id	sid	tid	token	lemma	pos
ejpam-7040	1	1	european	european	PROPN
ejpam-7040	1	2	journal	journal	PROPN
ejpam-7040	1	3	of	of	ADP
ejpam-7040	1	4	pure	pure	ADJ
ejpam-7040	1	5	and	and	CCONJ
ejpam-7040	1	6	applied	applied	ADJ
ejpam-7040	1	7	mathematics	mathematic	NOUN
ejpam-7040	1	8	2025	2025	NUM
ejpam-7040	1	9	,	,	PUNCT
ejpam-7040	1	10	vol	vol	NOUN
ejpam-7040	1	11	.	.	PROPN
ejpam-7040	1	12	18	18	NUM
ejpam-7040	1	13	,	,	PUNCT
ejpam-7040	1	14	issue	issue	NOUN
ejpam-7040	1	15	4	4	NUM
ejpam-7040	1	16	,	,	PUNCT
ejpam-7040	1	17	article	article	NOUN
ejpam-7040	1	18	number	number	NOUN
ejpam-7040	1	19	7040	7040	NUM
ejpam-7040	1	20	issn	issn	PROPN
ejpam-7040	1	21	1307	1307	NUM
ejpam-7040	1	22	-	-	SYM
ejpam-7040	1	23	5543	5543	NUM
ejpam-7040	1	24	–	–	PUNCT
ejpam-7040	1	25	ejpam.com	ejpam.com	X
ejpam-7040	1	26	published	publish	VERB
ejpam-7040	1	27	by	by	ADP
ejpam-7040	1	28	new	new	PROPN
ejpam-7040	1	29	york	york	PROPN
ejpam-7040	1	30	business	business	PROPN
ejpam-7040	1	31	global	global	PROPN
ejpam-7040	1	32	a	a	DET
ejpam-7040	1	33	numerical	numerical	ADJ
ejpam-7040	1	34	comparison	comparison	NOUN
ejpam-7040	1	35	between	between	ADP
ejpam-7040	1	36	the	the	DET
ejpam-7040	1	37	standard	standard	ADJ
ejpam-7040	1	38	and	and	CCONJ
ejpam-7040	1	39	modified	modified	ADJ
ejpam-7040	1	40	versions	version	NOUN
ejpam-7040	1	41	of	of	ADP
ejpam-7040	1	42	oham	oham	ADJ
ejpam-7040	1	43	procedure	procedure	NOUN
ejpam-7040	1	44	for	for	ADP
ejpam-7040	1	45	solving	solve	VERB
ejpam-7040	1	46	volterra	volterra	NOUN
ejpam-7040	1	47	integro	integro	PROPN
ejpam-7040	1	48	-	-	PUNCT
ejpam-7040	1	49	delay	delay	NOUN
ejpam-7040	1	50	differential	differential	ADJ
ejpam-7040	1	51	equations	equation	NOUN
ejpam-7040	1	52	nidal	nidal	PROPN
ejpam-7040	1	53	anakira1,∗	anakira1,∗	PROPN
ejpam-7040	1	54	,	,	PUNCT
ejpam-7040	1	55	sameer	sameer	PROPN
ejpam-7040	1	56	bawaneh2	bawaneh2	PROPN
ejpam-7040	1	57	,	,	PUNCT
ejpam-7040	1	58	areen	areen	PROPN
ejpam-7040	1	59	al	al	PROPN
ejpam-7040	1	60	-	-	PUNCT
ejpam-7040	1	61	khateeb3	khateeb3	PROPN
ejpam-7040	1	62	,	,	PUNCT
ejpam-7040	1	63	ala	ala	PROPN
ejpam-7040	1	64	amourah1	amourah1	PROPN
ejpam-7040	1	65	,	,	PUNCT
ejpam-7040	1	66	tala	tala	PROPN
ejpam-7040	1	67	sasa4	sasa4	NOUN
ejpam-7040	1	68	1	1	NUM
ejpam-7040	1	69	mathematics	mathematic	NOUN
ejpam-7040	1	70	education	education	NOUN
ejpam-7040	1	71	program	program	NOUN
ejpam-7040	1	72	,	,	PUNCT
ejpam-7040	1	73	faculty	faculty	NOUN
ejpam-7040	1	74	of	of	ADP
ejpam-7040	1	75	education	education	NOUN
ejpam-7040	1	76	and	and	CCONJ
ejpam-7040	1	77	arts	art	NOUN
ejpam-7040	1	78	,	,	PUNCT
ejpam-7040	1	79	sohar	sohar	PROPN
ejpam-7040	1	80	university	university	PROPN
ejpam-7040	1	81	,	,	PUNCT
ejpam-7040	1	82	sohar	sohar	PROPN
ejpam-7040	1	83	311	311	NUM
ejpam-7040	1	84	,	,	PUNCT
ejpam-7040	1	85	oman	oman	NOUN
ejpam-7040	1	86	2	2	NUM
ejpam-7040	1	87	department	department	NOUN
ejpam-7040	1	88	of	of	ADP
ejpam-7040	1	89	computer	computer	NOUN
ejpam-7040	1	90	science	science	NOUN
ejpam-7040	1	91	,	,	PUNCT
ejpam-7040	1	92	faculty	faculty	NOUN
ejpam-7040	1	93	of	of	ADP
ejpam-7040	1	94	information	information	NOUN
ejpam-7040	1	95	technology	technology	NOUN
ejpam-7040	1	96	,	,	PUNCT
ejpam-7040	1	97	jadara	jadara	PROPN
ejpam-7040	1	98	university	university	PROPN
ejpam-7040	1	99	,	,	PUNCT
ejpam-7040	1	100	irbid	irbid	ADJ
ejpam-7040	1	101	,	,	PUNCT
ejpam-7040	1	102	21110	21110	NUM
ejpam-7040	1	103	,	,	PUNCT
ejpam-7040	1	104	jordan	jordan	PROPN
ejpam-7040	1	105	3	3	NUM
ejpam-7040	1	106	department	department	PROPN
ejpam-7040	1	107	of	of	ADP
ejpam-7040	1	108	mathematics	mathematic	NOUN
ejpam-7040	1	109	,	,	PUNCT
ejpam-7040	1	110	faculty	faculty	NOUN
ejpam-7040	1	111	of	of	ADP
ejpam-7040	1	112	science	science	NOUN
ejpam-7040	1	113	and	and	CCONJ
ejpam-7040	1	114	technology	technology	NOUN
ejpam-7040	1	115	,	,	PUNCT
ejpam-7040	1	116	jadara	jadara	PROPN
ejpam-7040	1	117	university	university	PROPN
ejpam-7040	1	118	,	,	PUNCT
ejpam-7040	1	119	irbid	irbid	ADJ
ejpam-7040	1	120	,	,	PUNCT
ejpam-7040	1	121	21110	21110	NUM
ejpam-7040	1	122	,	,	PUNCT
ejpam-7040	1	123	jordan	jordan	PROPN
ejpam-7040	1	124	4	4	NUM
ejpam-7040	1	125	department	department	NOUN
ejpam-7040	1	126	of	of	ADP
ejpam-7040	1	127	mathematics	mathematic	NOUN
ejpam-7040	1	128	,	,	PUNCT
ejpam-7040	1	129	faculty	faculty	NOUN
ejpam-7040	1	130	of	of	ADP
ejpam-7040	1	131	science	science	NOUN
ejpam-7040	1	132	,	,	PUNCT
ejpam-7040	1	133	private	private	ADJ
ejpam-7040	1	134	applied	apply	VERB
ejpam-7040	1	135	science	science	NOUN
ejpam-7040	1	136	university	university	NOUN
ejpam-7040	1	137	,	,	PUNCT
ejpam-7040	1	138	amman	amman	PROPN
ejpam-7040	1	139	,	,	PUNCT
ejpam-7040	1	140	jordan	jordan	PROPN
ejpam-7040	1	141	abstract	abstract	PROPN
ejpam-7040	1	142	.	.	PUNCT
ejpam-7040	2	1	in	in	ADP
ejpam-7040	2	2	this	this	DET
ejpam-7040	2	3	paper	paper	NOUN
ejpam-7040	2	4	,	,	PUNCT
ejpam-7040	2	5	we	we	PRON
ejpam-7040	2	6	formulate	formulate	VERB
ejpam-7040	2	7	and	and	CCONJ
ejpam-7040	2	8	enhance	enhance	VERB
ejpam-7040	2	9	a	a	DET
ejpam-7040	2	10	robust	robust	ADJ
ejpam-7040	2	11	semi	semi	ADJ
ejpam-7040	2	12	-	-	ADJ
ejpam-7040	2	13	analytical	analytical	ADJ
ejpam-7040	2	14	method	method	NOUN
ejpam-7040	2	15	,	,	PUNCT
ejpam-7040	2	16	known	know	VERB
ejpam-7040	2	17	as	as	ADP
ejpam-7040	2	18	the	the	DET
ejpam-7040	2	19	optimal	optimal	ADJ
ejpam-7040	2	20	homotopy	homotopy	NOUN
ejpam-7040	2	21	asymptotic	asymptotic	ADJ
ejpam-7040	2	22	method	method	NOUN
ejpam-7040	2	23	(	(	PUNCT
ejpam-7040	2	24	oham	oham	NOUN
ejpam-7040	2	25	)	)	PUNCT
ejpam-7040	2	26	,	,	PUNCT
ejpam-7040	2	27	for	for	ADP
ejpam-7040	2	28	solving	solve	VERB
ejpam-7040	2	29	volterra	volterra	NOUN
ejpam-7040	2	30	delay	delay	PROPN
ejpam-7040	2	31	integro	integro	PROPN
ejpam-7040	2	32	-	-	PUNCT
ejpam-7040	2	33	differential	differential	NOUN
ejpam-7040	2	34	equations	equation	NOUN
ejpam-7040	2	35	(	(	PUNCT
ejpam-7040	2	36	vdides	vdide	NOUN
ejpam-7040	2	37	)	)	PUNCT
ejpam-7040	2	38	.	.	PUNCT
ejpam-7040	3	1	a	a	DET
ejpam-7040	3	2	comparative	comparative	ADJ
ejpam-7040	3	3	analysis	analysis	NOUN
ejpam-7040	3	4	between	between	ADP
ejpam-7040	3	5	the	the	DET
ejpam-7040	3	6	standard	standard	ADJ
ejpam-7040	3	7	oham	oham	NOUN
ejpam-7040	3	8	and	and	CCONJ
ejpam-7040	3	9	its	its	PRON
ejpam-7040	3	10	modified	modify	VERB
ejpam-7040	3	11	version	version	NOUN
ejpam-7040	3	12	is	be	AUX
ejpam-7040	3	13	presented	present	VERB
ejpam-7040	3	14	,	,	PUNCT
ejpam-7040	3	15	emphasizing	emphasize	VERB
ejpam-7040	3	16	the	the	DET
ejpam-7040	3	17	improvements	improvement	NOUN
ejpam-7040	3	18	introduced	introduce	VERB
ejpam-7040	3	19	through	through	ADP
ejpam-7040	3	20	the	the	DET
ejpam-7040	3	21	modification	modification	NOUN
ejpam-7040	3	22	.	.	PUNCT
ejpam-7040	4	1	the	the	DET
ejpam-7040	4	2	modification	modification	NOUN
ejpam-7040	4	3	is	be	AUX
ejpam-7040	4	4	based	base	VERB
ejpam-7040	4	5	on	on	ADP
ejpam-7040	4	6	a	a	DET
ejpam-7040	4	7	refined	refined	ADJ
ejpam-7040	4	8	construction	construction	NOUN
ejpam-7040	4	9	of	of	ADP
ejpam-7040	4	10	the	the	DET
ejpam-7040	4	11	auxiliary	auxiliary	ADJ
ejpam-7040	4	12	function	function	NOUN
ejpam-7040	4	13	h(p	h(p	NOUN
ejpam-7040	4	14	)	)	PUNCT
ejpam-7040	4	15	,	,	PUNCT
ejpam-7040	4	16	which	which	PRON
ejpam-7040	4	17	plays	play	VERB
ejpam-7040	4	18	a	a	DET
ejpam-7040	4	19	crucial	crucial	ADJ
ejpam-7040	4	20	role	role	NOUN
ejpam-7040	4	21	in	in	ADP
ejpam-7040	4	22	enhancing	enhance	VERB
ejpam-7040	4	23	both	both	DET
ejpam-7040	4	24	the	the	DET
ejpam-7040	4	25	accuracy	accuracy	NOUN
ejpam-7040	4	26	and	and	CCONJ
ejpam-7040	4	27	the	the	DET
ejpam-7040	4	28	convergence	convergence	NOUN
ejpam-7040	4	29	of	of	ADP
ejpam-7040	4	30	the	the	DET
ejpam-7040	4	31	method	method	NOUN
ejpam-7040	4	32	.	.	PUNCT
ejpam-7040	5	1	the	the	DET
ejpam-7040	5	2	effectiveness	effectiveness	NOUN
ejpam-7040	5	3	and	and	CCONJ
ejpam-7040	5	4	efficiency	efficiency	NOUN
ejpam-7040	5	5	of	of	ADP
ejpam-7040	5	6	the	the	DET
ejpam-7040	5	7	proposed	propose	VERB
ejpam-7040	5	8	technique	technique	NOUN
ejpam-7040	5	9	are	be	AUX
ejpam-7040	5	10	demonstrated	demonstrate	VERB
ejpam-7040	5	11	through	through	ADP
ejpam-7040	5	12	the	the	DET
ejpam-7040	5	13	solution	solution	NOUN
ejpam-7040	5	14	of	of	ADP
ejpam-7040	5	15	various	various	ADJ
ejpam-7040	5	16	numerical	numerical	ADJ
ejpam-7040	5	17	problems	problem	NOUN
ejpam-7040	5	18	.	.	PUNCT
ejpam-7040	6	1	notably	notably	ADV
ejpam-7040	6	2	,	,	PUNCT
ejpam-7040	6	3	the	the	DET
ejpam-7040	6	4	modified	modify	VERB
ejpam-7040	6	5	oham	oham	NOUN
ejpam-7040	6	6	achieves	achieve	VERB
ejpam-7040	6	7	higher	high	ADJ
ejpam-7040	6	8	accuracy	accuracy	NOUN
ejpam-7040	6	9	within	within	ADP
ejpam-7040	6	10	a	a	DET
ejpam-7040	6	11	single	single	ADJ
ejpam-7040	6	12	order	order	NOUN
ejpam-7040	6	13	of	of	ADP
ejpam-7040	6	14	iteration	iteration	NOUN
ejpam-7040	6	15	,	,	PUNCT
ejpam-7040	6	16	in	in	ADP
ejpam-7040	6	17	contrast	contrast	NOUN
ejpam-7040	6	18	to	to	ADP
ejpam-7040	6	19	the	the	DET
ejpam-7040	6	20	four	four	NUM
ejpam-7040	6	21	orders	order	NOUN
ejpam-7040	6	22	required	require	VERB
ejpam-7040	6	23	by	by	ADP
ejpam-7040	6	24	the	the	DET
ejpam-7040	6	25	standard	standard	ADJ
ejpam-7040	6	26	oham	oham	NOUN
ejpam-7040	6	27	.	.	PUNCT
ejpam-7040	7	1	this	this	DET
ejpam-7040	7	2	advancement	advancement	NOUN
ejpam-7040	7	3	significantly	significantly	ADV
ejpam-7040	7	4	reduces	reduce	VERB
ejpam-7040	7	5	computational	computational	ADJ
ejpam-7040	7	6	effort	effort	NOUN
ejpam-7040	7	7	,	,	PUNCT
ejpam-7040	7	8	simplifies	simplifie	NOUN
ejpam-7040	7	9	calculations	calculation	NOUN
ejpam-7040	7	10	,	,	PUNCT
ejpam-7040	7	11	and	and	CCONJ
ejpam-7040	7	12	decreases	decrease	VERB
ejpam-7040	7	13	overall	overall	ADJ
ejpam-7040	7	14	time	time	NOUN
ejpam-7040	7	15	consumption	consumption	NOUN
ejpam-7040	7	16	,	,	PUNCT
ejpam-7040	7	17	thereby	thereby	ADV
ejpam-7040	7	18	establishing	establish	VERB
ejpam-7040	7	19	the	the	DET
ejpam-7040	7	20	modified	modified	ADJ
ejpam-7040	7	21	oham	oham	NOUN
ejpam-7040	7	22	as	as	ADP
ejpam-7040	7	23	a	a	DET
ejpam-7040	7	24	more	more	ADV
ejpam-7040	7	25	efficient	efficient	ADJ
ejpam-7040	7	26	and	and	CCONJ
ejpam-7040	7	27	practical	practical	ADJ
ejpam-7040	7	28	tool	tool	NOUN
ejpam-7040	7	29	for	for	ADP
ejpam-7040	7	30	addressing	address	VERB
ejpam-7040	7	31	such	such	ADJ
ejpam-7040	7	32	equations	equation	NOUN
ejpam-7040	7	33	.	.	PUNCT
ejpam-7040	8	1	2020	2020	NUM
ejpam-7040	8	2	mathematics	mathematic	NOUN
ejpam-7040	8	3	subject	subject	NOUN
ejpam-7040	8	4	classifications	classification	NOUN
ejpam-7040	8	5	:	:	PUNCT
ejpam-7040	8	6	26a33	26a33	NUM
ejpam-7040	8	7	,	,	PUNCT
ejpam-7040	8	8	34a08	34a08	DET
ejpam-7040	8	9	key	key	ADJ
ejpam-7040	8	10	words	word	NOUN
ejpam-7040	8	11	and	and	CCONJ
ejpam-7040	8	12	phrases	phrase	NOUN
ejpam-7040	8	13	:	:	PUNCT
ejpam-7040	8	14	oham	oham	ADJ
ejpam-7040	8	15	,	,	PUNCT
ejpam-7040	8	16	moham	moham	NOUN
ejpam-7040	8	17	,	,	PUNCT
ejpam-7040	8	18	nonlinear	nonlinear	ADJ
ejpam-7040	8	19	delay	delay	PROPN
ejpam-7040	8	20	volterra	volterra	PROPN
ejpam-7040	8	21	integro	integro	PROPN
ejpam-7040	8	22	-	-	PUNCT
ejpam-7040	8	23	differential	differential	NOUN
ejpam-7040	8	24	equations	equation	NOUN
ejpam-7040	8	25	∗corresponding	∗corresponde	VERB
ejpam-7040	8	26	author	author	NOUN
ejpam-7040	8	27	.	.	PUNCT
ejpam-7040	9	1	doi	doi	NOUN
ejpam-7040	9	2	:	:	PUNCT
ejpam-7040	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7040	https://doi.org/10.29020/nybg.ejpam.v18i4.7040	NUM
ejpam-7040	9	4	email	email	NOUN
ejpam-7040	9	5	addresses	address	NOUN
ejpam-7040	9	6	:	:	PUNCT
ejpam-7040	9	7	nanakira@su.edu.om	nanakira@su.edu.om	PROPN
ejpam-7040	9	8	(	(	PUNCT
ejpam-7040	9	9	n.	n.	PROPN
ejpam-7040	9	10	anakira	anakira	PROPN
ejpam-7040	9	11	)	)	PUNCT
ejpam-7040	9	12	,	,	PUNCT
ejpam-7040	9	13	s.bawaneh@jadara.edu.jo	s.bawaneh@jadara.edu.jo	PROPN
ejpam-7040	9	14	(	(	PUNCT
ejpam-7040	9	15	s.	s.	PROPN
ejpam-7040	9	16	bawaneh	bawaneh	PROPN
ejpam-7040	9	17	)	)	PUNCT
ejpam-7040	9	18	,	,	PUNCT
ejpam-7040	9	19	a.k@jadara.edu.jo	a.k@jadara.edu.jo	PROPN
ejpam-7040	9	20	(	(	PUNCT
ejpam-7040	9	21	a.	a.	PROPN
ejpam-7040	9	22	al	al	PROPN
ejpam-7040	9	23	-	-	PUNCT
ejpam-7040	9	24	khateeb	khateeb	PROPN
ejpam-7040	9	25	)	)	PUNCT
ejpam-7040	9	26	,	,	PUNCT
ejpam-7040	10	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-7040	10	2	(	(	PUNCT
ejpam-7040	10	3	a.	a.	NOUN
ejpam-7040	10	4	amourah	amourah	PROPN
ejpam-7040	10	5	)	)	PUNCT
ejpam-7040	10	6	,	,	PUNCT
ejpam-7040	10	7	t_sasa@asu.edu.jo	t_sasa@asu.edu.jo	PRON
ejpam-7040	10	8	(	(	PUNCT
ejpam-7040	10	9	t.	t.	NOUN
ejpam-7040	10	10	sasa	sasa	PROPN
ejpam-7040	10	11	)	)	PUNCT
ejpam-7040	10	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7040	10	13	1	1	NUM
ejpam-7040	10	14	copyright	copyright	NOUN
ejpam-7040	10	15	:	:	PUNCT
ejpam-7040	11	1	©	©	PROPN
ejpam-7040	11	2	2025	2025	NUM
ejpam-7040	11	3	the	the	DET
ejpam-7040	11	4	author(s	author(s	NOUN
ejpam-7040	11	5	)	)	PUNCT
ejpam-7040	11	6	.	.	PUNCT
ejpam-7040	12	1	(	(	PUNCT
ejpam-7040	12	2	cc	cc	NOUN
ejpam-7040	12	3	by	by	ADP
ejpam-7040	12	4	-	-	PUNCT
ejpam-7040	12	5	nc	nc	PROPN
ejpam-7040	12	6	4.0	4.0	NUM
ejpam-7040	12	7	)	)	PUNCT
ejpam-7040	12	8	n.	n.	PROPN
ejpam-7040	12	9	anakira	anakira	PROPN
ejpam-7040	12	10	et	et	PROPN
ejpam-7040	12	11	al	al	PROPN
ejpam-7040	12	12	.	.	PUNCT
ejpam-7040	12	13	/	/	SYM
ejpam-7040	12	14	eur	eur	PROPN
ejpam-7040	12	15	.	.	PUNCT
ejpam-7040	13	1	j.	j.	PROPN
ejpam-7040	13	2	pure	pure	PROPN
ejpam-7040	13	3	appl	appl	PROPN
ejpam-7040	13	4	.	.	PROPN
ejpam-7040	13	5	math	math	PROPN
ejpam-7040	13	6	,	,	PUNCT
ejpam-7040	13	7	18	18	NUM
ejpam-7040	13	8	(	(	PUNCT
ejpam-7040	13	9	4	4	NUM
ejpam-7040	13	10	)	)	PUNCT
ejpam-7040	13	11	(	(	PUNCT
ejpam-7040	13	12	2025	2025	NUM
ejpam-7040	13	13	)	)	PUNCT
ejpam-7040	13	14	,	,	PUNCT
ejpam-7040	13	15	7040	7040	NUM
ejpam-7040	13	16	2	2	NUM
ejpam-7040	13	17	of	of	ADP
ejpam-7040	13	18	16	16	NUM
ejpam-7040	13	19	1	1	NUM
ejpam-7040	13	20	.	.	PUNCT
ejpam-7040	14	1	introduction	introduction	NOUN
ejpam-7040	14	2	differential	differential	NOUN
ejpam-7040	14	3	and	and	CCONJ
ejpam-7040	14	4	integral	integral	ADJ
ejpam-7040	14	5	equations	equation	NOUN
ejpam-7040	14	6	play	play	VERB
ejpam-7040	14	7	a	a	DET
ejpam-7040	14	8	central	central	ADJ
ejpam-7040	14	9	role	role	NOUN
ejpam-7040	14	10	in	in	ADP
ejpam-7040	14	11	science	science	NOUN
ejpam-7040	14	12	and	and	CCONJ
ejpam-7040	14	13	engineering	engineering	NOUN
ejpam-7040	14	14	,	,	PUNCT
ejpam-7040	14	15	with	with	ADP
ejpam-7040	14	16	applications	application	NOUN
ejpam-7040	14	17	spanning	span	VERB
ejpam-7040	14	18	control	control	NOUN
ejpam-7040	14	19	theory	theory	NOUN
ejpam-7040	14	20	,	,	PUNCT
ejpam-7040	14	21	economics	economic	NOUN
ejpam-7040	14	22	,	,	PUNCT
ejpam-7040	14	23	electrical	electrical	ADJ
ejpam-7040	14	24	engineering	engineering	NOUN
ejpam-7040	14	25	,	,	PUNCT
ejpam-7040	14	26	medicine	medicine	NOUN
ejpam-7040	14	27	,	,	PUNCT
ejpam-7040	14	28	and	and	CCONJ
ejpam-7040	14	29	many	many	ADJ
ejpam-7040	14	30	other	other	ADJ
ejpam-7040	14	31	disciplines	discipline	NOUN
ejpam-7040	14	32	.	.	PUNCT
ejpam-7040	15	1	since	since	SCONJ
ejpam-7040	15	2	exact	exact	ADJ
ejpam-7040	15	3	solutions	solution	NOUN
ejpam-7040	15	4	to	to	ADP
ejpam-7040	15	5	nonlinear	nonlinear	ADJ
ejpam-7040	15	6	systems	system	NOUN
ejpam-7040	15	7	are	be	AUX
ejpam-7040	15	8	often	often	ADV
ejpam-7040	15	9	difficult	difficult	ADJ
ejpam-7040	15	10	to	to	PART
ejpam-7040	15	11	obtain	obtain	VERB
ejpam-7040	15	12	,	,	PUNCT
ejpam-7040	15	13	numerous	numerous	ADJ
ejpam-7040	15	14	researchers	researcher	NOUN
ejpam-7040	15	15	have	have	AUX
ejpam-7040	15	16	contributed	contribute	VERB
ejpam-7040	15	17	alternative	alternative	ADJ
ejpam-7040	15	18	approaches	approach	NOUN
ejpam-7040	15	19	for	for	ADP
ejpam-7040	15	20	constructing	construct	VERB
ejpam-7040	15	21	approximate	approximate	ADJ
ejpam-7040	15	22	solutions	solution	NOUN
ejpam-7040	15	23	.	.	PUNCT
ejpam-7040	16	1	for	for	ADP
ejpam-7040	16	2	example	example	NOUN
ejpam-7040	16	3	,	,	PUNCT
ejpam-7040	16	4	yang	yang	PROPN
ejpam-7040	16	5	et	et	PROPN
ejpam-7040	16	6	al	al	PROPN
ejpam-7040	16	7	.	.	PUNCT
ejpam-7040	17	1	[	[	X
ejpam-7040	17	2	1	1	X
ejpam-7040	17	3	]	]	PUNCT
ejpam-7040	17	4	applied	apply	VERB
ejpam-7040	17	5	the	the	DET
ejpam-7040	17	6	modified	modified	ADJ
ejpam-7040	17	7	reproducing	reproduce	VERB
ejpam-7040	17	8	kernel	kernel	NOUN
ejpam-7040	17	9	method	method	NOUN
ejpam-7040	17	10	to	to	PART
ejpam-7040	17	11	linear	linear	VERB
ejpam-7040	17	12	volterra	volterra	PROPN
ejpam-7040	17	13	integral	integral	ADJ
ejpam-7040	17	14	equations	equation	NOUN
ejpam-7040	17	15	,	,	PUNCT
ejpam-7040	17	16	while	while	SCONJ
ejpam-7040	17	17	anakira	anakira	PROPN
ejpam-7040	17	18	et	et	PROPN
ejpam-7040	17	19	al	al	PROPN
ejpam-7040	17	20	.	.	PUNCT
ejpam-7040	18	1	[	[	X
ejpam-7040	18	2	2	2	NUM
ejpam-7040	18	3	]	]	PUNCT
ejpam-7040	18	4	and	and	CCONJ
ejpam-7040	18	5	raftari	raftari	NOUN
ejpam-7040	18	6	[	[	X
ejpam-7040	18	7	3	3	NUM
ejpam-7040	18	8	]	]	PUNCT
ejpam-7040	18	9	successfully	successfully	ADV
ejpam-7040	18	10	implemented	implement	VERB
ejpam-7040	18	11	the	the	DET
ejpam-7040	18	12	homotopy	homotopy	NOUN
ejpam-7040	18	13	perturbation	perturbation	NOUN
ejpam-7040	18	14	method	method	NOUN
ejpam-7040	18	15	(	(	PUNCT
ejpam-7040	18	16	hpm	hpm	NOUN
ejpam-7040	18	17	)	)	PUNCT
ejpam-7040	18	18	for	for	ADP
ejpam-7040	18	19	volterra	volterra	NOUN
ejpam-7040	18	20	integrodifferential	integrodifferential	NOUN
ejpam-7040	18	21	and	and	CCONJ
ejpam-7040	18	22	delay	delay	VERB
ejpam-7040	18	23	equations	equation	NOUN
ejpam-7040	18	24	.	.	PUNCT
ejpam-7040	19	1	the	the	DET
ejpam-7040	19	2	chebyshev	chebyshev	PROPN
ejpam-7040	19	3	wavelet	wavelet	NOUN
ejpam-7040	19	4	method	method	NOUN
ejpam-7040	19	5	was	be	AUX
ejpam-7040	19	6	developed	develop	VERB
ejpam-7040	19	7	and	and	CCONJ
ejpam-7040	19	8	applied	apply	VERB
ejpam-7040	19	9	by	by	ADP
ejpam-7040	19	10	biazar	biazar	NOUN
ejpam-7040	19	11	and	and	CCONJ
ejpam-7040	19	12	ebrahimi	ebrahimi	NOUN
ejpam-7040	20	1	[	[	X
ejpam-7040	20	2	4	4	NUM
ejpam-7040	20	3	]	]	PUNCT
ejpam-7040	20	4	and	and	CCONJ
ejpam-7040	20	5	later	later	ADV
ejpam-7040	20	6	extended	extend	VERB
ejpam-7040	20	7	by	by	ADP
ejpam-7040	20	8	sahu	sahu	PROPN
ejpam-7040	20	9	and	and	CCONJ
ejpam-7040	20	10	ray	ray	VERB
ejpam-7040	21	1	[	[	X
ejpam-7040	21	2	5	5	NUM
ejpam-7040	21	3	]	]	PUNCT
ejpam-7040	21	4	for	for	ADP
ejpam-7040	21	5	lane	lane	NOUN
ejpam-7040	21	6	–	–	PUNCT
ejpam-7040	21	7	emden	emden	ADJ
ejpam-7040	21	8	type	type	NOUN
ejpam-7040	21	9	equations	equation	NOUN
ejpam-7040	21	10	,	,	PUNCT
ejpam-7040	21	11	anakira	anakira	PROPN
ejpam-7040	21	12	et	et	PROPN
ejpam-7040	21	13	al	al	PROPN
ejpam-7040	21	14	.	.	PUNCT
ejpam-7040	22	1	[	[	X
ejpam-7040	22	2	6	6	NUM
ejpam-7040	22	3	]	]	PUNCT
ejpam-7040	22	4	proposed	propose	VERB
ejpam-7040	22	5	a	a	DET
ejpam-7040	22	6	modified	modify	VERB
ejpam-7040	22	7	version	version	NOUN
ejpam-7040	22	8	for	for	ADP
ejpam-7040	22	9	handling	handle	VERB
ejpam-7040	22	10	nonlinear	nonlinear	ADJ
ejpam-7040	22	11	delay	delay	NOUN
ejpam-7040	22	12	integro	integro	ADJ
ejpam-7040	22	13	-	-	PUNCT
ejpam-7040	22	14	differential	differential	NOUN
ejpam-7040	22	15	problems	problem	NOUN
ejpam-7040	22	16	.	.	PUNCT
ejpam-7040	23	1	whereas	whereas	SCONJ
ejpam-7040	23	2	dawar	dawar	NOUN
ejpam-7040	23	3	et	et	PROPN
ejpam-7040	23	4	al	al	PROPN
ejpam-7040	23	5	.	.	PUNCT
ejpam-7040	24	1	[	[	X
ejpam-7040	24	2	7	7	NUM
ejpam-7040	24	3	]	]	PUNCT
ejpam-7040	24	4	further	far	ADV
ejpam-7040	24	5	advanced	advance	VERB
ejpam-7040	24	6	the	the	DET
ejpam-7040	24	7	residual	residual	ADJ
ejpam-7040	24	8	power	power	NOUN
ejpam-7040	24	9	series	series	NOUN
ejpam-7040	24	10	method	method	NOUN
ejpam-7040	24	11	with	with	ADP
ejpam-7040	24	12	an	an	DET
ejpam-7040	24	13	improved	improved	ADJ
ejpam-7040	24	14	formulation	formulation	NOUN
ejpam-7040	24	15	in	in	ADP
ejpam-7040	24	16	the	the	DET
ejpam-7040	24	17	context	context	NOUN
ejpam-7040	24	18	of	of	ADP
ejpam-7040	24	19	homotopy	homotopy	NOUN
ejpam-7040	24	20	-	-	PUNCT
ejpam-7040	24	21	based	base	VERB
ejpam-7040	24	22	strategies	strategy	NOUN
ejpam-7040	24	23	,	,	PUNCT
ejpam-7040	24	24	hashim	hashim	PROPN
ejpam-7040	24	25	et	et	PROPN
ejpam-7040	24	26	al	al	PROPN
ejpam-7040	24	27	.	.	PUNCT
ejpam-7040	25	1	[	[	X
ejpam-7040	25	2	8	8	NUM
ejpam-7040	25	3	]	]	PUNCT
ejpam-7040	25	4	,	,	PUNCT
ejpam-7040	25	5	jameel	jameel	PROPN
ejpam-7040	25	6	et	et	PROPN
ejpam-7040	25	7	al	al	PROPN
ejpam-7040	25	8	.	.	PUNCT
ejpam-7040	26	1	[	[	X
ejpam-7040	26	2	9	9	NUM
ejpam-7040	26	3	,	,	PUNCT
ejpam-7040	26	4	10	10	NUM
ejpam-7040	26	5	]	]	PUNCT
ejpam-7040	26	6	,	,	PUNCT
ejpam-7040	26	7	and	and	CCONJ
ejpam-7040	26	8	nawaz	nawaz	ADJ
ejpam-7040	26	9	et	et	PROPN
ejpam-7040	26	10	al	al	PROPN
ejpam-7040	26	11	.	.	PUNCT
ejpam-7040	27	1	[	[	X
ejpam-7040	27	2	11	11	NUM
ejpam-7040	27	3	]	]	PUNCT
ejpam-7040	27	4	demonstrated	demonstrate	VERB
ejpam-7040	27	5	the	the	DET
ejpam-7040	27	6	flexibility	flexibility	NOUN
ejpam-7040	27	7	of	of	ADP
ejpam-7040	27	8	the	the	DET
ejpam-7040	27	9	oham	oham	NOUN
ejpam-7040	27	10	for	for	ADP
ejpam-7040	27	11	fractional	fractional	ADJ
ejpam-7040	27	12	,	,	PUNCT
ejpam-7040	27	13	fuzzy	fuzzy	ADJ
ejpam-7040	27	14	,	,	PUNCT
ejpam-7040	27	15	and	and	CCONJ
ejpam-7040	27	16	integro	integro	ADJ
ejpam-7040	27	17	-	-	PUNCT
ejpam-7040	27	18	differential	differential	NOUN
ejpam-7040	27	19	equations	equation	NOUN
ejpam-7040	27	20	.	.	PUNCT
ejpam-7040	28	1	jameel	jameel	PROPN
ejpam-7040	28	2	et	et	PROPN
ejpam-7040	28	3	al	al	PROPN
ejpam-7040	28	4	.	.	PUNCT
ejpam-7040	29	1	[	[	X
ejpam-7040	29	2	12	12	NUM
ejpam-7040	29	3	]	]	PUNCT
ejpam-7040	29	4	applied	apply	VERB
ejpam-7040	29	5	the	the	DET
ejpam-7040	29	6	differential	differential	ADJ
ejpam-7040	29	7	transformation	transformation	NOUN
ejpam-7040	29	8	method	method	NOUN
ejpam-7040	29	9	(	(	PUNCT
ejpam-7040	29	10	dtm	dtm	PROPN
ejpam-7040	29	11	)	)	PUNCT
ejpam-7040	29	12	for	for	ADP
ejpam-7040	29	13	high	high	ADJ
ejpam-7040	29	14	-	-	PUNCT
ejpam-7040	29	15	order	order	NOUN
ejpam-7040	29	16	fuzzy	fuzzy	ADJ
ejpam-7040	29	17	problems	problem	NOUN
ejpam-7040	29	18	,	,	PUNCT
ejpam-7040	29	19	while	while	SCONJ
ejpam-7040	29	20	matinfar	matinfar	ADV
ejpam-7040	29	21	et	et	PROPN
ejpam-7040	29	22	al	al	PROPN
ejpam-7040	29	23	.	.	PUNCT
ejpam-7040	30	1	[	[	X
ejpam-7040	30	2	13	13	NUM
ejpam-7040	30	3	]	]	PUNCT
ejpam-7040	30	4	employed	employ	VERB
ejpam-7040	30	5	the	the	DET
ejpam-7040	30	6	homotopy	homotopy	NOUN
ejpam-7040	30	7	analysis	analysis	NOUN
ejpam-7040	30	8	method	method	NOUN
ejpam-7040	30	9	(	(	PUNCT
ejpam-7040	30	10	ham	ham	NOUN
ejpam-7040	30	11	)	)	PUNCT
ejpam-7040	30	12	to	to	ADP
ejpam-7040	30	13	systems	system	NOUN
ejpam-7040	30	14	of	of	ADP
ejpam-7040	30	15	volterra	volterra	PROPN
ejpam-7040	30	16	integral	integral	ADJ
ejpam-7040	30	17	equations	equation	NOUN
ejpam-7040	30	18	.	.	PUNCT
ejpam-7040	31	1	hamoud	hamoud	PROPN
ejpam-7040	31	2	et	et	PROPN
ejpam-7040	31	3	al	al	PROPN
ejpam-7040	31	4	.	.	PUNCT
ejpam-7040	32	1	[	[	X
ejpam-7040	32	2	14	14	NUM
ejpam-7040	32	3	]	]	PUNCT
ejpam-7040	32	4	investigated	investigate	VERB
ejpam-7040	32	5	the	the	DET
ejpam-7040	32	6	modified	modify	VERB
ejpam-7040	32	7	variational	variational	ADJ
ejpam-7040	32	8	iteration	iteration	NOUN
ejpam-7040	32	9	method	method	NOUN
ejpam-7040	32	10	,	,	PUNCT
ejpam-7040	32	11	and	and	CCONJ
ejpam-7040	32	12	hong	hong	PROPN
ejpam-7040	32	13	et	et	PROPN
ejpam-7040	32	14	al	al	PROPN
ejpam-7040	32	15	.	.	PUNCT
ejpam-7040	33	1	[	[	X
ejpam-7040	33	2	15	15	NUM
ejpam-7040	33	3	]	]	PUNCT
ejpam-7040	33	4	applied	apply	VERB
ejpam-7040	33	5	the	the	DET
ejpam-7040	33	6	relaxed	relaxed	ADJ
ejpam-7040	33	7	monte	monte	PROPN
ejpam-7040	33	8	carlo	carlo	PROPN
ejpam-7040	33	9	method	method	NOUN
ejpam-7040	33	10	for	for	ADP
ejpam-7040	33	11	volterra	volterra	NOUN
ejpam-7040	33	12	integral	integral	ADJ
ejpam-7040	33	13	systems	system	NOUN
ejpam-7040	33	14	.	.	PUNCT
ejpam-7040	34	1	other	other	ADJ
ejpam-7040	34	2	notable	notable	ADJ
ejpam-7040	34	3	contributions	contribution	NOUN
ejpam-7040	34	4	include	include	VERB
ejpam-7040	34	5	agarwal	agarwal	PROPN
ejpam-7040	34	6	et	et	PROPN
ejpam-7040	34	7	al	al	PROPN
ejpam-7040	34	8	.	.	PUNCT
ejpam-7040	35	1	[	[	X
ejpam-7040	35	2	16	16	NUM
ejpam-7040	35	3	]	]	X
ejpam-7040	35	4	,	,	PUNCT
ejpam-7040	35	5	who	who	PRON
ejpam-7040	35	6	explored	explore	VERB
ejpam-7040	35	7	collocation	collocation	NOUN
ejpam-7040	35	8	methods	method	NOUN
ejpam-7040	35	9	for	for	ADP
ejpam-7040	35	10	stochastic	stochastic	ADJ
ejpam-7040	35	11	equations	equation	NOUN
ejpam-7040	35	12	,	,	PUNCT
ejpam-7040	35	13	while	while	SCONJ
ejpam-7040	35	14	anakira	anakira	PROPN
ejpam-7040	35	15	et	et	PROPN
ejpam-7040	35	16	al	al	PROPN
ejpam-7040	35	17	.	.	PUNCT
ejpam-7040	36	1	[	[	X
ejpam-7040	36	2	17	17	NUM
ejpam-7040	36	3	,	,	PUNCT
ejpam-7040	36	4	18	18	NUM
ejpam-7040	36	5	]	]	PUNCT
ejpam-7040	36	6	introduced	introduce	VERB
ejpam-7040	36	7	multistage	multistage	NOUN
ejpam-7040	36	8	moham	moham	NOUN
ejpam-7040	36	9	for	for	ADP
ejpam-7040	36	10	solving	solve	VERB
ejpam-7040	36	11	fuzzy	fuzzy	ADJ
ejpam-7040	36	12	and	and	CCONJ
ejpam-7040	36	13	delay	delay	VERB
ejpam-7040	36	14	differential	differential	ADJ
ejpam-7040	36	15	equations	equation	NOUN
ejpam-7040	36	16	.	.	PUNCT
ejpam-7040	37	1	finally	finally	ADV
ejpam-7040	37	2	,	,	PUNCT
ejpam-7040	37	3	jameel	jameel	PROPN
ejpam-7040	37	4	et	et	PROPN
ejpam-7040	37	5	al	al	PROPN
ejpam-7040	37	6	.	.	PUNCT
ejpam-7040	38	1	[	[	X
ejpam-7040	38	2	19	19	NUM
ejpam-7040	38	3	]	]	PUNCT
ejpam-7040	38	4	developed	develop	VERB
ejpam-7040	38	5	a	a	DET
ejpam-7040	38	6	six	six	NUM
ejpam-7040	38	7	-	-	PUNCT
ejpam-7040	38	8	stage	stage	NOUN
ejpam-7040	38	9	runge	runge	NOUN
ejpam-7040	38	10	–	–	PUNCT
ejpam-7040	38	11	kutta	kutta	NOUN
ejpam-7040	38	12	method	method	NOUN
ejpam-7040	38	13	of	of	ADP
ejpam-7040	38	14	order	order	NOUN
ejpam-7040	38	15	five	five	NUM
ejpam-7040	38	16	for	for	ADP
ejpam-7040	38	17	n′th	n′th	NOUN
ejpam-7040	38	18	order	order	NOUN
ejpam-7040	38	19	fuzzy	fuzzy	ADJ
ejpam-7040	38	20	initial	initial	ADJ
ejpam-7040	38	21	value	value	NOUN
ejpam-7040	38	22	problems	problem	NOUN
ejpam-7040	38	23	.	.	PUNCT
ejpam-7040	39	1	together	together	ADV
ejpam-7040	39	2	,	,	PUNCT
ejpam-7040	39	3	these	these	DET
ejpam-7040	39	4	studies	study	NOUN
ejpam-7040	39	5	underscore	underscore	VERB
ejpam-7040	39	6	the	the	DET
ejpam-7040	39	7	rich	rich	ADJ
ejpam-7040	39	8	diversity	diversity	NOUN
ejpam-7040	39	9	of	of	ADP
ejpam-7040	39	10	techniques	technique	NOUN
ejpam-7040	39	11	proposed	propose	VERB
ejpam-7040	39	12	by	by	ADP
ejpam-7040	39	13	different	different	ADJ
