id	sid	tid	token	lemma	pos
ejpam-6166	1	1	european	european	PROPN
ejpam-6166	1	2	journal	journal	PROPN
ejpam-6166	1	3	of	of	ADP
ejpam-6166	1	4	pure	pure	ADJ
ejpam-6166	1	5	and	and	CCONJ
ejpam-6166	1	6	applied	applied	ADJ
ejpam-6166	1	7	mathematics	mathematic	NOUN
ejpam-6166	1	8	2025	2025	NUM
ejpam-6166	1	9	,	,	PUNCT
ejpam-6166	1	10	vol	vol	NOUN
ejpam-6166	1	11	.	.	PROPN
ejpam-6166	1	12	18	18	NUM
ejpam-6166	1	13	,	,	PUNCT
ejpam-6166	1	14	issue	issue	NOUN
ejpam-6166	1	15	2	2	NUM
ejpam-6166	1	16	,	,	PUNCT
ejpam-6166	1	17	article	article	NOUN
ejpam-6166	1	18	number	number	NOUN
ejpam-6166	1	19	6166	6166	NUM
ejpam-6166	1	20	issn	issn	PROPN
ejpam-6166	1	21	1307	1307	NUM
ejpam-6166	1	22	-	-	SYM
ejpam-6166	1	23	5543	5543	NUM
ejpam-6166	1	24	–	–	PUNCT
ejpam-6166	1	25	ejpam.com	ejpam.com	X
ejpam-6166	1	26	published	publish	VERB
ejpam-6166	1	27	by	by	ADP
ejpam-6166	1	28	new	new	PROPN
ejpam-6166	1	29	york	york	PROPN
ejpam-6166	1	30	business	business	PROPN
ejpam-6166	1	31	global	global	PROPN
ejpam-6166	1	32	numerical	numerical	PROPN
ejpam-6166	1	33	investigation	investigation	NOUN
ejpam-6166	1	34	based	base	VERB
ejpam-6166	1	35	on	on	ADP
ejpam-6166	1	36	the	the	DET
ejpam-6166	1	37	chebyshev	chebyshev	NOUN
ejpam-6166	1	38	-	-	PUNCT
ejpam-6166	1	39	hpm	hpm	NOUN
ejpam-6166	1	40	for	for	ADP
ejpam-6166	1	41	breast	breast	NOUN
ejpam-6166	1	42	cancer	cancer	NOUN
ejpam-6166	1	43	as	as	ADP
ejpam-6166	1	44	a	a	DET
ejpam-6166	1	45	mathematical	mathematical	ADJ
ejpam-6166	1	46	model	model	NOUN
ejpam-6166	1	47	m.	m.	PROPN
ejpam-6166	1	48	adel1	adel1	PROPN
ejpam-6166	1	49	,	,	PUNCT
ejpam-6166	1	50	m.	m.	NOUN
ejpam-6166	1	51	m.	m.	PROPN
ejpam-6166	1	52	khader2,∗	khader2,∗	PROPN
ejpam-6166	1	53	,	,	PUNCT
ejpam-6166	1	54	mohammed	mohammed	PROPN
ejpam-6166	1	55	messaoudi2	messaoudi2	PROPN
ejpam-6166	1	56	1	1	NUM
ejpam-6166	1	57	department	department	NOUN
ejpam-6166	1	58	of	of	ADP
ejpam-6166	1	59	mathematics	mathematic	NOUN
ejpam-6166	1	60	,	,	PUNCT
ejpam-6166	1	61	faculty	faculty	NOUN
ejpam-6166	1	62	of	of	ADP
ejpam-6166	1	63	science	science	NOUN
ejpam-6166	1	64	,	,	PUNCT
ejpam-6166	1	65	islamic	islamic	PROPN
ejpam-6166	1	66	university	university	PROPN
ejpam-6166	1	67	of	of	ADP
ejpam-6166	1	68	madinah	madinah	PROPN
ejpam-6166	1	69	,	,	PUNCT
ejpam-6166	1	70	medina	medina	PROPN
ejpam-6166	1	71	,	,	PUNCT
ejpam-6166	1	72	saudi	saudi	PROPN
ejpam-6166	1	73	arabia	arabia	PROPN
ejpam-6166	1	74	2	2	NUM
ejpam-6166	1	75	department	department	NOUN
ejpam-6166	1	76	of	of	ADP
ejpam-6166	1	77	mathematics	mathematic	NOUN
ejpam-6166	1	78	and	and	CCONJ
ejpam-6166	1	79	statistics	statistic	NOUN
ejpam-6166	1	80	,	,	PUNCT
ejpam-6166	1	81	college	college	NOUN
ejpam-6166	1	82	of	of	ADP
ejpam-6166	1	83	science	science	NOUN
ejpam-6166	1	84	,	,	PUNCT
ejpam-6166	1	85	imam	imam	PROPN
ejpam-6166	1	86	mohammad	mohammad	PROPN
ejpam-6166	1	87	ibn	ibn	PROPN
ejpam-6166	1	88	saud	saud	PROPN
ejpam-6166	1	89	islamic	islamic	PROPN
ejpam-6166	1	90	university	university	PROPN
ejpam-6166	1	91	(	(	PUNCT
ejpam-6166	1	92	imsiu	imsiu	PROPN
ejpam-6166	1	93	)	)	PUNCT
ejpam-6166	1	94	,	,	PUNCT
ejpam-6166	1	95	riyadh	riyadh	PROPN
ejpam-6166	1	96	,	,	PUNCT
ejpam-6166	1	97	saudi	saudi	PROPN
ejpam-6166	1	98	arabia	arabia	PROPN
ejpam-6166	1	99	abstract	abstract	NOUN
ejpam-6166	1	100	.	.	PUNCT
ejpam-6166	2	1	we	we	PRON
ejpam-6166	2	2	present	present	VERB
ejpam-6166	2	3	the	the	DET
ejpam-6166	2	4	approximate	approximate	ADJ
ejpam-6166	2	5	solution	solution	NOUN
ejpam-6166	2	6	for	for	ADP
ejpam-6166	2	7	mathematical	mathematical	ADJ
ejpam-6166	2	8	model	model	NOUN
ejpam-6166	2	9	for	for	ADP
ejpam-6166	2	10	breast	breast	NOUN
ejpam-6166	2	11	cancer	cancer	NOUN
ejpam-6166	2	12	(	(	PUNCT
ejpam-6166	2	13	bc	bc	PROPN
ejpam-6166	2	14	)	)	PUNCT
ejpam-6166	2	15	over	over	ADP
ejpam-6166	2	16	three	three	NUM
ejpam-6166	2	17	time	time	NOUN
ejpam-6166	2	18	intervals	interval	NOUN
ejpam-6166	2	19	.	.	PUNCT
ejpam-6166	3	1	the	the	DET
ejpam-6166	3	2	suggested	suggest	VERB
ejpam-6166	3	3	approach	approach	NOUN
ejpam-6166	3	4	depends	depend	VERB
ejpam-6166	3	5	on	on	ADP
ejpam-6166	3	6	the	the	DET
ejpam-6166	3	7	homotopy	homotopy	NOUN
ejpam-6166	3	8	perturbation	perturbation	NOUN
ejpam-6166	3	9	method	method	NOUN
ejpam-6166	3	10	developed	develop	VERB
ejpam-6166	3	11	with	with	ADP
ejpam-6166	3	12	chebyshev	chebyshev	PROPN
ejpam-6166	3	13	series	series	PROPN
ejpam-6166	3	14	(	(	PUNCT
ejpam-6166	3	15	chpm	chpm	PROPN
ejpam-6166	3	16	)	)	PUNCT
ejpam-6166	3	17	.	.	PUNCT
ejpam-6166	4	1	the	the	DET
ejpam-6166	4	2	residual	residual	ADJ
ejpam-6166	4	3	error	error	NOUN
ejpam-6166	4	4	function	function	NOUN
ejpam-6166	4	5	is	be	AUX
ejpam-6166	4	6	calculated	calculate	VERB
ejpam-6166	4	7	and	and	CCONJ
ejpam-6166	4	8	used	use	VERB
ejpam-6166	4	9	as	as	ADP
ejpam-6166	4	10	a	a	DET
ejpam-6166	4	11	basic	basic	ADJ
ejpam-6166	4	12	criterion	criterion	NOUN
ejpam-6166	4	13	in	in	ADP
ejpam-6166	4	14	evaluating	evaluate	VERB
ejpam-6166	4	15	the	the	DET
ejpam-6166	4	16	efficiency	efficiency	NOUN
ejpam-6166	4	17	/	/	SYM
ejpam-6166	4	18	accuracy	accuracy	NOUN
ejpam-6166	4	19	of	of	ADP
ejpam-6166	4	20	the	the	DET
ejpam-6166	4	21	presented	present	VERB
ejpam-6166	4	22	numerical	numerical	ADJ
ejpam-6166	4	23	scheme	scheme	NOUN
ejpam-6166	4	24	.	.	PUNCT
ejpam-6166	5	1	we	we	PRON
ejpam-6166	5	2	utilize	utilize	VERB
ejpam-6166	5	3	the	the	DET
ejpam-6166	5	4	solution	solution	NOUN
ejpam-6166	5	5	by	by	ADP
ejpam-6166	5	6	rk4	rk4	PROPN
ejpam-6166	5	7	method	method	NOUN
ejpam-6166	5	8	for	for	ADP
ejpam-6166	5	9	comparison	comparison	NOUN
ejpam-6166	5	10	with	with	ADP
ejpam-6166	5	11	the	the	DET
ejpam-6166	5	12	results	result	NOUN
ejpam-6166	5	13	of	of	ADP
ejpam-6166	5	14	the	the	DET
ejpam-6166	5	15	method	method	NOUN
ejpam-6166	5	16	used	use	VERB
ejpam-6166	5	17	.	.	PUNCT
ejpam-6166	6	1	through	through	ADP
ejpam-6166	6	2	these	these	DET
ejpam-6166	6	3	results	result	NOUN
ejpam-6166	6	4	,	,	PUNCT
ejpam-6166	6	5	we	we	PRON
ejpam-6166	6	6	can	can	AUX
ejpam-6166	6	7	confirm	confirm	VERB
ejpam-6166	6	8	that	that	SCONJ
ejpam-6166	6	9	the	the	DET
ejpam-6166	6	10	applied	apply	VERB
ejpam-6166	6	11	technique	technique	NOUN
ejpam-6166	6	12	is	be	AUX
ejpam-6166	6	13	an	an	DET
ejpam-6166	6	14	effective	effective	ADJ
ejpam-6166	6	15	tool	tool	NOUN
ejpam-6166	6	16	to	to	PART
ejpam-6166	6	17	give	give	VERB
ejpam-6166	6	18	a	a	DET
ejpam-6166	6	19	simulation	simulation	NOUN
ejpam-6166	6	20	of	of	ADP
ejpam-6166	6	21	such	such	ADJ
ejpam-6166	6	22	models	model	NOUN
ejpam-6166	6	23	.	.	PUNCT
ejpam-6166	7	1	illustrative	illustrative	ADJ
ejpam-6166	7	2	instances	instance	NOUN
ejpam-6166	7	3	are	be	AUX
ejpam-6166	7	4	given	give	VERB
ejpam-6166	7	5	to	to	PART
ejpam-6166	7	6	confirm	confirm	VERB
ejpam-6166	7	7	the	the	DET
ejpam-6166	7	8	validity	validity	NOUN
ejpam-6166	7	9	and	and	CCONJ
ejpam-6166	7	10	usefulness	usefulness	NOUN
ejpam-6166	7	11	of	of	ADP
ejpam-6166	7	12	the	the	DET
ejpam-6166	7	13	proposed	propose	VERB
ejpam-6166	7	14	procedure	procedure	NOUN
ejpam-6166	7	15	.	.	PUNCT
ejpam-6166	8	1	2020	2020	NUM
ejpam-6166	8	2	mathematics	mathematic	NOUN
ejpam-6166	8	3	subject	subject	NOUN
ejpam-6166	8	4	classifications	classification	NOUN
ejpam-6166	8	5	:	:	PUNCT
ejpam-6166	8	6	34a08	34a08	NUM
ejpam-6166	8	7	,	,	PUNCT
ejpam-6166	8	8	65n06	65n06	PRON
ejpam-6166	8	9	key	key	ADJ
ejpam-6166	8	10	words	word	NOUN
ejpam-6166	8	11	and	and	CCONJ
ejpam-6166	8	12	phrases	phrase	NOUN
ejpam-6166	8	13	:	:	PUNCT
ejpam-6166	8	14	breast	breast	NOUN
ejpam-6166	8	15	cancer	cancer	NOUN
ejpam-6166	8	16	,	,	PUNCT
ejpam-6166	8	17	homotopy	homotopy	VERB
ejpam-6166	8	18	perturbation	perturbation	NOUN
ejpam-6166	8	19	method	method	NOUN
ejpam-6166	8	20	,	,	PUNCT
ejpam-6166	8	21	chebyshev	chebyshev	NOUN
ejpam-6166	8	22	expansion	expansion	NOUN
ejpam-6166	8	23	,	,	PUNCT
ejpam-6166	8	24	rk4	rk4	NOUN
ejpam-6166	8	25	method	method	NOUN
ejpam-6166	8	26	1	1	NUM
ejpam-6166	8	27	.	.	PUNCT
ejpam-6166	9	1	introduction	introduction	NOUN
ejpam-6166	9	2	breast	breast	NOUN
ejpam-6166	9	3	cancer	cancer	NOUN
ejpam-6166	9	4	is	be	AUX
ejpam-6166	9	5	characterized	characterize	VERB
ejpam-6166	9	6	as	as	ADP
ejpam-6166	9	7	a	a	DET
ejpam-6166	9	8	pathological	pathological	ADJ
ejpam-6166	9	9	disorder	disorder	NOUN
ejpam-6166	9	10	arising	arise	VERB
ejpam-6166	9	11	from	from	ADP
ejpam-6166	9	12	the	the	DET
ejpam-6166	9	13	unregulated	unregulated	ADJ
ejpam-6166	9	14	growth	growth	NOUN
ejpam-6166	9	15	of	of	ADP
ejpam-6166	9	16	cells	cell	NOUN
ejpam-6166	9	17	in	in	ADP
ejpam-6166	9	18	breast	breast	NOUN
ejpam-6166	9	19	tissue	tissue	NOUN
ejpam-6166	9	20	.	.	PUNCT
ejpam-6166	10	1	according	accord	VERB
ejpam-6166	10	2	to	to	ADP
ejpam-6166	10	3	extensive	extensive	ADJ
ejpam-6166	10	4	statistics	statistic	NOUN
ejpam-6166	10	5	from	from	ADP
ejpam-6166	10	6	the	the	PRON
ejpam-6166	10	7	who	who	PRON
ejpam-6166	10	8	regarding	regard	VERB
ejpam-6166	10	9	the	the	DET
ejpam-6166	10	10	worldwide	worldwide	ADJ
ejpam-6166	10	11	burden	burden	NOUN
ejpam-6166	10	12	of	of	ADP
ejpam-6166	10	13	cancer	cancer	NOUN
ejpam-6166	10	14	,	,	PUNCT
ejpam-6166	10	15	bc	bc	PROPN
ejpam-6166	10	16	exhibits	exhibit	VERB
ejpam-6166	10	17	the	the	DET
ejpam-6166	10	18	highest	high	ADJ
ejpam-6166	10	19	spread	spread	ADJ
ejpam-6166	10	20	rate	rate	NOUN
ejpam-6166	10	21	relative	relative	ADJ
ejpam-6166	10	22	to	to	ADP
ejpam-6166	10	23	other	other	ADJ
ejpam-6166	10	24	types	type	NOUN
ejpam-6166	10	25	of	of	ADP
ejpam-6166	10	26	cancer	cancer	NOUN
ejpam-6166	10	27	[	[	X
ejpam-6166	10	28	1	1	NUM
ejpam-6166	10	29	]	]	PUNCT
ejpam-6166	10	30	.	.	PUNCT
ejpam-6166	11	1	according	accord	VERB
ejpam-6166	11	2	to	to	ADP
ejpam-6166	11	3	studies	study	NOUN
ejpam-6166	11	4	done	do	VERB
ejpam-6166	11	5	by	by	ADP
ejpam-6166	11	6	the	the	DET
ejpam-6166	11	7	who	who	PRON
ejpam-6166	11	8	,	,	PUNCT
ejpam-6166	11	9	bc	bc	PROPN
ejpam-6166	11	10	was	be	AUX
ejpam-6166	11	11	classified	classify	VERB
ejpam-6166	11	12	as	as	ADP
ejpam-6166	11	13	the	the	DET
ejpam-6166	11	14	second	second	ADJ
ejpam-6166	11	15	most	most	ADV
ejpam-6166	11	16	widespread	widespread	ADJ
ejpam-6166	11	17	cancer	cancer	NOUN
ejpam-6166	11	18	in	in	ADP
ejpam-6166	11	19	2004	2004	NUM
ejpam-6166	11	20	,	,	PUNCT
ejpam-6166	11	21	posing	pose	VERB
ejpam-6166	11	22	a	a	DET
ejpam-6166	11	23	significant	significant	ADJ
ejpam-6166	11	24	threat	threat	NOUN
ejpam-6166	11	25	to	to	ADP
ejpam-6166	11	26	women	woman	NOUN
ejpam-6166	11	27	since	since	SCONJ
ejpam-6166	11	28	it	it	PRON
ejpam-6166	11	29	affects	affect	VERB
ejpam-6166	11	30	around	around	ADV
ejpam-6166	11	31	8	8	NUM
ejpam-6166	11	32	-	-	SYM
ejpam-6166	11	33	9	9	NUM
ejpam-6166	11	34	percent	percent	NOUN
ejpam-6166	11	35	of	of	ADP
ejpam-6166	11	36	the	the	DET
ejpam-6166	11	37	global	global	ADJ
ejpam-6166	11	38	female	female	ADJ
ejpam-6166	11	39	population	population	NOUN
ejpam-6166	12	1	[	[	X
ejpam-6166	12	2	2	2	NUM
ejpam-6166	12	3	]	]	PUNCT
ejpam-6166	12	4	.	.	PUNCT
ejpam-6166	13	1	notwithstanding	notwithstanding	ADP
ejpam-6166	13	2	extensive	extensive	ADJ
ejpam-6166	13	3	research	research	NOUN
ejpam-6166	13	4	and	and	CCONJ
ejpam-6166	13	5	numerous	numerous	ADJ
ejpam-6166	13	6	inquiries	inquiry	NOUN
ejpam-6166	13	7	,	,	PUNCT
ejpam-6166	13	8	the	the	DET
ejpam-6166	13	9	precise	precise	ADJ
ejpam-6166	13	10	etiology	etiology	NOUN
ejpam-6166	13	11	of	of	ADP
ejpam-6166	13	12	bc	bc	PROPN
ejpam-6166	13	13	remains	remain	VERB
ejpam-6166	13	14	ambiguous	ambiguous	ADJ
ejpam-6166	13	15	(	(	PUNCT
ejpam-6166	13	16	[	[	X
ejpam-6166	13	17	2	2	NUM
ejpam-6166	13	18	]	]	PUNCT
ejpam-6166	13	19	,	,	PUNCT
ejpam-6166	13	20	[	[	X
ejpam-6166	13	21	3	3	NUM
ejpam-6166	13	22	]	]	NUM
ejpam-6166	13	23	)	)	PUNCT
ejpam-6166	13	24	.	.	PUNCT
ejpam-6166	14	1	bc	bc	PROPN
ejpam-6166	14	2	is	be	AUX
ejpam-6166	14	3	a	a	DET
ejpam-6166	14	4	widespread	widespread	ADJ
ejpam-6166	14	5	malignancy	malignancy	NOUN
ejpam-6166	14	6	among	among	ADP
ejpam-6166	14	7	women	woman	NOUN
ejpam-6166	14	8	post	post	NOUN
ejpam-6166	14	9	-	-	NOUN
ejpam-6166	14	10	puberty	puberty	NOUN
ejpam-6166	14	11	,	,	PUNCT
ejpam-6166	14	12	with	with	ADP
ejpam-6166	14	13	its	its	PRON
ejpam-6166	14	14	prevalence	prevalence	NOUN
ejpam-6166	14	15	escalating	escalate	VERB
ejpam-6166	14	16	with	with	ADP
ejpam-6166	14	17	advancing	advance	VERB
ejpam-6166	14	18	age	age	NOUN
ejpam-6166	14	19	[	[	X
ejpam-6166	14	20	2	2	NUM
ejpam-6166	14	21	]	]	PUNCT
ejpam-6166	14	22	.	.	PUNCT
ejpam-6166	15	1	in	in	ADP
ejpam-6166	15	2	light	light	NOUN
ejpam-6166	15	3	of	of	ADP
ejpam-6166	15	4	the	the	DET
ejpam-6166	15	5	factors	factor	NOUN
ejpam-6166	15	6	above	above	ADV
ejpam-6166	15	7	,	,	PUNCT
ejpam-6166	15	8	we	we	PRON
ejpam-6166	15	9	underscore	underscore	VERB
ejpam-6166	15	10	the	the	DET
ejpam-6166	15	11	necessity	necessity	NOUN
ejpam-6166	15	12	for	for	ADP
ejpam-6166	15	13	a	a	DET
ejpam-6166	15	14	thorough	thorough	ADJ
ejpam-6166	15	15	comprehension	comprehension	NOUN
ejpam-6166	15	16	of	of	ADP
ejpam-6166	15	17	the	the	DET
ejpam-6166	15	18	epidemiology	epidemiology	NOUN
ejpam-6166	15	19	of	of	ADP
ejpam-6166	15	20	bc	bc	PROPN
ejpam-6166	15	21	and	and	CCONJ
ejpam-6166	15	22	its	its	PRON
ejpam-6166	15	23	implications	implication	NOUN
ejpam-6166	15	24	for	for	ADP
ejpam-6166	15	25	women	woman	NOUN
ejpam-6166	15	26	’s	’s	PART
ejpam-6166	15	27	health	health	NOUN
ejpam-6166	15	28	,	,	PUNCT
ejpam-6166	15	29	∗corresponding	∗corresponde	VERB
ejpam-6166	15	30	author	author	NOUN
ejpam-6166	15	31	.	.	PUNCT
ejpam-6166	16	1	doi	doi	NOUN
ejpam-6166	16	2	:	:	PUNCT
ejpam-6166	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6166	https://doi.org/10.29020/nybg.ejpam.v18i2.6166	ADP
ejpam-6166	16	4	email	email	NOUN
ejpam-6166	16	5	addresses	address	VERB
ejpam-6166	16	6	:	:	PUNCT
ejpam-6166	16	7	adel@sci.cu.edu.eg	adel@sci.cu.edu.eg	PROPN
ejpam-6166	16	8	(	(	PUNCT
ejpam-6166	16	9	m.	m.	PROPN
ejpam-6166	16	10	adel	adel	PROPN
ejpam-6166	16	11	)	)	PUNCT
ejpam-6166	16	12	,	,	PUNCT
ejpam-6166	16	13	mmkhader@imamu.edu.sa	mmkhader@imamu.edu.sa	PROPN
ejpam-6166	16	14	(	(	PUNCT
ejpam-6166	16	15	m.	m.	NOUN
ejpam-6166	16	16	m.	m.	NOUN
ejpam-6166	16	17	khader	khader	PROPN
ejpam-6166	16	18	)	)	PUNCT
ejpam-6166	16	19	,	,	PUNCT
ejpam-6166	16	20	mmessaoudi@imamu.edu.sa	mmessaoudi@imamu.edu.sa	NOUN
ejpam-6166	16	21	(	(	PUNCT
ejpam-6166	16	22	m.	m.	NOUN
ejpam-6166	16	23	messaoudi	messaoudi	PROPN
ejpam-6166	16	24	)	)	PUNCT
ejpam-6166	16	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6166	16	26	1	1	NUM
ejpam-6166	16	27	copyright	copyright	NOUN
ejpam-6166	16	28	:	:	PUNCT
ejpam-6166	17	1	©	©	PROPN
ejpam-6166	17	2	2025	2025	NUM
ejpam-6166	17	3	the	the	DET
ejpam-6166	17	4	author(s	author(s	NOUN
ejpam-6166	17	5	)	)	PUNCT
ejpam-6166	17	6	.	.	PUNCT
ejpam-6166	18	1	(	(	PUNCT
ejpam-6166	18	2	cc	cc	NOUN
ejpam-6166	18	3	by	by	ADP
ejpam-6166	18	4	-	-	PUNCT
ejpam-6166	18	5	nc	nc	PROPN
ejpam-6166	18	6	4.0	4.0	NUM
ejpam-6166	18	7	)	)	PUNCT
ejpam-6166	18	8	m.	m.	NOUN
ejpam-6166	18	9	adel	adel	PROPN
ejpam-6166	18	10	,	,	PUNCT
ejpam-6166	18	11	m.	m.	NOUN
ejpam-6166	18	12	m.	m.	NOUN
ejpam-6166	18	13	khader	khader	PROPN
ejpam-6166	18	14	,	,	PUNCT
ejpam-6166	18	15	m.	m.	NOUN
ejpam-6166	18	16	messaoudi	messaoudi	PROPN
ejpam-6166	18	17	/	/	SYM
ejpam-6166	18	18	eur	eur	PROPN
ejpam-6166	18	19	.	.	PUNCT
ejpam-6166	19	1	j.	j.	PROPN
ejpam-6166	19	2	pure	pure	PROPN
ejpam-6166	19	3	appl	appl	PROPN
ejpam-6166	19	4	.	.	PROPN
ejpam-6166	19	5	math	math	PROPN
ejpam-6166	19	6	,	,	PUNCT
ejpam-6166	19	7	18	18	NUM
ejpam-6166	19	8	(	(	PUNCT
ejpam-6166	19	9	2	2	NUM
ejpam-6166	19	10	)	)	PUNCT
ejpam-6166	19	11	(	(	PUNCT
ejpam-6166	19	12	2025	2025	NUM
ejpam-6166	19	13	)	)	PUNCT
ejpam-6166	19	14	,	,	PUNCT
ejpam-6166	19	15	6166	6166	NUM
ejpam-6166	19	16	2	2	NUM
ejpam-6166	19	17	of	of	ADP
ejpam-6166	19	18	16	16	NUM
ejpam-6166	19	19	since	since	SCONJ
ejpam-6166	19	20	this	this	DET
ejpam-6166	19	21	information	information	NOUN
ejpam-6166	19	22	is	be	AUX
ejpam-6166	19	23	critical	critical	ADJ
ejpam-6166	19	24	for	for	ADP
ejpam-6166	19	25	formulating	formulate	VERB
ejpam-6166	19	26	efficacious	efficacious	ADJ
ejpam-6166	19	27	precautionary	precautionary	ADJ
ejpam-6166	19	28	and	and	CCONJ
ejpam-6166	19	29	therapeutic	therapeutic	ADJ
ejpam-6166	19	30	strategies	strategy	NOUN
ejpam-6166	19	31	globally	globally	ADV
ejpam-6166	19	32	[	[	X
ejpam-6166	19	33	4	4	NUM
ejpam-6166	19	34	]	]	PUNCT
ejpam-6166	19	35	.	.	PUNCT
ejpam-6166	20	1	mathematical	mathematical	ADJ
ejpam-6166	20	2	modeling	modeling	NOUN
ejpam-6166	20	3	is	be	AUX
ejpam-6166	20	4	crucial	crucial	ADJ
ejpam-6166	20	5	for	for	ADP
ejpam-6166	20	6	comprehending	comprehend	VERB
ejpam-6166	20	7	and	and	CCONJ
ejpam-6166	20	8	investigating	investigate	VERB
ejpam-6166	20	9	cancer	cancer	NOUN
ejpam-6166	20	10	tumors	tumor	NOUN
ejpam-6166	20	11	broadly	broadly	ADV
ejpam-6166	20	12	,	,	PUNCT
ejpam-6166	20	13	with	with	ADP
ejpam-6166	20	14	a	a	DET
ejpam-6166	20	15	specific	specific	ADJ
ejpam-6166	20	16	emphasis	emphasis	NOUN
ejpam-6166	20	17	on	on	ADP
ejpam-6166	20	18	breast	breast	NOUN
ejpam-6166	20	19	cancer	cancer	NOUN
ejpam-6166	20	20	in	in	ADP
ejpam-6166	20	21	this	this	DET
ejpam-6166	20	22	research	research	NOUN
ejpam-6166	20	23	paper	paper	NOUN
ejpam-6166	20	24	.	.	PUNCT
ejpam-6166	21	1	it	it	PRON
ejpam-6166	21	2	serves	serve	VERB
ejpam-6166	21	3	to	to	PART
ejpam-6166	21	4	characterize	characterize	VERB
ejpam-6166	21	5	and	and	CCONJ
ejpam-6166	21	6	simulate	simulate	VERB
ejpam-6166	21	7	tumor	tumor	NOUN
ejpam-6166	21	8	growth	growth	NOUN
ejpam-6166	21	9	and	and	CCONJ
ejpam-6166	21	10	behavior	behavior	NOUN
ejpam-6166	21	11	,	,	PUNCT
ejpam-6166	21	12	as	as	ADV
ejpam-6166	21	13	well	well	ADV
ejpam-6166	21	14	as	as	ADP
ejpam-6166	21	15	their	their	PRON
ejpam-6166	21	16	interactions	interaction	NOUN
ejpam-6166	21	17	with	with	ADP
ejpam-6166	21	18	adjacent	adjacent	ADJ
ejpam-6166	21	19	tissues	tissue	NOUN
ejpam-6166	21	20	and	and	CCONJ
ejpam-6166	21	21	the	the	DET
ejpam-6166	21	22	immune	immune	ADJ
ejpam-6166	21	23	system	system	NOUN
ejpam-6166	21	24	(	(	PUNCT
ejpam-6166	21	25	[	[	X
ejpam-6166	21	26	5	5	NUM
ejpam-6166	21	27	]	]	PUNCT
ejpam-6166	21	28	,	,	PUNCT
ejpam-6166	21	29	[	[	X
ejpam-6166	21	30	6	6	NUM
ejpam-6166	21	31	]	]	NUM
ejpam-6166	21	32	)	)	PUNCT
ejpam-6166	21	33	.	.	PUNCT
ejpam-6166	22	1	researchers	researcher	NOUN
ejpam-6166	22	2	and	and	CCONJ
ejpam-6166	22	3	doctors	doctor	NOUN
ejpam-6166	22	4	can	can	AUX
ejpam-6166	22	5	use	use	VERB
ejpam-6166	22	6	these	these	DET
ejpam-6166	22	7	models	model	NOUN
ejpam-6166	22	8	to	to	PART
ejpam-6166	22	9	better	well	ADV
ejpam-6166	22	10	understand	understand	VERB
ejpam-6166	22	11	how	how	SCONJ
ejpam-6166	22	12	tumors	tumor	NOUN
ejpam-6166	22	13	grow	grow	VERB
ejpam-6166	22	14	,	,	PUNCT
ejpam-6166	22	15	predict	predict	VERB
ejpam-6166	22	16	how	how	SCONJ
ejpam-6166	22	17	treatments	treatment	NOUN
ejpam-6166	22	18	will	will	AUX
ejpam-6166	22	19	work	work	VERB
ejpam-6166	22	20	,	,	PUNCT
ejpam-6166	22	21	and	and	CCONJ
ejpam-6166	22	22	come	come	VERB
ejpam-6166	22	23	up	up	ADP
ejpam-6166	22	24	with	with	ADP
ejpam-6166	22	25	better	well	ADJ
ejpam-6166	22	26	ways	way	NOUN
ejpam-6166	22	27	to	to	PART
ejpam-6166	22	28	use	use	VERB
ejpam-6166	22	29	treatments	treatment	NOUN
ejpam-6166	22	30	(	(	PUNCT
ejpam-6166	22	31	[	[	X
ejpam-6166	22	32	7]-[9	7]-[9	X
ejpam-6166	22	33	]	]	PUNCT
ejpam-6166	22	34	)	)	PUNCT
ejpam-6166	22	35	.	.	PUNCT
ejpam-6166	23	1	for	for	ADP
ejpam-6166	23	2	a	a	DET
ejpam-6166	23	3	more	more	ADV
ejpam-6166	23	4	concentrated	concentrated	ADJ
ejpam-6166	23	5	examination	examination	NOUN
ejpam-6166	23	6	of	of	ADP
ejpam-6166	23	7	such	such	ADJ
ejpam-6166	23	8	systems	system	NOUN
ejpam-6166	23	9	,	,	PUNCT
ejpam-6166	23	10	including	include	VERB
ejpam-6166	23	11	their	their	PRON
ejpam-6166	23	12	applications	application	NOUN
ejpam-6166	23	13	and	and	CCONJ
ejpam-6166	23	14	properties	property	NOUN
ejpam-6166	23	15	,	,	PUNCT
ejpam-6166	23	16	see	see	VERB
ejpam-6166	23	17	(	(	PUNCT
ejpam-6166	23	18	[	[	X
ejpam-6166	23	19	10]-[13	10]-[13	X
ejpam-6166	23	20	]	]	X
ejpam-6166	23	21	)	)	PUNCT
ejpam-6166	23	22	.	.	PUNCT
ejpam-6166	24	1	due	due	ADP
ejpam-6166	24	2	to	to	ADP
ejpam-6166	24	3	the	the	DET
ejpam-6166	24	4	problems	problem	NOUN
ejpam-6166	24	5	of	of	ADP
ejpam-6166	24	6	accuracy	accuracy	NOUN
ejpam-6166	24	7	and	and	CCONJ
ejpam-6166	24	8	convergence	convergence	NOUN
ejpam-6166	24	9	faced	face	VERB
ejpam-6166	24	10	by	by	ADP
ejpam-6166	24	11	most	most	ADJ
ejpam-6166	24	12	numerical	numerical	ADJ
ejpam-6166	24	13	methods	method	NOUN
ejpam-6166	24	14	,	,	PUNCT
ejpam-6166	24	15	a	a	DET
ejpam-6166	24	16	large	large	ADJ
ejpam-6166	24	17	number	number	NOUN
ejpam-6166	24	18	of	of	ADP
ejpam-6166	24	19	researchers	researcher	NOUN
ejpam-6166	24	20	have	have	AUX
ejpam-6166	24	21	used	use	VERB
ejpam-6166	24	22	the	the	DET
ejpam-6166	24	23	semi	semi	ADJ
ejpam-6166	24	24	-	-	ADJ
ejpam-6166	24	25	analytical	analytical	ADJ
ejpam-6166	24	26	method	method	NOUN
ejpam-6166	24	27	(	(	PUNCT
ejpam-6166	24	28	sam	sam	PROPN
ejpam-6166	24	29	)	)	PUNCT
ejpam-6166	24	30	to	to	PART
ejpam-6166	24	31	investigate	investigate	VERB
ejpam-6166	24	32	such	such	ADJ
ejpam-6166	24	33	problems	problem	NOUN
ejpam-6166	24	34	and	and	CCONJ
ejpam-6166	24	35	gain	gain	VERB
ejpam-6166	24	36	deeper	deep	ADJ
ejpam-6166	24	37	insights	insight	NOUN
ejpam-6166	24	38	into	into	ADP
ejpam-6166	24	39	their	their	PRON
ejpam-6166	24	40	complexities	complexity	NOUN
ejpam-6166	24	41	.	.	PUNCT
ejpam-6166	25	1	the	the	DET
ejpam-6166	25	2	advantage	advantage	NOUN
ejpam-6166	25	3	of	of	ADP
ejpam-6166	25	4	the	the	DET
ejpam-6166	25	5	sam	sam	PROPN
ejpam-6166	25	6	as	as	ADP
ejpam-6166	25	7	the	the	DET
ejpam-6166	25	8	preferred	preferred	ADJ
ejpam-6166	25	9	method	method	NOUN
ejpam-6166	25	10	for	for	ADP
ejpam-6166	25	11	finding	find	VERB
ejpam-6166	25	12	analytical	analytical	ADJ
ejpam-6166	25	13	approximations	approximation	NOUN
ejpam-6166	25	14	to	to	ADP
ejpam-6166	25	15	complex	complex	ADJ
ejpam-6166	25	16	problems	problem	NOUN
ejpam-6166	25	17	contain	contain	VERB
ejpam-6166	25	18	highly	highly	ADV
ejpam-6166	25	19	nonlinear	nonlinear	ADJ
ejpam-6166	25	20	terms	term	NOUN
ejpam-6166	25	21	(	(	PUNCT
ejpam-6166	25	22	[	[	X
ejpam-6166	25	23	14	14	NUM
ejpam-6166	25	24	]	]	PUNCT
ejpam-6166	25	25	,	,	PUNCT
ejpam-6166	25	26	[	[	X
ejpam-6166	25	27	15	15	NUM
ejpam-6166	25	28	]	]	PUNCT
ejpam-6166	25	29	)	)	PUNCT
ejpam-6166	25	30	lies	lie	VERB
ejpam-6166	25	31	in	in	ADP
ejpam-6166	25	32	the	the	DET
ejpam-6166	25	33	challenges	challenge	NOUN
ejpam-6166	25	34	associated	associate	VERB
ejpam-6166	25	35	with	with	ADP
ejpam-6166	25	36	obtaining	obtain	VERB
ejpam-6166	25	37	exact	exact	ADJ
ejpam-6166	25	38	solutions	solution	NOUN
ejpam-6166	25	39	using	use	VERB
ejpam-6166	25	40	traditional	traditional	ADJ
ejpam-6166	25	41	analytical	analytical	ADJ
ejpam-6166	25	42	techniques	technique	NOUN
ejpam-6166	25	43	.	.	PUNCT
ejpam-6166	26	1	among	among	ADP
ejpam-6166	26	2	these	these	DET
ejpam-6166	26	3	methods	method	NOUN
ejpam-6166	26	4	,	,	PUNCT
ejpam-6166	26	5	which	which	PRON
ejpam-6166	26	6	have	have	AUX
ejpam-6166	26	7	attracted	attract	VERB
ejpam-6166	26	8	the	the	DET
ejpam-6166	26	9	attention	attention	NOUN
ejpam-6166	26	10	of	of	ADP
ejpam-6166	26	11	many	many	ADJ
ejpam-6166	26	12	scientists	scientist	NOUN
ejpam-6166	26	13	and	and	CCONJ
ejpam-6166	26	14	have	have	AUX
ejpam-6166	26	15	found	find	VERB
ejpam-6166	26	16	application	application	NOUN
ejpam-6166	26	17	in	in	ADP
ejpam-6166	26	18	solving	solve	VERB
ejpam-6166	26	19	a	a	DET
ejpam-6166	26	20	wide	wide	ADJ
ejpam-6166	26	21	range	range	NOUN
ejpam-6166	26	22	of	of	ADP
ejpam-6166	26	23	complex	complex	ADJ
ejpam-6166	26	24	problems	problem	NOUN
ejpam-6166	26	25	,	,	PUNCT
ejpam-6166	26	26	is	be	AUX
ejpam-6166	26	27	the	the	DET
ejpam-6166	26	28	hpm	hpm	NOUN
ejpam-6166	26	29	in	in	ADP
ejpam-6166	26	30	particular	particular	ADJ
ejpam-6166	26	31	.	.	PUNCT
ejpam-6166	27	1	an	an	DET
ejpam-6166	27	2	improved	improved	ADJ
ejpam-6166	27	3	version	version	NOUN
ejpam-6166	27	4	of	of	ADP
ejpam-6166	27	5	this	this	DET
ejpam-6166	27	6	method	method	NOUN
ejpam-6166	27	7	called	call	VERB
ejpam-6166	27	8	the	the	DET
ejpam-6166	27	9	new	new	ADJ
ejpam-6166	27	10	hpm	hpm	NOUN
ejpam-6166	27	11	,	,	PUNCT
ejpam-6166	27	12	was	be	AUX
ejpam-6166	27	13	presented	present	VERB
ejpam-6166	27	14	in	in	ADP
ejpam-6166	27	15	2010	2010	NUM
ejpam-6166	27	16	in	in	ADP
ejpam-6166	27	17	the	the	DET
ejpam-6166	27	18	research	research	NOUN
ejpam-6166	27	19	paper	paper	NOUN
ejpam-6166	28	1	[	[	X
ejpam-6166	28	2	16	16	NUM
ejpam-6166	28	3	]	]	PUNCT
ejpam-6166	28	4	and	and	CCONJ
ejpam-6166	28	5	was	be	AUX
ejpam-6166	28	6	then	then	ADV
ejpam-6166	28	7	applied	apply	VERB
ejpam-6166	28	8	to	to	PART
ejpam-6166	28	9	obtain	obtain	VERB
ejpam-6166	28	10	approximate	approximate	ADJ
ejpam-6166	28	11	solutions	solution	NOUN
ejpam-6166	28	12	to	to	ADP
ejpam-6166	28	13	the	the	DET
ejpam-6166	28	14	quadratic	quadratic	ADJ
ejpam-6166	28	15	rde	rde	PROPN
ejpam-6166	28	16	.	.	PUNCT
ejpam-6166	29	1	this	this	DET
ejpam-6166	29	2	approach	approach	NOUN
ejpam-6166	29	3	has	have	AUX
ejpam-6166	29	4	become	become	VERB
ejpam-6166	29	5	a	a	DET
ejpam-6166	29	6	popular	popular	ADJ
ejpam-6166	29	7	choice	choice	NOUN
ejpam-6166	29	8	in	in	ADP
ejpam-6166	29	9	many	many	ADJ
ejpam-6166	29	10	studies	study	NOUN
ejpam-6166	29	11	(	(	PUNCT
ejpam-6166	29	12	[	[	X
ejpam-6166	29	13	17	17	NUM
ejpam-6166	29	14	]	]	PUNCT
ejpam-6166	29	15	,	,	PUNCT
ejpam-6166	29	16	[	[	X
ejpam-6166	29	17	18	18	NUM
ejpam-6166	29	18	]	]	PUNCT
ejpam-6166	29	19	)	)	PUNCT
ejpam-6166	29	20	due	due	ADP
ejpam-6166	29	21	to	to	ADP
ejpam-6166	29	22	its	its	PRON
ejpam-6166	29	23	simplicity	simplicity	NOUN
ejpam-6166	29	24	and	and	CCONJ
ejpam-6166	29	25	ease	ease	NOUN
ejpam-6166	29	26	of	of	ADP
ejpam-6166	29	27	mathematical	mathematical	ADJ
ejpam-6166	29	28	calculation	calculation	NOUN
ejpam-6166	29	29	.	.	PUNCT
ejpam-6166	30	1	this	this	DET
ejpam-6166	30	2	distinction	distinction	NOUN
ejpam-6166	30	3	and	and	CCONJ
ejpam-6166	30	4	simplicity	simplicity	NOUN
ejpam-6166	30	5	can	can	AUX
ejpam-6166	30	6	be	be	AUX
ejpam-6166	30	7	achieved	achieve	VERB
ejpam-6166	30	8	by	by	ADP
ejpam-6166	30	9	defining	define	VERB
ejpam-6166	30	10	the	the	DET
ejpam-6166	30	11	first	first	ADJ
ejpam-6166	30	12	approximation	approximation	NOUN
ejpam-6166	30	13	as	as	ADP
ejpam-6166	30	14	a	a	DET
ejpam-6166	30	15	power	power	NOUN
ejpam-6166	30	16	series	series	NOUN
ejpam-6166	30	17	and	and	CCONJ
ejpam-6166	30	18	then	then	ADV
ejpam-6166	30	19	setting	set	VERB
ejpam-6166	30	20	all	all	DET
ejpam-6166	30	21	iterations	iteration	NOUN
ejpam-6166	30	22	to	to	ADP
ejpam-6166	30	23	zero	zero	NUM
ejpam-6166	30	24	except	except	SCONJ
ejpam-6166	30	25	for	for	ADP
ejpam-6166	30	26	the	the	DET
ejpam-6166	30	27	initial	initial	ADJ
ejpam-6166	30	28	iteration	iteration	NOUN
ejpam-6166	30	29	.	.	PUNCT
ejpam-6166	31	1	that	that	PRON
ejpam-6166	31	2	is	be	AUX
ejpam-6166	31	3	,	,	PUNCT
ejpam-6166	31	4	the	the	DET
ejpam-6166	31	5	power	power	NOUN
ejpam-6166	31	6	series	series	NOUN
ejpam-6166	31	7	takes	take	VERB
ejpam-6166	31	8	a	a	DET
ejpam-6166	31	9	central	central	ADJ
ejpam-6166	31	10	place	place	NOUN
ejpam-6166	31	11	in	in	ADP
ejpam-6166	31	12	the	the	DET
ejpam-6166	31	13	method	method	NOUN
ejpam-6166	31	14	,	,	PUNCT
ejpam-6166	31	15	which	which	PRON
ejpam-6166	31	16	in	in	ADP
ejpam-6166	31	17	turn	turn	NOUN
ejpam-6166	31	18	facilitates	facilitate	VERB
ejpam-6166	31	19	obtaining	obtain	VERB
ejpam-6166	31	20	approximate	approximate	ADJ
ejpam-6166	31	21	solutions	solution	NOUN
ejpam-6166	31	22	to	to	ADP
ejpam-6166	31	23	nonlinear	nonlinear	ADJ
ejpam-6166	31	24	equations	equation	NOUN
ejpam-6166	31	25	in	in	ADP
ejpam-6166	31	26	the	the	DET
ejpam-6166	31	27	form	form	NOUN
ejpam-6166	31	28	of	of	ADP
ejpam-6166	31	29	taylor	taylor	PROPN
ejpam-6166	31	30	expansion	expansion	NOUN
ejpam-6166	31	31	.	.	PUNCT
ejpam-6166	32	1	based	base	VERB
ejpam-6166	32	2	on	on	ADP
ejpam-6166	32	3	what	what	PRON
ejpam-6166	32	4	was	be	AUX
ejpam-6166	32	5	mentioned	mention	VERB
ejpam-6166	32	6	above	above	ADV
ejpam-6166	32	7	about	about	ADP
ejpam-6166	32	8	the	the	DET
ejpam-6166	32	9	importance	importance	NOUN
ejpam-6166	32	10	of	of	ADP
ejpam-6166	32	11	using	use	VERB
ejpam-6166	32	12	power	power	NOUN
ejpam-6166	32	13	series	series	NOUN
ejpam-6166	32	14	,	,	PUNCT
ejpam-6166	32	15	whether	whether	SCONJ
ejpam-6166	32	16	taylor	taylor	PROPN
ejpam-6166	32	17	expansion	expansion	NOUN
ejpam-6166	32	18	or	or	CCONJ
ejpam-6166	32	19	others	other	NOUN
ejpam-6166	32	20	,	,	PUNCT
ejpam-6166	32	21	and	and	CCONJ
ejpam-6166	32	22	in	in	ADP
ejpam-6166	32	23	being	be	AUX
ejpam-6166	32	24	more	more	ADV
ejpam-6166	32	25	effective	effective	ADJ
ejpam-6166	32	26	in	in	ADP
ejpam-6166	32	27	improving	improve	VERB
ejpam-6166	32	28	the	the	DET
ejpam-6166	32	29	accuracy	accuracy	NOUN
ejpam-6166	32	30	and	and	CCONJ
ejpam-6166	32	31	convergence	convergence	NOUN
ejpam-6166	32	32	of	of	ADP
ejpam-6166	32	33	analytical	analytical	ADJ
ejpam-6166	32	34	approximation	approximation	NOUN
ejpam-6166	32	35	solutions	solution	NOUN
ejpam-6166	32	36	,	,	PUNCT
ejpam-6166	32	37	the	the	DET
ejpam-6166	32	38	chebyshev	chebyshev	PROPN
ejpam-6166	32	39	series	series	NOUN
ejpam-6166	32	40	,	,	PUNCT
ejpam-6166	32	41	which	which	PRON
ejpam-6166	32	42	depends	depend	VERB
ejpam-6166	32	43	on	on	ADP
ejpam-6166	32	44	orthogonal	orthogonal	ADJ
ejpam-6166	32	45	chebyshev	chebyshev	NOUN
ejpam-6166	32	46	polynomials	polynomial	NOUN
ejpam-6166	32	47	,	,	PUNCT
ejpam-6166	32	48	were	be	AUX
ejpam-6166	32	49	used	use	VERB
ejpam-6166	32	50	to	to	PART
ejpam-6166	32	51	benefit	benefit	VERB
ejpam-6166	32	52	from	from	ADP
ejpam-6166	32	53	the	the	DET
ejpam-6166	32	54	properties	property	NOUN
ejpam-6166	32	55	of	of	ADP
ejpam-6166	32	56	these	these	DET
ejpam-6166	32	57	functions	function	NOUN
ejpam-6166	32	58	in	in	ADP
ejpam-6166	32	59	a	a	DET
ejpam-6166	32	60	good	good	ADJ
ejpam-6166	32	61	approximation	approximation	NOUN
ejpam-6166	32	62	of	of	ADP
ejpam-6166	32	63	functions	function	NOUN
ejpam-6166	32	64	,	,	PUNCT
ejpam-6166	32	65	as	as	ADV
ejpam-6166	32	66	well	well	ADV
ejpam-6166	32	67	as	as	ADP
ejpam-6166	32	68	their	their	PRON
ejpam-6166	32	69	distinction	distinction	NOUN
ejpam-6166	32	70	in	in	ADP
ejpam-6166	32	71	the	the	DET
ejpam-6166	32	72	faster	fast	ADJ
ejpam-6166	32	73	convergence	convergence	NOUN
ejpam-6166	32	74	rate	rate	NOUN
ejpam-6166	32	75	than	than	ADP
ejpam-6166	32	76	other	other	ADJ
ejpam-6166	32	77	functions	function	NOUN
ejpam-6166	32	78	such	such	ADJ
ejpam-6166	32	79	as	as	ADP
ejpam-6166	32	80	taylor	taylor	PROPN
ejpam-6166	32	81	series	series	PROPN
ejpam-6166	32	82	,	,	PUNCT
ejpam-6166	32	83	for	for	ADP
ejpam-6166	32	84	example	example	NOUN
ejpam-6166	32	85	,	,	PUNCT
ejpam-6166	32	86	but	but	CCONJ
ejpam-6166	32	87	not	not	PART
ejpam-6166	32	88	limited	limit	VERB
ejpam-6166	32	89	to	to	ADP
ejpam-6166	32	90	[	[	X
ejpam-6166	32	91	19	19	NUM
ejpam-6166	32	92	]	]	PUNCT
ejpam-6166	32	93	.	.	PUNCT
ejpam-6166	33	1	due	due	ADP
ejpam-6166	33	2	to	to	ADP
ejpam-6166	33	3	these	these	DET
ejpam-6166	33	4	important	important	ADJ
ejpam-6166	33	5	properties	property	NOUN
ejpam-6166	33	6	of	of	ADP
ejpam-6166	33	7	handling	handle	VERB
ejpam-6166	33	8	nonlinear	nonlinear	ADJ
ejpam-6166	33	9	equations	equation	NOUN
ejpam-6166	33	10	and	and	CCONJ
ejpam-6166	33	11	providing	provide	VERB
ejpam-6166	33	12	very	very	ADV
ejpam-6166	33	13	accurate	accurate	ADJ
ejpam-6166	33	14	approximations	approximation	NOUN
ejpam-6166	33	15	,	,	PUNCT
ejpam-6166	33	16	the	the	DET
ejpam-6166	33	17	transformed	transform	VERB
ejpam-6166	33	18	chebyshev	chebyshev	PROPN
ejpam-6166	33	19	series	series	NOUN
ejpam-6166	33	20	has	have	AUX
ejpam-6166	33	21	been	be	AUX
ejpam-6166	33	22	widely	widely	ADV
ejpam-6166	33	23	applied	apply	VERB
ejpam-6166	33	24	in	in	ADP
ejpam-6166	33	25	many	many	ADJ
ejpam-6166	33	26	academic	academic	ADJ
ejpam-6166	33	27	studies	study	NOUN
ejpam-6166	33	28	,	,	PUNCT
ejpam-6166	33	29	we	we	PRON
ejpam-6166	33	30	mention	mention	VERB
ejpam-6166	33	31	,	,	PUNCT
ejpam-6166	33	32	for	for	ADP
ejpam-6166	33	33	example	example	NOUN
ejpam-6166	33	34	,	,	PUNCT
ejpam-6166	33	35	but	but	CCONJ
ejpam-6166	33	36	not	not	PART
ejpam-6166	33	37	limited	limit	VERB
ejpam-6166	33	38	to	to	PART
ejpam-6166	33	39	point	point	VERB
ejpam-6166	33	40	equations	equation	NOUN
ejpam-6166	33	41	of	of	ADP
ejpam-6166	33	42	motion	motion	NOUN
ejpam-6166	33	43	in	in	ADP
ejpam-6166	33	44	their	their	PRON
ejpam-6166	33	45	linear	linear	ADJ
ejpam-6166	33	46	/	/	SYM
ejpam-6166	33	47	nonlinear	nonlinear	ADJ
ejpam-6166	33	48	form	form	NOUN
ejpam-6166	33	49	[	[	X
ejpam-6166	33	50	20	20	NUM
