id sid tid token lemma pos ajst-20796 1 1 academic academic ADJ ajst-20796 1 2 journal journal NOUN ajst-20796 1 3 of of ADP ajst-20796 1 4 science science NOUN ajst-20796 1 5 and and CCONJ ajst-20796 1 6 technology technology NOUN ajst-20796 1 7 issn issn NOUN ajst-20796 1 8 : : PUNCT ajst-20796 1 9 2771 2771 NUM ajst-20796 1 10 - - SYM ajst-20796 1 11 3032 3032 NUM ajst-20796 1 12 | | NOUN ajst-20796 1 13 vol vol NOUN ajst-20796 1 14 . . PROPN ajst-20796 2 1 10 10 NUM ajst-20796 2 2 , , PUNCT ajst-20796 2 3 no no INTJ ajst-20796 2 4 . . NOUN ajst-20796 2 5 3 3 NUM ajst-20796 2 6 , , PUNCT ajst-20796 2 7 2024 2024 NUM ajst-20796 2 8 111 111 NUM ajst-20796 2 9 construction construction NOUN ajst-20796 2 10 of of ADP ajst-20796 2 11 line line NOUN ajst-20796 2 12 layout layout NOUN ajst-20796 2 13 model model NOUN ajst-20796 2 14 based base VERB ajst-20796 2 15 on on ADP ajst-20796 2 16 geometric geometric ADJ ajst-20796 2 17 deduction deduction NOUN ajst-20796 2 18 and and CCONJ ajst-20796 2 19 constrained constrain VERB ajst-20796 2 20 heuristic heuristic ADJ ajst-20796 2 21 search search NOUN ajst-20796 2 22 jinghao jinghao PROPN ajst-20796 2 23 deng deng PROPN ajst-20796 2 24 , , PUNCT ajst-20796 2 25 shunjiao shunjiao PROPN ajst-20796 2 26 xue xue PROPN ajst-20796 2 27 , , PUNCT ajst-20796 2 28 yinghan yinghan PROPN ajst-20796 2 29 zhang zhang PROPN ajst-20796 2 30 , , PUNCT ajst-20796 2 31 qi qi PROPN ajst-20796 2 32 zhang zhang PROPN ajst-20796 2 33 north north PROPN ajst-20796 2 34 china china PROPN ajst-20796 2 35 electric electric PROPN ajst-20796 2 36 power power PROPN ajst-20796 2 37 university university PROPN ajst-20796 2 38 , , PUNCT ajst-20796 2 39 department department NOUN ajst-20796 2 40 of of ADP ajst-20796 2 41 electrical electrical ADJ ajst-20796 2 42 engineering engineering NOUN ajst-20796 2 43 , , PUNCT ajst-20796 2 44 baoding baoding PROPN ajst-20796 2 45 hebei hebei PROPN ajst-20796 2 46 071000 071000 NUM ajst-20796 2 47 , , PUNCT ajst-20796 2 48 china china PROPN ajst-20796 2 49 abstract abstract NOUN ajst-20796 2 50 : : PUNCT ajst-20796 2 51 based base VERB ajst-20796 2 52 on on ADP ajst-20796 2 53 problem problem NOUN ajst-20796 2 54 b b PROPN ajst-20796 2 55 of of ADP ajst-20796 2 56 the the DET ajst-20796 2 57 national national PROPN ajst-20796 2 58 mathematical mathematical ADJ ajst-20796 2 59 contest contest NOUN ajst-20796 2 60 in in ADP ajst-20796 2 61 modeling modeling NOUN ajst-20796 2 62 for for ADP ajst-20796 2 63 college college NOUN ajst-20796 2 64 students student NOUN ajst-20796 2 65 in in ADP ajst-20796 2 66 2023 2023 NUM ajst-20796 2 67 , , PUNCT ajst-20796 2 68 this this DET ajst-20796 2 69 paper paper NOUN ajst-20796 2 70 establishes establish VERB ajst-20796 2 71 a a DET ajst-20796 2 72 model model NOUN ajst-20796 2 73 through through ADP ajst-20796 2 74 geometric geometric ADJ ajst-20796 2 75 deductive deductive ADJ ajst-20796 2 76 deduction deduction NOUN ajst-20796 2 77 , , PUNCT ajst-20796 2 78 and and CCONJ ajst-20796 2 79 establishes establish VERB ajst-20796 2 80 and and CCONJ ajst-20796 2 81 solves solve VERB ajst-20796 2 82 an an DET ajst-20796 2 83 optimal optimal ADJ ajst-20796 2 84 model model NOUN ajst-20796 2 85 of of ADP ajst-20796 2 86 survey survey NOUN ajst-20796 2 87 line line NOUN ajst-20796 2 88 layout layout NOUN ajst-20796 2 89 through through ADP ajst-20796 2 90 constrained constrain VERB ajst-20796 2 91 heuristic heuristic ADJ ajst-20796 2 92 algorithm algorithm NOUN ajst-20796 2 93 . . PUNCT ajst-20796 3 1 in in ADP ajst-20796 3 2 problem problem NOUN ajst-20796 3 3 1 1 NUM ajst-20796 3 4 , , PUNCT ajst-20796 3 5 a a DET ajst-20796 3 6 mathematical mathematical ADJ ajst-20796 3 7 model model NOUN ajst-20796 3 8 of of ADP ajst-20796 3 9 coverage coverage NOUN ajst-20796 3 10 width width NOUN ajst-20796 3 11 and and CCONJ ajst-20796 3 12 overlap overlap NOUN ajst-20796 3 13 rate rate NOUN ajst-20796 3 14 is be AUX ajst-20796 3 15 established establish VERB ajst-20796 3 16 based base VERB ajst-20796 3 17 on on ADP ajst-20796 3 18 triangle triangle NOUN ajst-20796 3 19 relation relation NOUN ajst-20796 3 20 and and CCONJ ajst-20796 3 21 triangle triangle NOUN ajst-20796 3 22 sine sine NOUN ajst-20796 3 23 theorem theorem VERB ajst-20796 3 24 by by ADP ajst-20796 3 25 finding find VERB ajst-20796 3 26 the the DET ajst-20796 3 27 mathematical mathematical ADJ ajst-20796 3 28 relationship relationship NOUN ajst-20796 3 29 between between ADP ajst-20796 3 30 target target NOUN ajst-20796 3 31 quantity quantity NOUN ajst-20796 3 32 and and CCONJ ajst-20796 3 33 known know VERB ajst-20796 3 34 quantity quantity NOUN ajst-20796 3 35 . . PUNCT ajst-20796 4 1 in in ADP ajst-20796 4 2 problem problem NOUN ajst-20796 4 3 2 2 NUM ajst-20796 4 4 , , PUNCT ajst-20796 4 5 the the DET ajst-20796 4 6 angle angle NOUN ajst-20796 4 7 between between ADP ajst-20796 4 8 the the DET ajst-20796 4 9 known know VERB ajst-20796 4 10 direction direction NOUN ajst-20796 4 11 of of ADP ajst-20796 4 12 the the DET ajst-20796 4 13 survey survey NOUN ajst-20796 4 14 line line NOUN ajst-20796 4 15 and and CCONJ ajst-20796 4 16 the the DET ajst-20796 4 17 projection projection NOUN ajst-20796 4 18 of of ADP ajst-20796 4 19 the the DET ajst-20796 4 20 normal normal ADJ ajst-20796 4 21 direction direction NOUN ajst-20796 4 22 of of ADP ajst-20796 4 23 the the DET ajst-20796 4 24 submarine submarine NOUN ajst-20796 4 25 slope slope NOUN ajst-20796 4 26 on on ADP ajst-20796 4 27 the the DET ajst-20796 4 28 horizontal horizontal ADJ ajst-20796 4 29 plane plane NOUN ajst-20796 4 30 is be AUX ajst-20796 4 31 𝛽. 𝛽. NOUN ajst-20796 4 32 we we PRON ajst-20796 4 33 can can AUX ajst-20796 4 34 imagine imagine VERB ajst-20796 4 35 a a DET ajst-20796 4 36 surface surface NOUN ajst-20796 4 37 perpendicular perpendicular NOUN ajst-20796 4 38 to to ADP ajst-20796 4 39 the the DET ajst-20796 4 40 direction direction NOUN ajst-20796 4 41 of of ADP ajst-20796 4 42 the the DET ajst-20796 4 43 measurement measurement NOUN ajst-20796 4 44 line line NOUN ajst-20796 4 45 , , PUNCT ajst-20796 4 46 and and CCONJ ajst-20796 4 47 then then ADV ajst-20796 4 48 find find VERB ajst-20796 4 49 the the DET ajst-20796 4 50 slope slope NOUN ajst-20796 4 51 of of ADP ajst-20796 4 52 the the DET ajst-20796 4 53 imaginary imaginary ADJ ajst-20796 4 54 surface surface NOUN ajst-20796 4 55 according accord VERB ajst-20796 4 56 to to ADP ajst-20796 4 57 the the DET ajst-20796 4 58 geometric geometric ADJ ajst-20796 4 59 relationship relationship NOUN ajst-20796 4 60 , , PUNCT ajst-20796 4 61 and and CCONJ ajst-20796 4 62 replace replace VERB ajst-20796 4 63 the the DET ajst-20796 4 64 slope slope NOUN ajst-20796 4 65 angle angle NOUN ajst-20796 4 66 of of ADP ajst-20796 4 67 problem problem NOUN ajst-20796 4 68 1 1 NUM ajst-20796 4 69 with with ADP ajst-20796 4 70 the the DET ajst-20796 4 71 imaginary imaginary ADJ ajst-20796 4 72 slope slope NOUN ajst-20796 4 73 angle angle NOUN ajst-20796 4 74 to to PART ajst-20796 4 75 obtain obtain VERB ajst-20796 4 76 the the DET ajst-20796 4 77 mathematical mathematical ADJ ajst-20796 4 78 model model NOUN ajst-20796 4 79 of of ADP ajst-20796 4 80 the the DET ajst-20796 4 81 coverage coverage NOUN ajst-20796 4 82 width width NOUN ajst-20796 4 83 . . PUNCT ajst-20796 5 1 based base VERB ajst-20796 5 2 on on ADP ajst-20796 5 3 this this PRON ajst-20796 5 4 , , PUNCT ajst-20796 5 5 the the DET ajst-20796 5 6 constraints constraint NOUN ajst-20796 5 7 of of ADP ajst-20796 5 8 the the DET ajst-20796 5 9 angle angle NOUN ajst-20796 5 10 and and CCONJ ajst-20796 5 11 overlap overlap NOUN ajst-20796 5 12 rate rate NOUN ajst-20796 5 13 of of ADP ajst-20796 5 14 the the DET ajst-20796 5 15 line line NOUN ajst-20796 5 16 are be AUX ajst-20796 5 17 added add VERB ajst-20796 5 18 , , PUNCT ajst-20796 5 19 and and CCONJ ajst-20796 5 20 the the DET ajst-20796 5 21 problem problem NOUN ajst-20796 5 22 3 3 NUM ajst-20796 5 23 is be AUX ajst-20796 5 24 simplified simplify VERB ajst-20796 5 25 into into ADP ajst-20796 5 26 the the DET ajst-20796 5 27 optimization optimization NOUN ajst-20796 5 28 problem problem NOUN ajst-20796 5 29 of of ADP ajst-20796 5 30 multiple multiple ADJ ajst-20796 5 31 routes route NOUN ajst-20796 5 32 in in ADP ajst-20796 5 33 problem problem NOUN ajst-20796 5 34 2 2 NUM ajst-20796 5 35 . . PUNCT ajst-20796 6 1 finally finally ADV ajst-20796 6 2 , , PUNCT ajst-20796 6 3 by by ADP ajst-20796 6 4 changing change VERB ajst-20796 6 5 the the DET ajst-20796 6 6 parameter parameter NOUN ajst-20796 6 7 setting setting NOUN ajst-20796 6 8 of of ADP ajst-20796 6 9 slope slope NOUN ajst-20796 6 10 angle angle NOUN ajst-20796 6 11 in in ADP ajst-20796 6 12 the the DET ajst-20796 6 13 model model NOUN ajst-20796 6 14 , , PUNCT ajst-20796 6 15 the the DET ajst-20796 6 16 sensitivity sensitivity NOUN ajst-20796 6 17 analysis analysis NOUN ajst-20796 6 18 is be AUX ajst-20796 6 19 carried carry VERB ajst-20796 6 20 out out ADP ajst-20796 6 21 , , PUNCT ajst-20796 6 22 and and CCONJ ajst-20796 6 23 it it PRON ajst-20796 6 24 is be AUX ajst-20796 6 25 found find VERB ajst-20796 6 26 that that SCONJ ajst-20796 6 27 the the DET ajst-20796 6 28 model model NOUN ajst-20796 6 29 is be AUX ajst-20796 6 30 stable stable ADJ ajst-20796 6 31 and and CCONJ ajst-20796 6 32 reliable.to reliable.to PRON ajst-20796 6 33 sum sum VERB ajst-20796 6 34 up up ADP ajst-20796 6 35 , , PUNCT ajst-20796 6 36 the the DET ajst-20796 6 37 problems problem NOUN ajst-20796 6 38 from from ADP ajst-20796 6 39 one one NUM ajst-20796 6 40 to to PART ajst-20796 6 41 four four NUM ajst-20796 6 42 are be AUX ajst-20796 6 43 gradually gradually ADV ajst-20796 6 44 deepened deepen VERB ajst-20796 6 45 and and CCONJ ajst-20796 6 46 progressively progressively ADV ajst-20796 6 47 advanced advanced ADJ ajst-20796 6 48 , , PUNCT ajst-20796 6 49 and and CCONJ ajst-20796 6 50 the the DET ajst-20796 6 51 development development NOUN ajst-20796 6 52 of of ADP ajst-20796 6 53 marine marine ADJ ajst-20796 6 54 survey survey NOUN ajst-20796 6 55 field field NOUN ajst-20796 6 56 is be AUX ajst-20796 6 57 facilitated facilitate VERB ajst-20796 6 58 by by ADP ajst-20796 6 59 establishing establish VERB ajst-20796 6 60 a a DET ajst-20796 6 61 model model NOUN ajst-20796 6 62 of of ADP ajst-20796 6 63 depth depth NOUN ajst-20796 6 64 survey survey NOUN ajst-20796 6 65 line line NOUN ajst-20796 6 66 layout layout NOUN ajst-20796 6 67 . . PUNCT ajst-20796 7 1 keywords keyword NOUN ajst-20796 7 2 : : PUNCT ajst-20796 7 3 geometric geometric ADJ ajst-20796 7 4 relation relation NOUN ajst-20796 7 5 , , PUNCT ajst-20796 7 6 heuristic heuristic ADJ ajst-20796 7 7 algorithm algorithm NOUN ajst-20796 7 8 multi multi ADJ ajst-20796 7 9 - - ADJ ajst-20796 7 10 objective objective ADJ ajst-20796 7 11 programming programming NOUN ajst-20796 7 12 , , PUNCT ajst-20796 7 13 overlay overlay NOUN ajst-20796 7 14 width width NOUN ajst-20796 7 15 , , PUNCT ajst-20796 7 16 overlap overlap NOUN ajst-20796 7 17 rate rate NOUN ajst-20796 7 18 , , PUNCT ajst-20796 7 19 surface surface NOUN ajst-20796 7 20 integral integral ADJ ajst-20796 7 21 . . PUNCT ajst-20796 8 1 1 1 X ajst-20796 8 2 . . X ajst-20796 8 3 introduction introduction NOUN ajst-20796 8 4 with with ADP ajst-20796 8 5 the the DET ajst-20796 8 6 urgent urgent ADJ ajst-20796 8 7 need need NOUN ajst-20796 8 8 for for ADP ajst-20796 8 9 high high ADJ ajst-20796 8 10 - - PUNCT ajst-20796 8 11 precision precision NOUN ajst-20796 8 12 seabed seabe VERB ajst-20796 8 13 topographic topographic PROPN ajst-20796 8 14 survey survey NOUN ajst-20796 8 15 , , PUNCT ajst-20796 8 16 ocean ocean NOUN ajst-20796 8 17 exploration exploration NOUN ajst-20796 8 18 has have AUX ajst-20796 8 19 developed develop VERB ajst-20796 8 20 from from ADP ajst-20796 8 21 discrete discrete ADJ ajst-20796 8 22 , , PUNCT ajst-20796 8 23 lowprecision lowprecision NOUN ajst-20796 8 24 and and CCONJ ajst-20796 8 25 low low ADJ ajst-20796 8 26 - - PUNCT ajst-20796 8 27 efficiency efficiency NOUN ajst-20796 8 28 to to ADP ajst-20796 8 29 full full ADJ ajst-20796 8 30 coverage coverage NOUN ajst-20796 8 31 , , PUNCT ajst-20796 8 32 high high ADJ ajst-20796 8 33 - - PUNCT ajst-20796 8 34 precision precision NOUN ajst-20796 8 35 and and CCONJ ajst-20796 8 36 high high ADJ ajst-20796 8 37 - - PUNCT ajst-20796 8 38 efficiency efficiency NOUN ajst-20796 8 39 [ [ X ajst-20796 8 40 1][2 1][2 NUM ajst-20796 8 41 ] ] PUNCT ajst-20796 8 42 . . PUNCT ajst-20796 9 1 the the DET ajst-20796 9 2 traditional traditional ADJ ajst-20796 9 3 single single ADJ ajst-20796 9 4 beam beam NOUN ajst-20796 9 5 sounding sound VERB ajst-20796 9 6 can can AUX ajst-20796 9 7 not not PART ajst-20796 9 8 meet meet VERB ajst-20796 9 9 the the DET ajst-20796 9 10 requirement requirement NOUN ajst-20796 9 11 of of ADP ajst-20796 9 12 high high ADJ ajst-20796 9 13 efficiency efficiency NOUN ajst-20796 9 14 seabed seabed NOUN ajst-20796 9 15 exploration exploration NOUN ajst-20796 9 16 . . PUNCT ajst-20796 10 1 on on ADP ajst-20796 10 2 this this DET ajst-20796 10 3 basis basis NOUN ajst-20796 10 4 , , PUNCT ajst-20796 10 5 the the DET ajst-20796 10 6 multi multi ADJ ajst-20796 10 7 - - ADJ ajst-20796 10 8 beam beam ADJ ajst-20796 10 9 sounding sound VERB ajst-20796 10 10 system system NOUN ajst-20796 10 11 has have AUX ajst-20796 10 12 been be AUX ajst-20796 10 13 proposed propose VERB ajst-20796 10 14 and and CCONJ ajst-20796 10 15 developed develop VERB ajst-20796 10 16 continuously continuously ADV ajst-20796 10 17 , , PUNCT ajst-20796 10 18 and and CCONJ ajst-20796 10 19 has have AUX ajst-20796 10 20 been be AUX ajst-20796 10 21 widely widely ADV ajst-20796 10 22 used use VERB ajst-20796 10 23 as as ADP ajst-20796 10 24 a a DET ajst-20796 10 25 new new ADJ ajst-20796 10 26 technology technology NOUN ajst-20796 10 27 of of ADP ajst-20796 10 28 ocean ocean NOUN ajst-20796 10 29 exploration exploration NOUN ajst-20796 10 30 . . PUNCT ajst-20796 11 1 the the DET ajst-20796 11 2 layout layout NOUN ajst-20796 11 3 of of ADP ajst-20796 11 4 line line NOUN ajst-20796 11 5 is be AUX ajst-20796 11 6 a a DET ajst-20796 11 7 very very ADV ajst-20796 11 8 important important ADJ ajst-20796 11 9 link link NOUN ajst-20796 11 10 in in ADP ajst-20796 11 11 the the DET ajst-20796 11 12 technical technical ADJ ajst-20796 11 13 design design NOUN ajst-20796 11 14 of of ADP ajst-20796 11 15 sea sea NOUN ajst-20796 11 16 area area NOUN ajst-20796 11 17 , , PUNCT ajst-20796 11 18 but but CCONJ ajst-20796 11 19 at at ADP ajst-20796 11 20 present present NOUN ajst-20796 11 21 , , PUNCT ajst-20796 11 22 the the DET ajst-20796 11 23 actual actual ADJ ajst-20796 11 24 wiring wiring NOUN ajst-20796 11 25 design design NOUN ajst-20796 11 26 methods method NOUN ajst-20796 11 27 in in ADP ajst-20796 11 28 china china PROPN ajst-20796 11 29 mostly mostly ADV ajst-20796 11 30 rely rely VERB ajst-20796 11 31 on on ADP ajst-20796 11 32 experience experience NOUN ajst-20796 11 33 . . PUNCT ajst-20796 12 1 based base VERB ajst-20796 12 2 on on ADP ajst-20796 12 3 the the DET ajst-20796 12 4 current current ADJ ajst-20796 12 5 situation situation NOUN ajst-20796 12 6 , , PUNCT ajst-20796 12 7 the the DET ajst-20796 12 8 research research NOUN ajst-20796 12 9 of of ADP ajst-20796 12 10 multi multi ADJ ajst-20796 12 11 - - ADJ ajst-20796 12 12 beam beam ADJ ajst-20796 12 13 line line NOUN ajst-20796 12 14 measurement measurement NOUN ajst-20796 12 15 is be AUX ajst-20796 12 16 particularly particularly ADV ajst-20796 12 17 important important ADJ ajst-20796 12 18 . . PUNCT ajst-20796 13 1 there there PRON ajst-20796 13 2 are be VERB ajst-20796 13 3 two two NUM ajst-20796 13 4 key key ADJ ajst-20796 13 5 problems problem NOUN ajst-20796 13 6 in in ADP ajst-20796 13 7 the the DET ajst-20796 13 8 layout layout NOUN ajst-20796 13 9 of of ADP ajst-20796 13 10 multi multi ADJ ajst-20796 13 11 - - ADJ ajst-20796 13 12 beam beam ADJ ajst-20796 13 13 line line NOUN ajst-20796 13 14 . . PUNCT ajst-20796 14 1 the the DET ajst-20796 14 2 first first ADJ ajst-20796 14 3 is be AUX ajst-20796 14 4 the the DET ajst-20796 14 5 survey survey NOUN ajst-20796 14 6 line line NOUN ajst-20796 14 7 interval interval NOUN ajst-20796 14 8 . . PUNCT ajst-20796 15 1 shallow shallow ADJ ajst-20796 15 2 water water NOUN ajst-20796 15 3 depth depth NOUN ajst-20796 15 4 is be AUX ajst-20796 15 5 used use VERB ajst-20796 15 6 to to PART ajst-20796 15 7 design design VERB ajst-20796 15 8 the the DET ajst-20796 15 9 survey survey NOUN ajst-20796 15 10 line line NOUN ajst-20796 15 11 interval interval NOUN ajst-20796 15 12 , , PUNCT ajst-20796 15 13 and and CCONJ ajst-20796 15 14 the the DET ajst-20796 15 15 problem problem NOUN ajst-20796 15 16 of of ADP ajst-20796 15 17 missing miss VERB ajst-20796 15 18 measurement measurement NOUN ajst-20796 15 19 may may AUX ajst-20796 15 20 occur occur VERB ajst-20796 15 21 in in ADP ajst-20796 15 22 the the DET ajst-20796 15 23 shallow shallow ADJ ajst-20796 15 24 place[3 place[3 NOUN ajst-20796 15 25 ] ] PUNCT ajst-20796 15 26 . . PUNCT ajst-20796 16 1 using use VERB ajst-20796 16 2 deep deep ADJ ajst-20796 16 3 water water NOUN ajst-20796 16 4 depth depth NOUN ajst-20796 16 5 design design NOUN ajst-20796 16 6 line line NOUN ajst-20796 16 7 interval interval NOUN ajst-20796 16 8 , , PUNCT ajst-20796 16 9 there there PRON ajst-20796 16 10 will will AUX ajst-20796 16 11 be be AUX ajst-20796 16 12 more more ADV ajst-20796 16 13 overlapping overlap VERB ajst-20796 16 14 areas area NOUN ajst-20796 16 15 , , PUNCT ajst-20796 16 16 and and CCONJ ajst-20796 16 17 the the DET ajst-20796 16 18 data data NOUN ajst-20796 16 19 redundancy redundancy NOUN ajst-20796 16 20 is be AUX ajst-20796 16 21 large large ADJ ajst-20796 16 22 , , PUNCT ajst-20796 16 23 which which PRON ajst-20796 16 24 affects affect VERB ajst-20796 16 25 the the DET ajst-20796 16 26 efficiency efficiency NOUN ajst-20796 16 27 of of ADP ajst-20796 16 28 the the DET ajst-20796 16 29 line line NOUN ajst-20796 16 30 . . PUNCT ajst-20796 17 1 the the DET ajst-20796 17 2 other other ADJ ajst-20796 17 3 is be AUX ajst-20796 17 4 the the DET ajst-20796 17 5 selection selection NOUN ajst-20796 17 6 of of ADP ajst-20796 17 7 the the DET ajst-20796 17 8 direction direction NOUN ajst-20796 17 9 of of ADP ajst-20796 17 10 the the DET ajst-20796 17 11 measurement measurement NOUN ajst-20796 17 12 line line NOUN ajst-20796 17 13 . . PUNCT ajst-20796 18 1 different different ADJ ajst-20796 18 2 directions direction NOUN ajst-20796 18 3 of of ADP ajst-20796 18 4 the the DET ajst-20796 18 5 measurement measurement NOUN ajst-20796 18 6 line line NOUN ajst-20796 18 7 will will AUX ajst-20796 18 8 affect affect VERB ajst-20796 18 9 the the DET ajst-20796 18 10 difficulty difficulty NOUN ajst-20796 18 11 of of ADP ajst-20796 18 12 the the DET ajst-20796 18 13 measurement measurement NOUN ajst-20796 18 14 line line NOUN ajst-20796 19 1 [ [ X ajst-20796 19 2 4 4 NUM ajst-20796 19 3 ] ] PUNCT ajst-20796 19 4 . . PUNCT ajst-20796 20 1 2 2 X ajst-20796 20 2 . . X ajst-20796 20 3 problem problem NOUN ajst-20796 20 4 restatement restatement VERB ajst-20796 20 5 2.1 2.1 NUM ajst-20796 20 6 . . PUNCT ajst-20796 20 7 solution solution NOUN ajst-20796 20 8 to to ADP ajst-20796 20 9 problem problem NOUN ajst-20796 20 10 1 1 NUM ajst-20796 20 11 considering consider VERB ajst-20796 20 12 the the DET ajst-20796 20 13 existence existence NOUN ajst-20796 20 14 of of ADP ajst-20796 20 15 a a DET ajst-20796 20 16 certain certain ADJ ajst-20796 20 17 slope slope NOUN ajst-20796 20 18 on on ADP ajst-20796 20 19 the the DET ajst-20796 20 20 sea sea NOUN ajst-20796 20 21 floor floor NOUN ajst-20796 20 22 , , PUNCT ajst-20796 20 23 the the DET ajst-20796 20 24 slope slope NOUN ajst-20796 20 25 𝛼 𝛼 NOUN ajst-20796 20 26 is be AUX ajst-20796 20 27 defined define VERB ajst-20796 20 28 when when SCONJ ajst-20796 20 29 the the DET ajst-20796 20 30 plane plane NOUN ajst-20796 20 31 perpendicular perpendicular NOUN ajst-20796 20 32 to to ADP ajst-20796 20 33 the the DET ajst-20796 20 34 direction direction NOUN ajst-20796 20 35 of of ADP ajst-20796 20 36 the the DET ajst-20796 20 37 survey survey NOUN ajst-20796 20 38 line line NOUN ajst-20796 20 39 forms form VERB ajst-20796 20 40 a a DET ajst-20796 20 41 diagonal diagonal ADJ ajst-20796 20 42 line line NOUN ajst-20796 20 43 with with ADP ajst-20796 20 44 an an DET ajst-20796 20 45 angle angle NOUN ajst-20796 20 46 of of ADP ajst-20796 20 47 𝛼 𝛼 PRON ajst-20796 20 48 from from ADP ajst-20796 20 49 the the DET ajst-20796 20 50 horizontal horizontal ADJ ajst-20796 20 51 plane plane NOUN ajst-20796 20 52 . . PUNCT ajst-20796 21 1 to to PART ajst-20796 21 2 find find VERB ajst-20796 21 3 the the DET ajst-20796 21 4 expression expression NOUN ajst-20796 21 5 of of ADP ajst-20796 21 6 the the DET ajst-20796 21 7 coverage coverage NOUN ajst-20796 21 8 width width NOUN ajst-20796 21 9 π‘Š π‘Š PROPN ajst-20796 21 10 and and CCONJ ajst-20796 21 11 the the DET ajst-20796 21 12 overlap overlap NOUN ajst-20796 21 13 rate rate NOUN ajst-20796 21 14 πœ‚ πœ‚ NOUN ajst-20796 21 15 between between ADP ajst-20796 21 16 adjacent adjacent ADJ ajst-20796 21 17 strips strip NOUN ajst-20796 21 18 of of ADP ajst-20796 21 19 multi multi ADJ ajst-20796 21 20 - - ADJ ajst-20796 21 21 beam beam ADJ ajst-20796 21 22 sounding sounding NOUN ajst-20796 21 23 . . PUNCT ajst-20796 22 1 according accord VERB ajst-20796 22 2 to to ADP ajst-20796 22 3 the the DET ajst-20796 22 4 mathematical mathematical ADJ ajst-20796 22 5 expression expression NOUN ajst-20796 22 6 , , PUNCT ajst-20796 22 7 the the DET ajst-20796 22 8 coverage coverage NOUN ajst-20796 22 9 width width NOUN ajst-20796 22 10 and and CCONJ ajst-20796 22 11 overlap overlap NOUN ajst-20796 22 12 rate rate NOUN ajst-20796 22 13 under under ADP ajst-20796 22 14 the the DET ajst-20796 22 15 given give VERB ajst-20796 22 16 parameters parameter NOUN ajst-20796 22 17 are be AUX ajst-20796 22 18 solved solve VERB ajst-20796 22 19 by by ADP ajst-20796 22 20 substitution substitution NOUN ajst-20796 22 21 [ [ X ajst-20796 22 22 5 5 NUM ajst-20796 22 23 ] ] PUNCT ajst-20796 22 24 . . PUNCT ajst-20796 23 1 2.2 2.2 NUM ajst-20796 23 2 . . PUNCT ajst-20796 23 3 solution solution NOUN ajst-20796 23 4 to to ADP ajst-20796 23 5 problem problem NOUN ajst-20796 23 6 2 2 NUM ajst-20796 23 7 in in ADP ajst-20796 23 8 a a DET ajst-20796 23 9 rectangular rectangular ADJ ajst-20796 23 10 sea sea NOUN ajst-20796 23 11 area area NOUN ajst-20796 23 12 , , PUNCT ajst-20796 23 13 when when SCONJ ajst-20796 23 14 the the DET ajst-20796 23 15 angle angle NOUN ajst-20796 23 16 between between ADP ajst-20796 23 17 the the DET ajst-20796 23 18 direction direction NOUN ajst-20796 23 19 of of ADP ajst-20796 23 20 the the DET ajst-20796 23 21 survey survey NOUN ajst-20796 23 22 line line NOUN ajst-20796 23 23 and and CCONJ ajst-20796 23 24 the the DET ajst-20796 23 25 projection projection NOUN ajst-20796 23 26 of of ADP ajst-20796 23 27 the the DET ajst-20796 23 28 normal normal ADJ ajst-20796 23 29 direction direction NOUN ajst-20796 23 30 of of ADP ajst-20796 23 31 the the DET ajst-20796 23 32 submarine submarine NOUN ajst-20796 23 33 slope slope NOUN ajst-20796 23 34 on on ADP ajst-20796 23 35 the the DET ajst-20796 23 36 horizontal horizontal ADJ ajst-20796 23 37 plane plane NOUN ajst-20796 23 38 is be AUX ajst-20796 23 39 arbitrarily arbitrarily ADV ajst-20796 23 40 determined determine VERB ajst-20796 23 41 ( ( PUNCT ajst-20796 23 42 recorded record VERB ajst-20796 23 43 as as ADP ajst-20796 23 44 𝛽 𝛽 PROPN ajst-20796 23 45 ) ) PUNCT ajst-20796 23 46 , , PUNCT ajst-20796 23 47 the the DET ajst-20796 23 48 mathematical mathematical ADJ ajst-20796 23 49 expression expression NOUN ajst-20796 23 50 of of ADP ajst-20796 23 51 the the DET ajst-20796 23 52 coverage coverage NOUN ajst-20796 23 53 width width NOUN ajst-20796 23 54 is be AUX ajst-20796 23 55 required require VERB ajst-20796 23 56 , , PUNCT ajst-20796 23 57 and and CCONJ ajst-20796 23 58 the the DET ajst-20796 23 59 value value NOUN ajst-20796 23 60 of of ADP ajst-20796 23 61 the the DET ajst-20796 23 62 coverage coverage NOUN ajst-20796 23 63 width width NOUN ajst-20796 23 64 is be AUX ajst-20796 23 65 obtained obtain VERB ajst-20796 23 66 with with ADP ajst-20796 23 67 several several ADJ ajst-20796 23 68 groups group NOUN ajst-20796 23 69 of of ADP ajst-20796 23 70 given give VERB ajst-20796 23 71 parameters parameter NOUN ajst-20796 23 72 . . PUNCT ajst-20796 24 1 2.3 2.3 NUM ajst-20796 24 2 . . PUNCT ajst-20796 24 3 solution solution NOUN ajst-20796 24 4 to to PART ajst-20796 24 5 problem problem NOUN ajst-20796 24 6 3 3 NUM ajst-20796 24 7 in in ADP ajst-20796 24 8 a a DET ajst-20796 24 9 given give VERB ajst-20796 24 10 rectangular rectangular ADJ ajst-20796 24 11 sea sea NOUN ajst-20796 24 12 area area NOUN ajst-20796 24 13 , , PUNCT ajst-20796 24 14 a a DET ajst-20796 24 15 planning planning NOUN ajst-20796 24 16 model model NOUN ajst-20796 24 17 is be AUX ajst-20796 24 18 established establish VERB ajst-20796 24 19 , , PUNCT ajst-20796 24 20 which which PRON ajst-20796 24 21 can can AUX ajst-20796 24 22 cover cover VERB ajst-20796 24 23 the the DET ajst-20796 24 24 entire entire ADJ ajst-20796 24 25 sea sea NOUN ajst-20796 24 26 area area NOUN ajst-20796 24 27 under under ADP ajst-20796 24 28 the the DET ajst-20796 24 29 constraints constraint NOUN ajst-20796 24 30 required require VERB ajst-20796 24 31 in in ADP ajst-20796 24 32 the the DET ajst-20796 24 33 question question NOUN ajst-20796 24 34 , , PUNCT ajst-20796 24 35 and and CCONJ ajst-20796 24 36 the the DET ajst-20796 24 37 overlap overlap NOUN ajst-20796 24 38 rate rate NOUN ajst-20796 24 39 between between ADP ajst-20796 24 40 adjacent adjacent ADJ ajst-20796 24 41 strips strip NOUN ajst-20796 24 42 is be AUX ajst-20796 24 43 between between ADP ajst-20796 24 44 10 10 NUM ajst-20796 24 45 % % NOUN ajst-20796 24 46 and and CCONJ ajst-20796 24 47 20 20 NUM ajst-20796 24 48 % % NOUN ajst-20796 24 49 . . PUNCT ajst-20796 25 1 a a DET ajst-20796 25 2 set set NOUN ajst-20796 25 3 of of ADP ajst-20796 25 4 optimal optimal ADJ ajst-20796 25 5 measuring measure VERB ajst-20796 25 6 lines line NOUN ajst-20796 25 7 is be AUX ajst-20796 25 8 designed design VERB ajst-20796 25 9 to to PART ajst-20796 25 10 make make VERB ajst-20796 25 11 the the DET ajst-20796 25 12 total total ADJ ajst-20796 25 13 measuring measure VERB ajst-20796 25 14 line line NOUN ajst-20796 25 15 length length NOUN ajst-20796 25 16 shortest shortest ADV ajst-20796 25 17 . . PUNCT ajst-20796 26 1 2.4 2.4 NUM ajst-20796 26 2 . . PUNCT ajst-20796 26 3 solution solution NOUN ajst-20796 26 4 to to PART ajst-20796 26 5 problem problem VERB ajst-20796 26 6 4 4 NUM ajst-20796 26 7 on on ADP ajst-20796 26 8 the the DET ajst-20796 26 9 basis basis NOUN ajst-20796 26 10 of of ADP ajst-20796 26 11 some some DET ajst-20796 26 12 existing exist VERB ajst-20796 26 13 reference reference NOUN ajst-20796 26 14 data datum NOUN ajst-20796 26 15 , , PUNCT ajst-20796 26 16 simulate simulate VERB ajst-20796 26 17 the the DET ajst-20796 26 18 bottom bottom NOUN ajst-20796 26 19 of of ADP ajst-20796 26 20 the the DET ajst-20796 26 21 sea sea NOUN