12 , , PUNCT fuelectenerg-3306 857 13 primary primary ADJ fuelectenerg-3306 857 14 and and CCONJ fuelectenerg-3306 857 15 secondary secondary ADJ fuelectenerg-3306 857 16 . . PUNCT fuelectenerg-3306 858 1 the the DET fuelectenerg-3306 858 2 primary primary ADJ fuelectenerg-3306 858 3 methods method NOUN fuelectenerg-3306 858 4 are be AUX fuelectenerg-3306 858 5 based base VERB fuelectenerg-3306 858 6 on on ADP fuelectenerg-3306 858 7 the the DET fuelectenerg-3306 858 8 direct direct ADJ fuelectenerg-3306 858 9 enumeration enumeration NOUN fuelectenerg-3306 858 10 in in ADP fuelectenerg-3306 858 11 the the DET fuelectenerg-3306 858 12 boolean boolean ADJ fuelectenerg-3306 858 13 domain domain NOUN fuelectenerg-3306 858 14 . . PUNCT fuelectenerg-3306 859 1 the the DET fuelectenerg-3306 859 2 secondary secondary ADJ fuelectenerg-3306 859 3 methods method NOUN fuelectenerg-3306 859 4 are be AUX fuelectenerg-3306 859 5 based base VERB fuelectenerg-3306 859 6 on on ADP fuelectenerg-3306 859 7 construction construction NOUN fuelectenerg-3306 859 8 of of ADP fuelectenerg-3306 859 9 subsets subset NOUN fuelectenerg-3306 859 10 of of ADP fuelectenerg-3306 859 11 bent bent ADJ fuelectenerg-3306 859 12 functions function NOUN fuelectenerg-3306 859 13 satisfying satisfy VERB fuelectenerg-3306 859 14 restrictions restriction NOUN fuelectenerg-3306 859 15 ... ... PUNCT fuelectenerg-3306 859 16 9 9 NUM fuelectenerg-3306 859 17 h(1 h(1 NOUN fuelectenerg-3306 859 18 , , PUNCT fuelectenerg-3306 859 19 2 2 NUM fuelectenerg-3306 859 20 ) ) PUNCT fuelectenerg-3306 859 21 , , PUNCT fuelectenerg-3306 859 22 and and CCONJ fuelectenerg-3306 859 23 h(2 h(2 NOUN fuelectenerg-3306 859 24 , , PUNCT fuelectenerg-3306 859 25 2 2 NUM fuelectenerg-3306 859 26 ) ) PUNCT fuelectenerg-3306 859 27 . . PUNCT fuelectenerg-3306 860 1 there there PRON fuelectenerg-3306 860 2 are be VERB fuelectenerg-3306 860 3 h h PROPN fuelectenerg-3306 860 4 subsets subset NOUN fuelectenerg-3306 860 5 h(0 h(0 PROPN fuelectenerg-3306 860 6 , , PUNCT fuelectenerg-3306 860 7 0 0 NUM fuelectenerg-3306 860 8 ) ) PUNCT fuelectenerg-3306 860 9 , , PUNCT fuelectenerg-3306 860 10 h(0 h(0 PROPN fuelectenerg-3306 860 11 , , PUNCT fuelectenerg-3306 860 12 1 1 NUM fuelectenerg-3306 860 13 ) ) PUNCT fuelectenerg-3306 860 14 , , PUNCT fuelectenerg-3306 860 15 and and CCONJ fuelectenerg-3306 860 16 h(1 h(1 PROPN fuelectenerg-3306 860 17 , , PUNCT fuelectenerg-3306 860 18 1 1 NUM fuelectenerg-3306 860 19 ) ) PUNCT fuelectenerg-3306 860 20 , , PUNCT fuelectenerg-3306 860 21 that that PRON fuelectenerg-3306 860 22 do do AUX fuelectenerg-3306 860 23 not not PART fuelectenerg-3306 860 24 contain contain VERB fuelectenerg-3306 860 25 any any PRON fuelectenerg-3306 860 26 of of ADP fuelectenerg-3306 860 27 the the DET fuelectenerg-3306 860 28 bent bent ADJ fuelectenerg-3306 860 29 functions function NOUN fuelectenerg-3306 860 30 . . PUNCT fuelectenerg-3306 861 1 example example NOUN fuelectenerg-3306 861 2 6 6 NUM fuelectenerg-3306 861 3 for for ADP fuelectenerg-3306 861 4 bent bent ADJ fuelectenerg-3306 861 5 functions function NOUN fuelectenerg-3306 861 6 with with ADP fuelectenerg-3306 861 7 6 6 NUM fuelectenerg-3306 861 8 variables variable NOUN fuelectenerg-3306 861 9 , , PUNCT fuelectenerg-3306 861 10 there there PRON fuelectenerg-3306 861 11 are be VERB fuelectenerg-3306 861 12 10 10 NUM fuelectenerg-3306 861 13 possible possible ADJ fuelectenerg-3306 861 14 h h NOUN fuelectenerg-3306 861 15 subsets subset NOUN fuelectenerg-3306 861 16 : : PUNCT fuelectenerg-3306 862 1 h(0 h(0 NOUN fuelectenerg-3306 862 2 , , PUNCT fuelectenerg-3306 862 3 0 0 NUM fuelectenerg-3306 862 4 ) ) PUNCT fuelectenerg-3306 862 5 , , PUNCT fuelectenerg-3306 862 6 h(0 h(0 PROPN fuelectenerg-3306 862 7 , , PUNCT fuelectenerg-3306 862 8 1 1 NUM fuelectenerg-3306 862 9 ) ) PUNCT fuelectenerg-3306 862 10 , , PUNCT fuelectenerg-3306 862 11 h(0 h(0 PROPN fuelectenerg-3306 862 12 , , PUNCT fuelectenerg-3306 862 13 2 2 NUM fuelectenerg-3306 862 14 ) ) PUNCT fuelectenerg-3306 862 15 , , PUNCT fuelectenerg-3306 862 16 h(0 h(0 PROPN fuelectenerg-3306 862 17 , , PUNCT fuelectenerg-3306 862 18 3 3 NUM fuelectenerg-3306 862 19 ) ) PUNCT fuelectenerg-3306 862 20 , , PUNCT fuelectenerg-3306 862 21 h(1 h(1 PROPN fuelectenerg-3306 862 22 , , PUNCT fuelectenerg-3306 862 23 1 1 NUM fuelectenerg-3306 862 24 ) ) PUNCT fuelectenerg-3306 862 25 , , PUNCT fuelectenerg-3306 862 26 h(1 h(1 PROPN fuelectenerg-3306 862 27 , , PUNCT fuelectenerg-3306 862 28 2 2 NUM fuelectenerg-3306 862 29 ) ) PUNCT fuelectenerg-3306 862 30 , , PUNCT fuelectenerg-3306 862 31 h(1 h(1 PROPN fuelectenerg-3306 862 32 , , PUNCT fuelectenerg-3306 862 33 3 3 NUM fuelectenerg-3306 862 34 ) ) PUNCT fuelectenerg-3306 862 35 , , PUNCT fuelectenerg-3306 862 36 h(2 h(2 NOUN fuelectenerg-3306 862 37 , , PUNCT fuelectenerg-3306 862 38 2 2 NUM fuelectenerg-3306 862 39 ) ) PUNCT fuelectenerg-3306 862 40 , , PUNCT fuelectenerg-3306 862 41 h(2 h(2 NOUN fuelectenerg-3306 862 42 , , PUNCT fuelectenerg-3306 862 43 3 3 NUM fuelectenerg-3306 862 44 ) ) PUNCT fuelectenerg-3306 862 45 , , PUNCT fuelectenerg-3306 862 46 and and CCONJ fuelectenerg-3306 862 47 h(3 h(3 PROPN fuelectenerg-3306 862 48 , , PUNCT fuelectenerg-3306 862 49 3 3 NUM fuelectenerg-3306 862 50 ) ) PUNCT fuelectenerg-3306 862 51 . . PUNCT fuelectenerg-3306 863 1 some some PRON fuelectenerg-3306 863 2 of of ADP fuelectenerg-3306 863 3 subsets subset NOUN fuelectenerg-3306 863 4 also also ADV fuelectenerg-3306 863 5 do do AUX fuelectenerg-3306 863 6 not not PART fuelectenerg-3306 863 7 contain contain VERB fuelectenerg-3306 863 8 any any PRON fuelectenerg-3306 863 9 of of ADP fuelectenerg-3306 863 10 the the DET fuelectenerg-3306 863 11 bent bent ADJ fuelectenerg-3306 863 12 functions function NOUN fuelectenerg-3306 863 13 . . PUNCT fuelectenerg-3306 864 1 example example NOUN fuelectenerg-3306 864 2 7 7 NUM fuelectenerg-3306 864 3 two two NUM fuelectenerg-3306 864 4 bent bent ADJ fuelectenerg-3306 864 5 functions function NOUN fuelectenerg-3306 864 6 of of ADP fuelectenerg-3306 864 7 4 4 NUM fuelectenerg-3306 864 8 variables variable NOUN fuelectenerg-3306 864 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 864 10 , , PUNCT fuelectenerg-3306 864 11 x2 x2 PROPN fuelectenerg-3306 864 12 , , PUNCT fuelectenerg-3306 864 13 x3 x3 ADJ fuelectenerg-3306 864 14 , , PUNCT fuelectenerg-3306 864 15 x4 x4 PROPN fuelectenerg-3306 864 16 ) ) PUNCT fuelectenerg-3306 864 17 = = PUNCT fuelectenerg-3306 865 1 x1x2 x1x2 PROPN fuelectenerg-3306 865 2 ⊕ ⊕ PROPN fuelectenerg-3306 865 3 x2x4 x2x4 PUNCT fuelectenerg-3306 865 4 ⊕ ⊕ PROPN fuelectenerg-3306 865 5 x3x4 x3x4 ADP fuelectenerg-3306 865 6 , , PUNCT fuelectenerg-3306 865 7 and and CCONJ fuelectenerg-3306 865 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 865 9 , , PUNCT fuelectenerg-3306 865 10 x2 x2 PROPN fuelectenerg-3306 865 11 , , PUNCT fuelectenerg-3306 865 12 x3 x3 ADJ fuelectenerg-3306 865 13 , , PUNCT fuelectenerg-3306 865 14 x4 x4 PROPN fuelectenerg-3306 865 15 ) ) PUNCT fuelectenerg-3306 865 16 = = SYM fuelectenerg-3306 866 1 x1x3 x1x3 PROPN fuelectenerg-3306 866 2 ⊕ ⊕ PROPN fuelectenerg-3306 866 3 x2x4 x2x4 X fuelectenerg-3306 866 4 have have VERB fuelectenerg-3306 866 5 only only ADV fuelectenerg-3306 866 6 second second ADJ fuelectenerg-3306 866 7 order order NOUN fuelectenerg-3306 866 8 non non ADJ fuelectenerg-3306 866 9 - - ADJ fuelectenerg-3306 866 10 zero zero NUM fuelectenerg-3306 866 11 rm rm NOUN fuelectenerg-3306 866 12 - - PUNCT fuelectenerg-3306 866 13 coefficients coefficient NOUN fuelectenerg-3306 866 14 and and CCONJ fuelectenerg-3306 866 15 belong belong VERB fuelectenerg-3306 866 16 to to ADP fuelectenerg-3306 866 17 the the DET fuelectenerg-3306 866 18 same same ADJ fuelectenerg-3306 866 19 subset subset NOUN fuelectenerg-3306 866 20 h(2 h(2 NOUN fuelectenerg-3306 866 21 , , PUNCT fuelectenerg-3306 866 22 2 2 NUM fuelectenerg-3306 866 23 ) ) PUNCT fuelectenerg-3306 866 24 . . PUNCT fuelectenerg-3306 867 1 3.3 3.3 NUM fuelectenerg-3306 867 2 grid grid NOUN fuelectenerg-3306 867 3 subset subset NOUN fuelectenerg-3306 867 4 in in ADP fuelectenerg-3306 867 5 definition definition NOUN fuelectenerg-3306 867 6 of of ADP fuelectenerg-3306 867 7 this this DET fuelectenerg-3306 867 8 subset subset NOUN fuelectenerg-3306 867 9 , , PUNCT fuelectenerg-3306 867 10 we we PRON fuelectenerg-3306 867 11 take take VERB fuelectenerg-3306 867 12 into into ADP fuelectenerg-3306 867 13 account account NOUN fuelectenerg-3306 867 14 both both PRON fuelectenerg-3306 867 15 , , PUNCT fuelectenerg-3306 867 16 the the DET fuelectenerg-3306 867 17 orders order NOUN fuelectenerg-3306 867 18 and and CCONJ fuelectenerg-3306 867 19 the the DET fuelectenerg-3306 867 20 number number NOUN fuelectenerg-3306 867 21 of of ADP fuelectenerg-3306 867 22 the the DET fuelectenerg-3306 867 23 coefficients coefficient NOUN fuelectenerg-3306 867 24 . . PUNCT fuelectenerg-3306 868 1 definition definition NOUN fuelectenerg-3306 868 2 7 7 NUM fuelectenerg-3306 868 3 a a DET fuelectenerg-3306 868 4 bent bent ADJ fuelectenerg-3306 868 5 function function NOUN fuelectenerg-3306 868 6 belongs belong VERB fuelectenerg-3306 868 7 to to ADP fuelectenerg-3306 868 8 the the DET fuelectenerg-3306 868 9 grid grid NOUN fuelectenerg-3306 868 10 ( ( PUNCT fuelectenerg-3306 868 11 k k PROPN fuelectenerg-3306 868 12 , , PUNCT fuelectenerg-3306 868 13 kmin kmin NOUN fuelectenerg-3306 868 14 , , PUNCT fuelectenerg-3306 868 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 868 16 g(k g(k PROPN fuelectenerg-3306 868 17 , , PUNCT fuelectenerg-3306 868 18 kmin kmin NOUN fuelectenerg-3306 868 19 , , PUNCT fuelectenerg-3306 868 20 kmax kmax PROPN fuelectenerg-3306 868 21 ) ) PUNCT fuelectenerg-3306 868 22 iff iff NOUN fuelectenerg-3306 868 23 it it PRON fuelectenerg-3306 868 24 has have VERB fuelectenerg-3306 868 25 k k PROPN fuelectenerg-3306 868 26 non non ADJ fuelectenerg-3306 868 27 - - ADJ fuelectenerg-3306 868 28 zero zero NUM fuelectenerg-3306 868 29 rm rm NOUN fuelectenerg-3306 868 30 - - PUNCT fuelectenerg-3306 868 31 coefficients coefficient NOUN fuelectenerg-3306 868 32 and and CCONJ fuelectenerg-3306 868 33 minimum minimum ADJ fuelectenerg-3306 868 34 order order NOUN fuelectenerg-3306 868 35 of of ADP fuelectenerg-3306 868 36 rm rm PROPN fuelectenerg-3306 868 37 coefficients coefficient NOUN fuelectenerg-3306 868 38 kmin kmin NOUN fuelectenerg-3306 868 39 and and CCONJ fuelectenerg-3306 868 40 maximum maximum ADJ fuelectenerg-3306 868 41 order order NOUN fuelectenerg-3306 868 42 kmax kmax NOUN fuelectenerg-3306 868 43 . . PUNCT fuelectenerg-3306 869 1 the the DET fuelectenerg-3306 869 2 g g PROPN fuelectenerg-3306 869 3 subsets subset NOUN fuelectenerg-3306 869 4 of of ADP fuelectenerg-3306 869 5 bent bent ADJ fuelectenerg-3306 869 6 functions function NOUN fuelectenerg-3306 869 7 are be AUX fuelectenerg-3306 869 8 the the DET fuelectenerg-3306 869 9 intersection intersection NOUN fuelectenerg-3306 869 10 of of ADP fuelectenerg-3306 869 11 v v NOUN fuelectenerg-3306 869 12 and and CCONJ fuelectenerg-3306 869 13 h h NOUN fuelectenerg-3306 869 14 subsets subset NOUN fuelectenerg-3306 869 15 . . PUNCT fuelectenerg-3306 870 1 number number NOUN fuelectenerg-3306 870 2 of of ADP fuelectenerg-3306 870 3 g g PROPN fuelectenerg-3306 870 4 subsets subset NOUN fuelectenerg-3306 870 5 also also ADV fuelectenerg-3306 870 6 depends depend VERB fuelectenerg-3306 870 7 of of ADP fuelectenerg-3306 870 8 the the DET fuelectenerg-3306 870 9 number number NOUN fuelectenerg-3306 870 10 of of ADP fuelectenerg-3306 870 11 variables variable NOUN fuelectenerg-3306 870 12 of of ADP fuelectenerg-3306 870 13 the the DET fuelectenerg-3306 870 14 bent bent ADJ fuelectenerg-3306 870 15 functions function NOUN fuelectenerg-3306 870 16 . . PUNCT fuelectenerg-3306 871 1 for for ADP fuelectenerg-3306 871 2 example example NOUN fuelectenerg-3306 871 3 , , PUNCT fuelectenerg-3306 871 4 there there PRON fuelectenerg-3306 871 5 are be VERB fuelectenerg-3306 871 6 many many ADJ fuelectenerg-3306 871 7 g g NOUN fuelectenerg-3306 871 8 subsets subset NOUN fuelectenerg-3306 871 9 for for ADP fuelectenerg-3306 871 10 bent bent ADJ fuelectenerg-3306 871 11 functions function NOUN fuelectenerg-3306 871 12 with with ADP fuelectenerg-3306 871 13 4 4 NUM fuelectenerg-3306 871 14 variables variable NOUN fuelectenerg-3306 871 15 : : PUNCT fuelectenerg-3306 871 16 v v X fuelectenerg-3306 871 17 ( ( PUNCT fuelectenerg-3306 871 18 1 1 NUM fuelectenerg-3306 871 19 , , PUNCT fuelectenerg-3306 871 20 0 0 NUM fuelectenerg-3306 871 21 , , PUNCT fuelectenerg-3306 871 22 0 0 NUM fuelectenerg-3306 871 23 ) ) PUNCT fuelectenerg-3306 871 24 , , PUNCT fuelectenerg-3306 871 25 h(1 h(1 PROPN fuelectenerg-3306 871 26 , , PUNCT fuelectenerg-3306 871 27 0 0 NUM fuelectenerg-3306 871 28 , , PUNCT fuelectenerg-3306 871 29 1 1 NUM fuelectenerg-3306 871 30 ) ) PUNCT fuelectenerg-3306 871 31 , , PUNCT fuelectenerg-3306 871 32 ... ... PUNCT fuelectenerg-3306 871 33 , , PUNCT fuelectenerg-3306 871 34 h(6 h(6 PROPN fuelectenerg-3306 871 35 , , PUNCT fuelectenerg-3306 871 36 2 2 NUM fuelectenerg-3306 871 37 , , PUNCT fuelectenerg-3306 871 38 2 2 NUM fuelectenerg-3306 871 39 ) ) PUNCT fuelectenerg-3306 871 40 . . PUNCT fuelectenerg-3306 872 1 there there PRON fuelectenerg-3306 872 2 are be VERB fuelectenerg-3306 872 3 also also ADV fuelectenerg-3306 872 4 many many ADJ fuelectenerg-3306 872 5 subsets subset NOUN fuelectenerg-3306 872 6 that that PRON fuelectenerg-3306 872 7 do do AUX fuelectenerg-3306 872 8 not not PART fuelectenerg-3306 872 9 contain contain VERB fuelectenerg-3306 872 10 any any PRON fuelectenerg-3306 872 11 of of ADP fuelectenerg-3306 872 12 the the DET fuelectenerg-3306 872 13 bent bent ADJ fuelectenerg-3306 872 14 functions function NOUN fuelectenerg-3306 872 15 . . PUNCT fuelectenerg-3306 873 1 example example NOUN fuelectenerg-3306 873 2 8 8 NUM fuelectenerg-3306 873 3 two two NUM fuelectenerg-3306 873 4 bent bent ADJ fuelectenerg-3306 873 5 functions function NOUN fuelectenerg-3306 873 6 of of ADP fuelectenerg-3306 873 7 4 4 NUM fuelectenerg-3306 873 8 variables variable NOUN fuelectenerg-3306 873 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 873 10 , , PUNCT fuelectenerg-3306 873 11 x2 x2 PROPN fuelectenerg-3306 873 12 , , PUNCT fuelectenerg-3306 873 13 x3 x3 ADJ fuelectenerg-3306 873 14 , , PUNCT fuelectenerg-3306 873 15 x4 x4 PROPN fuelectenerg-3306 873 16 ) ) PUNCT fuelectenerg-3306 873 17 = = SYM fuelectenerg-3306 874 1 x1x2 x1x2 PROPN fuelectenerg-3306 874 2 ⊕ ⊕ PROPN fuelectenerg-3306 874 3 x3x4 x3x4 ADP fuelectenerg-3306 874 4 , , PUNCT fuelectenerg-3306 874 5 and and CCONJ fuelectenerg-3306 874 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 874 7 , , PUNCT fuelectenerg-3306 874 8 x2 x2 PROPN fuelectenerg-3306 874 9 , , PUNCT fuelectenerg-3306 874 10 x3 x3 ADJ fuelectenerg-3306 874 11 , , PUNCT fuelectenerg-3306 874 12 x4 x4 PROPN fuelectenerg-3306 874 13 ) ) PUNCT fuelectenerg-3306 874 14 = = SYM fuelectenerg-3306 875 1 x1x3 x1x3 PROPN fuelectenerg-3306 875 2 ⊕ ⊕ PROPN fuelectenerg-3306 875 3 x2x4 x2x4 X fuelectenerg-3306 875 4 have have VERB fuelectenerg-3306 875 5 only only ADV fuelectenerg-3306 875 6 2 2 NUM fuelectenerg-3306 875 7 and and CCONJ fuelectenerg-3306 875 8 second second ADJ fuelectenerg-3306 875 9 order order NOUN fuelectenerg-3306 875 10 non non ADJ fuelectenerg-3306 875 11 - - ADJ fuelectenerg-3306 875 12 zero zero NUM fuelectenerg-3306 875 13 rm rm NOUN fuelectenerg-3306 875 14 - - PUNCT fuelectenerg-3306 875 15 coefficients coefficient NOUN fuelectenerg-3306 875 16 and and CCONJ fuelectenerg-3306 875 17 belong belong VERB fuelectenerg-3306 875 18 to to ADP fuelectenerg-3306 875 19 the the DET fuelectenerg-3306 875 20 same same ADJ fuelectenerg-3306 875 21 subset subset NOUN fuelectenerg-3306 875 22 g(2 g(2 PROPN fuelectenerg-3306 875 23 , , PUNCT fuelectenerg-3306 875 24 2 2 NUM fuelectenerg-3306 875 25 , , PUNCT fuelectenerg-3306 875 26 2 2 NUM fuelectenerg-3306 875 27 ) ) PUNCT fuelectenerg-3306 875 28 . . PUNCT fuelectenerg-3306 876 1 it it PRON fuelectenerg-3306 876 2 should should AUX fuelectenerg-3306 876 3 be be AUX fuelectenerg-3306 876 4 noticed notice VERB fuelectenerg-3306 876 5 that that SCONJ fuelectenerg-3306 876 6 there there PRON fuelectenerg-3306 876 7 are be VERB fuelectenerg-3306 876 8 bent bent ADJ fuelectenerg-3306 876 9 functions function NOUN fuelectenerg-3306 876 10 that that PRON fuelectenerg-3306 876 11 do do AUX fuelectenerg-3306 876 12 not not PART fuelectenerg-3306 876 13 belongs belong VERB fuelectenerg-3306 876 14 to to ADP fuelectenerg-3306 876 15 any any PRON fuelectenerg-3306 876 16 of of ADP fuelectenerg-3306 876 17 g g PROPN fuelectenerg-3306 876 18 subsets subset NOUN fuelectenerg-3306 876 19 . . PUNCT fuelectenerg-3306 877 1 4 4 NUM fuelectenerg-3306 877 2 experimental experimental ADJ fuelectenerg-3306 877 3 results result NOUN fuelectenerg-3306 877 4 in in ADP fuelectenerg-3306 877 5 this this DET fuelectenerg-3306 877 6 section section NOUN fuelectenerg-3306 877 7 , , PUNCT fuelectenerg-3306 877 8 we we PRON fuelectenerg-3306 877 9 made make VERB fuelectenerg-3306 877 10 enumeration enumeration NOUN fuelectenerg-3306 877 11 of of ADP fuelectenerg-3306 877 12 bent bent ADJ fuelectenerg-3306 877 13 functions function NOUN fuelectenerg-3306 877 14 in in ADP fuelectenerg-3306 877 15 some some DET fuelectenerg-3306 877 16 vertical vertical ADJ fuelectenerg-3306 877 17 , , PUNCT fuelectenerg-3306 877 18 horizontal horizontal ADJ fuelectenerg-3306 877 19 and and CCONJ fuelectenerg-3306 877 20 grid grid NOUN fuelectenerg-3306 877 21 subsets subset NOUN fuelectenerg-3306 877 22 for for ADP fuelectenerg-3306 877 23 functions function NOUN fuelectenerg-3306 877 24 with with ADP fuelectenerg-3306 877 25 4 4 NUM fuelectenerg-3306 877 26 , , PUNCT fuelectenerg-3306 877 27 6 6 NUM fuelectenerg-3306 877 28 , , PUNCT fuelectenerg-3306 877 29 and and CCONJ fuelectenerg-3306 877 30 8 8 NUM fuelectenerg-3306 877 31 variables variable NOUN fuelectenerg-3306 877 32 . . PUNCT fuelectenerg-3306 878 1 there there PRON fuelectenerg-3306 878 2 are be VERB fuelectenerg-3306 878 3 two two NUM fuelectenerg-3306 878 4 types type NOUN fuelectenerg-3306 878 5 of of ADP fuelectenerg-3306 878 6 methods method NOUN fuelectenerg-3306 878 7 for for ADP fuelectenerg-3306 878 8 enumerations enumeration NOUN fuelectenerg-3306 878 9 of of ADP fuelectenerg-3306 878 10 bent bent ADJ fuelectenerg-3306 878 11 functions function NOUN fuelectenerg-3306 878 12 , , PUNCT fuelectenerg-3306 878 13 primary primary ADJ fuelectenerg-3306 878 14 and and CCONJ fuelectenerg-3306 878 15 secondary secondary ADJ fuelectenerg-3306 878 16 . . PUNCT fuelectenerg-3306 879 1 the the DET fuelectenerg-3306 879 2 primary primary ADJ fuelectenerg-3306 879 3 methods method NOUN fuelectenerg-3306 879 4 are be AUX fuelectenerg-3306 879 5 based base VERB fuelectenerg-3306 879 6 on on ADP fuelectenerg-3306 879 7 the the DET fuelectenerg-3306 879 8 direct direct ADJ fuelectenerg-3306 879 9 enumeration enumeration NOUN fuelectenerg-3306 879 10 in in ADP fuelectenerg-3306 879 11 the the DET fuelectenerg-3306 879 12 boolean boolean ADJ fuelectenerg-3306 879 13 domain domain NOUN fuelectenerg-3306 879 14 . . PUNCT fuelectenerg-3306 880 1 the the DET fuelectenerg-3306 880 2 secondary secondary ADJ fuelectenerg-3306 880 3 methods method NOUN fuelectenerg-3306 880 4 are be AUX fuelectenerg-3306 880 5 based base VERB fuelectenerg-3306 880 6 on on ADP fuelectenerg-3306 880 7 construction construction NOUN fuelectenerg-3306 880 8 of of ADP fuelectenerg-3306 880 9 subsets subset NOUN fuelectenerg-3306 880 10 of of ADP fuelectenerg-3306 880 11 bent bent ADJ fuelectenerg-3306 880 12 functions function NOUN fuelectenerg-3306 880 13 satisfying satisfy VERB fuelectenerg-3306 880 14 restrictions restriction NOUN fuelectenerg-3306 880 15 ... ... PUNCT fuelectenerg-3306 880 16 9 9 NUM fuelectenerg-3306 880 17 h(1 h(1 NOUN fuelectenerg-3306 880 18 , , PUNCT fuelectenerg-3306 880 19 2 2 NUM fuelectenerg-3306 880 20 ) ) PUNCT fuelectenerg-3306 880 21 , , PUNCT fuelectenerg-3306 880 22 and and CCONJ fuelectenerg-3306 880 23 h(2 h(2 NOUN fuelectenerg-3306 880 24 , , PUNCT fuelectenerg-3306 880 25 2 2 NUM fuelectenerg-3306 880 26 ) ) PUNCT fuelectenerg-3306 880 27 . . PUNCT fuelectenerg-3306 881 1 there there PRON fuelectenerg-3306 881 2 are be VERB fuelectenerg-3306 881 3 h h PROPN fuelectenerg-3306 881 4 subsets subset NOUN fuelectenerg-3306 881 5 h(0 h(0 PROPN fuelectenerg-3306 881 6 , , PUNCT fuelectenerg-3306 881 7 0 0 NUM fuelectenerg-3306 881 8 ) ) PUNCT fuelectenerg-3306 881 9 , , PUNCT fuelectenerg-3306 881 10 h(0 h(0 PROPN fuelectenerg-3306 881 11 , , PUNCT fuelectenerg-3306 881 12 1 1 NUM fuelectenerg-3306 881 13 ) ) PUNCT fuelectenerg-3306 881 14 , , PUNCT fuelectenerg-3306 881 15 and and CCONJ fuelectenerg-3306 881 16 h(1 h(1 PROPN fuelectenerg-3306 881 17 , , PUNCT fuelectenerg-3306 881 18 1 1 NUM fuelectenerg-3306 881 19 ) ) PUNCT fuelectenerg-3306 881 20 , , PUNCT fuelectenerg-3306 881 21 that that PRON fuelectenerg-3306 881 22 do do AUX fuelectenerg-3306 881 23 not not PART fuelectenerg-3306 881 24 contain contain VERB fuelectenerg-3306 881 25 any any PRON fuelectenerg-3306 881 26 of of ADP fuelectenerg-3306 881 27 the the DET fuelectenerg-3306 881 28 bent bent ADJ fuelectenerg-3306 881 29 functions function NOUN fuelectenerg-3306 881 30 . . PUNCT fuelectenerg-3306 882 1 example example NOUN fuelectenerg-3306 882 2 6 6 NUM fuelectenerg-3306 882 3 for for ADP fuelectenerg-3306 882 4 bent bent ADJ fuelectenerg-3306 882 5 functions function NOUN fuelectenerg-3306 882 6 with with ADP fuelectenerg-3306 882 7 6 6 NUM fuelectenerg-3306 882 8 variables variable NOUN fuelectenerg-3306 882 9 , , PUNCT fuelectenerg-3306 882 10 there there PRON fuelectenerg-3306 882 11 are be VERB fuelectenerg-3306 882 12 10 10 NUM fuelectenerg-3306 882 13 possible possible ADJ fuelectenerg-3306 882 14 h h NOUN fuelectenerg-3306 882 15 subsets subset NOUN fuelectenerg-3306 882 16 : : PUNCT fuelectenerg-3306 883 1 h(0 h(0 NOUN fuelectenerg-3306 883 2 , , PUNCT fuelectenerg-3306 883 3 0 0 NUM fuelectenerg-3306 883 4 ) ) PUNCT fuelectenerg-3306 883 5 , , PUNCT fuelectenerg-3306 883 6 h(0 h(0 PROPN fuelectenerg-3306 883 7 , , PUNCT fuelectenerg-3306 883 8 1 1 NUM fuelectenerg-3306 883 9 ) ) PUNCT fuelectenerg-3306 883 10 , , PUNCT fuelectenerg-3306 883 11 h(0 h(0 PROPN fuelectenerg-3306 883 12 , , PUNCT fuelectenerg-3306 883 13 2 2 NUM fuelectenerg-3306 883 14 ) ) PUNCT fuelectenerg-3306 883 15 , , PUNCT fuelectenerg-3306 883 16 h(0 h(0 PROPN fuelectenerg-3306 883 17 , , PUNCT fuelectenerg-3306 883 18 3 3 NUM fuelectenerg-3306 883 19 ) ) PUNCT fuelectenerg-3306 883 20 , , PUNCT fuelectenerg-3306 883 21 h(1 h(1 PROPN fuelectenerg-3306 883 22 , , PUNCT fuelectenerg-3306 883 23 1 1 NUM fuelectenerg-3306 883 24 ) ) PUNCT fuelectenerg-3306 883 25 , , PUNCT fuelectenerg-3306 883 26 h(1 h(1 PROPN fuelectenerg-3306 883 27 , , PUNCT fuelectenerg-3306 883 28 2 2 NUM fuelectenerg-3306 883 29 ) ) PUNCT fuelectenerg-3306 883 30 , , PUNCT fuelectenerg-3306 883 31 h(1 h(1 PROPN fuelectenerg-3306 883 32 , , PUNCT fuelectenerg-3306 883 33 3 3 NUM fuelectenerg-3306 883 34 ) ) PUNCT fuelectenerg-3306 883 35 , , PUNCT fuelectenerg-3306 883 36 h(2 h(2 NOUN fuelectenerg-3306 883 37 , , PUNCT fuelectenerg-3306 883 38 2 2 NUM fuelectenerg-3306 883 39 ) ) PUNCT fuelectenerg-3306 883 40 , , PUNCT fuelectenerg-3306 883 41 h(2 h(2 NOUN fuelectenerg-3306 883 42 , , PUNCT fuelectenerg-3306 883 43 3 3 NUM fuelectenerg-3306 883 44 ) ) PUNCT fuelectenerg-3306 883 45 , , PUNCT fuelectenerg-3306 883 46 and and CCONJ fuelectenerg-3306 883 47 h(3 h(3 PROPN fuelectenerg-3306 883 48 , , PUNCT fuelectenerg-3306 883 49 3 3 NUM fuelectenerg-3306 883 50 ) ) PUNCT fuelectenerg-3306 883 51 . . PUNCT fuelectenerg-3306 884 1 some some PRON fuelectenerg-3306 884 2 of of ADP fuelectenerg-3306 884 3 subsets subset NOUN fuelectenerg-3306 884 4 also also ADV fuelectenerg-3306 884 5 do do AUX fuelectenerg-3306 884 6 not not PART fuelectenerg-3306 884 7 contain contain VERB fuelectenerg-3306 884 8 any any PRON fuelectenerg-3306 884 9 of of ADP fuelectenerg-3306 884 10 the the DET fuelectenerg-3306 884 11 bent bent ADJ fuelectenerg-3306 884 12 functions function NOUN fuelectenerg-3306 884 13 . . PUNCT fuelectenerg-3306 885 1 example example NOUN fuelectenerg-3306 885 2 7 7 NUM fuelectenerg-3306 885 3 two two NUM fuelectenerg-3306 885 4 bent bent ADJ fuelectenerg-3306 885 5 functions function NOUN fuelectenerg-3306 885 6 of of ADP fuelectenerg-3306 885 7 4 4 NUM fuelectenerg-3306 885 8 variables variable NOUN fuelectenerg-3306 885 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 885 10 , , PUNCT fuelectenerg-3306 885 11 x2 x2 PROPN fuelectenerg-3306 885 12 , , PUNCT fuelectenerg-3306 885 13 x3 x3 ADJ fuelectenerg-3306 885 14 , , PUNCT fuelectenerg-3306 885 15 x4 x4 PROPN fuelectenerg-3306 885 16 ) ) PUNCT fuelectenerg-3306 885 17 = = PUNCT fuelectenerg-3306 886 1 x1x2 x1x2 PROPN fuelectenerg-3306 886 2 ⊕ ⊕ PROPN fuelectenerg-3306 886 3 x2x4 x2x4 PUNCT fuelectenerg-3306 886 4 ⊕ ⊕ PROPN fuelectenerg-3306 886 5 x3x4 x3x4 ADP fuelectenerg-3306 886 6 , , PUNCT fuelectenerg-3306 886 7 and and CCONJ fuelectenerg-3306 886 8 f2(x1 f2(x1 ADJ fuelectenerg-3306 886 9 , , PUNCT fuelectenerg-3306 886 10 x2 x2 PROPN fuelectenerg-3306 886 