id sid tid token lemma pos ajst-16341 1 1 academic academic ADJ ajst-16341 1 2 journal journal NOUN ajst-16341 1 3 of of ADP ajst-16341 1 4 science science NOUN ajst-16341 1 5 and and CCONJ ajst-16341 1 6 technology technology NOUN ajst-16341 1 7 issn issn NOUN ajst-16341 1 8 : : PUNCT ajst-16341 1 9 2771 2771 NUM ajst-16341 1 10 - - SYM ajst-16341 1 11 3032 3032 NUM ajst-16341 1 12 | | NOUN ajst-16341 1 13 vol vol NOUN ajst-16341 1 14 . . PROPN ajst-16341 2 1 9 9 NUM ajst-16341 2 2 , , PUNCT ajst-16341 2 3 no no INTJ ajst-16341 2 4 . . NOUN ajst-16341 2 5 1 1 NUM ajst-16341 2 6 , , PUNCT ajst-16341 2 7 2024 2024 NUM ajst-16341 2 8 155 155 NUM ajst-16341 2 9 construction construction NOUN ajst-16341 2 10 of of ADP ajst-16341 2 11 the the DET ajst-16341 2 12 aerogel aerogel NOUN ajst-16341 2 13 thermal thermal ADJ ajst-16341 2 14 conductivity conductivity NOUN ajst-16341 2 15 model model NOUN ajst-16341 2 16 based base VERB ajst-16341 2 17 on on ADP ajst-16341 2 18 π’Œ π’Œ PRON ajst-16341 2 19 π’Œ π’Œ PRON ajst-16341 2 20 sierpinski sierpinski ADJ ajst-16341 2 21 carpet carpet NOUN ajst-16341 2 22 fractal fractal PROPN ajst-16341 2 23 units unit NOUN ajst-16341 2 24 ziwei ziwei PROPN ajst-16341 2 25 wang1 wang1 PROPN ajst-16341 2 26 , , PUNCT ajst-16341 2 27 lijie lijie PROPN ajst-16341 2 28 cai1 cai1 PROPN ajst-16341 2 29 , , PUNCT ajst-16341 2 30 rui rui PROPN ajst-16341 2 31 fang2 fang2 PROPN ajst-16341 2 32 , , PUNCT ajst-16341 2 33 hao hao PROPN ajst-16341 2 34 wang3 wang3 PROPN ajst-16341 2 35 , , PUNCT ajst-16341 2 36 weihan weihan PROPN ajst-16341 2 37 chen4 chen4 PROPN ajst-16341 2 38 , , PUNCT ajst-16341 2 39 yinghe yinghe ADJ ajst-16341 2 40 hu5 hu5 NOUN ajst-16341 2 41 , , PUNCT ajst-16341 2 42 xiaoyin xiaoyin PROPN ajst-16341 2 43 wang5 wang5 PROPN ajst-16341 2 44 , , PUNCT ajst-16341 2 45 * * PROPN ajst-16341 3 1 1school 1school NUM ajst-16341 3 2 of of ADP ajst-16341 3 3 mathematical mathematical ADJ ajst-16341 3 4 sciences sciences PROPN ajst-16341 3 5 , , PUNCT ajst-16341 3 6 tiangong tiangong NOUN ajst-16341 3 7 university university PROPN ajst-16341 3 8 , , PUNCT ajst-16341 3 9 tianjin tianjin PROPN ajst-16341 3 10 300387 300387 NUM ajst-16341 3 11 , , PUNCT ajst-16341 3 12 china china PROPN ajst-16341 3 13 2school 2school NUM ajst-16341 3 14 of of ADP ajst-16341 3 15 physical physical ADJ ajst-16341 3 16 science science NOUN ajst-16341 3 17 and and CCONJ ajst-16341 3 18 technology technology NOUN ajst-16341 3 19 , , PUNCT ajst-16341 3 20 tiangong tiangong PROPN ajst-16341 3 21 university university PROPN ajst-16341 3 22 , , PUNCT ajst-16341 3 23 tianjin tianjin PROPN ajst-16341 3 24 300387 300387 NUM ajst-16341 3 25 , , PUNCT ajst-16341 3 26 china china PROPN ajst-16341 3 27 3school 3school NUM ajst-16341 3 28 of of ADP ajst-16341 3 29 economics economic NOUN ajst-16341 3 30 and and CCONJ ajst-16341 3 31 management management NOUN ajst-16341 3 32 , , PUNCT ajst-16341 3 33 tiangong tiangong PROPN ajst-16341 3 34 university university PROPN ajst-16341 3 35 , , PUNCT ajst-16341 3 36 tianjin tianjin PROPN ajst-16341 3 37 300387 300387 NUM ajst-16341 3 38 , , PUNCT ajst-16341 3 39 china china PROPN ajst-16341 3 40 4school 4school NUM ajst-16341 3 41 of of ADP ajst-16341 3 42 humanities humanity NOUN ajst-16341 3 43 , , PUNCT ajst-16341 3 44 tiangong tiangong PROPN ajst-16341 3 45 university university PROPN ajst-16341 3 46 , , PUNCT ajst-16341 3 47 tianjin tianjin PROPN ajst-16341 3 48 300387 300387 NUM ajst-16341 3 49 , , PUNCT ajst-16341 3 50 china china PROPN ajst-16341 3 51 5school 5school NUM ajst-16341 3 52 of of ADP ajst-16341 3 53 textile textile NOUN ajst-16341 3 54 science science NOUN ajst-16341 3 55 and and CCONJ ajst-16341 3 56 engineering engineering NOUN ajst-16341 3 57 , , PUNCT ajst-16341 3 58 tiangong tiangong PROPN ajst-16341 3 59 university university PROPN ajst-16341 3 60 , , PUNCT ajst-16341 3 61 tianjin tianjin PROPN ajst-16341 3 62 300387 300387 NUM ajst-16341 3 63 , , PUNCT ajst-16341 3 64 china china PROPN ajst-16341 3 65 * * PUNCT ajst-16341 3 66 corresponding correspond VERB ajst-16341 3 67 author author NOUN ajst-16341 3 68 e e NOUN ajst-16341 3 69 - - NOUN ajst-16341 3 70 mail mail NOUN ajst-16341 3 71 address address NOUN ajst-16341 3 72 : : PUNCT ajst-16341 3 73 wangxiaoyin@tiangong.edu.cn wangxiaoyin@tiangong.edu.cn ADJ ajst-16341 3 74 abstract abstract NOUN ajst-16341 3 75 : : PUNCT ajst-16341 3 76 with with ADP ajst-16341 3 77 the the DET ajst-16341 3 78 characteristics characteristic NOUN ajst-16341 3 79 of of ADP ajst-16341 3 80 low low ADJ ajst-16341 3 81 density density NOUN ajst-16341 3 82 , , PUNCT ajst-16341 3 83 high high ADJ ajst-16341 3 84 specific specific ADJ ajst-16341 3 85 surface surface NOUN ajst-16341 3 86 area area NOUN ajst-16341 3 87 , , PUNCT ajst-16341 3 88 and and CCONJ ajst-16341 3 89 high high ADJ ajst-16341 3 90 porosity porosity NOUN ajst-16341 3 91 , , PUNCT ajst-16341 3 92 aerogel aerogel NOUN ajst-16341 3 93 boasts boast VERB ajst-16341 3 94 prominent prominent ADJ ajst-16341 3 95 advantages advantage NOUN ajst-16341 3 96 in in ADP ajst-16341 3 97 the the DET ajst-16341 3 98 field field NOUN ajst-16341 3 99 of of ADP ajst-16341 3 100 thermal thermal ADJ ajst-16341 3 101 protection protection NOUN ajst-16341 3 102 . . PUNCT ajst-16341 4 1 the the DET ajst-16341 4 2 thermal thermal ADJ ajst-16341 4 3 insulation insulation NOUN ajst-16341 4 4 performance performance NOUN ajst-16341 4 5 of of ADP ajst-16341 4 6 aerogel aerogel NOUN ajst-16341 4 7 has have VERB ajst-16341 4 8 a a DET ajst-16341 4 9 significant significant ADJ ajst-16341 4 10 relationship relationship NOUN ajst-16341 4 11 with with ADP ajst-16341 4 12 its its PRON ajst-16341 4 13 internal internal ADJ ajst-16341 4 14 microstructure microstructure NOUN ajst-16341 4 15 . . PUNCT ajst-16341 5 1 in in ADP ajst-16341 5 2 this this DET ajst-16341 5 3 study study NOUN ajst-16341 5 4 , , PUNCT ajst-16341 5 5 the the DET ajst-16341 5 6 thermal thermal ADJ ajst-16341 5 7 conduction conduction NOUN ajst-16341 5 8 model model NOUN ajst-16341 5 9 of of ADP ajst-16341 5 10 sierpinski sierpinski ADJ ajst-16341 5 11 aerogel aerogel NOUN ajst-16341 5 12 filled fill VERB ajst-16341 5 13 with with ADP ajst-16341 5 14 solid solid ADJ ajst-16341 5 15 in in ADP ajst-16341 5 16 gas gas NOUN ajst-16341 5 17 is be AUX ajst-16341 5 18 established establish VERB ajst-16341 5 19 based base VERB ajst-16341 5 20 on on ADP ajst-16341 5 21 the the DET ajst-16341 5 22 equivalent equivalent ADJ ajst-16341 5 23 circuit circuit NOUN ajst-16341 5 24 method method NOUN ajst-16341 5 25 . . PUNCT ajst-16341 6 1 we we PRON ajst-16341 6 2 calculated calculate VERB ajst-16341 6 3 the the DET ajst-16341 6 4 optimal optimal ADJ ajst-16341 6 5 fractal fractal ADJ ajst-16341 6 6 unit unit NOUN ajst-16341 6 7 structure structure NOUN ajst-16341 6 8 of of ADP ajst-16341 6 9 the the DET ajst-16341 6 10 aerogel aerogel NOUN ajst-16341 6 11 via via ADP ajst-16341 6 12 its its PRON ajst-16341 6 13 porosity porosity NOUN ajst-16341 6 14 , , PUNCT ajst-16341 6 15 applied apply VERB ajst-16341 6 16 it it PRON ajst-16341 6 17 to to ADP ajst-16341 6 18 the the DET ajst-16341 6 19 thermal thermal ADJ ajst-16341 6 20 conductivity conductivity NOUN ajst-16341 6 21 calculation calculation NOUN ajst-16341 6 22 of of ADP ajst-16341 6 23 four four NUM ajst-16341 6 24 types type NOUN ajst-16341 6 25 of of ADP ajst-16341 6 26 aerogels aerogel NOUN ajst-16341 6 27 , , PUNCT ajst-16341 6 28 and and CCONJ ajst-16341 6 29 revealed reveal VERB ajst-16341 6 30 the the DET ajst-16341 6 31 average average ADJ ajst-16341 6 32 relative relative ADJ ajst-16341 6 33 error error NOUN ajst-16341 6 34 of of ADP ajst-16341 6 35 less less ADJ ajst-16341 6 36 than than ADP ajst-16341 6 37 11.58 11.58 NUM ajst-16341 6 38 % % NOUN ajst-16341 6 39 , , PUNCT ajst-16341 6 40 which which PRON ajst-16341 6 41 is be AUX ajst-16341 6 42 lower low ADJ ajst-16341 6 43 than than ADP ajst-16341 6 44 the the DET ajst-16341 6 45 calculation calculation NOUN ajst-16341 6 46 results result NOUN ajst-16341 6 47 of of ADP ajst-16341 6 48 the the DET ajst-16341 6 49 thermal thermal ADJ ajst-16341 6 50 conductivity conductivity NOUN ajst-16341 6 51 model model NOUN ajst-16341 6 52 of of ADP ajst-16341 6 53 the the DET ajst-16341 6 54 aerogel aerogel NOUN ajst-16341 6 55 with with ADP ajst-16341 6 56 the the DET ajst-16341 6 57 fractal fractal ADJ ajst-16341 6 58 unit unit NOUN ajst-16341 6 59 structure structure NOUN ajst-16341 6 60 of of ADP ajst-16341 6 61 3 3 NUM ajst-16341 6 62 3 3 NUM ajst-16341 6 63 , , PUNCT ajst-16341 6 64 indicating indicate VERB ajst-16341 6 65 the the DET ajst-16341 6 66 effectiveness effectiveness NOUN ajst-16341 6 67 and and CCONJ ajst-16341 6 68 reliability reliability NOUN ajst-16341 6 69 of of ADP ajst-16341 6 70 the the DET ajst-16341 6 71 proposed propose VERB ajst-16341 6 72 thermal thermal ADJ ajst-16341 6 73 conductivity conductivity NOUN ajst-16341 6 74 prediction prediction NOUN ajst-16341 6 75 model model NOUN ajst-16341 6 76 . . PUNCT ajst-16341 7 1 keywords keyword NOUN ajst-16341 7 2 : : PUNCT ajst-16341 7 3 thermal thermal ADJ ajst-16341 7 4 conductivity conductivity NOUN ajst-16341 7 5 model model NOUN ajst-16341 7 6 ; ; PUNCT ajst-16341 7 7 optimal optimal ADJ ajst-16341 7 8 fractal fractal ADJ ajst-16341 7 9 unit unit NOUN ajst-16341 7 10 structure structure NOUN ajst-16341 7 11 ; ; PUNCT ajst-16341 7 12 sierpinski sierpinski ADJ ajst-16341 7 13 carpet carpet NOUN ajst-16341 7 14 model model NOUN ajst-16341 7 15 ; ; PUNCT ajst-16341 7 16 aerogel aerogel NOUN ajst-16341 7 17 . . PUNCT ajst-16341 8 1 1 1 X ajst-16341 8 2 . . X ajst-16341 8 3 introduction introduction NOUN ajst-16341 8 4 the the DET ajst-16341 8 5 intensification intensification NOUN ajst-16341 8 6 of of ADP ajst-16341 8 7 energy energy NOUN ajst-16341 8 8 consumption consumption NOUN ajst-16341 8 9 and and CCONJ ajst-16341 8 10 excessive excessive ADJ ajst-16341 8 11 global global ADJ ajst-16341 8 12 co2 co2 NOUN ajst-16341 8 13 emissions emission NOUN ajst-16341 8 14 have have AUX ajst-16341 8 15 become become VERB ajst-16341 8 16 global global ADJ ajst-16341 8 17 concerns concern NOUN ajst-16341 8 18 . . PUNCT ajst-16341 9 1 in in ADP ajst-16341 9 2 recent recent ADJ ajst-16341 9 3 years year NOUN ajst-16341 9 4 , , PUNCT ajst-16341 9 5 the the DET ajst-16341 9 6 importance importance NOUN ajst-16341 9 7 of of ADP ajst-16341 9 8 energy energy NOUN ajst-16341 9 9 management management NOUN ajst-16341 9 10 and and CCONJ ajst-16341 9 11 energy energy NOUN ajst-16341 9 12 consumption consumption NOUN ajst-16341 9 13 reduction reduction NOUN ajst-16341 9 14 has have AUX ajst-16341 9 15 increased[1 increased[1 VERB ajst-16341 9 16 ] ] PUNCT ajst-16341 9 17 . . PUNCT ajst-16341 10 1 using use VERB ajst-16341 10 2 insulation insulation NOUN ajst-16341 10 3 materials material NOUN ajst-16341 10 4 to to PART ajst-16341 10 5 reduce reduce VERB ajst-16341 10 6 heat heat NOUN ajst-16341 10 7 flow flow NOUN ajst-16341 10 8 for for ADP ajst-16341 10 9 insulation insulation NOUN ajst-16341 10 10 can can AUX ajst-16341 10 11 effectively effectively ADV ajst-16341 10 12 improve improve VERB ajst-16341 10 13 energy energy NOUN ajst-16341 10 14 efficiency[2 efficiency[2 PROPN ajst-16341 10 15 ] ] PUNCT ajst-16341 10 16 . . PUNCT ajst-16341 11 1 for for ADP ajst-16341 11 2 example example NOUN ajst-16341 11 3 , , PUNCT ajst-16341 11 4 insulation insulation NOUN ajst-16341 11 5 materials material NOUN ajst-16341 11 6 can can AUX ajst-16341 11 7 be be AUX ajst-16341 11 8 applied apply VERB ajst-16341 11 9 in in ADP ajst-16341 11 10 space space NOUN ajst-16341 11 11 environments environment NOUN ajst-16341 11 12 with with ADP ajst-16341 11 13 large large ADJ ajst-16341 11 14 temperature temperature NOUN ajst-16341 11 15 differences difference NOUN ajst-16341 11 16 , , PUNCT ajst-16341 11 17 playing play VERB ajst-16341 11 18 a a DET ajst-16341 11 19 crucial crucial ADJ ajst-16341 11 20 role role NOUN ajst-16341 11 21 in in ADP ajst-16341 11 22 human human ADJ ajst-16341 11 23 safety safety NOUN ajst-16341 11 24 and and CCONJ ajst-16341 11 25 stable stable ADJ ajst-16341 11 26 equipment equipment NOUN ajst-16341 11 27 operation[3 operation[3 PROPN ajst-16341 11 28 ] ] PUNCT ajst-16341 11 29 . . PUNCT ajst-16341 12 1 moreover moreover ADV ajst-16341 12 2 , , PUNCT ajst-16341 12 3 insulation insulation NOUN ajst-16341 12 4 materials material NOUN ajst-16341 12 5 are be AUX ajst-16341 12 6 widely widely ADV ajst-16341 12 7 used use VERB ajst-16341 12 8 in in ADP ajst-16341 12 9 our our PRON ajst-16341 12 10 daily daily ADJ ajst-16341 12 11 lives life NOUN ajst-16341 12 12 , , PUNCT ajst-16341 12 13 including include VERB ajst-16341 12 14 firefighting firefighting NOUN ajst-16341 12 15 , , PUNCT ajst-16341 12 16 diving diving NOUN ajst-16341 12 17 , , PUNCT ajst-16341 12 18 steelmaking steelmaking NOUN ajst-16341 12 19 , , PUNCT ajst-16341 12 20 polar polar ADJ ajst-16341 12 21 , , PUNCT ajst-16341 12 22 and and CCONJ ajst-16341 12 23 exploration[4 exploration[4 PRON ajst-16341 12 24 ] ] PUNCT ajst-16341 12 25 . . PUNCT ajst-16341 13 1 in in ADP ajst-16341 13 2 the the DET ajst-16341 13 3 past past ADJ ajst-16341 13 4 decade decade NOUN ajst-16341 13 5 , , PUNCT ajst-16341 13 6 aerogel aerogel NOUN ajst-16341 13 7 , , PUNCT ajst-16341 13 8 with with ADP ajst-16341 13 9 its its PRON ajst-16341 13 10 high high ADJ ajst-16341 13 11 porosity porosity NOUN ajst-16341 13 12 , , PUNCT ajst-16341 13 13 small small ADJ ajst-16341 13 14 pore pore ADJ ajst-16341 13 15 size size NOUN ajst-16341 13 16 and and CCONJ ajst-16341 13 17 correspondingly correspondingly ADV ajst-16341 13 18 low low ADJ ajst-16341 13 19 thermal thermal ADJ ajst-16341 13 20 conductivity conductivity NOUN ajst-16341 13 21 , , PUNCT ajst-16341 13 22 has have AUX ajst-16341 13 23 proven prove VERB ajst-16341 13 24 to to PART ajst-16341 13 25 be be AUX ajst-16341 13 26 an an DET ajst-16341 13 27 ideal ideal ADJ ajst-16341 13 28 thermal thermal ADJ ajst-16341 13 29 insulation insulation NOUN ajst-16341 13 30 material material NOUN ajst-16341 13 31 . . PUNCT ajst-16341 14 1 currently currently ADV ajst-16341 14 2 , , PUNCT ajst-16341 14 3 researchers researcher NOUN ajst-16341 14 4 have have AUX ajst-16341 14 5 established establish VERB ajst-16341 14 6 various various ADJ ajst-16341 14 7 calculation calculation NOUN ajst-16341 14 8 methods method NOUN ajst-16341 14 9 for for ADP ajst-16341 14 10 the the DET ajst-16341 14 11 thermal thermal ADJ ajst-16341 14 12 conductivity conductivity NOUN ajst-16341 14 13 of of ADP ajst-16341 14 14 aerogels aerogel NOUN ajst-16341 14 15 . . PUNCT ajst-16341 15 1 first first ADV ajst-16341 15 2 , , PUNCT ajst-16341 15 3 the the DET ajst-16341 15 4 thermal thermal ADJ ajst-16341 15 5 conductivity conductivity NOUN ajst-16341 15 6 is be AUX ajst-16341 15 7 calculated calculate VERB ajst-16341 15 8 through through ADP ajst-16341 15 9 the the DET ajst-16341 15 10 heat heat NOUN ajst-16341 15 11 transfer transfer NOUN ajst-16341 15 12 theoretical theoretical ADJ ajst-16341 15 13 model model NOUN ajst-16341 15 14 . . PUNCT ajst-16341 16 1 the the DET ajst-16341 16 2 heat heat NOUN ajst-16341 16 3 transfer transfer NOUN ajst-16341 16 4 of of ADP ajst-16341 16 5 aerogel aerogel NOUN ajst-16341 16 6 is be AUX ajst-16341 16 7 divided divide VERB ajst-16341 16 8 into into ADP ajst-16341 16 9 three three NUM ajst-16341 16 10 modes mode NOUN ajst-16341 16 11 , , PUNCT ajst-16341 16 12 namely namely ADV ajst-16341 16 13 , , PUNCT ajst-16341 16 14 convection convection NOUN ajst-16341 16 15 heat heat NOUN ajst-16341 16 16 transfer transfer NOUN ajst-16341 16 17 , , PUNCT ajst-16341 16 18 solid solid ADJ ajst-16341 16 19 conduction conduction NOUN ajst-16341 16 20 heat heat NOUN ajst-16341 16 21 transfer transfer NOUN ajst-16341 16 22 , , PUNCT ajst-16341 16 23 and and CCONJ ajst-16341 16 24 radiation radiation NOUN ajst-16341 16 25 heat heat NOUN ajst-16341 16 26 transfer transfer NOUN ajst-16341 16 27 . . PUNCT ajst-16341 17 1 the the DET ajst-16341 17 2 thermal thermal ADJ ajst-16341 17 3 conductivity conductivity NOUN ajst-16341 17 4 of of ADP ajst-16341 17 5 aerogel aerogel NOUN ajst-16341 17 6 in in ADP ajst-16341 17 7 air air NOUN ajst-16341 17 8 is be AUX ajst-16341 17 9 approximately approximately ADV ajst-16341 17 10 the the DET ajst-16341 17 11 sum sum NOUN ajst-16341 17 12 of of ADP ajst-16341 17 13 gas gas NOUN ajst-16341 17 14 phase phase NOUN ajst-16341 17 15 heat heat NOUN ajst-16341 17 16 transfer transfer NOUN ajst-16341 17 17 ( ( PUNCT ajst-16341 17 18 𝝀gas 𝝀gas NOUN ajst-16341 17 19 ) ) PUNCT ajst-16341 17 20 , , PUNCT ajst-16341 17 21 skeleton skeleton NOUN ajst-16341 17 22 ( ( PUNCT ajst-16341 17 23 𝝀solid 𝝀solid NOUN ajst-16341 17 24 ) ) PUNCT ajst-16341 17 25 , , PUNCT ajst-16341 17 26 and and CCONJ ajst-16341 17 27 radiation radiation NOUN ajst-16341 17 28 ( ( PUNCT ajst-16341 17 29 𝝀rad)[5 𝝀rad)[5 NUM ajst-16341 17 30 ] ] PUNCT ajst-16341 17 31 , , PUNCT ajst-16341 17 32 denoted denote VERB ajst-16341 17 33 as as ADP ajst-16341 17 34 πœ† πœ† ADP ajst-16341 17 35 πœ† πœ† ADP ajst-16341 17 36 πœ† πœ† DET ajst-16341 17 37 πœ† πœ† X ajst-16341 17 38 , , PUNCT ajst-16341 17 39 whose whose DET ajst-16341 17 40 advantage advantage NOUN ajst-16341 17 41 is be AUX ajst-16341 17 42 considering consider VERB ajst-16341 17 43 many many ADJ ajst-16341 17 44 factors factor NOUN ajst-16341 17 45 , , PUNCT ajst-16341 17 46 such such ADJ ajst-16341 17 47 as as ADP ajst-16341 17 48 porosity porosity NOUN ajst-16341 17 49 , , PUNCT ajst-16341 17 50 specific specific ADJ ajst-16341 17 51 surface surface NOUN ajst-16341 17 52 area area NOUN ajst-16341 17 53 , , PUNCT ajst-16341 17 54 density density NOUN ajst-16341 17 55 , , PUNCT ajst-16341 17 56 and and CCONJ ajst-16341 17 57 temperature temperature NOUN ajst-16341 17 58 . . PUNCT ajst-16341 18 1 however however ADV ajst-16341 18 2 , , PUNCT ajst-16341 18 3 errors error NOUN ajst-16341 18 4 may may AUX ajst-16341 18 5 exist exist VERB ajst-16341 18 6 in in ADP ajst-16341 18 7 the the DET ajst-16341 18 8 experimental experimental ADJ ajst-16341 18 9 measurement measurement NOUN ajst-16341 18 10 values value NOUN ajst-16341 18 11 of of ADP ajst-16341 18 12 each each DET ajst-16341 18 13 parameter parameter NOUN ajst-16341 18 14 , , PUNCT ajst-16341 18 15 resulting result VERB ajst-16341 18 16 in in ADP ajst-16341 18 17 inaccurate inaccurate ADJ ajst-16341 18 18 calculation calculation NOUN ajst-16341 18 19 of of ADP ajst-16341 18 20 thermal thermal ADJ ajst-16341 18 21 conductivity[6 conductivity[6 NOUN ajst-16341 18 22 - - SYM ajst-16341 18 23 9 9 NUM ajst-16341 18 24 ] ] PUNCT ajst-16341 18 25 . . PUNCT ajst-16341 19 1 in in ADP ajst-16341 19 2 addition addition NOUN ajst-16341 19 3 to to ADP ajst-16341 19 4 these these DET ajst-16341 19 5 parameters parameter NOUN ajst-16341 19 6 , , PUNCT ajst-16341 19 7 some some DET ajst-16341 19 8 factors factor NOUN ajst-16341 19 9 can can AUX ajst-16341 19 10 not not PART ajst-16341 19 11 be be AUX ajst-16341 19 12 measured measure VERB ajst-16341 19 13 by by ADP ajst-16341 19 14 experimental experimental ADJ ajst-16341 19 15 instruments instrument NOUN ajst-16341 19 16 , , PUNCT ajst-16341 19 17 such such ADJ ajst-16341 19 18 as as ADP ajst-16341 19 19 the the DET ajst-16341 19 20 specific specific ADJ ajst-16341 19 21 extinction extinction NOUN ajst-16341 19 22 coefficient coefficient NOUN ajst-16341 19 23 of of ADP ajst-16341 19 24 aerogel aerogel NOUN ajst-16341 19 25 , , PUNCT ajst-16341 19 26 the the DET ajst-16341 19 27 mean mean ADJ ajst-16341 19 28 free free ADJ ajst-16341 19 29 path path NOUN ajst-16341 19 30 of of ADP ajst-16341 19 31 gas gas NOUN ajst-16341 19 32 molecules molecule NOUN ajst-16341 19 33 , , PUNCT ajst-16341 19 34 and and CCONJ ajst-16341 19 35 the the DET ajst-16341 19 36 average average ADJ ajst-16341 19 37 group group NOUN ajst-16341 19 38 velocity velocity NOUN ajst-16341 19 39 of of ADP ajst-16341 19 40 phonons phonon NOUN ajst-16341 19 41 , , PUNCT ajst-16341 19 42 which which PRON ajst-16341 19 43 greatly greatly ADV ajst-16341 19 44 limit limit VERB ajst-16341 19 45 the the DET ajst-16341 19 46 application application NOUN ajst-16341 19 47 fields field NOUN ajst-16341 19 48 of of ADP ajst-16341 19 49 these these DET ajst-16341 19 50 heat heat NOUN ajst-16341 19 51 conduction conduction NOUN ajst-16341 19 52 models[6 models[6 PUNCT ajst-16341 19 53 - - SYM ajst-16341 19 54 9 9 NUM ajst-16341 19 55 ] ] PUNCT ajst-16341 19 56 . . PUNCT ajst-16341 20 1 second second ADJ ajst-16341 20 2 , , PUNCT ajst-16341 20 3 the the DET ajst-16341 20 4 thermal thermal ADJ ajst-16341 20 5 conductivity conductivity NOUN ajst-16341 20 6 of of ADP ajst-16341 20 7 aerogel aerogel NOUN ajst-16341 20 8 is be AUX ajst-16341 20 9 obtained obtain VERB ajst-16341 20 10 using use VERB ajst-16341 20 11 numerical numerical ADJ ajst-16341 20 12 simulation simulation NOUN ajst-16341 20 13 methods method NOUN ajst-16341 20 14 , , PUNCT ajst-16341 20 15 including include VERB ajst-16341 20 16 lattice lattice PROPN ajst-16341 20 17 boltzmann boltzmann PROPN ajst-16341 20 18 method method NOUN ajst-16341 20 19 ( ( PUNCT ajst-16341 20 20 lbm)[10 lbm)[10 NOUN ajst-16341 20 21 - - PUNCT ajst-16341 20 22 14 14 NUM ajst-16341 20 23 ] ] PUNCT ajst-16341 20 24 , , PUNCT ajst-16341 20 25 coupled couple VERB ajst-16341 20 26 finite finite ADJ ajst-16341 20 27 volume volume NOUN ajst-16341 20 28 method method NOUN ajst-16341 20 29 ( ( PUNCT ajst-16341 20 30 fvm)[10,11 fvm)[10,11 PROPN ajst-16341 20 31 ] ] PUNCT ajst-16341 20 32 , , PUNCT ajst-16341 20 33 direct direct ADJ ajst-16341 20 34 simulation simulation NOUN ajst-16341 20 35 monte monte PROPN ajst-16341 20 36 carlo carlo PROPN ajst-16341 20 37 ( ( PUNCT ajst-16341 20 38 dsmc)[10,14 dsmc)[10,14 ADV ajst-16341 20 39 ] ] X ajst-16341 20 40 , , PUNCT ajst-16341 20 41 and and CCONJ ajst-16341 20 42 molecular molecular ADJ ajst-16341 20 43 dynamics dynamic NOUN ajst-16341 20 44 ( ( PUNCT ajst-16341 20 45 md)[10 md)[10 ADV ajst-16341 20 46 ] ] PUNCT ajst-16341 20 47 . . PUNCT ajst-16341 21 1 the the DET ajst-16341 21 2 advantage advantage NOUN ajst-16341 21 3 of of ADP ajst-16341 21 4 this this DET ajst-16341 21 5 method method NOUN ajst-16341 21 6 is be AUX ajst-16341 21 7 the the DET ajst-16341 21 8 simplicity simplicity NOUN ajst-16341 21 9 of of ADP ajst-16341 21 10 the the DET ajst-16341 21 11 empirical empirical ADJ ajst-16341 21 12 correlation correlation NOUN ajst-16341 21 13 and and CCONJ ajst-16341 21 14 the the DET ajst-16341 21 15 accuracy accuracy NOUN ajst-16341 21 16 of of ADP ajst-16341 21 17 the the DET ajst-16341 21 18 calculation calculation NOUN ajst-16341 21 19 results result NOUN ajst-16341 21 20 , , PUNCT ajst-16341 21 21 in in ADP ajst-16341 21 22 terms term NOUN ajst-16341 21 23 of of ADP ajst-16341 21 24 the the DET ajst-16341 21 25 narrowness narrowness NOUN ajst-16341 21 26 of of ADP ajst-16341 21 27 the the DET ajst-16341 21 28 scope scope NOUN ajst-16341 21 29 of of ADP ajst-16341 21 30 application application NOUN ajst-16341 21 31 , , PUNCT ajst-16341 21 32 the the DET ajst-16341 21 33 rigmarole rigmarole NOUN ajst-16341 21 34 of of ADP ajst-16341 21 35 computer computer NOUN ajst-16341 21 36 calculation calculation NOUN ajst-16341 21 37 time time NOUN ajst-16341 21 38 , , PUNCT ajst-16341 21 39 and and CCONJ ajst-16341 21 40 the the DET ajst-16341 21 41 large large ADJ ajst-16341 21 42 demand demand NOUN ajst-16341 21 43 for for ADP ajst-16341 21 44 experimental experimental ADJ ajst-16341 21 45 data datum NOUN ajst-16341 21 46 . . PUNCT ajst-16341 22 1 moreover moreover ADV ajst-16341 22 2 , , PUNCT ajst-16341 22 3 due due ADP ajst-16341 22 4 to to ADP ajst-16341 22 5 the the DET ajst-16341 22 6 complex complex ADJ ajst-16341 22 7 structure structure NOUN ajst-16341 22 8 and and CCONJ ajst-16341 22 9 heat heat NOUN ajst-16341 22 10 transfer transfer NOUN ajst-16341 22 11 process process NOUN ajst-16341 22 12 of of ADP ajst-16341 22 13 aerogel aerogel NOUN ajst-16341 22 14 materials material NOUN ajst-16341 22 15 , , PUNCT ajst-16341 22 16 the the DET ajst-16341 22 17 overall overall ADJ ajst-16341 22 18 heat heat NOUN ajst-16341 22 19 transfer transfer NOUN ajst-16341 22 20 characteristics characteristic NOUN ajst-16341 22 21 of of ADP ajst-16341 22 22 aerogel aerogel NOUN ajst-16341 22 23 is be AUX ajst-16341 22 24 difficult difficult ADJ ajst-16341 22 25 to to PART ajst-16341 22 26 simulate simulate VERB ajst-16341 22 27 at at ADP ajst-16341 22 28 present[15 present[15 NOUN ajst-16341 22 29 ] ] X ajst-16341 22 30 . . PUNCT ajst-16341 23 1 third third ADJ ajst-16341 23 2 , , PUNCT ajst-16341 23 3 the the DET ajst-16341 23 4 thermal thermal ADJ ajst-16341 23 5 conductivity conductivity NOUN ajst-16341 23 6 is be AUX ajst-16341 23 7 obtained obtain VERB ajst-16341 23 8 by by ADP ajst-16341 23 9 constructing construct VERB ajst-16341 23 10 typical typical ADJ ajst-16341 23 11 structural structural ADJ ajst-16341 23 12 units unit NOUN ajst-16341 23 13 corresponding correspond VERB ajst-16341 23 14 to to ADP ajst-16341 23 15 the the DET ajst-16341 23 16 aerogel aerogel NOUN ajst-16341 23 17 microstructure microstructure NOUN ajst-16341 23 18 . . PUNCT ajst-16341 24 1 we we PRON ajst-16341 24 2 simplify simplify VERB ajst-16341 24 3 the the DET ajst-16341 24 4 complex complex ADJ ajst-16341 24 5 nano nano ADJ ajst-16341 24 6 porous porous ADJ ajst-16341 24 7 structure structure NOUN ajst-16341 24 8 of of ADP ajst-16341 24 9 aerogel aerogel NOUN ajst-16341 24 10 material material NOUN ajst-16341 24 11 into into ADP ajst-16341 24 12 a a DET ajst-16341 24 13 regular regular ADJ ajst-16341 24 14 unit unit NOUN ajst-16341 24 15 model model NOUN ajst-16341 24 16 , , PUNCT ajst-16341 24 17 and and CCONJ ajst-16341 24 18 then then ADV ajst-16341 24 19 obtain obtain VERB ajst-16341 24 20 the the DET ajst-16341 24 21 combined combine VERB ajst-16341 24 22 thermal thermal ADJ ajst-16341 24 23 conductivity conductivity