ejpam-7040	39	14	authors	author	NOUN
ejpam-7040	39	15	,	,	PUNCT
ejpam-7040	39	16	each	each	PRON
ejpam-7040	39	17	of	of	ADP
ejpam-7040	39	18	whom	whom	PRON
ejpam-7040	39	19	has	have	AUX
ejpam-7040	39	20	advanced	advance	VERB
ejpam-7040	39	21	the	the	DET
ejpam-7040	39	22	state	state	NOUN
ejpam-7040	39	23	of	of	ADP
ejpam-7040	39	24	the	the	DET
ejpam-7040	39	25	art	art	NOUN
ejpam-7040	39	26	in	in	ADP
ejpam-7040	39	27	approximating	approximate	VERB
ejpam-7040	39	28	solutions	solution	NOUN
ejpam-7040	39	29	for	for	ADP
ejpam-7040	39	30	complex	complex	ADJ
ejpam-7040	39	31	differential	differential	NOUN
ejpam-7040	39	32	and	and	CCONJ
ejpam-7040	39	33	integro	integro	ADJ
ejpam-7040	39	34	-	-	PUNCT
ejpam-7040	39	35	differential	differential	NOUN
ejpam-7040	39	36	equations	equation	NOUN
ejpam-7040	39	37	[	[	X
ejpam-7040	39	38	20–24	20–24	NUM
ejpam-7040	39	39	]	]	PUNCT
ejpam-7040	39	40	.	.	PUNCT
ejpam-7040	40	1	this	this	DET
ejpam-7040	40	2	research	research	NOUN
ejpam-7040	40	3	employs	employ	VERB
ejpam-7040	40	4	the	the	DET
ejpam-7040	40	5	oham	oham	NOUN
ejpam-7040	40	6	[	[	X
ejpam-7040	40	7	25	25	NUM
ejpam-7040	40	8	,	,	PUNCT
ejpam-7040	40	9	26	26	NUM
ejpam-7040	40	10	]	]	PUNCT
ejpam-7040	40	11	to	to	PART
ejpam-7040	40	12	solve	solve	VERB
ejpam-7040	40	13	the	the	DET
ejpam-7040	40	14	volterra	volterra	NOUN
ejpam-7040	40	15	delay	delay	PROPN
ejpam-7040	40	16	integro	integro	PROPN
ejpam-7040	40	17	-	-	PUNCT
ejpam-7040	40	18	differential	differential	NOUN
ejpam-7040	40	19	equations	equation	NOUN
ejpam-7040	40	20	(	(	PUNCT
ejpam-7040	40	21	vdide	vdide	NOUN
ejpam-7040	40	22	)	)	PUNCT
ejpam-7040	40	23	.	.	PUNCT
ejpam-7040	41	1	the	the	DET
ejpam-7040	41	2	motivation	motivation	NOUN
ejpam-7040	41	3	stems	stem	VERB
ejpam-7040	41	4	from	from	ADP
ejpam-7040	41	5	the	the	DET
ejpam-7040	41	6	need	need	NOUN
ejpam-7040	41	7	to	to	PART
ejpam-7040	41	8	achieve	achieve	VERB
ejpam-7040	41	9	highly	highly	ADV
ejpam-7040	41	10	accurate	accurate	ADJ
ejpam-7040	41	11	approximate	approximate	ADJ
ejpam-7040	41	12	solutions	solution	NOUN
ejpam-7040	41	13	for	for	ADP
ejpam-7040	41	14	such	such	ADJ
ejpam-7040	41	15	systems	system	NOUN
ejpam-7040	41	16	by	by	ADP
ejpam-7040	41	17	employing	employ	VERB
ejpam-7040	41	18	a	a	DET
ejpam-7040	41	19	robust	robust	ADJ
ejpam-7040	41	20	semi	semi	ADJ
ejpam-7040	41	21	-	-	ADJ
ejpam-7040	41	22	analytical	analytical	ADJ
ejpam-7040	41	23	methodology	methodology	NOUN
ejpam-7040	41	24	.	.	PUNCT
ejpam-7040	42	1	a	a	DET
ejpam-7040	42	2	key	key	ADJ
ejpam-7040	42	3	advantage	advantage	NOUN
ejpam-7040	42	4	of	of	ADP
ejpam-7040	42	5	oham	oham	NOUN
ejpam-7040	42	6	lies	lie	NOUN
ejpam-7040	42	7	in	in	ADP
ejpam-7040	42	8	its	its	PRON
ejpam-7040	42	9	flexible	flexible	ADJ
ejpam-7040	42	10	convergence	convergence	NOUN
ejpam-7040	42	11	,	,	PUNCT
ejpam-7040	42	12	which	which	PRON
ejpam-7040	42	13	provides	provide	VERB
ejpam-7040	42	14	an	an	DET
ejpam-7040	42	15	effective	effective	ADJ
ejpam-7040	42	16	framework	framework	NOUN
ejpam-7040	42	17	for	for	ADP
ejpam-7040	42	18	constructing	construct	VERB
ejpam-7040	42	19	and	and	CCONJ
ejpam-7040	42	20	controlling	control	VERB
ejpam-7040	42	21	approximation	approximation	NOUN
ejpam-7040	42	22	series	series	NOUN
ejpam-7040	42	23	.	.	PUNCT
ejpam-7040	43	1	employed	employ	VERB
ejpam-7040	43	2	it	it	PRON
ejpam-7040	43	3	to	to	PART
ejpam-7040	43	4	solve	solve	VERB
ejpam-7040	43	5	klein	klein	PROPN
ejpam-7040	43	6	–	–	PUNCT
ejpam-7040	43	7	gordon	gordon	PROPN
ejpam-7040	43	8	equations	equation	NOUN
ejpam-7040	44	1	[	[	X
ejpam-7040	44	2	27	27	NUM
ejpam-7040	44	3	]	]	PUNCT
ejpam-7040	44	4	,	,	PUNCT
ejpam-7040	44	5	sheikholeslami	sheikholeslami	PROPN
ejpam-7040	44	6	et	et	PROPN
ejpam-7040	44	7	al	al	PROPN
ejpam-7040	44	8	.	.	PROPN
ejpam-7040	44	9	used	use	VERB
ejpam-7040	44	10	it	it	PRON
ejpam-7040	44	11	to	to	PART
ejpam-7040	44	12	investigate	investigate	VERB
ejpam-7040	44	13	laminar	laminar	ADJ
ejpam-7040	44	14	viscous	viscous	ADJ
ejpam-7040	44	15	flow	flow	NOUN
ejpam-7040	45	1	[	[	X
ejpam-7040	45	2	28	28	NUM
ejpam-7040	45	3	]	]	X
ejpam-7040	45	4	;	;	PUNCT
ejpam-7040	45	5	hashmi	hashmi	PROPN
ejpam-7040	45	6	et	et	PROPN
ejpam-7040	45	7	al	al	PROPN
ejpam-7040	45	8	.	.	PROPN
ejpam-7040	45	9	applied	apply	VERB
ejpam-7040	45	10	it	it	PRON
ejpam-7040	45	11	to	to	PART
ejpam-7040	45	12	fredholm	fredholm	VERB
ejpam-7040	45	13	integral	integral	ADJ
ejpam-7040	45	14	equations	equation	NOUN
ejpam-7040	45	15	[	[	X
ejpam-7040	45	16	29	29	NUM
ejpam-7040	45	17	]	]	PUNCT
ejpam-7040	45	18	,	,	PUNCT
ejpam-7040	45	19	and	and	CCONJ
ejpam-7040	45	20	nawaz	nawaz	ADJ
ejpam-7040	45	21	et	et	PROPN
ejpam-7040	45	22	al	al	PROPN
ejpam-7040	45	23	.	.	PROPN
ejpam-7040	46	1	derived	derive	VERB
ejpam-7040	46	2	optimal	optimal	ADJ
ejpam-7040	46	3	solutions	solution	NOUN
ejpam-7040	46	4	for	for	ADP
ejpam-7040	46	5	fractional	fractional	ADJ
ejpam-7040	46	6	zakharov	zakharov	ADJ
ejpam-7040	46	7	–	–	PUNCT
ejpam-7040	46	8	kuznetsov	kuznetsov	ADJ
ejpam-7040	46	9	equations	equation	NOUN
ejpam-7040	46	10	[	[	X
ejpam-7040	46	11	30	30	NUM
ejpam-7040	46	12	]	]	PUNCT
ejpam-7040	46	13	,	,	PUNCT
ejpam-7040	46	14	threedimensional	threedimensional	PROPN
ejpam-7040	46	15	volterra	volterra	NOUN
ejpam-7040	46	16	integral	integral	ADJ
ejpam-7040	46	17	equations	equation	NOUN
ejpam-7040	47	1	[	[	X
ejpam-7040	47	2	31	31	NUM
ejpam-7040	47	3	]	]	PUNCT
ejpam-7040	47	4	,	,	PUNCT
ejpam-7040	47	5	and	and	CCONJ
ejpam-7040	47	6	fractional	fractional	ADJ
ejpam-7040	47	7	integro	integro	ADJ
ejpam-7040	47	8	-	-	PUNCT
ejpam-7040	47	9	differential	differential	NOUN
ejpam-7040	47	10	equations	equation	NOUN
ejpam-7040	48	1	[	[	X
ejpam-7040	48	2	32	32	NUM
ejpam-7040	48	3	]	]	PUNCT
ejpam-7040	48	4	.	.	PUNCT
ejpam-7040	49	1	in	in	ADP
ejpam-7040	49	2	this	this	DET
ejpam-7040	49	3	study	study	NOUN
ejpam-7040	49	4	,	,	PUNCT
ejpam-7040	49	5	we	we	PRON
ejpam-7040	49	6	build	build	VERB
ejpam-7040	49	7	on	on	ADP
ejpam-7040	49	8	these	these	DET
ejpam-7040	49	9	foundations	foundation	NOUN
ejpam-7040	49	10	by	by	ADP
ejpam-7040	49	11	modifying	modify	VERB
ejpam-7040	49	12	the	the	DET
ejpam-7040	49	13	standard	standard	ADJ
ejpam-7040	49	14	oham	oham	NOUN
ejpam-7040	49	15	to	to	PART
ejpam-7040	49	16	overcome	overcome	VERB
ejpam-7040	49	17	some	some	PRON
ejpam-7040	49	18	of	of	ADP
ejpam-7040	49	19	its	its	PRON
ejpam-7040	49	20	inherent	inherent	ADJ
ejpam-7040	49	21	difficulties	difficulty	NOUN
ejpam-7040	49	22	and	and	CCONJ
ejpam-7040	49	23	limitations	limitation	NOUN
ejpam-7040	49	24	.	.	PUNCT
ejpam-7040	50	1	the	the	DET
ejpam-7040	50	2	proposed	propose	VERB
ejpam-7040	50	3	modification	modification	NOUN
ejpam-7040	50	4	enhances	enhance	VERB
ejpam-7040	50	5	convergence	convergence	NOUN
ejpam-7040	50	6	and	and	CCONJ
ejpam-7040	50	7	accuracy	accuracy	NOUN
ejpam-7040	50	8	while	while	SCONJ
ejpam-7040	50	9	reducing	reduce	VERB
ejpam-7040	50	10	computational	computational	ADJ
ejpam-7040	50	11	effort	effort	NOUN
ejpam-7040	50	12	.	.	PUNCT
ejpam-7040	51	1	we	we	PRON
ejpam-7040	51	2	then	then	ADV
ejpam-7040	51	3	perform	perform	VERB
ejpam-7040	51	4	a	a	DET
ejpam-7040	51	5	comparative	comparative	ADJ
ejpam-7040	51	6	study	study	NOUN
ejpam-7040	51	7	between	between	ADP
ejpam-7040	51	8	the	the	DET
ejpam-7040	51	9	standard	standard	ADJ
ejpam-7040	51	10	oham	oham	NOUN
ejpam-7040	51	11	and	and	CCONJ
ejpam-7040	51	12	its	its	PRON
ejpam-7040	51	13	modified	modified	ADJ
ejpam-7040	51	14	version	version	NOUN
ejpam-7040	51	15	,	,	PUNCT
ejpam-7040	51	16	supported	support	VERB
ejpam-7040	51	17	by	by	ADP
ejpam-7040	51	18	two	two	NUM
ejpam-7040	51	19	numerical	numerical	ADJ
ejpam-7040	51	20	examples	example	NOUN
ejpam-7040	51	21	,	,	PUNCT
ejpam-7040	51	22	to	to	PART
ejpam-7040	51	23	clearly	clearly	ADV
ejpam-7040	51	24	demonstrate	demonstrate	VERB
ejpam-7040	51	25	the	the	DET
ejpam-7040	51	26	efficiency	efficiency	NOUN
ejpam-7040	51	27	and	and	CCONJ
ejpam-7040	51	28	reliability	reliability	NOUN
ejpam-7040	51	29	of	of	ADP
ejpam-7040	51	30	the	the	DET
ejpam-7040	51	31	improved	improved	ADJ
ejpam-7040	51	32	approach	approach	NOUN
ejpam-7040	51	33	in	in	ADP
ejpam-7040	51	34	solving	solve	VERB
ejpam-7040	51	35	systems	system	NOUN
ejpam-7040	51	36	of	of	ADP
ejpam-7040	51	37	vies	vie	NOUN
ejpam-7040	51	38	.	.	PUNCT
ejpam-7040	52	1	n.	n.	PROPN
ejpam-7040	52	2	anakira	anakira	PROPN
ejpam-7040	52	3	et	et	PROPN
ejpam-7040	52	4	al	al	PROPN
ejpam-7040	52	5	.	.	PUNCT
ejpam-7040	52	6	/	/	SYM
ejpam-7040	52	7	eur	eur	PROPN
ejpam-7040	52	8	.	.	PUNCT
ejpam-7040	53	1	j.	j.	PROPN
ejpam-7040	53	2	pure	pure	PROPN
ejpam-7040	53	3	appl	appl	PROPN
ejpam-7040	53	4	.	.	PROPN
ejpam-7040	53	5	math	math	PROPN
ejpam-7040	53	6	,	,	PUNCT
ejpam-7040	53	7	18	18	NUM
ejpam-7040	53	8	(	(	PUNCT
ejpam-7040	53	9	4	4	NUM
ejpam-7040	53	10	)	)	PUNCT
ejpam-7040	53	11	(	(	PUNCT
ejpam-7040	53	12	2025	2025	NUM
ejpam-7040	53	13	)	)	PUNCT
ejpam-7040	53	14	,	,	PUNCT
ejpam-7040	53	15	7040	7040	NUM
ejpam-7040	53	16	3	3	NUM
ejpam-7040	53	17	of	of	ADP
ejpam-7040	53	18	16	16	NUM
ejpam-7040	53	19	modified	modify	VERB
ejpam-7040	53	20	oham	oham	NOUN
ejpam-7040	53	21	for	for	ADP
ejpam-7040	53	22	volterra	volterra	PROPN
ejpam-7040	53	23	integro	integro	PROPN
ejpam-7040	53	24	-	-	PUNCT
ejpam-7040	53	25	delay	delay	NOUN
ejpam-7040	53	26	differential	differential	ADJ
ejpam-7040	53	27	equations	equation	NOUN
ejpam-7040	53	28	we	we	PRON
ejpam-7040	53	29	consider	consider	VERB
ejpam-7040	53	30	the	the	DET
ejpam-7040	53	31	general	general	PROPN
ejpam-7040	53	32	nonlinear	nonlinear	PROPN
ejpam-7040	53	33	volterra	volterra	PROPN
ejpam-7040	53	34	integro	integro	PROPN
ejpam-7040	53	35	-	-	PUNCT
ejpam-7040	53	36	delay	delay	NOUN
ejpam-7040	53	37	differential	differential	ADJ
ejpam-7040	53	38	equation	equation	NOUN
ejpam-7040	53	39	of	of	ADP
ejpam-7040	53	40	the	the	DET
ejpam-7040	53	41	form	form	NOUN
ejpam-7040	53	42	l[u(x	l[u(x	VERB
ejpam-7040	53	43	)	)	PUNCT
ejpam-7040	53	44	]	]	PUNCT
ejpam-7040	54	1	+	+	CCONJ
ejpam-7040	54	2	g(x	g(x	NOUN
ejpam-7040	54	3	)	)	PUNCT
ejpam-7040	55	1	+	+	NOUN
ejpam-7040	55	2	n	n	PRON
ejpam-7040	55	3	[	[	X
ejpam-7040	55	4	u(x	u(x	NOUN
ejpam-7040	55	5	)	)	PUNCT
ejpam-7040	55	6	]	]	PUNCT
ejpam-7040	56	1	+	+	CCONJ
ejpam-7040	56	2	∫	∫	PROPN
ejpam-7040	56	3	x	x	SYM
ejpam-7040	56	4	0	0	NUM
ejpam-7040	56	5	k(x	k(x	PROPN
ejpam-7040	56	6	,	,	PUNCT
ejpam-7040	56	7	s)u(s−	s)u(s−	ADJ
ejpam-7040	56	8	τ	τ	X
ejpam-7040	56	9	)	)	PUNCT
ejpam-7040	56	10	ds	ds	NOUN
ejpam-7040	56	11	=	=	SYM
ejpam-7040	56	12	0	0	NUM
ejpam-7040	56	13	,	,	PUNCT
ejpam-7040	56	14	x	x	SYM
ejpam-7040	56	15	∈	∈	PROPN
ejpam-7040	57	1	[	[	X
ejpam-7040	57	2	0	0	NUM
ejpam-7040	57	3	,	,	PUNCT
ejpam-7040	57	4	t	t	X
ejpam-7040	57	5	]	]	PUNCT
ejpam-7040	57	6	,	,	PUNCT
ejpam-7040	57	7	τ	τ	PROPN
ejpam-7040	57	8	>	>	X
ejpam-7040	57	9	0	0	NUM
ejpam-7040	57	10	,	,	PUNCT
ejpam-7040	57	11	(	(	PUNCT
ejpam-7040	57	12	1	1	X
ejpam-7040	57	13	)	)	PUNCT
ejpam-7040	57	14	subject	subject	NOUN
ejpam-7040	57	15	to	to	ADP
ejpam-7040	57	16	the	the	DET
ejpam-7040	57	17	boundary	boundary	ADJ
ejpam-7040	57	18	/	/	SYM
ejpam-7040	57	19	initial	initial	ADJ
ejpam-7040	57	20	conditions	condition	NOUN
ejpam-7040	57	21	u(0	u(0	NOUN
ejpam-7040	57	22	)	)	PUNCT
ejpam-7040	57	23	=	=	PUNCT
ejpam-7040	58	1	u0	u0	PROPN
ejpam-7040	58	2	,	,	PUNCT
ejpam-7040	58	3	b	b	PROPN
ejpam-7040	58	4	(	(	PUNCT
ejpam-7040	58	5	du	du	PROPN
ejpam-7040	58	6	dx	dx	PROPN
ejpam-7040	58	7	)	)	PUNCT
ejpam-7040	58	8	x=0	x=0	PUNCT
ejpam-7040	59	1	=	=	SYM
ejpam-7040	59	2	0	0	NUM
ejpam-7040	59	3	,	,	PUNCT
ejpam-7040	59	4	(	(	PUNCT
ejpam-7040	59	5	2	2	X
ejpam-7040	59	6	)	)	PUNCT
ejpam-7040	59	7	where	where	SCONJ
ejpam-7040	59	8	l	l	NOUN
ejpam-7040	59	9	is	be	AUX
ejpam-7040	59	10	a	a	DET
ejpam-7040	59	11	linear	linear	ADJ
ejpam-7040	59	12	operator	operator	NOUN
ejpam-7040	59	13	,	,	PUNCT
ejpam-7040	59	14	n	n	X
ejpam-7040	59	15	is	be	AUX
ejpam-7040	59	16	a	a	DET
ejpam-7040	59	17	nonlinear	nonlinear	ADJ
ejpam-7040	59	18	operator	operator	NOUN
ejpam-7040	59	19	,	,	PUNCT
ejpam-7040	59	20	k(x	k(x	PROPN
ejpam-7040	59	21	,	,	PUNCT
ejpam-7040	59	22	s	s	PART
ejpam-7040	59	23	)	)	PUNCT
ejpam-7040	59	24	is	be	AUX
ejpam-7040	59	25	a	a	DET
ejpam-7040	59	26	known	know	VERB
ejpam-7040	59	27	kernel	kernel	NOUN
ejpam-7040	59	28	,	,	PUNCT
ejpam-7040	59	29	τ	τ	PROPN
ejpam-7040	59	30	is	be	AUX
ejpam-7040	59	31	a	a	DET
ejpam-7040	59	32	constant	constant	ADJ
ejpam-7040	59	33	time	time	NOUN
ejpam-7040	59	34	-	-	PUNCT
ejpam-7040	59	35	delay	delay	NOUN
ejpam-7040	59	36	,	,	PUNCT
ejpam-7040	59	37	and	and	CCONJ
ejpam-7040	59	38	g(x	g(x	NOUN
ejpam-7040	59	39	)	)	PUNCT
ejpam-7040	59	40	is	be	AUX
ejpam-7040	59	41	a	a	DET
ejpam-7040	59	42	given	give	VERB
ejpam-7040	59	43	source	source	NOUN
ejpam-7040	59	44	function	function	NOUN
ejpam-7040	59	45	.	.	PUNCT
ejpam-7040	60	1	according	accord	VERB
ejpam-7040	60	2	to	to	ADP
ejpam-7040	60	3	the	the	DET
ejpam-7040	60	4	basic	basic	ADJ
ejpam-7040	60	5	idea	idea	NOUN
ejpam-7040	60	6	of	of	ADP
ejpam-7040	60	7	oham	oham	NOUN
ejpam-7040	60	8	,	,	PUNCT
ejpam-7040	60	9	we	we	PRON
ejpam-7040	60	10	construct	construct	VERB
ejpam-7040	60	11	the	the	DET
ejpam-7040	60	12	homotopy	homotopy	NOUN
ejpam-7040	60	13	(	(	PUNCT
ejpam-7040	60	14	1−	1−	NUM
ejpam-7040	60	15	p)l[v(x	p)l[v(x	PROPN
ejpam-7040	60	16	,	,	PUNCT
ejpam-7040	60	17	p	p	NOUN
ejpam-7040	60	18	)	)	PUNCT
ejpam-7040	60	19	]	]	PUNCT
ejpam-7040	60	20	=	=	SYM
ejpam-7040	60	21	h(p	h(p	PROPN
ejpam-7040	60	22	)	)	PUNCT
ejpam-7040	60	23	[	[	PUNCT
ejpam-7040	60	24	l(v(x	l(v(x	NOUN
ejpam-7040	60	25	,	,	PUNCT
ejpam-7040	60	26	p	p	NOUN
ejpam-7040	60	27	)	)	PUNCT
ejpam-7040	60	28	)	)	PUNCT
ejpam-7040	61	1	+	+	CCONJ
ejpam-7040	61	2	g(x	g(x	NOUN
ejpam-7040	61	3	)	)	PUNCT
ejpam-7040	62	1	+	+	SYM
ejpam-7040	62	2	n(v(x	n(v(x	PROPN
ejpam-7040	62	3	,	,	PUNCT
ejpam-7040	62	4	p	p	NOUN
ejpam-7040	62	5	)	)	PUNCT
ejpam-7040	62	6	)	)	PUNCT
ejpam-7040	63	1	+	+	CCONJ
ejpam-7040	63	2	∫	∫	PROPN
ejpam-7040	63	3	x	x	SYM
ejpam-7040	63	4	0	0	PUNCT
ejpam-7040	63	5	k(x	k(x	PROPN
ejpam-7040	63	6	,	,	PUNCT
ejpam-7040	63	7	s	s	X
ejpam-7040	63	8	)	)	PUNCT
ejpam-7040	63	9	v(s−	v(s−	PROPN
ejpam-7040	63	10	τ	τ	PROPN
ejpam-7040	63	11	,	,	PUNCT
ejpam-7040	63	12	p	p	NOUN
ejpam-7040	63	13	)	)	PUNCT
ejpam-7040	63	14	ds	ds	X
ejpam-7040	63	15	]	]	PUNCT
ejpam-7040	63	16	,	,	PUNCT
ejpam-7040	63	17	(	(	PUNCT
ejpam-7040	63	18	3	3	X
ejpam-7040	63	19	)	)	PUNCT
ejpam-7040	63	20	with	with	ADP
ejpam-7040	63	21	the	the	DET
ejpam-7040	63	22	boundary	boundary	ADJ
ejpam-7040	63	23	operator	operator	NOUN
ejpam-7040	63	24	;	;	PUNCT
ejpam-7040	63	25	u(0	u(0	PROPN
ejpam-7040	63	26	)	)	PUNCT
ejpam-7040	63	27	=	=	PUNCT
ejpam-7040	64	1	u0	u0	PROPN
ejpam-7040	64	2	,	,	PUNCT
ejpam-7040	64	3	b	b	PROPN
ejpam-7040	64	4	(	(	PUNCT
ejpam-7040	64	5	du	du	PROPN
ejpam-7040	64	6	dx	dx	PROPN
ejpam-7040	64	7	)	)	PUNCT
ejpam-7040	64	8	x=0	x=0	PUNCT
ejpam-7040	65	1	=	=	SYM
ejpam-7040	65	2	0	0	NUM
ejpam-7040	65	3	,	,	PUNCT
ejpam-7040	65	4	(	(	PUNCT
ejpam-7040	65	5	4	4	X
ejpam-7040	65	6	)	)	PUNCT
ejpam-7040	66	1	where	where	SCONJ
ejpam-7040	66	2	p	p	PRON
ejpam-7040	66	3	∈	∈	PROPN
ejpam-7040	67	1	[	[	X
ejpam-7040	67	2	0	0	NUM
ejpam-7040	67	3	,	,	PUNCT
ejpam-7040	67	4	1	1	NUM
ejpam-7040	67	5	]	]	PUNCT
ejpam-7040	67	6	is	be	AUX
ejpam-7040	67	7	the	the	DET
ejpam-7040	67	8	embedding	embed	VERB
ejpam-7040	67	9	parameter	parameter	NOUN
ejpam-7040	67	10	,	,	PUNCT
ejpam-7040	67	11	v(x	v(x	PROPN
ejpam-7040	67	12	,	,	PUNCT
ejpam-7040	67	13	p	p	NOUN
ejpam-7040	67	14	)	)	PUNCT
ejpam-7040	67	15	is	be	AUX
ejpam-7040	67	16	the	the	DET
ejpam-7040	67	17	unknown	unknown	ADJ
ejpam-7040	67	18	function	function	NOUN
ejpam-7040	67	19	,	,	PUNCT
ejpam-7040	67	20	and	and	CCONJ
ejpam-7040	67	21	h(p	h(p	NOUN
ejpam-7040	67	22	)	)	PUNCT
ejpam-7040	67	23	is	be	AUX
ejpam-7040	67	24	a	a	DET
ejpam-7040	67	25	non	non	ADJ
ejpam-7040	67	26	-	-	ADJ
ejpam-7040	67	27	zero	zero	ADJ
ejpam-7040	67	28	auxiliary	auxiliary	ADJ
ejpam-7040	67	29	function	function	NOUN
ejpam-7040	67	30	with	with	ADP
ejpam-7040	67	31	h(0	h(0	PROPN
ejpam-7040	67	32	)	)	PUNCT
ejpam-7040	68	1	=	=	SYM
ejpam-7040	68	2	0	0	NUM
ejpam-7040	68	3	,	,	PUNCT
ejpam-7040	68	4	h(1	h(1	PROPN
ejpam-7040	68	5	)	)	PUNCT
ejpam-7040	68	6	=	=	PUNCT
ejpam-7040	69	1	1	1	X
ejpam-7040	69	2	.	.	PUNCT
ejpam-7040	69	3	to	to	PART
ejpam-7040	69	4	improve	improve	VERB
ejpam-7040	69	5	convergence	convergence	NOUN
ejpam-7040	69	6	,	,	PUNCT
ejpam-7040	69	7	we	we	PRON
ejpam-7040	69	8	introduce	introduce	VERB
ejpam-7040	69	9	a	a	DET
ejpam-7040	69	10	modified	modify	VERB
ejpam-7040	69	11	auxiliary	auxiliary	ADJ
ejpam-7040	69	12	function	function	NOUN
ejpam-7040	69	13	in	in	ADP
ejpam-7040	69	14	the	the	DET
ejpam-7040	69	15	form	form	NOUN
ejpam-7040	69	16	h(q	h(q	ADV
ejpam-7040	69	17	)	)	PUNCT
ejpam-7040	70	1	=	=	SYM
ejpam-7040	70	2	n∑	n∑	NOUN
ejpam-7040	70	3	n=1	n=1	PROPN
ejpam-7040	70	4	(	(	PUNCT
ejpam-7040	70	5	m∑	m∑	CCONJ
ejpam-7040	70	6	k=0	k=0	PROPN
ejpam-7040	70	7	cnkx	cnkx	PROPN
ejpam-7040	70	8	k	k	PROPN
ejpam-7040	70	9	)	)	PUNCT
ejpam-7040	70	10	qn	qn	PROPN
ejpam-7040	70	11	,	,	PUNCT
ejpam-7040	70	12	(	(	PUNCT
ejpam-7040	70	13	5	5	NUM
ejpam-7040	70	14	)	)	PUNCT
ejpam-7040	70	15	where	where	SCONJ
ejpam-7040	70	16	cnk	cnk	ADV
ejpam-7040	70	17	are	be	AUX
ejpam-7040	70	18	the	the	DET
ejpam-7040	70	19	convergence	convergence	NOUN
ejpam-7040	70	20	control	control	NOUN
ejpam-7040	70	21	parameters	parameter	NOUN
ejpam-7040	70	22	to	to	PART
ejpam-7040	70	23	be	be	AUX
ejpam-7040	70	24	determined	determine	VERB
ejpam-7040	70	25	.	.	PUNCT
ejpam-7040	71	1	expanding	expand	VERB
ejpam-7040	71	2	v(x	v(x	PROPN
ejpam-7040	71	3	,	,	PUNCT
ejpam-7040	71	4	p	p	NOUN
ejpam-7040	71	5	)	)	PUNCT
ejpam-7040	71	6	into	into	ADP
ejpam-7040	71	7	a	a	DET
ejpam-7040	71	8	power	power	NOUN
ejpam-7040	71	9	series	series	NOUN
ejpam-7040	71	10	of	of	ADP
ejpam-7040	71	11	p	p	PRON
ejpam-7040	71	12	,	,	PUNCT
ejpam-7040	71	13	we	we	PRON
ejpam-7040	71	14	have	have	VERB
ejpam-7040	71	15	v(x	v(x	NOUN
ejpam-7040	71	16	,	,	PUNCT
ejpam-7040	71	17	p	p	X
ejpam-7040	71	18	)	)	PUNCT
ejpam-7040	71	19	=	=	SYM
ejpam-7040	71	20	u0(x	u0(x	NOUN
ejpam-7040	71	21	)	)	PUNCT
ejpam-7040	72	1	+	+	CCONJ
ejpam-7040	72	2	∞∑	∞∑	NUM
ejpam-7040	72	3	k=1	k=1	PUNCT
ejpam-7040	72	4	uk(x	uk(x	ADP
ejpam-7040	72	5	,	,	PUNCT
ejpam-7040	72	6	c1	c1	PROPN
ejpam-7040	72	7	,	,	PUNCT
ejpam-7040	72	8	c2	c2	PROPN
ejpam-7040	72	9	,	,	PUNCT
ejpam-7040	72	10	.	.	PUNCT
ejpam-7040	72	11	.	.	PUNCT
ejpam-7040	73	1	.	.	PUNCT
ejpam-7040	74	1	,	,	PUNCT
ejpam-7040	74	2	cm	cm	NOUN
ejpam-7040	74	3	)	)	PUNCT
ejpam-7040	74	4	pk	pk	NOUN
ejpam-7040	74	5	.	.	PUNCT
ejpam-7040	75	1	(	(	PUNCT
ejpam-7040	75	2	6	6	NUM
ejpam-7040	75	3	)	)	PUNCT
ejpam-7040	75	4	when	when	SCONJ
ejpam-7040	75	5	p→	p→	NOUN
ejpam-7040	75	6	1	1	NUM
ejpam-7040	75	7	,	,	PUNCT
ejpam-7040	75	8	the	the	DET
ejpam-7040	75	9	approximate	approximate	ADJ
ejpam-7040	75	10	solution	solution	NOUN
ejpam-7040	75	11	becomes	become	VERB
ejpam-7040	75	12	u(x	u(x	NOUN
ejpam-7040	75	13	)	)	PUNCT
ejpam-7040	76	1	≈	≈	NOUN
ejpam-7040	76	2	u0(x	u0(x	NOUN
ejpam-7040	76	3	)	)	PUNCT
ejpam-7040	77	1	+	+	CCONJ
ejpam-7040	77	2	m∑	m∑	CCONJ
ejpam-7040	77	3	k=1	k=1	PROPN
ejpam-7040	77	4	uk(x	uk(x	PROPN
ejpam-7040	77	5	,	,	PUNCT
ejpam-7040	77	6	c1	c1	PROPN
ejpam-7040	77	7	,	,	PUNCT
ejpam-7040	77	8	c2	c2	PROPN
ejpam-7040	77	9	,	,	PUNCT
ejpam-7040	77	10	.	.	PUNCT
ejpam-7040	77	11	.	.	PUNCT
ejpam-7040	78	1	.	.	PUNCT
ejpam-7040	79	1	,	,	PUNCT
ejpam-7040	79	2	cm	cm	NOUN
ejpam-7040	79	3	)	)	PUNCT
ejpam-7040	79	4	.	.	PUNCT
ejpam-7040	80	1	(	(	PUNCT
ejpam-7040	80	2	7	7	X
ejpam-7040	80	3	)	)	PUNCT
ejpam-7040	80	4	the	the	DET
ejpam-7040	80	5	residual	residual	NOUN
ejpam-7040	80	6	for	for	ADP
ejpam-7040	80	7	the	the	DET
ejpam-7040	80	8	truncated	truncated	ADJ
ejpam-7040	80	9	m	m	ADJ
ejpam-7040	80	10	-	-	PUNCT
ejpam-7040	80	11	term	term	NOUN
ejpam-7040	80	12	approximation	approximation	NOUN
ejpam-7040	80	13	is	be	AUX
ejpam-7040	80	14	given	give	VERB
ejpam-7040	80	15	by	by	ADP
ejpam-7040	80	16	r(x;c1	r(x;c1	PROPN
ejpam-7040	80	17	,	,	PUNCT
ejpam-7040	80	18	c2	c2	PROPN
ejpam-7040	80	19	,	,	PUNCT
ejpam-7040	80	20	.	.	PUNCT
ejpam-7040	80	21	.	.	PUNCT
ejpam-7040	81	1	.	.	PUNCT
ejpam-7040	82	1	,	,	PUNCT
ejpam-7040	82	2	cm	cm	NOUN
ejpam-7040	82	3	)	)	PUNCT
ejpam-7040	82	4	=	=	SYM
ejpam-7040	82	5	l[ũ(x	l[ũ(x	NOUN
ejpam-7040	82	6	)	)	PUNCT
ejpam-7040	82	7	]	]	PUNCT
ejpam-7040	83	1	+	+	CCONJ
ejpam-7040	83	2	g(x	g(x	NOUN
ejpam-7040	83	3	)	)	PUNCT
ejpam-7040	84	1	+	+	NOUN
ejpam-7040	84	2	n	n	PRON
ejpam-7040	84	3	[	[	X
ejpam-7040	84	4	ũ(x	ũ(x	ADJ
ejpam-7040	84	5	)	)	PUNCT
ejpam-7040	84	6	]	]	PUNCT
ejpam-7040	85	1	+	+	CCONJ
ejpam-7040	85	2	∫	∫	PROPN
ejpam-7040	85	3	x	x	SYM
ejpam-7040	85	4	0	0	PUNCT
ejpam-7040	85	5	k(x	k(x	PROPN
ejpam-7040	85	6	,	,	PUNCT
ejpam-7040	85	7	s	s	X
ejpam-7040	85	8	)	)	PUNCT
ejpam-7040	85	9	ũ(s−	ũ(s−	ADJ
ejpam-7040	85	10	τ	τ	NOUN
ejpam-7040	85	11	)	)	PUNCT
ejpam-7040	85	12	ds	ds	PROPN
ejpam-7040	85	13	,	,	PUNCT
ejpam-7040	85	14	(	(	PUNCT
ejpam-7040	85	15	8)	8)	NUM
ejpam-7040	85	16	n.	n.	NOUN
ejpam-7040	85	17	anakira	anakira	PROPN
ejpam-7040	85	18	et	et	PROPN
ejpam-7040	85	19	al	al	PROPN
ejpam-7040	85	20	.	.	PUNCT
ejpam-7040	85	21	/	/	SYM
ejpam-7040	85	22	eur	eur	PROPN
ejpam-7040	85	23	.	.	PUNCT
ejpam-7040	86	1	j.	j.	PROPN
ejpam-7040	86	2	pure	pure	PROPN
ejpam-7040	86	3	appl	appl	PROPN
ejpam-7040	86	4	.	.	PROPN
ejpam-7040	86	5	math	math	PROPN
ejpam-7040	86	6	,	,	PUNCT
ejpam-7040	86	7	18	18	NUM
ejpam-7040	86	8	(	(	PUNCT
ejpam-7040	86	9	4	4	NUM
ejpam-7040	86	10	)	)	PUNCT
ejpam-7040	86	11	(	(	PUNCT
ejpam-7040	86	12	2025	2025	NUM
ejpam-7040	86	13	)	)	PUNCT
ejpam-7040	86	14	,	,	PUNCT
ejpam-7040	86	15	7040	7040	NUM
ejpam-7040	86	16	4	4	NUM
ejpam-7040	86	17	of	of	ADP
ejpam-7040	86	18	16	16	NUM
ejpam-7040	86	19	where	where	SCONJ
ejpam-7040	86	20	ũ(x	ũ(x	ADJ
ejpam-7040	86	21	)	)	PUNCT
ejpam-7040	86	22	=	=	SYM
ejpam-7040	86	23	u0(x	u0(x	NOUN
ejpam-7040	86	24	)	)	PUNCT
ejpam-7040	87	1	+	+	CCONJ
ejpam-7040	87	2	m∑	m∑	CCONJ
ejpam-7040	87	3	k=1	k=1	PROPN
ejpam-7040	87	4	uk(x	uk(x	PROPN
ejpam-7040	87	5	,	,	PUNCT
ejpam-7040	87	6	c1	c1	PROPN
ejpam-7040	87	7	,	,	PUNCT
ejpam-7040	87	8	c2	c2	PROPN
ejpam-7040	87	9	,	,	PUNCT
ejpam-7040	87	10	.	.	PUNCT
ejpam-7040	87	11	.	.	PUNCT
ejpam-7040	88	1	.	.	PUNCT
ejpam-7040	89	1	,	,	PUNCT
ejpam-7040	89	2	cm	cm	NOUN
ejpam-7040	89	3	)	)	PUNCT
ejpam-7040	89	4	.	.	PUNCT
ejpam-7040	90	1	(	(	PUNCT
ejpam-7040	90	2	9	9	X
ejpam-7040	90	3	)	)	PUNCT
ejpam-7040	90	4	the	the	DET
ejpam-7040	90	5	optimal	optimal	ADJ
ejpam-7040	90	6	values	value	NOUN
ejpam-7040	90	7	of	of	ADP
ejpam-7040	90	8	the	the	DET
ejpam-7040	90	9	unknown	unknown	ADJ
ejpam-7040	90	10	convergence	convergence	NOUN
ejpam-7040	90	11	control	control	NOUN
ejpam-7040	90	12	constants	constants	PROPN
ejpam-7040	90	13	c1	c1	PROPN
ejpam-7040	90	14	,	,	PUNCT
ejpam-7040	90	15	c2	c2	PROPN
ejpam-7040	90	16	,	,	PUNCT
ejpam-7040	90	17	.	.	PUNCT
ejpam-7040	90	18	.	.	PUNCT
ejpam-7040	91	1	.	.	PUNCT
ejpam-7040	92	1	,	,	PUNCT
ejpam-7040	92	2	cm	cm	NOUN
ejpam-7040	92	3	are	be	AUX
ejpam-7040	92	4	obtained	obtain	VERB
ejpam-7040	92	5	by	by	ADP
ejpam-7040	92	6	minimizing	minimize	VERB
ejpam-7040	92	7	the	the	DET
ejpam-7040	92	8	functional	functional	ADJ
ejpam-7040	92	9	value	value	NOUN
ejpam-7040	92	10	.	.	PUNCT
ejpam-7040	93	1	j(c1	j(c1	PROPN
ejpam-7040	93	2	,	,	PUNCT
ejpam-7040	93	3	c2	c2	PROPN
ejpam-7040	93	4	,	,	PUNCT
ejpam-7040	93	5	.	.	PUNCT
ejpam-7040	93	6	.	.	PUNCT
ejpam-7040	93	7	.	.	PUNCT
ejpam-7040	94	1	,	,	PUNCT
ejpam-7040	94	2	cm	cm	X
ejpam-7040	94	3	)	)	PUNCT
ejpam-7040	95	1	=	=	SYM
ejpam-7040	95	2	∫	∫	PROPN
ejpam-7040	95	3	b	b	PROPN
ejpam-7040	95	4	a	a	DET
ejpam-7040	95	5	r2(x;c1	r2(x;c1	PROPN
ejpam-7040	95	6	,	,	PUNCT
ejpam-7040	95	7	c2	c2	PROPN
ejpam-7040	95	8	,	,	PUNCT
ejpam-7040	95	9	.	.	PUNCT
ejpam-7040	95	10	.	.	PUNCT
ejpam-7040	96	1	.	.	PUNCT
ejpam-7040	97	1	,	,	PUNCT
ejpam-7040	97	2	cm	cm	X
ejpam-7040	97	3	)	)	PUNCT
ejpam-7040	97	4	dx	dx	PROPN
ejpam-7040	97	5	,	,	PUNCT
ejpam-7040	97	6	(	(	PUNCT
ejpam-7040	97	7	10	10	NUM
ejpam-7040	97	8	)	)	PUNCT
ejpam-7040	97	9	which	which	PRON
ejpam-7040	97	10	leads	lead	VERB
ejpam-7040	97	11	to	to	ADP
ejpam-7040	97	12	the	the	DET
ejpam-7040	97	13	conditions	condition	NOUN
ejpam-7040	97	14	∂j	∂j	PROPN
ejpam-7040	97	15	∂c1	∂c1	PROPN
ejpam-7040	97	16	=	=	SYM
ejpam-7040	97	17	∂j	∂j	PROPN
ejpam-7040	97	18	∂c2	∂c2	NOUN
ejpam-7040	97	19	=	=	SYM
ejpam-7040	97	20	·	·	PUNCT
ejpam-7040	97	21	·	·	PUNCT
ejpam-7040	97	22	·	·	PUNCT
ejpam-7040	98	1	=	=	PUNCT
ejpam-7040	98	2	∂j	∂j	PROPN
ejpam-7040	98	3	∂cm	∂cm	PROPN
ejpam-7040	98	4	=	=	PUNCT
ejpam-7040	98	5	0	0	X
ejpam-7040	98	6	.	.	PUNCT
ejpam-7040	99	1	(	(	PUNCT
ejpam-7040	99	2	11	11	NUM
ejpam-7040	99	3	)	)	PUNCT
ejpam-7040	99	4	thus	thus	ADV
ejpam-7040	99	5	,	,	PUNCT
ejpam-7040	99	6	with	with	ADP
ejpam-7040	99	7	the	the	DET
ejpam-7040	99	8	modified	modify	VERB
ejpam-7040	99	9	auxiliary	auxiliary	ADJ
ejpam-7040	99	10	function	function	NOUN
ejpam-7040	99	11	,	,	PUNCT
ejpam-7040	99	12	the	the	DET
ejpam-7040	99	13	oham	oham	ADJ
ejpam-7040	99	14	procedure	procedure	NOUN
ejpam-7040	99	15	provides	provide	VERB
ejpam-7040	99	16	an	an	DET
ejpam-7040	99	17	approximate	approximate	ADJ
ejpam-7040	99	18	analytical	analytical	ADJ
ejpam-7040	99	19	solution	solution	NOUN
ejpam-7040	99	20	to	to	ADP
ejpam-7040	99	21	volterra	volterra	PROPN
ejpam-7040	99	22	integro	integro	PROPN
ejpam-7040	99	23	-	-	PUNCT
ejpam-7040	99	24	delay	delay	NOUN
ejpam-7040	99	25	differential	differential	ADJ
ejpam-7040	99	26	equations	equation	NOUN
ejpam-7040	99	27	with	with	ADP
ejpam-7040	99	28	improved	improved	ADJ
ejpam-7040	99	29	convergence	convergence	NOUN
ejpam-7040	99	30	properties	property	NOUN
ejpam-7040	99	31	.	.	PUNCT
ejpam-7040	100	1	2	2	X
ejpam-7040	100	2	.	.	X
ejpam-7040	100	3	applications	application	NOUN
ejpam-7040	100	4	in	in	ADP
ejpam-7040	100	5	this	this	DET
ejpam-7040	100	6	section	section	NOUN
ejpam-7040	100	7	,	,	PUNCT
ejpam-7040	100	8	we	we	PRON
ejpam-7040	100	9	present	present	VERB
ejpam-7040	100	10	two	two	NUM
ejpam-7040	100	11	examples	example	NOUN
ejpam-7040	100	12	with	with	ADP
ejpam-7040	100	13	known	know	VERB
ejpam-7040	100	14	exact	exact	ADJ
ejpam-7040	100	15	solutions	solution	NOUN
ejpam-7040	100	16	to	to	PART
ejpam-7040	100	17	evaluate	evaluate	VERB
ejpam-7040	100	18	the	the	DET
ejpam-7040	100	19	performance	performance	NOUN
ejpam-7040	100	20	and	and	CCONJ
ejpam-7040	100	21	accuracy	accuracy	NOUN
ejpam-7040	100	22	of	of	ADP
ejpam-7040	100	23	the	the	DET
ejpam-7040	100	24	moham	moham	ADJ
ejpam-7040	100	25	algorithm	algorithm	NOUN
ejpam-7040	100	26	in	in	ADP
ejpam-7040	100	27	comparison	comparison	NOUN
ejpam-7040	100	28	with	with	ADP
ejpam-7040	100	29	the	the	DET
ejpam-7040	100	30	standard	standard	ADJ