11 , , PUNCT fuelectenerg-3306 886 12 x3 x3 ADJ fuelectenerg-3306 886 13 , , PUNCT fuelectenerg-3306 886 14 x4 x4 PROPN fuelectenerg-3306 886 15 ) ) PUNCT fuelectenerg-3306 886 16 = = SYM fuelectenerg-3306 887 1 x1x3 x1x3 PROPN fuelectenerg-3306 887 2 ⊕ ⊕ PROPN fuelectenerg-3306 887 3 x2x4 x2x4 X fuelectenerg-3306 887 4 have have VERB fuelectenerg-3306 887 5 only only ADV fuelectenerg-3306 887 6 second second ADJ fuelectenerg-3306 887 7 order order NOUN fuelectenerg-3306 887 8 non non ADJ fuelectenerg-3306 887 9 - - ADJ fuelectenerg-3306 887 10 zero zero NUM fuelectenerg-3306 887 11 rm rm NOUN fuelectenerg-3306 887 12 - - PUNCT fuelectenerg-3306 887 13 coefficients coefficient NOUN fuelectenerg-3306 887 14 and and CCONJ fuelectenerg-3306 887 15 belong belong VERB fuelectenerg-3306 887 16 to to ADP fuelectenerg-3306 887 17 the the DET fuelectenerg-3306 887 18 same same ADJ fuelectenerg-3306 887 19 subset subset NOUN fuelectenerg-3306 887 20 h(2 h(2 NOUN fuelectenerg-3306 887 21 , , PUNCT fuelectenerg-3306 887 22 2 2 NUM fuelectenerg-3306 887 23 ) ) PUNCT fuelectenerg-3306 887 24 . . PUNCT fuelectenerg-3306 888 1 3.3 3.3 NUM fuelectenerg-3306 888 2 grid grid NOUN fuelectenerg-3306 888 3 subset subset NOUN fuelectenerg-3306 888 4 in in ADP fuelectenerg-3306 888 5 definition definition NOUN fuelectenerg-3306 888 6 of of ADP fuelectenerg-3306 888 7 this this DET fuelectenerg-3306 888 8 subset subset NOUN fuelectenerg-3306 888 9 , , PUNCT fuelectenerg-3306 888 10 we we PRON fuelectenerg-3306 888 11 take take VERB fuelectenerg-3306 888 12 into into ADP fuelectenerg-3306 888 13 account account NOUN fuelectenerg-3306 888 14 both both PRON fuelectenerg-3306 888 15 , , PUNCT fuelectenerg-3306 888 16 the the DET fuelectenerg-3306 888 17 orders order NOUN fuelectenerg-3306 888 18 and and CCONJ fuelectenerg-3306 888 19 the the DET fuelectenerg-3306 888 20 number number NOUN fuelectenerg-3306 888 21 of of ADP fuelectenerg-3306 888 22 the the DET fuelectenerg-3306 888 23 coefficients coefficient NOUN fuelectenerg-3306 888 24 . . PUNCT fuelectenerg-3306 889 1 definition definition NOUN fuelectenerg-3306 889 2 7 7 NUM fuelectenerg-3306 889 3 a a DET fuelectenerg-3306 889 4 bent bent ADJ fuelectenerg-3306 889 5 function function NOUN fuelectenerg-3306 889 6 belongs belong VERB fuelectenerg-3306 889 7 to to ADP fuelectenerg-3306 889 8 the the DET fuelectenerg-3306 889 9 grid grid NOUN fuelectenerg-3306 889 10 ( ( PUNCT fuelectenerg-3306 889 11 k k PROPN fuelectenerg-3306 889 12 , , PUNCT fuelectenerg-3306 889 13 kmin kmin NOUN fuelectenerg-3306 889 14 , , PUNCT fuelectenerg-3306 889 15 kmax)-subset kmax)-subset PROPN fuelectenerg-3306 889 16 g(k g(k PROPN fuelectenerg-3306 889 17 , , PUNCT fuelectenerg-3306 889 18 kmin kmin NOUN fuelectenerg-3306 889 19 , , PUNCT fuelectenerg-3306 889 20 kmax kmax PROPN fuelectenerg-3306 889 21 ) ) PUNCT fuelectenerg-3306 889 22 iff iff NOUN fuelectenerg-3306 889 23 it it PRON fuelectenerg-3306 889 24 has have VERB fuelectenerg-3306 889 25 k k PROPN fuelectenerg-3306 889 26 non non ADJ fuelectenerg-3306 889 27 - - ADJ fuelectenerg-3306 889 28 zero zero NUM fuelectenerg-3306 889 29 rm rm NOUN fuelectenerg-3306 889 30 - - PUNCT fuelectenerg-3306 889 31 coefficients coefficient NOUN fuelectenerg-3306 889 32 and and CCONJ fuelectenerg-3306 889 33 minimum minimum ADJ fuelectenerg-3306 889 34 order order NOUN fuelectenerg-3306 889 35 of of ADP fuelectenerg-3306 889 36 rm rm PROPN fuelectenerg-3306 889 37 coefficients coefficient NOUN fuelectenerg-3306 889 38 kmin kmin NOUN fuelectenerg-3306 889 39 and and CCONJ fuelectenerg-3306 889 40 maximum maximum ADJ fuelectenerg-3306 889 41 order order NOUN fuelectenerg-3306 889 42 kmax kmax NOUN fuelectenerg-3306 889 43 . . PUNCT fuelectenerg-3306 890 1 the the DET fuelectenerg-3306 890 2 g g PROPN fuelectenerg-3306 890 3 subsets subset NOUN fuelectenerg-3306 890 4 of of ADP fuelectenerg-3306 890 5 bent bent ADJ fuelectenerg-3306 890 6 functions function NOUN fuelectenerg-3306 890 7 are be AUX fuelectenerg-3306 890 8 the the DET fuelectenerg-3306 890 9 intersection intersection NOUN fuelectenerg-3306 890 10 of of ADP fuelectenerg-3306 890 11 v v NOUN fuelectenerg-3306 890 12 and and CCONJ fuelectenerg-3306 890 13 h h NOUN fuelectenerg-3306 890 14 subsets subset NOUN fuelectenerg-3306 890 15 . . PUNCT fuelectenerg-3306 891 1 number number NOUN fuelectenerg-3306 891 2 of of ADP fuelectenerg-3306 891 3 g g PROPN fuelectenerg-3306 891 4 subsets subset NOUN fuelectenerg-3306 891 5 also also ADV fuelectenerg-3306 891 6 depends depend VERB fuelectenerg-3306 891 7 of of ADP fuelectenerg-3306 891 8 the the DET fuelectenerg-3306 891 9 number number NOUN fuelectenerg-3306 891 10 of of ADP fuelectenerg-3306 891 11 variables variable NOUN fuelectenerg-3306 891 12 of of ADP fuelectenerg-3306 891 13 the the DET fuelectenerg-3306 891 14 bent bent ADJ fuelectenerg-3306 891 15 functions function NOUN fuelectenerg-3306 891 16 . . PUNCT fuelectenerg-3306 892 1 for for ADP fuelectenerg-3306 892 2 example example NOUN fuelectenerg-3306 892 3 , , PUNCT fuelectenerg-3306 892 4 there there PRON fuelectenerg-3306 892 5 are be VERB fuelectenerg-3306 892 6 many many ADJ fuelectenerg-3306 892 7 g g NOUN fuelectenerg-3306 892 8 subsets subset NOUN fuelectenerg-3306 892 9 for for ADP fuelectenerg-3306 892 10 bent bent ADJ fuelectenerg-3306 892 11 functions function NOUN fuelectenerg-3306 892 12 with with ADP fuelectenerg-3306 892 13 4 4 NUM fuelectenerg-3306 892 14 variables variable NOUN fuelectenerg-3306 892 15 : : PUNCT fuelectenerg-3306 892 16 v v X fuelectenerg-3306 892 17 ( ( PUNCT fuelectenerg-3306 892 18 1 1 NUM fuelectenerg-3306 892 19 , , PUNCT fuelectenerg-3306 892 20 0 0 NUM fuelectenerg-3306 892 21 , , PUNCT fuelectenerg-3306 892 22 0 0 NUM fuelectenerg-3306 892 23 ) ) PUNCT fuelectenerg-3306 892 24 , , PUNCT fuelectenerg-3306 892 25 h(1 h(1 PROPN fuelectenerg-3306 892 26 , , PUNCT fuelectenerg-3306 892 27 0 0 NUM fuelectenerg-3306 892 28 , , PUNCT fuelectenerg-3306 892 29 1 1 NUM fuelectenerg-3306 892 30 ) ) PUNCT fuelectenerg-3306 892 31 , , PUNCT fuelectenerg-3306 892 32 ... ... PUNCT fuelectenerg-3306 892 33 , , PUNCT fuelectenerg-3306 892 34 h(6 h(6 PROPN fuelectenerg-3306 892 35 , , PUNCT fuelectenerg-3306 892 36 2 2 NUM fuelectenerg-3306 892 37 , , PUNCT fuelectenerg-3306 892 38 2 2 NUM fuelectenerg-3306 892 39 ) ) PUNCT fuelectenerg-3306 892 40 . . PUNCT fuelectenerg-3306 893 1 there there PRON fuelectenerg-3306 893 2 are be VERB fuelectenerg-3306 893 3 also also ADV fuelectenerg-3306 893 4 many many ADJ fuelectenerg-3306 893 5 subsets subset NOUN fuelectenerg-3306 893 6 that that PRON fuelectenerg-3306 893 7 do do AUX fuelectenerg-3306 893 8 not not PART fuelectenerg-3306 893 9 contain contain VERB fuelectenerg-3306 893 10 any any PRON fuelectenerg-3306 893 11 of of ADP fuelectenerg-3306 893 12 the the DET fuelectenerg-3306 893 13 bent bent ADJ fuelectenerg-3306 893 14 functions function NOUN fuelectenerg-3306 893 15 . . PUNCT fuelectenerg-3306 894 1 example example NOUN fuelectenerg-3306 894 2 8 8 NUM fuelectenerg-3306 894 3 two two NUM fuelectenerg-3306 894 4 bent bent ADJ fuelectenerg-3306 894 5 functions function NOUN fuelectenerg-3306 894 6 of of ADP fuelectenerg-3306 894 7 4 4 NUM fuelectenerg-3306 894 8 variables variable NOUN fuelectenerg-3306 894 9 f1(x1 f1(x1 NOUN fuelectenerg-3306 894 10 , , PUNCT fuelectenerg-3306 894 11 x2 x2 PROPN fuelectenerg-3306 894 12 , , PUNCT fuelectenerg-3306 894 13 x3 x3 ADJ fuelectenerg-3306 894 14 , , PUNCT fuelectenerg-3306 894 15 x4 x4 PROPN fuelectenerg-3306 894 16 ) ) PUNCT fuelectenerg-3306 894 17 = = SYM fuelectenerg-3306 895 1 x1x2 x1x2 PROPN fuelectenerg-3306 895 2 ⊕ ⊕ PROPN fuelectenerg-3306 895 3 x3x4 x3x4 ADP fuelectenerg-3306 895 4 , , PUNCT fuelectenerg-3306 895 5 and and CCONJ fuelectenerg-3306 895 6 f2(x1 f2(x1 ADJ fuelectenerg-3306 895 7 , , PUNCT fuelectenerg-3306 895 8 x2 x2 PROPN fuelectenerg-3306 895 9 , , PUNCT fuelectenerg-3306 895 10 x3 x3 ADJ fuelectenerg-3306 895 11 , , PUNCT fuelectenerg-3306 895 12 x4 x4 PROPN fuelectenerg-3306 895 13 ) ) PUNCT fuelectenerg-3306 895 14 = = SYM fuelectenerg-3306 896 1 x1x3 x1x3 PROPN fuelectenerg-3306 896 2 ⊕ ⊕ PROPN fuelectenerg-3306 896 3 x2x4 x2x4 X fuelectenerg-3306 896 4 have have VERB fuelectenerg-3306 896 5 only only ADV fuelectenerg-3306 896 6 2 2 NUM fuelectenerg-3306 896 7 and and CCONJ fuelectenerg-3306 896 8 second second ADJ fuelectenerg-3306 896 9 order order NOUN fuelectenerg-3306 896 10 non non ADJ fuelectenerg-3306 896 11 - - ADJ fuelectenerg-3306 896 12 zero zero NUM fuelectenerg-3306 896 13 rm rm NOUN fuelectenerg-3306 896 14 - - PUNCT fuelectenerg-3306 896 15 coefficients coefficient NOUN fuelectenerg-3306 896 16 and and CCONJ fuelectenerg-3306 896 17 belong belong VERB fuelectenerg-3306 896 18 to to ADP fuelectenerg-3306 896 19 the the DET fuelectenerg-3306 896 20 same same ADJ fuelectenerg-3306 896 21 subset subset NOUN fuelectenerg-3306 896 22 g(2 g(2 PROPN fuelectenerg-3306 896 23 , , PUNCT fuelectenerg-3306 896 24 2 2 NUM fuelectenerg-3306 896 25 , , PUNCT fuelectenerg-3306 896 26 2 2 NUM fuelectenerg-3306 896 27 ) ) PUNCT fuelectenerg-3306 896 28 . . PUNCT fuelectenerg-3306 897 1 it it PRON fuelectenerg-3306 897 2 should should AUX fuelectenerg-3306 897 3 be be AUX fuelectenerg-3306 897 4 noticed notice VERB fuelectenerg-3306 897 5 that that SCONJ fuelectenerg-3306 897 6 there there PRON fuelectenerg-3306 897 7 are be VERB fuelectenerg-3306 897 8 bent bent ADJ fuelectenerg-3306 897 9 functions function NOUN fuelectenerg-3306 897 10 that that PRON fuelectenerg-3306 897 11 do do AUX fuelectenerg-3306 897 12 not not PART fuelectenerg-3306 897 13 belongs belong VERB fuelectenerg-3306 897 14 to to ADP fuelectenerg-3306 897 15 any any PRON fuelectenerg-3306 897 16 of of ADP fuelectenerg-3306 897 17 g g PROPN fuelectenerg-3306 897 18 subsets subset NOUN fuelectenerg-3306 897 19 . . PUNCT fuelectenerg-3306 898 1 4 4 NUM fuelectenerg-3306 898 2 experimental experimental ADJ fuelectenerg-3306 898 3 results result NOUN fuelectenerg-3306 898 4 in in ADP fuelectenerg-3306 898 5 this this DET fuelectenerg-3306 898 6 section section NOUN fuelectenerg-3306 898 7 , , PUNCT fuelectenerg-3306 898 8 we we PRON fuelectenerg-3306 898 9 made make VERB fuelectenerg-3306 898 10 enumeration enumeration NOUN fuelectenerg-3306 898 11 of of ADP fuelectenerg-3306 898 12 bent bent ADJ fuelectenerg-3306 898 13 functions function NOUN fuelectenerg-3306 898 14 in in ADP fuelectenerg-3306 898 15 some some DET fuelectenerg-3306 898 16 vertical vertical ADJ fuelectenerg-3306 898 17 , , PUNCT fuelectenerg-3306 898 18 horizontal horizontal ADJ fuelectenerg-3306 898 19 and and CCONJ fuelectenerg-3306 898 20 grid grid NOUN fuelectenerg-3306 898 21 subsets subset NOUN fuelectenerg-3306 898 22 for for ADP fuelectenerg-3306 898 23 functions function NOUN fuelectenerg-3306 898 24 with with ADP fuelectenerg-3306 898 25 4 4 NUM fuelectenerg-3306 898 26 , , PUNCT fuelectenerg-3306 898 27 6 6 NUM fuelectenerg-3306 898 28 , , PUNCT fuelectenerg-3306 898 29 and and CCONJ fuelectenerg-3306 898 30 8 8 NUM fuelectenerg-3306 898 31 variables variable NOUN fuelectenerg-3306 898 32 . . PUNCT fuelectenerg-3306 899 1 there there PRON fuelectenerg-3306 899 2 are be VERB fuelectenerg-3306 899 3 two two NUM fuelectenerg-3306 899 4 types type NOUN fuelectenerg-3306 899 5 of of ADP fuelectenerg-3306 899 6 methods method NOUN fuelectenerg-3306 899 7 for for ADP fuelectenerg-3306 899 8 enumerations enumeration NOUN fuelectenerg-3306 899 9 of of ADP fuelectenerg-3306 899 10 bent bent ADJ fuelectenerg-3306 899 11 functions function NOUN fuelectenerg-3306 899 12 , , PUNCT fuelectenerg-3306 899 13 primary primary ADJ fuelectenerg-3306 899 14 and and CCONJ fuelectenerg-3306 899 15 secondary secondary ADJ fuelectenerg-3306 899 16 . . PUNCT fuelectenerg-3306 900 1 the the DET fuelectenerg-3306 900 2 primary primary ADJ fuelectenerg-3306 900 3 methods method NOUN fuelectenerg-3306 900 4 are be AUX fuelectenerg-3306 900 5 based base VERB fuelectenerg-3306 900 6 on on ADP fuelectenerg-3306 900 7 the the DET fuelectenerg-3306 900 8 direct direct ADJ fuelectenerg-3306 900 9 enumeration enumeration NOUN fuelectenerg-3306 900 10 in in ADP fuelectenerg-3306 900 11 the the DET fuelectenerg-3306 900 12 boolean boolean ADJ fuelectenerg-3306 900 13 domain domain NOUN fuelectenerg-3306 900 14 . . PUNCT fuelectenerg-3306 901 1 the the DET fuelectenerg-3306 901 2 secondary secondary ADJ fuelectenerg-3306 901 3 methods method NOUN fuelectenerg-3306 901 4 are be AUX fuelectenerg-3306 901 5 based base VERB fuelectenerg-3306 901 6 on on ADP fuelectenerg-3306 901 7 214 214 NUM fuelectenerg-3306 901 8 m. m. NOUN fuelectenerg-3306 901 9 radmanović radmanović NOUN fuelectenerg-3306 901 10 , , PUNCT fuelectenerg-3306 901 11 r. r. PROPN fuelectenerg-3306 901 12 s. s. PROPN fuelectenerg-3306 901 13 stanković stanković PROPN fuelectenerg-3306 901 14 construction construction NOUN fuelectenerg-3306 901 15 of of ADP fuelectenerg-3306 901 16 subsets subset NOUN fuelectenerg-3306 901 17 of of ADP fuelectenerg-3306 901 18 bent bent ADJ fuelectenerg-3306 901 19 functions function NOUN fuelectenerg-3306 901 20 satisfying satisfy VERB fuelectenerg-3306 901 21 restrictions restriction NOUN fuelectenerg-3306 901 22 ... ... PUNCT fuelectenerg-3306 901 23 215 215 NUM fuelectenerg-3306 901 24 10 10 NUM fuelectenerg-3306 901 25 m. m. NOUN fuelectenerg-3306 901 26 radmanović radmanović PROPN fuelectenerg-3306 901 27 and and CCONJ fuelectenerg-3306 901 28 r. r. PROPN fuelectenerg-3306 901 29 stanković stanković PROPN fuelectenerg-3306 901 30 enumeration enumeration PROPN fuelectenerg-3306 901 31 in in ADP fuelectenerg-3306 901 32 the the DET fuelectenerg-3306 901 33 reed reed NOUN fuelectenerg-3306 901 34 - - PUNCT fuelectenerg-3306 901 35 muller muller NOUN fuelectenerg-3306 901 36 domain domain NOUN fuelectenerg-3306 901 37 . . PUNCT fuelectenerg-3306 902 1 the the DET fuelectenerg-3306 902 2 most most ADV fuelectenerg-3306 902 3 known know VERB fuelectenerg-3306 902 4 secondary secondary ADJ fuelectenerg-3306 902 5 methods method NOUN fuelectenerg-3306 902 6 use use VERB fuelectenerg-3306 902 7 property property NOUN fuelectenerg-3306 902 8 that that PRON fuelectenerg-3306 902 9 all all DET fuelectenerg-3306 902 10 bent bent ADJ fuelectenerg-3306 902 11 functions function NOUN fuelectenerg-3306 902 12 of of ADP fuelectenerg-3306 902 13 n n PRON fuelectenerg-3306 902 14 variables variable NOUN fuelectenerg-3306 902 15 have have VERB fuelectenerg-3306 902 16 algebraic algebraic ADJ fuelectenerg-3306 902 17 degree degree NOUN fuelectenerg-3306 902 18 at at ADP fuelectenerg-3306 902 19 most most ADJ fuelectenerg-3306 902 20 n/2 n/2 PRON fuelectenerg-3306 902 21 [ [ X fuelectenerg-3306 902 22 17 17 NUM fuelectenerg-3306 902 23 ] ] PUNCT fuelectenerg-3306 902 24 . . PUNCT fuelectenerg-3306 903 1 the the DET fuelectenerg-3306 903 2 secondary secondary ADJ fuelectenerg-3306 903 3 method method NOUN fuelectenerg-3306 903 4 for for ADP fuelectenerg-3306 903 5 complete complete ADJ fuelectenerg-3306 903 6 enumeration enumeration NOUN fuelectenerg-3306 903 7 of of ADP fuelectenerg-3306 903 8 bent bent ADJ fuelectenerg-3306 903 9 functions function NOUN fuelectenerg-3306 903 10 of of ADP fuelectenerg-3306 903 11 8 8 NUM fuelectenerg-3306 903 12 variables variable NOUN fuelectenerg-3306 903 13 has have AUX fuelectenerg-3306 903 14 been be AUX fuelectenerg-3306 903 15 used use VERB fuelectenerg-3306 903 16 approximately approximately ADV fuelectenerg-3306 903 17 50 50 NUM fuelectenerg-3306 903 18 pcs pc NOUN fuelectenerg-3306 903 19 running run VERB fuelectenerg-3306 903 20 for for ADP fuelectenerg-3306 903 21 3 3 NUM fuelectenerg-3306 903 22 months month NOUN fuelectenerg-3306 903 23 [ [ X fuelectenerg-3306 903 24 18 18 NUM fuelectenerg-3306 903 25 ] ] PUNCT fuelectenerg-3306 903 26 . . PUNCT fuelectenerg-3306 904 1 it it PRON fuelectenerg-3306 904 2 is be AUX fuelectenerg-3306 904 3 known know VERB fuelectenerg-3306 904 4 that that SCONJ fuelectenerg-3306 904 5 , , PUNCT fuelectenerg-3306 904 6 there there PRON fuelectenerg-3306 904 7 are be VERB fuelectenerg-3306 904 8 8 8 NUM fuelectenerg-3306 904 9 bent bent ADJ fuelectenerg-3306 904 10 functions function NOUN fuelectenerg-3306 904 11 in in ADP fuelectenerg-3306 904 12 two two NUM fuelectenerg-3306 904 13 variables variable NOUN fuelectenerg-3306 904 14 , , PUNCT fuelectenerg-3306 904 15 896 896 NUM fuelectenerg-3306 904 16 bent bent ADJ fuelectenerg-3306 904 17 functions function NOUN fuelectenerg-3306 904 18 in in ADP fuelectenerg-3306 904 19 four four NUM fuelectenerg-3306 904 20 variables variable NOUN fuelectenerg-3306 904 21 , , PUNCT fuelectenerg-3306 904 22 5.425.430.528 5.425.430.528 NUM fuelectenerg-3306 904 23 bent bent ADJ fuelectenerg-3306 904 24 functions function NOUN fuelectenerg-3306 904 25 in in ADP fuelectenerg-3306 904 26 6 6 NUM fuelectenerg-3306 904 27 variables variable NOUN fuelectenerg-3306 904 28 , , PUNCT fuelectenerg-3306 904 29 and and CCONJ fuelectenerg-3306 904 30 99.270.589.265.934.370.305.785.861.242.880 99.270.589.265.934.370.305.785.861.242.880 NUM fuelectenerg-3306 904 31 bent bent ADJ fuelectenerg-3306 904 32 functions function NOUN fuelectenerg-3306 904 33 in in ADP fuelectenerg-3306 904 34 8 8 NUM fuelectenerg-3306 904 35 variables variable NOUN fuelectenerg-3306 904 36 [ [ X fuelectenerg-3306 904 37 2 2 NUM fuelectenerg-3306 904 38 ] ] PUNCT fuelectenerg-3306 904 39 . . PUNCT fuelectenerg-3306 905 1 the the DET fuelectenerg-3306 905 2 efficiency efficiency NOUN fuelectenerg-3306 905 3 of of ADP fuelectenerg-3306 905 4 using use VERB fuelectenerg-3306 905 5 parallel parallel ADJ fuelectenerg-3306 905 6 multi multi ADJ fuelectenerg-3306 905 7 - - ADJ fuelectenerg-3306 905 8 core core ADJ fuelectenerg-3306 905 9 cpu cpu NOUN fuelectenerg-3306 905 10 technique technique NOUN fuelectenerg-3306 905 11 for for ADP fuelectenerg-3306 905 12 random random ADJ fuelectenerg-3306 905 13 generation generation NOUN fuelectenerg-3306 905 14 of of ADP fuelectenerg-3306 905 15 bent bent ADJ fuelectenerg-3306 905 16 function function NOUN fuelectenerg-3306 905 17 in in ADP fuelectenerg-3306 905 18 the the DET fuelectenerg-3306 905 19 rm rm NOUN fuelectenerg-3306 905 20 domain domain NOUN fuelectenerg-3306 905 21 is be AUX fuelectenerg-3306 905 22 analyzed analyze VERB fuelectenerg-3306 905 23 in in ADP fuelectenerg-3306 905 24 [ [ X fuelectenerg-3306 905 25 19 19 NUM fuelectenerg-3306 905 26 ] ] PUNCT fuelectenerg-3306 905 27 . . PUNCT fuelectenerg-3306 906 1 to to PART fuelectenerg-3306 906 2 improve improve VERB fuelectenerg-3306 906 3 execution execution NOUN fuelectenerg-3306 906 4 performance performance NOUN fuelectenerg-3306 906 5 , , PUNCT fuelectenerg-3306 906 6 the the DET fuelectenerg-3306 906 7 algorithm algorithm NOUN fuelectenerg-3306 906 8 for for ADP fuelectenerg-3306 906 9 efficient efficient ADJ fuelectenerg-3306 906 10 parallel parallel ADJ fuelectenerg-3306 906 11 generation generation NOUN fuelectenerg-3306 906 12 of of ADP fuelectenerg-3306 906 13 bent bent ADJ fuelectenerg-3306 906 14 function function NOUN fuelectenerg-3306 906 15 in in ADP fuelectenerg-3306 906 16 the the DET fuelectenerg-3306 906 17 rm rm NOUN fuelectenerg-3306 906 18 domain domain NOUN fuelectenerg-3306 906 19 using use VERB fuelectenerg-3306 906 20 gpu gpu NOUN fuelectenerg-3306 906 21 platform platform NOUN fuelectenerg-3306 906 22 have have AUX fuelectenerg-3306 906 23 been be AUX fuelectenerg-3306 906 24 defined define VERB fuelectenerg-3306 906 25 in in ADP fuelectenerg-3306 906 26 [ [ X fuelectenerg-3306 906 27 20 20 NUM fuelectenerg-3306 906 28 ] ] PUNCT fuelectenerg-3306 906 29 . . PUNCT fuelectenerg-3306 907 1 for for ADP fuelectenerg-3306 907 2 experimental experimental ADJ fuelectenerg-3306 907 3 purposes purpose NOUN fuelectenerg-3306 907 4 , , PUNCT fuelectenerg-3306 907 5 we we PRON fuelectenerg-3306 907 6 developed develop VERB fuelectenerg-3306 907 7 a a DET fuelectenerg-3306 907 8 c++ c++ NOUN fuelectenerg-3306 907 9 implementations implementation NOUN fuelectenerg-3306 907 10 of of ADP fuelectenerg-3306 907 11 the the DET fuelectenerg-3306 907 12 algorithm algorithm NOUN fuelectenerg-3306 907 13 for for ADP fuelectenerg-3306 907 14 creating create VERB fuelectenerg-3306 907 15 subsets subset NOUN fuelectenerg-3306 907 16 of of ADP fuelectenerg-3306 907 17 bent bent ADJ fuelectenerg-3306 907 18 functions function NOUN fuelectenerg-3306 907 19 in in ADP fuelectenerg-3306 907 20 the the DET fuelectenerg-3306 907 21 rm rm NOUN fuelectenerg-3306 907 22 domain domain NOUN fuelectenerg-3306 907 23 . . PUNCT fuelectenerg-3306 908 1 the the DET fuelectenerg-3306 908 2 algorithm algorithm NOUN fuelectenerg-3306 908 3 for for ADP fuelectenerg-3306 908 4 creation creation NOUN fuelectenerg-3306 908 5 of of ADP fuelectenerg-3306 908 6 subsets subset NOUN fuelectenerg-3306 908 7 in in ADP fuelectenerg-3306 908 8 rm rm NOUN fuelectenerg-3306 908 9 domain domain NOUN fuelectenerg-3306 908 10 is be AUX fuelectenerg-3306 908 11 similar similar ADJ fuelectenerg-3306 908 12 to to ADP fuelectenerg-3306 908 13 the the DET fuelectenerg-3306 908 14 techniques technique NOUN fuelectenerg-3306 908 15 for for ADP fuelectenerg-3306 908 16 hardware hardware NOUN fuelectenerg-3306 908 17 enumeration enumeration NOUN fuelectenerg-3306 908 18 of of ADP fuelectenerg-3306 908 19 bent bent ADJ fuelectenerg-3306 908 20 functions function NOUN fuelectenerg-3306 908 21 [ [ X fuelectenerg-3306 908 22 21 21 NUM fuelectenerg-3306 908 23 ] ] PUNCT fuelectenerg-3306 908 24 and and CCONJ fuelectenerg-3306 908 25 generation generation NOUN fuelectenerg-3306 908 26 of of ADP fuelectenerg-3306 908 27 bent bent ADJ fuelectenerg-3306 908 28 function function NOUN fuelectenerg-3306 908 29 in in ADP fuelectenerg-3306 908 30 the the DET fuelectenerg-3306 908 31 rm rm NOUN fuelectenerg-3306 908 32 domain domain NOUN fuelectenerg-3306 908 33 [ [ X fuelectenerg-3306 908 34 19 19 NUM fuelectenerg-3306 908 35 ] ] PUNCT fuelectenerg-3306 908 36 , , PUNCT fuelectenerg-3306 908 37 except except SCONJ fuelectenerg-3306 908 38 that that SCONJ fuelectenerg-3306 908 39 the the DET fuelectenerg-3306 908 40 search search NOUN fuelectenerg-3306 908 41 space space NOUN fuelectenerg-3306 908 42 of of ADP fuelectenerg-3306 908 43 further far ADV fuelectenerg-3306 908 44 reduced reduce VERB fuelectenerg-3306 908 45 . . PUNCT fuelectenerg-3306 909 1 note note VERB fuelectenerg-3306 909 2 that that SCONJ fuelectenerg-3306 909 3 , , PUNCT fuelectenerg-3306 909 4 for for ADP fuelectenerg-3306 909 5 some some DET fuelectenerg-3306 909 6 functions function NOUN fuelectenerg-3306 909 7 of of ADP fuelectenerg-3306 909 8 6 6 NUM fuelectenerg-3306 909 9 and and CCONJ fuelectenerg-3306 909 10 8 8 NUM fuelectenerg-3306 909 11 variables variable NOUN fuelectenerg-3306 909 12 , , PUNCT fuelectenerg-3306 909 13 experiments experiment NOUN fuelectenerg-3306 909 14 were be AUX fuelectenerg-3306 909 15 not not PART fuelectenerg-3306 909 16 shown show VERB fuelectenerg-3306 909 17 , , PUNCT fuelectenerg-3306 909 18 since since SCONJ fuelectenerg-3306 909 19 the the DET fuelectenerg-3306 909 20 computation computation NOUN fuelectenerg-3306 909 21 time time NOUN fuelectenerg-3306 909 22 was be AUX fuelectenerg-3306 909 23 limited limit VERB fuelectenerg-3306 909 24 to to ADP fuelectenerg-3306 909 25 30 30 NUM fuelectenerg-3306 909 26 minutes minute NOUN fuelectenerg-3306 909 27 . . PUNCT fuelectenerg-3306 910 1 table table NOUN fuelectenerg-3306 910 2 1 1 NUM fuelectenerg-3306 910 3 shows show VERB fuelectenerg-3306 910 4 the the DET fuelectenerg-3306 910 5 number number NOUN fuelectenerg-3306 910 6 of of ADP fuelectenerg-3306 910 7 bent bent ADJ fuelectenerg-3306 910 8 functions function NOUN fuelectenerg-3306 910 9 in in ADP fuelectenerg-3306 910 10 the the DET fuelectenerg-3306 910 11 subsets subset NOUN fuelectenerg-3306 910 12 v v ADP fuelectenerg-3306 910 13 ( ( PUNCT fuelectenerg-3306 910 14 k k NOUN fuelectenerg-3306 910 15 ) ) PUNCT fuelectenerg-3306 910 16 for for ADP fuelectenerg-3306 910 17 n n NOUN fuelectenerg-3306 910 18 = = SYM fuelectenerg-3306 910 19 4 4 NUM fuelectenerg-3306 910 20 variables variable NOUN fuelectenerg-3306 910 21 . . PUNCT fuelectenerg-3306 911 1 there there PRON fuelectenerg-3306 911 2 exists exist VERB fuelectenerg-3306 911 3 no no DET fuelectenerg-3306 911 4 bent bent ADJ fuelectenerg-3306 911 5 function function NOUN fuelectenerg-3306 911 6 that that PRON fuelectenerg-3306 911 7 can can AUX fuelectenerg-3306 911 8 be be AUX fuelectenerg-3306 911 9 represented represent VERB fuelectenerg-3306 911 10 by by ADP fuelectenerg-3306 911 11 a a DET fuelectenerg-3306 911 12 single single ADJ fuelectenerg-3306 911 13 product product NOUN fuelectenerg-3306 911 14 term term NOUN fuelectenerg-3306 911 15 . . PUNCT fuelectenerg-3306 912 1 note note VERB fuelectenerg-3306 912 2 that that SCONJ fuelectenerg-3306 912 3 majority majority NOUN fuelectenerg-3306 912 4 of of ADP fuelectenerg-3306 912 5 the the DET fuelectenerg-3306 912 6 bent bent ADJ fuelectenerg-3306 912 7 functions function NOUN fuelectenerg-3306 912 8 requires require VERB fuelectenerg-3306 912 9 4 4 NUM fuelectenerg-3306 912 10 to to PART fuelectenerg-3306 912 11 7 7 NUM fuelectenerg-3306 912 12 coefficients coefficient NOUN fuelectenerg-3306 912 13 . . PUNCT fuelectenerg-3306 913 1 