id	sid	tid	token	lemma	pos
ejpam-4693	1	1	european	european	PROPN
ejpam-4693	1	2	journal	journal	PROPN
ejpam-4693	1	3	of	of	ADP
ejpam-4693	1	4	pure	pure	ADJ
ejpam-4693	1	5	and	and	CCONJ
ejpam-4693	1	6	applied	apply	VERB
ejpam-4693	1	7	mathematics	mathematic	NOUN
ejpam-4693	1	8	vol	vol	NOUN
ejpam-4693	1	9	.	.	PUNCT
ejpam-4693	2	1	16	16	NUM
ejpam-4693	2	2	,	,	PUNCT
ejpam-4693	2	3	no	no	INTJ
ejpam-4693	2	4	.	.	NOUN
ejpam-4693	2	5	2	2	NUM
ejpam-4693	2	6	,	,	PUNCT
ejpam-4693	2	7	2023	2023	NUM
ejpam-4693	2	8	,	,	PUNCT
ejpam-4693	2	9	864	864	NUM
ejpam-4693	2	10	-	-	SYM
ejpam-4693	2	11	892	892	NUM
ejpam-4693	2	12	issn	issn	PROPN
ejpam-4693	2	13	1307	1307	NUM
ejpam-4693	2	14	-	-	SYM
ejpam-4693	2	15	5543	5543	NUM
ejpam-4693	2	16	–	–	PUNCT
ejpam-4693	3	1	ejpam.com	ejpam.com	X
ejpam-4693	3	2	published	publish	VERB
ejpam-4693	3	3	by	by	ADP
ejpam-4693	3	4	new	new	PROPN
ejpam-4693	3	5	york	york	PROPN
ejpam-4693	3	6	business	business	PROPN
ejpam-4693	3	7	global	global	PROPN
ejpam-4693	3	8	the	the	DET
ejpam-4693	3	9	homotopy	homotopy	NOUN
ejpam-4693	3	10	analysis	analysis	NOUN
ejpam-4693	3	11	method	method	NOUN
ejpam-4693	3	12	to	to	PART
ejpam-4693	3	13	solve	solve	VERB
ejpam-4693	3	14	the	the	DET
ejpam-4693	3	15	nonlinear	nonlinear	ADJ
ejpam-4693	3	16	system	system	NOUN
ejpam-4693	3	17	of	of	ADP
ejpam-4693	3	18	volterra	volterra	PROPN
ejpam-4693	3	19	integral	integral	ADJ
ejpam-4693	3	20	equations	equation	NOUN
ejpam-4693	3	21	and	and	CCONJ
ejpam-4693	3	22	applying	apply	VERB
ejpam-4693	3	23	the	the	DET
ejpam-4693	3	24	genetic	genetic	ADJ
ejpam-4693	3	25	algorithm	algorithm	NOUN
ejpam-4693	3	26	to	to	PART
ejpam-4693	3	27	enhance	enhance	VERB
ejpam-4693	3	28	the	the	DET
ejpam-4693	3	29	solutions	solution	NOUN
ejpam-4693	3	30	rasha	rasha	PROPN
ejpam-4693	3	31	f.	f.	PROPN
ejpam-4693	3	32	ahmed1	ahmed1	PROPN
ejpam-4693	3	33	,	,	PUNCT
ejpam-4693	3	34	waleed	waleed	PROPN
ejpam-4693	3	35	al	al	PROPN
ejpam-4693	3	36	-	-	PUNCT
ejpam-4693	3	37	hayani1,∗	hayani1,∗	NOUN
ejpam-4693	3	38	,	,	PUNCT
ejpam-4693	3	39	abbas	abbas	PROPN
ejpam-4693	3	40	y.	y.	PROPN
ejpam-4693	3	41	al	al	PROPN
ejpam-4693	3	42	-	-	PUNCT
ejpam-4693	3	43	bayati2	bayati2	PROPN
ejpam-4693	3	44	1	1	NUM
ejpam-4693	3	45	department	department	NOUN
ejpam-4693	3	46	of	of	ADP
ejpam-4693	3	47	mathematics	mathematic	NOUN
ejpam-4693	3	48	,	,	PUNCT
ejpam-4693	3	49	college	college	NOUN
ejpam-4693	3	50	of	of	ADP
ejpam-4693	3	51	computer	computer	NOUN
ejpam-4693	3	52	science	science	NOUN
ejpam-4693	3	53	and	and	CCONJ
ejpam-4693	3	54	mathematics	mathematic	NOUN
ejpam-4693	3	55	,	,	PUNCT
ejpam-4693	3	56	university	university	NOUN
ejpam-4693	3	57	of	of	ADP
ejpam-4693	3	58	mosul	mosul	PROPN
ejpam-4693	3	59	,	,	PUNCT
ejpam-4693	3	60	mosul	mosul	PROPN
ejpam-4693	3	61	,	,	PUNCT
ejpam-4693	3	62	iraq	iraq	PROPN
ejpam-4693	3	63	2	2	NUM
ejpam-4693	3	64	department	department	NOUN
ejpam-4693	3	65	of	of	ADP
ejpam-4693	3	66	mathematics	mathematic	NOUN
ejpam-4693	3	67	,	,	PUNCT
ejpam-4693	3	68	college	college	NOUN
ejpam-4693	3	69	of	of	ADP
ejpam-4693	3	70	basic	basic	ADJ
ejpam-4693	3	71	education	education	NOUN
ejpam-4693	3	72	,	,	PUNCT
ejpam-4693	3	73	university	university	NOUN
ejpam-4693	3	74	of	of	ADP
ejpam-4693	3	75	telafer	telafer	PROPN
ejpam-4693	3	76	,	,	PUNCT
ejpam-4693	3	77	mosul	mosul	PROPN
ejpam-4693	3	78	,	,	PUNCT
ejpam-4693	3	79	iraq	iraq	PROPN
ejpam-4693	3	80	abstract	abstract	NOUN
ejpam-4693	3	81	.	.	PUNCT
ejpam-4693	4	1	this	this	DET
ejpam-4693	4	2	paper	paper	NOUN
ejpam-4693	4	3	presents	present	VERB
ejpam-4693	4	4	the	the	DET
ejpam-4693	4	5	application	application	NOUN
ejpam-4693	4	6	of	of	ADP
ejpam-4693	4	7	the	the	DET
ejpam-4693	4	8	homotopy	homotopy	NOUN
ejpam-4693	4	9	analysis	analysis	NOUN
ejpam-4693	4	10	method	method	NOUN
ejpam-4693	4	11	(	(	PUNCT
ejpam-4693	4	12	ham	ham	NOUN
ejpam-4693	4	13	)	)	PUNCT
ejpam-4693	4	14	for	for	ADP
ejpam-4693	4	15	solving	solve	VERB
ejpam-4693	4	16	nonlinear	nonlinear	ADJ
ejpam-4693	4	17	system	system	NOUN
ejpam-4693	4	18	of	of	ADP
ejpam-4693	4	19	volterra	volterra	PROPN
ejpam-4693	4	20	integral	integral	ADJ
ejpam-4693	4	21	equations	equation	NOUN
ejpam-4693	4	22	used	use	VERB
ejpam-4693	4	23	to	to	PART
ejpam-4693	4	24	obtain	obtain	VERB
ejpam-4693	4	25	a	a	DET
ejpam-4693	4	26	reasonably	reasonably	ADV
ejpam-4693	4	27	approximate	approximate	ADJ
ejpam-4693	4	28	solution	solution	NOUN
ejpam-4693	4	29	.	.	PUNCT
ejpam-4693	5	1	the	the	DET
ejpam-4693	5	2	ham	ham	PROPN
ejpam-4693	5	3	contains	contain	VERB
ejpam-4693	5	4	the	the	DET
ejpam-4693	5	5	auxiliary	auxiliary	ADJ
ejpam-4693	5	6	parameter	parameter	NOUN
ejpam-4693	5	7	h	h	PROPN
ejpam-4693	5	8	which	which	PRON
ejpam-4693	5	9	provides	provide	VERB
ejpam-4693	5	10	a	a	DET
ejpam-4693	5	11	simple	simple	ADJ
ejpam-4693	5	12	way	way	NOUN
ejpam-4693	5	13	to	to	PART
ejpam-4693	5	14	adjust	adjust	VERB
ejpam-4693	5	15	and	and	CCONJ
ejpam-4693	5	16	control	control	VERB
ejpam-4693	5	17	the	the	DET
ejpam-4693	5	18	convergence	convergence	NOUN
ejpam-4693	5	19	region	region	NOUN
ejpam-4693	5	20	of	of	ADP
ejpam-4693	5	21	the	the	DET
ejpam-4693	5	22	solution	solution	NOUN
ejpam-4693	5	23	series	series	NOUN
ejpam-4693	5	24	.	.	PUNCT
ejpam-4693	6	1	the	the	DET
ejpam-4693	6	2	results	result	NOUN
ejpam-4693	6	3	show	show	VERB
ejpam-4693	6	4	that	that	SCONJ
ejpam-4693	6	5	the	the	DET
ejpam-4693	6	6	ham	ham	NOUN
ejpam-4693	6	7	is	be	AUX
ejpam-4693	6	8	a	a	DET
ejpam-4693	6	9	very	very	ADV
ejpam-4693	6	10	effective	effective	ADJ
ejpam-4693	6	11	method	method	NOUN
ejpam-4693	6	12	as	as	ADV
ejpam-4693	6	13	well	well	ADV
ejpam-4693	6	14	.	.	PUNCT
ejpam-4693	7	1	the	the	DET
ejpam-4693	7	2	results	result	NOUN
ejpam-4693	7	3	were	be	AUX
ejpam-4693	7	4	compared	compare	VERB
ejpam-4693	7	5	with	with	ADP
ejpam-4693	7	6	the	the	DET
ejpam-4693	7	7	solutions	solution	NOUN
ejpam-4693	7	8	obtained	obtain	VERB
ejpam-4693	7	9	by	by	ADP
ejpam-4693	7	10	developing	develop	VERB
ejpam-4693	7	11	a	a	DET
ejpam-4693	7	12	homotopy	homotopy	NOUN
ejpam-4693	7	13	analysis	analysis	NOUN
ejpam-4693	7	14	method	method	NOUN
ejpam-4693	7	15	using	use	VERB
ejpam-4693	7	16	the	the	DET
ejpam-4693	7	17	genetic	genetic	ADJ
ejpam-4693	7	18	algorithm	algorithm	NOUN
ejpam-4693	7	19	(	(	PUNCT
ejpam-4693	7	20	ham	ham	PROPN
ejpam-4693	7	21	-	-	PUNCT
ejpam-4693	7	22	ga	ga	NOUN
ejpam-4693	7	23	)	)	PUNCT
ejpam-4693	7	24	,	,	PUNCT
ejpam-4693	7	25	considering	consider	VERB
ejpam-4693	7	26	the	the	DET
ejpam-4693	7	27	residual	residual	ADJ
ejpam-4693	7	28	error	error	NOUN
ejpam-4693	7	29	function	function	NOUN
ejpam-4693	7	30	as	as	ADP
ejpam-4693	7	31	a	a	DET
ejpam-4693	7	32	fitness	fitness	NOUN
ejpam-4693	7	33	function	function	NOUN
ejpam-4693	7	34	of	of	ADP
ejpam-4693	7	35	the	the	DET
ejpam-4693	7	36	genetic	genetic	ADJ
ejpam-4693	7	37	algorithm	algorithm	NOUN
ejpam-4693	7	38	.	.	PUNCT
ejpam-4693	8	1	2020	2020	NUM
ejpam-4693	8	2	mathematics	mathematic	NOUN
ejpam-4693	8	3	subject	subject	NOUN
ejpam-4693	8	4	classifications	classification	NOUN
ejpam-4693	8	5	:	:	PUNCT
ejpam-4693	8	6	45d05	45d05	NUM
ejpam-4693	8	7	,	,	PUNCT
ejpam-4693	8	8	45g15	45g15	NUM
ejpam-4693	8	9	,	,	PUNCT
ejpam-4693	8	10	68w50	68w50	NOUN
ejpam-4693	8	11	key	key	ADJ
ejpam-4693	8	12	words	word	NOUN
ejpam-4693	8	13	and	and	CCONJ
ejpam-4693	8	14	phrases	phrase	NOUN
ejpam-4693	8	15	:	:	PUNCT
ejpam-4693	8	16	system	system	NOUN
ejpam-4693	8	17	of	of	ADP
ejpam-4693	8	18	volterra	volterra	PROPN
ejpam-4693	8	19	integral	integral	ADJ
ejpam-4693	8	20	equations	equation	NOUN
ejpam-4693	8	21	(	(	PUNCT
ejpam-4693	8	22	svies	svie	NOUN
ejpam-4693	8	23	)	)	PUNCT
ejpam-4693	8	24	,	,	PUNCT
ejpam-4693	8	25	homotopy	homotopy	VERB
ejpam-4693	8	26	analysis	analysis	NOUN
ejpam-4693	8	27	method	method	NOUN
ejpam-4693	8	28	(	(	PUNCT
ejpam-4693	8	29	ham	ham	PROPN
ejpam-4693	8	30	)	)	PUNCT
ejpam-4693	8	31	,	,	PUNCT
ejpam-4693	8	32	h	h	NOUN
ejpam-4693	8	33	-	-	PUNCT
ejpam-4693	8	34	curves	curve	NOUN
ejpam-4693	8	35	,	,	PUNCT
ejpam-4693	8	36	genetic	genetic	ADJ
ejpam-4693	8	37	algorithm	algorithm	NOUN
ejpam-4693	8	38	(	(	PUNCT
ejpam-4693	8	39	ga	ga	PROPN
ejpam-4693	8	40	)	)	PUNCT
ejpam-4693	8	41	.	.	PUNCT
ejpam-4693	9	1	1	1	X
ejpam-4693	9	2	.	.	X
ejpam-4693	9	3	introduction	introduction	NOUN
ejpam-4693	9	4	the	the	DET
ejpam-4693	9	5	integral	integral	ADJ
ejpam-4693	9	6	equations	equation	NOUN
ejpam-4693	9	7	can	can	AUX
ejpam-4693	9	8	be	be	AUX
ejpam-4693	9	9	used	use	VERB
ejpam-4693	9	10	to	to	PART
ejpam-4693	9	11	describe	describe	VERB
ejpam-4693	9	12	a	a	DET
ejpam-4693	9	13	wide	wide	ADJ
ejpam-4693	9	14	variety	variety	NOUN
ejpam-4693	9	15	of	of	ADP
ejpam-4693	9	16	problems	problem	NOUN
ejpam-4693	9	17	in	in	ADP
ejpam-4693	9	18	science	science	NOUN
ejpam-4693	9	19	and	and	CCONJ
ejpam-4693	9	20	engineering	engineering	NOUN
ejpam-4693	9	21	,	,	PUNCT
ejpam-4693	9	22	such	such	ADJ
ejpam-4693	9	23	as	as	ADP
ejpam-4693	9	24	the	the	DET
ejpam-4693	9	25	population	population	NOUN
ejpam-4693	9	26	dynamics	dynamic	NOUN
ejpam-4693	9	27	,	,	PUNCT
ejpam-4693	9	28	the	the	DET
ejpam-4693	9	29	spread	spread	NOUN
ejpam-4693	9	30	of	of	ADP
ejpam-4693	9	31	diseases	disease	NOUN
ejpam-4693	9	32	,	,	PUNCT
ejpam-4693	9	33	some	some	DET
ejpam-4693	9	34	dirichlet	dirichlet	PROPN
ejpam-4693	9	35	problems	problem	NOUN
ejpam-4693	9	36	in	in	ADP
ejpam-4693	9	37	potential	potential	ADJ
ejpam-4693	9	38	theory	theory	NOUN
ejpam-4693	9	39	,	,	PUNCT
ejpam-4693	9	40	electrostatics	electrostatic	NOUN
ejpam-4693	9	41	,	,	PUNCT
ejpam-4693	9	42	mathematical	mathematical	ADJ
ejpam-4693	9	43	modeling	modeling	NOUN
ejpam-4693	9	44	of	of	ADP
ejpam-4693	9	45	radioactive	radioactive	ADJ
ejpam-4693	9	46	equilibrium	equilibrium	NOUN
ejpam-4693	9	47	,	,	PUNCT
ejpam-4693	9	48	particle	particle	NOUN
ejpam-4693	9	49	transport	transport	NOUN
ejpam-4693	9	50	problems	problem	NOUN
ejpam-4693	9	51	of	of	ADP
ejpam-4693	9	52	astrophysics	astrophysic	NOUN
ejpam-4693	9	53	and	and	CCONJ
ejpam-4693	9	54	reactor	reactor	NOUN
ejpam-4693	9	55	theory	theory	NOUN
ejpam-4693	9	56	,	,	PUNCT
ejpam-4693	9	57	radiative	radiative	ADJ
ejpam-4693	9	58	energy	energy	NOUN
ejpam-4693	9	59	and/or	and/or	CCONJ
ejpam-4693	9	60	heat	heat	NOUN
ejpam-4693	9	61	transfer	transfer	NOUN
ejpam-4693	9	62	problems	problem	NOUN
ejpam-4693	9	63	,	,	PUNCT
ejpam-4693	9	64	other	other	ADJ
ejpam-4693	9	65	general	general	ADJ
ejpam-4693	9	66	heat	heat	NOUN
ejpam-4693	9	67	transfer	transfer	NOUN
ejpam-4693	9	68	problems	problem	NOUN
ejpam-4693	9	69	,	,	PUNCT
ejpam-4693	9	70	oscillation	oscillation	NOUN
ejpam-4693	9	71	of	of	ADP
ejpam-4693	9	72	strings	string	NOUN
ejpam-4693	9	73	and	and	CCONJ
ejpam-4693	9	74	membranes	membrane	NOUN
ejpam-4693	9	75	,	,	PUNCT
ejpam-4693	9	76	the	the	DET
ejpam-4693	9	77	problem	problem	NOUN
ejpam-4693	9	78	of	of	ADP
ejpam-4693	9	79	momentum	momentum	NOUN
ejpam-4693	9	80	representation	representation	NOUN
ejpam-4693	9	81	in	in	ADP
ejpam-4693	9	82	quantum	quantum	ADJ
ejpam-4693	9	83	mechanics	mechanic	NOUN
ejpam-4693	9	84	,	,	PUNCT
ejpam-4693	9	85	etc	etc	X
ejpam-4693	9	86	.	.	X
ejpam-4693	10	1	however	however	ADV
ejpam-4693	10	2	,	,	PUNCT
ejpam-4693	10	3	various	various	ADJ
ejpam-4693	10	4	additional	additional	ADJ
ejpam-4693	10	5	challenging	challenging	ADJ
ejpam-4693	10	6	problems	problem	NOUN
ejpam-4693	10	7	in	in	ADP
ejpam-4693	10	8	mechanics	mechanic	NOUN
ejpam-4693	10	9	,	,	PUNCT
ejpam-4693	10	10	astrophysics	astrophysic	NOUN
ejpam-4693	10	11	,	,	PUNCT
ejpam-4693	10	12	chemistry	chemistry	NOUN
ejpam-4693	10	13	,	,	PUNCT
ejpam-4693	10	14	and	and	CCONJ
ejpam-4693	10	15	mathematics	mathematic	NOUN
ejpam-4693	10	16	can	can	AUX
ejpam-4693	10	17	also	also	ADV
ejpam-4693	10	18	be	be	AUX
ejpam-4693	10	19	represented	represent	VERB
ejpam-4693	10	20	in	in	ADP
ejpam-4693	10	21	terms	term	NOUN
ejpam-4693	10	22	of	of	ADP
ejpam-4693	10	23	volterra	volterra	PROPN
ejpam-4693	10	24	integral	integral	ADJ
ejpam-4693	10	25	equations	equation	NOUN
ejpam-4693	10	26	.	.	PUNCT
ejpam-4693	11	1	in	in	ADP
ejpam-4693	11	2	∗corresponding	∗corresponde	VERB
ejpam-4693	11	3	author	author	NOUN
ejpam-4693	11	4	.	.	PUNCT
ejpam-4693	12	1	doi	doi	NOUN
ejpam-4693	12	2	:	:	PUNCT
ejpam-4693	12	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4693	https://doi.org/10.29020/nybg.ejpam.v16i2.4693	PROPN
ejpam-4693	12	4	email	email	NOUN
ejpam-4693	12	5	addresses	address	NOUN
ejpam-4693	12	6	:	:	PUNCT
ejpam-4693	12	7	rasha.20csp146@student.uomosul.edu.iq	rasha.20csp146@student.uomosul.edu.iq	NOUN
ejpam-4693	12	8	(	(	PUNCT
ejpam-4693	12	9	rasha	rasha	PROPN
ejpam-4693	12	10	f.	f.	PROPN
ejpam-4693	12	11	ahmed	ahmed	PROPN
ejpam-4693	12	12	)	)	PUNCT
ejpam-4693	12	13	,	,	PUNCT
ejpam-4693	12	14	waleedalhayani@uomosul.edu.iq	waleedalhayani@uomosul.edu.iq	NOUN
ejpam-4693	12	15	(	(	PUNCT
ejpam-4693	12	16	waleed	waleed	PROPN
ejpam-4693	12	17	al	al	PROPN
ejpam-4693	12	18	-	-	PUNCT
ejpam-4693	12	19	hayani	hayani	PROPN
ejpam-4693	12	20	)	)	PUNCT
ejpam-4693	12	21	,	,	PUNCT
ejpam-4693	12	22	profabbasalbayati@yahoo.com	profabbasalbayati@yahoo.com	X
ejpam-4693	12	23	(	(	PUNCT
ejpam-4693	12	24	abbas	abbas	PROPN
ejpam-4693	12	25	y.	y.	PROPN
ejpam-4693	12	26	al	al	PROPN
ejpam-4693	12	27	-	-	PUNCT
ejpam-4693	12	28	bayati	bayati	PROPN
ejpam-4693	12	29	)	)	PUNCT
ejpam-4693	12	30	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4693	12	31	864	864	NUM
ejpam-4693	13	1	©	©	ADP
ejpam-4693	13	2	2023	2023	NUM
ejpam-4693	13	3	ejpam	ejpam	NOUN
ejpam-4693	13	4	all	all	DET
ejpam-4693	13	5	rights	right	NOUN
ejpam-4693	13	6	reserved	reserve	VERB
ejpam-4693	13	7	.	.	PUNCT
ejpam-4693	14	1	rasha	rasha	PROPN
ejpam-4693	14	2	f.	f.	PROPN
ejpam-4693	14	3	ahmed	ahmed	PROPN
ejpam-4693	14	4	,	,	PUNCT
ejpam-4693	14	5	w.	w.	PROPN
ejpam-4693	14	6	al	al	PROPN
ejpam-4693	14	7	-	-	PUNCT
ejpam-4693	14	8	hayani	hayani	PROPN
ejpam-4693	14	9	,	,	PUNCT
ejpam-4693	14	10	a.	a.	PROPN
ejpam-4693	14	11	y.	y.	PROPN
ejpam-4693	14	12	al	al	PROPN
ejpam-4693	14	13	-	-	PUNCT
ejpam-4693	14	14	bayati	bayati	PROPN
ejpam-4693	14	15	/	/	SYM
ejpam-4693	14	16	eur	eur	PROPN
ejpam-4693	14	17	.	.	PUNCT
ejpam-4693	15	1	j.	j.	PROPN
ejpam-4693	15	2	pure	pure	PROPN
ejpam-4693	15	3	appl	appl	PROPN
ejpam-4693	15	4	.	.	PROPN
ejpam-4693	15	5	math	math	PROPN
ejpam-4693	15	6	,	,	PUNCT
ejpam-4693	15	7	16	16	NUM
ejpam-4693	15	8	(	(	PUNCT
ejpam-4693	15	9	2	2	NUM
ejpam-4693	15	10	)	)	PUNCT
ejpam-4693	15	11	(	(	PUNCT
ejpam-4693	15	12	2023	2023	NUM
ejpam-4693	15	13	)	)	PUNCT
ejpam-4693	15	14	,	,	PUNCT
ejpam-4693	15	15	864	864	NUM
ejpam-4693	15	16	-	-	SYM
ejpam-4693	15	17	892	892	NUM
ejpam-4693	15	18	865	865	NUM
ejpam-4693	15	19	addition	addition	NOUN
ejpam-4693	15	20	,	,	PUNCT
ejpam-4693	15	21	there	there	PRON
ejpam-4693	15	22	are	be	VERB
ejpam-4693	15	23	several	several	ADJ
ejpam-4693	15	24	real	real	ADJ
ejpam-4693	15	25	-	-	PUNCT
ejpam-4693	15	26	world	world	NOUN
ejpam-4693	15	27	problems	problem	NOUN
ejpam-4693	15	28	where	where	SCONJ
ejpam-4693	15	29	urges	urge	VERB
ejpam-4693	15	30	naturally	naturally	ADV
ejpam-4693	15	31	develop	develop	VERB
ejpam-4693	15	32	.	.	PUNCT
ejpam-4693	16	1	a	a	DET
ejpam-4693	16	2	differential	differential	ADJ
ejpam-4693	16	3	equation	equation	NOUN
ejpam-4693	16	4	,	,	PUNCT
ejpam-4693	16	5	an	an	DET
ejpam-4693	16	6	integral	integral	ADJ
ejpam-4693	16	7	equation	equation	NOUN
ejpam-4693	16	8	,	,	PUNCT
ejpam-4693	16	9	an	an	DET
ejpam-4693	16	10	integro	integro	ADJ
ejpam-4693	16	11	-	-	PUNCT
ejpam-4693	16	12	differential	differential	NOUN
ejpam-4693	16	13	equation	equation	NOUN
ejpam-4693	16	14	,	,	PUNCT
ejpam-4693	16	15	or	or	CCONJ
ejpam-4693	16	16	a	a	DET
ejpam-4693	16	17	system	system	NOUN
ejpam-4693	16	18	of	of	ADP
ejpam-4693	16	19	these	these	DET
ejpam-4693	16	20	equations	equation	NOUN
ejpam-4693	16	21	together	together	ADV
ejpam-4693	16	22	can	can	AUX
ejpam-4693	16	23	be	be	AUX
ejpam-4693	16	24	used	use	VERB
ejpam-4693	16	25	to	to	PART
ejpam-4693	16	26	describe	describe	VERB
ejpam-4693	16	27	problems	problem	NOUN
ejpam-4693	16	28	that	that	PRON
ejpam-4693	16	29	either	either	CCONJ
ejpam-4693	16	30	arise	arise	VERB
ejpam-4693	16	31	naturally	naturally	ADV
ejpam-4693	16	32	(	(	PUNCT
ejpam-4693	16	33	as	as	ADP
ejpam-4693	16	34	in	in	ADP
ejpam-4693	16	35	population	population	NOUN
ejpam-4693	16	36	dynamics	dynamic	NOUN
ejpam-4693	16	37	or	or	CCONJ
ejpam-4693	16	38	many	many	ADJ
ejpam-4693	16	39	biological	biological	ADJ
ejpam-4693	16	40	applications	application	NOUN
ejpam-4693	16	41	)	)	PUNCT
ejpam-4693	16	42	or	or	CCONJ
ejpam-4693	16	43	are	be	AUX
ejpam-4693	16	44	brought	bring	VERB
ejpam-4693	16	45	about	about	ADP
ejpam-4693	16	46	by	by	ADP
ejpam-4693	16	47	a	a	DET
ejpam-4693	16	48	control	control	NOUN
ejpam-4693	16	49	system	system	NOUN
ejpam-4693	17	1	[	[	X
ejpam-4693	17	2	9–11	9–11	NOUN
ejpam-4693	17	3	]	]	X
ejpam-4693	17	4	.	.	PUNCT
ejpam-4693	18	1	a	a	DET
ejpam-4693	18	2	numerical	numerical	ADJ
ejpam-4693	18	3	method	method	NOUN
ejpam-4693	18	4	is	be	AUX
ejpam-4693	18	5	frequently	frequently	ADV
ejpam-4693	18	6	required	require	VERB
ejpam-4693	18	7	because	because	SCONJ
ejpam-4693	18	8	systems	system	NOUN
ejpam-4693	18	9	of	of	ADP
ejpam-4693	18	10	integral	integral	ADJ
ejpam-4693	18	11	and/or	and/or	CCONJ
ejpam-4693	18	12	integro	integro	ADJ
ejpam-4693	18	13	-	-	PUNCT
ejpam-4693	18	14	differential	differential	NOUN
ejpam-4693	18	15	equations	equation	NOUN
ejpam-4693	18	16	,	,	PUNCT
ejpam-4693	18	17	particularly	particularly	ADV
ejpam-4693	18	18	nonlinear	nonlinear	ADJ
ejpam-4693	18	19	systems	system	NOUN
ejpam-4693	18	20	of	of	ADP
ejpam-4693	18	21	volterra	volterra	PROPN
ejpam-4693	18	22	integral	integral	ADJ
ejpam-4693	18	23	equations	equation	NOUN
ejpam-4693	18	24	or	or	CCONJ
ejpam-4693	18	25	with	with	ADP
ejpam-4693	18	26	variable	variable	ADJ
ejpam-4693	18	27	coefficients	coefficient	NOUN
ejpam-4693	18	28	,	,	PUNCT
ejpam-4693	18	29	are	be	AUX
ejpam-4693	18	30	typically	typically	ADV
ejpam-4693	18	31	challenging	challenge	VERB
ejpam-4693	18	32	to	to	PART
ejpam-4693	18	33	solve	solve	VERB
ejpam-4693	18	34	analytically	analytically	ADV
ejpam-4693	18	35	.	.	PUNCT
ejpam-4693	19	1	therefore	therefore	ADV
ejpam-4693	19	2	,	,	PUNCT
ejpam-4693	19	3	there	there	PRON
ejpam-4693	19	4	are	be	VERB
ejpam-4693	19	5	many	many	ADJ
ejpam-4693	19	6	research	research	NOUN
ejpam-4693	19	7	papers	paper	NOUN
ejpam-4693	19	8	to	to	PART
ejpam-4693	19	9	solve	solve	VERB
ejpam-4693	19	10	such	such	ADJ
ejpam-4693	19	11	systems	system	NOUN
ejpam-4693	19	12	using	use	VERB
ejpam-4693	19	13	several	several	ADJ
ejpam-4693	19	14	analytical	analytical	ADJ
ejpam-4693	19	15	methods	method	NOUN
ejpam-4693	19	16	(	(	PUNCT
ejpam-4693	19	17	see	see	VERB
ejpam-4693	19	18	[	[	X
ejpam-4693	19	19	4	4	NUM
ejpam-4693	19	20	,	,	PUNCT
ejpam-4693	19	21	5	5	NUM
ejpam-4693	19	22	,	,	PUNCT
ejpam-4693	19	23	7	7	NUM
ejpam-4693	19	24	,	,	PUNCT
ejpam-4693	19	25	15	15	NUM
ejpam-4693	19	26	,	,	PUNCT
ejpam-4693	19	27	29	29	NUM
ejpam-4693	19	28	]	]	PUNCT
ejpam-4693	19	29	)	)	PUNCT
ejpam-4693	19	30	,	,	PUNCT
ejpam-4693	19	31	etc	etc	X
ejpam-4693	19	32	.	.	X
ejpam-4693	20	1	many	many	ADJ
ejpam-4693	20	2	researchers	researcher	NOUN
ejpam-4693	20	3	[	[	X
ejpam-4693	20	4	3	3	NUM
ejpam-4693	20	5	,	,	PUNCT
ejpam-4693	20	6	36	36	NUM
ejpam-4693	20	7	,	,	PUNCT
ejpam-4693	20	8	37	37	NUM
ejpam-4693	20	9	]	]	PUNCT
ejpam-4693	20	10	have	have	AUX
ejpam-4693	20	11	tried	try	VERB
ejpam-4693	20	12	to	to	PART
ejpam-4693	20	13	solve	solve	VERB
ejpam-4693	20	14	the	the	DET
ejpam-4693	20	15	volterra	volterra	NOUN
ejpam-4693	20	16	integral	integral	ADJ
ejpam-4693	20	17	equation	equation	NOUN
ejpam-4693	20	18	using	use	VERB
ejpam-4693	20	19	different	different	ADJ
ejpam-4693	20	20	analytical	analytical	ADJ
ejpam-4693	20	21	and	and	CCONJ
ejpam-4693	20	22	numerical	numerical	ADJ
ejpam-4693	20	23	methods	method	NOUN
ejpam-4693	20	24	.	.	PUNCT
ejpam-4693	21	1	recently	recently	ADV
ejpam-4693	21	2	,	,	PUNCT
ejpam-4693	21	3	younis	younis	PROPN
ejpam-4693	21	4	and	and	CCONJ
ejpam-4693	21	5	al	al	PROPN
ejpam-4693	21	6	-	-	PUNCT
ejpam-4693	21	7	hayani	hayani	PROPN
ejpam-4693	22	1	[	[	X
ejpam-4693	22	2	50	50	NUM
ejpam-4693	22	3	]	]	PUNCT
ejpam-4693	22	4	have	have	AUX
ejpam-4693	22	5	been	be	AUX
ejpam-4693	22	6	used	use	VERB
ejpam-4693	22	7	adomian	adomian	NOUN
ejpam-4693	22	8	decomposition	decomposition	NOUN
ejpam-4693	22	9	method	method	NOUN
ejpam-4693	22	10	(	(	PUNCT
ejpam-4693	22	11	adm	adm	PROPN
ejpam-4693	22	12	)	)	PUNCT
ejpam-4693	22	13	for	for	ADP
ejpam-4693	22	14	solving	solve	VERB
ejpam-4693	22	15	fuzzy	fuzzy	ADJ
ejpam-4693	22	16	system	system	NOUN
ejpam-4693	22	17	of	of	ADP
ejpam-4693	22	18	volterra	volterra	PROPN
ejpam-4693	22	19	integro	integro	PROPN
ejpam-4693	22	20	-	-	PUNCT
ejpam-4693	22	21	differential	differential	NOUN
ejpam-4693	22	22	equations	equation	NOUN
ejpam-4693	22	23	.	.	PUNCT
ejpam-4693	23	1	the	the	DET
ejpam-4693	23	2	researchers	researcher	NOUN
ejpam-4693	23	3	[	[	X
ejpam-4693	23	4	39	39	NUM
ejpam-4693	23	5	,	,	PUNCT
ejpam-4693	23	6	40	40	NUM
ejpam-4693	23	7	,	,	PUNCT
ejpam-4693	23	8	46	46	NUM
ejpam-4693	23	9	–	–	SYM
ejpam-4693	23	10	49	49	NUM
ejpam-4693	23	11	]	]	PUNCT
ejpam-4693	23	12	have	have	AUX
ejpam-4693	23	13	been	be	AUX
ejpam-4693	23	14	applied	apply	VERB
ejpam-4693	23	15	different	different	ADJ
ejpam-4693	23	16	analytical	analytical	ADJ
ejpam-4693	23	17	methods	method	NOUN
ejpam-4693	23	18	such	such	ADJ
ejpam-4693	23	19	as	as	ADP
ejpam-4693	23	20	optimal	optimal	ADJ
ejpam-4693	23	21	homotopy	homotopy	NOUN
ejpam-4693	23	22	asymptotic	asymptotic	ADJ
ejpam-4693	23	23	method	method	NOUN
ejpam-4693	23	24	(	(	PUNCT
ejpam-4693	23	25	oham	oham	NOUN
ejpam-4693	23	26	)	)	PUNCT
ejpam-4693	23	27	,	,	PUNCT
ejpam-4693	23	28	homotopy	homotopy	VERB
ejpam-4693	23	29	perturbation	perturbation	NOUN
ejpam-4693	23	30	method	method	NOUN
ejpam-4693	23	31	(	(	PUNCT
ejpam-4693	23	32	hpm	hpm	NOUN
ejpam-4693	23	33	)	)	PUNCT
ejpam-4693	23	34	and	and	CCONJ
ejpam-4693	23	35	padé	padé	ADJ
ejpam-4693	23	36	approximation	approximation	NOUN
ejpam-4693	23	37	technique	technique	NOUN
ejpam-4693	23	38	to	to	PART
ejpam-4693	23	39	solve	solve	VERB
ejpam-4693	23	40	the	the	DET
ejpam-4693	23	41	mathematical	mathematical	ADJ
ejpam-4693	23	42	models	model	NOUN
ejpam-4693	23	43	as	as	ADP
ejpam-4693	23	44	(	(	PUNCT
ejpam-4693	23	45	porous	porous	ADJ
ejpam-4693	23	46	rotating	rotating	NOUN
ejpam-4693	23	47	disk	disk	NOUN
ejpam-4693	23	48	electrodes	electrode	NOUN
ejpam-4693	23	49	,	,	PUNCT
ejpam-4693	23	50	ece	ece	PROPN
ejpam-4693	23	51	reactions	reaction	NOUN
ejpam-4693	23	52	at	at	ADP
ejpam-4693	23	53	rotating	rotate	VERB
ejpam-4693	23	54	disk	disk	NOUN
ejpam-4693	23	55	electrodes	electrode	NOUN
ejpam-4693	23	56	,	,	PUNCT
ejpam-4693	23	57	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4693	23	58	,	,	PUNCT
ejpam-4693	23	59	etc	etc	X
ejpam-4693	23	60	.	.	X
ejpam-4693	23	61	)	)	PUNCT
ejpam-4693	23	62	.	.	PUNCT
ejpam-4693	24	1	so	so	ADV
ejpam-4693	24	2	,	,	PUNCT
ejpam-4693	24	3	in	in	ADP
ejpam-4693	24	4	this	this	DET
ejpam-4693	24	5	paper	paper	NOUN
ejpam-4693	24	6	,	,	PUNCT
ejpam-4693	24	7	we	we	PRON
ejpam-4693	24	8	consider	consider	VERB
ejpam-4693	24	9	the	the	DET
ejpam-4693	24	10	nonlinear	nonlinear	ADJ
ejpam-4693	24	11	system	system	NOUN
ejpam-4693	24	12	of	of	ADP
ejpam-4693	24	13	volterra	volterra	PROPN
ejpam-4693	24	14	integral	integral	ADJ
ejpam-4693	24	15	equations	equation	NOUN
ejpam-4693	24	16	(	(	PUNCT
ejpam-4693	24	17	nlsvies	nlsvie	NOUN
ejpam-4693	24	18	)	)	PUNCT
ejpam-4693	25	1	[	[	X
ejpam-4693	25	2	2	2	NUM
ejpam-4693	25	3	]	]	PUNCT
ejpam-4693	25	4	:	:	PUNCT
ejpam-4693	25	5	u	u	NOUN
ejpam-4693	25	6	(	(	PUNCT
ejpam-4693	25	7	x	x	NOUN
ejpam-4693	25	8	)	)	PUNCT
ejpam-4693	25	9	=	=	SYM
ejpam-4693	25	10	f	f	PROPN
ejpam-4693	25	11	(	(	PUNCT
ejpam-4693	25	12	x	x	X
ejpam-4693	25	13	)	)	PUNCT
ejpam-4693	25	14	+	+	NUM
ejpam-4693	25	15	∫	∫	PROPN
ejpam-4693	25	16	g(x	g(x	NOUN
ejpam-4693	25	17	)	)	PUNCT
ejpam-4693	25	18	f(x	f(x	PROPN
ejpam-4693	25	19	)	)	PUNCT
ejpam-4693	26	1	k	k	NOUN
ejpam-4693	26	2	(	(	PUNCT
ejpam-4693	26	3	x	x	NOUN
ejpam-4693	26	4	,	,	PUNCT
ejpam-4693	26	5	t)r	t)r	X
ejpam-4693	27	1	[	[	X
ejpam-4693	27	2	u	u	X
ejpam-4693	27	3	(	(	PUNCT
ejpam-4693	27	4	t	t	PROPN
ejpam-4693	27	5	)	)	PUNCT
ejpam-4693	27	6	]	]	PUNCT
ejpam-4693	28	1	dt	dt	X
ejpam-4693	28	2	,	,	PUNCT
ejpam-4693	28	3	(	(	PUNCT
ejpam-4693	28	4	1	1	X
ejpam-4693	28	5	)	)	PUNCT
ejpam-4693	29	1	where	where	SCONJ
ejpam-4693	29	2	u	u	NOUN
ejpam-4693	29	3	(	(	PUNCT
ejpam-4693	29	4	x	x	NOUN
ejpam-4693	29	5	)	)	PUNCT
ejpam-4693	29	6	=	=	NOUN
ejpam-4693	30	1	[	[	X
ejpam-4693	30	2	u1	u1	X
ejpam-4693	30	3	(	(	PUNCT
ejpam-4693	30	4	x	x	NOUN
ejpam-4693	30	5	)	)	PUNCT
ejpam-4693	30	6	,	,	PUNCT
ejpam-4693	30	7	u2	u2	PROPN
ejpam-4693	30	8	(	(	PUNCT
ejpam-4693	30	9	x	x	NOUN
ejpam-4693	30	10	)	)	PUNCT
ejpam-4693	30	11	,	,	PUNCT
ejpam-4693	30	12	·	·	PUNCT
ejpam-4693	30	13	·	·	PUNCT
ejpam-4693	30	14	·	·	PUNCT
ejpam-4693	30	15	,	,	PUNCT
ejpam-4693	30	16	un	un	PROPN
ejpam-4693	30	17	(	(	PUNCT
ejpam-4693	30	18	x)]t	x)]t	INTJ
ejpam-4693	30	19	,	,	PUNCT
ejpam-4693	30	20	f	f	PROPN
ejpam-4693	30	21	(	(	PUNCT
ejpam-4693	30	22	x	x	X
ejpam-4693	30	23	)	)	PUNCT
ejpam-4693	30	24	=	=	NOUN
ejpam-4693	31	1	[	[	X
ejpam-4693	31	2	f1	f1	NOUN
ejpam-4693	31	3	(	(	PUNCT
ejpam-4693	31	4	x	x	NOUN
ejpam-4693	31	5	)	)	PUNCT
ejpam-4693	31	6	,	,	PUNCT
ejpam-4693	31	7	f2	f2	PROPN
ejpam-4693	31	8	(	(	PUNCT
ejpam-4693	31	9	x	x	NOUN
ejpam-4693	31	10	)	)	PUNCT
ejpam-4693	31	11	,	,	PUNCT
ejpam-4693	31	12	·	·	PUNCT
ejpam-4693	31	13	·	·	PUNCT
ejpam-4693	31	14	·	·	PUNCT
ejpam-4693	31	15	,	,	PUNCT
ejpam-4693	31	16	fn	fn	X
ejpam-4693	31	17	(	(	PUNCT
ejpam-4693	31	18	x)]t	x)]t	INTJ
ejpam-4693	31	19	,	,	PUNCT
ejpam-4693	31	20	(	(	PUNCT
ejpam-4693	31	21	2	2	X
ejpam-4693	31	22	)	)	PUNCT
ejpam-4693	31	23	k	k	NOUN
ejpam-4693	31	24	(	(	PUNCT
ejpam-4693	31	25	x	x	PROPN
ejpam-4693	31	26	,	,	PUNCT
ejpam-4693	31	27	t	t	PROPN
ejpam-4693	31	28	)	)	PUNCT
ejpam-4693	31	29	=	=	PUNCT
ejpam-4693	32	1	[	[	X
ejpam-4693	32	2	kij	kij	PROPN
ejpam-4693	32	3	(	(	PUNCT
ejpam-4693	32	4	x	x	PROPN
ejpam-4693	32	5	,	,	PUNCT
ejpam-4693	32	6	t	t	PROPN
ejpam-4693	32	7	)	)	PUNCT
ejpam-4693	32	8	]	]	PUNCT
ejpam-4693	32	9	,	,	PUNCT
ejpam-4693	32	10	i	i	PRON
ejpam-4693	32	11	,	,	PUNCT
ejpam-4693	32	12	j	j	PROPN
ejpam-4693	32	13	=	=	SYM
ejpam-4693	32	14	1	1	NUM
ejpam-4693	32	15	,	,	PUNCT
ejpam-4693	32	16	2	2	NUM
ejpam-4693	32	17	,	,	PUNCT
ejpam-4693	32	18	·	·	PUNCT
ejpam-4693	32	19	·	·	PUNCT
ejpam-4693	32	20	·	·	PUNCT
ejpam-4693	32	21	,	,	PUNCT
ejpam-4693	32	22	n	n	PRON
ejpam-4693	32	23	consider	consider	VERB
ejpam-4693	32	24	the	the	DET
ejpam-4693	32	25	i−	i−	PROPN
ejpam-4693	32	26	th	th	X
ejpam-4693	32	27	equation	equation	NOUN
ejpam-4693	32	28	of	of	ADP
ejpam-4693	32	29	eq	eq	NOUN
ejpam-4693	32	30	1	1	NUM
ejpam-4693	32	31	ui	ui	PROPN
ejpam-4693	32	32	(	(	PUNCT
ejpam-4693	32	33	x	x	NOUN
ejpam-4693	32	34	)	)	PUNCT
ejpam-4693	32	35	=	=	SYM
ejpam-4693	32	36	fi	fi	NOUN
ejpam-4693	32	37	(	(	PUNCT
ejpam-4693	32	38	x	x	X
ejpam-4693	32	39	)	)	PUNCT
ejpam-4693	32	40	+	+	NUM
ejpam-4693	32	41	∫	∫	PROPN
ejpam-4693	32	42	g(x	g(x	ADJ
ejpam-4693	32	43	)	)	PUNCT
ejpam-4693	32	44	f(x	f(x	PROPN
ejpam-4693	32	45	)	)	PUNCT
ejpam-4693	32	46	n∑	n∑	NOUN
ejpam-4693	33	1	j=1	j=1	NOUN
ejpam-4693	34	1	[	[	X
ejpam-4693	34	2	ki	ki	PROPN
ejpam-4693	34	3	,	,	PUNCT
ejpam-4693	34	4	j	j	PROPN
ejpam-4693	34	5	(	(	PUNCT
ejpam-4693	34	6	x	x	NOUN
ejpam-4693	34	7	,	,	PUNCT
ejpam-4693	34	8	t)r	t)r	X
ejpam-4693	34	9	(	(	PUNCT
ejpam-4693	34	10	ui	ui	PROPN
ejpam-4693	34	11	(	(	PUNCT
ejpam-4693	34	12	t	t	PROPN
ejpam-4693	34	13	)	)	PUNCT
ejpam-4693	34	14	)	)	PUNCT
ejpam-4693	34	15	]	]	PUNCT
ejpam-4693	35	1	dt	dt	X
ejpam-4693	35	2	,	,	PUNCT
ejpam-4693	35	3	i	i	PRON
ejpam-4693	35	4	=	=	NOUN
ejpam-4693	35	5	1	1	NUM
ejpam-4693	35	6	,	,	PUNCT
ejpam-4693	35	7	2	2	NUM
ejpam-4693	35	8	,	,	PUNCT
ejpam-4693	35	9	·	·	PUNCT
ejpam-4693	35	10	·	·	PUNCT
ejpam-4693	35	11	·	·	PUNCT
ejpam-4693	35	12	,	,	PUNCT
ejpam-4693	35	13	n	n	X
ejpam-4693	35	14	(	(	PUNCT
ejpam-4693	35	15	3	3	NUM
ejpam-4693	35	16	)	)	PUNCT
ejpam-4693	35	17	where	where	SCONJ
ejpam-4693	35	18	the	the	DET
ejpam-4693	35	19	unknown	unknown	ADJ
ejpam-4693	35	20	functions	function	NOUN
ejpam-4693	35	21	ui	ui	NOUN
ejpam-4693	35	22	(	(	PUNCT
ejpam-4693	35	23	x	x	X
ejpam-4693	35	24	)	)	PUNCT
ejpam-4693	35	25	∈	∈	PROPN
ejpam-4693	35	26	c	c	NOUN
ejpam-4693	36	1	[	[	X
ejpam-4693	36	2	a	a	X
ejpam-4693	36	3	,	,	PUNCT
ejpam-4693	36	4	b	b	NOUN
ejpam-4693	36	5	]	]	PUNCT
ejpam-4693	36	6	,	,	PUNCT
ejpam-4693	36	7	x	x	PUNCT
ejpam-4693	36	8	∈	∈	PROPN
ejpam-4693	37	1	[	[	X
ejpam-4693	37	2	a	a	X
ejpam-4693	37	3	,	,	PUNCT
ejpam-4693	37	4	b	b	NOUN
ejpam-4693	37	5	]	]	X
ejpam-4693	37	6	,	,	PUNCT
ejpam-4693	37	7	the	the	DET
ejpam-4693	37	8	functions	function	NOUN
ejpam-4693	37	9	fi	fi	NOUN
ejpam-4693	37	10	(	(	PUNCT
ejpam-4693	37	11	x	x	NOUN
ejpam-4693	37	12	)	)	PUNCT
ejpam-4693	37	13	∈	∈	PROPN
ejpam-4693	37	14	c	c	NOUN
ejpam-4693	38	1	[	[	X
ejpam-4693	38	2	a	a	X
ejpam-4693	38	3	,	,	PUNCT
ejpam-4693	38	4	b	b	NOUN
ejpam-4693	38	5	]	]	PUNCT
ejpam-4693	38	6	,	,	PUNCT
ejpam-4693	38	7	f	f	AUX
ejpam-4693	38	8	,	,	PUNCT
ejpam-4693	38	9	g	g	PROPN
ejpam-4693	38	10	∈	∈	PROPN
ejpam-4693	38	11	c	c	PUNCT
ejpam-4693	39	1	[	[	X
ejpam-4693	39	2	a	a	X
ejpam-4693	39	3	,	,	PUNCT
ejpam-4693	39	4	b	b	NOUN
ejpam-4693	39	5	]	]	X
ejpam-4693	39	6	,	,	PUNCT
ejpam-4693	39	7	a	a	DET
ejpam-4693	39	8	≤	≤	ADJ
ejpam-4693	39	9	f	f	X
ejpam-4693	39	10	(	(	PUNCT
ejpam-4693	39	11	x	x	NOUN
ejpam-4693	39	12	)	)	PUNCT
ejpam-4693	39	13	≤	≤	NOUN
ejpam-4693	39	14	g	g	PROPN
ejpam-4693	39	15	(	(	PUNCT
ejpam-4693	39	16	x	x	NOUN
ejpam-4693	39	17	)	)	PUNCT
ejpam-4693	39	18	≤	≤	NOUN
ejpam-4693	39	19	b.	b.	NOUN
ejpam-4693	39	20	the	the	DET
ejpam-4693	39	21	non	non	ADJ
ejpam-4693	39	22	-	-	ADJ
ejpam-4693	39	23	negative	negative	ADJ
ejpam-4693	39	24	kernel	kernel	NOUN
ejpam-4693	39	25	functions	function	NOUN
ejpam-4693	39	26	ki	ki	PROPN
ejpam-4693	39	27	,	,	PUNCT
ejpam-4693	39	28	j	j	PROPN
ejpam-4693	39	29	(	(	PUNCT
ejpam-4693	39	30	x	x	PROPN
ejpam-4693	39	31	,	,	PUNCT
ejpam-4693	39	32	t	t	PROPN
ejpam-4693	39	33	)	)	PUNCT
ejpam-4693	39	34	∈	∈	PROPN
ejpam-4693	39	35	c	c	NOUN
ejpam-4693	40	1	[	[	X
ejpam-4693	40	2	a	a	X
ejpam-4693	40	3	,	,	PUNCT
ejpam-4693	40	4	b	b	NOUN
ejpam-4693	40	5	]	]	X
ejpam-4693	40	6	×	×	NOUN
ejpam-4693	40	7	c	c	NOUN
ejpam-4693	41	1	[	[	X
ejpam-4693	41	2	a	a	X
ejpam-4693	41	3	,	,	PUNCT
ejpam-4693	41	4	b	b	NOUN
ejpam-4693	41	5	]	]	PUNCT
ejpam-4693	41	6	,	,	PUNCT
ejpam-4693	41	7	i	i	PRON
ejpam-4693	41	8	=	=	NOUN
ejpam-4693	41	9	1	1	NUM
ejpam-4693	41	10	,	,	PUNCT
ejpam-4693	41	11	2	2	NUM
ejpam-4693	41	12	,	,	PUNCT
ejpam-4693	41	13	·	·	PUNCT
ejpam-4693	41	14	·	·	PUNCT
ejpam-4693	41	15	·	·	PUNCT
ejpam-4693	41	16	,	,	PUNCT
ejpam-4693	41	17	n	n	NOUN
ejpam-4693	41	18	and	and	CCONJ
ejpam-4693	41	19	r	r	NOUN
ejpam-4693	41	20	:	:	PUNCT
ejpam-4693	41	21	c	c	X
ejpam-4693	42	1	[	[	X
ejpam-4693	42	2	a	a	X
ejpam-4693	42	3	,	,	PUNCT
ejpam-4693	42	4	b	b	NOUN
ejpam-4693	42	5	]	]	PUNCT
ejpam-4693	42	6	→	→	SYM
ejpam-4693	42	7	c	c	X
ejpam-4693	43	1	[	[	X
ejpam-4693	43	2	a	a	X
ejpam-4693	43	3	,	,	PUNCT
ejpam-4693	43	4	b	b	NOUN
ejpam-4693	43	5	]	]	X
ejpam-4693	43	6	,	,	PUNCT
ejpam-4693	43	7	are	be	AUX
ejpam-4693	43	8	nonlinear	nonlinear	ADJ
ejpam-4693	43	9	operator	operator	NOUN
ejpam-4693	43	10	.	.	PUNCT
ejpam-4693	44	1	therefore	therefore	ADV
ejpam-4693	44	2	,	,	PUNCT
ejpam-4693	44	3	r	r	X
ejpam-4693	44	4	,	,	PUNCT
ejpam-4693	44	5	the	the	DET
ejpam-4693	44	6	operator	operator	NOUN
ejpam-4693	44	7	,	,	PUNCT
ejpam-4693	44	8	is	be	AUX
ejpam-4693	44	9	assumed	assume	VERB
ejpam-4693	44	10	to	to	PART
ejpam-4693	44	11	satisfy	satisfy	VERB
ejpam-4693	44	12	the	the	DET
ejpam-4693	44	13	lipschitz	lipschitz	NOUN
ejpam-4693	44	14	condition	condition	NOUN
ejpam-4693	44	15	,	,	PUNCT
ejpam-4693	44	16	∥	∥	NUM
ejpam-4693	44	17	r(v1	r(v1	NOUN
ejpam-4693	44	18	)	)	PUNCT
ejpam-4693	44	19	−	−	PROPN
ejpam-4693	44	20	r(v2	r(v2	NOUN
ejpam-4693	44	21	)	)	PUNCT
ejpam-4693	44	22	∥≤	∥≤	PROPN
ejpam-4693	44	23	s	s	PART
ejpam-4693	44	24	∥	∥	NOUN
ejpam-4693	44	25	v1	v1	NOUN
ejpam-4693	44	26	−	−	PROPN
ejpam-4693	44	27	v2	v2	NOUN
ejpam-4693	44	28	∥	∥	NOUN
ejpam-4693	44	29	for	for	ADP
ejpam-4693	44	30	every	every	DET
ejpam-4693	44	31	v1	v1	NOUN
ejpam-4693	44	32	,	,	PUNCT
ejpam-4693	45	1	v2	v2	PROPN
ejpam-4693	45	2	∈	∈	PROPN
ejpam-4693	45	3	c	c	NOUN
ejpam-4693	46	1	[	[	X
ejpam-4693	46	2	a	a	X
ejpam-4693	46	3	,	,	PUNCT
ejpam-4693	46	4	b	b	NOUN
ejpam-4693	46	5	]	]	PUNCT
ejpam-4693	46	6	and	and	CCONJ
ejpam-4693	46	7	some	some	PRON
ejpam-4693	46	8	s	s	VERB
ejpam-4693	46	9	>	>	X
ejpam-4693	46	10	0	0	NUM
ejpam-4693	46	11	.	.	PUNCT
ejpam-4693	47	1	as	as	ADP
ejpam-4693	47	2	the	the	DET
ejpam-4693	47	3	norm	norm	NOUN
ejpam-4693	47	4	of	of	ADP
ejpam-4693	47	5	the	the	DET
ejpam-4693	47	6	function	function	NOUN
ejpam-4693	47	7	,	,	PUNCT
ejpam-4693	47	8	we	we	PRON
ejpam-4693	47	9	take	take	VERB
ejpam-4693	47	10	the	the	DET
ejpam-4693	47	11	supremum	supremum	ADJ
ejpam-4693	47	12	norm	norm	NOUN
ejpam-4693	47	13	∥	∥	PUNCT
ejpam-4693	47	14	v	v	ADP
ejpam-4693	47	15	∥=	∥=	ADJ
ejpam-4693	47	16	supx∈ω	supx∈ω	NOUN
ejpam-4693	47	17	|v(x)|	|v(x)|	NOUN
ejpam-4693	47	18	,	,	PUNCT
ejpam-4693	47	19	in	in	ADP
ejpam-4693	47	20	particular	particular	ADJ
ejpam-4693	47	21	∥	∥	PUNCT
ejpam-4693	47	22	k	k	PROPN
ejpam-4693	47	23	∥=	∥=	ADJ
ejpam-4693	47	24	sup(x	sup(x	PROPN
ejpam-4693	47	25	,	,	PUNCT
ejpam-4693	47	26	t)∈[a	t)∈[a	NOUN
ejpam-4693	47	27	,	,	PUNCT
ejpam-4693	47	28	b]×[a	b]×[a	PROPN
ejpam-4693	47	29	,	,	PUNCT
ejpam-4693	47	30	b	b	NOUN
ejpam-4693	47	31	]	]	X
ejpam-4693	47	32	|k(x	|k(x	PROPN
ejpam-4693	47	33	,	,	PUNCT
ejpam-4693	47	34	t)|	t)|	NOUN
ejpam-4693	47	35	and	and	CCONJ
ejpam-4693	47	36	∥	∥	NUM
ejpam-4693	47	37	f	f	NOUN
ejpam-4693	47	38	∥=	∥=	ADJ
ejpam-4693	47	39	supx∈[a	supx∈[a	NOUN
ejpam-4693	47	40	,	,	PUNCT
ejpam-4693	47	41	b	b	NOUN
ejpam-4693	47	42	]	]	X
ejpam-4693	47	43	|f	|f	PROPN
ejpam-4693	48	1	(	(	PUNCT
ejpam-4693	48	2	x)|	x)|	PROPN
ejpam-4693	48	3	shijun	shijun	PROPN
ejpam-4693	48	4	liao	liao	PROPN
ejpam-4693	48	5	invented	invent	VERB
ejpam-4693	48	6	the	the	DET
ejpam-4693	48	7	ham	ham	NOUN
ejpam-4693	48	8	[	[	X
ejpam-4693	48	9	24–27	24–27	NUM
ejpam-4693	48	10	,	,	PUNCT
ejpam-4693	48	11	41	41	NUM
ejpam-4693	48	12	]	]	PUNCT
ejpam-4693	48	13	by	by	ADP
ejpam-4693	48	14	which	which	PRON
ejpam-4693	48	15	many	many	ADJ
ejpam-4693	48	16	types	type	NOUN
ejpam-4693	48	17	of	of	ADP
ejpam-4693	48	18	equations	equation	NOUN
ejpam-4693	48	19	can	can	AUX
ejpam-4693	48	20	be	be	AUX
ejpam-4693	48	21	resolved	resolve	VERB
ejpam-4693	48	22	[	[	PUNCT
ejpam-4693	48	23	24	24	NUM
ejpam-4693	48	24	]	]	PUNCT
ejpam-4693	48	25	.	.	PUNCT
ejpam-4693	49	1	the	the	DET
ejpam-4693	49	2	method	method	NOUN
ejpam-4693	49	3	by	by	ADP
ejpam-4693	49	4	shijun	shijun	PROPN
ejpam-4693	49	5	liao	liao	PROPN
ejpam-4693	49	6	is	be	AUX
ejpam-4693	49	7	mainly	mainly	ADV
ejpam-4693	49	8	derived	derive	VERB
ejpam-4693	49	9	from	from	ADP
ejpam-4693	49	10	topology	topology	NOUN
ejpam-4693	49	11	,	,	PUNCT
ejpam-4693	49	12	and	and	CCONJ
ejpam-4693	49	13	can	can	AUX
ejpam-4693	49	14	approach	approach	VERB
ejpam-4693	49	15	to	to	ADP
ejpam-4693	49	16	the	the	DET
ejpam-4693	49	17	exact	exact	ADJ
ejpam-4693	49	18	solution	solution	NOUN
ejpam-4693	49	19	.	.	PUNCT
ejpam-4693	50	1	some	some	DET
ejpam-4693	50	2	examples	example	NOUN
ejpam-4693	50	3	of	of	ADP
ejpam-4693	50	4	using	use	VERB
ejpam-4693	50	5	this	this	DET
ejpam-4693	50	6	method	method	NOUN
ejpam-4693	50	7	for	for	ADP
ejpam-4693	50	8	solving	solve	VERB
ejpam-4693	50	9	integral	integral	ADJ
ejpam-4693	50	10	equations	equation	NOUN
ejpam-4693	50	11	well	well	ADV
ejpam-4693	50	12	discussed	discuss	VERB
ejpam-4693	50	13	[	[	X
ejpam-4693	50	14	17–19	17–19	NUM
ejpam-4693	50	15	]	]	PUNCT
ejpam-4693	50	16	.	.	PUNCT
ejpam-4693	51	1	however	however	ADV
ejpam-4693	51	2	,	,	PUNCT
ejpam-4693	51	3	the	the	DET
ejpam-4693	51	4	researcher	researcher	NOUN
ejpam-4693	51	5	was	be	AUX
ejpam-4693	51	6	able	able	ADJ
ejpam-4693	51	7	to	to	PART
ejpam-4693	51	8	prove	prove	VERB
ejpam-4693	51	9	the	the	DET
ejpam-4693	51	10	convergence	convergence	NOUN
ejpam-4693	51	11	of	of	ADP
ejpam-4693	51	12	ham	ham	NOUN
ejpam-4693	52	1	[	[	X
ejpam-4693	52	2	31	31	NUM
ejpam-4693	52	3	]	]	PUNCT
ejpam-4693	52	4	.	.	PUNCT
ejpam-4693	53	1	this	this	DET
ejpam-4693	53	2	method	method	NOUN
ejpam-4693	53	3	has	have	AUX
ejpam-4693	53	4	been	be	AUX
ejpam-4693	53	5	successfully	successfully	ADV
ejpam-4693	53	6	applied	apply	VERB
ejpam-4693	53	7	to	to	PART
ejpam-4693	53	8	solve	solve	VERB
ejpam-4693	53	9	many	many	ADJ
ejpam-4693	53	10	types	type	NOUN
ejpam-4693	53	11	of	of	ADP
ejpam-4693	53	12	rasha	rasha	PROPN
ejpam-4693	53	13	f.	f.	PROPN
ejpam-4693	53	14	ahmed	ahmed	PROPN
ejpam-4693	53	15	,	,	PUNCT
ejpam-4693	53	16	w.	w.	PROPN
ejpam-4693	53	17	al	al	PROPN
ejpam-4693	53	18	-	-	PUNCT
ejpam-4693	53	19	hayani	hayani	PROPN
ejpam-4693	53	20	,	,	PUNCT
ejpam-4693	53	21	a.	a.	PROPN
ejpam-4693	53	22	y.	y.	PROPN
ejpam-4693	53	23	al	al	PROPN
ejpam-4693	53	24	-	-	PUNCT
ejpam-4693	53	25	bayati	bayati	PROPN
ejpam-4693	53	26	/	/	SYM
ejpam-4693	53	27	eur	eur	PROPN
ejpam-4693	53	28	.	.	PUNCT
ejpam-4693	54	1	j.	j.	PROPN
ejpam-4693	54	2	pure	pure	PROPN
ejpam-4693	54	3	appl	appl	PROPN
ejpam-4693	54	4	.	.	PROPN
ejpam-4693	54	5	math	math	PROPN
ejpam-4693	54	6	,	,	PUNCT
ejpam-4693	54	7	16	16	NUM
ejpam-4693	54	8	(	(	PUNCT
ejpam-4693	54	9	2	2	NUM
ejpam-4693	54	10	)	)	PUNCT
ejpam-4693	54	11	(	(	PUNCT
ejpam-4693	54	12	2023	2023	NUM
ejpam-4693	54	13	)	)	PUNCT
ejpam-4693	54	14	,	,	PUNCT
ejpam-4693	54	15	864	864	NUM
ejpam-4693	54	16	-	-	SYM
ejpam-4693	54	17	892	892	NUM
ejpam-4693	54	18	866	866	NUM
ejpam-4693	54	19	linear	linear	ADJ
ejpam-4693	54	20	and	and	CCONJ
ejpam-4693	54	21	nonlinear	nonlinear	ADJ
ejpam-4693	54	22	problems	problem	NOUN
ejpam-4693	54	23	[	[	X
ejpam-4693	54	24	1	1	NUM
ejpam-4693	54	25	,	,	PUNCT
ejpam-4693	54	26	13	13	NUM
ejpam-4693	54	27	,	,	PUNCT
ejpam-4693	54	28	14	14	NUM
ejpam-4693	54	29	,	,	PUNCT
ejpam-4693	54	30	16	16	NUM
ejpam-4693	54	31	,	,	PUNCT
ejpam-4693	54	32	30	30	NUM
ejpam-4693	54	33	,	,	PUNCT
ejpam-4693	54	34	32	32	NUM
ejpam-4693	54	35	,	,	PUNCT
ejpam-4693	54	36	33	33	NUM
ejpam-4693	54	37	,	,	PUNCT
ejpam-4693	54	38	38	38	NUM
ejpam-4693	54	39	,	,	PUNCT
ejpam-4693	54	40	45	45	NUM
ejpam-4693	54	41	]	]	PUNCT
ejpam-4693	54	42	,	,	PUNCT
ejpam-4693	54	43	in	in	ADP
ejpam-4693	54	44	2020	2020	NUM
ejpam-4693	54	45	,	,	PUNCT
ejpam-4693	54	46	researchers	researcher	NOUN
ejpam-4693	54	47	were	be	AUX
ejpam-4693	54	48	able	able	ADJ
ejpam-4693	54	49	to	to	PART
ejpam-4693	54	50	solve	solve	VERB
ejpam-4693	54	51	two	two	NUM
ejpam-4693	54	52	-	-	PUNCT
ejpam-4693	54	53	dimensional	dimensional	ADJ
ejpam-4693	54	54	nonlinear	nonlinear	ADJ
ejpam-4693	54	55	volterra	volterra	NOUN
ejpam-4693	54	56	-	-	PUNCT
ejpam-4693	54	57	fredholm	fredholm	NOUN
ejpam-4693	54	58	fuzzy	fuzzy	ADJ
ejpam-4693	54	59	integral	integral	ADJ
ejpam-4693	54	60	equations	equation	NOUN
ejpam-4693	54	61	by	by	ADP
ejpam-4693	54	62	ham	ham	NOUN
ejpam-4693	55	1	[	[	X
ejpam-4693	55	2	15	15	NUM
ejpam-4693	55	3	]	]	PUNCT
ejpam-4693	55	4	.	.	PUNCT
ejpam-4693	56	1	also	also	ADV
ejpam-4693	56	2	,	,	PUNCT
ejpam-4693	56	3	others	other	NOUN
ejpam-4693	56	4	were	be	AUX
ejpam-4693	56	5	able	able	ADJ
ejpam-4693	56	6	to	to	PART
ejpam-4693	56	7	solve	solve	VERB
ejpam-4693	56	8	mixed	mixed	ADJ
ejpam-4693	56	9	volterra	volterra	NOUN
ejpam-4693	56	10	-	-	PUNCT
ejpam-4693	56	11	fredholm	fredholm	NOUN
ejpam-4693	56	12	integro	integro	ADJ
ejpam-4693	56	13	-	-	PUNCT
ejpam-4693	56	14	differential	differential	NOUN
ejpam-4693	56	15	equations	equation	NOUN
ejpam-4693	56	16	using	use	VERB
ejpam-4693	56	17	same	same	ADJ
ejpam-4693	56	18	method	method	NOUN
ejpam-4693	56	19	[	[	X
ejpam-4693	56	20	16	16	NUM
ejpam-4693	56	21	]	]	PUNCT
ejpam-4693	56	22	.	.	PUNCT
ejpam-4693	57	1	in	in	ADP
ejpam-4693	57	2	the	the	DET
ejpam-4693	57	3	last	last	ADJ
ejpam-4693	57	4	years	year	NOUN
ejpam-4693	57	5	,	,	PUNCT
ejpam-4693	57	6	the	the	DET
ejpam-4693	57	7	researchers	researcher	NOUN
ejpam-4693	57	8	[	[	X
ejpam-4693	57	9	35	35	NUM
ejpam-4693	57	10	,	,	PUNCT
ejpam-4693	57	11	43	43	NUM
ejpam-4693	57	12	]	]	PUNCT
ejpam-4693	57	13	have	have	AUX
ejpam-4693	57	14	been	be	AUX
ejpam-4693	57	15	applied	apply	VERB
ejpam-4693	57	16	the	the	DET
ejpam-4693	57	17	ham	ham	NOUN
ejpam-4693	57	18	to	to	PART
ejpam-4693	57	19	solve	solve	VERB
ejpam-4693	57	20	the	the	DET
ejpam-4693	57	21	mathematical	mathematical	ADJ
ejpam-4693	57	22	models	model	NOUN
ejpam-4693	57	23	as	as	ADP
ejpam-4693	57	24	(	(	PUNCT
ejpam-4693	57	25	porous	porous	ADJ
ejpam-4693	57	26	rotating	rotating	NOUN
ejpam-4693	57	27	disk	disk	NOUN
ejpam-4693	57	28	electrodes	electrode	NOUN
ejpam-4693	57	29	and	and	CCONJ
ejpam-4693	57	30	ece	ece	PROPN
ejpam-4693	57	31	reactions	reaction	NOUN
ejpam-4693	57	32	at	at	ADP
ejpam-4693	57	33	rotating	rotate	VERB
ejpam-4693	57	34	disk	disk	NOUN
ejpam-4693	57	35	electrodes	electrode	NOUN
ejpam-4693	57	36	)	)	PUNCT
ejpam-4693	57	37	.	.	PUNCT
ejpam-4693	58	1	finally	finally	ADV
ejpam-4693	58	2	,	,	PUNCT
ejpam-4693	58	3	liao	liao	PROPN
ejpam-4693	59	1	[	[	X
ejpam-4693	59	2	28	28	NUM
ejpam-4693	59	3	]	]	PUNCT
ejpam-4693	59	4	published	publish	VERB
ejpam-4693	59	5	an	an	DET
ejpam-4693	59	6	explanation	explanation	NOUN
ejpam-4693	59	7	of	of	ADP
ejpam-4693	59	8	how	how	SCONJ
ejpam-4693	59	9	to	to	PART
ejpam-4693	59	10	avoid	avoid	VERB
ejpam-4693	59	11	“	"	PUNCT
ejpam-4693	59	12	small	small	ADJ
ejpam-4693	59	13	denominator	denominator	NOUN
ejpam-4693	59	14	problems	problem	NOUN
ejpam-4693	59	15	”	"	PUNCT
ejpam-4693	59	16	by	by	ADP
ejpam-4693	59	17	the	the	DET
ejpam-4693	59	18	ham	ham	PROPN
ejpam-4693	59	19	.	.	PUNCT
ejpam-4693	60	1	the	the	DET
ejpam-4693	60	2	main	main	ADJ
ejpam-4693	60	3	objective	objective	NOUN
ejpam-4693	60	4	of	of	ADP
ejpam-4693	60	5	the	the	DET
ejpam-4693	60	6	present	present	ADJ
ejpam-4693	60	7	study	study	NOUN
ejpam-4693	60	8	is	be	AUX
ejpam-4693	60	9	to	to	PART
ejpam-4693	60	10	improve	improve	VERB
ejpam-4693	60	11	the	the	DET
ejpam-4693	60	12	results	result	NOUN
ejpam-4693	60	13	obtained	obtain	VERB
ejpam-4693	60	14	from	from	ADP
ejpam-4693	60	15	ham	ham	NOUN
ejpam-4693	60	16	application	application	NOUN
ejpam-4693	60	17	to	to	ADP
ejpam-4693	60	18	the	the	DET
ejpam-4693	60	19	system	system	NOUN
ejpam-4693	60	20	of	of	ADP
ejpam-4693	60	21	volterra	volterra	PROPN
ejpam-4693	60	22	integral	integral	ADJ
ejpam-4693	60	23	equations	equation	NOUN
ejpam-4693	60	24	using	use	VERB
ejpam-4693	60	25	the	the	DET
ejpam-4693	60	26	genetic	genetic	ADJ
ejpam-4693	60	27	algorithm	algorithm	NOUN
ejpam-4693	60	28	by	by	ADP
ejpam-4693	60	29	considering	consider	VERB
ejpam-4693	60	30	the	the	DET
ejpam-4693	60	31	residual	residual	ADJ
ejpam-4693	60	32	error	error	NOUN
ejpam-4693	60	33	function	function	NOUN
ejpam-4693	60	34	as	as	ADP
ejpam-4693	60	35	a	a	DET
ejpam-4693	60	36	fitness	fitness	NOUN
ejpam-4693	60	37	function	function	NOUN
ejpam-4693	60	38	and	and	CCONJ
ejpam-4693	60	39	finding	find	VERB
ejpam-4693	60	40	the	the	DET
ejpam-4693	60	41	best	good	ADJ
ejpam-4693	60	42	values	value	NOUN
ejpam-4693	60	43	for	for	ADP
ejpam-4693	60	44	the	the	DET
ejpam-4693	60	45	constants	constant	NOUN
ejpam-4693	60	46	.	.	PUNCT
ejpam-4693	61	1	in	in	ADP
ejpam-4693	61	2	particular	particular	ADJ
ejpam-4693	61	3	,	,	PUNCT
ejpam-4693	61	4	this	this	DET
ejpam-4693	61	5	study	study	NOUN
ejpam-4693	61	6	demonstrates	demonstrate	VERB
ejpam-4693	61	7	that	that	SCONJ
ejpam-4693	61	8	for	for	ADP
ejpam-4693	61	9	reasonable	reasonable	ADJ
ejpam-4693	61	10	assumptions	assumption	NOUN
ejpam-4693	61	11	,	,	PUNCT
ejpam-4693	61	12	the	the	DET
ejpam-4693	61	13	analyzed	analyze	VERB
ejpam-4693	61	14	equations	equation	NOUN
ejpam-4693	61	15	have	have	VERB
ejpam-4693	61	16	both	both	CCONJ
ejpam-4693	61	17	existent	existent	ADJ
ejpam-4693	61	18	and	and	CCONJ
ejpam-4693	61	19	unique	unique	ADJ
ejpam-4693	61	20	solutions	solution	NOUN
ejpam-4693	61	21	.	.	PUNCT
ejpam-4693	62	1	also	also	ADV
ejpam-4693	62	2	,	,	PUNCT
ejpam-4693	62	3	a	a	DET
ejpam-4693	62	4	comparison	comparison	NOUN
ejpam-4693	62	5	of	of	ADP
ejpam-4693	62	6	the	the	DET
ejpam-4693	62	7	solutions	solution	NOUN
ejpam-4693	62	8	with	with	ADP
ejpam-4693	62	9	that	that	PRON
ejpam-4693	62	10	obtained	obtain	VERB
ejpam-4693	62	11	by	by	ADP
ejpam-4693	62	12	developing	develop	VERB
ejpam-4693	62	13	a	a	DET
ejpam-4693	62	14	ham	ham	NOUN
ejpam-4693	62	15	using	use	VERB
ejpam-4693	62	16	the	the	DET
ejpam-4693	62	17	genetic	genetic	ADJ
ejpam-4693	62	18	algorithm	algorithm	NOUN
ejpam-4693	62	19	was	be	AUX
ejpam-4693	62	20	performed	perform	VERB
ejpam-4693	62	21	considering	consider	VERB
ejpam-4693	62	22	the	the	DET
ejpam-4693	62	23	residual	residual	ADJ
ejpam-4693	62	24	error	error	NOUN
ejpam-4693	62	25	function	function	NOUN
ejpam-4693	62	26	as	as	ADP
ejpam-4693	62	27	a	a	DET
ejpam-4693	62	28	fitness	fitness	NOUN
ejpam-4693	62	29	function	function	NOUN
ejpam-4693	62	30	of	of	ADP
ejpam-4693	62	31	the	the	DET
ejpam-4693	62	32	genetic	genetic	ADJ
ejpam-4693	62	33	algorithm	algorithm	NOUN
ejpam-4693	62	34	,	,	PUNCT
ejpam-4693	62	35	as	as	SCONJ
ejpam-4693	62	36	shown	show	VERB
ejpam-4693	62	37	in	in	ADP
ejpam-4693	62	38	section	section	NOUN
ejpam-4693	62	39	4	4	NUM
ejpam-4693	62	40	and	and	CCONJ
ejpam-4693	62	41	listed	list	VERB
ejpam-4693	62	42	in	in	ADP
ejpam-4693	62	43	several	several	ADJ
ejpam-4693	62	44	examples	example	NOUN
ejpam-4693	62	45	.	.	PUNCT
ejpam-4693	63	1	2	2	X
ejpam-4693	63	2	.	.	X
ejpam-4693	63	3	fundamental	fundamental	ADJ
ejpam-4693	63	4	of	of	ADP
ejpam-4693	63	5	the	the	DET
ejpam-4693	63	6	ham	ham	NOUN
ejpam-4693	63	7	the	the	DET
ejpam-4693	63	8	ham	ham	NOUN
ejpam-4693	63	9	is	be	AUX
ejpam-4693	63	10	applied	apply	VERB
ejpam-4693	63	11	for	for	ADP
ejpam-4693	63	12	solving	solve	VERB
ejpam-4693	63	13	the	the	DET
ejpam-4693	63	14	operator	operator	NOUN
ejpam-4693	63	15	equations	equation	NOUN
ejpam-4693	63	16	n	n	PRON
ejpam-4693	63	17	[	[	X
ejpam-4693	63	18	u	u	X
ejpam-4693	63	19	(	(	PUNCT
ejpam-4693	63	20	x	x	NOUN
ejpam-4693	63	21	)	)	PUNCT
ejpam-4693	63	22	]	]	PUNCT
ejpam-4693	64	1	=	=	PUNCT
ejpam-4693	64	2	0	0	NUM
ejpam-4693	64	3	,	,	PUNCT
ejpam-4693	64	4	x	x	SYM
ejpam-4693	64	5	∈	∈	PROPN
ejpam-4693	64	6	ω	ω	X
ejpam-4693	64	7	(	(	PUNCT
ejpam-4693	64	8	4	4	NUM
ejpam-4693	64	9	)	)	PUNCT
ejpam-4693	64	10	where	where	SCONJ
ejpam-4693	64	11	n	n	PRON
ejpam-4693	64	12	refers	refer	VERB
ejpam-4693	64	13	to	to	ADP
ejpam-4693	64	14	general	general	ADJ
ejpam-4693	64	15	operator	operator	NOUN
ejpam-4693	64	16	(	(	PUNCT
ejpam-4693	64	17	liner	liner	NOUN
ejpam-4693	64	18	or	or	CCONJ
ejpam-4693	64	19	non	non	ADJ
ejpam-4693	64	20	-	-	ADJ
ejpam-4693	64	21	linear	linear	ADJ
ejpam-4693	64	22	)	)	PUNCT
ejpam-4693	64	23	,	,	PUNCT
ejpam-4693	64	24	while	while	SCONJ
ejpam-4693	64	25	u	u	PRON
ejpam-4693	64	26	(	(	PUNCT
ejpam-4693	64	27	x	x	NOUN
ejpam-4693	64	28	)	)	PUNCT
ejpam-4693	64	29	is	be	AUX
ejpam-4693	64	30	an	an	DET
ejpam-4693	64	31	unknown	unknown	ADJ
ejpam-4693	64	32	function	function	NOUN
ejpam-4693	64	33	.	.	PUNCT
ejpam-4693	65	1	first	first	ADV
