id sid tid token lemma pos cord-286305-2bwlxlfo 1 1 key key NN cord-286305-2bwlxlfo 1 2 : : : cord-286305-2bwlxlfo 2 1 cord-286305 cord-286305 NNP cord-286305-2bwlxlfo 2 2 - - HYPH cord-286305-2bwlxlfo 2 3 2bwlxlfo 2bwlxlfo CD cord-286305-2bwlxlfo 2 4 authors author NNS cord-286305-2bwlxlfo 2 5 : : : cord-286305-2bwlxlfo 2 6 Ciufolini Ciufolini NNP cord-286305-2bwlxlfo 2 7 , , , cord-286305-2bwlxlfo 2 8 Ignazio Ignazio NNP cord-286305-2bwlxlfo 2 9 ; ; : cord-286305-2bwlxlfo 2 10 Paolozzi Paolozzi NNP cord-286305-2bwlxlfo 2 11 , , , cord-286305-2bwlxlfo 2 12 Antonio Antonio NNP cord-286305-2bwlxlfo 2 13 title title NN cord-286305-2bwlxlfo 2 14 : : : cord-286305-2bwlxlfo 2 15 Mathematical mathematical JJ cord-286305-2bwlxlfo 2 16 prediction prediction NN cord-286305-2bwlxlfo 2 17 of of IN cord-286305-2bwlxlfo 2 18 the the DT cord-286305-2bwlxlfo 2 19 time time NN cord-286305-2bwlxlfo 2 20 evolution evolution NN cord-286305-2bwlxlfo 2 21 of of IN cord-286305-2bwlxlfo 2 22 the the DT cord-286305-2bwlxlfo 2 23 COVID-19 covid-19 JJ cord-286305-2bwlxlfo 2 24 pandemic pandemic NN cord-286305-2bwlxlfo 2 25 in in IN cord-286305-2bwlxlfo 2 26 Italy Italy NNP cord-286305-2bwlxlfo 2 27 by by IN cord-286305-2bwlxlfo 2 28 a a DT cord-286305-2bwlxlfo 2 29 Gauss Gauss NNP cord-286305-2bwlxlfo 2 30 error error NN cord-286305-2bwlxlfo 2 31 function function NN cord-286305-2bwlxlfo 2 32 and and CC cord-286305-2bwlxlfo 2 33 Monte Monte NNP cord-286305-2bwlxlfo 2 34 Carlo Carlo NNP cord-286305-2bwlxlfo 2 35 simulations simulation NNS cord-286305-2bwlxlfo 2 36 date date NN cord-286305-2bwlxlfo 2 37 : : : cord-286305-2bwlxlfo 2 38 2020 2020 CD cord-286305-2bwlxlfo 2 39 - - HYPH cord-286305-2bwlxlfo 2 40 04 04 CD cord-286305-2bwlxlfo 2 41 - - SYM cord-286305-2bwlxlfo 2 42 15 15 CD cord-286305-2bwlxlfo 2 43 journal journal NN cord-286305-2bwlxlfo 2 44 : : : cord-286305-2bwlxlfo 3 1 Eur Eur NNP cord-286305-2bwlxlfo 3 2 Phys Phys NNP cord-286305-2bwlxlfo 3 3 J J NNP cord-286305-2bwlxlfo 4 1 Plus plus CC cord-286305-2bwlxlfo 4 2 DOI doi NN cord-286305-2bwlxlfo 4 3 : : : cord-286305-2bwlxlfo 5 1 10.1140 10.1140 CD cord-286305-2bwlxlfo 5 2 / / SYM cord-286305-2bwlxlfo 5 3 epjp epjp NNP cord-286305-2bwlxlfo 5 4 / / SYM cord-286305-2bwlxlfo 5 5 s13360 s13360 NN cord-286305-2bwlxlfo 5 6 - - HYPH cord-286305-2bwlxlfo 5 7 020 020 CD cord-286305-2bwlxlfo 5 8 - - HYPH cord-286305-2bwlxlfo 5 9 00383-y 00383-y CD cord-286305-2bwlxlfo 6 1 sha sha NNP cord-286305-2bwlxlfo 6 2 : : : cord-286305-2bwlxlfo 6 3 3db88b442b2c693d0783756c733c55bcec669df0 3db88b442b2c693d0783756c733c55bcec669df0 NNP cord-286305-2bwlxlfo 6 4 doc_id doc_id CD cord-286305-2bwlxlfo 6 5 : : : cord-286305-2bwlxlfo 7 1 286305 286305 CD cord-286305-2bwlxlfo 7 2 cord_uid cord_uid NNS cord-286305-2bwlxlfo 7 3 : : : cord-286305-2bwlxlfo 7 4 2bwlxlfo 2bwlxlfo CD cord-286305-2bwlxlfo 8 1 In in IN cord-286305-2bwlxlfo 8 2 this this DT cord-286305-2bwlxlfo 8 3 paper paper NN cord-286305-2bwlxlfo 8 4 are be VBP cord-286305-2bwlxlfo 8 5 presented present VBN cord-286305-2bwlxlfo 8 6 mathematical mathematical JJ cord-286305-2bwlxlfo 8 7 predictions prediction NNS cord-286305-2bwlxlfo 8 8 on on IN cord-286305-2bwlxlfo 8 9 the the DT cord-286305-2bwlxlfo 8 10 evolution evolution NN cord-286305-2bwlxlfo 8 11 in in IN cord-286305-2bwlxlfo 8 12 time time NN cord-286305-2bwlxlfo 8 13 of of IN cord-286305-2bwlxlfo 8 14 the the DT cord-286305-2bwlxlfo 8 15 number number NN cord-286305-2bwlxlfo 8 16 of of IN cord-286305-2bwlxlfo 8 17 positive positive JJ cord-286305-2bwlxlfo 8 18 cases case NNS cord-286305-2bwlxlfo 8 19 in in IN cord-286305-2bwlxlfo 8 20 Italy Italy NNP cord-286305-2bwlxlfo 8 21 of of IN cord-286305-2bwlxlfo 8 22 the the DT cord-286305-2bwlxlfo 8 23 COVID-19 COVID-19 NNP cord-286305-2bwlxlfo 8 24 pandemic pandemic NN cord-286305-2bwlxlfo 8 25 based base VBN cord-286305-2bwlxlfo 8 26 on on IN cord-286305-2bwlxlfo 8 27 official official JJ cord-286305-2bwlxlfo 8 28 data datum NNS cord-286305-2bwlxlfo 8 29 and and CC cord-286305-2bwlxlfo 8 30 on on IN cord-286305-2bwlxlfo 8 31 the the DT cord-286305-2bwlxlfo 8 32 use use NN cord-286305-2bwlxlfo 8 33 of of IN cord-286305-2bwlxlfo 8 34 a a DT cord-286305-2bwlxlfo 8 35 function function NN cord-286305-2bwlxlfo 8 36 of of IN cord-286305-2bwlxlfo 8 37 the the DT cord-286305-2bwlxlfo 8 38 type type NN cord-286305-2bwlxlfo 8 39 of of IN cord-286305-2bwlxlfo 8 40 a a DT cord-286305-2bwlxlfo 8 41 Gauss Gauss NNP cord-286305-2bwlxlfo 8 42 error error NN cord-286305-2bwlxlfo 8 43 function function NN cord-286305-2bwlxlfo 8 44 , , , cord-286305-2bwlxlfo 8 45 with with IN cord-286305-2bwlxlfo 8 46 four four CD cord-286305-2bwlxlfo 8 47 parameters parameter NNS cord-286305-2bwlxlfo 8 48 , , , cord-286305-2bwlxlfo 8 49 as as IN cord-286305-2bwlxlfo 8 50 a a DT cord-286305-2bwlxlfo 8 51 cumulative cumulative JJ cord-286305-2bwlxlfo 8 52 distribution distribution NN cord-286305-2bwlxlfo 8 53 function function NN cord-286305-2bwlxlfo 8 54 . . . cord-286305-2bwlxlfo 9 1 We -PRON- PRP cord-286305-2bwlxlfo 9 2 have have VBP cord-286305-2bwlxlfo 9 3 analyzed analyze VBN cord-286305-2bwlxlfo 9 4 the the DT cord-286305-2bwlxlfo 9 5 available available JJ cord-286305-2bwlxlfo 9 6 data datum NNS cord-286305-2bwlxlfo 9 7 for for IN cord-286305-2bwlxlfo 9 8 China China NNP cord-286305-2bwlxlfo 9 9 and and CC cord-286305-2bwlxlfo 9 10 Italy Italy NNP cord-286305-2bwlxlfo 9 11 . . . cord-286305-2bwlxlfo 10 1 The the DT cord-286305-2bwlxlfo 10 2 evolution evolution NN cord-286305-2bwlxlfo 10 3 in in IN cord-286305-2bwlxlfo 10 4 time time NN cord-286305-2bwlxlfo 10 5 of of IN cord-286305-2bwlxlfo 10 6 the the DT cord-286305-2bwlxlfo 10 7 number number NN cord-286305-2bwlxlfo 10 8 of of IN cord-286305-2bwlxlfo 10 9 cumulative cumulative JJ cord-286305-2bwlxlfo 10 10 diagnosed diagnose VBN cord-286305-2bwlxlfo 10 11 positive positive JJ cord-286305-2bwlxlfo 10 12 cases case NNS cord-286305-2bwlxlfo 10 13 of of IN cord-286305-2bwlxlfo 10 14 COVID-19 covid-19 CD cord-286305-2bwlxlfo 10 15 in in IN cord-286305-2bwlxlfo 10 16 China China NNP cord-286305-2bwlxlfo 10 17 very very RB cord-286305-2bwlxlfo 10 18 well well RB cord-286305-2bwlxlfo 10 19 approximates approximate VBZ cord-286305-2bwlxlfo 10 20 a a DT cord-286305-2bwlxlfo 10 21 distribution distribution NN cord-286305-2bwlxlfo 10 22 of of IN cord-286305-2bwlxlfo 10 23 the the DT cord-286305-2bwlxlfo 10 24 type type NN cord-286305-2bwlxlfo 10 25 of of IN cord-286305-2bwlxlfo 10 26 the the DT cord-286305-2bwlxlfo 10 27 error error NN cord-286305-2bwlxlfo 10 28 function function NN cord-286305-2bwlxlfo 10 29 , , , cord-286305-2bwlxlfo 10 30 that that RB cord-286305-2bwlxlfo 10 31 is is RB cord-286305-2bwlxlfo 10 32 , , , cord-286305-2bwlxlfo 10 33 the the DT cord-286305-2bwlxlfo 10 34 integral integral NN cord-286305-2bwlxlfo 10 35 of of IN cord-286305-2bwlxlfo 10 36 a a DT cord-286305-2bwlxlfo 10 37 normal normal JJ cord-286305-2bwlxlfo 10 38 , , , cord-286305-2bwlxlfo 10 39 Gaussian gaussian JJ cord-286305-2bwlxlfo 10 40 distribution distribution NN cord-286305-2bwlxlfo 10 41 . . . cord-286305-2bwlxlfo 11 1 We -PRON- PRP cord-286305-2bwlxlfo 11 2 have have VBP cord-286305-2bwlxlfo 11 3 then then RB cord-286305-2bwlxlfo 11 4 used use VBN cord-286305-2bwlxlfo 11 5 such such PDT cord-286305-2bwlxlfo 11 6 a a DT cord-286305-2bwlxlfo 11 7 function function NN cord-286305-2bwlxlfo 11 8 to to TO cord-286305-2bwlxlfo 11 9 study study VB cord-286305-2bwlxlfo 11 10 the the DT cord-286305-2bwlxlfo 11 11 potential potential JJ cord-286305-2bwlxlfo 11 12 evolution evolution NN cord-286305-2bwlxlfo 11 13 in in IN cord-286305-2bwlxlfo 11 14 time time NN cord-286305-2bwlxlfo 11 15 of of IN cord-286305-2bwlxlfo 11 16 the the DT cord-286305-2bwlxlfo 11 17 number number NN cord-286305-2bwlxlfo 11 18 of of IN cord-286305-2bwlxlfo 11 19 positive positive JJ cord-286305-2bwlxlfo 11 20 cases case NNS cord-286305-2bwlxlfo 11 21 in in IN cord-286305-2bwlxlfo 11 22 Italy Italy NNP cord-286305-2bwlxlfo 11 23 by by IN cord-286305-2bwlxlfo 11 24 performing perform VBG cord-286305-2bwlxlfo 11 25 a a DT cord-286305-2bwlxlfo 11 26 number number NN cord-286305-2bwlxlfo 11 27 of of IN cord-286305-2bwlxlfo 11 28 fits fit NNS cord-286305-2bwlxlfo 11 29 of of IN cord-286305-2bwlxlfo 11 30 the the DT cord-286305-2bwlxlfo 11 31 official official JJ cord-286305-2bwlxlfo 11 32 data datum NNS cord-286305-2bwlxlfo 11 33 so so RB cord-286305-2bwlxlfo 11 34 far far RB cord-286305-2bwlxlfo 11 35 available available JJ cord-286305-2bwlxlfo 11 36 . . . cord-286305-2bwlxlfo 12 1 We -PRON- PRP cord-286305-2bwlxlfo 12 2 then then RB cord-286305-2bwlxlfo 12 3 found find VBD cord-286305-2bwlxlfo 12 4 a a DT cord-286305-2bwlxlfo 12 5 statistical statistical JJ cord-286305-2bwlxlfo 12 6 prediction prediction NN cord-286305-2bwlxlfo 12 7 for for IN cord-286305-2bwlxlfo 12 8 the the DT cord-286305-2bwlxlfo 12 9 day day NN cord-286305-2bwlxlfo 12 10 in in IN cord-286305-2bwlxlfo 12 11 which which WDT cord-286305-2bwlxlfo 12 12 the the DT cord-286305-2bwlxlfo 12 13 peak peak NN cord-286305-2bwlxlfo 12 14 of of IN cord-286305-2bwlxlfo 12 15 the the DT cord-286305-2bwlxlfo 12 16 number number NN cord-286305-2bwlxlfo 12 17 of of IN cord-286305-2bwlxlfo 12 18 daily daily JJ cord-286305-2bwlxlfo 12 19 positive positive JJ cord-286305-2bwlxlfo 12 20 cases case NNS cord-286305-2bwlxlfo 12 21 in in IN cord-286305-2bwlxlfo 12 22 Italy Italy NNP cord-286305-2bwlxlfo 12 23 occurs occur VBZ cord-286305-2bwlxlfo 12 24 , , , cord-286305-2bwlxlfo 12 25 corresponding correspond VBG cord-286305-2bwlxlfo 12 26 to to IN cord-286305-2bwlxlfo 12 27 the the DT cord-286305-2bwlxlfo 12 28 flex flex NN cord-286305-2bwlxlfo 12 29 of of IN cord-286305-2bwlxlfo 12 30 the the DT cord-286305-2bwlxlfo 12 31 fit fit NN cord-286305-2bwlxlfo 12 32 , , , cord-286305-2bwlxlfo 12 33 that that RB cord-286305-2bwlxlfo 12 34 is is RB cord-286305-2bwlxlfo 12 35 , , , cord-286305-2bwlxlfo 12 36 to to IN cord-286305-2bwlxlfo 12 37 the the DT cord-286305-2bwlxlfo 12 38 change change NN cord-286305-2bwlxlfo 12 39 in in IN cord-286305-2bwlxlfo 12 40 sign sign NN cord-286305-2bwlxlfo 12 41 of of IN cord-286305-2bwlxlfo 12 42 its -PRON- PRP$ cord-286305-2bwlxlfo 12 43 second second JJ cord-286305-2bwlxlfo 12 44 derivative derivative NN cord-286305-2bwlxlfo 12 45 ( ( -LRB- cord-286305-2bwlxlfo 12 46 i.e. i.e. FW cord-286305-2bwlxlfo 12 47 , , , cord-286305-2bwlxlfo 12 48 the the DT cord-286305-2bwlxlfo 12 49 change change NN cord-286305-2bwlxlfo 12 50 from from IN cord-286305-2bwlxlfo 12 51 acceleration acceleration NN cord-286305-2bwlxlfo 12 52 to to IN cord-286305-2bwlxlfo 12 53 deceleration deceleration NN cord-286305-2bwlxlfo 12 54 ) ) -RRB- cord-286305-2bwlxlfo 12 55 , , , cord-286305-2bwlxlfo 12 56 as as RB cord-286305-2bwlxlfo 12 57 well well RB cord-286305-2bwlxlfo 12 58 as as IN cord-286305-2bwlxlfo 12 59 of of IN cord-286305-2bwlxlfo 12 60 the the DT cord-286305-2bwlxlfo 12 61 day day NN cord-286305-2bwlxlfo 12 62 in in IN cord-286305-2bwlxlfo 12 63 which which WDT cord-286305-2bwlxlfo 12 64 a a DT cord-286305-2bwlxlfo 12 65 substantial substantial JJ cord-286305-2bwlxlfo 12 66 attenuation attenuation NN cord-286305-2bwlxlfo 12 67 of of IN cord-286305-2bwlxlfo 12 68 such such JJ cord-286305-2bwlxlfo 12 69 number number NN cord-286305-2bwlxlfo 12 70 of of IN cord-286305-2bwlxlfo 12 71 daily daily JJ cord-286305-2bwlxlfo 12 72 cases case NNS cord-286305-2bwlxlfo 12 73 is be VBZ cord-286305-2bwlxlfo 12 74 reached reach VBN cord-286305-2bwlxlfo 12 75 . . . cord-286305-2bwlxlfo 13 1 We -PRON- PRP cord-286305-2bwlxlfo 13 2 have have VBP cord-286305-2bwlxlfo 13 3 also also RB cord-286305-2bwlxlfo 13 4 analyzed analyze VBN cord-286305-2bwlxlfo 13 5 the the DT cord-286305-2bwlxlfo 13 6 predictions prediction NNS cord-286305-2bwlxlfo 13 7 of of IN cord-286305-2bwlxlfo 13 8 the the DT cord-286305-2bwlxlfo 13 9 cumulative cumulative JJ cord-286305-2bwlxlfo 13 10 number number NN cord-286305-2bwlxlfo 13 11 of of IN cord-286305-2bwlxlfo 13 12 fatalities fatality NNS cord-286305-2bwlxlfo 13 13 in in IN cord-286305-2bwlxlfo 13 14 both both CC cord-286305-2bwlxlfo 13 15 China China NNP cord-286305-2bwlxlfo 13 16 and and CC cord-286305-2bwlxlfo 13 17 Italy Italy NNP cord-286305-2bwlxlfo 13 18 , , , cord-286305-2bwlxlfo 13 19 obtaining obtain VBG cord-286305-2bwlxlfo 13 20 consistent consistent JJ cord-286305-2bwlxlfo 13 21 results result NNS cord-286305-2bwlxlfo 13 22 . . . cord-286305-2bwlxlfo 14 1 We -PRON- PRP cord-286305-2bwlxlfo 14 2 have have VBP cord-286305-2bwlxlfo 14 3 then then RB cord-286305-2bwlxlfo 14 4 performed perform VBN cord-286305-2bwlxlfo 14 5 150 150 CD cord-286305-2bwlxlfo 14 6 Monte Monte NNP cord-286305-2bwlxlfo 14 7 Carlo Carlo NNP cord-286305-2bwlxlfo 14 8 simulations simulation NNS cord-286305-2bwlxlfo 14 9 to to TO cord-286305-2bwlxlfo 14 10 have have VB cord-286305-2bwlxlfo 14 11 a a DT cord-286305-2bwlxlfo 14 12 more more RBR cord-286305-2bwlxlfo 14 13 robust robust JJ cord-286305-2bwlxlfo 14 14 prediction prediction NN cord-286305-2bwlxlfo 14 15 of of IN cord-286305-2bwlxlfo 14 16 the the DT cord-286305-2bwlxlfo 14 17 day day NN cord-286305-2bwlxlfo 14 18 of of IN cord-286305-2bwlxlfo 14 19 the the DT cord-286305-2bwlxlfo 14 20 above above RB cord-286305-2bwlxlfo 14 21 - - HYPH cord-286305-2bwlxlfo 14 22 mentioned mention VBN cord-286305-2bwlxlfo 14 23 peak peak NN cord-286305-2bwlxlfo 14 24 and and CC cord-286305-2bwlxlfo 14 25 of of IN cord-286305-2bwlxlfo 14 26 the the DT cord-286305-2bwlxlfo 14 27 day day NN cord-286305-2bwlxlfo 14 28 of of IN cord-286305-2bwlxlfo 14 29 the the DT cord-286305-2bwlxlfo 14 30 substantial substantial JJ cord-286305-2bwlxlfo 14 31 decrease decrease NN cord-286305-2bwlxlfo 14 32 in in IN cord-286305-2bwlxlfo 14 33 the the DT cord-286305-2bwlxlfo 14 34 number number NN cord-286305-2bwlxlfo 14 35 of of IN cord-286305-2bwlxlfo 14 36 daily daily JJ cord-286305-2bwlxlfo 14 37 positive positive JJ cord-286305-2bwlxlfo 14 38 cases case NNS cord-286305-2bwlxlfo 14 39 and and CC cord-286305-2bwlxlfo 14 40 fatalities fatality NNS cord-286305-2bwlxlfo 14 41 . . . cord-286305-2bwlxlfo 15 1 Although although IN cord-286305-2bwlxlfo 15 2 official official JJ cord-286305-2bwlxlfo 15 3 data datum NNS cord-286305-2bwlxlfo 15 4 have have VBP cord-286305-2bwlxlfo 15 5 been be VBN cord-286305-2bwlxlfo 15 6 used use VBN cord-286305-2bwlxlfo 15 7 , , , cord-286305-2bwlxlfo 15 8 those those DT cord-286305-2bwlxlfo 15 9 predictions prediction NNS cord-286305-2bwlxlfo 15 10 are be VBP cord-286305-2bwlxlfo 15 11 