precisely precisely ADV fuelectenerg-3306 913 2 , , PUNCT fuelectenerg-3306 913 3 more more ADJ fuelectenerg-3306 913 4 that that SCONJ fuelectenerg-3306 913 5 756 756 NUM fuelectenerg-3306 913 6 of of ADP fuelectenerg-3306 913 7 the the DET fuelectenerg-3306 913 8 total total NOUN fuelectenerg-3306 913 9 of of ADP fuelectenerg-3306 913 10 896 896 NUM fuelectenerg-3306 913 11 bent bent ADJ fuelectenerg-3306 913 12 functions function NOUN fuelectenerg-3306 913 13 for for ADP fuelectenerg-3306 913 14 n n NOUN fuelectenerg-3306 913 15 = = SYM fuelectenerg-3306 913 16 4 4 NUM fuelectenerg-3306 913 17 require require VERB fuelectenerg-3306 913 18 4 4 NUM fuelectenerg-3306 913 19 to to PART fuelectenerg-3306 913 20 7 7 NUM fuelectenerg-3306 913 21 non non ADJ fuelectenerg-3306 913 22 - - ADJ fuelectenerg-3306 913 23 zero zero NUM fuelectenerg-3306 913 24 coefficients coefficient NOUN fuelectenerg-3306 913 25 . . PUNCT fuelectenerg-3306 914 1 this this PRON fuelectenerg-3306 914 2 makes make VERB fuelectenerg-3306 914 3 84 84 NUM fuelectenerg-3306 914 4 , , PUNCT fuelectenerg-3306 914 5 375 375 NUM fuelectenerg-3306 914 6 % % NOUN fuelectenerg-3306 914 7 of of ADP fuelectenerg-3306 914 8 the the DET fuelectenerg-3306 914 9 total total NOUN fuelectenerg-3306 914 10 of of ADP fuelectenerg-3306 914 11 bent bent ADJ fuelectenerg-3306 914 12 functions function NOUN fuelectenerg-3306 914 13 . . PUNCT fuelectenerg-3306 915 1 from from ADP fuelectenerg-3306 915 2 data datum NOUN fuelectenerg-3306 915 3 in in ADP fuelectenerg-3306 915 4 table table NOUN fuelectenerg-3306 915 5 1 1 NUM fuelectenerg-3306 915 6 , , PUNCT fuelectenerg-3306 915 7 it it PRON fuelectenerg-3306 915 8 can can AUX fuelectenerg-3306 915 9 be be AUX fuelectenerg-3306 915 10 seen see VERB fuelectenerg-3306 915 11 that that SCONJ fuelectenerg-3306 915 12 vertical vertical ADJ fuelectenerg-3306 915 13 subsets subset NOUN fuelectenerg-3306 915 14 v v ADP fuelectenerg-3306 915 15 ( ( PUNCT fuelectenerg-3306 915 16 5 5 NUM fuelectenerg-3306 915 17 ) ) PUNCT fuelectenerg-3306 915 18 and and CCONJ fuelectenerg-3306 915 19 v v X fuelectenerg-3306 915 20 ( ( PUNCT fuelectenerg-3306 915 21 6 6 NUM fuelectenerg-3306 915 22 ) ) PUNCT fuelectenerg-3306 915 23 contain contain VERB fuelectenerg-3306 915 24 more more ADJ fuelectenerg-3306 915 25 than than ADP fuelectenerg-3306 915 26 a a DET fuelectenerg-3306 915 27 half half NOUN fuelectenerg-3306 915 28 of of ADP fuelectenerg-3306 915 29 the the DET fuelectenerg-3306 915 30 total total ADJ fuelectenerg-3306 915 31 number number NOUN fuelectenerg-3306 915 32 of of ADP fuelectenerg-3306 915 33 bent bent ADJ fuelectenerg-3306 915 34 functions function NOUN fuelectenerg-3306 915 35 . . PUNCT fuelectenerg-3306 916 1 note note VERB fuelectenerg-3306 916 2 that that SCONJ fuelectenerg-3306 916 3 vertical vertical ADJ fuelectenerg-3306 916 4 subsets subset NOUN fuelectenerg-3306 916 5 v v ADP fuelectenerg-3306 916 6 ( ( PUNCT fuelectenerg-3306 916 7 2 2 NUM fuelectenerg-3306 916 8 ) ) PUNCT fuelectenerg-3306 916 9 , , PUNCT fuelectenerg-3306 916 10 v v X fuelectenerg-3306 916 11 ( ( PUNCT fuelectenerg-3306 916 12 10 10 NUM fuelectenerg-3306 916 13 ) ) PUNCT fuelectenerg-3306 916 14 , , PUNCT fuelectenerg-3306 916 15 and and CCONJ fuelectenerg-3306 916 16 v v X fuelectenerg-3306 916 17 ( ( PUNCT fuelectenerg-3306 916 18 11 11 NUM fuelectenerg-3306 916 19 ) ) PUNCT fuelectenerg-3306 916 20 contain contain VERB fuelectenerg-3306 916 21 small small ADJ fuelectenerg-3306 916 22 number number NOUN fuelectenerg-3306 916 23 of of ADP fuelectenerg-3306 916 24 the the DET fuelectenerg-3306 916 25 bent bent ADJ fuelectenerg-3306 916 26 functions function NOUN fuelectenerg-3306 916 27 . . PUNCT fuelectenerg-3306 917 1 table table NOUN fuelectenerg-3306 917 2 2 2 NUM fuelectenerg-3306 917 3 shows show VERB fuelectenerg-3306 917 4 the the DET fuelectenerg-3306 917 5 number number NOUN fuelectenerg-3306 917 6 of of ADP fuelectenerg-3306 917 7 bent bent ADJ fuelectenerg-3306 917 8 functions function NOUN fuelectenerg-3306 917 9 in in ADP fuelectenerg-3306 917 10 the the DET fuelectenerg-3306 917 11 most most ADJ fuelectenerg-3306 917 12 of of ADP fuelectenerg-3306 917 13 rm rm PROPN fuelectenerg-3306 917 14 vertical vertical ADJ fuelectenerg-3306 917 15 subsets subset NOUN fuelectenerg-3306 917 16 for for ADP fuelectenerg-3306 917 17 functions function NOUN fuelectenerg-3306 917 18 with with ADP fuelectenerg-3306 917 19 6 6 NUM fuelectenerg-3306 917 20 variables variable NOUN fuelectenerg-3306 917 21 . . PUNCT fuelectenerg-3306 918 1 from from ADP fuelectenerg-3306 918 2 data datum NOUN fuelectenerg-3306 918 3 in in ADP fuelectenerg-3306 918 4 table table NOUN fuelectenerg-3306 918 5 2 2 NUM fuelectenerg-3306 918 6 , , PUNCT fuelectenerg-3306 918 7 it it PRON fuelectenerg-3306 918 8 can can AUX fuelectenerg-3306 918 9 be be AUX fuelectenerg-3306 918 10 seen see VERB fuelectenerg-3306 918 11 again again ADV fuelectenerg-3306 918 12 that that SCONJ fuelectenerg-3306 918 13 central central ADJ fuelectenerg-3306 918 14 vertical vertical ADJ fuelectenerg-3306 918 15 subsets subset NOUN fuelectenerg-3306 918 16 contains contain VERB fuelectenerg-3306 918 17 large large ADJ fuelectenerg-3306 918 18 number number NOUN fuelectenerg-3306 918 19 of of ADP fuelectenerg-3306 918 20 the the DET fuelectenerg-3306 918 21 bent bent ADJ fuelectenerg-3306 918 22 functions function NOUN fuelectenerg-3306 918 23 . . PUNCT fuelectenerg-3306 919 1 for for ADP fuelectenerg-3306 919 2 example example NOUN fuelectenerg-3306 919 3 , , PUNCT fuelectenerg-3306 919 4 the the DET fuelectenerg-3306 919 5 rm rm PROPN fuelectenerg-3306 919 6 vertical vertical PROPN fuelectenerg-3306 919 7 subsets subsets PROPN fuelectenerg-3306 919 8 v v ADP fuelectenerg-3306 919 9 ( ( PUNCT fuelectenerg-3306 919 10 18 18 NUM fuelectenerg-3306 919 11 ) ) PUNCT fuelectenerg-3306 919 12 and and CCONJ fuelectenerg-3306 919 13 v v X fuelectenerg-3306 919 14 ( ( PUNCT fuelectenerg-3306 919 15 19 19 NUM fuelectenerg-3306 919 16 ) ) PUNCT fuelectenerg-3306 919 17 contain contain VERB fuelectenerg-3306 919 18 about about ADV fuelectenerg-3306 919 19 20 20 NUM fuelectenerg-3306 919 20 % % NOUN fuelectenerg-3306 919 21 of of ADP fuelectenerg-3306 919 22 the the DET fuelectenerg-3306 919 23 bent bent ADJ fuelectenerg-3306 919 24 functions function NOUN fuelectenerg-3306 919 25 . . PUNCT fuelectenerg-3306 920 1 again again ADV fuelectenerg-3306 920 2 , , PUNCT fuelectenerg-3306 920 3 note note VERB fuelectenerg-3306 920 4 that that SCONJ fuelectenerg-3306 920 5 vertical vertical ADJ fuelectenerg-3306 920 6 subsets subset NOUN fuelectenerg-3306 920 7 v v ADP fuelectenerg-3306 920 8 ( ( PUNCT fuelectenerg-3306 920 9 3 3 NUM fuelectenerg-3306 920 10 ) ) PUNCT fuelectenerg-3306 920 11 , , PUNCT fuelectenerg-3306 920 12 v v X fuelectenerg-3306 920 13 ( ( PUNCT fuelectenerg-3306 920 14 4 4 NUM fuelectenerg-3306 920 15 ) ) PUNCT fuelectenerg-3306 920 16 , , PUNCT fuelectenerg-3306 920 17 v v X fuelectenerg-3306 920 18 ( ( PUNCT fuelectenerg-3306 920 19 36 36 NUM fuelectenerg-3306 920 20 ) ) PUNCT fuelectenerg-3306 920 21 and and CCONJ fuelectenerg-3306 920 22 v v X fuelectenerg-3306 920 23 ( ( PUNCT fuelectenerg-3306 920 24 37 37 NUM fuelectenerg-3306 920 25 ) ) PUNCT fuelectenerg-3306 920 26 contain contain VERB fuelectenerg-3306 920 27 small small ADJ fuelectenerg-3306 920 28 number number NOUN fuelectenerg-3306 920 29 of of ADP fuelectenerg-3306 920 30 the the DET fuelectenerg-3306 920 31 bent bent ADJ fuelectenerg-3306 920 32 functions function NOUN fuelectenerg-3306 920 33 . . PUNCT fuelectenerg-3306 921 1 the the DET fuelectenerg-3306 921 2 numbers number NOUN fuelectenerg-3306 921 3 of of ADP fuelectenerg-3306 921 4 bent bent ADJ fuelectenerg-3306 921 5 functions function NOUN fuelectenerg-3306 921 6 for for ADP fuelectenerg-3306 921 7 the the DET fuelectenerg-3306 921 8 subsets subset NOUN fuelectenerg-3306 921 9 from from ADP fuelectenerg-3306 921 10 v v NUM fuelectenerg-3306 921 11 ( ( PUNCT fuelectenerg-3306 921 12 20 20 NUM fuelectenerg-3306 921 13 ) ) PUNCT fuelectenerg-3306 921 14 to to ADP fuelectenerg-3306 921 15 v v PROPN fuelectenerg-3306 921 16 ( ( PUNCT fuelectenerg-3306 921 17 27 27 NUM fuelectenerg-3306 921 18 ) ) PUNCT fuelectenerg-3306 921 19 are be AUX fuelectenerg-3306 921 20 not not PART fuelectenerg-3306 921 21 included include VERB fuelectenerg-3306 921 22 due due ADP fuelectenerg-3306 921 23 to to ADP fuelectenerg-3306 921 24 very very ADV fuelectenerg-3306 921 25 long long ADJ fuelectenerg-3306 921 26 computation computation NOUN fuelectenerg-3306 921 27 time time NOUN fuelectenerg-3306 921 28 . . PUNCT fuelectenerg-3306 922 1 table table NOUN fuelectenerg-3306 922 2 3 3 NUM fuelectenerg-3306 922 3 shows show VERB fuelectenerg-3306 922 4 the the DET fuelectenerg-3306 922 5 number number NOUN fuelectenerg-3306 922 6 of of ADP fuelectenerg-3306 922 7 bent bent ADJ fuelectenerg-3306 922 8 functions function NOUN fuelectenerg-3306 922 9 with with ADP fuelectenerg-3306 922 10 4 4 NUM fuelectenerg-3306 922 11 and and CCONJ fuelectenerg-3306 922 12 5 5 NUM fuelectenerg-3306 922 13 non non ADJ fuelectenerg-3306 922 14 - - ADJ fuelectenerg-3306 922 15 zero zero NUM fuelectenerg-3306 922 16 rm rm NOUN fuelectenerg-3306 922 17 coefficients coefficient NOUN fuelectenerg-3306 922 18 for for ADP fuelectenerg-3306 922 19 functions function NOUN fuelectenerg-3306 922 20 with with ADP fuelectenerg-3306 922 21 8 8 NUM fuelectenerg-3306 922 22 variables variable NOUN fuelectenerg-3306 922 23 . . PUNCT fuelectenerg-3306 923 1 it it PRON fuelectenerg-3306 923 2 is be AUX fuelectenerg-3306 923 3 again again ADV fuelectenerg-3306 923 4 confirmed confirm VERB fuelectenerg-3306 923 5 that that SCONJ fuelectenerg-3306 923 6 vertical vertical ADJ fuelectenerg-3306 923 7 subsets subset NOUN fuelectenerg-3306 923 8 with with ADP fuelectenerg-3306 923 9 small small ADJ fuelectenerg-3306 923 10 and and CCONJ fuelectenerg-3306 923 11 large large ADJ fuelectenerg-3306 923 12 number number NOUN fuelectenerg-3306 923 13 of of ADP fuelectenerg-3306 923 14 coefficients coefficient NOUN fuelectenerg-3306 923 15 do do AUX fuelectenerg-3306 923 16 not not PART fuelectenerg-3306 923 17 contain contain VERB fuelectenerg-3306 923 18 many many ADJ fuelectenerg-3306 923 19 bent bent ADJ fuelectenerg-3306 923 20 216 216 NUM fuelectenerg-3306 923 21 m. m. NOUN fuelectenerg-3306 923 22 radmanović radmanović NOUN fuelectenerg-3306 923 23 , , PUNCT fuelectenerg-3306 923 24 r. r. PROPN fuelectenerg-3306 923 25 s. s. PROPN fuelectenerg-3306 923 26 stanković stanković PROPN fuelectenerg-3306 923 27 construction construction NOUN fuelectenerg-3306 923 28 of of ADP fuelectenerg-3306 923 29 subsets subset NOUN fuelectenerg-3306 923 30 of of ADP fuelectenerg-3306 923 31 bent bent ADJ fuelectenerg-3306 923 32 functions function NOUN fuelectenerg-3306 923 33 satisfying satisfy VERB fuelectenerg-3306 923 34 restrictions restriction NOUN fuelectenerg-3306 923 35 ... ... PUNCT fuelectenerg-3306 923 36 217 217 NUM fuelectenerg-3306 923 37 10 10 NUM fuelectenerg-3306 923 38 m. m. NOUN fuelectenerg-3306 923 39 radmanović radmanović PROPN fuelectenerg-3306 923 40 and and CCONJ fuelectenerg-3306 923 41 r. r. PROPN fuelectenerg-3306 923 42 stanković stanković PROPN fuelectenerg-3306 923 43 enumeration enumeration PROPN fuelectenerg-3306 923 44 in in ADP fuelectenerg-3306 923 45 the the DET fuelectenerg-3306 923 46 reed reed NOUN fuelectenerg-3306 923 47 - - PUNCT fuelectenerg-3306 923 48 muller muller NOUN fuelectenerg-3306 923 49 domain domain NOUN fuelectenerg-3306 923 50 . . PUNCT fuelectenerg-3306 924 1 the the DET fuelectenerg-3306 924 2 most most ADV fuelectenerg-3306 924 3 known know VERB fuelectenerg-3306 924 4 secondary secondary ADJ fuelectenerg-3306 924 5 methods method NOUN fuelectenerg-3306 924 6 use use VERB fuelectenerg-3306 924 7 property property NOUN fuelectenerg-3306 924 8 that that PRON fuelectenerg-3306 924 9 all all DET fuelectenerg-3306 924 10 bent bent ADJ fuelectenerg-3306 924 11 functions function NOUN fuelectenerg-3306 924 12 of of ADP fuelectenerg-3306 924 13 n n PRON fuelectenerg-3306 924 14 variables variable NOUN fuelectenerg-3306 924 15 have have VERB fuelectenerg-3306 924 16 algebraic algebraic ADJ fuelectenerg-3306 924 17 degree degree NOUN fuelectenerg-3306 924 18 at at ADP fuelectenerg-3306 924 19 most most ADJ fuelectenerg-3306 924 20 n/2 n/2 PRON fuelectenerg-3306 924 21 [ [ X fuelectenerg-3306 924 22 17 17 NUM fuelectenerg-3306 924 23 ] ] PUNCT fuelectenerg-3306 924 24 . . PUNCT fuelectenerg-3306 925 1 the the DET fuelectenerg-3306 925 2 secondary secondary ADJ fuelectenerg-3306 925 3 method method NOUN fuelectenerg-3306 925 4 for for ADP fuelectenerg-3306 925 5 complete complete ADJ fuelectenerg-3306 925 6 enumeration enumeration NOUN fuelectenerg-3306 925 7 of of ADP fuelectenerg-3306 925 8 bent bent ADJ fuelectenerg-3306 925 9 functions function NOUN fuelectenerg-3306 925 10 of of ADP fuelectenerg-3306 925 11 8 8 NUM fuelectenerg-3306 925 12 variables variable NOUN fuelectenerg-3306 925 13 has have AUX fuelectenerg-3306 925 14 been be AUX fuelectenerg-3306 925 15 used use VERB fuelectenerg-3306 925 16 approximately approximately ADV fuelectenerg-3306 925 17 50 50 NUM fuelectenerg-3306 925 18 pcs pc NOUN fuelectenerg-3306 925 19 running run VERB fuelectenerg-3306 925 20 for for ADP fuelectenerg-3306 925 21 3 3 NUM fuelectenerg-3306 925 22 months month NOUN fuelectenerg-3306 925 23 [ [ X fuelectenerg-3306 925 24 18 18 NUM fuelectenerg-3306 925 25 ] ] PUNCT fuelectenerg-3306 925 26 . . PUNCT fuelectenerg-3306 926 1 it it PRON fuelectenerg-3306 926 2 is be AUX fuelectenerg-3306 926 3 known know VERB fuelectenerg-3306 926 4 that that SCONJ fuelectenerg-3306 926 5 , , PUNCT fuelectenerg-3306 926 6 there there PRON fuelectenerg-3306 926 7 are be VERB fuelectenerg-3306 926 8 8 8 NUM fuelectenerg-3306 926 9 bent bent ADJ fuelectenerg-3306 926 10 functions function NOUN fuelectenerg-3306 926 11 in in ADP fuelectenerg-3306 926 12 two two NUM fuelectenerg-3306 926 13 variables variable NOUN fuelectenerg-3306 926 14 , , PUNCT fuelectenerg-3306 926 15 896 896 NUM fuelectenerg-3306 926 16 bent bent ADJ fuelectenerg-3306 926 17 functions function NOUN fuelectenerg-3306 926 18 in in ADP fuelectenerg-3306 926 19 four four NUM fuelectenerg-3306 926 20 variables variable NOUN fuelectenerg-3306 926 21 , , PUNCT fuelectenerg-3306 926 22 5.425.430.528 5.425.430.528 NUM fuelectenerg-3306 926 23 bent bent ADJ fuelectenerg-3306 926 24 functions function NOUN fuelectenerg-3306 926 25 in in ADP fuelectenerg-3306 926 26 6 6 NUM fuelectenerg-3306 926 27 variables variable NOUN fuelectenerg-3306 926 28 , , PUNCT fuelectenerg-3306 926 29 and and CCONJ fuelectenerg-3306 926 30 99.270.589.265.934.370.305.785.861.242.880 99.270.589.265.934.370.305.785.861.242.880 NUM fuelectenerg-3306 926 31 bent bent ADJ fuelectenerg-3306 926 32 functions function NOUN fuelectenerg-3306 926 33 in in ADP fuelectenerg-3306 926 34 8 8 NUM fuelectenerg-3306 926 35 variables variable NOUN fuelectenerg-3306 926 36 [ [ X fuelectenerg-3306 926 37 2 2 NUM fuelectenerg-3306 926 38 ] ] PUNCT fuelectenerg-3306 926 39 . . PUNCT fuelectenerg-3306 927 1 the the DET fuelectenerg-3306 927 2 efficiency efficiency NOUN fuelectenerg-3306 927 3 of of ADP fuelectenerg-3306 927 4 using use VERB fuelectenerg-3306 927 5 parallel parallel ADJ fuelectenerg-3306 927 6 multi multi ADJ fuelectenerg-3306 927 7 - - ADJ fuelectenerg-3306 927 8 core core ADJ fuelectenerg-3306 927 9 cpu cpu NOUN fuelectenerg-3306 927 10 technique technique NOUN fuelectenerg-3306 927 11 for for ADP fuelectenerg-3306 927 12 random random ADJ fuelectenerg-3306 927 13 generation generation NOUN fuelectenerg-3306 927 14 of of ADP fuelectenerg-3306 927 15 bent bent ADJ fuelectenerg-3306 927 16 function function NOUN fuelectenerg-3306 927 17 in in ADP fuelectenerg-3306 927 18 the the DET fuelectenerg-3306 927 19 rm rm NOUN fuelectenerg-3306 927 20 domain domain NOUN fuelectenerg-3306 927 21 is be AUX fuelectenerg-3306 927 22 analyzed analyze VERB fuelectenerg-3306 927 23 in in ADP fuelectenerg-3306 927 24 [ [ X fuelectenerg-3306 927 25 19 19 NUM fuelectenerg-3306 927 26 ] ] PUNCT fuelectenerg-3306 927 27 . . PUNCT fuelectenerg-3306 928 1 to to PART fuelectenerg-3306 928 2 improve improve VERB fuelectenerg-3306 928 3 execution execution NOUN fuelectenerg-3306 928 4 performance performance NOUN fuelectenerg-3306 928 5 , , PUNCT fuelectenerg-3306 928 6 the the DET fuelectenerg-3306 928 7 algorithm algorithm NOUN fuelectenerg-3306 928 8 for for ADP fuelectenerg-3306 928 9 efficient efficient ADJ fuelectenerg-3306 928 10 parallel parallel ADJ fuelectenerg-3306 928 11 generation generation NOUN fuelectenerg-3306 928 12 of of ADP fuelectenerg-3306 928 13 bent bent ADJ fuelectenerg-3306 928 14 function function NOUN fuelectenerg-3306 928 15 in in ADP fuelectenerg-3306 928 16 the the DET fuelectenerg-3306 928 17 rm rm NOUN fuelectenerg-3306 928 18 domain domain NOUN fuelectenerg-3306 928 19 using use VERB fuelectenerg-3306 928 20 gpu gpu NOUN fuelectenerg-3306 928 21 platform platform NOUN fuelectenerg-3306 928 22 have have AUX fuelectenerg-3306 928 23 been be AUX fuelectenerg-3306 928 24 defined define VERB fuelectenerg-3306 928 25 in in ADP fuelectenerg-3306 928 26 [ [ X fuelectenerg-3306 928 27 20 20 NUM fuelectenerg-3306 928 28 ] ] PUNCT fuelectenerg-3306 928 29 . . PUNCT fuelectenerg-3306 929 1 for for ADP fuelectenerg-3306 929 2 experimental experimental ADJ fuelectenerg-3306 929 3 purposes purpose NOUN fuelectenerg-3306 929 4 , , PUNCT fuelectenerg-3306 929 5 we we PRON fuelectenerg-3306 929 6 developed develop VERB fuelectenerg-3306 929 7 a a DET fuelectenerg-3306 929 8 c++ c++ NOUN fuelectenerg-3306 929 9 implementations implementation NOUN fuelectenerg-3306 929 10 of of ADP fuelectenerg-3306 929 11 the the DET fuelectenerg-3306 929 12 algorithm algorithm NOUN fuelectenerg-3306 929 13 for for ADP fuelectenerg-3306 929 14 creating create VERB fuelectenerg-3306 929 15 subsets subset NOUN fuelectenerg-3306 929 16 of of ADP fuelectenerg-3306 929 17 bent bent ADJ fuelectenerg-3306 929 18 functions function NOUN fuelectenerg-3306 929 19 in in ADP fuelectenerg-3306 929 20 the the DET fuelectenerg-3306 929 21 rm rm NOUN fuelectenerg-3306 929 22 domain domain NOUN fuelectenerg-3306 929 23 . . PUNCT fuelectenerg-3306 930 1 the the DET fuelectenerg-3306 930 2 algorithm algorithm NOUN fuelectenerg-3306 930 3 for for ADP fuelectenerg-3306 930 4 creation creation NOUN fuelectenerg-3306 930 5 of of ADP fuelectenerg-3306 930 6 subsets subset NOUN fuelectenerg-3306 930 7 in in ADP fuelectenerg-3306 930 8 rm rm NOUN fuelectenerg-3306 930 9 domain domain NOUN fuelectenerg-3306 930 10 is be AUX fuelectenerg-3306 930 11 similar similar ADJ fuelectenerg-3306 930 12 to to ADP fuelectenerg-3306 930 13 the the DET fuelectenerg-3306 930 14 techniques technique NOUN fuelectenerg-3306 930 15 for for ADP fuelectenerg-3306 930 16 hardware hardware NOUN fuelectenerg-3306 930 17 enumeration enumeration NOUN fuelectenerg-3306 930 18 of of ADP fuelectenerg-3306 930 19 bent bent ADJ fuelectenerg-3306 930 20 functions function NOUN fuelectenerg-3306 930 21 [ [ X fuelectenerg-3306 930 22 21 21 NUM fuelectenerg-3306 930 23 ] ] PUNCT fuelectenerg-3306 930 24 and and CCONJ fuelectenerg-3306 930 25 generation generation NOUN fuelectenerg-3306 930 26 of of ADP fuelectenerg-3306 930 27 bent bent ADJ fuelectenerg-3306 930 28 function function NOUN fuelectenerg-3306 930 29 in in ADP fuelectenerg-3306 930 30 the the DET fuelectenerg-3306 930 31 rm rm NOUN fuelectenerg-3306 930 32 domain domain NOUN fuelectenerg-3306 930 33 [ [ X fuelectenerg-3306 930 34 19 19 NUM fuelectenerg-3306 930 35 ] ] PUNCT fuelectenerg-3306 930 36 , , PUNCT fuelectenerg-3306 930 37 except except SCONJ fuelectenerg-3306 930 38 that that SCONJ fuelectenerg-3306 930 39 the the DET fuelectenerg-3306 930 40 search search NOUN fuelectenerg-3306 930 41 space space NOUN fuelectenerg-3306 930 42 of of ADP fuelectenerg-3306 930 43 further far ADV fuelectenerg-3306 930 44 reduced reduce VERB fuelectenerg-3306 930 45 . . PUNCT fuelectenerg-3306 931 1 note note VERB fuelectenerg-3306 931 2 that that SCONJ fuelectenerg-3306 931 3 , , PUNCT fuelectenerg-3306 931 4 for for ADP fuelectenerg-3306 931 5 some some DET fuelectenerg-3306 931 6 functions function NOUN fuelectenerg-3306 931 7 of of ADP fuelectenerg-3306 931 8 6 6 NUM fuelectenerg-3306 931 9 and and CCONJ fuelectenerg-3306 931 10 8 8 NUM fuelectenerg-3306 931 11 variables variable NOUN fuelectenerg-3306 931 12 , , PUNCT fuelectenerg-3306 931 13 experiments experiment NOUN fuelectenerg-3306 931 14 were be AUX fuelectenerg-3306 931 15 not not PART fuelectenerg-3306 931 16 shown show VERB fuelectenerg-3306 931 17 , , PUNCT fuelectenerg-3306 931 18 since since SCONJ fuelectenerg-3306 931 19 the the DET fuelectenerg-3306 931 20 computation computation NOUN fuelectenerg-3306 931 21 time time NOUN fuelectenerg-3306 931 22 was be AUX fuelectenerg-3306 931 23 limited limit VERB fuelectenerg-3306 931 24 to to ADP fuelectenerg-3306 931 25 30 30 NUM fuelectenerg-3306 931 26 minutes minute NOUN fuelectenerg-3306 931 27 . . PUNCT fuelectenerg-3306 932 1 table table NOUN fuelectenerg-3306 932 2 1 1 NUM fuelectenerg-3306 932 3 shows show VERB fuelectenerg-3306 932 4 the the DET fuelectenerg-3306 932 5 number number NOUN fuelectenerg-3306 932 6 of of ADP fuelectenerg-3306 932 7 bent bent ADJ fuelectenerg-3306 932 8 functions function NOUN fuelectenerg-3306 932 9 in in ADP fuelectenerg-3306 932 10 the the DET fuelectenerg-3306 932 11 subsets subset NOUN fuelectenerg-3306 932 12 v v ADP fuelectenerg-3306 932 13 ( ( PUNCT fuelectenerg-3306 932 14 k k NOUN fuelectenerg-3306 932 15 ) ) PUNCT fuelectenerg-3306 932 16 for for ADP fuelectenerg-3306 932 17 n n NOUN fuelectenerg-3306 932 18 = = SYM fuelectenerg-3306 932 19 4 4 NUM fuelectenerg-3306 932 20 variables variable NOUN fuelectenerg-3306 932 21 . . PUNCT fuelectenerg-3306 933 1 there there PRON fuelectenerg-3306 933 2 exists exist VERB fuelectenerg-3306 933 3 no no DET fuelectenerg-3306 933 4 bent bent ADJ fuelectenerg-3306 933 5 function function NOUN fuelectenerg-3306 933 6 that that PRON fuelectenerg-3306 933 7 can can AUX fuelectenerg-3306 933 8 be be AUX fuelectenerg-3306 933 9 represented represent VERB fuelectenerg-3306 933 10 by by ADP fuelectenerg-3306 933 11 a a DET fuelectenerg-3306 933 12 single single ADJ fuelectenerg-3306 933 13 product product NOUN fuelectenerg-3306 933 14 term term NOUN fuelectenerg-3306 933 15 . . PUNCT fuelectenerg-3306 934 1 note note VERB fuelectenerg-3306 934 2 that that SCONJ fuelectenerg-3306 934 3 majority majority NOUN fuelectenerg-3306 934 4 of of ADP fuelectenerg-3306 934 5 the the DET fuelectenerg-3306 934 6 bent bent ADJ fuelectenerg-3306 934 7 functions function NOUN fuelectenerg-3306 934 8 requires require VERB fuelectenerg-3306 934 9 4 4 NUM fuelectenerg-3306 934 10 to to PART fuelectenerg-3306 934 11 7 7 NUM fuelectenerg-3306 934 12 coefficients coefficient NOUN fuelectenerg-3306 934 13 . . PUNCT fuelectenerg-3306 935 1 precisely precisely ADV fuelectenerg-3306 935 2 , , PUNCT fuelectenerg-3306 935 3 more more ADJ fuelectenerg-3306 935 4 that that SCONJ fuelectenerg-3306 935 5 756 756 NUM fuelectenerg-3306 935 6 of of ADP fuelectenerg-3306 935 7 the the DET fuelectenerg-3306 935 8 total total NOUN fuelectenerg-3306 935 9 of of ADP fuelectenerg-3306 935 10 896 896 NUM fuelectenerg-3306 935 11 bent bent ADJ fuelectenerg-3306 935 12 functions function NOUN fuelectenerg-3306 935 13 for for ADP fuelectenerg-3306 935 14 n n NOUN fuelectenerg-3306 935 15 = = SYM fuelectenerg-3306 935 16 4 4 NUM fuelectenerg-3306 935 17 require require VERB fuelectenerg-3306 935 18 4 4 NUM fuelectenerg-3306 935 19 to to PART fuelectenerg-3306 935 20 7 7 NUM fuelectenerg-3306 935 21 non non ADJ fuelectenerg-3306 935 22 - - ADJ fuelectenerg-3306 935 23 zero zero NUM fuelectenerg-3306 935 24 coefficients coefficient NOUN fuelectenerg-3306 935 25 . . PUNCT fuelectenerg-3306 936 1 this this PRON fuelectenerg-3306 936 2 makes make VERB fuelectenerg-3306 936 3 84 84 NUM fuelectenerg-3306 936 4 , , PUNCT fuelectenerg-3306 936 5 375 375 NUM fuelectenerg-3306 936 6 % % NOUN fuelectenerg-3306 936 7 of of ADP fuelectenerg-3306 936 8 the the DET fuelectenerg-3306 936 9 total total NOUN fuelectenerg-3306 936 10 of of ADP fuelectenerg-3306 936 11 bent bent ADJ fuelectenerg-3306 936 12 functions function NOUN fuelectenerg-3306 936 13 . . PUNCT fuelectenerg-3306 937 1 from from ADP fuelectenerg-3306 937 2 data datum NOUN fuelectenerg-3306 937 3 in in ADP fuelectenerg-3306 937 4 table table NOUN fuelectenerg-3306 937 5 1 1 NUM fuelectenerg-3306 937 6 , , PUNCT fuelectenerg-3306 937 7 it it PRON fuelectenerg-3306 937 8 can can AUX fuelectenerg-3306 937 9 be be AUX fuelectenerg-3306 937 10 seen see VERB fuelectenerg-3306 937 11 that that SCONJ fuelectenerg-3306 937 12 vertical vertical ADJ fuelectenerg-3306 937 13 subsets subset NOUN fuelectenerg-3306 937 14 v v ADP fuelectenerg-3306 937 15 ( ( PUNCT fuelectenerg-3306 937 16 5 5 NUM fuelectenerg-3306 937 17 ) ) PUNCT fuelectenerg-3306 937 18 and and CCONJ fuelectenerg-3306 937 19 v v X fuelectenerg-3306 937 20 ( ( PUNCT fuelectenerg-3306 937 21 6 6 NUM fuelectenerg-3306 937 22 ) ) PUNCT fuelectenerg-3306 937 23 contain contain VERB fuelectenerg-3306 937 24 more more ADJ fuelectenerg-3306 937 25 than than ADP fuelectenerg-3306 937 26 a a DET fuelectenerg-3306 937 27 half half NOUN fuelectenerg-3306 937 28 of of ADP fuelectenerg-3306 937 29 the the DET fuelectenerg-3306 937 30 total total ADJ fuelectenerg-3306 937 31 number number NOUN fuelectenerg-3306 937 32 of of ADP fuelectenerg-3306 937 33 bent bent ADJ fuelectenerg-3306 937 34 functions function NOUN fuelectenerg-3306 937 35 . . PUNCT fuelectenerg-3306 938 1 note note VERB fuelectenerg-3306 938 2 that that SCONJ fuelectenerg-3306 938 3 vertical vertical ADJ fuelectenerg-3306 938 4 subsets subset NOUN fuelectenerg-3306 938 5 v v ADP fuelectenerg-3306 938 6 ( ( PUNCT fuelectenerg-3306 938 7 2 2 NUM fuelectenerg-3306 938 8 ) ) PUNCT fuelectenerg-3306 938 9 , , PUNCT fuelectenerg-3306 938 10 v v X fuelectenerg-3306 938 11 ( ( PUNCT fuelectenerg-3306 938 12 10 10 NUM fuelectenerg-3306 938 13 ) ) PUNCT fuelectenerg-3306 938 14 , , PUNCT fuelectenerg-3306 938 15 and and CCONJ fuelectenerg-3306 938 16 v v X fuelectenerg-3306 938 17 ( ( PUNCT fuelectenerg-3306 938 18 11 11 NUM fuelectenerg-3306 938 19 ) ) PUNCT fuelectenerg-3306 938 20 contain contain VERB fuelectenerg-3306 938 21 small small ADJ fuelectenerg-3306 938 22 number number NOUN fuelectenerg-3306 938 23 of of ADP fuelectenerg-3306 938 24 the the DET fuelectenerg-3306 938 25 bent bent ADJ fuelectenerg-3306 938 26 functions function NOUN fuelectenerg-3306 938 27 . . PUNCT fuelectenerg-3306 939 1 table table NOUN fuelectenerg-3306 939 2 2 2 NUM fuelectenerg-3306 939 3 shows show VERB fuelectenerg-3306 939 4 the the DET fuelectenerg-3306 939 5 number number NOUN fuelectenerg-3306 939 6 of of ADP fuelectenerg-3306 939 7 bent bent ADJ fuelectenerg-3306 939 8 functions function NOUN fuelectenerg-3306 939 9 in in ADP fuelectenerg-3306 939 10 the the DET fuelectenerg-3306 939 11 most most ADJ fuelectenerg-3306 939 12 of of ADP fuelectenerg-3306 939 13 rm rm PROPN fuelectenerg-3306 939 14 vertical vertical ADJ fuelectenerg-3306 939 15 subsets subset NOUN fuelectenerg-3306 939 16 for for ADP fuelectenerg-3306 939 17 functions function NOUN fuelectenerg-3306 939 18 with with ADP fuelectenerg-3306 939 19 6 6 NUM fuelectenerg-3306 939 20 variables variable NOUN fuelectenerg-3306 939 21 . . PUNCT fuelectenerg-3306 940 1 from from ADP fuelectenerg-3306 940 2 data datum NOUN fuelectenerg-3306 940 3 in in ADP fuelectenerg-3306 940 4 table table NOUN fuelectenerg-3306 940 5 2 2 NUM fuelectenerg-3306 940 6 , , PUNCT fuelectenerg-3306 940 7 it it PRON fuelectenerg-3306 940 8 can can AUX fuelectenerg-3306 940 9 be be AUX fuelectenerg-3306 940 10 seen see VERB fuelectenerg-3306 940 11 again again ADV fuelectenerg-3306 940 12 that that SCONJ fuelectenerg-3306 940 13 central central ADJ fuelectenerg-3306 940 14 vertical vertical ADJ fuelectenerg-3306 940 15 subsets subset NOUN fuelectenerg-3306 940 16 contains contain VERB fuelectenerg-3306 940 17 large large ADJ fuelectenerg-3306 940 18 number number NOUN fuelectenerg-3306 940 19 of of ADP fuelectenerg-3306 940 20 the the DET fuelectenerg-3306 940 21 bent bent ADJ fuelectenerg-3306 940 22 functions function NOUN fuelectenerg-3306 940 23 . . PUNCT fuelectenerg-3306 941 1 for for ADP fuelectenerg-3306 941 2 example example NOUN fuelectenerg-3306 941 3 , , PUNCT fuelectenerg-3306 941 4 the the DET fuelectenerg-3306 941 5 rm rm PROPN fuelectenerg-3306 941 6 vertical vertical PROPN fuelectenerg-3306 941 7 subsets subsets PROPN fuelectenerg-3306 941 8 v v ADP fuelectenerg-3306 941 9 ( ( PUNCT fuelectenerg-3306 941 10 18 18 NUM fuelectenerg-3306 941 11 ) ) PUNCT fuelectenerg-3306 941 12 and and CCONJ fuelectenerg-3306 941 13 v v X fuelectenerg-3306 941 14 ( ( PUNCT fuelectenerg-3306 941 15 19 19 NUM fuelectenerg-3306 941 16 ) ) PUNCT fuelectenerg-3306 941 17 contain contain VERB fuelectenerg-3306 941 18 about about ADV fuelectenerg-3306 941 19 20 20 NUM fuelectenerg-3306 941 20 % % NOUN fuelectenerg-3306 941 21 of of ADP fuelectenerg-3306 941 22 the the DET fuelectenerg-3306 941 23 bent bent ADJ fuelectenerg-3306 941 24 functions function NOUN fuelectenerg-3306 941 25 . . PUNCT fuelectenerg-3306 942 1 again again ADV fuelectenerg-3306 942 2 , , PUNCT fuelectenerg-3306 942 3 note note VERB fuelectenerg-3306 942 4 that that SCONJ fuelectenerg-3306 942 5 vertical vertical ADJ fuelectenerg-3306 942 6 subsets subset NOUN fuelectenerg-3306 942 7 v v ADP fuelectenerg-3306 942 8 ( ( PUNCT fuelectenerg-3306 942 9 3 3 NUM fuelectenerg-3306 942 10 ) ) PUNCT fuelectenerg-3306 942 11 , , PUNCT fuelectenerg-3306 942 12 v v X fuelectenerg-3306 942 13 ( ( PUNCT fuelectenerg-3306 942 14 4 4 NUM fuelectenerg-3306 942 15 ) ) PUNCT fuelectenerg-3306 942 16 , , PUNCT fuelectenerg-3306 942 17 v v X fuelectenerg-3306 942 18 ( ( PUNCT fuelectenerg-3306 942 19 36 36 NUM fuelectenerg-3306 942 20 ) ) PUNCT fuelectenerg-3306 942 21 and and CCONJ fuelectenerg-3306 942 22 v v X fuelectenerg-3306 942 23 ( ( PUNCT fuelectenerg-3306 942 24 37 37 NUM fuelectenerg-3306 942 25 ) ) PUNCT fuelectenerg-3306 942 26 contain contain VERB fuelectenerg-3306 942 27 small small ADJ fuelectenerg-3306 942 28 number number NOUN fuelectenerg-3306 942 29 of of ADP fuelectenerg-3306 942 30 the the DET fuelectenerg-3306 942 31 bent bent ADJ fuelectenerg-3306 942 32 functions function NOUN fuelectenerg-3306 942 33 . . PUNCT fuelectenerg-3306 943 1 the the DET fuelectenerg-3306 943 2 numbers number NOUN fuelectenerg-3306 943 3 of of ADP fuelectenerg-3306 943 4 bent bent ADJ fuelectenerg-3306 943 5 functions function NOUN fuelectenerg-3306 943 6 for for ADP fuelectenerg-3306 943 7 the the DET fuelectenerg-3306 943 8 subsets subset NOUN fuelectenerg-3306 943 9 from from ADP fuelectenerg-3306 943 10 v v NUM fuelectenerg-3306 943 11 ( ( PUNCT fuelectenerg-3306 943 12 20 20 NUM fuelectenerg-3306 943 13 ) ) PUNCT fuelectenerg-3306 943 14 to to ADP fuelectenerg-3306 943 15 v v PROPN fuelectenerg-3306 943 16 ( ( PUNCT fuelectenerg-3306 943 17 27 27 NUM fuelectenerg-3306 943 18 ) ) PUNCT fuelectenerg-3306 943 19 are be AUX fuelectenerg-3306 943 20 not not PART fuelectenerg-3306 943 21 included include VERB fuelectenerg-3306 943 22 due due ADP fuelectenerg-3306 943 23 to to ADP fuelectenerg-3306 943 24 very very ADV fuelectenerg-3306 943 25 long long ADJ fuelectenerg-3306 943 26 computation computation NOUN fuelectenerg-3306 943 27 time time NOUN fuelectenerg-3306 943 28 . . PUNCT fuelectenerg-3306 944 1 table table NOUN fuelectenerg-3306 944 2 3 3 NUM fuelectenerg-3306 944 3 shows show VERB fuelectenerg-3306 944 4 the the DET fuelectenerg-3306 944 5 number number NOUN fuelectenerg-3306 944 6 of of ADP fuelectenerg-3306 944 7 bent bent ADJ fuelectenerg-3306 944 8 functions function NOUN fuelectenerg-3306 944 9 with with ADP fuelectenerg-3306 944 10 4 4 NUM fuelectenerg-3306 944 11 and and CCONJ fuelectenerg-3306 944 12 5 5 NUM fuelectenerg-3306 944 13 non non ADJ fuelectenerg-3306 944 14 - - ADJ fuelectenerg-3306 944 15 zero zero NUM fuelectenerg-3306 944 16 rm rm NOUN fuelectenerg-3306 944 17 coefficients coefficient NOUN fuelectenerg-3306 944 18 for for ADP fuelectenerg-3306 944 19 functions function NOUN fuelectenerg-3306 944 20 with with ADP fuelectenerg-3306 944 21 8 8 NUM fuelectenerg-3306 944 22 variables variable NOUN fuelectenerg-3306 944 23 . . PUNCT fuelectenerg-3306 945 1 it it PRON fuelectenerg-3306 945 2 is be AUX fuelectenerg-3306 945 3 again again ADV fuelectenerg-3306 945 4 confirmed confirm VERB fuelectenerg-3306 945 5 that that SCONJ fuelectenerg-3306 945 6 vertical vertical ADJ fuelectenerg-3306 945 7 subsets subset NOUN fuelectenerg-3306 945 8 with with ADP fuelectenerg-3306 945 9 small small ADJ fuelectenerg-3306 945 10 and and CCONJ fuelectenerg-3306 945 11 large large ADJ fuelectenerg-3306 945 12 number number NOUN fuelectenerg-3306 945 13 of of ADP fuelectenerg-3306 945 14 coefficients coefficient NOUN fuelectenerg-3306 945 15 do do AUX fuelectenerg-3306 945 16 not not PART fuelectenerg-3306 945 17 contain contain VERB fuelectenerg-3306 945 18 many many ADJ fuelectenerg-3306 945 19 bent bent ADJ fuelectenerg-3306 945 20 construction construction NOUN fuelectenerg-3306 945 21 of of ADP fuelectenerg-3306 945 22 subsets subset NOUN fuelectenerg-3306 945 23 of of ADP fuelectenerg-3306 945 24 bent bent ADJ fuelectenerg-3306 945 25 functions function NOUN fuelectenerg-3306 945 26 satisfying satisfy VERB fuelectenerg-3306 945 27 restrictions restriction NOUN fuelectenerg-3306 945 28 ... ... PUNCT fuelectenerg-3306 945 29 11 11 NUM fuelectenerg-3306 945 30 table table NOUN fuelectenerg-3306 945 31 1 1 NUM fuelectenerg-3306 945 32 : : PUNCT fuelectenerg-3306 945 33 the the DET fuelectenerg-3306 945 34 number number NOUN fuelectenerg-3306 945 35 of of ADP fuelectenerg-3306 945 36 bent bent ADJ fuelectenerg-3306 945 37 functions function NOUN fuelectenerg-3306 945 38 in in ADP fuelectenerg-3306 945 39 the the DET fuelectenerg-3306 945 40 subsets subset NOUN fuelectenerg-3306 945 41 v v ADP fuelectenerg-3306 945 42 ( ( PUNCT fuelectenerg-3306 945 43 k k NOUN fuelectenerg-3306 945 44 ) ) PUNCT fuelectenerg-3306 945 45 for for ADP fuelectenerg-3306 945 46 n n NOUN fuelectenerg-3306 945 47 = = SYM fuelectenerg-3306 945 48 4 4 NUM fuelectenerg-3306 945 49 variables variable NOUN fuelectenerg-3306 945 50 k k PROPN fuelectenerg-3306 946 1 # # SYM fuelectenerg-3306 946 2 f f NOUN fuelectenerg-3306 946 3 of of ADP fuelectenerg-3306 946 4 v v PROPN fuelectenerg-3306 946 5 ( ( PUNCT fuelectenerg-3306 946 6 k k NOUN fuelectenerg-3306 946 7 ) ) PUNCT fuelectenerg-3306 946 8 2 2 NUM fuelectenerg-3306 946 9 3 3 NUM fuelectenerg-3306 946 10 3 3 NUM fuelectenerg-3306 946 11 27 27 NUM fuelectenerg-3306 946 12 4 4 NUM fuelectenerg-3306 946 13 102 102 NUM fuelectenerg-3306 946 14 5 5 NUM fuelectenerg-3306 946 15 210 210 NUM fuelectenerg-3306 946 16 6 6 NUM fuelectenerg-3306 946 17 256 256 NUM fuelectenerg-3306 946 18 7 7 NUM fuelectenerg-3306 946 19 188 188 NUM fuelectenerg-3306 946 20 8 8 NUM fuelectenerg-3306 946 21 82 82 NUM fuelectenerg-3306 946 22 9 9 NUM fuelectenerg-3306 946 23 22 22 NUM fuelectenerg-3306 946 24 10 10 NUM fuelectenerg-3306 946 25 5 5 NUM fuelectenerg-3306 946 26 11 11 NUM fuelectenerg-3306 946 27 1 1 NUM fuelectenerg-3306 946 28 functions function NOUN fuelectenerg-3306 946 29 . . PUNCT fuelectenerg-3306 947 1 for for ADP fuelectenerg-3306 947 2 example example NOUN fuelectenerg-3306 947 3 , , PUNCT fuelectenerg-3306 947 4 experiments experiment NOUN fuelectenerg-3306 947 5 show show VERB fuelectenerg-3306 947 6 that that SCONJ fuelectenerg-3306 947 7 there there PRON fuelectenerg-3306 947 8 are be VERB fuelectenerg-3306 947 9 no no DET fuelectenerg-3306 947 10 bent bent ADJ fuelectenerg-3306 947 11 functions function NOUN fuelectenerg-3306 947 12 with with ADP fuelectenerg-3306 947 13 1,2 1,2 NUM fuelectenerg-3306 947 14 , , PUNCT fuelectenerg-3306 947 15 and and CCONJ fuelectenerg-3306 947 16 3 3 NUM fuelectenerg-3306 947 17 as as ADV fuelectenerg-3306 947 18 well well ADV fuelectenerg-3306 947 19 as as ADP fuelectenerg-3306 947 20 with with ADP fuelectenerg-3306 947 21 157 157 NUM fuelectenerg-3306 947 22 , , PUNCT fuelectenerg-3306 947 23 158 158 NUM fuelectenerg-3306 947 24 , , PUNCT fuelectenerg-3306 947 25 159 159 NUM fuelectenerg-3306 947 26 , , PUNCT fuelectenerg-3306 947 27 160 160 NUM fuelectenerg-3306 947 28 , , PUNCT fuelectenerg-3306 947 29 161 161 NUM fuelectenerg-3306 947 30 , , PUNCT fuelectenerg-3306 947 31 162 162 NUM fuelectenerg-3306 947 32 , , PUNCT fuelectenerg-3306 947 33 and and CCONJ fuelectenerg-3306 947 34 163 163 NUM fuelectenerg-3306 947 35 nonzero nonzero PROPN fuelectenerg-3306 947 36 rm rm NOUN fuelectenerg-3306 947 37 - - PUNCT fuelectenerg-3306 947 38 coefficients coefficient NOUN fuelectenerg-3306 947 39 . . PUNCT fuelectenerg-3306 948 1 note note VERB fuelectenerg-3306 948 2 that that SCONJ fuelectenerg-3306 948 3 the the DET fuelectenerg-3306 948 4 number number NOUN fuelectenerg-3306 948 5 of of ADP fuelectenerg-3306 948 6 ” " PUNCT fuelectenerg-3306 948 7 empty empty ADJ fuelectenerg-3306 948 8 ” " PUNCT fuelectenerg-3306 948 9 vertical vertical ADJ fuelectenerg-3306 948 10 subsets subset NOUN fuelectenerg-3306 948 11 with with ADP fuelectenerg-3306 948 12 small small ADJ fuelectenerg-3306 948 13 number number NOUN fuelectenerg-3306 948 14 of of ADP fuelectenerg-3306 948 15 coefficients coefficient NOUN fuelectenerg-3306 948 16 is be AUX fuelectenerg-3306 948 17 linearly linearly ADV fuelectenerg-3306 948 18 increases increase NOUN fuelectenerg-3306 948 19 in in ADP fuelectenerg-3306 948 20 the the DET fuelectenerg-3306 948 21 number number NOUN fuelectenerg-3306 948 22 of of ADP fuelectenerg-3306 948 23 variables variable NOUN fuelectenerg-3306 948 24 of of ADP fuelectenerg-3306 948 25 bent bent ADJ fuelectenerg-3306 948 26 functions function NOUN fuelectenerg-3306 948 27 . . PUNCT fuelectenerg-3306 949 1 moreover moreover ADV fuelectenerg-3306 949 2 , , PUNCT fuelectenerg-3306 949 3 ” " PUNCT fuelectenerg-3306 949 4 empty empty ADJ fuelectenerg-3306 949 5 ” " PUNCT fuelectenerg-3306 949 6 vertical vertical ADJ fuelectenerg-3306 949 7 subsets subset NOUN fuelectenerg-3306 949 8 with with ADP fuelectenerg-3306 949 9 great great ADJ fuelectenerg-3306 949 10 number number NOUN fuelectenerg-3306 949 11 of of ADP fuelectenerg-3306 949 12 coefficients coefficient NOUN fuelectenerg-3306 949 13 exponentially exponentially ADV fuelectenerg-3306 949 14 increase increase VERB fuelectenerg-3306 949 15 in in ADP fuelectenerg-3306 949 16 respect respect NOUN fuelectenerg-3306 949 17 to to ADP fuelectenerg-3306 949 18 number number NOUN fuelectenerg-3306 949 19 of of ADP fuelectenerg-3306 949 20 variables variable NOUN fuelectenerg-3306 949 21 of of ADP fuelectenerg-3306 949 22 bent bent ADJ fuelectenerg-3306 949 23 functions function NOUN fuelectenerg-3306 949 24 . . PUNCT fuelectenerg-3306 950 1 table table NOUN fuelectenerg-3306 950 2 4 4 NUM fuelectenerg-3306 950 3 shows show VERB fuelectenerg-3306 950 4 the the DET fuelectenerg-3306 950 5 number number NOUN fuelectenerg-3306 950 6 of of ADP fuelectenerg-3306 950 7 bent bent ADJ fuelectenerg-3306 950 8 functions function NOUN fuelectenerg-3306 950 9 in in ADP fuelectenerg-3306 950 10 some some DET fuelectenerg-3306 950 11 rm rm NOUN fuelectenerg-3306 950 12 horizontal horizontal ADJ fuelectenerg-3306 950 13 subsets subset NOUN fuelectenerg-3306 950 14 for for ADP fuelectenerg-3306 950 15 functions function NOUN fuelectenerg-3306 950 16 with with ADP fuelectenerg-3306 950 17 4 4 NUM fuelectenerg-3306 950 18 , , PUNCT fuelectenerg-3306 950 19 6 6 NUM fuelectenerg-3306 950 20 , , PUNCT fuelectenerg-3306 950 21 and and CCONJ fuelectenerg-3306 950 22 8 8 NUM fuelectenerg-3306 950 23 variables variable NOUN fuelectenerg-3306 950 24 . . PUNCT fuelectenerg-3306 951 1 it it PRON fuelectenerg-3306 951 2 is be AUX fuelectenerg-3306 951 3 evident evident ADJ fuelectenerg-3306 951 4 that that SCONJ fuelectenerg-3306 951 5 subsets subset NOUN fuelectenerg-3306 951 6 with with ADP fuelectenerg-3306 951 7 only only ADJ fuelectenerg-3306 951 8 third third ADJ fuelectenerg-3306 951 9 order order NOUN fuelectenerg-3306 951 10 non non ADJ fuelectenerg-3306 951 11 - - ADJ fuelectenerg-3306 951 12 zero zero NUM fuelectenerg-3306 951 13 rm rm NOUN fuelectenerg-3306 951 14 coefficients coefficient NOUN fuelectenerg-3306 951 15 contain contain VERB fuelectenerg-3306 951 16 very very ADV fuelectenerg-3306 951 17 small small ADJ fuelectenerg-3306 951 18 number number NOUN fuelectenerg-3306 951 19 of of ADP fuelectenerg-3306 951 20 bent bent ADJ fuelectenerg-3306 951 21 functions function NOUN fuelectenerg-3306 951 22 . . PUNCT fuelectenerg-3306 952 1 table table NOUN fuelectenerg-3306 952 2 5 5 NUM fuelectenerg-3306 952 3 , , PUNCT fuelectenerg-3306 952 4 6 6 NUM fuelectenerg-3306 952 5 , , PUNCT fuelectenerg-3306 952 6 and and CCONJ fuelectenerg-3306 952 7 7 7 NUM fuelectenerg-3306 952 8 shows show VERB fuelectenerg-3306 952 9 the the DET fuelectenerg-3306 952 10 number number NOUN fuelectenerg-3306 952 11 of of ADP fuelectenerg-3306 952 12 bent bent ADJ fuelectenerg-3306 952 13 functions function NOUN fuelectenerg-3306 952 14 in in ADP fuelectenerg-3306 952 15 some some DET fuelectenerg-3306 952 16 rm rm NOUN fuelectenerg-3306 952 17 grid grid NOUN fuelectenerg-3306 952 18 subsets subset NOUN fuelectenerg-3306 952 19 for for ADP fuelectenerg-3306 952 20 functions function NOUN fuelectenerg-3306 952 21 with with ADP fuelectenerg-3306 952 22 4 4 NUM fuelectenerg-3306 952 23 , , PUNCT fuelectenerg-3306 952 24 6 6 NUM fuelectenerg-3306 952 25 , , PUNCT fuelectenerg-3306 952 26 and and CCONJ fuelectenerg-3306 952 27 8 8 NUM fuelectenerg-3306 952 28 variables variable NOUN fuelectenerg-3306 952 29 , , PUNCT fuelectenerg-3306 952 30 respectively respectively ADV fuelectenerg-3306 952 31 . . PUNCT fuelectenerg-3306 953 1 it it PRON fuelectenerg-3306 953 2 is be AUX fuelectenerg-3306 953 3 evident evident ADJ fuelectenerg-3306 953 4 that that SCONJ fuelectenerg-3306 953 5 subsets subset NOUN fuelectenerg-3306 953 6 with with ADP fuelectenerg-3306 953 7 only only ADJ fuelectenerg-3306 953 8 second second ADJ fuelectenerg-3306 953 9 order order NOUN fuelectenerg-3306 953 10 non non ADJ fuelectenerg-3306 953 11 - - ADJ fuelectenerg-3306 953 12 zero zero NUM fuelectenerg-3306 953 13 rm rm NOUN fuelectenerg-3306 953 14 coefficients coefficient NOUN fuelectenerg-3306 953 15 contain contain VERB fuelectenerg-3306 953 16 large large ADJ fuelectenerg-3306 953 17 number number NOUN fuelectenerg-3306 953 18 of of ADP fuelectenerg-3306 953 19 functions function NOUN fuelectenerg-3306 953 20 , , PUNCT fuelectenerg-3306 953 21 especially especially ADV fuelectenerg-3306 953 22 in in ADP fuelectenerg-3306 953 23 central central ADJ fuelectenerg-3306 953 24 grid grid NOUN fuelectenerg-3306 953 25 subsets subset NOUN fuelectenerg-3306 953 26 with with ADP fuelectenerg-3306 953 27 respect respect NOUN fuelectenerg-3306 953 28 to to ADP fuelectenerg-3306 953 29 the the DET fuelectenerg-3306 953 30 total total ADJ fuelectenerg-3306 953 31 number number NOUN fuelectenerg-3306 953 32 of of ADP fuelectenerg-3306 953 33 coefficients coefficient NOUN fuelectenerg-3306 953 34 of of ADP fuelectenerg-3306 953 35 only only ADJ fuelectenerg-3306 953 36 second second ADJ fuelectenerg-3306 953 37 order order NOUN fuelectenerg-3306 953 38 . . PUNCT fuelectenerg-3306 954 1 it it PRON fuelectenerg-3306 954 2 is be AUX fuelectenerg-3306 954 3 interesting interesting ADJ fuelectenerg-3306 954 4 that that SCONJ fuelectenerg-3306 954 5 there there PRON fuelectenerg-3306 954 6 are be VERB fuelectenerg-3306 954 7 only only ADV fuelectenerg-3306 954 8 two two NUM fuelectenerg-3306 954 9 non-”empty non-”empty ADJ fuelectenerg-3306 954 10 ” " PUNCT fuelectenerg-3306 954 11 grid grid NOUN fuelectenerg-3306 954 12 subsets subset NOUN fuelectenerg-3306 954 13 for for ADP fuelectenerg-3306 954 14 functions function NOUN fuelectenerg-3306 954 15 with with ADP fuelectenerg-3306 954 16 6 6 NUM fuelectenerg-3306 954 17 variables variable NOUN fuelectenerg-3306 954 18 with with ADP fuelectenerg-3306 954 19 only only ADJ fuelectenerg-3306 954 20 third third ADJ fuelectenerg-3306 954 21 order order NOUN fuelectenerg-3306 954 22 non non ADJ fuelectenerg-3306 954 23 - - ADJ fuelectenerg-3306 954 24 zero zero NUM fuelectenerg-3306 954 25 rm rm NOUN fuelectenerg-3306 954 26 coefficients coefficient NOUN fuelectenerg-3306 954 27 . . PUNCT fuelectenerg-3306 955 1 it it PRON fuelectenerg-3306 955 2 is be AUX fuelectenerg-3306 955 3 evident evident ADJ fuelectenerg-3306 955 4 that that SCONJ fuelectenerg-3306 955 5 most most ADJ fuelectenerg-3306 955 6 of of ADP fuelectenerg-3306 955 7 bent bent ADJ fuelectenerg-3306 955 8 functions function NOUN fuelectenerg-3306 955 9 are be AUX fuelectenerg-3306 955 10 with with ADP fuelectenerg-3306 955 11 mixture mixture NOUN fuelectenerg-3306 955 12 of of ADP fuelectenerg-3306 955 13 first first ADJ fuelectenerg-3306 955 14 , , PUNCT fuelectenerg-3306 955 15 second second ADJ fuelectenerg-3306 955 16 , , PUNCT fuelectenerg-3306 955 17 and and CCONJ fuelectenerg-3306 955 18 third third ADJ fuelectenerg-3306 955 19 order order NOUN fuelectenerg-3306 955 20 of of ADP fuelectenerg-3306 955 21 non non ADJ fuelectenerg-3306 955 22 - - ADJ fuelectenerg-3306 955 23 zero zero NUM fuelectenerg-3306 955 24 rm rm NOUN fuelectenerg-3306 955 25 coefficients coefficient NOUN fuelectenerg-3306 955 26 . . PUNCT fuelectenerg-3306 956 1 experiments experiment NOUN fuelectenerg-3306 956 2 with with ADP fuelectenerg-3306 956 3 mixture mixture NOUN fuelectenerg-3306 956 4 of of ADP fuelectenerg-3306 956 5 different different ADJ fuelectenerg-3306 956 6 orders order NOUN fuelectenerg-3306 956 7 of of ADP fuelectenerg-3306 956 8 coefficients coefficient NOUN fuelectenerg-3306 956 9 are be AUX fuelectenerg-3306 956 10 not not PART fuelectenerg-3306 956 11 included include VERB fuelectenerg-3306 956 12 in in ADP fuelectenerg-3306 956 13 this this DET fuelectenerg-3306 956 14 paper paper NOUN fuelectenerg-3306 956 15 . . PUNCT fuelectenerg-3306 957 1 216 216 NUM fuelectenerg-3306 957 2 m. m. NOUN fuelectenerg-3306 957 3 radmanović radmanović NOUN fuelectenerg-3306 957 4 , , PUNCT fuelectenerg-3306 957 5 r. r. PROPN fuelectenerg-3306 957 6 s. s. PROPN fuelectenerg-3306 957 7 stanković stanković PROPN fuelectenerg-3306 957 8 construction construction NOUN fuelectenerg-3306 957 9 of of ADP fuelectenerg-3306 957 10 subsets subset NOUN fuelectenerg-3306 957 11 of of ADP fuelectenerg-3306 957 12 bent bent ADJ fuelectenerg-3306 957 13 functions function NOUN fuelectenerg-3306 957 14 satisfying satisfy VERB fuelectenerg-3306 957 15 restrictions restriction NOUN fuelectenerg-3306 957 16 ... ... PUNCT fuelectenerg-3306 957 17 217 217 NUM fuelectenerg-3306 957 18 12 12 NUM fuelectenerg-3306 957 19 m. m. NOUN fuelectenerg-3306 957 20 radmanović radmanović PROPN fuelectenerg-3306 957 21 and and CCONJ fuelectenerg-3306 957 22 r. r. PROPN fuelectenerg-3306 957 23 stanković stanković PROPN fuelectenerg-3306 957 24 table table NOUN fuelectenerg-3306 958 1 2 2 NUM fuelectenerg-3306 958 2 : : PUNCT fuelectenerg-3306 958 3 the the DET fuelectenerg-3306 958 4 number number NOUN fuelectenerg-3306 958 5 of of ADP fuelectenerg-3306 958 6 bent bent ADJ fuelectenerg-3306 958 7 functions function NOUN fuelectenerg-3306 958 8 in in ADP fuelectenerg-3306 958 9 the the DET fuelectenerg-3306 958 10 subsets subset NOUN fuelectenerg-3306 958 11 v v ADP fuelectenerg-3306 958 12 ( ( PUNCT fuelectenerg-3306 958 13 k k NOUN fuelectenerg-3306 958 14 ) ) PUNCT fuelectenerg-3306 958 15 for for ADP fuelectenerg-3306 958 16 n n NOUN fuelectenerg-3306 958 17 = = SYM fuelectenerg-3306 958 18 6 6 NUM fuelectenerg-3306 958 19 variables variable NOUN fuelectenerg-3306 958 20 k k PROPN fuelectenerg-3306 958 21 # # SYM fuelectenerg-3306 958 22 f f NOUN fuelectenerg-3306 958 23 of of ADP fuelectenerg-3306 958 24 v v PROPN fuelectenerg-3306 958 25 ( ( PUNCT fuelectenerg-3306 958 26 k k NOUN fuelectenerg-3306 958 27 ) ) PUNCT fuelectenerg-3306 958 28 3 3 NUM fuelectenerg-3306 958 29 15 15 NUM fuelectenerg-3306 958 30 4 4 NUM fuelectenerg-3306 958 31 405 405 NUM fuelectenerg-3306 958 32 5 5 NUM fuelectenerg-3306 958 33 4575 4575 NUM fuelectenerg-3306 958 34 6 6 NUM fuelectenerg-3306 958 35 30885 30885 NUM fuelectenerg-3306 958 36 7 7 NUM fuelectenerg-3306 958 37 147630 147630 NUM fuelectenerg-3306 958 38 8 8 NUM fuelectenerg-3306 958 39 548190 548190 NUM fuelectenerg-3306 958 40 9 9 NUM fuelectenerg-3306 958 41 1657950 1657950 NUM fuelectenerg-3306 958 42 10 10 NUM fuelectenerg-3306 958 43 4239474 4239474 NUM fuelectenerg-3306 958 44 11 11 NUM fuelectenerg-3306 958 45 9512343 9512343 NUM fuelectenerg-3306 958 46 12 12 NUM fuelectenerg-3306 958 47 19341969 19341969 NUM fuelectenerg-3306 958 48 13 13 NUM fuelectenerg-3306 958 49 36536505 36536505 NUM fuelectenerg-3306 958 50 14 14 NUM fuelectenerg-3306 958 51 65365185 65365185 NUM fuelectenerg-3306 958 52 15 15 NUM fuelectenerg-3306 958 53 112296016 112296016 NUM fuelectenerg-3306 958 54 16 16 NUM fuelectenerg-3306 958 55 185615422 185615422 NUM fuelectenerg-3306 958 56 17 17 NUM fuelectenerg-3306 958 57 290719416 290719416 NUM fuelectenerg-3306 958 58 18 18 NUM fuelectenerg-3306 958 59 420742250 420742250 NUM fuelectenerg-3306 958 60 19 19 NUM fuelectenerg-3306 958 61 551175695 551175695 NUM fuelectenerg-3306 958 62 28 28 NUM fuelectenerg-3306 958 63 57338355 57338355 NUM fuelectenerg-3306 958 64 29 29 NUM fuelectenerg-3306 958 65 25754775 25754775 NUM fuelectenerg-3306 958 66 30 30 NUM fuelectenerg-3306 958 67 9869427 9869427 NUM fuelectenerg-3306 958 68 31 31 NUM fuelectenerg-3306 958 69 3098124 3098124 NUM fuelectenerg-3306 958 70 32 32 NUM fuelectenerg-3306 958 71 770562 770562 NUM fuelectenerg-3306 958 72 33 33 NUM fuelectenerg-3306 958 73 153060 153060 NUM fuelectenerg-3306 958 74 34 34 NUM fuelectenerg-3306 958 75 26070 26070 NUM fuelectenerg-3306 958 76 35 35 NUM fuelectenerg-3306 958 77 3882 3882 NUM fuelectenerg-3306 958 78 36 36 NUM fuelectenerg-3306 958 79 504 504 NUM fuelectenerg-3306 958 80 37 37 NUM fuelectenerg-3306 958 81 72 72 NUM fuelectenerg-3306 958 82 table table NOUN fuelectenerg-3306 958 83 3 3 NUM fuelectenerg-3306 958 84 : : PUNCT fuelectenerg-3306 958 85 the the DET fuelectenerg-3306 958 86 number number NOUN fuelectenerg-3306 958 87 of of ADP fuelectenerg-3306 