id	sid	tid	token	lemma	pos
ejpam-4758	1	1	european	european	PROPN
ejpam-4758	1	2	journal	journal	PROPN
ejpam-4758	1	3	of	of	ADP
ejpam-4758	1	4	pure	pure	ADJ
ejpam-4758	1	5	and	and	CCONJ
ejpam-4758	1	6	applied	apply	VERB
ejpam-4758	1	7	mathematics	mathematic	NOUN
ejpam-4758	1	8	vol	vol	NOUN
ejpam-4758	1	9	.	.	PUNCT
ejpam-4758	2	1	16	16	NUM
ejpam-4758	2	2	,	,	PUNCT
ejpam-4758	2	3	no	no	INTJ
ejpam-4758	2	4	.	.	NOUN
ejpam-4758	2	5	2	2	NUM
ejpam-4758	2	6	,	,	PUNCT
ejpam-4758	2	7	2023	2023	NUM
ejpam-4758	2	8	,	,	PUNCT
ejpam-4758	2	9	1140	1140	NUM
ejpam-4758	2	10	-	-	SYM
ejpam-4758	2	11	1153	1153	NUM
ejpam-4758	2	12	issn	issn	PROPN
ejpam-4758	2	13	1307	1307	NUM
ejpam-4758	2	14	-	-	SYM
ejpam-4758	2	15	5543	5543	NUM
ejpam-4758	2	16	–	–	PUNCT
ejpam-4758	3	1	ejpam.com	ejpam.com	X
ejpam-4758	3	2	published	publish	VERB
ejpam-4758	3	3	by	by	ADP
ejpam-4758	3	4	new	new	PROPN
ejpam-4758	3	5	york	york	PROPN
ejpam-4758	3	6	business	business	PROPN
ejpam-4758	3	7	global	global	ADJ
ejpam-4758	3	8	inverse	inverse	NOUN
ejpam-4758	3	9	boundary	boundary	PROPN
ejpam-4758	3	10	value	value	NOUN
ejpam-4758	3	11	problem	problem	NOUN
ejpam-4758	3	12	solution	solution	NOUN
ejpam-4758	3	13	for	for	ADP
ejpam-4758	3	14	deflected	deflected	ADJ
ejpam-4758	3	15	beams	beam	NOUN
ejpam-4758	3	16	joined	join	VERB
ejpam-4758	3	17	together	together	ADV
ejpam-4758	3	18	by	by	ADP
ejpam-4758	3	19	elastic	elastic	ADJ
ejpam-4758	3	20	medium	medium	NOUN
ejpam-4758	3	21	omar	omar	PROPN
ejpam-4758	3	22	alomari1,∗	alomari1,∗	NOUN
ejpam-4758	3	23	,	,	PUNCT
ejpam-4758	3	24	pavel	pavel	PROPN
ejpam-4758	3	25	b.dubovski2	b.dubovski2	NOUN
ejpam-4758	3	26	1	1	NUM
ejpam-4758	3	27	school	school	NOUN
ejpam-4758	3	28	of	of	ADP
ejpam-4758	3	29	basic	basic	ADJ
ejpam-4758	3	30	sciences	science	NOUN
ejpam-4758	3	31	and	and	CCONJ
ejpam-4758	3	32	humanities	humanity	NOUN
ejpam-4758	3	33	,	,	PUNCT
ejpam-4758	3	34	german	german	ADJ
ejpam-4758	3	35	jordanian	jordanian	ADJ
ejpam-4758	3	36	university	university	NOUN
ejpam-4758	3	37	,	,	PUNCT
ejpam-4758	3	38	amman	amman	PROPN
ejpam-4758	3	39	,	,	PUNCT
ejpam-4758	3	40	jordan	jordan	PROPN
ejpam-4758	3	41	2	2	NUM
ejpam-4758	3	42	department	department	NOUN
ejpam-4758	3	43	of	of	ADP
ejpam-4758	3	44	mathematical	mathematical	ADJ
ejpam-4758	3	45	sciences	sciences	PROPN
ejpam-4758	3	46	,	,	PUNCT
ejpam-4758	3	47	stevens	stevens	PROPN
ejpam-4758	3	48	institute	institute	PROPN
ejpam-4758	3	49	of	of	ADP
ejpam-4758	3	50	technology	technology	PROPN
ejpam-4758	3	51	,	,	PUNCT
ejpam-4758	3	52	hoboken	hoboken	PROPN
ejpam-4758	3	53	,	,	PUNCT
ejpam-4758	3	54	nj	nj	PROPN
ejpam-4758	3	55	,	,	PUNCT
ejpam-4758	3	56	usa	usa	PROPN
ejpam-4758	3	57	abstract	abstract	NOUN
ejpam-4758	3	58	.	.	PUNCT
ejpam-4758	4	1	in	in	ADP
ejpam-4758	4	2	this	this	DET
ejpam-4758	4	3	paper	paper	NOUN
ejpam-4758	4	4	,	,	PUNCT
ejpam-4758	4	5	we	we	PRON
ejpam-4758	4	6	extend	extend	VERB
ejpam-4758	4	7	the	the	DET
ejpam-4758	4	8	euler	euler	NOUN
ejpam-4758	4	9	-	-	PUNCT
ejpam-4758	4	10	bernoulli	bernoulli	PROPN
ejpam-4758	4	11	beam	beam	NOUN
ejpam-4758	4	12	theory	theory	NOUN
ejpam-4758	4	13	for	for	ADP
ejpam-4758	4	14	bending	bend	VERB
ejpam-4758	4	15	boundary	boundary	ADJ
ejpam-4758	4	16	value	value	NOUN
ejpam-4758	4	17	problem	problem	NOUN
ejpam-4758	4	18	into	into	ADP
ejpam-4758	4	19	mechanically	mechanically	ADV
ejpam-4758	4	20	coupled	couple	VERB
ejpam-4758	4	21	system	system	NOUN
ejpam-4758	4	22	.	.	PUNCT
ejpam-4758	5	1	we	we	PRON
ejpam-4758	5	2	follow	follow	VERB
ejpam-4758	5	3	the	the	DET
ejpam-4758	5	4	inverse	inverse	NOUN
ejpam-4758	5	5	approach	approach	NOUN
ejpam-4758	5	6	to	to	PART
ejpam-4758	5	7	find	find	VERB
ejpam-4758	5	8	the	the	DET
ejpam-4758	5	9	exerted	exert	VERB
ejpam-4758	5	10	force	force	NOUN
ejpam-4758	5	11	on	on	ADP
ejpam-4758	5	12	two	two	NUM
ejpam-4758	5	13	beams	beam	NOUN
ejpam-4758	5	14	separated	separate	VERB
ejpam-4758	5	15	by	by	ADP
ejpam-4758	5	16	elastic	elastic	ADJ
ejpam-4758	5	17	material	material	NOUN
ejpam-4758	5	18	.	.	PUNCT
ejpam-4758	6	1	the	the	DET
ejpam-4758	6	2	theory	theory	NOUN
ejpam-4758	6	3	was	be	AUX
ejpam-4758	6	4	utilized	utilize	VERB
ejpam-4758	6	5	in	in	ADP
ejpam-4758	6	6	two	two	NUM
ejpam-4758	6	7	ways	way	NOUN
ejpam-4758	6	8	:	:	PUNCT
ejpam-4758	6	9	in	in	ADP
ejpam-4758	6	10	the	the	DET
ejpam-4758	6	11	first	first	ADJ
ejpam-4758	6	12	approach	approach	NOUN
ejpam-4758	6	13	,	,	PUNCT
ejpam-4758	6	14	we	we	PRON
ejpam-4758	6	15	calculate	calculate	VERB
ejpam-4758	6	16	the	the	DET
ejpam-4758	6	17	force	force	NOUN
ejpam-4758	6	18	exerted	exert	VERB
ejpam-4758	6	19	on	on	ADP
ejpam-4758	6	20	the	the	DET
ejpam-4758	6	21	beams	beam	NOUN
ejpam-4758	6	22	using	use	VERB
ejpam-4758	6	23	known	know	VERB
ejpam-4758	6	24	values	value	NOUN
ejpam-4758	6	25	for	for	ADP
ejpam-4758	6	26	the	the	DET
ejpam-4758	6	27	stiffness	stiffness	NOUN
ejpam-4758	6	28	constant	constant	ADJ
ejpam-4758	6	29	and	and	CCONJ
ejpam-4758	6	30	measured	measured	ADJ
ejpam-4758	6	31	values	value	NOUN
ejpam-4758	6	32	for	for	ADP
ejpam-4758	6	33	the	the	DET
ejpam-4758	6	34	beam	beam	NOUN
ejpam-4758	6	35	deflections	deflection	NOUN
ejpam-4758	6	36	.	.	PUNCT
ejpam-4758	7	1	in	in	ADP
ejpam-4758	7	2	the	the	DET
ejpam-4758	7	3	second	second	ADJ
ejpam-4758	7	4	method	method	NOUN
ejpam-4758	7	5	,	,	PUNCT
ejpam-4758	7	6	we	we	PRON
ejpam-4758	7	7	calculate	calculate	VERB
ejpam-4758	7	8	the	the	DET
ejpam-4758	7	9	stiffness	stiffness	NOUN
ejpam-4758	7	10	constant	constant	ADJ
ejpam-4758	7	11	using	use	VERB
ejpam-4758	7	12	a	a	DET
ejpam-4758	7	13	single	single	ADJ
ejpam-4758	7	14	known	know	VERB
ejpam-4758	7	15	force	force	NOUN
ejpam-4758	7	16	and	and	CCONJ
ejpam-4758	7	17	measured	measured	ADJ
ejpam-4758	7	18	deflections	deflection	NOUN
ejpam-4758	7	19	.	.	PUNCT
ejpam-4758	8	1	these	these	DET
ejpam-4758	8	2	problems	problem	NOUN
ejpam-4758	8	3	are	be	AUX
ejpam-4758	8	4	typically	typically	ADV
ejpam-4758	8	5	illposed	illpose	VERB
ejpam-4758	8	6	problems	problem	NOUN
ejpam-4758	8	7	whose	whose	DET
ejpam-4758	8	8	solution	solution	NOUN
ejpam-4758	8	9	does	do	AUX
ejpam-4758	8	10	not	not	PART
ejpam-4758	8	11	depend	depend	VERB
ejpam-4758	8	12	continuously	continuously	ADV
ejpam-4758	8	13	on	on	ADP
ejpam-4758	8	14	the	the	DET
ejpam-4758	8	15	boundary	boundary	ADJ
ejpam-4758	8	16	data	datum	NOUN
ejpam-4758	8	17	.	.	PUNCT
ejpam-4758	9	1	to	to	PART
ejpam-4758	9	2	minimize	minimize	VERB
ejpam-4758	9	3	the	the	DET
ejpam-4758	9	4	variational	variational	ADJ
ejpam-4758	9	5	functional	functional	NOUN
ejpam-4758	9	6	,	,	PUNCT
ejpam-4758	9	7	we	we	PRON
ejpam-4758	9	8	develop	develop	VERB
ejpam-4758	9	9	an	an	DET
ejpam-4758	9	10	iterative	iterative	NOUN
ejpam-4758	9	11	algorithm	algorithm	NOUN
ejpam-4758	9	12	based	base	VERB
ejpam-4758	9	13	on	on	ADP
ejpam-4758	9	14	the	the	DET
ejpam-4758	9	15	system	system	NOUN
ejpam-4758	9	16	of	of	ADP
ejpam-4758	9	17	three	three	NUM
ejpam-4758	9	18	equations	equation	NOUN
ejpam-4758	9	19	:	:	PUNCT
ejpam-4758	9	20	the	the	DET
ejpam-4758	9	21	direct	direct	ADJ
ejpam-4758	9	22	,	,	PUNCT
ejpam-4758	9	23	adjoint	adjoint	NOUN
ejpam-4758	9	24	,	,	PUNCT
ejpam-4758	9	25	and	and	CCONJ
ejpam-4758	9	26	control	control	NOUN
ejpam-4758	9	27	equations	equation	NOUN
ejpam-4758	9	28	.	.	PUNCT
ejpam-4758	10	1	then	then	ADV
ejpam-4758	10	2	,	,	PUNCT
ejpam-4758	10	3	we	we	PRON
ejpam-4758	10	4	present	present	VERB
ejpam-4758	10	5	numerical	numerical	ADJ
ejpam-4758	10	6	examples	example	NOUN
ejpam-4758	10	7	to	to	PART
ejpam-4758	10	8	obtain	obtain	VERB
ejpam-4758	10	9	the	the	DET
ejpam-4758	10	10	solutions	solution	NOUN
ejpam-4758	10	11	.	.	PUNCT
ejpam-4758	11	1	2020	2020	NUM
ejpam-4758	11	2	mathematics	mathematic	NOUN
ejpam-4758	11	3	subject	subject	NOUN
ejpam-4758	11	4	classifications	classification	NOUN
ejpam-4758	11	5	:	:	PUNCT
ejpam-4758	11	6	65l09	65l09	NUM
ejpam-4758	11	7	,	,	PUNCT
ejpam-4758	11	8	31a25	31a25	NUM
ejpam-4758	11	9	,	,	PUNCT
ejpam-4758	11	10	34a55	34a55	NUM
ejpam-4758	11	11	,	,	PUNCT
ejpam-4758	11	12	35r30	35r30	NUM
ejpam-4758	11	13	,	,	PUNCT
ejpam-4758	11	14	65m32	65m32	NOUN
ejpam-4758	11	15	key	key	ADJ
ejpam-4758	11	16	words	word	NOUN
ejpam-4758	11	17	and	and	CCONJ
ejpam-4758	11	18	phrases	phrase	NOUN
ejpam-4758	11	19	:	:	PUNCT
ejpam-4758	11	20	adjoint	adjoint	NOUN
ejpam-4758	11	21	equation	equation	NOUN
ejpam-4758	11	22	,	,	PUNCT
ejpam-4758	11	23	euler	euler	NOUN
ejpam-4758	11	24	-	-	PUNCT
ejpam-4758	11	25	bernoulli	bernoulli	PROPN
ejpam-4758	11	26	beam	beam	NOUN
ejpam-4758	11	27	theory	theory	NOUN
ejpam-4758	11	28	,	,	PUNCT
ejpam-4758	11	29	inverse	inverse	NOUN
ejpam-4758	11	30	problem	problem	NOUN
ejpam-4758	11	31	,	,	PUNCT
ejpam-4758	11	32	tikhonov	tikhonov	NOUN
ejpam-4758	11	33	regularization	regularization	NOUN
ejpam-4758	11	34	,	,	PUNCT
ejpam-4758	11	35	touchscreen	touchscreen	NOUN
ejpam-4758	11	36	,	,	PUNCT
ejpam-4758	11	37	ill	ill	ADV
ejpam-4758	11	38	-	-	PUNCT
ejpam-4758	11	39	posed	pose	VERB
ejpam-4758	11	40	1	1	NUM
ejpam-4758	11	41	.	.	PUNCT
ejpam-4758	11	42	introduction	introduction	NOUN
ejpam-4758	11	43	devices	device	NOUN
ejpam-4758	11	44	with	with	ADP
ejpam-4758	11	45	touchscreens	touchscreen	NOUN
ejpam-4758	11	46	capability	capability	NOUN
ejpam-4758	11	47	such	such	ADJ
ejpam-4758	11	48	as	as	ADP
ejpam-4758	11	49	smartphones	smartphone	NOUN
ejpam-4758	11	50	,	,	PUNCT
ejpam-4758	11	51	tablets	tablet	NOUN
ejpam-4758	11	52	,	,	PUNCT
ejpam-4758	11	53	televisions	television	NOUN
ejpam-4758	11	54	,	,	PUNCT
ejpam-4758	11	55	and	and	CCONJ
ejpam-4758	11	56	medical	medical	ADJ
ejpam-4758	11	57	equipment	equipment	NOUN
ejpam-4758	11	58	have	have	AUX
ejpam-4758	11	59	become	become	VERB
ejpam-4758	11	60	a	a	DET
ejpam-4758	11	61	necessity	necessity	NOUN
ejpam-4758	11	62	nowadays	nowadays	ADV
ejpam-4758	11	63	[	[	X
ejpam-4758	11	64	6	6	NUM
ejpam-4758	11	65	]	]	PUNCT
ejpam-4758	11	66	.	.	PUNCT
ejpam-4758	12	1	their	their	PRON
ejpam-4758	12	2	popular	popular	ADJ
ejpam-4758	12	3	usage	usage	NOUN
ejpam-4758	12	4	and	and	CCONJ
ejpam-4758	12	5	daily	daily	ADJ
ejpam-4758	12	6	need	need	NOUN
ejpam-4758	12	7	have	have	AUX
ejpam-4758	12	8	made	make	VERB
ejpam-4758	12	9	it	it	PRON
ejpam-4758	12	10	crucial	crucial	ADJ
ejpam-4758	12	11	for	for	SCONJ
ejpam-4758	12	12	manufacturers	manufacturer	NOUN
ejpam-4758	12	13	of	of	ADP
ejpam-4758	12	14	such	such	ADJ
ejpam-4758	12	15	devices	device	NOUN
ejpam-4758	12	16	to	to	PART
ejpam-4758	12	17	understand	understand	VERB
ejpam-4758	12	18	how	how	SCONJ
ejpam-4758	12	19	their	their	PRON
ejpam-4758	12	20	glass	glass	NOUN
ejpam-4758	12	21	screens	screen	NOUN
ejpam-4758	12	22	react	react	VERB
ejpam-4758	12	23	to	to	ADP
ejpam-4758	12	24	stresses	stress	NOUN
ejpam-4758	12	25	of	of	ADP
ejpam-4758	12	26	various	various	ADJ
ejpam-4758	12	27	kinds	kind	NOUN
ejpam-4758	12	28	,	,	PUNCT
ejpam-4758	12	29	especially	especially	ADV
ejpam-4758	12	30	for	for	ADP
ejpam-4758	12	31	hand	hand	NOUN
ejpam-4758	12	32	-	-	PUNCT
ejpam-4758	12	33	held	hold	VERB
ejpam-4758	12	34	devices	device	NOUN
ejpam-4758	12	35	because	because	SCONJ
ejpam-4758	12	36	of	of	ADP
ejpam-4758	12	37	their	their	PRON
ejpam-4758	12	38	extensive	extensive	ADJ
ejpam-4758	12	39	use	use	NOUN
ejpam-4758	12	40	[	[	X
ejpam-4758	12	41	1	1	NUM
ejpam-4758	12	42	,	,	PUNCT
ejpam-4758	12	43	4	4	NUM
ejpam-4758	12	44	,	,	PUNCT
ejpam-4758	12	45	6	6	NUM
ejpam-4758	12	46	,	,	PUNCT
ejpam-4758	12	47	14	14	NUM
ejpam-4758	12	48	,	,	PUNCT
ejpam-4758	12	49	17	17	NUM
ejpam-4758	12	50	]	]	PUNCT
ejpam-4758	12	51	.	.	PUNCT
ejpam-4758	13	1	to	to	PART
ejpam-4758	13	2	minimize	minimize	VERB
ejpam-4758	13	3	the	the	DET
ejpam-4758	13	4	lengthy	lengthy	ADJ
ejpam-4758	13	5	and	and	CCONJ
ejpam-4758	13	6	costly	costly	ADJ
ejpam-4758	13	7	lab	lab	NOUN
ejpam-4758	13	8	testing	testing	NOUN
ejpam-4758	13	9	experiments	experiment	NOUN
ejpam-4758	13	10	of	of	ADP
ejpam-4758	13	11	evaluating	evaluate	VERB
ejpam-4758	13	12	the	the	DET
ejpam-4758	13	13	sensitivity	sensitivity	NOUN
ejpam-4758	13	14	of	of	ADP
ejpam-4758	13	15	these	these	DET
ejpam-4758	13	16	devices	device	NOUN
ejpam-4758	13	17	to	to	ADP
ejpam-4758	13	18	accidents	accident	NOUN
ejpam-4758	13	19	such	such	ADJ
ejpam-4758	13	20	as	as	ADP
ejpam-4758	13	21	falling	fall	VERB
ejpam-4758	13	22	on	on	ADP
ejpam-4758	13	23	varies	varie	NOUN
ejpam-4758	13	24	surfaces	surface	NOUN
ejpam-4758	13	25	and	and	CCONJ
ejpam-4758	13	26	manually	manually	ADV
ejpam-4758	13	27	recording	record	VERB
ejpam-4758	13	28	the	the	DET
ejpam-4758	13	29	data	datum	NOUN
ejpam-4758	13	30	on	on	ADP
ejpam-4758	13	31	the	the	DET
ejpam-4758	13	32	responses	response	NOUN
ejpam-4758	13	33	and	and	CCONJ
ejpam-4758	13	34	stresses	stress	NOUN
ejpam-4758	13	35	generated	generate	VERB
ejpam-4758	13	36	,	,	PUNCT
ejpam-4758	13	37	bending	bend	VERB
ejpam-4758	13	38	models	model	NOUN
ejpam-4758	13	39	can	can	AUX
ejpam-4758	13	40	be	be	AUX
ejpam-4758	13	41	developed	develop	VERB
ejpam-4758	13	42	to	to	PART
ejpam-4758	13	43	predict	predict	VERB
ejpam-4758	13	44	the	the	DET
ejpam-4758	13	45	response	response	NOUN
ejpam-4758	13	46	and	and	CCONJ
ejpam-4758	13	47	stress	stress	NOUN
ejpam-4758	13	48	generated	generate	VERB
ejpam-4758	13	49	using	use	VERB
ejpam-4758	13	50	numerical	numerical	ADJ
ejpam-4758	13	51	computations	computation	NOUN
ejpam-4758	14	1	[	[	X
ejpam-4758	14	2	7	7	NUM
ejpam-4758	14	3	,	,	PUNCT
ejpam-4758	14	4	18	18	NUM
ejpam-4758	14	5	]	]	PUNCT
ejpam-4758	14	6	.	.	PUNCT
ejpam-4758	15	1	the	the	DET
ejpam-4758	15	2	model	model	NOUN
ejpam-4758	15	3	can	can	AUX
ejpam-4758	15	4	deliver	deliver	VERB
ejpam-4758	15	5	scientific	scientific	ADJ
ejpam-4758	15	6	expectations	expectation	NOUN
ejpam-4758	15	7	and	and	CCONJ
ejpam-4758	15	8	results	result	NOUN
ejpam-4758	15	9	in	in	ADP
ejpam-4758	15	10	a	a	DET
ejpam-4758	15	11	more	more	ADV
ejpam-4758	15	12	efficient	efficient	ADJ
ejpam-4758	15	13	and	and	CCONJ
ejpam-4758	15	14	∗corresponding	∗corresponde	VERB
ejpam-4758	15	15	author	author	NOUN
ejpam-4758	15	16	.	.	PUNCT
ejpam-4758	16	1	doi	doi	NOUN
ejpam-4758	16	2	:	:	PUNCT
ejpam-4758	16	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4758	https://doi.org/10.29020/nybg.ejpam.v16i2.4758	PRON
ejpam-4758	16	4	email	email	NOUN
ejpam-4758	16	5	addresses	address	NOUN
ejpam-4758	16	6	:	:	PUNCT
ejpam-4758	16	7	omar.alomari@gju.edu.jo	omar.alomari@gju.edu.jo	NUM
ejpam-4758	16	8	(	(	PUNCT
ejpam-4758	16	9	o.	o.	NOUN
ejpam-4758	16	10	alomari	alomari	PROPN
ejpam-4758	16	11	)	)	PUNCT
ejpam-4758	16	12	,	,	PUNCT
ejpam-4758	16	13	pavel.dubovskiy@stevens.edu	pavel.dubovskiy@stevens.edu	NOUN
ejpam-4758	16	14	(	(	PUNCT
ejpam-4758	16	15	p.	p.	NOUN
ejpam-4758	16	16	b.dubovski	b.dubovski	NOUN
ejpam-4758	16	17	)	)	PUNCT
ejpam-4758	16	18	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4758	16	19	1140	1140	NUM
ejpam-4758	17	1	©	©	PROPN
ejpam-4758	17	2	2023	2023	NUM
ejpam-4758	17	3	ejpam	ejpam	NOUN
ejpam-4758	17	4	all	all	DET
ejpam-4758	17	5	rights	right	NOUN
ejpam-4758	17	6	reserved	reserve	VERB
ejpam-4758	17	7	.	.	PUNCT
ejpam-4758	18	1	o.	o.	PROPN
ejpam-4758	18	2	alomari	alomari	PROPN
ejpam-4758	18	3	,	,	PUNCT
ejpam-4758	18	4	pavel	pavel	PROPN
ejpam-4758	18	5	b.dubovski	b.dubovski	PROPN
ejpam-4758	18	6	/	/	SYM
ejpam-4758	18	7	eur	eur	PROPN
ejpam-4758	18	8	.	.	PUNCT
ejpam-4758	19	1	j.	j.	PROPN
ejpam-4758	19	2	pure	pure	PROPN
ejpam-4758	19	3	appl	appl	PROPN
ejpam-4758	19	4	.	.	PROPN
ejpam-4758	19	5	math	math	PROPN
ejpam-4758	19	6	,	,	PUNCT
ejpam-4758	19	7	16	16	NUM
ejpam-4758	19	8	(	(	PUNCT
ejpam-4758	19	9	2	2	NUM
ejpam-4758	19	10	)	)	PUNCT
ejpam-4758	19	11	(	(	PUNCT
ejpam-4758	19	12	2023	2023	NUM
ejpam-4758	19	13	)	)	PUNCT
ejpam-4758	19	14	,	,	PUNCT
ejpam-4758	19	15	1140	1140	NUM
ejpam-4758	19	16	-	-	SYM
ejpam-4758	19	17	1153	1153	NUM
ejpam-4758	19	18	1141	1141	NUM
ejpam-4758	19	19	cost	cost	NOUN
ejpam-4758	19	20	-	-	PUNCT
ejpam-4758	19	21	effective	effective	ADJ
ejpam-4758	19	22	design	design	NOUN
ejpam-4758	19	23	for	for	ADP
ejpam-4758	19	24	new	new	ADJ
ejpam-4758	19	25	gadgets	gadget	NOUN
ejpam-4758	19	26	.	.	PUNCT
ejpam-4758	20	1	a	a	DET
ejpam-4758	20	2	general	general	ADJ
ejpam-4758	20	3	model	model	NOUN
ejpam-4758	20	4	to	to	PART
ejpam-4758	20	5	describe	describe	VERB
ejpam-4758	20	6	touchscreens	touchscreen	NOUN
ejpam-4758	20	7	is	be	AUX
ejpam-4758	20	8	presented	present	VERB
ejpam-4758	20	9	in	in	ADP
ejpam-4758	20	10	figure	figure	NOUN
ejpam-4758	20	11	1	1	NUM
ejpam-4758	20	12	.	.	PUNCT
ejpam-4758	21	1	a	a	DET
ejpam-4758	21	2	framework	framework	NOUN
ejpam-4758	21	3	wherein	wherein	SCONJ
ejpam-4758	21	4	two	two	NUM
ejpam-4758	21	5	beams	beam	NOUN
ejpam-4758	21	6	are	be	AUX
ejpam-4758	21	7	joined	join	VERB
ejpam-4758	21	8	by	by	ADP
ejpam-4758	21	9	persistent	persistent	ADJ
ejpam-4758	21	10	elastic	elastic	ADJ
ejpam-4758	21	11	layer	layer	NOUN
ejpam-4758	21	12	of	of	ADP
ejpam-4758	21	13	stiffness	stiffness	NOUN
ejpam-4758	21	14	k.	k.	PROPN
ejpam-4758	22	1	the	the	DET
ejpam-4758	22	2	two	two	NUM
ejpam-4758	22	3	beams	beam	NOUN
ejpam-4758	22	4	are	be	AUX
ejpam-4758	22	5	basically	basically	ADV
ejpam-4758	22	6	bolstered	bolster	VERB
ejpam-4758	22	7	at	at	ADP
ejpam-4758	22	8	the	the	DET
ejpam-4758	22	9	edges	edge	NOUN
ejpam-4758	22	10	.	.	PUNCT
ejpam-4758	23	1	the	the	DET
ejpam-4758	23	2	top	top	ADJ
ejpam-4758	23	3	beam	beam	NOUN
ejpam-4758	23	4	is	be	AUX
ejpam-4758	23	5	loaded	load	VERB
ejpam-4758	23	6	by	by	ADP
ejpam-4758	23	7	a	a	DET
ejpam-4758	23	8	point	point	NOUN
ejpam-4758	23	9	force	force	NOUN
ejpam-4758	23	10	f	f	PROPN
ejpam-4758	23	11	.	.	PUNCT
ejpam-4758	24	1	in	in	ADP
ejpam-4758	24	2	this	this	DET
ejpam-4758	24	3	paper	paper	NOUN
ejpam-4758	24	4	,	,	PUNCT
ejpam-4758	24	5	we	we	PRON
ejpam-4758	24	6	develop	develop	VERB
ejpam-4758	24	7	and	and	CCONJ
ejpam-4758	24	8	implement	implement	VERB
ejpam-4758	24	9	a	a	DET
ejpam-4758	24	10	numerical	numerical	ADJ
ejpam-4758	24	11	scheme	scheme	NOUN
ejpam-4758	24	12	to	to	PART
ejpam-4758	24	13	represent	represent	VERB
ejpam-4758	24	14	the	the	DET
ejpam-4758	24	15	model	model	NOUN
ejpam-4758	24	16	in	in	ADP
ejpam-4758	24	17	figure	figure	NOUN
ejpam-4758	24	18	1	1	NUM
ejpam-4758	24	19	in	in	ADP
ejpam-4758	24	20	non	non	ADJ
ejpam-4758	24	21	-	-	ADJ
ejpam-4758	24	22	denominational	denominational	ADJ
ejpam-4758	24	23	approach	approach	NOUN
ejpam-4758	24	24	using	use	VERB
ejpam-4758	24	25	the	the	DET
ejpam-4758	24	26	one	one	NUM
ejpam-4758	24	27	-	-	PUNCT
ejpam-4758	24	28	dimensional	dimensional	ADJ
ejpam-4758	24	29	euler	euler	NOUN
ejpam-4758	24	30	-	-	PUNCT
ejpam-4758	24	31	bernoulli	bernoulli	PROPN
ejpam-4758	24	32	beam	beam	NOUN
ejpam-4758	24	33	theory	theory	NOUN
ejpam-4758	24	34	for	for	ADP
ejpam-4758	24	35	bending	bend	VERB
ejpam-4758	24	36	boundary	boundary	ADJ
ejpam-4758	24	37	value	value	NOUN
ejpam-4758	24	38	problem	problem	NOUN
ejpam-4758	24	39	[	[	X
ejpam-4758	24	40	5	5	NUM
ejpam-4758	24	41	,	,	PUNCT
ejpam-4758	24	42	8	8	NUM
ejpam-4758	24	43	,	,	PUNCT
ejpam-4758	24	44	11	11	NUM