NOUN ajst-16341 24 24 of of ADP ajst-16341 24 25 gas gas NOUN ajst-16341 24 26 phase phase NOUN ajst-16341 24 27 and and CCONJ ajst-16341 24 28 solid solid ADJ ajst-16341 24 29 phase phase NOUN ajst-16341 24 30 by by ADP ajst-16341 24 31 using use VERB ajst-16341 24 32 the the DET ajst-16341 24 33 equivalent equivalent ADJ ajst-16341 24 34 resistance resistance NOUN ajst-16341 24 35 method method NOUN ajst-16341 24 36 based base VERB ajst-16341 24 37 on on ADP ajst-16341 24 38 the the DET ajst-16341 24 39 known know VERB ajst-16341 24 40 structural structural ADJ ajst-16341 24 41 parameters parameter NOUN ajst-16341 24 42 . . PUNCT ajst-16341 25 1 for for ADP ajst-16341 25 2 example example NOUN ajst-16341 25 3 , , PUNCT ajst-16341 25 4 zeng zeng PROPN ajst-16341 25 5 used use VERB ajst-16341 25 6 three three NUM ajst-16341 25 7 types type NOUN ajst-16341 25 8 of of ADP ajst-16341 25 9 cubic cubic ADJ ajst-16341 25 10 arrays array NOUN ajst-16341 25 11 of of ADP ajst-16341 25 12 intersecting intersecting ADJ ajst-16341 25 13 square square ADJ ajst-16341 25 14 bars bar NOUN ajst-16341 25 15 , , PUNCT ajst-16341 25 16 intersecting intersecting ADJ ajst-16341 25 17 column column NOUN ajst-16341 25 18 bars bar NOUN ajst-16341 25 19 , , PUNCT ajst-16341 25 20 and and CCONJ ajst-16341 25 21 intersecting intersect VERB ajst-16341 25 22 spheres sphere NOUN ajst-16341 25 23 to to PART ajst-16341 25 24 characterize characterize VERB ajst-16341 25 25 the the DET ajst-16341 25 26 structure structure NOUN ajst-16341 25 27 of of ADP ajst-16341 25 28 silica silica NOUN ajst-16341 25 29 aerogel[16 aerogel[16 PROPN ajst-16341 25 30 ] ] PUNCT ajst-16341 25 31 . . PUNCT ajst-16341 26 1 wei wei PROPN ajst-16341 26 2 used use VERB ajst-16341 26 3 the the DET ajst-16341 26 4 intersecting intersecting ADJ ajst-16341 26 5 spheres sphere NOUN ajst-16341 26 6 proposed propose VERB ajst-16341 26 7 by by ADP ajst-16341 26 8 zeng[16 zeng[16 PROPN ajst-16341 26 9 ] ] X ajst-16341 26 10 cubic cubic ADJ ajst-16341 26 11 arrays array VERB ajst-16341 26 12 to to PART ajst-16341 26 13 analyze analyze VERB ajst-16341 26 14 the the DET ajst-16341 26 15 structural structural ADJ ajst-16341 26 16 models model NOUN ajst-16341 26 17 of of ADP ajst-16341 26 18 silica silica NOUN ajst-16341 26 19 aerogels aerogel NOUN ajst-16341 26 20 , , PUNCT ajst-16341 26 21 hard hard ADJ ajst-16341 26 22 calcium calcium NOUN ajst-16341 26 23 silicate silicate NOUN ajst-16341 26 24 , , PUNCT ajst-16341 26 25 and and CCONJ ajst-16341 26 26 hard hard ADJ ajst-16341 26 27 calcium calcium NOUN ajst-16341 26 28 silicate silicate NOUN ajst-16341 26 29 aerogels aerogel NOUN ajst-16341 26 30 , , PUNCT ajst-16341 26 31 and and CCONJ ajst-16341 26 32 then then ADV ajst-16341 26 33 the the DET ajst-16341 26 34 equivalent equivalent ADJ ajst-16341 26 35 resistance resistance NOUN ajst-16341 26 36 method method NOUN ajst-16341 26 37 to to PART ajst-16341 26 38 obtain obtain VERB ajst-16341 26 39 the the DET ajst-16341 26 40 analytical analytical ADJ ajst-16341 26 41 expressions expression NOUN ajst-16341 26 42 for for ADP ajst-16341 26 43 their their PRON ajst-16341 26 44 effective effective ADJ ajst-16341 26 45 thermal thermal NOUN ajst-16341 26 46 conductivity[17 conductivity[17 NOUN ajst-16341 26 47 ] ] PUNCT ajst-16341 26 48 . . PUNCT ajst-16341 27 1 dan dan PROPN ajst-16341 27 2 proposed propose VERB ajst-16341 27 3 a a DET ajst-16341 27 4 new new ADJ ajst-16341 27 5 effective effective ADJ ajst-16341 27 6 model model NOUN ajst-16341 27 7 , , PUNCT ajst-16341 27 8 the the DET ajst-16341 27 9 spherical spherical ADJ ajst-16341 27 10 hollow hollow ADJ ajst-16341 27 11 cube cube NOUN ajst-16341 27 12 model model NOUN ajst-16341 27 13 , , PUNCT ajst-16341 27 14 based base VERB ajst-16341 27 15 on on ADP ajst-16341 27 16 the the DET ajst-16341 27 17 structure structure NOUN ajst-16341 27 18 of of ADP ajst-16341 27 19 aerogels aerogel NOUN ajst-16341 27 20 , , PUNCT ajst-16341 27 21 and and CCONJ ajst-16341 27 22 used use VERB ajst-16341 27 23 the the DET ajst-16341 27 24 equivalent equivalent ADJ ajst-16341 27 25 circuit circuit NOUN ajst-16341 27 26 method method NOUN ajst-16341 27 27 to to PART ajst-16341 27 28 deduce deduce VERB ajst-16341 27 29 the the DET ajst-16341 27 30 thermal thermal ADJ ajst-16341 27 31 conductivity conductivity NOUN ajst-16341 27 32 of of ADP ajst-16341 27 33 different different ADJ ajst-16341 27 34 types type NOUN ajst-16341 27 35 of of ADP ajst-16341 27 36 aerogels[18 aerogels[18 NOUN ajst-16341 27 37 ] ] PUNCT ajst-16341 27 38 . . PUNCT ajst-16341 28 1 the the DET ajst-16341 28 2 microstructure microstructure NOUN ajst-16341 28 3 is be AUX ajst-16341 28 4 used use VERB ajst-16341 28 5 to to PART ajst-16341 28 6 calculate calculate VERB ajst-16341 28 7 the the DET ajst-16341 28 8 thermal thermal ADJ ajst-16341 28 9 conductivity conductivity NOUN ajst-16341 28 10 of of ADP ajst-16341 28 11 aerogel aerogel NOUN ajst-16341 28 12 , , PUNCT ajst-16341 28 13 with with ADP ajst-16341 28 14 the the DET ajst-16341 28 15 advantages advantage NOUN ajst-16341 28 16 of of ADP ajst-16341 28 17 high high ADJ ajst-16341 28 18 accuracy accuracy NOUN ajst-16341 28 19 , , PUNCT ajst-16341 28 20 economic economic ADJ ajst-16341 28 21 effectiveness effectiveness NOUN ajst-16341 28 22 , , PUNCT ajst-16341 28 23 controllability controllability NOUN ajst-16341 28 24 , , PUNCT ajst-16341 28 25 and and CCONJ ajst-16341 28 26 scalability scalability NOUN ajst-16341 28 27 . . PUNCT ajst-16341 29 1 however however ADV ajst-16341 29 2 , , PUNCT ajst-16341 29 3 for for ADP ajst-16341 29 4 aerogel aerogel NOUN ajst-16341 29 5 materials material NOUN ajst-16341 29 6 with with ADP ajst-16341 29 7 different different ADJ ajst-16341 29 8 microstructures microstructure NOUN ajst-16341 29 9 , , PUNCT ajst-16341 29 10 the the DET ajst-16341 29 11 structural structural ADJ ajst-16341 29 12 parameters parameter NOUN ajst-16341 29 13 and and CCONJ ajst-16341 29 14 the the DET ajst-16341 29 15 impact impact NOUN ajst-16341 29 16 of of ADP ajst-16341 29 17 thermal thermal ADJ ajst-16341 29 18 properties property NOUN ajst-16341 29 19 ( ( PUNCT ajst-16341 29 20 gas gas NOUN ajst-16341 29 21 phase phase NOUN ajst-16341 29 22 and and CCONJ ajst-16341 29 23 solid solid ADJ ajst-16341 29 24 phase phase NOUN ajst-16341 29 25 thermal thermal ADJ ajst-16341 29 26 conductivity conductivity NOUN ajst-16341 29 27 ) ) PUNCT ajst-16341 29 28 on on ADP ajst-16341 29 29 the the DET ajst-16341 29 30 total total ADJ ajst-16341 29 31 thermal thermal ADJ ajst-16341 29 32 conductivity conductivity NOUN ajst-16341 29 33 of of ADP ajst-16341 29 34 materials material NOUN ajst-16341 29 35 should should AUX ajst-16341 29 36 be be AUX ajst-16341 29 37 determined determine VERB ajst-16341 29 38 , , PUNCT ajst-16341 29 39 and and CCONJ ajst-16341 29 40 different different ADJ ajst-16341 29 41 basic basic ADJ ajst-16341 29 42 structural structural ADJ ajst-16341 29 43 models model NOUN ajst-16341 29 44 should should AUX ajst-16341 29 45 be be AUX ajst-16341 29 46 built build VERB ajst-16341 29 47 . . PUNCT ajst-16341 30 1 156 156 NUM ajst-16341 30 2 fractal fractal ADJ ajst-16341 30 3 geometry geometry NOUN ajst-16341 30 4 theory theory NOUN ajst-16341 30 5 is be AUX ajst-16341 30 6 a a DET ajst-16341 30 7 mathematical mathematical ADJ ajst-16341 30 8 tool tool NOUN ajst-16341 30 9 used use VERB ajst-16341 30 10 to to PART ajst-16341 30 11 describe describe VERB ajst-16341 30 12 the the DET ajst-16341 30 13 repeatability repeatability NOUN ajst-16341 30 14 of of ADP ajst-16341 30 15 self self NOUN ajst-16341 30 16 - - PUNCT ajst-16341 30 17 similarity similarity NOUN ajst-16341 30 18 structures structure NOUN ajst-16341 30 19 at at ADP ajst-16341 30 20 different different ADJ ajst-16341 30 21 scales scale NOUN ajst-16341 30 22 . . PUNCT ajst-16341 31 1 remarkably remarkably ADV ajst-16341 31 2 , , PUNCT ajst-16341 31 3 compared compare VERB ajst-16341 31 4 with with ADP ajst-16341 31 5 the the DET ajst-16341 31 6 method method NOUN ajst-16341 31 7 of of ADP ajst-16341 31 8 constructing construct VERB ajst-16341 31 9 typical typical ADJ ajst-16341 31 10 structural structural ADJ ajst-16341 31 11 units unit NOUN ajst-16341 31 12 corresponding correspond VERB ajst-16341 31 13 to to ADP ajst-16341 31 14 the the DET ajst-16341 31 15 microstructure microstructure NOUN ajst-16341 31 16 of of ADP ajst-16341 31 17 aerogel aerogel NOUN ajst-16341 31 18 , , PUNCT ajst-16341 31 19 the the DET ajst-16341 31 20 fractal fractal ADJ ajst-16341 31 21 geometry geometry NOUN ajst-16341 31 22 theory theory NOUN ajst-16341 31 23 can can AUX ajst-16341 31 24 calculate calculate VERB ajst-16341 31 25 the the DET ajst-16341 31 26 thermal thermal ADJ ajst-16341 31 27 conductivity conductivity NOUN ajst-16341 31 28 of of ADP ajst-16341 31 29 porous porous ADJ ajst-16341 31 30 materials material NOUN ajst-16341 31 31 without without ADP ajst-16341 31 32 accurately accurately ADV ajst-16341 31 33 obtaining obtain VERB ajst-16341 31 34 the the DET ajst-16341 31 35 structural structural ADJ ajst-16341 31 36 parameters parameter NOUN ajst-16341 31 37 of of ADP ajst-16341 31 38 porous porous ADJ ajst-16341 31 39 materials material NOUN ajst-16341 31 40 . . PUNCT ajst-16341 32 1 the the DET ajst-16341 32 2 fractal fractal ADJ ajst-16341 32 3 geometry geometry NOUN ajst-16341 32 4 theory theory NOUN ajst-16341 32 5 is be AUX ajst-16341 32 6 a a DET ajst-16341 32 7 self self NOUN ajst-16341 32 8 - - PUNCT ajst-16341 32 9 similarity similarity NOUN ajst-16341 32 10 model model NOUN ajst-16341 32 11 , , PUNCT ajst-16341 32 12 which which PRON ajst-16341 32 13 aims aim VERB ajst-16341 32 14 to to PART ajst-16341 32 15 use use VERB ajst-16341 32 16 the the DET ajst-16341 32 17 iterative iterative NOUN ajst-16341 32 18 method method NOUN ajst-16341 32 19 to to PART ajst-16341 32 20 simulate simulate VERB ajst-16341 32 21 the the DET ajst-16341 32 22 internal internal ADJ ajst-16341 32 23 pore pore ADJ ajst-16341 32 24 structure structure NOUN ajst-16341 32 25 of of ADP ajst-16341 32 26 porous porous ADJ ajst-16341 32 27 materials material NOUN ajst-16341 32 28 and and CCONJ ajst-16341 32 29 establish establish VERB ajst-16341 32 30 the the DET ajst-16341 32 31 effective effective ADJ ajst-16341 32 32 thermal thermal ADJ ajst-16341 32 33 conductivity conductivity NOUN ajst-16341 32 34 of of ADP ajst-16341 32 35 porous porous ADJ ajst-16341 32 36 medium medium NOUN ajst-16341 32 37 , , PUNCT ajst-16341 32 38 with with ADP ajst-16341 32 39 less less ADJ ajst-16341 32 40 errors error NOUN ajst-16341 32 41 between between ADP ajst-16341 32 42 the the DET ajst-16341 32 43 model model NOUN ajst-16341 32 44 prediction prediction NOUN ajst-16341 32 45 results result NOUN ajst-16341 32 46 and and CCONJ ajst-16341 32 47 the the DET ajst-16341 32 48 experimental experimental ADJ ajst-16341 32 49 data datum NOUN ajst-16341 32 50 . . PUNCT ajst-16341 33 1 for for ADP ajst-16341 33 2 instance instance NOUN ajst-16341 33 3 , , PUNCT ajst-16341 33 4 pia pia PROPN ajst-16341 33 5 proposed propose VERB ajst-16341 33 6 a a DET ajst-16341 33 7 primitive primitive ADJ ajst-16341 33 8 mixed mixed ADJ ajst-16341 33 9 fractal fractal ADJ ajst-16341 33 10 model model NOUN ajst-16341 33 11 to to PART ajst-16341 33 12 predict predict VERB ajst-16341 33 13 the the DET ajst-16341 33 14 thermal thermal ADJ ajst-16341 33 15 conductivity conductivity NOUN ajst-16341 33 16 of of ADP ajst-16341 33 17 porous porous ADJ ajst-16341 33 18 ceramic ceramic ADJ ajst-16341 33 19 materials material NOUN ajst-16341 33 20 , , PUNCT ajst-16341 33 21 which which PRON ajst-16341 33 22 can can AUX ajst-16341 33 23 serve serve VERB ajst-16341 33 24 as as ADP ajst-16341 33 25 a a DET ajst-16341 33 26 microstructure microstructure ADJ ajst-16341 33 27 simulator simulator NOUN ajst-16341 33 28 to to PART ajst-16341 33 29 improve improve VERB ajst-16341 33 30 the the DET ajst-16341 33 31 thermal thermal ADJ ajst-16341 33 32 performance performance NOUN ajst-16341 33 33 of of ADP ajst-16341 33 34 porous porous ADJ ajst-16341 33 35 ceramic ceramic ADJ ajst-16341 33 36 materials[19 materials[19 NOUN ajst-16341 33 37 ] ] PUNCT ajst-16341 33 38 . . PUNCT ajst-16341 34 1 feng feng PROPN ajst-16341 34 2 and and CCONJ ajst-16341 34 3 ma ma PROPN ajst-16341 34 4 established establish VERB ajst-16341 34 5 a a DET ajst-16341 34 6 selfsimilarity selfsimilarity NOUN ajst-16341 34 7 model model NOUN ajst-16341 34 8 for for ADP ajst-16341 34 9 the the DET ajst-16341 34 10 effective effective ADJ ajst-16341 34 11 thermal thermal ADJ ajst-16341 34 12 conductivity conductivity NOUN ajst-16341 34 13 of of ADP ajst-16341 34 14 porous porous ADJ ajst-16341 34 15 medium medium NOUN ajst-16341 34 16 based base VERB ajst-16341 34 17 on on ADP ajst-16341 34 18 the the DET ajst-16341 34 19 thermoelectric thermoelectric ADJ ajst-16341 34 20 analogy analogy NOUN ajst-16341 34 21 technology technology NOUN ajst-16341 34 22 and and CCONJ ajst-16341 34 23 self self NOUN ajst-16341 34 24 - - PUNCT ajst-16341 34 25 similarity similarity NOUN ajst-16341 34 26 of of ADP ajst-16341 34 27 the the DET ajst-16341 34 28 sierpinski sierpinski ADJ ajst-16341 34 29 carpet carpet NOUN ajst-16341 34 30 , , PUNCT ajst-16341 34 31 whose whose DET ajst-16341 34 32 prediction prediction NOUN ajst-16341 34 33 agree agree VERB ajst-16341 34 34 well well ADV ajst-16341 34 35 with with ADP ajst-16341 34 36 the the DET ajst-16341 34 37 experimental experimental ADJ ajst-16341 34 38 data[20,21 data[20,21 NOUN ajst-16341 34 39 ] ] PUNCT ajst-16341 34 40 . . PUNCT ajst-16341 35 1 qu qu PROPN ajst-16341 35 2 established establish VERB ajst-16341 35 3 two two NUM ajst-16341 35 4 types type NOUN ajst-16341 35 5 of of ADP ajst-16341 35 6 fractal fractal ADJ ajst-16341 35 7 models model NOUN ajst-16341 35 8 , , PUNCT ajst-16341 35 9 namely namely ADV ajst-16341 35 10 , , PUNCT ajst-16341 35 11 parallel parallel ADJ ajst-16341 35 12 and and CCONJ ajst-16341 35 13 serial serial NOUN ajst-16341 35 14 , , PUNCT ajst-16341 35 15 which which PRON ajst-16341 35 16 intend intend VERB ajst-16341 35 17 to to PART ajst-16341 35 18 predict predict VERB ajst-16341 35 19 the the DET ajst-16341 35 20 effective effective ADJ ajst-16341 35 21 thermal thermal ADJ ajst-16341 35 22 conductivity conductivity NOUN ajst-16341 35 23 of of ADP ajst-16341 35 24 a a DET ajst-16341 35 25 new new ADJ ajst-16341 35 26 type type NOUN ajst-16341 35 27 of of ADP ajst-16341 35 28 autoclaved autoclave VERB ajst-16341 35 29 aerated aerate VERB ajst-16341 35 30 coagulation coagulation NOUN ajst-16341 35 31 ( ( PUNCT ajst-16341 35 32 aac)-based aac)-base VERB ajst-16341 35 33 composite composite ADJ ajst-16341 35 34 containing contain VERB ajst-16341 35 35 silica silica NOUN ajst-16341 35 36 aerogel aerogel NOUN ajst-16341 35 37 ( ( PUNCT ajst-16341 35 38 sa)[22 sa)[22 NOUN ajst-16341 35 39 ] ] PUNCT ajst-16341 35 40 . . PUNCT ajst-16341 36 1 li li PROPN ajst-16341 36 2 carried carry VERB ajst-16341 36 3 out out ADP ajst-16341 36 4 fractal fractal ADJ ajst-16341 36 5 analysis analysis NOUN ajst-16341 36 6 on on ADP ajst-16341 36 7 silica silica NOUN ajst-16341 36 8 aerogel aerogel NOUN ajst-16341 36 9 based base VERB ajst-16341 36 10 on on ADP ajst-16341 36 11 the the DET ajst-16341 36 12 statistical statistical ADJ ajst-16341 36 13 self self NOUN ajst-16341 36 14 - - PUNCT ajst-16341 36 15 similarity similarity NOUN ajst-16341 36 16 of of ADP ajst-16341 36 17 porous porous ADJ ajst-16341 36 18 medium medium NOUN ajst-16341 36 19 and and CCONJ ajst-16341 36 20 put put VERB ajst-16341 36 21 forward forward ADV ajst-16341 36 22 a a DET ajst-16341 36 23 fractal fractal ADJ ajst-16341 36 24 model model NOUN ajst-16341 36 25 of of ADP ajst-16341 36 26 effective effective ADJ ajst-16341 36 27 thermal thermal ADJ ajst-16341 36 28 conductivity conductivity NOUN ajst-16341 36 29 of of ADP ajst-16341 36 30 silica silica NOUN ajst-16341 36 31 gel gel NOUN ajst-16341 36 32 aerogel aerogel NOUN ajst-16341 36 33 in in ADP ajst-16341 36 34 light light NOUN ajst-16341 36 35 of of ADP ajst-16341 36 36 the the DET ajst-16341 36 37 distortion distortion NOUN ajst-16341 36 38 of of ADP ajst-16341 36 39 heat heat NOUN ajst-16341 36 40 transfer transfer NOUN ajst-16341 36 41 path path NOUN ajst-16341 36 42 and and CCONJ ajst-16341 36 43 the the DET ajst-16341 36 44 microstructure microstructure NOUN ajst-16341 36 45 of of ADP ajst-16341 36 46 secondary secondary ADJ ajst-16341 36 47 particles[23 particles[23 NOUN ajst-16341 36 48 ] ] PUNCT ajst-16341 36 49 . . PUNCT ajst-16341 37 1 the the DET ajst-16341 37 2 heat heat NOUN ajst-16341 37 3 conduction conduction NOUN ajst-16341 37 4 mechanism mechanism NOUN ajst-16341 37 5 of of ADP ajst-16341 37 6 aerogel aerogel NOUN ajst-16341 37 7 involves involve VERB ajst-16341 37 8 the the DET ajst-16341 37 9 heat heat NOUN ajst-16341 37 10 transfer transfer NOUN ajst-16341 37 11 of of ADP ajst-16341 37 12 gas gas NOUN ajst-16341 37 13 molecules molecule NOUN ajst-16341 37 14 in in ADP ajst-16341 37 15 the the DET ajst-16341 37 16 aerogel aerogel NOUN ajst-16341 37 17 pore pore ADJ ajst-16341 37 18 structure structure NOUN ajst-16341 37 19 . . PUNCT ajst-16341 38 1 traditional traditional ADJ ajst-16341 38 2 heat heat NOUN ajst-16341 38 3 conduction conduction NOUN ajst-16341 38 4 theories theory NOUN ajst-16341 38 5 often often ADV ajst-16341 38 6 assume assume VERB ajst-16341 38 7 that that SCONJ ajst-16341 38 8 aerogel aerogel NOUN ajst-16341 38 9 is be AUX ajst-16341 38 10 a a DET ajst-16341 38 11 homogeneous homogeneous ADJ ajst-16341 38 12 medium medium NOUN ajst-16341 38 13 , , PUNCT ajst-16341 38 14 ignoring ignore VERB ajst-16341 38 15 the the DET ajst-16341 38 16 influence influence NOUN ajst-16341 38 17 of of ADP ajst-16341 38 18 its its PRON ajst-16341 38 19 pore pore ADJ ajst-16341 38 20 network network NOUN ajst-16341 38 21 structure structure NOUN ajst-16341 38 22 on on ADP ajst-16341 38 23 heat heat NOUN ajst-16341 38 24 transfer transfer NOUN ajst-16341 38 25 . . PUNCT ajst-16341 39 1 the the DET ajst-16341 39 2 fractal fractal ADJ ajst-16341 39 3 geometry geometry NOUN ajst-16341 39 4 theory theory NOUN ajst-16341 39 5 can can AUX ajst-16341 39 6 effectively effectively ADV ajst-16341 39 7 portray portray VERB ajst-16341 39 8 the the DET ajst-16341 39 9 multifractal multifractal ADJ ajst-16341 39 10 structure structure NOUN ajst-16341 39 11 characteristics characteristic NOUN ajst-16341 39 12 of of ADP ajst-16341 39 13 aerogel aerogel NOUN ajst-16341 39 14 pore pore ADJ ajst-16341 39 15 network network NOUN ajst-16341 39 16 to to PART ajst-16341 39 17 more more ADV ajst-16341 39 18 accurately accurately ADV ajst-16341 39 19 describe describe VERB ajst-16341 39 20 its its PRON ajst-16341 39 21 thermal thermal ADJ ajst-16341 39 22 conductivity conductivity NOUN ajst-16341 39 23 . . PUNCT ajst-16341 40 1 therefore therefore ADV ajst-16341 40 2 , , PUNCT ajst-16341 40 3 fractal fractal ADJ ajst-16341 40 4 geometry geometry NOUN ajst-16341 40 5 theory theory NOUN ajst-16341 40 6 can can AUX ajst-16341 40 7 be be AUX ajst-16341 40 8 well well ADV ajst-16341 40 9 applied apply VERB ajst-16341 40 10 to to ADP ajst-16341 40 11 the the DET ajst-16341 40 12 field field NOUN ajst-16341 40 13 of of ADP ajst-16341 40 14 aerogel aerogel NOUN ajst-16341 40 15 materials material NOUN ajst-16341 40 16 . . PUNCT ajst-16341 41 1 in in ADP ajst-16341 41 2 our our PRON ajst-16341 41 3 previous previous ADJ ajst-16341 41 4 work work NOUN ajst-16341 41 5 , , PUNCT ajst-16341 41 6 we we PRON ajst-16341 41 7 select select VERB ajst-16341 41 8 the the DET ajst-16341 41 9 sierpinski sierpinski ADJ ajst-16341 41 10 carpet carpet NOUN ajst-16341 41 11 model model NOUN ajst-16341 41 12 to to PART ajst-16341 41 13 simulate simulate VERB ajst-16341 41 14 the the DET ajst-16341 41 15 pore pore ADJ ajst-16341 41 16 size size NOUN ajst-16341 41 17 distribution distribution NOUN ajst-16341 41 18 of of ADP ajst-16341 41 19 aramid aramid NOUN ajst-16341 41 20 nanofiber nanofiber NOUN ajst-16341 41 21 aerogel aerogel NOUN ajst-16341 41 22 ( ( PUNCT ajst-16341 41 23 anfa anfa ADV ajst-16341 41 24 ) ) PUNCT ajst-16341 41 25 and and CCONJ ajst-16341 41 26 obtain obtain VERB ajst-16341 41 27 the the DET ajst-16341 41 28 effective effective ADJ ajst-16341 41 29 thermal thermal ADJ ajst-16341 41 30 conductivity conductivity NOUN ajst-16341 41 31 of of ADP ajst-16341 41 32 anfa anfa ADV ajst-16341 41 33 through through ADP ajst-16341 41 34 the the DET ajst-16341 41 35 equivalent equivalent ADJ ajst-16341 41 36 thermal thermal ADJ ajst-16341 41 37 resistance resistance NOUN ajst-16341 41 38 method method NOUN ajst-16341 41 39 as as ADV ajst-16341 41 40 well well ADV ajst-16341 41 41 as as ADP ajst-16341 41 42 the the DET ajst-16341 41 43 results[24 results[24 NOUN ajst-16341 41 44 ] ] PUNCT ajst-16341 41 45 . . PUNCT ajst-16341 42 1 however however ADV ajst-16341 42 2 , , PUNCT ajst-16341 42 3 the the DET ajst-16341 42 4 3 3 NUM ajst-16341 42 5 3 3 NUM ajst-16341 42 6 small small ADJ ajst-16341 42 7 square square ADJ ajst-16341 42 8 units unit NOUN ajst-16341 42 9 constitute constitute VERB ajst-16341 42 10 temporarily temporarily ADV ajst-16341 42 11 the the DET ajst-16341 42 12 most most ADV ajst-16341 42 13 fundamental fundamental ADJ ajst-16341 42 14 sierpinski sierpinski ADJ ajst-16341 42 15 carpet carpet NOUN ajst-16341 42 16 , , PUNCT ajst-16341 42 17 whose whose DET ajst-16341 42 18 maximum maximum ADJ ajst-16341 42 19 porosity porosity NOUN ajst-16341 42 20 characterizing characterize VERB ajst-16341 42 21 the the DET ajst-16341 42 22 material material NOUN ajst-16341 42 23 is be AUX ajst-16341 42 24 only only ADV ajst-16341 42 25 0.8889[25 0.8889[25 PROPN ajst-16341 42 26 ] ] X ajst-16341 42 27 , , PUNCT ajst-16341 42 28 whereas whereas SCONJ ajst-16341 42 29 the the DET ajst-16341 42 30 porosity porosity NOUN ajst-16341 42 31 of of ADP ajst-16341 42 32 aerogel aerogel NOUN ajst-16341 42 33 is be AUX ajst-16341 42 34 generally generally ADV ajst-16341 42 35 above above ADP ajst-16341 42 36 0.9 0.9 NUM ajst-16341 42 37 . . PUNCT ajst-16341 43 1 during during ADP ajst-16341 43 2 testing test VERB ajst-16341 43 3 3 3 NUM ajst-16341 43 4 3 3 NUM ajst-16341 43 5 , , PUNCT ajst-16341 43 6 5 5 NUM ajst-16341 43 7 5 5 NUM ajst-16341 43 8 , , PUNCT ajst-16341 43 9 7 7 NUM ajst-16341 43 10 7 7 NUM ajst-16341 43 11 , , PUNCT ajst-16341 43 12 the the DET ajst-16341 43 13 thermal thermal ADJ ajst-16341 43 14 conductivity conductivity NOUN ajst-16341 43 15 of of ADP ajst-16341 43 16 porous porous ADJ ajst-16341 43 17 materials material NOUN ajst-16341 43 18 was be AUX ajst-16341 43 19 found find VERB ajst-16341 43 20 to to PART ajst-16341 43 21 be be AUX ajst-16341 43 22 influenced influence VERB ajst-16341 43 23 by by ADP ajst-16341 43 24 the the DET ajst-16341 43 25 basic basic ADJ ajst-16341 43 26 fractal fractal ADJ ajst-16341 43 27 unit unit NOUN ajst-16341 43 28 structure structure NOUN ajst-16341 43 29 when when SCONJ ajst-16341 43 30 using use VERB ajst-16341 43 31 different different ADJ ajst-16341 43 32 structures structure NOUN ajst-16341 43 33 of of ADP ajst-16341 43 34 sierpinski sierpinski ADJ ajst-16341 43 35 carpets carpet NOUN ajst-16341 43 36 with with ADP ajst-16341 43 37 fractal fractal ADJ ajst-16341 43 38 units unit NOUN ajst-16341 43 39 . . PUNCT ajst-16341 44 1 in in ADP ajst-16341 44 2 the the DET ajst-16341 44 3 previous previous ADJ ajst-16341 44 4 work work NOUN ajst-16341 44 5 , , PUNCT ajst-16341 44 6 the the DET ajst-16341 44 7 determination determination NOUN ajst-16341 44 8 of of ADP ajst-16341 44 9 the the DET ajst-16341 44 10 size size NOUN ajst-16341 44 11 of of ADP ajst-16341 44 12 the the DET ajst-16341 44 13 fractal fractal ADJ ajst-16341 44 14 unit unit NOUN ajst-16341 44 15 structure structure NOUN ajst-16341 44 16 is be AUX ajst-16341 44 17 subjective subjective ADJ ajst-16341 44 18 , , PUNCT ajst-16341 44 19 unequaled unequale VERB ajst-16341 44 20 for for ADP ajst-16341 44 21 extending extend VERB ajst-16341 44 22 to to ADP ajst-16341 44 23 other other ADJ ajst-16341 44 24 aerogel aerogel NOUN ajst-16341 44 25 materials material NOUN ajst-16341 44 26 . . PUNCT ajst-16341 45 1 therefore therefore ADV ajst-16341 45 2 , , PUNCT ajst-16341 45 3 selecting select VERB ajst-16341 45 4 the the DET ajst-16341 45 5 optimal optimal ADJ ajst-16341 45 6 size size NOUN ajst-16341 45 7 of of ADP ajst-16341 45 8 the the DET ajst-16341 45 9 fractal fractal ADJ ajst-16341 45 10 unit unit NOUN ajst-16341 45 11 is be AUX ajst-16341 45 12 an an DET ajst-16341 45 13 urgent urgent ADJ ajst-16341 45 14 research research NOUN ajst-16341 45 15 direction[26 direction[26 NOUN ajst-16341 45 16 ] ] PUNCT ajst-16341 45 17 . . PUNCT ajst-16341 46 1 in in ADP ajst-16341 46 2 previous previous ADJ ajst-16341 46 3 studies study NOUN ajst-16341 46 4 , , PUNCT ajst-16341 46 5 we we PRON ajst-16341 46 6 found find VERB ajst-16341 46 7 that that SCONJ ajst-16341 46 8 the the DET ajst-16341 46 9 sierpinski sierpinski ADJ ajst-16341 46 10 carpet carpet NOUN ajst-16341 46 11 model model NOUN ajst-16341 46 12 established establish VERB ajst-16341 46 13 by by ADP ajst-16341 46 14 some some DET ajst-16341 46 15 scholars scholar NOUN ajst-16341 46 16 are be AUX ajst-16341 46 17 not not PART ajst-16341 46 18 sufficient sufficient ADJ ajst-16341 46 19 for for ADP ajst-16341 46 20 the the DET ajst-16341 46 21 pore pore ADJ ajst-16341 46 22 channel channel NOUN ajst-16341 46 23 connectivity connectivity NOUN ajst-16341 46 24 of of ADP ajst-16341 46 25 aerogel aerogel NOUN ajst-16341 46 26 materials material NOUN ajst-16341 46 27 , , PUNCT ajst-16341 46 28 relying rely VERB ajst-16341 46 29 only only ADV ajst-16341 46 30 on on ADP ajst-16341 46 31 the the DET ajst-16341 46 32 gradual gradual ADJ ajst-16341 46 33 removal removal NOUN ajst-16341 46 34 of of ADP ajst-16341 46 35 solids solid NOUN ajst-16341 46 36 from from ADP ajst-16341 46 37 the the DET ajst-16341 46 38 fractal fractal ADJ ajst-16341 46 39 units[19 units[19 NOUN ajst-16341 46 40 - - PUNCT ajst-16341 46 41 26 26 NUM ajst-16341 46 42 ] ] PUNCT ajst-16341 46 43 . . PUNCT ajst-16341 47 1 such such ADJ ajst-16341 47 2 fractal fractal ADJ ajst-16341 47 3 unit unit NOUN ajst-16341 47 4 structure structure NOUN ajst-16341 47 5 can can AUX ajst-16341 47 6 only only ADV ajst-16341 47 7 be be AUX ajst-16341 47 8 optimized optimize VERB ajst-16341 47 9 to to ADP ajst-16341 47 10 a a DET ajst-16341 47 11 certain certain ADJ ajst-16341 47 12 extent extent NOUN ajst-16341 47 13 . . PUNCT ajst-16341 48 1 therefore therefore ADV ajst-16341 48 2 , , PUNCT ajst-16341 48 3 we we PRON ajst-16341 48 4 could could AUX ajst-16341 48 5 still still ADV ajst-16341 48 6 be be AUX ajst-16341 48 7 hard hard ADJ ajst-16341 48 8 press press NOUN ajst-16341 48 9 to to PART ajst-16341 48 10 optimize optimize VERB ajst-16341 48 11 the the DET ajst-16341 48 12 calculation calculation NOUN ajst-16341 48 13 model model NOUN ajst-16341 48 14 of of ADP ajst-16341 48 15 effective effective ADJ ajst-16341 48 16 thermal thermal ADJ ajst-16341 48 17 conductivity conductivity NOUN ajst-16341 48 18 through through ADP ajst-16341 48 19 a a DET ajst-16341 48 20 reasonable reasonable ADJ ajst-16341 48 21 fractal fractal ADJ ajst-16341 48 22 unit unit NOUN ajst-16341 48 23 structure structure NOUN ajst-16341 48 24 . . PUNCT ajst-16341 49 1 for for ADP ajst-16341 49 2 this this DET ajst-16341 49 3 reason reason NOUN ajst-16341 49 4 , , PUNCT ajst-16341 49 5 the the DET ajst-16341 49 6 fractal fractal ADJ ajst-16341 49 7 unit unit NOUN ajst-16341 49 8 structure structure NOUN ajst-16341 49 9 of of ADP ajst-16341 49 10 the the DET ajst-16341 49 11 sierpinski sierpinski ADJ ajst-16341 49 12 carpet carpet NOUN ajst-16341 49 13 prediction prediction NOUN ajst-16341 49 14 model model NOUN ajst-16341 49 15 is be AUX ajst-16341 49 16 modified modify VERB ajst-16341 49 17 and and CCONJ ajst-16341 49 18 polished polish VERB ajst-16341 49 19 3 3 NUM ajst-16341 49 20 3 3 NUM ajst-16341 49 21 , , PUNCT ajst-16341 49 22 in in ADP ajst-16341 49 23 terms term NOUN ajst-16341 49 24 of of ADP ajst-16341 49 25 the the DET ajst-16341 49 26 connection connection NOUN ajst-16341 49 27 of of ADP ajst-16341 49 28 pore pore ADJ ajst-16341 49 29 channels channel NOUN ajst-16341 49 30 of of ADP ajst-16341 49 31 aerogel aerogel NOUN ajst-16341 49 32 materials material NOUN ajst-16341 49 33 , , PUNCT ajst-16341 49 34 adopting adopt VERB ajst-16341 49 35 the the DET ajst-16341 49 36 form form NOUN ajst-16341 49 37 of of ADP ajst-16341 49 38 solid solid ADJ ajst-16341 49 39 filled fill VERB ajst-16341 49 40 in in ADP ajst-16341 49 41 gas gas NOUN ajst-16341 49 42 . . PUNCT ajst-16341 50 1 on on ADP ajst-16341 50 2 this this DET ajst-16341 50 3 basis basis NOUN ajst-16341 50 4 , , PUNCT ajst-16341 50 5 a a DET ajst-16341 50 6 fractal fractal ADJ ajst-16341 50 7 unit unit NOUN ajst-16341 50 8 structure structure NOUN ajst-16341 50 9 with with ADP ajst-16341 50 10 a a DET ajst-16341 50 11 size size NOUN ajst-16341 50 12 of of ADP ajst-16341 50 13 π‘˜ π‘˜ PRON ajst-16341 50 14 π‘˜ π‘˜ PRON ajst-16341 50 15 sierpinski sierpinski ADJ ajst-16341 50 16 carpet carpet NOUN ajst-16341 50 17 and and CCONJ ajst-16341 50 18 equivalent equivalent ADJ ajst-16341 50 19 circuit circuit NOUN ajst-16341 50 20 method method NOUN ajst-16341 50 21 were be AUX ajst-16341 50 22 applied apply VERB ajst-16341 50 23 to to ADP ajst-16341 50 24 the the DET ajst-16341 50 25 prediction prediction NOUN ajst-16341 50 26 model model NOUN ajst-16341 50 27 of of ADP ajst-16341 50 28 thermal thermal ADJ ajst-16341 50 29 conductivity conductivity NOUN ajst-16341 50 30 of of ADP ajst-16341 50 31 aerogel aerogel NOUN ajst-16341 50 32 . . PUNCT ajst-16341 51 1 in in ADP ajst-16341 51 2 addition addition NOUN ajst-16341 51 3 , , PUNCT ajst-16341 51 4 the the DET ajst-16341 51 5 optimal optimal ADJ ajst-16341 51 6 fractal fractal ADJ ajst-16341 51 7 unit unit NOUN ajst-16341 51 8 was be AUX ajst-16341 51 9 optimized optimize VERB ajst-16341 51 10 by by ADP ajst-16341 51 11 the the DET ajst-16341 51 12 minimum minimum ADJ ajst-16341 51 13 difference difference NOUN ajst-16341 51 14 between between ADP ajst-16341 51 15 the the DET ajst-16341 51 16 porosity porosity NOUN ajst-16341 51 17 after after ADP ajst-16341 51 18 sierpinski sierpinski ADJ ajst-16341 51 19 carpet carpet NOUN ajst-16341 51 20 iteration iteration NOUN ajst-16341 51 21 and and CCONJ ajst-16341 51 22 the the DET ajst-16341 51 23 actual actual ADJ ajst-16341 51 24 porosity porosity NOUN ajst-16341 51 25 , , PUNCT ajst-16341 51 26 thereby thereby ADV ajst-16341 51 27 selecting select VERB ajst-16341 51 28 the the DET ajst-16341 51 29 appropriate appropriate ADJ ajst-16341 51 30 fractal fractal ADJ ajst-16341 51 31 structure structure NOUN ajst-16341 51 32 to to PART ajst-16341 51 33 obtain obtain VERB ajst-16341 51 34 its its PRON ajst-16341 51 35 thermal thermal ADJ ajst-16341 51 36 conductivity conductivity NOUN ajst-16341 51 37 . . PUNCT ajst-16341 52 1 in in ADP ajst-16341 52 2 the the DET ajst-16341 52 3 application application NOUN ajst-16341 52 4 and and CCONJ ajst-16341 52 5 verification verification NOUN ajst-16341 52 6 of of ADP ajst-16341 52 7 thermal thermal ADJ ajst-16341 52 8 conductivity conductivity NOUN ajst-16341 52 9 prediction prediction NOUN ajst-16341 52 10 model model NOUN ajst-16341 52 11 , , PUNCT ajst-16341 52 12 we we PRON ajst-16341 52 13 substitute substitute VERB ajst-16341 52 14 four four NUM ajst-16341 52 15 types type NOUN ajst-16341 52 16 of of ADP ajst-16341 52 17 aerogel aerogel NOUN ajst-16341 52 18 sample sample NOUN ajst-16341 52 19 data datum NOUN ajst-16341 52 20 into into ADP ajst-16341 52 21 the the DET ajst-16341 52 22 proposed propose VERB ajst-16341 52 23 thermal thermal ADJ ajst-16341 52 24 conductivity conductivity NOUN ajst-16341 52 25 prediction prediction NOUN ajst-16341 52 26 model model NOUN ajst-16341 52 27 and and CCONJ ajst-16341 52 28 compare compare VERB ajst-16341 52 29 the the DET ajst-16341 52 30 error error NOUN ajst-16341 52 31 of of ADP ajst-16341 52 32 the the DET ajst-16341 52 33 model model NOUN ajst-16341 52 34 with with ADP ajst-16341 52 35 that that PRON ajst-16341 52 36 of of ADP ajst-16341 52 37 other other ADJ ajst-16341 52 38 scholars scholar NOUN ajst-16341 52 39 ’ ' PUNCT ajst-16341 52 40 thermal thermal ADJ ajst-16341 52 41 conductivity conductivity NOUN ajst-16341 52 42 prediction prediction NOUN ajst-16341 52 43 models model NOUN ajst-16341 52 44 . . PUNCT ajst-16341 53 1 therefore therefore ADV ajst-16341 53 2 , , PUNCT ajst-16341 53 3 the the DET ajst-16341 53 4 fractal fractal ADJ ajst-16341 53 5 unit unit NOUN ajst-16341 53 6 structure structure NOUN ajst-16341 53 7 π‘˜ π‘˜ ADP ajst-16341 53 8 π‘˜ π‘˜ PROPN ajst-16341 53 9 is be AUX ajst-16341 53 10 superior superior ADJ ajst-16341 53 11 than than ADP ajst-16341 53 12 the the DET ajst-16341 53 13 thermal thermal ADJ ajst-16341 53 14 conductivity conductivity NOUN ajst-16341 53 15 prediction prediction NOUN ajst-16341 53 16 model model NOUN ajst-16341 53 17 of of ADP ajst-16341 53 18 3 3 NUM ajst-16341 53 19 3 3 NUM ajst-16341 53 20 . . PUNCT ajst-16341 54 1 the the DET ajst-16341 54 2 research research NOUN ajst-16341 54 3 results result NOUN ajst-16341 54 4 indicate indicate VERB ajst-16341 54 5 that that SCONJ ajst-16341 54 6 π‘˜ π‘˜ PROPN ajst-16341 54 7 π‘˜ π‘˜ DET ajst-16341 54 8 sierpinski sierpinski ADJ ajst-16341 54 9 carpet carpet NOUN ajst-16341 54 10 model model NOUN ajst-16341 54 11 is be AUX ajst-16341 54 12 a a DET ajst-16341 54 13 creative creative ADJ ajst-16341 54 14 method method NOUN ajst-16341 54 15 to to PART ajst-16341 54 16 improve improve VERB ajst-16341 54 17 the the DET ajst-16341 54 18 accuracy accuracy NOUN ajst-16341 54 19 of of ADP ajst-16341 54 20 the the DET ajst-16341 54 21 model model NOUN ajst-16341 54 22 for for ADP ajst-16341 54 23 predicting predict VERB ajst-16341 54 24 the the DET ajst-16341 54 25 thermal thermal ADJ ajst-16341 54 26 conductivity conductivity NOUN ajst-16341 54 27 of of ADP ajst-16341 54 28 aerogel aerogel NOUN ajst-16341 54 29 materials material NOUN ajst-16341 54 30 and and CCONJ ajst-16341 54 31 provides provide VERB ajst-16341 54 32 more more ADJ ajst-16341 54 33 computational computational ADJ ajst-16341 54 34 model model NOUN ajst-16341 54 35 ideas idea NOUN ajst-16341 54 36 for for ADP ajst-16341 54 37 investigating investigate VERB ajst-16341 54 38 more more ADJ ajst-16341 54 39 thermal thermal ADJ ajst-16341 54 40 conductivity conductivity NOUN ajst-16341 54 41 of of ADP ajst-16341 54 42 other other ADJ ajst-16341 54 43 porous porous ADJ ajst-16341 54 44 materials material NOUN ajst-16341 54 45 . . PUNCT ajst-16341 55 1 2 2 X ajst-16341 55 2 . . X ajst-16341 55 3 establishment establishment NOUN ajst-16341 55 4 of of ADP ajst-16341 55 5 thermal thermal ADJ ajst-16341 55 6 conductivity conductivity NOUN ajst-16341 55 7 prediction prediction NOUN ajst-16341 55 8 model model NOUN ajst-16341 55 9 2.1 2.1 NUM ajst-16341 55 10 . . PUNCT ajst-16341 56 1 fractal fractal ADJ ajst-16341 56 2 process process NOUN ajst-16341 56 3 of of ADP ajst-16341 56 4 sierpinski sierpinski ADJ ajst-16341 56 5 carpet carpet NOUN ajst-16341 56 6 with with ADP ajst-16341 56 7 fractal fractal ADJ ajst-16341 56 8 unit unit NOUN ajst-16341 56 9 structure structure NOUN ajst-16341 56 10 of of ADP ajst-16341 56 11 π’Œ π’Œ PRON ajst-16341 56 12 π’Œ π’Œ INTJ ajst-16341 56 13 to to PART ajst-16341 56 14 find find VERB ajst-16341 56 15 the the DET ajst-16341 56 16 fractal fractal ADJ ajst-16341 56 17 unit unit NOUN ajst-16341 56 18 structure structure NOUN ajst-16341 56 19 suitable suitable ADJ ajst-16341 56 20 for for ADP ajst-16341 56 21 porous porous ADJ ajst-16341 56 22 medium medium ADJ ajst-16341 56 23 materials material NOUN ajst-16341 56 24 with with ADP ajst-16341 56 25 high high ADJ ajst-16341 56 26 porosity porosity NOUN ajst-16341 56 27 , , PUNCT ajst-16341 56 28 the the DET ajst-16341 56 29 most most ADV ajst-16341 56 30 fundamental fundamental ADJ ajst-16341 56 31 3 3 NUM ajst-16341 56 32 3 3 NUM ajst-16341 56 33 sierpinski sierpinski ADJ ajst-16341 56 34 carpet carpet NOUN ajst-16341 56 35 is be AUX ajst-16341 56 36 used use VERB ajst-16341 56 37 as as ADP ajst-16341 56 38 an an DET ajst-16341 56 39 extension extension NOUN ajst-16341 56 40 , , PUNCT ajst-16341 56 41 and and CCONJ ajst-16341 56 42 the the DET ajst-16341 56 43 π‘˜ π‘˜ X ajst-16341 56 44 π‘˜ π‘˜ PRON ajst-16341 56 45 sierpinski sierpinski ADJ ajst-16341 56 46 carpet carpet NOUN ajst-16341 56 47 composed compose VERB ajst-16341 56 48 of of ADP ajst-16341 56 49 fractal fractal ADJ ajst-16341 56 50 units unit NOUN ajst-16341 56 51 is be AUX ajst-16341 56 52 adopted adopt VERB ajst-16341 56 53 to to PART ajst-16341 56 54 characterize characterize VERB ajst-16341 56 55 porous porous ADJ ajst-16341 56 56 medium medium ADJ ajst-16341 56 57 materials material NOUN ajst-16341 56 58 . . PUNCT ajst-16341 57 1 the the DET ajst-16341 57 2 sierpinski sierpinski ADJ ajst-16341 57 3 carpet carpet NOUN ajst-16341 57 4 model model NOUN ajst-16341 57 5 ( ( PUNCT ajst-16341 57 6 denoted denote VERB ajst-16341 57 7 as as ADP ajst-16341 57 8 sc sc PROPN ajst-16341 57 9 ) ) PUNCT ajst-16341 57 10 is be AUX ajst-16341 57 11 obtained obtain VERB ajst-16341 57 12 by by ADP ajst-16341 57 13 repeatedly repeatedly ADV ajst-16341 57 14 removing remove VERB ajst-16341 57 15 the the DET ajst-16341 57 16 square square NOUN ajst-16341 57 17 from from ADP ajst-16341 57 18 the the DET ajst-16341 57 19 initial initial ADJ ajst-16341 57 20 square square NOUN ajst-16341 57 21 with with ADP ajst-16341 57 22 a a DET ajst-16341 57 23 unit unit NOUN ajst-16341 57 24 side side NOUN ajst-16341 57 25 length length NOUN ajst-16341 57 26 , , PUNCT ajst-16341 57 27 whose whose DET ajst-16341 57 28 iterative iterative NOUN ajst-16341 57 29 generation generation NOUN ajst-16341 57 30 description description NOUN ajst-16341 57 31 is be AUX ajst-16341 57 32 shown show VERB ajst-16341 57 33 in in ADP ajst-16341 57 34 figure figure NOUN ajst-16341 57 35 1 1 NUM ajst-16341 57 36 . . PUNCT ajst-16341 58 1 it it PRON ajst-16341 58 2 is be AUX ajst-16341 58 3 a a DET ajst-16341 58 4 square square NOUN ajst-16341 58 5 with with ADP ajst-16341 58 6 a a DET ajst-16341 58 7 side side NOUN ajst-16341 58 8 length length NOUN ajst-16341 58 9 of of ADP ajst-16341 58 10 l l NOUN ajst-16341 58 11 in in ADP ajst-16341 58 12 the the DET ajst-16341 58 13 initial initial ADJ ajst-16341 58 14 stage stage NOUN ajst-16341 58 15 , , PUNCT ajst-16341 58 16 and and CCONJ ajst-16341 58 17 a a DET ajst-16341 58 18 square square NOUN ajst-16341 58 19 with with ADP ajst-16341 58 20 a a DET ajst-16341 58 21 side side NOUN ajst-16341 58 22 length length NOUN ajst-16341 58 23 of of ADP ajst-16341 58 24 𝐢 𝐢 PROPN ajst-16341 58 25 is be AUX ajst-16341 58 26 removed remove VERB ajst-16341 58 27 from from ADP ajst-16341 58 28 its its PRON ajst-16341 58 29 center center NOUN ajst-16341 58 30 , , PUNCT ajst-16341 58 31 where where SCONJ ajst-16341 58 32 𝐢 𝐢 PROPN ajst-16341 58 33 1 1 NUM ajst-16341 58 34 and and CCONJ ajst-16341 58 35 𝐿 𝐿 PROPN ajst-16341 58 36 3 3 NUM ajst-16341 58 37 . . PUNCT ajst-16341 59 1 the the DET ajst-16341 59 2 black black ADJ ajst-16341 59 3 area area NOUN ajst-16341 59 4 includes include VERB ajst-16341 59 5 the the DET ajst-16341 59 6 remaining remain VERB ajst-16341 59 7 eight eight NUM ajst-16341 59 8 sub sub NOUN ajst-16341 59 9 squares square NOUN ajst-16341 59 10 with with ADP ajst-16341 59 11 unit unit NOUN ajst-16341 59 12 side side NOUN ajst-16341 59 13 length length NOUN ajst-16341 59 14 𝐢. 𝐢. PROPN ajst-16341 60 1 the the DET ajst-16341 60 2 first first ADJ ajst-16341 60 3 iteration iteration NOUN ajst-16341 60 4 is be AUX ajst-16341 60 5 completed complete VERB ajst-16341 60 6 by by ADP ajst-16341 60 7 removing remove VERB ajst-16341 60 8 the the DET ajst-16341 60 9 8𝐢 8𝐢 NOUN ajst-16341 60 10 sub sub NOUN ajst-16341 60 11 squares square NOUN ajst-16341 60 12 from from ADP ajst-16341 60 13 their their PRON ajst-16341 60 14 center center ADJ ajst-16341 60 15 sub sub NOUN ajst-16341 60 16 squares square NOUN ajst-16341 60 17 and and CCONJ ajst-16341 60 18 using use VERB ajst-16341 60 19 the the DET ajst-16341 60 20 initial initial ADJ ajst-16341 60 21 method method NOUN ajst-16341 60 22 to to PART ajst-16341 60 23 obtain obtain VERB ajst-16341 60 24 some some DET ajst-16341 60 25 smaller small ADJ ajst-16341 60 26 sub sub NOUN ajst-16341 60 27 squares square NOUN ajst-16341 60 28 with with ADP ajst-16341 60 29 unit unit NOUN ajst-16341 60 30 side side NOUN ajst-16341 60 31 length length NOUN ajst-16341 60 32 . . PUNCT ajst-16341 61 1 during during ADP ajst-16341 61 2 the the DET ajst-16341 61 3 second second ADJ ajst-16341 61 4 iteration iteration NOUN ajst-16341 61 5 , , PUNCT ajst-16341 61 6 we we PRON ajst-16341 61 7 continue continue VERB ajst-16341 61 8 to to PART ajst-16341 61 9 remove remove VERB ajst-16341 61 10 the the DET ajst-16341 61 11 centers center NOUN ajst-16341 61 12 of of ADP ajst-16341 61 13 these these DET ajst-16341 61 14 smaller small ADJ ajst-16341 61 15 sub sub NOUN ajst-16341 61 16 squares square NOUN ajst-16341 61 17 with with ADP ajst-16341 61 18 unit unit NOUN ajst-16341 61 19 side side NOUN ajst-16341 61 20 lengths length NOUN ajst-16341 61 21 , , PUNCT ajst-16341 61 22 and and CCONJ ajst-16341 61 23 the the DET ajst-16341 61 24 iterative iterative NOUN ajst-16341 61 25 process process NOUN ajst-16341 61 26 can can AUX ajst-16341 61 27 be be AUX ajst-16341 61 28 executed execute VERB ajst-16341 61 29 toward toward ADP ajst-16341 61 30 infinity infinity NOUN ajst-16341 61 31 . . PUNCT ajst-16341 62 1 figure figure NOUN ajst-16341 62 2 1 1 NUM ajst-16341 62 3 . . PUNCT ajst-16341 63 1 sierpinski sierpinski ADJ ajst-16341 63 2 carpet carpet NOUN ajst-16341 63 3 model model NOUN ajst-16341 63 4 this this DET ajst-16341 63 5 study study NOUN ajst-16341 63 6 only only ADV ajst-16341 63 7 considers consider VERB ajst-16341 63 8 sierpinski sierpinski ADJ ajst-16341 63 9 carpets carpet NOUN ajst-16341 63 10 composed compose VERB ajst-16341 63 11 of of ADP ajst-16341 63 12 odd odd ADJ ajst-16341 63 13 fractal fractal ADJ ajst-16341 63 14 units unit NOUN ajst-16341 63 15 due due ADJ ajst-16341 63 16 to to ADP ajst-16341 63 17 the the DET ajst-16341 63 18 diversity diversity NOUN ajst-16341 63 19 of of ADP ajst-16341 63 20 sierpinski sierpinski ADJ ajst-16341 63 21 carpets carpet NOUN ajst-16341 63 22 composed compose VERB ajst-16341 63 23 of of ADP ajst-16341 63 24 even even ADV ajst-16341 63 25 fractal fractal ADJ ajst-16341 63 26 units unit NOUN ajst-16341 63 27 . . PUNCT ajst-16341 64 1 when when SCONJ ajst-16341 64 2 π‘˜ π‘˜ PROPN ajst-16341 64 3 1 1 NUM ajst-16341 64 4 is be AUX ajst-16341 64 5 a a DET ajst-16341 64 6 positive positive ADJ ajst-16341 64 7 integer integer NOUN ajst-16341 64 8 and and CCONJ ajst-16341 64 9 an an DET ajst-16341 64 10 odd odd ADJ ajst-16341 64 11 number number NOUN ajst-16341 64 12 , , PUNCT ajst-16341 64 13 initially initially ADV ajst-16341 64 14 , , PUNCT ajst-16341 64 15 the the DET ajst-16341 64 16 sierpinski sierpinski ADJ ajst-16341 64 17 carpet carpet NOUN ajst-16341 64 18 composed compose VERB ajst-16341 64 19 of of ADP ajst-16341 64 20 π‘˜ π‘˜ PRON ajst-16341 64 21 π‘˜ π‘˜ DET ajst-16341 64 22 fractal fractal ADJ ajst-16341 64 23 units unit NOUN ajst-16341 64 24 is be AUX ajst-16341 64 25 a a DET ajst-16341 64 26 square square NOUN ajst-16341 64 27 with with ADP ajst-16341 64 28 a a DET ajst-16341 64 29 side side NOUN ajst-16341 64 30 length length NOUN ajst-16341 64 31 of of ADP ajst-16341 64 32 1 1 NUM ajst-16341 64 33 . . PUNCT ajst-16341 65 1 in in ADP ajst-16341 65 2 the the DET ajst-16341 65 3 first first ADJ ajst-16341 65 4 iteration iteration NOUN ajst-16341 65 5 , , PUNCT ajst-16341 65 6 the the DET ajst-16341 65 7 center center NOUN ajst-16341 65 8 of of ADP ajst-16341 65 9 the the DET ajst-16341 65 10 square square NOUN ajst-16341 65 11 with with ADP ajst-16341 65 12 a a DET ajst-16341 65 13 side side NOUN ajst-16341 65 14 157 157 NUM ajst-16341 65 15 length length NOUN ajst-16341 65 16 of of ADP ajst-16341 65 17 1 1 NUM ajst-16341 65 18 is be AUX ajst-16341 65 19 removed remove VERB ajst-16341 65 20 by by ADP ajst-16341 65 21 a a DET ajst-16341 65 22 square square NOUN ajst-16341 65 23 with with ADP ajst-16341 65 24 a a DET ajst-16341 65 25 side side NOUN ajst-16341 65 26 length length NOUN ajst-16341 65 27 of of ADP ajst-16341 65 28 1/π‘˜. 1/π‘˜. NUM ajst-16341 65 29 in in ADP ajst-16341 65 30 the the DET ajst-16341 65 31 second second ADJ ajst-16341 65 32 iteration iteration NOUN ajst-16341 65 33 , , PUNCT ajst-16341 65 34 according accord VERB ajst-16341 65 35 to to ADP ajst-16341 65 36 the the DET ajst-16341 65 37 former former ADJ ajst-16341 65 38 method method NOUN ajst-16341 65 39 in in ADP ajst-16341 65 40 the the DET ajst-16341 65 41 first first ADJ ajst-16341 65 42 iteration iteration NOUN ajst-16341 65 43 , , PUNCT ajst-16341 65 44 we we PRON ajst-16341 65 45 remove remove VERB ajst-16341 65 46 the the DET ajst-16341 65 47 remaining remain VERB ajst-16341 65 48 π‘˜ π‘˜ PRON ajst-16341 65 49 1 1 NUM ajst-16341 65 50 squares square NOUN ajst-16341 65 51 with with ADP ajst-16341 65 52 side side NOUN ajst-16341 65 53 lengths length NOUN ajst-16341 65 54 of of ADP ajst-16341 65 55 1/π‘˜ 1/π‘˜ NUM ajst-16341 65 56 by by ADP ajst-16341 65 57 substracting substracte VERB ajst-16341 65 58 their their PRON ajst-16341 65 59 center center ADJ ajst-16341 65 60 side side NOUN ajst-16341 65 61 lengths length NOUN ajst-16341 65 62 of of ADP ajst-16341 65 63 1/π‘˜ 1/π‘˜ NUM ajst-16341 65 64 . . PUNCT ajst-16341 66 1 therefore therefore ADV ajst-16341 66 2 , , PUNCT ajst-16341 66 3 the the DET ajst-16341 66 4 sierpinski sierpinski ADJ ajst-16341 66 5 carpet carpet NOUN ajst-16341 66 6 fractal fractal PROPN ajst-16341 66 7 unit unit NOUN ajst-16341 66 8 with with ADP ajst-16341 66 9 a a DET ajst-16341 66 10 fractal fractal ADJ ajst-16341 66 11 unit unit NOUN ajst-16341 66 12 structure structure NOUN ajst-16341 66 13 for for ADP ajst-16341 66 14 a a DET ajst-16341 66 15 π‘˜ π‘˜ PROPN ajst-16341 66 16 π‘˜ π‘˜ PROPN ajst-16341 66 17 is be AUX ajst-16341 66 18 shown show VERB ajst-16341 66 19 in in ADP ajst-16341 66 20 figure figure NOUN ajst-16341 66 21 2 2 NUM ajst-16341 66 22 , , PUNCT ajst-16341 66 23 where where SCONJ ajst-16341 66 24 the the DET ajst-16341 66 25 black black ADJ ajst-16341 66 26 area area NOUN ajst-16341 66 27 represents represent VERB ajst-16341 66 28 the the DET ajst-16341 66 29 area area NOUN ajst-16341 66 30 of of ADP ajst-16341 66 31 the the DET ajst-16341 66 32 solid solid ADJ ajst-16341 66 33 phase phase NOUN ajst-16341 66 34 ( ( PUNCT ajst-16341 66 35 porous porous ADJ ajst-16341 66 36 material material NOUN ajst-16341 66 37 skeleton skeleton NOUN ajst-16341 66 38 ) ) PUNCT ajst-16341 66 39 , , PUNCT ajst-16341 66 40 which which PRON ajst-16341 66 41 is be AUX ajst-16341 66 42 the the DET ajst-16341 66 43 removed removed ADJ ajst-16341 66 44 part part NOUN ajst-16341 66 45 . . PUNCT ajst-16341 67 1 the the DET ajst-16341 67 2 blank blank ADJ ajst-16341 67 3 area area NOUN ajst-16341 67 4 represents represent VERB ajst-16341 67 5 the the DET ajst-16341 67 6 gas gas NOUN ajst-16341 67 7 phase phase NOUN ajst-16341 67 8 ( ( PUNCT ajst-16341 67 9 pore pore ADJ ajst-16341 67 10 ) ) PUNCT ajst-16341 67 11 area area NOUN ajst-16341 67 12 , , PUNCT ajst-16341 67 13 which which PRON ajst-16341 67 14 is be AUX ajst-16341 67 15 a a DET ajst-16341 67 16 square square NOUN ajst-16341 67 17 with with ADP ajst-16341 67 18 a a DET ajst-16341 67 19 starting starting NOUN ajst-16341 67 20 edge edge NOUN ajst-16341 67 21 length length NOUN ajst-16341 67 22 of of ADP ajst-16341 67 23 1 1 NUM ajst-16341 67 24 . . PUNCT ajst-16341 67 25 figure figure NOUN ajst-16341 67 26 2 2 NUM ajst-16341 67 27 . . PUNCT ajst-16341 67 28 sierpinski sierpinski ADJ ajst-16341 67 29 carpet carpet NOUN ajst-16341 67 30 with with ADP ajst-16341 67 31 fractal fractal ADJ ajst-16341 67 32 unit unit NOUN ajst-16341 67 33 of of ADP ajst-16341 67 34 π‘˜ π‘˜ PROPN ajst-16341 67 35 π‘˜. π‘˜. NOUN ajst-16341 67 36 a a PRON ajst-16341 67 37 ) ) PUNCT ajst-16341 67 38 basic basic ADJ ajst-16341 67 39 fractal fractal ADJ ajst-16341 67 40 unit unit NOUN ajst-16341 67 41 , , PUNCT ajst-16341 67 42 which which PRON ajst-16341 67 43 is be AUX ajst-16341 67 44 a a DET ajst-16341 67 45 square square NOUN ajst-16341 67 46 with with ADP ajst-16341 67 47 a a DET ajst-16341 67 48 side side NOUN ajst-16341 67 49 length length NOUN ajst-16341 67 50 of of ADP ajst-16341 67 51 1 1 NUM ajst-16341 67 52 ; ; PUNCT ajst-16341 67 53 b b X ajst-16341 67 54 ) ) PUNCT ajst-16341 67 55 fractal fractal ADJ ajst-16341 67 56 unit unit NOUN ajst-16341 67 57 after after ADP ajst-16341 67 58 the the DET ajst-16341 67 59 first first ADJ ajst-16341 67 60 iteration iteration NOUN ajst-16341 67 61 ; ; PUNCT ajst-16341 67 62 c c X ajst-16341 67 63 ) ) PUNCT ajst-16341 67 64 fractal fractal ADJ ajst-16341 67 65 unit unit NOUN ajst-16341 67 66 after after ADP ajst-16341 67 67 the the DET ajst-16341 67 68 second second ADJ ajst-16341 67 69 iteration iteration NOUN ajst-16341 67 70 . . PUNCT ajst-16341 68 1 here here ADV ajst-16341 68 2 , , PUNCT ajst-16341 68 3 π‘˜ π‘˜ PROPN ajst-16341 68 4 here here ADV ajst-16341 68 5 is be AUX ajst-16341 68 6 an an DET ajst-16341 68 7 uncertain uncertain ADJ ajst-16341 68 8 constant constant ADJ ajst-16341 68 9 , , PUNCT ajst-16341 68 10 signifying signify VERB ajst-16341 68 11 a a DET ajst-16341 68 12 positive positive ADJ ajst-16341 68 13 integer integer NOUN ajst-16341 68 14 greater great ADJ ajst-16341 68 15 than than ADP ajst-16341 68 16 1 1 NUM ajst-16341 68 17 and and CCONJ ajst-16341 68 18 an an DET ajst-16341 68 19 odd odd ADJ ajst-16341 68 20 number number NOUN ajst-16341 68 21 . . PUNCT ajst-16341 69 1 this this DET ajst-16341 69 2 paper paper NOUN ajst-16341 69 3 only only ADV ajst-16341 69 4 take take VERB ajst-16341 69 5 the the DET ajst-16341 69 6 structural structural ADJ ajst-16341 69 7 properties property NOUN ajst-16341 69 8 of of ADP ajst-16341 69 9 aerogel aerogel NOUN ajst-16341 69 10 materials material NOUN ajst-16341 69 11 into into ADP ajst-16341 69 12 account account NOUN ajst-16341 69 13 , , PUNCT ajst-16341 69 14 without without ADP ajst-16341 69 15 considering consider VERB ajst-16341 69 16 the the DET ajst-16341 69 17 effect effect NOUN ajst-16341 69 18 of of ADP ajst-16341 69 19 thermal thermal ADJ ajst-16341 69 20 radiation radiation NOUN ajst-16341 69 21 on on ADP ajst-16341 69 22 materials material NOUN ajst-16341 69 23 at at ADP ajst-16341 69 24 high high ADJ ajst-16341 69 25 temperature temperature NOUN ajst-16341 69 26 . . PUNCT ajst-16341 70 1 2.2 2.2 NUM ajst-16341 70 2 . . PUNCT ajst-16341 70 3 establishment establishment NOUN ajst-16341 70 4 of of ADP ajst-16341 70 5 thermal thermal ADJ ajst-16341 70 6 conductivity conductivity NOUN ajst-16341 70 7 model model NOUN ajst-16341 70 8 based base VERB ajst-16341 70 9 on on ADP ajst-16341 70 10 equivalent equivalent ADJ ajst-16341 70 11 resistance resistance NOUN ajst-16341 70 12 method method NOUN ajst-16341 70 13 the the DET ajst-16341 70 14 equivalent equivalent ADJ ajst-16341 70 15 resistance resistance NOUN ajst-16341 70 16 diagrams diagram NOUN ajst-16341 70 17 were be AUX ajst-16341 70 18 obtained obtain VERB ajst-16341 70 19 using use VERB ajst-16341 70 20 the the DET ajst-16341 70 21 equivalent equivalent ADJ ajst-16341 70 22 resistance resistance NOUN ajst-16341 70 23 method method NOUN ajst-16341 70 24 to to PART ajst-16341 70 25 establish establish VERB ajst-16341 70 26 the the DET ajst-16341 70 27 thermal thermal ADJ ajst-16341 70 28 resistance resistance NOUN ajst-16341 70 29 network network NOUN ajst-16341 70 30 model model NOUN ajst-16341 70 31 of of ADP ajst-16341 70 32 the the DET ajst-16341 70 33 basic basic ADJ ajst-16341 