ejpam-6166	33	51	]	]	PUNCT
ejpam-6166	33	52	,	,	PUNCT
ejpam-6166	33	53	cauchy	cauchy	NOUN
ejpam-6166	33	54	problems	problem	NOUN
ejpam-6166	33	55	which	which	PRON
ejpam-6166	33	56	are	be	AUX
ejpam-6166	33	57	represented	represent	VERB
ejpam-6166	33	58	by	by	ADP
ejpam-6166	33	59	second	second	ADJ
ejpam-6166	33	60	-	-	PUNCT
ejpam-6166	33	61	order	order	NOUN
ejpam-6166	33	62	ordinary	ordinary	ADJ
ejpam-6166	33	63	differential	differential	ADJ
ejpam-6166	33	64	equations	equation	NOUN
ejpam-6166	34	1	[	[	X
ejpam-6166	34	2	21	21	NUM
ejpam-6166	34	3	]	]	PUNCT
ejpam-6166	34	4	,	,	PUNCT
ejpam-6166	34	5	nonlinear	nonlinear	ADJ
ejpam-6166	34	6	integro	integro	ADJ
ejpam-6166	34	7	-	-	PUNCT
ejpam-6166	34	8	differential	differential	NOUN
ejpam-6166	34	9	equations	equation	NOUN
ejpam-6166	34	10	of	of	ADP
ejpam-6166	34	11	fractional	fractional	ADJ
ejpam-6166	34	12	order	order	NOUN
ejpam-6166	34	13	[	[	X
ejpam-6166	34	14	22	22	NUM
ejpam-6166	34	15	]	]	PUNCT
ejpam-6166	34	16	,	,	PUNCT
ejpam-6166	34	17	space	space	NOUN
ejpam-6166	34	18	-	-	PUNCT
ejpam-6166	34	19	variable	variable	NOUN
ejpam-6166	34	20	approximation	approximation	NOUN
ejpam-6166	34	21	of	of	ADP
ejpam-6166	34	22	the	the	DET
ejpam-6166	34	23	burger	burger	NOUN
ejpam-6166	34	24	equation	equation	NOUN
ejpam-6166	34	25	[	[	X
ejpam-6166	34	26	23	23	NUM
ejpam-6166	34	27	]	]	PUNCT
ejpam-6166	34	28	,	,	PUNCT
ejpam-6166	34	29	the	the	DET
ejpam-6166	34	30	initial	initial	ADJ
ejpam-6166	34	31	and	and	CCONJ
ejpam-6166	34	32	bvps	bvps	NOUN
ejpam-6166	34	33	associated	associate	VERB
ejpam-6166	34	34	with	with	ADP
ejpam-6166	34	35	the	the	DET
ejpam-6166	34	36	fractional	fractional	ADJ
ejpam-6166	34	37	heat	heat	NOUN
ejpam-6166	34	38	equation	equation	NOUN
ejpam-6166	34	39	[	[	X
ejpam-6166	34	40	24	24	NUM
ejpam-6166	34	41	]	]	PUNCT
ejpam-6166	34	42	.	.	PUNCT
ejpam-6166	35	1	the	the	DET
ejpam-6166	35	2	present	present	ADJ
ejpam-6166	35	3	research	research	NOUN
ejpam-6166	35	4	focuses	focus	VERB
ejpam-6166	35	5	on	on	ADP
ejpam-6166	35	6	developing	develop	VERB
ejpam-6166	35	7	semi	semi	ADJ
ejpam-6166	35	8	-	-	ADJ
ejpam-6166	35	9	analytical	analytical	ADJ
ejpam-6166	35	10	methods	method	NOUN
ejpam-6166	35	11	to	to	PART
ejpam-6166	35	12	overcome	overcome	VERB
ejpam-6166	35	13	the	the	DET
ejpam-6166	35	14	challenges	challenge	NOUN
ejpam-6166	35	15	inherent	inherent	ADJ
ejpam-6166	35	16	in	in	ADP
ejpam-6166	35	17	these	these	DET
ejpam-6166	35	18	methods	method	NOUN
ejpam-6166	35	19	,	,	PUNCT
ejpam-6166	35	20	taking	take	VERB
ejpam-6166	35	21	advantage	advantage	NOUN
ejpam-6166	35	22	of	of	ADP
ejpam-6166	35	23	the	the	DET
ejpam-6166	35	24	pivotal	pivotal	ADJ
ejpam-6166	35	25	role	role	NOUN
ejpam-6166	35	26	played	play	VERB
ejpam-6166	35	27	by	by	ADP
ejpam-6166	35	28	the	the	DET
ejpam-6166	35	29	chebyshev	chebyshev	PROPN
ejpam-6166	35	30	series	series	NOUN
ejpam-6166	35	31	,	,	PUNCT
ejpam-6166	35	32	as	as	SCONJ
ejpam-6166	35	33	shown	show	VERB
ejpam-6166	35	34	in	in	ADP
ejpam-6166	35	35	the	the	DET
ejpam-6166	35	36	historical	historical	ADJ
ejpam-6166	35	37	context	context	NOUN
ejpam-6166	35	38	mentioned	mention	VERB
ejpam-6166	35	39	above	above	ADV
ejpam-6166	35	40	,	,	PUNCT
ejpam-6166	35	41	as	as	ADV
ejpam-6166	35	42	well	well	ADV
ejpam-6166	35	43	as	as	ADP
ejpam-6166	35	44	addressing	address	VERB
ejpam-6166	35	45	the	the	DET
ejpam-6166	35	46	time	time	NOUN
ejpam-6166	35	47	-	-	PUNCT
ejpam-6166	35	48	consuming	consume	VERB
ejpam-6166	35	49	nature	nature	NOUN
ejpam-6166	35	50	of	of	ADP
ejpam-6166	35	51	numerical	numerical	ADJ
ejpam-6166	35	52	methods	method	NOUN
ejpam-6166	35	53	,	,	PUNCT
ejpam-6166	35	54	mitigating	mitigate	VERB
ejpam-6166	35	55	these	these	DET
ejpam-6166	35	56	challenges	challenge	NOUN
ejpam-6166	35	57	.	.	PUNCT
ejpam-6166	36	1	the	the	DET
ejpam-6166	36	2	major	major	ADJ
ejpam-6166	36	3	objective	objective	NOUN
ejpam-6166	36	4	of	of	ADP
ejpam-6166	36	5	this	this	DET
ejpam-6166	36	6	manuscript	manuscript	NOUN
ejpam-6166	36	7	is	be	AUX
ejpam-6166	36	8	to	to	PART
ejpam-6166	36	9	apply	apply	VERB
ejpam-6166	36	10	the	the	DET
ejpam-6166	36	11	chpm	chpm	NOUN
ejpam-6166	36	12	by	by	ADP
ejpam-6166	36	13	combining	combine	VERB
ejpam-6166	36	14	the	the	DET
ejpam-6166	36	15	efm	efm	PROPN
ejpam-6166	36	16	.	.	PUNCT
ejpam-6166	37	1	adel	adel	PROPN
ejpam-6166	37	2	,	,	PUNCT
ejpam-6166	37	3	m.	m.	NOUN
ejpam-6166	37	4	m.	m.	NOUN
ejpam-6166	37	5	khader	khader	PROPN
ejpam-6166	37	6	,	,	PUNCT
ejpam-6166	37	7	m.	m.	NOUN
ejpam-6166	37	8	messaoudi	messaoudi	PROPN
ejpam-6166	37	9	/	/	SYM
ejpam-6166	37	10	eur	eur	PROPN
ejpam-6166	37	11	.	.	PUNCT
ejpam-6166	38	1	j.	j.	PROPN
ejpam-6166	38	2	pure	pure	PROPN
ejpam-6166	38	3	appl	appl	PROPN
ejpam-6166	38	4	.	.	PROPN
ejpam-6166	38	5	math	math	PROPN
ejpam-6166	38	6	,	,	PUNCT
ejpam-6166	38	7	18	18	NUM
ejpam-6166	38	8	(	(	PUNCT
ejpam-6166	38	9	2	2	NUM
ejpam-6166	38	10	)	)	PUNCT
ejpam-6166	38	11	(	(	PUNCT
ejpam-6166	38	12	2025	2025	NUM
ejpam-6166	38	13	)	)	PUNCT
ejpam-6166	38	14	,	,	PUNCT
ejpam-6166	38	15	6166	6166	NUM
ejpam-6166	38	16	3	3	NUM
ejpam-6166	38	17	of	of	ADP
ejpam-6166	38	18	16	16	NUM
ejpam-6166	38	19	fective	fective	ADJ
ejpam-6166	38	20	chebyshev	chebyshev	PROPN
ejpam-6166	38	21	series	series	NOUN
ejpam-6166	38	22	(	(	PUNCT
ejpam-6166	38	23	cs	cs	PROPN
ejpam-6166	38	24	)	)	PUNCT
ejpam-6166	38	25	with	with	ADP
ejpam-6166	38	26	the	the	DET
ejpam-6166	38	27	new	new	ADJ
ejpam-6166	38	28	homotopy	homotopy	NOUN
ejpam-6166	38	29	perturbation	perturbation	NOUN
ejpam-6166	38	30	approach	approach	NOUN
ejpam-6166	38	31	,	,	PUNCT
ejpam-6166	38	32	to	to	PART
ejpam-6166	38	33	use	use	VERB
ejpam-6166	38	34	a	a	DET
ejpam-6166	38	35	new	new	ADJ
ejpam-6166	38	36	,	,	PUNCT
ejpam-6166	38	37	accurate	accurate	ADJ
ejpam-6166	38	38	,	,	PUNCT
ejpam-6166	38	39	and	and	CCONJ
ejpam-6166	38	40	efficient	efficient	ADJ
ejpam-6166	38	41	analytical	analytical	ADJ
ejpam-6166	38	42	approximation	approximation	NOUN
ejpam-6166	38	43	approach	approach	NOUN
ejpam-6166	38	44	used	use	VERB
ejpam-6166	38	45	for	for	ADP
ejpam-6166	38	46	the	the	DET
ejpam-6166	38	47	first	first	ADJ
ejpam-6166	38	48	time	time	NOUN
ejpam-6166	38	49	to	to	PART
ejpam-6166	38	50	address	address	VERB
ejpam-6166	38	51	the	the	DET
ejpam-6166	38	52	present	present	ADJ
ejpam-6166	38	53	problem	problem	NOUN
ejpam-6166	38	54	.	.	PUNCT
ejpam-6166	39	1	this	this	DET
ejpam-6166	39	2	new	new	ADJ
ejpam-6166	39	3	method	method	NOUN
ejpam-6166	39	4	was	be	AUX
ejpam-6166	39	5	compared	compare	VERB
ejpam-6166	39	6	with	with	ADP
ejpam-6166	39	7	some	some	DET
ejpam-6166	39	8	existing	exist	VERB
ejpam-6166	39	9	methods	method	NOUN
ejpam-6166	39	10	to	to	PART
ejpam-6166	39	11	confirm	confirm	VERB
ejpam-6166	39	12	its	its	PRON
ejpam-6166	39	13	efficiency	efficiency	NOUN
ejpam-6166	39	14	and	and	CCONJ
ejpam-6166	39	15	high	high	ADJ
ejpam-6166	39	16	accuracy	accuracy	NOUN
ejpam-6166	39	17	,	,	PUNCT
ejpam-6166	39	18	and	and	CCONJ
ejpam-6166	39	19	perfect	perfect	ADJ
ejpam-6166	39	20	agreement	agreement	NOUN
ejpam-6166	39	21	was	be	AUX
ejpam-6166	39	22	obtained	obtain	VERB
ejpam-6166	39	23	.	.	PUNCT
ejpam-6166	40	1	the	the	DET
ejpam-6166	40	2	paper	paper	NOUN
ejpam-6166	40	3	is	be	AUX
ejpam-6166	40	4	organized	organize	VERB
ejpam-6166	40	5	as	as	SCONJ
ejpam-6166	40	6	follows	follow	VERB
ejpam-6166	40	7	:	:	PUNCT
ejpam-6166	40	8	in	in	ADP
ejpam-6166	40	9	section	section	NOUN
ejpam-6166	40	10	2	2	NUM
ejpam-6166	40	11	,	,	PUNCT
ejpam-6166	40	12	we	we	PRON
ejpam-6166	40	13	give	give	VERB
ejpam-6166	40	14	the	the	DET
ejpam-6166	40	15	formulation	formulation	NOUN
ejpam-6166	40	16	of	of	ADP
ejpam-6166	40	17	the	the	DET
ejpam-6166	40	18	proposed	propose	VERB
ejpam-6166	40	19	model	model	NOUN
ejpam-6166	40	20	.	.	PUNCT
ejpam-6166	41	1	section	section	NOUN
ejpam-6166	41	2	3	3	NUM
ejpam-6166	41	3	presents	present	VERB
ejpam-6166	41	4	the	the	DET
ejpam-6166	41	5	procedure	procedure	NOUN
ejpam-6166	41	6	solution	solution	NOUN
ejpam-6166	41	7	by	by	ADP
ejpam-6166	41	8	giving	give	VERB
ejpam-6166	41	9	the	the	DET
ejpam-6166	41	10	basic	basic	ADJ
ejpam-6166	41	11	concepts	concept	NOUN
ejpam-6166	41	12	of	of	ADP
ejpam-6166	41	13	the	the	DET
ejpam-6166	41	14	chebyshev	chebyshev	NOUN
ejpam-6166	41	15	-	-	PUNCT
ejpam-6166	41	16	hpm	hpm	NOUN
ejpam-6166	41	17	.	.	PUNCT
ejpam-6166	42	1	section	section	NOUN
ejpam-6166	42	2	4	4	NUM
ejpam-6166	42	3	gives	give	VERB
ejpam-6166	42	4	the	the	DET
ejpam-6166	42	5	numerical	numerical	ADJ
ejpam-6166	42	6	implementation	implementation	NOUN
ejpam-6166	42	7	of	of	ADP
ejpam-6166	42	8	the	the	DET
ejpam-6166	42	9	proposed	propose	VERB
ejpam-6166	42	10	technique	technique	NOUN
ejpam-6166	42	11	.	.	PUNCT
ejpam-6166	43	1	section	section	NOUN
ejpam-6166	43	2	5	5	NUM
ejpam-6166	43	3	introduces	introduce	VERB
ejpam-6166	43	4	the	the	DET
ejpam-6166	43	5	numerical	numerical	ADJ
ejpam-6166	43	6	simulation	simulation	NOUN
ejpam-6166	43	7	of	of	ADP
ejpam-6166	43	8	the	the	DET
ejpam-6166	43	9	proposed	propose	VERB
ejpam-6166	43	10	model	model	NOUN
ejpam-6166	43	11	.	.	PUNCT
ejpam-6166	44	1	finally	finally	ADV
ejpam-6166	44	2	,	,	PUNCT
ejpam-6166	44	3	section	section	NOUN
ejpam-6166	44	4	5	5	NUM
ejpam-6166	44	5	gives	give	VERB
ejpam-6166	44	6	the	the	DET
ejpam-6166	44	7	conclusions	conclusion	NOUN
ejpam-6166	44	8	and	and	CCONJ
ejpam-6166	44	9	remarks	remark	NOUN
ejpam-6166	44	10	.	.	PUNCT
ejpam-6166	45	1	2	2	X
ejpam-6166	45	2	.	.	X
ejpam-6166	45	3	mathematical	mathematical	ADJ
ejpam-6166	45	4	model	model	NOUN
ejpam-6166	45	5	of	of	ADP
ejpam-6166	45	6	bc	bc	PROPN
ejpam-6166	45	7	the	the	DET
ejpam-6166	45	8	mathematical	mathematical	ADJ
ejpam-6166	45	9	modeling	modeling	NOUN
ejpam-6166	45	10	of	of	ADP
ejpam-6166	45	11	biological	biological	ADJ
ejpam-6166	45	12	events	event	NOUN
ejpam-6166	45	13	,	,	PUNCT
ejpam-6166	45	14	such	such	ADJ
ejpam-6166	45	15	as	as	ADP
ejpam-6166	45	16	bc	bc	PROPN
ejpam-6166	45	17	,	,	PUNCT
ejpam-6166	45	18	is	be	AUX
ejpam-6166	45	19	a	a	DET
ejpam-6166	45	20	key	key	ADJ
ejpam-6166	45	21	tool	tool	NOUN
ejpam-6166	45	22	for	for	ADP
ejpam-6166	45	23	understanding	understand	VERB
ejpam-6166	45	24	how	how	SCONJ
ejpam-6166	45	25	tumors	tumor	NOUN
ejpam-6166	45	26	change	change	VERB
ejpam-6166	45	27	during	during	ADP
ejpam-6166	45	28	treatment	treatment	NOUN
ejpam-6166	45	29	and	and	CCONJ
ejpam-6166	45	30	for	for	ADP
ejpam-6166	45	31	dealing	deal	VERB
ejpam-6166	45	32	with	with	ADP
ejpam-6166	45	33	epidemiological	epidemiological	ADJ
ejpam-6166	45	34	issues	issue	NOUN
ejpam-6166	45	35	.	.	PUNCT
ejpam-6166	46	1	this	this	PRON
ejpam-6166	46	2	is	be	AUX
ejpam-6166	46	3	evident	evident	ADJ
ejpam-6166	46	4	from	from	ADP
ejpam-6166	46	5	the	the	DET
ejpam-6166	46	6	studies	study	NOUN
ejpam-6166	46	7	conducted	conduct	VERB
ejpam-6166	46	8	before	before	ADV
ejpam-6166	46	9	(	(	PUNCT
ejpam-6166	46	10	[	[	X
ejpam-6166	46	11	25]-[27	25]-[27	PROPN
ejpam-6166	46	12	]	]	PUNCT
ejpam-6166	46	13	)	)	PUNCT
ejpam-6166	46	14	.	.	PUNCT
ejpam-6166	47	1	we	we	PRON
ejpam-6166	47	2	investigate	investigate	VERB
ejpam-6166	47	3	this	this	DET
ejpam-6166	47	4	specific	specific	ADJ
ejpam-6166	47	5	model	model	NOUN
ejpam-6166	47	6	of	of	ADP
ejpam-6166	47	7	the	the	DET
ejpam-6166	47	8	bc	bc	PROPN
ejpam-6166	47	9	(	(	PUNCT
ejpam-6166	47	10	[	[	X
ejpam-6166	47	11	28	28	NUM
ejpam-6166	47	12	]	]	PUNCT
ejpam-6166	47	13	,	,	PUNCT
ejpam-6166	47	14	[	[	X
ejpam-6166	47	15	29	29	NUM
ejpam-6166	47	16	]	]	PUNCT
ejpam-6166	47	17	):	):	PUNCT
ejpam-6166	47	18	ψ̇1(t	ψ̇1(t	NOUN
ejpam-6166	47	19	)	)	PUNCT
ejpam-6166	47	20	=	=	PRON
ejpam-6166	47	21	ψ1(t)λ1	ψ1(t)λ1	NUM
ejpam-6166	47	22	(	(	PUNCT
ejpam-6166	47	23	p1	p1	NOUN
ejpam-6166	47	24	−	−	PROPN
ejpam-6166	47	25	β1ψ1(t)−	β1ψ1(t)−	PROPN
ejpam-6166	47	26	α1	α1	PROPN
ejpam-6166	47	27	ψ2(t))−	ψ2(t))−	NUM
ejpam-6166	47	28	(	(	PUNCT
ejpam-6166	47	29	1−	1−	NUM
ejpam-6166	47	30	p)θ1	p)θ1	PROPN
ejpam-6166	47	31	ψ1(t)ψ4(t	ψ1(t)ψ4(t	NOUN
ejpam-6166	47	32	)	)	PUNCT
ejpam-6166	47	33	,	,	PUNCT
ejpam-6166	47	34	ψ1(0	ψ1(0	PROPN
ejpam-6166	47	35	)	)	PUNCT
ejpam-6166	47	36	=	=	PUNCT
ejpam-6166	48	1	ψ̂0	ψ̂0	PROPN
ejpam-6166	48	2	1	1	NUM
ejpam-6166	48	3	,	,	PUNCT
ejpam-6166	48	4	ψ̇2(t	ψ̇2(t	PROPN
ejpam-6166	48	5	)	)	PUNCT
ejpam-6166	48	6	=	=	PUNCT
ejpam-6166	49	1	ψ2(t)λ2(p2d−	ψ2(t)λ2(p2d−	ADP
ejpam-6166	49	2	β2ψ2(t)−	β2ψ2(t)−	X
ejpam-6166	49	3	α2ψ3(t))−	α2ψ3(t))−	PROPN
ejpam-6166	49	4	κψ2(t	κψ2(t	NOUN
ejpam-6166	49	5	)	)	PUNCT
ejpam-6166	50	1	+	+	CCONJ
ejpam-6166	50	2	(	(	PUNCT
ejpam-6166	50	3	1−	1−	NUM
ejpam-6166	50	4	p)θ1ψ1(t)ψ2(t)ψ4(t	p)θ1ψ1(t)ψ2(t)ψ4(t	ADJ
ejpam-6166	50	5	)	)	PUNCT
ejpam-6166	50	6	,	,	PUNCT
ejpam-6166	50	7	ψ2(0	ψ2(0	NOUN
ejpam-6166	50	8	)	)	PUNCT
ejpam-6166	50	9	=	=	PUNCT
ejpam-6166	51	1	ψ̂0	ψ̂0	PROPN
ejpam-6166	51	2	2	2	NUM
ejpam-6166	51	3	,	,	PUNCT
ejpam-6166	51	4	ψ̇3(t	ψ̇3(t	X
ejpam-6166	51	5	)	)	PUNCT
ejpam-6166	51	6	=	=	PUNCT
ejpam-6166	52	1	σρ+	σρ+	PROPN
ejpam-6166	52	2	ψ3(t)λ1(p3	ψ3(t)λ1(p3	PROPN
ejpam-6166	52	3	−	−	PROPN
ejpam-6166	52	4	β3	β3	VERB
ejpam-6166	52	5	−	−	PROPN
ejpam-6166	52	6	α3ψ2(t))−	α3ψ2(t))−	NUM
ejpam-6166	52	7	(	(	PUNCT
ejpam-6166	52	8	1−	1−	NUM
ejpam-6166	52	9	p)θ2ψ3(t)ψ4(t	p)θ2ψ3(t)ψ4(t	NOUN
ejpam-6166	52	10	)	)	PUNCT
ejpam-6166	52	11	,	,	PUNCT
ejpam-6166	52	12	ψ3(0	ψ3(0	PROPN
ejpam-6166	52	13	)	)	PUNCT
ejpam-6166	52	14	=	=	SYM
ejpam-6166	53	1	ψ̂0	ψ̂0	PROPN
ejpam-6166	53	2	3	3	NUM
ejpam-6166	53	3	,	,	PUNCT
ejpam-6166	53	4	ψ̇4(t	ψ̇4(t	NOUN
ejpam-6166	53	5	)	)	PUNCT
ejpam-6166	53	6	=	=	SYM
ejpam-6166	53	7	α4ψ4(t	α4ψ4(t	X
ejpam-6166	53	8	)	)	PUNCT
ejpam-6166	53	9	+	+	CCONJ
ejpam-6166	53	10	ϱ(1−	ϱ(1−	PROPN
ejpam-6166	53	11	p	p	X
ejpam-6166	53	12	)	)	PUNCT
ejpam-6166	53	13	,	,	PUNCT
ejpam-6166	53	14	ψ4(0	ψ4(0	NOUN
ejpam-6166	53	15	)	)	PUNCT
ejpam-6166	53	16	=	=	SYM
ejpam-6166	53	17	ψ̂0	ψ̂0	PROPN
ejpam-6166	54	1	4	4	X
ejpam-6166	54	2	.	.	PUNCT
ejpam-6166	54	3	(	(	PUNCT
ejpam-6166	54	4	1	1	X
ejpam-6166	54	5	)	)	PUNCT
ejpam-6166	54	6	this	this	DET
ejpam-6166	54	7	section	section	NOUN
ejpam-6166	54	8	will	will	AUX
ejpam-6166	54	9	explain	explain	VERB
ejpam-6166	54	10	what	what	PRON
ejpam-6166	54	11	the	the	DET
ejpam-6166	54	12	parameters	parameter	NOUN
ejpam-6166	54	13	(	(	PUNCT
ejpam-6166	54	14	∈	∈	PROPN
ejpam-6166	54	15	r+	r+	NOUN
ejpam-6166	54	16	)	)	PUNCT
ejpam-6166	54	17	of	of	ADP
ejpam-6166	54	18	the	the	DET
ejpam-6166	54	19	model	model	NOUN
ejpam-6166	54	20	(	(	PUNCT
ejpam-6166	54	21	1	1	X
ejpam-6166	54	22	)	)	PUNCT
ejpam-6166	54	23	mean	mean	NOUN
ejpam-6166	54	24	in	in	ADP
ejpam-6166	54	25	more	more	ADJ
ejpam-6166	54	26	detail	detail	NOUN
ejpam-6166	54	27	(	(	PUNCT
ejpam-6166	54	28	[	[	X
ejpam-6166	54	29	26	26	NUM
ejpam-6166	54	30	]	]	PUNCT
ejpam-6166	54	31	,	,	PUNCT
ejpam-6166	54	32	[	[	X
ejpam-6166	54	33	30	30	NUM
ejpam-6166	54	34	]	]	NUM
ejpam-6166	54	35	)	)	PUNCT
ejpam-6166	54	36	.	.	PUNCT
ejpam-6166	55	1	the	the	DET
ejpam-6166	55	2	stability	stability	NOUN
ejpam-6166	55	3	and	and	CCONJ
ejpam-6166	55	4	convergence	convergence	NOUN
ejpam-6166	55	5	analysis	analysis	NOUN
ejpam-6166	55	6	of	of	ADP
ejpam-6166	55	7	the	the	DET
ejpam-6166	55	8	model	model	NOUN
ejpam-6166	55	9	in	in	ADP
ejpam-6166	55	10	question	question	NOUN
ejpam-6166	55	11	are	be	AUX
ejpam-6166	55	12	thoroughly	thoroughly	ADV
ejpam-6166	55	13	detailed	detailed	ADJ
ejpam-6166	55	14	in	in	ADP
ejpam-6166	55	15	[	[	X
ejpam-6166	55	16	29	29	NUM
ejpam-6166	55	17	]	]	PUNCT
ejpam-6166	55	18	.	.	PUNCT
ejpam-6166	56	1	3	3	X
ejpam-6166	56	2	.	.	X
ejpam-6166	56	3	basic	basic	ADJ
ejpam-6166	56	4	concepts	concept	NOUN
ejpam-6166	56	5	of	of	ADP
ejpam-6166	56	6	the	the	DET
ejpam-6166	56	7	chpm	chpm	NOUN
ejpam-6166	56	8	the	the	DET
ejpam-6166	56	9	novel	novel	ADJ
ejpam-6166	56	10	approach	approach	NOUN
ejpam-6166	56	11	mainly	mainly	ADV
ejpam-6166	56	12	depends	depend	VERB
ejpam-6166	56	13	on	on	ADP
ejpam-6166	56	14	the	the	DET
ejpam-6166	56	15	use	use	NOUN
ejpam-6166	56	16	of	of	ADP
ejpam-6166	56	17	the	the	DET
ejpam-6166	56	18	chebyshev	chebyshev	PROPN
ejpam-6166	56	19	series	series	NOUN
ejpam-6166	56	20	in	in	ADP
ejpam-6166	56	21	the	the	DET
ejpam-6166	56	22	new	new	ADJ
ejpam-6166	56	23	hpm	hpm	NOUN
ejpam-6166	56	24	.	.	PUNCT
ejpam-6166	57	1	here	here	ADV
ejpam-6166	57	2	,	,	PUNCT
ejpam-6166	57	3	we	we	PRON
ejpam-6166	57	4	mention	mention	VERB
ejpam-6166	57	5	some	some	DET
ejpam-6166	57	6	basic	basic	ADJ
ejpam-6166	57	7	assuming	assuming	NOUN
ejpam-6166	57	8	of	of	ADP