ejpam-4758	24	45	,	,	PUNCT
ejpam-4758	24	46	12	12	NUM
ejpam-4758	24	47	]	]	PUNCT
ejpam-4758	24	48	.	.	PUNCT
ejpam-4758	25	1	we	we	PRON
ejpam-4758	25	2	utilize	utilize	VERB
ejpam-4758	25	3	this	this	DET
ejpam-4758	25	4	scheme	scheme	NOUN
ejpam-4758	25	5	in	in	ADP
ejpam-4758	25	6	two	two	NUM
ejpam-4758	25	7	ways	way	NOUN
ejpam-4758	25	8	:	:	PUNCT
ejpam-4758	25	9	first	first	ADV
ejpam-4758	25	10	we	we	PRON
ejpam-4758	25	11	consider	consider	VERB
ejpam-4758	25	12	the	the	DET
ejpam-4758	25	13	inverse	inverse	NOUN
ejpam-4758	25	14	problem	problem	NOUN
ejpam-4758	25	15	:	:	PUNCT
ejpam-4758	25	16	given	give	VERB
ejpam-4758	25	17	the	the	DET
ejpam-4758	25	18	spring	spring	NOUN
ejpam-4758	25	19	stiffness	stiffness	NOUN
ejpam-4758	25	20	k	k	PROPN
ejpam-4758	25	21	and	and	CCONJ
ejpam-4758	25	22	known	know	VERB
ejpam-4758	25	23	finite	finite	ADJ
ejpam-4758	25	24	measurements	measurement	NOUN
ejpam-4758	25	25	of	of	ADP
ejpam-4758	25	26	the	the	DET
ejpam-4758	25	27	resulting	result	VERB
ejpam-4758	25	28	deflections	deflection	NOUN
ejpam-4758	25	29	v1	v1	NOUN
ejpam-4758	25	30	and	and	CCONJ
ejpam-4758	25	31	v2	v2	NOUN
ejpam-4758	25	32	for	for	ADP
ejpam-4758	25	33	the	the	DET
ejpam-4758	25	34	upper	upper	ADJ
ejpam-4758	25	35	and	and	CCONJ
ejpam-4758	25	36	lower	low	ADJ
ejpam-4758	25	37	beams	beam	NOUN
ejpam-4758	25	38	respectively	respectively	ADV
ejpam-4758	25	39	,	,	PUNCT
ejpam-4758	25	40	then	then	ADV
ejpam-4758	25	41	we	we	PRON
ejpam-4758	25	42	find	find	VERB
ejpam-4758	25	43	the	the	DET
ejpam-4758	25	44	imposed	impose	VERB
ejpam-4758	25	45	force	force	NOUN
ejpam-4758	25	46	f	f	PROPN
ejpam-4758	25	47	.	.	PUNCT
ejpam-4758	26	1	secondly	secondly	ADV
ejpam-4758	26	2	,	,	PUNCT
ejpam-4758	26	3	we	we	PRON
ejpam-4758	26	4	use	use	VERB
ejpam-4758	26	5	given	give	VERB
ejpam-4758	26	6	forces	force	NOUN
ejpam-4758	26	7	f(x	f(x	PROPN
ejpam-4758	26	8	)	)	PUNCT
ejpam-4758	26	9	and	and	CCONJ
ejpam-4758	26	10	finite	finite	ADJ
ejpam-4758	26	11	measurements	measurement	NOUN
ejpam-4758	26	12	of	of	ADP
ejpam-4758	26	13	the	the	DET
ejpam-4758	26	14	resulting	result	VERB
ejpam-4758	26	15	deflections	deflection	NOUN
ejpam-4758	26	16	v1(x	v1(x	NUM
ejpam-4758	26	17	)	)	PUNCT
ejpam-4758	26	18	and	and	CCONJ
ejpam-4758	26	19	v2(x	v2(x	X
ejpam-4758	26	20	)	)	PUNCT
ejpam-4758	26	21	to	to	PART
ejpam-4758	26	22	find	find	VERB
ejpam-4758	26	23	the	the	DET
ejpam-4758	26	24	spring	spring	NOUN
ejpam-4758	26	25	stiffness	stiffness	NOUN
ejpam-4758	26	26	k.	k.	PROPN
ejpam-4758	27	1	l	l	PROPN
ejpam-4758	27	2	f	f	PROPN
ejpam-4758	27	3	e1	e1	PROPN
ejpam-4758	27	4	,	,	PUNCT
ejpam-4758	27	5	v1	v1	NOUN
ejpam-4758	27	6	,	,	PUNCT
ejpam-4758	27	7	ρ1	ρ1	NOUN
ejpam-4758	27	8	,	,	PUNCT
ejpam-4758	27	9	i1	i1	PROPN
ejpam-4758	27	10	e2	e2	PROPN
ejpam-4758	27	11	,	,	PUNCT
ejpam-4758	27	12	v2	v2	PROPN
ejpam-4758	27	13	,	,	PUNCT
ejpam-4758	27	14	ρ2	ρ2	NOUN
ejpam-4758	27	15	,	,	PUNCT
ejpam-4758	27	16	i2	i2	NOUN
ejpam-4758	27	17	figure	figure	NOUN
ejpam-4758	27	18	1	1	NUM
ejpam-4758	27	19	:	:	PUNCT
ejpam-4758	27	20	representation	representation	NOUN
ejpam-4758	27	21	of	of	ADP
ejpam-4758	27	22	the	the	DET
ejpam-4758	27	23	physical	physical	ADJ
ejpam-4758	27	24	problem	problem	NOUN
ejpam-4758	27	25	following	follow	VERB
ejpam-4758	27	26	reference	reference	NOUN
ejpam-4758	27	27	[	[	X
ejpam-4758	27	28	10	10	NUM
ejpam-4758	27	29	]	]	PUNCT
ejpam-4758	27	30	and	and	CCONJ
ejpam-4758	27	31	to	to	PART
ejpam-4758	27	32	avoid	avoid	VERB
ejpam-4758	27	33	the	the	DET
ejpam-4758	27	34	complication	complication	NOUN
ejpam-4758	27	35	of	of	ADP
ejpam-4758	27	36	the	the	DET
ejpam-4758	27	37	shear	shear	NOUN
ejpam-4758	27	38	stress	stress	NOUN
ejpam-4758	27	39	imposed	impose	VERB
ejpam-4758	27	40	by	by	ADP
ejpam-4758	27	41	the	the	DET
ejpam-4758	27	42	two	two	NUM
ejpam-4758	27	43	dimensional	dimensional	ADJ
ejpam-4758	27	44	nature	nature	NOUN
ejpam-4758	27	45	of	of	ADP
ejpam-4758	27	46	the	the	DET
ejpam-4758	27	47	plates	plate	NOUN
ejpam-4758	27	48	,	,	PUNCT
ejpam-4758	27	49	we	we	PRON
ejpam-4758	27	50	consider	consider	VERB
ejpam-4758	27	51	the	the	DET
ejpam-4758	27	52	one	one	NUM
ejpam-4758	27	53	-	-	PUNCT
ejpam-4758	27	54	dimensional	dimensional	ADJ
ejpam-4758	27	55	cross	cross	NOUN
ejpam-4758	27	56	-	-	NOUN
ejpam-4758	27	57	section	section	NOUN
ejpam-4758	27	58	of	of	ADP
ejpam-4758	27	59	the	the	DET
ejpam-4758	27	60	full	full	ADJ
ejpam-4758	27	61	problem	problem	NOUN
ejpam-4758	27	62	,	,	PUNCT
ejpam-4758	27	63	where	where	SCONJ
ejpam-4758	27	64	we	we	PRON
ejpam-4758	27	65	assume	assume	VERB
ejpam-4758	27	66	that	that	SCONJ
ejpam-4758	27	67	the	the	DET
ejpam-4758	27	68	deflection	deflection	NOUN
ejpam-4758	27	69	of	of	ADP
ejpam-4758	27	70	the	the	DET
ejpam-4758	27	71	glass	glass	NOUN
ejpam-4758	27	72	plates	plate	NOUN
ejpam-4758	27	73	can	can	AUX
ejpam-4758	27	74	be	be	AUX
ejpam-4758	27	75	described	describe	VERB
ejpam-4758	27	76	by	by	ADP
ejpam-4758	27	77	beams	beam	NOUN
ejpam-4758	27	78	.	.	PUNCT
ejpam-4758	28	1	therefore	therefore	ADV
ejpam-4758	28	2	,	,	PUNCT
ejpam-4758	28	3	we	we	PRON
ejpam-4758	28	4	modeled	model	VERB
ejpam-4758	28	5	the	the	DET
ejpam-4758	28	6	edge	edge	NOUN
ejpam-4758	28	7	of	of	ADP
ejpam-4758	28	8	the	the	DET
ejpam-4758	28	9	plate	plate	NOUN
ejpam-4758	28	10	with	with	ADP
ejpam-4758	28	11	a	a	DET
ejpam-4758	28	12	one	one	NUM
ejpam-4758	28	13	-	-	PUNCT
ejpam-4758	28	14	dimensional	dimensional	ADJ
ejpam-4758	28	15	fixable	fixable	ADJ
ejpam-4758	28	16	beam	beam	NOUN
ejpam-4758	28	17	,	,	PUNCT
ejpam-4758	28	18	assuming	assume	VERB
ejpam-4758	28	19	the	the	DET
ejpam-4758	28	20	same	same	ADJ
ejpam-4758	28	21	bending	bending	NOUN
ejpam-4758	28	22	from	from	ADP
ejpam-4758	28	23	all	all	DET
ejpam-4758	28	24	parts	part	NOUN
ejpam-4758	28	25	of	of	ADP
ejpam-4758	28	26	the	the	DET
ejpam-4758	28	27	plate	plate	NOUN
ejpam-4758	28	28	without	without	ADP
ejpam-4758	28	29	any	any	DET
ejpam-4758	28	30	shear	shear	NOUN
ejpam-4758	28	31	stress	stress	NOUN
ejpam-4758	28	32	.	.	PUNCT
ejpam-4758	29	1	we	we	PRON
ejpam-4758	29	2	use	use	VERB
ejpam-4758	29	3	euler	euler	NOUN
ejpam-4758	29	4	-	-	PUNCT
ejpam-4758	29	5	bernoulli	bernoulli	PROPN
ejpam-4758	29	6	beam	beam	NOUN
ejpam-4758	29	7	theory	theory	NOUN
ejpam-4758	29	8	for	for	ADP
ejpam-4758	29	9	the	the	DET
ejpam-4758	29	10	transverse	transverse	NOUN
ejpam-4758	29	11	displacements	displacement	NOUN
ejpam-4758	29	12	v1(x	v1(x	VERB
ejpam-4758	29	13	,	,	PUNCT
ejpam-4758	29	14	t	t	PROPN
ejpam-4758	29	15	)	)	PUNCT
ejpam-4758	29	16	and	and	CCONJ
ejpam-4758	29	17	v2(x	v2(x	PROPN
ejpam-4758	29	18	,	,	PUNCT
ejpam-4758	29	19	t	t	PROPN
ejpam-4758	29	20	)	)	PUNCT
ejpam-4758	29	21	(	(	PUNCT
ejpam-4758	29	22	vertical	vertical	ADJ
ejpam-4758	29	23	displacements	displacement	NOUN
ejpam-4758	29	24	)	)	PUNCT
ejpam-4758	29	25	of	of	ADP
ejpam-4758	29	26	two	two	NUM
ejpam-4758	29	27	simply	simply	ADV
ejpam-4758	29	28	supported	support	VERB
ejpam-4758	29	29	one	one	NUM
ejpam-4758	29	30	-	-	PUNCT
ejpam-4758	29	31	dimensional	dimensional	ADJ
ejpam-4758	29	32	beams	beam	NOUN
ejpam-4758	29	33	of	of	ADP
ejpam-4758	29	34	length	length	NOUN
ejpam-4758	29	35	l	l	NOUN
ejpam-4758	29	36	,	,	PUNCT
ejpam-4758	29	37	thickness	thickness	NOUN
ejpam-4758	29	38	h	h	NOUN
ejpam-4758	29	39	,	,	PUNCT
ejpam-4758	29	40	density	density	NOUN
ejpam-4758	29	41	ρ	ρ	NOUN
ejpam-4758	29	42	,	,	PUNCT
ejpam-4758	29	43	flexural	flexural	ADJ
ejpam-4758	29	44	rigidity	rigidity	NOUN
ejpam-4758	29	45	,	,	PUNCT
ejpam-4758	29	46	i	i	PRON
ejpam-4758	29	47	the	the	DET
ejpam-4758	29	48	moment	moment	NOUN
ejpam-4758	29	49	of	of	ADP
ejpam-4758	29	50	inertia	inertia	NOUN
ejpam-4758	29	51	,	,	PUNCT
ejpam-4758	29	52	and	and	CCONJ
ejpam-4758	29	53	e	e	NOUN
ejpam-4758	29	54	is	be	AUX
ejpam-4758	29	55	young	young	ADJ
ejpam-4758	29	56	’s	’s	PART
ejpam-4758	29	57	modulus	modulus	NOUN
ejpam-4758	29	58	,	,	PUNCT
ejpam-4758	29	59	for	for	ADP
ejpam-4758	29	60	the	the	DET
ejpam-4758	29	61	top	top	ADJ
ejpam-4758	29	62	beam	beam	NOUN
ejpam-4758	29	63	and	and	CCONJ
ejpam-4758	29	64	for	for	ADP
ejpam-4758	29	65	the	the	DET
ejpam-4758	29	66	lower	low	ADJ
ejpam-4758	29	67	beam	beam	NOUN
ejpam-4758	29	68	(	(	PUNCT
ejpam-4758	29	69	as	as	SCONJ
ejpam-4758	29	70	shown	show	VERB
ejpam-4758	29	71	in	in	ADP
ejpam-4758	29	72	figure	figure	NOUN
ejpam-4758	29	73	1	1	NUM
ejpam-4758	29	74	)	)	PUNCT
ejpam-4758	29	75	,	,	PUNCT
ejpam-4758	29	76	considering	consider	VERB
ejpam-4758	29	77	the	the	DET
ejpam-4758	29	78	two	two	NUM
ejpam-4758	29	79	elastic	elastic	ADJ
ejpam-4758	29	80	beams	beam	NOUN
ejpam-4758	29	81	joined	join	VERB
ejpam-4758	29	82	by	by	ADP
ejpam-4758	29	83	continuous	continuous	ADJ
ejpam-4758	29	84	elastic	elastic	ADJ
ejpam-4758	29	85	layer	layer	NOUN
ejpam-4758	29	86	of	of	ADP
ejpam-4758	29	87	stiffness	stiffness	NOUN
ejpam-4758	29	88	k.	k.	PROPN
ejpam-4758	30	1	both	both	DET
ejpam-4758	30	2	beams	beam	NOUN
ejpam-4758	30	3	are	be	AUX
ejpam-4758	30	4	pinned	pin	VERB
ejpam-4758	30	5	to	to	ADP
ejpam-4758	30	6	a	a	DET
ejpam-4758	30	7	rigid	rigid	ADJ
ejpam-4758	30	8	frame	frame	NOUN
ejpam-4758	30	9	along	along	ADP
ejpam-4758	30	10	the	the	DET
ejpam-4758	30	11	boundary	boundary	NOUN
ejpam-4758	30	12	.	.	PUNCT
ejpam-4758	31	1	the	the	DET
ejpam-4758	31	2	top	top	ADJ
ejpam-4758	31	3	beam	beam	NOUN
ejpam-4758	31	4	is	be	AUX
ejpam-4758	31	5	loaded	load	VERB
ejpam-4758	31	6	by	by	ADP
ejpam-4758	31	7	a	a	DET
ejpam-4758	31	8	point	point	NOUN
ejpam-4758	31	9	force	force	NOUN
ejpam-4758	31	10	f	f	PROPN
ejpam-4758	31	11	.	.	PUNCT
ejpam-4758	32	1	the	the	DET
ejpam-4758	32	2	assumption	assumption	NOUN
ejpam-4758	32	3	of	of	ADP
ejpam-4758	32	4	point	point	NOUN
ejpam-4758	32	5	load	load	NOUN
ejpam-4758	32	6	is	be	AUX
ejpam-4758	32	7	based	base	VERB
ejpam-4758	32	8	on	on	ADP
ejpam-4758	32	9	the	the	DET
ejpam-4758	32	10	fact	fact	NOUN
ejpam-4758	32	11	the	the	DET
ejpam-4758	32	12	affected	affected	ADJ
ejpam-4758	32	13	area	area	NOUN
ejpam-4758	32	14	by	by	ADP
ejpam-4758	32	15	the	the	DET
ejpam-4758	32	16	force	force	NOUN
ejpam-4758	32	17	is	be	AUX
ejpam-4758	32	18	much	much	ADV
ejpam-4758	32	19	smaller	small	ADJ
ejpam-4758	32	20	than	than	ADP
ejpam-4758	32	21	the	the	DET
ejpam-4758	32	22	whole	whole	ADJ
ejpam-4758	32	23	area	area	NOUN
ejpam-4758	32	24	of	of	ADP
ejpam-4758	32	25	the	the	DET
ejpam-4758	32	26	plates	plate	NOUN
ejpam-4758	32	27	.	.	PUNCT
ejpam-4758	33	1	the	the	DET
ejpam-4758	33	2	governing	govern	VERB
ejpam-4758	33	3	set	set	NOUN
ejpam-4758	33	4	of	of	ADP
ejpam-4758	33	5	equations	equation	NOUN
ejpam-4758	33	6	for	for	ADP
ejpam-4758	33	7	such	such	ADJ
ejpam-4758	33	8	system	system	NOUN
ejpam-4758	33	9	in	in	ADP
ejpam-4758	33	10	this	this	DET
ejpam-4758	33	11	case	case	NOUN
ejpam-4758	33	12	is	be	AUX
ejpam-4758	33	13	given	give	VERB
ejpam-4758	33	14	as	as	ADP
ejpam-4758	33	15	:	:	PUNCT
ejpam-4758	33	16	ρ1h1v1tt	ρ1h1v1tt	PROPN
ejpam-4758	33	17	=	=	SYM
ejpam-4758	33	18	−(e1i1v1xx)xx	−(e1i1v1xx)xx	PROPN
ejpam-4758	33	19	+	+	NUM
ejpam-4758	33	20	k(v2	k(v2	NOUN
ejpam-4758	33	21	−	−	PROPN
ejpam-4758	33	22	v1)−	v1)−	PROPN
ejpam-4758	33	23	f(x	f(x	PROPN
ejpam-4758	33	24	,	,	PUNCT
ejpam-4758	33	25	t	t	PROPN
ejpam-4758	33	26	)	)	PUNCT
ejpam-4758	33	27	(	(	PUNCT
ejpam-4758	33	28	1	1	X
ejpam-4758	33	29	)	)	PUNCT
ejpam-4758	33	30	ρ2h2v2tt	ρ2h2v2tt	PROPN
ejpam-4758	33	31	=	=	SYM
ejpam-4758	33	32	−(e2i2v2xx)xx	−(e2i2v2xx)xx	PROPN
ejpam-4758	33	33	−	−	PROPN
ejpam-4758	33	34	k(v2	k(v2	NOUN
ejpam-4758	33	35	−	−	PROPN
ejpam-4758	33	36	v1	v1	PROPN
ejpam-4758	33	37	)	)	PUNCT
ejpam-4758	33	38	,	,	PUNCT
ejpam-4758	33	39	(	(	PUNCT
ejpam-4758	33	40	2	2	X
ejpam-4758	33	41	)	)	PUNCT
ejpam-4758	33	42	our	our	PRON
ejpam-4758	33	43	interest	interest	NOUN
ejpam-4758	33	44	will	will	AUX
ejpam-4758	33	45	be	be	AUX
ejpam-4758	33	46	in	in	ADP
ejpam-4758	33	47	the	the	DET
ejpam-4758	33	48	response	response	NOUN
ejpam-4758	33	49	to	to	ADP
ejpam-4758	33	50	external	external	ADJ
ejpam-4758	33	51	load	load	NOUN
ejpam-4758	33	52	f(x	f(x	PROPN
ejpam-4758	33	53	,	,	PUNCT
ejpam-4758	33	54	t	t	PROPN
ejpam-4758	33	55	)	)	PUNCT
ejpam-4758	33	56	on	on	ADP
ejpam-4758	33	57	the	the	DET
ejpam-4758	33	58	upper	upper	ADJ
ejpam-4758	33	59	beam	beam	NOUN
ejpam-4758	33	60	.	.	PUNCT
ejpam-4758	34	1	the	the	DET
ejpam-4758	34	2	o.	o.	PROPN
ejpam-4758	34	3	alomari	alomari	PROPN
ejpam-4758	34	4	,	,	PUNCT
ejpam-4758	34	5	pavel	pavel	PROPN
ejpam-4758	34	6	b.dubovski	b.dubovski	PROPN
ejpam-4758	34	7	/	/	SYM
ejpam-4758	34	8	eur	eur	PROPN
ejpam-4758	34	9	.	.	PUNCT
ejpam-4758	35	1	j.	j.	PROPN
ejpam-4758	35	2	pure	pure	PROPN
ejpam-4758	35	3	appl	appl	PROPN
ejpam-4758	35	4	.	.	PROPN
ejpam-4758	35	5	math	math	PROPN
ejpam-4758	35	6	,	,	PUNCT
ejpam-4758	35	7	16	16	NUM
ejpam-4758	35	8	(	(	PUNCT
ejpam-4758	35	9	2	2	NUM
ejpam-4758	35	10	)	)	PUNCT
ejpam-4758	35	11	(	(	PUNCT
ejpam-4758	35	12	2023	2023	NUM
ejpam-4758	35	13	)	)	PUNCT
ejpam-4758	35	14	,	,	PUNCT
ejpam-4758	35	15	1140	1140	NUM
ejpam-4758	35	16	-	-	SYM
ejpam-4758	35	17	1153	1153	NUM
ejpam-4758	35	18	1142	1142	NUM
ejpam-4758	35	19	boundary	boundary	ADJ
ejpam-4758	35	20	conditions	condition	NOUN
ejpam-4758	35	21	are	be	AUX
ejpam-4758	35	22	based	base	VERB
ejpam-4758	35	23	on	on	ADP
ejpam-4758	35	24	the	the	DET
ejpam-4758	35	25	assumption	assumption	NOUN
ejpam-4758	35	26	that	that	SCONJ
ejpam-4758	35	27	the	the	DET
ejpam-4758	35	28	plates	plate	NOUN
ejpam-4758	35	29	are	be	AUX
ejpam-4758	35	30	pinned	pin	VERB
ejpam-4758	35	31	to	to	ADP
ejpam-4758	35	32	a	a	DET
ejpam-4758	35	33	rigid	rigid	ADJ
ejpam-4758	35	34	frame	frame	NOUN
ejpam-4758	35	35	along	along	ADP
ejpam-4758	35	36	the	the	DET
ejpam-4758	35	37	boundary	boundary	NOUN
ejpam-4758	35	38	which	which	PRON
ejpam-4758	35	39	maintains	maintain	VERB
ejpam-4758	35	40	a	a	DET
ejpam-4758	35	41	fixed	fix	VERB
ejpam-4758	35	42	separation	separation	NOUN
ejpam-4758	35	43	between	between	ADP
ejpam-4758	35	44	them	they	PRON
ejpam-4758	35	45	:	:	PUNCT
ejpam-4758	35	46	v1(0	v1(0	PROPN
ejpam-4758	35	47	,	,	PUNCT
ejpam-4758	35	48	t	t	PROPN
ejpam-4758	35	49	)	)	PUNCT
ejpam-4758	35	50	=	=	SYM
ejpam-4758	36	1	v1(l	v1(l	NUM
ejpam-4758	36	2	,	,	PUNCT
ejpam-4758	36	3	t	t	PROPN
ejpam-4758	36	4	)	)	PUNCT
ejpam-4758	37	1	=	=	VERB
ejpam-4758	37	2	v2(0	v2(0	PROPN
ejpam-4758	37	3	,	,	PUNCT
ejpam-4758	37	4	t	t	PROPN
ejpam-4758	37	5	)	)	PUNCT
ejpam-4758	37	6	=	=	SYM
ejpam-4758	38	1	v2(l	v2(l	PROPN
ejpam-4758	38	2	,	,	PUNCT
ejpam-4758	38	3	t	t	PROPN
ejpam-4758	38	4	)	)	PUNCT
ejpam-4758	38	5	=	=	SYM
ejpam-4758	38	6	0	0	NUM
ejpam-4758	38	7	,	,	PUNCT
ejpam-4758	38	8	(	(	PUNCT
ejpam-4758	38	9	3	3	X
ejpam-4758	38	10	)	)	PUNCT
ejpam-4758	38	11	v1xx(0	v1xx(0	PROPN
ejpam-4758	38	12	,	,	PUNCT
ejpam-4758	38	13	t	t	PROPN
ejpam-4758	38	14	)	)	PUNCT
ejpam-4758	38	15	=	=	SYM
ejpam-4758	39	1	v1xx(l	v1xx(l	PROPN
ejpam-4758	39	2	,	,	PUNCT
ejpam-4758	39	3	t	t	PROPN
ejpam-4758	39	4	)	)	PUNCT
ejpam-4758	39	5	=	=	SYM
ejpam-4758	39	6	v2xx(0	v2xx(0	PROPN
ejpam-4758	39	7	,	,	PUNCT
ejpam-4758	39	8	t	t	PROPN
ejpam-4758	39	9	)	)	PUNCT
ejpam-4758	39	10	=	=	PUNCT
ejpam-4758	40	1	v2xx(l	v2xx(l	PROPN
ejpam-4758	40	2	,	,	PUNCT
ejpam-4758	40	3	t	t	PROPN
ejpam-4758	40	4	)	)	PUNCT
ejpam-4758	40	5	=	=	SYM
ejpam-4758	40	6	0	0	NUM
ejpam-4758	40	7	,	,	PUNCT
ejpam-4758	40	8	(	(	PUNCT
ejpam-4758	40	9	4	4	X
ejpam-4758	40	10	)	)	PUNCT
ejpam-4758	40	11	the	the	DET
ejpam-4758	40	12	problem	problem	NOUN
ejpam-4758	40	13	of	of	ADP
ejpam-4758	40	14	steady	steady	ADJ
ejpam-4758	40	15	state	state	NOUN
ejpam-4758	40	16	solution	solution	NOUN
ejpam-4758	40	17	of	of	ADP
ejpam-4758	40	18	the	the	DET
ejpam-4758	40	19	one	one	NUM
ejpam-4758	40	20	-	-	PUNCT
ejpam-4758	40	21	dimensional	dimensional	ADJ
ejpam-4758	40	22	,	,	PUNCT
ejpam-4758	40	23	two	two	NUM
ejpam-4758	40	24	beam	beam	NOUN
ejpam-4758	40	25	system	system	NOUN
ejpam-4758	40	26	was	be	AUX
ejpam-4758	40	27	discussed	discuss	VERB
ejpam-4758	40	28	an	an	DET
ejpam-4758	40	29	analyzed	analyze	VERB
ejpam-4758	40	30	by	by	ADP
ejpam-4758	40	31	adriazola	adriazola	PROPN
ejpam-4758	40	32	et	et	PROPN
ejpam-4758	40	33	al	al	PROPN
ejpam-4758	40	34	.	.	PUNCT
ejpam-4758	41	1	[	[	X
ejpam-4758	41	2	10	10	NUM
ejpam-4758	41	3	]	]	PUNCT
ejpam-4758	41	4	,	,	PUNCT
ejpam-4758	41	5	they	they	PRON
ejpam-4758	41	6	solved	solve	VERB
ejpam-4758	41	7	the	the	DET
ejpam-4758	41	8	forward	forward	ADJ
ejpam-4758	41	9	problem	problem	NOUN
ejpam-4758	41	10	using	use	VERB
ejpam-4758	41	11	analysis	analysis	NOUN
ejpam-4758	41	12	of	of	ADP
ejpam-4758	41	13	green	green	PROPN
ejpam-4758	41	14	’s	’s	PART
ejpam-4758	41	15	functions	function	NOUN
ejpam-4758	41	16	for	for	ADP
ejpam-4758	41	17	system	system	NOUN
ejpam-4758	41	18	response	response	NOUN
ejpam-4758	41	19	to	to	PART
ejpam-4758	41	20	point	point	VERB
ejpam-4758	41	21	loads	load	NOUN
ejpam-4758	41	22	,	,	PUNCT
ejpam-4758	41	23	they	they	PRON
ejpam-4758	41	24	also	also	ADV
ejpam-4758	41	25	solved	solve	VERB
ejpam-4758	41	26	the	the	DET
ejpam-4758	41	27	inverse	inverse	NOUN
ejpam-4758	41	28	problem	problem	NOUN
ejpam-4758	41	29	of	of	ADP
ejpam-4758	41	30	recovering	recover	VERB
ejpam-4758	41	31	the	the	DET
ejpam-4758	41	32	spring	spring	NOUN
ejpam-4758	41	33	stiffness	stiffness	NOUN
ejpam-4758	41	34	using	use	VERB
ejpam-4758	41	35	fourier	fourier	ADJ
ejpam-4758	41	36	decomposition	decomposition	NOUN
ejpam-4758	41	37	.	.	PUNCT
ejpam-4758	42	1	in	in	ADP
ejpam-4758	42	2	this	this	DET
ejpam-4758	42	3	paper	paper	NOUN
ejpam-4758	42	4	we	we	PRON
ejpam-4758	42	5	consider	consider	VERB
ejpam-4758	42	6	the	the	DET
ejpam-4758	42	7	same	same	ADJ
ejpam-4758	42	8	time	time	NOUN
ejpam-4758	42	9	-	-	PUNCT
ejpam-4758	42	10	independent	independent	ADJ
ejpam-4758	42	11	(	(	PUNCT
ejpam-4758	42	12	stationary	stationary	ADJ
ejpam-4758	42	13	)	)	PUNCT
ejpam-4758	42	14	problem	problem	NOUN
ejpam-4758	42	15	,	,	PUNCT
ejpam-4758	42	16	therefore	therefore	ADV
ejpam-4758	42	17	the	the	DET
ejpam-4758	42	18	system	system	NOUN
ejpam-4758	42	19	above	above	ADV
ejpam-4758	42	20	,	,	PUNCT
ejpam-4758	42	21	(	(	PUNCT
ejpam-4758	42	22	1),(2	1),(2	PROPN
ejpam-4758	42	23	)	)	PUNCT
ejpam-4758	42	24	,	,	PUNCT
ejpam-4758	42	25	(	(	PUNCT
ejpam-4758	42	26	3	3	NUM
ejpam-4758	42	27	)	)	PUNCT
ejpam-4758	42	28	,	,	PUNCT
ejpam-4758	42	29	and	and	CCONJ
ejpam-4758	42	30	(	(	PUNCT
ejpam-4758	42	31	4	4	X
ejpam-4758	42	32	)	)	PUNCT
ejpam-4758	42	33	becomes	become	VERB
ejpam-4758	42	34	:	:	PUNCT
ejpam-4758	42	35	−e1i1v	−e1i1v	PROPN
ejpam-4758	42	36	(	(	PUNCT
ejpam-4758	42	37	4	4	NUM
ejpam-4758	42	38	)	)	SYM
ejpam-4758	42	39	1	1	NUM
ejpam-4758	43	1	+	+	NUM
ejpam-4758	43	2	k(v2	k(v2	NOUN
ejpam-4758	43	3	−	−	PROPN
ejpam-4758	43	4	v1	v1	NOUN
ejpam-4758	43	5	)	)	PUNCT
ejpam-4758	43	6	=	=	SYM
ejpam-4758	43	7	f(x	f(x	PROPN
ejpam-4758	43	8	)	)	PUNCT
ejpam-4758	43	9	,	,	PUNCT
ejpam-4758	43	10	(	(	PUNCT
ejpam-4758	43	11	5	5	NUM
ejpam-4758	43	12	)	)	PUNCT
ejpam-4758	43	13	−e2i2v	−e2i2v	NOUN
ejpam-4758	43	14	(	(	PUNCT
ejpam-4758	43	15	4	4	X
ejpam-4758	43	16	)	)	SYM