ejpam-4693	65	2	,	,	PUNCT
ejpam-4693	65	3	we	we	PRON
ejpam-4693	65	4	define	define	VERB
ejpam-4693	65	5	the	the	DET
ejpam-4693	65	6	homotopy	homotopy	NOUN
ejpam-4693	65	7	operator	operator	NOUN
ejpam-4693	65	8	h	h	NOUN
ejpam-4693	65	9	as	as	SCONJ
ejpam-4693	65	10	follows	follow	VERB
ejpam-4693	65	11	:	:	PUNCT
ejpam-4693	66	1	h	h	PROPN
ejpam-4693	66	2	(	(	PUNCT
ejpam-4693	66	3	ϕ	ϕ	NOUN
ejpam-4693	66	4	,	,	PUNCT
ejpam-4693	66	5	q	q	NOUN
ejpam-4693	66	6	)	)	PUNCT
ejpam-4693	66	7	=	=	SYM
ejpam-4693	66	8	(	(	PUNCT
ejpam-4693	66	9	1	1	NUM
ejpam-4693	66	10	−	−	NUM
ejpam-4693	66	11	q)l	q)l	NOUN
ejpam-4693	67	1	[	[	X
ejpam-4693	67	2	ϕ	ϕ	X
ejpam-4693	67	3	(	(	PUNCT
ejpam-4693	67	4	x	x	NOUN
ejpam-4693	67	5	;	;	PUNCT
ejpam-4693	67	6	q	q	X
ejpam-4693	67	7	)	)	PUNCT
ejpam-4693	67	8	−	−	PROPN
ejpam-4693	67	9	u0	u0	ADJ
ejpam-4693	67	10	(	(	PUNCT
ejpam-4693	67	11	x	x	NOUN
ejpam-4693	67	12	)	)	PUNCT
ejpam-4693	67	13	]	]	PUNCT
ejpam-4693	68	1	−	−	ADP
ejpam-4693	68	2	qhn	qhn	NOUN
ejpam-4693	69	1	[	[	X
ejpam-4693	69	2	ϕ	ϕ	X
ejpam-4693	69	3	(	(	PUNCT
ejpam-4693	69	4	x	x	NOUN
ejpam-4693	69	5	;	;	PUNCT
ejpam-4693	69	6	q	q	X
ejpam-4693	69	7	)	)	PUNCT
ejpam-4693	69	8	]	]	PUNCT
ejpam-4693	69	9	,	,	PUNCT
ejpam-4693	69	10	(	(	PUNCT
ejpam-4693	69	11	5	5	X
ejpam-4693	69	12	)	)	PUNCT
ejpam-4693	69	13	where	where	SCONJ
ejpam-4693	69	14	q	q	PROPN
ejpam-4693	69	15	∈	∈	PROPN
ejpam-4693	70	1	[	[	X
ejpam-4693	70	2	0	0	NUM
ejpam-4693	70	3	,	,	PUNCT
ejpam-4693	70	4	1]is	1]is	NUM
ejpam-4693	70	5	an	an	DET
ejpam-4693	70	6	embedding	embed	VERB
ejpam-4693	70	7	parameter	parameter	NOUN
ejpam-4693	70	8	,	,	PUNCT
ejpam-4693	70	9	h	h	PROPN
ejpam-4693	70	10	is	be	AUX
ejpam-4693	70	11	a	a	DET
ejpam-4693	70	12	non	non	ADJ
ejpam-4693	70	13	-	-	ADJ
ejpam-4693	70	14	zero	zero	ADJ
ejpam-4693	70	15	auxiliary	auxiliary	ADJ
ejpam-4693	70	16	function	function	NOUN
ejpam-4693	70	17	(	(	PUNCT
ejpam-4693	70	18	denotes	denote	VERB
ejpam-4693	70	19	the	the	DET
ejpam-4693	70	20	convergence	convergence	NOUN
ejpam-4693	70	21	control	control	NOUN
ejpam-4693	70	22	parameter	parameter	NOUN
ejpam-4693	70	23	[	[	X
ejpam-4693	70	24	23	23	NUM
ejpam-4693	70	25	,	,	PUNCT
ejpam-4693	70	26	26	26	NUM
ejpam-4693	70	27	,	,	PUNCT
ejpam-4693	70	28	27	27	NUM
ejpam-4693	70	29	,	,	PUNCT
ejpam-4693	70	30	44	44	NUM
ejpam-4693	70	31	]	]	PUNCT
ejpam-4693	70	32	)	)	PUNCT
ejpam-4693	70	33	,	,	PUNCT
ejpam-4693	70	34	l	l	NOUN
ejpam-4693	70	35	is	be	AUX
ejpam-4693	70	36	an	an	DET
ejpam-4693	70	37	auxiliary	auxiliary	ADJ
ejpam-4693	70	38	linear	linear	ADJ
ejpam-4693	70	39	operator	operator	NOUN
ejpam-4693	70	40	which	which	PRON
ejpam-4693	70	41	has	have	VERB
ejpam-4693	70	42	the	the	DET
ejpam-4693	70	43	property	property	NOUN
ejpam-4693	70	44	l	l	NOUN
ejpam-4693	70	45	(	(	PUNCT
ejpam-4693	70	46	0	0	NUM
ejpam-4693	70	47	)	)	PUNCT
ejpam-4693	70	48	=	=	SYM
ejpam-4693	70	49	0	0	NUM
ejpam-4693	70	50	,	,	PUNCT
ejpam-4693	70	51	u0	u0	ADJ
ejpam-4693	70	52	(	(	PUNCT
ejpam-4693	70	53	x	x	X
ejpam-4693	70	54	)	)	PUNCT
ejpam-4693	70	55	is	be	AUX
ejpam-4693	70	56	an	an	DET
ejpam-4693	70	57	initial	initial	ADJ
ejpam-4693	70	58	guess	guess	NOUN
ejpam-4693	70	59	of	of	ADP
ejpam-4693	70	60	u	u	NOUN
ejpam-4693	70	61	(	(	PUNCT
ejpam-4693	70	62	x	x	NOUN
ejpam-4693	70	63	)	)	PUNCT
ejpam-4693	70	64	and	and	CCONJ
ejpam-4693	70	65	ϕ	ϕ	X
ejpam-4693	70	66	(	(	PUNCT
ejpam-4693	70	67	x	x	NOUN
ejpam-4693	70	68	;	;	PUNCT
ejpam-4693	70	69	q	q	X
ejpam-4693	70	70	)	)	PUNCT
ejpam-4693	70	71	is	be	AUX
ejpam-4693	70	72	an	an	DET
ejpam-4693	70	73	unknown	unknown	ADJ
ejpam-4693	70	74	function	function	NOUN
ejpam-4693	70	75	.	.	PUNCT
ejpam-4693	71	1	the	the	DET
ejpam-4693	71	2	zero	zero	NUM
ejpam-4693	71	3	-	-	PUNCT
ejpam-4693	71	4	order	order	NOUN
ejpam-4693	71	5	deformation	deformation	NOUN
ejpam-4693	71	6	equation	equation	NOUN
ejpam-4693	71	7	of	of	ADP
ejpam-4693	71	8	the	the	DET
ejpam-4693	71	9	operator	operator	NOUN
ejpam-4693	71	10	h	h	NOUN
ejpam-4693	71	11	(	(	PUNCT
ejpam-4693	71	12	ϕ	ϕ	NOUN
ejpam-4693	71	13	,	,	PUNCT
ejpam-4693	71	14	q	q	NOUN
ejpam-4693	71	15	)	)	PUNCT
ejpam-4693	71	16	=	=	SYM
ejpam-4693	71	17	0	0	NUM
ejpam-4693	71	18	is	be	AUX
ejpam-4693	71	19	considered	consider	VERB
ejpam-4693	71	20	as	as	ADP
ejpam-4693	71	21	follow	follow	VERB
ejpam-4693	71	22	:	:	PUNCT
ejpam-4693	71	23	(	(	PUNCT
ejpam-4693	71	24	1	1	NUM
ejpam-4693	71	25	−	−	NUM
ejpam-4693	71	26	q)l	q)l	NOUN
ejpam-4693	72	1	[	[	X
ejpam-4693	72	2	ϕ	ϕ	X
ejpam-4693	72	3	(	(	PUNCT
ejpam-4693	72	4	x	x	NOUN
ejpam-4693	72	5	;	;	PUNCT
ejpam-4693	72	6	q	q	X
ejpam-4693	72	7	)	)	PUNCT
ejpam-4693	72	8	−	−	PROPN
ejpam-4693	72	9	u0	u0	ADJ
ejpam-4693	72	10	(	(	PUNCT
ejpam-4693	72	11	x	x	NOUN
ejpam-4693	72	12	)	)	PUNCT
ejpam-4693	72	13	]	]	PUNCT
ejpam-4693	72	14	=	=	PUNCT
ejpam-4693	72	15	qhn	qhn	NOUN
ejpam-4693	73	1	[	[	X
ejpam-4693	73	2	ϕ	ϕ	X
ejpam-4693	73	3	(	(	PUNCT
ejpam-4693	73	4	x	x	NOUN
ejpam-4693	73	5	;	;	PUNCT
ejpam-4693	73	6	q	q	X
ejpam-4693	73	7	)	)	PUNCT
ejpam-4693	73	8	]	]	PUNCT
ejpam-4693	73	9	,	,	PUNCT
ejpam-4693	73	10	(	(	PUNCT
ejpam-4693	73	11	6	6	NUM
ejpam-4693	73	12	)	)	PUNCT
ejpam-4693	73	13	obviously	obviously	ADV
ejpam-4693	73	14	,	,	PUNCT
ejpam-4693	73	15	when	when	SCONJ
ejpam-4693	73	16	q=0	q=0	ADV
ejpam-4693	73	17	we	we	PRON
ejpam-4693	73	18	have	have	VERB
ejpam-4693	73	19	l	l	NOUN
ejpam-4693	74	1	[	[	X
ejpam-4693	74	2	ϕ	ϕ	X
ejpam-4693	74	3	(	(	PUNCT
ejpam-4693	74	4	x	x	NOUN
ejpam-4693	74	5	;	;	PUNCT
ejpam-4693	74	6	q	q	X
ejpam-4693	74	7	)	)	PUNCT
ejpam-4693	74	8	−	−	PROPN
ejpam-4693	74	9	u0	u0	ADJ
ejpam-4693	74	10	(	(	PUNCT
ejpam-4693	74	11	x	x	NOUN
ejpam-4693	74	12	)	)	PUNCT
ejpam-4693	74	13	]	]	PUNCT
ejpam-4693	75	1	=	=	PUNCT
ejpam-4693	75	2	0	0	NUM
ejpam-4693	75	3	,	,	PUNCT
ejpam-4693	75	4	that	that	PRON
ejpam-4693	75	5	implies	imply	VERB
ejpam-4693	75	6	ϕ	ϕ	X
ejpam-4693	75	7	(	(	PUNCT
ejpam-4693	75	8	x	x	NOUN
ejpam-4693	75	9	;	;	PUNCT
ejpam-4693	75	10	0	0	NUM
ejpam-4693	75	11	)	)	PUNCT
ejpam-4693	75	12	=	=	PRON
ejpam-4693	75	13	u0	u0	ADJ
ejpam-4693	75	14	(	(	PUNCT
ejpam-4693	75	15	x	x	NOUN
ejpam-4693	75	16	)	)	PUNCT
ejpam-4693	75	17	.	.	PUNCT
ejpam-4693	76	1	while	while	SCONJ
ejpam-4693	76	2	,	,	PUNCT
ejpam-4693	76	3	when	when	SCONJ
ejpam-4693	76	4	q	q	X
ejpam-4693	76	5	=	=	NOUN
ejpam-4693	76	6	1	1	NUM
ejpam-4693	76	7	,	,	PUNCT
ejpam-4693	76	8	we	we	PRON
ejpam-4693	76	9	have	have	VERB
ejpam-4693	76	10	n	n	PRON
ejpam-4693	76	11	[	[	X
ejpam-4693	76	12	ϕ	ϕ	X
ejpam-4693	76	13	(	(	PUNCT
ejpam-4693	76	14	x	x	NOUN
ejpam-4693	76	15	;	;	PUNCT
ejpam-4693	76	16	q	q	X
ejpam-4693	76	17	)	)	PUNCT
ejpam-4693	76	18	]	]	PUNCT
ejpam-4693	77	1	=	=	PUNCT
ejpam-4693	77	2	0	0	PROPN
ejpam-4693	77	3	,	,	PUNCT
ejpam-4693	77	4	which	which	PRON
ejpam-4693	77	5	leads	lead	VERB
ejpam-4693	77	6	to	to	ADP
ejpam-4693	77	7	ϕ	ϕ	PROPN
ejpam-4693	77	8	(	(	PUNCT
ejpam-4693	77	9	x	x	NOUN
ejpam-4693	77	10	;	;	PUNCT
ejpam-4693	77	11	1	1	X
ejpam-4693	77	12	)	)	PUNCT
ejpam-4693	77	13	=	=	SYM
ejpam-4693	77	14	u	u	NOUN
ejpam-4693	77	15	(	(	PUNCT
ejpam-4693	77	16	x	x	NOUN
ejpam-4693	77	17	)	)	PUNCT
ejpam-4693	77	18	,	,	PUNCT
ejpam-4693	77	19	where	where	SCONJ
ejpam-4693	77	20	u	u	PROPN
ejpam-4693	77	21	(	(	PUNCT
ejpam-4693	77	22	x	x	X
ejpam-4693	77	23	)	)	PUNCT
ejpam-4693	77	24	is	be	AUX
ejpam-4693	77	25	the	the	DET
ejpam-4693	77	26	solution	solution	NOUN
ejpam-4693	77	27	of	of	ADP
ejpam-4693	77	28	equation	equation	NOUN
ejpam-4693	77	29	4	4	NUM
ejpam-4693	77	30	.	.	PUNCT
ejpam-4693	78	1	in	in	ADP
ejpam-4693	78	2	this	this	DET
ejpam-4693	78	3	case	case	NOUN
ejpam-4693	78	4	,	,	PUNCT
ejpam-4693	78	5	the	the	DET
ejpam-4693	78	6	variation	variation	NOUN
ejpam-4693	78	7	of	of	ADP
ejpam-4693	78	8	parameter	parameter	NOUN
ejpam-4693	78	9	q	q	PROPN
ejpam-4693	78	10	from	from	ADP
ejpam-4693	78	11	zero	zero	NUM
ejpam-4693	78	12	to	to	ADP
ejpam-4693	78	13	one	one	NUM
ejpam-4693	78	14	coincides	coincide	VERB
ejpam-4693	78	15	with	with	ADP
ejpam-4693	78	16	the	the	DET
ejpam-4693	78	17	variation	variation	NOUN
ejpam-4693	78	18	of	of	ADP
ejpam-4693	78	19	problem	problem	NOUN
ejpam-4693	78	20	from	from	ADP
ejpam-4693	78	21	the	the	DET
ejpam-4693	78	22	initial	initial	ADJ
ejpam-4693	78	23	guess	guess	NOUN
ejpam-4693	78	24	u0	u0	ADJ
ejpam-4693	78	25	(	(	PUNCT
ejpam-4693	78	26	x	x	X
ejpam-4693	78	27	)	)	PUNCT
ejpam-4693	78	28	to	to	ADP
ejpam-4693	78	29	the	the	DET
ejpam-4693	78	30	non	non	ADJ
ejpam-4693	78	31	-	-	ADJ
ejpam-4693	78	32	trivial	trivial	ADJ
ejpam-4693	78	33	solution	solution	NOUN
ejpam-4693	78	34	u	u	NOUN
ejpam-4693	78	35	(	(	PUNCT
ejpam-4693	78	36	x	x	NOUN
ejpam-4693	78	37	)	)	PUNCT
ejpam-4693	78	38	.	.	PUNCT
ejpam-4693	79	1	using	use	VERB
ejpam-4693	79	2	the	the	DET
ejpam-4693	79	3	maclaurin	maclaurin	NOUN
ejpam-4693	79	4	series	series	NOUN
ejpam-4693	79	5	for	for	ADP
ejpam-4693	79	6	expanding	expand	VERB
ejpam-4693	79	7	the	the	DET
ejpam-4693	79	8	function	function	NOUN
ejpam-4693	79	9	ϕ	ϕ	NOUN
ejpam-4693	79	10	(	(	PUNCT
ejpam-4693	79	11	x	x	NOUN
ejpam-4693	79	12	;	;	PUNCT
ejpam-4693	79	13	q	q	X
ejpam-4693	79	14	)	)	PUNCT
ejpam-4693	79	15	with	with	ADP
ejpam-4693	79	16	respect	respect	NOUN
ejpam-4693	79	17	the	the	DET
ejpam-4693	79	18	parameter	parameter	NOUN
ejpam-4693	79	19	q	q	NOUN
ejpam-4693	79	20	,	,	PUNCT
ejpam-4693	79	21	we	we	PRON
ejpam-4693	79	22	get	get	VERB
ejpam-4693	79	23	:	:	PUNCT
ejpam-4693	80	1	ϕ	ϕ	X
ejpam-4693	80	2	(	(	PUNCT
ejpam-4693	80	3	x	x	NOUN
ejpam-4693	80	4	;	;	PUNCT
ejpam-4693	80	5	q	q	X
ejpam-4693	80	6	)	)	PUNCT
ejpam-4693	80	7	=	=	SYM
ejpam-4693	80	8	ϕ	ϕ	X
ejpam-4693	80	9	(	(	PUNCT
ejpam-4693	80	10	x	x	NOUN
ejpam-4693	80	11	;	;	PUNCT
ejpam-4693	80	12	q	q	X
ejpam-4693	80	13	)	)	PUNCT
ejpam-4693	80	14	+	+	CCONJ
ejpam-4693	81	1	∞∑	∞∑	NUM
ejpam-4693	81	2	m=1	m=1	PROPN
ejpam-4693	81	3	1	1	NUM
ejpam-4693	81	4	m	m	NOUN
ejpam-4693	81	5	!	!	PUNCT
ejpam-4693	82	1	∂mϕ	∂mϕ	NOUN
ejpam-4693	82	2	(	(	PUNCT
ejpam-4693	82	3	x	x	NOUN
ejpam-4693	82	4	;	;	PUNCT
ejpam-4693	82	5	q	q	X
ejpam-4693	82	6	)	)	PUNCT
ejpam-4693	83	1	∂qm	∂qm	ADV
ejpam-4693	83	2	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4693	83	3	q=0	q=0	NOUN
ejpam-4693	83	4	,	,	PUNCT
ejpam-4693	83	5	(	(	PUNCT
ejpam-4693	83	6	7	7	X
ejpam-4693	83	7	)	)	PUNCT
ejpam-4693	83	8	rasha	rasha	PROPN
ejpam-4693	83	9	f.	f.	PROPN
ejpam-4693	83	10	ahmed	ahmed	PROPN
ejpam-4693	83	11	,	,	PUNCT
ejpam-4693	83	12	w.	w.	PROPN
ejpam-4693	83	13	al	al	PROPN
ejpam-4693	83	14	-	-	PUNCT
ejpam-4693	83	15	hayani	hayani	PROPN
ejpam-4693	83	16	,	,	PUNCT
ejpam-4693	83	17	a.	a.	PROPN
ejpam-4693	83	18	y.	y.	PROPN
ejpam-4693	83	19	al	al	PROPN
ejpam-4693	83	20	-	-	PUNCT
ejpam-4693	83	21	bayati	bayati	PROPN
ejpam-4693	83	22	/	/	SYM
ejpam-4693	83	23	eur	eur	PROPN
ejpam-4693	83	24	.	.	PUNCT
ejpam-4693	84	1	j.	j.	PROPN
ejpam-4693	84	2	pure	pure	PROPN
ejpam-4693	84	3	appl	appl	PROPN
ejpam-4693	84	4	.	.	PROPN
ejpam-4693	84	5	math	math	PROPN
ejpam-4693	84	6	,	,	PUNCT
ejpam-4693	84	7	16	16	NUM
ejpam-4693	84	8	(	(	PUNCT
ejpam-4693	84	9	2	2	NUM
ejpam-4693	84	10	)	)	PUNCT
ejpam-4693	84	11	(	(	PUNCT
ejpam-4693	84	12	2023	2023	NUM
ejpam-4693	84	13	)	)	PUNCT
ejpam-4693	84	14	,	,	PUNCT
ejpam-4693	84	15	864	864	NUM
ejpam-4693	84	16	-	-	SYM
ejpam-4693	84	17	892	892	NUM
ejpam-4693	84	18	867	867	NUM
ejpam-4693	84	19	by	by	ADP
ejpam-4693	84	20	considering	consider	VERB
ejpam-4693	84	21	um	um	INTJ
ejpam-4693	84	22	=	=	SYM
ejpam-4693	84	23	1	1	NUM
ejpam-4693	84	24	m	m	NOUN
ejpam-4693	84	25	!	!	PUNCT
ejpam-4693	85	1	∂mϕ	∂mϕ	NOUN
ejpam-4693	85	2	(	(	PUNCT
ejpam-4693	85	3	x	x	NOUN
ejpam-4693	85	4	;	;	PUNCT
ejpam-4693	85	5	q	q	X
ejpam-4693	85	6	)	)	PUNCT
ejpam-4693	85	7	∂qm	∂qm	ADV
ejpam-4693	85	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4693	85	9	q=0	q=0	NOUN
ejpam-4693	85	10	,	,	PUNCT
ejpam-4693	85	11	m	m	VERB
ejpam-4693	85	12	=	=	NOUN
ejpam-4693	85	13	1	1	NUM
ejpam-4693	85	14	,	,	PUNCT
ejpam-4693	85	15	2	2	NUM
ejpam-4693	85	16	,	,	PUNCT
ejpam-4693	85	17	3	3	NUM
ejpam-4693	85	18	,	,	PUNCT
ejpam-4693	85	19	·	·	PUNCT
ejpam-4693	85	20	·	·	PUNCT
ejpam-4693	85	21	·	·	PUNCT
ejpam-4693	85	22	(	(	PUNCT
ejpam-4693	85	23	8)	8)	NUM
ejpam-4693	85	24	equation	equation	NOUN
ejpam-4693	85	25	7	7	NUM
ejpam-4693	85	26	can	can	AUX
ejpam-4693	85	27	be	be	AUX
ejpam-4693	85	28	formulated	formulate	VERB
ejpam-4693	85	29	as	as	ADP
ejpam-4693	85	30	follow	follow	NOUN
ejpam-4693	85	31	:	:	PUNCT
ejpam-4693	85	32	ϕ	ϕ	NOUN
ejpam-4693	85	33	(	(	PUNCT
ejpam-4693	85	34	x	x	NOUN
ejpam-4693	85	35	;	;	PUNCT
ejpam-4693	85	36	q	q	X
ejpam-4693	85	37	)	)	PUNCT
ejpam-4693	85	38	=	=	SYM
ejpam-4693	85	39	u0	u0	ADJ
ejpam-4693	85	40	(	(	PUNCT
ejpam-4693	85	41	x	x	X
ejpam-4693	85	42	)	)	PUNCT
ejpam-4693	86	1	+	+	CCONJ
ejpam-4693	86	2	∞∑	∞∑	PROPN
ejpam-4693	86	3	m=1	m=1	PROPN
ejpam-4693	86	4	um	um	INTJ
ejpam-4693	86	5	(	(	PUNCT
ejpam-4693	86	6	x	x	NOUN
ejpam-4693	86	7	)	)	PUNCT
ejpam-4693	86	8	qm	qm	PROPN
ejpam-4693	86	9	,	,	PUNCT
ejpam-4693	86	10	(	(	PUNCT
ejpam-4693	86	11	9	9	X
ejpam-4693	86	12	)	)	PUNCT
ejpam-4693	86	13	if	if	SCONJ
ejpam-4693	86	14	the	the	DET
ejpam-4693	86	15	series	series	NOUN
ejpam-4693	86	16	in	in	ADP
ejpam-4693	86	17	equation	equation	NOUN
ejpam-4693	86	18	9	9	NUM
ejpam-4693	86	19	converge	converge	NOUN
ejpam-4693	86	20	at	at	ADP
ejpam-4693	86	21	q	q	NOUN
ejpam-4693	86	22	=	=	NOUN
ejpam-4693	86	23	1	1	NUM
ejpam-4693	86	24	then	then	ADV
ejpam-4693	86	25	we	we	PRON
ejpam-4693	86	26	obtain	obtain	VERB
ejpam-4693	86	27	the	the	DET
ejpam-4693	86	28	solution	solution	NOUN
ejpam-4693	86	29	u	u	NOUN
ejpam-4693	86	30	(	(	PUNCT
ejpam-4693	86	31	x	x	NOUN
ejpam-4693	86	32	)	)	PUNCT
ejpam-4693	86	33	=	=	SYM
ejpam-4693	87	1	∞∑	∞∑	NUM
ejpam-4693	87	2	m=0	m=0	PROPN
ejpam-4693	87	3	um	um	INTJ
ejpam-4693	87	4	(	(	PUNCT
ejpam-4693	87	5	x	x	NOUN
ejpam-4693	87	6	)	)	PUNCT
ejpam-4693	87	7	.	.	PUNCT
ejpam-4693	88	1	(	(	PUNCT
ejpam-4693	88	2	10	10	NUM
ejpam-4693	88	3	)	)	PUNCT
ejpam-4693	88	4	we	we	PRON
ejpam-4693	88	5	differentiate	differentiate	VERB
ejpam-4693	88	6	both	both	DET
ejpam-4693	88	7	sides	side	NOUN
ejpam-4693	88	8	of	of	ADP
ejpam-4693	88	9	equation	equation	NOUN
ejpam-4693	88	10	10	10	NUM
ejpam-4693	88	11	m	m	NOUN
ejpam-4693	88	12	times	time	NOUN
ejpam-4693	88	13	with	with	ADP
ejpam-4693	88	14	respect	respect	NOUN
ejpam-4693	88	15	to	to	ADP
ejpam-4693	88	16	the	the	DET
ejpam-4693	88	17	embedding	embed	VERB
ejpam-4693	88	18	parameter	parameter	NOUN
ejpam-4693	88	19	q	q	PROPN
ejpam-4693	88	20	in	in	ADP
ejpam-4693	88	21	order	order	NOUN
ejpam-4693	88	22	to	to	PART
ejpam-4693	88	23	determine	determine	VERB
ejpam-4693	88	24	functions	function	NOUN
ejpam-4693	88	25	um	um	INTJ
ejpam-4693	88	26	.	.	PUNCT
ejpam-4693	89	1	then	then	ADV
ejpam-4693	89	2	,	,	PUNCT
ejpam-4693	89	3	we	we	PRON
ejpam-4693	89	4	divide	divide	VERB
ejpam-4693	89	5	the	the	DET
ejpam-4693	89	6	received	receive	VERB
ejpam-4693	89	7	finding	finding	NOUN
ejpam-4693	89	8	by	by	ADP
ejpam-4693	89	9	m!and	m!and	PROPN
ejpam-4693	89	10	then	then	ADV
ejpam-4693	89	11	setting	set	VERB
ejpam-4693	89	12	q	q	NOUN
ejpam-4693	90	1	=	=	PUNCT
ejpam-4693	91	1	0	0	NUM
ejpam-4693	91	2	.	.	PUNCT
ejpam-4693	92	1	in	in	ADP
ejpam-4693	92	2	this	this	DET
ejpam-4693	92	3	way	way	NOUN
ejpam-4693	92	4	,	,	PUNCT
ejpam-4693	92	5	we	we	PRON
ejpam-4693	92	6	deduce	deduce	VERB
ejpam-4693	92	7	the	the	DET
ejpam-4693	92	8	so	so	ADV
ejpam-4693	92	9	-	-	PUNCT
ejpam-4693	92	10	called	call	VERB
ejpam-4693	92	11	mth	mth	NOUN
ejpam-4693	92	12	order	order	NOUN
ejpam-4693	92	13	deformation	deformation	NOUN
ejpam-4693	92	14	equation	equation	NOUN
ejpam-4693	92	15	(	(	PUNCT
ejpam-4693	92	16	m	m	VERB
ejpam-4693	92	17	>	>	X
ejpam-4693	92	18	0	0	NUM
ejpam-4693	92	19	):	):	PUNCT
ejpam-4693	92	20	l	l	NOUN
ejpam-4693	93	1	[	[	X
ejpam-4693	93	2	um	um	INTJ
ejpam-4693	93	3	(	(	PUNCT
ejpam-4693	93	4	x	x	NOUN
ejpam-4693	93	5	)	)	PUNCT
ejpam-4693	93	6	−xmum−1	−xmum−1	PROPN
ejpam-4693	93	7	(	(	PUNCT
ejpam-4693	93	8	x	x	NOUN
ejpam-4693	93	9	)	)	PUNCT
ejpam-4693	93	10	]	]	PUNCT
ejpam-4693	94	1	=	=	SYM
ejpam-4693	94	2	hrm	hrm	PROPN
ejpam-4693	94	3	(	(	PUNCT
ejpam-4693	94	4	um−1	um−1	PROPN
ejpam-4693	94	5	)	)	PUNCT
ejpam-4693	94	6	(	(	PUNCT
ejpam-4693	94	7	11	11	NUM
ejpam-4693	94	8	)	)	PUNCT
ejpam-4693	94	9	where	where	SCONJ
ejpam-4693	94	10	u⃗m−1	u⃗m−1	ADV
ejpam-4693	94	11	=	=	SYM
ejpam-4693	94	12	{	{	PUNCT
ejpam-4693	94	13	u0	u0	X
ejpam-4693	94	14	(	(	PUNCT
ejpam-4693	94	15	x	x	NOUN
ejpam-4693	94	16	)	)	PUNCT
ejpam-4693	94	17	,	,	PUNCT
ejpam-4693	94	18	u1	u1	NOUN
ejpam-4693	94	19	(	(	PUNCT
ejpam-4693	94	20	x	x	NOUN
ejpam-4693	94	21	)	)	PUNCT
ejpam-4693	94	22	,	,	PUNCT
ejpam-4693	94	23	·	·	PUNCT
ejpam-4693	94	24	·	·	PUNCT
ejpam-4693	94	25	·	·	PUNCT
ejpam-4693	94	26	,	,	PUNCT
ejpam-4693	94	27	um−1	um−1	PROPN
ejpam-4693	94	28	(	(	PUNCT
ejpam-4693	94	29	x	x	NOUN
ejpam-4693	94	30	)	)	PUNCT
ejpam-4693	94	31	}	}	PUNCT
ejpam-4693	94	32	.	.	PUNCT
ejpam-4693	95	1	and	and	CCONJ
ejpam-4693	95	2	xm	xm	PROPN
ejpam-4693	95	3	=	=	PUNCT
ejpam-4693	95	4	{	{	PUNCT
ejpam-4693	95	5	0	0	NUM
ejpam-4693	95	6	,	,	PUNCT
ejpam-4693	95	7	m	m	VERB
ejpam-4693	95	8	≤	≤	NUM
ejpam-4693	95	9	1	1	NUM
ejpam-4693	95	10	1	1	NUM
ejpam-4693	95	11	,	,	PUNCT
ejpam-4693	95	12	m	m	VERB
ejpam-4693	95	13	>	>	X
ejpam-4693	95	14	1	1	NUM
ejpam-4693	95	15	,	,	PUNCT
ejpam-4693	95	16	(	(	PUNCT
ejpam-4693	95	17	12	12	NUM
ejpam-4693	95	18	)	)	PUNCT
ejpam-4693	95	19	and	and	CCONJ
ejpam-4693	95	20	rm	rm	PROPN
ejpam-4693	95	21	(	(	PUNCT
ejpam-4693	95	22	u⃗m−1	u⃗m−1	PROPN
ejpam-4693	95	23	(	(	PUNCT
ejpam-4693	95	24	x	x	NOUN
ejpam-4693	95	25	)	)	PUNCT
ejpam-4693	95	26	)	)	PUNCT
ejpam-4693	96	1	=	=	SYM
ejpam-4693	96	2	1	1	X
ejpam-4693	96	3	(	(	PUNCT
ejpam-4693	96	4	m−	m−	PROPN
ejpam-4693	96	5	1	1	NUM
ejpam-4693	96	6	)	)	PUNCT
ejpam-4693	96	7	!	!	PUNCT
ejpam-4693	97	1	(	(	PUNCT
ejpam-4693	97	2	∂m−1	∂m−1	PROPN
ejpam-4693	97	3	∂qm−1	∂qm−1	PROPN
ejpam-4693	97	4	n	n	PROPN
ejpam-4693	97	5	(	(	PUNCT
ejpam-4693	97	6	∞∑	∞∑	NUM
ejpam-4693	97	7	i=0	i=0	PROPN
ejpam-4693	97	8	ui	ui	NOUN
ejpam-4693	97	9	(	(	PUNCT
ejpam-4693	97	10	x	x	NOUN
ejpam-4693	97	11	)	)	PUNCT
ejpam-4693	97	12	qi	qi	PROPN
ejpam-4693	97	13	)	)	PUNCT
ejpam-4693	97	14	)	)	PUNCT
ejpam-4693	97	15	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4693	97	16	q=0	q=0	NOUN
ejpam-4693	97	17	,	,	PUNCT
ejpam-4693	97	18	(	(	PUNCT
ejpam-4693	97	19	13	13	NUM
ejpam-4693	97	20	)	)	PUNCT
ejpam-4693	97	21	in	in	ADP
ejpam-4693	97	22	case	case	NOUN
ejpam-4693	97	23	of	of	ADP
ejpam-4693	97	24	inability	inability	NOUN
ejpam-4693	97	25	to	to	PART
ejpam-4693	97	26	find	find	VERB
ejpam-4693	97	27	the	the	DET
ejpam-4693	97	28	sum	sum	NOUN
ejpam-4693	97	29	of	of	ADP
ejpam-4693	97	30	the	the	DET
ejpam-4693	97	31	series	series	NOUN
ejpam-4693	97	32	in	in	ADP
ejpam-4693	97	33	equation	equation	NOUN
ejpam-4693	97	34	10	10	NUM
ejpam-4693	97	35	,	,	PUNCT
ejpam-4693	97	36	the	the	DET
ejpam-4693	97	37	partial	partial	ADJ
ejpam-4693	97	38	sum	sum	NOUN
ejpam-4693	97	39	was	be	AUX
ejpam-4693	97	40	determined	determine	VERB
ejpam-4693	97	41	of	of	ADP
ejpam-4693	97	42	this	this	DET
ejpam-4693	97	43	series	series	NOUN
ejpam-4693	97	44	.	.	PUNCT
ejpam-4693	98	1	ûn	ûn	X
ejpam-4693	99	1	(	(	PUNCT
ejpam-4693	99	2	x	x	X
ejpam-4693	99	3	)	)	PUNCT
ejpam-4693	99	4	=	=	SYM
ejpam-4693	99	5	n∑	n∑	PROPN
ejpam-4693	99	6	m=0	m=0	PROPN
ejpam-4693	99	7	um	um	INTJ
ejpam-4693	99	8	(	(	PUNCT
ejpam-4693	99	9	x	x	NOUN
ejpam-4693	99	10	)	)	PUNCT
ejpam-4693	99	11	,	,	PUNCT
ejpam-4693	99	12	(	(	PUNCT
ejpam-4693	99	13	14	14	NUM
ejpam-4693	99	14	)	)	PUNCT
ejpam-4693	99	15	is	be	AUX
ejpam-4693	99	16	the	the	DET
ejpam-4693	99	17	approximate	approximate	ADJ
ejpam-4693	99	18	solution	solution	NOUN
ejpam-4693	99	19	of	of	ADP
ejpam-4693	99	20	the	the	DET
ejpam-4693	99	21	considered	consider	VERB
ejpam-4693	99	22	equation	equation	NOUN
ejpam-4693	99	23	.	.	PUNCT
ejpam-4693	100	1	choosing	choose	VERB
ejpam-4693	100	2	convenient	convenient	ADJ
ejpam-4693	100	3	amount	amount	NOUN
ejpam-4693	100	4	of	of	ADP
ejpam-4693	100	5	the	the	DET
ejpam-4693	100	6	parameter	parameter	NOUN
ejpam-4693	100	7	h	h	PROPN
ejpam-4693	100	8	has	have	VERB
ejpam-4693	100	9	a	a	DET
ejpam-4693	100	10	great	great	ADJ
ejpam-4693	100	11	influence	influence	NOUN
ejpam-4693	100	12	on	on	ADP
ejpam-4693	100	13	the	the	DET
ejpam-4693	100	14	region	region	NOUN
ejpam-4693	100	15	of	of	ADP
ejpam-4693	100	16	convergence	convergence	NOUN
ejpam-4693	100	17	of	of	ADP
ejpam-4693	100	18	the	the	DET
ejpam-4693	100	19	series	series	NOUN
ejpam-4693	100	20	in	in	ADP
ejpam-4693	100	21	equation	equation	NOUN
ejpam-4693	100	22	10	10	NUM
ejpam-4693	100	23	and	and	CCONJ
ejpam-4693	100	24	the	the	DET
ejpam-4693	100	25	convergence	convergence	NOUN
ejpam-4693	100	26	rate	rate	NOUN
ejpam-4693	100	27	as	as	ADV
ejpam-4693	100	28	well	well	ADV
ejpam-4693	100	29	[	[	X
ejpam-4693	100	30	27	27	NUM
ejpam-4693	100	31	,	,	PUNCT
ejpam-4693	100	32	34	34	NUM
ejpam-4693	100	33	,	,	PUNCT
ejpam-4693	100	34	42	42	NUM
ejpam-4693	100	35	]	]	PUNCT
ejpam-4693	100	36	.	.	PUNCT
ejpam-4693	101	1	one	one	NUM
ejpam-4693	101	2	of	of	ADP
ejpam-4693	101	3	the	the	DET
ejpam-4693	101	4	methods	method	NOUN
ejpam-4693	101	5	for	for	ADP
ejpam-4693	101	6	selecting	select	VERB
ejpam-4693	101	7	the	the	DET
ejpam-4693	101	8	value	value	NOUN
ejpam-4693	101	9	of	of	ADP
ejpam-4693	101	10	convergence	convergence	NOUN
ejpam-4693	101	11	control	control	NOUN
ejpam-4693	101	12	parameter	parameter	NOUN
ejpam-4693	101	13	is	be	AUX
ejpam-4693	101	14	genetic	genetic	ADJ
ejpam-4693	101	15	algorithm	algorithm	NOUN
ejpam-4693	101	16	(	(	PUNCT
ejpam-4693	101	17	ga	ga	PROPN
ejpam-4693	101	18	)	)	PUNCT
ejpam-4693	101	19	.	.	PUNCT
ejpam-4693	102	1	rasha	rasha	PROPN
ejpam-4693	102	2	f.	f.	PROPN
ejpam-4693	102	3	ahmed	ahmed	PROPN
ejpam-4693	102	4	,	,	PUNCT
ejpam-4693	102	5	w.	w.	PROPN
ejpam-4693	102	6	al	al	PROPN
ejpam-4693	102	7	-	-	PUNCT
ejpam-4693	102	8	hayani	hayani	PROPN
ejpam-4693	102	9	,	,	PUNCT
ejpam-4693	102	10	a.	a.	PROPN
ejpam-4693	102	11	y.	y.	PROPN
ejpam-4693	102	12	al	al	PROPN
ejpam-4693	102	13	-	-	PUNCT
ejpam-4693	102	14	bayati	bayati	PROPN
ejpam-4693	102	15	/	/	SYM
ejpam-4693	102	16	eur	eur	PROPN
ejpam-4693	102	17	.	.	PUNCT
ejpam-4693	103	1	j.	j.	PROPN
ejpam-4693	103	2	pure	pure	PROPN
ejpam-4693	103	3	appl	appl	PROPN
ejpam-4693	103	4	.	.	PROPN
ejpam-4693	103	5	math	math	PROPN
ejpam-4693	103	6	,	,	PUNCT
ejpam-4693	103	7	16	16	NUM
ejpam-4693	103	8	(	(	PUNCT
ejpam-4693	103	9	2	2	NUM
ejpam-4693	103	10	)	)	PUNCT
ejpam-4693	103	11	(	(	PUNCT
ejpam-4693	103	12	2023	2023	NUM
ejpam-4693	103	13	)	)	PUNCT
ejpam-4693	103	14	,	,	PUNCT
ejpam-4693	103	15	864	864	NUM
ejpam-4693	103	16	-	-	SYM
ejpam-4693	103	17	892	892	NUM
ejpam-4693	103	18	868	868	NUM
ejpam-4693	103	19	3	3	NUM
ejpam-4693	103	20	.	.	PUNCT
ejpam-4693	103	21	description	description	NOUN
ejpam-4693	103	22	of	of	ADP
ejpam-4693	103	23	the	the	DET
ejpam-4693	103	24	method	method	NOUN
ejpam-4693	103	25	consider	consider	VERB
ejpam-4693	103	26	the	the	DET
ejpam-4693	103	27	operators	operator	NOUN
ejpam-4693	103	28	l	l	PROPN
ejpam-4693	103	29	and	and	CCONJ
ejpam-4693	103	30	n	n	NOUN
ejpam-4693	103	31	are	be	AUX
ejpam-4693	103	32	defined	define	VERB
ejpam-4693	103	33	as	as	SCONJ
ejpam-4693	103	34	follows	follow	VERB
ejpam-4693	103	35	l	l	NOUN
ejpam-4693	103	36	(	(	PUNCT
ejpam-4693	103	37	ui	ui	NOUN
ejpam-4693	103	38	)	)	PUNCT
ejpam-4693	104	1	=	=	SYM
ejpam-4693	104	2	ui	ui	PROPN
ejpam-4693	104	3	,	,	PUNCT
ejpam-4693	104	4	n	n	PROPN
ejpam-4693	104	5	(	(	PUNCT
ejpam-4693	104	6	ui	ui	NOUN
ejpam-4693	104	7	)	)	PUNCT
ejpam-4693	104	8	=	=	SYM
ejpam-4693	104	9	ui(x	ui(x	X
ejpam-4693	104	10	)	)	PUNCT
ejpam-4693	105	1	−	−	PROPN
ejpam-4693	105	2	fi	fi	NOUN
ejpam-4693	105	3	(	(	PUNCT
ejpam-4693	105	4	x	x	NOUN
ejpam-4693	105	5	)	)	PUNCT
ejpam-4693	105	6	−	−	ADP
ejpam-4693	105	7	∫	∫	PROPN
ejpam-4693	105	8	g(x	g(x	NOUN
ejpam-4693	105	9	)	)	PUNCT
ejpam-4693	105	10	f(x	f(x	PROPN
ejpam-4693	105	11	)	)	PUNCT
ejpam-4693	106	1	[	[	X
ejpam-4693	106	2	∑n	∑n	PROPN
ejpam-4693	106	3	j=1kij	j=1kij	PROPN
ejpam-4693	106	4	(	(	PUNCT
ejpam-4693	106	5	x	x	X
ejpam-4693	106	6	,	,	PUNCT
ejpam-4693	106	7	t)r(ui	t)r(ui	PRON
ejpam-4693	106	8	(	(	PUNCT
ejpam-4693	106	9	t	t	NOUN
ejpam-4693	106	10	)	)	PUNCT
ejpam-4693	106	11	)	)	PUNCT
ejpam-4693	106	12	]	]	PUNCT
ejpam-4693	107	1	dt	dt	X
ejpam-4693	107	2	,	,	PUNCT
ejpam-4693	107	3	i	i	PRON
ejpam-4693	107	4	=	=	NOUN
ejpam-4693	107	5	1	1	NUM
ejpam-4693	107	6	,	,	PUNCT
ejpam-4693	107	7	2	2	NUM
ejpam-4693	107	8	,	,	PUNCT
ejpam-4693	107	9	·	·	PUNCT
ejpam-4693	107	10	·	·	PUNCT
ejpam-4693	107	11	·	·	PUNCT
ejpam-4693	107	12	,	,	PUNCT
ejpam-4693	107	13	n	n	CCONJ
ejpam-4693	107	14	,	,	PUNCT
ejpam-4693	107	15	(	(	PUNCT
ejpam-4693	107	16	15	15	X
ejpam-4693	107	17	)	)	PUNCT
ejpam-4693	107	18	let	let	VERB
ejpam-4693	107	19	ui,0	ui,0	PROPN
ejpam-4693	107	20	∈	∈	PROPN
ejpam-4693	107	21	c	c	NOUN
ejpam-4693	108	1	[	[	X
ejpam-4693	108	2	a	a	X
ejpam-4693	108	3	,	,	PUNCT
ejpam-4693	108	4	b	b	NOUN
ejpam-4693	108	5	]	]	X
ejpam-4693	108	6	,	,	PUNCT
ejpam-4693	108	7	i	i	PRON
ejpam-4693	108	8	=	=	NOUN
ejpam-4693	108	9	1	1	NUM
ejpam-4693	108	10	,	,	PUNCT
ejpam-4693	108	11	2	2	NUM
ejpam-4693	108	12	,	,	PUNCT
ejpam-4693	108	13	·	·	PUNCT
ejpam-4693	108	14	·	·	PUNCT
ejpam-4693	108	15	·	·	PUNCT
ejpam-4693	108	16	,	,	PUNCT
ejpam-4693	108	17	n.	n.	NOUN
ejpam-4693	108	18	in	in	ADP
ejpam-4693	108	19	this	this	DET
ejpam-4693	108	20	case	case	NOUN
ejpam-4693	108	21	,	,	PUNCT
ejpam-4693	108	22	by	by	ADP
ejpam-4693	108	23	considering	consider	VERB
ejpam-4693	108	24	the	the	DET
ejpam-4693	108	25	ham	ham	NOUN
ejpam-4693	108	26	,	,	PUNCT
ejpam-4693	108	27	we	we	PRON
ejpam-4693	108	28	obtain	obtain	VERB
ejpam-4693	108	29	the	the	DET
ejpam-4693	108	30	following	follow	VERB
ejpam-4693	108	31	formula	formula	NOUN
ejpam-4693	108	32	for	for	ADP
ejpam-4693	108	33	function	function	NOUN
ejpam-4693	108	34	ui	ui	PROPN
ejpam-4693	108	35	,	,	PUNCT
ejpam-4693	108	36	m	m	PROPN
ejpam-4693	108	37	,	,	PUNCT
ejpam-4693	108	38	i	i	PRON
ejpam-4693	108	39	=	=	NOUN
ejpam-4693	108	40	1	1	NUM
ejpam-4693	108	41	,	,	PUNCT
ejpam-4693	108	42	2	2	NUM
ejpam-4693	108	43	,	,	PUNCT
ejpam-4693	108	44	·	·	PUNCT
ejpam-4693	108	45	·	·	PUNCT
ejpam-4693	108	46	·	·	PUNCT
ejpam-4693	108	47	,	,	PUNCT
ejpam-4693	108	48	n	n	CCONJ
ejpam-4693	108	49	,	,	PUNCT
ejpam-4693	108	50	m	m	VERB
ejpam-4693	108	51	≥	≥	NOUN
ejpam-4693	108	52	1	1	NUM
ejpam-4693	108	53	:	:	PUNCT
ejpam-4693	108	54	ui	ui	PROPN
ejpam-4693	108	55	,	,	PUNCT
ejpam-4693	108	56	m	m	VERB
ejpam-4693	108	57	=	=	NOUN
ejpam-4693	108	58	χmui	χmui	ADJ
ejpam-4693	108	59	,	,	PUNCT
ejpam-4693	108	60	m−1	m−1	PROPN
ejpam-4693	108	61	(	(	PUNCT
ejpam-4693	108	62	x	x	X
ejpam-4693	108	63	)	)	PUNCT
ejpam-4693	109	1	+	+	CCONJ
ejpam-4693	109	2	hrm	hrm	PROPN
ejpam-4693	109	3	(	(	PUNCT
ejpam-4693	109	4	u⃗i	u⃗i	PROPN
ejpam-4693	109	5	,	,	PUNCT
ejpam-4693	109	6	m−1(x	m−1(x	NOUN
ejpam-4693	109	7	)	)	PUNCT
ejpam-4693	109	8	)	)	PUNCT
ejpam-4693	109	9	(	(	PUNCT
ejpam-4693	109	10	16	16	NUM
ejpam-4693	109	11	)	)	PUNCT
ejpam-4693	109	12	where	where	SCONJ
ejpam-4693	109	13	χm	χm	PRON
ejpam-4693	109	14	and	and	CCONJ
ejpam-4693	109	15	rm	rm	NOUN
ejpam-4693	109	16	are	be	AUX
ejpam-4693	109	17	defined	define	VERB
ejpam-4693	109	18	as	as	ADP
ejpam-4693	109	19	in	in	ADP
ejpam-4693	109	20	equations	equation	NOUN
ejpam-4693	109	21	12	12	NUM
ejpam-4693	109	22	and	and	CCONJ
ejpam-4693	109	23	13	13	NUM
ejpam-4693	109	24	respectively	respectively	ADV
ejpam-4693	109	25	.	.	PUNCT
ejpam-4693	110	1	using	use	VERB
ejpam-4693	110	2	the	the	DET
ejpam-4693	110	3	definitions	definition	NOUN
ejpam-4693	110	4	of	of	ADP
ejpam-4693	110	5	the	the	DET
ejpam-4693	110	6	respective	respective	ADJ
ejpam-4693	110	7	operators	operator	NOUN
ejpam-4693	110	8	,	,	PUNCT
ejpam-4693	110	9	we	we	PRON
ejpam-4693	110	10	obtain	obtain	VERB
ejpam-4693	110	11	ri	ri	PROPN
ejpam-4693	110	12	,	,	PUNCT
ejpam-4693	110	13	m	m	PROPN
ejpam-4693	110	14	(	(	PUNCT
ejpam-4693	110	15	u⃗i	u⃗i	PROPN
ejpam-4693	110	16	,	,	PUNCT
ejpam-4693	110	17	m−1	m−1	PROPN
ejpam-4693	110	18	,	,	PUNCT
ejpam-4693	110	19	x	x	NOUN
ejpam-4693	110	20	)	)	PUNCT
ejpam-4693	110	21	)	)	PUNCT
ejpam-4693	111	1	=	=	SYM
ejpam-4693	111	2	1	1	X
ejpam-4693	111	3	(	(	PUNCT
ejpam-4693	111	4	m−	m−	PROPN
ejpam-4693	111	5	1	1	NUM
ejpam-4693	111	6	)	)	PUNCT
ejpam-4693	111	7	!	!	PUNCT
ejpam-4693	112	1	∂m−1	∂m−1	PROPN
ejpam-4693	112	2	∂qm−1n	∂qm−1n	NOUN
ejpam-4693	112	3	(	(	PUNCT
ejpam-4693	112	4	∞∑	∞∑	PRON
ejpam-4693	112	5	k=0	k=0	PROPN
ejpam-4693	112	6	ui	ui	PROPN
ejpam-4693	112	7	,	,	PUNCT
ejpam-4693	112	8	k(x)qk	k(x)qk	PROPN
ejpam-4693	112	9	)	)	PUNCT
ejpam-4693	112	10	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4693	113	1	q=0	q=0	NOUN
ejpam-4693	113	2	,	,	PUNCT
ejpam-4693	113	3	(	(	PUNCT
ejpam-4693	113	4	17	17	NUM
ejpam-4693	113	5	)	)	PUNCT
ejpam-4693	113	6	=	=	SYM
ejpam-4693	113	7	1	1	X
ejpam-4693	113	8	(	(	PUNCT
ejpam-4693	113	9	m−	m−	PROPN
ejpam-4693	113	10	1	1	NUM
ejpam-4693	113	11	)	)	PUNCT
ejpam-4693	113	12	!	!	PUNCT
ejpam-4693	114	1	∂m−1	∂m−1	PROPN
ejpam-4693	115	1	∂qm−1	∂qm−1	PROPN
ejpam-4693	115	2			NOUN
ejpam-4693	115	3	∞∑	∞∑	NUM
ejpam-4693	115	4	k=1	k=1	PUNCT
ejpam-4693	115	5	ui	ui	PROPN
ejpam-4693	115	6	,	,	PUNCT
ejpam-4693	115	7	k(x)qk	k(x)qk	PROPN
ejpam-4693	115	8	−	−	PROPN
ejpam-4693	115	9	fi	fi	NOUN
ejpam-4693	115	10	(	(	PUNCT
ejpam-4693	115	11	x	x	NOUN
ejpam-4693	115	12	)	)	PUNCT
ejpam-4693	115	13	−	−	ADP
ejpam-4693	115	14	∫	∫	PROPN
ejpam-4693	115	15	g(x	g(x	NOUN
ejpam-4693	115	16	)	)	PUNCT
ejpam-4693	115	17	f(x	f(x	PROPN
ejpam-4693	115	18	)	)	PUNCT
ejpam-4693	116	1			PROPN
ejpam-4693	116	2	n∑	n∑	PROPN
ejpam-4693	116	3	j=1	j=1	PROPN
ejpam-4693	116	4	kij	kij	PROPN
ejpam-4693	116	5	(	(	PUNCT
ejpam-4693	116	6	x	x	NOUN
ejpam-4693	116	7	,	,	PUNCT
ejpam-4693	116	8	t)r	t)r	X
ejpam-4693	116	9	(	(	PUNCT
ejpam-4693	116	10	∞∑	∞∑	NUM
ejpam-4693	116	11	k=1	k=1	PROPN
ejpam-4693	116	12	uj	uj	PROPN
ejpam-4693	116	13	,	,	PUNCT
ejpam-4693	116	14	k(t)qk	k(t)qk	PROPN
ejpam-4693	116	15	)	)	PUNCT
ejpam-4693	116	16			PROPN
ejpam-4693	116	17	q=0	q=0	PROPN
ejpam-4693	116	18	,	,	PUNCT
ejpam-4693	116	19	=	=	NOUN
ejpam-4693	116	20	1	1	NUM
ejpam-4693	116	21	(	(	PUNCT
ejpam-4693	116	22	m−	m−	PROPN
ejpam-4693	116	23	1	1	NUM
ejpam-4693	116	24	)	)	PUNCT
ejpam-4693	116	25	!	!	PUNCT
ejpam-4693	117	1	∂m−1	∂m−1	PROPN
ejpam-4693	118	1	∂qm−1	∂qm−1	PROPN
ejpam-4693	118	2			NOUN
ejpam-4693	118	3	∞∑	∞∑	NUM
ejpam-4693	118	4	k=1	k=1	PUNCT
ejpam-4693	118	5	ui	ui	PROPN
ejpam-4693	118	6	,	,	PUNCT
ejpam-4693	118	7	k(x)qk	k(x)qk	PROPN
ejpam-4693	118	8	−	−	PROPN
ejpam-4693	118	9	fi	fi	NOUN
ejpam-4693	118	10	(	(	PUNCT
ejpam-4693	118	11	x	x	NOUN
ejpam-4693	118	12	)	)	PUNCT
ejpam-4693	118	13	−	−	PROPN
ejpam-4693	119	1	∞∑	∞∑	NUM
ejpam-4693	119	2	k=1	k=1	PUNCT
ejpam-4693	119	3	∫	∫	PROPN
ejpam-4693	119	4	g(x	g(x	NOUN
ejpam-4693	119	5	)	)	PUNCT
ejpam-4693	119	6	f(x	f(x	PROPN
ejpam-4693	119	7	)	)	PUNCT
ejpam-4693	120	1	n∑	n∑	NOUN
ejpam-4693	121	1	j=1	j=1	PROPN
ejpam-4693	121	2	kij	kij	PROPN
ejpam-4693	121	3	(	(	PUNCT
ejpam-4693	121	4	x	x	NOUN
ejpam-4693	121	5	,	,	PUNCT
ejpam-4693	121	6	t)r	t)r	X
ejpam-4693	121	7	(	(	PUNCT
ejpam-4693	121	8	ui	ui	PROPN
ejpam-4693	121	9	,	,	PUNCT
ejpam-4693	121	10	k(t	k(t	PROPN
ejpam-4693	121	11	)	)	PUNCT
ejpam-4693	121	12	)	)	PUNCT
ejpam-4693	122	1	qkdt	qkdt	CCONJ
ejpam-4693	122	2			PRON
ejpam-4693	123	1	q=0	q=0	INTJ
ejpam-4693	123	2	,	,	PUNCT
ejpam-4693	123	3	=	=	NOUN
ejpam-4693	123	4	1	1	NUM
ejpam-4693	123	5	(	(	PUNCT
ejpam-4693	123	6	m−	m−	PROPN
ejpam-4693	123	7	1	1	NUM
ejpam-4693	123	8	)	)	PUNCT
ejpam-4693	123	9	!	!	PUNCT
ejpam-4693	124	1	(	(	PUNCT
ejpam-4693	124	2	(	(	PUNCT
ejpam-4693	124	3	m−	m−	PROPN
ejpam-4693	124	4	1)!ui	1)!ui	NUM
ejpam-4693	124	5	,	,	PUNCT
ejpam-4693	124	6	m−1	m−1	PROPN
ejpam-4693	124	7	(	(	PUNCT
ejpam-4693	124	8	x	x	NOUN
ejpam-4693	124	9	)	)	PUNCT
ejpam-4693	124	10	−	−	PROPN
ejpam-4693	124	11	(	(	PUNCT
ejpam-4693	124	12	1	1	NUM
ejpam-4693	124	13	−	−	NOUN
ejpam-4693	124	14	χm)fi	χm)fi	PROPN
ejpam-4693	124	15	(	(	PUNCT
ejpam-4693	124	16	x	x	X
ejpam-4693	124	17	)	)	PUNCT
ejpam-4693	124	18	−	−	ADP
ejpam-4693	124	19	∫	∫	PROPN
ejpam-4693	124	20	g(x	g(x	NOUN
ejpam-4693	124	21	)	)	PUNCT
ejpam-4693	124	22	f(x	f(x	PROPN
ejpam-4693	124	23	)	)	PUNCT
ejpam-4693	125	1	n∑	n∑	NOUN
ejpam-4693	125	2	j=1	j=1	NOUN
ejpam-4693	125	3	[	[	PUNCT
ejpam-4693	125	4	kij(x	kij(x	X
ejpam-4693	125	5	,	,	PUNCT
ejpam-4693	125	6	t)(m−	t)(m−	PRON
ejpam-4693	125	7	1)!r	1)!r	NUM
ejpam-4693	125	8	(	(	PUNCT
ejpam-4693	125	9	ui	ui	PROPN
ejpam-4693	125	10	,	,	PUNCT
ejpam-4693	125	11	m−1(t	m−1(t	PROPN
ejpam-4693	125	12	)	)	PUNCT
ejpam-4693	125	13	)	)	PUNCT
ejpam-4693	126	1	]	]	PUNCT
ejpam-4693	126	2			PROPN
ejpam-4693	126	3	,	,	PUNCT
ejpam-4693	126	4	=	=	SYM
ejpam-4693	126	5	ui	ui	PROPN
ejpam-4693	126	6	,	,	PUNCT
ejpam-4693	126	7	m−1	m−1	PROPN
ejpam-4693	126	8	(	(	PUNCT
ejpam-4693	126	9	x	x	X
ejpam-4693	126	10	)	)	PUNCT
ejpam-4693	126	11	−	−	PROPN
ejpam-4693	126	12	1	1	NUM
ejpam-4693	126	13	−	−	PROPN
ejpam-4693	126	14	χm	χm	NOUN
ejpam-4693	126	15	(	(	PUNCT
ejpam-4693	126	16	m−	m−	PROPN
ejpam-4693	126	17	1	1	NUM
ejpam-4693	126	18	)	)	PUNCT
ejpam-4693	126	19	!	!	PUNCT
ejpam-4693	127	1	fi	fi	NOUN
ejpam-4693	127	2	(	(	PUNCT
ejpam-4693	127	3	x	x	X
ejpam-4693	127	4	)	)	PUNCT
ejpam-4693	127	5	−	−	ADP
ejpam-4693	127	6	∫	∫	PROPN
ejpam-4693	127	7	g(x	g(x	NOUN
ejpam-4693	127	8	)	)	PUNCT
ejpam-4693	127	9	f(x	f(x	PROPN
ejpam-4693	127	10	)	)	PUNCT
ejpam-4693	127	11			PROPN
ejpam-4693	127	12	n∑	n∑	NOUN
ejpam-4693	128	1	j=1	j=1	NOUN
ejpam-4693	128	2	kij	kij	PROPN
ejpam-4693	128	3	(	(	PUNCT
ejpam-4693	128	4	x	x	NOUN
ejpam-4693	128	5	,	,	PUNCT
ejpam-4693	128	6	t)r	t)r	X
ejpam-4693	128	7	(	(	PUNCT
ejpam-4693	128	8	ui	ui	NOUN
ejpam-4693	128	9	,	,	PUNCT
ejpam-4693	128	10	m−1	m−1	PROPN
ejpam-4693	128	11	(	(	PUNCT
ejpam-4693	128	12	t	t	PROPN
ejpam-4693	128	13	)	)	PUNCT
ejpam-4693	128	14	)	)	PUNCT
ejpam-4693	128	15			NOUN
ejpam-4693	128	16	dt	dt	PROPN
ejpam-4693	128	17	.	.	PUNCT
ejpam-4693	129	1	utilizing	utilize	VERB
ejpam-4693	129	2	the	the	DET
ejpam-4693	129	3	above	above	ADJ
ejpam-4693	129	4	relation	relation	NOUN
ejpam-4693	129	5	and	and	CCONJ
ejpam-4693	129	6	equation	equation	NOUN
ejpam-4693	129	7	3	3	NUM
ejpam-4693	129	8	we	we	PRON
ejpam-4693	129	9	get	get	VERB
ejpam-4693	129	10	the	the	DET
ejpam-4693	129	11	following	follow	VERB
ejpam-4693	129	12	formula	formula	NOUN
ejpam-4693	129	13	:	:	PUNCT
ejpam-4693	129	14	u1,i	u1,i	SYM
ejpam-4693	130	1	=	=	PUNCT
ejpam-4693	131	1	h	h	NOUN
ejpam-4693	132	1	u0,i	u0,i	VERB
ejpam-4693	132	2	−	−	PROPN
ejpam-4693	133	1	fi	fi	NOUN
ejpam-4693	133	2	(	(	PUNCT
ejpam-4693	133	3	x	x	NOUN
ejpam-4693	133	4	)	)	PUNCT
ejpam-4693	133	5	−	−	ADP
ejpam-4693	133	6	∫	∫	PROPN
ejpam-4693	133	7	g(x	g(x	NOUN
ejpam-4693	133	8	)	)	PUNCT
ejpam-4693	133	9	f(x	f(x	PROPN
ejpam-4693	133	10	)	)	PUNCT
ejpam-4693	133	11			PROPN
ejpam-4693	134	1	n∑	n∑	INTJ
ejpam-4693	134	2	j=1	j=1	PROPN
ejpam-4693	134	3	ki	ki	PROPN
ejpam-4693	134	4	,	,	PUNCT
ejpam-4693	134	5	j	j	PROPN
ejpam-4693	134	6	(	(	PUNCT
ejpam-4693	134	7	x	x	PROPN
ejpam-4693	134	8	,	,	PUNCT
ejpam-4693	134	9	t)r(u0,i	t)r(u0,i	NOUN
ejpam-4693	134	10	(	(	PUNCT
ejpam-4693	134	11	t	t	NOUN
ejpam-4693	134	12	)	)	PUNCT
ejpam-4693	134	13	)	)	PUNCT
ejpam-4693	134	14			NOUN
ejpam-4693	134	15	dt	dt	ADP
ejpam-4693	134	16			PROPN
ejpam-4693	134	17	.	.	PUNCT
ejpam-4693	135	1	and	and	CCONJ
ejpam-4693	135	2	form	form	VERB
ejpam-4693	135	3	m	m	PROPN
ejpam-4693	135	4	≥	≥	NOUN
ejpam-4693	135	5	2	2	NUM
ejpam-4693	135	6	:	:	PUNCT
ejpam-4693	135	7	rasha	rasha	PROPN
ejpam-4693	135	8	f.	f.	PROPN
ejpam-4693	135	9	ahmed	ahmed	PROPN
ejpam-4693	135	10	,	,	PUNCT
ejpam-4693	135	11	w.	w.	PROPN
ejpam-4693	135	12	al	al	PROPN
ejpam-4693	135	13	-	-	PUNCT
ejpam-4693	135	14	hayani	hayani	PROPN
ejpam-4693	135	15	,	,	PUNCT
ejpam-4693	135	16	a.	a.	PROPN
ejpam-4693	135	17	y.	y.	PROPN
ejpam-4693	135	18	al	al	PROPN
ejpam-4693	135	19	-	-	PUNCT
ejpam-4693	135	20	bayati	bayati	PROPN
ejpam-4693	135	21	/	/	SYM
ejpam-4693	135	22	eur	eur	PROPN
ejpam-4693	135	23	.	.	PUNCT
ejpam-4693	136	1	j.	j.	PROPN
ejpam-4693	136	2	pure	pure	PROPN
ejpam-4693	136	3	appl	appl	PROPN
ejpam-4693	136	4	.	.	PROPN
ejpam-4693	136	5	math	math	PROPN
ejpam-4693	136	6	,	,	PUNCT
ejpam-4693	136	7	16	16	NUM
ejpam-4693	136	8	(	(	PUNCT
ejpam-4693	136	9	2	2	NUM
ejpam-4693	136	10	)	)	PUNCT
ejpam-4693	136	11	(	(	PUNCT
ejpam-4693	136	12	2023	2023	NUM
ejpam-4693	136	13	)	)	PUNCT
ejpam-4693	136	14	,	,	PUNCT
ejpam-4693	136	15	864	864	NUM
ejpam-4693	136	16	-	-	SYM
ejpam-4693	136	17	892	892	NUM
ejpam-4693	136	18	869	869	NUM
ejpam-4693	136	19	ui	ui	PROPN
ejpam-4693	136	20	,	,	PUNCT
ejpam-4693	136	21	m	m	PROPN
ejpam-4693	136	22	(	(	PUNCT
ejpam-4693	136	23	x	x	NOUN
ejpam-4693	136	24	)	)	PUNCT
ejpam-4693	136	25	=	=	SYM
ejpam-4693	136	26	(	(	PUNCT
ejpam-4693	136	27	1	1	NUM
ejpam-4693	136	28	+	+	CCONJ
ejpam-4693	136	29	h)ui	h)ui	PROPN
ejpam-4693	136	30	,	,	PUNCT
ejpam-4693	136	31	m−1	m−1	PROPN
ejpam-4693	136	32	(	(	PUNCT
ejpam-4693	136	33	x	x	X
ejpam-4693	136	34	)	)	PUNCT
ejpam-4693	136	35	−	−	PROPN
ejpam-4693	136	36	h	h	NOUN
ejpam-4693	136	37	(	(	PUNCT
ejpam-4693	136	38	m−	m−	PROPN
ejpam-4693	136	39	1	1	NUM
ejpam-4693	136	40	)	)	PUNCT
ejpam-4693	136	41	!	!	PUNCT
ejpam-4693	137	1	∫	∫	PROPN
ejpam-4693	138	1	g(x	g(x	NOUN
ejpam-4693	138	2	)	)	PUNCT
ejpam-4693	138	3	f(x	f(x	PROPN
ejpam-4693	138	4	)	)	PUNCT
ejpam-4693	138	5			PROPN
ejpam-4693	139	1	n∑	n∑	INTJ
ejpam-4693	139	2	j=1	j=1	PROPN
ejpam-4693	139	3	ki	ki	PROPN
ejpam-4693	139	4	,	,	PUNCT
ejpam-4693	139	5	j	j	PROPN
ejpam-4693	139	6	(	(	PUNCT
ejpam-4693	139	7	x	x	PROPN
ejpam-4693	139	8	,	,	PUNCT
ejpam-4693	139	9	t	t	PROPN
ejpam-4693	139	10	)	)	PUNCT
ejpam-4693	139	11	(	(	PUNCT
ejpam-4693	139	12	∂m−1	∂m−1	PROPN
ejpam-4693	139	13	∂qm−1r	∂qm−1r	PROPN
ejpam-4693	139	14	(	(	PUNCT
ejpam-4693	139	15	∞∑	∞∑	PROPN
ejpam-4693	139	16	i=0	i=0	PROPN
ejpam-4693	139	17	ui	ui	NOUN
ejpam-4693	139	18	,	,	PUNCT
ejpam-4693	139	19	m−1	m−1	PROPN
ejpam-4693	139	20	(	(	PUNCT
ejpam-4693	139	21	t	t	PROPN
ejpam-4693	139	22	)	)	PUNCT
ejpam-4693	139	23	qi	qi	PROPN
ejpam-4693	139	24	)	)	PUNCT
ejpam-4693	139	25	)	)	PUNCT
ejpam-4693	139	26			NOUN
ejpam-4693	139	27	dt	dt	PROPN
ejpam-4693	139	28	.	.	PUNCT
ejpam-4693	140	1	(	(	PUNCT
ejpam-4693	140	2	18	18	NUM
ejpam-4693	140	3	)	)	PUNCT
ejpam-4693	140	4	in	in	ADP
ejpam-4693	140	5	literature	literature	NOUN
ejpam-4693	140	6	,	,	PUNCT
ejpam-4693	140	7	one	one	PRON
ejpam-4693	140	8	can	can	AUX
ejpam-4693	140	9	find	find	VERB
ejpam-4693	140	10	the	the	DET
ejpam-4693	140	11	expression	expression	NOUN
ejpam-4693	140	12	∂m−1	∂m−1	PROPN
ejpam-4693	141	1	∂qm−1r	∂qm−1r	PROPN
ejpam-4693	141	2	(	(	PUNCT
ejpam-4693	141	3	∑∞	∑∞	NOUN
ejpam-4693	141	4	i=0	i=0	PROPN
ejpam-4693	141	5	ui	ui	PROPN
ejpam-4693	141	6	,	,	PUNCT
ejpam-4693	141	7	m−1	m−1	PROPN
ejpam-4693	141	8	(	(	PUNCT
ejpam-4693	141	9	t	t	PROPN
ejpam-4693	141	10	)	)	PUNCT
ejpam-4693	141	11	qi	qi	PROPN
ejpam-4693	141	12	)	)	PUNCT
ejpam-4693	141	13	,	,	PUNCT
ejpam-4693	141	14	calculated	calculate	VERB
ejpam-4693	141	15	for	for	ADP
ejpam-4693	141	16	various	various	ADJ
ejpam-4693	141	17	nonlinear	nonlinear	PROPN
ejpam-4693	141	18	operators	operator	NOUN
ejpam-4693	141	19	r.	r.	VERB
ejpam-4693	141	20	most	most	ADJ
ejpam-4693	141	21	of	of	ADP
ejpam-4693	141	22	these	these	DET
ejpam-4693	141	23	results	result	NOUN
ejpam-4693	141	24	were	be	AUX
ejpam-4693	141	25	collected	collect	VERB
ejpam-4693	141	26	in	in	ADP
ejpam-4693	141	27	monograph	monograph	NOUN
ejpam-4693	142	1	[	[	X
ejpam-4693	142	2	27	27	NUM
ejpam-4693	142	3	]	]	PUNCT
ejpam-4693	142	4	.	.	PUNCT
ejpam-4693	143	1	now	now	ADV
ejpam-4693	143	2	,	,	PUNCT
ejpam-4693	143	3	we	we	PRON
ejpam-4693	143	4	turn	turn	VERB
ejpam-4693	143	5	to	to	PART
ejpam-4693	143	6	prove	prove	VERB
ejpam-4693	143	7	under	under	ADP
ejpam-4693	143	8	proper	proper	ADJ
ejpam-4693	143	9	assumptions	assumption	NOUN
ejpam-4693	143	10	equation	equation	NOUN
ejpam-4693	143	11	6	6	NUM
ejpam-4693	143	12	which	which	PRON
ejpam-4693	143	13	has	have	VERB
ejpam-4693	143	14	a	a	DET
ejpam-4693	143	15	unique	unique	ADJ
ejpam-4693	143	16	solution	solution	NOUN
ejpam-4693	143	17	.	.	PUNCT
ejpam-4693	144	1	theorem	theorem	NOUN
ejpam-4693	144	2	1	1	X
ejpam-4693	144	3	.	.	PUNCT
ejpam-4693	144	4	consider	consider	VERB
ejpam-4693	144	5	the	the	DET
ejpam-4693	144	6	system	system	NOUN
ejpam-4693	144	7	of	of	ADP
ejpam-4693	144	8	vies	vie	NOUN
ejpam-4693	144	9	as	as	ADP
ejpam-4693	144	10	in	in	ADP
ejpam-4693	144	11	equation	equation	NOUN
ejpam-4693	144	12	3	3	NUM
ejpam-4693	144	13	,	,	PUNCT
ejpam-4693	144	14	such	such	ADJ
ejpam-4693	144	15	that	that	SCONJ
ejpam-4693	144	16	∥	∥	PROPN
ejpam-4693	144	17	kij(x	kij(x	PROPN
ejpam-4693	144	18	,	,	PUNCT
ejpam-4693	144	19	t	t	PROPN
ejpam-4693	144	20	)	)	PUNCT
ejpam-4693	144	21	∥=	∥=	NOUN
ejpam-4693	144	22	mi	mi	PROPN
ejpam-4693	144	23	,	,	PUNCT
ejpam-4693	144	24	and	and	CCONJ
ejpam-4693	144	25	∥	∥	NUM
ejpam-4693	144	26	m	m	VERB
ejpam-4693	144	27	∥=	∥=	ADJ
ejpam-4693	144	28	max	max	PROPN
ejpam-4693	144	29	|mi|	|mi|	NOUN
ejpam-4693	144	30	,	,	PUNCT
ejpam-4693	144	31	i	i	PRON
ejpam-4693	144	32	,	,	PUNCT
ejpam-4693	144	33	j	j	PROPN
ejpam-4693	144	34	=	=	SYM
ejpam-4693	144	35	1	1	NUM
ejpam-4693	144	36	,	,	PUNCT
ejpam-4693	144	37	2	2	NUM
ejpam-4693	144	38	,	,	PUNCT
ejpam-4693	144	39	·	·	PUNCT
ejpam-4693	144	40	·	·	PUNCT
ejpam-4693	144	41	·	·	PUNCT
ejpam-4693	144	42	,	,	PUNCT
ejpam-4693	144	43	n.	n.	NOUN
ejpam-4693	144	44	if	if	SCONJ
ejpam-4693	144	45	the	the	DET
ejpam-4693	144	46	following	follow	VERB
ejpam-4693	144	47	condition	condition	NOUN
ejpam-4693	144	48	is	be	AUX
ejpam-4693	144	49	satisfied	satisfied	ADJ
ejpam-4693	144	50	sn	sn	X
ejpam-4693	144	51	∥	∥	PUNCT
ejpam-4693	144	52	m	m	VERB
ejpam-4693	144	53	∥	∥	NOUN
ejpam-4693	144	54	(	(	PUNCT
ejpam-4693	144	55	b−	b−	NOUN
ejpam-4693	144	56	a	a	NOUN
ejpam-4693	144	57	)	)	PUNCT
ejpam-4693	144	58	<	<	X
ejpam-4693	145	1	1	1	NUM
ejpam-4693	145	2	.	.	PUNCT
ejpam-4693	145	3	(	(	PUNCT
ejpam-4693	145	4	19	19	NUM
ejpam-4693	145	5	)	)	PUNCT
ejpam-4693	145	6	then	then	ADV
ejpam-4693	145	7	equation	equation	NOUN
ejpam-4693	145	8	3	3	NUM
ejpam-4693	145	9	possess	possess	NOUN
ejpam-4693	145	10	at	at	ADP
ejpam-4693	145	11	most	most	ADV
ejpam-4693	145	12	one	one	NUM
ejpam-4693	145	13	solution	solution	NOUN
ejpam-4693	145	14	.	.	PUNCT
ejpam-4693	146	1	proof	proof	NOUN
ejpam-4693	146	2	.	.	PUNCT
ejpam-4693	147	1	suppose	suppose	VERB
ejpam-4693	147	2	that	that	SCONJ
ejpam-4693	147	3	there	there	PRON
ejpam-4693	147	4	exit	exit	VERB
ejpam-4693	147	5	two	two	NUM
ejpam-4693	147	6	solutions	solution	NOUN
ejpam-4693	147	7	ui,1	ui,1	PROPN
ejpam-4693	147	8	and	and	CCONJ
ejpam-4693	147	9	ui,2	ui,2	PROPN
ejpam-4693	147	10	,	,	PUNCT
ejpam-4693	147	11	we	we	PRON
ejpam-4693	147	12	have	have	VERB
ejpam-4693	147	13	∥	∥	NUM
ejpam-4693	147	14	ui,1	ui,1	PROPN
ejpam-4693	148	1	−	−	PROPN
ejpam-4693	148	2	ui,2	ui,2	PROPN
ejpam-4693	148	3	∥=	∥=	NOUN
ejpam-4693	148	4	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-4693	148	5	∫	∫	PROPN
ejpam-4693	148	6	g(x	g(x	NOUN
ejpam-4693	148	7	)	)	PUNCT
ejpam-4693	148	8	f(x	f(x	PROPN
ejpam-4693	148	9	)	)	PUNCT
ejpam-4693	148	10			PROPN
ejpam-4693	148	11	n∑	n∑	NOUN
ejpam-4693	148	12	j=1	j=1	NOUN
ejpam-4693	148	13	kij(x	kij(x	X
ejpam-4693	148	14	,	,	PUNCT
ejpam-4693	148	15	t)(r	t)(r	PRON
ejpam-4693	148	16	(	(	PUNCT
ejpam-4693	148	17	uj,1	uj,1	PROPN
ejpam-4693	148	18	(	(	PUNCT
ejpam-4693	148	19	t	t	PROPN
ejpam-4693	148	20	)	)	PUNCT
ejpam-4693	148	21	)	)	PUNCT
ejpam-4693	149	1	−r	−r	PROPN
ejpam-4693	149	2	(	(	PUNCT
ejpam-4693	149	3	uj,2	uj,2	PROPN
ejpam-4693	149	4	(	(	PUNCT
ejpam-4693	149	5	t	t	PROPN
ejpam-4693	149	6	)	)	PUNCT
ejpam-4693	149	7	)	)	PUNCT
ejpam-4693	149	8	)	)	PUNCT
ejpam-4693	150	1			NOUN
ejpam-4693	150	2	dt	dt	ADP
ejpam-4693	150	3	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-4693	150	4	≤∥	≤∥	X
ejpam-4693	150	5	m	m	VERB
ejpam-4693	150	6	∥	∥	NOUN
ejpam-4693	150	7	∫	∫	PROPN
ejpam-4693	150	8	g(x	g(x	NOUN
ejpam-4693	150	9	)	)	PUNCT
ejpam-4693	150	10	f(x	f(x	PROPN
ejpam-4693	150	11	)	)	PUNCT
ejpam-4693	151	1	n∑	n∑	NOUN
ejpam-4693	152	1	j=1	j=1	NOUN
ejpam-4693	152	2	∥	∥	NUM
ejpam-4693	152	3	r	r	NOUN
ejpam-4693	152	4	(	(	PUNCT
ejpam-4693	152	5	ui,1	ui,1	PROPN
ejpam-4693	152	6	)	)	PUNCT
ejpam-4693	152	7	−r(ui,2	−r(ui,2	PROPN
ejpam-4693	152	8	)	)	PUNCT
ejpam-4693	152	9	∥	∥	PUNCT
ejpam-4693	152	10	dt	dt	NOUN
ejpam-4693	152	11	,	,	PUNCT
ejpam-4693	152	12	≤∥	≤∥	X
ejpam-4693	152	13	m	m	VERB
ejpam-4693	152	14	∥	∥	NOUN
ejpam-4693	152	15	∫	∫	PROPN
ejpam-4693	152	16	g(x	g(x	NOUN
ejpam-4693	152	17	)	)	PUNCT
ejpam-4693	152	18	f(x	f(x	PROPN
ejpam-4693	152	19	)	)	PUNCT
ejpam-4693	153	1	n∑	n∑	NOUN
ejpam-4693	154	1	j=1	j=1	NOUN
ejpam-4693	154	2	∥	∥	NUM
ejpam-4693	154	3	r	r	NOUN
ejpam-4693	154	4	(	(	PUNCT
ejpam-4693	154	5	ui,1	ui,1	PROPN
ejpam-4693	154	6	)	)	PUNCT
ejpam-4693	154	7	−r(ui,2	−r(ui,2	PROPN
ejpam-4693	154	8	)	)	PUNCT
ejpam-4693	154	9	∥	∥	PUNCT
ejpam-4693	154	10	dt	dt	X
ejpam-4693	154	11	≤	≤	NUM
ejpam-4693	154	12	sn	sn	NOUN
ejpam-4693	154	13	∥	∥	PUNCT
ejpam-4693	154	14	m	m	VERB
ejpam-4693	154	15	∥	∥	NOUN
ejpam-4693	154	16	(	(	PUNCT
ejpam-4693	154	17	b−	b−	NOUN
ejpam-4693	154	18	a	a	NOUN
ejpam-4693	154	19	)	)	PUNCT
ejpam-4693	154	20	<	<	X
ejpam-4693	154	21	1	1	NUM
ejpam-4693	154	22	∥	∥	PUNCT
ejpam-4693	154	23	ui,1	ui,1	PROPN
ejpam-4693	154	24	−	−	PROPN
ejpam-4693	154	25	ui,2	ui,2	PROPN
ejpam-4693	154	26	∥	∥	PROPN
ejpam-4693	154	27	.	.	PUNCT
ejpam-4693	155	1	hence	hence	ADV
ejpam-4693	155	2	,	,	PUNCT
ejpam-4693	155	3	we	we	PRON
ejpam-4693	155	4	obtain	obtain	VERB
ejpam-4693	155	5	(	(	PUNCT
ejpam-4693	155	6	1	1	NUM
ejpam-4693	155	7	−	−	PROPN
ejpam-4693	155	8	sn	sn	PROPN
ejpam-4693	155	9	∥	∥	PUNCT
ejpam-4693	155	10	m	m	VERB
ejpam-4693	155	11	∥	∥	NOUN
ejpam-4693	155	12	(	(	PUNCT
ejpam-4693	155	13	b−	b−	NOUN
ejpam-4693	155	14	a	a	NOUN
ejpam-4693	155	15	)	)	PUNCT
ejpam-4693	155	16	)	)	PUNCT
ejpam-4693	156	1	≤	≤	NUM
ejpam-4693	156	2	1	1	NUM
ejpam-4693	156	3	.	.	PUNCT
ejpam-4693	157	1	(	(	PUNCT
ejpam-4693	157	2	20	20	NUM
ejpam-4693	157	3	)	)	PUNCT
ejpam-4693	158	1	so	so	ADV
ejpam-4693	158	2	,	,	PUNCT
ejpam-4693	158	3	if	if	SCONJ
ejpam-4693	158	4	the	the	DET
ejpam-4693	158	5	condition	condition	NOUN
ejpam-4693	158	6	19	19	NUM
ejpam-4693	158	7	is	be	AUX
ejpam-4693	158	8	satisfied	satisfied	ADJ
ejpam-4693	158	9	,	,	PUNCT
ejpam-4693	159	1	then	then	ADV
ejpam-4693	159	2	the	the	DET
ejpam-4693	159	3	quality	quality	NOUN
ejpam-4693	159	4	ui,1	ui,1	PROPN
ejpam-4693	159	5	=	=	PROPN
ejpam-4693	159	6	ui,2	ui,2	PROPN
ejpam-4693	159	7	,	,	PUNCT
ejpam-4693	159	8	i	i	PRON
ejpam-4693	159	9	=	=	NOUN
ejpam-4693	159	10	1	1	NUM
ejpam-4693	159	11	,	,	PUNCT
ejpam-4693	159	12	2	2	NUM
ejpam-4693	159	13	,	,	PUNCT
ejpam-4693	159	14	·	·	PUNCT
ejpam-4693	159	15	·	·	PUNCT
ejpam-4693	159	16	·	·	PUNCT
ejpam-4693	159	17	,	,	PUNCT
ejpam-4693	159	18	n	n	PRON
ejpam-4693	159	19	must	must	AUX
ejpam-4693	159	20	be	be	AUX
ejpam-4693	159	21	true	true	ADJ
ejpam-4693	159	22	.	.	PUNCT
ejpam-4693	160	1	we	we	PRON
ejpam-4693	160	2	now	now	ADV
ejpam-4693	160	3	proceed	proceed	VERB
ejpam-4693	160	4	to	to	PART
ejpam-4693	160	5	prove	prove	VERB
ejpam-4693	160	6	the	the	DET
ejpam-4693	160	7	theorem	theorem	NOUN
ejpam-4693	160	8	to	to	PART
ejpam-4693	160	9	ensure	ensure	VERB
