id	sid	tid	token	lemma	pos
ajst-31897	1	1	academic	academic	ADJ
ajst-31897	1	2	journal	journal	NOUN
ajst-31897	1	3	of	of	ADP
ajst-31897	1	4	science	science	NOUN
ajst-31897	1	5	and	and	CCONJ
ajst-31897	1	6	technology	technology	NOUN
ajst-31897	1	7	issn	issn	NOUN
ajst-31897	1	8	:	:	PUNCT
ajst-31897	1	9	2771	2771	NUM
ajst-31897	1	10	-	-	SYM
ajst-31897	1	11	3032	3032	NUM
ajst-31897	1	12	|	|	NOUN
ajst-31897	1	13	vol	vol	NOUN
ajst-31897	1	14	.	.	PROPN
ajst-31897	2	1	16	16	NUM
ajst-31897	2	2	,	,	PUNCT
ajst-31897	2	3	no	no	INTJ
ajst-31897	2	4	.	.	NOUN
ajst-31897	2	5	3	3	NUM
ajst-31897	2	6	,	,	PUNCT
ajst-31897	2	7	2025	2025	NUM
ajst-31897	2	8	78	78	NUM
ajst-31897	2	9	global	global	ADJ
ajst-31897	2	10	sensitivity	sensitivity	NOUN
ajst-31897	2	11	analysis	analysis	NOUN
ajst-31897	2	12	of	of	ADP
ajst-31897	2	13	structural	structural	ADJ
ajst-31897	2	14	random	random	ADJ
ajst-31897	2	15	response	response	NOUN
ajst-31897	2	16	based	base	VERB
ajst-31897	2	17	on	on	ADP
ajst-31897	2	18	polynomial	polynomial	ADJ
ajst-31897	2	19	chaotic	chaotic	ADJ
ajst-31897	2	20	expansion	expansion	NOUN
ajst-31897	2	21	qi	qi	PROPN
ajst-31897	2	22	cheng1	cheng1	PROPN
ajst-31897	2	23	,	,	PUNCT
ajst-31897	2	24	*	*	PUNCT
ajst-31897	2	25	,	,	PUNCT
ajst-31897	2	26	zhen	zhen	PROPN
ajst-31897	2	27	cheng1	cheng1	PROPN
ajst-31897	3	1	1school	1school	NUM
ajst-31897	3	2	of	of	ADP
ajst-31897	3	3	urban	urban	ADJ
ajst-31897	3	4	construction	construction	NOUN
ajst-31897	4	1	,	,	PUNCT
ajst-31897	4	2	yangtze	yangtze	PROPN
ajst-31897	4	3	university	university	PROPN
ajst-31897	4	4	,	,	PUNCT
ajst-31897	4	5	jingzhou	jingzhou	PROPN
ajst-31897	4	6	434023	434023	NUM
ajst-31897	4	7	,	,	PUNCT
ajst-31897	4	8	china	china	PROPN
ajst-31897	4	9	*	*	PUNCT
ajst-31897	4	10	corresponding	correspond	VERB
ajst-31897	4	11	author	author	NOUN
ajst-31897	4	12	abstract	abstract	NOUN
ajst-31897	4	13	:	:	PUNCT
ajst-31897	4	14	with	with	ADP
ajst-31897	4	15	the	the	DET
ajst-31897	4	16	growing	grow	VERB
ajst-31897	4	17	significance	significance	NOUN
ajst-31897	4	18	of	of	ADP
ajst-31897	4	19	stochastic	stochastic	ADJ
ajst-31897	4	20	uncertainties	uncertainty	NOUN
ajst-31897	4	21	in	in	ADP
ajst-31897	4	22	structural	structural	ADJ
ajst-31897	4	23	design	design	NOUN
ajst-31897	4	24	,	,	PUNCT
ajst-31897	4	25	the	the	DET
ajst-31897	4	26	quantification	quantification	NOUN
ajst-31897	4	27	of	of	ADP
ajst-31897	4	28	uncertainty	uncertainty	NOUN
ajst-31897	4	29	and	and	CCONJ
ajst-31897	4	30	sensitivity	sensitivity	NOUN
ajst-31897	4	31	analysis	analysis	NOUN
ajst-31897	4	32	of	of	ADP
ajst-31897	4	33	static	static	ADJ
ajst-31897	4	34	displacement	displacement	ADJ
ajst-31897	4	35	responses	response	NOUN
ajst-31897	4	36	have	have	AUX
ajst-31897	4	37	gained	gain	VERB
ajst-31897	4	38	considerable	considerable	ADJ
ajst-31897	4	39	attention	attention	NOUN
ajst-31897	4	40	.	.	PUNCT
ajst-31897	5	1	this	this	DET
ajst-31897	5	2	study	study	NOUN
ajst-31897	5	3	employs	employ	VERB
ajst-31897	5	4	polynomial	polynomial	ADJ
ajst-31897	5	5	chaos	chaos	NOUN
ajst-31897	5	6	expansion	expansion	NOUN
ajst-31897	5	7	(	(	PUNCT
ajst-31897	5	8	pc	pc	NOUN
ajst-31897	5	9	)	)	PUNCT
ajst-31897	5	10	to	to	PART
ajst-31897	5	11	perform	perform	VERB
ajst-31897	5	12	a	a	DET
ajst-31897	5	13	global	global	ADJ
ajst-31897	5	14	sensitivity	sensitivity	NOUN
ajst-31897	5	15	analysis	analysis	NOUN
ajst-31897	5	16	of	of	ADP
ajst-31897	5	17	the	the	DET
ajst-31897	5	18	tip	tip	NOUN
ajst-31897	5	19	deflection	deflection	NOUN
ajst-31897	5	20	of	of	ADP
ajst-31897	5	21	a	a	DET
ajst-31897	5	22	cantilever	cantilever	NOUN
ajst-31897	5	23	beam	beam	NOUN
ajst-31897	5	24	,	,	PUNCT
ajst-31897	5	25	aiming	aim	VERB
ajst-31897	5	26	to	to	PART
ajst-31897	5	27	identify	identify	VERB
ajst-31897	5	28	the	the	DET
ajst-31897	5	29	random	random	ADJ
ajst-31897	5	30	variable	variable	NOUN
ajst-31897	5	31	that	that	PRON
ajst-31897	5	32	contributes	contribute	VERB
ajst-31897	5	33	most	most	ADV
ajst-31897	5	34	significantly	significantly	ADV
ajst-31897	5	35	to	to	ADP
ajst-31897	5	36	the	the	DET
ajst-31897	5	37	output	output	NOUN
ajst-31897	5	38	variance	variance	NOUN
ajst-31897	5	39	.	.	PUNCT
ajst-31897	6	1	compared	compare	VERB
ajst-31897	6	2	with	with	ADP
ajst-31897	6	3	the	the	DET
ajst-31897	6	4	monte	monte	PROPN
ajst-31897	6	5	carlo	carlo	PROPN
ajst-31897	6	6	simulation	simulation	PROPN
ajst-31897	6	7	approach	approach	NOUN
ajst-31897	6	8	,	,	PUNCT
ajst-31897	6	9	the	the	DET
ajst-31897	6	10	pc	pc	NOUN
ajst-31897	6	11	method	method	NOUN
ajst-31897	6	12	demonstrates	demonstrate	VERB
ajst-31897	6	13	superior	superior	ADJ
ajst-31897	6	14	computational	computational	ADJ
ajst-31897	6	15	accuracy	accuracy	NOUN
ajst-31897	6	16	and	and	CCONJ
ajst-31897	6	17	efficiency	efficiency	NOUN
ajst-31897	6	18	.	.	PUNCT
ajst-31897	7	1	the	the	DET
ajst-31897	7	2	results	result	NOUN
ajst-31897	7	3	indicate	indicate	VERB
ajst-31897	7	4	that	that	DET
ajst-31897	7	5	pc	pc	NOUN
ajst-31897	7	6	not	not	PART
ajst-31897	7	7	only	only	ADV
ajst-31897	7	8	accurately	accurately	ADV
ajst-31897	7	9	captures	capture	VERB
ajst-31897	7	10	the	the	DET
ajst-31897	7	11	sensitivity	sensitivity	NOUN
ajst-31897	7	12	ranking	ranking	NOUN
ajst-31897	7	13	of	of	ADP
ajst-31897	7	14	the	the	DET
ajst-31897	7	15	variables	variable	NOUN
ajst-31897	7	16	but	but	CCONJ
ajst-31897	7	17	also	also	ADV
ajst-31897	7	18	substantially	substantially	ADV
ajst-31897	7	19	reduces	reduce	VERB
ajst-31897	7	20	computational	computational	ADJ
ajst-31897	7	21	cost	cost	NOUN
ajst-31897	7	22	,	,	PUNCT
ajst-31897	7	23	thus	thus	ADV
ajst-31897	7	24	offering	offer	VERB
ajst-31897	7	25	an	an	DET
ajst-31897	7	26	effective	effective	ADJ
ajst-31897	7	27	tool	tool	NOUN
ajst-31897	7	28	for	for	ADP
ajst-31897	7	29	stochastic	stochastic	ADJ
ajst-31897	7	30	analysis	analysis	NOUN
ajst-31897	7	31	and	and	CCONJ
ajst-31897	7	32	optimization	optimization	NOUN
ajst-31897	7	33	in	in	ADP
ajst-31897	7	34	structural	structural	ADJ
ajst-31897	7	35	engineering	engineering	NOUN
ajst-31897	7	36	.	.	PUNCT
ajst-31897	8	1	keywords	keyword	NOUN
ajst-31897	8	2	:	:	PUNCT
ajst-31897	8	3	polynomial	polynomial	ADJ
ajst-31897	8	4	chaos	chaos	NOUN
ajst-31897	8	5	expansion	expansion	NOUN
ajst-31897	8	6	,	,	PUNCT
ajst-31897	8	7	global	global	ADJ
ajst-31897	8	8	sensitivity	sensitivity	NOUN
ajst-31897	8	9	analysis	analysis	NOUN
ajst-31897	8	10	,	,	PUNCT
ajst-31897	8	11	sobol	sobol	NOUN
ajst-31897	8	12	.	.	PUNCT
ajst-31897	9	1	1	1	X
ajst-31897	9	2	.	.	X
ajst-31897	9	3	introduction	introduction	NOUN
ajst-31897	9	4	with	with	ADP
ajst-31897	9	5	the	the	DET
ajst-31897	9	6	continuous	continuous	ADJ
ajst-31897	9	7	advancement	advancement	NOUN
ajst-31897	9	8	of	of	ADP
ajst-31897	9	9	technology	technology	NOUN
ajst-31897	9	10	and	and	CCONJ
ajst-31897	9	11	the	the	DET
ajst-31897	9	12	rapid	rapid	ADJ
ajst-31897	9	13	economic	economic	ADJ
ajst-31897	9	14	development	development	NOUN
ajst-31897	9	15	,	,	PUNCT
ajst-31897	9	16	the	the	DET
ajst-31897	9	17	safety	safety	NOUN
ajst-31897	9	18	of	of	ADP
ajst-31897	9	19	static	static	ADJ
ajst-31897	9	20	displacement	displacement	NOUN
ajst-31897	9	21	in	in	ADP
ajst-31897	9	22	building	building	NOUN
ajst-31897	9	23	structures	structure	NOUN
ajst-31897	9	24	has	have	AUX
ajst-31897	9	25	garnered	garner	VERB
ajst-31897	9	26	increasing	increase	VERB
ajst-31897	9	27	attention	attention	NOUN
ajst-31897	9	28	.	.	PUNCT
ajst-31897	10	1	in	in	ADP
ajst-31897	10	2	practical	practical	ADJ
ajst-31897	10	3	construction	construction	NOUN
ajst-31897	10	4	and	and	CCONJ
ajst-31897	10	5	engineering	engineering	NOUN
ajst-31897	10	6	practice	practice	NOUN
ajst-31897	10	7	,	,	PUNCT
ajst-31897	10	8	inherent	inherent	ADJ
ajst-31897	10	9	random	random	ADJ
ajst-31897	10	10	variations	variation	NOUN
ajst-31897	10	11	in	in	ADP
ajst-31897	10	12	material	material	NOUN
ajst-31897	10	13	properties	property	NOUN
ajst-31897	10	14	,	,	PUNCT
ajst-31897	10	15	geometric	geometric	ADJ
ajst-31897	10	16	dimensions	dimension	NOUN
ajst-31897	10	17	,	,	PUNCT
ajst-31897	10	18	and	and	CCONJ
ajst-31897	10	19	boundary	boundary	ADJ
ajst-31897	10	20	conditions	condition	NOUN
ajst-31897	10	21	often	often	ADV
ajst-31897	10	22	lead	lead	VERB
ajst-31897	10	23	to	to	ADP
ajst-31897	10	24	significant	significant	ADJ
ajst-31897	10	25	discrepancies	discrepancy	NOUN
ajst-31897	10	26	between	between	ADP
ajst-31897	10	27	the	the	DET
ajst-31897	10	28	actual	actual	ADJ
ajst-31897	10	29	structural	structural	ADJ
ajst-31897	10	30	response	response	NOUN
ajst-31897	10	31	and	and	CCONJ
ajst-31897	10	32	the	the	DET
ajst-31897	10	33	design	design	NOUN
ajst-31897	10	34	predictions	prediction	NOUN
ajst-31897	10	35	.	.	PUNCT
ajst-31897	11	1	therefore	therefore	ADV
ajst-31897	11	2	,	,	PUNCT
ajst-31897	11	3	systematically	systematically	ADV
ajst-31897	11	4	analyzing	analyze	VERB
ajst-31897	11	5	the	the	DET