ejpam-4758	43	17	2	2	NUM
ejpam-4758	43	18	−	−	NOUN
ejpam-4758	43	19	k(v2	k(v2	NOUN
ejpam-4758	43	20	−	−	PROPN
ejpam-4758	43	21	v1	v1	NOUN
ejpam-4758	43	22	)	)	PUNCT
ejpam-4758	43	23	=	=	SYM
ejpam-4758	43	24	0	0	X
ejpam-4758	43	25	.	.	PUNCT
ejpam-4758	44	1	(	(	PUNCT
ejpam-4758	44	2	6	6	X
ejpam-4758	44	3	)	)	PUNCT
ejpam-4758	44	4	subtracting	subtract	VERB
ejpam-4758	44	5	(	(	PUNCT
ejpam-4758	44	6	6	6	NUM
ejpam-4758	44	7	)	)	PUNCT
ejpam-4758	44	8	from	from	ADP
ejpam-4758	44	9	(	(	PUNCT
ejpam-4758	44	10	5	5	NUM
ejpam-4758	44	11	)	)	PUNCT
ejpam-4758	44	12	and	and	CCONJ
ejpam-4758	44	13	letting	let	VERB
ejpam-4758	44	14	u	u	NOUN
ejpam-4758	44	15	=	=	NOUN
ejpam-4758	44	16	v1	v1	PROPN
ejpam-4758	44	17	−	−	PROPN
ejpam-4758	44	18	v2	v2	PROPN
ejpam-4758	44	19	and	and	CCONJ
ejpam-4758	44	20	l	l	NOUN
ejpam-4758	44	21	=	=	SYM
ejpam-4758	44	22	1	1	NUM
ejpam-4758	44	23	reduces	reduce	VERB
ejpam-4758	44	24	the	the	DET
ejpam-4758	44	25	system	system	NOUN
ejpam-4758	44	26	to	to	ADP
ejpam-4758	44	27	u(4	u(4	PROPN
ejpam-4758	44	28	)	)	PUNCT
ejpam-4758	44	29	−ku	−ku	NOUN
ejpam-4758	44	30	=	=	PUNCT
ejpam-4758	44	31	g(x	g(x	NOUN
ejpam-4758	44	32	)	)	PUNCT
ejpam-4758	44	33	(	(	PUNCT
ejpam-4758	44	34	7	7	X
ejpam-4758	44	35	)	)	PUNCT
ejpam-4758	44	36	u(0	u(0	PROPN
ejpam-4758	44	37	,	,	PUNCT
ejpam-4758	44	38	t	t	PROPN
ejpam-4758	44	39	)	)	PUNCT
ejpam-4758	44	40	=	=	SYM
ejpam-4758	45	1	u(1	u(1	PROPN
ejpam-4758	45	2	)	)	PUNCT
ejpam-4758	45	3	=	=	SYM
ejpam-4758	45	4	0	0	NUM
ejpam-4758	45	5	=	=	PUNCT
ejpam-4758	45	6	uxx(0	uxx(0	PROPN
ejpam-4758	45	7	)	)	PUNCT
ejpam-4758	45	8	=	=	SYM
ejpam-4758	45	9	uxx(1	uxx(1	NOUN
ejpam-4758	45	10	)	)	PUNCT
ejpam-4758	46	1	=	=	SYM
ejpam-4758	46	2	0	0	PUNCT
ejpam-4758	47	1	(	(	PUNCT
ejpam-4758	47	2	8)	8)	NUM
ejpam-4758	47	3	where	where	SCONJ
ejpam-4758	47	4	:	:	PUNCT
ejpam-4758	48	1	k	k	X
ejpam-4758	48	2	=	=	PUNCT
ejpam-4758	49	1	k	k	PROPN
ejpam-4758	49	2	e1i1	e1i1	PROPN
ejpam-4758	50	1	+	+	CCONJ
ejpam-4758	50	2	k	k	X
ejpam-4758	50	3	e2i2	e2i2	NOUN
ejpam-4758	50	4	,	,	PUNCT
ejpam-4758	50	5	and	and	CCONJ
ejpam-4758	50	6	g	g	PROPN
ejpam-4758	50	7	=	=	PROPN
ejpam-4758	50	8	−f	−f	PROPN
ejpam-4758	50	9	e1i1	e1i1	ADP
ejpam-4758	50	10	obtaining	obtain	VERB
ejpam-4758	50	11	the	the	DET
ejpam-4758	50	12	solution	solution	NOUN
ejpam-4758	50	13	u(x	u(x	NOUN
ejpam-4758	50	14	)	)	PUNCT
ejpam-4758	50	15	for	for	ADP
ejpam-4758	50	16	this	this	DET
ejpam-4758	50	17	system	system	NOUN
ejpam-4758	50	18	(	(	PUNCT
ejpam-4758	50	19	7	7	NUM
ejpam-4758	50	20	)	)	PUNCT
ejpam-4758	50	21	and	and	CCONJ
ejpam-4758	50	22	(	(	PUNCT
ejpam-4758	50	23	8)	8)	NUM
ejpam-4758	50	24	,	,	PUNCT
ejpam-4758	50	25	we	we	PRON
ejpam-4758	50	26	then	then	ADV
ejpam-4758	50	27	substitute	substitute	VERB
ejpam-4758	50	28	the	the	DET
ejpam-4758	50	29	relation	relation	NOUN
ejpam-4758	50	30	v1	v1	NOUN
ejpam-4758	50	31	=	=	SYM
ejpam-4758	50	32	u+	u+	NOUN
ejpam-4758	50	33	v2	v2	PROPN
ejpam-4758	50	34	into	into	ADP
ejpam-4758	50	35	(	(	PUNCT
ejpam-4758	50	36	6	6	NUM
ejpam-4758	50	37	)	)	PUNCT
ejpam-4758	50	38	to	to	PART
ejpam-4758	50	39	get	get	VERB
ejpam-4758	50	40	a	a	DET
ejpam-4758	50	41	modified	modify	VERB
ejpam-4758	50	42	equation	equation	NOUN
ejpam-4758	50	43	for	for	ADP
ejpam-4758	50	44	v2	v2	NOUN
ejpam-4758	50	45	,	,	PUNCT
ejpam-4758	50	46	−e2i2v	−e2i2v	X
ejpam-4758	50	47	(	(	PUNCT
ejpam-4758	50	48	4	4	X
ejpam-4758	50	49	)	)	SYM
ejpam-4758	50	50	2	2	NUM
ejpam-4758	50	51	−	−	NOUN
ejpam-4758	50	52	ku	ku	NOUN
ejpam-4758	50	53	=	=	PROPN
ejpam-4758	50	54	0	0	PROPN
ejpam-4758	50	55	.	.	NOUN
ejpam-4758	51	1	or	or	CCONJ
ejpam-4758	51	2	v	v	ADP
ejpam-4758	51	3	(	(	PUNCT
ejpam-4758	51	4	4	4	NUM
ejpam-4758	51	5	)	)	SYM
ejpam-4758	51	6	2	2	NUM
ejpam-4758	51	7	=	=	SYM
ejpam-4758	51	8	g̃.	g̃.	PROPN
ejpam-4758	51	9	where	where	SCONJ
ejpam-4758	51	10	g̃	g̃	PROPN
ejpam-4758	51	11	=	=	SYM
ejpam-4758	51	12	−u	−u	PROPN
ejpam-4758	51	13	e2i2	e2i2	NOUN
ejpam-4758	51	14	is	be	AUX
ejpam-4758	51	15	the	the	DET
ejpam-4758	51	16	forcing	forcing	NOUN
ejpam-4758	51	17	on	on	ADP
ejpam-4758	51	18	the	the	DET
ejpam-4758	51	19	lower	low	ADJ
ejpam-4758	51	20	beam	beam	NOUN
ejpam-4758	51	21	due	due	ADP
ejpam-4758	51	22	to	to	ADP
ejpam-4758	51	23	the	the	DET
ejpam-4758	51	24	top	top	ADJ
ejpam-4758	51	25	beam	beam	NOUN
ejpam-4758	51	26	,	,	PUNCT
ejpam-4758	51	27	after	after	ADP
ejpam-4758	51	28	solving	solve	VERB
ejpam-4758	51	29	for	for	ADP
ejpam-4758	51	30	v2	v2	NOUN
ejpam-4758	51	31	,	,	PUNCT
ejpam-4758	51	32	we	we	PRON
ejpam-4758	51	33	can	can	AUX
ejpam-4758	51	34	recover	recover	VERB
ejpam-4758	51	35	v1	v1	NOUN
ejpam-4758	51	36	from	from	ADP
ejpam-4758	51	37	the	the	DET
ejpam-4758	51	38	relation	relation	NOUN
ejpam-4758	51	39	v1	v1	NOUN
ejpam-4758	51	40	=	=	SYM
ejpam-4758	51	41	u+	u+	NOUN
ejpam-4758	51	42	v2	v2	NOUN
ejpam-4758	51	43	.	.	PUNCT
ejpam-4758	52	1	first	first	ADV
ejpam-4758	52	2	we	we	PRON
ejpam-4758	52	3	consider	consider	VERB
ejpam-4758	52	4	the	the	DET
ejpam-4758	52	5	inverse	inverse	NOUN
ejpam-4758	52	6	problem	problem	NOUN
ejpam-4758	52	7	:	:	PUNCT
ejpam-4758	52	8	given	give	VERB
ejpam-4758	52	9	the	the	DET
ejpam-4758	52	10	spring	spring	NOUN
ejpam-4758	52	11	stiffness	stiffness	NOUN
ejpam-4758	52	12	k	k	PROPN
ejpam-4758	52	13	and	and	CCONJ
ejpam-4758	52	14	measurements	measurement	NOUN
ejpam-4758	52	15	of	of	ADP
ejpam-4758	52	16	the	the	DET
ejpam-4758	52	17	resulting	result	VERB
ejpam-4758	52	18	deflections	deflection	NOUN
ejpam-4758	52	19	v1(x	v1(x	NUM
ejpam-4758	52	20	)	)	PUNCT
ejpam-4758	52	21	and	and	CCONJ
ejpam-4758	52	22	v2(x	v2(x	NUM
ejpam-4758	52	23	)	)	PUNCT
ejpam-4758	52	24	,	,	PUNCT
ejpam-4758	52	25	find	find	VERB
ejpam-4758	52	26	the	the	DET
ejpam-4758	52	27	imposed	impose	VERB
ejpam-4758	52	28	force	force	NOUN
ejpam-4758	52	29	f(x	f(x	PROPN
ejpam-4758	52	30	)	)	PUNCT
ejpam-4758	52	31	,	,	PUNCT
ejpam-4758	52	32	this	this	PRON
ejpam-4758	52	33	is	be	AUX
ejpam-4758	52	34	the	the	DET
ejpam-4758	52	35	same	same	ADJ
ejpam-4758	52	36	o.	o.	NOUN
ejpam-4758	52	37	alomari	alomari	PROPN
ejpam-4758	52	38	,	,	PUNCT
ejpam-4758	52	39	pavel	pavel	PROPN
ejpam-4758	52	40	b.dubovski	b.dubovski	PROPN
ejpam-4758	52	41	/	/	SYM
ejpam-4758	52	42	eur	eur	PROPN
ejpam-4758	52	43	.	.	PUNCT
ejpam-4758	53	1	j.	j.	PROPN
ejpam-4758	53	2	pure	pure	PROPN
ejpam-4758	53	3	appl	appl	PROPN
ejpam-4758	53	4	.	.	PROPN
ejpam-4758	53	5	math	math	PROPN
ejpam-4758	53	6	,	,	PUNCT
ejpam-4758	53	7	16	16	NUM
ejpam-4758	53	8	(	(	PUNCT
ejpam-4758	53	9	2	2	NUM
ejpam-4758	53	10	)	)	PUNCT
ejpam-4758	53	11	(	(	PUNCT
ejpam-4758	53	12	2023	2023	NUM
ejpam-4758	53	13	)	)	PUNCT
ejpam-4758	53	14	,	,	PUNCT
ejpam-4758	53	15	1140	1140	NUM
ejpam-4758	53	16	-	-	SYM
ejpam-4758	53	17	1153	1153	NUM
ejpam-4758	53	18	1143	1143	NUM
ejpam-4758	53	19	as	as	ADP
ejpam-4758	53	20	finding	find	VERB
ejpam-4758	53	21	the	the	DET
ejpam-4758	53	22	function	function	NOUN
ejpam-4758	53	23	g	g	PROPN
ejpam-4758	53	24	∈	∈	PROPN
ejpam-4758	53	25	l2[0	l2[0	PROPN
ejpam-4758	53	26	,	,	PUNCT
ejpam-4758	53	27	1	1	NUM
ejpam-4758	53	28	]	]	PUNCT
ejpam-4758	53	29	in	in	ADP
ejpam-4758	53	30	(	(	PUNCT
ejpam-4758	53	31	7),(8	7),(8	NOUN
ejpam-4758	53	32	)	)	PUNCT
ejpam-4758	53	33	if	if	SCONJ
ejpam-4758	53	34	k	k	PROPN
ejpam-4758	53	35	is	be	AUX
ejpam-4758	53	36	known	know	VERB
ejpam-4758	53	37	and	and	CCONJ
ejpam-4758	53	38	a	a	DET
ejpam-4758	53	39	finite	finite	ADJ
ejpam-4758	53	40	observation	observation	NOUN
ejpam-4758	53	41	is	be	AUX
ejpam-4758	53	42	given	give	VERB
ejpam-4758	53	43	about	about	ADP
ejpam-4758	53	44	the	the	DET
ejpam-4758	53	45	function	function	NOUN
ejpam-4758	53	46	u.	u.	PROPN
ejpam-4758	53	47	second	second	ADV
ejpam-4758	53	48	we	we	PRON
ejpam-4758	53	49	consider	consider	VERB
ejpam-4758	53	50	the	the	DET
ejpam-4758	53	51	inverse	inverse	NOUN
ejpam-4758	53	52	problem	problem	NOUN
ejpam-4758	53	53	:	:	PUNCT
ejpam-4758	53	54	given	give	VERB
ejpam-4758	53	55	a	a	DET
ejpam-4758	53	56	single	single	ADJ
ejpam-4758	53	57	imposed	impose	VERB
ejpam-4758	53	58	force	force	NOUN
ejpam-4758	53	59	f(x	f(x	PROPN
ejpam-4758	53	60	)	)	PUNCT
ejpam-4758	53	61	and	and	CCONJ
ejpam-4758	53	62	measurements	measurement	NOUN
ejpam-4758	53	63	of	of	ADP
ejpam-4758	53	64	the	the	DET
ejpam-4758	53	65	resulting	result	VERB
ejpam-4758	53	66	deflections	deflection	NOUN
ejpam-4758	53	67	v1(x	v1(x	NUM
ejpam-4758	53	68	)	)	PUNCT
ejpam-4758	53	69	and	and	CCONJ
ejpam-4758	53	70	v2(x	v2(x	NUM
ejpam-4758	53	71	)	)	PUNCT
ejpam-4758	53	72	,	,	PUNCT
ejpam-4758	53	73	find	find	VERB
ejpam-4758	53	74	the	the	DET
ejpam-4758	53	75	spring	spring	NOUN
ejpam-4758	53	76	stiffness	stiffness	NOUN
ejpam-4758	53	77	k	k	NOUN
ejpam-4758	53	78	,	,	PUNCT
ejpam-4758	53	79	this	this	PRON
ejpam-4758	53	80	is	be	AUX
ejpam-4758	53	81	the	the	DET
ejpam-4758	53	82	same	same	ADJ
ejpam-4758	53	83	as	as	ADP
ejpam-4758	53	84	recovering	recover	VERB
ejpam-4758	53	85	the	the	DET
ejpam-4758	53	86	coefficient	coefficient	NOUN
ejpam-4758	53	87	k	k	NOUN
ejpam-4758	53	88	,	,	PUNCT
ejpam-4758	53	89	in	in	ADP
ejpam-4758	53	90	(	(	PUNCT
ejpam-4758	53	91	7),(8	7),(8	NOUN
ejpam-4758	53	92	)	)	PUNCT
ejpam-4758	53	93	,	,	PUNCT
ejpam-4758	53	94	if	if	SCONJ
ejpam-4758	53	95	a	a	DET
ejpam-4758	53	96	continuous	continuous	ADJ
ejpam-4758	53	97	function	function	NOUN
ejpam-4758	53	98	g(x	g(x	NOUN
ejpam-4758	53	99	)	)	PUNCT
ejpam-4758	53	100	is	be	AUX
ejpam-4758	53	101	given	give	VERB
ejpam-4758	53	102	.	.	PUNCT
ejpam-4758	54	1	2	2	X
ejpam-4758	54	2	.	.	X
ejpam-4758	54	3	formulation	formulation	NOUN
ejpam-4758	54	4	of	of	ADP
ejpam-4758	54	5	the	the	DET
ejpam-4758	54	6	two	two	NUM
ejpam-4758	54	7	inverse	inverse	NOUN
ejpam-4758	54	8	problems	problem	NOUN
ejpam-4758	54	9	the	the	DET
ejpam-4758	54	10	problem	problem	NOUN
ejpam-4758	54	11	of	of	ADP
ejpam-4758	54	12	recovering	recover	VERB
ejpam-4758	54	13	a	a	DET
ejpam-4758	54	14	source	source	NOUN
ejpam-4758	54	15	function	function	NOUN
ejpam-4758	54	16	g	g	NOUN
ejpam-4758	54	17	or	or	CCONJ
ejpam-4758	54	18	a	a	DET
ejpam-4758	54	19	coefficient	coefficient	NOUN
ejpam-4758	54	20	k	k	PROPN
ejpam-4758	54	21	in	in	ADP
ejpam-4758	54	22	(	(	PUNCT
ejpam-4758	54	23	7)(8	7)(8	NUM
ejpam-4758	54	24	)	)	PUNCT
ejpam-4758	54	25	are	be	AUX
ejpam-4758	54	26	typical	typical	ADJ
ejpam-4758	54	27	ill	ill	ADV
ejpam-4758	54	28	-	-	PUNCT
ejpam-4758	54	29	posed	pose	VERB
ejpam-4758	54	30	problems	problem	NOUN
ejpam-4758	54	31	whose	whose	DET
ejpam-4758	54	32	solution	solution	NOUN
ejpam-4758	54	33	does	do	AUX
ejpam-4758	54	34	not	not	PART
ejpam-4758	54	35	depend	depend	VERB
ejpam-4758	54	36	continuously	continuously	ADV
ejpam-4758	54	37	on	on	ADP
ejpam-4758	54	38	the	the	DET
ejpam-4758	54	39	boundary	boundary	ADJ
ejpam-4758	54	40	data	datum	NOUN
ejpam-4758	54	41	.	.	PUNCT
ejpam-4758	55	1	that	that	PRON
ejpam-4758	55	2	is	is	ADV
ejpam-4758	55	3	,	,	PUNCT
ejpam-4758	55	4	a	a	DET
ejpam-4758	55	5	small	small	ADJ
ejpam-4758	55	6	error	error	NOUN
ejpam-4758	55	7	in	in	ADP
ejpam-4758	55	8	the	the	DET
ejpam-4758	55	9	specified	specify	VERB
ejpam-4758	55	10	data	datum	NOUN
ejpam-4758	55	11	may	may	AUX
ejpam-4758	55	12	result	result	VERB
ejpam-4758	55	13	in	in	ADP
ejpam-4758	55	14	an	an	DET
ejpam-4758	55	15	enormous	enormous	ADJ
ejpam-4758	55	16	error	error	NOUN
ejpam-4758	55	17	in	in	ADP
ejpam-4758	55	18	the	the	DET
ejpam-4758	55	19	numerical	numerical	ADJ
ejpam-4758	55	20	solution	solution	NOUN
ejpam-4758	55	21	[	[	X
ejpam-4758	55	22	13	13	NUM
ejpam-4758	55	23	]	]	PUNCT
ejpam-4758	55	24	.	.	PUNCT
ejpam-4758	56	1	we	we	PRON
ejpam-4758	56	2	employ	employ	VERB
ejpam-4758	56	3	tikhonov	tikhonov	NOUN
ejpam-4758	56	4	regularization	regularization	NOUN
ejpam-4758	56	5	technique	technique	NOUN
ejpam-4758	56	6	to	to	PART
ejpam-4758	56	7	restore	restore	VERB
ejpam-4758	56	8	the	the	DET
ejpam-4758	56	9	stability	stability	NOUN
ejpam-4758	56	10	of	of	ADP
ejpam-4758	56	11	the	the	DET
ejpam-4758	56	12	numerical	numerical	ADJ
ejpam-4758	56	13	solution	solution	NOUN
ejpam-4758	56	14	[	[	X
ejpam-4758	56	15	3	3	NUM
ejpam-4758	56	16	,	,	PUNCT
ejpam-4758	56	17	15	15	NUM
ejpam-4758	56	18	]	]	PUNCT
ejpam-4758	56	19	.	.	PUNCT
ejpam-4758	57	1	stable	stable	ADJ
ejpam-4758	57	2	and	and	CCONJ
ejpam-4758	57	3	efficient	efficient	ADJ
ejpam-4758	57	4	numerical	numerical	ADJ
ejpam-4758	57	5	methods	method	NOUN
ejpam-4758	57	6	are	be	AUX
ejpam-4758	57	7	of	of	ADP
ejpam-4758	57	8	high	high	ADJ
ejpam-4758	57	9	importance	importance	NOUN
ejpam-4758	57	10	.	.	PUNCT
ejpam-4758	58	1	we	we	PRON
ejpam-4758	58	2	assume	assume	VERB
ejpam-4758	58	3	that	that	SCONJ
ejpam-4758	58	4	the	the	DET
ejpam-4758	58	5	only	only	ADJ
ejpam-4758	58	6	available	available	ADJ
ejpam-4758	58	7	information	information	NOUN
ejpam-4758	58	8	is	be	AUX
ejpam-4758	58	9	finite	finite	ADJ
ejpam-4758	58	10	observations	observation	NOUN
ejpam-4758	58	11	of	of	ADP
ejpam-4758	58	12	the	the	DET
ejpam-4758	58	13	solution	solution	NOUN
ejpam-4758	58	14	uobs	uob	NOUN
ejpam-4758	58	15	at	at	ADP
ejpam-4758	58	16	xi	xi	PROPN
ejpam-4758	58	17	,	,	PUNCT
ejpam-4758	58	18	i	i	PRON
ejpam-4758	58	19	=	=	NOUN
ejpam-4758	58	20	1	1	NUM
ejpam-4758	58	21	,	,	PUNCT
ejpam-4758	58	22	2	2	NUM
ejpam-4758	58	23	,	,	PUNCT
ejpam-4758	58	24	3	3	NUM
ejpam-4758	58	25	,	,	PUNCT
ejpam-4758	58	26	.	.	PUNCT
ejpam-4758	58	27	.	.	PUNCT
ejpam-4758	58	28	.	.	PUNCT
ejpam-4758	59	1	n.	n.	PROPN
ejpam-4758	59	2	henceforth	henceforth	ADV
ejpam-4758	59	3	,	,	PUNCT
ejpam-4758	59	4	uobs	uobs	PROPN
ejpam-4758	59	5	is	be	AUX
ejpam-4758	59	6	the	the	DET
ejpam-4758	59	7	interpolating	interpolate	VERB
ejpam-4758	59	8	cubic	cubic	ADJ
ejpam-4758	59	9	spline	spline	NOUN
ejpam-4758	59	10	of	of	ADP
ejpam-4758	59	11	the	the	DET
ejpam-4758	59	12	finite	finite	ADJ
ejpam-4758	59	13	observations	observation	NOUN
ejpam-4758	59	14	of	of	ADP
ejpam-4758	59	15	the	the	DET
ejpam-4758	59	16	function	function	NOUN
ejpam-4758	59	17	u.	u.	NOUN
ejpam-4758	59	18	2.1	2.1	NUM
ejpam-4758	59	19	.	.	PUNCT
ejpam-4758	60	1	inverse	inverse	ADJ
ejpam-4758	60	2	problem	problem	NOUN
ejpam-4758	60	3	1	1	NUM
ejpam-4758	60	4	suppose	suppose	VERB
ejpam-4758	60	5	that	that	SCONJ
ejpam-4758	60	6	the	the	DET
ejpam-4758	60	7	functions	function	NOUN
ejpam-4758	60	8	g	g	PROPN
ejpam-4758	60	9	=	=	PROPN
ejpam-4758	60	10	g0	g0	PROPN
ejpam-4758	60	11	and	and	CCONJ
ejpam-4758	60	12	k	k	PROPN
ejpam-4758	60	13	are	be	AUX
ejpam-4758	60	14	known	know	VERB
ejpam-4758	60	15	in	in	ADP
ejpam-4758	60	16	(	(	PUNCT
ejpam-4758	60	17	7)(8	7)(8	NUM
ejpam-4758	60	18	)	)	PUNCT
ejpam-4758	60	19	,	,	PUNCT
ejpam-4758	60	20	we	we	PRON
ejpam-4758	60	21	solve	solve	VERB
ejpam-4758	60	22	the	the	DET
ejpam-4758	60	23	direct	direct	ADJ
ejpam-4758	60	24	problem	problem	NOUN
ejpam-4758	60	25	and	and	CCONJ
ejpam-4758	60	26	obtain	obtain	VERB
ejpam-4758	60	27	the	the	DET
ejpam-4758	60	28	exact	exact	ADJ
ejpam-4758	60	29	solution	solution	NOUN
ejpam-4758	60	30	u(0	u(0	PROPN
ejpam-4758	60	31	)	)	PUNCT
ejpam-4758	60	32	̸=	̸=	PROPN
ejpam-4758	60	33	uobs	uob	NOUN
ejpam-4758	60	34	.	.	PUNCT
ejpam-4758	61	1	then	then	ADV
ejpam-4758	61	2	we	we	PRON
ejpam-4758	61	3	seek	seek	VERB
ejpam-4758	61	4	a	a	DET
ejpam-4758	61	5	solution	solution	NOUN
ejpam-4758	61	6	u1	u1	NOUN
ejpam-4758	61	7	in	in	ADP
ejpam-4758	61	8	the	the	DET
ejpam-4758	61	9	neighborhood	neighborhood	NOUN
ejpam-4758	61	10	of	of	ADP
ejpam-4758	61	11	u(0	u(0	NOUN
ejpam-4758	61	12	)	)	PUNCT
ejpam-4758	61	13	and	and	CCONJ
ejpam-4758	61	14	g1	g1	PROPN
ejpam-4758	61	15	=	=	PUNCT
ejpam-4758	61	16	g0+v	g0+v	X
ejpam-4758	61	17	in	in	ADP
ejpam-4758	61	18	neighborhood	neighborhood	NOUN
ejpam-4758	61	19	of	of	ADP
ejpam-4758	61	20	g0	g0	NOUN
ejpam-4758	61	21	,	,	PUNCT
ejpam-4758	61	22	where	where	SCONJ
ejpam-4758	61	23	,	,	PUNCT
ejpam-4758	61	24	u1	u1	PROPN
ejpam-4758	61	25	meets	meet	VERB
ejpam-4758	61	26	the	the	DET
ejpam-4758	61	27	boundary	boundary	ADJ
ejpam-4758	61	28	conditions	condition	NOUN
ejpam-4758	61	29	(	(	PUNCT
ejpam-4758	61	30	8)	8)	NUM
ejpam-4758	61	31	.	.	PUNCT
ejpam-4758	62	1	we	we	PRON
ejpam-4758	62	2	define	define	VERB
ejpam-4758	62	3	the	the	DET
ejpam-4758	62	4	operator	operator	NOUN
ejpam-4758	62	5	a	a	PRON
ejpam-4758	62	6	as	as	SCONJ
ejpam-4758	62	7	follows	follow	VERB
ejpam-4758	62	8	:	:	PUNCT
ejpam-4758	62	9	au	au	ADP
ejpam-4758	62	10	=	=	SYM
ejpam-4758	62	11	u(4	u(4	PROPN
ejpam-4758	62	12	)	)	PUNCT
ejpam-4758	62	13	−ku	−ku	PROPN
ejpam-4758	62	14	,	,	PUNCT
ejpam-4758	62	15	d(a	d(a	PROPN
ejpam-4758	62	16	)	)	PUNCT
ejpam-4758	62	17	=	=	PRON
ejpam-4758	63	1	{	{	PUNCT
ejpam-4758	63	2	u	u	NOUN
ejpam-4758	63	3	∈	∈	PROPN
ejpam-4758	63	4	w	w	PROPN
ejpam-4758	63	5	2	2	NUM
ejpam-4758	63	6	4	4	NUM
ejpam-4758	63	7	[	[	X
ejpam-4758	63	8	0	0	NUM
ejpam-4758	63	9	,	,	PUNCT
ejpam-4758	63	10	1	1	NUM
ejpam-4758	63	11	]	]	PUNCT
ejpam-4758	63	12	:	:	PUNCT
ejpam-4758	63	13	u(0	u(0	NOUN
ejpam-4758	63	14	)	)	PUNCT
ejpam-4758	63	15	=	=	SYM
ejpam-4758	63	16	u(1	u(1	PROPN
ejpam-4758	63	17	)	)	PUNCT
ejpam-4758	63	18	=	=	SYM
ejpam-4758	63	19	u′′(0	u′′(0	NOUN
ejpam-4758	63	20	)	)	PUNCT
ejpam-4758	63	21	=	=	SYM
ejpam-4758	63	22	u′′(1	u′′(1	NOUN
ejpam-4758	63	23	)	)	PUNCT
ejpam-4758	63	24	=	=	PUNCT
ejpam-4758	63	25	0	0	NUM
ejpam-4758	63	26	}	}	PUNCT
ejpam-4758	63	27	,	,	PUNCT
ejpam-4758	63	28	au	au	ADP
ejpam-4758	63	29	=	=	SYM
ejpam-4758	63	30	g	g	NOUN
ejpam-4758	63	31	,	,	PUNCT
ejpam-4758	63	32	g	g	PROPN
ejpam-4758	63	33	∈	∈	PROPN
ejpam-4758	63	34	l2[0	l2[0	PROPN
ejpam-4758	63	35	,	,	PUNCT
ejpam-4758	63	36	1	1	NUM
ejpam-4758	63	37	]	]	PUNCT
ejpam-4758	63	38	,	,	PUNCT
ejpam-4758	63	39	where	where	SCONJ
ejpam-4758	63	40	w	w	PROPN
ejpam-4758	63	41	p	p	X
ejpam-4758	63	42	k	k	PROPN
ejpam-4758	63	43	(	(	PUNCT
ejpam-4758	63	44	ω	ω	NOUN
ejpam-4758	63	45	)	)	PUNCT
ejpam-4758	63	46	:	:	PUNCT
ejpam-4758	63	47	=	=	SYM
ejpam-4758	63	48	{	{	PUNCT
ejpam-4758	63	49	u	u	NOUN
ejpam-4758	63	50	∈	∈	PROPN
ejpam-4758	63	51	lp(ω	lp(ω	PROPN
ejpam-4758	63	52	)	)	PUNCT
ejpam-4758	63	53	:	:	PUNCT
ejpam-4758	63	54	dαu	dαu	PROPN
ejpam-4758	63	55	∈	∈	NOUN
ejpam-4758	63	56	lp(ω	lp(ω	NOUN
ejpam-4758	63	57	)	)	PUNCT
ejpam-4758	63	58	∀α	∀α	NOUN
ejpam-4758	63	59	,	,	PUNCT
ejpam-4758	63	60	|α|	|α|	PROPN
ejpam-4758	63	61	≤	≤	NUM
ejpam-4758	63	62	k	k	NOUN
ejpam-4758	63	63	}	}	PUNCT
ejpam-4758	63	64	,	,	PUNCT
ejpam-4758	63	65	and	and	CCONJ
ejpam-4758	63	66	define	define	VERB
ejpam-4758	63	67	the	the	DET
ejpam-4758	63	68	inner	inner	ADJ
ejpam-4758	63	69	product	product	NOUN
ejpam-4758	63	70	(	(	PUNCT
ejpam-4758	63	71	u	u	NOUN
ejpam-4758	63	72	,	,	PUNCT
ejpam-4758	63	73	v	v	NOUN
ejpam-4758	63	74	)	)	PUNCT
ejpam-4758	63	75	=	=	SYM
ejpam-4758	64	1	∫	∫	PROPN
ejpam-4758	65	1	1	1	NUM
ejpam-4758	65	2	0	0	NUM
ejpam-4758	65	3	uv	uv	NOUN
ejpam-4758	65	4	dx	dx	PROPN
ejpam-4758	65	5	the	the	DET
ejpam-4758	65	6	inverse	inverse	NOUN
ejpam-4758	65	7	problem	problem	NOUN
ejpam-4758	65	8	is	be	AUX
ejpam-4758	65	9	to	to	PART
ejpam-4758	65	10	find	find	VERB
ejpam-4758	65	11	u1	u1	NOUN
ejpam-4758	65	12	∈	∈	PROPN
ejpam-4758	65	13	w	w	PROPN