ajst-20796 26 22 area area NOUN ajst-20796 26 23 , , PUNCT ajst-20796 26 24 and and CCONJ ajst-20796 26 25 make make VERB ajst-20796 26 26 appropriate appropriate ADJ ajst-20796 26 27 simplified simplified ADJ ajst-20796 26 28 processing processing NOUN ajst-20796 26 29 according accord VERB ajst-20796 26 30 to to ADP ajst-20796 26 31 the the DET ajst-20796 26 32 bottom bottom NOUN ajst-20796 26 33 of of ADP ajst-20796 26 34 the the DET ajst-20796 26 35 sea sea NOUN ajst-20796 26 36 area area NOUN ajst-20796 26 37 . . PUNCT ajst-20796 27 1 under under ADP ajst-20796 27 2 constrained constrained ADJ ajst-20796 27 3 conditions condition NOUN ajst-20796 27 4 , , PUNCT ajst-20796 27 5 cover cover VERB ajst-20796 27 6 the the DET ajst-20796 27 7 sea sea NOUN ajst-20796 27 8 area area NOUN ajst-20796 27 9 to to PART ajst-20796 27 10 be be AUX ajst-20796 27 11 measured measure VERB ajst-20796 27 12 as as ADV ajst-20796 27 13 much much ADV ajst-20796 27 14 as as ADP ajst-20796 27 15 possible possible ADJ ajst-20796 27 16 , , PUNCT ajst-20796 27 17 keep keep VERB ajst-20796 27 18 the the DET ajst-20796 27 19 overlap overlap NOUN ajst-20796 27 20 rate rate NOUN ajst-20796 27 21 of of ADP ajst-20796 27 22 adjacent adjacent ADJ ajst-20796 27 23 strips strip NOUN ajst-20796 27 24 below below ADP ajst-20796 27 25 20 20 NUM ajst-20796 27 26 % % NOUN ajst-20796 27 27 , , PUNCT ajst-20796 27 28 minimize minimize VERB ajst-20796 27 29 the the DET ajst-20796 27 30 total total ADJ ajst-20796 27 31 length length NOUN ajst-20796 27 32 of of ADP ajst-20796 27 33 the the DET ajst-20796 27 34 side side NOUN ajst-20796 27 35 line line NOUN ajst-20796 27 36 as as ADV ajst-20796 27 37 much much ADV ajst-20796 27 38 as as ADP ajst-20796 27 39 possible possible ADJ ajst-20796 27 40 , , PUNCT ajst-20796 27 41 search search NOUN ajst-20796 27 42 for for ADP ajst-20796 27 43 the the DET ajst-20796 27 44 approximate approximate ADJ ajst-20796 27 45 optimal optimal ADJ ajst-20796 27 46 solution solution NOUN ajst-20796 27 47 , , PUNCT ajst-20796 27 48 and and CCONJ ajst-20796 27 49 calculate calculate VERB ajst-20796 27 50 relevant relevant ADJ ajst-20796 27 51 indicators indicator NOUN ajst-20796 27 52 according accord VERB ajst-20796 27 53 to to ADP ajst-20796 27 54 the the DET ajst-20796 27 55 optimal optimal ADJ ajst-20796 27 56 solution solution NOUN ajst-20796 27 57 : : PUNCT ajst-20796 27 58 the the DET ajst-20796 27 59 total total ADJ ajst-20796 27 60 length length NOUN ajst-20796 27 61 of of ADP ajst-20796 27 62 the the DET ajst-20796 27 63 measuring measure VERB ajst-20796 27 64 line line NOUN ajst-20796 27 65 , , PUNCT ajst-20796 27 66 the the DET ajst-20796 27 67 proportion proportion NOUN ajst-20796 27 68 of of ADP ajst-20796 27 69 the the DET ajst-20796 27 70 missing miss VERB ajst-20796 27 71 measuring measuring NOUN ajst-20796 27 72 area area NOUN ajst-20796 27 73 , , PUNCT ajst-20796 27 74 the the DET ajst-20796 27 75 total total ADJ ajst-20796 27 76 length length NOUN ajst-20796 27 77 of of ADP ajst-20796 27 78 the the DET ajst-20796 27 79 overlap overlap NOUN ajst-20796 27 80 of of ADP ajst-20796 27 81 more more ADJ ajst-20796 27 82 than than ADP ajst-20796 27 83 20 20 NUM ajst-20796 27 84 % % NOUN ajst-20796 27 85 . . PUNCT ajst-20796 28 1 3 3 X ajst-20796 28 2 . . X ajst-20796 28 3 problem problem NOUN ajst-20796 28 4 analysis analysis NOUN ajst-20796 28 5 3.1 3.1 NUM ajst-20796 28 6 . . PUNCT ajst-20796 29 1 analysis analysis NOUN ajst-20796 29 2 of of ADP ajst-20796 29 3 problem problem NOUN ajst-20796 29 4 1 1 NUM ajst-20796 29 5 the the DET ajst-20796 29 6 first first ADJ ajst-20796 29 7 problem problem NOUN ajst-20796 29 8 requires require VERB ajst-20796 29 9 a a DET ajst-20796 29 10 mathematical mathematical ADJ ajst-20796 29 11 model model NOUN ajst-20796 29 12 of of ADP ajst-20796 29 13 coverage coverage NOUN ajst-20796 29 14 width width NOUN ajst-20796 29 15 and and CCONJ ajst-20796 29 16 overlap overlap NOUN ajst-20796 29 17 rate rate NOUN ajst-20796 29 18 . . PUNCT ajst-20796 30 1 the the DET ajst-20796 30 2 key key ADJ ajst-20796 30 3 point point NOUN ajst-20796 30 4 of of ADP ajst-20796 30 5 this this DET ajst-20796 30 6 112 112 NUM ajst-20796 30 7 problem problem NOUN ajst-20796 30 8 is be AUX ajst-20796 30 9 to to PART ajst-20796 30 10 find find VERB ajst-20796 30 11 the the DET ajst-20796 30 12 mathematical mathematical ADJ ajst-20796 30 13 relationship relationship NOUN ajst-20796 30 14 between between ADP ajst-20796 30 15 the the DET ajst-20796 30 16 target target NOUN ajst-20796 30 17 quantity quantity NOUN ajst-20796 30 18 and and CCONJ ajst-20796 30 19 the the DET ajst-20796 30 20 known know VERB ajst-20796 30 21 quantity quantity NOUN ajst-20796 30 22 in in ADP ajst-20796 30 23 plane plane NOUN ajst-20796 30 24 geometry geometry NOUN ajst-20796 30 25 problems problem NOUN ajst-20796 30 26 . . PUNCT ajst-20796 31 1 in in ADP ajst-20796 31 2 this this DET ajst-20796 31 3 regard regard NOUN ajst-20796 31 4 , , PUNCT ajst-20796 31 5 according accord VERB ajst-20796 31 6 to to ADP ajst-20796 31 7 the the DET ajst-20796 31 8 triangle triangle NOUN ajst-20796 31 9 relation relation NOUN ajst-20796 31 10 and and CCONJ ajst-20796 31 11 the the DET ajst-20796 31 12 sine sine ADJ ajst-20796 31 13 theorem theorem NOUN ajst-20796 31 14 of of ADP ajst-20796 31 15 triangle triangle NOUN ajst-20796 31 16 , , PUNCT ajst-20796 31 17 the the DET ajst-20796 31 18 mathematical mathematical ADJ ajst-20796 31 19 expressions expression NOUN ajst-20796 31 20 for for ADP ajst-20796 31 21 covering cover VERB ajst-20796 31 22 width width ADJ ajst-20796 31 23 π‘Š π‘Š PROPN ajst-20796 31 24 , , PUNCT ajst-20796 31 25 overlap overlap NOUN ajst-20796 31 26 rate rate NOUN ajst-20796 31 27 πœ‚ πœ‚ NOUN ajst-20796 31 28 , , PUNCT ajst-20796 31 29 slope slope NOUN ajst-20796 31 30 𝛼 𝛼 NOUN ajst-20796 31 31 , , PUNCT ajst-20796 31 32 opening opening NOUN ajst-20796 31 33 angle angle NOUN ajst-20796 31 34 of of ADP ajst-20796 31 35 multi multi ADJ ajst-20796 31 36 - - ADJ ajst-20796 31 37 beam beam ADJ ajst-20796 31 38 converter converter NOUN ajst-20796 31 39 πœƒ πœƒ NOUN ajst-20796 31 40 and and CCONJ ajst-20796 31 41 seawater seawater NOUN ajst-20796 31 42 depth depth NOUN ajst-20796 31 43 𝐷 𝐷 NOUN ajst-20796 31 44 at at ADP ajst-20796 31 45 the the DET ajst-20796 31 46 center center NOUN ajst-20796 31 47 of of ADP ajst-20796 31 48 sea sea NOUN ajst-20796 31 49 area area NOUN ajst-20796 31 50 are be AUX ajst-20796 31 51 established establish VERB ajst-20796 31 52 respectively respectively ADV ajst-20796 31 53 [ [ X ajst-20796 31 54 6 6 NUM ajst-20796 31 55 ] ] PUNCT ajst-20796 31 56 . . PUNCT ajst-20796 32 1 3.2 3.2 NUM ajst-20796 32 2 . . PUNCT ajst-20796 33 1 analysis analysis NOUN ajst-20796 33 2 of of ADP ajst-20796 33 3 problem problem NOUN ajst-20796 33 4 2 2 NUM ajst-20796 33 5 problem problem NOUN ajst-20796 33 6 2 2 NUM ajst-20796 33 7 is be AUX ajst-20796 33 8 extended extend VERB ajst-20796 33 9 to to ADP ajst-20796 33 10 some some DET ajst-20796 33 11 extent extent NOUN ajst-20796 33 12 on on ADP ajst-20796 33 13 the the DET ajst-20796 33 14 basis basis NOUN ajst-20796 33 15 of of ADP ajst-20796 33 16 problem problem NOUN ajst-20796 33 17 1 1 X ajst-20796 33 18 . . PUNCT ajst-20796 34 1 in in ADP ajst-20796 34 2 problem problem NOUN ajst-20796 34 3 2 2 NUM ajst-20796 34 4 , , PUNCT ajst-20796 34 5 the the DET ajst-20796 34 6 angle angle NOUN ajst-20796 34 7 between between ADP ajst-20796 34 8 the the DET ajst-20796 34 9 direction direction NOUN ajst-20796 34 10 of of ADP ajst-20796 34 11 the the DET ajst-20796 34 12 survey survey NOUN ajst-20796 34 13 line line NOUN ajst-20796 34 14 and and CCONJ ajst-20796 34 15 the the DET ajst-20796 34 16 projection projection NOUN ajst-20796 34 17 of of ADP ajst-20796 34 18 the the DET ajst-20796 34 19 normal normal ADJ ajst-20796 34 20 direction direction NOUN ajst-20796 34 21 of of ADP ajst-20796 34 22 the the DET ajst-20796 34 23 submarine submarine NOUN ajst-20796 34 24 slope slope NOUN ajst-20796 34 25 on on ADP ajst-20796 34 26 the the DET ajst-20796 34 27 horizontal horizontal ADJ ajst-20796 34 28 plane plane NOUN ajst-20796 34 29 is be AUX ajst-20796 34 30 𝛽 𝛽 NOUN ajst-20796 34 31 .in .in PUNCT ajst-20796 34 32 fact fact NOUN ajst-20796 34 33 , , PUNCT ajst-20796 34 34 problem problem NOUN ajst-20796 34 35 2 2 NUM ajst-20796 34 36 is be AUX ajst-20796 34 37 reduced reduce VERB ajst-20796 34 38 to to ADP ajst-20796 34 39 the the DET ajst-20796 34 40 situation situation NOUN ajst-20796 34 41 of of ADP ajst-20796 34 42 problem problem NOUN ajst-20796 34 43 one one NUM ajst-20796 34 44 when when SCONJ ajst-20796 34 45 𝛽 𝛽 PROPN ajst-20796 34 46 90 90 NUM ajst-20796 34 47 Β° Β° NUM ajst-20796 34 48 or or CCONJ ajst-20796 34 49 𝛽 𝛽 NOUN ajst-20796 34 50 270 270 NUM ajst-20796 34 51 Β° Β° NOUN ajst-20796 34 52 . . PUNCT ajst-20796 35 1 problem problem NOUN ajst-20796 35 2 1 1 NUM ajst-20796 35 3 gives give VERB ajst-20796 35 4 a a DET ajst-20796 35 5 mathematical mathematical ADJ ajst-20796 35 6 model model NOUN ajst-20796 35 7 of of ADP ajst-20796 35 8 coverage coverage NOUN ajst-20796 35 9 width width NOUN ajst-20796 35 10 and and CCONJ ajst-20796 35 11 overlap overlap NOUN ajst-20796 35 12 rate rate NOUN ajst-20796 35 13 on on ADP ajst-20796 35 14 the the DET ajst-20796 35 15 surface surface NOUN ajst-20796 35 16 perpendicular perpendicular NOUN ajst-20796 35 17 to to ADP ajst-20796 35 18 the the DET ajst-20796 35 19 direction direction NOUN ajst-20796 35 20 of of ADP ajst-20796 35 21 the the DET ajst-20796 35 22 measurement measurement NOUN ajst-20796 35 23 line line NOUN ajst-20796 35 24 . . PUNCT ajst-20796 36 1 in in ADP ajst-20796 36 2 problem problem NOUN ajst-20796 36 3 2 2 NUM ajst-20796 36 4 , , PUNCT ajst-20796 36 5 we we PRON ajst-20796 36 6 can can AUX ajst-20796 36 7 imagine imagine VERB ajst-20796 36 8 a a DET ajst-20796 36 9 surface surface NOUN ajst-20796 36 10 perpendicular perpendicular NOUN ajst-20796 36 11 to to ADP ajst-20796 36 12 the the DET ajst-20796 36 13 direction direction NOUN ajst-20796 36 14 of of ADP ajst-20796 36 15 the the DET ajst-20796 36 16 measurement measurement NOUN ajst-20796 36 17 line line NOUN ajst-20796 36 18 , , PUNCT ajst-20796 36 19 and and CCONJ ajst-20796 36 20 then then ADV ajst-20796 36 21 find find VERB ajst-20796 36 22 the the DET ajst-20796 36 23 slope slope NOUN ajst-20796 36 24 of of ADP ajst-20796 36 25 the the DET ajst-20796 36 26 imaginary imaginary ADJ ajst-20796 36 27 surface surface NOUN ajst-20796 36 28 according accord VERB ajst-20796 36 29 to to ADP ajst-20796 36 30 the the DET ajst-20796 36 31 geometric geometric ADJ ajst-20796 36 32 relationship relationship NOUN ajst-20796 36 33 , , PUNCT ajst-20796 36 34 and and CCONJ ajst-20796 36 35 replace replace VERB ajst-20796 36 36 the the DET ajst-20796 36 37 slope slope NOUN ajst-20796 36 38 angle angle NOUN ajst-20796 36 39 of of ADP ajst-20796 36 40 problem problem NOUN ajst-20796 36 41 1 1 NUM ajst-20796 36 42 with with ADP ajst-20796 36 43 the the DET ajst-20796 36 44 imaginary imaginary ADJ ajst-20796 36 45 slope slope NOUN ajst-20796 36 46 angle angle NOUN ajst-20796 36 47 to to PART ajst-20796 36 48 obtain obtain VERB ajst-20796 36 49 the the DET ajst-20796 36 50 mathematical mathematical ADJ ajst-20796 36 51 model model NOUN ajst-20796 36 52 of of ADP ajst-20796 36 53 coverage coverage NOUN ajst-20796 36 54 width width NOUN ajst-20796 36 55 . . PUNCT ajst-20796 37 1 3.3 3.3 NUM ajst-20796 37 2 . . PUNCT ajst-20796 38 1 analysis analysis NOUN ajst-20796 38 2 of of ADP ajst-20796 38 3 problem problem NOUN ajst-20796 38 4 3 3 NUM ajst-20796 38 5 problem problem NOUN ajst-20796 38 6 3 3 NUM ajst-20796 38 7 is be AUX ajst-20796 38 8 a a DET ajst-20796 38 9 problem problem NOUN ajst-20796 38 10 on on ADP ajst-20796 38 11 optimization optimization NOUN ajst-20796 38 12 , , PUNCT ajst-20796 38 13 which which PRON ajst-20796 38 14 needs need VERB ajst-20796 38 15 to to PART ajst-20796 38 16 design design VERB ajst-20796 38 17 a a DET ajst-20796 38 18 set set NOUN ajst-20796 38 19 of of ADP ajst-20796 38 20 routes route NOUN ajst-20796 38 21 with with ADP ajst-20796 38 22 the the DET ajst-20796 38 23 shortest short ADJ ajst-20796 38 24 measurement measurement NOUN ajst-20796 38 25 length length NOUN ajst-20796 38 26 , , PUNCT ajst-20796 38 27 and and CCONJ ajst-20796 38 28 can can AUX ajst-20796 38 29 completely completely ADV ajst-20796 38 30 cover cover VERB ajst-20796 38 31 the the DET ajst-20796 38 32 entire entire ADJ ajst-20796 38 33 sea sea NOUN ajst-20796 38 34 area area NOUN ajst-20796 38 35 and and CCONJ ajst-20796 38 36 meet meet VERB ajst-20796 38 37 the the DET ajst-20796 38 38 requirement requirement NOUN ajst-20796 38 39 of of ADP ajst-20796 38 40 10%~20 10%~20 NUM ajst-20796 38 41 % % NOUN ajst-20796 38 42 overlap overlap NOUN ajst-20796 38 43 rate rate NOUN ajst-20796 38 44 . . PUNCT ajst-20796 39 1 according accord VERB ajst-20796 39 2 to to ADP ajst-20796 39 3 problem problem NOUN ajst-20796 39 4 2 2 NUM ajst-20796 39 5 , , PUNCT ajst-20796 39 6 a a DET ajst-20796 39 7 route route NOUN ajst-20796 39 8 can can AUX ajst-20796 39 9 be be AUX ajst-20796 39 10 determined determine VERB ajst-20796 39 11 by by ADP ajst-20796 39 12 the the DET ajst-20796 39 13 angle angle NOUN ajst-20796 39 14 𝛽 𝛽 NOUN ajst-20796 39 15 projected project VERB ajst-20796 39 16 on on ADP ajst-20796 39 17 the the DET ajst-20796 39 18 horizontal horizontal ADJ ajst-20796 39 19 plane plane NOUN ajst-20796 39 20 between between ADP ajst-20796 39 21 the the DET ajst-20796 39 22 direction direction NOUN ajst-20796 39 23 of of ADP ajst-20796 39 24 the the DET ajst-20796 39 25 survey survey NOUN ajst-20796 39 26 line line NOUN ajst-20796 39 27 and and CCONJ ajst-20796 39 28 the the DET ajst-20796 39 29 normal normal ADJ ajst-20796 39 30 direction direction NOUN ajst-20796 39 31 of of ADP ajst-20796 39 32 the the DET ajst-20796 39 33 submarine submarine NOUN ajst-20796 39 34 slope slope NOUN ajst-20796 39 35 ( ( PUNCT ajst-20796 39 36 hereinafter hereinafter NOUN ajst-20796 39 37 referred refer VERB ajst-20796 39 38 to to ADP ajst-20796 39 39 as as ADP ajst-20796 39 40 the the DET ajst-20796 39 41 direction direction NOUN ajst-20796 39 42 of of ADP ajst-20796 39 43 the the DET ajst-20796 39 44 route route NOUN ajst-20796 39 45 ) ) PUNCT ajst-20796 39 46 and and CCONJ ajst-20796 39 47 the the DET ajst-20796 39 48 interval interval NOUN ajst-20796 39 49 d d PROPN ajst-20796 39 50 of of ADP ajst-20796 39 51 the the DET ajst-20796 39 52 route route NOUN ajst-20796 39 53 . . PUNCT ajst-20796 40 1 therefore therefore ADV ajst-20796 40 2 , , PUNCT ajst-20796 40 3 the the DET ajst-20796 40 4 problem problem NOUN ajst-20796 40 5 is be AUX ajst-20796 40 6 simplified simplify VERB ajst-20796 40 7 to to ADP ajst-20796 40 8 the the DET ajst-20796 40 9 optimization optimization NOUN ajst-20796 40 10 problem problem NOUN ajst-20796 40 11 of of ADP ajst-20796 40 12 solving solve VERB ajst-20796 40 13 the the DET ajst-20796 40 14 two two NUM ajst-20796 40 15 routes route NOUN ajst-20796 40 16 in in ADP ajst-20796 40 17 multiple multiple ADJ ajst-20796 40 18 problems problem NOUN ajst-20796 40 19 . . PUNCT ajst-20796 41 1 ( ( PUNCT ajst-20796 41 2 1 1 X ajst-20796 41 3 ) ) PUNCT ajst-20796 41 4 the the DET ajst-20796 41 5 total total ADJ ajst-20796 41 6 length length NOUN ajst-20796 41 7 of of ADP ajst-20796 41 8 the the DET ajst-20796 41 9 survey survey NOUN ajst-20796 41 10 lines line NOUN ajst-20796 41 11 is be AUX ajst-20796 41 12 required require VERB ajst-20796 41 13 to to PART ajst-20796 41 14 be be AUX ajst-20796 41 15 the the DET ajst-20796 41 16 shortest short ADJ ajst-20796 41 17 . . PUNCT ajst-20796 42 1 when when SCONJ ajst-20796 42 2 the the DET ajst-20796 42 3 course course NOUN ajst-20796 42 4 direction direction NOUN ajst-20796 42 5 is be AUX ajst-20796 42 6 fixed fix VERB ajst-20796 42 7 , , PUNCT ajst-20796 42 8 the the DET ajst-20796 42 9 survey survey NOUN ajst-20796 42 10 line line NOUN ajst-20796 42 11 interval interval NOUN ajst-20796 42 12 𝑑 𝑑 NOUN ajst-20796 42 13 is be AUX ajst-20796 42 14 as as ADV ajst-20796 42 15 large large ADJ ajst-20796 42 16 as as ADP ajst-20796 42 17 possible possible ADJ ajst-20796 42 18 , , PUNCT ajst-20796 42 19 and and CCONJ ajst-20796 42 20 the the DET ajst-20796 42 21 number number NOUN ajst-20796 42 22 of of ADP ajst-20796 42 23 survey survey NOUN ajst-20796 42 24 lines line NOUN ajst-20796 42 25 is be AUX ajst-20796 42 26 as as ADV ajst-20796 42 27 small small ADJ ajst-20796 42 28 as as ADP ajst-20796 42 29 possible possible ADJ ajst-20796 42 30 . . PUNCT ajst-20796 43 1 therefore therefore ADV ajst-20796 43 2 , , PUNCT ajst-20796 43 3 the the DET ajst-20796 43 4 overlap overlap NOUN ajst-20796 43 5 rate rate NOUN ajst-20796 43 6 of of ADP ajst-20796 43 7 survey survey NOUN ajst-20796 43 8 lines line NOUN ajst-20796 43 9 at at ADP ajst-20796 43 10 the the DET ajst-20796 43 11 shallowest shallow ADJ ajst-20796 43 12 part part NOUN ajst-20796 43 13 of of ADP ajst-20796 43 14 the the DET ajst-20796 43 15 sea sea NOUN ajst-20796 43 16 water water NOUN ajst-20796 43 17 is be AUX ajst-20796 43 18 at at ADV ajst-20796 43 19 least least ADV ajst-20796 43 20 10 10 NUM ajst-20796 43 21 % % NOUN ajst-20796 43 22 , , PUNCT ajst-20796 43 23 and and CCONJ ajst-20796 43 24 the the DET ajst-20796 43 25 overlap overlap NOUN ajst-20796 43 26 rate rate NOUN ajst-20796 43 27 at at ADP ajst-20796 43 28 the the DET ajst-20796 43 29 deepest deep ADJ ajst-20796 43 30 part part NOUN ajst-20796 43 31 of of ADP ajst-20796 43 32 the the DET ajst-20796 43 33 sea sea NOUN ajst-20796 43 34 water water NOUN ajst-20796 43 35 is be AUX ajst-20796 43 36 not not PART ajst-20796 43 37 more more ADJ ajst-20796 43 38 than than ADP ajst-20796 43 39 20 20 NUM ajst-20796 43 40 % % NOUN ajst-20796 43 41 ; ; PUNCT ajst-20796 43 42 when when SCONJ ajst-20796 43 43 there there PRON ajst-20796 43 44 is be VERB ajst-20796 43 45 overlap overlap NOUN ajst-20796 43 46 between between ADP ajst-20796 43 47 each each DET ajst-20796 43 48 line line NOUN ajst-20796 43 49 , , PUNCT ajst-20796 43 50 it it PRON ajst-20796 43 51 will will AUX ajst-20796 43 52 definitely definitely ADV ajst-20796 43 53 meet meet VERB ajst-20796 43 54 the the DET ajst-20796 43 55 complete complete ADJ ajst-20796 43 56 coverage coverage NOUN ajst-20796 43 57 of of ADP ajst-20796 43 58 the the DET ajst-20796 43 59 sea sea NOUN ajst-20796 43 60 area area NOUN ajst-20796 43 61 between between ADP ajst-20796 43 62 the the DET ajst-20796 43 63 survey survey NOUN ajst-20796 43 64 lines line NOUN ajst-20796 43 65 , , PUNCT ajst-20796 43 66 we we PRON ajst-20796 43 67 only only ADV ajst-20796 43 68 need need VERB ajst-20796 43 69 to to PART ajst-20796 43 70 consider consider VERB ajst-20796 43 71 the the DET ajst-20796 43 72 interval interval NOUN ajst-20796 43 73 from from ADP ajst-20796 43 74 the the DET ajst-20796 43 75 most most ADV ajst-20796 43 76 marginal marginal ADJ ajst-20796 43 77 survey survey NOUN ajst-20796 43 78 line line NOUN ajst-20796 43 79 to to ADP ajst-20796 43 80 the the DET ajst-20796 43 81 edge edge NOUN ajst-20796 43 82 of of ADP ajst-20796 43 83 the the DET ajst-20796 43 84 sea sea NOUN ajst-20796 43 85 area area NOUN ajst-20796 43 86 𝑑 𝑑 VERB ajst-20796 43 87 when when SCONJ ajst-20796 43 88 the the DET ajst-20796 43 89 first first ADJ ajst-20796 43 90 survey survey NOUN ajst-20796 43 91 line line NOUN ajst-20796 43 92 is be AUX ajst-20796 43 93 determined determine VERB ajst-20796 43 94 , , PUNCT ajst-20796 43 95 the the DET ajst-20796 43 96 second second ADJ ajst-20796 43 97 survey survey NOUN ajst-20796 43 98 line line NOUN ajst-20796 43 99 will will AUX ajst-20796 43 100 be be AUX ajst-20796 43 101 determined determine VERB ajst-20796 43 102 solely solely ADV ajst-20796 43 103 by by ADP ajst-20796 43 104 the the DET ajst-20796 43 105 first first ADJ ajst-20796 43 106 survey survey NOUN ajst-20796 43 107 line line NOUN ajst-20796 43 108 according accord VERB ajst-20796 43 109 to to ADP ajst-20796 43 110 the the DET ajst-20796 43 111 maximum maximum ADJ ajst-20796 43 112 interval interval NOUN ajst-20796 43 113 , , PUNCT ajst-20796 43 114 and and CCONJ ajst-20796 43 115 so so ADV ajst-20796 43 116 on on ADV ajst-20796 43 117 until until SCONJ ajst-20796 43 118 all all DET ajst-20796 43 119 survey survey NOUN ajst-20796 43 120 lines line NOUN ajst-20796 43 121 have have AUX ajst-20796 43 122 scanned scan VERB ajst-20796 43 123 the the DET ajst-20796 43 124 entire entire ADJ ajst-20796 43 125 sea sea NOUN ajst-20796 43 126 area area NOUN ajst-20796 43 127 [ [ X ajst-20796 43 128 7 7 NUM ajst-20796 43 129 ] ] PUNCT ajst-20796 43 130 . . PUNCT ajst-20796 44 1 3.4 3.4 NUM ajst-20796 44 2 . . PUNCT ajst-20796 44 3 analysis analysis NOUN ajst-20796 44 4 of of ADP ajst-20796 44 5 problem problem NOUN ajst-20796 44 6 4 4 NUM ajst-20796 44 7 firstly firstly ADV ajst-20796 44 8 , , PUNCT ajst-20796 44 9 the the DET ajst-20796 44 10 data datum NOUN ajst-20796 44 11 given give VERB ajst-20796 44 12 in in ADP ajst-20796 44 13 the the DET ajst-20796 44 14 question question NOUN ajst-20796 44 15 is be AUX ajst-20796 44 16 visualized visualize VERB ajst-20796 44 17 . . PUNCT ajst-20796 45 1 in in ADP ajst-20796 45 2 matlab matlab PROPN ajst-20796 45 3 , , PUNCT ajst-20796 45 4 a a DET ajst-20796 45 5 three three NUM ajst-20796 45 6 - - PUNCT ajst-20796 45 7 dimensional dimensional ADJ ajst-20796 45 8 map map NOUN ajst-20796 45 9 is be AUX ajst-20796 45 10 made make VERB ajst-20796 45 11 . . PUNCT ajst-20796 46 1 considering consider VERB ajst-20796 46 2 that that SCONJ ajst-20796 46 3 the the DET ajst-20796 46 4 data data NOUN ajst-20796 46 5 is be AUX ajst-20796 46 6 a a DET ajst-20796 46 7 plurality plurality NOUN ajst-20796 46 8 of of ADP ajst-20796 46 9 data datum NOUN ajst-20796 46 10 points point NOUN ajst-20796 46 11 , , PUNCT ajst-20796 46 12 in in ADP ajst-20796 46 13 order order NOUN ajst-20796 46 14 to to PART ajst-20796 46 15 make make VERB ajst-20796 46 16 that that DET ajst-20796 46 17 undersea undersea ADJ ajst-20796 46 18 topography topography NOUN ajst-20796 46 19 more more ADV ajst-20796 46 20 intuitive intuitive ADJ ajst-20796 46 21 and and CCONJ ajst-20796 46 22 smooth smooth ADJ ajst-20796 46 23 , , PUNCT ajst-20796 46 24 fitting fit VERB ajst-20796 46 25 the the DET ajst-20796 46 26 given give VERB ajst-20796 46 27 data datum NOUN ajst-20796 46 28 , , PUNCT ajst-20796 46 29 a a DET ajst-20796 46 30 fitted fit VERB ajst-20796 46 31 surface surface NOUN ajst-20796 46 32 equation equation NOUN ajst-20796 46 33 is be AUX ajst-20796 46 34 obtained obtain VERB ajst-20796 46 35 . . PUNCT ajst-20796 47 1 by by ADP ajst-20796 47 2 looking look VERB ajst-20796 47 3 at at ADP ajst-20796 47 4 the the DET ajst-20796 47 5 contour contour NOUN ajst-20796 47 6 plot plot NOUN ajst-20796 47 7 and and CCONJ ajst-20796 47 8 gradient gradient ADJ ajst-20796 47 9 plot plot NOUN ajst-20796 47 10 of of ADP ajst-20796 47 11 the the DET ajst-20796 47 12 surface surface NOUN ajst-20796 47 13 , , PUNCT ajst-20796 47 14 it it PRON ajst-20796 47 15 is be AUX ajst-20796 47 16 found find VERB ajst-20796 47 17 that that SCONJ ajst-20796 47 18 that that SCONJ ajst-20796 47 19 contour contour NOUN ajst-20796 47 20 line line NOUN ajst-20796 47 21 on on ADP ajst-20796 47 22 both both DET ajst-20796 47 23 sides side NOUN ajst-20796 47 24 along along ADP ajst-20796 47 25 the the DET ajst-20796 47 26 diagonal diagonal ADJ ajst-20796 47 27 line line NOUN ajst-20796 47 28 are be AUX ajst-20796 47 29 nearly nearly ADV ajst-20796 47 30 parallel parallel ADJ ajst-20796 47 31 and and CCONJ ajst-20796 47 32 approximately approximately ADV ajst-20796 47 33 straight straight ADJ ajst-20796 47 34 , , PUNCT ajst-20796 47 35 and and CCONJ ajst-20796 47 36 the the DET ajst-20796 47 37 gradient gradient ADJ ajst-20796 47 38 direction direction NOUN ajst-20796 47 39 is be AUX ajst-20796 47 40 basically basically ADV ajst-20796 47 41 the the DET ajst-20796 47 42 same same ADJ ajst-20796 47 43 . . PUNCT ajst-20796 48 1 considering consider VERB ajst-20796 48 2 that that SCONJ ajst-20796 48 3 the the DET ajst-20796 48 4 sea sea NOUN ajst-20796 48 5 floor floor NOUN ajst-20796 48 6 on on ADP ajst-20796 48 7 either either DET ajst-20796 48 8 side side NOUN ajst-20796 48 9 of of ADP ajst-20796 48 10 the the DET ajst-20796 48 11 diagonal diagonal ADJ ajst-20796 48 12 along along ADP ajst-20796 48 13 the the DET ajst-20796 48 14 rectangular rectangular ADJ ajst-20796 48 15 sea sea NOUN ajst-20796 48 16 area area NOUN ajst-20796 48 17 is be AUX ajst-20796 48 18 approximately approximately ADV ajst-20796 48 19 planar planar ADJ ajst-20796 48 20 , , PUNCT ajst-20796 48 21 the the DET ajst-20796 48 22 original original ADJ ajst-20796 48 23 surface surface NOUN ajst-20796 48 24 is be AUX ajst-20796 48 25 then then ADV ajst-20796 48 26 decomposed decompose VERB ajst-20796 48 27 into into ADP ajst-20796 48 28 two two NUM ajst-20796 48 29 planes plane NOUN ajst-20796 48 30 , , PUNCT ajst-20796 48 31 and and CCONJ ajst-20796 48 32 the the DET ajst-20796 48 33 question question NOUN ajst-20796 48 34 is be AUX ajst-20796 48 35 reduced reduce VERB ajst-20796 48 36 to to PART ajst-20796 48 37 question question VERB ajst-20796 48 38 three three NUM ajst-20796 48 39 . . PUNCT ajst-20796 49 1 according accord VERB ajst-20796 49 2 to to ADP ajst-20796 49 3 the the DET ajst-20796 49 4 title title NOUN ajst-20796 49 5 , , PUNCT ajst-20796 49 6 the the DET ajst-20796 49 7 mathematical mathematical ADJ ajst-20796 49 8 model model NOUN ajst-20796 49 9 of of ADP ajst-20796 49 10 multiobjective multiobjective ADJ ajst-20796 49 11 programming programming NOUN ajst-20796 49 12 is be AUX ajst-20796 49 13 established establish VERB ajst-20796 49 14 and and CCONJ ajst-20796 49 15 solved[8 solved[8 PROPN ajst-20796 49 16 ] ] PUNCT ajst-20796 49 17 . . PUNCT ajst-20796 50 1 4 4 X ajst-20796 50 2 . . PUNCT ajst-20796 50 3 model model NOUN ajst-20796 50 4 assumption assumption NOUN ajst-20796 50 5 1 1 NUM ajst-20796 50 6 . . PUNCT ajst-20796 51 1 according accord VERB ajst-20796 51 2 to to ADP ajst-20796 51 3 the the DET ajst-20796 51 4 relevant relevant ADJ ajst-20796 51 5 literature literature NOUN ajst-20796 51 6 in in ADP ajst-20796 51 7 the the DET ajst-20796 51 8 field field NOUN ajst-20796 51 9 of of ADP ajst-20796 51 10 marine marine ADJ ajst-20796 51 11 survey survey NOUN ajst-20796 51 12 , , PUNCT ajst-20796 51 13 it it PRON ajst-20796 51 14 is be AUX ajst-20796 51 15 generally generally ADV ajst-20796 51 16 possible possible ADJ ajst-20796 51 17 to to PART ajst-20796 51 18 arrange arrange VERB ajst-20796 51 19 parallel parallel ADJ ajst-20796 51 20 routes route NOUN ajst-20796 51 21 . . PUNCT ajst-20796 52 1 2 2 X ajst-20796 52 2 . . X ajst-20796 52 3 the the DET ajst-20796 52 4 measurement measurement NOUN ajst-20796 52 5 lines line NOUN ajst-20796 52 6 laid lay VERB ajst-20796 52 7 out out ADP ajst-20796 52 8 are be AUX ajst-20796 52 9 straight straight ADJ ajst-20796 52 10 lines line NOUN ajst-20796 52 11 . . PUNCT ajst-20796 53 1 3 3 X ajst-20796 53 2 . . X ajst-20796 53 3 the the DET ajst-20796 53 4 distance distance NOUN ajst-20796 53 5 between