ajst-31897	11	6	static	static	ADJ
ajst-31897	11	7	displacement	displacement	ADJ
ajst-31897	11	8	response	response	NOUN
ajst-31897	11	9	while	while	SCONJ
ajst-31897	11	10	accounting	account	VERB
ajst-31897	11	11	for	for	ADP
ajst-31897	11	12	the	the	DET
ajst-31897	11	13	randomness	randomness	NOUN
ajst-31897	11	14	of	of	ADP
ajst-31897	11	15	structural	structural	ADJ
ajst-31897	11	16	parameters	parameter	NOUN
ajst-31897	11	17	holds	hold	VERB
ajst-31897	11	18	substantial	substantial	ADJ
ajst-31897	11	19	theoretical	theoretical	ADJ
ajst-31897	11	20	and	and	CCONJ
ajst-31897	11	21	practical	practical	ADJ
ajst-31897	11	22	significance	significance	NOUN
ajst-31897	11	23	for	for	ADP
ajst-31897	11	24	enhancing	enhance	VERB
ajst-31897	11	25	structural	structural	ADJ
ajst-31897	11	26	reliability	reliability	NOUN
ajst-31897	11	27	and	and	CCONJ
ajst-31897	11	28	facilitating	facilitate	VERB
ajst-31897	11	29	optimized	optimize	VERB
ajst-31897	11	30	design	design	NOUN
ajst-31897	11	31	.	.	PUNCT
ajst-31897	12	1	in	in	ADP
ajst-31897	12	2	reality	reality	NOUN
ajst-31897	12	3	,	,	PUNCT
ajst-31897	12	4	uncertainty	uncertainty	NOUN
ajst-31897	12	5	is	be	AUX
ajst-31897	12	6	widespread	widespread	ADJ
ajst-31897	12	7	in	in	ADP
ajst-31897	12	8	building	build	VERB
ajst-31897	12	9	structures	structure	NOUN
ajst-31897	12	10	.	.	PUNCT
ajst-31897	13	1	the	the	DET
ajst-31897	13	2	quantification	quantification	NOUN
ajst-31897	13	3	of	of	ADP
ajst-31897	13	4	uncertainty	uncertainty	NOUN
ajst-31897	13	5	and	and	CCONJ
ajst-31897	13	6	parameter	parameter	NOUN
ajst-31897	13	7	sensitivity	sensitivity	NOUN
ajst-31897	13	8	analysis	analysis	NOUN
ajst-31897	13	9	of	of	ADP
ajst-31897	13	10	random	random	ADJ
ajst-31897	13	11	structures	structure	NOUN
ajst-31897	13	12	have	have	AUX
ajst-31897	13	13	always	always	ADV
ajst-31897	13	14	been	be	AUX
ajst-31897	13	15	hot	hot	ADJ
ajst-31897	13	16	research	research	NOUN
ajst-31897	13	17	issues	issue	NOUN
ajst-31897	13	18	.	.	PUNCT
ajst-31897	14	1	parameter	parameter	NOUN
ajst-31897	14	2	sensitivity	sensitivity	NOUN
ajst-31897	14	3	analysis	analysis	NOUN
ajst-31897	14	4	can	can	AUX
ajst-31897	14	5	identify	identify	VERB
ajst-31897	14	6	key	key	ADJ
ajst-31897	14	7	variables	variable	NOUN
ajst-31897	14	8	that	that	PRON
ajst-31897	14	9	have	have	VERB
ajst-31897	14	10	a	a	DET
ajst-31897	14	11	significant	significant	ADJ
ajst-31897	14	12	impact	impact	NOUN
ajst-31897	14	13	on	on	ADP
ajst-31897	14	14	the	the	DET
ajst-31897	14	15	uncertainty	uncertainty	NOUN
ajst-31897	14	16	of	of	ADP
ajst-31897	14	17	structural	structural	ADJ
ajst-31897	14	18	responses	response	NOUN
ajst-31897	14	19	,	,	PUNCT
ajst-31897	14	20	thereby	thereby	ADV
ajst-31897	14	21	effectively	effectively	ADV
ajst-31897	14	22	reducing	reduce	VERB
ajst-31897	14	23	the	the	DET
ajst-31897	14	24	number	number	NOUN
ajst-31897	14	25	of	of	ADP
ajst-31897	14	26	random	random	ADJ
ajst-31897	14	27	variables	variable	NOUN
ajst-31897	14	28	and	and	CCONJ
ajst-31897	14	29	providing	provide	VERB
ajst-31897	14	30	a	a	DET
ajst-31897	14	31	basis	basis	NOUN
ajst-31897	14	32	for	for	ADP
ajst-31897	14	33	structural	structural	ADJ
ajst-31897	14	34	optimization	optimization	NOUN
ajst-31897	14	35	.	.	PUNCT
ajst-31897	15	1	sensitivity	sensitivity	NOUN
ajst-31897	15	2	analysis	analysis	NOUN
ajst-31897	15	3	methods	method	NOUN
ajst-31897	15	4	mainly	mainly	ADV
ajst-31897	15	5	include	include	VERB
ajst-31897	15	6	two	two	NUM
ajst-31897	15	7	categories	category	NOUN
ajst-31897	15	8	:	:	PUNCT
ajst-31897	15	9	local	local	ADJ
ajst-31897	15	10	sensitivity	sensitivity	NOUN
ajst-31897	15	11	and	and	CCONJ
ajst-31897	15	12	global	global	ADJ
ajst-31897	15	13	sensitivity	sensitivity	NOUN
ajst-31897	15	14	.	.	PUNCT
ajst-31897	16	1	local	local	ADJ
ajst-31897	16	2	sensitivity	sensitivity	NOUN
ajst-31897	16	3	can	can	AUX
ajst-31897	16	4	only	only	ADV
ajst-31897	16	5	reflect	reflect	VERB
ajst-31897	16	6	the	the	DET
ajst-31897	16	7	influence	influence	NOUN
ajst-31897	16	8	of	of	ADP
ajst-31897	16	9	the	the	DET
ajst-31897	16	10	variation	variation	NOUN
ajst-31897	16	11	of	of	ADP
ajst-31897	16	12	parameters	parameter	NOUN
ajst-31897	16	13	within	within	ADP
ajst-31897	16	14	the	the	DET
ajst-31897	16	15	mean	mean	ADJ
ajst-31897	16	16	neighborhood	neighborhood	NOUN
ajst-31897	16	17	on	on	ADP
ajst-31897	16	18	the	the	DET
ajst-31897	16	19	output	output	NOUN
ajst-31897	16	20	,	,	PUNCT
ajst-31897	16	21	and	and	CCONJ
ajst-31897	16	22	its	its	PRON
ajst-31897	16	23	effectiveness	effectiveness	NOUN
ajst-31897	16	24	highly	highly	ADV
ajst-31897	16	25	depends	depend	VERB
ajst-31897	16	26	on	on	ADP
ajst-31897	16	27	the	the	DET
ajst-31897	16	28	linearity	linearity	NOUN
ajst-31897	16	29	of	of	ADP
ajst-31897	16	30	the	the	DET
ajst-31897	16	31	inputoutput	inputoutput	NOUN
ajst-31897	16	32	relationship	relationship	NOUN
ajst-31897	16	33	.	.	PUNCT
ajst-31897	17	1	global	global	ADJ
ajst-31897	17	2	sensitivity	sensitivity	NOUN
ajst-31897	17	3	can	can	AUX
ajst-31897	17	4	evaluate	evaluate	VERB
ajst-31897	17	5	the	the	DET
ajst-31897	17	6	comprehensive	comprehensive	ADJ
ajst-31897	17	7	impact	impact	NOUN
ajst-31897	17	8	of	of	ADP
ajst-31897	17	9	parameter	parameter	NOUN
ajst-31897	17	10	variations	variation	NOUN
ajst-31897	17	11	throughout	throughout	ADP
ajst-31897	17	12	the	the	DET
ajst-31897	17	13	probability	probability	NOUN
ajst-31897	17	14	space	space	NOUN
ajst-31897	17	15	on	on	ADP
ajst-31897	17	16	output	output	NOUN
ajst-31897	17	17	uncertainty	uncertainty	NOUN
ajst-31897	17	18	,	,	PUNCT
ajst-31897	17	19	and	and	CCONJ
ajst-31897	17	20	thus	thus	ADV
ajst-31897	17	21	is	be	AUX
ajst-31897	17	22	widely	widely	ADV
ajst-31897	17	23	applied	apply	VERB
ajst-31897	17	24	in	in	ADP
ajst-31897	17	25	strongly	strongly	ADV
ajst-31897	17	26	nonlinear	nonlinear	ADJ
ajst-31897	17	27	and	and	CCONJ
ajst-31897	17	28	non	non	ADJ
ajst-31897	17	29	-	-	ADJ
ajst-31897	17	30	monotonic	monotonic	ADJ
ajst-31897	17	31	systems	system	NOUN
ajst-31897	17	32	.	.	PUNCT
ajst-31897	18	1	among	among	ADP
ajst-31897	18	2	numerous	numerous	ADJ
ajst-31897	18	3	global	global	ADJ
ajst-31897	18	4	sensitivity	sensitivity	NOUN
ajst-31897	18	5	indicators	indicator	NOUN
ajst-31897	18	6	,	,	PUNCT
ajst-31897	18	7	the	the	DET
ajst-31897	18	8	sobol	sobol	NOUN
ajst-31897	18	9	sensitivity	sensitivity	NOUN
ajst-31897	18	10	indicator	indicator	NOUN
ajst-31897	18	11	based	base	VERB
ajst-31897	18	12	on	on	ADP
ajst-31897	18	13	variance	variance	NOUN
ajst-31897	18	14	decomposition[1	decomposition[1	PROPN
ajst-31897	18	15	]	]	PUNCT
ajst-31897	18	16	has	have	AUX
ajst-31897	18	17	been	be	AUX
ajst-31897	18	18	widely	widely	ADV
ajst-31897	18	19	applied	apply	VERB
ajst-31897	18	20	in	in	ADP
ajst-31897	18	21	various	various	ADJ
ajst-31897	18	22	engineering	engineering	NOUN
ajst-31897	18	23	problems	problem	NOUN
ajst-31897	18	24	due	due	ADJ
ajst-31897	18	25	to	to	ADP
ajst-31897	18	26	its	its	PRON
ajst-31897	18	27	clear	clear	ADJ
ajst-31897	18	28	concept	concept	NOUN
ajst-31897	18	29	,	,	PUNCT
ajst-31897	18	30	intuitive	intuitive	ADJ
ajst-31897	18	31	calculation	calculation	NOUN
ajst-31897	18	32	,	,	PUNCT
ajst-31897	18	33	and	and	CCONJ
ajst-31897	18	34	the	the	DET
ajst-31897	18	35	ability	ability	NOUN
ajst-31897	18	36	to	to	PART
ajst-31897	18	37	quantify	quantify	VERB
ajst-31897	18	38	the	the	DET
ajst-31897	18	39	contribution	contribution	NOUN
ajst-31897	18	40	of	of	ADP
ajst-31897	18	41	each	each	DET
ajst-31897	18	42	input	input	NOUN
ajst-31897	18	43	variable	variable	NOUN
ajst-31897	18	44	to	to	ADP
ajst-31897	18	45	the	the	DET
ajst-31897	18	46	output	output	NOUN
ajst-31897	18	47	variance	variance	NOUN
ajst-31897	18	48	.	.	PUNCT
ajst-31897	19	1	traditionally	traditionally	ADV
ajst-31897	19	2	,	,	PUNCT
ajst-31897	19	3	this	this	DET
ajst-31897	19	4	indicator	indicator	NOUN
ajst-31897	19	5	is	be	AUX
ajst-31897	19	6	often	often	ADV
ajst-31897	19	7	estimated	estimate	VERB
ajst-31897	19	8	using	use	VERB
ajst-31897	19	9	monte	monte	PROPN
ajst-31897	19	10	carlo	carlo	PROPN
ajst-31897	19	11	simulation	simulation	PROPN
ajst-31897	19	12	(	(	PUNCT
ajst-31897	19	13	mcs	mcs	PROPN
ajst-31897	19	14	)	)	PUNCT
ajst-31897	19	15	,	,	PUNCT
ajst-31897	19	16	but	but	CCONJ
ajst-31897	19	17	due	due	ADP
ajst-31897	19	18	to	to	ADP
ajst-31897	19	19	its	its	PRON
ajst-31897	19	20	double	double	ADJ
ajst-31897	19	21	-	-	PUNCT
ajst-31897	19	22	layer	layer	NOUN
ajst-31897	19	23	cyclic	cyclic	NOUN
ajst-31897	19	24	sampling	sampling	NOUN
ajst-31897	19	25	feature	feature	NOUN
ajst-31897	19	26	,	,	PUNCT
ajst-31897	19	27	the	the	DET
ajst-31897	19	28	computational	computational	ADJ
ajst-31897	19	29	cost	cost	NOUN
ajst-31897	19	30	is	be	AUX
ajst-31897	19	31	high	high	ADJ
ajst-31897	19	32	.	.	PUNCT
ajst-31897	20	1	later	later	ADV
ajst-31897	20	2	,	,	PUNCT
ajst-31897	20	3	proxy	proxy	NOUN
ajst-31897	20	4	model	model	NOUN
