id sid tid token lemma pos iajs-2474 1 1 microsoft microsoft PROPN iajs-2474 1 2 word word NOUN iajs-2474 1 3 68 68 NUM iajs-2474 1 4 - - SYM iajs-2474 1 5 79 79 NUM iajs-2474 1 6     SPACE iajs-2474 1 7 68 68 NUM iajs-2474 1 8 ibn ibn PROPN iajs-2474 1 9 al al PROPN iajs-2474 1 10 - - PUNCT iajs-2474 1 11 haitham haitham PROPN iajs-2474 1 12 jour jour X iajs-2474 1 13 . . PROPN iajs-2474 2 1 for for ADP iajs-2474 2 2 pure pure ADJ iajs-2474 2 3 & & CCONJ iajs-2474 2 4 appl appl PROPN iajs-2474 2 5 . . PUNCT iajs-2474 3 1 sci sci PROPN iajs-2474 3 2 . . PROPN iajs-2474 4 1 33 33 NUM iajs-2474 4 2 ( ( PUNCT iajs-2474 4 3 3 3 NUM iajs-2474 4 4 ) ) PUNCT iajs-2474 4 5 2020 2020 NUM iajs-2474 4 6             SPACE iajs-2474 4 7 on on ADP iajs-2474 4 8 𝐍𝐚𝐧𝐨 𝐍𝐚𝐧𝐨 PROPN iajs-2474 4 9 ẛـ𝐩𝐫𝐞ـ𝐠ـ𝐎𝐩𝐞𝐧 ẛـ𝐩𝐫𝐞ـ𝐠ـ𝐎𝐩𝐞𝐧 PROPN iajs-2474 5 1 𝐒𝐞𝐭 𝐒𝐞𝐭 PROPN iajs-2474 5 2 rana rana PROPN iajs-2474 5 3 b. b. PROPN iajs-2474 5 4 esmaeel esmaeel PROPN iajs-2474 5 5 ahmed ahmed PROPN iajs-2474 5 6 . . PUNCT iajs-2474 6 1 a. a. PROPN iajs-2474 6 2 jassam jassam PROPN iajs-2474 6 3 department department PROPN iajs-2474 6 4 of of ADP iajs-2474 6 5 mathematics mathematics PROPN iajs-2474 6 6 , , PUNCT iajs-2474 6 7 college college NOUN iajs-2474 6 8 of of ADP iajs-2474 6 9 education education NOUN iajs-2474 6 10 for for ADP iajs-2474 6 11 pure pure ADJ iajs-2474 6 12 sciences science NOUN iajs-2474 6 13 , , PUNCT iajs-2474 6 14 ibn ibn PROPN iajs-2474 6 15 al al PROPN iajs-2474 6 16 - - PUNCT iajs-2474 6 17 haitham haitham PROPN iajs-2474 6 18 , , PUNCT iajs-2474 6 19 university university PROPN iajs-2474 6 20 of of ADP iajs-2474 6 21 baghdad baghdad PROPN iajs-2474 6 22 , , PUNCT iajs-2474 6 23 baghdad baghdad PROPN iajs-2474 6 24 , , PUNCT iajs-2474 6 25 iraq iraq PROPN iajs-2474 6 26 . . PUNCT iajs-2474 6 27                         SPACE iajs-2474 7 1 ranamumosa@yahoo.com ranamumosa@yahoo.com X iajs-2474 7 2 ahm7a7a@gmail.com ahm7a7a@gmail.com X iajs-2474 8 1 abstract abstract ADJ iajs-2474 8 2 in in ADP iajs-2474 8 3 this this DET iajs-2474 8 4 work work NOUN iajs-2474 8 5 , , PUNCT iajs-2474 8 6 the the DET iajs-2474 8 7 notion notion NOUN iajs-2474 8 8 ňẛـpre ňẛـpre NOUN iajs-2474 8 9 ـg ـg ADP iajs-2474 8 10 ـopenset ـopenset VERB iajs-2474 8 11 is be AUX iajs-2474 8 12 defined define VERB iajs-2474 8 13 by by ADP iajs-2474 8 14 using use VERB iajs-2474 8 15 nano nano ADJ iajs-2474 8 16 topological topological ADJ iajs-2474 8 17 space space NOUN iajs-2474 8 18 and and CCONJ iajs-2474 8 19 some some DET iajs-2474 8 20 properties property NOUN iajs-2474 8 21 of of ADP iajs-2474 8 22 this this DET iajs-2474 8 23 set set NOUN iajs-2474 8 24 are be AUX iajs-2474 8 25 studied study VERB iajs-2474 8 26 also also ADV iajs-2474 8 27 , , PUNCT iajs-2474 8 28 nano nano NOUN iajs-2474 8 29 ẛـpreـgـδـset ẛـpreـgـδـset NOUN iajs-2474 8 30 and and CCONJ iajs-2474 8 31 nano nano NOUN iajs-2474 8 32 ẛـpreـgـμـclosedset ẛـpreـgـμـclosedset NOUN iajs-2474 8 33 are be AUX iajs-2474 8 34 two two NUM iajs-2474 8 35 concepts concept NOUN iajs-2474 8 36 that that PRON iajs-2474 8 37 are be AUX iajs-2474 8 38 defined define VERB iajs-2474 8 39 by by ADP iajs-2474 8 40 using use VERB iajs-2474 8 41 ňẛـpre ňẛـpre NOUN iajs-2474 8 42 ـg ـg ADP iajs-2474 8 43 ـopen ـopen NOUN iajs-2474 8 44 set set VERB iajs-2474 8 45 ; ; PUNCT iajs-2474 8 46 many many ADJ iajs-2474 8 47 examples example NOUN iajs-2474 8 48 have have AUX iajs-2474 8 49 been be AUX iajs-2474 8 50 cited cite VERB iajs-2474 8 51 to to PART iajs-2474 8 52 indicate indicate VERB iajs-2474 8 53 that that SCONJ iajs-2474 8 54 the the DET iajs-2474 8 55 reverse reverse NOUN iajs-2474 8 56 of of ADP iajs-2474 8 57 the the DET iajs-2474 8 58 propositions proposition NOUN iajs-2474 8 59 and and CCONJ iajs-2474 8 60 remarks remark NOUN iajs-2474 8 61 is be AUX iajs-2474 8 62 not not PART iajs-2474 8 63 achieved achieve VERB iajs-2474 8 64 . . PUNCT iajs-2474 9 1 in in ADP iajs-2474 9 2 addition addition NOUN iajs-2474 9 3 , , PUNCT iajs-2474 9 4 new new ADJ iajs-2474 9 5 application application NOUN iajs-2474 9 6 example example NOUN iajs-2474 9 7 of of ADP iajs-2474 9 8 nano nano NOUN iajs-2474 9 9 ẛـpre ẛـpre NOUN iajs-2474 9 10 ـg ـg ADP iajs-2474 9 11 ـclosed ـclose VERB iajs-2474 9 12 set set NOUN iajs-2474 9 13 was be AUX iajs-2474 9 14 studied study VERB iajs-2474 9 15 . . PUNCT iajs-2474 10 1 keywords keyword NOUN iajs-2474 10 2 : : PUNCT iajs-2474 10 3 nano nano NOUN iajs-2474 10 4 ẛـpreـgـopen ẛـpreـgـopen NOUN iajs-2474 10 5 set set NOUN iajs-2474 10 6 , , PUNCT iajs-2474 10 7 nano nano NOUN iajs-2474 10 8 ẛpgδـset ẛpgδـset NOUN iajs-2474 10 9 , , PUNCT iajs-2474 10 10 nano nano NOUN iajs-2474 10 11 ẛpgμـclosed ẛpgμـclose VERB iajs-2474 10 12 set set NOUN iajs-2474 10 13 , , PUNCT iajs-2474 10 14 nanoـopen nanoـopen ADJ iajs-2474 10 15 , , PUNCT iajs-2474 10 16 nanoـclosed nanoـclosed ADJ iajs-2474 10 17 , , PUNCT iajs-2474 10 18 ideal ideal ADJ iajs-2474 10 19 . . PUNCT iajs-2474 11 1 1 1 X iajs-2474 11 2 . . X iajs-2474 11 3 introduction introduction NOUN iajs-2474 11 4 in1933 in1933 NOUN iajs-2474 11 5 , , PUNCT iajs-2474 11 6 kuratowski kuratowski ADJ iajs-2474 12 1 [ [ X iajs-2474 12 2 1 1 NUM iajs-2474 12 3 ] ] PUNCT iajs-2474 12 4 . . PUNCT iajs-2474 13 1 introduced introduce VERB iajs-2474 13 2 the the DET iajs-2474 13 3 concept concept NOUN iajs-2474 13 4 of of ADP iajs-2474 13 5 an an DET iajs-2474 13 6 ideal ideal ADJ iajs-2474 13 7 ẛ ẛ NOUN iajs-2474 13 8 on on ADP iajs-2474 13 9 anon anon PROPN iajs-2474 13 10 empty empty ADJ iajs-2474 13 11 set set ADJ iajs-2474 13 12 ҳ ҳ PROPN iajs-2474 13 13 , , PUNCT iajs-2474 13 14 where where SCONJ iajs-2474 13 15 the the DET iajs-2474 13 16 hereditary hereditary NOUN iajs-2474 13 17 and and CCONJ iajs-2474 13 18 finite finite VERB iajs-2474 13 19 additively additively ADV iajs-2474 13 20 property property NOUN iajs-2474 13 21 were be AUX iajs-2474 13 22 achieved achieve VERB iajs-2474 13 23 . . PUNCT iajs-2474 14 1 in in ADP iajs-2474 14 2 1945 1945 NUM iajs-2474 14 3 , , PUNCT iajs-2474 14 4 the the DET iajs-2474 14 5 notion notion NOUN iajs-2474 14 6 of of ADP iajs-2474 14 7 operator operator NOUN iajs-2474 14 8 ∗ ∗ NOUN iajs-2474 14 9 : : PUNCT iajs-2474 14 10 ƥ ƥ PROPN iajs-2474 14 11 ҳ ҳ NOUN iajs-2474 14 12 ⟶ ⟶ NOUN iajs-2474 14 13 ƥ ƥ PRON iajs-2474 14 14 ҳ ҳ NOUN iajs-2474 14 15 , , PUNCT iajs-2474 14 16 was be AUX iajs-2474 14 17 introduced introduce VERB iajs-2474 14 18 by by ADP iajs-2474 14 19 vaidyanathaswamy vaidyanathaswamy NOUN iajs-2474 14 20 [ [ X iajs-2474 14 21 2 2 NUM iajs-2474 14 22 ] ] PUNCT iajs-2474 14 23 . . PUNCT iajs-2474 15 1 and and CCONJ iajs-2474 15 2 namely namely ADV iajs-2474 15 3 local local ADJ iajs-2474 15 4 function function NOUN iajs-2474 15 5 . . PUNCT iajs-2474 16 1 in in ADP iajs-2474 16 2 2013 2013 NUM iajs-2474 16 3 , , PUNCT iajs-2474 16 4 thivagar thivagar NOUN iajs-2474 16 5 and and CCONJ iajs-2474 16 6 richard richard NOUN iajs-2474 16 7 [ [ X iajs-2474 16 8 3 3 NUM iajs-2474 16 9 ] ] PUNCT iajs-2474 16 10 . . PUNCT iajs-2474 17 1 introduced introduce VERB iajs-2474 17 2 on on ADP iajs-2474 17 3 ҳ. ҳ. ADJ iajs-2474 17 4 nano nano NOUN iajs-2474 17 5 forms form NOUN iajs-2474 17 6 of of ADP iajs-2474 17 7 weakly weakly ADJ iajs-2474 17 8 open open ADJ iajs-2474 17 9 sets set NOUN iajs-2474 17 10 , , PUNCT iajs-2474 17 11 parimala parimala NOUN iajs-2474 17 12 and and CCONJ iajs-2474 17 13 jafari jafari PROPN iajs-2474 17 14 [ [ X iajs-2474 17 15 4 4 NUM iajs-2474 17 16 ] ] PUNCT iajs-2474 17 17 . . PUNCT iajs-2474 18 1 in in ADP iajs-2474 18 2 2018 2018 NUM iajs-2474 18 3 , , PUNCT iajs-2474 18 4 introduced introduce VERB iajs-2474 18 5 on on ADP iajs-2474 18 6 some some DET iajs-2474 18 7 new new ADJ iajs-2474 18 8 notions notion NOUN iajs-2474 18 9 in in ADP iajs-2474 18 10 nano nano NOUN iajs-2474 18 11 ideal ideal ADJ iajs-2474 18 12 topological topological ADJ iajs-2474 18 13 spaces space NOUN iajs-2474 18 14 . . PUNCT iajs-2474 19 1 an an DET iajs-2474 19 2 ideal ideal ADJ iajs-2474 19 3 ẛ ẛ ADP iajs-2474 19 4 ∅ ∅ NOUN iajs-2474 19 5 such such ADJ iajs-2474 19 6 that that SCONJ iajs-2474 19 7 ẛ ẛ DET iajs-2474 19 8 ⊆ ⊆ NUM iajs-2474 19 9 ƥ ƥ DET iajs-2474 19 10 ҳ ҳ PROPN iajs-2474 19 11 was be AUX iajs-2474 19 12 defined define VERB iajs-2474 19 13 as as ADP iajs-2474 19 14 the the DET iajs-2474 19 15 following following NOUN iajs-2474 19 16 : : PUNCT iajs-2474 19 17 i. i. NOUN iajs-2474 19 18 if if SCONJ iajs-2474 19 19 ⱥ ⱥ VERB iajs-2474 19 20 ‚ ‚ VERB iajs-2474 19 21 ƀ ƀ X iajs-2474 19 22 ∈ ∈ PROPN iajs-2474 19 23 ẛ ẛ PRON iajs-2474 19 24 ‚ ‚ NOUN iajs-2474 19 25 then then ADV iajs-2474 19 26 ⱥ ⱥ X iajs-2474 19 27 ∪ ∪ VERB iajs-2474 19 28 ƀ ƀ PROPN iajs-2474 19 29 ∈ ∈ PROPN iajs-2474 19 30 ẛ ẛ PROPN iajs-2474 19 31 . . PUNCT iajs-2474 19 32 ii ii PROPN iajs-2474 19 33 . . PUNCT iajs-2474 20 1 if if SCONJ iajs-2474 20 2 ⱥ ⱥ PROPN iajs-2474 20 3 ∈ ∈ PROPN iajs-2474 20 4 ẛ ẛ NOUN iajs-2474 20 5 and and CCONJ iajs-2474 20 6 ƀ ƀ PRON iajs-2474 21 1 ⊆ ⊆ NUM iajs-2474 21 2 ⱥ ⱥ DET iajs-2474 21 3 ‚ ‚ NOUN iajs-2474 21 4 then then ADV iajs-2474 21 5 ƀ ƀ PROPN iajs-2474 21 6 ∈ ∈ PROPN iajs-2474 21 7 ẛ ẛ NOUN iajs-2474 22 1 [ [ X iajs-2474 22 2 1,2 1,2 NUM iajs-2474 22 3 ] ] PUNCT iajs-2474 22 4 . . PUNCT iajs-2474 23 1 the the DET iajs-2474 23 2 closure closure NOUN iajs-2474 23 3 operator operator NOUN iajs-2474 23 4 cl∗ cl∗ NOUN iajs-2474 23 5 for for ADP iajs-2474 23 6 a a DET iajs-2474 23 7 topology topology NOUN iajs-2474 23 8 ṭ∗ ṭ∗ NOUN iajs-2474 23 9 ẛ ẛ NOUN iajs-2474 23 10 , , PUNCT iajs-2474 23 11 ṭ ṭ PROPN iajs-2474 23 12 , , PUNCT iajs-2474 23 13 namely namely ADV iajs-2474 23 14 the the DET iajs-2474 23 15 ∗ ∗ NOUN iajs-2474 23 16 topology topology NOUN iajs-2474 23 17 , , PUNCT iajs-2474 23 18 finer fine ADJ iajs-2474 23 19 than than ADP iajs-2474 23 20 ṭ ṭ NOUN iajs-2474 23 21 , , PUNCT iajs-2474 23 22 is be AUX iajs-2474 23 23 defined define VERB iajs-2474 23 24 by by ADP iajs-2474 23 25 cl∗ cl∗ PROPN iajs-2474 23 26 ⱥ ⱥ X iajs-2474 23 27 ⱥ ⱥ X iajs-2474 23 28 ∪ ∪ ADP iajs-2474 23 29 ⱥ∗ ⱥ∗ PROPN iajs-2474 23 30 ẛ ẛ PROPN iajs-2474 23 31 , , PUNCT iajs-2474 23 32 ṭ ṭ NOUN iajs-2474 23 33 , , PUNCT iajs-2474 23 34 and and CCONJ iajs-2474 23 35 then then ADV iajs-2474 23 36 , , PUNCT iajs-2474 23 37 ṭ∗ ṭ∗ NOUN iajs-2474 23 38 ẛ ẛ NOUN iajs-2474 23 39 , , PUNCT iajs-2474 23 40 ṭ ṭ NOUN iajs-2474 23 41 ⱥ ⱥ VERB iajs-2474 23 42 ҳ ҳ NOUN iajs-2474 23 43 ∶ ∶ NOUN iajs-2474 23 44 cl∗ cl∗ VERB iajs-2474 23 45 ҳ ҳ NOUN iajs-2474 23 46 ـ ـ X iajs-2474 23 47 ⱥ ⱥ X iajs-2474 23 48 ҳ ҳ X iajs-2474 23 49 ـ ـ X iajs-2474 23 50 ⱥ ⱥ PROPN iajs-2474 23 51 . . PUNCT iajs-2474 24 1 ibn ibn PROPN iajs-2474 24 2 al al PROPN iajs-2474 24 3 haitham haitham PROPN iajs-2474 24 4 journal journal PROPN iajs-2474 24 5 for for ADP iajs-2474 24 6 pure pure ADJ iajs-2474 24 7 and and CCONJ iajs-2474 24 8 applied apply VERB iajs-2474 24 9 science science NOUN iajs-2474 24 10 journal journal PROPN iajs-2474 24 11 homepage homepage NOUN iajs-2474 24 12 : : PUNCT iajs-2474 24 13 http://jih.uobaghdad.edu.iq/index.php/j/index http://jih.uobaghdad.edu.iq/index.php/j/index NOUN iajs-2474 24 14 doi doi NOUN iajs-2474 24 15 : : PUNCT iajs-2474 24 16 10.30526/33.3.2474 10.30526/33.3.2474 PROPN iajs-2474 24 17 article article NOUN iajs-2474 24 18 history history NOUN iajs-2474 24 19 : : PUNCT iajs-2474 24 20 received receive VERB iajs-2474 24 21 20 20 NUM iajs-2474 24 22 october october PROPN iajs-2474 24 23 2019 2019 NUM iajs-2474 24 24 , , PUNCT iajs-2474 24 25 accepted accept VERB iajs-2474 24 26 21 21 NUM iajs-2474 24 27 november november PROPN iajs-2474 24 28 january january PROPN iajs-2474 24 29 2019 2019 NUM iajs-2474 24 30 , , PUNCT iajs-2474 24 31 published publish VERB iajs-2474 24 32 in in ADP iajs-2474 24 33 july july PROPN iajs-2474 24 34 2020 2020 NUM iajs-2474 24 35 . . PUNCT iajs-2474 24 36     SPACE iajs-2474 25 1 69 69 NUM iajs-2474 25 2 ibn ibn PROPN iajs-2474 25 3 al al PROPN iajs-2474 25 4 - - PUNCT iajs-2474 25 5 haitham haitham PROPN iajs-2474 25 6 jour jour X iajs-2474 25 7 . . PROPN iajs-2474 25 8 for for ADP iajs-2474 25 9 pure pure ADJ iajs-2474 25 10 & & CCONJ iajs-2474 25 11 appl appl PROPN iajs-2474 25 12 . . PUNCT iajs-2474 26 1 sci sci PROPN iajs-2474 26 2 . . PROPN iajs-2474 27 1 33 33 NUM iajs-2474 27 2 ( ( PUNCT iajs-2474 27 3 3 3 NUM iajs-2474 27 4 ) ) PUNCT iajs-2474 27 5 2020 2020 NUM iajs-2474 28 1 the the DET iajs-2474 28 2 collection collection NOUN iajs-2474 28 3 b b PROPN iajs-2474 28 4 ẛ ẛ PROPN iajs-2474 28 5 , , PUNCT iajs-2474 28 6 ṭ ṭ X iajs-2474 28 7 ⱥ ⱥ X iajs-2474 28 8 ـ ـ X iajs-2474 28 9 ƀ ƀ PROPN iajs-2474 28 10 ; ; PUNCT iajs-2474 28 11 ⱥ ⱥ PROPN iajs-2474 28 12 ∈ ∈ PROPN iajs-2474 28 13 ṭ ṭ PROPN iajs-2474 28 14 and and CCONJ iajs-2474 28 15 ƀ ƀ PROPN iajs-2474 28 16 ∈ ∈ PROPN iajs-2474 28 17 ẛ ẛ NOUN iajs-2474 28 18 is be AUX iajs-2474 28 19 a a DET iajs-2474 28 20 basis basis NOUN iajs-2474 28 21 for for ADP iajs-2474 28 22 ṭ∗ ṭ∗ PROPN iajs-2474 28 23 ṭ ṭ PROPN iajs-2474 28 24 , , PUNCT iajs-2474 28 25 ẛ ẛ NOUN iajs-2474 28 26 , , PUNCT iajs-2474 28 27 when when SCONJ iajs-2474 28 28 there there PRON iajs-2474 28 29 is be VERB iajs-2474 28 30 no no DET iajs-2474 28 31 chance chance NOUN iajs-2474 28 32 for for ADP iajs-2474 28 33 confusion confusion NOUN iajs-2474 28 34 . . PUNCT iajs-2474 29 1 the the DET iajs-2474 29 2 simple simple ADJ iajs-2474 29 3 ⱥ∗ ⱥ∗ NOUN iajs-2474 29 4 write write NOUN iajs-2474 29 5 for for ADP iajs-2474 29 6 ⱥ∗ ⱥ∗ PROPN iajs-2474 29 7 ṭ ṭ PROPN iajs-2474 29 8 , , PUNCT iajs-2474 29 9 ẛ ẛ NOUN iajs-2474 29 10 and and CCONJ iajs-2474 29 11 ṭ∗ ṭ∗ NOUN iajs-2474 29 12 for for ADP iajs-2474 29 13 ṭ∗ ṭ∗ PROPN iajs-2474 29 14 ẛ ẛ PROPN iajs-2474 29 15 , , PUNCT iajs-2474 29 16 ṭ ṭ NOUN iajs-2474 29 17 . . PUNCT iajs-2474 30 1 the the DET iajs-2474 30 2 notion notion NOUN iajs-2474 30 3 ҳ ҳ PROPN iajs-2474 30 4 , , PUNCT iajs-2474 30 5 ṭ ṭ PROPN iajs-2474 30 6 , , PUNCT iajs-2474 30 7 ẛ ẛ PRON iajs-2474 30 8 will will AUX iajs-2474 30 9 denote denote VERB iajs-2474 30 10 to to ADP iajs-2474 30 11 a a DET iajs-2474 30 12 topological topological ADJ iajs-2474 30 13 space space NOUN iajs-2474 30 14 ҳ ҳ PROPN iajs-2474 30 15 , , PUNCT iajs-2474 30 16 ṭ ṭ NOUN iajs-2474 30 17 with with ADP iajs-2474 30 18 an an DET iajs-2474 30 19 ideal ideal ADJ iajs-2474 30 20 ẛ ẛ NOUN iajs-2474 30 21 on on ADP iajs-2474 30 22 ҳ ҳ PROPN iajs-2474 30 23 with with SCONJ iajs-2474 30 24 no no DET iajs-2474 30 25 separation separation NOUN iajs-2474 30 26 properties property NOUN iajs-2474 30 27 assumed assume VERB iajs-2474 30 28 and and CCONJ iajs-2474 30 29 called call VERB iajs-2474 30 30 an an DET iajs-2474 30 31 ideal ideal ADJ iajs-2474 30 32 topological topological ADJ iajs-2474 30 33 space space NOUN iajs-2474 30 34 or or CCONJ iajs-2474 30 35 an an DET iajs-2474 30 36 ideal ideal ADJ iajs-2474 30 37 space space NOUN iajs-2474 30 38 for for ADP iajs-2474 30 39 short short ADJ iajs-2474 30 40 . . PUNCT iajs-2474 31 1 the the DET iajs-2474 31 2 elements element NOUN iajs-2474 31 3 of of ADP iajs-2474 31 4 ṭ∗ ṭ∗ NOUN iajs-2474 31 5 are be AUX iajs-2474 31 6 namely namely ADV iajs-2474 31 7 ṭ∗ـopen ṭ∗ـopen ADJ iajs-2474 31 8 sets set NOUN iajs-2474 31 9 . . PUNCT iajs-2474 32 1 if if SCONJ iajs-2474 32 2 ҳ ҳ PROPN iajs-2474 32 3 ـ ـ X iajs-2474 32 4 ⱥ ⱥ PROPN iajs-2474 32 5 is be AUX iajs-2474 32 6 ṭ∗ـopen ṭ∗ـopen ADJ iajs-2474 32 7 set set NOUN iajs-2474 32 8 , , PUNCT iajs-2474 32 9 then then ADV iajs-2474 32 10 ⱥ ⱥ X iajs-2474 32 11 is be AUX iajs-2474 32 12 namely namely ADV iajs-2474 32 13 ṭ∗ـclosed ṭ∗ـclosed ADJ iajs-2474 33 1 and and CCONJ iajs-2474 33 2 so so ADV iajs-2474 33 3 it it PRON iajs-2474 33 4 is be AUX iajs-2474 33 5 closed close VERB iajs-2474 33 6 in in ADP iajs-2474 33 7 the the DET iajs-2474 33 8 space space NOUN iajs-2474 33 9 ҳ ҳ PROPN iajs-2474 33 10 , , PUNCT iajs-2474 33 11 ṭ∗ ṭ∗ NOUN iajs-2474 33 12 . . PUNCT iajs-2474 34 1 a a DET iajs-2474 34 2 subset subset NOUN iajs-2474 34 3 ⱥ ⱥ X iajs-2474 34 4 of of ADP iajs-2474 34 5 an an DET iajs-2474 34 6 ideal ideal ADJ iajs-2474 34 7 space space NOUN iajs-2474 34 8 ҳ ҳ PROPN iajs-2474 34 9 , , PUNCT iajs-2474 34 10 ṭ ṭ PROPN iajs-2474 34 11 , , PUNCT iajs-2474 34 12 ẛ ẛ PRON iajs-2474 34 13 is be AUX iajs-2474 34 14 a a DET iajs-2474 34 15 ṭ∗ـclosed ṭ∗ـclosed ADJ iajs-2474 34 16 if if SCONJ iajs-2474 35 1 and and CCONJ iajs-2474 35 2 only only ADV iajs-2474 35 3 if if SCONJ iajs-2474 35 4 ⱥ∗ ⱥ∗ PRON iajs-2474 35 5 ⱥ ⱥ X iajs-2474 35 6 . . PUNCT iajs-2474 36 1 a a DET iajs-2474 36 2 subset subset NOUN iajs-2474 36 3 ⱥ ⱥ X iajs-2474 36 4 of of ADP iajs-2474 36 5 an an DET iajs-2474 36 6 ideal ideal ADJ iajs-2474 36 7 space space NOUN iajs-2474 36 8 ҳ ҳ PROPN iajs-2474 36 9 , , PUNCT iajs-2474 36 10 ṭ ṭ PROPN iajs-2474 36 11 , , PUNCT iajs-2474 36 12 ẛ ẛ PROPN iajs-2474 36 13 is be AUX iajs-2474 36 14 said say VERB iajs-2474 36 15 to to PART iajs-2474 36 16 be be AUX iajs-2474 36 17 ṭ∗dense ṭ∗dense ADJ iajs-2474 36 18 if if SCONJ iajs-2474 36 19 cl∗ cl∗ PROPN iajs-2474 36 20 ⱥ ⱥ PROPN iajs-2474 36 21 ҳ ҳ PROPN iajs-2474 36 22 , , PUNCT iajs-2474 36 23 it it PRON iajs-2474 36 24 is be AUX iajs-2474 36 25 clear clear ADJ iajs-2474 36 26 that that SCONJ iajs-2474 36 27 , , PUNCT iajs-2474 36 28 in in ADP iajs-2474 36 29 a a DET iajs-2474 36 30 space space NOUN iajs-2474 36 31 ҳ ҳ NOUN iajs-2474 36 32 , , PUNCT iajs-2474 36 33 ṭ ṭ PROPN iajs-2474 36 34 , , PUNCT iajs-2474 36 35 ẛ ẛ NOUN iajs-2474 36 36 , , PUNCT