ejpam-7040	100	31	oham	oham	NOUN
ejpam-7040	100	32	.	.	PUNCT
ejpam-7040	100	33	example	example	NOUN
ejpam-7040	101	1	1	1	NUM
ejpam-7040	101	2	as	as	ADP
ejpam-7040	101	3	a	a	DET
ejpam-7040	101	4	first	first	ADJ
ejpam-7040	101	5	step	step	NOUN
ejpam-7040	101	6	,	,	PUNCT
ejpam-7040	101	7	we	we	PRON
ejpam-7040	101	8	consider	consider	VERB
ejpam-7040	101	9	the	the	DET
ejpam-7040	101	10	following	follow	VERB
ejpam-7040	101	11	nonlinear	nonlinear	NOUN
ejpam-7040	101	12	vdide	vdide	NOUN
ejpam-7040	101	13	as	as	ADP
ejpam-7040	101	14	a	a	DET
ejpam-7040	101	15	test	test	NOUN
ejpam-7040	101	16	case	case	NOUN
ejpam-7040	101	17	.	.	PUNCT
ejpam-7040	102	1	it	it	PRON
ejpam-7040	102	2	is	be	AUX
ejpam-7040	102	3	solved	solve	VERB
ejpam-7040	102	4	using	use	VERB
ejpam-7040	102	5	oham	oham	NOUN
ejpam-7040	102	6	and	and	CCONJ
ejpam-7040	102	7	then	then	ADV
ejpam-7040	102	8	with	with	ADP
ejpam-7040	102	9	moham	moham	NOUN
ejpam-7040	102	10	,	,	PUNCT
ejpam-7040	102	11	enabling	enable	VERB
ejpam-7040	102	12	a	a	DET
ejpam-7040	102	13	direct	direct	ADJ
ejpam-7040	102	14	comparison	comparison	NOUN
ejpam-7040	102	15	that	that	PRON
ejpam-7040	102	16	demonstrates	demonstrate	VERB
ejpam-7040	102	17	the	the	DET
ejpam-7040	102	18	efficiency	efficiency	NOUN
ejpam-7040	102	19	,	,	PUNCT
ejpam-7040	102	20	accuracy	accuracy	NOUN
ejpam-7040	102	21	,	,	PUNCT
ejpam-7040	102	22	and	and	CCONJ
ejpam-7040	102	23	reliability	reliability	NOUN
ejpam-7040	102	24	of	of	ADP
ejpam-7040	102	25	the	the	DET
ejpam-7040	102	26	modified	modify	VERB
ejpam-7040	102	27	approach	approach	NOUN
ejpam-7040	102	28	.	.	PUNCT
ejpam-7040	103	1	[	[	X
ejpam-7040	103	2	5	5	NUM
ejpam-7040	103	3	]	]	SYM
ejpam-7040	103	4	u′(x	u′(x	NOUN
ejpam-7040	103	5	)	)	PUNCT
ejpam-7040	103	6	=	=	SYM
ejpam-7040	103	7	u2	u2	NOUN
ejpam-7040	103	8	(	(	PUNCT
ejpam-7040	103	9	x	x	NOUN
ejpam-7040	103	10	2	2	X
ejpam-7040	103	11	)	)	PUNCT
ejpam-7040	103	12	−	−	PROPN
ejpam-7040	104	1	ex	ex	PRON
ejpam-7040	105	1	+	+	NOUN
ejpam-7040	105	2	∫	∫	PROPN
ejpam-7040	105	3	x	x	SYM
ejpam-7040	105	4	0	0	NUM
ejpam-7040	105	5	u2	u2	PROPN
ejpam-7040	105	6	(	(	PUNCT
ejpam-7040	105	7	t	t	PROPN
ejpam-7040	105	8	2	2	NUM
ejpam-7040	105	9	)	)	PUNCT
ejpam-7040	105	10	dt+	dt+	NOUN
ejpam-7040	105	11	1	1	NUM
ejpam-7040	105	12	,	,	PUNCT
ejpam-7040	105	13	u(x	u(x	PROPN
ejpam-7040	105	14	)	)	PUNCT
ejpam-7040	105	15	=	=	SYM
ejpam-7040	105	16	ex	ex	X
ejpam-7040	105	17	,	,	PUNCT
ejpam-7040	105	18	x	x	SYM
ejpam-7040	105	19	≤	≤	ADV
ejpam-7040	105	20	0	0	NUM
ejpam-7040	105	21	,	,	PUNCT
ejpam-7040	105	22	(	(	PUNCT
ejpam-7040	105	23	12	12	NUM
ejpam-7040	105	24	)	)	PUNCT
ejpam-7040	105	25	with	with	ADP
ejpam-7040	105	26	the	the	DET
ejpam-7040	105	27	exact	exact	ADJ
ejpam-7040	105	28	solution	solution	NOUN
ejpam-7040	105	29	u(x	u(x	NOUN
ejpam-7040	105	30	)	)	PUNCT
ejpam-7040	105	31	=	=	SYM
ejpam-7040	105	32	ex	ex	X
ejpam-7040	105	33	.	.	PUNCT
ejpam-7040	105	34	(	(	PUNCT
ejpam-7040	105	35	13	13	NUM
ejpam-7040	105	36	)	)	PUNCT
ejpam-7040	105	37	2.1	2.1	NUM
ejpam-7040	105	38	.	.	PUNCT
ejpam-7040	106	1	oham	oham	ADP
ejpam-7040	106	2	solution	solution	NOUN
ejpam-7040	106	3	following	follow	VERB
ejpam-7040	106	4	the	the	DET
ejpam-7040	106	5	oham	oham	ADJ
ejpam-7040	106	6	formulation	formulation	NOUN
ejpam-7040	106	7	described	describe	VERB
ejpam-7040	106	8	in	in	ADP
ejpam-7040	106	9	[	[	X
ejpam-7040	106	10	25	25	NUM
ejpam-7040	106	11	]	]	PUNCT
ejpam-7040	106	12	,	,	PUNCT
ejpam-7040	106	13	we	we	PRON
ejpam-7040	106	14	begin	begin	VERB
ejpam-7040	106	15	by	by	ADP
ejpam-7040	106	16	introducing	introduce	VERB
ejpam-7040	106	17	the	the	DET
ejpam-7040	106	18	corresponding	correspond	VERB
ejpam-7040	106	19	operators	operator	NOUN
ejpam-7040	106	20	that	that	PRON
ejpam-7040	106	21	will	will	AUX
ejpam-7040	106	22	be	be	AUX
ejpam-7040	106	23	used	use	VERB
ejpam-7040	106	24	in	in	ADP
ejpam-7040	106	25	constructing	construct	VERB
ejpam-7040	106	26	the	the	DET
ejpam-7040	106	27	solution	solution	NOUN
ejpam-7040	106	28	.	.	PUNCT
ejpam-7040	107	1	l[v(x	l[v(x	NUM
ejpam-7040	107	2	,	,	PUNCT
ejpam-7040	107	3	p	p	NOUN
ejpam-7040	107	4	)	)	PUNCT
ejpam-7040	107	5	]	]	PUNCT
ejpam-7040	108	1	=	=	SYM
ejpam-7040	108	2	dv(x	dv(x	X
ejpam-7040	108	3	,	,	PUNCT
ejpam-7040	108	4	p	p	NOUN
ejpam-7040	108	5	)	)	PUNCT
ejpam-7040	108	6	dx	dx	PROPN
ejpam-7040	108	7	=	=	SYM
ejpam-7040	108	8	1	1	NUM
ejpam-7040	108	9	,	,	PUNCT
ejpam-7040	108	10	n	n	PRON
ejpam-7040	109	1	[	[	X
ejpam-7040	109	2	v(x	v(x	X
ejpam-7040	109	3	,	,	PUNCT
ejpam-7040	109	4	p	p	NOUN
ejpam-7040	109	5	)	)	PUNCT
ejpam-7040	109	6	]	]	PUNCT
ejpam-7040	110	1	=	=	PUNCT
ejpam-7040	110	2	u′(x)−	u′(x)−	PROPN
ejpam-7040	110	3	u2	u2	PROPN
ejpam-7040	110	4	(	(	PUNCT
ejpam-7040	110	5	x	x	PROPN
ejpam-7040	110	6	2	2	X
ejpam-7040	110	7	)	)	PUNCT
ejpam-7040	110	8	−	−	PROPN
ejpam-7040	110	9	ψ(x	ψ(x	NOUN
ejpam-7040	110	10	)	)	PUNCT
ejpam-7040	111	1	+	+	CCONJ
ejpam-7040	111	2	∫	∫	PROPN
ejpam-7040	111	3	x	x	SYM
ejpam-7040	111	4	0	0	NUM
ejpam-7040	111	5	u2	u2	PROPN
ejpam-7040	111	6	(	(	PUNCT
ejpam-7040	111	7	t	t	PROPN
ejpam-7040	111	8	2	2	NUM
ejpam-7040	111	9	)	)	PUNCT
ejpam-7040	111	10	dt+	dt+	NOUN
ejpam-7040	111	11	1	1	NUM
ejpam-7040	111	12	,	,	PUNCT
ejpam-7040	111	13	v(0	v(0	PROPN
ejpam-7040	111	14	,	,	PUNCT
ejpam-7040	111	15	p	p	NOUN
ejpam-7040	111	16	)	)	PUNCT
ejpam-7040	111	17	=	=	SYM
ejpam-7040	111	18	1	1	NUM
ejpam-7040	111	19	,	,	PUNCT
ejpam-7040	111	20	(	(	PUNCT
ejpam-7040	111	21	14	14	NUM
ejpam-7040	111	22	)	)	PUNCT
ejpam-7040	111	23	n.	n.	NOUN
ejpam-7040	111	24	anakira	anakira	PROPN
ejpam-7040	111	25	et	et	PROPN
ejpam-7040	111	26	al	al	PROPN
ejpam-7040	111	27	.	.	PUNCT
ejpam-7040	111	28	/	/	SYM
ejpam-7040	111	29	eur	eur	PROPN
ejpam-7040	111	30	.	.	PUNCT
ejpam-7040	112	1	j.	j.	PROPN
ejpam-7040	112	2	pure	pure	PROPN
ejpam-7040	112	3	appl	appl	PROPN
ejpam-7040	112	4	.	.	PROPN
ejpam-7040	112	5	math	math	PROPN
ejpam-7040	112	6	,	,	PUNCT
ejpam-7040	112	7	18	18	NUM
ejpam-7040	112	8	(	(	PUNCT
ejpam-7040	112	9	4	4	NUM
ejpam-7040	112	10	)	)	PUNCT
ejpam-7040	112	11	(	(	PUNCT
ejpam-7040	112	12	2025	2025	NUM
ejpam-7040	112	13	)	)	PUNCT
ejpam-7040	112	14	,	,	PUNCT
ejpam-7040	112	15	7040	7040	NUM
ejpam-7040	112	16	5	5	NUM
ejpam-7040	112	17	of	of	ADP
ejpam-7040	112	18	16	16	NUM
ejpam-7040	112	19	where	where	SCONJ
ejpam-7040	112	20	ψ(x	ψ(x	NOUN
ejpam-7040	112	21	)	)	PUNCT
ejpam-7040	112	22	is	be	AUX
ejpam-7040	112	23	the	the	DET
ejpam-7040	112	24	expansion	expansion	NOUN
ejpam-7040	112	25	taylor	taylor	PROPN
ejpam-7040	112	26	series	series	PROPN
ejpam-7040	112	27	of	of	ADP
ejpam-7040	112	28	ex	ex	PRON
ejpam-7040	112	29	with	with	ADP
ejpam-7040	112	30	respect	respect	NOUN
ejpam-7040	112	31	to	to	ADP
ejpam-7040	112	32	p	p	PRON
ejpam-7040	112	33	,	,	PUNCT
ejpam-7040	112	34	which	which	PRON
ejpam-7040	112	35	can	can	AUX
ejpam-7040	112	36	be	be	AUX
ejpam-7040	112	37	written	write	VERB
ejpam-7040	112	38	as	as	ADP
ejpam-7040	112	39	ψ(x	ψ(x	PROPN
ejpam-7040	112	40	;	;	PUNCT
ejpam-7040	112	41	p	p	X
ejpam-7040	112	42	)	)	PUNCT
ejpam-7040	112	43	=	=	PUNCT
ejpam-7040	113	1	∞∑	∞∑	NUM
ejpam-7040	113	2	k=0	k=0	PROPN
ejpam-7040	113	3	(	(	PUNCT
ejpam-7040	113	4	x	x	X
ejpam-7040	113	5	k	k	X
ejpam-7040	113	6	!	!	PUNCT
ejpam-7040	113	7	)	)	PUNCT
ejpam-7040	114	1	k	k	PROPN
ejpam-7040	114	2	pk	pk	PROPN
ejpam-7040	114	3	.	.	PROPN
ejpam-7040	115	1	then	then	ADV
ejpam-7040	115	2	,	,	PUNCT
ejpam-7040	115	3	we	we	PRON
ejpam-7040	115	4	construct	construct	VERB
ejpam-7040	115	5	a	a	DET
ejpam-7040	115	6	family	family	NOUN
ejpam-7040	115	7	of	of	ADP
ejpam-7040	115	8	homtopy	homtopy	NOUN
ejpam-7040	115	9	equations	equation	NOUN
ejpam-7040	115	10	h(u(x	h(u(x	NOUN
ejpam-7040	115	11	;	;	PUNCT
ejpam-7040	115	12	p	p	X
ejpam-7040	115	13	)	)	PUNCT
ejpam-7040	115	14	:	:	PUNCT
ejpam-7040	115	15	r−	r−	PROPN
ejpam-7040	115	16	>	>	X
ejpam-7040	116	1	[	[	X
ejpam-7040	116	2	0	0	NUM
ejpam-7040	116	3	,	,	PUNCT
ejpam-7040	116	4	1	1	NUM
ejpam-7040	116	5	]	]	PUNCT
ejpam-7040	116	6	as	as	SCONJ
ejpam-7040	116	7	follows	follow	VERB
ejpam-7040	116	8	(	(	PUNCT
ejpam-7040	116	9	1−	1−	NUM
ejpam-7040	116	10	p)l[v(x	p)l[v(x	NOUN
ejpam-7040	116	11	,	,	PUNCT
ejpam-7040	116	12	p	p	NOUN
ejpam-7040	116	13	)	)	PUNCT
ejpam-7040	116	14	]	]	PUNCT
ejpam-7040	116	15	=	=	SYM
ejpam-7040	116	16	h(p	h(p	PROPN
ejpam-7040	116	17	)	)	PUNCT
ejpam-7040	116	18	[	[	PUNCT
ejpam-7040	116	19	l(v(x	l(v(x	NOUN
ejpam-7040	116	20	,	,	PUNCT
ejpam-7040	116	21	p	p	NOUN
ejpam-7040	116	22	)	)	PUNCT
ejpam-7040	116	23	)	)	PUNCT
ejpam-7040	117	1	+	+	CCONJ
ejpam-7040	117	2	g(x	g(x	NOUN
ejpam-7040	117	3	)	)	PUNCT
ejpam-7040	118	1	+	+	SYM
ejpam-7040	118	2	n(v(x	n(v(x	PROPN
ejpam-7040	118	3	,	,	PUNCT
ejpam-7040	118	4	p	p	NOUN
ejpam-7040	118	5	)	)	PUNCT
ejpam-7040	118	6	)	)	PUNCT
ejpam-7040	118	7	]	]	PUNCT
ejpam-7040	118	8	,	,	PUNCT
ejpam-7040	118	9	(	(	PUNCT
ejpam-7040	118	10	15	15	X
ejpam-7040	118	11	)	)	PUNCT
ejpam-7040	118	12	substituting	substitute	VERB
ejpam-7040	118	13	l[u(x	l[u(x	NOUN
ejpam-7040	118	14	)	)	PUNCT
ejpam-7040	118	15	]	]	PUNCT
ejpam-7040	118	16	,	,	PUNCT
ejpam-7040	118	17	we	we	PRON
ejpam-7040	118	18	have	have	VERB
ejpam-7040	118	19	u′(x	u′(x	ADP
ejpam-7040	118	20	;	;	PUNCT
ejpam-7040	118	21	p)−	p)−	NOUN
ejpam-7040	118	22	u0(x	u0(x	NOUN
ejpam-7040	118	23	)	)	PUNCT
ejpam-7040	119	1	+	+	CCONJ
ejpam-7040	119	2	m∑	m∑	ADV
ejpam-7040	119	3	i=1	i=1	PROPN
ejpam-7040	119	4	cmq	cmq	PROPN
ejpam-7040	119	5	m	m	VERB
ejpam-7040	119	6	(	(	PUNCT
ejpam-7040	119	7	(	(	PUNCT
ejpam-7040	119	8	u′(x)−	u′(x)−	PROPN
ejpam-7040	119	9	u2	u2	PROPN
ejpam-7040	119	10	(	(	PUNCT
ejpam-7040	119	11	x	x	PROPN
ejpam-7040	119	12	2	2	X
ejpam-7040	119	13	)	)	PUNCT
ejpam-7040	119	14	−	−	PROPN
ejpam-7040	119	15	ψ(x	ψ(x	NOUN
ejpam-7040	119	16	)	)	PUNCT
ejpam-7040	120	1	+	+	CCONJ
ejpam-7040	120	2	∫	∫	PROPN
ejpam-7040	120	3	x	x	SYM
ejpam-7040	120	4	0	0	NUM
ejpam-7040	120	5	u2	u2	PROPN
ejpam-7040	120	6	(	(	PUNCT
ejpam-7040	120	7	t	t	PROPN
ejpam-7040	120	8	2	2	NUM
ejpam-7040	120	9	)	)	PUNCT
ejpam-7040	120	10	dt+	dt+	NOUN
ejpam-7040	120	11	1	1	NUM
ejpam-7040	120	12	)	)	PUNCT
ejpam-7040	120	13	=	=	SYM
ejpam-7040	120	14	0	0	X
ejpam-7040	120	15	.	.	PUNCT
ejpam-7040	120	16	(	(	PUNCT
ejpam-7040	120	17	16	16	NUM
ejpam-7040	120	18	)	)	PUNCT
ejpam-7040	120	19	thus	thus	ADV
ejpam-7040	120	20	,	,	PUNCT
ejpam-7040	120	21	as	as	SCONJ
ejpam-7040	120	22	p	p	NOUN
ejpam-7040	120	23	varies	vary	VERB
ejpam-7040	120	24	from	from	ADP
ejpam-7040	120	25	0	0	NUM
ejpam-7040	120	26	to	to	ADP
ejpam-7040	120	27	1	1	NUM
ejpam-7040	120	28	,	,	PUNCT
ejpam-7040	120	29	the	the	DET
ejpam-7040	120	30	solution	solution	NOUN
ejpam-7040	120	31	approach	approach	NOUN
ejpam-7040	120	32	from	from	ADP
ejpam-7040	120	33	u0(x	u0(x	NOUN
ejpam-7040	120	34	)	)	PUNCT
ejpam-7040	120	35	to	to	ADP
ejpam-7040	120	36	u(x	u(x	NOUN
ejpam-7040	120	37	)	)	PUNCT
ejpam-7040	120	38	,	,	PUNCT
ejpam-7040	120	39	where	where	SCONJ
ejpam-7040	120	40	u0(x	u0(x	X
ejpam-7040	120	41	)	)	PUNCT
ejpam-7040	120	42	is	be	AUX
ejpam-7040	120	43	the	the	DET
ejpam-7040	120	44	zeroth	zeroth	ADJ
ejpam-7040	120	45	-order	-order	PROPN
ejpam-7040	120	46	problem	problem	NOUN
ejpam-7040	120	47	that	that	PRON
ejpam-7040	120	48	can	can	AUX
ejpam-7040	120	49	be	be	AUX
ejpam-7040	120	50	obtained	obtain	VERB
ejpam-7040	120	51	from	from	ADP
ejpam-7040	120	52	the	the	DET
ejpam-7040	120	53	solution	solution	NOUN
ejpam-7040	120	54	of	of	ADP
ejpam-7040	120	55	initial	initial	ADJ
ejpam-7040	120	56	guess	guess	NOUN
ejpam-7040	120	57	u′0(x	u′0(x	NOUN
ejpam-7040	120	58	)	)	PUNCT
ejpam-7040	121	1	=	=	SYM
ejpam-7040	121	2	1	1	NUM
ejpam-7040	121	3	,	,	PUNCT
ejpam-7040	121	4	u0(0	u0(0	PROPN
ejpam-7040	121	5	)	)	PUNCT
ejpam-7040	121	6	=	=	SYM
ejpam-7040	122	1	1	1	X
ejpam-7040	122	2	.	.	PUNCT
ejpam-7040	122	3	(	(	PUNCT
ejpam-7040	122	4	17	17	NUM
ejpam-7040	122	5	)	)	PUNCT
ejpam-7040	122	6	then	then	ADV
ejpam-7040	122	7	,	,	PUNCT
ejpam-7040	122	8	by	by	ADP
ejpam-7040	122	9	expanding	expand	VERB
ejpam-7040	122	10	u(x	u(x	NOUN
ejpam-7040	122	11	;	;	PUNCT
ejpam-7040	122	12	p	p	X
ejpam-7040	122	13	;	;	PUNCT
ejpam-7040	122	14	ci	ci	NOUN
ejpam-7040	122	15	)	)	PUNCT
ejpam-7040	122	16	,	,	PUNCT
ejpam-7040	122	17	i	i	PRON
ejpam-7040	122	18	=	=	NOUN
ejpam-7040	122	19	1	1	NUM
ejpam-7040	122	20	,	,	PUNCT
ejpam-7040	122	21	...	...	PUNCT
ejpam-7040	122	22	,	,	PUNCT
ejpam-7040	122	23	4	4	NUM
ejpam-7040	122	24	in	in	ADP
ejpam-7040	122	25	taylor	taylor	PROPN
ejpam-7040	122	26	series	series	PROPN
ejpam-7040	122	27	about	about	ADP
ejpam-7040	122	28	p	p	PROPN
ejpam-7040	122	29	,	,	PUNCT
ejpam-7040	122	30	we	we	PRON
ejpam-7040	122	31	have	have	VERB
ejpam-7040	122	32	u(x	u(x	NOUN
ejpam-7040	122	33	;	;	PUNCT
ejpam-7040	122	34	p	p	X
ejpam-7040	122	35	;	;	PUNCT
ejpam-7040	122	36	ci	ci	NOUN
ejpam-7040	122	37	)	)	PUNCT
ejpam-7040	122	38	=	=	SYM
ejpam-7040	122	39	u0(x	u0(x	NOUN
ejpam-7040	122	40	)	)	PUNCT
ejpam-7040	122	41	+	+	CCONJ
ejpam-7040	122	42	m∑	m∑	CCONJ
ejpam-7040	122	43	k=1	k=1	PROPN
ejpam-7040	122	44	uk(x	uk(x	PROPN
ejpam-7040	122	45	,	,	PUNCT
ejpam-7040	122	46	c1	c1	PROPN
ejpam-7040	122	47	,	,	PUNCT
ejpam-7040	122	48	c2	c2	PROPN
ejpam-7040	122	49	,	,	PUNCT
ejpam-7040	122	50	.	.	PUNCT
ejpam-7040	122	51	.	.	PUNCT
ejpam-7040	123	1	.	.	PUNCT
ejpam-7040	124	1	,	,	PUNCT
ejpam-7040	124	2	cm	cm	NOUN
ejpam-7040	124	3	)	)	PUNCT
ejpam-7040	124	4	pk	pk	NOUN
ejpam-7040	124	5	.	.	PUNCT
ejpam-7040	125	1	(	(	PUNCT
ejpam-7040	125	2	18	18	NUM
ejpam-7040	125	3	)	)	PUNCT
ejpam-7040	125	4	substituting	substitute	VERB
ejpam-7040	125	5	eq.(18	eq.(18	NOUN
ejpam-7040	125	6	)	)	PUNCT
ejpam-7040	125	7	into	into	ADP
ejpam-7040	125	8	eq	eq	NOUN
ejpam-7040	125	9	.	.	PUNCT
ejpam-7040	126	1	(	(	PUNCT
ejpam-7040	126	2	16	16	NUM
ejpam-7040	126	3	)	)	PUNCT
ejpam-7040	126	4	and	and	CCONJ
ejpam-7040	126	5	by	by	ADP
ejpam-7040	126	6	equating	equate	VERB
ejpam-7040	126	7	the	the	DET
ejpam-7040	126	8	coefficient	coefficient	NOUN
ejpam-7040	126	9	of	of	ADP
ejpam-7040	126	10	like	like	ADP
ejpam-7040	126	11	power	power	NOUN
ejpam-7040	126	12	p	p	NOUN
ejpam-7040	126	13	,	,	PUNCT
ejpam-7040	126	14	yields	yield	VERB
ejpam-7040	126	15	the	the	DET
ejpam-7040	126	16	first	first	ADJ
ejpam-7040	126	17	-	-	PUNCT
ejpam-7040	126	18	order	order	NOUN
ejpam-7040	126	19	deformation	deformation	NOUN
ejpam-7040	126	20	problem	problem	NOUN
ejpam-7040	126	21	u′1(x	u′1(x	NOUN
ejpam-7040	126	22	,	,	PUNCT
ejpam-7040	126	23	c1	c1	NOUN
ejpam-7040	126	24	)	)	PUNCT
ejpam-7040	127	1	=	=	VERB
ejpam-7040	127	2	c1(−x)−	c1(−x)−	VERB
ejpam-7040	127	3	1	1	NUM
ejpam-7040	127	4	4	4	NUM
ejpam-7040	127	5	(	(	PUNCT
ejpam-7040	127	6	c1x	c1x	PROPN
ejpam-7040	127	7	2	2	NUM
ejpam-7040	127	8	)	)	PUNCT
ejpam-7040	128	1	+	+	CCONJ
ejpam-7040	128	2	c1x	c1x	VERB
ejpam-7040	128	3	3	3	NUM
ejpam-7040	128	4	12	12	NUM
ejpam-7040	128	5	+	+	CCONJ
ejpam-7040	128	6	c1x	c1x	VERB
ejpam-7040	128	7	4	4	NUM
ejpam-7040	128	8	24	24	NUM
ejpam-7040	128	9	+	+	CCONJ
ejpam-7040	128	10	c1x	c1x	VERB
ejpam-7040	128	11	5	5	NUM
ejpam-7040	128	12	120	120	NUM
ejpam-7040	128	13	+	+	CCONJ
ejpam-7040	128	14	c1x	c1x	VERB
ejpam-7040	128	15	6	6	NUM
ejpam-7040	128	16	720	720	NUM
ejpam-7040	128	17	+	+	CCONJ
ejpam-7040	128	18	c1x	c1x	VERB
ejpam-7040	128	19	7	7	NUM
ejpam-7040	128	20	5040	5040	NUM
ejpam-7040	128	21	,	,	PUNCT
ejpam-7040	128	22	u0(0	u0(0	PROPN
ejpam-7040	128	23	)	)	PUNCT
ejpam-7040	128	24	=	=	SYM
ejpam-7040	128	25	0	0	NUM
ejpam-7040	128	26	,	,	PUNCT
ejpam-7040	128	27	(	(	PUNCT
ejpam-7040	128	28	19	19	NUM
ejpam-7040	128	29	)	)	PUNCT
ejpam-7040	128	30	the	the	DET
ejpam-7040	128	31	second	second	ADJ
ejpam-7040	128	32	-	-	PUNCT
ejpam-7040	128	33	order	order	NOUN
ejpam-7040	128	34	deformation	deformation	NOUN
ejpam-7040	128	35	problem	problem	NOUN
ejpam-7040	128	36	is	be	AUX
ejpam-7040	128	37	u′2(x	u′2(x	PROPN
ejpam-7040	128	38	,	,	PUNCT
ejpam-7040	128	39	c1	c1	PROPN
ejpam-7040	128	40	,	,	PUNCT
ejpam-7040	128	41	c2	c2	PROPN
ejpam-7040	128	42	)	)	PUNCT
ejpam-7040	129	1	=	=	VERB
ejpam-7040	129	2	c1(−x)−	c1(−x)−	VERB
ejpam-7040	129	3	1	1	NUM
ejpam-7040	129	4	4	4	NUM
ejpam-7040	129	5	(	(	PUNCT
ejpam-7040	129	6	c1x	c1x	PROPN
ejpam-7040	129	7	2	2	NUM
ejpam-7040	129	8	)	)	PUNCT
ejpam-7040	130	1	+	+	CCONJ
ejpam-7040	130	2	c1x	c1x	VERB
ejpam-7040	130	3	3	3	NUM
ejpam-7040	130	4	12	12	NUM
ejpam-7040	130	5	+	+	CCONJ
ejpam-7040	130	6	c1x	c1x	VERB
ejpam-7040	130	7	4	4	NUM
ejpam-7040	130	8	24	24	NUM
ejpam-7040	130	9	+	+	CCONJ
ejpam-7040	130	10	c1x	c1x	VERB
ejpam-7040	130	11	5	5	NUM
ejpam-7040	130	12	120	120	NUM
ejpam-7040	130	13	+	+	CCONJ
ejpam-7040	130	14	c1x	c1x	VERB
ejpam-7040	130	15	6	6	NUM
ejpam-7040	130	16	720	720	NUM
ejpam-7040	130	17	+	+	CCONJ
ejpam-7040	130	18	c1x	c1x	VERB
ejpam-7040	130	19	6	6	NUM
ejpam-7040	130	20	720	720	NUM
ejpam-7040	130	21	+	+	CCONJ
ejpam-7040	130	22	c1x	c1x	VERB
ejpam-7040	130	23	7	7	NUM
ejpam-7040	130	24	5040	5040	NUM
ejpam-7040	130	25	c21(−x	c21(−x	NUM
ejpam-7040	130	26	)	)	PUNCT
ejpam-7040	131	1	+	+	CCONJ
ejpam-7040	131	2	5	5	NUM
ejpam-7040	131	3	16	16	NUM
ejpam-7040	131	4	c21x	c21x	NOUN
ejpam-7040	131	5	3	3	NUM
ejpam-7040	131	6	+	+	NUM
ejpam-7040	131	7	11	11	NUM
ejpam-7040	131	8	128	128	NUM
ejpam-7040	131	9	c21x	c21x	NOUN
ejpam-7040	131	10	4	4	NUM
ejpam-7040	132	1	+	+	SYM
ejpam-7040	132	2	31c21x	31c21x	NUM
ejpam-7040	132	3	5	5	NUM
ejpam-7040	132	4	3840	3840	NUM
ejpam-7040	132	5	+	+	SYM
ejpam-7040	132	6	c21x	c21x	PROPN
ejpam-7040	132	7	6	6	NUM
ejpam-7040	132	8	1280	1280	NUM
ejpam-7040	133	1	+	+	CCONJ
ejpam-7040	133	2	c21x	c21x	PROPN
ejpam-7040	133	3	7	7	NUM
ejpam-7040	133	4	7680	7680	NUM
ejpam-7040	133	5	−	−	NOUN
ejpam-7040	133	6	5c21x	5c21x	NUM
ejpam-7040	133	7	8	8	NUM
ejpam-7040	133	8	1032192	1032192	NUM
ejpam-7040	133	9	−	−	NOUN
ejpam-7040	133	10	c21x	c21x	PROPN
ejpam-7040	133	11	9	9	NUM
ejpam-7040	133	12	3440640	3440640	NUM
ejpam-7040	133	13	−	−	NOUN
ejpam-7040	134	1	c21x	c21x	PROPN
ejpam-7040	134	2	10	10	NUM
ejpam-7040	134	3	103219200	103219200	NUM
ejpam-7040	134	4	−	−	NOUN
ejpam-7040	134	5	c2x−	c2x−	NOUN
ejpam-7040	134	6	1	1	NUM
ejpam-7040	134	7	4	4	NUM
ejpam-7040	134	8	(	(	PUNCT
ejpam-7040	134	9	c2x	c2x	NOUN
ejpam-7040	134	10	2	2	NUM
ejpam-7040	134	11	)	)	PUNCT
ejpam-7040	135	1	+	+	CCONJ
ejpam-7040	135	2	c2x	c2x	NOUN
ejpam-7040	135	3	3	3	NUM
ejpam-7040	135	4	12	12	NUM
ejpam-7040	135	5	+	+	CCONJ
ejpam-7040	135	6	c2x	c2x	PROPN
ejpam-7040	135	7	4	4	NUM
ejpam-7040	135	8	24	24	NUM
ejpam-7040	135	9	+	+	CCONJ
ejpam-7040	135	10	c2x	c2x	PROPN
ejpam-7040	135	11	5	5	NUM
ejpam-7040	135	12	120	120	NUM
ejpam-7040	135	13	+	+	CCONJ
ejpam-7040	135	14	c2x	c2x	PROPN
ejpam-7040	135	15	6	6	NUM
ejpam-7040	135	16	720	720	NUM
ejpam-7040	135	17	+	+	CCONJ
ejpam-7040	135	18	c2x	c2x	PROPN
ejpam-7040	135	19	7	7	NUM
ejpam-7040	135	20	5040	5040	NUM
ejpam-7040	135	21	,	,	PUNCT
ejpam-7040	135	22	u2(0	u2(0	NOUN
ejpam-7040	135	23	)	)	PUNCT
ejpam-7040	135	24	=	=	SYM
ejpam-7040	135	25	0	0	X
ejpam-7040	135	26	.	.	PUNCT
ejpam-7040	136	1	(	(	PUNCT
ejpam-7040	136	2	20	20	NUM
ejpam-7040	136	3	)	)	PUNCT
ejpam-7040	136	4	the	the	DET
ejpam-7040	136	5	third	third	ADJ
ejpam-7040	136	6	-	-	PUNCT
ejpam-7040	136	7	order	order	NOUN
ejpam-7040	136	8	deformation	deformation	NOUN
ejpam-7040	136	9	problem	problem	NOUN
ejpam-7040	136	10	u′3(x	u′3(x	PROPN
ejpam-7040	136	11	,	,	PUNCT
ejpam-7040	136	12	c1	c1	PROPN
ejpam-7040	136	13	,	,	PUNCT
ejpam-7040	136	14	c2	c2	PROPN
ejpam-7040	136	15	,	,	PUNCT
ejpam-7040	136	16	c3	c3	PROPN
ejpam-7040	136	17	)	)	PUNCT
ejpam-7040	136	18	=	=	PUNCT
ejpam-7040	137	1	−	−	PROPN
ejpam-7040	137	2	5c21x	5c21x	NUM
ejpam-7040	137	3	8	8	NUM
ejpam-7040	137	4	172032	172032	NUM
ejpam-7040	137	5	+	+	CCONJ
ejpam-7040	137	6	c21x	c21x	PROPN
ejpam-7040	137	7	7	7	NUM
ejpam-7040	137	8	1280	1280	NUM
ejpam-7040	137	9	+	+	CCONJ
ejpam-7040	137	10	3	3	NUM
ejpam-7040	137	11	640	640	NUM
ejpam-7040	137	12	c21x	c21x	NOUN
ejpam-7040	137	13	6	6	NUM
ejpam-7040	137	14	+	+	SYM
ejpam-7040	137	15	31	31	NUM
ejpam-7040	137	16	640	640	NUM
ejpam-7040	137	17	c21x	c21x	NOUN
ejpam-7040	137	18	5	5	NUM
ejpam-7040	137	19	+	+	SYM
ejpam-7040	137	20	33	33	NUM
ejpam-7040	137	21	64	64	NUM
ejpam-7040	137	22	c21x	c21x	NOUN
ejpam-7040	137	23	4	4	NUM
ejpam-7040	137	24	+	+	SYM
ejpam-7040	137	25	15	15	NUM
ejpam-7040	137	26	8	8	NUM
ejpam-7040	137	27	c21x	c21x	NOUN
ejpam-7040	137	28	3	3	NUM
ejpam-7040	137	29	−	−	NOUN
ejpam-7040	138	1	6c21x	6c21x	NOUN
ejpam-7040	139	1	−	−	NOUN
ejpam-7040	139	2	c21x	c21x	PROPN
ejpam-7040	140	1	10	10	NUM
ejpam-7040	140	2	17203200	17203200	NUM
ejpam-7040	140	3	−	−	NOUN
ejpam-7040	140	4	c21x	c21x	PROPN
ejpam-7040	140	5	9	9	NUM
ejpam-7040	140	6	573440	573440	NUM
ejpam-7040	140	7	+	+	CCONJ
ejpam-7040	140	8	141	141	NUM
ejpam-7040	140	9	256	256	NUM
ejpam-7040	140	10	c31x	c31x	NOUN
ejpam-7040	140	11	4	4	NUM
ejpam-7040	140	12	+	+	SYM
ejpam-7040	140	13	25	25	NUM
ejpam-7040	140	14	8	8	NUM
ejpam-7040	140	15	c31x	c31x	NOUN
ejpam-7040	140	16	3	3	NUM
ejpam-7040	140	17	+	+	SYM
ejpam-7040	140	18	3	3	NUM
ejpam-7040	140	19	2	2	NUM
ejpam-7040	140	20	c31x	c31x	NOUN
ejpam-7040	140	21	2	2	NUM
ejpam-7040	140	22	−	−	NOUN
ejpam-7040	140	23	6c31x	6c31x	PROPN
ejpam-7040	140	24	n.	n.	PROPN
ejpam-7040	140	25	anakira	anakira	PROPN
ejpam-7040	140	26	et	et	PROPN
ejpam-7040	140	27	al	al	PROPN
ejpam-7040	140	28	.	.	PUNCT
ejpam-7040	140	29	/	/	SYM
ejpam-7040	140	30	eur	eur	PROPN
ejpam-7040	140	31	.	.	PUNCT
ejpam-7040	141	1	j.	j.	PROPN
ejpam-7040	141	2	pure	pure	PROPN
ejpam-7040	141	3	appl	appl	PROPN
ejpam-7040	141	4	.	.	PROPN
ejpam-7040	141	5	math	math	PROPN
ejpam-7040	141	6	,	,	PUNCT
ejpam-7040	141	7	18	18	NUM
ejpam-7040	141	8	(	(	PUNCT
ejpam-7040	141	9	4	4	NUM
ejpam-7040	141	10	)	)	PUNCT
ejpam-7040	141	11	(	(	PUNCT
ejpam-7040	141	12	2025	2025	NUM
ejpam-7040	141	13	)	)	PUNCT
ejpam-7040	141	14	,	,	PUNCT
ejpam-7040	141	15	7040	7040	NUM
ejpam-7040	141	16	6	6	NUM
ejpam-7040	141	17	of	of	ADP
ejpam-7040	141	18	16	16	NUM
ejpam-7040	141	19	8509c31x	8509c31x	NUM
ejpam-7040	141	20	9	9	NUM
ejpam-7040	141	21	1981808640	1981808640	NUM
ejpam-7040	142	1	+	+	CCONJ
ejpam-7040	142	2	283c31x	283c31x	NUM
ejpam-7040	142	3	8	8	NUM
ejpam-7040	142	4	3932160	3932160	NUM
ejpam-7040	142	5	+	+	CCONJ
ejpam-7040	143	1	509c31x	509c31x	NUM
ejpam-7040	143	2	7	7	NUM
ejpam-7040	143	3	573440	573440	NUM
ejpam-7040	143	4	−	−	NOUN
ejpam-7040	143	5	743c31x	743c31x	NUM
ejpam-7040	143	6	6	6	NUM
ejpam-7040	143	7	122880	122880	NUM
ejpam-7040	143	8	−	−	NOUN
ejpam-7040	143	9	171c31x	171c31x	NUM
ejpam-7040	143	10	5	5	NUM
ejpam-7040	143	11	5120	5120	NUM
ejpam-7040	143	12	−	−	PROPN
ejpam-7040	143	13	13801c31x	13801c31x	NUM
ejpam-7040	143	14	12	12	NUM
ejpam-7040	143	15	871995801600	871995801600	NUM
ejpam-7040	143	16	−	−	PROPN
ejpam-7040	143	17	12659c31x	12659c31x	NUM
ejpam-7040	143	18	11	11	NUM
ejpam-7040	143	19	108999475200	108999475200	NUM
ejpam-7040	143	20	−	−	PROPN
ejpam-7040	143	21	3509c31x	3509c31x	NUM
ejpam-7040	143	22	10	10	NUM
ejpam-7040	143	23	8808038400	8808038400	NUM
ejpam-7040	143	24	+	+	CCONJ
ejpam-7040	143	25	.	.	PUNCT
ejpam-7040	143	26	.	.	PUNCT
ejpam-7040	143	27	.	.	PUNCT
ejpam-7040	144	1	,	,	PUNCT
ejpam-7040	144	2	u3(0	u3(0	PROPN
ejpam-7040	144	3	)	)	PUNCT
ejpam-7040	144	4	=	=	SYM
ejpam-7040	145	1	0	0	NUM
ejpam-7040	145	2	,	,	PUNCT
ejpam-7040	145	3	(	(	PUNCT
ejpam-7040	145	4	21	21	NUM
ejpam-7040	145	5	)	)	PUNCT
ejpam-7040	145	6	and	and	CCONJ
ejpam-7040	145	7	the	the	DET
ejpam-7040	145	8	fourth	fourth	ADJ
ejpam-7040	145	9	order	order	NOUN
ejpam-7040	145	10	deformation	deformation	NOUN
ejpam-7040	145	11	problem	problem	NOUN
ejpam-7040	145	12	u′4(x	u′4(x	PROPN
ejpam-7040	145	13	,	,	PUNCT
ejpam-7040	145	14	c1	c1	PROPN
ejpam-7040	145	15	,	,	PUNCT
ejpam-7040	145	16	c2	c2	PROPN
ejpam-7040	145	17	,	,	PUNCT
ejpam-7040	145	18	c3	c3	PROPN
ejpam-7040	145	19	,	,	PUNCT
ejpam-7040	145	20	c4	c4	NOUN
ejpam-7040	145	21	)	)	PUNCT
ejpam-7040	145	22	=	=	PRON
ejpam-7040	145	23	c1x	c1x	VERB
ejpam-7040	145	24	7	7	NUM
ejpam-7040	145	25	5040	5040	NUM
ejpam-7040	145	26	+	+	CCONJ
ejpam-7040	145	27	c1x	c1x	VERB
ejpam-7040	145	28	6	6	NUM
ejpam-7040	145	29	720	720	NUM
ejpam-7040	145	30	+	+	CCONJ
ejpam-7040	145	31	c1x	c1x	VERB
ejpam-7040	145	32	5	5	NUM
ejpam-7040	145	33	120	120	NUM
ejpam-7040	145	34	+	+	CCONJ
ejpam-7040	145	35	c1x	c1x	VERB
ejpam-7040	145	36	4	4	NUM
ejpam-7040	145	37	24	24	NUM
ejpam-7040	145	38	+	+	CCONJ
ejpam-7040	145	39	c1x	c1x	VERB
ejpam-7040	145	40	3	3	NUM
ejpam-7040	145	41	12	12	NUM
ejpam-7040	145	42	−	−	NOUN
ejpam-7040	145	43	c1x	c1x	VERB
ejpam-7040	145	44	2	2	NUM
ejpam-7040	145	45	4	4	NUM
ejpam-7040	145	46	−	−	PROPN
ejpam-7040	145	47	3c21x−	3c21x−	NUM
ejpam-7040	145	48	c1x	c1x	NOUN
ejpam-7040	145	49	−	−	PROPN
ejpam-7040	145	50	5c21x	5c21x	NUM
ejpam-7040	145	51	8	8	NUM
ejpam-7040	145	52	344064	344064	NUM
ejpam-7040	146	1	+	+	SYM
ejpam-7040	146	2	c21x	c21x	PROPN
ejpam-7040	146	3	7	7	NUM
ejpam-7040	146	4	2560	2560	NUM
ejpam-7040	146	5	+	+	CCONJ
ejpam-7040	146	6	3c21x	3c21x	NUM
ejpam-7040	146	7	6	6	NUM
ejpam-7040	146	8	1280	1280	NUM
ejpam-7040	146	9	+	+	CCONJ
ejpam-7040	146	10	31c21x	31c21x	NUM
ejpam-7040	146	11	5	5	NUM
ejpam-7040	146	12	1280	1280	NUM
ejpam-7040	146	13	+	+	CCONJ
ejpam-7040	146	14	33	33	NUM
ejpam-7040	146	15	128	128	NUM
ejpam-7040	146	16	c21x	c21x	NOUN
ejpam-7040	146	17	4	4	NUM
ejpam-7040	146	18	+	+	SYM
ejpam-7040	146	19	15	15	NUM
ejpam-7040	146	20	16	16	NUM
ejpam-7040	146	21	c21x	c21x	NOUN
ejpam-7040	146	22	3	3	NUM
ejpam-7040	146	23	−	−	NOUN
ejpam-7040	146	24	c21x	c21x	PROPN
ejpam-7040	146	25	10	10	NUM
ejpam-7040	146	26	34406400	34406400	NUM
ejpam-7040	146	27	−	−	NOUN
ejpam-7040	146	28	c21x	c21x	PROPN
ejpam-7040	146	29	9	9	NUM
ejpam-7040	146	30	1146880	1146880	NUM
ejpam-7040	146	31	+	+	CCONJ
ejpam-7040	146	32	25	25	NUM
ejpam-7040	146	33	16	16	NUM
ejpam-7040	146	34	c31x	c31x	NOUN
ejpam-7040	146	35	3	3	NUM
ejpam-7040	146	36	+	+	CCONJ
ejpam-7040	146	37	3	3	NUM
ejpam-7040	146	38	4	4	NUM
ejpam-7040	146	39	c31x	c31x	NOUN
ejpam-7040	146	40	2	2	NUM
ejpam-7040	146	41	−	−	NOUN
ejpam-7040	146	42	3c31x	3c31x	NUM
ejpam-7040	146	43	283c31x	283c31x	NOUN
ejpam-7040	146	44	8	8	NUM
ejpam-7040	146	45	7864320	7864320	NUM
ejpam-7040	146	46	+	+	CCONJ
ejpam-7040	146	47	509c31x	509c31x	NUM
ejpam-7040	146	48	7	7	NUM
ejpam-7040	146	49	1146880	1146880	NUM
ejpam-7040	146	50	−	−	NOUN
ejpam-7040	146	51	743c31x	743c31x	NUM
ejpam-7040	146	52	6	6	NUM
ejpam-7040	146	53	245760	245760	NUM
ejpam-7040	146	54	−	−	NOUN
ejpam-7040	146	55	171c31x	171c31x	NUM
ejpam-7040	146	56	5	5	NUM
ejpam-7040	146	57	10240	10240	NUM
ejpam-7040	146	58	+	+	CCONJ
ejpam-7040	146	59	141	141	NUM
ejpam-7040	146	60	512	512	NUM
ejpam-7040	146	61	c31x	c31x	NOUN
ejpam-7040	146	62	4	4	NUM
ejpam-7040	146	63	−	−	NOUN
ejpam-7040	146	64	12659c31x	12659c31x	NUM
ejpam-7040	146	65	11	11	NUM
ejpam-7040	146	66	217998950400	217998950400	NUM
ejpam-7040	146	67	−	−	NOUN
ejpam-7040	146	68	3509c31x	3509c31x	NUM
ejpam-7040	146	69	10	10	NUM