ajst-31897	20	5	methods	method	NOUN
ajst-31897	20	6	such	such	ADJ
ajst-31897	20	7	as	as	ADP
ajst-31897	20	8	polynomial	polynomial	ADJ
ajst-31897	20	9	chaotic	chaotic	ADJ
ajst-31897	20	10	expansion	expansion	NOUN
ajst-31897	20	11	(	(	PUNCT
ajst-31897	20	12	pc)[2	pc)[2	PROPN
ajst-31897	20	13	]	]	X
ajst-31897	20	14	were	be	AUX
ajst-31897	20	15	proposed	propose	VERB
ajst-31897	20	16	to	to	PART
ajst-31897	20	17	solve	solve	VERB
ajst-31897	20	18	the	the	DET
ajst-31897	20	19	sobol	sobol	NOUN
ajst-31897	20	20	indicator	indicator	NOUN
ajst-31897	20	21	.	.	PUNCT
ajst-31897	21	1	this	this	DET
ajst-31897	21	2	article	article	NOUN
ajst-31897	21	3	mainly	mainly	ADV
ajst-31897	21	4	introduces	introduce	VERB
ajst-31897	21	5	the	the	DET
ajst-31897	21	6	application	application	NOUN
ajst-31897	21	7	of	of	ADP
ajst-31897	21	8	the	the	DET
ajst-31897	21	9	pc	pc	NOUN
ajst-31897	21	10	method	method	NOUN
ajst-31897	21	11	in	in	ADP
ajst-31897	21	12	global	global	ADJ
ajst-31897	21	13	sensitivity	sensitivity	NOUN
ajst-31897	21	14	analysis	analysis	NOUN
ajst-31897	21	15	.	.	PUNCT
ajst-31897	22	1	based	base	VERB
ajst-31897	22	2	on	on	ADP
ajst-31897	22	3	the	the	DET
ajst-31897	22	4	cantilever	cantilever	NOUN
ajst-31897	22	5	beam	beam	NOUN
ajst-31897	22	6	example	example	NOUN
ajst-31897	22	7	,	,	PUNCT
ajst-31897	22	8	this	this	DET
ajst-31897	22	9	paper	paper	NOUN
ajst-31897	22	10	systematically	systematically	ADV
ajst-31897	22	11	analyzes	analyze	VERB
ajst-31897	22	12	the	the	DET
ajst-31897	22	13	ranking	ranking	NOUN
ajst-31897	22	14	of	of	ADP
ajst-31897	22	15	the	the	DET
ajst-31897	22	16	importance	importance	NOUN
ajst-31897	22	17	of	of	ADP
ajst-31897	22	18	each	each	DET
ajst-31897	22	19	random	random	ADJ
ajst-31897	22	20	variable	variable	NOUN
ajst-31897	22	21	on	on	ADP
ajst-31897	22	22	the	the	DET
ajst-31897	22	23	deflection	deflection	NOUN
ajst-31897	22	24	at	at	ADP
ajst-31897	22	25	the	the	DET
ajst-31897	22	26	beam	beam	NOUN
ajst-31897	22	27	end	end	NOUN
ajst-31897	22	28	.	.	PUNCT
ajst-31897	23	1	through	through	ADP
ajst-31897	23	2	comparison	comparison	NOUN
ajst-31897	23	3	with	with	ADP
ajst-31897	23	4	the	the	DET
ajst-31897	23	5	mcs	mcs	PROPN
ajst-31897	23	6	method	method	NOUN
ajst-31897	23	7	,	,	PUNCT
ajst-31897	23	8	it	it	PRON
ajst-31897	23	9	highlights	highlight	VERB
ajst-31897	23	10	the	the	DET
ajst-31897	23	11	significant	significant	ADJ
ajst-31897	23	12	advantages	advantage	NOUN
ajst-31897	23	13	of	of	ADP
ajst-31897	23	14	the	the	DET
ajst-31897	23	15	pc	pc	NOUN
ajst-31897	23	16	method	method	NOUN
ajst-31897	23	17	in	in	ADP
ajst-31897	23	18	terms	term	NOUN
ajst-31897	23	19	of	of	ADP
ajst-31897	23	20	computational	computational	ADJ
ajst-31897	23	21	efficiency	efficiency	NOUN
ajst-31897	23	22	.	.	PUNCT
ajst-31897	24	1	2	2	X
ajst-31897	24	2	.	.	X
ajst-31897	24	3	polynomial	polynomial	ADJ
ajst-31897	24	4	chaos	chaos	NOUN
ajst-31897	24	5	expansion	expansion	NOUN
ajst-31897	24	6	in	in	ADP
ajst-31897	24	7	traditional	traditional	ADJ
ajst-31897	24	8	methods	method	NOUN
ajst-31897	24	9	,	,	PUNCT
ajst-31897	24	10	the	the	DET
ajst-31897	24	11	estimation	estimation	NOUN
ajst-31897	24	12	of	of	ADP
ajst-31897	24	13	sensitivity	sensitivity	NOUN
ajst-31897	24	14	indicators	indicator	NOUN
ajst-31897	24	15	usually	usually	ADV
ajst-31897	24	16	relies	rely	VERB
ajst-31897	24	17	on	on	ADP
ajst-31897	24	18	mcs	mcs	PROPN
ajst-31897	24	19	.	.	PUNCT
ajst-31897	25	1	although	although	SCONJ
ajst-31897	25	2	this	this	DET
ajst-31897	25	3	method	method	NOUN
ajst-31897	25	4	is	be	AUX
ajst-31897	25	5	easy	easy	ADJ
ajst-31897	25	6	to	to	PART
ajst-31897	25	7	implement	implement	VERB
ajst-31897	25	8	,	,	PUNCT
ajst-31897	25	9	in	in	ADP
ajst-31897	25	10	some	some	DET
ajst-31897	25	11	cases	case	NOUN
ajst-31897	25	12	,	,	PUNCT
ajst-31897	25	13	it	it	PRON
ajst-31897	25	14	requires	require	VERB
ajst-31897	25	15	a	a	DET
ajst-31897	25	16	large	large	ADJ
ajst-31897	25	17	number	number	NOUN
ajst-31897	25	18	of	of	ADP
ajst-31897	25	19	model	model	NOUN
ajst-31897	25	20	evaluations	evaluation	NOUN
ajst-31897	25	21	and	and	CCONJ
ajst-31897	25	22	has	have	VERB
ajst-31897	25	23	a	a	DET
ajst-31897	25	24	relatively	relatively	ADV
ajst-31897	25	25	high	high	ADJ
ajst-31897	25	26	computational	computational	ADJ
ajst-31897	25	27	cost	cost	NOUN
ajst-31897	25	28	.	.	PUNCT
ajst-31897	26	1	proxy	proxy	NOUN
ajst-31897	26	2	models	model	NOUN
ajst-31897	26	3	can	can	AUX
ajst-31897	26	4	serve	serve	VERB
ajst-31897	26	5	as	as	ADP
ajst-31897	26	6	an	an	DET
ajst-31897	26	7	effective	effective	ADJ
ajst-31897	26	8	alternative	alternative	NOUN
ajst-31897	26	9	for	for	ADP
ajst-31897	26	10	estimating	estimate	VERB
ajst-31897	26	11	sensitivity	sensitivity	NOUN
ajst-31897	26	12	indicators	indicator	NOUN
ajst-31897	26	13	due	due	ADP
ajst-31897	26	14	to	to	ADP
ajst-31897	26	15	their	their	PRON
ajst-31897	26	16	low	low	ADJ
ajst-31897	26	17	construction	construction	NOUN
ajst-31897	26	18	costs	cost	NOUN
ajst-31897	26	19	,	,	PUNCT
ajst-31897	26	20	high	high	ADJ
ajst-31897	26	21	evaluation	evaluation	NOUN
ajst-31897	26	22	efficiency	efficiency	NOUN
ajst-31897	26	23	,	,	PUNCT
ajst-31897	26	24	and	and	CCONJ
ajst-31897	26	25	often	often	ADV
ajst-31897	26	26	having	have	VERB
ajst-31897	26	27	more	more	ADJ
ajst-31897	26	28	accuracy	accuracy	NOUN
ajst-31897	26	29	advantages	advantage	NOUN
ajst-31897	26	30	than	than	ADP
ajst-31897	26	31	traditional	traditional	ADJ
ajst-31897	26	32	monte	monte	PROPN
ajst-31897	26	33	carlo	carlo	NOUN
ajst-31897	26	34	methods	method	NOUN
ajst-31897	26	35	under	under	ADP
ajst-31897	26	36	small	small	ADJ
ajst-31897	26	37	to	to	PART
ajst-31897	26	38	medium	medium	ADJ
ajst-31897	26	39	sample	sample	NOUN
ajst-31897	26	40	sizes[3	sizes[3	PROPN
ajst-31897	26	41	]	]	PUNCT
ajst-31897	26	42	.	.	PUNCT
ajst-31897	27	1	common	common	ADJ
ajst-31897	27	2	surrogate	surrogate	ADJ
ajst-31897	27	3	models	model	NOUN
ajst-31897	27	4	include	include	VERB
ajst-31897	27	5	linear	linear	ADJ
ajst-31897	27	6	and	and	CCONJ
ajst-31897	27	7	nonlinear	nonlinear	ADJ
ajst-31897	27	8	regression	regression	NOUN
ajst-31897	27	9	models	model	NOUN
ajst-31897	27	10	,	,	PUNCT
ajst-31897	27	11	cubic	cubic	ADJ
ajst-31897	27	12	splines	spline	NOUN
ajst-31897	27	13	,	,	PUNCT
ajst-31897	27	14	artificial	artificial	ADJ
ajst-31897	27	15	neural	neural	ADJ
ajst-31897	27	16	networks	network	NOUN
ajst-31897	27	17	,	,	PUNCT
ajst-31897	27	18	gaussian	gaussian	NOUN
ajst-31897	27	19	processes	process	NOUN
ajst-31897	27	20	,	,	PUNCT
ajst-31897	27	21	and	and	CCONJ
ajst-31897	27	22	orthogonal	orthogonal	ADJ
ajst-31897	27	23	polynomials	polynomial	NOUN
ajst-31897	27	24	,	,	PUNCT
ajst-31897	27	25	etc	etc	X
ajst-31897	27	26	.	.	X
ajst-31897	27	27	among	among	ADP
ajst-31897	27	28	them	they	PRON
ajst-31897	27	29	,	,	PUNCT
ajst-31897	27	30	pc	pc	NOUN
ajst-31897	27	31	is	be	AUX
ajst-31897	27	32	a	a	DET
ajst-31897	27	33	type	type	NOUN
ajst-31897	27	34	of	of	ADP
ajst-31897	27	35	random	random	ADJ
ajst-31897	27	36	variable	variable	ADJ
ajst-31897	27	37	series	series	NOUN
ajst-31897	27	38	expansion	expansion	NOUN
ajst-31897	27	39	method	method	NOUN
ajst-31897	27	40	based	base	VERB
ajst-31897	27	41	on	on	ADP
ajst-31897	27	42	orthogonal	orthogonal	ADJ
ajst-31897	27	43	polynomial	polynomial	ADJ
ajst-31897	27	44	bases	basis	NOUN
ajst-31897	27	45	,	,	PUNCT
ajst-31897	27	46	and	and	CCONJ
ajst-31897	27	47	its	its	PRON
ajst-31897	27	48	polynomial	polynomial	ADJ
ajst-31897	27	49	type	type	NOUN
ajst-31897	27	50	depends	depend	VERB
ajst-31897	27	51	on	on	ADP
ajst-31897	27	52	the	the	DET
ajst-31897	27	53	pre	pre	NOUN
ajst-31897	27	54	-	-	ADJ
ajst-31897	27	55	set	set	ADJ
ajst-31897	27	56	pdf[4	pdf[4	NOUN
ajst-31897	27	57	]	]	PUNCT
ajst-31897	27	58	.	.	PUNCT
ajst-31897	28	1	for	for	ADP
ajst-31897	28	2	instance	instance	NOUN
ajst-31897	28	3	,	,	PUNCT
ajst-31897	28	4	hermite	hermite	ADJ
ajst-31897	28	5	polynomials	polynomial	NOUN
ajst-31897	28	6	are	be	AUX
ajst-31897	28	7	often	often	ADV
ajst-31897	28	8	used	use	VERB
ajst-31897	28	9	to	to	PART
ajst-31897	28	10	represent	represent	VERB
ajst-31897	28	11	normal	normal	ADJ
ajst-31897	28	12	random	random	ADJ
ajst-31897	28	13	variables	variable	NOUN
ajst-31897	28	14	.	.	PUNCT
ajst-31897	29	1	in	in	ADP
ajst-31897	29	2	the	the	DET
ajst-31897	29	3	global	global	ADJ
ajst-31897	29	4	sensitivity	sensitivity	NOUN
ajst-31897	29	5	analysis	analysis	NOUN
ajst-31897	29	6	of	of	ADP
ajst-31897	29	7	scalar	scalar	ADJ
ajst-31897	29	8	output	output	NOUN
ajst-31897	29	9	,	,	PUNCT
ajst-31897	29	10	an	an	DET
ajst-31897	29	11	important	important	ADJ
ajst-31897	29	12	advantage	advantage	NOUN
ajst-31897	29	13	of	of	ADP
ajst-31897	29	14	pc	pc	NOUN
ajst-31897	29	15	lies	lie	NOUN
ajst-31897	29	16	in	in	ADP
ajst-31897	29	17	the	the	DET
ajst-31897	29	18	fact	fact	NOUN
ajst-31897	29	19	that	that	SCONJ
ajst-31897	29	20	the	the	DET
ajst-31897	29	21	sobol	sobol	NOUN