ejpam-4758	65	14	2	2	NUM
ejpam-4758	65	15	4	4	NUM
ejpam-4758	65	16	[	[	X
ejpam-4758	65	17	0	0	NUM
ejpam-4758	65	18	,	,	PUNCT
ejpam-4758	65	19	1	1	NUM
ejpam-4758	65	20	]	]	PUNCT
ejpam-4758	65	21	and	and	CCONJ
ejpam-4758	65	22	v	v	NOUN
ejpam-4758	65	23	∈	∈	NOUN
ejpam-4758	65	24	l2	l2	NOUN
ejpam-4758	65	25	such	such	ADJ
ejpam-4758	65	26	that	that	PRON
ejpam-4758	65	27	:	:	PUNCT
ejpam-4758	65	28	au1	au1	PROPN
ejpam-4758	65	29	=	=	SYM
ejpam-4758	65	30	g1	g1	PROPN
ejpam-4758	65	31	=	=	SYM
ejpam-4758	65	32	g0	g0	PROPN
ejpam-4758	65	33	+	+	CCONJ
ejpam-4758	65	34	v.	v.	CCONJ
ejpam-4758	65	35	along	along	ADP
ejpam-4758	65	36	the	the	DET
ejpam-4758	65	37	above	above	NOUN
ejpam-4758	65	38	,	,	PUNCT
ejpam-4758	65	39	we	we	PRON
ejpam-4758	65	40	consider	consider	VERB
ejpam-4758	65	41	the	the	DET
ejpam-4758	65	42	variational	variational	ADJ
ejpam-4758	65	43	problem	problem	NOUN
ejpam-4758	65	44	:	:	PUNCT
ejpam-4758	65	45	o.	o.	NOUN
ejpam-4758	65	46	alomari	alomari	PROPN
ejpam-4758	65	47	,	,	PUNCT
ejpam-4758	65	48	pavel	pavel	PROPN
ejpam-4758	65	49	b.dubovski	b.dubovski	PROPN
ejpam-4758	65	50	/	/	SYM
ejpam-4758	65	51	eur	eur	PROPN
ejpam-4758	65	52	.	.	PUNCT
ejpam-4758	66	1	j.	j.	PROPN
ejpam-4758	66	2	pure	pure	PROPN
ejpam-4758	66	3	appl	appl	PROPN
ejpam-4758	66	4	.	.	PROPN
ejpam-4758	66	5	math	math	PROPN
ejpam-4758	66	6	,	,	PUNCT
ejpam-4758	66	7	16	16	NUM
ejpam-4758	66	8	(	(	PUNCT
ejpam-4758	66	9	2	2	NUM
ejpam-4758	66	10	)	)	PUNCT
ejpam-4758	66	11	(	(	PUNCT
ejpam-4758	66	12	2023	2023	NUM
ejpam-4758	66	13	)	)	PUNCT
ejpam-4758	66	14	,	,	PUNCT
ejpam-4758	66	15	1140	1140	NUM
ejpam-4758	66	16	-	-	SYM
ejpam-4758	66	17	1153	1153	NUM
ejpam-4758	66	18	1144	1144	NUM
ejpam-4758	66	19	inf	inf	NOUN
ejpam-4758	66	20	v∈l2	v∈l2	NOUN
ejpam-4758	66	21	{	{	PUNCT
ejpam-4758	66	22	α∥v∥2l2	α∥v∥2l2	PROPN
ejpam-4758	66	23	+	+	NUM
ejpam-4758	66	24	∥u1	∥u1	NOUN
ejpam-4758	66	25	−	−	PROPN
ejpam-4758	66	26	uobs∥2w	uobs∥2w	PROPN
ejpam-4758	66	27	2	2	NUM
ejpam-4758	66	28	4	4	NUM
ejpam-4758	66	29	}	}	PUNCT
ejpam-4758	66	30	.	.	PUNCT
ejpam-4758	67	1	now	now	ADV
ejpam-4758	67	2	we	we	PRON
ejpam-4758	67	3	can	can	AUX
ejpam-4758	67	4	reformulate	reformulate	VERB
ejpam-4758	67	5	the	the	DET
ejpam-4758	67	6	problem	problem	NOUN
ejpam-4758	67	7	above	above	ADV
ejpam-4758	67	8	as	as	ADP
ejpam-4758	67	9	the	the	DET
ejpam-4758	67	10	following	follow	VERB
ejpam-4758	67	11	inverse	inverse	NOUN
ejpam-4758	67	12	problem	problem	NOUN
ejpam-4758	67	13	of	of	ADP
ejpam-4758	67	14	the	the	DET
ejpam-4758	67	15	function	function	NOUN
ejpam-4758	67	16	u	u	NOUN
ejpam-4758	67	17	=	=	PROPN
ejpam-4758	67	18	u1	u1	PROPN
ejpam-4758	67	19	−	−	PROPN
ejpam-4758	67	20	u(0	u(0	PROPN
ejpam-4758	67	21	)	)	PUNCT
ejpam-4758	67	22	.	.	PUNCT
ejpam-4758	68	1	for	for	ADP
ejpam-4758	68	2	given	give	VERB
ejpam-4758	68	3	uobs	uob	NOUN
ejpam-4758	68	4	and	and	CCONJ
ejpam-4758	68	5	u(0	u(0	PROPN
ejpam-4758	68	6	)	)	PUNCT
ejpam-4758	68	7	,	,	PUNCT
ejpam-4758	68	8	find	find	VERB
ejpam-4758	68	9	u	u	PRON
ejpam-4758	68	10	∈	∈	NOUN
ejpam-4758	68	11	w	w	PROPN
ejpam-4758	68	12	2	2	NUM
ejpam-4758	68	13	4	4	NUM
ejpam-4758	68	14	[	[	X
ejpam-4758	68	15	0	0	NUM
ejpam-4758	68	16	,	,	PUNCT
ejpam-4758	68	17	1	1	NUM
ejpam-4758	68	18	]	]	PUNCT
ejpam-4758	68	19	and	and	CCONJ
ejpam-4758	68	20	v	v	NOUN
ejpam-4758	68	21	∈	∈	NOUN
ejpam-4758	68	22	l2	l2	NOUN
ejpam-4758	68	23	such	such	ADJ
ejpam-4758	68	24	that	that	PRON
ejpam-4758	68	25	:	:	PUNCT
ejpam-4758	68	26	au	au	PROPN
ejpam-4758	68	27	=	=	SYM
ejpam-4758	68	28	v	v	NOUN
ejpam-4758	68	29	,	,	PUNCT
ejpam-4758	68	30	u(0	u(0	NOUN
ejpam-4758	68	31	)	)	PUNCT
ejpam-4758	68	32	=	=	SYM
ejpam-4758	69	1	u(1	u(1	PROPN
ejpam-4758	69	2	)	)	PUNCT
ejpam-4758	69	3	=	=	SYM
ejpam-4758	69	4	u′′(0	u′′(0	NOUN
ejpam-4758	69	5	)	)	PUNCT
ejpam-4758	69	6	=	=	SYM
ejpam-4758	69	7	u′′(1	u′′(1	NOUN
ejpam-4758	69	8	)	)	PUNCT
ejpam-4758	69	9	=	=	SYM
ejpam-4758	69	10	0	0	NUM
ejpam-4758	69	11	,	,	PUNCT
ejpam-4758	69	12	inf	inf	ADJ
ejpam-4758	69	13	v∈l2	v∈l2	NOUN
ejpam-4758	69	14	j(u	j(u	PROPN
ejpam-4758	69	15	,	,	PUNCT
ejpam-4758	69	16	v	v	NOUN
ejpam-4758	69	17	)	)	PUNCT
ejpam-4758	69	18	,	,	PUNCT
ejpam-4758	69	19	where	where	SCONJ
ejpam-4758	69	20	,	,	PUNCT
ejpam-4758	69	21	j	j	PROPN
ejpam-4758	69	22	=	=	PROPN
ejpam-4758	69	23	inf	inf	PROPN
ejpam-4758	69	24	v∈l2	v∈l2	NOUN
ejpam-4758	69	25	{	{	PUNCT
ejpam-4758	69	26	α∥v∥2l2	α∥v∥2l2	PROPN
ejpam-4758	69	27	+	+	CCONJ
ejpam-4758	69	28	∥u−	∥u−	PROPN
ejpam-4758	69	29	(	(	PUNCT
ejpam-4758	69	30	uobs	uobs	NOUN
ejpam-4758	69	31	−	−	PROPN
ejpam-4758	69	32	u(0))∥2w	u(0))∥2w	NOUN
ejpam-4758	69	33	2	2	NUM
ejpam-4758	69	34	4	4	NUM
ejpam-4758	69	35	}	}	PUNCT
ejpam-4758	69	36	.	.	PUNCT
ejpam-4758	70	1	in	in	ADP
ejpam-4758	70	2	the	the	DET
ejpam-4758	70	3	last	last	ADJ
ejpam-4758	70	4	expression	expression	NOUN
ejpam-4758	70	5	we	we	PRON
ejpam-4758	70	6	seek	seek	VERB
ejpam-4758	70	7	u	u	NOUN
ejpam-4758	70	8	and	and	CCONJ
ejpam-4758	70	9	v	v	ADP
ejpam-4758	70	10	such	such	ADJ
ejpam-4758	70	11	that	that	SCONJ
ejpam-4758	70	12	the	the	DET
ejpam-4758	70	13	minimum	minimum	NOUN
ejpam-4758	70	14	is	be	AUX
ejpam-4758	70	15	attained	attain	VERB
ejpam-4758	70	16	.	.	PUNCT
ejpam-4758	71	1	here	here	ADV
ejpam-4758	71	2	α	α	PROPN
ejpam-4758	71	3	is	be	AUX
ejpam-4758	71	4	a	a	DET
ejpam-4758	71	5	constant	constant	ADJ
ejpam-4758	71	6	.	.	PUNCT
ejpam-4758	72	1	to	to	PART
ejpam-4758	72	2	minimize	minimize	VERB
ejpam-4758	72	3	the	the	DET
ejpam-4758	72	4	functional	functional	ADJ
ejpam-4758	72	5	j	j	PROPN
ejpam-4758	72	6	,	,	PUNCT
ejpam-4758	72	7	we	we	PRON
ejpam-4758	72	8	consider	consider	VERB
ejpam-4758	72	9	its	its	PRON
ejpam-4758	72	10	variational	variational	ADJ
ejpam-4758	72	11	δj	δj	NOUN
ejpam-4758	72	12	and	and	CCONJ
ejpam-4758	72	13	equals	equal	VERB
ejpam-4758	72	14	it	it	PRON
ejpam-4758	72	15	to	to	ADP
ejpam-4758	72	16	zero	zero	NUM
ejpam-4758	72	17	,	,	PUNCT
ejpam-4758	72	18	we	we	PRON
ejpam-4758	72	19	obtain	obtain	VERB
ejpam-4758	72	20	:	:	PUNCT
ejpam-4758	72	21	δj	δj	PROPN
ejpam-4758	72	22	=	=	SYM
ejpam-4758	72	23	2α(v	2α(v	NUM
ejpam-4758	72	24	,	,	PUNCT
ejpam-4758	72	25	δv	δv	ADV
ejpam-4758	72	26	)	)	PUNCT
ejpam-4758	72	27	+	+	CCONJ
ejpam-4758	73	1	2(u−	2(u−	NUM
ejpam-4758	73	2	(	(	PUNCT
ejpam-4758	73	3	uobs	uob	NOUN
ejpam-4758	73	4	−	−	PROPN
ejpam-4758	73	5	u(0	u(0	PROPN
ejpam-4758	73	6	)	)	PUNCT
ejpam-4758	73	7	)	)	PUNCT
ejpam-4758	73	8	,	,	PUNCT
ejpam-4758	73	9	δu	δu	X
ejpam-4758	73	10	)	)	PUNCT
ejpam-4758	73	11	=	=	SYM
ejpam-4758	73	12	0	0	NUM
ejpam-4758	73	13	,	,	PUNCT
ejpam-4758	73	14	here	here	ADV
ejpam-4758	73	15	,	,	PUNCT
ejpam-4758	73	16	δu	δu	X
ejpam-4758	73	17	satisfies	satisfie	NOUN
ejpam-4758	73	18	au	au	X
ejpam-4758	73	19	=	=	SYM
ejpam-4758	73	20	v	v	NOUN
ejpam-4758	73	21	,	,	PUNCT
ejpam-4758	73	22	we	we	PRON
ejpam-4758	73	23	get	get	VERB
ejpam-4758	73	24	:	:	PUNCT
ejpam-4758	73	25	aδu	aδu	PROPN
ejpam-4758	73	26	=	=	SYM
ejpam-4758	73	27	δv	δv	ADJ
ejpam-4758	73	28	,	,	PUNCT
ejpam-4758	73	29	now	now	ADV
ejpam-4758	73	30	we	we	PRON
ejpam-4758	73	31	introduce	introduce	VERB
ejpam-4758	73	32	the	the	DET
ejpam-4758	73	33	adjoint	adjoint	NOUN
ejpam-4758	73	34	operator	operator	NOUN
ejpam-4758	73	35	,	,	PUNCT
ejpam-4758	73	36	a∗	a∗	NOUN
ejpam-4758	73	37	and	and	CCONJ
ejpam-4758	73	38	obtain	obtain	VERB
ejpam-4758	73	39	:	:	PUNCT
ejpam-4758	73	40	(	(	PUNCT
ejpam-4758	73	41	a∗q	a∗q	PROPN
ejpam-4758	73	42	,	,	PUNCT
ejpam-4758	73	43	δu	δu	NOUN
ejpam-4758	73	44	)	)	PUNCT
ejpam-4758	73	45	=	=	SYM
ejpam-4758	73	46	(	(	PUNCT
ejpam-4758	73	47	q	q	NOUN
ejpam-4758	73	48	,	,	PUNCT
ejpam-4758	73	49	aδu	aδu	NOUN
ejpam-4758	73	50	)	)	PUNCT
ejpam-4758	73	51	=	=	PUNCT
ejpam-4758	73	52	(	(	PUNCT
ejpam-4758	73	53	q	q	NOUN
ejpam-4758	73	54	,	,	PUNCT
ejpam-4758	73	55	δv	δv	ADJ
ejpam-4758	73	56	)	)	PUNCT
ejpam-4758	73	57	.	.	PUNCT
ejpam-4758	74	1	clearly	clearly	ADV
ejpam-4758	74	2	,	,	PUNCT
ejpam-4758	74	3	a∗	a∗	PROPN
ejpam-4758	74	4	=	=	SYM
ejpam-4758	74	5	a	a	NOUN
ejpam-4758	74	6	,	,	PUNCT
ejpam-4758	74	7	if	if	SCONJ
ejpam-4758	74	8	we	we	PRON
ejpam-4758	74	9	set	set	VERB
ejpam-4758	74	10	a∗q	a∗q	PROPN
ejpam-4758	74	11	=	=	SYM
ejpam-4758	74	12	u−	u−	PROPN
ejpam-4758	74	13	(	(	PUNCT
ejpam-4758	74	14	uobs	uobs	PROPN
ejpam-4758	74	15	−	−	PROPN
ejpam-4758	74	16	u(0	u(0	PROPN
ejpam-4758	74	17	)	)	PUNCT
ejpam-4758	74	18	)	)	PUNCT
ejpam-4758	74	19	,	,	PUNCT
ejpam-4758	74	20	we	we	PRON
ejpam-4758	74	21	obtain	obtain	VERB
ejpam-4758	74	22	the	the	DET
ejpam-4758	74	23	control	control	NOUN
ejpam-4758	74	24	equation	equation	NOUN
ejpam-4758	74	25	:	:	PUNCT
ejpam-4758	74	26	αv	αv	ADP
ejpam-4758	74	27	+	+	CCONJ
ejpam-4758	74	28	q	q	NOUN
ejpam-4758	74	29	=	=	ADJ
ejpam-4758	74	30	0	0	NUM
ejpam-4758	74	31	.	.	PUNCT
ejpam-4758	75	1	so	so	ADV
ejpam-4758	75	2	,	,	PUNCT
ejpam-4758	75	3	the	the	DET
ejpam-4758	75	4	algorithm	algorithm	NOUN
ejpam-4758	75	5	can	can	AUX
ejpam-4758	75	6	be	be	AUX
ejpam-4758	75	7	written	write	VERB
ejpam-4758	75	8	as	as	SCONJ
ejpam-4758	75	9	follows	follow	VERB
ejpam-4758	75	10	:	:	PUNCT
ejpam-4758	75	11	aun	aun	PROPN
ejpam-4758	75	12	=	=	SYM
ejpam-4758	75	13	vn	vn	PROPN
ejpam-4758	75	14	,	,	PUNCT
ejpam-4758	75	15	un(0	un(0	PROPN
ejpam-4758	75	16	)	)	PUNCT
ejpam-4758	75	17	=	=	SYM
ejpam-4758	75	18	un(1	un(1	NOUN
ejpam-4758	75	19	)	)	PUNCT
ejpam-4758	75	20	=	=	SYM
ejpam-4758	75	21	u′′n(0	u′′n(0	NOUN
ejpam-4758	75	22	)	)	PUNCT
ejpam-4758	75	23	=	=	SYM
ejpam-4758	75	24	u′′n(1	u′′n(1	NOUN
ejpam-4758	75	25	)	)	PUNCT
ejpam-4758	75	26	=	=	SYM
ejpam-4758	75	27	0	0	NUM
ejpam-4758	75	28	,	,	PUNCT
ejpam-4758	75	29	(	(	PUNCT
ejpam-4758	75	30	9	9	X
ejpam-4758	75	31	)	)	PUNCT
ejpam-4758	75	32	a∗qn	a∗qn	PROPN
ejpam-4758	75	33	=	=	SYM
ejpam-4758	75	34	un	un	PROPN
ejpam-4758	76	1	−	−	PROPN
ejpam-4758	76	2	(	(	PUNCT
ejpam-4758	76	3	uobs	uobs	NOUN
ejpam-4758	76	4	−	−	PROPN
ejpam-4758	76	5	u(0	u(0	PROPN
ejpam-4758	76	6	)	)	PUNCT
ejpam-4758	76	7	)	)	PUNCT
ejpam-4758	76	8	,	,	PUNCT
ejpam-4758	76	9	qn(0	qn(0	NOUN
ejpam-4758	76	10	)	)	PUNCT
ejpam-4758	76	11	=	=	SYM
ejpam-4758	76	12	qn(1	qn(1	NOUN
ejpam-4758	76	13	)	)	PUNCT
ejpam-4758	76	14	=	=	SYM
ejpam-4758	76	15	q′′n(0	q′′n(0	NOUN
ejpam-4758	76	16	)	)	PUNCT
ejpam-4758	76	17	=	=	SYM
ejpam-4758	76	18	q′′n(1	q′′n(1	NOUN
ejpam-4758	76	19	)	)	PUNCT
ejpam-4758	76	20	=	=	SYM
ejpam-4758	76	21	0	0	NUM
ejpam-4758	76	22	,	,	PUNCT
ejpam-4758	76	23	(	(	PUNCT
ejpam-4758	76	24	10	10	NUM
ejpam-4758	76	25	)	)	PUNCT
ejpam-4758	76	26	o.	o.	NOUN
ejpam-4758	76	27	alomari	alomari	PROPN
ejpam-4758	76	28	,	,	PUNCT
ejpam-4758	76	29	pavel	pavel	PROPN
ejpam-4758	76	30	b.dubovski	b.dubovski	PROPN
ejpam-4758	76	31	/	/	SYM
ejpam-4758	76	32	eur	eur	PROPN
ejpam-4758	76	33	.	.	PUNCT
ejpam-4758	77	1	j.	j.	PROPN
ejpam-4758	77	2	pure	pure	PROPN
ejpam-4758	77	3	appl	appl	PROPN
ejpam-4758	77	4	.	.	PROPN
ejpam-4758	77	5	math	math	PROPN
ejpam-4758	77	6	,	,	PUNCT
ejpam-4758	77	7	16	16	NUM
ejpam-4758	77	8	(	(	PUNCT
ejpam-4758	77	9	2	2	NUM
ejpam-4758	77	10	)	)	PUNCT
ejpam-4758	77	11	(	(	PUNCT
ejpam-4758	77	12	2023	2023	NUM
ejpam-4758	77	13	)	)	PUNCT
ejpam-4758	77	14	,	,	PUNCT
ejpam-4758	77	15	1140	1140	NUM
ejpam-4758	77	16	-	-	SYM
ejpam-4758	77	17	1153	1153	NUM
ejpam-4758	77	18	1145	1145	NUM
ejpam-4758	77	19	vn+1	vn+1	X
ejpam-4758	78	1	=	=	SYM
ejpam-4758	78	2	vn	vn	PROPN
ejpam-4758	78	3	−	−	PROPN
ejpam-4758	79	1	τ(αvn	τ(αvn	PROPN
ejpam-4758	80	1	+	+	CCONJ
ejpam-4758	80	2	qn	qn	NOUN
ejpam-4758	80	3	)	)	PUNCT
ejpam-4758	80	4	.	.	PUNCT
ejpam-4758	81	1	(	(	PUNCT
ejpam-4758	81	2	11	11	NUM
ejpam-4758	81	3	)	)	PUNCT
ejpam-4758	81	4	where	where	SCONJ
ejpam-4758	81	5	arbitrary	arbitrary	ADJ
ejpam-4758	81	6	initial	initial	ADJ
ejpam-4758	81	7	value	value	NOUN
ejpam-4758	81	8	v0	v0	NOUN
ejpam-4758	81	9	∈	∈	NOUN
ejpam-4758	81	10	l2	l2	NOUN
ejpam-4758	81	11	and	and	CCONJ
ejpam-4758	81	12	τ	τ	PROPN
ejpam-4758	81	13	is	be	AUX
ejpam-4758	81	14	a	a	DET
ejpam-4758	81	15	constant	constant	ADJ
ejpam-4758	81	16	(	(	PUNCT
ejpam-4758	81	17	stabilizer	stabilizer	NOUN
ejpam-4758	81	18	)	)	PUNCT
ejpam-4758	81	19	.	.	PUNCT
ejpam-4758	82	1	for	for	ADP
ejpam-4758	82	2	fixed	fix	VERB
ejpam-4758	82	3	n	n	CCONJ
ejpam-4758	82	4	iteration	iteration	NOUN
ejpam-4758	82	5	steps	step	NOUN
ejpam-4758	82	6	,	,	PUNCT
ejpam-4758	82	7	the	the	DET
ejpam-4758	82	8	computer	computer	NOUN
ejpam-4758	82	9	program	program	NOUN
ejpam-4758	82	10	of	of	ADP
ejpam-4758	82	11	the	the	DET
ejpam-4758	82	12	algorithm	algorithm	NOUN
ejpam-4758	82	13	(	(	PUNCT
ejpam-4758	82	14	9)-(11	9)-(11	NUM
ejpam-4758	82	15	)	)	PUNCT
ejpam-4758	82	16	is	be	AUX
ejpam-4758	82	17	approximated	approximate	VERB
ejpam-4758	82	18	by	by	ADP
ejpam-4758	82	19	a	a	DET
ejpam-4758	82	20	finite	finite	ADJ
ejpam-4758	82	21	difference	difference	NOUN
ejpam-4758	82	22	scheme	scheme	NOUN
ejpam-4758	82	23	justified	justify	VERB
ejpam-4758	82	24	in	in	ADP
ejpam-4758	82	25	[	[	X
ejpam-4758	82	26	2	2	NUM
ejpam-4758	82	27	,	,	PUNCT
ejpam-4758	82	28	9	9	NUM
ejpam-4758	82	29	,	,	PUNCT
ejpam-4758	82	30	16	16	NUM
ejpam-4758	82	31	]	]	PUNCT
ejpam-4758	82	32	,	,	PUNCT
ejpam-4758	82	33	that	that	PRON
ejpam-4758	82	34	can	can	AUX
ejpam-4758	82	35	be	be	AUX
ejpam-4758	82	36	written	write	VERB
ejpam-4758	82	37	in	in	ADP
ejpam-4758	82	38	the	the	DET
ejpam-4758	82	39	following	follow	VERB
ejpam-4758	82	40	form	form	NOUN
ejpam-4758	82	41	:	:	PUNCT
ejpam-4758	82	42	set	set	VERB
ejpam-4758	82	43	∆x	∆x	PROPN
ejpam-4758	82	44	=	=	SYM
ejpam-4758	82	45	1	1	NUM
ejpam-4758	82	46	n	n	NOUN
ejpam-4758	82	47	,	,	PUNCT
ejpam-4758	82	48	where	where	SCONJ
ejpam-4758	82	49	,	,	PUNCT
ejpam-4758	82	50	n	n	PRON
ejpam-4758	82	51	is	be	AUX
ejpam-4758	82	52	the	the	DET
ejpam-4758	82	53	number	number	NOUN
ejpam-4758	82	54	of	of	ADP
ejpam-4758	82	55	grid	grid	NOUN
ejpam-4758	82	56	points	point	NOUN
ejpam-4758	82	57	.	.	PUNCT
ejpam-4758	83	1	the	the	DET
ejpam-4758	83	2	fourth	fourth	ADJ
ejpam-4758	83	3	derivative	derivative	NOUN
ejpam-4758	83	4	is	be	AUX
ejpam-4758	83	5	approximated	approximate	VERB
ejpam-4758	83	6	as	as	ADP
ejpam-4758	83	7	:	:	PUNCT
ejpam-4758	83	8	d(4)(z(xi	d(4)(z(xi	X
ejpam-4758	83	9	)	)	PUNCT
ejpam-4758	83	10	)	)	PUNCT
ejpam-4758	84	1	≈	≈	PROPN
ejpam-4758	84	2	z(xi+2)−	z(xi+2)−	NUM
ejpam-4758	84	3	4z(xi+1	4z(xi+1	NUM
ejpam-4758	84	4	)	)	PUNCT
ejpam-4758	84	5	+	+	CCONJ
ejpam-4758	84	6	6z(xi)−	6z(xi)−	NUM
ejpam-4758	84	7	4z(xi−1	4z(xi−1	NUM
ejpam-4758	84	8	)	)	PUNCT
ejpam-4758	84	9	+	+	CCONJ
ejpam-4758	84	10	z(xi−2	z(xi−2	NOUN
ejpam-4758	84	11	)	)	PUNCT
ejpam-4758	84	12	(	(	PUNCT
ejpam-4758	84	13	∆x)4	∆x)4	ADV
ejpam-4758	84	14	,	,	PUNCT
ejpam-4758	84	15	and	and	CCONJ
ejpam-4758	84	16	the	the	DET
ejpam-4758	84	17	computer	computer	NOUN
ejpam-4758	84	18	program	program	NOUN
ejpam-4758	84	19	is	be	AUX
ejpam-4758	84	20	approximated	approximate	VERB
ejpam-4758	84	21	as	as	SCONJ
ejpam-4758	84	22	follows	follow	VERB
ejpam-4758	84	23	:	:	PUNCT
ejpam-4758	84	24	d(4)(u(xi))−ku(xi	d(4)(u(xi))−ku(xi	PROPN
ejpam-4758	84	25	)	)	PUNCT
ejpam-4758	84	26	=	=	SYM
ejpam-4758	84	27	v(xi	v(xi	NUM
ejpam-4758	84	28	)	)	PUNCT
ejpam-4758	84	29	,	,	PUNCT
ejpam-4758	84	30	i	i	PRON
ejpam-4758	84	31	=	=	NOUN
ejpam-4758	84	32	1	1	NUM
ejpam-4758	84	33	,	,	PUNCT
ejpam-4758	84	34	2	2	NUM
ejpam-4758	84	35	,	,	PUNCT
ejpam-4758	84	36	.	.	PUNCT
ejpam-4758	84	37	.	.	PUNCT
ejpam-4758	84	38	.	.	PUNCT
ejpam-4758	84	39	,	,	PUNCT
ejpam-4758	84	40	n	n	CCONJ
ejpam-4758	84	41	,	,	PUNCT
ejpam-4758	84	42	d(4)(q(xi))−kq(xi	d(4)(q(xi))−kq(xi	CCONJ
ejpam-4758	84	43	)	)	PUNCT
ejpam-4758	84	44	=	=	SYM
ejpam-4758	84	45	u(xi)−	u(xi)−	NOUN
ejpam-4758	84	46	(	(	PUNCT
ejpam-4758	84	47	uobs(xi)−	uobs(xi)−	NOUN
ejpam-4758	84	48	u(0)(xi	u(0)(xi	PROPN
ejpam-4758	84	49	)	)	PUNCT
ejpam-4758	84	50	)	)	PUNCT
ejpam-4758	84	51	,	,	PUNCT
ejpam-4758	84	52	i	i	PRON
ejpam-4758	84	53	=	=	NOUN
ejpam-4758	84	54	1	1	NUM
ejpam-4758	84	55	,	,	PUNCT
ejpam-4758	84	56	2	2	NUM
ejpam-4758	84	57	,	,	PUNCT
ejpam-4758	84	58	.	.	PUNCT
ejpam-4758	84	59	.	.	PUNCT
ejpam-4758	84	60	.	.	PUNCT
ejpam-4758	85	1	,	,	PUNCT
ejpam-4758	85	2	n	n	CCONJ
ejpam-4758	85	3	,	,	PUNCT
ejpam-4758	85	4	we	we	PRON
ejpam-4758	85	5	find	find	VERB
ejpam-4758	85	6	u	u	PRON
ejpam-4758	85	7	and	and	CCONJ
ejpam-4758	85	8	q	q	NOUN
ejpam-4758	85	9	from	from	ADP
ejpam-4758	85	10	above	above	ADV
ejpam-4758	85	11	,	,	PUNCT
ejpam-4758	85	12	after	after	ADP
ejpam-4758	85	13	that	that	PRON
ejpam-4758	85	14	we	we	PRON
ejpam-4758	85	15	solve	solve	VERB
ejpam-4758	85	16	the	the	DET
ejpam-4758	85	17	control	control	NOUN
ejpam-4758	85	18	equation	equation	NOUN
ejpam-4758	85	19	(	(	PUNCT
ejpam-4758	85	20	11	11	NUM
ejpam-4758	85	21	)	)	PUNCT
ejpam-4758	85	22	,	,	PUNCT
ejpam-4758	85	23	which	which	PRON
ejpam-4758	85	24	is	be	AUX
ejpam-4758	85	25	approximated	approximate	VERB
ejpam-4758	85	26	as	as	SCONJ
ejpam-4758	85	27	follows	follow	VERB
ejpam-4758	85	28	:	:	PUNCT
ejpam-4758	85	29	vn+1(i	vn+1(i	NOUN
ejpam-4758	85	30	)	)	PUNCT
ejpam-4758	86	1	=	=	SYM
ejpam-4758	86	2	vn(i)−	vn(i)−	PROPN
ejpam-4758	86	3	α(τvn(i)−	α(τvn(i)−	NOUN
ejpam-4758	86	4	q(xi	q(xi	PROPN
ejpam-4758	86	5	)	)	PUNCT
ejpam-4758	86	6	)	)	PUNCT
ejpam-4758	86	7	,	,	PUNCT
ejpam-4758	86	8	i	i	PRON
ejpam-4758	86	9	=	=	NOUN
ejpam-4758	86	10	1	1	NUM
ejpam-4758	86	11	,	,	PUNCT
ejpam-4758	86	12	2	2	NUM
ejpam-4758	86	13	,	,	PUNCT
ejpam-4758	86	14	.	.	PUNCT
ejpam-4758	86	15	.	.	PUNCT
ejpam-4758	87	1	.	.	PUNCT
ejpam-4758	88	1	,	,	PUNCT
ejpam-4758	88	2	n.	n.	PROPN
ejpam-4758	88	3	then	then	ADV
ejpam-4758	88	4	,	,	PUNCT
ejpam-4758	88	5	we	we	PRON
ejpam-4758	88	6	are	be	AUX
ejpam-4758	88	7	ready	ready	ADJ
ejpam-4758	88	8	to	to	PART
ejpam-4758	88	9	pass	pass	VERB
ejpam-4758	88	10	to	to	ADP
ejpam-4758	88	11	the	the	DET
ejpam-4758	88	12	next	next	ADJ
ejpam-4758	88	13	,	,	PUNCT
ejpam-4758	88	14	n+	n+	ADJ
ejpam-4758	88	15	1	1	NUM
ejpam-4758	88	16	iteration	iteration	NOUN
ejpam-4758	88	17	step	step	NOUN
ejpam-4758	88	18	.	.	PUNCT
ejpam-4758	89	1	2.1.1	2.1.1	NUM
ejpam-4758	89	2	.	.	PUNCT
ejpam-4758	89	3	numerical	numerical	ADJ
ejpam-4758	89	4	solution	solution	NOUN
ejpam-4758	89	5	for	for	ADP
ejpam-4758	89	6	inverse	inverse	ADJ
ejpam-4758	89	7	problem	problem	NOUN
ejpam-4758	89	8	1	1	NUM
ejpam-4758	89	9	the	the	DET
ejpam-4758	89	10	aim	aim	NOUN
ejpam-4758	89	11	of	of	ADP
ejpam-4758	89	12	inverse	inverse	ADJ
ejpam-4758	89	13	problem	problem	NOUN
ejpam-4758	89	14	1	1	NUM
ejpam-4758	89	15	is	be	AUX
ejpam-4758	89	16	to	to	PART
ejpam-4758	89	17	recover	recover	VERB
ejpam-4758	89	18	the	the	DET
ejpam-4758	89	19	right	right	ADJ
ejpam-4758	89	20	hand	hand	NOUN
ejpam-4758	89	21	side	side	NOUN
ejpam-4758	89	22	function	function	NOUN
ejpam-4758	89	23	of	of	ADP
ejpam-4758	89	24	(	(	PUNCT
ejpam-4758	89	25	7	7	NUM
ejpam-4758	89	26	)	)	PUNCT
ejpam-4758	89	27	in	in	ADP
ejpam-4758	89	28	the	the	DET
ejpam-4758	89	29	neighborhood	neighborhood	NOUN
ejpam-4758	89	30	of	of	ADP
ejpam-4758	89	31	known	know	VERB
ejpam-4758	89	32	g0(x	g0(x	NOUN
ejpam-4758	89	33	)	)	PUNCT
ejpam-4758	89	34	over	over	ADP