obtained obtain VBN cord-286305-2bwlxlfo 15 12 with with IN cord-286305-2bwlxlfo 15 13 a a DT cord-286305-2bwlxlfo 15 14 heuristic heuristic JJ cord-286305-2bwlxlfo 15 15 approach approach NN cord-286305-2bwlxlfo 15 16 since since IN cord-286305-2bwlxlfo 15 17 they -PRON- PRP cord-286305-2bwlxlfo 15 18 are be VBP cord-286305-2bwlxlfo 15 19 based base VBN cord-286305-2bwlxlfo 15 20 on on IN cord-286305-2bwlxlfo 15 21 a a DT cord-286305-2bwlxlfo 15 22 statistical statistical JJ cord-286305-2bwlxlfo 15 23 approach approach NN cord-286305-2bwlxlfo 15 24 and and CC cord-286305-2bwlxlfo 15 25 do do VBP cord-286305-2bwlxlfo 15 26 not not RB cord-286305-2bwlxlfo 15 27 take take VB cord-286305-2bwlxlfo 15 28 into into IN cord-286305-2bwlxlfo 15 29 account account NN cord-286305-2bwlxlfo 15 30 either either CC cord-286305-2bwlxlfo 15 31 a a DT cord-286305-2bwlxlfo 15 32 number number NN cord-286305-2bwlxlfo 15 33 of of IN cord-286305-2bwlxlfo 15 34 relevant relevant JJ cord-286305-2bwlxlfo 15 35 issues issue NNS cord-286305-2bwlxlfo 15 36 ( ( -LRB- cord-286305-2bwlxlfo 15 37 such such JJ cord-286305-2bwlxlfo 15 38 as as IN cord-286305-2bwlxlfo 15 39 number number NN cord-286305-2bwlxlfo 15 40 of of IN cord-286305-2bwlxlfo 15 41 daily daily JJ cord-286305-2bwlxlfo 15 42 nasopharyngeal nasopharyngeal JJ cord-286305-2bwlxlfo 15 43 swabs swab NNS cord-286305-2bwlxlfo 15 44 , , , cord-286305-2bwlxlfo 15 45 medical medical JJ cord-286305-2bwlxlfo 15 46 , , , cord-286305-2bwlxlfo 15 47 social social JJ cord-286305-2bwlxlfo 15 48 distancing distancing NN cord-286305-2bwlxlfo 15 49 , , , cord-286305-2bwlxlfo 15 50 virological virological JJ cord-286305-2bwlxlfo 15 51 and and CC cord-286305-2bwlxlfo 15 52 epidemiological epidemiological JJ cord-286305-2bwlxlfo 15 53 ) ) -RRB- cord-286305-2bwlxlfo 15 54 or or CC cord-286305-2bwlxlfo 15 55 models model NNS cord-286305-2bwlxlfo 15 56 of of IN cord-286305-2bwlxlfo 15 57 contamination contamination NN cord-286305-2bwlxlfo 15 58 diffusion diffusion NN cord-286305-2bwlxlfo 15 59 . . . cord-286305-2bwlxlfo 16 1 By by IN cord-286305-2bwlxlfo 16 2 considering consider VBG cord-286305-2bwlxlfo 16 3 the the DT cord-286305-2bwlxlfo 16 4 cumulative cumulative JJ cord-286305-2bwlxlfo 16 5 diagnosed diagnose VBN cord-286305-2bwlxlfo 16 6 positive positive JJ cord-286305-2bwlxlfo 16 7 cases case NNS cord-286305-2bwlxlfo 16 8 of of IN cord-286305-2bwlxlfo 16 9 COVID-19 covid-19 JJ cord-286305-2bwlxlfo 16 10 infections infection NNS cord-286305-2bwlxlfo 16 11 and and CC cord-286305-2bwlxlfo 16 12 fatalities fatality NNS cord-286305-2bwlxlfo 16 13 available available JJ cord-286305-2bwlxlfo 16 14 in in IN cord-286305-2bwlxlfo 16 15 the the DT cord-286305-2bwlxlfo 16 16 Web web NN cord-286305-2bwlxlfo 16 17 site site NN cord-286305-2bwlxlfo 16 18 of of IN cord-286305-2bwlxlfo 16 19 the the DT cord-286305-2bwlxlfo 16 20 Italian italian JJ cord-286305-2bwlxlfo 16 21 " " `` cord-286305-2bwlxlfo 16 22 Ministero Ministero NNP cord-286305-2bwlxlfo 16 23 della della NNP cord-286305-2bwlxlfo 16 24 Salute Salute NNP cord-286305-2bwlxlfo 16 25 " " '' cord-286305-2bwlxlfo 16 26 [ [ -LRB- cord-286305-2bwlxlfo 16 27 1 1 CD cord-286305-2bwlxlfo 16 28 ] ] -RRB- cord-286305-2bwlxlfo 16 29 , , , cord-286305-2bwlxlfo 16 30 Worldometer Worldometer NNP cord-286305-2bwlxlfo 16 31 [ [ -LRB- cord-286305-2bwlxlfo 16 32 2 2 CD cord-286305-2bwlxlfo 16 33 ] ] -RRB- cord-286305-2bwlxlfo 16 34 and and CC cord-286305-2bwlxlfo 16 35 World World NNP cord-286305-2bwlxlfo 16 36 Health Health NNP cord-286305-2bwlxlfo 16 37 Organization Organization NNP cord-286305-2bwlxlfo 16 38 [ [ -LRB- cord-286305-2bwlxlfo 16 39 3 3 CD cord-286305-2bwlxlfo 16 40 ] ] -RRB- cord-286305-2bwlxlfo 16 41 , , , cord-286305-2bwlxlfo 16 42 we -PRON- PRP cord-286305-2bwlxlfo 16 43 found find VBD cord-286305-2bwlxlfo 16 44 that that IN cord-286305-2bwlxlfo 16 45 they -PRON- PRP cord-286305-2bwlxlfo 16 46 can can MD cord-286305-2bwlxlfo 16 47 be be VB cord-286305-2bwlxlfo 16 48 well well RB cord-286305-2bwlxlfo 16 49 approximated approximate VBN cord-286305-2bwlxlfo 16 50 by by IN cord-286305-2bwlxlfo 16 51 a a DT cord-286305-2bwlxlfo 16 52 cumulative cumulative JJ cord-286305-2bwlxlfo 16 53 distribution distribution NN cord-286305-2bwlxlfo 16 54 function function NN cord-286305-2bwlxlfo 16 55 ( ( -LRB- cord-286305-2bwlxlfo 16 56 CDF CDF NNP cord-286305-2bwlxlfo 16 57 ) ) -RRB- cord-286305-2bwlxlfo 16 58 with with IN cord-286305-2bwlxlfo 16 59 four four CD cord-286305-2bwlxlfo 16 60 parameters parameter NNS cord-286305-2bwlxlfo 16 61 of of IN cord-286305-2bwlxlfo 16 62 the the DT cord-286305-2bwlxlfo 16 63 type type NN cord-286305-2bwlxlfo 16 64 of of IN cord-286305-2bwlxlfo 16 65 the the DT cord-286305-2bwlxlfo 16 66 Gauss Gauss NNP cord-286305-2bwlxlfo 16 67 error error NN cord-286305-2bwlxlfo 16 68 function function NN cord-286305-2bwlxlfo 16 69 , , , cord-286305-2bwlxlfo 16 70 that that RB cord-286305-2bwlxlfo 16 71 is is RB cord-286305-2bwlxlfo 16 72 , , , cord-286305-2bwlxlfo 16 73 the the DT cord-286305-2bwlxlfo 16 74 integral integral NN cord-286305-2bwlxlfo 16 75 of of IN cord-286305-2bwlxlfo 16 76 a a DT cord-286305-2bwlxlfo 16 77 normal normal JJ cord-286305-2bwlxlfo 16 78 , , , cord-286305-2bwlxlfo 16 79 Gaussian gaussian JJ cord-286305-2bwlxlfo 16 80 distribution distribution NN cord-286305-2bwlxlfo 16 81 ( ( -LRB- cord-286305-2bwlxlfo 16 82 see see VB cord-286305-2bwlxlfo 16 83 Sect Sect NNP cord-286305-2bwlxlfo 16 84 . . . cord-286305-2bwlxlfo 17 1 2 2 LS cord-286305-2bwlxlfo 17 2 ) ) -RRB- cord-286305-2bwlxlfo 17 3 . . . cord-286305-2bwlxlfo 18 1 By by IN cord-286305-2bwlxlfo 18 2 positive positive JJ cord-286305-2bwlxlfo 18 3 cases case NNS cord-286305-2bwlxlfo 18 4 , , , cord-286305-2bwlxlfo 18 5 we -PRON- PRP cord-286305-2bwlxlfo 18 6 mean mean VBP cord-286305-2bwlxlfo 18 7 the the DT cord-286305-2bwlxlfo 18 8 positive positive JJ cord-286305-2bwlxlfo 18 9 cases case NNS cord-286305-2bwlxlfo 18 10 actually actually RB cord-286305-2bwlxlfo 18 11 diagnosed diagnose VBN cord-286305-2bwlxlfo 18 12 plus plus CC cord-286305-2bwlxlfo 18 13 , , , cord-286305-2bwlxlfo 18 14 for for IN cord-286305-2bwlxlfo 18 15 future future JJ cord-286305-2bwlxlfo 18 16 days day NNS cord-286305-2bwlxlfo 18 17 , , , cord-286305-2bwlxlfo 18 18 the the DT cord-286305-2bwlxlfo 18 19 positive positive JJ cord-286305-2bwlxlfo 18 20 cases case NNS cord-286305-2bwlxlfo 18 21 that that WDT cord-286305-2bwlxlfo 18 22 we -PRON- PRP cord-286305-2bwlxlfo 18 23 expect expect VBP cord-286305-2bwlxlfo 18 24 a a DT cord-286305-2bwlxlfo 18 25 e e NN cord-286305-2bwlxlfo 18 26 - - NN cord-286305-2bwlxlfo 18 27 mail mail NN cord-286305-2bwlxlfo 18 28 : : : cord-286305-2bwlxlfo 18 29 ignazio.ciufolini@gmail.com ignazio.ciufolini@gmail.com ADD cord-286305-2bwlxlfo 18 30 ( ( -LRB- cord-286305-2bwlxlfo 18 31 corresponding correspond VBG cord-286305-2bwlxlfo 18 32 author author NN cord-286305-2bwlxlfo 18 33 ) ) -RRB- cord-286305-2bwlxlfo 18 34 to to TO cord-286305-2bwlxlfo 18 35 be be VB cord-286305-2bwlxlfo 18 36 diagnosed diagnose VBN cord-286305-2bwlxlfo 18 37 . . . cord-286305-2bwlxlfo 19 1 Indeed indeed RB cord-286305-2bwlxlfo 19 2 , , , cord-286305-2bwlxlfo 19 3 it -PRON- PRP cord-286305-2bwlxlfo 19 4 is be VBZ cord-286305-2bwlxlfo 19 5 well well RB cord-286305-2bwlxlfo 19 6 known known JJ cord-286305-2bwlxlfo 19 7 among among IN cord-286305-2bwlxlfo 19 8 the the DT cord-286305-2bwlxlfo 19 9 virologists virologist NNS cord-286305-2bwlxlfo 19 10 that that IN cord-286305-2bwlxlfo 19 11 the the DT cord-286305-2bwlxlfo 19 12 actual actual JJ cord-286305-2bwlxlfo 19 13 number number NN cord-286305-2bwlxlfo 19 14 of of IN cord-286305-2bwlxlfo 19 15 positive positive JJ cord-286305-2bwlxlfo 19 16 cases case NNS cord-286305-2bwlxlfo 19 17 is be VBZ cord-286305-2bwlxlfo 19 18 much much RB cord-286305-2bwlxlfo 19 19 higher high JJR cord-286305-2bwlxlfo 19 20 than than IN cord-286305-2bwlxlfo 19 21 the the DT cord-286305-2bwlxlfo 19 22 diagnosed diagnosed JJ cord-286305-2bwlxlfo 19 23 ones one NNS cord-286305-2bwlxlfo 19 24 [ [ -LRB- cord-286305-2bwlxlfo 19 25 4 4 CD cord-286305-2bwlxlfo 19 26 ] ] -RRB- cord-286305-2bwlxlfo 19 27 . . . cord-286305-2bwlxlfo 20 1 However however RB cord-286305-2bwlxlfo 20 2 , , , cord-286305-2bwlxlfo 20 3 it -PRON- PRP cord-286305-2bwlxlfo 20 4 is be VBZ cord-286305-2bwlxlfo 20 5 assumed assume VBN cord-286305-2bwlxlfo 20 6 that that IN cord-286305-2bwlxlfo 20 7 the the DT cord-286305-2bwlxlfo 20 8 diagnosed diagnose VBN cord-286305-2bwlxlfo 20 9 cases case NNS cord-286305-2bwlxlfo 20 10 are be VBP cord-286305-2bwlxlfo 20 11 a a DT cord-286305-2bwlxlfo 20 12 good good JJ cord-286305-2bwlxlfo 20 13 statistical statistical JJ cord-286305-2bwlxlfo 20 14 representation representation NN cord-286305-2bwlxlfo 20 15 of of IN cord-286305-2bwlxlfo 20 16 the the DT cord-286305-2bwlxlfo 20 17 entire entire JJ cord-286305-2bwlxlfo 20 18 population population NN cord-286305-2bwlxlfo 20 19 of of IN cord-286305-2bwlxlfo 20 20 the the DT cord-286305-2bwlxlfo 20 21 positive positive JJ cord-286305-2bwlxlfo 20 22 cases case NNS cord-286305-2bwlxlfo 20 23 . . . cord-286305-2bwlxlfo 21 1 In in IN cord-286305-2bwlxlfo 21 2 Fig Fig NNP cord-286305-2bwlxlfo 21 3 . . . cord-286305-2bwlxlfo 22 1 1 1 LS cord-286305-2bwlxlfo 22 2 , , , cord-286305-2bwlxlfo 22 3 we -PRON- PRP cord-286305-2bwlxlfo 22 4 report report VBP cord-286305-2bwlxlfo 22 5 the the DT cord-286305-2bwlxlfo 22 6 result result NN cord-286305-2bwlxlfo 22 7 of of IN cord-286305-2bwlxlfo 22 8 our -PRON- PRP$ cord-286305-2bwlxlfo 22 9 fit fit NN cord-286305-2bwlxlfo 22 10 of of IN cord-286305-2bwlxlfo 22 11 the the DT cord-286305-2bwlxlfo 22 12 cumulative cumulative JJ cord-286305-2bwlxlfo 22 13 diagnosed diagnose VBN cord-286305-2bwlxlfo 22 14 positive positive JJ cord-286305-2bwlxlfo 22 15 cases case NNS cord-286305-2bwlxlfo 22 16 in in IN cord-286305-2bwlxlfo 22 17 China China NNP cord-286305-2bwlxlfo 22 18 . . . cord-286305-2bwlxlfo 23 1 We -PRON- PRP cord-286305-2bwlxlfo 23 2 have have VBP cord-286305-2bwlxlfo 23 3 then then RB cord-286305-2bwlxlfo 23 4 applied apply VBN cord-286305-2bwlxlfo 23 5 such such PDT cord-286305-2bwlxlfo 23 6 a a DT cord-286305-2bwlxlfo 23 7 CDF cdf NN cord-286305-2bwlxlfo 23 8 to to TO cord-286305-2bwlxlfo 23 9 study study VB cord-286305-2bwlxlfo 23 10 the the DT cord-286305-2bwlxlfo 23 11 evolution evolution NN cord-286305-2bwlxlfo 23 12 in in IN cord-286305-2bwlxlfo 23 13 time time NN cord-286305-2bwlxlfo 23 14 of of IN cord-286305-2bwlxlfo 23 15 the the DT cord-286305-2bwlxlfo 23 16 number number NN cord-286305-2bwlxlfo 23 17 of of IN cord-286305-2bwlxlfo 23 18 positive positive JJ cord-286305-2bwlxlfo 23 19 cases case NNS cord-286305-2bwlxlfo 23 20 in in IN cord-286305-2bwlxlfo 23 21 Italy Italy NNP cord-286305-2bwlxlfo 23 22 , , , cord-286305-2bwlxlfo 23 23 in in IN cord-286305-2bwlxlfo 23 24 the the DT cord-286305-2bwlxlfo 23 25 attempt attempt NN cord-286305-2bwlxlfo 23 26 to to TO cord-286305-2bwlxlfo 23 27 possibly possibly RB cord-286305-2bwlxlfo 23 28 , , , cord-286305-2bwlxlfo 23 29 statistically statistically RB cord-286305-2bwlxlfo 23 30 , , , cord-286305-2bwlxlfo 23 31 predict predict VB cord-286305-2bwlxlfo 23 32 the the DT cord-286305-2bwlxlfo 23 33 peak peak NN cord-286305-2bwlxlfo 23 34 in in IN cord-286305-2bwlxlfo 23 35 the the DT cord-286305-2bwlxlfo 23 36 number number NN cord-286305-2bwlxlfo 23 37 of of IN cord-286305-2bwlxlfo 23 38 daily daily JJ cord-286305-2bwlxlfo 23 39 positive positive JJ cord-286305-2bwlxlfo 23 40 cases case NNS cord-286305-2bwlxlfo 23 41 and and CC cord-286305-2bwlxlfo 23 42 the the DT cord-286305-2bwlxlfo 23 43 possible possible JJ cord-286305-2bwlxlfo 23 44 date date NN cord-286305-2bwlxlfo 23 45 of of IN cord-286305-2bwlxlfo 23 46 a a DT cord-286305-2bwlxlfo 23 47 substantial substantial JJ cord-286305-2bwlxlfo 23 48 decrease decrease NN cord-286305-2bwlxlfo 23 49 in in IN cord-286305-2bwlxlfo 23 50 the the DT cord-286305-2bwlxlfo 23 51 number number NN cord-286305-2bwlxlfo 23 52 of of IN cord-286305-2bwlxlfo 23 53 daily daily JJ cord-286305-2bwlxlfo 23 54 positive positive JJ cord-286305-2bwlxlfo 23 55 cases case NNS cord-286305-2bwlxlfo 23 56 . . . cord-286305-2bwlxlfo 24 1 Furthermore furthermore RB cord-286305-2bwlxlfo 24 2 , , , cord-286305-2bwlxlfo 24 3 we -PRON- PRP cord-286305-2bwlxlfo 24 4 have have VBP cord-286305-2bwlxlfo 24 5 also also RB cord-286305-2bwlxlfo 24 6 applied apply VBN cord-286305-2bwlxlfo 24 7 our -PRON- PRP$ cord-286305-2bwlxlfo 24 8 method method NN cord-286305-2bwlxlfo 24 9 to to IN cord-286305-2bwlxlfo 24 10 the the DT cord-286305-2bwlxlfo 24 11 CDF cdf NN cord-286305-2bwlxlfo 24 12 of of IN cord-286305-2bwlxlfo 24 13 the the DT cord-286305-2bwlxlfo 24 14 number number NN cord-286305-2bwlxlfo 24 15 of of IN cord-286305-2bwlxlfo 24 16 fatalities fatality NNS cord-286305-2bwlxlfo 24 17 in in IN cord-286305-2bwlxlfo 24 18 both both CC cord-286305-2bwlxlfo 24 19 China China NNP cord-286305-2bwlxlfo 24 20 and and CC cord-286305-2bwlxlfo 24 21 Italy Italy NNP cord-286305-2bwlxlfo 24 22 , , , cord-286305-2bwlxlfo 24 23 confirming confirm VBG cord-286305-2bwlxlfo 24 24 our -PRON- PRP$ cord-286305-2bwlxlfo 24 25 predictions prediction NNS cord-286305-2bwlxlfo 24 26 obtained obtain VBN cord-286305-2bwlxlfo 24 27 with with IN cord-286305-2bwlxlfo 24 28 the the DT cord-286305-2bwlxlfo 24 29 cumulative cumulative JJ cord-286305-2bwlxlfo 24 30 positive positive JJ cord-286305-2bwlxlfo 24 31 cases case NNS cord-286305-2bwlxlfo 24 32 . . . cord-286305-2bwlxlfo 25 1 Finally finally RB cord-286305-2bwlxlfo 25 2 , , , cord-286305-2bwlxlfo 25 3 in in IN cord-286305-2bwlxlfo 25 4 Sect Sect NNP cord-286305-2bwlxlfo 25 5 . . . cord-286305-2bwlxlfo 26 1 4 4 LS cord-286305-2bwlxlfo 26 2 , , , cord-286305-2bwlxlfo 26 3 we -PRON- PRP cord-286305-2bwlxlfo 26 4 have have VBP cord-286305-2bwlxlfo 26 5 performed perform VBN cord-286305-2bwlxlfo 26 6 a a DT cord-286305-2bwlxlfo 26 7 number number NN cord-286305-2bwlxlfo 26 8 of of IN cord-286305-2bwlxlfo 26 9 Monte Monte NNP cord-286305-2bwlxlfo 26 10 Carlo Carlo NNP cord-286305-2bwlxlfo 26 11 simulations simulation NNS cord-286305-2bwlxlfo 26 12 to to TO cord-286305-2bwlxlfo 26 13 get get VB cord-286305-2bwlxlfo 26 14 a a DT cord-286305-2bwlxlfo 26 15 more more RBR cord-286305-2bwlxlfo 26 16 robust robust JJ cord-286305-2bwlxlfo 26 17 prediction prediction NN cord-286305-2bwlxlfo 26 18 of of IN cord-286305-2bwlxlfo 26 19 both both CC cord-286305-2bwlxlfo 26 20 the the DT cord-286305-2bwlxlfo 26 21 date date NN