ajst-31897	29	22	exponent	exponent	NOUN
ajst-31897	29	23	can	can	AUX
ajst-31897	29	24	be	be	AUX
ajst-31897	29	25	directly	directly	ADV
ajst-31897	29	26	derived	derive	VERB
ajst-31897	29	27	from	from	ADP
ajst-31897	29	28	its	its	PRON
ajst-31897	29	29	coefficients	coefficient	NOUN
ajst-31897	29	30	,	,	PUNCT
ajst-31897	29	31	a	a	DET
ajst-31897	29	32	property	property	NOUN
ajst-31897	29	33	proposed	propose	VERB
ajst-31897	29	34	and	and	CCONJ
ajst-31897	29	35	refined	refine	VERB
ajst-31897	29	36	by	by	ADP
ajst-31897	29	37	sudret[2	sudret[2	PROPN
ajst-31897	29	38	]	]	PUNCT
ajst-31897	29	39	.	.	PUNCT
ajst-31897	30	1	the	the	DET
ajst-31897	30	2	pc	pc	NOUN
ajst-31897	30	3	decomposition	decomposition	NOUN
ajst-31897	30	4	form	form	NOUN
ajst-31897	30	5	of	of	ADP
ajst-31897	30	6	the	the	DET
ajst-31897	30	7	random	random	ADJ
ajst-31897	30	8	variable	variable	NOUN
ajst-31897	30	9	y	y	PROPN
ajst-31897	30	10	is	be	AUX
ajst-31897	30	11	as	as	SCONJ
ajst-31897	30	12	follows	follow	VERB
ajst-31897	30	13	:	:	PUNCT
ajst-31897	30	14	0	0	PUNCT
ajst-31897	30	15	(	(	PUNCT
ajst-31897	30	16	)	)	PUNCT
ajst-31897	30	17	(	(	PUNCT
ajst-31897	30	18	)	)	PUNCT
ajst-31897	30	19	j	j	PROPN
ajst-31897	31	1	j	j	PROPN
ajst-31897	31	2	j	j	PROPN
ajst-31897	31	3	y	y	PROPN
ajst-31897	31	4	x	x	PROPN
ajst-31897	31	5	x	x	PROPN
ajst-31897	31	6			PROPN
ajst-31897	32	1			VERB
ajst-31897	32	2			PRON
ajst-31897	32	3			NUM
ajst-31897	32	4			X
ajst-31897	32	5	(	(	PUNCT
ajst-31897	32	6	1	1	X
ajst-31897	32	7	)	)	PUNCT
ajst-31897	32	8	where	where	SCONJ
ajst-31897	32	9	j	j	PROPN
ajst-31897	32	10	represents	represent	VERB
ajst-31897	32	11	the	the	DET
ajst-31897	32	12	expanded	expand	VERB
ajst-31897	32	13	covariance	covariance	NOUN
ajst-31897	32	14	,	,	PUNCT
ajst-31897	32	15	j	j	PROPN
ajst-31897	32	16	is	be	AUX
ajst-31897	32	17	the	the	DET
ajst-31897	32	18	hermite	hermite	ADJ
ajst-31897	32	19	polynomial	polynomial	NOUN
ajst-31897	32	20	,	,	PUNCT
ajst-31897	32	21	and	and	CCONJ
ajst-31897	32	22	1	1	NUM
ajst-31897	32	23	(	(	PUNCT
ajst-31897	32	24	,	,	PUNCT
ajst-31897	32	25	,	,	PUNCT
ajst-31897	32	26	)	)	PUNCT
ajst-31897	32	27	nx	nx	NOUN
ajst-31897	33	1	x	x	SYM
ajst-31897	33	2	x	x	X
ajst-31897	33	3			PUNCT
ajst-31897	33	4	is	be	AUX
ajst-31897	33	5	an	an	DET
ajst-31897	33	6	independent	independent	ADJ
ajst-31897	33	7	standard	standard	ADJ
ajst-31897	33	8	normal	normal	ADJ
ajst-31897	33	9	distribution	distribution	NOUN
ajst-31897	33	10	random	random	ADJ
ajst-31897	33	11	variable	variable	NOUN
ajst-31897	33	12	.	.	PUNCT
ajst-31897	34	1	the	the	DET
ajst-31897	34	2	number	number	NOUN
ajst-31897	34	3	of	of	ADP
ajst-31897	34	4	terms	term	NOUN
ajst-31897	34	5	for	for	ADP
ajst-31897	34	6	polynomial	polynomial	ADJ
ajst-31897	34	7	chaos	chaos	NOUN
ajst-31897	34	8	expansion	expansion	NOUN
ajst-31897	34	9	varies	vary	VERB
ajst-31897	34	10	with	with	ADP
ajst-31897	34	11	the	the	DET
ajst-31897	34	12	specific	specific	ADJ
ajst-31897	34	13	problem	problem	NOUN
ajst-31897	34	14	.	.	PUNCT
ajst-31897	35	1	if	if	SCONJ
ajst-31897	35	2	the	the	DET
ajst-31897	35	3	order	order	NOUN
ajst-31897	35	4	of	of	ADP
ajst-31897	35	5	the	the	DET
ajst-31897	35	6	79	79	NUM
ajst-31897	35	7	polynomial	polynomial	NOUN
ajst-31897	35	8	is	be	AUX
ajst-31897	35	9	set	set	VERB
ajst-31897	35	10	to	to	ADP
ajst-31897	35	11	m	m	PROPN
ajst-31897	35	12	and	and	CCONJ
ajst-31897	35	13	the	the	DET
ajst-31897	35	14	number	number	NOUN
ajst-31897	35	15	of	of	ADP
ajst-31897	35	16	input	input	NOUN
ajst-31897	35	17	variables	variable	NOUN
ajst-31897	35	18	is	be	AUX
ajst-31897	35	19	n	n	CCONJ
ajst-31897	35	20	,	,	PUNCT
ajst-31897	35	21	then	then	ADV
ajst-31897	35	22	the	the	DET
ajst-31897	35	23	total	total	ADJ
ajst-31897	35	24	number	number	NOUN
ajst-31897	35	25	p+1	p+1	NOUN
ajst-31897	35	26	of	of	ADP
ajst-31897	35	27	all	all	DET
ajst-31897	35	28	terms	term	NOUN
ajst-31897	35	29	in	in	ADP
ajst-31897	35	30	the	the	DET
ajst-31897	35	31	expansion	expansion	NOUN
ajst-31897	35	32	that	that	PRON
ajst-31897	35	33	are	be	AUX
ajst-31897	35	34	not	not	PART
ajst-31897	35	35	higher	high	ADJ
ajst-31897	35	36	than	than	ADP
ajst-31897	35	37	the	the	DET
ajst-31897	35	38	order	order	NOUN
ajst-31897	35	39	m	m	VERB
ajst-31897	35	40	is	be	AUX
ajst-31897	35	41	determined	determine	VERB
ajst-31897	35	42	by	by	ADP
ajst-31897	35	43	the	the	DET
ajst-31897	35	44	following	follow	VERB
ajst-31897	35	45	formula	formula	NOUN
ajst-31897	35	46	:	:	PUNCT
ajst-31897	35	47	(	(	PUNCT
ajst-31897	35	48	)	)	PUNCT
ajst-31897	35	49	!	!	PUNCT
ajst-31897	36	1	1	1	X
ajst-31897	36	2	!	!	PUNCT
ajst-31897	36	3	!	!	PUNCT
ajst-31897	37	1	m	m	VERB
ajst-31897	38	1	n	n	PRON
ajst-31897	38	2	p	p	PROPN
ajst-31897	38	3	m	m	PROPN
ajst-31897	38	4	n	n	PROPN
ajst-31897	38	5			ADV
ajst-31897	38	6			PUNCT
ajst-31897	38	7			PROPN
ajst-31897	38	8	(	(	PUNCT
ajst-31897	38	9	2	2	NUM
ajst-31897	38	10	)	)	PUNCT
ajst-31897	38	11	even	even	ADV
ajst-31897	38	12	if	if	SCONJ
ajst-31897	38	13	the	the	DET
ajst-31897	38	14	input	input	NOUN
ajst-31897	38	15	variables	variable	NOUN
ajst-31897	38	16	do	do	AUX
ajst-31897	38	17	not	not	PART
ajst-31897	38	18	follow	follow	VERB
ajst-31897	38	19	a	a	DET
ajst-31897	38	20	normal	normal	ADJ
ajst-31897	38	21	distribution	distribution	NOUN
ajst-31897	38	22	,	,	PUNCT
ajst-31897	38	23	the	the	DET
ajst-31897	38	24	polynomial	polynomial	ADJ
ajst-31897	38	25	chaotic	chaotic	ADJ
ajst-31897	38	26	expansion	expansion	NOUN
ajst-31897	38	27	of	of	ADP
ajst-31897	38	28	the	the	DET
ajst-31897	38	29	output	output	NOUN
ajst-31897	38	30	variable	variable	NOUN
ajst-31897	38	31	y	y	PROPN
ajst-31897	38	32	can	can	AUX
ajst-31897	38	33	still	still	ADV
ajst-31897	38	34	be	be	AUX
ajst-31897	38	35	constructed	construct	VERB
ajst-31897	38	36	using	use	VERB
ajst-31897	38	37	hermite	hermite	ADJ
ajst-31897	38	38	polynomials	polynomial	NOUN
ajst-31897	38	39	.	.	PUNCT
ajst-31897	39	1	in	in	ADP
ajst-31897	39	2	such	such	ADJ
ajst-31897	39	3	cases	case	NOUN
ajst-31897	39	4	,	,	PUNCT
ajst-31897	39	5	the	the	DET
ajst-31897	39	6	method	method	NOUN
ajst-31897	39	7	of	of	ADP
ajst-31897	39	8	series	series	NOUN
ajst-31897	39	9	expansion	expansion	NOUN
ajst-31897	39	10	of	of	ADP
ajst-31897	39	11	random	random	ADJ
ajst-31897	39	12	variables	variable	NOUN
ajst-31897	39	13	based	base	VERB
ajst-31897	39	14	on	on	ADP
ajst-31897	39	15	orthogonal	orthogonal	ADJ
ajst-31897	39	16	polynomials	polynomial	NOUN
ajst-31897	39	17	corresponding	correspond	VERB
ajst-31897	39	18	to	to	ADP
ajst-31897	39	19	the	the	DET
ajst-31897	39	20	input	input	NOUN
ajst-31897	39	21	variable	variable	ADJ
ajst-31897	39	22	pdf	pdf	NOUN
ajst-31897	39	23	is	be	AUX
ajst-31897	39	24	called	call	VERB
ajst-31897	39	25	generalized	generalized	ADJ
ajst-31897	39	26	polynomial	polynomial	ADJ
ajst-31897	39	27	chaos[5	chaos[5	PROPN
ajst-31897	39	28	]	]	PUNCT
ajst-31897	39	29	.	.	PUNCT
ajst-31897	40	1	the	the	DET
ajst-31897	40	2	most	most	ADV
ajst-31897	40	3	significant	significant	ADJ
ajst-31897	40	4	advantage	advantage	NOUN
ajst-31897	40	5	of	of	ADP
ajst-31897	40	6	the	the	DET
ajst-31897	40	7	pc	pc	NOUN
ajst-31897	40	8	method	method	NOUN
ajst-31897	40	9	lies	lie	VERB
ajst-31897	40	10	in	in	ADP
ajst-31897	40	11	its	its	PRON
ajst-31897	40	12	rigorous	rigorous	ADJ
ajst-31897	40	13	mathematical	mathematical	ADJ
ajst-31897	40	14	foundation	foundation	NOUN
ajst-31897	40	15	,	,	PUNCT
ajst-31897	40	16	theoretical	theoretical	ADJ
ajst-31897	40	17	convergence	convergence	NOUN
ajst-31897	40	18	guarantee	guarantee	NOUN
ajst-31897	40	19	,	,	PUNCT
ajst-31897	40	20	as	as	ADV
ajst-31897	40	21	well	well	ADV
ajst-31897	40	22	as	as	ADP
ajst-31897	40	23	its	its	PRON
ajst-31897	40	24	simple	simple	ADJ
ajst-31897	40	25	form	form	NOUN
ajst-31897	40	26	and	and	CCONJ
ajst-31897	40	27	clear	clear	ADJ
ajst-31897	40	28	concept	concept	NOUN
ajst-31897	40	29	.	.	PUNCT
ajst-31897	41	1	therefore	therefore	ADV
ajst-31897	41	2	,	,	PUNCT
ajst-31897	41	3	it	it	PRON
ajst-31897	41	4	has	have	AUX
ajst-31897	41	5	been	be	AUX
ajst-31897	41	6	widely	widely	ADV
ajst-31897	41	7	applied	apply	VERB
ajst-31897	41	8	in	in	ADP
ajst-31897	41	9	many	many	ADJ
ajst-31897	41	10	engineering	engineering	NOUN
ajst-31897	41	11	and	and	CCONJ
ajst-31897	41	12	scientific	scientific	ADJ
ajst-31897	41	13	fields	field	NOUN
ajst-31897	41	14	.	.	PUNCT
ajst-31897	42	1	3	3	X
ajst-31897	42	2	.	.	X
ajst-31897	42	3	global	global	ADJ
ajst-31897	42	4	sensitivity	sensitivity	NOUN
ajst-31897	42	5	analysis	analysis	NOUN
ajst-31897	42	6	let	let	VERB
ajst-31897	42	7	the	the	DET
ajst-31897	42	8	functional	functional	ADJ
ajst-31897	42	9	functions	function	NOUN
ajst-31897	42	10	of	of	ADP
ajst-31897	42	11	the	the	DET
ajst-31897	42	12	structure	structure	NOUN
ajst-31897	42	13	be	be	AUX
ajst-31897	42	14	g	g	NOUN
ajst-31897	42	15	=	=	NOUN
ajst-31897	42	16	y(x	y(x	NOUN
ajst-31897	42	17	)	)	PUNCT
ajst-31897	42	18	,	,	PUNCT