ejpam-7040	146	70	17616076800	17616076800	NUM
ejpam-7040	146	71	+	+	CCONJ
ejpam-7040	146	72	8509c31x	8509c31x	NUM
ejpam-7040	146	73	9	9	NUM
ejpam-7040	146	74	3963617280	3963617280	NUM
ejpam-7040	146	75	+	+	PUNCT
ejpam-7040	146	76	.	.	PUNCT
ejpam-7040	146	77	.	.	PUNCT
ejpam-7040	146	78	.	.	PUNCT
ejpam-7040	147	1	,	,	PUNCT
ejpam-7040	147	2	u4(0	u4(0	PROPN
ejpam-7040	147	3	)	)	PUNCT
ejpam-7040	147	4	=	=	SYM
ejpam-7040	148	1	0	0	PUNCT
ejpam-7040	148	2	(	(	PUNCT
ejpam-7040	148	3	22	22	NUM
ejpam-7040	148	4	)	)	PUNCT
ejpam-7040	148	5	by	by	ADP
ejpam-7040	148	6	solving	solve	VERB
ejpam-7040	148	7	eqs	eqs	PROPN
ejpam-7040	148	8	.	.	PUNCT
ejpam-7040	149	1	(	(	PUNCT
ejpam-7040	149	2	17	17	NUM
ejpam-7040	149	3	)	)	PUNCT
ejpam-7040	149	4	,	,	PUNCT
ejpam-7040	149	5	(	(	PUNCT
ejpam-7040	149	6	19	19	NUM
ejpam-7040	149	7	)	)	PUNCT
ejpam-7040	149	8	,	,	PUNCT
ejpam-7040	149	9	(	(	PUNCT
ejpam-7040	149	10	20	20	NUM
ejpam-7040	149	11	)	)	PUNCT
ejpam-7040	149	12	,	,	PUNCT
ejpam-7040	149	13	(	(	PUNCT
ejpam-7040	149	14	21	21	NUM
ejpam-7040	149	15	)	)	PUNCT
ejpam-7040	149	16	and	and	CCONJ
ejpam-7040	149	17	(	(	PUNCT
ejpam-7040	149	18	22	22	NUM
ejpam-7040	149	19	)	)	PUNCT
ejpam-7040	149	20	and	and	CCONJ
ejpam-7040	149	21	substituting	substitute	VERB
ejpam-7040	149	22	them	they	PRON
ejpam-7040	149	23	into	into	ADP
ejpam-7040	149	24	eq.(18	eq.(18	NOUN
ejpam-7040	149	25	)	)	PUNCT
ejpam-7040	149	26	,	,	PUNCT
ejpam-7040	149	27	the	the	DET
ejpam-7040	149	28	fourt	fourt	ADJ
ejpam-7040	149	29	-	-	PUNCT
ejpam-7040	149	30	order	order	NOUN
ejpam-7040	149	31	approximate	approximate	ADJ
ejpam-7040	149	32	solution	solution	NOUN
ejpam-7040	149	33	by	by	ADP
ejpam-7040	149	34	oham	oham	NOUN
ejpam-7040	149	35	for	for	ADP
ejpam-7040	149	36	p	p	NOUN
ejpam-7040	149	37	=	=	NOUN
ejpam-7040	149	38	1	1	NUM
ejpam-7040	149	39	,	,	PUNCT
ejpam-7040	149	40	is	be	AUX
ejpam-7040	149	41	:	:	PUNCT
ejpam-7040	149	42	ũ(x	ũ(x	ADJ
ejpam-7040	149	43	,	,	PUNCT
ejpam-7040	149	44	c1	c1	PROPN
ejpam-7040	149	45	,	,	PUNCT
ejpam-7040	149	46	c2	c2	PROPN
ejpam-7040	149	47	,	,	PUNCT
ejpam-7040	149	48	c3	c3	PROPN
ejpam-7040	149	49	,	,	PUNCT
ejpam-7040	149	50	c4	c4	NOUN
ejpam-7040	149	51	)	)	PUNCT
ejpam-7040	149	52	=	=	SYM
ejpam-7040	149	53	u0(x	u0(x	NOUN
ejpam-7040	149	54	)	)	PUNCT
ejpam-7040	150	1	+	+	CCONJ
ejpam-7040	150	2	u1(x	u1(x	PROPN
ejpam-7040	150	3	,	,	PUNCT
ejpam-7040	150	4	c1	c1	NOUN
ejpam-7040	150	5	)	)	PUNCT
ejpam-7040	151	1	+	+	CCONJ
ejpam-7040	151	2	u2(x	u2(x	PROPN
ejpam-7040	151	3	,	,	PUNCT
ejpam-7040	151	4	c1	c1	NOUN
ejpam-7040	151	5	,	,	PUNCT
ejpam-7040	151	6	c2	c2	PROPN
ejpam-7040	151	7	)	)	PUNCT
ejpam-7040	152	1	+	+	PROPN
ejpam-7040	152	2	u3(x	u3(x	PROPN
ejpam-7040	152	3	,	,	PUNCT
ejpam-7040	152	4	c1	c1	NOUN
ejpam-7040	152	5	,	,	PUNCT
ejpam-7040	152	6	c2	c2	PROPN
ejpam-7040	152	7	,	,	PUNCT
ejpam-7040	152	8	c3	c3	PROPN
ejpam-7040	152	9	)	)	PUNCT
ejpam-7040	153	1	+	+	CCONJ
ejpam-7040	153	2	+	+	PUNCT
ejpam-7040	153	3	u4(x	u4(x	PROPN
ejpam-7040	153	4	,	,	PUNCT
ejpam-7040	153	5	c1	c1	NOUN
ejpam-7040	153	6	,	,	PUNCT
ejpam-7040	153	7	c2	c2	PROPN
ejpam-7040	153	8	,	,	PUNCT
ejpam-7040	153	9	c3	c3	PROPN
ejpam-7040	153	10	,	,	PUNCT
ejpam-7040	153	11	c4	c4	NOUN
ejpam-7040	153	12	)	)	PUNCT
ejpam-7040	153	13	.	.	PUNCT
ejpam-7040	154	1	(	(	PUNCT
ejpam-7040	154	2	23	23	NUM
ejpam-7040	154	3	)	)	PUNCT
ejpam-7040	154	4	by	by	ADP
ejpam-7040	154	5	using	use	VERB
ejpam-7040	154	6	the	the	DET
ejpam-7040	154	7	proposed	propose	VERB
ejpam-7040	154	8	method	method	NOUN
ejpam-7040	154	9	of	of	ADP
ejpam-7040	154	10	section	section	NOUN
ejpam-7040	154	11	2	2	NUM
ejpam-7040	154	12	on	on	ADP
ejpam-7040	154	13	[	[	X
ejpam-7040	154	14	0	0	NUM
ejpam-7040	154	15	,	,	PUNCT
ejpam-7040	154	16	1	1	NUM
ejpam-7040	154	17	]	]	PUNCT
ejpam-7040	154	18	,	,	PUNCT
ejpam-7040	154	19	we	we	PRON
ejpam-7040	154	20	use	use	VERB
ejpam-7040	154	21	the	the	DET
ejpam-7040	154	22	residual	residual	ADJ
ejpam-7040	154	23	error	error	NOUN
ejpam-7040	154	24	,	,	PUNCT
ejpam-7040	154	25	r	r	NOUN
ejpam-7040	154	26	=	=	SYM
ejpam-7040	154	27	ũ′	ũ′	NOUN
ejpam-7040	154	28	(	(	PUNCT
ejpam-7040	154	29	x	x	NOUN
ejpam-7040	154	30	,	,	PUNCT
ejpam-7040	154	31	c1	c1	NOUN
ejpam-7040	154	32	,	,	PUNCT
ejpam-7040	154	33	·	·	PUNCT
ejpam-7040	154	34	·	·	PUNCT
ejpam-7040	154	35	·	·	PUNCT
ejpam-7040	154	36	,	,	PUNCT
ejpam-7040	154	37	c4)−	c4)−	VERB
ejpam-7040	154	38	ũ2	ũ2	PROPN
ejpam-7040	154	39	(	(	PUNCT
ejpam-7040	154	40	x	x	SYM
ejpam-7040	154	41	2	2	NUM
ejpam-7040	154	42	,	,	PUNCT
ejpam-7040	154	43	c1	c1	NOUN
ejpam-7040	154	44	,	,	PUNCT
ejpam-7040	154	45	·	·	PUNCT
ejpam-7040	154	46	·	·	PUNCT
ejpam-7040	154	47	·	·	PUNCT
ejpam-7040	154	48	,	,	PUNCT
ejpam-7040	154	49	c4	c4	NOUN
ejpam-7040	154	50	)	)	PUNCT
ejpam-7040	155	1	+	+	PROPN
ejpam-7040	155	2	ex	ex	X
ejpam-7040	155	3	−	−	PROPN
ejpam-7040	155	4	∫	∫	PROPN
ejpam-7040	155	5	x	x	SYM
ejpam-7040	155	6	0	0	NUM
ejpam-7040	155	7	u2	u2	PROPN
ejpam-7040	155	8	(	(	PUNCT
ejpam-7040	155	9	t	t	PROPN
ejpam-7040	155	10	2	2	NUM
ejpam-7040	155	11	,	,	PUNCT
ejpam-7040	155	12	c1	c1	NOUN
ejpam-7040	155	13	,	,	PUNCT
ejpam-7040	155	14	·	·	PUNCT
ejpam-7040	155	15	·	·	PUNCT
ejpam-7040	155	16	·	·	PUNCT
ejpam-7040	155	17	,	,	PUNCT
ejpam-7040	155	18	c4)dt−	c4)dt−	PROPN
ejpam-7040	155	19	1	1	NUM
ejpam-7040	155	20	.	.	PUNCT
ejpam-7040	156	1	(	(	PUNCT
ejpam-7040	156	2	24	24	NUM
ejpam-7040	156	3	)	)	PUNCT
ejpam-7040	156	4	the	the	DET
ejpam-7040	156	5	less	less	ADV
ejpam-7040	156	6	square	square	ADJ
ejpam-7040	156	7	error	error	NOUN
ejpam-7040	156	8	can	can	AUX
ejpam-7040	156	9	be	be	AUX
ejpam-7040	156	10	formed	form	VERB
ejpam-7040	156	11	as	as	ADP
ejpam-7040	156	12	j(c1	j(c1	PROPN
ejpam-7040	156	13	,	,	PUNCT
ejpam-7040	156	14	·	·	PUNCT
ejpam-7040	156	15	·	·	PUNCT
ejpam-7040	156	16	·	·	PUNCT
ejpam-7040	156	17	,	,	PUNCT
ejpam-7040	156	18	c4	c4	NOUN
ejpam-7040	156	19	)	)	PUNCT
ejpam-7040	156	20	=	=	PUNCT
ejpam-7040	157	1	∫	∫	PROPN
ejpam-7040	157	2	1	1	NUM
ejpam-7040	157	3	0	0	NUM
ejpam-7040	157	4	r2dx	r2dx	NUM
ejpam-7040	157	5	,	,	PUNCT
ejpam-7040	157	6	(	(	PUNCT
ejpam-7040	157	7	25	25	NUM
ejpam-7040	157	8	)	)	PUNCT
ejpam-7040	157	9	and	and	CCONJ
ejpam-7040	157	10	∂j(c1	∂j(c1	NOUN
ejpam-7040	157	11	,	,	PUNCT
ejpam-7040	157	12	·	·	PUNCT
ejpam-7040	157	13	·	·	PUNCT
ejpam-7040	157	14	·	·	PUNCT
ejpam-7040	157	15	,	,	PUNCT
ejpam-7040	157	16	c4	c4	NOUN
ejpam-7040	157	17	)	)	PUNCT
ejpam-7040	157	18	∂c1	∂c1	NOUN
ejpam-7040	157	19	=	=	SYM
ejpam-7040	157	20	∂j(c1	∂j(c1	PROPN
ejpam-7040	157	21	,	,	PUNCT
ejpam-7040	157	22	c2	c2	PROPN
ejpam-7040	157	23	,	,	PUNCT
ejpam-7040	157	24	c3	c3	PROPN
ejpam-7040	157	25	)	)	PUNCT
ejpam-7040	157	26	∂c2	∂c2	NOUN
ejpam-7040	157	27	=	=	SYM
ejpam-7040	157	28	∂j(c1	∂j(c1	NOUN
ejpam-7040	157	29	,	,	PUNCT
ejpam-7040	157	30	c2	c2	PROPN
ejpam-7040	157	31	,	,	PUNCT
ejpam-7040	157	32	c3	c3	PROPN
ejpam-7040	157	33	)	)	PUNCT
ejpam-7040	157	34	∂c3	∂c3	PROPN
ejpam-7040	157	35	=	=	SYM
ejpam-7040	157	36	∂j(c1	∂j(c1	PROPN
ejpam-7040	157	37	,	,	PUNCT
ejpam-7040	157	38	c2	c2	PROPN
ejpam-7040	157	39	,	,	PUNCT
ejpam-7040	157	40	c3	c3	PROPN
ejpam-7040	157	41	,	,	PUNCT
ejpam-7040	157	42	c4	c4	NOUN
ejpam-7040	157	43	)	)	PUNCT
ejpam-7040	157	44	∂c4	∂c4	PROPN
ejpam-7040	157	45	=	=	SYM
ejpam-7040	157	46	0	0	NUM
ejpam-7040	157	47	.	.	PUNCT
ejpam-7040	158	1	(	(	PUNCT
ejpam-7040	158	2	26	26	NUM
ejpam-7040	158	3	)	)	PUNCT
ejpam-7040	158	4	thus	thus	ADV
ejpam-7040	158	5	,	,	PUNCT
ejpam-7040	158	6	the	the	DET
ejpam-7040	158	7	following	follow	VERB
ejpam-7040	158	8	optimal	optimal	ADJ
ejpam-7040	158	9	values	value	NOUN
ejpam-7040	158	10	of	of	ADP
ejpam-7040	158	11	ci	ci	NOUN
ejpam-7040	158	12	’s	’s	PART
ejpam-7040	158	13	are	be	AUX
ejpam-7040	158	14	obtained	obtain	VERB
ejpam-7040	158	15	:	:	PUNCT
ejpam-7040	158	16	c1	c1	NOUN
ejpam-7040	158	17	=	=	PUNCT
ejpam-7040	158	18	−1.03257	−1.03257	PROPN
ejpam-7040	158	19	,	,	PUNCT
ejpam-7040	158	20	c2	c2	PROPN
ejpam-7040	158	21	=	=	PUNCT
ejpam-7040	158	22	3.75206×	3.75206×	NUM
ejpam-7040	158	23	10−6	10−6	NUM
ejpam-7040	158	24	,	,	PUNCT
ejpam-7040	158	25	c3	c3	PROPN
ejpam-7040	158	26	=	=	SYM
ejpam-7040	158	27	−8.89991×	−8.89991×	NUM
ejpam-7040	158	28	10−7	10−7	NUM
ejpam-7040	158	29	c4	c4	NOUN
ejpam-7040	158	30	=	=	NOUN
ejpam-7040	158	31	−4.48187×	−4.48187×	NUM
ejpam-7040	158	32	10−6	10−6	NUM
ejpam-7040	158	33	.	.	PUNCT
ejpam-7040	159	1	n.	n.	PROPN
ejpam-7040	159	2	anakira	anakira	PROPN
ejpam-7040	159	3	et	et	PROPN
ejpam-7040	159	4	al	al	PROPN
ejpam-7040	159	5	.	.	PUNCT
ejpam-7040	159	6	/	/	SYM
ejpam-7040	159	7	eur	eur	PROPN
ejpam-7040	159	8	.	.	PUNCT
ejpam-7040	160	1	j.	j.	PROPN
ejpam-7040	160	2	pure	pure	PROPN
ejpam-7040	160	3	appl	appl	PROPN
ejpam-7040	160	4	.	.	PROPN
ejpam-7040	160	5	math	math	PROPN
ejpam-7040	160	6	,	,	PUNCT
ejpam-7040	160	7	18	18	NUM
ejpam-7040	160	8	(	(	PUNCT
ejpam-7040	160	9	4	4	NUM
ejpam-7040	160	10	)	)	PUNCT
ejpam-7040	160	11	(	(	PUNCT
ejpam-7040	160	12	2025	2025	NUM
ejpam-7040	160	13	)	)	PUNCT
ejpam-7040	160	14	,	,	PUNCT
ejpam-7040	160	15	7040	7040	NUM
ejpam-7040	160	16	7	7	NUM
ejpam-7040	160	17	of	of	ADP
ejpam-7040	160	18	16	16	NUM
ejpam-7040	160	19	in	in	ADP
ejpam-7040	160	20	this	this	DET
ejpam-7040	160	21	case	case	NOUN
ejpam-7040	160	22	,	,	PUNCT
ejpam-7040	160	23	our	our	PRON
ejpam-7040	160	24	approximate	approximate	ADJ
ejpam-7040	160	25	solution	solution	NOUN
ejpam-7040	160	26	is	be	AUX
ejpam-7040	160	27	ũ(x	ũ(x	PROPN
ejpam-7040	160	28	,	,	PUNCT
ejpam-7040	160	29	c1	c1	NOUN
ejpam-7040	160	30	,	,	PUNCT
ejpam-7040	160	31	·	·	PUNCT
ejpam-7040	160	32	·	·	PUNCT
ejpam-7040	160	33	·	·	PUNCT
ejpam-7040	160	34	,	,	PUNCT
ejpam-7040	160	35	c4	c4	NOUN
ejpam-7040	160	36	)	)	PUNCT
ejpam-7040	160	37	=	=	SYM
ejpam-7040	160	38	1	1	NUM
ejpam-7040	161	1	+	+	CCONJ
ejpam-7040	161	2	x+	x+	SYM
ejpam-7040	161	3	0.5000016432167662x2	0.5000016432167662x2	NUM
ejpam-7040	161	4	+	+	CCONJ
ejpam-7040	161	5	0.16667895652842996x3	0.16667895652842996x3	NUM
ejpam-7040	162	1	58556x4	58556x4	NUM
ejpam-7040	163	1	+	+	NUM
ejpam-7040	163	2	0.00830125122279865x5	0.00830125122279865x5	NUM
ejpam-7040	164	1	+	+	NUM
ejpam-7040	164	2	0.0014533846838279182x6	0.0014533846838279182x6	NUM
ejpam-7040	164	3	+0.000205626800537755x7	+0.000205626800537755x7	PROPN
ejpam-7040	164	4	+	+	CCONJ
ejpam-7040	164	5	0.000006767376975033287x8	0.000006767376975033287x8	NUM
ejpam-7040	164	6	−0.000001498570429380608x9	−0.000001498570429380608x9	VERB
ejpam-7040	164	7	−	−	NOUN
ejpam-7040	164	8	6.299736808070288×	6.299736808070288×	NUM
ejpam-7040	164	9	10−7x10	10−7x10	NUM
ejpam-7040	164	10	−6.739802323017767×	−6.739802323017767×	NOUN
ejpam-7040	165	1	10−8x11−	10−8x11−	NUM
ejpam-7040	165	2	3.758169088190813×	3.758169088190813×	NUM
ejpam-7040	165	3	10−9x12	10−9x12	NUM
ejpam-7040	165	4	−7.089767587924317×	−7.089767587924317×	NOUN
ejpam-7040	165	5	10−11x13	10−11x13	NUM
ejpam-7040	165	6	+	+	CCONJ
ejpam-7040	165	7	9.59982558191048×	9.59982558191048×	NUM
ejpam-7040	165	8	10−12x14	10−12x14	NUM
ejpam-7040	166	1	+1.309622277385672×	+1.309622277385672×	PROPN
ejpam-7040	166	2	10−12x15	10−12x15	NUM
ejpam-7040	166	3	+	+	NOUN
ejpam-7040	166	4	8.75719622963593×	8.75719622963593×	NUM
ejpam-7040	166	5	10−14x16	10−14x16	NUM
ejpam-7040	166	6	+3.636632322436979×	+3.636632322436979×	PROPN
ejpam-7040	166	7	10−15x17	10−15x17	NUM
ejpam-7040	166	8	+	+	CCONJ
ejpam-7040	166	9	9.172211052795001×	9.172211052795001×	NUM
ejpam-7040	166	10	10−17x18	10−17x18	NOUN
ejpam-7040	167	1	+1.443596286575417×	+1.443596286575417×	PROPN
ejpam-7040	167	2	10−18x19	10−18x19	NOUN
ejpam-7040	168	1	+	+	NOUN
ejpam-7040	168	2	2.522219242033677×	2.522219242033677×	NUM
ejpam-7040	168	3	10−20x20	10−20x20	X
ejpam-7040	168	4	+2.258535766371391×	+2.258535766371391×	PROPN
ejpam-7040	168	5	10−22x21	10−22x21	NUM
ejpam-7040	168	6	(	(	PUNCT
ejpam-7040	168	7	27	27	NUM
ejpam-7040	168	8	)	)	PUNCT
ejpam-7040	168	9	as	as	SCONJ
ejpam-7040	168	10	we	we	PRON
ejpam-7040	168	11	observed	observe	VERB
ejpam-7040	168	12	,	,	PUNCT
ejpam-7040	168	13	the	the	DET
ejpam-7040	168	14	accuracy	accuracy	NOUN
ejpam-7040	168	15	of	of	ADP
ejpam-7040	168	16	the	the	DET
ejpam-7040	168	17	oham	oham	NOUN
ejpam-7040	168	18	strongly	strongly	ADV
ejpam-7040	168	19	depends	depend	VERB
ejpam-7040	168	20	on	on	ADP
ejpam-7040	168	21	the	the	DET
ejpam-7040	168	22	number	number	NOUN
ejpam-7040	168	23	of	of	ADP
ejpam-7040	168	24	approximation	approximation	NOUN
ejpam-7040	168	25	terms	term	NOUN
ejpam-7040	168	26	used	use	VERB
ejpam-7040	168	27	in	in	ADP
ejpam-7040	168	28	the	the	DET
ejpam-7040	168	29	series	series	NOUN
ejpam-7040	168	30	solution	solution	NOUN
ejpam-7040	168	31	.	.	PUNCT
ejpam-7040	169	1	while	while	SCONJ
ejpam-7040	169	2	increasing	increase	VERB
ejpam-7040	169	3	the	the	DET
ejpam-7040	169	4	number	number	NOUN
ejpam-7040	169	5	of	of	ADP
ejpam-7040	169	6	terms	term	NOUN
ejpam-7040	169	7	generally	generally	ADV
ejpam-7040	169	8	improves	improve	VERB
ejpam-7040	169	9	the	the	DET
ejpam-7040	169	10	precision	precision	NOUN
ejpam-7040	169	11	of	of	ADP
ejpam-7040	169	12	the	the	DET
ejpam-7040	169	13	obtained	obtain	VERB
ejpam-7040	169	14	results	result	NOUN
ejpam-7040	169	15	and	and	CCONJ
ejpam-7040	169	16	reduces	reduce	VERB
ejpam-7040	169	17	the	the	DET
ejpam-7040	169	18	error	error	NOUN
ejpam-7040	169	19	,	,	PUNCT
ejpam-7040	169	20	it	it	PRON
ejpam-7040	169	21	also	also	ADV
ejpam-7040	169	22	leads	lead	VERB
ejpam-7040	169	23	to	to	ADP
ejpam-7040	169	24	heavier	heavy	ADJ
ejpam-7040	169	25	computational	computational	ADJ
ejpam-7040	169	26	work	work	NOUN
ejpam-7040	169	27	and	and	CCONJ
ejpam-7040	169	28	longer	long	ADJ
ejpam-7040	169	29	calculation	calculation	NOUN
ejpam-7040	169	30	time	time	NOUN
ejpam-7040	169	31	,	,	PUNCT
ejpam-7040	169	32	which	which	PRON
ejpam-7040	169	33	can	can	AUX
ejpam-7040	169	34	limit	limit	VERB
ejpam-7040	169	35	the	the	DET
ejpam-7040	169	36	efficiency	efficiency	NOUN
ejpam-7040	169	37	of	of	ADP
ejpam-7040	169	38	the	the	DET
ejpam-7040	169	39	method	method	NOUN
ejpam-7040	169	40	when	when	SCONJ
ejpam-7040	169	41	applied	apply	VERB
ejpam-7040	169	42	to	to	ADP
ejpam-7040	169	43	complex	complex	ADJ
ejpam-7040	169	44	nonlinear	nonlinear	ADJ
ejpam-7040	169	45	problems	problem	NOUN
ejpam-7040	169	46	.	.	PUNCT
ejpam-7040	170	1	these	these	DET
ejpam-7040	170	2	practical	practical	ADJ
ejpam-7040	170	3	difficulties	difficulty	NOUN
ejpam-7040	170	4	—	—	PUNCT
ejpam-7040	170	5	namely	namely	ADV
ejpam-7040	170	6	the	the	DET
ejpam-7040	170	7	high	high	ADJ
ejpam-7040	170	8	computational	computational	ADJ
ejpam-7040	170	9	cost	cost	NOUN
ejpam-7040	170	10	,	,	PUNCT
ejpam-7040	170	11	extended	extend	VERB
ejpam-7040	170	12	time	time	NOUN
ejpam-7040	170	13	requirements	requirement	NOUN
ejpam-7040	170	14	,	,	PUNCT
ejpam-7040	170	15	and	and	CCONJ
ejpam-7040	170	16	the	the	DET
ejpam-7040	170	17	necessity	necessity	NOUN
ejpam-7040	170	18	of	of	ADP
ejpam-7040	170	19	employing	employ	VERB
ejpam-7040	170	20	higher	high	ADJ
ejpam-7040	170	21	-	-	PUNCT
ejpam-7040	170	22	order	order	NOUN
ejpam-7040	170	23	approximation	approximation	NOUN
ejpam-7040	170	24	terms	term	NOUN
ejpam-7040	170	25	to	to	PART
ejpam-7040	170	26	achieve	achieve	VERB
ejpam-7040	170	27	remarkably	remarkably	ADV
ejpam-7040	170	28	low	low	ADJ
ejpam-7040	170	29	errors	error	NOUN
ejpam-7040	170	30	motivated	motivate	VERB
ejpam-7040	170	31	the	the	DET
ejpam-7040	170	32	modification	modification	NOUN
ejpam-7040	170	33	of	of	ADP
ejpam-7040	170	34	oham	oham	NOUN
ejpam-7040	170	35	.	.	PUNCT
ejpam-7040	171	1	the	the	DET
ejpam-7040	171	2	proposed	propose	VERB
ejpam-7040	171	3	modification	modification	NOUN
ejpam-7040	171	4	is	be	AUX
ejpam-7040	171	5	built	build	VERB
ejpam-7040	171	6	upon	upon	SCONJ
ejpam-7040	171	7	the	the	DET
ejpam-7040	171	8	construction	construction	NOUN
ejpam-7040	171	9	of	of	ADP
ejpam-7040	171	10	the	the	DET
ejpam-7040	171	11	auxiliary	auxiliary	ADJ
ejpam-7040	171	12	function	function	NOUN
ejpam-7040	171	13	h(p	h(p	PROPN
ejpam-7040	171	14	)	)	PUNCT
ejpam-7040	171	15	(	(	PUNCT
ejpam-7040	171	16	eq.(5	eq.(5	NOUN
ejpam-7040	171	17	)	)	PUNCT
ejpam-7040	171	18	)	)	PUNCT
ejpam-7040	171	19	in	in	ADP
ejpam-7040	171	20	the	the	DET
ejpam-7040	171	21	standard	standard	ADJ
ejpam-7040	171	22	oham	oham	NOUN
ejpam-7040	171	23	.	.	PUNCT
ejpam-7040	172	1	this	this	DET
ejpam-7040	172	2	formulation	formulation	NOUN
ejpam-7040	172	3	offers	offer	VERB
ejpam-7040	172	4	enhanced	enhance	VERB
ejpam-7040	172	5	flexibility	flexibility	NOUN
ejpam-7040	172	6	in	in	ADP
ejpam-7040	172	7	controlling	control	VERB
ejpam-7040	172	8	the	the	DET
ejpam-7040	172	9	convergence	convergence	NOUN
ejpam-7040	172	10	of	of	ADP
ejpam-7040	172	11	the	the	DET
ejpam-7040	172	12	series	series	NOUN
ejpam-7040	172	13	solution	solution	NOUN
ejpam-7040	172	14	and	and	CCONJ
ejpam-7040	172	15	enables	enable	VERB
ejpam-7040	172	16	the	the	DET
ejpam-7040	172	17	method	method	NOUN
ejpam-7040	172	18	to	to	PART
ejpam-7040	172	19	effectively	effectively	ADV
ejpam-7040	172	20	applied	apply	VERB
ejpam-7040	172	21	to	to	ADP
ejpam-7040	172	22	a	a	DET
ejpam-7040	172	23	wider	wide	ADJ
ejpam-7040	172	24	class	class	NOUN
ejpam-7040	172	25	of	of	ADP
ejpam-7040	172	26	nonlinear	nonlinear	ADJ
ejpam-7040	172	27	problems	problem	NOUN
ejpam-7040	172	28	with	with	ADP
ejpam-7040	172	29	only	only	ADV
ejpam-7040	172	30	one	one	NUM
ejpam-7040	172	31	order	order	NOUN
ejpam-7040	172	32	of	of	ADP
ejpam-7040	172	33	approximation	approximation	NOUN
ejpam-7040	172	34	.	.	PUNCT
ejpam-7040	173	1	this	this	DET
ejpam-7040	173	2	feature	feature	NOUN
ejpam-7040	173	3	represents	represent	VERB
ejpam-7040	173	4	the	the	DET
ejpam-7040	173	5	main	main	ADJ
ejpam-7040	173	6	advantage	advantage	NOUN
ejpam-7040	173	7	of	of	ADP
ejpam-7040	173	8	the	the	DET
ejpam-7040	173	9	proposed	propose	VERB
ejpam-7040	173	10	modification	modification	NOUN
ejpam-7040	173	11	,	,	PUNCT
ejpam-7040	173	12	as	as	SCONJ
ejpam-7040	173	13	it	it	PRON
ejpam-7040	173	14	significantly	significantly	ADV
ejpam-7040	173	15	save	save	VERB
ejpam-7040	173	16	time	time	NOUN
ejpam-7040	173	17	,	,	PUNCT
ejpam-7040	173	18	reduces	reduce	VERB
ejpam-7040	173	19	effort	effort	NOUN
ejpam-7040	173	20	,	,	PUNCT
ejpam-7040	173	21	and	and	CCONJ
ejpam-7040	173	22	minimizes	minimize	VERB
ejpam-7040	173	23	computational	computational	ADJ
ejpam-7040	173	24	calculations	calculation	NOUN
ejpam-7040	173	25	as	as	SCONJ
ejpam-7040	173	26	we	we	PRON
ejpam-7040	173	27	will	will	AUX
ejpam-7040	173	28	see	see	VERB
ejpam-7040	173	29	on	on	ADP
ejpam-7040	173	30	next	next	ADJ
ejpam-7040	173	31	part	part	NOUN
ejpam-7040	173	32	.	.	PUNCT
ejpam-7040	174	1	2.2	2.2	NUM
ejpam-7040	174	2	.	.	PUNCT
ejpam-7040	175	1	moham	moham	NOUN
ejpam-7040	175	2	solution	solution	NOUN
ejpam-7040	175	3	the	the	DET
ejpam-7040	175	4	moham	moham	NOUN
ejpam-7040	175	5	solution	solution	NOUN
ejpam-7040	175	6	is	be	AUX
ejpam-7040	175	7	obtained	obtain	VERB
ejpam-7040	175	8	by	by	ADP
ejpam-7040	175	9	constructing	construct	VERB
ejpam-7040	175	10	a	a	DET
ejpam-7040	175	11	family	family	NOUN
ejpam-7040	175	12	of	of	ADP
ejpam-7040	175	13	homotopy	homotopy	NOUN
ejpam-7040	175	14	equations	equation	NOUN
ejpam-7040	175	15	similar	similar	ADJ
ejpam-7040	175	16	to	to	ADP
ejpam-7040	175	17	the	the	DET
ejpam-7040	175	18	standard	standard	ADJ
ejpam-7040	175	19	oham	oham	NOUN
ejpam-7040	175	20	framework	framework	NOUN
ejpam-7040	175	21	,	,	PUNCT
ejpam-7040	175	22	but	but	CCONJ
ejpam-7040	175	23	with	with	ADP
ejpam-7040	175	24	an	an	DET
ejpam-7040	175	25	important	important	ADJ
ejpam-7040	175	26	modification	modification	NOUN
ejpam-7040	175	27	in	in	ADP
ejpam-7040	175	28	the	the	DET
ejpam-7040	175	29	design	design	NOUN
ejpam-7040	175	30	of	of	ADP
ejpam-7040	175	31	the	the	DET
ejpam-7040	175	32	auxiliary	auxiliary	ADJ
ejpam-7040	175	33	function	function	NOUN
ejpam-7040	175	34	.	.	PUNCT
ejpam-7040	176	1	this	this	DET
ejpam-7040	176	2	new	new	ADJ
ejpam-7040	176	3	construction	construction	NOUN
ejpam-7040	176	4	of	of	ADP
ejpam-7040	176	5	the	the	DET
ejpam-7040	176	6	auxiliary	auxiliary	ADJ
ejpam-7040	176	7	function	function	NOUN
ejpam-7040	176	8	introduces	introduce	VERB
ejpam-7040	176	9	additional	additional	ADJ
ejpam-7040	176	10	flexibility	flexibility	NOUN
ejpam-7040	176	11	through	through	ADP
ejpam-7040	176	12	adjustable	adjustable	ADJ
ejpam-7040	176	13	convergence	convergence	NOUN
ejpam-7040	176	14	-	-	PUNCT
ejpam-7040	176	15	control	control	NOUN
ejpam-7040	176	16	parameters	parameter	NOUN
ejpam-7040	176	17	,	,	PUNCT
ejpam-7040	176	18	which	which	PRON
ejpam-7040	176	19	allows	allow	VERB
ejpam-7040	176	20	the	the	DET
ejpam-7040	176	21	method	method	NOUN
ejpam-7040	176	22	to	to	PART
ejpam-7040	176	23	achieve	achieve	VERB
ejpam-7040	176	24	accurate	accurate	ADJ
ejpam-7040	176	25	results	result	NOUN
ejpam-7040	176	26	using	use	VERB
ejpam-7040	176	27	only	only	ADV
ejpam-7040	176	28	a	a	DET
ejpam-7040	176	29	single	single	ADJ
ejpam-7040	176	30	term	term	NOUN
ejpam-7040	176	31	of	of	ADP
ejpam-7040	176	32	the	the	DET
ejpam-7040	176	33	oham	oham	ADJ
ejpam-7040	176	34	order	order	NOUN
ejpam-7040	176	35	of	of	ADP
ejpam-7040	176	36	approximation	approximation	NOUN
ejpam-7040	176	37	.	.	PUNCT
ejpam-7040	177	1	based	base	VERB
ejpam-7040	177	2	on	on	ADP
ejpam-7040	177	3	eq	eq	PROPN
ejpam-7040	177	4	.	.	PUNCT
ejpam-7040	178	1	(	(	PUNCT
ejpam-7040	178	2	16	16	NUM
ejpam-7040	178	3	)	)	PUNCT
ejpam-7040	178	4	,	,	PUNCT
ejpam-7040	178	5	and	and	CCONJ
ejpam-7040	178	6	by	by	ADP
ejpam-7040	178	7	employing	employ	VERB
ejpam-7040	178	8	eq	eq	ADP
ejpam-7040	178	9	.	.	PUNCT
ejpam-7040	179	1	(	(	PUNCT
ejpam-7040	179	2	5	5	NUM
ejpam-7040	179	3	)	)	PUNCT
ejpam-7040	179	4	as	as	SCONJ
ejpam-7040	179	5	follows	follow	VERB
ejpam-7040	179	6	u′(x	u′(x	PRON
ejpam-7040	179	7	;	;	PUNCT
ejpam-7040	179	8	p)−	p)−	NOUN
ejpam-7040	179	9	u0(x	u0(x	PROPN
ejpam-7040	179	10	)	)	PUNCT
ejpam-7040	180	1	+	+	CCONJ
ejpam-7040	180	2	(	(	PUNCT
ejpam-7040	180	3	n∑	n∑	INTJ
ejpam-7040	180	4	n=1	n=1	PROPN
ejpam-7040	180	5	(	(	PUNCT
ejpam-7040	180	6	m∑	m∑	CCONJ
ejpam-7040	180	7	k=0	k=0	PROPN
ejpam-7040	180	8	cnkx	cnkx	PROPN
ejpam-7040	180	9	k	k	PROPN
ejpam-7040	180	10	)	)	PUNCT
ejpam-7040	180	11	qn	qn	PROPN
ejpam-7040	180	12	)	)	PUNCT
ejpam-7040	180	13	(	(	PUNCT
ejpam-7040	180	14	(	(	PUNCT
ejpam-7040	180	15	u′(x)−	u′(x)−	PROPN
ejpam-7040	180	16	u2	u2	PROPN
ejpam-7040	180	17	(	(	PUNCT
ejpam-7040	180	18	x	x	PROPN
ejpam-7040	180	19	2	2	X
ejpam-7040	180	20	)	)	PUNCT
ejpam-7040	180	21	−	−	PROPN
ejpam-7040	180	22	ψ(x	ψ(x	NOUN
ejpam-7040	180	23	)	)	PUNCT
ejpam-7040	181	1	+	+	CCONJ
ejpam-7040	181	2	∫	∫	PROPN
ejpam-7040	181	3	x	x	SYM
ejpam-7040	181	4	0	0	NUM
ejpam-7040	181	5	u2	u2	PROPN
ejpam-7040	181	6	(	(	PUNCT
ejpam-7040	181	7	t	t	PROPN
ejpam-7040	181	8	2	2	NUM
ejpam-7040	181	9	)	)	PUNCT
ejpam-7040	181	10	dt+	dt+	NOUN
ejpam-7040	181	11	1	1	NUM
ejpam-7040	181	12	)	)	PUNCT
ejpam-7040	181	13	=	=	SYM
ejpam-7040	181	14	0	0	X
ejpam-7040	181	15	.	.	PUNCT
ejpam-7040	181	16	(	(	PUNCT
ejpam-7040	181	17	28	28	NUM
ejpam-7040	181	18	)	)	PUNCT
ejpam-7040	181	19	thus	thus	ADV
ejpam-7040	181	20	,	,	PUNCT
ejpam-7040	181	21	as	as	SCONJ
ejpam-7040	181	22	p	p	NOUN
ejpam-7040	181	23	varies	vary	VERB
ejpam-7040	181	24	from	from	ADP
ejpam-7040	181	25	0	0	NUM
ejpam-7040	181	26	to	to	ADP
ejpam-7040	181	27	1	1	NUM
ejpam-7040	181	28	,	,	PUNCT
ejpam-7040	181	29	the	the	DET
ejpam-7040	181	30	solution	solution	NOUN
ejpam-7040	181	31	approach	approach	NOUN
ejpam-7040	181	32	from	from	ADP
ejpam-7040	181	33	u0(x	u0(x	NOUN
ejpam-7040	181	34	)	)	PUNCT
ejpam-7040	181	35	to	to	ADP
ejpam-7040	181	36	u(x	u(x	NOUN
ejpam-7040	181	37	)	)	PUNCT
ejpam-7040	181	38	,	,	PUNCT
ejpam-7040	181	39	where	where	SCONJ
ejpam-7040	181	40	u0(x	u0(x	X
ejpam-7040	181	41	)	)	PUNCT
ejpam-7040	181	42	is	be	AUX
ejpam-7040	181	43	the	the	DET
ejpam-7040	181	44	zeroth	zeroth	ADJ
ejpam-7040	181	45	-order	-order	PROPN
ejpam-7040	181	46	problem	problem	NOUN
ejpam-7040	181	47	that	that	PRON
ejpam-7040	181	48	can	can	AUX
ejpam-7040	181	49	be	be	AUX
ejpam-7040	181	50	obtained	obtain	VERB
ejpam-7040	181	51	from	from	ADP
ejpam-7040	181	52	the	the	DET
ejpam-7040	181	53	solution	solution	NOUN
ejpam-7040	181	54	of	of	ADP
ejpam-7040	181	55	initial	initial	ADJ
ejpam-7040	181	56	guess	guess	NOUN
ejpam-7040	181	57	u′0(x	u′0(x	NOUN
ejpam-7040	181	58	)	)	PUNCT
ejpam-7040	182	1	=	=	SYM
ejpam-7040	182	2	1	1	NUM
ejpam-7040	182	3	,	,	PUNCT
ejpam-7040	182	4	u0(0	u0(0	PROPN
ejpam-7040	182	5	)	)	PUNCT
ejpam-7040	182	6	=	=	SYM
ejpam-7040	183	1	1	1	X
ejpam-7040	183	2	.	.	PUNCT
ejpam-7040	183	3	(	(	PUNCT
ejpam-7040	183	4	29	29	NUM
ejpam-7040	183	5	)	)	PUNCT
ejpam-7040	183	6	n.	n.	NOUN
ejpam-7040	183	7	anakira	anakira	PROPN
ejpam-7040	183	8	et	et	PROPN
ejpam-7040	183	9	al	al	PROPN
ejpam-7040	183	10	.	.	PUNCT
ejpam-7040	183	11	/	/	SYM
ejpam-7040	183	12	eur	eur	PROPN
ejpam-7040	183	13	.	.	PUNCT
ejpam-7040	184	1	j.	j.	PROPN
ejpam-7040	184	2	pure	pure	PROPN
ejpam-7040	184	3	appl	appl	PROPN
ejpam-7040	184	4	.	.	PROPN
ejpam-7040	184	5	math	math	PROPN
ejpam-7040	184	6	,	,	PUNCT
ejpam-7040	184	7	18	18	NUM
ejpam-7040	184	8	(	(	PUNCT
ejpam-7040	184	9	4	4	NUM
ejpam-7040	184	10	)	)	PUNCT
ejpam-7040	184	11	(	(	PUNCT
ejpam-7040	184	12	2025	2025	NUM
ejpam-7040	184	13	)	)	PUNCT
ejpam-7040	184	14	,	,	PUNCT
ejpam-7040	184	15	7040	7040	NUM
ejpam-7040	184	16	8	8	NUM
ejpam-7040	184	17	of	of	ADP
ejpam-7040	184	18	16	16	NUM
ejpam-7040	184	19	then	then	ADV
ejpam-7040	184	20	,	,	PUNCT
ejpam-7040	184	21	by	by	ADP
ejpam-7040	184	22	expanding	expand	VERB
ejpam-7040	184	23	u(x	u(x	NOUN
ejpam-7040	184	24	;	;	PUNCT
ejpam-7040	184	25	p	p	X
ejpam-7040	184	26	;	;	PUNCT
ejpam-7040	184	27	ci	ci	NOUN
ejpam-7040	184	28	)	)	PUNCT
ejpam-7040	184	29	,	,	PUNCT
ejpam-7040	184	30	i	i	PRON
ejpam-7040	184	31	=	=	NOUN
ejpam-7040	184	32	1	1	NUM
ejpam-7040	184	33	,	,	PUNCT
ejpam-7040	184	34	...	...	PUNCT
ejpam-7040	184	35	,	,	PUNCT
ejpam-7040	184	36	5	5	NUM
ejpam-7040	184	37	,	,	PUNCT
ejpam-7040	184	38	and	and	CCONJ
ejpam-7040	184	39	m	m	NOUN
ejpam-7040	184	40	=	=	NOUN
ejpam-7040	184	41	1	1	NUM
ejpam-7040	184	42	in	in	ADP
ejpam-7040	184	43	taylor	taylor	PROPN
ejpam-7040	184	44	series	series	PROPN
ejpam-7040	184	45	about	about	ADP
ejpam-7040	184	46	p	p	PROPN
ejpam-7040	184	47	,	,	PUNCT
ejpam-7040	184	48	we	we	PRON
ejpam-7040	184	49	have	have	AUX
ejpam-7040	184	50	u(x	u(x	NOUN
ejpam-7040	184	51	;	;	PUNCT
ejpam-7040	184	52	p	p	X
ejpam-7040	184	53	;	;	PUNCT
ejpam-7040	184	54	ci	ci	NOUN
ejpam-7040	184	55	)	)	PUNCT
ejpam-7040	184	56	=	=	SYM
ejpam-7040	184	57	u0(x	u0(x	NOUN
ejpam-7040	184	58	)	)	PUNCT
ejpam-7040	185	1	+	+	CCONJ
ejpam-7040	185	2	m∑	m∑	CCONJ
ejpam-7040	185	3	k=1	k=1	PROPN
ejpam-7040	185	4	uk(x	uk(x	PROPN
ejpam-7040	185	5	,	,	PUNCT
ejpam-7040	185	6	c1	c1	PROPN
ejpam-7040	185	7	,	,	PUNCT
ejpam-7040	185	8	c2	c2	PROPN
ejpam-7040	185	9	,	,	PUNCT
