id sid tid token lemma pos cord-338895-c2wzjbgb 1 1 key key NNP cord-338895-c2wzjbgb 1 2 : : : cord-338895-c2wzjbgb 1 3 cord-338895-c2wzjbgb cord-338895-c2wzjbgb NN cord-338895-c2wzjbgb 1 4 authors author NNS cord-338895-c2wzjbgb 1 5 : : : cord-338895-c2wzjbgb 1 6 Machado Machado NNP cord-338895-c2wzjbgb 1 7 , , , cord-338895-c2wzjbgb 1 8 J. J. NNP cord-338895-c2wzjbgb 1 9 A. A. NNP cord-338895-c2wzjbgb 1 10 Tenreiro Tenreiro NNP cord-338895-c2wzjbgb 1 11 ; ; : cord-338895-c2wzjbgb 1 12 Lopes Lopes NNP cord-338895-c2wzjbgb 1 13 , , , cord-338895-c2wzjbgb 1 14 António António NNP cord-338895-c2wzjbgb 1 15 M. M. NNP cord-338895-c2wzjbgb 2 1 title title NN cord-338895-c2wzjbgb 2 2 : : : cord-338895-c2wzjbgb 3 1 Rare rare JJ cord-338895-c2wzjbgb 3 2 and and CC cord-338895-c2wzjbgb 3 3 extreme extreme JJ cord-338895-c2wzjbgb 3 4 events event NNS cord-338895-c2wzjbgb 3 5 : : : cord-338895-c2wzjbgb 3 6 the the DT cord-338895-c2wzjbgb 3 7 case case NN cord-338895-c2wzjbgb 3 8 of of IN cord-338895-c2wzjbgb 3 9 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 3 10 pandemic pandemic NN cord-338895-c2wzjbgb 3 11 date date NN cord-338895-c2wzjbgb 3 12 : : : cord-338895-c2wzjbgb 3 13 2020 2020 CD cord-338895-c2wzjbgb 3 14 - - HYPH cord-338895-c2wzjbgb 3 15 05 05 CD cord-338895-c2wzjbgb 3 16 - - HYPH cord-338895-c2wzjbgb 3 17 16 16 CD cord-338895-c2wzjbgb 3 18 journal journal NN cord-338895-c2wzjbgb 3 19 : : : cord-338895-c2wzjbgb 4 1 Nonlinear nonlinear JJ cord-338895-c2wzjbgb 4 2 Dyn Dyn NNP cord-338895-c2wzjbgb 4 3 DOI doi NN cord-338895-c2wzjbgb 5 1 : : : cord-338895-c2wzjbgb 5 2 10.1007 10.1007 CD cord-338895-c2wzjbgb 5 3 / / SYM cord-338895-c2wzjbgb 5 4 s11071 s11071 NNP cord-338895-c2wzjbgb 5 5 - - HYPH cord-338895-c2wzjbgb 5 6 020 020 CD cord-338895-c2wzjbgb 5 7 - - HYPH cord-338895-c2wzjbgb 5 8 05680-w 05680-w CD cord-338895-c2wzjbgb 6 1 sha sha NNP cord-338895-c2wzjbgb 6 2 : : : cord-338895-c2wzjbgb 7 1 d9688d622e18662b398daa03bd818acde12e3f91 d9688d622e18662b398daa03bd818acde12e3f91 NNP cord-338895-c2wzjbgb 7 2 doc_id doc_id CD cord-338895-c2wzjbgb 7 3 : : : cord-338895-c2wzjbgb 7 4 338895 338895 CD cord-338895-c2wzjbgb 7 5 cord_uid cord_uid NN cord-338895-c2wzjbgb 7 6 : : : cord-338895-c2wzjbgb 8 1 c2wzjbgb c2wzjbgb . cord-338895-c2wzjbgb 8 2 Complex complex JJ cord-338895-c2wzjbgb 8 3 systems system NNS cord-338895-c2wzjbgb 8 4 have have VBP cord-338895-c2wzjbgb 8 5 characteristics characteristic NNS cord-338895-c2wzjbgb 8 6 that that WDT cord-338895-c2wzjbgb 8 7 give give VBP cord-338895-c2wzjbgb 8 8 rise rise NN cord-338895-c2wzjbgb 8 9 to to IN cord-338895-c2wzjbgb 8 10 the the DT cord-338895-c2wzjbgb 8 11 emergence emergence NN cord-338895-c2wzjbgb 8 12 of of IN cord-338895-c2wzjbgb 8 13 rare rare JJ cord-338895-c2wzjbgb 8 14 and and CC cord-338895-c2wzjbgb 8 15 extreme extreme JJ cord-338895-c2wzjbgb 8 16 events event NNS cord-338895-c2wzjbgb 8 17 . . . cord-338895-c2wzjbgb 9 1 This this DT cord-338895-c2wzjbgb 9 2 paper paper NN cord-338895-c2wzjbgb 9 3 addresses address VBZ cord-338895-c2wzjbgb 9 4 an an DT cord-338895-c2wzjbgb 9 5 example example NN cord-338895-c2wzjbgb 9 6 of of IN cord-338895-c2wzjbgb 9 7 such such JJ cord-338895-c2wzjbgb 9 8 type type NN cord-338895-c2wzjbgb 9 9 of of IN cord-338895-c2wzjbgb 9 10 crisis crisis NN cord-338895-c2wzjbgb 9 11 , , , cord-338895-c2wzjbgb 9 12 namely namely RB cord-338895-c2wzjbgb 9 13 the the DT cord-338895-c2wzjbgb 9 14 spread spread NN cord-338895-c2wzjbgb 9 15 of of IN cord-338895-c2wzjbgb 9 16 the the DT cord-338895-c2wzjbgb 9 17 new new JJ cord-338895-c2wzjbgb 9 18 Coronavirus Coronavirus NNP cord-338895-c2wzjbgb 9 19 disease disease NN cord-338895-c2wzjbgb 9 20 2019 2019 CD cord-338895-c2wzjbgb 9 21 ( ( -LRB- cord-338895-c2wzjbgb 9 22 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 9 23 ) ) -RRB- cord-338895-c2wzjbgb 9 24 . . . cord-338895-c2wzjbgb 10 1 The the DT cord-338895-c2wzjbgb 10 2 study study NN cord-338895-c2wzjbgb 10 3 deals deal VBZ cord-338895-c2wzjbgb 10 4 with with IN cord-338895-c2wzjbgb 10 5 the the DT cord-338895-c2wzjbgb 10 6 statistical statistical JJ cord-338895-c2wzjbgb 10 7 comparison comparison NN cord-338895-c2wzjbgb 10 8 and and CC cord-338895-c2wzjbgb 10 9 visualization visualization NN cord-338895-c2wzjbgb 10 10 of of IN cord-338895-c2wzjbgb 10 11 country country NN cord-338895-c2wzjbgb 10 12 - - HYPH cord-338895-c2wzjbgb 10 13 based base VBN cord-338895-c2wzjbgb 10 14 real real JJ cord-338895-c2wzjbgb 10 15 - - HYPH cord-338895-c2wzjbgb 10 16 data datum NNS cord-338895-c2wzjbgb 10 17 for for IN cord-338895-c2wzjbgb 10 18 the the DT cord-338895-c2wzjbgb 10 19 period period NN cord-338895-c2wzjbgb 10 20 December December NNP cord-338895-c2wzjbgb 10 21 31 31 CD cord-338895-c2wzjbgb 10 22 , , , cord-338895-c2wzjbgb 10 23 2019 2019 CD cord-338895-c2wzjbgb 10 24 , , , cord-338895-c2wzjbgb 10 25 up up IN cord-338895-c2wzjbgb 10 26 to to IN cord-338895-c2wzjbgb 10 27 April April NNP cord-338895-c2wzjbgb 10 28 12 12 CD cord-338895-c2wzjbgb 10 29 , , , cord-338895-c2wzjbgb 10 30 2020 2020 CD cord-338895-c2wzjbgb 10 31 , , , cord-338895-c2wzjbgb 10 32 and and CC cord-338895-c2wzjbgb 10 33 does do VBZ cord-338895-c2wzjbgb 10 34 not not RB cord-338895-c2wzjbgb 10 35 intend intend VB cord-338895-c2wzjbgb 10 36 to to TO cord-338895-c2wzjbgb 10 37 address address VB cord-338895-c2wzjbgb 10 38 the the DT cord-338895-c2wzjbgb 10 39 medical medical JJ cord-338895-c2wzjbgb 10 40 treatment treatment NN cord-338895-c2wzjbgb 10 41 of of IN cord-338895-c2wzjbgb 10 42 the the DT cord-338895-c2wzjbgb 10 43 disease disease NN cord-338895-c2wzjbgb 10 44 . . . cord-338895-c2wzjbgb 11 1 Two two CD cord-338895-c2wzjbgb 11 2 distinct distinct JJ cord-338895-c2wzjbgb 11 3 approaches approach NNS cord-338895-c2wzjbgb 11 4 are be VBP cord-338895-c2wzjbgb 11 5 considered consider VBN cord-338895-c2wzjbgb 11 6 , , , cord-338895-c2wzjbgb 11 7 the the DT cord-338895-c2wzjbgb 11 8 description description NN cord-338895-c2wzjbgb 11 9 of of IN cord-338895-c2wzjbgb 11 10 the the DT cord-338895-c2wzjbgb 11 11 number number NN cord-338895-c2wzjbgb 11 12 of of IN cord-338895-c2wzjbgb 11 13 infected infected JJ cord-338895-c2wzjbgb 11 14 people people NNS cord-338895-c2wzjbgb 11 15 across across IN cord-338895-c2wzjbgb 11 16 time time NN cord-338895-c2wzjbgb 11 17 by by IN cord-338895-c2wzjbgb 11 18 means mean NNS cord-338895-c2wzjbgb 11 19 of of IN cord-338895-c2wzjbgb 11 20 heuristic heuristic JJ cord-338895-c2wzjbgb 11 21 models model NNS cord-338895-c2wzjbgb 11 22 fitting fit VBG cord-338895-c2wzjbgb 11 23 the the DT cord-338895-c2wzjbgb 11 24 real real JJ cord-338895-c2wzjbgb 11 25 - - HYPH cord-338895-c2wzjbgb 11 26 world world NN cord-338895-c2wzjbgb 11 27 data datum NNS cord-338895-c2wzjbgb 11 28 , , , cord-338895-c2wzjbgb 11 29 and and CC cord-338895-c2wzjbgb 11 30 the the DT cord-338895-c2wzjbgb 11 31 comparison comparison NN cord-338895-c2wzjbgb 11 32 of of IN cord-338895-c2wzjbgb 11 33 countries country NNS cord-338895-c2wzjbgb 11 34 based base VBN cord-338895-c2wzjbgb 11 35 on on IN cord-338895-c2wzjbgb 11 36 hierarchical hierarchical JJ cord-338895-c2wzjbgb 11 37 clustering clustering NN cord-338895-c2wzjbgb 11 38 and and CC cord-338895-c2wzjbgb 11 39 multidimensional multidimensional JJ cord-338895-c2wzjbgb 11 40 scaling scaling NN cord-338895-c2wzjbgb 11 41 . . . cord-338895-c2wzjbgb 12 1 The the DT cord-338895-c2wzjbgb 12 2 computational computational JJ cord-338895-c2wzjbgb 12 3 and and CC cord-338895-c2wzjbgb 12 4 mathematical mathematical JJ cord-338895-c2wzjbgb 12 5 modeling modeling NN cord-338895-c2wzjbgb 12 6 lead lead NN cord-338895-c2wzjbgb 12 7 to to IN cord-338895-c2wzjbgb 12 8 the the DT cord-338895-c2wzjbgb 12 9 emergence emergence NN cord-338895-c2wzjbgb 12 10 of of IN cord-338895-c2wzjbgb 12 11 patterns pattern NNS cord-338895-c2wzjbgb 12 12 , , , cord-338895-c2wzjbgb 12 13 highlighting highlight VBG cord-338895-c2wzjbgb 12 14 similarities similarity NNS cord-338895-c2wzjbgb 12 15 and and CC cord-338895-c2wzjbgb 12 16 differences difference NNS cord-338895-c2wzjbgb 12 17 between between IN cord-338895-c2wzjbgb 12 18 the the DT cord-338895-c2wzjbgb 12 19 countries country NNS cord-338895-c2wzjbgb 12 20 , , , cord-338895-c2wzjbgb 12 21 pointing point VBG cord-338895-c2wzjbgb 12 22 toward toward IN cord-338895-c2wzjbgb 12 23 the the DT cord-338895-c2wzjbgb 12 24 main main JJ cord-338895-c2wzjbgb 12 25 characteristics characteristic NNS cord-338895-c2wzjbgb 12 26 of of IN cord-338895-c2wzjbgb 12 27 the the DT cord-338895-c2wzjbgb 12 28 complex complex JJ cord-338895-c2wzjbgb 12 29 dynamics dynamic NNS cord-338895-c2wzjbgb 12 30 . . . cord-338895-c2wzjbgb 13 1 Many many JJ cord-338895-c2wzjbgb 13 2 complex complex JJ cord-338895-c2wzjbgb 13 3 systems system NNS cord-338895-c2wzjbgb 13 4 generate generate VBP cord-338895-c2wzjbgb 13 5 outputs output NNS cord-338895-c2wzjbgb 13 6 that that WDT cord-338895-c2wzjbgb 13 7 are be VBP cord-338895-c2wzjbgb 13 8 characterized characterize VBN cord-338895-c2wzjbgb 13 9 by by IN cord-338895-c2wzjbgb 13 10 a a DT cord-338895-c2wzjbgb 13 11 frequency frequency NN cord-338895-c2wzjbgb 13 12 - - HYPH cord-338895-c2wzjbgb 13 13 size size NN cord-338895-c2wzjbgb 13 14 power power NN cord-338895-c2wzjbgb 13 15 law law NN cord-338895-c2wzjbgb 13 16 behavior behavior NN cord-338895-c2wzjbgb 13 17 over over IN cord-338895-c2wzjbgb 13 18 several several JJ cord-338895-c2wzjbgb 13 19 orders order NNS cord-338895-c2wzjbgb 13 20 of of IN cord-338895-c2wzjbgb 13 21 magnitude magnitude NN cord-338895-c2wzjbgb 13 22 [ [ -LRB- cord-338895-c2wzjbgb 13 23 1 1 CD cord-338895-c2wzjbgb 13 24 , , , cord-338895-c2wzjbgb 13 25 2 2 CD cord-338895-c2wzjbgb 13 26 ] ] -RRB- cord-338895-c2wzjbgb 13 27 . . . cord-338895-c2wzjbgb 14 1 The the DT cord-338895-c2wzjbgb 14 2 power power NN cord-338895-c2wzjbgb 14 3 laws law NNS cord-338895-c2wzjbgb 14 4 have have VBP cord-338895-c2wzjbgb 14 5 been be VBN cord-338895-c2wzjbgb 14 6 associated associate VBN cord-338895-c2wzjbgb 14 7 with with IN cord-338895-c2wzjbgb 14 8 scale scale NN cord-338895-c2wzjbgb 14 9 - - HYPH cord-338895-c2wzjbgb 14 10 invariance invariance NN cord-338895-c2wzjbgb 14 11 , , , cord-338895-c2wzjbgb 14 12 self self NN cord-338895-c2wzjbgb 14 13 - - HYPH cord-338895-c2wzjbgb 14 14 similarity similarity NN cord-338895-c2wzjbgb 14 15 , , , cord-338895-c2wzjbgb 14 16 and and CC cord-338895-c2wzjbgb 14 17 fractality fractality NN cord-338895-c2wzjbgb 14 18 and and CC cord-338895-c2wzjbgb 14 19 are be VBP cord-338895-c2wzjbgb 14 20 consistent consistent JJ cord-338895-c2wzjbgb 14 21 with with IN cord-338895-c2wzjbgb 14 22 self self NN cord-338895-c2wzjbgb 14 23 - - HYPH cord-338895-c2wzjbgb 14 24 organized organize VBN cord-338895-c2wzjbgb 14 25 criticallity criticallity NN cord-338895-c2wzjbgb 15 1 , , , cord-338895-c2wzjbgb 15 2 that that DT cord-338895-c2wzjbgb 15 3 is be VBZ cord-338895-c2wzjbgb 15 4 a a DT cord-338895-c2wzjbgb 15 5 process process NN cord-338895-c2wzjbgb 15 6 in in IN cord-338895-c2wzjbgb 15 7 which which WDT cord-338895-c2wzjbgb 15 8 a a DT cord-338895-c2wzjbgb 15 9 system system NN cord-338895-c2wzjbgb 15 10 , , , cord-338895-c2wzjbgb 15 11 by by IN cord-338895-c2wzjbgb 15 12 itself -PRON- PRP cord-338895-c2wzjbgb 15 13 , , , cord-338895-c2wzjbgb 15 14 converges converge VBZ cord-338895-c2wzjbgb 15 15 to to IN cord-338895-c2wzjbgb 15 16 a a DT cord-338895-c2wzjbgb 15 17 state state NN cord-338895-c2wzjbgb 15 18 characterized characterize VBN cord-338895-c2wzjbgb 15 19 by by IN cord-338895-c2wzjbgb 15 20 a a DT cord-338895-c2wzjbgb 15 21 coherent coherent JJ cord-338895-c2wzjbgb 15 22 global global JJ cord-338895-c2wzjbgb 15 23 pattern pattern NN cord-338895-c2wzjbgb 15 24 , , , cord-338895-c2wzjbgb 15 25 created create VBN cord-338895-c2wzjbgb 15 26 by by IN cord-338895-c2wzjbgb 15 27 local local JJ cord-338895-c2wzjbgb 15 28 interactions interaction NNS cord-338895-c2wzjbgb 15 29 between between IN cord-338895-c2wzjbgb 15 30 low low JJ cord-338895-c2wzjbgb 15 31 - - HYPH cord-338895-c2wzjbgb 15 32 level level NN cord-338895-c2wzjbgb 15 33 elements element NNS cord-338895-c2wzjbgb 15 34 [ [ -LRB- cord-338895-c2wzjbgb 15 35 3 3 CD cord-338895-c2wzjbgb 15 36 , , , cord-338895-c2wzjbgb 15 37 4 4 CD cord-338895-c2wzjbgb 15 38 ] ] -RRB- cord-338895-c2wzjbgb 15 39 . . . cord-338895-c2wzjbgb 16 1 The the DT cord-338895-c2wzjbgb 16 2 power power NN cord-338895-c2wzjbgb 16 3 laws law NNS cord-338895-c2wzjbgb 16 4 are be VBP cord-338895-c2wzjbgb 16 5 characterized characterize VBN cord-338895-c2wzjbgb 16 6 by by IN cord-338895-c2wzjbgb 16 7 heavy heavy JJ cord-338895-c2wzjbgb 16 8 - - NNS cord-338895-c2wzjbgb 16 9 tails tail NNS cord-338895-c2wzjbgb 16 10 , , , cord-338895-c2wzjbgb 16 11 giving give VBG cord-338895-c2wzjbgb 16 12 non non JJ cord-338895-c2wzjbgb 16 13 - - JJ cord-338895-c2wzjbgb 16 14 negligible negligible JJ cord-338895-c2wzjbgb 16 15 probability probability NN cord-338895-c2wzjbgb 16 16 to to IN cord-338895-c2wzjbgb 16 17 large large JJ cord-338895-c2wzjbgb 16 18 events event NNS cord-338895-c2wzjbgb 16 19 . . . cord-338895-c2wzjbgb 17 1 However however RB cord-338895-c2wzjbgb 17 2 , , , cord-338895-c2wzjbgb 17 3 some some DT cord-338895-c2wzjbgb 17 4 extreme extreme JJ cord-338895-c2wzjbgb 17 5 events event NNS cord-338895-c2wzjbgb 17 6 , , , cord-338895-c2wzjbgb 17 7 labeled label VBN cord-338895-c2wzjbgb 17 8 ' ' `` cord-338895-c2wzjbgb 17 9 dragon dragon NN cord-338895-c2wzjbgb 17 10 kings king NNS cord-338895-c2wzjbgb 17 11 ' ' '' cord-338895-c2wzjbgb 17 12 , , , cord-338895-c2wzjbgb 17 13 while while IN cord-338895-c2wzjbgb 17 14 predictable predictable JJ cord-338895-c2wzjbgb 17 15 , , , cord-338895-c2wzjbgb 17 16 can can MD cord-338895-c2wzjbgb 17 17 not not RB cord-338895-c2wzjbgb 17 18 be be VB cord-338895-c2wzjbgb 17 19 foreseen foresee VBN cord-338895-c2wzjbgb 17 20 by by IN cord-338895-c2wzjbgb 17 21 the the DT cord-338895-c2wzjbgb 17 22 extrapolation extrapolation NN cord-338895-c2wzjbgb 17 23 of of IN cord-338895-c2wzjbgb 17 24 power power NN cord-338895-c2wzjbgb 17 25 law law NN cord-338895-c2wzjbgb 17 26 distributions distribution NNS cord-338895-c2wzjbgb 17 27 [ [ -LRB- cord-338895-c2wzjbgb 17 28 5 5 CD cord-338895-c2wzjbgb 17 29 , , , cord-338895-c2wzjbgb 17 30 6 6 CD cord-338895-c2wzjbgb 17 31 ] ] -RRB- cord-338895-c2wzjbgb 17 32 . . . cord-338895-c2wzjbgb 17 33 ' ' '' cord-338895-c2wzjbgb 18 1 Dragon Dragon NNP cord-338895-c2wzjbgb 18 2 kings king NNS cord-338895-c2wzjbgb 18 3 ' ' POS cord-338895-c2wzjbgb 18 4 may may MD cord-338895-c2wzjbgb 18 5 be be VB cord-338895-c2wzjbgb 18 6 associated associate VBN cord-338895-c2wzjbgb 18 7 with with IN cord-338895-c2wzjbgb 18 8 positive positive JJ cord-338895-c2wzjbgb 18 9 feedback feedback NN cord-338895-c2wzjbgb 18 10 , , , cord-338895-c2wzjbgb 18 11 bifurcations bifurcation NNS cord-338895-c2wzjbgb 18 12 , , , cord-338895-c2wzjbgb 18 13 and and CC cord-338895-c2wzjbgb 18 14 regime regime NN cord-338895-c2wzjbgb 18 15 changes change NNS cord-338895-c2wzjbgb 18 16 in in IN cord-338895-c2wzjbgb 18 17 out out IN cord-338895-c2wzjbgb 18 18 - - HYPH cord-338895-c2wzjbgb 18 19 of of IN cord-338895-c2wzjbgb 18 20 - - HYPH cord-338895-c2wzjbgb 18 21 equilibrium equilibrium NN cord-338895-c2wzjbgb 18 22 complex complex JJ cord-338895-c2wzjbgb 18 23 systems system NNS cord-338895-c2wzjbgb 18 24 . . . cord-338895-c2wzjbgb 18 25 ' ' '' cord-338895-c2wzjbgb 19 1 Dragon Dragon NNP cord-338895-c2wzjbgb 19 2 kings king NNS cord-338895-c2wzjbgb 19 3 ' ' POS cord-338895-c2wzjbgb 19 4 are be VBP cord-338895-c2wzjbgb 19 5 often often RB cord-338895-c2wzjbgb 19 6 discussed discuss VBN cord-338895-c2wzjbgb 19 7 in in IN cord-338895-c2wzjbgb 19 8 contrast contrast NN cord-338895-c2wzjbgb 19 9 with with IN cord-338895-c2wzjbgb 19 10 ' ' `` cord-338895-c2wzjbgb 19 11 black black JJ cord-338895-c2wzjbgb 19 12 swans swan NNS cord-338895-c2wzjbgb 19 13 ' ' '' cord-338895-c2wzjbgb 19 14 , , , cord-338895-c2wzjbgb 19 15 which which WDT cord-338895-c2wzjbgb 19 16 denote denote VBP cord-338895-c2wzjbgb 19 17 unpredictable unpredictable JJ cord-338895-c2wzjbgb 19 18 catastrophic catastrophic JJ cord-338895-c2wzjbgb 19 19 rare rare JJ cord-338895-c2wzjbgb 19 20 events event NNS cord-338895-c2wzjbgb 19 21 [ [ -LRB- cord-338895-c2wzjbgb 19 22 7 7 CD cord-338895-c2wzjbgb 19 23 ] ] -RRB- cord-338895-c2wzjbgb 19 24 . . . cord-338895-c2wzjbgb 20 1 These these DT cord-338895-c2wzjbgb 20 2 outliers outlier NNS cord-338895-c2wzjbgb 20 3 are be VBP cord-338895-c2wzjbgb 20 4 pervasive pervasive JJ cord-338895-c2wzjbgb 20 5 in in IN cord-338895-c2wzjbgb 20 6 many many JJ cord-338895-c2wzjbgb 20 7 areas area NNS cord-338895-c2wzjbgb 20 8 , , , cord-338895-c2wzjbgb 20 9 namely namely RB cord-338895-c2wzjbgb 20 10 economy economy NN cord-338895-c2wzjbgb 20 11 , , , cord-338895-c2wzjbgb 20 12 finance finance NN cord-338895-c2wzjbgb 20 13 , , , cord-338895-c2wzjbgb 20 14 earth earth NNP cord-338895-c2wzjbgb 20 15 sciences science NNS cord-338895-c2wzjbgb 20 16 , , , cord-338895-c2wzjbgb 20 17 and and CC cord-338895-c2wzjbgb 20 18 biology biology NN cord-338895-c2wzjbgb 20 19 . . . cord-338895-c2wzjbgb 21 1 The the DT cord-338895-c2wzjbgb 21 2 recent recent JJ cord-338895-c2wzjbgb 21 3 Coronavirus Coronavirus NNP cord-338895-c2wzjbgb 21 4 disease disease NN cord-338895-c2wzjbgb 21 5 2019 2019 CD cord-338895-c2wzjbgb 21 6 ( ( -LRB- cord-338895-c2wzjbgb 21 7 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 21 8 ) ) -RRB- cord-338895-c2wzjbgb 21 9 outbreak outbreak NN cord-338895-c2wzjbgb 21 10 is be VBZ cord-338895-c2wzjbgb 21 11 an an DT cord-338895-c2wzjbgb 21 12 example example NN cord-338895-c2wzjbgb 21 13 of of IN cord-338895-c2wzjbgb 21 14 an an DT cord-338895-c2wzjbgb 21 15 extreme extreme JJ cord-338895-c2wzjbgb 21 16 event event NN cord-338895-c2wzjbgb 21 17 . . . cord-338895-c2wzjbgb 22 1 We -PRON- PRP cord-338895-c2wzjbgb 22 2 must must MD cord-338895-c2wzjbgb 22 3 highlight highlight VB cord-338895-c2wzjbgb 22 4 that that IN cord-338895-c2wzjbgb 22 5 the the DT cord-338895-c2wzjbgb 22 6 occurrence occurrence NN cord-338895-c2wzjbgb 22 7 of of IN cord-338895-c2wzjbgb 22 8 a a DT cord-338895-c2wzjbgb 22 9 rare rare JJ cord-338895-c2wzjbgb 22 10 event event NN cord-338895-c2wzjbgb 22 11 and and CC cord-338895-c2wzjbgb 22 12 the the DT cord-338895-c2wzjbgb 22 13 actual actual JJ cord-338895-c2wzjbgb 22 14 description description NN cord-338895-c2wzjbgb 22 15 of of IN cord-338895-c2wzjbgb 22 16 its -PRON- PRP$ cord-338895-c2wzjbgb 22 17 evolution evolution NN cord-338895-c2wzjbgb 22 18 are be VBP cord-338895-c2wzjbgb 22 19 , , , cord-338895-c2wzjbgb 22 20 however however RB cord-338895-c2wzjbgb 22 21 , , , cord-338895-c2wzjbgb 22 22 distinct distinct JJ cord-338895-c2wzjbgb 22 23 matters matter NNS cord-338895-c2wzjbgb 22 24 . . . cord-338895-c2wzjbgb 23 1 This this DT cord-338895-c2wzjbgb 23 2 paper paper NN cord-338895-c2wzjbgb 23 3 attempts attempt VBZ cord-338895-c2wzjbgb 23 4 to to TO cord-338895-c2wzjbgb 23 5 understand understand VB cord-338895-c2wzjbgb 23 6 the the DT cord-338895-c2wzjbgb 23 7 dynamics dynamic NNS cord-338895-c2wzjbgb 23 8 of of IN cord-338895-c2wzjbgb 23 9 the the DT cord-338895-c2wzjbgb 23 10 spreading spreading NN cord-338895-c2wzjbgb 23 11 across across IN cord-338895-c2wzjbgb 23 12 different different JJ cord-338895-c2wzjbgb 23 13 countries country NNS cord-338895-c2wzjbgb 23 14 of of IN cord-338895-c2wzjbgb 23 15 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 23 16 , , , cord-338895-c2wzjbgb 23 17 but but CC cord-338895-c2wzjbgb 23 18 not not RB cord-338895-c2wzjbgb 23 19 the the DT cord-338895-c2wzjbgb 23 20 prediction prediction NN cord-338895-c2wzjbgb 23 21 of of IN cord-338895-c2wzjbgb 23 22 its -PRON- PRP$ cord-338895-c2wzjbgb 23 23 outbreak outbreak NN cord-338895-c2wzjbgb 23 24 or or CC cord-338895-c2wzjbgb 23 25 conclusion conclusion NN cord-338895-c2wzjbgb 23 26 . . . cord-338895-c2wzjbgb 24 1 The the DT cord-338895-c2wzjbgb 24 2 first first JJ cord-338895-c2wzjbgb 24 3 case case NN cord-338895-c2wzjbgb 24 4 of of IN cord-338895-c2wzjbgb 24 5 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 24 6 [ [ -LRB- cord-338895-c2wzjbgb 24 7 8 8 CD cord-338895-c2wzjbgb 24 8 ] ] -RRB- cord-338895-c2wzjbgb 24 9 [ [ -LRB- cord-338895-c2wzjbgb 24 10 9 9 CD cord-338895-c2wzjbgb 24 11 ] ] -RRB- cord-338895-c2wzjbgb 24 12 [ [ -LRB- cord-338895-c2wzjbgb 24 13 10 10 CD cord-338895-c2wzjbgb 24 14 ] ] -RRB- cord-338895-c2wzjbgb 24 15 was be VBD cord-338895-c2wzjbgb 24 16 officially officially RB cord-338895-c2wzjbgb 24 17 reported report VBN cord-338895-c2wzjbgb 24 18 in in IN cord-338895-c2wzjbgb 24 19 China China NNP cord-338895-c2wzjbgb 24 20 on on IN cord-338895-c2wzjbgb 24 21 December December NNP cord-338895-c2wzjbgb 24 22 31 31 CD cord-338895-c2wzjbgb 24 23 , , , cord-338895-c2wzjbgb 24 24 2019 2019 CD cord-338895-c2wzjbgb 24 25 , , , cord-338895-c2wzjbgb 24 26 in in IN cord-338895-c2wzjbgb 24 27 Wuhan Wuhan NNP cord-338895-c2wzjbgb 24 28 of of IN cord-338895-c2wzjbgb 24 29 Hubei Hubei NNP cord-338895-c2wzjbgb 24 30 province province NN cord-338895-c2wzjbgb 24 31 . . . cord-338895-c2wzjbgb 25 1 At at IN cord-338895-c2wzjbgb 25 2 an an DT cord-338895-c2wzjbgb 25 3 early early JJ cord-338895-c2wzjbgb 25 4 stage stage NN cord-338895-c2wzjbgb 25 5 , , , cord-338895-c2wzjbgb 25 6 the the DT cord-338895-c2wzjbgb 25 7 Chinese chinese JJ cord-338895-c2wzjbgb 25 8 authorities authority NNS cord-338895-c2wzjbgb 25 9 seemed seem VBD cord-338895-c2wzjbgb 25 10 not not RB cord-338895-c2wzjbgb 25 11 to to TO cord-338895-c2wzjbgb 25 12 give give VB cord-338895-c2wzjbgb 25 13 importance importance NN cord-338895-c2wzjbgb 25 14 to to IN cord-338895-c2wzjbgb 25 15 the the DT cord-338895-c2wzjbgb 25 16 problem problem NN cord-338895-c2wzjbgb 25 17 . . . cord-338895-c2wzjbgb 26 1 However however RB cord-338895-c2wzjbgb 26 2 , , , cord-338895-c2wzjbgb 26 3 with with IN cord-338895-c2wzjbgb 26 4 the the DT cord-338895-c2wzjbgb 26 5 rapid rapid JJ cord-338895-c2wzjbgb 26 6 emergence emergence NN cord-338895-c2wzjbgb 26 7 of of IN cord-338895-c2wzjbgb 26 8 new new JJ cord-338895-c2wzjbgb 26 9 cases case NNS cord-338895-c2wzjbgb 26 10 , , , cord-338895-c2wzjbgb 26 11 the the DT cord-338895-c2wzjbgb 26 12 attitude attitude NN cord-338895-c2wzjbgb 26 13 changed change VBD cord-338895-c2wzjbgb 26 14 dramatically dramatically RB cord-338895-c2wzjbgb 26 15 . . . cord-338895-c2wzjbgb 27 1 The the DT cord-338895-c2wzjbgb 27 2 Chinese chinese JJ cord-338895-c2wzjbgb 27 3 government government NN cord-338895-c2wzjbgb 27 4 took take VBD cord-338895-c2wzjbgb 27 5 a a DT cord-338895-c2wzjbgb 27 6 series series NN cord-338895-c2wzjbgb 27 7 of of IN cord-338895-c2wzjbgb 27 8 strong strong JJ cord-338895-c2wzjbgb 27 9 measures measure NNS cord-338895-c2wzjbgb 27 10 to to TO cord-338895-c2wzjbgb 27 11 contain contain VB cord-338895-c2wzjbgb 27 12 the the DT cord-338895-c2wzjbgb 27 13 disease disease NN cord-338895-c2wzjbgb 27 14 and and CC cord-338895-c2wzjbgb 27 15 gave give VBD cord-338895-c2wzjbgb 27 16 the the DT cord-338895-c2wzjbgb 27 17 world world NN cord-338895-c2wzjbgb 27 18 an an DT cord-338895-c2wzjbgb 27 19 example example NN cord-338895-c2wzjbgb 27 20 of of IN cord-338895-c2wzjbgb 27 21 commitment commitment NN cord-338895-c2wzjbgb 27 22 and and CC cord-338895-c2wzjbgb 27 23 effectiveness effectiveness NN cord-338895-c2wzjbgb 27 24 . . . cord-338895-c2wzjbgb 28 1 The the DT cord-338895-c2wzjbgb 28 2 growth growth NN cord-338895-c2wzjbgb 28 3 rate rate NN cord-338895-c2wzjbgb 28 4 of of IN cord-338895-c2wzjbgb 28 5 new new JJ cord-338895-c2wzjbgb 28 6 cases case NNS cord-338895-c2wzjbgb 28 7 of of IN cord-338895-c2wzjbgb 28 8 COVID-19 covid-19 CD cord-338895-c2wzjbgb 28 9 in in IN cord-338895-c2wzjbgb 28 10 China China NNP cord-338895-c2wzjbgb 28 11 has have VBZ cord-338895-c2wzjbgb 28 12 slowed slow VBN cord-338895-c2wzjbgb 28 13 significantly significantly RB cord-338895-c2wzjbgb 28 14 , , , cord-338895-c2wzjbgb 28 15 and and CC cord-338895-c2wzjbgb 28 16 the the DT cord-338895-c2wzjbgb 28 17 situation situation NN cord-338895-c2wzjbgb 28 18 appears appear VBZ cord-338895-c2wzjbgb 28 19 to to TO cord-338895-c2wzjbgb 28 20 be be VB cord-338895-c2wzjbgb 28 21 under under IN cord-338895-c2wzjbgb 28 22 control control NN cord-338895-c2wzjbgb 28 23 at at IN cord-338895-c2wzjbgb 28 24 the the DT cord-338895-c2wzjbgb 28 25 moment moment NN cord-338895-c2wzjbgb 28 26 of of IN cord-338895-c2wzjbgb 28 27 writing write VBG cord-338895-c2wzjbgb 28 28 this this DT cord-338895-c2wzjbgb 28 29 paper paper NN cord-338895-c2wzjbgb 28 30 [ [ -LRB- cord-338895-c2wzjbgb 28 31 11 11 CD cord-338895-c2wzjbgb 28 32 , , , cord-338895-c2wzjbgb 28 33 12 12 CD cord-338895-c2wzjbgb 28 34 ] ] -RRB- cord-338895-c2wzjbgb 28 35 . . . cord-338895-c2wzjbgb 29 1 In in IN cord-338895-c2wzjbgb 29 2 the the DT cord-338895-c2wzjbgb 29 3 meantime meantime NN cord-338895-c2wzjbgb 29 4 , , , cord-338895-c2wzjbgb 29 5 new new JJ cord-338895-c2wzjbgb 29 6 cases case NNS cord-338895-c2wzjbgb 29 7 have have VBP cord-338895-c2wzjbgb 29 8 been be VBN cord-338895-c2wzjbgb 29 9 emerging emerge VBG cord-338895-c2wzjbgb 29 10 in in IN cord-338895-c2wzjbgb 29 11 many many JJ cord-338895-c2wzjbgb 29 12 countries country NNS cord-338895-c2wzjbgb 29 13 . . . cord-338895-c2wzjbgb 30 1 In in IN cord-338895-c2wzjbgb 30 2 particular particular JJ cord-338895-c2wzjbgb 30 3 , , , cord-338895-c2wzjbgb 30 4 the the DT cord-338895-c2wzjbgb 30 5 rapid rapid JJ cord-338895-c2wzjbgb 30 6 evolution evolution NN cord-338895-c2wzjbgb 30 7 in in IN cord-338895-c2wzjbgb 30 8 Iran Iran NNP cord-338895-c2wzjbgb 30 9 , , , cord-338895-c2wzjbgb 30 10 South South NNP cord-338895-c2wzjbgb 30 11 Korea Korea NNP cord-338895-c2wzjbgb 30 12 , , , cord-338895-c2wzjbgb 30 13 Italy Italy NNP cord-338895-c2wzjbgb 30 14 and and CC cord-338895-c2wzjbgb 30 15 Spain Spain NNP cord-338895-c2wzjbgb 30 16 became become VBD cord-338895-c2wzjbgb 30 17 the the DT cord-338895-c2wzjbgb 30 18 most most RBS cord-338895-c2wzjbgb 30 19 dramatic dramatic JJ cord-338895-c2wzjbgb 30 20 cases case NNS cord-338895-c2wzjbgb 30 21 . . . cord-338895-c2wzjbgb 31 1 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 31 2 was be VBD cord-338895-c2wzjbgb 31 3 gradually gradually RB cord-338895-c2wzjbgb 31 4 reaching reach VBG cord-338895-c2wzjbgb 31 5 all all DT cord-338895-c2wzjbgb 31 6 continents continent NNS cord-338895-c2wzjbgb 31 7 , , , cord-338895-c2wzjbgb 31 8 with with IN cord-338895-c2wzjbgb 31 9 cases case NNS cord-338895-c2wzjbgb 31 10 confirmed confirm VBN cord-338895-c2wzjbgb 31 11 all all RB cord-338895-c2wzjbgb 31 12 over over IN cord-338895-c2wzjbgb 31 13 the the DT cord-338895-c2wzjbgb 31 14 world world NN cord-338895-c2wzjbgb 31 15 , , , cord-338895-c2wzjbgb 31 16 while while IN cord-338895-c2wzjbgb 31 17 having have VBG cord-338895-c2wzjbgb 31 18 ' ' `` cord-338895-c2wzjbgb 31 19 alarming alarming JJ cord-338895-c2wzjbgb 31 20 levels level NNS cord-338895-c2wzjbgb 31 21 of of IN cord-338895-c2wzjbgb 31 22 inaction inaction NN cord-338895-c2wzjbgb 31 23 ' ' '' cord-338895-c2wzjbgb 31 24 by by IN cord-338895-c2wzjbgb 31 25 some some DT cord-338895-c2wzjbgb 31 26 countries country NNS cord-338895-c2wzjbgb 31 27 , , , cord-338895-c2wzjbgb 31 28 in in IN cord-338895-c2wzjbgb 31 29 the the DT cord-338895-c2wzjbgb 31 30 words word NNS cord-338895-c2wzjbgb 31 31 of of IN cord-338895-c2wzjbgb 31 32 the the DT cord-338895-c2wzjbgb 31 33 director director NN cord-338895-c2wzjbgb 31 34 of of IN cord-338895-c2wzjbgb 31 35 the the DT cord-338895-c2wzjbgb 31 36 World World NNP cord-338895-c2wzjbgb 31 37 Health Health NNP cord-338895-c2wzjbgb 31 38 Organization Organization NNP cord-338895-c2wzjbgb 31 39 ( ( -LRB- cord-338895-c2wzjbgb 31 40 WHO who WP cord-338895-c2wzjbgb 31 41 ) ) -RRB- cord-338895-c2wzjbgb 31 42 . . . cord-338895-c2wzjbgb 32 1 More more RBR cord-338895-c2wzjbgb 32 2 recently recently RB cord-338895-c2wzjbgb 32 3 , , , cord-338895-c2wzjbgb 32 4 by by IN cord-338895-c2wzjbgb 32 5 March March NNP cord-338895-c2wzjbgb 32 6 11 11 CD cord-338895-c2wzjbgb 32 7 , , , cord-338895-c2wzjbgb 32 8 2020 2020 CD cord-338895-c2wzjbgb 32 9 , , , cord-338895-c2wzjbgb 32 10 WHO who WP cord-338895-c2wzjbgb 32 11 officially officially RB cord-338895-c2wzjbgb 32 12 declared declare VBD cord-338895-c2wzjbgb 32 13 the the DT cord-338895-c2wzjbgb 32 14 COVID-19 covid-19 NN cord-338895-c2wzjbgb 32 15 a a DT cord-338895-c2wzjbgb 32 16 global global JJ cord-338895-c2wzjbgb 32 17 pandemic pandemic NN cord-338895-c2wzjbgb 32 18 , , , cord-338895-c2wzjbgb 32 19 just just RB cord-338895-c2wzjbgb 32 20 when when WRB cord-338895-c2wzjbgb 32 21 the the DT cord-338895-c2wzjbgb 32 22 number number NN cord-338895-c2wzjbgb 32 23 of of IN cord-338895-c2wzjbgb 32 24 known know VBN cord-338895-c2wzjbgb 32 25 cases case NNS cord-338895-c2wzjbgb 32 26 reached reach VBD cord-338895-c2wzjbgb 32 27 approximately approximately RB cord-338895-c2wzjbgb 32 28 121,000 121,000 CD cord-338895-c2wzjbgb 32 29 and and CC cord-338895-c2wzjbgb 32 30 caused cause VBD cord-338895-c2wzjbgb 32 31 4300 4300 CD cord-338895-c2wzjbgb 32 32 deaths death NNS cord-338895-c2wzjbgb 32 33 , , , cord-338895-c2wzjbgb 32 34 and and CC cord-338895-c2wzjbgb 32 35 after after IN cord-338895-c2wzjbgb 32 36 the the DT cord-338895-c2wzjbgb 32 37 cases case NNS cord-338895-c2wzjbgb 32 38 outside outside RB cord-338895-c2wzjbgb 32 39 of of IN cord-338895-c2wzjbgb 32 40 China China NNP cord-338895-c2wzjbgb 32 41 spread spread VBD cord-338895-c2wzjbgb 32 42 by by IN cord-338895-c2wzjbgb 32 43 a a DT cord-338895-c2wzjbgb 32 44 factor factor NN cord-338895-c2wzjbgb 32 45 of of IN cord-338895-c2wzjbgb 32 46 13 13 CD cord-338895-c2wzjbgb 32 47 and and CC cord-338895-c2wzjbgb 32 48 the the DT cord-338895-c2wzjbgb 32 49 number number NN cord-338895-c2wzjbgb 32 50 of of IN cord-338895-c2wzjbgb 32 51 countries country NNS cord-338895-c2wzjbgb 32 52 affected affect VBN cord-338895-c2wzjbgb 32 53 tripled triple VBD cord-338895-c2wzjbgb 32 54 in in IN cord-338895-c2wzjbgb 32 55 just just RB cord-338895-c2wzjbgb 32 56 two two CD cord-338895-c2wzjbgb 32 57 weeks week NNS cord-338895-c2wzjbgb 32 58 . . . cord-338895-c2wzjbgb 33 1 Panic panic NN cord-338895-c2wzjbgb 33 2 begins begin VBZ cord-338895-c2wzjbgb 33 3 to to TO cord-338895-c2wzjbgb 33 4 spread spread VB cord-338895-c2wzjbgb 33 5 in in IN cord-338895-c2wzjbgb 33 6 some some DT cord-338895-c2wzjbgb 33 7 populations population NNS cord-338895-c2wzjbgb 33 8 [ [ -LRB- cord-338895-c2wzjbgb 33 9 13 13 CD cord-338895-c2wzjbgb 33 10 ] ] -RRB- cord-338895-c2wzjbgb 33 11 , , , cord-338895-c2wzjbgb 33 12 fueled fuel VBN cord-338895-c2wzjbgb 33 13 by by IN cord-338895-c2wzjbgb 33 14 the the DT cord-338895-c2wzjbgb 33 15 massive massive JJ cord-338895-c2wzjbgb 33 16 and and CC cord-338895-c2wzjbgb 33 17 speculative speculative JJ cord-338895-c2wzjbgb 33 18 news news NN cord-338895-c2wzjbgb 33 19 broadcast broadcast VBN cord-338895-c2wzjbgb 33 20 by by IN cord-338895-c2wzjbgb 33 21 the the DT cord-338895-c2wzjbgb 33 22 media medium NNS cord-338895-c2wzjbgb 33 23 and and CC cord-338895-c2wzjbgb 33 24 social social JJ cord-338895-c2wzjbgb 33 25 networks network NNS cord-338895-c2wzjbgb 33 26 . . . cord-338895-c2wzjbgb 34 1 World world NN cord-338895-c2wzjbgb 34 2 governments government NNS cord-338895-c2wzjbgb 34 3 have have VBP cord-338895-c2wzjbgb 34 4 taken take VBN cord-338895-c2wzjbgb 34 5 drastic drastic JJ cord-338895-c2wzjbgb 34 6 measures measure NNS cord-338895-c2wzjbgb 34 7 , , , cord-338895-c2wzjbgb 34 8 such such JJ cord-338895-c2wzjbgb 34 9 as as IN cord-338895-c2wzjbgb 34 10 closing closing NN cord-338895-c2wzjbgb 34 11 schools school NNS cord-338895-c2wzjbgb 34 12 , , , cord-338895-c2wzjbgb 34 13 entertainment entertainment NN cord-338895-c2wzjbgb 34 14 venues venue NNS cord-338895-c2wzjbgb 34 15 and and CC cord-338895-c2wzjbgb 34 16 restaurants restaurant NNS cord-338895-c2wzjbgb 34 17 , , , cord-338895-c2wzjbgb 34 18 and and CC cord-338895-c2wzjbgb 34 19 the the DT cord-338895-c2wzjbgb 34 20 movement movement NN cord-338895-c2wzjbgb 34 21 of of IN cord-338895-c2wzjbgb 34 22 people people NNS cord-338895-c2wzjbgb 34 23 has have VBZ cord-338895-c2wzjbgb 34 24 slowed slow VBN cord-338895-c2wzjbgb 34 25 dramatically dramatically RB cord-338895-c2wzjbgb 34 26 , , , cord-338895-c2wzjbgb 34 27 in in IN cord-338895-c2wzjbgb 34 28 parallel parallel NN cord-338895-c2wzjbgb 34 29 with with IN cord-338895-c2wzjbgb 34 30 thousands thousand NNS cord-338895-c2wzjbgb 34 31 of of IN cord-338895-c2wzjbgb 34 32 canceled cancel VBN cord-338895-c2wzjbgb 34 33 flights flight NNS cord-338895-c2wzjbgb 34 34 [ [ -LRB- cord-338895-c2wzjbgb 34 35 14 14 CD cord-338895-c2wzjbgb 34 36 ] ] -RRB- cord-338895-c2wzjbgb 34 37 . . . cord-338895-c2wzjbgb 35 1 The the DT cord-338895-c2wzjbgb 35 2 tourism tourism NN cord-338895-c2wzjbgb 35 3 sector sector NN cord-338895-c2wzjbgb 35 4 and and CC cord-338895-c2wzjbgb 35 5 commercial commercial JJ cord-338895-c2wzjbgb 35 6 flights flight NNS cord-338895-c2wzjbgb 35 7 