ejpam-4693	160	10	that	that	SCONJ
ejpam-4693	160	11	the	the	DET
ejpam-4693	160	12	sum	sum	NOUN
ejpam-4693	160	13	of	of	ADP
ejpam-4693	160	14	the	the	DET
ejpam-4693	160	15	given	give	VERB
ejpam-4693	160	16	series	series	NOUN
ejpam-4693	160	17	is	be	AUX
ejpam-4693	160	18	the	the	DET
ejpam-4693	160	19	solution	solution	NOUN
ejpam-4693	160	20	to	to	ADP
ejpam-4693	160	21	the	the	DET
ejpam-4693	160	22	equation	equation	NOUN
ejpam-4693	160	23	discussed	discuss	VERB
ejpam-4693	160	24	.	.	PUNCT
ejpam-4693	161	1	theorem	theorem	NOUN
ejpam-4693	161	2	2	2	NUM
ejpam-4693	161	3	.	.	PUNCT
ejpam-4693	162	1	let	let	VERB
ejpam-4693	162	2	the	the	DET
ejpam-4693	162	3	functionsui	functionsui	NOUN
ejpam-4693	162	4	,	,	PUNCT
ejpam-4693	162	5	m	m	PROPN
ejpam-4693	162	6	,	,	PUNCT
ejpam-4693	162	7	i	i	PRON
ejpam-4693	162	8	=	=	NOUN
ejpam-4693	162	9	1	1	NUM
ejpam-4693	162	10	,	,	PUNCT
ejpam-4693	162	11	2	2	NUM
ejpam-4693	162	12	,	,	PUNCT
ejpam-4693	162	13	·	·	PUNCT
ejpam-4693	162	14	·	·	PUNCT
ejpam-4693	162	15	·	·	PUNCT
ejpam-4693	162	16	,	,	PUNCT
ejpam-4693	162	17	nm	nm	DET
ejpam-4693	162	18	≥	≥	NOUN
ejpam-4693	162	19	1	1	NUM
ejpam-4693	162	20	,	,	PUNCT
ejpam-4693	162	21	be	be	AUX
ejpam-4693	162	22	defined	define	VERB
ejpam-4693	162	23	in	in	ADP
ejpam-4693	162	24	equations	equation	NOUN
ejpam-4693	162	25	17	17	NUM
ejpam-4693	162	26	and	and	CCONJ
ejpam-4693	162	27	18	18	NUM
ejpam-4693	162	28	.	.	PUNCT
ejpam-4693	163	1	then	then	ADV
ejpam-4693	163	2	,	,	PUNCT
ejpam-4693	163	3	if	if	SCONJ
ejpam-4693	163	4	(	(	PUNCT
ejpam-4693	163	5	s	s	X
ejpam-4693	163	6	<	<	X
ejpam-4693	163	7	1	1	NUM
ejpam-4693	163	8	)	)	PUNCT
ejpam-4693	163	9	and	and	CCONJ
ejpam-4693	163	10	the	the	DET
ejpam-4693	163	11	series	series	NOUN
ejpam-4693	163	12	ui	ui	PROPN
ejpam-4693	163	13	(	(	PUNCT
ejpam-4693	163	14	x	x	X
ejpam-4693	163	15	)	)	PUNCT
ejpam-4693	163	16	=	=	SYM
ejpam-4693	163	17	∞∑	∞∑	NUM
ejpam-4693	163	18	m=0	m=0	PROPN
ejpam-4693	163	19	ui	ui	PROPN
ejpam-4693	163	20	,	,	PUNCT
ejpam-4693	163	21	m	m	VERB
ejpam-4693	163	22	(	(	PUNCT
ejpam-4693	163	23	x	x	X
ejpam-4693	163	24	)	)	PUNCT
ejpam-4693	163	25	,	,	PUNCT
ejpam-4693	163	26	i	i	PRON
ejpam-4693	163	27	=	=	NOUN
ejpam-4693	163	28	1	1	NUM
ejpam-4693	163	29	,	,	PUNCT
ejpam-4693	163	30	2	2	NUM
ejpam-4693	163	31	,	,	PUNCT
ejpam-4693	163	32	·	·	PUNCT
ejpam-4693	163	33	·	·	PUNCT
ejpam-4693	163	34	·	·	PUNCT
ejpam-4693	163	35	,	,	PUNCT
ejpam-4693	163	36	n	n	CCONJ
ejpam-4693	163	37	,	,	PUNCT
ejpam-4693	163	38	(	(	PUNCT
ejpam-4693	163	39	21	21	NUM
ejpam-4693	163	40	)	)	PUNCT
ejpam-4693	163	41	is	be	AUX
ejpam-4693	163	42	convergent	convergent	ADJ
ejpam-4693	163	43	,	,	PUNCT
ejpam-4693	163	44	then	then	ADV
ejpam-4693	163	45	the	the	DET
ejpam-4693	163	46	sum	sum	NOUN
ejpam-4693	163	47	of	of	ADP
ejpam-4693	163	48	this	this	DET
ejpam-4693	163	49	series	series	NOUN
ejpam-4693	163	50	is	be	AUX
ejpam-4693	163	51	the	the	DET
ejpam-4693	163	52	solution	solution	NOUN
ejpam-4693	163	53	of	of	ADP
ejpam-4693	163	54	equation	equation	NOUN
ejpam-4693	163	55	3	3	NUM
ejpam-4693	163	56	.	.	PUNCT
ejpam-4693	164	1	rasha	rasha	PROPN
ejpam-4693	164	2	f.	f.	PROPN
ejpam-4693	164	3	ahmed	ahmed	PROPN
ejpam-4693	164	4	,	,	PUNCT
ejpam-4693	164	5	w.	w.	PROPN
ejpam-4693	164	6	al	al	PROPN
ejpam-4693	164	7	-	-	PUNCT
ejpam-4693	164	8	hayani	hayani	PROPN
ejpam-4693	164	9	,	,	PUNCT
ejpam-4693	164	10	a.	a.	PROPN
ejpam-4693	164	11	y.	y.	PROPN
ejpam-4693	164	12	al	al	PROPN
ejpam-4693	164	13	-	-	PUNCT
ejpam-4693	164	14	bayati	bayati	PROPN
ejpam-4693	164	15	/	/	SYM
ejpam-4693	164	16	eur	eur	PROPN
ejpam-4693	164	17	.	.	PUNCT
ejpam-4693	165	1	j.	j.	PROPN
ejpam-4693	165	2	pure	pure	PROPN
ejpam-4693	165	3	appl	appl	PROPN
ejpam-4693	165	4	.	.	PROPN
ejpam-4693	165	5	math	math	PROPN
ejpam-4693	165	6	,	,	PUNCT
ejpam-4693	165	7	16	16	NUM
ejpam-4693	165	8	(	(	PUNCT
ejpam-4693	165	9	2	2	NUM
ejpam-4693	165	10	)	)	PUNCT
ejpam-4693	165	11	(	(	PUNCT
ejpam-4693	165	12	2023	2023	NUM
ejpam-4693	165	13	)	)	PUNCT
ejpam-4693	165	14	,	,	PUNCT
ejpam-4693	165	15	864	864	NUM
ejpam-4693	165	16	-	-	SYM
ejpam-4693	165	17	892	892	NUM
ejpam-4693	165	18	870	870	NUM
ejpam-4693	165	19	proof	proof	NOUN
ejpam-4693	165	20	.	.	PUNCT
ejpam-4693	166	1	let	let	VERB
ejpam-4693	166	2	the	the	DET
ejpam-4693	166	3	series	series	NOUN
ejpam-4693	166	4	in	in	ADP
ejpam-4693	166	5	equation	equation	NOUN
ejpam-4693	166	6	10	10	NUM
ejpam-4693	166	7	is	be	AUX
ejpam-4693	166	8	convergent	convergent	ADJ
ejpam-4693	166	9	.	.	PUNCT
ejpam-4693	167	1	then	then	ADV
ejpam-4693	167	2	,	,	PUNCT
ejpam-4693	167	3	from	from	ADP
ejpam-4693	167	4	the	the	DET
ejpam-4693	167	5	necessary	necessary	ADJ
ejpam-4693	167	6	condition	condition	NOUN
ejpam-4693	167	7	for	for	ADP
ejpam-4693	167	8	the	the	DET
ejpam-4693	167	9	convergent	convergent	NOUN
ejpam-4693	167	10	series	series	NOUN
ejpam-4693	167	11	,	,	PUNCT
ejpam-4693	167	12	we	we	PRON
ejpam-4693	167	13	conclude	conclude	VERB
ejpam-4693	167	14	that	that	SCONJ
ejpam-4693	167	15	for	for	ADP
ejpam-4693	167	16	any	any	DET
ejpam-4693	167	17	x	x	SYM
ejpam-4693	167	18	∈	∈	PROPN
ejpam-4693	167	19	[	[	X
ejpam-4693	167	20	a	a	X
ejpam-4693	167	21	,	,	PUNCT
ejpam-4693	167	22	b	b	NOUN
ejpam-4693	167	23	]	]	X
ejpam-4693	167	24	:	:	PUNCT
ejpam-4693	167	25	lim	lim	PROPN
ejpam-4693	167	26	m→∞	m→∞	NUM
ejpam-4693	167	27	ui	ui	PROPN
ejpam-4693	167	28	,	,	PUNCT
ejpam-4693	167	29	m	m	VERB
ejpam-4693	167	30	(	(	PUNCT
ejpam-4693	167	31	x	x	NOUN
ejpam-4693	167	32	)	)	PUNCT
ejpam-4693	167	33	=	=	SYM
ejpam-4693	167	34	0	0	NUM
ejpam-4693	167	35	,	,	PUNCT
ejpam-4693	167	36	i	i	PRON
ejpam-4693	167	37	=	=	NOUN
ejpam-4693	167	38	1	1	NUM
ejpam-4693	167	39	,	,	PUNCT
ejpam-4693	167	40	2	2	NUM
ejpam-4693	167	41	,	,	PUNCT
ejpam-4693	167	42	·	·	PUNCT
ejpam-4693	167	43	·	·	PUNCT
ejpam-4693	167	44	·	·	PUNCT
ejpam-4693	167	45	,	,	PUNCT
ejpam-4693	167	46	n.	n.	PROPN
ejpam-4693	167	47	now	now	ADV
ejpam-4693	167	48	,	,	PUNCT
ejpam-4693	167	49	let	let	VERB
ejpam-4693	167	50	ti	ti	PRON
ejpam-4693	167	51	,	,	PUNCT
ejpam-4693	167	52	m	m	VERB
ejpam-4693	167	53	has	have	VERB
ejpam-4693	167	54	the	the	DET
ejpam-4693	167	55	form	form	NOUN
ejpam-4693	167	56	:	:	PUNCT
ejpam-4693	167	57	ti	ti	NOUN
ejpam-4693	167	58	,	,	PUNCT
ejpam-4693	167	59	m	m	VERB
ejpam-4693	167	60	=	=	NOUN
ejpam-4693	167	61	1	1	NUM
ejpam-4693	167	62	m	m	NOUN
ejpam-4693	167	63	!	!	PUNCT
ejpam-4693	168	1	(	(	PUNCT
ejpam-4693	168	2	∂m	∂m	PROPN
ejpam-4693	168	3	∂qm	∂qm	PROPN
ejpam-4693	168	4	r	r	NOUN
ejpam-4693	168	5	(	(	PUNCT
ejpam-4693	168	6	∞∑	∞∑	PROPN
ejpam-4693	168	7	k=0	k=0	PROPN
ejpam-4693	168	8	ui	ui	PROPN
ejpam-4693	168	9	,	,	PUNCT
ejpam-4693	168	10	k(x)qk	k(x)qk	PROPN
ejpam-4693	168	11	)	)	PUNCT
ejpam-4693	168	12	)	)	PUNCT
ejpam-4693	168	13	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4693	169	1	q=0	q=0	NOUN
ejpam-4693	169	2	,	,	PUNCT
ejpam-4693	169	3	i	i	PRON
ejpam-4693	169	4	=	=	NOUN
ejpam-4693	169	5	1	1	NUM
ejpam-4693	169	6	,	,	PUNCT
ejpam-4693	169	7	2	2	NUM
ejpam-4693	169	8	,	,	PUNCT
ejpam-4693	169	9	·	·	PUNCT
ejpam-4693	169	10	·	·	PUNCT
ejpam-4693	169	11	·	·	PUNCT
ejpam-4693	169	12	,	,	PUNCT
ejpam-4693	169	13	n.	n.	NOUN
ejpam-4693	169	14	if	if	SCONJ
ejpam-4693	169	15	r	r	NOUN
ejpam-4693	169	16	is	be	AUX
ejpam-4693	169	17	the	the	DET
ejpam-4693	169	18	contraction	contraction	NOUN
ejpam-4693	169	19	mapping	mapping	NOUN
ejpam-4693	169	20	and	and	CCONJ
ejpam-4693	169	21	(	(	PUNCT
ejpam-4693	169	22	s	s	X
ejpam-4693	169	23	<	<	X
ejpam-4693	169	24	1	1	NUM
ejpam-4693	169	25	)	)	PUNCT
ejpam-4693	169	26	,	,	PUNCT
ejpam-4693	169	27	the	the	DET
ejpam-4693	169	28	series	series	NOUN
ejpam-4693	169	29	in	in	ADP
ejpam-4693	169	30	equation	equation	NOUN
ejpam-4693	169	31	21	21	NUM
ejpam-4693	169	32	converges	converge	NOUN
ejpam-4693	169	33	to	to	ADP
ejpam-4693	169	34	ui	ui	PROPN
ejpam-4693	169	35	(	(	PUNCT
ejpam-4693	169	36	x	x	NOUN
ejpam-4693	169	37	)	)	PUNCT
ejpam-4693	169	38	,	,	PUNCT
ejpam-4693	169	39	then	then	ADV
ejpam-4693	169	40	the	the	DET
ejpam-4693	169	41	series	series	PROPN
ejpam-4693	169	42	∑∞	∑∞	X
ejpam-4693	169	43	m=0	m=0	PROPN
ejpam-4693	169	44	ti	ti	PROPN
ejpam-4693	169	45	,	,	PUNCT
ejpam-4693	169	46	m	m	VERB
ejpam-4693	169	47	converges	converge	NOUN
ejpam-4693	169	48	to	to	ADP
ejpam-4693	169	49	r(ui	r(ui	NOUN
ejpam-4693	169	50	(	(	PUNCT
ejpam-4693	169	51	x	x	NOUN
ejpam-4693	169	52	)	)	PUNCT
ejpam-4693	169	53	)	)	PUNCT
ejpam-4693	169	54	(	(	PUNCT
ejpam-4693	169	55	see	see	VERB
ejpam-4693	169	56	[	[	X
ejpam-4693	169	57	12	12	NUM
ejpam-4693	169	58	]	]	PUNCT
ejpam-4693	169	59	)	)	PUNCT
ejpam-4693	169	60	.	.	PUNCT
ejpam-4693	170	1	utilizing	utilize	VERB
ejpam-4693	170	2	the	the	DET
ejpam-4693	170	3	definition	definition	NOUN
ejpam-4693	170	4	of	of	ADP
ejpam-4693	170	5	the	the	DET
ejpam-4693	170	6	operator	operator	NOUN
ejpam-4693	170	7	l	l	NOUN
ejpam-4693	170	8	we	we	PRON
ejpam-4693	170	9	can	can	AUX
ejpam-4693	170	10	write	write	VERB
ejpam-4693	170	11	n∑	n∑	PROPN
ejpam-4693	170	12	m=1	m=1	PROPN
ejpam-4693	170	13	l	l	X
ejpam-4693	170	14	(	(	PUNCT
ejpam-4693	170	15	ui	ui	PROPN
ejpam-4693	170	16	,	,	PUNCT
ejpam-4693	170	17	m	m	PROPN
ejpam-4693	170	18	(	(	PUNCT
ejpam-4693	170	19	x	x	NOUN
ejpam-4693	170	20	)	)	PUNCT
ejpam-4693	170	21	−	−	PROPN
ejpam-4693	171	1	χmui	χmui	PROPN
ejpam-4693	171	2	,	,	PUNCT
ejpam-4693	171	3	m−1	m−1	PROPN
ejpam-4693	171	4	(	(	PUNCT
ejpam-4693	171	5	x	x	NOUN
ejpam-4693	171	6	)	)	PUNCT
ejpam-4693	171	7	)	)	PUNCT
ejpam-4693	172	1	=	=	PUNCT
ejpam-4693	173	1	n∑	n∑	NOUN
ejpam-4693	173	2	m=1	m=1	X
ejpam-4693	173	3	(	(	PUNCT
ejpam-4693	173	4	ui	ui	PROPN
ejpam-4693	173	5	,	,	PUNCT
ejpam-4693	173	6	m	m	PROPN
ejpam-4693	173	7	(	(	PUNCT
ejpam-4693	173	8	x	x	NOUN
ejpam-4693	173	9	)	)	PUNCT
ejpam-4693	173	10	−	−	PROPN
ejpam-4693	174	1	χmui	χmui	PROPN
ejpam-4693	174	2	,	,	PUNCT
ejpam-4693	174	3	m−1	m−1	PROPN
ejpam-4693	174	4	(	(	PUNCT
ejpam-4693	174	5	x	x	NOUN
ejpam-4693	174	6	)	)	PUNCT
ejpam-4693	174	7	)	)	PUNCT
ejpam-4693	174	8	,	,	PUNCT
ejpam-4693	175	1	=	=	PRON
ejpam-4693	175	2	ui,1	ui,1	PROPN
ejpam-4693	175	3	(	(	PUNCT
ejpam-4693	175	4	x	x	X
ejpam-4693	175	5	)	)	PUNCT
ejpam-4693	175	6	+	+	CCONJ
ejpam-4693	175	7	(	(	PUNCT
ejpam-4693	175	8	ui,2	ui,2	PROPN
ejpam-4693	175	9	(	(	PUNCT
ejpam-4693	175	10	x	x	X
ejpam-4693	175	11	)	)	PUNCT
ejpam-4693	175	12	−	−	PROPN
ejpam-4693	176	1	ui,1	ui,1	PROPN
ejpam-4693	176	2	(	(	PUNCT
ejpam-4693	176	3	x	x	NOUN
ejpam-4693	176	4	)	)	PUNCT
ejpam-4693	176	5	)	)	PUNCT
ejpam-4693	177	1	+	+	CCONJ
ejpam-4693	177	2	(	(	PUNCT
ejpam-4693	177	3	ui,3	ui,3	NOUN
ejpam-4693	177	4	(	(	PUNCT
ejpam-4693	177	5	x	x	X
ejpam-4693	177	6	)	)	PUNCT
ejpam-4693	177	7	−	−	PROPN
ejpam-4693	177	8	ui,2	ui,2	PROPN
ejpam-4693	177	9	(	(	PUNCT
ejpam-4693	177	10	x	x	NOUN
ejpam-4693	177	11	)	)	PUNCT
ejpam-4693	177	12	)	)	PUNCT
ejpam-4693	178	1	+	+	CCONJ
ejpam-4693	178	2	·	·	PUNCT
ejpam-4693	178	3	·	·	PUNCT
ejpam-4693	178	4	·	·	PUNCT
ejpam-4693	178	5	+	+	CCONJ
ejpam-4693	178	6	(	(	PUNCT
ejpam-4693	178	7	ui	ui	PROPN
ejpam-4693	178	8	,	,	PUNCT
ejpam-4693	178	9	n	n	PROPN
ejpam-4693	178	10	(	(	PUNCT
ejpam-4693	178	11	x	x	NOUN
ejpam-4693	178	12	)	)	PUNCT
ejpam-4693	178	13	−	−	PROPN
ejpam-4693	178	14	ui	ui	PROPN
ejpam-4693	178	15	,	,	PUNCT
ejpam-4693	178	16	n−1	n−1	PROPN
ejpam-4693	178	17	(	(	PUNCT
ejpam-4693	178	18	x	x	NOUN
ejpam-4693	178	19	)	)	PUNCT
ejpam-4693	178	20	)	)	PUNCT
ejpam-4693	179	1	=	=	SYM
ejpam-4693	179	2	ui	ui	PROPN
ejpam-4693	179	3	,	,	PUNCT
ejpam-4693	179	4	n	n	PROPN
ejpam-4693	179	5	(	(	PUNCT
ejpam-4693	179	6	x	x	NOUN
ejpam-4693	179	7	)	)	PUNCT
ejpam-4693	179	8	.	.	PUNCT
ejpam-4693	180	1	hence	hence	ADV
ejpam-4693	180	2	∞∑	∞∑	ADJ
ejpam-4693	180	3	m=1	m=1	PROPN
ejpam-4693	180	4	l	l	NOUN
ejpam-4693	180	5	(	(	PUNCT
ejpam-4693	180	6	ui	ui	PROPN
ejpam-4693	180	7	,	,	PUNCT
ejpam-4693	180	8	m	m	PROPN
ejpam-4693	180	9	(	(	PUNCT
ejpam-4693	180	10	x	x	NOUN
ejpam-4693	180	11	)	)	PUNCT
ejpam-4693	181	1	−	−	PROPN
ejpam-4693	181	2	χmui	χmui	PROPN
ejpam-4693	181	3	,	,	PUNCT
ejpam-4693	181	4	m−1	m−1	PROPN
ejpam-4693	181	5	(	(	PUNCT
ejpam-4693	181	6	x	x	NOUN
ejpam-4693	181	7	)	)	PUNCT
ejpam-4693	181	8	)	)	PUNCT
ejpam-4693	182	1	=	=	SYM
ejpam-4693	182	2	lim	lim	PROPN
ejpam-4693	182	3	n→∞	n→∞	NUM
ejpam-4693	182	4	ui	ui	PROPN
ejpam-4693	182	5	,	,	PUNCT
ejpam-4693	182	6	n	n	PROPN
ejpam-4693	182	7	(	(	PUNCT
ejpam-4693	182	8	x	x	X
ejpam-4693	182	9	)	)	PUNCT
ejpam-4693	182	10	=	=	SYM
ejpam-4693	182	11	0	0	NUM
ejpam-4693	182	12	from	from	ADP
ejpam-4693	182	13	equation	equation	NOUN
ejpam-4693	182	14	11	11	NUM
ejpam-4693	182	15	we	we	PRON
ejpam-4693	182	16	get	get	VERB
ejpam-4693	182	17	h	h	NOUN
ejpam-4693	182	18	∞∑	∞∑	PROPN
ejpam-4693	182	19	m=1	m=1	PROPN
ejpam-4693	182	20	ri	ri	PROPN
ejpam-4693	182	21	,	,	PUNCT
ejpam-4693	182	22	m	m	PROPN
ejpam-4693	182	23	(	(	PUNCT
ejpam-4693	182	24	u⃗i	u⃗i	PROPN
ejpam-4693	182	25	,	,	PUNCT
ejpam-4693	182	26	m−1	m−1	PROPN
ejpam-4693	182	27	,	,	PUNCT
ejpam-4693	182	28	x	x	X
ejpam-4693	182	29	)	)	PUNCT
ejpam-4693	182	30	=	=	PUNCT
ejpam-4693	183	1	∞∑	∞∑	NUM
ejpam-4693	183	2	m=1	m=1	PROPN
ejpam-4693	183	3	l	l	NOUN
ejpam-4693	183	4	(	(	PUNCT
ejpam-4693	183	5	ui	ui	PROPN
ejpam-4693	183	6	,	,	PUNCT
ejpam-4693	183	7	m	m	PROPN
ejpam-4693	183	8	(	(	PUNCT
ejpam-4693	183	9	x	x	NOUN
ejpam-4693	183	10	)	)	PUNCT
ejpam-4693	183	11	−	−	PROPN
ejpam-4693	183	12	χmui	χmui	PROPN
ejpam-4693	183	13	,	,	PUNCT
ejpam-4693	183	14	m−1	m−1	PROPN
ejpam-4693	183	15	(	(	PUNCT
ejpam-4693	183	16	x	x	NOUN
ejpam-4693	183	17	)	)	PUNCT
ejpam-4693	183	18	)	)	PUNCT
ejpam-4693	183	19	,	,	PUNCT
ejpam-4693	184	1	i	i	PRON
ejpam-4693	184	2	=	=	NOUN
ejpam-4693	184	3	1	1	NUM
ejpam-4693	184	4	,	,	PUNCT
ejpam-4693	184	5	2	2	NUM
ejpam-4693	184	6	,	,	PUNCT
ejpam-4693	184	7	·	·	PUNCT
ejpam-4693	184	8	·	·	PUNCT
ejpam-4693	184	9	·	·	PUNCT
ejpam-4693	184	10	,	,	PUNCT
ejpam-4693	184	11	n.	n.	NOUN
ejpam-4693	184	12	and	and	CCONJ
ejpam-4693	184	13	since	since	SCONJ
ejpam-4693	184	14	h	h	PROPN
ejpam-4693	184	15	̸=	̸=	PROPN
ejpam-4693	184	16	0	0	NUM
ejpam-4693	185	1	thus	thus	ADV
ejpam-4693	185	2	we	we	PRON
ejpam-4693	185	3	have	have	VERB
ejpam-4693	185	4	∞∑	∞∑	NUM
ejpam-4693	185	5	m=1	m=1	PROPN
ejpam-4693	185	6	ri	ri	PROPN
ejpam-4693	185	7	,	,	PUNCT
ejpam-4693	185	8	m	m	PROPN
ejpam-4693	185	9	(	(	PUNCT
ejpam-4693	185	10	u⃗i	u⃗i	PROPN
ejpam-4693	185	11	,	,	PUNCT
ejpam-4693	185	12	m−1	m−1	PROPN
ejpam-4693	185	13	,	,	PUNCT
ejpam-4693	185	14	x	x	NOUN
ejpam-4693	185	15	)	)	PUNCT
ejpam-4693	185	16	=	=	SYM
ejpam-4693	186	1	0	0	NUM
ejpam-4693	186	2	,	,	PUNCT
ejpam-4693	186	3	i	i	PRON
ejpam-4693	186	4	=	=	NOUN
ejpam-4693	186	5	1	1	NUM
ejpam-4693	186	6	,	,	PUNCT
ejpam-4693	186	7	2	2	NUM
ejpam-4693	186	8	,	,	PUNCT
ejpam-4693	186	9	·	·	PUNCT
ejpam-4693	186	10	·	·	PUNCT
ejpam-4693	186	11	·	·	PUNCT
ejpam-4693	186	12	,	,	PUNCT
ejpam-4693	186	13	n.	n.	NOUN
ejpam-4693	186	14	as	as	ADP
ejpam-4693	186	15	a	a	DET
ejpam-4693	186	16	result	result	NOUN
ejpam-4693	186	17	of	of	ADP
ejpam-4693	186	18	some	some	DET
ejpam-4693	186	19	transformations	transformation	NOUN
ejpam-4693	186	20	,	,	PUNCT
ejpam-4693	186	21	we	we	PRON
ejpam-4693	186	22	successively	successively	ADV
ejpam-4693	186	23	get	get	VERB
ejpam-4693	186	24	0	0	NUM
ejpam-4693	187	1	=	=	PUNCT
ejpam-4693	188	1	∞∑	∞∑	PROPN
ejpam-4693	188	2	m=1	m=1	PROPN
ejpam-4693	188	3	ri	ri	PROPN
ejpam-4693	188	4	,	,	PUNCT
ejpam-4693	188	5	m	m	PROPN
ejpam-4693	188	6	(	(	PUNCT
ejpam-4693	188	7	u⃗i	u⃗i	PROPN
ejpam-4693	188	8	,	,	PUNCT
ejpam-4693	188	9	m−1	m−1	PROPN
ejpam-4693	188	10	,	,	PUNCT
ejpam-4693	188	11	x	x	NOUN
ejpam-4693	188	12	)	)	PUNCT
ejpam-4693	188	13	,	,	PUNCT
ejpam-4693	188	14	=	=	PUNCT
ejpam-4693	188	15	∞∑	∞∑	NUM
ejpam-4693	188	16	m=1	m=1	X
ejpam-4693	188	17	(	(	PUNCT
ejpam-4693	188	18	1	1	NUM
ejpam-4693	188	19	(	(	PUNCT
ejpam-4693	188	20	m−	m−	PROPN
ejpam-4693	188	21	1	1	NUM
ejpam-4693	188	22	)	)	PUNCT
ejpam-4693	188	23	!	!	PUNCT
ejpam-4693	189	1	∂m−1	∂m−1	PROPN
ejpam-4693	190	1	∂qm−1	∂qm−1	PROPN
ejpam-4693	190	2	∞∑	∞∑	NUM
ejpam-4693	190	3	k=1	k=1	PUNCT
ejpam-4693	190	4	ui	ui	PROPN
ejpam-4693	190	5	,	,	PUNCT
ejpam-4693	190	6	k	k	PROPN
ejpam-4693	190	7	(	(	PUNCT
ejpam-4693	190	8	x	x	X
ejpam-4693	190	9	)	)	PUNCT
ejpam-4693	190	10	qk	qk	ADP
ejpam-4693	190	11	−	−	PROPN
ejpam-4693	190	12	fi(x	fi(x	NUM
ejpam-4693	190	13	)	)	PUNCT
ejpam-4693	191	1	−	−	NUM
ejpam-4693	191	2	∫	∫	PROPN
ejpam-4693	192	1	g(x	g(x	NOUN
ejpam-4693	192	2	)	)	PUNCT
ejpam-4693	192	3	f(x	f(x	PROPN
ejpam-4693	192	4	)	)	PUNCT
ejpam-4693	192	5			PROPN
ejpam-4693	193	1	n∑	n∑	INTJ
ejpam-4693	193	2	j=1	j=1	PROPN
ejpam-4693	193	3	ki	ki	PROPN
ejpam-4693	193	4	,	,	PUNCT
ejpam-4693	193	5	j	j	PROPN
ejpam-4693	193	6	(	(	PUNCT
ejpam-4693	193	7	x	x	NOUN
ejpam-4693	193	8	,	,	PUNCT
ejpam-4693	193	9	t)r	t)r	X
ejpam-4693	193	10	(	(	PUNCT
ejpam-4693	193	11	∞∑	∞∑	NUM
ejpam-4693	193	12	k=1	k=1	X
ejpam-4693	193	13	ui	ui	PROPN
ejpam-4693	193	14	,	,	PUNCT
ejpam-4693	193	15	k(t)qk	k(t)qk	PROPN
ejpam-4693	193	16	)	)	PUNCT
ejpam-4693	193	17			NOUN
ejpam-4693	193	18	dt	dt	ADP
ejpam-4693	193	19	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4693	193	20	q=0	q=0	ADV
ejpam-4693	193	21	)	)	PUNCT
ejpam-4693	193	22	rasha	rasha	PROPN
ejpam-4693	193	23	f.	f.	PROPN
ejpam-4693	193	24	ahmed	ahmed	PROPN
ejpam-4693	193	25	,	,	PUNCT
ejpam-4693	193	26	w.	w.	PROPN
ejpam-4693	193	27	al	al	PROPN
ejpam-4693	193	28	-	-	PUNCT
ejpam-4693	193	29	hayani	hayani	PROPN
ejpam-4693	193	30	,	,	PUNCT
ejpam-4693	193	31	a.	a.	PROPN
ejpam-4693	193	32	y.	y.	PROPN
ejpam-4693	193	33	al	al	PROPN
ejpam-4693	193	34	-	-	PUNCT
ejpam-4693	193	35	bayati	bayati	PROPN
ejpam-4693	193	36	/	/	SYM
ejpam-4693	193	37	eur	eur	PROPN
ejpam-4693	193	38	.	.	PUNCT
ejpam-4693	194	1	j.	j.	PROPN
ejpam-4693	194	2	pure	pure	PROPN
ejpam-4693	194	3	appl	appl	PROPN
ejpam-4693	194	4	.	.	PROPN
ejpam-4693	194	5	math	math	PROPN
ejpam-4693	194	6	,	,	PUNCT
ejpam-4693	194	7	16	16	NUM
ejpam-4693	194	8	(	(	PUNCT
ejpam-4693	194	9	2	2	NUM
ejpam-4693	194	10	)	)	PUNCT
ejpam-4693	194	11	(	(	PUNCT
ejpam-4693	194	12	2023	2023	NUM
ejpam-4693	194	13	)	)	PUNCT
ejpam-4693	194	14	,	,	PUNCT
ejpam-4693	194	15	864	864	NUM
ejpam-4693	194	16	-	-	SYM
ejpam-4693	194	17	892	892	NUM
ejpam-4693	194	18	871	871	NUM
ejpam-4693	194	19	=	=	PUNCT
ejpam-4693	195	1	∞∑	∞∑	NUM
ejpam-4693	195	2	m=1	m=1	X
ejpam-4693	195	3	(	(	PUNCT
ejpam-4693	195	4	ui	ui	PROPN
ejpam-4693	195	5	,	,	PUNCT
ejpam-4693	195	6	m−1	m−1	PROPN
ejpam-4693	195	7	(	(	PUNCT
ejpam-4693	195	8	x	x	X
ejpam-4693	195	9	)	)	PUNCT
ejpam-4693	195	10	−	−	PROPN
ejpam-4693	195	11	1	1	NUM
ejpam-4693	195	12	−	−	PROPN
ejpam-4693	195	13	χm	χm	NOUN
ejpam-4693	195	14	(	(	PUNCT
ejpam-4693	195	15	m−	m−	PROPN
ejpam-4693	195	16	1	1	NUM
ejpam-4693	195	17	)	)	PUNCT
ejpam-4693	195	18	!	!	PUNCT
ejpam-4693	196	1	fi	fi	NOUN
ejpam-4693	196	2	(	(	PUNCT
ejpam-4693	196	3	x	x	X
ejpam-4693	196	4	)	)	PUNCT
ejpam-4693	196	5	−	−	ADP
ejpam-4693	196	6	∫	∫	PROPN
ejpam-4693	196	7	g(x	g(x	PROPN
ejpam-4693	196	8	)	)	PUNCT
ejpam-4693	196	9	f(x)	f(x)	X
ejpam-4693	197	1	n∑	n∑	NOUN
ejpam-4693	198	1	j=1	j=1	PROPN
ejpam-4693	198	2	kij(x	kij(x	PROPN
ejpam-4693	198	3	,	,	PUNCT
ejpam-4693	198	4	t	t	PROPN
ejpam-4693	198	5	)	)	PUNCT
ejpam-4693	198	6	[	[	PUNCT
ejpam-4693	198	7	1	1	X
ejpam-4693	198	8	(	(	PUNCT
ejpam-4693	198	9	m−	m−	PROPN
ejpam-4693	198	10	1	1	NUM
ejpam-4693	198	11	)	)	PUNCT
ejpam-4693	198	12	!	!	PUNCT
ejpam-4693	199	1	∂m−1	∂m−1	PROPN
ejpam-4693	200	1	∂qm−1r	∂qm−1r	PROPN
ejpam-4693	200	2	(	(	PUNCT
ejpam-4693	200	3	∞∑	∞∑	NUM
ejpam-4693	200	4	k=1	k=1	X
ejpam-4693	200	5	ui	ui	PROPN
ejpam-4693	200	6	,	,	PUNCT
ejpam-4693	200	7	k(t)qk	k(t)qk	PROPN
ejpam-4693	200	8	)	)	PUNCT
ejpam-4693	200	9	]	]	PUNCT
ejpam-4693	200	10			NOUN
ejpam-4693	200	11	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-4693	200	12	q=0	q=0	ADP
ejpam-4693	200	13	dt	dt	X
ejpam-4693	200	14	)	)	PUNCT
ejpam-4693	200	15	=	=	PUNCT
ejpam-4693	201	1	∞∑	∞∑	PRON
ejpam-4693	201	2	m=1	m=1	PROPN
ejpam-4693	201	3	ui	ui	NOUN
ejpam-4693	201	4	,	,	PUNCT
ejpam-4693	201	5	m−1	m−1	PROPN
ejpam-4693	201	6	(	(	PUNCT
ejpam-4693	201	7	x	x	X
ejpam-4693	201	8	)	)	PUNCT
ejpam-4693	201	9	−	−	PROPN
ejpam-4693	201	10	1	1	NUM
ejpam-4693	201	11	−	−	PROPN
ejpam-4693	201	12	χm	χm	NOUN
ejpam-4693	201	13	(	(	PUNCT
ejpam-4693	201	14	m−	m−	PROPN
ejpam-4693	201	15	1	1	NUM
ejpam-4693	201	16	)	)	PUNCT
ejpam-4693	201	17	!	!	PUNCT
ejpam-4693	202	1	fi	fi	NOUN
ejpam-4693	202	2	(	(	PUNCT
ejpam-4693	202	3	x	x	X
ejpam-4693	202	4	)	)	PUNCT
ejpam-4693	202	5	−	−	ADP
ejpam-4693	202	6	∫	∫	PROPN
ejpam-4693	202	7	g(x	g(x	NOUN
ejpam-4693	202	8	)	)	PUNCT
ejpam-4693	202	9	f(x	f(x	PROPN
ejpam-4693	202	10	)	)	PUNCT
ejpam-4693	202	11			PROPN
ejpam-4693	202	12	n∑	n∑	NOUN
ejpam-4693	203	1	j=1	j=1	PROPN
ejpam-4693	203	2	kij(x	kij(x	PROPN
ejpam-4693	203	3	,	,	PUNCT
ejpam-4693	203	4	t)ti	t)ti	PROPN
ejpam-4693	203	5	,	,	PUNCT
ejpam-4693	203	6	m−1(t	m−1(t	PROPN
ejpam-4693	203	7	)	)	PUNCT
ejpam-4693	203	8	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-4693	203	9	q=0	q=0	PROPN
ejpam-4693	203	10	dt	dt	PUNCT
ejpam-4693	203	11			PROPN
ejpam-4693	203	12	,	,	PUNCT
ejpam-4693	203	13	=	=	PUNCT
ejpam-4693	204	1	∞∑	∞∑	PROPN
ejpam-4693	204	2	m=1	m=1	PROPN
ejpam-4693	204	3	ui	ui	NOUN
ejpam-4693	204	4	,	,	PUNCT
ejpam-4693	204	5	m−1	m−1	PROPN
ejpam-4693	204	6	(	(	PUNCT
ejpam-4693	204	7	x	x	X
ejpam-4693	204	8	)	)	PUNCT
ejpam-4693	204	9	−	−	PROPN
ejpam-4693	204	10	fi	fi	NOUN
ejpam-4693	204	11	(	(	PUNCT
ejpam-4693	204	12	x	x	NOUN
ejpam-4693	204	13	)	)	PUNCT
ejpam-4693	204	14	−	−	ADP
ejpam-4693	204	15	∫	∫	PROPN
ejpam-4693	204	16	g(x	g(x	NOUN
ejpam-4693	204	17	)	)	PUNCT
ejpam-4693	204	18	f(x	f(x	PROPN
ejpam-4693	204	19	)	)	PUNCT
ejpam-4693	204	20			PROPN
ejpam-4693	204	21	n∑	n∑	NOUN
ejpam-4693	204	22	j=1	j=1	PROPN
ejpam-4693	204	23	kij(x	kij(x	PROPN
ejpam-4693	204	24	,	,	PUNCT
ejpam-4693	204	25	t	t	PROPN
ejpam-4693	204	26	)	)	PUNCT
ejpam-4693	204	27	∞∑	∞∑	PROPN
ejpam-4693	204	28	m=1	m=1	PRON
ejpam-4693	204	29	ti	ti	NOUN
ejpam-4693	204	30	,	,	PUNCT
ejpam-4693	204	31	m−1(t	m−1(t	ADJ
ejpam-4693	204	32	)	)	PUNCT
ejpam-4693	204	33			NOUN
ejpam-4693	204	34	dt	dt	PROPN
ejpam-4693	204	35	,	,	PUNCT
ejpam-4693	204	36	=	=	SYM
ejpam-4693	204	37	ui	ui	PROPN
ejpam-4693	204	38	(	(	PUNCT
ejpam-4693	204	39	x	x	NOUN
ejpam-4693	204	40	)	)	PUNCT
ejpam-4693	205	1	−	−	PROPN
ejpam-4693	205	2	fi	fi	NOUN
ejpam-4693	205	3	(	(	PUNCT
ejpam-4693	205	4	x	x	NOUN
ejpam-4693	205	5	)	)	PUNCT
ejpam-4693	205	6	−	−	ADP
ejpam-4693	205	7	∫	∫	PROPN
ejpam-4693	205	8	g(x	g(x	NOUN
ejpam-4693	205	9	)	)	PUNCT
ejpam-4693	205	10	f(x	f(x	PROPN
ejpam-4693	205	11	)	)	PUNCT
ejpam-4693	205	12			PROPN
ejpam-4693	205	13	n∑	n∑	NOUN
ejpam-4693	205	14	j=1	j=1	NOUN
ejpam-4693	205	15	kij	kij	PROPN
ejpam-4693	205	16	(	(	PUNCT
ejpam-4693	205	17	x	x	NOUN
ejpam-4693	205	18	,	,	PUNCT
ejpam-4693	205	19	t)r	t)r	X
ejpam-4693	205	20	(	(	PUNCT
ejpam-4693	205	21	ui	ui	PROPN
ejpam-4693	205	22	(	(	PUNCT
ejpam-4693	205	23	t	t	PROPN
ejpam-4693	205	24	)	)	PUNCT
ejpam-4693	205	25	)	)	PUNCT
ejpam-4693	205	26			NOUN
ejpam-4693	205	27	dt	dt	PROPN
ejpam-4693	205	28	.	.	PROPN
ejpam-4693	206	1	4	4	X
ejpam-4693	206	2	.	.	X
ejpam-4693	206	3	genetic	genetic	ADJ
ejpam-4693	206	4	algorithm	algorithm	NOUN
ejpam-4693	206	5	(	(	PUNCT
ejpam-4693	206	6	ga	ga	PROPN
ejpam-4693	206	7	)	)	PUNCT
ejpam-4693	206	8	the	the	DET
ejpam-4693	206	9	genetic	genetic	ADJ
ejpam-4693	206	10	algorithm	algorithm	NOUN
ejpam-4693	206	11	is	be	AUX
ejpam-4693	206	12	a	a	DET
ejpam-4693	206	13	random	random	ADJ
ejpam-4693	206	14	search	search	NOUN
ejpam-4693	206	15	technique	technique	NOUN
ejpam-4693	206	16	used	use	VERB
ejpam-4693	206	17	to	to	PART
ejpam-4693	206	18	optimize	optimize	VERB
ejpam-4693	206	19	difficult	difficult	ADJ
ejpam-4693	206	20	problems	problem	NOUN
ejpam-4693	206	21	and	and	CCONJ
ejpam-4693	206	22	solve	solve	VERB
ejpam-4693	206	23	nonlinear	nonlinear	ADJ
ejpam-4693	206	24	systems	system	NOUN
ejpam-4693	206	25	of	of	ADP
ejpam-4693	206	26	equations	equation	NOUN
ejpam-4693	206	27	.	.	PUNCT
ejpam-4693	207	1	instead	instead	ADV
ejpam-4693	207	2	of	of	ADP
ejpam-4693	207	3	employing	employ	VERB
ejpam-4693	207	4	deterministic	deterministic	ADJ
ejpam-4693	207	5	principles	principle	NOUN
ejpam-4693	207	6	,	,	PUNCT
ejpam-4693	207	7	ga	ga	PROPN
ejpam-4693	207	8	makes	make	VERB
ejpam-4693	207	9	the	the	DET
ejpam-4693	207	10	use	use	NOUN
ejpam-4693	207	11	of	of	ADP
ejpam-4693	207	12	probabilistic	probabilistic	ADJ
ejpam-4693	207	13	transition	transition	NOUN
ejpam-4693	207	14	rules	rule	NOUN
ejpam-4693	207	15	and	and	CCONJ
ejpam-4693	207	16	manages	manage	VERB
ejpam-4693	207	17	a	a	DET
ejpam-4693	207	18	population	population	NOUN
ejpam-4693	207	19	of	of	ADP
ejpam-4693	207	20	alternative	alternative	ADJ
ejpam-4693	207	21	solutions	solution	NOUN
ejpam-4693	207	22	known	know	VERB
ejpam-4693	207	23	as	as	ADP
ejpam-4693	207	24	individuals	individual	NOUN
ejpam-4693	207	25	or	or	CCONJ
ejpam-4693	207	26	iteratively	iteratively	ADV
ejpam-4693	207	27	evolving	evolve	VERB
ejpam-4693	207	28	chromosomes	chromosome	NOUN
ejpam-4693	207	29	[	[	X
ejpam-4693	207	30	22	22	NUM
ejpam-4693	207	31	]	]	PUNCT
ejpam-4693	207	32	.	.	PUNCT
ejpam-4693	208	1	the	the	DET
ejpam-4693	208	2	iterations	iteration	NOUN
ejpam-4693	208	3	of	of	ADP
ejpam-4693	208	4	algorithm	algorithm	NOUN
ejpam-4693	208	5	are	be	AUX
ejpam-4693	208	6	known	know	VERB
ejpam-4693	208	7	as	as	ADP
ejpam-4693	208	8	”	"	PUNCT
ejpam-4693	208	9	generations	generation	NOUN
ejpam-4693	208	10	”	"	PUNCT
ejpam-4693	208	11	.	.	PUNCT
ejpam-4693	209	1	a	a	DET
ejpam-4693	209	2	fitness	fitness	NOUN
ejpam-4693	209	3	function	function	NOUN
ejpam-4693	209	4	and	and	CCONJ
ejpam-4693	209	5	genetic	genetic	ADJ
ejpam-4693	209	6	operators	operator	NOUN
ejpam-4693	209	7	like	like	ADP
ejpam-4693	209	8	reproduction	reproduction	NOUN
ejpam-4693	209	9	,	,	PUNCT
ejpam-4693	209	10	crossover	crossover	NOUN
ejpam-4693	209	11	,	,	PUNCT
ejpam-4693	209	12	and	and	CCONJ
ejpam-4693	209	13	mutation	mutation	NOUN
ejpam-4693	209	14	are	be	AUX
ejpam-4693	209	15	used	use	VERB
ejpam-4693	209	16	to	to	PART
ejpam-4693	209	17	mimic	mimic	VERB
ejpam-4693	209	18	how	how	SCONJ
ejpam-4693	209	19	solutions	solution	NOUN
ejpam-4693	209	20	evolve	evolve	VERB
ejpam-4693	209	21	[	[	X
ejpam-4693	209	22	21	21	NUM
ejpam-4693	209	23	]	]	PUNCT
ejpam-4693	209	24	.	.	PUNCT
ejpam-4693	210	1	the	the	DET
ejpam-4693	210	2	initial	initial	ADJ
ejpam-4693	210	3	population	population	NOUN
ejpam-4693	210	4	of	of	ADP
ejpam-4693	210	5	a	a	DET
ejpam-4693	210	6	genetic	genetic	ADJ
ejpam-4693	210	7	algorithm	algorithm	NOUN
ejpam-4693	210	8	,	,	PUNCT
ejpam-4693	210	9	as	as	SCONJ
ejpam-4693	210	10	shown	show	VERB
ejpam-4693	210	11	in	in	ADP
ejpam-4693	210	12	figure	figure	NOUN
ejpam-4693	210	13	1	1	NUM
ejpam-4693	210	14	,	,	PUNCT
ejpam-4693	210	15	is	be	AUX
ejpam-4693	210	16	often	often	ADV
ejpam-4693	210	17	random	random	ADJ
ejpam-4693	210	18	.	.	PUNCT
ejpam-4693	211	1	a	a	DET
ejpam-4693	211	2	chromosome	chromosome	NOUN
ejpam-4693	211	3	,	,	PUNCT
ejpam-4693	211	4	which	which	PRON
ejpam-4693	211	5	is	be	AUX
ejpam-4693	211	6	a	a	DET
ejpam-4693	211	7	binary	binary	ADJ
ejpam-4693	211	8	string	string	NOUN
ejpam-4693	211	9	or	or	CCONJ
ejpam-4693	211	10	a	a	DET
ejpam-4693	211	11	real	real	ADV
ejpam-4693	211	12	-	-	PUNCT
ejpam-4693	211	13	valued	value	VERB
ejpam-4693	211	14	number	number	NOUN
ejpam-4693	211	15	,	,	PUNCT
ejpam-4693	211	16	is	be	AUX
ejpam-4693	211	17	typically	typically	ADV
ejpam-4693	211	18	used	use	VERB
ejpam-4693	211	19	to	to	PART
ejpam-4693	211	20	represent	represent	VERB
ejpam-4693	211	21	this	this	DET
ejpam-4693	211	22	population	population	NOUN
ejpam-4693	211	23	(	(	PUNCT
ejpam-4693	211	24	mating	mate	VERB
ejpam-4693	211	25	pool	pool	NOUN
ejpam-4693	211	26	)	)	PUNCT
ejpam-4693	211	27	.	.	PUNCT
ejpam-4693	212	1	the	the	DET
ejpam-4693	212	2	objective	objective	ADJ
ejpam-4693	212	3	function	function	NOUN
ejpam-4693	212	4	,	,	PUNCT
ejpam-4693	212	5	which	which	PRON
ejpam-4693	212	6	provides	provide	VERB
ejpam-4693	212	7	each	each	DET
ejpam-4693	212	8	person	person	NOUN
ejpam-4693	212	9	a	a	DET
ejpam-4693	212	10	corresponding	corresponding	ADJ
ejpam-4693	212	11	number	number	NOUN
ejpam-4693	212	12	called	call	VERB
ejpam-4693	212	13	its	its	PRON
ejpam-4693	212	14	fitness	fitness	NOUN
ejpam-4693	212	15	,	,	PUNCT
ejpam-4693	212	16	measures	measure	NOUN
ejpam-4693	212	17	and	and	CCONJ
ejpam-4693	212	18	evaluates	evaluate	VERB
ejpam-4693	212	19	the	the	DET
ejpam-4693	212	20	individual	individual	ADJ
ejpam-4693	212	21	performance	performance	NOUN
ejpam-4693	212	22	.	.	PUNCT
ejpam-4693	213	1	the	the	DET
ejpam-4693	213	2	objective	objective	ADJ
ejpam-4693	213	3	function	function	NOUN
ejpam-4693	213	4	,	,	PUNCT
ejpam-4693	213	5	which	which	PRON
ejpam-4693	213	6	provides	provide	VERB
ejpam-4693	213	7	each	each	DET
ejpam-4693	213	8	person	person	NOUN
ejpam-4693	213	9	a	a	DET
ejpam-4693	213	10	corresponding	corresponding	ADJ
ejpam-4693	213	11	number	number	NOUN
ejpam-4693	213	12	called	call	VERB
ejpam-4693	213	13	its	its	PRON
ejpam-4693	213	14	fitness	fitness	NOUN
ejpam-4693	213	15	,	,	PUNCT
ejpam-4693	213	16	measures	measure	NOUN
ejpam-4693	213	17	and	and	CCONJ
ejpam-4693	213	18	evaluates	evaluate	VERB
ejpam-4693	213	19	the	the	DET
ejpam-4693	213	20	individual	individual	ADJ
ejpam-4693	213	21	performance	performance	NOUN
ejpam-4693	213	22	.	.	PUNCT
ejpam-4693	214	1	each	each	DET
ejpam-4693	214	2	chromosome	chromosome	NOUN
ejpam-4693	214	3	’s	’s	PART
ejpam-4693	214	4	fitness	fitness	NOUN
ejpam-4693	214	5	is	be	AUX
ejpam-4693	214	6	evaluated	evaluate	VERB
ejpam-4693	214	7	,	,	PUNCT
ejpam-4693	214	8	as	as	ADV
ejpam-4693	214	9	well	well	ADV
ejpam-4693	214	10	as	as	ADP
ejpam-4693	214	11	a	a	DET
ejpam-4693	214	12	survival	survival	NOUN
ejpam-4693	214	13	of	of	ADP
ejpam-4693	214	14	the	the	DET
ejpam-4693	214	15	fittest	fit	ADJ
ejpam-4693	214	16	approach	approach	NOUN
ejpam-4693	214	17	is	be	AUX
ejpam-4693	214	18	used	use	VERB
ejpam-4693	214	19	.	.	PUNCT
ejpam-4693	215	1	the	the	DET
ejpam-4693	215	2	fitness	fitness	NOUN
ejpam-4693	215	3	of	of	ADP
ejpam-4693	215	4	each	each	DET
ejpam-4693	215	5	chromosome	chromosome	NOUN
ejpam-4693	215	6	is	be	AUX
ejpam-4693	215	7	evaluated	evaluate	VERB
ejpam-4693	215	8	in	in	ADP
ejpam-4693	215	9	this	this	DET
ejpam-4693	215	10	work	work	NOUN
ejpam-4693	215	11	using	use	VERB
ejpam-4693	215	12	the	the	DET
ejpam-4693	215	13	residual	residual	ADJ
ejpam-4693	215	14	error	error	NOUN
ejpam-4693	215	15	value	value	NOUN
ejpam-4693	215	16	.	.	PUNCT
ejpam-4693	216	1	a	a	DET
ejpam-4693	216	2	genetic	genetic	ADJ
ejpam-4693	216	3	algorithm	algorithm	NOUN
ejpam-4693	216	4	primarily	primarily	ADV
ejpam-4693	216	5	performs	perform	VERB
ejpam-4693	216	6	three	three	NUM
ejpam-4693	216	7	operations	operation	NOUN
ejpam-4693	216	8	:	:	PUNCT
ejpam-4693	216	9	reproduction	reproduction	NOUN
ejpam-4693	216	10	,	,	PUNCT
ejpam-4693	216	11	crossover	crossover	NOUN
ejpam-4693	216	12	,	,	PUNCT
ejpam-4693	216	13	and	and	CCONJ
ejpam-4693	216	14	mutation	mutation	NOUN
ejpam-4693	216	15	.	.	PUNCT
ejpam-4693	217	1	figure	figure	NOUN
ejpam-4693	217	2	1	1	NUM
ejpam-4693	217	3	describes	describe	VERB
ejpam-4693	217	4	the	the	DET
ejpam-4693	217	5	ga	ga	PROPN
ejpam-4693	217	6	operation	operation	NOUN
ejpam-4693	217	7	sequences	sequence	NOUN
ejpam-4693	217	8	in	in	ADP
ejpam-4693	217	9	detail	detail	NOUN
ejpam-4693	217	10	.	.	PUNCT
ejpam-4693	218	1	4.1	4.1	NUM
ejpam-4693	218	2	.	.	PUNCT
ejpam-4693	218	3	basic	basic	ADJ
ejpam-4693	218	4	steps	step	NOUN
ejpam-4693	218	5	of	of	ADP
ejpam-4693	218	6	genetic	genetic	ADJ
ejpam-4693	218	7	algorithm	algorithm	NOUN
ejpam-4693	218	8	[	[	X
ejpam-4693	218	9	20	20	NUM
ejpam-4693	218	10	]	]	SYM
ejpam-4693	218	11	step	step	NOUN
ejpam-4693	218	12	1	1	NUM
ejpam-4693	218	13	:	:	PUNCT
ejpam-4693	218	14	use	use	VERB
ejpam-4693	218	15	a	a	DET
ejpam-4693	218	16	population	population	NOUN
ejpam-4693	218	17	of	of	ADP
ejpam-4693	218	18	random	random	ADJ
ejpam-4693	218	19	solutions	solution	NOUN
ejpam-4693	218	20	to	to	PART
ejpam-4693	218	21	initialize	initialize	VERB
ejpam-4693	218	22	the	the	DET
ejpam-4693	218	23	parameter	parameter	NOUN
ejpam-4693	218	24	,	,	PUNCT
ejpam-4693	218	25	including	include	VERB
ejpam-4693	218	26	crossover	crossover	NOUN
ejpam-4693	218	27	rate	rate	NOUN
ejpam-4693	218	28	,	,	PUNCT
ejpam-4693	218	29	mutation	mutation	NOUN
ejpam-4693	218	30	rate	rate	NOUN
ejpam-4693	218	31	,	,	PUNCT
ejpam-4693	218	32	number	number	NOUN
ejpam-4693	218	33	of	of	ADP
ejpam-4693	218	34	clusters	cluster	NOUN
ejpam-4693	218	35	,	,	PUNCT
ejpam-4693	218	36	and	and	CCONJ
ejpam-4693	218	37	generations	generation	NOUN
ejpam-4693	218	38	.	.	PUNCT
ejpam-4693	219	1	discover	discover	VERB
ejpam-4693	219	2	the	the	DET
ejpam-4693	219	3	coding	code	VERB
ejpam-4693	219	4	mode	mode	NOUN
ejpam-4693	219	5	.	.	PUNCT
ejpam-4693	220	1	rasha	rasha	PROPN
ejpam-4693	220	2	f.	f.	PROPN
ejpam-4693	220	3	ahmed	ahmed	PROPN
ejpam-4693	220	4	,	,	PUNCT
ejpam-4693	220	5	w.	w.	PROPN
ejpam-4693	220	6	al	al	PROPN
ejpam-4693	220	7	-	-	PUNCT
ejpam-4693	220	8	hayani	hayani	PROPN
ejpam-4693	220	9	,	,	PUNCT
ejpam-4693	220	10	a.	a.	PROPN
ejpam-4693	220	11	y.	y.	PROPN
ejpam-4693	220	12	al	al	PROPN
ejpam-4693	220	13	-	-	PUNCT
ejpam-4693	220	14	bayati	bayati	PROPN
ejpam-4693	220	15	/	/	SYM
ejpam-4693	220	16	eur	eur	PROPN
ejpam-4693	220	17	.	.	PUNCT
ejpam-4693	221	1	j.	j.	PROPN
ejpam-4693	221	2	pure	pure	PROPN
ejpam-4693	221	3	appl	appl	PROPN
ejpam-4693	221	4	.	.	PROPN
ejpam-4693	221	5	math	math	PROPN
ejpam-4693	221	6	,	,	PUNCT
ejpam-4693	221	7	16	16	NUM
ejpam-4693	221	8	(	(	PUNCT
ejpam-4693	221	9	2	2	NUM
ejpam-4693	221	10	)	)	PUNCT
ejpam-4693	221	11	(	(	PUNCT
ejpam-4693	221	12	2023	2023	NUM
ejpam-4693	221	13	)	)	PUNCT
ejpam-4693	221	14	,	,	PUNCT
ejpam-4693	221	15	864	864	NUM
ejpam-4693	221	16	-	-	SYM
ejpam-4693	221	17	892	892	NUM
ejpam-4693	221	18	872	872	NUM
ejpam-4693	221	19	figure	figure	NOUN
ejpam-4693	221	20	1	1	NUM
ejpam-4693	221	21	:	:	PUNCT
ejpam-4693	221	22	flowchart	flowchart	NOUN
ejpam-4693	221	23	of	of	ADP
ejpam-4693	221	24	genetic	genetic	ADJ
ejpam-4693	221	25	algorithm	algorithm	NOUN
ejpam-4693	221	26	.	.	PUNCT
ejpam-4693	222	1	step	step	NOUN
ejpam-4693	222	2	2	2	NUM
ejpam-4693	222	3	:	:	PUNCT
ejpam-4693	222	4	calculate	calculate	VERB
ejpam-4693	222	5	and	and	CCONJ
ejpam-4693	222	6	assess	assess	VERB
ejpam-4693	222	7	the	the	DET
ejpam-4693	222	8	fitness	fitness	NOUN
ejpam-4693	222	9	function	function	NOUN
ejpam-4693	222	10	’s	’s	PART
ejpam-4693	222	11	value	value	NOUN
ejpam-4693	222	12	.	.	PUNCT
ejpam-4693	223	1	step	step	NOUN
ejpam-4693	223	2	3	3	NUM
ejpam-4693	223	3	:	:	PUNCT
ejpam-4693	223	4	continue	continue	VERB
ejpam-4693	223	5	with	with	ADP
ejpam-4693	223	6	the	the	DET
ejpam-4693	223	7	crossover	crossover	NOUN
ejpam-4693	223	8	and	and	CCONJ
ejpam-4693	223	9	mutation	mutation	NOUN
ejpam-4693	223	10	process	process	NOUN
ejpam-4693	223	11	to	to	PART
ejpam-4693	223	12	create	create	VERB
ejpam-4693	223	13	the	the	DET
ejpam-4693	223	14	new	new	ADJ
ejpam-4693	223	15	cluster	cluster	NOUN
ejpam-4693	223	16	.	.	PUNCT
ejpam-4693	224	1	step	step	NOUN
ejpam-4693	224	2	4	4	NUM
ejpam-4693	224	3	:	:	PUNCT
ejpam-4693	224	4	repetition	repetition	NOUN
ejpam-4693	224	5	of	of	ADP
ejpam-4693	224	6	step	step	NOUN
ejpam-4693	224	7	2	2	NUM
ejpam-4693	224	8	is	be	AUX
ejpam-4693	224	9	necessary	necessary	ADJ
ejpam-4693	224	10	to	to	PART
ejpam-4693	224	11	get	get	VERB
ejpam-4693	224	12	the	the	DET
ejpam-4693	224	13	best	good	ADJ
ejpam-4693	224	14	result	result	NOUN
ejpam-4693	224	15	.	.	PUNCT
ejpam-4693	225	1	here	here	ADV
ejpam-4693	225	2	,	,	PUNCT
ejpam-4693	225	3	we	we	PRON
ejpam-4693	225	4	use	use	VERB
ejpam-4693	225	5	the	the	DET
ejpam-4693	225	6	genetic	genetic	ADJ
ejpam-4693	225	7	algorithm	algorithm	NOUN
ejpam-4693	225	8	to	to	PART
ejpam-4693	225	9	improve	improve	VERB
ejpam-4693	225	10	the	the	DET
ejpam-4693	225	11	results	result	NOUN
ejpam-4693	225	12	of	of	ADP
ejpam-4693	225	13	using	use	VERB
ejpam-4693	225	14	the	the	DET
ejpam-4693	225	15	ham	ham	NOUN
ejpam-4693	225	16	in	in	ADP
ejpam-4693	225	17	the	the	DET
ejpam-4693	225	18	following	following	ADJ
ejpam-4693	225	19	ways	way	NOUN
ejpam-4693	225	20	:	:	PUNCT
ejpam-4693	225	21	algorithm	algorithm	NOUN
ejpam-4693	225	22	1	1	NUM
ejpam-4693	225	23	genetic	genetic	ADJ
ejpam-4693	225	24	algorithm	algorithm	NOUN
ejpam-4693	225	25	for	for	ADP
ejpam-4693	225	26	the	the	DET
ejpam-4693	225	27	best	good	ADJ
ejpam-4693	225	28	parameters	parameter	NOUN
ejpam-4693	225	29	h	h	NOUN
ejpam-4693	225	30	and	and	CCONJ
ejpam-4693	225	31	λ1	λ1	ADJ
ejpam-4693	225	32	,	,	PUNCT
ejpam-4693	225	33	λ2	λ2	NOUN
ejpam-4693	225	34	in	in	ADP
ejpam-4693	225	35	system	system	NOUN
ejpam-4693	225	36	of	of	ADP
ejpam-4693	225	37	volterra	volterra	PROPN
ejpam-4693	225	38	integral	integral	ADJ
ejpam-4693	225	39	equations	equation	NOUN
ejpam-4693	225	40	input	input	NOUN
ejpam-4693	225	41	:	:	PUNCT
ejpam-4693	225	42	set	set	VERB
ejpam-4693	225	43	number	number	NOUN
ejpam-4693	225	44	of	of	ADP
ejpam-4693	225	45	variables	variable	NOUN
ejpam-4693	225	46	(	(	PUNCT
ejpam-4693	225	47	var	var	NOUN
ejpam-4693	225	48	)	)	PUNCT
ejpam-4693	225	49	,	,	PUNCT
ejpam-4693	225	50	set	set	VERB
ejpam-4693	225	51	upper	upper	ADJ
ejpam-4693	225	52	and	and	CCONJ
ejpam-4693	225	53	lower	low	ADJ
ejpam-4693	225	54	limit	limit	NOUN
ejpam-4693	225	55	for	for	ADP
ejpam-4693	225	56	each	each	DET
ejpam-4693	225	57	variable	variable	NOUN
ejpam-4693	225	58	(	(	PUNCT
ejpam-4693	225	59	ub	ub	PROPN
ejpam-4693	225	60	,	,	PUNCT
ejpam-4693	225	61	lb	lb	NOUN
ejpam-4693	225	62	)	)	PUNCT
ejpam-4693	225	63	,	,	PUNCT
ejpam-4693	225	64	set	set	VERB
ejpam-4693	225	65	size	size	NOUN
ejpam-4693	225	66	of	of	ADP
ejpam-4693	225	67	population	population	NOUN
ejpam-4693	225	68	(	(	PUNCT
ejpam-4693	225	69	a	a	NOUN
ejpam-4693	225	70	)	)	PUNCT
ejpam-4693	225	71	,	,	PUNCT
ejpam-4693	225	72	set	set	VERB
ejpam-4693	225	73	rate	rate	NOUN
ejpam-4693	225	74	of	of	ADP
ejpam-4693	225	75	crossover	crossover	NOUN
ejpam-4693	225	76	(	(	PUNCT
ejpam-4693	225	77	rc	rc	PROPN
ejpam-4693	225	78	)	)	PUNCT
ejpam-4693	225	79	,	,	PUNCT
ejpam-4693	225	80	set	set	VERB
ejpam-4693	225	81	rate	rate	NOUN
ejpam-4693	225	82	of	of	ADP
ejpam-4693	225	83	mutation	mutation	NOUN
ejpam-4693	225	84	(	(	PUNCT
ejpam-4693	225	85	rm	rm	NOUN
ejpam-4693	225	86	)	)	PUNCT
ejpam-4693	225	87	,	,	PUNCT
ejpam-4693	225	88	set	set	VERB
ejpam-4693	225	89	number	number	NOUN
ejpam-4693	225	90	of	of	ADP
ejpam-4693	225	91	iterations	iteration	NOUN
ejpam-4693	225	92	(	(	PUNCT
ejpam-4693	225	93	maxiteration	maxiteration	NOUN
ejpam-4693	225	94	)	)	PUNCT
ejpam-4693	225	95	,	,	PUNCT
ejpam-4693	225	96	set	set	VERB
ejpam-4693	225	97	fitness	fitness	NOUN
ejpam-4693	225	98	function	function	NOUN
ejpam-4693	225	99	name	name	NOUN
ejpam-4693	225	100	output	output	NOUN
ejpam-4693	225	101	:	:	PUNCT
ejpam-4693	225	102	solution	solution	NOUN
ejpam-4693	225	103	λ1	λ1	ADJ
ejpam-4693	225	104	,	,	PUNCT
ejpam-4693	225	105	λ2	λ2	NOUN
ejpam-4693	225	106	and	and	CCONJ
ejpam-4693	225	107	h	h	NOUN
ejpam-4693	225	108	initialization	initialization	NOUN
ejpam-4693	225	109	1	1	NUM
ejpam-4693	225	110	:	:	PUNCT
ejpam-4693	225	111	generate	generate	VERB
ejpam-4693	225	112	individual	individual	ADJ
ejpam-4693	225	113	feasible	feasible	ADJ
ejpam-4693	225	114	solutions	solution	NOUN
ejpam-4693	225	115	randomly	randomly	ADV
ejpam-4693	225	116	with	with	ADP
ejpam-4693	225	117	limit	limit	NOUN
ejpam-4693	225	118	boundary	boundary	ADJ
ejpam-4693	225	119	2	2	NUM
ejpam-4693	225	120	:	:	PUNCT
ejpam-4693	225	121	save	save	VERB
ejpam-4693	225	122	them	they	PRON
ejpam-4693	225	123	in	in	ADP
ejpam-4693	225	124	the	the	DET
ejpam-4693	225	125	population	population	NOUN
ejpam-4693	225	126	p	p	X
ejpam-4693	225	127	;	;	PUNCT
ejpam-4693	225	128	3	3	NUM
ejpam-4693	225	129	:	:	PUNCT
ejpam-4693	225	130	find	find	VERB
ejpam-4693	225	131	fitness	fitness	NOUN
ejpam-4693	225	132	value	value	NOUN
ejpam-4693	225	133	for	for	ADP
ejpam-4693	225	134	each	each	DET
ejpam-4693	225	135	population	population	NOUN
ejpam-4693	225	136	f	f	PROPN
ejpam-4693	225	137	loop	loop	PROPN
ejpam-4693	225	138	until	until	ADP
ejpam-4693	225	139	the	the	DET
ejpam-4693	225	140	terminal	terminal	ADJ
ejpam-4693	225	141	condition	condition	NOUN
ejpam-4693	225	142	4	4	NUM
ejpam-4693	225	143	:	:	PUNCT
ejpam-4693	225	144	for	for	ADP
ejpam-4693	225	145	i	i	PRON
ejpam-4693	225	146	=	=	SYM
ejpam-4693	225	147	1	1	NUM
ejpam-4693	225	148	to	to	ADP
ejpam-4693	225	149	max	max	PROPN
ejpam-4693	225	150	iteration	iteration	PROPN
ejpam-4693	225	151	do	do	AUX
ejpam-4693	225	152	,	,	PUNCT
ejpam-4693	225	153	elitism	elitism	NOUN
ejpam-4693	225	154	based	base	VERB
ejpam-4693	225	155	selection	selection	NOUN
ejpam-4693	225	156	using	use	VERB
ejpam-4693	225	157	rank	rank	NOUN
ejpam-4693	225	158	selection	selection	NOUN
ejpam-4693	225	159	5	5	NUM
ejpam-4693	225	160	:	:	PUNCT
ejpam-4693	225	161	fitness	fitness	NOUN
ejpam-4693	225	162	=	=	SYM
ejpam-4693	226	1	sort	sort	NOUN
ejpam-4693	226	2	individual	individual	NOUN
ejpam-4693	226	3	descending	descend	VERB
ejpam-4693	226	4	to	to	PART
ejpam-4693	226	5	find	find	VERB
ejpam-4693	226	6	minimum	minimum	ADJ
ejpam-4693	226	7	fitness	fitness	NOUN
ejpam-4693	226	8	value	value	NOUN
ejpam-4693	226	9	.	.	PUNCT
ejpam-4693	227	1	6	6	NUM
ejpam-4693	227	2	:	:	PUNCT
ejpam-4693	227	3	select	select	VERB
ejpam-4693	227	4	the	the	DET
ejpam-4693	227	5	best	good	ADJ
ejpam-4693	227	6	rc	rc	PROPN
ejpam-4693	227	7	solutions	solution	NOUN
ejpam-4693	227	8	in	in	ADP
ejpam-4693	227	9	pop1	pop1	NOUN
ejpam-4693	227	10	and	and	CCONJ
ejpam-4693	227	11	save	save	VERB
ejpam-4693	227	12	them	they	PRON
ejpam-4693	227	13	in	in	ADP
ejpam-4693	227	14	popt	popt	NOUN
ejpam-4693	227	15	according	accord	VERB
ejpam-4693	227	16	to	to	ADP
ejpam-4693	227	17	fitness	fitness	NOUN
ejpam-4693	227	18	;	;	PUNCT
ejpam-4693	227	19	7	7	NUM
ejpam-4693	227	20	:	:	PUNCT
ejpam-4693	227	21	end	end	VERB
ejpam-4693	227	22	for	for	ADP
ejpam-4693	227	23	rasha	rasha	PROPN
ejpam-4693	227	24	f.	f.	PROPN
ejpam-4693	227	25	ahmed	ahmed	PROPN
ejpam-4693	227	26	,	,	PUNCT
ejpam-4693	227	27	w.	w.	PROPN
ejpam-4693	227	28	al	al	PROPN
ejpam-4693	227	29	-	-	PUNCT
ejpam-4693	227	30	hayani	hayani	PROPN
ejpam-4693	227	31	,	,	PUNCT
ejpam-4693	227	32	a.	a.	PROPN
ejpam-4693	227	33	y.	y.	PROPN
ejpam-4693	227	34	al	al	PROPN
ejpam-4693	227	35	-	-	PUNCT
ejpam-4693	227	36	bayati	bayati	PROPN
ejpam-4693	227	37	/	/	SYM
ejpam-4693	227	38	eur	eur	PROPN
ejpam-4693	227	39	.	.	PUNCT
ejpam-4693	228	1	j.	j.	PROPN
ejpam-4693	228	2	pure	pure	PROPN
ejpam-4693	228	3	appl	appl	PROPN
ejpam-4693	228	4	.	.	PROPN
ejpam-4693	228	5	math	math	PROPN
ejpam-4693	228	6	,	,	PUNCT
ejpam-4693	228	7	16	16	NUM
ejpam-4693	228	8	(	(	PUNCT
ejpam-4693	228	9	2	2	NUM
ejpam-4693	228	10	)	)	PUNCT
ejpam-4693	228	11	(	(	PUNCT
ejpam-4693	228	12	2023	2023	NUM
ejpam-4693	228	13	)	)	PUNCT
ejpam-4693	228	14	,	,	PUNCT
ejpam-4693	228	15	864	864	NUM
ejpam-4693	228	16	-	-	SYM
ejpam-4693	228	17	892	892	NUM
ejpam-4693	228	18	873	873	NUM
ejpam-4693	228	19	crossover	crossover	ADP
ejpam-4693	228	20	8	8	NUM
ejpam-4693	228	21	:	:	PUNCT
ejpam-4693	228	22	number	number	NOUN
ejpam-4693	228	23	of	of	ADP
ejpam-4693	228	24	crossover	crossover	NOUN
ejpam-4693	228	25	nc	nc	PROPN
ejpam-4693	228	26	=	=	PUNCT
ejpam-4693	228	27	(	(	PUNCT
ejpam-4693	228	28	α−	α−	ADP
ejpam-4693	228	29	ne)/2	ne)/2	NOUN
ejpam-4693	228	30	9	9	NUM
ejpam-4693	228	31	:	:	PUNCT
ejpam-4693	228	32	for	for	ADP
ejpam-4693	228	33	j	j	PROPN
ejpam-4693	228	34	=	=	SYM
ejpam-4693	228	35	1	1	NUM
ejpam-4693	228	36	to	to	PART
ejpam-4693	228	37	nc	nc	PROPN
ejpam-4693	228	38	do	do	AUX
ejpam-4693	228	39	10	10	NUM
ejpam-4693	228	40	:	:	PUNCT
ejpam-4693	228	41	randomly	randomly	ADV
ejpam-4693	228	42	select	select	VERB
ejpam-4693	228	43	two	two	NUM
ejpam-4693	228	44	solutions	solution	NOUN
ejpam-4693	228	45	xa	xa	PROPN
ejpam-4693	228	46	and	and	CCONJ
ejpam-4693	228	47	xb	xb	PROPN
ejpam-4693	228	48	from	from	ADP
ejpam-4693	228	49	popi	popi	PROPN
ejpam-4693	228	50	;	;	PUNCT
ejpam-4693	228	51	11	11	NUM
ejpam-4693	228	52	:	:	PUNCT
ejpam-4693	228	53	generate	generate	VERB
ejpam-4693	228	54	xc	xc	PROPN
ejpam-4693	228	55	and	and	CCONJ
ejpam-4693	228	56	xd	xd	INTJ
ejpam-4693	228	57	by	by	ADP
ejpam-4693	228	58	arithmetic	arithmetic	ADJ
ejpam-4693	228	59	crossover	crossover	NOUN
ejpam-4693	228	60	to	to	ADP
ejpam-4693	228	61	xa	xa	PROPN
ejpam-4693	228	62	and	and	CCONJ
ejpam-4693	228	63	xb	xb	PROPN
ejpam-4693	228	64	;	;	PUNCT
ejpam-4693	228	65	12	12	NUM
ejpam-4693	228	66	:	:	PUNCT
ejpam-4693	228	67	save	save	AUX
ejpam-4693	228	68	xc	xc	PROPN
ejpam-4693	228	69	and	and	CCONJ
ejpam-4693	228	70	xd	xd	INTJ
ejpam-4693	228	71	to	to	PART
ejpam-4693	228	72	popt	popt	VERB
ejpam-4693	228	73	;	;	PUNCT
ejpam-4693	228	74	13	13	NUM
ejpam-4693	228	75	:	:	PUNCT
ejpam-4693	228	76	end	end	VERB
ejpam-4693	228	77	for	for	ADP
ejpam-4693	228	78	mutation	mutation	NOUN
ejpam-4693	228	79	14	14	NUM
ejpam-4693	228	80	:	:	PUNCT
ejpam-4693	228	81	for	for	ADP
ejpam-4693	228	82	j	j	PROPN
ejpam-4693	228	83	=	=	SYM
ejpam-4693	228	84	1	1	NUM
ejpam-4693	228	85	to	to	PART
ejpam-4693	228	86	ne	ne	VERB
ejpam-4693	228	87	do	do	VERB
ejpam-4693	228	88	15	15	NUM
ejpam-4693	228	89	:	:	PUNCT
ejpam-4693	228	90	select	select	VERB
ejpam-4693	228	91	a	a	DET
ejpam-4693	228	92	solution	solution	NOUN
ejpam-4693	228	93	xj	xj	PROPN
ejpam-4693	228	94	from	from	ADP
ejpam-4693	228	95	popt	popt	NOUN
ejpam-4693	228	96	;	;	PUNCT
ejpam-4693	228	97	16	16	NUM
ejpam-4693	228	98	:	:	PUNCT
ejpam-4693	228	99	mutate	mutate	ADJ
ejpam-4693	228	100	random	random	ADJ
ejpam-4693	228	101	resetting	resetting	NOUN
ejpam-4693	228	102	of	of	ADP
ejpam-4693	228	103	xj	xj	NOUN
ejpam-4693	228	104	under	under	ADP
ejpam-4693	228	105	the	the	DET
ejpam-4693	228	106	rate	rate	NOUN
ejpam-4693	228	107	rm	rm	NOUN
ejpam-4693	228	108	and	and	CCONJ
ejpam-4693	228	109	generate	generate	VERB
ejpam-4693	228	110	a	a	DET
ejpam-4693	228	111	new	new	ADJ
ejpam-4693	228	112	solution	solution	NOUN
ejpam-4693	228	113	x	x	NOUN
ejpam-4693	228	114	′	′	NUM
ejpam-4693	228	115	j	j	NOUN
ejpam-4693	228	116	;	;	PUNCT
ejpam-4693	229	1	17	17	NUM
ejpam-4693	229	2	:	:	PUNCT
ejpam-4693	229	3	if	if	SCONJ
ejpam-4693	229	4	thenx	thenx	NOUN
ejpam-4693	229	5	′	′	VERB
ejpam-4693	230	1	j	j	PROPN
ejpam-4693	230	2	is	be	AUX
ejpam-4693	230	3	unfeasible	unfeasible	ADJ
ejpam-4693	230	4	18	18	NUM
ejpam-4693	230	5	:	:	PUNCT
ejpam-4693	230	6	update	update	NOUN
ejpam-4693	230	7	x	x	NOUN
ejpam-4693	230	8	′	′	NUM
ejpam-4693	230	9	j	j	NOUN
ejpam-4693	230	10	with	with	ADP
ejpam-4693	230	11	a	a	DET
ejpam-4693	230	12	feasible	feasible	ADJ
ejpam-4693	230	13	solution	solution	NOUN
ejpam-4693	230	14	by	by	ADP
ejpam-4693	230	15	repairing	repair	VERB
ejpam-4693	230	16	x	x	X
ejpam-4693	230	17	′	′	NUM
ejpam-4693	230	18	j	j	NOUN
ejpam-4693	230	19	;	;	PUNCT
ejpam-4693	230	20	19	19	NUM
ejpam-4693	230	21	:	:	PUNCT
ejpam-4693	230	22	end	end	VERB
ejpam-4693	230	23	if	if	SCONJ
ejpam-4693	230	24	20	20	NUM
ejpam-4693	230	25	:	:	PUNCT
ejpam-4693	230	26	update	update	NOUN
ejpam-4693	230	27	xj	xj	PROPN
ejpam-4693	230	28	with	with	ADP
ejpam-4693	230	29	x	x	PROPN
ejpam-4693	230	30	′	′	NUM
ejpam-4693	230	31	j	j	NOUN
ejpam-4693	230	32	in	in	ADP
ejpam-4693	230	33	popt	popt	NOUN