cord-286305-2bwlxlfo 26 22 of of IN cord-286305-2bwlxlfo 26 23 the the DT cord-286305-2bwlxlfo 26 24 peak peak NN cord-286305-2bwlxlfo 26 25 in in IN cord-286305-2bwlxlfo 26 26 the the DT cord-286305-2bwlxlfo 26 27 number number NN cord-286305-2bwlxlfo 26 28 of of IN cord-286305-2bwlxlfo 26 29 positive positive JJ cord-286305-2bwlxlfo 26 30 cases case NNS cord-286305-2bwlxlfo 26 31 , , , cord-286305-2bwlxlfo 26 32 diagnosed diagnose VBD cord-286305-2bwlxlfo 26 33 each each DT cord-286305-2bwlxlfo 26 34 day day NN cord-286305-2bwlxlfo 26 35 , , , cord-286305-2bwlxlfo 26 36 and and CC cord-286305-2bwlxlfo 26 37 in in IN cord-286305-2bwlxlfo 26 38 the the DT cord-286305-2bwlxlfo 26 39 date date NN cord-286305-2bwlxlfo 26 40 after after IN cord-286305-2bwlxlfo 26 41 which which WDT cord-286305-2bwlxlfo 26 42 the the DT cord-286305-2bwlxlfo 26 43 number number NN cord-286305-2bwlxlfo 26 44 of of IN cord-286305-2bwlxlfo 26 45 new new JJ cord-286305-2bwlxlfo 26 46 positive positive JJ cord-286305-2bwlxlfo 26 47 cases case NNS cord-286305-2bwlxlfo 26 48 will will MD cord-286305-2bwlxlfo 26 49 be be VB cord-286305-2bwlxlfo 26 50 below below IN cord-286305-2bwlxlfo 26 51 a a DT cord-286305-2bwlxlfo 26 52 certain certain JJ cord-286305-2bwlxlfo 26 53 threshold threshold NN cord-286305-2bwlxlfo 26 54 [ [ -LRB- cord-286305-2bwlxlfo 26 55 5 5 CD cord-286305-2bwlxlfo 26 56 ] ] -RRB- cord-286305-2bwlxlfo 26 57 . . . cord-286305-2bwlxlfo 27 1 Based base VBN cord-286305-2bwlxlfo 27 2 on on IN cord-286305-2bwlxlfo 27 3 the the DT cord-286305-2bwlxlfo 27 4 number number NN cord-286305-2bwlxlfo 27 5 of of IN cord-286305-2bwlxlfo 27 6 diagnosed diagnose VBN cord-286305-2bwlxlfo 27 7 positive positive JJ cord-286305-2bwlxlfo 27 8 cases case NNS cord-286305-2bwlxlfo 27 9 and and CC cord-286305-2bwlxlfo 27 10 fatalities fatality NNS cord-286305-2bwlxlfo 27 11 of of IN cord-286305-2bwlxlfo 27 12 COVID-19 COVID-19 NNP cord-286305-2bwlxlfo 27 13 in in IN cord-286305-2bwlxlfo 27 14 China China NNP cord-286305-2bwlxlfo 27 15 , , , cord-286305-2bwlxlfo 27 16 we -PRON- PRP cord-286305-2bwlxlfo 27 17 have have VBP cord-286305-2bwlxlfo 27 18 fitted fit VBN cord-286305-2bwlxlfo 27 19 the the DT cord-286305-2bwlxlfo 27 20 cumulative cumulative JJ cord-286305-2bwlxlfo 27 21 numbers number NNS cord-286305-2bwlxlfo 27 22 with with IN cord-286305-2bwlxlfo 27 23 a a DT cord-286305-2bwlxlfo 27 24 function function NN cord-286305-2bwlxlfo 27 25 of of IN cord-286305-2bwlxlfo 27 26 the the DT cord-286305-2bwlxlfo 27 27 type type NN cord-286305-2bwlxlfo 27 28 of of IN cord-286305-2bwlxlfo 27 29 the the DT cord-286305-2bwlxlfo 27 30 Gauss Gauss NNP cord-286305-2bwlxlfo 27 31 error error NN cord-286305-2bwlxlfo 27 32 function function NN cord-286305-2bwlxlfo 27 33 containing contain VBG cord-286305-2bwlxlfo 27 34 the the DT cord-286305-2bwlxlfo 27 35 four four CD cord-286305-2bwlxlfo 27 36 parameters parameter NNS cord-286305-2bwlxlfo 27 37 a a DT cord-286305-2bwlxlfo 27 38 , , , cord-286305-2bwlxlfo 27 39 b b NN cord-286305-2bwlxlfo 27 40 , , , cord-286305-2bwlxlfo 27 41 c c NNP cord-286305-2bwlxlfo 27 42 , , , cord-286305-2bwlxlfo 27 43 d d NNP cord-286305-2bwlxlfo 27 44 , , , cord-286305-2bwlxlfo 27 45 that that IN cord-286305-2bwlxlfo 27 46 we -PRON- PRP cord-286305-2bwlxlfo 27 47 have have VBP cord-286305-2bwlxlfo 27 48 fitted fit VBN cord-286305-2bwlxlfo 27 49 using use VBG cord-286305-2bwlxlfo 27 50 the the DT cord-286305-2bwlxlfo 27 51 available available JJ cord-286305-2bwlxlfo 27 52 official official JJ cord-286305-2bwlxlfo 27 53 data datum NNS cord-286305-2bwlxlfo 27 54 . . . cord-286305-2bwlxlfo 28 1 A a DT cord-286305-2bwlxlfo 28 2 similar similar JJ cord-286305-2bwlxlfo 28 3 distribution distribution NN cord-286305-2bwlxlfo 28 4 is be VBZ cord-286305-2bwlxlfo 28 5 also also RB cord-286305-2bwlxlfo 28 6 observed observe VBN cord-286305-2bwlxlfo 28 7 in in IN cord-286305-2bwlxlfo 28 8 other other JJ cord-286305-2bwlxlfo 28 9 studies study NNS cord-286305-2bwlxlfo 28 10 of of IN cord-286305-2bwlxlfo 28 11 seasonal seasonal JJ cord-286305-2bwlxlfo 28 12 influenza influenza NN cord-286305-2bwlxlfo 28 13 and and CC cord-286305-2bwlxlfo 28 14 pandemic pandemic NN cord-286305-2bwlxlfo 28 15 [ [ -LRB- cord-286305-2bwlxlfo 28 16 6 6 CD cord-286305-2bwlxlfo 28 17 , , , cord-286305-2bwlxlfo 28 18 7 7 CD cord-286305-2bwlxlfo 28 19 ] ] -RRB- cord-286305-2bwlxlfo 28 20 . . . cord-286305-2bwlxlfo 29 1 The the DT cord-286305-2bwlxlfo 29 2 result result NN cord-286305-2bwlxlfo 29 3 of of IN cord-286305-2bwlxlfo 29 4 the the DT cord-286305-2bwlxlfo 29 5 fit fit NN cord-286305-2bwlxlfo 29 6 is be VBZ cord-286305-2bwlxlfo 29 7 reported report VBN cord-286305-2bwlxlfo 29 8 in in IN cord-286305-2bwlxlfo 29 9 Fig Fig NNP cord-286305-2bwlxlfo 29 10 . . . cord-286305-2bwlxlfo 30 1 1 1 LS cord-286305-2bwlxlfo 30 2 , , , cord-286305-2bwlxlfo 30 3 which which WDT cord-286305-2bwlxlfo 30 4 shows show VBZ cord-286305-2bwlxlfo 30 5 the the DT cord-286305-2bwlxlfo 30 6 good good JJ cord-286305-2bwlxlfo 30 7 level level NN cord-286305-2bwlxlfo 30 8 of of IN cord-286305-2bwlxlfo 30 9 the the DT cord-286305-2bwlxlfo 30 10 fit fit NN cord-286305-2bwlxlfo 30 11 using use VBG cord-286305-2bwlxlfo 30 12 function function NN cord-286305-2bwlxlfo 30 13 ( ( -LRB- cord-286305-2bwlxlfo 30 14 1 1 CD cord-286305-2bwlxlfo 30 15 ) ) -RRB- cord-286305-2bwlxlfo 30 16 with with IN cord-286305-2bwlxlfo 30 17 those those DT cord-286305-2bwlxlfo 30 18 four four CD cord-286305-2bwlxlfo 30 19 parameters parameter NNS cord-286305-2bwlxlfo 30 20 . . . cord-286305-2bwlxlfo 31 1 In in IN cord-286305-2bwlxlfo 31 2 Fig Fig NNP cord-286305-2bwlxlfo 31 3 . . . cord-286305-2bwlxlfo 32 1 2 2 LS cord-286305-2bwlxlfo 32 2 , , , cord-286305-2bwlxlfo 32 3 we -PRON- PRP cord-286305-2bwlxlfo 32 4 report report VBP cord-286305-2bwlxlfo 32 5 the the DT cord-286305-2bwlxlfo 32 6 fit fit NN cord-286305-2bwlxlfo 32 7 of of IN cord-286305-2bwlxlfo 32 8 the the DT cord-286305-2bwlxlfo 32 9 cumulative cumulative JJ cord-286305-2bwlxlfo 32 10 number number NN cord-286305-2bwlxlfo 32 11 of of IN cord-286305-2bwlxlfo 32 12 fatalities fatality NNS cord-286305-2bwlxlfo 32 13 due due JJ cord-286305-2bwlxlfo 32 14 to to IN cord-286305-2bwlxlfo 32 15 COVID-19 covid-19 VB cord-286305-2bwlxlfo 32 16 in in IN cord-286305-2bwlxlfo 32 17 China China NNP cord-286305-2bwlxlfo 32 18 , , , cord-286305-2bwlxlfo 32 19 which which WDT cord-286305-2bwlxlfo 32 20 also also RB cord-286305-2bwlxlfo 32 21 shows show VBZ cord-286305-2bwlxlfo 32 22 the the DT cord-286305-2bwlxlfo 32 23 good good JJ cord-286305-2bwlxlfo 32 24 level level NN cord-286305-2bwlxlfo 32 25 of of IN cord-286305-2bwlxlfo 32 26 the the DT cord-286305-2bwlxlfo 32 27 fit fit NN cord-286305-2bwlxlfo 32 28 using use VBG cord-286305-2bwlxlfo 32 29 function function NN cord-286305-2bwlxlfo 32 30 ( ( -LRB- cord-286305-2bwlxlfo 32 31 1 1 CD cord-286305-2bwlxlfo 32 32 ) ) -RRB- cord-286305-2bwlxlfo 32 33 . . . cord-286305-2bwlxlfo 33 1 In in IN cord-286305-2bwlxlfo 33 2 Sect Sect NNP cord-286305-2bwlxlfo 33 3 . . . cord-286305-2bwlxlfo 34 1 3 3 LS cord-286305-2bwlxlfo 34 2 , , , cord-286305-2bwlxlfo 34 3 the the DT cord-286305-2bwlxlfo 34 4 same same JJ cord-286305-2bwlxlfo 34 5 procedure procedure NN cord-286305-2bwlxlfo 34 6 was be VBD cord-286305-2bwlxlfo 34 7 applied apply VBN cord-286305-2bwlxlfo 34 8 to to IN cord-286305-2bwlxlfo 34 9 the the DT cord-286305-2bwlxlfo 34 10 Italian italian JJ cord-286305-2bwlxlfo 34 11 data datum NNS cord-286305-2bwlxlfo 34 12 . . . cord-286305-2bwlxlfo 35 1 In in IN cord-286305-2bwlxlfo 35 2 this this DT cord-286305-2bwlxlfo 35 3 section section NN cord-286305-2bwlxlfo 35 4 , , , cord-286305-2bwlxlfo 35 5 we -PRON- PRP cord-286305-2bwlxlfo 35 6 report report VBP cord-286305-2bwlxlfo 35 7 the the DT cord-286305-2bwlxlfo 35 8 results result NNS cord-286305-2bwlxlfo 35 9 of of IN cord-286305-2bwlxlfo 35 10 the the DT cord-286305-2bwlxlfo 35 11 fit fit NN cord-286305-2bwlxlfo 35 12 of of IN cord-286305-2bwlxlfo 35 13 the the DT cord-286305-2bwlxlfo 35 14 cumulative cumulative JJ cord-286305-2bwlxlfo 35 15 diagnosed diagnose VBN cord-286305-2bwlxlfo 35 16 positive positive JJ cord-286305-2bwlxlfo 35 17 cases case NNS cord-286305-2bwlxlfo 35 18 of of IN cord-286305-2bwlxlfo 35 19 COVID-19 covid-19 CD cord-286305-2bwlxlfo 35 20 in in IN cord-286305-2bwlxlfo 35 21 Italy Italy NNP cord-286305-2bwlxlfo 35 22 using use VBG cord-286305-2bwlxlfo 35 23 a a DT cord-286305-2bwlxlfo 35 24 function function NN cord-286305-2bwlxlfo 35 25 of of IN cord-286305-2bwlxlfo 35 26 the the DT cord-286305-2bwlxlfo 35 27 type type NN cord-286305-2bwlxlfo 35 28 of of IN cord-286305-2bwlxlfo 35 29 the the DT cord-286305-2bwlxlfo 35 30 Gauss Gauss NNP cord-286305-2bwlxlfo 35 31 error error NN cord-286305-2bwlxlfo 35 32 function function NN cord-286305-2bwlxlfo 35 33 , , , cord-286305-2bwlxlfo 35 34 given give VBN cord-286305-2bwlxlfo 35 35 in in IN cord-286305-2bwlxlfo 35 36 Sect Sect NNP cord-286305-2bwlxlfo 35 37 . . . cord-286305-2bwlxlfo 36 1 2 2 LS cord-286305-2bwlxlfo 36 2 . . . cord-286305-2bwlxlfo 37 1 We -PRON- PRP cord-286305-2bwlxlfo 37 2 obtained obtain VBD cord-286305-2bwlxlfo 37 3 very very RB cord-286305-2bwlxlfo 37 4 similar similar JJ cord-286305-2bwlxlfo 37 5 results result NNS cord-286305-2bwlxlfo 37 6 using use VBG cord-286305-2bwlxlfo 37 7 a a DT cord-286305-2bwlxlfo 37 8 logistic logistic JJ cord-286305-2bwlxlfo 37 9 function function NN cord-286305-2bwlxlfo 37 10 with with IN cord-286305-2bwlxlfo 37 11 four four CD cord-286305-2bwlxlfo 37 12 parameters parameter NNS cord-286305-2bwlxlfo 37 13 , , , cord-286305-2bwlxlfo 37 14 which which WDT cord-286305-2bwlxlfo 37 15 are be VBP cord-286305-2bwlxlfo 37 16 not not RB cord-286305-2bwlxlfo 37 17 reported report VBN cord-286305-2bwlxlfo 37 18 here here RB cord-286305-2bwlxlfo 37 19 for for IN cord-286305-2bwlxlfo 37 20 the the DT cord-286305-2bwlxlfo 37 21 sake sake NN cord-286305-2bwlxlfo 37 22 of of IN cord-286305-2bwlxlfo 37 23 brevity brevity NN cord-286305-2bwlxlfo 37 24 . . . cord-286305-2bwlxlfo 38 1 Figure figure NN cord-286305-2bwlxlfo 38 2 3 3 CD cord-286305-2bwlxlfo 38 3 shows show VBZ cord-286305-2bwlxlfo 38 4 the the DT cord-286305-2bwlxlfo 38 5 fit fit NN cord-286305-2bwlxlfo 38 6 of of IN cord-286305-2bwlxlfo 38 7 the the DT cord-286305-2bwlxlfo 38 8 data datum NNS cord-286305-2bwlxlfo 38 9 from from IN cord-286305-2bwlxlfo 38 10 February February NNP cord-286305-2bwlxlfo 38 11 15 15 CD cord-286305-2bwlxlfo 38 12 , , , cord-286305-2bwlxlfo 38 13 2020 2020 CD cord-286305-2bwlxlfo 38 14 , , , cord-286305-2bwlxlfo 38 15 to to IN cord-286305-2bwlxlfo 38 16 March March NNP cord-286305-2bwlxlfo 38 17 29 29 CD cord-286305-2bwlxlfo 38 18 , , , cord-286305-2bwlxlfo 38 19 2020 2020 CD cord-286305-2bwlxlfo 38 20 . . . cord-286305-2bwlxlfo 39 1 According accord VBG cord-286305-2bwlxlfo 39 2 to to IN cord-286305-2bwlxlfo 39 3 this this DT cord-286305-2bwlxlfo 39 4 fit fit NN cord-286305-2bwlxlfo 39 5 , , , cord-286305-2bwlxlfo 39 6 the the DT cord-286305-2bwlxlfo 39 7 flex flex NN cord-286305-2bwlxlfo 39 8 , , , cord-286305-2bwlxlfo 39 9 i.e. i.e. FW cord-286305-2bwlxlfo 39 10 , , , cord-286305-2bwlxlfo 39 11 the the DT cord-286305-2bwlxlfo 39 12 point point NN cord-286305-2bwlxlfo 39 13 where where WRB cord-286305-2bwlxlfo 39 14 the the DT cord-286305-2bwlxlfo 39 15 second second JJ cord-286305-2bwlxlfo 39 16 derivative derivative NN cord-286305-2bwlxlfo 39 17 of of IN cord-286305-2bwlxlfo 39 18 the the DT cord-286305-2bwlxlfo 39 19 fit fit NN cord-286305-2bwlxlfo 39 20 is be VBZ cord-286305-2bwlxlfo 39 21 becoming become VBG cord-286305-2bwlxlfo 39 22 negative negative JJ cord-286305-2bwlxlfo 39 23 , , , cord-286305-2bwlxlfo 39 24 that that RB cord-286305-2bwlxlfo 39 25 is is RB cord-286305-2bwlxlfo 39 26 , , , cord-286305-2bwlxlfo 39 27 the the DT cord-286305-2bwlxlfo 39 28 difference difference NN cord-286305-2bwlxlfo 39 29 between between IN cord-286305-2bwlxlfo 39 30 two two CD cord-286305-2bwlxlfo 39 31 successive successive JJ cord-286305-2bwlxlfo 39 32 daily daily JJ cord-286305-2bwlxlfo 39 33 cases case NNS cord-286305-2bwlxlfo 39 34 becomes become VBZ cord-286305-2bwlxlfo 39 35 negative negative JJ cord-286305-2bwlxlfo 39 36 , , , cord-286305-2bwlxlfo 39 37 or or CC cord-286305-2bwlxlfo 39 38 in in IN cord-286305-2bwlxlfo 39 39 other other JJ cord-286305-2bwlxlfo 39 40 words word NNS cord-286305-2bwlxlfo 39 41 the the DT cord-286305-2bwlxlfo 39 42 point point NN cord-286305-2bwlxlfo 39 43 where where WRB cord-286305-2bwlxlfo 39 44 there there EX cord-286305-2bwlxlfo 39 45 is be VBZ cord-286305-2bwlxlfo 39 46 a a DT cord-286305-2bwlxlfo 39 47 deceleration deceleration NN cord-286305-2bwlxlfo 39 48 in in IN cord-286305-2bwlxlfo 39 49 the the DT cord-286305-2bwlxlfo 39 50 number number NN cord-286305-2bwlxlfo 39 51 of of IN cord-286305-2bwlxlfo 39 52 positive positive JJ cord-286305-2bwlxlfo 39 53 cases case NNS cord-286305-2bwlxlfo 39 54 is be VBZ cord-286305-2bwlxlfo 39 55 reached reach VBN cord-286305-2bwlxlfo 39 56 at at IN cord-286305-2bwlxlfo 39 57 March March NNP cord-286305-2bwlxlfo 39 58 25 25 CD cord-286305-2bwlxlfo 39 59 , , , cord-286305-2bwlxlfo 39 60 2020 2020 CD cord-286305-2bwlxlfo 39 61 , , , cord-286305-2bwlxlfo 39 62 plus plus CC cord-286305-2bwlxlfo 39 63 or or CC cord-286305-2bwlxlfo 39 64 minus minus RB cord-286305-2bwlxlfo 39 65 2 2 CD cord-286305-2bwlxlfo 39 66 days day NNS cord-286305-2bwlxlfo 39 67 ( ( -LRB- cord-286305-2bwlxlfo 39 68 2-sigma 2-sigma CD cord-286305-2bwlxlfo 39 69 ) ) -RRB- cord-286305-2bwlxlfo 39 70 , , , cord-286305-2bwlxlfo 39 71 this this DT cord-286305-2bwlxlfo 39 72 uncertainty uncertainty NN cord-286305-2bwlxlfo 39 73 is be VBZ cord-286305-2bwlxlfo 39 74 derived derive VBN cord-286305-2bwlxlfo 39 75 in in IN cord-286305-2bwlxlfo 39 76 Sect Sect NNP cord-286305-2bwlxlfo 39 77 . . . cord-286305-2bwlxlfo 40 1 4 4 LS cord-286305-2bwlxlfo 40 2 . . . cord-286305-2bwlxlfo 41 1 According accord VBG cord-286305-2bwlxlfo 41 2 to to IN cord-286305-2bwlxlfo 41 3 this this DT cord-286305-2bwlxlfo 41 4 fit fit NN cord-286305-2bwlxlfo 41 5 , , , cord-286305-2bwlxlfo 41 6 the the DT cord-286305-2bwlxlfo 41 7 date date NN cord-286305-2bwlxlfo 41 8 of of IN cord-286305-2bwlxlfo 41 9 a a DT cord-286305-2bwlxlfo 41 10 substantial substantial JJ cord-286305-2bwlxlfo 41 11 reduction reduction NN cord-286305-2bwlxlfo 41 12 in in IN cord-286305-2bwlxlfo 41 13 the the DT cord-286305-2bwlxlfo 41 14 number number NN cord-286305-2bwlxlfo 41 15 of of IN cord-286305-2bwlxlfo 41 16 cumulative cumulative JJ cord-286305-2bwlxlfo 41 17 positive positive JJ cord-286305-2bwlxlfo 41 18 cases case NNS cord-286305-2bwlxlfo 41 19 in in IN cord-286305-2bwlxlfo 41 20 Italy Italy NNP cord-286305-2bwlxlfo 41 21 ( ( -LRB- cord-286305-2bwlxlfo 41 22 about about RB cord-286305-2bwlxlfo 41 23 100 100 CD cord-286305-2bwlxlfo 41 24 cases case NNS cord-286305-2bwlxlfo 41 25 ) ) -RRB- cord-286305-2bwlxlfo 41 26 , , , cord-286305-2bwlxlfo 41 27 is be VBZ cord-286305-2bwlxlfo 41 28 April April NNP cord-286305-2bwlxlfo 41 29 22 22 CD cord-286305-2bwlxlfo 41 30 , , , cord-286305-2bwlxlfo 41 31 2020 2020 CD cord-286305-2bwlxlfo 41 32 , , , cord-286305-2bwlxlfo 41 33 plus plus CC cord-286305-2bwlxlfo 41 34 or or CC cord-286305-2bwlxlfo 41 35 minus minus IN cord-286305-2bwlxlfo 41 36 4.6 4.6 CD cord-286305-2bwlxlfo 41 37 days day NNS cord-286305-2bwlxlfo 41 38 ( ( -LRB- cord-286305-2bwlxlfo 41 39 2-sigma 2-sigma CD cord-286305-2bwlxlfo 41 40 ) ) -RRB- cord-286305-2bwlxlfo 41 41 ( ( -LRB- cord-286305-2bwlxlfo 41 42 see see VB cord-286305-2bwlxlfo 41 43 Sect Sect NNP cord-286305-2bwlxlfo 41 44 . . . cord-286305-2bwlxlfo 41 45 4 4 LS cord-286305-2bwlxlfo 41 46 ) ) -RRB- cord-286305-2bwlxlfo 41 47 . . . cord-286305-2bwlxlfo 42 1 To to TO cord-286305-2bwlxlfo 42 2 check check VB cord-286305-2bwlxlfo 42 3 whether whether IN cord-286305-2bwlxlfo 42 4 we -PRON- PRP cord-286305-2bwlxlfo 42 5 obtain obtain VBP cord-286305-2bwlxlfo 42 6 the the DT cord-286305-2bwlxlfo 42 7 same same JJ cord-286305-2bwlxlfo 42 8 predictions prediction NNS cord-286305-2bwlxlfo 42 9 using use VBG cord-286305-2bwlxlfo 42 10 the the DT cord-286305-2bwlxlfo 42 11 cumulative cumulative JJ cord-286305-2bwlxlfo 42 12 number number NN cord-286305-2bwlxlfo 42 13 of of IN cord-286305-2bwlxlfo 42 14 fatalities fatality NNS cord-286305-2bwlxlfo 42 15 of of IN cord-286305-2bwlxlfo 42 16 COVID-19 covid-19 CD cord-286305-2bwlxlfo 42 17 in in IN cord-286305-2bwlxlfo 42 18 Italy Italy NNP cord-286305-2bwlxlfo 42 19 , , , cord-286305-2bwlxlfo 42 20 instead instead RB cord-286305-2bwlxlfo 42 21 of of IN cord-286305-2bwlxlfo 42 22 using use VBG cord-286305-2bwlxlfo 42 23 the the DT cord-286305-2bwlxlfo 42 24 number number NN cord-286305-2bwlxlfo 42 25 of of IN cord-286305-2bwlxlfo 42 26 positive positive JJ cord-286305-2bwlxlfo 42 27 cases case NNS cord-286305-2bwlxlfo 42 28 of of IN cord-286305-2bwlxlfo 42 29 COVID-19 covid-19 CD cord-286305-2bwlxlfo 42 30 in in IN cord-286305-2bwlxlfo 42 31 Italy Italy NNP cord-286305-2bwlxlfo 42 32 , , , cord-286305-2bwlxlfo 42 33 we -PRON- PRP cord-286305-2bwlxlfo 42 34 repeated repeat VBD cord-286305-2bwlxlfo 42 35 the the DT cord-286305-2bwlxlfo 42 36 previous previous JJ cord-286305-2bwlxlfo 42 37 analysis analysis NN cord-286305-2bwlxlfo 42 38 using use VBG cord-286305-2bwlxlfo 42 39 the the DT cord-286305-2bwlxlfo 42 40 cumulative cumulative JJ cord-286305-2bwlxlfo 42 41 fatalities fatality NNS cord-286305-2bwlxlfo 42 42 enumerated enumerate VBN cord-286305-2bwlxlfo 42 43 in in IN cord-286305-2bwlxlfo 42 44 the the DT cord-286305-2bwlxlfo 42 45 Web web NN cord-286305-2bwlxlfo 42 46 sites site NNS cord-286305-2bwlxlfo 42 47 of of IN cord-286305-2bwlxlfo 42 48 the the DT cord-286305-2bwlxlfo 42 49 Italian italian JJ cord-286305-2bwlxlfo 42 50 " " `` cord-286305-2bwlxlfo 42 51 Ministero Ministero NNP cord-286305-2bwlxlfo 42 52 della della NNP cord-286305-2bwlxlfo 42 53 Salute salute NN cord-286305-2bwlxlfo 42 54 " " '' cord-286305-2bwlxlfo 42 55 ( ( -LRB- cord-286305-2bwlxlfo 42 56 Fig fig NN cord-286305-2bwlxlfo 42 57 . . . cord-286305-2bwlxlfo 42 58 3 3 CD cord-286305-2bwlxlfo 42 59 ) ) -RRB- cord-286305-2bwlxlfo 42 60 , , , cord-286305-2bwlxlfo 42 61 thus thus RB cord-286305-2bwlxlfo 42 62 confirming confirm VBG cord-286305-2bwlxlfo 42 63 the the DT cord-286305-2bwlxlfo 42 64 consistency consistency NN cord-286305-2bwlxlfo 42 65 of of IN cord-286305-2bwlxlfo 42 66 our -PRON- PRP$ cord-286305-2bwlxlfo 42 67 results result NNS cord-286305-2bwlxlfo 42 68 from from IN cord-286305-2bwlxlfo 42 69 February February NNP cord-286305-2bwlxlfo 42 70 15 15 CD cord-286305-2bwlxlfo 42 71 , , , cord-286305-2bwlxlfo 42 72 2020 2020 CD cord-286305-2bwlxlfo 42 73 , , , cord-286305-2bwlxlfo 42 74 to to IN cord-286305-2bwlxlfo 42 75 March March NNP cord-286305-2bwlxlfo 42 76 17 17 CD cord-286305-2bwlxlfo 42 77 , , , cord-286305-2bwlxlfo 42 78 2020 2020 CD cord-286305-2bwlxlfo 42 79 , , , cord-286305-2bwlxlfo 42 80 and and CC cord-286305-2bwlxlfo 42 81 so so RB cord-286305-2bwlxlfo 42 82 on on RB cord-286305-2bwlxlfo 42 83 , , , cord-286305-2bwlxlfo 42 84 until until IN cord-286305-2bwlxlfo 42 85 March March NNP cord-286305-2bwlxlfo 42 86 29 29 CD cord-286305-2bwlxlfo 42 87 , , , cord-286305-2bwlxlfo 42 88 2020 2020 CD cord-286305-2bwlxlfo 42 89 ( ( -LRB- cord-286305-2bwlxlfo 42 90 included include VBN cord-286305-2bwlxlfo 42 91 ) ) -RRB- cord-286305-2bwlxlfo 42 92 , , , cord-286305-2bwlxlfo 42 93 thus thus RB cord-286305-2bwlxlfo 42 94 getting get VBG cord-286305-2bwlxlfo 42 95 14 14 CD cord-286305-2bwlxlfo 42 96 evaluations evaluation NNS cord-286305-2bwlxlfo 42 97 of of IN cord-286305-2bwlxlfo 42 98 the the DT cord-286305-2bwlxlfo 42 99 date date NN cord-286305-2bwlxlfo 42 100 of of IN cord-286305-2bwlxlfo 42 101 the the DT cord-286305-2bwlxlfo 42 102 flex flex NN cord-286305-2bwlxlfo 42 103 . . . cord-286305-2bwlxlfo 43 1 We -PRON- PRP cord-286305-2bwlxlfo 43 2 then then RB cord-286305-2bwlxlfo 43 3 evaluated evaluate VBD cord-286305-2bwlxlfo 43 4 the the DT cord-286305-2bwlxlfo 43 5 standard standard JJ cord-286305-2bwlxlfo 43 6 deviation deviation NN cord-286305-2bwlxlfo 43 7 of of IN cord-286305-2bwlxlfo 43 8 these these DT cord-286305-2bwlxlfo 43 9 14 14 CD cord-286305-2bwlxlfo 43 10 points point NNS cord-286305-2bwlxlfo 43 11 , , , cord-286305-2bwlxlfo 43 12 and and CC cord-286305-2bwlxlfo 43 13 we -PRON- PRP cord-286305-2bwlxlfo 43 14 obtained obtain VBD cord-286305-2bwlxlfo 43 15 a a DT cord-286305-2bwlxlfo 43 16 1-sigma 1-sigma CD cord-286305-2bwlxlfo 43 17 standard standard JJ cord-286305-2bwlxlfo 43 18 deviation deviation NN cord-286305-2bwlxlfo 43 19 for for IN cord-286305-2bwlxlfo 43 20 the the DT cord-286305-2bwlxlfo 43 21 flex flex NN cord-286305-2bwlxlfo 43 22 of of IN cord-286305-2bwlxlfo 43 23 3 3 CD cord-286305-2bwlxlfo 43 24 days day NNS cord-286305-2bwlxlfo 43 25 . . . cord-286305-2bwlxlfo 44 1 The the DT cord-286305-2bwlxlfo 44 2 2-sigma 2-sigma CD cord-286305-2bwlxlfo 44 3 ( ( -LRB- cord-286305-2bwlxlfo 44 4 95.5 95.5 CD cord-286305-2bwlxlfo 44 5 % % NN cord-286305-2bwlxlfo 44 6 probability probability NN cord-286305-2bwlxlfo 44 7 ) ) -RRB- cord-286305-2bwlxlfo 44 8 and and CC cord-286305-2bwlxlfo 45 1 3-sigma 3-sigma CD cord-286305-2bwlxlfo 45 2 ( ( -LRB- cord-286305-2bwlxlfo 45 3 99.7 99.7 CD cord-286305-2bwlxlfo 45 4 % % NN cord-286305-2bwlxlfo 45 5 probability probability NN cord-286305-2bwlxlfo 45 6 ) ) -RRB- cord-286305-2bwlxlfo 45 7 uncertainties uncertainty NNS cord-286305-2bwlxlfo 45 8 in in IN cord-286305-2bwlxlfo 45 9 the the DT cord-286305-2bwlxlfo 45 10 day day NN cord-286305-2bwlxlfo 45 11 of of IN cord-286305-2bwlxlfo 45 12 the the DT cord-286305-2bwlxlfo 45 13 flex flex NNP cord-286305-2bwlxlfo 45 14 are be VBP cord-286305-2bwlxlfo 45 15 then then RB cord-286305-2bwlxlfo 45 16 6 6 CD cord-286305-2bwlxlfo 45 17 days day NNS cord-286305-2bwlxlfo 45 18 and and CC cord-286305-2bwlxlfo 45 19 9 9 CD cord-286305-2bwlxlfo 45 20 days day NNS cord-286305-2bwlxlfo 45 21 , , , cord-286305-2bwlxlfo 45 22 respectively respectively RB cord-286305-2bwlxlfo 45 23 . . . cord-286305-2bwlxlfo 46 1 In in IN cord-286305-2bwlxlfo 46 2 regard regard NN cord-286305-2bwlxlfo 46 3 to to IN cord-286305-2bwlxlfo 46 4 the the DT cord-286305-2bwlxlfo 46 5 date date NN cord-286305-2bwlxlfo 46 6 of of IN cord-286305-2bwlxlfo 46 7 a a DT cord-286305-2bwlxlfo 46 8 substantial substantial JJ cord-286305-2bwlxlfo 46 9 reduction reduction NN cord-286305-2bwlxlfo 46 10 in in IN cord-286305-2bwlxlfo 46 11 the the DT cord-286305-2bwlxlfo 46 12 number number NN cord-286305-2bwlxlfo 46 13 of of IN cord-286305-2bwlxlfo 46 14 cumulative cumulative JJ cord-286305-2bwlxlfo 46 15 positive positive JJ cord-286305-2bwlxlfo 46 16 cases case NNS cord-286305-2bwlxlfo 46 17 in in IN cord-286305-2bwlxlfo 46 18 Italy Italy NNP cord-286305-2bwlxlfo 46 19 ( ( -LRB- cord-286305-2bwlxlfo 46 20 about about RB cord-286305-2bwlxlfo 46 21 100 100 CD cord-286305-2bwlxlfo 46 22 cases case NNS cord-286305-2bwlxlfo 46 23 ) ) -RRB- cord-286305-2bwlxlfo 46 24 , , , cord-286305-2bwlxlfo 46 25 the the DT cord-286305-2bwlxlfo 46 26 standard standard JJ cord-286305-2bwlxlfo 46 27 deviation deviation NN cord-286305-2bwlxlfo 46 28 is be VBZ cord-286305-2bwlxlfo 46 29 6 6 CD cord-286305-2bwlxlfo 46 30 days day NNS cord-286305-2bwlxlfo 46 31 ( ( -LRB- cord-286305-2bwlxlfo 46 32 68.2 68.2 CD cord-286305-2bwlxlfo 46 33 % % NN cord-286305-2bwlxlfo 46 34 probability probability NN cord-286305-2bwlxlfo 46 35 ) ) -RRB- cord-286305-2bwlxlfo 46 36 , , , cord-286305-2bwlxlfo 46 37 12 12 CD cord-286305-2bwlxlfo 46 38 days day NNS cord-286305-2bwlxlfo 46 39 ( ( -LRB- cord-286305-2bwlxlfo 46 40 95.5 95.5 CD cord-286305-2bwlxlfo 46 41 % % NN cord-286305-2bwlxlfo 46 42 probability probability NN cord-286305-2bwlxlfo 46 43 ) ) -RRB- cord-286305-2bwlxlfo 46 44 and and CC cord-286305-2bwlxlfo 46 45 18 18 CD cord-286305-2bwlxlfo 46 46 days day NNS cord-286305-2bwlxlfo 46 47 ( ( -LRB- cord-286305-2bwlxlfo 46 48 99.7 99.7 CD cord-286305-2bwlxlfo 46 49 % % NN cord-286305-2bwlxlfo 46 50 probability probability NN cord-286305-2bwlxlfo 46 51 ) ) -RRB- cord-286305-2bwlxlfo 46 52 . . . cord-286305-2bwlxlfo 47 1 Both both DT cord-286305-2bwlxlfo 47 2 the the DT cord-286305-2bwlxlfo 47 3 date date NN cord-286305-2bwlxlfo 47 4 of of IN cord-286305-2bwlxlfo 47 5 the the DT cord-286305-2bwlxlfo 47 6 flex flex NN cord-286305-2bwlxlfo 47 7 and and CC cord-286305-2bwlxlfo 47 8 the the DT cord-286305-2bwlxlfo 47 9 date date NN cord-286305-2bwlxlfo 47 10 of of IN cord-286305-2bwlxlfo 47 11 a a DT cord-286305-2bwlxlfo 47 12 substantial substantial JJ cord-286305-2bwlxlfo 47 13 reduction reduction NN cord-286305-2bwlxlfo 47 14 in in IN cord-286305-2bwlxlfo 47 15 the the DT cord-286305-2bwlxlfo 47 16 number number NN cord-286305-2bwlxlfo 47 17 of of IN cord-286305-2bwlxlfo 47 18 cases case NNS cord-286305-2bwlxlfo 47 19 have have VBP cord-286305-2bwlxlfo 47 20 a a DT cord-286305-2bwlxlfo 47 21 quasi quasi JJ cord-286305-2bwlxlfo 47 22 oscillating oscillating JJ cord-286305-2bwlxlfo 47 23 behavior behavior NN cord-286305-2bwlxlfo 47 24 whose whose WP$ cord-286305-2bwlxlfo 47 25 amplitude amplitude NN cord-286305-2bwlxlfo 47 26 is be VBZ cord-286305-2bwlxlfo 47 27 decreasing decrease VBG cord-286305-2bwlxlfo 47 28 by by IN cord-286305-2bwlxlfo 47 29 increasing increase VBG cord-286305-2bwlxlfo 47 30 the the DT cord-286305-2bwlxlfo 47 31 final final JJ cord-286305-2bwlxlfo 47 32 date date NN cord-286305-2bwlxlfo 47 33 of of IN cord-286305-2bwlxlfo 47 34 the the DT cord-286305-2bwlxlfo 47 35 analysis analysis NN cord-286305-2bwlxlfo 47 36 , , , cord-286305-2bwlxlfo 47 37 i.e. i.e. FW cord-286305-2bwlxlfo 47 38 , , , cord-286305-2bwlxlfo 47 39 increasing increase VBG cord-286305-2bwlxlfo 47 40 the the DT cord-286305-2bwlxlfo 47 41 number number NN cord-286305-2bwlxlfo 47 42 of of IN cord-286305-2bwlxlfo 47 43 points point NNS cord-286305-2bwlxlfo 47 44 used use VBN cord-286305-2bwlxlfo 47 45 in in IN cord-286305-2bwlxlfo 47 46 the the DT cord-286305-2bwlxlfo 47 47 fit fit NN cord-286305-2bwlxlfo 47 48 . . . cord-286305-2bwlxlfo 48 1 Indeed indeed RB cord-286305-2bwlxlfo 48 2 , , , cord-286305-2bwlxlfo 48 3 using use VBG cord-286305-2bwlxlfo 48 4 the the DT cord-286305-2bwlxlfo 48 5 last last JJ cord-286305-2bwlxlfo 48 6 seven seven CD cord-286305-2bwlxlfo 48 7 evaluations evaluation NNS cord-286305-2bwlxlfo 48 8 out out IN cord-286305-2bwlxlfo 48 9 of of IN cord-286305-2bwlxlfo 48 10 the the DT cord-286305-2bwlxlfo 48 11 14 14 CD cord-286305-2bwlxlfo 48 12 ones one NNS cord-286305-2bwlxlfo 48 13 , , , cord-286305-2bwlxlfo 48 14 the the DT cord-286305-2bwlxlfo 48 15 previous previous JJ cord-286305-2bwlxlfo 48 16 standard standard JJ cord-286305-2bwlxlfo 48 17 deviations deviation NNS cord-286305-2bwlxlfo 48 18 reduce reduce VBP cord-286305-2bwlxlfo 48 19 by by IN cord-286305-2bwlxlfo 48 20 a a DT cord-286305-2bwlxlfo 48 21 factor factor NN cord-286305-2bwlxlfo 48 22 of of IN cord-286305-2bwlxlfo 48 23 about about RB cord-286305-2bwlxlfo 48 24 two two CD cord-286305-2bwlxlfo 48 25 . . . cord-286305-2bwlxlfo 49 1 However however RB cord-286305-2bwlxlfo 49 2 , , , cord-286305-2bwlxlfo 49 3 using use VBG cord-286305-2bwlxlfo 49 4 a a DT cord-286305-2bwlxlfo 49 5 second second JJ cord-286305-2bwlxlfo 49 6 more more RBR cord-286305-2bwlxlfo 49 7 robust robust JJ cord-286305-2bwlxlfo 49 8 method method NN cord-286305-2bwlxlfo 49 9 , , , cord-286305-2bwlxlfo 49 10 by by IN cord-286305-2bwlxlfo 49 11 a a DT cord-286305-2bwlxlfo 49 12 Monte Monte NNP cord-286305-2bwlxlfo 49 13 Carlo Carlo NNP cord-286305-2bwlxlfo 49 14 analysis analysis NN cord-286305-2bwlxlfo 49 15 [ [ -LRB- cord-286305-2bwlxlfo 49 16 8 8 CD cord-286305-2bwlxlfo 49 17 ] ] -RRB- cord-286305-2bwlxlfo 49 18 [ [ -LRB- cord-286305-2bwlxlfo 49 19 9 9 CD cord-286305-2bwlxlfo 49 20 ] ] -RRB- cord-286305-2bwlxlfo 49 21 [ [ -LRB- cord-286305-2bwlxlfo 49 22 10 10 CD cord-286305-2bwlxlfo 49 23 ] ] -RRB- cord-286305-2bwlxlfo 49 24 , , , cord-286305-2bwlxlfo 49 25 we -PRON- PRP cord-286305-2bwlxlfo 49 26 evaluated evaluate VBD cord-286305-2bwlxlfo 49 27 narrower narrow JJR cord-286305-2bwlxlfo 49 28 uncertainties uncertainty NNS cord-286305-2bwlxlfo 49 29 for for IN cord-286305-2bwlxlfo 49 30 the the DT cord-286305-2bwlxlfo 49 31 day day NN cord-286305-2bwlxlfo 49 32 of of IN cord-286305-2bwlxlfo 49 33 the the DT cord-286305-2bwlxlfo 49 34 flex flex NNP cord-286305-2bwlxlfo 49 35 and and CC cord-286305-2bwlxlfo 49 36 for for IN cord-286305-2bwlxlfo 49 37 the the DT cord-286305-2bwlxlfo 49 38 day day NN cord-286305-2bwlxlfo 49 39 of of IN cord-286305-2bwlxlfo 49 40 a a DT cord-286305-2bwlxlfo 49 41 substantial substantial JJ cord-286305-2bwlxlfo 49 42 reduction reduction NN cord-286305-2bwlxlfo 49 43 in in IN cord-286305-2bwlxlfo 49 44 the the DT cord-286305-2bwlxlfo 49 45 number number NN cord-286305-2bwlxlfo 49 46 of of IN cord-286305-2bwlxlfo 49 47 diagnosed diagnose VBN cord-286305-2bwlxlfo 49 48 positive positive JJ cord-286305-2bwlxlfo 49 49 cases case NNS cord-286305-2bwlxlfo 49 50 , , , cord-286305-2bwlxlfo 49 51 