iajs-2474 36 37 if if SCONJ iajs-2474 36 38 ẛ ẛ PRON iajs-2474 36 39 ø ø X iajs-2474 36 40 , , PUNCT iajs-2474 36 41 then then ADV iajs-2474 36 42 ṭ ṭ ADP iajs-2474 36 43 ṭ∗ ṭ∗ PROPN iajs-2474 36 44 ẛ ẛ NOUN iajs-2474 36 45 , , PUNCT iajs-2474 36 46 ṭ ṭ PROPN iajs-2474 36 47 . . PUNCT iajs-2474 37 1 if if SCONJ iajs-2474 37 2 ⱥ ⱥ PROPN iajs-2474 37 3   PROPN iajs-2474 37 4 ҳ ҳ PROPN iajs-2474 37 5 , , PUNCT iajs-2474 37 6 int∗ int∗ PROPN iajs-2474 37 7 ⱥ ⱥ X iajs-2474 37 8 ( ( PUNCT iajs-2474 37 9 respectively respectively ADV iajs-2474 37 10 , , PUNCT iajs-2474 37 11 cl∗ cl∗ PROPN iajs-2474 37 12 ⱥ ⱥ X iajs-2474 37 13 will will AUX iajs-2474 37 14 denote denote VERB iajs-2474 37 15 the the DET iajs-2474 37 16 interior interior NOUN iajs-2474 37 17 ( ( PUNCT iajs-2474 37 18 respectively respectively ADV iajs-2474 37 19 , , PUNCT iajs-2474 37 20 the the DET iajs-2474 37 21 closure closure NOUN iajs-2474 37 22 of of ADP iajs-2474 37 23 ⱥ ⱥ PROPN iajs-2474 37 24 in in ADP iajs-2474 37 25 ҳ ҳ PROPN iajs-2474 37 26 , , PUNCT iajs-2474 37 27 ṭ∗ ṭ∗ NOUN iajs-2474 37 28 , , PUNCT iajs-2474 37 29 so so CCONJ iajs-2474 37 30 the the DET iajs-2474 37 31 mapping mapping NOUN iajs-2474 37 32 ∗ ∗ NOUN iajs-2474 37 33 : : PUNCT iajs-2474 37 34 ƥ ƥ PROPN iajs-2474 37 35 ҳ ҳ NOUN iajs-2474 37 36 ⟶ ⟶ NOUN iajs-2474 37 37 ƥ ƥ PRON iajs-2474 37 38 ҳ ҳ NOUN iajs-2474 37 39 , , PUNCT iajs-2474 37 40 is be AUX iajs-2474 37 41 used use VERB iajs-2474 37 42 to to PART iajs-2474 37 43 generalize generalize VERB iajs-2474 37 44 the the DET iajs-2474 37 45 concept concept NOUN iajs-2474 37 46 of of ADP iajs-2474 37 47 topology topology NOUN iajs-2474 37 48 and and CCONJ iajs-2474 37 49 create create VERB iajs-2474 37 50 a a DET iajs-2474 37 51 new new ADJ iajs-2474 37 52 topology topology NOUN iajs-2474 37 53 namely namely ADV iajs-2474 37 54 ṭ∗ ṭ∗ VERB iajs-2474 37 55 ⊆ ⊆ NUM iajs-2474 37 56 ṭ ṭ NOUN iajs-2474 37 57 such such ADJ iajs-2474 37 58 that that SCONJ iajs-2474 37 59 the the DET iajs-2474 37 60 shortcut shortcut NOUN iajs-2474 37 61 ҳ ҳ NOUN iajs-2474 37 62 ‚ ‚ NUM iajs-2474 37 63 ṭ ṭ SYM iajs-2474 37 64 ‚ ‚ NOUN iajs-2474 37 65 ẛ ẛ NOUN iajs-2474 37 66 is be AUX iajs-2474 37 67 the the DET iajs-2474 37 68 ideal ideal ADJ iajs-2474 37 69 topological topological ADJ iajs-2474 37 70 space space NOUN iajs-2474 38 1 [ [ X iajs-2474 38 2 5 5 NUM iajs-2474 38 3 - - SYM iajs-2474 38 4 7 7 NUM iajs-2474 38 5 ] ] PUNCT iajs-2474 38 6 . . PUNCT iajs-2474 39 1 by by ADP iajs-2474 39 2 using use VERB iajs-2474 39 3 lower low ADJ iajs-2474 39 4 and and CCONJ iajs-2474 39 5 upper upper ADJ iajs-2474 39 6 approximation approximation NOUN iajs-2474 39 7 with with ADP iajs-2474 39 8 equivalence equivalence NOUN iajs-2474 39 9 relation relation NOUN iajs-2474 39 10 in in ADP iajs-2474 39 11 2013 2013 NUM iajs-2474 39 12 [ [ X iajs-2474 39 13 3,8 3,8 NUM iajs-2474 39 14 ] ] PUNCT iajs-2474 39 15 . . PUNCT iajs-2474 40 1 a a DET iajs-2474 40 2 new new ADJ iajs-2474 40 3 space space NOUN iajs-2474 40 4 emerged emerge VERB iajs-2474 40 5 , , PUNCT iajs-2474 40 6 which which PRON iajs-2474 40 7 is be AUX iajs-2474 40 8 a a DET iajs-2474 40 9 nano nano ADJ iajs-2474 40 10 topological topological ADJ iajs-2474 40 11 space space NOUN iajs-2474 40 12 . . PUNCT iajs-2474 41 1 in in ADP iajs-2474 41 2 this this DET iajs-2474 41 3 research research NOUN iajs-2474 41 4 and and CCONJ iajs-2474 41 5 by by ADP iajs-2474 41 6 taking take VERB iajs-2474 41 7 advantage advantage NOUN iajs-2474 41 8 of of ADP iajs-2474 41 9 the the DET iajs-2474 41 10 previous previous ADJ iajs-2474 41 11 concepts concept NOUN iajs-2474 41 12 , , PUNCT iajs-2474 41 13 another another DET iajs-2474 41 14 type type NOUN iajs-2474 41 15 of of ADP iajs-2474 41 16 near near ADP iajs-2474 41 17 nano nano NOUN iajs-2474 41 18 open open ADJ iajs-2474 41 19 set set NOUN iajs-2474 41 20 is be AUX iajs-2474 41 21 presented present VERB iajs-2474 41 22 , , PUNCT iajs-2474 41 23 which which PRON iajs-2474 41 24 is be AUX iajs-2474 41 25 the the DET iajs-2474 41 26 above above ADJ iajs-2474 41 27 space space NOUN iajs-2474 41 28 with with ADP iajs-2474 41 29 ideal ideal ADJ iajs-2474 41 30 ňẛـpre ňẛـpre NOUN iajs-2474 41 31 ـg ـg ADV iajs-2474 41 32 ـclosed ـclose VERB iajs-2474 41 33 set set NOUN iajs-2474 41 34 and and CCONJ iajs-2474 41 35 will will AUX iajs-2474 41 36 clarify clarify VERB iajs-2474 41 37 the the DET iajs-2474 41 38 most most ADV iajs-2474 41 39 important important ADJ iajs-2474 41 40 characteristics characteristic NOUN iajs-2474 41 41 of of ADP iajs-2474 41 42 these these DET iajs-2474 41 43 sets set NOUN iajs-2474 41 44 . . PUNCT iajs-2474 42 1 2 2 X iajs-2474 42 2 . . X iajs-2474 42 3 preliminaries preliminary NOUN iajs-2474 42 4 definition definition NOUN iajs-2474 42 5 2.1 2.1 NUM iajs-2474 42 6 . . PUNCT iajs-2474 43 1 [ [ X iajs-2474 43 2 3 3 NUM iajs-2474 43 3 , , PUNCT iajs-2474 43 4 8 8 NUM iajs-2474 43 5 ] ] PUNCT iajs-2474 43 6 . . PUNCT iajs-2474 44 1 let let VERB iajs-2474 44 2 ҳ ҳ NOUN iajs-2474 44 3 ∅ ∅ NOUN iajs-2474 44 4 , , PUNCT iajs-2474 44 5 and and CCONJ iajs-2474 44 6 ȓ ȓ PRON iajs-2474 44 7 be be AUX iajs-2474 44 8 an an DET iajs-2474 44 9 equivalence equivalence NOUN iajs-2474 44 10 relation relation NOUN iajs-2474 44 11 , , PUNCT iajs-2474 44 12 where where SCONJ iajs-2474 44 13 ȓ ȓ DET iajs-2474 44 14 ⊆ ⊆ NUM iajs-2474 44 15 ҳ ҳ SYM iajs-2474 44 16 ҳ ҳ NOUN iajs-2474 44 17 and and CCONJ iajs-2474 44 18 ȓ ȓ PROPN iajs-2474 44 19 is be AUX iajs-2474 44 20 reflexive reflexive ADJ iajs-2474 44 21 , , PUNCT iajs-2474 44 22 symmetric symmetric ADJ iajs-2474 44 23 and and CCONJ iajs-2474 44 24 transitive transitive ADJ iajs-2474 44 25 on on ADP iajs-2474 44 26 ҳ ҳ PROPN iajs-2474 44 27 , , PUNCT iajs-2474 44 28 ⱥ ⱥ PROPN iajs-2474 44 29 ⊆ ⊆ NUM iajs-2474 44 30 ҳ. ҳ. PROPN iajs-2474 44 31 1 1 NUM iajs-2474 44 32 . . PUNCT iajs-2474 45 1 the the DET iajs-2474 45 2 upper upper ADJ iajs-2474 45 3 approximation approximation NOUN iajs-2474 45 4 of of ADP iajs-2474 45 5 ⱥ ⱥ PROPN iajs-2474 45 6 for for ADP iajs-2474 45 7 ȓ ȓ PROPN iajs-2474 45 8 is be AUX iajs-2474 45 9 symbolizes symbolize VERB iajs-2474 45 10 ȓ ȓ DET iajs-2474 45 11 ⱥ ⱥ X iajs-2474 45 12 , , PUNCT iajs-2474 45 13 which which PRON iajs-2474 45 14 is be AUX iajs-2474 45 15 , , PUNCT iajs-2474 45 16 ȓ ȓ DET iajs-2474 45 17 ⱥ ⱥ X iajs-2474 45 18 ∪ӿ ∪ӿ X iajs-2474 45 19 ∈ ∈ NOUN iajs-2474 45 20 ҳ ҳ NOUN iajs-2474 45 21 ȓ ȓ X iajs-2474 45 22 ӿ ӿ X iajs-2474 45 23 : : PUNCT iajs-2474 45 24 ȓ ȓ PUNCT iajs-2474 45 25 ӿ ӿ X iajs-2474 45 26 ∩ ∩ NOUN iajs-2474 45 27 ⱥ ⱥ NOUN iajs-2474 45 28 ∅ ∅ NOUN iajs-2474 45 29 . . PUNCT iajs-2474 46 1 2 2 X iajs-2474 46 2 . . X iajs-2474 46 3 the the DET iajs-2474 46 4 lower low ADJ iajs-2474 46 5 approximation approximation NOUN iajs-2474 46 6 of of ADP iajs-2474 46 7 ⱥ ⱥ PRON iajs-2474 46 8 for for ADP iajs-2474 46 9 ȓ ȓ PROPN iajs-2474 46 10 is be AUX iajs-2474 46 11 symbolizes symbolize VERB iajs-2474 46 12 ȓ ȓ DET iajs-2474 46 13 ⱥ ⱥ X iajs-2474 46 14 , , PUNCT iajs-2474 46 15 which which PRON iajs-2474 46 16 is be AUX iajs-2474 46 17 , , PUNCT iajs-2474 46 18 ȓ ȓ DET iajs-2474 46 19 ⱥ ⱥ X iajs-2474 46 20 ∪ӿ ∪ӿ X iajs-2474 46 21 ∈ ∈ NOUN iajs-2474 46 22 ҳ ҳ NOUN iajs-2474 46 23 ȓ ȓ X iajs-2474 46 24 ӿ ӿ X iajs-2474 46 25 : : PUNCT iajs-2474 46 26 ȓ ȓ PUNCT iajs-2474 46 27 ӿ ӿ VERB iajs-2474 46 28 ⊆ ⊆ NUM iajs-2474 46 29 ⱥ ⱥ X iajs-2474 46 30 . . PUNCT iajs-2474 47 1 3 3 X iajs-2474 47 2 . . PUNCT iajs-2474 47 3 the the DET iajs-2474 47 4 boundary boundary NOUN iajs-2474 47 5 of of ADP iajs-2474 47 6 ⱥ ⱥ PROPN iajs-2474 47 7 for for ADP iajs-2474 47 8 ȓ ȓ PROPN iajs-2474 47 9 is be AUX iajs-2474 47 10 symbolizes symbolize VERB iajs-2474 47 11 ฿ ฿ PROPN iajs-2474 47 12 ȓ ȓ ADP iajs-2474 47 13 ⱥ ⱥ NOUN iajs-2474 47 14 , , PUNCT iajs-2474 47 15 which which PRON iajs-2474 47 16 is be AUX iajs-2474 47 17 , , PUNCT iajs-2474 47 18 ฿ ฿ PROPN iajs-2474 47 19 ȓ ȓ NOUN iajs-2474 47 20 ⱥ ⱥ NOUN iajs-2474 47 21 ȓ ȓ NOUN iajs-2474 47 22 ⱥ ⱥ X iajs-2474 47 23 ȓ ȓ X iajs-2474 47 24 ⱥ ⱥ X iajs-2474 47 25 . . PUNCT iajs-2474 47 26     SPACE iajs-2474 48 1 70 70 NUM iajs-2474 48 2 ibn ibn PROPN iajs-2474 48 3 al al PROPN iajs-2474 48 4 - - PUNCT iajs-2474 48 5 haitham haitham PROPN iajs-2474 48 6 jour jour X iajs-2474 48 7 . . PROPN iajs-2474 48 8 for for ADP iajs-2474 48 9 pure pure ADJ iajs-2474 48 10 & & CCONJ iajs-2474 48 11 appl appl PROPN iajs-2474 48 12 . . PUNCT iajs-2474 49 1 sci sci PROPN iajs-2474 49 2 . . PROPN iajs-2474 50 1 33 33 NUM iajs-2474 50 2 ( ( PUNCT iajs-2474 50 3 3 3 NUM iajs-2474 50 4 ) ) PUNCT iajs-2474 50 5 2020 2020 NUM iajs-2474 50 6     SPACE iajs-2474 50 7 figure figure NOUN iajs-2474 50 8 1 1 NUM iajs-2474 50 9 . . PUNCT iajs-2474 50 10 approximation approximation NOUN iajs-2474 50 11 of of ADP iajs-2474 50 12 ⱥ ⱥ NOUN iajs-2474 50 13 . . PUNCT iajs-2474 50 14 definition2.2 definition2.2 PUNCT iajs-2474 50 15 . . PUNCT iajs-2474 51 1 [ [ X iajs-2474 51 2 3 3 NUM iajs-2474 51 3 ] ] PUNCT iajs-2474 51 4 . . PUNCT iajs-2474 52 1 let let VERB iajs-2474 52 2 ҳ ҳ NOUN iajs-2474 52 3 ∅ ∅ NOUN iajs-2474 52 4 , , PUNCT iajs-2474 52 5 ȓ ȓ PRON iajs-2474 52 6 be be AUX iajs-2474 52 7 an an DET iajs-2474 52 8 equivalence equivalence NOUN iajs-2474 52 9 relation relation NOUN iajs-2474 52 10 on on ADP iajs-2474 52 11 ҳ ҳ NOUN iajs-2474 52 12 , , PUNCT iajs-2474 52 13 ṭȓ ṭȓ PRON iajs-2474 52 14 ⱥ ⱥ X iajs-2474 52 15 x x NOUN iajs-2474 52 16 , , PUNCT iajs-2474 52 17 ∅ ∅ NOUN iajs-2474 52 18 , , PUNCT iajs-2474 52 19 ȓ ȓ PRON iajs-2474 52 20 ⱥ ⱥ X iajs-2474 52 21 , , PUNCT iajs-2474 52 22 ȓ ȓ PRON iajs-2474 52 23 ⱥ ⱥ X iajs-2474 52 24 , , PUNCT iajs-2474 52 25 ฿ ฿ PROPN iajs-2474 52 26 ȓ ȓ NOUN iajs-2474 52 27 ⱥ ⱥ X iajs-2474 52 28 } } PUNCT iajs-2474 52 29 such such ADJ iajs-2474 52 30 that that SCONJ iajs-2474 52 31 ⱥ ⱥ PROPN iajs-2474 52 32 ⊆ ⊆ NUM iajs-2474 52 33 ҳ. ҳ. ADV iajs-2474 52 34 then then ADV iajs-2474 52 35 ṭȓ ṭȓ ADP iajs-2474 52 36 ⱥ ⱥ PROPN iajs-2474 52 37 is be AUX iajs-2474 52 38 a a DET iajs-2474 52 39 topology topology NOUN iajs-2474 52 40 on on ADP iajs-2474 52 41 ҳ ҳ NOUN iajs-2474 52 42 namely namely ADV iajs-2474 52 43 nano nano NOUN iajs-2474 52 44 topology topology NOUN iajs-2474 52 45 of of ADP iajs-2474 52 46 ⱥ ⱥ PROPN iajs-2474 52 47 and and CCONJ iajs-2474 52 48 ҳ ҳ NOUN iajs-2474 52 49 , , PUNCT iajs-2474 52 50 ṭȓ ṭȓ PRON iajs-2474 52 51 ⱥ ⱥ NOUN iajs-2474 52 52 is be AUX iajs-2474 52 53 namely namely ADV iajs-2474 52 54 nano nano ADJ iajs-2474 52 55 topological topological ADJ iajs-2474 52 56 space space NOUN iajs-2474 52 57 . . PUNCT iajs-2474 53 1 the the DET iajs-2474 53 2 elements element NOUN iajs-2474 53 3 of of ADP iajs-2474 53 4 ṭȓ ṭȓ INTJ iajs-2474 53 5 ⱥ ⱥ NOUN iajs-2474 53 6 are be AUX iajs-2474 53 7 namely namely ADV iajs-2474 53 8 nanoـopen nanoـopen ADJ iajs-2474 53 9 sets set NOUN iajs-2474 53 10 symbolize symbolize VERB iajs-2474 53 11 ňـopen ňـopen VERB iajs-2474 53 12 sets.the sets.the DET iajs-2474 53 13 complement complement NOUN iajs-2474 53 14 of of ADP iajs-2474 53 15 an an DET iajs-2474 53 16 ňـopen ňـopen ADJ iajs-2474 53 17 set set NOUN iajs-2474 53 18 is be AUX iajs-2474 53 19 namely namely ADV iajs-2474 53 20 nanoـclosed nanoـclosed ADJ iajs-2474 53 21 symbolize symbolize NOUN iajs-2474 53 22 ňـclosed ňـclose VERB iajs-2474 53 23 . . PUNCT iajs-2474 54 1 a a DET iajs-2474 54 2 nanoـinterior nanoـinterior NOUN iajs-2474 54 3 of of ADP iajs-2474 54 4 a a DET iajs-2474 54 5 sub sub NOUN iajs-2474 54 6 set set VERB iajs-2474 54 7 ⱥ ⱥ PRON iajs-2474 54 8 of of ADP iajs-2474 54 9 ҳ ҳ PROPN iajs-2474 54 10 symbolizes symbolize VERB iajs-2474 54 11 ňـint ňـint NOUN iajs-2474 54 12 ⱥ ⱥ NOUN iajs-2474 54 13 and and CCONJ iajs-2474 54 14 nanoـclosure nanoـclosure NOUN iajs-2474 54 15 of of ADP iajs-2474 54 16 a a DET iajs-2474 54 17 subset subset NOUN iajs-2474 54 18 ⱥ ⱥ X iajs-2474 54 19 of of ADP iajs-2474 54 20 ҳ ҳ PROPN iajs-2474 54 21 symbolizes symbolize VERB iajs-2474 54 22 ňـcl ňـcl PRON iajs-2474 54 23 ⱥ ⱥ X iajs-2474 54 24 . . PUNCT iajs-2474 55 1 we we PRON iajs-2474 55 2 can can AUX iajs-2474 55 3 find find VERB iajs-2474 55 4 all all DET iajs-2474 55 5 nano nano ADJ iajs-2474 55 6 topological topological ADJ iajs-2474 55 7 spaces space NOUN iajs-2474 55 8 ҳ ҳ NOUN iajs-2474 55 9 , , PUNCT iajs-2474 55 10 ṭȓ ṭȓ DET iajs-2474 55 11 ⱥ ⱥ X iajs-2474 55 12 ) ) PUNCT iajs-2474 55 13 , , PUNCT iajs-2474 55 14 for for ADP iajs-2474 55 15 any any DET iajs-2474 55 16 ҳ ҳ PROPN iajs-2474 55 17 ∅ ∅ NOUN iajs-2474 55 18 , , PUNCT iajs-2474 55 19 ⱥ ⱥ PROPN iajs-2474 55 20 ⊆ ⊆ NUM iajs-2474 55 21 ҳ ҳ PROPN iajs-2474 55 22 and and CCONJ iajs-2474 55 23 ȓ ȓ PRON iajs-2474 55 24 be be AUX iajs-2474 55 25 an an DET iajs-2474 55 26 equivalence equivalence NOUN iajs-2474 55 27 relation relation NOUN iajs-2474 55 28 on on ADP iajs-2474 55 29 ҳ ҳ PROPN iajs-2474 55 30 , , PUNCT iajs-2474 55 31 by by ADP iajs-2474 55 32 the the DET iajs-2474 55 33 following following ADJ iajs-2474 55 34 example example NOUN iajs-2474 55 35 : : PUNCT iajs-2474 55 36 example2.3 example2.3 X iajs-2474 55 37 . . PUNCT iajs-2474 56 1 let let VERB iajs-2474 56 2 ҳ ҳ PROPN iajs-2474 56 3 ӿ ӿ VERB iajs-2474 56 4 , , PUNCT iajs-2474 56 5 ӿ ӿ X iajs-2474 56 6 , , PUNCT iajs-2474 56 7 ӿ ӿ X iajs-2474 56 8 , , PUNCT iajs-2474 56 9 ⱥ ⱥ PROPN iajs-2474 56 10 ⊆ ⊆ NUM iajs-2474 56 11 ҳ ҳ PROPN iajs-2474 56 12 , , PUNCT iajs-2474 56 13 ȓ ȓ PROPN iajs-2474 56 14 ӿ ӿ X iajs-2474 56 15 , , PUNCT iajs-2474 56 16 ӿ ӿ X iajs-2474 56 17 , , PUNCT iajs-2474 56 18 ӿ ӿ X iajs-2474 56 19 , , PUNCT iajs-2474 56 20 ӿ ӿ X iajs-2474 56 21 , , PUNCT iajs-2474 56 22 ӿ ӿ X iajs-2474 56 23 , , PUNCT iajs-2474 56 24 ӿ ӿ X iajs-2474 56 25 , , PUNCT iajs-2474 56 26 ӿ ӿ X iajs-2474 56 27 , , PUNCT iajs-2474 56 28 ӿ ӿ X iajs-2474 56 29 , , PUNCT iajs-2474 56 30 ӿ ӿ X iajs-2474 56 31 , , PUNCT iajs-2474 56 32 ӿ ӿ PROPN iajs-2474 56 33 . . PUNCT iajs-2474 57 1 then then ADV iajs-2474 57 2 ȓ ȓ X iajs-2474 57 3 ӿ ӿ X iajs-2474 57 4 ӿ ӿ X iajs-2474 57 5 , , PUNCT iajs-2474 57 6 ӿ ӿ X iajs-2474 57 7 ȓ ȓ X iajs-2474 57 8 ӿ ӿ X iajs-2474 57 9 , , PUNCT iajs-2474 57 10 ȓ ȓ PROPN iajs-2474 57 11 ӿ ӿ X iajs-2474 57 12 ӿ ӿ NOUN iajs-2474 57 13 . . PUNCT iajs-2474 58 1 𝐸𝑞𝑢𝑖𝑣𝑎𝑙𝑒𝑛𝑐𝑒 𝐸𝑞𝑢𝑖𝑣𝑎𝑙𝑒𝑛𝑐𝑒 PROPN iajs-2474 58 2 𝑐𝑙𝑎𝑠𝑠 𝑐𝑙𝑎𝑠𝑠 NOUN iajs-2474 58 3 𝑇ℎ𝑒 𝑇ℎ𝑒 PROPN iajs-2474 58 4 𝑠𝑒𝑡 𝑠𝑒𝑡 NOUN iajs-2474 58 5 𝑜𝑓 𝑜𝑓 ADP iajs-2474 58 6 𝑜𝑏𝑗𝑒𝑐𝑡𝑠 𝑜𝑏𝑗𝑒𝑐𝑡𝑠 NOUN iajs-2474 58 7 𝑇ℎ𝑒 𝑇ℎ𝑒 PROPN iajs-2474 58 8 𝑠𝑒𝑡 𝑠𝑒𝑡 NOUN iajs-2474 59 1 𝑇ℎ𝑒 𝑇ℎ𝑒 PROPN iajs-2474 59 2 𝐿𝑜𝑤𝑒𝑟 𝐿𝑜𝑤𝑒𝑟 PROPN iajs-2474 59 3 𝑜𝑓 𝑜𝑓 ADP iajs-2474 59 4 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑖𝑜𝑛 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑖𝑜𝑛 NOUN iajs-2474 59 5 𝑇ℎ𝑒 𝑇ℎ𝑒 PROPN iajs-2474 59 6 𝑈𝑝𝑝𝑒𝑟 𝑈𝑝𝑝𝑒𝑟 PROPN iajs-2474 59 7 𝑜𝑓 𝑜𝑓 INTJ iajs-2474 59 8 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑖𝑜 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑖𝑜 PROPN iajs-2474 59 9     SPACE iajs-2474 59 10 71 71 NUM iajs-2474 59 11 ibn ibn PROPN iajs-2474 59 12 al al PROPN iajs-2474 59 13 - - PUNCT iajs-2474 59 14 haitham haitham PROPN iajs-2474 59 15 jour jour X iajs-2474 59 16 . . PROPN iajs-2474 60 1 for for ADP iajs-2474 60 2 pure pure ADJ iajs-2474 60 3 & & CCONJ iajs-2474 60 4 appl appl PROPN iajs-2474 60 5 . . PUNCT iajs-2474 61 1 sci sci PROPN iajs-2474 61 2 . . PROPN iajs-2474 62 1 33 33 NUM iajs-2474 62 2 ( ( PUNCT iajs-2474 62 3 3 3 NUM iajs-2474 62 4 ) ) PUNCT iajs-2474 62 5 2020 2020 NUM iajs-2474 62 6 table table NOUN iajs-2474 62 7 1.nano 1.nano NUM iajs-2474 62 8 topological topological ADJ iajs-2474 62 9 spaces space NOUN iajs-2474 62 10 . . PUNCT iajs-2474 63 1 definition definition NOUN iajs-2474 63 2 2.4 2.4 NUM iajs-2474 63 3 . . PUNCT iajs-2474 64 1 [ [ X iajs-2474 64 2 3,4 3,4 NUM iajs-2474 64 3 ] ] PUNCT iajs-2474 64 4 . . PUNCT iajs-2474 65 1 let let VERB iajs-2474 65 2 ⱥ ⱥ PRON iajs-2474 65 3 ⊆ ⊆ NUM iajs-2474 65 4 ҳ ҳ PROPN iajs-2474 65 5 , , PUNCT iajs-2474 65 6 ҳ ҳ PROPN iajs-2474 65 7 , , PUNCT iajs-2474 65 8 ṭȓ ṭȓ PRON iajs-2474 65 9 ⱥ ⱥ NOUN iajs-2474 65 10 be be AUX iajs-2474 65 11 a a DET iajs-2474 65 12 nano nano ADJ iajs-2474 65 13 topological topological ADJ iajs-2474 65 14 space space NOUN iajs-2474 65 15 . . PUNCT iajs-2474 66 1 then then ADV iajs-2474 66 2 ⱥ ⱥ PROPN iajs-2474 66 3 is be AUX iajs-2474 66 4 a a DET iajs-2474 66 5 namely namely ADV iajs-2474 66 6 nano nano ADJ iajs-2474 66 7 preـopen preـopen NOUN iajs-2474 66 8 set set VERB iajs-2474 66 9 if if SCONJ iajs-2474 66 10 ⱥ ⱥ PROPN iajs-2474 66 11 ⊆ ⊆ NUM iajs-2474 66 12 ňـint ňـint NOUN iajs-2474 66 13 ňـcl ňـcl ADV iajs-2474 66 14 ⱥ ⱥ X iajs-2474 66 15 , , PUNCT iajs-2474 66 16 the the DET iajs-2474 66 17 complements complement NOUN iajs-2474 66 18 of of ADP iajs-2474 66 19 ⱥ ⱥ PROPN iajs-2474 66 20 is be AUX iajs-2474 66 21 namely namely ADV iajs-2474 66 22 nano nano ADJ iajs-2474 66 23 pre pre X iajs-2474 66 24 closed close VERB iajs-2474 66 25 set set NOUN iajs-2474 66 26 . . PUNCT iajs-2474 67 1 the the DET iajs-2474 67 2 shortcuts shortcut NOUN iajs-2474 67 3 ňـpo ňـpo PROPN iajs-2474 67 4 ҳ ҳ PROPN iajs-2474 67 5 respectively respectively ADV iajs-2474 67 6 ňـpc ňـpc NOUN iajs-2474 67 7 ҳ ҳ PROPN iajs-2474 67 8 is be AUX iajs-2474 67 9 for for ADP iajs-2474 67 10 the the DET iajs-2474 67 11 collection collection NOUN iajs-2474 67 12 of of ADP iajs-2474 67 13 each each DET iajs-2474 67 14 ňـpreـopen(respectively ňـpreـopen(respectively ADV iajs-2474 67 15 ňـpreـclosed ňـpreـclose VERB iajs-2474 67 16 sets set NOUN iajs-2474 67 17 . . PUNCT iajs-2474 68 1 a a DET iajs-2474 68 2 space space NOUN iajs-2474 68 3 ҳ ҳ NOUN iajs-2474 68 4 , , PUNCT iajs-2474 68 5 ṭȓ ṭȓ PRON iajs-2474 68 6 ⱥ ⱥ X iajs-2474 68 7 , , PUNCT iajs-2474 68 8 ẛ ẛ PRON iajs-2474 68 9 is be AUX iajs-2474 68 10 namely namely ADV iajs-2474 68 11 ideal ideal ADJ iajs-2474 68 12 nano nano ADJ iajs-2474 68 13 topological topological ADJ iajs-2474 68 14 space space NOUN iajs-2474 68 15 , , PUNCT iajs-2474 68 16 whenever whenever SCONJ iajs-2474 68 17 ẛ ẛ PRON iajs-2474 68 18 is be AUX iajs-2474 68 19 an an DET iajs-2474 68 20 ideal ideal NOUN iajs-2474 68 21 on on ADP iajs-2474 68 22 ҳ. ҳ. NOUN iajs-2474 68 23 definition4.1 definition4.1 ADV iajs-2474 68 24 . . PUNCT iajs-2474 69 1 [ [ X iajs-2474 69 2 9 9 NUM iajs-2474 69 3 ] ] PUNCT iajs-2474 69 4 . . PUNCT iajs-2474 70 1 let let VERB iajs-2474 70 2 ҳ ҳ NOUN iajs-2474 70 3 , , PUNCT iajs-2474 70 4 ṭȓ ṭȓ PRON iajs-2474 70 5 ⱥ ⱥ NOUN iajs-2474 70 6 be be AUX iajs-2474 70 7 a a DET iajs-2474 70 8 nano nano ADJ iajs-2474 70 9 topological topological ADJ iajs-2474 70 10 spaces space NOUN iajs-2474 70 11 and and CCONJ iajs-2474 70 12 ƀ ƀ PRON iajs-2474 70 13 ⊆ ⊆ NUM iajs-2474 70 14 ҳ. ҳ. ADV iajs-2474 70 15 then then ADV iajs-2474 70 16     SPACE iajs-2474 70 17 a a DET iajs-2474 70 18 nanoـkernal nanoـkernal NOUN iajs-2474 70 19 of of ADP iajs-2474 70 20 ƀ ƀ NOUN iajs-2474 70 21 = = PUNCT iajs-2474 70 22 ∩ ∩ PROPN iajs-2474 70 23 џ џ NOUN iajs-2474 70 24 : : PUNCT iajs-2474 70 25 ƀ ƀ PROPN iajs-2474 70 26 ⊆ ⊆ NUM iajs-2474 70 27 џ џ NOUN iajs-2474 70 28 , , PUNCT iajs-2474 70 29 џ џ PROPN iajs-2474 70 30 ∈ ∈ PROPN iajs-2474 70 31 ṭȓ ṭȓ VERB iajs-2474 70 32 ⱥ ⱥ X iajs-2474 70 33 and and CCONJ iajs-2474 70 34 symbolizes symbolize VERB iajs-2474 70 35 ňـker ňـker PROPN iajs-2474 70 36 ƀ ƀ PROPN iajs-2474 70 37 . . PUNCT iajs-2474 71 1 from from ADP iajs-2474 71 2 table table NOUN iajs-2474 71 3 2 2 NUM iajs-2474 71 4 . . PUNCT iajs-2474 72 1 we we PRON iajs-2474 72 2 can can AUX iajs-2474 72 3 calculate calculate VERB iajs-2474 72 4 and and CCONJ iajs-2474 72 5 note note VERB iajs-2474 72 6 all all DET iajs-2474 72 7 nano nano NOUN iajs-2474 72 8 preـopen preـopen NOUN iajs-2474 72 9 set set VERB iajs-2474 72 10 and and CCONJ iajs-2474 72 11 nano nano PROPN iajs-2474 72 12 pre pre X iajs-2474 72 13 closed closed ADJ iajs-2474 72 14 set set NOUN iajs-2474 72 15 : : PUNCT iajs-2474 72 16 for for ADP iajs-2474 72 17 ҳ ҳ PROPN iajs-2474 72 18 , , PUNCT iajs-2474 72 19 ṭȓ ṭȓ DET iajs-2474 72 20 ⱥ ⱥ INTJ iajs-2474 72 21 , , PUNCT iajs-2474 72 22 where where SCONJ iajs-2474 72 23 ҳ ҳ NOUN iajs-2474 72 24 ӿ ӿ X iajs-2474 72 25 , , PUNCT iajs-2474 72 26 ӿ ӿ X iajs-2474 72 27 , , PUNCT iajs-2474 72 28 ӿ ӿ X iajs-2474 72 29 , , PUNCT iajs-2474 72 30 ȓ ȓ PROPN iajs-2474 72 31 ӿ ӿ X iajs-2474 72 32 , , PUNCT iajs-2474 72 33 ӿ ӿ X iajs-2474 72 34 , , PUNCT iajs-2474 72 35 ӿ ӿ X iajs-2474 72 36 , , PUNCT iajs-2474 72 37 ӿ ӿ X iajs-2474 72 38 , , PUNCT iajs-2474 72 39 ӿ ӿ X iajs-2474 72 40 , , PUNCT iajs-2474 72 41 ӿ ӿ X iajs-2474 72 42 , , PUNCT iajs-2474 72 43 ӿ ӿ X iajs-2474 72 44 , , PUNCT iajs-2474 72 45 ӿ ӿ X iajs-2474 72 46 , , PUNCT iajs-2474 72 47 ӿ ӿ X iajs-2474 72 48 , , PUNCT iajs-2474 72 49 ӿ ӿ PROPN iajs-2474 72 50 . . PUNCT iajs-2474 73 1 , , PUNCT iajs-2474 73 2 ⱥ ⱥ X iajs-2474 73 3 ȓ ȓ X iajs-2474 73 4 ⱥ ⱥ X iajs-2474 73 5 ȓ ȓ X iajs-2474 73 6 ⱥ ⱥ INTJ iajs-2474 73 7 ƀȓ ƀȓ ADV iajs-2474 73 8 ⱥ ⱥ X iajs-2474 73 9 ṭȓ ṭȓ X iajs-2474 73 10 ⱥ ⱥ NOUN iajs-2474 73 11 ∅ ∅ NOUN iajs-2474 73 12 ∅ ∅ NOUN iajs-2474 73 13 ∅ ∅ NOUN iajs-2474 73 14 ∅ ∅ NOUN iajs-2474 73 15 ҳ ҳ NOUN iajs-2474 73 16 , , PUNCT iajs-2474 73 17 ∅ ∅ NOUN iajs-2474 73 18         SPACE iajs-2474 74 1 ҳ ҳ NOUN iajs-2474 74 2 ҳ ҳ X iajs-2474 74 3 ҳ ҳ NOUN iajs-2474 74 4 ∅ ∅ PRON iajs-2474 74 5 ҳ ҳ NOUN iajs-2474 74 6 , , PUNCT iajs-2474 74 7 ∅ ∅ NOUN iajs-2474 74 8 ӿ ӿ VERB iajs-2474 74 9 ӿ ӿ PROPN iajs-2474 74 10 , , PUNCT iajs-2474 74 11 ӿ ӿ VERB iajs-2474 74 12 ∅ ∅ NOUN iajs-2474 74 13 ӿ ӿ X iajs-2474 74 14 , , PUNCT iajs-2474 74 15 ӿ ӿ PROPN iajs-2474 74 16 ҳ ҳ PROPN iajs-2474 74 17 , , PUNCT iajs-2474 74 18 ∅ ∅ NOUN iajs-2474 74 19 , , PUNCT iajs-2474 74 20 ӿ ӿ X iajs-2474 74 21 , , PUNCT iajs-2474 74 22 ӿ ӿ X iajs-2474 74 23 ӿ ӿ ADP iajs-2474 74 24 ӿ ӿ PROPN iajs-2474 74 25 , , PUNCT iajs-2474 74 26 ӿ ӿ VERB iajs-2474 74 27 ∅ ∅ NOUN iajs-2474 74 28 ӿ ӿ X iajs-2474 74 29 , , PUNCT iajs-2474 74 30 ӿ ӿ PROPN iajs-2474 74 31 ҳ ҳ PROPN iajs-2474 74 32 , , PUNCT iajs-2474 74 33 ∅ ∅ NOUN iajs-2474 74 34 , , PUNCT iajs-2474 74 35 ӿ ӿ X iajs-2474 74 36 , , PUNCT iajs-2474 74 37 ӿ ӿ X iajs-2474 74 38 ӿ ӿ NUM iajs-2474 74 39 ӿ ӿ NUM iajs-2474 74 40 ӿ ӿ PRON iajs-2474 74 41 ∅ ∅ CCONJ iajs-2474 74 42 ҳ ҳ ADJ iajs-2474 74 43 , , PUNCT iajs-2474 74 44 ∅ ∅ NOUN iajs-2474 74 45 , , PUNCT iajs-2474 74 46 ӿ ӿ X iajs-2474 74 47 ӿ ӿ X iajs-2474 74 48 , , PUNCT iajs-2474 74 49 ӿ ӿ PROPN iajs-2474 74 50 ӿ ӿ X iajs-2474 74 51 , , PUNCT iajs-2474 74 52 ӿ ӿ PROPN iajs-2474 74 53 ӿ ӿ X iajs-2474 74 54 , , PUNCT iajs-2474 74 55 ӿ ӿ X iajs-2474 74 56 ∅ ∅ NOUN iajs-2474 74 57 ҳ ҳ NOUN iajs-2474 74 58 , , PUNCT iajs-2474 74 59 ∅ ∅ NOUN iajs-2474 74 60 , , PUNCT iajs-2474 74 61 ӿ ӿ X iajs-2474 74 62 , , PUNCT iajs-2474 74 63 ӿ ӿ PROPN iajs-2474 74 64 ӿ ӿ X iajs-2474 74 65 , , PUNCT iajs-2474 74 66 ӿ ӿ VERB iajs-2474 74 67 ҳ ҳ PROPN iajs-2474 74 68 ӿ ӿ X iajs-2474 74 69 ӿ ӿ X iajs-2474 74 70 , , PUNCT iajs-2474 74 71 ӿ ӿ PROPN iajs-2474 74 72 ҳ ҳ NOUN iajs-2474 74 73 , , PUNCT iajs-2474 74 74 ∅ ∅ NOUN iajs-2474 74 75 , , PUNCT iajs-2474 74 76 ӿ ӿ X iajs-2474 74 77 , , PUNCT iajs-2474 74 78 ӿ ӿ X iajs-2474 74 79 , , PUNCT iajs-2474 74 80 ӿ ӿ PROPN iajs-2474 74 81 ӿ ӿ X iajs-2474 74 82 , , PUNCT iajs-2474 74 83 ӿ ӿ VERB iajs-2474 74 84 ҳ ҳ PROPN iajs-2474 74 85 ӿ ӿ X iajs-2474 74 86 ӿ ӿ X iajs-2474 74 87 , , PUNCT iajs-2474 74 88 ӿ ӿ PROPN iajs-2474 74 89 ҳ ҳ NOUN iajs-2474 74 90 , , PUNCT iajs-2474 74 91 ∅ ∅ NOUN iajs-2474 74 92 , , PUNCT iajs-2474 74 93 ӿ ӿ X iajs-2474 74 94 , , PUNCT iajs-2474 74 95 ӿ ӿ X iajs-2474 74 96 , , PUNCT iajs-2474 74 97 ӿ ӿ X iajs-2474 74 98     SPACE iajs-2474 74 99 72 72 NUM iajs-2474 74 100 ibn ibn PROPN iajs-2474 74 101 al al PROPN iajs-2474 74 102 - - PUNCT iajs-2474 74 103 haitham haitham PROPN iajs-2474 74 104 jour jour X iajs-2474 74 105 . . PROPN iajs-2474 75 1 for for ADP iajs-2474 75 2 pure pure ADJ iajs-2474 75 3 & & CCONJ iajs-2474 75 4 appl appl PROPN iajs-2474 75 5 . . PUNCT iajs-2474 76 1 sci sci PROPN iajs-2474 76 2 . . PROPN iajs-2474 77 1 33 33 NUM iajs-2474 77 2 ( ( PUNCT iajs-2474 77 3 3 3 NUM iajs-2474 77 4 ) ) PUNCT iajs-2474 77 5 2020 2020 NUM iajs-2474 77 6 table table NOUN iajs-2474 77 7 2 2 NUM iajs-2474 77 8 . . X iajs-2474 77 9 nano nano NOUN iajs-2474 77 10 preـopen preـopen NOUN iajs-2474 77 11 set set NOUN iajs-2474 77 12 . . PUNCT iajs-2474 78 1 ⱥ ⱥ PART iajs-2474 79 1 ṭȓ ṭȓ PRON iajs-2474 80 1 ⱥ ⱥ X iajs-2474 80 2 ňpo ňpo VERB iajs-2474 80 3 ҳ ҳ X iajs-2474 80 4 ňpc ňpc ADP iajs-2474 80 5 ҳ ҳ NOUN iajs-2474 80 6   NOUN iajs-2474 80 7 ҳ ҳ NOUN iajs-2474 80 8 , , PUNCT iajs-2474 80 9 ∅ ∅ NOUN iajs-2474 80 10 p p NOUN iajs-2474 80 11 ҳ ҳ PROPN iajs-2474 80 12 p p X iajs-2474 80 13 ҳ ҳ PROPN iajs-2474 80 14 ҳ ҳ SYM iajs-2474 80 15 ҳ ҳ NOUN iajs-2474 80 16 , , PUNCT iajs-2474 80 17 ∅ ∅ NOUN iajs-2474 80 18 p p NOUN iajs-2474 80 19 ҳ ҳ PROPN iajs-2474 80 20 p p X iajs-2474 80 21 ҳ ҳ PROPN iajs-2474 80 22 ӿ ӿ X iajs-2474 80 23 ҳ ҳ NOUN iajs-2474 80 24 , , PUNCT iajs-2474 80 25 ∅ ∅ NOUN iajs-2474 80 26 , , PUNCT iajs-2474 80 27 ӿ ӿ X iajs-2474 80 28 , , PUNCT iajs-2474 80 29 ӿ ӿ PROPN iajs-2474 80 30 ҳ ҳ PROPN iajs-2474 80 31 , , PUNCT iajs-2474 80 32 ∅ ∅ NOUN iajs-2474 80 33 , , PUNCT iajs-2474 80 34 ӿ ӿ X iajs-2474 80 35 , , PUNCT iajs-2474 80 36 ӿ ӿ X iajs-2474 80 37 , , PUNCT iajs-2474 80 38 ӿ ӿ X iajs-2474 80 39 , , PUNCT iajs-2474 80 40 ӿ ӿ X iajs-2474 80 41 , , PUNCT iajs-2474 80 42 ӿ ӿ X iajs-2474 80 43 , , PUNCT iajs-2474 80 44 ӿ ӿ X iajs-2474 80 45 , , PUNCT iajs-2474 80 46 ӿ ӿ X iajs-2474 80 47 , , PUNCT iajs-2474 80 48 ӿ ӿ PROPN iajs-2474 80 49 ҳ ҳ PROPN iajs-2474 80 50 , , PUNCT iajs-2474 80 51 ∅ ∅ NOUN iajs-2474 80 52 , , PUNCT iajs-2474 80 53 ӿ ӿ X iajs-2474 80 54 , , PUNCT iajs-2474 80 55 ӿ ӿ X iajs-2474 80 56 , , PUNCT iajs-2474 80 57 ӿ ӿ X iajs-2474 80 58 , , PUNCT iajs-2474 80 59 ӿ ӿ X iajs-2474 80 60 , , PUNCT iajs-2474 80 61 ӿ ӿ X iajs-2474 80 62 , , PUNCT iajs-2474 80 63 ӿ ӿ X iajs-2474 80 64 , , PUNCT iajs-2474 80 65 ӿ ӿ PROPN iajs-2474 80 66 ӿ ӿ PROPN iajs-2474 80 67 ҳ ҳ NOUN iajs-2474 80 68 , , PUNCT iajs-2474 80 69 ∅ ∅ NOUN iajs-2474 80 70 , , PUNCT iajs-2474 80 71 ӿ ӿ X iajs-2474 80 72 , , PUNCT iajs-2474 80 73 ӿ ӿ PROPN iajs-2474 80 74 ҳ ҳ PROPN iajs-2474 80 75 , , PUNCT iajs-2474 80 76 ∅ ∅ NOUN iajs-2474 80 77 , , PUNCT iajs-2474 80 78 ӿ ӿ X iajs-2474 80 79 , , PUNCT iajs-2474 80 80 ӿ ӿ X iajs-2474 80 81 , , PUNCT iajs-2474 80 82 ӿ ӿ X iajs-2474 80 83 , , PUNCT iajs-2474 80 84 ӿ ӿ X iajs-2474 80 85 , , PUNCT iajs-2474 80 86 ӿ ӿ X iajs-2474 80 87 , , PUNCT iajs-2474 80 88 ӿ ӿ X iajs-2474 80 89 , , PUNCT iajs-2474 80 90 ӿ ӿ X iajs-2474 80 91 , , PUNCT iajs-2474 80 92 ӿ ӿ PROPN iajs-2474 80 93 ҳ ҳ PROPN iajs-2474 80 94 , , PUNCT iajs-2474 80 95 ∅ ∅ NOUN iajs-2474 80 96 , , PUNCT iajs-2474 80 97 ӿ ӿ X iajs-2474 80 98 , , PUNCT iajs-2474 80 99 ӿ ӿ X iajs-2474 80 100 , , PUNCT iajs-2474 80 101 ӿ ӿ X iajs-2474 80 102 , , PUNCT iajs-2474 80 103 ӿ ӿ X iajs-2474 80 104 , , PUNCT iajs-2474 80 105 ӿ ӿ X iajs-2474 80 106 , , PUNCT iajs-2474 80 107 ӿ ӿ X iajs-2474 80 108 , , PUNCT iajs-2474 80 109 ӿ ӿ PROPN iajs-2474 80 110 ӿ ӿ PROPN iajs-2474 80 111 ҳ ҳ NOUN iajs-2474 80 112 , , PUNCT iajs-2474 80 113 ∅ ∅ NOUN iajs-2474 80 114 , , PUNCT iajs-2474 80 115 ӿ ӿ PROPN iajs-2474 80 116 ҳ ҳ NOUN iajs-2474 80 117 , , PUNCT iajs-2474 80 118 ∅ ∅ NOUN iajs-2474 80 119 , , PUNCT iajs-2474 80 120 ӿ ӿ X iajs-2474 80 121 , , PUNCT iajs-2474 80 122 ӿ ӿ X iajs-2474 80 123 , , PUNCT iajs-2474 80 124 ӿ ӿ X iajs-2474 80 125 , , PUNCT iajs-2474 80 126 ӿ ӿ X iajs-2474 80 127 , , PUNCT iajs-2474 80 128 ӿ ӿ PROPN iajs-2474 80 129 ҳ ҳ PROPN iajs-2474 80 130 , , PUNCT iajs-2474 80 131 ∅ ∅ NOUN iajs-2474 80 132 , , PUNCT iajs-2474 80 133 ӿ ӿ X iajs-2474 80 134 , , PUNCT iajs-2474 80 135 ӿ ӿ X iajs-2474 80 136 , , PUNCT iajs-2474 80 137 ӿ ӿ X iajs-2474 80 138 , , PUNCT iajs-2474 80 139 ӿ ӿ PROPN iajs-2474 80 140 ӿ ӿ X iajs-2474 80 141 , , PUNCT iajs-2474 80 142 ӿ ӿ PROPN iajs-2474 80 143 ҳ ҳ NOUN iajs-2474 80 144 , , PUNCT iajs-2474 80 145 ∅ ∅ NOUN iajs-2474 80 146 , , PUNCT iajs-2474 80 147 ӿ ӿ X iajs-2474 80 148 , , PUNCT iajs-2474 80 149 ӿ ӿ PROPN iajs-2474 80 150 ҳ ҳ PROPN iajs-2474 80 151 , , PUNCT iajs-2474 80 152 ∅ ∅ NOUN iajs-2474 80 153 , , PUNCT iajs-2474 80 154 ӿ ӿ X iajs-2474 80 155 , , PUNCT iajs-2474 80 156 ӿ ӿ X iajs-2474 80 157 , , PUNCT iajs-2474 80 158 ӿ ӿ X iajs-2474 80 159 , , PUNCT iajs-2474 80 160 ӿ ӿ X iajs-2474 80 161 , , PUNCT iajs-2474 80 162 ӿ ӿ X iajs-2474 80 163 , , PUNCT iajs-2474 80 164 ӿ ӿ X iajs-2474 80 165 , , PUNCT iajs-2474 80 166 ӿ ӿ X iajs-2474 80 167 , , PUNCT iajs-2474 80 168 ӿ ӿ PROPN iajs-2474 80 169 ҳ ҳ PROPN iajs-2474 80 170 , , PUNCT iajs-2474 80 171 ∅ ∅ NOUN iajs-2474 80 172 , , PUNCT iajs-2474 80 173 ӿ ӿ X iajs-2474 80 174 , , PUNCT iajs-2474 80 175 ӿ ӿ X iajs-2474 80 176 , , PUNCT iajs-2474 80 177 ӿ ӿ X iajs-2474 80 178 , , PUNCT iajs-2474 80 179 ӿ ӿ X iajs-2474 80 180 , , PUNCT iajs-2474 80 181 ӿ ӿ X iajs-2474 80 182 , , PUNCT iajs-2474 80 183 ӿ ӿ X iajs-2474 80 184 , , PUNCT iajs-2474 80 185 ӿ ӿ PROPN iajs-2474 80 186 ӿ ӿ PROPN iajs-2474 80 187 , , PUNCT iajs-2474 80 188 ӿ ӿ X iajs-2474 80 189     SPACE iajs-2474 80 190 ҳ ҳ PROPN iajs-2474 80 191 , , PUNCT iajs-2474 80 192 ∅ ∅ NOUN iajs-2474 80 193 , , PUNCT iajs-2474 80 194 ӿ ӿ X iajs-2474 80 195 , , PUNCT iajs-2474 80 196 ӿ ӿ X iajs-2474 80 197 , , PUNCT iajs-2474 80 198 ӿ ӿ VERB iajs-2474 80 199 p p PROPN iajs-2474 80 200 ҳ ҳ PROPN iajs-2474 80 201 p p X iajs-2474 80 202 ҳ ҳ PROPN iajs-2474 80 203 ӿ ӿ X iajs-2474 80 204 , , PUNCT iajs-2474 80 205 ӿ ӿ X iajs-2474 80 206     SPACE iajs-2474 80 207 ҳ ҳ PROPN iajs-2474 80 208 , , PUNCT iajs-2474 80 209 ∅ ∅ NOUN iajs-2474 80 210 , , PUNCT iajs-2474 80 211 ӿ ӿ X iajs-2474 80 212 , , PUNCT iajs-2474 80 213 ӿ ӿ X iajs-2474 80 214 , , PUNCT iajs-2474 80 215 ӿ ӿ VERB iajs-2474 80 216 p p PROPN iajs-2474 80 217 ҳ ҳ PROPN iajs-2474 80 218 p p X iajs-2474 80 219 ҳ ҳ PROPN iajs-2474 80 220 3 3 NUM iajs-2474 80 221 . . PUNCT iajs-2474 81 1 𝐍𝐚𝐧𝐨 𝐍𝐚𝐧𝐨 PROPN iajs-2474 81 2 ẛـ𝐩𝐫𝐞ـ𝐠 ẛـ𝐩𝐫𝐞ـ𝐠 VERB iajs-2474 81 3 𝐨𝐩𝐞𝐧 𝐨𝐩𝐞𝐧 ADJ iajs-2474 81 4 𝐬𝐞𝐭. 𝐬𝐞𝐭. NUM iajs-2474 81 5 in in ADP iajs-2474 81 6 this this DET iajs-2474 81 7 section section NOUN iajs-2474 81 8 and and CCONJ iajs-2474 81 9 by by ADP iajs-2474 81 10 using use VERB iajs-2474 81 11 the the DET iajs-2474 81 12 notion notion NOUN iajs-2474 81 13 of of ADP iajs-2474 81 14 nano nano NOUN iajs-2474 81 15 ideal ideal ADJ iajs-2474 81 16 topological topological ADJ iajs-2474 81 17 space space NOUN iajs-2474 81 18 and and CCONJ iajs-2474 81 19 ňـpreـopen ňـpreـopen ADJ iajs-2474 81 20 set set NOUN iajs-2474 81 21 we we PRON iajs-2474 81 22 will will AUX iajs-2474 81 23 study study VERB iajs-2474 81 24 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 81 25 set set VERB iajs-2474 81 26 with with ADP iajs-2474 81 27 some some PRON iajs-2474 81 28 of of ADP iajs-2474 81 29 it it PRON iajs-2474 81 30 is be AUX iajs-2474 81 31     SPACE iajs-2474 81 32 properties property NOUN iajs-2474 81 33 . . PUNCT iajs-2474 82 1 definition3.1 definition3.1 PROPN iajs-2474 82 2 . . PUNCT iajs-2474 83 1 in in ADP iajs-2474 83 2 ҳ ҳ NOUN iajs-2474 83 3 ‚ ‚ NOUN iajs-2474 83 4 ṭȓ ṭȓ PRON iajs-2474 83 5 ⱥ ⱥ NOUN iajs-2474 83 6 ‚ ‚ NUM iajs-2474 83 7 ẛ ẛ DET iajs-2474 83 8 ‚ ‚ NOUN iajs-2474 83 9 let let VERB iajs-2474 83 10 ⱥ ⱥ PRON iajs-2474 83 11 ⊆ ⊆ NUM iajs-2474 83 12 ҳ. ҳ. ADV iajs-2474 83 13 then then ADV iajs-2474 83 14 ⱥ ⱥ PROPN iajs-2474 83 15 is be AUX iajs-2474 83 16 namely namely ADV iajs-2474 83 17 nano nano NOUN iajs-2474 83 18 ẛـpreـgـclosed ẛـpreـgـclose VERB iajs-2474 83 19 set set NOUN iajs-2474 83 20 symbolize symbolize PROPN iajs-2474 83 21 ňẛpgـ ňẛpgـ PROPN iajs-2474 83 22 closed close VERB iajs-2474 83 23 if if SCONJ iajs-2474 83 24 cl cl NOUN iajs-2474 83 25 ⱥ ⱥ VERB iajs-2474 83 26 џـ џـ ADP iajs-2474 83 27 ∈ ∈ PROPN iajs-2474 83 28 ẛ ẛ PROPN iajs-2474 83 29 whenever whenever SCONJ iajs-2474 83 30 ⱥـџ ⱥـџ PROPN iajs-2474 83 31 ∈ ∈ PROPN iajs-2474 83 32 ẛ ẛ PROPN iajs-2474 83 33 and and CCONJ iajs-2474 83 34 џ џ PROPN iajs-2474 83 35 is be AUX iajs-2474 83 36 a a DET iajs-2474 83 37 nano nano NOUN iajs-2474 83 38 preـopen preـopen NOUN iajs-2474 83 39 subset subset NOUN iajs-2474 83 40 of of ADP iajs-2474 83 41 ҳ. ҳ. PROPN iajs-2474 83 42 ⱥ ⱥ X iajs-2474 83 43 is be AUX iajs-2474 83 44 namely namely ADV iajs-2474 83 45 nano nano ADJ iajs-2474 83 46 ẛـpreـgـopen ẛـpreـgـopen VERB iajs-2474 83 47 set set VERB iajs-2474 83 48 symbolize symbolize NOUN iajs-2474 83 49 ňـẛpgـopen ňـẛpgـopen VERB iajs-2474 83 50 . . PUNCT iajs-2474 84 1 the the DET iajs-2474 84 2 collection collection NOUN iajs-2474 84 3 of of ADP iajs-2474 84 4 all all DET iajs-2474 84 5 nano nano NOUN iajs-2474 84 6 ẛpgـclosed ẛpgـclose VERB iajs-2474 84 7 sets set NOUN iajs-2474 84 8 respectively respectively ADV iajs-2474 84 9 nano nano NOUN iajs-2474 84 10 ẛpgـopen ẛpgـopen ADJ iajs-2474 84 11 sets set NOUN iajs-2474 84 12 in in ADP iajs-2474 84 13 ҳ‚ṭȓ ҳ‚ṭȓ PROPN iajs-2474 84 14 ⱥ ⱥ PROPN iajs-2474 84 15 ‚ ‚ NUM iajs-2474 84 16 ẛ ẛ NOUN iajs-2474 84 17 symbolizes symbolize VERB iajs-2474 84 18 ňـẛpgc ňـẛpgc VERB iajs-2474 84 19 ҳ ҳ NOUN iajs-2474 84 20 respectively respectively ADV iajs-2474 84 21 ňـẛpgo ňـẛpgo PROPN iajs-2474 84 22 ҳ ҳ PROPN iajs-2474 84 23 . . PUNCT iajs-2474 85 1 from from ADP iajs-2474 85 2 table table NOUN iajs-2474 85 3 3 3 NUM iajs-2474 85 4 . . PUNCT iajs-2474 86 1 we we PRON iajs-2474 86 2 can can AUX iajs-2474 86 3 calculate calculate VERB iajs-2474 86 4 and and CCONJ iajs-2474 86 5 note note VERB iajs-2474 86 6 that that SCONJ iajs-2474 86 7 all all DET iajs-2474 86 8 nano nano NOUN iajs-2474 86 9 ẛـpreـgـclosed ẛـpreـgـclose VERB iajs-2474 86 10 set set NOUN iajs-2474 87 1 and and CCONJ iajs-2474 87 2 it it PRON iajs-2474 87 3 is be AUX iajs-2474 87 4 complement complement VERB iajs-2474 87 5 nano nano NOUN iajs-2474 87 6 ẛـpreـgـopen ẛـpreـgـopen NOUN iajs-2474 87 7 set set VERB iajs-2474 87 8 from from ADP iajs-2474 87 9 the the DET iajs-2474 87 10 space space NOUN iajs-2474 87 11 ҳ ҳ PROPN iajs-2474 87 12 , , PUNCT iajs-2474 87 13 ṭȓ ṭȓ PRON iajs-2474 87 14 ⱥ ⱥ PROPN iajs-2474 87 15 , , PUNCT iajs-2474 87 16 ẛ ẛ NOUN iajs-2474 87 17 ) ) PUNCT iajs-2474 87 18 , , PUNCT iajs-2474 87 19 where where SCONJ iajs-2474 87 20 ҳ ҳ PROPN iajs-2474 87 21 ӿ ӿ X iajs-2474 87 22 , , PUNCT iajs-2474 87 23 ӿ ӿ X iajs-2474 87 24 , , PUNCT iajs-2474 87 25 ӿ ӿ X iajs-2474 87 26 , , PUNCT iajs-2474 87 27 ȓ ȓ PROPN iajs-2474 87 28 ӿ ӿ X iajs-2474 87 29 , , PUNCT iajs-2474 87 30 ӿ ӿ X iajs-2474 87 31 , , PUNCT iajs-2474 87 32 ӿ ӿ X iajs-2474 87 33 , , PUNCT iajs-2474 87 34 ӿ ӿ X iajs-2474 87 35 , , PUNCT iajs-2474 87 36 ӿ ӿ X iajs-2474 87 37 , , PUNCT iajs-2474 87 38 ӿ ӿ X iajs-2474 87 39 , , PUNCT iajs-2474 87 40 ӿ ӿ X iajs-2474 87 41 , , PUNCT iajs-2474 87 42 ӿ ӿ X iajs-2474 87 43 , , PUNCT iajs-2474 87 44 ӿ ӿ X iajs-2474 87 45 , , PUNCT iajs-2474 87 46 ӿ ӿ PROPN iajs-2474 87 47 , , PUNCT iajs-2474 87 48 ẛ ẛ NOUN iajs-2474 87 49 ∅ ∅ NOUN iajs-2474 87 50 , , PUNCT iajs-2474 87 51 ӿ ӿ X iajs-2474 87 52 . . PUNCT