ejpam-7040	185	10	.	.	PUNCT
ejpam-7040	185	11	.	.	PUNCT
ejpam-7040	186	1	.	.	PUNCT
ejpam-7040	187	1	,	,	PUNCT
ejpam-7040	187	2	ci	ci	NOUN
ejpam-7040	187	3	)	)	PUNCT
ejpam-7040	187	4	p	p	PROPN
ejpam-7040	187	5	k.	k.	PROPN
ejpam-7040	187	6	(	(	PUNCT
ejpam-7040	187	7	30	30	NUM
ejpam-7040	187	8	)	)	PUNCT
ejpam-7040	187	9	substituting	substitute	VERB
ejpam-7040	187	10	eq.(30	eq.(30	NOUN
ejpam-7040	187	11	)	)	PUNCT
ejpam-7040	187	12	into	into	ADP
ejpam-7040	187	13	eq	eq	NOUN
ejpam-7040	187	14	.	.	PUNCT
ejpam-7040	188	1	(	(	PUNCT
ejpam-7040	188	2	28	28	NUM
ejpam-7040	188	3	)	)	PUNCT
ejpam-7040	188	4	and	and	CCONJ
ejpam-7040	188	5	by	by	ADP
ejpam-7040	188	6	equating	equate	VERB
ejpam-7040	188	7	the	the	DET
ejpam-7040	188	8	coefficient	coefficient	NOUN
ejpam-7040	188	9	of	of	ADP
ejpam-7040	188	10	like	like	ADP
ejpam-7040	188	11	power	power	NOUN
ejpam-7040	188	12	p	p	NOUN
ejpam-7040	188	13	,	,	PUNCT
ejpam-7040	188	14	yields	yield	NOUN
ejpam-7040	188	15	to	to	ADP
ejpam-7040	188	16	the	the	DET
ejpam-7040	188	17	first	first	ADJ
ejpam-7040	188	18	order	order	NOUN
ejpam-7040	188	19	deformation	deformation	NOUN
ejpam-7040	188	20	problem	problem	NOUN
ejpam-7040	188	21	u′1(x	u′1(x	NOUN
ejpam-7040	188	22	)	)	PUNCT
ejpam-7040	189	1	=	=	PUNCT
ejpam-7040	189	2	c5x	c5x	NOUN
ejpam-7040	189	3	12	12	NUM
ejpam-7040	189	4	5040	5040	NUM
ejpam-7040	189	5	+	+	CCONJ
ejpam-7040	189	6	c4x	c4x	VERB
ejpam-7040	189	7	11	11	NUM
ejpam-7040	189	8	5040	5040	NUM
ejpam-7040	189	9	+	+	CCONJ
ejpam-7040	189	10	c5x	c5x	VERB
ejpam-7040	189	11	11	11	NUM
ejpam-7040	189	12	720	720	NUM
ejpam-7040	189	13	+	+	CCONJ
ejpam-7040	189	14	c3x	c3x	PROPN
ejpam-7040	189	15	10	10	NUM
ejpam-7040	189	16	5040	5040	NUM
ejpam-7040	189	17	+	+	CCONJ
ejpam-7040	189	18	c4x	c4x	X
ejpam-7040	189	19	10	10	NUM
ejpam-7040	189	20	720	720	NUM
ejpam-7040	189	21	+	+	CCONJ
ejpam-7040	189	22	c5x	c5x	VERB
ejpam-7040	189	23	10	10	NUM
ejpam-7040	189	24	120	120	NUM
ejpam-7040	190	1	+	+	CCONJ
ejpam-7040	190	2	c2x	c2x	PROPN
ejpam-7040	190	3	9	9	NUM
ejpam-7040	190	4	5040	5040	NUM
ejpam-7040	190	5	+	+	CCONJ
ejpam-7040	190	6	c3x	c3x	PROPN
ejpam-7040	190	7	9	9	NUM
ejpam-7040	190	8	720	720	NUM
ejpam-7040	190	9	+	+	CCONJ
ejpam-7040	190	10	c4x	c4x	NOUN
ejpam-7040	190	11	9	9	NUM
ejpam-7040	190	12	120	120	NUM
ejpam-7040	190	13	+	+	CCONJ
ejpam-7040	190	14	c5x	c5x	NOUN
ejpam-7040	190	15	9	9	NUM
ejpam-7040	190	16	24	24	NUM
ejpam-7040	190	17	+	+	CCONJ
ejpam-7040	190	18	c1x	c1x	VERB
ejpam-7040	190	19	8	8	NUM
ejpam-7040	190	20	5040	5040	NUM
ejpam-7040	190	21	+	+	CCONJ
ejpam-7040	190	22	c2x	c2x	PROPN
ejpam-7040	190	23	8	8	NUM
ejpam-7040	190	24	720	720	NUM
ejpam-7040	190	25	+	+	CCONJ
ejpam-7040	190	26	c3x	c3x	PROPN
ejpam-7040	190	27	8	8	NUM
ejpam-7040	190	28	120	120	NUM
ejpam-7040	190	29	+	+	NUM
ejpam-7040	190	30	c4x	c4x	PRON
ejpam-7040	190	31	8	8	NUM
ejpam-7040	190	32	24	24	NUM
ejpam-7040	190	33	+	+	CCONJ
ejpam-7040	190	34	c5x	c5x	NOUN
ejpam-7040	190	35	8	8	NUM
ejpam-7040	190	36	12	12	NUM
ejpam-7040	190	37	+	+	CCONJ
ejpam-7040	190	38	c0x	c0x	PROPN
ejpam-7040	190	39	7	7	NUM
ejpam-7040	190	40	5040	5040	NUM
ejpam-7040	190	41	+	+	CCONJ
ejpam-7040	190	42	c1x	c1x	VERB
ejpam-7040	190	43	7	7	NUM
ejpam-7040	190	44	720	720	NUM
ejpam-7040	190	45	+	+	CCONJ
ejpam-7040	190	46	c2x	c2x	PROPN
ejpam-7040	190	47	7	7	NUM
ejpam-7040	190	48	120	120	NUM
ejpam-7040	190	49	+	+	CCONJ
ejpam-7040	190	50	c3x	c3x	PROPN
ejpam-7040	190	51	7	7	NUM
ejpam-7040	190	52	24	24	NUM
ejpam-7040	190	53	+	+	NUM
ejpam-7040	190	54	c4x	c4x	PROPN
ejpam-7040	190	55	7	7	NUM
ejpam-7040	190	56	12	12	NUM
ejpam-7040	190	57	−	−	NOUN
ejpam-7040	190	58	c5x	c5x	NOUN
ejpam-7040	190	59	7	7	NUM
ejpam-7040	190	60	4	4	NUM
ejpam-7040	190	61	+	+	CCONJ
ejpam-7040	190	62	c0x	c0x	NOUN
ejpam-7040	190	63	6	6	NUM
ejpam-7040	190	64	720	720	NUM
ejpam-7040	190	65	+	+	CCONJ
ejpam-7040	190	66	c1x	c1x	VERB
ejpam-7040	190	67	6	6	NUM
ejpam-7040	190	68	120	120	NUM
ejpam-7040	190	69	+	+	CCONJ
ejpam-7040	190	70	c2x	c2x	PROPN
ejpam-7040	190	71	6	6	NUM
ejpam-7040	190	72	24	24	NUM
ejpam-7040	190	73	+	+	CCONJ
ejpam-7040	190	74	c3x	c3x	PROPN
ejpam-7040	190	75	6	6	NUM
ejpam-7040	190	76	12	12	NUM
ejpam-7040	190	77	−	−	NOUN
ejpam-7040	190	78	c5x	c5x	NOUN
ejpam-7040	190	79	6	6	NUM
ejpam-7040	190	80	−	−	NOUN
ejpam-7040	190	81	c4x	c4x	NOUN
ejpam-7040	190	82	6	6	NUM
ejpam-7040	190	83	4	4	NUM
ejpam-7040	190	84	+	+	CCONJ
ejpam-7040	190	85	c0x	c0x	NOUN
ejpam-7040	190	86	5	5	NUM
ejpam-7040	190	87	120	120	NUM
ejpam-7040	190	88	+	+	CCONJ
ejpam-7040	190	89	c1x	c1x	VERB
ejpam-7040	190	90	5	5	NUM
ejpam-7040	190	91	24	24	NUM
ejpam-7040	190	92	+	+	CCONJ
ejpam-7040	190	93	c2x	c2x	PROPN
ejpam-7040	190	94	5	5	NUM
ejpam-7040	190	95	12	12	NUM
ejpam-7040	190	96	−	−	PROPN
ejpam-7040	190	97	c4x	c4x	PROPN
ejpam-7040	190	98	5	5	NUM
ejpam-7040	190	99	−	−	NOUN
ejpam-7040	190	100	c3x	c3x	NOUN
ejpam-7040	190	101	5	5	NUM
ejpam-7040	190	102	4	4	NUM
ejpam-7040	190	103	+	+	CCONJ
ejpam-7040	190	104	c0x	c0x	NOUN
ejpam-7040	190	105	4	4	NUM
ejpam-7040	190	106	24	24	NUM
ejpam-7040	190	107	+	+	CCONJ
ejpam-7040	190	108	c1x	c1x	VERB
ejpam-7040	190	109	4	4	NUM
ejpam-7040	190	110	12	12	NUM
ejpam-7040	190	111	−	−	NOUN
ejpam-7040	190	112	c3x	c3x	NOUN
ejpam-7040	190	113	4	4	NUM
ejpam-7040	190	114	−	−	NOUN
ejpam-7040	190	115	c2x	c2x	NOUN
ejpam-7040	190	116	4	4	NUM
ejpam-7040	190	117	4	4	NUM
ejpam-7040	190	118	+	+	CCONJ
ejpam-7040	190	119	c0x	c0x	NOUN
ejpam-7040	190	120	3	3	NUM
ejpam-7040	190	121	12	12	NUM
ejpam-7040	190	122	−	−	NOUN
ejpam-7040	191	1	c2x	c2x	NOUN
ejpam-7040	191	2	3	3	NUM
ejpam-7040	191	3	−	−	NOUN
ejpam-7040	191	4	c1x	c1x	VERB
ejpam-7040	191	5	3	3	NUM
ejpam-7040	191	6	4	4	NUM
ejpam-7040	191	7	−c1x2	−c1x2	PROPN
ejpam-7040	191	8	−	−	PROPN
ejpam-7040	191	9	c0x	c0x	NOUN
ejpam-7040	191	10	2	2	NUM
ejpam-7040	191	11	4	4	NUM
ejpam-7040	191	12	−	−	PROPN
ejpam-7040	191	13	c0x	c0x	NOUN
ejpam-7040	191	14	(	(	PUNCT
ejpam-7040	191	15	31	31	NUM
ejpam-7040	191	16	)	)	PUNCT
ejpam-7040	191	17	by	by	ADP
ejpam-7040	191	18	solving	solve	VERB
ejpam-7040	191	19	eqs	eqs	PROPN
ejpam-7040	191	20	.	.	PUNCT
ejpam-7040	192	1	(	(	PUNCT
ejpam-7040	192	2	31	31	NUM
ejpam-7040	192	3	)	)	PUNCT
ejpam-7040	192	4	and	and	CCONJ
ejpam-7040	192	5	(	(	PUNCT
ejpam-7040	192	6	30	30	NUM
ejpam-7040	192	7	)	)	PUNCT
ejpam-7040	192	8	,	,	PUNCT
ejpam-7040	192	9	and	and	CCONJ
ejpam-7040	192	10	substituting	substitute	VERB
ejpam-7040	192	11	them	they	PRON
ejpam-7040	192	12	into	into	ADP
ejpam-7040	192	13	eq.(30	eq.(30	NOUN
ejpam-7040	192	14	)	)	PUNCT
ejpam-7040	192	15	,	,	PUNCT
ejpam-7040	192	16	we	we	PRON
ejpam-7040	192	17	obtain	obtain	VERB
ejpam-7040	192	18	moham	moham	NOUN
ejpam-7040	192	19	approximate	approximate	ADJ
ejpam-7040	192	20	solution	solution	NOUN
ejpam-7040	192	21	of	of	ADP
ejpam-7040	192	22	order	order	NOUN
ejpam-7040	192	23	one	one	NUM
ejpam-7040	192	24	as	as	SCONJ
ejpam-7040	192	25	follows	follow	VERB
ejpam-7040	192	26	:	:	PUNCT
ejpam-7040	192	27	u(x	u(x	NOUN
ejpam-7040	192	28	,	,	PUNCT
ejpam-7040	192	29	c1	c1	NOUN
ejpam-7040	192	30	,	,	PUNCT
ejpam-7040	192	31	.	.	PUNCT
ejpam-7040	192	32	.	.	PUNCT
ejpam-7040	193	1	.	.	PUNCT
ejpam-7040	194	1	,	,	PUNCT
ejpam-7040	194	2	c5	c5	PROPN
ejpam-7040	194	3	)	)	PUNCT
ejpam-7040	195	1	=	=	PUNCT
ejpam-7040	195	2	c5x	c5x	VERB
ejpam-7040	195	3	13	13	NUM
ejpam-7040	195	4	65520	65520	NUM
ejpam-7040	195	5	+	+	CCONJ
ejpam-7040	195	6	c4x	c4x	X
ejpam-7040	195	7	12	12	NUM
ejpam-7040	195	8	60480	60480	NUM
ejpam-7040	195	9	+	+	CCONJ
ejpam-7040	195	10	c5x	c5x	NOUN
ejpam-7040	195	11	12	12	NUM
ejpam-7040	195	12	8640	8640	NUM
ejpam-7040	195	13	+	+	CCONJ
ejpam-7040	195	14	c3x	c3x	PROPN
ejpam-7040	195	15	11	11	NUM
ejpam-7040	195	16	55440	55440	NUM
ejpam-7040	195	17	+	+	CCONJ
ejpam-7040	195	18	c4x	c4x	X
ejpam-7040	195	19	11	11	NUM
ejpam-7040	195	20	7920	7920	NUM
ejpam-7040	195	21	+	+	CCONJ
ejpam-7040	195	22	c5x	c5x	VERB
ejpam-7040	195	23	11	11	NUM
ejpam-7040	195	24	1320	1320	NUM
ejpam-7040	195	25	+	+	CCONJ
ejpam-7040	195	26	c2x	c2x	PROPN
ejpam-7040	195	27	10	10	NUM
ejpam-7040	195	28	50400	50400	NUM
ejpam-7040	195	29	+	+	CCONJ
ejpam-7040	195	30	c3x	c3x	PROPN
ejpam-7040	195	31	10	10	NUM
ejpam-7040	195	32	7200	7200	NUM
ejpam-7040	195	33	+	+	CCONJ
ejpam-7040	195	34	c4x	c4x	X
ejpam-7040	195	35	10	10	NUM
ejpam-7040	195	36	1200	1200	NUM
ejpam-7040	195	37	+	+	CCONJ
ejpam-7040	195	38	c5x	c5x	VERB
ejpam-7040	195	39	10	10	NUM
ejpam-7040	195	40	240	240	NUM
ejpam-7040	195	41	+	+	CCONJ
ejpam-7040	195	42	c1x	c1x	PROPN
ejpam-7040	195	43	9	9	NUM
ejpam-7040	195	44	45360	45360	NUM
ejpam-7040	195	45	+	+	CCONJ
ejpam-7040	195	46	c2x	c2x	PROPN
ejpam-7040	195	47	9	9	NUM
ejpam-7040	195	48	6480	6480	NUM
ejpam-7040	195	49	+	+	CCONJ
ejpam-7040	195	50	c3x	c3x	PROPN
ejpam-7040	195	51	9	9	NUM
ejpam-7040	195	52	1080	1080	NUM
ejpam-7040	195	53	+	+	CCONJ
ejpam-7040	195	54	c4x	c4x	NOUN
ejpam-7040	195	55	9	9	NUM
ejpam-7040	195	56	216	216	NUM
ejpam-7040	195	57	+	+	CCONJ
ejpam-7040	195	58	c5x	c5x	VERB
ejpam-7040	195	59	9	9	NUM
ejpam-7040	195	60	108	108	NUM
ejpam-7040	195	61	+	+	CCONJ
ejpam-7040	195	62	c0x	c0x	X
ejpam-7040	195	63	8	8	NUM
ejpam-7040	195	64	40320	40320	NUM
ejpam-7040	195	65	+	+	CCONJ
ejpam-7040	195	66	c1x	c1x	VERB
ejpam-7040	195	67	8	8	NUM
ejpam-7040	195	68	5760	5760	NUM
ejpam-7040	195	69	+	+	CCONJ
ejpam-7040	195	70	c2x	c2x	PROPN
ejpam-7040	195	71	8	8	NUM
ejpam-7040	195	72	960	960	NUM
ejpam-7040	195	73	+	+	CCONJ
ejpam-7040	195	74	c3x	c3x	PROPN
ejpam-7040	195	75	8	8	NUM
ejpam-7040	195	76	192	192	NUM
ejpam-7040	195	77	+	+	CCONJ
ejpam-7040	195	78	c4x	c4x	PROPN
ejpam-7040	195	79	8	8	NUM
ejpam-7040	195	80	96	96	NUM
ejpam-7040	195	81	−	−	NOUN
ejpam-7040	195	82	c5x	c5x	NOUN
ejpam-7040	195	83	8	8	NUM
ejpam-7040	195	84	32	32	NUM
ejpam-7040	195	85	+	+	CCONJ
ejpam-7040	195	86	c0x	c0x	PROPN
ejpam-7040	195	87	7	7	NUM
ejpam-7040	195	88	5040	5040	NUM
ejpam-7040	195	89	+	+	CCONJ
ejpam-7040	195	90	c1x	c1x	VERB
ejpam-7040	195	91	7	7	NUM
ejpam-7040	195	92	840	840	NUM
ejpam-7040	195	93	+	+	CCONJ
ejpam-7040	195	94	c2x	c2x	PROPN
ejpam-7040	195	95	7	7	NUM
ejpam-7040	195	96	168	168	NUM
ejpam-7040	195	97	+	+	CCONJ
ejpam-7040	195	98	c3x	c3x	PROPN
ejpam-7040	195	99	7	7	NUM
ejpam-7040	195	100	84	84	NUM
ejpam-7040	195	101	−c5x	−c5x	PROPN
ejpam-7040	195	102	7	7	NUM
ejpam-7040	195	103	7	7	NUM
ejpam-7040	195	104	−	−	PROPN
ejpam-7040	195	105	c4x	c4x	PROPN
ejpam-7040	195	106	7	7	NUM
ejpam-7040	195	107	28	28	NUM
ejpam-7040	195	108	+	+	CCONJ
ejpam-7040	195	109	c0x	c0x	NOUN
ejpam-7040	195	110	6	6	NUM
ejpam-7040	195	111	720	720	NUM
ejpam-7040	195	112	+	+	CCONJ
ejpam-7040	195	113	c1x	c1x	VERB
ejpam-7040	195	114	6	6	NUM
ejpam-7040	195	115	144	144	NUM
ejpam-7040	196	1	+	+	CCONJ
ejpam-7040	196	2	c2x	c2x	PROPN
ejpam-7040	196	3	6	6	NUM
ejpam-7040	196	4	72	72	NUM
ejpam-7040	196	5	−	−	PROPN
ejpam-7040	196	6	c4x	c4x	PROPN
ejpam-7040	196	7	6	6	NUM
ejpam-7040	196	8	6	6	NUM
ejpam-7040	196	9	−	−	NOUN
ejpam-7040	196	10	c3x	c3x	PROPN
ejpam-7040	196	11	6	6	NUM
ejpam-7040	196	12	24	24	NUM
ejpam-7040	196	13	+	+	CCONJ
ejpam-7040	196	14	c0x	c0x	NOUN
ejpam-7040	196	15	5	5	NUM
ejpam-7040	196	16	120	120	NUM
ejpam-7040	196	17	+	+	CCONJ
ejpam-7040	196	18	c1x	c1x	VERB
ejpam-7040	196	19	5	5	NUM
ejpam-7040	196	20	60	60	NUM
ejpam-7040	196	21	−c3x	−c3x	NUM
ejpam-7040	196	22	5	5	NUM
ejpam-7040	196	23	5	5	NUM
ejpam-7040	196	24	−	−	NOUN
ejpam-7040	196	25	c2x	c2x	NOUN
ejpam-7040	196	26	5	5	NUM
ejpam-7040	196	27	20	20	NUM
ejpam-7040	196	28	+	+	CCONJ
ejpam-7040	196	29	c0x	c0x	NOUN
ejpam-7040	196	30	4	4	NUM
ejpam-7040	196	31	48	48	NUM
ejpam-7040	196	32	−	−	NOUN
ejpam-7040	196	33	c2x	c2x	NOUN
ejpam-7040	196	34	4	4	NUM
ejpam-7040	196	35	4	4	NUM
ejpam-7040	196	36	−	−	NOUN
ejpam-7040	196	37	c1x	c1x	NOUN
ejpam-7040	196	38	4	4	NUM
ejpam-7040	196	39	16	16	NUM
ejpam-7040	196	40	−	−	NOUN
ejpam-7040	196	41	c1x	c1x	VERB
ejpam-7040	196	42	3	3	NUM
ejpam-7040	196	43	3	3	NUM
ejpam-7040	196	44	−	−	PROPN
ejpam-7040	196	45	c0x	c0x	NOUN
ejpam-7040	196	46	3	3	NUM
ejpam-7040	196	47	12	12	NUM
ejpam-7040	196	48	−	−	PROPN
ejpam-7040	196	49	c0x	c0x	NOUN
ejpam-7040	196	50	2	2	NUM
ejpam-7040	196	51	2	2	NUM
ejpam-7040	196	52	+	+	CCONJ
ejpam-7040	196	53	x+	x+	PROPN
ejpam-7040	196	54	1	1	X
ejpam-7040	196	55	.	.	PUNCT
ejpam-7040	196	56	(	(	PUNCT
ejpam-7040	196	57	32	32	NUM
ejpam-7040	196	58	)	)	PUNCT
ejpam-7040	196	59	the	the	DET
ejpam-7040	196	60	residual	residual	ADJ
ejpam-7040	196	61	error	error	NOUN
ejpam-7040	196	62	,	,	PUNCT
ejpam-7040	196	63	r	r	NOUN
ejpam-7040	196	64	=	=	SYM
ejpam-7040	196	65	ũ′	ũ′	NOUN
ejpam-7040	196	66	(	(	PUNCT
ejpam-7040	196	67	x	x	NOUN
ejpam-7040	196	68	,	,	PUNCT
ejpam-7040	196	69	c1	c1	NOUN
ejpam-7040	196	70	,	,	PUNCT
ejpam-7040	196	71	·	·	PUNCT
ejpam-7040	196	72	·	·	PUNCT
ejpam-7040	196	73	·	·	PUNCT
ejpam-7040	196	74	,	,	PUNCT
ejpam-7040	196	75	c5)−	c5)−	PUNCT
ejpam-7040	196	76	ũ2	ũ2	PROPN
ejpam-7040	196	77	(	(	PUNCT
ejpam-7040	196	78	x	x	SYM
ejpam-7040	196	79	2	2	NUM
ejpam-7040	196	80	,	,	PUNCT
ejpam-7040	196	81	c1	c1	NOUN
ejpam-7040	196	82	,	,	PUNCT
ejpam-7040	196	83	·	·	PUNCT
ejpam-7040	196	84	·	·	PUNCT
ejpam-7040	196	85	·	·	PUNCT
ejpam-7040	196	86	,	,	PUNCT
ejpam-7040	196	87	c5	c5	PROPN
ejpam-7040	196	88	)	)	PUNCT
ejpam-7040	197	1	+	+	PROPN
ejpam-7040	197	2	ex	ex	X
ejpam-7040	197	3	−	−	PROPN
ejpam-7040	197	4	∫	∫	PROPN
ejpam-7040	197	5	x	x	SYM
ejpam-7040	197	6	0	0	NUM
ejpam-7040	197	7	u2	u2	PROPN
ejpam-7040	197	8	(	(	PUNCT
ejpam-7040	197	9	t	t	PROPN
ejpam-7040	197	10	2	2	NUM
ejpam-7040	197	11	,	,	PUNCT
ejpam-7040	197	12	c1	c1	NOUN
ejpam-7040	197	13	,	,	PUNCT
ejpam-7040	197	14	·	·	PUNCT
ejpam-7040	197	15	·	·	PUNCT
ejpam-7040	197	16	·	·	PUNCT
ejpam-7040	197	17	,	,	PUNCT
ejpam-7040	197	18	c5)dt−	c5)dt−	ADV
ejpam-7040	197	19	1	1	NUM
ejpam-7040	197	20	.	.	PUNCT
ejpam-7040	198	1	(	(	PUNCT
ejpam-7040	198	2	33	33	NUM
ejpam-7040	198	3	)	)	PUNCT
ejpam-7040	198	4	the	the	DET
ejpam-7040	198	5	less	less	ADV
ejpam-7040	198	6	square	square	ADJ
ejpam-7040	198	7	error	error	NOUN
ejpam-7040	198	8	can	can	AUX
ejpam-7040	198	9	be	be	AUX
ejpam-7040	198	10	formed	form	VERB
ejpam-7040	198	11	as	as	ADP
ejpam-7040	198	12	j(c1	j(c1	PROPN
ejpam-7040	198	13	,	,	PUNCT
ejpam-7040	198	14	·	·	PUNCT
ejpam-7040	198	15	·	·	PUNCT
ejpam-7040	198	16	·	·	PUNCT
ejpam-7040	198	17	,	,	PUNCT
ejpam-7040	198	18	c5	c5	PROPN
ejpam-7040	198	19	)	)	PUNCT
ejpam-7040	199	1	=	=	SYM
ejpam-7040	199	2	∫	∫	PROPN
ejpam-7040	199	3	1	1	NUM
ejpam-7040	199	4	0	0	NUM
ejpam-7040	199	5	r2dx	r2dx	NUM
ejpam-7040	199	6	,	,	PUNCT
ejpam-7040	199	7	(	(	PUNCT
ejpam-7040	199	8	34	34	NUM
ejpam-7040	199	9	)	)	PUNCT
ejpam-7040	199	10	n.	n.	NOUN
ejpam-7040	199	11	anakira	anakira	PROPN
ejpam-7040	199	12	et	et	PROPN
ejpam-7040	199	13	al	al	PROPN
ejpam-7040	199	14	.	.	PUNCT
ejpam-7040	199	15	/	/	SYM
ejpam-7040	199	16	eur	eur	PROPN
ejpam-7040	199	17	.	.	PUNCT
ejpam-7040	200	1	j.	j.	PROPN
ejpam-7040	200	2	pure	pure	PROPN
ejpam-7040	200	3	appl	appl	PROPN
ejpam-7040	200	4	.	.	PROPN
ejpam-7040	200	5	math	math	PROPN
ejpam-7040	200	6	,	,	PUNCT
ejpam-7040	200	7	18	18	NUM
ejpam-7040	200	8	(	(	PUNCT
ejpam-7040	200	9	4	4	NUM
ejpam-7040	200	10	)	)	PUNCT
ejpam-7040	200	11	(	(	PUNCT
ejpam-7040	200	12	2025	2025	NUM
ejpam-7040	200	13	)	)	PUNCT
ejpam-7040	200	14	,	,	PUNCT
ejpam-7040	200	15	7040	7040	NUM
ejpam-7040	200	16	9	9	NUM
ejpam-7040	200	17	of	of	ADP
ejpam-7040	200	18	16	16	NUM
ejpam-7040	200	19	table	table	NOUN
ejpam-7040	200	20	1	1	NUM
ejpam-7040	200	21	:	:	PUNCT
ejpam-7040	200	22	numerical	numerical	ADJ
ejpam-7040	200	23	result	result	NOUN
ejpam-7040	200	24	of	of	ADP
ejpam-7040	200	25	example	example	NOUN
ejpam-7040	200	26	1	1	NUM
ejpam-7040	200	27	x	x	SYM
ejpam-7040	200	28	4’th	4’th	NUM
ejpam-7040	200	29	order	order	NOUN
ejpam-7040	200	30	oham	oham	ADP
ejpam-7040	200	31	first	first	ADJ
ejpam-7040	200	32	-	-	PUNCT
ejpam-7040	200	33	order	order	NOUN
ejpam-7040	200	34	moham	moham	NOUN
ejpam-7040	200	35	absolute	absolute	ADJ
ejpam-7040	200	36	error	error	NOUN
ejpam-7040	200	37	absolute	absolute	ADJ
ejpam-7040	200	38	error	error	NOUN
ejpam-7040	200	39	0.0	0.0	NUM
ejpam-7040	200	40	0.0000000000	0.0000000000	NUM
ejpam-7040	200	41	0.0000000000	0.0000000000	NUM
ejpam-7040	200	42	0.2	0.2	NUM
ejpam-7040	200	43	5.41×	5.41×	NUM
ejpam-7040	200	44	10−9	10−9	NUM
ejpam-7040	200	45	2.51×	2.51×	NUM
ejpam-7040	200	46	10−7	10−7	NUM
ejpam-7040	200	47	0.4	0.4	NUM
ejpam-7040	200	48	1.52×	1.52×	NUM
ejpam-7040	200	49	10−7	10−7	NUM
ejpam-7040	200	50	4.58×	4.58×	NUM
ejpam-7040	200	51	10−7	10−7	NUM
ejpam-7040	200	52	0.6	0.6	NUM
ejpam-7040	200	53	7.59×	7.59×	NUM
ejpam-7040	200	54	10−7	10−7	NUM
ejpam-7040	200	55	5.86×	5.86×	NUM
ejpam-7040	200	56	10−7	10−7	NUM
ejpam-7040	200	57	0.8	0.8	NUM
ejpam-7040	200	58	5.213×	5.213×	NUM
ejpam-7040	200	59	10−7	10−7	NUM
ejpam-7040	200	60	4.30×	4.30×	NUM
ejpam-7040	200	61	10−7	10−7	NUM
ejpam-7040	200	62	1.0	1.0	NUM
ejpam-7040	200	63	9.88×	9.88×	NUM
ejpam-7040	200	64	10−6	10−6	NUM
ejpam-7040	200	65	1.71×	1.71×	NUM
ejpam-7040	200	66	10−6	10−6	NUM
ejpam-7040	200	67	and	and	CCONJ
ejpam-7040	200	68	∂j(c1	∂j(c1	NOUN
ejpam-7040	200	69	,	,	PUNCT
ejpam-7040	200	70	·	·	PUNCT
ejpam-7040	200	71	·	·	PUNCT
ejpam-7040	200	72	·	·	PUNCT
ejpam-7040	200	73	,	,	PUNCT
ejpam-7040	200	74	c5	c5	PROPN
ejpam-7040	200	75	)	)	PUNCT
ejpam-7040	200	76	∂c1	∂c1	PROPN
ejpam-7040	200	77	=	=	SYM
ejpam-7040	200	78	·	·	PUNCT
ejpam-7040	200	79	·	·	PUNCT
ejpam-7040	200	80	·	·	PUNCT
ejpam-7040	201	1	=	=	SYM
ejpam-7040	201	2	∂j(c1	∂j(c1	NOUN
ejpam-7040	201	3	,	,	PUNCT
ejpam-7040	201	4	c2	c2	PROPN
ejpam-7040	201	5	,	,	PUNCT
ejpam-7040	201	6	c3	c3	PROPN
ejpam-7040	201	7	,	,	PUNCT
ejpam-7040	201	8	c5	c5	PROPN
ejpam-7040	201	9	)	)	PUNCT
ejpam-7040	201	10	∂c5	∂c5	PROPN
ejpam-7040	201	11	=	=	NOUN
ejpam-7040	201	12	0	0	PROPN
ejpam-7040	201	13	.	.	PUNCT
ejpam-7040	201	14	(	(	PUNCT
ejpam-7040	201	15	35	35	NUM
ejpam-7040	201	16	)	)	PUNCT
ejpam-7040	201	17	thus	thus	ADV
ejpam-7040	201	18	,	,	PUNCT
ejpam-7040	201	19	the	the	DET
ejpam-7040	201	20	following	follow	VERB
ejpam-7040	201	21	optimal	optimal	ADJ
ejpam-7040	201	22	values	value	NOUN
ejpam-7040	201	23	of	of	ADP
ejpam-7040	201	24	ci	ci	NOUN
ejpam-7040	201	25	’s	’s	PART
ejpam-7040	201	26	are	be	AUX
ejpam-7040	201	27	obtained	obtain	VERB
ejpam-7040	201	28	:	:	PUNCT
ejpam-7040	201	29	c1	c1	PROPN
ejpam-7040	201	30	=	=	SYM
ejpam-7040	201	31	−0.999749	−0.999749	PROPN
ejpam-7040	201	32	,	,	PUNCT
ejpam-7040	201	33	c2	c2	PROPN
ejpam-7040	201	34	=	=	PUNCT
ejpam-7040	201	35	−0.254198	−0.254198	PROPN
ejpam-7040	201	36	,	,	PUNCT
ejpam-7040	201	37	c3	c3	PROPN
ejpam-7040	201	38	=	=	SYM
ejpam-7040	201	39	−0.122836	−0.122836	X
ejpam-7040	201	40	c4	c4	NOUN
ejpam-7040	201	41	=	=	PUNCT
ejpam-7040	202	1	0.0566211	0.0566211	NUM
ejpam-7040	202	2	c5	c5	PROPN
ejpam-7040	202	3	=	=	SYM
ejpam-7040	202	4	−0.0578005	−0.0578005	PROPN
ejpam-7040	202	5	.	.	PUNCT
ejpam-7040	203	1	in	in	ADP
ejpam-7040	203	2	this	this	DET
ejpam-7040	203	3	case	case	NOUN
ejpam-7040	203	4	,	,	PUNCT
ejpam-7040	203	5	our	our	PRON
ejpam-7040	203	6	approximate	approximate	ADJ
ejpam-7040	203	7	solution	solution	NOUN
ejpam-7040	203	8	is	be	AUX
ejpam-7040	203	9	u(x	u(x	NOUN
ejpam-7040	203	10	)	)	PUNCT
ejpam-7040	203	11	=	=	SYM
ejpam-7040	204	1	−8.821804171278825×	−8.821804171278825×	VERB
ejpam-7040	204	2	10−7x13	10−7x13	NUM
ejpam-7040	205	1	−	−	PROPN
ejpam-7040	205	2	5.753673082235477×1	5.753673082235477×1	NUM
ejpam-7040	205	3	0−6x12	0−6x12	NUM
ejpam-7040	206	1	−0.0000388548x11	−0.0000388548x11	PROPN
ejpam-7040	207	1	−	−	NOUN
ejpam-7040	207	2	0.000213946x10	0.000213946x10	NOUN
ejpam-7040	207	3	−	−	NOUN
ejpam-7040	208	1	0.00041755x9	0.00041755x9	NUM
ejpam-7040	209	1	+	+	CCONJ
ejpam-7040	209	2	0.00151758x8	0.00151758x8	NUM
ejpam-7040	210	1	+0.00330149x7	+0.00330149x7	NOUN
ejpam-7040	210	2	−	−	NOUN
ejpam-7040	210	3	0.00973638x6	0.00973638x6	NUM
ejpam-7040	210	4	+	+	PUNCT
ejpam-7040	210	5	0.0201492x5	0.0201492x5	NUM
ejpam-7040	210	6	+	+	CCONJ
ejpam-7040	210	7	0.035809x4	0.035809x4	NUM
ejpam-7040	210	8	+0.168045x3	+0.168045x3	NOUN
ejpam-7040	210	9	+	+	CCONJ
ejpam-7040	210	10	0.499875x2	0.499875x2	NUM
ejpam-7040	210	11	+	+	CCONJ
ejpam-7040	210	12	x+	x+	SYM
ejpam-7040	210	13	1	1	NUM
ejpam-7040	210	14	(	(	PUNCT
ejpam-7040	210	15	36	36	NUM
ejpam-7040	210	16	)	)	PUNCT
ejpam-7040	210	17	the	the	DET
ejpam-7040	210	18	numerical	numerical	ADJ
ejpam-7040	210	19	results	result	NOUN
ejpam-7040	210	20	of	of	ADP
ejpam-7040	210	21	example	example	NOUN
ejpam-7040	210	22	1	1	NUM
ejpam-7040	210	23	highlight	highlight	VERB
ejpam-7040	210	24	the	the	DET
ejpam-7040	210	25	superior	superior	ADJ
ejpam-7040	210	26	efficiency	efficiency	NOUN
ejpam-7040	210	27	of	of	ADP
ejpam-7040	210	28	moham	moham	NOUN
ejpam-7040	210	29	compared	compare	VERB
ejpam-7040	210	30	with	with	ADP
ejpam-7040	210	31	oham	oham	NOUN
ejpam-7040	210	32	.	.	PUNCT
ejpam-7040	211	1	as	as	SCONJ
ejpam-7040	211	2	shown	show	VERB
ejpam-7040	211	3	in	in	ADP
ejpam-7040	211	4	table	table	NOUN
ejpam-7040	211	5	1	1	NUM
ejpam-7040	211	6	,	,	PUNCT
ejpam-7040	211	7	the	the	DET
ejpam-7040	211	8	fourth	fourth	ADJ
ejpam-7040	211	9	-	-	PUNCT
ejpam-7040	211	10	order	order	NOUN
ejpam-7040	211	11	oham	oham	NOUN
ejpam-7040	211	12	solution	solution	NOUN
ejpam-7040	211	13	produces	produce	VERB
ejpam-7040	211	14	extremely	extremely	ADV
ejpam-7040	211	15	small	small	ADJ
ejpam-7040	211	16	errors	error	NOUN
ejpam-7040	211	17	(	(	PUNCT
ejpam-7040	211	18	as	as	ADV
ejpam-7040	211	19	low	low	ADJ
ejpam-7040	211	20	as	as	ADP
ejpam-7040	211	21	5.41	5.41	NUM
ejpam-7040	211	22	×	×	NOUN
ejpam-7040	211	23	10−9	10−9	NUM
ejpam-7040	211	24	at	at	ADP
ejpam-7040	211	25	x	x	X
ejpam-7040	211	26	=	=	NOUN
ejpam-7040	211	27	0.2	0.2	NUM
ejpam-7040	211	28	)	)	PUNCT
ejpam-7040	211	29	,	,	PUNCT
ejpam-7040	211	30	while	while	SCONJ
ejpam-7040	211	31	the	the	DET
ejpam-7040	211	32	first	first	ADJ
ejpam-7040	211	33	-	-	PUNCT
ejpam-7040	211	34	order	order	NOUN
ejpam-7040	211	35	moham	moham	NOUN
ejpam-7040	211	36	approximation	approximation	NOUN
ejpam-7040	211	37	already	already	ADV
ejpam-7040	211	38	achieves	achieve	VERB
ejpam-7040	211	39	comparable	comparable	ADJ
ejpam-7040	211	40	accuracy	accuracy	NOUN
ejpam-7040	211	41	,	,	PUNCT
ejpam-7040	211	42	with	with	ADP
ejpam-7040	211	43	absolute	absolute	ADJ
ejpam-7040	211	44	errors	error	NOUN
ejpam-7040	211	45	ranging	range	VERB
ejpam-7040	211	46	from	from	ADP
ejpam-7040	211	47	10−7	10−7	NUM
ejpam-7040	211	48	to	to	ADP
ejpam-7040	211	49	10−6	10−6	NUM
ejpam-7040	211	50	.	.	PUNCT
ejpam-7040	212	1	this	this	PRON
ejpam-7040	212	2	indicates	indicate	VERB
ejpam-7040	212	3	that	that	SCONJ
ejpam-7040	212	4	moham	moham	NOUN
ejpam-7040	212	5	can	can	AUX
ejpam-7040	212	6	provide	provide	VERB
ejpam-7040	212	7	reliable	reliable	ADJ
ejpam-7040	212	8	results	result	NOUN
ejpam-7040	212	9	with	with	ADP
ejpam-7040	212	10	only	only	ADV
ejpam-7040	212	11	a	a	DET
ejpam-7040	212	12	single	single	ADJ
ejpam-7040	212	13	term	term	NOUN
ejpam-7040	212	14	,	,	PUNCT
ejpam-7040	212	15	thereby	thereby	ADV
ejpam-7040	212	16	reducing	reduce	VERB
ejpam-7040	212	17	computational	computational	ADJ
ejpam-7040	212	18	complexity	complexity	NOUN
ejpam-7040	212	19	and	and	CCONJ
ejpam-7040	212	20	effort	effort	NOUN
ejpam-7040	212	21	.	.	PUNCT
ejpam-7040	213	1	furthermore	furthermore	ADV
ejpam-7040	213	2	,	,	PUNCT
ejpam-7040	213	3	the	the	DET
ejpam-7040	213	4	error	error	NOUN
ejpam-7040	213	5	distribution	distribution	NOUN
ejpam-7040	213	6	presented	present	VERB
ejpam-7040	213	7	in	in	ADP
ejpam-7040	213	8	figure	figure	NOUN
ejpam-7040	213	9	1	1	NUM
ejpam-7040	213	10	demonstrates	demonstrate	VERB
ejpam-7040	213	11	that	that	SCONJ
ejpam-7040	213	12	moham	moham	NOUN
ejpam-7040	213	13	ensures	ensure	VERB
ejpam-7040	213	14	smooth	smooth	ADJ
ejpam-7040	213	15	and	and	CCONJ
ejpam-7040	213	16	stable	stable	ADJ
ejpam-7040	213	17	convergence	convergence	NOUN
ejpam-7040	213	18	across	across	ADP
ejpam-7040	213	19	the	the	DET
ejpam-7040	213	20	interval	interval	NOUN
ejpam-7040	213	21	,	,	PUNCT
ejpam-7040	213	22	whereas	whereas	SCONJ
ejpam-7040	213	23	oham	oham	NOUN
ejpam-7040	213	24	requires	require	VERB
ejpam-7040	213	25	higher	high	ADJ
ejpam-7040	213	26	-	-	PUNCT
ejpam-7040	213	27	order	order	NOUN
ejpam-7040	213	28	expansions	expansion	NOUN
ejpam-7040	213	29	to	to	PART
ejpam-7040	213	30	attain	attain	VERB
ejpam-7040	213	31	a	a	DET
ejpam-7040	213	32	similar	similar	ADJ
ejpam-7040	213	33	level	level	NOUN
ejpam-7040	213	34	of	of	ADP
ejpam-7040	213	35	accuracy	accuracy	NOUN
ejpam-7040	213	36	.	.	PUNCT
ejpam-7040	214	1	overall	overall	ADV
ejpam-7040	214	2	,	,	PUNCT
ejpam-7040	214	3	these	these	DET
ejpam-7040	214	4	findings	finding	NOUN
ejpam-7040	214	5	clearly	clearly	ADV
ejpam-7040	214	6	confirm	confirm	VERB
ejpam-7040	214	7	the	the	DET
ejpam-7040	214	8	advantage	advantage	NOUN
ejpam-7040	214	9	of	of	ADP
ejpam-7040	214	10	moham	moham	NOUN
ejpam-7040	214	11	in	in	ADP
ejpam-7040	214	12	achieving	achieve	VERB
ejpam-7040	214	13	high	high	ADJ
ejpam-7040	214	14	accuracy	accuracy	NOUN
ejpam-7040	214	15	at	at	ADP
ejpam-7040	214	16	lower	low	ADJ
ejpam-7040	214	17	approximation	approximation	NOUN
ejpam-7040	214	18	orders	order	NOUN
ejpam-7040	214	19	.	.	PUNCT
ejpam-7040	215	1	2.3	2.3	NUM
ejpam-7040	215	2	.	.	PUNCT
ejpam-7040	215	3	example	example	NOUN
ejpam-7040	215	4	2	2	NUM
ejpam-7040	215	5	the	the	DET
ejpam-7040	215	6	second	second	ADJ
ejpam-7040	215	7	example	example	NOUN
ejpam-7040	215	8	considered	consider	VERB
ejpam-7040	215	9	in	in	ADP
ejpam-7040	215	10	this	this	DET
ejpam-7040	215	11	study	study	NOUN
ejpam-7040	215	12	is	be	AUX
ejpam-7040	215	13	the	the	DET
ejpam-7040	215	14	following	follow	VERB
ejpam-7040	215	15	non	non	ADJ
ejpam-7040	215	16	-	-	ADJ
ejpam-7040	215	17	linear	linear	ADJ
ejpam-7040	215	18	dvide	dvide	ADJ
ejpam-7040	215	19	u(x	u(x	NOUN
ejpam-7040	215	20	)	)	PUNCT
ejpam-7040	216	1	=	=	SYM
ejpam-7040	216	2	u	u	NOUN
ejpam-7040	216	3	(	(	PUNCT
ejpam-7040	216	4	x	x	NOUN
ejpam-7040	216	5	2	2	X
ejpam-7040	216	6	)	)	PUNCT
ejpam-7040	216	7	−	−	NOUN
ejpam-7040	216	8	3	3	NUM
ejpam-7040	216	9	2	2	NUM
ejpam-7040	216	10	sinx−	sinx−	ADV
ejpam-7040	216	11	x	x	SYM
ejpam-7040	216	12	2	2	NUM
ejpam-7040	216	13	−	−	NOUN
ejpam-7040	216	14	cos	cos	PROPN
ejpam-7040	216	15	(	(	PUNCT
ejpam-7040	216	16	x	x	PROPN
ejpam-7040	216	17	2	2	X
ejpam-7040	216	18	)	)	PUNCT
ejpam-7040	216	19	+	+	CCONJ
ejpam-7040	216	20	∫	∫	PUNCT
ejpam-7040	216	21	x	x	SYM
ejpam-7040	216	22	0	0	NUM
ejpam-7040	216	23	u2	u2	PROPN
ejpam-7040	216	24	(	(	PUNCT
ejpam-7040	216	25	s	s	NOUN
ejpam-7040	216	26	2	2	NUM
ejpam-7040	216	27	)	)	PUNCT
ejpam-7040	216	28	ds	ds	PROPN
ejpam-7040	216	29	,	,	PUNCT
ejpam-7040	216	30	u(0	u(0	NOUN
ejpam-7040	216	31	)	)	PUNCT
ejpam-7040	216	32	=	=	SYM
ejpam-7040	216	33	1	1	X
ejpam-7040	216	34	.	.	PUNCT
ejpam-7040	216	35	(	(	PUNCT
ejpam-7040	216	36	37	37	NUM
ejpam-7040	216	37	)	)	PUNCT
ejpam-7040	216	38	n.	n.	PROPN