ejpam-4693	230	34	;	;	PUNCT
ejpam-4693	230	35	21	21	NUM
ejpam-4693	230	36	:	:	PUNCT
ejpam-4693	230	37	end	end	VERB
ejpam-4693	230	38	for	for	ADP
ejpam-4693	230	39	updating	update	VERB
ejpam-4693	230	40	22	22	NUM
ejpam-4693	230	41	:	:	PUNCT
ejpam-4693	230	42	update	update	NOUN
ejpam-4693	230	43	popi	popi	NOUN
ejpam-4693	230	44	+	+	CCONJ
ejpam-4693	230	45	1=	1=	NUM
ejpam-4693	230	46	popi	popi	X
ejpam-4693	230	47	+	+	CCONJ
ejpam-4693	230	48	popt	popt	VERB
ejpam-4693	230	49	;	;	PUNCT
ejpam-4693	230	50	returning	return	VERB
ejpam-4693	230	51	the	the	DET
ejpam-4693	230	52	best	good	ADJ
ejpam-4693	230	53	solution	solution	NOUN
ejpam-4693	230	54	23	23	NUM
ejpam-4693	230	55	:	:	PUNCT
ejpam-4693	230	56	return	return	VERB
ejpam-4693	230	57	the	the	DET
ejpam-4693	230	58	best	good	ADJ
ejpam-4693	230	59	solution	solution	NOUN
ejpam-4693	230	60	x	x	PUNCT
ejpam-4693	230	61	in	in	ADP
ejpam-4693	230	62	pop	pop	NOUN
ejpam-4693	230	63	5	5	NUM
ejpam-4693	230	64	.	.	PUNCT
ejpam-4693	230	65	applications	application	NOUN
ejpam-4693	230	66	and	and	CCONJ
ejpam-4693	230	67	numerical	numerical	ADJ
ejpam-4693	230	68	results	result	NOUN
ejpam-4693	230	69	in	in	ADP
ejpam-4693	230	70	this	this	DET
ejpam-4693	230	71	section	section	NOUN
ejpam-4693	230	72	,	,	PUNCT
ejpam-4693	230	73	the	the	DET
ejpam-4693	230	74	ham	ham	NOUN
ejpam-4693	230	75	applied	apply	VERB
ejpam-4693	230	76	to	to	PART
ejpam-4693	230	77	obtain	obtain	VERB
ejpam-4693	230	78	an	an	DET
ejpam-4693	230	79	approximate	approximate	ADJ
ejpam-4693	230	80	-	-	PUNCT
ejpam-4693	230	81	exact	exact	ADJ
ejpam-4693	230	82	solution	solution	NOUN
ejpam-4693	230	83	for	for	ADP
ejpam-4693	230	84	nlsvies	nlsvie	NOUN
ejpam-4693	230	85	is	be	AUX
ejpam-4693	230	86	displayed	display	VERB
ejpam-4693	230	87	in	in	ADP
ejpam-4693	230	88	the	the	DET
ejpam-4693	230	89	following	follow	VERB
ejpam-4693	230	90	three	three	NUM
ejpam-4693	230	91	problems	problem	NOUN
ejpam-4693	230	92	.	.	PUNCT
ejpam-4693	231	1	to	to	PART
ejpam-4693	231	2	show	show	VERB
ejpam-4693	231	3	the	the	DET
ejpam-4693	231	4	high	high	ADJ
ejpam-4693	231	5	accuracy	accuracy	NOUN
ejpam-4693	231	6	of	of	ADP
ejpam-4693	231	7	the	the	DET
ejpam-4693	231	8	solution	solution	NOUN
ejpam-4693	231	9	results	result	NOUN
ejpam-4693	231	10	compared	compare	VERB
ejpam-4693	231	11	with	with	ADP
ejpam-4693	231	12	the	the	DET
ejpam-4693	231	13	exact	exact	ADJ
ejpam-4693	231	14	solution	solution	NOUN
ejpam-4693	231	15	,	,	PUNCT
ejpam-4693	231	16	the	the	DET
ejpam-4693	231	17	maximum	maximum	ADJ
ejpam-4693	231	18	absolute	absolute	ADJ
ejpam-4693	231	19	errors	error	NOUN
ejpam-4693	231	20	(	(	PUNCT
ejpam-4693	231	21	mae	mae	PROPN
ejpam-4693	231	22	)	)	PUNCT
ejpam-4693	231	23	are	be	AUX
ejpam-4693	231	24	defined	define	VERB
ejpam-4693	231	25	as	as	ADP
ejpam-4693	231	26	:	:	PUNCT
ejpam-4693	231	27	∥	∥	X
ejpam-4693	231	28	·	·	PUNCT
ejpam-4693	231	29	∥∞=∥	∥∞=∥	PROPN
ejpam-4693	231	30	yexact	yexact	NOUN
ejpam-4693	231	31	(	(	PUNCT
ejpam-4693	231	32	xi	xi	PROPN
ejpam-4693	231	33	)	)	PUNCT
ejpam-4693	231	34	−	−	PROPN
ejpam-4693	231	35	ϕn	ϕn	INTJ
ejpam-4693	231	36	(	(	PUNCT
ejpam-4693	231	37	xi	xi	NOUN
ejpam-4693	231	38	)	)	PUNCT
ejpam-4693	231	39	∥∞	∥∞	ADJ
ejpam-4693	231	40	moreover	moreover	ADV
ejpam-4693	231	41	,	,	PUNCT
ejpam-4693	231	42	giving	give	VERB
ejpam-4693	231	43	the	the	DET
ejpam-4693	231	44	maximum	maximum	ADJ
ejpam-4693	231	45	residual	residual	ADJ
ejpam-4693	231	46	error	error	NOUN
ejpam-4693	231	47	(	(	PUNCT
ejpam-4693	231	48	mre	mre	NOUN
ejpam-4693	231	49	)	)	PUNCT
ejpam-4693	231	50	,	,	PUNCT
ejpam-4693	231	51	the	the	DET
ejpam-4693	231	52	computations	computation	NOUN
ejpam-4693	231	53	associated	associate	VERB
ejpam-4693	231	54	with	with	ADP
ejpam-4693	231	55	the	the	DET
ejpam-4693	231	56	problems	problem	NOUN
ejpam-4693	231	57	were	be	AUX
ejpam-4693	231	58	performed	perform	VERB
ejpam-4693	231	59	using	use	VERB
ejpam-4693	231	60	the	the	DET
ejpam-4693	231	61	maple	maple	NOUN
ejpam-4693	231	62	18	18	NUM
ejpam-4693	231	63	package	package	NOUN
ejpam-4693	231	64	with	with	ADP
ejpam-4693	231	65	a	a	DET
ejpam-4693	231	66	precision	precision	NOUN
ejpam-4693	231	67	of	of	ADP
ejpam-4693	231	68	20	20	NUM
ejpam-4693	231	69	digits	digit	NOUN
ejpam-4693	231	70	.	.	PUNCT
ejpam-4693	232	1	problem	problem	NOUN
ejpam-4693	232	2	1	1	NUM
ejpam-4693	232	3	.	.	PUNCT
ejpam-4693	233	1	let	let	VERB
ejpam-4693	233	2	us	we	PRON
ejpam-4693	233	3	consider	consider	VERB
ejpam-4693	233	4	the	the	DET
ejpam-4693	233	5	following	follow	VERB
ejpam-4693	233	6	nlsvies	nlsvie	NOUN
ejpam-4693	234	1	[	[	X
ejpam-4693	234	2	6	6	NUM
ejpam-4693	234	3	]	]	PUNCT
ejpam-4693	234	4	{	{	PUNCT
ejpam-4693	234	5	u1	u1	PROPN
ejpam-4693	234	6	(	(	PUNCT
ejpam-4693	234	7	x	x	NOUN
ejpam-4693	234	8	)	)	PUNCT
ejpam-4693	234	9	=	=	SYM
ejpam-4693	234	10	f1	f1	NOUN
ejpam-4693	234	11	(	(	PUNCT
ejpam-4693	234	12	x	x	NOUN
ejpam-4693	234	13	)	)	PUNCT
ejpam-4693	234	14	+	+	CCONJ
ejpam-4693	235	1	λ1	λ1	ADJ
ejpam-4693	235	2	∫	∫	PROPN
ejpam-4693	235	3	x	x	SYM
ejpam-4693	235	4	0	0	NUM
ejpam-4693	235	5	(	(	PUNCT
ejpam-4693	235	6	u21	u21	PROPN
ejpam-4693	235	7	(	(	PUNCT
ejpam-4693	235	8	t	t	PROPN
ejpam-4693	235	9	)	)	PUNCT
ejpam-4693	235	10	+	+	CCONJ
ejpam-4693	235	11	u32(t	u32(t	NOUN
ejpam-4693	235	12	)	)	PUNCT
ejpam-4693	235	13	)	)	PUNCT
ejpam-4693	236	1	dt	dt	X
ejpam-4693	236	2	,	,	PUNCT
ejpam-4693	236	3	u2	u2	PROPN
ejpam-4693	236	4	(	(	PUNCT
ejpam-4693	236	5	x	x	NOUN
ejpam-4693	236	6	)	)	PUNCT
ejpam-4693	236	7	=	=	SYM
ejpam-4693	236	8	f2	f2	PROPN
ejpam-4693	236	9	(	(	PUNCT
ejpam-4693	236	10	x	x	NOUN
ejpam-4693	236	11	)	)	PUNCT
ejpam-4693	237	1	+	+	NUM
ejpam-4693	237	2	λ2	λ2	NUM
ejpam-4693	237	3	∫	∫	PROPN
ejpam-4693	237	4	x	x	X
ejpam-4693	237	5	0	0	PROPN
ejpam-4693	237	6	(	(	PUNCT
ejpam-4693	237	7	u31	u31	PROPN
ejpam-4693	237	8	(	(	PUNCT
ejpam-4693	237	9	t	t	PROPN
ejpam-4693	237	10	)	)	PUNCT
ejpam-4693	237	11	−	−	PROPN
ejpam-4693	237	12	u22(t	u22(t	NOUN
ejpam-4693	237	13	)	)	PUNCT
ejpam-4693	237	14	)	)	PUNCT
ejpam-4693	238	1	dt	dt	X
ejpam-4693	238	2	,	,	PUNCT
ejpam-4693	238	3	(	(	PUNCT
ejpam-4693	238	4	22	22	NUM
ejpam-4693	238	5	)	)	PUNCT
ejpam-4693	239	1	where	where	SCONJ
ejpam-4693	239	2	{	{	PUNCT
ejpam-4693	239	3	f1	f1	NOUN
ejpam-4693	239	4	(	(	PUNCT
ejpam-4693	239	5	x	x	NOUN
ejpam-4693	239	6	)	)	PUNCT
ejpam-4693	239	7	=	=	SYM
ejpam-4693	240	1	(	(	PUNCT
ejpam-4693	240	2	−	−	PROPN
ejpam-4693	240	3	1	1	NUM
ejpam-4693	240	4	10x	10x	NUM
ejpam-4693	240	5	10	10	NUM
ejpam-4693	240	6	−	−	NUM
ejpam-4693	240	7	1	1	NUM
ejpam-4693	240	8	5x	5x	NUM
ejpam-4693	240	9	5	5	NUM
ejpam-4693	240	10	)	)	PUNCT
ejpam-4693	240	11	λ1	λ1	PROPN
ejpam-4693	240	12	+	+	CCONJ
ejpam-4693	240	13	x2	x2	PROPN
ejpam-4693	240	14	f2	f2	PROPN
ejpam-4693	240	15	(	(	PUNCT
ejpam-4693	240	16	x	x	NOUN
ejpam-4693	240	17	)	)	PUNCT
ejpam-4693	240	18	=	=	SYM
ejpam-4693	240	19	x3	x3	ADJ
ejpam-4693	240	20	,	,	PUNCT
ejpam-4693	240	21	(	(	PUNCT
ejpam-4693	240	22	23	23	X
ejpam-4693	240	23	)	)	PUNCT
ejpam-4693	240	24	rasha	rasha	PROPN
ejpam-4693	240	25	f.	f.	PROPN
ejpam-4693	240	26	ahmed	ahmed	PROPN
ejpam-4693	240	27	,	,	PUNCT
ejpam-4693	240	28	w.	w.	PROPN
ejpam-4693	240	29	al	al	PROPN
ejpam-4693	240	30	-	-	PUNCT
ejpam-4693	240	31	hayani	hayani	PROPN
ejpam-4693	240	32	,	,	PUNCT
ejpam-4693	240	33	a.	a.	PROPN
ejpam-4693	240	34	y.	y.	PROPN
ejpam-4693	240	35	al	al	PROPN
ejpam-4693	240	36	-	-	PUNCT
ejpam-4693	240	37	bayati	bayati	PROPN
ejpam-4693	240	38	/	/	SYM
ejpam-4693	240	39	eur	eur	PROPN
ejpam-4693	240	40	.	.	PUNCT
ejpam-4693	241	1	j.	j.	PROPN
ejpam-4693	241	2	pure	pure	PROPN
ejpam-4693	241	3	appl	appl	PROPN
ejpam-4693	241	4	.	.	PROPN
ejpam-4693	241	5	math	math	PROPN
ejpam-4693	241	6	,	,	PUNCT
ejpam-4693	241	7	16	16	NUM
ejpam-4693	241	8	(	(	PUNCT
ejpam-4693	241	9	2	2	NUM
ejpam-4693	241	10	)	)	PUNCT
ejpam-4693	241	11	(	(	PUNCT
ejpam-4693	241	12	2023	2023	NUM
ejpam-4693	241	13	)	)	PUNCT
ejpam-4693	241	14	,	,	PUNCT
ejpam-4693	241	15	864	864	NUM
ejpam-4693	241	16	-	-	SYM
ejpam-4693	241	17	892	892	NUM
ejpam-4693	241	18	874	874	NUM
ejpam-4693	241	19	with	with	ADP
ejpam-4693	241	20	the	the	DET
ejpam-4693	241	21	exact	exact	ADJ
ejpam-4693	241	22	solutions	solution	NOUN
ejpam-4693	241	23	uexact1	uexact1	VERB
ejpam-4693	241	24	(	(	PUNCT
ejpam-4693	241	25	x	x	X
ejpam-4693	241	26	)	)	PUNCT
ejpam-4693	241	27	=	=	SYM
ejpam-4693	241	28	x2	x2	PROPN
ejpam-4693	241	29	,	,	PUNCT
ejpam-4693	241	30	uexact2	uexact2	X
ejpam-4693	241	31	(	(	PUNCT
ejpam-4693	241	32	x	x	X
ejpam-4693	241	33	)	)	PUNCT
ejpam-4693	241	34	=	=	SYM
ejpam-4693	242	1	x3	x3	ADJ
ejpam-4693	242	2	.	.	PUNCT
ejpam-4693	243	1	(	(	PUNCT
ejpam-4693	243	2	24	24	NUM
ejpam-4693	243	3	)	)	PUNCT
ejpam-4693	243	4	to	to	PART
ejpam-4693	243	5	solve	solve	VERB
ejpam-4693	243	6	22	22	NUM
ejpam-4693	243	7	and	and	CCONJ
ejpam-4693	243	8	23	23	NUM
ejpam-4693	243	9	by	by	ADP
ejpam-4693	243	10	means	mean	NOUN
ejpam-4693	243	11	of	of	ADP
ejpam-4693	243	12	the	the	DET
ejpam-4693	243	13	standard	standard	ADJ
ejpam-4693	243	14	ham	ham	NOUN
ejpam-4693	243	15	,	,	PUNCT
ejpam-4693	243	16	we	we	PRON
ejpam-4693	243	17	choose	choose	VERB
ejpam-4693	243	18	the	the	DET
ejpam-4693	243	19	initial	initial	ADJ
ejpam-4693	243	20	approximation	approximation	NOUN
ejpam-4693	243	21	u1,0	u1,0	PROPN
ejpam-4693	243	22	(	(	PUNCT
ejpam-4693	243	23	x	x	NOUN
ejpam-4693	243	24	)	)	PUNCT
ejpam-4693	243	25	=	=	SYM
ejpam-4693	243	26	f1	f1	NOUN
ejpam-4693	243	27	(	(	PUNCT
ejpam-4693	243	28	x	x	NOUN
ejpam-4693	243	29	)	)	PUNCT
ejpam-4693	243	30	,	,	PUNCT
ejpam-4693	243	31	u2,0	u2,0	PROPN
ejpam-4693	243	32	(	(	PUNCT
ejpam-4693	243	33	x	x	X
ejpam-4693	243	34	)	)	PUNCT
ejpam-4693	243	35	=	=	SYM
ejpam-4693	244	1	f2	f2	PROPN
ejpam-4693	244	2	(	(	PUNCT
ejpam-4693	244	3	x	x	NOUN
ejpam-4693	244	4	)	)	PUNCT
ejpam-4693	244	5	,	,	PUNCT
ejpam-4693	244	6	(	(	PUNCT
ejpam-4693	244	7	25	25	NUM
ejpam-4693	244	8	)	)	PUNCT
ejpam-4693	244	9	and	and	CCONJ
ejpam-4693	244	10	the	the	DET
ejpam-4693	244	11	linear	linear	ADJ
ejpam-4693	244	12	operator	operator	NOUN
ejpam-4693	244	13	l	l	NOUN
ejpam-4693	245	1	[	[	X
ejpam-4693	245	2	ϕ1	ϕ1	NOUN
ejpam-4693	245	3	(	(	PUNCT
ejpam-4693	245	4	x	x	X
ejpam-4693	245	5	,	,	PUNCT
ejpam-4693	245	6	q	q	NOUN
ejpam-4693	245	7	)	)	PUNCT
ejpam-4693	245	8	]	]	PUNCT
ejpam-4693	245	9	=	=	PUNCT
ejpam-4693	245	10	ϕ1	ϕ1	NOUN
ejpam-4693	245	11	(	(	PUNCT
ejpam-4693	245	12	x	x	NOUN
ejpam-4693	245	13	,	,	PUNCT
ejpam-4693	245	14	q	q	NOUN
ejpam-4693	245	15	)	)	PUNCT
ejpam-4693	245	16	,	,	PUNCT
ejpam-4693	245	17	l	l	X
ejpam-4693	246	1	[	[	X
ejpam-4693	246	2	ϕ2	ϕ2	ADV
ejpam-4693	246	3	(	(	PUNCT
ejpam-4693	246	4	x	x	NOUN
ejpam-4693	246	5	,	,	PUNCT
ejpam-4693	246	6	q	q	NOUN
ejpam-4693	246	7	)	)	PUNCT
ejpam-4693	246	8	]	]	PUNCT
ejpam-4693	246	9	=	=	PUNCT
ejpam-4693	246	10	ϕ2	ϕ2	ADV
ejpam-4693	246	11	(	(	PUNCT
ejpam-4693	246	12	x	x	NOUN
ejpam-4693	246	13	,	,	PUNCT
ejpam-4693	246	14	q	q	NOUN
ejpam-4693	246	15	)	)	PUNCT
ejpam-4693	246	16	.	.	PUNCT
ejpam-4693	247	1	(	(	PUNCT
ejpam-4693	247	2	26	26	NUM
ejpam-4693	247	3	)	)	PUNCT
ejpam-4693	247	4	furthermore	furthermore	ADV
ejpam-4693	247	5	,	,	PUNCT
ejpam-4693	247	6	the	the	DET
ejpam-4693	247	7	system	system	NOUN
ejpam-4693	247	8	22	22	NUM
ejpam-4693	247	9	suggests	suggest	VERB
ejpam-4693	247	10	that	that	SCONJ
ejpam-4693	247	11	we	we	PRON
ejpam-4693	247	12	define	define	VERB
ejpam-4693	247	13	the	the	DET
ejpam-4693	247	14	non	non	ADJ
ejpam-4693	247	15	-	-	ADJ
ejpam-4693	247	16	linear	linear	ADJ
ejpam-4693	247	17	operator	operator	NOUN
ejpam-4693	247	18	as	as	ADP
ejpam-4693	247	19	{	{	PUNCT
ejpam-4693	247	20	n1	n1	PROPN
ejpam-4693	247	21	[	[	X
ejpam-4693	247	22	ϕ1	ϕ1	NOUN
ejpam-4693	247	23	(	(	PUNCT
ejpam-4693	247	24	x	x	X
ejpam-4693	247	25	,	,	PUNCT
ejpam-4693	247	26	q	q	NOUN
ejpam-4693	247	27	)	)	PUNCT
ejpam-4693	247	28	,	,	PUNCT
ejpam-4693	247	29	ϕ2	ϕ2	ADV
ejpam-4693	247	30	(	(	PUNCT
ejpam-4693	247	31	x	x	NOUN
ejpam-4693	247	32	,	,	PUNCT
ejpam-4693	247	33	q	q	NOUN
ejpam-4693	247	34	)	)	PUNCT
ejpam-4693	247	35	]	]	PUNCT
ejpam-4693	248	1	=	=	PUNCT
ejpam-4693	248	2	ϕ1	ϕ1	NOUN
ejpam-4693	248	3	(	(	PUNCT
ejpam-4693	248	4	x	x	NOUN
ejpam-4693	248	5	,	,	PUNCT
ejpam-4693	248	6	q	q	NOUN
ejpam-4693	248	7	)	)	PUNCT
ejpam-4693	248	8	−	−	PROPN
ejpam-4693	248	9	f1	f1	NOUN
ejpam-4693	248	10	(	(	PUNCT
ejpam-4693	248	11	x	x	NOUN
ejpam-4693	248	12	)	)	PUNCT
ejpam-4693	248	13	−	−	PROPN
ejpam-4693	249	1	λ1	λ1	ADJ
ejpam-4693	249	2	∫	∫	PROPN
ejpam-4693	249	3	x	x	SYM
ejpam-4693	249	4	0	0	PUNCT
ejpam-4693	249	5	(	(	PUNCT
ejpam-4693	249	6	ϕ2	ϕ2	ADV
ejpam-4693	249	7	1	1	NUM
ejpam-4693	249	8	(	(	PUNCT
ejpam-4693	249	9	t	t	PROPN
ejpam-4693	249	10	,	,	PUNCT
ejpam-4693	249	11	q	q	NOUN
ejpam-4693	249	12	)	)	PUNCT
ejpam-4693	250	1	+	+	CCONJ
ejpam-4693	250	2	ϕ3	ϕ3	PROPN
ejpam-4693	250	3	2	2	NUM
ejpam-4693	250	4	(	(	PUNCT
ejpam-4693	250	5	t	t	PROPN
ejpam-4693	250	6	,	,	PUNCT
ejpam-4693	250	7	q	q	NOUN
ejpam-4693	250	8	)	)	PUNCT
ejpam-4693	250	9	)	)	PUNCT
ejpam-4693	250	10	dt	dt	PROPN
ejpam-4693	250	11	,	,	PUNCT
ejpam-4693	250	12	n2	n2	ADJ
ejpam-4693	250	13	[	[	X
ejpam-4693	250	14	ϕ1	ϕ1	NOUN
ejpam-4693	250	15	(	(	PUNCT
ejpam-4693	250	16	x	x	NOUN
ejpam-4693	250	17	,	,	PUNCT
ejpam-4693	250	18	q	q	NOUN
ejpam-4693	250	19	)	)	PUNCT
ejpam-4693	250	20	,	,	PUNCT
ejpam-4693	250	21	ϕ2	ϕ2	ADV
ejpam-4693	250	22	(	(	PUNCT
ejpam-4693	250	23	x	x	NOUN
ejpam-4693	250	24	,	,	PUNCT
ejpam-4693	250	25	q	q	NOUN
ejpam-4693	250	26	)	)	PUNCT
ejpam-4693	250	27	]	]	PUNCT
ejpam-4693	250	28	=	=	PUNCT
ejpam-4693	251	1	ϕ2	ϕ2	ADV
ejpam-4693	251	2	(	(	PUNCT
ejpam-4693	251	3	x	x	NOUN
ejpam-4693	251	4	,	,	PUNCT
ejpam-4693	251	5	q	q	NOUN
ejpam-4693	251	6	)	)	PUNCT
ejpam-4693	251	7	−	−	PROPN
ejpam-4693	251	8	f2	f2	INTJ
ejpam-4693	251	9	(	(	PUNCT
ejpam-4693	251	10	x	x	NOUN
ejpam-4693	251	11	)	)	PUNCT
ejpam-4693	251	12	−	−	PROPN
ejpam-4693	251	13	λ2	λ2	NOUN
ejpam-4693	251	14	∫	∫	PROPN
ejpam-4693	251	15	x	x	X
ejpam-4693	251	16	0	0	PROPN
ejpam-4693	251	17	(	(	PUNCT
ejpam-4693	251	18	ϕ3	ϕ3	PROPN
ejpam-4693	251	19	1	1	NUM
ejpam-4693	251	20	(	(	PUNCT
ejpam-4693	251	21	t	t	PROPN
ejpam-4693	251	22	,	,	PUNCT
ejpam-4693	251	23	q	q	NOUN
ejpam-4693	251	24	)	)	PUNCT
ejpam-4693	251	25	−	−	ADP
ejpam-4693	251	26	ϕ2	ϕ2	ADV
ejpam-4693	251	27	2	2	NUM
ejpam-4693	251	28	(	(	PUNCT
ejpam-4693	251	29	t	t	PROPN
ejpam-4693	251	30	,	,	PUNCT
ejpam-4693	251	31	q	q	NOUN
ejpam-4693	251	32	)	)	PUNCT
ejpam-4693	251	33	)	)	PUNCT
ejpam-4693	252	1	dt	dt	X
ejpam-4693	252	2	,	,	PUNCT
ejpam-4693	252	3	(	(	PUNCT
ejpam-4693	252	4	27	27	NUM
ejpam-4693	252	5	)	)	PUNCT
ejpam-4693	252	6	using	use	VERB
ejpam-4693	252	7	the	the	DET
ejpam-4693	252	8	above	above	ADJ
ejpam-4693	252	9	definition	definition	NOUN
ejpam-4693	252	10	,	,	PUNCT
ejpam-4693	252	11	we	we	PRON
ejpam-4693	252	12	construct	construct	VERB
ejpam-4693	252	13	the	the	DET
ejpam-4693	252	14	zeroth	zeroth	ADJ
ejpam-4693	252	15	-	-	PUNCT
ejpam-4693	252	16	order	order	NOUN
ejpam-4693	252	17	deformation	deformation	NOUN
ejpam-4693	252	18	equation	equation	NOUN
ejpam-4693	252	19	as	as	ADP
ejpam-4693	252	20	in	in	ADP
ejpam-4693	252	21	6	6	NUM
ejpam-4693	252	22	and	and	CCONJ
ejpam-4693	252	23	7	7	NUM
ejpam-4693	252	24	and	and	CCONJ
ejpam-4693	252	25	the	the	DET
ejpam-4693	252	26	mth	mth	NOUN
ejpam-4693	252	27	-	-	PUNCT
ejpam-4693	252	28	order	order	NOUN
ejpam-4693	252	29	deformation	deformation	NOUN
ejpam-4693	252	30	equation	equation	NOUN
ejpam-4693	252	31	for	for	ADP
ejpam-4693	252	32	m	m	PROPN
ejpam-4693	252	33	≥	≥	NUM
ejpam-4693	252	34	1	1	NUM
ejpam-4693	252	35	which	which	PRON
ejpam-4693	252	36	is	be	AUX
ejpam-4693	252	37	{	{	PUNCT
ejpam-4693	252	38	l	l	NOUN
ejpam-4693	253	1	[	[	X
ejpam-4693	253	2	u1,m	u1,m	PROPN
ejpam-4693	253	3	(	(	PUNCT
ejpam-4693	253	4	x	x	NOUN
ejpam-4693	253	5	)	)	PUNCT
ejpam-4693	253	6	−	−	PROPN
ejpam-4693	253	7	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	253	8	(	(	PUNCT
ejpam-4693	253	9	x	x	NOUN
ejpam-4693	253	10	)	)	PUNCT
ejpam-4693	253	11	]	]	PUNCT
ejpam-4693	254	1	=	=	SYM
ejpam-4693	254	2	h	h	NOUN
ejpam-4693	255	1	[	[	X
ejpam-4693	255	2	r1,m	r1,m	X
ejpam-4693	255	3	(	(	PUNCT
ejpam-4693	255	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	255	5	)	)	PUNCT
ejpam-4693	255	6	,	,	PUNCT
ejpam-4693	255	7	r2,m	r2,m	PROPN
ejpam-4693	255	8	(	(	PUNCT
ejpam-4693	255	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	255	10	)	)	PUNCT
ejpam-4693	255	11	]	]	PUNCT
ejpam-4693	255	12	,	,	PUNCT
ejpam-4693	255	13	l	l	X
ejpam-4693	256	1	[	[	X
ejpam-4693	256	2	u2,m	u2,m	ADJ
ejpam-4693	256	3	(	(	PUNCT
ejpam-4693	256	4	x	x	NOUN
ejpam-4693	256	5	)	)	PUNCT
ejpam-4693	256	6	−	−	PROPN
ejpam-4693	256	7	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	256	8	(	(	PUNCT
ejpam-4693	256	9	x	x	NOUN
ejpam-4693	256	10	)	)	PUNCT
ejpam-4693	256	11	]	]	PUNCT
ejpam-4693	257	1	=	=	SYM
ejpam-4693	257	2	h	h	NOUN
ejpam-4693	258	1	[	[	X
ejpam-4693	258	2	r1,m	r1,m	X
ejpam-4693	258	3	(	(	PUNCT
ejpam-4693	258	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	258	5	)	)	PUNCT
ejpam-4693	258	6	,	,	PUNCT
ejpam-4693	258	7	r2,m	r2,m	PROPN
ejpam-4693	258	8	(	(	PUNCT
ejpam-4693	258	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	258	10	)	)	PUNCT
ejpam-4693	258	11	]	]	PUNCT
ejpam-4693	258	12	,	,	PUNCT
ejpam-4693	258	13	(	(	PUNCT
ejpam-4693	258	14	28	28	NUM
ejpam-4693	258	15	)	)	PUNCT
ejpam-4693	258	16	where	where	SCONJ
ejpam-4693	258	17	{	{	PUNCT
ejpam-4693	258	18	r1,m	r1,m	NOUN
ejpam-4693	258	19	(	(	PUNCT
ejpam-4693	258	20	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	258	21	,	,	PUNCT
ejpam-4693	258	22	u⃗2,m−1	u⃗2,m−1	NOUN
ejpam-4693	258	23	)	)	PUNCT
ejpam-4693	258	24	=	=	SYM
ejpam-4693	258	25	u1,m−1	u1,m−1	NOUN
ejpam-4693	258	26	(	(	PUNCT
ejpam-4693	258	27	x	x	NOUN
ejpam-4693	258	28	)	)	PUNCT
ejpam-4693	258	29	−	−	PROPN
ejpam-4693	258	30	f1	f1	PROPN
ejpam-4693	258	31	(	(	PUNCT
ejpam-4693	258	32	x	x	NOUN
ejpam-4693	258	33	)	)	PUNCT
ejpam-4693	258	34	−	−	PROPN
ejpam-4693	259	1	λ1	λ1	ADJ
ejpam-4693	259	2	∫	∫	PROPN
ejpam-4693	259	3	x	x	SYM
ejpam-4693	259	4	0	0	PROPN
ejpam-4693	259	5	(	(	PUNCT
ejpam-4693	259	6	u21,m−1	u21,m−1	PROPN
ejpam-4693	259	7	(	(	PUNCT
ejpam-4693	259	8	t	t	PROPN
ejpam-4693	259	9	)	)	PUNCT
ejpam-4693	259	10	+	+	CCONJ
ejpam-4693	259	11	u32,m−1	u32,m−1	PROPN
ejpam-4693	259	12	(	(	PUNCT
ejpam-4693	259	13	t	t	PROPN
ejpam-4693	259	14	)	)	PUNCT
ejpam-4693	259	15	)	)	PUNCT
ejpam-4693	260	1	dt	dt	X
ejpam-4693	260	2	,	,	PUNCT
ejpam-4693	260	3	r2,m	r2,m	PROPN
ejpam-4693	260	4	(	(	PUNCT
ejpam-4693	260	5	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	260	6	,	,	PUNCT
ejpam-4693	260	7	u⃗2,m−1	u⃗2,m−1	NOUN
ejpam-4693	260	8	)	)	PUNCT
ejpam-4693	260	9	=	=	SYM
ejpam-4693	260	10	u2,m−1	u2,m−1	NOUN
ejpam-4693	260	11	(	(	PUNCT
ejpam-4693	260	12	x	x	NOUN
ejpam-4693	260	13	)	)	PUNCT
ejpam-4693	260	14	−	−	ADP
ejpam-4693	260	15	f2	f2	INTJ
ejpam-4693	260	16	(	(	PUNCT
ejpam-4693	260	17	x	x	NOUN
ejpam-4693	260	18	)	)	PUNCT
ejpam-4693	261	1	−	−	PROPN
ejpam-4693	261	2	λ2	λ2	NOUN
ejpam-4693	261	3	∫	∫	PROPN
ejpam-4693	261	4	x	x	X
ejpam-4693	261	5	0	0	PROPN
ejpam-4693	261	6	(	(	PUNCT
ejpam-4693	261	7	u31,m−1	u31,m−1	PROPN
ejpam-4693	261	8	(	(	PUNCT
ejpam-4693	261	9	t	t	PROPN
ejpam-4693	261	10	)	)	PUNCT
ejpam-4693	261	11	−	−	PROPN
ejpam-4693	261	12	u22,m−1	u22,m−1	PROPN
ejpam-4693	261	13	(	(	PUNCT
ejpam-4693	261	14	t	t	PROPN
ejpam-4693	261	15	)	)	PUNCT
ejpam-4693	261	16	)	)	PUNCT
ejpam-4693	262	1	dt	dt	X
ejpam-4693	262	2	,	,	PUNCT
ejpam-4693	262	3	(	(	PUNCT
ejpam-4693	262	4	29	29	NUM
ejpam-4693	262	5	)	)	PUNCT
ejpam-4693	262	6	now	now	ADV
ejpam-4693	262	7	,	,	PUNCT
ejpam-4693	262	8	for	for	ADP
ejpam-4693	262	9	m	m	PROPN
ejpam-4693	262	10	≥	≥	NOUN
ejpam-4693	262	11	1	1	NUM
ejpam-4693	262	12	,	,	PUNCT
ejpam-4693	262	13	the	the	DET
ejpam-4693	262	14	solutions	solution	NOUN
ejpam-4693	262	15	of	of	ADP
ejpam-4693	262	16	the	the	DET
ejpam-4693	262	17	mth	mth	NOUN
ejpam-4693	262	18	-	-	PUNCT
ejpam-4693	262	19	order	order	NOUN
ejpam-4693	262	20	deformation	deformation	NOUN
ejpam-4693	262	21	equation	equation	NOUN
ejpam-4693	262	22	29	29	NUM
ejpam-4693	262	23	are	be	AUX
ejpam-4693	262	24	{	{	PUNCT
ejpam-4693	262	25	u1,m	u1,m	PROPN
ejpam-4693	262	26	(	(	PUNCT
ejpam-4693	262	27	x	x	X
ejpam-4693	262	28	)	)	PUNCT
ejpam-4693	262	29	=	=	SYM
ejpam-4693	263	1	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	263	2	(	(	PUNCT
ejpam-4693	263	3	x	x	X
ejpam-4693	263	4	)	)	PUNCT
ejpam-4693	264	1	+	+	NUM
ejpam-4693	264	2	h	h	NOUN
ejpam-4693	265	1	[	[	X
ejpam-4693	265	2	r1,m	r1,m	X
ejpam-4693	265	3	(	(	PUNCT
ejpam-4693	265	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	265	5	)	)	PUNCT
ejpam-4693	265	6	,	,	PUNCT
ejpam-4693	265	7	r2,m	r2,m	PROPN
ejpam-4693	265	8	(	(	PUNCT
ejpam-4693	265	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	265	10	)	)	PUNCT
ejpam-4693	265	11	]	]	PUNCT
ejpam-4693	265	12	,	,	PUNCT
ejpam-4693	265	13	u2,m	u2,m	PROPN
ejpam-4693	265	14	(	(	PUNCT
ejpam-4693	265	15	x	x	X
ejpam-4693	265	16	)	)	PUNCT
ejpam-4693	265	17	=	=	SYM
ejpam-4693	265	18	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	265	19	(	(	PUNCT
ejpam-4693	265	20	x	x	X
ejpam-4693	265	21	)	)	PUNCT
ejpam-4693	266	1	+	+	NUM
ejpam-4693	266	2	h	h	NOUN
ejpam-4693	267	1	[	[	X
ejpam-4693	267	2	r1,m	r1,m	X
ejpam-4693	267	3	(	(	PUNCT
ejpam-4693	267	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	267	5	)	)	PUNCT
ejpam-4693	267	6	,	,	PUNCT
ejpam-4693	267	7	r2,m	r2,m	PROPN
ejpam-4693	267	8	(	(	PUNCT
ejpam-4693	267	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	267	10	)	)	PUNCT
ejpam-4693	267	11	]	]	PUNCT
ejpam-4693	267	12	,	,	PUNCT
ejpam-4693	267	13	(	(	PUNCT
ejpam-4693	267	14	30	30	NUM
ejpam-4693	267	15	)	)	PUNCT
ejpam-4693	267	16	now	now	ADV
ejpam-4693	267	17	,	,	PUNCT
ejpam-4693	267	18	we	we	PRON
ejpam-4693	267	19	successively	successively	ADV
ejpam-4693	267	20	obtain	obtain	VERB
ejpam-4693	267	21	u1,1	u1,1	ADJ
ejpam-4693	267	22	(	(	PUNCT
ejpam-4693	267	23	x	x	X
ejpam-4693	267	24	)	)	PUNCT
ejpam-4693	267	25	=	=	SYM
ejpam-4693	268	1	−	−	PROPN
ejpam-4693	268	2	1	1	NUM
ejpam-4693	268	3	2100	2100	NUM
ejpam-4693	268	4	hλ3	hλ3	NOUN
ejpam-4693	268	5	1x	1x	NUM
ejpam-4693	268	6	21	21	NUM
ejpam-4693	268	7	−	−	NOUN
ejpam-4693	268	8	1	1	NUM
ejpam-4693	268	9	400	400	NUM
ejpam-4693	268	10	hλ3	hλ3	NOUN
ejpam-4693	268	11	1x	1x	NUM
ejpam-4693	268	12	16	16	NUM
ejpam-4693	268	13	+	+	CCONJ
ejpam-4693	268	14	1	1	NUM
ejpam-4693	268	15	65	65	NUM
ejpam-4693	269	1	hλ2	hλ2	CCONJ
ejpam-4693	269	2	1x	1x	NUM
ejpam-4693	269	3	13	13	NUM
ejpam-4693	269	4	−	−	NOUN
ejpam-4693	269	5	1	1	NUM
ejpam-4693	269	6	275	275	NUM
ejpam-4693	269	7	hλ3	hλ3	NOUN
ejpam-4693	269	8	1x	1x	NUM
ejpam-4693	269	9	11	11	NUM
ejpam-4693	269	10	+	+	CCONJ
ejpam-4693	269	11	1	1	NUM
ejpam-4693	269	12	20	20	NUM
ejpam-4693	269	13	hλ2	hλ2	CCONJ
ejpam-4693	269	14	1x	1x	NUM
ejpam-4693	269	15	8	8	NUM
ejpam-4693	269	16	−	−	NOUN
ejpam-4693	269	17	1	1	NUM
ejpam-4693	269	18	5	5	NUM
ejpam-4693	269	19	hλ1x	hλ1x	PROPN
ejpam-4693	269	20	5	5	NUM
ejpam-4693	269	21	−	−	NOUN
ejpam-4693	269	22	1	1	NUM
ejpam-4693	269	23	10	10	NUM
ejpam-4693	269	24	hλ1x	hλ1x	PROPN
ejpam-4693	269	25	10	10	NUM
ejpam-4693	269	26	u2,1	u2,1	PROPN
ejpam-4693	269	27	(	(	PUNCT
ejpam-4693	269	28	x	x	NOUN
ejpam-4693	269	29	)	)	PUNCT
ejpam-4693	269	30	=	=	SYM
ejpam-4693	269	31	1	1	NUM
ejpam-4693	269	32	31000	31000	NUM
ejpam-4693	269	33	hλ3	hλ3	NOUN
ejpam-4693	269	34	1λ2x	1λ2x	NUM
ejpam-4693	269	35	31	31	NUM
ejpam-4693	269	36	+	+	CCONJ
ejpam-4693	269	37	3	3	NUM
ejpam-4693	269	38	13000	13000	NUM
ejpam-4693	269	39	hλ3	hλ3	NOUN
ejpam-4693	269	40	1λ2x	1λ2x	NUM
ejpam-4693	269	41	26	26	NUM
ejpam-4693	269	42	−	−	NUM
ejpam-4693	269	43	3	3	NUM
ejpam-4693	269	44	2300	2300	NUM
ejpam-4693	270	1	hλ2	hλ2	NOUN
ejpam-4693	270	2	1λ2x	1λ2x	NUM
ejpam-4693	270	3	23	23	NUM
ejpam-4693	271	1	+	+	SYM
ejpam-4693	271	2	1	1	NUM
ejpam-4693	271	3	1750	1750	NUM
ejpam-4693	271	4	hλ3	hλ3	NOUN
ejpam-4693	271	5	1λ2x	1λ2x	NUM
ejpam-4693	271	6	21	21	NUM
ejpam-4693	271	7	−	−	NOUN
ejpam-4693	271	8	1	1	NUM
ejpam-4693	271	9	150	150	NUM
ejpam-4693	271	10	hλ2	hλ2	NOUN
ejpam-4693	271	11	1λ2x	1λ2x	NUM
ejpam-4693	271	12	18	18	NUM
ejpam-4693	271	13	+	+	SYM
ejpam-4693	271	14	1	1	NUM
ejpam-4693	271	15	50	50	NUM
ejpam-4693	271	16	hλ1λ2x	hλ1λ2x	PROPN
ejpam-4693	271	17	15	15	NUM
ejpam-4693	271	18	+	+	SYM
ejpam-4693	271	19	1	1	NUM
ejpam-4693	271	20	2000	2000	NUM
ejpam-4693	271	21	hλ3	hλ3	NOUN
ejpam-4693	271	22	1λ2x	1λ2x	NUM
ejpam-4693	271	23	16	16	NUM
ejpam-4693	271	24	−	−	NUM
ejpam-4693	271	25	3	3	NUM
ejpam-4693	271	26	325	325	NUM
ejpam-4693	271	27	hλ2	hλ2	PROPN
ejpam-4693	271	28	1λ2x	1λ2x	NUM
ejpam-4693	271	29	13	13	NUM
ejpam-4693	272	1	+	+	CCONJ
ejpam-4693	272	2	3	3	NUM
ejpam-4693	272	3	50	50	NUM
ejpam-4693	272	4	hλ1λ2x	hλ1λ2x	PROPN
ejpam-4693	272	5	10	10	NUM
ejpam-4693	272	6	rasha	rasha	PROPN
ejpam-4693	272	7	f.	f.	PROPN
ejpam-4693	272	8	ahmed	ahmed	PROPN
ejpam-4693	272	9	,	,	PUNCT
ejpam-4693	272	10	w.	w.	PROPN
ejpam-4693	272	11	al	al	PROPN
ejpam-4693	272	12	-	-	PUNCT
ejpam-4693	272	13	hayani	hayani	PROPN
ejpam-4693	272	14	,	,	PUNCT
ejpam-4693	272	15	a.	a.	PROPN
ejpam-4693	272	16	y.	y.	PROPN
ejpam-4693	272	17	al	al	PROPN
ejpam-4693	272	18	-	-	PUNCT
ejpam-4693	272	19	bayati	bayati	PROPN
ejpam-4693	272	20	/	/	SYM
ejpam-4693	272	21	eur	eur	PROPN
ejpam-4693	272	22	.	.	PUNCT
ejpam-4693	273	1	j.	j.	PROPN
ejpam-4693	273	2	pure	pure	PROPN
ejpam-4693	273	3	appl	appl	PROPN
ejpam-4693	273	4	.	.	PROPN
ejpam-4693	273	5	math	math	PROPN
ejpam-4693	273	6	,	,	PUNCT
ejpam-4693	273	7	16	16	NUM
ejpam-4693	273	8	(	(	PUNCT
ejpam-4693	273	9	2	2	NUM
ejpam-4693	273	10	)	)	PUNCT
ejpam-4693	273	11	(	(	PUNCT
ejpam-4693	273	12	2023	2023	NUM
ejpam-4693	273	13	)	)	PUNCT
ejpam-4693	273	14	,	,	PUNCT
ejpam-4693	273	15	864	864	NUM
ejpam-4693	273	16	-	-	SYM
ejpam-4693	273	17	892	892	NUM
ejpam-4693	273	18	875	875	NUM
ejpam-4693	273	19	...	...	PUNCT
ejpam-4693	273	20	thus	thus	ADV
ejpam-4693	273	21	,	,	PUNCT
ejpam-4693	273	22	the	the	DET
ejpam-4693	273	23	approximate	approximate	ADJ
ejpam-4693	273	24	solution	solution	NOUN
ejpam-4693	273	25	in	in	ADP
ejpam-4693	273	26	a	a	DET
ejpam-4693	273	27	series	series	NOUN
ejpam-4693	273	28	form	form	NOUN
ejpam-4693	273	29	is	be	AUX
ejpam-4693	273	30	given	give	VERB
ejpam-4693	273	31	by	by	ADP
ejpam-4693	273	32	u1	u1	NOUN
ejpam-4693	273	33	(	(	PUNCT
ejpam-4693	273	34	x	x	NOUN
ejpam-4693	273	35	)	)	PUNCT
ejpam-4693	273	36	=	=	SYM
ejpam-4693	273	37	u1,0	u1,0	PROPN
ejpam-4693	273	38	(	(	PUNCT
ejpam-4693	273	39	x	x	NOUN
ejpam-4693	273	40	)	)	PUNCT
ejpam-4693	274	1	+	+	NUM
ejpam-4693	274	2	6∑	6∑	NUM
ejpam-4693	274	3	i=1	i=1	PRON
ejpam-4693	274	4	u1,i(x	u1,i(x	ADJ
ejpam-4693	274	5	)	)	PUNCT
ejpam-4693	274	6	,	,	PUNCT
ejpam-4693	274	7	u2	u2	PROPN
ejpam-4693	274	8	(	(	PUNCT
ejpam-4693	274	9	x	x	NOUN
ejpam-4693	274	10	)	)	PUNCT
ejpam-4693	274	11	=	=	SYM
ejpam-4693	274	12	u2,0	u2,0	PROPN
ejpam-4693	274	13	(	(	PUNCT
ejpam-4693	274	14	x	x	NOUN
ejpam-4693	274	15	)	)	PUNCT
ejpam-4693	275	1	+	+	NUM
ejpam-4693	275	2	6∑	6∑	NUM
ejpam-4693	275	3	i=1	i=1	X
ejpam-4693	275	4	u2,i(x	u2,i(x	ADJ
ejpam-4693	275	5	)	)	PUNCT
ejpam-4693	275	6	,	,	PUNCT
ejpam-4693	275	7	this	this	DET
ejpam-4693	275	8	series	series	NOUN
ejpam-4693	275	9	has	have	VERB
ejpam-4693	275	10	the	the	DET
ejpam-4693	275	11	closed	closed	ADJ
ejpam-4693	275	12	form	form	NOUN
ejpam-4693	275	13	as	as	ADP
ejpam-4693	275	14	m	m	PROPN
ejpam-4693	275	15	→	→	SYM
ejpam-4693	275	16	∞	∞	NUM
ejpam-4693	275	17	u1	u1	NOUN
ejpam-4693	275	18	(	(	PUNCT
ejpam-4693	275	19	x	x	NOUN
ejpam-4693	275	20	)	)	PUNCT
ejpam-4693	275	21	=	=	SYM
ejpam-4693	275	22	x2	x2	PROPN
ejpam-4693	275	23	,	,	PUNCT
ejpam-4693	275	24	u2	u2	PROPN
ejpam-4693	275	25	(	(	PUNCT
ejpam-4693	275	26	x	x	NOUN
ejpam-4693	275	27	)	)	PUNCT
ejpam-4693	275	28	=	=	SYM
ejpam-4693	275	29	x3	x3	PROPN
ejpam-4693	275	30	.	.	PUNCT
ejpam-4693	275	31	which	which	PRON
ejpam-4693	275	32	are	be	AUX
ejpam-4693	275	33	the	the	DET
ejpam-4693	275	34	exact	exact	ADJ
ejpam-4693	275	35	solutions	solution	NOUN
ejpam-4693	275	36	of	of	ADP
ejpam-4693	275	37	the	the	DET
ejpam-4693	275	38	problem	problem	NOUN
ejpam-4693	275	39	1	1	X
ejpam-4693	275	40	.	.	PUNCT
ejpam-4693	275	41	tables	table	NOUN
ejpam-4693	275	42	1	1	NUM
ejpam-4693	275	43	and	and	CCONJ
ejpam-4693	275	44	2	2	NUM
ejpam-4693	275	45	show	show	VERB
ejpam-4693	275	46	a	a	DET
ejpam-4693	275	47	comparison	comparison	NOUN
ejpam-4693	275	48	of	of	ADP
ejpam-4693	275	49	the	the	DET
ejpam-4693	275	50	numerical	numerical	ADJ
ejpam-4693	275	51	results	result	NOUN
ejpam-4693	275	52	with	with	ADP
ejpam-4693	275	53	the	the	DET
ejpam-4693	275	54	errors	error	NOUN
ejpam-4693	275	55	applying	apply	VERB
ejpam-4693	275	56	the	the	DET
ejpam-4693	275	57	standard	standard	ADJ
ejpam-4693	275	58	ham	ham	NOUN
ejpam-4693	275	59	(	(	PUNCT
ejpam-4693	275	60	m	m	PROPN
ejpam-4693	275	61	=	=	NOUN
ejpam-4693	275	62	6	6	NUM
ejpam-4693	275	63	)	)	PUNCT
ejpam-4693	275	64	and	and	CCONJ
ejpam-4693	275	65	the	the	DET
ejpam-4693	275	66	numerical	numerical	ADJ
ejpam-4693	275	67	results	result	NOUN
ejpam-4693	275	68	applying	apply	VERB
ejpam-4693	275	69	the	the	DET
ejpam-4693	275	70	ham	ham	NOUN
ejpam-4693	275	71	developed	develop	VERB
ejpam-4693	275	72	by	by	ADP
ejpam-4693	275	73	genetic	genetic	ADJ
ejpam-4693	275	74	algorithm	algorithm	NOUN
ejpam-4693	275	75	ham	ham	PROPN
ejpam-4693	275	76	-	-	PUNCT
ejpam-4693	275	77	ga	ga	PROPN
ejpam-4693	275	78	with	with	ADP
ejpam-4693	275	79	the	the	DET
ejpam-4693	275	80	exact	exact	ADJ
ejpam-4693	275	81	solutions	solution	NOUN
ejpam-4693	275	82	24	24	NUM
ejpam-4693	275	83	within	within	ADP
ejpam-4693	275	84	the	the	DET
ejpam-4693	275	85	interval	interval	NOUN
ejpam-4693	275	86	0	0	NUM
ejpam-4693	275	87	≤	≤	NUM
ejpam-4693	275	88	x	x	SYM
ejpam-4693	275	89	≤	≤	NUM
ejpam-4693	275	90	1	1	NUM
ejpam-4693	275	91	for	for	ADP
ejpam-4693	275	92	various	various	ADJ
ejpam-4693	275	93	values	value	NOUN
ejpam-4693	275	94	of	of	ADP
ejpam-4693	275	95	λ1	λ1	ADJ
ejpam-4693	275	96	,	,	PUNCT
ejpam-4693	275	97	λ2and	λ2and	NOUN
ejpam-4693	275	98	h.	h.	PROPN
ejpam-4693	275	99	tables	table	VERB
ejpam-4693	275	100	3	3	NUM
ejpam-4693	275	101	and	and	CCONJ
ejpam-4693	275	102	4	4	NUM
ejpam-4693	275	103	,	,	PUNCT
ejpam-4693	275	104	we	we	PRON
ejpam-4693	275	105	list	list	VERB
ejpam-4693	275	106	the	the	DET
ejpam-4693	275	107	mae	mae	PROPN
ejpam-4693	275	108	and	and	CCONJ
ejpam-4693	275	109	the	the	DET
ejpam-4693	275	110	mre	mre	NOUN
ejpam-4693	275	111	by	by	ADP
ejpam-4693	275	112	the	the	DET
ejpam-4693	275	113	ham	ham	PROPN
ejpam-4693	275	114	and	and	CCONJ
ejpam-4693	275	115	ham	ham	PROPN
ejpam-4693	275	116	-	-	PUNCT
ejpam-4693	275	117	ga	ga	NOUN
ejpam-4693	275	118	on	on	ADP
ejpam-4693	275	119	the	the	DET
ejpam-4693	275	120	interval	interval	NOUN
ejpam-4693	275	121	[	[	X
ejpam-4693	275	122	0	0	NUM
ejpam-4693	275	123	,	,	PUNCT
ejpam-4693	275	124	1	1	NUM
ejpam-4693	275	125	]	]	PUNCT
ejpam-4693	275	126	for	for	ADP
ejpam-4693	275	127	various	various	ADJ
ejpam-4693	275	128	values	value	NOUN
ejpam-4693	275	129	of	of	ADP
ejpam-4693	275	130	λ1	λ1	ADJ
ejpam-4693	275	131	,	,	PUNCT
ejpam-4693	275	132	λ2	λ2	PROPN
ejpam-4693	275	133	and	and	CCONJ
ejpam-4693	275	134	h.	h.	PROPN
ejpam-4693	275	135	table	table	NOUN
ejpam-4693	275	136	5	5	NUM
ejpam-4693	275	137	gives	give	VERB
ejpam-4693	275	138	the	the	DET
ejpam-4693	275	139	errors	error	NOUN
ejpam-4693	275	140	on	on	ADP
ejpam-4693	275	141	the	the	DET
ejpam-4693	275	142	interval	interval	NOUN
ejpam-4693	275	143	h	h	NOUN
ejpam-4693	275	144	-	-	PUNCT
ejpam-4693	275	145	curves	curve	NOUN
ejpam-4693	275	146	[	[	X
ejpam-4693	275	147	−1.2,−0.8	−1.2,−0.8	X
ejpam-4693	275	148	]	]	PUNCT
ejpam-4693	275	149	when	when	SCONJ
ejpam-4693	275	150	λ1	λ1	ADJ
ejpam-4693	275	151	=	=	SYM
ejpam-4693	275	152	λ2	λ2	PROPN
ejpam-4693	275	153	=	=	SYM
ejpam-4693	275	154	1	1	NUM
ejpam-4693	275	155	.	.	NOUN
ejpam-4693	275	156	table	table	NOUN
ejpam-4693	275	157	1	1	NUM
ejpam-4693	275	158	:	:	PUNCT
ejpam-4693	275	159	numerical	numerical	ADJ
ejpam-4693	275	160	results	result	NOUN
ejpam-4693	275	161	when	when	SCONJ
ejpam-4693	275	162	λ1	λ1	ADJ
ejpam-4693	275	163	=	=	SYM
ejpam-4693	275	164	λ2	λ2	PROPN
ejpam-4693	275	165	=	=	SYM
ejpam-4693	275	166	1	1	NUM
ejpam-4693	275	167	,	,	PUNCT
ejpam-4693	275	168	for	for	ADP
ejpam-4693	275	169	(	(	PUNCT
ejpam-4693	275	170	problem	problem	NOUN
ejpam-4693	275	171	1	1	NUM
ejpam-4693	275	172	)	)	PUNCT
ejpam-4693	275	173	x	x	X
ejpam-4693	276	1	i	i	PRON
ejpam-4693	276	2	uexacti	uexacti	VERB
ejpam-4693	276	3	(	(	PUNCT
ejpam-4693	276	4	x	x	NOUN
ejpam-4693	276	5	)	)	PUNCT
ejpam-4693	276	6	ham	ham	NOUN
ejpam-4693	276	7	h=-1	h=-1	PROPN
ejpam-4693	276	8	ae	ae	PROPN
ejpam-4693	276	9	ham	ham	PROPN
ejpam-4693	276	10	-	-	PUNCT
ejpam-4693	276	11	ga	ga	PROPN
ejpam-4693	276	12	h=-0.98213	h=-0.98213	NOUN
ejpam-4693	276	13	ae	ae	PROPN
ejpam-4693	276	14	0.1	0.1	NUM
ejpam-4693	276	15	1	1	NUM
ejpam-4693	276	16	0.010	0.010	NUM
ejpam-4693	276	17	0.0100000000	0.0100000000	NUM
ejpam-4693	276	18	2.113e-24	2.113e-24	NUM
ejpam-4693	276	19	0.0099999999	0.0099999999	NUM
ejpam-4693	276	20	3.899e-15	3.899e-15	NUM
ejpam-4693	276	21	2	2	NUM
ejpam-4693	276	22	0.001	0.001	NUM
ejpam-4693	276	23	0.0010000000	0.0010000000	NUM
ejpam-4693	276	24	5.828e-26	5.828e-26	NUM
ejpam-4693	276	25	0.0009999999	0.0009999999	NUM
ejpam-4693	276	26	3.113e-18	3.113e-18	NUM
ejpam-4693	276	27	0.3	0.3	NUM
ejpam-4693	276	28	1	1	NUM
ejpam-4693	276	29	0.090	0.090	NUM
ejpam-4693	276	30	0.0899999999	0.0899999999	NUM
ejpam-4693	276	31	7.314e-15	7.314e-15	NUM
ejpam-4693	276	32	0.0899999999	0.0899999999	NUM
ejpam-4693	276	33	4.325e-12	4.325e-12	NUM
ejpam-4693	276	34	2	2	NUM
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ejpam-4693	276	36	0.0269999999	0.0269999999	NUM
ejpam-4693	276	37	1.689e-15	1.689e-15	NUM
ejpam-4693	276	38	0.0269999999	0.0269999999	NUM
ejpam-4693	276	39	4.316e-13	4.316e-13	NUM
ejpam-4693	276	40	0.5	0.5	NUM
ejpam-4693	276	41	1	1	NUM
ejpam-4693	276	42	0.250	0.250	NUM
ejpam-4693	276	43	0.2499999997	0.2499999997	NUM
ejpam-4693	276	44	2.022e-10	2.022e-10	NUM
ejpam-4693	276	45	0.2499999982	0.2499999982	NUM
ejpam-4693	276	46	1.763e-09	1.763e-09	NUM
ejpam-4693	276	47	2	2	NUM
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ejpam-4693	276	49	0.1249999998	0.1249999998	NUM
ejpam-4693	276	50	1.166e-10	1.166e-10	NUM
ejpam-4693	276	51	0.1249999992	0.1249999992	NUM
ejpam-4693	276	52	7.596e-10	7.596e-10	NUM
ejpam-4693	276	53	0.7	0.7	NUM
ejpam-4693	276	54	1	1	NUM
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ejpam-4693	276	58	0.4899995366	0.4899995366	NUM
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ejpam-4693	276	60	2	2	NUM
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ejpam-4693	276	64	0.3429996197	0.3429996197	NUM
ejpam-4693	276	65	3.802e-07	3.802e-07	NUM
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ejpam-4693	276	67	1	1	NUM
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ejpam-4693	276	72	7.649e-05	7.649e-05	NUM
ejpam-4693	276	73	2	2	NUM
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ejpam-4693	276	76	5.768e-05	5.768e-05	NUM
ejpam-4693	276	77	0.7289244930	0.7289244930	NUM
ejpam-4693	276	78	7.550e-05	7.550e-05	NUM
ejpam-4693	276	79	table	table	NOUN
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ejpam-4693	276	81	:	:	PUNCT
ejpam-4693	276	82	numerical	numerical	ADJ
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ejpam-4693	276	84	when	when	SCONJ
ejpam-4693	276	85	λ1	λ1	PROPN
ejpam-4693	276	86	=	=	SYM
ejpam-4693	276	87	0.5	0.5	NUM
ejpam-4693	276	88	,	,	PUNCT
ejpam-4693	276	89	λ2	λ2	NOUN
ejpam-4693	276	90	=	=	SYM
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ejpam-4693	276	92	for	for	ADP
ejpam-4693	276	93	(	(	PUNCT
ejpam-4693	276	94	problem	problem	NOUN
ejpam-4693	276	95	1	1	NUM
ejpam-4693	276	96	)	)	PUNCT
ejpam-4693	276	97	x	x	X
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ejpam-4693	277	3	(	(	PUNCT
ejpam-4693	277	4	x	x	NOUN
ejpam-4693	277	5	)	)	PUNCT
ejpam-4693	277	6	ham	ham	NOUN
ejpam-4693	277	7	h=-1	h=-1	PROPN
ejpam-4693	277	8	ae	ae	PROPN
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ejpam-4693	277	10	-	-	PUNCT
ejpam-4693	277	11	ga	ga	PROPN
ejpam-4693	277	12	h=-0.98213	h=-0.98213	NOUN
ejpam-4693	277	13	ae	ae	PROPN
ejpam-4693	277	14	0.1	0.1	NUM
ejpam-4693	277	15	1	1	NUM
ejpam-4693	277	16	0.010	0.010	NUM
ejpam-4693	277	17	0.010000000	0.010000000	NUM
ejpam-4693	277	18	3.302e-26	3.302e-26	NUM
ejpam-4693	277	19	0.009999999	0.009999999	NUM
ejpam-4693	277	20	1.884e-15	1.884e-15	NUM
ejpam-4693	277	21	2	2	NUM
ejpam-4693	277	22	0.001	0.001	NUM
ejpam-4693	277	23	0.001000000	0.001000000	NUM
ejpam-4693	277	24	2.305e-27	2.305e-27	NUM
ejpam-4693	277	25	0.000999999	0.000999999	NUM
ejpam-4693	277	26	2.043e-18	2.043e-18	NUM
ejpam-4693	277	27	0.3	0.3	NUM
ejpam-4693	277	28	1	1	NUM
ejpam-4693	277	29	0.090	0.090	NUM
ejpam-4693	277	30	0.089999999	0.089999999	NUM
ejpam-4693	277	31	1.152e-16	1.152e-16	NUM
ejpam-4693	277	32	0.089999999	0.089999999	NUM
ejpam-4693	277	33	1.040e-12	1.040e-12	NUM
ejpam-4693	277	34	2	2	NUM
ejpam-4693	277	35	0.027	0.027	NUM
ejpam-4693	277	36	0.026999999	0.026999999	NUM
ejpam-4693	277	37	5.883e-17	5.883e-17	NUM
ejpam-4693	277	38	0.026999999	0.026999999	NUM
ejpam-4693	277	39	1.718e-13	1.718e-13	NUM
ejpam-4693	277	40	0.5	0.5	NUM
ejpam-4693	277	41	1	1	NUM
ejpam-4693	277	42	0.250	0.250	NUM
ejpam-4693	277	43	0.249999999	0.249999999	NUM
ejpam-4693	277	44	3.432e-12	3.432e-12	NUM
ejpam-4693	277	45	0.249999999	0.249999999	NUM
ejpam-4693	277	46	1.340e-10	1.340e-10	NUM
ejpam-4693	277	47	2	2	NUM
ejpam-4693	277	48	0.125	0.125	NUM
ejpam-4693	277	49	0.124999999	0.124999999	NUM
ejpam-4693	277	50	3.983e-12	3.983e-12	NUM
ejpam-4693	277	51	0.124999999	0.124999999	NUM
ejpam-4693	277	52	9.760e-11	9.760e-11	NUM
ejpam-4693	277	53	0.7	0.7	NUM
ejpam-4693	277	54	1	1	NUM
ejpam-4693	277	55	0.490	0.490	NUM
ejpam-4693	277	56	0.489999995	0.489999995	NUM
ejpam-4693	277	57	4.232e-09	4.232e-09	NUM
ejpam-4693	277	58	0.489999979	0.489999979	NUM
ejpam-4693	277	59	2.034e-08	2.034e-08	NUM
ejpam-4693	277	60	2	2	NUM
ejpam-4693	277	61	0.343	0.343	NUM
ejpam-4693	277	62	0.342999990	0.342999990	NUM
ejpam-4693	277	63	9.081e-09	9.081e-09	NUM
ejpam-4693	277	64	0.342999975	0.342999975	NUM
ejpam-4693	277	65	2.470e-08	2.470e-08	NUM
ejpam-4693	277	66	0.9	0.9	NUM
ejpam-4693	277	67	1	1	NUM
ejpam-4693	277	68	0.810	0.810	NUM
ejpam-4693	277	69	0.809999004	0.809999004	NUM
ejpam-4693	277	70	9.954e-07	9.954e-07	NUM
ejpam-4693	277	71	0.809996725	0.809996725	NUM
ejpam-4693	277	72	3.274e-06	3.274e-06	NUM
ejpam-4693	277	73	2	2	NUM
ejpam-4693	277	74	0.729	0.729	NUM
ejpam-4693	277	75	0.728994536	0.728994536	NUM
ejpam-4693	277	76	5.463e-06	5.463e-06	NUM
ejpam-4693	277	77	0.728993970	0.728993970	NUM
ejpam-4693	277	78	6.029e-06	6.029e-06	NUM
ejpam-4693	278	1	rasha	rasha	PROPN
ejpam-4693	278	2	f.	f.	PROPN
ejpam-4693	278	3	ahmed	ahmed	PROPN
ejpam-4693	278	4	,	,	PUNCT
ejpam-4693	278	5	w.	w.	PROPN
ejpam-4693	278	6	al	al	PROPN
ejpam-4693	278	7	-	-	PUNCT
ejpam-4693	278	8	hayani	hayani	PROPN
ejpam-4693	278	9	,	,	PUNCT
ejpam-4693	278	10	a.	a.	PROPN
ejpam-4693	278	11	y.	y.	PROPN
ejpam-4693	278	12	al	al	PROPN
ejpam-4693	278	13	-	-	PUNCT
ejpam-4693	278	14	bayati	bayati	PROPN
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ejpam-4693	278	16	eur	eur	PROPN
ejpam-4693	278	17	.	.	PUNCT
ejpam-4693	279	1	j.	j.	PROPN
ejpam-4693	279	2	pure	pure	PROPN
ejpam-4693	279	3	appl	appl	PROPN
ejpam-4693	279	4	.	.	PROPN
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ejpam-4693	279	6	,	,	PUNCT
ejpam-4693	279	7	16	16	NUM
ejpam-4693	279	8	(	(	PUNCT
ejpam-4693	279	9	2	2	NUM
ejpam-4693	279	10	)	)	PUNCT
ejpam-4693	279	11	(	(	PUNCT
ejpam-4693	279	12	2023	2023	NUM
ejpam-4693	279	13	)	)	PUNCT
ejpam-4693	279	14	,	,	PUNCT
ejpam-4693	279	15	864	864	NUM
ejpam-4693	279	16	-	-	SYM
ejpam-4693	279	17	892	892	NUM
ejpam-4693	279	18	876	876	NUM
ejpam-4693	279	19	table	table	NOUN
ejpam-4693	279	20	3	3	NUM
ejpam-4693	279	21	:	:	PUNCT
ejpam-4693	279	22	mae	mae	PROPN
ejpam-4693	279	23	and	and	CCONJ
ejpam-4693	279	24	mre	mre	NOUN
ejpam-4693	279	25	of	of	ADP
ejpam-4693	279	26	ham	ham	PROPN
ejpam-4693	279	27	and	and	CCONJ
ejpam-4693	279	28	ham	ham	PROPN
ejpam-4693	279	29	-	-	PUNCT
ejpam-4693	279	30	ga	ga	PROPN
ejpam-4693	279	31	for	for	ADP
ejpam-4693	279	32	(	(	PUNCT
ejpam-4693	279	33	problem	problem	NOUN
ejpam-4693	279	34	1	1	NUM
ejpam-4693	279	35	)	)	PUNCT
ejpam-4693	279	36	ham	ham	NOUN
ejpam-4693	279	37	λ1	λ1	ADJ
ejpam-4693	279	38	=	=	SYM
ejpam-4693	279	39	λ2	λ2	PROPN
ejpam-4693	279	40	=	=	SYM
ejpam-4693	279	41	1h	1h	NUM
ejpam-4693	279	42	=	=	SYM
ejpam-4693	279	43	−1	−1	NOUN
ejpam-4693	279	44	ham	ham	PROPN
ejpam-4693	279	45	-	-	PUNCT
ejpam-4693	279	46	ga	ga	NOUN
ejpam-4693	279	47	λ1	λ1	PROPN
ejpam-4693	279	48	=	=	SYM
ejpam-4693	279	49	λ2	λ2	PROPN
ejpam-4693	279	50	=	=	SYM
ejpam-4693	279	51	1	1	NUM
ejpam-4693	279	52	,	,	PUNCT
ejpam-4693	279	53	h	h	NOUN
ejpam-4693	279	54	=	=	NOUN
ejpam-4693	280	1	−0.98213	−0.98213	NOUN
ejpam-4693	280	2	m	m	VERB
ejpam-4693	280	3	i	i	PRON
ejpam-4693	280	4	mae	mae	PROPN
ejpam-4693	280	5	mre	mre	PROPN
ejpam-4693	280	6	mae	mae	PROPN
ejpam-4693	280	7	mre	mre	PROPN
ejpam-4693	280	8	2	2	NUM
ejpam-4693	280	9	1	1	NUM
ejpam-4693	280	10	5.877e-02	5.877e-02	NUM
ejpam-4693	280	11	1.308e-02	1.308e-02	NUM
ejpam-4693	280	12	6.308e-02	6.308e-02	NUM
ejpam-4693	280	13	1.434e-02	1.434e-02	NUM
ejpam-4693	280	14	2	2	NUM
ejpam-4693	280	15	6.413e-02	6.413e-02	NUM
ejpam-4693	280	16	1.935e-02	1.935e-02	NUM
ejpam-4693	280	17	6.298e-02	6.298e-02	NUM
ejpam-4693	280	18	1.858e-02	1.858e-02	NUM
ejpam-4693	280	19	3	3	NUM
ejpam-4693	280	20	1	1	NUM
ejpam-4693	280	21	2.574e-02	2.574e-02	NUM
ejpam-4693	280	22	6.445e-03	6.445e-03	NUM
ejpam-4693	280	23	2.698e-02	2.698e-02	NUM
ejpam-4693	280	24	6.684e-03	6.684e-03	NUM
ejpam-4693	280	25	2	2	NUM
ejpam-4693	280	26	1.335e-02	1.335e-02	NUM
ejpam-4693	280	27	3.409e-03	3.409e-03	NUM
ejpam-4693	280	28	1.513e-02	1.513e-02	NUM
ejpam-4693	280	29	3.957e-03	3.957e-03	NUM
ejpam-4693	280	30	4	4	NUM
ejpam-4693	280	31	1	1	NUM
ejpam-4693	280	32	5.897e-03	5.897e-03	NUM
ejpam-4693	280	33	1.379e-03	1.379e-03	NUM
ejpam-4693	280	34	6.974e-03	6.974e-03	NUM
ejpam-4693	280	35	1.651e-03	1.651e-03	NUM
ejpam-4693	280	36	2	2	NUM
ejpam-4693	280	37	6.426e-03	6.426e-03	NUM
ejpam-4693	280	38	1.897e-03	1.897e-03	NUM
ejpam-4693	280	39	6.839e-03	6.839e-03	NUM
ejpam-4693	280	40	1.990e-03	1.990e-03	NUM
ejpam-4693	280	41	5	5	NUM
ejpam-4693	280	42	1	1	NUM
ejpam-4693	280	43	2.390e-03	2.390e-03	NUM
ejpam-4693	280	44	6.002e-04	6.002e-04	NUM
ejpam-4693	280	45	2.672e-03	2.672e-03	NUM
ejpam-4693	280	46	6.635e-04	6.635e-04	NUM
ejpam-4693	280	47	2	2	NUM
ejpam-4693	280	48	1.947e-03	1.947e-03	NUM
ejpam-4693	280	49	5.564e-04	5.564e-04	NUM
ejpam-4693	280	50	2.273e-03	2.273e-03	NUM
ejpam-4693	280	51	6.527e-04	6.527e-04	NUM
ejpam-4693	280	52	6	6	NUM
ejpam-4693	280	53	1	1	NUM
ejpam-4693	280	54	6.738e-04	6.738e-04	NUM
ejpam-4693	280	55	1.679e-04	1.679e-04	NUM
ejpam-4693	280	56	8.337e-04	8.337e-04	NUM
ejpam-4693	280	57	2.078e-04	2.078e-04	NUM
ejpam-4693	280	58	2	2	NUM
ejpam-4693	280	59	7.095e-04	7.095e-04	NUM
ejpam-4693	280	60	2.088e-04	2.088e-04	NUM
ejpam-4693	280	61	8.304e-04	8.304e-04	NUM
ejpam-4693	280	62	2.429e-04	2.429e-04	NUM
ejpam-4693	280	63	table	table	NOUN
ejpam-4693	280	64	4	4	NUM
ejpam-4693	280	65	:	:	PUNCT
ejpam-4693	280	66	mae	mae	PROPN
ejpam-4693	280	67	and	and	CCONJ
ejpam-4693	280	68	mre	mre	PROPN
ejpam-4693	280	69	of	of	ADP
ejpam-4693	280	70	ham	ham	PROPN
ejpam-4693	280	71	-	-	PUNCT
ejpam-4693	280	72	ga	ga	PROPN
ejpam-4693	280	73	for	for	ADP
ejpam-4693	280	74	(	(	PUNCT
ejpam-4693	280	75	problem	problem	NOUN
ejpam-4693	280	76	1	1	NUM
ejpam-4693	280	77	)	)	PUNCT
ejpam-4693	280	78	ham	ham	PROPN
ejpam-4693	280	79	-	-	PUNCT
ejpam-4693	280	80	ga	ga	NOUN
ejpam-4693	280	81	λ1	λ1	PROPN
ejpam-4693	280	82	=	=	SYM
ejpam-4693	280	83	0.5	0.5	NUM
ejpam-4693	280	84	,	,	PUNCT
ejpam-4693	280	85	λ2	λ2	NOUN
ejpam-4693	280	86	=	=	SYM
ejpam-4693	280	87	1.33838	1.33838	NUM
ejpam-4693	280	88	,	,	PUNCT
ejpam-4693	280	89	h	h	NOUN
ejpam-4693	280	90	=	=	NOUN
ejpam-4693	280	91	−1	−1	NOUN
ejpam-4693	280	92	ham	ham	PROPN
ejpam-4693	280	93	-	-	PUNCT
ejpam-4693	280	94	ga	ga	NOUN
ejpam-4693	280	95	λ1	λ1	PROPN
ejpam-4693	280	96	=	=	SYM
ejpam-4693	280	97	0.5	0.5	NUM
ejpam-4693	280	98	,	,	PUNCT
ejpam-4693	280	99	λ2	λ2	NOUN
ejpam-4693	280	100	=	=	SYM
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ejpam-4693	280	102	,	,	PUNCT
ejpam-4693	280	103	h	h	NOUN
ejpam-4693	280	104	=	=	NOUN
ejpam-4693	281	1	−0.98213	−0.98213	NOUN
ejpam-4693	281	2	m	m	VERB
ejpam-4693	281	3	i	i	PRON
ejpam-4693	281	4	mae	mae	PROPN
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ejpam-4693	281	8	2	2	NUM
ejpam-4693	281	9	1	1	NUM
ejpam-4693	281	10	1.551e-02	1.551e-02	NUM
ejpam-4693	281	11	3.520e-03	3.520e-03	NUM
ejpam-4693	281	12	1.792e-02	1.792e-02	NUM
ejpam-4693	281	13	4.297e-03	4.297e-03	NUM
ejpam-4693	281	14	2	2	NUM
ejpam-4693	281	15	4.800e-02	4.800e-02	NUM
ejpam-4693	281	16	1.655e-02	1.655e-02	NUM
ejpam-4693	281	17	4.714e-02	4.714e-02	NUM
ejpam-4693	281	18	1.596e-02	1.596e-02	NUM
ejpam-4693	281	19	3	3	NUM
ejpam-4693	281	20	1	1	NUM
ejpam-4693	281	21	6.088e-03	6.088e-03	NUM
ejpam-4693	281	22	1.764e-03	1.764e-03	NUM
ejpam-4693	281	23	6.465e-03	6.465e-03	NUM
ejpam-4693	281	24	1.833e-03	1.833e-03	NUM
ejpam-4693	281	25	2	2	NUM
ejpam-4693	281	26	1.283e-04	1.283e-04	NUM
ejpam-4693	281	27	3.189e-04	3.189e-04	NUM
ejpam-4693	281	28	1.772e-03	1.772e-03	NUM
ejpam-4693	281	29	3.028e-04	3.028e-04	NUM
ejpam-4693	281	30	4	4	NUM
ejpam-4693	281	31	1	1	NUM
ejpam-4693	281	32	3.162e-04	3.162e-04	NUM
ejpam-4693	281	33	5.617e-05	5.617e-05	NUM
ejpam-4693	281	34	6.297e-04	6.297e-04	NUM
ejpam-4693	281	35	1.475e-04	1.475e-04	NUM
ejpam-4693	281	36	2	2	NUM
ejpam-4693	281	37	2.101e-03	2.101e-03	NUM
ejpam-4693	281	38	6.938e-04	6.938e-04	NUM
ejpam-4693	281	39	2.040e-03	2.040e-03	NUM
ejpam-4693	281	40	6.561e-04	6.561e-04	NUM
ejpam-4693	281	41	5	5	NUM
ejpam-4693	281	42	1	1	NUM
ejpam-4693	281	43	3.177e-04	3.177e-04	NUM
ejpam-4693	281	44	9.251e-05	9.251e-05	NUM
ejpam-4693	281	45	3.286e-04	3.286e-04	NUM
ejpam-4693	281	46	9.307e-05	9.307e-05	NUM
ejpam-4693	281	47	2	2	NUM
ejpam-4693	281	48	1.741e-06	1.741e-06	NUM
ejpam-4693	281	49	1.322e-05	1.322e-05	NUM
ejpam-4693	281	50	1.426e-04	1.426e-04	NUM
ejpam-4693	281	51	3.460e-05	3.460e-05	NUM
ejpam-4693	281	52	6	6	NUM
ejpam-4693	281	53	4.388e-06	4.388e-06	NUM
ejpam-4693	281	54	2.567e-07	2.567e-07	NUM
ejpam-4693	281	55	3.172e-05	3.172e-05	NUM
ejpam-4693	281	56	7.968e-06	7.968e-06	NUM
ejpam-4693	281	57	9.404e-05	9.404e-05	NUM
ejpam-4693	281	58	3.052e-05	3.052e-05	NUM
ejpam-4693	281	59	9.224e-05	9.224e-05	NUM
ejpam-4693	281	60	2.888e-05	2.888e-05	NUM
ejpam-4693	281	61	rasha	rasha	PROPN
ejpam-4693	281	62	f.	f.	PROPN
ejpam-4693	281	63	ahmed	ahmed	PROPN
ejpam-4693	281	64	,	,	PUNCT
ejpam-4693	281	65	w.	w.	PROPN
ejpam-4693	281	66	al	al	PROPN
ejpam-4693	281	67	-	-	PUNCT
ejpam-4693	281	68	hayani	hayani	PROPN
ejpam-4693	281	69	,	,	PUNCT
ejpam-4693	281	70	a.	a.	PROPN
ejpam-4693	281	71	y.	y.	PROPN
ejpam-4693	281	72	al	al	PROPN
ejpam-4693	281	73	-	-	PUNCT
ejpam-4693	281	74	bayati	bayati	PROPN
ejpam-4693	281	75	/	/	SYM
ejpam-4693	281	76	eur	eur	PROPN
ejpam-4693	281	77	.	.	PUNCT