between ADP ajst-20796 53 6 the the DET ajst-20796 53 7 surveying surveying NOUN ajst-20796 53 8 ship ship NOUN ajst-20796 53 9 and and CCONJ ajst-20796 53 10 the the DET ajst-20796 53 11 center center ADJ ajst-20796 53 12 point point NOUN ajst-20796 53 13 of of ADP ajst-20796 53 14 the the DET ajst-20796 53 15 sea sea NOUN ajst-20796 53 16 area area NOUN ajst-20796 53 17 is be AUX ajst-20796 53 18 only only ADV ajst-20796 53 19 considered consider VERB ajst-20796 53 20 as as ADP ajst-20796 53 21 the the DET ajst-20796 53 22 distance distance NOUN ajst-20796 53 23 between between ADP ajst-20796 53 24 the the DET ajst-20796 53 25 surveying surveying NOUN ajst-20796 53 26 ship ship NOUN ajst-20796 53 27 and and CCONJ ajst-20796 53 28 the the DET ajst-20796 53 29 center center ADJ ajst-20796 53 30 point point NOUN ajst-20796 53 31 of of ADP ajst-20796 53 32 the the DET ajst-20796 53 33 sea sea NOUN ajst-20796 53 34 area area NOUN ajst-20796 53 35 in in ADP ajst-20796 53 36 the the DET ajst-20796 53 37 vertical vertical ADJ ajst-20796 53 38 direction direction NOUN ajst-20796 53 39 of of ADP ajst-20796 53 40 the the DET ajst-20796 53 41 surveying surveying NOUN ajst-20796 53 42 line line NOUN ajst-20796 53 43 , , PUNCT ajst-20796 53 44 which which PRON ajst-20796 53 45 means mean VERB ajst-20796 53 46 , , PUNCT ajst-20796 53 47 the the DET ajst-20796 53 48 distance distance NOUN ajst-20796 53 49 between between ADP ajst-20796 53 50 the the DET ajst-20796 53 51 surveying surveying NOUN ajst-20796 53 52 ship ship NOUN ajst-20796 53 53 and and CCONJ ajst-20796 53 54 the the DET ajst-20796 53 55 center center ADJ ajst-20796 53 56 point point NOUN ajst-20796 53 57 of of ADP ajst-20796 53 58 the the DET ajst-20796 53 59 sea sea NOUN ajst-20796 53 60 area area NOUN ajst-20796 53 61 along along ADP ajst-20796 53 62 the the DET ajst-20796 53 63 direction direction NOUN ajst-20796 53 64 of of ADP ajst-20796 53 65 the the DET ajst-20796 53 66 surveying surveying NOUN ajst-20796 53 67 line line NOUN ajst-20796 53 68 is be AUX ajst-20796 53 69 not not PART ajst-20796 53 70 considered consider VERB ajst-20796 53 71 . . PUNCT ajst-20796 54 1 4 4 X ajst-20796 54 2 . . X ajst-20796 54 3 since since SCONJ ajst-20796 54 4 the the DET ajst-20796 54 5 propagation propagation NOUN ajst-20796 54 6 speed speed NOUN ajst-20796 54 7 of of ADP ajst-20796 54 8 sound sound ADJ ajst-20796 54 9 wave wave NOUN ajst-20796 54 10 in in ADP ajst-20796 54 11 water water NOUN ajst-20796 54 12 is be AUX ajst-20796 54 13 much much ADV ajst-20796 54 14 higher high ADJ ajst-20796 54 15 than than ADP ajst-20796 54 16 the the DET ajst-20796 54 17 speed speed NOUN ajst-20796 54 18 of of ADP ajst-20796 54 19 ship ship NOUN ajst-20796 54 20 , , PUNCT ajst-20796 54 21 it it PRON ajst-20796 54 22 is be AUX ajst-20796 54 23 considered consider VERB ajst-20796 54 24 that that SCONJ ajst-20796 54 25 there there PRON ajst-20796 54 26 is be VERB ajst-20796 54 27 no no DET ajst-20796 54 28 time time NOUN ajst-20796 54 29 delay delay NOUN ajst-20796 54 30 effect effect NOUN ajst-20796 54 31 during during ADP ajst-20796 54 32 each each DET ajst-20796 54 33 measurement measurement NOUN ajst-20796 54 34 . . PUNCT ajst-20796 55 1 5 5 X ajst-20796 55 2 . . X ajst-20796 55 3 symbol symbol NOUN ajst-20796 55 4 description description NOUN ajst-20796 55 5 table table NOUN ajst-20796 55 6 1 1 NUM ajst-20796 55 7 . . PUNCT ajst-20796 56 1 symbol symbol NOUN ajst-20796 56 2 description description NOUN ajst-20796 56 3 symbol symbol NOUN ajst-20796 56 4 instructions instruction NOUN ajst-20796 56 5 unit unit NOUN ajst-20796 56 6 π‘Š π‘Š NOUN ajst-20796 56 7 covering cover VERB ajst-20796 56 8 width width ADJ ajst-20796 56 9 meter meter NOUN ajst-20796 56 10 πœƒ πœƒ X ajst-20796 56 11 multi multi ADJ ajst-20796 56 12 - - ADJ ajst-20796 56 13 beam beam ADJ ajst-20796 56 14 transducer transducer NOUN ajst-20796 56 15 opening opening NOUN ajst-20796 56 16 angle angle NOUN ajst-20796 56 17 angle angle NOUN ajst-20796 56 18 𝛼 𝛼 PROPN ajst-20796 56 19 submarine submarine NOUN ajst-20796 56 20 slope slope NOUN ajst-20796 56 21 angle angle NOUN ajst-20796 56 22 angle angle NOUN ajst-20796 56 23 πœ‚ πœ‚ NOUN ajst-20796 56 24 overlap overlap NOUN ajst-20796 56 25 rate rate NOUN ajst-20796 56 26 β€” β€” PUNCT ajst-20796 56 27 β€” β€” PUNCT ajst-20796 56 28 𝐷 𝐷 NOUN ajst-20796 56 29 depth depth NOUN ajst-20796 56 30 of of ADP ajst-20796 56 31 sea sea NOUN ajst-20796 56 32 water water NOUN ajst-20796 56 33 at at ADP ajst-20796 56 34 the the DET ajst-20796 56 35 center center ADJ ajst-20796 56 36 point point NOUN ajst-20796 56 37 of of ADP ajst-20796 56 38 sea sea NOUN ajst-20796 56 39 area area NOUN ajst-20796 56 40 meter meter NOUN ajst-20796 56 41 𝑑 𝑑 NOUN ajst-20796 56 42 distance distance NOUN ajst-20796 56 43 between between ADP ajst-20796 56 44 adjacent adjacent ADJ ajst-20796 56 45 survey survey NOUN ajst-20796 56 46 lines line NOUN ajst-20796 56 47 meter meter NOUN ajst-20796 56 48 𝑙 𝑙 PROPN ajst-20796 56 49 the the DET ajst-20796 56 50 i i PRON ajst-20796 56 51 line line NOUN ajst-20796 56 52 𝛼 𝛼 PRON ajst-20796 56 53 total total ADJ ajst-20796 56 54 length length NOUN ajst-20796 56 55 of of ADP ajst-20796 56 56 measuring measure VERB ajst-20796 56 57 line line NOUN ajst-20796 56 58 angle angle NOUN ajst-20796 56 59 𝐿 𝐿 NOUN ajst-20796 56 60 article article NOUN ajst-20796 56 61 i i PRON ajst-20796 56 62 measuring measure VERB ajst-20796 56 63 line line NOUN ajst-20796 56 64 length length NOUN ajst-20796 56 65 meter meter NOUN ajst-20796 56 66 z z NOUN ajst-20796 56 67 total total NOUN ajst-20796 56 68 length length NOUN ajst-20796 56 69 of of ADP ajst-20796 56 70 measuring measure VERB ajst-20796 56 71 line line NOUN ajst-20796 56 72 meter meter NOUN ajst-20796 56 73 π‘₯ π‘₯ DET ajst-20796 56 74 distance distance NOUN ajst-20796 56 75 between between ADP ajst-20796 56 76 survey survey NOUN ajst-20796 56 77 line line NOUN ajst-20796 56 78 and and CCONJ ajst-20796 56 79 center center NOUN ajst-20796 56 80 point point NOUN ajst-20796 56 81 of of ADP ajst-20796 56 82 sea sea NOUN ajst-20796 56 83 area area NOUN ajst-20796 56 84 meter meter NOUN ajst-20796 56 85 𝐷 𝐷 PROPN ajst-20796 56 86 sea sea NOUN ajst-20796 56 87 depth depth NOUN ajst-20796 56 88 meter meter NOUN ajst-20796 56 89 note note NOUN ajst-20796 56 90 : : PUNCT ajst-20796 56 91 some some DET ajst-20796 56 92 length length NOUN ajst-20796 56 93 units unit NOUN ajst-20796 56 94 in in ADP ajst-20796 56 95 the the DET ajst-20796 56 96 question question NOUN ajst-20796 56 97 are be AUX ajst-20796 56 98 in in ADP ajst-20796 56 99 nautical nautical ADJ ajst-20796 56 100 miles mile NOUN ajst-20796 56 101 , , PUNCT ajst-20796 56 102 and and CCONJ ajst-20796 56 103 all all DET ajst-20796 56 104 length length NOUN ajst-20796 56 105 units unit NOUN ajst-20796 56 106 in in ADP ajst-20796 56 107 this this DET ajst-20796 56 108 paper paper NOUN ajst-20796 56 109 are be AUX ajst-20796 56 110 in in ADP ajst-20796 56 111 the the DET ajst-20796 56 112 international international ADJ ajst-20796 56 113 standard standard ADJ ajst-20796 56 114 unit unit NOUN ajst-20796 56 115 meter meter NOUN ajst-20796 56 116 . . PUNCT ajst-20796 57 1 the the DET ajst-20796 57 2 specific specific ADJ ajst-20796 57 3 conversion conversion NOUN ajst-20796 57 4 method method NOUN ajst-20796 57 5 is be AUX ajst-20796 57 6 given give VERB ajst-20796 57 7 as as ADP ajst-20796 57 8 1 1 NUM ajst-20796 57 9 nautical nautical ADJ ajst-20796 57 10 mile mile NOUN ajst-20796 57 11 = = SYM ajst-20796 57 12 1852 1852 NUM ajst-20796 57 13 meters meter NOUN ajst-20796 57 14 according accord VERB ajst-20796 57 15 to to ADP ajst-20796 57 16 the the DET ajst-20796 57 17 question question NOUN ajst-20796 57 18 . . PUNCT ajst-20796 58 1 113 113 NUM ajst-20796 58 2 6 6 NUM ajst-20796 58 3 . . PUNCT ajst-20796 58 4 model model NOUN ajst-20796 58 5 establishment establishment NOUN ajst-20796 58 6 and and CCONJ ajst-20796 58 7 solution solution NOUN ajst-20796 58 8 6.1 6.1 NUM ajst-20796 58 9 . . PUNCT ajst-20796 59 1 establishment establishment NOUN ajst-20796 59 2 and and CCONJ ajst-20796 59 3 solution solution NOUN ajst-20796 59 4 of of ADP ajst-20796 59 5 problem-1 problem-1 NUM ajst-20796 59 6 model model NOUN ajst-20796 59 7 6.1.1 6.1.1 PROPN ajst-20796 59 8 . . PUNCT ajst-20796 60 1 model model NOUN ajst-20796 60 2 establishment establishment NOUN ajst-20796 60 3 the the DET ajst-20796 60 4 first first ADJ ajst-20796 60 5 problem problem NOUN ajst-20796 60 6 is be AUX ajst-20796 60 7 to to PART ajst-20796 60 8 calculate calculate VERB ajst-20796 60 9 the the DET ajst-20796 60 10 coverage coverage NOUN ajst-20796 60 11 width width NOUN ajst-20796 60 12 and and CCONJ ajst-20796 60 13 overlap overlap NOUN ajst-20796 60 14 rate rate NOUN ajst-20796 60 15 in in ADP ajst-20796 60 16 a a DET ajst-20796 60 17 slanted slanted ADJ ajst-20796 60 18 case case NOUN ajst-20796 60 19 . . PUNCT ajst-20796 61 1 since since SCONJ ajst-20796 61 2 the the DET ajst-20796 61 3 question question NOUN ajst-20796 61 4 does do AUX ajst-20796 61 5 not not PART ajst-20796 61 6 specify specify VERB ajst-20796 61 7 the the DET ajst-20796 61 8 specific specific ADJ ajst-20796 61 9 calculation calculation NOUN ajst-20796 61 10 method method NOUN ajst-20796 61 11 , , PUNCT ajst-20796 61 12 we we PRON ajst-20796 61 13 are be AUX ajst-20796 61 14 analogous analogous ADJ ajst-20796 61 15 to to ADP ajst-20796 61 16 the the DET ajst-20796 61 17 horizontal horizontal ADJ ajst-20796 61 18 case case NOUN ajst-20796 61 19 . . PUNCT ajst-20796 62 1 define define VERB ajst-20796 62 2 the the DET ajst-20796 62 3 coverage coverage NOUN ajst-20796 62 4 width width NOUN ajst-20796 62 5 as as ADP ajst-20796 62 6 the the DET ajst-20796 62 7 length length NOUN ajst-20796 62 8 of of ADP ajst-20796 62 9 the the DET ajst-20796 62 10 edge edge NOUN ajst-20796 62 11 beam beam NOUN ajst-20796 62 12 falling fall VERB ajst-20796 62 13 on on ADP ajst-20796 62 14 the the DET ajst-20796 62 15 seafloor seafloor NOUN ajst-20796 62 16 slope slope NOUN ajst-20796 62 17 at at ADP ajst-20796 62 18 the the DET ajst-20796 62 19 opening opening NOUN ajst-20796 62 20 angle angle NOUN ajst-20796 62 21 of of ADP ajst-20796 62 22 the the DET ajst-20796 62 23 transducer transducer NOUN ajst-20796 62 24 . . PUNCT ajst-20796 63 1 as as SCONJ ajst-20796 63 2 shown show VERB ajst-20796 63 3 in in ADP ajst-20796 63 4 figure figure NOUN ajst-20796 63 5 1 1 NUM ajst-20796 63 6 below below ADV ajst-20796 63 7 , , PUNCT ajst-20796 63 8 it it PRON ajst-20796 63 9 is be AUX ajst-20796 63 10 defined define VERB ajst-20796 63 11 as as ADP ajst-20796 63 12 covering cover VERB ajst-20796 63 13 width width PROPN ajst-20796 63 14 w= w= PROPN ajst-20796 63 15 kb kb PROPN ajst-20796 63 16 ( ( PUNCT ajst-20796 63 17 1 1 X ajst-20796 63 18 ) ) PUNCT ajst-20796 63 19 define define VERB ajst-20796 63 20 the the DET ajst-20796 63 21 overlap overlap NOUN ajst-20796 63 22 ratio ratio NOUN ajst-20796 63 23 ( ( PUNCT ajst-20796 63 24 denoted denote VERB ajst-20796 63 25 πœ‚ πœ‚ NOUN ajst-20796 63 26 ) ) PUNCT ajst-20796 63 27 as as ADP ajst-20796 63 28 1 1 NUM ajst-20796 63 29 minus minus ADP ajst-20796 63 30 the the DET ajst-20796 63 31 ratio ratio NOUN ajst-20796 63 32 of of ADP ajst-20796 63 33 the the DET ajst-20796 63 34 difference difference NOUN ajst-20796 63 35 between between ADP ajst-20796 63 36 the the DET ajst-20796 63 37 transducer transducer NOUN ajst-20796 63 38 coverage coverage NOUN ajst-20796 63 39 width width NOUN ajst-20796 63 40 and and CCONJ ajst-20796 63 41 the the DET ajst-20796 63 42 overlap overlap NOUN ajst-20796 63 43 to to ADP ajst-20796 63 44 the the DET ajst-20796 63 45 transducer transducer NOUN ajst-20796 63 46 coverage coverage NOUN ajst-20796 63 47 width width NOUN ajst-20796 63 48 . . PUNCT ajst-20796 64 1 in in ADP ajst-20796 64 2 figure figure NOUN ajst-20796 64 3 1 1 NUM ajst-20796 64 4 below below ADV ajst-20796 64 5 , , PUNCT ajst-20796 64 6 it it PRON ajst-20796 64 7 is be AUX ajst-20796 64 8 defined define VERB ajst-20796 64 9 as as ADP ajst-20796 64 10 figure figure NOUN ajst-20796 64 11 1 1 NUM ajst-20796 64 12 . . PUNCT ajst-20796 65 1 illustration illustration NOUN ajst-20796 65 2 of of ADP ajst-20796 65 3 the the DET ajst-20796 65 4 first first ADJ ajst-20796 65 5 question question NOUN ajst-20796 65 6 6.1.2 6.1.2 NUM ajst-20796 65 7 . . PUNCT ajst-20796 65 8 model model NOUN ajst-20796 65 9 solution solution NOUN ajst-20796 65 10 using use VERB ajst-20796 65 11 the the DET ajst-20796 65 12 sine sine ADJ ajst-20796 65 13 theorem theorem NOUN ajst-20796 65 14 of of ADP ajst-20796 65 15 triangle triangle NOUN ajst-20796 65 16 and and CCONJ ajst-20796 65 17 the the DET ajst-20796 65 18 relation relation NOUN ajst-20796 65 19 of of ADP ajst-20796 65 20 angle angle NOUN ajst-20796 65 21 between between ADP ajst-20796 65 22 parallel parallel ADJ ajst-20796 65 23 lines line NOUN ajst-20796 65 24 , , PUNCT ajst-20796 65 25 the the DET ajst-20796 65 26 mathematical mathematical ADJ ajst-20796 65 27 relation relation NOUN ajst-20796 65 28 is be AUX ajst-20796 65 29 established establish VERB ajst-20796 65 30 . . PUNCT ajst-20796 66 1 using use VERB ajst-20796 66 2 the the DET ajst-20796 66 3 sine sine NOUN ajst-20796 66 4 theorem theorem NOUN ajst-20796 66 5 and and CCONJ ajst-20796 66 6 triangle triangle NOUN ajst-20796 66 7 induction induction NOUN ajst-20796 66 8 formula formula NOUN ajst-20796 66 9 in in ADP ajst-20796 66 10 the the DET ajst-20796 66 11 triangle triangle NOUN ajst-20796 66 12 ahk ahk NOUN ajst-20796 66 13 , , PUNCT ajst-20796 66 14 we we PRON ajst-20796 66 15 get get VERB ajst-20796 66 16 : : PUNCT ajst-20796 66 17 |𝐾𝐻| |𝐾𝐻| VERB ajst-20796 66 18 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 19 180 180 NUM ajst-20796 66 20 Β° Β° NOUN ajst-20796 66 21 ∠1 ∠1 NOUN ajst-20796 66 22 |𝐾𝐻| |𝐾𝐻| VERB ajst-20796 66 23 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 24 ∠1 ∠1 NOUN ajst-20796 66 25 |π·π‘‘π‘Žπ‘› |π·π‘‘π‘Žπ‘› X ajst-20796 66 26 πœƒ πœƒ X ajst-20796 66 27 2 2 NUM ajst-20796 66 28 | | ADV ajst-20796 66 29 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 30 ∠𝐴𝐾𝐻 ∠𝐴𝐾𝐻 NOUN ajst-20796 66 31 ( ( PUNCT ajst-20796 66 32 3 3 X ajst-20796 66 33 ) ) PUNCT ajst-20796 66 34 using use VERB ajst-20796 66 35 the the DET ajst-20796 66 36 sine sine NOUN ajst-20796 66 37 theorem theorem NOUN ajst-20796 66 38 in in ADP ajst-20796 66 39 the the DET ajst-20796 66 40 triangle triangle NOUN ajst-20796 66 41 bhl bhl PROPN ajst-20796 66 42 , , PUNCT ajst-20796 66 43 we we PRON ajst-20796 66 44 get get VERB ajst-20796 66 45 : : PUNCT ajst-20796 66 46 |𝐡𝐻| |𝐡𝐻| ADJ ajst-20796 66 47 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 48 ∠1 ∠1 NOUN ajst-20796 66 49 |π·π‘‘π‘Žπ‘› |π·π‘‘π‘Žπ‘› X ajst-20796 66 50 πœƒ πœƒ X ajst-20796 66 51 2 2 NUM ajst-20796 66 52 | | ADV ajst-20796 66 53 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 54 ∠𝐻𝐡𝐿 ∠𝐻𝐡𝐿 NOUN ajst-20796 66 55 ( ( PUNCT ajst-20796 66 56 4 4 NUM ajst-20796 66 57 ) ) PUNCT ajst-20796 66 58 from from ADP ajst-20796 66 59 the the DET ajst-20796 66 60 parallel parallel ADJ ajst-20796 66 61 line line NOUN ajst-20796 66 62 theorem theorem NOUN ajst-20796 66 63 and and CCONJ ajst-20796 66 64 the the DET ajst-20796 66 65 sum sum NOUN ajst-20796 66 66 of of ADP ajst-20796 66 67 the the DET ajst-20796 66 68 angles angle NOUN ajst-20796 66 69 of of ADP ajst-20796 66 70 a a DET ajst-20796 66 71 triangle triangle NOUN ajst-20796 66 72 being be AUX ajst-20796 66 73 dark dark ADJ ajst-20796 66 74 180 180 NUM ajst-20796 66 75 Β° Β° NOUN ajst-20796 66 76 : : PUNCT ajst-20796 66 77 ∠1 ∠1 PROPN ajst-20796 66 78 90 90 NUM ajst-20796 66 79 Β° Β° NUM ajst-20796 66 80 πœƒ πœƒ PRON ajst-20796 66 81 2 2 NUM ajst-20796 66 82 ( ( PUNCT ajst-20796 66 83 5 5 NUM ajst-20796 66 84 ) ) PUNCT ajst-20796 66 85 ∠𝐴𝐾𝐻 ∠𝐴𝐾𝐻 NOUN ajst-20796 66 86 ∠1 ∠1 X ajst-20796 66 87 βˆ π›Ό βˆ π›Ό X ajst-20796 66 88 ( ( PUNCT ajst-20796 66 89 6 6 NUM ajst-20796 66 90 ) ) PUNCT ajst-20796 66 91 ∠𝐻𝐡𝐿 ∠𝐻𝐡𝐿 NOUN ajst-20796 66 92 180 180 NUM ajst-20796 66 93 Β° Β° NOUN ajst-20796 66 94 ∠1 ∠1 X ajst-20796 66 95 βˆ π›Ό βˆ π›Ό X ajst-20796 66 96 ( ( PUNCT ajst-20796 66 97 7 7 NUM ajst-20796 66 98 ) ) PUNCT ajst-20796 66 99 the the DET ajst-20796 66 100 quantitative quantitative ADJ ajst-20796 66 101 relationships relationship NOUN ajst-20796 66 102 in in ADP ajst-20796 66 103 length length NOUN ajst-20796 66 104 are be AUX ajst-20796 66 105 : : PUNCT ajst-20796 66 106 π‘Š π‘Š NOUN ajst-20796 66 107 |𝐴𝐡| |𝐴𝐡| NOUN ajst-20796 66 108 |𝐾𝐻| |𝐾𝐻| NOUN ajst-20796 66 109 |𝐻𝐡| |𝐻𝐡| NOUN ajst-20796 66 110 ( ( PUNCT ajst-20796 66 111 8) 8) NUM ajst-20796 66 112 combine combine NOUN ajst-20796 66 113 formula formula NOUN ajst-20796 66 114 ( ( PUNCT ajst-20796 66 115 3 3 NUM ajst-20796 66 116 ) ) PUNCT ajst-20796 66 117 ( ( PUNCT ajst-20796 66 118 8) 8) NUM ajst-20796 66 119 and and CCONJ ajst-20796 66 120 simplify simplify VERB ajst-20796 66 121 to to PART ajst-20796 66 122 obtain obtain VERB ajst-20796 66 123 the the DET ajst-20796 66 124 mathematical mathematical ADJ ajst-20796 66 125 expression expression NOUN ajst-20796 66 126 of of ADP ajst-20796 66 127 covering cover VERB ajst-20796 66 128 width width ADJ ajst-20796 66 129 άΉ άΉ NOUN ajst-20796 66 130 β—Œ β—Œ ADV ajst-20796 66 131 : : PUNCT ajst-20796 66 132 π‘Š π‘Š VERB ajst-20796 66 133 2π·π‘‘π‘Žπ‘› 2π·π‘‘π‘Žπ‘› NUM ajst-20796 66 134 πœƒ πœƒ NUM ajst-20796 66 135 2 2 NUM ajst-20796 66 136 π‘π‘œπ‘  π‘π‘œπ‘  NOUN ajst-20796 66 137 πœƒ πœƒ NUM ajst-20796 66 138 2 2 NUM ajst-20796 66 139 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-20796 66 140 90 90 NUM ajst-20796 66 141 Β° Β° NUM ajst-20796 66 142 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 66 143 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 144 90 90 NUM ajst-20796 66 145 Β° Β° NOUN ajst-20796 66 146 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 66 147 πœƒ πœƒ NUM ajst-20796 66 148 2 2 NUM ajst-20796 66 149 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-20796 66 150 90 90 NUM ajst-20796 66 151 Β° Β° NOUN ajst-20796 66 152 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 66 153 πœƒ πœƒ NUM ajst-20796 66 154 2 2 NUM ajst-20796 66 155 ( ( PUNCT ajst-20796 66 156 9 9 NUM ajst-20796 66 157 ) ) PUNCT ajst-20796 66 158 using use VERB ajst-20796 66 159 the the DET ajst-20796 66 160 sine sine NOUN ajst-20796 66 161 theorem theorem NOUN ajst-20796 66 162 in in ADP ajst-20796 66 163 the the DET ajst-20796 66 164 triangle triangle NOUN ajst-20796 66 165 kec kec PROPN ajst-20796 66 166 , , PUNCT ajst-20796 66 167 we we PRON ajst-20796 66 168 get get VERB ajst-20796 66 169 : : PUNCT ajst-20796 66 170 |𝐾𝐢| |𝐾𝐢| ADJ ajst-20796 66 171 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 172 ∠𝐾𝐸𝐢 ∠𝐾𝐸𝐢 NOUN ajst-20796 66 173 |𝐸𝐢| |𝐸𝐢| NOUN ajst-20796 66 174 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 175 ∠𝐸𝐾𝐢 ∠𝐸𝐾𝐢 ADJ ajst-20796 66 176 |𝑑| |𝑑| NOUN ajst-20796 66 177 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 66 178 ∠𝐸𝐾𝐢 ∠𝐸𝐾𝐢 ADJ ajst-20796 66 179 ( ( PUNCT ajst-20796 66 180 10 10 NUM ajst-20796 66 181 ) ) PUNCT ajst-20796 66 182 ∠𝐸𝐾𝐢 ∠𝐸𝐾𝐢 ADJ ajst-20796 66 183 ∠𝐴𝐾𝐻 ∠𝐴𝐾𝐻 NOUN ajst-20796 66 184 ( ( PUNCT ajst-20796 66 185 11 11 NUM ajst-20796 66 186 ) ) PUNCT ajst-20796 66 187 ∠𝐾𝐸𝐢 ∠𝐾𝐸𝐢 NOUN ajst-20796 66 188 180 180 NUM ajst-20796 66 189 Β° Β° NOUN ajst-20796 66 190 ∠1 ∠1 NOUN ajst-20796 66 191 ( ( PUNCT ajst-20796 66 192 12 12 NUM ajst-20796 66 193 ) ) PUNCT ajst-20796 66 194 then then ADV ajst-20796 66 195 substitute substitute NOUN ajst-20796 66 196 formula formula NOUN ajst-20796 66 197 ( ( PUNCT ajst-20796 66 198 9 9 NUM ajst-20796 66 199 ) ) PUNCT ajst-20796 66 200 ( ( PUNCT ajst-20796 66 201 12 12 NUM ajst-20796 66 202 ) ) PUNCT ajst-20796 66 203 into into ADP ajst-20796 66 204 formula formula NOUN ajst-20796 66 205 ( ( PUNCT ajst-20796 66 206 2 2 NUM ajst-20796 66 207 ) ) PUNCT ajst-20796 66 208 to to PART ajst-20796 66 209 obtain obtain VERB ajst-20796 66 210 the the DET ajst-20796 66 211 expression expression NOUN ajst-20796 66 212 of of ADP ajst-20796 66 213 overlap overlap NOUN ajst-20796 66 214 rate rate NOUN ajst-20796 66 215 πœ‚ πœ‚ NOUN ajst-20796 66 216 : : PUNCT ajst-20796 66 217 πœ‚=1βˆ’π‘‘π‘ π‘–π‘› πœ‚=1βˆ’π‘‘π‘ π‘–π‘› X ajst-20796 67 1 [ [ X ajst-20796 67 2 90 90 NUM ajst-20796 67 3 Β° Β° NUM ajst-20796 67 4 βˆ’βˆ π›Ό+πœƒ2]2π·π‘ π‘–π‘›πœƒ2π‘π‘œπ‘ βˆ π›Ό βˆ’βˆ π›Ό+πœƒ2]2π·π‘ π‘–π‘›πœƒ2π‘π‘œπ‘ βˆ π›Ό PROPN ajst-20796 67 5 ( ( PUNCT ajst-20796 67 6 13 13 NUM ajst-20796 67 7 ) ) PUNCT ajst-20796 67 8 formulas formula NOUN ajst-20796 67 9 ( ( PUNCT ajst-20796 67 10 9 9 NUM ajst-20796 67 11 ) ) PUNCT ajst-20796 67 12 and and CCONJ ajst-20796 67 13 ( ( PUNCT ajst-20796 67 14 13 13 NUM ajst-20796 67 15 ) ) PUNCT ajst-20796 67 16 give give VERB ajst-20796 67 17 the the DET ajst-20796 67 18 expression expression NOUN ajst-20796 67 19 when when SCONJ ajst-20796 67 20 the the DET ajst-20796 67 21 measurement measurement NOUN ajst-20796 67 22 line line NOUN ajst-20796 67 23 is be AUX ajst-20796 67 24 0 0 NUM ajst-20796 67 25 from from ADP ajst-20796 67 26 the the DET ajst-20796 67 27 center center ADJ ajst-20796 67 28 point point NOUN ajst-20796 67 29 of of ADP ajst-20796 67 30 the the DET ajst-20796 67 31 sea sea NOUN ajst-20796 67 32 area area NOUN ajst-20796 67 33 . . PUNCT ajst-20796 68 1 when when SCONJ ajst-20796 68 2 the the DET ajst-20796 68 3 surveying surveying NOUN ajst-20796 68 4 line line NOUN ajst-20796 68 5 moves move NOUN ajst-20796 68 6 , , PUNCT ajst-20796 68 7 the the DET ajst-20796 68 8 surveying surveying NOUN ajst-20796 68 9 line line NOUN ajst-20796 68 10 and and CCONJ ajst-20796 68 11 the the DET ajst-20796 68 12 center center ADJ ajst-20796 68 13 point point NOUN ajst-20796 68 14 of of ADP ajst-20796 68 15 the the DET ajst-20796 68 16 sea sea NOUN ajst-20796 68 17 area area NOUN ajst-20796 68 18 change change NOUN ajst-20796 68 19 , , PUNCT ajst-20796 68 20 and and CCONJ ajst-20796 68 21 only only ADV ajst-20796 68 22 the the DET ajst-20796 68 23 seawater seawater NOUN ajst-20796 68 24 depth depth NOUN ajst-20796 68 25 𝐷 𝐷 NOUN ajst-20796 68 26 will will AUX ajst-20796 68 27 change change VERB ajst-20796 68 28 ( ( PUNCT ajst-20796 68 29 become become VERB ajst-20796 68 30 𝐷 𝐷 NOUN ajst-20796 68 31 obscure obscure ADJ ajst-20796 68 32 ) ) PUNCT ajst-20796 68 33 . . PUNCT ajst-20796 69 1 assuming assume VERB ajst-20796 69 2 that that SCONJ ajst-20796 69 3 the the DET ajst-20796 69 4 distance distance NOUN ajst-20796 69 5 between between ADP ajst-20796 69 6 the the DET ajst-20796 69 7 surveying surveying NOUN ajst-20796 69 8 line line NOUN ajst-20796 69 9 and and CCONJ ajst-20796 69 10 the the DET ajst-20796 69 11 center center ADJ ajst-20796 69 12 point point NOUN ajst-20796 69 13 of of ADP ajst-20796 69 14 the the DET ajst-20796 69 15 sea sea NOUN ajst-20796 69 16 area area NOUN ajst-20796 69 17 is be AUX ajst-20796 69 18 x x X ajst-20796 69 19 , , PUNCT ajst-20796 69 20 then then ADV ajst-20796 69 21 : : PUNCT ajst-20796 69 22 𝐷 𝐷 PROPN ajst-20796 69 23 𝐷 𝐷 PROPN ajst-20796 69 24 π‘₯π‘‘π‘Žπ‘›βˆ π›Ό π‘₯π‘‘π‘Žπ‘›βˆ π›Ό PROPN ajst-20796 69 25 ( ( PUNCT ajst-20796 69 26 14 14 NUM ajst-20796 69 27 ) ) PUNCT ajst-20796 69 28 by by ADP ajst-20796 69 29 synthesizing synthesize VERB ajst-20796 69 30 formulas formula NOUN ajst-20796 69 31 ( ( PUNCT ajst-20796 69 32 9 9 NUM ajst-20796 69 33 ) ) PUNCT ajst-20796 69 34 , , PUNCT ajst-20796 69 35 ( ( PUNCT ajst-20796 69 36 13 13 NUM ajst-20796 69 37 ) ) PUNCT ajst-20796 69 38 and and CCONJ ajst-20796 69 39 ( ( PUNCT ajst-20796 69 40 14 14 NUM ajst-20796 69 41 ) ) PUNCT ajst-20796 69 42 , , PUNCT ajst-20796 69 43 we we PRON ajst-20796 69 44 can can AUX ajst-20796 69 45 achieve achieve VERB ajst-20796 69 46 the the DET ajst-20796 69 47 results result NOUN ajst-20796 69 48 obtained obtain VERB ajst-20796 69 49 from from ADP ajst-20796 69 50 the the DET ajst-20796 69 51 calculation calculation NOUN ajst-20796 69 52 of of ADP ajst-20796 69 53 the the DET ajst-20796 69 54 given give VERB ajst-20796 69 55 parameters parameter NOUN ajst-20796 69 56 in in ADP ajst-20796 69 57 topic topic NOUN ajst-20796 69 58 1 1 NUM ajst-20796 69 59 through through ADP ajst-20796 69 60 matlab matlab PROPN ajst-20796 69 61 programming programming NOUN ajst-20796 69 62 ( ( PUNCT ajst-20796 69 63 see see VERB ajst-20796 69 64 table table NOUN ajst-20796 69 65 2 2 NUM ajst-20796 69 66 ): ): PUNCT ajst-20796 69 67 table table NOUN ajst-20796 69 68 2 2 NUM ajst-20796 69 69 . . PUNCT ajst-20796 70 1 the the DET ajst-20796 70 2 result result NOUN ajst-20796 70 3 of of ADP ajst-20796 70 4 question question NOUN ajst-20796 70 5 1 1 NUM ajst-20796 70 6 measure measure NOUN ajst-20796 70 7 the the DET ajst-20796 70 8 distance distance NOUN ajst-20796 70 9 between between ADP ajst-20796 70 10 the the DET ajst-20796 70 11 line line NOUN ajst-20796 70 12 and and CCONJ ajst-20796 70 13 the the DET ajst-20796 70 14 center center NOUN ajst-20796 70 15 point point NOUN ajst-20796 70 16 /m /m PUNCT ajst-20796 71 1 -800 -800 INTJ ajst-20796 72 1 -600 -600 INTJ ajst-20796 72 2 -400 -400 INTJ ajst-20796 73 1 -200 -200 NUM ajst-20796 73 2 0 0 NUM ajst-20796 73 3 200 200 NUM ajst-20796 73 4 400 400 NUM ajst-20796 73 5 600 600 NUM ajst-20796 73 6 800 800 NUM ajst-20796 73 7 sea sea NOUN ajst-20796 73 8 depth depth NOUN ajst-20796 73 9 /m /m PUNCT ajst-20796 74 1 49.051 49.051 NUM ajst-20796 74 2 54.288 54.288 NUM ajst-20796 74 3 59.526 59.526 NUM ajst-20796 74 4 64.763 64.763 NUM ajst-20796 74 5 70.000 70.000 NUM ajst-20796 74 6 75.237 75.237 NUM ajst-20796 74 7 80.474 80.474 NUM ajst-20796 74 8 85.712 85.712 NUM ajst-20796 74 9 90.949 90.949 NUM ajst-20796 74 10 coverage coverage NOUN ajst-20796 74 11 width width NOUN ajst-20796 74 12 /m /m PUNCT ajst-20796 75 1 170.32 170.32 NUM ajst-20796 75 2 188.51 188.51 NUM ajst-20796 75 3 206.69 206.69 NUM ajst-20796 75 4 224.88 224.88 NUM ajst-20796 75 5 243.07 243.07 NUM ajst-20796 75 6 261.25 261.25 NUM ajst-20796 75 7 279.44 279.44 NUM ajst-20796 75 8 297.62 297.62 NUM ajst-20796 75 9 315.81 315.81 NUM ajst-20796 75 10 overlap overlap NOUN ajst-20796 75 11 rate rate NOUN ajst-20796 75 12 with with ADP ajst-20796 75 13 the the DET ajst-20796 75 14 previous previous ADJ ajst-20796 75 15 line line NOUN ajst-20796 75 16 /% /% PRON ajst-20796 75 17 β€” β€” PUNCT ajst-20796 75 18 -23.0 -23.0 NUM ajst-20796 75 19 % % NOUN ajst-20796 75 20 -11.2 -11.2 NOUN ajst-20796 75 21 % % NOUN ajst-20796 75 22 -1.4 -1.4 NUM ajst-20796 75 23 % % NOUN ajst-20796 75 24 6.8 6.8 NUM ajst-20796 75 25 % % NOUN ajst-20796 75 26 13.8 13.8 NUM ajst-20796 75 27 % % NOUN ajst-20796 75 28 19.8 19.8 NUM ajst-20796 75 29 % % NOUN ajst-20796 75 30 25.0 25.0 NUM ajst-20796 75 31 % % NOUN ajst-20796 75 32 29.6 29.6 NUM ajst-20796 75 33 % % NOUN ajst-20796 75 34 overlap overlap NOUN ajst-20796 75 35 rate rate NOUN ajst-20796 75 36 πœ‚ πœ‚ NOUN ajst-20796 75 37 1 1 NUM ajst-20796 76 1 | | ADV ajst-20796 76 2 | | ADV ajst-20796 76 3 ( ( PUNCT ajst-20796 76 4 2 2 NUM ajst-20796 76 5 ) ) PUNCT ajst-20796 76 6 114 114 NUM ajst-20796 76 7 6.2 6.2 NUM ajst-20796 76 8 . . PUNCT ajst-20796 77 1 establishment establishment NOUN ajst-20796 77 2 and and CCONJ ajst-20796 77 3 solution solution NOUN ajst-20796 77 4 of of ADP ajst-20796 77 5 