as as IN cord-286305-2bwlxlfo 49 52 described describe VBN cord-286305-2bwlxlfo 49 53 in in IN cord-286305-2bwlxlfo 49 54 Sect Sect NNP cord-286305-2bwlxlfo 49 55 . . . cord-286305-2bwlxlfo 50 1 4 4 LS cord-286305-2bwlxlfo 50 2 . . . cord-286305-2bwlxlfo 51 1 The the DT cord-286305-2bwlxlfo 51 2 Monte Monte NNP cord-286305-2bwlxlfo 51 3 Carlo Carlo NNP cord-286305-2bwlxlfo 51 4 simulations simulation NNS cord-286305-2bwlxlfo 51 5 [ [ -LRB- cord-286305-2bwlxlfo 51 6 8 8 CD cord-286305-2bwlxlfo 51 7 ] ] -RRB- cord-286305-2bwlxlfo 51 8 [ [ -LRB- cord-286305-2bwlxlfo 51 9 9 9 CD cord-286305-2bwlxlfo 51 10 ] ] -RRB- cord-286305-2bwlxlfo 51 11 [ [ -LRB- cord-286305-2bwlxlfo 51 12 10 10 CD cord-286305-2bwlxlfo 51 13 ] ] -RRB- cord-286305-2bwlxlfo 51 14 have have VBP cord-286305-2bwlxlfo 51 15 been be VBN cord-286305-2bwlxlfo 51 16 designed design VBN cord-286305-2bwlxlfo 51 17 to to TO cord-286305-2bwlxlfo 51 18 possibly possibly RB cord-286305-2bwlxlfo 51 19 take take VB cord-286305-2bwlxlfo 51 20 into into IN cord-286305-2bwlxlfo 51 21 account account NN cord-286305-2bwlxlfo 51 22 the the DT cord-286305-2bwlxlfo 51 23 measurement measurement NN cord-286305-2bwlxlfo 51 24 error error NN cord-286305-2bwlxlfo 51 25 in in IN cord-286305-2bwlxlfo 51 26 each each DT cord-286305-2bwlxlfo 51 27 daily daily JJ cord-286305-2bwlxlfo 51 28 number number NN cord-286305-2bwlxlfo 51 29 of of IN cord-286305-2bwlxlfo 51 30 the the DT cord-286305-2bwlxlfo 51 31 cumulative cumulative JJ cord-286305-2bwlxlfo 51 32 positive positive JJ cord-286305-2bwlxlfo 51 33 cases case NNS cord-286305-2bwlxlfo 51 34 of of IN cord-286305-2bwlxlfo 51 35 COVID-19 covid-19 CD cord-286305-2bwlxlfo 51 36 in in IN cord-286305-2bwlxlfo 51 37 Italy Italy NNP cord-286305-2bwlxlfo 51 38 . . . cord-286305-2bwlxlfo 52 1 This this DT cord-286305-2bwlxlfo 52 2 error error NN cord-286305-2bwlxlfo 52 3 should should MD cord-286305-2bwlxlfo 52 4 describe describe VB cord-286305-2bwlxlfo 52 5 the the DT cord-286305-2bwlxlfo 52 6 uncertainty uncertainty NN cord-286305-2bwlxlfo 52 7 in in IN cord-286305-2bwlxlfo 52 8 the the DT cord-286305-2bwlxlfo 52 9 process process NN cord-286305-2bwlxlfo 52 10 of of IN cord-286305-2bwlxlfo 52 11 measuring measure VBG cord-286305-2bwlxlfo 52 12 the the DT cord-286305-2bwlxlfo 52 13 daily daily JJ cord-286305-2bwlxlfo 52 14 number number NN cord-286305-2bwlxlfo 52 15 of of IN cord-286305-2bwlxlfo 52 16 positive positive JJ cord-286305-2bwlxlfo 52 17 cases case NNS cord-286305-2bwlxlfo 52 18 due due JJ cord-286305-2bwlxlfo 52 19 to to IN cord-286305-2bwlxlfo 52 20 fluctuations fluctuation NNS cord-286305-2bwlxlfo 52 21 in in IN cord-286305-2bwlxlfo 52 22 the the DT cord-286305-2bwlxlfo 52 23 measurement measurement NN cord-286305-2bwlxlfo 52 24 procedures procedure NNS cord-286305-2bwlxlfo 52 25 ( ( -LRB- cord-286305-2bwlxlfo 52 26 such such JJ cord-286305-2bwlxlfo 52 27 as as IN cord-286305-2bwlxlfo 52 28 a a DT cord-286305-2bwlxlfo 52 29 different different JJ cord-286305-2bwlxlfo 52 30 number number NN cord-286305-2bwlxlfo 52 31 of of IN cord-286305-2bwlxlfo 52 32 performed perform VBN cord-286305-2bwlxlfo 52 33 daily daily JJ cord-286305-2bwlxlfo 52 34 nasopharyngeal nasopharyngeal JJ cord-286305-2bwlxlfo 52 35 swabs swab NNS cord-286305-2bwlxlfo 52 36 of of IN cord-286305-2bwlxlfo 52 37 one one CD cord-286305-2bwlxlfo 52 38 day day NN cord-286305-2bwlxlfo 52 39 with with IN cord-286305-2bwlxlfo 52 40 respect respect NN cord-286305-2bwlxlfo 52 41 to to IN cord-286305-2bwlxlfo 52 42 another another DT cord-286305-2bwlxlfo 52 43 day day NN cord-286305-2bwlxlfo 52 44 ) ) -RRB- cord-286305-2bwlxlfo 52 45 ; ; : cord-286305-2bwlxlfo 52 46 of of IN cord-286305-2bwlxlfo 52 47 course course NN cord-286305-2bwlxlfo 52 48 , , , cord-286305-2bwlxlfo 52 49 this this DT cord-286305-2bwlxlfo 52 50 error error NN cord-286305-2bwlxlfo 52 51 does do VBZ cord-286305-2bwlxlfo 52 52 not not RB cord-286305-2bwlxlfo 52 53 describe describe VB cord-286305-2bwlxlfo 52 54 the the DT cord-286305-2bwlxlfo 52 55 difference difference NN cord-286305-2bwlxlfo 52 56 between between IN cord-286305-2bwlxlfo 52 57 the the DT cord-286305-2bwlxlfo 52 58 actual actual JJ cord-286305-2bwlxlfo 52 59 total total JJ cord-286305-2bwlxlfo 52 60 positive positive JJ cord-286305-2bwlxlfo 52 61 cases case NNS cord-286305-2bwlxlfo 52 62 and and CC cord-286305-2bwlxlfo 52 63 the the DT cord-286305-2bwlxlfo 52 64 diagnosed diagnosed JJ cord-286305-2bwlxlfo 52 65 ones one NNS cord-286305-2bwlxlfo 52 66 which which WDT cord-286305-2bwlxlfo 52 67 can can MD cord-286305-2bwlxlfo 52 68 be be VB cord-286305-2bwlxlfo 52 69 very very RB cord-286305-2bwlxlfo 52 70 large large JJ cord-286305-2bwlxlfo 52 71 [ [ -LRB- cord-286305-2bwlxlfo 52 72 4 4 CD cord-286305-2bwlxlfo 52 73 ] ] -RRB- cord-286305-2bwlxlfo 52 74 . . . cord-286305-2bwlxlfo 53 1 However however RB cord-286305-2bwlxlfo 53 2 , , , cord-286305-2bwlxlfo 53 3 the the DT cord-286305-2bwlxlfo 53 4 diagnosed diagnosed JJ cord-286305-2bwlxlfo 53 5 cases case NNS cord-286305-2bwlxlfo 53 6 are be VBP cord-286305-2bwlxlfo 53 7 hypothesized hypothesize VBN cord-286305-2bwlxlfo 53 8 to to TO cord-286305-2bwlxlfo 53 9 be be VB cord-286305-2bwlxlfo 53 10 a a DT cord-286305-2bwlxlfo 53 11 representative representative JJ cord-286305-2bwlxlfo 53 12 sample sample NN cord-286305-2bwlxlfo 53 13 of of IN cord-286305-2bwlxlfo 53 14 the the DT cord-286305-2bwlxlfo 53 15 actual actual JJ cord-286305-2bwlxlfo 53 16 population population NN cord-286305-2bwlxlfo 53 17 ( ( -LRB- cord-286305-2bwlxlfo 53 18 i.e. i.e. FW cord-286305-2bwlxlfo 53 19 , , , cord-286305-2bwlxlfo 53 20 of of IN cord-286305-2bwlxlfo 53 21 the the DT cord-286305-2bwlxlfo 53 22 total total JJ cord-286305-2bwlxlfo 53 23 number number NN cord-286305-2bwlxlfo 53 24 of of IN cord-286305-2bwlxlfo 53 25 positive positive JJ cord-286305-2bwlxlfo 53 26 cases case NNS cord-286305-2bwlxlfo 53 27 , , , cord-286305-2bwlxlfo 53 28 which which WDT cord-286305-2bwlxlfo 53 29 is be VBZ cord-286305-2bwlxlfo 53 30 unknown unknown JJ cord-286305-2bwlxlfo 53 31 ) ) -RRB- cord-286305-2bwlxlfo 53 32 . . . cord-286305-2bwlxlfo 54 1 To to TO cord-286305-2bwlxlfo 54 2 get get VB cord-286305-2bwlxlfo 54 3 an an DT cord-286305-2bwlxlfo 54 4 estimate estimate NN cord-286305-2bwlxlfo 54 5 of of IN cord-286305-2bwlxlfo 54 6 the the DT cord-286305-2bwlxlfo 54 7 uncertainty uncertainty NN cord-286305-2bwlxlfo 54 8 in in IN cord-286305-2bwlxlfo 54 9 each each DT cord-286305-2bwlxlfo 54 10 daily daily JJ cord-286305-2bwlxlfo 54 11 number number NN cord-286305-2bwlxlfo 54 12 , , , cord-286305-2bwlxlfo 54 13 we -PRON- PRP cord-286305-2bwlxlfo 54 14 applied apply VBD cord-286305-2bwlxlfo 54 15 the the DT cord-286305-2bwlxlfo 54 16 following follow VBG cord-286305-2bwlxlfo 54 17 heuristic heuristic JJ cord-286305-2bwlxlfo 54 18 approach approach NN cord-286305-2bwlxlfo 54 19 . . . cord-286305-2bwlxlfo 55 1 We -PRON- PRP cord-286305-2bwlxlfo 55 2 have have VBP cord-286305-2bwlxlfo 55 3 assumed assume VBN cord-286305-2bwlxlfo 55 4 a a DT cord-286305-2bwlxlfo 55 5 measurement measurement NN cord-286305-2bwlxlfo 55 6 uncertainty uncertainty NN cord-286305-2bwlxlfo 55 7 in in IN cord-286305-2bwlxlfo 55 8 the the DT cord-286305-2bwlxlfo 55 9 total total JJ cord-286305-2bwlxlfo 55 10 number number NN cord-286305-2bwlxlfo 55 11 of of IN cord-286305-2bwlxlfo 55 12 positive positive JJ cord-286305-2bwlxlfo 55 13 cases case NNS cord-286305-2bwlxlfo 55 14 equal equal JJ cord-286305-2bwlxlfo 55 15 to to IN cord-286305-2bwlxlfo 55 16 10 10 CD cord-286305-2bwlxlfo 55 17 % % NN cord-286305-2bwlxlfo 55 18 of of IN cord-286305-2bwlxlfo 55 19 each each DT cord-286305-2bwlxlfo 55 20 daily daily JJ cord-286305-2bwlxlfo 55 21 number number NN cord-286305-2bwlxlfo 55 22 ( ( -LRB- cord-286305-2bwlxlfo 55 23 Gaussian gaussian JJ cord-286305-2bwlxlfo 55 24 distributed distribute VBN cord-286305-2bwlxlfo 55 25 ) ) -RRB- cord-286305-2bwlxlfo 55 26 . . . cord-286305-2bwlxlfo 56 1 The the DT cord-286305-2bwlxlfo 56 2 second second JJ cord-286305-2bwlxlfo 56 3 step step NN cord-286305-2bwlxlfo 56 4 was be VBD cord-286305-2bwlxlfo 56 5 to to TO cord-286305-2bwlxlfo 56 6 generate generate VB cord-286305-2bwlxlfo 56 7 a a DT cord-286305-2bwlxlfo 56 8 random random JJ cord-286305-2bwlxlfo 56 9 matrix matrix NN cord-286305-2bwlxlfo 56 10 ( ( -LRB- cord-286305-2bwlxlfo 56 11 m m NNP cord-286305-2bwlxlfo 56 12 × × NNP cord-286305-2bwlxlfo 56 13 n n NNP cord-286305-2bwlxlfo 56 14 ) ) -RRB- cord-286305-2bwlxlfo 56 15 , , , cord-286305-2bwlxlfo 56 16 where where WRB cord-286305-2bwlxlfo 56 17 n n NNP cord-286305-2bwlxlfo 56 18 ( ( -LRB- cord-286305-2bwlxlfo 56 19 columns column NNS cord-286305-2bwlxlfo 56 20 ) ) -RRB- cord-286305-2bwlxlfo 56 21 is be VBZ cord-286305-2bwlxlfo 56 22 the the DT cord-286305-2bwlxlfo 56 23 number number NN cord-286305-2bwlxlfo 56 24 of of IN cord-286305-2bwlxlfo 56 25 observed observed JJ cord-286305-2bwlxlfo 56 26 days day NNS cord-286305-2bwlxlfo 56 27 and and CC cord-286305-2bwlxlfo 56 28 m m NNP cord-286305-2bwlxlfo 56 29 ( ( -LRB- cord-286305-2bwlxlfo 56 30 rows row NNS cord-286305-2bwlxlfo 56 31 ) ) -RRB- cord-286305-2bwlxlfo 56 32 is be VBZ cord-286305-2bwlxlfo 56 33 the the DT cord-286305-2bwlxlfo 56 34 number number NN cord-286305-2bwlxlfo 56 35 of of IN cord-286305-2bwlxlfo 56 36 random random JJ cord-286305-2bwlxlfo 56 37 outcomes outcome NNS cord-286305-2bwlxlfo 56 38 , , , cord-286305-2bwlxlfo 56 39 which which WDT cord-286305-2bwlxlfo 56 40 we -PRON- PRP cord-286305-2bwlxlfo 56 41 have have VBP cord-286305-2bwlxlfo 56 42 chosen choose VBN cord-286305-2bwlxlfo 56 43 to to TO cord-286305-2bwlxlfo 56 44 be be VB cord-286305-2bwlxlfo 56 45 150 150 CD cord-286305-2bwlxlfo 56 46 . . . cord-286305-2bwlxlfo 57 1 Each each DT cord-286305-2bwlxlfo 57 2 number number NN cord-286305-2bwlxlfo 57 3 in in IN cord-286305-2bwlxlfo 57 4 the the DT cord-286305-2bwlxlfo 57 5 matrix matrix NN cord-286305-2bwlxlfo 57 6 is be VBZ cord-286305-2bwlxlfo 57 7 part part NN cord-286305-2bwlxlfo 57 8 of of IN cord-286305-2bwlxlfo 57 9 a a DT cord-286305-2bwlxlfo 57 10 Gaussian gaussian JJ cord-286305-2bwlxlfo 57 11 distribution distribution NN cord-286305-2bwlxlfo 57 12 with with IN cord-286305-2bwlxlfo 57 13 mean mean NN cord-286305-2bwlxlfo 57 14 equal equal JJ cord-286305-2bwlxlfo 57 15 to to IN cord-286305-2bwlxlfo 57 16 1 1 CD cord-286305-2bwlxlfo 57 17 and and CC cord-286305-2bwlxlfo 57 18 sigma sigma NN cord-286305-2bwlxlfo 57 19 equal equal JJ cord-286305-2bwlxlfo 57 20 to to IN cord-286305-2bwlxlfo 57 21 0.1 0.1 CD cord-286305-2bwlxlfo 57 22 ( ( -LRB- cord-286305-2bwlxlfo 57 23 i.e. i.e. FW cord-286305-2bwlxlfo 57 24 , , , cord-286305-2bwlxlfo 57 25 10 10 CD cord-286305-2bwlxlfo 57 26 % % NN cord-286305-2bwlxlfo 57 27 of of IN cord-286305-2bwlxlfo 57 28 1 1 CD cord-286305-2bwlxlfo 57 29 ) ) -RRB- cord-286305-2bwlxlfo 57 30 , , , cord-286305-2bwlxlfo 57 31 both both DT cord-286305-2bwlxlfo 57 32 row row NN cord-286305-2bwlxlfo 57 33 - - HYPH cord-286305-2bwlxlfo 57 34 wise wise JJ cord-286305-2bwlxlfo 57 35 and and CC cord-286305-2bwlxlfo 57 36 column column NN cord-286305-2bwlxlfo 57 37 - - HYPH cord-286305-2bwlxlfo 57 38 wise wise JJ cord-286305-2bwlxlfo 57 39 . . . cord-286305-2bwlxlfo 58 1 In in IN cord-286305-2bwlxlfo 58 2 such such PDT cord-286305-2bwlxlfo 58 3 a a DT cord-286305-2bwlxlfo 58 4 way way NN cord-286305-2bwlxlfo 58 5 , , , cord-286305-2bwlxlfo 58 6 each each DT cord-286305-2bwlxlfo 58 7 day day NN cord-286305-2bwlxlfo 58 8 will will MD cord-286305-2bwlxlfo 58 9 be be VB cord-286305-2bwlxlfo 58 10 characterized characterize VBN cord-286305-2bwlxlfo 58 11 by by IN cord-286305-2bwlxlfo 58 12 150 150 CD cord-286305-2bwlxlfo 58 13 simulated simulate VBN cord-286305-2bwlxlfo 58 14 outcomes outcome NNS cord-286305-2bwlxlfo 58 15 that that WDT cord-286305-2bwlxlfo 58 16 allow allow VBP cord-286305-2bwlxlfo 58 17 to to TO cord-286305-2bwlxlfo 58 18 apply apply VB cord-286305-2bwlxlfo 58 19 a a DT cord-286305-2bwlxlfo 58 20 statistical statistical JJ cord-286305-2bwlxlfo 58 21 approach approach NN cord-286305-2bwlxlfo 58 22 . . . cord-286305-2bwlxlfo 59 1 The the DT cord-286305-2bwlxlfo 59 2 150 150 CD cord-286305-2bwlxlfo 59 3 outcomes outcome NNS cord-286305-2bwlxlfo 59 4 represent represent VBP cord-286305-2bwlxlfo 59 5 a a DT cord-286305-2bwlxlfo 59 6 reasonably reasonably RB cord-286305-2bwlxlfo 59 7 large large JJ cord-286305-2bwlxlfo 59 8 number number NN cord-286305-2bwlxlfo 59 9 of of IN cord-286305-2bwlxlfo 59 10 simulated simulated JJ cord-286305-2bwlxlfo 59 11 deviations deviation NNS cord-286305-2bwlxlfo 59 12 from from IN cord-286305-2bwlxlfo 59 13 the the DT cord-286305-2bwlxlfo 59 14 official official JJ cord-286305-2bwlxlfo 59 15 data datum NNS cord-286305-2bwlxlfo 59 16 . . . cord-286305-2bwlxlfo 60 1 We -PRON- PRP cord-286305-2bwlxlfo 60 2 then then RB cord-286305-2bwlxlfo 60 3 multiplied multiply VBD cord-286305-2bwlxlfo 60 4 the the DT cord-286305-2bwlxlfo 60 5 nominal nominal JJ cord-286305-2bwlxlfo 60 6 value value NN cord-286305-2bwlxlfo 60 7 of of IN cord-286305-2bwlxlfo 60 8 the the DT cord-286305-2bwlxlfo 60 9 diagnosed diagnose VBN cord-286305-2bwlxlfo 60 10 positive positive JJ cord-286305-2bwlxlfo 60 11 cases case NNS cord-286305-2bwlxlfo 60 12 of of IN cord-286305-2bwlxlfo 60 13 the the DT cord-286305-2bwlxlfo 60 14 jth jth NNP cord-286305-2bwlxlfo 60 15 day day NN cord-286305-2bwlxlfo 60 16 for for IN cord-286305-2bwlxlfo 60 17 the the DT cord-286305-2bwlxlfo 60 18 150 150 CD cord-286305-2bwlxlfo 60 19 numbers number NNS cord-286305-2bwlxlfo 60 20 of of IN cord-286305-2bwlxlfo 60 21 the the DT cord-286305-2bwlxlfo 60 22 jth jth NNP cord-286305-2bwlxlfo 60 23 column column NN cord-286305-2bwlxlfo 60 24 of of IN cord-286305-2bwlxlfo 60 25 the the DT cord-286305-2bwlxlfo 60 26 random random JJ cord-286305-2bwlxlfo 60 27 matrix matrix NN cord-286305-2bwlxlfo 60 28 mentioned mention VBN cord-286305-2bwlxlfo 60 29 above above RB cord-286305-2bwlxlfo 60 30 . . . cord-286305-2bwlxlfo 61 1 In in IN cord-286305-2bwlxlfo 61 2 such such PDT cord-286305-2bwlxlfo 61 3 a a DT cord-286305-2bwlxlfo 61 4 way way NN cord-286305-2bwlxlfo 61 5 , , , cord-286305-2bwlxlfo 61 6 each each DT cord-286305-2bwlxlfo 61 7 day day NN cord-286305-2bwlxlfo 61 8 will will MD cord-286305-2bwlxlfo 61 9 be be VB cord-286305-2bwlxlfo 61 10 associated associate VBN cord-286305-2bwlxlfo 61 11 with with IN cord-286305-2bwlxlfo 61 12 a a DT cord-286305-2bwlxlfo 61 13 series series NN cord-286305-2bwlxlfo 61 14 of of IN cord-286305-2bwlxlfo 61 15 150 150 CD