ejpam-4693	282	1	j.	j.	PROPN
ejpam-4693	282	2	pure	pure	PROPN
ejpam-4693	282	3	appl	appl	PROPN
ejpam-4693	282	4	.	.	PROPN
ejpam-4693	282	5	math	math	PROPN
ejpam-4693	282	6	,	,	PUNCT
ejpam-4693	282	7	16	16	NUM
ejpam-4693	282	8	(	(	PUNCT
ejpam-4693	282	9	2	2	NUM
ejpam-4693	282	10	)	)	PUNCT
ejpam-4693	282	11	(	(	PUNCT
ejpam-4693	282	12	2023	2023	NUM
ejpam-4693	282	13	)	)	PUNCT
ejpam-4693	282	14	,	,	PUNCT
ejpam-4693	282	15	864	864	NUM
ejpam-4693	282	16	-	-	SYM
ejpam-4693	282	17	892	892	NUM
ejpam-4693	282	18	877	877	NUM
ejpam-4693	282	19	table	table	NOUN
ejpam-4693	282	20	5	5	NUM
ejpam-4693	282	21	:	:	PUNCT
ejpam-4693	282	22	errors	error	NOUN
ejpam-4693	282	23	on	on	ADP
ejpam-4693	282	24	the	the	DET
ejpam-4693	282	25	interval	interval	NOUN
ejpam-4693	282	26	h	h	NOUN
ejpam-4693	282	27	-	-	PUNCT
ejpam-4693	282	28	curves	curve	NOUN
ejpam-4693	282	29	for	for	ADP
ejpam-4693	282	30	(	(	PUNCT
ejpam-4693	282	31	problem	problem	NOUN
ejpam-4693	282	32	1	1	NUM
ejpam-4693	282	33	)	)	PUNCT
ejpam-4693	282	34	when	when	SCONJ
ejpam-4693	282	35	λ1	λ1	ADJ
ejpam-4693	282	36	=	=	SYM
ejpam-4693	282	37	λ2	λ2	NOUN
ejpam-4693	282	38	=	=	SYM
ejpam-4693	282	39	1	1	NUM
ejpam-4693	282	40	x	x	SYM
ejpam-4693	282	41	i	i	PRON
ejpam-4693	282	42	h=-1.2	h=-1.2	VERB
ejpam-4693	282	43	h=-0.98213	h=-0.98213	X
ejpam-4693	282	44	h=-1	h=-1	ADV
ejpam-4693	282	45	h=-0.8	h=-0.8	PROPN
ejpam-4693	282	46	-0.9	-0.9	PROPN
ejpam-4693	282	47	1	1	NUM
ejpam-4693	282	48	2.260e-03	2.260e-03	NUM
ejpam-4693	282	49	1.646e-05	1.646e-05	NUM
ejpam-4693	282	50	3.642e-05	3.642e-05	NUM
ejpam-4693	282	51	5.252e-06	5.252e-06	NUM
ejpam-4693	282	52	2	2	NUM
ejpam-4693	282	53	3.258e-03	3.258e-03	NUM
ejpam-4693	282	54	5.517e-05	5.517e-05	NUM
ejpam-4693	282	55	9.355e-05	9.355e-05	NUM
ejpam-4693	282	56	2.752e-06	2.752e-06	NUM
ejpam-4693	282	57	-0.7	-0.7	PROPN
ejpam-4693	282	58	1	1	NUM
ejpam-4693	282	59	9.179e-05	9.179e-05	NUM
ejpam-4693	282	60	5.215e-08	5.215e-08	NOUN
ejpam-4693	282	61	2.007e-07	2.007e-07	NUM
ejpam-4693	282	62	1.512e-06	1.512e-06	NUM
ejpam-4693	282	63	2	2	NUM
ejpam-4693	282	64	7.466e-05	7.466e-05	NUM
ejpam-4693	282	65	9.922e-08	9.922e-08	NUM
ejpam-4693	282	66	3.115e-07	3.115e-07	NUM
ejpam-4693	282	67	2.430e-06	2.430e-06	NUM
ejpam-4693	282	68	-0.5	-0.5	NUM
ejpam-4693	282	69	1	1	NUM
ejpam-4693	282	70	4.730e-06	4.730e-06	NUM
ejpam-4693	282	71	2.689e-12	2.689e-12	NUM
ejpam-4693	282	72	2.133e-10	2.133e-10	NUM
ejpam-4693	282	73	1.005e-06	1.005e-06	NUM
ejpam-4693	282	74	2	2	NUM
ejpam-4693	282	75	1.023e-06	1.023e-06	NUM
ejpam-4693	282	76	3.624e-12	3.624e-12	NUM
ejpam-4693	282	77	1.693e-10	1.693e-10	NUM
ejpam-4693	282	78	2.430e-07	2.430e-07	NUM
ejpam-4693	282	79	-0.3	-0.3	NUM
ejpam-4693	282	80	1	1	NUM
ejpam-4693	282	81	1.895e-07	1.895e-07	NUM
ejpam-4693	282	82	9.567e-14	9.567e-14	NUM
ejpam-4693	282	83	7.451e-15	7.451e-15	NUM
ejpam-4693	282	84	1.354e-07	1.354e-07	NUM
ejpam-4693	282	85	2	2	NUM
ejpam-4693	282	86	3.866e-09	3.866e-09	NUM
ejpam-4693	282	87	4.992e-14	4.992e-14	NUM
ejpam-4693	282	88	2.062e-15	2.062e-15	NUM
ejpam-4693	282	89	2.089e-09	2.089e-09	NUM
ejpam-4693	282	90	-0.1	-0.1	NOUN
ejpam-4693	282	91	1	1	NUM
ejpam-4693	282	92	6.448e-10	6.448e-10	NUM
ejpam-4693	282	93	3.398e-15	3.398e-15	NUM
ejpam-4693	282	94	2.115e-24	2.115e-24	NUM
ejpam-4693	282	95	6.368e-10	6.368e-10	NUM
ejpam-4693	282	96	2	2	NUM
ejpam-4693	282	97	5.785e-14	5.785e-14	NUM
ejpam-4693	282	98	2.886e-18	2.886e-18	NUM
ejpam-4693	282	99	6.186e-26	6.186e-26	NUM
ejpam-4693	282	100	3.829e-14	3.829e-14	NUM
ejpam-4693	282	101	0.1	0.1	NUM
ejpam-4693	282	102	1	1	NUM
ejpam-4693	282	103	6.352e-10	6.352e-10	NUM
ejpam-4693	282	104	3.899e-15	3.899e-15	NUM
ejpam-4693	282	105	2.113e-24	2.113e-24	NUM
ejpam-4693	282	106	6.432e-10	6.432e-10	NUM
ejpam-4693	282	107	2	2	NUM
ejpam-4693	282	108	5.736e-14	5.736e-14	NUM
ejpam-4693	282	109	3.113e-18	3.113e-18	NUM
ejpam-4693	282	110	5.828e-26	5.828e-26	NUM
ejpam-4693	282	111	3.849e-14	3.849e-14	NUM
ejpam-4693	282	112	0.3	0.3	NUM
ejpam-4693	282	113	1	1	NUM
ejpam-4693	282	114	1.267e-10	1.267e-10	NUM
ejpam-4693	282	115	4.325e-12	4.325e-12	NUM
ejpam-4693	282	116	7.314e-15	7.314e-15	NUM
ejpam-4693	282	117	1.778e-07	1.778e-07	NUM
ejpam-4693	282	118	2	2	NUM
ejpam-4693	282	119	3.074e-09	3.074e-09	NUM
ejpam-4693	282	120	4.316e-13	4.316e-13	NUM
ejpam-4693	282	121	1.689e-15	1.689e-15	NUM
ejpam-4693	282	122	2.412e-09	2.412e-09	NUM
ejpam-4693	282	123	0.5	0.5	NUM
ejpam-4693	282	124	1	1	NUM
ejpam-4693	282	125	7.503e-07	7.503e-07	NUM
ejpam-4693	282	126	1.763e-09	1.763e-09	NUM
ejpam-4693	282	127	2.022e-10	2.022e-10	NUM
ejpam-4693	283	1	3.644e-06	3.644e-06	NUM
ejpam-4693	283	2	2	2	NUM
ejpam-4693	283	3	3.825e-07	3.825e-07	NUM
ejpam-4693	283	4	7.596e-10	7.596e-10	NUM
ejpam-4693	283	5	1.166e-10	1.166e-10	NUM
ejpam-4693	283	6	4.909e-07	4.909e-07	NUM
ejpam-4693	283	7	0.7	0.7	NUM
ejpam-4693	283	8	1	1	NUM
ejpam-4693	283	9	2.699e-06	2.699e-06	NUM
ejpam-4693	283	10	4.633e-07	4.633e-07	NUM
ejpam-4693	283	11	2.048e-07	2.048e-07	NUM
ejpam-4693	283	12	5.064e-05	5.064e-05	NUM
ejpam-4693	283	13	2	2	NUM
ejpam-4693	283	14	9.241e-06	9.241e-06	NUM
ejpam-4693	283	15	3.802e-07	3.802e-07	NUM
ejpam-4693	283	16	1.865e-07	1.865e-07	NUM
ejpam-4693	283	17	2.237e-05	2.237e-05	NUM
ejpam-4693	283	18	0.9	0.9	NUM
ejpam-4693	283	19	1	1	NUM
ejpam-4693	283	20	1.872e-04	1.872e-04	NUM
ejpam-4693	283	21	7.649e-05	7.649e-05	NUM
ejpam-4693	283	22	5.535e-05	5.535e-05	NUM
ejpam-4693	283	23	8.640e-04	8.640e-04	NUM
ejpam-4693	283	24	2	2	NUM
ejpam-4693	283	25	2.275e-04	2.275e-04	NUM
ejpam-4693	283	26	7.550e-05	7.550e-05	NUM
ejpam-4693	283	27	5.768e-05	5.768e-05	NUM
ejpam-4693	283	28	6.502e-04	6.502e-04	NUM
ejpam-4693	283	29	in	in	ADP
ejpam-4693	283	30	figures	figure	NOUN
ejpam-4693	283	31	2	2	NUM
ejpam-4693	283	32	and	and	CCONJ
ejpam-4693	283	33	3	3	NUM
ejpam-4693	283	34	,	,	PUNCT
ejpam-4693	283	35	an	an	DET
ejpam-4693	283	36	illustration	illustration	NOUN
ejpam-4693	283	37	shows	show	VERB
ejpam-4693	283	38	how	how	SCONJ
ejpam-4693	283	39	well	well	ADV
ejpam-4693	283	40	the	the	DET
ejpam-4693	283	41	exact	exact	ADJ
ejpam-4693	283	42	solution	solution	NOUN
ejpam-4693	283	43	matches	match	NOUN
ejpam-4693	283	44	with	with	ADP
ejpam-4693	283	45	the	the	DET
ejpam-4693	283	46	approximate	approximate	ADJ
ejpam-4693	283	47	solution	solution	NOUN
ejpam-4693	283	48	using	use	VERB
ejpam-4693	283	49	the	the	DET
ejpam-4693	283	50	genetic	genetic	ADJ
ejpam-4693	283	51	algorithm	algorithm	NOUN
ejpam-4693	283	52	h=-0.98213	h=-0.98213	ADP
ejpam-4693	283	53	with	with	ADP
ejpam-4693	283	54	λ1	λ1	ADJ
ejpam-4693	283	55	=	=	SYM
ejpam-4693	283	56	λ2	λ2	NOUN
ejpam-4693	283	57	=	=	SYM
ejpam-4693	283	58	1	1	X
ejpam-4693	283	59	.	.	PUNCT
ejpam-4693	284	1	in	in	ADP
ejpam-4693	284	2	figures	figure	NOUN
ejpam-4693	284	3	4	4	NUM
ejpam-4693	284	4	and	and	CCONJ
ejpam-4693	284	5	5	5	NUM
ejpam-4693	284	6	present	present	VERB
ejpam-4693	284	7	the	the	DET
ejpam-4693	284	8	h	h	NOUN
ejpam-4693	284	9	-	-	PUNCT
ejpam-4693	284	10	curves	curve	NOUN
ejpam-4693	284	11	for	for	ADP
ejpam-4693	284	12	(	(	PUNCT
ejpam-4693	284	13	problem	problem	NOUN
ejpam-4693	284	14	1	1	NUM
ejpam-4693	284	15	)	)	PUNCT
ejpam-4693	284	16	when	when	SCONJ
ejpam-4693	284	17	λ1	λ1	ADJ
ejpam-4693	284	18	=	=	SYM
ejpam-4693	284	19	λ2	λ2	PROPN
ejpam-4693	284	20	=	=	SYM
ejpam-4693	284	21	1	1	X
ejpam-4693	284	22	.	.	X
ejpam-4693	285	1	we	we	PRON
ejpam-4693	285	2	present	present	VERB
ejpam-4693	285	3	the	the	DET
ejpam-4693	285	4	error	error	NOUN
ejpam-4693	285	5	residual	residual	ADJ
ejpam-4693	285	6	er	er	INTJ
ejpam-4693	285	7	(	(	PUNCT
ejpam-4693	285	8	ui	ui	PROPN
ejpam-4693	285	9	(	(	PUNCT
ejpam-4693	285	10	x	x	NOUN
ejpam-4693	285	11	)	)	PUNCT
ejpam-4693	285	12	)	)	PUNCT
ejpam-4693	285	13	,	,	PUNCT
ejpam-4693	285	14	i	i	PRON
ejpam-4693	285	15	=	=	NOUN
ejpam-4693	285	16	1	1	NUM
ejpam-4693	285	17	,	,	PUNCT
ejpam-4693	285	18	2	2	NUM
ejpam-4693	285	19	of	of	ADP
ejpam-4693	285	20	ham	ham	NOUN
ejpam-4693	285	21	-	-	PUNCT
ejpam-4693	285	22	ga	ga	PROPN
ejpam-4693	285	23	when	when	SCONJ
ejpam-4693	285	24	λ1	λ1	PROPN
ejpam-4693	285	25	=	=	SYM
ejpam-4693	285	26	0.5	0.5	NUM
ejpam-4693	285	27	,	,	PUNCT
ejpam-4693	285	28	λ2	λ2	NOUN
ejpam-4693	285	29	=	=	SYM
ejpam-4693	285	30	1.33838	1.33838	NUM
ejpam-4693	285	31	,	,	PUNCT
ejpam-4693	285	32	h	h	NOUN
ejpam-4693	285	33	=	=	NOUN
ejpam-4693	285	34	−0.98213	−0.98213	NOUN
ejpam-4693	285	35	in	in	ADP
ejpam-4693	285	36	figures	figure	NOUN
ejpam-4693	285	37	6	6	NUM
ejpam-4693	285	38	and	and	CCONJ
ejpam-4693	285	39	7	7	NUM
ejpam-4693	285	40	.	.	PUNCT
ejpam-4693	286	1	the	the	DET
ejpam-4693	286	2	cpu	cpu	NOUN
ejpam-4693	286	3	time	time	NOUN
ejpam-4693	286	4	=	=	NOUN
ejpam-4693	286	5	1.188	1.188	NUM
ejpam-4693	286	6	seconds	second	NOUN
ejpam-4693	286	7	.	.	PUNCT
ejpam-4693	287	1	figure	figure	NOUN
ejpam-4693	287	2	2	2	NUM
ejpam-4693	287	3	:	:	PUNCT
ejpam-4693	287	4	line	line	NOUN
ejpam-4693	287	5	:	:	PUNCT
ejpam-4693	287	6	uexact1	uexact1	X
ejpam-4693	287	7	(	(	PUNCT
ejpam-4693	287	8	x	x	X
ejpam-4693	287	9	)	)	PUNCT
ejpam-4693	287	10	,	,	PUNCT
ejpam-4693	287	11	o	o	NOUN
ejpam-4693	287	12	:	:	PUNCT
ejpam-4693	287	13	ham	ham	NOUN
ejpam-4693	287	14	−ga1(x	−ga1(x	NOUN
ejpam-4693	287	15	)	)	PUNCT
ejpam-4693	287	16	figure	figure	NOUN
ejpam-4693	287	17	3	3	NUM
ejpam-4693	287	18	:	:	PUNCT
ejpam-4693	287	19	line	line	NOUN
ejpam-4693	287	20	:	:	PUNCT
ejpam-4693	287	21	uexact2	uexact2	NOUN
ejpam-4693	287	22	(	(	PUNCT
ejpam-4693	287	23	x	x	X
ejpam-4693	287	24	)	)	PUNCT
ejpam-4693	287	25	,	,	PUNCT
ejpam-4693	288	1	o	o	NOUN
ejpam-4693	288	2	:	:	PUNCT
ejpam-4693	288	3	ham	ham	NOUN
ejpam-4693	288	4	−ga2(x	−ga2(x	NOUN
ejpam-4693	288	5	)	)	PUNCT
ejpam-4693	288	6	rasha	rasha	PROPN
ejpam-4693	288	7	f.	f.	PROPN
ejpam-4693	288	8	ahmed	ahmed	PROPN
ejpam-4693	288	9	,	,	PUNCT
ejpam-4693	288	10	w.	w.	PROPN
ejpam-4693	288	11	al	al	PROPN
ejpam-4693	288	12	-	-	PUNCT
ejpam-4693	288	13	hayani	hayani	PROPN
ejpam-4693	288	14	,	,	PUNCT
ejpam-4693	288	15	a.	a.	PROPN
ejpam-4693	288	16	y.	y.	PROPN
ejpam-4693	288	17	al	al	PROPN
ejpam-4693	288	18	-	-	PUNCT
ejpam-4693	288	19	bayati	bayati	PROPN
ejpam-4693	288	20	/	/	SYM
ejpam-4693	288	21	eur	eur	PROPN
ejpam-4693	288	22	.	.	PUNCT
ejpam-4693	289	1	j.	j.	PROPN
ejpam-4693	289	2	pure	pure	PROPN
ejpam-4693	289	3	appl	appl	PROPN
ejpam-4693	289	4	.	.	PROPN
ejpam-4693	289	5	math	math	PROPN
ejpam-4693	289	6	,	,	PUNCT
ejpam-4693	289	7	16	16	NUM
ejpam-4693	289	8	(	(	PUNCT
ejpam-4693	289	9	2	2	NUM
ejpam-4693	289	10	)	)	PUNCT
ejpam-4693	289	11	(	(	PUNCT
ejpam-4693	289	12	2023	2023	NUM
ejpam-4693	289	13	)	)	PUNCT
ejpam-4693	289	14	,	,	PUNCT
ejpam-4693	289	15	864	864	NUM
ejpam-4693	289	16	-	-	SYM
ejpam-4693	289	17	892	892	NUM
ejpam-4693	289	18	878	878	NUM
ejpam-4693	289	19	figure	figure	NOUN
ejpam-4693	289	20	4	4	NUM
ejpam-4693	289	21	:	:	PUNCT
ejpam-4693	289	22	h	h	NOUN
ejpam-4693	289	23	-	-	PUNCT
ejpam-4693	289	24	curve	curve	NOUN
ejpam-4693	289	25	for	for	ADP
ejpam-4693	289	26	u′	u′	PROPN
ejpam-4693	289	27	1	1	NUM
ejpam-4693	289	28	(	(	PUNCT
ejpam-4693	289	29	0.4	0.4	NUM
ejpam-4693	289	30	,	,	PUNCT
ejpam-4693	289	31	h	h	NOUN
ejpam-4693	289	32	)	)	PUNCT
ejpam-4693	289	33	figure	figure	NOUN
ejpam-4693	289	34	5	5	NUM
ejpam-4693	289	35	:	:	PUNCT
ejpam-4693	289	36	h	h	NOUN
ejpam-4693	289	37	-	-	PUNCT
ejpam-4693	289	38	curve	curve	NOUN
ejpam-4693	289	39	for	for	ADP
ejpam-4693	289	40	u′	u′	PROPN
ejpam-4693	289	41	2	2	NUM
ejpam-4693	289	42	(	(	PUNCT
ejpam-4693	289	43	0.4	0.4	NUM
ejpam-4693	289	44	,	,	PUNCT
ejpam-4693	289	45	h	h	NOUN
ejpam-4693	289	46	)	)	PUNCT
ejpam-4693	289	47	figure	figure	NOUN
ejpam-4693	289	48	6	6	NUM
ejpam-4693	289	49	:	:	PUNCT
ejpam-4693	289	50	er	er	INTJ
ejpam-4693	289	51	(	(	PUNCT
ejpam-4693	289	52	u1	u1	PROPN
ejpam-4693	289	53	(	(	PUNCT
ejpam-4693	289	54	x	x	NOUN
ejpam-4693	289	55	)	)	PUNCT
ejpam-4693	289	56	)	)	PUNCT
ejpam-4693	289	57	of	of	ADP
ejpam-4693	289	58	ham	ham	PROPN
ejpam-4693	289	59	-	-	PUNCT
ejpam-4693	289	60	ga	ga	NOUN
ejpam-4693	289	61	figure	figure	NOUN
ejpam-4693	289	62	7	7	NUM
ejpam-4693	289	63	:	:	PUNCT
ejpam-4693	289	64	er	er	INTJ
ejpam-4693	289	65	(	(	PUNCT
ejpam-4693	289	66	u2	u2	PROPN
ejpam-4693	289	67	(	(	PUNCT
ejpam-4693	289	68	x	x	NOUN
ejpam-4693	289	69	)	)	PUNCT
ejpam-4693	289	70	)	)	PUNCT
ejpam-4693	289	71	of	of	ADP
ejpam-4693	289	72	ham	ham	PROPN
ejpam-4693	289	73	-	-	PUNCT
ejpam-4693	289	74	ga	ga	NOUN
ejpam-4693	289	75	problem	problem	NOUN
ejpam-4693	289	76	2	2	X
ejpam-4693	289	77	.	.	PUNCT
ejpam-4693	290	1	let	let	VERB
ejpam-4693	290	2	us	we	PRON
ejpam-4693	290	3	consider	consider	VERB
ejpam-4693	290	4	the	the	DET
ejpam-4693	290	5	following	follow	VERB
ejpam-4693	290	6	nlsvies	nlsvie	NOUN
ejpam-4693	290	7	[	[	X
ejpam-4693	290	8	8	8	X
ejpam-4693	290	9	]	]	X
ejpam-4693	290	10	{	{	PUNCT
ejpam-4693	290	11	u1	u1	PROPN
ejpam-4693	290	12	(	(	PUNCT
ejpam-4693	290	13	x	x	NOUN
ejpam-4693	290	14	)	)	PUNCT
ejpam-4693	290	15	=	=	SYM
ejpam-4693	290	16	f1	f1	NOUN
ejpam-4693	290	17	(	(	PUNCT
ejpam-4693	290	18	x	x	NOUN
ejpam-4693	290	19	)	)	PUNCT
ejpam-4693	290	20	+	+	CCONJ
ejpam-4693	291	1	λ1	λ1	ADJ
ejpam-4693	291	2	∫	∫	PROPN
ejpam-4693	291	3	x	x	SYM
ejpam-4693	291	4	0	0	NUM
ejpam-4693	291	5	(	(	PUNCT
ejpam-4693	291	6	u21	u21	PROPN
ejpam-4693	291	7	(	(	PUNCT
ejpam-4693	291	8	t	t	PROPN
ejpam-4693	291	9	)	)	PUNCT
ejpam-4693	291	10	+	+	NUM
ejpam-4693	291	11	u22(t	u22(t	NOUN
ejpam-4693	291	12	)	)	PUNCT
ejpam-4693	291	13	)	)	PUNCT
ejpam-4693	292	1	dt	dt	X
ejpam-4693	292	2	,	,	PUNCT
ejpam-4693	292	3	u2	u2	PROPN
ejpam-4693	292	4	(	(	PUNCT
ejpam-4693	292	5	x	x	NOUN
ejpam-4693	292	6	)	)	PUNCT
ejpam-4693	292	7	=	=	SYM
ejpam-4693	292	8	f2	f2	PROPN
ejpam-4693	292	9	(	(	PUNCT
ejpam-4693	292	10	x	x	NOUN
ejpam-4693	292	11	)	)	PUNCT
ejpam-4693	293	1	+	+	NUM
ejpam-4693	293	2	λ2	λ2	NOUN
ejpam-4693	293	3	∫	∫	PROPN
ejpam-4693	293	4	x	x	X
ejpam-4693	293	5	0	0	NUM
ejpam-4693	293	6	u1(t)u2(t)dt	u1(t)u2(t)dt	PROPN
ejpam-4693	293	7	,	,	PUNCT
ejpam-4693	293	8	,	,	PUNCT
ejpam-4693	293	9	(	(	PUNCT
ejpam-4693	293	10	31	31	NUM
ejpam-4693	293	11	)	)	PUNCT
ejpam-4693	293	12	rasha	rasha	PROPN
ejpam-4693	293	13	f.	f.	PROPN
ejpam-4693	293	14	ahmed	ahmed	PROPN
ejpam-4693	293	15	,	,	PUNCT
ejpam-4693	293	16	w.	w.	PROPN
ejpam-4693	293	17	al	al	PROPN
ejpam-4693	293	18	-	-	PUNCT
ejpam-4693	293	19	hayani	hayani	PROPN
ejpam-4693	293	20	,	,	PUNCT
ejpam-4693	293	21	a.	a.	PROPN
ejpam-4693	293	22	y.	y.	PROPN
ejpam-4693	293	23	al	al	PROPN
ejpam-4693	293	24	-	-	PUNCT
ejpam-4693	293	25	bayati	bayati	PROPN
ejpam-4693	293	26	/	/	SYM
ejpam-4693	293	27	eur	eur	PROPN
ejpam-4693	293	28	.	.	PUNCT
ejpam-4693	294	1	j.	j.	PROPN
ejpam-4693	294	2	pure	pure	PROPN
ejpam-4693	294	3	appl	appl	PROPN
ejpam-4693	294	4	.	.	PROPN
ejpam-4693	294	5	math	math	PROPN
ejpam-4693	294	6	,	,	PUNCT
ejpam-4693	294	7	16	16	NUM
ejpam-4693	294	8	(	(	PUNCT
ejpam-4693	294	9	2	2	NUM
ejpam-4693	294	10	)	)	PUNCT
ejpam-4693	294	11	(	(	PUNCT
ejpam-4693	294	12	2023	2023	NUM
ejpam-4693	294	13	)	)	PUNCT
ejpam-4693	294	14	,	,	PUNCT
ejpam-4693	294	15	864	864	NUM
ejpam-4693	294	16	-	-	SYM
ejpam-4693	294	17	892	892	NUM
ejpam-4693	294	18	879	879	NUM
ejpam-4693	294	19	where	where	SCONJ
ejpam-4693	294	20	{	{	PUNCT
ejpam-4693	294	21	f1	f1	NOUN
ejpam-4693	294	22	(	(	PUNCT
ejpam-4693	294	23	x	x	NOUN
ejpam-4693	294	24	)	)	PUNCT
ejpam-4693	294	25	=	=	VERB
ejpam-4693	294	26	sin	sin	NOUN
ejpam-4693	294	27	(	(	PUNCT
ejpam-4693	294	28	x	x	NOUN
ejpam-4693	294	29	)	)	PUNCT
ejpam-4693	294	30	−	−	PROPN
ejpam-4693	295	1	λ1x	λ1x	NOUN
ejpam-4693	295	2	,	,	PUNCT
ejpam-4693	295	3	f2	f2	PROPN
ejpam-4693	295	4	(	(	PUNCT
ejpam-4693	295	5	x	x	NOUN
ejpam-4693	295	6	)	)	PUNCT
ejpam-4693	295	7	=	=	SYM
ejpam-4693	295	8	cos	cos	X
ejpam-4693	295	9	(	(	PUNCT
ejpam-4693	295	10	x	x	NOUN
ejpam-4693	295	11	)	)	PUNCT
ejpam-4693	295	12	−	−	PROPN
ejpam-4693	295	13	1	1	NUM
ejpam-4693	295	14	2λ2sin	2λ2sin	NUM
ejpam-4693	295	15	2(x	2(x	NUM
ejpam-4693	295	16	)	)	PUNCT
ejpam-4693	295	17	,	,	PUNCT
ejpam-4693	295	18	(	(	PUNCT
ejpam-4693	295	19	32	32	NUM
ejpam-4693	295	20	)	)	PUNCT
ejpam-4693	295	21	with	with	ADP
ejpam-4693	295	22	the	the	DET
ejpam-4693	295	23	exact	exact	ADJ
ejpam-4693	295	24	solutions	solution	NOUN
ejpam-4693	295	25	uexact1	uexact1	VERB
ejpam-4693	295	26	(	(	PUNCT
ejpam-4693	295	27	x	x	X
ejpam-4693	295	28	)	)	PUNCT
ejpam-4693	295	29	=	=	VERB
ejpam-4693	295	30	sin	sin	NOUN
ejpam-4693	295	31	(	(	PUNCT
ejpam-4693	295	32	x	x	NOUN
ejpam-4693	295	33	)	)	PUNCT
ejpam-4693	295	34	,	,	PUNCT
ejpam-4693	295	35	uexact2	uexact2	NOUN
ejpam-4693	295	36	(	(	PUNCT
ejpam-4693	295	37	x	x	X
ejpam-4693	295	38	)	)	PUNCT
ejpam-4693	295	39	=	=	SYM
ejpam-4693	295	40	cos	cos	X
ejpam-4693	295	41	(	(	PUNCT
ejpam-4693	295	42	x	x	NOUN
ejpam-4693	295	43	)	)	PUNCT
ejpam-4693	295	44	,	,	PUNCT
ejpam-4693	295	45	(	(	PUNCT
ejpam-4693	295	46	33	33	NUM
ejpam-4693	295	47	)	)	PUNCT
ejpam-4693	295	48	to	to	PART
ejpam-4693	295	49	solve	solve	VERB
ejpam-4693	295	50	31	31	NUM
ejpam-4693	295	51	and	and	CCONJ
ejpam-4693	295	52	32	32	NUM
ejpam-4693	295	53	by	by	ADP
ejpam-4693	295	54	means	mean	NOUN
ejpam-4693	295	55	of	of	ADP
ejpam-4693	295	56	the	the	DET
ejpam-4693	295	57	standard	standard	ADJ
ejpam-4693	295	58	ham	ham	NOUN
ejpam-4693	295	59	,	,	PUNCT
ejpam-4693	295	60	we	we	PRON
ejpam-4693	295	61	choose	choose	VERB
ejpam-4693	295	62	the	the	DET
ejpam-4693	295	63	initial	initial	ADJ
ejpam-4693	295	64	approximation	approximation	NOUN
ejpam-4693	295	65	u1,0	u1,0	PROPN
ejpam-4693	295	66	(	(	PUNCT
ejpam-4693	295	67	x	x	NOUN
ejpam-4693	295	68	)	)	PUNCT
ejpam-4693	295	69	=	=	SYM
ejpam-4693	295	70	f1	f1	NOUN
ejpam-4693	295	71	(	(	PUNCT
ejpam-4693	295	72	x	x	NOUN
ejpam-4693	295	73	)	)	PUNCT
ejpam-4693	295	74	,	,	PUNCT
ejpam-4693	295	75	u2,0	u2,0	PROPN
ejpam-4693	295	76	(	(	PUNCT
ejpam-4693	295	77	x	x	X
ejpam-4693	295	78	)	)	PUNCT
ejpam-4693	295	79	=	=	SYM
ejpam-4693	296	1	f2	f2	PROPN
ejpam-4693	296	2	(	(	PUNCT
ejpam-4693	296	3	x	x	NOUN
ejpam-4693	296	4	)	)	PUNCT
ejpam-4693	296	5	,	,	PUNCT
ejpam-4693	296	6	(	(	PUNCT
ejpam-4693	296	7	34	34	NUM
ejpam-4693	296	8	)	)	PUNCT
ejpam-4693	296	9	and	and	CCONJ
ejpam-4693	296	10	the	the	DET
ejpam-4693	296	11	linear	linear	ADJ
ejpam-4693	296	12	operator	operator	NOUN
ejpam-4693	296	13	l	l	NOUN
ejpam-4693	297	1	[	[	X
ejpam-4693	297	2	ϕ1	ϕ1	NOUN
ejpam-4693	297	3	(	(	PUNCT
ejpam-4693	297	4	x	x	X
ejpam-4693	297	5	,	,	PUNCT
ejpam-4693	297	6	q	q	NOUN
ejpam-4693	297	7	)	)	PUNCT
ejpam-4693	297	8	]	]	PUNCT
ejpam-4693	297	9	=	=	PUNCT
ejpam-4693	297	10	ϕ1	ϕ1	NOUN
ejpam-4693	297	11	(	(	PUNCT
ejpam-4693	297	12	x	x	NOUN
ejpam-4693	297	13	,	,	PUNCT
ejpam-4693	297	14	q	q	NOUN
ejpam-4693	297	15	)	)	PUNCT
ejpam-4693	297	16	,	,	PUNCT
ejpam-4693	297	17	l	l	X
ejpam-4693	298	1	[	[	X
ejpam-4693	298	2	ϕ2	ϕ2	ADV
ejpam-4693	298	3	(	(	PUNCT
ejpam-4693	298	4	x	x	NOUN
ejpam-4693	298	5	,	,	PUNCT
ejpam-4693	298	6	q	q	NOUN
ejpam-4693	298	7	)	)	PUNCT
ejpam-4693	298	8	]	]	PUNCT
ejpam-4693	298	9	=	=	PUNCT
ejpam-4693	298	10	ϕ2	ϕ2	ADV
ejpam-4693	298	11	(	(	PUNCT
ejpam-4693	298	12	x	x	NOUN
ejpam-4693	298	13	,	,	PUNCT
ejpam-4693	298	14	q	q	NOUN
ejpam-4693	298	15	)	)	PUNCT
ejpam-4693	298	16	,	,	PUNCT
ejpam-4693	298	17	(	(	PUNCT
ejpam-4693	298	18	35	35	NUM
ejpam-4693	298	19	)	)	PUNCT
ejpam-4693	298	20	furthermore	furthermore	ADV
ejpam-4693	298	21	,	,	PUNCT
ejpam-4693	298	22	the	the	DET
ejpam-4693	298	23	system	system	NOUN
ejpam-4693	298	24	31	31	NUM
ejpam-4693	298	25	suggests	suggest	VERB
ejpam-4693	298	26	that	that	SCONJ
ejpam-4693	298	27	we	we	PRON
ejpam-4693	298	28	define	define	VERB
ejpam-4693	298	29	the	the	DET
ejpam-4693	298	30	non	non	ADJ
ejpam-4693	298	31	-	-	ADJ
ejpam-4693	298	32	linear	linear	ADJ
ejpam-4693	298	33	operator	operator	NOUN
ejpam-4693	298	34	as	as	ADP
ejpam-4693	298	35	{	{	PUNCT
ejpam-4693	298	36	n1	n1	PROPN
ejpam-4693	298	37	[	[	X
ejpam-4693	298	38	ϕ1	ϕ1	NOUN
ejpam-4693	298	39	(	(	PUNCT
ejpam-4693	298	40	x	x	X
ejpam-4693	298	41	,	,	PUNCT
ejpam-4693	298	42	q	q	NOUN
ejpam-4693	298	43	)	)	PUNCT
ejpam-4693	298	44	,	,	PUNCT
ejpam-4693	298	45	ϕ2	ϕ2	ADV
ejpam-4693	298	46	(	(	PUNCT
ejpam-4693	298	47	x	x	NOUN
ejpam-4693	298	48	,	,	PUNCT
ejpam-4693	298	49	q	q	NOUN
ejpam-4693	298	50	)	)	PUNCT
ejpam-4693	298	51	]	]	PUNCT
ejpam-4693	299	1	=	=	PUNCT
ejpam-4693	299	2	ϕ1	ϕ1	NOUN
ejpam-4693	299	3	(	(	PUNCT
ejpam-4693	299	4	x	x	NOUN
ejpam-4693	299	5	,	,	PUNCT
ejpam-4693	299	6	q	q	NOUN
ejpam-4693	299	7	)	)	PUNCT
ejpam-4693	299	8	−	−	PROPN
ejpam-4693	299	9	f1	f1	NOUN
ejpam-4693	299	10	(	(	PUNCT
ejpam-4693	299	11	x	x	NOUN
ejpam-4693	299	12	)	)	PUNCT
ejpam-4693	299	13	−	−	PROPN
ejpam-4693	300	1	λ1	λ1	ADJ
ejpam-4693	300	2	∫	∫	PROPN
ejpam-4693	300	3	x	x	SYM
ejpam-4693	300	4	0	0	PUNCT
ejpam-4693	300	5	(	(	PUNCT
ejpam-4693	300	6	ϕ2	ϕ2	ADV
ejpam-4693	300	7	1	1	NUM
ejpam-4693	300	8	(	(	PUNCT
ejpam-4693	300	9	t	t	PROPN
ejpam-4693	300	10	,	,	PUNCT
ejpam-4693	300	11	q	q	NOUN
ejpam-4693	300	12	)	)	PUNCT
ejpam-4693	300	13	+	+	CCONJ
ejpam-4693	300	14	ϕ2	ϕ2	ADV
ejpam-4693	300	15	2	2	NUM
ejpam-4693	300	16	(	(	PUNCT
ejpam-4693	300	17	t	t	PROPN
ejpam-4693	300	18	,	,	PUNCT
ejpam-4693	300	19	q	q	NOUN
ejpam-4693	300	20	)	)	PUNCT
ejpam-4693	300	21	)	)	PUNCT
ejpam-4693	300	22	dt	dt	PROPN
ejpam-4693	300	23	,	,	PUNCT
ejpam-4693	300	24	n2	n2	ADJ
ejpam-4693	300	25	[	[	X
ejpam-4693	300	26	ϕ1	ϕ1	NOUN
ejpam-4693	300	27	(	(	PUNCT
ejpam-4693	300	28	x	x	NOUN
ejpam-4693	300	29	,	,	PUNCT
ejpam-4693	300	30	q	q	NOUN
ejpam-4693	300	31	)	)	PUNCT
ejpam-4693	300	32	,	,	PUNCT
ejpam-4693	300	33	ϕ2	ϕ2	ADV
ejpam-4693	300	34	(	(	PUNCT
ejpam-4693	300	35	x	x	NOUN
ejpam-4693	300	36	,	,	PUNCT
ejpam-4693	300	37	q	q	NOUN
ejpam-4693	300	38	)	)	PUNCT
ejpam-4693	300	39	]	]	PUNCT
ejpam-4693	301	1	=	=	PUNCT
ejpam-4693	301	2	ϕ2	ϕ2	ADV
ejpam-4693	301	3	(	(	PUNCT
ejpam-4693	301	4	x	x	NOUN
ejpam-4693	301	5	,	,	PUNCT
ejpam-4693	301	6	q	q	NOUN
ejpam-4693	301	7	)	)	PUNCT
ejpam-4693	301	8	−	−	PROPN
ejpam-4693	301	9	f2	f2	INTJ
ejpam-4693	301	10	(	(	PUNCT
ejpam-4693	301	11	x	x	NOUN
ejpam-4693	301	12	)	)	PUNCT
ejpam-4693	301	13	−	−	PROPN
ejpam-4693	301	14	λ2	λ2	NOUN
ejpam-4693	301	15	∫	∫	PROPN
ejpam-4693	301	16	x	x	SYM
ejpam-4693	301	17	0	0	NUM
ejpam-4693	301	18	(	(	PUNCT
ejpam-4693	301	19	ϕ1	ϕ1	PROPN
ejpam-4693	301	20	(	(	PUNCT
ejpam-4693	301	21	t	t	PROPN
ejpam-4693	301	22	,	,	PUNCT
ejpam-4693	301	23	q)ϕ2	q)ϕ2	PROPN
ejpam-4693	301	24	(	(	PUNCT
ejpam-4693	301	25	t	t	PROPN
ejpam-4693	301	26	,	,	PUNCT
ejpam-4693	301	27	q	q	NOUN
ejpam-4693	301	28	)	)	PUNCT
ejpam-4693	301	29	)	)	PUNCT
ejpam-4693	301	30	dt	dt	X
ejpam-4693	301	31	,	,	PUNCT
ejpam-4693	301	32	(	(	PUNCT
ejpam-4693	301	33	36	36	NUM
ejpam-4693	301	34	)	)	PUNCT
ejpam-4693	301	35	using	use	VERB
ejpam-4693	301	36	the	the	DET
ejpam-4693	301	37	above	above	ADJ
ejpam-4693	301	38	definition	definition	NOUN
ejpam-4693	301	39	,	,	PUNCT
ejpam-4693	301	40	we	we	PRON
ejpam-4693	301	41	construct	construct	VERB
ejpam-4693	301	42	the	the	DET
ejpam-4693	301	43	zeroth	zeroth	ADJ
ejpam-4693	301	44	-	-	PUNCT
ejpam-4693	301	45	order	order	NOUN
ejpam-4693	301	46	deformation	deformation	NOUN
ejpam-4693	301	47	equation	equation	NOUN
ejpam-4693	301	48	as	as	ADP
ejpam-4693	301	49	in	in	ADP
ejpam-4693	301	50	6	6	NUM
ejpam-4693	301	51	and	and	CCONJ
ejpam-4693	301	52	7	7	NUM
ejpam-4693	301	53	and	and	CCONJ
ejpam-4693	301	54	the	the	DET
ejpam-4693	301	55	mth	mth	NOUN
ejpam-4693	301	56	-	-	PUNCT
ejpam-4693	301	57	order	order	NOUN
ejpam-4693	301	58	deformation	deformation	NOUN
ejpam-4693	301	59	equation	equation	NOUN
ejpam-4693	301	60	for	for	ADP
ejpam-4693	301	61	m	m	PROPN
ejpam-4693	301	62	≥	≥	NOUN
ejpam-4693	301	63	1	1	NUM
ejpam-4693	301	64	is	be	AUX
ejpam-4693	301	65	{	{	PUNCT
ejpam-4693	301	66	l	l	NOUN
ejpam-4693	302	1	[	[	X
ejpam-4693	302	2	u1,m	u1,m	PROPN
ejpam-4693	302	3	(	(	PUNCT
ejpam-4693	302	4	x	x	NOUN
ejpam-4693	302	5	)	)	PUNCT
ejpam-4693	302	6	−	−	PROPN
ejpam-4693	302	7	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	302	8	(	(	PUNCT
ejpam-4693	302	9	x	x	NOUN
ejpam-4693	302	10	)	)	PUNCT
ejpam-4693	302	11	]	]	PUNCT
ejpam-4693	303	1	=	=	SYM
ejpam-4693	303	2	h	h	NOUN
ejpam-4693	304	1	[	[	X
ejpam-4693	304	2	r1,m	r1,m	X
ejpam-4693	304	3	(	(	PUNCT
ejpam-4693	304	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	304	5	)	)	PUNCT
ejpam-4693	304	6	,	,	PUNCT
ejpam-4693	304	7	r2,m	r2,m	PROPN
ejpam-4693	304	8	(	(	PUNCT
ejpam-4693	304	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	304	10	)	)	PUNCT
ejpam-4693	304	11	]	]	PUNCT
ejpam-4693	304	12	,	,	PUNCT
ejpam-4693	304	13	l	l	X
ejpam-4693	305	1	[	[	X
ejpam-4693	305	2	u2,m	u2,m	ADJ
ejpam-4693	305	3	(	(	PUNCT
ejpam-4693	305	4	x	x	NOUN
ejpam-4693	305	5	)	)	PUNCT
ejpam-4693	305	6	−	−	PROPN
ejpam-4693	305	7	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	305	8	(	(	PUNCT
ejpam-4693	305	9	x	x	NOUN
ejpam-4693	305	10	)	)	PUNCT
ejpam-4693	305	11	]	]	PUNCT
ejpam-4693	306	1	=	=	SYM
ejpam-4693	306	2	h	h	NOUN
ejpam-4693	307	1	[	[	X
ejpam-4693	307	2	r1,m	r1,m	X
ejpam-4693	307	3	(	(	PUNCT
ejpam-4693	307	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	307	5	)	)	PUNCT
ejpam-4693	307	6	,	,	PUNCT
ejpam-4693	307	7	r2,m	r2,m	PROPN
ejpam-4693	307	8	(	(	PUNCT
ejpam-4693	307	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	307	10	)	)	PUNCT
ejpam-4693	307	11	]	]	PUNCT
ejpam-4693	307	12	,	,	PUNCT
ejpam-4693	307	13	(	(	PUNCT
ejpam-4693	307	14	37	37	NUM
ejpam-4693	307	15	)	)	PUNCT
ejpam-4693	307	16	where	where	SCONJ
ejpam-4693	307	17	{	{	PUNCT
ejpam-4693	307	18	r1,m	r1,m	NOUN
ejpam-4693	307	19	(	(	PUNCT
ejpam-4693	307	20	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	307	21	,	,	PUNCT
ejpam-4693	307	22	u⃗2,m−1	u⃗2,m−1	NOUN
ejpam-4693	307	23	)	)	PUNCT
ejpam-4693	307	24	=	=	SYM
ejpam-4693	307	25	u1,m−1	u1,m−1	NOUN
ejpam-4693	307	26	(	(	PUNCT
ejpam-4693	307	27	x	x	NOUN
ejpam-4693	307	28	)	)	PUNCT
ejpam-4693	307	29	−	−	PROPN
ejpam-4693	307	30	f1	f1	PROPN
ejpam-4693	307	31	(	(	PUNCT
ejpam-4693	307	32	x	x	NOUN
ejpam-4693	307	33	)	)	PUNCT
ejpam-4693	307	34	−	−	PROPN
ejpam-4693	308	1	λ1	λ1	ADJ
ejpam-4693	308	2	∫	∫	PROPN
ejpam-4693	308	3	x	x	SYM
ejpam-4693	308	4	0	0	PROPN
ejpam-4693	308	5	(	(	PUNCT
ejpam-4693	308	6	u21,m−1	u21,m−1	PROPN
ejpam-4693	308	7	(	(	PUNCT
ejpam-4693	308	8	t	t	PROPN
ejpam-4693	308	9	)	)	PUNCT
ejpam-4693	308	10	+	+	CCONJ
ejpam-4693	308	11	u22,m−1	u22,m−1	PROPN
ejpam-4693	308	12	(	(	PUNCT
ejpam-4693	308	13	t	t	PROPN
ejpam-4693	308	14	)	)	PUNCT
ejpam-4693	308	15	)	)	PUNCT
ejpam-4693	309	1	dt	dt	X
ejpam-4693	309	2	,	,	PUNCT
ejpam-4693	309	3	r2,m	r2,m	PROPN
ejpam-4693	309	4	(	(	PUNCT
ejpam-4693	309	5	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	309	6	,	,	PUNCT
ejpam-4693	309	7	u⃗2,m−1	u⃗2,m−1	NOUN
ejpam-4693	309	8	)	)	PUNCT
ejpam-4693	309	9	=	=	SYM
ejpam-4693	309	10	u2,m−1	u2,m−1	NOUN
ejpam-4693	309	11	(	(	PUNCT
ejpam-4693	309	12	x	x	NOUN
ejpam-4693	309	13	)	)	PUNCT
ejpam-4693	309	14	−	−	ADP
ejpam-4693	309	15	f2	f2	INTJ
ejpam-4693	309	16	(	(	PUNCT
ejpam-4693	309	17	x	x	NOUN
ejpam-4693	309	18	)	)	PUNCT
ejpam-4693	310	1	−	−	PROPN
ejpam-4693	310	2	λ2	λ2	NOUN
ejpam-4693	310	3	∫	∫	PROPN
ejpam-4693	310	4	x	x	X
ejpam-4693	310	5	0	0	PROPN
ejpam-4693	310	6	(	(	PUNCT
ejpam-4693	310	7	u1,m−1	u1,m−1	PROPN
ejpam-4693	310	8	(	(	PUNCT
ejpam-4693	310	9	t)u2,m−1	t)u2,m−1	PROPN
ejpam-4693	310	10	(	(	PUNCT
ejpam-4693	310	11	t	t	PROPN
ejpam-4693	310	12	)	)	PUNCT
ejpam-4693	310	13	)	)	PUNCT
ejpam-4693	310	14	dt	dt	X
ejpam-4693	310	15	,	,	PUNCT
ejpam-4693	310	16	,	,	PUNCT
ejpam-4693	310	17	(	(	PUNCT
ejpam-4693	310	18	38	38	NUM
ejpam-4693	310	19	)	)	PUNCT
ejpam-4693	310	20	now	now	ADV
ejpam-4693	310	21	,	,	PUNCT
ejpam-4693	310	22	for	for	ADP
ejpam-4693	310	23	m	m	PROPN
ejpam-4693	310	24	≥	≥	NOUN
ejpam-4693	310	25	1	1	NUM
ejpam-4693	310	26	,	,	PUNCT
ejpam-4693	310	27	the	the	DET
ejpam-4693	310	28	solutions	solution	NOUN
ejpam-4693	310	29	of	of	ADP
ejpam-4693	310	30	the	the	DET
ejpam-4693	310	31	mth	mth	NOUN
ejpam-4693	310	32	-	-	PUNCT
ejpam-4693	310	33	order	order	NOUN
ejpam-4693	310	34	deformation	deformation	NOUN
ejpam-4693	310	35	equation	equation	NOUN
ejpam-4693	310	36	38	38	NUM
ejpam-4693	310	37	are	be	AUX
ejpam-4693	310	38	{	{	PUNCT
ejpam-4693	310	39	u1,m	u1,m	PROPN
ejpam-4693	310	40	(	(	PUNCT
ejpam-4693	310	41	x	x	X
ejpam-4693	310	42	)	)	PUNCT
ejpam-4693	311	1	=	=	SYM
ejpam-4693	311	2	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	311	3	(	(	PUNCT
ejpam-4693	311	4	x	x	X
ejpam-4693	311	5	)	)	PUNCT
ejpam-4693	312	1	+	+	NUM
ejpam-4693	312	2	h	h	NOUN
ejpam-4693	313	1	[	[	X
ejpam-4693	313	2	r1,m	r1,m	X
ejpam-4693	313	3	(	(	PUNCT
ejpam-4693	313	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	313	5	)	)	PUNCT
ejpam-4693	313	6	,	,	PUNCT
ejpam-4693	313	7	r2,m	r2,m	PROPN
ejpam-4693	313	8	(	(	PUNCT
ejpam-4693	313	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	313	10	)	)	PUNCT
ejpam-4693	313	11	]	]	PUNCT
ejpam-4693	313	12	,	,	PUNCT
ejpam-4693	313	13	u2,m	u2,m	PROPN
ejpam-4693	313	14	(	(	PUNCT
ejpam-4693	313	15	x	x	X
ejpam-4693	313	16	)	)	PUNCT
ejpam-4693	313	17	=	=	SYM
ejpam-4693	313	18	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	313	19	(	(	PUNCT
ejpam-4693	313	20	x	x	X
ejpam-4693	313	21	)	)	PUNCT
ejpam-4693	314	1	+	+	NUM
ejpam-4693	314	2	h	h	NOUN
ejpam-4693	315	1	[	[	X
ejpam-4693	315	2	r1,m	r1,m	X
ejpam-4693	315	3	(	(	PUNCT
ejpam-4693	315	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	315	5	)	)	PUNCT
ejpam-4693	315	6	,	,	PUNCT
ejpam-4693	315	7	r2,m	r2,m	PROPN
ejpam-4693	315	8	(	(	PUNCT
ejpam-4693	315	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	315	10	)	)	PUNCT
ejpam-4693	315	11	]	]	PUNCT
ejpam-4693	315	12	,	,	PUNCT
ejpam-4693	315	13	(	(	PUNCT
ejpam-4693	315	14	39	39	NUM
ejpam-4693	315	15	)	)	PUNCT
ejpam-4693	315	16	we	we	PRON
ejpam-4693	315	17	now	now	ADV
ejpam-4693	315	18	successively	successively	ADV
ejpam-4693	315	19	obtain	obtain	VERB
ejpam-4693	315	20	u1,1	u1,1	ADJ
ejpam-4693	315	21	(	(	PUNCT
ejpam-4693	315	22	x	x	X
ejpam-4693	315	23	)	)	PUNCT
ejpam-4693	315	24	=	=	SYM
ejpam-4693	315	25	−1	−1	NOUN
ejpam-4693	315	26	3	3	NUM
ejpam-4693	315	27	hλ3	hλ3	NOUN
ejpam-4693	315	28	1x	1x	NUM
ejpam-4693	315	29	3	3	NUM
ejpam-4693	315	30	−	−	PROPN
ejpam-4693	315	31	2hλ2	2hλ2	NUM
ejpam-4693	315	32	1x	1x	PROPN
ejpam-4693	315	33	cosx	cosx	PROPN
ejpam-4693	315	34	+	+	CCONJ
ejpam-4693	315	35	2hλ2	2hλ2	NUM
ejpam-4693	315	36	1	1	NUM
ejpam-4693	315	37	sinx−	sinx−	ADV
ejpam-4693	315	38	hλ1x	hλ1x	PROPN
ejpam-4693	315	39	+	+	CCONJ
ejpam-4693	315	40	1	1	NUM
ejpam-4693	315	41	16	16	NUM
ejpam-4693	315	42	hλ1λ	hλ1λ	PROPN
ejpam-4693	315	43	2	2	NUM
ejpam-4693	315	44	2	2	NUM
ejpam-4693	315	45	sin3	sin3	NOUN
ejpam-4693	315	46	x	x	PROPN
ejpam-4693	316	1	cosx	cosx	PROPN
ejpam-4693	316	2	+	+	CCONJ
ejpam-4693	316	3	3	3	NUM
ejpam-4693	316	4	32	32	NUM
ejpam-4693	316	5	hλ1λ	hλ1λ	PROPN
ejpam-4693	316	6	2	2	NUM
ejpam-4693	316	7	2	2	NUM
ejpam-4693	316	8	sinx	sinx	NOUN
ejpam-4693	316	9	cosx−	cosx−	PROPN
ejpam-4693	316	10	3	3	NUM
ejpam-4693	316	11	32	32	NUM
ejpam-4693	316	12	hλ1λ	hλ1λ	PROPN
ejpam-4693	316	13	2	2	NUM
ejpam-4693	316	14	2x	2x	NUM
ejpam-4693	316	15	+	+	CCONJ
ejpam-4693	316	16	1	1	NUM
ejpam-4693	316	17	3	3	NUM
ejpam-4693	316	18	hλ1λ2	hλ1λ2	PROPN
ejpam-4693	316	19	sin3	sin3	NOUN
ejpam-4693	316	20	x	x	SYM
ejpam-4693	316	21	u2,1	u2,1	PROPN
ejpam-4693	316	22	(	(	PUNCT
ejpam-4693	316	23	x	x	NOUN
ejpam-4693	316	24	)	)	PUNCT
ejpam-4693	316	25	=	=	SYM
ejpam-4693	317	1	−hλ1λ2	−hλ1λ2	NOUN
ejpam-4693	317	2	+	+	CCONJ
ejpam-4693	317	3	1	1	NUM
ejpam-4693	317	4	3	3	NUM
ejpam-4693	317	5	hλ2	hλ2	NOUN
ejpam-4693	317	6	2	2	NUM
ejpam-4693	317	7	+	+	CCONJ
ejpam-4693	317	8	1	1	NUM
ejpam-4693	317	9	4	4	NUM
ejpam-4693	317	10	hλ1λ	hλ1λ	PROPN
ejpam-4693	317	11	2	2	NUM
ejpam-4693	317	12	2x	2x	NUM
ejpam-4693	317	13	sinx	sinx	X
ejpam-4693	317	14	cosx−	cosx−	PROPN
ejpam-4693	317	15	1	1	NUM
ejpam-4693	317	16	8	8	NUM
ejpam-4693	317	17	hλ1λ	hλ1λ	PROPN
ejpam-4693	317	18	2	2	NUM
ejpam-4693	317	19	2x	2x	NUM
ejpam-4693	317	20	2	2	NUM
ejpam-4693	317	21	rasha	rasha	PROPN
ejpam-4693	317	22	f.	f.	PROPN
ejpam-4693	317	23	ahmed	ahmed	PROPN
ejpam-4693	317	24	,	,	PUNCT
ejpam-4693	317	25	w.	w.	PROPN
ejpam-4693	317	26	al	al	PROPN
ejpam-4693	317	27	-	-	PUNCT
ejpam-4693	317	28	hayani	hayani	PROPN
ejpam-4693	317	29	,	,	PUNCT
ejpam-4693	317	30	a.	a.	PROPN
ejpam-4693	317	31	y.	y.	PROPN
ejpam-4693	317	32	al	al	PROPN
ejpam-4693	317	33	-	-	PUNCT
ejpam-4693	317	34	bayati	bayati	PROPN
ejpam-4693	317	35	/	/	SYM
ejpam-4693	317	36	eur	eur	PROPN
ejpam-4693	317	37	.	.	PUNCT
ejpam-4693	318	1	j.	j.	PROPN
ejpam-4693	318	2	pure	pure	PROPN
ejpam-4693	318	3	appl	appl	PROPN
ejpam-4693	318	4	.	.	PROPN
ejpam-4693	318	5	math	math	PROPN
ejpam-4693	318	6	,	,	PUNCT
ejpam-4693	318	7	16	16	NUM
ejpam-4693	318	8	(	(	PUNCT
ejpam-4693	318	9	2	2	NUM
ejpam-4693	318	10	)	)	PUNCT
ejpam-4693	318	11	(	(	PUNCT
ejpam-4693	318	12	2023	2023	NUM
ejpam-4693	318	13	)	)	PUNCT
ejpam-4693	318	14	,	,	PUNCT
ejpam-4693	318	15	864	864	NUM
ejpam-4693	318	16	-	-	SYM
ejpam-4693	318	17	892	892	NUM
ejpam-4693	318	18	880	880	NUM
ejpam-4693	318	19	−1	−1	NOUN
ejpam-4693	318	20	8	8	NUM
ejpam-4693	318	21	hλ1λ	hλ1λ	PROPN
ejpam-4693	318	22	2	2	NUM
ejpam-4693	318	23	2	2	NUM
ejpam-4693	318	24	sin2	sin2	NOUN
ejpam-4693	318	25	x	x	PUNCT
ejpam-4693	318	26	+	+	CCONJ
ejpam-4693	318	27	hλ1λ2x	hλ1λ2x	PROPN
ejpam-4693	318	28	sinx	sinx	NOUN
ejpam-4693	318	29	+	+	X
ejpam-4693	319	1	hλ1λ2	hλ1λ2	PROPN
ejpam-4693	319	2	cosx	cosx	PROPN
ejpam-4693	319	3	−1	−1	NOUN
ejpam-4693	319	4	6	6	NUM
ejpam-4693	319	5	hλ2	hλ2	NOUN
ejpam-4693	319	6	2	2	NUM
ejpam-4693	319	7	sin2	sin2	NOUN
ejpam-4693	319	8	x	x	PUNCT
ejpam-4693	319	9	cosx−	cosx−	PROPN
ejpam-4693	319	10	1	1	NUM
ejpam-4693	319	11	3	3	NUM
ejpam-4693	319	12	hλ2	hλ2	SYM
ejpam-4693	319	13	2	2	NUM
ejpam-4693	319	14	cosx−	cosx−	NOUN
ejpam-4693	319	15	1	1	NUM
ejpam-4693	319	16	2	2	NUM
ejpam-4693	319	17	hλ2	hλ2	NOUN
ejpam-4693	319	18	sin2	sin2	NOUN
ejpam-4693	319	19	x	x	INTJ
ejpam-4693	319	20	...	...	PUNCT
ejpam-4693	319	21	thus	thus	ADV
ejpam-4693	319	22	,	,	PUNCT
ejpam-4693	319	23	the	the	DET
ejpam-4693	319	24	approximate	approximate	ADJ
ejpam-4693	319	25	solution	solution	NOUN
ejpam-4693	319	26	in	in	ADP
ejpam-4693	319	27	a	a	DET
ejpam-4693	319	28	series	series	NOUN
ejpam-4693	319	29	form	form	NOUN
ejpam-4693	319	30	is	be	AUX
ejpam-4693	319	31	given	give	VERB
ejpam-4693	319	32	by	by	ADP
ejpam-4693	319	33	u1	u1	NOUN
ejpam-4693	319	34	(	(	PUNCT
ejpam-4693	319	35	x	x	NOUN
ejpam-4693	319	36	)	)	PUNCT
ejpam-4693	319	37	=	=	SYM
ejpam-4693	319	38	u1,0	u1,0	PROPN
ejpam-4693	319	39	(	(	PUNCT
ejpam-4693	319	40	x	x	NOUN
ejpam-4693	319	41	)	)	PUNCT
ejpam-4693	320	1	+	+	CCONJ
ejpam-4693	320	2	5∑	5∑	ADJ
ejpam-4693	320	3	i=1	i=1	PRON
ejpam-4693	320	4	u1,i(x	u1,i(x	ADJ
ejpam-4693	320	5	)	)	PUNCT
ejpam-4693	320	6	,	,	PUNCT
ejpam-4693	320	7	u2	u2	PROPN
ejpam-4693	320	8	(	(	PUNCT
ejpam-4693	320	9	x	x	NOUN
ejpam-4693	320	10	)	)	PUNCT
ejpam-4693	320	11	=	=	SYM
ejpam-4693	320	12	u2,0	u2,0	PROPN
ejpam-4693	320	13	(	(	PUNCT
ejpam-4693	320	14	x	x	NOUN
ejpam-4693	320	15	)	)	PUNCT
ejpam-4693	321	1	+	+	CCONJ
ejpam-4693	321	2	5∑	5∑	ADJ
ejpam-4693	321	3	i=1	i=1	PROPN
ejpam-4693	321	4	u2,i(x	u2,i(x	NOUN
ejpam-4693	321	5	)	)	PUNCT
ejpam-4693	321	6	,	,	PUNCT
ejpam-4693	321	7	this	this	DET
ejpam-4693	321	8	series	series	NOUN
ejpam-4693	321	9	has	have	VERB
ejpam-4693	321	10	the	the	DET
ejpam-4693	321	11	closed	closed	ADJ
ejpam-4693	321	12	form	form	NOUN
ejpam-4693	321	13	as	as	ADP
ejpam-4693	321	14	m	m	PROPN
ejpam-4693	321	15	→	→	SYM
ejpam-4693	321	16	∞	∞	NUM
ejpam-4693	321	17	u1	u1	NOUN
ejpam-4693	321	18	(	(	PUNCT
ejpam-4693	321	19	x	x	NOUN
ejpam-4693	321	20	)	)	PUNCT
ejpam-4693	321	21	=	=	SYM
ejpam-4693	321	22	sinx	sinx	PROPN
ejpam-4693	321	23	,	,	PUNCT
ejpam-4693	321	24	u2	u2	PROPN
ejpam-4693	321	25	(	(	PUNCT
ejpam-4693	321	26	x	x	NOUN
ejpam-4693	321	27	)	)	PUNCT
ejpam-4693	321	28	=	=	SYM
ejpam-4693	321	29	cosx	cosx	PROPN
ejpam-4693	321	30	.	.	PROPN
ejpam-4693	321	31	which	which	PRON
ejpam-4693	321	32	are	be	AUX
ejpam-4693	321	33	the	the	DET
ejpam-4693	321	34	exact	exact	ADJ
ejpam-4693	321	35	solutions	solution	NOUN
ejpam-4693	321	36	of	of	ADP
ejpam-4693	321	37	the	the	DET
ejpam-4693	321	38	problem	problem	NOUN
ejpam-4693	321	39	2	2	NUM
ejpam-4693	321	40	.	.	X
ejpam-4693	321	41	tables	table	NOUN
ejpam-4693	321	42	6	6	NUM
ejpam-4693	321	43	,	,	PUNCT
ejpam-4693	321	44	7	7	NUM
ejpam-4693	321	45	show	show	VERB
ejpam-4693	321	46	a	a	DET
ejpam-4693	321	47	comparison	comparison	NOUN
ejpam-4693	321	48	of	of	ADP
ejpam-4693	321	49	the	the	DET
ejpam-4693	321	50	numerical	numerical	ADJ
ejpam-4693	321	51	results	result	NOUN
ejpam-4693	321	52	with	with	ADP
ejpam-4693	321	53	the	the	DET
ejpam-4693	321	54	errors	error	NOUN
ejpam-4693	321	55	applying	apply	VERB
ejpam-4693	321	56	the	the	DET
ejpam-4693	321	57	standard	standard	ADJ
ejpam-4693	321	58	ham	ham	NOUN
ejpam-4693	321	59	(	(	PUNCT
ejpam-4693	321	60	m	m	PROPN
ejpam-4693	321	61	=	=	NOUN
ejpam-4693	321	62	5	5	NUM
ejpam-4693	321	63	)	)	PUNCT
ejpam-4693	321	64	and	and	CCONJ
ejpam-4693	321	65	the	the	DET
ejpam-4693	321	66	numerical	numerical	ADJ
ejpam-4693	321	67	results	result	NOUN
ejpam-4693	321	68	applying	apply	VERB
ejpam-4693	321	69	the	the	DET
ejpam-4693	321	70	ham	ham	NOUN
ejpam-4693	321	71	developed	develop	VERB
ejpam-4693	321	72	by	by	ADP
ejpam-4693	321	73	genetic	genetic	ADJ
ejpam-4693	321	74	algorithm	algorithm	NOUN
ejpam-4693	321	75	ham	ham	PROPN
ejpam-4693	321	76	-	-	PUNCT
ejpam-4693	321	77	ga	ga	PROPN
ejpam-4693	321	78	with	with	ADP
ejpam-4693	321	79	the	the	DET
ejpam-4693	321	80	exact	exact	ADJ
ejpam-4693	321	81	solutions	solution	NOUN
ejpam-4693	321	82	33	33	NUM
ejpam-4693	321	83	within	within	ADP
ejpam-4693	321	84	the	the	DET
ejpam-4693	321	85	interval	interval	NOUN
ejpam-4693	321	86	0	0	NUM
ejpam-4693	321	87	≤	≤	NUM
ejpam-4693	321	88	x	x	SYM
ejpam-4693	321	89	≤	≤	NUM
ejpam-4693	321	90	0.5	0.5	NUM
ejpam-4693	321	91	for	for	ADP
ejpam-4693	321	92	various	various	ADJ
ejpam-4693	321	93	values	value	NOUN
ejpam-4693	321	94	of	of	ADP
ejpam-4693	321	95	λ1	λ1	ADJ
ejpam-4693	321	96	,	,	PUNCT
ejpam-4693	321	97	λ2	λ2	PROPN
ejpam-4693	321	98	and	and	CCONJ
ejpam-4693	321	99	h.	h.	PROPN
ejpam-4693	321	100	tables	table	NOUN
ejpam-4693	321	101	8	8	NUM
ejpam-4693	321	102	,	,	PUNCT
ejpam-4693	321	103	9	9	NUM
ejpam-4693	321	104	,	,	PUNCT
ejpam-4693	321	105	we	we	PRON
ejpam-4693	321	106	list	list	VERB
ejpam-4693	321	107	the	the	DET
ejpam-4693	321	108	mae	mae	PROPN
ejpam-4693	321	109	and	and	CCONJ
ejpam-4693	321	110	the	the	DET
ejpam-4693	321	111	mre	mre	NOUN
ejpam-4693	321	112	by	by	ADP
ejpam-4693	321	113	the	the	DET
ejpam-4693	321	114	ham	ham	NOUN
ejpam-4693	321	115	and	and	CCONJ
ejpam-4693	321	116	hamga	hamga	NOUN
ejpam-4693	321	117	on	on	ADP
ejpam-4693	321	118	the	the	DET
ejpam-4693	321	119	interval	interval	NOUN
ejpam-4693	321	120	[	[	X
ejpam-4693	321	121	0	0	NUM
ejpam-4693	321	122	,	,	PUNCT
ejpam-4693	321	123	0.5	0.5	NUM
ejpam-4693	321	124	]	]	PUNCT
ejpam-4693	321	125	for	for	ADP
ejpam-4693	321	126	the	the	DET
ejpam-4693	321	127	various	various	ADJ
ejpam-4693	321	128	values	value	NOUN
ejpam-4693	321	129	of	of	ADP
ejpam-4693	321	130	λ1	λ1	ADJ
ejpam-4693	321	131	,	,	PUNCT
ejpam-4693	321	132	λ2	λ2	PROPN
ejpam-4693	321	133	and	and	CCONJ
ejpam-4693	321	134	h.	h.	PROPN
ejpam-4693	321	135	table	table	NOUN
ejpam-4693	321	136	10	10	NUM
ejpam-4693	321	137	gives	give	VERB
ejpam-4693	321	138	the	the	DET
ejpam-4693	321	139	errors	error	NOUN
ejpam-4693	321	140	on	on	ADP
ejpam-4693	321	141	the	the	DET
ejpam-4693	321	142	interval	interval	NOUN
ejpam-4693	321	143	h	h	NOUN
ejpam-4693	321	144	-	-	PUNCT
ejpam-4693	321	145	curves	curve	NOUN
ejpam-4693	321	146	[	[	X
ejpam-4693	321	147	−1.2,−0.8	−1.2,−0.8	X
ejpam-4693	321	148	]	]	PUNCT
ejpam-4693	321	149	when	when	SCONJ
ejpam-4693	321	150	λ1	λ1	ADJ
ejpam-4693	321	151	=	=	SYM
ejpam-4693	321	152	λ2	λ2	PROPN
ejpam-4693	321	153	=	=	SYM
ejpam-4693	321	154	1	1	NUM
ejpam-4693	321	155	.	.	NOUN
ejpam-4693	321	156	table	table	NOUN
ejpam-4693	321	157	6	6	NUM
ejpam-4693	321	158	:	:	PUNCT
ejpam-4693	321	159	numerical	numerical	ADJ
ejpam-4693	321	160	results	result	NOUN
ejpam-4693	321	161	when	when	SCONJ
ejpam-4693	321	162	λ1	λ1	ADJ
ejpam-4693	321	163	=	=	SYM
ejpam-4693	321	164	λ2	λ2	PROPN
ejpam-4693	321	165	=	=	SYM
ejpam-4693	321	166	1	1	NUM
ejpam-4693	321	167	,	,	PUNCT
ejpam-4693	321	168	for	for	ADP
ejpam-4693	321	169	(	(	PUNCT
ejpam-4693	321	170	problem	problem	NOUN
ejpam-4693	321	171	2	2	NUM
ejpam-4693	321	172	)	)	PUNCT
ejpam-4693	321	173	x	x	X
ejpam-4693	322	1	i	i	PRON
ejpam-4693	322	2	uexacti	uexacti	VERB
ejpam-4693	322	3	(	(	PUNCT
ejpam-4693	322	4	x	x	NOUN
ejpam-4693	322	5	)	)	PUNCT
ejpam-4693	322	6	ham	ham	NOUN
ejpam-4693	322	7	h	h	NOUN
ejpam-4693	323	1	=	=	SYM
ejpam-4693	323	2	−1	−1	PROPN
ejpam-4693	323	3	ae	ae	PROPN
ejpam-4693	323	4	ham	ham	PROPN
ejpam-4693	323	5	-	-	PUNCT
ejpam-4693	323	6	ga	ga	PROPN
ejpam-4693	323	7	h=-0.98401	h=-0.98401	PROPN
ejpam-4693	323	8	ae	ae	PROPN
ejpam-4693	323	9	0.1	0.1	NUM
ejpam-4693	323	10	1	1	NUM
ejpam-4693	323	11	0.099833416	0.099833416	NUM
ejpam-4693	323	12	0.099829110	0.099829110	NUM
ejpam-4693	323	13	4.306e-06	4.306e-06	NUM
ejpam-4693	323	14	0.099828113	0.099828113	NUM
ejpam-4693	323	15	5.303e-06	5.303e-06	NUM
ejpam-4693	323	16	2	2	NUM
ejpam-4693	323	17	0.995004165	0.995004165	NUM
ejpam-4693	323	18	0.995003990	0.995003990	NUM
ejpam-4693	323	19	1.745e-07	1.745e-07	NUM
ejpam-4693	323	20	0.995002111	0.995002111	NUM
ejpam-4693	323	21	2.054e-06	2.054e-06	NUM
ejpam-4693	323	22	0.3	0.3	NUM
ejpam-4693	323	23	1	1	NUM
ejpam-4693	323	24	0.295520206	0.295520206	NUM
ejpam-4693	323	25	0.294524648	0.294524648	NUM
ejpam-4693	323	26	9.955e-04	9.955e-04	NUM
ejpam-4693	323	27	0.294500710	0.294500710	NUM
ejpam-4693	323	28	1.019e-03	1.019e-03	NUM
ejpam-4693	323	29	2	2	NUM
ejpam-4693	323	30	0.955336489	0.955336489	NUM
ejpam-4693	323	31	0.955219396	0.955219396	NUM
ejpam-4693	323	32	1.170e-04	1.170e-04	NUM
ejpam-4693	323	33	0.955085971	0.955085971	NUM
ejpam-4693	323	34	2.505e-04	2.505e-04	NUM
ejpam-4693	323	35	0.5	0.5	NUM
ejpam-4693	323	36	1	1	NUM
ejpam-4693	323	37	0.479425538	0.479425538	NUM
ejpam-4693	323	38	0.467847859	0.467847859	NUM
ejpam-4693	323	39	1.157e-02	1.157e-02	NUM
ejpam-4693	323	40	0.467776042	0.467776042	NUM
ejpam-4693	323	41	1.164e-02	1.164e-02	NUM
ejpam-4693	323	42	2	2	NUM
ejpam-4693	323	43	0.877582561	0.877582561	NUM
ejpam-4693	323	44	0.875456892	0.875456892	NUM
ejpam-4693	323	45	2.125e-03	2.125e-03	NUM
ejpam-4693	323	46	0.874603732	0.874603732	NUM
ejpam-4693	323	47	2.978e-03	2.978e-03	NUM
ejpam-4693	323	48	table	table	NOUN
ejpam-4693	323	49	7	7	NUM
ejpam-4693	323	50	:	:	PUNCT
ejpam-4693	323	51	numerical	numerical	ADJ
ejpam-4693	323	52	results	result	NOUN
ejpam-4693	323	53	when	when	SCONJ
ejpam-4693	323	54	λ1	λ1	PROPN
ejpam-4693	323	55	=	=	SYM
ejpam-4693	323	56	0.5	0.5	NUM
ejpam-4693	323	57	,	,	PUNCT
ejpam-4693	323	58	λ2	λ2	NOUN
ejpam-4693	323	59	=	=	SYM
ejpam-4693	323	60	0.5	0.5	NUM
ejpam-4693	323	61	,	,	PUNCT
ejpam-4693	323	62	for	for	ADP
ejpam-4693	323	63	(	(	PUNCT
ejpam-4693	323	64	problem	problem	NOUN
ejpam-4693	323	65	2	2	NUM
ejpam-4693	323	66	)	)	PUNCT
ejpam-4693	323	67	x	x	X
ejpam-4693	324	1	i	i	PRON
ejpam-4693	324	2	uexacti	uexacti	VERB
ejpam-4693	324	3	(	(	PUNCT
ejpam-4693	324	4	x	x	NOUN
ejpam-4693	324	5	)	)	PUNCT
ejpam-4693	324	6	ham	ham	NOUN
ejpam-4693	324	7	h	h	NOUN
ejpam-4693	325	1	=	=	SYM
ejpam-4693	325	2	−1	−1	PROPN
ejpam-4693	325	3	ae	ae	PROPN
ejpam-4693	325	4	ham	ham	PROPN
ejpam-4693	325	5	-	-	PUNCT
ejpam-4693	325	6	ga	ga	PROPN
ejpam-4693	325	7	h=-0.98401	h=-0.98401	PROPN
ejpam-4693	325	8	ae	ae	PROPN
ejpam-4693	325	9	0.1	0.1	NUM
ejpam-4693	325	10	1	1	NUM
ejpam-4693	325	11	0.099833416	0.099833416	NUM
ejpam-4693	325	12	0.099833280	0.099833280	NUM
ejpam-4693	325	13	1.356e-07	1.356e-07	NUM
ejpam-4693	325	14	0.099833132	0.099833132	NUM
ejpam-4693	325	15	2.841e-07	2.841e-07	NUM
ejpam-4693	325	16	2	2	NUM
ejpam-4693	325	17	0.995004165	0.995004165	NUM
ejpam-4693	325	18	0.995004155	0.995004155	NUM
ejpam-4693	325	19	9.445e-09	9.445e-09	NUM
ejpam-4693	325	20	0.995004017	0.995004017	NUM
ejpam-4693	325	21	1.473e-07	1.473e-07	NUM
ejpam-4693	325	22	0.3	0.3	NUM
ejpam-4693	325	23	1	1	NUM
ejpam-4693	325	24	0.295520206	0.295520206	NUM
ejpam-4693	325	25	0.295486811	0.295486811	NUM
ejpam-4693	325	26	3.339e-05	3.339e-05	NUM
ejpam-4693	325	27	0.295479223	0.295479223	NUM
ejpam-4693	325	28	4.098e-05	4.098e-05	NUM
ejpam-4693	325	29	2	2	NUM
ejpam-4693	325	30	0.955336489	0.955336489	NUM
ejpam-4693	325	31	0.955329938	0.955329938	NUM
ejpam-4693	325	32	6.550e-06	6.550e-06	NUM
ejpam-4693	325	33	0.955320666	0.955320666	NUM
ejpam-4693	325	34	1.582e-05	1.582e-05	NUM
ejpam-4693	325	35	0.5	0.5	NUM
ejpam-4693	325	36	1	1	NUM
ejpam-4693	325	37	0.479425538	0.479425538	NUM
ejpam-4693	325	38	0.478989428	0.478989428	NUM
ejpam-4693	325	39	4.361e-04	4.361e-04	NUM
ejpam-4693	325	40	0.478926206	0.478926206	NUM
ejpam-4693	325	41	4.993e-04	4.993e-04	NUM
ejpam-4693	325	42	2	2	NUM
ejpam-4693	325	43	0.877582561	0.877582561	NUM
ejpam-4693	325	44	0.877455542	0.877455542	NUM
ejpam-4693	325	45	1.270e-04	1.270e-04	NUM
ejpam-4693	325	46	0.877391282	0.877391282	NUM
ejpam-4693	325	47	1.912e-04	1.912e-04	NUM
ejpam-4693	325	48	rasha	rasha	PROPN
ejpam-4693	325	49	f.	f.	PROPN
ejpam-4693	325	50	ahmed	ahmed	PROPN
ejpam-4693	325	51	,	,	PUNCT
ejpam-4693	325	52	w.	w.	PROPN
ejpam-4693	325	53	al	al	PROPN
ejpam-4693	325	54	-	-	PUNCT
ejpam-4693	325	55	hayani	hayani	PROPN
ejpam-4693	325	56	,	,	PUNCT
ejpam-4693	325	57	a.	a.	PROPN
ejpam-4693	325	58	y.	y.	PROPN
ejpam-4693	325	59	al	al	PROPN
ejpam-4693	325	60	-	-	PUNCT
ejpam-4693	325	61	bayati	bayati	PROPN
ejpam-4693	325	62	/	/	SYM
ejpam-4693	325	63	eur	eur	PROPN
ejpam-4693	325	64	.	.	PUNCT
ejpam-4693	326	1	j.	j.	PROPN
ejpam-4693	326	2	pure	pure	PROPN
ejpam-4693	326	3	appl	appl	PROPN
ejpam-4693	326	4	.	.	PROPN
ejpam-4693	326	5	math	math	PROPN
ejpam-4693	326	6	,	,	PUNCT
ejpam-4693	326	7	16	16	NUM
ejpam-4693	326	8	(	(	PUNCT
ejpam-4693	326	9	2	2	NUM
ejpam-4693	326	10	)	)	PUNCT
ejpam-4693	326	11	(	(	PUNCT
ejpam-4693	326	12	2023	2023	NUM
ejpam-4693	326	13	)	)	PUNCT
ejpam-4693	326	14	,	,	PUNCT
ejpam-4693	326	15	864	864	NUM
ejpam-4693	326	16	-	-	SYM
ejpam-4693	326	17	892	892	NUM
ejpam-4693	326	18	881	881	NUM
ejpam-4693	326	19	table	table	NOUN
ejpam-4693	326	20	8	8	NUM
ejpam-4693	326	21	:	:	PUNCT
ejpam-4693	326	22	mae	mae	PROPN
ejpam-4693	326	23	and	and	CCONJ
ejpam-4693	326	24	mre	mre	NOUN
ejpam-4693	326	25	of	of	ADP
ejpam-4693	326	26	ham	ham	PROPN
ejpam-4693	326	27	and	and	CCONJ
ejpam-4693	326	28	ham	ham	PROPN
ejpam-4693	326	29	-	-	PUNCT
ejpam-4693	326	30	ga	ga	PROPN
ejpam-4693	326	31	for	for	ADP
ejpam-4693	326	32	(	(	PUNCT
ejpam-4693	326	33	problem	problem	NOUN
ejpam-4693	326	34	2	2	NUM
ejpam-4693	326	35	)	)	PUNCT
ejpam-4693	326	36	ham	ham	NOUN
ejpam-4693	326	37	λ1	λ1	ADJ
ejpam-4693	326	38	=	=	SYM
ejpam-4693	326	39	λ2	λ2	NOUN
ejpam-4693	326	40	=	=	SYM
ejpam-4693	326	41	1	1	NUM
ejpam-4693	326	42	h	h	NOUN
ejpam-4693	326	43	=	=	NOUN
ejpam-4693	326	44	−1	−1	NOUN
ejpam-4693	326	45	ham	ham	PROPN
ejpam-4693	326	46	-	-	PUNCT
ejpam-4693	326	47	ga	ga	NOUN
ejpam-4693	326	48	λ1	λ1	PROPN
ejpam-4693	326	49	=	=	SYM
ejpam-4693	326	50	λ2	λ2	PROPN
ejpam-4693	326	51	=	=	SYM
ejpam-4693	326	52	1	1	NUM
ejpam-4693	326	53	,	,	PUNCT
ejpam-4693	326	54	h	h	NOUN