problem problem NOUN ajst-20796 77 6 2 2 NUM ajst-20796 77 7 model model NOUN ajst-20796 77 8 problem problem NOUN ajst-20796 77 9 2 2 NUM ajst-20796 77 10 introduces introduce NOUN ajst-20796 77 11 a a DET ajst-20796 77 12 more more ADV ajst-20796 77 13 complex complex ADJ ajst-20796 77 14 scenario scenario NOUN ajst-20796 77 15 on on ADP ajst-20796 77 16 the the DET ajst-20796 77 17 basis basis NOUN ajst-20796 77 18 of of ADP ajst-20796 77 19 problem problem NOUN ajst-20796 77 20 1 1 NUM ajst-20796 77 21 . . PUNCT ajst-20796 78 1 since since SCONJ ajst-20796 78 2 the the DET ajst-20796 78 3 beam beam NOUN ajst-20796 78 4 surface surface NOUN ajst-20796 78 5 is be AUX ajst-20796 78 6 actually actually ADV ajst-20796 78 7 a a DET ajst-20796 78 8 plane plane NOUN ajst-20796 78 9 perpendicular perpendicular NOUN ajst-20796 78 10 to to ADP ajst-20796 78 11 the the DET ajst-20796 78 12 survey survey NOUN ajst-20796 78 13 line line NOUN ajst-20796 78 14 , , PUNCT ajst-20796 78 15 we we PRON ajst-20796 78 16 are be AUX ajst-20796 78 17 more more ADV ajst-20796 78 18 concerned concerned ADJ ajst-20796 78 19 about about ADP ajst-20796 78 20 the the DET ajst-20796 78 21 change change NOUN ajst-20796 78 22 of of ADP ajst-20796 78 23 the the DET ajst-20796 78 24 vertical vertical ADJ ajst-20796 78 25 surface surface NOUN ajst-20796 78 26 of of ADP ajst-20796 78 27 the the DET ajst-20796 78 28 survey survey NOUN ajst-20796 78 29 line line NOUN ajst-20796 78 30 in in ADP ajst-20796 78 31 the the DET ajst-20796 78 32 following follow VERB ajst-20796 78 33 analysis analysis NOUN ajst-20796 78 34 . . PUNCT ajst-20796 79 1 in in ADP ajst-20796 79 2 problem problem NOUN ajst-20796 79 3 1 1 NUM ajst-20796 79 4 , , PUNCT ajst-20796 79 5 the the DET ajst-20796 79 6 vertical vertical ADJ ajst-20796 79 7 plane plane NOUN ajst-20796 79 8 of of ADP ajst-20796 79 9 the the DET ajst-20796 79 10 line line NOUN ajst-20796 79 11 is be AUX ajst-20796 79 12 parallel parallel ADJ ajst-20796 79 13 to to ADP ajst-20796 79 14 the the DET ajst-20796 79 15 horizontal horizontal ADJ ajst-20796 79 16 component component NOUN ajst-20796 79 17 of of ADP ajst-20796 79 18 the the DET ajst-20796 79 19 slope slope NOUN ajst-20796 79 20 's 's PART ajst-20796 79 21 normal normal ADJ ajst-20796 79 22 direction direction NOUN ajst-20796 79 23 , , PUNCT ajst-20796 79 24 while while SCONJ ajst-20796 79 25 in in ADP ajst-20796 79 26 problem problem NOUN ajst-20796 79 27 2 2 NUM ajst-20796 79 28 , , PUNCT ajst-20796 79 29 there there PRON ajst-20796 79 30 is be VERB ajst-20796 79 31 a a DET ajst-20796 79 32 certain certain ADJ ajst-20796 79 33 angle angle NOUN ajst-20796 79 34 between between ADP ajst-20796 79 35 the the DET ajst-20796 79 36 vertical vertical ADJ ajst-20796 79 37 plane plane NOUN ajst-20796 79 38 of of ADP ajst-20796 79 39 the the DET ajst-20796 79 40 line line NOUN ajst-20796 79 41 and and CCONJ ajst-20796 79 42 the the DET ajst-20796 79 43 horizontal horizontal ADJ ajst-20796 79 44 component component NOUN ajst-20796 79 45 of of ADP ajst-20796 79 46 the the DET ajst-20796 79 47 slope slope NOUN ajst-20796 79 48 's 's PART ajst-20796 79 49 normal normal ADJ ajst-20796 79 50 direction direction NOUN ajst-20796 79 51 . . PUNCT ajst-20796 80 1 if if SCONJ ajst-20796 80 2 the the DET ajst-20796 80 3 position position NOUN ajst-20796 80 4 of of ADP ajst-20796 80 5 the the DET ajst-20796 80 6 vertical vertical ADJ ajst-20796 80 7 plane plane NOUN ajst-20796 80 8 can can AUX ajst-20796 80 9 be be AUX ajst-20796 80 10 determined determine VERB ajst-20796 80 11 , , PUNCT ajst-20796 80 12 we we PRON ajst-20796 80 13 can can AUX ajst-20796 80 14 imagine imagine VERB ajst-20796 80 15 a a DET ajst-20796 80 16 slope slope NOUN ajst-20796 80 17 formed form VERB ajst-20796 80 18 by by ADP ajst-20796 80 19 the the DET ajst-20796 80 20 vertical vertical ADJ ajst-20796 80 21 plane plane NOUN ajst-20796 80 22 of of ADP ajst-20796 80 23 the the DET ajst-20796 80 24 vertical vertical ADJ ajst-20796 80 25 line line NOUN ajst-20796 80 26 and and CCONJ ajst-20796 80 27 the the DET ajst-20796 80 28 reference reference NOUN ajst-20796 80 29 plane plane NOUN ajst-20796 80 30 of of ADP ajst-20796 80 31 the the DET ajst-20796 80 32 seabed seabed NOUN ajst-20796 80 33 , , PUNCT ajst-20796 80 34 and and CCONJ ajst-20796 80 35 then then ADV ajst-20796 80 36 solve solve VERB ajst-20796 80 37 the the DET ajst-20796 80 38 slope slope NOUN ajst-20796 80 39 angle angle NOUN ajst-20796 80 40 of of ADP ajst-20796 80 41 the the DET ajst-20796 80 42 imaginary imaginary ADJ ajst-20796 80 43 slope slope NOUN ajst-20796 80 44 surface surface NOUN ajst-20796 80 45 Ξ± Ξ± NOUN ajst-20796 80 46 Μƒ Μƒ NOUN ajst-20796 80 47 by by ADP ajst-20796 80 48 using use VERB ajst-20796 80 49 geometric geometric ADJ ajst-20796 80 50 relations relation NOUN ajst-20796 80 51 . . PUNCT ajst-20796 81 1 then then ADV ajst-20796 81 2 problem problem NOUN ajst-20796 81 3 2 2 NUM ajst-20796 81 4 can can AUX ajst-20796 81 5 be be AUX ajst-20796 81 6 simplified simplify VERB ajst-20796 81 7 to to PART ajst-20796 81 8 problem problem VERB ajst-20796 81 9 1 1 NUM ajst-20796 81 10 . . PUNCT ajst-20796 82 1 therefore therefore ADV ajst-20796 82 2 , , PUNCT ajst-20796 82 3 the the DET ajst-20796 82 4 center center NOUN ajst-20796 82 5 point point NOUN ajst-20796 82 6 of of ADP ajst-20796 82 7 the the DET ajst-20796 82 8 sea sea NOUN ajst-20796 82 9 area area NOUN ajst-20796 82 10 ( ( PUNCT ajst-20796 82 11 denoted denote VERB ajst-20796 82 12 c c NOUN ajst-20796 82 13 ) ) PUNCT ajst-20796 82 14 is be AUX ajst-20796 82 15 the the DET ajst-20796 82 16 vertical vertical ADJ ajst-20796 82 17 plane plane NOUN ajst-20796 82 18 of of ADP ajst-20796 82 19 the the DET ajst-20796 82 20 survey survey NOUN ajst-20796 82 21 line line NOUN ajst-20796 82 22 and and CCONJ ajst-20796 82 23 intersects intersect VERB ajst-20796 82 24 it it PRON ajst-20796 82 25 with with ADP ajst-20796 82 26 the the DET ajst-20796 82 27 submarine submarine NOUN ajst-20796 82 28 reference reference NOUN ajst-20796 82 29 plane plane NOUN ajst-20796 82 30 . . PUNCT ajst-20796 83 1 the the DET ajst-20796 83 2 intersection intersection NOUN ajst-20796 83 3 line line NOUN ajst-20796 83 4 is be AUX ajst-20796 83 5 denoted denote VERB ajst-20796 83 6 b. b. PROPN ajst-20796 83 7 points point NOUN ajst-20796 83 8 o o NOUN ajst-20796 83 9 and and CCONJ ajst-20796 83 10 b b NOUN ajst-20796 83 11 are be AUX ajst-20796 83 12 at at ADP ajst-20796 83 13 the the DET ajst-20796 83 14 intersection intersection NOUN ajst-20796 83 15 line line NOUN ajst-20796 83 16 b b PROPN ajst-20796 83 17 , , PUNCT ajst-20796 83 18 connect connect VERB ajst-20796 83 19 c c PROPN ajst-20796 83 20 and and CCONJ ajst-20796 83 21 o o NOUN ajst-20796 83 22 , , PUNCT ajst-20796 83 23 so so SCONJ ajst-20796 83 24 that that SCONJ ajst-20796 83 25 co co NOUN ajst-20796 83 26 is be AUX ajst-20796 83 27 perpendicular perpendicular ADJ ajst-20796 83 28 to to ADP ajst-20796 83 29 the the DET ajst-20796 83 30 submarine submarine NOUN ajst-20796 83 31 reference reference NOUN ajst-20796 83 32 plane plane NOUN ajst-20796 83 33 ( ( PUNCT ajst-20796 83 34 denoted denote VERB ajst-20796 83 35 line line NOUN ajst-20796 83 36 segment segment NOUN ajst-20796 83 37 co co NOUN ajst-20796 83 38 is be AUX ajst-20796 83 39 line line NOUN ajst-20796 83 40 h h NOUN ajst-20796 83 41 ) ) PUNCT ajst-20796 83 42 . . PUNCT ajst-20796 84 1 point point NOUN ajst-20796 84 2 b b NOUN ajst-20796 84 3 is be AUX ajst-20796 84 4 at at ADP ajst-20796 84 5 the the DET ajst-20796 84 6 intersection intersection NOUN ajst-20796 84 7 line line NOUN ajst-20796 84 8 between between ADP ajst-20796 84 9 the the DET ajst-20796 84 10 submarine submarine NOUN ajst-20796 84 11 reference reference NOUN ajst-20796 84 12 plane plane NOUN ajst-20796 84 13 and and CCONJ ajst-20796 84 14 the the DET ajst-20796 84 15 bottom bottom ADJ ajst-20796 84 16 slope slope NOUN ajst-20796 84 17 of of ADP ajst-20796 84 18 the the DET ajst-20796 84 19 real real ADJ ajst-20796 84 20 sea sea NOUN ajst-20796 84 21 7 7 NUM ajst-20796 84 22 ( ( PUNCT ajst-20796 84 23 denoted denote VERB ajst-20796 84 24 l l NOUN ajst-20796 84 25 ) ) PUNCT ajst-20796 84 26 . . PUNCT ajst-20796 85 1 cross cross VERB ajst-20796 85 2 the the DET ajst-20796 85 3 center center NOUN ajst-20796 85 4 point point NOUN ajst-20796 85 5 c c PROPN ajst-20796 85 6 of of ADP ajst-20796 85 7 the the DET ajst-20796 85 8 sea sea NOUN ajst-20796 85 9 area area NOUN ajst-20796 85 10 to to ADP ajst-20796 85 11 the the DET ajst-20796 85 12 intersection intersection NOUN ajst-20796 85 13 line line NOUN ajst-20796 85 14 of of ADP ajst-20796 85 15 the the DET ajst-20796 85 16 submarine submarine NOUN ajst-20796 85 17 slope slope NOUN ajst-20796 85 18 and and CCONJ ajst-20796 85 19 the the DET ajst-20796 85 20 submarine submarine NOUN ajst-20796 85 21 reference reference NOUN ajst-20796 85 22 plane plane NOUN ajst-20796 85 23 as as ADP ajst-20796 85 24 a a DET ajst-20796 85 25 vertical vertical ADJ ajst-20796 85 26 line line NOUN ajst-20796 85 27 . . PUNCT ajst-20796 86 1 the the DET ajst-20796 86 2 intersection intersection NOUN ajst-20796 86 3 point point NOUN ajst-20796 86 4 is be AUX ajst-20796 86 5 denoted denote VERB ajst-20796 86 6 as as ADP ajst-20796 86 7 point point NOUN ajst-20796 86 8 a a PRON ajst-20796 86 9 , , PUNCT ajst-20796 86 10 connecting connect VERB ajst-20796 86 11 oa oa X ajst-20796 86 12 ( ( PUNCT ajst-20796 86 13 denoted denote VERB ajst-20796 86 14 as as ADP ajst-20796 86 15 line line NOUN ajst-20796 86 16 a a PRON ajst-20796 86 17 ) ) PUNCT ajst-20796 86 18 , , PUNCT ajst-20796 86 19 bc bc PROPN ajst-20796 86 20 . . PUNCT ajst-20796 87 1 the the DET ajst-20796 87 2 scenario scenario NOUN ajst-20796 87 3 diagram diagram NOUN ajst-20796 87 4 is be AUX ajst-20796 87 5 shown show VERB ajst-20796 87 6 in in ADP ajst-20796 87 7 figure figure NOUN ajst-20796 87 8 2 2 NUM ajst-20796 87 9 below below ADP ajst-20796 87 10 figure figure NOUN ajst-20796 87 11 2 2 NUM ajst-20796 87 12 . . PUNCT ajst-20796 88 1 it it PRON ajst-20796 88 2 is be AUX ajst-20796 88 3 easy easy ADJ ajst-20796 88 4 to to PART ajst-20796 88 5 know know VERB ajst-20796 88 6 from from ADP ajst-20796 88 7 the the DET ajst-20796 88 8 figure figure NOUN ajst-20796 88 9 that that SCONJ ajst-20796 88 10 there there PRON ajst-20796 88 11 is be VERB ajst-20796 88 12 a a DET ajst-20796 88 13 trigonometric trigonometric ADJ ajst-20796 88 14 function function NOUN ajst-20796 88 15 relationship relationship NOUN ajst-20796 88 16 at at ADP ajst-20796 88 17 this this DET ajst-20796 88 18 time time NOUN ajst-20796 88 19 : : PUNCT ajst-20796 88 20 π‘‘π‘Žπ‘›βˆ π›Ό π‘‘π‘Žπ‘›βˆ π›Ό NUM ajst-20796 88 21 |𝐢𝑂| |𝐢𝑂| NOUN ajst-20796 88 22 |𝐴𝑂| |𝐴𝑂| VERB ajst-20796 88 23 ， ， PUNCT ajst-20796 88 24 π‘‘π‘Žπ‘›βˆ π›Ό π‘‘π‘Žπ‘›βˆ π›Ό NUM ajst-20796 88 25 |𝐢𝑂| |𝐢𝑂| NOUN ajst-20796 88 26 |𝐡𝑂| |𝐡𝑂| NOUN ajst-20796 88 27 ( ( PUNCT ajst-20796 88 28 15 15 NUM ajst-20796 88 29 ) ) PUNCT ajst-20796 88 30 since since SCONJ ajst-20796 88 31 𝐢𝑂 𝐢𝑂 PROPN ajst-20796 88 32 is be AUX ajst-20796 88 33 the the DET ajst-20796 88 34 reference reference NOUN ajst-20796 88 35 plane plane NOUN ajst-20796 88 36 of of ADP ajst-20796 88 37 the the DET ajst-20796 88 38 ocean ocean NOUN ajst-20796 89 1 floor,𝐢𝑂 floor,𝐢𝑂 PROPN ajst-20796 89 2 βŠ₯ βŠ₯ PROPN ajst-20796 89 3 𝑙. 𝑙. NOUN ajst-20796 90 1 and and CCONJ ajst-20796 90 2 since since SCONJ ajst-20796 90 3 𝐢𝐴 𝐢𝐴 PROPN ajst-20796 90 4 βŠ₯ βŠ₯ NOUN ajst-20796 90 5 π‘™οΌŒπΆπ΄ π‘™οΌŒπΆπ΄ VERB ajst-20796 90 6 ∩ ∩ NOUN ajst-20796 90 7 𝐢𝑂 𝐢𝑂 PROPN ajst-20796 90 8 𝐢. 𝐢. PROPN ajst-20796 90 9 from from ADP ajst-20796 90 10 the the DET ajst-20796 90 11 vertical vertical ADJ ajst-20796 90 12 theorem theorem NOUN ajst-20796 90 13 of of ADP ajst-20796 90 14 line line NOUN ajst-20796 90 15 and and CCONJ ajst-20796 90 16 plane plane NOUN ajst-20796 90 17 , , PUNCT ajst-20796 90 18 it it PRON ajst-20796 90 19 can can AUX ajst-20796 90 20 be be AUX ajst-20796 90 21 concluded conclude VERB ajst-20796 90 22 that that SCONJ ajst-20796 90 23 𝑙 𝑙 PRON ajst-20796 90 24 βŠ₯ βŠ₯ PROPN ajst-20796 90 25 πΉπ‘Žπ‘π‘’ πΉπ‘Žπ‘π‘’ PROPN ajst-20796 90 26 𝑂𝐢𝐴. 𝑂𝐢𝐴. X ajst-20796 90 27 since since SCONJ ajst-20796 90 28 the the DET ajst-20796 90 29 line line NOUN ajst-20796 90 30 plane plane NOUN ajst-20796 90 31 is be AUX ajst-20796 90 32 perpendicular,𝑙 perpendicular,𝑙 PUNCT ajst-20796 90 33 is be AUX ajst-20796 90 34 perpendicular perpendicular ADJ ajst-20796 90 35 to to ADP ajst-20796 90 36 any any DET ajst-20796 90 37 line line NOUN ajst-20796 90 38 in in ADP ajst-20796 90 39 the the DET ajst-20796 90 40 face face NOUN ajst-20796 90 41 oca oca NOUN ajst-20796 90 42 , , PUNCT ajst-20796 90 43 i.e. i.e. X ajst-20796 90 44 : : PUNCT ajst-20796 90 45 βˆ€π‘™π‘–π‘›π‘’π‘₯ βˆ€π‘™π‘–π‘›π‘’π‘₯ PROPN ajst-20796 90 46 βŠ‚ βŠ‚ PROPN ajst-20796 90 47 π‘“π‘Žπ‘π‘’ π‘“π‘Žπ‘π‘’ ADV ajst-20796 90 48 π‘‚πΆπ΄οΌŒπ‘™ π‘‚πΆπ΄οΌŒπ‘™ VERB ajst-20796 90 49 βŠ₯ βŠ₯ PROPN ajst-20796 90 50 π‘₯ π‘₯ PROPN ajst-20796 90 51 ( ( PUNCT ajst-20796 90 52 16 16 NUM ajst-20796 90 53 ) ) PUNCT ajst-20796 90 54 so so SCONJ ajst-20796 90 55 the the DET ajst-20796 90 56 line line NOUN ajst-20796 90 57 oa oa INTJ ajst-20796 90 58 is be AUX ajst-20796 90 59 perpendicular perpendicular ADJ ajst-20796 90 60 to to ADP ajst-20796 90 61 the the DET ajst-20796 90 62 intersection intersection NOUN ajst-20796 90 63 line line NOUN ajst-20796 90 64 𝑙 𝑙 NOUN ajst-20796 90 65 , , PUNCT ajst-20796 90 66 i.e. i.e. X ajst-20796 90 67 ,βˆ π‘‚π΄π΅ ,βˆ π‘‚π΄π΅ PUNCT ajst-20796 90 68 90 90 NUM ajst-20796 90 69 Β° Β° NOUN ajst-20796 90 70 in in ADP ajst-20796 90 71 the the DET ajst-20796 90 72 triangle triangle NOUN ajst-20796 90 73 oab,βˆ π‘‚π΄π΅ oab,βˆ π‘‚π΄π΅ PROPN ajst-20796 90 74 90 90 NUM ajst-20796 91 1 Β° Β° NOUN ajst-20796 91 2 οΌŒβˆ π΄π‘‚π΅ οΌŒβˆ π΄π‘‚π΅ X ajst-20796 91 3 βˆ π›½ βˆ π›½ PROPN ajst-20796 91 4 90 90 NUM ajst-20796 91 5 Β° Β° NOUN ajst-20796 91 6 , , PUNCT ajst-20796 91 7 so so SCONJ ajst-20796 91 8 π‘π‘œπ‘ βˆ π΄π‘‚π΅ π‘π‘œπ‘ βˆ π΄π‘‚π΅ VERB ajst-20796 92 1 π‘π‘œπ‘  π‘π‘œπ‘  NOUN ajst-20796 92 2 βˆ π›½ βˆ π›½ NOUN ajst-20796 92 3 90 90 NUM ajst-20796 92 4 Β° Β° NOUN ajst-20796 92 5 |𝐴𝑂| |𝐴𝑂| VERB ajst-20796 92 6 |𝐡𝑂| |𝐡𝑂| NOUN ajst-20796 92 7 ( ( PUNCT ajst-20796 92 8 17 17 NUM ajst-20796 92 9 ) ) PUNCT ajst-20796 92 10 by by ADP ajst-20796 92 11 combining combine VERB ajst-20796 92 12 equations equation NOUN ajst-20796 92 13 ( ( PUNCT ajst-20796 92 14 14 14 NUM ajst-20796 92 15 ) ) PUNCT ajst-20796 92 16 and and CCONJ ajst-20796 92 17 ( ( PUNCT ajst-20796 92 18 16 16 NUM ajst-20796 92 19 ) ) PUNCT ajst-20796 92 20 , , PUNCT ajst-20796 92 21 the the DET ajst-20796 92 22 mathematical mathematical ADJ ajst-20796 92 23 relationship relationship NOUN ajst-20796 92 24 of of ADP ajst-20796 92 25 imaginary imaginary ADJ ajst-20796 92 26 slope slope NOUN ajst-20796 92 27 angle angle NOUN ajst-20796 92 28 can can AUX ajst-20796 92 29 be be AUX ajst-20796 92 30 obtained obtain VERB ajst-20796 92 31 : : PUNCT ajst-20796 92 32 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 92 33 π‘Žπ‘Ÿπ‘π‘‘π‘Žπ‘› π‘Žπ‘Ÿπ‘π‘‘π‘Žπ‘› X ajst-20796 92 34 |π‘ π‘–π‘›βˆ π›½| |π‘ π‘–π‘›βˆ π›½| PROPN ajst-20796 92 35 π‘‘π‘Žπ‘›βˆ π›Ό π‘‘π‘Žπ‘›βˆ π›Ό PROPN ajst-20796 92 36 ( ( PUNCT ajst-20796 92 37 18 18 NUM ajst-20796 92 38 ) ) PUNCT ajst-20796 92 39 after after SCONJ ajst-20796 92 40 the the DET ajst-20796 92 41 imaginary imaginary ADJ ajst-20796 92 42 slope slope NOUN ajst-20796 92 43 angle angle NOUN ajst-20796 92 44 is be AUX ajst-20796 92 45 obtained obtain VERB ajst-20796 92 46 , , PUNCT ajst-20796 92 47 problem problem NOUN ajst-20796 92 48 2 2 NUM ajst-20796 92 49 is be AUX ajst-20796 92 50 simplified simplify VERB ajst-20796 92 51 to to PART ajst-20796 92 52 problem problem VERB ajst-20796 92 53 1 1 NUM ajst-20796 92 54 . . NOUN ajst-20796 92 55 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 92 56 in in ADP ajst-20796 92 57 formula formula NOUN ajst-20796 92 58 ( ( PUNCT ajst-20796 92 59 9 9 NUM ajst-20796 92 60 ) ) PUNCT ajst-20796 92 61 and and CCONJ ajst-20796 92 62 formula formula NOUN ajst-20796 92 63 ( ( PUNCT ajst-20796 92 64 14 14 NUM ajst-20796 92 65 ) ) PUNCT ajst-20796 92 66 is be AUX ajst-20796 92 67 replaced replace VERB ajst-20796 92 68 by by ADP ajst-20796 92 69 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 92 70 , , PUNCT ajst-20796 92 71 and and CCONJ ajst-20796 92 72 𝐷 𝐷 NOUN ajst-20796 92 73 in in ADP ajst-20796 92 74 formula formula NOUN ajst-20796 92 75 ( ( PUNCT ajst-20796 92 76 9 9 NUM ajst-20796 92 77 ) ) PUNCT ajst-20796 92 78 is be AUX ajst-20796 92 79 replaced replace VERB ajst-20796 92 80 by𝐷 by𝐷 NOUN ajst-20796 92 81 Μ΅ Μ΅ NOUN ajst-20796 92 82 in in ADP ajst-20796 92 83 formula formula NOUN ajst-20796 92 84 ( ( PUNCT ajst-20796 92 85 14 14 NUM ajst-20796 92 86 ) ) PUNCT ajst-20796 92 87 . . PUNCT ajst-20796 93 1 the the DET ajst-20796 93 2 total total ADJ ajst-20796 93 3 formula formula NOUN ajst-20796 93 4 for for ADP ajst-20796 93 5 the the DET ajst-20796 93 6 coverage coverage NOUN ajst-20796 93 7 width width NOUN ajst-20796 93 8 of of ADP ajst-20796 93 9 problem problem NOUN ajst-20796 93 10 2 2 NUM ajst-20796 93 11 is be AUX ajst-20796 93 12 as as SCONJ ajst-20796 93 13 follows follow VERB ajst-20796 93 14 : : PUNCT ajst-20796 93 15 π‘Š π‘Š PROPN ajst-20796 93 16 2 2 NUM ajst-20796 93 17 𝐷 𝐷 NOUN ajst-20796 93 18 π‘₯π‘‘π‘Žπ‘›βˆ π›Ό π‘₯π‘‘π‘Žπ‘›βˆ π›Ό PROPN ajst-20796 93 19 π‘‘π‘Žπ‘› π‘‘π‘Žπ‘› NOUN ajst-20796 93 20 πœƒ πœƒ NUM ajst-20796 93 21 2 2 NUM ajst-20796 93 22 π‘π‘œπ‘  π‘π‘œπ‘  NOUN ajst-20796 93 23 πœƒ πœƒ NUM ajst-20796 93 24 2 2 NUM ajst-20796 93 25 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-20796 93 26 90 90 NUM ajst-20796 93 27 Β° Β° NUM ajst-20796 93 28 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 93 29 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-20796 93 30 90 90 NUM ajst-20796 93 31 Β° Β° NOUN ajst-20796 93 32 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 93 33 πœƒ πœƒ NUM ajst-20796 93 34 2 2 NUM ajst-20796 93 35 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-20796 93 36 90 90 NUM ajst-20796 93 37 Β° Β° NOUN ajst-20796 93 38 βˆ π›Ό βˆ π›Ό NOUN ajst-20796 93 39 πœƒ πœƒ NUM ajst-20796 93 40 2 2 NUM ajst-20796 93 41 ( ( PUNCT ajst-20796 93 42 19 19 NUM ajst-20796 93 43 ) ) PUNCT ajst-20796 93 44 the the DET ajst-20796 93 45 formula formula NOUN ajst-20796 93 46 ( ( PUNCT ajst-20796 93 47 19 19 NUM ajst-20796 93 48 ) ) PUNCT ajst-20796 93 49 was be AUX ajst-20796 93 50 programmed program VERB ajst-20796 93 51 in in ADP ajst-20796 93 52 matlab matlab PROPN ajst-20796 93 53 , , PUNCT ajst-20796 93 54 and and CCONJ ajst-20796 93 55 the the DET ajst-20796 93 56 parameters parameter NOUN ajst-20796 93 57 given give VERB ajst-20796 93 58 in in ADP ajst-20796 93 59 question question NOUN ajst-20796 93 60 2 2 NUM ajst-20796 93 61 were be AUX ajst-20796 93 62 substituted substitute VERB ajst-20796 93 63 , , PUNCT ajst-20796 93 64 and and CCONJ ajst-20796 93 65 the the DET ajst-20796 93 66 results result NOUN ajst-20796 93 67 were be AUX ajst-20796 93 68 obtained obtain VERB ajst-20796 93 69 . . PUNCT ajst-20796 94 1 6.3 6.3 NUM ajst-20796 94 2 . . PUNCT ajst-20796 94 3 establishment establishment NOUN ajst-20796 94 4 and and CCONJ ajst-20796 94 5 solution solution NOUN ajst-20796 94 6 of of ADP ajst-20796 94 7 problem problem NOUN ajst-20796 94 8 3 3 NUM ajst-20796 94 9 model model NOUN ajst-20796 94 10 this this DET ajst-20796 94 11 problem problem NOUN ajst-20796 94 12 is be AUX ajst-20796 94 13 an an DET ajst-20796 94 14 optimization optimization NOUN ajst-20796 94 15 problem problem NOUN ajst-20796 94 16 , , PUNCT ajst-20796 94 17 which which PRON ajst-20796 94 18 needs need VERB ajst-20796 94 19 to to PART ajst-20796 94 20 design design VERB ajst-20796 94 21 a a DET ajst-20796 94 22 set set NOUN ajst-20796 94 23 of of ADP ajst-20796 94 24 routes route NOUN ajst-20796 94 25 with with ADP ajst-20796 94 26 the the DET ajst-20796 94 27 shortest short ADJ ajst-20796 94 28 measurement measurement NOUN ajst-20796 94 29 length length NOUN ajst-20796 94 30 . . PUNCT ajst-20796 95 1 it it PRON ajst-20796 95 2 can can AUX ajst-20796 95 3 completely completely ADV ajst-20796 95 4 cover cover VERB ajst-20796 95 5 the the DET ajst-20796 95 6 entire entire ADJ ajst-20796 95 7 sea sea NOUN ajst-20796 95 8 area area NOUN ajst-20796 95 9 , , PUNCT ajst-20796 95 10 and and CCONJ ajst-20796 95 11 meet meet VERB ajst-20796 95 12 the the DET ajst-20796 95 13 requirement requirement NOUN ajst-20796 95 14 of of ADP ajst-20796 95 15 overlap overlap NOUN ajst-20796 95 16 rate rate NOUN ajst-20796 95 17 between between ADP ajst-20796 95 18 10 10 NUM ajst-20796 95 19 % % NOUN ajst-20796 95 20 and and CCONJ ajst-20796 95 21 20 20 NUM ajst-20796 95 22 % % NOUN ajst-20796 95 23 . . PUNCT ajst-20796 96 1 it it PRON ajst-20796 96 2 can can AUX ajst-20796 96 3 be be AUX ajst-20796 96 4 seen see VERB ajst-20796 96 5 from from ADP ajst-20796 96 6 problem problem NOUN ajst-20796 96 7 2 2 NUM ajst-20796 96 8 that that PRON ajst-20796 96 9 a a DET ajst-20796 96 10 route route NOUN ajst-20796 96 11 can can AUX ajst-20796 96 12 be be AUX ajst-20796 96 13 determined determine VERB ajst-20796 96 14 by by ADP ajst-20796 96 15 the the DET ajst-20796 96 16 angle angle NOUN ajst-20796 96 17 𝛽 𝛽 NOUN ajst-20796 96 18 projected project VERB ajst-20796 96 19 on on ADP ajst-20796 96 20 the the DET ajst-20796 96 21 horizontal horizontal ADJ ajst-20796 96 22 plane plane NOUN ajst-20796 96 23 between between ADP ajst-20796 96 24 the the DET ajst-20796 96 25 direction direction NOUN ajst-20796 96 26 of of ADP ajst-20796 96 27 the the DET ajst-20796 96 28 survey survey NOUN ajst-20796 96 29 line line NOUN ajst-20796 96 30 and and CCONJ ajst-20796 96 31 the the DET ajst-20796 96 32 normal normal ADJ ajst-20796 96 33 direction direction NOUN ajst-20796 96 34 of of ADP ajst-20796 96 35 the the DET ajst-20796 96 36 submarine submarine NOUN ajst-20796 96 37 slope slope NOUN ajst-20796 96 38 ( ( PUNCT ajst-20796 96 39 hereinafter hereinafter NOUN ajst-20796 96 40 referred refer VERB ajst-20796 96 41 to to ADP ajst-20796 96 42 as as ADP ajst-20796 96 43 the the DET ajst-20796 96 44 route route NOUN ajst-20796 96 45 direction direction NOUN ajst-20796 96 46 ) ) PUNCT ajst-20796 96 47 and and CCONJ ajst-20796 96 48 the the DET ajst-20796 96 49 interval interval NOUN ajst-20796 96 50 d d PROPN ajst-20796 96 51 of of ADP ajst-20796 96 52 the the DET ajst-20796 96 53 route route NOUN ajst-20796 96 54 . . PUNCT ajst-20796 97 1 the the DET ajst-20796 97 2 slope slope NOUN ajst-20796 97 3 is be AUX ajst-20796 97 4 1.5 1.5 NUM ajst-20796 97 5 Β° Β° NUM ajst-20796 97 6 and and CCONJ ajst-20796 97 7 the the DET ajst-20796 97 8 opening opening NOUN ajst-20796 97 9 angle angle NOUN ajst-20796 97 10 of of ADP ajst-20796 97 11 the the DET ajst-20796 97 12 multi multi ADJ ajst-20796 97 13 - - ADJ ajst-20796 97 14 beam beam ADJ ajst-20796 97 15 transducer transducer NOUN ajst-20796 97 16 is be AUX ajst-20796 97 17 120 120 NUM ajst-20796 97 18 Β° Β° NOUN ajst-20796 97 19 , , PUNCT ajst-20796 97 20 which which PRON ajst-20796 97 21 is be AUX ajst-20796 97 22 the the DET ajst-20796 97 23 same same ADJ ajst-20796 97 24 as as ADP ajst-20796 97 25 problem problem NOUN ajst-20796 97 26 2 2 NUM ajst-20796 97 27 . . PUNCT ajst-20796 98 1 therefore therefore ADV ajst-20796 98 2 , , PUNCT ajst-20796 98 3 the the DET ajst-20796 98 4 problem problem NOUN ajst-20796 98 5 is be AUX ajst-20796 98 6 simplified simplify VERB ajst-20796 98 7 to to ADP ajst-20796 98 8 the the DET ajst-20796 98 9 solution solution NOUN ajst-20796 98 10 optimization optimization NOUN ajst-20796 98 11 problem problem NOUN ajst-20796 98 12 of of ADP ajst-20796 98 13 routes route NOUN ajst-20796 98 14 in in ADP ajst-20796 98 15 problem problem NOUN ajst-20796 98 16 2 2 NUM ajst-20796 98 17 . . PUNCT ajst-20796 98 18 by by ADP ajst-20796 98 19 searching search VERB ajst-20796 98 20 the the DET ajst-20796 98 21 data datum NOUN ajst-20796 98 22 , , PUNCT ajst-20796 98 23 we we PRON ajst-20796 98 24 learned learn VERB ajst-20796 98 25 that that SCONJ ajst-20796 98 26 the the DET ajst-20796 98 27 survey survey NOUN ajst-20796 98 28 lines line NOUN ajst-20796 98 29 need need VERB ajst-20796 98 30 to to PART ajst-20796 98 31 be be AUX ajst-20796 98 32 arranged arrange VERB ajst-20796 98 33 in in ADP ajst-20796 98 34 parallel parallel NOUN ajst-20796 98 35 in in ADP ajst-20796 98 36 order order NOUN ajst-20796 98 37 to to PART ajst-20796 98 38 ensure ensure VERB ajst-20796 98 39 that that SCONJ ajst-20796 98 40 a a DET ajst-20796 98 41 set set NOUN ajst-20796 98 42 of of ADP ajst-20796 98 43 survey survey NOUN ajst-20796 98 44 lines line NOUN ajst-20796 98 45 can can AUX ajst-20796 98 46 scan scan VERB ajst-20796 98 47 the the DET ajst-20796 98 48 entire entire ADJ ajst-20796 98 49 sea sea NOUN ajst-20796 98 50 area area NOUN ajst-20796 98 51 as as ADV ajst-20796 98 52 fully fully ADV ajst-20796 98 53 as as ADP ajst-20796 98 54 possible possible ADJ ajst-20796 98 55 [ [ X ajst-20796 98 56 9 9 NUM ajst-20796 98 57 ] ] PUNCT ajst-20796 98 58 . . PUNCT ajst-20796 99 1 ( ( PUNCT ajst-20796 99 2 1)the 1)the DET ajst-20796 99 3 total total ADJ ajst-20796 99 4 length length NOUN ajst-20796 99 5 of of ADP ajst-20796 99 6 the the DET ajst-20796 99 7 survey survey NOUN ajst-20796 99 8 lines line NOUN ajst-20796 99 9 is be AUX ajst-20796 99 10 required require VERB ajst-20796 99 11 to to PART ajst-20796 99 12 be be AUX ajst-20796 99 13 the the DET ajst-20796 99 14 shortest short ADJ ajst-20796 99 15 . . PUNCT ajst-20796 100 1 when when SCONJ ajst-20796 100 2 the the DET ajst-20796 100 3 course course NOUN ajst-20796 100 4 direction direction NOUN ajst-20796 100 5 is be AUX ajst-20796 100 6 fixed fix VERB ajst-20796 100 7 , , PUNCT ajst-20796 100 8 the the DET ajst-20796 100 9 survey survey NOUN ajst-20796 100 10 line line NOUN ajst-20796 100 11 interval interval NOUN ajst-20796 100 12 d d NOUN ajst-20796 100 13 is be AUX ajst-20796 100 14 as as ADV ajst-20796 100 15 large large ADJ ajst-20796 100 16 as as ADP ajst-20796 100 17 possible possible ADJ ajst-20796 100 18 , , PUNCT ajst-20796 100 19 and and CCONJ ajst-20796 100 20 the the DET ajst-20796 100 21 number number NOUN ajst-20796 100 22 of of ADP ajst-20796 100 23 survey survey NOUN ajst-20796 100 24 lines line NOUN ajst-20796 100 25 is be AUX ajst-20796 100 26 as as ADV ajst-20796 100 27 small small ADJ ajst-20796 100 28 as as ADP ajst-20796 100 29 possible possible ADJ ajst-20796 100 30 . . PUNCT ajst-20796 101 1 therefore therefore ADV ajst-20796 101 2 , , PUNCT ajst-20796 101 3 the the DET ajst-20796 101 4 overlap overlap NOUN ajst-20796 101 5 rate rate NOUN ajst-20796 101 6 of of ADP ajst-20796 101 7 survey survey NOUN ajst-20796 101 8 lines line NOUN ajst-20796 101 9 at at ADP ajst-20796 101 10 the the DET ajst-20796 101 11 shallowest shallow ADJ ajst-20796 101 12 part part NOUN ajst-20796 101 13 of of ADP ajst-20796 101 14 the the DET ajst-20796 101 15 sea sea NOUN ajst-20796 101 16 water water NOUN ajst-20796 101 17 is be AUX ajst-20796 101 18 at at ADV ajst-20796 101 19 least least ADV ajst-20796 101 20 10 10 NUM ajst-20796 101 21 % % NOUN ajst-20796 101 22 , , PUNCT ajst-20796 101 23 and and CCONJ ajst-20796 101 24 the the DET ajst-20796 101 25 overlap overlap NOUN ajst-20796 101 26 rate rate NOUN ajst-20796 101 27 at at ADP ajst-20796 101 28 the the DET ajst-20796 101 29 deepest deep ADJ ajst-20796 101 30 part part NOUN ajst-20796 101 31 of of ADP ajst-20796 101 32 the the DET ajst-20796 101 33 sea sea NOUN ajst-20796 101 34 water water NOUN ajst-20796 101 35 is be AUX ajst-20796 101 36 not not PART ajst-20796 101 37 more more ADJ ajst-20796 101 38 than than ADP ajst-20796 101 39 20%;(2 20%;(2 NUM ajst-20796 101 40 ) ) PUNCT ajst-20796 101 41 when when SCONJ ajst-20796 101 42 there there PRON ajst-20796 101 43 is be VERB ajst-20796 101 44 overlap overlap NOUN ajst-20796 101 45 between between ADP ajst-20796 101 46 each each DET ajst-20796 101 47 line line NOUN ajst-20796 101 48 , , PUNCT ajst-20796 101 49 it it PRON ajst-20796 101 50 will will AUX ajst-20796 101 51 definitely definitely ADV ajst-20796 101 52 meet meet VERB ajst-20796 101 53 the the DET ajst-20796 101 54 complete complete ADJ ajst-20796 101 55 coverage coverage NOUN ajst-20796 101 56 of of ADP ajst-20796 101 57 the the DET ajst-20796 101 58 sea sea NOUN ajst-20796 101 59 area area NOUN ajst-20796 101 60 between between ADP ajst-20796 101 61 the the DET ajst-20796 101 62 survey survey NOUN ajst-20796 101 63 lines line NOUN ajst-20796 101 64 , , PUNCT ajst-20796 101 65 we we PRON ajst-20796 101 66 only only ADV ajst-20796 101 67 need need VERB ajst-20796 101 68 to to PART ajst-20796 101 69 consider consider VERB ajst-20796 101 70 the the DET ajst-20796 101 71 interval interval NOUN ajst-20796 101 72 from from ADP ajst-20796 101 73 the the DET ajst-20796 101 74 most most ADV ajst-20796 101 75 marginal marginal ADJ ajst-20796 101 76 survey survey NOUN ajst-20796 101 77 line line NOUN ajst-20796 101 78 to to ADP ajst-20796 101 79 the the DET ajst-20796 101 80 edge edge NOUN ajst-20796 101 81 of of ADP ajst-20796 101 82 the the DET ajst-20796 101 83 sea sea NOUN ajst-20796 101 84 area area NOUN ajst-20796 101 85 𝑑 𝑑 X ajst-20796 101 86 . . PUNCT ajst-20796 102 1 when when SCONJ ajst-20796 102 2 the the DET ajst-20796 102 3 first first ADJ ajst-20796 102 4 survey survey NOUN ajst-20796 102 5 line line NOUN ajst-20796 102 6 is be AUX ajst-20796 102 7 determined determine VERB ajst-20796 102 8 , , PUNCT ajst-20796 102 9 the the DET ajst-20796 102 10 second second ADJ ajst-20796 102 11 survey survey NOUN ajst-20796 102 12 line line NOUN ajst-20796 102 13 will will AUX ajst-20796 102 14 be be AUX ajst-20796 102 15 determined determine VERB ajst-20796 102 16 solely solely ADV ajst-20796 102 17 by by ADP ajst-20796 102 18 the the DET ajst-20796 102 19 first first ADJ ajst-20796 102 20 survey survey NOUN ajst-20796 102 21 line line NOUN ajst-20796 102 22 according accord VERB ajst-20796 102 23 to to ADP ajst-20796 102 24 the the DET ajst-20796 102 25 maximum maximum ADJ ajst-20796 102 26 interval interval NOUN ajst-20796 102 27 , , PUNCT ajst-20796 102 28 and and CCONJ ajst-20796 102 29 so so ADV ajst-20796 102 30 on on ADV ajst-20796 102 31 until until SCONJ ajst-20796 102 32 all all DET ajst-20796 102 33 survey survey NOUN ajst-20796 102 34 lines line NOUN ajst-20796 102 35 have have AUX ajst-20796 102 36 scanned scan VERB ajst-20796 102 37 the the DET ajst-20796 102 38 entire entire ADJ ajst-20796 102 39 sea sea NOUN ajst-20796 102 40 area[10 area[10 NOUN ajst-20796 102 41 ] ] PUNCT ajst-20796 102 42 . . PUNCT ajst-20796 103 1 step1 step1 PROPN ajst-20796 103 2 . . PUNCT ajst-20796 104 1 solve solve VERB ajst-20796 104 2 for for ADP ajst-20796 104 3 the the DET ajst-20796 104 4 initial initial ADJ ajst-20796 104 5 interval interval NOUN ajst-20796 104 6 𝑑 𝑑 PROPN ajst-20796 104 7 115 115 NUM ajst-20796 104 8 figure figure NOUN ajst-20796 104 9 3 3 NUM ajst-20796 104 10 . . PUNCT ajst-20796 104 11 figure figure NOUN ajst-20796 104 12 3 3 NUM ajst-20796 104 13 shows show VERB ajst-20796 104 14 the the DET ajst-20796 104 15 side side NOUN ajst-20796 104 16 view view NOUN ajst-20796 104 17 perpendicular perpendicular NOUN ajst-20796 104 18 to to ADP ajst-20796 104 19 the the DET ajst-20796 104 20 direction direction NOUN ajst-20796 104 21 of of ADP ajst-20796 104 22 the the DET ajst-20796 104 23 survey survey NOUN ajst-20796 104 24 line line NOUN ajst-20796 104 25 and and CCONJ ajst-20796 104 26 passing pass VERB ajst-20796 104 27 the the DET ajst-20796 104 28 edge edge NOUN ajst-20796 104 29 point point NOUN ajst-20796 104 30 c. c. NOUN ajst-20796 104 31 as as SCONJ ajst-20796 104 32 shown show VERB ajst-20796 104 33 in in ADP ajst-20796 104 34 figure figure NOUN ajst-20796 104 35 3 3 NUM ajst-20796 104 36 , , PUNCT ajst-20796 104 37 when when SCONJ ajst-20796 104 38 the the DET ajst-20796 104 39 scanning scanning NOUN ajst-20796 104 40 area area NOUN ajst-20796 104 41 of of ADP ajst-20796 104 42 the the DET ajst-20796 104 43 edge edge NOUN ajst-20796 104 44 survey survey NOUN ajst-20796 104 45 line line NOUN ajst-20796 104 46 passes pass VERB ajst-20796 104 47 the the DET ajst-20796 104 48 most most ADJ ajst-20796 104 49 edge edge NOUN ajst-20796 104 50 point point NOUN ajst-20796 104 51 c c NOUN ajst-20796 104 52 , , PUNCT ajst-20796 104 53 the the DET ajst-20796 104 54 entire entire ADJ ajst-20796 104 55 scanning scanning NOUN ajst-20796 104 56 of of ADP ajst-20796 104 57 the the DET ajst-20796 104 58 edge edge NOUN ajst-20796 104 59 area area NOUN ajst-20796 104 60 can can AUX ajst-20796 104 61 be be AUX ajst-20796 104 62 guaranteed guarantee VERB ajst-20796 104 63 . . PUNCT ajst-20796 105 1 to to PART ajst-20796 105 2 maximize maximize VERB ajst-20796 105 3 the the DET ajst-20796 105 4 spacing spacing NOUN ajst-20796 105 5 𝑑 𝑑 NOUN ajst-20796 105 6 , , PUNCT ajst-20796 105 7 we we PRON ajst-20796 105 8 make make VERB ajst-20796 105 9 the the DET ajst-20796 105 10 𝑙 𝑙 ADV ajst-20796 105 11 obscure obscure ADJ ajst-20796 105 12 right right ADJ ajst-20796 105 13 side side NOUN ajst-20796 105 14 scan scan AUX ajst-20796 105 15 width width VERB ajst-20796 105 16 𝑀 𝑀 ADP ajst-20796 105 17 obscure obscure ADJ ajst-20796 105 18 exactly exactly ADV ajst-20796 105 19 to to ADP ajst-20796 105 20 the the DET ajst-20796 105 21 point point NOUN ajst-20796 105 22 c c NOUN ajst-20796 105 23 on on ADP ajst-20796 105 24 the the DET ajst-20796 105 25 edge edge NOUN ajst-20796 105 26 , , PUNCT ajst-20796 105 27 where where SCONJ ajst-20796 105 28 the the DET ajst-20796 105 29 deepest deep ADJ ajst-20796 105 30 sea sea NOUN ajst-20796 105 31 water water NOUN ajst-20796 105 32 is be AUX ajst-20796 105 33 β„Ž β„Ž PROPN ajst-20796 105 34 , , PUNCT ajst-20796 105 35 there there PRON ajst-20796 105 36 is be VERB ajst-20796 105 37 step2 step2 PROPN ajst-20796 105 38 . . PROPN ajst-20796 105 39 establish establish VERB ajst-20796 105 40 a a DET ajst-20796 105 41 plane plane NOUN ajst-20796 105 42 rectangular rectangular ADJ ajst-20796 105 43 coordinate coordinate NOUN ajst-20796 105 44 system system NOUN ajst-20796 105 45 for for ADP ajst-20796 105 46 the the DET ajst-20796 105 47 top top ADJ ajst-20796 105 48 view view NOUN ajst-20796 105 49 of of ADP ajst-20796 105 50 the the DET ajst-20796 105 51 entire entire ADJ ajst-20796 105 52 sea sea NOUN ajst-20796 105 53 area area NOUN ajst-20796 105 54 figure figure NOUN ajst-20796 105 55 4 4 NUM ajst-20796 105 56 as as SCONJ ajst-20796 105 57 shown show VERB ajst-20796 105 58 in in ADP ajst-20796 105 59 fig fig NOUN ajst-20796 105 60 . . PUNCT ajst-20796 106 1 4 4 NUM ajst-20796 106 2 , , PUNCT ajst-20796 106 3 the the DET ajst-20796 106 4 positive positive ADJ ajst-20796 106 5 direction direction NOUN ajst-20796 106 6 of of ADP ajst-20796 106 7 the the DET ajst-20796 106 8 x x NOUN ajst-20796 106 9 - - NOUN ajst-20796 106 10 axis axis NOUN ajst-20796 106 11 is be AUX ajst-20796 106 12 set set VERB ajst-20796 106 13 to to PART ajst-20796 106 14 be be AUX ajst-20796 106 15 westward westward ADV ajst-20796 106 16 . . PUNCT ajst-20796 107 1 according accord VERB ajst-20796 107 2 to to ADP ajst-20796 107 3 the the DET ajst-20796 107 4 meaning meaning NOUN ajst-20796 107 5 of of ADP ajst-20796 107 6 the the DET ajst-20796 107 7 question question NOUN ajst-20796 107 8 , , PUNCT ajst-20796 107 9 in in ADP ajst-20796 107 10 the the DET ajst-20796 107 11 rectangular rectangular ADJ ajst-20796 107 12 sea sea NOUN ajst-20796 107 13 area area NOUN ajst-20796 107 14 2 2 NUM ajst-20796 107 15 nautical nautical ADJ ajst-20796 107 16 miles mile NOUN ajst-20796 107 17 long long ADV ajst-20796 107 18 from from ADP ajst-20796 107 19 north north NOUN ajst-20796 107 20 to to ADP ajst-20796 107 21 south south NOUN ajst-20796 107 22 and and CCONJ ajst-20796 107 23 4 4 NUM ajst-20796 107 24 nautical nautical ADJ ajst-20796 107 25 miles mile NOUN ajst-20796 107 26 wide wide ADJ ajst-20796 107 27 from from ADP ajst-20796 107 28 east east PROPN ajst-20796 107 29 to to ADP ajst-20796 107 30 west west PROPN ajst-20796 107 31 , , PUNCT ajst-20796 107 32 the the DET ajst-20796 107 33 west west NOUN ajst-20796 107 34 is be AUX ajst-20796 107 35 deep deep ADJ ajst-20796 107 36 and and CCONJ ajst-20796 107 37 the the DET ajst-20796 107 38 east east NOUN ajst-20796 107 39 is be AUX ajst-20796 107 40 shallow shallow ADJ ajst-20796 107 41 . . PUNCT ajst-20796 108 1 the the DET ajst-20796 108 2 angle angle NOUN ajst-20796 108 3 between between ADP ajst-20796 108 4 the the DET ajst-20796 108 5 axis axis NOUN ajst-20796 108 6 of of ADP ajst-20796 108 7 the the DET ajst-20796 108 8 straight straight ADJ ajst-20796 108 9 line line NOUN ajst-20796 108 10 𝑙 𝑙 PROPN ajst-20796 108 11 and and CCONJ ajst-20796 108 12 π‘₯ π‘₯ PROPN ajst-20796 108 13 is be AUX ajst-20796 108 14 the the DET ajst-20796 108 15 included include VERB ajst-20796 108 16 angle angle NOUN ajst-20796 108 17 of of ADP ajst-20796 108 18 the the DET ajst-20796 108 19 horizontal horizontal ADJ ajst-20796 108 20 projection projection NOUN ajst-20796 108 21 of of ADP ajst-20796 108 22 the the DET ajst-20796 108 23 direction direction NOUN ajst-20796 108 24 of of ADP ajst-20796 108 25 the the DET ajst-20796 108 26 survey survey NOUN ajst-20796 108 27 line line NOUN ajst-20796 108 28 and and CCONJ ajst-20796 108 29 the the DET ajst-20796 108 30 normal normal ADJ ajst-20796 108 31 direction direction NOUN ajst-20796 108 32 of of ADP ajst-20796 108 33 the the DET ajst-20796 108 34 submarine submarine NOUN ajst-20796 108 35 slope slope NOUN ajst-20796 108 36 , , PUNCT ajst-20796 108 37 𝛽 𝛽 NOUN ajst-20796 108 38 , , PUNCT ajst-20796 108 39 and and CCONJ ajst-20796 108 40 the the DET ajst-20796 108 41 angle angle NOUN ajst-20796 108 42 𝛽 𝛽 NOUN ajst-20796 108 43 is be AUX ajst-20796 108 44 arbitrary arbitrary ADJ ajst-20796 108 45 . . PUNCT ajst-20796 109 1 step3 step3 PROPN ajst-20796 109 2 . . PUNCT ajst-20796 110 1 solve solve VERB ajst-20796 110 2 the the DET ajst-20796 110 3 upper upper ADJ ajst-20796 110 4 intersection intersection NOUN ajst-20796 110 5 point point NOUN ajst-20796 110 6 𝐴 𝐴 PROPN ajst-20796 110 7 and and CCONJ ajst-20796 110 8 the the DET ajst-20796 110 9 lower low ADJ ajst-20796 110 10 intersection intersection NOUN ajst-20796 110 11 point point NOUN ajst-20796 110 12 𝐴 𝐴 PROPN ajst-20796 110 13 of of ADP ajst-20796 110 14 the the DET ajst-20796 110 15 survey survey NOUN ajst-20796 110 16 line line NOUN ajst-20796 110 17 𝑙 𝑙 X ajst-20796 110 18 and and CCONJ ajst-20796 110 19 the the DET ajst-20796 110 20 sea sea NOUN ajst-20796 110 21 area area NOUN ajst-20796 110 22 to to PART ajst-20796 110 23 be be AUX ajst-20796 110 24 measured measure VERB ajst-20796 110 25 we we PRON ajst-20796 110 26 set set VERB ajst-20796 110 27 intersection intersection NOUN ajst-20796 110 28 𝐴 𝐴 PROPN ajst-20796 110 29 π‘₯ π‘₯ PROPN ajst-20796 110 30 , , PUNCT ajst-20796 110 31 𝑦 𝑦 NOUN ajst-20796 110 32 , , PUNCT ajst-20796 110 33 𝐡 𝐡 PROPN ajst-20796 110 34 π‘₯ π‘₯ PROPN ajst-20796 110 35 , , PUNCT ajst-20796 110 36 𝑦 𝑦 NOUN ajst-20796 110 37 when when SCONJ ajst-20796 110 38 the the DET ajst-20796 110 39 initial initial ADJ ajst-20796 110 40 interval interval NOUN ajst-20796 110 41 grey grey NOUN ajst-20796 110 42 is be AUX ajst-20796 110 43 determined determine VERB ajst-20796 110 44 , , PUNCT ajst-20796 110 45 then then ADV ajst-20796 110 46 you you PRON ajst-20796 110 47 can can AUX ajst-20796 110 48 write write VERB ajst-20796 110 49 in in ADP ajst-20796 110 50 figure figure NOUN ajst-20796 110 51 4 4 NUM ajst-20796 110 52 𝑙 𝑙 NOUN ajst-20796 110 53 dark dark NOUN ajst-20796 110 54 in in ADP ajst-20796 110 55 the the DET ajst-20796 110 56 coordinate coordinate NOUN ajst-20796 110 57 system system NOUN ajst-20796 110 58 for for ADP ajst-20796 110 59 the the DET ajst-20796 110 60 linear linear ADJ ajst-20796 110 61 equation equation NOUN ajst-20796 110 62 π‘Œ π‘Œ PROPN ajst-20796 110 63 π‘‘π‘Žπ‘›π›½ π‘‘π‘Žπ‘›π›½ AUX ajst-20796 110 64 βˆ™ βˆ™ VERB ajst-20796 110 65 π‘₯ π‘₯ ADP ajst-20796 110 66 π‘₯ π‘₯ PROPN ajst-20796 110 67 ( ( PUNCT ajst-20796 110 68 21 21 NUM ajst-20796 110 69 ) ) PUNCT ajst-20796 110 70 among among ADP ajst-20796 110 71 them they PRON ajst-20796 110 72 , , PUNCT ajst-20796 110 73 the the DET ajst-20796 110 74 equation equation NOUN ajst-20796 110 75 for for ADP ajst-20796 110 76 line line NOUN ajst-20796 110 77 bc bc PROPN ajst-20796 110 78 is be AUX ajst-20796 110 79 the the DET ajst-20796 110 80 equation equation NOUN ajst-20796 110 81 of of ADP ajst-20796 110 82 line line NOUN ajst-20796 110 83 ab ab PROPN ajst-20796 110 84 is be AUX ajst-20796 110 85 if if SCONJ ajst-20796 110 86 the the DET ajst-20796 110 87 equations equation NOUN ajst-20796 110 88 ( ( PUNCT ajst-20796 110 89 18 18 NUM ajst-20796 110 90 ) ) PUNCT ajst-20796 110 91 and and CCONJ ajst-20796 110 92 ( ( PUNCT ajst-20796 110 93 20 20 NUM ajst-20796 110 94 ) ) PUNCT ajst-20796 110 95 are be AUX ajst-20796 110 96 combined combine VERB ajst-20796 110 97 , , PUNCT ajst-20796 110 98 a a DET ajst-20796 110 99 point point NOUN ajst-20796 110 100 coordinate coordinate NOUN ajst-20796 110 101 will will AUX ajst-20796 110 102 be be AUX ajst-20796 110 103 obtained obtain VERB ajst-20796 110 104 , , PUNCT ajst-20796 110 105 set set VERB ajst-20796 110 106 as as ADP ajst-20796 110 107 𝐴 𝐴 PROPN ajst-20796 110 108 ; ; PUNCT ajst-20796 110 109 if if SCONJ ajst-20796 110 110 the the DET ajst-20796 110 111 equations equation NOUN ajst-20796 110 112 ( ( PUNCT ajst-20796 110 113 18 18 NUM ajst-20796 110 114 ) ) PUNCT ajst-20796 110 115 and and CCONJ ajst-20796 110 116 ( ( PUNCT ajst-20796 110 117 21 21 NUM ajst-20796 110 118 ) ) PUNCT ajst-20796 110 119 are be AUX ajst-20796 110 120 simultaneously simultaneously ADV ajst-20796 110 121 combined combine VERB ajst-20796 110 122 , , PUNCT ajst-20796 110 123 a a DET ajst-20796 110 124 point point NOUN ajst-20796 110 125 coordinate coordinate NOUN ajst-20796 110 126 will will AUX ajst-20796 110 127 be be AUX ajst-20796 110 128 obtained obtain VERB ajst-20796 110 129 , , PUNCT ajst-20796 110 130 set set VERB ajst-20796 110 131 as as ADP ajst-20796 110 132 𝐴 𝐴 PROPN ajst-20796 110 133 , , PUNCT ajst-20796 110 134 which which PRON ajst-20796 110 135 is be AUX ajst-20796 110 136 obtained obtain VERB ajst-20796 110 137 by by ADP ajst-20796 110 138 comparing compare VERB ajst-20796 110 139 the the DET ajst-20796 110 140 horizontal horizontal ADJ ajst-20796 110 141 coordinates coordinate NOUN ajst-20796 110 142 of of ADP ajst-20796 110 143 𝐴 𝐴 PROPN ajst-20796 110 144 and and CCONJ ajst-20796 110 145 𝐴 𝐴 PROPN ajst-20796 110 146 π‘šπ‘–π‘› π‘šπ‘–π‘› NOUN ajst-20796 110 147 π‘₯ π‘₯ NOUN ajst-20796 110 148 , , PUNCT ajst-20796 110 149 π‘₯ π‘₯ PROPN ajst-20796 110 150 ( ( PUNCT ajst-20796 110 151 25 25 NUM ajst-20796 110 152 ) ) PUNCT ajst-20796 110 153 𝐿 𝐿 NOUN ajst-20796 110 154 π‘₯ π‘₯ NOUN ajst-20796 110 155 π‘₯ π‘₯ X ajst-20796 110 156 𝑦 𝑦 NUM ajst-20796 110 157 𝑦 𝑦 X ajst-20796 110 158 ( ( PUNCT ajst-20796 110 159 26 26 NUM ajst-20796 110 160 ) ) PUNCT ajst-20796 110 161 then then ADV ajst-20796 110 162 the the DET ajst-20796 110 163 upper upper ADJ ajst-20796 110 164 intersection intersection NOUN ajst-20796 110 165 is be AUX ajst-20796 110 166 the the DET ajst-20796 110 167 coordinate coordinate NOUN ajst-20796 110 168 of of ADP ajst-20796 110 169 the the DET ajst-20796 110 170 point point NOUN ajst-20796 110 171 with with ADP ajst-20796 110 172 the the DET ajst-20796 110 173 smallest small ADJ ajst-20796 110 174 horizontal horizontal ADJ ajst-20796 110 175 coordinate coordinate NOUN ajst-20796 110 176 among among ADP ajst-20796 110 177 the the DET ajst-20796 110 178 two two NUM ajst-20796 110 179 points point NOUN ajst-20796 110 180 , , PUNCT ajst-20796 110 181 and and CCONJ ajst-20796 110 182 the the DET ajst-20796 110 183 upper upper ADJ ajst-20796 110 184 intersection intersection NOUN ajst-20796 110 185 𝐴 𝐴 PROPN ajst-20796 110 186 is be AUX ajst-20796 110 187 obtained obtain VERB ajst-20796 110 188 . . PUNCT ajst-20796 111 1 similarly similarly ADV ajst-20796 111 2 , , PUNCT ajst-20796 111 3 write write VERB ajst-20796 111 4 the the DET ajst-20796 111 5 equation equation NOUN ajst-20796 111 6 of of ADP ajst-20796 111 7 a a DET ajst-20796 111 8 line line NOUN ajst-20796 111 9 ao ao NOUN ajst-20796 111 10 and and CCONJ ajst-20796 111 11 a a DET ajst-20796 111 12 line line NOUN ajst-20796 111 13 oc oc NOUN ajst-20796 111 14 to to PART ajst-20796 111 15 obtain obtain VERB ajst-20796 111 16 the the DET ajst-20796 111 17 coordinates coordinate NOUN ajst-20796 111 18 of of ADP ajst-20796 111 19 the the DET ajst-20796 111 20 lower low ADJ ajst-20796 111 21 intersection intersection NOUN ajst-20796 111 22 , , PUNCT ajst-20796 111 23 then then ADV ajst-20796 111 24 the the DET ajst-20796 111 25 length length NOUN ajst-20796 111 26 of of ADP ajst-20796 111 27 the the DET ajst-20796 111 28 measurement measurement NOUN ajst-20796 111 29 line line NOUN ajst-20796 111 30 is be AUX ajst-20796 111 31 the the DET ajst-20796 111 32 euclidean euclidean ADJ ajst-20796 111 33 distance distance NOUN ajst-20796 111 34 between between ADP ajst-20796 111 35 the the DET ajst-20796 111 36 upper upper ADJ ajst-20796 111 37 and and CCONJ ajst-20796 111 38 lower low ADJ ajst-20796 111 39 intersection intersection NOUN ajst-20796 111 40 points point NOUN ajst-20796 111 41 , , PUNCT ajst-20796 111 42 that that ADV ajst-20796 111 43 is is ADV ajst-20796 111 44 , , PUNCT ajst-20796 111 45 write write VERB ajst-20796 111 46 the the DET ajst-20796 111 47 equation equation NOUN ajst-20796 111 48 of of ADP ajst-20796 111 49 a a DET ajst-20796 111 50 line line NOUN ajst-20796 111 51 ao ao NOUN ajst-20796 111 52 and and CCONJ ajst-20796 111 53 a a DET ajst-20796 111 54 line line NOUN ajst-20796 111 55 oc oc NOUN ajst-20796 111 56 to to PART ajst-20796 111 57 obtain obtain VERB ajst-20796 111 58 the the DET ajst-20796 111 59 coordinates coordinate NOUN ajst-20796 111 60 of of ADP ajst-20796 111 61 the the DET ajst-20796 111 62 lower low ADJ ajst-20796 111 63 intersection intersection NOUN ajst-20796 111 64 points point NOUN ajst-20796 111 65 , , PUNCT ajst-20796 111 66 then then ADV ajst-20796 111 67 the the DET ajst-20796 111 68 length length NOUN ajst-20796 111 69 of of ADP ajst-20796 111 70 the the DET ajst-20796 111 71 measurement measurement NOUN ajst-20796 111 72 line line NOUN ajst-20796 111 73 is be AUX ajst-20796 111 74 the the DET ajst-20796 111 75 euclidean euclidean ADJ ajst-20796 111 76 distance distance NOUN ajst-20796 111 77 between between ADP ajst-20796 111 78 the the DET ajst-20796 111 79 upper upper ADJ ajst-20796 111 80 and and CCONJ ajst-20796 111 81 lower low ADJ ajst-20796 111 82 intersection intersection NOUN ajst-20796 111 83 points point NOUN ajst-20796 111 84 , , PUNCT ajst-20796 111 85 that that PRON ajst-20796 111 86 is be AUX ajst-20796 111 87 step4 step4 PROPN ajst-20796 111 88 . . PUNCT ajst-20796 112 1 according accord VERB ajst-20796 112 2 to to ADP ajst-20796 112 3 the the DET ajst-20796 112 4 measurement measurement NOUN ajst-20796 112 5 line line NOUN ajst-20796 112 6 𝑙 𝑙 DET ajst-20796 112 7 obscurity obscurity NOUN ajst-20796 112 8 and and CCONJ ajst-20796 112 9 constraints constraint NOUN ajst-20796 112 10 , , PUNCT ajst-20796 112 11 find find VERB ajst-20796 112 12 out out ADP ajst-20796 112 13 the the DET ajst-20796 112 14 interval interval NOUN ajst-20796 112 15 𝑑 𝑑 NOUN ajst-20796 112 16 with with ADP ajst-20796 112 17 the the DET ajst-20796 112 18 next next ADJ ajst-20796 112 19 measurement measurement NOUN ajst-20796 112 20 line line NOUN ajst-20796 112 21 from from ADP ajst-20796 112 22 the the DET ajst-20796 112 23 overlap overlap NOUN ajst-20796 112 24 rate rate NOUN ajst-20796 112 25 formula formula NOUN ajst-20796 112 26 ( ( PUNCT ajst-20796 112 27 13 13 NUM ajst-20796 112 28 ) ) PUNCT ajst-20796 112 29 obtained obtain VERB ajst-20796 112 30 in in ADP ajst-20796 112 31 question question NOUN ajst-20796 112 32 1 1 NUM ajst-20796 112 33 , , PUNCT ajst-20796 112 34 the the DET ajst-20796 112 35 relationship relationship NOUN ajst-20796 112 36 between between ADP ajst-20796 112 37 interval interval NOUN ajst-20796 112 38 d d NOUN ajst-20796 112 39 and and CCONJ ajst-20796 112 40 overlap overlap NOUN ajst-20796 112 41 rate rate NOUN ajst-20796 112 42 πœ‚ πœ‚ NOUN ajst-20796 112 43 is be AUX ajst-20796 112 44 𝑑 𝑑 PROPN ajst-20796 112 45 2 2 NUM ajst-20796 112 46 βˆ™ βˆ™ PROPN ajst-20796 112 47 1 1 NUM ajst-20796 112 48 πœ‚ πœ‚ NOUN ajst-20796 112 49 βˆ™ βˆ™ PROPN ajst-20796 112 50 𝐷 𝐷 PROPN ajst-20796 112 51 βˆ™ βˆ™ PROPN ajst-20796 112 52 sin sin NOUN ajst-20796 112 53 πœƒ/2 πœƒ/2 PUNCT ajst-20796 112 54 βˆ™ βˆ™ PROPN ajst-20796 112 55 π‘π‘œπ‘ π›Ό π‘π‘œπ‘ π›Ό NOUN ajst-20796 112 56 sin sin NOUN ajst-20796 112 57 90 90 NUM ajst-20796 112 58 Β° Β° NUM ajst-20796 112 59 𝛼 𝛼 SYM ajst-20796 112 60 πœƒ/2 πœƒ/2 PUNCT ajst-20796 112 61 ( ( PUNCT ajst-20796 112 62 27 27 NUM ajst-20796 112 63 ) ) PUNCT ajst-20796 112 64 here here ADV ajst-20796 112 65 is be AUX ajst-20796 112 66 the the DET ajst-20796 112 67 hypothetical hypothetical ADJ ajst-20796 112 68 slope slope NOUN ajst-20796 112 69 angle angle NOUN ajst-20796 112 70 𝛼 𝛼 VERB ajst-20796 112 71 in in ADP ajst-20796 112 72 problem problem NOUN ajst-20796 112 73 2 2 NUM ajst-20796 112 74 , , PUNCT ajst-20796 112 75 and and CCONJ ajst-20796 112 76 π‘‘π‘Žπ‘›π›Ό π‘‘π‘Žπ‘›π›Ό NOUN ajst-20796 112 77 π‘‘π‘Žπ‘›π›Ό π‘‘π‘Žπ‘›π›Ό PUNCT ajst-20796 112 78 βˆ™ βˆ™ PROPN ajst-20796 112 79 𝑠𝑖𝑛𝛽 𝑠𝑖𝑛𝛽 NOUN ajst-20796 112 80 ( ( PUNCT ajst-20796 112 81 28 28 NUM ajst-20796 112 82 ) ) PUNCT ajst-20796 112 83 as as SCONJ ajst-20796 112 84 can can AUX ajst-20796 112 85 be be AUX ajst-20796 112 86 seen see VERB ajst-20796 112 87 from from ADP ajst-20796 112 88 the the DET ajst-20796 112 89 figure figure NOUN ajst-20796 112 90 , , PUNCT ajst-20796 112 91 the the DET ajst-20796 112 92 depth depth NOUN ajst-20796 112 93 of of ADP ajst-20796 112 94 the the DET ajst-20796 112 95 sea sea NOUN ajst-20796 112 96 area area NOUN ajst-20796 112 97 at at ADP ajst-20796 112 98 any any DET ajst-20796 112 99 point point NOUN ajst-20796 112 100 is be AUX ajst-20796 112 101 only only ADV ajst-20796 112 102 related relate VERB ajst-20796 112 103 to to ADP ajst-20796 112 104 the the DET ajst-20796 112 105 abscissa abscissa NOUN ajst-20796 112 106 of of ADP ajst-20796 112 107 the the DET ajst-20796 112 108 point point NOUN ajst-20796 112 109 π‘₯ π‘₯ NOUN ajst-20796 112 110 , , PUNCT ajst-20796 112 111 and and CCONJ ajst-20796 112 112 the the DET ajst-20796 112 113 relation relation NOUN ajst-20796 112 114 is be AUX ajst-20796 112 115 satisfied satisfied ADJ ajst-20796 112 116 𝐷 𝐷 PROPN ajst-20796 112 117 𝑓 𝑓 PRON ajst-20796 112 118 π‘₯ π‘₯ X ajst-20796 112 119 β„Ž β„Ž PART ajst-20796 112 120 β„Ž β„Ž PROPN ajst-20796 112 121 π‘‘π‘Žπ‘›π›Ό π‘‘π‘Žπ‘›π›Ό VERB ajst-20796 112 122 βˆ™ βˆ™ PROPN ajst-20796 112 123 π‘₯ π‘₯ X ajst-20796 112 124 ( ( PUNCT ajst-20796 112 125 29 29 NUM ajst-20796 112 126 ) ) PUNCT ajst-20796 112 127 when when SCONJ ajst-20796 112 128 the the DET ajst-20796 112 129 route route NOUN ajst-20796 112 130 is be AUX ajst-20796 112 131 obscure obscure ADJ ajst-20796 112 132 at at ADP ajst-20796 112 133 the the DET ajst-20796 112 134 shallowest shallow ADJ ajst-20796 112 135 sea sea NOUN ajst-20796 112 136 depth depth NOUN ajst-20796 112 137 𝐴 𝐴 NOUN ajst-20796 112 138 , , PUNCT ajst-20796 112 139 πœ‚ πœ‚ DET ajst-20796 112 140 10 10 NUM ajst-20796 112 141 % % NOUN ajst-20796 112 142 can can AUX ajst-20796 112 143 ensure ensure VERB ajst-20796 112 144 that that SCONJ ajst-20796 112 145 the the DET ajst-20796 112 146 route route NOUN ajst-20796 112 147 spacing space VERB ajst-20796 112 148 is be AUX ajst-20796 112 149 as as ADV ajst-20796 112 150 large large ADJ ajst-20796 112 151 as as ADP ajst-20796 112 152 possible possible ADJ ajst-20796 112 153 , , PUNCT ajst-20796 112 154 and and CCONJ ajst-20796 112 155 𝐡 𝐡 NOUN ajst-20796 112 156 should should AUX ajst-20796 112 157 be be AUX ajst-20796 112 158 satisfied satisfied ADJ ajst-20796 112 159 when when SCONJ ajst-20796 112 160 the the DET ajst-20796 112 161 route route NOUN ajst-20796 112 162 is be AUX ajst-20796 112 163 obscure obscure ADJ ajst-20796 112 164 at at ADP ajst-20796 112 165 the the DET ajst-20796 112 166 deepest deep ADJ ajst-20796 112 167 sea sea NOUN ajst-20796 112 168 depth depth NOUN ajst-20796 112 169 πœ‚ πœ‚ NOUN ajst-20796 112 170 20 20 NUM ajst-20796 112 171 % % NOUN ajst-20796 112 172 ; ; PUNCT ajst-20796 112 173 step5 step5 PROPN ajst-20796 112 174 . . PUNCT ajst-20796 112 175 determine determine VERB ajst-20796 112 176 that that SCONJ ajst-20796 112 177 the the DET ajst-20796 112 178 last last ADJ ajst-20796 112 179 route route NOUN ajst-20796 112 180 covers cover VERB ajst-20796 112 181 the the DET ajst-20796 112 182 diagonal diagonal ADJ ajst-20796 112 183 edge edge NOUN ajst-20796 112 184 point point NOUN ajst-20796 112 185 a a DET ajst-20796 112 186 suppose suppose VERB ajst-20796 112 187 there there PRON ajst-20796 112 188 are be VERB ajst-20796 112 189 n n PRON ajst-20796 112 190 measuring measure VERB ajst-20796 112 191 lines line NOUN ajst-20796 112 192 to to PART ajst-20796 112 193 complete complete VERB ajst-20796 112 194 the the DET ajst-20796 112 195 full full ADJ ajst-20796 112 196 coverage coverage NOUN ajst-20796 112 197 , , PUNCT ajst-20796 112 198 repeat repeat PROPN ajst-20796 112 199 step1 step1 PROPN ajst-20796 112 200 - - PUNCT ajst-20796 112 201 4 4 NUM ajst-20796 112 202 , , PUNCT ajst-20796 112 203 and and CCONJ ajst-20796 112 204 the the DET ajst-20796 112 205 expression expression NOUN ajst-20796 112 206 of of ADP ajst-20796 112 207 the the DET ajst-20796 112 208 𝑖 𝑖 NOUN ajst-20796 112 209 measuring measure VERB ajst-20796 112 210 line line NOUN ajst-20796 112 211 is be AUX ajst-20796 112 212 . . PUNCT ajst-20796 113 1 𝑑 𝑑 AUX ajst-20796 113 2 β„Ž β„Ž SYM ajst-20796 113 3 βˆ™ βˆ™ PROPN ajst-20796 113 4 tanοΌˆπœƒ/2 tanοΌˆπœƒ/2 PROPN ajst-20796 113 5 οΌ‰ οΌ‰ PROPN ajst-20796 113 6 ( ( PUNCT ajst-20796 113 7 20 20 NUM ajst-20796 113 8 ) ) PUNCT ajst-20796 113 9 π‘₯ π‘₯ NOUN ajst-20796 113 10 π‘₯ π‘₯ X ajst-20796 113 11 𝑑 𝑑 NOUN ajst-20796 113 12 /𝑠𝑖𝑛𝛽 /𝑠𝑖𝑛𝛽 NOUN ajst-20796 113 13 ( ( PUNCT ajst-20796 113 14 22 22 NUM ajst-20796 113 15 ) ) PUNCT ajst-20796 113 16 π‘₯ π‘₯ NOUN ajst-20796 113 17 4 4 NUM