ejpam-6166	57	9	the	the	DET
ejpam-6166	57	10	chebyshev	chebyshev	PROPN
ejpam-6166	57	11	series	series	NOUN
ejpam-6166	57	12	,	,	PUNCT
ejpam-6166	57	13	the	the	DET
ejpam-6166	57	14	new	new	ADJ
ejpam-6166	57	15	homotopy	homotopy	NOUN
ejpam-6166	57	16	perturbation	perturbation	NOUN
ejpam-6166	57	17	algorithm	algorithm	NOUN
ejpam-6166	57	18	.	.	PUNCT
ejpam-6166	58	1	3.1	3.1	NUM
ejpam-6166	58	2	.	.	PUNCT
ejpam-6166	58	3	chebyshev	chebyshev	PROPN
ejpam-6166	58	4	series	series	PROPN
ejpam-6166	58	5	if	if	SCONJ
ejpam-6166	58	6	we	we	PRON
ejpam-6166	58	7	have	have	VERB
ejpam-6166	58	8	a	a	DET
ejpam-6166	58	9	continuous	continuous	ADJ
ejpam-6166	58	10	function	function	NOUN
ejpam-6166	58	11	q(t	q(t	PROPN
ejpam-6166	58	12	)	)	PUNCT
ejpam-6166	58	13	in	in	ADP
ejpam-6166	58	14	[	[	X
ejpam-6166	58	15	a	a	DET
ejpam-6166	58	16	,	,	PUNCT
ejpam-6166	58	17	b	b	NOUN
ejpam-6166	58	18	]	]	X
ejpam-6166	58	19	,	,	PUNCT
ejpam-6166	58	20	then	then	ADV
ejpam-6166	58	21	it	it	PRON
ejpam-6166	58	22	can	can	AUX
ejpam-6166	58	23	be	be	AUX
ejpam-6166	58	24	rewritten	rewrite	VERB
ejpam-6166	58	25	in	in	ADP
ejpam-6166	58	26	terms	term	NOUN
ejpam-6166	58	27	of	of	ADP
ejpam-6166	58	28	the	the	DET
ejpam-6166	58	29	cs	cs	PROPN
ejpam-6166	58	30	of	of	ADP
ejpam-6166	58	31	the	the	DET
ejpam-6166	58	32	first	first	ADJ
ejpam-6166	58	33	kind	kind	NOUN
ejpam-6166	58	34	as	as	SCONJ
ejpam-6166	58	35	follows	follow	VERB
ejpam-6166	58	36	(	(	PUNCT
ejpam-6166	58	37	[	[	X
ejpam-6166	58	38	31]-[33	31]-[33	PROPN
ejpam-6166	58	39	]	]	X
ejpam-6166	58	40	):	):	PUNCT
ejpam-6166	58	41	q(t	q(t	X
ejpam-6166	58	42	)	)	PUNCT
ejpam-6166	58	43	=	=	NOUN
ejpam-6166	59	1	∞∑	∞∑	NUM
ejpam-6166	59	2	k=0	k=0	PROPN
ejpam-6166	59	3	′	′	NUM
ejpam-6166	59	4	cktk	cktk	NOUN
ejpam-6166	59	5	(	(	PUNCT
ejpam-6166	59	6	2t−	2t−	PROPN
ejpam-6166	59	7	b−	b−	PROPN
ejpam-6166	59	8	a	a	DET
ejpam-6166	59	9	b−	b−	NOUN
ejpam-6166	59	10	a	a	PRON
ejpam-6166	59	11	)	)	PUNCT
ejpam-6166	59	12	,	,	PUNCT
ejpam-6166	59	13	(	(	PUNCT
ejpam-6166	59	14	2	2	X
ejpam-6166	59	15	)	)	PUNCT
ejpam-6166	59	16	m.	m.	NOUN
ejpam-6166	59	17	adel	adel	PROPN
ejpam-6166	59	18	,	,	PUNCT
ejpam-6166	59	19	m.	m.	NOUN
ejpam-6166	59	20	m.	m.	NOUN
ejpam-6166	59	21	khader	khader	PROPN
ejpam-6166	59	22	,	,	PUNCT
ejpam-6166	59	23	m.	m.	NOUN
ejpam-6166	59	24	messaoudi	messaoudi	PROPN
ejpam-6166	59	25	/	/	SYM
ejpam-6166	59	26	eur	eur	PROPN
ejpam-6166	59	27	.	.	PUNCT
ejpam-6166	60	1	j.	j.	PROPN
ejpam-6166	60	2	pure	pure	PROPN
ejpam-6166	60	3	appl	appl	PROPN
ejpam-6166	60	4	.	.	PROPN
ejpam-6166	60	5	math	math	PROPN
ejpam-6166	60	6	,	,	PUNCT
ejpam-6166	60	7	18	18	NUM
ejpam-6166	60	8	(	(	PUNCT
ejpam-6166	60	9	2	2	NUM
ejpam-6166	60	10	)	)	PUNCT
ejpam-6166	60	11	(	(	PUNCT
ejpam-6166	60	12	2025	2025	NUM
ejpam-6166	60	13	)	)	PUNCT
ejpam-6166	60	14	,	,	PUNCT
ejpam-6166	60	15	6166	6166	NUM
ejpam-6166	60	16	4	4	NUM
ejpam-6166	60	17	of	of	ADP
ejpam-6166	60	18	16	16	NUM
ejpam-6166	60	19	where	where	SCONJ
ejpam-6166	60	20	′	′	NUM
ejpam-6166	60	21	sign	sign	NOUN
ejpam-6166	60	22	indicates	indicate	VERB
ejpam-6166	60	23	that	that	SCONJ
ejpam-6166	60	24	the	the	DET
ejpam-6166	60	25	coefficient	coefficient	NOUN
ejpam-6166	60	26	of	of	ADP
ejpam-6166	60	27	t0(t	t0(t	PROPN
ejpam-6166	60	28	)	)	PUNCT
ejpam-6166	60	29	must	must	AUX
ejpam-6166	60	30	be	be	AUX
ejpam-6166	60	31	reduced	reduce	VERB
ejpam-6166	60	32	by	by	ADP
ejpam-6166	60	33	half	half	NOUN
ejpam-6166	60	34	,	,	PUNCT
ejpam-6166	60	35	tk(t	tk(t	NUM
ejpam-6166	60	36	)	)	PUNCT
ejpam-6166	60	37	=	=	SYM
ejpam-6166	60	38	cos(k	cos(k	PROPN
ejpam-6166	60	39	cos−1(t	cos−1(t	PRON
ejpam-6166	60	40	)	)	PUNCT
ejpam-6166	60	41	)	)	PUNCT
ejpam-6166	61	1	where	where	SCONJ
ejpam-6166	61	2	ck	ck	NOUN
ejpam-6166	61	3	=	=	SYM
ejpam-6166	61	4	2	2	NUM
ejpam-6166	61	5	π	π	NOUN
ejpam-6166	61	6	∫	∫	PROPN
ejpam-6166	61	7	1	1	NUM
ejpam-6166	61	8	−1	−1	NOUN
ejpam-6166	61	9	(	(	PUNCT
ejpam-6166	61	10	1−	1−	NUM
ejpam-6166	61	11	t2)−0.5	t2)−0.5	NUM
ejpam-6166	61	12	q(0.5(b+	q(0.5(b+	NOUN
ejpam-6166	61	13	a+	a+	PUNCT
ejpam-6166	61	14	(	(	PUNCT
ejpam-6166	61	15	b−	b−	PROPN
ejpam-6166	61	16	a)t))tk(t)dt	a)t))tk(t)dt	PROPN
ejpam-6166	61	17	.	.	PUNCT
ejpam-6166	62	1	by	by	ADP
ejpam-6166	62	2	the	the	DET
ejpam-6166	62	3	following	follow	VERB
ejpam-6166	62	4	recurrence	recurrence	NOUN
ejpam-6166	62	5	relation	relation	NOUN
ejpam-6166	62	6	,	,	PUNCT
ejpam-6166	62	7	we	we	PRON
ejpam-6166	62	8	can	can	AUX
ejpam-6166	62	9	obtain	obtain	VERB
ejpam-6166	62	10	chebyshev	chebyshev	NOUN
ejpam-6166	62	11	polynomials	polynomial	NOUN
ejpam-6166	62	12	of	of	ADP
ejpam-6166	62	13	the	the	DET
ejpam-6166	62	14	first	first	ADJ
ejpam-6166	62	15	kind	kind	NOUN
ejpam-6166	62	16	given	give	VERB
ejpam-6166	62	17	on	on	ADP
ejpam-6166	62	18	[	[	X
ejpam-6166	62	19	−1	−1	NOUN
ejpam-6166	62	20	,	,	PUNCT
ejpam-6166	62	21	1	1	NUM
ejpam-6166	62	22	]	]	NUM
ejpam-6166	62	23	:	:	PUNCT
ejpam-6166	62	24	ts(t	ts(t	NUM
ejpam-6166	62	25	)	)	PUNCT
ejpam-6166	62	26	=	=	PUNCT
ejpam-6166	63	1	2	2	NUM
ejpam-6166	63	2	t	t	NOUN
ejpam-6166	63	3	ts−1(t)−	ts−1(t)−	PROPN
ejpam-6166	63	4	ts−2(t	ts−2(t	PROPN
ejpam-6166	63	5	)	)	PUNCT
ejpam-6166	63	6	,	,	PUNCT
ejpam-6166	63	7	s	s	NOUN
ejpam-6166	63	8	=	=	SYM
ejpam-6166	63	9	2	2	NUM
ejpam-6166	63	10	,	,	PUNCT
ejpam-6166	63	11	3	3	NUM
ejpam-6166	63	12	,	,	PUNCT
ejpam-6166	63	13	...	...	PUNCT
ejpam-6166	63	14	,	,	PUNCT
ejpam-6166	63	15	t0(t	t0(t	PROPN
ejpam-6166	63	16	)	)	PUNCT
ejpam-6166	63	17	=	=	SYM
ejpam-6166	63	18	1	1	NUM
ejpam-6166	63	19	,	,	PUNCT
ejpam-6166	63	20	t1(t	t1(t	X
ejpam-6166	63	21	)	)	PUNCT
ejpam-6166	63	22	=	=	SYM
ejpam-6166	64	1	t.	t.	NOUN
ejpam-6166	64	2	(	(	PUNCT
ejpam-6166	64	3	3	3	NUM
ejpam-6166	64	4	)	)	PUNCT
ejpam-6166	64	5	furthermore	furthermore	ADV
ejpam-6166	64	6	,	,	PUNCT
ejpam-6166	64	7	these	these	DET
ejpam-6166	64	8	functions	function	NOUN
ejpam-6166	64	9	can	can	AUX
ejpam-6166	64	10	be	be	AUX
ejpam-6166	64	11	expressed	express	VERB
ejpam-6166	64	12	analytically	analytically	ADV
ejpam-6166	64	13	using	use	VERB
ejpam-6166	64	14	the	the	DET
ejpam-6166	64	15	finite	finite	ADJ
ejpam-6166	64	16	sum	sum	NOUN
ejpam-6166	64	17	of	of	ADP
ejpam-6166	64	18	powers	power	NOUN
ejpam-6166	64	19	of	of	ADP
ejpam-6166	64	20	t	t	PROPN
ejpam-6166	64	21	as	as	SCONJ
ejpam-6166	64	22	follows	follow	VERB
ejpam-6166	64	23	:	:	PUNCT
ejpam-6166	64	24	tk(t	tk(t	X
ejpam-6166	64	25	)	)	PUNCT
ejpam-6166	64	26	=	=	PUNCT
ejpam-6166	65	1	⌊	⌊	VERB
ejpam-6166	65	2	k	k	NOUN
ejpam-6166	65	3	2	2	NUM
ejpam-6166	65	4	⌋∑	⌋∑	NOUN
ejpam-6166	65	5	i=0	i=0	X
ejpam-6166	65	6	(	(	PUNCT
ejpam-6166	65	7	−1)i	−1)i	X
ejpam-6166	65	8	2k−2i−1	2k−2i−1	NUM
ejpam-6166	66	1	k	k	PROPN
ejpam-6166	66	2	k	k	PROPN
ejpam-6166	67	1	−	−	PROPN
ejpam-6166	68	1	i	i	PRON
ejpam-6166	68	2	(	(	PUNCT
ejpam-6166	68	3	k	k	X
ejpam-6166	68	4	−	−	PROPN
ejpam-6166	69	1	i	i	PRON
ejpam-6166	70	1	i	i	PRON
ejpam-6166	70	2	)	)	PUNCT
ejpam-6166	71	1	tk−2i	tk−2i	PROPN
ejpam-6166	71	2	.	.	PUNCT
ejpam-6166	72	1	(	(	PUNCT
ejpam-6166	72	2	4	4	X
ejpam-6166	72	3	)	)	PUNCT
ejpam-6166	72	4	if	if	SCONJ
ejpam-6166	72	5	the	the	DET
ejpam-6166	72	6	domain	domain	NOUN
ejpam-6166	72	7	of	of	ADP
ejpam-6166	72	8	the	the	DET
ejpam-6166	72	9	problem	problem	NOUN
ejpam-6166	72	10	under	under	ADP
ejpam-6166	72	11	study	study	NOUN
ejpam-6166	72	12	is	be	AUX
ejpam-6166	72	13	[	[	X
ejpam-6166	72	14	0	0	NUM
ejpam-6166	72	15	,	,	PUNCT
ejpam-6166	72	16	1	1	NUM
ejpam-6166	72	17	]	]	PUNCT
ejpam-6166	72	18	,	,	PUNCT
ejpam-6166	72	19	we	we	PRON
ejpam-6166	72	20	need	need	VERB
ejpam-6166	72	21	to	to	PART
ejpam-6166	72	22	derive	derive	VERB
ejpam-6166	72	23	the	the	DET
ejpam-6166	72	24	so	so	ADV
ejpam-6166	72	25	-	-	PUNCT
ejpam-6166	72	26	called	call	VERB
ejpam-6166	72	27	chebyshev	chebyshev	NOUN
ejpam-6166	72	28	transformed	transform	VERB
ejpam-6166	72	29	polynomials	polynomial	NOUN
ejpam-6166	72	30	tk(t	tk(t	NOUN
ejpam-6166	72	31	)	)	PUNCT
ejpam-6166	72	32	of	of	ADP
ejpam-6166	72	33	the	the	DET
ejpam-6166	72	34	first	first	ADJ
ejpam-6166	72	35	kind	kind	NOUN
ejpam-6166	72	36	,	,	PUNCT
ejpam-6166	72	37	using	use	VERB
ejpam-6166	72	38	an	an	DET
ejpam-6166	72	39	appropriate	appropriate	ADJ
ejpam-6166	72	40	linear	linear	ADJ
ejpam-6166	72	41	transformation	transformation	NOUN
ejpam-6166	72	42	via	via	ADP
ejpam-6166	72	43	the	the	DET
ejpam-6166	72	44	recurrence	recurrence	NOUN
ejpam-6166	72	45	relation	relation	NOUN
ejpam-6166	72	46	(	(	PUNCT
ejpam-6166	72	47	3	3	NUM
ejpam-6166	72	48	)	)	PUNCT
ejpam-6166	72	49	,	,	PUNCT
ejpam-6166	72	50	as	as	SCONJ
ejpam-6166	72	51	follows	follow	VERB
ejpam-6166	72	52	:	:	PUNCT
ejpam-6166	72	53	tk(t	tk(t	X
ejpam-6166	72	54	)	)	PUNCT
ejpam-6166	72	55	=	=	PUNCT
ejpam-6166	72	56	2(2t−	2(2t−	NUM
ejpam-6166	72	57	1)tk−1(t)−tk−2(t	1)tk−1(t)−tk−2(t	NUM
ejpam-6166	72	58	)	)	PUNCT
ejpam-6166	72	59	,	,	PUNCT
ejpam-6166	73	1	k	k	PROPN
ejpam-6166	73	2	=	=	SYM
ejpam-6166	73	3	2	2	NUM
ejpam-6166	73	4	,	,	PUNCT
ejpam-6166	73	5	3	3	NUM
ejpam-6166	73	6	,	,	PUNCT
ejpam-6166	73	7	...	...	PUNCT
ejpam-6166	73	8	,	,	PUNCT
ejpam-6166	73	9	t0(t	t0(t	PROPN
ejpam-6166	73	10	)	)	PUNCT
ejpam-6166	73	11	=	=	SYM
ejpam-6166	73	12	1	1	NUM
ejpam-6166	73	13	,	,	PUNCT
ejpam-6166	73	14	t1(t	t1(t	X
ejpam-6166	73	15	)	)	PUNCT
ejpam-6166	73	16	=	=	PUNCT
ejpam-6166	74	1	2t−	2t−	ADP
ejpam-6166	74	2	1	1	NUM
ejpam-6166	74	3	.	.	PUNCT
ejpam-6166	74	4	(	(	PUNCT
ejpam-6166	74	5	5	5	NUM
ejpam-6166	74	6	)	)	PUNCT
ejpam-6166	74	7	3.2	3.2	NUM
ejpam-6166	74	8	.	.	PUNCT
ejpam-6166	75	1	the	the	DET
ejpam-6166	75	2	new	new	ADJ
ejpam-6166	75	3	hpm	hpm	NOUN
ejpam-6166	75	4	to	to	PART
ejpam-6166	75	5	illustrate	illustrate	VERB
ejpam-6166	75	6	the	the	DET
ejpam-6166	75	7	process	process	NOUN
ejpam-6166	75	8	of	of	ADP
ejpam-6166	75	9	this	this	DET
ejpam-6166	75	10	technique	technique	NOUN
ejpam-6166	75	11	,	,	PUNCT
ejpam-6166	75	12	we	we	PRON
ejpam-6166	75	13	suppose	suppose	VERB
ejpam-6166	75	14	a	a	DET
ejpam-6166	75	15	general	general	ADJ
ejpam-6166	75	16	form	form	NOUN
ejpam-6166	75	17	of	of	ADP
ejpam-6166	75	18	the	the	DET
ejpam-6166	75	19	nonlinear	nonlinear	ADJ
ejpam-6166	75	20	odes	ode	NOUN
ejpam-6166	75	21	as	as	SCONJ
ejpam-6166	75	22	follows	follow	VERB
ejpam-6166	75	23	(	(	PUNCT
ejpam-6166	75	24	[	[	X
ejpam-6166	75	25	17	17	NUM
ejpam-6166	75	26	]	]	PUNCT
ejpam-6166	75	27	,	,	PUNCT
ejpam-6166	76	1	[	[	X
ejpam-6166	76	2	18	18	NUM
ejpam-6166	76	3	]	]	SYM
ejpam-6166	76	4	):	):	PUNCT
ejpam-6166	76	5	l[υ(z	l[υ(z	X
ejpam-6166	76	6	)	)	PUNCT
ejpam-6166	76	7	]	]	PUNCT
ejpam-6166	77	1	+	+	PUNCT
ejpam-6166	77	2	r[υ(z	r[υ(z	NOUN
ejpam-6166	77	3	)	)	PUNCT
ejpam-6166	77	4	]	]	PUNCT
ejpam-6166	78	1	+	+	PUNCT
ejpam-6166	78	2	n	n	PRON
ejpam-6166	78	3	[	[	X
ejpam-6166	78	4	υ(z	υ(z	NOUN
ejpam-6166	78	5	)	)	PUNCT
ejpam-6166	78	6	]	]	PUNCT
ejpam-6166	79	1	+	+	CCONJ
ejpam-6166	79	2	s(z	s(z	PROPN
ejpam-6166	79	3	)	)	PUNCT
ejpam-6166	79	4	=	=	SYM
ejpam-6166	79	5	0	0	NUM
ejpam-6166	79	6	,	,	PUNCT
ejpam-6166	79	7	z	z	NOUN
ejpam-6166	79	8	∈	∈	PROPN
ejpam-6166	80	1	[	[	X
ejpam-6166	80	2	a	a	X
ejpam-6166	80	3	,	,	PUNCT
ejpam-6166	80	4	b	b	NOUN
ejpam-6166	80	5	]	]	X
ejpam-6166	80	6	,	,	PUNCT
ejpam-6166	80	7	(	(	PUNCT
ejpam-6166	80	8	6	6	NUM
ejpam-6166	80	9	)	)	PUNCT
ejpam-6166	81	1	n	n	PRON
ejpam-6166	81	2	is	be	AUX
ejpam-6166	81	3	a	a	DET
ejpam-6166	81	4	nonlinear	nonlinear	ADJ
ejpam-6166	81	5	term	term	NOUN
ejpam-6166	81	6	,	,	PUNCT
ejpam-6166	81	7	and	and	CCONJ
ejpam-6166	81	8	s(z	s(z	PROPN
ejpam-6166	81	9	)	)	PUNCT
ejpam-6166	81	10	is	be	AUX
ejpam-6166	81	11	a	a	DET
ejpam-6166	81	12	given	give	VERB
ejpam-6166	81	13	source	source	NOUN
ejpam-6166	81	14	term	term	NOUN
ejpam-6166	81	15	.	.	PUNCT
ejpam-6166	82	1	by	by	ADP
ejpam-6166	82	2	harnessing	harness	VERB
ejpam-6166	82	3	the	the	DET
ejpam-6166	82	4	principle	principle	NOUN
ejpam-6166	82	5	of	of	ADP
ejpam-6166	82	6	homotopy	homotopy	PROPN
ejpam-6166	82	7	,	,	PUNCT
ejpam-6166	82	8	we	we	PRON
ejpam-6166	82	9	get	get	VERB
ejpam-6166	82	10	:	:	PUNCT
ejpam-6166	82	11	h(υ	h(υ	PROPN
ejpam-6166	82	12	,	,	PUNCT
ejpam-6166	82	13	ℓ	ℓ	NOUN
ejpam-6166	83	1	)	)	PUNCT
ejpam-6166	83	2	=	=	SYM
ejpam-6166	83	3	l[υ(z)]−υ∗(z	l[υ(z)]−υ∗(z	NOUN
ejpam-6166	83	4	)	)	PUNCT
ejpam-6166	83	5	+	+	NUM
ejpam-6166	83	6	ℓυ∗(z	ℓυ∗(z	NOUN
ejpam-6166	83	7	)	)	PUNCT
ejpam-6166	83	8	+	+	PUNCT
ejpam-6166	83	9	ℓ(r[υ(z	ℓ(r[υ(z	NOUN
ejpam-6166	83	10	)	)	PUNCT
ejpam-6166	83	11	]	]	PUNCT
ejpam-6166	84	1	+	+	PUNCT
ejpam-6166	84	2	n	n	PRON
ejpam-6166	84	3	[	[	X
ejpam-6166	84	4	υ(z	υ(z	NOUN
ejpam-6166	84	5	)	)	PUNCT
ejpam-6166	84	6	]	]	PUNCT
ejpam-6166	85	1	+	+	CCONJ
ejpam-6166	85	2	s(z	s(z	PROPN
ejpam-6166	85	3	)	)	PUNCT
ejpam-6166	85	4	)	)	PUNCT
ejpam-6166	86	1	=	=	SYM
ejpam-6166	86	2	0	0	NUM
ejpam-6166	86	3	,	,	PUNCT
ejpam-6166	86	4	(	(	PUNCT
ejpam-6166	86	5	7	7	X
ejpam-6166	86	6	)	)	PUNCT
ejpam-6166	86	7	where	where	SCONJ
ejpam-6166	86	8	υ∗(z	υ∗(z	NOUN
ejpam-6166	86	9	)	)	PUNCT
ejpam-6166	86	10	is	be	AUX
ejpam-6166	86	11	an	an	DET
ejpam-6166	86	12	initial	initial	ADJ
ejpam-6166	86	13	solution	solution	NOUN
ejpam-6166	86	14	to	to	ADP
ejpam-6166	86	15	the	the	DET
ejpam-6166	86	16	proposed	propose	VERB
ejpam-6166	86	17	problem	problem	NOUN
ejpam-6166	86	18	&	&	CCONJ
ejpam-6166	86	19	0	0	NUM
ejpam-6166	86	20	≤	≤	NUM
ejpam-6166	86	21	ℓ	ℓ	NOUN
ejpam-6166	86	22	≤	≤	NUM
ejpam-6166	86	23	1	1	NUM
ejpam-6166	86	24	is	be	AUX
ejpam-6166	86	25	an	an	DET
ejpam-6166	86	26	embedding	embed	VERB
ejpam-6166	86	27	parameter	parameter	NOUN
ejpam-6166	86	28	.	.	PUNCT
ejpam-6166	87	1	from	from	ADP
ejpam-6166	87	2	the	the	DET
ejpam-6166	87	3	principle	principle	NOUN
ejpam-6166	87	4	of	of	ADP
ejpam-6166	87	5	homotopy	homotopy	NOUN
ejpam-6166	87	6	(	(	PUNCT
ejpam-6166	87	7	7	7	NUM
ejpam-6166	87	8	)	)	PUNCT
ejpam-6166	87	9	,	,	PUNCT
ejpam-6166	87	10	we	we	PRON
ejpam-6166	87	11	can	can	AUX
ejpam-6166	87	12	find	find	VERB
ejpam-6166	87	13	the	the	DET
ejpam-6166	87	14	following	following	NOUN
ejpam-6166	87	15	:	:	PUNCT
ejpam-6166	87	16	l[υ(z	l[υ(z	X
ejpam-6166	87	17	)	)	PUNCT
ejpam-6166	87	18	]	]	PUNCT
ejpam-6166	88	1	=	=	SYM
ejpam-6166	88	2	υ∗(z)−	υ∗(z)−	PUNCT
ejpam-6166	88	3	ℓυ∗(z)−	ℓυ∗(z)−	PROPN
ejpam-6166	88	4	ℓ(r[υ(z	ℓ(r[υ(z	PROPN
ejpam-6166	88	5	)	)	PUNCT
ejpam-6166	88	6	]	]	PUNCT
ejpam-6166	89	1	+	+	PUNCT
ejpam-6166	89	2	n	n	PRON
ejpam-6166	89	3	[	[	X
ejpam-6166	89	4	υ(z	υ(z	NOUN
ejpam-6166	89	5	)	)	PUNCT
ejpam-6166	89	6	]	]	PUNCT
ejpam-6166	90	1	+	+	CCONJ
ejpam-6166	90	2	s(z	s(z	PROPN
ejpam-6166	90	3	)	)	PUNCT
ejpam-6166	90	4	)	)	PUNCT
ejpam-6166	91	1	,	,	PUNCT
ejpam-6166	91	2	(	(	PUNCT
ejpam-6166	91	3	8)	8)	NUM
ejpam-6166	91	4	υ(z	υ(z	NOUN
ejpam-6166	91	5	)	)	PUNCT
ejpam-6166	91	6	=	=	SYM
ejpam-6166	91	7	l−1[υ∗(z)]−	l−1[υ∗(z)]−	PROPN
ejpam-6166	91	8	ℓ	ℓ	PROPN
ejpam-6166	91	9	l−1[υ∗(z)]−	l−1[υ∗(z)]−	PROPN
ejpam-6166	91	10	ℓ	ℓ	PROPN
ejpam-6166	91	11	l−1[r[υ(z	l−1[r[υ(z	NUM
ejpam-6166	91	12	)	)	PUNCT
ejpam-6166	91	13	]	]	PUNCT
ejpam-6166	92	1	+	+	PUNCT
ejpam-6166	92	2	n	n	PRON
ejpam-6166	92	3	[	[	X
ejpam-6166	92	4	υ(z	υ(z	NOUN
ejpam-6166	92	5	)	)	PUNCT
ejpam-6166	92	6	]	]	PUNCT
ejpam-6166	93	1	+	+	CCONJ
ejpam-6166	93	2	s(z	s(z	PROPN
ejpam-6166	93	3	)	)	PUNCT
ejpam-6166	93	4	]	]	PUNCT
ejpam-6166	93	5	.	.	PUNCT
ejpam-6166	94	1	(	(	PUNCT
ejpam-6166	94	2	9	9	NUM
ejpam-6166	94	3	)	)	PUNCT
ejpam-6166	94	4	where	where	SCONJ
ejpam-6166	94	5	:	:	PUNCT
ejpam-6166	94	6	υ(z	υ(z	X
ejpam-6166	94	7	)	)	PUNCT
ejpam-6166	94	8	=	=	PUNCT
ejpam-6166	95	1	∞∑	∞∑	NUM
ejpam-6166	95	2	k=0	k=0	PROPN
ejpam-6166	95	3	ℓk	ℓk	PRON
ejpam-6166	95	4	uk(z	uk(z	NOUN
ejpam-6166	95	5	)	)	PUNCT
ejpam-6166	95	6	,	,	PUNCT
ejpam-6166	95	7	υ∗(z	υ∗(z	PROPN
ejpam-6166	95	8	)	)	PUNCT
ejpam-6166	95	9	=	=	PUNCT
ejpam-6166	96	1	∞∑	∞∑	NUM
ejpam-6166	96	2	k=0	k=0	PROPN
ejpam-6166	96	3	ck	ck	ADJ
ejpam-6166	96	4	vk(z	vk(z	NOUN
ejpam-6166	96	5	)	)	PUNCT
ejpam-6166	96	6	,	,	PUNCT
ejpam-6166	96	7	m.	m.	NOUN
ejpam-6166	96	8	adel	adel	PROPN
ejpam-6166	96	9	,	,	PUNCT
ejpam-6166	96	10	m.	m.	NOUN
ejpam-6166	96	11	m.	m.	NOUN
ejpam-6166	96	12	khader	khader	PROPN
ejpam-6166	96	13	,	,	PUNCT
ejpam-6166	96	14	m.	m.	NOUN
ejpam-6166	96	15	messaoudi	messaoudi	PROPN
ejpam-6166	96	16	/	/	SYM
ejpam-6166	96	17	eur	eur	PROPN
ejpam-6166	96	18	.	.	PUNCT
ejpam-6166	97	1	j.	j.	PROPN
ejpam-6166	97	2	pure	pure	PROPN
ejpam-6166	97	3	appl	appl	PROPN
ejpam-6166	97	4	.	.	PROPN
ejpam-6166	97	5	math	math	PROPN
ejpam-6166	97	6	,	,	PUNCT
ejpam-6166	97	7	18	18	NUM
ejpam-6166	97	8	(	(	PUNCT
ejpam-6166	97	9	2	2	NUM