are be VBP cord-338895-c2wzjbgb 35 8 the the DT cord-338895-c2wzjbgb 35 9 most most RBS cord-338895-c2wzjbgb 35 10 affected affected JJ cord-338895-c2wzjbgb 35 11 and and CC cord-338895-c2wzjbgb 35 12 the the DT cord-338895-c2wzjbgb 35 13 world world NN cord-338895-c2wzjbgb 35 14 seems seem VBZ cord-338895-c2wzjbgb 35 15 to to TO cord-338895-c2wzjbgb 35 16 be be VB cord-338895-c2wzjbgb 35 17 heading head VBG cord-338895-c2wzjbgb 35 18 towards towards IN cord-338895-c2wzjbgb 35 19 an an DT cord-338895-c2wzjbgb 35 20 economic economic JJ cord-338895-c2wzjbgb 35 21 recession recession NN cord-338895-c2wzjbgb 35 22 , , , cord-338895-c2wzjbgb 35 23 with with IN cord-338895-c2wzjbgb 35 24 the the DT cord-338895-c2wzjbgb 35 25 GDP gdp NN cord-338895-c2wzjbgb 35 26 of of IN cord-338895-c2wzjbgb 35 27 some some DT cord-338895-c2wzjbgb 35 28 countries country NNS cord-338895-c2wzjbgb 35 29 being be VBG cord-338895-c2wzjbgb 35 30 able able JJ cord-338895-c2wzjbgb 35 31 to to TO cord-338895-c2wzjbgb 35 32 drop drop VB cord-338895-c2wzjbgb 35 33 double double JJ cord-338895-c2wzjbgb 35 34 - - HYPH cord-338895-c2wzjbgb 35 35 digit digit NN cord-338895-c2wzjbgb 35 36 figures figure NNS cord-338895-c2wzjbgb 35 37 . . . cord-338895-c2wzjbgb 36 1 No no DT cord-338895-c2wzjbgb 36 2 one one NN cord-338895-c2wzjbgb 36 3 can can MD cord-338895-c2wzjbgb 36 4 say say VB cord-338895-c2wzjbgb 36 5 whether whether IN cord-338895-c2wzjbgb 36 6 the the DT cord-338895-c2wzjbgb 36 7 measures measure NNS cord-338895-c2wzjbgb 36 8 being be VBG cord-338895-c2wzjbgb 36 9 taken take VBN cord-338895-c2wzjbgb 36 10 are be VBP cord-338895-c2wzjbgb 36 11 sufficient sufficient JJ cord-338895-c2wzjbgb 36 12 [ [ -LRB- cord-338895-c2wzjbgb 36 13 15 15 CD cord-338895-c2wzjbgb 36 14 ] ] -RRB- cord-338895-c2wzjbgb 36 15 , , , cord-338895-c2wzjbgb 36 16 or or CC cord-338895-c2wzjbgb 36 17 what what WP cord-338895-c2wzjbgb 36 18 the the DT cord-338895-c2wzjbgb 36 19 evolution evolution NN cord-338895-c2wzjbgb 36 20 of of IN cord-338895-c2wzjbgb 36 21 the the DT cord-338895-c2wzjbgb 36 22 pandemic pandemic NN cord-338895-c2wzjbgb 36 23 will will MD cord-338895-c2wzjbgb 36 24 be be VB cord-338895-c2wzjbgb 36 25 , , , cord-338895-c2wzjbgb 36 26 but but CC cord-338895-c2wzjbgb 36 27 this this DT cord-338895-c2wzjbgb 36 28 appears appear VBZ cord-338895-c2wzjbgb 36 29 to to TO cord-338895-c2wzjbgb 36 30 be be VB cord-338895-c2wzjbgb 36 31 the the DT cord-338895-c2wzjbgb 36 32 public public JJ cord-338895-c2wzjbgb 36 33 health health NN cord-338895-c2wzjbgb 36 34 crisis crisis NN cord-338895-c2wzjbgb 36 35 of of IN cord-338895-c2wzjbgb 36 36 a a DT cord-338895-c2wzjbgb 36 37 generation generation NN cord-338895-c2wzjbgb 36 38 . . . cord-338895-c2wzjbgb 37 1 However however RB cord-338895-c2wzjbgb 37 2 , , , cord-338895-c2wzjbgb 37 3 we -PRON- PRP cord-338895-c2wzjbgb 37 4 can can MD cord-338895-c2wzjbgb 37 5 not not RB cord-338895-c2wzjbgb 37 6 forget forget VB cord-338895-c2wzjbgb 37 7 that that DT cord-338895-c2wzjbgb 37 8 , , , cord-338895-c2wzjbgb 37 9 for for IN cord-338895-c2wzjbgb 37 10 example example NN cord-338895-c2wzjbgb 37 11 , , , cord-338895-c2wzjbgb 37 12 the the DT cord-338895-c2wzjbgb 37 13 H1N1 H1N1 NNP cord-338895-c2wzjbgb 37 14 flu flu NN cord-338895-c2wzjbgb 37 15 of of IN cord-338895-c2wzjbgb 37 16 2009 2009 CD cord-338895-c2wzjbgb 37 17 caused cause VBN cord-338895-c2wzjbgb 37 18 between between IN cord-338895-c2wzjbgb 37 19 151,000 151,000 CD cord-338895-c2wzjbgb 37 20 and and CC cord-338895-c2wzjbgb 37 21 575,000 575,000 CD cord-338895-c2wzjbgb 37 22 deaths death NNS cord-338895-c2wzjbgb 37 23 worldwide worldwide RB cord-338895-c2wzjbgb 37 24 [ [ -LRB- cord-338895-c2wzjbgb 37 25 16 16 CD cord-338895-c2wzjbgb 37 26 ] ] -RRB- cord-338895-c2wzjbgb 37 27 . . . cord-338895-c2wzjbgb 38 1 The the DT cord-338895-c2wzjbgb 38 2 COVID-19 covid-19 NN cord-338895-c2wzjbgb 38 3 has have VBZ cord-338895-c2wzjbgb 38 4 still still RB cord-338895-c2wzjbgb 38 5 a a DT cord-338895-c2wzjbgb 38 6 long long JJ cord-338895-c2wzjbgb 38 7 way way NN cord-338895-c2wzjbgb 38 8 to to TO cord-338895-c2wzjbgb 38 9 go go VB cord-338895-c2wzjbgb 38 10 to to TO cord-338895-c2wzjbgb 38 11 reach reach VB cord-338895-c2wzjbgb 38 12 the the DT cord-338895-c2wzjbgb 38 13 H1N1 H1N1 NNP cord-338895-c2wzjbgb 38 14 levels level NNS cord-338895-c2wzjbgb 38 15 . . . cord-338895-c2wzjbgb 39 1 The the DT cord-338895-c2wzjbgb 39 2 world world NN cord-338895-c2wzjbgb 39 3 faced face VBD cord-338895-c2wzjbgb 39 4 other other JJ cord-338895-c2wzjbgb 39 5 flu flu NN cord-338895-c2wzjbgb 39 6 pandemic pandemic NN cord-338895-c2wzjbgb 39 7 crises crisis NNS cord-338895-c2wzjbgb 39 8 in in IN cord-338895-c2wzjbgb 39 9 the the DT cord-338895-c2wzjbgb 39 10 past past NN cord-338895-c2wzjbgb 39 11 [ [ -LRB- cord-338895-c2wzjbgb 39 12 17 17 CD cord-338895-c2wzjbgb 39 13 ] ] -RRB- cord-338895-c2wzjbgb 39 14 and and CC cord-338895-c2wzjbgb 39 15 the the DT cord-338895-c2wzjbgb 39 16 scientific scientific JJ cord-338895-c2wzjbgb 39 17 knowledge knowledge NN cord-338895-c2wzjbgb 39 18 has have VBZ cord-338895-c2wzjbgb 39 19 never never RB cord-338895-c2wzjbgb 39 20 been be VBN cord-338895-c2wzjbgb 39 21 so so RB cord-338895-c2wzjbgb 39 22 well well RB cord-338895-c2wzjbgb 39 23 prepared prepared JJ cord-338895-c2wzjbgb 39 24 as as IN cord-338895-c2wzjbgb 39 25 today today NN cord-338895-c2wzjbgb 39 26 to to TO cord-338895-c2wzjbgb 39 27 give give VB cord-338895-c2wzjbgb 39 28 appropriate appropriate JJ cord-338895-c2wzjbgb 39 29 answers answer NNS cord-338895-c2wzjbgb 39 30 to to IN cord-338895-c2wzjbgb 39 31 health health NN cord-338895-c2wzjbgb 39 32 crises crisis NNS cord-338895-c2wzjbgb 39 33 . . . cord-338895-c2wzjbgb 40 1 The the DT cord-338895-c2wzjbgb 40 2 analysis analysis NN cord-338895-c2wzjbgb 40 3 of of IN cord-338895-c2wzjbgb 40 4 the the DT cord-338895-c2wzjbgb 40 5 evolution evolution NN cord-338895-c2wzjbgb 40 6 of of IN cord-338895-c2wzjbgb 40 7 the the DT cord-338895-c2wzjbgb 40 8 confirmed confirm VBN cord-338895-c2wzjbgb 40 9 cases case NNS cord-338895-c2wzjbgb 40 10 versus versus IN cord-338895-c2wzjbgb 40 11 time time NN cord-338895-c2wzjbgb 40 12 has have VBZ cord-338895-c2wzjbgb 40 13 considerable considerable JJ cord-338895-c2wzjbgb 40 14 interest interest NN cord-338895-c2wzjbgb 40 15 from from IN cord-338895-c2wzjbgb 40 16 the the DT cord-338895-c2wzjbgb 40 17 point point NN cord-338895-c2wzjbgb 40 18 of of IN cord-338895-c2wzjbgb 40 19 view view NN cord-338895-c2wzjbgb 40 20 of of IN cord-338895-c2wzjbgb 40 21 delivering deliver VBG cord-338895-c2wzjbgb 40 22 good good JJ cord-338895-c2wzjbgb 40 23 information information NN cord-338895-c2wzjbgb 40 24 to to IN cord-338895-c2wzjbgb 40 25 health health NN cord-338895-c2wzjbgb 40 26 organizations organization NNS cord-338895-c2wzjbgb 40 27 and and CC cord-338895-c2wzjbgb 40 28 to to IN cord-338895-c2wzjbgb 40 29 the the DT cord-338895-c2wzjbgb 40 30 general general JJ cord-338895-c2wzjbgb 40 31 public public NN cord-338895-c2wzjbgb 40 32 . . . cord-338895-c2wzjbgb 41 1 Several several JJ cord-338895-c2wzjbgb 41 2 statistics statistic NNS cord-338895-c2wzjbgb 41 3 have have VBP cord-338895-c2wzjbgb 41 4 been be VBN cord-338895-c2wzjbgb 41 5 presented present VBN cord-338895-c2wzjbgb 41 6 , , , cord-338895-c2wzjbgb 41 7 adopting adopt VBG cord-338895-c2wzjbgb 41 8 different different JJ cord-338895-c2wzjbgb 41 9 forms form NNS cord-338895-c2wzjbgb 41 10 for for IN cord-338895-c2wzjbgb 41 11 organizing organize VBG cord-338895-c2wzjbgb 41 12 and and CC cord-338895-c2wzjbgb 41 13 visualizing visualize VBG cord-338895-c2wzjbgb 41 14 the the DT cord-338895-c2wzjbgb 41 15 data datum NNS cord-338895-c2wzjbgb 41 16 . . . cord-338895-c2wzjbgb 42 1 However however RB cord-338895-c2wzjbgb 42 2 , , , cord-338895-c2wzjbgb 42 3 a a DT cord-338895-c2wzjbgb 42 4 comprehensive comprehensive JJ cord-338895-c2wzjbgb 42 5 representation representation NN cord-338895-c2wzjbgb 42 6 of of IN cord-338895-c2wzjbgb 42 7 the the DT cord-338895-c2wzjbgb 42 8 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 42 9 spreading spread VBG cord-338895-c2wzjbgb 42 10 dynamics dynamic NNS cord-338895-c2wzjbgb 42 11 across across IN cord-338895-c2wzjbgb 42 12 different different JJ cord-338895-c2wzjbgb 42 13 countries country NNS cord-338895-c2wzjbgb 42 14 is be VBZ cord-338895-c2wzjbgb 42 15 still still RB cord-338895-c2wzjbgb 42 16 missing miss VBG cord-338895-c2wzjbgb 42 17 . . . cord-338895-c2wzjbgb 43 1 In in IN cord-338895-c2wzjbgb 43 2 epidemiology epidemiology NN cord-338895-c2wzjbgb 43 3 , , , cord-338895-c2wzjbgb 43 4 mathematical mathematical JJ cord-338895-c2wzjbgb 43 5 modeling modeling NN cord-338895-c2wzjbgb 43 6 plays play VBZ cord-338895-c2wzjbgb 43 7 an an DT cord-338895-c2wzjbgb 43 8 important important JJ cord-338895-c2wzjbgb 43 9 role role NN cord-338895-c2wzjbgb 43 10 in in IN cord-338895-c2wzjbgb 43 11 understanding understand VBG cord-338895-c2wzjbgb 43 12 the the DT cord-338895-c2wzjbgb 43 13 mechanisms mechanism NNS cord-338895-c2wzjbgb 43 14 that that WDT cord-338895-c2wzjbgb 43 15 govern govern VBP cord-338895-c2wzjbgb 43 16 the the DT cord-338895-c2wzjbgb 43 17 transmission transmission NN cord-338895-c2wzjbgb 43 18 of of IN cord-338895-c2wzjbgb 43 19 contagious contagious JJ cord-338895-c2wzjbgb 43 20 diseases disease NNS cord-338895-c2wzjbgb 43 21 . . . cord-338895-c2wzjbgb 44 1 The the DT cord-338895-c2wzjbgb 44 2 work work NN cord-338895-c2wzjbgb 44 3 by by IN cord-338895-c2wzjbgb 44 4 Kermack Kermack NNP cord-338895-c2wzjbgb 44 5 and and CC cord-338895-c2wzjbgb 44 6 McKendrick McKendrick NNP cord-338895-c2wzjbgb 44 7 [ [ -LRB- cord-338895-c2wzjbgb 44 8 18 18 CD cord-338895-c2wzjbgb 44 9 ] ] -RRB- cord-338895-c2wzjbgb 44 10 formulated formulate VBD cord-338895-c2wzjbgb 44 11 the the DT cord-338895-c2wzjbgb 44 12 general general JJ cord-338895-c2wzjbgb 44 13 theory theory NN cord-338895-c2wzjbgb 44 14 of of IN cord-338895-c2wzjbgb 44 15 susceptible susceptible JJ cord-338895-c2wzjbgb 44 16 - - HYPH cord-338895-c2wzjbgb 44 17 infected infected JJ cord-338895-c2wzjbgb 44 18 - - HYPH cord-338895-c2wzjbgb 44 19 recovered recovered JJ cord-338895-c2wzjbgb 44 20 ( ( -LRB- cord-338895-c2wzjbgb 44 21 SIR SIR NNP cord-338895-c2wzjbgb 44 22 ) ) -RRB- cord-338895-c2wzjbgb 44 23 . . . cord-338895-c2wzjbgb 45 1 A a DT cord-338895-c2wzjbgb 45 2 SIR SIR NNP cord-338895-c2wzjbgb 45 3 model model NN cord-338895-c2wzjbgb 45 4 involves involve VBZ cord-338895-c2wzjbgb 45 5 a a DT cord-338895-c2wzjbgb 45 6 system system NN cord-338895-c2wzjbgb 45 7 of of IN cord-338895-c2wzjbgb 45 8 coupled coupled JJ cord-338895-c2wzjbgb 45 9 equations equation NNS cord-338895-c2wzjbgb 45 10 relating relate VBG cord-338895-c2wzjbgb 45 11 the the DT cord-338895-c2wzjbgb 45 12 numbers number NNS cord-338895-c2wzjbgb 45 13 of of IN cord-338895-c2wzjbgb 45 14 susceptible susceptible JJ cord-338895-c2wzjbgb 45 15 , , , cord-338895-c2wzjbgb 45 16 infected infected JJ cord-338895-c2wzjbgb 45 17 and and CC cord-338895-c2wzjbgb 45 18 recovered recover VBD cord-338895-c2wzjbgb 45 19 people people NNS cord-338895-c2wzjbgb 45 20 over over IN cord-338895-c2wzjbgb 45 21 time time NN cord-338895-c2wzjbgb 45 22 , , , cord-338895-c2wzjbgb 45 23 and and CC cord-338895-c2wzjbgb 45 24 computes compute VBZ cord-338895-c2wzjbgb 45 25 the the DT cord-338895-c2wzjbgb 45 26 theoretical theoretical JJ cord-338895-c2wzjbgb 45 27 number number NN cord-338895-c2wzjbgb 45 28 of of IN cord-338895-c2wzjbgb 45 29 infected infected JJ cord-338895-c2wzjbgb 45 30 people people NNS cord-338895-c2wzjbgb 45 31 in in IN cord-338895-c2wzjbgb 45 32 a a DT cord-338895-c2wzjbgb 45 33 closed closed JJ cord-338895-c2wzjbgb 45 34 population population NN cord-338895-c2wzjbgb 45 35 . . . cord-338895-c2wzjbgb 46 1 Many many JJ cord-338895-c2wzjbgb 46 2 variations variation NNS cord-338895-c2wzjbgb 46 3 of of IN cord-338895-c2wzjbgb 46 4 the the DT cord-338895-c2wzjbgb 46 5 original original JJ cord-338895-c2wzjbgb 46 6 SIR SIR NNP cord-338895-c2wzjbgb 46 7 model model NN cord-338895-c2wzjbgb 46 8 were be VBD cord-338895-c2wzjbgb 46 9 proposed propose VBN cord-338895-c2wzjbgb 46 10 , , , cord-338895-c2wzjbgb 46 11 such such JJ cord-338895-c2wzjbgb 46 12 as as IN cord-338895-c2wzjbgb 46 13 the the DT cord-338895-c2wzjbgb 46 14 susceptible susceptible JJ cord-338895-c2wzjbgb 46 15 - - HYPH cord-338895-c2wzjbgb 46 16 infectious infectious JJ cord-338895-c2wzjbgb 46 17 - - HYPH cord-338895-c2wzjbgb 46 18 susceptible susceptible JJ cord-338895-c2wzjbgb 46 19 ( ( -LRB- cord-338895-c2wzjbgb 46 20 SIS SIS NNP cord-338895-c2wzjbgb 46 21 ) ) -RRB- cord-338895-c2wzjbgb 46 22 and and CC cord-338895-c2wzjbgb 46 23 the the DT cord-338895-c2wzjbgb 46 24 susceptible susceptible JJ cord-338895-c2wzjbgb 46 25 - - HYPH cord-338895-c2wzjbgb 46 26 exposed expose VBN cord-338895-c2wzjbgb 46 27 - - HYPH cord-338895-c2wzjbgb 46 28 infectious infectious RB cord-338895-c2wzjbgb 46 29 - - HYPH cord-338895-c2wzjbgb 46 30 recovered recovered JJ cord-338895-c2wzjbgb 46 31 ( ( -LRB- cord-338895-c2wzjbgb 46 32 SEIR SEIR NNP cord-338895-c2wzjbgb 46 33 ) ) -RRB- cord-338895-c2wzjbgb 46 34 , , , cord-338895-c2wzjbgb 46 35 based base VBN cord-338895-c2wzjbgb 46 36 on on IN cord-338895-c2wzjbgb 46 37 ordinary ordinary JJ cord-338895-c2wzjbgb 46 38 [ [ -LRB- cord-338895-c2wzjbgb 46 39 19 19 CD cord-338895-c2wzjbgb 46 40 ] ] -RRB- cord-338895-c2wzjbgb 46 41 , , , cord-338895-c2wzjbgb 46 42 stochastic stochastic JJ cord-338895-c2wzjbgb 46 43 [ [ -LRB- cord-338895-c2wzjbgb 46 44 20 20 CD cord-338895-c2wzjbgb 46 45 ] ] -RRB- cord-338895-c2wzjbgb 46 46 and and CC cord-338895-c2wzjbgb 46 47 fractional fractional JJ cord-338895-c2wzjbgb 46 48 order order NN cord-338895-c2wzjbgb 46 49 [ [ -LRB- cord-338895-c2wzjbgb 46 50 21 21 CD cord-338895-c2wzjbgb 46 51 , , , cord-338895-c2wzjbgb 46 52 22 22 CD cord-338895-c2wzjbgb 46 53 ] ] -RRB- cord-338895-c2wzjbgb 46 54 differential differential JJ cord-338895-c2wzjbgb 46 55 equations equation NNS cord-338895-c2wzjbgb 46 56 . . . cord-338895-c2wzjbgb 47 1 These these DT cord-338895-c2wzjbgb 47 2 recent recent JJ cord-338895-c2wzjbgb 47 3 versions version NNS cord-338895-c2wzjbgb 47 4 were be VBD cord-338895-c2wzjbgb 47 5 adopted adopt VBN cord-338895-c2wzjbgb 47 6 for for IN cord-338895-c2wzjbgb 47 7 studying study VBG cord-338895-c2wzjbgb 47 8 the the DT cord-338895-c2wzjbgb 47 9 spread spread NN cord-338895-c2wzjbgb 47 10 of of IN cord-338895-c2wzjbgb 47 11 distinct distinct JJ cord-338895-c2wzjbgb 47 12 infectious infectious JJ cord-338895-c2wzjbgb 47 13 diseases disease NNS cord-338895-c2wzjbgb 47 14 [ [ -LRB- cord-338895-c2wzjbgb 47 15 23 23 CD cord-338895-c2wzjbgb 47 16 , , , cord-338895-c2wzjbgb 47 17 24 24 CD cord-338895-c2wzjbgb 47 18 ] ] -RRB- cord-338895-c2wzjbgb 47 19 , , , cord-338895-c2wzjbgb 47 20 including include VBG cord-338895-c2wzjbgb 47 21 the the DT cord-338895-c2wzjbgb 47 22 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 47 23 [ [ -LRB- cord-338895-c2wzjbgb 47 24 25 25 CD cord-338895-c2wzjbgb 47 25 ] ] -RRB- cord-338895-c2wzjbgb 47 26 . . . cord-338895-c2wzjbgb 48 1 However however RB cord-338895-c2wzjbgb 48 2 , , , cord-338895-c2wzjbgb 48 3 the the DT cord-338895-c2wzjbgb 48 4 main main JJ cord-338895-c2wzjbgb 48 5 concern concern NN cord-338895-c2wzjbgb 48 6 of of IN cord-338895-c2wzjbgb 48 7 such such JJ cord-338895-c2wzjbgb 48 8 approach approach NN cord-338895-c2wzjbgb 48 9 is be VBZ cord-338895-c2wzjbgb 48 10 the the DT cord-338895-c2wzjbgb 48 11 model model NN cord-338895-c2wzjbgb 48 12 validation validation NN cord-338895-c2wzjbgb 48 13 , , , cord-338895-c2wzjbgb 48 14 since since IN cord-338895-c2wzjbgb 48 15 it -PRON- PRP cord-338895-c2wzjbgb 48 16 requires require VBZ cord-338895-c2wzjbgb 48 17 to to TO cord-338895-c2wzjbgb 48 18 compare compare VB cord-338895-c2wzjbgb 48 19 the the DT cord-338895-c2wzjbgb 48 20 results result NNS cord-338895-c2wzjbgb 48 21 with with IN cord-338895-c2wzjbgb 48 22 real real JJ cord-338895-c2wzjbgb 48 23 data datum NNS cord-338895-c2wzjbgb 48 24 . . . cord-338895-c2wzjbgb 49 1 Contrary contrary JJ cord-338895-c2wzjbgb 49 2 to to IN cord-338895-c2wzjbgb 49 3 modeldriven modeldriven NNP cord-338895-c2wzjbgb 49 4 , , , cord-338895-c2wzjbgb 49 5 data data NN cord-338895-c2wzjbgb 49 6 - - HYPH cord-338895-c2wzjbgb 49 7 driven drive VBN cord-338895-c2wzjbgb 49 8 approaches approach NNS cord-338895-c2wzjbgb 49 9 rely rely VBP cord-338895-c2wzjbgb 49 10 on on IN cord-338895-c2wzjbgb 49 11 data datum NNS cord-338895-c2wzjbgb 49 12 series series NN cord-338895-c2wzjbgb 49 13 for for IN cord-338895-c2wzjbgb 49 14 deriving derive VBG cord-338895-c2wzjbgb 49 15 adequate adequate JJ cord-338895-c2wzjbgb 49 16 fitting fitting JJ cord-338895-c2wzjbgb 49 17 functions function NNS cord-338895-c2wzjbgb 49 18 . . . cord-338895-c2wzjbgb 50 1 These these DT cord-338895-c2wzjbgb 50 2 heuristic heuristic JJ cord-338895-c2wzjbgb 50 3 models model NNS cord-338895-c2wzjbgb 50 4 describe describe VBP cord-338895-c2wzjbgb 50 5 well well RB cord-338895-c2wzjbgb 50 6 one one CD cord-338895-c2wzjbgb 50 7 stage stage NN cord-338895-c2wzjbgb 50 8 of of IN cord-338895-c2wzjbgb 50 9 the the DT cord-338895-c2wzjbgb 50 10 epidemic epidemic NN cord-338895-c2wzjbgb 50 11 , , , cord-338895-c2wzjbgb 50 12 but but CC cord-338895-c2wzjbgb 50 13 fail fail VB cord-338895-c2wzjbgb 50 14 when when WRB cord-338895-c2wzjbgb 50 15 the the DT cord-338895-c2wzjbgb 50 16 disease disease NN cord-338895-c2wzjbgb 50 17 evolves evolve VBZ cord-338895-c2wzjbgb 50 18 toward toward IN cord-338895-c2wzjbgb 50 19 a a DT cord-338895-c2wzjbgb 50 20 different different JJ cord-338895-c2wzjbgb 50 21 phase phase NN cord-338895-c2wzjbgb 50 22 . . . cord-338895-c2wzjbgb 51 1 We -PRON- PRP cord-338895-c2wzjbgb 51 2 must must MD cord-338895-c2wzjbgb 51 3 also also RB cord-338895-c2wzjbgb 51 4 note note VB cord-338895-c2wzjbgb 51 5 that that IN cord-338895-c2wzjbgb 51 6 the the DT cord-338895-c2wzjbgb 51 7 heuristic heuristic JJ cord-338895-c2wzjbgb 51 8 model model NN cord-338895-c2wzjbgb 51 9 is be VBZ cord-338895-c2wzjbgb 51 10 useless useless JJ cord-338895-c2wzjbgb 51 11 in in IN cord-338895-c2wzjbgb 51 12 the the DT cord-338895-c2wzjbgb 51 13 initial initial JJ cord-338895-c2wzjbgb 51 14 epidemic epidemic NN cord-338895-c2wzjbgb 51 15 phase phase NN cord-338895-c2wzjbgb 51 16 , , , cord-338895-c2wzjbgb 51 17 due due IN cord-338895-c2wzjbgb 51 18 to to IN cord-338895-c2wzjbgb 51 19 insufficient insufficient JJ cord-338895-c2wzjbgb 51 20 data datum NNS cord-338895-c2wzjbgb 51 21 [ [ -LRB- cord-338895-c2wzjbgb 51 22 26 26 CD cord-338895-c2wzjbgb 51 23 , , , cord-338895-c2wzjbgb 51 24 27 27 CD cord-338895-c2wzjbgb 51 25 ] ] -RRB- cord-338895-c2wzjbgb 51 26 . . . cord-338895-c2wzjbgb 52 1 The the DT cord-338895-c2wzjbgb 52 2 paper paper NN cord-338895-c2wzjbgb 52 3 addresses address VBZ cord-338895-c2wzjbgb 52 4 the the DT cord-338895-c2wzjbgb 52 5 statistical statistical JJ cord-338895-c2wzjbgb 52 6 comparison comparison NN cord-338895-c2wzjbgb 52 7 and and CC cord-338895-c2wzjbgb 52 8 visualization visualization NN cord-338895-c2wzjbgb 52 9 of of IN cord-338895-c2wzjbgb 52 10 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 52 11 country country NN cord-338895-c2wzjbgb 52 12 reported report VBD cord-338895-c2wzjbgb 52 13 cases case NNS cord-338895-c2wzjbgb 52 14 in in IN cord-338895-c2wzjbgb 52 15 the the DT cord-338895-c2wzjbgb 52 16 period period NN cord-338895-c2wzjbgb 52 17 December December NNP cord-338895-c2wzjbgb 52 18 31 31 CD cord-338895-c2wzjbgb 52 19 , , , cord-338895-c2wzjbgb 52 20 2019 2019 CD cord-338895-c2wzjbgb 52 21 , , , cord-338895-c2wzjbgb 52 22 up up IN cord-338895-c2wzjbgb 52 23 to to IN cord-338895-c2wzjbgb 52 24 April April NNP cord-338895-c2wzjbgb 52 25 12 12 CD cord-338895-c2wzjbgb 52 26 , , , cord-338895-c2wzjbgb 52 27 2020 2020 CD cord-338895-c2wzjbgb 52 28 . . . cord-338895-c2wzjbgb 53 1 The the DT cord-338895-c2wzjbgb 53 2 study study NN cord-338895-c2wzjbgb 53 3 does do VBZ cord-338895-c2wzjbgb 53 4 not not RB cord-338895-c2wzjbgb 53 5 aim aim VB cord-338895-c2wzjbgb 53 6 to to TO cord-338895-c2wzjbgb 53 7 be be VB cord-338895-c2wzjbgb 53 8 a a DT cord-338895-c2wzjbgb 53 9 contribution contribution NN cord-338895-c2wzjbgb 53 10 tailored tailor VBN cord-338895-c2wzjbgb 53 11 for for IN cord-338895-c2wzjbgb 53 12 medical medical JJ cord-338895-c2wzjbgb 53 13 treatment treatment NN cord-338895-c2wzjbgb 53 14 or or CC cord-338895-c2wzjbgb 53 15 prevention prevention NN cord-338895-c2wzjbgb 53 16 of of IN cord-338895-c2wzjbgb 53 17 the the DT cord-338895-c2wzjbgb 53 18 disease disease NN cord-338895-c2wzjbgb 53 19 . . . cord-338895-c2wzjbgb 54 1 Therefore therefore RB cord-338895-c2wzjbgb 54 2 , , , cord-338895-c2wzjbgb 54 3 in in IN cord-338895-c2wzjbgb 54 4 a a DT cord-338895-c2wzjbgb 54 5 first first JJ cord-338895-c2wzjbgb 54 6 phase phase NN cord-338895-c2wzjbgb 54 7 , , , cord-338895-c2wzjbgb 54 8 we -PRON- PRP cord-338895-c2wzjbgb 54 9 adopt adopt VBP cord-338895-c2wzjbgb 54 10 a a DT cord-338895-c2wzjbgb 54 11 nonlinear nonlinear JJ cord-338895-c2wzjbgb 54 12 least least RBS cord-338895-c2wzjbgb 54 13 - - HYPH cord-338895-c2wzjbgb 54 14 squares square NNS cord-338895-c2wzjbgb 54 15 technique technique NN cord-338895-c2wzjbgb 54 16 to to TO cord-338895-c2wzjbgb 54 17 determine determine VB cord-338895-c2wzjbgb 54 18 possible possible JJ cord-338895-c2wzjbgb 54 19 candidate candidate NN cord-338895-c2wzjbgb 54 20 heuristic heuristic JJ cord-338895-c2wzjbgb 54 21 models model NNS cord-338895-c2wzjbgb 54 22 for for IN cord-338895-c2wzjbgb 54 23 describing describe VBG cord-338895-c2wzjbgb 54 24 the the DT cord-338895-c2wzjbgb 54 25 data datum NNS cord-338895-c2wzjbgb 54 26 regarding regard VBG cord-338895-c2wzjbgb 54 27 COVID-19 covid-19 CD cord-338895-c2wzjbgb 54 28 infections infection NNS cord-338895-c2wzjbgb 54 29 . . . cord-338895-c2wzjbgb 55 1 In in IN cord-338895-c2wzjbgb 55 2 a a DT cord-338895-c2wzjbgb 55 3 second second JJ cord-338895-c2wzjbgb 55 4 phase phase NN cord-338895-c2wzjbgb 55 5 , , , cord-338895-c2wzjbgb 55 6 we -PRON- PRP cord-338895-c2wzjbgb 55 7 use use VBP cord-338895-c2wzjbgb 55 8 distinct distinct JJ cord-338895-c2wzjbgb 55 9 metrics metric NNS cord-338895-c2wzjbgb 55 10 for for IN cord-338895-c2wzjbgb 55 11 processing process VBG cord-338895-c2wzjbgb 55 12 the the DT cord-338895-c2wzjbgb 55 13 data datum NNS cord-338895-c2wzjbgb 55 14 both both CC cord-338895-c2wzjbgb 55 15 in in IN cord-338895-c2wzjbgb 55 16 the the DT cord-338895-c2wzjbgb 55 17 time time NN cord-338895-c2wzjbgb 55 18 and and CC cord-338895-c2wzjbgb 55 19 frequency frequency NN cord-338895-c2wzjbgb 55 20 domains domain NNS cord-338895-c2wzjbgb 55 21 . . . cord-338895-c2wzjbgb 56 1 The the DT cord-338895-c2wzjbgb 56 2 information information NN cord-338895-c2wzjbgb 56 3 is be VBZ cord-338895-c2wzjbgb 56 4 visualized visualize VBN cord-338895-c2wzjbgb 56 5 using use VBG cord-338895-c2wzjbgb 56 6 hierarchical hierarchical JJ cord-338895-c2wzjbgb 56 7 clustering clustering NN cord-338895-c2wzjbgb 56 8 ( ( -LRB- cord-338895-c2wzjbgb 56 9 HC HC NNP cord-338895-c2wzjbgb 56 10 ) ) -RRB- cord-338895-c2wzjbgb 56 11 and and CC cord-338895-c2wzjbgb 56 12 multidimensional multidimensional JJ cord-338895-c2wzjbgb 56 13 scaling scaling NN cord-338895-c2wzjbgb 56 14 ( ( -LRB- cord-338895-c2wzjbgb 56 15 MDS MDS NNP cord-338895-c2wzjbgb 56 16 ) ) -RRB- cord-338895-c2wzjbgb 56 17 for for IN cord-338895-c2wzjbgb 56 18 comparing compare VBG cord-338895-c2wzjbgb 56 19 the the DT cord-338895-c2wzjbgb 56 20 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 56 21 evolution evolution NN cord-338895-c2wzjbgb 56 22 in in IN cord-338895-c2wzjbgb 56 23 the the DT cord-338895-c2wzjbgb 56 24 different different JJ cord-338895-c2wzjbgb 56 25 countries country NNS cord-338895-c2wzjbgb 56 26 . . . cord-338895-c2wzjbgb 57 1 The the DT cord-338895-c2wzjbgb 57 2 HC HC NNP cord-338895-c2wzjbgb 57 3 and and CC cord-338895-c2wzjbgb 57 4 MDS MDS NNP cord-338895-c2wzjbgb 57 5 generate generate VBP cord-338895-c2wzjbgb 57 6 loci locus NNS cord-338895-c2wzjbgb 57 7 of of IN cord-338895-c2wzjbgb 57 8 Fig Fig NNP cord-338895-c2wzjbgb 57 9 . . . cord-338895-c2wzjbgb 58 1 1 1 LS cord-338895-c2wzjbgb 59 1 Geographic geographic JJ cord-338895-c2wzjbgb 59 2 map map NN cord-338895-c2wzjbgb 59 3 of of IN cord-338895-c2wzjbgb 59 4 the the DT cord-338895-c2wzjbgb 59 5 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 59 6 spread spread NN cord-338895-c2wzjbgb 59 7 for for IN cord-338895-c2wzjbgb 59 8 165 165 CD cord-338895-c2wzjbgb 59 9 countries country NNS cord-338895-c2wzjbgb 59 10 . . . cord-338895-c2wzjbgb 60 1 The the DT cord-338895-c2wzjbgb 60 2 color color NN cord-338895-c2wzjbgb 60 3 map map NN cord-338895-c2wzjbgb 60 4 is be VBZ cord-338895-c2wzjbgb 60 5 proportional proportional JJ cord-338895-c2wzjbgb 60 6 to to IN cord-338895-c2wzjbgb 60 7 the the DT cord-338895-c2wzjbgb 60 8 number number NN cord-338895-c2wzjbgb 60 9 of of IN cord-338895-c2wzjbgb 60 10 days day NNS cord-338895-c2wzjbgb 60 11 elapsed elapse VBN cord-338895-c2wzjbgb 60 12 since since IN cord-338895-c2wzjbgb 60 13 the the DT cord-338895-c2wzjbgb 60 14 occurrence occurrence NN cord-338895-c2wzjbgb 60 15 of of IN cord-338895-c2wzjbgb 60 16 the the DT cord-338895-c2wzjbgb 60 17 first first JJ cord-338895-c2wzjbgb 60 18 case case NN cord-338895-c2wzjbgb 60 19 for for IN cord-338895-c2wzjbgb 60 20 each each DT cord-338895-c2wzjbgb 60 21 country country NN cord-338895-c2wzjbgb 60 22 for for IN cord-338895-c2wzjbgb 60 23 the the DT cord-338895-c2wzjbgb 60 24 period period NN cord-338895-c2wzjbgb 60 25 of of IN cord-338895-c2wzjbgb 60 26 time time NN cord-338895-c2wzjbgb 60 27 τ τ NN cord-338895-c2wzjbgb 60 28 points point VBZ cord-338895-c2wzjbgb 60 29 in in IN cord-338895-c2wzjbgb 60 30 2-and 2-and CD cord-338895-c2wzjbgb 60 31 3-dimensional 3-dimensional CD cord-338895-c2wzjbgb 60 32 spaces space NNS cord-338895-c2wzjbgb 60 33 representing represent VBG cord-338895-c2wzjbgb 60 34 the the DT cord-338895-c2wzjbgb 60 35 number number NN cord-338895-c2wzjbgb 60 36 of of IN cord-338895-c2wzjbgb 60 37 infections infection NNS cord-338895-c2wzjbgb 60 38 for for IN cord-338895-c2wzjbgb 60 39 each each DT cord-338895-c2wzjbgb 60 40 country country NN cord-338895-c2wzjbgb 60 41 . . . cord-338895-c2wzjbgb 61 1 The the DT cord-338895-c2wzjbgb 61 2 positioning positioning NN cord-338895-c2wzjbgb 61 3 and and CC cord-338895-c2wzjbgb 61 4 the the DT cord-338895-c2wzjbgb 61 5 patterns pattern NNS cord-338895-c2wzjbgb 61 6 formed form VBN cord-338895-c2wzjbgb 61 7 by by IN cord-338895-c2wzjbgb 61 8 the the DT cord-338895-c2wzjbgb 61 9 points point NNS cord-338895-c2wzjbgb 61 10 lead lead VBP cord-338895-c2wzjbgb 61 11 to to IN cord-338895-c2wzjbgb 61 12 direct direct JJ cord-338895-c2wzjbgb 61 13 interpretations interpretation NNS cord-338895-c2wzjbgb 61 14 of of IN cord-338895-c2wzjbgb 61 15 the the DT cord-338895-c2wzjbgb 61 16 results result NNS cord-338895-c2wzjbgb 61 17 . . . cord-338895-c2wzjbgb 62 1 The the DT cord-338895-c2wzjbgb 62 2 study study NN cord-338895-c2wzjbgb 62 3 is be VBZ cord-338895-c2wzjbgb 62 4 data data NN cord-338895-c2wzjbgb 62 5 - - HYPH cord-338895-c2wzjbgb 62 6 driven drive VBN cord-338895-c2wzjbgb 62 7 , , , cord-338895-c2wzjbgb 62 8 and and CC cord-338895-c2wzjbgb 62 9 the the DT cord-338895-c2wzjbgb 62 10 models model NNS cord-338895-c2wzjbgb 62 11 are be VBP cord-338895-c2wzjbgb 62 12 applicable applicable JJ cord-338895-c2wzjbgb 62 13 only only RB cord-338895-c2wzjbgb 62 14 at at IN cord-338895-c2wzjbgb 62 15 some some DT cord-338895-c2wzjbgb 62 16 stages stage NNS cord-338895-c2wzjbgb 62 17 of of IN cord-338895-c2wzjbgb 62 18 the the DT cord-338895-c2wzjbgb 62 19 outbreak outbreak NN cord-338895-c2wzjbgb 62 20 and and CC cord-338895-c2wzjbgb 62 21 when when WRB cord-338895-c2wzjbgb 62 22 enough enough JJ cord-338895-c2wzjbgb 62 23 data data NN cord-338895-c2wzjbgb 62 24 points point NNS cord-338895-c2wzjbgb 62 25 are be VBP cord-338895-c2wzjbgb 62 26 available available JJ cord-338895-c2wzjbgb 62 27 . . . cord-338895-c2wzjbgb 63 1 In in IN cord-338895-c2wzjbgb 63 2 this this DT cord-338895-c2wzjbgb 63 3 line line NN cord-338895-c2wzjbgb 63 4 of of IN cord-338895-c2wzjbgb 63 5 thought thought NN cord-338895-c2wzjbgb 63 6 , , , cord-338895-c2wzjbgb 63 7 the the DT cord-338895-c2wzjbgb 63 8 paper paper NN cord-338895-c2wzjbgb 63 9 is be VBZ cord-338895-c2wzjbgb 63 10 organized organize VBN cord-338895-c2wzjbgb 63 11 as as IN cord-338895-c2wzjbgb 63 12 follows follow NNS cord-338895-c2wzjbgb 63 13 . . . cord-338895-c2wzjbgb 64 1 In in IN cord-338895-c2wzjbgb 64 2 Sect Sect NNP cord-338895-c2wzjbgb 64 3 . . . cord-338895-c2wzjbgb 65 1 2 2 LS cord-338895-c2wzjbgb 65 2 we -PRON- PRP cord-338895-c2wzjbgb 65 3 introduce introduce VBP cord-338895-c2wzjbgb 65 4 the the DT cord-338895-c2wzjbgb 65 5 dataset dataset NN cord-338895-c2wzjbgb 65 6 adopted adopt VBN cord-338895-c2wzjbgb 65 7 in in IN cord-338895-c2wzjbgb 65 8 the the DT cord-338895-c2wzjbgb 65 9 follow follow NN cord-338895-c2wzjbgb 65 10 - - HYPH cord-338895-c2wzjbgb 65 11 up up NN cord-338895-c2wzjbgb 65 12 . . . cord-338895-c2wzjbgb 66 1 In in IN cord-338895-c2wzjbgb 66 2 Sect Sect NNP cord-338895-c2wzjbgb 66 3 . . . cord-338895-c2wzjbgb 67 1 3 3 LS cord-338895-c2wzjbgb 67 2 we -PRON- PRP cord-338895-c2wzjbgb 67 3 analyze analyze VBP cord-338895-c2wzjbgb 67 4 the the DT cord-338895-c2wzjbgb 67 5 data datum NNS cord-338895-c2wzjbgb 67 6 by by IN cord-338895-c2wzjbgb 67 7 means mean NNS cord-338895-c2wzjbgb 67 8 of of IN cord-338895-c2wzjbgb 67 9 regression regression NN cord-338895-c2wzjbgb 67 10 modeling modeling NN cord-338895-c2wzjbgb 67 11 . . . cord-338895-c2wzjbgb 68 1 In in IN cord-338895-c2wzjbgb 68 2 Sect Sect NNP cord-338895-c2wzjbgb 68 3 . . . cord-338895-c2wzjbgb 69 1 4 4 LS cord-338895-c2wzjbgb 69 2 we -PRON- PRP cord-338895-c2wzjbgb 69 3 compare compare VBP cord-338895-c2wzjbgb 69 4 and and CC cord-338895-c2wzjbgb 69 5 visualize visualize VBP cord-338895-c2wzjbgb 69 6 the the DT cord-338895-c2wzjbgb 69 7 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 69 8 spreading spread VBG cord-338895-c2wzjbgb 69 9 data datum NNS cord-338895-c2wzjbgb 69 10 in in IN cord-338895-c2wzjbgb 69 11 various various JJ cord-338895-c2wzjbgb 69 12 countries country NNS cord-338895-c2wzjbgb 69 13 . . . cord-338895-c2wzjbgb 70 1 In in IN cord-338895-c2wzjbgb 70 2 Sect Sect NNP cord-338895-c2wzjbgb 70 3 . . . cord-338895-c2wzjbgb 71 1 5 5 LS cord-338895-c2wzjbgb 71 2 , , , cord-338895-c2wzjbgb 71 3 we -PRON- PRP cord-338895-c2wzjbgb 71 4 discuss discuss VBP cord-338895-c2wzjbgb 71 5 the the DT cord-338895-c2wzjbgb 71 6 possibility possibility NN cord-338895-c2wzjbgb 71 7 of of IN cord-338895-c2wzjbgb 71 8 foreseeing foresee VBG cord-338895-c2wzjbgb 71 9 the the DT cord-338895-c2wzjbgb 71 10 future future JJ cord-338895-c2wzjbgb 71 11 evolution evolution NN cord-338895-c2wzjbgb 71 12 . . . cord-338895-c2wzjbgb 72 1 Finally finally RB cord-338895-c2wzjbgb 72 2 , , , cord-338895-c2wzjbgb 72 3 in in IN cord-338895-c2wzjbgb 72 4 Sect Sect NNP cord-338895-c2wzjbgb 72 5 . . . cord-338895-c2wzjbgb 73 1 6 6 LS cord-338895-c2wzjbgb 73 2 we -PRON- PRP cord-338895-c2wzjbgb 73 3 discuss discuss VBP cord-338895-c2wzjbgb 73 4 the the DT cord-338895-c2wzjbgb 73 5 results result NNS cord-338895-c2wzjbgb 73 6 and and CC cord-338895-c2wzjbgb 73 7 summarize summarize VB cord-338895-c2wzjbgb 73 8 the the DT cord-338895-c2wzjbgb 73 9 main main JJ cord-338895-c2wzjbgb 73 10 conclusions conclusion NNS cord-338895-c2wzjbgb 73 11 . . . cord-338895-c2wzjbgb 74 1 The the DT cord-338895-c2wzjbgb 74 2 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 74 3 data datum NNS cord-338895-c2wzjbgb 74 4 are be VBP cord-338895-c2wzjbgb 74 5 made make VBN cord-338895-c2wzjbgb 74 6 available available JJ cord-338895-c2wzjbgb 74 7 by by IN cord-338895-c2wzjbgb 74 8 the the DT cord-338895-c2wzjbgb 74 9 European European NNP cord-338895-c2wzjbgb 74 10 Centre Centre NNP cord-338895-c2wzjbgb 74 11 for for IN cord-338895-c2wzjbgb 74 12 Disease Disease NNP cord-338895-c2wzjbgb 74 13 Prevention Prevention NNP cord-338895-c2wzjbgb 74 14 and and CC cord-338895-c2wzjbgb 74 15 Control Control NNP cord-338895-c2wzjbgb 74 16 ( ( -LRB- cord-338895-c2wzjbgb 74 17 https:// https:// NNP cord-338895-c2wzjbgb 74 18 www.ecdc.europa.eu/en www.ecdc.europa.eu/en NNP cord-338895-c2wzjbgb 74 19 ) ) -RRB- cord-338895-c2wzjbgb 74 20 . . . cord-338895-c2wzjbgb 75 1 The the DT cord-338895-c2wzjbgb 75 2 dataset dataset NN cord-338895-c2wzjbgb 75 3 is be VBZ cord-338895-c2wzjbgb 75 4 provided provide VBN cord-338895-c2wzjbgb 75 5 in in IN cord-338895-c2wzjbgb 75 6 Excel Excel NNP cord-338895-c2wzjbgb 75 7 format format NN cord-338895-c2wzjbgb 75 8 , , , cord-338895-c2wzjbgb 75 9 containing contain VBG cord-338895-c2wzjbgb 75 10 the the DT cord-338895-c2wzjbgb 75 11 number number NN cord-338895-c2wzjbgb 75 12 of of IN cord-338895-c2wzjbgb 75 13 infected infected JJ cord-338895-c2wzjbgb 75 14 and and CC cord-338895-c2wzjbgb 