958 88 bent bent ADJ fuelectenerg-3306 958 89 functions function NOUN fuelectenerg-3306 958 90 in in ADP fuelectenerg-3306 958 91 the the DET fuelectenerg-3306 958 92 subsets subset NOUN fuelectenerg-3306 958 93 v v ADP fuelectenerg-3306 958 94 ( ( PUNCT fuelectenerg-3306 958 95 k k NOUN fuelectenerg-3306 958 96 ) ) PUNCT fuelectenerg-3306 958 97 for for ADP fuelectenerg-3306 958 98 n n NOUN fuelectenerg-3306 958 99 = = SYM fuelectenerg-3306 958 100 8 8 NUM fuelectenerg-3306 958 101 variables variable NOUN fuelectenerg-3306 958 102 k k PROPN fuelectenerg-3306 958 103 # # SYM fuelectenerg-3306 958 104 f f NOUN fuelectenerg-3306 958 105 of of ADP fuelectenerg-3306 958 106 v v PROPN fuelectenerg-3306 958 107 ( ( PUNCT fuelectenerg-3306 958 108 k k NOUN fuelectenerg-3306 958 109 ) ) PUNCT fuelectenerg-3306 958 110 4 4 NUM fuelectenerg-3306 958 111 105 105 NUM fuelectenerg-3306 958 112 5 5 NUM fuelectenerg-3306 958 113 8505 8505 NUM fuelectenerg-3306 958 114 5 5 NUM fuelectenerg-3306 958 115 conclusion conclusion NOUN fuelectenerg-3306 958 116 for for ADP fuelectenerg-3306 958 117 practical practical ADJ fuelectenerg-3306 958 118 cryptographic cryptographic ADJ fuelectenerg-3306 958 119 applications application NOUN fuelectenerg-3306 958 120 , , PUNCT fuelectenerg-3306 958 121 it it PRON fuelectenerg-3306 958 122 is be AUX fuelectenerg-3306 958 123 often often ADV fuelectenerg-3306 958 124 necessary necessary ADJ fuelectenerg-3306 958 125 to to PART fuelectenerg-3306 958 126 generate generate VERB fuelectenerg-3306 958 127 random random ADJ fuelectenerg-3306 958 128 bent bent ADJ fuelectenerg-3306 958 129 functions function NOUN fuelectenerg-3306 958 130 . . PUNCT fuelectenerg-3306 959 1 the the DET fuelectenerg-3306 959 2 runtime runtime NOUN fuelectenerg-3306 959 3 of of ADP fuelectenerg-3306 959 4 an an DET fuelectenerg-3306 959 5 exhaustive exhaustive ADJ fuelectenerg-3306 959 6 search search NOUN fuelectenerg-3306 959 7 method method NOUN fuelectenerg-3306 959 8 for for ADP fuelectenerg-3306 959 9 218 218 NUM fuelectenerg-3306 959 10 m. m. NOUN fuelectenerg-3306 959 11 radmanović radmanović NOUN fuelectenerg-3306 959 12 , , PUNCT fuelectenerg-3306 959 13 r. r. PROPN fuelectenerg-3306 959 14 s. s. PROPN fuelectenerg-3306 959 15 stanković stanković PROPN fuelectenerg-3306 959 16 construction construction NOUN fuelectenerg-3306 959 17 of of ADP fuelectenerg-3306 959 18 subsets subset NOUN fuelectenerg-3306 959 19 of of ADP fuelectenerg-3306 959 20 bent bent ADJ fuelectenerg-3306 959 21 functions function NOUN fuelectenerg-3306 959 22 satisfying satisfy VERB fuelectenerg-3306 959 23 restrictions restriction NOUN fuelectenerg-3306 959 24 ... ... PUNCT fuelectenerg-3306 959 25 219 219 NUM fuelectenerg-3306 959 26 12 12 NUM fuelectenerg-3306 959 27 m. m. NOUN fuelectenerg-3306 959 28 radmanović radmanović PROPN fuelectenerg-3306 959 29 and and CCONJ fuelectenerg-3306 959 30 r. r. PROPN fuelectenerg-3306 959 31 stanković stanković PROPN fuelectenerg-3306 959 32 table table NOUN fuelectenerg-3306 959 33 2 2 NUM fuelectenerg-3306 959 34 : : PUNCT fuelectenerg-3306 959 35 the the DET fuelectenerg-3306 959 36 number number NOUN fuelectenerg-3306 959 37 of of ADP fuelectenerg-3306 959 38 bent bent ADJ fuelectenerg-3306 959 39 functions function NOUN fuelectenerg-3306 959 40 in in ADP fuelectenerg-3306 959 41 the the DET fuelectenerg-3306 959 42 subsets subset NOUN fuelectenerg-3306 959 43 v v ADP fuelectenerg-3306 959 44 ( ( PUNCT fuelectenerg-3306 959 45 k k NOUN fuelectenerg-3306 959 46 ) ) PUNCT fuelectenerg-3306 959 47 for for ADP fuelectenerg-3306 959 48 n n NOUN fuelectenerg-3306 959 49 = = SYM fuelectenerg-3306 959 50 6 6 NUM fuelectenerg-3306 959 51 variables variable NOUN fuelectenerg-3306 959 52 k k PROPN fuelectenerg-3306 959 53 # # SYM fuelectenerg-3306 959 54 f f NOUN fuelectenerg-3306 959 55 of of ADP fuelectenerg-3306 959 56 v v PROPN fuelectenerg-3306 959 57 ( ( PUNCT fuelectenerg-3306 959 58 k k NOUN fuelectenerg-3306 959 59 ) ) PUNCT fuelectenerg-3306 959 60 3 3 NUM fuelectenerg-3306 959 61 15 15 NUM fuelectenerg-3306 959 62 4 4 NUM fuelectenerg-3306 959 63 405 405 NUM fuelectenerg-3306 959 64 5 5 NUM fuelectenerg-3306 959 65 4575 4575 NUM fuelectenerg-3306 959 66 6 6 NUM fuelectenerg-3306 959 67 30885 30885 NUM fuelectenerg-3306 959 68 7 7 NUM fuelectenerg-3306 959 69 147630 147630 NUM fuelectenerg-3306 959 70 8 8 NUM fuelectenerg-3306 959 71 548190 548190 NUM fuelectenerg-3306 959 72 9 9 NUM fuelectenerg-3306 959 73 1657950 1657950 NUM fuelectenerg-3306 959 74 10 10 NUM fuelectenerg-3306 959 75 4239474 4239474 NUM fuelectenerg-3306 959 76 11 11 NUM fuelectenerg-3306 959 77 9512343 9512343 NUM fuelectenerg-3306 959 78 12 12 NUM fuelectenerg-3306 959 79 19341969 19341969 NUM fuelectenerg-3306 959 80 13 13 NUM fuelectenerg-3306 959 81 36536505 36536505 NUM fuelectenerg-3306 959 82 14 14 NUM fuelectenerg-3306 959 83 65365185 65365185 NUM fuelectenerg-3306 959 84 15 15 NUM fuelectenerg-3306 959 85 112296016 112296016 NUM fuelectenerg-3306 959 86 16 16 NUM fuelectenerg-3306 959 87 185615422 185615422 NUM fuelectenerg-3306 959 88 17 17 NUM fuelectenerg-3306 959 89 290719416 290719416 NUM fuelectenerg-3306 959 90 18 18 NUM fuelectenerg-3306 959 91 420742250 420742250 NUM fuelectenerg-3306 959 92 19 19 NUM fuelectenerg-3306 959 93 551175695 551175695 NUM fuelectenerg-3306 959 94 28 28 NUM fuelectenerg-3306 959 95 57338355 57338355 NUM fuelectenerg-3306 959 96 29 29 NUM fuelectenerg-3306 959 97 25754775 25754775 NUM fuelectenerg-3306 959 98 30 30 NUM fuelectenerg-3306 959 99 9869427 9869427 NUM fuelectenerg-3306 959 100 31 31 NUM fuelectenerg-3306 959 101 3098124 3098124 NUM fuelectenerg-3306 959 102 32 32 NUM fuelectenerg-3306 959 103 770562 770562 NUM fuelectenerg-3306 959 104 33 33 NUM fuelectenerg-3306 959 105 153060 153060 NUM fuelectenerg-3306 959 106 34 34 NUM fuelectenerg-3306 959 107 26070 26070 NUM fuelectenerg-3306 959 108 35 35 NUM fuelectenerg-3306 959 109 3882 3882 NUM fuelectenerg-3306 959 110 36 36 NUM fuelectenerg-3306 959 111 504 504 NUM fuelectenerg-3306 959 112 37 37 NUM fuelectenerg-3306 959 113 72 72 NUM fuelectenerg-3306 959 114 table table NOUN fuelectenerg-3306 959 115 3 3 NUM fuelectenerg-3306 959 116 : : PUNCT fuelectenerg-3306 959 117 the the DET fuelectenerg-3306 959 118 number number NOUN fuelectenerg-3306 959 119 of of ADP fuelectenerg-3306 959 120 bent bent ADJ fuelectenerg-3306 959 121 functions function NOUN fuelectenerg-3306 959 122 in in ADP fuelectenerg-3306 959 123 the the DET fuelectenerg-3306 959 124 subsets subset NOUN fuelectenerg-3306 959 125 v v ADP fuelectenerg-3306 959 126 ( ( PUNCT fuelectenerg-3306 959 127 k k NOUN fuelectenerg-3306 959 128 ) ) PUNCT fuelectenerg-3306 959 129 for for ADP fuelectenerg-3306 959 130 n n NOUN fuelectenerg-3306 959 131 = = SYM fuelectenerg-3306 959 132 8 8 NUM fuelectenerg-3306 959 133 variables variable NOUN fuelectenerg-3306 959 134 k k PROPN fuelectenerg-3306 960 1 # # SYM fuelectenerg-3306 960 2 f f NOUN fuelectenerg-3306 960 3 of of ADP fuelectenerg-3306 960 4 v v PROPN fuelectenerg-3306 960 5 ( ( PUNCT fuelectenerg-3306 960 6 k k NOUN fuelectenerg-3306 960 7 ) ) PUNCT fuelectenerg-3306 960 8 4 4 NUM fuelectenerg-3306 960 9 105 105 NUM fuelectenerg-3306 960 10 5 5 NUM fuelectenerg-3306 960 11 8505 8505 NUM fuelectenerg-3306 960 12 5 5 NUM fuelectenerg-3306 960 13 conclusion conclusion NOUN fuelectenerg-3306 960 14 for for ADP fuelectenerg-3306 960 15 practical practical ADJ fuelectenerg-3306 960 16 cryptographic cryptographic ADJ fuelectenerg-3306 960 17 applications application NOUN fuelectenerg-3306 960 18 , , PUNCT fuelectenerg-3306 960 19 it it PRON fuelectenerg-3306 960 20 is be AUX fuelectenerg-3306 960 21 often often ADV fuelectenerg-3306 960 22 necessary necessary ADJ fuelectenerg-3306 960 23 to to PART fuelectenerg-3306 960 24 generate generate VERB fuelectenerg-3306 960 25 random random ADJ fuelectenerg-3306 960 26 bent bent ADJ fuelectenerg-3306 960 27 functions function NOUN fuelectenerg-3306 960 28 . . PUNCT fuelectenerg-3306 961 1 the the DET fuelectenerg-3306 961 2 runtime runtime NOUN fuelectenerg-3306 961 3 of of ADP fuelectenerg-3306 961 4 an an DET fuelectenerg-3306 961 5 exhaustive exhaustive ADJ fuelectenerg-3306 961 6 search search NOUN fuelectenerg-3306 961 7 method method NOUN fuelectenerg-3306 961 8 for for ADP fuelectenerg-3306 961 9 construction construction NOUN fuelectenerg-3306 961 10 of of ADP fuelectenerg-3306 961 11 subsets subset NOUN fuelectenerg-3306 961 12 of of ADP fuelectenerg-3306 961 13 bent bent ADJ fuelectenerg-3306 961 14 functions function NOUN fuelectenerg-3306 961 15 satisfying satisfy VERB fuelectenerg-3306 961 16 restrictions restriction NOUN fuelectenerg-3306 961 17 ... ... PUNCT fuelectenerg-3306 961 18 13 13 NUM fuelectenerg-3306 961 19 table table NOUN fuelectenerg-3306 961 20 4 4 NUM fuelectenerg-3306 961 21 : : PUNCT fuelectenerg-3306 961 22 the the DET fuelectenerg-3306 961 23 number number NOUN fuelectenerg-3306 961 24 of of ADP fuelectenerg-3306 961 25 bent bent ADJ fuelectenerg-3306 961 26 functions function NOUN fuelectenerg-3306 961 27 in in ADP fuelectenerg-3306 961 28 some some DET fuelectenerg-3306 961 29 subsets subset NOUN fuelectenerg-3306 961 30 h(kmin h(kmin NOUN fuelectenerg-3306 961 31 , , PUNCT fuelectenerg-3306 961 32 kmax kmax PROPN fuelectenerg-3306 961 33 ) ) PUNCT fuelectenerg-3306 961 34 for for ADP fuelectenerg-3306 961 35 n n PRON fuelectenerg-3306 961 36 = = NOUN fuelectenerg-3306 961 37 4,6 4,6 NUM fuelectenerg-3306 961 38 , , PUNCT fuelectenerg-3306 961 39 and and CCONJ fuelectenerg-3306 961 40 , , PUNCT fuelectenerg-3306 961 41 8 8 NUM fuelectenerg-3306 961 42 variables variable NOUN fuelectenerg-3306 961 43 n n PRON fuelectenerg-3306 961 44 kmin kmin NOUN fuelectenerg-3306 961 45 , , PUNCT fuelectenerg-3306 961 46 kmax kmax PROPN fuelectenerg-3306 961 47 # # SYM fuelectenerg-3306 961 48 f f PROPN fuelectenerg-3306 961 49 of of ADP fuelectenerg-3306 961 50 h(kmin h(kmin NOUN fuelectenerg-3306 961 51 , , PUNCT fuelectenerg-3306 961 52 kmax kmax PROPN fuelectenerg-3306 961 53 ) ) PUNCT fuelectenerg-3306 961 54 4 4 NUM fuelectenerg-3306 961 55 2,2 2,2 NUM fuelectenerg-3306 961 56 24 24 NUM fuelectenerg-3306 961 57 6 6 NUM fuelectenerg-3306 961 58 2,2 2,2 NUM fuelectenerg-3306 961 59 13440 13440 NUM fuelectenerg-3306 961 60 6 6 NUM fuelectenerg-3306 961 61 3,3 3,3 NUM fuelectenerg-3306 961 62 12 12 NUM fuelectenerg-3306 961 63 8 8 NUM fuelectenerg-3306 961 64 2,2 2,2 NUM fuelectenerg-3306 961 65 111992832 111992832 NUM fuelectenerg-3306 961 66 table table NOUN fuelectenerg-3306 961 67 5 5 NUM fuelectenerg-3306 961 68 : : PUNCT fuelectenerg-3306 961 69 the the DET fuelectenerg-3306 961 70 number number NOUN fuelectenerg-3306 961 71 of of ADP fuelectenerg-3306 961 72 bent bent ADJ fuelectenerg-3306 961 73 functions function NOUN fuelectenerg-3306 961 74 in in ADP fuelectenerg-3306 961 75 some some DET fuelectenerg-3306 961 76 subsets subset NOUN fuelectenerg-3306 961 77 g(k g(k PROPN fuelectenerg-3306 961 78 , , PUNCT fuelectenerg-3306 961 79 kmin kmin NOUN fuelectenerg-3306 961 80 , , PUNCT fuelectenerg-3306 961 81 kmax kmax PROPN fuelectenerg-3306 961 82 ) ) PUNCT fuelectenerg-3306 961 83 for for ADP fuelectenerg-3306 961 84 n n NOUN fuelectenerg-3306 961 85 = = SYM fuelectenerg-3306 961 86 4 4 NUM fuelectenerg-3306 961 87 variables variable NOUN fuelectenerg-3306 961 88 k k PROPN fuelectenerg-3306 961 89 , , PUNCT fuelectenerg-3306 961 90 kmin kmin PROPN fuelectenerg-3306 961 91 , , PUNCT fuelectenerg-3306 961 92 kmax kmax PROPN fuelectenerg-3306 961 93 # # SYM fuelectenerg-3306 961 94 f f NOUN fuelectenerg-3306 961 95 of of ADP fuelectenerg-3306 961 96 g(k g(k PROPN fuelectenerg-3306 961 97 , , PUNCT fuelectenerg-3306 961 98 kmin kmin NOUN fuelectenerg-3306 961 99 , , PUNCT fuelectenerg-3306 961 100 kmax kmax PROPN fuelectenerg-3306 961 101 ) ) PUNCT fuelectenerg-3306 961 102 2,2,2 2,2,2 NUM fuelectenerg-3306 961 103 2 2 NUM fuelectenerg-3306 961 104 3,2,2 3,2,2 NUM fuelectenerg-3306 961 105 8 8 NUM fuelectenerg-3306 961 106 4,2,2 4,2,2 NUM fuelectenerg-3306 961 107 10 10 NUM fuelectenerg-3306 961 108 5,2,2 5,2,2 NUM fuelectenerg-3306 961 109 4 4 NUM fuelectenerg-3306 961 110 table table NOUN fuelectenerg-3306 961 111 6 6 NUM fuelectenerg-3306 961 112 : : PUNCT fuelectenerg-3306 961 113 the the DET fuelectenerg-3306 961 114 number number NOUN fuelectenerg-3306 961 115 of of ADP fuelectenerg-3306 961 116 bent bent ADJ fuelectenerg-3306 961 117 functions function NOUN fuelectenerg-3306 961 118 in in ADP fuelectenerg-3306 961 119 some some DET fuelectenerg-3306 961 120 subsets subset NOUN fuelectenerg-3306 961 121 g(k g(k PROPN fuelectenerg-3306 961 122 , , PUNCT fuelectenerg-3306 961 123 kmin kmin NOUN fuelectenerg-3306 961 124 , , PUNCT fuelectenerg-3306 961 125 kmax kmax PROPN fuelectenerg-3306 961 126 ) ) PUNCT fuelectenerg-3306 961 127 for for ADP fuelectenerg-3306 961 128 n n NOUN fuelectenerg-3306 961 129 = = SYM fuelectenerg-3306 961 130 6 6 NUM fuelectenerg-3306 961 131 variables variable NOUN fuelectenerg-3306 961 132 k k PROPN fuelectenerg-3306 961 133 , , PUNCT fuelectenerg-3306 961 134 kmin kmin PROPN fuelectenerg-3306 961 135 , , PUNCT fuelectenerg-3306 961 136 kmax kmax PROPN fuelectenerg-3306 961 137 # # SYM fuelectenerg-3306 961 138 f f NOUN fuelectenerg-3306 961 139 of of ADP fuelectenerg-3306 961 140 g(k g(k PROPN fuelectenerg-3306 961 141 , , PUNCT fuelectenerg-3306 961 142 kmin kmin NOUN fuelectenerg-3306 961 143 , , PUNCT fuelectenerg-3306 961 144 kmax kmax PROPN fuelectenerg-3306 961 145 ) ) PUNCT fuelectenerg-3306 961 146 3,2,2 3,2,2 NUM fuelectenerg-3306 961 147 12 12 NUM fuelectenerg-3306 961 148 4,2,2 4,2,2 NUM fuelectenerg-3306 961 149 144 144 NUM fuelectenerg-3306 961 150 5,2,2 5,2,2 NUM fuelectenerg-3306 961 151 732 732 NUM fuelectenerg-3306 961 152 6,2,2 6,2,2 NUM fuelectenerg-3306 961 153 1968 1968 NUM fuelectenerg-3306 961 154 7,2,2 7,2,2 NUM fuelectenerg-3306 961 155 3008 3008 NUM fuelectenerg-3306 961 156 8,2,2 8,2,2 NUM fuelectenerg-3306 961 157 3040 3040 NUM fuelectenerg-3306 961 158 9,2,2 9,2,2 NUM fuelectenerg-3306 961 159 2360 2360 NUM fuelectenerg-3306 961 160 10,2,2 10,2,2 NUM fuelectenerg-3306 961 161 1384 1384 NUM fuelectenerg-3306 961 162 11,2,2 11,2,2 NUM fuelectenerg-3306 961 163 564 564 NUM fuelectenerg-3306 961 164 12,2,2 12,2,2 NUM fuelectenerg-3306 961 165 176 176 NUM fuelectenerg-3306 961 166 13,2,2 13,2,2 NUM fuelectenerg-3306 961 167 44 44 NUM fuelectenerg-3306 961 168 14,2,2 14,2,2 NUM fuelectenerg-3306 961 169 8 8 NUM fuelectenerg-3306 961 170 16,3,3 16,3,3 NUM fuelectenerg-3306 961 171 6 6 NUM fuelectenerg-3306 961 172 17,3,3 17,3,3 NUM fuelectenerg-3306 961 173 6 6 NUM fuelectenerg-3306 961 174 generation generation NOUN fuelectenerg-3306 961 175 of of ADP fuelectenerg-3306 961 176 bent bent ADJ fuelectenerg-3306 961 177 function function NOUN fuelectenerg-3306 961 178 is be AUX fuelectenerg-3306 961 179 exponential exponential ADJ fuelectenerg-3306 961 180 in in ADP fuelectenerg-3306 961 181 terms term NOUN fuelectenerg-3306 961 182 of of ADP fuelectenerg-3306 961 183 the the DET fuelectenerg-3306 961 184 number number NOUN fuelectenerg-3306 961 185 of of ADP fuelectenerg-3306 961 186 variables variable NOUN fuelectenerg-3306 961 187 . . PUNCT fuelectenerg-3306 962 1 in in ADP fuelectenerg-3306 962 2 this this DET fuelectenerg-3306 962 3 paper paper NOUN fuelectenerg-3306 962 4 , , PUNCT fuelectenerg-3306 962 5 we we PRON fuelectenerg-3306 962 6 propose propose VERB fuelectenerg-3306 962 7 an an DET fuelectenerg-3306 962 8 approach approach NOUN fuelectenerg-3306 962 9 to to ADP fuelectenerg-3306 962 10 the the DET fuelectenerg-3306 962 11 restriction restriction NOUN fuelectenerg-3306 962 12 of of ADP fuelectenerg-3306 962 13 the the DET fuelectenerg-3306 962 14 search search NOUN fuelectenerg-3306 962 15 space space NOUN fuelectenerg-3306 962 16 based base VERB fuelectenerg-3306 962 17 on on ADP fuelectenerg-3306 962 18 the the DET fuelectenerg-3306 962 19 restriction restriction NOUN fuelectenerg-3306 962 20 of of ADP fuelectenerg-3306 962 21 the the DET fuelectenerg-3306 962 22 number number NOUN fuelectenerg-3306 962 23 and and CCONJ fuelectenerg-3306 962 24 order order NOUN fuelectenerg-3306 962 25 of of ADP fuelectenerg-3306 962 26 rm rm NOUN fuelectenerg-3306 962 27 - - PUNCT fuelectenerg-3306 962 28 coefficients coefficient NOUN fuelectenerg-3306 962 29 for for ADP fuelectenerg-3306 962 30 bent bent ADJ fuelectenerg-3306 962 31 functions function NOUN fuelectenerg-3306 962 32 . . PUNCT fuelectenerg-3306 963 1 using use VERB fuelectenerg-3306 963 2 properties property NOUN fuelectenerg-3306 963 3 of of ADP fuelectenerg-3306 963 4 bent bent ADJ fuelectenerg-3306 963 5 function function NOUN fuelectenerg-3306 963 6 in in ADP fuelectenerg-3306 963 7 rm rm NOUN fuelectenerg-3306 963 8 domain domain NOUN fuelectenerg-3306 963 9 , , PUNCT fuelectenerg-3306 963 10 we we PRON fuelectenerg-3306 963 11 define define VERB fuelectenerg-3306 963 12 rm rm PROPN fuelectenerg-3306 963 13 vertical vertical NOUN fuelectenerg-3306 963 14 , , PUNCT fuelectenerg-3306 963 15 12 12 NUM fuelectenerg-3306 963 16 m. m. NOUN fuelectenerg-3306 963 17 radmanović radmanović PROPN fuelectenerg-3306 963 18 and and CCONJ fuelectenerg-3306 963 19 r. r. PROPN fuelectenerg-3306 963 20 stanković stanković PROPN fuelectenerg-3306 963 21 table table NOUN fuelectenerg-3306 964 1 2 2 NUM fuelectenerg-3306 964 2 : : PUNCT fuelectenerg-3306 964 3 the the DET fuelectenerg-3306 964 4 number number NOUN fuelectenerg-3306 964 5 of of ADP fuelectenerg-3306 964 6 bent bent ADJ fuelectenerg-3306 964 7 functions function NOUN fuelectenerg-3306 964 8 in in ADP fuelectenerg-3306 964 9 the the DET fuelectenerg-3306 964 10 subsets subset NOUN fuelectenerg-3306 964 11 v v ADP fuelectenerg-3306 964 12 ( ( PUNCT fuelectenerg-3306 964 13 k k NOUN fuelectenerg-3306 964 14 ) ) PUNCT fuelectenerg-3306 964 15 for for ADP fuelectenerg-3306 964 16 n n NOUN fuelectenerg-3306 964 17 = = SYM fuelectenerg-3306 964 18 6 6 NUM fuelectenerg-3306 964 19 variables variable NOUN fuelectenerg-3306 964 20 k k PROPN fuelectenerg-3306 964 21 # # SYM fuelectenerg-3306 964 22 f f NOUN fuelectenerg-3306 964 23 of of ADP fuelectenerg-3306 964 24 v v PROPN fuelectenerg-3306 964 25 ( ( PUNCT fuelectenerg-3306 964 26 k k NOUN fuelectenerg-3306 964 27 ) ) PUNCT fuelectenerg-3306 964 28 3 3 NUM fuelectenerg-3306 964 29 15 15 NUM fuelectenerg-3306 964 30 4 4 NUM fuelectenerg-3306 964 31 405 405 NUM fuelectenerg-3306 964 32 5 5 NUM fuelectenerg-3306 964 33 4575 4575 NUM fuelectenerg-3306 964 34 6 6 NUM fuelectenerg-3306 964 35 30885 30885 NUM fuelectenerg-3306 964 36 7 7 NUM fuelectenerg-3306 964 37 147630 147630 NUM fuelectenerg-3306 964 38 8 8 NUM fuelectenerg-3306 964 39 548190 548190 NUM fuelectenerg-3306 964 40 9 9 NUM fuelectenerg-3306 964 41 1657950 1657950 NUM fuelectenerg-3306 964 42 10 10 NUM fuelectenerg-3306 964 43 4239474 4239474 NUM fuelectenerg-3306 964 44 11 11 NUM fuelectenerg-3306 964 45 9512343 9512343 NUM fuelectenerg-3306 964 46 12 12 NUM fuelectenerg-3306 964 47 19341969 19341969 NUM fuelectenerg-3306 964 48 13 13 NUM fuelectenerg-3306 964 49 36536505 36536505 NUM fuelectenerg-3306 964 50 14 14 NUM fuelectenerg-3306 964 51 65365185 65365185 NUM fuelectenerg-3306 964 52 15 15 NUM fuelectenerg-3306 964 53 112296016 112296016 NUM fuelectenerg-3306 964 54 16 16 NUM fuelectenerg-3306 964 55 185615422 185615422 NUM fuelectenerg-3306 964 56 17 17 NUM fuelectenerg-3306 964 57 290719416 290719416 NUM fuelectenerg-3306 964 58 18 18 NUM fuelectenerg-3306 964 59 420742250 420742250 NUM fuelectenerg-3306 964 60 19 19 NUM fuelectenerg-3306 964 61 551175695 551175695 NUM fuelectenerg-3306 964 62 28 28 NUM fuelectenerg-3306 964 63 57338355 57338355 NUM fuelectenerg-3306 964 64 29 29 NUM fuelectenerg-3306 964 65 25754775 25754775 NUM fuelectenerg-3306 964 66 30 30 NUM fuelectenerg-3306 964 67 9869427 9869427 NUM fuelectenerg-3306 964 68 31 31 NUM fuelectenerg-3306 964 69 3098124 3098124 NUM fuelectenerg-3306 964 70 32 32 NUM fuelectenerg-3306 964 71 770562 770562 NUM fuelectenerg-3306 964 72 33 33 NUM fuelectenerg-3306 964 73 153060 153060 NUM fuelectenerg-3306 964 74 34 34 NUM fuelectenerg-3306 964 75 26070 26070 NUM fuelectenerg-3306 964 76 35 35 NUM fuelectenerg-3306 964 77 3882 3882 NUM fuelectenerg-3306 964 78 36 36 NUM fuelectenerg-3306 964 79 504 504 NUM fuelectenerg-3306 964 80 37 37 NUM fuelectenerg-3306 964 81 72 72 NUM fuelectenerg-3306 964 82 table table NOUN fuelectenerg-3306 964 83 3 3 NUM fuelectenerg-3306 964 84 : : PUNCT fuelectenerg-3306 964 85 the the DET fuelectenerg-3306 964 86 number number NOUN fuelectenerg-3306 964 87 of of ADP fuelectenerg-3306 964 88 bent bent ADJ fuelectenerg-3306 964 89 functions function NOUN fuelectenerg-3306 964 90 in in ADP fuelectenerg-3306 964 91 the the DET fuelectenerg-3306 964 92 subsets subset NOUN fuelectenerg-3306 964 93 v v ADP fuelectenerg-3306 964 94 ( ( PUNCT fuelectenerg-3306 964 95 k k NOUN fuelectenerg-3306 964 96 ) ) PUNCT fuelectenerg-3306 964 97 for for ADP fuelectenerg-3306 964 98 n n NOUN fuelectenerg-3306 964 99 = = SYM fuelectenerg-3306 964 100 8 8 NUM fuelectenerg-3306 964 101 variables variable NOUN fuelectenerg-3306 964 102 k k PROPN fuelectenerg-3306 964 103 # # SYM fuelectenerg-3306 964 104 f f NOUN fuelectenerg-3306 964 105 of of ADP fuelectenerg-3306 964 106 v v PROPN fuelectenerg-3306 964 107 ( ( PUNCT fuelectenerg-3306 964 108 k k NOUN fuelectenerg-3306 964 109 ) ) PUNCT fuelectenerg-3306 964 110 4 4 NUM fuelectenerg-3306 964 111 105 105 NUM fuelectenerg-3306 964 112 5 5 NUM fuelectenerg-3306 964 113 8505 8505 NUM fuelectenerg-3306 964 114 5 5 NUM fuelectenerg-3306 964 115 conclusion conclusion NOUN fuelectenerg-3306 964 116 for for ADP fuelectenerg-3306 964 117 practical practical ADJ fuelectenerg-3306 964 118 cryptographic cryptographic ADJ fuelectenerg-3306 964 119 applications application NOUN fuelectenerg-3306 964 120 , , PUNCT fuelectenerg-3306 964 121 it it PRON fuelectenerg-3306 964 122 is be AUX fuelectenerg-3306 964 123 often often ADV fuelectenerg-3306 964 124 necessary necessary ADJ fuelectenerg-3306 964 125 to to PART fuelectenerg-3306 964 126 generate generate VERB fuelectenerg-3306 964 127 random random ADJ fuelectenerg-3306 964 128 bent bent ADJ fuelectenerg-3306 964 129 functions function NOUN fuelectenerg-3306 964 130 . . PUNCT fuelectenerg-3306 965 1 the the DET fuelectenerg-3306 965 2 runtime runtime NOUN fuelectenerg-3306 965 3 of of ADP fuelectenerg-3306 965 4 an an DET fuelectenerg-3306 965 5 exhaustive exhaustive ADJ fuelectenerg-3306 965 6 search search NOUN fuelectenerg-3306 965 7 method method NOUN fuelectenerg-3306 965 8 for for ADP fuelectenerg-3306 965 9 construction construction NOUN fuelectenerg-3306 965 10 of of ADP fuelectenerg-3306 965 11 subsets subset NOUN fuelectenerg-3306 965 12 of of ADP fuelectenerg-3306 965 13 bent bent ADJ fuelectenerg-3306 965 14 functions function NOUN fuelectenerg-3306 965 15 satisfying satisfy VERB fuelectenerg-3306 965 16 restrictions restriction NOUN fuelectenerg-3306 965 17 ... ... PUNCT fuelectenerg-3306 965 18 13 13 NUM fuelectenerg-3306 965 19 table table NOUN fuelectenerg-3306 965 20 4 4 NUM fuelectenerg-3306 965 21 : : PUNCT fuelectenerg-3306 965 22 the the DET fuelectenerg-3306 965 23 number number NOUN fuelectenerg-3306 965 24 of of ADP fuelectenerg-3306 965 25 bent bent ADJ fuelectenerg-3306 965 26 functions function NOUN fuelectenerg-3306 965 27 in in ADP fuelectenerg-3306 965 28 some some DET fuelectenerg-3306 965 29 subsets subset NOUN fuelectenerg-3306 965 30 h(kmin h(kmin NOUN fuelectenerg-3306 965 31 , , PUNCT fuelectenerg-3306 965 32 kmax kmax PROPN fuelectenerg-3306 965 33 ) ) PUNCT fuelectenerg-3306 965 34 for for ADP fuelectenerg-3306 965 35 n n PRON fuelectenerg-3306 965 36 = = NOUN fuelectenerg-3306 965 37 4,6 4,6 NUM fuelectenerg-3306 965 38 , , PUNCT fuelectenerg-3306 965 39 and and CCONJ fuelectenerg-3306 965 40 , , PUNCT fuelectenerg-3306 965 41 8 8 NUM fuelectenerg-3306 965 42 variables variable NOUN fuelectenerg-3306 965 43 n n PRON fuelectenerg-3306 965 44 kmin kmin NOUN fuelectenerg-3306 965 45 , , PUNCT fuelectenerg-3306 965 46 kmax kmax PROPN fuelectenerg-3306 965 47 # # SYM fuelectenerg-3306 965 48 f f PROPN fuelectenerg-3306 965 49 of of ADP fuelectenerg-3306 965 50 h(kmin h(kmin NOUN fuelectenerg-3306 965 51 , , PUNCT fuelectenerg-3306 965 52 kmax kmax PROPN fuelectenerg-3306 965 53 ) ) PUNCT fuelectenerg-3306 965 54 4 4 NUM fuelectenerg-3306 965 55 2,2 2,2 NUM fuelectenerg-3306 965 56 24 24 NUM fuelectenerg-3306 965 57 6 6 NUM fuelectenerg-3306 965 58 2,2 2,2 NUM fuelectenerg-3306 965 59 13440 13440 NUM fuelectenerg-3306 965 60 6 6 NUM fuelectenerg-3306 965 61 3,3 3,3 NUM fuelectenerg-3306 965 62 12 12 NUM fuelectenerg-3306 965 63 8 8 NUM fuelectenerg-3306 965 64 2,2 2,2 NUM fuelectenerg-3306 965 65 111992832 111992832 NUM fuelectenerg-3306 965 66 table table NOUN fuelectenerg-3306 965 67 5 5 NUM fuelectenerg-3306 965 68 : : PUNCT fuelectenerg-3306 965 69 the the DET fuelectenerg-3306 965 70 number number NOUN fuelectenerg-3306 965 71 of of ADP fuelectenerg-3306 965 72 bent bent ADJ fuelectenerg-3306 965 73 functions function NOUN fuelectenerg-3306 965 74 in in ADP fuelectenerg-3306 965 75 some some DET fuelectenerg-3306 965 76 subsets subset NOUN fuelectenerg-3306 965 77 g(k g(k PROPN