ajst-20796 113 18 βˆ™ βˆ™ PROPN ajst-20796 113 19 1852 1852 NUM ajst-20796 113 20 ( ( PUNCT ajst-20796 113 21 23 23 NUM ajst-20796 113 22 ) ) PUNCT ajst-20796 113 23 𝑦 𝑦 NOUN ajst-20796 113 24 2 2 NUM ajst-20796 113 25 βˆ™ βˆ™ PROPN ajst-20796 113 26 1852 1852 NUM ajst-20796 113 27 ( ( PUNCT ajst-20796 113 28 24 24 NUM ajst-20796 113 29 ) ) PUNCT ajst-20796 113 30 116 116 NUM ajst-20796 113 31 find find VERB ajst-20796 113 32 the the DET ajst-20796 113 33 final final ADJ ajst-20796 113 34 interval interval NOUN ajst-20796 113 35 𝑑 𝑑 NOUN ajst-20796 113 36 on on ADP ajst-20796 113 37 the the DET ajst-20796 113 38 basis basis NOUN ajst-20796 113 39 of of ADP ajst-20796 113 40 the the DET ajst-20796 113 41 last last ADJ ajst-20796 113 42 line𝑙 line𝑙 PROPN ajst-20796 113 43 , , PUNCT ajst-20796 113 44 if if SCONJ ajst-20796 113 45 the the DET ajst-20796 113 46 last last ADJ ajst-20796 113 47 intersection intersection NOUN ajst-20796 113 48 𝐴 𝐴 PROPN ajst-20796 113 49 and and CCONJ ajst-20796 113 50 the the DET ajst-20796 113 51 abscissa abscissa ADJ ajst-20796 113 52 π‘₯ π‘₯ NOUN ajst-20796 113 53 are be AUX ajst-20796 113 54 satisfied satisfied ADJ ajst-20796 113 55 then then ADV ajst-20796 113 56 on on ADP ajst-20796 113 57 the the DET ajst-20796 113 58 contrary contrary NOUN ajst-20796 113 59 , , PUNCT ajst-20796 113 60 finally finally ADV ajst-20796 113 61 , , PUNCT ajst-20796 113 62 the the DET ajst-20796 113 63 total total ADJ ajst-20796 113 64 length length NOUN ajst-20796 113 65 z z PROPN ajst-20796 113 66 of of ADP ajst-20796 113 67 the the DET ajst-20796 113 68 whole whole ADJ ajst-20796 113 69 group group NOUN ajst-20796 113 70 of of ADP ajst-20796 113 71 measurement measurement NOUN ajst-20796 113 72 lines line NOUN ajst-20796 113 73 is be AUX ajst-20796 113 74 again again ADV ajst-20796 113 75 according accord VERB ajst-20796 113 76 to to ADP ajst-20796 113 77 question question NOUN ajst-20796 113 78 2 2 NUM ajst-20796 113 79 , , PUNCT ajst-20796 113 80 when when SCONJ ajst-20796 113 81 0 0 NUM ajst-20796 113 82 Β° Β° NOUN ajst-20796 113 83 𝛽 𝛽 NOUN ajst-20796 113 84 180 180 NUM ajst-20796 113 85 Β° Β° NOUN ajst-20796 113 86 with with ADP ajst-20796 113 87 180 180 NUM ajst-20796 113 88 Β° Β° NOUN ajst-20796 113 89 𝛽 𝛽 NOUN ajst-20796 113 90 360 360 NUM ajst-20796 113 91 Β° Β° NOUN ajst-20796 113 92 when when SCONJ ajst-20796 113 93 routes route NOUN ajst-20796 113 94 , , PUNCT ajst-20796 113 95 is be AUX ajst-20796 113 96 just just ADV ajst-20796 113 97 the the DET ajst-20796 113 98 starting starting NOUN ajst-20796 113 99 point point NOUN ajst-20796 113 100 is be AUX ajst-20796 113 101 different different ADJ ajst-20796 113 102 , , PUNCT ajst-20796 113 103 so so CCONJ ajst-20796 113 104 the the DET ajst-20796 113 105 subject subject NOUN ajst-20796 113 106 need need VERB ajst-20796 113 107 to to PART ajst-20796 113 108 consider consider VERB ajst-20796 113 109 0 0 NUM ajst-20796 113 110 Β° Β° NOUN ajst-20796 113 111 𝛽 𝛽 NOUN ajst-20796 113 112 180 180 NUM ajst-20796 113 113 Β° Β° PROPN ajst-20796 113 114 situation situation NOUN ajst-20796 113 115 , , PUNCT ajst-20796 113 116 above above ADP ajst-20796 113 117 all all PRON ajst-20796 113 118 , , PUNCT ajst-20796 113 119 kinds kind NOUN ajst-20796 113 120 of of ADP ajst-20796 113 121 optimization optimization NOUN ajst-20796 113 122 objective objective ADJ ajst-20796 113 123 function function NOUN ajst-20796 113 124 for for ADP ajst-20796 113 125 the the DET ajst-20796 113 126 model model NOUN ajst-20796 113 127 π‘šπ‘–π‘› π‘šπ‘–π‘› PROPN ajst-20796 113 128 𝑍 𝑍 PROPN ajst-20796 113 129 𝐿 𝐿 PROPN ajst-20796 113 130 ( ( PUNCT ajst-20796 113 131 35 35 NUM ajst-20796 113 132 ) ) PUNCT ajst-20796 113 133 the the DET ajst-20796 113 134 constraint constraint NOUN ajst-20796 113 135 condition condition NOUN ajst-20796 113 136 is be AUX ajst-20796 113 137 s.t s.t PROPN ajst-20796 113 138 . . PROPN ajst-20796 113 139 10 10 NUM ajst-20796 113 140 % % NOUN ajst-20796 113 141 πœ‚ πœ‚ NOUN ajst-20796 113 142 20 20 NUM ajst-20796 113 143 % % NOUN ajst-20796 113 144 0 0 NUM ajst-20796 114 1 π‘₯ π‘₯ DET ajst-20796 114 2 4 4 NUM ajst-20796 114 3 1852 1852 NUM ajst-20796 114 4 , , PUNCT ajst-20796 114 5 𝑖 𝑖 PROPN ajst-20796 114 6 1,2,3 1,2,3 NUM ajst-20796 114 7 … … PUNCT ajst-20796 114 8 0 0 NUM ajst-20796 114 9 𝑦 𝑦 NOUN ajst-20796 114 10 2 2 NUM ajst-20796 114 11 1852 1852 NUM ajst-20796 114 12 , , PUNCT ajst-20796 114 13 𝑖 𝑖 PROPN ajst-20796 114 14 1,2,3 1,2,3 NUM ajst-20796 114 15 … … PUNCT ajst-20796 114 16 0 0 NUM ajst-20796 114 17 Β° Β° NUM ajst-20796 114 18 𝛽 𝛽 NOUN ajst-20796 114 19 180 180 NUM ajst-20796 114 20 Β° Β° NOUN ajst-20796 114 21 ( ( PUNCT ajst-20796 114 22 36 36 NUM ajst-20796 114 23 ) ) PUNCT ajst-20796 115 1 the the DET ajst-20796 115 2 final final ADJ ajst-20796 115 3 result result NOUN ajst-20796 115 4 is be AUX ajst-20796 115 5 that that SCONJ ajst-20796 115 6 the the DET ajst-20796 115 7 number number NOUN ajst-20796 115 8 of of ADP ajst-20796 115 9 measured measured ADJ ajst-20796 115 10 lines line NOUN ajst-20796 115 11 is be AUX ajst-20796 115 12 38 38 NUM ajst-20796 115 13 , , PUNCT ajst-20796 115 14 and and CCONJ ajst-20796 115 15 the the DET ajst-20796 115 16 total total ADJ ajst-20796 115 17 length length NOUN ajst-20796 115 18 is be AUX ajst-20796 115 19 14,0752 14,0752 NUM ajst-20796 115 20 m. m. NOUN ajst-20796 115 21 draw draw VERB ajst-20796 115 22 the the DET ajst-20796 115 23 group group NOUN ajst-20796 115 24 of of ADP ajst-20796 115 25 lines line NOUN ajst-20796 115 26 with with ADP ajst-20796 115 27 the the DET ajst-20796 115 28 shortest short ADJ ajst-20796 115 29 total total ADJ ajst-20796 115 30 distance distance NOUN ajst-20796 115 31 as as SCONJ ajst-20796 115 32 follows follow VERB ajst-20796 115 33 figure figure VERB ajst-20796 115 34 5a 5a NUM ajst-20796 115 35 figure figure NOUN ajst-20796 115 36 5b 5b NUM ajst-20796 115 37 6.4 6.4 NUM ajst-20796 115 38 . . PUNCT ajst-20796 116 1 establishment establishment NOUN ajst-20796 116 2 and and CCONJ ajst-20796 116 3 solution solution NOUN ajst-20796 116 4 of of ADP ajst-20796 116 5 problem problem NOUN ajst-20796 116 6 4 4 NUM ajst-20796 116 7 model model NOUN ajst-20796 116 8 6.4.1 6.4.1 NUM ajst-20796 116 9 . . PUNCT ajst-20796 117 1 data datum NOUN ajst-20796 117 2 visualization visualization NOUN ajst-20796 117 3 we we PRON ajst-20796 117 4 first first ADV ajst-20796 117 5 visualized visualize VERB ajst-20796 117 6 the the DET ajst-20796 117 7 data datum NOUN ajst-20796 117 8 given give VERB ajst-20796 117 9 in in ADP ajst-20796 117 10 the the DET ajst-20796 117 11 question question NOUN ajst-20796 117 12 and and CCONJ ajst-20796 117 13 made make VERB ajst-20796 117 14 a a DET ajst-20796 117 15 three three NUM ajst-20796 117 16 - - PUNCT ajst-20796 117 17 dimensional dimensional ADJ ajst-20796 117 18 diagram diagram NOUN ajst-20796 117 19 in in ADP ajst-20796 117 20 matlab matlab PROPN ajst-20796 117 21 , , PUNCT ajst-20796 117 22 as as SCONJ ajst-20796 117 23 shown show VERB ajst-20796 117 24 in in ADP ajst-20796 117 25 figure figure NOUN ajst-20796 117 26 5 5 NUM ajst-20796 117 27 . . PUNCT ajst-20796 117 28 considering consider VERB ajst-20796 117 29 that that SCONJ ajst-20796 117 30 the the DET ajst-20796 117 31 data datum NOUN ajst-20796 117 32 are be AUX ajst-20796 117 33 multiple multiple ADJ ajst-20796 117 34 data datum NOUN ajst-20796 117 35 points point NOUN ajst-20796 117 36 , , PUNCT ajst-20796 117 37 in in ADP ajst-20796 117 38 order order NOUN ajst-20796 117 39 to to PART ajst-20796 117 40 make make VERB ajst-20796 117 41 the the DET ajst-20796 117 42 submarine submarine NOUN ajst-20796 117 43 terrain terrain NOUN ajst-20796 117 44 more more ADV ajst-20796 117 45 intuitive intuitive ADJ ajst-20796 117 46 and and CCONJ ajst-20796 117 47 smooth smooth ADJ ajst-20796 117 48 , , PUNCT ajst-20796 117 49 cftool cftool NOUN ajst-20796 117 50 toolbox toolbox NOUN ajst-20796 117 51 in in ADP ajst-20796 117 52 matlab matlab PROPN ajst-20796 117 53 was be AUX ajst-20796 117 54 used use VERB ajst-20796 117 55 to to PART ajst-20796 117 56 fit fit VERB ajst-20796 117 57 the the DET ajst-20796 117 58 data datum NOUN ajst-20796 117 59 given give VERB ajst-20796 117 60 , , PUNCT ajst-20796 117 61 and and CCONJ ajst-20796 117 62 the the DET ajst-20796 117 63 surface surface NOUN ajst-20796 117 64 diagram diagram NOUN ajst-20796 117 65 shown show VERB ajst-20796 117 66 in in ADP ajst-20796 117 67 figure figure NOUN ajst-20796 117 68 6 6 NUM ajst-20796 117 69 can can AUX ajst-20796 117 70 be be AUX ajst-20796 117 71 obtained obtain VERB ajst-20796 117 72 . . PUNCT ajst-20796 118 1 figure figure NOUN ajst-20796 118 2 6 6 NUM ajst-20796 118 3 and and CCONJ ajst-20796 118 4 the the DET ajst-20796 118 5 equation equation NOUN ajst-20796 118 6 of of ADP ajst-20796 118 7 submarine submarine NOUN ajst-20796 118 8 surface surface NOUN ajst-20796 118 9 is be AUX ajst-20796 118 10 𝑧 𝑧 PRON ajst-20796 118 11 3.173 3.173 NUM ajst-20796 118 12 17.6 17.6 NUM ajst-20796 118 13 βˆ™ βˆ™ NOUN ajst-20796 118 14 π‘₯ π‘₯ ADP ajst-20796 118 15 4.491 4.491 NUM ajst-20796 118 16 βˆ™ βˆ™ PROPN ajst-20796 118 17 𝑦 𝑦 NOUN ajst-20796 118 18 6.4 6.4 NUM ajst-20796 118 19 βˆ™ βˆ™ PROPN ajst-20796 118 20 π‘₯ π‘₯ PRON ajst-20796 119 1 9.6 9.6 NUM ajst-20796 119 2 βˆ™ βˆ™ NOUN ajst-20796 119 3 π‘₯ π‘₯ X ajst-20796 120 1 βˆ™ βˆ™ PROPN ajst-20796 120 2 𝑦 𝑦 PROPN ajst-20796 120 3 3.2 3.2 NUM ajst-20796 120 4 βˆ™ βˆ™ PROPN ajst-20796 120 5 𝑦^2 𝑦^2 PROPN ajst-20796 120 6 ( ( PUNCT ajst-20796 120 7 37 37 NUM ajst-20796 120 8 ) ) PUNCT ajst-20796 120 9 and and CCONJ ajst-20796 120 10 the the DET ajst-20796 120 11 correlation correlation NOUN ajst-20796 120 12 coefficient coefficient NOUN ajst-20796 120 13 𝑅 𝑅 PROPN ajst-20796 120 14 0.9648 0.9648 PROPN ajst-20796 120 15 and and CCONJ ajst-20796 120 16 the the DET ajst-20796 120 17 goodness goodness NOUN ajst-20796 120 18 of of ADP ajst-20796 120 19 fit fit NOUN ajst-20796 120 20 is be AUX ajst-20796 120 21 good good ADJ ajst-20796 120 22 . . PUNCT ajst-20796 121 1 6.4.2 6.4.2 X ajst-20796 121 2 . . PUNCT ajst-20796 121 3 model model NOUN ajst-20796 121 4 establishment establishment NOUN ajst-20796 121 5 in in ADP ajst-20796 121 6 the the DET ajst-20796 121 7 survey survey NOUN ajst-20796 121 8 line line NOUN ajst-20796 121 9 group group NOUN ajst-20796 121 10 with with ADP ajst-20796 121 11 the the DET ajst-20796 121 12 shortest short ADJ ajst-20796 121 13 total total ADJ ajst-20796 121 14 distance distance NOUN ajst-20796 121 15 obtained obtain VERB ajst-20796 121 16 from from ADP ajst-20796 121 17 question question NOUN ajst-20796 121 18 3 3 NUM ajst-20796 121 19 , , PUNCT ajst-20796 121 20 the the DET ajst-20796 121 21 direction direction NOUN ajst-20796 121 22 of of ADP ajst-20796 121 23 the the DET ajst-20796 121 24 survey survey NOUN ajst-20796 121 25 line line NOUN ajst-20796 121 26 is be AUX ajst-20796 121 27 parallel parallel ADJ ajst-20796 121 28 to to ADP ajst-20796 121 29 the the DET ajst-20796 121 30 bottom bottom ADJ ajst-20796 121 31 edge edge NOUN ajst-20796 121 32 of of ADP ajst-20796 121 33 the the DET ajst-20796 121 34 rectangular rectangular ADJ ajst-20796 121 35 sea sea NOUN ajst-20796 121 36 area area NOUN ajst-20796 121 37 , , PUNCT ajst-20796 121 38 that that ADV ajst-20796 121 39 is is ADV ajst-20796 121 40 , , PUNCT ajst-20796 121 41 it it PRON ajst-20796 121 42 runs run VERB ajst-20796 121 43 along along ADP ajst-20796 121 44 the the DET ajst-20796 121 45 contour contour NOUN ajst-20796 121 46 line line NOUN ajst-20796 121 47 of of ADP ajst-20796 121 48 the the DET ajst-20796 121 49 seabed seabed NOUN ajst-20796 121 50 . . PUNCT ajst-20796 122 1 the the DET ajst-20796 122 2 feasibility feasibility NOUN ajst-20796 122 3 of of ADP ajst-20796 122 4 this this DET ajst-20796 122 5 operation operation NOUN ajst-20796 122 6 is be AUX ajst-20796 122 7 verified verify VERB ajst-20796 122 8 by by ADP ajst-20796 122 9 searching search VERB ajst-20796 122 10 data datum NOUN ajst-20796 122 11 , , PUNCT ajst-20796 122 12 and and CCONJ ajst-20796 122 13 we we PRON ajst-20796 122 14 specify specify VERB ajst-20796 122 15 the the DET ajst-20796 122 16 course course NOUN ajst-20796 122 17 direction direction NOUN ajst-20796 122 18 of of ADP ajst-20796 122 19 question question NOUN ajst-20796 122 20 4 4 NUM ajst-20796 122 21 to to PART ajst-20796 122 22 run run VERB ajst-20796 122 23 along along ADP ajst-20796 122 24 the the DET ajst-20796 122 25 contour contour NOUN ajst-20796 122 26 line line NOUN ajst-20796 122 27 of of ADP ajst-20796 122 28 the the DET ajst-20796 122 29 coastal coastal ADJ ajst-20796 122 30 bottom bottom NOUN ajst-20796 123 1 [ [ X ajst-20796 123 2 11 11 NUM ajst-20796 123 3 ] ] PUNCT ajst-20796 123 4 . . PUNCT ajst-20796 124 1 according accord VERB ajst-20796 124 2 to to ADP ajst-20796 124 3 the the DET ajst-20796 124 4 equation equation NOUN ajst-20796 124 5 of of ADP ajst-20796 124 6 the the DET ajst-20796 124 7 submarine submarine NOUN ajst-20796 124 8 surface surface NOUN ajst-20796 124 9 obtained obtain VERB ajst-20796 124 10 in in ADP ajst-20796 124 11 z z PROPN ajst-20796 124 12 , , PUNCT ajst-20796 124 13 we we PRON ajst-20796 124 14 make make VERB ajst-20796 124 15 the the DET ajst-20796 124 16 contour contour NOUN ajst-20796 124 17 map map NOUN ajst-20796 124 18 and and CCONJ ajst-20796 124 19 gradient gradient ADJ ajst-20796 124 20 line line NOUN ajst-20796 124 21 of of ADP ajst-20796 124 22 the the DET ajst-20796 124 23 submarine submarine NOUN ajst-20796 124 24 surface surface NOUN ajst-20796 124 25 as as SCONJ ajst-20796 124 26 shown show VERB ajst-20796 124 27 in in ADP ajst-20796 124 28 fig fig NOUN ajst-20796 124 29 . . PUNCT ajst-20796 125 1 7 7 X ajst-20796 125 2 . . X ajst-20796 125 3 figure figure NOUN ajst-20796 125 4 7 7 NUM ajst-20796 125 5 by by ADP ajst-20796 125 6 analyzing analyze VERB ajst-20796 125 7 the the DET ajst-20796 125 8 obtained obtain VERB ajst-20796 125 9 contour contour NOUN ajst-20796 125 10 map map NOUN ajst-20796 125 11 , , PUNCT ajst-20796 125 12 we we PRON ajst-20796 125 13 find find VERB ajst-20796 125 14 that that SCONJ ajst-20796 125 15 the the DET ajst-20796 125 16 π‘Œ π‘Œ PROPN ajst-20796 125 17 𝑑 𝑑 NOUN ajst-20796 125 18 π‘π‘œπ‘ π›½ π‘π‘œπ‘ π›½ NOUN ajst-20796 125 19 π‘Œ π‘Œ PROPN ajst-20796 125 20 ( ( PUNCT ajst-20796 125 21 30 30 NUM ajst-20796 125 22 ) ) PUNCT ajst-20796 126 1 π‘₯ π‘₯ PROPN ajst-20796 126 2 𝑑 𝑑 NOUN ajst-20796 126 3 sin sin PROPN ajst-20796 126 4 𝛽 𝛽 PROPN ajst-20796 126 5 ( ( PUNCT ajst-20796 126 6 31 31 NUM ajst-20796 126 7 ) ) PUNCT ajst-20796 126 8 𝑛 𝑛 PART ajst-20796 126 9 𝑖 𝑖 SYM ajst-20796 126 10 ( ( PUNCT ajst-20796 126 11 32 32 NUM ajst-20796 126 12 ) ) PUNCT ajst-20796 126 13 𝑛 𝑛 PART ajst-20796 126 14 𝑖 𝑖 SYM ajst-20796 126 15 1 1 NUM ajst-20796 126 16 ( ( PUNCT ajst-20796 126 17 33 33 NUM ajst-20796 126 18 ) ) PUNCT ajst-20796 126 19 𝑍 𝑍 PROPN ajst-20796 126 20 𝐿 𝐿 PROPN ajst-20796 126 21 ( ( PUNCT ajst-20796 126 22 34 34 NUM ajst-20796 126 23 ) ) PUNCT ajst-20796 126 24 117 117 NUM ajst-20796 126 25 contour contour NOUN ajst-20796 126 26 lines line NOUN ajst-20796 126 27 on on ADP ajst-20796 126 28 the the DET ajst-20796 126 29 left left ADJ ajst-20796 126 30 and and CCONJ ajst-20796 126 31 right right ADJ ajst-20796 126 32 sides side NOUN ajst-20796 126 33 of of ADP ajst-20796 126 34 the the DET ajst-20796 126 35 diagonal diagonal ADJ ajst-20796 126 36 line line NOUN ajst-20796 126 37 from from ADP ajst-20796 126 38 southwest southwest NOUN ajst-20796 126 39 to to PART ajst-20796 126 40 northeast northeast VERB ajst-20796 126 41 in in ADP ajst-20796 126 42 the the DET ajst-20796 126 43 rectangular rectangular ADJ ajst-20796 126 44 sea sea NOUN ajst-20796 126 45 area area NOUN ajst-20796 126 46 are be AUX ajst-20796 126 47 basically basically ADV ajst-20796 126 48 parallel parallel ADJ ajst-20796 126 49 and and CCONJ ajst-20796 126 50 approximately approximately ADV ajst-20796 126 51 straight straight ADJ ajst-20796 126 52 . . PUNCT ajst-20796 127 1 at at ADP ajst-20796 127 2 the the DET ajst-20796 127 3 same same ADJ ajst-20796 127 4 time time NOUN ajst-20796 127 5 , , PUNCT ajst-20796 127 6 we we PRON ajst-20796 127 7 draw draw VERB ajst-20796 127 8 the the DET ajst-20796 127 9 gradient gradient ADJ ajst-20796 127 10 map map NOUN ajst-20796 127 11 and and CCONJ ajst-20796 127 12 find find VERB ajst-20796 127 13 that that SCONJ ajst-20796 127 14 the the DET ajst-20796 127 15 direction direction NOUN ajst-20796 127 16 of of ADP ajst-20796 127 17 the the DET ajst-20796 127 18 gradients gradient NOUN ajst-20796 127 19 on on ADP ajst-20796 127 20 both both DET ajst-20796 127 21 sides side NOUN ajst-20796 127 22 is be AUX ajst-20796 127 23 basically basically ADV ajst-20796 127 24 the the DET ajst-20796 127 25 same same ADJ ajst-20796 127 26 along along ADP ajst-20796 127 27 the the DET ajst-20796 127 28 main main ADJ ajst-20796 127 29 diagonal diagonal NOUN ajst-20796 127 30 , , PUNCT ajst-20796 127 31 indicating indicate VERB ajst-20796 127 32 that that SCONJ ajst-20796 127 33 the the DET ajst-20796 127 34 two two NUM ajst-20796 127 35 sides side NOUN ajst-20796 127 36 can can AUX ajst-20796 127 37 be be AUX ajst-20796 127 38 regarded regard VERB ajst-20796 127 39 as as ADP ajst-20796 127 40 planes plane NOUN ajst-20796 127 41 approximately approximately ADV ajst-20796 127 42 . . PUNCT ajst-20796 128 1 inspired inspire VERB ajst-20796 128 2 by by ADP ajst-20796 128 3 this this PRON ajst-20796 128 4 , , PUNCT ajst-20796 128 5 the the DET ajst-20796 128 6 seafloor seafloor NOUN ajst-20796 128 7 surface surface NOUN ajst-20796 128 8 can can AUX ajst-20796 128 9 be be AUX ajst-20796 128 10 divided divide VERB ajst-20796 128 11 into into ADP ajst-20796 128 12 two two NUM ajst-20796 128 13 planes plane NOUN ajst-20796 128 14 along along ADP ajst-20796 128 15 the the DET ajst-20796 128 16 southwest southwest NOUN ajst-20796 128 17 to to ADP ajst-20796 128 18 northeast northeast ADV ajst-20796 128 19 diagonal diagonal ADJ ajst-20796 128 20 , , PUNCT ajst-20796 128 21 so so CCONJ ajst-20796 128 22 problem problem NOUN ajst-20796 128 23 4 4 NUM ajst-20796 128 24 is be AUX ajst-20796 128 25 simplified simplify VERB ajst-20796 128 26 to to PART ajst-20796 128 27 problem problem VERB ajst-20796 128 28 3 3 NUM ajst-20796 128 29 . . PUNCT ajst-20796 129 1 the the DET ajst-20796 129 2 difference difference NOUN ajst-20796 129 3 is be AUX ajst-20796 129 4 that that SCONJ ajst-20796 129 5 the the DET ajst-20796 129 6 seafloor seafloor NOUN ajst-20796 129 7 slope slope NOUN ajst-20796 129 8 of of ADP ajst-20796 129 9 problem problem NOUN ajst-20796 129 10 3 3 NUM ajst-20796 129 11 is be AUX ajst-20796 129 12 a a DET ajst-20796 129 13 rectangular rectangular ADJ ajst-20796 129 14 plane plane NOUN ajst-20796 129 15 , , PUNCT ajst-20796 129 16 while while SCONJ ajst-20796 129 17 problem problem NOUN ajst-20796 129 18 4 4 NUM ajst-20796 129 19 is be AUX ajst-20796 129 20 two two NUM ajst-20796 129 21 triangular triangular NOUN ajst-20796 129 22 planes[12 planes[12 NOUN ajst-20796 129 23 ] ] X ajst-20796 129 24 . . PUNCT ajst-20796 130 1 the the DET ajst-20796 130 2 seafloor seafloor NOUN ajst-20796 130 3 plane plane NOUN ajst-20796 130 4 above above ADP ajst-20796 130 5 the the DET ajst-20796 130 6 diagonal diagonal ADJ ajst-20796 130 7 from from ADP ajst-20796 130 8 southwest southwest NOUN ajst-20796 130 9 to to ADP ajst-20796 130 10 northeast northeast ADV ajst-20796 130 11 is be AUX ajst-20796 130 12 𝑆 𝑆 PROPN ajst-20796 130 13 dark dark NOUN ajst-20796 130 14 , , PUNCT ajst-20796 130 15 and and CCONJ ajst-20796 130 16 the the DET ajst-20796 130 17 seafloor seafloor NOUN ajst-20796 130 18 plane plane NOUN ajst-20796 130 19 below below ADV ajst-20796 130 20 is be AUX ajst-20796 130 21 𝑆 𝑆 PROPN ajst-20796 130 22 . . PUNCT ajst-20796 131 1 at at ADP ajst-20796 131 2 the the DET ajst-20796 131 3 same same ADJ ajst-20796 131 4 time time NOUN ajst-20796 131 5 , , PUNCT ajst-20796 131 6 the the DET ajst-20796 131 7 east east ADJ ajst-20796 131 8 direction direction NOUN ajst-20796 131 9 is be AUX ajst-20796 131 10 the the DET ajst-20796 131 11 positive positive ADJ ajst-20796 131 12 direction direction NOUN ajst-20796 131 13 of of ADP ajst-20796 131 14 the the DET ajst-20796 131 15 x x NOUN ajst-20796 131 16 axis axis NOUN ajst-20796 131 17 , , PUNCT ajst-20796 131 18 the the DET ajst-20796 131 19 north north NOUN ajst-20796 131 20 direction direction NOUN ajst-20796 131 21 is be AUX ajst-20796 131 22 the the DET ajst-20796 131 23 positive positive ADJ ajst-20796 131 24 direction direction NOUN ajst-20796 131 25 of of ADP ajst-20796 131 26 the the DET ajst-20796 131 27 y y PROPN ajst-20796 131 28 axis axis NOUN ajst-20796 131 29 , , PUNCT ajst-20796 131 30 and and CCONJ ajst-20796 131 31 the the DET ajst-20796 131 32 upward upward ADJ ajst-20796 131 33 direction direction NOUN ajst-20796 131 34 is be AUX ajst-20796 131 35 the the DET ajst-20796 131 36 positive positive ADJ ajst-20796 131 37 direction direction NOUN ajst-20796 131 38 of of ADP ajst-20796 131 39 the the DET ajst-20796 131 40 z z NOUN ajst-20796 131 41 axis axis NOUN ajst-20796 131 42 . . PUNCT ajst-20796 132 1 the the DET ajst-20796 132 2 space space NOUN ajst-20796 132 3 rectangular rectangular ADJ ajst-20796 132 4 coordinate coordinate NOUN ajst-20796 132 5 system system NOUN ajst-20796 132 6 is be AUX ajst-20796 132 7 established establish VERB ajst-20796 132 8 with with ADP ajst-20796 132 9 the the DET ajst-20796 132 10 seabed seabed NOUN ajst-20796 132 11 in in ADP ajst-20796 132 12 the the DET ajst-20796 132 13 southwest southwest ADJ ajst-20796 132 14 corner corner NOUN ajst-20796 132 15 as as ADP ajst-20796 132 16 the the DET ajst-20796 132 17 coordinate coordinate NOUN ajst-20796 132 18 origin origin NOUN ajst-20796 132 19 , , PUNCT ajst-20796 132 20 as as SCONJ ajst-20796 132 21 shown show VERB ajst-20796 132 22 in in ADP ajst-20796 132 23 figure figure NOUN ajst-20796 132 24 8 8 NUM ajst-20796 132 25 . . PUNCT ajst-20796 133 1 figure figure VERB ajst-20796 133 2 8 8 NUM ajst-20796 133 3 as as SCONJ ajst-20796 133 4 shown show VERB ajst-20796 133 5 in in ADP ajst-20796 133 6 the the DET ajst-20796 133 7 figure figure NOUN ajst-20796 133 8 , , PUNCT ajst-20796 133 9 βˆ†π΄π‘‚π΅ βˆ†π΄π‘‚π΅ NOUN ajst-20796 133 10 belongs belong VERB ajst-20796 133 11 to to ADP ajst-20796 133 12 the the DET ajst-20796 133 13 plane plane NOUN ajst-20796 133 14 𝑆 𝑆 PROPN ajst-20796 133 15 , , PUNCT ajst-20796 133 16 βˆ†π΄πΆπ΅ βˆ†π΄πΆπ΅ PROPN ajst-20796 133 17 belongs belong VERB ajst-20796 133 18 to to ADP ajst-20796 133 19 the the DET ajst-20796 133 20 plane plane NOUN ajst-20796 133 21 𝑆 𝑆 PROPN ajst-20796 133 22 . . PUNCT ajst-20796 134 1 since since SCONJ ajst-20796 134 2 problem problem NOUN ajst-20796 134 3 3 3 NUM ajst-20796 134 4 is be AUX ajst-20796 134 5 a a DET ajst-20796 134 6 rectangular rectangular ADJ ajst-20796 134 7 slope slope NOUN ajst-20796 134 8 and and CCONJ ajst-20796 134 9 problem problem NOUN ajst-20796 134 10 4 4 NUM ajst-20796 134 11 is be AUX ajst-20796 134 12 a a DET ajst-20796 134 13 triangle triangle NOUN ajst-20796 134 14 , , PUNCT ajst-20796 134 15 it it PRON ajst-20796 134 16 is be AUX ajst-20796 134 17 considered consider VERB ajst-20796 134 18 to to PART ajst-20796 134 19 put put VERB ajst-20796 134 20 the the DET ajst-20796 134 21 triangle triangle NOUN ajst-20796 134 22 into into ADP ajst-20796 134 23 the the DET ajst-20796 134 24 rectangular rectangular ADJ ajst-20796 134 25 slope slope NOUN ajst-20796 134 26 to to PART ajst-20796 134 27 solve solve VERB ajst-20796 134 28 it it PRON ajst-20796 134 29 . . PUNCT ajst-20796 135 1 taking take VERB ajst-20796 135 2 the the DET ajst-20796 135 3 plane plane NOUN ajst-20796 135 4 𝑆 𝑆 PROPN ajst-20796 135 5 as as ADP ajst-20796 135 6 the the DET ajst-20796 135 7 example example NOUN ajst-20796 135 8 βˆ†π΄π‘‚π΅ βˆ†π΄π‘‚π΅ NOUN ajst-20796 135 9 , , PUNCT ajst-20796 135 10 extend extend VERB ajst-20796 135 11 the the DET ajst-20796 135 12 base base NOUN ajst-20796 135 13 of of ADP ajst-20796 135 14 ab ab PROPN ajst-20796 135 15 to to PART ajst-20796 135 16 point point VERB ajst-20796 135 17 e e NOUN ajst-20796 135 18 and and CCONJ ajst-20796 135 19 connect connect VERB ajst-20796 135 20 to to ADP ajst-20796 135 21 oe oe PROPN ajst-20796 135 22 , , PUNCT ajst-20796 135 23 where where SCONJ ajst-20796 135 24 oe oe PROPN ajst-20796 135 25 is be AUX ajst-20796 135 26 the the DET ajst-20796 135 27 base base ADJ ajst-20796 135 28 edge edge NOUN ajst-20796 135 29 of of ADP ajst-20796 135 30 the the DET ajst-20796 135 31 rectangular rectangular ADJ ajst-20796 135 32 slope slope NOUN ajst-20796 135 33 to to PART ajst-20796 135 34 be be AUX ajst-20796 135 35 obtained obtain VERB ajst-20796 135 36 . . PUNCT ajst-20796 136 1 then then ADV ajst-20796 136 2 the the DET ajst-20796 136 3 problem problem NOUN ajst-20796 136 4 is be AUX ajst-20796 136 5 simplified simplify VERB ajst-20796 136 6 to to PART ajst-20796 136 7 problem problem VERB ajst-20796 136 8 3 3 X ajst-20796 136 9 . . PUNCT ajst-20796 137 1 we we PRON ajst-20796 137 2 arrange arrange VERB ajst-20796 137 3 survey survey NOUN ajst-20796 137 4 lines line NOUN ajst-20796 137 5 parallel parallel ADJ ajst-20796 137 6 to to ADP ajst-20796 137 7 the the DET ajst-20796 137 8 base base NOUN ajst-20796 137 9 edge edge NOUN ajst-20796 137 10 oe oe PROPN ajst-20796 137 11 ( ( PUNCT ajst-20796 137 12 that that PRON ajst-20796 137 13 is is ADV ajst-20796 137 14 , , PUNCT ajst-20796 137 15 in in ADP ajst-20796 137 16 the the DET ajst-20796 137 17 direction direction NOUN ajst-20796 137 18 of of ADP ajst-20796 137 19 contour contour NOUN ajst-20796 137 20 lines line NOUN ajst-20796 137 21 ) ) PUNCT ajst-20796 137 22 , , PUNCT ajst-20796 137 23 and and CCONJ ajst-20796 137 24 finally finally ADV ajst-20796 137 25 increase increase VERB ajst-20796 137 26 the the DET ajst-20796 137 27 constraints constraint NOUN ajst-20796 137 28 that that PRON ajst-20796 137 29 the the DET ajst-20796 137 30 total total ADJ ajst-20796 137 31 length length NOUN ajst-20796 137 32 of of ADP ajst-20796 137 33 survey survey NOUN ajst-20796 137 34 lines line NOUN ajst-20796 137 35 is be AUX ajst-20796 137 36 as as ADV ajst-20796 137 37 short short ADJ ajst-20796 137 38 as as ADP ajst-20796 137 39 possible possible ADJ ajst-20796 137 40 , , PUNCT ajst-20796 137 41 the the DET ajst-20796 137 42 coverage coverage NOUN ajst-20796 137 43 area area NOUN ajst-20796 137 44 is be AUX ajst-20796 137 45 as as ADV ajst-20796 137 46 large large ADJ ajst-20796 137 47 as as ADP ajst-20796 137 48 possible possible ADJ ajst-20796 137 49 , , PUNCT ajst-20796 137 50 and and CCONJ ajst-20796 137 51 the the DET ajst-20796 137 52 overlap overlap NOUN ajst-20796 137 53 rate rate NOUN ajst-20796 137 54 is be AUX ajst-20796 137 55 as as ADV ajst-20796 137 56 small small ADJ ajst-20796 137 57 as as ADP ajst-20796 137 58 possible possible ADJ ajst-20796 137 59 to to PART ajst-20796 137 60 establish establish VERB ajst-20796 137 61 a a DET ajst-20796 137 62 new new ADJ ajst-20796 137 63 optimization optimization NOUN ajst-20796 137 64 model model NOUN ajst-20796 137 65 . . PUNCT ajst-20796 138 1 a a DET ajst-20796 138 2 rectangular