ejpam-7040	216	39	anakira	anakira	PROPN
ejpam-7040	216	40	et	et	PROPN
ejpam-7040	216	41	al	al	PROPN
ejpam-7040	216	42	.	.	PUNCT
ejpam-7040	216	43	/	/	SYM
ejpam-7040	216	44	eur	eur	PROPN
ejpam-7040	216	45	.	.	PUNCT
ejpam-7040	217	1	j.	j.	PROPN
ejpam-7040	217	2	pure	pure	PROPN
ejpam-7040	217	3	appl	appl	PROPN
ejpam-7040	217	4	.	.	PROPN
ejpam-7040	217	5	math	math	PROPN
ejpam-7040	217	6	,	,	PUNCT
ejpam-7040	217	7	18	18	NUM
ejpam-7040	217	8	(	(	PUNCT
ejpam-7040	217	9	4	4	NUM
ejpam-7040	217	10	)	)	PUNCT
ejpam-7040	217	11	(	(	PUNCT
ejpam-7040	217	12	2025	2025	NUM
ejpam-7040	217	13	)	)	PUNCT
ejpam-7040	217	14	,	,	PUNCT
ejpam-7040	217	15	7040	7040	NUM
ejpam-7040	217	16	10	10	NUM
ejpam-7040	217	17	of	of	ADP
ejpam-7040	217	18	16	16	NUM
ejpam-7040	217	19	a	a	PRON
ejpam-7040	217	20	)	)	PUNCT
ejpam-7040	218	1	0.0	0.0	NUM
ejpam-7040	218	2	0.2	0.2	NUM
ejpam-7040	218	3	0.4	0.4	NUM
ejpam-7040	218	4	0.6	0.6	NUM
ejpam-7040	218	5	0.8	0.8	NUM
ejpam-7040	218	6	1.0	1.0	NUM
ejpam-7040	218	7	0	0	NUM
ejpam-7040	218	8	5.0×	5.0×	NUM
ejpam-7040	218	9	10	10	NUM
ejpam-7040	218	10	-7	-7	NUM
ejpam-7040	218	11	1.0×	1.0×	NUM
ejpam-7040	218	12	10	10	NUM
ejpam-7040	218	13	-6	-6	NOUN
ejpam-7040	218	14	1.5×	1.5×	NUM
ejpam-7040	218	15	10	10	NUM
ejpam-7040	219	1	-6	-6	NOUN
ejpam-7040	219	2	b	b	X
ejpam-7040	219	3	)	)	PUNCT
ejpam-7040	219	4	0.0	0.0	NUM
ejpam-7040	219	5	0.2	0.2	NUM
ejpam-7040	219	6	0.4	0.4	NUM
ejpam-7040	219	7	0.6	0.6	NUM
ejpam-7040	219	8	0.8	0.8	NUM
ejpam-7040	219	9	1.0	1.0	NUM
ejpam-7040	219	10	0	0	NUM
ejpam-7040	219	11	5.0×	5.0×	NUM
ejpam-7040	219	12	10	10	NUM
ejpam-7040	219	13	-7	-7	NUM
ejpam-7040	219	14	1.0×	1.0×	NUM
ejpam-7040	219	15	10	10	NUM
ejpam-7040	219	16	-6	-6	NOUN
ejpam-7040	219	17	1.5×	1.5×	NUM
ejpam-7040	219	18	10	10	NUM
ejpam-7040	220	1	-6	-6	NOUN
ejpam-7040	220	2	figure	figure	NOUN
ejpam-7040	220	3	1	1	NUM
ejpam-7040	220	4	:	:	PUNCT
ejpam-7040	220	5	(	(	PUNCT
ejpam-7040	220	6	a	a	X
ejpam-7040	220	7	)	)	PUNCT
ejpam-7040	220	8	oham	oham	ADP
ejpam-7040	220	9	absolute	absolute	ADJ
ejpam-7040	220	10	error	error	NOUN
ejpam-7040	220	11	resulted	result	VERB
ejpam-7040	220	12	from	from	ADP
ejpam-7040	220	13	fourth	fourth	ADJ
ejpam-7040	220	14	-order	-order	NOUN
ejpam-7040	220	15	of	of	ADP
ejpam-7040	220	16	approximation	approximation	NOUN
ejpam-7040	220	17	.	.	PUNCT
ejpam-7040	221	1	(	(	PUNCT
ejpam-7040	221	2	b	b	X
ejpam-7040	221	3	)	)	PUNCT
ejpam-7040	221	4	moham	moham	VERB
ejpam-7040	221	5	absolute	absolute	ADJ
ejpam-7040	221	6	error	error	NOUN
ejpam-7040	221	7	resulted	result	VERB
ejpam-7040	221	8	from	from	ADP
ejpam-7040	221	9	asingle	asingle	PROPN
ejpam-7040	221	10	-order	-order	PROPN
ejpam-7040	221	11	of	of	ADP
ejpam-7040	221	12	approximation	approximation	NOUN
ejpam-7040	221	13	foe	foe	NOUN
ejpam-7040	221	14	example	example	NOUN
ejpam-7040	221	15	1	1	NUM
ejpam-7040	221	16	with	with	ADP
ejpam-7040	221	17	exact	exact	ADJ
ejpam-7040	221	18	solution	solution	NOUN
ejpam-7040	221	19	u(x	u(x	NOUN
ejpam-7040	221	20	)	)	PUNCT
ejpam-7040	221	21	=	=	SYM
ejpam-7040	221	22	cos(x	cos(x	PROPN
ejpam-7040	221	23	)	)	PUNCT
ejpam-7040	221	24	.	.	PUNCT
ejpam-7040	222	1	(	(	PUNCT
ejpam-7040	222	2	38	38	NUM
ejpam-7040	222	3	)	)	PUNCT
ejpam-7040	222	4	according	accord	VERB
ejpam-7040	222	5	to	to	ADP
ejpam-7040	222	6	the	the	DET
ejpam-7040	222	7	method	method	NOUN
ejpam-7040	222	8	which	which	PRON
ejpam-7040	222	9	was	be	AUX
ejpam-7040	222	10	described	describe	VERB
ejpam-7040	222	11	in	in	ADP
ejpam-7040	222	12	above	above	ADP
ejpam-7040	222	13	section	section	NOUN
ejpam-7040	222	14	,	,	PUNCT
ejpam-7040	222	15	and	and	CCONJ
ejpam-7040	222	16	by	by	ADP
ejpam-7040	222	17	following	follow	VERB
ejpam-7040	222	18	the	the	DET
ejpam-7040	222	19	same	same	ADJ
ejpam-7040	222	20	procedure	procedure	NOUN
ejpam-7040	222	21	that	that	PRON
ejpam-7040	222	22	was	be	AUX
ejpam-7040	222	23	applied	apply	VERB
ejpam-7040	222	24	on	on	ADP
ejpam-7040	222	25	the	the	DET
ejpam-7040	222	26	first	first	ADJ
ejpam-7040	222	27	example	example	NOUN
ejpam-7040	222	28	,	,	PUNCT
ejpam-7040	222	29	we	we	PRON
ejpam-7040	222	30	have	have	VERB
ejpam-7040	222	31	the	the	DET
ejpam-7040	222	32	fourth	fourth	ADJ
ejpam-7040	222	33	order	order	NOUN
ejpam-7040	222	34	oham	oham	ADP
ejpam-7040	222	35	approximate	approximate	ADJ
ejpam-7040	222	36	solutions	solution	NOUN
ejpam-7040	222	37	ũ(x	ũ(x	PROPN
ejpam-7040	222	38	,	,	PUNCT
ejpam-7040	222	39	c1	c1	PROPN
ejpam-7040	222	40	,	,	PUNCT
ejpam-7040	222	41	c2	c2	PROPN
ejpam-7040	222	42	,	,	PUNCT
ejpam-7040	222	43	c3	c3	PROPN
ejpam-7040	222	44	)	)	PUNCT
ejpam-7040	223	1	=	=	PUNCT
ejpam-7040	224	1	6.874157120897826×	6.874157120897826×	NUM
ejpam-7040	224	2	10−37x26	10−37x26	NOUN
ejpam-7040	224	3	−	−	NOUN
ejpam-7040	224	4	8.463767623593088×	8.463767623593088×	NUM
ejpam-7040	224	5	10−32x25	10−32x25	NUM
ejpam-7040	225	1	+2.184023696562375×	+2.184023696562375×	PROPN
ejpam-7040	225	2	10−27x24	10−27x24	NUM
ejpam-7040	225	3	+	+	CCONJ
ejpam-7040	225	4	1.0133589762100683×	1.0133589762100683×	NUM
ejpam-7040	225	5	10−26x23	10−26x23	NUM
ejpam-7040	225	6	+3.460786587767694×	+3.460786587767694×	PROPN
ejpam-7040	225	7	10−22x22	10−22x22	NUM
ejpam-7040	225	8	−	−	NUM
ejpam-7040	225	9	2.7806197391988356×	2.7806197391988356×	NUM
ejpam-7040	225	10	10−23x21	10−23x21	NUM
ejpam-7040	225	11	−2.9629995732517603×	−2.9629995732517603×	NOUN
ejpam-7040	225	12	10−19x20	10−19x20	NUM
ejpam-7040	226	1	+	+	CCONJ
ejpam-7040	226	2	5.564560645958861×	5.564560645958861×	NUM
ejpam-7040	226	3	10−20x19	10−20x19	NUM
ejpam-7040	226	4	+1.3918670220163003×	+1.3918670220163003×	PROPN
ejpam-7040	226	5	10−16x18	10−16x18	NUM
ejpam-7040	226	6	−	−	PROPN
ejpam-7040	226	7	9.700555588641355×	9.700555588641355×	NOUN
ejpam-7040	226	8	10−17x17	10−17x17	PROPN
ejpam-7040	226	9	n.	n.	PROPN
ejpam-7040	226	10	anakira	anakira	PROPN
ejpam-7040	226	11	et	et	PROPN
ejpam-7040	226	12	al	al	PROPN
ejpam-7040	226	13	.	.	PUNCT
ejpam-7040	226	14	/	/	SYM
ejpam-7040	226	15	eur	eur	PROPN
ejpam-7040	226	16	.	.	PUNCT
ejpam-7040	227	1	j.	j.	PROPN
ejpam-7040	227	2	pure	pure	PROPN
ejpam-7040	227	3	appl	appl	PROPN
ejpam-7040	227	4	.	.	PROPN
ejpam-7040	227	5	math	math	PROPN
ejpam-7040	227	6	,	,	PUNCT
ejpam-7040	227	7	18	18	NUM
ejpam-7040	227	8	(	(	PUNCT
ejpam-7040	227	9	4	4	NUM
ejpam-7040	227	10	)	)	PUNCT
ejpam-7040	227	11	(	(	PUNCT
ejpam-7040	227	12	2025	2025	NUM
ejpam-7040	227	13	)	)	PUNCT
ejpam-7040	227	14	,	,	PUNCT
ejpam-7040	227	15	7040	7040	NUM
ejpam-7040	227	16	11	11	NUM
ejpam-7040	227	17	of	of	ADP
ejpam-7040	227	18	16	16	NUM
ejpam-7040	227	19	table	table	NOUN
ejpam-7040	227	20	2	2	NUM
ejpam-7040	227	21	:	:	PUNCT
ejpam-7040	227	22	numerical	numerical	ADJ
ejpam-7040	227	23	result	result	NOUN
ejpam-7040	227	24	of	of	ADP
ejpam-7040	227	25	example	example	NOUN
ejpam-7040	227	26	2	2	NUM
ejpam-7040	227	27	x	x	SYM
ejpam-7040	227	28	4’th	4’th	NUM
ejpam-7040	227	29	order	order	NOUN
ejpam-7040	227	30	oham	oham	ADP
ejpam-7040	227	31	first	first	ADJ
ejpam-7040	227	32	-	-	PUNCT
ejpam-7040	227	33	order	order	NOUN
ejpam-7040	227	34	moham	moham	NOUN
ejpam-7040	227	35	absolute	absolute	ADJ
ejpam-7040	227	36	error	error	NOUN
ejpam-7040	227	37	absolute	absolute	ADJ
ejpam-7040	227	38	error	error	NOUN
ejpam-7040	227	39	0.0	0.0	NUM
ejpam-7040	227	40	0.00	0.00	NUM
ejpam-7040	227	41	0.00	0.00	NUM
ejpam-7040	227	42	0.2	0.2	NUM
ejpam-7040	227	43	6.06×	6.06×	NUM
ejpam-7040	227	44	10−8	10−8	NUM
ejpam-7040	227	45	3.58×	3.58×	NUM
ejpam-7040	227	46	10−7	10−7	NUM
ejpam-7040	227	47	0.4	0.4	NUM
ejpam-7040	227	48	1.81×	1.81×	NUM
ejpam-7040	227	49	10−7	10−7	NUM
ejpam-7040	227	50	7.29×	7.29×	NUM
ejpam-7040	227	51	10−7	10−7	NUM
ejpam-7040	227	52	0.6	0.6	NUM
ejpam-7040	227	53	2.36×	2.36×	NUM
ejpam-7040	227	54	10−7	10−7	NUM
ejpam-7040	227	55	6.74×	6.74×	NUM
ejpam-7040	227	56	10−7	10−7	NUM
ejpam-7040	227	57	0.8	0.8	NUM
ejpam-7040	227	58	1.47×	1.47×	NUM
ejpam-7040	227	59	10−7	10−7	NUM
ejpam-7040	227	60	1.01×	1.01×	NUM
ejpam-7040	227	61	10−6	10−6	NUM
ejpam-7040	227	62	1.0	1.0	NUM
ejpam-7040	227	63	2.57×	2.57×	NUM
ejpam-7040	227	64	10−7	10−7	NUM
ejpam-7040	227	65	1.25×	1.25×	NUM
ejpam-7040	227	66	10−6	10−6	NUM
ejpam-7040	227	67	−4.222517784937938×	−4.222517784937938×	NUM
ejpam-7040	227	68	10−14x16	10−14x16	NOUN
ejpam-7040	227	69	+	+	CCONJ
ejpam-7040	227	70	4.202560325267928×	4.202560325267928×	NUM
ejpam-7040	227	71	10−14x15	10−14x15	NUM
ejpam-7040	228	1	+9.028868136417469×	+9.028868136417469×	PROPN
ejpam-7040	228	2	10−12x14	10−12x14	NOUN
ejpam-7040	228	3	−	−	NOUN
ejpam-7040	228	4	1.2725695013294234×	1.2725695013294234×	NUM
ejpam-7040	228	5	10−11x13	10−11x13	NUM
ejpam-7040	228	6	−1.3653035357656884×	−1.3653035357656884×	NUM
ejpam-7040	228	7	10−9x12	10−9x12	NUM
ejpam-7040	228	8	+	+	NUM
ejpam-7040	228	9	2.555212476061491×	2.555212476061491×	NUM
ejpam-7040	228	10	10−9x11	10−9x11	NUM
ejpam-7040	228	11	−2.6421049209252045×	−2.6421049209252045×	VERB
ejpam-7040	228	12	10−7x10	10−7x10	PROPN
ejpam-7040	228	13	−	−	PROPN
ejpam-7040	228	14	2.710683819309949×	2.710683819309949×	NOUN
ejpam-7040	228	15	10−7x9	10−7x9	NUM
ejpam-7040	229	1	+0.0000239393x8	+0.0000239393x8	ADJ
ejpam-7040	229	2	+	+	NUM
ejpam-7040	229	3	6.931541036055155×	6.931541036055155×	NUM
ejpam-7040	229	4	10−8x7	10−8x7	NUM
ejpam-7040	229	5	−	−	NOUN
ejpam-7040	229	6	0.00138905x6	0.00138905x6	PUNCT
ejpam-7040	230	1	+3.5759065280388524×	+3.5759065280388524×	PROPN
ejpam-7040	230	2	10−7x5	10−7x5	NUM
ejpam-7040	231	1	+	+	CCONJ
ejpam-7040	231	2	0.041668x4	0.041668x4	NUM
ejpam-7040	232	1	+1.0621242323427538×	+1.0621242323427538×	ADP
ejpam-7040	232	2	10−6x3	10−6x3	NUM
ejpam-7040	232	3	−	−	NOUN
ejpam-7040	232	4	0.500002x2	0.500002x2	NUM
ejpam-7040	232	5	+	+	CCONJ
ejpam-7040	232	6	1	1	NUM
ejpam-7040	232	7	ũ(x	ũ(x	PROPN
ejpam-7040	232	8	,	,	PUNCT
ejpam-7040	232	9	c1	c1	PROPN
ejpam-7040	232	10	,	,	PUNCT
ejpam-7040	232	11	c2	c2	PROPN
ejpam-7040	232	12	,	,	PUNCT
ejpam-7040	232	13	c3	c3	PROPN
ejpam-7040	232	14	)	)	PUNCT
ejpam-7040	232	15	=	=	SYM
ejpam-7040	233	1	1−	1−	NUM
ejpam-7040	233	2	0.499725609x2	0.499725609x2	NUM
ejpam-7040	234	1	−	−	NOUN
ejpam-7040	234	2	0.003203684x3	0.003203684x3	NUM
ejpam-7040	235	1	+0.056106703x4	+0.056106703x4	PROPN
ejpam-7040	235	2	−	−	X
ejpam-7040	235	3	0.03141667x5	0.03141667x5	NUM
ejpam-7040	236	1	+0.031943943x6	+0.031943943x6	PROPN
ejpam-7040	236	2	−	−	X
ejpam-7040	236	3	0.0128500196x7	0.0128500196x7	PUNCT
ejpam-7040	237	1	−0.0035950170x8	−0.0035950170x8	X
ejpam-7040	238	1	+	+	CCONJ
ejpam-7040	238	2	0.002988065x9	0.002988065x9	NUM
ejpam-7040	238	3	+0.000183446x10	+0.000183446x10	NOUN
ejpam-7040	238	4	−	−	X
ejpam-7040	238	5	0.000126185x11	0.000126185x11	ADP
ejpam-7040	238	6	−4.018124199×	−4.018124199×	NOUN
ejpam-7040	238	7	10−6x12	10−6x12	NUM
ejpam-7040	238	8	+	+	SYM
ejpam-7040	238	9	2.579615120×	2.579615120×	NUM
ejpam-7040	238	10	10	10	NUM
ejpam-7040	238	11	−6x13	−6x13	NUM
ejpam-7040	238	12	+4.9331251480×	+4.9331251480×	PROPN
ejpam-7040	238	13	10−8x14	10−8x14	PROPN
ejpam-7040	238	14	−	−	NOUN
ejpam-7040	238	15	3.177894121×	3.177894121×	NUM
ejpam-7040	238	16	10	10	NUM
ejpam-7040	238	17	−8x15	−8x15	ADJ
ejpam-7040	238	18	+1.93944674×	+1.93944674×	PROPN
ejpam-7040	238	19	10−12x16	10−12x16	NOUN
ejpam-7040	238	20	.	.	PUNCT
ejpam-7040	239	1	n.	n.	PROPN
ejpam-7040	239	2	anakira	anakira	PROPN
ejpam-7040	239	3	et	et	PROPN
ejpam-7040	239	4	al	al	PROPN
ejpam-7040	239	5	.	.	PUNCT
ejpam-7040	239	6	/	/	SYM
ejpam-7040	239	7	eur	eur	PROPN
ejpam-7040	239	8	.	.	PUNCT
ejpam-7040	240	1	j.	j.	PROPN
ejpam-7040	240	2	pure	pure	PROPN
ejpam-7040	240	3	appl	appl	PROPN
ejpam-7040	240	4	.	.	PROPN
ejpam-7040	240	5	math	math	PROPN
ejpam-7040	240	6	,	,	PUNCT
ejpam-7040	240	7	18	18	NUM
ejpam-7040	240	8	(	(	PUNCT
ejpam-7040	240	9	4	4	NUM
ejpam-7040	240	10	)	)	PUNCT
ejpam-7040	240	11	(	(	PUNCT
ejpam-7040	240	12	2025	2025	NUM
ejpam-7040	240	13	)	)	PUNCT
ejpam-7040	240	14	,	,	PUNCT
ejpam-7040	240	15	7040	7040	NUM
ejpam-7040	240	16	12	12	NUM
ejpam-7040	240	17	of	of	ADP
ejpam-7040	240	18	16	16	NUM
ejpam-7040	240	19	a	a	PRON
ejpam-7040	240	20	)	)	PUNCT
ejpam-7040	241	1	0.0	0.0	NUM
ejpam-7040	241	2	0.2	0.2	NUM
ejpam-7040	241	3	0.4	0.4	NUM
ejpam-7040	241	4	0.6	0.6	NUM
ejpam-7040	241	5	0.8	0.8	NUM
ejpam-7040	241	6	1.0	1.0	NUM
ejpam-7040	241	7	0	0	NUM
ejpam-7040	241	8	5.0×	5.0×	NUM
ejpam-7040	241	9	10	10	NUM
ejpam-7040	241	10	-8	-8	NUM
ejpam-7040	241	11	1.0×	1.0×	NUM
ejpam-7040	241	12	10	10	NUM
ejpam-7040	241	13	-7	-7	NOUN
ejpam-7040	241	14	1.5×	1.5×	NUM
ejpam-7040	241	15	10	10	NUM
ejpam-7040	242	1	-7	-7	NOUN
ejpam-7040	242	2	2.0×	2.0×	NUM
ejpam-7040	242	3	10	10	NUM
ejpam-7040	242	4	-7	-7	NOUN
ejpam-7040	242	5	2.5×	2.5×	NUM
ejpam-7040	242	6	10	10	NUM
ejpam-7040	242	7	-7	-7	NOUN
ejpam-7040	242	8	b	b	NOUN
ejpam-7040	242	9	)	)	PUNCT
ejpam-7040	242	10	0.0	0.0	NUM
ejpam-7040	242	11	0.2	0.2	NUM
ejpam-7040	242	12	0.4	0.4	NUM
ejpam-7040	242	13	0.6	0.6	NUM
ejpam-7040	242	14	0.8	0.8	NUM
ejpam-7040	242	15	1.0	1.0	NUM
ejpam-7040	242	16	0	0	NUM
ejpam-7040	242	17	5.0×	5.0×	NUM
ejpam-7040	242	18	10	10	NUM
ejpam-7040	242	19	-7	-7	NUM
ejpam-7040	242	20	1.0×	1.0×	NUM
ejpam-7040	242	21	10	10	NUM
ejpam-7040	242	22	-6	-6	NOUN
ejpam-7040	242	23	1.5×	1.5×	NUM
ejpam-7040	242	24	10	10	NUM
ejpam-7040	243	1	-6	-6	NOUN
ejpam-7040	243	2	figure	figure	NOUN
ejpam-7040	243	3	2	2	NUM
ejpam-7040	243	4	:	:	PUNCT
ejpam-7040	243	5	(	(	PUNCT
ejpam-7040	243	6	a	a	X
ejpam-7040	243	7	)	)	PUNCT
ejpam-7040	243	8	oham	oham	ADP
ejpam-7040	243	9	absolute	absolute	ADJ
ejpam-7040	243	10	error	error	NOUN
ejpam-7040	243	11	resulted	result	VERB
ejpam-7040	243	12	from	from	ADP
ejpam-7040	243	13	fourth	fourth	ADJ
ejpam-7040	243	14	-order	-order	NOUN
ejpam-7040	243	15	of	of	ADP
ejpam-7040	243	16	approximation	approximation	NOUN
ejpam-7040	243	17	.	.	PUNCT
ejpam-7040	244	1	(	(	PUNCT
ejpam-7040	244	2	b	b	X
ejpam-7040	244	3	)	)	PUNCT
ejpam-7040	244	4	moham	moham	VERB
ejpam-7040	244	5	absolute	absolute	ADJ
ejpam-7040	244	6	error	error	NOUN
ejpam-7040	244	7	resulted	result	VERB
ejpam-7040	244	8	from	from	ADP
ejpam-7040	244	9	asingle	asingle	PROPN
ejpam-7040	244	10	-order	-order	PROPN
ejpam-7040	244	11	of	of	ADP
ejpam-7040	244	12	approximation	approximation	NOUN
ejpam-7040	244	13	foe	foe	NOUN
ejpam-7040	244	14	example	example	NOUN
ejpam-7040	244	15	2	2	NUM
ejpam-7040	244	16	the	the	DET
ejpam-7040	244	17	results	result	NOUN
ejpam-7040	244	18	of	of	ADP
ejpam-7040	244	19	example	example	NOUN
ejpam-7040	244	20	2	2	NUM
ejpam-7040	244	21	further	far	ADV
ejpam-7040	244	22	confirm	confirm	VERB
ejpam-7040	244	23	the	the	DET
ejpam-7040	244	24	robustness	robustness	NOUN
ejpam-7040	244	25	of	of	ADP
ejpam-7040	244	26	moham	moham	NOUN
ejpam-7040	244	27	in	in	ADP
ejpam-7040	244	28	comparison	comparison	NOUN
ejpam-7040	244	29	with	with	ADP
ejpam-7040	244	30	oham	oham	NOUN
ejpam-7040	244	31	.	.	PUNCT
ejpam-7040	245	1	as	as	SCONJ
ejpam-7040	245	2	shown	show	VERB
ejpam-7040	245	3	in	in	ADP
ejpam-7040	245	4	table	table	NOUN
ejpam-7040	245	5	2	2	NUM
ejpam-7040	245	6	,	,	PUNCT
ejpam-7040	245	7	the	the	DET
ejpam-7040	245	8	fourth	fourth	ADJ
ejpam-7040	245	9	–	–	PUNCT
ejpam-7040	245	10	order	order	NOUN
ejpam-7040	245	11	oham	oham	ADP
ejpam-7040	245	12	approximation	approximation	NOUN
ejpam-7040	245	13	attains	attain	NOUN
ejpam-7040	245	14	errors	error	NOUN
ejpam-7040	245	15	in	in	ADP
ejpam-7040	245	16	the	the	DET
ejpam-7040	245	17	order	order	NOUN
ejpam-7040	245	18	of	of	ADP
ejpam-7040	245	19	10−8	10−8	NUM
ejpam-7040	245	20	to	to	ADP
ejpam-7040	245	21	10−7	10−7	NUM
ejpam-7040	245	22	,	,	PUNCT
ejpam-7040	245	23	while	while	SCONJ
ejpam-7040	245	24	the	the	DET
ejpam-7040	245	25	first	first	ADJ
ejpam-7040	245	26	–	–	PUNCT
ejpam-7040	245	27	order	order	NOUN
ejpam-7040	245	28	moham	moham	NOUN
ejpam-7040	245	29	already	already	ADV
ejpam-7040	245	30	achieves	achieve	VERB
ejpam-7040	245	31	comparable	comparable	ADJ
ejpam-7040	245	32	accuracy	accuracy	NOUN
ejpam-7040	245	33	,	,	PUNCT
ejpam-7040	245	34	with	with	ADP
ejpam-7040	245	35	errors	error	NOUN
ejpam-7040	245	36	ranging	range	VERB
ejpam-7040	245	37	from	from	ADP
ejpam-7040	245	38	10−7	10−7	NUM
ejpam-7040	245	39	to	to	ADP
ejpam-7040	245	40	10−6	10−6	NUM
ejpam-7040	245	41	.	.	PUNCT
ejpam-7040	246	1	although	although	SCONJ
ejpam-7040	246	2	oham	oham	NOUN
ejpam-7040	246	3	demonstrates	demonstrate	VERB
ejpam-7040	246	4	slightly	slightly	ADV
ejpam-7040	246	5	higher	high	ADJ
ejpam-7040	246	6	precision	precision	NOUN
ejpam-7040	246	7	at	at	ADP
ejpam-7040	246	8	certain	certain	ADJ
ejpam-7040	246	9	points	point	NOUN
ejpam-7040	246	10	(	(	PUNCT
ejpam-7040	246	11	e.g.	e.g.	ADV
ejpam-7040	246	12	,	,	PUNCT
ejpam-7040	246	13	6.06×10−8	6.06×10−8	NUM
ejpam-7040	246	14	at	at	ADP
ejpam-7040	246	15	x	x	X
ejpam-7040	246	16	=	=	NOUN
ejpam-7040	246	17	0.2	0.2	NUM
ejpam-7040	246	18	)	)	PUNCT
ejpam-7040	246	19	,	,	PUNCT
ejpam-7040	246	20	moham	moham	PROPN
ejpam-7040	246	21	reaches	reach	VERB
ejpam-7040	246	22	this	this	DET
ejpam-7040	246	23	level	level	NOUN
ejpam-7040	246	24	of	of	ADP
ejpam-7040	246	25	accuracy	accuracy	NOUN
ejpam-7040	246	26	with	with	ADP
ejpam-7040	246	27	far	far	ADV
ejpam-7040	246	28	fewer	few	ADJ
ejpam-7040	246	29	terms	term	NOUN
ejpam-7040	246	30	,	,	PUNCT
ejpam-7040	246	31	thus	thus	ADV
ejpam-7040	246	32	reducing	reduce	VERB
ejpam-7040	246	33	the	the	DET
ejpam-7040	246	34	computational	computational	ADJ
ejpam-7040	246	35	effort	effort	NOUN
ejpam-7040	246	36	.	.	PUNCT
ejpam-7040	247	1	the	the	DET
ejpam-7040	247	2	error	error	NOUN
ejpam-7040	247	3	profiles	profile	NOUN
ejpam-7040	247	4	illustrated	illustrate	VERB
ejpam-7040	247	5	in	in	ADP
ejpam-7040	247	6	figure	figure	NOUN
ejpam-7040	247	7	2	2	NUM
ejpam-7040	247	8	indicate	indicate	VERB
ejpam-7040	247	9	that	that	DET
ejpam-7040	247	10	oham	oham	NOUN
ejpam-7040	247	11	’s	’s	PART
ejpam-7040	247	12	residual	residual	ADJ
ejpam-7040	247	13	exhibits	exhibit	VERB
ejpam-7040	247	14	oscillatory	oscillatory	ADJ
ejpam-7040	247	15	behavior	behavior	NOUN
ejpam-7040	247	16	,	,	PUNCT
ejpam-7040	247	17	while	while	SCONJ
ejpam-7040	247	18	moham	moham	NOUN
ejpam-7040	247	19	maintains	maintain	VERB
ejpam-7040	247	20	a	a	DET
ejpam-7040	247	21	smoother	smooth	ADJ
ejpam-7040	247	22	distribution	distribution	NOUN
ejpam-7040	247	23	of	of	ADP
ejpam-7040	247	24	error	error	NOUN
ejpam-7040	247	25	across	across	ADP
ejpam-7040	247	26	the	the	DET
ejpam-7040	247	27	interval	interval	NOUN
ejpam-7040	247	28	.	.	PUNCT
ejpam-7040	248	1	this	this	DET
ejpam-7040	248	2	comparison	comparison	NOUN
ejpam-7040	248	3	highlights	highlight	VERB
ejpam-7040	248	4	the	the	DET
ejpam-7040	248	5	advantage	advantage	NOUN
ejpam-7040	248	6	of	of	ADP
ejpam-7040	248	7	moham	moham	NOUN
ejpam-7040	248	8	in	in	ADP
ejpam-7040	248	9	producing	produce	VERB
ejpam-7040	248	10	reliable	reliable	ADJ
ejpam-7040	248	11	results	result	NOUN
ejpam-7040	248	12	at	at	ADP
ejpam-7040	248	13	lower	low	ADJ
ejpam-7040	248	14	approximation	approximation	NOUN
ejpam-7040	248	15	orders	order	NOUN
ejpam-7040	248	16	,	,	PUNCT
ejpam-7040	248	17	striking	strike	VERB
ejpam-7040	248	18	a	a	DET
ejpam-7040	248	19	balance	balance	NOUN
ejpam-7040	248	20	between	between	ADP
ejpam-7040	248	21	computational	computational	ADJ
ejpam-7040	248	22	efficiency	efficiency	NOUN
ejpam-7040	248	23	and	and	CCONJ
ejpam-7040	248	24	accuracy	accuracy	NOUN
ejpam-7040	248	25	.	.	PUNCT
ejpam-7040	249	1	the	the	DET
ejpam-7040	249	2	modified	modify	VERB
ejpam-7040	249	3	optimal	optimal	ADJ
ejpam-7040	249	4	homotopy	homotopy	NOUN
ejpam-7040	249	5	asymptotic	asymptotic	ADJ
ejpam-7040	249	6	method	method	NOUN
ejpam-7040	249	7	(	(	PUNCT
ejpam-7040	249	8	moham	moham	NOUN
ejpam-7040	249	9	)	)	PUNCT
ejpam-7040	249	10	offers	offer	VERB
ejpam-7040	249	11	remarkable	remarkable	ADJ
ejpam-7040	249	12	advantages	advantage	NOUN
ejpam-7040	249	13	over	over	ADP
ejpam-7040	249	14	the	the	DET
ejpam-7040	249	15	standard	standard	ADJ
ejpam-7040	249	16	oham	oham	NOUN
ejpam-7040	249	17	,	,	PUNCT
ejpam-7040	249	18	especially	especially	ADV
ejpam-7040	249	19	in	in	ADP
ejpam-7040	249	20	terms	term	NOUN
ejpam-7040	249	21	of	of	ADP
ejpam-7040	249	22	the	the	DET
ejpam-7040	249	23	order	order	NOUN
ejpam-7040	249	24	of	of	ADP
ejpam-7040	249	25	approximation	approximation	NOUN
ejpam-7040	249	26	.	.	PUNCT
ejpam-7040	250	1	n.	n.	PROPN
ejpam-7040	250	2	anakira	anakira	PROPN
ejpam-7040	250	3	et	et	PROPN
ejpam-7040	250	4	al	al	PROPN
ejpam-7040	250	5	.	.	PUNCT
ejpam-7040	250	6	/	/	SYM
ejpam-7040	250	7	eur	eur	PROPN
ejpam-7040	250	8	.	.	PUNCT
ejpam-7040	251	1	j.	j.	PROPN
ejpam-7040	251	2	pure	pure	PROPN
ejpam-7040	251	3	appl	appl	PROPN
ejpam-7040	251	4	.	.	PROPN
ejpam-7040	251	5	math	math	PROPN
ejpam-7040	251	6	,	,	PUNCT
ejpam-7040	251	7	18	18	NUM
ejpam-7040	251	8	(	(	PUNCT
ejpam-7040	251	9	4	4	NUM
ejpam-7040	251	10	)	)	PUNCT
ejpam-7040	251	11	(	(	PUNCT
ejpam-7040	251	12	2025	2025	NUM
ejpam-7040	251	13	)	)	PUNCT
ejpam-7040	251	14	,	,	PUNCT
ejpam-7040	251	15	7040	7040	NUM
ejpam-7040	251	16	13	13	NUM
ejpam-7040	251	17	of	of	ADP
ejpam-7040	251	18	16	16	NUM
ejpam-7040	251	19	unlike	unlike	ADP
ejpam-7040	251	20	the	the	DET
ejpam-7040	251	21	standard	standard	ADJ
ejpam-7040	251	22	oham	oham	NOUN
ejpam-7040	251	23	,	,	PUNCT
ejpam-7040	251	24	which	which	PRON
ejpam-7040	251	25	generally	generally	ADV
ejpam-7040	251	26	requires	require	VERB
ejpam-7040	251	27	more	more	ADJ
ejpam-7040	251	28	than	than	ADP
ejpam-7040	251	29	two	two	NUM
ejpam-7040	251	30	approximation	approximation	NOUN
ejpam-7040	251	31	terms	term	NOUN
ejpam-7040	251	32	to	to	PART
ejpam-7040	251	33	achieve	achieve	VERB
ejpam-7040	251	34	acceptable	acceptable	ADJ
ejpam-7040	251	35	accuracy	accuracy	NOUN
ejpam-7040	251	36	,	,	PUNCT
ejpam-7040	251	37	moham	moham	NOUN
ejpam-7040	251	38	attains	attain	NOUN
ejpam-7040	251	39	highly	highly	ADV
ejpam-7040	251	40	accurate	accurate	ADJ
ejpam-7040	251	41	solutions	solution	NOUN
ejpam-7040	251	42	with	with	ADP
ejpam-7040	251	43	only	only	ADV
ejpam-7040	251	44	a	a	DET
ejpam-7040	251	45	single	single	ADJ
ejpam-7040	251	46	approximation	approximation	NOUN
ejpam-7040	251	47	term	term	NOUN
ejpam-7040	251	48	.	.	PUNCT
ejpam-7040	252	1	this	this	DET
ejpam-7040	252	2	efficiency	efficiency	NOUN
ejpam-7040	252	3	not	not	PART
ejpam-7040	252	4	only	only	ADV
ejpam-7040	252	5	reduces	reduce	VERB
ejpam-7040	252	6	the	the	DET
ejpam-7040	252	7	analytical	analytical	ADJ
ejpam-7040	252	8	effort	effort	NOUN
ejpam-7040	252	9	but	but	CCONJ
ejpam-7040	252	10	also	also	ADV
ejpam-7040	252	11	saves	save	VERB
ejpam-7040	252	12	considerable	considerable	ADJ
ejpam-7040	252	13	time	time	NOUN
ejpam-7040	252	14	in	in	ADP
ejpam-7040	252	15	the	the	DET
ejpam-7040	252	16	solution	solution	NOUN
ejpam-7040	252	17	process	process	NOUN
ejpam-7040	252	18	.	.	PUNCT
ejpam-7040	253	1	in	in	ADP
ejpam-7040	253	2	addition	addition	NOUN
ejpam-7040	253	3	,	,	PUNCT
ejpam-7040	253	4	moham	moham	VERB
ejpam-7040	253	5	minimizes	minimize	VERB
ejpam-7040	253	6	computational	computational	ADJ
ejpam-7040	253	7	calculations	calculation	NOUN
ejpam-7040	253	8	,	,	PUNCT
ejpam-7040	253	9	making	make	VERB
ejpam-7040	253	10	it	it	PRON
ejpam-7040	253	11	more	more	ADV
ejpam-7040	253	12	practical	practical	ADJ
ejpam-7040	253	13	for	for	ADP
ejpam-7040	253	14	solving	solve	VERB
ejpam-7040	253	15	complex	complex	ADJ
ejpam-7040	253	16	nonlinear	nonlinear	ADJ
ejpam-7040	253	17	problems	problem	NOUN
ejpam-7040	253	18	.	.	PUNCT
ejpam-7040	254	1	these	these	DET
ejpam-7040	254	2	benefits	benefit	NOUN
ejpam-7040	254	3	are	be	AUX
ejpam-7040	254	4	clearly	clearly	ADV
ejpam-7040	254	5	demonstrated	demonstrate	VERB
ejpam-7040	254	6	in	in	ADP
ejpam-7040	254	7	the	the	DET
ejpam-7040	254	8	numerical	numerical	ADJ
ejpam-7040	254	9	results	result	NOUN
ejpam-7040	254	10	displayed	display	VERB
ejpam-7040	254	11	in	in	ADP
ejpam-7040	254	12	tables	table	NOUN
ejpam-7040	254	13	1	1	NUM
ejpam-7040	254	14	and	and	CCONJ
ejpam-7040	254	15	2	2	NUM
ejpam-7040	254	16	,	,	PUNCT
ejpam-7040	254	17	where	where	SCONJ
ejpam-7040	254	18	moham	moham	NOUN
ejpam-7040	254	19	consistently	consistently	ADV
ejpam-7040	254	20	provides	provide	VERB
ejpam-7040	254	21	accurate	accurate	ADJ
ejpam-7040	254	22	solutions	solution	NOUN
ejpam-7040	254	23	with	with	ADP
ejpam-7040	254	24	fewer	few	ADJ
ejpam-7040	254	25	terms	term	NOUN
ejpam-7040	254	26	and	and	CCONJ
ejpam-7040	254	27	reduced	reduce	VERB
ejpam-7040	254	28	computational	computational	ADJ
ejpam-7040	254	29	effort	effort	NOUN
ejpam-7040	254	30	compared	compare	VERB
ejpam-7040	254	31	to	to	ADP
ejpam-7040	254	32	the	the	DET
ejpam-7040	254	33	standard	standard	ADJ
ejpam-7040	254	34	oham	oham	NOUN
ejpam-7040	254	35	.	.	PUNCT
ejpam-7040	255	1	3	3	X
ejpam-7040	255	2	.	.	X
ejpam-7040	255	3	conclusions	conclusion	NOUN
ejpam-7040	255	4	in	in	ADP
ejpam-7040	255	5	this	this	DET
ejpam-7040	255	6	research	research	NOUN
ejpam-7040	255	7	,	,	PUNCT
ejpam-7040	255	8	we	we	PRON
ejpam-7040	255	9	conducted	conduct	VERB
ejpam-7040	255	10	a	a	DET
ejpam-7040	255	11	comparative	comparative	ADJ
ejpam-7040	255	12	analysis	analysis	NOUN
ejpam-7040	255	13	between	between	ADP
ejpam-7040	255	14	the	the	DET
ejpam-7040	255	15	conventional	conventional	ADJ
ejpam-7040	255	16	oham	oham	NOUN
ejpam-7040	255	17	and	and	CCONJ
ejpam-7040	255	18	a	a	DET
ejpam-7040	255	19	newly	newly	ADV
ejpam-7040	255	20	suggested	suggest	VERB
ejpam-7040	255	21	modification	modification	NOUN
ejpam-7040	255	22	,	,	PUNCT
ejpam-7040	255	23	which	which	PRON
ejpam-7040	255	24	was	be	AUX
ejpam-7040	255	25	applied	apply	VERB
ejpam-7040	255	26	for	for	ADP
ejpam-7040	255	27	the	the	DET
ejpam-7040	255	28	first	first	ADJ
ejpam-7040	255	29	time	time	NOUN
ejpam-7040	255	30	to	to	PART
ejpam-7040	255	31	derive	derive	VERB
ejpam-7040	255	32	an	an	DET
ejpam-7040	255	33	analytic	analytic	ADJ
ejpam-7040	255	34	approximate	approximate	ADJ
ejpam-7040	255	35	solution	solution	NOUN
ejpam-7040	255	36	for	for	ADP
ejpam-7040	255	37	vdides	vdide	NOUN
ejpam-7040	255	38	.	.	PUNCT
ejpam-7040	256	1	the	the	DET
ejpam-7040	256	2	modified	modify	VERB
ejpam-7040	256	3	approach	approach	NOUN
ejpam-7040	256	4	introduced	introduce	VERB
ejpam-7040	256	5	a	a	DET
ejpam-7040	256	6	new	new	ADJ
ejpam-7040	256	7	series	series	NOUN
ejpam-7040	256	8	-	-	PUNCT
ejpam-7040	256	9	based	base	VERB
ejpam-7040	256	10	formulation	formulation	NOUN
ejpam-7040	256	11	for	for	ADP
ejpam-7040	256	12	the	the	DET
ejpam-7040	256	13	auxiliary	auxiliary	ADJ
ejpam-7040	256	14	function	function	NOUN
ejpam-7040	256	15	h(q	h(q	ADV
ejpam-7040	256	16	)	)	PUNCT
ejpam-7040	256	17	,	,	PUNCT
ejpam-7040	256	18	specifically	specifically	ADV
ejpam-7040	256	19	designed	design	VERB
ejpam-7040	256	20	to	to	PART
ejpam-7040	256	21	improve	improve	VERB
ejpam-7040	256	22	convergence	convergence	NOUN
ejpam-7040	256	23	,	,	PUNCT
ejpam-7040	256	24	simplify	simplify	ADJ