ejpam-6166	97	10	)	)	PUNCT
ejpam-6166	97	11	(	(	PUNCT
ejpam-6166	97	12	2025	2025	NUM
ejpam-6166	97	13	)	)	PUNCT
ejpam-6166	97	14	,	,	PUNCT
ejpam-6166	97	15	6166	6166	NUM
ejpam-6166	97	16	5	5	NUM
ejpam-6166	97	17	of	of	ADP
ejpam-6166	97	18	16	16	NUM
ejpam-6166	97	19	then	then	ADV
ejpam-6166	97	20	,	,	PUNCT
ejpam-6166	97	21	we	we	PRON
ejpam-6166	97	22	obtain	obtain	VERB
ejpam-6166	97	23	:	:	PUNCT
ejpam-6166	97	24	∞∑	∞∑	NUM
ejpam-6166	97	25	k=0	k=0	PROPN
ejpam-6166	97	26	ℓk	ℓk	CCONJ
ejpam-6166	97	27	uk(z	uk(z	NOUN
ejpam-6166	97	28	)	)	PUNCT
ejpam-6166	98	1	=	=	PUNCT
ejpam-6166	98	2	l−1	l−1	NOUN
ejpam-6166	98	3	[	[	PUNCT
ejpam-6166	98	4	∞∑	∞∑	PROPN
ejpam-6166	98	5	k=0	k=0	PROPN
ejpam-6166	98	6	ck	ck	ADJ
ejpam-6166	98	7	vk(z	vk(z	PUNCT
ejpam-6166	98	8	)	)	PUNCT
ejpam-6166	98	9	]	]	PUNCT
ejpam-6166	99	1	−	−	PROPN
ejpam-6166	99	2	ℓ	ℓ	X
ejpam-6166	99	3	l−1	l−1	PROPN
ejpam-6166	99	4	[	[	PUNCT
ejpam-6166	99	5	∞∑	∞∑	PROPN
ejpam-6166	99	6	k=0	k=0	PROPN
ejpam-6166	99	7	ck	ck	ADJ
ejpam-6166	99	8	vk(z	vk(z	PUNCT
ejpam-6166	99	9	)	)	PUNCT
ejpam-6166	99	10	]	]	PUNCT
ejpam-6166	100	1	−	−	PROPN
ejpam-6166	100	2	ℓ	ℓ	X
ejpam-6166	100	3	l−1	l−1	PROPN
ejpam-6166	100	4	[	[	PUNCT
ejpam-6166	100	5	r	r	X
ejpam-6166	100	6	[	[	PUNCT
ejpam-6166	100	7	∞∑	∞∑	PROPN
ejpam-6166	100	8	k=0	k=0	PROPN
ejpam-6166	100	9	ℓk	ℓk	CCONJ
ejpam-6166	100	10	uk(z	uk(z	NOUN
ejpam-6166	100	11	)	)	PUNCT
ejpam-6166	100	12	]	]	PUNCT
ejpam-6166	101	1	+	+	PUNCT
ejpam-6166	101	2	n	n	X
ejpam-6166	101	3	[	[	PUNCT
ejpam-6166	101	4	∞∑	∞∑	PROPN
ejpam-6166	101	5	k=0	k=0	PROPN
ejpam-6166	101	6	ℓk	ℓk	CCONJ
ejpam-6166	101	7	uk(z	uk(z	NOUN
ejpam-6166	101	8	)	)	PUNCT
ejpam-6166	101	9	]	]	PUNCT
ejpam-6166	102	1	+	+	CCONJ
ejpam-6166	102	2	s(z	s(z	PROPN
ejpam-6166	102	3	)	)	PUNCT
ejpam-6166	102	4	]	]	PUNCT
ejpam-6166	102	5	.	.	PUNCT
ejpam-6166	103	1	(	(	PUNCT
ejpam-6166	103	2	10	10	X
ejpam-6166	103	3	)	)	PUNCT
ejpam-6166	103	4	equating	equate	VERB
ejpam-6166	103	5	the	the	DET
ejpam-6166	103	6	coefficients	coefficient	NOUN
ejpam-6166	103	7	of	of	ADP
ejpam-6166	103	8	ℓk	ℓk	PRON
ejpam-6166	103	9	,	,	PUNCT
ejpam-6166	103	10	k	k	PROPN
ejpam-6166	103	11	=	=	SYM
ejpam-6166	103	12	0	0	NUM
ejpam-6166	103	13	,	,	PUNCT
ejpam-6166	103	14	1	1	NUM
ejpam-6166	103	15	,	,	PUNCT
ejpam-6166	103	16	2	2	NUM
ejpam-6166	103	17	,	,	PUNCT
ejpam-6166	103	18	...	...	PUNCT
ejpam-6166	103	19	on	on	ADP
ejpam-6166	103	20	both	both	DET
ejpam-6166	103	21	sides	side	NOUN
ejpam-6166	103	22	,	,	PUNCT
ejpam-6166	103	23	we	we	PRON
ejpam-6166	103	24	obtain	obtain	VERB
ejpam-6166	103	25	:	:	PUNCT
ejpam-6166	103	26	ℓ0	ℓ0	ADV
ejpam-6166	103	27	:	:	PUNCT
ejpam-6166	103	28	u0(z	u0(z	ADJ
ejpam-6166	103	29	)	)	PUNCT
ejpam-6166	103	30	=	=	SYM
ejpam-6166	104	1	l−1	l−1	NOUN
ejpam-6166	104	2	[	[	PUNCT
ejpam-6166	104	3	∞∑	∞∑	PROPN
ejpam-6166	104	4	k=0	k=0	PROPN
ejpam-6166	104	5	ck	ck	ADJ
ejpam-6166	104	6	vk(z	vk(z	NOUN
ejpam-6166	104	7	)	)	PUNCT
ejpam-6166	104	8	]	]	PUNCT
ejpam-6166	104	9	,	,	PUNCT
ejpam-6166	104	10	ℓ1	ℓ1	NOUN
ejpam-6166	104	11	:	:	PUNCT
ejpam-6166	104	12	u1(z	u1(z	X
ejpam-6166	104	13	)	)	PUNCT
ejpam-6166	104	14	=	=	PUNCT
ejpam-6166	104	15	−l−1	−l−1	NOUN
ejpam-6166	104	16	[	[	PUNCT
ejpam-6166	104	17	∞∑	∞∑	PROPN
ejpam-6166	104	18	k=0	k=0	PROPN
ejpam-6166	104	19	ck	ck	ADJ
ejpam-6166	104	20	vk(z	vk(z	NOUN
ejpam-6166	104	21	)	)	PUNCT
ejpam-6166	104	22	]	]	PUNCT
ejpam-6166	105	1	−	−	PROPN
ejpam-6166	105	2	l−1[r(u0	l−1[r(u0	NOUN
ejpam-6166	105	3	)	)	PUNCT
ejpam-6166	106	1	+	+	ADP
ejpam-6166	106	2	n(u0	n(u0	NOUN
ejpam-6166	106	3	)	)	PUNCT
ejpam-6166	106	4	+	+	CCONJ
ejpam-6166	106	5	s(z	s(z	PROPN
ejpam-6166	106	6	)	)	PUNCT
ejpam-6166	106	7	]	]	PUNCT
ejpam-6166	106	8	,	,	PUNCT
ejpam-6166	106	9	ℓ2	ℓ2	PROPN
ejpam-6166	106	10	:	:	PUNCT
ejpam-6166	106	11	u2(z	u2(z	X
ejpam-6166	106	12	)	)	PUNCT
ejpam-6166	106	13	=	=	SYM
ejpam-6166	106	14	−l−1[r(u0	−l−1[r(u0	NOUN
ejpam-6166	106	15	,	,	PUNCT
ejpam-6166	106	16	u1	u1	NOUN
ejpam-6166	106	17	)	)	PUNCT
ejpam-6166	107	1	+	+	ADP
ejpam-6166	107	2	n(u0	n(u0	NOUN
ejpam-6166	107	3	,	,	PUNCT
ejpam-6166	107	4	u1	u1	NOUN
ejpam-6166	107	5	)	)	PUNCT
ejpam-6166	107	6	]	]	PUNCT
ejpam-6166	107	7	,	,	PUNCT
ejpam-6166	107	8	·	·	PUNCT
ejpam-6166	107	9	·	·	PUNCT
ejpam-6166	107	10	·	·	PUNCT
ejpam-6166	107	11	,	,	PUNCT
ejpam-6166	107	12	ℓj	ℓj	NOUN
ejpam-6166	107	13	:	:	PUNCT
ejpam-6166	107	14	uj(z	uj(z	NOUN
ejpam-6166	107	15	)	)	PUNCT
ejpam-6166	107	16	=	=	SYM
ejpam-6166	107	17	−l−1[r(u0	−l−1[r(u0	NOUN
ejpam-6166	107	18	,	,	PUNCT
ejpam-6166	107	19	u1	u1	NOUN
ejpam-6166	107	20	,	,	PUNCT
ejpam-6166	107	21	·	·	PUNCT
ejpam-6166	107	22	·	·	PUNCT
ejpam-6166	107	23	·	·	PUNCT
ejpam-6166	107	24	,	,	PUNCT
ejpam-6166	107	25	uj−1	uj−1	PROPN
ejpam-6166	107	26	)	)	PUNCT
ejpam-6166	107	27	+	+	ADJ
ejpam-6166	107	28	n(u0	n(u0	NOUN
ejpam-6166	107	29	,	,	PUNCT
ejpam-6166	107	30	u1	u1	NOUN
ejpam-6166	107	31	,	,	PUNCT
ejpam-6166	107	32	·	·	PUNCT
ejpam-6166	107	33	·	·	PUNCT
ejpam-6166	107	34	·	·	PUNCT
ejpam-6166	107	35	,	,	PUNCT
ejpam-6166	107	36	uj−1	uj−1	PROPN
ejpam-6166	107	37	)	)	PUNCT
ejpam-6166	107	38	]	]	PUNCT
ejpam-6166	107	39	,	,	PUNCT
ejpam-6166	107	40	j	j	PROPN
ejpam-6166	107	41	=	=	SYM
ejpam-6166	107	42	3	3	NUM
ejpam-6166	107	43	,	,	PUNCT
ejpam-6166	107	44	4	4	NUM
ejpam-6166	107	45	,	,	PUNCT
ejpam-6166	107	46	·	·	PUNCT
ejpam-6166	107	47	·	·	PUNCT
ejpam-6166	107	48	·	·	PUNCT
ejpam-6166	107	49	.	.	PUNCT
ejpam-6166	108	1	(	(	PUNCT
ejpam-6166	108	2	11	11	NUM
ejpam-6166	108	3	)	)	PUNCT
ejpam-6166	108	4	the	the	DET
ejpam-6166	108	5	exact	exact	ADJ
ejpam-6166	108	6	solution	solution	NOUN
ejpam-6166	108	7	to	to	ADP
ejpam-6166	108	8	the	the	DET
ejpam-6166	108	9	equation	equation	NOUN
ejpam-6166	108	10	under	under	ADP
ejpam-6166	108	11	study	study	NOUN
ejpam-6166	108	12	will	will	AUX
ejpam-6166	108	13	be	be	AUX
ejpam-6166	108	14	found	find	VERB
ejpam-6166	108	15	by	by	ADP
ejpam-6166	108	16	finding	find	VERB
ejpam-6166	108	17	the	the	DET
ejpam-6166	108	18	values	value	NOUN
ejpam-6166	108	19	of	of	ADP
ejpam-6166	108	20	the	the	DET
ejpam-6166	108	21	unknown	unknown	ADJ
ejpam-6166	108	22	coefficient	coefficient	NOUN
ejpam-6166	108	23	ck	ck	ADV
ejpam-6166	108	24	,	,	PUNCT
ejpam-6166	108	25	assuming	assume	VERB
ejpam-6166	108	26	that	that	SCONJ
ejpam-6166	108	27	u1	u1	NOUN
ejpam-6166	108	28	=	=	SYM
ejpam-6166	108	29	0	0	PROPN
ejpam-6166	108	30	,	,	PUNCT
ejpam-6166	108	31	which	which	PRON
ejpam-6166	108	32	will	will	AUX
ejpam-6166	108	33	take	take	VERB
ejpam-6166	108	34	the	the	DET
ejpam-6166	108	35	following	follow	VERB
ejpam-6166	108	36	form	form	NOUN
ejpam-6166	108	37	:	:	PUNCT
ejpam-6166	108	38	υ(z	υ(z	NOUN
ejpam-6166	108	39	)	)	PUNCT
ejpam-6166	108	40	=	=	SYM
ejpam-6166	109	1	u0(z	u0(z	ADJ
ejpam-6166	109	2	)	)	PUNCT
ejpam-6166	109	3	=	=	SYM
ejpam-6166	110	1	l−1	l−1	NOUN
ejpam-6166	110	2	[	[	PUNCT
ejpam-6166	110	3	∞∑	∞∑	PROPN
ejpam-6166	110	4	k=0	k=0	PROPN
ejpam-6166	110	5	ck	ck	ADJ
ejpam-6166	110	6	vk(z	vk(z	NOUN
ejpam-6166	110	7	)	)	PUNCT
ejpam-6166	110	8	]	]	PUNCT
ejpam-6166	110	9	.	.	PUNCT
ejpam-6166	111	1	(	(	PUNCT
ejpam-6166	111	2	12	12	NUM
ejpam-6166	111	3	)	)	PUNCT
ejpam-6166	111	4	3.3	3.3	NUM
ejpam-6166	111	5	.	.	PUNCT
ejpam-6166	112	1	the	the	DET
ejpam-6166	112	2	chpm	chpm	ADJ
ejpam-6166	112	3	algorithm	algorithm	NOUN
ejpam-6166	112	4	to	to	PART
ejpam-6166	112	5	clarify	clarify	VERB
ejpam-6166	112	6	the	the	DET
ejpam-6166	112	7	novel	novel	ADJ
ejpam-6166	112	8	method	method	NOUN
ejpam-6166	112	9	’s	’s	PART
ejpam-6166	112	10	methodology	methodology	NOUN
ejpam-6166	112	11	,	,	PUNCT
ejpam-6166	112	12	we	we	PRON
ejpam-6166	112	13	shall	shall	AUX
ejpam-6166	112	14	outline	outline	VERB
ejpam-6166	112	15	the	the	DET
ejpam-6166	112	16	following	follow	VERB
ejpam-6166	112	17	stages	stage	NOUN
ejpam-6166	112	18	for	for	ADP
ejpam-6166	112	19	its	its	PRON
ejpam-6166	112	20	application	application	NOUN
ejpam-6166	112	21	:	:	PUNCT
ejpam-6166	112	22	step	step	NOUN
ejpam-6166	112	23	1	1	NUM
ejpam-6166	112	24	:	:	PUNCT
ejpam-6166	112	25	we	we	PRON
ejpam-6166	112	26	use	use	VERB
ejpam-6166	112	27	the	the	DET
ejpam-6166	112	28	same	same	ADJ
ejpam-6166	112	29	principle	principle	NOUN
ejpam-6166	112	30	of	of	ADP
ejpam-6166	112	31	homotopy	homotopy	NOUN
ejpam-6166	112	32	defined	define	VERB
ejpam-6166	112	33	in	in	ADP
ejpam-6166	112	34	(	(	PUNCT
ejpam-6166	112	35	8)	8)	NUM
ejpam-6166	112	36	.	.	PUNCT
ejpam-6166	113	1	step	step	NOUN
ejpam-6166	113	2	2	2	NUM
ejpam-6166	113	3	:	:	PUNCT
ejpam-6166	113	4	take	take	VERB
ejpam-6166	113	5	the	the	DET
ejpam-6166	113	6	l−1	l−1	PROPN
ejpam-6166	113	7	operator	operator	NOUN
ejpam-6166	113	8	to	to	PART
ejpam-6166	113	9	eq.(8	eq.(8	VERB
ejpam-6166	113	10	)	)	PUNCT
ejpam-6166	113	11	,	,	PUNCT
ejpam-6166	113	12	and	and	CCONJ
ejpam-6166	113	13	we	we	PRON
ejpam-6166	113	14	rearrange	rearrange	VERB
ejpam-6166	113	15	it	it	PRON
ejpam-6166	113	16	to	to	PART
ejpam-6166	113	17	get	get	VERB
ejpam-6166	113	18	υ(z	υ(z	VERB
ejpam-6166	113	19	)	)	PUNCT
ejpam-6166	113	20	as	as	SCONJ
ejpam-6166	113	21	defined	define	VERB
ejpam-6166	113	22	in	in	ADP
ejpam-6166	113	23	(	(	PUNCT
ejpam-6166	113	24	9	9	NUM
ejpam-6166	113	25	)	)	PUNCT
ejpam-6166	113	26	.	.	PUNCT
ejpam-6166	114	1	step	step	NOUN
ejpam-6166	114	2	3	3	NUM
ejpam-6166	114	3	:	:	PUNCT
ejpam-6166	114	4	assume	assume	VERB
ejpam-6166	114	5	that	that	SCONJ
ejpam-6166	114	6	υ(z	υ(z	VERB
ejpam-6166	114	7	)	)	PUNCT
ejpam-6166	114	8	=	=	PUNCT
ejpam-6166	115	1	∞∑	∞∑	NUM
ejpam-6166	115	2	k=0	k=0	PROPN
ejpam-6166	115	3	ℓk	ℓk	PRON
ejpam-6166	115	4	uk(z	uk(z	NOUN
ejpam-6166	115	5	)	)	PUNCT
ejpam-6166	115	6	,	,	PUNCT
ejpam-6166	115	7	υ∗(z	υ∗(z	PROPN
ejpam-6166	115	8	)	)	PUNCT
ejpam-6166	115	9	=	=	PUNCT
ejpam-6166	116	1	∞∑	∞∑	NUM
ejpam-6166	116	2	k=0	k=0	PROPN
ejpam-6166	116	3	ck	ck	ADJ
ejpam-6166	116	4	tk(z	tk(z	ADJ
ejpam-6166	116	5	)	)	PUNCT
ejpam-6166	116	6	,	,	PUNCT
ejpam-6166	116	7	then	then	ADV
ejpam-6166	116	8	,	,	PUNCT
ejpam-6166	116	9	we	we	PRON
ejpam-6166	116	10	get	get	VERB
ejpam-6166	116	11	∞∑	∞∑	PRON
ejpam-6166	116	12	k=0	k=0	PROPN
ejpam-6166	116	13	ℓk	ℓk	CCONJ
ejpam-6166	116	14	uk(z	uk(z	NUM
ejpam-6166	116	15	)	)	PUNCT
ejpam-6166	117	1	=	=	PUNCT
ejpam-6166	117	2	l−1	l−1	NOUN
ejpam-6166	117	3	[	[	PUNCT
ejpam-6166	117	4	∞∑	∞∑	PROPN
ejpam-6166	117	5	k=0	k=0	PROPN
ejpam-6166	117	6	ck	ck	ADJ
ejpam-6166	117	7	tk(z	tk(z	PUNCT
ejpam-6166	117	8	)	)	PUNCT
ejpam-6166	117	9	]	]	PUNCT
ejpam-6166	118	1	−	−	PROPN
ejpam-6166	118	2	ℓ	ℓ	X
ejpam-6166	118	3	l−1	l−1	PROPN
ejpam-6166	118	4	[	[	PUNCT
ejpam-6166	118	5	∞∑	∞∑	PROPN
ejpam-6166	118	6	k=0	k=0	PROPN
ejpam-6166	118	7	ck	ck	ADJ
ejpam-6166	118	8	tk(z	tk(z	PUNCT
ejpam-6166	118	9	)	)	PUNCT
ejpam-6166	118	10	]	]	PUNCT
ejpam-6166	118	11	−	−	PROPN
ejpam-6166	118	12	ℓ	ℓ	X
ejpam-6166	118	13	l−1	l−1	PROPN
ejpam-6166	118	14	[	[	PUNCT
ejpam-6166	118	15	r	r	X
ejpam-6166	118	16	[	[	PUNCT
ejpam-6166	118	17	∞∑	∞∑	PROPN
ejpam-6166	118	18	k=0	k=0	PROPN
ejpam-6166	118	19	ℓk	ℓk	CCONJ
ejpam-6166	118	20	uk(z	uk(z	NOUN
ejpam-6166	118	21	)	)	PUNCT
ejpam-6166	118	22	]	]	PUNCT
ejpam-6166	119	1	+	+	PUNCT
ejpam-6166	119	2	n	n	X
ejpam-6166	119	3	[	[	PUNCT
ejpam-6166	119	4	∞∑	∞∑	PROPN
ejpam-6166	119	5	k=0	k=0	PROPN
ejpam-6166	119	6	ℓk	ℓk	CCONJ
ejpam-6166	119	7	uk(z	uk(z	NOUN
ejpam-6166	119	8	)	)	PUNCT
ejpam-6166	119	9	]	]	PUNCT
ejpam-6166	120	1	+	+	CCONJ
ejpam-6166	120	2	s(z	s(z	PROPN
ejpam-6166	120	3	)	)	PUNCT
ejpam-6166	120	4	]	]	PUNCT
ejpam-6166	120	5	.	.	PUNCT
ejpam-6166	121	1	(	(	PUNCT
ejpam-6166	121	2	13	13	NUM
ejpam-6166	121	3	)	)	PUNCT
ejpam-6166	121	4	m.	m.	NOUN
ejpam-6166	121	5	adel	adel	PROPN
ejpam-6166	121	6	,	,	PUNCT
ejpam-6166	121	7	m.	m.	NOUN
ejpam-6166	121	8	m.	m.	NOUN
ejpam-6166	121	9	khader	khader	PROPN
ejpam-6166	121	10	,	,	PUNCT
ejpam-6166	121	11	m.	m.	NOUN
ejpam-6166	121	12	messaoudi	messaoudi	PROPN
ejpam-6166	121	13	/	/	SYM
ejpam-6166	121	14	eur	eur	PROPN
ejpam-6166	121	15	.	.	PUNCT
ejpam-6166	122	1	j.	j.	PROPN
ejpam-6166	122	2	pure	pure	PROPN
ejpam-6166	122	3	appl	appl	PROPN
ejpam-6166	122	4	.	.	PROPN
ejpam-6166	122	5	math	math	PROPN
ejpam-6166	122	6	,	,	PUNCT
ejpam-6166	122	7	18	18	NUM
ejpam-6166	122	8	(	(	PUNCT
ejpam-6166	122	9	2	2	NUM
ejpam-6166	122	10	)	)	PUNCT
ejpam-6166	122	11	(	(	PUNCT
ejpam-6166	122	12	2025	2025	NUM
ejpam-6166	122	13	)	)	PUNCT
ejpam-6166	122	14	,	,	PUNCT
ejpam-6166	122	15	6166	6166	NUM
ejpam-6166	122	16	6	6	NUM
ejpam-6166	122	17	of	of	ADP
ejpam-6166	122	18	16	16	NUM
ejpam-6166	122	19	step	step	NOUN
ejpam-6166	122	20	4	4	NUM
ejpam-6166	122	21	:	:	PUNCT
ejpam-6166	122	22	comparing	compare	VERB
ejpam-6166	122	23	the	the	DET
ejpam-6166	122	24	coefficients	coefficient	NOUN
ejpam-6166	122	25	of	of	ADP
ejpam-6166	122	26	ℓk	ℓk	PRON
ejpam-6166	122	27	,	,	PUNCT
ejpam-6166	122	28	k	k	PROPN
ejpam-6166	122	29	=	=	SYM
ejpam-6166	122	30	0	0	NUM
ejpam-6166	122	31	,	,	PUNCT
ejpam-6166	122	32	1	1	NUM
ejpam-6166	122	33	,	,	PUNCT
ejpam-6166	122	34	2	2	NUM
ejpam-6166	122	35	,	,	PUNCT
ejpam-6166	122	36	..	..	PUNCT
ejpam-6166	122	37	on	on	ADP
ejpam-6166	122	38	both	both	DET
ejpam-6166	122	39	sides	side	NOUN
ejpam-6166	122	40	of	of	ADP
ejpam-6166	122	41	(	(	PUNCT
ejpam-6166	122	42	13	13	NUM
ejpam-6166	122	43	)	)	PUNCT
ejpam-6166	122	44	,	,	PUNCT
ejpam-6166	122	45	leads	lead	VERB
ejpam-6166	122	46	to	to	PART
ejpam-6166	122	47	find	find	VERB
ejpam-6166	122	48	:	:	PUNCT
ejpam-6166	122	49	ℓ0	ℓ0	ADV
ejpam-6166	122	50	:	:	PUNCT
ejpam-6166	122	51	u0(z	u0(z	ADJ
ejpam-6166	122	52	)	)	PUNCT
ejpam-6166	123	1	=	=	SYM
ejpam-6166	123	2	l−1	l−1	NOUN
ejpam-6166	123	3	[	[	PUNCT
ejpam-6166	123	4	∞∑	∞∑	PROPN
ejpam-6166	123	5	k=0	k=0	PROPN
ejpam-6166	123	6	ck	ck	ADJ
ejpam-6166	123	7	tk(z	tk(z	ADV
ejpam-6166	123	8	)	)	PUNCT
ejpam-6166	123	9	]	]	PUNCT
ejpam-6166	123	10	,	,	PUNCT
ejpam-6166	123	11	ℓ1	ℓ1	NOUN
ejpam-6166	123	12	:	:	PUNCT
ejpam-6166	123	13	u1(z	u1(z	X
ejpam-6166	123	14	)	)	PUNCT
ejpam-6166	123	15	=	=	PUNCT
ejpam-6166	123	16	−l−1	−l−1	NOUN
ejpam-6166	123	17	[	[	PUNCT
ejpam-6166	123	18	∞∑	∞∑	PROPN
ejpam-6166	123	19	k=0	k=0	PROPN
ejpam-6166	123	20	ck	ck	ADJ
ejpam-6166	123	21	tk(z	tk(z	PUNCT
ejpam-6166	123	22	)	)	PUNCT
ejpam-6166	123	23	]	]	PUNCT
ejpam-6166	124	1	−	−	PROPN
ejpam-6166	124	2	l−1[r(u0	l−1[r(u0	NOUN
ejpam-6166	124	3	)	)	PUNCT
ejpam-6166	125	1	+	+	ADP
ejpam-6166	125	2	n(u0	n(u0	NOUN
ejpam-6166	125	3	)	)	PUNCT
ejpam-6166	125	4	+	+	CCONJ
ejpam-6166	125	5	s(z	s(z	PROPN
ejpam-6166	125	6	)	)	PUNCT
ejpam-6166	125	7	]	]	PUNCT
ejpam-6166	125	8	,	,	PUNCT
ejpam-6166	125	9	ℓ2	ℓ2	PROPN
ejpam-6166	125	10	:	:	PUNCT
ejpam-6166	125	11	u2(z	u2(z	X
ejpam-6166	125	12	)	)	PUNCT
ejpam-6166	125	13	=	=	SYM
ejpam-6166	125	14	−l−1[r(u0	−l−1[r(u0	NOUN
ejpam-6166	125	15	,	,	PUNCT
ejpam-6166	125	16	u1	u1	NOUN
ejpam-6166	125	17	)	)	PUNCT
ejpam-6166	126	1	+	+	ADP
ejpam-6166	126	2	n(u0	n(u0	NOUN
ejpam-6166	126	3	,	,	PUNCT
ejpam-6166	126	4	u1	u1	NOUN
ejpam-6166	126	5	)	)	PUNCT
ejpam-6166	126	6	]	]	PUNCT
ejpam-6166	126	7	,	,	PUNCT
ejpam-6166	126	8	·	·	PUNCT
ejpam-6166	126	9	·	·	PUNCT
ejpam-6166	126	10	·	·	PUNCT
ejpam-6166	126	11	,	,	PUNCT
ejpam-6166	126	12	ℓj	ℓj	NOUN
ejpam-6166	126	13	:	:	PUNCT
ejpam-6166	126	14	uj(z	uj(z	NOUN
ejpam-6166	126	15	)	)	PUNCT
ejpam-6166	126	16	=	=	SYM
ejpam-6166	126	17	−l−1[r(u0	−l−1[r(u0	NOUN
ejpam-6166	126	18	,	,	PUNCT
ejpam-6166	126	19	u1	u1	NOUN
ejpam-6166	126	20	,	,	PUNCT
ejpam-6166	126	21	·	·	PUNCT
ejpam-6166	126	22	·	·	PUNCT
ejpam-6166	126	23	·	·	PUNCT
ejpam-6166	126	24	,	,	PUNCT
ejpam-6166	126	25	uj−1	uj−1	PROPN
ejpam-6166	126	26	)	)	PUNCT
ejpam-6166	126	27	+	+	ADJ
ejpam-6166	126	28	n(u0	n(u0	NOUN
ejpam-6166	126	29	,	,	PUNCT
ejpam-6166	126	30	u1	u1	NOUN
ejpam-6166	126	31	,	,	PUNCT
ejpam-6166	126	32	·	·	PUNCT
ejpam-6166	126	33	·	·	PUNCT
ejpam-6166	126	34	·	·	PUNCT
ejpam-6166	126	35	,	,	PUNCT
ejpam-6166	126	36	uj−1	uj−1	PROPN
ejpam-6166	126	37	)	)	PUNCT
ejpam-6166	126	38	]	]	PUNCT
ejpam-6166	126	39	,	,	PUNCT
ejpam-6166	126	40	j	j	PROPN
ejpam-6166	126	41	=	=	SYM
ejpam-6166	126	42	3	3	NUM
ejpam-6166	126	43	,	,	PUNCT
ejpam-6166	126	44	4	4	NUM
ejpam-6166	126	45	,	,	PUNCT
ejpam-6166	126	46	·	·	PUNCT
ejpam-6166	126	47	·	·	PUNCT
ejpam-6166	126	48	·	·	PUNCT
ejpam-6166	126	49	.	.	PUNCT
ejpam-6166	127	1	(	(	PUNCT
ejpam-6166	127	2	14	14	NUM
ejpam-6166	127	3	)	)	PUNCT
ejpam-6166	127	4	step	step	NOUN
ejpam-6166	127	5	5	5	NUM
ejpam-6166	127	6	:	:	PUNCT
ejpam-6166	127	7	we	we	PRON
ejpam-6166	127	8	assume	assume	VERB
ejpam-6166	127	9	that	that	SCONJ
ejpam-6166	127	10	u1	u1	NOUN
ejpam-6166	127	11	=	=	SYM