70 34 fractal fractal ADJ ajst-16341 70 35 units unit NOUN ajst-16341 70 36 on on ADP ajst-16341 70 37 the the DET ajst-16341 70 38 surface surface NOUN ajst-16341 70 39 and and CCONJ ajst-16341 70 40 inside inside ADP ajst-16341 70 41 the the DET ajst-16341 70 42 aerogel aerogel NOUN ajst-16341 70 43 . . PUNCT ajst-16341 71 1 on on ADP ajst-16341 71 2 the the DET ajst-16341 71 3 basis basis NOUN ajst-16341 71 4 of of ADP ajst-16341 71 5 the the DET ajst-16341 71 6 π‘˜ π‘˜ X ajst-16341 71 7 π‘˜ π‘˜ DET ajst-16341 71 8 fractal fractal ADJ ajst-16341 71 9 unit unit NOUN ajst-16341 71 10 structure structure NOUN ajst-16341 71 11 sierpinski sierpinski VERB ajst-16341 71 12 carpet carpet NOUN ajst-16341 71 13 on on ADP ajst-16341 71 14 the the DET ajst-16341 71 15 first first ADJ ajst-16341 71 16 step step NOUN ajst-16341 71 17 , , PUNCT ajst-16341 71 18 its its PRON ajst-16341 71 19 equivalent equivalent ADJ ajst-16341 71 20 resistance resistance NOUN ajst-16341 71 21 diagram diagram NOUN ajst-16341 71 22 can can AUX ajst-16341 71 23 be be AUX ajst-16341 71 24 drawn draw VERB ajst-16341 71 25 as as SCONJ ajst-16341 71 26 follows follow VERB ajst-16341 71 27 figure figure NOUN ajst-16341 71 28 3 3 NUM ajst-16341 71 29 : : PUNCT ajst-16341 71 30 figure figure NOUN ajst-16341 71 31 3 3 NUM ajst-16341 71 32 . . PUNCT ajst-16341 71 33 fractal fractal ADJ ajst-16341 71 34 unit unit NOUN ajst-16341 71 35 structure structure NOUN ajst-16341 71 36 of of ADP ajst-16341 71 37 a a DET ajst-16341 71 38 first first ADJ ajst-16341 71 39 - - PUNCT ajst-16341 71 40 order order NOUN ajst-16341 71 41 π‘˜ π‘˜ ADP ajst-16341 71 42 π‘˜ π‘˜ NOUN ajst-16341 71 43 and and CCONJ ajst-16341 71 44 equivalent equivalent ADJ ajst-16341 71 45 resistance resistance NOUN ajst-16341 71 46 diagram diagram NOUN ajst-16341 71 47 of of ADP ajst-16341 71 48 the the DET ajst-16341 71 49 first first ADJ ajst-16341 71 50 order order NOUN ajst-16341 71 51 sierpinski sierpinski ADJ ajst-16341 71 52 carpet carpet NOUN ajst-16341 71 53 according accord VERB ajst-16341 71 54 to to ADP ajst-16341 71 55 the the DET ajst-16341 71 56 π‘˜ π‘˜ X ajst-16341 71 57 π‘˜ π‘˜ DET ajst-16341 71 58 fractal fractal ADJ ajst-16341 71 59 unit unit NOUN ajst-16341 71 60 structure structure NOUN ajst-16341 71 61 of of ADP ajst-16341 71 62 sierpinski sierpinski ADJ ajst-16341 71 63 carpet carpet NOUN ajst-16341 71 64 and and CCONJ ajst-16341 71 65 equivalent equivalent ADJ ajst-16341 71 66 resistance resistance NOUN ajst-16341 71 67 diagram diagram NOUN ajst-16341 71 68 in in ADP ajst-16341 71 69 order order NOUN ajst-16341 71 70 1 1 NUM ajst-16341 71 71 , , PUNCT ajst-16341 71 72 we we PRON ajst-16341 71 73 assume assume VERB ajst-16341 71 74 that that SCONJ ajst-16341 71 75 οΏ½ οΏ½ PROPN ajst-16341 71 76 Μ„ Μ„ PROPN ajst-16341 71 77 οΏ½ οΏ½ PROPN ajst-16341 71 78 is be AUX ajst-16341 71 79 conductivity conductivity NOUN ajst-16341 71 80 , , PUNCT ajst-16341 71 81 and and CCONJ ajst-16341 71 82 𝑅 𝑅 PROPN ajst-16341 71 83 is be AUX ajst-16341 71 84 the the DET ajst-16341 71 85 average average ADJ ajst-16341 71 86 resistance[18 resistance[18 NOUN ajst-16341 71 87 ] ] PUNCT ajst-16341 71 88 . . PUNCT ajst-16341 72 1 according accord VERB ajst-16341 72 2 to to ADP ajst-16341 72 3 the the DET ajst-16341 72 4 calculation calculation NOUN ajst-16341 72 5 formula formula NOUN ajst-16341 72 6 of of ADP ajst-16341 72 7 parallel parallel ADJ ajst-16341 72 8 resistance resistance NOUN ajst-16341 72 9 , , PUNCT ajst-16341 72 10 the the DET ajst-16341 72 11 following follow VERB ajst-16341 72 12 can can AUX ajst-16341 72 13 be be AUX ajst-16341 72 14 concluded conclude VERB ajst-16341 72 15 : : PUNCT ajst-16341 72 16 οΏ½ οΏ½ PROPN ajst-16341 72 17 Μ„ Μ„ NOUN ajst-16341 72 18 οΏ½ οΏ½ PROPN ajst-16341 72 19 1 1 NUM ajst-16341 72 20 𝑅 𝑅 PROPN ajst-16341 72 21 1 1 NUM ajst-16341 72 22 𝑅 𝑅 PROPN ajst-16341 72 23 1 1 NUM ajst-16341 72 24 𝑅 𝑅 PROPN ajst-16341 72 25 β‹― β‹― ADP ajst-16341 72 26 1 1 NUM ajst-16341 72 27 𝑅 𝑅 PROPN ajst-16341 72 28 1 1 NUM ajst-16341 72 29 according accord VERB ajst-16341 72 30 to to ADP ajst-16341 72 31 the the DET ajst-16341 72 32 formula formula NOUN ajst-16341 72 33 for for ADP ajst-16341 72 34 calculating calculate VERB ajst-16341 72 35 series series NOUN ajst-16341 72 36 resistances resistance NOUN ajst-16341 72 37 , , PUNCT ajst-16341 72 38 the the DET ajst-16341 72 39 following follow VERB ajst-16341 72 40 can can AUX ajst-16341 72 41 be be AUX ajst-16341 72 42 inferred infer VERB ajst-16341 72 43 : : PUNCT ajst-16341 72 44 𝑅 𝑅 PROPN ajst-16341 72 45 𝑅 𝑅 PROPN ajst-16341 72 46 β‹― β‹― PROPN ajst-16341 72 47 𝑅 𝑅 PROPN ajst-16341 72 48 𝑅 𝑅 PROPN ajst-16341 72 49 β‹― β‹― PROPN ajst-16341 72 50 𝑅 𝑅 PROPN ajst-16341 72 51 𝑅 𝑅 PROPN ajst-16341 72 52 𝑅 𝑅 PROPN ajst-16341 72 53 β‹― β‹― PROPN ajst-16341 72 54 𝑅 𝑅 PROPN ajst-16341 72 55 π‘˜ π‘˜ PROPN ajst-16341 72 56 β‹… β‹… PROPN ajst-16341 72 57 𝑅 𝑅 PROPN ajst-16341 72 58 𝑅 𝑅 PROPN ajst-16341 72 59 𝑅 𝑅 PROPN ajst-16341 72 60 𝑅 𝑅 PROPN ajst-16341 72 61 β‹― β‹― PROPN ajst-16341 72 62 𝑅 𝑅 PROPN ajst-16341 72 63 𝑅 𝑅 PROPN ajst-16341 72 64 β‹― β‹― PROPN ajst-16341 72 65 𝑅 𝑅 PROPN ajst-16341 72 66 π‘˜ π‘˜ PROPN ajst-16341 72 67 1 1 NUM ajst-16341 72 68 β‹… β‹… PROPN ajst-16341 72 69 𝑅 𝑅 PROPN ajst-16341 72 70 𝑅 𝑅 PROPN ajst-16341 72 71 2 2 NUM ajst-16341 72 72 by by ADP ajst-16341 72 73 combining combine VERB ajst-16341 72 74 formulas formula NOUN ajst-16341 72 75 ( ( PUNCT ajst-16341 72 76 1 1 NUM ajst-16341 72 77 ) ) PUNCT ajst-16341 72 78 and and CCONJ ajst-16341 72 79 ( ( PUNCT ajst-16341 72 80 2 2 NUM ajst-16341 72 81 ) ) PUNCT ajst-16341 72 82 , , PUNCT ajst-16341 72 83 the the DET ajst-16341 72 84 following follow VERB ajst-16341 72 85 can can AUX ajst-16341 72 86 be be AUX ajst-16341 72 87 reached reach VERB ajst-16341 72 88 obtained obtain VERB ajst-16341 72 89 : : PUNCT ajst-16341 72 90 οΏ½ οΏ½ PROPN ajst-16341 72 91 Μ„ Μ„ NOUN ajst-16341 72 92 οΏ½ οΏ½ PROPN ajst-16341 73 1 π‘˜ π‘˜ ADP ajst-16341 73 2 1 1 NUM ajst-16341 73 3 π‘˜ π‘˜ DET ajst-16341 73 4 β‹… β‹… PROPN ajst-16341 73 5 𝑅 𝑅 PROPN ajst-16341 73 6 1 1 NUM ajst-16341 73 7 π‘˜ π‘˜ DET ajst-16341 73 8 1 1 NUM ajst-16341 73 9 β‹… β‹… PROPN ajst-16341 73 10 𝑅 𝑅 PROPN ajst-16341 73 11 𝑅 𝑅 PROPN ajst-16341 73 12 3 3 NUM ajst-16341 73 13 according accord VERB ajst-16341 73 14 to to ADP ajst-16341 73 15 the the DET ajst-16341 73 16 equivalent equivalent ADJ ajst-16341 73 17 resistance resistance NOUN ajst-16341 73 18 method method NOUN ajst-16341 73 19 , , PUNCT ajst-16341 73 20 as as SCONJ ajst-16341 73 21 follows follow VERB ajst-16341 73 22 : : PUNCT ajst-16341 73 23 𝑅 𝑅 PROPN ajst-16341 73 24 𝑅 𝑅 PROPN ajst-16341 73 25 β‹… β‹… PROPN ajst-16341 73 26 𝑙 𝑙 PROPN ajst-16341 73 27 𝛼 𝛼 NOUN ajst-16341 73 28 4 4 NUM ajst-16341 73 29 where where SCONJ ajst-16341 73 30 𝑅 𝑅 PROPN ajst-16341 73 31 is be AUX ajst-16341 73 32 the the DET ajst-16341 73 33 β€œ " PUNCT ajst-16341 73 34 total total ADJ ajst-16341 73 35 ” " PUNCT ajst-16341 73 36 resistance resistance NOUN ajst-16341 73 37 , , PUNCT ajst-16341 73 38 𝑅 𝑅 PROPN ajst-16341 73 39 is be AUX ajst-16341 73 40 the the DET ajst-16341 73 41 gas gas NOUN ajst-16341 73 42 resistance resistance NOUN ajst-16341 73 43 , , PUNCT ajst-16341 73 44 𝑅 𝑅 PROPN ajst-16341 73 45 is be AUX ajst-16341 73 46 the the DET ajst-16341 73 47 solid solid ADJ ajst-16341 73 48 resistance resistance NOUN ajst-16341 73 49 , , PUNCT ajst-16341 73 50 𝑙 𝑙 PRON ajst-16341 73 51 is be AUX ajst-16341 73 52 the the DET ajst-16341 73 53 length length NOUN ajst-16341 73 54 of of ADP ajst-16341 73 55 porous porous ADJ ajst-16341 73 56 medium medium ADJ ajst-16341 73 57 material material NOUN ajst-16341 73 58 , , PUNCT ajst-16341 73 59 and and CCONJ ajst-16341 73 60 𝛼 𝛼 X ajst-16341 73 61 is be AUX ajst-16341 73 62 the the DET ajst-16341 73 63 cross cross ADJ ajst-16341 73 64 - - ADJ ajst-16341 73 65 sectional sectional ADJ ajst-16341 73 66 area area NOUN ajst-16341 73 67 in in ADP ajst-16341 73 68 general general ADJ ajst-16341 73 69 . . PUNCT ajst-16341 74 1 by by ADP ajst-16341 74 2 substituting substitute VERB ajst-16341 74 3 formula formula NOUN ajst-16341 74 4 ( ( PUNCT ajst-16341 74 5 4 4 NUM ajst-16341 74 6 ) ) PUNCT ajst-16341 74 7 into into ADP ajst-16341 74 8 formula formula NOUN ajst-16341 74 9 ( ( PUNCT ajst-16341 74 10 3 3 NUM ajst-16341 74 11 ) ) PUNCT ajst-16341 74 12 and and CCONJ ajst-16341 74 13 assuming assume VERB ajst-16341 74 14 that that SCONJ ajst-16341 74 15 each each DET ajst-16341 74 16 unit unit NOUN ajst-16341 74 17 resistance resistance NOUN ajst-16341 74 18 is be AUX ajst-16341 74 19 the the DET ajst-16341 74 20 same same ADJ ajst-16341 74 21 , , PUNCT ajst-16341 74 22 we we PRON ajst-16341 74 23 can can AUX ajst-16341 74 24 obtain obtain VERB ajst-16341 74 25 : : PUNCT ajst-16341 74 26 1 1 NUM ajst-16341 74 27 𝑅 𝑅 PROPN ajst-16341 74 28 β‹… β‹… PROPN ajst-16341 74 29 𝑙 𝑙 X ajst-16341 74 30 𝛼 𝛼 NOUN ajst-16341 74 31 π‘˜ π‘˜ PROPN ajst-16341 74 32 1 1 NUM ajst-16341 74 33 π‘˜ π‘˜ PRON ajst-16341 74 34 β‹… β‹… PROPN ajst-16341 74 35 𝑅 𝑅 PROPN ajst-16341 74 36 β‹… β‹… PROPN ajst-16341 74 37 𝑙 𝑙 PROPN ajst-16341 74 38 𝛼 𝛼 PROPN ajst-16341 74 39 1 1 NUM ajst-16341 74 40 π‘˜ π‘˜ DET ajst-16341 74 41 1 1 NUM ajst-16341 74 42 β‹… β‹… PROPN ajst-16341 74 43 𝑅 𝑅 PROPN ajst-16341 74 44 β‹… β‹… PROPN ajst-16341 74 45 𝑙 𝑙 PROPN ajst-16341 74 46 𝛼 𝛼 PROPN ajst-16341 74 47 𝑅 𝑅 PROPN ajst-16341 74 48 β‹… β‹… PROPN ajst-16341 74 49 𝑙 𝑙 PROPN ajst-16341 74 50 𝛼 𝛼 X ajst-16341 74 51 5 5 NUM ajst-16341 74 52 namely namely ADV ajst-16341 74 53 , , PUNCT ajst-16341 74 54 158 158 NUM ajst-16341 74 55 1 1 NUM ajst-16341 74 56 𝑅 𝑅 PROPN ajst-16341 74 57 π‘˜ π‘˜ PROPN ajst-16341 74 58 1 1 NUM ajst-16341 74 59 π‘˜ π‘˜ PRON ajst-16341 74 60 β‹… β‹… PROPN ajst-16341 74 61 𝑅 𝑅 PROPN ajst-16341 74 62 1 1 NUM ajst-16341 74 63 π‘˜ π‘˜ DET ajst-16341 74 64 1 1 NUM ajst-16341 74 65 β‹… β‹… PROPN ajst-16341 74 66 𝑅 𝑅 PROPN ajst-16341 74 67 𝑅 𝑅 PROPN ajst-16341 74 68 6 6 NUM ajst-16341 74 69 the the DET ajst-16341 74 70 relationship relationship NOUN ajst-16341 74 71 between between ADP ajst-16341 74 72 thermal thermal ADJ ajst-16341 74 73 conductivity conductivity NOUN ajst-16341 74 74 and and CCONJ ajst-16341 74 75 resistance resistance NOUN ajst-16341 74 76 indicates indicate VERB ajst-16341 74 77 the the DET ajst-16341 74 78 following following NOUN ajst-16341 74 79 : : PUNCT ajst-16341 74 80 π‘˜ π‘˜ DET ajst-16341 74 81 1 1 NUM ajst-16341 74 82 𝑅 𝑅 PROPN ajst-16341 74 83 7 7 NUM ajst-16341 74 84 substituting substituting NOUN ajst-16341 74 85 formula formula NOUN ajst-16341 74 86 ( ( PUNCT ajst-16341 74 87 7 7 NUM ajst-16341 74 88 ) ) PUNCT ajst-16341 74 89 into into ADP ajst-16341 74 90 formula formula NOUN ajst-16341 74 91 ( ( PUNCT ajst-16341 74 92 6 6 NUM ajst-16341 74 93 ) ) PUNCT ajst-16341 74 94 yields yield VERB ajst-16341 74 95 the the DET ajst-16341 74 96 following following NOUN ajst-16341 74 97 : : PUNCT ajst-16341 74 98 1 1 NUM ajst-16341 74 99 1 1 NUM ajst-16341 74 100 π‘˜ π‘˜ PRON ajst-16341 74 101 π‘˜ π‘˜ DET ajst-16341 74 102 1 1 NUM ajst-16341 74 103 π‘˜ π‘˜ PRON ajst-16341 74 104 β‹… β‹… PROPN ajst-16341 74 105 1 1 NUM ajst-16341 74 106 π‘˜ π‘˜ DET ajst-16341 74 107 1 1 NUM ajst-16341 74 108 π‘˜ π‘˜ DET ajst-16341 74 109 1 1 NUM ajst-16341 74 110 β‹… β‹… PROPN ajst-16341 74 111 1 1 NUM ajst-16341 74 112 π‘˜ π‘˜ DET ajst-16341 74 113 1 1 NUM ajst-16341 74 114 π‘˜ π‘˜ DET ajst-16341 74 115 8 8 NUM ajst-16341 74 116 the the DET ajst-16341 74 117 thermal thermal ADJ ajst-16341 74 118 conductivity conductivity NOUN ajst-16341 74 119 model model NOUN ajst-16341 74 120 of of ADP ajst-16341 74 121 the the DET ajst-16341 74 122 first first ADJ ajst-16341 74 123 - - PUNCT ajst-16341 74 124 order order NOUN ajst-16341 74 125 sierpinski sierpinski ADJ ajst-16341 74 126 carpet carpet NOUN ajst-16341 74 127 based base VERB ajst-16341 74 128 on on ADP ajst-16341 74 129 the the DET ajst-16341 74 130 equivalent equivalent ADJ ajst-16341 74 131 resistance resistance NOUN ajst-16341 74 132 method method NOUN ajst-16341 74 133 can can AUX ajst-16341 74 134 be be AUX ajst-16341 74 135 derived derive VERB ajst-16341 74 136 as as SCONJ ajst-16341 74 137 follows follow VERB ajst-16341 74 138 : : PUNCT ajst-16341 74 139 π‘˜ π‘˜ PRON ajst-16341 74 140 π‘˜ π‘˜ PROPN ajst-16341 74 141 1 1 NUM ajst-16341 74 142 π‘˜ π‘˜ PRON ajst-16341 74 143 π‘˜ π‘˜ X ajst-16341 74 144 π‘˜ π‘˜ PRON ajst-16341 74 145 β‹… β‹… PROPN ajst-16341 74 146 π‘˜ π‘˜ PROPN ajst-16341 74 147 π‘˜ π‘˜ DET ajst-16341 74 148 1 1 NUM ajst-16341 74 149 β‹… β‹… PROPN ajst-16341 74 150 π‘˜ π‘˜ PROPN ajst-16341 74 151 π‘˜ π‘˜ PRON ajst-16341 74 152 9 9 NUM ajst-16341 74 153 where where SCONJ ajst-16341 74 154 π‘˜ π‘˜ PROPN ajst-16341 74 155 represents represent VERB ajst-16341 74 156 the the DET ajst-16341 74 157 thermal thermal ADJ ajst-16341 74 158 conductivity conductivity NOUN ajst-16341 74 159 of of ADP ajst-16341 74 160 the the DET ajst-16341 74 161 first first ADJ ajst-16341 74 162 - - PUNCT ajst-16341 74 163 order order NOUN ajst-16341 74 164 π‘˜ π‘˜ X ajst-16341 74 165 π‘˜ π‘˜ DET ajst-16341 74 166 sierpinski sierpinski ADJ ajst-16341 74 167 carpet carpet NOUN ajst-16341 74 168 calculated calculate VERB ajst-16341 74 169 based base VERB ajst-16341 74 170 on on ADP ajst-16341 74 171 the the DET ajst-16341 74 172 equivalent equivalent ADJ ajst-16341 74 173 resistance resistance NOUN ajst-16341 74 174 method method NOUN ajst-16341 74 175 , , PUNCT ajst-16341 74 176 π‘˜ π‘˜ PROPN ajst-16341 74 177 represents represent VERB ajst-16341 74 178 the the DET ajst-16341 74 179 solid solid ADJ ajst-16341 74 180 phase phase NOUN ajst-16341 74 181 thermal thermal ADJ ajst-16341 74 182 conductivity conductivity NOUN ajst-16341 74 183 , , PUNCT ajst-16341 74 184 and and CCONJ ajst-16341 74 185 π‘˜ π‘˜ PROPN ajst-16341 74 186 represents represent VERB ajst-16341 74 187 the the DET ajst-16341 74 188 gas gas NOUN ajst-16341 74 189 phase phase NOUN ajst-16341 74 190 thermal thermal ADJ ajst-16341 74 191 conductivity conductivity NOUN ajst-16341 74 192 . . PUNCT ajst-16341 75 1 to to PART ajst-16341 75 2 achieve achieve VERB ajst-16341 75 3 an an DET ajst-16341 75 4 overall overall ADJ ajst-16341 75 5 porosity porosity NOUN ajst-16341 75 6 abysmally abysmally ADV ajst-16341 75 7 that that PRON ajst-16341 75 8 is be AUX ajst-16341 75 9 close close ADJ ajst-16341 75 10 to to ADP ajst-16341 75 11 the the DET ajst-16341 75 12 actual actual ADJ ajst-16341 75 13 porosity porosity NOUN ajst-16341 75 14 of of ADP ajst-16341 75 15 porous porous ADJ ajst-16341 75 16 medium medium ADJ ajst-16341 75 17 materials material NOUN ajst-16341 75 18 πœ™ πœ™ NOUN ajst-16341 75 19 , , PUNCT ajst-16341 75 20 we we PRON ajst-16341 75 21 iterated iterate VERB ajst-16341 75 22 the the DET ajst-16341 75 23 basic basic ADJ ajst-16341 75 24 fractal fractal ADJ ajst-16341 75 25 unit unit NOUN ajst-16341 75 26 of of ADP ajst-16341 75 27 the the DET ajst-16341 75 28 sierpinski sierpinski ADJ ajst-16341 75 29 carpet carpet NOUN ajst-16341 75 30 periodically periodically ADV ajst-16341 75 31 . . PUNCT ajst-16341 76 1 it it PRON ajst-16341 76 2 should should AUX ajst-16341 76 3 be be AUX ajst-16341 76 4 noted note VERB ajst-16341 76 5 that that SCONJ ajst-16341 76 6 the the DET ajst-16341 76 7 aerogel aerogel NOUN ajst-16341 76 8 materials material NOUN ajst-16341 76 9 in in ADP ajst-16341 76 10 this this DET ajst-16341 76 11 paper paper NOUN ajst-16341 76 12 are be AUX ajst-16341 76 13 all all PRON ajst-16341 76 14 of of ADP ajst-16341 76 15 high high ADJ ajst-16341 76 16 porosity porosity NOUN ajst-16341 76 17 structure structure NOUN ajst-16341 76 18 , , PUNCT ajst-16341 76 19 so so CCONJ ajst-16341 76 20 the the DET ajst-16341 76 21 influence influence NOUN ajst-16341 76 22 of of ADP ajst-16341 76 23 solid solid ADJ ajst-16341 76 24 part part NOUN ajst-16341 76 25 on on ADP ajst-16341 76 26 overall overall ADJ ajst-16341 76 27 thermal thermal ADJ ajst-16341 76 28 conductivity conductivity NOUN ajst-16341 76 29 can can AUX ajst-16341 76 30 be be AUX ajst-16341 76 31 properly properly ADV ajst-16341 76 32 ignored ignore VERB ajst-16341 76 33 . . PUNCT ajst-16341 77 1 after after ADP ajst-16341 77 2 the the DET ajst-16341 77 3 iteration iteration NOUN ajst-16341 77 4 , , PUNCT ajst-16341 77 5 the the DET ajst-16341 77 6 first first ADJ ajst-16341 77 7 basic basic ADJ ajst-16341 77 8 fractal fractal ADJ ajst-16341 77 9 unit unit NOUN ajst-16341 77 10 is be AUX ajst-16341 77 11 not not PART ajst-16341 77 12 only only ADV ajst-16341 77 13 a a DET ajst-16341 77 14 part part NOUN ajst-16341 77 15 of of ADP ajst-16341 77 16 the the DET ajst-16341 77 17 next next ADJ ajst-16341 77 18 stage stage NOUN ajst-16341 77 19 of of ADP ajst-16341 77 20 fractal fractal ADJ ajst-16341 77 21 modeling modeling NOUN ajst-16341 77 22 , , PUNCT ajst-16341 77 23 but but CCONJ ajst-16341 77 24 also also ADV ajst-16341 77 25 of of ADP ajst-16341 77 26 β€œ " PUNCT ajst-16341 77 27 gas gas NOUN ajst-16341 77 28 . . PUNCT ajst-16341 77 29 ” " PUNCT ajst-16341 78 1 therefore therefore ADV ajst-16341 78 2 , , PUNCT ajst-16341 78 3 π‘˜ π‘˜ PRON ajst-16341 78 4 is be AUX ajst-16341 78 5 equal equal ADJ ajst-16341 78 6 to to ADP ajst-16341 78 7 the the DET ajst-16341 78 8 previously previously ADV ajst-16341 78 9 calculated calculate VERB ajst-16341 78 10 π‘˜ π‘˜ X ajst-16341 78 11 . . PUNCT ajst-16341 79 1 the the DET ajst-16341 79 2 value value NOUN ajst-16341 79 3 of of ADP ajst-16341 79 4 π‘˜ π‘˜ PRON ajst-16341 79 5 calculated calculate VERB ajst-16341 79 6 in in ADP ajst-16341 79 7 the the DET ajst-16341 79 8 𝑛th 𝑛th VERB ajst-16341 79 9 iteration iteration NOUN ajst-16341 79 10 will will AUX ajst-16341 79 11 be be AUX ajst-16341 79 12 inserted insert VERB ajst-16341 79 13 into into ADP ajst-16341 79 14 step step NOUN ajst-16341 79 15 𝑛 𝑛 DET ajst-16341 79 16 1 1 NUM ajst-16341 79 17 by by ADP ajst-16341 79 18 using use VERB ajst-16341 79 19 the the DET ajst-16341 79 20 same same ADJ ajst-16341 79 21 simple simple ADJ ajst-16341 79 22 expression expression NOUN ajst-16341 79 23 , , PUNCT ajst-16341 79 24 serving serve VERB ajst-16341 79 25 as as ADP ajst-16341 79 26 the the DET ajst-16341 79 27 new new ADJ ajst-16341 79 28 value value NOUN ajst-16341 79 29 for for ADP ajst-16341 79 30 the the DET ajst-16341 79 31 β€œ " PUNCT ajst-16341 79 32 gas gas NOUN ajst-16341 79 33 phase phase NOUN ajst-16341 79 34 ” " PUNCT ajst-16341 79 35 conductivity[24 conductivity[24 PROPN ajst-16341 79 36 ] ] PUNCT ajst-16341 79 37 , , PUNCT ajst-16341 79 38 as as SCONJ ajst-16341 79 39 follows follow VERB ajst-16341 79 40 : : PUNCT ajst-16341 79 41 π‘˜ π‘˜ ADP ajst-16341 79 42 𝑛 𝑛 ADP ajst-16341 79 43 π‘˜ π‘˜ PRON ajst-16341 79 44 𝑛 𝑛 DET ajst-16341 79 45 1 1 NUM ajst-16341 79 46 10 10 NUM ajst-16341 79 47 then then ADV ajst-16341 79 48 , , PUNCT ajst-16341 79 49 the the DET ajst-16341 79 50 heat heat NOUN ajst-16341 79 51 conduction conduction NOUN ajst-16341 79 52 model model NOUN ajst-16341 79 53 of of ADP ajst-16341 79 54 the the DET ajst-16341 79 55 porous porous ADJ ajst-16341 79 56 medium medium NOUN ajst-16341 79 57 is be AUX ajst-16341 79 58 based base VERB ajst-16341 79 59 on on ADP ajst-16341 79 60 the the DET ajst-16341 79 61 equivalent equivalent ADJ ajst-16341 79 62 resistance resistance NOUN ajst-16341 79 63 method method NOUN ajst-16341 79 64 , , PUNCT ajst-16341 79 65 and and CCONJ ajst-16341 79 66 the the DET ajst-16341 79 67 π‘˜ π‘˜ X ajst-16341 79 68 π‘˜ π‘˜ PRON ajst-16341 79 69 sierpinski sierpinski ADJ ajst-16341 79 70 carpet carpet NOUN ajst-16341 79 71 with with ADP ajst-16341 79 72 fractal fractal ADJ ajst-16341 79 73 unit unit NOUN ajst-16341 79 74 structure structure NOUN ajst-16341 79 75 is be AUX ajst-16341 79 76 as as SCONJ ajst-16341 79 77 follows follow VERB ajst-16341 79 78 : : PUNCT ajst-16341 79 79 π‘˜ π‘˜ ADP ajst-16341 79 80 𝑛 𝑛 ADP ajst-16341 79 81 π‘˜ π‘˜ X ajst-16341 79 82 𝑛 𝑛 PRON ajst-16341 79 83 1 1 NUM ajst-16341 79 84 π‘˜ π‘˜ DET ajst-16341 79 85 1 1 NUM ajst-16341 79 86 π‘˜ π‘˜ PRON ajst-16341 79 87 π‘˜ π‘˜ PRON ajst-16341 79 88 𝑛 𝑛 PRON ajst-16341 79 89 π‘˜ π‘˜ DET ajst-16341 79 90 β‹… β‹… PROPN ajst-16341 79 91 π‘˜ π‘˜ X ajst-16341 79 92 𝑛 𝑛 PRON ajst-16341 79 93 π‘˜ π‘˜ DET ajst-16341 79 94 β‹… β‹… PROPN ajst-16341 79 95 π‘˜ π‘˜ PROPN ajst-16341 79 96 π‘˜ π‘˜ PRON ajst-16341 79 97 𝑛 𝑛 PROPN ajst-16341 79 98 11 11 NUM ajst-16341 79 99 where where SCONJ ajst-16341 79 100 π‘˜ π‘˜ NOUN ajst-16341 79 101 𝑛 𝑛 PROPN ajst-16341 79 102 represents represent VERB ajst-16341 79 103 the the DET ajst-16341 79 104 thermal thermal ADJ ajst-16341 79 105 conductivity conductivity NOUN ajst-16341 79 106 of of ADP ajst-16341 79 107 the the DET ajst-16341 79 108 porous porous ADJ ajst-16341 79 109 medium medium NOUN ajst-16341 79 110 predicted predict VERB ajst-16341 79 111 by by ADP ajst-16341 79 112 the the DET ajst-16341 79 113 π‘˜ π‘˜ PROPN ajst-16341 79 114 π‘˜ π‘˜ PRON ajst-16341 79 115 sierpinski sierpinski ADJ ajst-16341 79 116 carpet carpet NOUN ajst-16341 79 117 with with ADP ajst-16341 79 118 fractal fractal ADJ ajst-16341 79 119 unit unit NOUN ajst-16341 79 120 structure structure NOUN ajst-16341 79 121 in in ADP ajst-16341 79 122 the the DET ajst-16341 79 123 nth nth NOUN ajst-16341 79 124 iteration iteration NOUN ajst-16341 79 125 , , PUNCT ajst-16341 79 126 π‘˜ π‘˜ PRON ajst-16341 79 127 𝑛 𝑛 PRON ajst-16341 79 128 1 1 NUM ajst-16341 79 129 represents represent VERB ajst-16341 79 130 the the DET ajst-16341 79 131 gas gas NOUN ajst-16341 79 132 thermal thermal ADJ ajst-16341 79 133 conductivity conductivity NOUN ajst-16341 79 134 calculated calculate VERB ajst-16341 79 135 by by ADP ajst-16341 79 136 the the DET ajst-16341 79 137 𝑛 𝑛 PRON ajst-16341 79 138 1th 1th ADJ ajst-16341 79 139 iteration iteration NOUN ajst-16341 79 140 , , PUNCT ajst-16341 79 141 and and CCONJ ajst-16341 79 142 π‘˜ π‘˜ PROPN ajst-16341 79 143 represents represent VERB ajst-16341 79 144 the the DET ajst-16341 79 145 solid solid ADJ ajst-16341 79 146 thermal thermal ADJ ajst-16341 79 147 conductivity conductivity NOUN ajst-16341 79 148 . . PUNCT ajst-16341 80 1 2.3 2.3 NUM ajst-16341 80 2 . . PUNCT ajst-16341 80 3 optimization optimization NOUN ajst-16341 80 4 of of ADP ajst-16341 80 5 the the DET ajst-16341 80 6 best good ADJ ajst-16341 80 7 fractal fractal ADJ ajst-16341 80 8 unit unit NOUN ajst-16341 80 9 structure structure NOUN ajst-16341 80 10 sierpinski sierpinski ADJ ajst-16341 80 11 carpet carpet NOUN ajst-16341 80 12 is be AUX ajst-16341 80 13 an an DET ajst-16341 80 14 internal internal ADJ ajst-16341 80 15 microscopic microscopic ADJ ajst-16341 80 16 material material NOUN ajst-16341 80 17 used use VERB ajst-16341 80 18 to to PART ajst-16341 80 19 characterize characterize VERB ajst-16341 80 20 porous porous ADJ ajst-16341 80 21 medium medium ADJ ajst-16341 80 22 materials material NOUN ajst-16341 80 23 ; ; PUNCT ajst-16341 80 24 it it PRON ajst-16341 80 25 is be AUX ajst-16341 80 26 constructed construct VERB ajst-16341 80 27 from from ADP ajst-16341 80 28 porosity porosity NOUN ajst-16341 80 29 . . PUNCT ajst-16341 81 1 when when SCONJ ajst-16341 81 2 a a DET ajst-16341 81 3 more more ADV ajst-16341 81 4 precise precise ADJ ajst-16341 81 5 porosity porosity NOUN ajst-16341 81 6 of of ADP ajst-16341 81 7 sierpinski sierpinski ADJ ajst-16341 81 8 carpet carpet NOUN ajst-16341 81 9 approaches approach VERB ajst-16341 81 10 the the DET ajst-16341 81 11 porosity porosity NOUN ajst-16341 81 12 of of ADP ajst-16341 81 13 porous porous ADJ ajst-16341 81 14 medium medium ADJ ajst-16341 81 15 materials material NOUN ajst-16341 81 16 , , PUNCT ajst-16341 81 17 perfect perfect ADJ ajst-16341 81 18 characterization characterization NOUN ajst-16341 81 19 effect effect NOUN ajst-16341 81 20 is be AUX ajst-16341 81 21 shown show VERB ajst-16341 81 22 . . PUNCT ajst-16341 82 1 therefore therefore ADV ajst-16341 82 2 , , PUNCT ajst-16341 82 3 we we PRON ajst-16341 82 4 use use VERB ajst-16341 82 5 the the DET ajst-16341 82 6 difference difference NOUN ajst-16341 82 7 between between ADP ajst-16341 82 8 the the DET ajst-16341 82 9 porosity porosity NOUN ajst-16341 82 10 after after ADP ajst-16341 82 11 the the DET ajst-16341 82 12 sierpinski sierpinski ADJ ajst-16341 82 13 carpet carpet NOUN ajst-16341 82 14 iteration iteration NOUN ajst-16341 82 15 and and CCONJ ajst-16341 82 16 the the DET ajst-16341 82 17 actual actual ADJ ajst-16341 82 18 porosity porosity NOUN ajst-16341 82 19 to to PART ajst-16341 82 20 optimize optimize VERB ajst-16341 82 21 the the DET ajst-16341 82 22 optimal optimal ADJ ajst-16341 82 23 fractal fractal ADJ ajst-16341 82 24 unit unit NOUN ajst-16341 82 25 . . PUNCT ajst-16341 83 1 when when SCONJ ajst-16341 83 2 the the DET ajst-16341 83 3 difference difference NOUN ajst-16341 83 4 is be AUX ajst-16341 83 5 small small ADJ ajst-16341 83 6 , , PUNCT ajst-16341 83 7 the the DET ajst-16341 83 8 internal internal ADJ ajst-16341 83 9 structure structure NOUN ajst-16341 83 10 of of ADP ajst-16341 83 11 the the DET ajst-16341 83 12 porous porous ADJ ajst-16341 83 13 medium medium NOUN ajst-16341 83 14 materials material NOUN ajst-16341 83 15 is be AUX ajst-16341 83 16 effectively effectively ADV ajst-16341 83 17 characterized characterize VERB ajst-16341 83 18 . . PUNCT ajst-16341 84 1 hence hence ADV ajst-16341 84 2 , , PUNCT ajst-16341 84 3 the the DET ajst-16341 84 4 thermal thermal ADJ ajst-16341 84 5 conductivity conductivity NOUN ajst-16341 84 6 calculated calculate VERB ajst-16341 84 7 by by ADP ajst-16341 84 8 the the DET ajst-16341 84 9 model model NOUN ajst-16341 84 10 is be AUX ajst-16341 84 11 accurate accurate ADJ ajst-16341 84 12 . . PUNCT ajst-16341 85 1 the the DET ajst-16341 85 2 appropriate appropriate ADJ ajst-16341 85 3 fractal fractal ADJ ajst-16341 85 4 structure structure NOUN ajst-16341 85 5 can can AUX ajst-16341 85 6 be be AUX ajst-16341 85 7 selected select VERB ajst-16341 85 8 in in ADP ajst-16341 85 9 light light NOUN ajst-16341 85 10 of of ADP ajst-16341 85 11 the the DET ajst-16341 85 12 