ajst-31897	42	19	and	and	CCONJ
ajst-31897	42	20	x=(x1	x=(x1	ADJ
ajst-31897	42	21	,	,	PUNCT
ajst-31897	42	22	x2	x2	PROPN
ajst-31897	42	23	,	,	PUNCT
ajst-31897	42	24	…	…	PUNCT
ajst-31897	42	25	,	,	PUNCT
ajst-31897	42	26	xn	xn	PUNCT
ajst-31897	42	27	)	)	PUNCT
ajst-31897	42	28	represents	represent	VERB
ajst-31897	42	29	an	an	DET
ajst-31897	42	30	n	n	ADV
ajst-31897	42	31	-	-	PUNCT
ajst-31897	42	32	dimensional	dimensional	ADJ
ajst-31897	42	33	input	input	NOUN
ajst-31897	42	34	random	random	ADJ
ajst-31897	42	35	variable	variable	NOUN
ajst-31897	42	36	.	.	PUNCT
ajst-31897	43	1	according	accord	VERB
ajst-31897	43	2	to	to	ADP
ajst-31897	43	3	the	the	DET
ajst-31897	43	4	high	high	ADV
ajst-31897	43	5	-	-	PUNCT
ajst-31897	43	6	dimensional	dimensional	ADJ
ajst-31897	43	7	model	model	NOUN
ajst-31897	43	8	expansion	expansion	NOUN
ajst-31897	43	9	theory[6	theory[6	NOUN
ajst-31897	43	10	]	]	PUNCT
ajst-31897	43	11	,	,	PUNCT
ajst-31897	43	12	when	when	SCONJ
ajst-31897	43	13	the	the	DET
ajst-31897	43	14	random	random	ADJ
ajst-31897	43	15	variables	variable	NOUN
ajst-31897	43	16	input	input	NOUN
ajst-31897	43	17	to	to	ADP
ajst-31897	43	18	the	the	DET
ajst-31897	43	19	model	model	NOUN
ajst-31897	43	20	are	be	AUX
ajst-31897	43	21	independent	independent	ADJ
ajst-31897	43	22	of	of	ADP
ajst-31897	43	23	each	each	DET
ajst-31897	43	24	other	other	ADJ
ajst-31897	43	25	,	,	PUNCT
ajst-31897	43	26	the	the	DET
ajst-31897	43	27	functional	functional	ADJ
ajst-31897	43	28	function	function	NOUN
ajst-31897	43	29	y(x	y(x	PROPN
ajst-31897	43	30	)	)	PUNCT
ajst-31897	43	31	can	can	AUX
ajst-31897	43	32	be	be	AUX
ajst-31897	43	33	expanded	expand	VERB
ajst-31897	43	34	as	as	ADP
ajst-31897	43	35	:	:	PUNCT
ajst-31897	43	36	1	1	NUM
ajst-31897	43	37	0	0	NUM
ajst-31897	43	38	1	1	NUM
ajst-31897	43	39	1	1	NUM
ajst-31897	43	40	1	1	NUM
ajst-31897	43	41	1,2	1,2	NUM
ajst-31897	43	42	,	,	PUNCT
ajst-31897	43	43	,	,	PUNCT
ajst-31897	43	44	1	1	NUM
ajst-31897	43	45	(	(	PUNCT
ajst-31897	43	46	)	)	PUNCT
ajst-31897	43	47	(	(	PUNCT
ajst-31897	43	48	)	)	PUNCT
ajst-31897	43	49	(	(	PUNCT
ajst-31897	43	50	,	,	PUNCT
ajst-31897	43	51	)	)	PUNCT
ajst-31897	43	52	(	(	PUNCT
ajst-31897	43	53	,	,	PUNCT
ajst-31897	43	54	,	,	PUNCT
ajst-31897	43	55	)	)	PUNCT
ajst-31897	43	56	n	n	CCONJ
ajst-31897	43	57	n	n	CCONJ
ajst-31897	44	1	n	n	ADV
ajst-31897	45	1	i	i	PRON
ajst-31897	46	1	i	i	PRON
ajst-31897	47	1	ij	ij	INTJ
ajst-31897	48	1	i	i	PRON
ajst-31897	48	2	j	j	VERB
ajst-31897	49	1	i	i	PRON
ajst-31897	49	2	i	i	INTJ
ajst-31897	50	1	j	j	VERB
ajst-31897	51	1	i	i	PRON
ajst-31897	51	2	n	n	VERB
ajst-31897	51	3	n	n	CCONJ
ajst-31897	51	4	y	y	NOUN
ajst-31897	51	5	x	x	SYM
ajst-31897	51	6	y	y	NOUN
ajst-31897	51	7	y	y	PROPN
ajst-31897	51	8	x	x	PUNCT
ajst-31897	51	9	y	y	NOUN
ajst-31897	51	10	x	x	PUNCT
ajst-31897	51	11	x	x	PUNCT
ajst-31897	51	12	y	y	NOUN
ajst-31897	51	13	x	x	PUNCT
ajst-31897	51	14	x	x	SYM
ajst-31897	51	15			VERB
ajst-31897	51	16			NOUN
ajst-31897	51	17			NUM
ajst-31897	51	18			PROPN
ajst-31897	51	19			ADV
ajst-31897	51	20			PUNCT
ajst-31897	51	21			PROPN
ajst-31897	51	22			ADV
ajst-31897	51	23			PUNCT
ajst-31897	51	24			PUNCT
ajst-31897	51	25			PUNCT
ajst-31897	51	26			PROPN
ajst-31897	51	27			ADJ
ajst-31897	51	28			PROPN
ajst-31897	51	29			PROPN
ajst-31897	51	30			VERB
ajst-31897	51	31			X
ajst-31897	51	32			X
ajst-31897	51	33			X
ajst-31897	51	34	(	(	PUNCT
ajst-31897	51	35	3	3	X
ajst-31897	51	36	)	)	PUNCT
ajst-31897	51	37	where	where	SCONJ
ajst-31897	51	38	y0	y0	NOUN
ajst-31897	51	39	is	be	AUX
ajst-31897	51	40	the	the	DET
ajst-31897	51	41	mean	mean	NOUN
ajst-31897	51	42	of	of	ADP
ajst-31897	51	43	y(x	y(x	NOUN
ajst-31897	51	44	)	)	PUNCT
ajst-31897	51	45	,	,	PUNCT
ajst-31897	51	46	(	(	PUNCT
ajst-31897	51	47	)	)	PUNCT
ajst-31897	52	1	i	i	PRON
ajst-31897	52	2	iy	iy	INTJ
ajst-31897	52	3	x	x	PUNCT
ajst-31897	52	4	is	be	AUX
ajst-31897	52	5	a	a	DET
ajst-31897	52	6	univariate	univariate	ADJ
ajst-31897	52	7	function	function	NOUN
ajst-31897	52	8	with	with	ADP
ajst-31897	52	9	respect	respect	NOUN
ajst-31897	52	10	to	to	ADP
ajst-31897	52	11	xi	xi	PROPN
ajst-31897	52	12	,	,	PUNCT
ajst-31897	52	13	(	(	PUNCT
ajst-31897	52	14	,	,	PUNCT
ajst-31897	52	15	)	)	PUNCT
ajst-31897	53	1	ij	ij	INTJ
ajst-31897	54	1	i	i	PRON
ajst-31897	54	2	jy	jy	PROPN
ajst-31897	54	3	x	x	PUNCT
ajst-31897	54	4	x	x	X
ajst-31897	54	5	is	be	AUX
ajst-31897	54	6	a	a	DET
ajst-31897	54	7	bivariate	bivariate	ADJ
ajst-31897	54	8	function	function	NOUN
ajst-31897	54	9	with	with	ADP
ajst-31897	54	10	respect	respect	NOUN
ajst-31897	54	11	to	to	ADP
ajst-31897	54	12	xi	xi	PROPN
ajst-31897	54	13	and	and	CCONJ
ajst-31897	54	14	xj	xj	PROPN
ajst-31897	54	15	,	,	PUNCT
ajst-31897	54	16	and	and	CCONJ
ajst-31897	54	17	so	so	ADV
ajst-31897	54	18	on	on	ADV
ajst-31897	54	19	.	.	PUNCT
ajst-31897	55	1	find	find	VERB
ajst-31897	55	2	the	the	DET
ajst-31897	55	3	variance	variance	NOUN
ajst-31897	55	4	on	on	ADP
ajst-31897	55	5	both	both	DET
ajst-31897	55	6	sides	side	NOUN
ajst-31897	55	7	of	of	ADP
ajst-31897	55	8	eq	eq	PROPN
ajst-31897	55	9	.	.	PUNCT
ajst-31897	56	1	(	(	PUNCT
ajst-31897	56	2	3	3	X
ajst-31897	56	3	)	)	PUNCT
ajst-31897	56	4	simultaneously	simultaneously	ADV
ajst-31897	56	5	:	:	PUNCT
ajst-31897	56	6	1	1	NUM
ajst-31897	56	7	1,2	1,2	NUM
ajst-31897	56	8	,	,	PUNCT
ajst-31897	56	9	1	1	NUM
ajst-31897	56	10	1	1	NUM
ajst-31897	56	11	1	1	NUM
ajst-31897	56	12	(	(	PUNCT
ajst-31897	56	13	)	)	PUNCT
ajst-31897	56	14	n	n	CCONJ
ajst-31897	56	15	n	n	CCONJ
ajst-31897	56	16	n	n	NOUN
ajst-31897	57	1	i	i	PRON
ajst-31897	57	2	ij	ij	INTJ
ajst-31897	57	3	n	n	INTJ
ajst-31897	58	1	i	i	PRON
ajst-31897	58	2	i	i	INTJ
ajst-31897	59	1	j	j	VERB
ajst-31897	60	1	i	i	PRON
ajst-31897	60	2	var	var	VERB
ajst-31897	60	3	g	g	PROPN
ajst-31897	60	4	g	g	PROPN
ajst-31897	60	5	g	g	PROPN
ajst-31897	60	6	g	g	PROPN
ajst-31897	60	7			PROPN
ajst-31897	60	8			X
ajst-31897	60	9			NUM
ajst-31897	61	1			NUM
ajst-31897	61	2			NOUN
ajst-31897	61	3			ADV
ajst-31897	61	4			PROPN
ajst-31897	61	5			ADV
ajst-31897	61	6			X
ajst-31897	61	7			PUNCT
ajst-31897	61	8			X
ajst-31897	61	9			X
ajst-31897	61	10			X
ajst-31897	61	11	(	(	PUNCT
ajst-31897	61	12	4	4	X
ajst-31897	61	13	)	)	PUNCT
ajst-31897	61	14	where	where	SCONJ
ajst-31897	61	15	gi	gi	PRON
ajst-31897	61	16	is	be	AUX
ajst-31897	61	17	the	the	DET
ajst-31897	61	18	variance	variance	NOUN
ajst-31897	61	19	of	of	ADP
ajst-31897	61	20	(	(	PUNCT
ajst-31897	61	21	)	)	PUNCT
ajst-31897	61	22	i	i	PRON
ajst-31897	61	23	iy	iy	INTJ
ajst-31897	61	24	x	x	X
ajst-31897	61	25	,	,	PUNCT
ajst-31897	61	26	gij	gij	PROPN
ajst-31897	61	27	is	be	AUX
ajst-31897	61	28	the	the	DET
ajst-31897	61	29	variance	variance	NOUN
ajst-31897	61	30	of	of	ADP
ajst-31897	61	31	(	(	PUNCT
ajst-31897	61	32	,	,	PUNCT
ajst-31897	61	33	)	)	PUNCT
ajst-31897	61	34	ij	ij	INTJ
ajst-31897	62	1	i	i	PRON
ajst-31897	62	2	jy	jy	PROPN
ajst-31897	62	3	x	x	SYM
ajst-31897	62	4	x	x	X
ajst-31897	62	5	,	,	PUNCT
ajst-31897	62	6	and	and	CCONJ
ajst-31897	62	7	so	so	ADV
ajst-31897	62	8	on	on	ADV
ajst-31897	62	9	.	.	PUNCT
ajst-31897	63	1	the	the	DET
ajst-31897	63	2	specific	specific	ADJ
ajst-31897	63	3	expression	expression	NOUN
ajst-31897	63	4	is	be	AUX
ajst-31897	63	5	:	:	PUNCT
ajst-31897	63	6	(	(	PUNCT
ajst-31897	63	7	(	(	PUNCT
ajst-31897	63	8	)	)	PUNCT
ajst-31897	63	9	)	)	PUNCT
ajst-31897	64	1	|	|	ADV
ajst-31897	64	2	(	(	PUNCT
ajst-31897	64	3	(	(	PUNCT
ajst-31897	64	4	)	)	PUNCT
ajst-31897	64	5	)	)	PUNCT
ajst-31897	65	1	|	|	ADV
ajst-31897	65	2	,	,	PUNCT
ajst-31897	65	3	i	i	PRON
ajst-31897	65	4	i	i	PRON
ajst-31897	66	1	i	i	PRON
ajst-31897	66	2	ij	ij	INTJ
ajst-31897	67	1	i	i	PRON
ajst-31897	67	2	jj	jj	PROPN
ajst-31897	67	3	g	g	PROPN
ajst-31897	67	4	var	var	NOUN
ajst-31897	67	5	e	e	PROPN
ajst-31897	67	6	g	g	NOUN
ajst-31897	67	7	g	g	PROPN
ajst-31897	67	8	var	var	NOUN
ajst-31897	67	9	x	x	PUNCT
ajst-31897	68	1	xe	xe	PROPN
ajst-31897	68	2	g	g	PROPN
ajst-31897	68	3	g	g	PROPN
ajst-31897	68	4	gx	gx	PROPN
ajst-31897	68	5			PROPN
ajst-31897	68	6			PROPN
ajst-31897	68	7			PROPN
ajst-31897	68	8			PROPN
ajst-31897	68	9			PUNCT
ajst-31897	68	10	(	(	PUNCT
ajst-31897	68	11	5	5	NUM
ajst-31897	68	12	)	)	PUNCT
ajst-31897	68	13	where	where	SCONJ
ajst-31897	68	14	var	var	NOUN
ajst-31897	68	15	represents	represent	VERB
ajst-31897	68	16	the	the	DET
ajst-31897	68	17	variance	variance	NOUN
ajst-31897	68	18	operation	operation	NOUN
ajst-31897	68	19	and	and	CCONJ
ajst-31897	68	20	e	e	NOUN
ajst-31897	68	21	represents	represent	VERB
ajst-31897	68	22	the	the	DET
ajst-31897	68	23	expectation	expectation	NOUN
ajst-31897	68	24	operation	operation	NOUN
ajst-31897	68	25	.	.	PUNCT
ajst-31897	69	1	therefore	therefore	ADV
ajst-31897	69	2	,	,	PUNCT
ajst-31897	69	3	the	the	DET
ajst-31897	69	4	expression	expression	NOUN
ajst-31897	69	5	of	of	ADP
ajst-31897	69	6	the	the	DET
ajst-31897	69	7	first	first	ADJ
ajst-31897	69	8	-	-	PUNCT