ejpam-6166	127	12	0	0	NUM
ejpam-6166	127	13	,	,	PUNCT
ejpam-6166	127	14	and	and	CCONJ
ejpam-6166	127	15	find	find	VERB
ejpam-6166	127	16	the	the	DET
ejpam-6166	127	17	values	value	NOUN
ejpam-6166	127	18	of	of	ADP
ejpam-6166	127	19	ck	ck	PROPN
ejpam-6166	127	20	,	,	PUNCT
ejpam-6166	127	21	k	k	PROPN
ejpam-6166	127	22	=	=	SYM
ejpam-6166	127	23	0	0	NUM
ejpam-6166	127	24	,	,	PUNCT
ejpam-6166	127	25	1	1	NUM
ejpam-6166	127	26	,	,	PUNCT
ejpam-6166	127	27	2	2	NUM
ejpam-6166	127	28	,	,	PUNCT
ejpam-6166	127	29	..	..	PUNCT
ejpam-6166	127	30	,	,	PUNCT
ejpam-6166	127	31	m	m	VERB
ejpam-6166	127	32	by	by	ADP
ejpam-6166	127	33	equating	equate	VERB
ejpam-6166	127	34	the	the	DET
ejpam-6166	127	35	chebyshev	chebyshev	NOUN
ejpam-6166	127	36	polynomials	polynomial	NOUN
ejpam-6166	127	37	and	and	CCONJ
ejpam-6166	127	38	solving	solve	VERB
ejpam-6166	127	39	the	the	DET
ejpam-6166	127	40	resulting	result	VERB
ejpam-6166	127	41	system	system	NOUN
ejpam-6166	127	42	of	of	ADP
ejpam-6166	127	43	equations	equation	NOUN
ejpam-6166	127	44	.	.	PUNCT
ejpam-6166	128	1	then	then	ADV
ejpam-6166	128	2	,	,	PUNCT
ejpam-6166	128	3	the	the	DET
ejpam-6166	128	4	analytical	analytical	ADJ
ejpam-6166	128	5	solution	solution	NOUN
ejpam-6166	128	6	can	can	AUX
ejpam-6166	128	7	be	be	AUX
ejpam-6166	128	8	formulated	formulate	VERB
ejpam-6166	128	9	as	as	SCONJ
ejpam-6166	128	10	follows	follow	VERB
ejpam-6166	128	11	:	:	PUNCT
ejpam-6166	128	12	υm(z	υm(z	NUM
ejpam-6166	128	13	)	)	PUNCT
ejpam-6166	128	14	=	=	SYM
ejpam-6166	129	1	u0(z	u0(z	ADJ
ejpam-6166	129	2	)	)	PUNCT
ejpam-6166	129	3	=	=	SYM
ejpam-6166	129	4	l−1	l−1	PROPN
ejpam-6166	129	5	[	[	PUNCT
ejpam-6166	129	6	m∑	m∑	CCONJ
ejpam-6166	129	7	k=0	k=0	PROPN
ejpam-6166	129	8	ck	ck	VERB
ejpam-6166	129	9	tk(z	tk(z	PUNCT
ejpam-6166	129	10	)	)	PUNCT
ejpam-6166	129	11	]	]	PUNCT
ejpam-6166	129	12	.	.	PUNCT
ejpam-6166	130	1	(	(	PUNCT
ejpam-6166	130	2	15	15	NUM
ejpam-6166	130	3	)	)	SYM
ejpam-6166	130	4	4	4	NUM
ejpam-6166	130	5	.	.	PUNCT
ejpam-6166	130	6	numerical	numerical	ADJ
ejpam-6166	130	7	implementation	implementation	NOUN
ejpam-6166	130	8	the	the	DET
ejpam-6166	130	9	chpm	chpm	ADJ
ejpam-6166	130	10	technique	technique	NOUN
ejpam-6166	130	11	is	be	AUX
ejpam-6166	130	12	used	use	VERB
ejpam-6166	130	13	to	to	PART
ejpam-6166	130	14	solve	solve	VERB
ejpam-6166	130	15	the	the	DET
ejpam-6166	130	16	current	current	ADJ
ejpam-6166	130	17	problem	problem	NOUN
ejpam-6166	130	18	(	(	PUNCT
ejpam-6166	130	19	1	1	NUM
ejpam-6166	130	20	)	)	PUNCT
ejpam-6166	130	21	.	.	PUNCT
ejpam-6166	131	1	the	the	DET
ejpam-6166	131	2	primary	primary	ADJ
ejpam-6166	131	3	phases	phase	NOUN
ejpam-6166	131	4	of	of	ADP
ejpam-6166	131	5	the	the	DET
ejpam-6166	131	6	new	new	ADJ
ejpam-6166	131	7	technique	technique	NOUN
ejpam-6166	131	8	are	be	AUX
ejpam-6166	131	9	given	give	VERB
ejpam-6166	131	10	below	below	ADV
ejpam-6166	131	11	:	:	PUNCT
ejpam-6166	131	12	step	step	NOUN
ejpam-6166	131	13	1	1	NUM
ejpam-6166	131	14	:	:	PUNCT
ejpam-6166	131	15	applying	apply	VERB
ejpam-6166	131	16	the	the	DET
ejpam-6166	131	17	homotopy	homotopy	NOUN
ejpam-6166	131	18	property	property	NOUN
ejpam-6166	131	19	on	on	ADP
ejpam-6166	131	20	eq.(1	eq.(1	ADJ
ejpam-6166	131	21	)	)	PUNCT
ejpam-6166	131	22	,	,	PUNCT
ejpam-6166	131	23	we	we	PRON
ejpam-6166	131	24	find	find	VERB
ejpam-6166	131	25	:	:	PUNCT
ejpam-6166	131	26	ψ̇1(t	ψ̇1(t	ADJ
ejpam-6166	131	27	)	)	PUNCT
ejpam-6166	132	1	+	+	CCONJ
ejpam-6166	132	2	ℓψ∗	ℓψ∗	PROPN
ejpam-6166	132	3	1(t)−	1(t)−	PROPN
ejpam-6166	132	4	ψ∗	ψ∗	PROPN
ejpam-6166	132	5	1(t)−	1(t)−	PROPN
ejpam-6166	132	6	ℓ	ℓ	PROPN
ejpam-6166	133	1	[	[	X
ejpam-6166	133	2	ψ1(t)λ1	ψ1(t)λ1	X
ejpam-6166	133	3	(	(	PUNCT
ejpam-6166	133	4	p1	p1	PROPN
ejpam-6166	133	5	−	−	PROPN
ejpam-6166	133	6	β1ψ1(t)−	β1ψ1(t)−	PROPN
ejpam-6166	133	7	α1	α1	PROPN
ejpam-6166	133	8	ψ2(t))−	ψ2(t))−	NUM
ejpam-6166	133	9	(	(	PUNCT
ejpam-6166	133	10	1−	1−	NUM
ejpam-6166	133	11	p)θ1	p)θ1	PROPN
ejpam-6166	133	12	ψ1(t)ψ4(t	ψ1(t)ψ4(t	NOUN
ejpam-6166	133	13	)	)	PUNCT
ejpam-6166	133	14	]	]	PUNCT
ejpam-6166	134	1	=	=	SYM
ejpam-6166	134	2	0	0	NUM
ejpam-6166	134	3	,	,	PUNCT
ejpam-6166	134	4	ψ̇2(t	ψ̇2(t	PROPN
ejpam-6166	134	5	)	)	PUNCT
ejpam-6166	135	1	+	+	CCONJ
ejpam-6166	135	2	ℓψ∗	ℓψ∗	PROPN
ejpam-6166	135	3	2(t)−	2(t)−	NUM
ejpam-6166	135	4	ψ∗	ψ∗	PROPN
ejpam-6166	135	5	2(t)−	2(t)−	PROPN
ejpam-6166	135	6	ℓ	ℓ	PROPN
ejpam-6166	135	7	[	[	PUNCT
ejpam-6166	135	8	ψ2(t)λ2(p2d−	ψ2(t)λ2(p2d−	ADP
ejpam-6166	135	9	β2ψ2(t)−	β2ψ2(t)−	PRON
ejpam-6166	135	10	α2ψ3(t	α2ψ3(t	NUM
ejpam-6166	135	11	)	)	PUNCT
ejpam-6166	135	12	)	)	PUNCT
ejpam-6166	136	1	−	−	PROPN
ejpam-6166	137	1	κψ2(t	κψ2(t	NOUN
ejpam-6166	137	2	)	)	PUNCT
ejpam-6166	138	1	+	+	CCONJ
ejpam-6166	138	2	(	(	PUNCT
ejpam-6166	138	3	1−	1−	NUM
ejpam-6166	138	4	p)θ1ψ1(t)ψ2(t)ψ4(t	p)θ1ψ1(t)ψ2(t)ψ4(t	ADJ
ejpam-6166	138	5	)	)	PUNCT
ejpam-6166	138	6	]	]	PUNCT
ejpam-6166	139	1	=	=	PUNCT
ejpam-6166	139	2	0	0	NUM
ejpam-6166	139	3	,	,	PUNCT
ejpam-6166	139	4	ψ̇3(t	ψ̇3(t	X
ejpam-6166	139	5	)	)	PUNCT
ejpam-6166	139	6	+	+	CCONJ
ejpam-6166	139	7	ℓψ∗	ℓψ∗	PROPN
ejpam-6166	139	8	3(t)−	3(t)−	PROPN
ejpam-6166	139	9	ψ∗	ψ∗	PROPN
ejpam-6166	140	1	3(t)−	3(t)−	PROPN
ejpam-6166	140	2	ℓ	ℓ	PROPN
ejpam-6166	141	1	[	[	X
ejpam-6166	141	2	σρ+	σρ+	PROPN
ejpam-6166	141	3	ψ3(t)λ1(p3	ψ3(t)λ1(p3	PROPN
ejpam-6166	141	4	−	−	PROPN
ejpam-6166	141	5	β3	β3	VERB
ejpam-6166	141	6	−	−	PROPN
ejpam-6166	141	7	α3ψ2(t))−	α3ψ2(t))−	NUM
ejpam-6166	141	8	(	(	PUNCT
ejpam-6166	141	9	1−	1−	NUM
ejpam-6166	141	10	p)θ2ψ3(t)ψ4(t	p)θ2ψ3(t)ψ4(t	NOUN
ejpam-6166	141	11	)	)	PUNCT
ejpam-6166	141	12	]	]	PUNCT
ejpam-6166	142	1	=	=	SYM
ejpam-6166	142	2	0	0	NUM
ejpam-6166	142	3	,	,	PUNCT
ejpam-6166	142	4	ψ̇4(t	ψ̇4(t	NOUN
ejpam-6166	142	5	)	)	PUNCT
ejpam-6166	142	6	+	+	CCONJ
ejpam-6166	142	7	ℓψ∗	ℓψ∗	PROPN
ejpam-6166	142	8	4(t)−	4(t)−	PROPN
ejpam-6166	142	9	ψ∗	ψ∗	PROPN
ejpam-6166	142	10	4(t)−	4(t)−	PROPN
ejpam-6166	142	11	ℓ	ℓ	PROPN
ejpam-6166	143	1	[	[	X
ejpam-6166	143	2	α4ψ4(t	α4ψ4(t	NOUN
ejpam-6166	143	3	)	)	PUNCT
ejpam-6166	143	4	+	+	CCONJ
ejpam-6166	143	5	ϱ(1−	ϱ(1−	PROPN
ejpam-6166	143	6	p	p	X
ejpam-6166	143	7	)	)	PUNCT
ejpam-6166	143	8	]	]	PUNCT
ejpam-6166	144	1	=	=	PUNCT
ejpam-6166	144	2	0	0	X
ejpam-6166	144	3	.	.	PUNCT
ejpam-6166	145	1	(	(	PUNCT
ejpam-6166	145	2	16	16	NUM
ejpam-6166	145	3	)	)	PUNCT
ejpam-6166	145	4	step	step	NOUN
ejpam-6166	145	5	2	2	NUM
ejpam-6166	145	6	:	:	PUNCT
ejpam-6166	145	7	taking	take	VERB
ejpam-6166	145	8	l−1	l−1	PROPN
ejpam-6166	145	9	=	=	SYM
ejpam-6166	145	10	∫	∫	PROPN
ejpam-6166	145	11	t	t	PROPN
ejpam-6166	145	12	0	0	NUM
ejpam-6166	146	1	(	(	PUNCT
ejpam-6166	146	2	.)dt	.)dt	PUNCT
ejpam-6166	146	3	,	,	PUNCT
ejpam-6166	146	4	for	for	ADP
ejpam-6166	146	5	both	both	DET
ejpam-6166	146	6	sides	side	NOUN
ejpam-6166	146	7	of	of	ADP
ejpam-6166	146	8	(	(	PUNCT
ejpam-6166	146	9	16	16	NUM
ejpam-6166	146	10	)	)	PUNCT
ejpam-6166	146	11	yields	yield	NOUN
ejpam-6166	146	12	:	:	PUNCT
ejpam-6166	146	13	ψ1(t	ψ1(t	X
ejpam-6166	146	14	)	)	PUNCT
ejpam-6166	146	15	=	=	SYM
ejpam-6166	146	16	ψ1(0)−	ψ1(0)−	PROPN
ejpam-6166	146	17	ℓ	ℓ	PROPN
ejpam-6166	146	18	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	146	19	1(t	1(t	NUM
ejpam-6166	146	20	)	)	PUNCT
ejpam-6166	146	21	)	)	PUNCT
ejpam-6166	147	1	+	+	CCONJ
ejpam-6166	147	2	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	147	3	1(t	1(t	NUM
ejpam-6166	147	4	)	)	PUNCT
ejpam-6166	147	5	)	)	PUNCT
ejpam-6166	148	1	+	+	NUM
ejpam-6166	148	2	ℓ	ℓ	X
ejpam-6166	148	3	l−1	l−1	PROPN
ejpam-6166	149	1	[	[	X
ejpam-6166	149	2	ψ1(t)λ1	ψ1(t)λ1	X
ejpam-6166	149	3	(	(	PUNCT
ejpam-6166	149	4	p1	p1	PROPN
ejpam-6166	149	5	−	−	PROPN
ejpam-6166	149	6	β1ψ1(t)−	β1ψ1(t)−	PROPN
ejpam-6166	149	7	α1	α1	PROPN
ejpam-6166	149	8	ψ2(t))−	ψ2(t))−	NUM
ejpam-6166	149	9	(	(	PUNCT
ejpam-6166	149	10	1−	1−	NUM
ejpam-6166	149	11	p)θ1	p)θ1	PROPN
ejpam-6166	149	12	ψ1(t)ψ4(t	ψ1(t)ψ4(t	NOUN
ejpam-6166	149	13	)	)	PUNCT
ejpam-6166	149	14	]	]	PUNCT
ejpam-6166	149	15	,	,	PUNCT
ejpam-6166	149	16	ψ2(t	ψ2(t	PROPN
ejpam-6166	149	17	)	)	PUNCT
ejpam-6166	149	18	=	=	PUNCT
ejpam-6166	149	19	ψ2(0)−	ψ2(0)−	NOUN
ejpam-6166	149	20	ℓ	ℓ	PROPN
ejpam-6166	149	21	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	149	22	2(t	2(t	NUM
ejpam-6166	149	23	)	)	PUNCT
ejpam-6166	149	24	)	)	PUNCT
ejpam-6166	150	1	+	+	CCONJ
ejpam-6166	150	2	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	150	3	2(t	2(t	NUM
ejpam-6166	150	4	)	)	PUNCT
ejpam-6166	150	5	)	)	PUNCT
ejpam-6166	151	1	+	+	NUM
ejpam-6166	151	2	ℓ	ℓ	X
ejpam-6166	151	3	l−1	l−1	PROPN
ejpam-6166	151	4	[	[	PUNCT
ejpam-6166	151	5	ψ2(t)λ2(p2d−	ψ2(t)λ2(p2d−	ADP
ejpam-6166	151	6	β2ψ2(t)−	β2ψ2(t)−	X
ejpam-6166	151	7	α2ψ3(t))−	α2ψ3(t))−	PROPN
ejpam-6166	151	8	κψ2(t	κψ2(t	NOUN
ejpam-6166	151	9	)	)	PUNCT
ejpam-6166	151	10	+	+	CCONJ
ejpam-6166	151	11	(	(	PUNCT
ejpam-6166	151	12	1−	1−	NUM
ejpam-6166	151	13	p)θ1ψ1(t)ψ2(t)ψ4(t	p)θ1ψ1(t)ψ2(t)ψ4(t	ADJ
ejpam-6166	151	14	)	)	PUNCT
ejpam-6166	151	15	]	]	PUNCT
ejpam-6166	151	16	,	,	PUNCT
ejpam-6166	151	17	ψ3(t	ψ3(t	PROPN
ejpam-6166	151	18	)	)	PUNCT
ejpam-6166	151	19	=	=	SYM
ejpam-6166	151	20	ψ3(0)−	ψ3(0)−	PROPN
ejpam-6166	151	21	ℓ	ℓ	PROPN
ejpam-6166	151	22	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	151	23	3(t	3(t	NUM
ejpam-6166	151	24	)	)	PUNCT
ejpam-6166	151	25	)	)	PUNCT
ejpam-6166	152	1	+	+	CCONJ
ejpam-6166	152	2	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	152	3	3(t	3(t	NUM
ejpam-6166	152	4	)	)	PUNCT
ejpam-6166	152	5	)	)	PUNCT
ejpam-6166	153	1	+	+	NUM
ejpam-6166	153	2	ℓ	ℓ	X
ejpam-6166	153	3	l−1	l−1	PROPN
ejpam-6166	154	1	[	[	X
ejpam-6166	154	2	σρ+	σρ+	PROPN
ejpam-6166	154	3	ψ3(t)λ1(p3	ψ3(t)λ1(p3	PROPN
ejpam-6166	154	4	−	−	PROPN
ejpam-6166	154	5	β3	β3	VERB
ejpam-6166	154	6	−	−	PROPN
ejpam-6166	154	7	α3ψ2(t))−	α3ψ2(t))−	NUM
ejpam-6166	154	8	(	(	PUNCT
ejpam-6166	154	9	1−	1−	NUM
ejpam-6166	154	10	p)θ2ψ3(t)ψ4(t	p)θ2ψ3(t)ψ4(t	NOUN
ejpam-6166	154	11	)	)	PUNCT
ejpam-6166	154	12	]	]	PUNCT
ejpam-6166	154	13	,	,	PUNCT
ejpam-6166	154	14	ψ4(t	ψ4(t	PROPN
ejpam-6166	154	15	)	)	PUNCT
ejpam-6166	154	16	=	=	SYM
ejpam-6166	154	17	ψ4(0)−	ψ4(0)−	PROPN
ejpam-6166	154	18	ℓ	ℓ	PROPN
ejpam-6166	154	19	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	154	20	4(t	4(t	NUM
ejpam-6166	154	21	)	)	PUNCT
ejpam-6166	154	22	)	)	PUNCT
ejpam-6166	155	1	+	+	CCONJ
ejpam-6166	155	2	l−1(ψ∗	l−1(ψ∗	NOUN
ejpam-6166	155	3	4(t	4(t	NUM
ejpam-6166	155	4	)	)	PUNCT
ejpam-6166	155	5	)	)	PUNCT
ejpam-6166	156	1	+	+	NUM
ejpam-6166	156	2	ℓ	ℓ	X
ejpam-6166	156	3	l−1	l−1	PROPN
ejpam-6166	156	4	[	[	X
ejpam-6166	156	5	α4ψ4(t	α4ψ4(t	NOUN
ejpam-6166	156	6	)	)	PUNCT
ejpam-6166	156	7	+	+	CCONJ
ejpam-6166	156	8	ϱ(1−	ϱ(1−	PROPN
ejpam-6166	156	9	p	p	X
ejpam-6166	156	10	)	)	PUNCT
ejpam-6166	156	11	]	]	PUNCT
ejpam-6166	156	12	.	.	PUNCT
ejpam-6166	157	1	(	(	PUNCT
ejpam-6166	157	2	17	17	NUM
ejpam-6166	157	3	)	)	PUNCT
ejpam-6166	157	4	m.	m.	NOUN
ejpam-6166	157	5	adel	adel	PROPN
ejpam-6166	157	6	,	,	PUNCT
ejpam-6166	157	7	m.	m.	NOUN
ejpam-6166	157	8	m.	m.	NOUN
ejpam-6166	157	9	khader	khader	PROPN
ejpam-6166	157	10	,	,	PUNCT
ejpam-6166	157	11	m.	m.	NOUN
ejpam-6166	157	12	messaoudi	messaoudi	PROPN
ejpam-6166	157	13	/	/	SYM
ejpam-6166	157	14	eur	eur	PROPN
ejpam-6166	157	15	.	.	PUNCT
ejpam-6166	158	1	j.	j.	PROPN
ejpam-6166	158	2	pure	pure	PROPN
ejpam-6166	158	3	appl	appl	PROPN
ejpam-6166	158	4	.	.	PROPN
ejpam-6166	158	5	math	math	PROPN
ejpam-6166	158	6	,	,	PUNCT
ejpam-6166	158	7	18	18	NUM
ejpam-6166	158	8	(	(	PUNCT
ejpam-6166	158	9	2	2	NUM
ejpam-6166	158	10	)	)	PUNCT
ejpam-6166	158	11	(	(	PUNCT
ejpam-6166	158	12	2025	2025	NUM
ejpam-6166	158	13	)	)	PUNCT
ejpam-6166	158	14	,	,	PUNCT
ejpam-6166	158	15	6166	6166	NUM
ejpam-6166	158	16	7	7	NUM
ejpam-6166	158	17	of	of	ADP
ejpam-6166	158	18	16	16	NUM
ejpam-6166	158	19	step	step	NOUN
ejpam-6166	158	20	3	3	NUM
ejpam-6166	158	21	:	:	PUNCT
ejpam-6166	158	22	assuming	assume	VERB
ejpam-6166	158	23	that	that	SCONJ
ejpam-6166	158	24	ψj(t	ψj(t	PUNCT
ejpam-6166	158	25	)	)	PUNCT
ejpam-6166	158	26	=	=	PUNCT
ejpam-6166	159	1	∞∑	∞∑	NUM
ejpam-6166	159	2	k=0	k=0	PROPN
ejpam-6166	159	3	ℓk	ℓk	CCONJ
ejpam-6166	159	4	ψj	ψj	ADV
ejpam-6166	159	5	,	,	PUNCT
ejpam-6166	159	6	k(t	k(t	PROPN
ejpam-6166	159	7	)	)	PUNCT
ejpam-6166	159	8	,	,	PUNCT
ejpam-6166	159	9	ψ∗	ψ∗	PROPN
ejpam-6166	159	10	j	j	PROPN
ejpam-6166	159	11	(	(	PUNCT
ejpam-6166	159	12	t	t	PROPN
ejpam-6166	159	13	)	)	PUNCT
ejpam-6166	159	14	=	=	NOUN
ejpam-6166	160	1	∞∑	∞∑	NUM
ejpam-6166	160	2	k=0	k=0	PUNCT
ejpam-6166	160	3	cj	cj	PROPN
ejpam-6166	160	4	,	,	PUNCT
ejpam-6166	160	5	k	k	PROPN
ejpam-6166	160	6	tk(t	tk(t	NUM
ejpam-6166	160	7	)	)	PUNCT
ejpam-6166	160	8	,	,	PUNCT
ejpam-6166	160	9	j	j	PROPN
ejpam-6166	160	10	=	=	SYM
ejpam-6166	160	11	1	1	NUM
ejpam-6166	160	12	,	,	PUNCT
ejpam-6166	160	13	2	2	NUM
ejpam-6166	160	14	,	,	PUNCT
ejpam-6166	160	15	3	3	NUM
ejpam-6166	160	16	,	,	PUNCT
ejpam-6166	160	17	4	4	NUM
ejpam-6166	160	18	,	,	PUNCT
ejpam-6166	160	19	then	then	ADV
ejpam-6166	160	20	,	,	PUNCT
ejpam-6166	160	21	we	we	PRON
ejpam-6166	160	22	get	get	VERB
ejpam-6166	160	23	:	:	PUNCT
ejpam-6166	160	24	∞∑	∞∑	NUM
ejpam-6166	160	25	k=0	k=0	PROPN
ejpam-6166	160	26	ℓk	ℓk	PRON
ejpam-6166	160	27	ψ1,k(t	ψ1,k(t	NOUN
ejpam-6166	160	28	)	)	PUNCT
ejpam-6166	160	29	=	=	SYM
ejpam-6166	160	30	ψ1(0)−	ψ1(0)−	PROPN
ejpam-6166	160	31	ℓ	ℓ	PROPN
ejpam-6166	160	32	l−1	l−1	PROPN
ejpam-6166	160	33	(	(	PUNCT
ejpam-6166	160	34	∞∑	∞∑	PROPN
ejpam-6166	160	35	k=0	k=0	PROPN
ejpam-6166	160	36	c1,k	c1,k	PROPN
ejpam-6166	160	37	tk(t	tk(t	NOUN
ejpam-6166	160	38	)	)	PUNCT
ejpam-6166	160	39	)	)	PUNCT
ejpam-6166	161	1	+	+	CCONJ
ejpam-6166	161	2	l−1	l−1	NOUN
ejpam-6166	161	3	(	(	PUNCT
ejpam-6166	161	4	∞∑	∞∑	PROPN
ejpam-6166	161	5	k=0	k=0	PROPN
ejpam-6166	161	6	c1,k	c1,k	PROPN
ejpam-6166	161	7	tk(t	tk(t	NOUN
ejpam-6166	161	8	)	)	PUNCT
ejpam-6166	161	9	)	)	PUNCT
ejpam-6166	162	1	+	+	NUM
ejpam-6166	162	2	ℓ	ℓ	X
ejpam-6166	162	3	l−1	l−1	PROPN
ejpam-6166	162	4	[	[	PUNCT
ejpam-6166	162	5	λ1	λ1	PROPN
ejpam-6166	162	6	(	(	PUNCT
ejpam-6166	162	7	p1	p1	PROPN
ejpam-6166	162	8	−	−	PROPN
ejpam-6166	162	9	β1	β1	PROPN
ejpam-6166	162	10	(	(	PUNCT
ejpam-6166	162	11	∞∑	∞∑	PRON
ejpam-6166	162	12	k=0	k=0	PROPN
ejpam-6166	162	13	ℓk	ℓk	PRON
ejpam-6166	162	14	ψ1,k(t	ψ1,k(t	NOUN
ejpam-6166	162	15	)	)	PUNCT
ejpam-6166	162	16	)	)	PUNCT
ejpam-6166	163	1	−	−	PROPN
ejpam-6166	163	2	α1	α1	PROPN
ejpam-6166	163	3	(	(	PUNCT
ejpam-6166	163	4	∞∑	∞∑	NUM
ejpam-6166	163	5	k=0	k=0	PROPN
ejpam-6166	163	6	ℓk	ℓk	CCONJ
ejpam-6166	163	7	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	163	8	)	)	PUNCT
ejpam-6166	163	9	)	)	PUNCT
ejpam-6166	163	10	)	)	PUNCT
ejpam-6166	164	1	(	(	PUNCT
ejpam-6166	164	2	∞∑	∞∑	NUM
ejpam-6166	164	3	k=0	k=0	PROPN
ejpam-6166	164	4	ℓk	ℓk	PRON
ejpam-6166	164	5	ψ1,k(t	ψ1,k(t	NOUN
ejpam-6166	164	6	)	)	PUNCT
ejpam-6166	164	7	)	)	PUNCT
ejpam-6166	165	1	−	−	PROPN
ejpam-6166	165	2	(	(	PUNCT
ejpam-6166	165	3	1−	1−	NUM
ejpam-6166	165	4	p)θ1	p)θ1	PROPN
ejpam-6166	165	5	(	(	PUNCT
ejpam-6166	165	6	∞∑	∞∑	NUM
ejpam-6166	165	7	k=0	k=0	PROPN
ejpam-6166	165	8	ℓk	ℓk	PRON
ejpam-6166	165	9	ψ1,k(t	ψ1,k(t	NOUN
ejpam-6166	165	10	)	)	PUNCT
ejpam-6166	165	11	)	)	PUNCT
ejpam-6166	166	1	(	(	PUNCT
ejpam-6166	166	2	∞∑	∞∑	X
ejpam-6166	166	3	k=0	k=0	PROPN
ejpam-6166	166	4	ℓk	ℓk	PRON
ejpam-6166	166	5	ψ4,k(t	ψ4,k(t	NOUN
ejpam-6166	166	6	)	)	PUNCT
ejpam-6166	166	7	)	)	PUNCT
ejpam-6166	167	1	]	]	PUNCT
ejpam-6166	167	2	,	,	PUNCT
ejpam-6166	167	3	(	(	PUNCT
ejpam-6166	167	4	18	18	NUM
ejpam-6166	167	5	)	)	PUNCT
ejpam-6166	167	6	∞∑	∞∑	PROPN
ejpam-6166	167	7	k=0	k=0	PROPN
ejpam-6166	167	8	ℓk	ℓk	CCONJ
ejpam-6166	167	9	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	167	10	)	)	PUNCT
ejpam-6166	167	11	=	=	SYM
ejpam-6166	167	12	ψ2(0)−	ψ2(0)−	NOUN
ejpam-6166	167	13	ℓ	ℓ	X
ejpam-6166	167	14	l−1	l−1	PROPN
ejpam-6166	167	15	(	(	PUNCT
ejpam-6166	167	16	∞∑	∞∑	PROPN
ejpam-6166	167	17	k=0	k=0	PROPN
ejpam-6166	167	18	c2,k	c2,k	PROPN
ejpam-6166	167	19	tk(t	tk(t	NOUN
ejpam-6166	167	20	)	)	PUNCT
ejpam-6166	167	21	)	)	PUNCT
ejpam-6166	168	1	+	+	CCONJ
ejpam-6166	168	2	l−1	l−1	NOUN
ejpam-6166	168	3	(	(	PUNCT
ejpam-6166	168	4	∞∑	∞∑	DET
ejpam-6166	168	5	k=0	k=0	PROPN
ejpam-6166	168	6	c2,k	c2,k	PROPN
ejpam-6166	168	7	tk(t	tk(t	NOUN
ejpam-6166	168	8	)	)	PUNCT
ejpam-6166	168	9	)	)	PUNCT
ejpam-6166	169	1	+	+	CCONJ
ejpam-6166	169	2	ℓ	ℓ	X
ejpam-6166	169	3	l−1	l−1	PROPN
ejpam-6166	169	4	[	[	PUNCT
ejpam-6166	169	5	λ2	λ2	NOUN
ejpam-6166	169	6	(	(	PUNCT
ejpam-6166	169	7	p2d−	p2d−	NOUN
ejpam-6166	169	8	β2	β2	NOUN