cord-286305-2bwlxlfo 61 16 numbers number NNS cord-286305-2bwlxlfo 61 17 ( ( -LRB- cord-286305-2bwlxlfo 61 18 Gaussian gaussian JJ cord-286305-2bwlxlfo 61 19 distributed distribute VBN cord-286305-2bwlxlfo 61 20 with with IN cord-286305-2bwlxlfo 61 21 a a DT cord-286305-2bwlxlfo 61 22 10 10 CD cord-286305-2bwlxlfo 61 23 % % NN cord-286305-2bwlxlfo 61 24 standard standard JJ cord-286305-2bwlxlfo 61 25 deviation deviation NN cord-286305-2bwlxlfo 61 26 ) ) -RRB- cord-286305-2bwlxlfo 61 27 , , , cord-286305-2bwlxlfo 61 28 which which WDT cord-286305-2bwlxlfo 61 29 simulate simulate VBP cord-286305-2bwlxlfo 61 30 the the DT cord-286305-2bwlxlfo 61 31 statistical statistical JJ cord-286305-2bwlxlfo 61 32 nature nature NN cord-286305-2bwlxlfo 61 33 of of IN cord-286305-2bwlxlfo 61 34 a a DT cord-286305-2bwlxlfo 61 35 single single JJ cord-286305-2bwlxlfo 61 36 datum datum NN cord-286305-2bwlxlfo 61 37 . . . cord-286305-2bwlxlfo 62 1 The the DT cord-286305-2bwlxlfo 62 2 index index NN cord-286305-2bwlxlfo 62 3 j j NNP cord-286305-2bwlxlfo 62 4 will will MD cord-286305-2bwlxlfo 62 5 run run VB cord-286305-2bwlxlfo 62 6 from from IN cord-286305-2bwlxlfo 62 7 February February NNP cord-286305-2bwlxlfo 62 8 15 15 CD cord-286305-2bwlxlfo 62 9 , , , cord-286305-2bwlxlfo 62 10 2020 2020 CD cord-286305-2bwlxlfo 62 11 , , , cord-286305-2bwlxlfo 62 12 to to IN cord-286305-2bwlxlfo 62 13 March March NNP cord-286305-2bwlxlfo 62 14 26 26 CD cord-286305-2bwlxlfo 62 15 , , , cord-286305-2bwlxlfo 62 16 2020 2020 CD cord-286305-2bwlxlfo 62 17 . . . cord-286305-2bwlxlfo 63 1 Finally finally RB cord-286305-2bwlxlfo 63 2 , , , cord-286305-2bwlxlfo 63 3 we -PRON- PRP cord-286305-2bwlxlfo 63 4 integrated integrate VBD cord-286305-2bwlxlfo 63 5 the the DT cord-286305-2bwlxlfo 63 6 daily daily JJ cord-286305-2bwlxlfo 63 7 data datum NNS cord-286305-2bwlxlfo 63 8 to to TO cord-286305-2bwlxlfo 63 9 obtain obtain VB cord-286305-2bwlxlfo 63 10 150 150 CD cord-286305-2bwlxlfo 63 11 series series NN cord-286305-2bwlxlfo 63 12 of of IN cord-286305-2bwlxlfo 63 13 the the DT cord-286305-2bwlxlfo 63 14 cumulative cumulative JJ cord-286305-2bwlxlfo 63 15 diagnosed diagnose VBN cord-286305-2bwlxlfo 63 16 positive positive JJ cord-286305-2bwlxlfo 63 17 cases case NNS cord-286305-2bwlxlfo 63 18 that that WDT cord-286305-2bwlxlfo 63 19 allowed allow VBD cord-286305-2bwlxlfo 63 20 to to TO cord-286305-2bwlxlfo 63 21 perform perform VB cord-286305-2bwlxlfo 63 22 the the DT cord-286305-2bwlxlfo 63 23 statistical statistical JJ cord-286305-2bwlxlfo 63 24 analysis analysis NN cord-286305-2bwlxlfo 63 25 . . . cord-286305-2bwlxlfo 64 1 In in IN cord-286305-2bwlxlfo 64 2 summary summary NN cord-286305-2bwlxlfo 64 3 , , , cord-286305-2bwlxlfo 64 4 starting start VBG cord-286305-2bwlxlfo 64 5 from from IN cord-286305-2bwlxlfo 64 6 the the DT cord-286305-2bwlxlfo 64 7 n n JJ cord-286305-2bwlxlfo 64 8 nominal nominal JJ cord-286305-2bwlxlfo 64 9 values value NNS cord-286305-2bwlxlfo 64 10 of of IN cord-286305-2bwlxlfo 64 11 the the DT cord-286305-2bwlxlfo 64 12 daily daily JJ cord-286305-2bwlxlfo 64 13 data datum NNS cord-286305-2bwlxlfo 64 14 , , , cord-286305-2bwlxlfo 64 15 we -PRON- PRP cord-286305-2bwlxlfo 64 16 generated generate VBD cord-286305-2bwlxlfo 64 17 n n CD cord-286305-2bwlxlfo 64 18 Gaussian gaussian JJ cord-286305-2bwlxlfo 64 19 distributions distribution NNS cord-286305-2bwlxlfo 64 20 with with IN cord-286305-2bwlxlfo 64 21 150 150 CD cord-286305-2bwlxlfo 64 22 outcomes outcome NNS cord-286305-2bwlxlfo 64 23 , , , cord-286305-2bwlxlfo 64 24 with with IN cord-286305-2bwlxlfo 64 25 mean mean NN cord-286305-2bwlxlfo 64 26 equal equal JJ cord-286305-2bwlxlfo 64 27 to to IN cord-286305-2bwlxlfo 64 28 the the DT cord-286305-2bwlxlfo 64 29 n n JJ cord-286305-2bwlxlfo 64 30 nominal nominal JJ cord-286305-2bwlxlfo 64 31 values value NNS cord-286305-2bwlxlfo 64 32 and and CC cord-286305-2bwlxlfo 64 33 with with IN cord-286305-2bwlxlfo 64 34 10 10 CD cord-286305-2bwlxlfo 64 35 % % NN cord-286305-2bwlxlfo 64 36 standard standard JJ cord-286305-2bwlxlfo 64 37 deviation deviation NN cord-286305-2bwlxlfo 64 38 . . . cord-286305-2bwlxlfo 65 1 Then then RB cord-286305-2bwlxlfo 65 2 , , , cord-286305-2bwlxlfo 65 3 for for IN cord-286305-2bwlxlfo 65 4 each each DT cord-286305-2bwlxlfo 65 5 of of IN cord-286305-2bwlxlfo 65 6 the the DT cord-286305-2bwlxlfo 65 7 150 150 CD cord-286305-2bwlxlfo 65 8 simulations simulation NNS cord-286305-2bwlxlfo 65 9 , , , cord-286305-2bwlxlfo 65 10 these these DT cord-286305-2bwlxlfo 65 11 n n NN cord-286305-2bwlxlfo 65 12 values value NNS cord-286305-2bwlxlfo 65 13 ( ( -LRB- cord-286305-2bwlxlfo 65 14 corresponding correspond VBG cord-286305-2bwlxlfo 65 15 to to IN cord-286305-2bwlxlfo 65 16 the the DT cord-286305-2bwlxlfo 65 17 cumulative cumulative JJ cord-286305-2bwlxlfo 65 18 positive positive JJ cord-286305-2bwlxlfo 65 19 cases case NNS cord-286305-2bwlxlfo 65 20 of of IN cord-286305-2bwlxlfo 65 21 n n CD cord-286305-2bwlxlfo 65 22 days day NNS cord-286305-2bwlxlfo 65 23 ) ) -RRB- cord-286305-2bwlxlfo 65 24 were be VBD cord-286305-2bwlxlfo 65 25 fitted fit VBN cord-286305-2bwlxlfo 65 26 with with IN cord-286305-2bwlxlfo 65 27 a a DT cord-286305-2bwlxlfo 65 28 four four CD cord-286305-2bwlxlfo 65 29 - - HYPH cord-286305-2bwlxlfo 65 30 parameter parameter NN cord-286305-2bwlxlfo 65 31 function function NN cord-286305-2bwlxlfo 65 32 of of IN cord-286305-2bwlxlfo 65 33 the the DT cord-286305-2bwlxlfo 65 34 type type NN cord-286305-2bwlxlfo 65 35 of of IN cord-286305-2bwlxlfo 65 36 the the DT cord-286305-2bwlxlfo 65 37 Gauss Gauss NNP cord-286305-2bwlxlfo 65 38 error error NN cord-286305-2bwlxlfo 65 39 function function NN cord-286305-2bwlxlfo 65 40 , , , cord-286305-2bwlxlfo 65 41 and and CC cord-286305-2bwlxlfo 65 42 we -PRON- PRP cord-286305-2bwlxlfo 65 43 then then RB cord-286305-2bwlxlfo 65 44 determined determine VBD cord-286305-2bwlxlfo 65 45 the the DT cord-286305-2bwlxlfo 65 46 date date NN cord-286305-2bwlxlfo 65 47 of of IN cord-286305-2bwlxlfo 65 48 the the DT cord-286305-2bwlxlfo 65 49 flex flex NN cord-286305-2bwlxlfo 65 50 with with IN cord-286305-2bwlxlfo 65 51 such such JJ cord-286305-2bwlxlfo 65 52 fitted fit VBN cord-286305-2bwlxlfo 65 53 function function NN cord-286305-2bwlxlfo 65 54 for for IN cord-286305-2bwlxlfo 65 55 each each DT cord-286305-2bwlxlfo 65 56 simulation simulation NN cord-286305-2bwlxlfo 65 57 . . . cord-286305-2bwlxlfo 66 1 Using use VBG cord-286305-2bwlxlfo 66 2 the the DT cord-286305-2bwlxlfo 66 3 fitted fit VBN cord-286305-2bwlxlfo 66 4 function function NN cord-286305-2bwlxlfo 66 5 , , , cord-286305-2bwlxlfo 66 6 we -PRON- PRP cord-286305-2bwlxlfo 66 7 also also RB cord-286305-2bwlxlfo 66 8 determined determine VBD cord-286305-2bwlxlfo 66 9 the the DT cord-286305-2bwlxlfo 66 10 date date NN cord-286305-2bwlxlfo 66 11 at at IN cord-286305-2bwlxlfo 66 12 which which WDT cord-286305-2bwlxlfo 66 13 the the DT cord-286305-2bwlxlfo 66 14 number number NN cord-286305-2bwlxlfo 66 15 of of IN cord-286305-2bwlxlfo 66 16 daily daily JJ cord-286305-2bwlxlfo 66 17 positive positive JJ cord-286305-2bwlxlfo 66 18 cases case NNS cord-286305-2bwlxlfo 66 19 will will MD cord-286305-2bwlxlfo 66 20 be be VB cord-286305-2bwlxlfo 66 21 at at IN cord-286305-2bwlxlfo 66 22 a a DT cord-286305-2bwlxlfo 66 23 certain certain JJ cord-286305-2bwlxlfo 66 24 threshold threshold NN cord-286305-2bwlxlfo 66 25 that that IN cord-286305-2bwlxlfo 66 26 , , , cord-286305-2bwlxlfo 66 27 for for IN cord-286305-2bwlxlfo 66 28 example example NN cord-286305-2bwlxlfo 66 29 , , , cord-286305-2bwlxlfo 66 30 we -PRON- PRP cord-286305-2bwlxlfo 66 31 have have VBP cord-286305-2bwlxlfo 66 32 chosen choose VBN cord-286305-2bwlxlfo 66 33 to to TO cord-286305-2bwlxlfo 66 34 be be VB cord-286305-2bwlxlfo 66 35 100 100 CD cord-286305-2bwlxlfo 66 36 . . . cord-286305-2bwlxlfo 67 1 Finally finally RB cord-286305-2bwlxlfo 67 2 , , , cord-286305-2bwlxlfo 67 3 we -PRON- PRP cord-286305-2bwlxlfo 67 4 calculated calculate VBD cord-286305-2bwlxlfo 67 5 the the DT cord-286305-2bwlxlfo 67 6 standard standard JJ cord-286305-2bwlxlfo 67 7 deviation deviation NN cord-286305-2bwlxlfo 67 8 of of IN cord-286305-2bwlxlfo 67 9 these these DT cord-286305-2bwlxlfo 67 10 150 150 CD cord-286305-2bwlxlfo 67 11 simulations simulation NNS cord-286305-2bwlxlfo 67 12 . . . cord-286305-2bwlxlfo 68 1 In in IN cord-286305-2bwlxlfo 68 2 Fig Fig NNP cord-286305-2bwlxlfo 68 3 . . . cord-286305-2bwlxlfo 69 1 5 5 CD cord-286305-2bwlxlfo 69 2 and and CC cord-286305-2bwlxlfo 69 3 Fig Fig NNP cord-286305-2bwlxlfo 69 4 . . . cord-286305-2bwlxlfo 70 1 6 6 LS cord-286305-2bwlxlfo 70 2 , , , cord-286305-2bwlxlfo 70 3 we -PRON- PRP cord-286305-2bwlxlfo 70 4 report report VBP cord-286305-2bwlxlfo 70 5 the the DT cord-286305-2bwlxlfo 70 6 values value NNS cord-286305-2bwlxlfo 70 7 ( ( -LRB- cord-286305-2bwlxlfo 70 8 red red JJ cord-286305-2bwlxlfo 70 9 dots dot NNS cord-286305-2bwlxlfo 70 10 ) ) -RRB- cord-286305-2bwlxlfo 70 11 and and CC cord-286305-2bwlxlfo 70 12 the the DT cord-286305-2bwlxlfo 70 13 mean mean JJ cord-286305-2bwlxlfo 70 14 ( ( -LRB- cord-286305-2bwlxlfo 70 15 horizontal horizontal JJ cord-286305-2bwlxlfo 70 16 solid solid JJ cord-286305-2bwlxlfo 70 17 line line NN cord-286305-2bwlxlfo 70 18 ) ) -RRB- cord-286305-2bwlxlfo 70 19 of of IN cord-286305-2bwlxlfo 70 20 the the DT cord-286305-2bwlxlfo 70 21 Monte Monte NNP cord-286305-2bwlxlfo 70 22 Carlo Carlo NNP cord-286305-2bwlxlfo 70 23 simulations simulation NNS cord-286305-2bwlxlfo 70 24 , , , cord-286305-2bwlxlfo 70 25 respectively respectively RB cord-286305-2bwlxlfo 70 26 , , , cord-286305-2bwlxlfo 70 27 for for IN cord-286305-2bwlxlfo 70 28 the the DT cord-286305-2bwlxlfo 70 29 date date NN cord-286305-2bwlxlfo 70 30 of of IN cord-286305-2bwlxlfo 70 31 the the DT cord-286305-2bwlxlfo 70 32 flex flex NNP cord-286305-2bwlxlfo 70 33 and and CC cord-286305-2bwlxlfo 70 34 for for IN cord-286305-2bwlxlfo 70 35 the the DT cord-286305-2bwlxlfo 70 36 date date NN cord-286305-2bwlxlfo 70 37 of of IN cord-286305-2bwlxlfo 70 38 a a DT cord-286305-2bwlxlfo 70 39 substantial substantial JJ cord-286305-2bwlxlfo 70 40 reduction reduction NN cord-286305-2bwlxlfo 70 41 in in IN cord-286305-2bwlxlfo 70 42 the the DT cord-286305-2bwlxlfo 70 43 number number NN cord-286305-2bwlxlfo 70 44 of of IN cord-286305-2bwlxlfo 70 45 daily daily JJ cord-286305-2bwlxlfo 70 46 positive positive JJ cord-286305-2bwlxlfo 70 47 cases case NNS cord-286305-2bwlxlfo 70 48 . . . cord-286305-2bwlxlfo 71 1 Using use VBG cord-286305-2bwlxlfo 71 2 n n CC cord-286305-2bwlxlfo 71 3 = = SYM cord-286305-2bwlxlfo 71 4 41 41 CD cord-286305-2bwlxlfo 71 5 days day NNS cord-286305-2bwlxlfo 71 6 ( ( -LRB- cord-286305-2bwlxlfo 71 7 i.e. i.e. FW cord-286305-2bwlxlfo 71 8 , , , cord-286305-2bwlxlfo 71 9 the the DT cord-286305-2bwlxlfo 71 10 number number NN cord-286305-2bwlxlfo 71 11 of of IN cord-286305-2bwlxlfo 71 12 daily daily JJ cord-286305-2bwlxlfo 71 13 diagnosed diagnose VBN cord-286305-2bwlxlfo 71 14 positive positive JJ cord-286305-2bwlxlfo 71 15 cases case NNS cord-286305-2bwlxlfo 71 16 up up IN cord-286305-2bwlxlfo 71 17 to to IN cord-286305-2bwlxlfo 71 18 March March NNP cord-286305-2bwlxlfo 71 19 26 26 CD cord-286305-2bwlxlfo 71 20 , , , cord-286305-2bwlxlfo 71 21 2020 2020 CD cord-286305-2bwlxlfo 71 22 ) ) -RRB- cord-286305-2bwlxlfo 71 23 , , , cord-286305-2bwlxlfo 71 24 the the DT cord-286305-2bwlxlfo 71 25 mean mean NN cord-286305-2bwlxlfo 71 26 of of IN cord-286305-2bwlxlfo 71 27 the the DT cord-286305-2bwlxlfo 71 28 150 150 CD cord-286305-2bwlxlfo 71 29 Monte Monte NNP cord-286305-2bwlxlfo 71 30 Carlo Carlo NNP cord-286305-2bwlxlfo 71 31 simulations simulation NNS cord-286305-2bwlxlfo 71 32 gives give VBZ cord-286305-2bwlxlfo 71 33 the the DT cord-286305-2bwlxlfo 71 34 expected expect VBN cord-286305-2bwlxlfo 71 35 dates date NNS cord-286305-2bwlxlfo 71 36 of of IN cord-286305-2bwlxlfo 71 37 March March NNP cord-286305-2bwlxlfo 71 38 25 25 CD cord-286305-2bwlxlfo 71 39 , , , cord-286305-2bwlxlfo 71 40 2020 2020 CD cord-286305-2bwlxlfo 71 41 , , , cord-286305-2bwlxlfo 71 42 and and CC cord-286305-2bwlxlfo 71 43 April April NNP cord-286305-2bwlxlfo 71 44 22 22 CD cord-286305-2bwlxlfo 71 45 , , , cord-286305-2bwlxlfo 71 46 2020 2020 CD cord-286305-2bwlxlfo 71 47 , , , cord-286305-2bwlxlfo 71 48 for for IN cord-286305-2bwlxlfo 71 49 the the DT cord-286305-2bwlxlfo 71 50 flex flex NN cord-286305-2bwlxlfo 71 51 and and CC cord-286305-2bwlxlfo 71 52 the the DT cord-286305-2bwlxlfo 71 53 day day NN cord-286305-2bwlxlfo 71 54 of of IN cord-286305-2bwlxlfo 71 55 a a DT cord-286305-2bwlxlfo 71 56 substantial substantial JJ cord-286305-2bwlxlfo 71 57 reduction reduction NN cord-286305-2bwlxlfo 71 58 in in IN cord-286305-2bwlxlfo 71 59 the the DT cord-286305-2bwlxlfo 71 60 number number NN cord-286305-2bwlxlfo 71 61 of of IN cord-286305-2bwlxlfo 71 62 daily daily JJ cord-286305-2bwlxlfo 71 63 cases case NNS cord-286305-2bwlxlfo 71 64 ( ( -LRB- cord-286305-2bwlxlfo 71 65 about about RB cord-286305-2bwlxlfo 71 66 100 100 CD cord-286305-2bwlxlfo 71 67 ) ) -RRB- cord-286305-2bwlxlfo 71 68 , , , cord-286305-2bwlxlfo 71 69 respectively respectively RB cord-286305-2bwlxlfo 71 70 . . . cord-286305-2bwlxlfo 72 1 We -PRON- PRP cord-286305-2bwlxlfo 72 2 then then RB cord-286305-2bwlxlfo 72 3 obtained obtain VBD cord-286305-2bwlxlfo 72 4 a a DT cord-286305-2bwlxlfo 72 5 standard standard JJ cord-286305-2bwlxlfo 72 6 deviation deviation NN cord-286305-2bwlxlfo 72 7 ( ( -LRB- cord-286305-2bwlxlfo 72 8 1-sigma 1-sigma CD cord-286305-2bwlxlfo 72 9 ) ) -RRB- cord-286305-2bwlxlfo 72 10 of of IN cord-286305-2bwlxlfo 72 11 1 1 CD cord-286305-2bwlxlfo 72 12 day day NN cord-286305-2bwlxlfo 72 13 for for IN cord-286305-2bwlxlfo 72 14 the the DT cord-286305-2bwlxlfo 72 15 date date NN cord-286305-2bwlxlfo 72 16 of of IN cord-286305-2bwlxlfo 72 17 the the DT cord-286305-2bwlxlfo 72 18 flex flex JJ cord-286305-2bwlxlfo 72 19 and and CC cord-286305-2bwlxlfo 72 20 of of IN cord-286305-2bwlxlfo 72 21 2.3 2.3 CD cord-286305-2bwlxlfo 72 22 days day NNS cord-286305-2bwlxlfo 72 23 for for IN cord-286305-2bwlxlfo 72 24 the the DT cord-286305-2bwlxlfo 72 25 date date NN cord-286305-2bwlxlfo 72 26 in in IN cord-286305-2bwlxlfo 72 27 which which WDT cord-286305-2bwlxlfo 72 28 a a DT cord-286305-2bwlxlfo 72 29 substantial substantial JJ cord-286305-2bwlxlfo 72 30 reduction reduction NN cord-286305-2bwlxlfo 72 31 in in IN cord-286305-2bwlxlfo 72 32 the the DT cord-286305-2bwlxlfo 72 33 number number NN cord-286305-2bwlxlfo 72 