ajst-31897	69	9	order	order	NOUN
ajst-31897	69	10	variance	variance	NOUN
ajst-31897	69	11	global	global	ADJ
ajst-31897	69	12	sensitivity	sensitivity	NOUN
ajst-31897	69	13	index	index	NOUN
ajst-31897	69	14	si	si	X
ajst-31897	69	15	of	of	ADP
ajst-31897	69	16	variable	variable	NOUN
ajst-31897	69	17	xi	xi	X
ajst-31897	69	18	is	be	AUX
ajst-31897	69	19	:	:	PUNCT
ajst-31897	69	20			PROPN
ajst-31897	69	21			X
ajst-31897	69	22	|	|	PROPN
ajst-31897	69	23	(	(	PUNCT
ajst-31897	69	24	)	)	PUNCT
ajst-31897	69	25	(	(	PUNCT
ajst-31897	69	26	)	)	PUNCT
ajst-31897	69	27	ii	ii	PROPN
ajst-31897	70	1	i	i	PRON
ajst-31897	70	2	var	var	NOUN
ajst-31897	70	3	e	e	X
ajst-31897	70	4	g	g	PROPN
ajst-31897	70	5	xg	xg	PROPN
ajst-31897	70	6	s	s	PART
ajst-31897	70	7	var	var	NOUN
ajst-31897	70	8	g	g	PROPN
ajst-31897	70	9	var	var	NOUN
ajst-31897	70	10	g	g	PROPN
ajst-31897	70	11			PROPN
ajst-31897	70	12			NOUN
ajst-31897	70	13	(	(	PUNCT
ajst-31897	70	14	6	6	NUM
ajst-31897	70	15	)	)	PUNCT
ajst-31897	70	16	sort	sort	NOUN
ajst-31897	70	17	all	all	DET
ajst-31897	70	18	the	the	DET
ajst-31897	70	19	calculated	calculated	ADJ
ajst-31897	70	20	first	first	ADJ
ajst-31897	70	21	-	-	PUNCT
ajst-31897	70	22	order	order	NOUN
ajst-31897	70	23	sobol	sobol	NOUN
ajst-31897	70	24	exponents	exponent	NOUN
ajst-31897	70	25	by	by	ADP
ajst-31897	70	26	their	their	PRON
ajst-31897	70	27	numerical	numerical	ADJ
ajst-31897	70	28	magnitudes	magnitude	NOUN
ajst-31897	70	29	.	.	PUNCT
ajst-31897	71	1	the	the	PRON
ajst-31897	71	2	higher	high	ADJ
ajst-31897	71	3	the	the	DET
ajst-31897	71	4	first	first	ADJ
ajst-31897	71	5	-	-	PUNCT
ajst-31897	71	6	order	order	NOUN
ajst-31897	71	7	sensitivity	sensitivity	NOUN
ajst-31897	71	8	index	index	NOUN
ajst-31897	71	9	is	be	AUX
ajst-31897	71	10	,	,	PUNCT
ajst-31897	71	11	the	the	PRON
ajst-31897	71	12	greater	great	ADJ
ajst-31897	71	13	the	the	DET
ajst-31897	71	14	individual	individual	ADJ
ajst-31897	71	15	contribution	contribution	NOUN
ajst-31897	71	16	of	of	ADP
ajst-31897	71	17	this	this	DET
ajst-31897	71	18	input	input	NOUN
ajst-31897	71	19	variable	variable	NOUN
ajst-31897	71	20	to	to	ADP
ajst-31897	71	21	the	the	DET
ajst-31897	71	22	output	output	NOUN
ajst-31897	71	23	variance	variance	NOUN
ajst-31897	71	24	.	.	PUNCT
ajst-31897	72	1	4	4	X
ajst-31897	72	2	.	.	X
ajst-31897	72	3	cantilever	cantilever	NOUN
ajst-31897	72	4	beam	beam	PROPN
ajst-31897	72	5	calculation	calculation	NOUN
ajst-31897	72	6	example	example	NOUN
ajst-31897	72	7	as	as	SCONJ
ajst-31897	72	8	shown	show	VERB
ajst-31897	72	9	in	in	ADP
ajst-31897	72	10	figure	figure	NOUN
ajst-31897	72	11	1	1	NUM
ajst-31897	72	12	,	,	PUNCT
ajst-31897	72	13	there	there	PRON
ajst-31897	72	14	is	be	VERB
ajst-31897	72	15	a	a	DET
ajst-31897	72	16	reinforced	reinforce	VERB
ajst-31897	72	17	concrete	concrete	ADJ
ajst-31897	72	18	cantilever	cantilever	NOUN
ajst-31897	72	19	beam	beam	NOUN
ajst-31897	72	20	with	with	ADP
ajst-31897	72	21	one	one	NUM
ajst-31897	72	22	end	end	NOUN
ajst-31897	72	23	fixed	fix	VERB
ajst-31897	72	24	and	and	CCONJ
ajst-31897	72	25	the	the	DET
ajst-31897	72	26	other	other	ADJ
ajst-31897	72	27	end	end	NOUN
ajst-31897	72	28	free	free	ADJ
ajst-31897	72	29	.	.	PUNCT
ajst-31897	73	1	the	the	DET
ajst-31897	73	2	cantilever	cantilever	NOUN
ajst-31897	73	3	beam	beam	NOUN
ajst-31897	73	4	is	be	AUX
ajst-31897	73	5	6	6	NUM
ajst-31897	73	6	meters	meter	NOUN
ajst-31897	73	7	long	long	ADJ
ajst-31897	73	8	,	,	PUNCT
ajst-31897	73	9	with	with	ADP
ajst-31897	73	10	an	an	DET
ajst-31897	73	11	elastic	elastic	ADJ
ajst-31897	73	12	modulus	modulus	NOUN
ajst-31897	73	13	of	of	ADP
ajst-31897	73	14	40×106	40×106	NUM
ajst-31897	73	15	kn	kn	PROPN
ajst-31897	73	16	/	/	SYM
ajst-31897	73	17	m2	m2	PROPN
ajst-31897	73	18	.	.	PUNCT
ajst-31897	74	1	the	the	DET
ajst-31897	74	2	concentrated	concentrate	VERB
ajst-31897	74	3	load	load	NOUN
ajst-31897	74	4	at	at	ADP
ajst-31897	74	5	the	the	DET
ajst-31897	74	6	end	end	NOUN
ajst-31897	74	7	is	be	AUX
ajst-31897	74	8	5kn	5kn	ADJ
ajst-31897	74	9	.	.	PUNCT
ajst-31897	75	1	the	the	DET
ajst-31897	75	2	finite	finite	PROPN
ajst-31897	75	3	element	element	NOUN
ajst-31897	75	4	model	model	NOUN
ajst-31897	75	5	consists	consist	VERB
ajst-31897	75	6	of	of	ADP
ajst-31897	75	7	60	60	NUM
ajst-31897	75	8	beam	beam	NOUN
ajst-31897	75	9	elements	element	NOUN
ajst-31897	75	10	.	.	PUNCT
ajst-31897	76	1	let	let	VERB
ajst-31897	76	2	the	the	DET
ajst-31897	76	3	elastic	elastic	ADJ
ajst-31897	76	4	modulus	modulus	NOUN
ajst-31897	76	5	of	of	ADP
ajst-31897	76	6	concrete	concrete	ADJ
ajst-31897	76	7	follow	follow	VERB
ajst-31897	76	8	a	a	DET
ajst-31897	76	9	lognormal	lognormal	ADJ
ajst-31897	76	10	distribution	distribution	NOUN
ajst-31897	76	11	,	,	PUNCT
ajst-31897	76	12	with	with	ADP
ajst-31897	76	13	the	the	DET
ajst-31897	76	14	mean	mean	ADJ
ajst-31897	76	15	and	and	CCONJ
ajst-31897	76	16	mean	mean	ADJ
ajst-31897	76	17	square	square	ADJ
ajst-31897	76	18	deviation	deviation	NOUN
ajst-31897	76	19	taken	take	VERB
ajst-31897	76	20	as	as	ADP
ajst-31897	76	21	0	0	NUM
ajst-31897	76	22	and	and	CCONJ
ajst-31897	76	23	0.1	0.1	NUM
ajst-31897	76	24	respectively	respectively	ADV
ajst-31897	76	25	.	.	PUNCT
ajst-31897	77	1	the	the	DET
ajst-31897	77	2	randomness	randomness	NOUN
ajst-31897	77	3	of	of	ADP
ajst-31897	77	4	the	the	DET
ajst-31897	77	5	material	material	NOUN
ajst-31897	77	6	within	within	ADP
ajst-31897	77	7	every	every	DET
ajst-31897	77	8	2	2	NUM
ajst-31897	77	9	-	-	PUNCT
ajst-31897	77	10	meter	meter	NOUN
ajst-31897	77	11	length	length	NOUN
ajst-31897	77	12	range	range	NOUN
ajst-31897	77	13	is	be	AUX
ajst-31897	77	14	described	describe	VERB
ajst-31897	77	15	by	by	ADP
ajst-31897	77	16	one	one	NUM
ajst-31897	77	17	variable	variable	NOUN
ajst-31897	77	18	.	.	PUNCT
ajst-31897	78	1	the	the	DET
ajst-31897	78	2	entire	entire	ADJ
ajst-31897	78	3	model	model	NOUN
ajst-31897	78	4	consists	consist	VERB
ajst-31897	78	5	of	of	ADP
ajst-31897	78	6	three	three	NUM
ajst-31897	78	7	independent	independent	ADJ
ajst-31897	78	8	random	random	ADJ
ajst-31897	78	9	variables	variable	NOUN
ajst-31897	78	10	,	,	PUNCT
ajst-31897	78	11	corresponding	correspond	VERB
ajst-31897	78	12	to	to	ADP
ajst-31897	78	13	x1	x1	PROPN
ajst-31897	78	14	,	,	PUNCT
ajst-31897	78	15	x2	x2	PROPN
ajst-31897	78	16	,	,	PUNCT
ajst-31897	78	17	and	and	CCONJ
ajst-31897	78	18	x3	x3	VERB
ajst-31897	78	19	respectively	respectively	ADV
ajst-31897	78	20	.	.	PUNCT
ajst-31897	79	1	figure	figure	NOUN
ajst-31897	79	2	1	1	NUM
ajst-31897	79	3	.	.	PUNCT
ajst-31897	80	1	plan	plan	NOUN
ajst-31897	80	2	view	view	NOUN
ajst-31897	80	3	of	of	ADP
ajst-31897	80	4	the	the	DET
ajst-31897	80	5	cantilever	cantilever	NOUN
ajst-31897	80	6	beam	beam	NOUN
ajst-31897	80	7	as	as	SCONJ
ajst-31897	80	8	shown	show	VERB
ajst-31897	80	9	in	in	ADP
ajst-31897	80	10	figure	figure	NOUN
ajst-31897	80	11	2	2	NUM
ajst-31897	81	1	,	,	PUNCT
ajst-31897	81	2	this	this	DET
ajst-31897	81	3	figure	figure	NOUN
ajst-31897	81	4	presents	present	VERB
ajst-31897	81	5	the	the	DET
ajst-31897	81	6	global	global	ADJ
ajst-31897	81	7	sensitivity	sensitivity	NOUN
ajst-31897	81	8	index	index	NOUN
ajst-31897	81	9	analysis	analysis	NOUN
ajst-31897	81	10	results	result	NOUN
ajst-31897	81	11	of	of	ADP
ajst-31897	81	12	the	the	DET
ajst-31897	81	13	deflection	deflection	NOUN
ajst-31897	81	14	at	at	ADP
ajst-31897	81	15	point	point	NOUN
ajst-31897	81	16	a	a	PRON
ajst-31897	81	17	at	at	ADP
ajst-31897	81	18	the	the	DET
ajst-31897	81	19	end	end	NOUN
ajst-31897	81	20	of	of	ADP
ajst-31897	81	21	the	the	DET
ajst-31897	81	22	cantilever	cantilever	NOUN
ajst-31897	81	23	beam	beam	NOUN
ajst-31897	81	24	,	,	PUNCT
ajst-31897	81	25	which	which	PRON
ajst-31897	81	26	were	be	AUX
ajst-31897	81	27	calculated	calculate	VERB
ajst-31897	81	28	using	use	VERB
ajst-31897	81	29	monte	monte	PROPN
ajst-31897	81	30	carlo	carlo	PROPN
ajst-31897	81	31	simulation	simulation	PROPN
ajst-31897	81	32	(	(	PUNCT
ajst-31897	81	33	mcs	mcs	PROPN
ajst-31897	81	34	)	)	PUNCT
ajst-31897	81	35	and	and	CCONJ
ajst-31897	81	36	pc	pc	NOUN
ajst-31897	81	37	methods	method	NOUN
ajst-31897	81	38	respectively	respectively	ADV
ajst-31897	81	39	.	.	PUNCT
ajst-31897	82	1	the	the	DET
ajst-31897	82	2	results	result	NOUN
ajst-31897	82	3	of	of	ADP
ajst-31897	82	4	the	the	DET
ajst-31897	82	5	global	global	ADJ
ajst-31897	82	6	sensitivity	sensitivity	NOUN
ajst-31897	82	7	analysis	analysis	NOUN
ajst-31897	82	8	show	show	VERB
ajst-31897	82	9	that	that	SCONJ
ajst-31897	82	10	the	the	DET
ajst-31897	82	11	sensitivity	sensitivity	NOUN
ajst-31897	82	12	ranking	ranking	NOUN
ajst-31897	82	13	of	of	ADP
ajst-31897	82	14	each	each	DET
ajst-31897	82	15	variable	variable	NOUN
ajst-31897	82	16	is	be	AUX
ajst-31897	82	17	s₁	s₁	PROPN
ajst-31897	82	18	>	>	PUNCT
ajst-31897	82	19	s₂	s₂	PROPN
ajst-31897	82	20	>	>	X
ajst-31897	82	21	s₃	s₃	PROPN
ajst-31897	82	22	,	,	PUNCT
ajst-31897	82	23	indicating	indicate	VERB