75 15 the the DT cord-338895-c2wzjbgb 75 16 number number NN cord-338895-c2wzjbgb 75 17 of of IN cord-338895-c2wzjbgb 75 18 deaths death NNS cord-338895-c2wzjbgb 75 19 for for IN cord-338895-c2wzjbgb 75 20 each each DT cord-338895-c2wzjbgb 75 21 country country NN cord-338895-c2wzjbgb 75 22 , , , cord-338895-c2wzjbgb 75 23 on on IN cord-338895-c2wzjbgb 75 24 a a DT cord-338895-c2wzjbgb 75 25 daily daily JJ cord-338895-c2wzjbgb 75 26 basis basis NN cord-338895-c2wzjbgb 75 27 . . . cord-338895-c2wzjbgb 76 1 Data datum NNS cord-338895-c2wzjbgb 76 2 for for IN cord-338895-c2wzjbgb 76 3 the the DT cord-338895-c2wzjbgb 76 4 period period NN cord-338895-c2wzjbgb 76 5 from from IN cord-338895-c2wzjbgb 76 6 December December NNP cord-338895-c2wzjbgb 76 7 31 31 CD cord-338895-c2wzjbgb 76 8 , , , cord-338895-c2wzjbgb 76 9 2019 2019 CD cord-338895-c2wzjbgb 76 10 , , , cord-338895-c2wzjbgb 76 11 up up IN cord-338895-c2wzjbgb 76 12 to to IN cord-338895-c2wzjbgb 76 13 April April NNP cord-338895-c2wzjbgb 76 14 12 12 CD cord-338895-c2wzjbgb 76 15 , , , cord-338895-c2wzjbgb 76 16 2020 2020 CD cord-338895-c2wzjbgb 76 17 , , , cord-338895-c2wzjbgb 76 18 were be VBD cord-338895-c2wzjbgb 76 19 collected collect VBN cord-338895-c2wzjbgb 76 20 for for IN cord-338895-c2wzjbgb 76 21 analysis analysis NN cord-338895-c2wzjbgb 76 22 . . . cord-338895-c2wzjbgb 77 1 This this DT cord-338895-c2wzjbgb 77 2 period period NN cord-338895-c2wzjbgb 77 3 of of IN cord-338895-c2wzjbgb 77 4 time time NN cord-338895-c2wzjbgb 77 5 will will MD cord-338895-c2wzjbgb 77 6 be be VB cord-338895-c2wzjbgb 77 7 denoted denote VBN cord-338895-c2wzjbgb 77 8 as as IN cord-338895-c2wzjbgb 77 9 τ τ NN cord-338895-c2wzjbgb 77 10 henceforth henceforth RB cord-338895-c2wzjbgb 77 11 . . . cord-338895-c2wzjbgb 78 1 Figure figure NN cord-338895-c2wzjbgb 78 2 1 1 CD cord-338895-c2wzjbgb 78 3 depicts depict VBZ cord-338895-c2wzjbgb 78 4 a a DT cord-338895-c2wzjbgb 78 5 geographic geographic JJ cord-338895-c2wzjbgb 78 6 map map NN cord-338895-c2wzjbgb 78 7 where where WRB cord-338895-c2wzjbgb 78 8 the the DT cord-338895-c2wzjbgb 78 9 colormap colormap NN cord-338895-c2wzjbgb 78 10 is be VBZ cord-338895-c2wzjbgb 78 11 proportional proportional JJ cord-338895-c2wzjbgb 78 12 to to IN cord-338895-c2wzjbgb 78 13 the the DT cord-338895-c2wzjbgb 78 14 number number NN cord-338895-c2wzjbgb 78 15 of of IN cord-338895-c2wzjbgb 78 16 days day NNS cord-338895-c2wzjbgb 78 17 elapsed elapse VBN cord-338895-c2wzjbgb 78 18 since since IN cord-338895-c2wzjbgb 78 19 the the DT cord-338895-c2wzjbgb 78 20 occurrence occurrence NN cord-338895-c2wzjbgb 78 21 of of IN cord-338895-c2wzjbgb 78 22 the the DT cord-338895-c2wzjbgb 78 23 first first JJ cord-338895-c2wzjbgb 78 24 case case NN cord-338895-c2wzjbgb 78 25 in in IN cord-338895-c2wzjbgb 78 26 each each DT cord-338895-c2wzjbgb 78 27 country country NN cord-338895-c2wzjbgb 78 28 . . . cord-338895-c2wzjbgb 79 1 We -PRON- PRP cord-338895-c2wzjbgb 79 2 verify verify VBP cord-338895-c2wzjbgb 79 3 that that IN cord-338895-c2wzjbgb 79 4 the the DT cord-338895-c2wzjbgb 79 5 COVID-19 covid-19 NN cord-338895-c2wzjbgb 79 6 is be VBZ cord-338895-c2wzjbgb 79 7 particularly particularly RB cord-338895-c2wzjbgb 79 8 severe severe JJ cord-338895-c2wzjbgb 79 9 in in IN cord-338895-c2wzjbgb 79 10 the the DT cord-338895-c2wzjbgb 79 11 northern northern JJ cord-338895-c2wzjbgb 79 12 hemisphere hemisphere NN cord-338895-c2wzjbgb 79 13 and and CC cord-338895-c2wzjbgb 79 14 , , , cord-338895-c2wzjbgb 79 15 thus thus RB cord-338895-c2wzjbgb 79 16 , , , cord-338895-c2wzjbgb 79 17 seems seem VBZ cord-338895-c2wzjbgb 79 18 not not RB cord-338895-c2wzjbgb 79 19 to to TO cord-338895-c2wzjbgb 79 20 follow follow VB cord-338895-c2wzjbgb 79 21 the the DT cord-338895-c2wzjbgb 79 22 same same JJ cord-338895-c2wzjbgb 79 23 pattern pattern NN cord-338895-c2wzjbgb 79 24 of of IN cord-338895-c2wzjbgb 79 25 other other JJ cord-338895-c2wzjbgb 79 26 serious serious JJ cord-338895-c2wzjbgb 79 27 diseases disease NNS cord-338895-c2wzjbgb 79 28 that that WDT cord-338895-c2wzjbgb 79 29 affected affect VBD cord-338895-c2wzjbgb 79 30 mainly mainly RB cord-338895-c2wzjbgb 79 31 the the DT cord-338895-c2wzjbgb 79 32 underdeveloped underdeveloped JJ cord-338895-c2wzjbgb 79 33 countries country NNS cord-338895-c2wzjbgb 79 34 . . . cord-338895-c2wzjbgb 80 1 Therefore therefore RB cord-338895-c2wzjbgb 80 2 , , , cord-338895-c2wzjbgb 80 3 some some DT cord-338895-c2wzjbgb 80 4 possible possible JJ cord-338895-c2wzjbgb 80 5 synchronization synchronization NN cord-338895-c2wzjbgb 80 6 between between IN cord-338895-c2wzjbgb 80 7 countries country NNS cord-338895-c2wzjbgb 80 8 , , , cord-338895-c2wzjbgb 80 9 or or CC cord-338895-c2wzjbgb 80 10 , , , cord-338895-c2wzjbgb 80 11 even even RB cord-338895-c2wzjbgb 80 12 , , , cord-338895-c2wzjbgb 80 13 the the DT cord-338895-c2wzjbgb 80 14 emergence emergence NN cord-338895-c2wzjbgb 80 15 of of IN cord-338895-c2wzjbgb 80 16 new new JJ cord-338895-c2wzjbgb 80 17 waves wave NNS cord-338895-c2wzjbgb 80 18 of of IN cord-338895-c2wzjbgb 80 19 spread spread NN cord-338895-c2wzjbgb 80 20 in in IN cord-338895-c2wzjbgb 80 21 the the DT cord-338895-c2wzjbgb 80 22 future future NN cord-338895-c2wzjbgb 80 23 are be VBP cord-338895-c2wzjbgb 80 24 still still RB cord-338895-c2wzjbgb 80 25 unclear unclear JJ cord-338895-c2wzjbgb 80 26 and and CC cord-338895-c2wzjbgb 80 27 techniques technique NNS cord-338895-c2wzjbgb 80 28 such such JJ cord-338895-c2wzjbgb 80 29 as as IN cord-338895-c2wzjbgb 80 30 the the DT cord-338895-c2wzjbgb 80 31 Kuramoto Kuramoto NNP cord-338895-c2wzjbgb 80 32 model model NN cord-338895-c2wzjbgb 80 33 [ [ -LRB- cord-338895-c2wzjbgb 80 34 28 28 CD cord-338895-c2wzjbgb 80 35 ] ] -RRB- cord-338895-c2wzjbgb 80 36 for for IN cord-338895-c2wzjbgb 80 37 assessing assess VBG cord-338895-c2wzjbgb 80 38 that that DT cord-338895-c2wzjbgb 80 39 hypothesis hypothesis NN cord-338895-c2wzjbgb 80 40 should should MD cord-338895-c2wzjbgb 80 41 be be VB cord-338895-c2wzjbgb 80 42 considered consider VBN cord-338895-c2wzjbgb 80 43 . . . cord-338895-c2wzjbgb 81 1 Let let VB cord-338895-c2wzjbgb 81 2 x x SYM cord-338895-c2wzjbgb 81 3 i i PRP cord-338895-c2wzjbgb 81 4 ( ( -LRB- cord-338895-c2wzjbgb 81 5 t t NN cord-338895-c2wzjbgb 81 6 ) ) -RRB- cord-338895-c2wzjbgb 81 7 denote denote VB cord-338895-c2wzjbgb 81 8 the the DT cord-338895-c2wzjbgb 81 9 time time NN cord-338895-c2wzjbgb 81 10 series series NN cord-338895-c2wzjbgb 81 11 of of IN cord-338895-c2wzjbgb 81 12 confirmed confirm VBN cord-338895-c2wzjbgb 81 13 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 81 14 daily daily JJ cord-338895-c2wzjbgb 81 15 infections infection NNS cord-338895-c2wzjbgb 81 16 for for IN cord-338895-c2wzjbgb 81 17 the the DT cord-338895-c2wzjbgb 81 18 ith ith NNP cord-338895-c2wzjbgb 81 19 country country NN cord-338895-c2wzjbgb 81 20 , , , cord-338895-c2wzjbgb 81 21 i i PRP cord-338895-c2wzjbgb 81 22 = = SYM cord-338895-c2wzjbgb 81 23 1 1 CD cord-338895-c2wzjbgb 81 24 , , , cord-338895-c2wzjbgb 81 25 . . . cord-338895-c2wzjbgb 81 26 . . . cord-338895-c2wzjbgb 81 27 . . . cord-338895-c2wzjbgb 82 1 , , , cord-338895-c2wzjbgb 82 2 M M NNP cord-338895-c2wzjbgb 82 3 , , , cord-338895-c2wzjbgb 82 4 where where WRB cord-338895-c2wzjbgb 82 5 t t NN cord-338895-c2wzjbgb 82 6 = = SYM cord-338895-c2wzjbgb 82 7 1 1 CD cord-338895-c2wzjbgb 82 8 , , , cord-338895-c2wzjbgb 82 9 . . . cord-338895-c2wzjbgb 82 10 . . . cord-338895-c2wzjbgb 82 11 . . . cord-338895-c2wzjbgb 83 1 , , , cord-338895-c2wzjbgb 83 2 T T NNP cord-338895-c2wzjbgb 83 3 represents represent VBZ cord-338895-c2wzjbgb 83 4 time time NN cord-338895-c2wzjbgb 83 5 with with IN cord-338895-c2wzjbgb 83 6 one one CD cord-338895-c2wzjbgb 83 7 day day NN cord-338895-c2wzjbgb 83 8 resolution resolution NN cord-338895-c2wzjbgb 83 9 , , , cord-338895-c2wzjbgb 83 10 within within IN cord-338895-c2wzjbgb 83 11 the the DT cord-338895-c2wzjbgb 83 12 time time NN cord-338895-c2wzjbgb 83 13 interval interval NN cord-338895-c2wzjbgb 83 14 τ τ NN cord-338895-c2wzjbgb 83 15 . . . cord-338895-c2wzjbgb 84 1 Therefore therefore RB cord-338895-c2wzjbgb 84 2 , , , cord-338895-c2wzjbgb 84 3 the the DT cord-338895-c2wzjbgb 84 4 signals signal NNS cord-338895-c2wzjbgb 84 5 x x SYM cord-338895-c2wzjbgb 84 6 i i PRP cord-338895-c2wzjbgb 84 7 ( ( -LRB- cord-338895-c2wzjbgb 84 8 t t NN cord-338895-c2wzjbgb 84 9 ) ) -RRB- cord-338895-c2wzjbgb 84 10 evolve evolve VB cord-338895-c2wzjbgb 84 11 in in IN cord-338895-c2wzjbgb 84 12 discrete discrete JJ cord-338895-c2wzjbgb 84 13 times time NNS cord-338895-c2wzjbgb 84 14 , , , cord-338895-c2wzjbgb 84 15 t t NNP cord-338895-c2wzjbgb 84 16 , , , cord-338895-c2wzjbgb 84 17 and and CC cord-338895-c2wzjbgb 84 18 can can MD cord-338895-c2wzjbgb 84 19 be be VB cord-338895-c2wzjbgb 84 20 interpreted interpret VBN cord-338895-c2wzjbgb 84 21 as as IN cord-338895-c2wzjbgb 84 22 one one CD cord-338895-c2wzjbgb 84 23 manifestation manifestation NN cord-338895-c2wzjbgb 84 24 of of IN cord-338895-c2wzjbgb 84 25 a a DT cord-338895-c2wzjbgb 84 26 complex complex JJ cord-338895-c2wzjbgb 84 27 system system NN cord-338895-c2wzjbgb 84 28 . . . cord-338895-c2wzjbgb 85 1 For for IN cord-338895-c2wzjbgb 85 2 the the DT cord-338895-c2wzjbgb 85 3 sake sake NN cord-338895-c2wzjbgb 85 4 of of IN cord-338895-c2wzjbgb 85 5 statistical statistical JJ cord-338895-c2wzjbgb 85 6 significance significance NN cord-338895-c2wzjbgb 85 7 and and CC cord-338895-c2wzjbgb 85 8 accuracy accuracy NN cord-338895-c2wzjbgb 85 9 of of IN cord-338895-c2wzjbgb 85 10 the the DT cord-338895-c2wzjbgb 85 11 mathematical mathematical JJ cord-338895-c2wzjbgb 85 12 tools tool NNS cord-338895-c2wzjbgb 85 13 used use VBN cord-338895-c2wzjbgb 85 14 for for IN cord-338895-c2wzjbgb 85 15 processing process VBG cord-338895-c2wzjbgb 85 16 the the DT cord-338895-c2wzjbgb 85 17 data datum NNS cord-338895-c2wzjbgb 85 18 , , , cord-338895-c2wzjbgb 85 19 we -PRON- PRP cord-338895-c2wzjbgb 85 20 just just RB cord-338895-c2wzjbgb 85 21 consider consider VBP cord-338895-c2wzjbgb 85 22 the the DT cord-338895-c2wzjbgb 85 23 countries country NNS cord-338895-c2wzjbgb 85 24 with with IN cord-338895-c2wzjbgb 85 25 time time NN cord-338895-c2wzjbgb 85 26 _SP cord-338895-c2wzjbgb 86 1 and and CC cord-338895-c2wzjbgb 86 2 we -PRON- PRP cord-338895-c2wzjbgb 86 3 approximate approximate VBP cord-338895-c2wzjbgb 86 4 the the DT cord-338895-c2wzjbgb 86 5 histogram histogram NN cord-338895-c2wzjbgb 86 6 of of IN cord-338895-c2wzjbgb 86 7 r r NNP cord-338895-c2wzjbgb 86 8 i i NN cord-338895-c2wzjbgb 86 9 ( ( -LRB- cord-338895-c2wzjbgb 86 10 t t NN cord-338895-c2wzjbgb 86 11 ) ) -RRB- cord-338895-c2wzjbgb 86 12 by by IN cord-338895-c2wzjbgb 86 13 a a DT cord-338895-c2wzjbgb 86 14 symmetric symmetric JJ cord-338895-c2wzjbgb 86 15 α α NN cord-338895-c2wzjbgb 86 16 - - HYPH cord-338895-c2wzjbgb 86 17 stable stable JJ cord-338895-c2wzjbgb 86 18 distribution distribution NN cord-338895-c2wzjbgb 86 19 [ [ -LRB- cord-338895-c2wzjbgb 86 20 29 29 CD cord-338895-c2wzjbgb 86 21 ] ] -RRB- cord-338895-c2wzjbgb 86 22 . . . cord-338895-c2wzjbgb 87 1 We -PRON- PRP cord-338895-c2wzjbgb 87 2 recall recall VBP cord-338895-c2wzjbgb 87 3 that that IN cord-338895-c2wzjbgb 87 4 a a DT cord-338895-c2wzjbgb 87 5 probability probability NN cord-338895-c2wzjbgb 87 6 distribution distribution NN cord-338895-c2wzjbgb 87 7 ( ( -LRB- cord-338895-c2wzjbgb 87 8 PD PD NNP cord-338895-c2wzjbgb 87 9 ) ) -RRB- cord-338895-c2wzjbgb 87 10 ( ( -LRB- cord-338895-c2wzjbgb 87 11 and and CC cord-338895-c2wzjbgb 87 12 the the DT cord-338895-c2wzjbgb 87 13 corresponding corresponding JJ cord-338895-c2wzjbgb 87 14 random random JJ cord-338895-c2wzjbgb 87 15 variable variable NN cord-338895-c2wzjbgb 87 16 ξ ξ NNS cord-338895-c2wzjbgb 87 17 ) ) -RRB- cord-338895-c2wzjbgb 87 18 is be VBZ cord-338895-c2wzjbgb 87 19 said say VBN cord-338895-c2wzjbgb 87 20 to to TO cord-338895-c2wzjbgb 87 21 be be VB cord-338895-c2wzjbgb 87 22 ' ' `` cord-338895-c2wzjbgb 87 23 stable stable JJ cord-338895-c2wzjbgb 87 24 ' ' '' cord-338895-c2wzjbgb 87 25 if if IN cord-338895-c2wzjbgb 87 26 a a DT cord-338895-c2wzjbgb 87 27 linear linear JJ cord-338895-c2wzjbgb 87 28 combination combination NN cord-338895-c2wzjbgb 87 29 of of IN cord-338895-c2wzjbgb 87 30 2 2 CD cord-338895-c2wzjbgb 87 31 independent independent JJ cord-338895-c2wzjbgb 87 32 random random JJ cord-338895-c2wzjbgb 87 33 variables variable NNS cord-338895-c2wzjbgb 87 34 with with IN cord-338895-c2wzjbgb 87 35 such such JJ cord-338895-c2wzjbgb 87 36 PD PD NNP cord-338895-c2wzjbgb 87 37 has have VBZ cord-338895-c2wzjbgb 87 38 also also RB cord-338895-c2wzjbgb 87 39 an an DT cord-338895-c2wzjbgb 87 40 identi identi NNP cord-338895-c2wzjbgb 87 41 - - HYPH cord-338895-c2wzjbgb 87 42 cal cal NN cord-338895-c2wzjbgb 87 43 PD PD NNP cord-338895-c2wzjbgb 87 44 , , , cord-338895-c2wzjbgb 87 45 up up IN cord-338895-c2wzjbgb 87 46 to to IN cord-338895-c2wzjbgb 87 47 the the DT cord-338895-c2wzjbgb 87 48 scale scale NN cord-338895-c2wzjbgb 87 49 and and CC cord-338895-c2wzjbgb 87 50 location location NN cord-338895-c2wzjbgb 87 51 parameters parameter NNS cord-338895-c2wzjbgb 87 52 , , , cord-338895-c2wzjbgb 87 53 c c NN cord-338895-c2wzjbgb 87 54 and and CC cord-338895-c2wzjbgb 87 55 μ μ NN cord-338895-c2wzjbgb 87 56 , , , cord-338895-c2wzjbgb 87 57 respectively respectively RB cord-338895-c2wzjbgb 87 58 [ [ -LRB- cord-338895-c2wzjbgb 87 59 29 29 CD cord-338895-c2wzjbgb 87 60 , , , cord-338895-c2wzjbgb 87 61 30 30 CD cord-338895-c2wzjbgb 87 62 ] ] -RRB- cord-338895-c2wzjbgb 87 63 . . . cord-338895-c2wzjbgb 88 1 A a DT cord-338895-c2wzjbgb 88 2 given give VBN cord-338895-c2wzjbgb 88 3 family family NN cord-338895-c2wzjbgb 88 4 of of IN cord-338895-c2wzjbgb 88 5 stable stable JJ cord-338895-c2wzjbgb 88 6 distributions distribution NNS cord-338895-c2wzjbgb 88 7 is be VBZ cord-338895-c2wzjbgb 88 8 often often RB cord-338895-c2wzjbgb 88 9 called call VBN cord-338895-c2wzjbgb 88 10 Lévy Lévy NNP cord-338895-c2wzjbgb 88 11 alpha alpha NN cord-338895-c2wzjbgb 88 12 - - HYPH cord-338895-c2wzjbgb 88 13 stable stable JJ cord-338895-c2wzjbgb 88 14 distribution distribution NN cord-338895-c2wzjbgb 88 15 , , , cord-338895-c2wzjbgb 88 16 after after IN cord-338895-c2wzjbgb 88 17 Paul Paul NNP cord-338895-c2wzjbgb 88 18 Lévy Lévy NNP cord-338895-c2wzjbgb 88 19 [ [ -LRB- cord-338895-c2wzjbgb 88 20 31 31 CD cord-338895-c2wzjbgb 88 21 ] ] -RRB- cord-338895-c2wzjbgb 88 22 . . . cord-338895-c2wzjbgb 89 1 The the DT cord-338895-c2wzjbgb 89 2 Lévy Lévy NNP cord-338895-c2wzjbgb 89 3 , , , cord-338895-c2wzjbgb 89 4 Gaussian Gaussian NNP cord-338895-c2wzjbgb 89 5 and and CC cord-338895-c2wzjbgb 89 6 Cauchy Cauchy NNP cord-338895-c2wzjbgb 89 7 PD PD NNP cord-338895-c2wzjbgb 89 8 of of IN cord-338895-c2wzjbgb 89 9 a a DT cord-338895-c2wzjbgb 89 10 random random JJ cord-338895-c2wzjbgb 89 11 variable variable NN cord-338895-c2wzjbgb 89 12 ξ ξ NNS cord-338895-c2wzjbgb 89 13 are be VBP cord-338895-c2wzjbgb 89 14 particular particular JJ cord-338895-c2wzjbgb 89 15 cases case NNS cord-338895-c2wzjbgb 89 16 of of IN cord-338895-c2wzjbgb 89 17 the the DT cord-338895-c2wzjbgb 89 18 α α NN cord-338895-c2wzjbgb 89 19 - - HYPH cord-338895-c2wzjbgb 89 20 stable stable JJ cord-338895-c2wzjbgb 89 21 distribution distribution NN cord-338895-c2wzjbgb 89 22 family family NN cord-338895-c2wzjbgb 89 23 with with IN cord-338895-c2wzjbgb 89 24 the the DT cord-338895-c2wzjbgb 89 25 parameter parameter NN cord-338895-c2wzjbgb 89 26 value value NN cord-338895-c2wzjbgb 89 27 α α NN cord-338895-c2wzjbgb 89 28 = = SYM cord-338895-c2wzjbgb 89 29 1 1 CD cord-338895-c2wzjbgb 89 30 2 2 CD cord-338895-c2wzjbgb 89 31 , , , cord-338895-c2wzjbgb 89 32 1 1 CD cord-338895-c2wzjbgb 89 33 and and CC cord-338895-c2wzjbgb 89 34 2 2 CD cord-338895-c2wzjbgb 89 35 , , , cord-338895-c2wzjbgb 89 36 respectively respectively RB cord-338895-c2wzjbgb 89 37 [ [ -LRB- cord-338895-c2wzjbgb 89 38 32 32 CD cord-338895-c2wzjbgb 89 39 ] ] -RRB- cord-338895-c2wzjbgb 89 40 . . . cord-338895-c2wzjbgb 90 1 The the DT cord-338895-c2wzjbgb 90 2 α α NN cord-338895-c2wzjbgb 90 3 - - HYPH cord-338895-c2wzjbgb 90 4 stable stable JJ cord-338895-c2wzjbgb 90 5 distribution distribution NN cord-338895-c2wzjbgb 90 6 is be VBZ cord-338895-c2wzjbgb 90 7 a a DT cord-338895-c2wzjbgb 90 8 four four CD cord-338895-c2wzjbgb 90 9 parameter parameter NN cord-338895-c2wzjbgb 90 10 family family NN cord-338895-c2wzjbgb 90 11 of of IN cord-338895-c2wzjbgb 90 12 distributions distribution NNS cord-338895-c2wzjbgb 90 13 and and CC cord-338895-c2wzjbgb 90 14 is be VBZ cord-338895-c2wzjbgb 90 15 ( ( -LRB- cord-338895-c2wzjbgb 90 16 usually usually RB cord-338895-c2wzjbgb 90 17 ) ) -RRB- cord-338895-c2wzjbgb 90 18 denoted denote VBN cord-338895-c2wzjbgb 90 19 by by IN cord-338895-c2wzjbgb 90 20 S(α S(α NNPS cord-338895-c2wzjbgb 90 21 , , , cord-338895-c2wzjbgb 90 22 β β NN cord-338895-c2wzjbgb 90 23 , , , cord-338895-c2wzjbgb 90 24 c c NNP cord-338895-c2wzjbgb 90 25 , , , cord-338895-c2wzjbgb 90 26 μ μ NN cord-338895-c2wzjbgb 90 27 ) ) -RRB- cord-338895-c2wzjbgb 90 28 . . . cord-338895-c2wzjbgb 91 1 The the DT cord-338895-c2wzjbgb 91 2 first first JJ cord-338895-c2wzjbgb 91 3 parameter parameter NN cord-338895-c2wzjbgb 91 4 α α NN cord-338895-c2wzjbgb 91 5 is be VBZ cord-338895-c2wzjbgb 91 6 of of IN cord-338895-c2wzjbgb 91 7 particular particular JJ cord-338895-c2wzjbgb 91 8 relevance relevance NN cord-338895-c2wzjbgb 91 9 and and CC cord-338895-c2wzjbgb 91 10 describes describe VBZ cord-338895-c2wzjbgb 91 11 the the DT cord-338895-c2wzjbgb 91 12 tail tail NN cord-338895-c2wzjbgb 91 13 of of IN cord-338895-c2wzjbgb 91 14 the the DT cord-338895-c2wzjbgb 91 15 distribution distribution NN cord-338895-c2wzjbgb 91 16 . . . cord-338895-c2wzjbgb 92 1 We -PRON- PRP cord-338895-c2wzjbgb 92 2 have have VBP cord-338895-c2wzjbgb 92 3 α α NN cord-338895-c2wzjbgb 92 4 ∈ ∈ NN cord-338895-c2wzjbgb 92 5 ( ( -LRB- cord-338895-c2wzjbgb 92 6 0 0 CD cord-338895-c2wzjbgb 92 7 , , , cord-338895-c2wzjbgb 92 8 2 2 CD cord-338895-c2wzjbgb 92 9 ] ] -RRB- cord-338895-c2wzjbgb 92 10 for for IN cord-338895-c2wzjbgb 92 11 the the DT cord-338895-c2wzjbgb 92 12 stability stability NN cord-338895-c2wzjbgb 92 13 ( ( -LRB- cord-338895-c2wzjbgb 92 14 or or CC cord-338895-c2wzjbgb 92 15 characteristic characteristic JJ cord-338895-c2wzjbgb 92 16 exponent exponent NN cord-338895-c2wzjbgb 92 17 ) ) -RRB- cord-338895-c2wzjbgb 92 18 , , , cord-338895-c2wzjbgb 92 19 β β NN cord-338895-c2wzjbgb 92 20 ∈ ∈ VBP cord-338895-c2wzjbgb 92 21 [ [ -LRB- cord-338895-c2wzjbgb 92 22 −1 −1 NNP cord-338895-c2wzjbgb 92 23 , , , cord-338895-c2wzjbgb 92 24 1 1 CD cord-338895-c2wzjbgb 92 25 ] ] -RRB- cord-338895-c2wzjbgb 92 26 representing represent VBG cord-338895-c2wzjbgb 92 27 the the DT cord-338895-c2wzjbgb 92 28 skewness skewness NN cord-338895-c2wzjbgb 92 29 , , , cord-338895-c2wzjbgb 92 30 c c NN cord-338895-c2wzjbgb 92 31 ∈ ∈ NN cord-338895-c2wzjbgb 92 32 ( ( -LRB- cord-338895-c2wzjbgb 92 33 0 0 NFP cord-338895-c2wzjbgb 92 34 , , , cord-338895-c2wzjbgb 92 35 ∞ ∞ NNP cord-338895-c2wzjbgb 92 36 ) ) -RRB- cord-338895-c2wzjbgb 92 37 standing stand VBG cord-338895-c2wzjbgb 92 38 for for IN cord-338895-c2wzjbgb 92 39 the the DT cord-338895-c2wzjbgb 92 40 scale scale NN cord-338895-c2wzjbgb 92 41 , , , cord-338895-c2wzjbgb 92 42 and and CC cord-338895-c2wzjbgb 92 43 μ μ NN cord-338895-c2wzjbgb 92 44 ∈ ∈ NNP cord-338895-c2wzjbgb 92 45 ( ( -LRB- cord-338895-c2wzjbgb 92 46 −∞ −∞ NNP cord-338895-c2wzjbgb 92 47 , , , cord-338895-c2wzjbgb 92 48 + + CC cord-338895-c2wzjbgb 92 49 ∞ ∞ NNP cord-338895-c2wzjbgb 92 50 ) ) -RRB- cord-338895-c2wzjbgb 92 51 for for IN cord-338895-c2wzjbgb 92 52 location location NN cord-338895-c2wzjbgb 92 53 parameters parameter NNS cord-338895-c2wzjbgb 92 54 . . . cord-338895-c2wzjbgb 93 1 With with IN cord-338895-c2wzjbgb 93 2 exception exception NN cord-338895-c2wzjbgb 93 3 Fig fig NN cord-338895-c2wzjbgb 93 4 . . . cord-338895-c2wzjbgb 94 1 2 2 LS cord-338895-c2wzjbgb 95 1 The the DT cord-338895-c2wzjbgb 95 2 histogram histogram NN cord-338895-c2wzjbgb 95 3 of of IN cord-338895-c2wzjbgb 95 4 the the DT cord-338895-c2wzjbgb 95 5 the the DT cord-338895-c2wzjbgb 95 6 log log NN cord-338895-c2wzjbgb 95 7 returns return NNS cord-338895-c2wzjbgb 95 8 r r NNP cord-338895-c2wzjbgb 95 9 i i NN cord-338895-c2wzjbgb 95 10 , , , cord-338895-c2wzjbgb 95 11 i i PRP cord-338895-c2wzjbgb 95 12 = = SYM cord-338895-c2wzjbgb 95 13 14 14 CD cord-338895-c2wzjbgb 95 14 , , , cord-338895-c2wzjbgb 95 15 and and CC cord-338895-c2wzjbgb 95 16 αstable αstable JJ cord-338895-c2wzjbgb 95 17 approximation approximation NN cord-338895-c2wzjbgb 95 18 , , , cord-338895-c2wzjbgb 95 19 with with IN cord-338895-c2wzjbgb 95 20 tail tail NN cord-338895-c2wzjbgb 95 21 characteristic characteristic JJ cord-338895-c2wzjbgb 95 22 exponent exponent NN cord-338895-c2wzjbgb 95 23 α α NN cord-338895-c2wzjbgb 95 24 = = SYM cord-338895-c2wzjbgb 95 25 0.26 0.26 CD cord-338895-c2wzjbgb 95 26 , , , cord-338895-c2wzjbgb 95 27 for for IN cord-338895-c2wzjbgb 95 28 China China NNP cord-338895-c2wzjbgb 95 29 during during IN cord-338895-c2wzjbgb 95 30 the the DT cord-338895-c2wzjbgb 95 31 period period NN cord-338895-c2wzjbgb 95 32 τ τ NN cord-338895-c2wzjbgb 95 33 of of IN cord-338895-c2wzjbgb 95 34 the the DT cord-338895-c2wzjbgb 95 35 cases case NNS cord-338895-c2wzjbgb 95 36 when when WRB cord-338895-c2wzjbgb 95 37 α α NNP cord-338895-c2wzjbgb 95 38 ≤ ≤ NN cord-338895-c2wzjbgb 95 39 1 1 CD cord-338895-c2wzjbgb 95 40 and and CC cord-338895-c2wzjbgb 95 41 β β NN cord-338895-c2wzjbgb 95 42 = = SYM cord-338895-c2wzjbgb 95 43 ±1 ±1 NNP cord-338895-c2wzjbgb 95 44 , , , cord-338895-c2wzjbgb 95 45 we -PRON- PRP cord-338895-c2wzjbgb 95 46 have have VBP cord-338895-c2wzjbgb 95 47 that that DT cord-338895-c2wzjbgb 95 48 for for IN cord-338895-c2wzjbgb 95 49 α α NN cord-338895-c2wzjbgb 95 50 < < XX cord-338895-c2wzjbgb 95 51 2 2 CD cord-338895-c2wzjbgb 95 52 the the DT cord-338895-c2wzjbgb 95 53 asymptotic asymptotic JJ cord-338895-c2wzjbgb 95 54 behavior behavior NN cord-338895-c2wzjbgb 95 55 is be VBZ cord-338895-c2wzjbgb 95 56 described describe VBN cord-338895-c2wzjbgb 95 57 by by IN cord-338895-c2wzjbgb 95 58 [ [ -LRB- cord-338895-c2wzjbgb 95 59 33 33 CD cord-338895-c2wzjbgb 95 60 , , , cord-338895-c2wzjbgb 95 61 34 34 CD cord-338895-c2wzjbgb 95 62 ] ] -RRB- cord-338895-c2wzjbgb 95 63 : : : cord-338895-c2wzjbgb 95 64 where where WRB cord-338895-c2wzjbgb 95 65 Γ Γ NNP cord-338895-c2wzjbgb 95 66 denotes denote VBZ cord-338895-c2wzjbgb 95 67 the the DT cord-338895-c2wzjbgb 95 68 Gamma Gamma NNP cord-338895-c2wzjbgb 95 69 function function NN cord-338895-c2wzjbgb 95 70 . . . cord-338895-c2wzjbgb 96 1 We -PRON- PRP cord-338895-c2wzjbgb 96 2 verify verify VBP cord-338895-c2wzjbgb 96 3 the the DT cord-338895-c2wzjbgb 96 4 presence presence NN cord-338895-c2wzjbgb 96 5 of of IN cord-338895-c2wzjbgb 96 6 the the DT cord-338895-c2wzjbgb 96 7 so so RB cord-338895-c2wzjbgb 96 8 - - HYPH cord-338895-c2wzjbgb 96 9 called call VBN cord-338895-c2wzjbgb 96 10 heavy heavy JJ cord-338895-c2wzjbgb 96 11 or or CC cord-338895-c2wzjbgb 96 12 fat fat JJ cord-338895-c2wzjbgb 96 13 tails tail NNS cord-338895-c2wzjbgb 96 14 that that WDT cord-338895-c2wzjbgb 96 15 cause cause VBP cord-338895-c2wzjbgb 96 16 the the DT cord-338895-c2wzjbgb 96 17 variance variance NN cord-338895-c2wzjbgb 96 18 to to TO cord-338895-c2wzjbgb 96 19 be be VB cord-338895-c2wzjbgb 96 20 infinite infinite JJ cord-338895-c2wzjbgb 96 21 for for IN cord-338895-c2wzjbgb 96 22 α α NN cord-338895-c2wzjbgb 96 23 < < XX cord-338895-c2wzjbgb 96 24 2 2 CD cord-338895-c2wzjbgb 96 25 . . . cord-338895-c2wzjbgb 97 1 Figure figure NN cord-338895-c2wzjbgb 97 2 2 2 CD cord-338895-c2wzjbgb 97 3 depicts depict VBZ cord-338895-c2wzjbgb 97 4 the the DT cord-338895-c2wzjbgb 97 5 histogram histogram NN cord-338895-c2wzjbgb 97 6 and and CC cord-338895-c2wzjbgb 97 7 the the DT cord-338895-c2wzjbgb 97 8 α α NN cord-338895-c2wzjbgb 97 9 - - HYPH cord-338895-c2wzjbgb 97 10 stable stable JJ cord-338895-c2wzjbgb 97 11 approximation approximation NN cord-338895-c2wzjbgb 97 12 for for IN cord-338895-c2wzjbgb 97 13 China China NNP cord-338895-c2wzjbgb 97 14 , , , cord-338895-c2wzjbgb 97 15 r r NNP cord-338895-c2wzjbgb 97 16 14 14 CD cord-338895-c2wzjbgb 97 17 , , , cord-338895-c2wzjbgb 97 18 in in IN cord-338895-c2wzjbgb 97 19 the the DT cord-338895-c2wzjbgb 97 20 period period NN cord-338895-c2wzjbgb 97 21 τ τ NN cord-338895-c2wzjbgb 97 22 . . . cord-338895-c2wzjbgb 98 1 Twelve twelve CD cord-338895-c2wzjbgb 98 2 bins bin NNS cord-338895-c2wzjbgb 98 3 were be VBD cord-338895-c2wzjbgb 98 4 considered consider VBN cord-338895-c2wzjbgb 98 5 for for IN cord-338895-c2wzjbgb 98 6 having have VBG cord-338895-c2wzjbgb 98 7 statistical statistical JJ cord-338895-c2wzjbgb 98 8 significance significance NN cord-338895-c2wzjbgb 98 9 . . . cord-338895-c2wzjbgb 99 1 In in IN cord-338895-c2wzjbgb 99 2 this this DT cord-338895-c2wzjbgb 99 3 case case NN cord-338895-c2wzjbgb 99 4 , , , cord-338895-c2wzjbgb 99 5 we -PRON- PRP cord-338895-c2wzjbgb 99 6 have have VBP cord-338895-c2wzjbgb 99 7 approximately approximately RB cord-338895-c2wzjbgb 99 8 f f XX cord-338895-c2wzjbgb 99 9 ( ( -LRB- cord-338895-c2wzjbgb 99 10 r r NN cord-338895-c2wzjbgb 99 11 ) ) -RRB- cord-338895-c2wzjbgb 99 12 ∼ ∼ NNP cord-338895-c2wzjbgb 99 13 1/|r 1/|r CD cord-338895-c2wzjbgb 99 14 | | CD cord-338895-c2wzjbgb 99 15 1.26 1.26 CD cord-338895-c2wzjbgb 99 16 , , , cord-338895-c2wzjbgb 100 1 that that DT cord-338895-c2wzjbgb 100 2 is is RB cord-338895-c2wzjbgb 100 3 , , , cord-338895-c2wzjbgb 100 4 α α NN cord-338895-c2wzjbgb 100 5 = = SYM cord-338895-c2wzjbgb 100 6 0.26 0.26 CD cord-338895-c2wzjbgb 100 7 corresponding correspond VBG cord-338895-c2wzjbgb 100 8 to to IN cord-338895-c2wzjbgb 100 9 an an DT cord-338895-c2wzjbgb 100 10 extremely extremely RB cord-338895-c2wzjbgb 100 11 small small JJ cord-338895-c2wzjbgb 100 12 value value NN cord-338895-c2wzjbgb 100 13 , , , cord-338895-c2wzjbgb 100 14 which which WDT cord-338895-c2wzjbgb 100 15 entails entail VBZ cord-338895-c2wzjbgb 100 16 a a DT cord-338895-c2wzjbgb 100 17 huge huge JJ cord-338895-c2wzjbgb 100 18 probability probability NN cord-338895-c2wzjbgb 100 19 for for IN cord-338895-c2wzjbgb 100 20 extreme extreme JJ cord-338895-c2wzjbgb 100 21 values value NNS cord-338895-c2wzjbgb 100 22 of of IN cord-338895-c2wzjbgb 100 23 the the DT cord-338895-c2wzjbgb 100 24 return return NN cord-338895-c2wzjbgb 100 25 . . . cord-338895-c2wzjbgb 101 1 The the DT cord-338895-c2wzjbgb 101 2 alternative alternative NN cord-338895-c2wzjbgb 101 3 of of IN cord-338895-c2wzjbgb 101 4 an an DT cord-338895-c2wzjbgb 101 5 asymmetrical asymmetrical JJ cord-338895-c2wzjbgb 101 6 PD PD NNP cord-338895-c2wzjbgb 101 7 was be VBD cord-338895-c2wzjbgb 101 8 tested test VBN cord-338895-c2wzjbgb 101 9 , , , cord-338895-c2wzjbgb 101 10 but but CC cord-338895-c2wzjbgb 101 11 the the DT cord-338895-c2wzjbgb 101 12 resulting result VBG cord-338895-c2wzjbgb 101 13 improvement improvement NN cord-338895-c2wzjbgb 101 14 was be VBD cord-338895-c2wzjbgb 101 15 minor minor JJ cord-338895-c2wzjbgb 101 16 and and CC cord-338895-c2wzjbgb 101 17 by by IN cord-338895-c2wzjbgb 101 18 consequence consequence NN cord-338895-c2wzjbgb 101 19 merely merely RB cord-338895-c2wzjbgb 101 20 the the DT cord-338895-c2wzjbgb 101 21 symmetrical symmetrical JJ cord-338895-c2wzjbgb 101 22 version version NN cord-338895-c2wzjbgb 101 23 is be VBZ cord-338895-c2wzjbgb 101 24 depicted depict VBN cord-338895-c2wzjbgb 101 25 for for IN cord-338895-c2wzjbgb 101 26 the the DT cord-338895-c2wzjbgb 101 27 sake sake NN cord-338895-c2wzjbgb 101 28 of of IN cord-338895-c2wzjbgb 101 29 simplifying simplify VBG cord-338895-c2wzjbgb 101 30 . . . cord-338895-c2wzjbgb 102 1 Let let VB cord-338895-c2wzjbgb 102 2 y y NNP cord-338895-c2wzjbgb 102 3 i i PRP cord-338895-c2wzjbgb 102 4 ( ( -LRB- cord-338895-c2wzjbgb 102 5 t t NN cord-338895-c2wzjbgb 102 6 ) ) -RRB- cord-338895-c2wzjbgb 102 7 represent represent VB cord-338895-c2wzjbgb 102 8 the the DT cord-338895-c2wzjbgb 102 9 time time NN cord-338895-c2wzjbgb 102 10 series series NN cord-338895-c2wzjbgb 102 11 of of IN cord-338895-c2wzjbgb 102 12 cumulative cumulative JJ cord-338895-c2wzjbgb 102 13 number number NN cord-338895-c2wzjbgb 102 14 of of IN cord-338895-c2wzjbgb 102 15 infections infection NNS cord-338895-c2wzjbgb 102 16 of of IN cord-338895-c2wzjbgb 102 17 x x NN cord-338895-c2wzjbgb 102 18 i i PRP cord-338895-c2wzjbgb 102 19 ( ( -LRB- cord-338895-c2wzjbgb 102 20 t t NN cord-338895-c2wzjbgb 102 21 ) ) -RRB- cord-338895-c2wzjbgb 102 22 , , , cord-338895-c2wzjbgb 102 23 that that DT cord-338895-c2wzjbgb 102 24 is is RB cord-338895-c2wzjbgb 102 25 y y NNP cord-338895-c2wzjbgb 102 26 i i CD cord-338895-c2wzjbgb 102 27 ( ( -LRB- cord-338895-c2wzjbgb 102 28 t t NN cord-338895-c2wzjbgb 102 29 ) ) -RRB- cord-338895-c2wzjbgb 102 30 = = NFP cord-338895-c2wzjbgb 103 1 t t NNP cord-338895-c2wzjbgb 103 2 n=1 n=1 CC cord-338895-c2wzjbgb 104 1 x x LS cord-338895-c2wzjbgb 104 2 i i PRP cord-338895-c2wzjbgb 104 3 ( ( -LRB- cord-338895-c2wzjbgb 104 4 n n NN cord-338895-c2wzjbgb 104 5 ) ) -RRB- cord-338895-c2wzjbgb 104 6 . . . cord-338895-c2wzjbgb 105 1 We -PRON- PRP cord-338895-c2wzjbgb 105 2 adopt adopt VBP cord-338895-c2wzjbgb 105 3 the the DT cord-338895-c2wzjbgb 105 4 nonlinear nonlinear JJ cord-338895-c2wzjbgb 105 5 least least JJS cord-338895-c2wzjbgb 105 6 - - HYPH cord-338895-c2wzjbgb 105 7 squares square NNS cord-338895-c2wzjbgb 105 8 [ [ -LRB- cord-338895-c2wzjbgb 105 9 35 35 CD cord-338895-c2wzjbgb 105 10 , , , cord-338895-c2wzjbgb 105 11 36 36 CD cord-338895-c2wzjbgb 105 12 ] ] -RRB- cord-338895-c2wzjbgb 105 13 to to TO cord-338895-c2wzjbgb 105 14 examine examine VB cord-338895-c2wzjbgb 105 15 the the DT cord-338895-c2wzjbgb 105 16 behavior behavior NN cord-338895-c2wzjbgb 105 17 of of IN cord-338895-c2wzjbgb 105 18 y y NNP cord-338895-c2wzjbgb 105 19 i i NNP cord-338895-c2wzjbgb 105 20 ( ( -LRB- cord-338895-c2wzjbgb 105 21 t t NN cord-338895-c2wzjbgb 105 22 ) ) -RRB- cord-338895-c2wzjbgb 105 23 for for IN cord-338895-c2wzjbgb 105 24 a a DT cord-338895-c2wzjbgb 105 25 variety variety NN cord-338895-c2wzjbgb 105 26 of of IN cord-338895-c2wzjbgb 105 27 functions function NNS cord-338895-c2wzjbgb 105 28 . . . cord-338895-c2wzjbgb 106 1 We -PRON- PRP cord-338895-c2wzjbgb 106 2 selected select VBD cord-338895-c2wzjbgb 106 3 the the DT cord-338895-c2wzjbgb 106 4 ' ' `` cord-338895-c2wzjbgb 106 5 Logistic Logistic NNP cord-338895-c2wzjbgb 106 6 ' ' '' cord-338895-c2wzjbgb 106 7 and and CC cord-338895-c2wzjbgb 106 8 ' ' `` cord-338895-c2wzjbgb 106 9 Richards Richards NNP cord-338895-c2wzjbgb 106 10 ' ' POS cord-338895-c2wzjbgb 106 11 models model NNS cord-338895-c2wzjbgb 106 12 : : : cord-338895-c2wzjbgb 106 13 for for IN cord-338895-c2wzjbgb 106 14 approximating approximate VBG cord-338895-c2wzjbgb 106 15 the the DT cord-338895-c2wzjbgb 106 16 data datum NNS cord-338895-c2wzjbgb 106 17 of of IN cord-338895-c2wzjbgb 106 18 China China NNP cord-338895-c2wzjbgb 106 19 ( ( -LRB- cord-338895-c2wzjbgb 106 20 i i NN cord-338895-c2wzjbgb 106 21 = = NNP cord-338895-c2wzjbgb 106 22 14 14 CD cord-338895-c2wzjbgb 106 23 ) ) -RRB- cord-338895-c2wzjbgb 106 24 and and CC cord-338895-c2wzjbgb 106 25 Italy Italy NNP cord-338895-c2wzjbgb 106 26 ( ( -LRB- cord-338895-c2wzjbgb 106 27 i i NN cord-338895-c2wzjbgb 106 28 = = SYM cord-338895-c2wzjbgb 106 29 36 36 CD cord-338895-c2wzjbgb 106 30 ) ) -RRB- cord-338895-c2wzjbgb 106 31 , , , cord-338895-c2wzjbgb 106 32 respectively respectively RB cord-338895-c2wzjbgb 106 33 , , , cord-338895-c2wzjbgb 106 34 where where WRB cord-338895-c2wzjbgb 106 35 a a DT cord-338895-c2wzjbgb 106 36 , , , cord-338895-c2wzjbgb 106 37 b b NN cord-338895-c2wzjbgb 106 38 , , , cord-338895-c2wzjbgb 106 39 c c NNP cord-338895-c2wzjbgb 106 40 , , , cord-338895-c2wzjbgb 106 41 d d NN cord-338895-c2wzjbgb 106 42 ∈ ∈ NN cord-338895-c2wzjbgb 106 43 R r NN cord-338895-c2wzjbgb 106 44 are be VBP cord-338895-c2wzjbgb 106 45 parameters parameter NNS cord-338895-c2wzjbgb 106 46 adjusted adjust VBN cord-338895-c2wzjbgb 106 47 by by IN cord-338895-c2wzjbgb 106 48 means mean NNS cord-338895-c2wzjbgb 106 49 of of IN cord-338895-c2wzjbgb 106 50 a a DT cord-338895-c2wzjbgb 106 51 nonlinear nonlinear JJ cord-338895-c2wzjbgb 106 52 least least JJS cord-338895-c2wzjbgb 106 53 square square JJ cord-338895-c2wzjbgb 106 54 fit fit JJ cord-338895-c2wzjbgb 106 55 numerical numerical JJ cord-338895-c2wzjbgb 106 56 algorithm algorithm NN cord-338895-c2wzjbgb 106 57 . . . cord-338895-c2wzjbgb 107 1 These these DT cord-338895-c2wzjbgb 107 2 models model NNS cord-338895-c2wzjbgb 107 3 were be VBD cord-338895-c2wzjbgb 107 4 selected select VBN cord-338895-c2wzjbgb 107 5 from from IN cord-338895-c2wzjbgb 107 6 a a DT cord-338895-c2wzjbgb 107 7 large large JJ cord-338895-c2wzjbgb 107 8 number number NN cord-338895-c2wzjbgb 107 9 of of IN cord-338895-c2wzjbgb 107 10 heuristic heuristic JJ cord-338895-c2wzjbgb 