porosity porosity NOUN ajst-16341 85 13 of of ADP ajst-16341 85 14 porous porous ADJ ajst-16341 85 15 medium medium ADJ ajst-16341 85 16 materials material NOUN ajst-16341 85 17 to to PART ajst-16341 85 18 achieve achieve VERB ajst-16341 85 19 its its PRON ajst-16341 85 20 thermal thermal ADJ ajst-16341 85 21 conductivity conductivity NOUN ajst-16341 85 22 . . PUNCT ajst-16341 86 1 assuming assume VERB ajst-16341 86 2 that that SCONJ ajst-16341 86 3 the the DET ajst-16341 86 4 actual actual ADJ ajst-16341 86 5 porosity porosity NOUN ajst-16341 86 6 of of ADP ajst-16341 86 7 a a DET ajst-16341 86 8 porous porous ADJ ajst-16341 86 9 medium medium ADJ ajst-16341 86 10 material material NOUN ajst-16341 86 11 is be AUX ajst-16341 86 12 πœ™ πœ™ NOUN ajst-16341 86 13 , , PUNCT ajst-16341 86 14 in in ADP ajst-16341 86 15 the the DET ajst-16341 86 16 π‘˜ π‘˜ X ajst-16341 86 17 π‘˜ π‘˜ PRON ajst-16341 86 18 sierpinski sierpinski ADJ ajst-16341 86 19 carpet carpet NOUN ajst-16341 86 20 with with ADP ajst-16341 86 21 iteration iteration NOUN ajst-16341 86 22 number number NOUN ajst-16341 86 23 of of ADP ajst-16341 86 24 1 1 NUM ajst-16341 86 25 , , PUNCT ajst-16341 86 26 the the DET ajst-16341 86 27 proportion proportion NOUN ajst-16341 86 28 of of ADP ajst-16341 86 29 solid solid ADJ ajst-16341 86 30 phase phase NOUN ajst-16341 86 31 is be AUX ajst-16341 86 32 1/π‘˜ 1/π‘˜ NUM ajst-16341 86 33 . . PUNCT ajst-16341 87 1 thus thus ADV ajst-16341 87 2 , , PUNCT ajst-16341 87 3 the the DET ajst-16341 87 4 pore pore ADJ ajst-16341 87 5 proportion proportion NOUN ajst-16341 87 6 is be AUX ajst-16341 87 7 as as SCONJ ajst-16341 87 8 follows follow VERB ajst-16341 87 9 : : PUNCT ajst-16341 87 10 πœ™ πœ™ PROPN ajst-16341 87 11 1 1 NUM ajst-16341 87 12 1 1 NUM ajst-16341 87 13 π‘˜ π‘˜ PRON ajst-16341 87 14 π‘˜ π‘˜ PRON ajst-16341 87 15 1 1 NUM ajst-16341 87 16 π‘˜ π‘˜ PRON ajst-16341 87 17 12 12 NUM ajst-16341 87 18 after after ADP ajst-16341 87 19 𝑛 𝑛 DET ajst-16341 87 20 iterations iteration NOUN ajst-16341 87 21 , , PUNCT ajst-16341 87 22 the the DET ajst-16341 87 23 porosity porosity NOUN ajst-16341 87 24 of of ADP ajst-16341 87 25 sierpinski sierpinski ADJ ajst-16341 87 26 carpet carpet NOUN ajst-16341 87 27 is be AUX ajst-16341 87 28 as as SCONJ ajst-16341 87 29 follows follow VERB ajst-16341 87 30 : : PUNCT ajst-16341 87 31 πœ™ πœ™ PROPN ajst-16341 87 32 π‘˜ π‘˜ PROPN ajst-16341 87 33 1 1 NUM ajst-16341 87 34 π‘˜ π‘˜ DET ajst-16341 87 35 13 13 NUM ajst-16341 87 36 suppose suppose VERB ajst-16341 87 37 that that SCONJ ajst-16341 87 38 the the DET ajst-16341 87 39 gap gap NOUN ajst-16341 87 40 between between ADP ajst-16341 87 41 the the DET ajst-16341 87 42 actual actual ADJ ajst-16341 87 43 porosity porosity NOUN ajst-16341 87 44 of of ADP ajst-16341 87 45 the the DET ajst-16341 87 46 sample sample NOUN ajst-16341 87 47 and and CCONJ ajst-16341 87 48 the the DET ajst-16341 87 49 porosity porosity NOUN ajst-16341 87 50 after after SCONJ ajst-16341 87 51 sierpinski sierpinski ADJ ajst-16341 87 52 carpet carpet NOUN ajst-16341 87 53 iteration iteration NOUN ajst-16341 87 54 is be AUX ajst-16341 87 55 𝑑 𝑑 NOUN ajst-16341 87 56 , , PUNCT ajst-16341 87 57 as as SCONJ ajst-16341 87 58 the the DET ajst-16341 87 59 following following NOUN ajst-16341 87 60 can can AUX ajst-16341 87 61 be be AUX ajst-16341 87 62 derived derive VERB ajst-16341 87 63 : : PUNCT ajst-16341 87 64 𝑑 𝑑 PART ajst-16341 87 65 πœ™ πœ™ NOUN ajst-16341 87 66 πœ™ πœ™ NOUN ajst-16341 87 67 πœ™ πœ™ X ajst-16341 87 68 π‘˜ π‘˜ PROPN ajst-16341 87 69 1 1 NUM ajst-16341 87 70 π‘˜ π‘˜ PRON ajst-16341 87 71 14 14 NUM ajst-16341 87 72 where where SCONJ ajst-16341 87 73 π‘˜ π‘˜ PROPN ajst-16341 87 74 1 1 NUM ajst-16341 87 75 is be AUX ajst-16341 87 76 a a DET ajst-16341 87 77 positive positive ADJ ajst-16341 87 78 integer integer NOUN ajst-16341 87 79 and and CCONJ ajst-16341 87 80 an an DET ajst-16341 87 81 odd odd ADJ ajst-16341 87 82 number number NOUN ajst-16341 87 83 , , PUNCT ajst-16341 87 84 𝑛 𝑛 PROPN ajst-16341 87 85 is be AUX ajst-16341 87 86 a a DET ajst-16341 87 87 positive positive ADJ ajst-16341 87 88 integer integer NOUN ajst-16341 87 89 , , PUNCT ajst-16341 87 90 πœ™ πœ™ PROPN ajst-16341 87 91 is be AUX ajst-16341 87 92 the the DET ajst-16341 87 93 actual actual ADJ ajst-16341 87 94 porosity porosity NOUN ajst-16341 87 95 of of ADP ajst-16341 87 96 the the DET ajst-16341 87 97 sample sample NOUN ajst-16341 87 98 , , PUNCT ajst-16341 87 99 and and CCONJ ajst-16341 87 100 πœ™ πœ™ NOUN ajst-16341 87 101 is be AUX ajst-16341 87 102 the the DET ajst-16341 87 103 porosity porosity NOUN ajst-16341 87 104 after after ADP ajst-16341 87 105 the the DET ajst-16341 87 106 𝑛th 𝑛th ADJ ajst-16341 87 107 iteration iteration NOUN ajst-16341 87 108 of of ADP ajst-16341 87 109 π‘˜ π‘˜ PRON ajst-16341 87 110 π‘˜ π‘˜ DET ajst-16341 87 111 sierpinski sierpinski ADJ ajst-16341 87 112 carpet carpet NOUN ajst-16341 87 113 . . PUNCT ajst-16341 88 1 according accord VERB ajst-16341 88 2 to to ADP ajst-16341 88 3 the the DET ajst-16341 88 4 relationship relationship NOUN ajst-16341 88 5 between between ADP ajst-16341 88 6 the the DET ajst-16341 88 7 difference difference NOUN ajst-16341 88 8 in in ADP ajst-16341 88 9 porosity porosity NOUN ajst-16341 88 10 and and CCONJ ajst-16341 88 11 thermal thermal ADJ ajst-16341 88 12 conductivity conductivity NOUN ajst-16341 88 13 in in ADP ajst-16341 88 14 the the DET ajst-16341 88 15 three three NUM ajst-16341 88 16 - - PUNCT ajst-16341 88 17 box box NOUN ajst-16341 88 18 model model NOUN ajst-16341 88 19 [ [ X ajst-16341 88 20 24 24 NUM ajst-16341 88 21 ] ] PUNCT ajst-16341 88 22 , , PUNCT ajst-16341 88 23 we we PRON ajst-16341 88 24 can can AUX ajst-16341 88 25 obtain obtain VERB ajst-16341 88 26 the the DET ajst-16341 88 27 dimension dimension NOUN ajst-16341 88 28 ( ( PUNCT ajst-16341 88 29 k k NOUN ajst-16341 88 30 ) ) PUNCT ajst-16341 88 31 and and CCONJ ajst-16341 88 32 iteration iteration NOUN ajst-16341 88 33 number number NOUN ajst-16341 88 34 ( ( PUNCT ajst-16341 88 35 n n CCONJ ajst-16341 88 36 ) ) PUNCT ajst-16341 88 37 of of ADP ajst-16341 88 38 the the DET ajst-16341 88 39 optimal optimal ADJ ajst-16341 88 40 fractal fractal ADJ ajst-16341 88 41 unit unit NOUN ajst-16341 88 42 structure structure NOUN ajst-16341 88 43 . . PUNCT ajst-16341 89 1 π‘šπ‘–π‘› π‘šπ‘–π‘› PROPN ajst-16341 89 2 𝑑 𝑑 PROPN ajst-16341 89 3 πœ™ πœ™ PROPN ajst-16341 89 4 π‘˜ π‘˜ PROPN ajst-16341 89 5 1 1 NUM ajst-16341 89 6 π‘˜ π‘˜ DET ajst-16341 89 7 15 15 NUM ajst-16341 89 8 𝑠. 𝑠. NOUN ajst-16341 89 9 𝑑. 𝑑. NOUN ajst-16341 89 10 ⎩ ⎩ PROPN ajst-16341 90 1 βŽͺ βŽͺ NOUN ajst-16341 91 1 ⎨ ⎨ ADJ ajst-16341 91 2 βŽͺ βŽͺ NOUN ajst-16341 91 3 ⎧ ⎧ PROPN ajst-16341 91 4 π‘˜ π‘˜ PROPN ajst-16341 91 5 1 1 NUM ajst-16341 91 6 𝑖𝑠 𝑖𝑠 NOUN ajst-16341 92 1 π‘Ž π‘Ž DET ajst-16341 92 2 π‘π‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘π‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ NOUN ajst-16341 92 3 π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ ADJ ajst-16341 92 4 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ PROPN ajst-16341 92 5 𝑖𝑠 𝑖𝑠 PROPN ajst-16341 92 6 π‘œπ‘‘π‘‘ π‘œπ‘‘π‘‘ PROPN ajst-16341 92 7 , , PUNCT ajst-16341 92 8 𝑛 𝑛 DET ajst-16341 92 9 1 1 NUM ajst-16341 92 10 𝑖𝑠 𝑖𝑠 NOUN ajst-16341 92 11 π‘Ž π‘Ž PRON ajst-16341 92 12 π‘π‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ π‘π‘œπ‘ π‘–π‘‘π‘–π‘£π‘’ NOUN ajst-16341 92 13 π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ π‘–π‘›π‘‘π‘’π‘”π‘’π‘Ÿ NOUN ajst-16341 92 14 ， ， PUNCT ajst-16341 92 15 πœ™ πœ™ PROPN ajst-16341 92 16 π‘˜ π‘˜ PROPN ajst-16341 92 17 1 1 NUM ajst-16341 92 18 π‘˜ π‘˜ NOUN ajst-16341 92 19 。 。 PROPN ajst-16341 92 20 16 16 NUM ajst-16341 92 21 the the DET ajst-16341 92 22 optimization optimization NOUN ajst-16341 92 23 model model NOUN ajst-16341 92 24 is be AUX ajst-16341 92 25 applied apply VERB ajst-16341 92 26 to to PART ajst-16341 92 27 obtain obtain VERB ajst-16341 92 28 π‘˜ π‘˜ PRON ajst-16341 92 29 and and CCONJ ajst-16341 92 30 𝑛 𝑛 PROPN ajst-16341 92 31 , , PUNCT ajst-16341 92 32 which which PRON ajst-16341 92 33 are be AUX ajst-16341 92 34 used use VERB ajst-16341 92 35 to to PART ajst-16341 92 36 calculate calculate VERB ajst-16341 92 37 the the DET ajst-16341 92 38 thermal thermal ADJ ajst-16341 92 39 conductivity conductivity NOUN ajst-16341 92 40 . . PUNCT ajst-16341 93 1 3 3 NUM ajst-16341 93 2 . . NOUN ajst-16341 93 3 3 3 NUM ajst-16341 93 4 . . X ajst-16341 93 5 application application NOUN ajst-16341 93 6 and and CCONJ ajst-16341 93 7 validation validation NOUN ajst-16341 93 8 of of ADP ajst-16341 93 9 the the DET ajst-16341 93 10 thermal thermal ADJ ajst-16341 93 11 conductivity conductivity NOUN ajst-16341 93 12 prediction prediction NOUN ajst-16341 93 13 model model NOUN ajst-16341 93 14 the the DET ajst-16341 93 15 established establish VERB ajst-16341 93 16 thermal thermal ADJ ajst-16341 93 17 conductivity conductivity NOUN ajst-16341 93 18 prediction prediction NOUN ajst-16341 93 19 model model NOUN ajst-16341 93 20 to to ADP ajst-16341 93 21 four four NUM ajst-16341 93 22 reported report VERB ajst-16341 93 23 aerogel aerogel NOUN ajst-16341 93 24 materials material NOUN ajst-16341 93 25 , , PUNCT ajst-16341 93 26 including include VERB ajst-16341 93 27 aramid aramid NOUN ajst-16341 93 28 nanofiber nanofiber NOUN ajst-16341 93 29 aerogel aerogel NOUN ajst-16341 93 30 ( ( PUNCT ajst-16341 93 31 anfas)[24 anfas)[24 PROPN ajst-16341 93 32 ] ] PUNCT ajst-16341 93 33 , , PUNCT ajst-16341 93 34 hydrophobic hydrophobic NOUN ajst-16341 93 35 cellulose cellulose NOUN ajst-16341 93 36 silica silica NOUN ajst-16341 93 37 composite composite ADJ ajst-16341 93 38 aerogel aerogel NOUN ajst-16341 93 39 ( ( PUNCT ajst-16341 93 40 bc bc PROPN ajst-16341 93 41 - - NOUN ajst-16341 93 42 fs)[27 fs)[27 PROPN ajst-16341 93 43 ] ] PUNCT ajst-16341 93 44 , , PUNCT ajst-16341 93 45 polyimide polyimide ADJ ajst-16341 93 46 aerogel aerogel NOUN ajst-16341 93 47 ( ( PUNCT ajst-16341 93 48 ibnr ibnr NOUN ajst-16341 93 49 - - PUNCT ajst-16341 93 50 pi)[30 pi)[30 NOUN ajst-16341 93 51 ] ] PUNCT ajst-16341 93 52 , , PUNCT ajst-16341 93 53 and and CCONJ ajst-16341 93 54 cf cf NOUN ajst-16341 93 55 / / SYM ajst-16341 93 56 sic sic ADJ ajst-16341 93 57 aerogel[31 aerogel[31 NOUN ajst-16341 93 58 ] ] PUNCT ajst-16341 93 59 , , PUNCT ajst-16341 93 60 is be AUX ajst-16341 93 61 used use VERB ajst-16341 93 62 to to PART ajst-16341 93 63 verify verify VERB ajst-16341 93 64 the the DET ajst-16341 93 65 applicability applicability NOUN ajst-16341 93 66 of of ADP ajst-16341 93 67 the the DET ajst-16341 93 68 proposed propose VERB ajst-16341 93 69 model model NOUN ajst-16341 93 70 . . PUNCT ajst-16341 94 1 the the DET ajst-16341 94 2 solid solid ADJ ajst-16341 94 3 phase phase NOUN ajst-16341 94 4 thermal thermal ADJ ajst-16341 94 5 conductivity conductivity NOUN ajst-16341 94 6 , , PUNCT ajst-16341 94 7 porosity porosity NOUN ajst-16341 94 8 , , PUNCT ajst-16341 94 9 and and CCONJ ajst-16341 94 10 actual actual ADJ ajst-16341 94 11 thermal thermal ADJ ajst-16341 94 12 conductivity conductivity NOUN ajst-16341 94 13 of of ADP ajst-16341 94 14 each each DET ajst-16341 94 15 aerogel aerogel NOUN ajst-16341 94 16 are be AUX ajst-16341 94 17 demonstrated demonstrate VERB ajst-16341 94 18 in in ADP ajst-16341 94 19 table table NOUN ajst-16341 94 20 1 1 NUM ajst-16341 94 21 . . NOUN ajst-16341 94 22 159 159 NUM ajst-16341 94 23 table table NOUN ajst-16341 94 24 1 1 NUM ajst-16341 94 25 . . PUNCT ajst-16341 95 1 sample sample NOUN ajst-16341 95 2 data[24,28 data[24,28 PROPN ajst-16341 95 3 - - PUNCT ajst-16341 95 4 34 34 NUM ajst-16341 95 5 ] ] PUNCT ajst-16341 95 6 sample sample NOUN ajst-16341 95 7 name name NOUN ajst-16341 95 8 solid solid ADJ ajst-16341 95 9 phase phase NOUN ajst-16341 95 10 thermal thermal ADJ ajst-16341 95 11 conductivity conductivity NOUN ajst-16341 95 12 π‘Šπ‘š π‘Šπ‘š PROPN ajst-16341 95 13 𝐾 𝐾 PROPN ajst-16341 95 14 porosity porosity NOUN ajst-16341 95 15 real real ADJ ajst-16341 95 16 thermal thermal ADJ ajst-16341 95 17 conductivity conductivity NOUN ajst-16341 95 18 π‘Šπ‘š π‘Šπ‘š PROPN ajst-16341 95 19 𝐾 𝐾 PROPN ajst-16341 95 20 anfas anfas VERB ajst-16341 96 1 2.064191 2.064191 NUM ajst-16341 96 2 0.9931 0.9931 NUM ajst-16341 96 3 0.02935 0.02935 NUM ajst-16341 96 4 0.990752 0.990752 NUM ajst-16341 96 5 0.031334 0.031334 NUM ajst-16341 96 6 0.99057 0.99057 NUM ajst-16341 96 7 0.03202 0.03202 NUM ajst-16341 96 8 0.990509 0.990509 NUM ajst-16341 96 9 0.032046 0.032046 NUM ajst-16341 96 10 0.989372 0.989372 NUM ajst-16341 96 11 0.032513 0.032513 NUM ajst-16341 96 12 bc bc PROPN ajst-16341 96 13 - - PROPN ajst-16341 96 14 fs fs ADP ajst-16341 96 15 15 15 NUM ajst-16341 96 16 0.9819 0.9819 NUM ajst-16341 96 17 0.032 0.032 NUM ajst-16341 96 18 ibnr ibnr ADJ ajst-16341 96 19 - - PUNCT ajst-16341 96 20 pi pi NOUN ajst-16341 96 21 0.44 0.44 NUM ajst-16341 96 22 0.9492 0.9492 NUM ajst-16341 96 23 0.03006 0.03006 NUM ajst-16341 96 24 cf cf NOUN ajst-16341 96 25 / / SYM ajst-16341 96 26 sic sic ADJ ajst-16341 96 27 3.95 3.95 NUM ajst-16341 96 28 0.995 0.995 NUM ajst-16341 96 29 0.033 0.033 NUM ajst-16341 96 30 based base VERB ajst-16341 96 31 on on ADP ajst-16341 96 32 the the DET ajst-16341 96 33 porosity porosity NOUN ajst-16341 96 34 and and CCONJ ajst-16341 96 35 solid solid ADJ ajst-16341 96 36 - - PUNCT ajst-16341 96 37 phase phase NOUN ajst-16341 96 38 thermal thermal ADJ ajst-16341 96 39 conductivity conductivity NOUN ajst-16341 96 40 data datum NOUN ajst-16341 96 41 of of ADP ajst-16341 96 42 the the DET ajst-16341 96 43 8 8 NUM ajst-16341 96 44 samples sample NOUN ajst-16341 96 45 in in ADP ajst-16341 96 46 table table NOUN ajst-16341 96 47 1 1 NUM ajst-16341 96 48 , , PUNCT ajst-16341 96 49 the the DET ajst-16341 96 50 optimal optimal ADJ ajst-16341 96 51 fractal fractal ADJ ajst-16341 96 52 unit unit NOUN ajst-16341 96 53 structure structure NOUN ajst-16341 96 54 and and CCONJ ajst-16341 96 55 iteration iteration NOUN ajst-16341 96 56 number number NOUN ajst-16341 96 57 of of ADP ajst-16341 96 58 the the DET ajst-16341 96 59 8 8 NUM ajst-16341 96 60 samples sample NOUN ajst-16341 96 61 were be AUX ajst-16341 96 62 calculated calculate VERB ajst-16341 96 63 through through ADP ajst-16341 96 64 formulas formula NOUN ajst-16341 96 65 ( ( PUNCT ajst-16341 96 66 15 15 NUM ajst-16341 96 67 ) ) PUNCT ajst-16341 96 68 and and CCONJ ajst-16341 96 69 ( ( PUNCT ajst-16341 96 70 16 16 NUM ajst-16341 96 71 ) ) PUNCT ajst-16341 96 72 . . PUNCT ajst-16341 97 1 the the DET ajst-16341 97 2 results result NOUN ajst-16341 97 3 are be AUX ajst-16341 97 4 demonstrated demonstrate VERB ajst-16341 97 5 in in ADP ajst-16341 97 6 table table NOUN ajst-16341 97 7 2 2 NUM ajst-16341 97 8 . . PUNCT ajst-16341 97 9 table table NOUN ajst-16341 97 10 2 2 NUM ajst-16341 97 11 . . X ajst-16341 97 12 average average ADJ ajst-16341 97 13 tortuosity tortuosity NOUN ajst-16341 97 14 calculation calculation NOUN ajst-16341 97 15 results result NOUN ajst-16341 97 16 of of ADP ajst-16341 97 17 14 14 NUM ajst-16341 97 18 samples sample NOUN ajst-16341 97 19 sample sample NOUN ajst-16341 97 20 name name NOUN ajst-16341 97 21 porosity porosity NOUN ajst-16341 97 22 optimal optimal ADJ ajst-16341 97 23 fractal fractal ADJ ajst-16341 97 24 unit unit NOUN ajst-16341 97 25 structure structure NOUN ajst-16341 97 26 iterations iteration VERB ajst-16341 97 27 anfas anfas VERB ajst-16341 97 28 0.9931 0.9931 NUM ajst-16341 97 29 17x17 17x17 NUM ajst-16341 97 30 2 2 NUM ajst-16341 97 31 0.990752 0.990752 NUM ajst-16341 97 32 17x17 17x17 NUM ajst-16341 97 33 3 3 NUM ajst-16341 97 34 0.99057 0.99057 NUM ajst-16341 97 35 17x17 17x17 NUM ajst-16341 97 36 3 3 NUM ajst-16341 97 37 0.990509 0.990509 NUM ajst-16341 97 38 17x17 17x17 NUM ajst-16341 97 39 3 3 NUM ajst-16341 97 40 0.989372 0.989372 NUM ajst-16341 97 41 19x19 19x19 NUM ajst-16341 97 42 4 4 NUM ajst-16341 97 43 bc bc PROPN ajst-16341 97 44 - - PUNCT ajst-16341 97 45 fs fs ADP ajst-16341 97 46 0.9819 0.9819 NUM ajst-16341 97 47 19Γ—19 19Γ—19 NUM ajst-16341 97 48 7 7 NUM ajst-16341 97 49 ibnr ibnr ADJ ajst-16341 97 50 - - PUNCT ajst-16341 97 51 pi pi NOUN ajst-16341 97 52 0.9492 0.9492 NUM ajst-16341 97 53 21Γ—21 21Γ—21 NUM ajst-16341 97 54 23 23 NUM ajst-16341 97 55 cf cf NOUN ajst-16341 97 56 / / SYM ajst-16341 97 57 sic sic ADJ ajst-16341 97 58 0.995 0.995 NUM ajst-16341 97 59 19Γ—19 19Γ—19 NUM ajst-16341 97 60 2 2 NUM ajst-16341 97 61 after after ADP ajst-16341 97 62 achieving achieve VERB ajst-16341 97 63 the the DET ajst-16341 97 64 optimal optimal ADJ ajst-16341 97 65 fractal fractal ADJ ajst-16341 97 66 unit unit NOUN ajst-16341 97 67 structure structure NOUN ajst-16341 97 68 , , PUNCT ajst-16341 97 69 the the DET ajst-16341 97 70 thermal thermal ADJ ajst-16341 97 71 conductivity conductivity NOUN ajst-16341 97 72 prediction prediction NOUN ajst-16341 97 73 model model NOUN ajst-16341 97 74 of of ADP ajst-16341 97 75 aerogel aerogel NOUN ajst-16341 97 76 was be AUX ajst-16341 97 77 established establish VERB ajst-16341 97 78 by by ADP ajst-16341 97 79 sierpinski sierpinski ADJ ajst-16341 97 80 carpet carpet NOUN ajst-16341 97 81 and and CCONJ ajst-16341 97 82 equivalent equivalent ADJ ajst-16341 97 83 resistance resistance NOUN ajst-16341 97 84 method method NOUN ajst-16341 97 85 , , PUNCT ajst-16341 97 86 which which PRON ajst-16341 97 87 was be AUX ajst-16341 97 88 based base VERB ajst-16341 97 89 on on ADP ajst-16341 97 90 8 8 NUM ajst-16341 97 91 sample sample NOUN ajst-16341 97 92 data datum NOUN ajst-16341 97 93 . . PUNCT ajst-16341 98 1 for for ADP ajst-16341 98 2 the the DET ajst-16341 98 3 gas gas NOUN ajst-16341 98 4 phase phase NOUN ajst-16341 98 5 thermal thermal ADJ ajst-16341 98 6 conductivity conductivity NOUN ajst-16341 98 7 , , PUNCT ajst-16341 98 8 we we PRON ajst-16341 98 9 uniformly uniformly ADV ajst-16341 98 10 set set VERB ajst-16341 98 11 the the DET ajst-16341 98 12 air air NOUN ajst-16341 98 13 pressure pressure NOUN ajst-16341 98 14 at at ADP ajst-16341 98 15 101.325 101.325 NUM ajst-16341 98 16 πΎπ‘ƒπ‘Ž πΎπ‘ƒπ‘Ž NOUN ajst-16341 98 17 and and CCONJ ajst-16341 98 18 the the DET ajst-16341 98 19 temperature temperature NOUN ajst-16341 98 20 at at ADP ajst-16341 98 21 70 70 NUM ajst-16341 98 22 Β° Β° NUM ajst-16341 98 23 𝐢 𝐢 PROPN ajst-16341 98 24 ; ; PUNCT ajst-16341 98 25 thus thus ADV ajst-16341 98 26 , , PUNCT ajst-16341 98 27 the the DET ajst-16341 98 28 thermal thermal ADJ ajst-16341 98 29 conductivity conductivity NOUN ajst-16341 98 30 of of ADP ajst-16341 98 31 the the DET ajst-16341 98 32 gas gas NOUN ajst-16341 98 33 phase phase NOUN ajst-16341 98 34 is be AUX ajst-16341 98 35 π‘˜ π‘˜ PRON ajst-16341 98 36 0.0296 0.0296 NUM ajst-16341 98 37 π‘Šπ‘š π‘Šπ‘š PROPN ajst-16341 98 38 𝐾 𝐾 PROPN ajst-16341 98 39 . . PUNCT ajst-16341 99 1 the the DET ajst-16341 99 2 relative relative ADJ ajst-16341 99 3 error error NOUN ajst-16341 99 4 calculation calculation NOUN ajst-16341 99 5 formula formula NOUN ajst-16341 99 6 is be AUX ajst-16341 99 7 used use VERB ajst-16341 99 8 to to PART ajst-16341 99 9 test test VERB ajst-16341 99 10 the the DET ajst-16341 99 11 error error NOUN ajst-16341 99 12 situation situation NOUN ajst-16341 99 13 of of ADP ajst-16341 99 14 the the DET ajst-16341 99 15 thermal thermal ADJ ajst-16341 99 16 conductivity conductivity NOUN ajst-16341 99 17 model model NOUN ajst-16341 99 18 , , PUNCT ajst-16341 99 19 whereas whereas SCONJ ajst-16341 99 20 the the DET ajst-16341 99 21 error error NOUN ajst-16341 99 22 formula formula NOUN ajst-16341 99 23 is be AUX ajst-16341 99 24 as as SCONJ ajst-16341 99 25 follows follow VERB ajst-16341 99 26 : : PUNCT ajst-16341 99 27 πœ€ πœ€ X ajst-16341 99 28 π‘˜ π‘˜ ADP ajst-16341 99 29 π‘˜ π‘˜ ADP ajst-16341 99 30 𝑛 𝑛 PRON ajst-16341 99 31 π‘˜ π‘˜ PRON ajst-16341 99 32 100 100 NUM ajst-16341 99 33 % % NOUN ajst-16341 99 34 17 17 NUM ajst-16341 99 35 where where SCONJ ajst-16341 99 36 πœ€ πœ€ NOUN ajst-16341 99 37 represents represent VERB ajst-16341 99 38 the the DET ajst-16341 99 39 relative relative ADJ ajst-16341 99 40 error error NOUN ajst-16341 99 41 , , PUNCT ajst-16341 99 42 π‘˜ π‘˜ PRON ajst-16341 99 43 is be AUX ajst-16341 99 44 the the DET ajst-16341 99 45 actual actual ADJ ajst-16341 99 46 thermal thermal ADJ ajst-16341 99 47 conductivity conductivity NOUN ajst-16341 99 48 of of ADP ajst-16341 99 49 the the DET ajst-16341 99 50 aerogel aerogel NOUN ajst-16341 99 51 , , PUNCT ajst-16341 99 52 and and CCONJ ajst-16341 99 53 π‘˜ π‘˜ DET ajst-16341 99 54 𝑛 𝑛 PROPN ajst-16341 99 55 represents represent VERB ajst-16341 99 56 the the DET ajst-16341 99 57 predicted predict VERB ajst-16341 99 58 thermal thermal ADJ ajst-16341 99 59 conductivity conductivity NOUN ajst-16341 99 60 of of ADP ajst-16341 99 61 the the DET ajst-16341 99 62 aerogel aerogel NOUN ajst-16341 99 63 based base VERB ajst-16341 99 64 on on ADP ajst-16341 99 65 the the DET ajst-16341 99 66 nth nth NOUN ajst-16341 99 67 iteration iteration NOUN ajst-16341 99 68 of of ADP ajst-16341 99 69 the the DET ajst-16341 99 70 sierpinski sierpinski ADJ ajst-16341 99 71 carpet carpet NOUN ajst-16341 99 72 with with ADP ajst-16341 99 73 a a DET ajst-16341 99 74 π‘˜ π‘˜ X ajst-16341 99 75 π‘˜ π‘˜ PRON ajst-16341 99 76 fractal fractal ADJ ajst-16341 99 77 unit unit NOUN ajst-16341 99 78 structure structure NOUN ajst-16341 99 79 . . PUNCT ajst-16341 100 1 by by ADP ajst-16341 100 2 substituting substitute VERB ajst-16341 100 3 the the DET ajst-16341 100 4 parameters parameter NOUN ajst-16341 100 5 into into ADP ajst-16341 100 6 equations equation NOUN ajst-16341 100 7 ( ( PUNCT ajst-16341 100 8 10 10 NUM ajst-16341 100 9 ) ) PUNCT ajst-16341 100 10 and and CCONJ ajst-16341 100 11 ( ( PUNCT ajst-16341 100 12 11 11 NUM ajst-16341 100 13 ) ) PUNCT ajst-16341 100 14 , , PUNCT ajst-16341 100 15 the the DET ajst-16341 100 16 thermal thermal ADJ ajst-16341 100 17 conductivity conductivity NOUN ajst-16341 100 18 predictions prediction NOUN ajst-16341 100 19 of of ADP ajst-16341 100 20 the the DET ajst-16341 100 21 aerogel aerogel NOUN ajst-16341 100 22 based base VERB ajst-16341 100 23 on on ADP ajst-16341 100 24 the the DET ajst-16341 100 25 equivalent equivalent ADJ ajst-16341 100 26 resistance resistance NOUN ajst-16341 100 27 method method NOUN ajst-16341 100 28 are be AUX ajst-16341 100 29 obtained obtain VERB ajst-16341 100 30 . . PUNCT ajst-16341 101 1 the the DET ajst-16341 101 2 relative relative ADJ ajst-16341 101 3 error error NOUN ajst-16341 101 4 with with ADP ajst-16341 101 5 respect respect NOUN ajst-16341 101 6 to to ADP ajst-16341 101 7 the the DET ajst-16341 101 8 real real ADJ ajst-16341 101 9 thermal thermal ADJ ajst-16341 101 10 conductivity conductivity NOUN ajst-16341 101 11 is be AUX ajst-16341 101 12 calculated calculate VERB ajst-16341 101 13 using use VERB ajst-16341 101 14 equation equation NOUN ajst-16341 101 15 ( ( PUNCT ajst-16341 101 16 17 17 NUM ajst-16341 101 17 ) ) PUNCT ajst-16341 101 18 . . PUNCT ajst-16341 102 1 table table NOUN ajst-16341 102 2 β…² β…² PROPN ajst-16341 102 3 shows show VERB ajst-16341 102 4 that that SCONJ ajst-16341 102 5 the the DET ajst-16341 102 6 closest close ADJ ajst-16341 102 7 experimental experimental ADJ ajst-16341 102 8 data datum NOUN ajst-16341 102 9 could could AUX ajst-16341 102 10 be be AUX ajst-16341 102 11 approached approach VERB ajst-16341 102 12 using use VERB ajst-16341 102 13 the the PRON ajst-16341 102 14 π‘˜ π‘˜ PROPN ajst-16341 102 15 π‘˜ π‘˜ DET ajst-16341 102 16 thermal thermal ADJ ajst-16341 102 17 conductivity conductivity NOUN ajst-16341 102 18 of of ADP ajst-16341 102 19 anfas anfas NOUN ajst-16341 102 20 with with ADP ajst-16341 102 21 porosity porosity NOUN ajst-16341 102 22 of of ADP ajst-16341 102 23 0.9931 0.9931 NUM ajst-16341 102 24 predicted predict VERB ajst-16341 102 25 by by ADP ajst-16341 102 26 the the DET ajst-16341 102 27 aerogel aerogel NOUN ajst-16341 102 28 thermal thermal ADJ ajst-16341 102 29 conductivity conductivity NOUN ajst-16341 102 30 model model NOUN ajst-16341 102 31 of of ADP ajst-16341 102 32 sierpinski sierpinski ADJ ajst-16341 102 33 carpet carpet NOUN ajst-16341 102 34 with with ADP ajst-16341 102 35 π‘˜ π‘˜ DET ajst-16341 102 36 fractal fractal ADJ ajst-16341 102 37 unit unit NOUN ajst-16341 102 38 , , PUNCT ajst-16341 102 39 with with ADP ajst-16341 102 40 the the DET ajst-16341 102 41 lowest low ADJ ajst-16341 102 42 error error NOUN ajst-16341 102 43 of of ADP ajst-16341 102 44 1.58 1.58 NUM ajst-16341 102 45 % % NOUN ajst-16341 102 46 . . PUNCT ajst-16341 103 1 experimental experimental ADJ ajst-16341 103 2 data datum NOUN ajst-16341 103 3 and and CCONJ ajst-16341 103 4 relative relative ADJ ajst-16341 103 5 error error NOUN ajst-16341 103 6 of of ADP ajst-16341 103 7 the the DET ajst-16341 103 8 aerogel aerogel NOUN ajst-16341 103 9 heat heat NOUN ajst-16341 103 10 conduction conduction NOUN ajst-16341 103 11 model model NOUN ajst-16341 103 12 of of ADP ajst-16341 103 13 sierpinski sierpinski ADJ ajst-16341 103 14 carpet carpet NOUN ajst-16341 103 15 with with ADP ajst-16341 103 16 π‘˜ π‘˜ PRON ajst-16341 103 17 fractal fractal ADJ ajst-16341 103 18 unit unit NOUN ajst-16341 103 19 , , PUNCT ajst-16341 103 20 based base VERB ajst-16341 103 21 on on ADP ajst-16341 103 22 π‘˜ π‘˜ DET ajst-16341 103 23 π‘˜ π‘˜ DET ajst-16341 103 24 fractal fractal ADJ ajst-16341 103 25 units unit NOUN ajst-16341 103 26 , , PUNCT ajst-16341 103 27 are be AUX ajst-16341 103 28 controlled control VERB ajst-16341 103 29 between between ADP ajst-16341 103 30 1.58 1.58 NUM ajst-16341 103 31 % % NOUN ajst-16341 103 32 and and CCONJ ajst-16341 103 33 9.78 9.78 NUM ajst-16341 103 34 % % NOUN ajst-16341 103 35 , , PUNCT ajst-16341 103 36 whereas whereas SCONJ ajst-16341 103 37 the the DET ajst-16341 103 38 average average ADJ ajst-16341 103 39 relative relative ADJ ajst-16341 103 40 error error NOUN ajst-16341 103 41 is be AUX ajst-16341 103 42 5.77 5.77 NUM ajst-16341 103 43 % % NOUN ajst-16341 103 44 . . PUNCT ajst-16341 104 1 table table NOUN ajst-16341 105 1 3 3 NUM ajst-16341 105 2 . . PUNCT