ejpam-4758	89	35	[	[	X
ejpam-4758	89	36	0	0	NUM
ejpam-4758	89	37	,	,	PUNCT
ejpam-4758	89	38	1	1	NUM
ejpam-4758	89	39	]	]	PUNCT
ejpam-4758	89	40	.	.	PUNCT
ejpam-4758	90	1	given	give	VERB
ejpam-4758	90	2	the	the	DET
ejpam-4758	90	3	known	know	VERB
ejpam-4758	90	4	functions	function	NOUN
ejpam-4758	90	5	,	,	PUNCT
ejpam-4758	90	6	k	k	PROPN
ejpam-4758	90	7	=	=	SYM
ejpam-4758	90	8	1	1	NUM
ejpam-4758	90	9	,	,	PUNCT
ejpam-4758	90	10	and	and	CCONJ
ejpam-4758	90	11	g0(x	g0(x	X
ejpam-4758	90	12	)	)	PUNCT
ejpam-4758	90	13	=	=	SYM
ejpam-4758	90	14	1	1	NUM
ejpam-4758	90	15	2	2	NUM
ejpam-4758	90	16	sin(2πx	sin(2πx	NUM
ejpam-4758	90	17	)	)	PUNCT
ejpam-4758	90	18	,	,	PUNCT
ejpam-4758	90	19	by	by	ADP
ejpam-4758	90	20	solving	solve	VERB
ejpam-4758	90	21	the	the	DET
ejpam-4758	90	22	forward	forward	ADJ
ejpam-4758	90	23	problem	problem	NOUN
ejpam-4758	90	24	(	(	PUNCT
ejpam-4758	90	25	7	7	X
ejpam-4758	90	26	)	)	PUNCT
ejpam-4758	90	27	we	we	PRON
ejpam-4758	90	28	obtain	obtain	VERB
ejpam-4758	90	29	the	the	DET
ejpam-4758	90	30	initial	initial	ADJ
ejpam-4758	90	31	solution	solution	NOUN
ejpam-4758	90	32	u(0	u(0	PROPN
ejpam-4758	90	33	)	)	PUNCT
ejpam-4758	90	34	.	.	PUNCT
ejpam-4758	91	1	if	if	SCONJ
ejpam-4758	91	2	we	we	PRON
ejpam-4758	91	3	set	set	VERB
ejpam-4758	91	4	v(x	v(x	NOUN
ejpam-4758	91	5	)	)	PUNCT
ejpam-4758	92	1	=	=	SYM
ejpam-4758	92	2	1	1	NUM
ejpam-4758	92	3	4	4	NUM
ejpam-4758	92	4	sin(πx	sin(πx	NOUN
ejpam-4758	92	5	)	)	PUNCT
ejpam-4758	92	6	and	and	CCONJ
ejpam-4758	92	7	calculate	calculate	VERB
ejpam-4758	92	8	the	the	DET
ejpam-4758	92	9	exact	exact	ADJ
ejpam-4758	92	10	solution	solution	NOUN
ejpam-4758	92	11	ue	ue	ADJ
ejpam-4758	92	12	for	for	ADP
ejpam-4758	92	13	k	k	PROPN
ejpam-4758	92	14	=	=	SYM
ejpam-4758	92	15	1	1	NUM
ejpam-4758	92	16	and	and	CCONJ
ejpam-4758	92	17	ge	ge	PROPN
ejpam-4758	92	18	=	=	SYM
ejpam-4758	92	19	g0(x	g0(x	NOUN
ejpam-4758	92	20	)	)	PUNCT
ejpam-4758	92	21	+	+	CCONJ
ejpam-4758	92	22	v(x	v(x	PROPN
ejpam-4758	92	23	)	)	PUNCT
ejpam-4758	92	24	,	,	PUNCT
ejpam-4758	92	25	then	then	ADV
ejpam-4758	92	26	we	we	PRON
ejpam-4758	92	27	can	can	AUX
ejpam-4758	92	28	compare	compare	VERB
ejpam-4758	92	29	this	this	DET
ejpam-4758	92	30	solution	solution	NOUN
ejpam-4758	92	31	with	with	ADP
ejpam-4758	92	32	the	the	DET
ejpam-4758	92	33	calculated	calculate	VERB
ejpam-4758	92	34	solution	solution	NOUN
ejpam-4758	92	35	using	use	VERB
ejpam-4758	92	36	our	our	PRON
ejpam-4758	92	37	algorithm	algorithm	NOUN
ejpam-4758	92	38	.	.	PUNCT
ejpam-4758	93	1	the	the	DET
ejpam-4758	93	2	exact	exact	ADJ
ejpam-4758	93	3	solution	solution	NOUN
ejpam-4758	93	4	ue	ue	ADJ
ejpam-4758	93	5	and	and	CCONJ
ejpam-4758	93	6	the	the	DET
ejpam-4758	93	7	initial	initial	ADJ
ejpam-4758	93	8	starting	starting	NOUN
ejpam-4758	93	9	solution	solution	NOUN
ejpam-4758	93	10	u(0	u(0	PROPN
ejpam-4758	93	11	)	)	PUNCT
ejpam-4758	93	12	are	be	AUX
ejpam-4758	93	13	shown	show	VERB
ejpam-4758	93	14	in	in	ADP
ejpam-4758	93	15	figure	figure	NOUN
ejpam-4758	93	16	7	7	NUM
ejpam-4758	93	17	,	,	PUNCT
ejpam-4758	93	18	we	we	PRON
ejpam-4758	93	19	set	set	VERB
ejpam-4758	93	20	uobs	uob	NOUN
ejpam-4758	93	21	to	to	PART
ejpam-4758	93	22	be	be	AUX
ejpam-4758	93	23	the	the	DET
ejpam-4758	93	24	interpolating	interpolate	VERB
ejpam-4758	93	25	cubic	cubic	ADJ
ejpam-4758	93	26	spline	spline	NOUN
ejpam-4758	93	27	of	of	ADP
ejpam-4758	93	28	n	n	PROPN
ejpam-4758	93	29	finite	finite	ADJ
ejpam-4758	93	30	values	value	NOUN
ejpam-4758	93	31	of	of	ADP
ejpam-4758	93	32	ue	ue	PROPN
ejpam-4758	93	33	after	after	ADP
ejpam-4758	93	34	adding	add	VERB
ejpam-4758	93	35	noise	noise	NOUN
ejpam-4758	93	36	.	.	PUNCT
ejpam-4758	94	1	figure	figure	NOUN
ejpam-4758	94	2	2	2	NUM
ejpam-4758	94	3	shows	show	VERB
ejpam-4758	94	4	a	a	DET
ejpam-4758	94	5	side	side	NOUN
ejpam-4758	94	6	by	by	ADP
ejpam-4758	94	7	side	side	ADJ
ejpam-4758	94	8	comparison	comparison	NOUN
ejpam-4758	94	9	of	of	ADP
ejpam-4758	94	10	the	the	DET
ejpam-4758	94	11	exact	exact	ADJ
ejpam-4758	94	12	solution	solution	NOUN
ejpam-4758	94	13	ue	ue	PROPN
ejpam-4758	94	14	and	and	CCONJ
ejpam-4758	94	15	the	the	DET
ejpam-4758	94	16	noisy	noisy	ADJ
ejpam-4758	94	17	measurements	measurement	NOUN
ejpam-4758	94	18	(	(	PUNCT
ejpam-4758	94	19	uobs	uobs	NOUN
ejpam-4758	94	20	)	)	PUNCT
ejpam-4758	94	21	.	.	PUNCT
ejpam-4758	95	1	we	we	PRON
ejpam-4758	95	2	then	then	ADV
ejpam-4758	95	3	pretend	pretend	VERB
ejpam-4758	95	4	that	that	SCONJ
ejpam-4758	95	5	we	we	PRON
ejpam-4758	95	6	know	know	VERB
ejpam-4758	95	7	neither	neither	CCONJ
ejpam-4758	95	8	the	the	DET
ejpam-4758	95	9	value	value	NOUN
ejpam-4758	95	10	of	of	ADP
ejpam-4758	95	11	v(x	v(x	PROPN
ejpam-4758	95	12	)	)	PUNCT
ejpam-4758	95	13	nor	nor	CCONJ
ejpam-4758	95	14	ue(x	ue(x	NUM
ejpam-4758	95	15	)	)	PUNCT
ejpam-4758	95	16	,	,	PUNCT
ejpam-4758	95	17	we	we	PRON
ejpam-4758	95	18	run	run	VERB
ejpam-4758	95	19	the	the	DET
ejpam-4758	95	20	algorithm	algorithm	NOUN
ejpam-4758	95	21	to	to	PART
ejpam-4758	95	22	recover	recover	VERB
ejpam-4758	95	23	v(x	v(x	PROPN
ejpam-4758	95	24	)	)	PUNCT
ejpam-4758	95	25	based	base	VERB
ejpam-4758	95	26	on	on	ADP
ejpam-4758	95	27	an	an	DET
ejpam-4758	95	28	initial	initial	ADJ
ejpam-4758	95	29	guess	guess	NOUN
ejpam-4758	95	30	of	of	ADP
ejpam-4758	95	31	v0	v0	NOUN
ejpam-4758	95	32	=	=	SYM
ejpam-4758	95	33	vguess	vguess	NOUN
ejpam-4758	95	34	=	=	SYM
ejpam-4758	95	35	0	0	NUM
ejpam-4758	95	36	shown	show	VERB
ejpam-4758	95	37	in	in	ADP
ejpam-4758	95	38	figure	figure	NOUN
ejpam-4758	95	39	5	5	NUM
ejpam-4758	95	40	.	.	PUNCT
ejpam-4758	95	41	figure	figure	VERB
ejpam-4758	95	42	6	6	NUM
ejpam-4758	95	43	shows	show	VERB
ejpam-4758	95	44	a	a	DET
ejpam-4758	95	45	side	side	NOUN
ejpam-4758	95	46	by	by	ADP
ejpam-4758	95	47	side	side	ADJ
ejpam-4758	95	48	comparison	comparison	NOUN
ejpam-4758	95	49	of	of	ADP
ejpam-4758	95	50	the	the	DET
ejpam-4758	95	51	functions	function	NOUN
ejpam-4758	95	52	ve	ve	VERB
ejpam-4758	95	53	(	(	PUNCT
ejpam-4758	95	54	expected	expect	VERB
ejpam-4758	95	55	value	value	NOUN
ejpam-4758	95	56	of	of	ADP
ejpam-4758	95	57	v	v	NOUN
ejpam-4758	95	58	)	)	PUNCT
ejpam-4758	95	59	,	,	PUNCT
ejpam-4758	95	60	and	and	CCONJ
ejpam-4758	95	61	vc	vc	INTJ
ejpam-4758	95	62	,	,	PUNCT
ejpam-4758	95	63	the	the	DET
ejpam-4758	95	64	calculated	calculated	ADJ
ejpam-4758	95	65	value	value	NOUN
ejpam-4758	95	66	(	(	PUNCT
ejpam-4758	95	67	recovered	recover	VERB
ejpam-4758	95	68	)	)	PUNCT
ejpam-4758	95	69	of	of	ADP
ejpam-4758	95	70	v.	v.	ADP
ejpam-4758	95	71	figure	figure	NOUN
ejpam-4758	95	72	8	8	NUM
ejpam-4758	95	73	shows	show	VERB
ejpam-4758	95	74	a	a	DET
ejpam-4758	95	75	side	side	NOUN
ejpam-4758	95	76	by	by	ADP
ejpam-4758	95	77	side	side	ADJ
ejpam-4758	95	78	comparison	comparison	NOUN
ejpam-4758	95	79	of	of	ADP
ejpam-4758	95	80	the	the	DET
ejpam-4758	95	81	functions	function	NOUN
ejpam-4758	95	82	ue	ue	INTJ
ejpam-4758	95	83	(	(	PUNCT
ejpam-4758	95	84	expected	expect	VERB
ejpam-4758	95	85	value	value	NOUN
ejpam-4758	95	86	of	of	ADP
ejpam-4758	95	87	u	u	NOUN
ejpam-4758	95	88	)	)	PUNCT
ejpam-4758	95	89	,	,	PUNCT
ejpam-4758	95	90	and	and	CCONJ
ejpam-4758	95	91	vc	vc	INTJ
ejpam-4758	95	92	,	,	PUNCT
ejpam-4758	95	93	the	the	DET
ejpam-4758	95	94	calculated	calculated	ADJ
ejpam-4758	95	95	value	value	NOUN
ejpam-4758	95	96	of	of	ADP
ejpam-4758	95	97	u.	u.	NOUN
ejpam-4758	95	98	as	as	SCONJ
ejpam-4758	95	99	shown	show	VERB
ejpam-4758	95	100	in	in	ADP
ejpam-4758	95	101	the	the	DET
ejpam-4758	95	102	figure	figure	NOUN
ejpam-4758	95	103	the	the	DET
ejpam-4758	95	104	graphs	graph	NOUN
ejpam-4758	95	105	of	of	ADP
ejpam-4758	95	106	both	both	DET
ejpam-4758	95	107	recovered	recovered	ADJ
ejpam-4758	95	108	functions	function	NOUN
ejpam-4758	95	109	,	,	PUNCT
ejpam-4758	95	110	u	u	NOUN
ejpam-4758	95	111	and	and	CCONJ
ejpam-4758	95	112	v	v	NOUN
ejpam-4758	95	113	,	,	PUNCT
ejpam-4758	95	114	are	be	AUX
ejpam-4758	95	115	almost	almost	ADV
ejpam-4758	95	116	identical	identical	ADJ
ejpam-4758	95	117	to	to	ADP
ejpam-4758	95	118	the	the	DET
ejpam-4758	95	119	expected	expect	VERB
ejpam-4758	95	120	values	value	NOUN
ejpam-4758	95	121	.	.	PUNCT
ejpam-4758	96	1	it	it	PRON
ejpam-4758	96	2	is	be	AUX
ejpam-4758	96	3	worth	worth	ADJ
ejpam-4758	96	4	mentioning	mention	VERB
ejpam-4758	96	5	that	that	DET
ejpam-4758	96	6	figure	figure	NOUN
ejpam-4758	96	7	3	3	NUM
ejpam-4758	96	8	shows	show	VERB
ejpam-4758	96	9	the	the	DET
ejpam-4758	96	10	expected	expect	VERB
ejpam-4758	96	11	value	value	NOUN
ejpam-4758	96	12	of	of	ADP
ejpam-4758	96	13	ge	ge	PROPN
ejpam-4758	96	14	based	base	VERB
ejpam-4758	96	15	on	on	ADP
ejpam-4758	96	16	the	the	DET
ejpam-4758	96	17	exact	exact	ADJ
ejpam-4758	96	18	solution	solution	NOUN
ejpam-4758	97	1	ue	ue	ADJ
ejpam-4758	97	2	is	be	AUX
ejpam-4758	97	3	as	as	SCONJ
ejpam-4758	97	4	expected	expect	VERB
ejpam-4758	97	5	(	(	PUNCT
ejpam-4758	97	6	aue	aue	PROPN
ejpam-4758	97	7	=	=	PUNCT
ejpam-4758	97	8	ge	ge	PROPN
ejpam-4758	97	9	)	)	PUNCT
ejpam-4758	97	10	,	,	PUNCT
ejpam-4758	97	11	however	however	ADV
ejpam-4758	97	12	,	,	PUNCT
ejpam-4758	97	13	when	when	SCONJ
ejpam-4758	97	14	we	we	PRON
ejpam-4758	97	15	plug	plug	VERB
ejpam-4758	97	16	the	the	DET
ejpam-4758	97	17	noisy	noisy	ADJ
ejpam-4758	97	18	solution	solution	NOUN
ejpam-4758	97	19	uobs	uob	NOUN
ejpam-4758	97	20	in	in	ADP
ejpam-4758	97	21	o.	o.	PROPN
ejpam-4758	97	22	alomari	alomari	PROPN
ejpam-4758	97	23	,	,	PUNCT
ejpam-4758	97	24	pavel	pavel	PROPN
ejpam-4758	97	25	b.dubovski	b.dubovski	PROPN
ejpam-4758	97	26	/	/	SYM
ejpam-4758	97	27	eur	eur	PROPN
ejpam-4758	97	28	.	.	PUNCT
ejpam-4758	98	1	j.	j.	PROPN
ejpam-4758	98	2	pure	pure	PROPN
ejpam-4758	98	3	appl	appl	PROPN
ejpam-4758	98	4	.	.	PROPN
ejpam-4758	98	5	math	math	PROPN
ejpam-4758	98	6	,	,	PUNCT
ejpam-4758	98	7	16	16	NUM
ejpam-4758	98	8	(	(	PUNCT
ejpam-4758	98	9	2	2	NUM
ejpam-4758	98	10	)	)	PUNCT
ejpam-4758	98	11	(	(	PUNCT
ejpam-4758	98	12	2023	2023	NUM
ejpam-4758	98	13	)	)	PUNCT
ejpam-4758	98	14	,	,	PUNCT
ejpam-4758	98	15	1140	1140	NUM
ejpam-4758	98	16	-	-	SYM
ejpam-4758	98	17	1153	1153	NUM
ejpam-4758	98	18	1146	1146	NUM
ejpam-4758	98	19	auobs	auob	NOUN
ejpam-4758	98	20	,	,	PUNCT
ejpam-4758	98	21	we	we	PRON
ejpam-4758	98	22	get	get	VERB
ejpam-4758	98	23	instability	instability	NOUN
ejpam-4758	98	24	as	as	SCONJ
ejpam-4758	98	25	shown	show	VERB
ejpam-4758	98	26	in	in	ADP
ejpam-4758	98	27	figure	figure	NOUN
ejpam-4758	98	28	4	4	NUM
ejpam-4758	98	29	.	.	PUNCT
ejpam-4758	99	1	our	our	PRON
ejpam-4758	99	2	method	method	NOUN
ejpam-4758	99	3	still	still	ADV
ejpam-4758	99	4	works	work	VERB
ejpam-4758	99	5	well	well	ADV
ejpam-4758	99	6	with	with	ADP
ejpam-4758	99	7	such	such	ADJ
ejpam-4758	99	8	noisy	noisy	ADJ
ejpam-4758	99	9	measurements	measurement	NOUN
ejpam-4758	99	10	.	.	PUNCT
ejpam-4758	100	1	this	this	PRON
ejpam-4758	100	2	is	be	AUX
ejpam-4758	100	3	clear	clear	ADJ
ejpam-4758	100	4	in	in	ADP
ejpam-4758	100	5	figure	figure	NOUN
ejpam-4758	100	6	9	9	NUM
ejpam-4758	100	7	that	that	PRON
ejpam-4758	100	8	shows	show	VERB
ejpam-4758	100	9	side	side	NOUN
ejpam-4758	100	10	by	by	ADP
ejpam-4758	100	11	side	side	ADJ
ejpam-4758	100	12	comparison	comparison	NOUN
ejpam-4758	100	13	with	with	ADP
ejpam-4758	100	14	auc	auc	NOUN
ejpam-4758	100	15	and	and	CCONJ
ejpam-4758	100	16	aue	aue	NOUN
ejpam-4758	100	17	.	.	PUNCT
ejpam-4758	100	18	0	0	NUM
ejpam-4758	100	19	0.1	0.1	NUM
ejpam-4758	100	20	0.2	0.2	NUM
ejpam-4758	100	21	0.3	0.3	NUM
ejpam-4758	100	22	0.4	0.4	NUM
ejpam-4758	100	23	0.5	0.5	NUM
ejpam-4758	100	24	0.6	0.6	NUM
ejpam-4758	100	25	0.7	0.7	NUM
ejpam-4758	100	26	0.8	0.8	NUM
ejpam-4758	100	27	0.9	0.9	NUM
ejpam-4758	100	28	1	1	NUM
ejpam-4758	100	29	x	x	NOUN
ejpam-4758	100	30	-0.0005	-0.0005	NOUN
ejpam-4758	100	31	0	0	NUM
ejpam-4758	101	1	0.0005	0.0005	NUM
ejpam-4758	101	2	0.001	0.001	NUM
ejpam-4758	101	3	0.0015	0.0015	NUM
ejpam-4758	101	4	0.002	0.002	NUM
ejpam-4758	101	5	0.0025	0.0025	NUM
ejpam-4758	101	6	0.003	0.003	NUM
ejpam-4758	101	7	u	u	NOUN
ejpam-4758	101	8	e	e	ADP
ejpam-4758	101	9	u	u	NOUN
ejpam-4758	101	10	obs	obs	NOUN
ejpam-4758	101	11	figure	figure	VERB
ejpam-4758	101	12	2	2	NUM
ejpam-4758	101	13	:	:	PUNCT
ejpam-4758	101	14	inverse	inverse	ADJ
ejpam-4758	101	15	problem	problem	NOUN
ejpam-4758	101	16	1	1	NUM
ejpam-4758	101	17	,	,	PUNCT
ejpam-4758	101	18	the	the	DET
ejpam-4758	101	19	graph	graph	NOUN
ejpam-4758	101	20	shows	show	VERB
ejpam-4758	101	21	noisy	noisy	ADJ
ejpam-4758	101	22	uobs	uob	NOUN
ejpam-4758	101	23	compare	compare	VERB
ejpam-4758	101	24	to	to	PART
ejpam-4758	101	25	exact	exact	VERB
ejpam-4758	101	26	ue	ue	INTJ
ejpam-4758	101	27	.	.	PUNCT
ejpam-4758	102	1	0	0	NUM
ejpam-4758	102	2	0.1	0.1	NUM
ejpam-4758	102	3	0.2	0.2	NUM
ejpam-4758	102	4	0.3	0.3	NUM
ejpam-4758	102	5	0.4	0.4	NUM
ejpam-4758	102	6	0.5	0.5	NUM
ejpam-4758	102	7	0.6	0.6	NUM
ejpam-4758	102	8	0.7	0.7	NUM
ejpam-4758	102	9	0.8	0.8	NUM
ejpam-4758	102	10	0.9	0.9	NUM
ejpam-4758	102	11	1	1	NUM
ejpam-4758	102	12	x	x	SYM
ejpam-4758	102	13	-0.4	-0.4	NUM
ejpam-4758	102	14	-0.2	-0.2	NOUN
ejpam-4758	102	15	0	0	NUM
ejpam-4758	102	16	0.2	0.2	NUM
ejpam-4758	102	17	0.4	0.4	NUM
ejpam-4758	102	18	0.6	0.6	NUM
ejpam-4758	102	19	0.8	0.8	NUM
ejpam-4758	102	20	au	au	ADV
ejpam-4758	102	21	e	e	NOUN
ejpam-4758	102	22	figure	figure	NOUN
ejpam-4758	102	23	3	3	NUM
ejpam-4758	102	24	:	:	PUNCT
ejpam-4758	102	25	inverse	inverse	ADJ
ejpam-4758	102	26	problem	problem	NOUN
ejpam-4758	102	27	1	1	NUM
ejpam-4758	102	28	,	,	PUNCT
ejpam-4758	102	29	the	the	DET
ejpam-4758	102	30	graph	graph	NOUN
ejpam-4758	102	31	shows	show	VERB
ejpam-4758	102	32	aue	aue	NOUN
ejpam-4758	102	33	.	.	PUNCT
ejpam-4758	103	1	o.	o.	PROPN
ejpam-4758	103	2	alomari	alomari	PROPN
ejpam-4758	103	3	,	,	PUNCT
ejpam-4758	103	4	pavel	pavel	PROPN
ejpam-4758	103	5	b.dubovski	b.dubovski	PROPN
ejpam-4758	103	6	/	/	SYM
ejpam-4758	103	7	eur	eur	PROPN
ejpam-4758	103	8	.	.	PUNCT
ejpam-4758	104	1	j.	j.	PROPN
ejpam-4758	104	2	pure	pure	PROPN
ejpam-4758	104	3	appl	appl	PROPN
ejpam-4758	104	4	.	.	PROPN
ejpam-4758	104	5	math	math	PROPN
ejpam-4758	104	6	,	,	PUNCT
ejpam-4758	104	7	16	16	NUM
ejpam-4758	104	8	(	(	PUNCT
ejpam-4758	104	9	2	2	NUM
ejpam-4758	104	10	)	)	PUNCT
ejpam-4758	104	11	(	(	PUNCT
ejpam-4758	104	12	2023	2023	NUM
ejpam-4758	104	13	)	)	PUNCT
ejpam-4758	104	14	,	,	PUNCT
ejpam-4758	104	15	1140	1140	NUM
ejpam-4758	104	16	-	-	SYM
ejpam-4758	104	17	1153	1153	NUM
ejpam-4758	104	18	1147	1147	NUM
ejpam-4758	104	19	0	0	NUM
ejpam-4758	105	1	0.1	0.1	NUM
ejpam-4758	105	2	0.2	0.2	NUM
ejpam-4758	105	3	0.3	0.3	NUM
ejpam-4758	105	4	0.4	0.4	NUM
ejpam-4758	105	5	0.5	0.5	NUM
ejpam-4758	105	6	0.6	0.6	NUM
ejpam-4758	105	7	0.7	0.7	NUM
ejpam-4758	105	8	0.8	0.8	NUM
ejpam-4758	105	9	0.9	0.9	NUM
ejpam-4758	105	10	1	1	NUM
ejpam-4758	105	11	x	x	SYM
ejpam-4758	105	12	-400	-400	NUM
ejpam-4758	105	13	-300	-300	INTJ
ejpam-4758	106	1	-200	-200	NUM
ejpam-4758	106	2	-100	-100	PROPN
ejpam-4758	106	3	0	0	NUM
ejpam-4758	106	4	100	100	NUM
ejpam-4758	106	5	200	200	NUM
ejpam-4758	106	6	300	300	NUM
ejpam-4758	106	7	400	400	NUM
ejpam-4758	106	8	500	500	NUM
ejpam-4758	106	9	au	au	X
ejpam-4758	106	10	obs	obs	PROPN
ejpam-4758	106	11	figure	figure	VERB
ejpam-4758	106	12	4	4	NUM
ejpam-4758	106	13	:	:	PUNCT
ejpam-4758	106	14	inverse	inverse	ADJ
ejpam-4758	106	15	problem	problem	NOUN
ejpam-4758	106	16	1	1	NUM
ejpam-4758	106	17	,	,	PUNCT
ejpam-4758	106	18	the	the	DET
ejpam-4758	106	19	graph	graph	NOUN
ejpam-4758	106	20	shows	show	VERB
ejpam-4758	106	21	auobs	auob	NOUN
ejpam-4758	106	22	.	.	PUNCT
ejpam-4758	107	1	0	0	NUM
ejpam-4758	107	2	0.1	0.1	NUM
ejpam-4758	107	3	0.2	0.2	NUM
ejpam-4758	107	4	0.3	0.3	NUM
ejpam-4758	107	5	0.4	0.4	NUM
ejpam-4758	107	6	0.5	0.5	NUM
ejpam-4758	107	7	0.6	0.6	NUM
ejpam-4758	107	8	0.7	0.7	NUM
ejpam-4758	107	9	0.8	0.8	NUM
ejpam-4758	107	10	0.9	0.9	NUM
ejpam-4758	107	11	1	1	NUM
ejpam-4758	107	12	x	x	SYM
ejpam-4758	107	13	0	0	NUM
ejpam-4758	107	14	0.05	0.05	NUM
ejpam-4758	107	15	0.1	0.1	NUM
ejpam-4758	107	16	0.15	0.15	NUM
ejpam-4758	107	17	0.2	0.2	NUM
ejpam-4758	107	18	0.25	0.25	NUM
ejpam-4758	107	19	v	v	NOUN
ejpam-4758	107	20	e	e	X
ejpam-4758	107	21	v	v	NOUN
ejpam-4758	107	22	guess	guess	NOUN
ejpam-4758	107	23	figure	figure	NOUN
ejpam-4758	107	24	5	5	NUM
ejpam-4758	107	25	:	:	PUNCT
ejpam-4758	107	26	inverse	inverse	ADJ
ejpam-4758	107	27	problem	problem	NOUN
ejpam-4758	107	28	1	1	NUM
ejpam-4758	107	29	,	,	PUNCT
ejpam-4758	107	30	the	the	DET
ejpam-4758	107	31	graph	graph	NOUN
ejpam-4758	107	32	shows	show	VERB
ejpam-4758	107	33	the	the	DET
ejpam-4758	107	34	initial	initial	ADJ
ejpam-4758	107	35	process	process	NOUN
ejpam-4758	107	36	of	of	ADP
ejpam-4758	107	37	expected	expect	VERB
ejpam-4758	107	38	value	value	NOUN
ejpam-4758	107	39	of	of	ADP
ejpam-4758	107	40	v,(ve	v,(ve	NOUN
ejpam-4758	107	41	)	)	PUNCT
ejpam-4758	107	42	and	and	CCONJ
ejpam-4758	107	43	the	the	DET
ejpam-4758	107	44	starting	starting	NOUN
ejpam-4758	107	45	value	value	NOUN
ejpam-4758	107	46	of	of	ADP
ejpam-4758	107	47	v	v	NOUN
ejpam-4758	107	48	,	,	PUNCT
ejpam-4758	107	49	(	(	PUNCT
ejpam-4758	107	50	v0	v0	NOUN
ejpam-4758	107	51	=	=	SYM
ejpam-4758	107	52	vguess	vguess	NOUN
ejpam-4758	107	53	)	)	PUNCT
ejpam-4758	107	54	.	.	PUNCT
ejpam-4758	108	1	2.2	2.2	NUM
ejpam-4758	108	2	.	.	PUNCT
ejpam-4758	108	3	inverse	inverse	ADJ
ejpam-4758	108	4	problem	problem	NOUN
ejpam-4758	108	5	2	2	NUM
ejpam-4758	108	6	suppose	suppose	VERB
ejpam-4758	108	7	that	that	SCONJ
ejpam-4758	108	8	the	the	DET
ejpam-4758	108	9	functions	function	NOUN
ejpam-4758	108	10	g	g	NOUN
ejpam-4758	108	11	in	in	ADP
ejpam-4758	108	12	(	(	PUNCT
ejpam-4758	108	13	7	7	NUM
ejpam-4758	108	14	)	)	PUNCT
ejpam-4758	108	15	is	be	AUX
ejpam-4758	108	16	known	know	VERB
ejpam-4758	108	17	,	,	PUNCT
ejpam-4758	108	18	we	we	PRON
ejpam-4758	108	19	use	use	VERB
ejpam-4758	108	20	series	series	NOUN
ejpam-4758	108	21	expansion	expansion	NOUN
ejpam-4758	108	22	method	method	NOUN
ejpam-4758	108	23	of	of	ADP
ejpam-4758	108	24	k	k	PROPN
ejpam-4758	108	25	and	and	CCONJ
ejpam-4758	108	26	the	the	DET
ejpam-4758	108	27	subsequent	subsequent	ADJ
ejpam-4758	108	28	transformation	transformation	NOUN
ejpam-4758	108	29	of	of	ADP
ejpam-4758	108	30	this	this	DET
ejpam-4758	108	31	problem	problem	NOUN
ejpam-4758	108	32	to	to	ADP
ejpam-4758	108	33	the	the	DET
ejpam-4758	108	34	first	first	ADJ
ejpam-4758	108	35	problem	problem	NOUN
ejpam-4758	108	36	(	(	PUNCT
ejpam-4758	108	37	recovery	recovery	NOUN
ejpam-4758	108	38	of	of	ADP
ejpam-4758	108	39	the	the	DET
ejpam-4758	108	40	right	right	ADJ
ejpam-4758	108	41	-	-	PUNCT
ejpam-4758	108	42	hand	hand	NOUN
ejpam-4758	108	43	side	side	NOUN
ejpam-4758	108	44	)	)	PUNCT
ejpam-4758	108	45	.	.	PUNCT
ejpam-4758	109	1	let	let	VERB
ejpam-4758	109	2	u(x	u(x	NOUN
ejpam-4758	109	3	)	)	PUNCT
ejpam-4758	109	4	=	=	SYM
ejpam-4758	109	5	r(x	r(x	PROPN
ejpam-4758	109	6	)	)	PUNCT
ejpam-4758	109	7	+	+	PUNCT
ejpam-4758	109	8	βs(x	βs(x	NUM
ejpam-4758	109	9	)	)	PUNCT
ejpam-4758	109	10	,	,	PUNCT
ejpam-4758	109	11	and	and	CCONJ