iajs-2474 87 53     SPACE iajs-2474 88 1 73 73 NUM iajs-2474 88 2 ibn ibn PROPN iajs-2474 88 3 al al PROPN iajs-2474 88 4 - - PUNCT iajs-2474 88 5 haitham haitham PROPN iajs-2474 88 6 jour jour X iajs-2474 88 7 . . PROPN iajs-2474 88 8 for for ADP iajs-2474 88 9 pure pure ADJ iajs-2474 88 10 & & CCONJ iajs-2474 88 11 appl appl PROPN iajs-2474 88 12 . . PUNCT iajs-2474 89 1 sci sci PROPN iajs-2474 89 2 . . PROPN iajs-2474 90 1 33 33 NUM iajs-2474 90 2 ( ( PUNCT iajs-2474 90 3 3 3 NUM iajs-2474 90 4 ) ) PUNCT iajs-2474 90 5 2020 2020 NUM iajs-2474 90 6 table table NOUN iajs-2474 90 7 3.nano 3.nano NUM iajs-2474 90 8 ẛـpreـgـclosed ẛـpreـgـclose VERB iajs-2474 90 9 set set NOUN iajs-2474 90 10 . . PUNCT iajs-2474 91 1 all all DET iajs-2474 91 2 nano nano NOUN iajs-2474 91 3 ẛـpreـgـclosed ẛـpreـgـclose VERB iajs-2474 91 4 set set NOUN iajs-2474 91 5 and and CCONJ iajs-2474 91 6 nano nano NOUN iajs-2474 91 7 ẛـpreـgـopen ẛـpreـgـopen NOUN iajs-2474 91 8 set set VERB iajs-2474 91 9 from from ADP iajs-2474 91 10 the the DET iajs-2474 91 11 space space NOUN iajs-2474 91 12 ҳ ҳ PROPN iajs-2474 91 13 , , PUNCT iajs-2474 91 14 ṭȓ ṭȓ DET iajs-2474 91 15 ⱥ ⱥ PROPN iajs-2474 91 16 , , PUNCT iajs-2474 91 17 ẛ ẛ NOUN iajs-2474 91 18 ) ) PUNCT iajs-2474 91 19 , , PUNCT iajs-2474 91 20 where where SCONJ iajs-2474 91 21 ҳ ҳ PROPN iajs-2474 91 22 ӿ ӿ X iajs-2474 91 23 , , PUNCT iajs-2474 91 24 ӿ ӿ X iajs-2474 91 25 , , PUNCT iajs-2474 91 26 ӿ ӿ X iajs-2474 91 27 , , PUNCT iajs-2474 91 28 ȓ ȓ PROPN iajs-2474 91 29 ӿ ӿ X iajs-2474 91 30 , , PUNCT iajs-2474 91 31 ӿ ӿ X iajs-2474 91 32 , , PUNCT iajs-2474 91 33 ӿ ӿ X iajs-2474 91 34 , , PUNCT iajs-2474 91 35 ӿ ӿ X iajs-2474 91 36 , , PUNCT iajs-2474 91 37 ӿ ӿ X iajs-2474 91 38 , , PUNCT iajs-2474 91 39 ӿ ӿ X iajs-2474 91 40 , , PUNCT iajs-2474 91 41 ӿ ӿ X iajs-2474 91 42 , , PUNCT iajs-2474 91 43 ӿ ӿ X iajs-2474 91 44 , , PUNCT iajs-2474 91 45 ӿ ӿ X iajs-2474 91 46 , , PUNCT iajs-2474 91 47 ӿ ӿ PROPN iajs-2474 91 48 , , PUNCT iajs-2474 91 49 ẛ ẛ NOUN iajs-2474 91 50 ∅ ∅ NOUN iajs-2474 91 51 , , PUNCT iajs-2474 91 52 ӿ ӿ PRON iajs-2474 91 53 remark3.2 remark3.2 NOUN iajs-2474 91 54 : : PUNCT iajs-2474 91 55 for for ADP iajs-2474 91 56 ҳ ҳ NOUN iajs-2474 91 57 ‚ ‚ NUM iajs-2474 91 58 ṭȓ ṭȓ ADP iajs-2474 91 59 ⱥ ⱥ X iajs-2474 91 60 , , PUNCT iajs-2474 91 61 ẛ ẛ DET iajs-2474 91 62 i. i. PROPN iajs-2474 91 63 every every DET iajs-2474 91 64 nano nano NOUN iajs-2474 91 65 closed close VERB iajs-2474 91 66 set set NOUN iajs-2474 91 67 is be AUX iajs-2474 91 68 an an DET iajs-2474 91 69 ňـẛpgـclosed ňـẛpgـclosed NOUN iajs-2474 91 70 . . PUNCT iajs-2474 92 1 ii ii PROPN iajs-2474 92 2 . . PUNCT iajs-2474 93 1 every every DET iajs-2474 93 2 nano nano NOUN iajs-2474 93 3 open open ADJ iajs-2474 93 4 set set NOUN iajs-2474 93 5 is be AUX iajs-2474 93 6 an an DET iajs-2474 93 7 ňـẛpgـopen ňـẛpgـopen NOUN iajs-2474 93 8 . . PUNCT iajs-2474 94 1 proof proof NOUN iajs-2474 94 2 ( ( PUNCT iajs-2474 94 3 i i NOUN iajs-2474 94 4 ): ): PUNCT iajs-2474 94 5 let let VERB iajs-2474 94 6 ⱥ ⱥ PRON iajs-2474 94 7 be be AUX iajs-2474 94 8 any any DET iajs-2474 94 9 nano nano NOUN iajs-2474 94 10 closed close VERB iajs-2474 94 11 set set VERB iajs-2474 94 12 in in ADP iajs-2474 94 13 ҳ ҳ PROPN iajs-2474 94 14 ‚ ‚ NUM iajs-2474 94 15 ṭ ṭ NUM iajs-2474 94 16 ‚ ‚ NOUN iajs-2474 94 17 ẛ ẛ NOUN iajs-2474 94 18 and and CCONJ iajs-2474 94 19 џ џ PROPN iajs-2474 94 20 be be AUX iajs-2474 94 21 a a DET iajs-2474 94 22 nanoـpreـopen nanoـpreـopen NOUN iajs-2474 94 23 set set NOUN iajs-2474 94 24 such such ADJ iajs-2474 94 25 that that DET iajs-2474 94 26 ⱥـџ ⱥـџ PROPN iajs-2474 94 27 ∈ ∈ PROPN iajs-2474 94 28 ẛ ẛ NOUN iajs-2474 94 29 , , PUNCT iajs-2474 94 30 but but CCONJ iajs-2474 94 31 cl cl INTJ iajs-2474 94 32 ⱥ ⱥ X iajs-2474 94 33 ⱥ ⱥ X iajs-2474 94 34 , , PUNCT iajs-2474 94 35 so so ADV iajs-2474 94 36 cl cl INTJ iajs-2474 94 37 ⱥ ⱥ X iajs-2474 94 38 џ џ NOUN iajs-2474 94 39 ـ ـ X iajs-2474 94 40 ⱥـ ⱥـ PROPN iajs-2474 94 41 џ џ PROPN iajs-2474 94 42 ∈ ∈ PROPN iajs-2474 94 43 ẛ ẛ NOUN iajs-2474 94 44 . . PUNCT iajs-2474 94 45     SPACE iajs-2474 94 46 this this PRON iajs-2474 94 47 implies imply VERB iajs-2474 94 48 , , PUNCT iajs-2474 94 49     SPACE iajs-2474 94 50 ⱥ ⱥ PROPN iajs-2474 94 51 is be AUX iajs-2474 94 52 an an DET iajs-2474 94 53 nanoـẛـpreـgـ nanoـẛـpreـgـ ADJ iajs-2474 94 54 closed closed ADJ iajs-2474 94 55 set set NOUN iajs-2474 94 56 . . PUNCT iajs-2474 95 1 proof proof NOUN iajs-2474 95 2 ( ( PUNCT iajs-2474 95 3 ii ii NOUN iajs-2474 95 4 ): ): PUNCT iajs-2474 95 5 let let VERB iajs-2474 95 6 џ џ PRON iajs-2474 95 7 be be AUX iajs-2474 95 8 any any DET iajs-2474 95 9 nano nano NOUN iajs-2474 95 10 open open ADJ iajs-2474 95 11 set set NOUN iajs-2474 95 12 in in ADP iajs-2474 95 13 ҳ ҳ PROPN iajs-2474 95 14 ‚ ‚ NUM iajs-2474 95 15 ṭ ṭ SYM iajs-2474 95 16 ‚ ‚ NOUN iajs-2474 95 17 ẛ ẛ NOUN iajs-2474 95 18 , , PUNCT iajs-2474 95 19 then then ADV iajs-2474 95 20 џ џ PROPN iajs-2474 95 21 is be AUX iajs-2474 95 22 a a DET iajs-2474 95 23 nano nano NOUN iajs-2474 95 24 closed close VERB iajs-2474 95 25 set set NOUN iajs-2474 95 26 . . PUNCT iajs-2474 96 1 this this PRON iajs-2474 96 2 implies imply VERB iajs-2474 96 3 that that SCONJ iajs-2474 96 4 џ џ PROPN iajs-2474 96 5 is be AUX iajs-2474 96 6 an an DET iajs-2474 96 7 nanoـ nanoـ NOUN iajs-2474 96 8 ẛـpre ẛـpre NOUN iajs-2474 96 9 ـg ـg ADV iajs-2474 96 10 ـclosed ـclose VERB iajs-2474 96 11 set set NOUN iajs-2474 96 12 , , PUNCT iajs-2474 96 13 thus thus ADV iajs-2474 96 14 , , PUNCT iajs-2474 96 15 џ џ PRON iajs-2474 96 16 is be AUX iajs-2474 96 17 an an DET iajs-2474 96 18 nanoـẛـ nanoـẛـ NOUN iajs-2474 96 19 pre pre X iajs-2474 96 20 ـg ـg ADP iajs-2474 96 21 ـopen ـopen NOUN iajs-2474 96 22 set set VERB iajs-2474 96 23 . . PUNCT iajs-2474 97 1 reverse reverse NOUN iajs-2474 97 2 of of ADP iajs-2474 97 3 remark3.2 remark3.2 NOUN iajs-2474 97 4 is be AUX iajs-2474 97 5 not not PART iajs-2474 97 6 correct correct ADJ iajs-2474 97 7 from from ADP iajs-2474 97 8 table table NOUN iajs-2474 97 9 3 3 NUM iajs-2474 97 10 . . PUNCT iajs-2474 98 1 if if SCONJ iajs-2474 98 2 ⱥ ⱥ X iajs-2474 98 3 ӿ ӿ X iajs-2474 98 4 then then ADV iajs-2474 98 5 ӿ ӿ X iajs-2474 98 6 , , PUNCT iajs-2474 98 7 ӿ ӿ PROPN iajs-2474 98 8 is be AUX iajs-2474 98 9 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 98 10 not not PART iajs-2474 98 11 nano nano NOUN iajs-2474 98 12 closed close VERB iajs-2474 98 13 and and CCONJ iajs-2474 98 14 ӿ ӿ X iajs-2474 98 15 , , PUNCT iajs-2474 98 16 ӿ ӿ PROPN iajs-2474 98 17 is be AUX iajs-2474 98 18 ňـẛpgـopen ňـẛpgـopen ADJ iajs-2474 98 19 not not PART iajs-2474 98 20 nano nano VERB iajs-2474 98 21 open open ADJ iajs-2474 98 22 . . PUNCT iajs-2474 99 1 4 4 X iajs-2474 99 2 . . X iajs-2474 99 3 𝐍𝐚𝐧𝐨ـẛـ 𝐍𝐚𝐧𝐨ـẛـ NOUN iajs-2474 99 4 𝐩𝐫𝐞ـ 𝐩𝐫𝐞ـ NOUN iajs-2474 99 5 𝐠ـ 𝐠ـ ADP iajs-2474 99 6 𝐊𝐞𝐫𝐧𝐚𝐥 𝐊𝐞𝐫𝐧𝐚𝐥 PROPN iajs-2474 99 7 𝐨𝐟 𝐨𝐟 ADP iajs-2474 99 8 𝐒𝐞𝐭. 𝐒𝐞𝐭. PROPN iajs-2474 99 9 in in ADP iajs-2474 99 10 this this DET iajs-2474 99 11 section section NOUN iajs-2474 99 12 and and CCONJ iajs-2474 99 13 by by ADP iajs-2474 99 14 using use VERB iajs-2474 99 15 the the DET iajs-2474 99 16 topics topic NOUN iajs-2474 99 17 described describe VERB iajs-2474 99 18 earlier early ADV iajs-2474 99 19 as as SCONJ iajs-2474 99 20 nano nano NOUN iajs-2474 99 21 ideal ideal ADJ iajs-2474 99 22 space space NOUN iajs-2474 99 23 and and CCONJ iajs-2474 99 24 ňـẛpgـopen ňـẛpgـopen PROPN iajs-2474 99 25 set set NOUN iajs-2474 99 26 , , PUNCT iajs-2474 99 27 many many ADJ iajs-2474 99 28 of of ADP iajs-2474 99 29 the the DET iajs-2474 99 30 topological topological ADJ iajs-2474 99 31 properties property NOUN iajs-2474 99 32 will will AUX iajs-2474 99 33 be be AUX iajs-2474 99 34 presented present VERB iajs-2474 99 35 . . PUNCT iajs-2474 100 1 definition definition NOUN iajs-2474 100 2 4.1 4.1 NUM iajs-2474 100 3 . . PUNCT iajs-2474 101 1 let let VERB iajs-2474 101 2 ҳ ҳ NOUN iajs-2474 101 3 , , PUNCT iajs-2474 101 4 ṭȓ ṭȓ DET iajs-2474 101 5 ⱥ ⱥ X iajs-2474 101 6 , , PUNCT iajs-2474 101 7 ẛ ẛ PRON iajs-2474 101 8 be be AUX iajs-2474 101 9 a a DET iajs-2474 101 10 nano nano NOUN iajs-2474 101 11 ideal ideal ADJ iajs-2474 101 12 topological topological ADJ iajs-2474 101 13 space space NOUN iajs-2474 101 14 and and CCONJ iajs-2474 101 15 ƀ ƀ PRON iajs-2474 101 16 ⊆ ⊆ NUM iajs-2474 101 17 ҳ. ҳ. ADV iajs-2474 101 18 then then ADV iajs-2474 101 19 nano nano PROPN iajs-2474 101 20 ẛـpreـgـkernal ẛـpreـgـkernal NOUN iajs-2474 101 21 of of ADP iajs-2474 101 22 ƀ ƀ NOUN iajs-2474 101 23     SPACE iajs-2474 101 24 is be AUX iajs-2474 101 25     SPACE iajs-2474 101 26 symbolized symbolize VERB iajs-2474 101 27 by by ADP iajs-2474 101 28 ňـẛpgـker(ƀ ňـẛpgـker(ƀ NOUN iajs-2474 101 29 ) ) PUNCT iajs-2474 101 30 ∩ ∩ PROPN iajs-2474 101 31 џ џ NOUN iajs-2474 101 32 : : PUNCT iajs-2474 101 33 ƀ ƀ PROPN iajs-2474 101 34 ⊆ ⊆ NUM iajs-2474 101 35 џ џ NOUN iajs-2474 101 36 , , PUNCT iajs-2474 101 37 џ џ PROPN iajs-2474 101 38 ∈ ∈ PROPN iajs-2474 101 39 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 101 40 ҳ ҳ PROPN iajs-2474 101 41 . . PUNCT iajs-2474 102 1 it it PRON iajs-2474 102 2 is be AUX iajs-2474 102 3 clear clear ADJ iajs-2474 102 4 that that SCONJ iajs-2474 102 5 ƀ ƀ PRON iajs-2474 102 6 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 102 7 ƀ ƀ X iajs-2474 102 8 whenever whenever SCONJ iajs-2474 102 9 ƀ ƀ X iajs-2474 102 10 ∈ ∈ PROPN iajs-2474 102 11 ňـẛpgo ňـẛpgo PROPN iajs-2474 102 12 ҳ ҳ PROPN iajs-2474 102 13 . . PUNCT iajs-2474 103 1 remark remark VERB iajs-2474 103 2 4.2 4.2 NUM iajs-2474 103 3 . . PUNCT iajs-2474 104 1 if if SCONJ iajs-2474 104 2 ƀ ƀ PROPN iajs-2474 104 3 ⊆ ⊆ NUM iajs-2474 104 4 ҳ ҳ PROPN iajs-2474 104 5 of of ADP iajs-2474 104 6 a a DET iajs-2474 104 7 space space NOUN iajs-2474 104 8 ҳ ҳ NOUN iajs-2474 104 9 , , PUNCT iajs-2474 104 10 ṭȓ ṭȓ PRON iajs-2474 104 11 ⱥ ⱥ INTJ iajs-2474 104 12 , , PUNCT iajs-2474 104 13 ẛ ẛ X iajs-2474 104 14 . . PUNCT iajs-2474 105 1 then then ADV iajs-2474 105 2 nano nano PROPN iajs-2474 105 3 ẛـpreـgـkernal ẛـpreـgـkernal NOUN iajs-2474 105 4 ƀ ƀ PROPN iajs-2474 105 5 ⊆ ⊆ NUM iajs-2474 105 6 nano nano NOUN iajs-2474 105 7 kernal kernal NOUN iajs-2474 105 8 ƀ ƀ PROPN iajs-2474 105 9 . . PUNCT iajs-2474 106 1 ⱥ ⱥ AUX iajs-2474 106 2 ṭȓ ṭȓ PRON iajs-2474 106 3 ⱥ ⱥ X iajs-2474 106 4 ňpo ňpo VERB iajs-2474 106 5 ҳ ҳ X iajs-2474 106 6 ňـẛـpreـgـclosedset ňـẛـpreـgـclosedset NOUN iajs-2474 106 7 ňـẛـpreـgـopenset ňـẛـpreـgـopenset VERB iajs-2474 106 8     SPACE iajs-2474 106 9 ∅ ∅ NUM iajs-2474 106 10 ҳ ҳ NOUN iajs-2474 106 11 , , PUNCT iajs-2474 106 12 ∅ ∅ NOUN iajs-2474 106 13 p p NOUN iajs-2474 106 14 ҳ ҳ PROPN iajs-2474 106 15 ҳ ҳ PROPN iajs-2474 106 16 , , PUNCT iajs-2474 106 17 ∅ ∅ NOUN iajs-2474 106 18 , , PUNCT iajs-2474 106 19 ӿ ӿ X iajs-2474 106 20 , , PUNCT iajs-2474 106 21 ӿ ӿ PROPN iajs-2474 106 22 ҳ ҳ PROPN iajs-2474 106 23 , , PUNCT iajs-2474 106 24 ∅ ∅ NOUN iajs-2474 106 25 , , PUNCT iajs-2474 106 26 ӿ ӿ VERB iajs-2474 106 27 ҳ ҳ PART iajs-2474 106 28 ҳ ҳ NOUN iajs-2474 106 29 , , PUNCT iajs-2474 106 30 ∅ ∅ NOUN iajs-2474 106 31 p p NOUN iajs-2474 106 32 ҳ ҳ PROPN iajs-2474 106 33 ҳ ҳ PROPN iajs-2474 106 34 , , PUNCT iajs-2474 106 35 ∅ ∅ NOUN iajs-2474 106 36 , , PUNCT iajs-2474 106 37 ӿ ӿ X iajs-2474 106 38 , , PUNCT iajs-2474 106 39 ӿ ӿ PROPN iajs-2474 106 40 ҳ ҳ PROPN iajs-2474 106 41 , , PUNCT iajs-2474 106 42 ∅ ∅ NOUN iajs-2474 106 43 , , PUNCT iajs-2474 106 44 ӿ ӿ X iajs-2474 106 45 ӿ ӿ PROPN iajs-2474 106 46 ҳ ҳ PROPN iajs-2474 106 47 , , PUNCT iajs-2474 106 48 ∅ ∅ NOUN iajs-2474 106 49 , , PUNCT iajs-2474 106 50 ӿ ӿ X iajs-2474 106 51 , , PUNCT iajs-2474 106 52 ӿ ӿ PROPN iajs-2474 106 53 ҳ ҳ PROPN iajs-2474 106 54 , , PUNCT iajs-2474 106 55 ∅ ∅ NOUN iajs-2474 106 56 , , PUNCT iajs-2474 106 57 ӿ ӿ X iajs-2474 106 58 , , PUNCT iajs-2474 106 59 ӿ ӿ X iajs-2474 106 60 , , PUNCT iajs-2474 106 61 ӿ ӿ X iajs-2474 106 62 , , PUNCT iajs-2474 106 63 ӿ ӿ X iajs-2474 106 64 , , PUNCT iajs-2474 106 65 ӿ ӿ X iajs-2474 106 66 , , PUNCT iajs-2474 106 67 ӿ ӿ X iajs-2474 106 68 , , PUNCT iajs-2474 106 69 ӿ ӿ X iajs-2474 106 70 , , PUNCT iajs-2474 106 71 ӿ ӿ PROPN iajs-2474 106 72 ҳ ҳ PROPN iajs-2474 106 73 , , PUNCT iajs-2474 106 74 ∅ ∅ NOUN 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106 299 , , PUNCT iajs-2474 106 300 ∅ ∅ NOUN iajs-2474 106 301 , , PUNCT iajs-2474 106 302 ӿ ӿ X iajs-2474 106 303 , , PUNCT iajs-2474 106 304 ӿ ӿ X iajs-2474 106 305 , , PUNCT iajs-2474 106 306 ӿ ӿ X iajs-2474 106 307 , , PUNCT iajs-2474 106 308 ӿ ӿ X iajs-2474 106 309 , , PUNCT iajs-2474 106 310 ӿ ӿ X iajs-2474 106 311 , , PUNCT iajs-2474 106 312 ӿ ӿ VERB iajs-2474 106 313     SPACE iajs-2474 106 314 74 74 NUM iajs-2474 106 315 ibn ibn PROPN iajs-2474 106 316 al al PROPN iajs-2474 106 317 - - PUNCT iajs-2474 106 318 haitham haitham PROPN iajs-2474 106 319 jour jour X iajs-2474 106 320 . . PROPN iajs-2474 107 1 for for ADP iajs-2474 107 2 pure pure ADJ iajs-2474 107 3 & & CCONJ iajs-2474 107 4 appl appl PROPN iajs-2474 107 5 . . PUNCT iajs-2474 108 1 sci sci PROPN iajs-2474 108 2 . . PROPN iajs-2474 109 1 33 33 NUM iajs-2474 109 2 ( ( PUNCT iajs-2474 109 3 3 3 NUM iajs-2474 109 4 ) ) PUNCT iajs-2474 109 5 2020 2020 NUM iajs-2474 110 1 proof proof NOUN iajs-2474 110 2 : : PUNCT iajs-2474 110 3 let let VERB iajs-2474 110 4 ӿ ӿ PROPN iajs-2474 110 5 ∉ ∉ PROPN iajs-2474 110 6 ňker ňker PROPN iajs-2474 110 7 ƀ ƀ PROPN iajs-2474 110 8 , , PUNCT iajs-2474 111 1 ӿ ӿ PROPN iajs-2474 111 2 ∈ ∈ PROPN iajs-2474 111 3 ҳ ҳ PROPN iajs-2474 111 4 then then ADV iajs-2474 111 5 ӿ ӿ VERB iajs-2474 111 6 ∉ ∉ PROPN iajs-2474 112 1 ⋂ ⋂ PROPN iajs-2474 112 2 џ џ PROPN iajs-2474 112 3 ∶ ∶ NOUN iajs-2474 112 4 ƀ ƀ NOUN iajs-2474 112 5 ⊆ ⊆ NUM iajs-2474 112 6 џ џ NOUN iajs-2474 112 7 , , PUNCT iajs-2474 112 8 ƀ ƀ PROPN iajs-2474 112 9 and and CCONJ iajs-2474 112 10 џ џ PRON iajs-2474 112 11 ∈ ∈ NOUN iajs-2474 112 12 ṭȓ ṭȓ VERB iajs-2474 112 13 ⱥ ⱥ X iajs-2474 112 14 , , PUNCT iajs-2474 112 15 then then ADV iajs-2474 112 16 ∃ ∃ PROPN iajs-2474 112 17 џ џ PROPN iajs-2474 112 18 ∈ ∈ PROPN iajs-2474 112 19 ṭȓ ṭȓ ADP iajs-2474 112 20 ⱥ ⱥ X iajs-2474 112 21 , , PUNCT iajs-2474 112 22 ƀ ƀ PROPN iajs-2474 112 23 ⊆ ⊆ NUM iajs-2474 112 24 џ џ NOUN iajs-2474 112 25 , , PUNCT iajs-2474 112 26 ӿ ӿ X iajs-2474 112 27 ∉ ∉ PROPN iajs-2474 112 28 џ. џ. PROPN iajs-2474 112 29 since since SCONJ iajs-2474 112 30 every every DET iajs-2474 112 31 ňـopen ňـopen NOUN iajs-2474 112 32 set set VERB iajs-2474 112 33 in in ADP iajs-2474 112 34 ҳ ҳ PROPN iajs-2474 112 35 , , PUNCT iajs-2474 112 36 ṭȓ ṭȓ PRON iajs-2474 112 37 ⱥ ⱥ NOUN iajs-2474 112 38 is be AUX iajs-2474 112 39 ňـẛpgǧopen ňـẛpgǧopen ADJ iajs-2474 112 40 in in ADP iajs-2474 112 41 ҳ ҳ PROPN iajs-2474 112 42 , , PUNCT iajs-2474 112 43 ṭȓ ṭȓ PRON iajs-2474 112 44 ⱥ ⱥ INTJ iajs-2474 112 45 , , PUNCT iajs-2474 112 46 ẛ ẛ PROPN iajs-2474 112 47 , , PUNCT iajs-2474 112 48 then then ADV iajs-2474 112 49 ∃ ∃ PROPN iajs-2474 112 50 џ џ PROPN iajs-2474 112 51 ∈ ∈ PROPN iajs-2474 112 52 ňـẛpgǧo ňـẛpgǧo ADV iajs-2474 112 53 ҳ ҳ PROPN iajs-2474 112 54 , , PUNCT iajs-2474 112 55 ƀ ƀ PROPN iajs-2474 112 56 ⊆ ⊆ NUM iajs-2474 112 57 џ џ NOUN iajs-2474 112 58 ; ; PUNCT iajs-2474 112 59 ӿ ӿ X iajs-2474 112 60 ∉ ∉ PROPN iajs-2474 112 61 џ џ PROPN iajs-2474 112 62 , , PUNCT iajs-2474 112 63 then then ADV iajs-2474 112 64 ӿ ӿ VERB iajs-2474 112 65 ∉ ∉ PROPN iajs-2474 113 1 ⋂ ⋂ PROPN iajs-2474 114 1 џ џ PROPN iajs-2474 114 2 ∶ ∶ NOUN iajs-2474 114 3 ƀ ƀ NOUN iajs-2474 114 4 ⊆ ⊆ NUM iajs-2474 114 5 џ џ NOUN iajs-2474 114 6 , , PUNCT iajs-2474 114 7 and and CCONJ iajs-2474 114 8 џ џ PRON iajs-2474 114 9 ∈ ∈ PROPN iajs-2474 114 10 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 114 11 ҳ ҳ NOUN iajs-2474 114 12 .thus .thus ADP iajs-2474 114 13 ӿ ӿ PROPN iajs-2474 114 14 ∉ ∉ PROPN iajs-2474 114 15 ňـẛpgـker ňـẛpgـker PROPN iajs-2474 114 16 ƀ ƀ X iajs-2474 114 17 . . PUNCT iajs-2474 115 1 from from ADP iajs-2474 115 2 table table NOUN iajs-2474 115 3 3 3 NUM iajs-2474 115 4 . . PUNCT iajs-2474 116 1 let let VERB iajs-2474 116 2 ⱥ= ⱥ= PROPN iajs-2474 116 3 ӿ ӿ VERB iajs-2474 116 4 , , PUNCT iajs-2474 116 5 ṭȓ ṭȓ PRON iajs-2474 116 6 ⱥ ⱥ PROPN iajs-2474 116 7 ҳ ҳ PROPN iajs-2474 116 8 , , PUNCT iajs-2474 116 9 ∅ ∅ NOUN iajs-2474 116 10 , , PUNCT iajs-2474 116 11 ӿ ӿ X iajs-2474 116 12 , , PUNCT iajs-2474 116 13 ӿ ӿ PROPN iajs-2474 116 14 , , PUNCT iajs-2474 116 15 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 116 16 ҳ ҳ PROPN iajs-2474 116 17 ҳ ҳ PROPN iajs-2474 116 18 , , PUNCT iajs-2474 116 19 ∅ ∅ NOUN iajs-2474 116 20 , , PUNCT iajs-2474 116 21 ӿ ӿ X iajs-2474 116 22 , , PUNCT iajs-2474 116 23 ӿ ӿ X iajs-2474 116 24 , , PUNCT iajs-2474 116 25 ӿ ӿ X iajs-2474 116 26 , , PUNCT iajs-2474 116 27 if if SCONJ iajs-2474 116 28 ƀ ƀ PRON iajs-2474 116 29 ӿ ӿ X iajs-2474 116 30 , , PUNCT iajs-2474 116 31 then then ADV iajs-2474 116 32 ňـ ňـ INTJ iajs-2474 116 33 ker ker VERB iajs-2474 116 34 ƀ ƀ PRON iajs-2474 116 35 ∩ ∩ ADJ iajs-2474 116 36 џ џ NOUN iajs-2474 116 37 : : PUNCT iajs-2474 116 38 ƀ ƀ PROPN iajs-2474 116 39 ⊆ ⊆ NUM iajs-2474 116 40 џ џ NOUN iajs-2474 116 41 and and CCONJ iajs-2474 116 42 џ џ PRON iajs-2474 116 43 ∈ ∈ NOUN iajs-2474 116 44 ṭȓ ṭȓ X iajs-2474 116 45 ⱥ ⱥ X iajs-2474 116 46 ӿ ӿ X iajs-2474 116 47 , , PUNCT iajs-2474 116 48 ӿ ӿ X iajs-2474 116 49 , , PUNCT iajs-2474 116 50 but but CCONJ iajs-2474 116 51 ňـẛـpreـgـkernal ňـẛـpreـgـkernal ADJ iajs-2474 116 52 ∩ ∩ NOUN iajs-2474 116 53 џ џ NOUN iajs-2474 116 54 : : PUNCT