ajst-16341 105 3 comparison comparison NOUN ajst-16341 105 4 of of ADP ajst-16341 105 5 thermal thermal ADJ ajst-16341 105 6 conductivity conductivity NOUN ajst-16341 105 7 prediction prediction NOUN ajst-16341 105 8 results result NOUN ajst-16341 105 9 with with ADP ajst-16341 105 10 experimental experimental ADJ ajst-16341 105 11 data datum NOUN ajst-16341 105 12 sample sample NOUN ajst-16341 105 13 name name NOUN ajst-16341 105 14 porosity porosity NOUN ajst-16341 105 15 π‘˜ π‘˜ ADP ajst-16341 105 16 a a PRON ajst-16341 105 17 π‘˜ π‘˜ X ajst-16341 105 18 𝑛 𝑛 PRON ajst-16341 105 19 b b NOUN ajst-16341 105 20 πœ€ πœ€ X ajst-16341 105 21 π‘˜ π‘˜ ADP ajst-16341 105 22 π‘˜ π‘˜ NOUN ajst-16341 105 23 c c NOUN ajst-16341 105 24 anfas anfas NOUN ajst-16341 105 25 0.9931 0.9931 NUM ajst-16341 105 26 0.02935 0.02935 NUM ajst-16341 105 27 0.029815 0.029815 NUM ajst-16341 105 28 0.015834 0.015834 NUM ajst-16341 105 29 0.990752 0.990752 NUM ajst-16341 105 30 0.031334 0.031334 NUM ajst-16341 105 31 0.029923 0.029923 NUM ajst-16341 105 32 0.045042 0.045042 NUM ajst-16341 105 33 0.99057 0.99057 NUM ajst-16341 105 34 0.03202 0.03202 NUM ajst-16341 105 35 0.029923 0.029923 NUM ajst-16341 105 36 0.065501 0.065501 NUM ajst-16341 106 1 0.990509 0.990509 NUM ajst-16341 106 2 0.032046 0.032046 NUM ajst-16341 106 3 0.029923 0.029923 NUM ajst-16341 107 1 0.066259 0.066259 NUM ajst-16341 107 2 0.989372 0.989372 NUM ajst-16341 107 3 0.032513 0.032513 NUM ajst-16341 107 4 0.029942 0.029942 NUM ajst-16341 107 5 0.079073 0.079073 NUM ajst-16341 107 6 bc bc PROPN ajst-16341 107 7 - - PUNCT ajst-16341 107 8 fs fs ADP ajst-16341 107 9 0.9819 0.9819 NUM ajst-16341 107 10 0.032 0.032 NUM ajst-16341 107 11 0.03021 0.03021 NUM ajst-16341 107 12 0.05594 0.05594 NUM ajst-16341 107 13 ibnr ibnr ADJ ajst-16341 107 14 - - PUNCT ajst-16341 107 15 pi pi NOUN ajst-16341 107 16 0.9492 0.9492 NUM ajst-16341 107 17 0.03006 0.03006 NUM ajst-16341 107 18 0.028979 0.028979 NUM ajst-16341 107 19 0.03597 0.03597 NUM ajst-16341 107 20 cf cf NOUN ajst-16341 107 21 / / SYM ajst-16341 107 22 sic sic ADJ ajst-16341 107 23 0.995 0.995 NUM ajst-16341 107 24 0.033 0.033 NUM ajst-16341 107 25 0.029772 0.029772 NUM ajst-16341 107 26 0.09782 0.09782 NUM ajst-16341 107 27 π‘Ž π‘Ž NOUN ajst-16341 107 28 ) ) PUNCT ajst-16341 107 29 real real ADJ ajst-16341 107 30 thermal thermal ADJ ajst-16341 107 31 conductivity conductivity NOUN ajst-16341 107 32 . . PUNCT ajst-16341 108 1 𝑏 𝑏 NOUN ajst-16341 108 2 ) ) PUNCT ajst-16341 108 3 predicted predict VERB ajst-16341 108 4 thermal thermal ADJ ajst-16341 108 5 conductivity conductivity NOUN ajst-16341 108 6 of of ADP ajst-16341 108 7 the the DET ajst-16341 108 8 model model NOUN ajst-16341 108 9 with with ADP ajst-16341 108 10 a a DET ajst-16341 108 11 fractal fractal ADJ ajst-16341 108 12 unit unit NOUN ajst-16341 108 13 structure structure NOUN ajst-16341 108 14 of of ADP ajst-16341 108 15 π‘˜ π‘˜ DET ajst-16341 108 16 π‘˜ π‘˜ NOUN ajst-16341 108 17 ; ; PUNCT ajst-16341 108 18 𝑐 𝑐 NOUN ajst-16341 108 19 ) ) PUNCT ajst-16341 108 20 error error NOUN ajst-16341 108 21 rate rate NOUN ajst-16341 108 22 of of ADP ajst-16341 108 23 thermal thermal ADJ ajst-16341 108 24 conductivity conductivity NOUN ajst-16341 108 25 model model NOUN ajst-16341 108 26 with with ADP ajst-16341 108 27 π‘˜ π‘˜ PROPN ajst-16341 108 28 π‘˜ π‘˜ DET ajst-16341 108 29 fractal fractal ADJ ajst-16341 108 30 unit unit NOUN ajst-16341 108 31 structure structure NOUN ajst-16341 108 32 to to PART ajst-16341 108 33 determine determine VERB ajst-16341 108 34 whether whether SCONJ ajst-16341 108 35 the the DET ajst-16341 108 36 change change NOUN ajst-16341 108 37 in in ADP ajst-16341 108 38 fractal fractal ADJ ajst-16341 108 39 unit unit NOUN ajst-16341 108 40 structure structure NOUN ajst-16341 108 41 can can AUX ajst-16341 108 42 effectively effectively ADV ajst-16341 108 43 predict predict VERB ajst-16341 108 44 the the DET ajst-16341 108 45 thermal thermal ADJ ajst-16341 108 46 conductivity conductivity NOUN ajst-16341 108 47 of of ADP ajst-16341 108 48 aerogel aerogel NOUN ajst-16341 108 49 , , PUNCT ajst-16341 108 50 we we PRON ajst-16341 108 51 compared compare VERB ajst-16341 108 52 the the DET ajst-16341 108 53 thermal thermal ADJ ajst-16341 108 54 conductivity conductivity NOUN ajst-16341 108 55 prediction prediction NOUN ajst-16341 108 56 model model NOUN ajst-16341 108 57 of of ADP ajst-16341 108 58 chen chen PROPN ajst-16341 108 59 xiao[24 xiao[24 PROPN ajst-16341 108 60 ] ] PUNCT ajst-16341 108 61 in in ADP ajst-16341 108 62 the the DET ajst-16341 108 63 previous previous ADJ ajst-16341 108 64 work work NOUN ajst-16341 108 65 . . PUNCT ajst-16341 109 1 the the DET ajst-16341 109 2 finding finding NOUN ajst-16341 109 3 shows show VERB ajst-16341 109 4 that that SCONJ ajst-16341 109 5 when when SCONJ ajst-16341 109 6 the the DET ajst-16341 109 7 fractal fractal ADJ ajst-16341 109 8 unit unit NOUN ajst-16341 109 9 structure structure NOUN ajst-16341 109 10 is be AUX ajst-16341 109 11 3 3 NUM ajst-16341 109 12 3 3 NUM ajst-16341 109 13 , , PUNCT ajst-16341 109 14 the the DET ajst-16341 109 15 error error NOUN ajst-16341 109 16 between between ADP ajst-16341 109 17 the the DET ajst-16341 109 18 160 160 NUM ajst-16341 109 19 predicted predict VERB ajst-16341 109 20 thermal thermal ADJ ajst-16341 109 21 conductivity conductivity NOUN ajst-16341 109 22 of of ADP ajst-16341 109 23 the the DET ajst-16341 109 24 optimal optimal ADJ ajst-16341 109 25 aerogel aerogel NOUN ajst-16341 109 26 and and CCONJ ajst-16341 109 27 the the DET ajst-16341 109 28 actual actual ADJ ajst-16341 109 29 thermal thermal ADJ ajst-16341 109 30 conductivity conductivity NOUN ajst-16341 109 31 is be AUX ajst-16341 109 32 as as SCONJ ajst-16341 109 33 illustrated illustrate VERB ajst-16341 109 34 in in ADP ajst-16341 109 35 table table NOUN ajst-16341 109 36 4 4 NUM ajst-16341 109 37 . . PUNCT ajst-16341 109 38 table table NOUN ajst-16341 109 39 4 4 NUM ajst-16341 109 40 . . PUNCT ajst-16341 109 41 comparison comparison NOUN ajst-16341 109 42 of of ADP ajst-16341 109 43 thermal thermal ADJ ajst-16341 109 44 conductivity conductivity NOUN ajst-16341 109 45 prediction prediction NOUN ajst-16341 109 46 results result NOUN ajst-16341 109 47 with with ADP ajst-16341 109 48 experimental experimental ADJ ajst-16341 109 49 data datum NOUN ajst-16341 109 50 sample sample NOUN ajst-16341 109 51 name name NOUN ajst-16341 109 52 porosity porosity NOUN ajst-16341 109 53 π‘˜ π‘˜ ADP ajst-16341 109 54 a a DET ajst-16341 109 55 π‘Šπ‘š π‘Šπ‘š PROPN ajst-16341 109 56 𝐾 𝐾 PROPN ajst-16341 109 57 π‘˜ π‘˜ PROPN ajst-16341 109 58 d d PROPN ajst-16341 109 59 π‘Šπ‘š π‘Šπ‘š PROPN ajst-16341 109 60 𝐾 𝐾 PROPN ajst-16341 109 61 πœ€ πœ€ VERB ajst-16341 109 62 3 3 NUM ajst-16341 109 63 3 3 NUM ajst-16341 109 64 e e NOUN ajst-16341 109 65 anfas anfas NOUN ajst-16341 109 66 0.9931 0.9931 NUM ajst-16341 109 67 0.02935 0.02935 NUM ajst-16341 110 1 0.0287 0.0287 NUM ajst-16341 110 2 0.0209 0.0209 NUM ajst-16341 110 3 0.990752 0.990752 NUM ajst-16341 110 4 0.031334 0.031334 NUM ajst-16341 110 5 0.0295 0.0295 NUM ajst-16341 110 6 0.059 0.059 NUM ajst-16341 110 7 0.99057 0.99057 NUM ajst-16341 110 8 0.03202 0.03202 NUM ajst-16341 110 9 0.0295 0.0295 NUM ajst-16341 110 10 0.0792 0.0792 NUM ajst-16341 110 11 0.990509 0.990509 NUM ajst-16341 110 12 0.032046 0.032046 NUM ajst-16341 110 13 0.0295 0.0295 NUM ajst-16341 110 14 0.0799 0.0799 NUM ajst-16341 110 15 0.989372 0.989372 NUM ajst-16341 110 16 0.032513 0.032513 NUM ajst-16341 110 17 0.0295 0.0295 NUM ajst-16341 110 18 0.0932 0.0932 NUM ajst-16341 110 19 bc bc PROPN ajst-16341 110 20 - - PUNCT ajst-16341 110 21 fs fs ADP ajst-16341 110 22 0.9819 0.9819 NUM ajst-16341 110 23 0.032 0.032 NUM ajst-16341 110 24 0.05774 0.05774 NUM ajst-16341 110 25 0.8042 0.8042 NUM ajst-16341 110 26 ibnr ibnr ADJ ajst-16341 110 27 - - PUNCT ajst-16341 110 28 pi pi NOUN ajst-16341 110 29 0.9492 0.9492 NUM ajst-16341 110 30 0.03006 0.03006 NUM ajst-16341 110 31 0.03354 0.03354 NUM ajst-16341 110 32 0.1156 0.1156 NUM ajst-16341 110 33 cf cf NOUN ajst-16341 110 34 / / SYM ajst-16341 110 35 sic sic ADJ ajst-16341 110 36 0.995 0.995 NUM ajst-16341 110 37 0.033 0.033 NUM ajst-16341 110 38 0.0285 0.0285 NUM ajst-16341 110 39 0.1363 0.1363 NUM ajst-16341 110 40 π‘Ž π‘Ž NOUN ajst-16341 110 41 ) ) PUNCT ajst-16341 110 42 real real ADJ ajst-16341 110 43 thermal thermal ADJ ajst-16341 110 44 conductivity conductivity NOUN ajst-16341 110 45 . . PUNCT ajst-16341 111 1 𝑏 𝑏 NOUN ajst-16341 111 2 ) ) PUNCT ajst-16341 111 3 predicted predict VERB ajst-16341 111 4 thermal thermal ADJ ajst-16341 111 5 conductivity conductivity NOUN ajst-16341 111 6 of of ADP ajst-16341 111 7 the the DET ajst-16341 111 8 model model NOUN ajst-16341 111 9 with with ADP ajst-16341 111 10 a a DET ajst-16341 111 11 fractal fractal ADJ ajst-16341 111 12 unit unit NOUN ajst-16341 111 13 structure structure NOUN ajst-16341 111 14 of of ADP ajst-16341 111 15 3 3 NUM ajst-16341 111 16 3 3 NUM ajst-16341 111 17 ; ; PUNCT ajst-16341 111 18 𝑐 𝑐 X ajst-16341 111 19 ) ) PUNCT ajst-16341 111 20 error error NOUN ajst-16341 111 21 rate rate NOUN ajst-16341 111 22 of of ADP ajst-16341 111 23 the the DET ajst-16341 111 24 thermal thermal ADJ ajst-16341 111 25 conductivity conductivity NOUN ajst-16341 111 26 model model NOUN ajst-16341 111 27 with with ADP ajst-16341 111 28 3 3 NUM ajst-16341 111 29 3 3 NUM ajst-16341 111 30 fractal fractal ADJ ajst-16341 111 31 unit unit NOUN ajst-16341 111 32 structure structure NOUN ajst-16341 111 33 table table NOUN ajst-16341 111 34 β…³ β…³ NOUN ajst-16341 111 35 shows show VERB ajst-16341 111 36 the the DET ajst-16341 111 37 error error NOUN ajst-16341 111 38 relationship relationship NOUN ajst-16341 111 39 between between ADP ajst-16341 111 40 experimental experimental ADJ ajst-16341 111 41 data datum NOUN ajst-16341 111 42 and and CCONJ ajst-16341 111 43 the the DET ajst-16341 111 44 aerogel aerogel NOUN ajst-16341 111 45 thermal thermal ADJ ajst-16341 111 46 conductivity conductivity NOUN ajst-16341 111 47 model model NOUN ajst-16341 111 48 of of ADP ajst-16341 111 49 sierpinski sierpinski ADJ ajst-16341 111 50 carpet carpet NOUN ajst-16341 111 51 based base VERB ajst-16341 111 52 on on ADP ajst-16341 111 53 fractal fractal ADJ ajst-16341 111 54 units unit NOUN ajst-16341 111 55 of of ADP ajst-16341 111 56 3 3 NUM ajst-16341 111 57 3 3 NUM ajst-16341 111 58 , , PUNCT ajst-16341 111 59 whose whose DET ajst-16341 111 60 relative relative ADJ ajst-16341 111 61 error error NOUN ajst-16341 111 62 is be AUX ajst-16341 111 63 controlled control VERB ajst-16341 111 64 between between ADP ajst-16341 111 65 2.09 2.09 NUM ajst-16341 111 66 % % NOUN ajst-16341 111 67 and and CCONJ ajst-16341 111 68 80.42 80.42 NUM ajst-16341 111 69 % % NOUN ajst-16341 111 70 , , PUNCT ajst-16341 111 71 and and CCONJ ajst-16341 111 72 the the DET ajst-16341 111 73 average average ADJ ajst-16341 111 74 relative relative ADJ ajst-16341 111 75 error error NOUN ajst-16341 111 76 is be AUX ajst-16341 111 77 17.35 17.35 NUM ajst-16341 111 78 % % NOUN ajst-16341 111 79 . . PUNCT ajst-16341 112 1 therefore therefore ADV ajst-16341 112 2 , , PUNCT ajst-16341 112 3 the the DET ajst-16341 112 4 analysis analysis NOUN ajst-16341 112 5 of of ADP ajst-16341 112 6 four four NUM ajst-16341 112 7 different different ADJ ajst-16341 112 8 aerogels aerogel NOUN ajst-16341 112 9 indicates indicate VERB ajst-16341 112 10 that that SCONJ ajst-16341 112 11 the the DET ajst-16341 112 12 average average ADJ ajst-16341 112 13 relative relative ADJ ajst-16341 112 14 error error NOUN ajst-16341 112 15 of of ADP ajst-16341 112 16 this this DET ajst-16341 112 17 prediction prediction NOUN ajst-16341 112 18 model model NOUN ajst-16341 112 19 decreased decrease VERB ajst-16341 112 20 by by ADP ajst-16341 112 21 11.58 11.58 NUM ajst-16341 112 22 % % NOUN ajst-16341 112 23 compared compare VERB ajst-16341 112 24 with with ADP ajst-16341 112 25 the the DET ajst-16341 112 26 fractal fractal ADJ ajst-16341 112 27 geometry geometry NOUN ajst-16341 112 28 thermal thermal ADJ ajst-16341 112 29 conductivity conductivity NOUN ajst-16341 112 30 prediction prediction NOUN ajst-16341 112 31 model model NOUN ajst-16341 112 32 of of ADP ajst-16341 112 33 3 3 NUM ajst-16341 112 34 3 3 NUM ajst-16341 112 35 . . PUNCT ajst-16341 113 1 especially especially ADV ajst-16341 113 2 for for ADP ajst-16341 113 3 the the DET ajst-16341 113 4 hydrophobic hydrophobic NOUN ajst-16341 113 5 cellulose cellulose NOUN ajst-16341 113 6 silica silica NOUN ajst-16341 113 7 composite composite ADJ ajst-16341 113 8 aerogel aerogel NOUN ajst-16341 113 9 ( ( PUNCT ajst-16341 113 10 bc bc PROPN ajst-16341 113 11 - - PUNCT ajst-16341 113 12 fs fs NOUN ajst-16341 113 13 ) ) PUNCT ajst-16341 113 14 with with ADP ajst-16341 113 15 a a DET ajst-16341 113 16 porosity porosity NOUN ajst-16341 113 17 of of ADP ajst-16341 113 18 98.19 98.19 NUM ajst-16341 113 19 % % NOUN ajst-16341 113 20 , , PUNCT ajst-16341 113 21 the the DET ajst-16341 113 22 error error NOUN ajst-16341 113 23 between between ADP ajst-16341 113 24 the the DET ajst-16341 113 25 calculated calculate VERB ajst-16341 113 26 results result NOUN ajst-16341 113 27 and and CCONJ ajst-16341 113 28 the the DET ajst-16341 113 29 actual actual ADJ ajst-16341 113 30 thermal thermal ADJ ajst-16341 113 31 conductivity conductivity NOUN ajst-16341 113 32 using use VERB ajst-16341 113 33 the the DET ajst-16341 113 34 previous previous ADJ ajst-16341 113 35 thermal thermal ADJ ajst-16341 113 36 conductivity conductivity NOUN ajst-16341 113 37 model model NOUN ajst-16341 113 38 of of ADP ajst-16341 113 39 the the DET ajst-16341 113 40 sierpinski sierpinski ADJ ajst-16341 113 41 carpet carpet NOUN ajst-16341 113 42 with with ADP ajst-16341 113 43 a a DET ajst-16341 113 44 fractal fractal ADJ ajst-16341 113 45 cell cell NOUN ajst-16341 113 46 structure structure NOUN ajst-16341 113 47 of of ADP ajst-16341 113 48 3 3 NUM ajst-16341 113 49 3 3 NUM ajst-16341 113 50 is be AUX ajst-16341 113 51 as as ADV ajst-16341 113 52 high high ADJ ajst-16341 113 53 as as ADP ajst-16341 113 54 80.42 80.42 NUM ajst-16341 113 55 % % NOUN ajst-16341 113 56 . . PUNCT ajst-16341 114 1 however however ADV ajst-16341 114 2 , , PUNCT ajst-16341 114 3 the the DET ajst-16341 114 4 error error NOUN ajst-16341 114 5 is be AUX ajst-16341 114 6 only only ADV ajst-16341 114 7 5.59 5.59 NUM ajst-16341 114 8 % % NOUN ajst-16341 114 9 under under ADP ajst-16341 114 10 the the DET ajst-16341 114 11 improved improved ADJ ajst-16341 114 12 model model NOUN ajst-16341 114 13 in in ADP ajst-16341 114 14 this this DET ajst-16341 114 15 paper paper NOUN ajst-16341 114 16 , , PUNCT ajst-16341 114 17 whose whose DET ajst-16341 114 18 rate rate NOUN ajst-16341 114 19 is be AUX ajst-16341 114 20 reduced reduce VERB ajst-16341 114 21 by by ADP ajst-16341 114 22 74.83 74.83 NUM ajst-16341 114 23 % % NOUN ajst-16341 114 24 , , PUNCT ajst-16341 114 25 showing show VERB ajst-16341 114 26 a a DET ajst-16341 114 27 significant significant ADJ ajst-16341 114 28 effect effect NOUN ajst-16341 114 29 . . PUNCT ajst-16341 115 1 the the DET ajst-16341 115 2 specific specific ADJ ajst-16341 115 3 results result NOUN ajst-16341 115 4 are be AUX ajst-16341 115 5 demonstrated demonstrate VERB ajst-16341 115 6 in in ADP ajst-16341 115 7 the the DET ajst-16341 115 8 following follow VERB ajst-16341 115 9 figure figure NOUN ajst-16341 115 10 4 4 NUM ajst-16341 115 11 : : PUNCT ajst-16341 115 12 figure figure NOUN ajst-16341 115 13 4 4 NUM ajst-16341 115 14 . . NOUN ajst-16341 115 15 error error NOUN ajst-16341 115 16 comparison comparison NOUN ajst-16341 115 17 of of ADP ajst-16341 115 18 different different ADJ ajst-16341 115 19 model model NOUN ajst-16341 115 20 results result NOUN ajst-16341 115 21 with with ADP ajst-16341 115 22 experimental experimental ADJ ajst-16341 115 23 data datum NOUN ajst-16341 115 24 4 4 NUM ajst-16341 115 25 . . PUNCT ajst-16341 116 1 conclusions conclusion NOUN ajst-16341 116 2 a a DET ajst-16341 116 3 prediction prediction NOUN ajst-16341 116 4 model model NOUN ajst-16341 116 5 of of ADP ajst-16341 116 6 thermal thermal ADJ ajst-16341 116 7 conductivity conductivity NOUN ajst-16341 116 8 of of ADP ajst-16341 116 9 aerogel aerogel NOUN ajst-16341 116 10 is be AUX ajst-16341 116 11 established establish VERB ajst-16341 116 12 based base VERB ajst-16341 116 13 on on ADP ajst-16341 116 14 sierpinski sierpinski ADJ ajst-16341 116 15 carpet carpet NOUN ajst-16341 116 16 with with ADP ajst-16341 116 17 fractal fractal ADJ ajst-16341 116 18 unit unit NOUN ajst-16341 116 19 structure structure NOUN ajst-16341 116 20 of of ADP ajst-16341 116 21 π‘˜ π‘˜ DET ajst-16341 116 22 π‘˜ π‘˜ NOUN ajst-16341 116 23 and and CCONJ ajst-16341 116 24 equivalent equivalent ADJ ajst-16341 116 25 circuit circuit NOUN ajst-16341 116 26 method method NOUN ajst-16341 116 27 . . PUNCT ajst-16341 117 1 then then ADV ajst-16341 117 2 , , PUNCT ajst-16341 117 3 the the DET ajst-16341 117 4 optimal optimal ADJ ajst-16341 117 5 fractal fractal ADJ ajst-16341 117 6 unit unit NOUN ajst-16341 117 7 structure structure NOUN ajst-16341 117 8 of of ADP ajst-16341 117 9 aerogel aerogel NOUN ajst-16341 117 10 carpet carpet NOUN ajst-16341 117 11 is be AUX ajst-16341 117 12 calculated calculate VERB ajst-16341 117 13 through through ADP ajst-16341 117 14 the the DET ajst-16341 117 15 aerogel aerogel NOUN ajst-16341 117 16 porosity porosity NOUN ajst-16341 117 17 . . PUNCT ajst-16341 118 1 finally finally ADV ajst-16341 118 2 , , PUNCT ajst-16341 118 3 on on ADP ajst-16341 118 4 the the DET ajst-16341 118 5 basis basis NOUN ajst-16341 118 6 of of ADP ajst-16341 118 7 the the DET ajst-16341 118 8 sample sample NOUN ajst-16341 118 9 data datum NOUN ajst-16341 118 10 of of ADP ajst-16341 118 11 four four NUM ajst-16341 118 12 different different ADJ ajst-16341 118 13 aerogels aerogel NOUN ajst-16341 118 14 , , PUNCT ajst-16341 118 15 the the DET ajst-16341 118 16 relative relative ADJ ajst-16341 118 17 error error NOUN ajst-16341 118 18 of of ADP ajst-16341 118 19 the the DET ajst-16341 118 20 proposed propose VERB ajst-16341 118 21 thermal thermal ADJ ajst-16341 118 22 conductivity conductivity NOUN ajst-16341 118 23 prediction prediction NOUN ajst-16341 118 24 model model NOUN ajst-16341 118 25 established establish VERB ajst-16341 118 26 was be AUX ajst-16341 118 27 found find VERB ajst-16341 118 28 to to PART ajst-16341 118 29 be be AUX ajst-16341 118 30 1.58%–9.78 1.58%–9.78 NUM ajst-16341 118 31 % % NOUN ajst-16341 118 32 , , PUNCT ajst-16341 118 33 and and CCONJ ajst-16341 118 34 the the DET ajst-16341 118 35 average average ADJ ajst-16341 118 36 error error NOUN ajst-16341 118 37 of of ADP ajst-16341 118 38 the the DET ajst-16341 118 39 thermal thermal ADJ ajst-16341 118 40 conductivity conductivity NOUN ajst-16341 118 41 prediction prediction NOUN ajst-16341 118 42 model model NOUN ajst-16341 118 43 is be AUX ajst-16341 118 44 5.77 5.77 NUM ajst-16341 118 45 % % NOUN ajst-16341 118 46 , , PUNCT ajst-16341 118 47 moreover moreover ADV ajst-16341 118 48 , , PUNCT ajst-16341 118 49 its its PRON ajst-16341 118 50 average average ADJ ajst-16341 118 51 error error NOUN ajst-16341 118 52 is be AUX ajst-16341 118 53 11.58 11.58 NUM ajst-16341 118 54 % % NOUN ajst-16341 118 55 lower low ADJ ajst-16341 118 56 than than ADP ajst-16341 118 57 that that PRON ajst-16341 118 58 of of ADP ajst-16341 118 59 thermal thermal ADJ ajst-16341 118 60 conductivity conductivity NOUN ajst-16341 118 61 prediction prediction NOUN ajst-16341 118 62 model model NOUN ajst-16341 118 63 established establish VERB ajst-16341 118 64 by by ADP ajst-16341 118 65 sierpinski sierpinski ADJ ajst-16341 118 66 carpet carpet NOUN ajst-16341 118 67 with with ADP ajst-16341 118 68 3 3 NUM ajst-16341 118 69 3 3 NUM ajst-16341 118 70 cell cell NOUN ajst-16341 118 71 structure structure NOUN ajst-16341 118 72 . . PUNCT ajst-16341 119 1 this this DET ajst-16341 119 2 finding finding NOUN ajst-16341 119 3 embodies embody VERB ajst-16341 119 4 that that SCONJ ajst-16341 119 5 the the DET ajst-16341 119 6 proposed propose VERB ajst-16341 119 7 thermal thermal ADJ ajst-16341 119 8 conductivity conductivity NOUN ajst-16341 119 9 prediction prediction NOUN ajst-16341 119 10 model model NOUN ajst-16341 119 11 of of ADP ajst-16341 119 12 aerogel aerogel NOUN ajst-16341 119 13 established establish VERB ajst-16341 119 14 is be AUX ajst-16341 119 15 effective effective ADJ ajst-16341 119 16 and and CCONJ ajst-16341 119 17 reliable reliable ADJ ajst-16341 119 18 . . PUNCT ajst-16341 120 1 results result NOUN ajst-16341 120 2 show show VERB ajst-16341 120 3 that that SCONJ ajst-16341 120 4 the the DET ajst-16341 120 5 fractal fractal ADJ ajst-16341 120 6 structure structure NOUN ajst-16341 120 7 of of ADP ajst-16341 120 8 sierpinski sierpinski ADJ ajst-16341 120 9 pet pet NOUN ajst-16341 120 10 has have VERB ajst-16341 120 11 a a DET ajst-16341 120 12 certain certain ADJ ajst-16341 120 13 influence influence NOUN ajst-16341 120 14 on on ADP ajst-16341 120 15 the the DET ajst-16341 120 16 prediction prediction NOUN ajst-16341 120 17 of of ADP ajst-16341 120 18 thermal thermal ADJ ajst-16341 120 19 conductivity conductivity NOUN ajst-16341 120 20 of of ADP ajst-16341 120 21 aerogel aerogel NOUN ajst-16341 120 22 , , PUNCT ajst-16341 120 23 and and CCONJ ajst-16341 120 24 provides provide VERB ajst-16341 120 25 more more ADJ ajst-16341 120 26 computational computational ADJ ajst-16341 120 27 model model NOUN ajst-16341 120 28 ideas idea NOUN ajst-16341 120 29 for for ADP ajst-16341 120 30 the the DET ajst-16341 120 31 study study NOUN ajst-16341 120 32 of of ADP ajst-16341 120 33 thermal thermal ADJ ajst-16341 120 34 conductivity conductivity NOUN ajst-16341 120 35 of of ADP ajst-16341 120 36 other other ADJ ajst-16341 120 37 porous porous ADJ ajst-16341 120 38 materials material NOUN ajst-16341 120 39 . . PUNCT ajst-16341 121 1 through through ADP ajst-16341 121 2 the the DET ajst-16341 121 3 establishment establishment NOUN ajst-16341 121 4 of of ADP ajst-16341 121 5 pore pore ADJ ajst-16341 121 6 fractal fractal ADJ ajst-16341 121 7 model model NOUN ajst-16341 121 8 and and CCONJ ajst-16341 121 9 calculation calculation NOUN ajst-16341 121 10 simulation simulation NOUN ajst-16341 121 11 , , PUNCT ajst-16341 121 12 we we PRON ajst-16341 121 13 can can AUX ajst-16341 121 14 predict predict VERB ajst-16341 121 15 the the DET ajst-16341 121 16 thermal thermal ADJ ajst-16341 121 17 conductivity conductivity NOUN ajst-16341 121 18 of of ADP ajst-16341 121 19 aerogel aerogel NOUN ajst-16341 121 20 materials material NOUN ajst-16341 121 21 with with ADP ajst-16341 121 22 different different ADJ ajst-16341 121 23 pore pore ADJ ajst-16341 121 24 sizes size NOUN ajst-16341 121 25 and and CCONJ ajst-16341 121 26 study study VERB ajst-16341 121 27 the the DET ajst-16341 121 28 change change NOUN ajst-16341 121 29 trend trend NOUN ajst-16341 121 30 of of ADP ajst-16341 121 31 thermal thermal ADJ ajst-16341 121 32 conductivity conductivity NOUN ajst-16341 121 33 with with ADP ajst-16341 121 34 the the DET ajst-16341 121 35 change change NOUN ajst-16341 121 36 in in ADP ajst-16341 121 37 pore pore ADJ ajst-16341 121 38 size size NOUN ajst-16341 121 39 distribution distribution NOUN ajst-16341 121 40 . . PUNCT ajst-16341 122 1 acknowledgment acknowledgment NOUN ajst-16341 122 2 the the DET ajst-16341 122 3 authors author NOUN ajst-16341 122 4 would would AUX ajst-16341 122 5 like like VERB ajst-16341 122 6 to to PART ajst-16341 122 7 thank thank VERB ajst-16341 122 8 the the DET ajst-16341 122 9 national national ADJ ajst-16341 122 10 natural natural PROPN ajst-16341 122 11 science science PROPN ajst-16341 122 12 foundation foundation PROPN ajst-16341 122 13 of of ADP ajst-16341 122 14 china china PROPN ajst-16341 122 15 ( ( PUNCT ajst-16341 122 16 52273059 52273059 NUM ajst-16341 122 17 ) ) PUNCT ajst-16341 122 18 and and CCONJ ajst-16341 122 19 the the DET ajst-16341 122 20 science science NOUN ajst-16341 122 21 and and CCONJ ajst-16341 122 22 technology technology NOUN ajst-16341 122 23 plans plan NOUN ajst-16341 122 24 of of ADP ajst-16341 122 25 tianjin tianjin PROPN ajst-16341 122 26 ( ( PUNCT ajst-16341 122 27 22jcybjc01030 22jcybjc01030 NUM ajst-16341 122 28 ) ) PUNCT ajst-16341 122 29 for for ADP ajst-16341 122 30 their their PRON ajst-16341 122 31 financial financial ADJ ajst-16341 122 32 supports support NOUN ajst-16341 122 33 . . PUNCT ajst-16341 123 1 conflict conflict NOUN ajst-16341 123 2 of of ADP ajst-16341 123 3 interest interest NOUN ajst-16341 123 4 the the DET ajst-16341 123 5 authors author NOUN ajst-16341 123 6 have have VERB ajst-16341 123 7 no no DET ajst-16341 123 8 conflicts conflict NOUN ajst-16341 123 9 to to PART ajst-16341 123 10 disclose disclose VERB ajst-16341 123 11 . . PUNCT ajst-16341 124 1 data datum NOUN ajst-16341 124 2 availability availability NOUN ajst-16341 124 3 the the DET ajst-16341 124 4 data datum NOUN ajst-16341 124 5 that that PRON ajst-16341 124 6 supports support VERB ajst-16341 124 7 the the DET ajst-16341 124 8 findings finding NOUN ajst-16341 124 9 of of ADP ajst-16341 124 10 this this DET ajst-16341 124 11 study study NOUN ajst-16341 124 12 are be AUX ajst-16341 124 13 available available ADJ ajst-16341 124 14 within within ADP ajst-16341 124 15 the the DET ajst-16341 124 16 article article NOUN ajst-16341 124 17 . . PUNCT ajst-16341 125 1 references reference NOUN ajst-16341 125 2 [ [ X ajst-16341 125 3 1 1 NUM ajst-16341 125 4 ] ] PUNCT ajst-16341 125 5 p. p. NOUN ajst-16341 125 6 schmidt schmidt PROPN ajst-16341 125 7 - - PUNCT ajst-16341 125 8 winkel winkel PROPN ajst-16341 125 9 , , PUNCT ajst-16341 125 10 w. w. PROPN ajst-16341 125 11 w. w. PROPN ajst-16341 125 12 lukens lukens PROPN ajst-16341 125 13 , , PUNCT ajst-16341 125 14 p. p. PROPN ajst-16341 125 15 d. d. PROPN ajst-16341 125 16 yang yang PROPN ajst-16341 125 17 , , PUNCT ajst-16341 125 18 d. d. PROPN ajst-16341 125 19 l. l. PROPN ajst-16341 125 20 margolese