ejpam-4693	327	1	=	=	NOUN
ejpam-4693	327	2	−0.98401	−0.98401	NOUN
ejpam-4693	327	3	m	m	VERB
ejpam-4693	328	1	i	i	PRON
ejpam-4693	328	2	mae	mae	PROPN
ejpam-4693	329	1	mre	mre	PROPN
ejpam-4693	329	2	mae	mae	PROPN
ejpam-4693	329	3	mre	mre	PROPN
ejpam-4693	329	4	2	2	NUM
ejpam-4693	329	5	1	1	NUM
ejpam-4693	329	6	7.494e-02	7.494e-02	NUM
ejpam-4693	329	7	1.545e-02	1.545e-02	NUM
ejpam-4693	329	8	8.174e-02	8.174e-02	NUM
ejpam-4693	329	9	1.899e-02	1.899e-02	NUM
ejpam-4693	329	10	2	2	NUM
ejpam-4693	329	11	1.170e-01	1.170e-01	NUM
ejpam-4693	329	12	5.382e-02	5.382e-02	NUM
ejpam-4693	329	13	1.170e-01	1.170e-01	NUM
ejpam-4693	329	14	5.295e-02	5.295e-02	NUM
ejpam-4693	329	15	3	3	NUM
ejpam-4693	329	16	1	1	NUM
ejpam-4693	329	17	7.716e-02	7.716e-02	NUM
ejpam-4693	329	18	3.207e-02	3.207e-02	NUM
ejpam-4693	329	19	7.720e-02	7.720e-02	NUM
ejpam-4693	329	20	3.158e-02	3.158e-02	NUM
ejpam-4693	329	21	2	2	NUM
ejpam-4693	329	22	1.534e-02	1.534e-02	NUM
ejpam-4693	329	23	2.581e-03	2.581e-03	NUM
ejpam-4693	329	24	1.857e-02	1.857e-02	NUM
ejpam-4693	329	25	4.154e-03	4.154e-03	NUM
ejpam-4693	329	26	4	4	NUM
ejpam-4693	329	27	1	1	NUM
ejpam-4693	329	28	1.114e-02	1.114e-02	NUM
ejpam-4693	329	29	3.207e-03	3.207e-03	NUM
ejpam-4693	329	30	1.425e-02	1.425e-02	NUM
ejpam-4693	329	31	4.529e-03	4.529e-03	NUM
ejpam-4693	329	32	2	2	NUM
ejpam-4693	329	33	1.577e-02	1.577e-02	NUM
ejpam-4693	329	34	6.432e-03	6.432e-03	NUM
ejpam-4693	329	35	1.583e-02	1.583e-02	NUM
ejpam-4693	329	36	6.287e-03	6.287e-03	NUM
ejpam-4693	329	37	5	5	NUM
ejpam-4693	329	38	1	1	NUM
ejpam-4693	329	39	1.157e-02	1.157e-02	NUM
ejpam-4693	329	40	4.556e-03	4.556e-03	NUM
ejpam-4693	329	41	1.164e-02	1.164e-02	NUM
ejpam-4693	329	42	4.514e-03	4.514e-03	NUM
ejpam-4693	329	43	2	2	NUM
ejpam-4693	329	44	2.125e-03	2.125e-03	NUM
ejpam-4693	329	45	4.892e-04	4.892e-04	NUM
ejpam-4693	329	46	2.978e-03	2.978e-03	NUM
ejpam-4693	329	47	8.526e-04	8.526e-04	NUM
ejpam-4693	329	48	6	6	NUM
ejpam-4693	329	49	1	1	NUM
ejpam-4693	329	50	1.642e-03	1.642e-03	NUM
ejpam-4693	329	51	5.243e-04	5.243e-04	NUM
ejpam-4693	329	52	2.413e-03	2.413e-03	NUM
ejpam-4693	329	53	8.310e-04	8.310e-04	NUM
ejpam-4693	329	54	2	2	NUM
ejpam-4693	329	55	2.204e-03	2.204e-03	NUM
ejpam-4693	329	56	8.691e-04	8.691e-04	NUM
ejpam-4693	329	57	2.232e-03	2.232e-03	NUM
ejpam-4693	329	58	8.547e-04	8.547e-04	NUM
ejpam-4693	329	59	table	table	NOUN
ejpam-4693	329	60	9	9	NUM
ejpam-4693	329	61	:	:	PUNCT
ejpam-4693	329	62	mae	mae	PROPN
ejpam-4693	329	63	and	and	CCONJ
ejpam-4693	329	64	mre	mre	PROPN
ejpam-4693	329	65	of	of	ADP
ejpam-4693	329	66	ham	ham	PROPN
ejpam-4693	329	67	-	-	PUNCT
ejpam-4693	329	68	ga	ga	PROPN
ejpam-4693	329	69	for	for	ADP
ejpam-4693	329	70	(	(	PUNCT
ejpam-4693	329	71	problem	problem	NOUN
ejpam-4693	329	72	2	2	NUM
ejpam-4693	329	73	)	)	PUNCT
ejpam-4693	329	74	ham	ham	PROPN
ejpam-4693	329	75	-	-	PUNCT
ejpam-4693	329	76	ga	ga	NOUN
ejpam-4693	329	77	λ1	λ1	PROPN
ejpam-4693	329	78	=	=	SYM
ejpam-4693	329	79	0.5	0.5	NUM
ejpam-4693	329	80	,	,	PUNCT
ejpam-4693	329	81	λ2	λ2	NOUN
ejpam-4693	329	82	=	=	SYM
ejpam-4693	329	83	0.5	0.5	NUM
ejpam-4693	329	84	,	,	PUNCT
ejpam-4693	329	85	h	h	NOUN
ejpam-4693	329	86	=	=	NOUN
ejpam-4693	329	87	−1	−1	NOUN
ejpam-4693	329	88	ham	ham	PROPN
ejpam-4693	329	89	-	-	PUNCT
ejpam-4693	329	90	ga	ga	NOUN
ejpam-4693	329	91	λ1	λ1	PROPN
ejpam-4693	329	92	=	=	SYM
ejpam-4693	329	93	0.5	0.5	NUM
ejpam-4693	329	94	,	,	PUNCT
ejpam-4693	329	95	λ2	λ2	NOUN
ejpam-4693	329	96	=	=	SYM
ejpam-4693	329	97	0.5	0.5	NUM
ejpam-4693	329	98	,	,	PUNCT
ejpam-4693	329	99	h	h	NOUN
ejpam-4693	330	1	=	=	NOUN
ejpam-4693	330	2	−0.98401	−0.98401	NOUN
ejpam-4693	330	3	m	m	VERB
ejpam-4693	331	1	i	i	PRON
ejpam-4693	331	2	mae	mae	PROPN
ejpam-4693	331	3	mre	mre	PROPN
ejpam-4693	331	4	mae	mae	PROPN
ejpam-4693	331	5	mre	mre	PROPN
ejpam-4693	331	6	2	2	NUM
ejpam-4693	331	7	1	1	NUM
ejpam-4693	331	8	2.411e-02	2.411e-02	NUM
ejpam-4693	331	9	8.656e-03	8.656e-03	NUM
ejpam-4693	331	10	2.772e-02	2.772e-02	NUM
ejpam-4693	331	11	1.058e-02	1.058e-02	NUM
ejpam-4693	331	12	2	2	NUM
ejpam-4693	331	13	3.019e-02	3.019e-02	NUM
ejpam-4693	331	14	1.452e-02	1.452e-02	NUM
ejpam-4693	331	15	3.063e-02	3.063e-02	NUM
ejpam-4693	331	16	1.451e-02	1.451e-02	NUM
ejpam-4693	331	17	3	3	NUM
ejpam-4693	331	18	1	1	NUM
ejpam-4693	331	19	1.051e-02	1.051e-02	NUM
ejpam-4693	331	20	4.590e-03	4.590e-03	NUM
ejpam-4693	331	21	1.100e-02	1.100e-02	NUM
ejpam-4693	331	22	4.749e-03	4.749e-03	NUM
ejpam-4693	331	23	2	2	NUM
ejpam-4693	331	24	2.735e-03	2.735e-03	NUM
ejpam-4693	331	25	9.328e-04	9.328e-04	NUM
ejpam-4693	331	26	3.613e-03	3.613e-03	NUM
ejpam-4693	331	27	1.351e-03	1.351e-03	NUM
ejpam-4693	331	28	4	4	NUM
ejpam-4693	331	29	1	1	NUM
ejpam-4693	331	30	1.221e-03	1.221e-03	NUM
ejpam-4693	331	31	4.665e-04	4.665e-04	NUM
ejpam-4693	331	32	1.671e-03	1.671e-03	NUM
ejpam-4693	331	33	6.618e-04	6.618e-04	NUM
ejpam-4693	331	34	2	2	NUM
ejpam-4693	331	35	1.110e-03	1.110e-03	NUM
ejpam-4693	331	36	4.649e-04	4.649e-04	NUM
ejpam-4693	331	37	1.207e-03	1.207e-03	NUM
ejpam-4693	331	38	4.968e-04	4.968e-04	NUM
ejpam-4693	331	39	5	5	NUM
ejpam-4693	331	40	1	1	NUM
ejpam-4693	331	41	4.361e-04	4.361e-04	NUM
ejpam-4693	331	42	1.779e-04	1.779e-04	NUM
ejpam-4693	331	43	4.993e-04	4.993e-04	NUM
ejpam-4693	331	44	2.020e-04	2.020e-04	NUM
ejpam-4693	331	45	2	2	NUM
ejpam-4693	331	46	1.270e-04	1.270e-04	NUM
ejpam-4693	331	47	4.611e-05	4.611e-05	NUM
ejpam-4693	331	48	1.912e-04	1.912e-04	NUM
ejpam-4693	331	49	7.297e-05	7.297e-05	NUM
ejpam-4693	331	50	6	6	NUM
ejpam-4693	331	51	1	1	NUM
ejpam-4693	331	52	5.861e-05	5.861e-05	NUM
ejpam-4693	331	53	2.268e-05	2.268e-05	NUM
ejpam-4693	331	54	9.015e-05	9.015e-05	NUM
ejpam-4693	331	55	3.552e-06	3.552e-06	NUM
ejpam-4693	331	56	2	2	NUM
ejpam-4693	331	57	4.302e-05	4.302e-05	NUM
ejpam-4693	331	58	1.721e-05	1.721e-05	NUM
ejpam-4693	331	59	5.203e-05	5.203e-05	NUM
ejpam-4693	331	60	2.049e-06	2.049e-06	NUM
ejpam-4693	331	61	table	table	NOUN
ejpam-4693	331	62	10	10	NUM
ejpam-4693	331	63	:	:	PUNCT
ejpam-4693	331	64	errors	error	NOUN
ejpam-4693	331	65	on	on	ADP
ejpam-4693	331	66	the	the	DET
ejpam-4693	331	67	interval	interval	NOUN
ejpam-4693	331	68	h	h	NOUN
ejpam-4693	331	69	-	-	PUNCT
ejpam-4693	331	70	curves	curve	NOUN
ejpam-4693	331	71	for	for	ADP
ejpam-4693	331	72	(	(	PUNCT
ejpam-4693	331	73	problem	problem	NOUN
ejpam-4693	331	74	2	2	NUM
ejpam-4693	331	75	)	)	PUNCT
ejpam-4693	331	76	when	when	SCONJ
ejpam-4693	331	77	λ1	λ1	ADJ
ejpam-4693	331	78	=	=	SYM
ejpam-4693	331	79	λ2	λ2	NOUN
ejpam-4693	331	80	=	=	SYM
ejpam-4693	331	81	1	1	NUM
ejpam-4693	331	82	x	x	SYM
ejpam-4693	331	83	i	i	PRON
ejpam-4693	331	84	h=-1.2	h=-1.2	VERB
ejpam-4693	331	85	h=-0.98213	h=-0.98213	X
ejpam-4693	331	86	h=-1	h=-1	ADV
ejpam-4693	331	87	h=-0.8	h=-0.8	NOUN
ejpam-4693	331	88	-0.5	-0.5	X
ejpam-4693	331	89	1	1	NUM
ejpam-4693	331	90	3.319e-02	3.319e-02	NUM
ejpam-4693	331	91	1.164e-02	1.164e-02	NUM
ejpam-4693	331	92	1.157e-02	1.157e-02	NUM
ejpam-4693	331	93	2.387e-02	2.387e-02	NUM
ejpam-4693	331	94	2	2	NUM
ejpam-4693	331	95	1.640e-02	1.640e-02	NUM
ejpam-4693	331	96	2.978e-03	2.978e-03	NUM
ejpam-4693	331	97	2.125e-03	2.125e-03	NUM
ejpam-4693	331	98	1.287e-02	1.287e-02	NUM
ejpam-4693	331	99	-0.3	-0.3	PROPN
ejpam-4693	331	100	1	1	NUM
ejpam-4693	331	101	6.576e-03	6.576e-03	NUM
ejpam-4693	331	102	1.019e-03	1.019e-03	NUM
ejpam-4693	331	103	9.955e-04	9.955e-04	NUM
ejpam-4693	331	104	4.423e-03	4.423e-03	NUM
ejpam-4693	331	105	2	2	NUM
ejpam-4693	331	106	3.711e-03	3.711e-03	NUM
ejpam-4693	331	107	2.505e-04	2.505e-04	NUM
ejpam-4693	331	108	1.170e-04	1.170e-04	NUM
ejpam-4693	331	109	2.504e-03	2.504e-03	NUM
ejpam-4693	331	110	-0.1	-0.1	NOUN
ejpam-4693	331	111	1	1	NUM
ejpam-4693	331	112	3.672e-04	3.672e-04	NUM
ejpam-4693	331	113	5.303e-06	5.303e-06	NUM
ejpam-4693	331	114	4.306e-06	4.306e-06	NUM
ejpam-4693	331	115	2.826e-04	2.826e-04	NUM
ejpam-4693	331	116	2	2	NUM
ejpam-4693	331	117	2.132e-04	2.132e-04	NUM
ejpam-4693	331	118	2.054e-06	2.054e-06	NUM
ejpam-4693	331	119	1.745e-07	1.745e-07	NUM
ejpam-4693	331	120	1.520e-04	1.520e-04	NUM
ejpam-4693	331	121	0.1	0.1	NUM
ejpam-4693	331	122	1	1	NUM
ejpam-4693	331	123	3.672e-04	3.672e-04	NUM
ejpam-4693	331	124	5.303e-06	5.303e-06	NUM
ejpam-4693	331	125	4.306e-06	4.306e-06	NUM
ejpam-4693	331	126	2.826e-04	2.826e-04	NUM
ejpam-4693	331	127	2	2	NUM
ejpam-4693	331	128	2.132e-04	2.132e-04	NUM
ejpam-4693	331	129	2.054e-06	2.054e-06	NUM
ejpam-4693	331	130	1.745e-07	1.745e-07	NUM
ejpam-4693	331	131	1.520e-04	1.520e-04	NUM
ejpam-4693	331	132	0.3	0.3	NUM
ejpam-4693	331	133	1	1	NUM
ejpam-4693	331	134	6.576e-03	6.576e-03	NUM
ejpam-4693	331	135	1.019e-03	1.019e-03	NUM
ejpam-4693	331	136	9.955e-04	9.955e-04	NUM
ejpam-4693	331	137	4.423e-03	4.423e-03	NUM
ejpam-4693	331	138	2	2	NUM
ejpam-4693	331	139	3.711e-03	3.711e-03	NUM
ejpam-4693	331	140	2.505e-04	2.505e-04	NUM
ejpam-4693	331	141	1.170e-04	1.170e-04	NUM
ejpam-4693	331	142	2.504e-03	2.504e-03	NUM
ejpam-4693	331	143	0.5	0.5	NUM
ejpam-4693	331	144	1	1	NUM
ejpam-4693	331	145	3.319e-02	3.319e-02	NUM
ejpam-4693	331	146	1.164e-02	1.164e-02	NUM
ejpam-4693	331	147	1.157e-02	1.157e-02	NUM
ejpam-4693	331	148	2.387e-02	2.387e-02	NUM
ejpam-4693	331	149	2	2	NUM
ejpam-4693	331	150	1.640e-02	1.640e-02	NUM
ejpam-4693	331	151	2.978e-03	2.978e-03	NUM
ejpam-4693	331	152	2.125e-03	2.125e-03	NUM
ejpam-4693	331	153	1.287e-02	1.287e-02	NUM
ejpam-4693	331	154	rasha	rasha	PROPN
ejpam-4693	331	155	f.	f.	PROPN
ejpam-4693	331	156	ahmed	ahmed	PROPN
ejpam-4693	331	157	,	,	PUNCT
ejpam-4693	331	158	w.	w.	PROPN
ejpam-4693	331	159	al	al	PROPN
ejpam-4693	331	160	-	-	PUNCT
ejpam-4693	331	161	hayani	hayani	PROPN
ejpam-4693	331	162	,	,	PUNCT
ejpam-4693	331	163	a.	a.	PROPN
ejpam-4693	331	164	y.	y.	PROPN
ejpam-4693	331	165	al	al	PROPN
ejpam-4693	331	166	-	-	PUNCT
ejpam-4693	331	167	bayati	bayati	PROPN
ejpam-4693	331	168	/	/	SYM
ejpam-4693	331	169	eur	eur	PROPN
ejpam-4693	331	170	.	.	PUNCT
ejpam-4693	332	1	j.	j.	PROPN
ejpam-4693	332	2	pure	pure	PROPN
ejpam-4693	332	3	appl	appl	PROPN
ejpam-4693	332	4	.	.	PROPN
ejpam-4693	332	5	math	math	PROPN
ejpam-4693	332	6	,	,	PUNCT
ejpam-4693	332	7	16	16	NUM
ejpam-4693	332	8	(	(	PUNCT
ejpam-4693	332	9	2	2	NUM
ejpam-4693	332	10	)	)	PUNCT
ejpam-4693	332	11	(	(	PUNCT
ejpam-4693	332	12	2023	2023	NUM
ejpam-4693	332	13	)	)	PUNCT
ejpam-4693	332	14	,	,	PUNCT
ejpam-4693	332	15	864	864	NUM
ejpam-4693	332	16	-	-	SYM
ejpam-4693	332	17	892	892	NUM
ejpam-4693	332	18	882	882	NUM
ejpam-4693	332	19	in	in	ADP
ejpam-4693	332	20	figures	figure	NOUN
ejpam-4693	332	21	8	8	NUM
ejpam-4693	332	22	and	and	CCONJ
ejpam-4693	332	23	9	9	NUM
ejpam-4693	332	24	,	,	PUNCT
ejpam-4693	332	25	an	an	DET
ejpam-4693	332	26	illustration	illustration	NOUN
ejpam-4693	332	27	shows	show	VERB
ejpam-4693	332	28	how	how	SCONJ
ejpam-4693	332	29	well	well	ADV
ejpam-4693	332	30	the	the	DET
ejpam-4693	332	31	exact	exact	ADJ
ejpam-4693	332	32	solution	solution	NOUN
ejpam-4693	332	33	matches	match	NOUN
ejpam-4693	332	34	with	with	ADP
ejpam-4693	332	35	the	the	DET
ejpam-4693	332	36	approximate	approximate	ADJ
ejpam-4693	332	37	solution	solution	NOUN
ejpam-4693	332	38	using	use	VERB
ejpam-4693	332	39	the	the	DET
ejpam-4693	332	40	genetic	genetic	ADJ
ejpam-4693	332	41	algorithm	algorithm	NOUN
ejpam-4693	332	42	h=-0.98401	h=-0.98401	PROPN
ejpam-4693	332	43	with	with	ADP
ejpam-4693	332	44	λ1	λ1	PROPN
ejpam-4693	332	45	=	=	SYM
ejpam-4693	332	46	λ2	λ2	PROPN
ejpam-4693	332	47	=	=	SYM
ejpam-4693	332	48	1	1	X
ejpam-4693	332	49	.	.	PUNCT
ejpam-4693	332	50	in	in	ADP
ejpam-4693	332	51	figures	figure	NOUN
ejpam-4693	332	52	10	10	NUM
ejpam-4693	332	53	and	and	CCONJ
ejpam-4693	332	54	11	11	NUM
ejpam-4693	332	55	the	the	DET
ejpam-4693	332	56	h	h	NOUN
ejpam-4693	332	57	-	-	PUNCT
ejpam-4693	332	58	curves	curve	NOUN
ejpam-4693	332	59	present	present	ADJ
ejpam-4693	332	60	for	for	ADP
ejpam-4693	332	61	(	(	PUNCT
ejpam-4693	332	62	problem	problem	NOUN
ejpam-4693	332	63	2	2	NUM
ejpam-4693	332	64	)	)	PUNCT
ejpam-4693	332	65	when	when	SCONJ
ejpam-4693	332	66	λ1	λ1	ADJ
ejpam-4693	332	67	=	=	SYM
ejpam-4693	332	68	λ2	λ2	PROPN
ejpam-4693	332	69	=	=	SYM
ejpam-4693	332	70	1	1	X
ejpam-4693	332	71	.	.	X
ejpam-4693	332	72	we	we	PRON
ejpam-4693	332	73	present	present	VERB
ejpam-4693	332	74	the	the	DET
ejpam-4693	332	75	error	error	NOUN
ejpam-4693	332	76	residual	residual	ADJ
ejpam-4693	332	77	er	er	INTJ
ejpam-4693	332	78	(	(	PUNCT
ejpam-4693	332	79	ui	ui	PROPN
ejpam-4693	332	80	(	(	PUNCT
ejpam-4693	332	81	x	x	NOUN
ejpam-4693	332	82	)	)	PUNCT
ejpam-4693	332	83	)	)	PUNCT
ejpam-4693	332	84	,	,	PUNCT
ejpam-4693	332	85	i	i	PRON
ejpam-4693	332	86	=	=	NOUN
ejpam-4693	332	87	1	1	NUM
ejpam-4693	332	88	,	,	PUNCT
ejpam-4693	332	89	2	2	NUM
ejpam-4693	332	90	of	of	ADP
ejpam-4693	332	91	ham	ham	NOUN
ejpam-4693	332	92	-	-	PUNCT
ejpam-4693	332	93	ga	ga	PROPN
ejpam-4693	332	94	when	when	SCONJ
ejpam-4693	332	95	λ1	λ1	ADJ
ejpam-4693	332	96	=	=	SYM
ejpam-4693	332	97	λ2	λ2	PROPN
ejpam-4693	332	98	=	=	SYM
ejpam-4693	332	99	0.5	0.5	NUM
ejpam-4693	332	100	,	,	PUNCT
ejpam-4693	332	101	h	h	NOUN
ejpam-4693	332	102	=	=	NOUN
ejpam-4693	332	103	−0.98401	−0.98401	NOUN
ejpam-4693	332	104	in	in	ADP
ejpam-4693	332	105	figures	figure	NOUN
ejpam-4693	332	106	12	12	NUM
ejpam-4693	332	107	and	and	CCONJ
ejpam-4693	332	108	13	13	NUM
ejpam-4693	332	109	.	.	PUNCT
ejpam-4693	333	1	the	the	DET
ejpam-4693	333	2	cpu	cpu	NOUN
ejpam-4693	333	3	time	time	NOUN
ejpam-4693	333	4	=	=	SYM
ejpam-4693	333	5	2.828	2.828	NUM
ejpam-4693	333	6	seconds	second	NOUN
ejpam-4693	333	7	.	.	PUNCT
ejpam-4693	334	1	figure	figure	VERB
ejpam-4693	334	2	8	8	NUM
ejpam-4693	334	3	:	:	PUNCT
ejpam-4693	334	4	line	line	NOUN
ejpam-4693	334	5	:	:	PUNCT
ejpam-4693	334	6	uexact1	uexact1	X
ejpam-4693	334	7	(	(	PUNCT
ejpam-4693	334	8	x	x	X
ejpam-4693	334	9	)	)	PUNCT
ejpam-4693	334	10	,	,	PUNCT
ejpam-4693	334	11	o	o	NOUN
ejpam-4693	334	12	:	:	PUNCT
ejpam-4693	334	13	ham	ham	NOUN
ejpam-4693	334	14	−ga1(x	−ga1(x	NOUN
ejpam-4693	334	15	)	)	PUNCT
ejpam-4693	334	16	figure	figure	NOUN
ejpam-4693	334	17	9	9	NUM
ejpam-4693	334	18	:	:	PUNCT
ejpam-4693	334	19	line	line	NOUN
ejpam-4693	334	20	:	:	PUNCT
ejpam-4693	334	21	uexact2	uexact2	NOUN
ejpam-4693	334	22	(	(	PUNCT
ejpam-4693	334	23	x	x	X
ejpam-4693	334	24	)	)	PUNCT
ejpam-4693	334	25	,	,	PUNCT
ejpam-4693	335	1	o	o	NOUN
ejpam-4693	335	2	:	:	PUNCT
ejpam-4693	335	3	ham	ham	NOUN
ejpam-4693	335	4	−ga2(x	−ga2(x	NOUN
ejpam-4693	335	5	)	)	PUNCT
ejpam-4693	335	6	figure	figure	NOUN
ejpam-4693	335	7	10	10	NUM
ejpam-4693	335	8	:	:	PUNCT
ejpam-4693	335	9	h	h	NOUN
ejpam-4693	335	10	-	-	PUNCT
ejpam-4693	335	11	curve	curve	NOUN
ejpam-4693	335	12	for	for	ADP
ejpam-4693	335	13	u′	u′	PROPN
ejpam-4693	335	14	1	1	NUM
ejpam-4693	335	15	(	(	PUNCT
ejpam-4693	335	16	0.1	0.1	NUM
ejpam-4693	335	17	,	,	PUNCT
ejpam-4693	335	18	h	h	NOUN
ejpam-4693	335	19	)	)	PUNCT
ejpam-4693	335	20	figure	figure	NOUN
ejpam-4693	335	21	11	11	NUM
ejpam-4693	335	22	:	:	PUNCT
ejpam-4693	335	23	h	h	NOUN
ejpam-4693	335	24	-	-	PUNCT
ejpam-4693	335	25	curve	curve	NOUN
ejpam-4693	335	26	for	for	ADP
ejpam-4693	335	27	u′	u′	PROPN
ejpam-4693	335	28	2	2	NUM
ejpam-4693	335	29	(	(	PUNCT
ejpam-4693	335	30	0.4	0.4	NUM
ejpam-4693	335	31	,	,	PUNCT
ejpam-4693	335	32	h	h	NOUN
ejpam-4693	335	33	)	)	PUNCT
ejpam-4693	335	34	rasha	rasha	PROPN
ejpam-4693	335	35	f.	f.	PROPN
ejpam-4693	335	36	ahmed	ahmed	PROPN
ejpam-4693	335	37	,	,	PUNCT
ejpam-4693	335	38	w.	w.	PROPN
ejpam-4693	335	39	al	al	PROPN
ejpam-4693	335	40	-	-	PUNCT
ejpam-4693	335	41	hayani	hayani	PROPN
ejpam-4693	335	42	,	,	PUNCT
ejpam-4693	335	43	a.	a.	PROPN
ejpam-4693	335	44	y.	y.	PROPN
ejpam-4693	335	45	al	al	PROPN
ejpam-4693	335	46	-	-	PUNCT
ejpam-4693	335	47	bayati	bayati	PROPN
ejpam-4693	335	48	/	/	SYM
ejpam-4693	335	49	eur	eur	PROPN
ejpam-4693	335	50	.	.	PUNCT
ejpam-4693	336	1	j.	j.	PROPN
ejpam-4693	336	2	pure	pure	PROPN
ejpam-4693	336	3	appl	appl	PROPN
ejpam-4693	336	4	.	.	PROPN
ejpam-4693	336	5	math	math	PROPN
ejpam-4693	336	6	,	,	PUNCT
ejpam-4693	336	7	16	16	NUM
ejpam-4693	336	8	(	(	PUNCT
ejpam-4693	336	9	2	2	NUM
ejpam-4693	336	10	)	)	PUNCT
ejpam-4693	336	11	(	(	PUNCT
ejpam-4693	336	12	2023	2023	NUM
ejpam-4693	336	13	)	)	PUNCT
ejpam-4693	336	14	,	,	PUNCT
ejpam-4693	336	15	864	864	NUM
ejpam-4693	336	16	-	-	SYM
ejpam-4693	336	17	892	892	NUM
ejpam-4693	336	18	883	883	NUM
ejpam-4693	336	19	figure	figure	NOUN
ejpam-4693	336	20	12	12	NUM
ejpam-4693	336	21	:	:	PUNCT
ejpam-4693	336	22	er	er	INTJ
ejpam-4693	336	23	(	(	PUNCT
ejpam-4693	336	24	u1	u1	PROPN
ejpam-4693	336	25	(	(	PUNCT
ejpam-4693	336	26	x	x	NOUN
ejpam-4693	336	27	)	)	PUNCT
ejpam-4693	336	28	)	)	PUNCT
ejpam-4693	336	29	of	of	ADP
ejpam-4693	336	30	ham	ham	PROPN
ejpam-4693	336	31	-	-	PUNCT
ejpam-4693	336	32	ga	ga	NOUN
ejpam-4693	336	33	figure	figure	NOUN
ejpam-4693	336	34	13	13	NUM
ejpam-4693	336	35	:	:	PUNCT
ejpam-4693	336	36	er	er	INTJ
ejpam-4693	336	37	(	(	PUNCT
ejpam-4693	336	38	u2	u2	PROPN
ejpam-4693	336	39	(	(	PUNCT
ejpam-4693	336	40	x	x	NOUN
ejpam-4693	336	41	)	)	PUNCT
ejpam-4693	336	42	)	)	PUNCT
ejpam-4693	336	43	of	of	ADP
ejpam-4693	336	44	ham	ham	PROPN
ejpam-4693	336	45	-	-	PUNCT
ejpam-4693	336	46	ga	ga	PROPN
ejpam-4693	336	47	problem	problem	NOUN
ejpam-4693	336	48	3	3	X
ejpam-4693	336	49	.	.	PUNCT
ejpam-4693	337	1	finally	finally	ADV
ejpam-4693	337	2	,	,	PUNCT
ejpam-4693	337	3	let	let	VERB
ejpam-4693	337	4	us	we	PRON
ejpam-4693	337	5	consider	consider	VERB
ejpam-4693	337	6	the	the	DET
ejpam-4693	337	7	following	follow	VERB
ejpam-4693	337	8	nlsvies	nlsvie	NOUN
ejpam-4693	337	9	[	[	X
ejpam-4693	337	10	8	8	X
ejpam-4693	337	11	]	]	X
ejpam-4693	337	12			PRON
ejpam-4693	337	13	u1	u1	VERB
ejpam-4693	337	14	(	(	PUNCT
ejpam-4693	337	15	x	x	NOUN
ejpam-4693	337	16	)	)	PUNCT
ejpam-4693	337	17	=	=	SYM
ejpam-4693	337	18	f1	f1	NOUN
ejpam-4693	337	19	(	(	PUNCT
ejpam-4693	337	20	x	x	NOUN
ejpam-4693	337	21	)	)	PUNCT
ejpam-4693	338	1	+	+	CCONJ
ejpam-4693	338	2	4	4	NUM
ejpam-4693	338	3	∫	∫	NOUN
ejpam-4693	338	4	x	x	SYM
ejpam-4693	338	5	0	0	NUM
ejpam-4693	338	6	u1(t)u2(t)dt	u1(t)u2(t)dt	PROPN
ejpam-4693	338	7	,	,	PUNCT
ejpam-4693	338	8	u2	u2	NOUN
ejpam-4693	338	9	(	(	PUNCT
ejpam-4693	338	10	x	x	NOUN
ejpam-4693	338	11	)	)	PUNCT
ejpam-4693	338	12	=	=	SYM
ejpam-4693	339	1	f2	f2	PROPN
ejpam-4693	339	2	(	(	PUNCT
ejpam-4693	339	3	x	x	X
ejpam-4693	339	4	)	)	PUNCT
ejpam-4693	340	1	+	+	CCONJ
ejpam-4693	340	2	∫	∫	PROPN
ejpam-4693	340	3	x	x	SYM
ejpam-4693	340	4	0	0	SYM
ejpam-4693	341	1	tu1(t)u	tu1(t)u	ADJ
ejpam-4693	341	2	2	2	NUM
ejpam-4693	341	3	3(t)dt	3(t)dt	NUM
ejpam-4693	341	4	,	,	PUNCT
ejpam-4693	341	5	u3	u3	NOUN
ejpam-4693	341	6	(	(	PUNCT
ejpam-4693	341	7	x	x	NOUN
ejpam-4693	341	8	)	)	PUNCT
ejpam-4693	341	9	=	=	SYM
ejpam-4693	341	10	f3	f3	ADJ
ejpam-4693	341	11	(	(	PUNCT
ejpam-4693	341	12	x	x	NOUN
ejpam-4693	341	13	)	)	PUNCT
ejpam-4693	341	14	−	−	NOUN
ejpam-4693	341	15	1	1	NUM
ejpam-4693	341	16	3	3	NUM
ejpam-4693	341	17	∫	∫	NOUN
ejpam-4693	341	18	x	x	SYM
ejpam-4693	341	19	0	0	NUM
ejpam-4693	341	20	tu2(t)u3(t)dt	tu2(t)u3(t)dt	NOUN
ejpam-4693	341	21	,	,	PUNCT
ejpam-4693	341	22	(	(	PUNCT
ejpam-4693	341	23	40	40	NUM
ejpam-4693	341	24	)	)	PUNCT
ejpam-4693	341	25	where	where	SCONJ
ejpam-4693	341	26			PRON
ejpam-4693	341	27	f1	f1	NOUN
ejpam-4693	341	28	(	(	PUNCT
ejpam-4693	341	29	x	x	NOUN
ejpam-4693	341	30	)	)	PUNCT
ejpam-4693	341	31	=	=	SYM
ejpam-4693	342	1	−2	−2	NOUN
ejpam-4693	342	2	ln	ln	NOUN
ejpam-4693	342	3	(	(	PUNCT
ejpam-4693	342	4	x)x2	x)x2	PROPN
ejpam-4693	343	1	+	+	CCONJ
ejpam-4693	343	2	x2	x2	PROPN
ejpam-4693	344	1	+	+	CCONJ
ejpam-4693	344	2	ln	ln	ADJ
ejpam-4693	344	3	(	(	PUNCT
ejpam-4693	344	4	x	x	NOUN
ejpam-4693	344	5	)	)	PUNCT
ejpam-4693	344	6	,	,	PUNCT
ejpam-4693	344	7	f2	f2	PROPN
ejpam-4693	344	8	(	(	PUNCT
ejpam-4693	344	9	x	x	NOUN
ejpam-4693	344	10	)	)	PUNCT
ejpam-4693	344	11	=	=	SYM
ejpam-4693	344	12	−1	−1	NOUN
ejpam-4693	344	13	6	6	NUM
ejpam-4693	344	14	ln	ln	NOUN
ejpam-4693	344	15	(	(	PUNCT
ejpam-4693	344	16	x)x6	x)x6	PROPN
ejpam-4693	344	17	+	+	CCONJ
ejpam-4693	344	18	1	1	NUM
ejpam-4693	344	19	36x	36x	NUM
ejpam-4693	344	20	6	6	NUM
ejpam-4693	344	21	+	+	CCONJ
ejpam-4693	344	22	x	x	NOUN
ejpam-4693	344	23	,	,	PUNCT
ejpam-4693	344	24	f3	f3	PROPN
ejpam-4693	344	25	(	(	PUNCT
ejpam-4693	344	26	x	x	X
ejpam-4693	344	27	)	)	PUNCT
ejpam-4693	344	28	=	=	SYM
ejpam-4693	344	29	1	1	NUM
ejpam-4693	344	30	15x	15x	NUM
ejpam-4693	344	31	5	5	NUM
ejpam-4693	344	32	+	+	CCONJ
ejpam-4693	344	33	x2	x2	PROPN
ejpam-4693	344	34	,	,	PUNCT
ejpam-4693	344	35	(	(	PUNCT
ejpam-4693	344	36	41	41	NUM
ejpam-4693	344	37	)	)	PUNCT
ejpam-4693	344	38	with	with	ADP
ejpam-4693	344	39	the	the	DET
ejpam-4693	344	40	exact	exact	ADJ
ejpam-4693	344	41	solutions	solution	NOUN
ejpam-4693	344	42	uexact1	uexact1	VERB
ejpam-4693	344	43	(	(	PUNCT
ejpam-4693	344	44	x	x	X
ejpam-4693	344	45	)	)	PUNCT
ejpam-4693	344	46	=	=	SYM
ejpam-4693	345	1	ln	ln	ADJ
ejpam-4693	345	2	(	(	PUNCT
ejpam-4693	345	3	x	x	X
ejpam-4693	345	4	)	)	PUNCT
ejpam-4693	345	5	,	,	PUNCT
ejpam-4693	345	6	uexact2	uexact2	NOUN
ejpam-4693	345	7	(	(	PUNCT
ejpam-4693	345	8	x	x	X
ejpam-4693	345	9	)	)	PUNCT
ejpam-4693	345	10	=	=	SYM
ejpam-4693	346	1	x	x	NOUN
ejpam-4693	346	2	,	,	PUNCT
ejpam-4693	346	3	uexact3	uexact3	PROPN
ejpam-4693	346	4	(	(	PUNCT
ejpam-4693	346	5	x	x	X
ejpam-4693	346	6	)	)	PUNCT
ejpam-4693	346	7	=	=	SYM
ejpam-4693	346	8	x2	x2	PROPN
ejpam-4693	346	9	.	.	PUNCT
ejpam-4693	347	1	(	(	PUNCT
ejpam-4693	347	2	42	42	NUM
ejpam-4693	347	3	)	)	PUNCT
ejpam-4693	347	4	to	to	PART
ejpam-4693	347	5	solve	solve	VERB
ejpam-4693	347	6	40	40	NUM
ejpam-4693	347	7	and	and	CCONJ
ejpam-4693	347	8	41	41	NUM
ejpam-4693	347	9	by	by	ADP
ejpam-4693	347	10	means	mean	NOUN
ejpam-4693	347	11	of	of	ADP
ejpam-4693	347	12	the	the	DET
ejpam-4693	347	13	standard	standard	ADJ
ejpam-4693	347	14	ham	ham	NOUN
ejpam-4693	347	15	,	,	PUNCT
ejpam-4693	347	16	we	we	PRON
ejpam-4693	347	17	choose	choose	VERB
ejpam-4693	347	18	the	the	DET
ejpam-4693	347	19	initial	initial	ADJ
ejpam-4693	347	20	approximation	approximation	NOUN
ejpam-4693	347	21	u1,0	u1,0	PROPN
ejpam-4693	347	22	(	(	PUNCT
ejpam-4693	347	23	x	x	NOUN
ejpam-4693	347	24	)	)	PUNCT
ejpam-4693	347	25	=	=	SYM
ejpam-4693	347	26	f1	f1	NOUN
ejpam-4693	347	27	(	(	PUNCT
ejpam-4693	347	28	x	x	NOUN
ejpam-4693	347	29	)	)	PUNCT
ejpam-4693	347	30	,	,	PUNCT
ejpam-4693	347	31	u2,0	u2,0	PROPN
ejpam-4693	347	32	(	(	PUNCT
ejpam-4693	347	33	x	x	X
ejpam-4693	347	34	)	)	PUNCT
ejpam-4693	347	35	=	=	SYM
ejpam-4693	348	1	f2	f2	PROPN
ejpam-4693	348	2	(	(	PUNCT
ejpam-4693	348	3	x	x	NOUN
ejpam-4693	348	4	)	)	PUNCT
ejpam-4693	348	5	,	,	PUNCT
ejpam-4693	348	6	u3,0	u3,0	PROPN
ejpam-4693	348	7	(	(	PUNCT
ejpam-4693	348	8	x	x	NOUN
ejpam-4693	348	9	)	)	PUNCT
ejpam-4693	348	10	=	=	SYM
ejpam-4693	348	11	f3	f3	ADJ
ejpam-4693	348	12	(	(	PUNCT
ejpam-4693	348	13	x	x	NOUN
ejpam-4693	348	14	)	)	PUNCT
ejpam-4693	348	15	,	,	PUNCT
ejpam-4693	348	16	(	(	PUNCT
ejpam-4693	348	17	43	43	NUM
ejpam-4693	348	18	)	)	PUNCT
ejpam-4693	348	19	and	and	CCONJ
ejpam-4693	348	20	the	the	DET
ejpam-4693	348	21	linear	linear	ADJ
ejpam-4693	348	22	operator	operator	NOUN
ejpam-4693	348	23	l	l	NOUN
ejpam-4693	349	1	[	[	X
ejpam-4693	349	2	ϕ1	ϕ1	NOUN
ejpam-4693	349	3	(	(	PUNCT
ejpam-4693	349	4	x	x	X
ejpam-4693	349	5	,	,	PUNCT
ejpam-4693	349	6	q	q	NOUN
ejpam-4693	349	7	)	)	PUNCT
ejpam-4693	349	8	]	]	PUNCT
ejpam-4693	349	9	=	=	PUNCT
ejpam-4693	349	10	ϕ1	ϕ1	NOUN
ejpam-4693	349	11	(	(	PUNCT
ejpam-4693	349	12	x	x	NOUN
ejpam-4693	349	13	,	,	PUNCT
ejpam-4693	349	14	q	q	NOUN
ejpam-4693	349	15	)	)	PUNCT
ejpam-4693	349	16	,	,	PUNCT
ejpam-4693	349	17	l	l	X
ejpam-4693	350	1	[	[	X
ejpam-4693	350	2	ϕ2	ϕ2	ADV
ejpam-4693	350	3	(	(	PUNCT
ejpam-4693	350	4	x	x	NOUN
ejpam-4693	350	5	,	,	PUNCT
ejpam-4693	350	6	q	q	NOUN
ejpam-4693	350	7	)	)	PUNCT
ejpam-4693	350	8	]	]	PUNCT
ejpam-4693	350	9	=	=	PUNCT
ejpam-4693	350	10	ϕ2	ϕ2	ADV
ejpam-4693	350	11	(	(	PUNCT
ejpam-4693	350	12	x	x	NOUN
ejpam-4693	350	13	,	,	PUNCT
ejpam-4693	350	14	q	q	NOUN
ejpam-4693	350	15	)	)	PUNCT
ejpam-4693	350	16	,	,	PUNCT
ejpam-4693	350	17	l	l	X
ejpam-4693	351	1	[	[	X
ejpam-4693	351	2	ϕ3	ϕ3	X
ejpam-4693	351	3	(	(	PUNCT
ejpam-4693	351	4	x	x	X
ejpam-4693	351	5	,	,	PUNCT
ejpam-4693	351	6	q	q	NOUN
ejpam-4693	351	7	)	)	PUNCT
ejpam-4693	351	8	]	]	PUNCT
ejpam-4693	351	9	=	=	PUNCT
ejpam-4693	351	10	ϕ3	ϕ3	PROPN
ejpam-4693	351	11	(	(	PUNCT
ejpam-4693	351	12	x	x	X
ejpam-4693	351	13	,	,	PUNCT
ejpam-4693	351	14	q	q	NOUN
ejpam-4693	351	15	)	)	PUNCT
ejpam-4693	351	16	.	.	PUNCT
ejpam-4693	352	1	(	(	PUNCT
ejpam-4693	352	2	44	44	NUM
ejpam-4693	352	3	)	)	PUNCT
ejpam-4693	352	4	furthermore	furthermore	ADV
ejpam-4693	352	5	,	,	PUNCT
ejpam-4693	352	6	the	the	DET
ejpam-4693	352	7	system	system	NOUN
ejpam-4693	352	8	40	40	NUM
ejpam-4693	352	9	suggests	suggest	VERB
ejpam-4693	352	10	that	that	SCONJ
ejpam-4693	352	11	we	we	PRON
ejpam-4693	352	12	define	define	VERB
ejpam-4693	352	13	the	the	DET
ejpam-4693	352	14	non	non	ADJ
ejpam-4693	352	15	-	-	ADJ
ejpam-4693	352	16	linear	linear	ADJ
ejpam-4693	352	17	operator	operator	NOUN
ejpam-4693	352	18	as	as	ADP
ejpam-4693	352	19	n1	n1	PROPN
ejpam-4693	353	1	[	[	X
ejpam-4693	353	2	ϕ1	ϕ1	NOUN
ejpam-4693	353	3	(	(	PUNCT
ejpam-4693	353	4	x	x	X
ejpam-4693	353	5	,	,	PUNCT
ejpam-4693	353	6	q	q	NOUN
ejpam-4693	353	7	)	)	PUNCT
ejpam-4693	353	8	,	,	PUNCT
ejpam-4693	353	9	ϕ2	ϕ2	ADV
ejpam-4693	353	10	(	(	PUNCT
ejpam-4693	353	11	x	x	NOUN
ejpam-4693	353	12	,	,	PUNCT
ejpam-4693	353	13	q	q	NOUN
ejpam-4693	353	14	)	)	PUNCT
ejpam-4693	353	15	,	,	PUNCT
ejpam-4693	353	16	ϕ3	ϕ3	PROPN
ejpam-4693	353	17	(	(	PUNCT
ejpam-4693	353	18	x	x	X
ejpam-4693	353	19	,	,	PUNCT
ejpam-4693	353	20	q	q	NOUN
ejpam-4693	353	21	)	)	PUNCT
ejpam-4693	353	22	]	]	PUNCT
ejpam-4693	353	23	=	=	PUNCT
ejpam-4693	353	24	ϕ1	ϕ1	NOUN
ejpam-4693	353	25	(	(	PUNCT
ejpam-4693	353	26	x	x	NOUN
ejpam-4693	353	27	,	,	PUNCT
ejpam-4693	353	28	q	q	NOUN
ejpam-4693	353	29	)	)	PUNCT
ejpam-4693	353	30	−	−	PROPN
ejpam-4693	353	31	f1	f1	NOUN
ejpam-4693	353	32	(	(	PUNCT
ejpam-4693	353	33	x	x	NOUN
ejpam-4693	353	34	)	)	PUNCT
ejpam-4693	353	35	−	−	PROPN
ejpam-4693	353	36	4	4	NUM
ejpam-4693	353	37	∫	∫	NOUN
ejpam-4693	353	38	x	x	SYM
ejpam-4693	353	39	0	0	NUM
ejpam-4693	353	40	ϕ1	ϕ1	NOUN
ejpam-4693	353	41	(	(	PUNCT
ejpam-4693	353	42	t	t	PROPN
ejpam-4693	353	43	,	,	PUNCT
ejpam-4693	353	44	q)ϕ2	q)ϕ2	PROPN
ejpam-4693	353	45	(	(	PUNCT
ejpam-4693	353	46	t	t	PROPN
ejpam-4693	353	47	,	,	PUNCT
ejpam-4693	353	48	q	q	NOUN
ejpam-4693	353	49	)	)	PUNCT
ejpam-4693	353	50	dt	dt	PROPN
ejpam-4693	353	51	,	,	PUNCT
ejpam-4693	353	52	n2	n2	ADJ
ejpam-4693	353	53	[	[	X
ejpam-4693	353	54	ϕ1	ϕ1	NOUN
ejpam-4693	353	55	(	(	PUNCT
ejpam-4693	353	56	x	x	NOUN
ejpam-4693	353	57	,	,	PUNCT
ejpam-4693	353	58	q	q	NOUN
ejpam-4693	353	59	)	)	PUNCT
ejpam-4693	353	60	,	,	PUNCT
ejpam-4693	353	61	ϕ2	ϕ2	ADV
ejpam-4693	353	62	(	(	PUNCT
ejpam-4693	353	63	x	x	NOUN
ejpam-4693	353	64	,	,	PUNCT
ejpam-4693	353	65	q	q	NOUN
ejpam-4693	353	66	)	)	PUNCT
ejpam-4693	353	67	,	,	PUNCT
ejpam-4693	353	68	ϕ3	ϕ3	PROPN
ejpam-4693	353	69	(	(	PUNCT
ejpam-4693	353	70	x	x	X
ejpam-4693	353	71	,	,	PUNCT
ejpam-4693	353	72	q	q	NOUN
ejpam-4693	353	73	)	)	PUNCT
ejpam-4693	353	74	]	]	PUNCT
ejpam-4693	354	1	=	=	PUNCT
ejpam-4693	354	2	ϕ2	ϕ2	ADV
ejpam-4693	354	3	(	(	PUNCT
ejpam-4693	354	4	x	x	NOUN
ejpam-4693	354	5	,	,	PUNCT
ejpam-4693	354	6	q	q	NOUN
ejpam-4693	354	7	)	)	PUNCT
ejpam-4693	354	8	−	−	PROPN
ejpam-4693	354	9	f2	f2	INTJ
ejpam-4693	354	10	(	(	PUNCT
ejpam-4693	354	11	x	x	NOUN
ejpam-4693	354	12	)	)	PUNCT
ejpam-4693	354	13	−	−	ADP
ejpam-4693	354	14	∫	∫	PROPN
ejpam-4693	354	15	x	x	SYM
ejpam-4693	354	16	0	0	NUM
ejpam-4693	354	17	tϕ1	tϕ1	NOUN
ejpam-4693	354	18	(	(	PUNCT
ejpam-4693	354	19	t	t	PROPN
ejpam-4693	354	20	,	,	PUNCT
ejpam-4693	354	21	q)ϕ2	q)ϕ2	PROPN
ejpam-4693	354	22	3	3	NUM
ejpam-4693	354	23	(	(	PUNCT
ejpam-4693	354	24	t	t	PROPN
ejpam-4693	354	25	,	,	PUNCT
ejpam-4693	354	26	q	q	NOUN
ejpam-4693	354	27	)	)	PUNCT
ejpam-4693	354	28	dt	dt	PROPN
ejpam-4693	354	29	,	,	PUNCT
ejpam-4693	354	30	n3	n3	NOUN
ejpam-4693	354	31	[	[	X
ejpam-4693	354	32	ϕ1	ϕ1	NOUN
ejpam-4693	354	33	(	(	PUNCT
ejpam-4693	354	34	x	x	NOUN
ejpam-4693	354	35	,	,	PUNCT
ejpam-4693	354	36	q	q	NOUN
ejpam-4693	354	37	)	)	PUNCT
ejpam-4693	354	38	,	,	PUNCT
ejpam-4693	354	39	ϕ2	ϕ2	ADV
ejpam-4693	354	40	(	(	PUNCT
ejpam-4693	354	41	x	x	NOUN
ejpam-4693	354	42	,	,	PUNCT
ejpam-4693	354	43	q	q	NOUN
ejpam-4693	354	44	)	)	PUNCT
ejpam-4693	354	45	,	,	PUNCT
ejpam-4693	354	46	ϕ3	ϕ3	PROPN
ejpam-4693	354	47	(	(	PUNCT
ejpam-4693	354	48	x	x	X
ejpam-4693	354	49	,	,	PUNCT
ejpam-4693	354	50	q	q	NOUN
ejpam-4693	354	51	)	)	PUNCT
ejpam-4693	354	52	]	]	PUNCT
ejpam-4693	354	53	=	=	PUNCT
ejpam-4693	354	54	ϕ3	ϕ3	PROPN
ejpam-4693	354	55	(	(	PUNCT
ejpam-4693	354	56	x	x	X
ejpam-4693	354	57	,	,	PUNCT
ejpam-4693	354	58	q	q	NOUN
ejpam-4693	354	59	)	)	PUNCT
ejpam-4693	354	60	−	−	PROPN
ejpam-4693	354	61	f3	f3	PROPN
ejpam-4693	354	62	(	(	PUNCT
ejpam-4693	354	63	x	x	X
ejpam-4693	354	64	)	)	PUNCT
ejpam-4693	354	65	+	+	CCONJ
ejpam-4693	354	66	1	1	NUM
ejpam-4693	354	67	3	3	NUM
ejpam-4693	354	68	∫	∫	NOUN
ejpam-4693	354	69	x	x	SYM
ejpam-4693	354	70	0	0	PUNCT
ejpam-4693	354	71	tϕ2	tϕ2	PROPN
ejpam-4693	354	72	(	(	PUNCT
ejpam-4693	354	73	t	t	PROPN
ejpam-4693	354	74	,	,	PUNCT
ejpam-4693	354	75	q)ϕ3	q)ϕ3	PROPN
ejpam-4693	354	76	(	(	PUNCT
ejpam-4693	354	77	t	t	PROPN
ejpam-4693	354	78	,	,	PUNCT
ejpam-4693	354	79	q	q	NOUN
ejpam-4693	354	80	)	)	PUNCT
ejpam-4693	354	81	dt	dt	NOUN
ejpam-4693	354	82	.	.	PUNCT
ejpam-4693	355	1	(	(	PUNCT
ejpam-4693	355	2	45	45	NUM
ejpam-4693	355	3	)	)	PUNCT
ejpam-4693	355	4	rasha	rasha	PROPN
ejpam-4693	355	5	f.	f.	PROPN
ejpam-4693	355	6	ahmed	ahmed	PROPN
ejpam-4693	355	7	,	,	PUNCT
ejpam-4693	355	8	w.	w.	PROPN
ejpam-4693	355	9	al	al	PROPN
ejpam-4693	355	10	-	-	PUNCT
ejpam-4693	355	11	hayani	hayani	PROPN
ejpam-4693	355	12	,	,	PUNCT
ejpam-4693	355	13	a.	a.	PROPN
ejpam-4693	355	14	y.	y.	PROPN
ejpam-4693	355	15	al	al	PROPN
ejpam-4693	355	16	-	-	PUNCT
ejpam-4693	355	17	bayati	bayati	PROPN
ejpam-4693	355	18	/	/	SYM
ejpam-4693	355	19	eur	eur	PROPN
ejpam-4693	355	20	.	.	PUNCT
ejpam-4693	356	1	j.	j.	PROPN
ejpam-4693	356	2	pure	pure	PROPN
ejpam-4693	356	3	appl	appl	PROPN
ejpam-4693	356	4	.	.	PROPN
ejpam-4693	356	5	math	math	PROPN
ejpam-4693	356	6	,	,	PUNCT
ejpam-4693	356	7	16	16	NUM
ejpam-4693	356	8	(	(	PUNCT
ejpam-4693	356	9	2	2	NUM
ejpam-4693	356	10	)	)	PUNCT
ejpam-4693	356	11	(	(	PUNCT
ejpam-4693	356	12	2023	2023	NUM
ejpam-4693	356	13	)	)	PUNCT
ejpam-4693	356	14	,	,	PUNCT
ejpam-4693	356	15	864	864	NUM
ejpam-4693	356	16	-	-	SYM
ejpam-4693	356	17	892	892	NUM
ejpam-4693	356	18	884	884	NUM
ejpam-4693	356	19	using	use	VERB
ejpam-4693	356	20	the	the	DET
ejpam-4693	356	21	above	above	ADJ
ejpam-4693	356	22	definition	definition	NOUN
ejpam-4693	356	23	,	,	PUNCT
ejpam-4693	356	24	we	we	PRON
ejpam-4693	356	25	construct	construct	VERB
ejpam-4693	356	26	the	the	DET
ejpam-4693	356	27	zeroth	zeroth	ADJ
ejpam-4693	356	28	-	-	PUNCT
ejpam-4693	356	29	order	order	NOUN
ejpam-4693	356	30	deformation	deformation	NOUN
ejpam-4693	356	31	equation	equation	NOUN
ejpam-4693	356	32	as	as	ADP
ejpam-4693	356	33	in	in	ADP
ejpam-4693	356	34	6	6	NUM
ejpam-4693	356	35	and	and	CCONJ
ejpam-4693	356	36	7	7	NUM
ejpam-4693	356	37	and	and	CCONJ
ejpam-4693	356	38	the	the	DET
ejpam-4693	356	39	mth	mth	NOUN
ejpam-4693	356	40	-	-	PUNCT
ejpam-4693	356	41	order	order	NOUN
ejpam-4693	356	42	deformation	deformation	NOUN
ejpam-4693	356	43	equation	equation	NOUN
ejpam-4693	356	44	for	for	ADP
ejpam-4693	356	45	m	m	PROPN
ejpam-4693	356	46	≥	≥	NOUN
ejpam-4693	356	47	1	1	NUM
ejpam-4693	356	48	is	be	AUX
ejpam-4693	356	49	l	l	NOUN
ejpam-4693	357	1	[	[	X
ejpam-4693	357	2	u1,m	u1,m	PROPN
ejpam-4693	357	3	(	(	PUNCT
ejpam-4693	357	4	x	x	NOUN
ejpam-4693	357	5	)	)	PUNCT
ejpam-4693	357	6	−	−	PROPN
ejpam-4693	357	7	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	357	8	(	(	PUNCT
ejpam-4693	357	9	x	x	NOUN
ejpam-4693	357	10	)	)	PUNCT
ejpam-4693	357	11	]	]	PUNCT
ejpam-4693	358	1	=	=	SYM
ejpam-4693	358	2	h	h	NOUN
ejpam-4693	359	1	[	[	X
ejpam-4693	359	2	r1,m	r1,m	X
ejpam-4693	359	3	(	(	PUNCT
ejpam-4693	359	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	359	5	)	)	PUNCT
ejpam-4693	359	6	,	,	PUNCT
ejpam-4693	359	7	r2,m	r2,m	PROPN
ejpam-4693	359	8	(	(	PUNCT
ejpam-4693	359	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	359	10	)	)	PUNCT
ejpam-4693	359	11	,	,	PUNCT
ejpam-4693	359	12	r3,m	r3,m	PROPN
ejpam-4693	359	13	(	(	PUNCT
ejpam-4693	359	14	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	359	15	)	)	PUNCT
ejpam-4693	359	16	]	]	PUNCT
ejpam-4693	359	17	,	,	PUNCT
ejpam-4693	359	18	l	l	X
ejpam-4693	360	1	[	[	X
ejpam-4693	360	2	u2,m	u2,m	ADJ
ejpam-4693	360	3	(	(	PUNCT
ejpam-4693	360	4	x	x	NOUN
ejpam-4693	360	5	)	)	PUNCT
ejpam-4693	360	6	−	−	PROPN
ejpam-4693	360	7	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	360	8	(	(	PUNCT
ejpam-4693	360	9	x	x	NOUN
ejpam-4693	360	10	)	)	PUNCT
ejpam-4693	360	11	]	]	PUNCT
ejpam-4693	361	1	=	=	SYM
ejpam-4693	361	2	h	h	NOUN
ejpam-4693	362	1	[	[	X
ejpam-4693	362	2	r1,m	r1,m	X
ejpam-4693	362	3	(	(	PUNCT
ejpam-4693	362	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	362	5	)	)	PUNCT
ejpam-4693	362	6	,	,	PUNCT
ejpam-4693	362	7	r2,m	r2,m	PROPN
ejpam-4693	362	8	(	(	PUNCT
ejpam-4693	362	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	362	10	)	)	PUNCT
ejpam-4693	362	11	,	,	PUNCT
ejpam-4693	362	12	r3,m	r3,m	PROPN
ejpam-4693	362	13	(	(	PUNCT
ejpam-4693	362	14	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	362	15	)	)	PUNCT
ejpam-4693	362	16	]	]	PUNCT
ejpam-4693	362	17	,	,	PUNCT
ejpam-4693	362	18	l	l	X
ejpam-4693	363	1	[	[	X
ejpam-4693	363	2	u3,m	u3,m	PROPN
ejpam-4693	363	3	(	(	PUNCT
ejpam-4693	363	4	x	x	NOUN
ejpam-4693	363	5	)	)	PUNCT
ejpam-4693	363	6	−	−	PROPN
ejpam-4693	363	7	χmu3,m−1	χmu3,m−1	SYM
ejpam-4693	363	8	(	(	PUNCT
ejpam-4693	363	9	x	x	NOUN
ejpam-4693	363	10	)	)	PUNCT
ejpam-4693	363	11	]	]	PUNCT
ejpam-4693	364	1	=	=	SYM
ejpam-4693	364	2	h	h	NOUN
ejpam-4693	365	1	[	[	X
ejpam-4693	365	2	r1,m	r1,m	X
ejpam-4693	365	3	(	(	PUNCT
ejpam-4693	365	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	365	5	)	)	PUNCT
ejpam-4693	365	6	,	,	PUNCT
ejpam-4693	365	7	r2,m	r2,m	PROPN
ejpam-4693	365	8	(	(	PUNCT
ejpam-4693	365	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	365	10	)	)	PUNCT
ejpam-4693	365	11	,	,	PUNCT
ejpam-4693	365	12	r3,m	r3,m	PROPN
ejpam-4693	365	13	(	(	PUNCT
ejpam-4693	365	14	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	365	15	)	)	PUNCT
ejpam-4693	365	16	]	]	PUNCT
ejpam-4693	365	17	.	.	PUNCT
ejpam-4693	366	1	(	(	PUNCT
ejpam-4693	366	2	46	46	NUM
ejpam-4693	366	3	)	)	PUNCT
ejpam-4693	366	4	where	where	SCONJ
ejpam-4693	366	5	r1,m	r1,m	PROPN
ejpam-4693	366	6	(	(	PUNCT
ejpam-4693	366	7	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	366	8	,	,	PUNCT
ejpam-4693	366	9	u⃗2,m−1	u⃗2,m−1	NOUN
ejpam-4693	366	10	,	,	PUNCT
ejpam-4693	366	11	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	366	12	)	)	PUNCT
ejpam-4693	367	1	=	=	SYM
ejpam-4693	367	2	u1,m−1	u1,m−1	NUM
ejpam-4693	367	3	(	(	PUNCT
ejpam-4693	367	4	x	x	NOUN
ejpam-4693	367	5	)	)	PUNCT
ejpam-4693	367	6	−	−	PROPN
ejpam-4693	367	7	f1	f1	PROPN
ejpam-4693	367	8	(	(	PUNCT
ejpam-4693	367	9	x	x	NOUN
ejpam-4693	367	10	)	)	PUNCT
ejpam-4693	367	11	−	−	PROPN
ejpam-4693	367	12	4	4	NUM
ejpam-4693	367	13	∫	∫	NOUN
ejpam-4693	367	14	x	x	SYM
ejpam-4693	367	15	0	0	X
ejpam-4693	367	16	u1,m−1	u1,m−1	PROPN
ejpam-4693	367	17	(	(	PUNCT
ejpam-4693	367	18	t)u2,m−1	t)u2,m−1	PROPN
ejpam-4693	367	19	(	(	PUNCT
ejpam-4693	367	20	t	t	PROPN
ejpam-4693	367	21	)	)	PUNCT
ejpam-4693	367	22	dt	dt	PROPN
ejpam-4693	367	23	,	,	PUNCT
ejpam-4693	367	24	r2,m	r2,m	PROPN
ejpam-4693	367	25	(	(	PUNCT
ejpam-4693	367	26	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	367	27	,	,	PUNCT
ejpam-4693	367	28	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	367	29	,	,	PUNCT
ejpam-4693	367	30	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	367	31	)	)	PUNCT
ejpam-4693	367	32	=	=	SYM
ejpam-4693	367	33	u2,m−1	u2,m−1	NOUN
ejpam-4693	367	34	(	(	PUNCT
ejpam-4693	367	35	x	x	NOUN
ejpam-4693	367	36	)	)	PUNCT
ejpam-4693	367	37	−	−	ADP
ejpam-4693	367	38	f2	f2	INTJ
ejpam-4693	367	39	(	(	PUNCT
ejpam-4693	367	40	x	x	NOUN
ejpam-4693	367	41	)	)	PUNCT
ejpam-4693	367	42	−	−	ADP
ejpam-4693	367	43	∫	∫	PROPN
ejpam-4693	367	44	x	x	SYM
ejpam-4693	367	45	0	0	PUNCT
ejpam-4693	367	46	tu1,m−1	tu1,m−1	NOUN
ejpam-4693	367	47	(	(	PUNCT
ejpam-4693	367	48	t)u23,m−1	t)u23,m−1	PROPN
ejpam-4693	367	49	(	(	PUNCT
ejpam-4693	367	50	t	t	PROPN
ejpam-4693	367	51	)	)	PUNCT
ejpam-4693	367	52	dt	dt	PROPN
ejpam-4693	367	53	,	,	PUNCT
ejpam-4693	367	54	r3,m	r3,m	PROPN
ejpam-4693	367	55	(	(	PUNCT
ejpam-4693	367	56	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	367	57	,	,	PUNCT
ejpam-4693	367	58	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	367	59	,	,	PUNCT
ejpam-4693	367	60	u⃗3,m−1	u⃗3,m−1	NOUN
ejpam-4693	367	61	)	)	PUNCT
ejpam-4693	367	62	=	=	SYM
ejpam-4693	368	1	u3,m−1	u3,m−1	ADJ
ejpam-4693	368	2	(	(	PUNCT
ejpam-4693	368	3	x	x	NOUN
ejpam-4693	368	4	)	)	PUNCT
ejpam-4693	368	5	−	−	PROPN
ejpam-4693	368	6	f3	f3	PROPN
ejpam-4693	368	7	(	(	PUNCT
ejpam-4693	368	8	x	x	X
ejpam-4693	368	9	)	)	PUNCT
ejpam-4693	368	10	+	+	CCONJ
ejpam-4693	368	11	1	1	NUM
ejpam-4693	368	12	3	3	NUM
ejpam-4693	368	13	∫	∫	NOUN
ejpam-4693	368	14	x	x	SYM
ejpam-4693	368	15	30	30	NUM
ejpam-4693	368	16	tu2,m−1	tu2,m−1	X
ejpam-4693	368	17	(	(	PUNCT
ejpam-4693	368	18	t)u3,m−1	t)u3,m−1	NOUN
ejpam-4693	368	19	(	(	PUNCT
ejpam-4693	368	20	t	t	NOUN
ejpam-4693	368	21	)	)	PUNCT
ejpam-4693	368	22	dt	dt	PROPN
ejpam-4693	368	23	.	.	PUNCT
ejpam-4693	369	1	(	(	PUNCT
ejpam-4693	369	2	47	47	NUM
ejpam-4693	369	3	)	)	PUNCT
ejpam-4693	369	4	now	now	ADV
ejpam-4693	369	5	,	,	PUNCT
ejpam-4693	369	6	for	for	ADP
ejpam-4693	369	7	m	m	PROPN
ejpam-4693	369	8	≥	≥	NOUN
ejpam-4693	369	9	1	1	NUM
ejpam-4693	369	10	,	,	PUNCT
ejpam-4693	369	11	the	the	DET
ejpam-4693	369	12	solutions	solution	NOUN
ejpam-4693	369	13	of	of	ADP
ejpam-4693	369	14	the	the	DET
ejpam-4693	369	15	mth	mth	NOUN
ejpam-4693	369	16	-	-	PUNCT
ejpam-4693	369	17	order	order	NOUN
ejpam-4693	369	18	deformation	deformation	NOUN
ejpam-4693	369	19	equation	equation	NOUN
ejpam-4693	369	20	47	47	NUM
ejpam-4693	369	21	are	be	AUX
ejpam-4693	369	22	u1,m	u1,m	PROPN
ejpam-4693	369	23	(	(	PUNCT
ejpam-4693	369	24	x	x	X
ejpam-4693	369	25	)	)	PUNCT
ejpam-4693	370	1	=	=	SYM
ejpam-4693	370	2	χmu1,m−1	χmu1,m−1	PROPN
ejpam-4693	370	3	(	(	PUNCT
ejpam-4693	370	4	x	x	X
ejpam-4693	370	5	)	)	PUNCT
ejpam-4693	371	1	+	+	NUM
ejpam-4693	371	2	h	h	NOUN
ejpam-4693	372	1	[	[	X
ejpam-4693	372	2	r1,m	r1,m	X
ejpam-4693	372	3	(	(	PUNCT
ejpam-4693	372	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	372	5	)	)	PUNCT
ejpam-4693	372	6	,	,	PUNCT
ejpam-4693	372	7	r2,m	r2,m	PROPN
ejpam-4693	372	8	(	(	PUNCT
ejpam-4693	372	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	372	10	)	)	PUNCT
ejpam-4693	372	11	,	,	PUNCT
ejpam-4693	372	12	r3,m	r3,m	PROPN
ejpam-4693	372	13	(	(	PUNCT
ejpam-4693	372	14	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	372	15	)	)	PUNCT
ejpam-4693	372	16	]	]	PUNCT
ejpam-4693	372	17	,	,	PUNCT
ejpam-4693	372	18	u2,m	u2,m	PROPN
ejpam-4693	372	19	(	(	PUNCT
ejpam-4693	372	20	x	x	X
ejpam-4693	372	21	)	)	PUNCT
ejpam-4693	372	22	=	=	SYM
ejpam-4693	372	23	χmu2,m−1	χmu2,m−1	PROPN
ejpam-4693	372	24	(	(	PUNCT
ejpam-4693	372	25	x	x	X
ejpam-4693	372	26	)	)	PUNCT
ejpam-4693	373	1	+	+	NUM
ejpam-4693	373	2	h	h	NOUN
ejpam-4693	374	1	[	[	X
ejpam-4693	374	2	r1,m	r1,m	X
ejpam-4693	374	3	(	(	PUNCT
ejpam-4693	374	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	374	5	)	)	PUNCT
ejpam-4693	374	6	,	,	PUNCT
ejpam-4693	374	7	r2,m	r2,m	PROPN
ejpam-4693	374	8	(	(	PUNCT
ejpam-4693	374	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	374	10	)	)	PUNCT
ejpam-4693	374	11	,	,	PUNCT
ejpam-4693	374	12	r3,m	r3,m	PROPN
ejpam-4693	374	13	(	(	PUNCT
ejpam-4693	374	14	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	374	15	)	)	PUNCT
ejpam-4693	374	16	]	]	PUNCT
ejpam-4693	374	17	,	,	PUNCT
ejpam-4693	374	18	u3,m	u3,m	PROPN
ejpam-4693	374	19	(	(	PUNCT
ejpam-4693	374	20	x	x	NOUN
ejpam-4693	374	21	)	)	PUNCT
ejpam-4693	374	22	=	=	SYM
ejpam-4693	375	1	χmu3,m−1	χmu3,m−1	PROPN
ejpam-4693	375	2	(	(	PUNCT
ejpam-4693	375	3	x	x	X
ejpam-4693	375	4	)	)	PUNCT
ejpam-4693	376	1	+	+	NUM
ejpam-4693	376	2	h	h	NOUN
ejpam-4693	377	1	[	[	X
ejpam-4693	377	2	r1,m	r1,m	X
ejpam-4693	377	3	(	(	PUNCT
ejpam-4693	377	4	u⃗1,m−1	u⃗1,m−1	PROPN
ejpam-4693	377	5	)	)	PUNCT
ejpam-4693	377	6	,	,	PUNCT
ejpam-4693	377	7	r2,m	r2,m	PROPN
ejpam-4693	377	8	(	(	PUNCT
ejpam-4693	377	9	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	377	10	)	)	PUNCT
ejpam-4693	377	11	,	,	PUNCT
ejpam-4693	377	12	r3,m	r3,m	PROPN
ejpam-4693	377	13	(	(	PUNCT
ejpam-4693	377	14	u⃗2,m−1	u⃗2,m−1	PROPN
ejpam-4693	377	15	)	)	PUNCT
ejpam-4693	377	16	]	]	PUNCT
ejpam-4693	377	17	,	,	PUNCT
ejpam-4693	377	18	(	(	PUNCT
ejpam-4693	377	19	48	48	NUM
ejpam-4693	377	20	)	)	PUNCT
ejpam-4693	377	21	we	we	PRON
ejpam-4693	377	22	now	now	ADV
ejpam-4693	377	23	successively	successively	ADV
ejpam-4693	377	24	obtain	obtain	VERB
ejpam-4693	377	25	u1,1	u1,1	ADJ
ejpam-4693	377	26	(	(	PUNCT
ejpam-4693	377	27	x	x	X
ejpam-4693	377	28	)	)	PUNCT
ejpam-4693	377	29	=	=	SYM
ejpam-4693	377	30	h	h	NOUN
ejpam-4693	377	31	(	(	PUNCT
ejpam-4693	377	32	−2ln	−2ln	X
ejpam-4693	377	33	(	(	PUNCT
ejpam-4693	377	34	x)x2	x)x2	PROPN
ejpam-4693	377	35	+	+	CCONJ
ejpam-4693	377	36	x2	x2	PROPN
ejpam-4693	377	37	−	−	PROPN
ejpam-4693	377	38	4	4	NUM
ejpam-4693	377	39	27	27	NUM
ejpam-4693	377	40	ln2	ln2	ADJ
ejpam-4693	377	41	(	(	PUNCT
ejpam-4693	377	42	x)x9	x)x9	PROPN
ejpam-4693	377	43	+	+	CCONJ
ejpam-4693	377	44	32	32	NUM
ejpam-4693	377	45	243	243	NUM
ejpam-4693	377	46	ln(x)x9	ln(x)x9	PROPN
ejpam-4693	377	47	−	−	PROPN
ejpam-4693	377	48	59	59	NUM
ejpam-4693	377	49	2187	2187	NUM
ejpam-4693	377	50	x9	x9	NOUN
ejpam-4693	377	51	+	+	CCONJ
ejpam-4693	377	52	2	2	NUM
ejpam-4693	377	53	ln	ln	NOUN
ejpam-4693	377	54	(	(	PUNCT
ejpam-4693	377	55	x)x4	x)x4	PROPN
ejpam-4693	377	56	−	−	PROPN
ejpam-4693	377	57	3	3	NUM
ejpam-4693	377	58	2	2	NUM
ejpam-4693	377	59	x4	x4	PROPN
ejpam-4693	377	60	)	)	PUNCT
ejpam-4693	377	61	.	.	PUNCT
ejpam-4693	378	1	u2,1	u2,1	PROPN
ejpam-4693	378	2	(	(	PUNCT
ejpam-4693	378	3	x	x	X
ejpam-4693	378	4	)	)	PUNCT
ejpam-4693	378	5	=	=	SYM
ejpam-4693	378	6	h	h	NOUN
ejpam-4693	378	7	(	(	PUNCT
ejpam-4693	378	8	−1	−1	NOUN
ejpam-4693	378	9	6	6	NUM
ejpam-4693	378	10	ln(x)x6	ln(x)x6	NOUN
ejpam-4693	378	11	+	+	CCONJ
ejpam-4693	378	12	1	1	NUM
ejpam-4693	378	13	36	36	NUM
ejpam-4693	378	14	x6	x6	NOUN
ejpam-4693	378	15	+	+	CCONJ
ejpam-4693	378	16	1	1	NUM
ejpam-4693	378	17	1575	1575	NUM
ejpam-4693	378	18	ln(x)x14	ln(x)x14	ADJ
ejpam-4693	378	19	−	−	ADP
ejpam-4693	378	20	4	4	NUM
ejpam-4693	378	21	11025	11025	NUM
ejpam-4693	378	22	x14	x14	PROPN
ejpam-4693	378	23	−	−	PROPN
ejpam-4693	378	24	1	1	NUM
ejpam-4693	378	25	2700	2700	NUM
ejpam-4693	378	26	ln(x)x12	ln(x)x12	NOUN
ejpam-4693	378	27	+	+	CCONJ
ejpam-4693	378	28	1	1	NUM
ejpam-4693	378	29	32400	32400	NUM
ejpam-4693	378	30	x12	x12	NUM
ejpam-4693	378	31	+	+	CCONJ
ejpam-4693	378	32	4	4	NUM
ejpam-4693	378	33	165	165	NUM
ejpam-4693	378	34	ln(x)x11	ln(x)x11	NOUN
ejpam-4693	378	35	−	−	NOUN
ejpam-4693	378	36	26	26	NUM
ejpam-4693	378	37	1815	1815	NUM
ejpam-4693	378	38	x11	x11	NOUN
ejpam-4693	378	39	−	−	PROPN
ejpam-4693	378	40	2	2	NUM
ejpam-4693	378	41	135	135	NUM
ejpam-4693	378	42	ln(x)x9	ln(x)x9	NOUN
ejpam-4693	378	43	+	+	CCONJ
ejpam-4693	378	44	2	2	NUM
ejpam-4693	378	45	1215	1215	NUM
ejpam-4693	378	46	x9	x9	NOUN
ejpam-4693	378	47	+	+	CCONJ
ejpam-4693	378	48	1	1	NUM
ejpam-4693	378	49	4	4	NUM
ejpam-4693	378	50	ln(x)x8	ln(x)x8	NOUN
ejpam-4693	378	51	−	−	NUM
ejpam-4693	378	52	5	5	NUM
ejpam-4693	378	53	32	32	NUM
ejpam-4693	378	54	x8	x8	PROPN
ejpam-4693	378	55	)	)	PUNCT
ejpam-4693	378	56	,	,	PUNCT
ejpam-4693	378	57	u3,1	u3,1	ADV
ejpam-4693	378	58	(	(	PUNCT
ejpam-4693	378	59	x	x	X
ejpam-4693	378	60	)	)	PUNCT
ejpam-4693	378	61	=	=	SYM
ejpam-4693	378	62	h	h	NOUN
ejpam-4693	378	63	(	(	PUNCT
ejpam-4693	378	64	1	1	NUM
ejpam-4693	378	65	15	15	NUM
ejpam-4693	378	66	x5	x5	NOUN
ejpam-4693	378	67	−	−	PROPN
ejpam-4693	378	68	1	1	NUM
ejpam-4693	378	69	3510	3510	NUM
ejpam-4693	378	70	ln	ln	X
ejpam-4693	378	71	(	(	PUNCT
ejpam-4693	378	72	x)x13	x)x13	PROPN
ejpam-4693	378	73	+	+	CCONJ
ejpam-4693	378	74	19	19	NUM
ejpam-4693	378	75	273780	273780	NUM
ejpam-4693	378	76	x13	x13	NOUN
ejpam-4693	378	77	−	−	PROPN
ejpam-4693	378	78	1	1	NUM
ejpam-4693	378	79	180	180	NUM
ejpam-4693	378	80	ln	ln	NOUN
ejpam-4693	378	81	(	(	PUNCT
ejpam-4693	378	82	x)x10	x)x10	PROPN
ejpam-4693	378	83	+	+	CCONJ
ejpam-4693	378	84	1	1	NUM
ejpam-4693	378	85	675	675	NUM
ejpam-4693	378	86	x10	x10	NOUN
ejpam-4693	378	87	+	+	CCONJ
ejpam-4693	378	88	1	1	NUM
ejpam-4693	378	89	360	360	NUM
ejpam-4693	378	90	x8	x8	NOUN
ejpam-4693	378	91	)	)	PUNCT
ejpam-4693	378	92	,	,	PUNCT
ejpam-4693	378	93	...	...	PUNCT
ejpam-4693	379	1	thus	thus	ADV
ejpam-4693	379	2	,	,	PUNCT
ejpam-4693	379	3	the	the	DET
ejpam-4693	379	4	approximate	approximate	ADJ
ejpam-4693	379	5	solution	solution	NOUN
ejpam-4693	379	6	in	in	ADP
ejpam-4693	379	7	a	a	DET
ejpam-4693	379	8	series	series	NOUN
ejpam-4693	379	9	form	form	NOUN
ejpam-4693	379	10	is	be	AUX
ejpam-4693	379	11	given	give	VERB
ejpam-4693	379	12	by	by	ADP
ejpam-4693	379	13	u1	u1	NOUN
ejpam-4693	379	14	(	(	PUNCT
ejpam-4693	379	15	x	x	NOUN
ejpam-4693	379	16	)	)	PUNCT
ejpam-4693	379	17	=	=	SYM
ejpam-4693	379	18	u1,0	u1,0	PROPN
ejpam-4693	379	19	(	(	PUNCT
ejpam-4693	379	20	x	x	NOUN
ejpam-4693	379	21	)	)	PUNCT
ejpam-4693	380	1	+	+	NUM
ejpam-4693	380	2	6∑	6∑	NUM
ejpam-4693	380	3	i=1	i=1	PRON
ejpam-4693	380	4	u1,i(x	u1,i(x	ADJ
ejpam-4693	380	5	)	)	PUNCT
ejpam-4693	380	6	,	,	PUNCT
ejpam-4693	380	7	u2	u2	PROPN
ejpam-4693	380	8	(	(	PUNCT
ejpam-4693	380	9	x	x	NOUN
ejpam-4693	380	10	)	)	PUNCT
ejpam-4693	380	11	=	=	SYM
ejpam-4693	380	12	u2,0	u2,0	PROPN
ejpam-4693	380	13	(	(	PUNCT
ejpam-4693	380	14	x	x	NOUN
ejpam-4693	380	15	)	)	PUNCT
ejpam-4693	381	1	+	+	NUM
ejpam-4693	381	2	6∑	6∑	NUM
ejpam-4693	381	3	i=1	i=1	X
ejpam-4693	381	4	u2,i(x	u2,i(x	ADJ
ejpam-4693	381	5	)	)	PUNCT
ejpam-4693	381	6	,	,	PUNCT
ejpam-4693	381	7	rasha	rasha	PROPN
ejpam-4693	381	8	f.	f.	PROPN
ejpam-4693	381	9	ahmed	ahmed	PROPN
ejpam-4693	381	10	,	,	PUNCT
ejpam-4693	381	11	w.	w.	PROPN
ejpam-4693	381	12	al	al	PROPN
ejpam-4693	381	13	-	-	PUNCT
ejpam-4693	381	14	hayani	hayani	PROPN
ejpam-4693	381	15	,	,	PUNCT
ejpam-4693	381	16	a.	a.	PROPN
ejpam-4693	381	17	y.	y.	PROPN
ejpam-4693	381	18	al	al	PROPN
ejpam-4693	381	19	-	-	PUNCT
ejpam-4693	381	20	bayati	bayati	PROPN
ejpam-4693	381	21	/	/	SYM
ejpam-4693	381	22	eur	eur	PROPN
ejpam-4693	381	23	.	.	PUNCT
ejpam-4693	382	1	j.	j.	PROPN
ejpam-4693	382	2	pure	pure	PROPN
ejpam-4693	382	3	appl	appl	PROPN
ejpam-4693	382	4	.	.	PROPN
ejpam-4693	382	5	math	math	PROPN
ejpam-4693	382	6	,	,	PUNCT
ejpam-4693	382	7	16	16	NUM
ejpam-4693	382	8	(	(	PUNCT
ejpam-4693	382	9	2	2	NUM
ejpam-4693	382	10	)	)	PUNCT
ejpam-4693	382	11	(	(	PUNCT
ejpam-4693	382	12	2023	2023	NUM
ejpam-4693	382	13	)	)	PUNCT
ejpam-4693	382	14	,	,	PUNCT
ejpam-4693	382	15	864	864	NUM
ejpam-4693	382	16	-	-	SYM
ejpam-4693	382	17	892	892	NUM
ejpam-4693	382	18	885	885	NUM
ejpam-4693	382	19	u3	u3	NOUN