ejpam-6166	169	9	(	(	PUNCT
ejpam-6166	169	10	∞∑	∞∑	PROPN
ejpam-6166	169	11	k=0	k=0	PROPN
ejpam-6166	169	12	ℓk	ℓk	CCONJ
ejpam-6166	169	13	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	169	14	)	)	PUNCT
ejpam-6166	169	15	)	)	PUNCT
ejpam-6166	170	1	−	−	PROPN
ejpam-6166	170	2	α2	α2	ADJ
ejpam-6166	170	3	(	(	PUNCT
ejpam-6166	170	4	∞∑	∞∑	NUM
ejpam-6166	170	5	k=0	k=0	PROPN
ejpam-6166	170	6	ℓk	ℓk	CCONJ
ejpam-6166	170	7	ψ3,k(t	ψ3,k(t	NOUN
ejpam-6166	170	8	)	)	PUNCT
ejpam-6166	170	9	)	)	PUNCT
ejpam-6166	170	10	)	)	PUNCT
ejpam-6166	171	1	(	(	PUNCT
ejpam-6166	171	2	∞∑	∞∑	X
ejpam-6166	171	3	k=0	k=0	PROPN
ejpam-6166	171	4	ℓk	ℓk	CCONJ
ejpam-6166	171	5	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	171	6	)	)	PUNCT
ejpam-6166	171	7	)	)	PUNCT
ejpam-6166	172	1	−	−	PROPN
ejpam-6166	172	2	κ	κ	NOUN
ejpam-6166	172	3	(	(	PUNCT
ejpam-6166	172	4	∞∑	∞∑	PROPN
ejpam-6166	172	5	k=0	k=0	PROPN
ejpam-6166	172	6	ℓk	ℓk	CCONJ
ejpam-6166	172	7	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	172	8	)	)	PUNCT
ejpam-6166	172	9	)	)	PUNCT
ejpam-6166	173	1	+	+	CCONJ
ejpam-6166	173	2	(	(	PUNCT
ejpam-6166	173	3	1−	1−	NUM
ejpam-6166	173	4	p)θ1	p)θ1	PROPN
ejpam-6166	173	5	(	(	PUNCT
ejpam-6166	173	6	∞∑	∞∑	NUM
ejpam-6166	173	7	k=0	k=0	PROPN
ejpam-6166	173	8	ℓk	ℓk	PRON
ejpam-6166	173	9	ψ1,k(t	ψ1,k(t	NOUN
ejpam-6166	173	10	)	)	PUNCT
ejpam-6166	173	11	)	)	PUNCT
ejpam-6166	173	12	(	(	PUNCT
ejpam-6166	173	13	∞∑	∞∑	NUM
ejpam-6166	173	14	k=0	k=0	PROPN
ejpam-6166	173	15	ℓk	ℓk	CCONJ
ejpam-6166	173	16	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	173	17	)	)	PUNCT
ejpam-6166	173	18	)	)	PUNCT
ejpam-6166	173	19	(	(	PUNCT
ejpam-6166	173	20	∞∑	∞∑	X
ejpam-6166	173	21	k=0	k=0	PROPN
ejpam-6166	173	22	ℓk	ℓk	PRON
ejpam-6166	173	23	ψ4,k(t	ψ4,k(t	NOUN
ejpam-6166	173	24	)	)	PUNCT
ejpam-6166	173	25	)	)	PUNCT
ejpam-6166	173	26	]	]	PUNCT
ejpam-6166	173	27	,	,	PUNCT
ejpam-6166	173	28	(	(	PUNCT
ejpam-6166	173	29	19	19	NUM
ejpam-6166	173	30	)	)	PUNCT
ejpam-6166	173	31	∞∑	∞∑	PROPN
ejpam-6166	173	32	k=0	k=0	PROPN
ejpam-6166	173	33	ℓk	ℓk	CCONJ
ejpam-6166	173	34	ψ3,k(t	ψ3,k(t	NOUN
ejpam-6166	173	35	)	)	PUNCT
ejpam-6166	173	36	=	=	SYM
ejpam-6166	173	37	ψ3(0)−	ψ3(0)−	PROPN
ejpam-6166	173	38	ℓ	ℓ	X
ejpam-6166	173	39	l−1	l−1	PROPN
ejpam-6166	173	40	(	(	PUNCT
ejpam-6166	173	41	∞∑	∞∑	DET
ejpam-6166	173	42	k=0	k=0	PUNCT
ejpam-6166	173	43	c3,k	c3,k	NOUN
ejpam-6166	173	44	tk(t	tk(t	NUM
ejpam-6166	173	45	)	)	PUNCT
ejpam-6166	173	46	)	)	PUNCT
ejpam-6166	174	1	+	+	CCONJ
ejpam-6166	174	2	l−1	l−1	NOUN
ejpam-6166	174	3	(	(	PUNCT
ejpam-6166	174	4	∞∑	∞∑	DET
ejpam-6166	174	5	k=0	k=0	PUNCT
ejpam-6166	174	6	c3,k	c3,k	NOUN
ejpam-6166	174	7	tk(t	tk(t	NUM
ejpam-6166	174	8	)	)	PUNCT
ejpam-6166	174	9	)	)	PUNCT
ejpam-6166	175	1	+	+	NUM
ejpam-6166	175	2	ℓ	ℓ	X
ejpam-6166	175	3	l−1	l−1	PROPN
ejpam-6166	175	4	[	[	PUNCT
ejpam-6166	175	5	σρ+	σρ+	ADJ
ejpam-6166	175	6	λ1	λ1	PROPN
ejpam-6166	175	7	(	(	PUNCT
ejpam-6166	175	8	p3	p3	PROPN
ejpam-6166	175	9	−	−	PROPN
ejpam-6166	175	10	β3	β3	PROPN
ejpam-6166	175	11	−	−	PROPN
ejpam-6166	175	12	α3	α3	NOUN
ejpam-6166	175	13	(	(	PUNCT
ejpam-6166	175	14	∞∑	∞∑	PRON
ejpam-6166	175	15	k=0	k=0	PROPN
ejpam-6166	175	16	ℓk	ℓk	CCONJ
ejpam-6166	175	17	ψ2,k(t	ψ2,k(t	NOUN
ejpam-6166	175	18	)	)	PUNCT
ejpam-6166	175	19	)	)	PUNCT
ejpam-6166	175	20	)	)	PUNCT
ejpam-6166	176	1	(	(	PUNCT
ejpam-6166	176	2	∞∑	∞∑	NUM
ejpam-6166	176	3	k=0	k=0	PROPN
ejpam-6166	176	4	ℓk	ℓk	CCONJ
ejpam-6166	176	5	ψ3,k(t	ψ3,k(t	NOUN
ejpam-6166	176	6	)	)	PUNCT
ejpam-6166	176	7	)	)	PUNCT
ejpam-6166	177	1	−	−	PROPN
ejpam-6166	177	2	(	(	PUNCT
ejpam-6166	177	3	1−	1−	NUM
ejpam-6166	177	4	p)θ2	p)θ2	PROPN
ejpam-6166	177	5	(	(	PUNCT
ejpam-6166	177	6	∞∑	∞∑	NUM
ejpam-6166	177	7	k=0	k=0	PROPN
ejpam-6166	177	8	ℓk	ℓk	CCONJ
ejpam-6166	177	9	ψ3,k(t	ψ3,k(t	NOUN
ejpam-6166	177	10	)	)	PUNCT
ejpam-6166	177	11	)	)	PUNCT
ejpam-6166	178	1	(	(	PUNCT
ejpam-6166	178	2	∞∑	∞∑	X
ejpam-6166	178	3	k=0	k=0	PROPN
ejpam-6166	178	4	ℓk	ℓk	PRON
ejpam-6166	178	5	ψ4,k(t	ψ4,k(t	NOUN
ejpam-6166	178	6	)	)	PUNCT
ejpam-6166	178	7	)	)	PUNCT
ejpam-6166	178	8	]	]	PUNCT
ejpam-6166	178	9	,	,	PUNCT
ejpam-6166	178	10	(	(	PUNCT
ejpam-6166	178	11	20	20	X
ejpam-6166	178	12	)	)	PUNCT
ejpam-6166	178	13	∞∑	∞∑	PROPN
ejpam-6166	178	14	k=0	k=0	PROPN
ejpam-6166	178	15	ℓk	ℓk	PRON
ejpam-6166	178	16	ψ4,k(t	ψ4,k(t	NOUN
ejpam-6166	178	17	)	)	PUNCT
ejpam-6166	178	18	=	=	SYM
ejpam-6166	179	1	ψ4(0)−	ψ4(0)−	NOUN
ejpam-6166	179	2	ℓ	ℓ	X
ejpam-6166	179	3	l−1	l−1	PROPN
ejpam-6166	179	4	(	(	PUNCT
ejpam-6166	179	5	∞∑	∞∑	PROPN
ejpam-6166	179	6	k=0	k=0	PROPN
ejpam-6166	179	7	c4,k	c4,k	PROPN
ejpam-6166	179	8	tk(t	tk(t	NOUN
ejpam-6166	179	9	)	)	PUNCT
ejpam-6166	179	10	)	)	PUNCT
ejpam-6166	180	1	+	+	CCONJ
ejpam-6166	180	2	l−1	l−1	NOUN
ejpam-6166	180	3	(	(	PUNCT
ejpam-6166	180	4	∞∑	∞∑	PROPN
ejpam-6166	180	5	k=0	k=0	PROPN
ejpam-6166	180	6	c4,k	c4,k	PROPN
ejpam-6166	180	7	tk(t	tk(t	NOUN
ejpam-6166	180	8	)	)	PUNCT
ejpam-6166	180	9	)	)	PUNCT
ejpam-6166	181	1	+	+	CCONJ
ejpam-6166	181	2	ℓ	ℓ	X
ejpam-6166	181	3	l−1	l−1	PROPN
ejpam-6166	181	4	[	[	PUNCT
ejpam-6166	181	5	α4	α4	NOUN
ejpam-6166	181	6	∞∑	∞∑	NUM
ejpam-6166	181	7	k=0	k=0	PROPN
ejpam-6166	181	8	ℓk	ℓk	PRON
ejpam-6166	181	9	ψ4,k(t	ψ4,k(t	NOUN
ejpam-6166	181	10	)	)	PUNCT
ejpam-6166	181	11	+	+	CCONJ
ejpam-6166	181	12	ϱ(1−	ϱ(1−	PROPN
ejpam-6166	181	13	p	p	X
ejpam-6166	181	14	)	)	PUNCT
ejpam-6166	181	15	]	]	PUNCT
ejpam-6166	181	16	.	.	PUNCT
ejpam-6166	182	1	(	(	PUNCT
ejpam-6166	182	2	21	21	NUM
ejpam-6166	182	3	)	)	PUNCT
ejpam-6166	182	4	step	step	NOUN
ejpam-6166	182	5	4	4	NUM
ejpam-6166	182	6	:	:	PUNCT
ejpam-6166	182	7	equaling	equal	VERB
ejpam-6166	182	8	the	the	DET
ejpam-6166	182	9	terms	term	NOUN
ejpam-6166	182	10	for	for	ADP
ejpam-6166	182	11	the	the	DET
ejpam-6166	182	12	equations	equation	NOUN
ejpam-6166	182	13	(	(	PUNCT
ejpam-6166	182	14	18)-(21	18)-(21	NUM
ejpam-6166	182	15	)	)	PUNCT
ejpam-6166	182	16	which	which	PRON
ejpam-6166	182	17	have	have	VERB
ejpam-6166	182	18	the	the	DET
ejpam-6166	182	19	same	same	ADJ
ejpam-6166	182	20	powers	power	NOUN
ejpam-6166	182	21	of	of	ADP
ejpam-6166	182	22	ℓ	ℓ	NOUN
ejpam-6166	182	23	:	:	PUNCT
ejpam-6166	182	24	ℓ0	ℓ0	ADV
ejpam-6166	182	25	:	:	PUNCT
ejpam-6166	182	26	ψj,0(t	ψj,0(t	VERB
ejpam-6166	182	27	)	)	PUNCT
ejpam-6166	182	28	=	=	SYM
ejpam-6166	182	29	ψj(0	ψj(0	PROPN
ejpam-6166	182	30	)	)	PUNCT
ejpam-6166	183	1	+	+	CCONJ
ejpam-6166	184	1	l−1	l−1	PROPN
ejpam-6166	184	2	(	(	PUNCT
ejpam-6166	184	3	∞∑	∞∑	PROPN
ejpam-6166	184	4	k=0	k=0	PROPN
ejpam-6166	184	5	cj	cj	PROPN
ejpam-6166	184	6	,	,	PUNCT
ejpam-6166	184	7	k	k	PROPN
ejpam-6166	184	8	tk(t	tk(t	NUM
ejpam-6166	184	9	)	)	PUNCT
ejpam-6166	184	10	)	)	PUNCT
ejpam-6166	184	11	,	,	PUNCT
ejpam-6166	184	12	m.	m.	NOUN
ejpam-6166	184	13	adel	adel	PROPN
ejpam-6166	184	14	,	,	PUNCT
ejpam-6166	184	15	m.	m.	NOUN
ejpam-6166	184	16	m.	m.	NOUN
ejpam-6166	184	17	khader	khader	PROPN
ejpam-6166	184	18	,	,	PUNCT
ejpam-6166	184	19	m.	m.	NOUN
ejpam-6166	184	20	messaoudi	messaoudi	PROPN
ejpam-6166	184	21	/	/	SYM
ejpam-6166	184	22	eur	eur	PROPN
ejpam-6166	184	23	.	.	PUNCT
ejpam-6166	185	1	j.	j.	PROPN
ejpam-6166	185	2	pure	pure	PROPN
ejpam-6166	185	3	appl	appl	PROPN
ejpam-6166	185	4	.	.	PROPN
ejpam-6166	185	5	math	math	PROPN
ejpam-6166	185	6	,	,	PUNCT
ejpam-6166	185	7	18	18	NUM
ejpam-6166	185	8	(	(	PUNCT
ejpam-6166	185	9	2	2	NUM
ejpam-6166	185	10	)	)	PUNCT
ejpam-6166	185	11	(	(	PUNCT
ejpam-6166	185	12	2025	2025	NUM
ejpam-6166	185	13	)	)	PUNCT
ejpam-6166	185	14	,	,	PUNCT
ejpam-6166	185	15	6166	6166	NUM
ejpam-6166	185	16	8	8	NUM
ejpam-6166	185	17	of	of	ADP
ejpam-6166	185	18	16	16	NUM
ejpam-6166	185	19	ℓ1	ℓ1	NOUN
ejpam-6166	185	20	:	:	PUNCT
ejpam-6166	185	21	ψ1,1(t	ψ1,1(t	X
ejpam-6166	185	22	)	)	PUNCT
ejpam-6166	185	23	=	=	SYM
ejpam-6166	185	24	−l−1	−l−1	NOUN
ejpam-6166	185	25	(	(	PUNCT
ejpam-6166	185	26	∞∑	∞∑	PRON
ejpam-6166	185	27	k=0	k=0	PROPN
ejpam-6166	185	28	c1,k	c1,k	PROPN
ejpam-6166	185	29	tk(t	tk(t	NOUN
ejpam-6166	185	30	)	)	PUNCT
ejpam-6166	185	31	)	)	PUNCT
ejpam-6166	186	1	+	+	CCONJ
ejpam-6166	186	2	l−1	l−1	PROPN
ejpam-6166	186	3	[	[	X
ejpam-6166	186	4	ψ1,0(t)λ1	ψ1,0(t)λ1	PROPN
ejpam-6166	186	5	(	(	PUNCT
ejpam-6166	186	6	p1	p1	PROPN
ejpam-6166	186	7	−	−	PROPN
ejpam-6166	186	8	β1ψ1,0(t)−	β1ψ1,0(t)−	PROPN
ejpam-6166	186	9	α1	α1	PROPN
ejpam-6166	186	10	ψ2,0(t))−	ψ2,0(t))−	CCONJ
ejpam-6166	186	11	(	(	PUNCT
ejpam-6166	186	12	1−	1−	NUM
ejpam-6166	186	13	p)θ1	p)θ1	PROPN
ejpam-6166	186	14	ψ1,0(t)ψ4,0(t	ψ1,0(t)ψ4,0(t	PROPN
ejpam-6166	186	15	)	)	PUNCT
ejpam-6166	186	16	]	]	PUNCT
ejpam-6166	186	17	,	,	PUNCT
ejpam-6166	186	18	ψ2,1(t	ψ2,1(t	PROPN
ejpam-6166	186	19	)	)	PUNCT
ejpam-6166	186	20	=	=	PUNCT
ejpam-6166	186	21	−l−1	−l−1	NOUN
ejpam-6166	186	22	(	(	PUNCT
ejpam-6166	186	23	∞∑	∞∑	DET
ejpam-6166	186	24	k=0	k=0	PROPN
ejpam-6166	186	25	c2,k	c2,k	PROPN
ejpam-6166	186	26	tk(t	tk(t	NOUN
ejpam-6166	186	27	)	)	PUNCT
ejpam-6166	186	28	)	)	PUNCT
ejpam-6166	187	1	+	+	CCONJ
ejpam-6166	187	2	l−1	l−1	NOUN
ejpam-6166	187	3	[	[	PUNCT
ejpam-6166	187	4	ψ2,0(t)λ2(p2d−	ψ2,0(t)λ2(p2d−	X
ejpam-6166	187	5	β2ψ2,0(t)−	β2ψ2,0(t)−	PROPN
ejpam-6166	187	6	α2ψ3,0(t))−	α2ψ3,0(t))−	NUM
ejpam-6166	187	7	κψ2,0(t	κψ2,0(t	PROPN
ejpam-6166	187	8	)	)	PUNCT
ejpam-6166	187	9	+	+	CCONJ
ejpam-6166	187	10	(	(	PUNCT
ejpam-6166	187	11	1−	1−	NUM
ejpam-6166	187	12	p)θ1ψ1,0(t)ψ2,0(t)ψ4,0(t	p)θ1ψ1,0(t)ψ2,0(t)ψ4,0(t	NOUN
ejpam-6166	187	13	)	)	PUNCT
ejpam-6166	187	14	]	]	PUNCT
ejpam-6166	187	15	,	,	PUNCT
ejpam-6166	187	16	ψ3,1(t	ψ3,1(t	PROPN
ejpam-6166	187	17	)	)	PUNCT
ejpam-6166	187	18	=	=	SYM
ejpam-6166	187	19	−l−1	−l−1	NOUN
ejpam-6166	187	20	(	(	PUNCT
ejpam-6166	187	21	∞∑	∞∑	DET
ejpam-6166	187	22	k=0	k=0	PUNCT
ejpam-6166	187	23	c3,k	c3,k	NOUN
ejpam-6166	187	24	tk(t	tk(t	NUM
ejpam-6166	187	25	)	)	PUNCT
ejpam-6166	187	26	)	)	PUNCT
ejpam-6166	188	1	+	+	CCONJ
ejpam-6166	189	1	l−1	l−1	NOUN
ejpam-6166	190	1	[	[	X
ejpam-6166	190	2	σρ+	σρ+	X
ejpam-6166	190	3	ψ3,0(t)λ1(p3	ψ3,0(t)λ1(p3	PUNCT
ejpam-6166	190	4	−	−	NOUN
ejpam-6166	190	5	β3	β3	VERB
ejpam-6166	190	6	−	−	PRON
ejpam-6166	190	7	α3ψ2,0(t))−	α3ψ2,0(t))−	NUM
ejpam-6166	190	8	(	(	PUNCT
ejpam-6166	190	9	1−	1−	NUM
ejpam-6166	190	10	p)θ2ψ3,0(t)ψ4,0(t	p)θ2ψ3,0(t)ψ4,0(t	NOUN
ejpam-6166	190	11	)	)	PUNCT
ejpam-6166	190	12	]	]	PUNCT
ejpam-6166	190	13	,	,	PUNCT
ejpam-6166	190	14	ψ4,1(t	ψ4,1(t	PROPN
ejpam-6166	190	15	)	)	PUNCT
ejpam-6166	190	16	=	=	SYM
ejpam-6166	190	17	−l−1	−l−1	NOUN
ejpam-6166	190	18	(	(	PUNCT
ejpam-6166	190	19	∞∑	∞∑	DET
ejpam-6166	190	20	k=0	k=0	PROPN
ejpam-6166	190	21	c4,k	c4,k	PROPN
ejpam-6166	190	22	tk(t	tk(t	NOUN
ejpam-6166	190	23	)	)	PUNCT
ejpam-6166	190	24	)	)	PUNCT
ejpam-6166	191	1	+	+	CCONJ
ejpam-6166	192	1	l−1	l−1	PROPN
ejpam-6166	192	2	[	[	X
ejpam-6166	192	3	α4ψ4,0(t	α4ψ4,0(t	NOUN
ejpam-6166	192	4	)	)	PUNCT
ejpam-6166	192	5	+	+	CCONJ
ejpam-6166	192	6	ϱ(1−	ϱ(1−	PROPN
ejpam-6166	192	7	p	p	X
ejpam-6166	192	8	)	)	PUNCT
ejpam-6166	192	9	]	]	PUNCT
ejpam-6166	192	10	,	,	PUNCT
ejpam-6166	192	11	(	(	PUNCT
ejpam-6166	192	12	22	22	NUM
ejpam-6166	192	13	)	)	PUNCT
ejpam-6166	192	14	and	and	CCONJ
ejpam-6166	192	15	so	so	ADV
ejpam-6166	192	16	on	on	ADV
ejpam-6166	192	17	.	.	PUNCT
ejpam-6166	193	1	step	step	NOUN
ejpam-6166	193	2	5	5	NUM
ejpam-6166	193	3	:	:	PUNCT
ejpam-6166	193	4	we	we	PRON
ejpam-6166	193	5	find	find	VERB
ejpam-6166	193	6	the	the	DET
ejpam-6166	193	7	values	value	NOUN
ejpam-6166	193	8	cj	cj	PROPN
ejpam-6166	193	9	,	,	PUNCT
ejpam-6166	193	10	k	k	PROPN
ejpam-6166	193	11	,	,	PUNCT
ejpam-6166	193	12	j	j	PROPN
ejpam-6166	194	1	=	=	SYM
ejpam-6166	194	2	1	1	NUM
ejpam-6166	194	3	,	,	PUNCT
ejpam-6166	194	4	2	2	NUM
ejpam-6166	194	5	,	,	PUNCT
ejpam-6166	194	6	3	3	NUM
ejpam-6166	194	7	,	,	PUNCT
ejpam-6166	194	8	4	4	NUM
ejpam-6166	194	9	by	by	ADP
ejpam-6166	194	10	assuming	assume	VERB
ejpam-6166	194	11	that	that	SCONJ
ejpam-6166	194	12	ψj,1(t	ψj,1(t	NOUN
ejpam-6166	194	13	)	)	PUNCT
ejpam-6166	195	1	=	=	SYM
ejpam-6166	195	2	0	0	X
ejpam-6166	195	3	.	.	PUNCT
ejpam-6166	196	1	therefore	therefore	ADV
ejpam-6166	196	2	,	,	PUNCT
ejpam-6166	196	3	the	the	DET
ejpam-6166	196	4	analytical	analytical	ADJ
ejpam-6166	196	5	approximate	approximate	ADJ
ejpam-6166	196	6	solution	solution	NOUN
ejpam-6166	196	7	of	of	ADP
ejpam-6166	196	8	ψj(t	ψj(t	PUNCT
ejpam-6166	196	9	)	)	PUNCT
ejpam-6166	196	10	becomes	become	VERB
ejpam-6166	196	11	as	as	SCONJ
ejpam-6166	196	12	follows	follow	VERB
ejpam-6166	196	13	:	:	PUNCT
ejpam-6166	196	14	ψj	ψj	ADV
ejpam-6166	196	15	,	,	PUNCT
ejpam-6166	196	16	m(t	m(t	NOUN
ejpam-6166	196	17	)	)	PUNCT
ejpam-6166	196	18	=	=	SYM
ejpam-6166	196	19	ψj,0(t	ψj,0(t	PROPN
ejpam-6166	196	20	)	)	PUNCT
ejpam-6166	196	21	=	=	SYM
ejpam-6166	196	22	ψj(0	ψj(0	PROPN
ejpam-6166	196	23	)	)	PUNCT
ejpam-6166	197	1	+	+	CCONJ
ejpam-6166	197	2	l−1	l−1	PROPN
ejpam-6166	197	3	(	(	PUNCT
ejpam-6166	197	4	m∑	m∑	CCONJ
ejpam-6166	197	5	k=0	k=0	PROPN
ejpam-6166	197	6	cj	cj	PROPN
ejpam-6166	197	7	,	,	PUNCT
ejpam-6166	197	8	k	k	PROPN
ejpam-6166	197	9	tk(t	tk(t	NUM
ejpam-6166	197	10	)	)	PUNCT
ejpam-6166	197	11	)	)	PUNCT
ejpam-6166	197	12	,	,	PUNCT
ejpam-6166	197	13	j	j	PROPN
ejpam-6166	197	14	=	=	SYM
ejpam-6166	197	15	1	1	NUM
ejpam-6166	197	16	,	,	PUNCT
ejpam-6166	197	17	2	2	NUM
ejpam-6166	197	18	,	,	PUNCT
ejpam-6166	197	19	3	3	NUM
ejpam-6166	197	20	,	,	PUNCT
ejpam-6166	197	21	4	4	NUM
ejpam-6166	197	22	.	.	PUNCT
ejpam-6166	197	23	(	(	PUNCT
ejpam-6166	197	24	23	23	NUM
ejpam-6166	197	25	)	)	PUNCT
ejpam-6166	197	26	it	it	PRON
ejpam-6166	197	27	should	should	AUX
ejpam-6166	197	28	be	be	AUX
ejpam-6166	197	29	noted	note	VERB
ejpam-6166	197	30	that	that	SCONJ
ejpam-6166	197	31	in	in	ADP
ejpam-6166	197	32	step	step	NOUN
ejpam-6166	197	33	5	5	NUM
ejpam-6166	197	34	,	,	PUNCT
ejpam-6166	197	35	the	the	DET
ejpam-6166	197	36	relations	relation	NOUN
ejpam-6166	197	37	(	(	PUNCT
ejpam-6166	197	38	derivation	derivation	NOUN
ejpam-6166	197	39	,	,	PUNCT
ejpam-6166	197	40	multiplication	multiplication	NOUN
ejpam-6166	197	41	,	,	PUNCT
ejpam-6166	197	42	integration	integration	NOUN
ejpam-6166	197	43	)	)	PUNCT
ejpam-6166	197	44	that	that	PRON
ejpam-6166	197	45	were	be	AUX
ejpam-6166	197	46	mentioned	mention	VERB
ejpam-6166	197	47	earlier	early	ADV
ejpam-6166	197	48	are	be	AUX
ejpam-6166	197	49	applied	apply	VERB
ejpam-6166	197	50	,	,	PUNCT
ejpam-6166	197	51	also	also	ADV
ejpam-6166	197	52	,	,	PUNCT
ejpam-6166	197	53	in	in	ADP
ejpam-6166	197	54	step	step	NOUN
ejpam-6166	197	55	5	5	NUM
ejpam-6166	197	56	,	,	PUNCT
ejpam-6166	197	57	the	the	DET
ejpam-6166	197	58	values	value	NOUN
ejpam-6166	197	59	of	of	ADP
ejpam-6166	197	60	cj	cj	NOUN
ejpam-6166	197	61	,	,	PUNCT
ejpam-6166	197	62	k	k	PROPN
ejpam-6166	197	63	,	,	PUNCT
ejpam-6166	197	64	k	k	PROPN
ejpam-6166	197	65	=	=	SYM
ejpam-6166	197	66	0	0	NUM
ejpam-6166	197	67	,	,	PUNCT
ejpam-6166	197	68	1	1	NUM
ejpam-6166	197	69	,	,	PUNCT
ejpam-6166	197	70	2	2	NUM
ejpam-6166	197	71	,	,	PUNCT
ejpam-6166	197	72	...	...	PUNCT
ejpam-6166	197	73	,	,	PUNCT
ejpam-6166	197	74	m	m	PROPN
ejpam-6166	197	75	;	;	PUNCT
ejpam-6166	197	76	j	j	PROPN
ejpam-6166	197	77	=	=	SYM
ejpam-6166	197	78	1	1	NUM
ejpam-6166	197	79	,	,	PUNCT
ejpam-6166	197	80	2	2	NUM
ejpam-6166	197	81	,	,	PUNCT
ejpam-6166	197	82	3	3	NUM
ejpam-6166	197	83	,	,	PUNCT
ejpam-6166	197	84	4	4	NUM
ejpam-6166	197	85	are	be	AUX
ejpam-6166	197	86	found	find	VERB
ejpam-6166	197	87	by	by	ADP
ejpam-6166	197	88	solving	solve	VERB
ejpam-6166	197	89	a	a	DET
ejpam-6166	197	90	system	system	NOUN
ejpam-6166	197	91	of	of	ADP
ejpam-6166	197	92	algebraic	algebraic	ADJ
ejpam-6166	197	93	equations	equation	NOUN
ejpam-6166	197	94	that	that	PRON
ejpam-6166	197	95	is	be	AUX
ejpam-6166	197	96	obtained	obtain	VERB
ejpam-6166	197	97	depending	depend	VERB
ejpam-6166	197	98	on	on	ADP
ejpam-6166	197	99	tk(t	tk(t	DET
ejpam-6166	197	100	)	)	PUNCT
ejpam-6166	197	101	coefficients	coefficient	NOUN
ejpam-6166	197	102	.	.	PUNCT
ejpam-6166	198	1	5	5	NUM
ejpam-6166	198	2	.	.	X
ejpam-6166	198	3	numerical	numerical	PROPN
ejpam-6166	198	4	simulation	simulation	PROPN
ejpam-6166	198	5	to	to	PART
ejpam-6166	198	6	see	see	VERB
ejpam-6166	198	7	how	how	SCONJ
ejpam-6166	198	8	accurate	accurate	ADJ
ejpam-6166	198	9	the	the	DET
ejpam-6166	198	10	numerical	numerical	ADJ
ejpam-6166	198	11	scheme	scheme	NOUN
ejpam-6166	198	12	is	be	AUX
ejpam-6166	198	13	,	,	PUNCT
ejpam-6166	198	14	we	we	PRON
ejpam-6166	198	15	run	run	VERB
ejpam-6166	198	16	simulations	simulation	NOUN
ejpam-6166	198	17	on	on	ADP
ejpam-6166	198	18	specific	specific	ADJ