fuelectenerg-3306 965 78 , , PUNCT fuelectenerg-3306 965 79 kmin kmin NOUN fuelectenerg-3306 965 80 , , PUNCT fuelectenerg-3306 965 81 kmax kmax PROPN fuelectenerg-3306 965 82 ) ) PUNCT fuelectenerg-3306 965 83 for for ADP fuelectenerg-3306 965 84 n n NOUN fuelectenerg-3306 965 85 = = SYM fuelectenerg-3306 965 86 4 4 NUM fuelectenerg-3306 965 87 variables variable NOUN fuelectenerg-3306 965 88 k k PROPN fuelectenerg-3306 965 89 , , PUNCT fuelectenerg-3306 965 90 kmin kmin PROPN fuelectenerg-3306 965 91 , , PUNCT fuelectenerg-3306 965 92 kmax kmax PROPN fuelectenerg-3306 965 93 # # SYM fuelectenerg-3306 965 94 f f NOUN fuelectenerg-3306 965 95 of of ADP fuelectenerg-3306 965 96 g(k g(k PROPN fuelectenerg-3306 965 97 , , PUNCT fuelectenerg-3306 965 98 kmin kmin NOUN fuelectenerg-3306 965 99 , , PUNCT fuelectenerg-3306 965 100 kmax kmax PROPN fuelectenerg-3306 965 101 ) ) PUNCT fuelectenerg-3306 965 102 2,2,2 2,2,2 NUM fuelectenerg-3306 965 103 2 2 NUM fuelectenerg-3306 965 104 3,2,2 3,2,2 NUM fuelectenerg-3306 965 105 8 8 NUM fuelectenerg-3306 965 106 4,2,2 4,2,2 NUM fuelectenerg-3306 965 107 10 10 NUM fuelectenerg-3306 965 108 5,2,2 5,2,2 NUM fuelectenerg-3306 965 109 4 4 NUM fuelectenerg-3306 965 110 table table NOUN fuelectenerg-3306 965 111 6 6 NUM fuelectenerg-3306 965 112 : : PUNCT fuelectenerg-3306 965 113 the the DET fuelectenerg-3306 965 114 number number NOUN fuelectenerg-3306 965 115 of of ADP fuelectenerg-3306 965 116 bent bent ADJ fuelectenerg-3306 965 117 functions function NOUN fuelectenerg-3306 965 118 in in ADP fuelectenerg-3306 965 119 some some DET fuelectenerg-3306 965 120 subsets subset NOUN fuelectenerg-3306 965 121 g(k g(k PROPN fuelectenerg-3306 965 122 , , PUNCT fuelectenerg-3306 965 123 kmin kmin NOUN fuelectenerg-3306 965 124 , , PUNCT fuelectenerg-3306 965 125 kmax kmax PROPN fuelectenerg-3306 965 126 ) ) PUNCT fuelectenerg-3306 965 127 for for ADP fuelectenerg-3306 965 128 n n NOUN fuelectenerg-3306 965 129 = = SYM fuelectenerg-3306 965 130 6 6 NUM fuelectenerg-3306 965 131 variables variable NOUN fuelectenerg-3306 965 132 k k PROPN fuelectenerg-3306 965 133 , , PUNCT fuelectenerg-3306 965 134 kmin kmin PROPN fuelectenerg-3306 965 135 , , PUNCT fuelectenerg-3306 965 136 kmax kmax PROPN fuelectenerg-3306 965 137 # # SYM fuelectenerg-3306 965 138 f f NOUN fuelectenerg-3306 965 139 of of ADP fuelectenerg-3306 965 140 g(k g(k PROPN fuelectenerg-3306 965 141 , , PUNCT fuelectenerg-3306 965 142 kmin kmin NOUN fuelectenerg-3306 965 143 , , PUNCT fuelectenerg-3306 965 144 kmax kmax PROPN fuelectenerg-3306 965 145 ) ) PUNCT fuelectenerg-3306 965 146 3,2,2 3,2,2 NUM fuelectenerg-3306 965 147 12 12 NUM fuelectenerg-3306 965 148 4,2,2 4,2,2 NUM fuelectenerg-3306 965 149 144 144 NUM fuelectenerg-3306 965 150 5,2,2 5,2,2 NUM fuelectenerg-3306 965 151 732 732 NUM fuelectenerg-3306 965 152 6,2,2 6,2,2 NUM fuelectenerg-3306 965 153 1968 1968 NUM fuelectenerg-3306 965 154 7,2,2 7,2,2 NUM fuelectenerg-3306 965 155 3008 3008 NUM fuelectenerg-3306 965 156 8,2,2 8,2,2 NUM fuelectenerg-3306 965 157 3040 3040 NUM fuelectenerg-3306 965 158 9,2,2 9,2,2 NUM fuelectenerg-3306 965 159 2360 2360 NUM fuelectenerg-3306 965 160 10,2,2 10,2,2 NUM fuelectenerg-3306 965 161 1384 1384 NUM fuelectenerg-3306 965 162 11,2,2 11,2,2 NUM fuelectenerg-3306 965 163 564 564 NUM fuelectenerg-3306 965 164 12,2,2 12,2,2 NUM fuelectenerg-3306 965 165 176 176 NUM fuelectenerg-3306 965 166 13,2,2 13,2,2 NUM fuelectenerg-3306 965 167 44 44 NUM fuelectenerg-3306 965 168 14,2,2 14,2,2 NUM fuelectenerg-3306 965 169 8 8 NUM fuelectenerg-3306 965 170 16,3,3 16,3,3 NUM fuelectenerg-3306 965 171 6 6 NUM fuelectenerg-3306 965 172 17,3,3 17,3,3 NUM fuelectenerg-3306 965 173 6 6 NUM fuelectenerg-3306 965 174 generation generation NOUN fuelectenerg-3306 965 175 of of ADP fuelectenerg-3306 965 176 bent bent ADJ fuelectenerg-3306 965 177 function function NOUN fuelectenerg-3306 965 178 is be AUX fuelectenerg-3306 965 179 exponential exponential ADJ fuelectenerg-3306 965 180 in in ADP fuelectenerg-3306 965 181 terms term NOUN fuelectenerg-3306 965 182 of of ADP fuelectenerg-3306 965 183 the the DET fuelectenerg-3306 965 184 number number NOUN fuelectenerg-3306 965 185 of of ADP fuelectenerg-3306 965 186 variables variable NOUN fuelectenerg-3306 965 187 . . PUNCT fuelectenerg-3306 966 1 in in ADP fuelectenerg-3306 966 2 this this DET fuelectenerg-3306 966 3 paper paper NOUN fuelectenerg-3306 966 4 , , PUNCT fuelectenerg-3306 966 5 we we PRON fuelectenerg-3306 966 6 propose propose VERB fuelectenerg-3306 966 7 an an DET fuelectenerg-3306 966 8 approach approach NOUN fuelectenerg-3306 966 9 to to ADP fuelectenerg-3306 966 10 the the DET fuelectenerg-3306 966 11 restriction restriction NOUN fuelectenerg-3306 966 12 of of ADP fuelectenerg-3306 966 13 the the DET fuelectenerg-3306 966 14 search search NOUN fuelectenerg-3306 966 15 space space NOUN fuelectenerg-3306 966 16 based base VERB fuelectenerg-3306 966 17 on on ADP fuelectenerg-3306 966 18 the the DET fuelectenerg-3306 966 19 restriction restriction NOUN fuelectenerg-3306 966 20 of of ADP fuelectenerg-3306 966 21 the the DET fuelectenerg-3306 966 22 number number NOUN fuelectenerg-3306 966 23 and and CCONJ fuelectenerg-3306 966 24 order order NOUN fuelectenerg-3306 966 25 of of ADP fuelectenerg-3306 966 26 rm rm NOUN fuelectenerg-3306 966 27 - - PUNCT fuelectenerg-3306 966 28 coefficients coefficient NOUN fuelectenerg-3306 966 29 for for ADP fuelectenerg-3306 966 30 bent bent ADJ fuelectenerg-3306 966 31 functions function NOUN fuelectenerg-3306 966 32 . . PUNCT fuelectenerg-3306 967 1 using use VERB fuelectenerg-3306 967 2 properties property NOUN fuelectenerg-3306 967 3 of of ADP fuelectenerg-3306 967 4 bent bent ADJ fuelectenerg-3306 967 5 function function NOUN fuelectenerg-3306 967 6 in in ADP fuelectenerg-3306 967 7 rm rm NOUN fuelectenerg-3306 967 8 domain domain NOUN fuelectenerg-3306 967 9 , , PUNCT fuelectenerg-3306 967 10 we we PRON fuelectenerg-3306 967 11 define define VERB fuelectenerg-3306 967 12 rm rm PROPN fuelectenerg-3306 967 13 vertical vertical NOUN fuelectenerg-3306 967 14 , , PUNCT fuelectenerg-3306 967 15 218 218 NUM fuelectenerg-3306 967 16 m. m. NOUN fuelectenerg-3306 967 17 radmanović radmanović NOUN fuelectenerg-3306 967 18 , , PUNCT fuelectenerg-3306 967 19 r. r. PROPN fuelectenerg-3306 967 20 s. s. PROPN fuelectenerg-3306 967 21 stanković stanković PROPN fuelectenerg-3306 967 22 construction construction NOUN fuelectenerg-3306 967 23 of of ADP fuelectenerg-3306 967 24 subsets subset NOUN fuelectenerg-3306 967 25 of of ADP fuelectenerg-3306 967 26 bent bent ADJ fuelectenerg-3306 967 27 functions function NOUN fuelectenerg-3306 967 28 satisfying satisfy VERB fuelectenerg-3306 967 29 restrictions restriction NOUN fuelectenerg-3306 967 30 ... ... PUNCT fuelectenerg-3306 967 31 219 219 NUM fuelectenerg-3306 967 32 14 14 NUM fuelectenerg-3306 967 33 m. m. NOUN fuelectenerg-3306 967 34 radmanović radmanović PROPN fuelectenerg-3306 967 35 and and CCONJ fuelectenerg-3306 967 36 r. r. PROPN fuelectenerg-3306 967 37 stanković stanković PROPN fuelectenerg-3306 967 38 table table PROPN fuelectenerg-3306 967 39 7 7 NUM fuelectenerg-3306 967 40 : : PUNCT fuelectenerg-3306 967 41 the the DET fuelectenerg-3306 967 42 number number NOUN fuelectenerg-3306 967 43 of of ADP fuelectenerg-3306 967 44 bent bent ADJ fuelectenerg-3306 967 45 functions function NOUN fuelectenerg-3306 967 46 in in ADP fuelectenerg-3306 967 47 some some DET fuelectenerg-3306 967 48 subsets subset NOUN fuelectenerg-3306 967 49 g(k g(k PROPN fuelectenerg-3306 967 50 , , PUNCT fuelectenerg-3306 967 51 kmin kmin NOUN fuelectenerg-3306 967 52 , , PUNCT fuelectenerg-3306 967 53 kmax kmax PROPN fuelectenerg-3306 967 54 ) ) PUNCT fuelectenerg-3306 967 55 for for ADP fuelectenerg-3306 967 56 n n NOUN fuelectenerg-3306 967 57 = = SYM fuelectenerg-3306 967 58 8 8 NUM fuelectenerg-3306 967 59 variables variable NOUN fuelectenerg-3306 967 60 k k PROPN fuelectenerg-3306 967 61 , , PUNCT fuelectenerg-3306 967 62 kmin kmin PROPN fuelectenerg-3306 967 63 , , PUNCT fuelectenerg-3306 967 64 kmax kmax PROPN fuelectenerg-3306 967 65 # # SYM fuelectenerg-3306 967 66 f f NOUN fuelectenerg-3306 967 67 of of ADP fuelectenerg-3306 967 68 g(k g(k PROPN fuelectenerg-3306 967 69 , , PUNCT fuelectenerg-3306 967 70 kmin kmin NOUN fuelectenerg-3306 967 71 , , PUNCT fuelectenerg-3306 967 72 kmax kmax PROPN fuelectenerg-3306 967 73 ) ) PUNCT fuelectenerg-3306 968 1 2,2,2 2,2,2 NUM fuelectenerg-3306 968 2 2 2 NUM fuelectenerg-3306 968 3 3,2,2 3,2,2 NUM fuelectenerg-3306 968 4 8 8 NUM fuelectenerg-3306 968 5 4,2,2 4,2,2 NUM fuelectenerg-3306 968 6 90 90 NUM fuelectenerg-3306 968 7 5,2,2 5,2,2 NUM fuelectenerg-3306 968 8 2160 2160 NUM fuelectenerg-3306 968 9 6,2,2 6,2,2 NUM fuelectenerg-3306 968 10 23850 23850 NUM fuelectenerg-3306 968 11 7,2,2 7,2,2 NUM fuelectenerg-3306 968 12 157860 157860 NUM fuelectenerg-3306 968 13 8,2,2 8,2,2 NUM fuelectenerg-3306 968 14 687030 687030 NUM fuelectenerg-3306 968 15 9,2,2 9,2,2 NUM fuelectenerg-3306 968 16 2081400 2081400 NUM fuelectenerg-3306 968 17 10,2,2 10,2,2 NUM fuelectenerg-3306 968 18 4753710 4753710 NUM fuelectenerg-3306 968 19 11,2,2 11,2,2 NUM fuelectenerg-3306 968 20 8640684 8640684 NUM fuelectenerg-3306 968 21 12,2,2 12,2,2 NUM fuelectenerg-3306 968 22 12897908 12897908 NUM fuelectenerg-3306 968 23 13,2,2 13,2,2 NUM fuelectenerg-3306 968 24 16181264 16181264 NUM fuelectenerg-3306 968 25 14,2,2 14,2,2 NUM fuelectenerg-3306 968 26 17405460 17405460 NUM fuelectenerg-3306 968 27 15,2,2 15,2,2 NUM fuelectenerg-3306 968 28 16291480 16291480 NUM fuelectenerg-3306 968 29 16,2,2 16,2,2 NUM fuelectenerg-3306 968 30 13230940 13230940 NUM fuelectenerg-3306 968 31 17,2,2 17,2,2 NUM fuelectenerg-3306 968 32 9215136 9215136 NUM fuelectenerg-3306 968 33 18,2,2 18,2,2 NUM fuelectenerg-3306 968 34 5554956 5554956 NUM fuelectenerg-3306 968 35 19,2,2 19,2,2 NUM fuelectenerg-3306 968 36 2907720 2907720 NUM fuelectenerg-3306 968 37 20,2,2 20,2,2 NUM fuelectenerg-3306 968 38 1277010 1277010 NUM fuelectenerg-3306 968 39 21,2,2 21,2,2 NUM fuelectenerg-3306 968 40 476288 476288 NUM fuelectenerg-3306 968 41 22,2,2 22,2,2 NUM fuelectenerg-3306 968 42 157730 157730 NUM fuelectenerg-3306 968 43 23,2,2 23,2,2 NUM fuelectenerg-3306 968 44 41412 41412 NUM fuelectenerg-3306 968 45 24,2,2 24,2,2 NUM fuelectenerg-3306 968 46 7630 7630 NUM fuelectenerg-3306 968 47 25,2,2 25,2,2 NUM fuelectenerg-3306 968 48 1000 1000 NUM fuelectenerg-3306 968 49 26,2,2 26,2,2 NUM fuelectenerg-3306 968 50 102 102 NUM fuelectenerg-3306 968 51 27,2,2 27,2,2 NUM fuelectenerg-3306 968 52 12 12 NUM fuelectenerg-3306 968 53 horizontal horizontal ADJ fuelectenerg-3306 968 54 , , PUNCT fuelectenerg-3306 968 55 and and CCONJ fuelectenerg-3306 968 56 grid grid NOUN fuelectenerg-3306 968 57 subsets subset NOUN fuelectenerg-3306 968 58 of of ADP fuelectenerg-3306 968 59 boolean boolean ADJ fuelectenerg-3306 968 60 functions function NOUN fuelectenerg-3306 968 61 that that PRON fuelectenerg-3306 968 62 might might AUX fuelectenerg-3306 968 63 contain contain VERB fuelectenerg-3306 968 64 bent bent ADJ fuelectenerg-3306 968 65 functions function NOUN fuelectenerg-3306 968 66 . . PUNCT fuelectenerg-3306 969 1 the the DET fuelectenerg-3306 969 2 proposed propose VERB fuelectenerg-3306 969 3 approach approach NOUN fuelectenerg-3306 969 4 is be AUX fuelectenerg-3306 969 5 experimentally experimentally ADV fuelectenerg-3306 969 6 verified verify VERB fuelectenerg-3306 969 7 through through ADP fuelectenerg-3306 969 8 enumeration enumeration NOUN fuelectenerg-3306 969 9 of of ADP fuelectenerg-3306 969 10 bent bent ADJ fuelectenerg-3306 969 11 functions function NOUN fuelectenerg-3306 969 12 in in ADP fuelectenerg-3306 969 13 some some DET fuelectenerg-3306 969 14 rm rm NOUN fuelectenerg-3306 969 15 vertical vertical NOUN fuelectenerg-3306 969 16 , , PUNCT fuelectenerg-3306 969 17 horizontal horizontal ADJ fuelectenerg-3306 969 18 , , PUNCT fuelectenerg-3306 969 19 and and CCONJ fuelectenerg-3306 969 20 grid grid NOUN fuelectenerg-3306 969 21 subsets subset NOUN fuelectenerg-3306 969 22 for for ADP fuelectenerg-3306 969 23 functions function NOUN fuelectenerg-3306 969 24 with with ADP fuelectenerg-3306 969 25 4 4 NUM fuelectenerg-3306 969 26 , , PUNCT fuelectenerg-3306 969 27 6 6 NUM fuelectenerg-3306 969 28 , , PUNCT fuelectenerg-3306 969 29 and and CCONJ fuelectenerg-3306 969 30 8 8 NUM fuelectenerg-3306 969 31 variables variable NOUN fuelectenerg-3306 969 32 . . PUNCT fuelectenerg-3306 970 1 experimental experimental ADJ fuelectenerg-3306 970 2 results result NOUN fuelectenerg-3306 970 3 showed show VERB fuelectenerg-3306 970 4 some some DET fuelectenerg-3306 970 5 interesting interesting ADJ fuelectenerg-3306 970 6 properties property NOUN fuelectenerg-3306 970 7 of of ADP fuelectenerg-3306 970 8 different different ADJ fuelectenerg-3306 970 9 subsets subset NOUN fuelectenerg-3306 970 10 in in ADP fuelectenerg-3306 970 11 the the DET fuelectenerg-3306 970 12 spectral spectral ADJ fuelectenerg-3306 970 13 reed reed PROPN fuelectenerg-3306 970 14 - - PUNCT fuelectenerg-3306 970 15 muller muller NOUN fuelectenerg-3306 970 16 domain domain NOUN fuelectenerg-3306 970 17 . . PUNCT fuelectenerg-3306 971 1 it it PRON fuelectenerg-3306 971 2 is be AUX fuelectenerg-3306 971 3 shown show VERB fuelectenerg-3306 971 4 that that SCONJ fuelectenerg-3306 971 5 some some DET fuelectenerg-3306 971 6 vertical vertical ADJ fuelectenerg-3306 971 7 , , PUNCT fuelectenerg-3306 971 8 horizontal horizontal ADJ fuelectenerg-3306 971 9 and and CCONJ fuelectenerg-3306 971 10 grid grid NOUN fuelectenerg-3306 971 11 subsets subset NOUN fuelectenerg-3306 971 12 contain contain VERB fuelectenerg-3306 971 13 large large ADJ fuelectenerg-3306 971 14 and and CCONJ fuelectenerg-3306 971 15 small small ADJ fuelectenerg-3306 971 16 number number NOUN fuelectenerg-3306 971 17 of of ADP fuelectenerg-3306 971 18 the the DET fuelectenerg-3306 971 19 bent bent ADJ fuelectenerg-3306 971 20 functions function NOUN fuelectenerg-3306 971 21 , , PUNCT fuelectenerg-3306 971 22 or or CCONJ fuelectenerg-3306 971 23 they they PRON fuelectenerg-3306 971 24 are be AUX fuelectenerg-3306 971 25 ” " PUNCT fuelectenerg-3306 971 26 empty empty ADJ fuelectenerg-3306 971 27 ” " PUNCT fuelectenerg-3306 971 28 . . PUNCT fuelectenerg-3306 972 1 this this DET fuelectenerg-3306 972 2 information information NOUN fuelectenerg-3306 972 3 can can AUX fuelectenerg-3306 972 4 be be AUX fuelectenerg-3306 972 5 helpful helpful ADJ fuelectenerg-3306 972 6 in in ADP fuelectenerg-3306 972 7 designing design VERB fuelectenerg-3306 972 8 search search NOUN fuelectenerg-3306 972 9 method method NOUN fuelectenerg-3306 972 10 for for ADP fuelectenerg-3306 972 11 generation generation NOUN fuelectenerg-3306 972 12 of of ADP fuelectenerg-3306 972 13 bent bent ADJ fuelectenerg-3306 972 14 function function NOUN fuelectenerg-3306 972 15 . . PUNCT fuelectenerg-3306 973 1 construction construction NOUN fuelectenerg-3306 973 2 of of ADP fuelectenerg-3306 973 3 subsets subset NOUN fuelectenerg-3306 973 4 of of ADP fuelectenerg-3306 973 5 bent bent ADJ fuelectenerg-3306 973 6 functions function NOUN fuelectenerg-3306 973 7 satisfying satisfy VERB fuelectenerg-3306 973 8 restrictions restriction NOUN fuelectenerg-3306 973 9 ... ... PUNCT fuelectenerg-3306 973 10 13 13 NUM fuelectenerg-3306 973 11 table table NOUN fuelectenerg-3306 973 12 4 4 NUM fuelectenerg-3306 973 13 : : PUNCT fuelectenerg-3306 973 14 the the DET fuelectenerg-3306 973 15 number number NOUN fuelectenerg-3306 973 16 of of ADP fuelectenerg-3306 973 17 bent bent ADJ fuelectenerg-3306 973 18 functions function NOUN fuelectenerg-3306 973 19 in in ADP fuelectenerg-3306 973 20 some some DET fuelectenerg-3306 973 21 subsets subset NOUN fuelectenerg-3306 973 22 h(kmin h(kmin NOUN fuelectenerg-3306 973 23 , , PUNCT fuelectenerg-3306 973 24 kmax kmax PROPN fuelectenerg-3306 973 25 ) ) PUNCT fuelectenerg-3306 973 26 for for ADP fuelectenerg-3306 973 27 n n PRON fuelectenerg-3306 973 28 = = NOUN fuelectenerg-3306 973 29 4,6 4,6 NUM fuelectenerg-3306 973 30 , , PUNCT fuelectenerg-3306 973 31 and and CCONJ fuelectenerg-3306 973 32 , , PUNCT fuelectenerg-3306 973 33 8 8 NUM fuelectenerg-3306 973 34 variables variable NOUN fuelectenerg-3306 973 35 n n PRON fuelectenerg-3306 973 36 kmin kmin NOUN fuelectenerg-3306 973 37 , , PUNCT fuelectenerg-3306 973 38 kmax kmax PROPN fuelectenerg-3306 973 39 # # SYM fuelectenerg-3306 973 40 f f PROPN fuelectenerg-3306 973 41 of of ADP fuelectenerg-3306 973 42 h(kmin h(kmin NOUN fuelectenerg-3306 973 43 , , PUNCT fuelectenerg-3306 973 44 kmax kmax PROPN fuelectenerg-3306 973 45 ) ) PUNCT fuelectenerg-3306 973 46 4 4 NUM fuelectenerg-3306 973 47 2,2 2,2 NUM fuelectenerg-3306 973 48 24 24 NUM fuelectenerg-3306 973 49 6 6 NUM fuelectenerg-3306 973 50 2,2 2,2 NUM fuelectenerg-3306 973 51 13440 13440 NUM fuelectenerg-3306 973 52 6 6 NUM fuelectenerg-3306 973 53 3,3 3,3 NUM fuelectenerg-3306 973 54 12 12 NUM fuelectenerg-3306 973 55 8 8 NUM fuelectenerg-3306 973 56 2,2 2,2 NUM fuelectenerg-3306 973 57 111992832 111992832 NUM fuelectenerg-3306 973 58 table table NOUN fuelectenerg-3306 973 59 5 5 NUM fuelectenerg-3306 973 60 : : PUNCT fuelectenerg-3306 973 61 the the DET fuelectenerg-3306 973 62 number number NOUN fuelectenerg-3306 973 63 of of ADP fuelectenerg-3306 973 64 bent bent ADJ fuelectenerg-3306 973 65 functions function NOUN fuelectenerg-3306 973 66 in in ADP fuelectenerg-3306 973 67 some some DET fuelectenerg-3306 973 68 subsets subset NOUN fuelectenerg-3306 973 69 g(k g(k PROPN fuelectenerg-3306 973 70 , , PUNCT fuelectenerg-3306 973 71 kmin kmin NOUN fuelectenerg-3306 973 72 , , PUNCT fuelectenerg-3306 973 73 kmax kmax PROPN fuelectenerg-3306 973 74 ) ) PUNCT fuelectenerg-3306 973 75 for for ADP fuelectenerg-3306 973 76 n n NOUN fuelectenerg-3306 973 77 = = SYM fuelectenerg-3306 973 78 4 4 NUM fuelectenerg-3306 973 79 variables variable NOUN fuelectenerg-3306 973 80 k k PROPN fuelectenerg-3306 973 81 , , PUNCT fuelectenerg-3306 973 82 kmin kmin PROPN fuelectenerg-3306 973 83 , , PUNCT fuelectenerg-3306 973 84 kmax kmax PROPN fuelectenerg-3306 973 85 # # SYM fuelectenerg-3306 973 86 f f NOUN fuelectenerg-3306 973 87 of of ADP fuelectenerg-3306 973 88 g(k g(k PROPN fuelectenerg-3306 973 89 , , PUNCT fuelectenerg-3306 973 90 kmin kmin NOUN fuelectenerg-3306 973 91 , , PUNCT fuelectenerg-3306 973 92 kmax kmax PROPN fuelectenerg-3306 973 93 ) ) PUNCT fuelectenerg-3306 973 94 2,2,2 2,2,2 NUM fuelectenerg-3306 973 95 2 2 NUM fuelectenerg-3306 973 96 3,2,2 3,2,2 NUM fuelectenerg-3306 973 97 8 8 NUM fuelectenerg-3306 973 98 4,2,2 4,2,2 NUM fuelectenerg-3306 973 99 10 10 NUM fuelectenerg-3306 973 100 5,2,2 5,2,2 NUM fuelectenerg-3306 973 101 4 4 NUM fuelectenerg-3306 973 102 table table NOUN fuelectenerg-3306 973 103 6 6 NUM fuelectenerg-3306 973 104 : : PUNCT fuelectenerg-3306 973 105 the the DET fuelectenerg-3306 973 106 number number NOUN fuelectenerg-3306 973 107 of of ADP fuelectenerg-3306 973 108 bent bent ADJ fuelectenerg-3306 973 109 functions function NOUN fuelectenerg-3306 973 110 in in ADP fuelectenerg-3306 973 111 some some DET fuelectenerg-3306 973 112 subsets subset NOUN fuelectenerg-3306 973 113 g(k g(k PROPN fuelectenerg-3306 973 114 , , PUNCT fuelectenerg-3306 973 115 kmin kmin NOUN fuelectenerg-3306 973 116 , , PUNCT fuelectenerg-3306 973 117 kmax kmax PROPN fuelectenerg-3306 973 118 ) ) PUNCT fuelectenerg-3306 973 119 for for ADP fuelectenerg-3306 973 120 n n NOUN fuelectenerg-3306 973 121 = = SYM fuelectenerg-3306 973 122 6 6 NUM fuelectenerg-3306 973 123 variables variable NOUN fuelectenerg-3306 973 124 k k PROPN fuelectenerg-3306 973 125 , , PUNCT fuelectenerg-3306 973 126 kmin kmin PROPN fuelectenerg-3306 973 127 , , PUNCT fuelectenerg-3306 973 128 kmax kmax PROPN fuelectenerg-3306 973 129 # # SYM fuelectenerg-3306 973 130 f f NOUN fuelectenerg-3306 973 131 of of ADP fuelectenerg-3306 973 132 g(k g(k PROPN fuelectenerg-3306 973 133 , , PUNCT fuelectenerg-3306 973 134 kmin kmin NOUN fuelectenerg-3306 973 135 , , PUNCT fuelectenerg-3306 973 136 kmax kmax PROPN fuelectenerg-3306 973 137 ) ) PUNCT fuelectenerg-3306 973 138 3,2,2 3,2,2 NUM fuelectenerg-3306 973 139 12 12 NUM fuelectenerg-3306 973 140 4,2,2 4,2,2 NUM fuelectenerg-3306 973 141 144 144 NUM fuelectenerg-3306 973 142 5,2,2 5,2,2 NUM fuelectenerg-3306 973 143 732 732 NUM fuelectenerg-3306 973 144 6,2,2 6,2,2 NUM fuelectenerg-3306 973 145 1968 1968 NUM fuelectenerg-3306 973 146 7,2,2 7,2,2 NUM fuelectenerg-3306 973 147 3008 3008 NUM fuelectenerg-3306 973 148 8,2,2 8,2,2 NUM fuelectenerg-3306 973 149 3040 3040 NUM fuelectenerg-3306 973 150 9,2,2 9,2,2 NUM fuelectenerg-3306 973 151 2360 2360 NUM fuelectenerg-3306 973 152 10,2,2 10,2,2 NUM fuelectenerg-3306 973 153 1384 1384 NUM fuelectenerg-3306 973 154 11,2,2 11,2,2 NUM fuelectenerg-3306 973 155 564 564 NUM fuelectenerg-3306 973 156 12,2,2 12,2,2 NUM fuelectenerg-3306 973 157 176 176 NUM fuelectenerg-3306 973 158 13,2,2 13,2,2 NUM fuelectenerg-3306 973 159 44 44 NUM fuelectenerg-3306 973 160 14,2,2 14,2,2 NUM fuelectenerg-3306 973 161 8 8 NUM fuelectenerg-3306 973 162 16,3,3 16,3,3 NUM fuelectenerg-3306 973 163 6 6 NUM fuelectenerg-3306 973 164 17,3,3 17,3,3 NUM fuelectenerg-3306 973 165 6 6 NUM fuelectenerg-3306 973 166 generation generation NOUN fuelectenerg-3306 973 167 of of ADP fuelectenerg-3306 973 168 bent bent ADJ fuelectenerg-3306 973 169 function function NOUN fuelectenerg-3306 973 170 is be AUX fuelectenerg-3306 973 171 exponential exponential ADJ fuelectenerg-3306 973 172 in in ADP fuelectenerg-3306 973 173 terms term NOUN fuelectenerg-3306 973 174 of of ADP fuelectenerg-3306 973 175 the the DET fuelectenerg-3306 973 176 number number NOUN fuelectenerg-3306 973 177 of of ADP fuelectenerg-3306 973 178 variables variable NOUN fuelectenerg-3306 973 179 . . PUNCT fuelectenerg-3306 974 1 in in ADP fuelectenerg-3306 974 2 this this DET fuelectenerg-3306 974 3 paper paper NOUN fuelectenerg-3306 974 4 , , PUNCT fuelectenerg-3306 974 5 we we PRON fuelectenerg-3306 974 6 propose propose VERB fuelectenerg-3306 974 7 an an DET fuelectenerg-3306 974 8 approach approach NOUN fuelectenerg-3306 974 9 to to ADP fuelectenerg-3306 974 10 the the DET fuelectenerg-3306 974 11 restriction restriction NOUN fuelectenerg-3306 974 12 of of ADP fuelectenerg-3306 974 13 the the DET fuelectenerg-3306 974 14 search search NOUN fuelectenerg-3306 974 15 space space NOUN fuelectenerg-3306 974 16 based base VERB fuelectenerg-3306 974 17 on on ADP fuelectenerg-3306 974 18 the the DET fuelectenerg-3306 974 19 restriction restriction NOUN fuelectenerg-3306 974 20 of of ADP fuelectenerg-3306 974 21 the the DET fuelectenerg-3306 974 22 number number NOUN fuelectenerg-3306 974 23 and and CCONJ fuelectenerg-3306 974 24 order order NOUN fuelectenerg-3306 974 25 of of ADP fuelectenerg-3306 974 26 rm rm NOUN fuelectenerg-3306 974 27 - - PUNCT fuelectenerg-3306 974 28 coefficients coefficient NOUN fuelectenerg-3306 974 29 for for ADP fuelectenerg-3306 974 30 bent bent ADJ fuelectenerg-3306 974 31 functions function NOUN fuelectenerg-3306 974 32 . . PUNCT fuelectenerg-3306 975 1 using use VERB fuelectenerg-3306 975 2 properties property NOUN fuelectenerg-3306 975 3 of of ADP fuelectenerg-3306 975 4 bent bent ADJ fuelectenerg-3306 975 5 function function NOUN fuelectenerg-3306 975 6 in in ADP fuelectenerg-3306 975 7 rm rm NOUN fuelectenerg-3306 975 8 domain domain NOUN fuelectenerg-3306 975 9 , , PUNCT fuelectenerg-3306 975 10 we we PRON fuelectenerg-3306 975 11 define define VERB fuelectenerg-3306 975 12 rm rm PROPN fuelectenerg-3306 975 13 vertical vertical NOUN fuelectenerg-3306 975 14 , , PUNCT fuelectenerg-3306 975 15 220 220 NUM fuelectenerg-3306 975 16 m. m. NOUN fuelectenerg-3306 975 17 radmanović radmanović NOUN fuelectenerg-3306 975 18 , , PUNCT fuelectenerg-3306 975 19 r. r. PROPN fuelectenerg-3306 975 20 s. s. PROPN fuelectenerg-3306 975 21 stanković stanković PROPN fuelectenerg-3306 975 22 construction construction NOUN fuelectenerg-3306 975 23 of of ADP fuelectenerg-3306 975 24 subsets subset NOUN fuelectenerg-3306 975 25 of of ADP fuelectenerg-3306 975 26 bent bent ADJ fuelectenerg-3306 975 27 functions function NOUN fuelectenerg-3306 975 28 satisfying satisfy VERB fuelectenerg-3306 975 29 restrictions restriction NOUN fuelectenerg-3306 975 30 ... ... PUNCT fuelectenerg-3306 975 31 221 221 NUM fuelectenerg-3306 975 32 14 14 NUM fuelectenerg-3306 975 33 m. m. NOUN fuelectenerg-3306 975 34 radmanović radmanović PROPN fuelectenerg-3306 975 35 and and CCONJ fuelectenerg-3306 975 36 r. r. PROPN fuelectenerg-3306 975 37 stanković stanković PROPN fuelectenerg-3306 975 38 table table PROPN fuelectenerg-3306 975 39 7 7 NUM fuelectenerg-3306 975 40 : : PUNCT fuelectenerg-3306 975 41 the the DET fuelectenerg-3306 975 42 number number NOUN fuelectenerg-3306 975 43 of of ADP fuelectenerg-3306 975 44 bent bent ADJ fuelectenerg-3306 975 45 functions function NOUN fuelectenerg-3306 975 46 in in ADP fuelectenerg-3306 975 47 some some DET fuelectenerg-3306 975 48 subsets subset NOUN fuelectenerg-3306 975 49 g(k g(k PROPN fuelectenerg-3306 975 50 , , PUNCT fuelectenerg-3306 975 51 kmin kmin NOUN fuelectenerg-3306 975 52 , , PUNCT fuelectenerg-3306 975 53 kmax kmax PROPN fuelectenerg-3306 975 54 ) ) PUNCT fuelectenerg-3306 975 55 for for ADP fuelectenerg-3306 975 56 n n NOUN fuelectenerg-3306 