iajs-2474 116 55 ƀ ƀ PROPN iajs-2474 116 56 ⊆ ⊆ NUM iajs-2474 116 57 џ џ NOUN iajs-2474 116 58 and and CCONJ iajs-2474 116 59 џ џ PRON iajs-2474 116 60 ∈ ∈ PROPN iajs-2474 116 61 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 116 62 ҳ ҳ X iajs-2474 116 63 ӿ ӿ NOUN iajs-2474 116 64 , , PUNCT iajs-2474 116 65 so so ADV iajs-2474 117 1 ňـ ňـ ADV iajs-2474 117 2 ker ker VERB iajs-2474 117 3 ƀ ƀ X iajs-2474 117 4 ⊈ ⊈ PROPN iajs-2474 117 5 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 117 6 ƀ ƀ X iajs-2474 117 7 . . PUNCT iajs-2474 118 1 definition4.4 definition4.4 PROPN iajs-2474 118 2 . . PUNCT iajs-2474 119 1 for for ADP iajs-2474 119 2 any any DET iajs-2474 119 3 ƀ ƀ NOUN iajs-2474 119 4 ⊆ ⊆ NUM iajs-2474 119 5 ҳ ҳ PROPN iajs-2474 119 6 of of ADP iajs-2474 119 7 ҳ ҳ PROPN iajs-2474 119 8 , , PUNCT iajs-2474 119 9 ṭȓ ṭȓ DET iajs-2474 119 10 ⱥ ⱥ INTJ iajs-2474 119 11 , , PUNCT iajs-2474 119 12 ẛ ẛ X iajs-2474 119 13 . . PUNCT iajs-2474 120 1 ƀ ƀ PRON iajs-2474 120 2 is be AUX iajs-2474 120 3 namely namely ADV iajs-2474 120 4 nano nano ADJ iajs-2474 120 5 ẛpgδـ ẛpgδـ NOUN iajs-2474 120 6 set set VERB iajs-2474 120 7 if if SCONJ iajs-2474 120 8 ƀ ƀ PRON iajs-2474 120 9 ňẛpgـker ňẛpgـker VERB iajs-2474 120 10 ƀ ƀ PROPN iajs-2474 120 11 . . PUNCT iajs-2474 121 1 theorem4.5 theorem4.5 PROPN iajs-2474 121 2 . . PUNCT iajs-2474 122 1 the the DET iajs-2474 122 2 union union NOUN iajs-2474 122 3 of of ADP iajs-2474 122 4 any any DET iajs-2474 122 5 two two NUM iajs-2474 122 6 nanoـẛpgـclosed nanoـẛpgـclose VERB iajs-2474 122 7 sets set NOUN iajs-2474 122 8 is be AUX iajs-2474 122 9 an an DET iajs-2474 122 10 nanoـẛpgـclosed nanoـẛpgـclose VERB iajs-2474 122 11 set set NOUN iajs-2474 122 12 . . PUNCT iajs-2474 123 1 proof proof NOUN iajs-2474 123 2 : : PUNCT iajs-2474 123 3 let let VERB iajs-2474 123 4 ⱥ ⱥ PRON iajs-2474 123 5 and and CCONJ iajs-2474 123 6 ƀ ƀ PRON iajs-2474 123 7 are be AUX iajs-2474 123 8 two two NUM iajs-2474 123 9 nanoـẛpgـclosed nanoـẛpgـclose VERB iajs-2474 123 10 set set VERB iajs-2474 123 11 in in ADP iajs-2474 123 12 ҳ ҳ PROPN iajs-2474 123 13 ‚ ‚ NUM iajs-2474 123 14 ṭ ṭ NUM iajs-2474 123 15 ‚ ‚ NOUN iajs-2474 123 16 ẛ ẛ NOUN iajs-2474 123 17 and and CCONJ iajs-2474 123 18 џ џ PROPN iajs-2474 123 19 is be AUX iajs-2474 123 20 a a DET iajs-2474 123 21 nanoـpreـopen nanoـpreـopen ADJ iajs-2474 123 22 subsets subset NOUN iajs-2474 123 23 of of ADP iajs-2474 123 24 ҳ ҳ NOUN iajs-2474 123 25 , , PUNCT iajs-2474 123 26 where where SCONJ iajs-2474 123 27 ⱥ ⱥ PROPN iajs-2474 123 28 ∪ ∪ VERB iajs-2474 123 29 ƀ ƀ PROPN iajs-2474 123 30 џ џ VERB iajs-2474 123 31 ـ ـ X iajs-2474 123 32 ∈ ∈ PROPN iajs-2474 123 33 ẛ ẛ PRON iajs-2474 123 34 ‚ ‚ NOUN iajs-2474 123 35 then then ADV iajs-2474 123 36 ⱥ ⱥ X iajs-2474 123 37 ـ ـ X iajs-2474 123 38 џ џ PROPN iajs-2474 123 39 ∈ ∈ PROPN iajs-2474 123 40 ẛ ẛ PROPN iajs-2474 123 41 and and CCONJ iajs-2474 123 42 ƀ ƀ PRON iajs-2474 123 43 ـ ـ X iajs-2474 123 44 џ џ PROPN iajs-2474 123 45 ∈ ∈ PROPN iajs-2474 123 46 ẛ ẛ NOUN iajs-2474 123 47 , , PUNCT iajs-2474 123 48 so so ADV iajs-2474 123 49 nano nano ADJ iajs-2474 123 50 cl cl NOUN iajs-2474 123 51 ⱥ ⱥ PROPN iajs-2474 123 52 џ џ PROPN iajs-2474 123 53 ∈ẛ ∈ẛ PROPN iajs-2474 123 54 and and CCONJ iajs-2474 123 55 ـ ـ X iajs-2474 123 56 nano nano NOUN iajs-2474 123 57 cl cl NOUN iajs-2474 123 58 ƀ ƀ X iajs-2474 123 59 џ џ NOUN iajs-2474 123 60 ـ ـ X iajs-2474 123 61 ∈ ∈ PROPN iajs-2474 123 62 ẛ ẛ NOUN iajs-2474 123 63 , , PUNCT iajs-2474 123 64 therefore therefore ADV iajs-2474 123 65 , , PUNCT iajs-2474 123 66 nano nano NOUN iajs-2474 123 67 cl cl NOUN iajs-2474 123 68 ⱥ ⱥ X iajs-2474 123 69 џ џ INTJ iajs-2474 123 70 ـ ـ X iajs-2474 123 71 ∪ ∪ ADP iajs-2474 123 72 nano nano NOUN iajs-2474 123 73 cl cl NOUN iajs-2474 123 74 ƀ ƀ PRON iajs-2474 123 75 џ џ NOUN iajs-2474 123 76 ـ ـ X iajs-2474 123 77 ∈ ∈ PROPN iajs-2474 123 78 ẛ ẛ NOUN iajs-2474 123 79 , , PUNCT iajs-2474 123 80 so so ADV iajs-2474 123 81 nano nano ADJ iajs-2474 123 82 cl cl NOUN iajs-2474 123 83 ⱥ ⱥ X iajs-2474 123 84 ∪ ∪ VERB iajs-2474 123 85 ƀ ƀ PROPN iajs-2474 123 86 џ џ VERB iajs-2474 123 87 ـ ـ X iajs-2474 123 88 ∈ ∈ PROPN iajs-2474 123 89 ẛ ẛ NOUN iajs-2474 123 90 . . PUNCT iajs-2474 124 1 hence hence ADV iajs-2474 124 2 , , PUNCT iajs-2474 124 3 ⱥ ⱥ PROPN iajs-2474 124 4 ∪ ∪ NOUN iajs-2474 124 5 ƀ ƀ PROPN iajs-2474 124 6 is be AUX iajs-2474 124 7 ananoـẛ ananoـẛ ADJ iajs-2474 124 8 pg pg NOUN iajs-2474 124 9 ـclosed ـclose VERB iajs-2474 124 10 set set NOUN iajs-2474 124 11 . . PUNCT iajs-2474 125 1 corollary corollary ADJ iajs-2474 125 2 4.6 4.6 NUM iajs-2474 125 3 . . PUNCT iajs-2474 126 1 the the DET iajs-2474 126 2 intersection intersection NOUN iajs-2474 126 3 of of ADP iajs-2474 126 4 any any DET iajs-2474 126 5 two two NUM iajs-2474 126 6 nanoـẛ nanoـẛ NOUN iajs-2474 126 7 pgـopen pgـopen ADJ iajs-2474 126 8 sets set NOUN iajs-2474 126 9 is be AUX iajs-2474 126 10 a a DET iajs-2474 126 11 nanoـẛ nanoـẛ NOUN iajs-2474 126 12 pgـopen pgـopen ADJ iajs-2474 126 13 set set NOUN iajs-2474 126 14 . . PUNCT iajs-2474 127 1 proof proof NOUN iajs-2474 127 2 : : PUNCT iajs-2474 127 3 let let VERB iajs-2474 127 4 ⱥ ⱥ PRON iajs-2474 127 5 and and CCONJ iajs-2474 127 6 ƀ ƀ PRON iajs-2474 127 7 be be VERB iajs-2474 127 8 two two NUM iajs-2474 127 9 nanoـẛـpreـgـopen nanoـẛـpreـgـopen ADJ iajs-2474 127 10 sets set NOUN iajs-2474 127 11 in in ADP iajs-2474 127 12 ҳ‚ṭ ҳ‚ṭ DET iajs-2474 127 13 ‚ ‚ NOUN iajs-2474 127 14 ẛ ẛ NOUN iajs-2474 127 15 , , PUNCT iajs-2474 127 16 so so ADV iajs-2474 127 17 ⱥ ⱥ X iajs-2474 127 18 , , PUNCT iajs-2474 127 19 ƀ ƀ PROPN iajs-2474 127 20 are be AUX iajs-2474 127 21 nanoـẛـpreـgـ nanoـẛـpreـgـ ADJ iajs-2474 127 22 closed closed ADJ iajs-2474 127 23 sets set NOUN iajs-2474 127 24 , , PUNCT iajs-2474 127 25 therefore therefore ADV iajs-2474 127 26 , , PUNCT iajs-2474 127 27 ⱥ ⱥ X iajs-2474 127 28 ∪ ∪ NOUN iajs-2474 127 29 ƀ ƀ PROPN iajs-2474 127 30 is be AUX iajs-2474 127 31 ananoـẛـpreـgـ ananoـẛـpreـgـ ADJ iajs-2474 127 32 closed close VERB iajs-2474 127 33 set set VERB iajs-2474 127 34 by by ADP iajs-2474 127 35 theorem theorem NOUN iajs-2474 127 36 4.5 4.5 NUM iajs-2474 127 37 , , PUNCT iajs-2474 127 38 hence hence ADV iajs-2474 127 39 ⱥ ⱥ X iajs-2474 127 40 ∩ ∩ NOUN iajs-2474 127 41 ƀ ƀ PRON iajs-2474 127 42 is be AUX iajs-2474 127 43 a a DET iajs-2474 127 44 nanoـẛـpreـgـ nanoـẛـpreـgـ ADJ iajs-2474 127 45 closed closed ADJ iajs-2474 127 46 set set NOUN iajs-2474 127 47 , , PUNCT iajs-2474 127 48 so so SCONJ iajs-2474 127 49 ⱥ ⱥ X iajs-2474 127 50 ∩ ∩ NOUN iajs-2474 127 51 ƀ ƀ PRON iajs-2474 127 52 is be AUX iajs-2474 127 53 a a DET iajs-2474 127 54 nanoـẛـpreـgـ nanoـẛـpreـgـ ADJ iajs-2474 127 55 open open ADJ iajs-2474 127 56 set set NOUN iajs-2474 127 57 . . PUNCT iajs-2474 128 1 remark4.7 remark4.7 NOUN iajs-2474 128 2 . . PUNCT iajs-2474 129 1 if if SCONJ iajs-2474 129 2 ҳ ҳ PROPN iajs-2474 129 3 is be AUX iajs-2474 129 4 a a DET iajs-2474 129 5 finite finite NOUN iajs-2474 129 6 set set VERB iajs-2474 129 7 then then ADV iajs-2474 129 8 ƀ ƀ PRON iajs-2474 129 9 ňẛpgـker ňẛpgـker NOUN iajs-2474 129 10 ƀ ƀ PROPN iajs-2474 129 11 iff iff VERB iajs-2474 129 12 ƀ ƀ PROPN iajs-2474 129 13 ∈ ∈ PROPN iajs-2474 129 14 ňـẛpgo ňـẛpgo PROPN iajs-2474 129 15 ҳ ҳ PROPN iajs-2474 129 16 . . PUNCT iajs-2474 130 1 the the DET iajs-2474 130 2 prove prove NOUN iajs-2474 130 3 of of ADP iajs-2474 130 4 remark remark NOUN iajs-2474 130 5 4.7 4.7 NUM iajs-2474 130 6 by by ADP iajs-2474 130 7 using use VERB iajs-2474 130 8 definition definition NOUN iajs-2474 130 9 4.4 4.4 NUM iajs-2474 130 10 and and CCONJ iajs-2474 130 11 corollary corollary ADJ iajs-2474 130 12 4.6 4.6 NUM iajs-2474 130 13 . . PUNCT iajs-2474 130 14 definition4.8 definition4.8 PROPN iajs-2474 130 15 . . PUNCT iajs-2474 131 1 for for ADP iajs-2474 131 2 any any DET iajs-2474 131 3 ƀ ƀ NOUN iajs-2474 131 4 ⊆ ⊆ NUM iajs-2474 131 5 ҳ ҳ PROPN iajs-2474 131 6 of of ADP iajs-2474 131 7 a a DET iajs-2474 131 8 space space NOUN iajs-2474 131 9 ҳ ҳ NOUN iajs-2474 131 10 , , PUNCT iajs-2474 131 11 ṭȓ ṭȓ PRON iajs-2474 131 12 ⱥ ⱥ PROPN iajs-2474 131 13 , , PUNCT iajs-2474 131 14 ẛ ẛ X iajs-2474 131 15 , , PUNCT iajs-2474 131 16 the the DET iajs-2474 131 17 set set NOUN iajs-2474 131 18 ƀ ƀ X iajs-2474 131 19 is be AUX iajs-2474 131 20 namely namely ADV iajs-2474 131 21 nano nano NOUN iajs-2474 131 22 ẛpgμـclosed ẛpgμـclose VERB iajs-2474 131 23 if if SCONJ iajs-2474 131 24 ƀ ƀ PRON iajs-2474 131 25 m m PROPN iajs-2474 131 26 ∩ ∩ ADJ iajs-2474 131 27 w w NOUN iajs-2474 131 28 , , PUNCT iajs-2474 131 29 where where SCONJ iajs-2474 131 30 m m NOUN iajs-2474 131 31 is be AUX iajs-2474 131 32 nano nano NOUN iajs-2474 131 33 ẛpgδـset ẛpgδـset NOUN iajs-2474 131 34 and and CCONJ iajs-2474 131 35 w w NOUN iajs-2474 131 36 is be AUX iajs-2474 131 37 a a DET iajs-2474 131 38 nano nano NOUN iajs-2474 131 39 ẛpgـclosedset ẛpgـclosedset NOUN iajs-2474 131 40 . . PUNCT iajs-2474 132 1 from from ADP iajs-2474 132 2 table table NOUN iajs-2474 132 3 4 4 NUM iajs-2474 132 4 . . PUNCT iajs-2474 133 1 we we PRON iajs-2474 133 2 can can AUX iajs-2474 133 3 calculate calculate VERB iajs-2474 133 4 and and CCONJ iajs-2474 133 5 note note VERB iajs-2474 133 6 that that PRON iajs-2474 133 7 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 133 8 ƀ ƀ PRON iajs-2474 133 9 for for ADP iajs-2474 133 10 a a DET iajs-2474 133 11 subset subset NOUN iajs-2474 133 12 of of ADP iajs-2474 133 13 ҳ ҳ PROPN iajs-2474 133 14 where where SCONJ iajs-2474 133 15 ⱥ ⱥ X iajs-2474 133 16 ӿ ӿ X iajs-2474 133 17 , , PUNCT iajs-2474 133 18 ӿ ӿ PROPN iajs-2474 133 19 , , PUNCT iajs-2474 133 20 ṭȓ ṭȓ PRON iajs-2474 133 21 ⱥ ⱥ PROPN iajs-2474 133 22 ҳ ҳ PROPN iajs-2474 133 23 , , PUNCT iajs-2474 133 24 ∅ ∅ NOUN iajs-2474 133 25 , , PUNCT iajs-2474 133 26 ӿ ӿ X iajs-2474 133 27 , , PUNCT iajs-2474 133 28 ӿ ӿ X iajs-2474 133 29 , , PUNCT iajs-2474 133 30 ňـẛـpreـgـopen ňـẛـpreـgـopen VERB iajs-2474 133 31 ҳ ҳ PROPN iajs-2474 133 32 , , PUNCT iajs-2474 133 33 ∅ ∅ NOUN iajs-2474 133 34 , , PUNCT iajs-2474 133 35 ӿ ӿ X iajs-2474 133 36 , , PUNCT iajs-2474 133 37 ӿ ӿ X iajs-2474 133 38 , , PUNCT iajs-2474 133 39 ӿ ӿ X iajs-2474 133 40 and and CCONJ iajs-2474 133 41 ňـẛـpreـgـclosed ňـẛـpreـgـclose VERB iajs-2474 133 42 { { PUNCT iajs-2474 133 43 ҳ ҳ NOUN iajs-2474 133 44 , , PUNCT iajs-2474 133 45 ∅ ∅ NOUN iajs-2474 133 46 , , PUNCT iajs-2474 133 47 ӿ ӿ X iajs-2474 133 48 , , PUNCT iajs-2474 133 49 ӿ ӿ X iajs-2474 133 50 , , PUNCT iajs-2474 133 51 ӿ ӿ VERB iajs-2474 133 52     SPACE iajs-2474 133 53 75 75 NUM iajs-2474 133 54 ibn ibn PROPN iajs-2474 133 55 al al PROPN iajs-2474 133 56 - - PUNCT iajs-2474 133 57 haitham haitham PROPN iajs-2474 133 58 jour jour X iajs-2474 133 59 . . PROPN iajs-2474 134 1 for for ADP iajs-2474 134 2 pure pure ADJ iajs-2474 134 3 & & CCONJ iajs-2474 134 4 appl appl PROPN iajs-2474 134 5 . . PUNCT iajs-2474 135 1 sci sci PROPN iajs-2474 135 2 . . PROPN iajs-2474 136 1 33 33 NUM iajs-2474 136 2 ( ( PUNCT iajs-2474 136 3 3 3 NUM iajs-2474 136 4 ) ) PUNCT iajs-2474 136 5 2020 2020 NUM iajs-2474 136 6 table table NOUN iajs-2474 136 7 4.nano 4.nano PROPN iajs-2474 136 8 ẛـpreـgـkernal ẛـpreـgـkernal NOUN iajs-2474 136 9 . . PUNCT iajs-2474 136 10         SPACE iajs-2474 136 11 from from ADP iajs-2474 136 12 table table NOUN iajs-2474 136 13 4 4 NUM iajs-2474 136 14 . . PUNCT iajs-2474 137 1 the the DET iajs-2474 137 2 sets set NOUN iajs-2474 137 3 ҳ ҳ PROPN iajs-2474 137 4 , , PUNCT iajs-2474 137 5 ∅ ∅ NOUN iajs-2474 137 6 , , PUNCT iajs-2474 137 7 ӿ ӿ NOUN iajs-2474 137 8 and and CCONJ iajs-2474 137 9 ӿ ӿ PROPN iajs-2474 137 10 , , PUNCT iajs-2474 137 11 ӿ ӿ PROPN iajs-2474 137 12 are be AUX iajs-2474 137 13 ňـẛpgδـsets ňـẛpgδـset NOUN iajs-2474 137 14 . . PUNCT iajs-2474 138 1 and and CCONJ iajs-2474 138 2 ҳ ҳ NOUN iajs-2474 138 3 , , PUNCT iajs-2474 138 4 ∅ ∅ NOUN iajs-2474 138 5 , , PUNCT iajs-2474 138 6 ӿ ӿ X iajs-2474 138 7 , , PUNCT iajs-2474 138 8 ӿ ӿ X iajs-2474 138 9 , , PUNCT iajs-2474 138 10 ӿ ӿ X iajs-2474 138 11 , , PUNCT iajs-2474 138 12 ӿ ӿ X iajs-2474 138 13 , , PUNCT iajs-2474 138 14 ӿ ӿ X iajs-2474 138 15 , , PUNCT iajs-2474 138 16 ӿ ӿ X iajs-2474 138 17 , , PUNCT iajs-2474 138 18 ӿ ӿ PROPN iajs-2474 138 19 are be AUX iajs-2474 138 20 ňـẛpgμـclosed ňـẛpgμـclose VERB iajs-2474 138 21 sets set NOUN iajs-2474 138 22 but but CCONJ iajs-2474 138 23 ӿ ӿ X iajs-2474 138 24 , , PUNCT iajs-2474 138 25 ӿ ӿ PROPN iajs-2474 138 26 is be AUX iajs-2474 138 27 not not PART iajs-2474 138 28 ňـẛpgμـclosed ňـẛpgμـclose VERB iajs-2474 138 29 since since SCONJ iajs-2474 138 30 ∄m ∄m NOUN iajs-2474 138 31 and and CCONJ iajs-2474 138 32 w w ADP iajs-2474 138 33 such such ADJ iajs-2474 138 34 that that SCONJ iajs-2474 138 35 m m PROPN iajs-2474 138 36 is be AUX iajs-2474 138 37 a a DET iajs-2474 138 38 ňـẛpgδـsets ňـẛpgδـset NOUN iajs-2474 138 39 and and CCONJ iajs-2474 138 40 w w NOUN iajs-2474 138 41 is be AUX iajs-2474 138 42 a a DET iajs-2474 138 43 ňـẛpgـclosed ňـẛpgـclosed NOUN iajs-2474 138 44 and and CCONJ iajs-2474 138 45 ӿ ӿ NOUN iajs-2474 138 46 , , PUNCT iajs-2474 138 47 ӿ ӿ X iajs-2474 138 48 m m PROPN iajs-2474 138 49 ∩ ∩ ADJ iajs-2474 138 50 w. w. NOUN iajs-2474 138 51 remark remark PROPN iajs-2474 138 52 4.9 4.9 NUM iajs-2474 138 53 . . PUNCT iajs-2474 139 1 for for ADP iajs-2474 139 2 any any DET iajs-2474 139 3 space space NOUN iajs-2474 139 4 ҳ ҳ NOUN iajs-2474 139 5 , , PUNCT iajs-2474 139 6 ṭȓ ṭȓ DET iajs-2474 139 7 ⱥ ⱥ INTJ iajs-2474 139 8 , , PUNCT iajs-2474 139 9 ẛ ẛ NOUN iajs-2474 139 10 : : PUNCT iajs-2474 139 11 i. i. NOUN iajs-2474 139 12 every every DET iajs-2474 139 13 nano nano NOUN iajs-2474 139 14 ẛpgـclosed ẛpgـclose VERB iajs-2474 139 15 set set NOUN iajs-2474 139 16 is be AUX iajs-2474 139 17 nano nano NOUN iajs-2474 139 18 ẛpg ẛpg NUM iajs-2474 139 19 μـclosed μـclose VERB iajs-2474 139 20 . . PUNCT iajs-2474 140 1 ii ii PROPN iajs-2474 140 2 . . PUNCT iajs-2474 141 1 every every DET iajs-2474 141 2 nano nano NOUN iajs-2474 141 3 ẛpgـ𝑜pen ẛpgـ𝑜pen NOUN iajs-2474 141 4 set set NOUN iajs-2474 141 5 is be AUX iajs-2474 141 6 nano nano NOUN iajs-2474 141 7 ẛpgμـclosed ẛpgμـclose VERB iajs-2474 141 8 . . PUNCT iajs-2474 142 1 iii iii X iajs-2474 142 2 . . PUNCT iajs-2474 143 1 every every DET iajs-2474 143 2 nano nano NOUN iajs-2474 143 3 ẛpgδـset ẛpgδـset NOUN iajs-2474 143 4 is be AUX iajs-2474 143 5 nano nano NOUN iajs-2474 143 6 ẛpgـμclosed ẛpgـμclose VERB iajs-2474 143 7 . . PUNCT iajs-2474 144 1 proof proof NOUN iajs-2474 144 2 : : PUNCT iajs-2474 144 3 ( ( PUNCT iajs-2474 144 4 i i NOUN iajs-2474 144 5 ): ): PUNCT iajs-2474 144 6 ( ( PUNCT iajs-2474 144 7 ⇒ ⇒ NOUN iajs-2474 144 8 ) ) PUNCT iajs-2474 144 9 let let VERB iajs-2474 144 10 ƀ ƀ PRON iajs-2474 144 11 be be AUX iajs-2474 144 12 an an DET iajs-2474 144 13 ňـẛpgclosed ňـẛpgclosed ADJ iajs-2474 144 14 set set NOUN iajs-2474 144 15 . . PUNCT iajs-2474 145 1 since since SCONJ iajs-2474 145 2 ҳ ҳ NOUN iajs-2474 145 3 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 145 4 ҳ ҳ NOUN iajs-2474 145 5 and and CCONJ iajs-2474 145 6 ƀ ƀ PRON iajs-2474 145 7 ҳ ҳ PROPN iajs-2474 145 8 ∩ ∩ X iajs-2474 145 9 ƀ ƀ PRON iajs-2474 145 10 such such ADJ iajs-2474 145 11 that that SCONJ iajs-2474 145 12 ҳ ҳ PROPN iajs-2474 145 13 is be AUX iajs-2474 145 14 ňـẛpgδـset ňـẛpgδـset VERB iajs-2474 145 15 and and CCONJ iajs-2474 145 16 ƀ ƀ PRON iajs-2474 145 17 is be AUX iajs-2474 145 18 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 145 19 set set NOUN iajs-2474 145 20 , , PUNCT iajs-2474 145 21 hence hence ADV iajs-2474 145 22 ƀ ƀ PROPN iajs-2474 145 23 is be AUX iajs-2474 145 24 nano nano NOUN iajs-2474 145 25 ẛpgـμclosed ẛpgـμclose VERB iajs-2474 145 26 . . PUNCT iajs-2474 146 1 ( ( PUNCT iajs-2474 146 2 ii ii NOUN iajs-2474 146 3 ): ): PUNCT iajs-2474 146 4 ( ( PUNCT iajs-2474 146 5 ⇒ ⇒ NOUN iajs-2474 146 6 ) ) PUNCT iajs-2474 146 7 let let VERB iajs-2474 146 8 ƀ ƀ PRON iajs-2474 146 9 is be AUX iajs-2474 146 10 nano nano X iajs-2474 146 11 ẛpgـopen ẛpgـopen ADJ iajs-2474 146 12 set set NOUN iajs-2474 146 13 . . PUNCT iajs-2474 147 1 then then ADV iajs-2474 147 2 ƀ ƀ PRON iajs-2474 147 3 nano nano NOUN iajs-2474 147 4 ẛpgـker ẛpgـker X iajs-2474 147 5 ƀ ƀ PRON iajs-2474 147 6 by by ADP iajs-2474 147 7 remark remark NOUN iajs-2474 147 8 4.7 4.7 NUM iajs-2474 147 9 , , PUNCT iajs-2474 147 10 ҳ ҳ NOUN iajs-2474 147 11 finite finite NOUN iajs-2474 147 12 . . PUNCT iajs-2474 148 1 then then ADV iajs-2474 148 2 ƀ ƀ PROPN iajs-2474 148 3 is be AUX iajs-2474 148 4 an an DET iajs-2474 148 5 ňـẛpgδـset ňـẛpgδـset NOUN iajs-2474 148 6 , , PUNCT iajs-2474 148 7 so so ADV iajs-2474 148 8 ƀ ƀ PROPN iajs-2474 148 9 is be AUX iajs-2474 148 10 ňـẛpgμـclosed ňـẛpgμـclose VERB iajs-2474 148 11 , , PUNCT iajs-2474 148 12 by by ADP iajs-2474 148 13 ( ( PUNCT iajs-2474 148 14 part part NOUN iajs-2474 148 15 i i NOUN iajs-2474 148 16 ) ) PUNCT iajs-2474 148 17 . . PUNCT iajs-2474 149 1 ( ( PUNCT iajs-2474 149 2 iii iii X iajs-2474 149 3 ): ): PUNCT iajs-2474 149 4 ( ( PUNCT iajs-2474 149 5 ⇒ ⇒ NOUN iajs-2474 149 6 ) ) PUNCT iajs-2474 149 7 let let VERB iajs-2474 149 8 ƀ ƀ PRON iajs-2474 149 9 ňـẛpgker ňـẛpgker ADJ iajs-2474 149 10 ƀ ƀ PROPN iajs-2474 149 11 . . PUNCT iajs-2474 150 1 but but CCONJ iajs-2474 150 2 ƀ ƀ PRON iajs-2474 150 3 ƀ ƀ PROPN iajs-2474 150 4 ∩ ∩ ADJ iajs-2474 150 5 ҳ ҳ NOUN iajs-2474 150 6 and and CCONJ iajs-2474 150 7 ҳ ҳ PROPN iajs-2474 150 8 is be AUX iajs-2474 150 9 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 150 10 . . PUNCT