rectangular ADJ ajst-20796 138 3 area area NOUN ajst-20796 138 4 things thing NOUN ajst-20796 138 5 for for ADP ajst-20796 138 6 a a DET ajst-20796 138 7 long long ADJ ajst-20796 138 8 , , PUNCT ajst-20796 138 9 north north NOUN ajst-20796 138 10 and and CCONJ ajst-20796 138 11 south south NOUN ajst-20796 138 12 long long ADJ ajst-20796 138 13 b,，𝐴 b,，𝐴 PROPN ajst-20796 138 14 π‘₯ π‘₯ ADP ajst-20796 138 15 , , PUNCT ajst-20796 138 16 𝑦 𝑦 NOUN ajst-20796 138 17 , , PUNCT ajst-20796 138 18 𝑧 𝑧 X ajst-20796 138 19 , , PUNCT ajst-20796 138 20 𝐡 𝐡 NOUN ajst-20796 138 21 π‘₯ π‘₯ PROPN ajst-20796 138 22 , , PUNCT ajst-20796 138 23 𝑦 𝑦 PRON ajst-20796 138 24 , , PUNCT ajst-20796 138 25 𝑧 𝑧 X ajst-20796 138 26 , , PUNCT ajst-20796 138 27 𝐢 𝐢 PROPN ajst-20796 138 28 π‘₯ π‘₯ PROPN ajst-20796 138 29 , , PUNCT ajst-20796 138 30 𝑦 𝑦 NOUN ajst-20796 138 31 , , PUNCT ajst-20796 138 32 𝑧 𝑧 X ajst-20796 138 33 , , PUNCT ajst-20796 138 34 𝐸 𝐸 PROPN ajst-20796 138 35 π‘₯ π‘₯ PROPN ajst-20796 138 36 , , PUNCT ajst-20796 138 37 𝑦 𝑦 NOUN ajst-20796 138 38 , , PUNCT ajst-20796 138 39 𝑧 𝑧 PROPN ajst-20796 138 40 . . PUNCT ajst-20796 139 1 step1 step1 PROPN ajst-20796 139 2 . . PUNCT ajst-20796 140 1 find find VERB ajst-20796 140 2 the the DET ajst-20796 140 3 slope slope NOUN ajst-20796 140 4 angle angle NOUN ajst-20796 140 5 Ξ± Ξ± NOUN ajst-20796 140 6 the the DET ajst-20796 140 7 direction direction NOUN ajst-20796 140 8 of of ADP ajst-20796 140 9 the the DET ajst-20796 140 10 vector vector NOUN ajst-20796 140 11 𝑂 𝑂 PROPN ajst-20796 140 12 οΏ½ οΏ½ PROPN ajst-20796 140 13 βƒ— βƒ— NOUN ajst-20796 140 14 οΏ½ οΏ½ PROPN ajst-20796 140 15 is be AUX ajst-20796 140 16 specified specify VERB ajst-20796 140 17 as as ADP ajst-20796 140 18 the the DET ajst-20796 140 19 direction direction NOUN ajst-20796 140 20 of of ADP ajst-20796 140 21 the the DET ajst-20796 140 22 measurement measurement NOUN ajst-20796 140 23 line line NOUN ajst-20796 140 24 , , PUNCT ajst-20796 140 25 then then ADV ajst-20796 140 26 the the DET ajst-20796 140 27 angle angle NOUN ajst-20796 140 28 𝛼 𝛼 PROPN ajst-20796 140 29 of of ADP ajst-20796 140 30 slope slope NOUN ajst-20796 140 31 is be AUX ajst-20796 140 32 the the DET ajst-20796 140 33 dihedral dihedral ADJ ajst-20796 140 34 angle angle NOUN ajst-20796 140 35 between between ADP ajst-20796 140 36 the the DET ajst-20796 140 37 plane plane NOUN ajst-20796 140 38 𝑆 𝑆 PROPN ajst-20796 140 39 and and CCONJ ajst-20796 140 40 the the DET ajst-20796 140 41 plane plane NOUN ajst-20796 140 42 π‘₯𝑂𝑦 π‘₯𝑂𝑦 ADV ajst-20796 140 43 , , PUNCT ajst-20796 140 44 and and CCONJ ajst-20796 140 45 a a DET ajst-20796 140 46 plane plane NOUN ajst-20796 140 47 𝑆 𝑆 PROPN ajst-20796 140 48 is be AUX ajst-20796 140 49 set.if set.if PROPN ajst-20796 140 50 the the DET ajst-20796 140 51 normal normal ADJ ajst-20796 140 52 vector vector NOUN ajst-20796 140 53 of of ADP ajst-20796 140 54 the the DET ajst-20796 140 55 plane plane NOUN ajst-20796 140 56 π‘₯𝑂𝑦 π‘₯𝑂𝑦 ADP ajst-20796 140 57 is be AUX ajst-20796 140 58 𝒏 𝒏 PROPN ajst-20796 140 59 , , PUNCT ajst-20796 140 60 then then ADV ajst-20796 140 61 there there PRON ajst-20796 140 62 is be VERB ajst-20796 140 63 π’Ž π’Ž PROPN ajst-20796 140 64 𝑢𝑨 𝑢𝑨 PROPN ajst-20796 140 65 𝑢 𝑢 PROPN ajst-20796 140 66 οΏ½ οΏ½ PROPN ajst-20796 140 67 βƒ— βƒ— PROPN ajst-20796 140 68 οΏ½ οΏ½ PROPN ajst-20796 140 69 ( ( PUNCT ajst-20796 140 70 38 38 NUM ajst-20796 140 71 ) ) PUNCT ajst-20796 140 72 𝒏 𝒏 PROPN ajst-20796 140 73 𝟎 𝟎 PROPN ajst-20796 140 74 , , PUNCT ajst-20796 140 75 𝟎 𝟎 NUM ajst-20796 140 76 , , PUNCT ajst-20796 140 77 𝟏 𝟏 NUM ajst-20796 140 78 ( ( PUNCT ajst-20796 140 79 39 39 NUM ajst-20796 140 80 ) ) PUNCT ajst-20796 140 81 dihedral dihedral ADJ ajst-20796 140 82 angle angle NOUN ajst-20796 140 83 Ξ± Ξ± PROPN ajst-20796 140 84 is be AUX ajst-20796 140 85 π‘π‘œπ‘  π‘π‘œπ‘  ADV ajst-20796 140 86 𝛼 𝛼 INTJ ajst-20796 140 87 π’Ž π’Ž X ajst-20796 140 88 𝒏 𝒏 PROPN ajst-20796 140 89 |π’Ž| |π’Ž| PROPN ajst-20796 140 90 |𝒏| |𝒏| PROPN ajst-20796 140 91 ( ( PUNCT ajst-20796 140 92 40 40 NUM ajst-20796 140 93 ) ) PUNCT ajst-20796 140 94 step2 step2 PROPN ajst-20796 140 95 . . PUNCT ajst-20796 141 1 find find VERB ajst-20796 141 2 out out ADP ajst-20796 141 3 the the DET ajst-20796 141 4 bottom bottom ADJ ajst-20796 141 5 width width NOUN ajst-20796 141 6 of of ADP ajst-20796 141 7 the the DET ajst-20796 141 8 rectangular rectangular ADJ ajst-20796 141 9 area area NOUN ajst-20796 141 10 according accord VERB ajst-20796 141 11 to to ADP ajst-20796 141 12 the the DET ajst-20796 141 13 meaning meaning NOUN ajst-20796 141 14 of of ADP ajst-20796 141 15 the the DET ajst-20796 141 16 question question NOUN ajst-20796 141 17 , , PUNCT ajst-20796 141 18 oe oe PROPN ajst-20796 141 19 is be AUX ajst-20796 141 20 the the DET ajst-20796 141 21 base base ADJ ajst-20796 141 22 width width NOUN ajst-20796 141 23 of of ADP ajst-20796 141 24 the the DET ajst-20796 141 25 corresponding corresponding ADJ ajst-20796 141 26 rectangular rectangular ADJ ajst-20796 141 27 area area NOUN ajst-20796 141 28 , , PUNCT ajst-20796 141 29 and and CCONJ ajst-20796 141 30 the the DET ajst-20796 141 31 schematic schematic ADJ ajst-20796 141 32 diagram diagram NOUN ajst-20796 141 33 of of ADP ajst-20796 141 34 the the DET ajst-20796 141 35 rectangular rectangular ADJ ajst-20796 141 36 sea sea NOUN ajst-20796 141 37 area area NOUN ajst-20796 141 38 with with ADP ajst-20796 141 39 s s PRON ajst-20796 141 40 as as SCONJ ajst-20796 141 41 the the DET ajst-20796 141 42 slope slope NOUN ajst-20796 141 43 is be AUX ajst-20796 141 44 shown show VERB ajst-20796 141 45 in in ADP ajst-20796 141 46 fig fig NOUN ajst-20796 141 47 . . PUNCT ajst-20796 142 1 9 9 X ajst-20796 142 2 . . X ajst-20796 142 3 figure figure NOUN ajst-20796 142 4 9 9 NUM ajst-20796 142 5 then then ADV ajst-20796 142 6 there there PRON ajst-20796 142 7 is be VERB ajst-20796 142 8 , , PUNCT ajst-20796 142 9 step3 step3 PROPN ajst-20796 142 10 . . PUNCT ajst-20796 143 1 find find VERB ajst-20796 143 2 the the DET ajst-20796 143 3 bottom bottom ADJ ajst-20796 143 4 length length NOUN ajst-20796 143 5 of of ADP ajst-20796 143 6 the the DET ajst-20796 143 7 rectangular rectangular ADJ ajst-20796 143 8 area area NOUN ajst-20796 143 9 as as SCONJ ajst-20796 143 10 shown show VERB ajst-20796 143 11 in in ADP ajst-20796 143 12 fig fig NOUN ajst-20796 143 13 . . PUNCT ajst-20796 144 1 10 10 NUM ajst-20796 144 2 , , PUNCT ajst-20796 144 3 the the DET ajst-20796 144 4 vertical vertical ADJ ajst-20796 144 5 line line NOUN ajst-20796 144 6 intersecting intersect VERB ajst-20796 144 7 the the DET ajst-20796 144 8 base base NOUN ajst-20796 144 9 of of ADP ajst-20796 144 10 xoy xoy NOUN ajst-20796 144 11 through through ADP ajst-20796 144 12 point point NOUN ajst-20796 144 13 a a DET ajst-20796 144 14 meets meet VERB ajst-20796 144 15 the the DET ajst-20796 144 16 point point NOUN ajst-20796 144 17 p p X ajst-20796 144 18 x x X ajst-20796 144 19 , , PUNCT ajst-20796 144 20 y y PROPN ajst-20796 144 21 , , PUNCT ajst-20796 144 22 0 0 NUM ajst-20796 144 23 , , PUNCT ajst-20796 144 24 then then ADV ajst-20796 144 25 the the DET ajst-20796 144 26 length length NOUN ajst-20796 144 27 of of ADP ajst-20796 144 28 the the DET ajst-20796 144 29 base base NOUN ajst-20796 144 30 om om PROPN ajst-20796 144 31 is be AUX ajst-20796 144 32 the the DET ajst-20796 144 33 distance distance NOUN ajst-20796 144 34 from from ADP ajst-20796 144 35 point point NOUN ajst-20796 144 36 p p NOUN ajst-20796 144 37 to to ADP ajst-20796 144 38 the the DET ajst-20796 144 39 straight straight ADJ ajst-20796 144 40 line line NOUN ajst-20796 144 41 oe oe PROPN ajst-20796 144 42 . . PUNCT ajst-20796 145 1 in in ADP ajst-20796 145 2 the the DET ajst-20796 145 3 coordinate coordinate NOUN ajst-20796 145 4 system system NOUN ajst-20796 145 5 plane plane NOUN ajst-20796 145 6 xoy xoy NOUN ajst-20796 145 7 , , PUNCT ajst-20796 145 8 the the DET ajst-20796 145 9 equation equation NOUN ajst-20796 145 10 of of ADP ajst-20796 145 11 the the DET ajst-20796 145 12 straight straight ADJ ajst-20796 145 13 line line NOUN ajst-20796 145 14 oe oe PROPN ajst-20796 145 15 is be AUX ajst-20796 145 16 and and CCONJ ajst-20796 145 17 then then ADV ajst-20796 145 18 the the DET ajst-20796 145 19 distance distance NOUN ajst-20796 145 20 from from ADP ajst-20796 145 21 point point NOUN ajst-20796 145 22 p p NOUN ajst-20796 145 23 to to ADP ajst-20796 145 24 line line NOUN ajst-20796 145 25 oe oe PROPN ajst-20796 145 26 is be AUX ajst-20796 145 27 𝑑 𝑑 PROPN ajst-20796 145 28 π‘˜π‘₯ π‘˜π‘₯ PROPN ajst-20796 145 29 𝑦 𝑦 PROPN ajst-20796 145 30 βˆšπ‘˜ βˆšπ‘˜ NOUN ajst-20796 145 31 1 1 NUM ajst-20796 145 32 ( ( PUNCT ajst-20796 145 33 44 44 NUM ajst-20796 145 34 ) ) PUNCT ajst-20796 145 35 step4 step4 PROPN ajst-20796 145 36 . . PUNCT ajst-20796 146 1 regression regression NOUN ajst-20796 146 2 problem problem NOUN ajst-20796 146 3 3 3 NUM ajst-20796 146 4 the the DET ajst-20796 146 5 expression expression NOUN ajst-20796 146 6 formula formula NOUN ajst-20796 146 7 of of ADP ajst-20796 146 8 the the DET ajst-20796 146 9 overlapping overlap VERB ajst-20796 146 10 area area NOUN ajst-20796 146 11 is be AUX ajst-20796 146 12 as as SCONJ ajst-20796 146 13 follows follow VERB ajst-20796 146 14 𝑆 𝑆 PROPN ajst-20796 146 15 πœ‚ πœ‚ NOUN ajst-20796 146 16 βˆ™ βˆ™ PROPN ajst-20796 146 17 π‘Š π‘Š PROPN ajst-20796 146 18 βˆ™ βˆ™ PROPN ajst-20796 146 19 𝐿 𝐿 PROPN ajst-20796 146 20 ( ( PUNCT ajst-20796 146 21 45 45 NUM ajst-20796 146 22 ) ) PUNCT ajst-20796 146 23 in in ADP ajst-20796 146 24 summary summary NOUN ajst-20796 146 25 , , PUNCT ajst-20796 146 26 the the DET ajst-20796 146 27 newly newly ADV ajst-20796 146 28 obtained obtain VERB ajst-20796 146 29 mathematical mathematical ADJ ajst-20796 146 30 model model NOUN ajst-20796 146 31 s s PART ajst-20796 146 32 is be AUX ajst-20796 146 33 ⎩ ⎩ NUM ajst-20796 146 34 βŽͺ βŽͺ NOUN ajst-20796 146 35 ⎨ ⎨ PROPN ajst-20796 146 36 βŽͺ βŽͺ NOUN ajst-20796 146 37 ⎧min ⎧min NOUN ajst-20796 146 38 𝑆 𝑆 PROPN ajst-20796 146 39 πœ‚ πœ‚ NOUN ajst-20796 146 40 βˆ™ βˆ™ PUNCT ajst-20796 146 41 π‘Š π‘Š PROPN ajst-20796 146 42 βˆ™ βˆ™ PROPN ajst-20796 146 43 𝐿 𝐿 PROPN ajst-20796 146 44 min min NOUN ajst-20796 146 45 𝑍 𝑍 PROPN ajst-20796 146 46 𝐿 𝐿 PROPN ajst-20796 146 47 ( ( PUNCT ajst-20796 146 48 46 46 NUM ajst-20796 146 49 ) ) PUNCT ajst-20796 146 50 the the DET ajst-20796 146 51 constraint constraint NOUN ajst-20796 146 52 condition condition NOUN ajst-20796 146 53 is be AUX ajst-20796 146 54 |𝑂𝐸|= |𝑂𝐸|= X ajst-20796 146 55 π‘₯ π‘₯ PROPN ajst-20796 146 56 𝑦 𝑦 PROPN ajst-20796 146 57 ( ( PUNCT ajst-20796 146 58 41 41 NUM ajst-20796 146 59 ) ) PUNCT ajst-20796 146 60 𝑦 𝑦 NOUN ajst-20796 146 61 π‘˜ π‘˜ X ajst-20796 146 62 βˆ™ βˆ™ PROPN ajst-20796 146 63 π‘₯ π‘₯ X ajst-20796 146 64 ( ( PUNCT ajst-20796 146 65 42 42 NUM ajst-20796 146 66 ) ) PUNCT ajst-20796 147 1 π‘˜ π‘˜ DET ajst-20796 147 2 𝑦 𝑦 NOUN ajst-20796 147 3 π‘₯ π‘₯ X ajst-20796 147 4 ( ( PUNCT ajst-20796 147 5 43 43 NUM ajst-20796 147 6 ) ) PUNCT ajst-20796 147 7 118 118 NUM ajst-20796 147 8 s.t s.t PROPN ajst-20796 147 9 . . PROPN ajst-20796 147 10 πœ‚ πœ‚ NOUN ajst-20796 147 11 20 20 NUM ajst-20796 147 12 % % NOUN ajst-20796 147 13 0 0 NUM ajst-20796 147 14 π‘₯ π‘₯ PRON ajst-20796 147 15 𝑂𝐸 𝑂𝐸 PROPN ajst-20796 147 16 , , PUNCT ajst-20796 147 17 𝑖 𝑖 NOUN ajst-20796 147 18 1,2,3 1,2,3 NUM ajst-20796 147 19 … … PUNCT ajst-20796 147 20 0 0 NUM ajst-20796 147 21 𝑦 𝑦 NOUN ajst-20796 147 22 𝑑 𝑑 NOUN ajst-20796 147 23 , , PUNCT ajst-20796 147 24 𝑖 𝑖 PROPN ajst-20796 147 25 1,2,3 1,2,3 NUM ajst-20796 147 26 … … PUNCT ajst-20796 147 27 𝛽 𝛽 NOUN ajst-20796 147 28 90 90 NUM ajst-20796 147 29 Β° Β° NOUN ajst-20796 147 30 ( ( PUNCT ajst-20796 147 31 47 47 NUM ajst-20796 147 32 ) ) PUNCT ajst-20796 147 33 the the DET ajst-20796 147 34 procedure procedure NOUN ajst-20796 147 35 for for ADP ajst-20796 147 36 s s NOUN ajst-20796 147 37 is be AUX ajst-20796 147 38 the the DET ajst-20796 147 39 same same ADJ ajst-20796 147 40 as as ADP ajst-20796 147 41 above above ADV ajst-20796 147 42 and and CCONJ ajst-20796 147 43 will will AUX ajst-20796 147 44 not not PART ajst-20796 147 45 be be AUX ajst-20796 147 46 described describe VERB ajst-20796 147 47 here here ADV ajst-20796 147 48 . . PUNCT ajst-20796 148 1 the the DET ajst-20796 148 2 result result NOUN ajst-20796 148 3 of of ADP ajst-20796 148 4 question question NOUN ajst-20796 148 5 4 4 NUM ajst-20796 148 6 is be AUX ajst-20796 148 7 finally finally ADV ajst-20796 148 8 obtained obtain VERB ajst-20796 148 9 , , PUNCT ajst-20796 148 10 as as SCONJ ajst-20796 148 11 shown show VERB ajst-20796 148 12 in in ADP ajst-20796 148 13 table table NOUN ajst-20796 148 14 3 3 NUM ajst-20796 148 15 . . PUNCT ajst-20796 148 16 table table NOUN ajst-20796 148 17 3 3 NUM ajst-20796 148 18 . . PUNCT ajst-20796 149 1 the the DET ajst-20796 149 2 result result NOUN ajst-20796 149 3 of of ADP ajst-20796 149 4 question question NOUN ajst-20796 149 5 4 4 NUM ajst-20796 149 6 as as SCONJ ajst-20796 149 7 can can AUX ajst-20796 149 8 be be AUX ajst-20796 149 9 seen see VERB ajst-20796 149 10 from from ADP ajst-20796 149 11 the the DET ajst-20796 149 12 table table NOUN ajst-20796 149 13 , , PUNCT ajst-20796 149 14 the the DET ajst-20796 149 15 final final ADJ ajst-20796 149 16 total total ADJ ajst-20796 149 17 number number NOUN ajst-20796 149 18 of of ADP ajst-20796 149 19 measured measured ADJ ajst-20796 149 20 lines line NOUN ajst-20796 149 21 is be AUX ajst-20796 149 22 50 50 NUM ajst-20796 149 23 , , PUNCT ajst-20796 149 24 the the DET ajst-20796 149 25 optimal optimal ADJ ajst-20796 149 26 length length NOUN ajst-20796 149 27 is be AUX ajst-20796 149 28 469255.51 469255.51 NUM ajst-20796 149 29 m m NOUN ajst-20796 149 30 , , PUNCT ajst-20796 149 31 the the DET ajst-20796 149 32 area area NOUN ajst-20796 149 33 of of ADP ajst-20796 149 34 overlapping overlap VERB ajst-20796 149 35 area area NOUN ajst-20796 149 36 is be AUX ajst-20796 149 37 0 0 NUM ajst-20796 149 38 . . PUNCT ajst-20796 150 1 the the DET ajst-20796 150 2 area area NOUN ajst-20796 150 3 of of ADP ajst-20796 150 4 unmeasured unmeasured ADJ ajst-20796 150 5 area area NOUN ajst-20796 150 6 is be AUX ajst-20796 150 7 17895500.19π‘š 17895500.19π‘š NUM ajst-20796 150 8 , , PUNCT ajst-20796 150 9 accounting account VERB ajst-20796 150 10 for for ADP ajst-20796 150 11 0.42 0.42 NUM ajst-20796 150 12 % % NOUN ajst-20796 150 13 of of ADP ajst-20796 150 14 the the DET ajst-20796 150 15 total total ADJ ajst-20796 150 16 surface surface NOUN ajst-20796 150 17 area area NOUN ajst-20796 150 18 , , PUNCT ajst-20796 150 19 and and CCONJ ajst-20796 150 20 the the DET ajst-20796 150 21 result result NOUN ajst-20796 150 22 is be AUX ajst-20796 150 23 good good ADJ ajst-20796 151 1 [ [ X ajst-20796 151 2 13 13 NUM ajst-20796 151 3 ] ] SYM ajst-20796 151 4 . . PUNCT ajst-20796 152 1 7 7 X ajst-20796 152 2 . . NOUN ajst-20796 152 3 model model NOUN ajst-20796 152 4 analysis analysis NOUN ajst-20796 152 5 and and CCONJ ajst-20796 152 6 test test VERB ajst-20796 152 7 7.1 7.1 NUM ajst-20796 152 8 . . PUNCT ajst-20796 153 1 model model NOUN ajst-20796 153 2 sensitivity sensitivity NOUN ajst-20796 153 3 analysis analysis NOUN ajst-20796 153 4 sensitivity sensitivity NOUN ajst-20796 153 5 analysis analysis NOUN ajst-20796 153 6 is be AUX ajst-20796 153 7 one one NUM ajst-20796 153 8 of of ADP ajst-20796 153 9 the the DET ajst-20796 153 10 methods method NOUN ajst-20796 153 11 to to PART ajst-20796 153 12 evaluate evaluate VERB ajst-20796 153 13 the the DET ajst-20796 153 14 planning planning NOUN ajst-20796 153 15 model model NOUN ajst-20796 153 16 , , PUNCT ajst-20796 153 17 which which PRON ajst-20796 153 18 is be AUX ajst-20796 153 19 as as ADP ajst-20796 153 20 follows[14 follows[14 PROPN ajst-20796 153 21 ] ] X ajst-20796 153 22 : : PUNCT ajst-20796 153 23 ( ( PUNCT ajst-20796 153 24 1 1 X ajst-20796 153 25 ) ) PUNCT ajst-20796 153 26 set set VERB ajst-20796 153 27 a a DET ajst-20796 153 28 bias bias NOUN ajst-20796 153 29 for for ADP ajst-20796 153 30 the the DET ajst-20796 153 31 required require VERB ajst-20796 153 32 parameters parameter NOUN ajst-20796 153 33 of of ADP ajst-20796 153 34 the the DET ajst-20796 153 35 model model NOUN ajst-20796 153 36 ( ( PUNCT ajst-20796 153 37 take take VERB ajst-20796 153 38 3 3 NUM ajst-20796 153 39 % % NOUN ajst-20796 153 40 , , PUNCT ajst-20796 153 41 6 6 NUM ajst-20796 153 42 % % NOUN ajst-20796 153 43 , , PUNCT ajst-20796 153 44 9 9 NUM ajst-20796 153 45 % % NOUN ajst-20796 153 46 as as ADP ajst-20796 153 47 an an DET ajst-20796 153 48 example example NOUN ajst-20796 153 49 ) ) PUNCT ajst-20796 153 50 . . PUNCT ajst-20796 154 1 ( ( PUNCT ajst-20796 154 2 2 2 X ajst-20796 154 3 ) ) PUNCT ajst-20796 154 4 when when SCONJ ajst-20796 154 5 the the DET ajst-20796 154 6 slope slope NOUN ajst-20796 154 7 angle angle NOUN ajst-20796 154 8 of of ADP ajst-20796 154 9 the the DET ajst-20796 154 10 parameter parameter NOUN ajst-20796 154 11 is be AUX ajst-20796 154 12 changed change VERB ajst-20796 154 13 , , PUNCT ajst-20796 154 14 the the DET ajst-20796 154 15 remaining remain VERB ajst-20796 154 16 parameters parameter NOUN ajst-20796 154 17 are be AUX ajst-20796 154 18 kept keep VERB ajst-20796 154 19 unchanged unchanged ADJ ajst-20796 154 20 to to PART ajst-20796 154 21 observe observe VERB ajst-20796 154 22 whether whether SCONJ ajst-20796 154 23 the the DET ajst-20796 154 24 difference difference NOUN ajst-20796 154 25 between between ADP ajst-20796 154 26 the the DET ajst-20796 154 27 final final ADJ ajst-20796 154 28 results result NOUN ajst-20796 154 29 is be AUX ajst-20796 154 30 significant significant ADJ ajst-20796 154 31 . . PUNCT ajst-20796 155 1 the the DET ajst-20796 155 2 results result NOUN ajst-20796 155 3 are be AUX ajst-20796 155 4 as as SCONJ ajst-20796 155 5 follows follow VERB ajst-20796 155 6 table table NOUN ajst-20796 155 7 4 4 NUM ajst-20796 155 8 . . PUNCT ajst-20796 156 1 the the DET ajst-20796 156 2 results result VERB ajst-20796 156 3 the the DET ajst-20796 156 4 relationship relationship NOUN ajst-20796 156 5 between between ADP ajst-20796 156 6 the the DET ajst-20796 156 7 change change NOUN ajst-20796 156 8 of of ADP ajst-20796 156 9 slope slope NOUN ajst-20796 156 10 angle angle NOUN ajst-20796 156 11 and and CCONJ ajst-20796 156 12 the the DET ajst-20796 156 13 number number NOUN ajst-20796 156 14 of of ADP ajst-20796 156 15 lines line NOUN ajst-20796 156 16 and and CCONJ ajst-20796 156 17 the the DET ajst-20796 156 18 total total ADJ ajst-20796 156 19 length length NOUN ajst-20796 156 20 of of ADP ajst-20796 156 21 lines line NOUN ajst-20796 156 22 is be AUX ajst-20796 156 23 shown show VERB ajst-20796 156 24 in in ADP ajst-20796 156 25 figure figure NOUN ajst-20796 156 26 10 10 NUM ajst-20796 156 27 . . PUNCT ajst-20796 157 1 figure figure NOUN ajst-20796 157 2 10a 10a PROPN ajst-20796 157 3 figure figure NOUN ajst-20796 157 4 10b 10b NOUN ajst-20796 157 5 the the DET ajst-20796 157 6 results result NOUN ajst-20796 157 7 show show VERB ajst-20796 157 8 that that SCONJ ajst-20796 157 9 when when SCONJ ajst-20796 157 10 the the DET ajst-20796 157 11 parameters parameter NOUN ajst-20796 157 12 change change VERB ajst-20796 157 13 , , PUNCT ajst-20796 157 14 the the DET ajst-20796 157 15 model model NOUN ajst-20796 157 16 results result NOUN ajst-20796 157 17 will will AUX ajst-20796 157 18 not not PART ajst-20796 157 19 change change VERB ajst-20796 157 20 greatly greatly ADV ajst-20796 157 21 , , PUNCT ajst-20796 157 22 and and CCONJ ajst-20796 157 23 the the DET ajst-20796 157 24 model model NOUN ajst-20796 157 25 stability stability NOUN ajst-20796 157 26 is be AUX ajst-20796 157 27 reliable reliable ADJ ajst-20796 157 28 . . PUNCT ajst-20796 158 1 7.2 7.2 NUM ajst-20796 158 2 . . PUNCT ajst-20796 158 3 model model NOUN ajst-20796 158 4 error error NOUN ajst-20796 158 5 analysis analysis NOUN ajst-20796 158 6 the the DET ajst-20796 158 7 model model NOUN ajst-20796 158 8 assumes assume VERB ajst-20796 158 9 that that SCONJ ajst-20796 158 10 the the DET ajst-20796 158 11 delay delay NOUN ajst-20796 158 12 caused cause VERB ajst-20796 158 13 by by ADP ajst-20796 158 14 the the DET ajst-20796 158 15 beam beam NOUN ajst-20796 158 16 propagation propagation NOUN ajst-20796 158 17 time time NOUN ajst-20796 158 18 does do AUX ajst-20796 158 19 not not PART ajst-20796 158 20 affect affect VERB ajst-20796 158 21 the the DET ajst-20796 158 22 results result NOUN ajst-20796 158 23 , , PUNCT ajst-20796 158 24 which which PRON ajst-20796 158 25 was be AUX ajst-20796 158 26 reviewed review VERB ajst-20796 158 27 : : PUNCT ajst-20796 158 28 the the DET ajst-20796 158 29 propagation propagation NOUN ajst-20796 158 30 speed speed NOUN ajst-20796 158 31 of of ADP ajst-20796 158 32 sound sound ADJ ajst-20796 158 33 waves wave NOUN ajst-20796 158 34 in in ADP ajst-20796 158 35 seawater seawater NOUN ajst-20796 158 36 . . PUNCT ajst-20796 159 1 the the DET ajst-20796 159 2 main main ADJ ajst-20796 159 3 factors factor NOUN ajst-20796 159 4 of of ADP ajst-20796 159 5 the the DET ajst-20796 159 6 propagation propagation NOUN ajst-20796 159 7 speed speed NOUN ajst-20796 159 8 of of ADP ajst-20796 159 9 sound sound ADJ ajst-20796 159 10 waves wave NOUN ajst-20796 159 11 are be AUX ajst-20796 159 12 temperature temperature NOUN ajst-20796 159 13 , , PUNCT ajst-20796 159 14 salinity salinity NOUN ajst-20796 159 15 and and CCONJ ajst-20796 159 16 pressure pressure NOUN ajst-20796 159 17 ( ( PUNCT ajst-20796 159 18 depth depth NOUN ajst-20796 159 19 ) ) PUNCT ajst-20796 159 20 . . PUNCT ajst-20796 160 1 the the DET ajst-20796 160 2 change change NOUN ajst-20796 160 3 of of ADP ajst-20796 160 4 temperature temperature NOUN ajst-20796 160 5 has have VERB ajst-20796 160 6 the the DET ajst-20796 160 7 greatest great ADJ ajst-20796 160 8 influence influence NOUN ajst-20796 160 9 on on ADP ajst-20796 160 10 sound sound ADJ ajst-20796 160 11 velocity velocity NOUN ajst-20796 160 12 . . PUNCT ajst-20796 161 1 due due ADP ajst-20796 161 2 to to ADP ajst-20796 161 3 the the DET ajst-20796 161 4 uneven uneven ADJ ajst-20796 161 5 distribution distribution NOUN ajst-20796 161 6 of of ADP ajst-20796 161 7 temperature temperature NOUN ajst-20796 161 8 and and CCONJ ajst-20796 161 9 salinity salinity NOUN ajst-20796 161 10 in in ADP ajst-20796 161 11 the the DET ajst-20796 161 12 seawater seawater NOUN ajst-20796 161 13 medium medium NOUN ajst-20796 161 14 , , PUNCT ajst-20796 161 15 the the DET ajst-20796 161 16 distribution distribution NOUN ajst-20796 161 17 of of ADP ajst-20796 161 18 sound sound ADJ ajst-20796 161 19 velocity velocity NOUN ajst-20796 161 20 will will AUX ajst-20796 161 21 be be AUX ajst-20796 161 22 uneven uneven ADJ ajst-20796 161 23 , , PUNCT ajst-20796 161 24 thus thus ADV ajst-20796 161 25 forming form VERB ajst-20796 161 26 a a DET ajst-20796 161 27 sound sound ADJ ajst-20796 161 28 velocity velocity NOUN ajst-20796 161 29 gradient gradient NOUN ajst-20796 161 30 in in ADP ajst-20796 161 31 the the DET ajst-20796 161 32 ocean ocean NOUN ajst-20796 161 33 . . PUNCT ajst-20796 162 1 the the DET ajst-20796 162 2 speed speed NOUN ajst-20796 162 3 of of ADP ajst-20796 162 4 sound sound ADJ ajst-20796 162 5 wave wave NOUN ajst-20796 162 6 propagating propagate VERB ajst-20796 162 7 in in ADP ajst-20796 162 8 the the DET ajst-20796 162 9 seawater seawater NOUN ajst-20796 162 10 is be AUX ajst-20796 162 11 three three NUM ajst-20796 162 12 and and CCONJ ajst-20796 162 13 a a DET ajst-20796 162 14 half half NOUN ajst-20796 162 15 times time NOUN ajst-20796 162 16 faster fast ADJ ajst-20796 162 17 than than ADP ajst-20796 162 18 that that PRON ajst-20796 162 19 in in ADP ajst-20796 162 20 the the DET ajst-20796 162 21 air air NOUN ajst-20796 162 22 ( ( PUNCT ajst-20796 162 23 about about ADP ajst-20796 162 24 1531 1531 NUM ajst-20796 162 25 m m NOUN ajst-20796 162 26 / / SYM ajst-20796 162 27 s)[15 s)[15 NOUN ajst-20796 162 28 ] ] PUNCT ajst-20796 162 29 . . PUNCT ajst-20796 163 1 we we PRON ajst-20796 163 2 estimate estimate VERB ajst-20796 163 3 the the DET ajst-20796 163 4 speed speed NOUN ajst-20796 163 5 of of ADP ajst-20796 163 6 sound sound NOUN ajst-20796 163 7 at at ADP ajst-20796 163 8 1 1 NUM ajst-20796 163 9 nautical nautical ADJ ajst-20796 163 10 mile mile NOUN ajst-20796 163 11 per per ADP ajst-20796 163 12 second second NOUN ajst-20796 163 13 , , PUNCT ajst-20796 163 14 and and CCONJ ajst-20796 163 15 the the DET ajst-20796 163 16 maximum maximum ADJ ajst-20796 163 17 time time NOUN ajst-20796 163 18 for for SCONJ ajst-20796 163 19 the the DET ajst-20796 163 20 beam beam NOUN ajst-20796 163 21 to to PART ajst-20796 163 22 sweep sweep VERB ajst-20796 163 23 the the DET ajst-20796 163 24 rectangular rectangular ADJ ajst-20796 163 25 sea sea NOUN ajst-20796 163 26 area area NOUN ajst-20796 163 27 is be AUX ajst-20796 163 28 not not PART ajst-20796 163 29 more more ADJ ajst-20796 163 30 than than ADP ajst-20796 163 31 5 5 NUM ajst-20796 163 32 seconds second NOUN ajst-20796 163 33 , , PUNCT ajst-20796 163 34 so so SCONJ ajst-20796 163 35 it it PRON ajst-20796 163 36 is be AUX ajst-20796 163 37 easy easy ADJ ajst-20796 163 38 to to PART ajst-20796 163 39 know know VERB ajst-20796 163 40 that that SCONJ ajst-20796 163 41 this this DET ajst-20796 163 42 assumption assumption NOUN ajst-20796 163 43 will will AUX ajst-20796 163 44 not not PART ajst-20796 163 45 introduce introduce VERB ajst-20796 163 46 significant significant ADJ ajst-20796 163 47 errors error NOUN ajst-20796 163 48 . . PUNCT ajst-20796 164 1 8 8 X ajst-20796 164 2 . . X ajst-20796 164 3 evaluation evaluation NOUN ajst-20796 164 4 , , PUNCT ajst-20796 164 5 improvement improvement NOUN ajst-20796 164 6 and and CCONJ ajst-20796 164 7 extension extension NOUN ajst-20796 164 8 of of ADP ajst-20796 164 9 the the DET ajst-20796 164 10 model model NOUN ajst-20796 164 11 8.1 8.1 NUM ajst-20796 164 12 . . PUNCT ajst-20796 165 1 advantages advantage NOUN ajst-20796 165 2 of of ADP ajst-20796 165 3 the the DET ajst-20796 165 4 model model NOUN ajst-20796 165 5 1 1 NUM ajst-20796 165 6 . . PUNCT ajst-20796 166 1 the the DET ajst-20796 166 2 model model NOUN ajst-20796 166 3 is be AUX ajst-20796 166 4 based base VERB ajst-20796 166 5 on on ADP ajst-20796 166 6 the the DET ajst-20796 166 7 integrity integrity NOUN ajst-20796 166 8 of of ADP ajst-20796 166 9 hydrographic hydrographic ADJ ajst-20796 166 10 survey survey NOUN ajst-20796 166 11 and and CCONJ ajst-20796 166 12 has have VERB ajst-20796 166 13 practical practical ADJ ajst-20796 166 14 application application NOUN ajst-20796 166 15 prospects prospect NOUN ajst-20796 166 16 . . PUNCT ajst-20796 167 1 2 2 X ajst-20796 167 2 . . X ajst-20796 167 3 some some DET ajst-20796 167 4 assumptions assumption NOUN ajst-20796 167 5 are be AUX ajst-20796 167 6 made make VERB ajst-20796 167 7 in in ADP ajst-20796 167 8 the the DET ajst-20796 167 9 model model NOUN ajst-20796 167 10 to to PART ajst-20796 167 11 simplify simplify VERB ajst-20796 167 12 the the DET ajst-20796 167 13 problem problem NOUN ajst-20796 167 14 and and CCONJ ajst-20796 167 15 reduce reduce VERB ajst-20796 167 16 the the DET ajst-20796 167 17 amount amount NOUN ajst-20796 167 18 