ejpam-4693	382	20	(	(	PUNCT
ejpam-4693	382	21	x	x	NOUN
ejpam-4693	382	22	)	)	PUNCT
ejpam-4693	382	23	=	=	SYM
ejpam-4693	383	1	u3,0	u3,0	PROPN
ejpam-4693	383	2	(	(	PUNCT
ejpam-4693	383	3	x	x	X
ejpam-4693	383	4	)	)	PUNCT
ejpam-4693	384	1	+	+	NUM
ejpam-4693	384	2	6∑	6∑	NUM
ejpam-4693	384	3	i=1	i=1	X
ejpam-4693	384	4	u3,i(x	u3,i(x	NOUN
ejpam-4693	384	5	)	)	PUNCT
ejpam-4693	384	6	.	.	PUNCT
ejpam-4693	385	1	this	this	DET
ejpam-4693	385	2	series	series	NOUN
ejpam-4693	385	3	has	have	VERB
ejpam-4693	385	4	the	the	DET
ejpam-4693	385	5	closed	closed	ADJ
ejpam-4693	385	6	form	form	NOUN
ejpam-4693	385	7	m	m	PROPN
ejpam-4693	385	8	→	→	SYM
ejpam-4693	385	9	∞	∞	NUM
ejpam-4693	385	10	u1	u1	NOUN
ejpam-4693	385	11	(	(	PUNCT
ejpam-4693	385	12	x	x	NOUN
ejpam-4693	385	13	)	)	PUNCT
ejpam-4693	385	14	=	=	SYM
ejpam-4693	385	15	ln(x	ln(x	X
ejpam-4693	385	16	)	)	PUNCT
ejpam-4693	385	17	,	,	PUNCT
ejpam-4693	385	18	u2	u2	NOUN
ejpam-4693	385	19	(	(	PUNCT
ejpam-4693	385	20	x	x	NOUN
ejpam-4693	385	21	)	)	PUNCT
ejpam-4693	385	22	=	=	SYM
ejpam-4693	385	23	x	x	NOUN
ejpam-4693	385	24	,	,	PUNCT
ejpam-4693	385	25	u3	u3	NOUN
ejpam-4693	385	26	(	(	PUNCT
ejpam-4693	385	27	x	x	NOUN
ejpam-4693	385	28	)	)	PUNCT
ejpam-4693	385	29	=	=	SYM
ejpam-4693	385	30	x2	x2	PROPN
ejpam-4693	385	31	.	.	PUNCT
ejpam-4693	386	1	which	which	PRON
ejpam-4693	386	2	are	be	AUX
ejpam-4693	386	3	the	the	DET
ejpam-4693	386	4	exact	exact	ADJ
ejpam-4693	386	5	solutions	solution	NOUN
ejpam-4693	386	6	of	of	ADP
ejpam-4693	386	7	the	the	DET
ejpam-4693	386	8	problem	problem	NOUN
ejpam-4693	386	9	3	3	NUM
ejpam-4693	386	10	.	.	PUNCT
ejpam-4693	386	11	table	table	NOUN
ejpam-4693	386	12	11	11	NUM
ejpam-4693	386	13	shows	show	VERB
ejpam-4693	386	14	a	a	DET
ejpam-4693	386	15	comparison	comparison	NOUN
ejpam-4693	386	16	of	of	ADP
ejpam-4693	386	17	the	the	DET
ejpam-4693	386	18	numerical	numerical	ADJ
ejpam-4693	386	19	results	result	NOUN
ejpam-4693	386	20	with	with	ADP
ejpam-4693	386	21	the	the	DET
ejpam-4693	386	22	errors	error	NOUN
ejpam-4693	386	23	applying	apply	VERB
ejpam-4693	386	24	the	the	DET
ejpam-4693	386	25	standard	standard	ADJ
ejpam-4693	386	26	ham	ham	NOUN
ejpam-4693	386	27	(	(	PUNCT
ejpam-4693	386	28	m=6	m=6	PROPN
ejpam-4693	386	29	)	)	PUNCT
ejpam-4693	386	30	and	and	CCONJ
ejpam-4693	386	31	the	the	DET
ejpam-4693	386	32	numerical	numerical	ADJ
ejpam-4693	386	33	results	result	NOUN
ejpam-4693	386	34	applying	apply	VERB
ejpam-4693	386	35	the	the	DET
ejpam-4693	386	36	ham	ham	NOUN
ejpam-4693	386	37	developed	develop	VERB
ejpam-4693	386	38	by	by	ADP
ejpam-4693	386	39	genetic	genetic	ADJ
ejpam-4693	386	40	algorithm	algorithm	NOUN
ejpam-4693	386	41	(	(	PUNCT
ejpam-4693	386	42	ham	ham	PROPN
ejpam-4693	386	43	-	-	PUNCT
ejpam-4693	386	44	ga	ga	NOUN
ejpam-4693	386	45	)	)	PUNCT
ejpam-4693	386	46	with	with	ADP
ejpam-4693	386	47	the	the	DET
ejpam-4693	386	48	exact	exact	ADJ
ejpam-4693	386	49	solutions	solution	NOUN
ejpam-4693	386	50	42	42	NUM
ejpam-4693	386	51	within	within	ADP
ejpam-4693	386	52	the	the	DET
ejpam-4693	386	53	interval	interval	NOUN
ejpam-4693	386	54	0	0	NUM
ejpam-4693	386	55	≤	≤	NUM
ejpam-4693	386	56	x	x	SYM
ejpam-4693	386	57	≤	≤	NUM
ejpam-4693	386	58	0.6	0.6	NUM
ejpam-4693	386	59	.	.	PUNCT
ejpam-4693	387	1	table	table	NOUN
ejpam-4693	387	2	12	12	NUM
ejpam-4693	387	3	the	the	DET
ejpam-4693	387	4	mae	mae	PROPN
ejpam-4693	387	5	is	be	AUX
ejpam-4693	387	6	tabulated	tabulate	VERB
ejpam-4693	387	7	for	for	ADP
ejpam-4693	387	8	different	different	ADJ
ejpam-4693	387	9	frequencies	frequency	NOUN
ejpam-4693	387	10	as	as	ADV
ejpam-4693	387	11	well	well	ADV
ejpam-4693	387	12	as	as	ADP
ejpam-4693	387	13	the	the	DET
ejpam-4693	387	14	mre	mre	PROPN
ejpam-4693	387	15	.	.	PROPN
ejpam-4693	387	16	table	table	NOUN
ejpam-4693	388	1	13	13	NUM
ejpam-4693	388	2	gives	give	VERB
ejpam-4693	388	3	the	the	DET
ejpam-4693	388	4	errors	error	NOUN
ejpam-4693	388	5	on	on	ADP
ejpam-4693	388	6	the	the	DET
ejpam-4693	388	7	interval	interval	NOUN
ejpam-4693	388	8	h	h	NOUN
ejpam-4693	388	9	-	-	PUNCT
ejpam-4693	388	10	curves	curve	NOUN
ejpam-4693	388	11	[	[	X
ejpam-4693	388	12	−1.2,−0.8	−1.2,−0.8	X
ejpam-4693	388	13	]	]	X
ejpam-4693	388	14	.	.	PUNCT
ejpam-4693	388	15	table	table	NOUN
ejpam-4693	388	16	11	11	NUM
ejpam-4693	388	17	:	:	PUNCT
ejpam-4693	388	18	numerical	numerical	ADJ
ejpam-4693	388	19	results	result	NOUN
ejpam-4693	388	20	for	for	ADP
ejpam-4693	388	21	(	(	PUNCT
ejpam-4693	388	22	problem	problem	NOUN
ejpam-4693	388	23	3	3	NUM
ejpam-4693	388	24	)	)	PUNCT
ejpam-4693	388	25	x	x	X
ejpam-4693	389	1	i	i	PRON
ejpam-4693	389	2	uexacti	uexacti	VERB
ejpam-4693	389	3	(	(	PUNCT
ejpam-4693	389	4	x	x	NOUN
ejpam-4693	389	5	)	)	PUNCT
ejpam-4693	389	6	ham	ham	NOUN
ejpam-4693	389	7	h	h	NOUN
ejpam-4693	390	1	=	=	SYM
ejpam-4693	390	2	−1	−1	PROPN
ejpam-4693	390	3	ae	ae	PROPN
ejpam-4693	390	4	ham	ham	PROPN
ejpam-4693	390	5	-	-	PUNCT
ejpam-4693	390	6	ga	ga	PROPN
ejpam-4693	390	7	h=-1.01064	h=-1.01064	PROPN
ejpam-4693	390	8	ae	ae	PROPN
ejpam-4693	390	9	0.1	0.1	NUM
ejpam-4693	390	10	1	1	NUM
ejpam-4693	390	11	-2.30258509	-2.30258509	NOUN
ejpam-4693	390	12	-2.302585092	-2.302585092	X
ejpam-4693	390	13	3.094e-13	3.094e-13	NUM
ejpam-4693	390	14	-2.302585092	-2.302585092	NOUN
ejpam-4693	390	15	3.734e-13	3.734e-13	NUM
ejpam-4693	390	16	2	2	NUM
ejpam-4693	390	17	0.10000000	0.10000000	NUM
ejpam-4693	390	18	0.1000000000	0.1000000000	NUM
ejpam-4693	390	19	5.644e-18	5.644e-18	NUM
ejpam-4693	390	20	0.099999999	0.099999999	NUM
ejpam-4693	390	21	1.234e-17	1.234e-17	NUM
ejpam-4693	390	22	3	3	NUM
ejpam-4693	390	23	0.01000000	0.01000000	NUM
ejpam-4693	390	24	0.0099999999	0.0099999999	NUM
ejpam-4693	390	25	2.932e-21	2.932e-21	NUM
ejpam-4693	390	26	0.009999999	0.009999999	NUM
ejpam-4693	390	27	9.274e-17	9.274e-17	NUM
ejpam-4693	390	28	0.3	0.3	NUM
ejpam-4693	390	29	1	1	NUM
ejpam-4693	390	30	-1.20397280	-1.20397280	NOUN
ejpam-4693	390	31	-1.203972712	-1.203972712	NOUN
ejpam-4693	390	32	9.189e-08	9.189e-08	NUM
ejpam-4693	390	33	-1.203972808	-1.203972808	NOUN
ejpam-4693	391	1	4.117e-09	4.117e-09	NUM
ejpam-4693	391	2	2	2	NUM
ejpam-4693	391	3	0.30000000	0.30000000	NUM
ejpam-4693	391	4	0.300000000	0.300000000	NUM
ejpam-4693	391	5	1.477e-10	1.477e-10	NUM
ejpam-4693	391	6	0.300000000	0.300000000	NUM
ejpam-4693	391	7	5.030e-12	5.030e-12	NUM
ejpam-4693	391	8	3	3	NUM
ejpam-4693	391	9	0.09000000	0.09000000	NUM
ejpam-4693	391	10	0.089999999	0.089999999	NUM
ejpam-4693	391	11	7.052e-13	7.052e-13	NUM
ejpam-4693	391	12	0.089999999	0.089999999	NUM
ejpam-4693	391	13	9.033e-14	9.033e-14	NUM
ejpam-4693	391	14	0.5	0.5	NUM
ejpam-4693	391	15	1	1	NUM
ejpam-4693	391	16	-0.69314718	-0.69314718	NOUN
ejpam-4693	391	17	-0.693128726	-0.693128726	NOUN
ejpam-4693	391	18	1.845e-05	1.845e-05	NUM
ejpam-4693	391	19	-0.693144508	-0.693144508	NOUN
ejpam-4693	391	20	2.672e-06	2.672e-06	NUM
ejpam-4693	391	21	2	2	NUM
ejpam-4693	391	22	0.50000000	0.50000000	NUM
ejpam-4693	391	23	0.500000343	0.500000343	NUM
ejpam-4693	391	24	3.436e-07	3.436e-07	NUM
ejpam-4693	391	25	0.500000159	0.500000159	NUM
ejpam-4693	391	26	1.596e-07	1.596e-07	NUM
ejpam-4693	391	27	3	3	NUM
ejpam-4693	391	28	0.25000000	0.25000000	NUM
ejpam-4693	391	29	0.249999995	0.249999995	NUM
ejpam-4693	391	30	4.934e-09	4.934e-09	NUM
ejpam-4693	391	31	0.249999997	0.249999997	NUM
ejpam-4693	391	32	2.706e-09	2.706e-09	NUM
ejpam-4693	391	33	table	table	NOUN
ejpam-4693	391	34	12	12	NUM
ejpam-4693	391	35	:	:	PUNCT
ejpam-4693	391	36	mae	mae	PROPN
ejpam-4693	391	37	and	and	CCONJ
ejpam-4693	391	38	mre	mre	NOUN
ejpam-4693	391	39	of	of	ADP
ejpam-4693	391	40	ham	ham	PROPN
ejpam-4693	391	41	and	and	CCONJ
ejpam-4693	391	42	ham	ham	PROPN
ejpam-4693	391	43	-	-	PUNCT
ejpam-4693	391	44	ga	ga	PROPN
ejpam-4693	391	45	for	for	ADP
ejpam-4693	391	46	(	(	PUNCT
ejpam-4693	391	47	problem	problem	NOUN
ejpam-4693	391	48	3	3	NUM
ejpam-4693	391	49	)	)	PUNCT
ejpam-4693	391	50	hamh	hamh	NOUN
ejpam-4693	391	51	=	=	NOUN
ejpam-4693	391	52	−1	−1	NOUN
ejpam-4693	391	53	ham	ham	PROPN
ejpam-4693	391	54	-	-	PUNCT
ejpam-4693	391	55	ga	ga	NOUN
ejpam-4693	391	56	h	h	NOUN
ejpam-4693	391	57	=	=	SYM
ejpam-4693	392	1	−1.01064	−1.01064	NUM
ejpam-4693	392	2	m	m	VERB
ejpam-4693	393	1	i	i	PRON
ejpam-4693	393	2	mae	mae	PROPN
ejpam-4693	393	3	mre	mre	PROPN
ejpam-4693	393	4	mae	mae	PROPN
ejpam-4693	393	5	mre	mre	PROPN
ejpam-4693	393	6	2	2	NUM
ejpam-4693	393	7	1	1	NUM
ejpam-4693	393	8	3.266e-01	3.266e-01	NUM
ejpam-4693	393	9	1.102e-01	1.102e-01	NUM
ejpam-4693	393	10	3.223e-01	3.223e-01	NUM
ejpam-4693	393	11	1.087e-01	1.087e-01	NUM
ejpam-4693	393	12	2	2	NUM
ejpam-4693	393	13	4.773e-03	4.773e-03	NUM
ejpam-4693	393	14	1.241e-03	1.241e-03	NUM
ejpam-4693	393	15	4.768e-03	4.768e-03	NUM
ejpam-4693	394	1	1.251e-03	1.251e-03	NUM
ejpam-4693	394	2	3	3	NUM
ejpam-4693	394	3	7.305e-05	7.305e-05	NUM
ejpam-4693	394	4	2.150e-05	2.150e-05	NUM
ejpam-4693	394	5	1.289e-04	1.289e-04	NUM
ejpam-4693	394	6	4.453e-05	4.453e-05	NUM
ejpam-4693	394	7	3	3	NUM
ejpam-4693	394	8	1	1	NUM
ejpam-4693	394	9	8.783e-02	8.783e-02	NUM
ejpam-4693	394	10	2.910e-02	2.910e-02	NUM
ejpam-4693	394	11	8.276e-02	8.276e-02	NUM
ejpam-4693	394	12	2.744e-02	2.744e-02	NUM
ejpam-4693	394	13	2	2	NUM
ejpam-4693	394	14	1.582e-03	1.582e-03	NUM
ejpam-4693	394	15	4.708e-04	4.708e-04	NUM
ejpam-4693	394	16	1.514e-03	1.514e-03	NUM
ejpam-4693	394	17	4.544e-04	4.544e-04	NUM
ejpam-4693	394	18	3	3	NUM
ejpam-4693	394	19	1.783e-05	1.783e-05	NUM
ejpam-4693	394	20	4.884e-06	4.884e-06	NUM
ejpam-4693	394	21	1.606e-05	1.606e-05	NUM
ejpam-4693	394	22	4.295e-06	4.295e-06	NUM
ejpam-4693	394	23	4	4	NUM
ejpam-4693	394	24	1	1	NUM
ejpam-4693	394	25	1.626e-02	1.626e-02	NUM
ejpam-4693	394	26	5.420e-03	5.420e-03	NUM
ejpam-4693	394	27	1.404e-02	1.404e-02	NUM
ejpam-4693	394	28	4.690e-03	4.690e-03	NUM
ejpam-4693	394	29	2	2	NUM
ejpam-4693	394	30	3.342e-04	3.342e-04	NUM
ejpam-4693	394	31	1.057e-04	1.057e-04	NUM
ejpam-4693	394	32	2.950e-04	2.950e-04	NUM
ejpam-4693	394	33	9.430e-05	9.430e-05	NUM
ejpam-4693	394	34	3	3	NUM
ejpam-4693	394	35	4.897e-06	4.897e-06	NUM
ejpam-4693	394	36	1.510e-06	1.510e-06	NUM
ejpam-4693	394	37	4.505e-06	4.505e-06	NUM
ejpam-4693	394	38	1.409e-06	1.409e-06	NUM
ejpam-4693	394	39	5	5	NUM
ejpam-4693	394	40	1	1	NUM
ejpam-4693	394	41	2.020e-03	2.020e-03	NUM
ejpam-4693	394	42	6.799e-04	6.799e-04	NUM
ejpam-4693	394	43	1.452e-03	1.452e-03	NUM
ejpam-4693	394	44	4.914e-04	4.914e-04	NUM
ejpam-4693	394	45	2	2	NUM
ejpam-4693	394	46	5.048e-05	5.048e-05	NUM
ejpam-4693	394	47	1.679e-05	1.679e-05	NUM
ejpam-4693	394	48	3.905e-05	3.905e-05	NUM
ejpam-4693	394	49	1.319e-05	1.319e-05	NUM
ejpam-4693	394	50	3	3	NUM
ejpam-4693	394	51	8.725e-07	8.725e-07	NUM
ejpam-4693	394	52	2.839e-07	2.839e-07	NUM
ejpam-4693	394	53	7.070e-07	7.070e-07	NUM
ejpam-4693	394	54	2.332e-07	2.332e-07	NUM
ejpam-4693	394	55	6	6	NUM
ejpam-4693	394	56	1	1	NUM
ejpam-4693	394	57	8.969e-05	8.969e-05	NUM
ejpam-4693	394	58	3.016e-05	3.016e-05	NUM
ejpam-4693	394	59	2.672e-06	2.672e-06	NUM
ejpam-4693	394	60	9.493e-07	9.493e-07	NUM
ejpam-4693	394	61	2	2	NUM
ejpam-4693	394	62	5.256e-06	5.256e-06	NUM
ejpam-4693	394	63	1.880e-06	1.880e-06	NUM
ejpam-4693	394	64	3.111e-06	3.111e-06	NUM
ejpam-4693	394	65	1.169e-06	1.169e-06	NUM
ejpam-4693	394	66	3	3	NUM
ejpam-4693	394	67	1.138e-07	1.138e-07	NUM
ejpam-4693	394	68	3.870e-08	3.870e-08	NUM
ejpam-4693	394	69	7.714e-08	7.714e-08	NOUN
ejpam-4693	394	70	2.675e-08	2.675e-08	NUM
ejpam-4693	394	71	rasha	rasha	PROPN
ejpam-4693	394	72	f.	f.	PROPN
ejpam-4693	394	73	ahmed	ahmed	PROPN
ejpam-4693	394	74	,	,	PUNCT
ejpam-4693	394	75	w.	w.	PROPN
ejpam-4693	394	76	al	al	PROPN
ejpam-4693	394	77	-	-	PUNCT
ejpam-4693	394	78	hayani	hayani	PROPN
ejpam-4693	394	79	,	,	PUNCT
ejpam-4693	394	80	a.	a.	PROPN
ejpam-4693	394	81	y.	y.	PROPN
ejpam-4693	394	82	al	al	PROPN
ejpam-4693	394	83	-	-	PUNCT
ejpam-4693	394	84	bayati	bayati	PROPN
ejpam-4693	394	85	/	/	SYM
ejpam-4693	394	86	eur	eur	PROPN
ejpam-4693	394	87	.	.	PUNCT
ejpam-4693	395	1	j.	j.	PROPN
ejpam-4693	395	2	pure	pure	PROPN
ejpam-4693	395	3	appl	appl	PROPN
ejpam-4693	395	4	.	.	PROPN
ejpam-4693	395	5	math	math	PROPN
ejpam-4693	395	6	,	,	PUNCT
ejpam-4693	395	7	16	16	NUM
ejpam-4693	395	8	(	(	PUNCT
ejpam-4693	395	9	2	2	NUM
ejpam-4693	395	10	)	)	PUNCT
ejpam-4693	395	11	(	(	PUNCT
ejpam-4693	395	12	2023	2023	NUM
ejpam-4693	395	13	)	)	PUNCT
ejpam-4693	395	14	,	,	PUNCT
ejpam-4693	395	15	864	864	NUM
ejpam-4693	395	16	-	-	SYM
ejpam-4693	395	17	892	892	NUM
ejpam-4693	395	18	886	886	NUM
ejpam-4693	395	19	table	table	NOUN
ejpam-4693	395	20	13	13	NUM
ejpam-4693	395	21	:	:	PUNCT
ejpam-4693	395	22	errors	error	NOUN
ejpam-4693	395	23	on	on	ADP
ejpam-4693	395	24	the	the	DET
ejpam-4693	395	25	interval	interval	NOUN
ejpam-4693	395	26	h	h	NOUN
ejpam-4693	395	27	-	-	PUNCT
ejpam-4693	395	28	curves	curve	NOUN
ejpam-4693	395	29	for	for	ADP
ejpam-4693	395	30	(	(	PUNCT
ejpam-4693	395	31	problem	problem	NOUN
ejpam-4693	395	32	3	3	NUM
ejpam-4693	395	33	)	)	PUNCT
ejpam-4693	395	34	x	x	SYM
ejpam-4693	396	1	i	i	PRON
ejpam-4693	396	2	h=-1.2	h=-1.2	PROPN
ejpam-4693	396	3	h=-1.01064	h=-1.01064	PROPN
ejpam-4693	396	4	h=-1	h=-1	ADV
ejpam-4693	396	5	h=-0.8	h=-0.8	PROPN
ejpam-4693	396	6	-0.5	-0.5	X
ejpam-4693	396	7	1	1	NUM
ejpam-4693	396	8	1.758e-04	1.758e-04	NUM
ejpam-4693	396	9	1.337e-04	1.337e-04	NUM
ejpam-4693	396	10	1.806e-04	1.806e-04	NUM
ejpam-4693	396	11	9.697e-03	9.697e-03	NUM
ejpam-4693	396	12	2	2	NUM
ejpam-4693	396	13	2.235e-06	2.235e-06	NUM
ejpam-4693	396	14	8.834e-07	8.834e-07	NUM
ejpam-4693	396	15	1.363e-06	1.363e-06	NUM
ejpam-4693	396	16	8.807e-05	8.807e-05	NUM
ejpam-4693	396	17	3	3	NUM
ejpam-4693	396	18	5.742e-07	5.742e-07	NUM
ejpam-4693	396	19	9.568e-09	9.568e-09	NUM
ejpam-4693	396	20	1.562e-08	1.562e-08	NUM
ejpam-4693	396	21	1.219e-06	1.219e-06	NUM
ejpam-4693	396	22	-0.3	-0.3	NUM
ejpam-4693	396	23	1	1	NUM
ejpam-4693	396	24	4.996e-05	4.996e-05	NUM
ejpam-4693	396	25	4.619e-08	4.619e-08	NOUN
ejpam-4693	396	26	2.375e-07	2.375e-07	NUM
ejpam-4693	396	27	8.175e-04	8.175e-04	NUM
ejpam-4693	396	28	2	2	NUM
ejpam-4693	396	29	6.683e-08	6.683e-08	NUM
ejpam-4693	396	30	4.114e-11	4.114e-11	NUM
ejpam-4693	396	31	3.324e-10	3.324e-10	NUM
ejpam-4693	396	32	8.066e-07	8.066e-07	NUM
ejpam-4693	396	33	3	3	NUM
ejpam-4693	396	34	5.017e-08	5.017e-08	NUM
ejpam-4693	396	35	1.777e-13	1.777e-13	NUM
ejpam-4693	396	36	1.546e-12	1.546e-12	NUM
ejpam-4693	396	37	5.382e-08	5.382e-08	NUM
ejpam-4693	396	38	-0.1	-0.1	PROPN
ejpam-4693	396	39	1	1	NUM
ejpam-4693	396	40	1.921e-05	1.921e-05	NUM
ejpam-4693	396	41	8.053e-13	8.053e-13	NUM
ejpam-4693	396	42	4.255e-13	4.255e-13	NUM
ejpam-4693	396	43	3.286e-05	3.286e-05	NUM
ejpam-4693	396	44	2	2	NUM
ejpam-4693	396	45	1.200e-10	1.200e-10	NUM
ejpam-4693	396	46	1.517e-17	1.517e-17	NUM
ejpam-4693	396	47	8.126e-18	8.126e-18	NUM
ejpam-4693	396	48	2.866e-10	2.866e-10	NUM
ejpam-4693	396	49	3	3	NUM
ejpam-4693	396	50	2.130e-10	2.130e-10	NUM
ejpam-4693	396	51	8.919e-17	8.919e-17	NUM
ejpam-4693	396	52	4.310e-21	4.310e-21	NUM
ejpam-4693	396	53	2.135e-10	2.135e-10	NUM
ejpam-4693	396	54	0.1	0.1	NUM
ejpam-4693	396	55	1	1	NUM
ejpam-4693	396	56	1.255e-05	1.255e-05	NUM
ejpam-4693	396	57	3.734e-13	3.734e-13	NUM
ejpam-4693	396	58	3.094e-13	3.094e-13	NUM
ejpam-4693	396	59	2.206e-05	2.206e-05	NUM
ejpam-4693	396	60	2	2	NUM
ejpam-4693	396	61	6.870e-11	6.870e-11	NUM
ejpam-4693	396	62	1.234e-17	1.234e-17	NUM
ejpam-4693	396	63	5.644e-18	5.644e-18	NUM
ejpam-4693	396	64	1.815e-10	1.815e-10	NUM
ejpam-4693	396	65	3	3	NUM
ejpam-4693	396	66	2.136e-10	2.136e-10	NUM
ejpam-4693	396	67	9.274e-17	9.274e-17	NUM
ejpam-4693	396	68	2.932e-21	2.932e-21	NUM
ejpam-4693	396	69	2.131e-10	2.131e-10	NUM
ejpam-4693	396	70	0.3	0.3	NUM
ejpam-4693	396	71	1	1	NUM
ejpam-4693	396	72	2.885e-05	2.885e-05	NUM
ejpam-4693	396	73	4.117e-09	4.117e-09	NUM
ejpam-4693	396	74	9.189e-08	9.189e-08	NUM
ejpam-4693	396	75	4.264e-04	4.264e-04	NUM
ejpam-4693	396	76	2	2	NUM
ejpam-4693	396	77	3.622e-08	3.622e-08	NUM
ejpam-4693	396	78	5.030e-12	5.030e-12	NUM
ejpam-4693	396	79	1.477e-10	1.477e-10	NUM
ejpam-4693	396	80	3.910e-07	3.910e-07	NUM
ejpam-4693	396	81	3	3	NUM
ejpam-4693	396	82	5.355e-08	5.355e-08	NUM
ejpam-4693	396	83	9.033e-14	9.033e-14	NUM
ejpam-4693	396	84	7.052e-13	7.052e-13	NUM
ejpam-4693	396	85	4.991e-08	4.991e-08	NUM
ejpam-4693	396	86	0.5	0.5	NUM
ejpam-4693	396	87	1	1	NUM
ejpam-4693	396	88	8.557e-05	8.557e-05	NUM
ejpam-4693	396	89	2.672e-06	2.672e-06	NUM
ejpam-4693	396	90	1.845e-05	1.845e-05	NUM
ejpam-4693	396	91	4.074e-03	4.074e-03	NUM
ejpam-4693	396	92	2	2	NUM
ejpam-4693	396	93	1.003e-06	1.003e-06	NUM
ejpam-4693	396	94	1.596e-07	1.596e-07	NUM
ejpam-4693	396	95	3.436e-07	3.436e-07	NUM
ejpam-4693	396	96	3.433e-05	3.433e-05	NUM
ejpam-4693	396	97	3	3	NUM
ejpam-4693	396	98	7.582e-07	7.582e-07	NUM
ejpam-4693	396	99	2.706e-09	2.706e-09	NUM
ejpam-4693	396	100	4.934e-09	4.934e-09	NUM
ejpam-4693	396	101	3.348e-07	3.348e-07	NUM
ejpam-4693	396	102	in	in	ADP
ejpam-4693	396	103	figures	figure	NOUN
ejpam-4693	396	104	14	14	NUM
ejpam-4693	396	105	-	-	SYM
ejpam-4693	396	106	16	16	NUM
ejpam-4693	396	107	an	an	DET
ejpam-4693	396	108	illustration	illustration	NOUN
ejpam-4693	396	109	of	of	ADP
ejpam-4693	396	110	how	how	SCONJ
ejpam-4693	396	111	well	well	ADV
ejpam-4693	396	112	the	the	DET
ejpam-4693	396	113	exact	exact	ADJ
ejpam-4693	396	114	solution	solution	NOUN
ejpam-4693	396	115	matches	match	NOUN
ejpam-4693	396	116	with	with	ADP
ejpam-4693	396	117	the	the	DET
ejpam-4693	396	118	approximate	approximate	ADJ
ejpam-4693	396	119	solution	solution	NOUN
ejpam-4693	396	120	using	use	VERB
ejpam-4693	396	121	the	the	DET
ejpam-4693	396	122	genetic	genetic	ADJ
ejpam-4693	396	123	algorithm	algorithm	NOUN
ejpam-4693	396	124	h=-1.01064	h=-1.01064	PROPN
ejpam-4693	396	125	.	.	PUNCT
ejpam-4693	397	1	in	in	ADP
ejpam-4693	397	2	figures	figure	NOUN
ejpam-4693	397	3	17	17	NUM
ejpam-4693	397	4	-	-	SYM
ejpam-4693	397	5	19	19	NUM
ejpam-4693	397	6	present	present	VERB
ejpam-4693	397	7	the	the	DET
ejpam-4693	397	8	h	h	NOUN
ejpam-4693	397	9	-	-	PUNCT
ejpam-4693	397	10	curves	curve	NOUN
ejpam-4693	397	11	for	for	ADP
ejpam-4693	397	12	(	(	PUNCT
ejpam-4693	397	13	problem	problem	NOUN
ejpam-4693	397	14	3	3	NUM
ejpam-4693	397	15	)	)	PUNCT
ejpam-4693	397	16	.	.	PUNCT
ejpam-4693	398	1	we	we	PRON
ejpam-4693	398	2	present	present	VERB
ejpam-4693	398	3	the	the	DET
ejpam-4693	398	4	error	error	NOUN
ejpam-4693	398	5	residual	residual	ADJ
ejpam-4693	398	6	er	er	INTJ
ejpam-4693	398	7	(	(	PUNCT
ejpam-4693	398	8	ui	ui	PROPN
ejpam-4693	398	9	(	(	PUNCT
ejpam-4693	398	10	x	x	NOUN
ejpam-4693	398	11	)	)	PUNCT
ejpam-4693	398	12	)	)	PUNCT
ejpam-4693	398	13	,	,	PUNCT
ejpam-4693	398	14	i	i	PRON
ejpam-4693	398	15	=	=	NOUN
ejpam-4693	398	16	1	1	NUM
ejpam-4693	398	17	,	,	PUNCT
ejpam-4693	398	18	2	2	NUM
ejpam-4693	398	19	,	,	PUNCT
ejpam-4693	398	20	3	3	NUM
ejpam-4693	398	21	of	of	ADP
ejpam-4693	398	22	hamga	hamga	NOUN
ejpam-4693	398	23	when	when	SCONJ
ejpam-4693	398	24	h	h	NOUN
ejpam-4693	398	25	=	=	SYM
ejpam-4693	398	26	−1.01064	−1.01064	NUM
ejpam-4693	398	27	in	in	ADP
ejpam-4693	398	28	figures	figure	NOUN
ejpam-4693	398	29	20	20	NUM
ejpam-4693	398	30	-	-	SYM
ejpam-4693	398	31	22	22	NUM
ejpam-4693	398	32	.	.	PUNCT
ejpam-4693	399	1	the	the	DET
ejpam-4693	399	2	cpu	cpu	NOUN
ejpam-4693	399	3	time	time	NOUN
ejpam-4693	399	4	=	=	SYM
ejpam-4693	399	5	10.890	10.890	NUM
ejpam-4693	399	6	seconds	second	NOUN
ejpam-4693	399	7	.	.	PUNCT
ejpam-4693	400	1	figure	figure	NOUN
ejpam-4693	400	2	14	14	NUM
ejpam-4693	400	3	:	:	PUNCT
ejpam-4693	400	4	line	line	NOUN
ejpam-4693	400	5	:	:	PUNCT
ejpam-4693	400	6	uexact1	uexact1	X
ejpam-4693	400	7	(	(	PUNCT
ejpam-4693	400	8	x	x	X
ejpam-4693	400	9	)	)	PUNCT
ejpam-4693	400	10	,	,	PUNCT
ejpam-4693	400	11	o	o	NOUN
ejpam-4693	400	12	:	:	PUNCT
ejpam-4693	400	13	ham	ham	NOUN
ejpam-4693	400	14	−ga1(x	−ga1(x	NOUN
ejpam-4693	400	15	)	)	PUNCT
ejpam-4693	400	16	figure	figure	NOUN
ejpam-4693	400	17	15	15	NUM
ejpam-4693	400	18	:	:	PUNCT
ejpam-4693	400	19	line	line	NOUN
ejpam-4693	400	20	:	:	PUNCT
ejpam-4693	400	21	uexact2	uexact2	NOUN
ejpam-4693	400	22	(	(	PUNCT
ejpam-4693	400	23	x	x	X
ejpam-4693	400	24	)	)	PUNCT
ejpam-4693	400	25	,	,	PUNCT
ejpam-4693	401	1	o	o	NOUN
ejpam-4693	401	2	:	:	PUNCT
ejpam-4693	401	3	ham	ham	NOUN
ejpam-4693	401	4	−ga2(x	−ga2(x	NOUN
ejpam-4693	401	5	)	)	PUNCT
ejpam-4693	401	6	rasha	rasha	PROPN
ejpam-4693	401	7	f.	f.	PROPN
ejpam-4693	401	8	ahmed	ahmed	PROPN
ejpam-4693	401	9	,	,	PUNCT
ejpam-4693	401	10	w.	w.	PROPN
ejpam-4693	401	11	al	al	PROPN
ejpam-4693	401	12	-	-	PUNCT
ejpam-4693	401	13	hayani	hayani	PROPN
ejpam-4693	401	14	,	,	PUNCT
ejpam-4693	401	15	a.	a.	PROPN
ejpam-4693	401	16	y.	y.	PROPN
ejpam-4693	401	17	al	al	PROPN
ejpam-4693	401	18	-	-	PUNCT
ejpam-4693	401	19	bayati	bayati	PROPN
ejpam-4693	401	20	/	/	SYM
ejpam-4693	401	21	eur	eur	PROPN
ejpam-4693	401	22	.	.	PUNCT
ejpam-4693	402	1	j.	j.	PROPN
ejpam-4693	402	2	pure	pure	PROPN
ejpam-4693	402	3	appl	appl	PROPN
ejpam-4693	402	4	.	.	PROPN
ejpam-4693	402	5	math	math	PROPN
ejpam-4693	402	6	,	,	PUNCT
ejpam-4693	402	7	16	16	NUM
ejpam-4693	402	8	(	(	PUNCT
ejpam-4693	402	9	2	2	NUM
ejpam-4693	402	10	)	)	PUNCT
ejpam-4693	402	11	(	(	PUNCT
ejpam-4693	402	12	2023	2023	NUM
ejpam-4693	402	13	)	)	PUNCT
ejpam-4693	402	14	,	,	PUNCT
ejpam-4693	402	15	864	864	NUM
ejpam-4693	402	16	-	-	SYM
ejpam-4693	402	17	892	892	NUM
ejpam-4693	402	18	887	887	NUM
ejpam-4693	402	19	figure	figure	NOUN
ejpam-4693	402	20	16	16	NUM
ejpam-4693	402	21	:	:	PUNCT
ejpam-4693	402	22	line	line	NOUN
ejpam-4693	402	23	:	:	PUNCT
ejpam-4693	402	24	uexact3	uexact3	PROPN
ejpam-4693	402	25	(	(	PUNCT
ejpam-4693	402	26	x	x	X
ejpam-4693	402	27	)	)	PUNCT
ejpam-4693	402	28	,	,	PUNCT
ejpam-4693	402	29	o	o	NOUN
ejpam-4693	402	30	:	:	PUNCT
ejpam-4693	402	31	ham	ham	PROPN
ejpam-4693	402	32	−ga3(x	−ga3(x	NOUN
ejpam-4693	402	33	)	)	PUNCT
ejpam-4693	402	34	figure	figure	NOUN
ejpam-4693	402	35	17	17	NUM
ejpam-4693	402	36	:	:	PUNCT
ejpam-4693	402	37	h	h	NOUN
ejpam-4693	402	38	-	-	PUNCT
ejpam-4693	402	39	curve	curve	NOUN
ejpam-4693	402	40	for	for	ADP
ejpam-4693	402	41	u′	u′	PROPN
ejpam-4693	402	42	1	1	NUM
ejpam-4693	402	43	(	(	PUNCT
ejpam-4693	402	44	0.15	0.15	NUM
ejpam-4693	402	45	,	,	PUNCT
ejpam-4693	402	46	h	h	NOUN
ejpam-4693	402	47	)	)	PUNCT
ejpam-4693	402	48	figure	figure	NOUN
ejpam-4693	402	49	18	18	NUM
ejpam-4693	402	50	:	:	PUNCT
ejpam-4693	402	51	h−	h−	VERB
ejpam-4693	402	52	curveforu′	curveforu′	X
ejpam-4693	402	53	2	2	NUM
ejpam-4693	402	54	(	(	PUNCT
ejpam-4693	402	55	0.15	0.15	NUM
ejpam-4693	402	56	,	,	PUNCT
ejpam-4693	402	57	h	h	NOUN
ejpam-4693	402	58	)	)	PUNCT
ejpam-4693	402	59	figure	figure	NOUN
ejpam-4693	402	60	19	19	NUM
ejpam-4693	402	61	:	:	PUNCT
ejpam-4693	402	62	h−	h−	VERB
ejpam-4693	402	63	curveforu′	curveforu′	X
ejpam-4693	402	64	3	3	NUM
ejpam-4693	402	65	(	(	PUNCT
ejpam-4693	402	66	0.15	0.15	NUM
ejpam-4693	402	67	,	,	PUNCT
ejpam-4693	402	68	h	h	NOUN
ejpam-4693	402	69	)	)	PUNCT
ejpam-4693	402	70	figure	figure	NOUN
ejpam-4693	402	71	20	20	NUM
ejpam-4693	402	72	:	:	PUNCT
ejpam-4693	402	73	er	er	INTJ
ejpam-4693	402	74	(	(	PUNCT
ejpam-4693	402	75	u1	u1	PROPN
ejpam-4693	402	76	(	(	PUNCT
ejpam-4693	402	77	x	x	NOUN
ejpam-4693	402	78	)	)	PUNCT
ejpam-4693	402	79	)	)	PUNCT
ejpam-4693	402	80	of	of	ADP
ejpam-4693	402	81	ham	ham	PROPN
ejpam-4693	402	82	-	-	PUNCT
ejpam-4693	402	83	ga	ga	NOUN
ejpam-4693	402	84	figure	figure	NOUN
ejpam-4693	402	85	21	21	NUM
ejpam-4693	402	86	:	:	PUNCT
ejpam-4693	402	87	er	er	INTJ
ejpam-4693	402	88	(	(	PUNCT
ejpam-4693	402	89	u2	u2	PROPN
ejpam-4693	402	90	(	(	PUNCT
ejpam-4693	402	91	x	x	NOUN
ejpam-4693	402	92	)	)	PUNCT
ejpam-4693	402	93	)	)	PUNCT
ejpam-4693	402	94	of	of	ADP
ejpam-4693	402	95	ham	ham	PROPN
ejpam-4693	402	96	-	-	PUNCT
ejpam-4693	402	97	ga	ga	PROPN
ejpam-4693	402	98	references	reference	NOUN
ejpam-4693	402	99	888	888	NUM
ejpam-4693	402	100	figure	figure	NOUN
ejpam-4693	402	101	22	22	NUM
ejpam-4693	402	102	:	:	PUNCT
ejpam-4693	402	103	er	er	INTJ
ejpam-4693	402	104	(	(	PUNCT
ejpam-4693	402	105	u3	u3	PROPN
ejpam-4693	402	106	(	(	PUNCT
ejpam-4693	402	107	x	x	NOUN
ejpam-4693	402	108	)	)	PUNCT
ejpam-4693	402	109	)	)	PUNCT
ejpam-4693	402	110	of	of	ADP
ejpam-4693	402	111	ham	ham	PROPN
ejpam-4693	402	112	-	-	PUNCT
ejpam-4693	402	113	ga	ga	PROPN
ejpam-4693	402	114	6	6	NUM
ejpam-4693	402	115	.	.	PUNCT
ejpam-4693	403	1	conclusion	conclusion	NOUN
ejpam-4693	403	2	the	the	DET
ejpam-4693	403	3	present	present	ADJ
ejpam-4693	403	4	study	study	NOUN
ejpam-4693	403	5	suggests	suggest	VERB
ejpam-4693	403	6	a	a	DET
ejpam-4693	403	7	new	new	ADJ
ejpam-4693	403	8	algorithm	algorithm	NOUN
ejpam-4693	403	9	(	(	PUNCT
ejpam-4693	403	10	ham	ham	PROPN
ejpam-4693	403	11	-	-	PUNCT
ejpam-4693	403	12	ga	ga	NOUN
ejpam-4693	403	13	)	)	PUNCT
ejpam-4693	403	14	merging	merge	VERB
ejpam-4693	403	15	both	both	CCONJ
ejpam-4693	403	16	the	the	DET
ejpam-4693	403	17	ham	ham	NOUN
ejpam-4693	403	18	and	and	CCONJ
ejpam-4693	403	19	the	the	DET
ejpam-4693	403	20	ga	ga	PROPN
ejpam-4693	403	21	for	for	ADP
ejpam-4693	403	22	solving	solve	VERB
ejpam-4693	403	23	the	the	DET
ejpam-4693	403	24	nonlinear	nonlinear	ADJ
ejpam-4693	403	25	system	system	NOUN
ejpam-4693	403	26	of	of	ADP
ejpam-4693	403	27	volterra	volterra	PROPN
ejpam-4693	403	28	integral	integral	ADJ
ejpam-4693	403	29	equations	equation	NOUN
ejpam-4693	403	30	.	.	PUNCT
ejpam-4693	404	1	based	base	VERB
ejpam-4693	404	2	on	on	ADP
ejpam-4693	404	3	four	four	NUM
ejpam-4693	404	4	consecutive	consecutive	ADJ
ejpam-4693	404	5	cases	case	NOUN
ejpam-4693	404	6	,	,	PUNCT
ejpam-4693	404	7	the	the	DET
ejpam-4693	404	8	algorithm	algorithm	NOUN
ejpam-4693	404	9	determines	determine	VERB
ejpam-4693	404	10	the	the	DET
ejpam-4693	404	11	solution	solution	NOUN
ejpam-4693	404	12	.	.	PUNCT
ejpam-4693	405	1	the	the	DET
ejpam-4693	405	2	algorithm	algorithm	NOUN
ejpam-4693	405	3	deems	deem	VERB
ejpam-4693	405	4	the	the	DET
ejpam-4693	405	5	residual	residual	ADJ
ejpam-4693	405	6	error	error	NOUN
ejpam-4693	405	7	function	function	NOUN
ejpam-4693	405	8	as	as	ADP
ejpam-4693	405	9	a	a	DET
ejpam-4693	405	10	fitness	fitness	NOUN
ejpam-4693	405	11	function	function	NOUN
ejpam-4693	405	12	and	and	CCONJ
ejpam-4693	405	13	based	base	VERB
ejpam-4693	405	14	on	on	ADP
ejpam-4693	405	15	which	which	PRON
ejpam-4693	405	16	the	the	DET
ejpam-4693	405	17	optimum	optimum	ADJ
ejpam-4693	405	18	value	value	NOUN
ejpam-4693	405	19	of	of	ADP
ejpam-4693	405	20	λ1	λ1	ADJ
ejpam-4693	405	21	,	,	PUNCT
ejpam-4693	405	22	λ2	λ2	NOUN
ejpam-4693	405	23	and	and	CCONJ
ejpam-4693	405	24	h	h	NOUN
ejpam-4693	405	25	are	be	AUX
ejpam-4693	405	26	selected	select	VERB
ejpam-4693	405	27	.	.	PUNCT
ejpam-4693	406	1	in	in	ADP
ejpam-4693	406	2	the	the	DET
ejpam-4693	406	3	first	first	ADJ
ejpam-4693	406	4	case	case	NOUN
ejpam-4693	406	5	,	,	PUNCT
ejpam-4693	406	6	the	the	DET
ejpam-4693	406	7	results	result	NOUN
ejpam-4693	406	8	were	be	AUX
ejpam-4693	406	9	calculated	calculate	VERB
ejpam-4693	406	10	according	accord	VERB
ejpam-4693	406	11	to	to	ADP
ejpam-4693	406	12	the	the	DET
ejpam-4693	406	13	standard	standard	ADJ
ejpam-4693	406	14	ham	ham	NOUN
ejpam-4693	406	15	,	,	PUNCT
ejpam-4693	406	16	in	in	ADP
ejpam-4693	406	17	the	the	DET
ejpam-4693	406	18	second	second	ADJ
ejpam-4693	406	19	case	case	NOUN
ejpam-4693	406	20	,	,	PUNCT
ejpam-4693	406	21	the	the	DET
ejpam-4693	406	22	best	good	ADJ
ejpam-4693	406	23	value	value	NOUN
ejpam-4693	406	24	for	for	ADP
ejpam-4693	406	25	h	h	NOUN
ejpam-4693	406	26	were	be	AUX
ejpam-4693	406	27	chosen	choose	VERB
ejpam-4693	406	28	according	accord	VERB
ejpam-4693	406	29	to	to	ADP
ejpam-4693	406	30	the	the	DET
ejpam-4693	406	31	genetic	genetic	ADJ
ejpam-4693	406	32	algorithm	algorithm	NOUN
ejpam-4693	406	33	and	and	CCONJ
ejpam-4693	406	34	based	base	VERB
ejpam-4693	406	35	on	on	ADP
ejpam-4693	406	36	which	which	PRON
ejpam-4693	406	37	the	the	DET
ejpam-4693	406	38	results	result	NOUN
ejpam-4693	406	39	were	be	AUX
ejpam-4693	406	40	calculated	calculate	VERB
ejpam-4693	406	41	using	use	VERB
ejpam-4693	406	42	ham	ham	PROPN
ejpam-4693	406	43	-	-	PUNCT
ejpam-4693	406	44	ga	ga	NOUN
ejpam-4693	406	45	.	.	PUNCT
ejpam-4693	407	1	as	as	ADP
ejpam-4693	407	2	for	for	ADP
ejpam-4693	407	3	the	the	DET
ejpam-4693	407	4	third	third	ADJ
ejpam-4693	407	5	case	case	NOUN
ejpam-4693	407	6	,	,	PUNCT
ejpam-4693	407	7	the	the	DET
ejpam-4693	407	8	best	good	ADJ
ejpam-4693	407	9	λ1and	λ1and	NOUN
ejpam-4693	407	10	λ2	λ2	NOUN
ejpam-4693	407	11	for	for	ADP
ejpam-4693	407	12	the	the	DET
ejpam-4693	407	13	volterra	volterra	NOUN
ejpam-4693	407	14	system	system	NOUN
ejpam-4693	407	15	of	of	ADP
ejpam-4693	407	16	integral	integral	ADJ
ejpam-4693	407	17	equations	equation	NOUN
ejpam-4693	407	18	were	be	AUX
ejpam-4693	407	19	chosen	choose	VERB
ejpam-4693	407	20	,	,	PUNCT
ejpam-4693	407	21	then	then	ADV
ejpam-4693	407	22	the	the	DET
ejpam-4693	407	23	results	result	NOUN
ejpam-4693	407	24	were	be	AUX
ejpam-4693	407	25	calculated	calculate	VERB
ejpam-4693	407	26	using	use	VERB
ejpam-4693	407	27	ham	ham	PROPN
ejpam-4693	407	28	-	-	PUNCT
ejpam-4693	407	29	ga	ga	PROPN
ejpam-4693	407	30	.	.	PUNCT
ejpam-4693	408	1	finally	finally	ADV
ejpam-4693	408	2	,	,	PUNCT
ejpam-4693	408	3	the	the	DET
ejpam-4693	408	4	results	result	NOUN
ejpam-4693	408	5	were	be	AUX
ejpam-4693	408	6	calculated	calculate	VERB
ejpam-4693	408	7	using	use	VERB
ejpam-4693	408	8	ham	ham	PROPN
ejpam-4693	408	9	-	-	PUNCT
ejpam-4693	408	10	ga	ga	NOUN
ejpam-4693	408	11	depending	depend	VERB
ejpam-4693	408	12	on	on	ADP
ejpam-4693	408	13	optimal	optimal	ADJ
ejpam-4693	408	14	λ1	λ1	ADJ
ejpam-4693	408	15	,	,	PUNCT
ejpam-4693	408	16	λ2	λ2	PROPN
ejpam-4693	408	17	and	and	CCONJ
ejpam-4693	408	18	h.	h.	NOUN
ejpam-4693	408	19	the	the	DET
ejpam-4693	408	20	results	result	NOUN
ejpam-4693	408	21	obtained	obtain	VERB
ejpam-4693	408	22	using	use	VERB
ejpam-4693	408	23	the	the	DET
ejpam-4693	408	24	best	good	ADJ
ejpam-4693	408	25	h	h	NOUN
ejpam-4693	408	26	were	be	AUX
ejpam-4693	408	27	better	well	ADJ
ejpam-4693	408	28	than	than	ADP
ejpam-4693	408	29	those	those	PRON
ejpam-4693	408	30	obtained	obtain	VERB
ejpam-4693	408	31	using	use	VERB
ejpam-4693	408	32	the	the	DET
ejpam-4693	408	33	standard	standard	ADJ
ejpam-4693	408	34	ham	ham	NOUN
ejpam-4693	408	35	.	.	PUNCT
ejpam-4693	409	1	as	as	ADP
ejpam-4693	409	2	for	for	ADP
ejpam-4693	409	3	the	the	DET
ejpam-4693	409	4	results	result	NOUN
ejpam-4693	409	5	for	for	ADP
ejpam-4693	409	6	the	the	DET
ejpam-4693	409	7	fourth	fourth	ADJ
ejpam-4693	409	8	case	case	NOUN
ejpam-4693	409	9	,	,	PUNCT
ejpam-4693	409	10	they	they	PRON
ejpam-4693	409	11	were	be	AUX
ejpam-4693	409	12	optimal	optimal	ADJ
ejpam-4693	409	13	for	for	ADP
ejpam-4693	409	14	the	the	DET
ejpam-4693	409	15	exact	exact	ADJ
ejpam-4693	409	16	solution	solution	NOUN
ejpam-4693	409	17	.	.	PUNCT
ejpam-4693	410	1	the	the	DET
ejpam-4693	410	2	findings	finding	NOUN
ejpam-4693	410	3	are	be	AUX
ejpam-4693	410	4	in	in	ADP
ejpam-4693	410	5	good	good	ADJ
ejpam-4693	410	6	agreement	agreement	NOUN
ejpam-4693	410	7	with	with	ADP
ejpam-4693	410	8	the	the	DET
ejpam-4693	410	9	h	h	NOUN
ejpam-4693	410	10	-	-	PUNCT
ejpam-4693	410	11	curves	curve	NOUN
ejpam-4693	410	12	indicating	indicate	VERB
ejpam-4693	410	13	that	that	SCONJ
ejpam-4693	410	14	the	the	DET
ejpam-4693	410	15	proposed	propose	VERB
ejpam-4693	410	16	algorithm	algorithm	NOUN
ejpam-4693	410	17	is	be	AUX
ejpam-4693	410	18	successful	successful	ADJ
ejpam-4693	410	19	in	in	ADP
ejpam-4693	410	20	finding	find	VERB
ejpam-4693	410	21	the	the	DET
ejpam-4693	410	22	solution	solution	NOUN
ejpam-4693	410	23	.	.	PUNCT
ejpam-4693	411	1	references	reference	NOUN
ejpam-4693	411	2	[	[	X
ejpam-4693	411	3	1	1	NUM
ejpam-4693	411	4	]	]	X
ejpam-4693	411	5	hamdy	hamdy	NOUN
ejpam-4693	411	6	r	r	PROPN
ejpam-4693	411	7	abdl	abdl	PROPN
ejpam-4693	411	8	-	-	PUNCT
ejpam-4693	411	9	rahim	rahim	PROPN
ejpam-4693	411	10	,	,	PUNCT
ejpam-4693	411	11	mohra	mohra	NOUN
ejpam-4693	411	12	zayed	zaye	VERB
ejpam-4693	411	13	,	,	PUNCT
ejpam-4693	411	14	and	and	CCONJ
ejpam-4693	411	15	gamal	gamal	PROPN
ejpam-4693	411	16	m	m	PROPN
ejpam-4693	411	17	ismail	ismail	PROPN
ejpam-4693	411	18	.	.	PUNCT
ejpam-4693	412	1	analytical	analytical	ADJ
ejpam-4693	412	2	study	study	NOUN
ejpam-4693	412	3	of	of	ADP
ejpam-4693	412	4	fractional	fractional	ADJ
ejpam-4693	412	5	epidemic	epidemic	NOUN
ejpam-4693	412	6	model	model	NOUN
ejpam-4693	412	7	via	via	ADP
ejpam-4693	412	8	natural	natural	ADJ
ejpam-4693	412	9	transform	transform	NOUN
ejpam-4693	412	10	homotopy	homotopy	NOUN
ejpam-4693	412	11	analysis	analysis	NOUN
ejpam-4693	412	12	method	method	NOUN
ejpam-4693	412	13	.	.	PUNCT
ejpam-4693	413	1	symmetry	symmetry	NOUN
ejpam-4693	413	2	,	,	PUNCT
ejpam-4693	413	3	14(8):1695	14(8):1695	NUM
ejpam-4693	413	4	,	,	PUNCT
ejpam-4693	413	5	2022	2022	NUM
ejpam-4693	413	6	.	.	PUNCT
ejpam-4693	414	1	[	[	X
ejpam-4693	414	2	2	2	X
ejpam-4693	414	3	]	]	PUNCT
ejpam-4693	414	4	samsul	samsul	ADJ
ejpam-4693	414	5	ariffin	ariffin	NOUN
ejpam-4693	414	6	abdul	abdul	PROPN
ejpam-4693	414	7	karim	karim	PROPN
ejpam-4693	414	8	,	,	PUNCT
ejpam-4693	414	9	faheem	faheem	PROPN
ejpam-4693	414	10	khan	khan	PROPN
ejpam-4693	414	11	,	,	PUNCT
ejpam-4693	414	12	and	and	CCONJ
ejpam-4693	414	13	muhammad	muhammad	PROPN
ejpam-4693	414	14	basit	basit	PROPN
ejpam-4693	414	15	.	.	PUNCT
ejpam-4693	415	1	symmetric	symmetric	PROPN
ejpam-4693	415	2	bernstein	bernstein	PROPN
ejpam-4693	415	3	polynomial	polynomial	PROPN
ejpam-4693	415	4	approach	approach	NOUN
ejpam-4693	415	5	for	for	ADP
ejpam-4693	415	6	the	the	DET
ejpam-4693	415	7	system	system	NOUN
ejpam-4693	415	8	of	of	ADP
ejpam-4693	415	9	volterra	volterra	PROPN
ejpam-4693	415	10	integral	integral	ADJ
ejpam-4693	415	11	equations	equation	NOUN
ejpam-4693	415	12	on	on	ADP
ejpam-4693	415	13	arbitrary	arbitrary	ADJ
ejpam-4693	415	14	interval	interval	NOUN
ejpam-4693	415	15	and	and	CCONJ
ejpam-4693	415	16	its	its	PRON
ejpam-4693	415	17	convergence	convergence	NOUN
ejpam-4693	415	18	analysis	analysis	NOUN
ejpam-4693	415	19	.	.	PUNCT
ejpam-4693	416	1	symmetry	symmetry	NOUN
ejpam-4693	416	2	,	,	PUNCT
ejpam-4693	416	3	14(7):1343	14(7):1343	NUM
ejpam-4693	416	4	,	,	PUNCT
ejpam-4693	416	5	2022	2022	NUM
ejpam-4693	416	6	.	.	PUNCT
ejpam-4693	417	1	references	reference	NOUN
ejpam-4693	417	2	889	889	NUM
ejpam-4693	418	1	[	[	X
ejpam-4693	418	2	3	3	X
ejpam-4693	418	3	]	]	X
ejpam-4693	418	4	muhammad	muhammad	NOUN
ejpam-4693	418	5	akbar	akbar	NOUN
ejpam-4693	418	6	,	,	PUNCT
ejpam-4693	418	7	rashid	rashid	PROPN
ejpam-4693	418	8	nawaz	nawaz	PROPN
ejpam-4693	418	9	,	,	PUNCT
ejpam-4693	418	10	sumbal	sumbal	PROPN
ejpam-4693	418	11	ahsan	ahsan	PROPN
ejpam-4693	418	12	,	,	PUNCT
ejpam-4693	418	13	dumitru	dumitru	PROPN
ejpam-4693	418	14	baleanu	baleanu	NOUN
ejpam-4693	418	15	,	,	PUNCT
ejpam-4693	418	16	and	and	CCONJ
ejpam-4693	418	17	kottakkaran	kottakkaran	VERB
ejpam-4693	418	18	sooppy	sooppy	ADJ
ejpam-4693	418	19	nisar	nisar	PROPN
ejpam-4693	418	20	.	.	PUNCT
ejpam-4693	419	1	analytical	analytical	ADJ
ejpam-4693	419	2	solution	solution	NOUN
ejpam-4693	419	3	of	of	ADP
ejpam-4693	419	4	system	system	NOUN
ejpam-4693	419	5	of	of	ADP
ejpam-4693	419	6	volterra	volterra	PROPN
ejpam-4693	419	7	integral	integral	ADJ
ejpam-4693	419	8	equations	equation	NOUN
ejpam-4693	419	9	using	use	VERB
ejpam-4693	419	10	oham	oham	NOUN
ejpam-4693	419	11	.	.	PUNCT
ejpam-4693	420	1	journal	journal	NOUN
ejpam-4693	420	2	of	of	ADP
ejpam-4693	420	3	mathematics	mathematic	NOUN
ejpam-4693	420	4	,	,	PUNCT
ejpam-4693	420	5	2020	2020	NUM
ejpam-4693	420	6	,	,	PUNCT
ejpam-4693	420	7	2020	2020	NUM
ejpam-4693	420	8	.	.	PUNCT
ejpam-4693	421	1	[	[	X
ejpam-4693	421	2	4	4	X
ejpam-4693	421	3	]	]	X
ejpam-4693	421	4	yousef	yousef	PROPN
ejpam-4693	421	5	al	al	PROPN
ejpam-4693	421	6	-	-	PUNCT
ejpam-4693	421	7	jarrah	jarrah	PROPN
ejpam-4693	421	8	.	.	PUNCT
ejpam-4693	422	1	on	on	ADP
ejpam-4693	422	2	the	the	DET
ejpam-4693	422	3	approximation	approximation	NOUN
ejpam-4693	422	4	solutions	solution	NOUN
ejpam-4693	422	5	of	of	ADP
ejpam-4693	422	6	linear	linear	PROPN
ejpam-4693	422	7	and	and	CCONJ
ejpam-4693	422	8	nonlinear	nonlinear	ADJ
ejpam-4693	422	9	volterra	volterra	NOUN
ejpam-4693	422	10	integral	integral	ADJ
ejpam-4693	422	11	equation	equation	NOUN
ejpam-4693	422	12	of	of	ADP
ejpam-4693	422	13	first	first	ADJ
ejpam-4693	422	14	and	and	CCONJ
ejpam-4693	422	15	second	second	ADJ
ejpam-4693	422	16	kinds	kind	NOUN
ejpam-4693	422	17	by	by	ADP
ejpam-4693	422	18	using	use	VERB
ejpam-4693	422	19	b	b	NUM
ejpam-4693	422	20	-	-	PUNCT
ejpam-4693	422	21	spline	spline	NOUN
ejpam-4693	422	22	tight	tight	ADJ
ejpam-4693	422	23	framelets	framelet	NOUN
ejpam-4693	422	24	generated	generate	VERB
ejpam-4693	422	25	by	by	ADP
ejpam-4693	422	26	unitary	unitary	ADJ
ejpam-4693	422	27	extension	extension	NOUN
ejpam-4693	422	28	principle	principle	NOUN
ejpam-4693	422	29	and	and	CCONJ
ejpam-4693	422	30	oblique	oblique	ADJ
ejpam-4693	422	31	extension	extension	NOUN
ejpam-4693	422	32	principle	principle	NOUN
ejpam-4693	422	33	.	.	PUNCT
ejpam-4693	423	1	international	international	ADJ
ejpam-4693	423	2	journal	journal	PROPN
ejpam-4693	423	3	of	of	ADP
ejpam-4693	423	4	difference	difference	NOUN
ejpam-4693	423	5	equations	equation	NOUN
ejpam-4693	423	6	(	(	PUNCT
ejpam-4693	423	7	ijde	ijde	PROPN
ejpam-4693	423	8	)	)	PUNCT
ejpam-4693	423	9	,	,	PUNCT
ejpam-4693	423	10	15(2):165–189	15(2):165–189	NUM
ejpam-4693	423	11	,	,	PUNCT
ejpam-4693	423	12	2020	2020	NUM
ejpam-4693	423	13	.	.	PUNCT
ejpam-4693	424	1	[	[	X
ejpam-4693	424	2	5	5	NUM
ejpam-4693	424	3	]	]	X
ejpam-4693	424	4	sadegh	sadegh	VERB
ejpam-4693	424	5	amiri	amiri	ADV
ejpam-4693	424	6	,	,	PUNCT
ejpam-4693	424	7	mojtaba	mojtaba	PROPN
ejpam-4693	424	8	hajipour	hajipour	NOUN
ejpam-4693	424	9	,	,	PUNCT
ejpam-4693	424	10	and	and	CCONJ
ejpam-4693	424	11	dumitru	dumitru	PROPN
ejpam-4693	424	12	baleanu	baleanu	NOUN
ejpam-4693	424	13	.	.	PUNCT
ejpam-4693	425	1	a	a	DET
ejpam-4693	425	2	spectral	spectral	ADJ
ejpam-4693	425	3	collocation	collocation	NOUN
ejpam-4693	425	4	method	method	NOUN
ejpam-4693	425	5	with	with	ADP
ejpam-4693	425	6	piecewise	piecewise	NOUN
ejpam-4693	425	7	trigonometric	trigonometric	ADJ
ejpam-4693	425	8	basis	basis	NOUN
ejpam-4693	425	9	functions	function	NOUN
ejpam-4693	425	10	for	for	ADP
ejpam-4693	425	11	nonlinear	nonlinear	PROPN
ejpam-4693	425	12	volterra	volterra	PROPN
ejpam-4693	425	13	–	–	PUNCT
ejpam-4693	425	14	fredholm	fredholm	ADJ
ejpam-4693	425	15	integral	integral	ADJ
ejpam-4693	425	16	equations	equation	NOUN
ejpam-4693	425	17	.	.	PUNCT
ejpam-4693	426	1	applied	apply	VERB
ejpam-4693	426	2	mathematics	mathematic	NOUN
ejpam-4693	426	3	and	and	CCONJ
ejpam-4693	426	4	computation	computation	NOUN
ejpam-4693	426	5	,	,	PUNCT
ejpam-4693	426	6	370:124915	370:124915	NUM
ejpam-4693	426	7	,	,	PUNCT
ejpam-4693	426	8	2020	2020	NUM
ejpam-4693	426	9	.	.	PUNCT
ejpam-4693	427	1	[	[	X
ejpam-4693	427	2	6	6	NUM
ejpam-4693	427	3	]	]	PUNCT
ejpam-4693	427	4	aytac	aytac	PROPN
ejpam-4693	427	5	arikoglu	arikoglu	NOUN
ejpam-4693	427	6	and	and	CCONJ
ejpam-4693	427	7	ibrahim	ibrahim	PROPN
ejpam-4693	427	8	ozkol	ozkol	PROPN
ejpam-4693	427	9	.	.	PUNCT
ejpam-4693	428	1	solutions	solution	NOUN
ejpam-4693	428	2	of	of	ADP
ejpam-4693	428	3	integral	integral	ADJ
ejpam-4693	428	4	and	and	CCONJ
ejpam-4693	428	5	integro	integro	ADJ
ejpam-4693	428	6	-	-	PUNCT
ejpam-4693	428	7	differential	differential	NOUN
ejpam-4693	428	8	equation	equation	NOUN
ejpam-4693	428	9	systems	system	NOUN
ejpam-4693	428	10	by	by	ADP
ejpam-4693	428	11	using	use	VERB
ejpam-4693	428	12	differential	differential	ADJ
ejpam-4693	428	13	transform	transform	NOUN
ejpam-4693	428	14	method	method	NOUN
ejpam-4693	428	15	.	.	PUNCT
ejpam-4693	429	1	computers	computer	NOUN
ejpam-4693	429	2	&	&	CCONJ
ejpam-4693	429	3	mathematics	mathematics	PROPN
ejpam-4693	429	4	with	with	ADP
ejpam-4693	429	5	applications	application	NOUN
ejpam-4693	429	6	,	,	PUNCT
ejpam-4693	429	7	56(9):2411–2417	56(9):2411–2417	NUM
ejpam-4693	429	8	,	,	PUNCT
ejpam-4693	429	9	2008	2008	NUM
ejpam-4693	429	10	.	.	PUNCT
ejpam-4693	430	1	[	[	X
ejpam-4693	430	2	7	7	X
ejpam-4693	430	3	]	]	X
ejpam-4693	430	4	pouria	pouria	NOUN
ejpam-4693	430	5	assari	assari	NOUN
ejpam-4693	430	6	and	and	CCONJ
ejpam-4693	430	7	mehdi	mehdi	PROPN
ejpam-4693	430	8	dehghan	dehghan	PROPN
ejpam-4693	430	9	.	.	PUNCT
ejpam-4693	431	1	the	the	DET
ejpam-4693	431	2	approximate	approximate	ADJ
ejpam-4693	431	3	solution	solution	NOUN
ejpam-4693	431	4	of	of	ADP
ejpam-4693	431	5	nonlinear	nonlinear	PROPN
ejpam-4693	431	6	volterra	volterra	PROPN
ejpam-4693	431	7	integral	integral	ADJ
ejpam-4693	431	8	equations	equation	NOUN
ejpam-4693	431	9	of	of	ADP
ejpam-4693	431	10	the	the	DET
ejpam-4693	431	11	second	second	ADJ
ejpam-4693	431	12	kind	kind	NOUN
ejpam-4693	431	13	using	use	VERB
ejpam-4693	431	14	radial	radial	ADJ
ejpam-4693	431	15	basis	basis	NOUN
ejpam-4693	431	16	functions	function	NOUN
ejpam-4693	431	17	.	.	PUNCT
ejpam-4693	432	1	appl	appl	PROPN
ejpam-4693	432	2	.	.	PUNCT
ejpam-4693	433	1	numer	numer	PROPN
ejpam-4693	433	2	.	.	PUNCT
ejpam-4693	433	3	math	math	PROPN
ejpam-4693	433	4	.	.	PUNCT
ejpam-4693	433	5	,	,	PUNCT
ejpam-4693	434	1	131(c):140–157	131(c):140–157	PROPN
ejpam-4693	434	2	,	,	PUNCT
ejpam-4693	434	3	sep	sep	PROPN
ejpam-4693	434	4	2018	2018	NUM
ejpam-4693	434	5	.	.	PUNCT
ejpam-4693	435	1	[	[	X
ejpam-4693	435	2	8	8	NUM
ejpam-4693	435	3	]	]	X
ejpam-4693	435	4	j	j	PROPN
ejpam-4693	435	5	biazar	biazar	PROPN
ejpam-4693	435	6	and	and	CCONJ
ejpam-4693	435	7	h	h	NOUN
ejpam-4693	435	8	ghazvini	ghazvini	PROPN
ejpam-4693	435	9	.	.	PUNCT
ejpam-4693	436	1	he	he	PRON
ejpam-4693	436	2	’s	’	VERB
ejpam-4693	436	3	homotopy	homotopy	PROPN
ejpam-4693	436	4	perturbation	perturbation	NOUN
ejpam-4693	436	5	method	method	NOUN
ejpam-4693	436	6	for	for	ADP
ejpam-4693	436	7	solving	solve	VERB
ejpam-4693	436	8	systems	system	NOUN
ejpam-4693	436	9	of	of	ADP
ejpam-4693	436	10	volterra	volterra	PROPN
ejpam-4693	436	11	integral	integral	ADJ
ejpam-4693	436	12	equations	equation	NOUN
ejpam-4693	436	13	of	of	ADP
ejpam-4693	436	14	the	the	DET
ejpam-4693	436	15	second	second	ADJ
ejpam-4693	436	16	kind	kind	NOUN
ejpam-4693	436	17	.	.	PUNCT
ejpam-4693	437	1	chaos	chaos	NOUN
ejpam-4693	437	2	,	,	PUNCT
ejpam-4693	437	3	solitons	soliton	NOUN
ejpam-4693	437	4	&	&	CCONJ
ejpam-4693	437	5	fractals	fractal	NOUN
ejpam-4693	437	6	,	,	PUNCT
ejpam-4693	437	7	39(2):770	39(2):770	NUM
ejpam-4693	437	8	–	–	PUNCT
ejpam-4693	437	9	777	777	NUM
ejpam-4693	437	10	,	,	PUNCT
ejpam-4693	437	11	2009	2009	NUM
ejpam-4693	437	12	.	.	PUNCT
ejpam-4693	438	1	[	[	X
ejpam-4693	438	2	9	9	NUM
ejpam-4693	438	3	]	]	X
ejpam-4693	438	4	fred	fred	PROPN
ejpam-4693	438	5	brauer	brauer	PROPN
ejpam-4693	438	6	.	.	PUNCT
ejpam-4693	439	1	on	on	ADP
ejpam-4693	439	2	a	a	DET
ejpam-4693	439	3	nonlinear	nonlinear	ADJ
ejpam-4693	439	4	integral	integral	ADJ
ejpam-4693	439	5	equation	equation	NOUN
ejpam-4693	439	6	for	for	ADP
ejpam-4693	439	7	population	population	NOUN
ejpam-4693	439	8	growth	growth	NOUN
ejpam-4693	439	9	problems	problem	NOUN
ejpam-4693	439	10	.	.	PUNCT
ejpam-4693	440	1	siam	siam	PROPN
ejpam-4693	440	2	journal	journal	PROPN
ejpam-4693	440	3	on	on	ADP
ejpam-4693	440	4	mathematical	mathematical	ADJ
ejpam-4693	440	5	analysis	analysis	NOUN
ejpam-4693	440	6	,	,	PUNCT
ejpam-4693	440	7	6(2):312–317	6(2):312–317	NUM
ejpam-4693	440	8	,	,	PUNCT
ejpam-4693	440	9	1975	1975	NUM
ejpam-4693	440	10	.	.	PUNCT
ejpam-4693	441	1	[	[	X
ejpam-4693	441	2	10	10	NUM
ejpam-4693	441	3	]	]	X
ejpam-4693	441	4	fred	fred	PROPN
ejpam-4693	441	5	brauer	brauer	PROPN
ejpam-4693	441	6	,	,	PUNCT
ejpam-4693	441	7	carlos	carlos	PROPN
ejpam-4693	441	8	castillo	castillo	PROPN
ejpam-4693	441	9	-	-	PUNCT
ejpam-4693	441	10	chavez	chavez	PROPN
ejpam-4693	441	11	,	,	PUNCT
ejpam-4693	441	12	and	and	CCONJ
ejpam-4693	441	13	carlos	carlos	PROPN
ejpam-4693	441	14	castillo	castillo	PROPN
ejpam-4693	441	15	-	-	PUNCT
ejpam-4693	441	16	chavez	chavez	PROPN
ejpam-4693	441	17	.	.	PUNCT
ejpam-4693	442	1	mathematical	mathematical	ADJ
ejpam-4693	442	2	models	model	NOUN
ejpam-4693	442	3	in	in	ADP
ejpam-4693	442	4	population	population	NOUN
ejpam-4693	442	5	biology	biology	NOUN
ejpam-4693	442	6	and	and	CCONJ
ejpam-4693	442	7	epidemiology	epidemiology	NOUN
ejpam-4693	442	8	,	,	PUNCT
ejpam-4693	442	9	volume	volume	NOUN
ejpam-4693	442	10	2	2	NUM
ejpam-4693	442	11	.	.	PUNCT
ejpam-4693	442	12	springer	springer	NOUN
ejpam-4693	442	13	,	,	PUNCT
ejpam-4693	442	14	2012	2012	NUM
ejpam-4693	442	15	.	.	PUNCT
ejpam-4693	443	1	[	[	X
ejpam-4693	443	2	11	11	NUM
ejpam-4693	443	3	]	]	PUNCT
ejpam-4693	443	4	ted	te	VERB
ejpam-4693	443	5	a	a	DET
ejpam-4693	443	6	burton	burton	PROPN
ejpam-4693	443	7	.	.	PUNCT
ejpam-4693	444	1	volterra	volterra	PROPN
ejpam-4693	444	2	integral	integral	ADJ
ejpam-4693	444	3	and	and	CCONJ
ejpam-4693	444	4	differential	differential	ADJ
ejpam-4693	444	5	equations	equation	NOUN
ejpam-4693	444	6	,	,	PUNCT
ejpam-4693	444	7	volume	volume	NOUN
ejpam-4693	444	8	202	202	NUM
ejpam-4693	444	9	.	.	PUNCT
ejpam-4693	445	1	elsevier	elsevier	NOUN
ejpam-4693	445	2	,	,	PUNCT
ejpam-4693	445	3	2005	2005	NUM
ejpam-4693	445	4	.	.	PUNCT
ejpam-4693	446	1	[	[	X
ejpam-4693	446	2	12	12	NUM
ejpam-4693	446	3	]	]	PUNCT
ejpam-4693	446	4	yves	yve	NOUN
ejpam-4693	446	5	cherruault	cherruault	NOUN
ejpam-4693	446	6	.	.	PUNCT
ejpam-4693	447	1	convergence	convergence	NOUN
ejpam-4693	447	2	of	of	ADP
ejpam-4693	447	3	adomian	adomian	NOUN
ejpam-4693	447	4	’s	’s	PART
ejpam-4693	447	5	method	method	NOUN
ejpam-4693	447	6	.	.	PUNCT
ejpam-4693	448	1	kybernetes	kybernete	NOUN
ejpam-4693	448	2	,	,	PUNCT
ejpam-4693	448	3	1989	1989	NUM
ejpam-4693	448	4	.	.	PUNCT
ejpam-4693	449	1	[	[	X
ejpam-4693	449	2	13	13	NUM
ejpam-4693	449	3	]	]	X
ejpam-4693	449	4	eva	eva	PROPN
ejpam-4693	449	5	de	de	PROPN
ejpam-4693	449	6	botton	botton	PROPN
ejpam-4693	449	7	,	,	PUNCT
ejpam-4693	449	8	j	j	PROPN
ejpam-4693	449	9	barry	barry	PROPN
ejpam-4693	449	10	greenberg	greenberg	PROPN
ejpam-4693	449	11	,	,	PUNCT
ejpam-4693	449	12	alumah	alumah	VERB
ejpam-4693	449	13	arad	arad	PROPN
ejpam-4693	449	14	,	,	PUNCT
ejpam-4693	449	15	david	david	PROPN
ejpam-4693	449	16	katoshevski	katoshevski	PROPN
ejpam-4693	449	17	,	,	PUNCT
ejpam-4693	449	18	visakh	visakh	NOUN
ejpam-4693	449	19	vaikuntanathan	vaikuntanathan	NOUN
ejpam-4693	449	20	,	,	PUNCT
ejpam-4693	449	21	matthias	matthias	PROPN
ejpam-4693	449	22	ibach	ibach	NOUN
ejpam-4693	449	23	,	,	PUNCT
ejpam-4693	449	24	and	and	CCONJ
ejpam-4693	449	25	bernhard	bernhard	PROPN
ejpam-4693	449	26	weigand	weigand	PROPN
ejpam-4693	449	27	.	.	PUNCT
ejpam-4693	450	1	an	an	DET
ejpam-4693	450	2	investigation	investigation	NOUN
ejpam-4693	450	3	of	of	ADP
ejpam-4693	450	4	grouping	grouping	NOUN
ejpam-4693	450	5	of	of	ADP
ejpam-4693	450	6	two	two	NUM
ejpam-4693	450	7	falling	fall	VERB
ejpam-4693	450	8	dissimilar	dissimilar	ADJ
ejpam-4693	450	9	droplets	droplet	NOUN
ejpam-4693	450	10	using	use	VERB
ejpam-4693	450	11	the	the	DET
ejpam-4693	450	12	homotopy	homotopy	NOUN
ejpam-4693	450	13	analysis	analysis	NOUN
ejpam-4693	450	14	method	method	NOUN
ejpam-4693	450	15	.	.	PUNCT
ejpam-4693	451	1	applied	apply	VERB
ejpam-4693	451	2	mathematical	mathematical	ADJ
ejpam-4693	451	3	modelling	modelling	NOUN