975 57 = = SYM fuelectenerg-3306 975 58 8 8 NUM fuelectenerg-3306 975 59 variables variable NOUN fuelectenerg-3306 975 60 k k PROPN fuelectenerg-3306 975 61 , , PUNCT fuelectenerg-3306 975 62 kmin kmin PROPN fuelectenerg-3306 975 63 , , PUNCT fuelectenerg-3306 975 64 kmax kmax PROPN fuelectenerg-3306 975 65 # # SYM fuelectenerg-3306 975 66 f f NOUN fuelectenerg-3306 975 67 of of ADP fuelectenerg-3306 975 68 g(k g(k PROPN fuelectenerg-3306 975 69 , , PUNCT fuelectenerg-3306 975 70 kmin kmin NOUN fuelectenerg-3306 975 71 , , PUNCT fuelectenerg-3306 975 72 kmax kmax PROPN fuelectenerg-3306 975 73 ) ) PUNCT fuelectenerg-3306 976 1 2,2,2 2,2,2 NUM fuelectenerg-3306 976 2 2 2 NUM fuelectenerg-3306 976 3 3,2,2 3,2,2 NUM fuelectenerg-3306 976 4 8 8 NUM fuelectenerg-3306 976 5 4,2,2 4,2,2 NUM fuelectenerg-3306 976 6 90 90 NUM fuelectenerg-3306 976 7 5,2,2 5,2,2 NUM fuelectenerg-3306 976 8 2160 2160 NUM fuelectenerg-3306 976 9 6,2,2 6,2,2 NUM fuelectenerg-3306 976 10 23850 23850 NUM fuelectenerg-3306 976 11 7,2,2 7,2,2 NUM fuelectenerg-3306 976 12 157860 157860 NUM fuelectenerg-3306 976 13 8,2,2 8,2,2 NUM fuelectenerg-3306 976 14 687030 687030 NUM fuelectenerg-3306 976 15 9,2,2 9,2,2 NUM fuelectenerg-3306 976 16 2081400 2081400 NUM fuelectenerg-3306 976 17 10,2,2 10,2,2 NUM fuelectenerg-3306 976 18 4753710 4753710 NUM fuelectenerg-3306 976 19 11,2,2 11,2,2 NUM fuelectenerg-3306 976 20 8640684 8640684 NUM fuelectenerg-3306 976 21 12,2,2 12,2,2 NUM fuelectenerg-3306 976 22 12897908 12897908 NUM fuelectenerg-3306 976 23 13,2,2 13,2,2 NUM fuelectenerg-3306 976 24 16181264 16181264 NUM fuelectenerg-3306 976 25 14,2,2 14,2,2 NUM fuelectenerg-3306 976 26 17405460 17405460 NUM fuelectenerg-3306 976 27 15,2,2 15,2,2 NUM fuelectenerg-3306 976 28 16291480 16291480 NUM fuelectenerg-3306 976 29 16,2,2 16,2,2 NUM fuelectenerg-3306 976 30 13230940 13230940 NUM fuelectenerg-3306 976 31 17,2,2 17,2,2 NUM fuelectenerg-3306 976 32 9215136 9215136 NUM fuelectenerg-3306 976 33 18,2,2 18,2,2 NUM fuelectenerg-3306 976 34 5554956 5554956 NUM fuelectenerg-3306 976 35 19,2,2 19,2,2 NUM fuelectenerg-3306 976 36 2907720 2907720 NUM fuelectenerg-3306 976 37 20,2,2 20,2,2 NUM fuelectenerg-3306 976 38 1277010 1277010 NUM fuelectenerg-3306 976 39 21,2,2 21,2,2 NUM fuelectenerg-3306 976 40 476288 476288 NUM fuelectenerg-3306 976 41 22,2,2 22,2,2 NUM fuelectenerg-3306 976 42 157730 157730 NUM fuelectenerg-3306 976 43 23,2,2 23,2,2 NUM fuelectenerg-3306 976 44 41412 41412 NUM fuelectenerg-3306 976 45 24,2,2 24,2,2 NUM fuelectenerg-3306 976 46 7630 7630 NUM fuelectenerg-3306 976 47 25,2,2 25,2,2 NUM fuelectenerg-3306 976 48 1000 1000 NUM fuelectenerg-3306 976 49 26,2,2 26,2,2 NUM fuelectenerg-3306 976 50 102 102 NUM fuelectenerg-3306 976 51 27,2,2 27,2,2 NUM fuelectenerg-3306 976 52 12 12 NUM fuelectenerg-3306 976 53 horizontal horizontal ADJ fuelectenerg-3306 976 54 , , PUNCT fuelectenerg-3306 976 55 and and CCONJ fuelectenerg-3306 976 56 grid grid NOUN fuelectenerg-3306 976 57 subsets subset NOUN fuelectenerg-3306 976 58 of of ADP fuelectenerg-3306 976 59 boolean boolean ADJ fuelectenerg-3306 976 60 functions function NOUN fuelectenerg-3306 976 61 that that PRON fuelectenerg-3306 976 62 might might AUX fuelectenerg-3306 976 63 contain contain VERB fuelectenerg-3306 976 64 bent bent ADJ fuelectenerg-3306 976 65 functions function NOUN fuelectenerg-3306 976 66 . . PUNCT fuelectenerg-3306 977 1 the the DET fuelectenerg-3306 977 2 proposed propose VERB fuelectenerg-3306 977 3 approach approach NOUN fuelectenerg-3306 977 4 is be AUX fuelectenerg-3306 977 5 experimentally experimentally ADV fuelectenerg-3306 977 6 verified verify VERB fuelectenerg-3306 977 7 through through ADP fuelectenerg-3306 977 8 enumeration enumeration NOUN fuelectenerg-3306 977 9 of of ADP fuelectenerg-3306 977 10 bent bent ADJ fuelectenerg-3306 977 11 functions function NOUN fuelectenerg-3306 977 12 in in ADP fuelectenerg-3306 977 13 some some DET fuelectenerg-3306 977 14 rm rm NOUN fuelectenerg-3306 977 15 vertical vertical NOUN fuelectenerg-3306 977 16 , , PUNCT fuelectenerg-3306 977 17 horizontal horizontal ADJ fuelectenerg-3306 977 18 , , PUNCT fuelectenerg-3306 977 19 and and CCONJ fuelectenerg-3306 977 20 grid grid NOUN fuelectenerg-3306 977 21 subsets subset NOUN fuelectenerg-3306 977 22 for for ADP fuelectenerg-3306 977 23 functions function NOUN fuelectenerg-3306 977 24 with with ADP fuelectenerg-3306 977 25 4 4 NUM fuelectenerg-3306 977 26 , , PUNCT fuelectenerg-3306 977 27 6 6 NUM fuelectenerg-3306 977 28 , , PUNCT fuelectenerg-3306 977 29 and and CCONJ fuelectenerg-3306 977 30 8 8 NUM fuelectenerg-3306 977 31 variables variable NOUN fuelectenerg-3306 977 32 . . PUNCT fuelectenerg-3306 978 1 experimental experimental ADJ fuelectenerg-3306 978 2 results result NOUN fuelectenerg-3306 978 3 showed show VERB fuelectenerg-3306 978 4 some some DET fuelectenerg-3306 978 5 interesting interesting ADJ fuelectenerg-3306 978 6 properties property NOUN fuelectenerg-3306 978 7 of of ADP fuelectenerg-3306 978 8 different different ADJ fuelectenerg-3306 978 9 subsets subset NOUN fuelectenerg-3306 978 10 in in ADP fuelectenerg-3306 978 11 the the DET fuelectenerg-3306 978 12 spectral spectral ADJ fuelectenerg-3306 978 13 reed reed PROPN fuelectenerg-3306 978 14 - - PUNCT fuelectenerg-3306 978 15 muller muller NOUN fuelectenerg-3306 978 16 domain domain NOUN fuelectenerg-3306 978 17 . . PUNCT fuelectenerg-3306 979 1 it it PRON fuelectenerg-3306 979 2 is be AUX fuelectenerg-3306 979 3 shown show VERB fuelectenerg-3306 979 4 that that SCONJ fuelectenerg-3306 979 5 some some DET fuelectenerg-3306 979 6 vertical vertical ADJ fuelectenerg-3306 979 7 , , PUNCT fuelectenerg-3306 979 8 horizontal horizontal ADJ fuelectenerg-3306 979 9 and and CCONJ fuelectenerg-3306 979 10 grid grid NOUN fuelectenerg-3306 979 11 subsets subset NOUN fuelectenerg-3306 979 12 contain contain VERB fuelectenerg-3306 979 13 large large ADJ fuelectenerg-3306 979 14 and and CCONJ fuelectenerg-3306 979 15 small small ADJ fuelectenerg-3306 979 16 number number NOUN fuelectenerg-3306 979 17 of of ADP fuelectenerg-3306 979 18 the the DET fuelectenerg-3306 979 19 bent bent ADJ fuelectenerg-3306 979 20 functions function NOUN fuelectenerg-3306 979 21 , , PUNCT fuelectenerg-3306 979 22 or or CCONJ fuelectenerg-3306 979 23 they they PRON fuelectenerg-3306 979 24 are be AUX fuelectenerg-3306 979 25 ” " PUNCT fuelectenerg-3306 979 26 empty empty ADJ fuelectenerg-3306 979 27 ” " PUNCT fuelectenerg-3306 979 28 . . PUNCT fuelectenerg-3306 980 1 this this DET fuelectenerg-3306 980 2 information information NOUN fuelectenerg-3306 980 3 can can AUX fuelectenerg-3306 980 4 be be AUX fuelectenerg-3306 980 5 helpful helpful ADJ fuelectenerg-3306 980 6 in in ADP fuelectenerg-3306 980 7 designing design VERB fuelectenerg-3306 980 8 search search NOUN fuelectenerg-3306 980 9 method method NOUN fuelectenerg-3306 980 10 for for ADP fuelectenerg-3306 980 11 generation generation NOUN fuelectenerg-3306 980 12 of of ADP fuelectenerg-3306 980 13 bent bent ADJ fuelectenerg-3306 980 14 function function NOUN fuelectenerg-3306 980 15 . . PUNCT fuelectenerg-3306 981 1 construction construction NOUN fuelectenerg-3306 981 2 of of ADP fuelectenerg-3306 981 3 subsets subset NOUN fuelectenerg-3306 981 4 of of ADP fuelectenerg-3306 981 5 bent bent ADJ fuelectenerg-3306 981 6 functions function NOUN fuelectenerg-3306 981 7 satisfying satisfy VERB fuelectenerg-3306 981 8 restrictions restriction NOUN fuelectenerg-3306 981 9 ... ... PUNCT fuelectenerg-3306 981 10 15 15 NUM fuelectenerg-3306 981 11 it it PRON fuelectenerg-3306 981 12 can can AUX fuelectenerg-3306 981 13 be be AUX fuelectenerg-3306 981 14 concluded conclude VERB fuelectenerg-3306 981 15 from from ADP fuelectenerg-3306 981 16 these these DET fuelectenerg-3306 981 17 experimental experimental ADJ fuelectenerg-3306 981 18 results result NOUN fuelectenerg-3306 981 19 that that SCONJ fuelectenerg-3306 981 20 besides besides SCONJ fuelectenerg-3306 981 21 the the DET fuelectenerg-3306 981 22 walsh walsh NOUN fuelectenerg-3306 981 23 and and CCONJ fuelectenerg-3306 981 24 the the DET fuelectenerg-3306 981 25 reed reed NOUN fuelectenerg-3306 981 26 - - PUNCT fuelectenerg-3306 981 27 muller muller NOUN fuelectenerg-3306 981 28 domain domain NOUN fuelectenerg-3306 981 29 , , PUNCT fuelectenerg-3306 981 30 exploring explore VERB fuelectenerg-3306 981 31 bent bent ADJ fuelectenerg-3306 981 32 functions function NOUN fuelectenerg-3306 981 33 in in ADP fuelectenerg-3306 981 34 some some DET fuelectenerg-3306 981 35 other other ADJ fuelectenerg-3306 981 36 representation representation NOUN fuelectenerg-3306 981 37 domains domain NOUN fuelectenerg-3306 981 38 can can AUX fuelectenerg-3306 981 39 be be AUX fuelectenerg-3306 981 40 interesting interesting ADJ fuelectenerg-3306 981 41 . . PUNCT fuelectenerg-3306 982 1 references reference NOUN fuelectenerg-3306 982 2 [ [ X fuelectenerg-3306 982 3 1 1 X fuelectenerg-3306 982 4 ] ] PUNCT fuelectenerg-3306 982 5 s. s. PROPN fuelectenerg-3306 982 6 mesnager mesnager PROPN fuelectenerg-3306 982 7 , , PUNCT fuelectenerg-3306 982 8 bent bent ADJ fuelectenerg-3306 982 9 functions function NOUN fuelectenerg-3306 982 10 : : PUNCT fuelectenerg-3306 982 11 fundamentals fundamental NOUN fuelectenerg-3306 982 12 and and CCONJ fuelectenerg-3306 982 13 results result NOUN fuelectenerg-3306 982 14 . . PUNCT fuelectenerg-3306 983 1 springer springer NOUN fuelectenerg-3306 983 2 international international ADJ fuelectenerg-3306 983 3 publishing publishing NOUN fuelectenerg-3306 983 4 , , PUNCT fuelectenerg-3306 983 5 2016 2016 NUM fuelectenerg-3306 983 6 . . PUNCT fuelectenerg-3306 984 1 [ [ X fuelectenerg-3306 984 2 2 2 NUM fuelectenerg-3306 984 3 ] ] X fuelectenerg-3306 984 4 n. n. PROPN fuelectenerg-3306 984 5 tokareva tokareva PROPN fuelectenerg-3306 984 6 , , PUNCT fuelectenerg-3306 984 7 bent bent ADJ fuelectenerg-3306 984 8 functions function NOUN fuelectenerg-3306 984 9 , , PUNCT fuelectenerg-3306 984 10 results result NOUN fuelectenerg-3306 984 11 and and CCONJ fuelectenerg-3306 984 12 applications application NOUN fuelectenerg-3306 984 13 to to ADP fuelectenerg-3306 984 14 cryptography cryptography NOUN fuelectenerg-3306 984 15 . . PUNCT fuelectenerg-3306 985 1 academic academic ADJ fuelectenerg-3306 985 2 press press NOUN fuelectenerg-3306 985 3 , , PUNCT fuelectenerg-3306 985 4 2015 2015 NUM fuelectenerg-3306 985 5 . . PUNCT fuelectenerg-3306 986 1 [ [ X fuelectenerg-3306 986 2 3 3 X fuelectenerg-3306 986 3 ] ] PUNCT fuelectenerg-3306 986 4 t. t. PROPN fuelectenerg-3306 986 5 cusick cusick PROPN fuelectenerg-3306 986 6 and and CCONJ fuelectenerg-3306 986 7 p. p. PROPN fuelectenerg-3306 986 8 stanica stanica PROPN fuelectenerg-3306 986 9 , , PUNCT fuelectenerg-3306 986 10 cryptographic cryptographic ADJ fuelectenerg-3306 986 11 boolean boolean ADJ fuelectenerg-3306 986 12 functions function NOUN fuelectenerg-3306 986 13 and and CCONJ fuelectenerg-3306 986 14 applications application NOUN fuelectenerg-3306 986 15 ( ( PUNCT fuelectenerg-3306 986 16 second second ADJ fuelectenerg-3306 986 17 edition edition NOUN fuelectenerg-3306 986 18 ) ) PUNCT fuelectenerg-3306 986 19 . . PUNCT fuelectenerg-3306 987 1 academic academic ADJ fuelectenerg-3306 987 2 press press NOUN fuelectenerg-3306 987 3 , , PUNCT fuelectenerg-3306 987 4 2017 2017 NUM fuelectenerg-3306 987 5 . . PUNCT fuelectenerg-3306 988 1 [ [ X fuelectenerg-3306 988 2 4 4 X fuelectenerg-3306 988 3 ] ] PUNCT fuelectenerg-3306 988 4 t. t. PROPN fuelectenerg-3306 988 5 sasao sasao PROPN fuelectenerg-3306 988 6 and and CCONJ fuelectenerg-3306 988 7 j. j. PROPN fuelectenerg-3306 988 8 t. t. PROPN fuelectenerg-3306 988 9 butler butler PROPN fuelectenerg-3306 988 10 , , PUNCT fuelectenerg-3306 988 11 boolean boolean ADJ fuelectenerg-3306 988 12 functions function NOUN fuelectenerg-3306 988 13 for for ADP fuelectenerg-3306 988 14 cryptography cryptography NOUN fuelectenerg-3306 988 15 . . PUNCT fuelectenerg-3306 989 1 morgan morgan PROPN fuelectenerg-3306 989 2 and and CCONJ fuelectenerg-3306 989 3 claypool claypool PROPN fuelectenerg-3306 989 4 publishers publisher NOUN fuelectenerg-3306 989 5 , , PUNCT fuelectenerg-3306 989 6 2010 2010 NUM fuelectenerg-3306 989 7 . . PUNCT fuelectenerg-3306 990 1 [ [ X fuelectenerg-3306 990 2 5 5 NUM fuelectenerg-3306 990 3 ] ] PUNCT fuelectenerg-3306 990 4 m. m. NOUN fuelectenerg-3306 990 5 thornton thornton PROPN fuelectenerg-3306 990 6 , , PUNCT fuelectenerg-3306 990 7 r. r. PROPN fuelectenerg-3306 990 8 drechsler drechsler PROPN fuelectenerg-3306 990 9 , , PUNCT fuelectenerg-3306 990 10 and and CCONJ fuelectenerg-3306 990 11 d. d. PROPN fuelectenerg-3306 990 12 miller miller PROPN fuelectenerg-3306 990 13 , , PUNCT fuelectenerg-3306 990 14 spectral spectral ADJ fuelectenerg-3306 990 15 techniques technique NOUN fuelectenerg-3306 990 16 in in ADP fuelectenerg-3306 990 17 vlsi vlsi PROPN fuelectenerg-3306 990 18 cad cad PROPN fuelectenerg-3306 990 19 . . PUNCT fuelectenerg-3306 990 20 springer springer PROPN fuelectenerg-3306 990 21 us we PRON fuelectenerg-3306 990 22 , , PUNCT fuelectenerg-3306 990 23 2012 2012 NUM fuelectenerg-3306 990 24 . . PUNCT fuelectenerg-3306 991 1 [ [ X fuelectenerg-3306 991 2 6 6 NUM fuelectenerg-3306 991 3 ] ] PUNCT fuelectenerg-3306 991 4 m. m. NOUN fuelectenerg-3306 991 5 g. g. PROPN fuelectenerg-3306 991 6 karpovsky karpovsky PROPN fuelectenerg-3306 991 7 , , PUNCT fuelectenerg-3306 991 8 r. r. PROPN fuelectenerg-3306 991 9 s. s. PROPN fuelectenerg-3306 991 10 stanković stanković PROPN fuelectenerg-3306 991 11 , , PUNCT fuelectenerg-3306 991 12 and and CCONJ fuelectenerg-3306 991 13 j. j. PROPN fuelectenerg-3306 991 14 t. t. PROPN fuelectenerg-3306 991 15 astola astola PROPN fuelectenerg-3306 991 16 , , PUNCT fuelectenerg-3306 991 17 spectral spectral ADJ fuelectenerg-3306 991 18 logic logic NOUN fuelectenerg-3306 991 19 and and CCONJ fuelectenerg-3306 991 20 its its PRON fuelectenerg-3306 991 21 applications application NOUN fuelectenerg-3306 991 22 for for ADP fuelectenerg-3306 991 23 the the DET fuelectenerg-3306 991 24 design design NOUN fuelectenerg-3306 991 25 of of ADP fuelectenerg-3306 991 26 digital digital ADJ fuelectenerg-3306 991 27 devices device NOUN fuelectenerg-3306 991 28 . . PUNCT fuelectenerg-3306 992 1 wiley wiley PROPN fuelectenerg-3306 992 2 , , PUNCT fuelectenerg-3306 992 3 2008 2008 NUM fuelectenerg-3306 992 4 . . PUNCT fuelectenerg-3306 993 1 [ [ X fuelectenerg-3306 993 2 7 7 X fuelectenerg-3306 993 3 ] ] X fuelectenerg-3306 993 4 c. c. NOUN fuelectenerg-3306 993 5 carlet carlet PROPN fuelectenerg-3306 993 6 and and CCONJ fuelectenerg-3306 993 7 p. p. PROPN fuelectenerg-3306 993 8 guillot guillot NOUN fuelectenerg-3306 993 9 , , PUNCT fuelectenerg-3306 993 10 bent bent ADJ fuelectenerg-3306 993 11 , , PUNCT fuelectenerg-3306 993 12 resilient resilient ADJ fuelectenerg-3306 993 13 functions function NOUN fuelectenerg-3306 993 14 and and CCONJ fuelectenerg-3306 993 15 the the DET fuelectenerg-3306 993 16 numerical numerical ADJ fuelectenerg-3306 993 17 normal normal ADJ fuelectenerg-3306 993 18 form form NOUN fuelectenerg-3306 993 19 . . PUNCT fuelectenerg-3306 994 1 american american PROPN fuelectenerg-3306 994 2 mathematical mathematical PROPN fuelectenerg-3306 994 3 society society NOUN fuelectenerg-3306 994 4 , , PUNCT fuelectenerg-3306 994 5 2001 2001 NUM fuelectenerg-3306 994 6 , , PUNCT fuelectenerg-3306 994 7 vol vol NOUN fuelectenerg-3306 994 8 . . PROPN fuelectenerg-3306 995 1 56 56 NUM fuelectenerg-3306 995 2 . . PUNCT fuelectenerg-3306 996 1 [ [ X fuelectenerg-3306 996 2 8 8 NUM fuelectenerg-3306 996 3 ] ] X fuelectenerg-3306 996 4 r. r. PROPN fuelectenerg-3306 996 5 mcfarland mcfarland PROPN fuelectenerg-3306 996 6 , , PUNCT fuelectenerg-3306 996 7 “ " PUNCT fuelectenerg-3306 996 8 a a DET fuelectenerg-3306 996 9 family family NOUN fuelectenerg-3306 996 10 of of ADP fuelectenerg-3306 996 11 noncyclic noncyclic ADJ fuelectenerg-3306 996 12 difference difference NOUN fuelectenerg-3306 996 13 sets set NOUN fuelectenerg-3306 996 14 , , PUNCT fuelectenerg-3306 996 15 ” " PUNCT fuelectenerg-3306 996 16 journal journal NOUN fuelectenerg-3306 996 17 of of ADP fuelectenerg-3306 996 18 combinatorial combinatorial ADJ fuelectenerg-3306 996 19 theory theory NOUN fuelectenerg-3306 996 20 , , PUNCT fuelectenerg-3306 996 21 vol vol NOUN fuelectenerg-3306 996 22 . . PUNCT fuelectenerg-3306 996 23 15a 15a NOUN fuelectenerg-3306 996 24 , , PUNCT fuelectenerg-3306 996 25 pp pp ADP fuelectenerg-3306 996 26 . . PUNCT fuelectenerg-3306 997 1 541–542 541–542 NUM fuelectenerg-3306 997 2 , , PUNCT fuelectenerg-3306 997 3 1965 1965 NUM fuelectenerg-3306 997 4 . . PUNCT fuelectenerg-3306 998 1 [ [ X fuelectenerg-3306 998 2 9 9 X fuelectenerg-3306 998 3 ] ] PUNCT fuelectenerg-3306 998 4 j. j. PROPN fuelectenerg-3306 998 5 f. f. PROPN fuelectenerg-3306 998 6 dillon dillon PROPN fuelectenerg-3306 998 7 , , PUNCT fuelectenerg-3306 998 8 “ " PUNCT fuelectenerg-3306 998 9 elementary elementary ADJ fuelectenerg-3306 998 10 hadamard hadamard ADJ fuelectenerg-3306 998 11 difference difference NOUN fuelectenerg-3306 998 12 sets set NOUN fuelectenerg-3306 998 13 , , PUNCT fuelectenerg-3306 998 14 ” " PUNCT fuelectenerg-3306 998 15 ph.d ph.d PROPN fuelectenerg-3306 998 16 . . PUNCT fuelectenerg-3306 998 17 dissertation dissertation NOUN fuelectenerg-3306 998 18 , , PUNCT fuelectenerg-3306 998 19 university university NOUN fuelectenerg-3306 998 20 of of ADP fuelectenerg-3306 998 21 maryland maryland PROPN fuelectenerg-3306 998 22 , , PUNCT fuelectenerg-3306 998 23 1974 1974 NUM fuelectenerg-3306 998 24 . . PUNCT fuelectenerg-3306 999 1 [ [ X fuelectenerg-3306 999 2 10 10 NUM fuelectenerg-3306 999 3 ] ] X fuelectenerg-3306 999 4 h. h. PROPN fuelectenerg-3306 999 5 dobbertin dobbertin PROPN fuelectenerg-3306 999 6 , , PUNCT fuelectenerg-3306 999 7 construction construction NOUN fuelectenerg-3306 999 8 of of ADP fuelectenerg-3306 999 9 bent bent ADJ fuelectenerg-3306 999 10 functions function NOUN fuelectenerg-3306 999 11 and and CCONJ fuelectenerg-3306 999 12 balanced balanced ADJ fuelectenerg-3306 999 13 boolean boolean ADJ fuelectenerg-3306 999 14 functions function NOUN fuelectenerg-3306 999 15 with with ADP fuelectenerg-3306 999 16 high high ADJ fuelectenerg-3306 999 17 nonlinearity nonlinearity NOUN fuelectenerg-3306 999 18 , , PUNCT fuelectenerg-3306 999 19 ser ser NOUN fuelectenerg-3306 999 20 . . PUNCT fuelectenerg-3306 1000 1 lecture lecture NOUN fuelectenerg-3306 1000 2 notes note NOUN fuelectenerg-3306 1000 3 in in ADP fuelectenerg-3306 1000 4 computer computer NOUN fuelectenerg-3306 1000 5 science science NOUN fuelectenerg-3306 1000 6 , , PUNCT fuelectenerg-3306 1000 7 b. b. PROPN fuelectenerg-3306 1000 8 preneel preneel PROPN fuelectenerg-3306 1000 9 , , PUNCT fuelectenerg-3306 1000 10 ed ed NOUN fuelectenerg-3306 1000 11 . . PUNCT fuelectenerg-3306 1000 12 springer springer PROPN fuelectenerg-3306 1000 13 , , PUNCT fuelectenerg-3306 1000 14 berlin berlin PROPN fuelectenerg-3306 1000 15 , , PUNCT fuelectenerg-3306 1000 16 germany germany PROPN fuelectenerg-3306 1000 17 , , PUNCT fuelectenerg-3306 1000 18 1995 1995 NUM fuelectenerg-3306 1000 19 , , PUNCT fuelectenerg-3306 1000 20 vol vol NOUN fuelectenerg-3306 1000 21 . . PUNCT fuelectenerg-3306 1000 22 1008 1008 NUM fuelectenerg-3306 1000 23 . . PUNCT fuelectenerg-3306 1001 1 [ [ X fuelectenerg-3306 1001 2 11 11 NUM fuelectenerg-3306 1001 3 ] ] PUNCT fuelectenerg-3306 1001 4 j. j. PROPN fuelectenerg-3306 1001 5 climent climent PROPN fuelectenerg-3306 1001 6 , , PUNCT fuelectenerg-3306 1001 7 f. f. PROPN fuelectenerg-3306 1001 8 garcia garcia PROPN fuelectenerg-3306 1001 9 , , PUNCT fuelectenerg-3306 1001 10 and and CCONJ fuelectenerg-3306 1001 11 v. v. ADP fuelectenerg-3306 1001 12 requena requena NOUN fuelectenerg-3306 1001 13 , , PUNCT fuelectenerg-3306 1001 14 “ " PUNCT fuelectenerg-3306 1001 15 on on ADP fuelectenerg-3306 1001 16 the the DET fuelectenerg-3306 1001 17 iterative iterative NOUN fuelectenerg-3306 1001 18 construction construction NOUN fuelectenerg-3306 1001 19 of of ADP fuelectenerg-3306 1001 20 bent bent ADJ fuelectenerg-3306 1001 21 functions function NOUN fuelectenerg-3306 1001 22 , , PUNCT fuelectenerg-3306 1001 23 ” " PUNCT fuelectenerg-3306 1001 24 in in ADP fuelectenerg-3306 1001 25 proc proc NOUN fuelectenerg-3306 1001 26 . . PUNCT fuelectenerg-3306 1002 1 of of ADP fuelectenerg-3306 1002 2 the the DET fuelectenerg-3306 1002 3 5th 5th ADJ fuelectenerg-3306 1002 4 wseas wseas NOUN fuelectenerg-3306 1002 5 int int NOUN fuelectenerg-3306 1002 6 . . PUNCT fuelectenerg-3306 1002 7 conf conf PROPN fuelectenerg-3306 1002 8 . . PUNCT fuelectenerg-3306 1003 1 on on ADP fuelectenerg-3306 1003 2 inf inf PROPN fuelectenerg-3306 1003 3 . . PUNCT fuelectenerg-3306 1003 4 security security NOUN fuelectenerg-3306 1003 5 and and CCONJ fuelectenerg-3306 1003 6 privacy privacy NOUN fuelectenerg-3306 1003 7 ( ( PUNCT fuelectenerg-3306 1003 8 isp06 isp06 PROPN fuelectenerg-3306 1003 9 ) ) PUNCT fuelectenerg-3306 1003 10 , , PUNCT fuelectenerg-3306 1003 11 n. n. PROPN fuelectenerg-3306 1003 12 mastorakis mastorakis PROPN fuelectenerg-3306 1003 13 and and CCONJ fuelectenerg-3306 1003 14 a. a. NOUN fuelectenerg-3306 1003 15 cecchi cecchi NOUN fuelectenerg-3306 1003 16 , , PUNCT fuelectenerg-3306 1003 17 eds eds PROPN fuelectenerg-3306 1003 18 . . PROPN fuelectenerg-3306 1003 19 stevens stevens PROPN fuelectenerg-3306 1003 20 point point PROPN fuelectenerg-3306 1003 21 , , PUNCT fuelectenerg-3306 1003 22 wisconsin wisconsin PROPN fuelectenerg-3306 1003 23 , , PUNCT fuelectenerg-3306 1003 24 usa usa PROPN fuelectenerg-3306 1003 25 : : PUNCT fuelectenerg-3306 1003 26 world world NOUN fuelectenerg-3306 1003 27 scientific scientific ADJ fuelectenerg-3306 1003 28 and and CCONJ fuelectenerg-3306 1003 29 engineering engineering NOUN fuelectenerg-3306 1003 30 academy academy NOUN fuelectenerg-3306 1003 31 and and CCONJ fuelectenerg-3306 1003 32 society society NOUN fuelectenerg-3306 1003 33 ( ( PUNCT fuelectenerg-3306 1003 34 wseas wseas PROPN fuelectenerg-3306 1003 35 ) ) PUNCT fuelectenerg-3306 1003 36 , , PUNCT fuelectenerg-3306 1003 37 2006 2006 NUM fuelectenerg-3306 1003 38 , , PUNCT fuelectenerg-3306 1003 39 pp pp ADV fuelectenerg-3306 1003 40 . . PUNCT fuelectenerg-3306 1003 41 15–18 15–18 NUM fuelectenerg-3306 1003 42 . . PUNCT fuelectenerg-3306 1004 1 [ [ X fuelectenerg-3306 1004 2 12 12 NUM fuelectenerg-3306 1004 3 ] ] PUNCT fuelectenerg-3306 1004 4 j. j. PROPN fuelectenerg-3306 1004 5 climent climent PROPN fuelectenerg-3306 1004 6 , , PUNCT fuelectenerg-3306 1004 7 f. f. PROPN fuelectenerg-3306 1004 8 garca garca PROPN fuelectenerg-3306 1004 9 , , PUNCT fuelectenerg-3306 1004 10 and and CCONJ fuelectenerg-3306 1004 11 v. v. ADP fuelectenerg-3306 1004 12 requena requena NOUN fuelectenerg-3306 1004 13 , , PUNCT fuelectenerg-3306 1004 14 “ " PUNCT fuelectenerg-3306 1004 15 on on ADP fuelectenerg-3306 1004 16 the the DET fuelectenerg-3306 1004 17 construction construction NOUN fuelectenerg-3306 1004 18 of of ADP fuelectenerg-3306 1004 19 bent bent ADJ fuelectenerg-3306 1004 20 functions function NOUN fuelectenerg-3306 1004 21 of of ADP fuelectenerg-3306 1004 22 n+2 n+2 PRON fuelectenerg-3306 1004 23 variables variable NOUN fuelectenerg-3306 1004 24 from from ADP fuelectenerg-3306 1004 25 bent bent ADJ fuelectenerg-3306 1004 26 functions function NOUN fuelectenerg-3306 1004 27 of of ADP fuelectenerg-3306 1004 28 n n PRON fuelectenerg-3306 1004 29 variables variable NOUN fuelectenerg-3306 1004 30 , , PUNCT fuelectenerg-3306 1004 31 ” " PUNCT fuelectenerg-3306 1004 32 advances advance NOUN fuelectenerg-3306 1004 33 in in ADP fuelectenerg-3306 1004 34 mathematics mathematic NOUN fuelectenerg-3306 1004 35 of of ADP fuelectenerg-3306 1004 36 communications communication NOUN fuelectenerg-3306 1004 37 , , PUNCT fuelectenerg-3306 1004 38 vol vol NOUN fuelectenerg-3306 1004 39 . . PROPN fuelectenerg-3306 1004 40 2 2 NUM fuelectenerg-3306 1004 41 , , PUNCT fuelectenerg-3306 1004 42 pp pp ADJ fuelectenerg-3306 1004 43 . . PUNCT fuelectenerg-3306 1005 1 421–431 421–431 NUM fuelectenerg-3306 1005 2 , , PUNCT fuelectenerg-3306 1005 3 2008 2008 NUM fuelectenerg-3306 1005 4 . . PUNCT fuelectenerg-3306 1006 1 [ [ X fuelectenerg-3306 1006 2 13 13 NUM fuelectenerg-3306 1006 3 ] ] X fuelectenerg-3306 1006 4 c. c. PROPN fuelectenerg-3306 1006 5 carlet carlet PROPN fuelectenerg-3306 1006 6 , , PUNCT fuelectenerg-3306 1006 7 a a DET fuelectenerg-3306 1006 8 larger large ADJ fuelectenerg-3306 1006 9 class class NOUN fuelectenerg-3306 1006 10 of of ADP fuelectenerg-3306 1006 11 cryptographic cryptographic ADJ fuelectenerg-3306 1006 12 boolean boolean ADJ fuelectenerg-3306 1006 13 functions function NOUN fuelectenerg-3306 1006 14 via via ADP fuelectenerg-3306 1006 15 a a DET fuelectenerg-3306 1006 16 study study NOUN fuelectenerg-3306 1006 17 of of ADP fuelectenerg-3306 1006 18 the the DET fuelectenerg-3306 1006 19 maioranamcfarland maioranamcfarland NOUN fuelectenerg-3306 1006 20 construction construction NOUN fuelectenerg-3306 1006 21 , , PUNCT fuelectenerg-3306 1006 22 ser ser NOUN fuelectenerg-3306 1006 23 . . PUNCT fuelectenerg-3306 1007 1 lecture lecture NOUN fuelectenerg-3306 1007 2 notes note NOUN fuelectenerg-3306 1007 3 in in ADP fuelectenerg-3306 1007 4 computer computer NOUN fuelectenerg-3306 1007 5 science science