ejpam-4758	109	12	k	k	PROPN
ejpam-4758	109	13	=	=	PROPN
ejpam-4758	109	14	k0	k0	PROPN
ejpam-4758	109	15	+	+	PROPN
ejpam-4758	109	16	βk1(x	βk1(x	NOUN
ejpam-4758	109	17	)	)	PUNCT
ejpam-4758	109	18	.	.	PUNCT
ejpam-4758	110	1	from	from	ADP
ejpam-4758	110	2	(	(	PUNCT
ejpam-4758	110	3	7	7	NUM
ejpam-4758	110	4	)	)	PUNCT
ejpam-4758	110	5	,	,	PUNCT
ejpam-4758	110	6	o.	o.	NOUN
ejpam-4758	110	7	alomari	alomari	PROPN
ejpam-4758	110	8	,	,	PUNCT
ejpam-4758	110	9	pavel	pavel	PROPN
ejpam-4758	110	10	b.dubovski	b.dubovski	PROPN
ejpam-4758	110	11	/	/	SYM
ejpam-4758	110	12	eur	eur	PROPN
ejpam-4758	110	13	.	.	PUNCT
ejpam-4758	111	1	j.	j.	PROPN
ejpam-4758	111	2	pure	pure	PROPN
ejpam-4758	111	3	appl	appl	PROPN
ejpam-4758	111	4	.	.	PROPN
ejpam-4758	111	5	math	math	PROPN
ejpam-4758	111	6	,	,	PUNCT
ejpam-4758	111	7	16	16	NUM
ejpam-4758	111	8	(	(	PUNCT
ejpam-4758	111	9	2	2	NUM
ejpam-4758	111	10	)	)	PUNCT
ejpam-4758	111	11	(	(	PUNCT
ejpam-4758	111	12	2023	2023	NUM
ejpam-4758	111	13	)	)	PUNCT
ejpam-4758	111	14	,	,	PUNCT
ejpam-4758	111	15	1140	1140	NUM
ejpam-4758	111	16	-	-	SYM
ejpam-4758	111	17	1153	1153	NUM
ejpam-4758	111	18	1148	1148	NUM
ejpam-4758	111	19	0	0	NUM
ejpam-4758	111	20	0.1	0.1	NUM
ejpam-4758	111	21	0.2	0.2	NUM
ejpam-4758	111	22	0.3	0.3	NUM
ejpam-4758	111	23	0.4	0.4	NUM
ejpam-4758	111	24	0.5	0.5	NUM
ejpam-4758	111	25	0.6	0.6	NUM
ejpam-4758	111	26	0.7	0.7	NUM
ejpam-4758	111	27	0.8	0.8	NUM
ejpam-4758	111	28	0.9	0.9	NUM
ejpam-4758	111	29	1	1	NUM
ejpam-4758	111	30	x	x	SYM
ejpam-4758	111	31	0	0	NUM
ejpam-4758	111	32	0.05	0.05	NUM
ejpam-4758	111	33	0.1	0.1	NUM
ejpam-4758	111	34	0.15	0.15	NUM
ejpam-4758	111	35	0.2	0.2	NUM
ejpam-4758	111	36	0.25	0.25	NUM
ejpam-4758	111	37	0.3	0.3	NUM
ejpam-4758	111	38	v	v	NOUN
ejpam-4758	111	39	e	e	X
ejpam-4758	111	40	v	v	NOUN
ejpam-4758	111	41	c	c	PROPN
ejpam-4758	111	42	figure	figure	NOUN
ejpam-4758	111	43	6	6	NUM
ejpam-4758	111	44	:	:	PUNCT
ejpam-4758	111	45	inverse	inverse	ADJ
ejpam-4758	111	46	problem	problem	NOUN
ejpam-4758	111	47	1	1	NUM
ejpam-4758	111	48	,	,	PUNCT
ejpam-4758	111	49	the	the	DET
ejpam-4758	111	50	graph	graph	NOUN
ejpam-4758	111	51	shows	show	VERB
ejpam-4758	111	52	a	a	DET
ejpam-4758	111	53	side	side	NOUN
ejpam-4758	111	54	by	by	ADP
ejpam-4758	111	55	side	side	ADJ
ejpam-4758	111	56	comparison	comparison	NOUN
ejpam-4758	111	57	of	of	ADP
ejpam-4758	111	58	the	the	DET
ejpam-4758	111	59	functions	function	NOUN
ejpam-4758	111	60	ve	ve	VERB
ejpam-4758	111	61	(	(	PUNCT
ejpam-4758	111	62	expected	expect	VERB
ejpam-4758	111	63	value	value	NOUN
ejpam-4758	111	64	of	of	ADP
ejpam-4758	111	65	v	v	NOUN
ejpam-4758	111	66	)	)	PUNCT
ejpam-4758	111	67	,	,	PUNCT
ejpam-4758	111	68	and	and	CCONJ
ejpam-4758	111	69	the	the	DET
ejpam-4758	111	70	calculated	calculate	VERB
ejpam-4758	111	71	value	value	NOUN
ejpam-4758	111	72	of	of	ADP
ejpam-4758	111	73	of	of	ADP
ejpam-4758	111	74	v	v	NOUN
ejpam-4758	111	75	,	,	PUNCT
ejpam-4758	111	76	(	(	PUNCT
ejpam-4758	111	77	vc	vc	NOUN
ejpam-4758	111	78	)	)	PUNCT
ejpam-4758	111	79	0	0	NUM
ejpam-4758	111	80	0.1	0.1	NUM
ejpam-4758	111	81	0.2	0.2	NUM
ejpam-4758	111	82	0.3	0.3	NUM
ejpam-4758	111	83	0.4	0.4	NUM
ejpam-4758	111	84	0.5	0.5	NUM
ejpam-4758	111	85	0.6	0.6	NUM
ejpam-4758	111	86	0.7	0.7	NUM
ejpam-4758	111	87	0.8	0.8	NUM
ejpam-4758	111	88	0.9	0.9	NUM
ejpam-4758	111	89	1	1	NUM
ejpam-4758	111	90	x	x	NOUN
ejpam-4758	111	91	-0.0005	-0.0005	NOUN
ejpam-4758	111	92	0	0	NUM
ejpam-4758	112	1	0.0005	0.0005	NUM
ejpam-4758	112	2	0.001	0.001	NUM
ejpam-4758	112	3	0.0015	0.0015	NUM
ejpam-4758	112	4	0.002	0.002	NUM
ejpam-4758	112	5	0.0025	0.0025	NUM
ejpam-4758	112	6	0.003	0.003	NUM
ejpam-4758	112	7	u	u	NOUN
ejpam-4758	112	8	e	e	PROPN
ejpam-4758	112	9	u	u	X
ejpam-4758	112	10	(	(	PUNCT
ejpam-4758	112	11	0	0	NUM
ejpam-4758	112	12	)	)	PUNCT
ejpam-4758	112	13	figure	figure	NOUN
ejpam-4758	112	14	7	7	NUM
ejpam-4758	112	15	:	:	PUNCT
ejpam-4758	112	16	inverse	inverse	ADJ
ejpam-4758	112	17	problem	problem	NOUN
ejpam-4758	112	18	1	1	NUM
ejpam-4758	112	19	,	,	PUNCT
ejpam-4758	112	20	the	the	DET
ejpam-4758	112	21	graph	graph	NOUN
ejpam-4758	112	22	shows	show	VERB
ejpam-4758	112	23	a	a	DET
ejpam-4758	112	24	side	side	NOUN
ejpam-4758	112	25	by	by	ADP
ejpam-4758	112	26	side	side	ADJ
ejpam-4758	112	27	comparison	comparison	NOUN
ejpam-4758	112	28	of	of	ADP
ejpam-4758	112	29	the	the	DET
ejpam-4758	112	30	functions	function	NOUN
ejpam-4758	112	31	ue	ue	INTJ
ejpam-4758	112	32	(	(	PUNCT
ejpam-4758	112	33	expected	expect	VERB
ejpam-4758	112	34	value	value	NOUN
ejpam-4758	112	35	of	of	ADP
ejpam-4758	112	36	u	u	NOUN
ejpam-4758	112	37	)	)	PUNCT
ejpam-4758	112	38	,	,	PUNCT
ejpam-4758	112	39	and	and	CCONJ
ejpam-4758	112	40	the	the	DET
ejpam-4758	112	41	initial	initial	ADJ
ejpam-4758	112	42	value	value	NOUN
ejpam-4758	112	43	of	of	ADP
ejpam-4758	112	44	u	u	PROPN
ejpam-4758	112	45	,	,	PUNCT
ejpam-4758	112	46	(	(	PUNCT
ejpam-4758	112	47	u(0	u(0	NOUN
ejpam-4758	112	48	)	)	PUNCT
ejpam-4758	112	49	)	)	PUNCT
ejpam-4758	112	50	before	before	SCONJ
ejpam-4758	112	51	we	we	PRON
ejpam-4758	112	52	start	start	VERB
ejpam-4758	112	53	the	the	DET
ejpam-4758	112	54	calculation	calculation	NOUN
ejpam-4758	112	55	.	.	PUNCT
ejpam-4758	113	1	r(4	r(4	NOUN
ejpam-4758	113	2	)	)	PUNCT
ejpam-4758	114	1	+	+	PUNCT
ejpam-4758	115	1	βs(4	βs(4	NOUN
ejpam-4758	115	2	)	)	PUNCT
ejpam-4758	115	3	−	−	PROPN
ejpam-4758	116	1	(	(	PUNCT
ejpam-4758	116	2	k0	k0	PROPN
ejpam-4758	116	3	+	+	PROPN
ejpam-4758	116	4	βk1)(r	βk1)(r	PROPN
ejpam-4758	116	5	+	+	CCONJ
ejpam-4758	116	6	βs	βs	X
ejpam-4758	116	7	)	)	PUNCT
ejpam-4758	116	8	=	=	SYM
ejpam-4758	117	1	g	g	NOUN
ejpam-4758	117	2	combining	combine	VERB
ejpam-4758	117	3	the	the	DET
ejpam-4758	117	4	terms	term	NOUN
ejpam-4758	117	5	:	:	PUNCT
ejpam-4758	117	6	r(4	r(4	NOUN
ejpam-4758	117	7	)	)	PUNCT
ejpam-4758	117	8	−	−	PROPN
ejpam-4758	118	1	k0r	k0r	NOUN
ejpam-4758	118	2	=	=	PUNCT
ejpam-4758	118	3	g	g	PROPN
ejpam-4758	118	4	(	(	PUNCT
ejpam-4758	118	5	12	12	NUM
ejpam-4758	118	6	)	)	PUNCT
ejpam-4758	118	7	r(0	r(0	PROPN
ejpam-4758	118	8	)	)	PUNCT
ejpam-4758	118	9	=	=	SYM
ejpam-4758	118	10	r(1	r(1	PROPN
ejpam-4758	118	11	)	)	PUNCT
ejpam-4758	118	12	=	=	SYM
ejpam-4758	118	13	r′′(0	r′′(0	PROPN
ejpam-4758	118	14	)	)	PUNCT
ejpam-4758	118	15	=	=	SYM
ejpam-4758	118	16	r′′(1	r′′(1	PROPN
ejpam-4758	118	17	)	)	PUNCT
ejpam-4758	118	18	=	=	SYM
ejpam-4758	119	1	0	0	X
ejpam-4758	119	2	.	.	PUNCT
ejpam-4758	119	3	o.	o.	PROPN
ejpam-4758	119	4	alomari	alomari	PROPN
ejpam-4758	119	5	,	,	PUNCT
ejpam-4758	119	6	pavel	pavel	PROPN
ejpam-4758	119	7	b.dubovski	b.dubovski	PROPN
ejpam-4758	119	8	/	/	SYM
ejpam-4758	119	9	eur	eur	PROPN
ejpam-4758	119	10	.	.	PUNCT
ejpam-4758	120	1	j.	j.	PROPN
ejpam-4758	120	2	pure	pure	PROPN
ejpam-4758	120	3	appl	appl	PROPN
ejpam-4758	120	4	.	.	PROPN
ejpam-4758	120	5	math	math	PROPN
ejpam-4758	120	6	,	,	PUNCT
ejpam-4758	120	7	16	16	NUM
ejpam-4758	120	8	(	(	PUNCT
ejpam-4758	120	9	2	2	NUM
ejpam-4758	120	10	)	)	PUNCT
ejpam-4758	120	11	(	(	PUNCT
ejpam-4758	120	12	2023	2023	NUM
ejpam-4758	120	13	)	)	PUNCT
ejpam-4758	120	14	,	,	PUNCT
ejpam-4758	120	15	1140	1140	NUM
ejpam-4758	120	16	-	-	SYM
ejpam-4758	120	17	1153	1153	NUM
ejpam-4758	120	18	1149	1149	NUM
ejpam-4758	120	19	0	0	NUM
ejpam-4758	120	20	0.1	0.1	NUM
ejpam-4758	120	21	0.2	0.2	NUM
ejpam-4758	120	22	0.3	0.3	NUM
ejpam-4758	120	23	0.4	0.4	NUM
ejpam-4758	120	24	0.5	0.5	NUM
ejpam-4758	120	25	0.6	0.6	NUM
ejpam-4758	120	26	0.7	0.7	NUM
ejpam-4758	120	27	0.8	0.8	NUM
ejpam-4758	120	28	0.9	0.9	NUM
ejpam-4758	120	29	1	1	NUM
ejpam-4758	120	30	x	x	NOUN
ejpam-4758	120	31	-0.0005	-0.0005	NOUN
ejpam-4758	120	32	0	0	NUM
ejpam-4758	121	1	0.0005	0.0005	NUM
ejpam-4758	121	2	0.001	0.001	NUM
ejpam-4758	121	3	0.0015	0.0015	NUM
ejpam-4758	121	4	0.002	0.002	NUM
ejpam-4758	121	5	0.0025	0.0025	NUM
ejpam-4758	121	6	0.003	0.003	NUM
ejpam-4758	121	7	u	u	NOUN
ejpam-4758	121	8	e	e	X
ejpam-4758	121	9	u	u	NOUN
ejpam-4758	121	10	c	c	NOUN
ejpam-4758	121	11	figure	figure	NOUN
ejpam-4758	121	12	8	8	NUM
ejpam-4758	121	13	:	:	PUNCT
ejpam-4758	121	14	inverse	inverse	NOUN
ejpam-4758	121	15	problem	problem	NOUN
ejpam-4758	121	16	1,the	1,the	PRON
ejpam-4758	121	17	graph	graph	NOUN
ejpam-4758	121	18	shows	show	VERB
ejpam-4758	121	19	a	a	DET
ejpam-4758	121	20	side	side	NOUN
ejpam-4758	121	21	by	by	ADP
ejpam-4758	121	22	side	side	ADJ
ejpam-4758	121	23	comparison	comparison	NOUN
ejpam-4758	121	24	of	of	ADP
ejpam-4758	121	25	the	the	DET
ejpam-4758	121	26	functions	function	NOUN
ejpam-4758	121	27	ue	ue	INTJ
ejpam-4758	121	28	(	(	PUNCT
ejpam-4758	121	29	expected	expect	VERB
ejpam-4758	121	30	value	value	NOUN
ejpam-4758	121	31	of	of	ADP
ejpam-4758	121	32	u	u	NOUN
ejpam-4758	121	33	)	)	PUNCT
ejpam-4758	121	34	,	,	PUNCT
ejpam-4758	121	35	and	and	CCONJ
ejpam-4758	121	36	the	the	DET
ejpam-4758	121	37	calculated	calculate	VERB
ejpam-4758	121	38	value	value	NOUN
ejpam-4758	121	39	of	of	ADP
ejpam-4758	121	40	of	of	ADP
ejpam-4758	121	41	u	u	NOUN
ejpam-4758	121	42	,	,	PUNCT
ejpam-4758	121	43	(	(	PUNCT
ejpam-4758	121	44	uc	uc	PROPN
ejpam-4758	121	45	)	)	PUNCT
ejpam-4758	121	46	0	0	NUM
ejpam-4758	121	47	0.1	0.1	NUM
ejpam-4758	121	48	0.2	0.2	NUM
ejpam-4758	121	49	0.3	0.3	NUM
ejpam-4758	121	50	0.4	0.4	NUM
ejpam-4758	121	51	0.5	0.5	NUM
ejpam-4758	121	52	0.6	0.6	NUM
ejpam-4758	121	53	0.7	0.7	NUM
ejpam-4758	121	54	0.8	0.8	NUM
ejpam-4758	121	55	0.9	0.9	NUM
ejpam-4758	121	56	1	1	NUM
ejpam-4758	121	57	x	x	SYM
ejpam-4758	121	58	-0.4	-0.4	NUM
ejpam-4758	121	59	-0.2	-0.2	NOUN
ejpam-4758	121	60	0	0	NUM
ejpam-4758	121	61	0.2	0.2	NUM
ejpam-4758	121	62	0.4	0.4	NUM
ejpam-4758	121	63	0.6	0.6	NUM
ejpam-4758	121	64	0.8	0.8	NUM
ejpam-4758	121	65	au	au	ADV
ejpam-4758	121	66	e	e	X
ejpam-4758	121	67	au	au	PROPN
ejpam-4758	121	68	c	c	PROPN
ejpam-4758	121	69	figure	figure	NOUN
ejpam-4758	121	70	9	9	NUM
ejpam-4758	121	71	:	:	PUNCT
ejpam-4758	121	72	inverse	inverse	ADJ
ejpam-4758	121	73	problem	problem	NOUN
ejpam-4758	121	74	1	1	NUM
ejpam-4758	121	75	,	,	PUNCT
ejpam-4758	121	76	the	the	DET
ejpam-4758	121	77	graph	graph	NOUN
ejpam-4758	121	78	shows	show	VERB
ejpam-4758	121	79	a	a	DET
ejpam-4758	121	80	side	side	NOUN
ejpam-4758	121	81	by	by	ADP
ejpam-4758	121	82	side	side	ADJ
ejpam-4758	121	83	comparison	comparison	NOUN
ejpam-4758	121	84	of	of	ADP
ejpam-4758	121	85	the	the	DET
ejpam-4758	121	86	functions	function	NOUN
ejpam-4758	121	87	aue	aue	NOUN
ejpam-4758	121	88	(	(	PUNCT
ejpam-4758	121	89	expected	expect	VERB
ejpam-4758	121	90	value	value	NOUN
ejpam-4758	121	91	of	of	ADP
ejpam-4758	121	92	g(x	g(x	NOUN
ejpam-4758	121	93	)	)	PUNCT
ejpam-4758	121	94	)	)	PUNCT
ejpam-4758	121	95	,	,	PUNCT
ejpam-4758	121	96	and	and	CCONJ
ejpam-4758	121	97	the	the	DET
ejpam-4758	121	98	calculated	calculate	VERB
ejpam-4758	121	99	value	value	NOUN
ejpam-4758	121	100	of	of	ADP
ejpam-4758	121	101	of	of	ADP
ejpam-4758	121	102	auc	auc	NOUN
ejpam-4758	121	103	s(4	s(4	NOUN
ejpam-4758	121	104	)	)	PUNCT
ejpam-4758	121	105	−	−	PROPN
ejpam-4758	122	1	k0s	k0s	PROPN
ejpam-4758	122	2	=	=	SYM
ejpam-4758	123	1	k1r	k1r	NOUN
ejpam-4758	123	2	(	(	PUNCT
ejpam-4758	123	3	13	13	NUM
ejpam-4758	123	4	)	)	PUNCT
ejpam-4758	123	5	s(0	s(0	PROPN
ejpam-4758	123	6	)	)	PUNCT
ejpam-4758	123	7	=	=	SYM
ejpam-4758	124	1	s(1	s(1	PROPN
ejpam-4758	124	2	)	)	PUNCT
ejpam-4758	124	3	=	=	SYM
ejpam-4758	124	4	s′′(0	s′′(0	NOUN
ejpam-4758	124	5	)	)	PUNCT
ejpam-4758	124	6	=	=	SYM
ejpam-4758	124	7	s′′(1	s′′(1	PROPN
ejpam-4758	124	8	)	)	PUNCT
ejpam-4758	124	9	=	=	SYM
ejpam-4758	125	1	0	0	X
ejpam-4758	125	2	.	.	PUNCT
ejpam-4758	125	3	sobs	sobs	PROPN
ejpam-4758	125	4	=	=	PUNCT
ejpam-4758	125	5	uobs	uob	NOUN
ejpam-4758	125	6	−	−	NOUN
ejpam-4758	125	7	r	r	NOUN
ejpam-4758	125	8	β	β	NOUN
ejpam-4758	125	9	note	note	NOUN
ejpam-4758	125	10	that	that	SCONJ
ejpam-4758	125	11	equation	equation	NOUN
ejpam-4758	125	12	(	(	PUNCT
ejpam-4758	125	13	12	12	NUM
ejpam-4758	125	14	)	)	PUNCT
ejpam-4758	125	15	is	be	AUX
ejpam-4758	125	16	a	a	DET
ejpam-4758	125	17	linear	linear	ADJ
ejpam-4758	125	18	forward	forward	ADJ
ejpam-4758	125	19	problem	problem	NOUN
ejpam-4758	125	20	since	since	SCONJ
ejpam-4758	125	21	g(x	g(x	NOUN
ejpam-4758	125	22	)	)	PUNCT
ejpam-4758	125	23	and	and	CCONJ
ejpam-4758	125	24	k0	k0	PROPN
ejpam-4758	125	25	are	be	AUX
ejpam-4758	125	26	known	know	VERB
ejpam-4758	125	27	,	,	PUNCT
ejpam-4758	125	28	therefore	therefore	ADV
ejpam-4758	125	29	it	it	PRON
ejpam-4758	125	30	can	can	AUX
ejpam-4758	125	31	be	be	AUX
ejpam-4758	125	32	solved	solve	VERB
ejpam-4758	125	33	directly	directly	ADV
ejpam-4758	125	34	to	to	PART
ejpam-4758	125	35	find	find	VERB
ejpam-4758	125	36	the	the	DET
ejpam-4758	125	37	solution	solution	NOUN
ejpam-4758	125	38	r(x	r(x	NOUN
ejpam-4758	125	39	)	)	PUNCT
ejpam-4758	125	40	.	.	PUNCT
ejpam-4758	126	1	also	also	ADV
ejpam-4758	126	2	,	,	PUNCT
ejpam-4758	126	3	sobs	sob	VERB
ejpam-4758	126	4	in	in	ADP
ejpam-4758	126	5	(	(	PUNCT
ejpam-4758	126	6	13	13	NUM
ejpam-4758	126	7	)	)	PUNCT
ejpam-4758	126	8	is	be	AUX
ejpam-4758	126	9	calculated	calculate	VERB
ejpam-4758	126	10	based	base	VERB
ejpam-4758	126	11	on	on	ADP
ejpam-4758	126	12	the	the	DET
ejpam-4758	126	13	known	know	VERB
ejpam-4758	126	14	finite	finite	NOUN
ejpam-4758	126	15	observation	observation	NOUN
ejpam-4758	126	16	uobs	uob	NOUN
ejpam-4758	126	17	o.	o.	PROPN
ejpam-4758	126	18	alomari	alomari	PROPN
ejpam-4758	126	19	,	,	PUNCT
ejpam-4758	126	20	pavel	pavel	PROPN
ejpam-4758	126	21	b.dubovski	b.dubovski	PROPN
ejpam-4758	126	22	/	/	SYM
ejpam-4758	126	23	eur	eur	PROPN
ejpam-4758	126	24	.	.	PUNCT
ejpam-4758	127	1	j.	j.	PROPN
ejpam-4758	127	2	pure	pure	PROPN
ejpam-4758	127	3	appl	appl	PROPN
ejpam-4758	127	4	.	.	PROPN
ejpam-4758	127	5	math	math	PROPN
ejpam-4758	127	6	,	,	PUNCT
ejpam-4758	127	7	16	16	NUM
ejpam-4758	127	8	(	(	PUNCT
ejpam-4758	127	9	2	2	NUM
ejpam-4758	127	10	)	)	PUNCT
ejpam-4758	127	11	(	(	PUNCT
ejpam-4758	127	12	2023	2023	NUM
ejpam-4758	127	13	)	)	PUNCT
ejpam-4758	127	14	,	,	PUNCT
ejpam-4758	127	15	1140	1140	NUM
ejpam-4758	127	16	-	-	SYM
ejpam-4758	127	17	1153	1153	NUM
ejpam-4758	127	18	1150	1150	NUM
ejpam-4758	127	19	we	we	PRON
ejpam-4758	127	20	utilize	utilize	VERB
ejpam-4758	127	21	the	the	DET
ejpam-4758	127	22	algorithm	algorithm	NOUN
ejpam-4758	127	23	developed	develop	VERB
ejpam-4758	127	24	above	above	ADV
ejpam-4758	127	25	to	to	PART
ejpam-4758	127	26	solve	solve	VERB
ejpam-4758	127	27	the	the	DET
ejpam-4758	127	28	inverse	inverse	NOUN
ejpam-4758	127	29	problem	problem	NOUN
ejpam-4758	127	30	(	(	PUNCT
ejpam-4758	127	31	13	13	NUM
ejpam-4758	127	32	)	)	PUNCT
ejpam-4758	127	33	to	to	PART
ejpam-4758	127	34	recover	recover	VERB
ejpam-4758	127	35	the	the	DET
ejpam-4758	127	36	right	right	ADJ
ejpam-4758	127	37	-	-	PUNCT
ejpam-4758	127	38	hand	hand	NOUN
ejpam-4758	127	39	side	side	NOUN
ejpam-4758	127	40	v	v	NOUN
ejpam-4758	127	41	=	=	SYM
ejpam-4758	127	42	k1r	k1r	NOUN
ejpam-4758	127	43	.	.	PUNCT
ejpam-4758	128	1	note	note	VERB
ejpam-4758	128	2	that	that	SCONJ
ejpam-4758	128	3	the	the	DET
ejpam-4758	128	4	only	only	ADJ
ejpam-4758	128	5	unknown	unknown	ADJ
ejpam-4758	128	6	in	in	ADP
ejpam-4758	128	7	this	this	DET
ejpam-4758	128	8	right	right	ADJ
ejpam-4758	128	9	-	-	PUNCT
ejpam-4758	128	10	hand	hand	NOUN
ejpam-4758	128	11	-	-	PUNCT
ejpam-4758	128	12	side	side	NOUN
ejpam-4758	128	13	is	be	AUX
ejpam-4758	128	14	k1	k1	NOUN
ejpam-4758	128	15	,	,	PUNCT
ejpam-4758	128	16	therefore	therefore	ADV
ejpam-4758	128	17	,	,	PUNCT
ejpam-4758	128	18	k1	k1	PROPN
ejpam-4758	128	19	will	will	AUX
ejpam-4758	128	20	be	be	AUX
ejpam-4758	128	21	derived	derive	VERB
ejpam-4758	128	22	from	from	ADP
ejpam-4758	128	23	the	the	DET
ejpam-4758	128	24	recovered	recovered	ADJ
ejpam-4758	128	25	right	right	ADJ
ejpam-4758	128	26	-	-	PUNCT
ejpam-4758	128	27	hand	hand	NOUN
ejpam-4758	128	28	-	-	PUNCT
ejpam-4758	128	29	side	side	NOUN
ejpam-4758	128	30	in	in	ADP
ejpam-4758	128	31	every	every	DET
ejpam-4758	128	32	iteration	iteration	NOUN
ejpam-4758	128	33	of	of	ADP
ejpam-4758	128	34	the	the	DET
ejpam-4758	128	35	algorithm	algorithm	NOUN
ejpam-4758	128	36	developed	develop	VERB
ejpam-4758	128	37	and	and	CCONJ
ejpam-4758	128	38	justified	justify	VERB
ejpam-4758	128	39	in	in	ADP
ejpam-4758	128	40	the	the	DET
ejpam-4758	128	41	previous	previous	ADJ
ejpam-4758	128	42	sections	section	NOUN
ejpam-4758	128	43	.	.	PUNCT
ejpam-4758	129	1	2.2.1	2.2.1	NUM
ejpam-4758	129	2	.	.	PUNCT
ejpam-4758	129	3	numerical	numerical	ADJ
ejpam-4758	129	4	solution	solution	NOUN
ejpam-4758	129	5	for	for	ADP
ejpam-4758	129	6	inverse	inverse	ADJ
ejpam-4758	129	7	problem	problem	NOUN
ejpam-4758	129	8	2	2	NUM
ejpam-4758	129	9	our	our	PRON
ejpam-4758	129	10	goal	goal	NOUN
ejpam-4758	129	11	is	be	AUX
ejpam-4758	129	12	to	to	PART
ejpam-4758	129	13	recover	recover	VERB
ejpam-4758	129	14	the	the	DET
ejpam-4758	129	15	coefficient	coefficient	NOUN
ejpam-4758	129	16	function	function	NOUN
ejpam-4758	129	17	k	k	NOUN
ejpam-4758	129	18	=	=	SYM
ejpam-4758	129	19	1	1	NUM
ejpam-4758	129	20	of	of	ADP
ejpam-4758	129	21	(	(	PUNCT
ejpam-4758	129	22	7	7	NUM
ejpam-4758	129	23	)	)	PUNCT
ejpam-4758	129	24	over	over	ADP
ejpam-4758	129	25	[	[	X
ejpam-4758	129	26	0	0	NUM
ejpam-4758	129	27	,	,	PUNCT
ejpam-4758	129	28	1	1	NUM
ejpam-4758	129	29	]	]	PUNCT
ejpam-4758	129	30	for	for	ADP
ejpam-4758	129	31	the	the	DET
ejpam-4758	129	32	given	give	VERB
ejpam-4758	129	33	function	function	NOUN
ejpam-4758	129	34	g(x	g(x	NOUN
ejpam-4758	129	35	)	)	PUNCT
ejpam-4758	130	1	=	=	SYM
ejpam-4758	130	2	sin(πx	sin(πx	NOUN
ejpam-4758	130	3	)	)	PUNCT
ejpam-4758	130	4	.	.	PUNCT
ejpam-4758	131	1	these	these	DET
ejpam-4758	131	2	values	value	NOUN
ejpam-4758	131	3	were	be	AUX
ejpam-4758	131	4	used	use	VERB
ejpam-4758	131	5	in	in	ADP
ejpam-4758	131	6	the	the	DET
ejpam-4758	131	7	calculations	calculation	NOUN
ejpam-4758	131	8	:	:	PUNCT
ejpam-4758	131	9	β	β	X
ejpam-4758	131	10	=	=	SYM
ejpam-4758	131	11	0.05	0.05	NUM
ejpam-4758	131	12	,	,	PUNCT
ejpam-4758	131	13	k0	k0	PROPN
ejpam-4758	131	14	=	=	PROPN
ejpam-4758	131	15	0.5	0.5	NUM
ejpam-4758	131	16	,	,	PUNCT
ejpam-4758	131	17	initial	initial	ADJ
ejpam-4758	131	18	guess	guess	NOUN
ejpam-4758	131	19	for	for	ADP
ejpam-4758	131	20	v	v	NOUN
ejpam-4758	131	21	is	be	AUX
ejpam-4758	131	22	vguess	vguess	NOUN
ejpam-4758	131	23	=	=	SYM
ejpam-4758	131	24	0	0	X
ejpam-4758	131	25	.	.	PUNCT
ejpam-4758	132	1	as	as	ADP
ejpam-4758	132	2	before	before	ADV
ejpam-4758	132	3	,	,	PUNCT
ejpam-4758	132	4	we	we	PRON
ejpam-4758	132	5	pretend	pretend	VERB
ejpam-4758	132	6	that	that	SCONJ
ejpam-4758	132	7	we	we	PRON
ejpam-4758	132	8	do	do	AUX
ejpam-4758	132	9	n’t	not	PART
ejpam-4758	132	10	know	know	VERB
ejpam-4758	132	11	the	the	DET
ejpam-4758	132	12	function	function	NOUN
ejpam-4758	132	13	k	k	PROPN
ejpam-4758	132	14	,	,	PUNCT
ejpam-4758	132	15	we	we	PRON
ejpam-4758	132	16	run	run	VERB
ejpam-4758	132	17	the	the	DET
ejpam-4758	132	18	algorithm	algorithm	NOUN
ejpam-4758	132	19	to	to	PART
ejpam-4758	132	20	recover	recover	VERB
ejpam-4758	132	21	v(x	v(x	NOUN