of of ADP ajst-20796 167 19 calculation calculation NOUN ajst-20796 167 20 . . PUNCT ajst-20796 168 1 3 3 X ajst-20796 168 2 . . X ajst-20796 168 3 the the DET ajst-20796 168 4 model model NOUN ajst-20796 168 5 is be AUX ajst-20796 168 6 based base VERB ajst-20796 168 7 on on ADP ajst-20796 168 8 geometric geometric ADJ ajst-20796 168 9 ideas idea NOUN ajst-20796 168 10 and and CCONJ ajst-20796 168 11 simple simple ADJ ajst-20796 168 12 to to PART ajst-20796 168 13 prove prove VERB ajst-20796 168 14 . . PUNCT ajst-20796 169 1 4 4 X ajst-20796 169 2 . . X ajst-20796 169 3 the the DET ajst-20796 169 4 model model NOUN ajst-20796 169 5 qualitatively qualitatively ADV ajst-20796 169 6 analyzes analyze VERB ajst-20796 169 7 the the DET ajst-20796 169 8 effects effect NOUN ajst-20796 169 9 of of ADP ajst-20796 169 10 acoustic acoustic ADJ ajst-20796 169 11 wave wave NOUN ajst-20796 169 12 propagation propagation NOUN ajst-20796 169 13 to to PART ajst-20796 169 14 simplify simplify VERB ajst-20796 169 15 the the DET ajst-20796 169 16 problem problem NOUN ajst-20796 169 17 . . PUNCT ajst-20796 170 1 8.2 8.2 NUM ajst-20796 170 2 . . PUNCT ajst-20796 170 3 disadvantages disadvantage NOUN ajst-20796 170 4 of of ADP ajst-20796 170 5 the the DET ajst-20796 170 6 model model NOUN ajst-20796 170 7 1 1 NUM ajst-20796 170 8 . . PUNCT ajst-20796 170 9 problem problem NOUN ajst-20796 170 10 4 4 NUM ajst-20796 170 11 model model NOUN ajst-20796 170 12 retains retain VERB ajst-20796 170 13 the the DET ajst-20796 170 14 integrity integrity NOUN ajst-20796 170 15 of of ADP ajst-20796 170 16 measurement measurement NOUN ajst-20796 170 17 as as ADV ajst-20796 170 18 much much ADV ajst-20796 170 19 as as ADP ajst-20796 170 20 possible possible ADJ ajst-20796 170 21 , , PUNCT ajst-20796 170 22 and and CCONJ ajst-20796 170 23 the the DET ajst-20796 170 24 measurement measurement NOUN ajst-20796 170 25 line line NOUN ajst-20796 170 26 obtained obtain VERB ajst-20796 170 27 is be AUX ajst-20796 170 28 too too ADV ajst-20796 170 29 long long ADJ ajst-20796 170 30 . . PUNCT ajst-20796 171 1 2 2 X ajst-20796 171 2 . . X ajst-20796 171 3 in in ADP ajst-20796 171 4 the the DET ajst-20796 171 5 modeling modeling NOUN ajst-20796 171 6 of of ADP ajst-20796 171 7 problem problem NOUN ajst-20796 171 8 4 4 NUM ajst-20796 171 9 , , PUNCT ajst-20796 171 10 we we PRON ajst-20796 171 11 chose choose VERB ajst-20796 171 12 the the DET ajst-20796 171 13 fitting fitting ADJ ajst-20796 171 14 graph graph NOUN ajst-20796 171 15 instead instead ADV ajst-20796 171 16 of of ADP ajst-20796 171 17 the the DET ajst-20796 171 18 actual actual ADJ ajst-20796 171 19 surface surface NOUN ajst-20796 171 20 , , PUNCT ajst-20796 171 21 which which PRON ajst-20796 171 22 may may AUX ajst-20796 171 23 result result VERB ajst-20796 171 24 in in ADP ajst-20796 171 25 the the DET ajst-20796 171 26 loss loss NOUN ajst-20796 171 27 of of ADP ajst-20796 171 28 some some DET ajst-20796 171 29 data data NOUN ajst-20796 171 30 points point NOUN ajst-20796 171 31 . . PUNCT ajst-20796 172 1 8.3 8.3 NUM ajst-20796 172 2 . . PUNCT ajst-20796 172 3 model model NOUN ajst-20796 172 4 improvement improvement NOUN ajst-20796 172 5 the the DET ajst-20796 172 6 line line NOUN ajst-20796 172 7 spacing space VERB ajst-20796 172 8 in in ADP ajst-20796 172 9 the the DET ajst-20796 172 10 model model NOUN ajst-20796 172 11 can can AUX ajst-20796 172 12 be be AUX ajst-20796 172 13 assumed assume VERB ajst-20796 172 14 to to PART ajst-20796 172 15 be be AUX ajst-20796 172 16 equal equal ADJ ajst-20796 172 17 spacing spacing NOUN ajst-20796 172 18 , , PUNCT ajst-20796 172 19 which which PRON ajst-20796 172 20 can can AUX ajst-20796 172 21 simplify simplify VERB ajst-20796 172 22 the the DET ajst-20796 172 23 problem problem NOUN ajst-20796 172 24 and and CCONJ ajst-20796 172 25 be be AUX ajst-20796 172 26 easy easy ADJ ajst-20796 172 27 to to PART ajst-20796 172 28 implement implement VERB ajst-20796 172 29 , , PUNCT ajst-20796 172 30 but but CCONJ ajst-20796 172 31 will will AUX ajst-20796 172 32 sacrifice sacrifice VERB ajst-20796 172 33 the the DET ajst-20796 172 34 accuracy accuracy NOUN ajst-20796 172 35 of of ADP ajst-20796 172 36 the the DET ajst-20796 172 37 model model NOUN ajst-20796 172 38 . . PUNCT ajst-20796 173 1 at at ADP ajst-20796 173 2 the the DET ajst-20796 173 3 same same ADJ ajst-20796 173 4 time time NOUN ajst-20796 173 5 , , PUNCT ajst-20796 173 6 for for ADP ajst-20796 173 7 problem problem NOUN ajst-20796 173 8 4 4 NUM ajst-20796 173 9 , , PUNCT ajst-20796 173 10 we we PRON ajst-20796 173 11 can can AUX ajst-20796 173 12 further far ADV ajst-20796 173 13 refine refine VERB ajst-20796 173 14 the the DET ajst-20796 173 15 segmentation segmentation NOUN ajst-20796 173 16 of of ADP ajst-20796 173 17 the the DET ajst-20796 173 18 slope slope NOUN ajst-20796 173 19 bottom bottom NOUN ajst-20796 173 20 and and CCONJ ajst-20796 173 21 divide divide VERB ajst-20796 173 22 it it PRON ajst-20796 173 23 into into ADP ajst-20796 173 24 more more ADJ ajst-20796 173 25 planes plane NOUN ajst-20796 173 26 with with ADP ajst-20796 173 27 different different ADJ ajst-20796 173 28 gradients gradient NOUN ajst-20796 173 29 for for ADP ajst-20796 173 30 solving solve VERB ajst-20796 173 31 , , PUNCT ajst-20796 173 32 so so SCONJ ajst-20796 173 33 as as SCONJ ajst-20796 173 34 to to PART ajst-20796 173 35 improve improve VERB ajst-20796 173 36 119 119 NUM ajst-20796 173 37 the the DET ajst-20796 173 38 accuracy accuracy NOUN ajst-20796 173 39 of of ADP ajst-20796 173 40 the the DET ajst-20796 173 41 model model NOUN ajst-20796 173 42 . . PUNCT ajst-20796 174 1 8.4 8.4 NUM ajst-20796 174 2 . . PUNCT ajst-20796 174 3 model model NOUN ajst-20796 174 4 promotion promotion PROPN ajst-20796 174 5 1 1 X ajst-20796 174 6 . . PUNCT ajst-20796 175 1 in in ADP ajst-20796 175 2 this this DET ajst-20796 175 3 paper paper NOUN ajst-20796 175 4 , , PUNCT ajst-20796 175 5 the the DET ajst-20796 175 6 problem problem NOUN ajst-20796 175 7 of of ADP ajst-20796 175 8 line line NOUN ajst-20796 175 9 layout layout NOUN ajst-20796 175 10 for for ADP ajst-20796 175 11 multi multi ADJ ajst-20796 175 12 - - ADJ ajst-20796 175 13 beam beam ADJ ajst-20796 175 14 measurement measurement NOUN ajst-20796 175 15 of of ADP ajst-20796 175 16 classical classical ADJ ajst-20796 175 17 seabed seabed NOUN ajst-20796 175 18 depth depth NOUN ajst-20796 175 19 is be AUX ajst-20796 175 20 studied study VERB ajst-20796 175 21 , , PUNCT ajst-20796 175 22 which which PRON ajst-20796 175 23 can can AUX ajst-20796 175 24 be be AUX ajst-20796 175 25 applied apply VERB ajst-20796 175 26 to to ADP ajst-20796 175 27 more more ADV ajst-20796 175 28 complex complex ADJ ajst-20796 175 29 seabed seabed NOUN ajst-20796 175 30 sounding sound VERB ajst-20796 175 31 problems problem NOUN ajst-20796 175 32 with with ADP ajst-20796 175 33 improvement improvement NOUN ajst-20796 175 34 . . PUNCT ajst-20796 176 1 2 2 X ajst-20796 176 2 . . PUNCT ajst-20796 176 3 by by ADP ajst-20796 176 4 changing change VERB ajst-20796 176 5 some some DET ajst-20796 176 6 parameters parameter NOUN ajst-20796 176 7 , , PUNCT ajst-20796 176 8 a a DET ajst-20796 176 9 new new ADJ ajst-20796 176 10 method method NOUN ajst-20796 176 11 can can AUX ajst-20796 176 12 be be AUX ajst-20796 176 13 provided provide VERB ajst-20796 176 14 for for ADP ajst-20796 176 15 the the DET ajst-20796 176 16 mapping mapping NOUN ajst-20796 176 17 of of ADP ajst-20796 176 18 various various ADJ ajst-20796 176 19 complex complex ADJ ajst-20796 176 20 maps map NOUN ajst-20796 176 21 . . PUNCT ajst-20796 177 1 3 3 X ajst-20796 177 2 . . X ajst-20796 177 3 it it PRON ajst-20796 177 4 can can AUX ajst-20796 177 5 be be AUX ajst-20796 177 6 applied apply VERB ajst-20796 177 7 to to ADP ajst-20796 177 8 the the DET ajst-20796 177 9 design design NOUN ajst-20796 177 10 of of ADP ajst-20796 177 11 3d 3d NUM ajst-20796 177 12 imaging imaging NOUN ajst-20796 177 13 technology technology NOUN ajst-20796 177 14 to to PART ajst-20796 177 15 scan scan VERB ajst-20796 177 16 the the DET ajst-20796 177 17 physical physical ADJ ajst-20796 177 18 path path NOUN ajst-20796 177 19 . . PUNCT ajst-20796 178 1 references reference NOUN ajst-20796 178 2 [ [ X ajst-20796 178 3 1 1 NUM ajst-20796 178 4 ] ] X ajst-20796 178 5 cheng cheng PROPN ajst-20796 178 6 fang fang PROPN ajst-20796 178 7 , , PUNCT ajst-20796 178 8 hu hu PROPN ajst-20796 178 9 niancheng niancheng PROPN ajst-20796 178 10 . . PUNCT ajst-20796 179 1 research research NOUN ajst-20796 179 2 on on ADP ajst-20796 179 3 optimization optimization NOUN ajst-20796 179 4 method method NOUN ajst-20796 179 5 of of ADP ajst-20796 179 6 multi multi ADJ ajst-20796 179 7 - - ADJ ajst-20796 179 8 beam beam ADJ ajst-20796 179 9 survey survey NOUN ajst-20796 179 10 line line NOUN ajst-20796 179 11 layout layout NOUN ajst-20796 180 1 [ [ X ajst-20796 180 2 j j X ajst-20796 180 3 ] ] X ajst-20796 180 4 . . PUNCT ajst-20796 181 1 journal journal PROPN ajst-20796 181 2 of of ADP ajst-20796 181 3 marine marine PROPN ajst-20796 181 4 technology,2016,35(02):87 technology,2016,35(02):87 NOUN ajst-20796 181 5 - - PUNCT ajst-20796 181 6 91 91 NUM ajst-20796 181 7 . . PUNCT ajst-20796 182 1 [ [ X ajst-20796 182 2 2 2 X ajst-20796 182 3 ] ] X ajst-20796 182 4 wang wang PROPN ajst-20796 182 5 ning ning PROPN ajst-20796 182 6 , , PUNCT ajst-20796 182 7 huang huang PROPN ajst-20796 182 8 jing jing PROPN ajst-20796 182 9 , , PUNCT ajst-20796 182 10 rao rao PROPN ajst-20796 182 11 tiantian tiantian PROPN ajst-20796 182 12 . . PUNCT ajst-20796 183 1 line line NOUN ajst-20796 183 2 optimization optimization NOUN ajst-20796 183 3 model model NOUN ajst-20796 183 4 in in ADP ajst-20796 183 5 the the DET ajst-20796 183 6 case case NOUN ajst-20796 183 7 of of ADP ajst-20796 183 8 multi multi ADJ ajst-20796 183 9 - - ADJ ajst-20796 183 10 beam beam ADJ ajst-20796 183 11 sounding sound VERB ajst-20796 183 12 system system NOUN ajst-20796 184 1 [ [ X ajst-20796 184 2 j j X ajst-20796 184 3 ] ] X ajst-20796 184 4 . . PUNCT ajst-20796 185 1 journal journal PROPN ajst-20796 185 2 of of ADP ajst-20796 185 3 electroacoustic electroacoustic ADJ ajst-20796 185 4 technology technology NOUN ajst-20796 185 5 , , PUNCT ajst-20796 185 6 2023,47 2023,47 NUM ajst-20796 185 7 ( ( PUNCT ajst-20796 185 8 6 6 NUM ajst-20796 185 9 ) ) PUNCT ajst-20796 185 10 : : PUNCT ajst-20796 186 1 61 61 NUM ajst-20796 186 2 - - SYM ajst-20796 186 3 64 64 NUM ajst-20796 186 4 . . PUNCT ajst-20796 187 1 the the DET ajst-20796 187 2 doi doi NOUN ajst-20796 187 3 : : PUNCT ajst-20796 187 4 10.16311 10.16311 NUM ajst-20796 187 5 / / SYM ajst-20796 187 6 j.a j.a PROPN ajst-20796 187 7 udioe udioe NOUN ajst-20796 187 8 . . PUNCT ajst-20796 188 1 2023.06.018 2023.06.018 NUM ajst-20796 188 2 . . PUNCT ajst-20796 189 1 [ [ X ajst-20796 189 2 3 3 NUM ajst-20796 189 3 ] ] X ajst-20796 189 4 shallow shallow ADJ ajst-20796 189 5 multi multi ADJ ajst-20796 189 6 - - ADJ ajst-20796 189 7 beam beam ADJ ajst-20796 189 8 sounding sound VERB ajst-20796 189 9 sonar sonar ADJ ajst-20796 189 10 technology technology NOUN ajst-20796 189 11 innovation innovation NOUN ajst-20796 189 12 and and CCONJ ajst-20796 189 13 application application NOUN ajst-20796 189 14 [ [ X ajst-20796 189 15 j j X ajst-20796 189 16 ] ] X ajst-20796 189 17 . . PUNCT ajst-20796 190 1 ocean ocean PROPN ajst-20796 190 2 development development NOUN ajst-20796 190 3 and and CCONJ ajst-20796 190 4 management management NOUN ajst-20796 190 5 , , PUNCT ajst-20796 190 6 2012 2012 NUM ajst-20796 190 7 , , PUNCT ajst-20796 190 8 29 29 NUM ajst-20796 190 9 ( ( PUNCT ajst-20796 190 10 08 08 NUM ajst-20796 190 11 ) ) PUNCT ajst-20796 190 12 : : PUNCT ajst-20796 191 1 37 37 NUM ajst-20796 191 2 , , PUNCT ajst-20796 191 3 38 38 NUM ajst-20796 191 4 , , PUNCT ajst-20796 191 5 doi doi NOUN ajst-20796 191 6 : : PUNCT ajst-20796 191 7 10.20016 10.20016 NUM ajst-20796 191 8 / / SYM ajst-20796 191 9 j.carol j.carol PROPN ajst-20796 191 10 carroll carroll PROPN ajst-20796 191 11 nki nki PROPN ajst-20796 191 12 hykfygl hykfygl PROPN ajst-20796 191 13 . . PUNCT ajst-20796 192 1 2012.08.022 2012.08.022 NOUN ajst-20796 192 2 . . PUNCT ajst-20796 193 1 [ [ X ajst-20796 193 2 4 4 NUM ajst-20796 193 3 ] ] X ajst-20796 193 4 hai hai PROPN ajst-20796 193 5 - - PUNCT ajst-20796 193 6 sen sen PROPN ajst-20796 193 7 li li PROPN ajst-20796 193 8 , , PUNCT ajst-20796 193 9 shan shan PROPN ajst-20796 193 10 , , PUNCT ajst-20796 193 11 sunday sunday PROPN ajst-20796 193 12 . . PUNCT ajst-20796 194 1 based base VERB ajst-20796 194 2 on on ADP ajst-20796 194 3 spatial spatial ADJ ajst-20796 194 4 smoothing smoothing NOUN ajst-20796 194 5 of of ADP ajst-20796 194 6 multibeam multibeam NOUN ajst-20796 194 7 sounding sound VERB ajst-20796 194 8 sonar sonar ADJ ajst-20796 194 9 coherent coherent ADJ ajst-20796 194 10 distributed distribute VERB ajst-20796 194 11 source source NOUN ajst-20796 194 12 azimuth azimuth NOUN ajst-20796 194 13 estimation estimation NOUN ajst-20796 195 1 [ [ X ajst-20796 195 2 j j X ajst-20796 195 3 ] ] X ajst-20796 195 4 . . PUNCT ajst-20796 196 1 journal journal PROPN ajst-20796 196 2 of of ADP ajst-20796 196 3 vibration vibration NOUN ajst-20796 196 4 and and CCONJ ajst-20796 196 5 shock shock NOUN ajst-20796 196 6 , , PUNCT ajst-20796 196 7 2014 2014 NUM ajst-20796 196 8 ( ( PUNCT ajst-20796 196 9 4 4 NUM ajst-20796 196 10 ) ) PUNCT ajst-20796 196 11 : : PUNCT ajst-20796 196 12 138142 138142 NUM ajst-20796 196 13 . . PUNCT ajst-20796 197 1 the the DET ajst-20796 197 2 doi doi NOUN ajst-20796 197 3 : : PUNCT ajst-20796 197 4 10.13465 10.13465 NUM ajst-20796 197 5 / / SYM ajst-20796 197 6 j.carol j.carol PROPN ajst-20796 197 7 carroll carroll PROPN ajst-20796 197 8 nki nki PROPN ajst-20796 197 9 jvs jvs PROPN ajst-20796 197 10 . . PUNCT ajst-20796 197 11 2014.04.024 2014.04.024 NUM ajst-20796 197 12 . . PUNCT ajst-20796 198 1 [ [ X ajst-20796 198 2 5 5 X ajst-20796 198 3 ] ] PUNCT ajst-20796 198 4 zheng zheng PROPN ajst-20796 198 5 peng peng PROPN ajst-20796 198 6 , , PUNCT ajst-20796 198 7 zhang zhang PROPN ajst-20796 198 8 hua hua PROPN ajst-20796 198 9 , , PUNCT ajst-20796 198 10 zi zi PROPN ajst-20796 198 11 - - PROPN ajst-20796 198 12 ying ying PROPN ajst-20796 198 13 pan pan PROPN ajst-20796 198 14 , , PUNCT ajst-20796 198 15 etc etc X ajst-20796 198 16 . . X ajst-20796 198 17 multi multi ADJ ajst-20796 198 18 - - ADJ ajst-20796 198 19 beam beam ADJ ajst-20796 198 20 sounding sound VERB ajst-20796 198 21 sonar sonar ADJ ajst-20796 198 22 imaging imaging NOUN ajst-20796 198 23 simulation simulation NOUN ajst-20796 198 24 and and CCONJ ajst-20796 198 25 range range VERB ajst-20796 198 26 analysis analysis NOUN ajst-20796 198 27 [ [ X ajst-20796 198 28 j j X ajst-20796 198 29 ] ] X ajst-20796 198 30 . . PUNCT ajst-20796 198 31 journal journal PROPN ajst-20796 198 32 of of ADP ajst-20796 198 33 digital digital ADJ ajst-20796 198 34 ocean ocean NOUN ajst-20796 198 35 and and CCONJ ajst-20796 198 36 underwater underwater ADJ ajst-20796 198 37 offensive offensive NOUN ajst-20796 198 38 and and CCONJ ajst-20796 198 39 defensive defensive ADJ ajst-20796 198 40 , , PUNCT ajst-20796 198 41 2023 2023 NUM ajst-20796 198 42 , , PUNCT ajst-20796 198 43 6 6 NUM ajst-20796 198 44 ( ( PUNCT ajst-20796 198 45 6 6 NUM ajst-20796 198 46 ) ) PUNCT ajst-20796 198 47 : : PUNCT ajst-20796 198 48 664 664 NUM ajst-20796 198 49 - - SYM ajst-20796 198 50 669 669 NUM ajst-20796 198 51 . . PUNCT ajst-20796 199 1 the the DET ajst-20796 199 2 doi doi NOUN ajst-20796 199 3 : : PUNCT ajst-20796 199 4 10.19838 10.19838 NUM ajst-20796 199 5 / / SYM ajst-20796 199 6 j.i j.i X ajst-20796 199 7 ssn ssn PROPN ajst-20796 199 8 . . PUNCT ajst-20796 199 9 20965753.2023.06.003 20965753.2023.06.003 NOUN ajst-20796 199 10 . . PUNCT ajst-20796 200 1 [ [ X ajst-20796 200 2 6 6 NUM ajst-20796 200 3 ] ] X ajst-20796 200 4 yang yang PROPN ajst-20796 200 5 jian jian PROPN ajst-20796 200 6 . . PUNCT ajst-20796 200 7 sonar sonar ADJ ajst-20796 200 8 technology technology NOUN ajst-20796 200 9 application application NOUN ajst-20796 200 10 in in ADP ajst-20796 200 11 marine marine ADJ ajst-20796 200 12 resources resource NOUN ajst-20796 200 13 exploration exploration NOUN ajst-20796 200 14 and and CCONJ ajst-20796 200 15 development development NOUN ajst-20796 201 1 [ [ X ajst-20796 201 2 j j X ajst-20796 201 3 ] ] X ajst-20796 201 4 . . PUNCT ajst-20796 202 1 journal journal PROPN ajst-20796 202 2 of of ADP ajst-20796 202 3 electroacoustic electroacoustic ADJ ajst-20796 202 4 technology technology NOUN ajst-20796 202 5 , , PUNCT ajst-20796 202 6 2023,47 2023,47 NUM ajst-20796 202 7 ( ( PUNCT ajst-20796 202 8 12 12 NUM ajst-20796 202 9 ) ) PUNCT ajst-20796 202 10 : : PUNCT ajst-20796 203 1 27 27 NUM ajst-20796 203 2 - - SYM ajst-20796 203 3 29 29 NUM ajst-20796 203 4 . . PUNCT ajst-20796 203 5 doi doi NOUN ajst-20796 203 6 : : PUNCT ajst-20796 203 7 10.16311 10.16311 NUM ajst-20796 203 8 / / SYM ajst-20796 203 9 j.a j.a PROPN ajst-20796 203 10 udioe udioe NOUN ajst-20796 203 11 . . PUNCT ajst-20796 204 1 2023.12.006 2023.12.006 NUM ajst-20796 204 2 . . PUNCT ajst-20796 205 1 [ [ X ajst-20796 205 2 7 7 X ajst-20796 205 3 ] ] X ajst-20796 205 4 wu wu PROPN ajst-20796 205 5 xiaolong xiaolong PROPN ajst-20796 205 6 . . PUNCT ajst-20796 206 1 data datum NOUN ajst-20796 206 2 management management NOUN ajst-20796 206 3 platform platform NOUN ajst-20796 206 4 of of ADP ajst-20796 206 5 multi multi ADJ ajst-20796 206 6 - - ADJ ajst-20796 206 7 beam beam ADJ ajst-20796 206 8 sounding sound VERB ajst-20796 206 9 sonar sonar ADJ ajst-20796 206 10 system system NOUN ajst-20796 207 1 [ [ X ajst-20796 207 2 d d X ajst-20796 207 3 ] ] X ajst-20796 207 4 . . PUNCT ajst-20796 208 1 harbin harbin PROPN ajst-20796 208 2 engineering engineer VERB ajst-20796 208 3 university,2018 university,2018 NOUN ajst-20796 208 4 . . PUNCT ajst-20796 209 1 [ [ X ajst-20796 209 2 8 8 NUM ajst-20796 209 3 ] ] X ajst-20796 209 4 sun sun NOUN ajst-20796 209 5 dejun dejun PROPN ajst-20796 209 6 , , PUNCT ajst-20796 209 7 deng deng PROPN ajst-20796 209 8 yuhang yuhang PROPN ajst-20796 209 9 , , PUNCT ajst-20796 209 10 zhu zhu PROPN ajst-20796 209 11 suqian suqian NOUN ajst-20796 209 12 . . PUNCT ajst-20796 210 1 multi multi ADJ ajst-20796 210 2 - - ADJ ajst-20796 210 3 beam beam ADJ ajst-20796 210 4 sounding sound VERB ajst-20796 210 5 model model NOUN ajst-20796 210 6 based base VERB ajst-20796 210 7 on on ADP ajst-20796 210 8 grid grid NOUN ajst-20796 210 9 processing processing NOUN ajst-20796 210 10 and and CCONJ ajst-20796 210 11 ergodic ergodic ADJ ajst-20796 210 12 search search NOUN ajst-20796 210 13 algorithm algorithm NOUN ajst-20796 211 1 [ [ X ajst-20796 211 2 j j X ajst-20796 211 3 ] ] X ajst-20796 211 4 . . PUNCT ajst-20796 212 1 journal journal PROPN ajst-20796 212 2 of of ADP ajst-20796 212 3 nantong nantong PROPN ajst-20796 212 4 vocational vocational PROPN ajst-20796 212 5 university,2023,37(04):70 university,2023,37(04):70 PROPN ajst-20796 212 6 - - PUNCT ajst-20796 212 7 76 76 NUM ajst-20796 212 8 . . PUNCT ajst-20796 213 1 [ [ X ajst-20796 213 2 9 9 NUM ajst-20796 213 3 ] ] X ajst-20796 213 4 kong kong PROPN ajst-20796 213 5 zaojie zaojie PROPN ajst-20796 213 6 , , PUNCT ajst-20796 213 7 operations operation NOUN ajst-20796 213 8 research research NOUN ajst-20796 213 9 [ [ X ajst-20796 213 10 m m X ajst-20796 213 11 ] ] X ajst-20796 213 12 , , PUNCT ajst-20796 213 13 china china PROPN ajst-20796 213 14 machine machine PROPN ajst-20796 213 15 press press PROPN ajst-20796 213 16 , , PUNCT ajst-20796 213 17 2007.06 2007.06 NUM ajst-20796 213 18 . . PUNCT ajst-20796 214 1 [ [ X ajst-20796 214 2 10 10 NUM ajst-20796 214 3 ] ] X ajst-20796 214 4 code code NOUN ajst-20796 214 5 for for ADP ajst-20796 214 6 hydrographic hydrographic ADJ ajst-20796 214 7 survey survey NOUN ajst-20796 214 8 [ [ X ajst-20796 214 9 m m X ajst-20796 214 10 ] ] X ajst-20796 214 11 , , PUNCT ajst-20796 214 12 ( ( PUNCT ajst-20796 214 13 gb12327 gb12327 PROPN ajst-20796 214 14 - - PUNCT ajst-20796 214 15 1988 1988 NUM ajst-20796 214 16 ) ) PUNCT ajst-20796 214 17 , , PUNCT ajst-20796 214 18 1988 1988 NUM ajst-20796 214 19 . . PUNCT ajst-20796 215 1 [ [ X ajst-20796 215 2 11 11 NUM ajst-20796 215 3 ] ] X ajst-20796 215 4 zhang zhang PROPN ajst-20796 215 5 xu xu PROPN ajst-20796 215 6 , , PUNCT ajst-20796 215 7 ye ye PRON ajst-20796 215 8 carefully carefully ADV ajst-20796 215 9 , , PUNCT ajst-20796 215 10 hong hong PROPN ajst-20796 215 11 demei demei PROPN ajst-20796 215 12 . . PUNCT ajst-20796 216 1 research research NOUN ajst-20796 216 2 on on ADP ajst-20796 216 3 line line NOUN ajst-20796 216 4 layout layout NOUN ajst-20796 216 5 method method NOUN ajst-20796 216 6 of of ADP ajst-20796 216 7 multi multi ADJ ajst-20796 216 8 - - ADJ ajst-20796 216 9 beam beam ADJ ajst-20796 216 10 system system NOUN ajst-20796 216 11 in in ADP ajst-20796 216 12 hydrographic hydrographic ADJ ajst-20796 216 13 survey survey NOUN ajst-20796 216 14 of of ADP ajst-20796 216 15 yangtze yangtze PROPN ajst-20796 216 16 river river PROPN ajst-20796 217 1 [ [ X ajst-20796 217 2 j j X ajst-20796 217 3 ] ] X ajst-20796 217 4 . . PUNCT ajst-20796 218 1 china china PROPN ajst-20796 218 2 water water PROPN ajst-20796 218 3 transport transport PROPN ajst-20796 218 4 . . PUNCT ajst-20796 219 1 channel channel NOUN ajst-20796 219 2 of of ADP ajst-20796 219 3 science science NOUN ajst-20796 219 4 and and CCONJ ajst-20796 219 5 technology technology NOUN ajst-20796 219 6 , , PUNCT ajst-20796 219 7 2017 2017 NUM ajst-20796 219 8 ( ( PUNCT ajst-20796 219 9 01 01 NUM ajst-20796 219 10 ) ) PUNCT ajst-20796 219 11 : : PUNCT ajst-20796 219 12 52 52 NUM ajst-20796 219 13 - - SYM ajst-20796 219 14 55 55 NUM ajst-20796 219 15 , , PUNCT ajst-20796 219 16 doi doi NOUN ajst-20796 219 17 : : PUNCT ajst-20796 219 18 10.19412 10.19412 NUM ajst-20796 219 19 / / SYM ajst-20796 219 20 j.carol j.carol PROPN ajst-20796 219 21 carroll carroll PROPN ajst-20796 219 22 nki nki PROPN ajst-20796 219 23 . . PUNCT ajst-20796 220 1 42 42 NUM ajst-20796 220 2 - - SYM ajst-20796 220 3 1395 1395 NUM ajst-20796 220 4 / / SYM ajst-20796 220 5 u u NOUN ajst-20796 220 6 2017.01.011 2017.01.011 NUM ajst-20796 220 7 . . PUNCT ajst-20796 221 1 [ [ X ajst-20796 221 2 12 12 NUM ajst-20796 221 3 ] ] X ajst-20796 221 4 peng peng PROPN ajst-20796 221 5 dongdong dongdong PROPN ajst-20796 221 6 . . PUNCT ajst-20796 222 1 based base VERB ajst-20796 222 2 on on ADP ajst-20796 222 3 multi multi ADJ ajst-20796 222 4 - - ADJ ajst-20796 222 5 beam beam ADJ ajst-20796 222 6 sounding sound VERB ajst-20796 222 7 sonar sonar ADJ ajst-20796 222 8 underwater underwater ADJ ajst-20796 222 9 terrain terrain NOUN ajst-20796 222 10 aided aid VERB ajst-20796 222 11 navigation navigation NOUN ajst-20796 222 12 and and CCONJ ajst-20796 222 13 positioning positioning NOUN ajst-20796 222 14 method method NOUN ajst-20796 222 15 research research NOUN ajst-20796 223 1 [ [ X ajst-20796 223 2 d d X ajst-20796 223 3 ] ] X ajst-20796 223 4 . . PUNCT ajst-20796 224 1 harbin harbin PROPN ajst-20796 224 2 engineering engineering PROPN ajst-20796 224 3 university university PROPN ajst-20796 224 4 , , PUNCT ajst-20796 224 5 2022 2022 NUM ajst-20796 224 6 . . PUNCT ajst-20796 225 1 the the DET ajst-20796 225 2 doi doi NOUN ajst-20796 225 3 : : PUNCT ajst-20796 225 4 10.27060 10.27060 NUM ajst-20796 225 5 / / SYM ajst-20796 225 6 , , PUNCT ajst-20796 225 7 dc dc PROPN ajst-20796 225 8 nki nki PROPN ajst-20796 225 9 . . PUNCT ajst-20796 225 10 ghbcu ghbcu PROPN ajst-20796 225 11 . . PUNCT ajst-20796 226 1 2022.000048 2022.000048 NOUN ajst-20796 226 2 . . PUNCT ajst-20796 227 1 [ [ X ajst-20796 227 2 13 13 NUM ajst-20796 227 3 ] ] PUNCT ajst-20796 227 4 the the DET ajst-20796 227 5 multi multi ADJ ajst-20796 227 6 - - ADJ ajst-20796 227 7 beam beam ADJ ajst-20796 227 8 sounding sound VERB ajst-20796 227 9 system system NOUN ajst-20796 227 10 measurement measurement NOUN ajst-20796 227 11 technology technology NOUN ajst-20796 227 12 requirements requirement VERB ajst-20796 227 13 [ [ X ajst-20796 227 14 m m X ajst-20796 227 15 ] ] X ajst-20796 227 16 ( ( PUNCT ajst-20796 227 17 jt jt PROPN ajst-20796 227 18 / / SYM ajst-20796 227 19 t790 t790 NUM ajst-20796 227 20 - - SYM ajst-20796 227 21 2010 2010 NUM ajst-20796 227 22 ) ) PUNCT ajst-20796 227 23 , , PUNCT ajst-20796 228 1 [ [ X ajst-20796 228 2 14 14 NUM ajst-20796 228 3 ] ] X ajst-20796 228 4 yang yang PROPN ajst-20796 228 5 lijuan lijuan PROPN ajst-20796 228 6 , , PUNCT ajst-20796 228 7 zhang zhang PROPN ajst-20796 228 8 xining xining PROPN ajst-20796 228 9 , , PUNCT ajst-20796 228 10 wang wang PROPN ajst-20796 228 11 baojian baojian PROPN ajst-20796 228 12 et et PROPN ajst-20796 228 13 al al PROPN ajst-20796 228 14 . . PROPN ajst-20796 228 15 , , PUNCT ajst-20796 228 16 2010 2010 NUM ajst-20796 228 17 . . PUNCT ajst-20796 229 1 development development NOUN ajst-20796 229 2 and and CCONJ ajst-20796 229 3 application application NOUN ajst-20796 229 4 of of ADP ajst-20796 229 5 multi multi ADJ ajst-20796 229 6 - - ADJ ajst-20796 229 7 scale scale ADJ ajst-20796 229 8 linear linear ADJ ajst-20796 229 9 displacement displacement NOUN ajst-20796 229 10 measurement measurement NOUN ajst-20796 229 11 experimental experimental ADJ ajst-20796 229 12 system system NOUN ajst-20796 229 13 -a -a X ajst-20796 229 14 case case NOUN ajst-20796 229 15 study study NOUN ajst-20796 229 16 of of ADP ajst-20796 229 17 " " PUNCT ajst-20796 229 18 mechanical mechanical ADJ ajst-20796 229 19 engineering engineering NOUN ajst-20796 229 20 test test NOUN ajst-20796 229 21 technology technology NOUN ajst-20796 229 22 " " PUNCT ajst-20796 229 23 course course NOUN ajst-20796 230 1 [ [ X ajst-20796 230 2 j j X ajst-20796 230 3 ] ] X ajst-20796 230 4 . . PUNCT ajst-20796 231 1 ministry ministry PROPN ajst-20796 231 2 of of ADP ajst-20796 231 3 industry industry PROPN ajst-20796 231 4 and and CCONJ ajst-20796 231 5 information information NOUN ajst-20796 231 6 technology technology NOUN ajst-20796 231 7 education education NOUN ajst-20796 231 8 , , PUNCT ajst-20796 231 9 2024 2024 NUM ajst-20796 231 10 ( ( PUNCT ajst-20796 231 11 02 02 NUM ajst-20796 231 12 ) ) PUNCT ajst-20796 231 13 : : PUNCT ajst-20796 232 1 71 71 NUM ajst-20796 232 2 - - SYM ajst-20796 232 3 75 75 NUM ajst-20796 232 4 + + NUM ajst-20796 232 5 90 90 NUM ajst-20796 232 6 . . PUNCT ajst-20796 233 1 [ [ X ajst-20796 233 2 15 15 NUM ajst-20796 233 3 ] ] X ajst-20796 233 4 baidu baidu NOUN ajst-20796 233 5 encyclopedia encyclopedia NOUN ajst-20796 233 6 [ [ X ajst-20796 233 7 ol ol X ajst-20796 233 8 ] ] X ajst-20796 233 9 , , PUNCT ajst-20796 233 10 water water NOUN ajst-20796 233 11 velocity velocity NOUN ajst-20796 233 12 and and CCONJ ajst-20796 233 13 water water NOUN ajst-20796 233 14 velocity velocity NOUN ajst-20796 233 15 / / SYM ajst-20796 233 16 6118123 6118123 NUM ajst-20796 233 17 https://baike.baidu.com/item/ https://baike.baidu.com/item/ NOUN ajst-20796 233 18 ? ? PUNCT ajst-20796 234 1 fr fr PROPN ajst-20796 234 2 = = PUNCT ajst-20796 234 3 ge ge PROPN ajst-20796 234 4 ala ala PROPN ajst-20796 234 5 , , PUNCT ajst-20796 234 6 2023/9/10 2023/9/10 NUM ajst-20796 234 7 . . PUNCT