iajs-2474 151 1 so so ADV iajs-2474 151 2 ƀ ƀ PRON iajs-2474 151 3 is be AUX iajs-2474 151 4 a a DET iajs-2474 151 5 ňـẛpgـμclosed ňـẛpgـμclose VERB iajs-2474 151 6 . . PUNCT iajs-2474 151 7 example example NOUN iajs-2474 152 1 4.10 4.10 NUM iajs-2474 152 2 . . PUNCT iajs-2474 153 1 from from ADP iajs-2474 153 2 table table NOUN iajs-2474 153 3 3 3 NUM iajs-2474 153 4 . . PUNCT iajs-2474 154 1 and and CCONJ iajs-2474 154 2 table table VERB iajs-2474 154 3 4 4 NUM iajs-2474 154 4 . . PUNCT iajs-2474 155 1 ( ( PUNCT iajs-2474 155 2 i i NOUN iajs-2474 155 3 ) ) PUNCT iajs-2474 155 4 where where SCONJ iajs-2474 155 5 ⱥ ⱥ PRON iajs-2474 155 6 ӿ ӿ X iajs-2474 155 7 , , PUNCT iajs-2474 155 8 ӿ ӿ PROPN iajs-2474 155 9 , , PUNCT iajs-2474 155 10 ṭȓ ṭȓ PRON iajs-2474 155 11 ⱥ ⱥ PROPN iajs-2474 155 12 ҳ ҳ NOUN iajs-2474 155 13 , , PUNCT iajs-2474 155 14 ∅ ∅ NOUN iajs-2474 155 15 , , PUNCT iajs-2474 155 16 ӿ ӿ X iajs-2474 155 17 , , PUNCT iajs-2474 155 18 ӿ ӿ X iajs-2474 155 19 , , PUNCT iajs-2474 155 20 ӿ ӿ PROPN iajs-2474 155 21 , , PUNCT iajs-2474 155 22 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 155 23 ҳ ҳ PROPN iajs-2474 155 24 ҳ ҳ PROPN iajs-2474 155 25 , , PUNCT iajs-2474 155 26 ∅ ∅ NOUN iajs-2474 155 27 , , PUNCT iajs-2474 155 28 ӿ ӿ X iajs-2474 155 29 , , PUNCT iajs-2474 155 30 ӿ ӿ X iajs-2474 155 31 , , PUNCT iajs-2474 155 32 ӿ ӿ X iajs-2474 155 33 , , PUNCT iajs-2474 155 34 ӿ ӿ X iajs-2474 155 35 , , PUNCT iajs-2474 155 36 ӿ ӿ X iajs-2474 155 37 , , PUNCT iajs-2474 155 38 ӿ ӿ PROPN iajs-2474 155 39 and and CCONJ iajs-2474 155 40 ňـẛpgـc ňـẛpgـc VERB iajs-2474 155 41 ҳ ҳ SYM iajs-2474 155 42 ҳ ҳ PROPN iajs-2474 155 43 , , PUNCT iajs-2474 155 44 ∅ ∅ NOUN iajs-2474 155 45 , , PUNCT iajs-2474 155 46 ӿ ӿ X iajs-2474 155 47 , , PUNCT iajs-2474 155 48 ӿ ӿ X iajs-2474 155 49 , , PUNCT iajs-2474 155 50 ӿ ӿ X iajs-2474 155 51 , , PUNCT iajs-2474 155 52 ӿ ӿ X iajs-2474 155 53 , , PUNCT iajs-2474 155 54 ӿ ӿ X iajs-2474 155 55 , , PUNCT iajs-2474 155 56 ӿ ӿ X iajs-2474 155 57 , , PUNCT iajs-2474 155 58 where where SCONJ iajs-2474 155 59 ƀ ƀ PRON iajs-2474 155 60 ӿ ӿ X iajs-2474 155 61 , , PUNCT iajs-2474 155 62 then then ADV iajs-2474 155 63 ӿ ӿ PROPN iajs-2474 155 64 is be AUX iajs-2474 155 65 ňـẛpgـμclosed ňـẛpgـμclose VERB iajs-2474 155 66 . . PUNCT iajs-2474 156 1 and and CCONJ iajs-2474 156 2 since since SCONJ iajs-2474 156 3 ӿ ӿ PRON iajs-2474 156 4 is be AUX iajs-2474 156 5 ňـẛpgδـset ňـẛpgδـset VERB iajs-2474 157 1 but but CCONJ iajs-2474 157 2 it it PRON iajs-2474 157 3 is be AUX iajs-2474 157 4 not not PART iajs-2474 157 5 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 157 6 set set VERB iajs-2474 157 7 . . PUNCT iajs-2474 158 1 ƀ ƀ PRON iajs-2474 158 2 ňـ𝐊𝐞𝐫 ňـ𝐊𝐞𝐫 NOUN iajs-2474 159 1 ƀ ƀ X iajs-2474 159 2 𝐬𝐞𝐭 𝐬𝐞𝐭 NOUN iajs-2474 159 3 ňـẛ𝐩𝐠ـ𝐊𝐞𝐫 ňـẛ𝐩𝐠ـ𝐊𝐞𝐫 X iajs-2474 159 4 ƀ ƀ PROPN iajs-2474 159 5 𝐬𝐞𝐭 𝐬𝐞𝐭 NOUN iajs-2474 159 6 { { PUNCT iajs-2474 159 7 ∅ ∅ NOUN iajs-2474 159 8 ∅ ∅ NOUN iajs-2474 159 9 ∅ ∅ NOUN iajs-2474 159 10     SPACE iajs-2474 159 11 ҳ ҳ SYM iajs-2474 159 12 ҳ ҳ X iajs-2474 159 13 ҳ ҳ NOUN iajs-2474 159 14     SPACE iajs-2474 159 15 ӿ ӿ X iajs-2474 159 16 ӿ ӿ X iajs-2474 159 17 , , PUNCT iajs-2474 159 18 ӿ ӿ X iajs-2474 159 19 ӿ ӿ NUM iajs-2474 159 20 ӿ ӿ ADP iajs-2474 159 21 ӿ ӿ PROPN iajs-2474 159 22 , , PUNCT iajs-2474 159 23 ӿ ӿ PROPN iajs-2474 159 24 ӿ ӿ PROPN iajs-2474 159 25 , , PUNCT iajs-2474 159 26 ӿ ӿ X iajs-2474 159 27     SPACE iajs-2474 159 28 ӿ ӿ VERB iajs-2474 159 29 ҳ ҳ PROPN iajs-2474 159 30 ҳ ҳ NOUN iajs-2474 159 31     SPACE iajs-2474 159 32 ӿ ӿ PROPN iajs-2474 159 33 , , PUNCT iajs-2474 159 34 ӿ ӿ PROPN iajs-2474 159 35 ӿ ӿ X iajs-2474 159 36 , , PUNCT iajs-2474 159 37 ӿ ӿ PROPN iajs-2474 159 38 ӿ ӿ PROPN iajs-2474 159 39 , , PUNCT iajs-2474 159 40 ӿ ӿ X iajs-2474 159 41     SPACE iajs-2474 159 42 ӿ ӿ VERB iajs-2474 159 43 , , PUNCT iajs-2474 159 44 ӿ ӿ VERB iajs-2474 159 45 ҳ ҳ PROPN iajs-2474 159 46 ҳ ҳ NOUN iajs-2474 159 47     SPACE iajs-2474 159 48 ӿ ӿ PROPN iajs-2474 159 49 , , PUNCT iajs-2474 159 50 ӿ ӿ VERB iajs-2474 159 51 ҳ ҳ PROPN iajs-2474 159 52 ҳ ҳ NOUN iajs-2474 159 53     SPACE iajs-2474 159 54 76 76 NUM iajs-2474 159 55 ibn ibn PROPN iajs-2474 159 56 al al PROPN iajs-2474 159 57 - - PUNCT iajs-2474 159 58 haitham haitham PROPN iajs-2474 159 59 jour jour X iajs-2474 159 60 . . PROPN iajs-2474 160 1 for for ADP iajs-2474 160 2 pure pure ADJ iajs-2474 160 3 & & CCONJ iajs-2474 160 4 appl appl PROPN iajs-2474 160 5 . . PUNCT iajs-2474 161 1 sci sci PROPN iajs-2474 161 2 . . PROPN iajs-2474 162 1 33 33 NUM iajs-2474 162 2 ( ( PUNCT iajs-2474 162 3 3 3 NUM iajs-2474 162 4 ) ) PUNCT iajs-2474 162 5 2020 2020 NUM iajs-2474 162 6 ( ( PUNCT iajs-2474 162 7 ii ii NOUN iajs-2474 162 8 ) ) PUNCT iajs-2474 162 9 if if SCONJ iajs-2474 162 10 ⱥ ⱥ X iajs-2474 162 11 ӿ ӿ X iajs-2474 162 12 , , PUNCT iajs-2474 162 13 ӿ ӿ PROPN iajs-2474 162 14 , , PUNCT iajs-2474 162 15 ṭȓ ṭȓ PRON iajs-2474 162 16 ⱥ ⱥ PROPN iajs-2474 162 17 ҳ ҳ NOUN iajs-2474 162 18 , , PUNCT iajs-2474 162 19 ∅ ∅ NOUN iajs-2474 162 20 , , PUNCT iajs-2474 162 21 ӿ ӿ X iajs-2474 162 22 , , PUNCT iajs-2474 162 23 ӿ ӿ PROPN iajs-2474 162 24 , , PUNCT iajs-2474 162 25 ňـẛpgـo ňـẛpgـo NOUN iajs-2474 162 26 ҳ ҳ PROPN iajs-2474 162 27 ҳ ҳ PROPN iajs-2474 162 28 , , PUNCT iajs-2474 162 29 ∅ ∅ NOUN iajs-2474 162 30 , , PUNCT iajs-2474 162 31 ӿ ӿ X iajs-2474 162 32 , , PUNCT iajs-2474 162 33 ӿ ӿ X iajs-2474 162 34 , , PUNCT iajs-2474 162 35 ӿ ӿ PROPN iajs-2474 162 36 and and CCONJ iajs-2474 162 37 ňـẛpgـc ňـẛpgـc VERB iajs-2474 162 38 ҳ ҳ SYM iajs-2474 162 39 ҳ ҳ PROPN iajs-2474 162 40 , , PUNCT iajs-2474 162 41 ∅ ∅ NOUN iajs-2474 162 42 , , PUNCT iajs-2474 162 43 ӿ ӿ X iajs-2474 162 44 , , PUNCT iajs-2474 162 45 ӿ ӿ X iajs-2474 162 46 , , PUNCT iajs-2474 162 47 ӿ ӿ X iajs-2474 162 48 , , PUNCT iajs-2474 163 1 where where SCONJ iajs-2474 163 2 ƀ ƀ PRON iajs-2474 163 3 ӿ ӿ X iajs-2474 163 4 then then ADV iajs-2474 163 5 ƀ ƀ X iajs-2474 163 6 is be AUX iajs-2474 163 7 ňـẛpgـμclosed ňـẛpgـμclose VERB iajs-2474 163 8 since since SCONJ iajs-2474 163 9 ӿ ӿ PRON iajs-2474 163 10 ӿ ӿ PRON iajs-2474 163 11 ∩ ∩ NOUN iajs-2474 163 12 ҳ ҳ NOUN iajs-2474 163 13 such such ADJ iajs-2474 163 14 that that SCONJ iajs-2474 163 15 ӿ ӿ PROPN iajs-2474 163 16 ∈ ∈ PROPN iajs-2474 163 17 ňـẛpgـc ňـẛpgـc PROPN iajs-2474 163 18 ҳ ҳ NOUN iajs-2474 163 19 and and CCONJ iajs-2474 163 20 ҳ ҳ PROPN iajs-2474 163 21 is be AUX iajs-2474 163 22 a a DET iajs-2474 163 23 ňـẛpgδـset ňـẛpgδـset NOUN iajs-2474 163 24 but but CCONJ iajs-2474 163 25 it it PRON iajs-2474 163 26 is be AUX iajs-2474 163 27 not not PART iajs-2474 163 28 ňـẛpgـopen ňـẛpgـopen ADJ iajs-2474 163 29 set set NOUN iajs-2474 164 1 and and CCONJ iajs-2474 164 2 it it PRON iajs-2474 164 3 is be AUX iajs-2474 164 4 not not PART iajs-2474 164 5 ňـẛpgδـset ňـẛpgδـset VERB iajs-2474 164 6 . . PUNCT iajs-2474 165 1 proposition proposition NOUN iajs-2474 165 2 4.11 4.11 NUM iajs-2474 165 3 : : PUNCT iajs-2474 165 4 for for ADP iajs-2474 165 5 ҳ ҳ PROPN iajs-2474 165 6 , , PUNCT iajs-2474 165 7 ṭȓ ṭȓ PRON iajs-2474 165 8 ⱥ ⱥ INTJ iajs-2474 165 9 , , PUNCT iajs-2474 165 10 ẛ ẛ NOUN iajs-2474 165 11 if if SCONJ iajs-2474 165 12 ҳ ҳ PROPN iajs-2474 165 13 is be AUX iajs-2474 165 14 a a DET iajs-2474 165 15 finite finite NOUN iajs-2474 165 16 set set NOUN iajs-2474 165 17 and and CCONJ iajs-2474 165 18 ƀ ƀ PRON iajs-2474 165 19 ⊆ ⊆ NUM iajs-2474 165 20 ҳ ҳ NOUN iajs-2474 165 21 ; ; PUNCT iajs-2474 165 22 ƀ ƀ PRON iajs-2474 165 23 is be AUX iajs-2474 165 24 an an DET iajs-2474 165 25 ňـẛpgـμclosed ňـẛpgـμclose VERB iajs-2474 165 26 set set NOUN iajs-2474 165 27 , , PUNCT iajs-2474 165 28 then then ADV iajs-2474 165 29 ƀ ƀ PROPN iajs-2474 165 30 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 165 31 ƀ ƀ PROPN iajs-2474 165 32 ∩ ∩ PROPN iajs-2474 165 33 w w NOUN iajs-2474 165 34 , , PUNCT iajs-2474 165 35 where where SCONJ iajs-2474 165 36 w w NOUN iajs-2474 165 37 is be AUX iajs-2474 165 38 ňـẛpgـclosedset ňـẛpgـclosedset NOUN iajs-2474 165 39 . . PUNCT iajs-2474 166 1 proof proof NOUN iajs-2474 166 2 : : PUNCT iajs-2474 166 3 since since SCONJ iajs-2474 166 4 ƀ ƀ PRON iajs-2474 166 5 is be AUX iajs-2474 166 6 ňـẛpgـμclosed ňـẛpgـμclose VERB iajs-2474 166 7 , , PUNCT iajs-2474 166 8 then then ADV iajs-2474 166 9 ƀ ƀ X iajs-2474 166 10 m m PROPN iajs-2474 166 11 ∩ ∩ ADJ iajs-2474 166 12 w w ADP iajs-2474 166 13 such such ADJ iajs-2474 166 14 that that SCONJ iajs-2474 166 15 m m PROPN iajs-2474 166 16 is be AUX iajs-2474 166 17 ňـẛpgδـset ňـẛpgδـset VERB iajs-2474 166 18 and and CCONJ iajs-2474 166 19 w w NOUN iajs-2474 166 20 is be AUX iajs-2474 166 21 a a DET iajs-2474 166 22 ňـẛpgـclosed ňـẛpgـclose VERB iajs-2474 166 23 set set NOUN iajs-2474 166 24 this this PRON iajs-2474 166 25 implies imply VERB iajs-2474 166 26 that that SCONJ iajs-2474 166 27 ƀ ƀ PROPN iajs-2474 166 28 ⊆ ⊆ NUM iajs-2474 166 29 m m NOUN iajs-2474 166 30 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 166 31 m m VERB iajs-2474 166 32 and and CCONJ iajs-2474 166 33 ƀ ƀ PRON iajs-2474 166 34 ⊆ ⊆ NUM iajs-2474 166 35 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 166 36 ƀ ƀ PRON iajs-2474 166 37 which which PRON iajs-2474 166 38 is be AUX iajs-2474 166 39 the the DET iajs-2474 166 40 smallest small ADJ iajs-2474 166 41 ňـẛpgـopen ňـẛpgـopen NOUN iajs-2474 166 42 set set NOUN iajs-2474 166 43 containing contain VERB iajs-2474 166 44 ƀ ƀ PROPN iajs-2474 166 45 . . PUNCT iajs-2474 167 1 so so ADV iajs-2474 167 2 ňـẛpgـker ňـẛpgـker VERB iajs-2474 167 3 ƀ ƀ PRON iajs-2474 167 4 ⊆ ⊆ NUM iajs-2474 167 5 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 167 6 m m VERB iajs-2474 167 7 and and CCONJ iajs-2474 167 8 ƀ ƀ PRON iajs-2474 167 9 m m PROPN iajs-2474 167 10 ∩ ∩ PROPN iajs-2474 167 11 w w ADP iajs-2474 167 12 there there ADV iajs-2474 167 13 for for ADP iajs-2474 167 14 ƀ ƀ PROPN iajs-2474 167 15 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 167 16 ƀ ƀ PROPN iajs-2474 167 17 ∩ ∩ PROPN iajs-2474 167 18 w w PROPN iajs-2474 167 19 , , PUNCT iajs-2474 167 20 since since SCONJ iajs-2474 167 21 ƀ ƀ X iajs-2474 167 22 ⊆ ⊆ NUM iajs-2474 167 23 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 167 24 ƀ ƀ X iajs-2474 167 25 and and CCONJ iajs-2474 167 26 m m PROPN iajs-2474 167 27 ⊆ ⊆ NUM iajs-2474 167 28 ňـẛpgـker ňـẛpgـker NOUN iajs-2474 167 29 m m NOUN iajs-2474 167 30 . . PUNCT iajs-2474 168 1 5 5 X iajs-2474 168 2 . . PUNCT iajs-2474 168 3 the the DET iajs-2474 168 4 application application NOUN iajs-2474 168 5 in in ADP iajs-2474 168 6 ňـẛ𝐩𝐠ـ𝐜𝐥𝐨𝐬𝐞𝐝 ňـẛ𝐩𝐠ـ𝐜𝐥𝐨𝐬𝐞𝐝 PROPN iajs-2474 168 7 𝐬𝐞𝐭. 𝐬𝐞𝐭. NUM iajs-2474 168 8 example example NOUN iajs-2474 168 9 5.1 5.1 NUM iajs-2474 168 10 . . PUNCT iajs-2474 169 1 tonsillitis tonsillitis NOUN iajs-2474 169 2 is be AUX iajs-2474 169 3 a a DET iajs-2474 169 4 common common ADJ iajs-2474 169 5 disease disease NOUN iajs-2474 169 6 in in ADP iajs-2474 169 7 children child NOUN iajs-2474 169 8 and and CCONJ iajs-2474 169 9 adults adult NOUN iajs-2474 169 10 . . PUNCT iajs-2474 170 1 people people NOUN iajs-2474 170 2 get get VERB iajs-2474 170 3 inflammation inflammation NOUN iajs-2474 170 4 that that SCONJ iajs-2474 170 5 causes cause VERB iajs-2474 170 6 them they PRON iajs-2474 170 7 difficulty difficulty NOUN iajs-2474 170 8 in in ADP iajs-2474 170 9 eating eat VERB iajs-2474 170 10 and and CCONJ iajs-2474 170 11 sometimes sometimes ADV iajs-2474 170 12 unable unable ADJ iajs-2474 170 13 to to PART iajs-2474 170 14 chew chew VERB iajs-2474 170 15 food food NOUN iajs-2474 170 16 . . PUNCT iajs-2474 171 1 also also ADV iajs-2474 171 2 , , PUNCT iajs-2474 171 3 you you PRON iajs-2474 171 4 may may AUX iajs-2474 171 5 experience experience VERB iajs-2474 171 6 a a DET iajs-2474 171 7 high high ADJ iajs-2474 171 8 temperature temperature NOUN iajs-2474 171 9 with with ADP iajs-2474 171 10 a a DET iajs-2474 171 11 change change NOUN iajs-2474 171 12 in in ADP iajs-2474 171 13 the the DET iajs-2474 171 14 body body NOUN iajs-2474 171 15 with with ADP iajs-2474 171 16 diarrhea diarrhea NOUN iajs-2474 171 17 and and CCONJ iajs-2474 171 18 joint joint ADJ iajs-2474 171 19 pain pain NOUN iajs-2474 171 20 if if SCONJ iajs-2474 171 21 the the DET iajs-2474 171 22 inflammation inflammation NOUN iajs-2474 171 23 is be AUX iajs-2474 171 24 very very ADV iajs-2474 171 25 strong strong ADJ iajs-2474 171 26 . . PUNCT iajs-2474 172 1 treatment treatment NOUN iajs-2474 172 2 lasts last VERB iajs-2474 172 3 one one NUM iajs-2474 172 4 to to ADP iajs-2474 172 5 two two NUM iajs-2474 172 6 weeks week NOUN iajs-2474 172 7 . . PUNCT iajs-2474 173 1 to to PART iajs-2474 173 2 detect detect VERB iajs-2474 173 3 the the DET iajs-2474 173 4 most most ADV iajs-2474 173 5 common common ADJ iajs-2474 173 6 symptoms symptom NOUN iajs-2474 173 7 of of ADP iajs-2474 173 8 tonsillitis tonsillitis PROPN iajs-2474 173 9 , , PUNCT iajs-2474 173 10 we we PRON iajs-2474 173 11 can can AUX iajs-2474 173 12 take take VERB iajs-2474 173 13 advantage advantage NOUN iajs-2474 173 14 of of ADP iajs-2474 173 15 the the DET iajs-2474 173 16 concept concept NOUN iajs-2474 173 17 of of ADP iajs-2474 173 18 nano nano NOUN iajs-2474 173 19 ẛpgـopen ẛpgـopen ADJ iajs-2474 173 20 set set NOUN iajs-2474 173 21 according accord VERB iajs-2474 173 22 to to ADP iajs-2474 173 23 the the DET iajs-2474 173 24 following follow VERB iajs-2474 173 25 table table NOUN iajs-2474 173 26 , , PUNCT iajs-2474 173 27 which which PRON iajs-2474 173 28 shows show VERB iajs-2474 173 29 the the DET iajs-2474 173 30 most most ADV iajs-2474 173 31 common common ADJ iajs-2474 173 32 symptoms symptom NOUN iajs-2474 173 33 that that PRON iajs-2474 173 34 may may AUX iajs-2474 173 35 be be AUX iajs-2474 173 36 associated associate VERB iajs-2474 173 37 with with ADP iajs-2474 173 38 tonsillitis tonsillitis PROPN iajs-2474 173 39 . . PUNCT iajs-2474 174 1 the the DET iajs-2474 174 2 following follow VERB iajs-2474 174 3 table table NOUN iajs-2474 174 4 gives give VERB iajs-2474 174 5 information information NOUN iajs-2474 174 6 about about ADP iajs-2474 174 7 four four NUM iajs-2474 174 8 patient patient ADJ iajs-2474 174 9 people people NOUN iajs-2474 174 10 ӿ ӿ VERB iajs-2474 174 11 , , PUNCT iajs-2474 174 12 ӿ ӿ X iajs-2474 174 13 , , PUNCT iajs-2474 174 14 ӿ ӿ X iajs-2474 174 15 , , PUNCT iajs-2474 174 16 ӿ ӿ PROPN iajs-2474 174 17 , , PUNCT iajs-2474 174 18 we we PRON iajs-2474 174 19 will will AUX iajs-2474 174 20 refer refer VERB iajs-2474 174 21 to to ADP iajs-2474 174 22 the the DET iajs-2474 174 23 symbol symbol NOUN iajs-2474 174 24 ¥ ¥ NOUN iajs-2474 174 25 if if SCONJ iajs-2474 174 26 the the DET iajs-2474 174 27 symptoms symptom NOUN iajs-2474 174 28 are be AUX iajs-2474 174 29 clear clear ADJ iajs-2474 174 30 to to ADP iajs-2474 174 31 the the DET iajs-2474 174 32 person person NOUN iajs-2474 174 33 and and CCONJ iajs-2474 174 34 indicate indicate VERB iajs-2474 174 35 the the DET iajs-2474 174 36 symbol symbol NOUN iajs-2474 174 37 ₦ ₦ NOUN iajs-2474 174 38 if if SCONJ iajs-2474 174 39 the the DET iajs-2474 174 40 symptoms symptom NOUN iajs-2474 174 41 do do AUX iajs-2474 174 42 not not PART iajs-2474 174 43 appear appear VERB iajs-2474 174 44 : : PUNCT iajs-2474 174 45 table table NOUN iajs-2474 174 46 5 5 NUM iajs-2474 174 47 . . PUNCT iajs-2474 174 48 information information NOUN iajs-2474 174 49 of of ADP iajs-2474 174 50 tonsillitis tonsillitis PROPN iajs-2474 174 51 . . PUNCT iajs-2474 175 1 patient patient ADJ iajs-2474 175 2 person person NOUN iajs-2474 175 3 temperature temperature NOUN iajs-2474 175 4 ( ( PUNCT iajs-2474 175 5 t t NOUN iajs-2474 175 6 ) ) PUNCT iajs-2474 175 7 emaciation emaciation NOUN iajs-2474 175 8 ( ( PUNCT iajs-2474 175 9 n n CCONJ iajs-2474 175 10 ) ) PUNCT iajs-2474 175 11 diarrhea diarrhea NOUN iajs-2474 175 12 ( ( PUNCT iajs-2474 175 13 d d NOUN iajs-2474 175 14 ) ) PUNCT iajs-2474 175 15 inability inability NOUN iajs-2474 175 16 to to ADP iajs-2474 175 17 swallow(i swallow(i NOUN iajs-2474 175 18 ) ) PUNCT iajs-2474 175 19 joint joint ADJ iajs-2474 175 20 pin pin NOUN iajs-2474 175 21 ( ( PUNCT iajs-2474 175 22 j j NOUN iajs-2474 175 23 ) ) PUNCT iajs-2474 175 24 tonsillitis tonsillitis PROPN iajs-2474 175 25 ( ( PUNCT iajs-2474 175 26 s s NOUN iajs-2474 175 27 ) ) PUNCT iajs-2474 175 28 ӿ ӿ VERB iajs-2474 175 29 high high ADJ iajs-2474 175 30 ¥ ¥ NUM iajs-2474 176 1 ¥ ¥ NUM iajs-2474 176 2 ¥ ¥ NUM iajs-2474 177 1 ¥ ¥ PUNCT iajs-2474 177 2 ¥ ¥ NOUN iajs-2474 177 3 ӿ ӿ VERB iajs-2474 177 4 very very ADV iajs-2474 177 5 high high ADJ iajs-2474 177 6 ¥ ¥ NUM iajs-2474 177 7 ₦ ₦ ADP iajs-2474 177 8 ¥ ¥ SYM iajs-2474 177 9 ₦ ₦ NOUN iajs-2474 177 10 ¥ ¥ NOUN iajs-2474 177 11 ӿ ӿ VERB iajs-2474 177 12 high high ADJ iajs-2474 177 13 ¥ ¥ X iajs-2474 177 14 ₦ ₦ X iajs-2474 177 15 ₦ ₦ X iajs-2474 177 16 ₦ ₦ X iajs-2474 177 17 ₦ ₦ X iajs-2474 177 18 ӿ ӿ VERB iajs-2474 177 19 normal normal ADJ iajs-2474 177 20 ¥ ¥ NUM iajs-2474 177 21 ₦ ₦ X iajs-2474 177 22 ₦ ₦ X iajs-2474 177 23 ₦ ₦ X iajs-2474 177 24 ₦ ₦ X iajs-2474 177 25     SPACE iajs-2474 177 26 77 77 NUM iajs-2474 177 27 ibn ibn PROPN iajs-2474 177 28 al al PROPN iajs-2474 177 29 - - PUNCT iajs-2474 177 30 haitham haitham PROPN iajs-2474 177 31 jour jour X iajs-2474 177 32 . . PROPN iajs-2474 178 1 for for ADP iajs-2474 178 2 pure pure ADJ iajs-2474 178 3 & & CCONJ iajs-2474 178 4 appl appl PROPN iajs-2474 178 5 . . PUNCT iajs-2474 179 1 sci sci PROPN iajs-2474 179 2 . . PROPN iajs-2474 180 1 33 33 NUM iajs-2474 180 2 ( ( PUNCT iajs-2474 180 3 3 3 