ejpam-7040	256	25	implementation	implementation	NOUN
ejpam-7040	256	26	,	,	PUNCT
ejpam-7040	256	27	and	and	CCONJ
ejpam-7040	256	28	reduce	reduce	VERB
ejpam-7040	256	29	computational	computational	ADJ
ejpam-7040	256	30	complexity	complexity	NOUN
ejpam-7040	256	31	and	and	CCONJ
ejpam-7040	256	32	cost	cost	NOUN
ejpam-7040	256	33	,	,	PUNCT
ejpam-7040	256	34	while	while	SCONJ
ejpam-7040	256	35	ensuring	ensure	VERB
ejpam-7040	256	36	high	high	ADJ
ejpam-7040	256	37	accuracy	accuracy	NOUN
ejpam-7040	256	38	and	and	CCONJ
ejpam-7040	256	39	reliability	reliability	NOUN
ejpam-7040	256	40	.	.	PUNCT
ejpam-7040	257	1	a	a	DET
ejpam-7040	257	2	key	key	ADJ
ejpam-7040	257	3	advantage	advantage	NOUN
ejpam-7040	257	4	of	of	ADP
ejpam-7040	257	5	the	the	DET
ejpam-7040	257	6	modified	modify	VERB
ejpam-7040	257	7	technique	technique	NOUN
ejpam-7040	257	8	is	be	AUX
ejpam-7040	257	9	its	its	PRON
ejpam-7040	257	10	ability	ability	NOUN
ejpam-7040	257	11	to	to	PART
ejpam-7040	257	12	deliver	deliver	VERB
ejpam-7040	257	13	accurate	accurate	ADJ
ejpam-7040	257	14	results	result	NOUN
ejpam-7040	257	15	using	use	VERB
ejpam-7040	257	16	only	only	ADV
ejpam-7040	257	17	one	one	NUM
ejpam-7040	257	18	order	order	NOUN
ejpam-7040	257	19	of	of	ADP
ejpam-7040	257	20	approximation	approximation	NOUN
ejpam-7040	257	21	,	,	PUNCT
ejpam-7040	257	22	in	in	ADP
ejpam-7040	257	23	contrast	contrast	NOUN
ejpam-7040	257	24	to	to	ADP
ejpam-7040	257	25	the	the	DET
ejpam-7040	257	26	standard	standard	ADJ
ejpam-7040	257	27	oham	oham	NOUN
ejpam-7040	257	28	,	,	PUNCT
ejpam-7040	257	29	which	which	PRON
ejpam-7040	257	30	typically	typically	ADV
ejpam-7040	257	31	requires	require	VERB
ejpam-7040	257	32	several	several	ADJ
ejpam-7040	257	33	terms	term	NOUN
ejpam-7040	257	34	to	to	PART
ejpam-7040	257	35	achieve	achieve	VERB
ejpam-7040	257	36	similar	similar	ADJ
ejpam-7040	257	37	levels	level	NOUN
ejpam-7040	257	38	of	of	ADP
ejpam-7040	257	39	accuracy	accuracy	NOUN
ejpam-7040	257	40	.	.	PUNCT
ejpam-7040	258	1	this	this	DET
ejpam-7040	258	2	highlights	highlight	NOUN
ejpam-7040	258	3	the	the	DET
ejpam-7040	258	4	improved	improved	ADJ
ejpam-7040	258	5	efficiency	efficiency	NOUN
ejpam-7040	258	6	,	,	PUNCT
ejpam-7040	258	7	robustness	robustness	NOUN
ejpam-7040	258	8	,	,	PUNCT
ejpam-7040	258	9	and	and	CCONJ
ejpam-7040	258	10	practical	practical	ADJ
ejpam-7040	258	11	applicability	applicability	NOUN
ejpam-7040	258	12	of	of	ADP
ejpam-7040	258	13	the	the	DET
ejpam-7040	258	14	modified	modify	VERB
ejpam-7040	258	15	version	version	NOUN
ejpam-7040	258	16	in	in	ADP
ejpam-7040	258	17	addressing	address	VERB
ejpam-7040	258	18	this	this	DET
ejpam-7040	258	19	class	class	NOUN
ejpam-7040	258	20	of	of	ADP
ejpam-7040	258	21	vdides	vdide	NOUN
ejpam-7040	258	22	.	.	PUNCT
ejpam-7040	259	1	acknowledgements	acknowledgement	NOUN
ejpam-7040	259	2	the	the	DET
ejpam-7040	259	3	authors	author	NOUN
ejpam-7040	259	4	gratefully	gratefully	ADV
ejpam-7040	259	5	acknowledge	acknowledge	VERB
ejpam-7040	259	6	jadara	jadara	PROPN
ejpam-7040	259	7	university	university	PROPN
ejpam-7040	259	8	for	for	ADP
ejpam-7040	259	9	supporting	support	VERB
ejpam-7040	259	10	this	this	DET
ejpam-7040	259	11	research	research	NOUN
ejpam-7040	259	12	and	and	CCONJ
ejpam-7040	259	13	for	for	ADP
ejpam-7040	259	14	encouraging	encourage	VERB
ejpam-7040	259	15	scientific	scientific	ADJ
ejpam-7040	259	16	work	work	NOUN
ejpam-7040	259	17	.	.	PUNCT
ejpam-7040	260	1	references	reference	NOUN
ejpam-7040	260	2	[	[	X
ejpam-7040	260	3	1	1	NUM
ejpam-7040	260	4	]	]	X
ejpam-7040	260	5	li	li	PROPN
ejpam-7040	260	6	-	-	PROPN
ejpam-7040	260	7	hong	hong	PROPN
ejpam-7040	260	8	yang	yang	PROPN
ejpam-7040	260	9	,	,	PUNCT
ejpam-7040	260	10	hong	hong	PROPN
ejpam-7040	260	11	-	-	PUNCT
ejpam-7040	260	12	ying	ying	PROPN
ejpam-7040	260	13	li	li	PROPN
ejpam-7040	260	14	,	,	PUNCT
ejpam-7040	260	15	and	and	CCONJ
ejpam-7040	260	16	jing	jing	NOUN
ejpam-7040	260	17	-	-	PUNCT
ejpam-7040	260	18	ran	run	VERB
ejpam-7040	260	19	wang	wang	PROPN
ejpam-7040	260	20	.	.	PUNCT
ejpam-7040	261	1	solving	solve	VERB
ejpam-7040	261	2	a	a	DET
ejpam-7040	261	3	system	system	NOUN
ejpam-7040	261	4	of	of	ADP
ejpam-7040	261	5	linear	linear	PROPN
ejpam-7040	261	6	volterra	volterra	PROPN
ejpam-7040	261	7	integral	integral	ADJ
ejpam-7040	261	8	equations	equation	NOUN
ejpam-7040	261	9	using	use	VERB
ejpam-7040	261	10	the	the	DET
ejpam-7040	261	11	modified	modified	ADJ
ejpam-7040	261	12	reproducing	reproduce	VERB
ejpam-7040	261	13	kernel	kernel	NOUN
ejpam-7040	261	14	method	method	NOUN
ejpam-7040	261	15	.	.	PUNCT
ejpam-7040	262	1	2013(1):196308	2013(1):196308	NUM
ejpam-7040	262	2	,	,	PUNCT
ejpam-7040	262	3	2013	2013	NUM
ejpam-7040	262	4	.	.	PUNCT
ejpam-7040	263	1	[	[	X
ejpam-7040	263	2	2	2	NUM
ejpam-7040	263	3	]	]	PUNCT
ejpam-7040	263	4	behrouz	behrouz	NOUN
ejpam-7040	263	5	raftari	raftari	NOUN
ejpam-7040	263	6	.	.	PUNCT
ejpam-7040	264	1	numerical	numerical	ADJ
ejpam-7040	264	2	solutions	solution	NOUN
ejpam-7040	264	3	of	of	ADP
ejpam-7040	264	4	the	the	DET
ejpam-7040	264	5	linear	linear	PROPN
ejpam-7040	264	6	volterra	volterra	PROPN
ejpam-7040	264	7	integro	integro	PROPN
ejpam-7040	264	8	-	-	PUNCT
ejpam-7040	264	9	differential	differential	NOUN
ejpam-7040	264	10	equations	equation	NOUN
ejpam-7040	264	11	:	:	PUNCT
ejpam-7040	264	12	homotopy	homotopy	VERB
ejpam-7040	264	13	perturbation	perturbation	NOUN
ejpam-7040	264	14	method	method	NOUN
ejpam-7040	264	15	and	and	CCONJ
ejpam-7040	264	16	finite	finite	ADJ
ejpam-7040	264	17	difference	difference	NOUN
ejpam-7040	264	18	method	method	NOUN
ejpam-7040	264	19	.	.	PUNCT
ejpam-7040	265	1	world	world	NOUN
ejpam-7040	265	2	applied	apply	VERB
ejpam-7040	265	3	sciences	science	NOUN
ejpam-7040	265	4	journal	journal	NOUN
ejpam-7040	265	5	,	,	PUNCT
ejpam-7040	265	6	9(07	9(07	NUM
ejpam-7040	265	7	-	-	SYM
ejpam-7040	265	8	12	12	NUM
ejpam-7040	265	9	)	)	PUNCT
ejpam-7040	265	10	,	,	PUNCT
ejpam-7040	265	11	2010	2010	NUM
ejpam-7040	265	12	.	.	PUNCT
ejpam-7040	266	1	[	[	X
ejpam-7040	266	2	3	3	NUM
ejpam-7040	266	3	]	]	X
ejpam-7040	266	4	nidal	nidal	PROPN
ejpam-7040	266	5	anakira	anakira	PROPN
ejpam-7040	266	6	,	,	PUNCT
ejpam-7040	266	7	ala	ala	PROPN
ejpam-7040	266	8	amourah	amourah	PROPN
ejpam-7040	266	9	,	,	PUNCT
ejpam-7040	266	10	adel	adel	PROPN
ejpam-7040	266	11	almalki	almalki	PROPN
ejpam-7040	266	12	,	,	PUNCT
ejpam-7040	266	13	abdullah	abdullah	PROPN
ejpam-7040	266	14	alsoboh	alsoboh	PROPN
ejpam-7040	266	15	,	,	PUNCT
ejpam-7040	266	16	and	and	CCONJ
ejpam-7040	266	17	tala	tala	PROPN
ejpam-7040	266	18	sasa	sasa	PROPN
ejpam-7040	266	19	.	.	PUNCT
ejpam-7040	267	1	exact	exact	ADJ
ejpam-7040	267	2	solutions	solution	NOUN
ejpam-7040	267	3	of	of	ADP
ejpam-7040	267	4	nonlinear	nonlinear	ADJ
ejpam-7040	267	5	delay	delay	NOUN
ejpam-7040	267	6	voltera	voltera	PROPN
ejpam-7040	267	7	integro	integro	PROPN
ejpam-7040	267	8	-	-	PUNCT
ejpam-7040	267	9	differential	differential	NOUN
ejpam-7040	267	10	equations	equation	NOUN
ejpam-7040	267	11	using	use	VERB
ejpam-7040	267	12	modified	modify	VERB
ejpam-7040	267	13	homotopy	homotopy	NOUN
ejpam-7040	267	14	perturbation	perturbation	NOUN
ejpam-7040	267	15	method	method	NOUN
ejpam-7040	267	16	.	.	PUNCT
ejpam-7040	268	1	european	european	PROPN
ejpam-7040	268	2	journal	journal	PROPN
ejpam-7040	268	3	of	of	ADP
ejpam-7040	268	4	pure	pure	ADJ
ejpam-7040	268	5	and	and	CCONJ
ejpam-7040	268	6	applied	applied	ADJ
ejpam-7040	268	7	mathematics	mathematic	NOUN
ejpam-7040	268	8	,	,	PUNCT
ejpam-7040	268	9	18(3):6462–6462	18(3):6462–6462	NUM
ejpam-7040	268	10	,	,	PUNCT
ejpam-7040	268	11	2025	2025	NUM
ejpam-7040	268	12	.	.	PUNCT
ejpam-7040	269	1	[	[	X
ejpam-7040	269	2	4	4	NUM
ejpam-7040	269	3	]	]	X
ejpam-7040	269	4	jafar	jafar	PROPN
ejpam-7040	269	5	biazar	biazar	PROPN
ejpam-7040	269	6	and	and	CCONJ
ejpam-7040	269	7	h	h	PROPN
ejpam-7040	269	8	ebrahimi	ebrahimi	PROPN
ejpam-7040	269	9	.	.	PUNCT
ejpam-7040	270	1	chebyshev	chebyshev	PROPN
ejpam-7040	270	2	wavelets	wavelet	NOUN
ejpam-7040	270	3	approach	approach	VERB
ejpam-7040	270	4	for	for	ADP
ejpam-7040	270	5	nonlinear	nonlinear	ADJ
ejpam-7040	270	6	systems	system	NOUN
ejpam-7040	270	7	of	of	ADP
ejpam-7040	270	8	volterra	volterra	PROPN
ejpam-7040	270	9	integral	integral	ADJ
ejpam-7040	270	10	equations	equation	NOUN
ejpam-7040	270	11	.	.	PUNCT
ejpam-7040	271	1	volume	volume	NOUN
ejpam-7040	271	2	63	63	NUM
ejpam-7040	271	3	,	,	PUNCT
ejpam-7040	271	4	pages	page	NOUN
ejpam-7040	271	5	608–616	608–616	NUM
ejpam-7040	271	6	.	.	PUNCT
ejpam-7040	272	1	elsevier	elsevier	NOUN
ejpam-7040	272	2	,	,	PUNCT
ejpam-7040	272	3	2012	2012	NUM
ejpam-7040	272	4	.	.	PUNCT
ejpam-7040	273	1	[	[	X
ejpam-7040	273	2	5	5	X
ejpam-7040	273	3	]	]	X
ejpam-7040	273	4	prakash	prakash	PROPN
ejpam-7040	273	5	kumar	kumar	PROPN
ejpam-7040	273	6	sahu	sahu	PROPN
ejpam-7040	273	7	and	and	CCONJ
ejpam-7040	273	8	s	s	PROPN
ejpam-7040	273	9	saha	saha	PROPN
ejpam-7040	273	10	ray	ray	PROPN
ejpam-7040	273	11	.	.	PUNCT
ejpam-7040	274	1	chebyshev	chebyshev	PROPN
ejpam-7040	274	2	wavelet	wavelet	NOUN
ejpam-7040	274	3	method	method	NOUN
ejpam-7040	274	4	for	for	ADP
ejpam-7040	274	5	numerical	numerical	ADJ
ejpam-7040	274	6	solutions	solution	NOUN
ejpam-7040	274	7	of	of	ADP
ejpam-7040	274	8	integro	integro	ADJ
ejpam-7040	274	9	-	-	PUNCT
ejpam-7040	274	10	differential	differential	NOUN
ejpam-7040	274	11	form	form	NOUN
ejpam-7040	274	12	of	of	ADP
ejpam-7040	274	13	lane	lane	NOUN
ejpam-7040	274	14	–	–	PUNCT
ejpam-7040	274	15	emden	emden	ADJ
ejpam-7040	274	16	type	type	NOUN
ejpam-7040	274	17	differential	differential	ADJ
ejpam-7040	274	18	equations	equation	NOUN
ejpam-7040	274	19	.	.	PUNCT
ejpam-7040	275	1	n.	n.	PROPN
ejpam-7040	275	2	anakira	anakira	PROPN
ejpam-7040	275	3	et	et	PROPN
ejpam-7040	275	4	al	al	PROPN
ejpam-7040	275	5	.	.	PUNCT
ejpam-7040	275	6	/	/	SYM
ejpam-7040	275	7	eur	eur	PROPN
ejpam-7040	275	8	.	.	PUNCT
ejpam-7040	276	1	j.	j.	PROPN
ejpam-7040	276	2	pure	pure	PROPN
ejpam-7040	276	3	appl	appl	PROPN
ejpam-7040	276	4	.	.	PROPN
ejpam-7040	276	5	math	math	PROPN
ejpam-7040	276	6	,	,	PUNCT
ejpam-7040	276	7	18	18	NUM
ejpam-7040	276	8	(	(	PUNCT
ejpam-7040	276	9	4	4	NUM
ejpam-7040	276	10	)	)	PUNCT
ejpam-7040	276	11	(	(	PUNCT
ejpam-7040	276	12	2025	2025	NUM
ejpam-7040	276	13	)	)	PUNCT
ejpam-7040	276	14	,	,	PUNCT
ejpam-7040	276	15	7040	7040	NUM
ejpam-7040	276	16	14	14	NUM
ejpam-7040	276	17	of	of	ADP
ejpam-7040	276	18	16	16	NUM
ejpam-7040	276	19	international	international	ADJ
ejpam-7040	276	20	journal	journal	NOUN
ejpam-7040	276	21	of	of	ADP
ejpam-7040	276	22	wavelets	wavelet	NOUN
ejpam-7040	276	23	,	,	PUNCT
ejpam-7040	276	24	multiresolution	multiresolution	NOUN
ejpam-7040	276	25	and	and	CCONJ
ejpam-7040	276	26	information	information	NOUN
ejpam-7040	276	27	processing	processing	NOUN
ejpam-7040	276	28	,	,	PUNCT
ejpam-7040	276	29	15(02):1750015	15(02):1750015	NUM
ejpam-7040	276	30	,	,	PUNCT
ejpam-7040	276	31	2017	2017	NUM
ejpam-7040	276	32	.	.	PUNCT
ejpam-7040	277	1	[	[	X
ejpam-7040	277	2	6	6	NUM
ejpam-7040	277	3	]	]	X
ejpam-7040	277	4	nidal	nidal	PROPN
ejpam-7040	277	5	anakira	anakira	PROPN
ejpam-7040	277	6	,	,	PUNCT
ejpam-7040	277	7	ali	ali	PROPN
ejpam-7040	277	8	jameel	jameel	PROPN
ejpam-7040	277	9	,	,	PUNCT
ejpam-7040	277	10	mohmmad	mohmmad	PROPN
ejpam-7040	277	11	hijazi	hijazi	NOUN
ejpam-7040	277	12	,	,	PUNCT
ejpam-7040	277	13	abedel	abedel	PROPN
ejpam-7040	277	14	-	-	PUNCT
ejpam-7040	277	15	karrem	karrem	VERB
ejpam-7040	277	16	alomari	alomari	PROPN
ejpam-7040	277	17	,	,	PUNCT
ejpam-7040	277	18	and	and	CCONJ
ejpam-7040	277	19	noraziah	noraziah	PROPN
ejpam-7040	277	20	man	man	NOUN
ejpam-7040	277	21	.	.	PUNCT
ejpam-7040	278	1	a	a	DET
ejpam-7040	278	2	new	new	ADJ
ejpam-7040	278	3	approach	approach	NOUN
ejpam-7040	278	4	for	for	ADP
ejpam-7040	278	5	solving	solve	VERB
ejpam-7040	278	6	multi	multi	ADJ
ejpam-7040	278	7	-	-	ADJ
ejpam-7040	278	8	pantograph	pantograph	ADJ
ejpam-7040	278	9	type	type	NOUN
ejpam-7040	278	10	delay	delay	NOUN
ejpam-7040	278	11	differential	differential	NOUN
ejpam-7040	278	12	equations	equation	NOUN
ejpam-7040	278	13	.	.	PUNCT
ejpam-7040	279	1	international	international	ADJ
ejpam-7040	279	2	journal	journal	PROPN
ejpam-7040	279	3	of	of	ADP
ejpam-7040	279	4	electrical	electrical	ADJ
ejpam-7040	279	5	&	&	CCONJ
ejpam-7040	279	6	computer	computer	PROPN
ejpam-7040	279	7	engineering	engineering	NOUN
ejpam-7040	279	8	(	(	PUNCT
ejpam-7040	279	9	2088	2088	NUM
ejpam-7040	279	10	-	-	SYM
ejpam-7040	279	11	8708	8708	NUM
ejpam-7040	279	12	)	)	PUNCT
ejpam-7040	279	13	,	,	PUNCT
ejpam-7040	279	14	12(2	12(2	NUM
ejpam-7040	279	15	)	)	PUNCT
ejpam-7040	279	16	,	,	PUNCT
ejpam-7040	279	17	2022	2022	NUM
ejpam-7040	279	18	.	.	PUNCT
ejpam-7040	280	1	[	[	X
ejpam-7040	280	2	7	7	X
ejpam-7040	280	3	]	]	X
ejpam-7040	280	4	abdullah	abdullah	PROPN
ejpam-7040	280	5	dawar	dawar	PROPN
ejpam-7040	280	6	,	,	PUNCT
ejpam-7040	280	7	hamid	hamid	PROPN
ejpam-7040	280	8	khan	khan	PROPN
ejpam-7040	280	9	,	,	PUNCT
ejpam-7040	280	10	saeed	saeed	PROPN
ejpam-7040	280	11	islam	islam	PROPN
ejpam-7040	280	12	,	,	PUNCT
ejpam-7040	280	13	and	and	CCONJ
ejpam-7040	280	14	waris	waris	PROPN
ejpam-7040	280	15	khan	khan	PROPN
ejpam-7040	280	16	.	.	PUNCT
ejpam-7040	281	1	the	the	DET
ejpam-7040	281	2	improved	improve	VERB
ejpam-7040	281	3	residual	residual	ADJ
ejpam-7040	281	4	power	power	NOUN
ejpam-7040	281	5	series	series	NOUN
ejpam-7040	281	6	method	method	NOUN
ejpam-7040	281	7	for	for	ADP
ejpam-7040	281	8	a	a	DET
ejpam-7040	281	9	system	system	NOUN
ejpam-7040	281	10	of	of	ADP
ejpam-7040	281	11	differential	differential	ADJ
ejpam-7040	281	12	equations	equation	NOUN
ejpam-7040	281	13	:	:	PUNCT
ejpam-7040	281	14	a	a	DET
ejpam-7040	281	15	new	new	ADJ
ejpam-7040	281	16	semi	semi	ADJ
ejpam-7040	281	17	-	-	ADJ
ejpam-7040	281	18	numerical	numerical	ADJ
ejpam-7040	281	19	method	method	NOUN
ejpam-7040	281	20	.	.	PUNCT
ejpam-7040	282	1	international	international	ADJ
ejpam-7040	282	2	journal	journal	NOUN
ejpam-7040	282	3	of	of	ADP
ejpam-7040	282	4	modelling	modelling	NOUN
ejpam-7040	282	5	and	and	CCONJ
ejpam-7040	282	6	simulation	simulation	NOUN
ejpam-7040	282	7	,	,	PUNCT
ejpam-7040	282	8	45(4):1272–1285	45(4):1272–1285	PROPN
ejpam-7040	282	9	,	,	PUNCT
ejpam-7040	282	10	2025	2025	NUM
ejpam-7040	282	11	.	.	PUNCT
ejpam-7040	283	1	[	[	X
ejpam-7040	283	2	8	8	X
ejpam-7040	283	3	]	]	X
ejpam-7040	283	4	dulfikar	dulfikar	PROPN
ejpam-7040	283	5	jawad	jawad	PROPN
ejpam-7040	283	6	hashim	hashim	PROPN
ejpam-7040	283	7	,	,	PUNCT
ejpam-7040	283	8	ali	ali	PROPN
ejpam-7040	283	9	fareed	fareed	PROPN
ejpam-7040	283	10	jameel	jameel	PROPN
ejpam-7040	283	11	,	,	PUNCT
ejpam-7040	283	12	teh	teh	PROPN
ejpam-7040	283	13	yuan	yuan	PROPN
ejpam-7040	283	14	ying	ying	PROPN
ejpam-7040	283	15	,	,	PUNCT
ejpam-7040	283	16	ak	ak	PROPN
ejpam-7040	283	17	alomari	alomari	PROPN
ejpam-7040	283	18	,	,	PUNCT
ejpam-7040	283	19	and	and	CCONJ
ejpam-7040	283	20	nr	nr	PROPN
ejpam-7040	283	21	anakira	anakira	PROPN
ejpam-7040	283	22	.	.	PUNCT
ejpam-7040	284	1	optimal	optimal	ADJ
ejpam-7040	284	2	homotopy	homotopy	PROPN
ejpam-7040	284	3	asymptotic	asymptotic	ADJ
ejpam-7040	284	4	method	method	NOUN
ejpam-7040	284	5	for	for	ADP
ejpam-7040	284	6	solving	solve	VERB
ejpam-7040	284	7	several	several	ADJ
ejpam-7040	284	8	models	model	NOUN
ejpam-7040	284	9	of	of	ADP
ejpam-7040	284	10	first	first	ADJ
ejpam-7040	284	11	order	order	NOUN
ejpam-7040	284	12	fuzzy	fuzzy	ADJ
ejpam-7040	284	13	fractional	fractional	ADJ
ejpam-7040	284	14	ivps	ivps	PROPN
ejpam-7040	284	15	.	.	PUNCT
ejpam-7040	285	1	volume	volume	NOUN
ejpam-7040	285	2	61	61	NUM
ejpam-7040	285	3	,	,	PUNCT
ejpam-7040	285	4	pages	page	NOUN
ejpam-7040	285	5	4931–4943	4931–4943	NUM
ejpam-7040	285	6	.	.	PUNCT
ejpam-7040	286	1	elsevier	elsevier	NOUN
ejpam-7040	286	2	,	,	PUNCT
ejpam-7040	286	3	2022	2022	NUM
ejpam-7040	286	4	.	.	PUNCT
ejpam-7040	287	1	[	[	X
ejpam-7040	287	2	9	9	NUM
ejpam-7040	287	3	]	]	SYM
ejpam-7040	287	4	ali	ali	PROPN
ejpam-7040	287	5	f	f	PROPN
ejpam-7040	287	6	jameel	jameel	PROPN
ejpam-7040	287	7	,	,	PUNCT
ejpam-7040	287	8	akram	akram	PROPN
ejpam-7040	287	9	h	h	PROPN
ejpam-7040	287	10	shather	shather	PROPN
ejpam-7040	287	11	,	,	PUNCT
ejpam-7040	287	12	nr	nr	PROPN
ejpam-7040	287	13	anakira	anakira	PROPN
ejpam-7040	287	14	,	,	PUNCT
ejpam-7040	287	15	ak	ak	PROPN
ejpam-7040	287	16	alomari	alomari	PROPN
ejpam-7040	287	17	,	,	PUNCT
ejpam-7040	287	18	and	and	CCONJ
ejpam-7040	287	19	azizan	azizan	ADJ
ejpam-7040	287	20	saaban	saaban	PROPN
ejpam-7040	287	21	.	.	PUNCT
ejpam-7040	287	22	comparison	comparison	NOUN
ejpam-7040	287	23	for	for	ADP
ejpam-7040	287	24	the	the	DET
ejpam-7040	287	25	approximate	approximate	ADJ
ejpam-7040	287	26	solution	solution	NOUN
ejpam-7040	287	27	of	of	ADP
ejpam-7040	287	28	the	the	DET
ejpam-7040	287	29	second	second	ADJ
ejpam-7040	287	30	-	-	PUNCT
ejpam-7040	287	31	order	order	NOUN
ejpam-7040	287	32	fuzzy	fuzzy	ADJ
ejpam-7040	287	33	nonlinear	nonlinear	ADJ
ejpam-7040	287	34	differential	differential	ADJ
ejpam-7040	287	35	equation	equation	NOUN
ejpam-7040	287	36	with	with	ADP
ejpam-7040	287	37	fuzzy	fuzzy	ADJ
ejpam-7040	287	38	initial	initial	ADJ
ejpam-7040	287	39	conditions	condition	NOUN
ejpam-7040	287	40	.	.	PUNCT
ejpam-7040	288	1	mathematics	mathematic	NOUN
ejpam-7040	288	2	and	and	CCONJ
ejpam-7040	288	3	statistics	statistic	NOUN
ejpam-7040	288	4	,	,	PUNCT
ejpam-7040	288	5	8(5):527–534	8(5):527–534	NUM
ejpam-7040	288	6	,	,	PUNCT
ejpam-7040	288	7	2020	2020	NUM
ejpam-7040	288	8	.	.	PUNCT
ejpam-7040	289	1	[	[	X
ejpam-7040	289	2	10	10	NUM
ejpam-7040	289	3	]	]	X
ejpam-7040	289	4	ali	ali	PROPN
ejpam-7040	289	5	fareed	fareed	PROPN
ejpam-7040	289	6	jameel	jameel	PROPN
ejpam-7040	289	7	,	,	PUNCT
ejpam-7040	289	8	nidal	nidal	PROPN
ejpam-7040	289	9	ratib	ratib	PROPN
ejpam-7040	289	10	anakira	anakira	PROPN
ejpam-7040	289	11	,	,	PUNCT
ejpam-7040	289	12	ak	ak	PROPN
ejpam-7040	289	13	alomari	alomari	PROPN
ejpam-7040	289	14	,	,	PUNCT
ejpam-7040	289	15	m	m	PROPN
ejpam-7040	289	16	al	al	PROPN
ejpam-7040	289	17	-	-	PUNCT
ejpam-7040	289	18	mahameed	mahameed	PROPN
ejpam-7040	289	19	,	,	PUNCT
ejpam-7040	289	20	and	and	CCONJ
ejpam-7040	289	21	azizan	azizan	ADJ
ejpam-7040	289	22	saaban	saaban	PROPN
ejpam-7040	289	23	.	.	PUNCT
ejpam-7040	290	1	a	a	DET
ejpam-7040	290	2	new	new	ADJ
ejpam-7040	290	3	approximate	approximate	ADJ
ejpam-7040	290	4	solution	solution	NOUN
ejpam-7040	290	5	of	of	ADP
ejpam-7040	290	6	the	the	DET
ejpam-7040	290	7	fuzzy	fuzzy	ADJ
ejpam-7040	290	8	delay	delay	NOUN
ejpam-7040	290	9	differential	differential	ADJ
ejpam-7040	290	10	equations	equation	NOUN
ejpam-7040	290	11	.	.	PUNCT
ejpam-7040	291	1	international	international	ADJ
ejpam-7040	291	2	journal	journal	PROPN
ejpam-7040	291	3	of	of	ADP
ejpam-7040	291	4	mathematical	mathematical	ADJ
ejpam-7040	291	5	modelling	modelling	NOUN
ejpam-7040	291	6	and	and	CCONJ
ejpam-7040	291	7	numerical	numerical	ADJ
ejpam-7040	291	8	optimisation	optimisation	NOUN
ejpam-7040	291	9	,	,	PUNCT
ejpam-7040	291	10	9(3):221–240	9(3):221–240	NOUN
ejpam-7040	291	11	,	,	PUNCT
ejpam-7040	291	12	2019	2019	NUM
ejpam-7040	291	13	.	.	PUNCT
ejpam-7040	292	1	[	[	X
ejpam-7040	292	2	11	11	NUM
ejpam-7040	292	3	]	]	PUNCT
ejpam-7040	292	4	rashid	rashid	PROPN
ejpam-7040	292	5	nawaz	nawaz	PROPN
ejpam-7040	292	6	,	,	PUNCT
ejpam-7040	292	7	abraiz	abraiz	PROPN
ejpam-7040	292	8	khattak	khattak	PROPN
ejpam-7040	292	9	,	,	PUNCT
ejpam-7040	292	10	muhammad	muhammad	PROPN
ejpam-7040	292	11	akbar	akbar	PROPN
ejpam-7040	292	12	,	,	PUNCT
ejpam-7040	292	13	sumbal	sumbal	PROPN
ejpam-7040	292	14	ahsan	ahsan	PROPN
ejpam-7040	292	15	,	,	PUNCT
ejpam-7040	292	16	zahir	zahir	ADJ
ejpam-7040	292	17	shah	shah	NOUN
ejpam-7040	292	18	,	,	PUNCT
ejpam-7040	292	19	and	and	CCONJ
ejpam-7040	292	20	adam	adam	PROPN
ejpam-7040	292	21	khan	khan	PROPN
ejpam-7040	292	22	.	.	PUNCT
ejpam-7040	293	1	solution	solution	NOUN
ejpam-7040	293	2	of	of	ADP
ejpam-7040	293	3	fractional	fractional	ADJ
ejpam-7040	293	4	-	-	PUNCT
ejpam-7040	293	5	order	order	NOUN
ejpam-7040	293	6	integro	integro	ADJ
ejpam-7040	293	7	-	-	PUNCT
ejpam-7040	293	8	differential	differential	NOUN
ejpam-7040	293	9	equations	equation	NOUN
ejpam-7040	293	10	using	use	VERB
ejpam-7040	293	11	optimal	optimal	ADJ
ejpam-7040	293	12	homotopy	homotopy	NOUN
ejpam-7040	293	13	asymptotic	asymptotic	ADJ
ejpam-7040	293	14	method	method	NOUN
ejpam-7040	293	15	:	:	PUNCT
ejpam-7040	293	16	r.	r.	NOUN
ejpam-7040	293	17	nawaz	nawaz	PROPN
ejpam-7040	293	18	et	et	PROPN
ejpam-7040	293	19	al	al	PROPN
ejpam-7040	293	20	.	.	PROPN
ejpam-7040	293	21	journal	journal	PROPN
ejpam-7040	293	22	of	of	ADP
ejpam-7040	293	23	thermal	thermal	ADJ
ejpam-7040	293	24	analysis	analysis	NOUN
ejpam-7040	293	25	and	and	CCONJ
ejpam-7040	293	26	calorimetry	calorimetry	NOUN
ejpam-7040	293	27	,	,	PUNCT
ejpam-7040	293	28	146(3):1421–1433	146(3):1421–1433	NUM
ejpam-7040	293	29	,	,	PUNCT
ejpam-7040	293	30	2021	2021	NUM
ejpam-7040	293	31	.	.	PUNCT
ejpam-7040	294	1	[	[	X
ejpam-7040	294	2	12	12	NUM
ejpam-7040	294	3	]	]	X
ejpam-7040	294	4	af	af	PROPN
ejpam-7040	294	5	jameel	jameel	PROPN
ejpam-7040	294	6	,	,	PUNCT
ejpam-7040	294	7	nr	nr	PROPN
ejpam-7040	294	8	anakira	anakira	PROPN
ejpam-7040	294	9	,	,	PUNCT
ejpam-7040	294	10	mm	mm	PROPN
ejpam-7040	294	11	rashidi	rashidi	NOUN
ejpam-7040	294	12	,	,	PUNCT
ejpam-7040	294	13	ak	ak	PROPN
ejpam-7040	294	14	alomari	alomari	PROPN
ejpam-7040	294	15	,	,	PUNCT
ejpam-7040	294	16	a	a	DET
ejpam-7040	294	17	saaban	saaban	NOUN
ejpam-7040	294	18	,	,	PUNCT
ejpam-7040	294	19	and	and	CCONJ
ejpam-7040	294	20	ma	ma	PROPN
ejpam-7040	294	21	shakhatreh	shakhatreh	NOUN
ejpam-7040	294	22	.	.	PUNCT
ejpam-7040	295	1	differential	differential	ADJ
ejpam-7040	295	2	transformation	transformation	NOUN
ejpam-7040	295	3	method	method	NOUN
ejpam-7040	295	4	for	for	ADP
ejpam-7040	295	5	solving	solve	VERB
ejpam-7040	295	6	high	high	ADJ
ejpam-7040	295	7	order	order	NOUN
ejpam-7040	295	8	fuzzy	fuzzy	ADJ
ejpam-7040	295	9	initial	initial	ADJ
ejpam-7040	295	10	value	value	NOUN
ejpam-7040	295	11	problems	problem	NOUN
ejpam-7040	295	12	.	.	PUNCT
ejpam-7040	296	1	italian	italian	ADJ
ejpam-7040	296	2	journal	journal	NOUN
ejpam-7040	296	3	of	of	ADP
ejpam-7040	296	4	pure	pure	ADJ
ejpam-7040	296	5	and	and	CCONJ
ejpam-7040	296	6	applied	applied	ADJ
ejpam-7040	296	7	mathematics	mathematic	NOUN
ejpam-7040	296	8	,	,	PUNCT
ejpam-7040	296	9	39:194–208	39:194–208	PROPN
ejpam-7040	296	10	,	,	PUNCT
ejpam-7040	296	11	2018	2018	NUM
ejpam-7040	296	12	.	.	PUNCT
ejpam-7040	297	1	[	[	X
ejpam-7040	297	2	13	13	NUM
ejpam-7040	297	3	]	]	X
ejpam-7040	297	4	m	m	VERB
ejpam-7040	297	5	matinfar	matinfar	ADJ
ejpam-7040	297	6	,	,	PUNCT
ejpam-7040	297	7	m	m	AUX
ejpam-7040	297	8	saeidy	saeidy	VERB
ejpam-7040	297	9	,	,	PUNCT
ejpam-7040	297	10	and	and	CCONJ
ejpam-7040	297	11	j	j	PROPN
ejpam-7040	297	12	vahidi	vahidi	PROPN
ejpam-7040	297	13	.	.	PUNCT
ejpam-7040	298	1	application	application	NOUN
ejpam-7040	298	2	of	of	ADP
ejpam-7040	298	3	homotopy	homotopy	NOUN
ejpam-7040	298	4	analysis	analysis	NOUN
ejpam-7040	298	5	method	method	NOUN
ejpam-7040	298	6	for	for	ADP
ejpam-7040	298	7	solving	solve	VERB
ejpam-7040	298	8	systems	system	NOUN
ejpam-7040	298	9	of	of	ADP
ejpam-7040	298	10	volterra	volterra	PROPN
ejpam-7040	298	11	integral	integral	ADJ
ejpam-7040	298	12	equations	equation	NOUN
ejpam-7040	298	13	.	.	PUNCT
ejpam-7040	299	1	advances	advance	NOUN
ejpam-7040	299	2	in	in	ADP
ejpam-7040	299	3	applied	apply	VERB
ejpam-7040	299	4	mathematics	mathematic	NOUN
ejpam-7040	299	5	and	and	CCONJ
ejpam-7040	299	6	mechanics	mechanic	NOUN
ejpam-7040	299	7	,	,	PUNCT
ejpam-7040	299	8	4(1):36–45	4(1):36–45	NUM
ejpam-7040	299	9	,	,	PUNCT
ejpam-7040	299	10	2012	2012	NUM
ejpam-7040	299	11	.	.	PUNCT
ejpam-7040	300	1	[	[	X
ejpam-7040	300	2	14	14	NUM
ejpam-7040	300	3	]	]	PUNCT
ejpam-7040	300	4	ahmed	ahme	VERB
ejpam-7040	300	5	a	a	DET
ejpam-7040	300	6	hamoud	hamoud	NOUN
ejpam-7040	300	7	,	,	PUNCT
ejpam-7040	300	8	lafta	lafta	ADP
ejpam-7040	300	9	a	a	DET
ejpam-7040	300	10	dawood	dawood	PROPN
ejpam-7040	300	11	,	,	PUNCT
ejpam-7040	300	12	kp	kp	PROPN
ejpam-7040	300	13	ghadle	ghadle	PROPN
ejpam-7040	300	14	,	,	PUNCT
ejpam-7040	300	15	and	and	CCONJ
ejpam-7040	300	16	sm	sm	PROPN
ejpam-7040	300	17	atshan	atshan	NOUN
ejpam-7040	300	18	.	.	PUNCT
ejpam-7040	301	1	usage	usage	NOUN
ejpam-7040	301	2	of	of	ADP
ejpam-7040	301	3	the	the	DET
ejpam-7040	301	4	modified	modify	VERB
ejpam-7040	301	5	variational	variational	ADJ
ejpam-7040	301	6	iteration	iteration	NOUN
ejpam-7040	301	7	technique	technique	NOUN
ejpam-7040	301	8	for	for	ADP
ejpam-7040	301	9	solving	solve	VERB
ejpam-7040	301	10	fredholm	fredholm	NOUN
ejpam-7040	301	11	integro	integro	ADJ
ejpam-7040	301	12	-	-	PUNCT
ejpam-7040	301	13	differential	differential	NOUN
ejpam-7040	301	14	equations	equation	NOUN
ejpam-7040	301	15	.	.	PUNCT
ejpam-7040	302	1	volume	volume	NOUN
ejpam-7040	302	2	9	9	NUM
ejpam-7040	302	3	,	,	PUNCT
ejpam-7040	302	4	pages	page	NOUN
ejpam-7040	302	5	895–902	895–902	NUM
ejpam-7040	302	6	,	,	PUNCT
ejpam-7040	302	7	2019	2019	NUM
ejpam-7040	302	8	.	.	PUNCT
ejpam-7040	303	1	[	[	X
ejpam-7040	303	2	15	15	NUM
ejpam-7040	303	3	]	]	X
ejpam-7040	303	4	zhimin	zhimin	NOUN
ejpam-7040	303	5	hong	hong	PROPN
ejpam-7040	303	6	,	,	PUNCT
ejpam-7040	303	7	xiangzhong	xiangzhong	PROPN
ejpam-7040	303	8	fang	fang	X
ejpam-7040	303	9	,	,	PUNCT
ejpam-7040	303	10	zaizai	zaizai	NOUN
ejpam-7040	303	11	yan	yan	PROPN
ejpam-7040	303	12	,	,	PUNCT
ejpam-7040	303	13	and	and	CCONJ
ejpam-7040	303	14	hui	hui	PROPN
ejpam-7040	303	15	hao	hao	PROPN
ejpam-7040	303	16	.	.	PUNCT
ejpam-7040	304	1	on	on	ADP
ejpam-7040	304	2	solving	solve	VERB
ejpam-7040	304	3	a	a	DET
ejpam-7040	304	4	system	system	NOUN
ejpam-7040	304	5	of	of	ADP
ejpam-7040	304	6	volterra	volterra	PROPN
ejpam-7040	304	7	integral	integral	ADJ
ejpam-7040	304	8	equations	equation	NOUN
ejpam-7040	304	9	with	with	ADP
ejpam-7040	304	10	relaxed	relaxed	ADJ
ejpam-7040	304	11	monte	monte	PROPN
ejpam-7040	304	12	carlo	carlo	PROPN
ejpam-7040	304	13	method	method	PROPN
ejpam-7040	304	14	.	.	PUNCT
ejpam-7040	305	1	journal	journal	NOUN
ejpam-7040	305	2	of	of	ADP
ejpam-7040	305	3	applied	apply	VERB
ejpam-7040	305	4	mathematics	mathematic	NOUN
ejpam-7040	305	5	and	and	CCONJ
ejpam-7040	305	6	physics	physics	PROPN
ejpam-7040	305	7	,	,	PUNCT
ejpam-7040	305	8	4(7):1315–1320	4(7):1315–1320	PROPN
ejpam-7040	305	9	,	,	PUNCT
ejpam-7040	305	10	2016	2016	NUM
ejpam-7040	305	11	.	.	PUNCT
ejpam-7040	306	1	[	[	X
ejpam-7040	306	2	16	16	NUM
ejpam-7040	306	3	]	]	X
ejpam-7040	306	4	praveen	praveen	PROPN
ejpam-7040	306	5	agarwal	agarwal	PROPN
ejpam-7040	306	6	,	,	PUNCT
ejpam-7040	306	7	abd	abd	PROPN
ejpam-7040	306	8	-	-	PUNCT
ejpam-7040	306	9	allah	allah	PROPN
ejpam-7040	306	10	hyder	hyder	PROPN