34 of of IN cord-286305-2bwlxlfo 72 35 daily daily JJ cord-286305-2bwlxlfo 72 36 cases case NNS cord-286305-2bwlxlfo 72 37 would would MD cord-286305-2bwlxlfo 72 38 be be VB cord-286305-2bwlxlfo 72 39 about about RB cord-286305-2bwlxlfo 72 40 100 100 CD cord-286305-2bwlxlfo 72 41 . . . cord-286305-2bwlxlfo 73 1 This this DT cord-286305-2bwlxlfo 73 2 result result NN cord-286305-2bwlxlfo 73 3 corresponds correspond VBZ cord-286305-2bwlxlfo 73 4 to to IN cord-286305-2bwlxlfo 73 5 a a DT cord-286305-2bwlxlfo 73 6 probability probability NN cord-286305-2bwlxlfo 73 7 of of IN cord-286305-2bwlxlfo 73 8 68.2 68.2 CD cord-286305-2bwlxlfo 73 9 % % NN cord-286305-2bwlxlfo 73 10 that that IN cord-286305-2bwlxlfo 73 11 the the DT cord-286305-2bwlxlfo 73 12 date date NN cord-286305-2bwlxlfo 73 13 of of IN cord-286305-2bwlxlfo 73 14 the the DT cord-286305-2bwlxlfo 73 15 flex flex NN cord-286305-2bwlxlfo 73 16 will will MD cord-286305-2bwlxlfo 73 17 be be VB cord-286305-2bwlxlfo 73 18 at at IN cord-286305-2bwlxlfo 73 19 a a DT cord-286305-2bwlxlfo 73 20 certain certain JJ cord-286305-2bwlxlfo 73 21 date date NN cord-286305-2bwlxlfo 73 22 plus plus CC cord-286305-2bwlxlfo 73 23 or or CC cord-286305-2bwlxlfo 73 24 minus minus RB cord-286305-2bwlxlfo 73 25 1 1 CD cord-286305-2bwlxlfo 73 26 day day NN cord-286305-2bwlxlfo 73 27 and and CC cord-286305-2bwlxlfo 73 28 that that IN cord-286305-2bwlxlfo 73 29 the the DT cord-286305-2bwlxlfo 73 30 date date NN cord-286305-2bwlxlfo 73 31 of of IN cord-286305-2bwlxlfo 73 32 a a DT cord-286305-2bwlxlfo 73 33 substantial substantial JJ cord-286305-2bwlxlfo 73 34 reduction reduction NN cord-286305-2bwlxlfo 73 35 in in IN cord-286305-2bwlxlfo 73 36 the the DT cord-286305-2bwlxlfo 73 37 number number NN cord-286305-2bwlxlfo 73 38 of of IN cord-286305-2bwlxlfo 73 39 cases case NNS cord-286305-2bwlxlfo 73 40 will will MD cord-286305-2bwlxlfo 73 41 be be VB cord-286305-2bwlxlfo 73 42 at at IN cord-286305-2bwlxlfo 73 43 a a DT cord-286305-2bwlxlfo 73 44 certain certain JJ cord-286305-2bwlxlfo 73 45 date date NN cord-286305-2bwlxlfo 73 46 plus plus CC cord-286305-2bwlxlfo 73 47 or or CC cord-286305-2bwlxlfo 73 48 minus minus IN cord-286305-2bwlxlfo 73 49 2.3 2.3 CD cord-286305-2bwlxlfo 73 50 days day NNS cord-286305-2bwlxlfo 73 51 . . . cord-286305-2bwlxlfo 74 1 A a DT cord-286305-2bwlxlfo 74 2 2-sigma 2-sigma CD cord-286305-2bwlxlfo 74 3 standard standard JJ cord-286305-2bwlxlfo 74 4 deviation deviation NN cord-286305-2bwlxlfo 74 5 will will MD cord-286305-2bwlxlfo 74 6 give give VB cord-286305-2bwlxlfo 74 7 a a DT cord-286305-2bwlxlfo 74 8 more more RBR cord-286305-2bwlxlfo 74 9 robust robust JJ cord-286305-2bwlxlfo 74 10 probability probability NN cord-286305-2bwlxlfo 74 11 of of IN cord-286305-2bwlxlfo 74 12 95.4 95.4 CD cord-286305-2bwlxlfo 74 13 % % NN cord-286305-2bwlxlfo 74 14 of of IN cord-286305-2bwlxlfo 74 15 the the DT cord-286305-2bwlxlfo 74 16 day day NN cord-286305-2bwlxlfo 74 17 of of IN cord-286305-2bwlxlfo 74 18 the the DT cord-286305-2bwlxlfo 74 19 flex flex NN cord-286305-2bwlxlfo 74 20 and and CC cord-286305-2bwlxlfo 74 21 of of IN cord-286305-2bwlxlfo 74 22 the the DT cord-286305-2bwlxlfo 74 23 day day NN cord-286305-2bwlxlfo 74 24 of of IN cord-286305-2bwlxlfo 74 25 a a DT cord-286305-2bwlxlfo 74 26 substantial substantial JJ cord-286305-2bwlxlfo 74 27 reduction reduction NN cord-286305-2bwlxlfo 74 28 in in IN cord-286305-2bwlxlfo 74 29 the the DT cord-286305-2bwlxlfo 74 30 number number NN cord-286305-2bwlxlfo 74 31 of of IN cord-286305-2bwlxlfo 74 32 cases case NNS cord-286305-2bwlxlfo 74 33 . . . cord-286305-2bwlxlfo 75 1 The the DT cord-286305-2bwlxlfo 75 2 2-sigma 2-sigma CD cord-286305-2bwlxlfo 75 3 values value NNS cord-286305-2bwlxlfo 75 4 correspond correspond VBP cord-286305-2bwlxlfo 75 5 to to IN cord-286305-2bwlxlfo 75 6 plus plus NN cord-286305-2bwlxlfo 75 7 or or CC cord-286305-2bwlxlfo 75 8 minus minus RB cord-286305-2bwlxlfo 75 9 2 2 CD cord-286305-2bwlxlfo 75 10 days day NNS cord-286305-2bwlxlfo 75 11 for for IN cord-286305-2bwlxlfo 75 12 the the DT cord-286305-2bwlxlfo 75 13 day day NN cord-286305-2bwlxlfo 75 14 of of IN cord-286305-2bwlxlfo 75 15 the the DT cord-286305-2bwlxlfo 75 16 flex flex JJ cord-286305-2bwlxlfo 75 17 and and CC cord-286305-2bwlxlfo 75 18 plus plus NN cord-286305-2bwlxlfo 75 19 or or CC cord-286305-2bwlxlfo 75 20 minus minus IN cord-286305-2bwlxlfo 75 21 4.6 4.6 CD cord-286305-2bwlxlfo 75 22 days day NNS cord-286305-2bwlxlfo 75 23 for for IN cord-286305-2bwlxlfo 75 24 the the DT cord-286305-2bwlxlfo 75 25 day day NN cord-286305-2bwlxlfo 75 26 of of IN cord-286305-2bwlxlfo 75 27 a a DT cord-286305-2bwlxlfo 75 28 substantial substantial JJ cord-286305-2bwlxlfo 75 29 reduction reduction NN cord-286305-2bwlxlfo 75 30 in in IN cord-286305-2bwlxlfo 75 31 the the DT cord-286305-2bwlxlfo 75 32 number number NN cord-286305-2bwlxlfo 75 33 of of IN cord-286305-2bwlxlfo 75 34 cases case NNS cord-286305-2bwlxlfo 75 35 . . . cord-286305-2bwlxlfo 76 1 A a DT cord-286305-2bwlxlfo 76 2 similar similar JJ cord-286305-2bwlxlfo 76 3 uncertainty uncertainty NN cord-286305-2bwlxlfo 76 4 was be VBD cord-286305-2bwlxlfo 76 5 obtained obtain VBN cord-286305-2bwlxlfo 76 6 for for IN cord-286305-2bwlxlfo 76 7 the the DT cord-286305-2bwlxlfo 76 8 day day NN cord-286305-2bwlxlfo 76 9 of of IN cord-286305-2bwlxlfo 76 10 the the DT cord-286305-2bwlxlfo 76 11 flex flex NN cord-286305-2bwlxlfo 76 12 and and CC cord-286305-2bwlxlfo 76 13 the the DT cord-286305-2bwlxlfo 76 14 day day NN cord-286305-2bwlxlfo 76 15 of of IN cord-286305-2bwlxlfo 76 16 a a DT cord-286305-2bwlxlfo 76 17 substantial substantial JJ cord-286305-2bwlxlfo 76 18 reduction reduction NN cord-286305-2bwlxlfo 76 19 in in IN cord-286305-2bwlxlfo 76 20 the the DT cord-286305-2bwlxlfo 76 21 number number NN cord-286305-2bwlxlfo 76 22 of of IN cord-286305-2bwlxlfo 76 23 fatalities fatality NNS cord-286305-2bwlxlfo 76 24 . . . cord-286305-2bwlxlfo 77 1 In in IN cord-286305-2bwlxlfo 77 2 this this DT cord-286305-2bwlxlfo 77 3 paper paper NN cord-286305-2bwlxlfo 77 4 , , , cord-286305-2bwlxlfo 77 5 we -PRON- PRP cord-286305-2bwlxlfo 77 6 considered consider VBD cord-286305-2bwlxlfo 77 7 the the DT cord-286305-2bwlxlfo 77 8 first first JJ cord-286305-2bwlxlfo 77 9 44 44 CD cord-286305-2bwlxlfo 77 10 days day NNS cord-286305-2bwlxlfo 77 11 for for IN cord-286305-2bwlxlfo 77 12 fitting fit VBG cord-286305-2bwlxlfo 77 13 the the DT cord-286305-2bwlxlfo 77 14 cumulative cumulative JJ cord-286305-2bwlxlfo 77 15 diagnosed diagnose VBN cord-286305-2bwlxlfo 77 16 positive positive JJ cord-286305-2bwlxlfo 77 17 cases case NNS cord-286305-2bwlxlfo 77 18 of of IN cord-286305-2bwlxlfo 77 19 COVID-19 covid-19 CD cord-286305-2bwlxlfo 77 20 in in IN cord-286305-2bwlxlfo 77 21 Italy Italy NNP cord-286305-2bwlxlfo 77 22 ( ( -LRB- cord-286305-2bwlxlfo 77 23 i.e. i.e. FW cord-286305-2bwlxlfo 77 24 , , , cord-286305-2bwlxlfo 77 25 from from IN cord-286305-2bwlxlfo 77 26 February February NNP cord-286305-2bwlxlfo 77 27 15 15 CD cord-286305-2bwlxlfo 77 28 , , , cord-286305-2bwlxlfo 77 29 2020 2020 CD cord-286305-2bwlxlfo 77 30 , , , cord-286305-2bwlxlfo 77 31 to to IN cord-286305-2bwlxlfo 77 32 March March NNP cord-286305-2bwlxlfo 77 33 29 29 CD cord-286305-2bwlxlfo 77 34 , , , cord-286305-2bwlxlfo 77 35 2020 2020 CD cord-286305-2bwlxlfo 77 36 ) ) -RRB- cord-286305-2bwlxlfo 77 37 and and CC cord-286305-2bwlxlfo 77 38 the the DT cord-286305-2bwlxlfo 77 39 first first JJ cord-286305-2bwlxlfo 77 40 41 41 CD cord-286305-2bwlxlfo 77 41 days day NNS cord-286305-2bwlxlfo 77 42 for for IN cord-286305-2bwlxlfo 77 43 the the DT cord-286305-2bwlxlfo 77 44 Monte Monte NNP cord-286305-2bwlxlfo 77 45 Carlo Carlo NNP cord-286305-2bwlxlfo 77 46 simulations simulation NNS cord-286305-2bwlxlfo 77 47 . . . cord-286305-2bwlxlfo 78 1 The the DT cord-286305-2bwlxlfo 78 2 function function NN cord-286305-2bwlxlfo 78 3 used use VBN cord-286305-2bwlxlfo 78 4 for for IN cord-286305-2bwlxlfo 78 5 the the DT cord-286305-2bwlxlfo 78 6 fitting fitting NN cord-286305-2bwlxlfo 78 7 is be VBZ cord-286305-2bwlxlfo 78 8 of of IN cord-286305-2bwlxlfo 78 9 the the DT cord-286305-2bwlxlfo 78 10 type type NN cord-286305-2bwlxlfo 78 11 of of IN cord-286305-2bwlxlfo 78 12 the the DT cord-286305-2bwlxlfo 78 13 Gauss Gauss NNP cord-286305-2bwlxlfo 78 14 error error NN cord-286305-2bwlxlfo 78 15 function function NN cord-286305-2bwlxlfo 78 16 with with IN cord-286305-2bwlxlfo 78 17 four four CD cord-286305-2bwlxlfo 78 18 parameters parameter NNS cord-286305-2bwlxlfo 78 19 ( ( -LRB- cord-286305-2bwlxlfo 78 20 a a DT cord-286305-2bwlxlfo 78 21 distribution distribution NN cord-286305-2bwlxlfo 78 22 function function NN cord-286305-2bwlxlfo 78 23 which which WDT cord-286305-2bwlxlfo 78 24 well well RB cord-286305-2bwlxlfo 78 25 fits fit VBZ cord-286305-2bwlxlfo 78 26 the the DT cord-286305-2bwlxlfo 78 27 corresponding corresponding JJ cord-286305-2bwlxlfo 78 28 cumulative cumulative JJ cord-286305-2bwlxlfo 78 29 diagnosed diagnose VBN cord-286305-2bwlxlfo 78 30 positive positive JJ cord-286305-2bwlxlfo 78 31 cases case NNS cord-286305-2bwlxlfo 78 32 in in IN cord-286305-2bwlxlfo 78 33 China China NNP cord-286305-2bwlxlfo 78 34 ) ) -RRB- cord-286305-2bwlxlfo 78 35 . . . cord-286305-2bwlxlfo 79 1 We -PRON- PRP cord-286305-2bwlxlfo 79 2 obtained obtain VBD cord-286305-2bwlxlfo 79 3 that that IN cord-286305-2bwlxlfo 79 4 the the DT cord-286305-2bwlxlfo 79 5 day day NN cord-286305-2bwlxlfo 79 6 of of IN cord-286305-2bwlxlfo 79 7 the the DT cord-286305-2bwlxlfo 79 8 flex flex JJ cord-286305-2bwlxlfo 79 9 ( ( -LRB- cord-286305-2bwlxlfo 79 10 i.e. i.e. FW cord-286305-2bwlxlfo 79 11 , , , cord-286305-2bwlxlfo 79 12 the the DT cord-286305-2bwlxlfo 79 13 day day NN cord-286305-2bwlxlfo 79 14 of of IN cord-286305-2bwlxlfo 79 15 deceleration deceleration NN cord-286305-2bwlxlfo 79 16 in in IN cord-286305-2bwlxlfo 79 17 the the DT cord-286305-2bwlxlfo 79 18 number number NN cord-286305-2bwlxlfo 79 19 of of IN cord-286305-2bwlxlfo 79 20 daily daily JJ cord-286305-2bwlxlfo 79 21 positive positive JJ cord-286305-2bwlxlfo 79 22 cases case NNS cord-286305-2bwlxlfo 79 23 ) ) -RRB- cord-286305-2bwlxlfo 79 24 is be VBZ cord-286305-2bwlxlfo 79 25 in in IN cord-286305-2bwlxlfo 79 26 Italy Italy NNP cord-286305-2bwlxlfo 79 27 , , , cord-286305-2bwlxlfo 79 28 with with IN cord-286305-2bwlxlfo 79 29 a a DT cord-286305-2bwlxlfo 79 30 95.4 95.4 CD cord-286305-2bwlxlfo 79 31 % % NN cord-286305-2bwlxlfo 79 32 probability probability NN cord-286305-2bwlxlfo 79 33 , , , cord-286305-2bwlxlfo 79 34 between between IN cord-286305-2bwlxlfo 79 35 March March NNP cord-286305-2bwlxlfo 79 36 23 23 CD cord-286305-2bwlxlfo 79 37 , , , cord-286305-2bwlxlfo 79 38 2020 2020 CD cord-286305-2bwlxlfo 79 39 , , , cord-286305-2bwlxlfo 79 40 and and CC cord-286305-2bwlxlfo 79 41 March March NNP cord-286305-2bwlxlfo 79 42 27 27 CD cord-286305-2bwlxlfo 79 43 , , , cord-286305-2bwlxlfo 79 44 2020 2020 CD cord-286305-2bwlxlfo 79 45 ; ; : cord-286305-2bwlxlfo 79 46 the the DT cord-286305-2bwlxlfo 79 47 2-sigma 2-sigma CD cord-286305-2bwlxlfo 79 48 uncertainty uncertainty NN cord-286305-2bwlxlfo 79 49 of of IN cord-286305-2bwlxlfo 79 50 + + NN cord-286305-2bwlxlfo 79 51 /− /− SYM cord-286305-2bwlxlfo 79 52 2 2 CD cord-286305-2bwlxlfo 79 53 days day NNS cord-286305-2bwlxlfo 79 54 was be VBD cord-286305-2bwlxlfo 79 55 obtained obtain VBN cord-286305-2bwlxlfo 79 56 with with IN cord-286305-2bwlxlfo 79 57 Monte Monte NNP cord-286305-2bwlxlfo 79 58 Carlo Carlo NNP cord-286305-2bwlxlfo 79 59 simulations simulation NNS cord-286305-2bwlxlfo 79 60 . . . cord-286305-2bwlxlfo 80 1 In in IN cord-286305-2bwlxlfo 80 2 regard regard NN cord-286305-2bwlxlfo 80 3 to to IN cord-286305-2bwlxlfo 80 4 the the DT cord-286305-2bwlxlfo 80 5 day day NN cord-286305-2bwlxlfo 80 6 of of IN cord-286305-2bwlxlfo 80 7 a a DT cord-286305-2bwlxlfo 80 8 substantial substantial JJ cord-286305-2bwlxlfo 80 9 reduction reduction NN cord-286305-2bwlxlfo 80 10 in in IN cord-286305-2bwlxlfo 80 11 the the DT cord-286305-2bwlxlfo 80 12 number number NN cord-286305-2bwlxlfo 80 13 of of IN cord-286305-2bwlxlfo 80 14 daily daily JJ cord-286305-2bwlxlfo 80 15 positive positive JJ cord-286305-2bwlxlfo 80 16 cases case NNS cord-286305-2bwlxlfo 80 17 ( ( -LRB- cord-286305-2bwlxlfo 80 18 which which WDT cord-286305-2bwlxlfo 80 19 , , , cord-286305-2bwlxlfo 80 20 for for IN cord-286305-2bwlxlfo 80 21 example example NN cord-286305-2bwlxlfo 80 22 , , , cord-286305-2bwlxlfo 80 23 we -PRON- PRP cord-286305-2bwlxlfo 80 24 took take VBD cord-286305-2bwlxlfo 80 25 to to TO cord-286305-2bwlxlfo 80 26 be be VB cord-286305-2bwlxlfo 80 27 100 100 CD cord-286305-2bwlxlfo 80 28 ) ) -RRB- cord-286305-2bwlxlfo 80 29 , , , cord-286305-2bwlxlfo 80 30 this this DT cord-286305-2bwlxlfo 80 31 day day NN cord-286305-2bwlxlfo 80 32 will will MD cord-286305-2bwlxlfo 80 33 be be VB cord-286305-2bwlxlfo 80 34 in in IN cord-286305-2bwlxlfo 80 35 Italy Italy NNP cord-286305-2bwlxlfo 80 36 , , , cord-286305-2bwlxlfo 80 37 with with IN cord-286305-2bwlxlfo 80 38 a a DT cord-286305-2bwlxlfo 80 39 95.4 95.4 CD cord-286305-2bwlxlfo 80 40 % % NN cord-286305-2bwlxlfo 80 41 probability probability NN cord-286305-2bwlxlfo 80 42 , , , cord-286305-2bwlxlfo 80 43 between between IN cord-286305-2bwlxlfo 80 44 April April NNP cord-286305-2bwlxlfo 80 45 17 17 CD cord-286305-2bwlxlfo 80 46 , , , cord-286305-2bwlxlfo 80 47 2020 2020 CD cord-286305-2bwlxlfo 80 48 , , , cord-286305-2bwlxlfo 80 49 and and CC cord-286305-2bwlxlfo 80 50 April April NNP cord-286305-2bwlxlfo 80 51 27 27 CD cord-286305-2bwlxlfo 80 52 , , , cord-286305-2bwlxlfo 80 53 2020 2020 CD cord-286305-2bwlxlfo 80 54 ; ; : cord-286305-2bwlxlfo 80 55 the the DT cord-286305-2bwlxlfo 80 56 2-sigma 2-sigma CD cord-286305-2bwlxlfo 80 57 uncertainty uncertainty NN cord-286305-2bwlxlfo 80 58 of of IN cord-286305-2bwlxlfo 80 59 + + CD cord-286305-2bwlxlfo 80 60 /− /− . cord-286305-2bwlxlfo 80 61 4.6 4.6 CD cord-286305-2bwlxlfo 80 62 days day NNS cord-286305-2bwlxlfo 80 63 was be VBD cord-286305-2bwlxlfo 80 64 also also RB cord-286305-2bwlxlfo 80 65 obtained obtain VBN cord-286305-2bwlxlfo 80 66 with with IN cord-286305-2bwlxlfo 80 67 the the DT cord-286305-2bwlxlfo 80 68 Monte Monte NNP cord-286305-2bwlxlfo 80 69 Carlo Carlo NNP cord-286305-2bwlxlfo 80 70 simulations simulation NNS cord-286305-2bwlxlfo 80 71 . . . cord-286305-2bwlxlfo 81 1 In in IN cord-286305-2bwlxlfo 81 2 regard regard NN cord-286305-2bwlxlfo 81 3 to to IN cord-286305-2bwlxlfo 81 4 the the DT cord-286305-2bwlxlfo 81 5 