margolese PROPN ajst-16341 125 21 , , PUNCT ajst-16341 125 22 j. j. PROPN ajst-16341 125 23 s. s. PROPN ajst-16341 125 24 lettow lettow PROPN ajst-16341 125 25 , , PUNCT ajst-16341 125 26 j. j. PROPN ajst-16341 125 27 y. y. PROPN ajst-16341 125 28 ying ying PROPN ajst-16341 125 29 , , PUNCT ajst-16341 125 30 and and CCONJ ajst-16341 125 31 g. g. PROPN ajst-16341 125 32 d. d. PROPN ajst-16341 125 33 stuck stick VERB ajst-16341 125 34 , , PUNCT ajst-16341 125 35 β€œ " PUNCT ajst-16341 125 36 microemulsion microemulsion NOUN ajst-16341 125 37 templating templating NOUN ajst-16341 125 38 of of ADP ajst-16341 125 39 siliceous siliceous ADJ ajst-16341 125 40 mesostructured mesostructure VERB ajst-16341 125 41 cellular cellular ADJ ajst-16341 125 42 foams foam NOUN ajst-16341 125 43 with with ADP ajst-16341 125 44 well well ADV ajst-16341 125 45 - - PUNCT ajst-16341 125 46 defined define VERB ajst-16341 125 47 ultralarge ultralarge NOUN ajst-16341 125 48 mesopores mesopore NOUN ajst-16341 125 49 ” " PUNCT ajst-16341 125 50 , , PUNCT ajst-16341 125 51 chem chem NOUN ajst-16341 125 52 . . PUNCT ajst-16341 126 1 mater mater NOUN ajst-16341 126 2 . . PUNCT ajst-16341 127 1 12(3 12(3 NUM ajst-16341 127 2 ) ) PUNCT ajst-16341 127 3 , , PUNCT ajst-16341 127 4 686 686 NUM ajst-16341 127 5 - - SYM ajst-16341 127 6 696(2000 696(2000 NUM ajst-16341 127 7 ) ) PUNCT ajst-16341 127 8 . . PUNCT ajst-16341 128 1 [ [ X ajst-16341 128 2 2 2 X ajst-16341 128 3 ] ] X ajst-16341 128 4 y. y. NOUN ajst-16341 128 5 si si PROPN ajst-16341 128 6 , , PUNCT ajst-16341 128 7 j. j. PROPN ajst-16341 128 8 y. y. PROPN ajst-16341 128 9 yu yu PROPN ajst-16341 128 10 , , PUNCT ajst-16341 128 11 x. x. PROPN ajst-16341 128 12 m. m. PROPN ajst-16341 128 13 tang tang PROPN ajst-16341 128 14 , , PUNCT ajst-16341 128 15 j. j. PROPN ajst-16341 128 16 l. l. PROPN ajst-16341 128 17 ge ge PROPN ajst-16341 128 18 , , PUNCT ajst-16341 128 19 and and CCONJ ajst-16341 128 20 b. b. PROPN ajst-16341 128 21 ding ding PROPN ajst-16341 128 22 , , PUNCT ajst-16341 128 23 β€œ " PUNCT ajst-16341 128 24 ultralight ultralight ADJ ajst-16341 128 25 nanofiber nanofiber NOUN ajst-16341 128 26 assembled assemble VERB ajst-16341 128 27 cellular cellular ADJ ajst-16341 128 28 aerogels aerogel NOUN ajst-16341 128 29 with with ADP ajst-16341 128 30 superelasticity superelasticity NOUN ajst-16341 128 31 and and CCONJ ajst-16341 128 32 multifunctionality multifunctionality NOUN ajst-16341 128 33 , , PUNCT ajst-16341 128 34 ” " PUNCT ajst-16341 128 35 nat nat PROPN ajst-16341 128 36 . . PUNCT ajst-16341 129 1 commun commun PROPN ajst-16341 129 2 . . PUNCT ajst-16341 130 1 5(1 5(1 NUM ajst-16341 130 2 ) ) PUNCT ajst-16341 130 3 , , PUNCT ajst-16341 130 4 5802(2014 5802(2014 NUM ajst-16341 130 5 ) ) PUNCT ajst-16341 130 6 . . PUNCT ajst-16341 131 1 [ [ X ajst-16341 131 2 3 3 X ajst-16341 131 3 ] ] X ajst-16341 131 4 h. h. PROPN ajst-16341 131 5 y. y. PROPN ajst-16341 131 6 li li PROPN ajst-16341 131 7 , , PUNCT ajst-16341 131 8 q. q. PROPN ajst-16341 131 9 wang wang PROPN ajst-16341 131 10 , , PUNCT ajst-16341 131 11 y. y. PROPN ajst-16341 131 12 h. h. PROPN ajst-16341 131 13 hu hu PROPN ajst-16341 131 14 , , PUNCT ajst-16341 131 15 g. g. PROPN ajst-16341 131 16 yang yang PROPN ajst-16341 131 17 , , PUNCT ajst-16341 131 18 l. l. PROPN ajst-16341 131 19 shi shi PROPN ajst-16341 131 20 , , PUNCT ajst-16341 131 21 b. b. PROPN ajst-16341 131 22 cheng cheng PROPN ajst-16341 131 23 , , PUNCT ajst-16341 131 24 and and CCONJ ajst-16341 131 25 x. x. PROPN ajst-16341 131 26 p. p. PROPN ajst-16341 131 27 zhuang zhuang PROPN ajst-16341 131 28 , , PUNCT ajst-16341 131 29 β€œ " PUNCT ajst-16341 131 30 aramid aramid NOUN ajst-16341 131 31 fibril fibril ADJ ajst-16341 131 32 aerogel aerogel NOUN ajst-16341 131 33 from from ADP ajst-16341 131 34 steamexploded steamexplode VERB ajst-16341 131 35 ppta ppta NOUN ajst-16341 131 36 pulp pulp NOUN ajst-16341 131 37 for for ADP ajst-16341 131 38 thermal thermal ADJ ajst-16341 131 39 insulation insulation NOUN ajst-16341 131 40 , , PUNCT ajst-16341 131 41 ” " PUNCT ajst-16341 131 42 j. j. PROPN ajst-16341 131 43 polym polym PROPN ajst-16341 131 44 . . PUNCT ajst-16341 132 1 res re NOUN ajst-16341 132 2 . . PUNCT ajst-16341 132 3 29(4 29(4 NOUN ajst-16341 132 4 ) ) PUNCT ajst-16341 132 5 , , PUNCT ajst-16341 132 6 144(2022 144(2022 NUM ajst-16341 132 7 ) ) PUNCT ajst-16341 132 8 . . PUNCT ajst-16341 133 1 [ [ X ajst-16341 133 2 4 4 X ajst-16341 133 3 ] ] PUNCT ajst-16341 133 4 m. m. PROPN ajst-16341 133 5 r. r. PROPN ajst-16341 133 6 wang wang PROPN ajst-16341 133 7 , , PUNCT ajst-16341 133 8 j. j. PROPN ajst-16341 133 9 h. h. PROPN ajst-16341 133 10 he he PROPN ajst-16341 133 11 , , PUNCT ajst-16341 133 12 j. j. PROPN ajst-16341 133 13 y. y. PROPN ajst-16341 133 14 yu yu PROPN ajst-16341 133 15 , , PUNCT ajst-16341 133 16 and and CCONJ ajst-16341 133 17 n. n. PROPN ajst-16341 133 18 pan pan PROPN ajst-16341 133 19 , , PUNCT ajst-16341 133 20 β€œ " PUNCT ajst-16341 133 21 lattice lattice ADJ ajst-16341 133 22 boltzmann boltzmann PROPN ajst-16341 133 23 modeling modeling NOUN ajst-16341 133 24 of of ADP ajst-16341 133 25 the the DET ajst-16341 133 26 effective effective ADJ ajst-16341 133 27 thermal thermal ADJ ajst-16341 133 28 conductivity conductivity NOUN ajst-16341 133 29 for for ADP ajst-16341 133 30 fibrous fibrous ADJ ajst-16341 133 31 materials material NOUN ajst-16341 133 32 , , PUNCT ajst-16341 133 33 ” " PUNCT ajst-16341 133 34 int int NOUN ajst-16341 133 35 . . PUNCT ajst-16341 134 1 j. j. PROPN ajst-16341 134 2 therm therm PROPN ajst-16341 134 3 . . PUNCT ajst-16341 135 1 sci sci PROPN ajst-16341 135 2 . . PUNCT ajst-16341 136 1 46(9 46(9 NUM ajst-16341 136 2 ) ) PUNCT ajst-16341 136 3 848 848 NUM ajst-16341 136 4 - - NUM ajst-16341 136 5 855(2007 855(2007 NUM ajst-16341 136 6 ) ) PUNCT ajst-16341 136 7 . . PUNCT ajst-16341 137 1 161 161 NUM ajst-16341 138 1 [ [ SYM ajst-16341 138 2 5 5 NUM ajst-16341 138 3 ] ] PUNCT ajst-16341 138 4 j. j. PROPN ajst-16341 138 5 fricke fricke PROPN ajst-16341 138 6 , , PUNCT ajst-16341 138 7 x. x. NOUN ajst-16341 138 8 lu lu PROPN ajst-16341 138 9 , , PUNCT ajst-16341 138 10 p. p. PROPN ajst-16341 138 11 wang wang PROPN ajst-16341 138 12 , , PUNCT ajst-16341 138 13 d. d. PROPN ajst-16341 138 14 bΓΌttner bΓΌttner PROPN ajst-16341 138 15 , , PUNCT ajst-16341 138 16 and and CCONJ ajst-16341 138 17 u. u. PROPN ajst-16341 138 18 heinemann heinemann PROPN ajst-16341 138 19 , , PUNCT ajst-16341 138 20 β€œ " PUNCT ajst-16341 138 21 optimization optimization NOUN ajst-16341 138 22 of of ADP ajst-16341 138 23 monolithic monolithic ADJ ajst-16341 138 24 silica silica NOUN ajst-16341 138 25 aerogel aerogel NOUN ajst-16341 138 26 insulants insulant NOUN ajst-16341 138 27 , , PUNCT ajst-16341 138 28 ” " PUNCT ajst-16341 138 29 int int NOUN ajst-16341 138 30 . . PUNCT ajst-16341 139 1 j. j. PROPN ajst-16341 139 2 heat heat PROPN ajst-16341 139 3 mass mass PROPN ajst-16341 139 4 transf transf NOUN ajst-16341 139 5 . . PUNCT ajst-16341 140 1 35(9 35(9 NUM ajst-16341 140 2 ) ) PUNCT ajst-16341 140 3 , , PUNCT ajst-16341 140 4 2305 2305 NUM ajst-16341 140 5 - - SYM ajst-16341 140 6 2309(1992 2309(1992 NUM ajst-16341 140 7 ) ) PUNCT ajst-16341 140 8 . . PUNCT ajst-16341 141 1 [ [ X ajst-16341 141 2 6 6 X ajst-16341 141 3 ] ] PUNCT ajst-16341 141 4 s. s. PROPN ajst-16341 141 5 s. s. PROPN ajst-16341 141 6 kistler kistler PROPN ajst-16341 141 7 , , PUNCT ajst-16341 141 8 β€œ " PUNCT ajst-16341 141 9 the the DET ajst-16341 141 10 relation relation NOUN ajst-16341 141 11 between between ADP ajst-16341 141 12 heat heat NOUN ajst-16341 141 13 conductivity conductivity NOUN ajst-16341 141 14 and and CCONJ ajst-16341 141 15 structure structure NOUN ajst-16341 141 16 in in ADP ajst-16341 141 17 silica silica NOUN ajst-16341 141 18 aerogel aerogel NOUN ajst-16341 141 19 , , PUNCT ajst-16341 141 20 ” " PUNCT ajst-16341 141 21 j. j. PROPN ajst-16341 141 22 phys phys PROPN ajst-16341 141 23 . . PUNCT ajst-16341 142 1 chem chem PROPN ajst-16341 142 2 . . PUNCT ajst-16341 143 1 39(1 39(1 NUM ajst-16341 143 2 ) ) PUNCT ajst-16341 143 3 , , PUNCT ajst-16341 143 4 79 79 NUM ajst-16341 143 5 - - PUNCT ajst-16341 143 6 86(1935 86(1935 NUM ajst-16341 143 7 ) ) PUNCT ajst-16341 143 8 . . PUNCT ajst-16341 144 1 [ [ X ajst-16341 144 2 7 7 X ajst-16341 144 3 ] ] PUNCT ajst-16341 144 4 m. m. NOUN ajst-16341 144 5 g. g. PROPN ajst-16341 144 6 e. e. PROPN ajst-16341 144 7 kaganer kaganer PROPN ajst-16341 144 8 , , PUNCT ajst-16341 144 9 a. a. NOUN ajst-16341 144 10 moscona moscona NOUN ajst-16341 144 11 , , PUNCT ajst-16341 144 12 β€œ " PUNCT ajst-16341 144 13 thermal thermal ADJ ajst-16341 144 14 insulation insulation NOUN ajst-16341 144 15 in in ADP ajst-16341 144 16 cryogenic cryogenic ADJ ajst-16341 144 17 engineering engineering NOUN ajst-16341 144 18 , , PUNCT ajst-16341 144 19 ” " PUNCT ajst-16341 144 20 california california PROPN ajst-16341 144 21 : : PUNCT ajst-16341 144 22 israel israel PROPN ajst-16341 144 23 program program PROPN ajst-16341 144 24 for for ADP ajst-16341 144 25 scientific scientific ADJ ajst-16341 144 26 translations translation NOUN ajst-16341 144 27 jerusalem jerusalem PROPN ajst-16341 144 28 . . PUNCT ajst-16341 145 1 ( ( PUNCT ajst-16341 145 2 1969 1969 NUM ajst-16341 145 3 ) ) PUNCT ajst-16341 145 4 . . PUNCT ajst-16341 146 1 [ [ X ajst-16341 146 2 8 8 NUM ajst-16341 146 3 ] ] PUNCT ajst-16341 146 4 z. z. PROPN ajst-16341 146 5 m. m. PROPN ajst-16341 146 6 zhang zhang PROPN ajst-16341 146 7 , , PUNCT ajst-16341 146 8 β€œ " PUNCT ajst-16341 146 9 nano nano ADJ ajst-16341 146 10 / / SYM ajst-16341 146 11 microscale microscale ADJ ajst-16341 146 12 heat heat NOUN ajst-16341 146 13 transfer transfer NOUN ajst-16341 146 14 , , PUNCT ajst-16341 146 15 ” " PUNCT ajst-16341 146 16 usa usa PROPN ajst-16341 146 17 : : PUNCT ajst-16341 146 18 mcgraw mcgraw PROPN ajst-16341 146 19 - - PUNCT ajst-16341 146 20 hill hill NOUN ajst-16341 146 21 companies company NOUN ajst-16341 146 22 . . PUNCT ajst-16341 147 1 ( ( PUNCT ajst-16341 147 2 2007 2007 NUM ajst-16341 147 3 ) ) PUNCT ajst-16341 147 4 . . PUNCT ajst-16341 148 1 [ [ X ajst-16341 148 2 9 9 X ajst-16341 148 3 ] ] PUNCT ajst-16341 148 4 s. s. PROPN ajst-16341 148 5 q. q. PROPN ajst-16341 148 6 zeng zeng PROPN ajst-16341 148 7 , , PUNCT ajst-16341 148 8 a. a. NOUN ajst-16341 148 9 hunt hunt PROPN ajst-16341 148 10 , , PUNCT ajst-16341 148 11 and and CCONJ ajst-16341 148 12 r. r. NOUN ajst-16341 148 13 greif greif NOUN ajst-16341 148 14 , , PUNCT ajst-16341 148 15 β€œ " PUNCT ajst-16341 148 16 theoretical theoretical ADJ ajst-16341 148 17 modeling modeling NOUN ajst-16341 148 18 of of ADP ajst-16341 148 19 carbon carbon NOUN ajst-16341 148 20 content content NOUN ajst-16341 148 21 to to PART ajst-16341 148 22 minimize minimize VERB ajst-16341 148 23 heat heat NOUN ajst-16341 148 24 transfer transfer NOUN ajst-16341 148 25 in in ADP ajst-16341 148 26 silica silica NOUN ajst-16341 148 27 aerogel aerogel NOUN ajst-16341 148 28 , , PUNCT ajst-16341 148 29 ” " PUNCT ajst-16341 148 30 j. j. PROPN ajst-16341 148 31 non non PROPN ajst-16341 148 32 - - PROPN ajst-16341 148 33 cryst cryst NOUN ajst-16341 148 34 . . PUNCT ajst-16341 149 1 solids solid NOUN ajst-16341 149 2 . . PUNCT ajst-16341 150 1 186 186 NUM ajst-16341 150 2 , , PUNCT ajst-16341 150 3 271 271 NUM ajst-16341 150 4 - - NUM ajst-16341 150 5 277(1995 277(1995 NUM ajst-16341 150 6 ) ) PUNCT ajst-16341 150 7 . . PUNCT ajst-16341 151 1 [ [ X ajst-16341 151 2 10 10 NUM ajst-16341 151 3 ] ] X ajst-16341 151 4 g. g. PROPN ajst-16341 151 5 h. h. PROPN ajst-16341 151 6 tang tang PROPN ajst-16341 151 7 , , PUNCT ajst-16341 151 8 c. c. PROPN ajst-16341 151 9 bi bi PROPN ajst-16341 151 10 , , PUNCT ajst-16341 151 11 y. y. PROPN ajst-16341 151 12 zhao zhao PROPN ajst-16341 151 13 , , PUNCT ajst-16341 151 14 and and CCONJ ajst-16341 151 15 w. w. PROPN ajst-16341 151 16 q. q. PROPN ajst-16341 151 17 tao tao PROPN ajst-16341 151 18 , , PUNCT ajst-16341 151 19 β€œ " PUNCT ajst-16341 151 20 thermal thermal ADJ ajst-16341 151 21 transport transport NOUN ajst-16341 151 22 in in ADP ajst-16341 151 23 nano nano NOUN ajst-16341 151 24 - - PUNCT ajst-16341 151 25 porous porous ADJ ajst-16341 151 26 insulation insulation NOUN ajst-16341 151 27 of of ADP ajst-16341 151 28 aerogel aerogel NOUN ajst-16341 151 29 : : PUNCT ajst-16341 151 30 factors factor NOUN ajst-16341 151 31 , , PUNCT ajst-16341 151 32 models model NOUN ajst-16341 151 33 and and CCONJ ajst-16341 151 34 outlook outlook NOUN ajst-16341 151 35 , , PUNCT ajst-16341 151 36 ” " PUNCT ajst-16341 151 37 energy energy NOUN ajst-16341 151 38 . . PUNCT ajst-16341 152 1 90(1 90(1 NUM ajst-16341 152 2 ) ) PUNCT ajst-16341 153 1 , , PUNCT ajst-16341 153 2 701 701 NUM ajst-16341 153 3 - - SYM ajst-16341 153 4 721(2015 721(2015 NUM ajst-16341 153 5 ) ) PUNCT ajst-16341 153 6 . . PUNCT ajst-16341 154 1 [ [ X ajst-16341 154 2 11 11 NUM ajst-16341 154 3 ] ] PUNCT ajst-16341 154 4 z. z. PROPN ajst-16341 154 5 x. x. PROPN ajst-16341 154 6 tong tong PROPN ajst-16341 154 7 , , PUNCT ajst-16341 154 8 m. m. PROPN ajst-16341 154 9 j. j. PROPN ajst-16341 154 10 li li PROPN ajst-16341 154 11 , , PUNCT ajst-16341 154 12 t. t. PROPN ajst-16341 154 13 xie xie PROPN ajst-16341 154 14 , , PUNCT ajst-16341 154 15 and and CCONJ ajst-16341 154 16 z. z. PROPN ajst-16341 154 17 l. l. PROPN ajst-16341 154 18 gu gu PROPN ajst-16341 154 19 , , PUNCT ajst-16341 154 20 β€œ " PUNCT ajst-16341 154 21 lattice lattice PROPN ajst-16341 154 22 boltzmann boltzmann PROPN ajst-16341 154 23 method method NOUN ajst-16341 154 24 for for ADP ajst-16341 154 25 conduction conduction NOUN ajst-16341 154 26 and and CCONJ ajst-16341 154 27 radiation radiation NOUN ajst-16341 154 28 heat heat NOUN ajst-16341 154 29 transfer transfer NOUN ajst-16341 154 30 in in ADP ajst-16341 154 31 composite composite ADJ ajst-16341 154 32 materials material NOUN ajst-16341 154 33 , , PUNCT ajst-16341 154 34 ” " PUNCT ajst-16341 154 35 j. j. PROPN ajst-16341 154 36 therm therm PROPN ajst-16341 154 37 . . PUNCT ajst-16341 155 1 sci sci PROPN ajst-16341 155 2 . . PUNCT ajst-16341 155 3 31(3 31(3 NUM ajst-16341 155 4 ) ) PUNCT ajst-16341 155 5 , , PUNCT ajst-16341 155 6 777 777 NUM ajst-16341 155 7 - - SYM ajst-16341 155 8 789(2022 789(2022 NUM ajst-16341 155 9 ) ) PUNCT ajst-16341 155 10 . . PUNCT ajst-16341 156 1 [ [ X ajst-16341 156 2 12 12 NUM ajst-16341 156 3 ] ] PUNCT ajst-16341 156 4 a. a. NOUN ajst-16341 156 5 kasaeian kasaeian PROPN ajst-16341 156 6 , , PUNCT ajst-16341 156 7 r. r. PROPN ajst-16341 156 8 daneshazarian daneshazarian PROPN ajst-16341 156 9 , , PUNCT ajst-16341 156 10 o. o. PROPN ajst-16341 156 11 mahian mahian PROPN ajst-16341 156 12 , , PUNCT ajst-16341 156 13 l. l. PROPN ajst-16341 156 14 kolsi kolsi PROPN ajst-16341 156 15 , , PUNCT ajst-16341 156 16 a. a. PROPN ajst-16341 156 17 j. j. PROPN ajst-16341 156 18 chamkha chamkha PROPN ajst-16341 156 19 , , PUNCT ajst-16341 156 20 s. s. PROPN ajst-16341 156 21 wongwises wongwises PROPN ajst-16341 156 22 , , PUNCT ajst-16341 156 23 and and CCONJ ajst-16341 156 24 i.pop i.pop PROPN ajst-16341 156 25 , , PUNCT ajst-16341 156 26 β€œ " PUNCT ajst-16341 156 27 nanofluid nanofluid ADJ ajst-16341 156 28 flow flow NOUN ajst-16341 156 29 and and CCONJ ajst-16341 156 30 heat heat NOUN ajst-16341 156 31 transfer transfer NOUN ajst-16341 156 32 in in ADP ajst-16341 156 33 porous porous ADJ ajst-16341 156 34 media medium NOUN ajst-16341 156 35 : : PUNCT ajst-16341 156 36 a a DET ajst-16341 156 37 review review NOUN ajst-16341 156 38 of of ADP ajst-16341 156 39 the the DET ajst-16341 156 40 latest late ADJ ajst-16341 156 41 developments development NOUN ajst-16341 156 42 , , PUNCT ajst-16341 156 43 ” " PUNCT ajst-16341 156 44 int int NOUN ajst-16341 156 45 . . PUNCT ajst-16341 157 1 j. j. PROPN ajst-16341 157 2 heat heat PROPN ajst-16341 157 3 mass mass PROPN ajst-16341 157 4 transf transf NOUN ajst-16341 157 5 . . PUNCT ajst-16341 158 1 107 107 NUM ajst-16341 158 2 , , PUNCT ajst-16341 158 3 778 778 NUM ajst-16341 158 4 - - SYM ajst-16341 158 5 791(2017 791(2017 NUM ajst-16341 158 6 ) ) PUNCT ajst-16341 158 7 . . PUNCT ajst-16341 159 1 [ [ X ajst-16341 159 2 13 13 NUM ajst-16341 159 3 ] ] PUNCT ajst-16341 159 4 j. j. PROPN ajst-16341 159 5 m. m. PROPN ajst-16341 159 6 yang yang PROPN ajst-16341 159 7 , , PUNCT ajst-16341 159 8 h. h. PROPN ajst-16341 159 9 j. j. PROPN ajst-16341 159 10 wu wu PROPN ajst-16341 159 11 , , PUNCT ajst-16341 159 12 g. g. PROPN ajst-16341 159 13 s. s. PROPN ajst-16341 159 14 huang huang PROPN ajst-16341 159 15 , , PUNCT ajst-16341 159 16 y. y. PROPN ajst-16341 159 17 y. y. PROPN ajst-16341 159 18 liang liang PROPN ajst-16341 159 19 , , PUNCT ajst-16341 159 20 and and CCONJ ajst-16341 159 21 y. y. PROPN ajst-16341 159 22 d. d. PROPN ajst-16341 159 23 liao liao PROPN ajst-16341 159 24 , , PUNCT ajst-16341 159 25 β€œ " PUNCT ajst-16341 159 26 modeling modeling NOUN ajst-16341 159 27 and and CCONJ ajst-16341 159 28 coupling couple VERB ajst-16341 159 29 effect effect NOUN ajst-16341 159 30 evaluation evaluation NOUN ajst-16341 159 31 of of ADP ajst-16341 159 32 thermal thermal ADJ ajst-16341 159 33 conductivity conductivity NOUN ajst-16341 159 34 of of ADP ajst-16341 159 35 ternary ternary ADJ ajst-16341 159 36 opacifier opacifier NOUN ajst-16341 159 37 / / SYM ajst-16341 159 38 fiber fiber NOUN ajst-16341 159 39 / / SYM ajst-16341 159 40 aerogel aerogel NOUN ajst-16341 159 41 composites composite NOUN ajst-16341 159 42 for for ADP ajst-16341 159 43 super super ADJ ajst-16341 159 44 - - ADJ ajst-16341 159 45 thermal thermal ADJ ajst-16341 159 46 insulation insulation NOUN ajst-16341 159 47 , , PUNCT ajst-16341 159 48 ” " PUNCT ajst-16341 159 49 mater mater NOUN ajst-16341 159 50 . . PUNCT ajst-16341 160 1 des des PROPN ajst-16341 160 2 . . PROPN ajst-16341 160 3 133 133 NUM ajst-16341 160 4 , , PUNCT ajst-16341 160 5 224 224 NUM ajst-16341 160 6 - - PUNCT ajst-16341 160 7 236(2017 236(2017 NUM ajst-16341 160 8 ) ) PUNCT ajst-16341 160 9 . . PUNCT ajst-16341 161 1 [ [ X ajst-16341 161 2 14 14 NUM ajst-16341 161 3 ] ] PUNCT ajst-16341 161 4 j. j. PROPN ajst-16341 161 5 f. f. PROPN ajst-16341 161 6 guo guo PROPN ajst-16341 161 7 , , PUNCT ajst-16341 161 8 and and CCONJ ajst-16341 161 9 g. g. PROPN ajst-16341 161 10 h. h. PROPN ajst-16341 161 11 tang tang PROPN ajst-16341 161 12 , , PUNCT ajst-16341 161 13 β€œ " PUNCT ajst-16341 161 14 a a DET ajst-16341 161 15 theoretical theoretical ADJ ajst-16341 161 16 model model NOUN ajst-16341 161 17 for for ADP ajst-16341 161 18 gascontributed gascontribute VERB ajst-16341 161 19 thermal thermal ADJ ajst-16341 161 20 conductivity conductivity NOUN ajst-16341 161 21 in in ADP ajst-16341 161 22 nanoporous nanoporous ADJ ajst-16341 161 23 aerogels aerogel NOUN ajst-16341 161 24 , , PUNCT ajst-16341 161 25 ” " PUNCT ajst-16341 161 26 int int NOUN ajst-16341 161 27 . . PUNCT ajst-16341 162 1 j. j. PROPN ajst-16341 162 2 heat heat PROPN ajst-16341 162 3 mass mass PROPN ajst-16341 162 4 transf transf NOUN ajst-16341 162 5 . . PUNCT ajst-16341 163 1 137 137 NUM ajst-16341 163 2 , , PUNCT ajst-16341 163 3 64 64 NUM ajst-16341 163 4 - - PUNCT ajst-16341 163 5 73(2019 73(2019 NUM ajst-16341 163 6 ) ) PUNCT ajst-16341 163 7 . . PUNCT ajst-16341 164 1 [ [ X ajst-16341 164 2 15 15 NUM ajst-16341 164 3 ] ] X ajst-16341 164 4 c. c. PROPN ajst-16341 164 5 y. y. PROPN ajst-16341 164 6 zhu zhu PROPN ajst-16341 164 7 , , PUNCT ajst-16341 164 8 z. z. PROPN ajst-16341 164 9 y. y. PROPN ajst-16341 164 10 li li PROPN ajst-16341 164 11 , , PUNCT ajst-16341 164 12 h. h. PROPN ajst-16341 164 13 q. q. PROPN ajst-16341 164 14 pang pang PROPN ajst-16341 164 15 , , PUNCT ajst-16341 164 16 and and CCONJ ajst-16341 164 17 n. n. PROPN ajst-16341 164 18 pan pan PROPN ajst-16341 164 19 , , PUNCT ajst-16341 164 20 β€œ " PUNCT ajst-16341 164 21 numerical numerical ADJ ajst-16341 164 22 modeling modeling NOUN ajst-16341 164 23 of of ADP ajst-16341 164 24 the the DET ajst-16341 164 25 gas gas NOUN ajst-16341 164 26 - - PUNCT ajst-16341 164 27 contributed contribute VERB ajst-16341 164 28 thermal thermal ADJ ajst-16341 164 29 conductivity conductivity NOUN ajst-16341 164 30 of of ADP ajst-16341 164 31 aerogels aerogel NOUN ajst-16341 164 32 , , PUNCT ajst-16341 164 33 ” " PUNCT ajst-16341 164 34 int int NOUN ajst-16341 164 35 . . PUNCT ajst-16341 165 1 j. j. PROPN ajst-16341 165 2 heat heat PROPN ajst-16341 165 3 mass mass PROPN ajst-16341 165 4 transf transf NOUN ajst-16341 165 5 . . PUNCT ajst-16341 166 1 131 131 NUM ajst-16341 166 2 , , PUNCT ajst-16341 166 3 217 217 NUM ajst-16341 166 4 - - SYM ajst-16341 166 5 225(2019 225(2019 NUM ajst-16341 166 6 ) ) PUNCT ajst-16341 166 7 . . PUNCT ajst-16341 167 1 [ [ X ajst-16341 167 2 16 16 NUM ajst-16341 167 3 ] ] PUNCT ajst-16341 167 4 s. s. PROPN ajst-16341 167 5 o. o. PROPN ajst-16341 167 6 zeng zeng PROPN ajst-16341 167 7 , , PUNCT ajst-16341 167 8 a. a. NOUN ajst-16341 167 9 hunt hunt PROPN ajst-16341 167 10 , , PUNCT ajst-16341 167 11 and and CCONJ ajst-16341 167 12 r. r. NOUN ajst-16341 167 13 greif greif NOUN ajst-16341 167 14 , , PUNCT ajst-16341 167 15 β€œ " PUNCT ajst-16341 167 16 geometric geometric ADJ ajst-16341 167 17 structure structure NOUN ajst-16341 167 18 and and CCONJ ajst-16341 167 19 thermal thermal ADJ ajst-16341 167 20 conductivity conductivity NOUN ajst-16341 167 21 of of ADP ajst-16341 167 22 porous porous ADJ ajst-16341 167 23 medium medium NOUN ajst-16341 167 24 silica silica NOUN ajst-16341 167 25 aerogel aerogel NOUN ajst-16341 167 26 , , PUNCT ajst-16341 167 27 ” " PUNCT ajst-16341 167 28 j. j. PROPN ajst-16341 167 29 heat heat NOUN ajst-16341 167 30 transfer transfer NOUN ajst-16341 167 31 . . PUNCT ajst-16341 168 1 117(4 117(4 NUM ajst-16341 168 2 ) ) PUNCT ajst-16341 168 3 , , PUNCT ajst-16341 168 4 1055 1055 NUM ajst-16341 168 5 - - SYM ajst-16341 168 6 1058 1058 NUM ajst-16341 168 7 ( ( PUNCT ajst-16341 168 8 1995 1995 NUM ajst-16341 168 9 ) ) PUNCT ajst-16341 168 10 . . PUNCT ajst-16341 169 1 [ [ X ajst-16341 169 2 17 17 NUM ajst-16341 169 3 ] ] X ajst-16341 169 4 g. g. PROPN ajst-16341 169 5 wei wei PROPN ajst-16341 169 6 , , PUNCT ajst-16341 169 7 x. x. PROPN ajst-16341 169 8 zhang zhang PROPN ajst-16341 169 9 , , PUNCT ajst-16341 169 10 and and CCONJ ajst-16341 169 11 f. f. PROPN ajst-16341 169 12 yu yu PROPN ajst-16341 169 13 , , PUNCT ajst-16341 169 14 β€œ " PUNCT ajst-16341 169 15 effective effective ADJ ajst-16341 169 16 thermal thermal ADJ ajst-16341 169 17 conductivity conductivity NOUN ajst-16341 169 18 analysis analysis NOUN ajst-16341 169 19 of of ADP ajst-16341 169 20 xonotlite xonotlite NOUN ajst-16341 169 21 - - PUNCT ajst-16341 169 22 aerogel aerogel NOUN ajst-16341 169 23 composite composite ADJ ajst-16341 169 24 insulation insulation NOUN ajst-16341 169 25 material material NOUN ajst-16341 169 26 , , PUNCT ajst-16341 169 27 ” " PUNCT ajst-16341 169 28 j. j. PROPN ajst-16341 169 29 therm therm PROPN ajst-16341 169 30 . . PUNCT ajst-16341 170 1 sci sci PROPN ajst-16341 170 2 . . PROPN ajst-16341 170 3 18 18 NUM ajst-16341 170 4 , , PUNCT ajst-16341 170 5 142 142 NUM ajst-16341 170 6 - - SYM ajst-16341 170 7 149(2009 149(2009 NUM ajst-16341 170 8 ) ) PUNCT ajst-16341 170 9 . . PUNCT ajst-16341 171 1 [ [ X ajst-16341 171 2 18 18 NUM ajst-16341 171 3 ] ] X ajst-16341 171 4 d. d. PROPN ajst-16341 171 5 dan dan PROPN ajst-16341 171 6 , , PUNCT ajst-16341 171 7 h. h. PROPN ajst-16341 171 8 zhang zhang PROPN ajst-16341 171 9 , , PUNCT ajst-16341 171 10 and and CCONJ ajst-16341 171 11 w. w. PROPN ajst-16341 171 12 q. q. PROPN ajst-16341 171 13 tao tao PROPN ajst-16341 171 14 , , PUNCT ajst-16341 171 15 β€œ " PUNCT ajst-16341 171 16 effective effective ADJ ajst-16341 171 17 structure structure NOUN ajst-16341 171 18 of of ADP ajst-16341 171 19 aerogels aerogel NOUN ajst-16341 171 20 and and CCONJ ajst-16341 171 21 decomposed decompose VERB ajst-16341 171 22 contributions contribution NOUN ajst-16341 171 23 of of ADP ajst-16341 171 24 its its PRON ajst-16341 171 25 thermal thermal ADJ ajst-16341 171 26 conductivity conductivity NOUN ajst-16341 171 27 , , PUNCT ajst-16341 171 28 ” " PUNCT ajst-16341 171 29 appl appl NOUN ajst-16341 171 30 . . PUNCT ajst-16341 171 31 therm therm PROPN ajst-16341 171 32 . . PUNCT ajst-16341 172 1 eng eng PROPN ajst-16341 172 2 . . PUNCT ajst-16341 173 1 72(1 72(1 NOUN ajst-16341 173 2 ) ) PUNCT ajst-16341 173 3 , , PUNCT ajst-16341 173 4 2 2 NUM ajst-16341 173 5 - - SYM ajst-16341 173 6 9(2014 9(2014 NUM ajst-16341 173 7 ) ) PUNCT ajst-16341 173 8 . . PUNCT ajst-16341 174 1 [ [ X ajst-16341 174 2 19 19 NUM ajst-16341 174 3 ] ] X ajst-16341 174 4 g. g. PROPN ajst-16341 174 5 pia pia PROPN ajst-16341 174 6 , , PUNCT ajst-16341 174 7 l. l. PROPN ajst-16341 174 8 casnedi casnedi PROPN ajst-16341 174 9 , , PUNCT ajst-16341 174 10 and and CCONJ ajst-16341 174 11 u. u. PROPN ajst-16341 174 12 sanna sanna PROPN ajst-16341 174 13 , , PUNCT ajst-16341 174 14 β€œ " PUNCT ajst-16341 174 15 porous porous ADJ ajst-16341 174 16 ceramic ceramic ADJ ajst-16341 174 17 materials material NOUN ajst-16341 174 18 by by ADP ajst-16341 174 19 pore pore ADV ajst-16341 174 20 - - PUNCT ajst-16341 174 21 forming form VERB ajst-16341 174 22 agent agent NOUN ajst-16341 174 23 method method NOUN ajst-16341 174 24 : : PUNCT ajst-16341 174 25 an an DET ajst-16341 174 26 intermingled intermingle VERB ajst-16341 174 27 fractal fractal ADJ ajst-16341 174 28 units unit NOUN ajst-16341 174 29 analysis analysis NOUN ajst-16341 174 30 and and CCONJ ajst-16341 174 31 procedure procedure NOUN ajst-16341 174 32 to to PART ajst-16341 174 33 predict predict VERB ajst-16341 174 34 thermal thermal ADJ ajst-16341 174 35 conductivity conductivity NOUN ajst-16341 174 36 , , PUNCT ajst-16341 174 37 ” " PUNCT ajst-16341 174 38 ceram ceram NOUN ajst-16341 174 39 . . PUNCT ajst-16341 175 1 int int NOUN ajst-16341 175 2 . . PUNCT ajst-16341 176 1 41(5 41(5 NUM ajst-16341 176 2 ) ) PUNCT ajst-16341 176 3 , , PUNCT ajst-16341 176 4 6350 6350 NUM ajst-16341 176 5 - - SYM ajst-16341 176 6 