ejpam-4758	132	22	)	)	PUNCT
ejpam-4758	133	1	=	=	SYM
ejpam-4758	133	2	k1r	k1r	NOUN
ejpam-4758	133	3	based	base	VERB
ejpam-4758	133	4	on	on	ADP
ejpam-4758	133	5	the	the	DET
ejpam-4758	133	6	mentioned	mention	VERB
ejpam-4758	133	7	initial	initial	ADJ
ejpam-4758	133	8	guess	guess	NOUN
ejpam-4758	133	9	.	.	PUNCT
ejpam-4758	134	1	figure	figure	NOUN
ejpam-4758	134	2	10	10	NUM
ejpam-4758	134	3	shows	show	NOUN
ejpam-4758	134	4	side	side	NOUN
ejpam-4758	134	5	by	by	ADP
ejpam-4758	134	6	side	side	ADJ
ejpam-4758	134	7	comparison	comparison	NOUN
ejpam-4758	134	8	of	of	ADP
ejpam-4758	134	9	exact	exact	ADJ
ejpam-4758	134	10	value	value	NOUN
ejpam-4758	134	11	of	of	ADP
ejpam-4758	134	12	u	u	NOUN
ejpam-4758	134	13	=	=	PUNCT
ejpam-4758	134	14	r+	r+	PUNCT
ejpam-4758	134	15	βs	βs	X
ejpam-4758	134	16	(	(	PUNCT
ejpam-4758	134	17	ue	ue	INTJ
ejpam-4758	134	18	)	)	PUNCT
ejpam-4758	134	19	and	and	CCONJ
ejpam-4758	134	20	calculated	calculate	VERB
ejpam-4758	134	21	value	value	NOUN
ejpam-4758	134	22	of	of	ADP
ejpam-4758	134	23	u	u	PROPN
ejpam-4758	134	24	(	(	PUNCT
ejpam-4758	134	25	uc	uc	PROPN
ejpam-4758	134	26	)	)	PUNCT
ejpam-4758	134	27	.	.	PUNCT
ejpam-4758	135	1	figure	figure	VERB
ejpam-4758	135	2	11	11	NUM
ejpam-4758	135	3	shows	show	VERB
ejpam-4758	135	4	a	a	DET
ejpam-4758	135	5	side	side	NOUN
ejpam-4758	135	6	by	by	ADP
ejpam-4758	135	7	side	side	ADJ
ejpam-4758	135	8	comparison	comparison	NOUN
ejpam-4758	135	9	of	of	ADP
ejpam-4758	135	10	the	the	DET
ejpam-4758	135	11	exact	exact	ADJ
ejpam-4758	135	12	function	function	NOUN
ejpam-4758	135	13	k	k	PROPN
ejpam-4758	135	14	=	=	PROPN
ejpam-4758	135	15	k0	k0	PROPN
ejpam-4758	135	16	+	+	CCONJ
ejpam-4758	135	17	βk1	βk1	PROPN
ejpam-4758	135	18	and	and	CCONJ
ejpam-4758	135	19	the	the	DET
ejpam-4758	135	20	calculated	calculate	VERB
ejpam-4758	135	21	value	value	NOUN
ejpam-4758	135	22	of	of	ADP
ejpam-4758	135	23	k	k	PROPN
ejpam-4758	135	24	,	,	PUNCT
ejpam-4758	135	25	(	(	PUNCT
ejpam-4758	135	26	kc	kc	PROPN
ejpam-4758	135	27	)	)	PUNCT
ejpam-4758	135	28	.	.	PUNCT
ejpam-4758	136	1	as	as	SCONJ
ejpam-4758	136	2	we	we	PRON
ejpam-4758	136	3	can	can	AUX
ejpam-4758	136	4	see	see	VERB
ejpam-4758	136	5	the	the	DET
ejpam-4758	136	6	graphs	graph	NOUN
ejpam-4758	136	7	of	of	ADP
ejpam-4758	136	8	both	both	DET
ejpam-4758	136	9	functions	function	NOUN
ejpam-4758	136	10	are	be	AUX
ejpam-4758	136	11	almost	almost	ADV
ejpam-4758	136	12	identical	identical	ADJ
ejpam-4758	136	13	as	as	SCONJ
ejpam-4758	136	14	expected	expect	VERB
ejpam-4758	136	15	.	.	PUNCT
ejpam-4758	137	1	0	0	NUM
ejpam-4758	137	2	0.1	0.1	NUM
ejpam-4758	137	3	0.2	0.2	NUM
ejpam-4758	137	4	0.3	0.3	NUM
ejpam-4758	137	5	0.4	0.4	NUM
ejpam-4758	137	6	0.5	0.5	NUM
ejpam-4758	137	7	0.6	0.6	NUM
ejpam-4758	137	8	0.7	0.7	NUM
ejpam-4758	137	9	0.8	0.8	NUM
ejpam-4758	137	10	0.9	0.9	NUM
ejpam-4758	137	11	1	1	NUM
ejpam-4758	137	12	x	x	SYM
ejpam-4758	137	13	-0.002	-0.002	PUNCT
ejpam-4758	137	14	0	0	NUM
ejpam-4758	137	15	0.002	0.002	NUM
ejpam-4758	138	1	0.004	0.004	NUM
ejpam-4758	138	2	0.006	0.006	NUM
ejpam-4758	138	3	0.008	0.008	NUM
ejpam-4758	138	4	0.01	0.01	NUM
ejpam-4758	138	5	0.012	0.012	NUM
ejpam-4758	138	6	u	u	NOUN
ejpam-4758	138	7	c	c	NOUN
ejpam-4758	138	8	u	u	NOUN
ejpam-4758	138	9	e	e	NOUN
ejpam-4758	138	10	figure	figure	NOUN
ejpam-4758	138	11	10	10	NUM
ejpam-4758	138	12	:	:	PUNCT
ejpam-4758	138	13	inverse	inverse	ADJ
ejpam-4758	138	14	problem	problem	NOUN
ejpam-4758	138	15	2	2	NUM
ejpam-4758	138	16	with	with	ADP
ejpam-4758	138	17	input	input	NOUN
ejpam-4758	138	18	parameters	parameter	NOUN
ejpam-4758	138	19	:	:	PUNCT
ejpam-4758	138	20	g(x	g(x	NUM
ejpam-4758	138	21	)	)	PUNCT
ejpam-4758	138	22	=	=	SYM
ejpam-4758	138	23	sin(πx	sin(πx	NOUN
ejpam-4758	138	24	)	)	PUNCT
ejpam-4758	138	25	,	,	PUNCT
ejpam-4758	138	26	β	β	X
ejpam-4758	138	27	=	=	SYM
ejpam-4758	138	28	0.05	0.05	NUM
ejpam-4758	138	29	,	,	PUNCT
ejpam-4758	138	30	k0	k0	PROPN
ejpam-4758	138	31	=	=	PROPN
ejpam-4758	138	32	0.5	0.5	NUM
ejpam-4758	138	33	,	,	PUNCT
ejpam-4758	138	34	initial	initial	ADJ
ejpam-4758	138	35	guess	guess	NOUN
ejpam-4758	138	36	for	for	ADP
ejpam-4758	138	37	v	v	NOUN
ejpam-4758	138	38	is	be	AUX
ejpam-4758	138	39	vguess	vguess	NOUN
ejpam-4758	138	40	=	=	SYM
ejpam-4758	138	41	0	0	NUM
ejpam-4758	138	42	,	,	PUNCT
ejpam-4758	138	43	the	the	DET
ejpam-4758	138	44	graph	graph	NOUN
ejpam-4758	138	45	shows	show	VERB
ejpam-4758	138	46	the	the	DET
ejpam-4758	138	47	expected	expect	VERB
ejpam-4758	138	48	value	value	NOUN
ejpam-4758	138	49	of	of	ADP
ejpam-4758	138	50	u	u	NOUN
ejpam-4758	138	51	,	,	PUNCT
ejpam-4758	138	52	(	(	PUNCT
ejpam-4758	138	53	ue	ue	INTJ
ejpam-4758	138	54	)	)	PUNCT
ejpam-4758	138	55	and	and	CCONJ
ejpam-4758	138	56	the	the	DET
ejpam-4758	138	57	calculated	calculate	VERB
ejpam-4758	138	58	value	value	NOUN
ejpam-4758	138	59	of	of	ADP
ejpam-4758	138	60	u	u	NOUN
ejpam-4758	138	61	,	,	PUNCT
ejpam-4758	138	62	(	(	PUNCT
ejpam-4758	138	63	uc	uc	PROPN
ejpam-4758	138	64	)	)	PUNCT
ejpam-4758	138	65	3	3	NUM
ejpam-4758	138	66	.	.	X
ejpam-4758	138	67	conclusion	conclusion	NOUN
ejpam-4758	138	68	we	we	PRON
ejpam-4758	138	69	developed	develop	VERB
ejpam-4758	138	70	and	and	CCONJ
ejpam-4758	138	71	implemented	implement	VERB
ejpam-4758	138	72	a	a	DET
ejpam-4758	138	73	numerical	numerical	ADJ
ejpam-4758	138	74	scheme	scheme	NOUN
ejpam-4758	138	75	to	to	PART
ejpam-4758	138	76	represent	represent	VERB
ejpam-4758	138	77	coupled	couple	VERB
ejpam-4758	138	78	mechanical	mechanical	ADJ
ejpam-4758	138	79	system	system	NOUN
ejpam-4758	138	80	.	.	PUNCT
ejpam-4758	139	1	we	we	PRON
ejpam-4758	139	2	considered	consider	VERB
ejpam-4758	139	3	a	a	DET
ejpam-4758	139	4	one	one	NUM
ejpam-4758	139	5	-	-	PUNCT
ejpam-4758	139	6	dimensional	dimensional	ADJ
ejpam-4758	139	7	model	model	NOUN
ejpam-4758	139	8	for	for	ADP
ejpam-4758	139	9	two	two	NUM
ejpam-4758	139	10	beams	beam	NOUN
ejpam-4758	139	11	joined	join	VERB
ejpam-4758	139	12	together	together	ADV
ejpam-4758	139	13	by	by	ADP
ejpam-4758	139	14	elastic	elastic	ADJ
ejpam-4758	139	15	layer	layer	NOUN
ejpam-4758	139	16	.	.	PUNCT
ejpam-4758	140	1	first	first	ADV
ejpam-4758	140	2	we	we	PRON
ejpam-4758	140	3	considered	consider	VERB
ejpam-4758	140	4	the	the	DET
ejpam-4758	140	5	inverse	inverse	NOUN
ejpam-4758	140	6	problem	problem	NOUN
ejpam-4758	140	7	:	:	PUNCT
ejpam-4758	140	8	given	give	VERB
ejpam-4758	140	9	the	the	DET
ejpam-4758	140	10	spring	spring	NOUN
ejpam-4758	140	11	stiffness	stiffness	NOUN
ejpam-4758	140	12	k	k	NOUN
ejpam-4758	140	13	and	and	CCONJ
ejpam-4758	140	14	finite	finite	ADJ
ejpam-4758	140	15	measurements	measurement	NOUN
ejpam-4758	140	16	of	of	ADP
ejpam-4758	140	17	the	the	DET
ejpam-4758	140	18	resulting	result	VERB
ejpam-4758	140	19	deflections	deflection	NOUN
ejpam-4758	140	20	v1(x	v1(x	NUM
ejpam-4758	140	21	)	)	PUNCT
ejpam-4758	140	22	and	and	CCONJ
ejpam-4758	140	23	v2(x	v2(x	NUM
ejpam-4758	140	24	)	)	PUNCT
ejpam-4758	140	25	,	,	PUNCT
ejpam-4758	140	26	find	find	VERB
ejpam-4758	140	27	the	the	DET
ejpam-4758	140	28	imposed	impose	VERB
ejpam-4758	140	29	force	force	NOUN
ejpam-4758	140	30	f(x	f(x	PROPN
ejpam-4758	140	31	)	)	PUNCT
ejpam-4758	140	32	,	,	PUNCT
ejpam-4758	140	33	second	second	ADV
ejpam-4758	140	34	we	we	PRON
ejpam-4758	140	35	considered	consider	VERB
ejpam-4758	140	36	the	the	DET
ejpam-4758	140	37	inverse	inverse	NOUN
ejpam-4758	140	38	problem	problem	NOUN
ejpam-4758	140	39	:	:	PUNCT
ejpam-4758	140	40	given	give	VERB
ejpam-4758	140	41	a	a	DET
ejpam-4758	140	42	single	single	ADJ
ejpam-4758	140	43	imposed	impose	VERB
ejpam-4758	140	44	force	force	NOUN
ejpam-4758	140	45	f(x	f(x	PROPN
ejpam-4758	140	46	)	)	PUNCT
ejpam-4758	140	47	and	and	CCONJ
ejpam-4758	140	48	finite	finite	ADJ
ejpam-4758	140	49	measurements	measurement	NOUN
ejpam-4758	140	50	of	of	ADP
ejpam-4758	140	51	the	the	DET
ejpam-4758	140	52	resulting	result	VERB
ejpam-4758	140	53	deflections	deflection	NOUN
ejpam-4758	140	54	v1(x	v1(x	NUM
ejpam-4758	140	55	)	)	PUNCT
ejpam-4758	140	56	and	and	CCONJ
ejpam-4758	140	57	v2(x	v2(x	NUM
ejpam-4758	140	58	)	)	PUNCT
ejpam-4758	140	59	,	,	PUNCT
ejpam-4758	140	60	find	find	VERB
ejpam-4758	140	61	the	the	DET
ejpam-4758	140	62	spring	spring	NOUN
ejpam-4758	140	63	stiffness	stiffness	NOUN
ejpam-4758	140	64	k.	k.	PROPN
ejpam-4758	141	1	this	this	DET
ejpam-4758	141	2	development	development	NOUN
ejpam-4758	141	3	includes	include	VERB
ejpam-4758	141	4	a	a	DET
ejpam-4758	141	5	numerical	numerical	ADJ
ejpam-4758	141	6	algorithm	algorithm	NOUN
ejpam-4758	141	7	,	,	PUNCT
ejpam-4758	141	8	that	that	PRON
ejpam-4758	141	9	takes	take	VERB
ejpam-4758	141	10	as	as	ADP
ejpam-4758	141	11	input	input	NOUN
ejpam-4758	141	12	parameters	parameter	NOUN
ejpam-4758	141	13	the	the	DET
ejpam-4758	141	14	physical	physical	ADJ
ejpam-4758	141	15	references	reference	NOUN
ejpam-4758	141	16	1151	1151	NUM
ejpam-4758	141	17	0.1	0.1	NUM
ejpam-4758	141	18	0.2	0.2	NUM
ejpam-4758	141	19	0.3	0.3	NUM
ejpam-4758	141	20	0.4	0.4	NUM
ejpam-4758	141	21	0.5	0.5	NUM
ejpam-4758	141	22	0.6	0.6	NUM
ejpam-4758	141	23	0.7	0.7	NUM
ejpam-4758	141	24	0.8	0.8	NUM
ejpam-4758	141	25	0.9	0.9	NUM
ejpam-4758	141	26	1	1	NUM
ejpam-4758	141	27	x	x	SYM
ejpam-4758	141	28	0.2	0.2	NUM
ejpam-4758	141	29	0.3	0.3	NUM
ejpam-4758	141	30	0.4	0.4	NUM
ejpam-4758	141	31	0.5	0.5	NUM
ejpam-4758	141	32	0.6	0.6	NUM
ejpam-4758	141	33	0.7	0.7	NUM
ejpam-4758	141	34	0.8	0.8	NUM
ejpam-4758	141	35	0.9	0.9	NUM
ejpam-4758	141	36	1	1	NUM
ejpam-4758	141	37	1.1	1.1	NUM
ejpam-4758	142	1	k	k	NOUN
ejpam-4758	142	2	c	c	NOUN
ejpam-4758	142	3	k	k	X
ejpam-4758	142	4	e	e	NOUN
ejpam-4758	142	5	figure	figure	NOUN
ejpam-4758	142	6	11	11	NUM
ejpam-4758	142	7	:	:	PUNCT
ejpam-4758	142	8	inverse	inverse	ADJ
ejpam-4758	142	9	problem	problem	NOUN
ejpam-4758	142	10	2	2	NUM
ejpam-4758	142	11	with	with	ADP
ejpam-4758	142	12	input	input	NOUN
ejpam-4758	142	13	parameters	parameter	NOUN
ejpam-4758	142	14	:	:	PUNCT
ejpam-4758	142	15	g(x	g(x	NUM
ejpam-4758	142	16	)	)	PUNCT
ejpam-4758	142	17	=	=	SYM
ejpam-4758	142	18	sin(πx	sin(πx	NOUN
ejpam-4758	142	19	)	)	PUNCT
ejpam-4758	142	20	,	,	PUNCT
ejpam-4758	142	21	β	β	X
ejpam-4758	142	22	=	=	SYM
ejpam-4758	142	23	0.05	0.05	NUM
ejpam-4758	142	24	,	,	PUNCT
ejpam-4758	142	25	k0	k0	PROPN
ejpam-4758	142	26	=	=	PROPN
ejpam-4758	142	27	0.5	0.5	NUM
ejpam-4758	142	28	,	,	PUNCT
ejpam-4758	142	29	initial	initial	ADJ
ejpam-4758	142	30	guess	guess	NOUN
ejpam-4758	142	31	for	for	ADP
ejpam-4758	142	32	v	v	NOUN
ejpam-4758	142	33	is	be	AUX
ejpam-4758	142	34	vguess	vguess	NOUN
ejpam-4758	142	35	=	=	SYM
ejpam-4758	142	36	0	0	NUM
ejpam-4758	142	37	,	,	PUNCT
ejpam-4758	142	38	the	the	DET
ejpam-4758	142	39	graph	graph	NOUN
ejpam-4758	142	40	shows	show	VERB
ejpam-4758	142	41	the	the	DET
ejpam-4758	142	42	expected	expect	VERB
ejpam-4758	142	43	value	value	NOUN
ejpam-4758	142	44	of	of	ADP
ejpam-4758	142	45	k	k	PROPN
ejpam-4758	142	46	,	,	PUNCT
ejpam-4758	142	47	(	(	PUNCT
ejpam-4758	142	48	ke	ke	NOUN
ejpam-4758	142	49	)	)	PUNCT
ejpam-4758	142	50	and	and	CCONJ
ejpam-4758	142	51	the	the	DET
ejpam-4758	142	52	calculated	calculate	VERB
ejpam-4758	142	53	value	value	NOUN
ejpam-4758	142	54	of	of	ADP
ejpam-4758	142	55	k	k	PROPN
ejpam-4758	142	56	,	,	PUNCT
ejpam-4758	142	57	(	(	PUNCT
ejpam-4758	142	58	kc	kc	PROPN
ejpam-4758	142	59	)	)	PUNCT
ejpam-4758	142	60	measurements	measurement	NOUN
ejpam-4758	142	61	of	of	ADP
ejpam-4758	142	62	the	the	DET
ejpam-4758	142	63	resulting	result	VERB
ejpam-4758	142	64	deflections	deflection	NOUN
ejpam-4758	142	65	of	of	ADP
ejpam-4758	142	66	the	the	DET
ejpam-4758	142	67	beams	beam	NOUN
ejpam-4758	142	68	and	and	CCONJ
ejpam-4758	142	69	outputs	output	VERB
ejpam-4758	142	70	the	the	DET
ejpam-4758	142	71	external	external	ADJ
ejpam-4758	142	72	forces	force	NOUN
ejpam-4758	142	73	or	or	CCONJ
ejpam-4758	142	74	spring	spring	NOUN
ejpam-4758	142	75	stiffness	stiffness	NOUN
ejpam-4758	142	76	.	.	PUNCT
ejpam-4758	143	1	this	this	DET
ejpam-4758	143	2	computational	computational	ADJ
ejpam-4758	143	3	framework	framework	NOUN
ejpam-4758	143	4	can	can	AUX
ejpam-4758	143	5	serve	serve	VERB
ejpam-4758	143	6	as	as	ADP
ejpam-4758	143	7	a	a	DET
ejpam-4758	143	8	preliminary	preliminary	ADJ
ejpam-4758	143	9	tool	tool	NOUN
ejpam-4758	143	10	in	in	ADP
ejpam-4758	143	11	the	the	DET
ejpam-4758	143	12	product	product	NOUN
ejpam-4758	143	13	development	development	NOUN
ejpam-4758	143	14	process	process	NOUN
ejpam-4758	143	15	,	,	PUNCT
ejpam-4758	143	16	allowing	allow	VERB
ejpam-4758	143	17	scientists	scientist	NOUN
ejpam-4758	143	18	and	and	CCONJ
ejpam-4758	143	19	engineers	engineer	NOUN
ejpam-4758	143	20	to	to	PART
ejpam-4758	143	21	simulate	simulate	VERB
ejpam-4758	143	22	desired	desire	VERB
ejpam-4758	143	23	physical	physical	ADJ
ejpam-4758	143	24	situations	situation	NOUN
ejpam-4758	143	25	without	without	ADP
ejpam-4758	143	26	costly	costly	ADJ
ejpam-4758	143	27	testing	testing	NOUN
ejpam-4758	143	28	of	of	ADP
ejpam-4758	143	29	prototypes	prototype	NOUN
ejpam-4758	143	30	.	.	PUNCT
ejpam-4758	144	1	the	the	DET
ejpam-4758	144	2	algorithm	algorithm	NOUN
ejpam-4758	144	3	recovered	recover	VERB
ejpam-4758	144	4	the	the	DET
ejpam-4758	144	5	right	right	ADJ
ejpam-4758	144	6	-	-	PUNCT
ejpam-4758	144	7	hand	hand	NOUN
ejpam-4758	144	8	side	side	NOUN
ejpam-4758	144	9	f(x	f(x	PROPN
ejpam-4758	144	10	)	)	PUNCT
ejpam-4758	144	11	of	of	ADP
ejpam-4758	144	12	equations	equation	NOUN
ejpam-4758	144	13	(	(	PUNCT
ejpam-4758	144	14	7	7	NUM
ejpam-4758	144	15	)	)	PUNCT
ejpam-4758	144	16	,	,	PUNCT
ejpam-4758	144	17	(	(	PUNCT
ejpam-4758	144	18	8)	8)	NUM
ejpam-4758	144	19	,	,	PUNCT
ejpam-4758	144	20	this	this	DET
ejpam-4758	144	21	method	method	NOUN
ejpam-4758	144	22	is	be	AUX
ejpam-4758	144	23	based	base	VERB
ejpam-4758	144	24	on	on	ADP
ejpam-4758	144	25	minimizing	minimize	VERB
ejpam-4758	144	26	the	the	DET
ejpam-4758	144	27	defect	defect	NOUN
ejpam-4758	144	28	in	in	ADP
ejpam-4758	144	29	the	the	DET
ejpam-4758	144	30	functional	functional	NOUN
ejpam-4758	144	31	between	between	ADP
ejpam-4758	144	32	the	the	DET
ejpam-4758	144	33	calculated	calculated	ADJ
ejpam-4758	144	34	data	datum	NOUN
ejpam-4758	144	35	and	and	CCONJ
ejpam-4758	144	36	the	the	DET
ejpam-4758	144	37	measured	measured	ADJ
ejpam-4758	144	38	data	datum	NOUN
ejpam-4758	144	39	.	.	PUNCT
ejpam-4758	145	1	we	we	PRON
ejpam-4758	145	2	then	then	ADV
ejpam-4758	145	3	used	use	VERB
ejpam-4758	145	4	this	this	DET
ejpam-4758	145	5	development	development	NOUN
ejpam-4758	145	6	to	to	PART
ejpam-4758	145	7	also	also	ADV
ejpam-4758	145	8	recover	recover	VERB
ejpam-4758	145	9	the	the	DET
ejpam-4758	145	10	coefficient	coefficient	NOUN
ejpam-4758	145	11	k	k	X
ejpam-4758	145	12	by	by	ADP
ejpam-4758	145	13	reformulating	reformulate	VERB
ejpam-4758	145	14	the	the	DET
ejpam-4758	145	15	problem	problem	NOUN
ejpam-4758	145	16	of	of	ADP
ejpam-4758	145	17	recovering	recover	VERB
ejpam-4758	145	18	the	the	DET
ejpam-4758	145	19	coefficient	coefficient	NOUN
ejpam-4758	145	20	to	to	ADP
ejpam-4758	145	21	the	the	DET
ejpam-4758	145	22	problem	problem	NOUN
ejpam-4758	145	23	of	of	ADP
ejpam-4758	145	24	recovering	recover	VERB
ejpam-4758	145	25	the	the	DET
ejpam-4758	145	26	right	right	ADJ
ejpam-4758	145	27	-	-	PUNCT
ejpam-4758	145	28	hand	hand	NOUN
ejpam-4758	145	29	-	-	PUNCT
ejpam-4758	145	30	side	side	NOUN
ejpam-4758	145	31	.	.	PUNCT
ejpam-4758	146	1	the	the	DET
ejpam-4758	146	2	numerical	numerical	ADJ
ejpam-4758	146	3	experiments	experiment	NOUN
ejpam-4758	146	4	demonstrated	demonstrate	VERB
ejpam-4758	146	5	that	that	SCONJ
ejpam-4758	146	6	the	the	DET
ejpam-4758	146	7	proposed	propose	VERB
ejpam-4758	146	8	algorithm	algorithm	NOUN
ejpam-4758	146	9	was	be	AUX
ejpam-4758	146	10	able	able	ADJ
ejpam-4758	146	11	to	to	PART
ejpam-4758	146	12	recover	recover	VERB
ejpam-4758	146	13	the	the	DET
ejpam-4758	146	14	unknowns	unknown	NOUN
ejpam-4758	146	15	very	very	ADV
ejpam-4758	146	16	closely	closely	ADV
ejpam-4758	146	17	to	to	ADP
ejpam-4758	146	18	the	the	DET
ejpam-4758	146	19	exact	exact	ADJ
ejpam-4758	146	20	solution	solution	NOUN
ejpam-4758	146	21	.	.	PUNCT
ejpam-4758	147	1	in	in	ADP
ejpam-4758	147	2	the	the	DET
ejpam-4758	147	3	algorithm	algorithm	NOUN
ejpam-4758	147	4	,	,	PUNCT
ejpam-4758	147	5	two	two	NUM
ejpam-4758	147	6	additional	additional	ADJ
ejpam-4758	147	7	parameters	parameter	NOUN
ejpam-4758	147	8	are	be	AUX
ejpam-4758	147	9	used	use	VERB
ejpam-4758	147	10	:	:	PUNCT
ejpam-4758	147	11	a	a	DET
ejpam-4758	147	12	parameter	parameter	NOUN
ejpam-4758	147	13	α	α	NOUN
ejpam-4758	147	14	that	that	PRON
ejpam-4758	147	15	regularizes	regularize	VERB
ejpam-4758	147	16	the	the	DET
ejpam-4758	147	17	problem	problem	NOUN
ejpam-4758	147	18	,	,	PUNCT
ejpam-4758	147	19	and	and	CCONJ
ejpam-4758	147	20	parameter	parameter	NOUN
ejpam-4758	147	21	τ	τ	PROPN
ejpam-4758	147	22	that	that	PRON
ejpam-4758	147	23	stabilizes	stabilize	VERB
ejpam-4758	147	24	the	the	DET
ejpam-4758	147	25	numerical	numerical	ADJ
ejpam-4758	147	26	algorithm	algorithm	NOUN
ejpam-4758	147	27	.	.	PUNCT
ejpam-4758	148	1	in	in	ADP
ejpam-4758	148	2	the	the	DET
ejpam-4758	148	3	algorithm	algorithm	NOUN
ejpam-4758	148	4	,	,	PUNCT
ejpam-4758	148	5	the	the	DET
ejpam-4758	148	6	relationship	relationship	NOUN
ejpam-4758	148	7	between	between	ADP
ejpam-4758	148	8	parameters	parameter	NOUN
ejpam-4758	148	9	α	α	PROPN
ejpam-4758	148	10	and	and	CCONJ
ejpam-4758	148	11	τ	τ	PROPN
ejpam-4758	148	12	was	be	AUX
ejpam-4758	148	13	analyzed	analyze	VERB
ejpam-4758	148	14	and	and	CCONJ
ejpam-4758	148	15	the	the	DET
ejpam-4758	148	16	values	value	NOUN
ejpam-4758	148	17	of	of	ADP
ejpam-4758	148	18	α	α	PROPN
ejpam-4758	148	19	and	and	CCONJ
ejpam-4758	148	20	τ	τ	PROPN
ejpam-4758	148	21	were	be	AUX
ejpam-4758	148	22	optimized	optimize	VERB
ejpam-4758	148	23	on	on	ADP
ejpam-4758	148	24	the	the	DET
ejpam-4758	148	25	base	base	NOUN
ejpam-4758	148	26	of	of	ADP
ejpam-4758	148	27	the	the	DET
ejpam-4758	148	28	computational	computational	ADJ
ejpam-4758	148	29	tests	test	NOUN
ejpam-4758	148	30	of	of	ADP
ejpam-4758	148	31	different	different	ADJ
ejpam-4758	148	32	values	value	NOUN
ejpam-4758	148	33	of	of	ADP
ejpam-4758	148	34	α	α	NOUN
ejpam-4758	148	35	,	,	PUNCT
ejpam-4758	148	36	and	and	CCONJ
ejpam-4758	148	37	τ	τ	PROPN
ejpam-4758	148	38	.	.	PUNCT
ejpam-4758	149	1	references	reference	NOUN
ejpam-4758	149	2	[	[	X
ejpam-4758	149	3	1	1	X
ejpam-4758	149	4	]	]	X
ejpam-4758	149	5	alaa	alaa	PROPN
ejpam-4758	149	6	a	a	DET
ejpam-4758	149	7	abdelrahman	abdelrahman	PROPN
ejpam-4758	149	8	,	,	PUNCT
ejpam-4758	149	9	mohamed	mohamed	PROPN
ejpam-4758	149	10	s	s	PROPN
ejpam-4758	149	11	abdelwahed	abdelwahe	VERB
ejpam-4758	149	12	,	,	PUNCT
ejpam-4758	149	13	hani	hani	PROPN
ejpam-4758	149	14	m	m	PROPN
ejpam-4758	149	15	ahmed	ahmed	PROPN
ejpam-4758	149	16	,	,	PUNCT
ejpam-4758	149	17	amin	amin	PROPN
ejpam-4758	149	18	hamdi	hamdi	PROPN
ejpam-4758	149	19	,	,	PUNCT
ejpam-4758	149	20	and	and	CCONJ
ejpam-4758	149	21	mohamed	mohame	VERB