ajst-31897	82	24	that	that	SCONJ
ajst-31897	82	25	variable	variable	NOUN
ajst-31897	82	26	x1	x1	PROPN
ajst-31897	82	27	contributes	contribute	VERB
ajst-31897	82	28	the	the	DET
ajst-31897	82	29	most	most	ADJ
ajst-31897	82	30	to	to	ADP
ajst-31897	82	31	the	the	DET
ajst-31897	82	32	deflection	deflection	NOUN
ajst-31897	82	33	at	at	ADP
ajst-31897	82	34	point	point	NOUN
ajst-31897	82	35	a	a	PRON
ajst-31897	82	36	,	,	PUNCT
ajst-31897	82	37	and	and	CCONJ
ajst-31897	82	38	the	the	DET
ajst-31897	82	39	influence	influence	NOUN
ajst-31897	82	40	of	of	ADP
ajst-31897	82	41	x2	x2	PROPN
ajst-31897	82	42	is	be	AUX
ajst-31897	82	43	significantly	significantly	ADV
ajst-31897	82	44	greater	great	ADJ
ajst-31897	82	45	than	than	ADP
ajst-31897	82	46	that	that	PRON
ajst-31897	82	47	of	of	ADP
ajst-31897	82	48	x3	x3	PROPN
ajst-31897	82	49	,	,	PUNCT
ajst-31897	82	50	that	that	ADV
ajst-31897	82	51	is	is	ADV
ajst-31897	82	52	,	,	PUNCT
ajst-31897	82	53	the	the	DET
ajst-31897	82	54	elastic	elastic	ADJ
ajst-31897	82	55	modulus	modulus	NOUN
ajst-31897	82	56	of	of	ADP
ajst-31897	82	57	the	the	DET
ajst-31897	82	58	concrete	concrete	NOUN
ajst-31897	82	59	farther	far	ADV
ajst-31897	82	60	from	from	ADP
ajst-31897	82	61	point	point	NOUN
ajst-31897	83	1	a	a	PRON
ajst-31897	83	2	has	have	VERB
ajst-31897	83	3	a	a	DET
ajst-31897	83	4	more	more	ADV
ajst-31897	83	5	significant	significant	ADJ
ajst-31897	83	6	impact	impact	NOUN
ajst-31897	83	7	on	on	ADP
ajst-31897	83	8	the	the	DET
ajst-31897	83	9	deflection	deflection	NOUN
ajst-31897	83	10	.	.	PUNCT
ajst-31897	84	1	by	by	ADP
ajst-31897	84	2	comparing	compare	VERB
ajst-31897	84	3	the	the	DET
ajst-31897	84	4	calculation	calculation	NOUN
ajst-31897	84	5	results	result	NOUN
ajst-31897	84	6	of	of	ADP
ajst-31897	84	7	pc	pc	NOUN
ajst-31897	84	8	and	and	CCONJ
ajst-31897	84	9	mcs	mcs	PROPN
ajst-31897	84	10	,	,	PUNCT
ajst-31897	84	11	the	the	DET
ajst-31897	84	12	two	two	NUM
ajst-31897	84	13	are	be	AUX
ajst-31897	84	14	highly	highly	ADV
ajst-31897	84	15	consistent	consistent	ADJ
ajst-31897	84	16	,	,	PUNCT
ajst-31897	84	17	verifying	verify	VERB
ajst-31897	84	18	that	that	SCONJ
ajst-31897	84	19	the	the	DET
ajst-31897	84	20	pc	pc	NOUN
ajst-31897	84	21	method	method	NOUN
ajst-31897	84	22	has	have	VERB
ajst-31897	84	23	a	a	DET
ajst-31897	84	24	relatively	relatively	ADV
ajst-31897	84	25	high	high	ADJ
ajst-31897	84	26	calculation	calculation	NOUN
ajst-31897	84	27	accuracy	accuracy	NOUN
ajst-31897	84	28	in	in	ADP
ajst-31897	84	29	such	such	ADJ
ajst-31897	84	30	problems	problem	NOUN
ajst-31897	84	31	.	.	PUNCT
ajst-31897	85	1	furthermore	furthermore	ADV
ajst-31897	85	2	,	,	PUNCT
ajst-31897	85	3	in	in	ADP
ajst-31897	85	4	terms	term	NOUN
ajst-31897	85	5	of	of	ADP
ajst-31897	85	6	computational	computational	ADJ
ajst-31897	85	7	efficiency	efficiency	NOUN
ajst-31897	85	8	,	,	PUNCT
ajst-31897	85	9	mcs	mcs	PROPN
ajst-31897	85	10	takes	take	VERB
ajst-31897	85	11	13.44	13.44	NUM
ajst-31897	85	12	seconds	second	NOUN
ajst-31897	85	13	,	,	PUNCT
ajst-31897	85	14	while	while	SCONJ
ajst-31897	85	15	pc	pc	NOUN
ajst-31897	85	16	only	only	ADV
ajst-31897	85	17	requires	require	VERB
ajst-31897	85	18	0.48	0.48	NUM
ajst-31897	85	19	seconds	second	NOUN
ajst-31897	85	20	.	.	PUNCT
ajst-31897	86	1	the	the	DET
ajst-31897	86	2	former	former	ADJ
ajst-31897	86	3	is	be	AUX
ajst-31897	86	4	approximately	approximately	ADV
ajst-31897	86	5	28	28	NUM
ajst-31897	86	6	times	time	NOUN
ajst-31897	86	7	that	that	DET
ajst-31897	86	8	of	of	ADP
ajst-31897	86	9	the	the	DET
ajst-31897	86	10	latter	latter	ADJ
ajst-31897	86	11	,	,	PUNCT
ajst-31897	86	12	fully	fully	ADV
ajst-31897	86	13	demonstrating	demonstrate	VERB
ajst-31897	86	14	that	that	SCONJ
ajst-31897	86	15	the	the	DET
ajst-31897	86	16	pc	pc	NOUN
ajst-31897	86	17	method	method	NOUN
ajst-31897	86	18	has	have	VERB
ajst-31897	86	19	significant	significant	ADJ
ajst-31897	86	20	efficiency	efficiency	NOUN
ajst-31897	86	21	while	while	SCONJ
ajst-31897	86	22	ensuring	ensure	VERB
ajst-31897	86	23	accuracy	accuracy	NOUN
ajst-31897	86	24	.	.	PUNCT
ajst-31897	87	1	figure	figure	NOUN
ajst-31897	87	2	2	2	NUM
ajst-31897	87	3	.	.	PUNCT
ajst-31897	87	4	global	global	ADJ
ajst-31897	87	5	sensitivity	sensitivity	NOUN
ajst-31897	87	6	index	index	NOUN
ajst-31897	87	7	of	of	ADP
ajst-31897	87	8	deflection	deflection	NOUN
ajst-31897	87	9	at	at	ADP
ajst-31897	87	10	point	point	NOUN
ajst-31897	87	11	a	a	DET
ajst-31897	87	12	80	80	NUM
ajst-31897	87	13	5	5	NUM
ajst-31897	87	14	.	.	PUNCT
ajst-31897	88	1	conclusion	conclusion	VERB
ajst-31897	88	2	this	this	DET
ajst-31897	88	3	paper	paper	NOUN
ajst-31897	88	4	,	,	PUNCT
ajst-31897	88	5	through	through	ADP
ajst-31897	88	6	the	the	DET
ajst-31897	88	7	example	example	NOUN
ajst-31897	88	8	of	of	ADP
ajst-31897	88	9	a	a	DET
ajst-31897	88	10	cantilever	cantilever	NOUN
ajst-31897	88	11	beam	beam	NOUN
ajst-31897	88	12	,	,	PUNCT
ajst-31897	88	13	systematically	systematically	ADV
ajst-31897	88	14	analyzes	analyze	VERB
ajst-31897	88	15	the	the	DET
ajst-31897	88	16	influence	influence	NOUN
ajst-31897	88	17	of	of	ADP
ajst-31897	88	18	the	the	DET
ajst-31897	88	19	randomness	randomness	NOUN
ajst-31897	88	20	of	of	ADP
ajst-31897	88	21	the	the	DET
ajst-31897	88	22	elastic	elastic	ADJ
ajst-31897	88	23	modulus	modulus	NOUN
ajst-31897	88	24	of	of	ADP
ajst-31897	88	25	concrete	concrete	NOUN
ajst-31897	88	26	on	on	ADP
ajst-31897	88	27	the	the	DET
ajst-31897	88	28	deflection	deflection	NOUN
ajst-31897	88	29	at	at	ADP
ajst-31897	88	30	the	the	DET
ajst-31897	88	31	beam	beam	NOUN
ajst-31897	88	32	end	end	NOUN
ajst-31897	88	33	,	,	PUNCT
ajst-31897	88	34	and	and	CCONJ
ajst-31897	88	35	conducts	conduct	VERB
ajst-31897	88	36	a	a	DET
ajst-31897	88	37	global	global	ADJ
ajst-31897	88	38	sensitivity	sensitivity	NOUN
ajst-31897	88	39	analysis	analysis	NOUN
ajst-31897	88	40	using	use	VERB
ajst-31897	88	41	the	the	DET
ajst-31897	88	42	pc	pc	NOUN
ajst-31897	88	43	method	method	NOUN
ajst-31897	88	44	.	.	PUNCT
ajst-31897	89	1	the	the	DET
ajst-31897	89	2	research	research	NOUN
ajst-31897	89	3	results	result	NOUN
ajst-31897	89	4	show	show	VERB
ajst-31897	89	5	that	that	SCONJ
ajst-31897	89	6	:	:	PUNCT
ajst-31897	89	7	(	(	PUNCT
ajst-31897	89	8	1	1	X
ajst-31897	89	9	)	)	PUNCT
ajst-31897	89	10	the	the	DET
ajst-31897	89	11	variable	variable	NOUN
ajst-31897	89	12	x1	x1	PROPN
ajst-31897	89	13	has	have	VERB
ajst-31897	89	14	the	the	DET
ajst-31897	89	15	most	most	ADV
ajst-31897	89	16	significant	significant	ADJ
ajst-31897	89	17	influence	influence	NOUN
ajst-31897	89	18	on	on	ADP
ajst-31897	89	19	deflection	deflection	NOUN
ajst-31897	89	20	,	,	PUNCT
ajst-31897	89	21	followed	follow	VERB
ajst-31897	89	22	by	by	ADP
ajst-31897	89	23	x2	x2	PROPN
ajst-31897	89	24	and	and	CCONJ
ajst-31897	89	25	x3	x3	ADJ
ajst-31897	89	26	,	,	PUNCT
ajst-31897	89	27	indicating	indicate	VERB
ajst-31897	89	28	that	that	SCONJ
ajst-31897	89	29	the	the	DET
ajst-31897	89	30	material	material	NOUN
ajst-31897	89	31	parameters	parameter	NOUN
ajst-31897	89	32	farther	far	ADV
ajst-31897	89	33	from	from	ADP
ajst-31897	89	34	the	the	DET
ajst-31897	89	35	free	free	ADJ
ajst-31897	89	36	end	end	NOUN
ajst-31897	89	37	contribute	contribute	VERB
ajst-31897	89	38	more	more	ADV
ajst-31897	89	39	to	to	ADP
ajst-31897	89	40	deflection	deflection	VERB
ajst-31897	89	41	.	.	PUNCT
ajst-31897	90	1	(	(	PUNCT
ajst-31897	90	2	2	2	X
ajst-31897	90	3	)	)	PUNCT
ajst-31897	90	4	the	the	DET
ajst-31897	90	5	pc	pc	NOUN
ajst-31897	90	6	method	method	NOUN
ajst-31897	90	7	was	be	AUX
ajst-31897	90	8	highly	highly	ADV
ajst-31897	90	9	consistent	consistent	ADJ
ajst-31897	90	10	with	with	ADP
ajst-31897	90	11	the	the	DET
ajst-31897	90	12	mcs	mcs	PROPN
ajst-31897	90	13	results	result	NOUN
ajst-31897	90	14	when	when	SCONJ
ajst-31897	90	15	calculating	calculate	VERB
ajst-31897	90	16	the	the	DET
ajst-31897	90	17	sobol	sobol	NOUN
ajst-31897	90	18	sensitivity	sensitivity	NOUN
ajst-31897	90	19	index	index	NOUN
ajst-31897	90	20	,	,	PUNCT
ajst-31897	90	21	verifying	verify	VERB
ajst-31897	90	22	its	its	PRON
ajst-31897	90	23	accuracy	accuracy	NOUN
ajst-31897	90	24	.	.	PUNCT
ajst-31897	91	1	(	(	PUNCT
ajst-31897	91	2	3	3	X
ajst-31897	91	3	)	)	PUNCT
ajst-31897	91	4	in	in	ADP
ajst-31897	91	5	terms	term	NOUN
ajst-31897	91	6	of	of	ADP
ajst-31897	91	7	computational	computational	ADJ
ajst-31897	91	8	efficiency	efficiency	NOUN
ajst-31897	91	9	,	,	PUNCT
ajst-31897	91	10	the	the	DET
ajst-31897	91	11	time	time	NOUN
ajst-31897	91	12	consumption	consumption	NOUN
ajst-31897	91	13	of	of	ADP
ajst-31897	91	14	the	the	DET
ajst-31897	91	15	pc	pc	NOUN
ajst-31897	91	16	method	method	NOUN
ajst-31897	91	17	is	be	AUX
ajst-31897	91	18	only	only	ADV
ajst-31897	91	19	1/28	1/28	NUM
ajst-31897	91	20	of	of	ADP
ajst-31897	91	21	that	that	PRON
ajst-31897	91	22	of	of	ADP
ajst-31897	91	23	mcs	mcs	PROPN
ajst-31897	91	24	,	,	PUNCT
ajst-31897	91	25	demonstrating	demonstrate	VERB