day day NN cord-286305-2bwlxlfo 81 6 of of IN cord-286305-2bwlxlfo 81 7 the the DT cord-286305-2bwlxlfo 81 8 flex flex NN cord-286305-2bwlxlfo 81 9 and and CC cord-286305-2bwlxlfo 81 10 the the DT cord-286305-2bwlxlfo 81 11 day day NN cord-286305-2bwlxlfo 81 12 of of IN cord-286305-2bwlxlfo 81 13 a a DT cord-286305-2bwlxlfo 81 14 substantial substantial JJ cord-286305-2bwlxlfo 81 15 reduction reduction NN cord-286305-2bwlxlfo 81 16 in in IN cord-286305-2bwlxlfo 81 17 the the DT cord-286305-2bwlxlfo 81 18 number number NN cord-286305-2bwlxlfo 81 19 of of IN cord-286305-2bwlxlfo 81 20 fatalities fatality NNS cord-286305-2bwlxlfo 81 21 , , , cord-286305-2bwlxlfo 81 22 we -PRON- PRP cord-286305-2bwlxlfo 81 23 obtained obtain VBD cord-286305-2bwlxlfo 81 24 a a DT cord-286305-2bwlxlfo 81 25 four four CD cord-286305-2bwlxlfo 81 26 - - HYPH cord-286305-2bwlxlfo 81 27 day day NN cord-286305-2bwlxlfo 81 28 forward forward NN cord-286305-2bwlxlfo 81 29 shift shift NN cord-286305-2bwlxlfo 81 30 with with IN cord-286305-2bwlxlfo 81 31 respect respect NN cord-286305-2bwlxlfo 81 32 to to IN cord-286305-2bwlxlfo 81 33 the the DT cord-286305-2bwlxlfo 81 34 corresponding corresponding JJ cord-286305-2bwlxlfo 81 35 dates date NNS cord-286305-2bwlxlfo 81 36 of of IN cord-286305-2bwlxlfo 81 37 the the DT cord-286305-2bwlxlfo 81 38 positive positive JJ cord-286305-2bwlxlfo 81 39 cases case NNS cord-286305-2bwlxlfo 81 40 . . . cord-286305-2bwlxlfo 82 1 The the DT cord-286305-2bwlxlfo 82 2 predictions prediction NNS cord-286305-2bwlxlfo 82 3 discussed discuss VBN cord-286305-2bwlxlfo 82 4 in in IN cord-286305-2bwlxlfo 82 5 this this DT cord-286305-2bwlxlfo 82 6 paper paper NN cord-286305-2bwlxlfo 82 7 are be VBP cord-286305-2bwlxlfo 82 8 statistical statistical JJ cord-286305-2bwlxlfo 82 9 in in IN cord-286305-2bwlxlfo 82 10 nature nature NN cord-286305-2bwlxlfo 82 11 and and CC cord-286305-2bwlxlfo 82 12 do do VBP cord-286305-2bwlxlfo 82 13 not not RB cord-286305-2bwlxlfo 82 14 explicitly explicitly RB cord-286305-2bwlxlfo 82 15 take take VB cord-286305-2bwlxlfo 82 16 into into IN cord-286305-2bwlxlfo 82 17 account account NN cord-286305-2bwlxlfo 82 18 the the DT cord-286305-2bwlxlfo 82 19 relevant relevant JJ cord-286305-2bwlxlfo 82 20 factors factor NNS cord-286305-2bwlxlfo 82 21 of of IN cord-286305-2bwlxlfo 82 22 the the DT cord-286305-2bwlxlfo 82 23 daily daily JJ cord-286305-2bwlxlfo 82 24 number number NN cord-286305-2bwlxlfo 82 25 of of IN cord-286305-2bwlxlfo 82 26 nasopharyngeal nasopharyngeal JJ cord-286305-2bwlxlfo 82 27 swabs swab NNS cord-286305-2bwlxlfo 82 28 , , , cord-286305-2bwlxlfo 82 29 social social JJ cord-286305-2bwlxlfo 82 30 distancing distancing NN cord-286305-2bwlxlfo 82 31 , , , cord-286305-2bwlxlfo 82 32 and and CC cord-286305-2bwlxlfo 82 33 epidemiological epidemiological JJ cord-286305-2bwlxlfo 82 34 and and CC cord-286305-2bwlxlfo 82 35 virology virology NN cord-286305-2bwlxlfo 82 36 studies study NNS cord-286305-2bwlxlfo 82 37 , , , cord-286305-2bwlxlfo 82 38 which which WDT cord-286305-2bwlxlfo 82 39 are be VBP cord-286305-2bwlxlfo 82 40 outside outside IN cord-286305-2bwlxlfo 82 41 the the DT cord-286305-2bwlxlfo 82 42 analysis analysis NN cord-286305-2bwlxlfo 82 43 of of IN cord-286305-2bwlxlfo 82 44 the the DT cord-286305-2bwlxlfo 82 45 present present JJ cord-286305-2bwlxlfo 82 46 paper paper NN cord-286305-2bwlxlfo 82 47 . . . cord-286305-2bwlxlfo 83 1 It -PRON- PRP cord-286305-2bwlxlfo 83 2 is be VBZ cord-286305-2bwlxlfo 83 3 important important JJ cord-286305-2bwlxlfo 83 4 to to TO cord-286305-2bwlxlfo 83 5 stress stress VB cord-286305-2bwlxlfo 83 6 that that IN cord-286305-2bwlxlfo 83 7 the the DT cord-286305-2bwlxlfo 83 8 mathematical mathematical JJ cord-286305-2bwlxlfo 83 9 predictions prediction NNS cord-286305-2bwlxlfo 83 10 reported report VBN cord-286305-2bwlxlfo 83 11 in in IN cord-286305-2bwlxlfo 83 12 this this DT cord-286305-2bwlxlfo 83 13 paper paper NN cord-286305-2bwlxlfo 83 14 provide provide VBP cord-286305-2bwlxlfo 83 15 an an DT cord-286305-2bwlxlfo 83 16 indication indication NN cord-286305-2bwlxlfo 83 17 of of IN cord-286305-2bwlxlfo 83 18 the the DT cord-286305-2bwlxlfo 83 19 approximate approximate JJ cord-286305-2bwlxlfo 83 20 period period NN cord-286305-2bwlxlfo 83 21 when when WRB cord-286305-2bwlxlfo 83 22 a a DT cord-286305-2bwlxlfo 83 23 substantial substantial JJ cord-286305-2bwlxlfo 83 24 reduction reduction NN cord-286305-2bwlxlfo 83 25 of of IN cord-286305-2bwlxlfo 83 26 positive positive JJ cord-286305-2bwlxlfo 83 27 cases case NNS cord-286305-2bwlxlfo 83 28 and and CC cord-286305-2bwlxlfo 83 29 fatalities fatality NNS cord-286305-2bwlxlfo 83 30 is be VBZ cord-286305-2bwlxlfo 83 31 expected expect VBN cord-286305-2bwlxlfo 83 32 and and CC cord-286305-2bwlxlfo 83 33 not not RB cord-286305-2bwlxlfo 83 34 the the DT cord-286305-2bwlxlfo 83 35 end end NN cord-286305-2bwlxlfo 83 36 of of IN cord-286305-2bwlxlfo 83 37 the the DT cord-286305-2bwlxlfo 83 38 extremely extremely RB cord-286305-2bwlxlfo 83 39 important important JJ cord-286305-2bwlxlfo 83 40 mitigation mitigation NN cord-286305-2bwlxlfo 83 41 measures measure NNS cord-286305-2bwlxlfo 83 42 . . . cord-286305-2bwlxlfo 84 1 Substantial substantial JJ cord-286305-2bwlxlfo 84 2 undocumented undocumented JJ cord-286305-2bwlxlfo 84 3 infection infection NN cord-286305-2bwlxlfo 84 4 facilitates facilitate VBZ cord-286305-2bwlxlfo 84 5 the the DT cord-286305-2bwlxlfo 84 6 rapid rapid JJ cord-286305-2bwlxlfo 84 7 dissemination dissemination NN cord-286305-2bwlxlfo 84 8 of of IN cord-286305-2bwlxlfo 84 9 novel novel JJ cord-286305-2bwlxlfo 84 10 coronavirus coronavirus NN cord-286305-2bwlxlfo 84 11 ( ( -LRB- cord-286305-2bwlxlfo 84 12 SARS SARS NNP cord-286305-2bwlxlfo 84 13 - - HYPH cord-286305-2bwlxlfo 84 14 CoV2 CoV2 NNP cord-286305-2bwlxlfo 84 15 ) ) -RRB- cord-286305-2bwlxlfo 84 16 Prediction prediction NN cord-286305-2bwlxlfo 84 17 of of IN cord-286305-2bwlxlfo 84 18 the the DT cord-286305-2bwlxlfo 84 19 time time NN cord-286305-2bwlxlfo 84 20 evolution evolution NN cord-286305-2bwlxlfo 84 21 of of IN cord-286305-2bwlxlfo 84 22 the the DT cord-286305-2bwlxlfo 84 23 Covid-19 Covid-19 NNP cord-286305-2bwlxlfo 84 24 Pandemic Pandemic NNP cord-286305-2bwlxlfo 84 25 in in IN cord-286305-2bwlxlfo 84 26 Italy Italy NNP cord-286305-2bwlxlfo 84 27 by by IN cord-286305-2bwlxlfo 84 28 a a DT cord-286305-2bwlxlfo 84 29 Gauss Gauss NNP cord-286305-2bwlxlfo 84 30 Error error NN cord-286305-2bwlxlfo 84 31 Function Function NNP cord-286305-2bwlxlfo 84 32 and and CC cord-286305-2bwlxlfo 84 33 Monte Monte NNP cord-286305-2bwlxlfo 84 34 Carlo Carlo NNP cord-286305-2bwlxlfo 84 35 simulations simulation NNS cord-286305-2bwlxlfo 84 36 Incubation Incubation NNP cord-286305-2bwlxlfo 84 37 periods period NNS cord-286305-2bwlxlfo 84 38 of of IN cord-286305-2bwlxlfo 84 39 acute acute JJ cord-286305-2bwlxlfo 84 40 respiratory respiratory JJ cord-286305-2bwlxlfo 84 41 viral viral JJ cord-286305-2bwlxlfo 84 42 infections infection NNS cord-286305-2bwlxlfo 84 43 : : : cord-286305-2bwlxlfo 84 44 a a DT cord-286305-2bwlxlfo 84 45 systematic systematic JJ cord-286305-2bwlxlfo 84 46 review review NN cord-286305-2bwlxlfo 84 47 Forecasting Forecasting NNP cord-286305-2bwlxlfo 84 48 COVID-19 covid-19 JJ cord-286305-2bwlxlfo 84 49 impact impact NN cord-286305-2bwlxlfo 84 50 on on IN cord-286305-2bwlxlfo 84 51 hospital hospital NN cord-286305-2bwlxlfo 84 52 bed bed NN cord-286305-2bwlxlfo 84 53 - - HYPH cord-286305-2bwlxlfo 84 54 days day NNS cord-286305-2bwlxlfo 84 55 , , , cord-286305-2bwlxlfo 84 56 ICU ICU NNP cord-286305-2bwlxlfo 84 57 - - HYPH cord-286305-2bwlxlfo 84 58 days day NNS cord-286305-2bwlxlfo 84 59 , , , cord-286305-2bwlxlfo 84 60 ventilator ventilator NN cord-286305-2bwlxlfo 84 61 - - HYPH cord-286305-2bwlxlfo 84 62 days day NNS cord-286305-2bwlxlfo 84 63 and and CC cord-286305-2bwlxlfo 84 64 deaths death NNS cord-286305-2bwlxlfo 84 65 by by IN cord-286305-2bwlxlfo 84 66 US US NNP cord-286305-2bwlxlfo 84 67 state state NN cord-286305-2bwlxlfo 84 68 in in IN cord-286305-2bwlxlfo 84 69 the the DT cord-286305-2bwlxlfo 84 70 next next JJ cord-286305-2bwlxlfo 84 71 4 4 CD cord-286305-2bwlxlfo 84 72 months month NNS cord-286305-2bwlxlfo 84 73 Data Data NNP cord-286305-2bwlxlfo 84 74 Reduction Reduction NNP cord-286305-2bwlxlfo 84 75 and and CC cord-286305-2bwlxlfo 84 76 Error Error NNP cord-286305-2bwlxlfo 84 77 Analysis Analysis NNP cord-286305-2bwlxlfo 84 78 for for IN cord-286305-2bwlxlfo 84 79 the the DT cord-286305-2bwlxlfo 84 80 Physical Physical NNP cord-286305-2bwlxlfo 84 81 Sciences Sciences NNPS cord-286305-2bwlxlfo 84 82 Monte Monte NNP cord-286305-2bwlxlfo 84 83 Carlo Carlo NNP cord-286305-2bwlxlfo 84 84 simulations simulation NNS cord-286305-2bwlxlfo 84 85 of of IN cord-286305-2bwlxlfo 84 86 the the DT cord-286305-2bwlxlfo 84 87 LARES LARES NNP cord-286305-2bwlxlfo 84 88 space space NN cord-286305-2bwlxlfo 84 89 experiment experiment NN cord-286305-2bwlxlfo 84 90 to to TO cord-286305-2bwlxlfo 84 91 test test VB cord-286305-2bwlxlfo 84 92 General General NNP cord-286305-2bwlxlfo 84 93 Relativity Relativity NNP cord-286305-2bwlxlfo 84 94 and and CC cord-286305-2bwlxlfo 84 95 fundamental fundamental JJ cord-286305-2bwlxlfo 84 96 physics physics NN cord-286305-2bwlxlfo 85 1 Acknowledgements acknowledgement NNS cord-286305-2bwlxlfo 86 1 We -PRON- PRP cord-286305-2bwlxlfo 86 2 gratefully gratefully RB cord-286305-2bwlxlfo 86 3 thank thank VBP cord-286305-2bwlxlfo 86 4 Richard Richard NNP cord-286305-2bwlxlfo 86 5 Matzner Matzner NNP cord-286305-2bwlxlfo 86 6 of of IN cord-286305-2bwlxlfo 86 7 the the DT cord-286305-2bwlxlfo 86 8 University University NNP cord-286305-2bwlxlfo 86 9 of of IN cord-286305-2bwlxlfo 86 10 Texas Texas NNP cord-286305-2bwlxlfo 86 11 at at IN cord-286305-2bwlxlfo 86 12 Austin Austin NNP cord-286305-2bwlxlfo 86 13 for for IN cord-286305-2bwlxlfo 86 14 helpful helpful JJ cord-286305-2bwlxlfo 86 15 suggestions suggestion NNS cord-286305-2bwlxlfo 86 16 , , , cord-286305-2bwlxlfo 86 17 Alessandro Alessandro NNP cord-286305-2bwlxlfo 86 18 Paolozzi Paolozzi NNP cord-286305-2bwlxlfo 86 19 , , , cord-286305-2bwlxlfo 86 20 and and CC cord-286305-2bwlxlfo 86 21 Claudio Claudio NNP cord-286305-2bwlxlfo 86 22 Paris Paris NNP cord-286305-2bwlxlfo 86 23 of of IN cord-286305-2bwlxlfo 86 24 Centro Centro NNP cord-286305-2bwlxlfo 86 25 Fermi Fermi NNP cord-286305-2bwlxlfo 86 26 . . . cord-286305-2bwlxlfo 87 1 Open open VB cord-286305-2bwlxlfo 87 2 Access Access NNP cord-286305-2bwlxlfo 88 1 This this DT cord-286305-2bwlxlfo 88 2 article article NN cord-286305-2bwlxlfo 88 3 is be VBZ cord-286305-2bwlxlfo 88 4 licensed license VBN cord-286305-2bwlxlfo 88 5 under under IN cord-286305-2bwlxlfo 88 6 a a DT cord-286305-2bwlxlfo 88 7 Creative Creative NNP cord-286305-2bwlxlfo 88 8 Commons Commons NNP cord-286305-2bwlxlfo 88 9 Attribution Attribution NNP cord-286305-2bwlxlfo 88 10 4.0 4.0 CD cord-286305-2bwlxlfo 88 11 International International NNP cord-286305-2bwlxlfo 88 12 License License NNP cord-286305-2bwlxlfo 88 13 , , , cord-286305-2bwlxlfo 88 14 which which WDT cord-286305-2bwlxlfo 88 15 permits permit VBZ cord-286305-2bwlxlfo 88 16 use use NN cord-286305-2bwlxlfo 88 17 , , , cord-286305-2bwlxlfo 88 18 sharing sharing NN cord-286305-2bwlxlfo 88 19 , , , cord-286305-2bwlxlfo 88 20 adaptation adaptation NN cord-286305-2bwlxlfo 88 21 , , , cord-286305-2bwlxlfo 88 22 distribution distribution NN cord-286305-2bwlxlfo 88 23 and and CC cord-286305-2bwlxlfo 88 24 reproduction reproduction NN cord-286305-2bwlxlfo 88 25 in in IN cord-286305-2bwlxlfo 88 26 any any DT cord-286305-2bwlxlfo 88 27 medium medium NN cord-286305-2bwlxlfo 88 28 or or CC cord-286305-2bwlxlfo 88 29 format format NN cord-286305-2bwlxlfo 88 30 , , , cord-286305-2bwlxlfo 88 31 as as RB cord-286305-2bwlxlfo 88 32 long long RB cord-286305-2bwlxlfo 88 33 as as IN cord-286305-2bwlxlfo 88 34 you -PRON- PRP cord-286305-2bwlxlfo 88 35 give give VBP cord-286305-2bwlxlfo 88 36 appropriate appropriate JJ cord-286305-2bwlxlfo 88 37 credit credit NN cord-286305-2bwlxlfo 88 38 to to IN cord-286305-2bwlxlfo 88 39 the the DT cord-286305-2bwlxlfo 88 40 original original JJ cord-286305-2bwlxlfo 88 41 author(s author(s NNP cord-286305-2bwlxlfo 88 42 ) ) -RRB- cord-286305-2bwlxlfo 88 43 and and CC cord-286305-2bwlxlfo 88 44 the the DT cord-286305-2bwlxlfo 88 45 source source NN cord-286305-2bwlxlfo 88 46 , , , cord-286305-2bwlxlfo 88 47 provide provide VB cord-286305-2bwlxlfo 88 48 a a DT cord-286305-2bwlxlfo 88 49 link link NN cord-286305-2bwlxlfo 88 50 to to IN cord-286305-2bwlxlfo 88 51 the the DT cord-286305-2bwlxlfo 88 52 Creative Creative NNP cord-286305-2bwlxlfo 88 53 Commons Commons NNP cord-286305-2bwlxlfo 88 54 licence licence NN cord-286305-2bwlxlfo 88 55 , , , cord-286305-2bwlxlfo 88 56 and and CC cord-286305-2bwlxlfo 88 57 indicate indicate VBP cord-286305-2bwlxlfo 88 58 if if IN cord-286305-2bwlxlfo 88 59 changes change NNS cord-286305-2bwlxlfo 88 60 were be VBD cord-286305-2bwlxlfo 88 61 made make VBN cord-286305-2bwlxlfo 88 62 . . . cord-286305-2bwlxlfo 89 1 The the DT cord-286305-2bwlxlfo 89 2 images image NNS cord-286305-2bwlxlfo 89 3 or or CC cord-286305-2bwlxlfo 89 4 other other JJ cord-286305-2bwlxlfo 89 5 third third JJ cord-286305-2bwlxlfo 89 6 party party NN cord-286305-2bwlxlfo 89 7 material material NN cord-286305-2bwlxlfo 89 8 in in IN cord-286305-2bwlxlfo 89 9 this this DT cord-286305-2bwlxlfo 89 10 article article NN cord-286305-2bwlxlfo 89 11 are be VBP cord-286305-2bwlxlfo 89 12 included include VBN cord-286305-2bwlxlfo 89 13 in in IN cord-286305-2bwlxlfo 89 14 the the DT cord-286305-2bwlxlfo 89 15 article article NN cord-286305-2bwlxlfo 89 16 's 's POS cord-286305-2bwlxlfo 89 17 Creative Creative NNP cord-286305-2bwlxlfo 89 18 Commons Commons NNP cord-286305-2bwlxlfo 89 19 licence licence NN cord-286305-2bwlxlfo 89 20 , , , cord-286305-2bwlxlfo 89 21 unless unless IN cord-286305-2bwlxlfo 89 22 indicated indicate VBN 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holder holder NN cord-286305-2bwlxlfo 90 40 . . . cord-286305-2bwlxlfo 91 1 To to TO cord-286305-2bwlxlfo 91 2 view view VB cord-286305-2bwlxlfo 91 3 a a DT cord-286305-2bwlxlfo 91 4 copy copy NN cord-286305-2bwlxlfo 91 5 of of IN cord-286305-2bwlxlfo 91 6 this this DT cord-286305-2bwlxlfo 91 7 licence licence NN cord-286305-2bwlxlfo 91 8 , , , cord-286305-2bwlxlfo 91 9 visit visit VB cord-286305-2bwlxlfo 91 10 http://creativecommons.org/licenses/by/4.0/. http://creativecommons.org/licenses/by/4.0/. NNP