NUM iajs-2474 180 4 ) ) PUNCT iajs-2474 180 5 2020 2020 NUM iajs-2474 180 6 let let VERB iajs-2474 180 7 ҳ ҳ PROPN iajs-2474 180 8 ӿ ӿ VERB iajs-2474 180 9 , , PUNCT iajs-2474 180 10 ӿ ӿ X iajs-2474 180 11 , , PUNCT iajs-2474 180 12 ӿ ӿ X iajs-2474 180 13 , , PUNCT iajs-2474 180 14 ӿ ӿ X iajs-2474 180 15 be be AUX iajs-2474 180 16 the the DET iajs-2474 180 17 set set NOUN iajs-2474 180 18 of of ADP iajs-2474 180 19 patient patient ADJ iajs-2474 180 20 person person NOUN iajs-2474 180 21 with with ADP iajs-2474 180 22 tonsillitis tonsillitis PROPN iajs-2474 180 23 , , PUNCT iajs-2474 180 24 let let VERB iajs-2474 180 25 a a DET iajs-2474 180 26 ӿ ӿ NOUN iajs-2474 180 27 , , PUNCT iajs-2474 180 28 ӿ ӿ PROPN iajs-2474 180 29 and and CCONJ iajs-2474 180 30 ȓ ȓ PRON iajs-2474 180 31 be be AUX iajs-2474 180 32 the the DET iajs-2474 180 33 equivalence equivalence NOUN iajs-2474 180 34 relation relation NOUN iajs-2474 180 35 on on ADP iajs-2474 180 36 ҳ ҳ NOUN iajs-2474 180 37 , , PUNCT iajs-2474 180 38 such such ADJ iajs-2474 180 39 that that SCONJ iajs-2474 180 40 ȓ ȓ PRON iajs-2474 180 41 ӿ ӿ X iajs-2474 180 42 , , PUNCT iajs-2474 180 43 ӿ ӿ X iajs-2474 180 44 : : PUNCT iajs-2474 180 45 ӿ ӿ X iajs-2474 180 46 , , PUNCT iajs-2474 180 47 ӿ ӿ X iajs-2474 180 48 have have VERB iajs-2474 180 49 the the DET iajs-2474 180 50 same same ADJ iajs-2474 180 51 appear appear VERB iajs-2474 180 52 symptoms}.then symptoms}.then NOUN iajs-2474 180 53 the the DET iajs-2474 180 54 set set NOUN iajs-2474 180 55 of of ADP iajs-2474 180 56 equivalence equivalence NOUN iajs-2474 180 57 classes class NOUN iajs-2474 180 58 corresponding correspond VERB iajs-2474 180 59 to to ADP iajs-2474 180 60 r r NOUN iajs-2474 180 61 is be AUX iajs-2474 180 62 given give VERB iajs-2474 180 63 by by ADP iajs-2474 180 64 ҳ ҳ PROPN iajs-2474 180 65 /ȓ /ȓ PUNCT iajs-2474 181 1 ӿ ӿ PART iajs-2474 181 2 , , PUNCT iajs-2474 181 3 ӿ ӿ X iajs-2474 181 4 , , PUNCT iajs-2474 181 5 ӿ ӿ X iajs-2474 181 6 , , PUNCT iajs-2474 181 7 ӿ ӿ X iajs-2474 181 8 , , PUNCT iajs-2474 181 9 ṭȓ ṭȓ PRON iajs-2474 181 10 ⱥ ⱥ PROPN iajs-2474 181 11 ҳ ҳ NOUN iajs-2474 181 12 , , PUNCT iajs-2474 181 13 ∅ ∅ NOUN iajs-2474 181 14 , , PUNCT iajs-2474 181 15 ӿ ӿ X iajs-2474 181 16 , , PUNCT iajs-2474 181 17 ӿ ӿ PROPN iajs-2474 181 18 , , PUNCT iajs-2474 181 19 ẛ ẛ NOUN iajs-2474 181 20 ∅ ∅ NOUN iajs-2474 181 21 , , PUNCT iajs-2474 181 22 ӿ ӿ X iajs-2474 181 23 . . PUNCT iajs-2474 182 1 ňpo ňpo ADP iajs-2474 182 2 ҳ ҳ NOUN iajs-2474 182 3 = = SYM iajs-2474 182 4 ҳ ҳ PROPN iajs-2474 182 5 , , PUNCT iajs-2474 182 6 ∅ ∅ NOUN iajs-2474 182 7 , , PUNCT iajs-2474 182 8 ӿ ӿ X iajs-2474 182 9 , , PUNCT iajs-2474 182 10 ӿ ӿ X iajs-2474 182 11 , , PUNCT iajs-2474 182 12 ӿ ӿ X iajs-2474 182 13 , , PUNCT iajs-2474 182 14 ӿ ӿ X iajs-2474 182 15 , , PUNCT iajs-2474 182 16 ӿ ӿ X iajs-2474 182 17 , , PUNCT iajs-2474 182 18 ӿ ӿ X iajs-2474 182 19 , , PUNCT iajs-2474 182 20 ӿ ӿ X iajs-2474 182 21 , , PUNCT iajs-2474 182 22 ӿ ӿ X iajs-2474 182 23 , , PUNCT iajs-2474 182 24 ӿ ӿ X iajs-2474 182 25 , , PUNCT iajs-2474 182 26 ӿ ӿ X iajs-2474 182 27 , , PUNCT iajs-2474 182 28 ӿ ӿ X iajs-2474 182 29 , , PUNCT iajs-2474 182 30 ӿ ӿ X iajs-2474 182 31 , , PUNCT iajs-2474 182 32 ӿ ӿ X iajs-2474 182 33 , , PUNCT iajs-2474 182 34 ӿ ӿ X iajs-2474 182 35 , , PUNCT iajs-2474 182 36 ӿ ӿ X iajs-2474 182 37 , , PUNCT iajs-2474 182 38 ӿ ӿ X iajs-2474 182 39 , , PUNCT iajs-2474 182 40 ӿ ӿ X iajs-2474 182 41 , , PUNCT iajs-2474 182 42 ӿ ӿ X iajs-2474 182 43 , , PUNCT iajs-2474 182 44 ӿ ӿ X iajs-2474 182 45 , , PUNCT iajs-2474 182 46 ӿ ӿ X iajs-2474 182 47 , , PUNCT iajs-2474 182 48 ӿ ӿ X iajs-2474 182 49 , , PUNCT iajs-2474 182 50 ӿ ӿ X iajs-2474 182 51 , , PUNCT iajs-2474 182 52 ӿ ӿ X iajs-2474 182 53 , , PUNCT iajs-2474 182 54 ӿ ӿ X iajs-2474 182 55 , , PUNCT iajs-2474 182 56 ňẛpgc ňẛpgc VERB iajs-2474 182 57 ҳ ҳ SYM iajs-2474 182 58 ҳ ҳ PROPN iajs-2474 182 59 , , PUNCT iajs-2474 182 60 ∅ ∅ NOUN iajs-2474 182 61 , , PUNCT iajs-2474 182 62 ӿ ӿ X iajs-2474 182 63 , , PUNCT iajs-2474 182 64 ӿ ӿ X iajs-2474 182 65 , , PUNCT iajs-2474 182 66 ӿ ӿ X iajs-2474 182 67 , , PUNCT iajs-2474 182 68 ӿ ӿ X iajs-2474 182 69 , , PUNCT iajs-2474 182 70 ӿ ӿ X iajs-2474 182 71 , , PUNCT iajs-2474 182 72 ӿ ӿ X iajs-2474 182 73 , , PUNCT iajs-2474 182 74 ňẛpgo ňẛpgo PROPN iajs-2474 182 75 ҳ ҳ SYM iajs-2474 182 76 ҳ ҳ PROPN iajs-2474 182 77 , , PUNCT iajs-2474 182 78 ∅ ∅ NOUN iajs-2474 182 79 , , PUNCT iajs-2474 182 80 ӿ ӿ X iajs-2474 182 81 , , PUNCT iajs-2474 182 82 ӿ ӿ X iajs-2474 182 83 , , PUNCT iajs-2474 182 84 ӿ ӿ X iajs-2474 182 85 , , PUNCT iajs-2474 182 86 ӿ ӿ X iajs-2474 182 87 , , PUNCT iajs-2474 182 88 ӿ ӿ X iajs-2474 182 89 , , PUNCT iajs-2474 182 90 ӿ ӿ X iajs-2474 182 91 if if SCONJ iajs-2474 182 92 we we PRON iajs-2474 182 93 delete delete VERB iajs-2474 182 94 ( ( PUNCT iajs-2474 182 95 temperature(t temperature(t PROPN iajs-2474 182 96 ) ) PUNCT iajs-2474 182 97 ) ) PUNCT iajs-2474 182 98 , , PUNCT iajs-2474 182 99 then then ADV iajs-2474 182 100 we we PRON iajs-2474 182 101 get get VERB iajs-2474 182 102 ҳ ҳ NOUN iajs-2474 182 103 /ȓ /ȓ PUNCT iajs-2474 182 104 t t PROPN iajs-2474 182 105 = = SYM iajs-2474 182 106 ӿ ӿ PROPN iajs-2474 182 107 , , PUNCT iajs-2474 182 108 ӿ ӿ X iajs-2474 182 109 , , PUNCT iajs-2474 182 110 ӿ ӿ X iajs-2474 182 111 , , PUNCT iajs-2474 182 112 ӿ ӿ X iajs-2474 182 113 . . PUNCT iajs-2474 183 1 hence hence ADV iajs-2474 183 2 ṭȓ ṭȓ PRON iajs-2474 183 3 ⱥ ⱥ X iajs-2474 183 4 ҳ ҳ NOUN iajs-2474 183 5 , , PUNCT iajs-2474 183 6 ∅ ∅ NOUN iajs-2474 183 7 , , PUNCT iajs-2474 183 8 ӿ ӿ X iajs-2474 183 9 , , PUNCT iajs-2474 183 10 ӿ ӿ X iajs-2474 183 11 , , PUNCT iajs-2474 183 12 ӿ ӿ X iajs-2474 183 13 , , PUNCT iajs-2474 183 14 ӿ ӿ X iajs-2474 183 15 , , PUNCT iajs-2474 183 16 ӿ ӿ X iajs-2474 183 17 , , PUNCT iajs-2474 183 18 ӿ ӿ X iajs-2474 183 19 . . PUNCT iajs-2474 184 1 ňpo ňpo ADP iajs-2474 184 2 ҳ ҳ NOUN iajs-2474 184 3 = = SYM iajs-2474 184 4 ҳ ҳ PROPN iajs-2474 184 5 , , PUNCT iajs-2474 184 6 ∅ ∅ NOUN iajs-2474 184 7 , , PUNCT iajs-2474 184 8 ӿ ӿ X iajs-2474 184 9 , , PUNCT iajs-2474 184 10 ӿ ӿ X iajs-2474 184 11 , , PUNCT iajs-2474 184 12 ӿ ӿ X iajs-2474 184 13 , , PUNCT iajs-2474 184 14 ӿ ӿ X iajs-2474 184 15 , , PUNCT iajs-2474 184 16 ӿ ӿ X iajs-2474 184 17 , , PUNCT iajs-2474 184 18 ӿ ӿ X iajs-2474 184 19 , , PUNCT iajs-2474 184 20 ӿ ӿ X iajs-2474 184 21 , , PUNCT iajs-2474 184 22 ӿ ӿ X iajs-2474 184 23 , , PUNCT iajs-2474 184 24 ӿ ӿ X iajs-2474 184 25 , , PUNCT iajs-2474 184 26 ӿ ӿ X iajs-2474 184 27 , , PUNCT iajs-2474 184 28 ӿ ӿ X iajs-2474 184 29 , , PUNCT iajs-2474 184 30 ӿ ӿ X iajs-2474 184 31 , , PUNCT iajs-2474 184 32 ӿ ӿ X iajs-2474 184 33 , , PUNCT iajs-2474 184 34 ӿ ӿ X iajs-2474 184 35 , , PUNCT iajs-2474 184 36 ӿ ӿ X iajs-2474 184 37 , , PUNCT iajs-2474 184 38 ӿ ӿ X iajs-2474 184 39 , , PUNCT iajs-2474 184 40 ӿ ӿ X iajs-2474 184 41 , , PUNCT iajs-2474 184 42 ӿ ӿ X iajs-2474 184 43 , , PUNCT iajs-2474 184 44 ӿ ӿ X iajs-2474 184 45 , , PUNCT iajs-2474 184 46 ӿ ӿ X iajs-2474 184 47 , , PUNCT iajs-2474 184 48 . . PUNCT iajs-2474 185 1 ňẛpgc ňẛpgc PROPN iajs-2474 185 2 ҳ ҳ NOUN iajs-2474 185 3 = = SYM iajs-2474 185 4 ҳ ҳ PROPN iajs-2474 185 5 , , PUNCT iajs-2474 185 6 ∅ ∅ NOUN iajs-2474 185 7 , , PUNCT iajs-2474 185 8 ӿ ӿ X iajs-2474 185 9 , , PUNCT iajs-2474 185 10 ӿ ӿ X iajs-2474 185 11 , , PUNCT iajs-2474 185 12 ӿ ӿ X iajs-2474 185 13 , , PUNCT iajs-2474 185 14 ӿ ӿ X iajs-2474 185 15 , , PUNCT iajs-2474 185 16 ӿ ӿ X iajs-2474 185 17 , , PUNCT iajs-2474 185 18 ӿ ӿ X iajs-2474 185 19 , , PUNCT iajs-2474 185 20 ӿ ӿ X iajs-2474 185 21 , , PUNCT iajs-2474 185 22 ӿ ӿ X iajs-2474 185 23 , , PUNCT iajs-2474 185 24 ӿ ӿ X iajs-2474 185 25 , , PUNCT iajs-2474 185 26 ӿ ӿ X iajs-2474 185 27 , , PUNCT iajs-2474 185 28 ӿ ӿ X iajs-2474 185 29 , , PUNCT iajs-2474 185 30 ӿ ӿ PROPN iajs-2474 185 31 . . PUNCT iajs-2474 186 1 ňẛpgo ňẛpgo PROPN iajs-2474 186 2 ҳ ҳ NOUN iajs-2474 186 3 = = SYM iajs-2474 186 4 { { PUNCT iajs-2474 186 5 ҳ ҳ NOUN iajs-2474 186 6 , , PUNCT iajs-2474 186 7 ∅ ∅ NOUN iajs-2474 186 8 , , PUNCT iajs-2474 186 9 ӿ ӿ X iajs-2474 186 10 , , PUNCT iajs-2474 186 11 ӿ ӿ X iajs-2474 186 12 , , PUNCT iajs-2474 186 13 ӿ ӿ X iajs-2474 186 14 , , PUNCT iajs-2474 186 15 ӿ ӿ X iajs-2474 186 16 , , PUNCT iajs-2474 186 17 ӿ ӿ X iajs-2474 186 18 , , PUNCT iajs-2474 186 19 ӿ ӿ X iajs-2474 186 20 , , PUNCT iajs-2474 186 21 ӿ ӿ X iajs-2474 186 22 , , PUNCT iajs-2474 186 23 ӿ ӿ X iajs-2474 186 24 , , PUNCT iajs-2474 186 25 ӿ ӿ X iajs-2474 186 26 , , PUNCT iajs-2474 186 27 ӿ ӿ X iajs-2474 186 28 , , PUNCT iajs-2474 186 29 ӿ ӿ X iajs-2474 186 30 , , PUNCT iajs-2474 186 31 ӿ ӿ X iajs-2474 186 32 . . PUNCT iajs-2474 187 1 if if SCONJ iajs-2474 187 2 we we PRON iajs-2474 187 3 delete delete VERB iajs-2474 187 4 ( ( PUNCT iajs-2474 187 5 joint joint ADJ iajs-2474 187 6 pain pain NOUN iajs-2474 187 7 ( ( PUNCT iajs-2474 187 8 j j NOUN iajs-2474 187 9 ) ) PUNCT iajs-2474 187 10 ) ) PUNCT iajs-2474 187 11 , , PUNCT iajs-2474 187 12 then then ADV iajs-2474 187 13 we we PRON iajs-2474 187 14 get get VERB iajs-2474 187 15 ҳ ҳ NOUN iajs-2474 187 16 /ȓ /ȓ PUNCT iajs-2474 187 17 j j PROPN iajs-2474 187 18 ӿ ӿ PROPN iajs-2474 187 19 , , PUNCT iajs-2474 187 20 ӿ ӿ X iajs-2474 187 21 , , PUNCT iajs-2474 187 22 ӿ ӿ X iajs-2474 187 23 , , PUNCT iajs-2474 187 24 ӿ ӿ X iajs-2474 187 25 . . PUNCT iajs-2474 188 1 hence hence ADV iajs-2474 188 2 ṭȓ ṭȓ PRON iajs-2474 188 3 ⱥ ⱥ X iajs-2474 188 4 ҳ ҳ NOUN iajs-2474 188 5 , , PUNCT iajs-2474 188 6 ∅ ∅ NOUN iajs-2474 188 7 , , PUNCT iajs-2474 188 8 ӿ ӿ X iajs-2474 188 9 , , PUNCT iajs-2474 188 10 ӿ ӿ X iajs-2474 188 11 ṭȓ ṭȓ INTJ iajs-2474 188 12 ⱥ ⱥ X iajs-2474 188 13 . . PUNCT iajs-2474 189 1 ňpo ňpo ADP iajs-2474 189 2 ҳ ҳ NOUN iajs-2474 189 3 = = SYM iajs-2474 189 4 ҳ ҳ PROPN iajs-2474 189 5 , , PUNCT iajs-2474 189 6 ∅ ∅ NOUN iajs-2474 189 7 , , PUNCT iajs-2474 189 8 ӿ ӿ X iajs-2474 189 9 , , PUNCT iajs-2474 189 10 ӿ ӿ X iajs-2474 189 11 , , PUNCT iajs-2474 189 12 ӿ ӿ X iajs-2474 189 13 , , PUNCT iajs-2474 189 14 ӿ ӿ X iajs-2474 189 15 , , PUNCT iajs-2474 189 16 ӿ ӿ X iajs-2474 189 17 , , PUNCT iajs-2474 189 18 ӿ ӿ X iajs-2474 189 19 , , PUNCT iajs-2474 189 20 ӿ ӿ X iajs-2474 189 21 , , PUNCT iajs-2474 189 22 ӿ ӿ X iajs-2474 189 23 , , PUNCT iajs-2474 189 24 ӿ ӿ X iajs-2474 189 25 , , PUNCT iajs-2474 189 26 ӿ ӿ X iajs-2474 189 27 , , PUNCT iajs-2474 189 28 ӿ ӿ X iajs-2474 189 29 , , PUNCT iajs-2474 189 30 ӿ ӿ X iajs-2474 189 31 , , PUNCT iajs-2474 189 32 ӿ ӿ X iajs-2474 189 33 , , PUNCT iajs-2474 189 34 ӿ ӿ X iajs-2474 189 35 , , PUNCT iajs-2474 189 36 ӿ ӿ X iajs-2474 189 37 , , PUNCT iajs-2474 189 38 ӿ ӿ X iajs-2474 189 39 , , PUNCT iajs-2474 189 40 ӿ ӿ X iajs-2474 189 41 , , PUNCT iajs-2474 189 42 ӿ ӿ X iajs-2474 189 43 , , PUNCT iajs-2474 189 44 ӿ ӿ X iajs-2474 189 45 , , PUNCT iajs-2474 189 46 ӿ ӿ X iajs-2474 189 47 , , PUNCT iajs-2474 189 48 ӿ ӿ X iajs-2474 189 49 , , PUNCT iajs-2474 189 50 ӿ ӿ X iajs-2474 189 51 , , PUNCT iajs-2474 189 52 ӿ ӿ X iajs-2474 189 53 , , PUNCT iajs-2474 189 54 ӿ ӿ X iajs-2474 189 55 , , PUNCT iajs-2474 189 56 ňẛpgc ňẛpgc ADJ iajs-2474 189 57 ҳ ҳ NOUN iajs-2474 189 58 = = SYM iajs-2474 189 59 ҳ ҳ PROPN iajs-2474 189 60 , , PUNCT iajs-2474 189 61 ∅ ∅ NOUN iajs-2474 189 62 , , PUNCT iajs-2474 189 63 ӿ ӿ X iajs-2474 189 64 , , PUNCT iajs-2474 189 65 ӿ ӿ X iajs-2474 189 66 , , PUNCT iajs-2474 189 67 ӿ ӿ X iajs-2474 189 68 , , PUNCT iajs-2474 189 69 ӿ ӿ X iajs-2474 189 70 , , PUNCT iajs-2474 189 71 ӿ ӿ X iajs-2474 189 72 , , PUNCT iajs-2474 189 73 ӿ ӿ X iajs-2474 189 74 , , PUNCT iajs-2474 189 75 ňẛpgo ňẛpgo PROPN iajs-2474 189 76 ҳ ҳ SYM iajs-2474 189 77 ҳ ҳ PROPN iajs-2474 189 78 , , PUNCT iajs-2474 189 79 ∅ ∅ NOUN iajs-2474 189 80 , , PUNCT iajs-2474 189 81 ӿ ӿ X iajs-2474 189 82 , , PUNCT iajs-2474 189 83 ӿ ӿ X iajs-2474 189 84 , , PUNCT iajs-2474 189 85 ӿ ӿ X iajs-2474 189 86 , , PUNCT iajs-2474 189 87 ӿ ӿ X iajs-2474 189 88 , , PUNCT iajs-2474 189 89 ӿ ӿ X iajs-2474 189 90 , , PUNCT iajs-2474 189 91 ӿ ӿ X iajs-2474 189 92 . . PUNCT iajs-2474 190 1 if if SCONJ iajs-2474 190 2 we we PRON iajs-2474 190 3 delete delete VERB iajs-2474 190 4 ( ( PUNCT iajs-2474 190 5 diarrhea diarrhea NOUN iajs-2474 190 6 ( ( PUNCT iajs-2474 190 7 d d NOUN iajs-2474 190 8 ) ) PUNCT iajs-2474 190 9 ) ) PUNCT iajs-2474 190 10 , , PUNCT iajs-2474 190 11 then then ADV iajs-2474 190 12 we we PRON iajs-2474 190 13 get get VERB iajs-2474 190 14 ҳ ҳ NOUN iajs-2474 190 15 /ȓ /ȓ PUNCT iajs-2474 191 1 d d X iajs-2474 191 2 ӿ ӿ PROPN iajs-2474 191 3 , , PUNCT iajs-2474 191 4 ӿ ӿ X iajs-2474 191 5 , , PUNCT iajs-2474 191 6 ӿ ӿ X iajs-2474 191 7 , , PUNCT iajs-2474 191 8 ӿ ӿ PROPN iajs-2474 191 9 and and CCONJ iajs-2474 191 10 hence hence ADV iajs-2474 191 11 ṭȓ ṭȓ ADP iajs-2474 191 12 ⱥ ⱥ X iajs-2474 191 13 = = SYM iajs-2474 191 14 ҳ ҳ PROPN iajs-2474 191 15 , , PUNCT iajs-2474 191 16 ∅ ∅ NOUN iajs-2474 191 17 , , PUNCT iajs-2474 191 18 ӿ ӿ X iajs-2474 191 19 , , PUNCT iajs-2474 191 20 ӿ ӿ X iajs-2474 191 21 ṭȓ ṭȓ INTJ iajs-2474 191 22 ⱥ ⱥ X iajs-2474 191 23 . . PUNCT iajs-2474 192 1 ňpo ňpo ADP iajs-2474 192 2 ҳ ҳ NOUN iajs-2474 192 3 = = SYM iajs-2474 192 4 ҳ ҳ PROPN iajs-2474 192 5 , , PUNCT iajs-2474 192 6 ∅ ∅ NOUN iajs-2474 192 7 , , PUNCT iajs-2474 192 8 ӿ ӿ X iajs-2474 192 9 , , PUNCT iajs-2474 192 10 ӿ ӿ X iajs-2474 192 11 , , PUNCT iajs-2474 192 12 ӿ ӿ X iajs-2474 192 13 , , PUNCT iajs-2474 192 14 ӿ ӿ X iajs-2474 192 15 , , PUNCT iajs-2474 192 16 ӿ ӿ X iajs-2474 192 17 , , PUNCT iajs-2474 192 18 ӿ ӿ X iajs-2474 192 19 , , PUNCT iajs-2474 192 20 ӿ ӿ X iajs-2474 192 21 , , PUNCT iajs-2474 192 22 ӿ ӿ X iajs-2474 192 23 , , PUNCT iajs-2474 192 24 ӿ ӿ X iajs-2474 192 25 , , PUNCT iajs-2474 192 26 ӿ ӿ X iajs-2474 192 27 , , PUNCT iajs-2474 192 28 ӿ ӿ X iajs-2474 192 29 , , PUNCT iajs-2474 192 30 ӿ ӿ X iajs-2474 192 31 , , PUNCT iajs-2474 192 32 ӿ ӿ X iajs-2474 192 33 , , PUNCT iajs-2474 192 34 ӿ ӿ X iajs-2474 192 35 , , PUNCT iajs-2474 192 36 ӿ ӿ X iajs-2474 192 37 , , PUNCT iajs-2474 192 38 ӿ ӿ X iajs-2474 192 39 , , PUNCT iajs-2474 192 40 ӿ ӿ X iajs-2474 192 41 , , PUNCT iajs-2474 192 42 ӿ ӿ X iajs-2474 192 43 , , PUNCT iajs-2474 192 44 ӿ ӿ X iajs-2474 192 45 , , PUNCT iajs-2474 192 46 ӿ ӿ X iajs-2474 192 47 , , PUNCT iajs-2474 192 48 ӿ ӿ X iajs-2474 192 49 , , PUNCT iajs-2474 192 50 ӿ ӿ X iajs-2474 192 51 , , PUNCT iajs-2474 192 52 ӿ ӿ X iajs-2474 192 53 , , PUNCT iajs-2474 192 54 ӿ ӿ X iajs-2474 192 55 , , PUNCT iajs-2474 192 56 ňẛpgc ňẛpgc ADJ iajs-2474 192 57 ҳ ҳ NOUN iajs-2474 192 58 = = SYM iajs-2474 192 59 ҳ ҳ PROPN iajs-2474 192 60 , , PUNCT iajs-2474 192 61 ∅ ∅ NOUN iajs-2474 192 62 , , PUNCT iajs-2474 192 63 ӿ ӿ X iajs-2474 192 64 , , PUNCT iajs-2474 192 65 ӿ ӿ X iajs-2474 192 66 , , PUNCT iajs-2474 192 67 ӿ ӿ X iajs-2474 192 68 , , PUNCT iajs-2474 192 69 ӿ ӿ X iajs-2474 192 70 , , PUNCT iajs-2474 192 71 ӿ ӿ X iajs-2474 192 72 , , PUNCT iajs-2474 192 73 ӿ ӿ X iajs-2474 192 74 , , PUNCT iajs-2474 192 75 ňẛpgo ňẛpgo PROPN iajs-2474 192 76 ҳ ҳ SYM iajs-2474 192 77 ҳ ҳ PROPN iajs-2474 192 78 , , PUNCT iajs-2474 192 79 ∅ ∅ NOUN iajs-2474 192 80 , , PUNCT iajs-2474 192 81 ӿ ӿ X iajs-2474 192 82 , , PUNCT iajs-2474 192 83 ӿ ӿ X iajs-2474 192 84 , , PUNCT iajs-2474 192 85 ӿ ӿ X iajs-2474 192 86 , , PUNCT iajs-2474 192 87 ӿ ӿ X iajs-2474 192 88 , , PUNCT iajs-2474 192 89 ӿ ӿ X iajs-2474 192 90 , , PUNCT iajs-2474 192 91 ӿ ӿ X iajs-2474 192 92 if if SCONJ iajs-2474 192 93 we we PRON iajs-2474 192 94 delete delete VERB iajs-2474 192 95 ( ( PUNCT iajs-2474 192 96 inability inability NOUN iajs-2474 192 97 to to PART iajs-2474 192 98 swallow swallow VERB iajs-2474 192 99 ( ( PUNCT iajs-2474 192 100 i i NOUN iajs-2474 192 101 ) ) PUNCT iajs-2474 192 102 ) ) PUNCT iajs-2474 192 103 , , PUNCT iajs-2474 192 104 then then ADV iajs-2474 192 105 we we PRON iajs-2474 192 106 get get VERB iajs-2474 192 107 ҳ ҳ NOUN iajs-2474 192 108 /ȓ /ȓ PUNCT iajs-2474 193 1 i i PRON iajs-2474 193 2 ӿ ӿ VERB iajs-2474 193 3 , , PUNCT iajs-2474 193 4 ӿ ӿ X iajs-2474 193 5 , , PUNCT iajs-2474 193 6 ӿ ӿ X iajs-2474 193 7 , , PUNCT iajs-2474 193 8 ӿ ӿ X iajs-2474 193 9 . . PUNCT iajs-2474 194 1 hence hence ADV iajs-2474 194 2 ṭȓ ṭȓ PRON iajs-2474 194 3 ⱥ ⱥ X iajs-2474 194 4 ҳ ҳ NOUN iajs-2474 194 5 , , PUNCT iajs-2474 194 6 ∅ ∅ NOUN iajs-2474 194 7 , , PUNCT iajs-2474 194 8 ӿ ӿ X iajs-2474 194 9 , , PUNCT iajs-2474 194 10 ӿ ӿ X iajs-2474 194 11 , , PUNCT iajs-2474 194 12 ӿ ӿ X iajs-2474 194 13 , , PUNCT iajs-2474 194 14 ӿ ӿ X iajs-2474 194 15 , , PUNCT iajs-2474 194 16 ӿ ӿ X iajs-2474 194 17 , , PUNCT iajs-2474 194 18 ӿ ӿ X iajs-2474 194 19 , , PUNCT iajs-2474 194 20 ňpo ňpo ADP iajs-2474 194 21 ҳ ҳ NOUN iajs-2474 194 22 = = SYM iajs-2474 194 23 ҳ ҳ PROPN iajs-2474 194 24 , , PUNCT iajs-2474 194 25 ∅ ∅ NOUN iajs-2474 194 26 , , PUNCT iajs-2474 194 27 ӿ ӿ X iajs-2474 194 28 , , PUNCT iajs-2474 194 29 ӿ ӿ X iajs-2474 194 30 , , PUNCT iajs-2474 194 31 ӿ ӿ X iajs-2474 194 32 , , PUNCT iajs-2474 194 33 ӿ ӿ X iajs-2474 194 34 , , PUNCT iajs-2474 194 35 ӿ ӿ X iajs-2474 194 36 , , PUNCT iajs-2474 194 37 ӿ ӿ X iajs-2474 194 38 , , PUNCT iajs-2474 194 39 ӿ ӿ X iajs-2474 194 40 , , PUNCT iajs-2474 194 41 ӿ ӿ X iajs-2474 194 42 , , PUNCT iajs-2474 194 43 ӿ ӿ X iajs-2474 194 44 , , PUNCT iajs-2474 194 45 ӿ ӿ X iajs-2474 194 46 , , PUNCT iajs-2474 194 47 ӿ ӿ X iajs-2474 194 48 , , PUNCT iajs-2474 194 49 ӿ ӿ X iajs-2474 194 50 , , PUNCT iajs-2474 194 51 ӿ ӿ X iajs-2474 194 52 , , PUNCT iajs-2474 194 53 ӿ ӿ X iajs-2474 194 54 , , PUNCT iajs-2474 194 55 ӿ ӿ X iajs-2474 194 56 , , PUNCT iajs-2474 194 57 ӿ ӿ X iajs-2474 194 58 , , PUNCT iajs-2474 