ejpam-7040	306	11	,	,	PUNCT
ejpam-7040	306	12	mohammed	mohammed	PROPN
ejpam-7040	306	13	zakarya	zakarya	PROPN
ejpam-7040	306	14	,	,	PUNCT
ejpam-7040	306	15	ghada	ghada	PROPN
ejpam-7040	306	16	alnemer	alnemer	PROPN
ejpam-7040	306	17	,	,	PUNCT
ejpam-7040	306	18	clemente	clemente	PROPN
ejpam-7040	306	19	cesarano	cesarano	PROPN
ejpam-7040	306	20	,	,	PUNCT
ejpam-7040	306	21	and	and	CCONJ
ejpam-7040	306	22	dario	dario	PROPN
ejpam-7040	306	23	assante	assante	PROPN
ejpam-7040	306	24	.	.	PUNCT
ejpam-7040	307	1	exact	exact	ADJ
ejpam-7040	307	2	solutions	solution	NOUN
ejpam-7040	307	3	for	for	ADP
ejpam-7040	307	4	a	a	DET
ejpam-7040	307	5	class	class	NOUN
ejpam-7040	307	6	of	of	ADP
ejpam-7040	307	7	wick	wick	NOUN
ejpam-7040	307	8	-	-	PUNCT
ejpam-7040	307	9	type	type	NOUN
ejpam-7040	307	10	stochastic	stochastic	NOUN
ejpam-7040	307	11	(	(	PUNCT
ejpam-7040	307	12	3	3	NUM
ejpam-7040	307	13	+	+	NUM
ejpam-7040	307	14	1)-dimensional	1)-dimensional	NUM
ejpam-7040	307	15	modified	modified	ADJ
ejpam-7040	307	16	benjamin	benjamin	NOUN
ejpam-7040	307	17	–	–	PUNCT
ejpam-7040	307	18	bona	bona	ADJ
ejpam-7040	307	19	–	–	PUNCT
ejpam-7040	307	20	mahony	mahony	NOUN
ejpam-7040	307	21	equations	equation	NOUN
ejpam-7040	307	22	.	.	PUNCT
ejpam-7040	308	1	axioms	axiom	NOUN
ejpam-7040	308	2	,	,	PUNCT
ejpam-7040	308	3	8(4):134	8(4):134	NUM
ejpam-7040	308	4	,	,	PUNCT
ejpam-7040	308	5	2019	2019	NUM
ejpam-7040	308	6	.	.	PUNCT
ejpam-7040	309	1	[	[	X
ejpam-7040	309	2	17	17	NUM
ejpam-7040	309	3	]	]	X
ejpam-7040	309	4	nidal	nidal	PROPN
ejpam-7040	309	5	ratib	ratib	PROPN
ejpam-7040	309	6	anakira	anakira	PROPN
ejpam-7040	309	7	,	,	PUNCT
ejpam-7040	309	8	af	af	PROPN
ejpam-7040	309	9	jameel	jameel	PROPN
ejpam-7040	309	10	,	,	PUNCT
ejpam-7040	309	11	abedel	abedel	PROPN
ejpam-7040	309	12	-	-	PUNCT
ejpam-7040	309	13	karrem	karrem	VERB
ejpam-7040	309	14	alomari	alomari	PROPN
ejpam-7040	309	15	,	,	PUNCT
ejpam-7040	309	16	azizan	azizan	ADJ
ejpam-7040	309	17	saaban	saaban	PROPN
ejpam-7040	309	18	,	,	PUNCT
ejpam-7040	309	19	mohammad	mohammad	PROPN
ejpam-7040	309	20	almahameed	almahameed	PROPN
ejpam-7040	309	21	,	,	PUNCT
ejpam-7040	309	22	and	and	CCONJ
ejpam-7040	309	23	ihm	ihm	PROPN
ejpam-7040	309	24	hashim	hashim	PROPN
ejpam-7040	309	25	.	.	PUNCT
ejpam-7040	310	1	approximate	approximate	ADJ
ejpam-7040	310	2	solutions	solution	NOUN
ejpam-7040	310	3	of	of	ADP
ejpam-7040	310	4	multi	multi	ADJ
ejpam-7040	310	5	-	-	ADJ
ejpam-7040	310	6	pantograph	pantograph	ADJ
ejpam-7040	310	7	type	type	NOUN
ejpam-7040	310	8	delay	delay	NOUN
ejpam-7040	310	9	differential	differential	NOUN
ejpam-7040	310	10	equations	equation	NOUN
ejpam-7040	310	11	using	use	VERB
ejpam-7040	310	12	multistage	multistage	NOUN
ejpam-7040	310	13	optimal	optimal	ADJ
ejpam-7040	310	14	homotopy	homotopy	NOUN
ejpam-7040	310	15	asymptotic	asymptotic	ADJ
ejpam-7040	310	16	method	method	NOUN
ejpam-7040	310	17	.	.	PUNCT
ejpam-7040	311	1	journal	journal	NOUN
ejpam-7040	311	2	of	of	ADP
ejpam-7040	311	3	mathematical	mathematical	ADJ
ejpam-7040	311	4	and	and	CCONJ
ejpam-7040	311	5	fundamental	fundamental	ADJ
ejpam-7040	311	6	sciences	science	NOUN
ejpam-7040	311	7	,	,	PUNCT
ejpam-7040	311	8	2018	2018	NUM
ejpam-7040	311	9	.	.	PUNCT
ejpam-7040	312	1	[	[	X
ejpam-7040	312	2	18	18	NUM
ejpam-7040	312	3	]	]	PUNCT
ejpam-7040	312	4	n	n	PRON
ejpam-7040	312	5	rabit	rabit	NOUN
ejpam-7040	312	6	anakira	anakira	PROPN
ejpam-7040	312	7	,	,	PUNCT
ejpam-7040	312	8	ak	ak	PROPN
ejpam-7040	312	9	alomari	alomari	PROPN
ejpam-7040	312	10	,	,	PUNCT
ejpam-7040	312	11	af	af	PROPN
ejpam-7040	312	12	jameel	jameel	PROPN
ejpam-7040	312	13	,	,	PUNCT
ejpam-7040	312	14	and	and	CCONJ
ejpam-7040	312	15	ishak	ishak	VERB
ejpam-7040	312	16	hashim	hashim	PROPN
ejpam-7040	312	17	.	.	PUNCT
ejpam-7040	313	1	multistage	multistage	VERB
ejpam-7040	313	2	optimal	optimal	ADJ
ejpam-7040	313	3	homotopy	homotopy	NOUN
ejpam-7040	313	4	asymptotic	asymptotic	ADJ
ejpam-7040	313	5	method	method	NOUN
ejpam-7040	313	6	for	for	ADP
ejpam-7040	313	7	solving	solve	VERB
ejpam-7040	313	8	initial	initial	ADJ
ejpam-7040	313	9	-	-	PUNCT
ejpam-7040	313	10	value	value	NOUN
ejpam-7040	313	11	problems	problem	NOUN
ejpam-7040	313	12	.	.	PUNCT
ejpam-7040	314	1	j.	j.	PROPN
ejpam-7040	314	2	nonlinear	nonlinear	PROPN
ejpam-7040	314	3	sci	sci	PROPN
ejpam-7040	314	4	.	.	PUNCT
ejpam-7040	314	5	n.	n.	PROPN
ejpam-7040	314	6	anakira	anakira	PROPN
ejpam-7040	314	7	et	et	PROPN
ejpam-7040	314	8	al	al	PROPN
ejpam-7040	314	9	.	.	PUNCT
ejpam-7040	314	10	/	/	SYM
ejpam-7040	314	11	eur	eur	PROPN
ejpam-7040	314	12	.	.	PUNCT
ejpam-7040	315	1	j.	j.	PROPN
ejpam-7040	315	2	pure	pure	PROPN
ejpam-7040	315	3	appl	appl	PROPN
ejpam-7040	315	4	.	.	PROPN
ejpam-7040	315	5	math	math	PROPN
ejpam-7040	315	6	,	,	PUNCT
ejpam-7040	315	7	18	18	NUM
ejpam-7040	315	8	(	(	PUNCT
ejpam-7040	315	9	4	4	NUM
ejpam-7040	315	10	)	)	PUNCT
ejpam-7040	315	11	(	(	PUNCT
ejpam-7040	315	12	2025	2025	NUM
ejpam-7040	315	13	)	)	PUNCT
ejpam-7040	315	14	,	,	PUNCT
ejpam-7040	315	15	7040	7040	NUM
ejpam-7040	315	16	15	15	NUM
ejpam-7040	315	17	of	of	ADP
ejpam-7040	315	18	16	16	NUM
ejpam-7040	315	19	appl	appl	NOUN
ejpam-7040	315	20	,	,	PUNCT
ejpam-7040	315	21	9(4):1826–1843	9(4):1826–1843	PROPN
ejpam-7040	315	22	,	,	PUNCT
ejpam-7040	315	23	2016	2016	NUM
ejpam-7040	315	24	.	.	PUNCT
ejpam-7040	316	1	[	[	X
ejpam-7040	316	2	19	19	NUM
ejpam-7040	316	3	]	]	X
ejpam-7040	316	4	ali	ali	PROPN
ejpam-7040	316	5	jameel	jameel	PROPN
ejpam-7040	316	6	,	,	PUNCT
ejpam-7040	316	7	nr	nr	PROPN
ejpam-7040	316	8	anakira	anakira	PROPN
ejpam-7040	316	9	,	,	PUNCT
ejpam-7040	316	10	ak	ak	PROPN
ejpam-7040	316	11	alomari	alomari	PROPN
ejpam-7040	316	12	,	,	PUNCT
ejpam-7040	316	13	ishak	ishak	PROPN
ejpam-7040	316	14	hashim	hashim	PROPN
ejpam-7040	316	15	,	,	PUNCT
ejpam-7040	316	16	and	and	CCONJ
ejpam-7040	316	17	ma	ma	PROPN
ejpam-7040	316	18	shakhatreh	shakhatreh	PROPN
ejpam-7040	316	19	.	.	PUNCT
ejpam-7040	317	1	numerical	numerical	ADJ
ejpam-7040	317	2	solution	solution	NOUN
ejpam-7040	317	3	of	of	ADP
ejpam-7040	317	4	n’th	n’th	ADJ
ejpam-7040	317	5	order	order	NOUN
ejpam-7040	317	6	fuzzy	fuzzy	ADJ
ejpam-7040	317	7	initial	initial	ADJ
ejpam-7040	317	8	value	value	NOUN
ejpam-7040	317	9	problems	problem	NOUN
ejpam-7040	317	10	by	by	ADP
ejpam-7040	317	11	six	six	NUM
ejpam-7040	317	12	stages	stage	NOUN
ejpam-7040	317	13	.	.	PUNCT
ejpam-7040	318	1	journal	journal	NOUN
ejpam-7040	318	2	of	of	ADP
ejpam-7040	318	3	nonlinear	nonlinear	ADJ
ejpam-7040	318	4	science	science	NOUN
ejpam-7040	318	5	and	and	CCONJ
ejpam-7040	318	6	applications	application	NOUN
ejpam-7040	318	7	,	,	PUNCT
ejpam-7040	318	8	2016	2016	NUM
ejpam-7040	318	9	.	.	PUNCT
ejpam-7040	319	1	[	[	X
ejpam-7040	319	2	20	20	NUM
ejpam-7040	319	3	]	]	PUNCT
ejpam-7040	319	4	abdul	abdul	PROPN
ejpam-7040	319	5	hadi	hadi	PROPN
ejpam-7040	319	6	bhatti	bhatti	PROPN
ejpam-7040	319	7	,	,	PUNCT
ejpam-7040	319	8	sharmila	sharmila	PROPN
ejpam-7040	319	9	karim	karim	PROPN
ejpam-7040	319	10	,	,	PUNCT
ejpam-7040	319	11	ala	ala	PROPN
ejpam-7040	319	12	amourah	amourah	PROPN
ejpam-7040	319	13	,	,	PUNCT
ejpam-7040	319	14	ali	ali	PROPN
ejpam-7040	319	15	fareed	fareed	PROPN
ejpam-7040	319	16	jameel	jameel	PROPN
ejpam-7040	319	17	,	,	PUNCT
ejpam-7040	319	18	feras	feras	PROPN
ejpam-7040	319	19	yousef	yousef	PROPN
ejpam-7040	319	20	,	,	PUNCT
ejpam-7040	319	21	and	and	CCONJ
ejpam-7040	319	22	nidal	nidal	PROPN
ejpam-7040	319	23	anakira	anakira	PROPN
ejpam-7040	319	24	.	.	PUNCT
ejpam-7040	320	1	a	a	DET
ejpam-7040	320	2	novel	novel	ADJ
ejpam-7040	320	3	approximation	approximation	NOUN
ejpam-7040	320	4	method	method	NOUN
ejpam-7040	320	5	for	for	ADP
ejpam-7040	320	6	solving	solve	VERB
ejpam-7040	320	7	ordinary	ordinary	ADJ
ejpam-7040	320	8	differential	differential	ADJ
ejpam-7040	320	9	equations	equation	NOUN
ejpam-7040	320	10	using	use	VERB
ejpam-7040	320	11	the	the	DET
ejpam-7040	320	12	representation	representation	NOUN
ejpam-7040	320	13	of	of	ADP
ejpam-7040	320	14	ball	ball	NOUN
ejpam-7040	320	15	curves	curve	NOUN
ejpam-7040	320	16	.	.	PUNCT
ejpam-7040	321	1	mathematics	mathematic	NOUN
ejpam-7040	321	2	,	,	PUNCT
ejpam-7040	321	3	13(2):250	13(2):250	NUM
ejpam-7040	321	4	,	,	PUNCT
ejpam-7040	321	5	2025	2025	NUM
ejpam-7040	321	6	.	.	PUNCT
ejpam-7040	322	1	[	[	X
ejpam-7040	322	2	21	21	NUM
ejpam-7040	322	3	]	]	X
ejpam-7040	322	4	nidal	nidal	PROPN
ejpam-7040	322	5	anakira	anakira	PROPN
ejpam-7040	322	6	,	,	PUNCT
ejpam-7040	322	7	osama	osama	PROPN
ejpam-7040	322	8	oqilat	oqilat	NOUN
ejpam-7040	322	9	,	,	PUNCT
ejpam-7040	322	10	adel	adel	PROPN
ejpam-7040	322	11	almalki	almalki	ADV
ejpam-7040	322	12	,	,	PUNCT
ejpam-7040	322	13	irianto	irianto	ADP
ejpam-7040	322	14	irianto	irianto	ADP
ejpam-7040	322	15	,	,	PUNCT
ejpam-7040	322	16	saad	saad	PROPN
ejpam-7040	322	17	meqdad	meqdad	PROPN
ejpam-7040	322	18	,	,	PUNCT
ejpam-7040	322	19	and	and	CCONJ
ejpam-7040	322	20	ala	ala	PROPN
ejpam-7040	322	21	amourah	amourah	PROPN
ejpam-7040	322	22	.	.	PUNCT
ejpam-7040	323	1	numerical	numerical	ADJ
ejpam-7040	323	2	proceduers	proceduer	NOUN
ejpam-7040	323	3	for	for	ADP
ejpam-7040	323	4	computing	compute	VERB
ejpam-7040	323	5	the	the	DET
ejpam-7040	323	6	exact	exact	ADJ
ejpam-7040	323	7	solutions	solution	NOUN
ejpam-7040	323	8	to	to	ADP
ejpam-7040	323	9	systems	system	NOUN
ejpam-7040	323	10	of	of	ADP
ejpam-7040	323	11	ordinary	ordinary	ADJ
ejpam-7040	323	12	differential	differential	ADJ
ejpam-7040	323	13	equations	equation	NOUN
ejpam-7040	323	14	.	.	PUNCT
ejpam-7040	324	1	int	int	NOUN
ejpam-7040	324	2	.	.	PUNCT
ejpam-7040	325	1	j.	j.	PROPN
ejpam-7040	325	2	neutrosophic	neutrosophic	PROPN
ejpam-7040	325	3	sci	sci	PROPN
ejpam-7040	325	4	,	,	PUNCT
ejpam-7040	325	5	2:165–65	2:165–65	NUM
ejpam-7040	325	6	,	,	PUNCT
ejpam-7040	325	7	2025	2025	NUM
ejpam-7040	325	8	.	.	PUNCT
ejpam-7040	326	1	[	[	X
ejpam-7040	326	2	22	22	NUM
ejpam-7040	326	3	]	]	PUNCT
ejpam-7040	326	4	ak	ak	PROPN
ejpam-7040	326	5	alomari	alomari	PROPN
ejpam-7040	326	6	,	,	PUNCT
ejpam-7040	326	7	n	n	PROPN
ejpam-7040	326	8	ratib	ratib	PROPN
ejpam-7040	326	9	anakira	anakira	PROPN
ejpam-7040	326	10	,	,	PUNCT
ejpam-7040	326	11	and	and	CCONJ
ejpam-7040	326	12	i	i	PRON
ejpam-7040	326	13	hashim	hashim	PROPN
ejpam-7040	326	14	.	.	PUNCT
ejpam-7040	327	1	multiple	multiple	ADJ
ejpam-7040	327	2	solutions	solution	NOUN
ejpam-7040	327	3	of	of	ADP
ejpam-7040	327	4	problems	problem	NOUN
ejpam-7040	327	5	in	in	ADP
ejpam-7040	327	6	fluid	fluid	ADJ
ejpam-7040	327	7	mechanics	mechanic	NOUN
ejpam-7040	327	8	by	by	ADP
ejpam-7040	327	9	predictor	predictor	NOUN
ejpam-7040	327	10	optimal	optimal	ADJ
ejpam-7040	327	11	homotopy	homotopy	PROPN
ejpam-7040	327	12	asymptotic	asymptotic	ADJ
ejpam-7040	327	13	method	method	NOUN
ejpam-7040	327	14	.	.	PUNCT
ejpam-7040	328	1	advances	advance	NOUN
ejpam-7040	328	2	in	in	ADP
ejpam-7040	328	3	mechanical	mechanical	ADJ
ejpam-7040	328	4	engineering	engineering	NOUN
ejpam-7040	328	5	,	,	PUNCT
ejpam-7040	328	6	6:372537	6:372537	NUM
ejpam-7040	328	7	,	,	PUNCT
ejpam-7040	328	8	2014	2014	NUM
ejpam-7040	328	9	.	.	PUNCT
ejpam-7040	329	1	[	[	X
ejpam-7040	329	2	23	23	NUM
ejpam-7040	329	3	]	]	X
ejpam-7040	329	4	ala	ala	PROPN
ejpam-7040	329	5	amourah	amourah	PROPN
ejpam-7040	329	6	,	,	PUNCT
ejpam-7040	329	7	omar	omar	PROPN
ejpam-7040	329	8	alnajar	alnajar	PROPN
ejpam-7040	329	9	,	,	PUNCT
ejpam-7040	329	10	maslina	maslina	NOUN
ejpam-7040	329	11	darus	darus	PROPN
ejpam-7040	329	12	,	,	PUNCT
ejpam-7040	329	13	ala	ala	PROPN
ejpam-7040	329	14	shdouh	shdouh	NOUN
ejpam-7040	329	15	,	,	PUNCT
ejpam-7040	329	16	and	and	CCONJ
ejpam-7040	329	17	osama	osama	PROPN
ejpam-7040	329	18	ogilat	ogilat	NOUN
ejpam-7040	329	19	.	.	PUNCT
ejpam-7040	330	1	estimates	estimate	NOUN
ejpam-7040	330	2	for	for	ADP
ejpam-7040	330	3	the	the	DET
ejpam-7040	330	4	coefficients	coefficient	NOUN
ejpam-7040	330	5	of	of	ADP
ejpam-7040	330	6	subclasses	subclass	NOUN
ejpam-7040	330	7	defined	define	VERB
ejpam-7040	330	8	by	by	ADP
ejpam-7040	330	9	the	the	DET
ejpam-7040	330	10	bell	bell	NOUN
ejpam-7040	330	11	distribution	distribution	NOUN
ejpam-7040	330	12	of	of	ADP
ejpam-7040	330	13	bi	bi	ADJ
ejpam-7040	330	14	-	-	ADJ
ejpam-7040	330	15	univalent	univalent	ADJ
ejpam-7040	330	16	functions	function	NOUN
ejpam-7040	330	17	subordinate	subordinate	VERB
ejpam-7040	330	18	to	to	ADP
ejpam-7040	330	19	gegenbauer	gegenbauer	NOUN
ejpam-7040	330	20	polynomials	polynomial	NOUN
ejpam-7040	330	21	.	.	PUNCT
ejpam-7040	331	1	mathematics	mathematic	NOUN
ejpam-7040	331	2	,	,	PUNCT
ejpam-7040	331	3	11(8):1799	11(8):1799	NUM
ejpam-7040	331	4	,	,	PUNCT
ejpam-7040	331	5	2023	2023	NUM
ejpam-7040	331	6	.	.	PUNCT
ejpam-7040	332	1	[	[	X
ejpam-7040	332	2	24	24	NUM
ejpam-7040	332	3	]	]	X
ejpam-7040	332	4	abdullah	abdullah	PROPN
ejpam-7040	332	5	alsoboh	alsoboh	PROPN
ejpam-7040	332	6	,	,	PUNCT
ejpam-7040	332	7	ala	ala	PROPN
ejpam-7040	332	8	amourah	amourah	PROPN
ejpam-7040	332	9	,	,	PUNCT
ejpam-7040	332	10	maslina	maslina	NOUN
ejpam-7040	332	11	darus	darus	NOUN
ejpam-7040	332	12	,	,	PUNCT
ejpam-7040	332	13	and	and	CCONJ
ejpam-7040	332	14	carla	carla	PROPN
ejpam-7040	332	15	amoi	amoi	AUX
ejpam-7040	332	16	rudder	rudder	VERB
ejpam-7040	332	17	.	.	PUNCT
ejpam-7040	333	1	investigating	investigate	VERB
ejpam-7040	333	2	new	new	ADJ
ejpam-7040	333	3	subclasses	subclass	NOUN
ejpam-7040	333	4	of	of	ADP
ejpam-7040	333	5	bi	bi	ADJ
ejpam-7040	333	6	-	-	ADJ
ejpam-7040	333	7	univalent	univalent	ADJ
ejpam-7040	333	8	functions	function	NOUN
ejpam-7040	333	9	associated	associate	VERB
ejpam-7040	333	10	with	with	ADP
ejpam-7040	333	11	q	q	ADJ
ejpam-7040	333	12	-	-	ADJ
ejpam-7040	333	13	pascal	pascal	ADJ
ejpam-7040	333	14	distribution	distribution	NOUN
ejpam-7040	333	15	series	series	NOUN
ejpam-7040	333	16	using	use	VERB
ejpam-7040	333	17	the	the	DET
ejpam-7040	333	18	subordination	subordination	NOUN
ejpam-7040	333	19	principle	principle	NOUN
ejpam-7040	333	20	.	.	PUNCT
ejpam-7040	334	1	symmetry	symmetry	NOUN
ejpam-7040	334	2	,	,	PUNCT
ejpam-7040	334	3	15(5):1109	15(5):1109	NUM
ejpam-7040	334	4	,	,	PUNCT
ejpam-7040	334	5	2023	2023	NUM
ejpam-7040	334	6	.	.	PUNCT
ejpam-7040	335	1	[	[	X
ejpam-7040	335	2	25	25	NUM
ejpam-7040	335	3	]	]	PUNCT
ejpam-7040	335	4	n	n	PRON
ejpam-7040	335	5	ratib	ratib	PROPN
ejpam-7040	335	6	anakira	anakira	PROPN
ejpam-7040	335	7	,	,	PUNCT
ejpam-7040	335	8	ak	ak	PROPN
ejpam-7040	335	9	alomari	alomari	PROPN
ejpam-7040	335	10	,	,	PUNCT
ejpam-7040	335	11	and	and	CCONJ
ejpam-7040	335	12	ishak	ishak	VERB
ejpam-7040	335	13	hashim	hashim	PROPN
ejpam-7040	335	14	.	.	PUNCT
ejpam-7040	336	1	numerical	numerical	ADJ
ejpam-7040	336	2	scheme	scheme	NOUN
ejpam-7040	336	3	for	for	ADP
ejpam-7040	336	4	solving	solve	VERB
ejpam-7040	336	5	singular	singular	ADJ
ejpam-7040	336	6	two	two	NUM
ejpam-7040	336	7	-	-	PUNCT
ejpam-7040	336	8	point	point	NOUN
ejpam-7040	336	9	boundary	boundary	ADJ
ejpam-7040	336	10	value	value	NOUN
ejpam-7040	336	11	problems	problem	NOUN
ejpam-7040	336	12	.	.	PUNCT
ejpam-7040	337	1	journal	journal	NOUN
ejpam-7040	337	2	of	of	ADP
ejpam-7040	337	3	applied	apply	VERB
ejpam-7040	337	4	mathematics	mathematic	NOUN
ejpam-7040	337	5	,	,	PUNCT
ejpam-7040	337	6	2013(1):468909	2013(1):468909	NUM
ejpam-7040	337	7	,	,	PUNCT
ejpam-7040	337	8	2013	2013	NUM
ejpam-7040	337	9	.	.	PUNCT
ejpam-7040	338	1	[	[	X
ejpam-7040	338	2	26	26	NUM
ejpam-7040	338	3	]	]	PUNCT
ejpam-7040	338	4	n	n	PRON
ejpam-7040	338	5	ratib	ratib	PROPN
ejpam-7040	338	6	anakira	anakira	PROPN
ejpam-7040	338	7	,	,	PUNCT
ejpam-7040	338	8	ak	ak	PROPN
ejpam-7040	338	9	alomari	alomari	PROPN
ejpam-7040	338	10	,	,	PUNCT
ejpam-7040	338	11	and	and	CCONJ
ejpam-7040	338	12	ishak	ishak	VERB
ejpam-7040	338	13	hashim	hashim	PROPN
ejpam-7040	338	14	.	.	PUNCT
ejpam-7040	339	1	application	application	NOUN
ejpam-7040	339	2	of	of	ADP
ejpam-7040	339	3	optimal	optimal	ADJ
ejpam-7040	339	4	homotopy	homotopy	NOUN
ejpam-7040	339	5	asymptotic	asymptotic	ADJ
ejpam-7040	339	6	method	method	NOUN
ejpam-7040	339	7	for	for	ADP
ejpam-7040	339	8	solving	solve	VERB
ejpam-7040	339	9	linear	linear	ADJ
ejpam-7040	339	10	delay	delay	NOUN
ejpam-7040	339	11	differential	differential	ADJ
ejpam-7040	339	12	equations	equation	NOUN
ejpam-7040	339	13	.	.	PUNCT
ejpam-7040	340	1	1571(1):1013–1019	1571(1):1013–1019	NUM
ejpam-7040	340	2	,	,	PUNCT
ejpam-7040	340	3	2013	2013	NUM
ejpam-7040	340	4	.	.	PUNCT
ejpam-7040	341	1	[	[	X
ejpam-7040	341	2	27	27	NUM
ejpam-7040	341	3	]	]	X
ejpam-7040	341	4	sehar	sehar	PROPN
ejpam-7040	341	5	iqbal	iqbal	PROPN
ejpam-7040	341	6	,	,	PUNCT
ejpam-7040	341	7	m	m	PROPN
ejpam-7040	341	8	idrees	idree	NOUN
ejpam-7040	341	9	,	,	PUNCT
ejpam-7040	341	10	abdul	abdul	PROPN
ejpam-7040	341	11	majeed	majeed	PROPN
ejpam-7040	341	12	siddiqui	siddiqui	PROPN
ejpam-7040	341	13	,	,	PUNCT
ejpam-7040	341	14	and	and	CCONJ
ejpam-7040	341	15	ali	ali	PROPN
ejpam-7040	341	16	r	r	NOUN
ejpam-7040	341	17	ansari	ansari	PROPN
ejpam-7040	341	18	.	.	PUNCT
ejpam-7040	342	1	some	some	DET
ejpam-7040	342	2	solutions	solution	NOUN
ejpam-7040	342	3	of	of	ADP
ejpam-7040	342	4	the	the	DET
ejpam-7040	342	5	linear	linear	ADJ
ejpam-7040	342	6	and	and	CCONJ
ejpam-7040	342	7	nonlinear	nonlinear	PROPN
ejpam-7040	342	8	klein	klein	PROPN
ejpam-7040	342	9	–	–	PUNCT
ejpam-7040	342	10	gordon	gordon	PROPN
ejpam-7040	342	11	equations	equation	NOUN
ejpam-7040	342	12	using	use	VERB
ejpam-7040	342	13	the	the	DET
ejpam-7040	342	14	optimal	optimal	ADJ
ejpam-7040	342	15	homotopy	homotopy	NOUN
ejpam-7040	342	16	asymptotic	asymptotic	ADJ
ejpam-7040	342	17	method	method	NOUN
ejpam-7040	342	18	.	.	PUNCT
ejpam-7040	343	1	applied	apply	VERB
ejpam-7040	343	2	mathematics	mathematic	NOUN
ejpam-7040	343	3	and	and	CCONJ
ejpam-7040	343	4	computation	computation	NOUN
ejpam-7040	343	5	,	,	PUNCT
ejpam-7040	343	6	216(10):2898–2909	216(10):2898–2909	NUM
ejpam-7040	343	7	,	,	PUNCT
ejpam-7040	343	8	2010	2010	NUM
ejpam-7040	343	9	.	.	PUNCT
ejpam-7040	344	1	[	[	X
ejpam-7040	344	2	28	28	NUM
ejpam-7040	344	3	]	]	X
ejpam-7040	344	4	mohsen	mohsen	PROPN
ejpam-7040	344	5	sheikholeslami	sheikholeslami	PROPN
ejpam-7040	344	6	,	,	PUNCT
ejpam-7040	344	7	hamid	hamid	PROPN
ejpam-7040	344	8	reza	reza	PROPN
ejpam-7040	344	9	ashorynejad	ashorynejad	PROPN
ejpam-7040	344	10	,	,	PUNCT
ejpam-7040	344	11	davood	davood	ADJ
ejpam-7040	344	12	domairry	domairry	NOUN
ejpam-7040	344	13	,	,	PUNCT
ejpam-7040	344	14	ishak	ishak	PROPN
ejpam-7040	344	15	hashim	hashim	PROPN
ejpam-7040	344	16	,	,	PUNCT
ejpam-7040	344	17	et	et	PROPN
ejpam-7040	344	18	al	al	PROPN
ejpam-7040	344	19	.	.	PROPN
ejpam-7040	344	20	investigation	investigation	NOUN
ejpam-7040	344	21	of	of	ADP
ejpam-7040	344	22	the	the	DET
ejpam-7040	344	23	laminar	laminar	ADJ
ejpam-7040	344	24	viscous	viscous	ADJ
ejpam-7040	344	25	flow	flow	NOUN
ejpam-7040	344	26	in	in	ADP
ejpam-7040	344	27	a	a	DET
ejpam-7040	344	28	semi	semi	ADJ
ejpam-7040	344	29	-	-	ADJ
ejpam-7040	344	30	porous	porous	ADJ
ejpam-7040	344	31	channel	channel	NOUN
ejpam-7040	344	32	in	in	ADP
ejpam-7040	344	33	the	the	DET
ejpam-7040	344	34	presence	presence	NOUN
ejpam-7040	344	35	of	of	ADP
ejpam-7040	344	36	uniform	uniform	ADJ
ejpam-7040	344	37	magnetic	magnetic	ADJ
ejpam-7040	344	38	field	field	NOUN
ejpam-7040	344	39	using	use	VERB
ejpam-7040	344	40	optimal	optimal	ADJ
ejpam-7040	344	41	homotopy	homotopy	NOUN
ejpam-7040	344	42	asymptotic	asymptotic	ADJ
ejpam-7040	344	43	method	method	NOUN
ejpam-7040	344	44	.	.	PUNCT
ejpam-7040	345	1	volume	volume	NOUN
ejpam-7040	345	2	41	41	NUM
ejpam-7040	345	3	,	,	PUNCT
ejpam-7040	345	4	pages	page	NOUN
ejpam-7040	345	5	1281–1285	1281–1285	NUM
ejpam-7040	345	6	,	,	PUNCT
ejpam-7040	345	7	2012	2012	NUM
ejpam-7040	345	8	.	.	PUNCT
ejpam-7040	346	1	[	[	X
ejpam-7040	346	2	29	29	NUM
ejpam-7040	346	3	]	]	PUNCT
ejpam-7040	346	4	muhammad	muhammad	PROPN
ejpam-7040	346	5	sadiq	sadiq	PROPN
ejpam-7040	346	6	hashmi	hashmi	PROPN
ejpam-7040	346	7	,	,	PUNCT
ejpam-7040	346	8	nasir	nasir	PROPN
ejpam-7040	346	9	khan	khan	PROPN
ejpam-7040	346	10	,	,	PUNCT
ejpam-7040	346	11	and	and	CCONJ
ejpam-7040	346	12	sehar	sehar	PROPN
ejpam-7040	346	13	iqbal	iqbal	PROPN
ejpam-7040	346	14	.	.	PUNCT
ejpam-7040	347	1	optimal	optimal	ADJ
ejpam-7040	347	2	homotopy	homotopy	PROPN
ejpam-7040	347	3	asymptotic	asymptotic	ADJ
ejpam-7040	347	4	method	method	NOUN
ejpam-7040	347	5	for	for	ADP
ejpam-7040	347	6	solving	solve	VERB
ejpam-7040	347	7	nonlinear	nonlinear	ADJ
ejpam-7040	347	8	fredholm	fredholm	ADJ
ejpam-7040	347	9	integral	integral	ADJ
ejpam-7040	347	10	equations	equation	NOUN
ejpam-7040	347	11	of	of	ADP
ejpam-7040	347	12	second	second	ADJ
ejpam-7040	347	13	kind	kind	NOUN
ejpam-7040	347	14	.	.	PUNCT
ejpam-7040	348	1	applied	apply	VERB
ejpam-7040	348	2	mathematics	mathematic	NOUN
ejpam-7040	348	3	and	and	CCONJ
ejpam-7040	348	4	computation	computation	NOUN
ejpam-7040	348	5	,	,	PUNCT
ejpam-7040	348	6	218(22):10982–10989	218(22):10982–10989	NUM
ejpam-7040	348	7	,	,	PUNCT
ejpam-7040	348	8	2012	2012	NUM
ejpam-7040	348	9	.	.	PUNCT
ejpam-7040	349	1	[	[	X
ejpam-7040	349	2	30	30	NUM
ejpam-7040	349	3	]	]	X
ejpam-7040	349	4	nr	nr	PROPN
ejpam-7040	349	5	anakira	anakira	PROPN
ejpam-7040	349	6	,	,	PUNCT
ejpam-7040	349	7	ak	ak	PROPN
ejpam-7040	349	8	alomari	alomari	PROPN
ejpam-7040	349	9	,	,	PUNCT
ejpam-7040	349	10	af	af	PROPN
ejpam-7040	349	11	jameel	jameel	PROPN
ejpam-7040	349	12	,	,	PUNCT
ejpam-7040	349	13	and	and	CCONJ
ejpam-7040	349	14	i	i	PRON
ejpam-7040	349	15	hashim	hashim	PROPN
ejpam-7040	349	16	.	.	PUNCT
ejpam-7040	350	1	multistage	multistage	VERB
ejpam-7040	350	2	optimal	optimal	ADJ
ejpam-7040	350	3	homotopy	homotopy	NOUN
ejpam-7040	350	4	asymptotic	asymptotic	ADJ
ejpam-7040	350	5	method	method	NOUN
ejpam-7040	350	6	for	for	ADP
ejpam-7040	350	7	solving	solve	VERB
ejpam-7040	350	8	boundary	boundary	ADJ
ejpam-7040	350	9	value	value	NOUN
ejpam-7040	350	10	problems	problem	NOUN
ejpam-7040	350	11	with	with	ADP
ejpam-7040	350	12	robin	robin	PROPN
ejpam-7040	350	13	boundary	boundary	PROPN
ejpam-7040	350	14	conditions	condition	NOUN
ejpam-7040	350	15	.	.	PUNCT
ejpam-7040	351	1	far	far	PROPN
ejpam-7040	351	2	east	east	PROPN
ejpam-7040	351	3	journal	journal	PROPN
ejpam-7040	351	4	of	of	ADP
ejpam-7040	351	5	mathematical	mathematical	ADJ
ejpam-7040	351	6	sciences	science	NOUN
ejpam-7040	351	7	,	,	PUNCT
ejpam-7040	351	8	102(8):1727–1744	102(8):1727–1744	NUM
ejpam-7040	351	9	,	,	PUNCT
ejpam-7040	351	10	2017	2017	NUM
ejpam-7040	351	11	.	.	PUNCT
ejpam-7040	352	1	[	[	X
ejpam-7040	352	2	31	31	NUM
ejpam-7040	352	3	]	]	PUNCT
ejpam-7040	352	4	rashid	rashid	PROPN
ejpam-7040	352	5	nawaz	nawaz	PROPN
ejpam-7040	352	6	,	,	PUNCT
ejpam-7040	352	7	sumbal	sumbal	PROPN
ejpam-7040	352	8	ahsan	ahsan	PROPN
ejpam-7040	352	9	,	,	PUNCT
ejpam-7040	352	10	muhammad	muhammad	PROPN
ejpam-7040	352	11	akbar	akbar	NOUN
ejpam-7040	352	12	,	,	PUNCT
ejpam-7040	352	13	m	m	PROPN
ejpam-7040	352	14	farooq	farooq	PROPN
ejpam-7040	352	15	,	,	PUNCT
ejpam-7040	352	16	m	m	PROPN
ejpam-7040	352	17	sulaiman	sulaiman	PROPN
ejpam-7040	352	18	,	,	PUNCT
ejpam-7040	352	19	hakeem	hakeem	PROPN
ejpam-7040	352	20	ullah	ullah	PROPN
ejpam-7040	352	21	,	,	PUNCT
ejpam-7040	352	22	and	and	CCONJ
ejpam-7040	352	23	saeed	saeed	PROPN
ejpam-7040	352	24	islam	islam	PROPN
ejpam-7040	352	25	.	.	PUNCT
ejpam-7040	353	1	semi	semi	ADJ
ejpam-7040	353	2	analytical	analytical	ADJ
ejpam-7040	353	3	solutions	solution	NOUN
ejpam-7040	353	4	of	of	ADP
ejpam-7040	353	5	second	second	ADJ
ejpam-7040	353	6	type	type	NOUN
ejpam-7040	353	7	of	of	ADP
ejpam-7040	353	8	three	three	NUM
ejpam-7040	353	9	-	-	PUNCT
ejpam-7040	353	10	dimensional	dimensional	ADJ
ejpam-7040	353	11	volterra	volterra	NOUN
ejpam-7040	353	12	integral	integral	ADJ
ejpam-7040	353	13	equations	equation	NOUN
ejpam-7040	353	14	.	.	PUNCT
ejpam-7040	354	1	international	international	ADJ
ejpam-7040	354	2	journal	journal	PROPN
ejpam-7040	354	3	of	of	ADP
ejpam-7040	354	4	applied	applied	ADJ
ejpam-7040	354	5	and	and	CCONJ
ejpam-7040	354	6	computational	computational	ADJ
ejpam-7040	354	7	mathematics	mathematic	NOUN
ejpam-7040	354	8	,	,	PUNCT
ejpam-7040	354	9	6(4):109	6(4):109	NUM
ejpam-7040	354	10	,	,	PUNCT
ejpam-7040	354	11	2020	2020	NUM
ejpam-7040	354	12	.	.	PUNCT
ejpam-7040	355	1	[	[	X
ejpam-7040	355	2	32	32	NUM
ejpam-7040	355	3	]	]	PUNCT
ejpam-7040	355	4	rashid	rashid	PROPN
ejpam-7040	355	5	nawaz	nawaz	PROPN
ejpam-7040	355	6	,	,	PUNCT
ejpam-7040	355	7	abraiz	abraiz	PROPN
ejpam-7040	355	8	khattak	khattak	PROPN
ejpam-7040	355	9	,	,	PUNCT
ejpam-7040	355	10	muhammad	muhammad	PROPN
ejpam-7040	355	11	akbar	akbar	PROPN
ejpam-7040	355	12	,	,	PUNCT
ejpam-7040	355	13	sumbal	sumbal	PROPN
ejpam-7040	355	14	ahsan	ahsan	PROPN
ejpam-7040	355	15	,	,	PUNCT
ejpam-7040	355	16	zahir	zahir	ADJ
ejpam-7040	355	17	shah	shah	NOUN
ejpam-7040	355	18	,	,	PUNCT
ejpam-7040	355	19	and	and	CCONJ
ejpam-7040	355	20	n.	n.	PROPN
ejpam-7040	355	21	anakira	anakira	PROPN
ejpam-7040	355	22	et	et	PROPN
ejpam-7040	355	23	al	al	PROPN
ejpam-7040	355	24	.	.	PUNCT
ejpam-7040	355	25	/	/	SYM
ejpam-7040	355	26	eur	eur	PROPN
ejpam-7040	355	27	.	.	PUNCT
ejpam-7040	356	1	j.	j.	PROPN
ejpam-7040	356	2	pure	pure	PROPN
ejpam-7040	356	3	appl	appl	PROPN
ejpam-7040	356	4	.	.	PROPN
ejpam-7040	356	5	math	math	PROPN
ejpam-7040	356	6	,	,	PUNCT
ejpam-7040	356	7	18	18	NUM
ejpam-7040	356	8	(	(	PUNCT
ejpam-7040	356	9	4	4	NUM
ejpam-7040	356	10	)	)	PUNCT
ejpam-7040	356	11	(	(	PUNCT
ejpam-7040	356	12	2025	2025	NUM
ejpam-7040	356	13	)	)	PUNCT
ejpam-7040	356	14	,	,	PUNCT
ejpam-7040	356	15	7040	7040	NUM
ejpam-7040	356	16	16	16	NUM
ejpam-7040	356	17	of	of	ADP
ejpam-7040	356	18	16	16	NUM
ejpam-7040	356	19	adam	adam	PROPN
ejpam-7040	356	20	khan	khan	PROPN
ejpam-7040	356	21	.	.	PUNCT
ejpam-7040	357	1	solution	solution	NOUN
ejpam-7040	357	2	of	of	ADP
ejpam-7040	357	3	fractional	fractional	ADJ
ejpam-7040	357	4	-	-	PUNCT
ejpam-7040	357	5	order	order	NOUN
ejpam-7040	357	6	integro	integro	ADJ
ejpam-7040	357	7	-	-	PUNCT
ejpam-7040	357	8	differential	differential	NOUN
ejpam-7040	357	9	equations	equation	NOUN
ejpam-7040	357	10	using	use	VERB
ejpam-7040	357	11	optimal	optimal	ADJ
ejpam-7040	357	12	homotopy	homotopy	NOUN
ejpam-7040	357	13	asymptotic	asymptotic	ADJ
ejpam-7040	357	14	method	method	NOUN
ejpam-7040	357	15	:	:	PUNCT
ejpam-7040	357	16	r.	r.	NOUN
ejpam-7040	357	17	nawaz	nawaz	PROPN
ejpam-7040	357	18	et	et	PROPN
ejpam-7040	357	19	al	al	PROPN
ejpam-7040	357	20	.	.	PROPN
ejpam-7040	357	21	journal	journal	PROPN
ejpam-7040	357	22	of	of	ADP
ejpam-7040	357	23	thermal	thermal	ADJ
ejpam-7040	357	24	analysis	analysis	NOUN
ejpam-7040	357	25	and	and	CCONJ
ejpam-7040	357	26	calorimetry	calorimetry	NOUN
ejpam-7040	357	27	,	,	PUNCT
ejpam-7040	357	28	146(3):1421–1433	146(3):1421–1433	NUM
ejpam-7040	357	29	,	,	PUNCT
ejpam-7040	357	30	2021	2021	NUM
ejpam-7040	357	31	.	.	PUNCT