6357(2015 6357(2015 NUM ajst-16341 176 7 ) ) PUNCT ajst-16341 176 8 . . PUNCT ajst-16341 177 1 [ [ X ajst-16341 177 2 20 20 NUM ajst-16341 177 3 ] ] X ajst-16341 177 4 y. y. PROPN ajst-16341 177 5 feng feng PROPN ajst-16341 177 6 , , PUNCT ajst-16341 177 7 b. b. PROPN ajst-16341 177 8 yu yu PROPN ajst-16341 177 9 , , PUNCT ajst-16341 177 10 m. m. NOUN ajst-16341 177 11 zou zou PROPN ajst-16341 177 12 , , PUNCT ajst-16341 177 13 and and CCONJ ajst-16341 177 14 d. d. PROPN ajst-16341 177 15 m. m. PROPN ajst-16341 177 16 zhang zhang PROPN ajst-16341 177 17 , , PUNCT ajst-16341 177 18 β€œ " PUNCT ajst-16341 177 19 a a DET ajst-16341 177 20 generalized generalized ADJ ajst-16341 177 21 model model NOUN ajst-16341 177 22 for for ADP ajst-16341 177 23 the the DET ajst-16341 177 24 effective effective ADJ ajst-16341 177 25 thermal thermal ADJ ajst-16341 177 26 conductivity conductivity NOUN ajst-16341 177 27 of of ADP ajst-16341 177 28 porous porous ADJ ajst-16341 177 29 media medium NOUN ajst-16341 177 30 based base VERB ajst-16341 177 31 on on ADP ajst-16341 177 32 self self NOUN ajst-16341 177 33 - - PUNCT ajst-16341 177 34 similarity similarity NOUN ajst-16341 177 35 , , PUNCT ajst-16341 177 36 ” " PUNCT ajst-16341 177 37 j. j. PROPN ajst-16341 177 38 phys phys PROPN ajst-16341 177 39 . . PUNCT ajst-16341 178 1 d d X ajst-16341 178 2 : : PUNCT ajst-16341 178 3 appl appl ADJ ajst-16341 178 4 . . PUNCT ajst-16341 179 1 phys phy NOUN ajst-16341 179 2 . . PUNCT ajst-16341 180 1 37(21 37(21 NUM ajst-16341 180 2 ) ) PUNCT ajst-16341 180 3 , , PUNCT ajst-16341 180 4 30303040 30303040 NUM ajst-16341 180 5 ( ( PUNCT ajst-16341 180 6 2004 2004 NUM ajst-16341 180 7 ) ) PUNCT ajst-16341 180 8 . . PUNCT ajst-16341 181 1 [ [ X ajst-16341 181 2 21 21 NUM ajst-16341 181 3 ] ] X ajst-16341 181 4 y. y. PROPN ajst-16341 181 5 ma ma PROPN ajst-16341 181 6 , , PUNCT ajst-16341 181 7 b. b. PROPN ajst-16341 181 8 yu yu PROPN ajst-16341 181 9 , , PUNCT ajst-16341 181 10 d. d. PROPN ajst-16341 181 11 zhang zhang PROPN ajst-16341 181 12 , , PUNCT ajst-16341 181 13 and and CCONJ ajst-16341 181 14 m. m. PROPN ajst-16341 181 15 zou zou PROPN ajst-16341 181 16 , , PUNCT ajst-16341 181 17 β€œ " PUNCT ajst-16341 181 18 a a DET ajst-16341 181 19 self self NOUN ajst-16341 181 20 - - PUNCT ajst-16341 181 21 similarity similarity NOUN ajst-16341 181 22 model model NOUN ajst-16341 181 23 for for ADP ajst-16341 181 24 effective effective ADJ ajst-16341 181 25 thermal thermal ADJ ajst-16341 181 26 conductivity conductivity NOUN ajst-16341 181 27 of of ADP ajst-16341 181 28 porous porous ADJ ajst-16341 181 29 media medium NOUN ajst-16341 181 30 , , PUNCT ajst-16341 181 31 ” " PUNCT ajst-16341 181 32 j. j. PROPN ajst-16341 181 33 phys phys PROPN ajst-16341 181 34 . . PUNCT ajst-16341 182 1 d d X ajst-16341 182 2 : : PUNCT ajst-16341 182 3 appl appl NOUN ajst-16341 182 4 . . PUNCT ajst-16341 183 1 phys phy NOUN ajst-16341 183 2 . . PUNCT ajst-16341 184 1 36(17 36(17 NUM ajst-16341 184 2 ) ) PUNCT ajst-16341 184 3 , , PUNCT ajst-16341 184 4 2157(2003 2157(2003 NUM ajst-16341 184 5 ) ) PUNCT ajst-16341 184 6 . . PUNCT ajst-16341 185 1 [ [ X ajst-16341 185 2 22 22 NUM ajst-16341 185 3 ] ] PUNCT ajst-16341 185 4 m. m. PROPN ajst-16341 185 5 l. l. PROPN ajst-16341 185 6 qu qu PROPN ajst-16341 185 7 , , PUNCT ajst-16341 185 8 s. s. PROPN ajst-16341 185 9 q. q. PROPN ajst-16341 185 10 tian tian PROPN ajst-16341 185 11 , , PUNCT ajst-16341 185 12 l. l. PROPN ajst-16341 185 13 w. w. PROPN ajst-16341 185 14 fan fan PROPN ajst-16341 185 15 , , PUNCT ajst-16341 185 16 z. z. PROPN ajst-16341 185 17 t. t. PROPN ajst-16341 185 18 yu yu PROPN ajst-16341 185 19 , , PUNCT ajst-16341 185 20 and and CCONJ ajst-16341 185 21 j. j. PROPN ajst-16341 185 22 ge ge PROPN ajst-16341 185 23 , , PUNCT ajst-16341 185 24 β€œ " PUNCT ajst-16341 185 25 an an DET ajst-16341 185 26 experimental experimental ADJ ajst-16341 185 27 investigation investigation NOUN ajst-16341 185 28 and and CCONJ ajst-16341 185 29 fractal fractal ADJ ajst-16341 185 30 modeling modeling NOUN ajst-16341 185 31 on on ADP ajst-16341 185 32 the the DET ajst-16341 185 33 effective effective ADJ ajst-16341 185 34 thermal thermal ADJ ajst-16341 185 35 conductivity conductivity NOUN ajst-16341 185 36 of of ADP ajst-16341 185 37 novel novel NOUN ajst-16341 185 38 autoclaved autoclave VERB ajst-16341 185 39 aerated aerate VERB ajst-16341 185 40 concrete concrete NOUN ajst-16341 185 41 ( ( PUNCT ajst-16341 185 42 aac)-based aac)-base VERB ajst-16341 185 43 composites composite NOUN ajst-16341 185 44 with with ADP ajst-16341 185 45 silica silica NOUN ajst-16341 185 46 aerogels aerogel NOUN ajst-16341 185 47 ( ( PUNCT ajst-16341 185 48 sa sa NOUN ajst-16341 185 49 ) ) PUNCT ajst-16341 185 50 , , PUNCT ajst-16341 185 51 ” " PUNCT ajst-16341 185 52 appl appl NOUN ajst-16341 185 53 . . PROPN ajst-16341 185 54 therm therm PROPN ajst-16341 185 55 . . PUNCT ajst-16341 186 1 eng eng PROPN ajst-16341 186 2 . . PROPN ajst-16341 186 3 179 179 NUM ajst-16341 186 4 , , PUNCT ajst-16341 186 5 115770(2020 115770(2020 NUM ajst-16341 186 6 ) ) PUNCT ajst-16341 186 7 . . PUNCT ajst-16341 187 1 [ [ X ajst-16341 187 2 23 23 NUM ajst-16341 187 3 ] ] PUNCT ajst-16341 187 4 z. z. PROPN ajst-16341 187 5 y. y. PROPN ajst-16341 187 6 li li PROPN ajst-16341 187 7 , , PUNCT ajst-16341 187 8 h. h. PROPN ajst-16341 187 9 liu liu PROPN ajst-16341 187 10 , , PUNCT ajst-16341 187 11 x. x. PROPN ajst-16341 187 12 p. p. PROPN ajst-16341 187 13 zhao zhao PROPN ajst-16341 187 14 , , PUNCT ajst-16341 187 15 and and CCONJ ajst-16341 187 16 w. w. PROPN ajst-16341 187 17 q. q. PROPN ajst-16341 187 18 tao tao PROPN ajst-16341 187 19 , , PUNCT ajst-16341 187 20 β€œ " PUNCT ajst-16341 187 21 a a DET ajst-16341 187 22 multi multi ADJ ajst-16341 187 23 - - ADJ ajst-16341 187 24 level level ADJ ajst-16341 187 25 fractal fractal ADJ ajst-16341 187 26 model model NOUN ajst-16341 187 27 for for ADP ajst-16341 187 28 the the DET ajst-16341 187 29 effective effective ADJ ajst-16341 187 30 thermal thermal ADJ ajst-16341 187 31 conductivity conductivity NOUN ajst-16341 187 32 of of ADP ajst-16341 187 33 silica silica NOUN ajst-16341 187 34 aerogel aerogel NOUN ajst-16341 187 35 , , PUNCT ajst-16341 187 36 ” " PUNCT ajst-16341 187 37 j. j. PROPN ajst-16341 187 38 non non PROPN ajst-16341 187 39 - - PROPN ajst-16341 187 40 cryst cryst NOUN ajst-16341 187 41 . . PUNCT ajst-16341 188 1 solids solid NOUN ajst-16341 188 2 . . PUNCT ajst-16341 189 1 430 430 NUM ajst-16341 189 2 , , PUNCT ajst-16341 189 3 43 43 NUM ajst-16341 189 4 - - SYM ajst-16341 189 5 51 51 NUM ajst-16341 189 6 ( ( PUNCT ajst-16341 189 7 2015 2015 NUM ajst-16341 189 8 ) ) PUNCT ajst-16341 189 9 . . PUNCT ajst-16341 190 1 [ [ X ajst-16341 190 2 24 24 NUM ajst-16341 190 3 ] ] PUNCT ajst-16341 190 4 x. x. NOUN ajst-16341 190 5 chen chen PROPN ajst-16341 190 6 , , PUNCT ajst-16341 190 7 y. y. PROPN ajst-16341 190 8 h. h. PROPN ajst-16341 190 9 hu hu PROPN ajst-16341 190 10 , , PUNCT ajst-16341 190 11 x. x. PROPN ajst-16341 190 12 p. p. PROPN ajst-16341 190 13 zhuang zhuang PROPN ajst-16341 190 14 , , PUNCT ajst-16341 190 15 and and CCONJ ajst-16341 190 16 x. x. PROPN ajst-16341 190 17 y. y. PROPN ajst-16341 190 18 wang wang PROPN ajst-16341 190 19 , , PUNCT ajst-16341 190 20 β€œ " PUNCT ajst-16341 190 21 study study VERB ajst-16341 190 22 on on ADP ajst-16341 190 23 pore pore ADJ ajst-16341 190 24 size size NOUN ajst-16341 190 25 distribution distribution NOUN ajst-16341 190 26 and and CCONJ ajst-16341 190 27 thermal thermal ADJ ajst-16341 190 28 conductivity conductivity NOUN ajst-16341 190 29 of of ADP ajst-16341 190 30 aramid aramid NOUN ajst-16341 190 31 nanofiber nanofiber NOUN ajst-16341 190 32 aerogels aerogel NOUN ajst-16341 190 33 based base VERB ajst-16341 190 34 on on ADP ajst-16341 190 35 fractal fractal ADJ ajst-16341 190 36 theory theory NOUN ajst-16341 190 37 , , PUNCT ajst-16341 190 38 ” " PUNCT ajst-16341 190 39 j. j. PROPN ajst-16341 190 40 appl appl PROPN ajst-16341 190 41 . . PUNCT ajst-16341 190 42 phys phy NOUN ajst-16341 190 43 . . PUNCT ajst-16341 191 1 130(22 130(22 NUM ajst-16341 191 2 ) ) PUNCT ajst-16341 191 3 , , PUNCT ajst-16341 191 4 225104(2021 225104(2021 NUM ajst-16341 191 5 ) ) PUNCT ajst-16341 191 6 . . PUNCT ajst-16341 192 1 [ [ X ajst-16341 192 2 25 25 NUM ajst-16341 192 3 ] ] X ajst-16341 192 4 g. g. PROPN ajst-16341 192 5 pia pia PROPN ajst-16341 192 6 , , PUNCT ajst-16341 192 7 and and CCONJ ajst-16341 192 8 u. u. PROPN ajst-16341 192 9 sanna sanna PROPN ajst-16341 192 10 , , PUNCT ajst-16341 192 11 β€œ " PUNCT ajst-16341 192 12 intermingled intermingle VERB ajst-16341 192 13 fractal fractal ADJ ajst-16341 192 14 units unit NOUN ajst-16341 192 15 model model NOUN ajst-16341 192 16 and and CCONJ ajst-16341 192 17 electrical electrical ADJ ajst-16341 192 18 equivalence equivalence NOUN ajst-16341 192 19 fractal fractal ADJ ajst-16341 192 20 approach approach NOUN ajst-16341 192 21 for for ADP ajst-16341 192 22 prediction prediction NOUN ajst-16341 192 23 of of ADP ajst-16341 192 24 thermal thermal ADJ ajst-16341 192 25 conductivity conductivity NOUN ajst-16341 192 26 of of ADP ajst-16341 192 27 porous porous ADJ ajst-16341 192 28 materials material NOUN ajst-16341 192 29 , , PUNCT ajst-16341 192 30 ” " PUNCT ajst-16341 192 31 appl appl NOUN ajst-16341 192 32 . . PUNCT ajst-16341 193 1 therm therm PROPN ajst-16341 193 2 . . PUNCT ajst-16341 194 1 eng eng PROPN ajst-16341 194 2 . . PROPN ajst-16341 194 3 61(2 61(2 PROPN ajst-16341 194 4 ) ) PUNCT ajst-16341 194 5 , , PUNCT ajst-16341 194 6 186 186 NUM ajst-16341 194 7 - - SYM ajst-16341 194 8 192(2013 192(2013 NUM ajst-16341 194 9 ) ) PUNCT ajst-16341 194 10 . . PUNCT ajst-16341 195 1 [ [ X ajst-16341 195 2 26 26 NUM ajst-16341 195 3 ] ] X ajst-16341 195 4 b. b. PROPN ajst-16341 195 5 xie xie PROPN ajst-16341 195 6 , , PUNCT ajst-16341 195 7 y. y. PROPN ajst-16341 195 8 h. h. PROPN ajst-16341 195 9 hu hu PROPN ajst-16341 195 10 , , PUNCT ajst-16341 195 11 l.t l.t PROPN ajst-16341 195 12 . . PROPN ajst-16341 195 13 liu liu PROPN ajst-16341 195 14 , , PUNCT ajst-16341 195 15 x. x. PROPN ajst-16341 195 16 k. k. PROPN ajst-16341 195 17 zhang zhang PROPN ajst-16341 195 18 , , PUNCT ajst-16341 195 19 l. l. PROPN ajst-16341 195 20 k. k. PROPN ajst-16341 195 21 zhang zhang PROPN ajst-16341 195 22 , , PUNCT ajst-16341 195 23 x. x. PROPN ajst-16341 195 24 chen chen PROPN ajst-16341 195 25 , , PUNCT ajst-16341 195 26 x. x. PROPN ajst-16341 196 1 p. p. PROPN ajst-16341 196 2 zhuang zhuang PROPN ajst-16341 196 3 , , PUNCT ajst-16341 196 4 and and CCONJ ajst-16341 196 5 x.y x.y PROPN ajst-16341 196 6 . . PROPN ajst-16341 196 7 wang wang PROPN ajst-16341 196 8 . . PUNCT ajst-16341 197 1 β€œ " PUNCT ajst-16341 197 2 thermal thermal ADJ ajst-16341 197 3 conduction conduction NOUN ajst-16341 197 4 model model NOUN ajst-16341 197 5 of of ADP ajst-16341 197 6 asymmetric asymmetric ADJ ajst-16341 197 7 structural structural ADJ ajst-16341 197 8 aramid aramid NOUN ajst-16341 197 9 nanofiber nanofiber NOUN ajst-16341 197 10 aerogel aerogel NOUN ajst-16341 197 11 membranes membrane NOUN ajst-16341 197 12 based base VERB ajst-16341 197 13 on on ADP ajst-16341 197 14 fractal fractal ADJ ajst-16341 197 15 theory theory NOUN ajst-16341 197 16 , , PUNCT ajst-16341 197 17 ” " PUNCT ajst-16341 197 18 int int NOUN ajst-16341 197 19 . . PUNCT ajst-16341 198 1 j. j. PROPN ajst-16341 198 2 heat heat PROPN ajst-16341 198 3 mass mass PROPN ajst-16341 198 4 transf transf NOUN ajst-16341 198 5 . . PUNCT ajst-16341 199 1 208 208 NUM ajst-16341 199 2 , , PUNCT ajst-16341 199 3 124086(2023 124086(2023 NUM ajst-16341 199 4 ) ) PUNCT ajst-16341 199 5 . . PUNCT ajst-16341 200 1 [ [ X ajst-16341 200 2 27 27 NUM ajst-16341 200 3 ] ] PUNCT ajst-16341 200 4 z. z. PROPN ajst-16341 200 5 g. g. PROPN ajst-16341 200 6 wang wang PROPN ajst-16341 200 7 , , PUNCT ajst-16341 200 8 z. z. PROPN ajst-16341 200 9 q. q. PROPN ajst-16341 200 10 zhao zhao PROPN ajst-16341 200 11 , , PUNCT ajst-16341 200 12 g. g. PROPN ajst-16341 200 13 zheng zheng PROPN ajst-16341 200 14 , , PUNCT ajst-16341 200 15 g. g. PROPN ajst-16341 200 16 c. c. PROPN ajst-16341 200 17 yan yan PROPN ajst-16341 200 18 , , PUNCT ajst-16341 200 19 y. y. PROPN ajst-16341 200 20 p. p. PROPN ajst-16341 200 21 zhu zhu PROPN ajst-16341 200 22 , , PUNCT ajst-16341 200 23 w. w. PROPN ajst-16341 200 24 z. z. PROPN ajst-16341 200 25 yang yang PROPN ajst-16341 200 26 , , PUNCT ajst-16341 200 27 y. y. PROPN ajst-16341 200 28 c. c. PROPN ajst-16341 200 29 song song PROPN ajst-16341 200 30 , , PUNCT ajst-16341 200 31 β€œ " PUNCT ajst-16341 200 32 a a DET ajst-16341 200 33 " " PUNCT ajst-16341 200 34 three three NUM ajst-16341 200 35 box box NOUN ajst-16341 200 36 " " PUNCT ajst-16341 200 37 analysis analysis NOUN ajst-16341 200 38 model model NOUN ajst-16341 200 39 for for ADP ajst-16341 200 40 heat heat NOUN ajst-16341 200 41 transfer transfer NOUN ajst-16341 200 42 of of ADP ajst-16341 200 43 thermal thermal ADJ ajst-16341 200 44 insulation insulation NOUN ajst-16341 200 45 porous porous ADJ ajst-16341 200 46 materials material NOUN ajst-16341 200 47 based base VERB ajst-16341 200 48 on on ADP ajst-16341 200 49 rev”,42(08 rev”,42(08 NOUN ajst-16341 200 50 ) ) PUNCT ajst-16341 200 51 , , PUNCT ajst-16341 200 52 j. j. PROPN ajst-16341 200 53 eng eng PROPN ajst-16341 200 54 . . PUNCT ajst-16341 201 1 thermophys thermophy NOUN ajst-16341 201 2 . . PUNCT ajst-16341 202 1 1950 1950 NUM ajst-16341 202 2 - - SYM ajst-16341 202 3 1957(2021 1957(2021 NUM ajst-16341 202 4 ) ) PUNCT ajst-16341 202 5 . . PUNCT ajst-16341 203 1 [ [ X ajst-16341 203 2 28 28 NUM ajst-16341 203 3 ] ] X ajst-16341 203 4 s. s. PROPN ajst-16341 203 5 k. k. PROPN ajst-16341 203 6 padmanabhan padmanabhan PROPN ajst-16341 203 7 , , PUNCT ajst-16341 203 8 c. c. PROPN ajst-16341 203 9 protopapa protopapa PROPN ajst-16341 203 10 , , PUNCT ajst-16341 203 11 and and CCONJ ajst-16341 203 12 a. a. PROPN ajst-16341 203 13 licciulli licciulli PROPN ajst-16341 203 14 , , PUNCT ajst-16341 203 15 β€œ " PUNCT ajst-16341 203 16 stiff stiff ADJ ajst-16341 203 17 and and CCONJ ajst-16341 203 18 tough tough ADJ ajst-16341 203 19 hydrophobic hydrophobic NOUN ajst-16341 203 20 cellulose cellulose NOUN ajst-16341 203 21 - - PUNCT ajst-16341 203 22 silica silica NOUN ajst-16341 203 23 aerogels aerogel NOUN ajst-16341 203 24 from from ADP ajst-16341 203 25 bacterial bacterial ADJ ajst-16341 203 26 cellulose cellulose NOUN ajst-16341 203 27 and and CCONJ ajst-16341 203 28 fumed fume VERB ajst-16341 203 29 silica silica NOUN ajst-16341 203 30 , , PUNCT ajst-16341 203 31 ” " PUNCT ajst-16341 203 32 process process NOUN ajst-16341 203 33 biochem biochem NOUN ajst-16341 203 34 . . PUNCT ajst-16341 204 1 103 103 NUM ajst-16341 204 2 , , PUNCT ajst-16341 204 3 3138(2021 3138(2021 NUM ajst-16341 204 4 ) ) PUNCT ajst-16341 204 5 . . PUNCT ajst-16341 205 1 [ [ X ajst-16341 205 2 29 29 NUM ajst-16341 205 3 ] ] PUNCT ajst-16341 205 4 s. s. PROPN ajst-16341 205 5 m. m. PROPN ajst-16341 205 6 yang yang PROPN ajst-16341 205 7 , , PUNCT ajst-16341 205 8 x. x. PROPN ajst-16341 205 9 r. r. PROPN ajst-16341 205 10 luo luo PROPN ajst-16341 205 11 , , PUNCT ajst-16341 205 12 y. y. PROPN ajst-16341 205 13 y. y. PROPN ajst-16341 205 14 an an PROPN ajst-16341 205 15 , , PUNCT ajst-16341 205 16 l. l. PROPN ajst-16341 205 17 x. x. PROPN ajst-16341 205 18 tu tu PROPN ajst-16341 205 19 , , PUNCT ajst-16341 205 20 h. h. PROPN ajst-16341 205 21 shen shen PROPN ajst-16341 205 22 , , PUNCT ajst-16341 205 23 β€œ " PUNCT ajst-16341 205 24 thermal thermal ADJ ajst-16341 205 25 insulation insulation NOUN ajst-16341 205 26 properties property NOUN ajst-16341 205 27 of of ADP ajst-16341 205 28 microfibrillated microfibrillated ADJ ajst-16341 205 29 cellulose cellulose NOUN ajst-16341 205 30 aerogel aerogel NOUN ajst-16341 205 31 ( ( PUNCT ajst-16341 205 32 in in ADP ajst-16341 205 33 chinese chinese PROPN ajst-16341 205 34 ) ) PUNCT ajst-16341 205 35 , , PUNCT ajst-16341 205 36 ” " PUNCT ajst-16341 205 37 j. j. PROPN ajst-16341 205 38 donghua donghua PROPN ajst-16341 205 39 univ univ PROPN ajst-16341 205 40 ( ( PUNCT ajst-16341 205 41 eng eng PROPN ajst-16341 205 42 . . PUNCT ajst-16341 206 1 ed ed NOUN ajst-16341 206 2 . . PUNCT ajst-16341 206 3 ) ) PUNCT ajst-16341 206 4 . . PUNCT ajst-16341 207 1 38(02 38(02 NUM ajst-16341 207 2 ) ) PUNCT ajst-16341 207 3 , , PUNCT ajst-16341 207 4 106 106 NUM ajst-16341 207 5 - - PUNCT ajst-16341 207 6 113(2021 113(2021 NUM ajst-16341 207 7 ) ) PUNCT ajst-16341 207 8 . . PUNCT ajst-16341 208 1 [ [ X ajst-16341 208 2 30 30 NUM ajst-16341 208 3 ] ] X ajst-16341 208 4 y. y. PROPN ajst-16341 208 5 pan pan PROPN ajst-16341 208 6 , , PUNCT ajst-16341 208 7 j. j. PROPN ajst-16341 208 8 zheng zheng PROPN ajst-16341 208 9 , , PUNCT ajst-16341 208 10 y. y. PROPN ajst-16341 208 11 y. y. PROPN ajst-16341 208 12 xu xu PROPN ajst-16341 208 13 , , PUNCT ajst-16341 208 14 x. x. PROPN ajst-16341 208 15 g. g. PROPN ajst-16341 208 16 chen chen PROPN ajst-16341 208 17 , , PUNCT ajst-16341 208 18 m. m. PROPN ajst-16341 208 19 m. m. PROPN ajst-16341 208 20 yan yan PROPN ajst-16341 208 21 , , PUNCT ajst-16341 208 22 j. j. PROPN ajst-16341 208 23 l. l. PROPN ajst-16341 208 24 li li PROPN ajst-16341 208 25 , , PUNCT ajst-16341 208 26 x. x. PROPN ajst-16341 208 27 zhao zhao PROPN ajst-16341 208 28 , , PUNCT ajst-16341 208 29 y. y. PROPN ajst-16341 208 30 l. l. PROPN ajst-16341 208 31 feng feng PROPN ajst-16341 208 32 , , PUNCT ajst-16341 208 33 y. y. PROPN ajst-16341 208 34 h. h. PROPN ajst-16341 208 35 ma ma PROPN ajst-16341 208 36 , , PUNCT ajst-16341 208 37 m. m. NOUN ajst-16341 208 38 y. y. PROPN ajst-16341 208 39 ding ding PROPN ajst-16341 208 40 , , PUNCT ajst-16341 208 41 r. r. PROPN ajst-16341 208 42 w. w. PROPN ajst-16341 208 43 wang wang PROPN ajst-16341 208 44 , , PUNCT ajst-16341 208 45 and and CCONJ ajst-16341 208 46 j. j. PROPN ajst-16341 208 47 x. x. PROPN ajst-16341 208 48 he he PRON ajst-16341 208 49 , , PUNCT ajst-16341 208 50 β€œ " PUNCT ajst-16341 208 51 ultralight ultralight ADJ ajst-16341 208 52 , , PUNCT ajst-16341 208 53 highly highly ADV ajst-16341 208 54 flexible flexible ADJ ajst-16341 208 55 in in ADP ajst-16341 208 56 situ situ NOUN ajst-16341 208 57 thermally thermally ADV ajst-16341 208 58 crosslinked crosslinke VERB ajst-16341 208 59 polyimide polyimide ADJ ajst-16341 208 60 aerogels aerogel NOUN ajst-16341 208 61 with with ADP ajst-16341 208 62 superior superior ADJ ajst-16341 208 63 mechanical mechanical ADJ ajst-16341 208 64 and and CCONJ ajst-16341 208 65 thermal thermal ADJ ajst-16341 208 66 protection protection NOUN ajst-16341 208 67 properties property NOUN ajst-16341 208 68 via via ADP ajst-16341 208 69 nanofiber nanofiber PROPN ajst-16341 208 70 reinforcement reinforcement NOUN ajst-16341 208 71 , , PUNCT ajst-16341 208 72 ” " PUNCT ajst-16341 208 73 j. j. PROPN ajst-16341 208 74 colloid colloid PROPN ajst-16341 208 75 interface interface PROPN ajst-16341 208 76 sci sci PROPN ajst-16341 208 77 . . PROPN ajst-16341 208 78 628 628 NUM ajst-16341 208 79 , , PUNCT ajst-16341 208 80 829 829 NUM ajst-16341 208 81 - - PUNCT ajst-16341 208 82 839(2022 839(2022 NUM ajst-16341 208 83 ) ) PUNCT ajst-16341 208 84 . . PUNCT ajst-16341 209 1 [ [ X ajst-16341 209 2 31 31 NUM ajst-16341 209 3 ] ] PUNCT ajst-16341 209 4 w. w. PROPN ajst-16341 209 5 dang dang PROPN ajst-16341 209 6 , , PUNCT ajst-16341 209 7 l. l. PROPN ajst-16341 209 8 zhao zhao PROPN ajst-16341 209 9 , , PUNCT ajst-16341 209 10 f.p f.p PROPN ajst-16341 209 11 . . PROPN ajst-16341 209 12 li li PROPN ajst-16341 209 13 , , PUNCT ajst-16341 209 14 c. c. PROPN ajst-16341 209 15 x. x. PROPN ajst-16341 209 16 li li PROPN ajst-16341 209 17 , , PUNCT ajst-16341 209 18 z. z. PROPN ajst-16341 209 19 l. l. PROPN ajst-16341 209 20 xu xu PROPN ajst-16341 209 21 , , PUNCT ajst-16341 209 22 x. x. PROPN ajst-16341 209 23 y. y. PROPN ajst-16341 209 24 zhang zhang PROPN ajst-16341 209 25 , , PUNCT ajst-16341 209 26 k. k. PROPN ajst-16341 209 27 zhao zhao PROPN ajst-16341 209 28 , , PUNCT ajst-16341 209 29 y. y. PROPN ajst-16341 209 30 f. f. PROPN ajst-16341 209 31 tang tang PROPN ajst-16341 209 32 , , PUNCT ajst-16341 209 33 β€œ " PUNCT ajst-16341 209 34 sic sic ADJ ajst-16341 209 35 junction junction NOUN ajst-16341 209 36 enhanced enhance VERB ajst-16341 209 37 carbon carbon NOUN ajst-16341 209 38 nanofiber nanofiber NOUN ajst-16341 209 39 aerogels aerogel VERB ajst-16341 209 40 with with ADP ajst-16341 209 41 extremely extremely ADV ajst-16341 209 42 high high ADJ ajst-16341 209 43 specific specific ADJ ajst-16341 209 44 strength strength NOUN ajst-16341 209 45 and and CCONJ ajst-16341 209 46 ultra ultra ADJ ajst-16341 209 47 - - ADJ ajst-16341 209 48 low low ADJ ajst-16341 209 49 thermal thermal ADJ ajst-16341 209 50 conductivity conductivity NOUN ajst-16341 209 51 , , PUNCT ajst-16341 209 52 ” " PUNCT ajst-16341 209 53 j. j. PROPN ajst-16341 209 54 eur eur PROPN ajst-16341 209 55 . . PROPN ajst-16341 209 56 ceram ceram PROPN ajst-16341 209 57 . . PUNCT ajst-16341 210 1 soc soc PROPN ajst-16341 210 2 . . PUNCT ajst-16341 211 1 43(8 43(8 NOUN ajst-16341 211 2 ) ) PUNCT ajst-16341 211 3 , , PUNCT ajst-16341 211 4 38363843(2023 38363843(2023 NUM ajst-16341 211 5 ) ) PUNCT ajst-16341 211 6 . . PUNCT ajst-16341 212 1 [ [ X ajst-16341 212 2 32 32 NUM ajst-16341 212 3 ] ] PUNCT ajst-16341 212 4 t. t. PROPN ajst-16341 212 5 wang wang PROPN ajst-16341 212 6 , , PUNCT ajst-16341 212 7 m. m. PROPN ajst-16341 212 8 j. j. PROPN ajst-16341 212 9 wang wang PROPN ajst-16341 212 10 , , PUNCT ajst-16341 212 11 l. l. PROPN ajst-16341 212 12 fu fu PROPN ajst-16341 212 13 , , PUNCT ajst-16341 212 14 z. z. PROPN ajst-16341 212 15 h. h. PROPN ajst-16341 212 16 duan duan PROPN ajst-16341 212 17 , , PUNCT ajst-16341 212 18 y. y. PROPN ajst-16341 212 19 p. p. PROPN ajst-16341 212 20 chen chen PROPN ajst-16341 212 21 , , PUNCT ajst-16341 212 22 x. x. PROPN ajst-16341 212 23 hou hou PROPN ajst-16341 212 24 , , PUNCT ajst-16341 212 25 y. y. PROPN ajst-16341 212 26 m. m. PROPN ajst-16341 212 27 wu wu PROPN ajst-16341 212 28 , , PUNCT ajst-16341 212 29 s. s. PROPN ajst-16341 212 30 y. y. PROPN ajst-16341 212 31 li li PROPN ajst-16341 212 32 , , PUNCT ajst-16341 212 33 l. l. PROPN ajst-16341 212 34 c. c. PROPN ajst-16341 212 35 guo guo PROPN ajst-16341 212 36 li li PROPN ajst-16341 212 37 , , PUNCT ajst-16341 212 38 r. r. PROPN ajst-16341 212 39 y. y. PROPN ajst-16341 212 40 kang kang PROPN ajst-16341 212 41 , , PUNCT ajst-16341 212 42 n. n. PROPN ajst-16341 212 43 jiang jiang PROPN ajst-16341 212 44 , , PUNCT ajst-16341 212 45 and and CCONJ ajst-16341 212 46 j. j. PROPN ajst-16341 212 47 h. h. PROPN ajst-16341 212 48 yu yu PROPN ajst-16341 212 49 , , PUNCT ajst-16341 212 50 β€œ " PUNCT ajst-16341 212 51 enhanced enhanced ADJ ajst-16341 212 52 thermal thermal ADJ ajst-16341 212 53 conductivity conductivity NOUN ajst-16341 212 54 of of ADP ajst-16341 212 55 polyimide polyimide ADJ ajst-16341 212 56 composites composite NOUN ajst-16341 212 57 with with ADP ajst-16341 212 58 boron boron NOUN ajst-16341 212 59 nitride nitride NOUN ajst-16341 212 60 nanosheets nanosheet NOUN ajst-16341 212 61 , , PUNCT ajst-16341 212 62 ” " PUNCT ajst-16341 212 63 sci sci PROPN ajst-16341 212 64 . . PROPN ajst-16341 212 65 rep rep PROPN ajst-16341 212 66 . . PROPN ajst-16341 212 67 8(1 8(1 NOUN ajst-16341 212 68 ) ) PUNCT ajst-16341 212 69 , , PUNCT ajst-16341 212 70 1577(2018 1577(2018 NUM ajst-16341 212 71 ) ) PUNCT ajst-16341 212 72 . . PUNCT ajst-16341 213 1 [ [ X ajst-16341 213 2 33 33 NUM ajst-16341 213 3 ] ] PUNCT ajst-16341 213 4 x. x. PROPN ajst-16341 213 5 w. w. PROPN ajst-16341 213 6 xie xie PROPN ajst-16341 213 7 , , PUNCT ajst-16341 213 8 m. m. PROPN ajst-16341 213 9 l. l. PROPN ajst-16341 213 10 guo guo PROPN ajst-16341 213 11 , , PUNCT ajst-16341 213 12 β€œ " PUNCT ajst-16341 213 13 introduction introduction NOUN ajst-16341 213 14 to to ADP ajst-16341 213 15 materials material NOUN ajst-16341 213 16 science science NOUN ajst-16341 213 17 and and CCONJ ajst-16341 213 18 engineering engineering NOUN ajst-16341 213 19 , , PUNCT ajst-16341 213 20 ” " PUNCT ajst-16341 213 21 beijing beijing PROPN ajst-16341 213 22 : : PUNCT ajst-16341 213 23 beihang beihang PROPN ajst-16341 213 24 university university PROPN ajst-16341 213 25 press press NOUN ajst-16341 213 26 . . PUNCT ajst-16341 214 1 ( ( PUNCT ajst-16341 214 2 1991 1991 NUM ajst-16341 214 3 ) ) PUNCT ajst-16341 214 4 . . PUNCT ajst-16341 215 1 [ [ X ajst-16341 215 2 34 34 NUM ajst-16341 215 3 ] ] PUNCT ajst-16341 215 4 z. z. PROPN ajst-16341 215 5 li li PROPN ajst-16341 215 6 , , PUNCT ajst-16341 215 7 p. p. PROPN ajst-16341 215 8 xiao xiao PROPN ajst-16341 215 9 , , PUNCT ajst-16341 215 10 x. x. PROPN ajst-16341 215 11 xiong xiong PROPN ajst-16341 215 12 , , PUNCT ajst-16341 215 13 b. b. PROPN ajst-16341 215 14 y. y. PROPN ajst-16341 215 15 huang huang PROPN ajst-16341 215 16 , , PUNCT ajst-16341 215 17 β€œ " PUNCT ajst-16341 215 18 thermal thermal ADJ ajst-16341 215 19 conductivity conductivity NOUN ajst-16341 215 20 of of ADP ajst-16341 215 21 c c NOUN ajst-16341 215 22 / / SYM ajst-16341 215 23 c c NOUN ajst-16341 215 24 - - PUNCT ajst-16341 215 25 sic sic ADJ ajst-16341 215 26 composites composite NOUN ajst-16341 215 27 and and CCONJ ajst-16341 215 28 its its PRON ajst-16341 215 29 influence influence NOUN ajst-16341 215 30 factors factor NOUN ajst-16341 215 31 ( ( PUNCT ajst-16341 215 32 in in ADP ajst-16341 215 33 chinese chinese ADJ ajst-16341 215 34 ) ) PUNCT ajst-16341 215 35 ” " PUNCT ajst-16341 215 36 , , PUNCT ajst-16341 215 37 j. j. PROPN ajst-16341 215 38 cent cent PROPN ajst-16341 215 39 . . PUNCT ajst-16341 216 1 south south ADJ ajst-16341 216 2 univ(science univ(science NOUN ajst-16341 216 3 and and CCONJ ajst-16341 216 4 technology technology NOUN ajst-16341 216 5 ) ) PUNCT ajst-16341 216 6 . . PUNCT ajst-16341 217 1 44(1 44(1 PROPN ajst-16341 217 2 ) ) PUNCT ajst-16341 217 3 , , PUNCT ajst-16341 217 4 4045(2013 4045(2013 NUM ajst-16341 217 5 ) ) PUNCT ajst-16341 217 6 . . PUNCT