194 59 ӿ ӿ X iajs-2474 194 60 , , PUNCT iajs-2474 194 61 ӿ ӿ X iajs-2474 194 62 . . PUNCT iajs-2474 195 1 ňẛpgc ňẛpgc PROPN iajs-2474 195 2 ҳ ҳ NOUN iajs-2474 195 3 = = SYM iajs-2474 195 4 ҳ ҳ PROPN iajs-2474 195 5 , , PUNCT iajs-2474 195 6 ∅ ∅ NOUN iajs-2474 195 7 , , PUNCT iajs-2474 195 8 ӿ ӿ X iajs-2474 195 9 , , PUNCT iajs-2474 195 10 ӿ ӿ X iajs-2474 195 11 , , PUNCT iajs-2474 195 12 ӿ ӿ X iajs-2474 195 13 , , PUNCT iajs-2474 195 14 ӿ ӿ X iajs-2474 195 15 , , PUNCT iajs-2474 195 16 ӿ ӿ X iajs-2474 195 17 , , PUNCT iajs-2474 195 18 ӿ ӿ X iajs-2474 195 19 , , PUNCT iajs-2474 195 20 ӿ ӿ X iajs-2474 195 21 , , PUNCT iajs-2474 195 22 ӿ ӿ X iajs-2474 195 23 , , PUNCT iajs-2474 195 24 ӿ ӿ X iajs-2474 195 25 , , PUNCT iajs-2474 195 26 ӿ ӿ X iajs-2474 195 27 , , PUNCT iajs-2474 195 28 ӿ ӿ X iajs-2474 195 29 , , PUNCT iajs-2474 195 30 ӿ ӿ PROPN iajs-2474 195 31 . . PUNCT iajs-2474 196 1 ňẛpgo ňẛpgo PROPN iajs-2474 196 2 ҳ ҳ NOUN iajs-2474 196 3 = = SYM iajs-2474 196 4 ҳ ҳ PROPN iajs-2474 196 5 , , PUNCT iajs-2474 196 6 ∅ ∅ NOUN iajs-2474 196 7 , , PUNCT iajs-2474 196 8 ӿ ӿ X iajs-2474 196 9 , , PUNCT iajs-2474 196 10 ӿ ӿ X iajs-2474 196 11 , , PUNCT iajs-2474 196 12 ӿ ӿ X iajs-2474 196 13 , , PUNCT iajs-2474 196 14 ӿ ӿ X iajs-2474 196 15 , , PUNCT iajs-2474 196 16 ӿ ӿ X iajs-2474 196 17 , , PUNCT iajs-2474 196 18 ӿ ӿ X iajs-2474 196 19 , , PUNCT iajs-2474 196 20 ӿ ӿ X iajs-2474 196 21 , , PUNCT iajs-2474 196 22 ӿ ӿ X iajs-2474 196 23 , , PUNCT iajs-2474 196 24 ӿ ӿ X iajs-2474 196 25 , , PUNCT iajs-2474 196 26 ӿ ӿ X iajs-2474 196 27 , , PUNCT iajs-2474 196 28 ӿ ӿ X iajs-2474 196 29 , , PUNCT iajs-2474 196 30 ӿ ӿ X iajs-2474 196 31 . . PUNCT iajs-2474 197 1 if if SCONJ iajs-2474 197 2 we we PRON iajs-2474 197 3 delete delete VERB iajs-2474 197 4 the the DET iajs-2474 197 5 attribute attribute NOUN iajs-2474 197 6 emaciation emaciation NOUN iajs-2474 197 7 ( ( PUNCT iajs-2474 197 8 n n CCONJ iajs-2474 197 9 ) ) PUNCT iajs-2474 197 10 , , PUNCT iajs-2474 197 11 then then ADV iajs-2474 197 12 we we PRON iajs-2474 197 13 get get VERB iajs-2474 197 14 , , PUNCT iajs-2474 197 15 ҳ ҳ NOUN iajs-2474 197 16 /ȓ /ȓ PUNCT iajs-2474 197 17 n n PROPN iajs-2474 197 18 = = SYM iajs-2474 197 19 ӿ ӿ PROPN iajs-2474 197 20 , , PUNCT iajs-2474 197 21 ӿ ӿ X iajs-2474 197 22 , , PUNCT iajs-2474 197 23 ӿ ӿ X iajs-2474 197 24 , , PUNCT iajs-2474 197 25 ӿ ӿ X iajs-2474 197 26 , , PUNCT iajs-2474 197 27 hence hence ADV iajs-2474 197 28 ṭȓ ṭȓ ADP iajs-2474 197 29 ⱥ ⱥ NOUN iajs-2474 197 30 ҳ ҳ NOUN iajs-2474 197 31 , , PUNCT iajs-2474 197 32 ∅ ∅ NOUN iajs-2474 197 33 , , PUNCT iajs-2474 197 34 ӿ ӿ X iajs-2474 197 35 , , PUNCT iajs-2474 197 36 ӿ ӿ X iajs-2474 197 37 ṭȓ ṭȓ INTJ iajs-2474 197 38 ⱥ ⱥ X iajs-2474 197 39 . . PUNCT iajs-2474 198 1 ňpo ňpo VERB iajs-2474 198 2 ҳ ҳ SYM iajs-2474 198 3 ҳ ҳ NOUN iajs-2474 198 4 , , PUNCT iajs-2474 198 5 ∅ ∅ NOUN iajs-2474 198 6 , , PUNCT iajs-2474 198 7 ӿ ӿ X iajs-2474 198 8 , , PUNCT iajs-2474 198 9 ӿ ӿ X iajs-2474 198 10 , , PUNCT iajs-2474 198 11 ӿ ӿ X iajs-2474 198 12 , , PUNCT iajs-2474 198 13 ӿ ӿ X iajs-2474 198 14 , , PUNCT iajs-2474 198 15 ӿ ӿ X iajs-2474 198 16 , , PUNCT iajs-2474 198 17 ӿ ӿ X iajs-2474 198 18 , , PUNCT iajs-2474 198 19 ӿ ӿ X iajs-2474 198 20 , , PUNCT iajs-2474 198 21 ӿ ӿ X iajs-2474 198 22 , , PUNCT iajs-2474 198 23 ӿ ӿ X iajs-2474 198 24 , , PUNCT iajs-2474 198 25 ӿ ӿ X iajs-2474 198 26 , , PUNCT iajs-2474 198 27 ӿ ӿ X iajs-2474 198 28 , , PUNCT iajs-2474 198 29 ӿ ӿ X iajs-2474 198 30 , , PUNCT iajs-2474 198 31 ӿ ӿ X iajs-2474 198 32 , , PUNCT iajs-2474 198 33 ӿ ӿ X iajs-2474 198 34 , , PUNCT iajs-2474 198 35 ӿ ӿ X iajs-2474 198 36 , , PUNCT iajs-2474 198 37 ӿ ӿ X iajs-2474 198 38 , , PUNCT iajs-2474 198 39 ӿ ӿ X iajs-2474 198 40 , , PUNCT iajs-2474 198 41 ӿ ӿ X iajs-2474 198 42 , , PUNCT iajs-2474 198 43 ӿ ӿ X iajs-2474 198 44 , , PUNCT iajs-2474 198 45 ӿ ӿ X iajs-2474 198 46 , , PUNCT iajs-2474 198 47 ӿ ӿ X iajs-2474 198 48 , , PUNCT iajs-2474 198 49 ӿ ӿ X iajs-2474 198 50 , , PUNCT iajs-2474 198 51 ӿ ӿ X iajs-2474 198 52 , , PUNCT iajs-2474 198 53 ӿ ӿ X iajs-2474 198 54 , , PUNCT iajs-2474 198 55 ňẛpgc ňẛpgc ADJ iajs-2474 198 56 ҳ ҳ NOUN iajs-2474 198 57 = = SYM iajs-2474 198 58 ҳ ҳ PROPN iajs-2474 198 59 , , PUNCT iajs-2474 198 60 ∅ ∅ NOUN iajs-2474 198 61 , , PUNCT iajs-2474 198 62 ӿ ӿ X iajs-2474 198 63 , , PUNCT iajs-2474 198 64 ӿ ӿ X iajs-2474 198 65 , , PUNCT iajs-2474 198 66 ӿ ӿ X iajs-2474 198 67 , , PUNCT iajs-2474 198 68 ӿ ӿ X iajs-2474 198 69 , , PUNCT iajs-2474 198 70 ӿ ӿ X iajs-2474 198 71 , , PUNCT iajs-2474 198 72 ӿ ӿ X iajs-2474 198 73 , , PUNCT iajs-2474 198 74 ňẛpgo ňẛpgo PROPN iajs-2474 198 75 ҳ ҳ SYM iajs-2474 198 76 ҳ ҳ PROPN iajs-2474 198 77 , , PUNCT iajs-2474 198 78 ∅ ∅ NOUN iajs-2474 198 79 , , PUNCT iajs-2474 198 80 ӿ ӿ X iajs-2474 198 81 , , PUNCT iajs-2474 198 82 ӿ ӿ X iajs-2474 198 83 , , PUNCT iajs-2474 198 84 ӿ ӿ X iajs-2474 198 85 , , PUNCT iajs-2474 198 86 ӿ ӿ X iajs-2474 198 87 , , PUNCT iajs-2474 198 88 ӿ ӿ X iajs-2474 198 89 , , PUNCT iajs-2474 198 90 ӿ ӿ X iajs-2474 198 91 . . PUNCT iajs-2474 199 1 therefore therefore ADV iajs-2474 199 2 , , PUNCT iajs-2474 199 3 from from ADP iajs-2474 199 4 table table NOUN iajs-2474 199 5 above above ADP iajs-2474 199 6 we we PRON iajs-2474 199 7 get get VERB iajs-2474 199 8 a a DET iajs-2474 199 9 core core NOUN iajs-2474 199 10 ȓ ȓ PROPN iajs-2474 199 11 𝑇 𝑇 PROPN iajs-2474 199 12 , , PUNCT iajs-2474 199 13 𝐼 𝐼 PROPN iajs-2474 199 14 , , PUNCT iajs-2474 199 15 we we PRON iajs-2474 199 16 investigate investigate VERB iajs-2474 199 17 that that SCONJ iajs-2474 199 18 , , PUNCT iajs-2474 199 19 ( ( PUNCT iajs-2474 199 20 temperature temperature NOUN iajs-2474 199 21 𝑇 𝑇 PROPN iajs-2474 199 22 ) ) PUNCT iajs-2474 199 23 and and CCONJ iajs-2474 199 24 ( ( PUNCT iajs-2474 199 25 inability inability NOUN iajs-2474 199 26 to to PART iajs-2474 199 27 swallow swallow VERB iajs-2474 199 28 𝐼 𝐼 PROPN iajs-2474 199 29 ) ) PUNCT iajs-2474 199 30 are be AUX iajs-2474 199 31 the the DET iajs-2474 199 32 sufficient sufficient ADJ iajs-2474 199 33 and and CCONJ iajs-2474 199 34 necessary necessary ADJ iajs-2474 199 35 to to PART iajs-2474 199 36 say say VERB iajs-2474 199 37 that that SCONJ iajs-2474 199 38 a a DET iajs-2474 199 39 patient patient NOUN iajs-2474 199 40 have have VERB iajs-2474 199 41 tonsillitis tonsillitis ADJ iajs-2474 199 42 𝑆 𝑆 PROPN iajs-2474 199 43 , , PUNCT iajs-2474 199 44 since since SCONJ iajs-2474 199 45 ňẛ𝑝𝑔𝑂 ňẛ𝑝𝑔𝑂 PROPN iajs-2474 199 46 ҳ ҳ PROPN iajs-2474 199 47 = = SYM iajs-2474 199 48 ҳ ҳ PROPN iajs-2474 199 49 , , PUNCT iajs-2474 199 50 ∅ ∅ NOUN iajs-2474 199 51 , , PUNCT iajs-2474 199 52 ӿ ӿ X iajs-2474 199 53 , , PUNCT iajs-2474 199 54 ӿ ӿ X iajs-2474 199 55 , , PUNCT iajs-2474 199 56 ӿ ӿ X iajs-2474 199 57 , , PUNCT iajs-2474 199 58 ӿ ӿ X iajs-2474 199 59 , , PUNCT iajs-2474 199 60 ӿ ӿ X iajs-2474 199 61 , , PUNCT iajs-2474 199 62 ӿ ӿ X iajs-2474 199 63 , , PUNCT iajs-2474 199 64 ӿ ӿ X iajs-2474 199 65 , , PUNCT iajs-2474 199 66 ӿ ӿ X iajs-2474 199 67 , , PUNCT iajs-2474 199 68 ӿ ӿ X iajs-2474 199 69 , , PUNCT iajs-2474 199 70 ӿ ӿ X iajs-2474 199 71 , , PUNCT iajs-2474 199 72 ӿ ӿ X iajs-2474 199 73 , , PUNCT iajs-2474 199 74 ӿ ӿ X iajs-2474 199 75 , , PUNCT iajs-2474 199 76 where where SCONJ iajs-2474 199 77 ṭȓ ṭȓ PRON iajs-2474 199 78 ⱥ ⱥ PROPN iajs-2474 199 79 ҳ ҳ PROPN iajs-2474 199 80 , , PUNCT iajs-2474 199 81 ∅ ∅ NOUN iajs-2474 199 82 , , PUNCT iajs-2474 199 83 ӿ ӿ X iajs-2474 199 84 , , PUNCT iajs-2474 199 85 ӿ ӿ X iajs-2474 199 86 , , PUNCT iajs-2474 199 87 ӿ ӿ X iajs-2474 199 88 , , PUNCT iajs-2474 199 89 ӿ ӿ X iajs-2474 199 90 , , PUNCT iajs-2474 199 91 ӿ ӿ X iajs-2474 199 92 , , PUNCT iajs-2474 199 93 ӿ ӿ PROPN iajs-2474 199 94 and and CCONJ iajs-2474 199 95 ňẛ𝑝𝑔𝑂 ňẛ𝑝𝑔𝑂 PROPN iajs-2474 199 96 ҳ ҳ SYM iajs-2474 199 97 ҳ ҳ PROPN iajs-2474 199 98 , , PUNCT iajs-2474 199 99 ∅ ∅ NOUN iajs-2474 199 100 , , PUNCT iajs-2474 199 101 ӿ ӿ X iajs-2474 199 102 , , PUNCT iajs-2474 199 103 ӿ ӿ X iajs-2474 199 104 , , PUNCT iajs-2474 199 105 ӿ ӿ X iajs-2474 199 106 , , PUNCT iajs-2474 199 107 ӿ ӿ X iajs-2474 199 108 , , PUNCT iajs-2474 199 109 ӿ ӿ X iajs-2474 199 110 , , PUNCT iajs-2474 199 111 ӿ ӿ X iajs-2474 199 112 , , PUNCT iajs-2474 199 113 ӿ ӿ X iajs-2474 199 114 , , PUNCT iajs-2474 199 115 ӿ ӿ X iajs-2474 199 116 , , PUNCT iajs-2474 199 117 ӿ ӿ X iajs-2474 199 118 , , PUNCT iajs-2474 199 119 ӿ ӿ X iajs-2474 199 120 , , PUNCT iajs-2474 199 121 ӿ ӿ X iajs-2474 199 122 , , PUNCT iajs-2474 199 123 ӿ ӿ X iajs-2474 199 124 .where .where ADV iajs-2474 199 125 , , PUNCT iajs-2474 199 126     SPACE iajs-2474 199 127 ṭȓ ṭȓ PRON iajs-2474 199 128 ⱥ ⱥ PROPN iajs-2474 199 129 = = SYM iajs-2474 199 130 ҳ ҳ PROPN iajs-2474 199 131 , , PUNCT iajs-2474 199 132 ∅ ∅ NOUN iajs-2474 199 133 , , PUNCT iajs-2474 199 134 ӿ ӿ X iajs-2474 199 135 , , PUNCT iajs-2474 199 136 ӿ ӿ X iajs-2474 199 137 , , PUNCT iajs-2474 199 138 ӿ ӿ X iajs-2474 199 139 , , PUNCT iajs-2474 199 140 ӿ ӿ X iajs-2474 199 141 , , PUNCT iajs-2474 199 142 ӿ ӿ X iajs-2474 199 143 , , PUNCT iajs-2474 199 144 ӿ ӿ X iajs-2474 199 145 . . PUNCT iajs-2474 200 1 table table NOUN iajs-2474 200 2 6 6 NUM iajs-2474 200 3 . . PUNCT iajs-2474 200 4 explains explain VERB iajs-2474 200 5     SPACE iajs-2474 200 6 the the DET iajs-2474 200 7 difference difference NOUN iajs-2474 200 8 for for ADP iajs-2474 200 9 the the DET iajs-2474 200 10 𝑛𝑎𝑛𝑜 𝑛𝑎𝑛𝑜 ADJ iajs-2474 200 11 ẛ𝑝𝑔𝑂 ẛ𝑝𝑔𝑂 PROPN iajs-2474 200 12 ҳ ҳ PROPN iajs-2474 200 13 according accord VERB iajs-2474 200 14 to to ADP iajs-2474 200 15 difference difference NOUN iajs-2474 200 16 equivalent equivalent ADJ iajs-2474 200 17 classes class NOUN iajs-2474 200 18 . . PUNCT iajs-2474 200 19     SPACE iajs-2474 201 1 78 78 NUM iajs-2474 201 2 ibn ibn PROPN iajs-2474 201 3 al al PROPN iajs-2474 201 4 - - PUNCT iajs-2474 201 5 haitham haitham PROPN iajs-2474 201 6 jour jour X iajs-2474 201 7 . . PROPN iajs-2474 201 8 for for ADP iajs-2474 201 9 pure pure ADJ iajs-2474 201 10 & & CCONJ iajs-2474 201 11 appl appl PROPN iajs-2474 201 12 . . PUNCT iajs-2474 202 1 sci sci PROPN iajs-2474 202 2 . . PROPN iajs-2474 203 1 33 33 NUM iajs-2474 203 2 ( ( PUNCT iajs-2474 203 3 3 3 NUM iajs-2474 203 4 ) ) PUNCT iajs-2474 203 5 2020 2020 NUM iajs-2474 203 6 table table NOUN iajs-2474 203 7 6 6 NUM iajs-2474 203 8 . . PUNCT iajs-2474 203 9 effective effective ADJ iajs-2474 203 10 symptoms symptom NOUN iajs-2474 203 11 . . PUNCT iajs-2474 204 1 𝑬𝒒𝒖𝒊𝒗𝒂𝒍𝒆𝒏𝒕 𝑬𝒒𝒖𝒊𝒗𝒂𝒍𝒆𝒏𝒕 PROPN iajs-2474 204 2 𝒄𝒍𝒂 𝒄𝒍𝒂 NOUN iajs-2474 204 3 𝑵𝒂𝒏𝒐 𝑵𝒂𝒏𝒐 PROPN iajs-2474 204 4 𝒕𝒐𝒑𝒐𝒍𝒐𝒈 𝒕𝒐𝒑𝒐𝒍𝒐𝒈 NOUN iajs-2474 205 1 𝑵𝒂𝒏𝒐 𝑵𝒂𝒏𝒐 PROPN iajs-2474 205 2 ẛ𝑝𝑔𝐶 ẛ𝑝𝑔𝐶 NOUN iajs-2474 205 3 ҳ ҳ X iajs-2474 205 4 𝑵𝒂𝒏𝒐 𝑵𝒂𝒏𝒐 PROPN iajs-2474 205 5 ẛ𝑝𝑔𝑂 ẛ𝑝𝑔𝑂 ADJ iajs-2474 205 6 ҳ ҳ PROPN iajs-2474 205 7 ҳ ҳ PROPN iajs-2474 205 8 /ȓ /ȓ PUNCT iajs-2474 205 9 ӿ ӿ X iajs-2474 205 10 , , PUNCT iajs-2474 205 11 ӿ ӿ X iajs-2474 205 12 , , PUNCT iajs-2474 205 13 ӿ ӿ X iajs-2474 205 14 ṭȓ ṭȓ INTJ iajs-2474 205 15 ⱥ ⱥ PROPN iajs-2474 205 16 ҳ ҳ NOUN iajs-2474 205 17 , , PUNCT iajs-2474 205 18 ∅ ∅ NOUN iajs-2474 205 19 , , PUNCT iajs-2474 205 20 ӿ ӿ X iajs-2474 205 21 , , PUNCT iajs-2474 205 22 ӿ ӿ PROPN iajs-2474 205 23 ҳ ҳ PROPN iajs-2474 205 24 , , PUNCT iajs-2474 205 25 ∅ ∅ NOUN iajs-2474 205 26 , , PUNCT iajs-2474 205 27 ӿ ӿ X iajs-2474 205 28 , , PUNCT iajs-2474 205 29 ӿ ӿ X iajs-2474 205 30 , , PUNCT iajs-2474 205 31 ӿ ӿ X iajs-2474 205 32 , , PUNCT iajs-2474 205 33 ӿ ӿ X iajs-2474 205 34 , , PUNCT iajs-2474 205 35 ӿ ӿ X iajs-2474 205 36 , , PUNCT iajs-2474 205 37 ӿ ӿ PROPN iajs-2474 205 38 ҳ ҳ PROPN iajs-2474 205 39 , , PUNCT iajs-2474 205 40 ∅ ∅ NOUN iajs-2474 205 41 , , PUNCT iajs-2474 205 42 ӿ ӿ X iajs-2474 205 43 , , PUNCT iajs-2474 205 44 ӿ ӿ X iajs-2474 205 45 , , PUNCT iajs-2474 205 46 ӿ ӿ X iajs-2474 205 47 , , PUNCT iajs-2474 205 48 ӿ ӿ X iajs-2474 205 49 , , PUNCT iajs-2474 205 50 ӿ ӿ X iajs-2474 205 51 , , PUNCT iajs-2474 205 52 ӿ ӿ VERB iajs-2474 205 53 ҳ ҳ PROPN iajs-2474 205 54 /ȓ /ȓ PUNCT iajs-2474 205 55 𝑇 𝑇 PROPN iajs-2474 205 56 ) ) PUNCT iajs-2474 205 57     SPACE iajs-2474 205 58 ӿ ӿ PROPN iajs-2474 205 59 , , PUNCT iajs-2474 205 60 ӿ ӿ X iajs-2474 205 61 , , PUNCT iajs-2474 205 62 ӿ ӿ X iajs-2474 205 63 , , PUNCT iajs-2474 205 64 ṭȓ ṭȓ PRON iajs-2474 205 65 ⱥ ⱥ PROPN iajs-2474 205 66     SPACE iajs-2474 205 67 ҳ ҳ PROPN iajs-2474 205 68 , , PUNCT iajs-2474 205 69 ∅ ∅ NOUN iajs-2474 205 70 , , PUNCT iajs-2474 205 71 ӿ ӿ X iajs-2474 205 72 , , PUNCT iajs-2474 205 73 ӿ ӿ X iajs-2474 205 74 , , PUNCT iajs-2474 205 75 ӿ ӿ X iajs-2474 205 76     SPACE iajs-2474 205 77 ӿ ӿ PROPN iajs-2474 205 78 , , PUNCT iajs-2474 205 79 ӿ ӿ X iajs-2474 205 80 , , PUNCT iajs-2474 205 81 ӿ ӿ X iajs-2474 205 82     SPACE iajs-2474 205 83 ҳ ҳ PROPN iajs-2474 205 84 , , PUNCT iajs-2474 205 85 ∅ ∅ NOUN iajs-2474 205 86 , , PUNCT iajs-2474 205 87 ӿ ӿ X iajs-2474 205 88 , , PUNCT iajs-2474 205 89 ӿ ӿ X iajs-2474 205 90 , , PUNCT iajs-2474 205 91 ӿ ӿ X iajs-2474 205 92 , , PUNCT iajs-2474 205 93 ӿ ӿ X iajs-2474 205 94 , , PUNCT iajs-2474 205 95 ӿ ӿ X iajs-2474 205 96 , , PUNCT iajs-2474 205 97 ӿ ӿ X iajs-2474 205 98 , , PUNCT iajs-2474 205 99 ӿ ӿ X iajs-2474 205 100 , , PUNCT iajs-2474 205 101 ӿ ӿ X iajs-2474 205 102 , , PUNCT iajs-2474 205 103 ӿ ӿ X iajs-2474 205 104 , , PUNCT iajs-2474 205 105 ӿ ӿ X iajs-2474 205 106 , , PUNCT iajs-2474 205 107 ӿ ӿ X iajs-2474 205 108 , , PUNCT iajs-2474 205 109 ӿ ӿ PROPN iajs-2474 205 110 ҳ ҳ PROPN iajs-2474 205 111 , , PUNCT iajs-2474 205 112 ∅ ∅ NOUN iajs-2474 205 113 , , PUNCT iajs-2474 205 114 ӿ ӿ X iajs-2474 205 115 , , PUNCT iajs-2474 205 116 ӿ ӿ X iajs-2474 205 117 , , PUNCT iajs-2474 205 118 ӿ ӿ X iajs-2474 205 119 , , PUNCT iajs-2474 205 120 ӿ ӿ X iajs-2474 205 121 , , PUNCT iajs-2474 205 122 ӿ ӿ X iajs-2474 205 123 , , PUNCT iajs-2474 205 124 ӿ ӿ X iajs-2474 205 125 , , PUNCT iajs-2474 205 126 ӿ ӿ X iajs-2474 205 127 , , PUNCT iajs-2474 205 128 ӿ ӿ X iajs-2474 205 129 , , PUNCT iajs-2474 205 130 ӿ ӿ X iajs-2474 205 131 , , PUNCT iajs-2474 205 132 ӿ ӿ X iajs-2474 205 133 , , PUNCT iajs-2474 205 134 ӿ ӿ X iajs-2474 205 135 , , PUNCT iajs-2474 205 136 ӿ ӿ VERB iajs-2474 205 137 ҳ ҳ PROPN iajs-2474 205 138 /ȓ /ȓ PUNCT iajs-2474 205 139 𝐽 𝐽 PROPN iajs-2474 205 140 ӿ ӿ X iajs-2474 205 141 , , PUNCT iajs-2474 205 142 ӿ ӿ PROPN iajs-2474 205 143 , , PUNCT iajs-2474 205 144 ӿ ӿ X iajs-2474 205 145 ṭȓ ṭȓ INTJ iajs-2474 205 146 ⱥ ⱥ PROPN iajs-2474 205 147 ҳ ҳ NOUN iajs-2474 205 148 , , PUNCT iajs-2474 205 149 ∅ ∅ NOUN iajs-2474 205 150 , , PUNCT iajs-2474 205 151 ӿ ӿ X iajs-2474 205 152 , , PUNCT iajs-2474 205 153 ӿ ӿ PROPN iajs-2474 205 154 ҳ ҳ PROPN iajs-2474 205 155 , , PUNCT iajs-2474 205 156 ∅ ∅ NOUN iajs-2474 205 157 , , PUNCT iajs-2474 205 158 ӿ ӿ X iajs-2474 205 159 , , PUNCT iajs-2474 205 160 ӿ ӿ X iajs-2474 205 161 , , PUNCT iajs-2474 205 162 ӿ ӿ X iajs-2474 205 163 , , PUNCT iajs-2474 205 164 ӿ ӿ X iajs-2474 205 165 , , PUNCT iajs-2474 205 166 ӿ ӿ X iajs-2474 205 167 , , PUNCT iajs-2474 205 168 ӿ ӿ PROPN iajs-2474 205 169 ҳ ҳ PROPN iajs-2474 205 170 , , PUNCT iajs-2474 205 171 ∅ ∅ NOUN iajs-2474 205 172 , , PUNCT iajs-2474 205 173 ӿ ӿ X iajs-2474 205 174 , , PUNCT iajs-2474 205 175 ӿ ӿ X iajs-2474 205 176 , , PUNCT iajs-2474 205 177 ӿ ӿ X iajs-2474 205 178 , , PUNCT iajs-2474 205 179 ӿ ӿ X iajs-2474 205 180 , , PUNCT iajs-2474 205 181 ӿ ӿ X iajs-2474 205 182 , , PUNCT iajs-2474 205 183 ӿ ӿ VERB iajs-2474 205 184 ҳ ҳ NOUN iajs-2474 205 185 /ȓ /ȓ PUNCT iajs-2474 206 1 𝐼 𝐼 PROPN iajs-2474 206 2     SPACE iajs-2474 206 3 ӿ ӿ PROPN iajs-2474 206 4 , , PUNCT iajs-2474 206 5 ӿ ӿ X iajs-2474 206 6 , , PUNCT iajs-2474 206 7 ӿ ӿ X iajs-2474 206 8 , , PUNCT iajs-2474 206 9 ṭȓ ṭȓ PRON iajs-2474 206 10 ⱥ ⱥ X iajs-2474 206 11 { { PUNCT iajs-2474 206 12 ҳ ҳ NOUN iajs-2474 206 13 , , PUNCT iajs-2474 206 14 ∅ ∅ NOUN iajs-2474 206 15 , , PUNCT iajs-2474 206 16 ӿ ӿ X iajs-2474 206 17 , , PUNCT iajs-2474 206 18 ӿ ӿ X iajs-2474 206 19 , , PUNCT iajs-2474 206 20 ӿ ӿ PROPN iajs-2474 206 21 ӿ ӿ X iajs-2474 206 22 , , PUNCT iajs-2474 206 23 ӿ ӿ X iajs-2474 206 24 , , PUNCT iajs-2474 206 25 ӿ ӿ PROPN iajs-2474 206 26 ҳ ҳ PROPN iajs-2474 206 27 , , PUNCT iajs-2474 206 28 ∅ ∅ NOUN iajs-2474 206 29 , , PUNCT iajs-2474 206 30 ӿ ӿ X iajs-2474 206 31 , , PUNCT iajs-2474 206 32 ӿ ӿ X iajs-2474 206 33 , , PUNCT iajs-2474 206 34 ӿ ӿ X iajs-2474 206 35 , , PUNCT iajs-2474 206 36 ӿ ӿ X iajs-2474 206 37 , , PUNCT iajs-2474 206 38 ӿ ӿ X 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206 78 ӿ ӿ X iajs-2474 206 79 . . 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PROPN iajs-2474 208 1 for for ADP iajs-2474 208 2 pure pure ADJ iajs-2474 208 3 & & CCONJ iajs-2474 208 4 appl appl PROPN iajs-2474 208 5 . . PUNCT iajs-2474 209 1 sci sci PROPN iajs-2474 209 2 . . PROPN iajs-2474 210 1 33 33 NUM iajs-2474 210 2 ( ( PUNCT iajs-2474 210 3 3 3 NUM iajs-2474 210 4 ) ) PUNCT iajs-2474 210 5 2020 2020 NUM iajs-2474 210 6 references reference NOUN iajs-2474 210 7 1 1 NUM iajs-2474 210 8 . . PUNCT iajs-2474 211 1 kuratowski kuratowski PROPN iajs-2474 211 2 , , PUNCT iajs-2474 211 3 k. k. PROPN iajs-2474 211 4 ; ; PUNCT iajs-2474 211 5 topology topology PROPN iajs-2474 211 6 new new PROPN iajs-2474 211 7 york york PROPN iajs-2474 211 8 : : PUNCT iajs-2474 211 9 academic academic PROPN iajs-2474 211 10 press.1966 press.1966 PROPN iajs-2474 211 11 , , PUNCT iajs-2474 211 12 i. i. NOUN iajs-2474 211 13 2 2 NUM iajs-2474 211 14 . . PUNCT iajs-2474 211 15 vaidyanathaswamy vaidyanathaswamy NOUN iajs-2474 211 16 , , PUNCT iajs-2474 211 17 v. v. 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