ejpam-4693	451	4	,	,	PUNCT
ejpam-4693	451	5	104:486–498	104:486–498	NUM
ejpam-4693	451	6	,	,	PUNCT
ejpam-4693	451	7	2022	2022	NUM
ejpam-4693	451	8	.	.	PUNCT
ejpam-4693	452	1	[	[	X
ejpam-4693	452	2	14	14	NUM
ejpam-4693	452	3	]	]	X
ejpam-4693	452	4	mohammad	mohammad	PROPN
ejpam-4693	452	5	ali	ali	PROPN
ejpam-4693	452	6	fariborzi	fariborzi	PROPN
ejpam-4693	452	7	araghi	araghi	PROPN
ejpam-4693	452	8	and	and	CCONJ
ejpam-4693	452	9	samad	samad	PROPN
ejpam-4693	452	10	noeiaghdam	noeiaghdam	PROPN
ejpam-4693	452	11	.	.	PUNCT
ejpam-4693	453	1	finding	find	VERB
ejpam-4693	453	2	optimal	optimal	ADJ
ejpam-4693	453	3	results	result	NOUN
ejpam-4693	453	4	in	in	ADP
ejpam-4693	453	5	the	the	DET
ejpam-4693	453	6	homotopy	homotopy	NOUN
ejpam-4693	453	7	analysis	analysis	NOUN
ejpam-4693	453	8	method	method	NOUN
ejpam-4693	453	9	to	to	PART
ejpam-4693	453	10	solve	solve	VERB
ejpam-4693	453	11	fuzzy	fuzzy	ADJ
ejpam-4693	453	12	integral	integral	ADJ
ejpam-4693	453	13	equations	equation	NOUN
ejpam-4693	453	14	.	.	PUNCT
ejpam-4693	454	1	in	in	ADP
ejpam-4693	454	2	advances	advance	NOUN
ejpam-4693	454	3	in	in	ADP
ejpam-4693	454	4	fuzzy	fuzzy	ADJ
ejpam-4693	454	5	integral	integral	ADJ
ejpam-4693	454	6	and	and	CCONJ
ejpam-4693	454	7	differential	differential	ADJ
ejpam-4693	454	8	equations	equation	NOUN
ejpam-4693	454	9	,	,	PUNCT
ejpam-4693	454	10	pages	page	NOUN
ejpam-4693	454	11	173–195	173–195	NUM
ejpam-4693	454	12	.	.	PUNCT
ejpam-4693	454	13	springer	springer	NOUN
ejpam-4693	454	14	,	,	PUNCT
ejpam-4693	454	15	2022	2022	NUM
ejpam-4693	454	16	.	.	PUNCT
ejpam-4693	455	1	[	[	X
ejpam-4693	455	2	15	15	NUM
ejpam-4693	455	3	]	]	X
ejpam-4693	455	4	atanaska	atanaska	ADJ
ejpam-4693	455	5	georgieva	georgieva	NOUN
ejpam-4693	455	6	and	and	CCONJ
ejpam-4693	455	7	snezhana	snezhana	PROPN
ejpam-4693	455	8	hristova	hristova	PROPN
ejpam-4693	455	9	.	.	PUNCT
ejpam-4693	456	1	homotopy	homotopy	VERB
ejpam-4693	456	2	analysis	analysis	NOUN
ejpam-4693	456	3	method	method	NOUN
ejpam-4693	456	4	to	to	PART
ejpam-4693	456	5	solve	solve	VERB
ejpam-4693	456	6	two	two	NUM
ejpam-4693	456	7	-	-	PUNCT
ejpam-4693	456	8	dimensional	dimensional	ADJ
ejpam-4693	456	9	nonlinear	nonlinear	ADJ
ejpam-4693	456	10	volterra	volterra	NOUN
ejpam-4693	456	11	-	-	PUNCT
ejpam-4693	456	12	fredholm	fredholm	NOUN
ejpam-4693	456	13	fuzzy	fuzzy	ADJ
ejpam-4693	456	14	integral	integral	ADJ
ejpam-4693	456	15	equations	equation	NOUN
ejpam-4693	456	16	.	.	PUNCT
ejpam-4693	457	1	fractal	fractal	PROPN
ejpam-4693	457	2	and	and	CCONJ
ejpam-4693	457	3	fractional	fractional	ADJ
ejpam-4693	457	4	,	,	PUNCT
ejpam-4693	457	5	4(1):9	4(1):9	NUM
ejpam-4693	457	6	,	,	PUNCT
ejpam-4693	457	7	2020	2020	NUM
ejpam-4693	457	8	.	.	PUNCT
ejpam-4693	458	1	references	reference	NOUN
ejpam-4693	458	2	890	890	NUM
ejpam-4693	458	3	[	[	SYM
ejpam-4693	458	4	16	16	NUM
ejpam-4693	458	5	]	]	PUNCT
ejpam-4693	458	6	ahmed	ahmed	PROPN
ejpam-4693	458	7	hamoud	hamoud	PROPN
ejpam-4693	458	8	,	,	PUNCT
ejpam-4693	458	9	nedal	nedal	NOUN
ejpam-4693	458	10	mohammed	mohammed	PROPN
ejpam-4693	458	11	,	,	PUNCT
ejpam-4693	458	12	and	and	CCONJ
ejpam-4693	458	13	kirtiwant	kirtiwant	ADJ
ejpam-4693	458	14	ghadle	ghadle	NOUN
ejpam-4693	458	15	.	.	PUNCT
ejpam-4693	459	1	solving	solve	VERB
ejpam-4693	459	2	mixed	mixed	ADJ
ejpam-4693	459	3	volterra	volterra	NOUN
ejpam-4693	459	4	-	-	PUNCT
ejpam-4693	459	5	fredholm	fredholm	NOUN
ejpam-4693	459	6	integro	integro	ADJ
ejpam-4693	459	7	differential	differential	ADJ
ejpam-4693	459	8	equations	equation	NOUN
ejpam-4693	459	9	by	by	ADP
ejpam-4693	459	10	using	use	VERB
ejpam-4693	459	11	ham	ham	NOUN
ejpam-4693	459	12	.	.	PUNCT
ejpam-4693	460	1	turkish	turkish	ADJ
ejpam-4693	460	2	journal	journal	NOUN
ejpam-4693	460	3	of	of	ADP
ejpam-4693	460	4	mathematics	mathematic	NOUN
ejpam-4693	460	5	and	and	CCONJ
ejpam-4693	460	6	computer	computer	NOUN
ejpam-4693	460	7	science	science	NOUN
ejpam-4693	460	8	,	,	PUNCT
ejpam-4693	460	9	12(1):18–25	12(1):18–25	NUM
ejpam-4693	460	10	,	,	PUNCT
ejpam-4693	460	11	2020	2020	NUM
ejpam-4693	460	12	.	.	PUNCT
ejpam-4693	461	1	[	[	X
ejpam-4693	461	2	17	17	NUM
ejpam-4693	461	3	]	]	X
ejpam-4693	461	4	edyta	edyta	PROPN
ejpam-4693	461	5	hetmaniok	hetmaniok	PROPN
ejpam-4693	461	6	,	,	PUNCT
ejpam-4693	461	7	damian	damian	PROPN
ejpam-4693	461	8	s	s	PART
ejpam-4693	461	9	lota	lota	NOUN
ejpam-4693	461	10	,	,	PUNCT
ejpam-4693	461	11	tomasz	tomasz	PROPN
ejpam-4693	461	12	trawiński	trawiński	NOUN
ejpam-4693	461	13	,	,	PUNCT
ejpam-4693	461	14	and	and	CCONJ
ejpam-4693	461	15	roman	roman	VERB
ejpam-4693	461	16	witu	witu	ADJ
ejpam-4693	461	17	la	la	PROPN
ejpam-4693	461	18	.	.	PUNCT
ejpam-4693	461	19	usage	usage	NOUN
ejpam-4693	461	20	of	of	ADP
ejpam-4693	461	21	the	the	DET
ejpam-4693	461	22	homotopy	homotopy	NOUN
ejpam-4693	461	23	analysis	analysis	NOUN
ejpam-4693	461	24	method	method	NOUN
ejpam-4693	461	25	for	for	ADP
ejpam-4693	461	26	solving	solve	VERB
ejpam-4693	461	27	the	the	DET
ejpam-4693	461	28	nonlinear	nonlinear	ADJ
ejpam-4693	461	29	and	and	CCONJ
ejpam-4693	461	30	linear	linear	ADJ
ejpam-4693	461	31	integral	integral	ADJ
ejpam-4693	461	32	equations	equation	NOUN
ejpam-4693	461	33	of	of	ADP
ejpam-4693	461	34	the	the	DET
ejpam-4693	461	35	second	second	ADJ
ejpam-4693	461	36	kind	kind	NOUN
ejpam-4693	461	37	.	.	PUNCT
ejpam-4693	462	1	numerical	numerical	ADJ
ejpam-4693	462	2	algorithms	algorithms	PROPN
ejpam-4693	462	3	,	,	PUNCT
ejpam-4693	462	4	67(1):163–185	67(1):163–185	PROPN
ejpam-4693	462	5	,	,	PUNCT
ejpam-4693	462	6	2014	2014	NUM
ejpam-4693	462	7	.	.	PUNCT
ejpam-4693	463	1	[	[	X
ejpam-4693	463	2	18	18	NUM
ejpam-4693	463	3	]	]	X
ejpam-4693	463	4	j	j	PROPN
ejpam-4693	463	5	izadian	izadian	PROPN
ejpam-4693	463	6	,	,	PUNCT
ejpam-4693	463	7	m	m	NOUN
ejpam-4693	463	8	mohammadzadeattar	mohammadzadeattar	NOUN
ejpam-4693	463	9	,	,	PUNCT
ejpam-4693	463	10	and	and	CCONJ
ejpam-4693	463	11	m	m	PROPN
ejpam-4693	463	12	jalili	jalili	NOUN
ejpam-4693	463	13	.	.	PUNCT
ejpam-4693	464	1	numerical	numerical	ADJ
ejpam-4693	464	2	solution	solution	NOUN
ejpam-4693	464	3	of	of	ADP
ejpam-4693	464	4	deformation	deformation	NOUN
ejpam-4693	464	5	equations	equation	NOUN
ejpam-4693	464	6	in	in	ADP
ejpam-4693	464	7	homotopy	homotopy	NOUN
ejpam-4693	464	8	analysis	analysis	NOUN
ejpam-4693	464	9	method	method	NOUN
ejpam-4693	464	10	.	.	PUNCT
ejpam-4693	465	1	applied	apply	VERB
ejpam-4693	465	2	mathematical	mathematical	ADJ
ejpam-4693	465	3	sciences	science	NOUN
ejpam-4693	465	4	,	,	PUNCT
ejpam-4693	465	5	6(8):357	6(8):357	NUM
ejpam-4693	465	6	–	–	PUNCT
ejpam-4693	465	7	367	367	NUM
ejpam-4693	465	8	,	,	PUNCT
ejpam-4693	465	9	2012	2012	NUM
ejpam-4693	465	10	.	.	PUNCT
ejpam-4693	466	1	[	[	X
ejpam-4693	466	2	19	19	NUM
ejpam-4693	466	3	]	]	X
ejpam-4693	466	4	ahmad	ahmad	PROPN
ejpam-4693	466	5	jafarian	jafarian	PROPN
ejpam-4693	466	6	,	,	PUNCT
ejpam-4693	466	7	pariya	pariya	NOUN
ejpam-4693	466	8	ghaderi	ghaderi	NOUN
ejpam-4693	466	9	,	,	PUNCT
ejpam-4693	466	10	alireza	alireza	PROPN
ejpam-4693	466	11	k	k	PROPN
ejpam-4693	466	12	golmankhaneh	golmankhaneh	PROPN
ejpam-4693	466	13	,	,	PUNCT
ejpam-4693	466	14	and	and	CCONJ
ejpam-4693	466	15	dumitru	dumitru	PROPN
ejpam-4693	466	16	baleanu	baleanu	NOUN
ejpam-4693	466	17	.	.	PUNCT
ejpam-4693	467	1	analytical	analytical	ADJ
ejpam-4693	467	2	treatment	treatment	NOUN
ejpam-4693	467	3	of	of	ADP
ejpam-4693	467	4	system	system	NOUN
ejpam-4693	467	5	of	of	ADP
ejpam-4693	467	6	abel	abel	PROPN
ejpam-4693	467	7	integral	integral	ADJ
ejpam-4693	467	8	equations	equation	NOUN
ejpam-4693	467	9	by	by	ADP
ejpam-4693	467	10	homotopy	homotopy	NOUN
ejpam-4693	467	11	analysis	analysis	NOUN
ejpam-4693	467	12	method	method	NOUN
ejpam-4693	467	13	.	.	PUNCT
ejpam-4693	468	1	rom	rom	PROPN
ejpam-4693	468	2	.	.	PUNCT
ejpam-4693	468	3	rep	rep	PROPN
ejpam-4693	468	4	.	.	PROPN
ejpam-4693	468	5	phys	phy	NOUN
ejpam-4693	468	6	,	,	PUNCT
ejpam-4693	468	7	66(3):603–611	66(3):603–611	PROPN
ejpam-4693	468	8	,	,	PUNCT
ejpam-4693	468	9	2014	2014	NUM
ejpam-4693	468	10	.	.	PUNCT
ejpam-4693	469	1	[	[	X
ejpam-4693	469	2	20	20	NUM
ejpam-4693	469	3	]	]	PUNCT
ejpam-4693	469	4	a	a	DET
ejpam-4693	469	5	jayachitra	jayachitra	NOUN
ejpam-4693	469	6	and	and	CCONJ
ejpam-4693	469	7	r	r	NOUN
ejpam-4693	469	8	vinodha	vinodha	NOUN
ejpam-4693	469	9	.	.	PUNCT
ejpam-4693	470	1	genetic	genetic	ADJ
ejpam-4693	470	2	algorithm	algorithm	NOUN
ejpam-4693	470	3	based	base	VERB
ejpam-4693	470	4	pid	pid	NOUN
ejpam-4693	470	5	controller	controller	NOUN
ejpam-4693	470	6	tuning	tune	VERB
ejpam-4693	470	7	approach	approach	NOUN
ejpam-4693	470	8	for	for	ADP
ejpam-4693	470	9	continuous	continuous	ADJ
ejpam-4693	470	10	stirred	stir	VERB
ejpam-4693	470	11	tank	tank	NOUN
ejpam-4693	470	12	reactor	reactor	NOUN
ejpam-4693	470	13	.	.	PUNCT
ejpam-4693	471	1	advances	advance	NOUN
ejpam-4693	471	2	in	in	ADP
ejpam-4693	471	3	artificial	artificial	ADJ
ejpam-4693	471	4	intelligence	intelligence	NOUN
ejpam-4693	471	5	(	(	PUNCT
ejpam-4693	471	6	16877470	16877470	NUM
ejpam-4693	471	7	)	)	PUNCT
ejpam-4693	471	8	,	,	PUNCT
ejpam-4693	471	9	2014	2014	NUM
ejpam-4693	471	10	.	.	PUNCT
ejpam-4693	472	1	[	[	X
ejpam-4693	472	2	21	21	NUM
ejpam-4693	472	3	]	]	X
ejpam-4693	472	4	man	man	NOUN
ejpam-4693	472	5	kf	kf	PROPN
ejpam-4693	472	6	,	,	PUNCT
ejpam-4693	472	7	tang	tang	PROPN
ejpam-4693	472	8	ks	ks	PROPN
ejpam-4693	472	9	,	,	PUNCT
ejpam-4693	472	10	et	et	PROPN
ejpam-4693	472	11	al	al	PROPN
ejpam-4693	472	12	.	.	PUNCT
ejpam-4693	473	1	genetic	genetic	ADJ
ejpam-4693	473	2	algorithms	algorithm	NOUN
ejpam-4693	473	3	:	:	PUNCT
ejpam-4693	473	4	concepts	concept	NOUN
ejpam-4693	473	5	and	and	CCONJ
ejpam-4693	473	6	applications	application	NOUN
ejpam-4693	473	7	[	[	PUNCT
ejpam-4693	473	8	in	in	ADP
ejpam-4693	473	9	engineering	engineering	NOUN
ejpam-4693	473	10	design	design	NOUN
ejpam-4693	473	11	]	]	PUNCT
ejpam-4693	473	12	.	.	PUNCT
ejpam-4693	474	1	ieee	ieee	NOUN
ejpam-4693	474	2	transactions	transaction	NOUN
ejpam-4693	474	3	on	on	ADP
ejpam-4693	474	4	industrial	industrial	ADJ
ejpam-4693	474	5	electronics	electronic	NOUN
ejpam-4693	474	6	,	,	PUNCT
ejpam-4693	474	7	43(5):519–534	43(5):519–534	PROPN
ejpam-4693	474	8	,	,	PUNCT
ejpam-4693	474	9	1996	1996	NUM
ejpam-4693	474	10	.	.	PUNCT
ejpam-4693	475	1	[	[	X
ejpam-4693	475	2	22	22	NUM
ejpam-4693	475	3	]	]	X
ejpam-4693	475	4	oliver	oliver	PROPN
ejpam-4693	475	5	kramer	kramer	PROPN
ejpam-4693	475	6	.	.	PUNCT
ejpam-4693	476	1	genetic	genetic	ADJ
ejpam-4693	476	2	algorithms	algorithm	NOUN
ejpam-4693	476	3	.	.	PUNCT
ejpam-4693	477	1	in	in	ADP
ejpam-4693	477	2	genetic	genetic	ADJ
ejpam-4693	477	3	algorithm	algorithm	NOUN
ejpam-4693	477	4	essentials	essential	NOUN
ejpam-4693	477	5	,	,	PUNCT
ejpam-4693	477	6	pages	page	NOUN
ejpam-4693	477	7	11–19	11–19	PROPN
ejpam-4693	477	8	.	.	PUNCT
ejpam-4693	477	9	springer	springer	NOUN
ejpam-4693	477	10	,	,	PUNCT
ejpam-4693	477	11	2017	2017	NUM
ejpam-4693	477	12	.	.	PUNCT
ejpam-4693	478	1	[	[	X
ejpam-4693	478	2	23	23	NUM
ejpam-4693	478	3	]	]	X
ejpam-4693	478	4	jia	jia	PROPN
ejpam-4693	478	5	-	-	PROPN
ejpam-4693	478	6	xuan	xuan	PROPN
ejpam-4693	478	7	li	li	PROPN
ejpam-4693	478	8	,	,	PUNCT
ejpam-4693	478	9	yan	yan	PROPN
ejpam-4693	478	10	yan	yan	PROPN
ejpam-4693	478	11	,	,	PUNCT
ejpam-4693	478	12	and	and	CCONJ
ejpam-4693	478	13	wen	wen	PROPN
ejpam-4693	478	14	-	-	PROPN
ejpam-4693	478	15	quan	quan	PROPN
ejpam-4693	478	16	wang	wang	PROPN
ejpam-4693	478	17	.	.	PUNCT
ejpam-4693	479	1	time	time	NOUN
ejpam-4693	479	2	-	-	PUNCT
ejpam-4693	479	3	delay	delay	NOUN
ejpam-4693	479	4	feedback	feedback	NOUN
ejpam-4693	479	5	control	control	NOUN
ejpam-4693	479	6	of	of	ADP
ejpam-4693	479	7	a	a	DET
ejpam-4693	479	8	cantilever	cantilever	NOUN
ejpam-4693	479	9	beam	beam	NOUN
ejpam-4693	479	10	with	with	ADP
ejpam-4693	479	11	concentrated	concentrate	VERB
ejpam-4693	479	12	mass	mass	NOUN
ejpam-4693	479	13	based	base	VERB
ejpam-4693	479	14	on	on	ADP
ejpam-4693	479	15	the	the	DET
ejpam-4693	479	16	homotopy	homotopy	NOUN
ejpam-4693	479	17	analysis	analysis	NOUN
ejpam-4693	479	18	method	method	NOUN
ejpam-4693	479	19	.	.	PUNCT
ejpam-4693	480	1	applied	apply	VERB
ejpam-4693	480	2	mathematical	mathematical	ADJ
ejpam-4693	480	3	modelling	modelling	NOUN
ejpam-4693	480	4	,	,	PUNCT
ejpam-4693	480	5	108:629–645	108:629–645	NUM
ejpam-4693	480	6	,	,	PUNCT
ejpam-4693	480	7	2022	2022	NUM
ejpam-4693	480	8	.	.	PUNCT
ejpam-4693	481	1	[	[	X
ejpam-4693	481	2	24	24	NUM
ejpam-4693	481	3	]	]	X
ejpam-4693	481	4	shijun	shijun	PROPN
ejpam-4693	481	5	liao	liao	PROPN
ejpam-4693	481	6	.	.	PROPN
ejpam-4693	482	1	beyond	beyond	ADP
ejpam-4693	482	2	perturbation	perturbation	NOUN
ejpam-4693	482	3	:	:	PUNCT
ejpam-4693	482	4	introduction	introduction	NOUN
ejpam-4693	482	5	to	to	ADP
ejpam-4693	482	6	the	the	DET
ejpam-4693	482	7	homotopy	homotopy	NOUN
ejpam-4693	482	8	analysis	analysis	NOUN
ejpam-4693	482	9	method	method	NOUN
ejpam-4693	482	10	.	.	PUNCT
ejpam-4693	483	1	chapman	chapman	NOUN
ejpam-4693	483	2	and	and	CCONJ
ejpam-4693	483	3	hall	hall	PROPN
ejpam-4693	483	4	/	/	SYM
ejpam-4693	483	5	crc	crc	PROPN
ejpam-4693	483	6	,	,	PUNCT
ejpam-4693	483	7	2003	2003	NUM
ejpam-4693	483	8	.	.	PUNCT
ejpam-4693	484	1	[	[	X
ejpam-4693	484	2	25	25	NUM
ejpam-4693	484	3	]	]	X
ejpam-4693	484	4	shijun	shijun	PROPN
ejpam-4693	484	5	liao	liao	PROPN
ejpam-4693	484	6	.	.	PROPN
ejpam-4693	485	1	on	on	ADP
ejpam-4693	485	2	the	the	DET
ejpam-4693	485	3	homotopy	homotopy	NOUN
ejpam-4693	485	4	analysis	analysis	NOUN
ejpam-4693	485	5	method	method	NOUN
ejpam-4693	485	6	for	for	ADP
ejpam-4693	485	7	nonlinear	nonlinear	ADJ
ejpam-4693	485	8	problems	problem	NOUN
ejpam-4693	485	9	.	.	PUNCT
ejpam-4693	486	1	applied	apply	VERB
ejpam-4693	486	2	mathematics	mathematic	NOUN
ejpam-4693	486	3	and	and	CCONJ
ejpam-4693	486	4	computation	computation	NOUN
ejpam-4693	486	5	,	,	PUNCT
ejpam-4693	486	6	147(2):499–513	147(2):499–513	NUM
ejpam-4693	486	7	,	,	PUNCT
ejpam-4693	486	8	2004	2004	NUM
ejpam-4693	486	9	.	.	PUNCT
ejpam-4693	487	1	[	[	X
ejpam-4693	487	2	26	26	NUM
ejpam-4693	487	3	]	]	X
ejpam-4693	487	4	shijun	shijun	PROPN
ejpam-4693	487	5	liao	liao	PROPN
ejpam-4693	487	6	.	.	PROPN
ejpam-4693	487	7	notes	note	NOUN
ejpam-4693	487	8	on	on	ADP
ejpam-4693	487	9	the	the	DET
ejpam-4693	487	10	homotopy	homotopy	NOUN
ejpam-4693	487	11	analysis	analysis	NOUN
ejpam-4693	487	12	method	method	NOUN
ejpam-4693	487	13	:	:	PUNCT
ejpam-4693	487	14	some	some	DET
ejpam-4693	487	15	definitions	definition	NOUN
ejpam-4693	487	16	and	and	CCONJ
ejpam-4693	487	17	theorems	theorem	NOUN
ejpam-4693	487	18	.	.	PUNCT
ejpam-4693	487	19	communications	communication	NOUN
ejpam-4693	487	20	in	in	ADP
ejpam-4693	487	21	nonlinear	nonlinear	ADJ
ejpam-4693	487	22	science	science	NOUN
ejpam-4693	487	23	and	and	CCONJ
ejpam-4693	487	24	numerical	numerical	PROPN
ejpam-4693	487	25	simulation	simulation	PROPN
ejpam-4693	487	26	,	,	PUNCT
ejpam-4693	487	27	14(4):983	14(4):983	NUM
ejpam-4693	487	28	–	–	PUNCT
ejpam-4693	487	29	997	997	NUM
ejpam-4693	487	30	,	,	PUNCT
ejpam-4693	487	31	2009	2009	NUM
ejpam-4693	487	32	.	.	PUNCT
ejpam-4693	488	1	[	[	X
ejpam-4693	488	2	27	27	NUM
ejpam-4693	488	3	]	]	X
ejpam-4693	488	4	shijun	shijun	PROPN
ejpam-4693	488	5	liao	liao	PROPN
ejpam-4693	488	6	.	.	PROPN
ejpam-4693	488	7	homotopy	homotopy	VERB
ejpam-4693	488	8	analysis	analysis	NOUN
ejpam-4693	488	9	method	method	NOUN
ejpam-4693	488	10	in	in	ADP
ejpam-4693	488	11	nonlinear	nonlinear	ADJ
ejpam-4693	488	12	differential	differential	ADJ
ejpam-4693	488	13	equations	equation	NOUN
ejpam-4693	488	14	.	.	PUNCT
ejpam-4693	489	1	springer	springer	NOUN
ejpam-4693	489	2	,	,	PUNCT
ejpam-4693	489	3	2012	2012	NUM
ejpam-4693	489	4	.	.	PUNCT
ejpam-4693	490	1	[	[	X
ejpam-4693	490	2	28	28	NUM
ejpam-4693	490	3	]	]	X
ejpam-4693	490	4	shijun	shijun	PROPN
ejpam-4693	490	5	liao	liao	PROPN
ejpam-4693	490	6	.	.	PROPN
ejpam-4693	490	7	avoiding	avoid	VERB
ejpam-4693	490	8	small	small	ADJ
ejpam-4693	490	9	denominator	denominator	NOUN
ejpam-4693	490	10	problems	problem	NOUN
ejpam-4693	490	11	by	by	ADP
ejpam-4693	490	12	means	mean	NOUN
ejpam-4693	490	13	of	of	ADP
ejpam-4693	490	14	the	the	DET
ejpam-4693	490	15	homotopy	homotopy	NOUN
ejpam-4693	490	16	analysis	analysis	NOUN
ejpam-4693	490	17	method	method	NOUN
ejpam-4693	490	18	.	.	PUNCT
ejpam-4693	491	1	advances	advance	NOUN
ejpam-4693	491	2	in	in	ADP
ejpam-4693	491	3	applied	apply	VERB
ejpam-4693	491	4	mathematics	mathematic	NOUN
ejpam-4693	491	5	and	and	CCONJ
ejpam-4693	491	6	mechanics	mechanic	NOUN
ejpam-4693	491	7	,	,	PUNCT
ejpam-4693	491	8	15(2):267–299	15(2):267–299	PROPN
ejpam-4693	491	9	,	,	PUNCT
ejpam-4693	491	10	2023	2023	NUM
ejpam-4693	491	11	.	.	PUNCT
ejpam-4693	492	1	references	reference	NOUN
ejpam-4693	492	2	891	891	NUM
ejpam-4693	492	3	[	[	X
ejpam-4693	492	4	29	29	NUM
ejpam-4693	492	5	]	]	SYM
ejpam-4693	492	6	bijan	bijan	PROPN
ejpam-4693	492	7	hasani	hasani	PROPN
ejpam-4693	492	8	lichae	lichae	PROPN
ejpam-4693	492	9	,	,	PUNCT
ejpam-4693	492	10	jafar	jafar	PROPN
ejpam-4693	492	11	biazar	biazar	PROPN
ejpam-4693	492	12	,	,	PUNCT
ejpam-4693	492	13	and	and	CCONJ
ejpam-4693	492	14	zainab	zainab	PROPN
ejpam-4693	492	15	ayati	ayati	PROPN
ejpam-4693	492	16	.	.	PUNCT
ejpam-4693	493	1	a	a	DET
ejpam-4693	493	2	class	class	NOUN
ejpam-4693	493	3	of	of	ADP
ejpam-4693	493	4	runge	runge	NOUN
ejpam-4693	493	5	–	–	PUNCT
ejpam-4693	493	6	kutta	kutta	NOUN
ejpam-4693	493	7	methods	method	NOUN
ejpam-4693	493	8	for	for	ADP
ejpam-4693	493	9	nonlinear	nonlinear	PROPN
ejpam-4693	493	10	volterra	volterra	PROPN
ejpam-4693	493	11	integral	integral	ADJ
ejpam-4693	493	12	equations	equation	NOUN
ejpam-4693	493	13	of	of	ADP
ejpam-4693	493	14	the	the	DET
ejpam-4693	493	15	second	second	ADJ
ejpam-4693	493	16	kind	kind	NOUN
ejpam-4693	493	17	with	with	ADP
ejpam-4693	493	18	singular	singular	ADJ
ejpam-4693	493	19	kernels	kernel	NOUN
ejpam-4693	493	20	.	.	PUNCT
ejpam-4693	494	1	advances	advance	NOUN
ejpam-4693	494	2	in	in	ADP
ejpam-4693	494	3	difference	difference	NOUN
ejpam-4693	494	4	equations	equation	NOUN
ejpam-4693	494	5	,	,	PUNCT
ejpam-4693	494	6	2018(1):1–19	2018(1):1–19	NOUN
ejpam-4693	494	7	,	,	PUNCT
ejpam-4693	494	8	2018	2018	NUM
ejpam-4693	494	9	.	.	PUNCT
ejpam-4693	495	1	[	[	X
ejpam-4693	495	2	30	30	NUM
ejpam-4693	495	3	]	]	X
ejpam-4693	495	4	pedram	pedram	NOUN
ejpam-4693	495	5	khaneh	khaneh	PROPN
ejpam-4693	495	6	masjedi	masjedi	PROPN
ejpam-4693	495	7	and	and	CCONJ
ejpam-4693	495	8	paul	paul	PROPN
ejpam-4693	495	9	m	m	PROPN
ejpam-4693	495	10	weaver	weaver	PROPN
ejpam-4693	495	11	.	.	PUNCT
ejpam-4693	496	1	analytical	analytical	ADJ
ejpam-4693	496	2	solution	solution	NOUN
ejpam-4693	496	3	for	for	ADP
ejpam-4693	496	4	arbitrary	arbitrary	ADJ
ejpam-4693	496	5	large	large	ADJ
ejpam-4693	496	6	deflection	deflection	NOUN
ejpam-4693	496	7	of	of	ADP
ejpam-4693	496	8	geometrically	geometrically	ADV
ejpam-4693	496	9	exact	exact	ADJ
ejpam-4693	496	10	beams	beam	NOUN
ejpam-4693	496	11	using	use	VERB
ejpam-4693	496	12	the	the	DET
ejpam-4693	496	13	homotopy	homotopy	NOUN
ejpam-4693	496	14	analysis	analysis	NOUN
ejpam-4693	496	15	method	method	NOUN
ejpam-4693	496	16	.	.	PUNCT
ejpam-4693	497	1	applied	apply	VERB
ejpam-4693	497	2	mathematical	mathematical	ADJ
ejpam-4693	497	3	modelling	modelling	NOUN
ejpam-4693	497	4	,	,	PUNCT
ejpam-4693	497	5	103:516–542	103:516–542	NUM
ejpam-4693	497	6	,	,	PUNCT
ejpam-4693	497	7	2022	2022	NUM
ejpam-4693	497	8	.	.	PUNCT
ejpam-4693	498	1	[	[	X
ejpam-4693	498	2	31	31	NUM
ejpam-4693	498	3	]	]	X
ejpam-4693	498	4	m	m	VERB
ejpam-4693	498	5	matinfar	matinfar	ADJ
ejpam-4693	498	6	,	,	PUNCT
ejpam-4693	498	7	m	m	AUX
ejpam-4693	498	8	saeidy	saeidy	VERB
ejpam-4693	498	9	,	,	PUNCT
ejpam-4693	498	10	and	and	CCONJ
ejpam-4693	498	11	j	j	PROPN
ejpam-4693	498	12	vahidi	vahidi	PROPN
ejpam-4693	498	13	.	.	PUNCT
ejpam-4693	499	1	application	application	NOUN
ejpam-4693	499	2	of	of	ADP
ejpam-4693	499	3	homotopy	homotopy	NOUN
ejpam-4693	499	4	analysis	analysis	NOUN
ejpam-4693	499	5	method	method	NOUN
ejpam-4693	499	6	for	for	ADP
ejpam-4693	499	7	solving	solve	VERB
ejpam-4693	499	8	systems	system	NOUN
ejpam-4693	499	9	of	of	ADP
ejpam-4693	499	10	volterra	volterra	PROPN
ejpam-4693	499	11	integral	integral	ADJ
ejpam-4693	499	12	equations	equation	NOUN
ejpam-4693	499	13	.	.	PUNCT
ejpam-4693	500	1	advances	advance	NOUN
ejpam-4693	500	2	in	in	ADP
ejpam-4693	500	3	applied	apply	VERB
ejpam-4693	500	4	mathematics	mathematic	NOUN
ejpam-4693	500	5	and	and	CCONJ
ejpam-4693	500	6	mechanics	mechanic	NOUN
ejpam-4693	500	7	,	,	PUNCT
ejpam-4693	500	8	4(1):36–45	4(1):36–45	NUM
ejpam-4693	500	9	,	,	PUNCT
ejpam-4693	500	10	2012	2012	NUM
ejpam-4693	500	11	.	.	PUNCT
ejpam-4693	501	1	[	[	X
ejpam-4693	501	2	32	32	NUM
ejpam-4693	501	3	]	]	X
ejpam-4693	501	4	saddam	saddam	PROPN
ejpam-4693	501	5	mollah	mollah	PROPN
ejpam-4693	501	6	,	,	PUNCT
ejpam-4693	501	7	santosh	santosh	PROPN
ejpam-4693	501	8	biswas	biswas	PROPN
ejpam-4693	501	9	,	,	PUNCT
ejpam-4693	501	10	and	and	CCONJ
ejpam-4693	501	11	subhas	subha	VERB
ejpam-4693	501	12	khajanchi	khajanchi	PROPN
ejpam-4693	501	13	.	.	PUNCT
ejpam-4693	502	1	impact	impact	NOUN
ejpam-4693	502	2	of	of	ADP
ejpam-4693	502	3	awareness	awareness	NOUN
ejpam-4693	502	4	program	program	NOUN
ejpam-4693	502	5	on	on	ADP
ejpam-4693	502	6	diabetes	diabetes	NOUN
ejpam-4693	502	7	mellitus	mellitus	NOUN
ejpam-4693	502	8	described	describe	VERB
ejpam-4693	502	9	by	by	ADP
ejpam-4693	502	10	fractional	fractional	ADJ
ejpam-4693	502	11	-	-	PUNCT
ejpam-4693	502	12	order	order	NOUN
ejpam-4693	502	13	model	model	NOUN
ejpam-4693	502	14	solving	solving	NOUN
ejpam-4693	502	15	by	by	ADP
ejpam-4693	502	16	homotopy	homotopy	NOUN
ejpam-4693	502	17	analysis	analysis	NOUN
ejpam-4693	502	18	method	method	NOUN
ejpam-4693	502	19	.	.	PUNCT
ejpam-4693	503	1	ricerche	ricerche	PROPN
ejpam-4693	503	2	di	di	PROPN
ejpam-4693	503	3	matematica	matematica	PROPN
ejpam-4693	503	4	,	,	PUNCT
ejpam-4693	503	5	pages	page	NOUN
ejpam-4693	503	6	1–26	1–26	NOUN
ejpam-4693	503	7	,	,	PUNCT
ejpam-4693	503	8	2022	2022	NUM
ejpam-4693	503	9	.	.	PUNCT
ejpam-4693	504	1	[	[	X
ejpam-4693	504	2	33	33	NUM
ejpam-4693	504	3	]	]	X
ejpam-4693	504	4	surya	surya	PROPN
ejpam-4693	504	5	kanta	kanta	PROPN
ejpam-4693	504	6	mondal	mondal	PROPN
ejpam-4693	504	7	and	and	CCONJ
ejpam-4693	504	8	dulal	dulal	PROPN
ejpam-4693	504	9	pal	pal	NOUN
ejpam-4693	504	10	.	.	PUNCT
ejpam-4693	505	1	computational	computational	ADJ
ejpam-4693	505	2	analysis	analysis	NOUN
ejpam-4693	505	3	of	of	ADP
ejpam-4693	505	4	bioconvective	bioconvective	ADJ
ejpam-4693	505	5	flow	flow	NOUN
ejpam-4693	505	6	of	of	ADP
ejpam-4693	505	7	nanofluid	nanofluid	NOUN
ejpam-4693	505	8	containing	contain	VERB
ejpam-4693	505	9	gyrotactic	gyrotactic	ADJ
ejpam-4693	505	10	microorganisms	microorganism	NOUN
ejpam-4693	505	11	over	over	ADP
ejpam-4693	505	12	a	a	DET
ejpam-4693	505	13	nonlinear	nonlinear	ADJ
ejpam-4693	505	14	stretching	stretch	VERB
ejpam-4693	505	15	sheet	sheet	NOUN
ejpam-4693	505	16	with	with	ADP
ejpam-4693	505	17	variable	variable	ADJ
ejpam-4693	505	18	viscosity	viscosity	NOUN
ejpam-4693	505	19	using	use	VERB
ejpam-4693	505	20	ham	ham	PROPN
ejpam-4693	505	21	.	.	PUNCT
ejpam-4693	506	1	journal	journal	PROPN
ejpam-4693	506	2	of	of	ADP
ejpam-4693	506	3	computational	computational	ADJ
ejpam-4693	506	4	design	design	NOUN
ejpam-4693	506	5	and	and	CCONJ
ejpam-4693	506	6	engineering	engineering	NOUN
ejpam-4693	506	7	,	,	PUNCT
ejpam-4693	506	8	7(2):251–267	7(2):251–267	NUM
ejpam-4693	506	9	,	,	PUNCT
ejpam-4693	506	10	2020	2020	NUM
ejpam-4693	506	11	.	.	PUNCT
ejpam-4693	507	1	[	[	X
ejpam-4693	507	2	34	34	NUM
ejpam-4693	507	3	]	]	X
ejpam-4693	507	4	zaid	zaid	PROPN
ejpam-4693	507	5	m	m	PROPN
ejpam-4693	507	6	odibat	odibat	NOUN
ejpam-4693	507	7	.	.	PUNCT
ejpam-4693	508	1	a	a	DET
ejpam-4693	508	2	study	study	NOUN
ejpam-4693	508	3	on	on	ADP
ejpam-4693	508	4	the	the	DET
ejpam-4693	508	5	convergence	convergence	NOUN
ejpam-4693	508	6	of	of	ADP
ejpam-4693	508	7	homotopy	homotopy	NOUN
ejpam-4693	508	8	analysis	analysis	NOUN
ejpam-4693	508	9	method	method	NOUN
ejpam-4693	508	10	.	.	PUNCT
ejpam-4693	509	1	applied	apply	VERB
ejpam-4693	509	2	mathematics	mathematic	NOUN
ejpam-4693	509	3	and	and	CCONJ
ejpam-4693	509	4	computation	computation	NOUN
ejpam-4693	509	5	,	,	PUNCT
ejpam-4693	509	6	217(2):782–789	217(2):782–789	ADV
ejpam-4693	509	7	,	,	PUNCT
ejpam-4693	509	8	2010	2010	NUM
ejpam-4693	509	9	.	.	PUNCT
ejpam-4693	510	1	[	[	X
ejpam-4693	510	2	35	35	NUM
ejpam-4693	510	3	]	]	SYM
ejpam-4693	510	4	mm	mm	PROPN
ejpam-4693	510	5	rashidi	rashidi	NOUN
ejpam-4693	510	6	,	,	PUNCT
ejpam-4693	510	7	sa	sa	PROPN
ejpam-4693	510	8	mohimanian	mohimanian	PROPN
ejpam-4693	510	9	pour	pour	PROPN
ejpam-4693	510	10	,	,	PUNCT
ejpam-4693	510	11	t	t	PROPN
ejpam-4693	510	12	hayat	hayat	NOUN
ejpam-4693	510	13	,	,	PUNCT
ejpam-4693	510	14	and	and	CCONJ
ejpam-4693	510	15	s	s	VERB
ejpam-4693	510	16	obaidat	obaidat	NOUN
ejpam-4693	510	17	.	.	PUNCT
ejpam-4693	511	1	analytic	analytic	ADJ
ejpam-4693	511	2	approximate	approximate	ADJ
ejpam-4693	511	3	solutions	solution	NOUN
ejpam-4693	511	4	for	for	ADP
ejpam-4693	511	5	steady	steady	ADJ
ejpam-4693	511	6	flow	flow	NOUN
ejpam-4693	511	7	over	over	ADP
ejpam-4693	511	8	a	a	DET
ejpam-4693	511	9	rotating	rotate	VERB
ejpam-4693	511	10	disk	disk	NOUN
ejpam-4693	511	11	in	in	ADP
ejpam-4693	511	12	porous	porous	ADJ
ejpam-4693	511	13	medium	medium	NOUN
ejpam-4693	511	14	with	with	ADP
ejpam-4693	511	15	heat	heat	NOUN
ejpam-4693	511	16	transfer	transfer	NOUN
ejpam-4693	511	17	by	by	ADP
ejpam-4693	511	18	homotopy	homotopy	NOUN
ejpam-4693	511	19	analysis	analysis	NOUN
ejpam-4693	511	20	method	method	NOUN
ejpam-4693	511	21	.	.	PUNCT
ejpam-4693	512	1	computers	computer	NOUN
ejpam-4693	512	2	&	&	CCONJ
ejpam-4693	512	3	fluids	fluid	NOUN
ejpam-4693	512	4	,	,	PUNCT
ejpam-4693	512	5	54:1–9	54:1–9	NUM
ejpam-4693	512	6	,	,	PUNCT
ejpam-4693	512	7	2012	2012	NUM
ejpam-4693	512	8	.	.	PUNCT
ejpam-4693	513	1	[	[	X
ejpam-4693	513	2	36	36	NUM
ejpam-4693	513	3	]	]	PUNCT
ejpam-4693	513	4	rostam	rostam	NOUN
ejpam-4693	513	5	k	k	PROPN
ejpam-4693	513	6	saeed	saeed	PROPN
ejpam-4693	513	7	and	and	CCONJ
ejpam-4693	513	8	c	c	AUX
ejpam-4693	513	9	ahmed	ahmed	PROPN
ejpam-4693	513	10	.	.	PUNCT
ejpam-4693	513	11	approximate	approximate	ADJ
ejpam-4693	513	12	solution	solution	NOUN
ejpam-4693	513	13	for	for	ADP
ejpam-4693	513	14	the	the	DET
ejpam-4693	513	15	system	system	NOUN
ejpam-4693	513	16	of	of	ADP
ejpam-4693	513	17	non	non	ADJ
ejpam-4693	513	18	-	-	ADJ
ejpam-4693	513	19	linear	linear	ADJ
ejpam-4693	513	20	volterra	volterra	NOUN
ejpam-4693	513	21	integral	integral	ADJ
ejpam-4693	513	22	equations	equation	NOUN
ejpam-4693	513	23	of	of	ADP
ejpam-4693	513	24	the	the	DET
ejpam-4693	513	25	second	second	ADJ
ejpam-4693	513	26	kind	kind	NOUN
ejpam-4693	513	27	by	by	ADP
ejpam-4693	513	28	using	use	VERB
ejpam-4693	513	29	block	block	NOUN
ejpam-4693	513	30	-	-	PUNCT
ejpam-4693	513	31	by	by	ADP
ejpam-4693	513	32	-	-	PUNCT
ejpam-4693	513	33	block	block	NOUN
ejpam-4693	513	34	method	method	NOUN
ejpam-4693	513	35	.	.	PUNCT
ejpam-4693	514	1	australian	australian	ADJ
ejpam-4693	514	2	journal	journal	NOUN
ejpam-4693	514	3	of	of	ADP
ejpam-4693	514	4	basic	basic	ADJ
ejpam-4693	514	5	and	and	CCONJ
ejpam-4693	514	6	applied	applied	ADJ
ejpam-4693	514	7	sciences	science	NOUN
ejpam-4693	514	8	,	,	PUNCT
ejpam-4693	514	9	2(1):114–124	2(1):114–124	NOUN
ejpam-4693	514	10	,	,	PUNCT
ejpam-4693	514	11	2008	2008	NUM
ejpam-4693	514	12	.	.	PUNCT
ejpam-4693	515	1	[	[	X
ejpam-4693	515	2	37	37	NUM
ejpam-4693	515	3	]	]	X
ejpam-4693	515	4	niyazi	niyazi	PROPN
ejpam-4693	515	5	şahın	şahın	PROPN
ejpam-4693	515	6	,	,	PUNCT
ejpam-4693	515	7	şuayip	şuayip	NOUN
ejpam-4693	515	8	yüzbaşı	yüzbaşı	NOUN
ejpam-4693	515	9	,	,	PUNCT
ejpam-4693	515	10	and	and	CCONJ
ejpam-4693	515	11	mustafa	mustafa	PROPN
ejpam-4693	515	12	gülsu	gülsu	PROPN
ejpam-4693	515	13	.	.	PUNCT
ejpam-4693	516	1	a	a	DET
ejpam-4693	516	2	collocation	collocation	NOUN
ejpam-4693	516	3	approach	approach	NOUN
ejpam-4693	516	4	for	for	ADP
ejpam-4693	516	5	solving	solve	VERB
ejpam-4693	516	6	systems	system	NOUN
ejpam-4693	516	7	of	of	ADP
ejpam-4693	516	8	linear	linear	PROPN
ejpam-4693	516	9	volterra	volterra	PROPN
ejpam-4693	516	10	integral	integral	ADJ
ejpam-4693	516	11	equations	equation	NOUN
ejpam-4693	516	12	with	with	ADP
ejpam-4693	516	13	variable	variable	ADJ
ejpam-4693	516	14	coefficients	coefficient	NOUN
ejpam-4693	516	15	.	.	PUNCT
ejpam-4693	517	1	computers	computer	NOUN
ejpam-4693	517	2	&	&	CCONJ
ejpam-4693	517	3	mathematics	mathematics	PROPN
ejpam-4693	517	4	with	with	ADP
ejpam-4693	517	5	applications	application	NOUN
ejpam-4693	517	6	,	,	PUNCT
ejpam-4693	517	7	62(2):755–769	62(2):755–769	NOUN
ejpam-4693	517	8	,	,	PUNCT
ejpam-4693	517	9	2011	2011	NUM
ejpam-4693	517	10	.	.	PUNCT
ejpam-4693	518	1	[	[	X
ejpam-4693	518	2	38	38	NUM
ejpam-4693	518	3	]	]	PUNCT
ejpam-4693	518	4	sr	sr	PROPN
ejpam-4693	518	5	saratha	saratha	PROPN
ejpam-4693	518	6	,	,	PUNCT
ejpam-4693	518	7	m	m	PROPN
ejpam-4693	518	8	bagyalakshmi	bagyalakshmi	NOUN
ejpam-4693	518	9	,	,	PUNCT
ejpam-4693	518	10	and	and	CCONJ
ejpam-4693	518	11	g	g	PROPN
ejpam-4693	518	12	sai	sai	PROPN
ejpam-4693	518	13	sundara	sundara	PROPN
ejpam-4693	518	14	krishnan	krishnan	PROPN
ejpam-4693	518	15	.	.	PUNCT
ejpam-4693	519	1	solving	solve	VERB
ejpam-4693	519	2	non	non	ADJ
ejpam-4693	519	3	linear	linear	PROPN
ejpam-4693	519	4	differential	differential	ADJ
ejpam-4693	519	5	equations	equation	NOUN
ejpam-4693	519	6	by	by	ADP
ejpam-4693	519	7	using	use	VERB
ejpam-4693	519	8	ag	ag	PROPN
ejpam-4693	519	9	-	-	PUNCT
ejpam-4693	519	10	homotopy	homotopy	NOUN
ejpam-4693	519	11	analysis	analysis	NOUN
ejpam-4693	519	12	method	method	NOUN
ejpam-4693	519	13	.	.	PUNCT
ejpam-4693	520	1	in	in	ADP
ejpam-4693	520	2	journal	journal	PROPN
ejpam-4693	520	3	of	of	ADP
ejpam-4693	520	4	physics	physics	PROPN
ejpam-4693	520	5	:	:	PUNCT
ejpam-4693	520	6	conference	conference	NOUN
ejpam-4693	520	7	series	series	NOUN
ejpam-4693	520	8	,	,	PUNCT
ejpam-4693	520	9	volume	volume	NOUN
ejpam-4693	520	10	1850	1850	NUM
ejpam-4693	520	11	,	,	PUNCT
ejpam-4693	520	12	page	page	NOUN
ejpam-4693	520	13	012065	012065	NUM
ejpam-4693	520	14	.	.	PUNCT
ejpam-4693	521	1	iop	iop	NOUN
ejpam-4693	521	2	publishing	publishing	NOUN
ejpam-4693	521	3	,	,	PUNCT
ejpam-4693	521	4	2021	2021	NUM
ejpam-4693	521	5	.	.	PUNCT
ejpam-4693	522	1	[	[	X
ejpam-4693	522	2	39	39	NUM
ejpam-4693	522	3	]	]	PUNCT
ejpam-4693	522	4	s	s	AUX
ejpam-4693	522	5	sarwar	sarwar	NOUN
ejpam-4693	522	6	and	and	CCONJ
ejpam-4693	522	7	mm	mm	PROPN
ejpam-4693	522	8	rashidi	rashidi	NOUN
ejpam-4693	522	9	.	.	PUNCT
ejpam-4693	523	1	approximate	approximate	ADJ
ejpam-4693	523	2	solution	solution	NOUN
ejpam-4693	523	3	of	of	ADP
ejpam-4693	523	4	two	two	NUM
ejpam-4693	523	5	-	-	PUNCT
ejpam-4693	523	6	term	term	NOUN
ejpam-4693	523	7	fractional	fractional	ADJ
ejpam-4693	523	8	-	-	PUNCT
ejpam-4693	523	9	order	order	NOUN
ejpam-4693	523	10	diffusion	diffusion	NOUN
ejpam-4693	523	11	,	,	PUNCT
ejpam-4693	523	12	wave	wave	NOUN
ejpam-4693	523	13	-	-	PUNCT
ejpam-4693	523	14	diffusion	diffusion	NOUN
ejpam-4693	523	15	,	,	PUNCT
ejpam-4693	523	16	and	and	CCONJ
ejpam-4693	523	17	telegraph	telegraph	NOUN
ejpam-4693	523	18	models	model	NOUN
ejpam-4693	523	19	arising	arise	VERB
ejpam-4693	523	20	in	in	ADP
ejpam-4693	523	21	mathematical	mathematical	ADJ
ejpam-4693	523	22	physics	physics	NOUN
ejpam-4693	523	23	using	use	VERB
ejpam-4693	523	24	optimal	optimal	ADJ
ejpam-4693	523	25	homotopy	homotopy	NOUN
ejpam-4693	523	26	asymptotic	asymptotic	ADJ
ejpam-4693	523	27	method	method	NOUN
ejpam-4693	523	28	.	.	PUNCT
ejpam-4693	524	1	waves	wave	NOUN
ejpam-4693	524	2	in	in	ADP
ejpam-4693	524	3	random	random	ADJ
ejpam-4693	524	4	and	and	CCONJ
ejpam-4693	524	5	complex	complex	ADJ
ejpam-4693	524	6	media	medium	NOUN
ejpam-4693	524	7	,	,	PUNCT
ejpam-4693	524	8	26(3):365	26(3):365	NUM
ejpam-4693	524	9	–	–	PUNCT
ejpam-4693	524	10	382	382	NUM
ejpam-4693	524	11	,	,	PUNCT
ejpam-4693	524	12	2016	2016	NUM
ejpam-4693	524	13	.	.	PUNCT
ejpam-4693	525	1	[	[	X
ejpam-4693	525	2	40	40	NUM
ejpam-4693	525	3	]	]	X
ejpam-4693	525	4	r	r	NOUN
ejpam-4693	525	5	shanthi	shanthi	PROPN
ejpam-4693	525	6	,	,	PUNCT
ejpam-4693	525	7	t	t	PROPN
ejpam-4693	525	8	iswarya	iswarya	PROPN
ejpam-4693	525	9	,	,	PUNCT
ejpam-4693	525	10	j	j	PROPN
ejpam-4693	525	11	visuvasam	visuvasam	NOUN
ejpam-4693	525	12	,	,	PUNCT
ejpam-4693	525	13	l	l	NOUN
ejpam-4693	525	14	rajendran	rajendran	NOUN
ejpam-4693	525	15	,	,	PUNCT
ejpam-4693	525	16	and	and	CCONJ
ejpam-4693	525	17	michael	michael	PROPN
ejpam-4693	525	18	eg	eg	PROPN
ejpam-4693	525	19	lyons	lyons	PROPN
ejpam-4693	525	20	.	.	PUNCT
ejpam-4693	526	1	voltammetric	voltammetric	ADJ
ejpam-4693	526	2	and	and	CCONJ
ejpam-4693	526	3	mathematical	mathematical	ADJ
ejpam-4693	526	4	analysis	analysis	NOUN
ejpam-4693	526	5	of	of	ADP
ejpam-4693	526	6	adsorption	adsorption	NOUN
ejpam-4693	526	7	of	of	ADP
ejpam-4693	526	8	enzymes	enzyme	NOUN
ejpam-4693	526	9	at	at	ADP
ejpam-4693	526	10	rotating	rotate	VERB
ejpam-4693	526	11	disk	disk	NOUN
ejpam-4693	526	12	electrode	electrode	NOUN
ejpam-4693	526	13	.	.	PUNCT
ejpam-4693	527	1	int	int	NOUN
ejpam-4693	527	2	.	.	PUNCT
ejpam-4693	528	1	j.	j.	PROPN
ejpam-4693	528	2	electrochem	electrochem	PROPN
ejpam-4693	528	3	.	.	PUNCT
ejpam-4693	529	1	sci	sci	PROPN
ejpam-4693	529	2	,	,	PUNCT
ejpam-4693	529	3	17(220433):2	17(220433):2	NUM
ejpam-4693	529	4	,	,	PUNCT
ejpam-4693	529	5	2022	2022	NUM
ejpam-4693	529	6	.	.	PUNCT
ejpam-4693	530	1	references	reference	NOUN
ejpam-4693	530	2	892	892	NUM
ejpam-4693	531	1	[	[	X
ejpam-4693	531	2	41	41	NUM
ejpam-4693	531	3	]	]	X
ejpam-4693	531	4	liao	liao	PROPN
ejpam-4693	531	5	shijun	shijun	PROPN
ejpam-4693	531	6	.	.	PUNCT
ejpam-4693	532	1	homotopy	homotopy	VERB
ejpam-4693	532	2	analysis	analysis	NOUN
ejpam-4693	532	3	method	method	NOUN
ejpam-4693	532	4	:	:	PUNCT
ejpam-4693	532	5	a	a	DET
ejpam-4693	532	6	new	new	ADJ
ejpam-4693	532	7	analytic	analytic	ADJ
ejpam-4693	532	8	method	method	NOUN
ejpam-4693	532	9	for	for	ADP
ejpam-4693	532	10	nonlinear	nonlinear	ADJ
ejpam-4693	532	11	problems	problem	NOUN
ejpam-4693	532	12	.	.	PUNCT
ejpam-4693	533	1	applied	apply	VERB
ejpam-4693	533	2	mathematics	mathematic	NOUN
ejpam-4693	533	3	and	and	CCONJ
ejpam-4693	533	4	mechanics	mechanic	NOUN
ejpam-4693	533	5	,	,	PUNCT
ejpam-4693	533	6	19(10):957–962	19(10):957–962	NUM
ejpam-4693	533	7	,	,	PUNCT
ejpam-4693	533	8	1998	1998	NUM
ejpam-4693	533	9	.	.	PUNCT
ejpam-4693	534	1	[	[	X
ejpam-4693	534	2	42	42	NUM
ejpam-4693	534	3	]	]	X
ejpam-4693	534	4	mustafa	mustafa	PROPN
ejpam-4693	534	5	turkyilmazoglu	turkyilmazoglu	PROPN
ejpam-4693	534	6	.	.	PUNCT
ejpam-4693	535	1	convergence	convergence	NOUN
ejpam-4693	535	2	of	of	ADP
ejpam-4693	535	3	the	the	DET
ejpam-4693	535	4	homotopy	homotopy	NOUN
ejpam-4693	535	5	analysis	analysis	NOUN
ejpam-4693	535	6	method	method	NOUN
ejpam-4693	535	7	.	.	PUNCT
ejpam-4693	536	1	arxiv	arxiv	PROPN
ejpam-4693	536	2	preprint	preprint	PROPN
ejpam-4693	536	3	arxiv:1006.4460	arxiv:1006.4460	PROPN
ejpam-4693	536	4	,	,	PUNCT
ejpam-4693	536	5	2010	2010	NUM
ejpam-4693	536	6	.	.	PUNCT
ejpam-4693	537	1	[	[	X
ejpam-4693	537	2	43	43	NUM
ejpam-4693	537	3	]	]	X
ejpam-4693	537	4	r	r	X
ejpam-4693	537	5	umadevi	umadevi	ADJ
ejpam-4693	537	6	,	,	PUNCT
ejpam-4693	537	7	j	j	PROPN
ejpam-4693	537	8	visuvasam	visuvasam	NOUN
ejpam-4693	537	9	,	,	PUNCT
ejpam-4693	537	10	k	k	PROPN
ejpam-4693	537	11	venugopal	venugopal	NOUN
ejpam-4693	537	12	,	,	PUNCT
ejpam-4693	537	13	and	and	CCONJ
ejpam-4693	537	14	l	l	NOUN
ejpam-4693	537	15	rajendran	rajendran	NOUN
ejpam-4693	537	16	.	.	PUNCT
ejpam-4693	538	1	mathematical	mathematical	ADJ
ejpam-4693	538	2	models	model	NOUN
ejpam-4693	538	3	for	for	ADP
ejpam-4693	538	4	ece	ece	PROPN
ejpam-4693	538	5	reactions	reaction	NOUN
ejpam-4693	538	6	at	at	ADP
ejpam-4693	538	7	rotating	rotate	VERB
ejpam-4693	538	8	disk	disk	NOUN
ejpam-4693	538	9	electrodes	electrode	NOUN
ejpam-4693	538	10	using	use	VERB
ejpam-4693	538	11	homotopy	homotopy	NOUN
ejpam-4693	538	12	analysis	analysis	NOUN
ejpam-4693	538	13	method	method	NOUN
ejpam-4693	538	14	.	.	PUNCT
ejpam-4693	539	1	in	in	ADP
ejpam-4693	539	2	aip	aip	PROPN
ejpam-4693	539	3	conference	conference	NOUN
ejpam-4693	539	4	proceedings	proceeding	NOUN
ejpam-4693	539	5	,	,	PUNCT
ejpam-4693	539	6	volume	volume	NOUN
ejpam-4693	539	7	2277	2277	NUM
ejpam-4693	539	8	,	,	PUNCT
ejpam-4693	539	9	page	page	NOUN
ejpam-4693	539	10	130013	130013	NUM
ejpam-4693	539	11	.	.	PUNCT
ejpam-4693	540	1	aip	aip	PROPN
ejpam-4693	540	2	publishing	publishing	PROPN
ejpam-4693	540	3	llc	llc	PROPN
ejpam-4693	540	4	,	,	PUNCT
ejpam-4693	540	5	2020	2020	NUM
ejpam-4693	540	6	.	.	PUNCT
ejpam-4693	541	1	[	[	X
ejpam-4693	541	2	44	44	NUM
ejpam-4693	541	3	]	]	PUNCT
ejpam-4693	541	4	robert	robert	PROPN
ejpam-4693	541	5	a	a	DET
ejpam-4693	541	6	van	van	PROPN
ejpam-4693	541	7	gorder	gorder	NOUN
ejpam-4693	541	8	and	and	CCONJ
ejpam-4693	541	9	k	k	PROPN
ejpam-4693	541	10	vajravelu	vajravelu	NOUN
ejpam-4693	541	11	.	.	PUNCT
ejpam-4693	542	1	on	on	ADP
ejpam-4693	542	2	the	the	DET
ejpam-4693	542	3	selection	selection	NOUN
ejpam-4693	542	4	of	of	ADP
ejpam-4693	542	5	auxiliary	auxiliary	ADJ
ejpam-4693	542	6	functions	function	NOUN
ejpam-4693	542	7	,	,	PUNCT
ejpam-4693	542	8	operators	operator	NOUN
ejpam-4693	542	9	,	,	PUNCT
ejpam-4693	542	10	and	and	CCONJ
ejpam-4693	542	11	convergence	convergence	NOUN
ejpam-4693	542	12	control	control	NOUN
ejpam-4693	542	13	parameters	parameter	NOUN
ejpam-4693	542	14	in	in	ADP
ejpam-4693	542	15	the	the	DET
ejpam-4693	542	16	application	application	NOUN
ejpam-4693	542	17	of	of	ADP
ejpam-4693	542	18	the	the	DET
ejpam-4693	542	19	homotopy	homotopy	NOUN
ejpam-4693	542	20	analysis	analysis	NOUN
ejpam-4693	542	21	method	method	NOUN
ejpam-4693	542	22	to	to	PART
ejpam-4693	542	23	nonlinear	nonlinear	ADJ
ejpam-4693	542	24	differential	differential	ADJ
ejpam-4693	542	25	equations	equation	NOUN
ejpam-4693	542	26	:	:	PUNCT
ejpam-4693	542	27	a	a	DET
ejpam-4693	542	28	general	general	ADJ
ejpam-4693	542	29	approach	approach	NOUN
ejpam-4693	542	30	.	.	PUNCT
ejpam-4693	543	1	communications	communication	NOUN
ejpam-4693	543	2	in	in	ADP
ejpam-4693	543	3	nonlinear	nonlinear	ADJ
ejpam-4693	543	4	science	science	NOUN
ejpam-4693	543	5	and	and	CCONJ
ejpam-4693	543	6	numerical	numerical	PROPN
ejpam-4693	543	7	simulation	simulation	PROPN
ejpam-4693	543	8	,	,	PUNCT
ejpam-4693	543	9	14(12):4078–4089	14(12):4078–4089	NUM
ejpam-4693	543	10	,	,	PUNCT
ejpam-4693	543	11	2009	2009	NUM
ejpam-4693	543	12	.	.	PUNCT
ejpam-4693	544	1	[	[	X
ejpam-4693	544	2	45	45	NUM
ejpam-4693	544	3	]	]	PUNCT
ejpam-4693	544	4	lalchand	lalchand	NOUN
ejpam-4693	544	5	verma	verma	PROPN
ejpam-4693	544	6	and	and	CCONJ
ejpam-4693	544	7	ramakanta	ramakanta	PROPN
ejpam-4693	544	8	meher	meher	PROPN
ejpam-4693	544	9	.	.	PUNCT
ejpam-4693	545	1	effect	effect	NOUN
ejpam-4693	545	2	of	of	ADP
ejpam-4693	545	3	heat	heat	NOUN
ejpam-4693	545	4	transfer	transfer	NOUN
ejpam-4693	545	5	on	on	ADP
ejpam-4693	545	6	jeffery	jeffery	PROPN
ejpam-4693	545	7	–	–	PUNCT
ejpam-4693	545	8	hamel	hamel	PROPN
ejpam-4693	545	9	cu	cu	PROPN
ejpam-4693	545	10	/	/	SYM
ejpam-4693	545	11	ag	ag	PROPN
ejpam-4693	545	12	–	–	PUNCT
ejpam-4693	545	13	water	water	NOUN
ejpam-4693	545	14	nanofluid	nanofluid	NOUN
ejpam-4693	545	15	flow	flow	NOUN
ejpam-4693	545	16	with	with	ADP
ejpam-4693	545	17	uncertain	uncertain	ADJ
ejpam-4693	545	18	volume	volume	NOUN
ejpam-4693	545	19	fraction	fraction	NOUN
ejpam-4693	545	20	using	use	VERB
ejpam-4693	545	21	the	the	DET
ejpam-4693	545	22	double	double	ADJ
ejpam-4693	545	23	parametric	parametric	ADJ
ejpam-4693	545	24	fuzzy	fuzzy	ADJ
ejpam-4693	545	25	homotopy	homotopy	NOUN
ejpam-4693	545	26	analysis	analysis	NOUN
ejpam-4693	545	27	method	method	NOUN
ejpam-4693	545	28	.	.	PUNCT
ejpam-4693	546	1	the	the	DET
ejpam-4693	546	2	european	european	PROPN
ejpam-4693	546	3	physical	physical	PROPN
ejpam-4693	546	4	journal	journal	PROPN
ejpam-4693	546	5	plus	plus	CCONJ
ejpam-4693	546	6	,	,	PUNCT
ejpam-4693	546	7	137(3):1	137(3):1	NUM
ejpam-4693	546	8	–	–	PUNCT
ejpam-4693	546	9	20	20	NUM
ejpam-4693	546	10	,	,	PUNCT
ejpam-4693	546	11	2022	2022	NUM
ejpam-4693	546	12	.	.	PUNCT
ejpam-4693	547	1	[	[	X
ejpam-4693	547	2	46	46	NUM
ejpam-4693	547	3	]	]	X
ejpam-4693	547	4	e	e	X
ejpam-4693	547	5	arul	arul	NOUN
ejpam-4693	547	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4693	547	7	,	,	PUNCT
ejpam-4693	547	8	ss	ss	PROPN
ejpam-4693	547	9	santra	santra	PROPN
ejpam-4693	547	10	,	,	PUNCT
ejpam-4693	547	11	t	t	PROPN
ejpam-4693	547	12	botmart	botmart	NOUN
ejpam-4693	547	13	,	,	PUNCT
ejpam-4693	547	14	h	h	NOUN
ejpam-4693	547	15	alotaibi	alotaibi	NOUN
ejpam-4693	547	16	,	,	PUNCT
ejpam-4693	547	17	gb	gb	ADP
ejpam-4693	547	18	loganathan	loganathan	PROPN
ejpam-4693	547	19	,	,	PUNCT
ejpam-4693	547	20	m	m	PROPN
ejpam-4693	547	21	kannan	kannan	PROPN
ejpam-4693	547	22	,	,	PUNCT
ejpam-4693	547	23	j	j	PROPN
ejpam-4693	547	24	visuvasam	visuvasam	NOUN
ejpam-4693	547	25	,	,	PUNCT
ejpam-4693	547	26	and	and	CCONJ
ejpam-4693	547	27	v	v	ADP
ejpam-4693	547	28	govindan	govindan	NOUN
ejpam-4693	547	29	.	.	PUNCT
ejpam-4693	548	1	analysis	analysis	NOUN
ejpam-4693	548	2	of	of	ADP
ejpam-4693	548	3	the	the	DET
ejpam-4693	548	4	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4693	548	5	flow	flow	NOUN
ejpam-4693	548	6	in	in	ADP
ejpam-4693	548	7	a	a	DET
ejpam-4693	548	8	porous	porous	ADJ
ejpam-4693	548	9	medium	medium	NOUN
ejpam-4693	548	10	.	.	PUNCT
ejpam-4693	549	1	aims	aim	VERB
ejpam-4693	549	2	mathematics	mathematic	NOUN
ejpam-4693	549	3	,	,	PUNCT
ejpam-4693	549	4	7(8):15182–15194	7(8):15182–15194	PROPN
ejpam-4693	549	5	,	,	PUNCT
ejpam-4693	549	6	2022	2022	NUM
ejpam-4693	549	7	.	.	PUNCT
ejpam-4693	550	1	[	[	X
ejpam-4693	550	2	47	47	NUM
ejpam-4693	550	3	]	]	X
ejpam-4693	550	4	e	e	X
ejpam-4693	550	5	arul	arul	NOUN
ejpam-4693	550	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-4693	550	7	,	,	PUNCT
ejpam-4693	550	8	james	james	PROPN
ejpam-4693	550	9	visuvasam	visuvasam	PROPN
ejpam-4693	550	10	,	,	PUNCT
ejpam-4693	550	11	and	and	CCONJ
ejpam-4693	550	12	m	m	PROPN
ejpam-4693	550	13	kannan	kannan	PROPN
ejpam-4693	550	14	.	.	PUNCT
ejpam-4693	551	1	theoretical	theoretical	ADJ
ejpam-4693	551	2	analysis	analysis	NOUN
ejpam-4693	551	3	of	of	ADP
ejpam-4693	551	4	mhd	mhd	NOUN
ejpam-4693	551	5	mixed	mixed	ADJ
ejpam-4693	551	6	convection	convection	NOUN
ejpam-4693	551	7	from	from	ADP
ejpam-4693	551	8	a	a	DET
ejpam-4693	551	9	vertical	vertical	ADJ
ejpam-4693	551	10	plate	plate	NOUN
ejpam-4693	551	11	embedded	embed	VERB
ejpam-4693	551	12	in	in	ADP
ejpam-4693	551	13	a	a	DET
ejpam-4693	551	14	porous	porous	ADJ
ejpam-4693	551	15	medium	medium	NOUN
ejpam-4693	551	16	with	with	ADP
ejpam-4693	551	17	a	a	DET
ejpam-4693	551	18	convective	convective	ADJ
ejpam-4693	551	19	boundary	boundary	ADJ
ejpam-4693	551	20	condition	condition	NOUN
ejpam-4693	551	21	.	.	PUNCT
ejpam-4693	552	1	ecs	ec	NOUN
ejpam-4693	552	2	transactions	transaction	NOUN
ejpam-4693	552	3	,	,	PUNCT
ejpam-4693	552	4	107(1):18507	107(1):18507	PROPN
ejpam-4693	552	5	,	,	PUNCT
ejpam-4693	552	6	2022	2022	NUM
ejpam-4693	552	7	.	.	PUNCT
ejpam-4693	553	1	[	[	X
ejpam-4693	553	2	48	48	NUM
ejpam-4693	553	3	]	]	SYM
ejpam-4693	553	4	j	j	PROPN
ejpam-4693	553	5	visuvasam	visuvasam	PROPN
ejpam-4693	553	6	,	,	PUNCT
ejpam-4693	553	7	a	a	DET
ejpam-4693	553	8	meena	meena	NOUN
ejpam-4693	553	9	,	,	PUNCT
ejpam-4693	553	10	and	and	CCONJ
ejpam-4693	553	11	l	l	NOUN
ejpam-4693	553	12	rajendran	rajendran	NOUN
ejpam-4693	553	13	.	.	PUNCT
ejpam-4693	554	1	new	new	ADJ
ejpam-4693	554	2	analytical	analytical	ADJ
ejpam-4693	554	3	method	method	NOUN
ejpam-4693	554	4	for	for	ADP
ejpam-4693	554	5	solving	solve	VERB
ejpam-4693	554	6	nonlinear	nonlinear	ADJ
ejpam-4693	554	7	equation	equation	NOUN
ejpam-4693	554	8	in	in	ADP
ejpam-4693	554	9	rotating	rotate	VERB
ejpam-4693	554	10	disk	disk	NOUN
ejpam-4693	554	11	electrodes	electrode	NOUN
ejpam-4693	554	12	for	for	ADP
ejpam-4693	554	13	second	second	ADJ
ejpam-4693	554	14	-	-	PUNCT
ejpam-4693	554	15	order	order	NOUN
ejpam-4693	554	16	ece	ece	PROPN
ejpam-4693	554	17	reactions	reaction	NOUN
ejpam-4693	554	18	.	.	PUNCT
ejpam-4693	555	1	journal	journal	NOUN
ejpam-4693	555	2	of	of	ADP
ejpam-4693	555	3	electroanalytical	electroanalytical	ADJ
ejpam-4693	555	4	chemistry	chemistry	NOUN
ejpam-4693	555	5	,	,	PUNCT
ejpam-4693	555	6	869:114106	869:114106	NUM
ejpam-4693	555	7	,	,	PUNCT
ejpam-4693	555	8	2020	2020	NUM
ejpam-4693	555	9	.	.	PUNCT
ejpam-4693	556	1	[	[	X
ejpam-4693	556	2	49	49	NUM
ejpam-4693	556	3	]	]	X
ejpam-4693	556	4	j	j	PROPN
ejpam-4693	556	5	visuvasam	visuvasam	PROPN
ejpam-4693	556	6	,	,	PUNCT
ejpam-4693	556	7	angela	angela	PROPN
ejpam-4693	556	8	molina	molina	PROPN
ejpam-4693	556	9	,	,	PUNCT
ejpam-4693	556	10	e	e	PROPN
ejpam-4693	556	11	laborda	laborda	PROPN
ejpam-4693	556	12	,	,	PUNCT
ejpam-4693	556	13	and	and	CCONJ
ejpam-4693	556	14	l	l	NOUN
ejpam-4693	556	15	rajendran	rajendran	NOUN
ejpam-4693	556	16	.	.	PUNCT
ejpam-4693	557	1	mathematical	mathematical	ADJ
ejpam-4693	557	2	models	model	NOUN
ejpam-4693	557	3	of	of	ADP
ejpam-4693	557	4	the	the	DET
ejpam-4693	557	5	infinite	infinite	ADJ
ejpam-4693	557	6	porous	porous	ADJ
ejpam-4693	557	7	rotating	rotating	NOUN
ejpam-4693	557	8	disk	disk	NOUN
ejpam-4693	557	9	electrode	electrode	NOUN
ejpam-4693	557	10	.	.	PUNCT
ejpam-4693	558	1	int	int	NOUN
ejpam-4693	558	2	.	.	PUNCT
ejpam-4693	559	1	j.	j.	PROPN
ejpam-4693	559	2	electrochem	electrochem	PROPN
ejpam-4693	559	3	.	.	PUNCT
ejpam-4693	560	1	sci	sci	PROPN
ejpam-4693	560	2	,	,	PUNCT
ejpam-4693	560	3	pages	page	NOUN
ejpam-4693	560	4	9999–10022	9999–10022	NUM
ejpam-4693	560	5	,	,	PUNCT
ejpam-4693	560	6	2018	2018	NUM
ejpam-4693	560	7	.	.	PUNCT
ejpam-4693	561	1	[	[	X
ejpam-4693	561	2	50	50	NUM
ejpam-4693	561	3	]	]	SYM
ejpam-4693	561	4	mahasin	mahasin	NOUN
ejpam-4693	561	5	thabet	thabet	PROPN
ejpam-4693	561	6	younis	younis	PROPN
ejpam-4693	561	7	and	and	CCONJ
ejpam-4693	561	8	waleed	waleed	PROPN
ejpam-4693	561	9	mohammed	mohammed	PROPN
ejpam-4693	561	10	al	al	PROPN
ejpam-4693	561	11	-	-	PUNCT
ejpam-4693	561	12	hayani	hayani	PROPN
ejpam-4693	561	13	.	.	PUNCT
ejpam-4693	562	1	solving	solve	VERB
ejpam-4693	562	2	fuzzy	fuzzy	ADJ
ejpam-4693	562	3	system	system	NOUN
ejpam-4693	562	4	of	of	ADP
ejpam-4693	562	5	volterra	volterra	PROPN
ejpam-4693	562	6	integro	integro	PROPN
ejpam-4693	562	7	-	-	PUNCT
ejpam-4693	562	8	differential	differential	NOUN
ejpam-4693	562	9	equations	equation	NOUN
ejpam-4693	562	10	by	by	ADP
ejpam-4693	562	11	using	use	VERB
ejpam-4693	562	12	adomian	adomian	NOUN
ejpam-4693	562	13	decomposition	decomposition	NOUN
ejpam-4693	562	14	method	method	NOUN
ejpam-4693	562	15	.	.	PUNCT
ejpam-4693	563	1	european	european	PROPN
ejpam-4693	563	2	journal	journal	PROPN
ejpam-4693	563	3	of	of	ADP
ejpam-4693	563	4	pure	pure	ADJ
ejpam-4693	563	5	and	and	CCONJ
ejpam-4693	563	6	applied	applied	ADJ
ejpam-4693	563	7	mathematics	mathematic	NOUN
ejpam-4693	563	8	,	,	PUNCT
ejpam-4693	563	9	15(1):290–313	15(1):290–313	NUM
ejpam-4693	563	10	,	,	PUNCT
ejpam-4693	563	11	2022	2022	NUM
ejpam-4693	563	12	.	.	PUNCT