107 11 functions function NNS cord-338895-c2wzjbgb 107 12 simply simply RB cord-338895-c2wzjbgb 107 13 because because IN cord-338895-c2wzjbgb 107 14 they -PRON- PRP cord-338895-c2wzjbgb 107 15 ( ( -LRB- cord-338895-c2wzjbgb 107 16 i i NN cord-338895-c2wzjbgb 107 17 ) ) -RRB- cord-338895-c2wzjbgb 107 18 adjust adjust VBP cord-338895-c2wzjbgb 107 19 adequately adequately RB cord-338895-c2wzjbgb 107 20 to to IN cord-338895-c2wzjbgb 107 21 real real JJ cord-338895-c2wzjbgb 107 22 data datum NNS cord-338895-c2wzjbgb 107 23 , , , cord-338895-c2wzjbgb 107 24 and and CC cord-338895-c2wzjbgb 107 25 ( ( -LRB- cord-338895-c2wzjbgb 107 26 ii ii NN cord-338895-c2wzjbgb 107 27 ) ) -RRB- cord-338895-c2wzjbgb 107 28 involve involve VBP cord-338895-c2wzjbgb 107 29 a a DT cord-338895-c2wzjbgb 107 30 limited limited JJ cord-338895-c2wzjbgb 107 31 number number NN cord-338895-c2wzjbgb 107 32 of of IN cord-338895-c2wzjbgb 107 33 parameters parameter NNS cord-338895-c2wzjbgb 107 34 . . . cord-338895-c2wzjbgb 108 1 Therefore therefore RB cord-338895-c2wzjbgb 108 2 , , , cord-338895-c2wzjbgb 108 3 no no DT cord-338895-c2wzjbgb 108 4 special special JJ cord-338895-c2wzjbgb 108 5 biological biological JJ cord-338895-c2wzjbgb 108 6 meaning meaning NN cord-338895-c2wzjbgb 108 7 was be VBD cord-338895-c2wzjbgb 108 8 intended intend VBN cord-338895-c2wzjbgb 108 9 when when WRB cord-338895-c2wzjbgb 108 10 using use VBG cord-338895-c2wzjbgb 108 11 such such JJ cord-338895-c2wzjbgb 108 12 functions function NNS cord-338895-c2wzjbgb 108 13 . . . cord-338895-c2wzjbgb 109 1 Figure figure NN cord-338895-c2wzjbgb 109 2 3 3 CD cord-338895-c2wzjbgb 109 3 illustrates illustrate VBZ cord-338895-c2wzjbgb 109 4 the the DT cord-338895-c2wzjbgb 109 5 data data NN cord-338895-c2wzjbgb 109 6 time time NN cord-338895-c2wzjbgb 109 7 series series NNP cord-338895-c2wzjbgb 109 8 , , , cord-338895-c2wzjbgb 109 9 y y NNP cord-338895-c2wzjbgb 109 10 14 14 CD cord-338895-c2wzjbgb 109 11 ( ( -LRB- cord-338895-c2wzjbgb 109 12 t t NNP cord-338895-c2wzjbgb 109 13 ) ) -RRB- cord-338895-c2wzjbgb 109 14 and and CC cord-338895-c2wzjbgb 109 15 y y NNP cord-338895-c2wzjbgb 109 16 36 36 CD cord-338895-c2wzjbgb 109 17 ( ( -LRB- cord-338895-c2wzjbgb 109 18 t t NNP cord-338895-c2wzjbgb 109 19 ) ) -RRB- cord-338895-c2wzjbgb 109 20 and and CC cord-338895-c2wzjbgb 109 21 the the DT cord-338895-c2wzjbgb 109 22 corresponding correspond VBG cord-338895-c2wzjbgb 109 23 approximationsŷ approximationsŷ NN cord-338895-c2wzjbgb 109 24 14 14 CD cord-338895-c2wzjbgb 109 25 _SP cord-338895-c2wzjbgb 110 1 We -PRON- PRP cord-338895-c2wzjbgb 110 2 verify verify VBP cord-338895-c2wzjbgb 110 3 a a DT cord-338895-c2wzjbgb 110 4 good good JJ cord-338895-c2wzjbgb 110 5 fit fit NN cord-338895-c2wzjbgb 110 6 in in IN cord-338895-c2wzjbgb 110 7 both both DT cord-338895-c2wzjbgb 110 8 cases case NNS cord-338895-c2wzjbgb 110 9 , , , cord-338895-c2wzjbgb 110 10 with with IN cord-338895-c2wzjbgb 110 11 coefficient coefficient NN cord-338895-c2wzjbgb 110 12 of of IN cord-338895-c2wzjbgb 110 13 determination determination NN cord-338895-c2wzjbgb 110 14 R r NN cord-338895-c2wzjbgb 110 15 2 2 CD cord-338895-c2wzjbgb 110 16 = = SYM cord-338895-c2wzjbgb 110 17 0.99 0.99 CD cord-338895-c2wzjbgb 110 18 , , , cord-338895-c2wzjbgb 110 19 but but CC cord-338895-c2wzjbgb 110 20 a a DT cord-338895-c2wzjbgb 110 21 single single JJ cord-338895-c2wzjbgb 110 22 model model NN cord-338895-c2wzjbgb 110 23 with with IN cord-338895-c2wzjbgb 110 24 limited limited JJ cord-338895-c2wzjbgb 110 25 number number NN cord-338895-c2wzjbgb 110 26 of of IN cord-338895-c2wzjbgb 110 27 parameters parameter NNS cord-338895-c2wzjbgb 110 28 is be VBZ cord-338895-c2wzjbgb 110 29 not not RB cord-338895-c2wzjbgb 110 30 able able JJ cord-338895-c2wzjbgb 110 31 to to TO cord-338895-c2wzjbgb 110 32 fit fit VB cord-338895-c2wzjbgb 110 33 well well RB cord-338895-c2wzjbgb 110 34 the the DT cord-338895-c2wzjbgb 110 35 time time NN cord-338895-c2wzjbgb 110 36 seriesŷ seriesŷ NNP cord-338895-c2wzjbgb 110 37 i i PRP cord-338895-c2wzjbgb 110 38 ( ( -LRB- cord-338895-c2wzjbgb 110 39 t t NN cord-338895-c2wzjbgb 110 40 ) ) -RRB- cord-338895-c2wzjbgb 110 41 for for IN cord-338895-c2wzjbgb 110 42 all all DT cord-338895-c2wzjbgb 110 43 countries country NNS cord-338895-c2wzjbgb 110 44 . . . cord-338895-c2wzjbgb 111 1 Obviously obviously RB cord-338895-c2wzjbgb 111 2 , , , cord-338895-c2wzjbgb 111 3 we -PRON- PRP cord-338895-c2wzjbgb 111 4 can can MD cord-338895-c2wzjbgb 111 5 adopt adopt VB cord-338895-c2wzjbgb 111 6 other other JJ cord-338895-c2wzjbgb 111 7 models model NNS cord-338895-c2wzjbgb 111 8 involving involve VBG cord-338895-c2wzjbgb 111 9 a a DT cord-338895-c2wzjbgb 111 10 larger large JJR cord-338895-c2wzjbgb 111 11 number number NN cord-338895-c2wzjbgb 111 12 of of IN cord-338895-c2wzjbgb 111 13 parameters parameter NNS cord-338895-c2wzjbgb 111 14 for for IN cord-338895-c2wzjbgb 111 15 achieving achieve VBG cord-338895-c2wzjbgb 111 16 a a DT cord-338895-c2wzjbgb 111 17 better well RBR cord-338895-c2wzjbgb 111 18 fitting fitting NN cord-338895-c2wzjbgb 111 19 to to IN cord-338895-c2wzjbgb 111 20 a a DT cord-338895-c2wzjbgb 111 21 givenŷ givenŷ NN cord-338895-c2wzjbgb 112 1 i i PRP cord-338895-c2wzjbgb 112 2 ( ( -LRB- cord-338895-c2wzjbgb 112 3 t t NN cord-338895-c2wzjbgb 112 4 ) ) -RRB- cord-338895-c2wzjbgb 112 5 . . . cord-338895-c2wzjbgb 113 1 Nonetheless nonetheless RB cord-338895-c2wzjbgb 113 2 , , , cord-338895-c2wzjbgb 113 3 only only RB cord-338895-c2wzjbgb 113 4 analytical analytical JJ cord-338895-c2wzjbgb 113 5 expressions expression NNS cord-338895-c2wzjbgb 113 6 requiring require VBG cord-338895-c2wzjbgb 113 7 a a DT cord-338895-c2wzjbgb 113 8 limited limited JJ cord-338895-c2wzjbgb 113 9 set set NN cord-338895-c2wzjbgb 113 10 of of IN cord-338895-c2wzjbgb 113 11 parameters parameter NNS cord-338895-c2wzjbgb 113 12 are be VBP cord-338895-c2wzjbgb 113 13 of of IN cord-338895-c2wzjbgb 113 14 relevance relevance NN cord-338895-c2wzjbgb 113 15 [ [ -LRB- cord-338895-c2wzjbgb 113 16 37 37 CD cord-338895-c2wzjbgb 113 17 ] ] -RRB- cord-338895-c2wzjbgb 113 18 ; ; : cord-338895-c2wzjbgb 113 19 otherwise otherwise RB cord-338895-c2wzjbgb 113 20 , , , cord-338895-c2wzjbgb 113 21 their -PRON- PRP$ cord-338895-c2wzjbgb 113 22 comparison comparison NN cord-338895-c2wzjbgb 113 23 and and CC cord-338895-c2wzjbgb 113 24 interpretation interpretation NN cord-338895-c2wzjbgb 113 25 becomes become VBZ cord-338895-c2wzjbgb 113 26 unclear unclear JJ cord-338895-c2wzjbgb 113 27 . . . cord-338895-c2wzjbgb 114 1 On on IN cord-338895-c2wzjbgb 114 2 the the DT cord-338895-c2wzjbgb 114 3 other other JJ cord-338895-c2wzjbgb 114 4 hand hand NN cord-338895-c2wzjbgb 114 5 , , , cord-338895-c2wzjbgb 114 6 the the DT cord-338895-c2wzjbgb 114 7 use use NN cord-338895-c2wzjbgb 114 8 of of IN cord-338895-c2wzjbgb 114 9 distinct distinct JJ cord-338895-c2wzjbgb 114 10 models model NNS cord-338895-c2wzjbgb 114 11 for for IN cord-338895-c2wzjbgb 114 12 different different JJ cord-338895-c2wzjbgb 114 13 countries country NNS cord-338895-c2wzjbgb 114 14 lack lack VBP cord-338895-c2wzjbgb 114 15 generality generality NN cord-338895-c2wzjbgb 114 16 when when WRB cord-338895-c2wzjbgb 114 17 comparing compare VBG cord-338895-c2wzjbgb 114 18 results result NNS cord-338895-c2wzjbgb 114 19 . . . cord-338895-c2wzjbgb 115 1 We -PRON- PRP cord-338895-c2wzjbgb 115 2 now now RB cord-338895-c2wzjbgb 115 3 analyze analyze VBP cord-338895-c2wzjbgb 115 4 the the DT cord-338895-c2wzjbgb 115 5 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 115 6 spreading spread VBG cord-338895-c2wzjbgb 115 7 data datum NNS cord-338895-c2wzjbgb 115 8 of of IN cord-338895-c2wzjbgb 115 9 M M NNP cord-338895-c2wzjbgb 115 10 = = SYM cord-338895-c2wzjbgb 115 11 79 79 CD cord-338895-c2wzjbgb 115 12 countries country NNS cord-338895-c2wzjbgb 115 13 both both DT cord-338895-c2wzjbgb 115 14 in in IN cord-338895-c2wzjbgb 115 15 the the DT cord-338895-c2wzjbgb 115 16 time time NN cord-338895-c2wzjbgb 115 17 and and CC cord-338895-c2wzjbgb 115 18 frequency frequency NN cord-338895-c2wzjbgb 115 19 domains domain NNS cord-338895-c2wzjbgb 115 20 . . . cord-338895-c2wzjbgb 116 1 In in IN cord-338895-c2wzjbgb 116 2 the the DT cord-338895-c2wzjbgb 116 3 time time NN cord-338895-c2wzjbgb 116 4 domain domain NN cord-338895-c2wzjbgb 116 5 , , , cord-338895-c2wzjbgb 116 6 we -PRON- PRP cord-338895-c2wzjbgb 116 7 compare compare VBP cord-338895-c2wzjbgb 116 8 the the DT cord-338895-c2wzjbgb 116 9 pair pair NN cord-338895-c2wzjbgb 116 10 ( ( -LRB- cord-338895-c2wzjbgb 116 11 i i PRP cord-338895-c2wzjbgb 116 12 , , , cord-338895-c2wzjbgb 116 13 j j NNP cord-338895-c2wzjbgb 116 14 ) ) -RRB- cord-338895-c2wzjbgb 116 15 of of IN cord-338895-c2wzjbgb 116 16 countries country NNS cord-338895-c2wzjbgb 116 17 by by IN cord-338895-c2wzjbgb 116 18 the the DT cord-338895-c2wzjbgb 116 19 corresponding corresponding JJ cord-338895-c2wzjbgb 116 20 time time NN cord-338895-c2wzjbgb 116 21 series series NN cord-338895-c2wzjbgb 116 22 of of IN cord-338895-c2wzjbgb 116 23 the the DT cord-338895-c2wzjbgb 116 24 cumulative cumulative NN cord-338895-c2wzjbgb 116 25 In in IN cord-338895-c2wzjbgb 116 26 the the DT cord-338895-c2wzjbgb 116 27 frequency frequency NN cord-338895-c2wzjbgb 116 28 domain domain NN cord-338895-c2wzjbgb 116 29 , , , cord-338895-c2wzjbgb 116 30 the the DT cord-338895-c2wzjbgb 116 31 pairs pair NNS cord-338895-c2wzjbgb 116 32 of of IN cord-338895-c2wzjbgb 116 33 countries country NNS cord-338895-c2wzjbgb 116 34 are be VBP cord-338895-c2wzjbgb 116 35 compared compare VBN cord-338895-c2wzjbgb 116 36 by by IN cord-338895-c2wzjbgb 116 37 the the DT cord-338895-c2wzjbgb 116 38 daily daily JJ cord-338895-c2wzjbgb 116 39 number number NN cord-338895-c2wzjbgb 116 40 of of IN cord-338895-c2wzjbgb 116 41 infec- infec- NN cord-338895-c2wzjbgb 116 42 . . . cord-338895-c2wzjbgb 117 1 . . . cord-338895-c2wzjbgb 118 1 , , , cord-338895-c2wzjbgb 118 2 ω ω NN cord-338895-c2wzjbgb 118 3 K K NNP cord-338895-c2wzjbgb 118 4 , , , cord-338895-c2wzjbgb 118 5 F F NNP cord-338895-c2wzjbgb 118 6 { { -LRB- cord-338895-c2wzjbgb 118 7 · · NFP cord-338895-c2wzjbgb 118 8 } } -RRB- cord-338895-c2wzjbgb 118 9 denotes denote VBZ cord-338895-c2wzjbgb 118 10 the the DT cord-338895-c2wzjbgb 118 11 Fourier Fourier NNP cord-338895-c2wzjbgb 118 12 transform transform NN cord-338895-c2wzjbgb 118 13 , , , cord-338895-c2wzjbgb 118 14 ω ω NNP cord-338895-c2wzjbgb 118 15 represents represent VBZ cord-338895-c2wzjbgb 118 16 the the DT cord-338895-c2wzjbgb 118 17 angular angular JJ cord-338895-c2wzjbgb 118 18 frequency frequency NN cord-338895-c2wzjbgb 118 19 and and CC cord-338895-c2wzjbgb 119 1 ı ı LS cord-338895-c2wzjbgb 119 2 = = SYM cord-338895-c2wzjbgb 119 3 √ √ NNP cord-338895-c2wzjbgb 120 1 −1 −1 NNP cord-338895-c2wzjbgb 120 2 . . . cord-338895-c2wzjbgb 121 1 We -PRON- PRP cord-338895-c2wzjbgb 121 2 adopt adopt VBP cord-338895-c2wzjbgb 121 3 the the DT cord-338895-c2wzjbgb 121 4 Canberra Canberra NNP cord-338895-c2wzjbgb 121 5 distance distance NN cord-338895-c2wzjbgb 121 6 to to TO cord-338895-c2wzjbgb 121 7 measure measure VB cord-338895-c2wzjbgb 121 8 the the DT cord-338895-c2wzjbgb 121 9 dissimilarity dissimilarity NN cord-338895-c2wzjbgb 121 10 between between IN cord-338895-c2wzjbgb 121 11 pairs pair NNS cord-338895-c2wzjbgb 121 12 ( ( -LRB- cord-338895-c2wzjbgb 121 13 i i PRP cord-338895-c2wzjbgb 121 14 , , , cord-338895-c2wzjbgb 121 15 j j NNP cord-338895-c2wzjbgb 121 16 ) ) -RRB- cord-338895-c2wzjbgb 121 17 for for IN cord-338895-c2wzjbgb 121 18 the the DT cord-338895-c2wzjbgb 121 19 time time NN cord-338895-c2wzjbgb 121 20 and and CC cord-338895-c2wzjbgb 121 21 frequency frequency NN cord-338895-c2wzjbgb 121 22 domains domain NNS cord-338895-c2wzjbgb 121 23 : : : cord-338895-c2wzjbgb 121 24 Real real JJ cord-338895-c2wzjbgb 121 25 data datum NNS cord-338895-c2wzjbgb 121 26 Fitting fitting NN cord-338895-c2wzjbgb 121 27 model model NN cord-338895-c2wzjbgb 121 28 that that WDT cord-338895-c2wzjbgb 121 29 is is RB cord-338895-c2wzjbgb 121 30 , , , cord-338895-c2wzjbgb 121 31 distances distance NNS cord-338895-c2wzjbgb 121 32 based base VBN cord-338895-c2wzjbgb 121 33 on on IN cord-338895-c2wzjbgb 121 34 the the DT cord-338895-c2wzjbgb 121 35 variables variable NNS cord-338895-c2wzjbgb 122 1 y y NNP cord-338895-c2wzjbgb 122 2 i i NNP cord-338895-c2wzjbgb 122 3 ( ( -LRB- cord-338895-c2wzjbgb 122 4 t t NN cord-338895-c2wzjbgb 122 5 ) ) -RRB- cord-338895-c2wzjbgb 122 6 = = NFP cord-338895-c2wzjbgb 123 1 t t NNP cord-338895-c2wzjbgb 123 2 n=1 n=1 CC cord-338895-c2wzjbgb 124 1 x x LS cord-338895-c2wzjbgb 124 2 i i PRP cord-338895-c2wzjbgb 124 3 ( ( -LRB- cord-338895-c2wzjbgb 124 4 n n NNP cord-338895-c2wzjbgb 124 5 ) ) -RRB- cord-338895-c2wzjbgb 124 6 and and CC cord-338895-c2wzjbgb 124 7 X X NNP cord-338895-c2wzjbgb 124 8 i i PRP cord-338895-c2wzjbgb 124 9 ( ( -LRB- cord-338895-c2wzjbgb 124 10 ıω ıω NN cord-338895-c2wzjbgb 124 11 ) ) -RRB- cord-338895-c2wzjbgb 125 1 , , , cord-338895-c2wzjbgb 125 2 respectively respectively RB cord-338895-c2wzjbgb 125 3 , , , cord-338895-c2wzjbgb 125 4 where where WRB cord-338895-c2wzjbgb 125 5 Re re NN cord-338895-c2wzjbgb 125 6 { { -LRB- cord-338895-c2wzjbgb 125 7 · · NFP cord-338895-c2wzjbgb 125 8 } } -RRB- cord-338895-c2wzjbgb 125 9 and and CC cord-338895-c2wzjbgb 125 10 I -PRON- PRP cord-338895-c2wzjbgb 125 11 m be VBP cord-338895-c2wzjbgb 125 12 { { -LRB- cord-338895-c2wzjbgb 125 13 · · NFP cord-338895-c2wzjbgb 125 14 } } -RRB- cord-338895-c2wzjbgb 125 15 denote denote VB cord-338895-c2wzjbgb 125 16 the the DT cord-338895-c2wzjbgb 125 17 real real JJ cord-338895-c2wzjbgb 125 18 and and CC cord-338895-c2wzjbgb 125 19 imaginary imaginary JJ cord-338895-c2wzjbgb 125 20 parts part NNS cord-338895-c2wzjbgb 125 21 . . . cord-338895-c2wzjbgb 126 1 The the DT cord-338895-c2wzjbgb 126 2 Canberra Canberra NNP cord-338895-c2wzjbgb 126 3 distance distance NN cord-338895-c2wzjbgb 126 4 has have VBZ cord-338895-c2wzjbgb 126 5 the the DT cord-338895-c2wzjbgb 126 6 relevant relevant JJ cord-338895-c2wzjbgb 126 7 property property NN cord-338895-c2wzjbgb 126 8 of of IN cord-338895-c2wzjbgb 126 9 being be VBG cord-338895-c2wzjbgb 126 10 relatively relatively RB cord-338895-c2wzjbgb 126 11 insensitive insensitive JJ cord-338895-c2wzjbgb 126 12 to to IN cord-338895-c2wzjbgb 126 13 the the DT cord-338895-c2wzjbgb 126 14 simultaneous simultaneous JJ cord-338895-c2wzjbgb 126 15 presence presence NN cord-338895-c2wzjbgb 126 16 of of IN cord-338895-c2wzjbgb 126 17 large large JJ cord-338895-c2wzjbgb 126 18 and and CC cord-338895-c2wzjbgb 126 19 small small JJ cord-338895-c2wzjbgb 126 20 values value NNS cord-338895-c2wzjbgb 126 21 . . . cord-338895-c2wzjbgb 127 1 Obviously obviously RB cord-338895-c2wzjbgb 127 2 , , , cord-338895-c2wzjbgb 127 3 other other JJ cord-338895-c2wzjbgb 127 4 distances distance NNS cord-338895-c2wzjbgb 127 5 are be VBP cord-338895-c2wzjbgb 127 6 possible possible JJ cord-338895-c2wzjbgb 127 7 [ [ -LRB- cord-338895-c2wzjbgb 127 8 38 38 CD cord-338895-c2wzjbgb 127 9 ] ] -RRB- cord-338895-c2wzjbgb 127 10 and and CC cord-338895-c2wzjbgb 127 11 several several JJ cord-338895-c2wzjbgb 127 12 of of IN cord-338895-c2wzjbgb 127 13 them -PRON- PRP cord-338895-c2wzjbgb 127 14 were be VBD cord-338895-c2wzjbgb 127 15 also also RB cord-338895-c2wzjbgb 127 16 tested test VBN cord-338895-c2wzjbgb 127 17 . . . cord-338895-c2wzjbgb 128 1 However however RB cord-338895-c2wzjbgb 128 2 , , , cord-338895-c2wzjbgb 128 3 further further JJ cord-338895-c2wzjbgb 128 4 distances distance NNS cord-338895-c2wzjbgb 128 5 are be VBP cord-338895-c2wzjbgb 128 6 not not RB cord-338895-c2wzjbgb 128 7 included include VBN cord-338895-c2wzjbgb 128 8 herein herein RB cord-338895-c2wzjbgb 128 9 for for IN cord-338895-c2wzjbgb 128 10 sake sake NN cord-338895-c2wzjbgb 128 11 of of IN cord-338895-c2wzjbgb 128 12 parsimony parsimony NN cord-338895-c2wzjbgb 128 13 , , , cord-338895-c2wzjbgb 128 14 since since IN cord-338895-c2wzjbgb 128 15 d d NNP cord-338895-c2wzjbgb 128 16 t t NNP cord-338895-c2wzjbgb 128 17 , , , cord-338895-c2wzjbgb 128 18 y y NNP cord-338895-c2wzjbgb 128 19 C C NNP cord-338895-c2wzjbgb 128 20 i i NNP cord-338895-c2wzjbgb 128 21 j j NNP cord-338895-c2wzjbgb 128 22 and and CC cord-338895-c2wzjbgb 128 23 d d NNP cord-338895-c2wzjbgb 128 24 f f NNP cord-338895-c2wzjbgb 128 25 , , , cord-338895-c2wzjbgb 128 26 X X NNP cord-338895-c2wzjbgb 128 27 C C NNP cord-338895-c2wzjbgb 128 28 i i NN cord-338895-c2wzjbgb 128 29 j j PRP cord-338895-c2wzjbgb 128 30 illustrate illustrate VBP cord-338895-c2wzjbgb 128 31 adequately adequately RB cord-338895-c2wzjbgb 128 32 the the DT cord-338895-c2wzjbgb 128 33 proposed propose VBN cord-338895-c2wzjbgb 128 34 concepts concept NNS cord-338895-c2wzjbgb 128 35 . . . cord-338895-c2wzjbgb 129 1 For for IN cord-338895-c2wzjbgb 129 2 visualizing visualize VBG cord-338895-c2wzjbgb 129 3 the the DT cord-338895-c2wzjbgb 129 4 relationships relationship NNS cord-338895-c2wzjbgb 129 5 between between IN cord-338895-c2wzjbgb 129 6 the the DT cord-338895-c2wzjbgb 129 7 79 79 CD cord-338895-c2wzjbgb 129 8 countries country NNS cord-338895-c2wzjbgb 129 9 , , , cord-338895-c2wzjbgb 129 10 we -PRON- PRP cord-338895-c2wzjbgb 129 11 first first RB cord-338895-c2wzjbgb 129 12 adopt adopt VBP cord-338895-c2wzjbgb 129 13 the the DT cord-338895-c2wzjbgb 129 14 HC HC NNP cord-338895-c2wzjbgb 129 15 computational computational JJ cord-338895-c2wzjbgb 129 16 approach approach NN cord-338895-c2wzjbgb 129 17 . . . cord-338895-c2wzjbgb 130 1 The the DT cord-338895-c2wzjbgb 130 2 HC HC NNP cord-338895-c2wzjbgb 130 3 is be VBZ cord-338895-c2wzjbgb 130 4 a a DT cord-338895-c2wzjbgb 130 5 technique technique NN cord-338895-c2wzjbgb 130 6 that that WDT cord-338895-c2wzjbgb 130 7 groups group NNS cord-338895-c2wzjbgb 130 8 similar similar JJ cord-338895-c2wzjbgb 130 9 objects object NNS cord-338895-c2wzjbgb 130 10 [ [ -LRB- cord-338895-c2wzjbgb 130 11 39 39 CD cord-338895-c2wzjbgb 130 12 ] ] -RRB- cord-338895-c2wzjbgb 130 13 . . . cord-338895-c2wzjbgb 131 1 Given give VBN cord-338895-c2wzjbgb 131 2 M M NNP cord-338895-c2wzjbgb 131 3 objects object NNS cord-338895-c2wzjbgb 131 4 in in IN cord-338895-c2wzjbgb 131 5 a a DT cord-338895-c2wzjbgb 131 6 q q NN cord-338895-c2wzjbgb 131 7 - - HYPH cord-338895-c2wzjbgb 131 8 dimensional dimensional JJ cord-338895-c2wzjbgb 131 9 real real RB cord-338895-c2wzjbgb 131 10 - - HYPH cord-338895-c2wzjbgb 131 11 valued value VBN cord-338895-c2wzjbgb 131 12 space space NN cord-338895-c2wzjbgb 131 13 and and CC cord-338895-c2wzjbgb 131 14 a a DT cord-338895-c2wzjbgb 131 15 dissimilarity dissimilarity NN cord-338895-c2wzjbgb 131 16 metric metric NN cord-338895-c2wzjbgb 131 17 , , , cord-338895-c2wzjbgb 131 18 . . . cord-338895-c2wzjbgb 131 19 . . . cord-338895-c2wzjbgb 132 1 , , , cord-338895-c2wzjbgb 132 2 M M NNP cord-338895-c2wzjbgb 132 3 , , , cord-338895-c2wzjbgb 132 4 of of IN cord-338895-c2wzjbgb 132 5 object object NN cord-338895-c2wzjbgb 132 6 to to TO cord-338895-c2wzjbgb 132 7 object object VB cord-338895-c2wzjbgb 132 8 dissimilarities dissimilarity NNS cord-338895-c2wzjbgb 132 9 is be VBZ cord-338895-c2wzjbgb 132 10 determined determine VBN cord-338895-c2wzjbgb 132 11 [ [ -LRB- cord-338895-c2wzjbgb 132 12 40 40 CD cord-338895-c2wzjbgb 132 13 ] ] -RRB- cord-338895-c2wzjbgb 132 14 . . . cord-338895-c2wzjbgb 133 1 The the DT cord-338895-c2wzjbgb 133 2 HC HC NNP cord-338895-c2wzjbgb 133 3 generates generate VBZ cord-338895-c2wzjbgb 133 4 a a DT cord-338895-c2wzjbgb 133 5 structure structure NN cord-338895-c2wzjbgb 133 6 of of IN cord-338895-c2wzjbgb 133 7 object object NN cord-338895-c2wzjbgb 133 8 clusters cluster NNS cord-338895-c2wzjbgb 133 9 , , , cord-338895-c2wzjbgb 133 10 using use VBG cord-338895-c2wzjbgb 133 11 Δ Δ NNP cord-338895-c2wzjbgb 133 12 as as IN cord-338895-c2wzjbgb 133 13 input input NN cord-338895-c2wzjbgb 133 14 , , , cord-338895-c2wzjbgb 133 15 that that WDT cord-338895-c2wzjbgb 133 16 is be VBZ cord-338895-c2wzjbgb 133 17 represented represent VBN cord-338895-c2wzjbgb 133 18 graphically graphically RB cord-338895-c2wzjbgb 133 19 either either CC cord-338895-c2wzjbgb 133 20 by by IN cord-338895-c2wzjbgb 133 21 a a DT cord-338895-c2wzjbgb 133 22 hierarchical hierarchical JJ cord-338895-c2wzjbgb 133 23 tree tree NN cord-338895-c2wzjbgb 133 24 or or CC cord-338895-c2wzjbgb 133 25 a a DT cord-338895-c2wzjbgb 133 26 dendrogram dendrogram NN cord-338895-c2wzjbgb 133 27 . . . cord-338895-c2wzjbgb 134 1 We -PRON- PRP cord-338895-c2wzjbgb 134 2 have have VBP cord-338895-c2wzjbgb 134 3 two two CD cord-338895-c2wzjbgb 134 4 alternatives alternative NNS cord-338895-c2wzjbgb 134 5 to to TO cord-338895-c2wzjbgb 134 6 generate generate VB cord-338895-c2wzjbgb 134 7 a a DT cord-338895-c2wzjbgb 134 8 hierarchy hierarchy NN cord-338895-c2wzjbgb 134 9 of of IN cord-338895-c2wzjbgb 134 10 clusters cluster NNS cord-338895-c2wzjbgb 134 11 , , , cord-338895-c2wzjbgb 134 12 namely namely RB cord-338895-c2wzjbgb 134 13 the the DT cord-338895-c2wzjbgb 134 14 agglomerative agglomerative JJ cord-338895-c2wzjbgb 134 15 and and CC cord-338895-c2wzjbgb 134 16 divisive divisive JJ cord-338895-c2wzjbgb 134 17 clustering clustering NN cord-338895-c2wzjbgb 134 18 iterative iterative JJ cord-338895-c2wzjbgb 134 19 techniques technique NNS cord-338895-c2wzjbgb 134 20 . . . cord-338895-c2wzjbgb 135 1 In in IN cord-338895-c2wzjbgb 135 2 the the DT cord-338895-c2wzjbgb 135 3 first first JJ cord-338895-c2wzjbgb 135 4 , , , cord-338895-c2wzjbgb 135 5 each each DT cord-338895-c2wzjbgb 135 6 object object NN cord-338895-c2wzjbgb 135 7 starts start VBZ cord-338895-c2wzjbgb 135 8 in in IN cord-338895-c2wzjbgb 135 9 its -PRON- PRP$ cord-338895-c2wzjbgb 135 10 own own JJ cord-338895-c2wzjbgb 135 11 cluster cluster NN cord-338895-c2wzjbgb 135 12 and and CC cord-338895-c2wzjbgb 135 13 the the DT cord-338895-c2wzjbgb 135 14 successive successive JJ cord-338895-c2wzjbgb 135 15 iterations iteration NNS cord-338895-c2wzjbgb 135 16 merge merge VBP cord-338895-c2wzjbgb 135 17 the the DT cord-338895-c2wzjbgb 135 18 pair pair NN cord-338895-c2wzjbgb 135 19 of of IN cord-338895-c2wzjbgb 135 20 most most RBS cord-338895-c2wzjbgb 135 21 similar similar JJ cord-338895-c2wzjbgb 135 22 clusters cluster NNS cord-338895-c2wzjbgb 135 23 until until IN cord-338895-c2wzjbgb 135 24 there there EX cord-338895-c2wzjbgb 135 25 is be VBZ cord-338895-c2wzjbgb 135 26 a a DT cord-338895-c2wzjbgb 135 27 single single JJ cord-338895-c2wzjbgb 135 28 cluster cluster NN cord-338895-c2wzjbgb 135 29 . . . cord-338895-c2wzjbgb 136 1 In in IN cord-338895-c2wzjbgb 136 2 the the DT cord-338895-c2wzjbgb 136 3 second second JJ cord-338895-c2wzjbgb 136 4 technique technique NN cord-338895-c2wzjbgb 136 5 all all DT cord-338895-c2wzjbgb 136 6 objects object NNS cord-338895-c2wzjbgb 136 7 start start VBP cord-338895-c2wzjbgb 136 8 in in IN cord-338895-c2wzjbgb 136 9 one one CD cord-338895-c2wzjbgb 136 10 cluster cluster NN cord-338895-c2wzjbgb 136 11 and and CC cord-338895-c2wzjbgb 136 12 , , , cord-338895-c2wzjbgb 136 13 during during IN cord-338895-c2wzjbgb 136 14 the the DT cord-338895-c2wzjbgb 136 15 iterations iteration NNS cord-338895-c2wzjbgb 136 16 , , , cord-338895-c2wzjbgb 136 17 the the DT cord-338895-c2wzjbgb 136 18 ' ' `` cord-338895-c2wzjbgb 136 19 outsiders outsider NNS cord-338895-c2wzjbgb 136 20 ' ' '' cord-338895-c2wzjbgb 136 21 are be VBP cord-338895-c2wzjbgb 136 22 removed remove VBN cord-338895-c2wzjbgb 136 23 from from IN cord-338895-c2wzjbgb 136 24 the the DT cord-338895-c2wzjbgb 136 25 least least JJS cord-338895-c2wzjbgb 136 26 cohesive cohesive JJ cord-338895-c2wzjbgb 136 27 cluster cluster NN cord-338895-c2wzjbgb 136 28 , , , cord-338895-c2wzjbgb 136 29 until until IN cord-338895-c2wzjbgb 136 30 each each DT cord-338895-c2wzjbgb 136 31 object object NN cord-338895-c2wzjbgb 136 32 is be VBZ cord-338895-c2wzjbgb 136 33 in in IN cord-338895-c2wzjbgb 136 34 a a DT cord-338895-c2wzjbgb 136 35 separate separate JJ cord-338895-c2wzjbgb 136 36 cluster cluster NN cord-338895-c2wzjbgb 136 37 . . . cord-338895-c2wzjbgb 137 1 In in IN cord-338895-c2wzjbgb 137 2 both both DT cord-338895-c2wzjbgb 137 3 cases case NNS cord-338895-c2wzjbgb 137 4 the the DT cord-338895-c2wzjbgb 137 5 HC HC NNP cord-338895-c2wzjbgb 137 6 requires require VBZ cord-338895-c2wzjbgb 137 7 a a DT cord-338895-c2wzjbgb 137 8 linkage linkage NN cord-338895-c2wzjbgb 137 9 criterion criterion NN cord-338895-c2wzjbgb 137 10 , , , cord-338895-c2wzjbgb 137 11 that that DT cord-338895-c2wzjbgb 137 12 is be VBZ cord-338895-c2wzjbgb 137 13 a a DT cord-338895-c2wzjbgb 137 14 function function NN cord-338895-c2wzjbgb 137 15 of of IN cord-338895-c2wzjbgb 137 16 the the DT cord-338895-c2wzjbgb 137 17 distances distance NNS cord-338895-c2wzjbgb 137 18 between between IN cord-338895-c2wzjbgb 137 19 pairs pair NNS cord-338895-c2wzjbgb 137 20 of of IN cord-338895-c2wzjbgb 137 21 items item NNS cord-338895-c2wzjbgb 137 22 , , , cord-338895-c2wzjbgb 137 23 for for IN cord-338895-c2wzjbgb 137 24 quantifying quantify VBG cord-338895-c2wzjbgb 137 25 the the DT cord-338895-c2wzjbgb 137 26 dissimilarity dissimilarity NN cord-338895-c2wzjbgb 137 27 between between IN cord-338895-c2wzjbgb 137 28 clusters cluster NNS cord-338895-c2wzjbgb 137 29 . . . cord-338895-c2wzjbgb 138 1 Metrics metric NNS cord-338895-c2wzjbgb 138 2 such such JJ cord-338895-c2wzjbgb 138 3 as as IN cord-338895-c2wzjbgb 138 4 the the DT cord-338895-c2wzjbgb 138 5 maximum maximum JJ cord-338895-c2wzjbgb 138 6 , , , cord-338895-c2wzjbgb 138 7 minimum minimum JJ cord-338895-c2wzjbgb 138 8 and and CC cord-338895-c2wzjbgb 138 9 average average JJ cord-338895-c2wzjbgb 138 10 linkages linkage NNS cord-338895-c2wzjbgb 138 11 are be VBP cord-338895-c2wzjbgb 138 12 often often RB cord-338895-c2wzjbgb 138 13 used use VBN cord-338895-c2wzjbgb 138 14 . . . cord-338895-c2wzjbgb 139 1 The the DT cord-338895-c2wzjbgb 139 2 distance distance NN cord-338895-c2wzjbgb 139 3 d d NN cord-338895-c2wzjbgb 139 4 ( ( -LRB- cord-338895-c2wzjbgb 139 5 x x NNP cord-338895-c2wzjbgb 139 6 R r NN cord-338895-c2wzjbgb 139 7 , , , cord-338895-c2wzjbgb 139 8 x x NNP cord-338895-c2wzjbgb 139 9 S S NNP cord-338895-c2wzjbgb 139 10 ) ) -RRB- cord-338895-c2wzjbgb 139 11 between between IN cord-338895-c2wzjbgb 139 12 two two CD cord-338895-c2wzjbgb 139 13 objects object NNS cord-338895-c2wzjbgb 139 14 x x SYM cord-338895-c2wzjbgb 139 15 R r NN cord-338895-c2wzjbgb 139 16 ∈ ∈ NN cord-338895-c2wzjbgb 139 17 R r NN cord-338895-c2wzjbgb 139 18 and and CC cord-338895-c2wzjbgb 139 19 x x NN cord-338895-c2wzjbgb 139 20 S s NN cord-338895-c2wzjbgb 140 1 ∈ ∈ NNP cord-338895-c2wzjbgb 140 2 S S NNP cord-338895-c2wzjbgb 140 3 , , , cord-338895-c2wzjbgb 140 4 in in IN cord-338895-c2wzjbgb 140 5 the the DT cord-338895-c2wzjbgb 140 6 clusters cluster NNS cord-338895-c2wzjbgb 140 7 R r NN cord-338895-c2wzjbgb 140 8 and and CC cord-338895-c2wzjbgb 140 9 S S NNP cord-338895-c2wzjbgb 140 10 , , , cord-338895-c2wzjbgb 140 11 respectively respectively RB cord-338895-c2wzjbgb 140 12 , , , cord-338895-c2wzjbgb 140 13 can can MD cord-338895-c2wzjbgb 140 14 be be VB cord-338895-c2wzjbgb 140 15 assessed assess VBN cord-338895-c2wzjbgb 140 16 by by IN cord-338895-c2wzjbgb 140 17 means mean NNS cord-338895-c2wzjbgb 140 18 of of IN cord-338895-c2wzjbgb 140 19 several several JJ cord-338895-c2wzjbgb 140 20 metrics metric NNS cord-338895-c2wzjbgb 140 21 such such JJ cord-338895-c2wzjbgb 140 22 as as IN cord-338895-c2wzjbgb 140 23 the the DT cord-338895-c2wzjbgb 140 24 average average JJ cord-338895-c2wzjbgb 140 25 - - HYPH cord-338895-c2wzjbgb 140 26 linkage linkage NN cord-338895-c2wzjbgb 140 27 given give VBN cord-338895-c2wzjbgb 140 28 by by IN cord-338895-c2wzjbgb 140 29 [ [ -LRB- cord-338895-c2wzjbgb 140 30 41 41 CD cord-338895-c2wzjbgb 140 31 ] ] -RRB- cord-338895-c2wzjbgb 140 32 : : : cord-338895-c2wzjbgb 141 1 For for IN cord-338895-c2wzjbgb 141 2 assessing assess VBG cord-338895-c2wzjbgb 141 3 the the DT cord-338895-c2wzjbgb 141 4 clustering clustering NN cord-338895-c2wzjbgb 141 5 quality quality NN cord-338895-c2wzjbgb 141 6 , , , cord-338895-c2wzjbgb 141 7 the the DT cord-338895-c2wzjbgb 141 8 index index NN cord-338895-c2wzjbgb 141 9 cc cc CD cord-338895-c2wzjbgb 141 10 is be VBZ cord-338895-c2wzjbgb 141 11 mostly mostly RB cord-338895-c2wzjbgb 141 12 used use VBN cord-338895-c2wzjbgb 141 13 [ [ -LRB- cord-338895-c2wzjbgb 141 14 42 42 CD cord-338895-c2wzjbgb 141 15 ] ] -RRB- cord-338895-c2wzjbgb 141 16 . . . cord-338895-c2wzjbgb 142 1 Let let VB cord-338895-c2wzjbgb 142 2 us -PRON- PRP cord-338895-c2wzjbgb 142 3 consider consider VB cord-338895-c2wzjbgb 142 4 that that IN cord-338895-c2wzjbgb 142 5 the the DT cord-338895-c2wzjbgb 142 6 original original JJ cord-338895-c2wzjbgb 142 7 object object NN cord-338895-c2wzjbgb 142 8 X x NN cord-338895-c2wzjbgb 142 9 i i PRP cord-338895-c2wzjbgb 142 10 is be VBZ cord-338895-c2wzjbgb 142 11 described describe VBN cord-338895-c2wzjbgb 142 12 by by IN cord-338895-c2wzjbgb 142 13 a a DT cord-338895-c2wzjbgb 142 14 HC HC NNP cord-338895-c2wzjbgb 142 15 representation representation NN cord-338895-c2wzjbgb 142 16 T t NN cord-338895-c2wzjbgb 142 17 i i NN cord-338895-c2wzjbgb 142 18 . . . cord-338895-c2wzjbgb 143 1 Additionally additionally RB cord-338895-c2wzjbgb 143 2 , , , cord-338895-c2wzjbgb 143 3 let let VBD cord-338895-c2wzjbgb 143 4 x(i x(i NNP cord-338895-c2wzjbgb 143 5 , , , cord-338895-c2wzjbgb 143 6 j j NNP cord-338895-c2wzjbgb 143 7 ) ) -RRB- cord-338895-c2wzjbgb 143 8 and and CC cord-338895-c2wzjbgb 143 9 t t NNP cord-338895-c2wzjbgb 143 10 ( ( -LRB- cord-338895-c2wzjbgb 143 11 i i NNP cord-338895-c2wzjbgb 143 12 , , , cord-338895-c2wzjbgb 143 13 j j NNP cord-338895-c2wzjbgb 143 14 ) ) -RRB- cord-338895-c2wzjbgb 143 15 stand stand VB cord-338895-c2wzjbgb 143 16 for for IN cord-338895-c2wzjbgb 143 17 the the DT cord-338895-c2wzjbgb 143 18 the the DT cord-338895-c2wzjbgb 143 19 distances distance NNS cord-338895-c2wzjbgb 143 20 between between IN cord-338895-c2wzjbgb 143 21 the the DT cord-338895-c2wzjbgb 143 22 X x NN cord-338895-c2wzjbgb 143 23 i i NN cord-338895-c2wzjbgb 143 24 and and CC cord-338895-c2wzjbgb 143 25 X X NNP cord-338895-c2wzjbgb 143 26 j j NNP cord-338895-c2wzjbgb 143 27 original original JJ cord-338895-c2wzjbgb 143 28 observations observation NNS cord-338895-c2wzjbgb 143 29 and and CC cord-338895-c2wzjbgb 143 30 the the DT cord-338895-c2wzjbgb 143 31 HC HC NNP cord-338895-c2wzjbgb 143 32 points point NNS cord-338895-c2wzjbgb 143 33 T T NNP cord-338895-c2wzjbgb 143 34 i i NNP cord-338895-c2wzjbgb 143 35 and and CC cord-338895-c2wzjbgb 143 36 T T NNP cord-338895-c2wzjbgb 143 37 j j NNP cord-338895-c2wzjbgb 143 38 , , , cord-338895-c2wzjbgb 143 39 respectively respectively RB cord-338895-c2wzjbgb 143 40 . . . cord-338895-c2wzjbgb 144 1 If if IN cord-338895-c2wzjbgb 144 2 we -PRON- PRP cord-338895-c2wzjbgb 144 3 havex havex NNP cord-338895-c2wzjbgb 144 4 = = SYM cord-338895-c2wzjbgb 144 5 av av NNP cord-338895-c2wzjbgb 144 6 ( ( -LRB- cord-338895-c2wzjbgb 144 7 x x NFP cord-338895-c2wzjbgb 144 8 ( ( -LRB- cord-338895-c2wzjbgb 144 9 i i PRP cord-338895-c2wzjbgb 144 10 , , , cord-338895-c2wzjbgb 144 11 j j NNP cord-338895-c2wzjbgb 144 12 ) ) -RRB- cord-338895-c2wzjbgb 144 13 ) ) -RRB- cord-338895-c2wzjbgb 145 1 andt andt NNP cord-338895-c2wzjbgb 145 2 = = NFP cord-338895-c2wzjbgb 146 1 av av NNP cord-338895-c2wzjbgb 146 2 ( ( -LRB- cord-338895-c2wzjbgb 146 3 t t NN cord-338895-c2wzjbgb 146 4 ( ( -LRB- cord-338895-c2wzjbgb 146 5 i i NNP cord-338895-c2wzjbgb 146 6 , , , cord-338895-c2wzjbgb 146 7 j j NNP cord-338895-c2wzjbgb 146 8 ) ) -RRB- cord-338895-c2wzjbgb 146 9 ) ) -RRB- cord-338895-c2wzjbgb 146 10 , , , cord-338895-c2wzjbgb 146 11 where where WRB cord-338895-c2wzjbgb 146 12 av av NN cord-338895-c2wzjbgb 146 13 ( ( -LRB- cord-338895-c2wzjbgb 146 14 · · NFP cord-338895-c2wzjbgb 146 15 ) ) -RRB- cord-338895-c2wzjbgb 146 16 denotes denote VBZ cord-338895-c2wzjbgb 146 17 average average JJ cord-338895-c2wzjbgb 146 18 , , , cord-338895-c2wzjbgb 146 19 then then RB cord-338895-c2wzjbgb 146 20 cc cc NN cord-338895-c2wzjbgb 146 21 is be VBZ cord-338895-c2wzjbgb 146 22 given give VBN cord-338895-c2wzjbgb 146 23 by by IN cord-338895-c2wzjbgb 146 24 : : : cord-338895-c2wzjbgb 147 1 The the DT cord-338895-c2wzjbgb 147 2 closer close RBR cord-338895-c2wzjbgb 147 3 the the DT cord-338895-c2wzjbgb 147 4 value value NN cord-338895-c2wzjbgb 147 5 of of IN cord-338895-c2wzjbgb 147 6 cc cc NN cord-338895-c2wzjbgb 147 7 is be VBZ cord-338895-c2wzjbgb 147 8 to to IN cord-338895-c2wzjbgb 147 9 1 1 CD cord-338895-c2wzjbgb 147 10 , , , cord-338895-c2wzjbgb 147 11 the the DT cord-338895-c2wzjbgb 147 12 better well JJR cord-338895-c2wzjbgb 147 13 the the DT cord-338895-c2wzjbgb 147 14 clustering clustering NN cord-338895-c2wzjbgb 147 15 reflects reflect VBZ cord-338895-c2wzjbgb 147 16 the the DT cord-338895-c2wzjbgb 147 17 original original JJ cord-338895-c2wzjbgb 147 18 data datum NNS cord-338895-c2wzjbgb 147 19 . . . cord-338895-c2wzjbgb 148 1 The the DT cord-338895-c2wzjbgb 148 2 results result NNS cord-338895-c2wzjbgb 148 3 are be VBP cord-338895-c2wzjbgb 148 4 represented represent VBN cord-338895-c2wzjbgb 148 5 in in IN cord-338895-c2wzjbgb 148 6 a a DT cord-338895-c2wzjbgb 148 7 Shepard Shepard NNP cord-338895-c2wzjbgb 148 8 chart chart NN cord-338895-c2wzjbgb 148 9 that that WDT cord-338895-c2wzjbgb 148 10 compares compare VBZ cord-338895-c2wzjbgb 148 11 the the DT cord-338895-c2wzjbgb 148 12 original original JJ cord-338895-c2wzjbgb 148 13 and and CC cord-338895-c2wzjbgb 148 14 the the DT cord-338895-c2wzjbgb 148 15 cophenetic cophenetic JJ cord-338895-c2wzjbgb 148 16 distances distance NNS cord-338895-c2wzjbgb 148 17 . . . cord-338895-c2wzjbgb 149 1 The the DT cord-338895-c2wzjbgb 149 2 closer close RBR cord-338895-c2wzjbgb 149 3 to to IN cord-338895-c2wzjbgb 149 4 the the DT cord-338895-c2wzjbgb 149 5 45 45 CD cord-338895-c2wzjbgb 149 6 degree degree NN cord-338895-c2wzjbgb 149 7 line line NN cord-338895-c2wzjbgb 149 8 the the DT cord-338895-c2wzjbgb 149 9 points point NNS cord-338895-c2wzjbgb 149 10 , , , cord-338895-c2wzjbgb 149 11 the the DT cord-338895-c2wzjbgb 149 12 better well RBR cord-338895-c2wzjbgb 149 13 the the DT cord-338895-c2wzjbgb 149 14 obtained obtain VBN cord-338895-c2wzjbgb 149 15 clustering clustering NN cord-338895-c2wzjbgb 149 16 . . . cord-338895-c2wzjbgb 150 1 For for IN cord-338895-c2wzjbgb 150 2 example example NN cord-338895-c2wzjbgb 150 3 , , , cord-338895-c2wzjbgb 150 4 in in IN cord-338895-c2wzjbgb 150 5 MATLAB MATLAB NNP cord-338895-c2wzjbgb 150 6 , , , cord-338895-c2wzjbgb 150 7 the the DT cord-338895-c2wzjbgb 150 8 cophenetic cophenetic JJ cord-338895-c2wzjbgb 150 9 correlation correlation NN cord-338895-c2wzjbgb 150 10 coefficient coefficient NN cord-338895-c2wzjbgb 150 11 can can MD cord-338895-c2wzjbgb 150 12 be be VB cord-338895-c2wzjbgb 150 13 obtained obtain VBN cord-338895-c2wzjbgb 150 14 by by IN cord-338895-c2wzjbgb 150 15 means mean NNS cord-338895-c2wzjbgb 150 16 of of IN cord-338895-c2wzjbgb 150 17 the the DT cord-338895-c2wzjbgb 150 18 command command NN cord-338895-c2wzjbgb 150 19 cophenet cophenet NNS cord-338895-c2wzjbgb 150 20 . . . cord-338895-c2wzjbgb 151 1 Herein herein RB cord-338895-c2wzjbgb 151 2 , , , cord-338895-c2wzjbgb 151 3 the the DT cord-338895-c2wzjbgb 151 4 agglomerative agglomerative JJ cord-338895-c2wzjbgb 151 5 clustering clustering NN cord-338895-c2wzjbgb 151 6 and and CC cord-338895-c2wzjbgb 151 7 averagelinkage averagelinkage NN cord-338895-c2wzjbgb 151 8 method method NN cord-338895-c2wzjbgb 151 9 are be VBP cord-338895-c2wzjbgb 151 10 adopted adopt VBN cord-338895-c2wzjbgb 151 11 for for IN cord-338895-c2wzjbgb 151 12 visualizing visualize VBG cord-338895-c2wzjbgb 151 13 the the DT cord-338895-c2wzjbgb 151 14 two two CD cord-338895-c2wzjbgb 151 15 resulting result VBG cord-338895-c2wzjbgb 151 16 matrices matrix NNS cord-338895-c2wzjbgb 151 17 of of IN cord-338895-c2wzjbgb 151 18 item item NN cord-338895-c2wzjbgb 151 19 - - HYPH cord-338895-c2wzjbgb 151 20 to to IN cord-338895-c2wzjbgb 151 21 - - HYPH cord-338895-c2wzjbgb 151 22 item item NN cord-338895-c2wzjbgb 151 23 distances distance NNS cord-338895-c2wzjbgb 151 24 based base VBN cord-338895-c2wzjbgb 151 25 on on IN cord-338895-c2wzjbgb 151 26 Eqs Eqs NNP cord-338895-c2wzjbgb 151 27 . . . cord-338895-c2wzjbgb 152 1 ( ( -LRB- cord-338895-c2wzjbgb 152 2 5 5 LS cord-338895-c2wzjbgb 152 3 ) ) -RRB- cord-338895-c2wzjbgb 152 4 and and CC cord-338895-c2wzjbgb 152 5 ( ( -LRB- cord-338895-c2wzjbgb 152 6 6 6 CD cord-338895-c2wzjbgb 152 7 ) ) -RRB- cord-338895-c2wzjbgb 152 8 , , , cord-338895-c2wzjbgb 152 9 respectively respectively RB cord-338895-c2wzjbgb 152 10 [ [ -LRB- cord-338895-c2wzjbgb 152 11 43 43 CD cord-338895-c2wzjbgb 152 12 ] ] -RRB- cord-338895-c2wzjbgb 152 13 . . . cord-338895-c2wzjbgb 152 14 _SP cord-338895-c2wzjbgb 153 1 In in IN cord-338895-c2wzjbgb 153 2 Fig Fig NNP cord-338895-c2wzjbgb 153 3 . . . cord-338895-c2wzjbgb 154 1 4 4 LS cord-338895-c2wzjbgb 154 2 , , , cord-338895-c2wzjbgb 154 3 we -PRON- PRP cord-338895-c2wzjbgb 154 4 see see VBP cord-338895-c2wzjbgb 154 5 a a DT cord-338895-c2wzjbgb 154 6 clear clear JJ cord-338895-c2wzjbgb 154 7 position position NN cord-338895-c2wzjbgb 154 8 of of IN cord-338895-c2wzjbgb 154 9 China China NNP cord-338895-c2wzjbgb 154 10 followed follow VBN cord-338895-c2wzjbgb 154 11 by by IN cord-338895-c2wzjbgb 154 12 the the DT cord-338895-c2wzjbgb 154 13 sub sub JJ cord-338895-c2wzjbgb 154 14 - - JJ cord-338895-c2wzjbgb 154 15 cluster cluster NN cord-338895-c2wzjbgb 154 16 formed form VBN cord-338895-c2wzjbgb 154 17 by by IN cord-338895-c2wzjbgb 154 18 Iran Iran NNP cord-338895-c2wzjbgb 154 19 , , , cord-338895-c2wzjbgb 154 20 Italy Italy NNP cord-338895-c2wzjbgb 154 21 , , , cord-338895-c2wzjbgb 154 22 Spain Spain NNP cord-338895-c2wzjbgb 154 23 , , , cord-338895-c2wzjbgb 154 24 Korea Korea NNP cord-338895-c2wzjbgb 154 25 , , , cord-338895-c2wzjbgb 154 26 United United NNP cord-338895-c2wzjbgb 154 27 States States NNP cord-338895-c2wzjbgb 154 28 , , , cord-338895-c2wzjbgb 154 29 France France NNP cord-338895-c2wzjbgb 154 30 and and CC cord-338895-c2wzjbgb 154 31 Germany Germany NNP cord-338895-c2wzjbgb 154 32 . . . cord-338895-c2wzjbgb 155 1 On on IN cord-338895-c2wzjbgb 155 2 the the DT cord-338895-c2wzjbgb 155 3 other other JJ cord-338895-c2wzjbgb 155 4 hand hand NN cord-338895-c2wzjbgb 155 5 , , , cord-338895-c2wzjbgb 155 6 the the DT cord-338895-c2wzjbgb 155 7 tree tree NN cord-338895-c2wzjbgb 155 8 based base VBN cord-338895-c2wzjbgb 155 9 on on IN cord-338895-c2wzjbgb 155 10 the the DT cord-338895-c2wzjbgb 155 11 frequency frequency NN cord-338895-c2wzjbgb 155 12 response response NN cord-338895-c2wzjbgb 155 13 gives give VBZ cord-338895-c2wzjbgb 155 14 more more JJR cord-338895-c2wzjbgb 155 15 importance importance NN cord-338895-c2wzjbgb 155 16 to to IN cord-338895-c2wzjbgb 155 17 a a DT cord-338895-c2wzjbgb 155 18 sub sub JJ cord-338895-c2wzjbgb 155 19 - - JJ cord-338895-c2wzjbgb 155 20 cluster cluster NN cord-338895-c2wzjbgb 155 21 formed form VBN cord-338895-c2wzjbgb 155 22 by by IN cord-338895-c2wzjbgb 155 23 the the DT cord-338895-c2wzjbgb 155 24 United United NNP cord-338895-c2wzjbgb 155 25 States States NNP cord-338895-c2wzjbgb 155 26 and and CC cord-338895-c2wzjbgb 155 27 China China NNP cord-338895-c2wzjbgb 155 28 , , , cord-338895-c2wzjbgb 155 29 followed follow VBN cord-338895-c2wzjbgb 155 30 by by IN cord-338895-c2wzjbgb 155 31 a a DT cord-338895-c2wzjbgb 155 32 second second JJ cord-338895-c2wzjbgb 155 33 group group NN cord-338895-c2wzjbgb 155 34 including include VBG cord-338895-c2wzjbgb 155 35 United United NNP cord-338895-c2wzjbgb 155 36 Kingdom Kingdom NNP cord-338895-c2wzjbgb 155 37 , , , cord-338895-c2wzjbgb 155 38 Italy Italy NNP cord-338895-c2wzjbgb 155 39 , , , cord-338895-c2wzjbgb 155 40 Germany Germany NNP cord-338895-c2wzjbgb 155 41 , , , cord-338895-c2wzjbgb 155 42 France France NNP cord-338895-c2wzjbgb 155 43 , , , cord-338895-c2wzjbgb 155 44 Spain Spain NNP cord-338895-c2wzjbgb 155 45 , , , cord-338895-c2wzjbgb 155 46 and and CC cord-338895-c2wzjbgb 155 47 Iran Iran NNP cord-338895-c2wzjbgb 155 48 . . . cord-338895-c2wzjbgb 156 1 Moreover moreover RB cord-338895-c2wzjbgb 156 2 , , , cord-338895-c2wzjbgb 156 3 the the DT cord-338895-c2wzjbgb 156 4 second second JJ cord-338895-c2wzjbgb 156 5 tree tree NN cord-338895-c2wzjbgb 156 6 separates separate VBZ cord-338895-c2wzjbgb 156 7 better well RBR cord-338895-c2wzjbgb 156 8 those those DT cord-338895-c2wzjbgb 156 9 countries country NNS cord-338895-c2wzjbgb 156 10 with with IN cord-338895-c2wzjbgb 156 11 a a DT cord-338895-c2wzjbgb 156 12 smaller small JJR cord-338895-c2wzjbgb 156 13 impact impact NN cord-338895-c2wzjbgb 156 14 from from IN cord-338895-c2wzjbgb 156 15 the the DT cord-338895-c2wzjbgb 156 16 virus virus NN cord-338895-c2wzjbgb 156 17 spread spread NN cord-338895-c2wzjbgb 156 18 . . . cord-338895-c2wzjbgb 157 1 In in IN cord-338895-c2wzjbgb 157 2 Fig Fig NNP cord-338895-c2wzjbgb 157 3 . . . cord-338895-c2wzjbgb 158 1 4 4 LS cord-338895-c2wzjbgb 158 2 , , , cord-338895-c2wzjbgb 158 3 the the DT cord-338895-c2wzjbgb 158 4 countries country NNS cord-338895-c2wzjbgb 158 5 with with IN cord-338895-c2wzjbgb 158 6 a a DT cord-338895-c2wzjbgb 158 7 smaller small JJR cord-338895-c2wzjbgb 158 8 ( ( -LRB- cord-338895-c2wzjbgb 158 9 larger large JJR cord-338895-c2wzjbgb 158 10 ) ) -RRB- cord-338895-c2wzjbgb 158 11 number number NN cord-338895-c2wzjbgb 158 12 of of IN cord-338895-c2wzjbgb 158 13 occurrences occurrence NNS cord-338895-c2wzjbgb 158 14 and and CC cord-338895-c2wzjbgb 158 15 a a DT cord-338895-c2wzjbgb 158 16 smaller small JJR cord-338895-c2wzjbgb 158 17 ( ( -LRB- cord-338895-c2wzjbgb 158 18 larger large JJR cord-338895-c2wzjbgb 158 19 ) ) -RRB- cord-338895-c2wzjbgb 158 20 number number NN cord-338895-c2wzjbgb 158 21 of of IN cord-338895-c2wzjbgb 158 22 days day NNS cord-338895-c2wzjbgb 158 23 since since IN cord-338895-c2wzjbgb 158 24 the the DT cord-338895-c2wzjbgb 158 25 first first JJ cord-338895-c2wzjbgb 158 26 case case NN cord-338895-c2wzjbgb 158 27 are be VBP cord-338895-c2wzjbgb 158 28 to to IN cord-338895-c2wzjbgb 158 29 the the DT cord-338895-c2wzjbgb 158 30 left left NN cord-338895-c2wzjbgb 158 31 ( ( -LRB- cord-338895-c2wzjbgb 158 32 right right RB cord-338895-c2wzjbgb 158 33 ) ) -RRB- cord-338895-c2wzjbgb 158 34 . . . cord-338895-c2wzjbgb 159 1 In in IN cord-338895-c2wzjbgb 159 2 Fig Fig NNP cord-338895-c2wzjbgb 159 3 . . . cord-338895-c2wzjbgb 160 1 5 5 LS cord-338895-c2wzjbgb 160 2 , , , cord-338895-c2wzjbgb 160 3 the the DT cord-338895-c2wzjbgb 160 4 distribution distribution NN cord-338895-c2wzjbgb 160 5 for for IN cord-338895-c2wzjbgb 160 6 smaller small JJR cord-338895-c2wzjbgb 160 7 ( ( -LRB- cord-338895-c2wzjbgb 160 8 medium medium NN cord-338895-c2wzjbgb 160 9 / / SYM cord-338895-c2wzjbgb 160 10 larger large JJR cord-338895-c2wzjbgb 160 11 ) ) -RRB- cord-338895-c2wzjbgb 160 12 values value NNS cord-338895-c2wzjbgb 160 13 is be VBZ cord-338895-c2wzjbgb 160 14 located locate VBN cord-338895-c2wzjbgb 160 15 on on IN cord-338895-c2wzjbgb 160 16 the the DT cord-338895-c2wzjbgb 160 17 right right NN cord-338895-c2wzjbgb 160 18 ( ( -LRB- cord-338895-c2wzjbgb 160 19 left left JJ cord-338895-c2wzjbgb 160 20 / / SYM cord-338895-c2wzjbgb 160 21 middle middle JJ cord-338895-c2wzjbgb 160 22 bottom bottom NN cord-338895-c2wzjbgb 160 23 ) ) -RRB- cord-338895-c2wzjbgb 160 24 sides side NNS cord-338895-c2wzjbgb 160 25 . . . cord-338895-c2wzjbgb 161 1 Figure figure NN cord-338895-c2wzjbgb 161 2 6 6 CD cord-338895-c2wzjbgb 161 3 represents represent VBZ cord-338895-c2wzjbgb 161 4 the the DT cord-338895-c2wzjbgb 161 5 Shepard Shepard NNP cord-338895-c2wzjbgb 161 6 plot plot NN cord-338895-c2wzjbgb 161 7 for for IN cord-338895-c2wzjbgb 161 8 assessing assess VBG cord-338895-c2wzjbgb 161 9 the the DT cord-338895-c2wzjbgb 161 10 HC HC NNP cord-338895-c2wzjbgb 161 11 tree tree NN cord-338895-c2wzjbgb 161 12 for for IN cord-338895-c2wzjbgb 161 13 the the DT cord-338895-c2wzjbgb 161 14 74 74 CD cord-338895-c2wzjbgb 161 15 countries country NNS cord-338895-c2wzjbgb 161 16 and and CC cord-338895-c2wzjbgb 161 17 the the DT cord-338895-c2wzjbgb 161 18 item item NN cord-338895-c2wzjbgb 161 19 - - HYPH cord-338895-c2wzjbgb 161 20 to to IN cord-338895-c2wzjbgb 161 21 - - HYPH cord-338895-c2wzjbgb 161 22 item item NN cord-338895-c2wzjbgb 161 23 dissimilarities dissimilarity NNS cord-338895-c2wzjbgb 161 24 d d NNP cord-338895-c2wzjbgb 161 25 t t NNP cord-338895-c2wzjbgb 161 26 , , , cord-338895-c2wzjbgb 161 27 y y NNP cord-338895-c2wzjbgb 161 28 C C NNP cord-338895-c2wzjbgb 161 29 i i NNP cord-338895-c2wzjbgb 161 30 j j NNP cord-338895-c2wzjbgb 161 31 . . . cord-338895-c2wzjbgb 162 1 The the DT cord-338895-c2wzjbgb 162 2 chart chart NN cord-338895-c2wzjbgb 162 3 reflects reflect VBZ cord-338895-c2wzjbgb 162 4 an an DT cord-338895-c2wzjbgb 162 5 accurate accurate JJ cord-338895-c2wzjbgb 162 6 clustering clustering NN cord-338895-c2wzjbgb 162 7 of of IN cord-338895-c2wzjbgb 162 8 the the DT cord-338895-c2wzjbgb 162 9 original original JJ cord-338895-c2wzjbgb 162 10 data datum NNS cord-338895-c2wzjbgb 162 11 . . . cord-338895-c2wzjbgb 163 1 For for IN cord-338895-c2wzjbgb 163 2 the the DT cord-338895-c2wzjbgb 163 3 index index NN cord-338895-c2wzjbgb 163 4 d d NNP cord-338895-c2wzjbgb 163 5 f f NNP cord-338895-c2wzjbgb 163 6 , , , cord-338895-c2wzjbgb 163 7 X X NNP cord-338895-c2wzjbgb 163 8 C C NNP cord-338895-c2wzjbgb 163 9 i i NNP cord-338895-c2wzjbgb 163 10 j j NNP cord-338895-c2wzjbgb 163 11 , , , cord-338895-c2wzjbgb 163 12 the the DT cord-338895-c2wzjbgb 163 13 Shepard Shepard NNP cord-338895-c2wzjbgb 163 14 plot plot NN cord-338895-c2wzjbgb 163 15 is be VBZ cord-338895-c2wzjbgb 163 16 identical identical JJ cord-338895-c2wzjbgb 163 17 to to IN cord-338895-c2wzjbgb 163 18 the the DT cord-338895-c2wzjbgb 163 19 one one CD cord-338895-c2wzjbgb 163 20 in in IN cord-338895-c2wzjbgb 163 21 Fig Fig NNP cord-338895-c2wzjbgb 163 22 . . . cord-338895-c2wzjbgb 163 23 6 6 CD cord-338895-c2wzjbgb 164 1 and and CC cord-338895-c2wzjbgb 164 2 , , , cord-338895-c2wzjbgb 164 3 therefore therefore RB cord-338895-c2wzjbgb 164 4 , , , cord-338895-c2wzjbgb 164 5 is be VBZ cord-338895-c2wzjbgb 164 6 not not RB cord-338895-c2wzjbgb 164 7 presented present VBN cord-338895-c2wzjbgb 164 8 . . . cord-338895-c2wzjbgb 165 1 The the DT cord-338895-c2wzjbgb 165 2 MDS MDS NNP cord-338895-c2wzjbgb 165 3 is be VBZ cord-338895-c2wzjbgb 165 4 a a DT cord-338895-c2wzjbgb 165 5 computational computational JJ cord-338895-c2wzjbgb 165 6 technique technique NN cord-338895-c2wzjbgb 165 7 for for IN cord-338895-c2wzjbgb 165 8 clustering cluster VBG cord-338895-c2wzjbgb 165 9 and and CC cord-338895-c2wzjbgb 165 10 visualizing visualize VBG cord-338895-c2wzjbgb 165 11 multidimensional multidimensional JJ cord-338895-c2wzjbgb 165 12 data datum NNS cord-338895-c2wzjbgb 165 13 [ [ -LRB- cord-338895-c2wzjbgb 165 14 44 44 CD cord-338895-c2wzjbgb 165 15 ] ] -RRB- cord-338895-c2wzjbgb 165 16 . . . cord-338895-c2wzjbgb 166 1 As as IN cord-338895-c2wzjbgb 166 2 for for IN cord-338895-c2wzjbgb 166 3 the the DT cord-338895-c2wzjbgb 166 4 We -PRON- PRP cord-338895-c2wzjbgb 166 5 have have VBP cord-338895-c2wzjbgb 166 6 several several JJ cord-338895-c2wzjbgb 166 7 variants variant NNS cord-338895-c2wzjbgb 166 8 of of IN cord-338895-c2wzjbgb 166 9 the the DT cord-338895-c2wzjbgb 166 10 MDS MDS NNP cord-338895-c2wzjbgb 166 11 , , , cord-338895-c2wzjbgb 166 12 such such JJ cord-338895-c2wzjbgb 166 13 as as IN cord-338895-c2wzjbgb 166 14 the the DT cord-338895-c2wzjbgb 166 15 metric metric JJ cord-338895-c2wzjbgb 166 16 , , , cord-338895-c2wzjbgb 166 17 non non JJ cord-338895-c2wzjbgb 166 18 - - JJ cord-338895-c2wzjbgb 166 19 metric metric JJ cord-338895-c2wzjbgb 166 20 and and CC cord-338895-c2wzjbgb 166 21 generalized generalized JJ cord-338895-c2wzjbgb 166 22 MDS MDS NNP cord-338895-c2wzjbgb 166 23 . . . cord-338895-c2wzjbgb 167 1 In in IN cord-338895-c2wzjbgb 167 2 the the DT cord-338895-c2wzjbgb 167 3 case case NN cord-338895-c2wzjbgb 167 4 of of IN cord-338895-c2wzjbgb 167 5 the the DT cord-338895-c2wzjbgb 167 6 metric metric JJ cord-338895-c2wzjbgb 167 7 MDS MDS NNP cord-338895-c2wzjbgb 167 8 , , , cord-338895-c2wzjbgb 167 9 the the DT cord-338895-c2wzjbgb 167 10 iterative iterative JJ cord-338895-c2wzjbgb 167 11 algorithm algorithm NN cord-338895-c2wzjbgb 167 12 minimizes minimize VBZ cord-338895-c2wzjbgb 167 13 the the DT cord-338895-c2wzjbgb 167 14 stress stress NN cord-338895-c2wzjbgb 167 15 cost cost NN cord-338895-c2wzjbgb 167 16 function function NN cord-338895-c2wzjbgb 167 17 S. S. NNP cord-338895-c2wzjbgb 168 1 We -PRON- PRP cord-338895-c2wzjbgb 168 2 can can MD cord-338895-c2wzjbgb 168 3 have have VB cord-338895-c2wzjbgb 168 4 for for IN cord-338895-c2wzjbgb 168 5 example example NN cord-338895-c2wzjbgb 168 6 the the DT cord-338895-c2wzjbgb 168 7 residual residual JJ cord-338895-c2wzjbgb 168 8 sum sum NN cord-338895-c2wzjbgb 168 9 of of IN cord-338895-c2wzjbgb 168 10 squares square NNS cord-338895-c2wzjbgb 168 11 : : : cord-338895-c2wzjbgb 168 12 The the DT cord-338895-c2wzjbgb 168 13 Sammon Sammon NNP cord-338895-c2wzjbgb 168 14 criterion criterion NN cord-338895-c2wzjbgb 168 15 can can MD cord-338895-c2wzjbgb 168 16 be be VB cord-338895-c2wzjbgb 168 17 also also RB cord-338895-c2wzjbgb 168 18 adopted adopt VBN cord-338895-c2wzjbgb 168 19 The the DT cord-338895-c2wzjbgb 168 20 MATLAB MATLAB NNP cord-338895-c2wzjbgb 168 21 command command NN cord-338895-c2wzjbgb 168 22 cmdscale cmdscale NN cord-338895-c2wzjbgb 168 23 and and CC cord-338895-c2wzjbgb 168 24 stress stress NN cord-338895-c2wzjbgb 168 25 criterion criterion NN cord-338895-c2wzjbgb 168 26 Sammon Sammon NNP cord-338895-c2wzjbgb 168 27 were be VBD cord-338895-c2wzjbgb 168 28 adopted adopt VBN cord-338895-c2wzjbgb 168 29 . . . cord-338895-c2wzjbgb 169 1 The the DT cord-338895-c2wzjbgb 169 2 interpretation interpretation NN cord-338895-c2wzjbgb 169 3 of of IN cord-338895-c2wzjbgb 169 4 the the DT cord-338895-c2wzjbgb 169 5 MDS MDS NNP cord-338895-c2wzjbgb 169 6 locus locus NN cord-338895-c2wzjbgb 169 7 is be VBZ cord-338895-c2wzjbgb 169 8 based base VBN cord-338895-c2wzjbgb 169 9 on on IN cord-338895-c2wzjbgb 169 10 the the DT cord-338895-c2wzjbgb 169 11 patterns pattern NNS cord-338895-c2wzjbgb 169 12 of of IN cord-338895-c2wzjbgb 169 13 points point NNS cord-338895-c2wzjbgb 169 14 . . . cord-338895-c2wzjbgb 170 1 Similar similar JJ cord-338895-c2wzjbgb 170 2 ( ( -LRB- cord-338895-c2wzjbgb 170 3 dissimilar dissimilar JJ cord-338895-c2wzjbgb 170 4 ) ) -RRB- cord-338895-c2wzjbgb 170 5 objects object NNS cord-338895-c2wzjbgb 170 6 are be VBP cord-338895-c2wzjbgb 170 7 represented represent VBN cord-338895-c2wzjbgb 170 8 by by IN cord-338895-c2wzjbgb 170 9 points point NNS cord-338895-c2wzjbgb 170 10 that that WDT cord-338895-c2wzjbgb 170 11 are be VBP cord-338895-c2wzjbgb 170 12 close close JJ cord-338895-c2wzjbgb 170 13 to to IN cord-338895-c2wzjbgb 170 14 ( ( -LRB- cord-338895-c2wzjbgb 170 15 far far RB cord-338895-c2wzjbgb 170 16 from from IN cord-338895-c2wzjbgb 170 17 ) ) -RRB- cord-338895-c2wzjbgb 171 1 each each DT cord-338895-c2wzjbgb 171 2 other other JJ cord-338895-c2wzjbgb 171 3 . . . cord-338895-c2wzjbgb 172 1 Therefore therefore RB cord-338895-c2wzjbgb 172 2 , , , cord-338895-c2wzjbgb 172 3 the the DT cord-338895-c2wzjbgb 172 4 information information NN cord-338895-c2wzjbgb 172 5 retrieval retrieval NN cord-338895-c2wzjbgb 172 6 is be VBZ cord-338895-c2wzjbgb 172 7 not not RB cord-338895-c2wzjbgb 172 8 based base VBN cord-338895-c2wzjbgb 172 9 on on IN cord-338895-c2wzjbgb 172 10 the the DT cord-338895-c2wzjbgb 172 11 point point NN cord-338895-c2wzjbgb 172 12 coordinates coordinate NNS cord-338895-c2wzjbgb 172 13 , , , cord-338895-c2wzjbgb 172 14 nor nor CC cord-338895-c2wzjbgb 172 15 the the DT cord-338895-c2wzjbgb 172 16 shape shape NN cord-338895-c2wzjbgb 172 17 of of IN cord-338895-c2wzjbgb 172 18 the the DT cord-338895-c2wzjbgb 172 19 clusters cluster NNS cord-338895-c2wzjbgb 172 20 . . . cord-338895-c2wzjbgb 173 1 This this DT cord-338895-c2wzjbgb 173 2 means mean VBZ cord-338895-c2wzjbgb 173 3 that that IN cord-338895-c2wzjbgb 173 4 it -PRON- PRP cord-338895-c2wzjbgb 173 5 is be VBZ cord-338895-c2wzjbgb 173 6 possible possible JJ cord-338895-c2wzjbgb 173 7 to to TO cord-338895-c2wzjbgb 173 8 magnify magnify VB cord-338895-c2wzjbgb 173 9 , , , cord-338895-c2wzjbgb 173 10 translate translate VB cord-338895-c2wzjbgb 173 11 and and CC cord-338895-c2wzjbgb 173 12 rotate rotate VB cord-338895-c2wzjbgb 173 13 the the DT cord-338895-c2wzjbgb 173 14 MDS MDS NNP cord-338895-c2wzjbgb 173 15 locus locus NN cord-338895-c2wzjbgb 173 16 . . . cord-338895-c2wzjbgb 174 1 The the DT cord-338895-c2wzjbgb 174 2 axes axis NNS cord-338895-c2wzjbgb 174 3 of of IN cord-338895-c2wzjbgb 174 4 the the DT cord-338895-c2wzjbgb 174 5 MDS MDS NNP cord-338895-c2wzjbgb 174 6 plot plot NN cord-338895-c2wzjbgb 174 7 have have VBP cord-338895-c2wzjbgb 174 8 neither neither DT cord-338895-c2wzjbgb 174 9 units unit NNS cord-338895-c2wzjbgb 174 10 nor nor CC cord-338895-c2wzjbgb 174 11 a a DT cord-338895-c2wzjbgb 174 12 special special JJ cord-338895-c2wzjbgb 174 13 physical physical JJ cord-338895-c2wzjbgb 174 14 meaning meaning NN cord-338895-c2wzjbgb 174 15 . . . cord-338895-c2wzjbgb 175 1 The the DT cord-338895-c2wzjbgb 175 2 quality quality NN cord-338895-c2wzjbgb 175 3 of of IN cord-338895-c2wzjbgb 175 4 the the DT cord-338895-c2wzjbgb 175 5 MDS MDS NNP cord-338895-c2wzjbgb 175 6 can can MD cord-338895-c2wzjbgb 175 7 be be VB cord-338895-c2wzjbgb 175 8 assessed assess VBN cord-338895-c2wzjbgb 175 9 through through IN cord-338895-c2wzjbgb 175 10 the the DT cord-338895-c2wzjbgb 175 11 stress stress NN cord-338895-c2wzjbgb 175 12 and and CC cord-338895-c2wzjbgb 175 13 Shepard Shepard NNP cord-338895-c2wzjbgb 175 14 diagrams diagram NNS cord-338895-c2wzjbgb 175 15 . . . cord-338895-c2wzjbgb 176 1 The the DT cord-338895-c2wzjbgb 176 2 stress stress NN cord-338895-c2wzjbgb 176 3 chart chart NN cord-338895-c2wzjbgb 176 4 represents represent VBZ cord-338895-c2wzjbgb 176 5 S S NNP cord-338895-c2wzjbgb 176 6 versus versus IN cord-338895-c2wzjbgb 176 7 d. d. NNP cord-338895-c2wzjbgb 177 1 The the DT cord-338895-c2wzjbgb 177 2 plot plot NN cord-338895-c2wzjbgb 177 3 is be VBZ cord-338895-c2wzjbgb 177 4 monotonically monotonically RB cord-338895-c2wzjbgb 177 5 decreasing decrease VBG cord-338895-c2wzjbgb 177 6 and and CC cord-338895-c2wzjbgb 177 7 choosing choose VBG cord-338895-c2wzjbgb 177 8 a a DT cord-338895-c2wzjbgb 177 9 given give VBN cord-338895-c2wzjbgb 177 10 value value NN cord-338895-c2wzjbgb 177 11 of of IN cord-338895-c2wzjbgb 177 12 d d NN cord-338895-c2wzjbgb 178 1 is be VBZ cord-338895-c2wzjbgb 178 2 a a DT cord-338895-c2wzjbgb 178 3 compromise compromise NN cord-338895-c2wzjbgb 178 4 between between IN cord-338895-c2wzjbgb 178 5 obtaining obtain VBG cord-338895-c2wzjbgb 178 6 low low JJ cord-338895-c2wzjbgb 178 7 values value NNS cord-338895-c2wzjbgb 178 8 of of IN cord-338895-c2wzjbgb 178 9 S S NNP cord-338895-c2wzjbgb 178 10 and and CC cord-338895-c2wzjbgb 178 11 d. d. NNP cord-338895-c2wzjbgb 179 1 The the DT cord-338895-c2wzjbgb 179 2 values value NNS cord-338895-c2wzjbgb 179 3 d d XX cord-338895-c2wzjbgb 179 4 = = SYM cord-338895-c2wzjbgb 179 5 2 2 CD cord-338895-c2wzjbgb 180 1 or or CC cord-338895-c2wzjbgb 180 2 d d NN cord-338895-c2wzjbgb 180 3 = = SYM cord-338895-c2wzjbgb 180 4 3 3 CD cord-338895-c2wzjbgb 180 5 are be VBP cord-338895-c2wzjbgb 180 6 usually usually RB cord-338895-c2wzjbgb 180 7 adopted adopt VBN cord-338895-c2wzjbgb 180 8 , , , cord-338895-c2wzjbgb 180 9 because because IN cord-338895-c2wzjbgb 180 10 they -PRON- PRP cord-338895-c2wzjbgb 180 11 allow allow VBP cord-338895-c2wzjbgb 180 12 a a DT cord-338895-c2wzjbgb 180 13 direct direct JJ cord-338895-c2wzjbgb 180 14 representation representation NN cord-338895-c2wzjbgb 180 15 . . . cord-338895-c2wzjbgb 181 1 The the DT cord-338895-c2wzjbgb 181 2 Shepard Shepard NNP cord-338895-c2wzjbgb 181 3 diagram diagram NN cord-338895-c2wzjbgb 181 4 compares compare VBZ cord-338895-c2wzjbgb 181 5 φ φ NN cord-338895-c2wzjbgb 181 6 i i NNP cord-338895-c2wzjbgb 181 7 j j NNP cord-338895-c2wzjbgb 181 8 and and CC cord-338895-c2wzjbgb 181 9 δ δ NNP cord-338895-c2wzjbgb 181 10 i i NNP cord-338895-c2wzjbgb 181 11 j j NNP cord-338895-c2wzjbgb 181 12 for for IN cord-338895-c2wzjbgb 181 13 a a DT cord-338895-c2wzjbgb 181 14 given give VBN cord-338895-c2wzjbgb 181 15 value value NN cord-338895-c2wzjbgb 181 16 of of IN cord-338895-c2wzjbgb 181 17 d. d. NNP cord-338895-c2wzjbgb 181 18 A a DT cord-338895-c2wzjbgb 181 19 narrow narrow JJ cord-338895-c2wzjbgb 181 20 scatter scatter NN cord-338895-c2wzjbgb 181 21 represents represent VBZ cord-338895-c2wzjbgb 181 22 a a DT cord-338895-c2wzjbgb 181 23 good good JJ cord-338895-c2wzjbgb 181 24 fit fit NN cord-338895-c2wzjbgb 181 25 between between IN cord-338895-c2wzjbgb 181 26 φ φ NNP cord-338895-c2wzjbgb 181 27 i i NNP cord-338895-c2wzjbgb 181 28 j j NNP cord-338895-c2wzjbgb 181 29 and and CC cord-338895-c2wzjbgb 181 30 δ δ NNP cord-338895-c2wzjbgb 181 31 i i NNP cord-338895-c2wzjbgb 181 32 j j NNP cord-338895-c2wzjbgb 181 33 . . . cord-338895-c2wzjbgb 182 1 Figures figure NNS cord-338895-c2wzjbgb 182 2 7 7 CD cord-338895-c2wzjbgb 182 3 and and CC cord-338895-c2wzjbgb 182 4 8 8 CD cord-338895-c2wzjbgb 182 5 depict depict VBP cord-338895-c2wzjbgb 182 6 the the DT cord-338895-c2wzjbgb 182 7 3D 3d JJ cord-338895-c2wzjbgb 182 8 MDS MDS NNP cord-338895-c2wzjbgb 182 9 maps map NNS cord-338895-c2wzjbgb 182 10 for for IN cord-338895-c2wzjbgb 182 11 d d NNP cord-338895-c2wzjbgb 182 12 t t NNP cord-338895-c2wzjbgb 182 13 , , , cord-338895-c2wzjbgb 182 14 y y NNP cord-338895-c2wzjbgb 182 15 C C NNP cord-338895-c2wzjbgb 182 16 i i NNP cord-338895-c2wzjbgb 182 17 j j NNP cord-338895-c2wzjbgb 182 18 and and CC cord-338895-c2wzjbgb 182 19 d d NNP cord-338895-c2wzjbgb 182 20 f f NNP cord-338895-c2wzjbgb 182 21 , , , cord-338895-c2wzjbgb 182 22 X X NNP cord-338895-c2wzjbgb 182 23 C C NNP cord-338895-c2wzjbgb 182 24 i i NNP cord-338895-c2wzjbgb 182 25 j j NNP cord-338895-c2wzjbgb 182 26 , , , cord-338895-c2wzjbgb 182 27 respectively respectively RB cord-338895-c2wzjbgb 182 28 , , , cord-338895-c2wzjbgb 182 29 for for IN cord-338895-c2wzjbgb 182 30 the the DT cord-338895-c2wzjbgb 182 31 period period NN cord-338895-c2wzjbgb 182 32 τ τ NN cord-338895-c2wzjbgb 182 33 . . . cord-338895-c2wzjbgb 183 1 As as IN cord-338895-c2wzjbgb 183 2 before before RB cord-338895-c2wzjbgb 183 3 , , , cord-338895-c2wzjbgb 183 4 the the DT cord-338895-c2wzjbgb 183 5 size size NN cord-338895-c2wzjbgb 183 6 of of IN cord-338895-c2wzjbgb 183 7 the the DT cord-338895-c2wzjbgb 183 8 dots dot NNS cord-338895-c2wzjbgb 183 9 is be VBZ cord-338895-c2wzjbgb 183 10 proportional proportional JJ cord-338895-c2wzjbgb 183 11 to to IN cord-338895-c2wzjbgb 183 12 the the DT cord-338895-c2wzjbgb 183 13 logarithm logarithm NN cord-338895-c2wzjbgb 183 14 of of IN cord-338895-c2wzjbgb 183 15 the the DT cord-338895-c2wzjbgb 183 16 number number NN cord-338895-c2wzjbgb 183 17 of of IN cord-338895-c2wzjbgb 183 18 infections infection NNS cord-338895-c2wzjbgb 183 19 ( ( -LRB- cord-338895-c2wzjbgb 183 20 i.e. i.e. FW cord-338895-c2wzjbgb 183 21 , , , cord-338895-c2wzjbgb 183 22 ln[y ln[y . cord-338895-c2wzjbgb 184 1 i i PRP cord-338895-c2wzjbgb 184 2 ( ( -LRB- cord-338895-c2wzjbgb 184 3 T T NNP cord-338895-c2wzjbgb 184 4 ) ) -RRB- cord-338895-c2wzjbgb 184 5 ] ] -RRB- cord-338895-c2wzjbgb 184 6 ) ) -RRB- cord-338895-c2wzjbgb 185 1 and and CC cord-338895-c2wzjbgb 185 2 the the DT cord-338895-c2wzjbgb 185 3 color color NN cord-338895-c2wzjbgb 185 4 is be VBZ cord-338895-c2wzjbgb 185 5 proportional proportional JJ cord-338895-c2wzjbgb 185 6 to to IN cord-338895-c2wzjbgb 185 7 the the DT cord-338895-c2wzjbgb 185 8 time time NN cord-338895-c2wzjbgb 185 9 between between IN cord-338895-c2wzjbgb 185 10 the the DT cord-338895-c2wzjbgb 185 11 first first JJ cord-338895-c2wzjbgb 185 12 reported report VBN cord-338895-c2wzjbgb 185 13 case case NN cord-338895-c2wzjbgb 185 14 in in IN cord-338895-c2wzjbgb 185 15 each each DT cord-338895-c2wzjbgb 185 16 country country NN cord-338895-c2wzjbgb 185 17 and and CC cord-338895-c2wzjbgb 185 18 T t NN cord-338895-c2wzjbgb 185 19 . . . cord-338895-c2wzjbgb 186 1 The the DT cord-338895-c2wzjbgb 186 2 clusters cluster NNS cord-338895-c2wzjbgb 186 3 are be VBP cord-338895-c2wzjbgb 186 4 the the DT cord-338895-c2wzjbgb 186 5 same same JJ cord-338895-c2wzjbgb 186 6 obtained obtain VBN cord-338895-c2wzjbgb 186 7 with with IN cord-338895-c2wzjbgb 186 8 the the DT cord-338895-c2wzjbgb 186 9 HC HC NNP cord-338895-c2wzjbgb 186 10 , , , cord-338895-c2wzjbgb 186 11 however however RB cord-338895-c2wzjbgb 186 12 , , , cord-338895-c2wzjbgb 186 13 for for IN cord-338895-c2wzjbgb 186 14 their -PRON- PRP$ cord-338895-c2wzjbgb 186 15 clear clear JJ cord-338895-c2wzjbgb 186 16 visualization visualization NN cord-338895-c2wzjbgb 186 17 we -PRON- PRP cord-338895-c2wzjbgb 186 18 need need VBP cord-338895-c2wzjbgb 186 19 to to TO cord-338895-c2wzjbgb 186 20 rotate rotate VB cord-338895-c2wzjbgb 186 21 the the DT cord-338895-c2wzjbgb 186 22 3D 3D NNP cord-338895-c2wzjbgb 186 23 maps map NNS cord-338895-c2wzjbgb 186 24 . . . cord-338895-c2wzjbgb 187 1 As as IN cord-338895-c2wzjbgb 187 2 for for IN cord-338895-c2wzjbgb 187 3 the the DT cord-338895-c2wzjbgb 187 4 HC HC NNP cord-338895-c2wzjbgb 187 5 we -PRON- PRP cord-338895-c2wzjbgb 187 6 verify verify VBP cord-338895-c2wzjbgb 187 7 that that IN cord-338895-c2wzjbgb 187 8 the the DT cord-338895-c2wzjbgb 187 9 time time NN cord-338895-c2wzjbgb 187 10 domain domain NN cord-338895-c2wzjbgb 187 11 approach approach NN cord-338895-c2wzjbgb 187 12 makes make VBZ cord-338895-c2wzjbgb 187 13 a a DT cord-338895-c2wzjbgb 187 14 better well JJR cord-338895-c2wzjbgb 187 15 distinction distinction NN cord-338895-c2wzjbgb 187 16 of of IN cord-338895-c2wzjbgb 187 17 the the DT cord-338895-c2wzjbgb 187 18 countries country NNS cord-338895-c2wzjbgb 187 19 with with IN cord-338895-c2wzjbgb 187 20 a a DT cord-338895-c2wzjbgb 187 21 larger large JJR cord-338895-c2wzjbgb 187 22 number number NN cord-338895-c2wzjbgb 187 23 of of IN cord-338895-c2wzjbgb 187 24 infections infection NNS cord-338895-c2wzjbgb 187 25 , , , cord-338895-c2wzjbgb 187 26 while while IN cord-338895-c2wzjbgb 187 27 the the DT cord-338895-c2wzjbgb 187 28 MDS MDS NNP cord-338895-c2wzjbgb 187 29 based base VBN cord-338895-c2wzjbgb 187 30 on on IN cord-338895-c2wzjbgb 187 31 the the DT cord-338895-c2wzjbgb 187 32 frequency frequency NN cord-338895-c2wzjbgb 187 33 domain domain NN cord-338895-c2wzjbgb 187 34 has have VBZ cord-338895-c2wzjbgb 187 35 a a DT cord-338895-c2wzjbgb 187 36 more more RBR cord-338895-c2wzjbgb 187 37 eclectic eclectic JJ cord-338895-c2wzjbgb 187 38 distribution distribution NN cord-338895-c2wzjbgb 187 39 , , , cord-338895-c2wzjbgb 187 40 that that RB cord-338895-c2wzjbgb 187 41 is be VBZ cord-338895-c2wzjbgb 187 42 with with IN cord-338895-c2wzjbgb 187 43 a a DT cord-338895-c2wzjbgb 187 44 larger large JJR cord-338895-c2wzjbgb 187 45 dispersion dispersion NN cord-338895-c2wzjbgb 187 46 , , , cord-338895-c2wzjbgb 187 47 and and CC cord-338895-c2wzjbgb 187 48 leaves leave VBZ cord-338895-c2wzjbgb 187 49 some some DT cord-338895-c2wzjbgb 187 50 room room NN cord-338895-c2wzjbgb 187 51 for for IN cord-338895-c2wzjbgb 187 52 distinguishing distinguish VBG cord-338895-c2wzjbgb 187 53 the the DT cord-338895-c2wzjbgb 187 54 countries country NNS cord-338895-c2wzjbgb 187 55 with with IN cord-338895-c2wzjbgb 187 56 a a DT cord-338895-c2wzjbgb 187 57 smaller small JJR cord-338895-c2wzjbgb 187 58 number number NN cord-338895-c2wzjbgb 187 59 of of IN cord-338895-c2wzjbgb 187 60 infections infection NNS cord-338895-c2wzjbgb 187 61 . . . cord-338895-c2wzjbgb 188 1 In in IN cord-338895-c2wzjbgb 188 2 both both DT cord-338895-c2wzjbgb 188 3 figures figure NNS cord-338895-c2wzjbgb 188 4 , , , cord-338895-c2wzjbgb 188 5 the the DT cord-338895-c2wzjbgb 188 6 countries country NNS cord-338895-c2wzjbgb 188 7 to to IN cord-338895-c2wzjbgb 188 8 the the DT cord-338895-c2wzjbgb 188 9 left left NN cord-338895-c2wzjbgb 188 10 ( ( -LRB- cord-338895-c2wzjbgb 188 11 right right NN cord-338895-c2wzjbgb 188 12 ) ) -RRB- cord-338895-c2wzjbgb 188 13 have have VB cord-338895-c2wzjbgb 188 14 a a DT cord-338895-c2wzjbgb 188 15 smaller small JJR cord-338895-c2wzjbgb 188 16 ( ( -LRB- cord-338895-c2wzjbgb 188 17 larger large JJR cord-338895-c2wzjbgb 188 18 ) ) -RRB- cord-338895-c2wzjbgb 188 19 number number NN cord-338895-c2wzjbgb 188 20 of of IN cord-338895-c2wzjbgb 188 21 infections infection NNS cord-338895-c2wzjbgb 188 22 and and CC cord-338895-c2wzjbgb 188 23 more more JJR cord-338895-c2wzjbgb 188 24 ( ( -LRB- cord-338895-c2wzjbgb 188 25 less less JJR cord-338895-c2wzjbgb 188 26 ) ) -RRB- cord-338895-c2wzjbgb 188 27 time time NN cord-338895-c2wzjbgb 188 28 elapsed elapse VBN cord-338895-c2wzjbgb 188 29 since since IN cord-338895-c2wzjbgb 188 30 their -PRON- PRP$ cord-338895-c2wzjbgb 188 31 first first JJ cord-338895-c2wzjbgb 188 32 case case NN cord-338895-c2wzjbgb 188 33 in in IN cord-338895-c2wzjbgb 188 34 each each DT cord-338895-c2wzjbgb 188 35 country country NN cord-338895-c2wzjbgb 188 36 . . . cord-338895-c2wzjbgb 189 1 when when WRB cord-338895-c2wzjbgb 189 2 varying vary VBG cord-338895-c2wzjbgb 189 3 time time NN cord-338895-c2wzjbgb 189 4 [ [ -LRB- cord-338895-c2wzjbgb 189 5 40 40 CD cord-338895-c2wzjbgb 189 6 , , , cord-338895-c2wzjbgb 189 7 [ [ -LRB- cord-338895-c2wzjbgb 189 8 45 45 CD cord-338895-c2wzjbgb 189 9 ] ] -RRB- cord-338895-c2wzjbgb 189 10 [ [ -LRB- cord-338895-c2wzjbgb 189 11 46 46 CD cord-338895-c2wzjbgb 189 12 ] ] -RRB- cord-338895-c2wzjbgb 190 1 [ [ -LRB- cord-338895-c2wzjbgb 190 2 47 47 CD cord-338895-c2wzjbgb 190 3 ] ] -RRB- cord-338895-c2wzjbgb 190 4 [ [ -LRB- cord-338895-c2wzjbgb 190 5 48 48 CD cord-338895-c2wzjbgb 190 6 ] ] -RRB- cord-338895-c2wzjbgb 190 7 . . . cord-338895-c2wzjbgb 191 1 Procrustes Procrustes NNP cord-338895-c2wzjbgb 191 2 is be VBZ cord-338895-c2wzjbgb 191 3 a a DT cord-338895-c2wzjbgb 191 4 statistical statistical JJ cord-338895-c2wzjbgb 191 5 method method NN cord-338895-c2wzjbgb 191 6 that that WDT cord-338895-c2wzjbgb 191 7 takes take VBZ cord-338895-c2wzjbgb 191 8 a a DT cord-338895-c2wzjbgb 191 9 collection collection NN cord-338895-c2wzjbgb 191 10 of of IN cord-338895-c2wzjbgb 191 11 shapes shape NNS cord-338895-c2wzjbgb 191 12 and and CC cord-338895-c2wzjbgb 191 13 transforms transform VBZ cord-338895-c2wzjbgb 191 14 them -PRON- PRP cord-338895-c2wzjbgb 191 15 ( ( -LRB- cord-338895-c2wzjbgb 191 16 using use VBG cord-338895-c2wzjbgb 191 17 translation translation NN cord-338895-c2wzjbgb 191 18 , , , cord-338895-c2wzjbgb 191 19 rotation rotation NN cord-338895-c2wzjbgb 191 20 , , , cord-338895-c2wzjbgb 191 21 and and CC cord-338895-c2wzjbgb 191 22 amplification amplification NN cord-338895-c2wzjbgb 191 23 / / SYM cord-338895-c2wzjbgb 191 24 reduction reduction NN cord-338895-c2wzjbgb 191 25 of of IN cord-338895-c2wzjbgb 191 26 size size NN cord-338895-c2wzjbgb 191 27 ) ) -RRB- cord-338895-c2wzjbgb 191 28 for for IN cord-338895-c2wzjbgb 191 29 maximum maximum JJ cord-338895-c2wzjbgb 191 30 superposition superposition NN cord-338895-c2wzjbgb 191 31 . . . cord-338895-c2wzjbgb 192 1 The the DT cord-338895-c2wzjbgb 192 2 comparison comparison NN cord-338895-c2wzjbgb 192 3 is be VBZ cord-338895-c2wzjbgb 192 4 performed perform VBN cord-338895-c2wzjbgb 192 5 for for IN cord-338895-c2wzjbgb 192 6 a a DT cord-338895-c2wzjbgb 192 7 shorter short JJR cord-338895-c2wzjbgb 192 8 period period NN cord-338895-c2wzjbgb 192 9 of of IN cord-338895-c2wzjbgb 192 10 time time NN cord-338895-c2wzjbgb 192 11 τ τ NN cord-338895-c2wzjbgb 192 12 from from IN cord-338895-c2wzjbgb 192 13 t t NN cord-338895-c2wzjbgb 192 14 = = SYM cord-338895-c2wzjbgb 192 15 40 40 CD cord-338895-c2wzjbgb 192 16 up up RB cord-338895-c2wzjbgb 192 17 to to IN cord-338895-c2wzjbgb 192 18 t t NN cord-338895-c2wzjbgb 193 1 = = SYM cord-338895-c2wzjbgb 193 2 T T NNP cord-338895-c2wzjbgb 193 3 , , , cord-338895-c2wzjbgb 193 4 so so IN cord-338895-c2wzjbgb 193 5 that that IN cord-338895-c2wzjbgb 193 6 there there EX cord-338895-c2wzjbgb 193 7 is be VBZ cord-338895-c2wzjbgb 193 8 significant significant JJ cord-338895-c2wzjbgb 193 9 non non AFX cord-338895-c2wzjbgb 193 10 null null JJ cord-338895-c2wzjbgb 193 11 data datum NNS cord-338895-c2wzjbgb 193 12 for for IN cord-338895-c2wzjbgb 193 13 the the DT cord-338895-c2wzjbgb 193 14 analysis analysis NN cord-338895-c2wzjbgb 193 15 . . . cord-338895-c2wzjbgb 194 1 Let let VB cord-338895-c2wzjbgb 194 2 y y NNP cord-338895-c2wzjbgb 194 3 c c NN cord-338895-c2wzjbgb 194 4 ( ( -LRB- cord-338895-c2wzjbgb 194 5 t t NNP cord-338895-c2wzjbgb 194 6 ) ) -RRB- cord-338895-c2wzjbgb 194 7 , , , cord-338895-c2wzjbgb 194 8 c c NN cord-338895-c2wzjbgb 194 9 = = SYM cord-338895-c2wzjbgb 194 10 1 1 CD cord-338895-c2wzjbgb 194 11 , , , cord-338895-c2wzjbgb 194 12 . . . cord-338895-c2wzjbgb 194 13 . . . cord-338895-c2wzjbgb 194 14 . . . cord-338895-c2wzjbgb 195 1 , , , cord-338895-c2wzjbgb 195 2 16 16 CD cord-338895-c2wzjbgb 195 3 , , , cord-338895-c2wzjbgb 195 4 denote denote VB cord-338895-c2wzjbgb 195 5 the the DT cord-338895-c2wzjbgb 195 6 data data NN cord-338895-c2wzjbgb 195 7 time time NN cord-338895-c2wzjbgb 195 8 series series NN cord-338895-c2wzjbgb 195 9 representative representative NN cord-338895-c2wzjbgb 195 10 of of IN cord-338895-c2wzjbgb 195 11 the the DT cord-338895-c2wzjbgb 195 12 countries country NNS cord-338895-c2wzjbgb 195 13 in in IN cord-338895-c2wzjbgb 195 14 C C NNP cord-338895-c2wzjbgb 195 15 for for IN cord-338895-c2wzjbgb 195 16 periods period NNS cord-338895-c2wzjbgb 195 17 of of IN cord-338895-c2wzjbgb 195 18 time time NN cord-338895-c2wzjbgb 195 19 starting start VBG cord-338895-c2wzjbgb 195 20 at at IN cord-338895-c2wzjbgb 195 21 t t NN cord-338895-c2wzjbgb 195 22 = = SYM cord-338895-c2wzjbgb 195 23 40 40 CD cord-338895-c2wzjbgb 195 24 and and CC cord-338895-c2wzjbgb 195 25 increasing increase VBG cord-338895-c2wzjbgb 195 26 up up RP cord-338895-c2wzjbgb 195 27 to to IN cord-338895-c2wzjbgb 195 28 k k NNP cord-338895-c2wzjbgb 195 29 ≤ ≤ NN cord-338895-c2wzjbgb 195 30 T T NNP cord-338895-c2wzjbgb 195 31 . . . cord-338895-c2wzjbgb 196 1 The the DT cord-338895-c2wzjbgb 196 2 individual individual JJ cord-338895-c2wzjbgb 196 3 3D 3d JJ cord-338895-c2wzjbgb 196 4 MDS MDS NNP cord-338895-c2wzjbgb 196 5 maps map NNS cord-338895-c2wzjbgb 196 6 ( ( -LRB- cord-338895-c2wzjbgb 196 7 one one CD cord-338895-c2wzjbgb 196 8 for for IN cord-338895-c2wzjbgb 196 9 each each DT cord-338895-c2wzjbgb 196 10 value value NN cord-338895-c2wzjbgb 196 11 of of IN cord-338895-c2wzjbgb 196 12 k k NN cord-338895-c2wzjbgb 196 13 ) ) -RRB- cord-338895-c2wzjbgb 196 14 are be VBP cord-338895-c2wzjbgb 196 15 generated generate VBN cord-338895-c2wzjbgb 196 16 using use VBG cord-338895-c2wzjbgb 196 17 the the DT cord-338895-c2wzjbgb 196 18 item item NN cord-338895-c2wzjbgb 196 19 - - HYPH cord-338895-c2wzjbgb 196 20 to to IN cord-338895-c2wzjbgb 196 21 - - HYPH cord-338895-c2wzjbgb 196 22 item item NN cord-338895-c2wzjbgb 196 23 dissimilarities dissimilarity NNS cord-338895-c2wzjbgb 196 24 d d NNP cord-338895-c2wzjbgb 196 25 t t NNP cord-338895-c2wzjbgb 196 26 , , , cord-338895-c2wzjbgb 196 27 y y NNP cord-338895-c2wzjbgb 196 28 C C NNP cord-338895-c2wzjbgb 196 29 i i NNP cord-338895-c2wzjbgb 196 30 j j NNP cord-338895-c2wzjbgb 196 31 and and CC cord-338895-c2wzjbgb 196 32 d d NNP cord-338895-c2wzjbgb 196 33 f f NNP cord-338895-c2wzjbgb 196 34 , , , cord-338895-c2wzjbgb 196 35 X X NNP cord-338895-c2wzjbgb 196 36 C C NNP cord-338895-c2wzjbgb 196 37 i i NNP cord-338895-c2wzjbgb 196 38 j j NNP cord-338895-c2wzjbgb 196 39 , , , cord-338895-c2wzjbgb 196 40 and and CC cord-338895-c2wzjbgb 196 41 processed process VBN cord-338895-c2wzjbgb 196 42 with with IN cord-338895-c2wzjbgb 196 43 Procrustes Procrustes NNPS cord-338895-c2wzjbgb 196 44 . . . cord-338895-c2wzjbgb 197 1 We -PRON- PRP cord-338895-c2wzjbgb 197 2 must must MD cord-338895-c2wzjbgb 197 3 note note VB cord-338895-c2wzjbgb 197 4 that that IN cord-338895-c2wzjbgb 197 5 we -PRON- PRP cord-338895-c2wzjbgb 197 6 are be VBP cord-338895-c2wzjbgb 197 7 now now RB cord-338895-c2wzjbgb 197 8 using use VBG cord-338895-c2wzjbgb 197 9 T T NNP cord-338895-c2wzjbgb 197 10 − − NNP cord-338895-c2wzjbgb 197 11 39 39 CD cord-338895-c2wzjbgb 197 12 matrices matrix NNS cord-338895-c2wzjbgb 197 13 Δ δ NN cord-338895-c2wzjbgb 197 14 of of IN cord-338895-c2wzjbgb 197 15 dimension dimension NN cord-338895-c2wzjbgb 197 16 16 16 CD cord-338895-c2wzjbgb 197 17 × × NNP cord-338895-c2wzjbgb 197 18 16 16 CD cord-338895-c2wzjbgb 197 19 . . . cord-338895-c2wzjbgb 198 1 Therefore therefore RB cord-338895-c2wzjbgb 198 2 , , , cord-338895-c2wzjbgb 198 3 the the DT cord-338895-c2wzjbgb 198 4 MDS MDS NNP cord-338895-c2wzjbgb 198 5 locus locus NN cord-338895-c2wzjbgb 198 6 produced produce VBN cord-338895-c2wzjbgb 198 7 for for IN cord-338895-c2wzjbgb 198 8 each each DT cord-338895-c2wzjbgb 198 9 k k NN cord-338895-c2wzjbgb 198 10 is be VBZ cord-338895-c2wzjbgb 198 11 not not RB cord-338895-c2wzjbgb 198 12 a a DT cord-338895-c2wzjbgb 198 13 magnification magnification NN cord-338895-c2wzjbgb 198 14 of of IN cord-338895-c2wzjbgb 198 15 the the DT cord-338895-c2wzjbgb 198 16 previous previous JJ cord-338895-c2wzjbgb 198 17 charts chart NNS cord-338895-c2wzjbgb 198 18 . . . cord-338895-c2wzjbgb 199 1 For for IN cord-338895-c2wzjbgb 199 2 each each DT cord-338895-c2wzjbgb 199 3 index index NN cord-338895-c2wzjbgb 199 4 , , , cord-338895-c2wzjbgb 199 5 the the DT cord-338895-c2wzjbgb 199 6 collection collection NN cord-338895-c2wzjbgb 199 7 of of IN cord-338895-c2wzjbgb 199 8 MDS MDS NNP cord-338895-c2wzjbgb 199 9 maps map NNS cord-338895-c2wzjbgb 199 10 yields yield VBZ cord-338895-c2wzjbgb 199 11 one one CD cord-338895-c2wzjbgb 199 12 global global JJ cord-338895-c2wzjbgb 199 13 chart chart NN cord-338895-c2wzjbgb 199 14 ( ( -LRB- cord-338895-c2wzjbgb 199 15 Figs fig NNS cord-338895-c2wzjbgb 199 16 . . . cord-338895-c2wzjbgb 200 1 10 10 CD cord-338895-c2wzjbgb 200 2 , , , cord-338895-c2wzjbgb 200 3 11 11 CD cord-338895-c2wzjbgb 200 4 , , , cord-338895-c2wzjbgb 200 5 respectively respectively RB cord-338895-c2wzjbgb 200 6 ) ) -RRB- cord-338895-c2wzjbgb 200 7 that that WDT cord-338895-c2wzjbgb 200 8 represents represent VBZ cord-338895-c2wzjbgb 200 9 world world NN cord-338895-c2wzjbgb 200 10 recent recent JJ cord-338895-c2wzjbgb 200 11 evolution evolution NN cord-338895-c2wzjbgb 200 12 of of IN cord-338895-c2wzjbgb 200 13 the the DT cord-338895-c2wzjbgb 200 14 COVID-19 covid-19 NN cord-338895-c2wzjbgb 200 15 . . . cord-338895-c2wzjbgb 201 1 We -PRON- PRP cord-338895-c2wzjbgb 201 2 verify verify VBP cord-338895-c2wzjbgb 201 3 different different JJ cord-338895-c2wzjbgb 201 4 behaviors behavior NNS cord-338895-c2wzjbgb 201 5 of of IN cord-338895-c2wzjbgb 201 6 the the DT cord-338895-c2wzjbgb 201 7 time time NN cord-338895-c2wzjbgb 201 8 and and CC cord-338895-c2wzjbgb 201 9 frequency frequency NN cord-338895-c2wzjbgb 201 10 domains domain NNS cord-338895-c2wzjbgb 201 11 MDS mds NN cord-338895-c2wzjbgb 201 12 loci locus NNS cord-338895-c2wzjbgb 201 13 being be VBG cord-338895-c2wzjbgb 201 14 , , , cord-338895-c2wzjbgb 201 15 apparently apparently RB cord-338895-c2wzjbgb 201 16 , , , cord-338895-c2wzjbgb 201 17 slightly slightly RB cord-338895-c2wzjbgb 201 18 more more JJR cord-338895-c2wzjbgb 201 19 representative representative NN cord-338895-c2wzjbgb 201 20 the the DT cord-338895-c2wzjbgb 201 21 first first JJ cord-338895-c2wzjbgb 201 22 . . . cord-338895-c2wzjbgb 202 1 In in IN cord-338895-c2wzjbgb 202 2 Figs Figs NNPS cord-338895-c2wzjbgb 202 3 . . . cord-338895-c2wzjbgb 203 1 12 12 CD cord-338895-c2wzjbgb 203 2 and and CC cord-338895-c2wzjbgb 203 3 13 13 CD cord-338895-c2wzjbgb 203 4 , , , cord-338895-c2wzjbgb 203 5 we -PRON- PRP cord-338895-c2wzjbgb 203 6 redraw redraw VBP cord-338895-c2wzjbgb 203 7 the the DT cord-338895-c2wzjbgb 203 8 MDS MDS NNP cord-338895-c2wzjbgb 203 9 charts chart NNS cord-338895-c2wzjbgb 203 10 of of IN cord-338895-c2wzjbgb 203 11 Figs fig NNS cord-338895-c2wzjbgb 203 12 . . . cord-338895-c2wzjbgb 204 1 7 7 CD cord-338895-c2wzjbgb 204 2 and and CC cord-338895-c2wzjbgb 204 3 8 8 CD cord-338895-c2wzjbgb 204 4 ( ( -LRB- cord-338895-c2wzjbgb 204 5 for for IN cord-338895-c2wzjbgb 204 6 the the DT cord-338895-c2wzjbgb 204 7 initial initial JJ cord-338895-c2wzjbgb 204 8 period period NN cord-338895-c2wzjbgb 204 9 of of IN cord-338895-c2wzjbgb 204 10 time time NN cord-338895-c2wzjbgb 204 11 τ τ NN cord-338895-c2wzjbgb 204 12 ) ) -RRB- cord-338895-c2wzjbgb 204 13 with with IN cord-338895-c2wzjbgb 204 14 a a DT cord-338895-c2wzjbgb 204 15 connection connection NN cord-338895-c2wzjbgb 204 16 between between IN cord-338895-c2wzjbgb 204 17 those those DT cord-338895-c2wzjbgb 204 18 countries country NNS cord-338895-c2wzjbgb 204 19 that that WDT cord-338895-c2wzjbgb 204 20 lie lie VBP cord-338895-c2wzjbgb 204 21 close close RB cord-338895-c2wzjbgb 204 22 to to IN cord-338895-c2wzjbgb 204 23 each each DT cord-338895-c2wzjbgb 204 24 other other JJ cord-338895-c2wzjbgb 204 25 in in IN cord-338895-c2wzjbgb 204 26 the the DT cord-338895-c2wzjbgb 204 27 MDS MDS NNP cord-338895-c2wzjbgb 204 28 locus locus NN cord-338895-c2wzjbgb 204 29 [ [ -LRB- cord-338895-c2wzjbgb 204 30 49 49 CD cord-338895-c2wzjbgb 204 31 ] ] -RRB- cord-338895-c2wzjbgb 204 32 . . . cord-338895-c2wzjbgb 205 1 Therefore therefore RB cord-338895-c2wzjbgb 205 2 , , , cord-338895-c2wzjbgb 205 3 the the DT cord-338895-c2wzjbgb 205 4 lines line NNS cord-338895-c2wzjbgb 205 5 do do VBP cord-338895-c2wzjbgb 205 6 not not RB cord-338895-c2wzjbgb 205 7 represent represent VB cord-338895-c2wzjbgb 205 8 clusters cluster NNS cord-338895-c2wzjbgb 205 9 , , , cord-338895-c2wzjbgb 205 10 and and CC cord-338895-c2wzjbgb 205 11 , , , cord-338895-c2wzjbgb 205 12 instead instead RB cord-338895-c2wzjbgb 205 13 they -PRON- PRP cord-338895-c2wzjbgb 205 14 indicate indicate VBP cord-338895-c2wzjbgb 205 15 that that IN cord-338895-c2wzjbgb 205 16 in in IN cord-338895-c2wzjbgb 205 17 the the DT cord-338895-c2wzjbgb 205 18 near near JJ cord-338895-c2wzjbgb 205 19 future future NN cord-338895-c2wzjbgb 205 20 the the DT cord-338895-c2wzjbgb 205 21 evolution evolution NN cord-338895-c2wzjbgb 205 22 of of IN cord-338895-c2wzjbgb 205 23 a a DT cord-338895-c2wzjbgb 205 24 given give VBN cord-338895-c2wzjbgb 205 25 country country NN cord-338895-c2wzjbgb 205 26 will will MD cord-338895-c2wzjbgb 205 27 probably probably RB cord-338895-c2wzjbgb 205 28 be be VB cord-338895-c2wzjbgb 205 29 similar similar JJ cord-338895-c2wzjbgb 205 30 ( ( -LRB- cord-338895-c2wzjbgb 205 31 in in IN cord-338895-c2wzjbgb 205 32 the the DT cord-338895-c2wzjbgb 205 33 sense sense NN cord-338895-c2wzjbgb 205 34 of of IN cord-338895-c2wzjbgb 205 35 the the DT cord-338895-c2wzjbgb 205 36 adopted adopt VBN cord-338895-c2wzjbgb 205 37 distances distance NNS cord-338895-c2wzjbgb 205 38 ) ) -RRB- cord-338895-c2wzjbgb 205 39 to to IN cord-338895-c2wzjbgb 205 40 the the DT cord-338895-c2wzjbgb 205 41 neighboring neighbor VBG cord-338895-c2wzjbgb 205 42 countries country NNS cord-338895-c2wzjbgb 205 43 . . . cord-338895-c2wzjbgb 206 1 We -PRON- PRP cord-338895-c2wzjbgb 206 2 observe observe VBP cord-338895-c2wzjbgb 206 3 also also RB cord-338895-c2wzjbgb 206 4 some some DT cord-338895-c2wzjbgb 206 5 discontinuities discontinuity NNS cord-338895-c2wzjbgb 206 6 in in IN cord-338895-c2wzjbgb 206 7 the the DT cord-338895-c2wzjbgb 206 8 lines line NNS cord-338895-c2wzjbgb 206 9 . . . cord-338895-c2wzjbgb 207 1 Again again RB cord-338895-c2wzjbgb 207 2 they -PRON- PRP cord-338895-c2wzjbgb 207 3 do do VBP cord-338895-c2wzjbgb 207 4 not not RB cord-338895-c2wzjbgb 207 5 represent represent VB cord-338895-c2wzjbgb 207 6 different different JJ cord-338895-c2wzjbgb 207 7 clusters cluster NNS cord-338895-c2wzjbgb 207 8 . . . cord-338895-c2wzjbgb 208 1 The the DT cord-338895-c2wzjbgb 208 2 discontinuities discontinuity NNS cord-338895-c2wzjbgb 208 3 simply simply RB cord-338895-c2wzjbgb 208 4 mean mean VBP cord-338895-c2wzjbgb 208 5 that that IN cord-338895-c2wzjbgb 208 6 some some DT cord-338895-c2wzjbgb 208 7 neighbor neighbor NN cord-338895-c2wzjbgb 208 8 is be VBZ cord-338895-c2wzjbgb 208 9 closer close JJR cord-338895-c2wzjbgb 208 10 than than IN cord-338895-c2wzjbgb 208 11 the the DT cord-338895-c2wzjbgb 208 12 other other JJ cord-338895-c2wzjbgb 208 13 and and CC cord-338895-c2wzjbgb 208 14 , , , cord-338895-c2wzjbgb 208 15 therefore therefore RB cord-338895-c2wzjbgb 208 16 , , , cord-338895-c2wzjbgb 208 17 it -PRON- PRP cord-338895-c2wzjbgb 208 18 is be VBZ cord-338895-c2wzjbgb 208 19 likely likely JJ cord-338895-c2wzjbgb 208 20 that that IN cord-338895-c2wzjbgb 208 21 its -PRON- PRP$ cord-338895-c2wzjbgb 208 22 evolution evolution NN cord-338895-c2wzjbgb 208 23 is be VBZ cord-338895-c2wzjbgb 208 24 closer close JJR cord-338895-c2wzjbgb 208 25 . . . cord-338895-c2wzjbgb 209 1 It -PRON- PRP cord-338895-c2wzjbgb 209 2 is be VBZ cord-338895-c2wzjbgb 209 3 written write VBN cord-338895-c2wzjbgb 209 4 ' ' `` cord-338895-c2wzjbgb 209 5 The the DT cord-338895-c2wzjbgb 209 6 future future NN cord-338895-c2wzjbgb 209 7 belongs belong VBZ cord-338895-c2wzjbgb 209 8 to to IN cord-338895-c2wzjbgb 209 9 God God NNP cord-338895-c2wzjbgb 209 10 , , , cord-338895-c2wzjbgb 209 11 and and CC cord-338895-c2wzjbgb 209 12 it -PRON- PRP cord-338895-c2wzjbgb 209 13 is be VBZ cord-338895-c2wzjbgb 209 14 only only RB cord-338895-c2wzjbgb 209 15 he -PRON- PRP cord-338895-c2wzjbgb 209 16 who who WP cord-338895-c2wzjbgb 209 17 reveals reveal VBZ cord-338895-c2wzjbgb 209 18 it -PRON- PRP cord-338895-c2wzjbgb 209 19 , , , cord-338895-c2wzjbgb 209 20 under under IN cord-338895-c2wzjbgb 209 21 extraordinary extraordinary JJ cord-338895-c2wzjbgb 209 22 circumstances circumstance NNS cord-338895-c2wzjbgb 209 23 ' ' '' cord-338895-c2wzjbgb 209 24 [ [ -LRB- cord-338895-c2wzjbgb 209 25 50 50 CD cord-338895-c2wzjbgb 209 26 ] ] -RRB- cord-338895-c2wzjbgb 209 27 . . . cord-338895-c2wzjbgb 210 1 To to IN cord-338895-c2wzjbgb 210 2 the the DT cord-338895-c2wzjbgb 210 3 authors author NNS cord-338895-c2wzjbgb 210 4 best good JJS cord-338895-c2wzjbgb 210 5 knowledge knowledge NN cord-338895-c2wzjbgb 210 6 , , , cord-338895-c2wzjbgb 210 7 the the DT cord-338895-c2wzjbgb 210 8 HC HC NNP cord-338895-c2wzjbgb 210 9 and and CC cord-338895-c2wzjbgb 210 10 MDS MDS NNP cord-338895-c2wzjbgb 210 11 techniques technique NNS cord-338895-c2wzjbgb 210 12 are be VBP cord-338895-c2wzjbgb 210 13 not not RB cord-338895-c2wzjbgb 210 14 designed design VBN cord-338895-c2wzjbgb 210 15 to to TO cord-338895-c2wzjbgb 210 16 make make VB cord-338895-c2wzjbgb 210 17 predictions prediction NNS cord-338895-c2wzjbgb 210 18 . . . cord-338895-c2wzjbgb 211 1 Indeed indeed RB cord-338895-c2wzjbgb 211 2 , , , cord-338895-c2wzjbgb 211 3 they -PRON- PRP cord-338895-c2wzjbgb 211 4 allow allow VBP cord-338895-c2wzjbgb 211 5 a a DT cord-338895-c2wzjbgb 211 6 better well JJR cord-338895-c2wzjbgb 211 7 interpretation interpretation NN cord-338895-c2wzjbgb 211 8 of of IN cord-338895-c2wzjbgb 211 9 the the DT cord-338895-c2wzjbgb 211 10 past past NN cord-338895-c2wzjbgb 211 11 and and CC cord-338895-c2wzjbgb 211 12 present present JJ cord-338895-c2wzjbgb 211 13 . . . cord-338895-c2wzjbgb 212 1 Nonetheless nonetheless RB cord-338895-c2wzjbgb 212 2 , , , cord-338895-c2wzjbgb 212 3 we -PRON- PRP cord-338895-c2wzjbgb 212 4 can can MD cord-338895-c2wzjbgb 212 5 take take VB cord-338895-c2wzjbgb 212 6 advantage advantage NN cord-338895-c2wzjbgb 212 7 of of IN cord-338895-c2wzjbgb 212 8 the the DT cord-338895-c2wzjbgb 212 9 MDS MDS NNP cord-338895-c2wzjbgb 212 10 computational computational JJ cord-338895-c2wzjbgb 212 11 visualization visualization NN cord-338895-c2wzjbgb 212 12 to to TO cord-338895-c2wzjbgb 212 13 trace trace VB cord-338895-c2wzjbgb 212 14 some some DT cord-338895-c2wzjbgb 212 15 similarities similarity NNS cord-338895-c2wzjbgb 212 16 between between IN cord-338895-c2wzjbgb 212 17 the the DT cord-338895-c2wzjbgb 212 18 items item NNS cord-338895-c2wzjbgb 212 19 represented represent VBN cord-338895-c2wzjbgb 212 20 in in IN cord-338895-c2wzjbgb 212 21 the the DT cord-338895-c2wzjbgb 212 22 loci locus NNS cord-338895-c2wzjbgb 212 23 . . . cord-338895-c2wzjbgb 213 1 From from IN cord-338895-c2wzjbgb 213 2 Figs fig NNS cord-338895-c2wzjbgb 213 3 . . . cord-338895-c2wzjbgb 214 1 10 10 CD cord-338895-c2wzjbgb 214 2 and and CC cord-338895-c2wzjbgb 214 3 11 11 CD cord-338895-c2wzjbgb 214 4 , , , cord-338895-c2wzjbgb 214 5 where where WRB cord-338895-c2wzjbgb 214 6 time time NN cord-338895-c2wzjbgb 214 7 is be VBZ cord-338895-c2wzjbgb 214 8 a a DT cord-338895-c2wzjbgb 214 9 parametric parametric JJ cord-338895-c2wzjbgb 214 10 variable variable NN cord-338895-c2wzjbgb 214 11 , , , cord-338895-c2wzjbgb 214 12 we -PRON- PRP cord-338895-c2wzjbgb 214 13 verify verify VBP cord-338895-c2wzjbgb 214 14 that that IN cord-338895-c2wzjbgb 214 15 we -PRON- PRP cord-338895-c2wzjbgb 214 16 do do VBP cord-338895-c2wzjbgb 214 17 not not RB cord-338895-c2wzjbgb 214 18 obtain obtain VB cord-338895-c2wzjbgb 214 19 our -PRON- PRP$ cord-338895-c2wzjbgb 214 20 intuitive intuitive JJ cord-338895-c2wzjbgb 214 21 feeling feeling NN cord-338895-c2wzjbgb 214 22 of of IN cord-338895-c2wzjbgb 214 23 time time NN cord-338895-c2wzjbgb 214 24 as as IN cord-338895-c2wzjbgb 214 25 a a DT cord-338895-c2wzjbgb 214 26 smooth smooth JJ cord-338895-c2wzjbgb 214 27 and and CC cord-338895-c2wzjbgb 214 28 continuous continuous JJ cord-338895-c2wzjbgb 214 29 variable variable NN cord-338895-c2wzjbgb 214 30 embedded embed VBN cord-338895-c2wzjbgb 214 31 and and CC cord-338895-c2wzjbgb 214 32 synchronizing synchronize VBG cord-338895-c2wzjbgb 214 33 all all DT cord-338895-c2wzjbgb 214 34 events event NNS cord-338895-c2wzjbgb 214 35 . . . cord-338895-c2wzjbgb 215 1 In in IN cord-338895-c2wzjbgb 215 2 fact fact NN cord-338895-c2wzjbgb 215 3 , , , cord-338895-c2wzjbgb 215 4 we -PRON- PRP cord-338895-c2wzjbgb 215 5 see see VBP cord-338895-c2wzjbgb 215 6 that that IN cord-338895-c2wzjbgb 215 7 the the DT cord-338895-c2wzjbgb 215 8 time time NN cord-338895-c2wzjbgb 215 9 instant instant JJ cord-338895-c2wzjbgb 215 10 for for IN cord-338895-c2wzjbgb 215 11 the the DT cord-338895-c2wzjbgb 215 12 beginning beginning NN cord-338895-c2wzjbgb 215 13 and and CC cord-338895-c2wzjbgb 215 14 end end NN cord-338895-c2wzjbgb 215 15 of of IN cord-338895-c2wzjbgb 215 16 the the DT cord-338895-c2wzjbgb 215 17 trajectories trajectory NNS cord-338895-c2wzjbgb 215 18 vary vary VBP cord-338895-c2wzjbgb 215 19 considerably considerably RB cord-338895-c2wzjbgb 215 20 from from IN cord-338895-c2wzjbgb 215 21 country country NN cord-338895-c2wzjbgb 215 22 to to IN cord-338895-c2wzjbgb 215 23 country country NN cord-338895-c2wzjbgb 215 24 . . . cord-338895-c2wzjbgb 216 1 Therefore therefore RB cord-338895-c2wzjbgb 216 2 , , , cord-338895-c2wzjbgb 216 3 if if IN cord-338895-c2wzjbgb 216 4 we -PRON- PRP cord-338895-c2wzjbgb 216 5 adopt adopt VBP cord-338895-c2wzjbgb 216 6 a a DT cord-338895-c2wzjbgb 216 7 critical critical JJ cord-338895-c2wzjbgb 216 8 view view NN cord-338895-c2wzjbgb 216 9 we -PRON- PRP cord-338895-c2wzjbgb 216 10 can can MD cord-338895-c2wzjbgb 216 11 interpret interpret VB cord-338895-c2wzjbgb 216 12 that that IN cord-338895-c2wzjbgb 216 13 the the DT cord-338895-c2wzjbgb 216 14 1-dimensional 1-dimensional JJ cord-338895-c2wzjbgb 216 15 time time NN cord-338895-c2wzjbgb 216 16 continuum continuum NN cord-338895-c2wzjbgb 216 17 ( ( -LRB- cord-338895-c2wzjbgb 216 18 if if IN cord-338895-c2wzjbgb 216 19 exists exist VBZ cord-338895-c2wzjbgb 216 20 ) ) -RRB- cord-338895-c2wzjbgb 216 21 is be VBZ cord-338895-c2wzjbgb 216 22 not not RB cord-338895-c2wzjbgb 216 23 adequately adequately RB cord-338895-c2wzjbgb 216 24 represented represent VBN cord-338895-c2wzjbgb 216 25 by by IN cord-338895-c2wzjbgb 216 26 the the DT cord-338895-c2wzjbgb 216 27 two two CD cord-338895-c2wzjbgb 216 28 technique technique NN cord-338895-c2wzjbgb 216 29 combination combination NN cord-338895-c2wzjbgb 216 30 ( ( -LRB- cord-338895-c2wzjbgb 216 31 i.e. i.e. FW cord-338895-c2wzjbgb 216 32 , , , cord-338895-c2wzjbgb 216 33 MDS MDS NNP cord-338895-c2wzjbgb 216 34 and and CC cord-338895-c2wzjbgb 216 35 Procrustes Procrustes NNP cord-338895-c2wzjbgb 216 36 ) ) -RRB- cord-338895-c2wzjbgb 216 37 . . . cord-338895-c2wzjbgb 217 1 However however RB cord-338895-c2wzjbgb 217 2 , , , cord-338895-c2wzjbgb 217 3 it -PRON- PRP cord-338895-c2wzjbgb 217 4 was be VBD cord-338895-c2wzjbgb 217 5 already already RB cord-338895-c2wzjbgb 217 6 noticed notice VBN cord-338895-c2wzjbgb 217 7 in in IN cord-338895-c2wzjbgb 217 8 previous previous JJ cord-338895-c2wzjbgb 217 9 studies study NNS cord-338895-c2wzjbgb 217 10 [ [ -LRB- cord-338895-c2wzjbgb 217 11 51 51 CD cord-338895-c2wzjbgb 217 12 , , , cord-338895-c2wzjbgb 217 13 52 52 CD cord-338895-c2wzjbgb 217 14 ] ] -RRB- cord-338895-c2wzjbgb 217 15 , , , cord-338895-c2wzjbgb 217 16 addressing address VBG cord-338895-c2wzjbgb 217 17 a a DT cord-338895-c2wzjbgb 217 18 distinct distinct JJ cord-338895-c2wzjbgb 217 19 phenomenon phenomenon NN cord-338895-c2wzjbgb 217 20 and and CC cord-338895-c2wzjbgb 217 21 applying apply VBG cord-338895-c2wzjbgb 217 22 only only RB cord-338895-c2wzjbgb 217 23 MDS MDS NNP cord-338895-c2wzjbgb 217 24 , , , cord-338895-c2wzjbgb 217 25 that that WDT cord-338895-c2wzjbgb 217 26 datasets dataset NNS cord-338895-c2wzjbgb 217 27 under under IN cord-338895-c2wzjbgb 217 28 the the DT cord-338895-c2wzjbgb 217 29 influence influence NN cord-338895-c2wzjbgb 217 30 of of IN cord-338895-c2wzjbgb 217 31 social social JJ cord-338895-c2wzjbgb 217 32 and and CC cord-338895-c2wzjbgb 217 33 human human JJ cord-338895-c2wzjbgb 217 34 factors factor NNS cord-338895-c2wzjbgb 217 35 phenomena phenomena VBP cord-338895-c2wzjbgb 217 36 exhibit exhibit VBP cord-338895-c2wzjbgb 217 37 a a DT cord-338895-c2wzjbgb 217 38 relativistic relativistic JJ cord-338895-c2wzjbgb 217 39 behavior behavior NN cord-338895-c2wzjbgb 217 40 and and CC cord-338895-c2wzjbgb 217 41 eventually eventually RB cord-338895-c2wzjbgb 217 42 different different JJ cord-338895-c2wzjbgb 217 43 velocities velocity NNS cord-338895-c2wzjbgb 217 44 . . . cord-338895-c2wzjbgb 218 1 Let let VB cord-338895-c2wzjbgb 218 2 us -PRON- PRP cord-338895-c2wzjbgb 218 3 name name VB cord-338895-c2wzjbgb 218 4 the the DT cord-338895-c2wzjbgb 218 5 ' ' `` cord-338895-c2wzjbgb 218 6 relativistic relativistic JJ cord-338895-c2wzjbgb 218 7 time time NN cord-338895-c2wzjbgb 218 8 ' ' '' cord-338895-c2wzjbgb 218 9 to to TO cord-338895-c2wzjbgb 218 10 make make VB cord-338895-c2wzjbgb 218 11 it -PRON- PRP cord-338895-c2wzjbgb 218 12 distinct distinct JJ cord-338895-c2wzjbgb 218 13 from from IN cord-338895-c2wzjbgb 218 14 the the DT cord-338895-c2wzjbgb 218 15 standard standard JJ cord-338895-c2wzjbgb 218 16 notion notion NN cord-338895-c2wzjbgb 218 17 of of IN cord-338895-c2wzjbgb 218 18 constant constant JJ cord-338895-c2wzjbgb 218 19 speed speed NN cord-338895-c2wzjbgb 218 20 physical physical JJ cord-338895-c2wzjbgb 218 21 time time NN cord-338895-c2wzjbgb 218 22 . . . cord-338895-c2wzjbgb 219 1 Let let VB cord-338895-c2wzjbgb 219 2 us -PRON- PRP cord-338895-c2wzjbgb 219 3 consider consider VB cord-338895-c2wzjbgb 219 4 the the DT cord-338895-c2wzjbgb 219 5 Canberra Canberra NNP cord-338895-c2wzjbgb 219 6 and and CC cord-338895-c2wzjbgb 219 7 Lorentzian lorentzian JJ cord-338895-c2wzjbgb 219 8 distances distance NNS cord-338895-c2wzjbgb 219 9 [ [ -LRB- cord-338895-c2wzjbgb 219 10 38 38 CD cord-338895-c2wzjbgb 219 11 ] ] -RRB- cord-338895-c2wzjbgb 219 12 to to TO cord-338895-c2wzjbgb 219 13 measure measure VB cord-338895-c2wzjbgb 219 14 the the DT cord-338895-c2wzjbgb 219 15 dissimilarity dissimilarity NN cord-338895-c2wzjbgb 219 16 between between IN cord-338895-c2wzjbgb 219 17 the the DT cord-338895-c2wzjbgb 219 18 pairsx pairsx NN cord-338895-c2wzjbgb 219 19 i i PRP cord-338895-c2wzjbgb 219 20 ( ( -LRB- cord-338895-c2wzjbgb 219 21 t t NNP cord-338895-c2wzjbgb 219 22 ) ) -RRB- cord-338895-c2wzjbgb 219 23 andx andx NNP cord-338895-c2wzjbgb 219 24 j j NNP cord-338895-c2wzjbgb 219 25 ( ( -LRB- cord-338895-c2wzjbgb 219 26 t t NNP cord-338895-c2wzjbgb 219 27 ) ) -RRB- cord-338895-c2wzjbgb 219 28 : : : cord-338895-c2wzjbgb 219 29 wherex wherex NNP cord-338895-c2wzjbgb 219 30 represents represent VBZ cord-338895-c2wzjbgb 219 31 the the DT cord-338895-c2wzjbgb 219 32 ith ith JJ cord-338895-c2wzjbgb 219 33 vector vector NN cord-338895-c2wzjbgb 219 34 of of IN cord-338895-c2wzjbgb 219 35 N n CD cord-338895-c2wzjbgb 219 36 consecutive consecutive JJ cord-338895-c2wzjbgb 219 37 values value NNS cord-338895-c2wzjbgb 219 38 of of IN cord-338895-c2wzjbgb 219 39 x(t x(t NNP cord-338895-c2wzjbgb 219 40 ) ) -RRB- cord-338895-c2wzjbgb 219 41 obtained obtain VBD cord-338895-c2wzjbgb 219 42 from from IN cord-338895-c2wzjbgb 219 43 non non JJ cord-338895-c2wzjbgb 219 44 - - JJ cord-338895-c2wzjbgb 219 45 overlapping overlapping JJ cord-338895-c2wzjbgb 219 46 time time NN cord-338895-c2wzjbgb 219 47 windows window NNS cord-338895-c2wzjbgb 219 48 . . . cord-338895-c2wzjbgb 220 1 Therefore therefore RB cord-338895-c2wzjbgb 220 2 , , , cord-338895-c2wzjbgb 220 3 the the DT cord-338895-c2wzjbgb 220 4 time time NN cord-338895-c2wzjbgb 220 5 series series NNP cord-338895-c2wzjbgb 220 6 is be VBZ cord-338895-c2wzjbgb 220 7 subdivided subdivide VBN cord-338895-c2wzjbgb 220 8 into into IN cord-338895-c2wzjbgb 220 9 identical identical JJ cord-338895-c2wzjbgb 220 10 periods period NNS cord-338895-c2wzjbgb 220 11 of of IN cord-338895-c2wzjbgb 220 12 time time NN cord-338895-c2wzjbgb 220 13 giving give VBG cord-338895-c2wzjbgb 220 14 rise rise NN cord-338895-c2wzjbgb 220 15 to to IN cord-338895-c2wzjbgb 220 16 R r NN cord-338895-c2wzjbgb 220 17 = = SYM cord-338895-c2wzjbgb 220 18 T t NN cord-338895-c2wzjbgb 220 19 /N /n NN cord-338895-c2wzjbgb 220 20 windows window NNS cord-338895-c2wzjbgb 220 21 , , , cord-338895-c2wzjbgb 220 22 where where WRB cord-338895-c2wzjbgb 220 23 · · NFP cord-338895-c2wzjbgb 220 24 denotes denote VBZ cord-338895-c2wzjbgb 220 25 the the DT cord-338895-c2wzjbgb 220 26 integer integ JJR cord-338895-c2wzjbgb 220 27 part part NN cord-338895-c2wzjbgb 220 28 of of IN cord-338895-c2wzjbgb 220 29 the the DT cord-338895-c2wzjbgb 220 30 argument argument NN cord-338895-c2wzjbgb 220 31 . . . cord-338895-c2wzjbgb 221 1 Obviously obviously RB cord-338895-c2wzjbgb 221 2 , , , cord-338895-c2wzjbgb 221 3 the the DT cord-338895-c2wzjbgb 221 4 larger large JJR cord-338895-c2wzjbgb 221 5 the the DT cord-338895-c2wzjbgb 221 6 width width NN cord-338895-c2wzjbgb 221 7 of of IN cord-338895-c2wzjbgb 221 8 the the DT cord-338895-c2wzjbgb 221 9 window window NN cord-338895-c2wzjbgb 221 10 the the DT cord-338895-c2wzjbgb 221 11 better well RBR cord-338895-c2wzjbgb 221 12 the the DT cord-338895-c2wzjbgb 221 13 filtering filtering NN cord-338895-c2wzjbgb 221 14 , , , cord-338895-c2wzjbgb 221 15 but but CC cord-338895-c2wzjbgb 221 16 the the DT cord-338895-c2wzjbgb 221 17 weaker weak JJR cord-338895-c2wzjbgb 221 18 the the DT cord-338895-c2wzjbgb 221 19 notion notion NN cord-338895-c2wzjbgb 221 20 of of IN cord-338895-c2wzjbgb 221 21 time time NN cord-338895-c2wzjbgb 221 22 ' ' `` cord-338895-c2wzjbgb 221 23 instant instant NN cord-338895-c2wzjbgb 221 24 ' ' '' cord-338895-c2wzjbgb 221 25 . . . cord-338895-c2wzjbgb 222 1 Now now RB cord-338895-c2wzjbgb 222 2 , , , cord-338895-c2wzjbgb 222 3 the the DT cord-338895-c2wzjbgb 222 4 MDS MDS NNP cord-338895-c2wzjbgb 222 5 has have VBZ cord-338895-c2wzjbgb 222 6 for for IN cord-338895-c2wzjbgb 222 7 input input NN cord-338895-c2wzjbgb 222 8 a a DT cord-338895-c2wzjbgb 222 9 matrix matrix NN cord-338895-c2wzjbgb 222 10 Δ δ NN cord-338895-c2wzjbgb 222 11 of of IN cord-338895-c2wzjbgb 222 12 dimension dimension NN cord-338895-c2wzjbgb 222 13 R r NN cord-338895-c2wzjbgb 222 14 × × NN cord-338895-c2wzjbgb 222 15 R r NN cord-338895-c2wzjbgb 222 16 and and CC cord-338895-c2wzjbgb 222 17 produces produce VBZ cord-338895-c2wzjbgb 222 18 a a DT cord-338895-c2wzjbgb 222 19 single single JJ cord-338895-c2wzjbgb 222 20 locus locus NN cord-338895-c2wzjbgb 222 21 that that WDT cord-338895-c2wzjbgb 222 22 compares compare VBZ cord-338895-c2wzjbgb 222 23 the the DT cord-338895-c2wzjbgb 222 24 set set NN cord-338895-c2wzjbgb 222 25 of of IN cord-338895-c2wzjbgb 222 26 N N NNP cord-338895-c2wzjbgb 222 27 -dimensional -dimensional JJ cord-338895-c2wzjbgb 222 28 R r NN cord-338895-c2wzjbgb 222 29 vectors vector NNS cord-338895-c2wzjbgb 222 30 , , , cord-338895-c2wzjbgb 222 31 corresponding correspond VBG cord-338895-c2wzjbgb 222 32 to to IN cord-338895-c2wzjbgb 222 33 the the DT cord-338895-c2wzjbgb 222 34 different different JJ cord-338895-c2wzjbgb 222 35 time time NN cord-338895-c2wzjbgb 222 36 windows window NNS cord-338895-c2wzjbgb 222 37 . . . cord-338895-c2wzjbgb 223 1 The the DT cord-338895-c2wzjbgb 223 2 MDS MDS NNP cord-338895-c2wzjbgb 223 3 with with IN cord-338895-c2wzjbgb 223 4 MATLAB MATLAB NNP cord-338895-c2wzjbgb 223 5 command command NN cord-338895-c2wzjbgb 223 6 cmdscale cmdscale NN cord-338895-c2wzjbgb 223 7 was be VBD cord-338895-c2wzjbgb 223 8 adopted adopt VBN cord-338895-c2wzjbgb 223 9 . . . cord-338895-c2wzjbgb 224 1 We -PRON- PRP cord-338895-c2wzjbgb 224 2 verify verify VBP cord-338895-c2wzjbgb 224 3 again again RB cord-338895-c2wzjbgb 224 4 the the DT cord-338895-c2wzjbgb 224 5 emergence emergence NN cord-338895-c2wzjbgb 224 6 of of IN cord-338895-c2wzjbgb 224 7 areas area NNS cord-338895-c2wzjbgb 224 8 involving involve VBG cord-338895-c2wzjbgb 224 9 a a DT cord-338895-c2wzjbgb 224 10 large large JJ cord-338895-c2wzjbgb 224 11 variability variability NN cord-338895-c2wzjbgb 224 12 , , , cord-338895-c2wzjbgb 224 13 coincident coincident JJ cord-338895-c2wzjbgb 224 14 with with IN cord-338895-c2wzjbgb 224 15 large large JJ cord-338895-c2wzjbgb 224 16 transients transient NNS cord-338895-c2wzjbgb 224 17 , , , cord-338895-c2wzjbgb 224 18 and and CC cord-338895-c2wzjbgb 224 19 zones zone NNS cord-338895-c2wzjbgb 224 20 with with IN cord-338895-c2wzjbgb 224 21 a a DT cord-338895-c2wzjbgb 224 22 smoother smooth JJR cord-338895-c2wzjbgb 224 23 evolution evolution NN cord-338895-c2wzjbgb 224 24 , , , cord-338895-c2wzjbgb 224 25 corresponding correspond VBG cord-338895-c2wzjbgb 224 26 to to IN cord-338895-c2wzjbgb 224 27 a a DT cord-338895-c2wzjbgb 224 28 continuous continuous JJ cord-338895-c2wzjbgb 224 29 dynamics dynamic NNS cord-338895-c2wzjbgb 224 30 . . . cord-338895-c2wzjbgb 225 1 In in IN cord-338895-c2wzjbgb 225 2 both both DT cord-338895-c2wzjbgb 225 3 cases case NNS cord-338895-c2wzjbgb 225 