ajst-31897	91	26	remarkable	remarkable	ADJ
ajst-31897	91	27	efficiency	efficiency	NOUN
ajst-31897	91	28	.	.	PUNCT
ajst-31897	92	1	in	in	ADP
ajst-31897	92	2	conclusion	conclusion	NOUN
ajst-31897	92	3	,	,	PUNCT
ajst-31897	92	4	the	the	DET
ajst-31897	92	5	pc	pc	NOUN
ajst-31897	92	6	method	method	NOUN
ajst-31897	92	7	,	,	PUNCT
ajst-31897	92	8	as	as	ADP
ajst-31897	92	9	an	an	DET
ajst-31897	92	10	efficient	efficient	ADJ
ajst-31897	92	11	surrogate	surrogate	ADJ
ajst-31897	92	12	model	model	NOUN
ajst-31897	92	13	technology	technology	NOUN
ajst-31897	92	14	,	,	PUNCT
ajst-31897	92	15	is	be	AUX
ajst-31897	92	16	suitable	suitable	ADJ
ajst-31897	92	17	for	for	ADP
ajst-31897	92	18	the	the	DET
ajst-31897	92	19	global	global	ADJ
ajst-31897	92	20	sensitivity	sensitivity	NOUN
ajst-31897	92	21	calculation	calculation	NOUN
ajst-31897	92	22	in	in	ADP
ajst-31897	92	23	the	the	DET
ajst-31897	92	24	random	random	ADJ
ajst-31897	92	25	response	response	NOUN
ajst-31897	92	26	analysis	analysis	NOUN
ajst-31897	92	27	of	of	ADP
ajst-31897	92	28	structures	structure	NOUN
ajst-31897	92	29	and	and	CCONJ
ajst-31897	92	30	has	have	VERB
ajst-31897	92	31	a	a	DET
ajst-31897	92	32	promising	promising	ADJ
ajst-31897	92	33	engineering	engineering	NOUN
ajst-31897	92	34	application	application	NOUN
ajst-31897	92	35	prospect	prospect	NOUN
ajst-31897	92	36	.	.	PUNCT
ajst-31897	93	1	in	in	ADP
ajst-31897	93	2	the	the	DET
ajst-31897	93	3	future	future	NOUN
ajst-31897	93	4	,	,	PUNCT
ajst-31897	93	5	it	it	PRON
ajst-31897	93	6	can	can	AUX
ajst-31897	93	7	be	be	AUX
ajst-31897	93	8	further	far	ADV
ajst-31897	93	9	extended	extend	VERB
ajst-31897	93	10	to	to	ADP
ajst-31897	93	11	more	more	ADV
ajst-31897	93	12	complex	complex	ADJ
ajst-31897	93	13	structural	structural	ADJ
ajst-31897	93	14	systems	system	NOUN
ajst-31897	93	15	and	and	CCONJ
ajst-31897	93	16	nonlinear	nonlinear	ADJ
ajst-31897	93	17	problems	problem	NOUN
ajst-31897	93	18	.	.	PUNCT
ajst-31897	94	1	references	reference	NOUN
ajst-31897	94	2	[	[	X
ajst-31897	94	3	1	1	NUM
ajst-31897	94	4	]	]	PUNCT
ajst-31897	94	5	sobol	sobol	NOUN
ajst-31897	94	6	’	'	PUNCT
ajst-31897	95	1	i	i	PRON
ajst-31897	95	2	m.	m.	VERB
ajst-31897	95	3	on	on	ADP
ajst-31897	95	4	sensitivity	sensitivity	NOUN
ajst-31897	95	5	estimation	estimation	NOUN
ajst-31897	95	6	for	for	ADP
ajst-31897	95	7	nonlinear	nonlinear	ADJ
ajst-31897	95	8	mathematical	mathematical	ADJ
ajst-31897	95	9	models	model	NOUN
ajst-31897	96	1	[	[	X
ajst-31897	96	2	j	j	X
ajst-31897	96	3	]	]	X
ajst-31897	96	4	.	.	PUNCT
ajst-31897	97	1	matematicheskoe	matematicheskoe	PROPN
ajst-31897	97	2	modelirovanie	modelirovanie	PROPN
ajst-31897	97	3	.	.	PUNCT
ajst-31897	98	1	1990	1990	NUM
ajst-31897	98	2	,	,	PUNCT
ajst-31897	98	3	2	2	NUM
ajst-31897	98	4	:	:	SYM
ajst-31897	98	5	112	112	NUM
ajst-31897	98	6	-	-	SYM
ajst-31897	98	7	118	118	NUM
ajst-31897	98	8	.	.	PUNCT
ajst-31897	99	1	[	[	X
ajst-31897	99	2	2	2	NUM
ajst-31897	99	3	]	]	PUNCT
ajst-31897	99	4	sudret	sudret	PROPN
ajst-31897	99	5	bruno	bruno	PROPN
ajst-31897	99	6	.	.	PUNCT
ajst-31897	100	1	global	global	ADJ
ajst-31897	100	2	sensitivity	sensitivity	NOUN
ajst-31897	100	3	analysis	analysis	NOUN
ajst-31897	100	4	using	use	VERB
ajst-31897	100	5	polynomial	polynomial	ADJ
ajst-31897	100	6	chaos	chaos	NOUN
ajst-31897	100	7	expansions[j	expansions[j	ADJ
ajst-31897	100	8	]	]	X
ajst-31897	100	9	.	.	PUNCT
ajst-31897	101	1	reliability	reliability	NOUN
ajst-31897	101	2	engineering	engineering	NOUN
ajst-31897	101	3	and	and	CCONJ
ajst-31897	101	4	system	system	NOUN
ajst-31897	101	5	safety	safety	NOUN
ajst-31897	101	6	.	.	PUNCT
ajst-31897	102	1	2008	2008	NUM
ajst-31897	102	2	,	,	PUNCT
ajst-31897	102	3	93(7	93(7	NUM
ajst-31897	102	4	):	):	PUNCT
ajst-31897	102	5	964	964	NUM
ajst-31897	102	6	-	-	SYM
ajst-31897	102	7	979	979	NUM
ajst-31897	102	8	.	.	PUNCT
ajst-31897	103	1	[	[	X
ajst-31897	103	2	3	3	X
ajst-31897	103	3	]	]	X
ajst-31897	103	4	storlie	storlie	NOUN
ajst-31897	103	5	b	b	PROPN
ajst-31897	103	6	c	c	NOUN
ajst-31897	103	7	,	,	PUNCT
ajst-31897	103	8	swiler	swiler	NOUN
ajst-31897	103	9	p	p	PROPN
ajst-31897	103	10	l	l	NOUN
ajst-31897	103	11	,	,	PUNCT
ajst-31897	103	12	helton	helton	PROPN
ajst-31897	103	13	c	c	PROPN
ajst-31897	103	14	j	j	PROPN
ajst-31897	103	15	,	,	PUNCT
ajst-31897	103	16	et	et	PROPN
ajst-31897	103	17	al	al	PROPN
ajst-31897	103	18	.	.	PUNCT
ajst-31897	103	19	implementation	implementation	NOUN
ajst-31897	103	20	and	and	CCONJ
ajst-31897	103	21	evaluation	evaluation	NOUN
ajst-31897	103	22	of	of	ADP
ajst-31897	103	23	nonparametric	nonparametric	NOUN
ajst-31897	103	24	regression	regression	NOUN
ajst-31897	103	25	procedures	procedure	NOUN
ajst-31897	103	26	for	for	ADP
ajst-31897	103	27	sensitivity	sensitivity	NOUN
ajst-31897	103	28	analysis	analysis	NOUN
ajst-31897	103	29	of	of	ADP
ajst-31897	103	30	computationally	computationally	ADV
ajst-31897	103	31	demanding	demand	VERB
ajst-31897	103	32	models[j	models[j	NOUN
ajst-31897	103	33	]	]	X
ajst-31897	103	34	.	.	PUNCT
ajst-31897	104	1	reliability	reliability	NOUN
ajst-31897	104	2	engineering	engineering	NOUN
ajst-31897	104	3	and	and	CCONJ
ajst-31897	104	4	system	system	NOUN
ajst-31897	104	5	safety	safety	NOUN
ajst-31897	104	6	,	,	PUNCT
ajst-31897	104	7	2009	2009	NUM
ajst-31897	104	8	,	,	PUNCT
ajst-31897	104	9	94(11	94(11	NUM
ajst-31897	104	10	):	):	PUNCT
ajst-31897	104	11	1735	1735	NUM
ajst-31897	104	12	-	-	SYM
ajst-31897	104	13	1763	1763	NUM
ajst-31897	104	14	.	.	PUNCT
ajst-31897	105	1	[	[	X
ajst-31897	105	2	4	4	X
ajst-31897	105	3	]	]	X
ajst-31897	105	4	kim	kim	PROPN
ajst-31897	105	5	d	d	PROPN
ajst-31897	105	6	,	,	PUNCT
ajst-31897	105	7	debusschere	debusschere	PROPN
ajst-31897	105	8	b	b	PROPN
ajst-31897	105	9	j	j	PROPN
ajst-31897	105	10	,	,	PUNCT
ajst-31897	105	11	najm	najm	ADJ
ajst-31897	105	12	h	h	PROPN
ajst-31897	105	13	n.	n.	PROPN
ajst-31897	105	14	spectral	spectral	ADJ
ajst-31897	105	15	methods	method	NOUN
ajst-31897	105	16	for	for	ADP
ajst-31897	105	17	parametric	parametric	ADJ
ajst-31897	105	18	sensitivity	sensitivity	NOUN
ajst-31897	105	19	in	in	ADP
ajst-31897	105	20	stochastic	stochastic	ADJ
ajst-31897	105	21	dynamical	dynamical	ADJ
ajst-31897	105	22	systems[j	systems[j	NOUN
ajst-31897	105	23	]	]	PUNCT
ajst-31897	105	24	.	.	PUNCT
ajst-31897	106	1	biophys	biophy	NOUN
ajst-31897	106	2	.	.	PUNCT
ajst-31897	107	1	2007	2007	NUM
ajst-31897	107	2	,	,	PUNCT
ajst-31897	107	3	92(2	92(2	NUM
ajst-31897	107	4	):	):	PUNCT
ajst-31897	107	5	379–393	379–393	NUM
ajst-31897	107	6	.	.	PUNCT
ajst-31897	108	1	[	[	X
ajst-31897	108	2	5	5	NUM
ajst-31897	108	3	]	]	PUNCT
ajst-31897	108	4	xiu	xiu	PROPN
ajst-31897	108	5	d	d	PROPN
ajst-31897	108	6	,	,	PUNCT
ajst-31897	108	7	karniadakis	karniadakis	PROPN
ajst-31897	108	8	g	g	PROPN
ajst-31897	108	9	e.	e.	PROPN
ajst-31897	109	1	the	the	DET
ajst-31897	109	2	wiener	wiener	NOUN
ajst-31897	109	3	--askey	--askey	PUNCT
ajst-31897	109	4	polynomial	polynomial	ADJ
ajst-31897	109	5	chaos	chaos	NOUN
ajst-31897	109	6	for	for	ADP
ajst-31897	109	7	stochastic	stochastic	ADJ
ajst-31897	109	8	differential	differential	NOUN
ajst-31897	109	9	equations[j	equations[j	PROPN
ajst-31897	109	10	]	]	PUNCT
ajst-31897	109	11	.	.	PUNCT
ajst-31897	110	1	slam	slam	PROPN
ajst-31897	110	2	journal	journal	PROPN
ajst-31897	110	3	on	on	ADP
ajst-31897	110	4	scientific	scientific	ADJ
ajst-31897	110	5	computing	computing	NOUN
ajst-31897	110	6	.	.	PUNCT
ajst-31897	111	1	2002	2002	NUM
ajst-31897	111	2	,	,	PUNCT
ajst-31897	111	3	24(2	24(2	NUM
ajst-31897	111	4	):	):	PUNCT
ajst-31897	111	5	619	619	NUM
ajst-31897	111	6	-	-	SYM
ajst-31897	111	7	644	644	NUM
ajst-31897	111	8	.	.	PUNCT
ajst-31897	112	1	[	[	X
ajst-31897	112	2	6	6	NUM
ajst-31897	112	3	]	]	PUNCT
ajst-31897	112	4	sobol	sobol	NOUN
ajst-31897	112	5	i	i	PRON
ajst-31897	112	6	m.	m.	VERB
ajst-31897	112	7	global	global	ADJ
ajst-31897	112	8	sensitivity	sensitivity	NOUN
ajst-31897	112	9	indices	indice	VERB
ajst-31897	112	10	for	for	ADP
ajst-31897	112	11	nonlinear	nonlinear	ADJ
ajst-31897	112	12	mathematical	mathematical	ADJ
ajst-31897	112	13	models	model	NOUN
ajst-31897	112	14	and	and	CCONJ
ajst-31897	112	15	their	their	PRON
ajst-31897	112	16	monte	monte	PROPN
ajst-31897	112	17	carlo	carlo	PROPN
ajst-31897	112	18	estimates	estimate	VERB
ajst-31897	113	1	[	[	X
ajst-31897	113	2	j	j	X
ajst-31897	113	3	]	]	X
ajst-31897	113	4	.	.	PUNCT
ajst-31897	114	1	mathematics	mathematic	NOUN
ajst-31897	114	2	and	and	CCONJ
ajst-31897	114	3	computers	computer	NOUN
ajst-31897	114	4	in	in	ADP
ajst-31897	114	5	simulation	simulation	NOUN
ajst-31897	114	6	,	,	PUNCT
ajst-31897	114	7	2001	2001	NUM
ajst-31897	114	8	,	,	PUNCT
ajst-31897	114	9	55(1	55(1	NOUN
ajst-31897	114	10	-	-	SYM
ajst-31897	114	11	3	3	NUM
ajst-31897	114	12	):	):	PUNCT
ajst-31897	114	13	271	271	NUM
ajst-31897	114	14	-	-	SYM
ajst-31897	114	15	280	280	NUM
ajst-31897	114	16	.	.	PUNCT