NOUN fuelectenerg-3306 1007 6 , , PUNCT fuelectenerg-3306 1007 7 b. b. PROPN fuelectenerg-3306 1007 8 preneel preneel PROPN fuelectenerg-3306 1007 9 , , PUNCT fuelectenerg-3306 1007 10 ed ed NOUN fuelectenerg-3306 1007 11 . . PUNCT fuelectenerg-3306 1007 12 springer springer PROPN fuelectenerg-3306 1007 13 , , PUNCT fuelectenerg-3306 1007 14 2002 2002 NUM fuelectenerg-3306 1007 15 , , PUNCT fuelectenerg-3306 1007 16 vol vol NOUN fuelectenerg-3306 1007 17 . . PUNCT fuelectenerg-3306 1007 18 2442 2442 NUM fuelectenerg-3306 1007 19 . . PUNCT fuelectenerg-3306 1008 1 [ [ X fuelectenerg-3306 1008 2 14 14 NUM fuelectenerg-3306 1008 3 ] ] X fuelectenerg-3306 1008 4 p. p. NOUN fuelectenerg-3306 1008 5 langevin langevin PROPN fuelectenerg-3306 1008 6 and and CCONJ fuelectenerg-3306 1008 7 g. g. PROPN fuelectenerg-3306 1008 8 leander leander PROPN fuelectenerg-3306 1008 9 , , PUNCT fuelectenerg-3306 1008 10 “ " PUNCT fuelectenerg-3306 1008 11 monomial monomial ADJ fuelectenerg-3306 1008 12 bent bent ADJ fuelectenerg-3306 1008 13 functions function NOUN fuelectenerg-3306 1008 14 and and CCONJ fuelectenerg-3306 1008 15 stickelberger stickelberger NOUN fuelectenerg-3306 1008 16 ’s ’s PART fuelectenerg-3306 1008 17 theorem theorem ADJ fuelectenerg-3306 1008 18 , , PUNCT fuelectenerg-3306 1008 19 ” " PUNCT fuelectenerg-3306 1008 20 finite finite ADJ fuelectenerg-3306 1008 21 fields field NOUN fuelectenerg-3306 1008 22 and and CCONJ fuelectenerg-3306 1008 23 their their PRON fuelectenerg-3306 1008 24 applications application NOUN fuelectenerg-3306 1008 25 , , PUNCT fuelectenerg-3306 1008 26 vol vol NOUN fuelectenerg-3306 1008 27 . . PROPN fuelectenerg-3306 1009 1 14 14 NUM fuelectenerg-3306 1009 2 , , PUNCT fuelectenerg-3306 1009 3 no no INTJ fuelectenerg-3306 1009 4 . . NOUN fuelectenerg-3306 1009 5 3 3 NUM fuelectenerg-3306 1009 6 , , PUNCT fuelectenerg-3306 1009 7 pp pp ADJ fuelectenerg-3306 1009 8 . . PUNCT fuelectenerg-3306 1010 1 727–742 727–742 NUM fuelectenerg-3306 1010 2 , , PUNCT fuelectenerg-3306 1010 3 2008 2008 NUM fuelectenerg-3306 1010 4 . . PUNCT fuelectenerg-3306 1011 1 construction construction NOUN fuelectenerg-3306 1011 2 of of ADP fuelectenerg-3306 1011 3 subsets subset NOUN fuelectenerg-3306 1011 4 of of ADP fuelectenerg-3306 1011 5 bent bent ADJ fuelectenerg-3306 1011 6 functions function NOUN fuelectenerg-3306 1011 7 satisfying satisfy VERB fuelectenerg-3306 1011 8 restrictions restriction NOUN fuelectenerg-3306 1011 9 ... ... PUNCT fuelectenerg-3306 1011 10 13 13 NUM fuelectenerg-3306 1011 11 table table NOUN fuelectenerg-3306 1011 12 4 4 NUM fuelectenerg-3306 1011 13 : : PUNCT fuelectenerg-3306 1011 14 the the DET fuelectenerg-3306 1011 15 number number NOUN fuelectenerg-3306 1011 16 of of ADP fuelectenerg-3306 1011 17 bent bent ADJ fuelectenerg-3306 1011 18 functions function NOUN fuelectenerg-3306 1011 19 in in ADP fuelectenerg-3306 1011 20 some some DET fuelectenerg-3306 1011 21 subsets subset NOUN fuelectenerg-3306 1011 22 h(kmin h(kmin NOUN fuelectenerg-3306 1011 23 , , PUNCT fuelectenerg-3306 1011 24 kmax kmax PROPN fuelectenerg-3306 1011 25 ) ) PUNCT fuelectenerg-3306 1011 26 for for ADP fuelectenerg-3306 1011 27 n n PRON fuelectenerg-3306 1011 28 = = NOUN fuelectenerg-3306 1011 29 4,6 4,6 NUM fuelectenerg-3306 1011 30 , , PUNCT fuelectenerg-3306 1011 31 and and CCONJ fuelectenerg-3306 1011 32 , , PUNCT fuelectenerg-3306 1011 33 8 8 NUM fuelectenerg-3306 1011 34 variables variable NOUN fuelectenerg-3306 1011 35 n n PRON fuelectenerg-3306 1011 36 kmin kmin NOUN fuelectenerg-3306 1011 37 , , PUNCT fuelectenerg-3306 1011 38 kmax kmax PROPN fuelectenerg-3306 1011 39 # # SYM fuelectenerg-3306 1011 40 f f PROPN fuelectenerg-3306 1011 41 of of ADP fuelectenerg-3306 1011 42 h(kmin h(kmin NOUN fuelectenerg-3306 1011 43 , , PUNCT fuelectenerg-3306 1011 44 kmax kmax PROPN fuelectenerg-3306 1011 45 ) ) PUNCT fuelectenerg-3306 1011 46 4 4 NUM fuelectenerg-3306 1011 47 2,2 2,2 NUM fuelectenerg-3306 1011 48 24 24 NUM fuelectenerg-3306 1011 49 6 6 NUM fuelectenerg-3306 1011 50 2,2 2,2 NUM fuelectenerg-3306 1011 51 13440 13440 NUM fuelectenerg-3306 1011 52 6 6 NUM fuelectenerg-3306 1011 53 3,3 3,3 NUM fuelectenerg-3306 1011 54 12 12 NUM fuelectenerg-3306 1011 55 8 8 NUM fuelectenerg-3306 1011 56 2,2 2,2 NUM fuelectenerg-3306 1011 57 111992832 111992832 NUM fuelectenerg-3306 1011 58 table table NOUN fuelectenerg-3306 1011 59 5 5 NUM fuelectenerg-3306 1011 60 : : PUNCT fuelectenerg-3306 1011 61 the the DET fuelectenerg-3306 1011 62 number number NOUN fuelectenerg-3306 1011 63 of of ADP fuelectenerg-3306 1011 64 bent bent ADJ fuelectenerg-3306 1011 65 functions function NOUN fuelectenerg-3306 1011 66 in in ADP fuelectenerg-3306 1011 67 some some DET fuelectenerg-3306 1011 68 subsets subset NOUN fuelectenerg-3306 1011 69 g(k g(k PROPN fuelectenerg-3306 1011 70 , , PUNCT fuelectenerg-3306 1011 71 kmin kmin NOUN fuelectenerg-3306 1011 72 , , PUNCT fuelectenerg-3306 1011 73 kmax kmax PROPN fuelectenerg-3306 1011 74 ) ) PUNCT fuelectenerg-3306 1011 75 for for ADP fuelectenerg-3306 1011 76 n n NOUN fuelectenerg-3306 1011 77 = = SYM fuelectenerg-3306 1011 78 4 4 NUM fuelectenerg-3306 1011 79 variables variable NOUN fuelectenerg-3306 1011 80 k k PROPN fuelectenerg-3306 1011 81 , , PUNCT fuelectenerg-3306 1011 82 kmin kmin PROPN fuelectenerg-3306 1011 83 , , PUNCT fuelectenerg-3306 1011 84 kmax kmax PROPN fuelectenerg-3306 1011 85 # # SYM fuelectenerg-3306 1011 86 f f NOUN fuelectenerg-3306 1011 87 of of ADP fuelectenerg-3306 1011 88 g(k g(k PROPN fuelectenerg-3306 1011 89 , , PUNCT fuelectenerg-3306 1011 90 kmin kmin NOUN fuelectenerg-3306 1011 91 , , PUNCT fuelectenerg-3306 1011 92 kmax kmax PROPN fuelectenerg-3306 1011 93 ) ) PUNCT fuelectenerg-3306 1012 1 2,2,2 2,2,2 NUM fuelectenerg-3306 1012 2 2 2 NUM fuelectenerg-3306 1012 3 3,2,2 3,2,2 NUM fuelectenerg-3306 1012 4 8 8 NUM fuelectenerg-3306 1012 5 4,2,2 4,2,2 NUM fuelectenerg-3306 1012 6 10 10 NUM fuelectenerg-3306 1012 7 5,2,2 5,2,2 NUM fuelectenerg-3306 1012 8 4 4 NUM fuelectenerg-3306 1012 9 table table NOUN fuelectenerg-3306 1012 10 6 6 NUM fuelectenerg-3306 1012 11 : : PUNCT fuelectenerg-3306 1012 12 the the DET fuelectenerg-3306 1012 13 number number NOUN fuelectenerg-3306 1012 14 of of ADP fuelectenerg-3306 1012 15 bent bent ADJ fuelectenerg-3306 1012 16 functions function NOUN fuelectenerg-3306 1012 17 in in ADP fuelectenerg-3306 1012 18 some some DET fuelectenerg-3306 1012 19 subsets subset NOUN fuelectenerg-3306 1012 20 g(k g(k PROPN fuelectenerg-3306 1012 21 , , PUNCT fuelectenerg-3306 1012 22 kmin kmin NOUN fuelectenerg-3306 1012 23 , , PUNCT fuelectenerg-3306 1012 24 kmax kmax PROPN fuelectenerg-3306 1012 25 ) ) PUNCT fuelectenerg-3306 1012 26 for for ADP fuelectenerg-3306 1012 27 n n NOUN fuelectenerg-3306 1012 28 = = SYM fuelectenerg-3306 1012 29 6 6 NUM fuelectenerg-3306 1012 30 variables variable NOUN fuelectenerg-3306 1012 31 k k PROPN fuelectenerg-3306 1012 32 , , PUNCT fuelectenerg-3306 1012 33 kmin kmin PROPN fuelectenerg-3306 1012 34 , , PUNCT fuelectenerg-3306 1012 35 kmax kmax PROPN fuelectenerg-3306 1012 36 # # SYM fuelectenerg-3306 1012 37 f f NOUN fuelectenerg-3306 1012 38 of of ADP fuelectenerg-3306 1012 39 g(k g(k PROPN fuelectenerg-3306 1012 40 , , PUNCT fuelectenerg-3306 1012 41 kmin kmin NOUN fuelectenerg-3306 1012 42 , , PUNCT fuelectenerg-3306 1012 43 kmax kmax PROPN fuelectenerg-3306 1012 44 ) ) PUNCT fuelectenerg-3306 1012 45 3,2,2 3,2,2 NUM fuelectenerg-3306 1012 46 12 12 NUM fuelectenerg-3306 1012 47 4,2,2 4,2,2 NUM fuelectenerg-3306 1012 48 144 144 NUM fuelectenerg-3306 1012 49 5,2,2 5,2,2 NUM fuelectenerg-3306 1012 50 732 732 NUM fuelectenerg-3306 1012 51 6,2,2 6,2,2 NUM fuelectenerg-3306 1012 52 1968 1968 NUM fuelectenerg-3306 1012 53 7,2,2 7,2,2 NUM fuelectenerg-3306 1012 54 3008 3008 NUM fuelectenerg-3306 1012 55 8,2,2 8,2,2 NUM fuelectenerg-3306 1012 56 3040 3040 NUM fuelectenerg-3306 1012 57 9,2,2 9,2,2 NUM fuelectenerg-3306 1012 58 2360 2360 NUM fuelectenerg-3306 1012 59 10,2,2 10,2,2 NUM fuelectenerg-3306 1012 60 1384 1384 NUM fuelectenerg-3306 1012 61 11,2,2 11,2,2 NUM fuelectenerg-3306 1012 62 564 564 NUM fuelectenerg-3306 1012 63 12,2,2 12,2,2 NUM fuelectenerg-3306 1012 64 176 176 NUM fuelectenerg-3306 1012 65 13,2,2 13,2,2 NUM fuelectenerg-3306 1012 66 44 44 NUM fuelectenerg-3306 1012 67 14,2,2 14,2,2 NUM fuelectenerg-3306 1012 68 8 8 NUM fuelectenerg-3306 1012 69 16,3,3 16,3,3 NUM fuelectenerg-3306 1012 70 6 6 NUM fuelectenerg-3306 1012 71 17,3,3 17,3,3 NUM fuelectenerg-3306 1012 72 6 6 NUM fuelectenerg-3306 1012 73 generation generation NOUN fuelectenerg-3306 1012 74 of of ADP fuelectenerg-3306 1012 75 bent bent ADJ fuelectenerg-3306 1012 76 function function NOUN fuelectenerg-3306 1012 77 is be AUX fuelectenerg-3306 1012 78 exponential exponential ADJ fuelectenerg-3306 1012 79 in in ADP fuelectenerg-3306 1012 80 terms term NOUN fuelectenerg-3306 1012 81 of of ADP fuelectenerg-3306 1012 82 the the DET fuelectenerg-3306 1012 83 number number NOUN fuelectenerg-3306 1012 84 of of ADP fuelectenerg-3306 1012 85 variables variable NOUN fuelectenerg-3306 1012 86 . . PUNCT fuelectenerg-3306 1013 1 in in ADP fuelectenerg-3306 1013 2 this this DET fuelectenerg-3306 1013 3 paper paper NOUN fuelectenerg-3306 1013 4 , , PUNCT fuelectenerg-3306 1013 5 we we PRON fuelectenerg-3306 1013 6 propose propose VERB fuelectenerg-3306 1013 7 an an DET fuelectenerg-3306 1013 8 approach approach NOUN fuelectenerg-3306 1013 9 to to ADP fuelectenerg-3306 1013 10 the the DET fuelectenerg-3306 1013 11 restriction restriction NOUN fuelectenerg-3306 1013 12 of of ADP fuelectenerg-3306 1013 13 the the DET fuelectenerg-3306 1013 14 search search NOUN fuelectenerg-3306 1013 15 space space NOUN fuelectenerg-3306 1013 16 based base VERB fuelectenerg-3306 1013 17 on on ADP fuelectenerg-3306 1013 18 the the DET fuelectenerg-3306 1013 19 restriction restriction NOUN fuelectenerg-3306 1013 20 of of ADP fuelectenerg-3306 1013 21 the the DET fuelectenerg-3306 1013 22 number number NOUN fuelectenerg-3306 1013 23 and and CCONJ fuelectenerg-3306 1013 24 order order NOUN fuelectenerg-3306 1013 25 of of ADP fuelectenerg-3306 1013 26 rm rm NOUN fuelectenerg-3306 1013 27 - - PUNCT fuelectenerg-3306 1013 28 coefficients coefficient NOUN fuelectenerg-3306 1013 29 for for ADP fuelectenerg-3306 1013 30 bent bent ADJ fuelectenerg-3306 1013 31 functions function NOUN fuelectenerg-3306 1013 32 . . PUNCT fuelectenerg-3306 1014 1 using use VERB fuelectenerg-3306 1014 2 properties property NOUN fuelectenerg-3306 1014 3 of of ADP fuelectenerg-3306 1014 4 bent bent ADJ fuelectenerg-3306 1014 5 function function NOUN fuelectenerg-3306 1014 6 in in ADP fuelectenerg-3306 1014 7 rm rm NOUN fuelectenerg-3306 1014 8 domain domain NOUN fuelectenerg-3306 1014 9 , , PUNCT fuelectenerg-3306 1014 10 we we PRON fuelectenerg-3306 1014 11 define define VERB fuelectenerg-3306 1014 12 rm rm PROPN fuelectenerg-3306 1014 13 vertical vertical NOUN fuelectenerg-3306 1014 14 , , PUNCT fuelectenerg-3306 1014 15 220 220 NUM fuelectenerg-3306 1014 16 m. m. NOUN fuelectenerg-3306 1014 17 radmanović radmanović NOUN fuelectenerg-3306 1014 18 , , PUNCT fuelectenerg-3306 1014 19 r. r. PROPN fuelectenerg-3306 1014 20 s. s. PROPN fuelectenerg-3306 1014 21 stanković stanković PROPN fuelectenerg-3306 1014 22 construction construction NOUN fuelectenerg-3306 1014 23 of of ADP fuelectenerg-3306 1014 24 subsets subset NOUN fuelectenerg-3306 1014 25 of of ADP fuelectenerg-3306 1014 26 bent bent ADJ fuelectenerg-3306 1014 27 functions function NOUN fuelectenerg-3306 1014 28 satisfying satisfy VERB fuelectenerg-3306 1014 29 restrictions restriction NOUN fuelectenerg-3306 1014 30 ... ... PUNCT fuelectenerg-3306 1014 31 221 221 NUM fuelectenerg-3306 1014 32 16 16 NUM fuelectenerg-3306 1014 33 m. m. NOUN fuelectenerg-3306 1014 34 radmanović radmanović PROPN fuelectenerg-3306 1014 35 and and CCONJ fuelectenerg-3306 1014 36 r. r. PROPN fuelectenerg-3306 1014 37 stanković stanković PROPN fuelectenerg-3306 1015 1 [ [ X fuelectenerg-3306 1015 2 15 15 NUM fuelectenerg-3306 1015 3 ] ] X fuelectenerg-3306 1015 4 a. a. NOUN fuelectenerg-3306 1015 5 m. m. PROPN fuelectenerg-3306 1015 6 youssef youssef PROPN fuelectenerg-3306 1015 7 and and CCONJ fuelectenerg-3306 1015 8 g. g. PROPN fuelectenerg-3306 1015 9 gong gong PROPN fuelectenerg-3306 1015 10 , , PUNCT fuelectenerg-3306 1015 11 hyper hyper ADJ fuelectenerg-3306 1015 12 - - ADJ fuelectenerg-3306 1015 13 bent bent ADJ fuelectenerg-3306 1015 14 functions function NOUN fuelectenerg-3306 1015 15 , , PUNCT fuelectenerg-3306 1015 16 ser ser NOUN fuelectenerg-3306 1015 17 . . PUNCT fuelectenerg-3306 1016 1 lecture lecture NOUN fuelectenerg-3306 1016 2 notes note NOUN fuelectenerg-3306 1016 3 in in ADP fuelectenerg-3306 1016 4 computer computer NOUN fuelectenerg-3306 1016 5 science science NOUN fuelectenerg-3306 1016 6 , , PUNCT fuelectenerg-3306 1016 7 b. b. PROPN fuelectenerg-3306 1016 8 preneel preneel PROPN fuelectenerg-3306 1016 9 , , PUNCT fuelectenerg-3306 1016 10 ed ed NOUN fuelectenerg-3306 1016 11 . . PUNCT fuelectenerg-3306 1016 12 springer springer NOUN fuelectenerg-3306 1016 13 , , PUNCT fuelectenerg-3306 1016 14 2001 2001 NUM fuelectenerg-3306 1016 15 , , PUNCT fuelectenerg-3306 1016 16 vol vol NOUN fuelectenerg-3306 1016 17 . . NOUN fuelectenerg-3306 1016 18 2045 2045 NUM fuelectenerg-3306 1016 19 . . PUNCT fuelectenerg-3306 1017 1 [ [ X fuelectenerg-3306 1017 2 16 16 NUM fuelectenerg-3306 1017 3 ] ] X fuelectenerg-3306 1017 4 h. h. PROPN fuelectenerg-3306 1017 5 dobbertin dobbertin PROPN fuelectenerg-3306 1017 6 , , PUNCT fuelectenerg-3306 1017 7 g. g. PROPN fuelectenerg-3306 1017 8 leander leander PROPN fuelectenerg-3306 1017 9 , , PUNCT fuelectenerg-3306 1017 10 a. a. NOUN fuelectenerg-3306 1017 11 canteaut canteaut PROPN fuelectenerg-3306 1017 12 , , PUNCT fuelectenerg-3306 1017 13 c. c. PROPN fuelectenerg-3306 1017 14 carlet carlet PROPN fuelectenerg-3306 1017 15 , , PUNCT fuelectenerg-3306 1017 16 p. p. NOUN fuelectenerg-3306 1017 17 felke felke NOUN fuelectenerg-3306 1017 18 , , PUNCT fuelectenerg-3306 1017 19 and and CCONJ fuelectenerg-3306 1017 20 p. p. PROPN fuelectenerg-3306 1017 21 gaborit gaborit NOUN fuelectenerg-3306 1017 22 , , PUNCT fuelectenerg-3306 1017 23 “ " PUNCT fuelectenerg-3306 1017 24 construction construction NOUN fuelectenerg-3306 1017 25 of of ADP fuelectenerg-3306 1017 26 bent bent ADJ fuelectenerg-3306 1017 27 functions function NOUN fuelectenerg-3306 1017 28 via via ADP fuelectenerg-3306 1017 29 niho niho ADJ fuelectenerg-3306 1017 30 power power NOUN fuelectenerg-3306 1017 31 functions function NOUN fuelectenerg-3306 1017 32 , , PUNCT fuelectenerg-3306 1017 33 ” " PUNCT fuelectenerg-3306 1017 34 journal journal NOUN fuelectenerg-3306 1017 35 of of ADP fuelectenerg-3306 1017 36 combinatorial combinatorial ADJ fuelectenerg-3306 1017 37 theory theory NOUN fuelectenerg-3306 1017 38 , , PUNCT fuelectenerg-3306 1017 39 vol vol NOUN fuelectenerg-3306 1017 40 . . PROPN fuelectenerg-3306 1017 41 113 113 NUM fuelectenerg-3306 1017 42 , , PUNCT fuelectenerg-3306 1017 43 no no INTJ fuelectenerg-3306 1017 44 . . NOUN fuelectenerg-3306 1017 45 5 5 NUM fuelectenerg-3306 1017 46 , , PUNCT fuelectenerg-3306 1017 47 pp pp ADJ fuelectenerg-3306 1017 48 . . PUNCT fuelectenerg-3306 1018 1 779–798 779–798 NUM fuelectenerg-3306 1018 2 , , PUNCT fuelectenerg-3306 1018 3 2006 2006 NUM fuelectenerg-3306 1018 4 . . PUNCT fuelectenerg-3306 1019 1 [ [ X fuelectenerg-3306 1019 2 17 17 NUM fuelectenerg-3306 1019 3 ] ] PUNCT fuelectenerg-3306 1019 4 j. j. PROPN fuelectenerg-3306 1019 5 l. l. PROPN fuelectenerg-3306 1019 6 shafer shafer PROPN fuelectenerg-3306 1019 7 , , PUNCT fuelectenerg-3306 1019 8 s. s. PROPN fuelectenerg-3306 1019 9 w. w. PROPN fuelectenerg-3306 1019 10 schneider schneider PROPN fuelectenerg-3306 1019 11 , , PUNCT fuelectenerg-3306 1019 12 j. j. PROPN fuelectenerg-3306 1019 13 t. t. PROPN fuelectenerg-3306 1019 14 butler butler PROPN fuelectenerg-3306 1019 15 , , PUNCT fuelectenerg-3306 1019 16 and and CCONJ fuelectenerg-3306 1019 17 p. p. PROPN fuelectenerg-3306 1019 18 stanica stanica PROPN fuelectenerg-3306 1019 19 , , PUNCT fuelectenerg-3306 1019 20 “ " PUNCT fuelectenerg-3306 1019 21 enumeration enumeration NOUN fuelectenerg-3306 1019 22 of of ADP fuelectenerg-3306 1019 23 bent bent ADJ fuelectenerg-3306 1019 24 boolean boolean ADJ fuelectenerg-3306 1019 25 functions function NOUN fuelectenerg-3306 1019 26 by by ADP fuelectenerg-3306 1019 27 reconfigurable reconfigurable ADJ fuelectenerg-3306 1019 28 computer computer NOUN fuelectenerg-3306 1019 29 , , PUNCT fuelectenerg-3306 1019 30 ” " PUNCT fuelectenerg-3306 1019 31 in in ADP fuelectenerg-3306 1019 32 proc proc NOUN fuelectenerg-3306 1019 33 . . PUNCT fuelectenerg-3306 1020 1 of of ADP fuelectenerg-3306 1020 2 18th 18th ADJ fuelectenerg-3306 1020 3 ieee ieee NOUN fuelectenerg-3306 1020 4 annual annual ADJ fuelectenerg-3306 1020 5 int int NOUN fuelectenerg-3306 1020 6 . . PUNCT fuelectenerg-3306 1021 1 symposium symposium NOUN fuelectenerg-3306 1021 2 on on ADP fuelectenerg-3306 1021 3 field field NOUN fuelectenerg-3306 1021 4 - - PUNCT fuelectenerg-3306 1021 5 programmable programmable ADJ fuelectenerg-3306 1021 6 custom custom NOUN fuelectenerg-3306 1021 7 computing compute VERB fuelectenerg-3306 1021 8 machines machine NOUN fuelectenerg-3306 1021 9 , , PUNCT fuelectenerg-3306 1021 10 vol vol NOUN fuelectenerg-3306 1021 11 . . PROPN fuelectenerg-3306 1021 12 2 2 NUM fuelectenerg-3306 1021 13 , , PUNCT fuelectenerg-3306 1021 14 charlotte charlotte PROPN fuelectenerg-3306 1021 15 , , PUNCT fuelectenerg-3306 1021 16 nc nc PROPN fuelectenerg-3306 1021 17 , , PUNCT fuelectenerg-3306 1021 18 usa usa PROPN fuelectenerg-3306 1021 19 , , PUNCT fuelectenerg-3306 1021 20 2010 2010 NUM fuelectenerg-3306 1021 21 , , PUNCT fuelectenerg-3306 1021 22 pp pp ADJ fuelectenerg-3306 1021 23 . . PUNCT fuelectenerg-3306 1022 1 265–272 265–272 NUM fuelectenerg-3306 1022 2 . . PUNCT fuelectenerg-3306 1023 1 [ [ X fuelectenerg-3306 1023 2 18 18 NUM fuelectenerg-3306 1023 3 ] ] X fuelectenerg-3306 1023 4 p. p. NOUN fuelectenerg-3306 1023 5 langevin langevin NOUN fuelectenerg-3306 1023 6 and and CCONJ fuelectenerg-3306 1023 7 g. g. PROPN fuelectenerg-3306 1023 8 leander leander PROPN fuelectenerg-3306 1023 9 , , PUNCT fuelectenerg-3306 1023 10 “ " PUNCT fuelectenerg-3306 1023 11 counting count VERB fuelectenerg-3306 1023 12 all all DET fuelectenerg-3306 1023 13 bent bent ADJ fuelectenerg-3306 1023 14 functions function NOUN fuelectenerg-3306 1023 15 in in ADP fuelectenerg-3306 1023 16 dimension dimension NOUN fuelectenerg-3306 1023 17 eight eight NUM fuelectenerg-3306 1023 18 , , PUNCT fuelectenerg-3306 1023 19 ” " PUNCT fuelectenerg-3306 1023 20 designs design NOUN fuelectenerg-3306 1023 21 , , PUNCT fuelectenerg-3306 1023 22 codes code NOUN fuelectenerg-3306 1023 23 and and CCONJ fuelectenerg-3306 1023 24 cryptography cryptography NOUN fuelectenerg-3306 1023 25 , , PUNCT fuelectenerg-3306 1023 26 vol vol NOUN fuelectenerg-3306 1023 27 . . PROPN fuelectenerg-3306 1023 28 59 59 NUM fuelectenerg-3306 1023 29 , , PUNCT fuelectenerg-3306 1023 30 pp pp ADJ fuelectenerg-3306 1023 31 . . PUNCT fuelectenerg-3306 1024 1 193–201 193–201 NUM fuelectenerg-3306 1024 2 , , PUNCT fuelectenerg-3306 1024 3 2011 2011 NUM fuelectenerg-3306 1024 4 . . PUNCT fuelectenerg-3306 1025 1 [ [ X fuelectenerg-3306 1025 2 19 19 NUM fuelectenerg-3306 1025 3 ] ] PUNCT fuelectenerg-3306 1025 4 m. m. NOUN fuelectenerg-3306 1025 5 radmanović radmanović PROPN fuelectenerg-3306 1025 6 and and CCONJ fuelectenerg-3306 1025 7 r. r. PROPN fuelectenerg-3306 1025 8 s. s. PROPN fuelectenerg-3306 1025 9 stanković stanković PROPN fuelectenerg-3306 1025 10 , , PUNCT fuelectenerg-3306 1025 11 “ " PUNCT fuelectenerg-3306 1025 12 random random ADJ fuelectenerg-3306 1025 13 generation generation NOUN fuelectenerg-3306 1025 14 of of ADP fuelectenerg-3306 1025 15 bent bent ADJ fuelectenerg-3306 1025 16 functions function NOUN fuelectenerg-3306 1025 17 on on ADP fuelectenerg-3306 1025 18 multicore multicore ADJ fuelectenerg-3306 1025 19 cpu cpu NOUN fuelectenerg-3306 1025 20 platform platform NOUN fuelectenerg-3306 1025 21 , , PUNCT fuelectenerg-3306 1025 22 ” " PUNCT fuelectenerg-3306 1025 23 in in ADP fuelectenerg-3306 1025 24 proc proc NOUN fuelectenerg-3306 1025 25 . . PUNCT fuelectenerg-3306 1026 1 of of ADP fuelectenerg-3306 1026 2 51st 51st ADJ fuelectenerg-3306 1026 3 int int NOUN fuelectenerg-3306 1026 4 . . PUNCT fuelectenerg-3306 1027 1 sci sci PROPN fuelectenerg-3306 1027 2 . . PUNCT fuelectenerg-3306 1027 3 conf conf PROPN fuelectenerg-3306 1027 4 . . PUNCT fuelectenerg-3306 1028 1 on on ADP fuelectenerg-3306 1028 2 inf inf PROPN fuelectenerg-3306 1028 3 . . PROPN fuelectenerg-3306 1028 4 , , PUNCT fuelectenerg-3306 1028 5 communication communication NOUN fuelectenerg-3306 1028 6 and and CCONJ fuelectenerg-3306 1028 7 energy energy NOUN fuelectenerg-3306 1028 8 systems system NOUN fuelectenerg-3306 1028 9 and and CCONJ fuelectenerg-3306 1028 10 technologies technology NOUN fuelectenerg-3306 1028 11 ( ( PUNCT fuelectenerg-3306 1028 12 icest icest NOUN fuelectenerg-3306 1028 13 2016 2016 NUM fuelectenerg-3306 1028 14 ) ) PUNCT fuelectenerg-3306 1028 15 , , PUNCT fuelectenerg-3306 1028 16 ohrid ohrid PROPN fuelectenerg-3306 1028 17 , , PUNCT fuelectenerg-3306 1028 18 macedonia macedonia PROPN fuelectenerg-3306 1028 19 , , PUNCT fuelectenerg-3306 1028 20 2016 2016 NUM fuelectenerg-3306 1028 21 , , PUNCT fuelectenerg-3306 1028 22 pp pp ADJ fuelectenerg-3306 1028 23 . . PUNCT fuelectenerg-3306 1029 1 239–242 239–242 NUM fuelectenerg-3306 1029 2 . . PUNCT fuelectenerg-3306 1030 1 [ [ X fuelectenerg-3306 1030 2 20 20 NUM fuelectenerg-3306 1030 3 ] ] PUNCT fuelectenerg-3306 1030 4 m. m. NOUN fuelectenerg-3306 1030 5 radmanović radmanović PROPN fuelectenerg-3306 1030 6 , , PUNCT fuelectenerg-3306 1030 7 “ " PUNCT fuelectenerg-3306 1030 8 efficient efficient ADJ fuelectenerg-3306 1030 9 random random ADJ fuelectenerg-3306 1030 10 generation generation NOUN fuelectenerg-3306 1030 11 of of ADP fuelectenerg-3306 1030 12 bent bent ADJ fuelectenerg-3306 1030 13 functions function NOUN fuelectenerg-3306 1030 14 using use VERB fuelectenerg-3306 1030 15 gpu gpu NOUN fuelectenerg-3306 1030 16 platform platform NOUN fuelectenerg-3306 1030 17 , , PUNCT fuelectenerg-3306 1030 18 ” " PUNCT fuelectenerg-3306 1030 19 in in ADP fuelectenerg-3306 1030 20 proc proc NOUN fuelectenerg-3306 1030 21 . . PUNCT fuelectenerg-3306 1031 1 12th 12th ADJ fuelectenerg-3306 1031 2 int int NOUN fuelectenerg-3306 1031 3 . . PUNCT fuelectenerg-3306 1032 1 workshop workshop NOUN fuelectenerg-3306 1032 2 on on ADP fuelectenerg-3306 1032 3 boolean boolean ADJ fuelectenerg-3306 1032 4 problems problem NOUN fuelectenerg-3306 1032 5 ( ( PUNCT fuelectenerg-3306 1032 6 iwsbp2016 iwsbp2016 PROPN fuelectenerg-3306 1032 7 ) ) PUNCT fuelectenerg-3306 1032 8 , , PUNCT fuelectenerg-3306 1032 9 freiberg freiberg PROPN fuelectenerg-3306 1032 10 , , PUNCT fuelectenerg-3306 1032 11 germany germany PROPN fuelectenerg-3306 1032 12 , , PUNCT fuelectenerg-3306 1032 13 2016 2016 NUM fuelectenerg-3306 1032 14 , , PUNCT fuelectenerg-3306 1032 15 pp pp ADJ fuelectenerg-3306 1032 16 . . PUNCT fuelectenerg-3306 1033 1 167–173 167–173 NUM fuelectenerg-3306 1033 2 . . PUNCT fuelectenerg-3306 1034 1 [ [ X fuelectenerg-3306 1034 2 21 21 NUM fuelectenerg-3306 1034 3 ] ] PUNCT fuelectenerg-3306 1034 4 s. s. PROPN fuelectenerg-3306 1034 5 w. w. PROPN fuelectenerg-3306 1034 6 schneider schneider PROPN fuelectenerg-3306 1034 7 and and CCONJ fuelectenerg-3306 1034 8 j. j. PROPN fuelectenerg-3306 1034 9 t. t. PROPN fuelectenerg-3306 1034 10 butler butler PROPN fuelectenerg-3306 1034 11 , , PUNCT fuelectenerg-3306 1034 12 bent bent ADJ fuelectenerg-3306 1034 13 function function NOUN fuelectenerg-3306 1034 14 enumeration enumeration NOUN fuelectenerg-3306 1034 15 by by ADP fuelectenerg-3306 1034 16 a a DET fuelectenerg-3306 1034 17 circular circular ADJ fuelectenerg-3306 1034 18 pipeline pipeline NOUN fuelectenerg-3306 1034 19 implemented implement VERB fuelectenerg-3306 1034 20 on on ADP fuelectenerg-3306 1034 21 fpga fpga PROPN fuelectenerg-3306 1034 22 , , PUNCT fuelectenerg-3306 1034 23 b. b. PROPN fuelectenerg-3306 1034 24 steinbach steinbach PROPN fuelectenerg-3306 1034 25 , , PUNCT fuelectenerg-3306 1034 26 ed ed PROPN fuelectenerg-3306 1034 27 . . PUNCT fuelectenerg-3306 1035 1 cambridge cambridge PROPN fuelectenerg-3306 1035 2 scholars scholars PROPN fuelectenerg-3306 1035 3 publishing publishing PROPN fuelectenerg-3306 1035 4 , , PUNCT fuelectenerg-3306 1035 5 2017 2017 NUM fuelectenerg-3306 1035 6 . . PUNCT fuelectenerg-3306 1036 1 222 222 NUM fuelectenerg-3306 1036 2 m. m. NOUN fuelectenerg-3306 1036 3 radmanović radmanović NOUN fuelectenerg-3306 1036 4 , , PUNCT fuelectenerg-3306 1036 5 r. r. PROPN fuelectenerg-3306 1036 6 s. s. PROPN fuelectenerg-3306 1036 7 stanković stanković PROPN fuelectenerg-3306 1036 8 construction construction NOUN fuelectenerg-3306 1036 9 of of ADP fuelectenerg-3306 1036 10 subsets subset NOUN fuelectenerg-3306 1036 11 of of ADP fuelectenerg-3306 1036 12 bent bent ADJ fuelectenerg-3306 1036 13 functions function NOUN fuelectenerg-3306 1036 14 satisfying satisfy VERB fuelectenerg-3306 1036 15 restrictions restriction NOUN fuelectenerg-3306 1036 16 ... ... PUNCT fuelectenerg-3306 1036 17 pb pb ADP