4 we -PRON- PRP cord-338895-c2wzjbgb 225 5 observe observe VBP cord-338895-c2wzjbgb 225 6 clearly clearly RB cord-338895-c2wzjbgb 225 7 four four CD cord-338895-c2wzjbgb 225 8 phases phase NNS cord-338895-c2wzjbgb 225 9 : : : cord-338895-c2wzjbgb 225 10 ( ( -LRB- cord-338895-c2wzjbgb 225 11 i i NN cord-338895-c2wzjbgb 225 12 ) ) -RRB- cord-338895-c2wzjbgb 226 1 an an DT cord-338895-c2wzjbgb 226 2 initial initial JJ cord-338895-c2wzjbgb 226 3 transient transient NN cord-338895-c2wzjbgb 226 4 , , , cord-338895-c2wzjbgb 226 5 ( ( -LRB- cord-338895-c2wzjbgb 226 6 ii ii NN cord-338895-c2wzjbgb 226 7 ) ) -RRB- cord-338895-c2wzjbgb 226 8 a a DT cord-338895-c2wzjbgb 226 9 fast fast JJ cord-338895-c2wzjbgb 226 10 progress progress NN cord-338895-c2wzjbgb 226 11 up up IN cord-338895-c2wzjbgb 226 12 to to IN cord-338895-c2wzjbgb 226 13 a a DT cord-338895-c2wzjbgb 226 14 peak peak NN cord-338895-c2wzjbgb 226 15 , , , cord-338895-c2wzjbgb 226 16 ( ( -LRB- cord-338895-c2wzjbgb 226 17 iii iii NN cord-338895-c2wzjbgb 226 18 ) ) -RRB- cord-338895-c2wzjbgb 227 1 a a DT cord-338895-c2wzjbgb 227 2 return return NN cord-338895-c2wzjbgb 227 3 back back RB cord-338895-c2wzjbgb 227 4 ( ( -LRB- cord-338895-c2wzjbgb 228 1 but but CC cord-338895-c2wzjbgb 228 2 not not RB cord-338895-c2wzjbgb 228 3 exactly exactly RB cord-338895-c2wzjbgb 228 4 to to IN cord-338895-c2wzjbgb 228 5 the the DT cord-338895-c2wzjbgb 228 6 initial initial JJ cord-338895-c2wzjbgb 228 7 state state NN cord-338895-c2wzjbgb 228 8 ) ) -RRB- cord-338895-c2wzjbgb 229 1 , , , cord-338895-c2wzjbgb 230 1 and and CC cord-338895-c2wzjbgb 230 2 ( ( -LRB- cord-338895-c2wzjbgb 230 3 iv iv LS cord-338895-c2wzjbgb 230 4 ) ) -RRB- cord-338895-c2wzjbgb 230 5 the the DT cord-338895-c2wzjbgb 230 6 emergence emergence NN cord-338895-c2wzjbgb 230 7 of of IN cord-338895-c2wzjbgb 230 8 a a DT cord-338895-c2wzjbgb 230 9 new new JJ cord-338895-c2wzjbgb 230 10 , , , cord-338895-c2wzjbgb 230 11 unclear unclear JJ cord-338895-c2wzjbgb 230 12 , , , cord-338895-c2wzjbgb 230 13 second second JJ cord-338895-c2wzjbgb 230 14 wave wave NN cord-338895-c2wzjbgb 230 15 . . . cord-338895-c2wzjbgb 231 1 As as IN cord-338895-c2wzjbgb 231 2 usual usual JJ cord-338895-c2wzjbgb 231 3 with with IN cord-338895-c2wzjbgb 231 4 the the DT cord-338895-c2wzjbgb 231 5 MDS MDS NNP cord-338895-c2wzjbgb 231 6 technique technique NN cord-338895-c2wzjbgb 231 7 the the DT cord-338895-c2wzjbgb 231 8 distinct distinct JJ cord-338895-c2wzjbgb 231 9 measures measure NNS cord-338895-c2wzjbgb 231 10 highlight highlight VBP cord-338895-c2wzjbgb 231 11 different different JJ cord-338895-c2wzjbgb 231 12 aspects aspect NNS cord-338895-c2wzjbgb 231 13 but but CC cord-338895-c2wzjbgb 231 14 the the DT cord-338895-c2wzjbgb 231 15 overall overall JJ cord-338895-c2wzjbgb 231 16 conclusions conclusion NNS cord-338895-c2wzjbgb 231 17 are be VBP cord-338895-c2wzjbgb 231 18 similar similar JJ cord-338895-c2wzjbgb 231 19 . . . cord-338895-c2wzjbgb 232 1 For for IN cord-338895-c2wzjbgb 232 2 estimating estimate VBG cord-338895-c2wzjbgb 232 3 future future JJ cord-338895-c2wzjbgb 232 4 outcomes outcome NNS cord-338895-c2wzjbgb 232 5 we -PRON- PRP cord-338895-c2wzjbgb 232 6 now now RB cord-338895-c2wzjbgb 232 7 propose propose VBP cord-338895-c2wzjbgb 232 8 a a DT cord-338895-c2wzjbgb 232 9 technique technique NN cord-338895-c2wzjbgb 232 10 embedding embed VBG cord-338895-c2wzjbgb 232 11 the the DT cord-338895-c2wzjbgb 232 12 trendline trendline NN cord-338895-c2wzjbgb 232 13 and and CC cord-338895-c2wzjbgb 232 14 the the DT cord-338895-c2wzjbgb 232 15 MDS MDS NNP cord-338895-c2wzjbgb 232 16 datadriven datadriven VBN cord-338895-c2wzjbgb 232 17 techniques technique NNS cord-338895-c2wzjbgb 232 18 for for IN cord-338895-c2wzjbgb 232 19 estimating estimate VBG cord-338895-c2wzjbgb 232 20 the the DT cord-338895-c2wzjbgb 232 21 evolution evolution NN cord-338895-c2wzjbgb 232 22 . . . cord-338895-c2wzjbgb 233 1 In in IN cord-338895-c2wzjbgb 233 2 what what WP cord-338895-c2wzjbgb 233 3 follows follow VBZ cord-338895-c2wzjbgb 233 4 we -PRON- PRP cord-338895-c2wzjbgb 233 5 adopt adopt VBP cord-338895-c2wzjbgb 233 6 the the DT cord-338895-c2wzjbgb 233 7 case case NN cord-338895-c2wzjbgb 233 8 of of IN cord-338895-c2wzjbgb 233 9 Italy Italy NNP cord-338895-c2wzjbgb 233 10 ( ( -LRB- cord-338895-c2wzjbgb 233 11 i i NN cord-338895-c2wzjbgb 233 12 = = SYM cord-338895-c2wzjbgb 233 13 36 36 CD cord-338895-c2wzjbgb 233 14 ) ) -RRB- cord-338895-c2wzjbgb 233 15 as as IN cord-338895-c2wzjbgb 233 16 our -PRON- PRP$ cord-338895-c2wzjbgb 233 17 test test NN cord-338895-c2wzjbgb 233 18 bench bench NN cord-338895-c2wzjbgb 233 19 and and CC cord-338895-c2wzjbgb 233 20 we -PRON- PRP cord-338895-c2wzjbgb 233 21 shall shall MD cord-338895-c2wzjbgb 233 22 tackle tackle VB cord-338895-c2wzjbgb 233 23 the the DT cord-338895-c2wzjbgb 233 24 values value NNS cord-338895-c2wzjbgb 233 25 of of IN cord-338895-c2wzjbgb 233 26 the the DT cord-338895-c2wzjbgb 233 27 number number NN cord-338895-c2wzjbgb 233 28 of of IN cord-338895-c2wzjbgb 233 29 daily daily JJ cord-338895-c2wzjbgb 233 30 infections infection NNS cord-338895-c2wzjbgb 234 1 x x LS cord-338895-c2wzjbgb 234 2 i i PRP cord-338895-c2wzjbgb 234 3 ( ( -LRB- cord-338895-c2wzjbgb 234 4 t t NN cord-338895-c2wzjbgb 234 5 ) ) -RRB- cord-338895-c2wzjbgb 234 6 . . . cord-338895-c2wzjbgb 235 1 The the DT cord-338895-c2wzjbgb 235 2 main main JJ cord-338895-c2wzjbgb 235 3 idea idea NN cord-338895-c2wzjbgb 235 4 is be VBZ cord-338895-c2wzjbgb 235 5 to to TO cord-338895-c2wzjbgb 235 6 fit fit VB cord-338895-c2wzjbgb 235 7 a a DT cord-338895-c2wzjbgb 235 8 set set NN cord-338895-c2wzjbgb 235 9 of of IN cord-338895-c2wzjbgb 235 10 trendlines trendline NNS cord-338895-c2wzjbgb 235 11 to to IN cord-338895-c2wzjbgb 235 12 the the DT cord-338895-c2wzjbgb 235 13 available available JJ cord-338895-c2wzjbgb 235 14 data datum NNS cord-338895-c2wzjbgb 235 15 and and CC cord-338895-c2wzjbgb 235 16 , , , cord-338895-c2wzjbgb 235 17 based base VBN cord-338895-c2wzjbgb 235 18 on on IN cord-338895-c2wzjbgb 235 19 them -PRON- PRP cord-338895-c2wzjbgb 235 20 , , , cord-338895-c2wzjbgb 235 21 to to TO cord-338895-c2wzjbgb 235 22 extrapolate extrapolate VB cord-338895-c2wzjbgb 235 23 the the DT cord-338895-c2wzjbgb 235 24 future future JJ cord-338895-c2wzjbgb 235 25 behavior behavior NN cord-338895-c2wzjbgb 235 26 . . . cord-338895-c2wzjbgb 236 1 In in IN cord-338895-c2wzjbgb 236 2 a a DT cord-338895-c2wzjbgb 236 3 second second JJ cord-338895-c2wzjbgb 236 4 phase phase NN cord-338895-c2wzjbgb 236 5 we -PRON- PRP cord-338895-c2wzjbgb 236 6 adopt adopt VBP cord-338895-c2wzjbgb 236 7 MDS MDS NNP cord-338895-c2wzjbgb 236 8 to to TO cord-338895-c2wzjbgb 236 9 compare compare VB cord-338895-c2wzjbgb 236 10 the the DT cord-338895-c2wzjbgb 236 11 real real JJ cord-338895-c2wzjbgb 236 12 - - HYPH cord-338895-c2wzjbgb 236 13 world world NN cord-338895-c2wzjbgb 236 14 data datum NNS cord-338895-c2wzjbgb 236 15 and and CC cord-338895-c2wzjbgb 236 16 the the DT cord-338895-c2wzjbgb 236 17 estimations estimation NNS cord-338895-c2wzjbgb 236 18 provided provide VBN cord-338895-c2wzjbgb 236 19 by by IN cord-338895-c2wzjbgb 236 20 the the DT cord-338895-c2wzjbgb 236 21 trendlines trendline NNS cord-338895-c2wzjbgb 236 22 . . . cord-338895-c2wzjbgb 237 1 We -PRON- PRP cord-338895-c2wzjbgb 237 2 consider consider VBP cord-338895-c2wzjbgb 237 3 four four CD cord-338895-c2wzjbgb 237 4 models model NNS cord-338895-c2wzjbgb 237 5 , , . cord-338895-c2wzjbgb 238 1 namely namely RB cord-338895-c2wzjbgb 238 2 the the DT cord-338895-c2wzjbgb 238 3 ' ' `` cord-338895-c2wzjbgb 238 4 Hoerl Hoerl NNP cord-338895-c2wzjbgb 238 5 ' ' '' cord-338895-c2wzjbgb 238 6 , , , cord-338895-c2wzjbgb 238 7 ' ' '' cord-338895-c2wzjbgb 238 8 Reciprocal reciprocal JJ cord-338895-c2wzjbgb 238 9 quadratic quadratic NN cord-338895-c2wzjbgb 238 10 ' ' '' cord-338895-c2wzjbgb 238 11 , , , cord-338895-c2wzjbgb 238 12 ' ' `` cord-338895-c2wzjbgb 238 13 Gaussian Gaussian NNP cord-338895-c2wzjbgb 238 14 ' ' '' cord-338895-c2wzjbgb 238 15 and and CC cord-338895-c2wzjbgb 238 16 ' ' `` cord-338895-c2wzjbgb 238 17 Vapor vapor NN cord-338895-c2wzjbgb 238 18 ' ' '' cord-338895-c2wzjbgb 238 19 given give VBN cord-338895-c2wzjbgb 238 20 by by IN cord-338895-c2wzjbgb 238 21 : : : cord-338895-c2wzjbgb 238 22 respectively respectively RB cord-338895-c2wzjbgb 238 23 , , , cord-338895-c2wzjbgb 238 24 where where WRB cord-338895-c2wzjbgb 238 25 a a DT cord-338895-c2wzjbgb 238 26 , , , cord-338895-c2wzjbgb 238 27 b b NN cord-338895-c2wzjbgb 238 28 , , , cord-338895-c2wzjbgb 238 29 c c NN cord-338895-c2wzjbgb 238 30 ∈ ∈ NN cord-338895-c2wzjbgb 238 31 R r NN cord-338895-c2wzjbgb 238 32 are be VBP cord-338895-c2wzjbgb 238 33 parameters parameter NNS cord-338895-c2wzjbgb 238 34 and and CC cord-338895-c2wzjbgb 238 35 t t NN cord-338895-c2wzjbgb 238 36 ∈ ∈ NN cord-338895-c2wzjbgb 238 37 τ τ NN cord-338895-c2wzjbgb 238 38 . . . cord-338895-c2wzjbgb 239 1 We -PRON- PRP cord-338895-c2wzjbgb 239 2 emphasize emphasize VBP cord-338895-c2wzjbgb 239 3 again again RB cord-338895-c2wzjbgb 239 4 that that IN cord-338895-c2wzjbgb 239 5 these these DT cord-338895-c2wzjbgb 239 6 models model NNS cord-338895-c2wzjbgb 239 7 have have VBP cord-338895-c2wzjbgb 239 8 no no DT cord-338895-c2wzjbgb 239 9 specific specific JJ cord-338895-c2wzjbgb 239 10 meaning meaning NN cord-338895-c2wzjbgb 239 11 and and CC cord-338895-c2wzjbgb 239 12 are be VBP cord-338895-c2wzjbgb 239 13 just just RB cord-338895-c2wzjbgb 239 14 some some DT cord-338895-c2wzjbgb 239 15 functions function NNS cord-338895-c2wzjbgb 239 16 that that WDT cord-338895-c2wzjbgb 239 17 fit fit VBP cord-338895-c2wzjbgb 239 18 adequately adequately RB cord-338895-c2wzjbgb 239 19 the the DT cord-338895-c2wzjbgb 239 20 available available JJ cord-338895-c2wzjbgb 239 21 data datum NNS cord-338895-c2wzjbgb 239 22 . . . cord-338895-c2wzjbgb 240 1 In in IN cord-338895-c2wzjbgb 240 2 fact fact NN cord-338895-c2wzjbgb 240 3 , , , cord-338895-c2wzjbgb 240 4 the the DT cord-338895-c2wzjbgb 240 5 proposed propose VBN cord-338895-c2wzjbgb 240 6 heuristic heuristic JJ cord-338895-c2wzjbgb 240 7 models model NNS cord-338895-c2wzjbgb 240 8 follows follow VBZ cord-338895-c2wzjbgb 240 9 the the DT cord-338895-c2wzjbgb 240 10 common common JJ cord-338895-c2wzjbgb 240 11 sense sense NN cord-338895-c2wzjbgb 240 12 that that IN cord-338895-c2wzjbgb 240 13 number number NN cord-338895-c2wzjbgb 240 14 of of IN cord-338895-c2wzjbgb 240 15 infections infection NNS cord-338895-c2wzjbgb 240 16 will will MD cord-338895-c2wzjbgb 240 17 diminish diminish VB cord-338895-c2wzjbgb 240 18 in in IN cord-338895-c2wzjbgb 240 19 the the DT cord-338895-c2wzjbgb 240 20 future future NN cord-338895-c2wzjbgb 240 21 . . . cord-338895-c2wzjbgb 241 1 However however RB cord-338895-c2wzjbgb 241 2 , , , cord-338895-c2wzjbgb 241 3 these these DT cord-338895-c2wzjbgb 241 4 trendlines trendline NNS cord-338895-c2wzjbgb 241 5 are be VBP cord-338895-c2wzjbgb 241 6 just just RB cord-338895-c2wzjbgb 241 7 for for IN cord-338895-c2wzjbgb 241 8 estimating estimate VBG cord-338895-c2wzjbgb 241 9 the the DT cord-338895-c2wzjbgb 241 10 near near JJ cord-338895-c2wzjbgb 241 11 future future NN cord-338895-c2wzjbgb 241 12 and and CC cord-338895-c2wzjbgb 241 13 we -PRON- PRP cord-338895-c2wzjbgb 241 14 shall shall MD cord-338895-c2wzjbgb 241 15 consider consider VB cord-338895-c2wzjbgb 241 16 M M NNP cord-338895-c2wzjbgb 241 17 1 1 CD cord-338895-c2wzjbgb 241 18 and and CC cord-338895-c2wzjbgb 241 19 M M NNP cord-338895-c2wzjbgb 241 20 3 3 CD cord-338895-c2wzjbgb 241 21 as as IN cord-338895-c2wzjbgb 241 22 representing represent VBG cord-338895-c2wzjbgb 241 23 a a DT cord-338895-c2wzjbgb 241 24 ' ' `` cord-338895-c2wzjbgb 241 25 optimistic optimistic JJ cord-338895-c2wzjbgb 241 26 ' ' '' cord-338895-c2wzjbgb 241 27 scenarios scenario NNS cord-338895-c2wzjbgb 241 28 , , , cord-338895-c2wzjbgb 241 29 while while IN cord-338895-c2wzjbgb 241 30 M M NNP cord-338895-c2wzjbgb 241 31 2 2 CD cord-338895-c2wzjbgb 241 32 and and CC cord-338895-c2wzjbgb 241 33 M M NNP cord-338895-c2wzjbgb 241 34 4 4 CD cord-338895-c2wzjbgb 241 35 stand stand VBP cord-338895-c2wzjbgb 241 36 for for IN cord-338895-c2wzjbgb 241 37 ' ' `` cord-338895-c2wzjbgb 241 38 pessimistic pessimistic JJ cord-338895-c2wzjbgb 241 39 ' ' '' cord-338895-c2wzjbgb 241 40 future future JJ cord-338895-c2wzjbgb 241 41 outcomes outcome NNS cord-338895-c2wzjbgb 241 42 . . . cord-338895-c2wzjbgb 242 1 Moreover moreover RB cord-338895-c2wzjbgb 242 2 , , , cord-338895-c2wzjbgb 242 3 models model NNS cord-338895-c2wzjbgb 242 4 M M NNP cord-338895-c2wzjbgb 242 5 1 1 CD cord-338895-c2wzjbgb 242 6 , , , cord-338895-c2wzjbgb 242 7 M M NNP cord-338895-c2wzjbgb 242 8 2 2 CD cord-338895-c2wzjbgb 242 9 and and CC cord-338895-c2wzjbgb 242 10 M M NNP cord-338895-c2wzjbgb 242 11 4 4 CD cord-338895-c2wzjbgb 242 12 have have VBP cord-338895-c2wzjbgb 242 13 an an DT cord-338895-c2wzjbgb 242 14 asymmetric asymmetric JJ cord-338895-c2wzjbgb 242 15 evolution evolution NN cord-338895-c2wzjbgb 242 16 about about IN cord-338895-c2wzjbgb 242 17 the the DT cord-338895-c2wzjbgb 242 18 peak peak NN cord-338895-c2wzjbgb 242 19 , , , cord-338895-c2wzjbgb 242 20 while while IN cord-338895-c2wzjbgb 242 21 M M NNP cord-338895-c2wzjbgb 242 22 3 3 CD cord-338895-c2wzjbgb 242 23 con- con- NN cord-338895-c2wzjbgb 243 1 Figure figure NN cord-338895-c2wzjbgb 243 2 15 15 CD cord-338895-c2wzjbgb 243 3 represents represent VBZ cord-338895-c2wzjbgb 243 4 the the DT cord-338895-c2wzjbgb 243 5 curve curve NN cord-338895-c2wzjbgb 243 6 fitting fitting NN cord-338895-c2wzjbgb 243 7 for for IN cord-338895-c2wzjbgb 243 8 the the DT cord-338895-c2wzjbgb 243 9 period period NN cord-338895-c2wzjbgb 243 10 τ τ NN cord-338895-c2wzjbgb 243 11 and and CC cord-338895-c2wzjbgb 243 12 an an DT cord-338895-c2wzjbgb 243 13 estimation estimation NN cord-338895-c2wzjbgb 243 14 up up RP cord-338895-c2wzjbgb 243 15 to to IN cord-338895-c2wzjbgb 243 16 an an DT cord-338895-c2wzjbgb 243 17 extended extended JJ cord-338895-c2wzjbgb 243 18 period period NN cord-338895-c2wzjbgb 243 19 of of IN cord-338895-c2wzjbgb 243 20 time time NN cord-338895-c2wzjbgb 243 21 τ τ NN cord-338895-c2wzjbgb 243 22 = = SYM cord-338895-c2wzjbgb 243 23 80 80 CD cord-338895-c2wzjbgb 243 24 days day NNS cord-338895-c2wzjbgb 243 25 . . . cord-338895-c2wzjbgb 244 1 For for IN cord-338895-c2wzjbgb 244 2 assessing assess VBG cord-338895-c2wzjbgb 244 3 the the DT cord-338895-c2wzjbgb 244 4 quality quality NN cord-338895-c2wzjbgb 244 5 of of IN cord-338895-c2wzjbgb 244 6 the the DT cord-338895-c2wzjbgb 244 7 estimations estimation NNS cord-338895-c2wzjbgb 244 8 we -PRON- PRP cord-338895-c2wzjbgb 244 9 compare compare VBP cord-338895-c2wzjbgb 244 10 the the DT cord-338895-c2wzjbgb 244 11 real real JJ cord-338895-c2wzjbgb 244 12 data datum NNS cord-338895-c2wzjbgb 244 13 and and CC cord-338895-c2wzjbgb 244 14 the the DT cord-338895-c2wzjbgb 244 15 results result NNS cord-338895-c2wzjbgb 244 16 provided provide VBN cord-338895-c2wzjbgb 244 17 by by IN cord-338895-c2wzjbgb 244 18 M M NNP cord-338895-c2wzjbgb 244 19 j j NNP cord-338895-c2wzjbgb 244 20 , , , cord-338895-c2wzjbgb 244 21 j j NNP cord-338895-c2wzjbgb 244 22 = = SYM cord-338895-c2wzjbgb 244 23 1 1 CD cord-338895-c2wzjbgb 244 24 , , , cord-338895-c2wzjbgb 244 25 . . . cord-338895-c2wzjbgb 244 26 . . . cord-338895-c2wzjbgb 244 27 . . . cord-338895-c2wzjbgb 245 1 , , , cord-338895-c2wzjbgb 245 2 4 4 CD cord-338895-c2wzjbgb 245 3 , , , cord-338895-c2wzjbgb 245 4 for for IN cord-338895-c2wzjbgb 245 5 Italy Italy NNP cord-338895-c2wzjbgb 245 6 using use VBG cord-338895-c2wzjbgb 245 7 the the DT cord-338895-c2wzjbgb 245 8 Canberra Canberra NNP cord-338895-c2wzjbgb 245 9 and and CC cord-338895-c2wzjbgb 245 10 the the DT cord-338895-c2wzjbgb 245 11 Lorentzian lorentzian JJ cord-338895-c2wzjbgb 245 12 distances distance NNS cord-338895-c2wzjbgb 245 13 defined define VBN cord-338895-c2wzjbgb 245 14 previously previously RB cord-338895-c2wzjbgb 245 15 in in IN cord-338895-c2wzjbgb 245 16 ( ( -LRB- cord-338895-c2wzjbgb 245 17 11)- 11)- NNP cord-338895-c2wzjbgb 245 18 ( ( -LRB- cord-338895-c2wzjbgb 245 19 12 12 CD cord-338895-c2wzjbgb 245 20 ) ) -RRB- cord-338895-c2wzjbgb 245 21 . . . cord-338895-c2wzjbgb 246 1 As as IN cord-338895-c2wzjbgb 246 2 before before RB cord-338895-c2wzjbgb 246 3 , , , cord-338895-c2wzjbgb 246 4 the the DT cord-338895-c2wzjbgb 246 5 heuristic heuristic JJ cord-338895-c2wzjbgb 246 6 models model NNS cord-338895-c2wzjbgb 246 7 cover cover VBP cord-338895-c2wzjbgb 246 8 an an DT cord-338895-c2wzjbgb 246 9 extended extended JJ cord-338895-c2wzjbgb 246 10 period period NN cord-338895-c2wzjbgb 246 11 of of IN cord-338895-c2wzjbgb 246 12 τ τ NN cord-338895-c2wzjbgb 246 13 = = SYM cord-338895-c2wzjbgb 246 14 80 80 CD cord-338895-c2wzjbgb 246 15 days day NNS cord-338895-c2wzjbgb 246 16 for for IN cord-338895-c2wzjbgb 246 17 providing provide VBG cord-338895-c2wzjbgb 246 18 an an DT cord-338895-c2wzjbgb 246 19 estimation estimation NN cord-338895-c2wzjbgb 246 20 of of IN cord-338895-c2wzjbgb 246 21 the the DT cord-338895-c2wzjbgb 246 22 near near JJ cord-338895-c2wzjbgb 246 23 future future NN cord-338895-c2wzjbgb 246 24 . . . cord-338895-c2wzjbgb 247 1 We -PRON- PRP cord-338895-c2wzjbgb 247 2 adopt adopt VBP cord-338895-c2wzjbgb 247 3 the the DT cord-338895-c2wzjbgb 247 4 stress stress NN cord-338895-c2wzjbgb 247 5 S S NNP cord-338895-c2wzjbgb 247 6 for for IN cord-338895-c2wzjbgb 247 7 assessing assess VBG cord-338895-c2wzjbgb 247 8 the the DT cord-338895-c2wzjbgb 247 9 conformity conformity NN cord-338895-c2wzjbgb 247 10 between between IN cord-338895-c2wzjbgb 247 11 the the DT cord-338895-c2wzjbgb 247 12 data datum NNS cord-338895-c2wzjbgb 247 13 and and CC cord-338895-c2wzjbgb 247 14 the the DT cord-338895-c2wzjbgb 247 15 trendlines trendline NNS cord-338895-c2wzjbgb 247 16 including include VBG cord-338895-c2wzjbgb 247 17 their -PRON- PRP$ cord-338895-c2wzjbgb 247 18 estimation estimation NN cord-338895-c2wzjbgb 247 19 . . . cord-338895-c2wzjbgb 248 1 The the DT cord-338895-c2wzjbgb 248 2 MATLAB MATLAB NNP cord-338895-c2wzjbgb 248 3 command command NN cord-338895-c2wzjbgb 248 4 cmdscale cmdscale NN cord-338895-c2wzjbgb 248 5 and and CC cord-338895-c2wzjbgb 248 6 stress stress NN cord-338895-c2wzjbgb 248 7 criterion criterion NN cord-338895-c2wzjbgb 248 8 Sammon Sammon NNP cord-338895-c2wzjbgb 248 9 were be VBD cord-338895-c2wzjbgb 248 10 adopted adopt VBN cord-338895-c2wzjbgb 248 11 . . . cord-338895-c2wzjbgb 249 1 Figure figure NN cord-338895-c2wzjbgb 249 2 16 16 CD cord-338895-c2wzjbgb 249 3 depicts depict VBZ cord-338895-c2wzjbgb 249 4 the the DT cord-338895-c2wzjbgb 249 5 stress stress NN cord-338895-c2wzjbgb 249 6 yielded yield VBN cord-338895-c2wzjbgb 249 7 by by IN cord-338895-c2wzjbgb 249 8 the the DT cord-338895-c2wzjbgb 249 9 MDS MDS NNP cord-338895-c2wzjbgb 249 10 loci locus NNS cord-338895-c2wzjbgb 249 11 generated generate VBN cord-338895-c2wzjbgb 249 12 by by IN cord-338895-c2wzjbgb 249 13 the the DT cord-338895-c2wzjbgb 249 14 Canberra Canberra NNP cord-338895-c2wzjbgb 249 15 and and CC cord-338895-c2wzjbgb 249 16 the the DT cord-338895-c2wzjbgb 249 17 Lorentzian Lorentzian NNP cord-338895-c2wzjbgb 249 18 and and CC cord-338895-c2wzjbgb 249 19 the the DT cord-338895-c2wzjbgb 249 20 models model NNS cord-338895-c2wzjbgb 249 21 M M NNP cord-338895-c2wzjbgb 249 22 j j NNP cord-338895-c2wzjbgb 249 23 , , , cord-338895-c2wzjbgb 249 24 j j NNP cord-338895-c2wzjbgb 249 25 = = SYM cord-338895-c2wzjbgb 249 26 1 1 CD cord-338895-c2wzjbgb 249 27 , , , cord-338895-c2wzjbgb 249 28 . . . cord-338895-c2wzjbgb 249 29 . . . cord-338895-c2wzjbgb 249 30 . . . cord-338895-c2wzjbgb 250 1 , , , cord-338895-c2wzjbgb 250 2 4 4 CD cord-338895-c2wzjbgb 250 3 for for IN cord-338895-c2wzjbgb 250 4 the the DT cord-338895-c2wzjbgb 250 5 case case NN cord-338895-c2wzjbgb 250 6 of of IN cord-338895-c2wzjbgb 250 7 Italy Italy NNP cord-338895-c2wzjbgb 250 8 . . . cord-338895-c2wzjbgb 251 1 We -PRON- PRP cord-338895-c2wzjbgb 251 2 verify verify VBP cord-338895-c2wzjbgb 251 3 that that IN cord-338895-c2wzjbgb 251 4 for for IN cord-338895-c2wzjbgb 251 5 d d NN cord-338895-c2wzjbgb 251 6 = = SYM cord-338895-c2wzjbgb 251 7 3 3 CD cord-338895-c2wzjbgb 251 8 the the DT cord-338895-c2wzjbgb 251 9 models model NNS cord-338895-c2wzjbgb 252 1 M M NNP cord-338895-c2wzjbgb 252 2 2 2 CD cord-338895-c2wzjbgb 252 3 and and CC cord-338895-c2wzjbgb 252 4 M M NNP cord-338895-c2wzjbgb 252 5 3 3 CD cord-338895-c2wzjbgb 252 6 are be VBP cord-338895-c2wzjbgb 252 7 superior superior JJ cord-338895-c2wzjbgb 252 8 when when WRB cord-338895-c2wzjbgb 252 9 considering consider VBG cord-338895-c2wzjbgb 252 10 the the DT cord-338895-c2wzjbgb 252 11 Canberra Canberra NNP cord-338895-c2wzjbgb 252 12 distance distance NN cord-338895-c2wzjbgb 252 13 . . . cord-338895-c2wzjbgb 253 1 However however RB cord-338895-c2wzjbgb 253 2 , , , cord-338895-c2wzjbgb 253 3 the the DT cord-338895-c2wzjbgb 253 4 models model NNS cord-338895-c2wzjbgb 253 5 M M NNP cord-338895-c2wzjbgb 253 6 1 1 CD cord-338895-c2wzjbgb 253 7 and and CC cord-338895-c2wzjbgb 253 8 M M NNP cord-338895-c2wzjbgb 253 9 3 3 CD cord-338895-c2wzjbgb 253 10 are be VBP cord-338895-c2wzjbgb 253 11 superior superior JJ cord-338895-c2wzjbgb 253 12 in in IN cord-338895-c2wzjbgb 253 13 the the DT cord-338895-c2wzjbgb 253 14 perspective perspective NN cord-338895-c2wzjbgb 253 15 of of IN cord-338895-c2wzjbgb 253 16 the the DT cord-338895-c2wzjbgb 253 17 Lorenzian lorenzian JJ cord-338895-c2wzjbgb 253 18 distance distance NN cord-338895-c2wzjbgb 253 19 . . . cord-338895-c2wzjbgb 254 1 Figures figure NNS cord-338895-c2wzjbgb 254 2 17 17 CD cord-338895-c2wzjbgb 254 3 and and CC cord-338895-c2wzjbgb 254 4 18 18 CD cord-338895-c2wzjbgb 254 5 show show VBP cord-338895-c2wzjbgb 254 6 the the DT cord-338895-c2wzjbgb 254 7 resulting result VBG cord-338895-c2wzjbgb 254 8 MDS MDS NNP cord-338895-c2wzjbgb 254 9 loci locus NNS cord-338895-c2wzjbgb 254 10 for for IN cord-338895-c2wzjbgb 254 11 the the DT cord-338895-c2wzjbgb 254 12 Canberra Canberra NNP cord-338895-c2wzjbgb 254 13 and and CC cord-338895-c2wzjbgb 254 14 the the DT cord-338895-c2wzjbgb 254 15 Lorenzian lorenzian JJ cord-338895-c2wzjbgb 254 16 distances distance NNS cord-338895-c2wzjbgb 254 17 for for IN cord-338895-c2wzjbgb 254 18 the the DT cord-338895-c2wzjbgb 254 19 two two CD cord-338895-c2wzjbgb 254 20 best good JJS cord-338895-c2wzjbgb 254 21 models model NNS cord-338895-c2wzjbgb 254 22 in in IN cord-338895-c2wzjbgb 254 23 each each DT cord-338895-c2wzjbgb 254 24 case case NN cord-338895-c2wzjbgb 254 25 . . . cord-338895-c2wzjbgb 255 1 The the DT cord-338895-c2wzjbgb 255 2 Lorentzian lorentzian JJ cord-338895-c2wzjbgb 255 3 distance distance NN cord-338895-c2wzjbgb 255 4 is be VBZ cord-338895-c2wzjbgb 255 5 more more RBR cord-338895-c2wzjbgb 255 6 sensitive sensitive JJ cord-338895-c2wzjbgb 255 7 and and CC cord-338895-c2wzjbgb 255 8 gives give VBZ cord-338895-c2wzjbgb 255 9 more more JJR cord-338895-c2wzjbgb 255 10 space space NN cord-338895-c2wzjbgb 255 11 to to IN cord-338895-c2wzjbgb 255 12 the the DT cord-338895-c2wzjbgb 255 13 artifact artifact NN cord-338895-c2wzjbgb 255 14 represented represent VBN cord-338895-c2wzjbgb 255 15 by by IN cord-338895-c2wzjbgb 255 16 the the DT cord-338895-c2wzjbgb 255 17 value value NN cord-338895-c2wzjbgb 256 1 x x LS cord-338895-c2wzjbgb 256 2 36 36 CD cord-338895-c2wzjbgb 257 1 ( ( -LRB- cord-338895-c2wzjbgb 257 2 t t NN cord-338895-c2wzjbgb 257 3 = = SYM cord-338895-c2wzjbgb 257 4 23 23 CD cord-338895-c2wzjbgb 257 5 ) ) -RRB- cord-338895-c2wzjbgb 258 1 = = NFP cord-338895-c2wzjbgb 259 1 90 90 CD cord-338895-c2wzjbgb 260 1 ( ( -LRB- cord-338895-c2wzjbgb 260 2 the the DT cord-338895-c2wzjbgb 260 3 neighbor neighbor NN cord-338895-c2wzjbgb 260 4 values value NNS cord-338895-c2wzjbgb 260 5 are be VBP cord-338895-c2wzjbgb 260 6 x x NN cord-338895-c2wzjbgb 260 7 36 36 CD cord-338895-c2wzjbgb 260 8 ( ( -LRB- cord-338895-c2wzjbgb 260 9 t t NN cord-338895-c2wzjbgb 260 10 = = SYM cord-338895-c2wzjbgb 260 11 22 22 CD cord-338895-c2wzjbgb 260 12 ) ) -RRB- cord-338895-c2wzjbgb 260 13 = = NFP cord-338895-c2wzjbgb 261 1 2547 2547 CD cord-338895-c2wzjbgb 261 2 and and CC cord-338895-c2wzjbgb 261 3 x x SYM cord-338895-c2wzjbgb 261 4 36 36 CD cord-338895-c2wzjbgb 261 5 ( ( -LRB- cord-338895-c2wzjbgb 261 6 t t NN cord-338895-c2wzjbgb 261 7 = = SYM cord-338895-c2wzjbgb 261 8 24 24 CD cord-338895-c2wzjbgb 261 9 ) ) -RRB- cord-338895-c2wzjbgb 261 10 = = SYM cord-338895-c2wzjbgb 261 11 6230 6230 CD cord-338895-c2wzjbgb 261 12 ) ) -RRB- cord-338895-c2wzjbgb 261 13 , , . cord-338895-c2wzjbgb 262 1 but but CC cord-338895-c2wzjbgb 262 2 , , , cord-338895-c2wzjbgb 262 3 on on IN cord-338895-c2wzjbgb 262 4 the the DT cord-338895-c2wzjbgb 262 5 other other JJ cord-338895-c2wzjbgb 262 6 hand hand NN cord-338895-c2wzjbgb 262 7 , , , cord-338895-c2wzjbgb 262 8 shows show VBZ cord-338895-c2wzjbgb 262 9 more more RBR cord-338895-c2wzjbgb 262 10 clearly clearly RB cord-338895-c2wzjbgb 262 11 the the DT cord-338895-c2wzjbgb 262 12 recent recent JJ cord-338895-c2wzjbgb 262 13 final final JJ cord-338895-c2wzjbgb 262 14 phase phase NN cord-338895-c2wzjbgb 262 15 . . . cord-338895-c2wzjbgb 263 1 The the DT cord-338895-c2wzjbgb 263 2 Gaussian gaussian JJ cord-338895-c2wzjbgb 263 3 model model NN cord-338895-c2wzjbgb 263 4 , , , cord-338895-c2wzjbgb 263 5 M M NNP cord-338895-c2wzjbgb 263 6 3 3 CD cord-338895-c2wzjbgb 263 7 seems seem VBZ cord-338895-c2wzjbgb 263 8 a a DT cord-338895-c2wzjbgb 263 9 good good JJ cord-338895-c2wzjbgb 263 10 compromise compromise NN cord-338895-c2wzjbgb 263 11 between between IN cord-338895-c2wzjbgb 263 12 the the DT cord-338895-c2wzjbgb 263 13 two two CD cord-338895-c2wzjbgb 263 14 distances distance NNS cord-338895-c2wzjbgb 263 15 and and CC cord-338895-c2wzjbgb 263 16 produces produce VBZ cord-338895-c2wzjbgb 263 17 a a DT cord-338895-c2wzjbgb 263 18 trajectory trajectory NN cord-338895-c2wzjbgb 263 19 consistent consistent JJ cord-338895-c2wzjbgb 263 20 with with IN cord-338895-c2wzjbgb 263 21 the the DT cord-338895-c2wzjbgb 263 22 data data NN cord-338895-c2wzjbgb 263 23 series series NN cord-338895-c2wzjbgb 263 24 without without IN cord-338895-c2wzjbgb 263 25 exhibiting exhibit VBG cord-338895-c2wzjbgb 263 26 acceleration acceleration NN cord-338895-c2wzjbgb 263 27 / / SYM cord-338895-c2wzjbgb 263 28 deceleration deceleration NN cord-338895-c2wzjbgb 263 29 time time NN cord-338895-c2wzjbgb 263 30 periods period NNS cord-338895-c2wzjbgb 263 31 distinct distinct JJ cord-338895-c2wzjbgb 263 32 from from IN cord-338895-c2wzjbgb 263 33 those those DT cord-338895-c2wzjbgb 263 34 available available JJ cord-338895-c2wzjbgb 263 35 at at IN cord-338895-c2wzjbgb 263 36 the the DT cord-338895-c2wzjbgb 263 37 time time NN cord-338895-c2wzjbgb 263 38 of of IN cord-338895-c2wzjbgb 263 39 writing write VBG cord-338895-c2wzjbgb 263 40 the the DT cord-338895-c2wzjbgb 263 41 paper paper NN cord-338895-c2wzjbgb 263 42 . . . cord-338895-c2wzjbgb 264 1 Nonetheless nonetheless RB cord-338895-c2wzjbgb 264 2 , , , cord-338895-c2wzjbgb 264 3 the the DT cord-338895-c2wzjbgb 264 4 authors author NNS cord-338895-c2wzjbgb 264 5 highlight highlight VBP cord-338895-c2wzjbgb 264 6 that that IN cord-338895-c2wzjbgb 264 7 the the DT cord-338895-c2wzjbgb 264 8 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 264 9 evolution evolution NN cord-338895-c2wzjbgb 264 10 has have VBZ cord-338895-c2wzjbgb 264 11 an an DT cord-338895-c2wzjbgb 264 12 underlying underlie VBG cord-338895-c2wzjbgb 264 13 plethora plethora NN cord-338895-c2wzjbgb 264 14 of of IN cord-338895-c2wzjbgb 264 15 phenomena phenomenon NNS cord-338895-c2wzjbgb 264 16 going go VBG cord-338895-c2wzjbgb 264 17 from from IN cord-338895-c2wzjbgb 264 18 cultural cultural JJ cord-338895-c2wzjbgb 264 19 and and CC cord-338895-c2wzjbgb 264 20 economical economical JJ cord-338895-c2wzjbgb 264 21 up up RP cord-338895-c2wzjbgb 264 22 to to IN cord-338895-c2wzjbgb 264 23 political political JJ cord-338895-c2wzjbgb 264 24 and and CC cord-338895-c2wzjbgb 264 25 geographical geographical JJ cord-338895-c2wzjbgb 264 26 issues issue NNS cord-338895-c2wzjbgb 264 27 . . . cord-338895-c2wzjbgb 265 1 As as IN cord-338895-c2wzjbgb 265 2 someone someone NN cord-338895-c2wzjbgb 265 3 said say VBD cord-338895-c2wzjbgb 265 4 , , , cord-338895-c2wzjbgb 265 5 ' ' '' cord-338895-c2wzjbgb 265 6 Prediction prediction NN cord-338895-c2wzjbgb 265 7 is be VBZ cord-338895-c2wzjbgb 265 8 very very RB cord-338895-c2wzjbgb 265 9 difficult difficult JJ cord-338895-c2wzjbgb 265 10 , , , cord-338895-c2wzjbgb 265 11 especially especially RB cord-338895-c2wzjbgb 265 12 if if IN cord-338895-c2wzjbgb 265 13 it -PRON- PRP cord-338895-c2wzjbgb 265 14 's be VBZ cord-338895-c2wzjbgb 265 15 about about IN cord-338895-c2wzjbgb 265 16 the the DT cord-338895-c2wzjbgb 265 17 future future NN cord-338895-c2wzjbgb 265 18 ' ' '' cord-338895-c2wzjbgb 265 19 [ [ -LRB- cord-338895-c2wzjbgb 265 20 53 53 CD cord-338895-c2wzjbgb 265 21 ] ] -RRB- cord-338895-c2wzjbgb 265 22 . . . cord-338895-c2wzjbgb 266 1 This this DT cord-338895-c2wzjbgb 266 2 paper paper NN cord-338895-c2wzjbgb 266 3 investigated investigate VBD cord-338895-c2wzjbgb 266 4 an an DT cord-338895-c2wzjbgb 266 5 example example NN cord-338895-c2wzjbgb 266 6 of of IN cord-338895-c2wzjbgb 266 7 an an DT cord-338895-c2wzjbgb 266 8 extreme extreme JJ cord-338895-c2wzjbgb 266 9 event event NN cord-338895-c2wzjbgb 266 10 , , , cord-338895-c2wzjbgb 266 11 namely namely RB cord-338895-c2wzjbgb 266 12 the the DT cord-338895-c2wzjbgb 266 13 dynamics dynamic NNS cord-338895-c2wzjbgb 266 14 of of IN cord-338895-c2wzjbgb 266 15 the the DT cord-338895-c2wzjbgb 266 16 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 266 17 spreading spreading NN cord-338895-c2wzjbgb 266 18 . . . cord-338895-c2wzjbgb 267 1 Two two CD cord-338895-c2wzjbgb 267 2 approaches approach NNS cord-338895-c2wzjbgb 267 3 were be VBD cord-338895-c2wzjbgb 267 4 considered consider VBN cord-338895-c2wzjbgb 267 5 for for IN cord-338895-c2wzjbgb 267 6 the the DT cord-338895-c2wzjbgb 267 7 period period NN cord-338895-c2wzjbgb 267 8 from from IN cord-338895-c2wzjbgb 267 9 December December NNP cord-338895-c2wzjbgb 267 10 31 31 CD cord-338895-c2wzjbgb 267 11 , , , cord-338895-c2wzjbgb 267 12 2019 2019 CD cord-338895-c2wzjbgb 267 13 up up IN cord-338895-c2wzjbgb 267 14 to to IN cord-338895-c2wzjbgb 267 15 April April NNP cord-338895-c2wzjbgb 267 16 12 12 CD cord-338895-c2wzjbgb 267 17 , , , cord-338895-c2wzjbgb 267 18 2020 2020 CD cord-338895-c2wzjbgb 267 19 . . . cord-338895-c2wzjbgb 268 1 In in IN cord-338895-c2wzjbgb 268 2 a a DT cord-338895-c2wzjbgb 268 3 first first JJ cord-338895-c2wzjbgb 268 4 phase phase NN cord-338895-c2wzjbgb 268 5 , , , cord-338895-c2wzjbgb 268 6 heuristic heuristic JJ cord-338895-c2wzjbgb 268 7 models model NNS cord-338895-c2wzjbgb 268 8 were be VBD cord-338895-c2wzjbgb 268 9 used use VBN cord-338895-c2wzjbgb 268 10 to to TO cord-338895-c2wzjbgb 268 11 fit fit VB cord-338895-c2wzjbgb 268 12 the the DT cord-338895-c2wzjbgb 268 13 time time NN cord-338895-c2wzjbgb 268 14 series series NN cord-338895-c2wzjbgb 268 15 of of IN cord-338895-c2wzjbgb 268 16 the the DT cord-338895-c2wzjbgb 268 17 number number NN cord-338895-c2wzjbgb 268 18 of of IN cord-338895-c2wzjbgb 268 19 infections infection NNS cord-338895-c2wzjbgb 268 20 verified verify VBN cord-338895-c2wzjbgb 268 21 in in IN cord-338895-c2wzjbgb 268 22 a a DT cord-338895-c2wzjbgb 268 23 set set NN cord-338895-c2wzjbgb 268 24 of of IN cord-338895-c2wzjbgb 268 25 79 79 CD cord-338895-c2wzjbgb 268 26 countries country NNS cord-338895-c2wzjbgb 268 27 . . . cord-338895-c2wzjbgb 269 1 In in IN cord-338895-c2wzjbgb 269 2 a a DT cord-338895-c2wzjbgb 269 3 second second JJ cord-338895-c2wzjbgb 269 4 phase phase NN cord-338895-c2wzjbgb 269 5 , , , cord-338895-c2wzjbgb 269 6 two two CD cord-338895-c2wzjbgb 269 7 metrics metric NNS cord-338895-c2wzjbgb 269 8 were be VBD cord-338895-c2wzjbgb 269 9 used use VBN cord-338895-c2wzjbgb 269 10 for for IN cord-338895-c2wzjbgb 269 11 comparing compare VBG cord-338895-c2wzjbgb 269 12 the the DT cord-338895-c2wzjbgb 269 13 countries country NNS cord-338895-c2wzjbgb 269 14 data datum NNS cord-338895-c2wzjbgb 269 15 both both CC cord-338895-c2wzjbgb 269 16 in in IN cord-338895-c2wzjbgb 269 17 the the DT cord-338895-c2wzjbgb 269 18 time time NN cord-338895-c2wzjbgb 269 19 and and CC cord-338895-c2wzjbgb 269 20 frequency frequency NN cord-338895-c2wzjbgb 269 21 domains domain NNS cord-338895-c2wzjbgb 269 22 , , , cord-338895-c2wzjbgb 269 23 and and CC cord-338895-c2wzjbgb 269 24 the the DT cord-338895-c2wzjbgb 269 25 HC HC NNP cord-338895-c2wzjbgb 269 26 and and CC cord-338895-c2wzjbgb 269 27 MDS MDS NNP cord-338895-c2wzjbgb 269 28 techniques technique NNS cord-338895-c2wzjbgb 269 29 were be VBD cord-338895-c2wzjbgb 269 30 adopted adopt VBN cord-338895-c2wzjbgb 269 31 for for IN cord-338895-c2wzjbgb 269 32 clustering