ejpam-4758	149	22	a	a	DET
ejpam-4758	149	23	eltaher	eltaher	NOUN
ejpam-4758	149	24	.	.	PUNCT
ejpam-4758	150	1	investigation	investigation	NOUN
ejpam-4758	150	2	of	of	ADP
ejpam-4758	150	3	size	size	NOUN
ejpam-4758	150	4	-	-	PUNCT
ejpam-4758	150	5	dependent	dependent	ADJ
ejpam-4758	150	6	vibration	vibration	NOUN
ejpam-4758	150	7	behavior	behavior	NOUN
ejpam-4758	150	8	of	of	ADP
ejpam-4758	150	9	piezoelectric	piezoelectric	ADJ
ejpam-4758	150	10	composite	composite	ADJ
ejpam-4758	150	11	nanobeams	nanobeam	NOUN
ejpam-4758	150	12	embedded	embed	VERB
ejpam-4758	150	13	in	in	ADP
ejpam-4758	150	14	an	an	DET
ejpam-4758	150	15	elastic	elastic	ADJ
ejpam-4758	150	16	foundation	foundation	NOUN
ejpam-4758	150	17	considering	consider	VERB
ejpam-4758	150	18	flexoelectricity	flexoelectricity	NOUN
ejpam-4758	150	19	effects	effect	NOUN
ejpam-4758	150	20	.	.	PUNCT
ejpam-4758	151	1	mathematics	mathematic	NOUN
ejpam-4758	151	2	,	,	PUNCT
ejpam-4758	151	3	11(5):1180	11(5):1180	NUM
ejpam-4758	151	4	,	,	PUNCT
ejpam-4758	151	5	2023	2023	NUM
ejpam-4758	151	6	.	.	PUNCT
ejpam-4758	152	1	[	[	X
ejpam-4758	152	2	2	2	NUM
ejpam-4758	152	3	]	]	SYM
ejpam-4758	152	4	vi	vi	X
ejpam-4758	152	5	agoshkov	agoshkov	NOUN
ejpam-4758	152	6	.	.	PUNCT
ejpam-4758	153	1	control	control	NOUN
ejpam-4758	153	2	theory	theory	NOUN
ejpam-4758	153	3	approaches	approach	VERB
ejpam-4758	153	4	in	in	ADP
ejpam-4758	153	5	data	datum	NOUN
ejpam-4758	153	6	assimilation	assimilation	NOUN
ejpam-4758	153	7	processes	process	NOUN
ejpam-4758	153	8	,	,	PUNCT
ejpam-4758	153	9	inverse	inverse	ADJ
ejpam-4758	153	10	probreferences	probreference	NOUN
ejpam-4758	153	11	1152	1152	NUM
ejpam-4758	153	12	lems	lem	NOUN
ejpam-4758	153	13	and	and	CCONJ
ejpam-4758	153	14	hydrodynamics	hydrodynamic	NOUN
ejpam-4758	153	15	.	.	PUNCT
ejpam-4758	154	1	computer	computer	NOUN
ejpam-4758	154	2	mathematics	mathematic	NOUN
ejpam-4758	154	3	and	and	CCONJ
ejpam-4758	154	4	its	its	PRON
ejpam-4758	154	5	applications	application	NOUN
ejpam-4758	154	6	,	,	PUNCT
ejpam-4758	154	7	hms	hms	PROPN
ejpam-4758	154	8	/	/	SYM
ejpam-4758	154	9	cma	cma	PROPN
ejpam-4758	154	10	,	,	PUNCT
ejpam-4758	154	11	1:21–39	1:21–39	NUM
ejpam-4758	154	12	,	,	PUNCT
ejpam-4758	154	13	1994	1994	NUM
ejpam-4758	154	14	.	.	PUNCT
ejpam-4758	155	1	[	[	X
ejpam-4758	155	2	3	3	NUM
ejpam-4758	155	3	]	]	SYM
ejpam-4758	155	4	vi	vi	NOUN
ejpam-4758	155	5	agoshkov	agoshkov	NOUN
ejpam-4758	155	6	and	and	CCONJ
ejpam-4758	155	7	pb	pb	ADP
ejpam-4758	155	8	dubovski	dubovski	NOUN
ejpam-4758	155	9	.	.	PUNCT
ejpam-4758	156	1	solution	solution	NOUN
ejpam-4758	156	2	of	of	ADP
ejpam-4758	156	3	the	the	DET
ejpam-4758	156	4	reconstruction	reconstruction	NOUN
ejpam-4758	156	5	problem	problem	NOUN
ejpam-4758	156	6	of	of	ADP
ejpam-4758	156	7	a	a	DET
ejpam-4758	156	8	source	source	NOUN
ejpam-4758	156	9	function	function	NOUN
ejpam-4758	156	10	in	in	ADP
ejpam-4758	156	11	the	the	DET
ejpam-4758	156	12	coagulation	coagulation	NOUN
ejpam-4758	156	13	-	-	PUNCT
ejpam-4758	156	14	fragmentation	fragmentation	NOUN
ejpam-4758	156	15	equation	equation	NOUN
ejpam-4758	156	16	.	.	PUNCT
ejpam-4758	157	1	russian	russian	ADJ
ejpam-4758	157	2	journal	journal	PROPN
ejpam-4758	157	3	of	of	ADP
ejpam-4758	157	4	numerical	numerical	ADJ
ejpam-4758	157	5	analysis	analysis	NOUN
ejpam-4758	157	6	and	and	CCONJ
ejpam-4758	157	7	mathematical	mathematical	ADJ
ejpam-4758	157	8	modelling	modelling	NOUN
ejpam-4758	157	9	,	,	PUNCT
ejpam-4758	157	10	17(4):319–330	17(4):319–330	PROPN
ejpam-4758	157	11	,	,	PUNCT
ejpam-4758	157	12	2002	2002	NUM
ejpam-4758	157	13	.	.	PUNCT
ejpam-4758	158	1	[	[	X
ejpam-4758	158	2	4	4	NUM
ejpam-4758	158	3	]	]	X
ejpam-4758	158	4	leon	leon	PROPN
ejpam-4758	158	5	gray	gray	PROPN
ejpam-4758	158	6	.	.	PUNCT
ejpam-4758	159	1	how	how	SCONJ
ejpam-4758	159	2	does	do	AUX
ejpam-4758	159	3	a	a	DET
ejpam-4758	159	4	touch	touch	NOUN
ejpam-4758	159	5	screen	screen	NOUN
ejpam-4758	159	6	work	work	NOUN
ejpam-4758	159	7	?	?	PUNCT
ejpam-4758	160	1	the	the	DET
ejpam-4758	160	2	rosen	rosen	PROPN
ejpam-4758	160	3	publishing	publishing	PROPN
ejpam-4758	160	4	group	group	NOUN
ejpam-4758	160	5	,	,	PUNCT
ejpam-4758	160	6	2013	2013	NUM
ejpam-4758	160	7	.	.	PUNCT
ejpam-4758	161	1	[	[	X
ejpam-4758	161	2	5	5	NUM
ejpam-4758	161	3	]	]	PUNCT
ejpam-4758	161	4	leopold	leopold	PROPN
ejpam-4758	161	5	herrmann	herrmann	PROPN
ejpam-4758	161	6	.	.	PUNCT
ejpam-4758	162	1	vibration	vibration	NOUN
ejpam-4758	162	2	of	of	ADP
ejpam-4758	162	3	the	the	DET
ejpam-4758	162	4	euler	euler	PROPN
ejpam-4758	162	5	-	-	PUNCT
ejpam-4758	162	6	bernoulli	bernoulli	PROPN
ejpam-4758	162	7	beam	beam	NOUN
ejpam-4758	162	8	with	with	ADP
ejpam-4758	162	9	allowance	allowance	NOUN
ejpam-4758	162	10	for	for	ADP
ejpam-4758	162	11	dampings	damping	NOUN
ejpam-4758	162	12	.	.	PUNCT
ejpam-4758	163	1	nature	nature	NOUN
ejpam-4758	163	2	,	,	PUNCT
ejpam-4758	163	3	5:433	5:433	PRON
ejpam-4758	163	4	,	,	PUNCT
ejpam-4758	163	5	2008	2008	NUM
ejpam-4758	163	6	.	.	PUNCT
ejpam-4758	164	1	[	[	X
ejpam-4758	164	2	6	6	NUM
ejpam-4758	164	3	]	]	PUNCT
ejpam-4758	164	4	satwant	satwant	ADJ
ejpam-4758	164	5	kaur	kaur	PROPN
ejpam-4758	164	6	.	.	PUNCT
ejpam-4758	165	1	the	the	DET
ejpam-4758	165	2	revolution	revolution	NOUN
ejpam-4758	165	3	of	of	ADP
ejpam-4758	165	4	tablet	tablet	NOUN
ejpam-4758	165	5	computers	computer	NOUN
ejpam-4758	165	6	and	and	CCONJ
ejpam-4758	165	7	apps	app	NOUN
ejpam-4758	165	8	:	:	PUNCT
ejpam-4758	165	9	a	a	DET
ejpam-4758	165	10	look	look	NOUN
ejpam-4758	165	11	at	at	ADP
ejpam-4758	165	12	emerging	emerge	VERB
ejpam-4758	165	13	trends	trend	NOUN
ejpam-4758	165	14	.	.	PUNCT
ejpam-4758	166	1	ieee	ieee	NOUN
ejpam-4758	166	2	consumer	consumer	NOUN
ejpam-4758	166	3	electronics	electronic	NOUN
ejpam-4758	166	4	magazine	magazine	NOUN
ejpam-4758	166	5	,	,	PUNCT
ejpam-4758	166	6	2(1):36–41	2(1):36–41	NUM
ejpam-4758	166	7	,	,	PUNCT
ejpam-4758	166	8	2013	2013	NUM
ejpam-4758	166	9	.	.	PUNCT
ejpam-4758	167	1	[	[	X
ejpam-4758	167	2	7	7	NUM
ejpam-4758	167	3	]	]	X
ejpam-4758	167	4	dieter	dieter	NOUN
ejpam-4758	167	5	krause	krause	NOUN
ejpam-4758	167	6	and	and	CCONJ
ejpam-4758	167	7	horst	horst	PROPN
ejpam-4758	167	8	loch	loch	PROPN
ejpam-4758	167	9	.	.	PUNCT
ejpam-4758	168	1	mathematical	mathematical	ADJ
ejpam-4758	168	2	simulation	simulation	NOUN
ejpam-4758	168	3	in	in	ADP
ejpam-4758	168	4	glass	glass	NOUN
ejpam-4758	168	5	technology	technology	NOUN
ejpam-4758	168	6	.	.	PUNCT
ejpam-4758	169	1	springer	springer	NOUN
ejpam-4758	169	2	science	science	PROPN
ejpam-4758	169	3	&	&	CCONJ
ejpam-4758	169	4	business	business	NOUN
ejpam-4758	169	5	media	medium	NOUN
ejpam-4758	169	6	,	,	PUNCT
ejpam-4758	169	7	2002	2002	NUM
ejpam-4758	169	8	.	.	PUNCT
ejpam-4758	170	1	[	[	X
ejpam-4758	170	2	8	8	NUM
ejpam-4758	170	3	]	]	PUNCT
ejpam-4758	170	4	yx	yx	PROPN
ejpam-4758	170	5	li	li	PROPN
ejpam-4758	170	6	and	and	CCONJ
ejpam-4758	170	7	lz	lz	PROPN
ejpam-4758	170	8	sun	sun	PROPN
ejpam-4758	170	9	.	.	PUNCT
ejpam-4758	171	1	transverse	transverse	NOUN
ejpam-4758	171	2	vibration	vibration	NOUN
ejpam-4758	171	3	of	of	ADP
ejpam-4758	171	4	an	an	DET
ejpam-4758	171	5	undamped	undampe	VERB
ejpam-4758	171	6	elastically	elastically	ADV
ejpam-4758	171	7	connected	connect	VERB
ejpam-4758	171	8	doublebeam	doublebeam	NOUN
ejpam-4758	171	9	system	system	NOUN
ejpam-4758	171	10	with	with	ADP
ejpam-4758	171	11	arbitrary	arbitrary	ADJ
ejpam-4758	171	12	boundary	boundary	ADJ
ejpam-4758	171	13	conditions	condition	NOUN
ejpam-4758	171	14	.	.	PUNCT
ejpam-4758	172	1	journal	journal	NOUN
ejpam-4758	172	2	of	of	ADP
ejpam-4758	172	3	engineering	engineering	NOUN
ejpam-4758	172	4	mechanics	mechanic	NOUN
ejpam-4758	172	5	,	,	PUNCT
ejpam-4758	172	6	142(2):04015070	142(2):04015070	NUM
ejpam-4758	172	7	,	,	PUNCT
ejpam-4758	172	8	2016	2016	NUM
ejpam-4758	172	9	.	.	PUNCT
ejpam-4758	173	1	[	[	X
ejpam-4758	173	2	9	9	NUM
ejpam-4758	173	3	]	]	PUNCT
ejpam-4758	173	4	gi	gi	NOUN
ejpam-4758	173	5	marchuk	marchuk	NOUN
ejpam-4758	173	6	and	and	CCONJ
ejpam-4758	173	7	vi	vi	PROPN
ejpam-4758	173	8	lebedev	lebedev	PROPN
ejpam-4758	173	9	.	.	PUNCT
ejpam-4758	174	1	numerical	numerical	ADJ
ejpam-4758	174	2	methods	method	NOUN
ejpam-4758	174	3	in	in	ADP
ejpam-4758	174	4	the	the	DET
ejpam-4758	174	5	theory	theory	NOUN
ejpam-4758	174	6	of	of	ADP
ejpam-4758	174	7	neutron	neutron	NOUN
ejpam-4758	174	8	transport	transport	NOUN
ejpam-4758	174	9	.	.	PUNCT
ejpam-4758	175	1	1986	1986	NUM
ejpam-4758	175	2	.	.	PUNCT
ejpam-4758	176	1	[	[	X
ejpam-4758	176	2	10	10	NUM
ejpam-4758	176	3	]	]	X
ejpam-4758	176	4	andre	andre	PROPN
ejpam-4758	176	5	gianesini	gianesini	PROPN
ejpam-4758	176	6	odu	odu	PROPN
ejpam-4758	176	7	,	,	PUNCT
ejpam-4758	176	8	emmanuel	emmanuel	PROPN
ejpam-4758	176	9	maitre	maitre	PROPN
ejpam-4758	176	10	,	,	PUNCT
ejpam-4758	176	11	matthew	matthew	PROPN
ejpam-4758	176	12	mccurdy	mccurdy	PROPN
ejpam-4758	176	13	,	,	PUNCT
ejpam-4758	176	14	arthur	arthur	PROPN
ejpam-4758	176	15	newell	newell	PROPN
ejpam-4758	176	16	,	,	PUNCT
ejpam-4758	176	17	don	don	PROPN
ejpam-4758	176	18	schwendeman	schwendeman	NOUN
ejpam-4758	176	19	,	,	PUNCT
ejpam-4758	176	20	and	and	CCONJ
ejpam-4758	176	21	thomas	thomas	PROPN
ejpam-4758	176	22	witelski	witelski	PROPN
ejpam-4758	176	23	.	.	PUNCT
ejpam-4758	177	1	deflection	deflection	NOUN
ejpam-4758	177	2	and	and	CCONJ
ejpam-4758	177	3	stresses	stress	NOUN
ejpam-4758	177	4	in	in	ADP
ejpam-4758	177	5	beams	beam	NOUN
ejpam-4758	177	6	joined	join	VERB
ejpam-4758	177	7	together	together	ADV
ejpam-4758	177	8	by	by	ADP
ejpam-4758	177	9	a	a	DET
ejpam-4758	177	10	continuous	continuous	ADJ
ejpam-4758	177	11	spring	spring	NOUN
ejpam-4758	177	12	layer	layer	NOUN
ejpam-4758	177	13	.	.	PUNCT
ejpam-4758	178	1	[	[	X
ejpam-4758	178	2	11	11	NUM
ejpam-4758	178	3	]	]	PUNCT
ejpam-4758	178	4	z	z	NOUN
ejpam-4758	178	5	oniszczuk	oniszczuk	NOUN
ejpam-4758	178	6	.	.	PUNCT
ejpam-4758	179	1	forced	force	VERB
ejpam-4758	179	2	transverse	transverse	NOUN
ejpam-4758	179	3	vibrations	vibration	NOUN
ejpam-4758	179	4	of	of	ADP
ejpam-4758	179	5	an	an	DET
ejpam-4758	179	6	elastically	elastically	ADV
ejpam-4758	179	7	connected	connect	VERB
ejpam-4758	179	8	complex	complex	NOUN
ejpam-4758	179	9	simply	simply	ADV
ejpam-4758	179	10	supported	support	VERB
ejpam-4758	179	11	double	double	ADJ
ejpam-4758	179	12	-	-	PUNCT
ejpam-4758	179	13	beam	beam	NOUN
ejpam-4758	179	14	system	system	NOUN
ejpam-4758	179	15	.	.	PUNCT
ejpam-4758	180	1	journal	journal	PROPN
ejpam-4758	180	2	of	of	ADP
ejpam-4758	180	3	sound	sound	NOUN
ejpam-4758	180	4	and	and	CCONJ
ejpam-4758	180	5	vibration	vibration	NOUN
ejpam-4758	180	6	,	,	PUNCT
ejpam-4758	180	7	264(2):273–286	264(2):273–286	NUM
ejpam-4758	180	8	,	,	PUNCT
ejpam-4758	180	9	2003	2003	NUM
ejpam-4758	180	10	.	.	PUNCT
ejpam-4758	181	1	[	[	X
ejpam-4758	181	2	12	12	NUM
ejpam-4758	181	3	]	]	PUNCT
ejpam-4758	181	4	z	z	NOUN
ejpam-4758	181	5	oniszczuk	oniszczuk	NOUN
ejpam-4758	181	6	.	.	PUNCT
ejpam-4758	182	1	forced	force	VERB
ejpam-4758	182	2	transverse	transverse	NOUN
ejpam-4758	182	3	vibrations	vibration	NOUN
ejpam-4758	182	4	of	of	ADP
ejpam-4758	182	5	an	an	DET
ejpam-4758	182	6	elastically	elastically	ADV
ejpam-4758	182	7	connected	connected	ADJ
ejpam-4758	182	8	complex	complex	ADJ
ejpam-4758	182	9	rectangular	rectangular	NOUN
ejpam-4758	182	10	simply	simply	ADV
ejpam-4758	182	11	supported	support	VERB
ejpam-4758	182	12	double	double	ADJ
ejpam-4758	182	13	-	-	PUNCT
ejpam-4758	182	14	plate	plate	NOUN
ejpam-4758	182	15	system	system	NOUN
ejpam-4758	182	16	.	.	PUNCT
ejpam-4758	183	1	journal	journal	PROPN
ejpam-4758	183	2	of	of	ADP
ejpam-4758	183	3	sound	sound	NOUN
ejpam-4758	183	4	and	and	CCONJ
ejpam-4758	183	5	vibration	vibration	NOUN
ejpam-4758	183	6	,	,	PUNCT
ejpam-4758	183	7	270(45):997–1011	270(45):997–1011	NUM
ejpam-4758	183	8	,	,	PUNCT
ejpam-4758	183	9	2004	2004	NUM
ejpam-4758	183	10	.	.	PUNCT
ejpam-4758	184	1	[	[	X
ejpam-4758	184	2	13	13	NUM
ejpam-4758	184	3	]	]	SYM
ejpam-4758	184	4	v	v	NUM
ejpam-4758	184	5	shutyaev	shutyaev	NOUN
ejpam-4758	184	6	.	.	PUNCT
ejpam-4758	185	1	control	control	NOUN
ejpam-4758	185	2	operators	operator	NOUN
ejpam-4758	185	3	and	and	CCONJ
ejpam-4758	185	4	iterative	iterative	ADJ
ejpam-4758	185	5	algorithms	algorithm	NOUN
ejpam-4758	185	6	in	in	ADP
ejpam-4758	185	7	variational	variational	ADJ
ejpam-4758	185	8	data	datum	NOUN
ejpam-4758	185	9	assimilation	assimilation	NOUN
ejpam-4758	185	10	problems	problem	NOUN
ejpam-4758	185	11	.	.	PUNCT
ejpam-4758	186	1	journal	journal	NOUN
ejpam-4758	186	2	of	of	ADP
ejpam-4758	186	3	inverse	inverse	NOUN
ejpam-4758	186	4	and	and	CCONJ
ejpam-4758	186	5	ill	ill	ADV
ejpam-4758	186	6	-	-	PUNCT
ejpam-4758	186	7	posed	pose	VERB
ejpam-4758	186	8	problems	problem	NOUN
ejpam-4758	186	9	,	,	PUNCT
ejpam-4758	186	10	9(2):177–188	9(2):177–188	NUM
ejpam-4758	186	11	,	,	PUNCT
ejpam-4758	186	12	2001	2001	NUM
ejpam-4758	186	13	.	.	PUNCT
ejpam-4758	187	1	[	[	X
ejpam-4758	187	2	14	14	NUM
ejpam-4758	187	3	]	]	X
ejpam-4758	187	4	guillermo	guillermo	PROPN
ejpam-4758	187	5	suarez	suarez	PROPN
ejpam-4758	187	6	-	-	PUNCT
ejpam-4758	187	7	tangil	tangil	PROPN
ejpam-4758	187	8	,	,	PUNCT
ejpam-4758	187	9	juan	juan	PROPN
ejpam-4758	187	10	e	e	PROPN
ejpam-4758	187	11	tapiador	tapiador	PROPN
ejpam-4758	187	12	,	,	PUNCT
ejpam-4758	187	13	pedro	pedro	PROPN
ejpam-4758	187	14	peris	peris	PROPN
ejpam-4758	187	15	-	-	PUNCT
ejpam-4758	187	16	lopez	lopez	NOUN
ejpam-4758	187	17	,	,	PUNCT
ejpam-4758	187	18	and	and	CCONJ
ejpam-4758	187	19	arturo	arturo	PROPN
ejpam-4758	187	20	ribagorda	ribagorda	PROPN
ejpam-4758	187	21	.	.	PUNCT
ejpam-4758	188	1	evolution	evolution	NOUN
ejpam-4758	188	2	,	,	PUNCT
ejpam-4758	188	3	detection	detection	NOUN
ejpam-4758	188	4	and	and	CCONJ
ejpam-4758	188	5	analysis	analysis	NOUN
ejpam-4758	188	6	of	of	ADP
ejpam-4758	188	7	malware	malware	NOUN
ejpam-4758	188	8	for	for	ADP
ejpam-4758	188	9	smart	smart	ADJ
ejpam-4758	188	10	devices	device	NOUN
ejpam-4758	188	11	.	.	PUNCT
ejpam-4758	189	1	ieee	ieee	NOUN
ejpam-4758	189	2	communications	communication	NOUN
ejpam-4758	189	3	surveys	survey	NOUN
ejpam-4758	189	4	&	&	CCONJ
ejpam-4758	189	5	tutorials	tutorial	NOUN
ejpam-4758	189	6	,	,	PUNCT
ejpam-4758	189	7	16(2):961–987	16(2):961–987	PROPN
ejpam-4758	189	8	,	,	PUNCT
ejpam-4758	189	9	2013	2013	NUM
ejpam-4758	189	10	.	.	PUNCT
ejpam-4758	190	1	[	[	X
ejpam-4758	190	2	15	15	NUM
ejpam-4758	190	3	]	]	X
ejpam-4758	190	4	an	an	DET
ejpam-4758	190	5	tikhonov	tikhonov	NOUN
ejpam-4758	190	6	.	.	PUNCT
ejpam-4758	191	1	ill	ill	ADV
ejpam-4758	191	2	-	-	PUNCT
ejpam-4758	191	3	posed	pose	VERB
ejpam-4758	191	4	problems	problem	NOUN
ejpam-4758	191	5	in	in	ADP
ejpam-4758	191	6	natural	natural	ADJ
ejpam-4758	191	7	sciences	science	NOUN
ejpam-4758	191	8	:	:	PUNCT
ejpam-4758	191	9	proceedings	proceeding	NOUN
ejpam-4758	191	10	of	of	ADP
ejpam-4758	191	11	the	the	DET
ejpam-4758	191	12	international	international	ADJ
ejpam-4758	191	13	conference	conference	NOUN
ejpam-4758	191	14	held	hold	VERB
ejpam-4758	191	15	in	in	ADP
ejpam-4758	191	16	moscow	moscow	PROPN
ejpam-4758	191	17	,	,	PUNCT
ejpam-4758	191	18	august	august	PROPN
ejpam-4758	191	19	19–25	19–25	NUM
ejpam-4758	191	20	,	,	PUNCT
ejpam-4758	191	21	1991	1991	NUM
ejpam-4758	191	22	.	.	PUNCT
ejpam-4758	192	1	walter	walter	PROPN
ejpam-4758	192	2	de	de	PROPN
ejpam-4758	192	3	gruyter	gruyter	PROPN
ejpam-4758	192	4	gmbh	gmbh	PROPN
ejpam-4758	192	5	&	&	CCONJ
ejpam-4758	192	6	co	co	X
ejpam-4758	192	7	kg	kg	PROPN
ejpam-4758	192	8	,	,	PUNCT
ejpam-4758	192	9	2020	2020	NUM
ejpam-4758	192	10	.	.	PUNCT
ejpam-4758	193	1	references	reference	NOUN
ejpam-4758	193	2	1153	1153	NUM
ejpam-4758	193	3	[	[	X
ejpam-4758	193	4	16	16	NUM
ejpam-4758	193	5	]	]	X
ejpam-4758	193	6	gm	gm	PROPN
ejpam-4758	193	7	vainikko	vainikko	NOUN
ejpam-4758	193	8	and	and	CCONJ
ejpam-4758	193	9	a	a	DET
ejpam-4758	193	10	yu	yu	PROPN
ejpam-4758	193	11	veretennikov	veretennikov	PROPN
ejpam-4758	193	12	.	.	PUNCT
ejpam-4758	194	1	iteration	iteration	NOUN
ejpam-4758	194	2	procedures	procedure	NOUN
ejpam-4758	194	3	in	in	ADP
ejpam-4758	194	4	ill	ill	ADV
ejpam-4758	194	5	-	-	PUNCT
ejpam-4758	194	6	posed	pose	VERB
ejpam-4758	194	7	problems	problem	NOUN
ejpam-4758	194	8	,	,	PUNCT
ejpam-4758	194	9	1986	1986	NUM
ejpam-4758	194	10	.	.	PUNCT
ejpam-4758	195	1	[	[	X
ejpam-4758	195	2	17	17	NUM
ejpam-4758	195	3	]	]	X
ejpam-4758	195	4	geoff	geoff	PROPN
ejpam-4758	195	5	walker	walker	PROPN
ejpam-4758	195	6	.	.	PUNCT
ejpam-4758	196	1	fundamentals	fundamental	NOUN
ejpam-4758	196	2	of	of	ADP
ejpam-4758	196	3	touch	touch	NOUN
ejpam-4758	196	4	technologies	technology	NOUN
ejpam-4758	196	5	.	.	PUNCT
ejpam-4758	197	1	sunday	sunday	PROPN
ejpam-4758	197	2	short	short	ADJ
ejpam-4758	197	3	course	course	NOUN
ejpam-4758	197	4	(	(	PUNCT
ejpam-4758	197	5	s-4	s-4	PROPN
ejpam-4758	197	6	)	)	PUNCT
ejpam-4758	197	7	,	,	PUNCT
ejpam-4758	197	8	sid	sid	PROPN
ejpam-4758	197	9	display	display	PROPN
ejpam-4758	197	10	week	week	NOUN
ejpam-4758	197	11	,	,	PUNCT
ejpam-4758	197	12	2013	2013	NUM
ejpam-4758	197	13	.	.	PUNCT
ejpam-4758	198	1	[	[	X
ejpam-4758	198	2	18	18	NUM
ejpam-4758	198	3	]	]	X
ejpam-4758	198	4	zhen	zhen	PROPN
ejpam-4758	198	5	zhang	zhang	PROPN
ejpam-4758	198	6	,	,	PUNCT
ejpam-4758	198	7	wuyi	wuyi	PROPN
ejpam-4758	198	8	ming	ming	PROPN
ejpam-4758	198	9	,	,	PUNCT
ejpam-4758	198	10	yi	yi	PROPN
ejpam-4758	198	11	zhang	zhang	PROPN
ejpam-4758	198	12	,	,	PUNCT
ejpam-4758	198	13	ling	ling	PROPN
ejpam-4758	198	14	yin	yin	PROPN
ejpam-4758	198	15	,	,	PUNCT
ejpam-4758	198	16	tao	tao	PROPN
ejpam-4758	198	17	xue	xue	PROPN
ejpam-4758	198	18	,	,	PUNCT
ejpam-4758	198	19	haishen	haishen	PROPN
ejpam-4758	198	20	yu	yu	PROPN
ejpam-4758	198	21	,	,	PUNCT
ejpam-4758	198	22	zhijun	zhijun	PROPN
ejpam-4758	198	23	chen	chen	PROPN
ejpam-4758	198	24	,	,	PUNCT
ejpam-4758	198	25	dunming	dunme	VERB
ejpam-4758	198	26	liao	liao	NOUN
ejpam-4758	198	27	,	,	PUNCT
ejpam-4758	198	28	and	and	CCONJ
ejpam-4758	198	29	guojun	guojun	PROPN
ejpam-4758	198	30	zhang	zhang	PROPN
ejpam-4758	198	31	.	.	PUNCT
ejpam-4758	199	1	analyzing	analyze	VERB
ejpam-4758	199	2	sustainable	sustainable	ADJ
ejpam-4758	199	3	performance	performance	NOUN
ejpam-4758	199	4	on	on	ADP
ejpam-4758	199	5	highprecision	highprecision	NOUN
ejpam-4758	199	6	molding	molding	NOUN
ejpam-4758	199	7	process	process	NOUN
ejpam-4758	199	8	of	of	ADP
ejpam-4758	199	9	3d	3d	NUM
ejpam-4758	199	10	ultra	ultra	ADJ
ejpam-4758	199	11	-	-	ADJ
ejpam-4758	199	12	thin	thin	ADJ
ejpam-4758	199	13	glass	glass	NOUN
ejpam-4758	199	14	for	for	ADP
ejpam-4758	199	15	smart	smart	ADJ
ejpam-4758	199	16	phone	phone	NOUN
ejpam-4758	199	17	.	.	PUNCT
ejpam-4758	200	1	journal	journal	PROPN
ejpam-4758	200	2	of	of	ADP
ejpam-4758	200	3	cleaner	clean	ADJ
ejpam-4758	200	4	production	production	NOUN
ejpam-4758	200	5	,	,	PUNCT
ejpam-4758	200	6	255:120196	255:120196	NUM
ejpam-4758	200	7	,	,	PUNCT
ejpam-4758	200	8	2020	2020	NUM
ejpam-4758	200	9	.	.	PUNCT