clustering NN cord-338895-c2wzjbgb 269 33 and and CC cord-338895-c2wzjbgb 269 34 visualization visualization NN cord-338895-c2wzjbgb 269 35 . . . cord-338895-c2wzjbgb 270 1 The the DT cord-338895-c2wzjbgb 270 2 time time NN cord-338895-c2wzjbgb 270 3 evolution evolution NN cord-338895-c2wzjbgb 270 4 was be VBD cord-338895-c2wzjbgb 270 5 also also RB cord-338895-c2wzjbgb 270 6 considered consider VBN cord-338895-c2wzjbgb 270 7 for for IN cord-338895-c2wzjbgb 270 8 a a DT cord-338895-c2wzjbgb 270 9 group group NN cord-338895-c2wzjbgb 270 10 of of IN cord-338895-c2wzjbgb 270 11 countries country NNS cord-338895-c2wzjbgb 270 12 exhibiting exhibit VBG cord-338895-c2wzjbgb 270 13 a a DT cord-338895-c2wzjbgb 270 14 more more RBR cord-338895-c2wzjbgb 270 15 dramatic dramatic JJ cord-338895-c2wzjbgb 270 16 spread spread NN cord-338895-c2wzjbgb 270 17 of of IN cord-338895-c2wzjbgb 270 18 the the DT cord-338895-c2wzjbgb 270 19 COVID-19 covid-19 NN cord-338895-c2wzjbgb 270 20 . . . cord-338895-c2wzjbgb 271 1 The the DT cord-338895-c2wzjbgb 271 2 combination combination NN cord-338895-c2wzjbgb 271 3 of of IN cord-338895-c2wzjbgb 271 4 Procrustes Procrustes NNP cord-338895-c2wzjbgb 271 5 and and CC cord-338895-c2wzjbgb 271 6 MDS MDS NNP cord-338895-c2wzjbgb 271 7 showed show VBD cord-338895-c2wzjbgb 271 8 that that IN cord-338895-c2wzjbgb 271 9 besides besides IN cord-338895-c2wzjbgb 271 10 the the DT cord-338895-c2wzjbgb 271 11 number number NN cord-338895-c2wzjbgb 271 12 of of IN cord-338895-c2wzjbgb 271 13 infections infection NNS cord-338895-c2wzjbgb 271 14 , , , cord-338895-c2wzjbgb 271 15 the the DT cord-338895-c2wzjbgb 271 16 dynamic dynamic JJ cord-338895-c2wzjbgb 271 17 characteristics characteristic NNS cord-338895-c2wzjbgb 271 18 play play VBP cord-338895-c2wzjbgb 271 19 an an DT cord-338895-c2wzjbgb 271 20 important important JJ cord-338895-c2wzjbgb 271 21 role role NN cord-338895-c2wzjbgb 271 22 that that WDT cord-338895-c2wzjbgb 271 23 is be VBZ cord-338895-c2wzjbgb 271 24 not not RB cord-338895-c2wzjbgb 271 25 evident evident JJ cord-338895-c2wzjbgb 271 26 in in IN cord-338895-c2wzjbgb 271 27 standard standard JJ cord-338895-c2wzjbgb 271 28 representations representation NNS cord-338895-c2wzjbgb 271 29 . . . cord-338895-c2wzjbgb 272 1 In in IN cord-338895-c2wzjbgb 272 2 fact fact NN cord-338895-c2wzjbgb 272 3 , , , cord-338895-c2wzjbgb 272 4 the the DT cord-338895-c2wzjbgb 272 5 computational computational JJ cord-338895-c2wzjbgb 272 6 and and CC cord-338895-c2wzjbgb 272 7 mathematical mathematical JJ cord-338895-c2wzjbgb 272 8 modeling modeling NN cord-338895-c2wzjbgb 272 9 lead lead NN cord-338895-c2wzjbgb 272 10 to to IN cord-338895-c2wzjbgb 272 11 the the DT cord-338895-c2wzjbgb 272 12 emergence emergence NN cord-338895-c2wzjbgb 272 13 of of IN cord-338895-c2wzjbgb 272 14 patterns pattern NNS cord-338895-c2wzjbgb 272 15 both both DT cord-338895-c2wzjbgb 272 16 highlighting highlight VBG cord-338895-c2wzjbgb 272 17 the the DT cord-338895-c2wzjbgb 272 18 main main JJ cord-338895-c2wzjbgb 272 19 clusters cluster NNS cord-338895-c2wzjbgb 272 20 and and CC cord-338895-c2wzjbgb 272 21 the the DT cord-338895-c2wzjbgb 272 22 similarities similarity NNS cord-338895-c2wzjbgb 272 23 or or CC cord-338895-c2wzjbgb 272 24 dissimilarities dissimilarity NNS cord-338895-c2wzjbgb 272 25 between between IN cord-338895-c2wzjbgb 272 26 them -PRON- PRP cord-338895-c2wzjbgb 272 27 . . . cord-338895-c2wzjbgb 273 1 Given give VBN cord-338895-c2wzjbgb 273 2 the the DT cord-338895-c2wzjbgb 273 3 potential potential NN cord-338895-c2wzjbgb 273 4 of of IN cord-338895-c2wzjbgb 273 5 the the DT cord-338895-c2wzjbgb 273 6 techniques technique NNS cord-338895-c2wzjbgb 273 7 discussed discuss VBN cord-338895-c2wzjbgb 273 8 here here RB cord-338895-c2wzjbgb 273 9 we -PRON- PRP cord-338895-c2wzjbgb 273 10 can can MD cord-338895-c2wzjbgb 273 11 think think VB cord-338895-c2wzjbgb 273 12 of of IN cord-338895-c2wzjbgb 273 13 their -PRON- PRP$ cord-338895-c2wzjbgb 273 14 application application NN cord-338895-c2wzjbgb 273 15 in in IN cord-338895-c2wzjbgb 273 16 several several JJ cord-338895-c2wzjbgb 273 17 research research NN cord-338895-c2wzjbgb 273 18 directions direction NNS cord-338895-c2wzjbgb 273 19 such such JJ cord-338895-c2wzjbgb 273 20 as as IN cord-338895-c2wzjbgb 273 21 the the DT cord-338895-c2wzjbgb 273 22 subdivision subdivision NN cord-338895-c2wzjbgb 273 23 of of IN cord-338895-c2wzjbgb 273 24 data datum NNS cord-338895-c2wzjbgb 273 25 sets set NNS cord-338895-c2wzjbgb 273 26 according accord VBG cord-338895-c2wzjbgb 273 27 with with IN cord-338895-c2wzjbgb 273 28 distinct distinct JJ cord-338895-c2wzjbgb 273 29 criteria criterion NNS cord-338895-c2wzjbgb 273 30 such such JJ cord-338895-c2wzjbgb 273 31 as as IN cord-338895-c2wzjbgb 273 32 the the DT cord-338895-c2wzjbgb 273 33 age age NN cord-338895-c2wzjbgb 273 34 , , , cord-338895-c2wzjbgb 273 35 or or CC cord-338895-c2wzjbgb 273 36 the the DT cord-338895-c2wzjbgb 273 37 geographical geographical JJ cord-338895-c2wzjbgb 273 38 origin origin NN cord-338895-c2wzjbgb 273 39 of of IN cord-338895-c2wzjbgb 273 40 the the DT cord-338895-c2wzjbgb 273 41 patients patient NNS cord-338895-c2wzjbgb 273 42 . . . cord-338895-c2wzjbgb 274 1 Additionally additionally RB cord-338895-c2wzjbgb 274 2 , , , cord-338895-c2wzjbgb 274 3 analysis analysis NN cord-338895-c2wzjbgb 274 4 considering consider VBG cord-338895-c2wzjbgb 274 5 a a DT cord-338895-c2wzjbgb 274 6 large large JJ cord-338895-c2wzjbgb 274 7 set set NN cord-338895-c2wzjbgb 274 8 of of IN cord-338895-c2wzjbgb 274 9 influential influential JJ cord-338895-c2wzjbgb 274 10 factors factor NNS cord-338895-c2wzjbgb 274 11 besides besides IN cord-338895-c2wzjbgb 274 12 merely merely RB cord-338895-c2wzjbgb 274 13 the the DT cord-338895-c2wzjbgb 274 14 casualties casualty NNS cord-338895-c2wzjbgb 274 15 can can MD cord-338895-c2wzjbgb 274 16 be be VB cord-338895-c2wzjbgb 274 17 tried try VBN cord-338895-c2wzjbgb 274 18 , , , cord-338895-c2wzjbgb 274 19 such such JJ cord-338895-c2wzjbgb 274 20 as as IN cord-338895-c2wzjbgb 274 21 infected infected JJ cord-338895-c2wzjbgb 274 22 people people NNS cord-338895-c2wzjbgb 274 23 staying stay VBG cord-338895-c2wzjbgb 274 24 in in IN cord-338895-c2wzjbgb 274 25 general general JJ cord-338895-c2wzjbgb 274 26 or or CC cord-338895-c2wzjbgb 274 27 in in IN cord-338895-c2wzjbgb 274 28 intensive intensive JJ cord-338895-c2wzjbgb 274 29 care care NN cord-338895-c2wzjbgb 274 30 in in IN cord-338895-c2wzjbgb 274 31 hospital hospital NN cord-338895-c2wzjbgb 274 32 , , , cord-338895-c2wzjbgb 274 33 or or CC cord-338895-c2wzjbgb 274 34 recovered recover VBN cord-338895-c2wzjbgb 274 35 based base VBN cord-338895-c2wzjbgb 274 36 on on IN cord-338895-c2wzjbgb 274 37 some some DT cord-338895-c2wzjbgb 274 38 type type NN cord-338895-c2wzjbgb 274 39 of of IN cord-338895-c2wzjbgb 274 40 treatment treatment NN cord-338895-c2wzjbgb 274 41 . . . cord-338895-c2wzjbgb 275 1 Therefore therefore RB cord-338895-c2wzjbgb 275 2 , , , cord-338895-c2wzjbgb 275 3 if if IN cord-338895-c2wzjbgb 275 4 sufficient sufficient JJ cord-338895-c2wzjbgb 275 5 and and CC cord-338895-c2wzjbgb 275 6 assertive assertive JJ cord-338895-c2wzjbgb 275 7 information information NN cord-338895-c2wzjbgb 275 8 is be VBZ cord-338895-c2wzjbgb 275 9 collected collect VBN cord-338895-c2wzjbgb 275 10 , , , cord-338895-c2wzjbgb 275 11 then then RB cord-338895-c2wzjbgb 275 12 research research NN cord-338895-c2wzjbgb 275 13 can can MD cord-338895-c2wzjbgb 275 14 follow follow VB cord-338895-c2wzjbgb 275 15 the the DT cord-338895-c2wzjbgb 275 16 aforementioned aforementioned JJ cord-338895-c2wzjbgb 275 17 computational computational JJ cord-338895-c2wzjbgb 275 18 methods method NNS cord-338895-c2wzjbgb 275 19 to to TO cord-338895-c2wzjbgb 275 20 unravel unravel VB cord-338895-c2wzjbgb 275 21 space space NN cord-338895-c2wzjbgb 275 22 and and CC cord-338895-c2wzjbgb 275 23 time time NN cord-338895-c2wzjbgb 275 24 nonlinear nonlinear JJ cord-338895-c2wzjbgb 275 25 dynamics dynamic NNS cord-338895-c2wzjbgb 275 26 embedded embed VBD cord-338895-c2wzjbgb 275 27 the the DT cord-338895-c2wzjbgb 275 28 data datum NNS cord-338895-c2wzjbgb 275 29 . . . cord-338895-c2wzjbgb 276 1 A a DT cord-338895-c2wzjbgb 276 2 review review NN cord-338895-c2wzjbgb 276 3 of of IN cord-338895-c2wzjbgb 276 4 power power NN cord-338895-c2wzjbgb 276 5 laws law NNS cord-338895-c2wzjbgb 276 6 in in IN cord-338895-c2wzjbgb 276 7 real real JJ cord-338895-c2wzjbgb 276 8 life life NN cord-338895-c2wzjbgb 276 9 phenomena phenomena VBD cord-338895-c2wzjbgb 276 10 Power power NN cord-338895-c2wzjbgb 276 11 laws law NNS cord-338895-c2wzjbgb 276 12 , , , cord-338895-c2wzjbgb 276 13 Pareto Pareto NNP cord-338895-c2wzjbgb 276 14 distributions distribution NNS cord-338895-c2wzjbgb 276 15 and and CC cord-338895-c2wzjbgb 276 16 Zipf Zipf NNP cord-338895-c2wzjbgb 276 17 's 's POS cord-338895-c2wzjbgb 276 18 law law NN cord-338895-c2wzjbgb 276 19 Self self NN cord-338895-c2wzjbgb 276 20 - - HYPH cord-338895-c2wzjbgb 276 21 organized organize VBN cord-338895-c2wzjbgb 276 22 criticality criticality NN cord-338895-c2wzjbgb 276 23 : : : cord-338895-c2wzjbgb 276 24 an an DT cord-338895-c2wzjbgb 276 25 explanation explanation NN cord-338895-c2wzjbgb 276 26 of of IN cord-338895-c2wzjbgb 276 27 1 1 CD cord-338895-c2wzjbgb 276 28 / / SYM cord-338895-c2wzjbgb 276 29 f f NN cord-338895-c2wzjbgb 276 30 noise noise NN cord-338895-c2wzjbgb 276 31 Self self NN cord-338895-c2wzjbgb 276 32 - - HYPH cord-338895-c2wzjbgb 276 33 organized organize VBN cord-338895-c2wzjbgb 276 34 Criticality criticality NN cord-338895-c2wzjbgb 276 35 : : : cord-338895-c2wzjbgb 276 36 Emergent Emergent NNP cord-338895-c2wzjbgb 276 37 Complex Complex NNP cord-338895-c2wzjbgb 276 38 Behavior Behavior NNP cord-338895-c2wzjbgb 276 39 in in IN cord-338895-c2wzjbgb 276 40 Dragon Dragon NNP cord-338895-c2wzjbgb 276 41 - - HYPH cord-338895-c2wzjbgb 276 42 kings king NNS cord-338895-c2wzjbgb 276 43 , , , cord-338895-c2wzjbgb 276 44 black black JJ cord-338895-c2wzjbgb 276 45 swans swan NNS cord-338895-c2wzjbgb 276 46 and and CC cord-338895-c2wzjbgb 276 47 the the DT cord-338895-c2wzjbgb 276 48 prediction prediction NN cord-338895-c2wzjbgb 276 49 of of IN cord-338895-c2wzjbgb 276 50 crises crisis NNS cord-338895-c2wzjbgb 277 1 Robust robust JJ cord-338895-c2wzjbgb 277 2 statistical statistical JJ cord-338895-c2wzjbgb 277 3 tests test NNS cord-338895-c2wzjbgb 277 4 of of IN cord-338895-c2wzjbgb 277 5 Dragon Dragon NNP cord-338895-c2wzjbgb 277 6 - - HYPH cord-338895-c2wzjbgb 277 7 Kings king NNS cord-338895-c2wzjbgb 277 8 beyond beyond IN cord-338895-c2wzjbgb 277 9 power power NN cord-338895-c2wzjbgb 277 10 law law NN cord-338895-c2wzjbgb 277 11 distributions distribution NNS cord-338895-c2wzjbgb 277 12 Shattering shatter VBG cord-338895-c2wzjbgb 277 13 the the DT cord-338895-c2wzjbgb 277 14 bell bell NN cord-338895-c2wzjbgb 277 15 curve curve NN cord-338895-c2wzjbgb 277 16 Novel Novel NNP cord-338895-c2wzjbgb 277 17 Coronavirus Coronavirus NNP cord-338895-c2wzjbgb 277 18 ( ( -LRB- cord-338895-c2wzjbgb 277 19 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 277 20 ) ) -RRB- cord-338895-c2wzjbgb 277 21 outbreak outbreak NN cord-338895-c2wzjbgb 277 22 : : : cord-338895-c2wzjbgb 277 23 a a DT cord-338895-c2wzjbgb 277 24 review review NN cord-338895-c2wzjbgb 277 25 of of IN cord-338895-c2wzjbgb 277 26 the the DT cord-338895-c2wzjbgb 277 27 current current JJ cord-338895-c2wzjbgb 277 28 literature literature NN cord-338895-c2wzjbgb 277 29 and and CC cord-338895-c2wzjbgb 277 30 built build VBN cord-338895-c2wzjbgb 277 31 environment environment NN cord-338895-c2wzjbgb 277 32 ( ( -LRB- cord-338895-c2wzjbgb 277 33 BE be VB cord-338895-c2wzjbgb 277 34 ) ) -RRB- cord-338895-c2wzjbgb 277 35 considerations consideration NNS cord-338895-c2wzjbgb 277 36 to to TO cord-338895-c2wzjbgb 277 37 reduce reduce VB cord-338895-c2wzjbgb 277 38 transmission transmission NN cord-338895-c2wzjbgb 277 39 Review Review NNP cord-338895-c2wzjbgb 277 40 of of IN cord-338895-c2wzjbgb 277 41 the the DT cord-338895-c2wzjbgb 277 42 clinical clinical JJ cord-338895-c2wzjbgb 277 43 characteristics characteristic NNS cord-338895-c2wzjbgb 277 44 of of IN cord-338895-c2wzjbgb 277 45 coronavirus coronavirus NN cord-338895-c2wzjbgb 277 46 disease disease NN cord-338895-c2wzjbgb 277 47 2019 2019 CD cord-338895-c2wzjbgb 277 48 ( ( -LRB- cord-338895-c2wzjbgb 277 49 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 277 50 ) ) -RRB- cord-338895-c2wzjbgb 277 51 COVID-19 covid-19 CD cord-338895-c2wzjbgb 277 52 : : : cord-338895-c2wzjbgb 277 53 another another DT cord-338895-c2wzjbgb 277 54 infectious infectious JJ cord-338895-c2wzjbgb 277 55 disease disease NN cord-338895-c2wzjbgb 277 56 emerging emerge VBG cord-338895-c2wzjbgb 277 57 at at IN cord-338895-c2wzjbgb 277 58 the the DT cord-338895-c2wzjbgb 277 59 animal animal NN cord-338895-c2wzjbgb 277 60 - - HYPH cord-338895-c2wzjbgb 277 61 human human NN cord-338895-c2wzjbgb 277 62 interface interface NN cord-338895-c2wzjbgb 277 63 Coronavirus Coronavirus NNP cord-338895-c2wzjbgb 277 64 disease disease NN cord-338895-c2wzjbgb 277 65 2019 2019 CD cord-338895-c2wzjbgb 277 66 ( ( -LRB- cord-338895-c2wzjbgb 277 67 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 277 68 ) ) -RRB- cord-338895-c2wzjbgb 277 69 : : : cord-338895-c2wzjbgb 277 70 a a DT cord-338895-c2wzjbgb 277 71 perspective perspective NN cord-338895-c2wzjbgb 277 72 from from IN cord-338895-c2wzjbgb 277 73 China China NNP cord-338895-c2wzjbgb 278 1 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 278 2 control control NN cord-338895-c2wzjbgb 278 3 in in IN cord-338895-c2wzjbgb 278 4 China China NNP cord-338895-c2wzjbgb 278 5 during during IN cord-338895-c2wzjbgb 278 6 mass mass NN cord-338895-c2wzjbgb 278 7 population population NN cord-338895-c2wzjbgb 278 8 movements movement NNS cord-338895-c2wzjbgb 278 9 at at IN cord-338895-c2wzjbgb 278 10 new new JJ cord-338895-c2wzjbgb 278 11 year year NN cord-338895-c2wzjbgb 279 1 Mass mass JJ cord-338895-c2wzjbgb 279 2 masking masking NN cord-338895-c2wzjbgb 279 3 in in IN cord-338895-c2wzjbgb 279 4 the the DT cord-338895-c2wzjbgb 279 5 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 279 6 epidemic epidemic NN cord-338895-c2wzjbgb 280 1 : : : cord-338895-c2wzjbgb 280 2 people people NNS cord-338895-c2wzjbgb 280 3 need need VBP cord-338895-c2wzjbgb 280 4 guidance guidance NN cord-338895-c2wzjbgb 281 1 The the DT cord-338895-c2wzjbgb 281 2 effect effect NN cord-338895-c2wzjbgb 281 3 of of IN cord-338895-c2wzjbgb 281 4 travel travel NN cord-338895-c2wzjbgb 281 5 restrictions restriction NNS cord-338895-c2wzjbgb 281 6 on on IN cord-338895-c2wzjbgb 281 7 the the DT cord-338895-c2wzjbgb 281 8 spread spread NN cord-338895-c2wzjbgb 281 9 of of IN cord-338895-c2wzjbgb 281 10 the the DT cord-338895-c2wzjbgb 281 11 2019 2019 CD cord-338895-c2wzjbgb 281 12 novel novel NN cord-338895-c2wzjbgb 281 13 coronavirus coronavirus NN cord-338895-c2wzjbgb 281 14 ( ( -LRB- cord-338895-c2wzjbgb 281 15 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 281 16 ) ) -RRB- cord-338895-c2wzjbgb 281 17 outbreak outbreak NN cord-338895-c2wzjbgb 281 18 . . . cord-338895-c2wzjbgb 282 1 Science Science NNP cord-338895-c2wzjbgb 282 2 Data Data NNP cord-338895-c2wzjbgb 282 3 sharing sharing NN cord-338895-c2wzjbgb 282 4 for for IN cord-338895-c2wzjbgb 282 5 novel novel JJ cord-338895-c2wzjbgb 282 6 coronavirus coronavirus NN cord-338895-c2wzjbgb 282 7 pandemic pandemic NN cord-338895-c2wzjbgb 282 8 influenza influenza NN cord-338895-c2wzjbgb 282 9 A a NN cord-338895-c2wzjbgb 282 10 ( ( -LRB- cord-338895-c2wzjbgb 282 11 H1N1 H1N1 NNP cord-338895-c2wzjbgb 282 12 ) ) -RRB- cord-338895-c2wzjbgb 282 13 deaths death NNS cord-338895-c2wzjbgb 282 14 among among IN cord-338895-c2wzjbgb 282 15 children child NNS cord-338895-c2wzjbgb 282 16 - - : cord-338895-c2wzjbgb 282 17 United United NNP cord-338895-c2wzjbgb 282 18 States States NNP cord-338895-c2wzjbgb 283 1 The the DT cord-338895-c2wzjbgb 283 2 reproductive reproductive JJ cord-338895-c2wzjbgb 283 3 number number NN cord-338895-c2wzjbgb 283 4 of of IN cord-338895-c2wzjbgb 283 5 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 283 6 is be VBZ cord-338895-c2wzjbgb 283 7 higher high JJR cord-338895-c2wzjbgb 283 8 compared compare VBN cord-338895-c2wzjbgb 283 9 to to IN cord-338895-c2wzjbgb 283 10 SARS SARS NNP cord-338895-c2wzjbgb 283 11 coronavirus coronavirus NN cord-338895-c2wzjbgb 284 1 A a DT cord-338895-c2wzjbgb 284 2 contribution contribution NN cord-338895-c2wzjbgb 284 3 to to IN cord-338895-c2wzjbgb 284 4 the the DT cord-338895-c2wzjbgb 284 5 mathematical mathematical JJ cord-338895-c2wzjbgb 284 6 theory theory NN cord-338895-c2wzjbgb 284 7 of of IN cord-338895-c2wzjbgb 284 8 epidemics epidemic NNS cord-338895-c2wzjbgb 284 9 Dynamics Dynamics NNPS cord-338895-c2wzjbgb 284 10 of of IN cord-338895-c2wzjbgb 284 11 measles measle NNS cord-338895-c2wzjbgb 284 12 epidemics epidemic NNS cord-338895-c2wzjbgb 284 13 : : : cord-338895-c2wzjbgb 284 14 estimating estimate VBG cord-338895-c2wzjbgb 284 15 scaling scaling NN cord-338895-c2wzjbgb 284 16 of of IN cord-338895-c2wzjbgb 284 17 transmission transmission NN cord-338895-c2wzjbgb 284 18 rates rate NNS cord-338895-c2wzjbgb 284 19 using use VBG cord-338895-c2wzjbgb 284 20 a a DT cord-338895-c2wzjbgb 284 21 time time NN cord-338895-c2wzjbgb 284 22 series series NN cord-338895-c2wzjbgb 284 23 SIR SIR NNP cord-338895-c2wzjbgb 284 24 model model NN cord-338895-c2wzjbgb 284 25 Complex complex JJ cord-338895-c2wzjbgb 284 26 dynamics dynamic NNS cord-338895-c2wzjbgb 284 27 in in IN cord-338895-c2wzjbgb 284 28 a a DT cord-338895-c2wzjbgb 284 29 stochastic stochastic JJ cord-338895-c2wzjbgb 284 30 internal internal JJ cord-338895-c2wzjbgb 284 31 HIV HIV NNP cord-338895-c2wzjbgb 284 32 model model NN cord-338895-c2wzjbgb 284 33 On on IN cord-338895-c2wzjbgb 284 34 the the DT cord-338895-c2wzjbgb 284 35 solution solution NN cord-338895-c2wzjbgb 284 36 of of IN cord-338895-c2wzjbgb 284 37 fractional fractional JJ cord-338895-c2wzjbgb 284 38 order order NN cord-338895-c2wzjbgb 284 39 SIS SIS NNP cord-338895-c2wzjbgb 284 40 epidemic epidemic NN cord-338895-c2wzjbgb 284 41 model model NN cord-338895-c2wzjbgb 284 42 Stability Stability NNP cord-338895-c2wzjbgb 284 43 analysis analysis NN cord-338895-c2wzjbgb 284 44 of of IN cord-338895-c2wzjbgb 284 45 a a DT cord-338895-c2wzjbgb 284 46 fractional fractional JJ cord-338895-c2wzjbgb 284 47 order order NN cord-338895-c2wzjbgb 284 48 model model NN cord-338895-c2wzjbgb 284 49 for for IN cord-338895-c2wzjbgb 284 50 the the DT cord-338895-c2wzjbgb 284 51 HIV HIV NNP cord-338895-c2wzjbgb 284 52 / / SYM cord-338895-c2wzjbgb 284 53 AIDS AIDS NNP cord-338895-c2wzjbgb 284 54 epidemic epidemic NN cord-338895-c2wzjbgb 284 55 in in IN cord-338895-c2wzjbgb 284 56 a a DT cord-338895-c2wzjbgb 284 57 patchy patchy JJ cord-338895-c2wzjbgb 284 58 environment environment NN cord-338895-c2wzjbgb 284 59 Complex complex JJ cord-338895-c2wzjbgb 284 60 dynamics dynamic NNS cord-338895-c2wzjbgb 284 61 in in IN cord-338895-c2wzjbgb 284 62 a a DT cord-338895-c2wzjbgb 284 63 unified unified JJ cord-338895-c2wzjbgb 284 64 SIR SIR NNP cord-338895-c2wzjbgb 284 65 and and CC cord-338895-c2wzjbgb 284 66 HIV HIV NNP cord-338895-c2wzjbgb 284 67 disease disease NN cord-338895-c2wzjbgb 284 68 model model NN cord-338895-c2wzjbgb 284 69 : : : cord-338895-c2wzjbgb 284 70 a a DT cord-338895-c2wzjbgb 284 71 bifurcation bifurcation NN cord-338895-c2wzjbgb 284 72 theory theory NN cord-338895-c2wzjbgb 284 73 approach approach NN cord-338895-c2wzjbgb 284 74 SIR SIR NNP cord-338895-c2wzjbgb 284 75 model model NN cord-338895-c2wzjbgb 284 76 of of IN cord-338895-c2wzjbgb 284 77 spread spread NN cord-338895-c2wzjbgb 284 78 of of IN cord-338895-c2wzjbgb 284 79 Zika Zika NNP cord-338895-c2wzjbgb 284 80 virus virus NN cord-338895-c2wzjbgb 284 81 infections infection NNS cord-338895-c2wzjbgb 284 82 : : : cord-338895-c2wzjbgb 284 83 ZIKV ZIKV NNP cord-338895-c2wzjbgb 284 84 linked link VBN cord-338895-c2wzjbgb 284 85 to to IN cord-338895-c2wzjbgb 284 86 microcephaly microcephaly NN cord-338895-c2wzjbgb 284 87 simulations simulation NNS cord-338895-c2wzjbgb 284 88 Transmission transmission NN cord-338895-c2wzjbgb 284 89 dynamics dynamic NNS cord-338895-c2wzjbgb 284 90 of of IN cord-338895-c2wzjbgb 284 91 the the DT cord-338895-c2wzjbgb 284 92 COVID-19 covid-19 JJ cord-338895-c2wzjbgb 284 93 outbreak outbreak NN cord-338895-c2wzjbgb 284 94 and and CC cord-338895-c2wzjbgb 284 95 effectiveness effectiveness NN cord-338895-c2wzjbgb 284 96 of of IN cord-338895-c2wzjbgb 284 97 government government NN cord-338895-c2wzjbgb 284 98 interventions intervention NNS cord-338895-c2wzjbgb 284 99 : : : cord-338895-c2wzjbgb 284 100 a a DT cord-338895-c2wzjbgb 284 101 data data NN cord-338895-c2wzjbgb 284 102 - - HYPH cord-338895-c2wzjbgb 284 103 driven drive VBN cord-338895-c2wzjbgb 284 104 analysis analysis NN cord-338895-c2wzjbgb 284 105 Estimation estimation NN cord-338895-c2wzjbgb 284 106 of of IN cord-338895-c2wzjbgb 284 107 the the DT cord-338895-c2wzjbgb 284 108 reproductive reproductive JJ cord-338895-c2wzjbgb 284 109 number number NN cord-338895-c2wzjbgb 284 110 of of IN cord-338895-c2wzjbgb 284 111 Novel Novel NNP cord-338895-c2wzjbgb 284 112 Coronavirus Coronavirus NNP cord-338895-c2wzjbgb 284 113 ( ( -LRB- cord-338895-c2wzjbgb 284 114 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 284 115 ) ) -RRB- cord-338895-c2wzjbgb 284 116 and and CC cord-338895-c2wzjbgb 284 117 the the DT cord-338895-c2wzjbgb 284 118 probable probable JJ cord-338895-c2wzjbgb 284 119 outbreak outbreak NN cord-338895-c2wzjbgb 284 120 size size NN cord-338895-c2wzjbgb 284 121 on on IN cord-338895-c2wzjbgb 284 122 the the DT cord-338895-c2wzjbgb 284 123 Diamond Diamond NNP cord-338895-c2wzjbgb 284 124 Princess Princess NNP cord-338895-c2wzjbgb 284 125 cruise cruise NN cord-338895-c2wzjbgb 284 126 ship ship NN cord-338895-c2wzjbgb 284 127 : : : cord-338895-c2wzjbgb 284 128 a a DT cord-338895-c2wzjbgb 284 129 data data NN cord-338895-c2wzjbgb 284 130 - - HYPH cord-338895-c2wzjbgb 284 131 driven drive VBN cord-338895-c2wzjbgb 284 132 analysis analysis NN cord-338895-c2wzjbgb 285 1 Early early JJ cord-338895-c2wzjbgb 285 2 estimation estimation NN cord-338895-c2wzjbgb 285 3 of of IN cord-338895-c2wzjbgb 285 4 the the DT cord-338895-c2wzjbgb 285 5 case case NN cord-338895-c2wzjbgb 285 6 fatality fatality NN cord-338895-c2wzjbgb 285 7 rate rate NN cord-338895-c2wzjbgb 285 8 of of IN cord-338895-c2wzjbgb 285 9 COVID-19 COVID-19 NNP cord-338895-c2wzjbgb 285 10 in in IN cord-338895-c2wzjbgb 285 11 mainland mainland NN cord-338895-c2wzjbgb 285 12 China China NNP cord-338895-c2wzjbgb 285 13 : : : cord-338895-c2wzjbgb 285 14 a a DT cord-338895-c2wzjbgb 285 15 data data NN cord-338895-c2wzjbgb 285 16 - - HYPH cord-338895-c2wzjbgb 285 17 driven drive VBN cord-338895-c2wzjbgb 285 18 analysis analysis NN cord-338895-c2wzjbgb 285 19 Lecture Lecture NNP cord-338895-c2wzjbgb 285 20 Notes Notes NNPS cord-338895-c2wzjbgb 285 21 in in IN cord-338895-c2wzjbgb 285 22 Physics Physics NNP cord-338895-c2wzjbgb 285 23 , , , cord-338895-c2wzjbgb 285 24 International International NNP cord-338895-c2wzjbgb 285 25 Symposium Symposium NNP cord-338895-c2wzjbgb 285 26 on on IN cord-338895-c2wzjbgb 285 27 Mathematical Mathematical NNP cord-338895-c2wzjbgb 285 28 Problems Problems NNPS cord-338895-c2wzjbgb 285 29 in in IN cord-338895-c2wzjbgb 285 30 Theoretical Theoretical NNP cord-338895-c2wzjbgb 285 31 Physics Physics NNP cord-338895-c2wzjbgb 285 32 , , , cord-338895-c2wzjbgb 285 33 Chap Chap NNP cord-338895-c2wzjbgb 285 34 . . . cord-338895-c2wzjbgb 286 1 Innovation Innovation NNP cord-338895-c2wzjbgb 286 2 and and CC cord-338895-c2wzjbgb 286 3 Intellectual Intellectual NNP cord-338895-c2wzjbgb 286 4 Property Property NNP cord-338895-c2wzjbgb 286 5 Rights Rights NNPS cord-338895-c2wzjbgb 286 6 Stable Stable NNP cord-338895-c2wzjbgb 286 7 Distributions distribution NNS cord-338895-c2wzjbgb 286 8 : : : cord-338895-c2wzjbgb 286 9 Models model NNS cord-338895-c2wzjbgb 286 10 for for IN cord-338895-c2wzjbgb 286 11 Heavy Heavy NNP cord-338895-c2wzjbgb 286 12 - - HYPH cord-338895-c2wzjbgb 286 13 Tailed Tailed NNP cord-338895-c2wzjbgb 286 14 Data Data NNP cord-338895-c2wzjbgb 286 15 Limit Limit NNP cord-338895-c2wzjbgb 286 16 Distributions distribution NNS cord-338895-c2wzjbgb 286 17 for for IN cord-338895-c2wzjbgb 286 18 Sums sum NNS cord-338895-c2wzjbgb 286 19 of of IN cord-338895-c2wzjbgb 286 20 Independent Independent NNP cord-338895-c2wzjbgb 286 21 Random random JJ cord-338895-c2wzjbgb 286 22 Variables Variables NNPS cord-338895-c2wzjbgb 286 23 . . . cord-338895-c2wzjbgb 287 1 Addison Addison NNP cord-338895-c2wzjbgb 287 2 - - HYPH cord-338895-c2wzjbgb 287 3 Wesley Wesley NNP cord-338895-c2wzjbgb 287 4 Series Series NNP cord-338895-c2wzjbgb 287 5 in in IN cord-338895-c2wzjbgb 287 6 Statistics Statistics NNP cord-338895-c2wzjbgb 287 7 Calcul Calcul NNP cord-338895-c2wzjbgb 287 8 des des NNP cord-338895-c2wzjbgb 287 9 Probabilités Probabilités NNP cord-338895-c2wzjbgb 287 10 . . . cord-338895-c2wzjbgb 288 1 Gauthier Gauthier NNP cord-338895-c2wzjbgb 288 2 - - HYPH cord-338895-c2wzjbgb 288 3 Villars Villars NNP cord-338895-c2wzjbgb 288 4 A A NNP cord-338895-c2wzjbgb 288 5 Practical Practical NNP cord-338895-c2wzjbgb 288 6 Guide Guide NNP cord-338895-c2wzjbgb 288 7 to to IN cord-338895-c2wzjbgb 288 8 Heavy Heavy NNP cord-338895-c2wzjbgb 288 9 Tails Tails NNPS cord-338895-c2wzjbgb 288 10 : : : cord-338895-c2wzjbgb 289 1 Statistical statistical JJ cord-338895-c2wzjbgb 289 2 Techniques Techniques NNPS cord-338895-c2wzjbgb 289 3 and and CC cord-338895-c2wzjbgb 289 4 Applications Applications NNPS cord-338895-c2wzjbgb 289 5 Exact exact JJ cord-338895-c2wzjbgb 289 6 and and CC cord-338895-c2wzjbgb 289 7 explicit explicit JJ cord-338895-c2wzjbgb 289 8 probability probability NN cord-338895-c2wzjbgb 289 9 densities density NNS cord-338895-c2wzjbgb 289 10 for for IN cord-338895-c2wzjbgb 289 11 one one CD cord-338895-c2wzjbgb 289 12 - - HYPH cord-338895-c2wzjbgb 289 13 sided sided JJ cord-338895-c2wzjbgb 289 14 Lévy Lévy NNP cord-338895-c2wzjbgb 289 15 stable stable JJ cord-338895-c2wzjbgb 289 16 distributions distribution NNS cord-338895-c2wzjbgb 289 17 Financial Financial NNP cord-338895-c2wzjbgb 289 18 Models Models NNPS cord-338895-c2wzjbgb 289 19 with with IN cord-338895-c2wzjbgb 289 20 Lévy Lévy NNP cord-338895-c2wzjbgb 289 21 Processes Processes NNPS cord-338895-c2wzjbgb 289 22 and and CC cord-338895-c2wzjbgb 289 23 Volatility Volatility NNP cord-338895-c2wzjbgb 289 24 Clustering clustering NN cord-338895-c2wzjbgb 289 25 Solving solve VBG cord-338895-c2wzjbgb 289 26 Least Least JJS cord-338895-c2wzjbgb 289 27 Squares Squares NNPS cord-338895-c2wzjbgb 289 28 Problems Problems NNPS cord-338895-c2wzjbgb 289 29 Applied apply VBD cord-338895-c2wzjbgb 289 30 Regression Regression NNP cord-338895-c2wzjbgb 289 31 Analysis Analysis NNP cord-338895-c2wzjbgb 289 32 Empirical empirical JJ cord-338895-c2wzjbgb 289 33 laws law NNS cord-338895-c2wzjbgb 289 34 and and CC cord-338895-c2wzjbgb 289 35 foreseeing foresee VBG cord-338895-c2wzjbgb 289 36 the the DT cord-338895-c2wzjbgb 289 37 future future NN cord-338895-c2wzjbgb 289 38 of of IN cord-338895-c2wzjbgb 289 39 technological technological JJ cord-338895-c2wzjbgb 289 40 progress progress NN cord-338895-c2wzjbgb 289 41 Encyclopedia encyclopedia NN cord-338895-c2wzjbgb 289 42 of of IN cord-338895-c2wzjbgb 290 1 Distances distance NNS cord-338895-c2wzjbgb 290 2 Clustering cluster VBG cord-338895-c2wzjbgb 290 3 Algorithms Algorithms NNP cord-338895-c2wzjbgb 290 4 Multidimensional multidimensional JJ cord-338895-c2wzjbgb 290 5 scaling scale VBG cord-338895-c2wzjbgb 290 6 visualization visualization NN cord-338895-c2wzjbgb 290 7 using use VBG cord-338895-c2wzjbgb 290 8 parametric parametric JJ cord-338895-c2wzjbgb 290 9 similarity similarity NN cord-338895-c2wzjbgb 290 10 indices index NNS cord-338895-c2wzjbgb 290 11 On on IN cord-338895-c2wzjbgb 290 12 the the DT cord-338895-c2wzjbgb 290 13 Surprising surprising JJ cord-338895-c2wzjbgb 290 14 Behavior Behavior NNP cord-338895-c2wzjbgb 290 15 of of IN cord-338895-c2wzjbgb 290 16 Distance Distance NNP cord-338895-c2wzjbgb 290 17 Metrics Metrics NNPS cord-338895-c2wzjbgb 290 18 in in IN cord-338895-c2wzjbgb 290 19 High high JJ cord-338895-c2wzjbgb 290 20 Dimensional dimensional JJ cord-338895-c2wzjbgb 290 21 Space space NN cord-338895-c2wzjbgb 291 1 The the DT cord-338895-c2wzjbgb 291 2 comparison comparison NN cord-338895-c2wzjbgb 291 3 of of IN cord-338895-c2wzjbgb 291 4 dendrograms dendrogram NNS cord-338895-c2wzjbgb 291 5 by by IN cord-338895-c2wzjbgb 291 6 objective objective JJ cord-338895-c2wzjbgb 291 7 methods method NNS cord-338895-c2wzjbgb 291 8 PHYLIP PHYLIP NNP cord-338895-c2wzjbgb 291 9 ( ( -LRB- cord-338895-c2wzjbgb 291 10 phylogeny phylogeny NN cord-338895-c2wzjbgb 291 11 inference inference NN cord-338895-c2wzjbgb 291 12 package package NN cord-338895-c2wzjbgb 291 13 ) ) -RRB- cord-338895-c2wzjbgb 291 14 , , , cord-338895-c2wzjbgb 291 15 version version NN cord-338895-c2wzjbgb 291 16 3.5 3.5 CD cord-338895-c2wzjbgb 291 17 c c NN cord-338895-c2wzjbgb 291 18 A a DT cord-338895-c2wzjbgb 291 19 survey survey NN cord-338895-c2wzjbgb 291 20 on on IN cord-338895-c2wzjbgb 291 21 multidimensional multidimensional JJ cord-338895-c2wzjbgb 291 22 scaling scale VBG cord-338895-c2wzjbgb 291 23 Landmark Landmark NNP cord-338895-c2wzjbgb 291 24 methods method NNS cord-338895-c2wzjbgb 291 25 for for IN cord-338895-c2wzjbgb 291 26 forms form NNS cord-338895-c2wzjbgb 291 27 without without IN cord-338895-c2wzjbgb 291 28 landmarks landmark NNS cord-338895-c2wzjbgb 291 29 : : : cord-338895-c2wzjbgb 291 30 morphometrics morphometric NNS cord-338895-c2wzjbgb 291 31 of of IN cord-338895-c2wzjbgb 291 32 group group NN cord-338895-c2wzjbgb 291 33 differences difference NNS cord-338895-c2wzjbgb 291 34 in in IN cord-338895-c2wzjbgb 292 1 outline outline NNP cord-338895-c2wzjbgb 292 2 shape shape NN cord-338895-c2wzjbgb 293 1 Procrustes Procrustes NNP cord-338895-c2wzjbgb 293 2 Problems problem NNS cord-338895-c2wzjbgb 294 1 A a DT cord-338895-c2wzjbgb 294 2 brief brief JJ cord-338895-c2wzjbgb 294 3 introduction introduction NN cord-338895-c2wzjbgb 294 4 to to IN cord-338895-c2wzjbgb 294 5 statistical statistical JJ cord-338895-c2wzjbgb 294 6 shape shape NN cord-338895-c2wzjbgb 294 7 analysis analysis NN cord-338895-c2wzjbgb 294 8 Multidimensional multidimensional JJ cord-338895-c2wzjbgb 294 9 scaling scale VBG cord-338895-c2wzjbgb 294 10 visualization visualization NN cord-338895-c2wzjbgb 294 11 using use VBG cord-338895-c2wzjbgb 294 12 parametric parametric JJ cord-338895-c2wzjbgb 294 13 entropy entropy NN cord-338895-c2wzjbgb 294 14 Analysis Analysis NNP cord-338895-c2wzjbgb 294 15 of of IN cord-338895-c2wzjbgb 294 16 global global JJ cord-338895-c2wzjbgb 294 17 terrorism terrorism NN cord-338895-c2wzjbgb 294 18 dynamics dynamic NNS cord-338895-c2wzjbgb 294 19 by by IN cord-338895-c2wzjbgb 294 20 means mean NNS cord-338895-c2wzjbgb 294 21 of of IN cord-338895-c2wzjbgb 294 22 entropy entropy NN cord-338895-c2wzjbgb 294 23 and and CC cord-338895-c2wzjbgb 294 24 state state NN cord-338895-c2wzjbgb 294 25 space space NN cord-338895-c2wzjbgb 294 26 portrait portrait NN cord-338895-c2wzjbgb 294 27 Complex complex JJ cord-338895-c2wzjbgb 294 28 dynamics dynamic NNS cord-338895-c2wzjbgb 294 29 of of IN cord-338895-c2wzjbgb 294 30 financial financial JJ cord-338895-c2wzjbgb 294 31 indices index NNS cord-338895-c2wzjbgb 295 1 Relativistic relativistic JJ cord-338895-c2wzjbgb 295 2 time time NN cord-338895-c2wzjbgb 295 3 effects effect NNS cord-338895-c2wzjbgb 295 4 in in IN cord-338895-c2wzjbgb 295 5 financial financial JJ cord-338895-c2wzjbgb 295 6 dynamics dynamic NNS cord-338895-c2wzjbgb 295 7 Prediction Prediction NNP cord-338895-c2wzjbgb 295 8 is be VBZ cord-338895-c2wzjbgb 295 9 very very RB cord-338895-c2wzjbgb 295 10 difficult difficult JJ cord-338895-c2wzjbgb 295 11 , , , cord-338895-c2wzjbgb 295 12 especially especially RB cord-338895-c2wzjbgb 295 13 if if IN cord-338895-c2wzjbgb 295 14 it -PRON- PRP cord-338895-c2wzjbgb 295 15 's be VBZ cord-338895-c2wzjbgb 295 16 about about IN cord-338895-c2wzjbgb 295 17 the the DT cord-338895-c2wzjbgb 295 18 future future JJ cord-338895-c2wzjbgb 295 19 Conflict conflict NN cord-338895-c2wzjbgb 295 20 of of IN cord-338895-c2wzjbgb 295 21 interest interest NN cord-338895-c2wzjbgb 296 1 The the DT cord-338895-c2wzjbgb 296 2 authors author NNS cord-338895-c2wzjbgb 296 3 declare declare VBP cord-338895-c2wzjbgb 296 4 that that IN cord-338895-c2wzjbgb 296 5 they -PRON- PRP cord-338895-c2wzjbgb 296 6 have have VBP cord-338895-c2wzjbgb 296 7 no no DT cord-338895-c2wzjbgb 296 8 conflict conflict NN cord-338895-c2wzjbgb 296 9 of of IN cord-338895-c2wzjbgb 296 10 interest interest NN cord-338895-c2wzjbgb 296 11 . . .