ejpam-6166	198	19	models	model	NOUN
ejpam-6166	198	20	in	in	ADP
ejpam-6166	198	21	the	the	DET
ejpam-6166	198	22	range	range	NOUN
ejpam-6166	198	23	[	[	X
ejpam-6166	198	24	0	0	NUM
ejpam-6166	198	25	,	,	PUNCT
ejpam-6166	198	26	3	3	NUM
ejpam-6166	198	27	]	]	PUNCT
ejpam-6166	198	28	for	for	ADP
ejpam-6166	198	29	the	the	DET
ejpam-6166	198	30	problem	problem	NOUN
ejpam-6166	198	31	under	under	ADP
ejpam-6166	198	32	study	study	NOUN
ejpam-6166	198	33	(	(	PUNCT
ejpam-6166	198	34	1	1	NUM
ejpam-6166	198	35	)	)	PUNCT
ejpam-6166	198	36	.	.	PUNCT
ejpam-6166	199	1	the	the	DET
ejpam-6166	199	2	behavior	behavior	NOUN
ejpam-6166	199	3	of	of	ADP
ejpam-6166	199	4	ψk(t	ψk(t	X
ejpam-6166	199	5	)	)	PUNCT
ejpam-6166	199	6	for	for	ADP
ejpam-6166	199	7	k	k	PROPN
ejpam-6166	199	8	=	=	SYM
ejpam-6166	199	9	1	1	NUM
ejpam-6166	199	10	,	,	PUNCT
ejpam-6166	199	11	2	2	NUM
ejpam-6166	199	12	,	,	PUNCT
ejpam-6166	199	13	3	3	NUM
ejpam-6166	199	14	,	,	PUNCT
ejpam-6166	199	15	4	4	NUM
ejpam-6166	199	16	is	be	AUX
ejpam-6166	199	17	illustrated	illustrate	VERB
ejpam-6166	199	18	in	in	ADP
ejpam-6166	199	19	figures	figure	NOUN
ejpam-6166	199	20	1	1	NUM
ejpam-6166	199	21	-	-	SYM
ejpam-6166	199	22	5	5	NUM
ejpam-6166	199	23	at	at	ADP
ejpam-6166	199	24	various	various	ADJ
ejpam-6166	199	25	parameter	parameter	NOUN
ejpam-6166	199	26	values	value	NOUN
ejpam-6166	199	27	p	p	X
ejpam-6166	199	28	,	,	PUNCT
ejpam-6166	199	29	m	m	PROPN
ejpam-6166	199	30	,	,	PUNCT
ejpam-6166	199	31	ϱ.	ϱ.	NOUN
ejpam-6166	199	32	we	we	PRON
ejpam-6166	199	33	examine	examine	VERB
ejpam-6166	199	34	the	the	DET
ejpam-6166	199	35	current	current	ADJ
ejpam-6166	199	36	model	model	NOUN
ejpam-6166	199	37	(	(	PUNCT
ejpam-6166	199	38	1	1	NUM
ejpam-6166	199	39	)	)	PUNCT
ejpam-6166	199	40	with	with	ADP
ejpam-6166	199	41	the	the	DET
ejpam-6166	199	42	subsequent	subsequent	ADJ
ejpam-6166	199	43	parameter	parameter	NOUN
ejpam-6166	199	44	values	value	NOUN
ejpam-6166	199	45	[	[	X
ejpam-6166	199	46	34	34	NUM
ejpam-6166	199	47	]	]	X
ejpam-6166	199	48	:	:	PUNCT
ejpam-6166	199	49	θ1	θ1	NOUN
ejpam-6166	199	50	=	=	SYM
ejpam-6166	199	51	0.2	0.2	NUM
ejpam-6166	199	52	,	,	PUNCT
ejpam-6166	199	53	θ2	θ2	ADV
ejpam-6166	199	54	=	=	NOUN
ejpam-6166	199	55	0.02	0.02	NUM
ejpam-6166	199	56	,	,	PUNCT
ejpam-6166	199	57	λ1	λ1	PROPN
ejpam-6166	199	58	=	=	SYM
ejpam-6166	199	59	0.3	0.3	NUM
ejpam-6166	199	60	,	,	PUNCT
ejpam-6166	199	61	λ2	λ2	NOUN
ejpam-6166	199	62	=	=	PUNCT
ejpam-6166	199	63	0.4	0.4	NUM
ejpam-6166	199	64	,	,	PUNCT
ejpam-6166	199	65	d	d	X
ejpam-6166	199	66	=	=	SYM
ejpam-6166	199	67	0.5	0.5	NUM
ejpam-6166	199	68	,	,	PUNCT
ejpam-6166	199	69	α1	α1	PROPN
ejpam-6166	199	70	=	=	SYM
ejpam-6166	199	71	6×	6×	NOUN
ejpam-6166	199	72	10−8	10−8	NUM
ejpam-6166	199	73	,	,	PUNCT
ejpam-6166	199	74	α2	α2	PROPN
ejpam-6166	199	75	=	=	SYM
ejpam-6166	199	76	3×	3×	NUM
ejpam-6166	199	77	10−7	10−7	NUM
ejpam-6166	199	78	,	,	PUNCT
ejpam-6166	199	79	α3	α3	PROPN
ejpam-6166	199	80	=	=	SYM
ejpam-6166	199	81	1×10−7	1×10−7	NUM
ejpam-6166	199	82	,	,	PUNCT
ejpam-6166	199	83	α4	α4	NOUN
ejpam-6166	199	84	=	=	SYM
ejpam-6166	199	85	0.97	0.97	NUM
ejpam-6166	199	86	,	,	PUNCT
ejpam-6166	199	87	ρ	ρ	PROPN
ejpam-6166	199	88	=	=	NOUN
ejpam-6166	199	89	0.01	0.01	NUM
ejpam-6166	199	90	,	,	PUNCT
ejpam-6166	199	91	κ	κ	X
ejpam-6166	199	92	=	=	SYM
ejpam-6166	199	93	2	2	NUM
ejpam-6166	199	94	,	,	PUNCT
ejpam-6166	199	95	β1	β1	PROPN
ejpam-6166	199	96	=	=	PUNCT
ejpam-6166	199	97	0.15	0.15	NUM
ejpam-6166	199	98	,	,	PUNCT
ejpam-6166	199	99	β2	β2	NOUN
ejpam-6166	199	100	=	=	NOUN
ejpam-6166	199	101	0.7	0.7	NUM
ejpam-6166	199	102	,	,	PUNCT
ejpam-6166	199	103	β3	β3	ADJ
ejpam-6166	199	104	=	=	NOUN
ejpam-6166	199	105	0.1	0.1	NUM
ejpam-6166	199	106	,	,	PUNCT
ejpam-6166	199	107	p	p	NOUN
ejpam-6166	199	108	=	=	NOUN
ejpam-6166	199	109	0.5	0.5	NUM
ejpam-6166	199	110	,	,	PUNCT
ejpam-6166	199	111	σ	σ	NOUN
ejpam-6166	199	112	=	=	SYM
ejpam-6166	199	113	0.1	0.1	NUM
ejpam-6166	199	114	,	,	PUNCT
ejpam-6166	199	115	p1	p1	NOUN
ejpam-6166	199	116	=	=	NOUN
ejpam-6166	199	117	0.1	0.1	NUM
ejpam-6166	199	118	,	,	PUNCT
ejpam-6166	199	119	p2	p2	X
ejpam-6166	199	120	=	=	SYM
ejpam-6166	199	121	0.2	0.2	NUM
ejpam-6166	199	122	,	,	PUNCT
ejpam-6166	199	123	p3	p3	PROPN
ejpam-6166	199	124	=	=	PUNCT
ejpam-6166	199	125	0.3	0.3	NUM
ejpam-6166	199	126	,	,	PUNCT
ejpam-6166	199	127	ϱ	ϱ	X
ejpam-6166	199	128	=	=	SYM
ejpam-6166	199	129	0.8	0.8	NUM
ejpam-6166	199	130	.	.	PUNCT
ejpam-6166	200	1	the	the	DET
ejpam-6166	200	2	i.cs	i.cs	PROPN
ejpam-6166	200	3	are	be	AUX
ejpam-6166	200	4	ψi(0	ψi(0	PROPN
ejpam-6166	200	5	)	)	PUNCT
ejpam-6166	200	6	=	=	PUNCT
ejpam-6166	200	7	0.2	0.2	NUM
ejpam-6166	200	8	for	for	ADP
ejpam-6166	200	9	i	i	PRON
ejpam-6166	200	10	=	=	NOUN
ejpam-6166	200	11	1	1	NUM
ejpam-6166	200	12	,	,	PUNCT
ejpam-6166	200	13	2	2	NUM
ejpam-6166	200	14	,	,	PUNCT
ejpam-6166	200	15	3	3	NUM
ejpam-6166	200	16	,	,	PUNCT
ejpam-6166	200	17	4	4	NUM
ejpam-6166	200	18	.	.	PUNCT
ejpam-6166	201	1	the	the	DET
ejpam-6166	201	2	numerical	numerical	PROPN
ejpam-6166	201	3	simulation	simulation	NOUN
ejpam-6166	201	4	of	of	ADP
ejpam-6166	201	5	the	the	DET
ejpam-6166	201	6	examined	examine	VERB
ejpam-6166	201	7	model	model	NOUN
ejpam-6166	201	8	utilizing	utilize	VERB
ejpam-6166	201	9	the	the	DET
ejpam-6166	201	10	specified	specify	VERB
ejpam-6166	201	11	methodology	methodology	NOUN
ejpam-6166	201	12	is	be	AUX
ejpam-6166	201	13	illustrated	illustrate	VERB
ejpam-6166	201	14	in	in	ADP
ejpam-6166	201	15	figures	figure	NOUN
ejpam-6166	201	16	1	1	NUM
ejpam-6166	201	17	-	-	SYM
ejpam-6166	201	18	5	5	NUM
ejpam-6166	201	19	.	.	NOUN
ejpam-6166	201	20	1	1	NUM
ejpam-6166	201	21	.	.	X
ejpam-6166	201	22	figure	figure	NOUN
ejpam-6166	201	23	1	1	NUM
ejpam-6166	201	24	presents	present	VERB
ejpam-6166	201	25	the	the	DET
ejpam-6166	201	26	numerical	numerical	ADJ
ejpam-6166	201	27	solution	solution	NOUN
ejpam-6166	201	28	for	for	ADP
ejpam-6166	201	29	several	several	ADJ
ejpam-6166	201	30	quantities	quantity	NOUN
ejpam-6166	201	31	of	of	ADP
ejpam-6166	201	32	the	the	DET
ejpam-6166	201	33	approximation	approximation	NOUN
ejpam-6166	201	34	order	order	NOUN
ejpam-6166	201	35	m	m	NOUN
ejpam-6166	201	36	=	=	SYM
ejpam-6166	201	37	5	5	NUM
ejpam-6166	201	38	,	,	PUNCT
ejpam-6166	201	39	10	10	NUM
ejpam-6166	201	40	,	,	PUNCT
ejpam-6166	201	41	15	15	NUM
ejpam-6166	201	42	.	.	PUNCT
ejpam-6166	201	43	m.	m.	NOUN
ejpam-6166	201	44	adel	adel	PROPN
ejpam-6166	201	45	,	,	PUNCT
ejpam-6166	201	46	m.	m.	NOUN
ejpam-6166	201	47	m.	m.	NOUN
ejpam-6166	201	48	khader	khader	PROPN
ejpam-6166	201	49	,	,	PUNCT
ejpam-6166	201	50	m.	m.	NOUN
ejpam-6166	201	51	messaoudi	messaoudi	PROPN
ejpam-6166	201	52	/	/	SYM
ejpam-6166	201	53	eur	eur	PROPN
ejpam-6166	201	54	.	.	PUNCT
ejpam-6166	202	1	j.	j.	PROPN
ejpam-6166	202	2	pure	pure	PROPN
ejpam-6166	202	3	appl	appl	PROPN
ejpam-6166	202	4	.	.	PROPN
ejpam-6166	202	5	math	math	PROPN
ejpam-6166	202	6	,	,	PUNCT
ejpam-6166	202	7	18	18	NUM
ejpam-6166	202	8	(	(	PUNCT
ejpam-6166	202	9	2	2	NUM
ejpam-6166	202	10	)	)	PUNCT
ejpam-6166	202	11	(	(	PUNCT
ejpam-6166	202	12	2025	2025	NUM
ejpam-6166	202	13	)	)	PUNCT
ejpam-6166	202	14	,	,	PUNCT
ejpam-6166	202	15	6166	6166	NUM
ejpam-6166	202	16	9	9	NUM
ejpam-6166	202	17	of	of	ADP
ejpam-6166	202	18	16	16	NUM
ejpam-6166	202	19	2	2	NUM
ejpam-6166	202	20	.	.	PUNCT
ejpam-6166	202	21	figure	figure	NOUN
ejpam-6166	202	22	2	2	NUM
ejpam-6166	202	23	illustrates	illustrate	VERB
ejpam-6166	202	24	the	the	DET
ejpam-6166	202	25	numerical	numerical	ADJ
ejpam-6166	202	26	solution	solution	NOUN
ejpam-6166	202	27	for	for	ADP
ejpam-6166	202	28	various	various	ADJ
ejpam-6166	202	29	values	value	NOUN
ejpam-6166	202	30	of	of	ADP
ejpam-6166	202	31	ϱ	ϱ	NOUN
ejpam-6166	202	32	=	=	SYM
ejpam-6166	202	33	0.8	0.8	NUM
ejpam-6166	202	34	,	,	PUNCT
ejpam-6166	202	35	1.4	1.4	NUM
ejpam-6166	202	36	,	,	PUNCT
ejpam-6166	202	37	2.0	2.0	NUM
ejpam-6166	202	38	,	,	PUNCT
ejpam-6166	202	39	2.6	2.6	NUM
ejpam-6166	202	40	.	.	NOUN
ejpam-6166	203	1	3	3	X
ejpam-6166	203	2	.	.	X
ejpam-6166	203	3	figure	figure	NOUN
ejpam-6166	203	4	3	3	NUM
ejpam-6166	203	5	illustrates	illustrate	VERB
ejpam-6166	203	6	the	the	DET
ejpam-6166	203	7	influence	influence	NOUN
ejpam-6166	203	8	of	of	ADP
ejpam-6166	203	9	p	p	NOUN
ejpam-6166	203	10	=	=	PROPN
ejpam-6166	203	11	0.25	0.25	NUM
ejpam-6166	203	12	,	,	PUNCT
ejpam-6166	203	13	0.5	0.5	NUM
ejpam-6166	203	14	,	,	PUNCT
ejpam-6166	203	15	0.75	0.75	NUM
ejpam-6166	203	16	,	,	PUNCT
ejpam-6166	203	17	1.0	1.0	NUM
ejpam-6166	203	18	on	on	ADP
ejpam-6166	203	19	the	the	DET
ejpam-6166	203	20	numerical	numerical	ADJ
ejpam-6166	203	21	solution	solution	NOUN
ejpam-6166	203	22	.	.	PUNCT
ejpam-6166	204	1	4	4	X
ejpam-6166	204	2	.	.	X
ejpam-6166	204	3	figure	figure	NOUN
ejpam-6166	204	4	4	4	NUM
ejpam-6166	204	5	shows	show	VERB
ejpam-6166	204	6	a	a	DET
ejpam-6166	204	7	comparison	comparison	NOUN
ejpam-6166	204	8	between	between	ADP
ejpam-6166	204	9	the	the	DET
ejpam-6166	204	10	proposed	propose	VERB
ejpam-6166	204	11	method	method	NOUN
ejpam-6166	204	12	’s	’s	PART
ejpam-6166	204	13	solution	solution	NOUN
ejpam-6166	204	14	and	and	CCONJ
ejpam-6166	204	15	the	the	DET
ejpam-6166	204	16	numerical	numerical	ADJ
ejpam-6166	204	17	solution	solution	NOUN
ejpam-6166	204	18	found	find	VERB
ejpam-6166	204	19	by	by	ADP
ejpam-6166	204	20	the	the	DET
ejpam-6166	204	21	rk4	rk4	PROPN
ejpam-6166	204	22	method	method	NOUN
ejpam-6166	204	23	[	[	X
ejpam-6166	204	24	35	35	NUM
ejpam-6166	204	25	]	]	SYM
ejpam-6166	204	26	,	,	PUNCT
ejpam-6166	204	27	where	where	SCONJ
ejpam-6166	204	28	the	the	DET
ejpam-6166	204	29	initial	initial	ADJ
ejpam-6166	204	30	conditions	condition	NOUN
ejpam-6166	204	31	and	and	CCONJ
ejpam-6166	204	32	parameters	parameter	NOUN
ejpam-6166	204	33	were	be	AUX
ejpam-6166	204	34	kept	keep	VERB
ejpam-6166	204	35	the	the	DET
ejpam-6166	204	36	same	same	ADJ
ejpam-6166	204	37	.	.	PUNCT
ejpam-6166	205	1	5	5	X
ejpam-6166	205	2	.	.	X
ejpam-6166	205	3	figure	figure	NOUN
ejpam-6166	205	4	5	5	NUM
ejpam-6166	205	5	illustrates	illustrate	VERB
ejpam-6166	205	6	the	the	DET
ejpam-6166	205	7	residual	residual	ADJ
ejpam-6166	205	8	error	error	NOUN
ejpam-6166	205	9	function	function	NOUN
ejpam-6166	205	10	(	(	PUNCT
ejpam-6166	205	11	ref	ref	NOUN
ejpam-6166	205	12	)	)	PUNCT
ejpam-6166	206	1	[	[	X
ejpam-6166	206	2	36	36	NUM
ejpam-6166	206	3	]	]	PUNCT
ejpam-6166	206	4	of	of	ADP
ejpam-6166	206	5	the	the	DET
ejpam-6166	206	6	derived	derived	ADJ
ejpam-6166	206	7	approximation	approximation	NOUN
ejpam-6166	206	8	solution	solution	NOUN
ejpam-6166	206	9	.	.	PUNCT
ejpam-6166	207	1	the	the	DET
ejpam-6166	207	2	conduct	conduct	NOUN
ejpam-6166	207	3	of	of	ADP
ejpam-6166	207	4	the	the	DET
ejpam-6166	207	5	numerical	numerical	ADJ
ejpam-6166	207	6	solution	solution	NOUN
ejpam-6166	207	7	is	be	AUX
ejpam-6166	207	8	contingent	contingent	ADJ
ejpam-6166	207	9	upon	upon	SCONJ
ejpam-6166	207	10	m	m	PROPN
ejpam-6166	207	11	,	,	PUNCT
ejpam-6166	207	12	ϱ	ϱ	ADP
ejpam-6166	207	13	,	,	PUNCT
ejpam-6166	207	14	p	p	X
ejpam-6166	207	15	,	,	PUNCT
ejpam-6166	207	16	as	as	SCONJ
ejpam-6166	207	17	seen	see	VERB
ejpam-6166	207	18	in	in	ADP
ejpam-6166	207	19	figures	figure	NOUN
ejpam-6166	207	20	1	1	NUM
ejpam-6166	207	21	-	-	SYM
ejpam-6166	207	22	3	3	NUM
ejpam-6166	207	23	.	.	PUNCT
ejpam-6166	207	24	figures	figure	NOUN
ejpam-6166	207	25	2	2	NUM
ejpam-6166	207	26	and	and	CCONJ
ejpam-6166	207	27	3	3	NUM
ejpam-6166	207	28	indicate	indicate	VERB
ejpam-6166	207	29	that	that	SCONJ
ejpam-6166	207	30	the	the	DET
ejpam-6166	207	31	solution	solution	NOUN
ejpam-6166	207	32	’s	’s	PART
ejpam-6166	207	33	behavior	behavior	NOUN
ejpam-6166	207	34	aligns	align	VERB
ejpam-6166	207	35	with	with	ADP
ejpam-6166	207	36	the	the	DET
ejpam-6166	207	37	inherent	inherent	ADJ
ejpam-6166	207	38	influence	influence	NOUN
ejpam-6166	207	39	of	of	ADP
ejpam-6166	207	40	the	the	DET
ejpam-6166	207	41	parameters	parameter	NOUN
ejpam-6166	207	42	ϱ	ϱ	ADP
ejpam-6166	207	43	and	and	CCONJ
ejpam-6166	207	44	p.	p.	NOUN
ejpam-6166	207	45	figures	figure	NOUN
ejpam-6166	207	46	4	4	NUM
ejpam-6166	207	47	and	and	CCONJ
ejpam-6166	207	48	5	5	NUM
ejpam-6166	207	49	indicate	indicate	VERB
ejpam-6166	207	50	that	that	SCONJ
ejpam-6166	207	51	the	the	DET
ejpam-6166	207	52	proposed	propose	VERB
ejpam-6166	207	53	strategy	strategy	NOUN
ejpam-6166	207	54	has	have	AUX
ejpam-6166	207	55	been	be	AUX
ejpam-6166	207	56	effectively	effectively	ADV
ejpam-6166	207	57	utilized	utilize	VERB
ejpam-6166	207	58	to	to	PART
ejpam-6166	207	59	address	address	VERB
ejpam-6166	207	60	the	the	DET
ejpam-6166	207	61	problem	problem	NOUN
ejpam-6166	207	62	under	under	ADP
ejpam-6166	207	63	investigation	investigation	NOUN
ejpam-6166	207	64	.	.	PUNCT
ejpam-6166	208	1	as	as	ADP
ejpam-6166	208	2	a	a	DET
ejpam-6166	208	3	result	result	NOUN
ejpam-6166	208	4	,	,	PUNCT
ejpam-6166	208	5	we	we	PRON
ejpam-6166	208	6	can	can	AUX
ejpam-6166	208	7	confirm	confirm	VERB
ejpam-6166	208	8	that	that	SCONJ
ejpam-6166	208	9	the	the	DET
ejpam-6166	208	10	disease	disease	NOUN
ejpam-6166	208	11	behaved	behave	VERB
ejpam-6166	208	12	as	as	SCONJ
ejpam-6166	208	13	expected	expect	VERB
ejpam-6166	208	14	.	.	PUNCT
ejpam-6166	209	1	this	this	PRON
ejpam-6166	209	2	means	mean	VERB
ejpam-6166	209	3	that	that	SCONJ
ejpam-6166	209	4	we	we	PRON
ejpam-6166	209	5	obtained	obtain	VERB
ejpam-6166	209	6	an	an	DET
ejpam-6166	209	7	accurate	accurate	ADJ
ejpam-6166	209	8	simulation	simulation	NOUN
ejpam-6166	209	9	of	of	ADP
ejpam-6166	209	10	the	the	DET
ejpam-6166	209	11	system	system	NOUN
ejpam-6166	209	12	that	that	PRON
ejpam-6166	209	13	the	the	DET
ejpam-6166	209	14	relevant	relevant	ADJ
ejpam-6166	209	15	authorities	authority	NOUN
ejpam-6166	209	16	can	can	AUX
ejpam-6166	209	17	use	use	VERB
ejpam-6166	209	18	to	to	PART
ejpam-6166	209	19	treat	treat	VERB
ejpam-6166	209	20	this	this	DET
ejpam-6166	209	21	deadly	deadly	ADJ
ejpam-6166	209	22	cancer	cancer	NOUN
ejpam-6166	209	23	.	.	PUNCT
ejpam-6166	210	1	figure	figure	NOUN
ejpam-6166	210	2	1	1	NUM
ejpam-6166	210	3	.	.	PUNCT
ejpam-6166	211	1	the	the	DET
ejpam-6166	211	2	approximate	approximate	ADJ
ejpam-6166	211	3	solution	solution	NOUN
ejpam-6166	211	4	via	via	ADP
ejpam-6166	211	5	various	various	ADJ
ejpam-6166	211	6	values	value	NOUN
ejpam-6166	211	7	of	of	ADP
ejpam-6166	211	8	m.	m.	NOUN
ejpam-6166	211	9	m.	m.	PROPN
ejpam-6166	211	10	adel	adel	PROPN
ejpam-6166	211	11	,	,	PUNCT
ejpam-6166	211	12	m.	m.	NOUN
ejpam-6166	211	13	m.	m.	NOUN
ejpam-6166	211	14	khader	khader	PROPN
ejpam-6166	211	15	,	,	PUNCT
ejpam-6166	211	16	m.	m.	NOUN
ejpam-6166	211	17	messaoudi	messaoudi	PROPN
ejpam-6166	211	18	/	/	SYM
ejpam-6166	211	19	eur	eur	PROPN
ejpam-6166	211	20	.	.	PUNCT
ejpam-6166	212	1	j.	j.	PROPN
ejpam-6166	212	2	pure	pure	PROPN
ejpam-6166	212	3	appl	appl	PROPN
ejpam-6166	212	4	.	.	PROPN
ejpam-6166	212	5	math	math	PROPN
ejpam-6166	212	6	,	,	PUNCT
ejpam-6166	212	7	18	18	NUM
ejpam-6166	212	8	(	(	PUNCT
ejpam-6166	212	9	2	2	NUM
ejpam-6166	212	10	)	)	PUNCT
ejpam-6166	212	11	(	(	PUNCT
ejpam-6166	212	12	2025	2025	NUM
ejpam-6166	212	13	)	)	PUNCT
ejpam-6166	212	14	,	,	PUNCT
ejpam-6166	212	15	6166	6166	NUM
ejpam-6166	212	16	10	10	NUM
ejpam-6166	212	17	of	of	ADP
ejpam-6166	212	18	16	16	NUM
ejpam-6166	212	19	figure	figure	NOUN
ejpam-6166	212	20	2	2	NUM
ejpam-6166	212	21	.	.	PUNCT
ejpam-6166	213	1	the	the	DET
ejpam-6166	213	2	approximate	approximate	ADJ
ejpam-6166	213	3	solution	solution	NOUN
ejpam-6166	213	4	via	via	ADP
ejpam-6166	213	5	various	various	ADJ
ejpam-6166	213	6	values	value	NOUN
ejpam-6166	213	7	of	of	ADP
ejpam-6166	213	8	ϱ.	ϱ.	PROPN
ejpam-6166	213	9	m.	m.	PROPN
ejpam-6166	213	10	adel	adel	PROPN
ejpam-6166	213	11	,	,	PUNCT
ejpam-6166	213	12	m.	m.	NOUN
ejpam-6166	213	13	m.	m.	NOUN
ejpam-6166	213	14	khader	khader	PROPN
ejpam-6166	213	15	,	,	PUNCT
ejpam-6166	213	16	m.	m.	NOUN
ejpam-6166	213	17	messaoudi	messaoudi	PROPN
ejpam-6166	213	18	/	/	SYM
ejpam-6166	213	19	eur	eur	PROPN
ejpam-6166	213	20	.	.	PUNCT
ejpam-6166	214	1	j.	j.	PROPN
ejpam-6166	214	2	pure	pure	PROPN
ejpam-6166	214	3	appl	appl	PROPN
ejpam-6166	214	4	.	.	PROPN
ejpam-6166	214	5	math	math	PROPN
ejpam-6166	214	6	,	,	PUNCT
ejpam-6166	214	7	18	18	NUM
ejpam-6166	214	8	(	(	PUNCT
ejpam-6166	214	9	2	2	NUM
ejpam-6166	214	10	)	)	PUNCT
ejpam-6166	214	11	(	(	PUNCT
ejpam-6166	214	12	2025	2025	NUM
ejpam-6166	214	13	)	)	PUNCT
ejpam-6166	214	14	,	,	PUNCT
ejpam-6166	214	15	6166	6166	NUM
ejpam-6166	214	16	11	11	NUM
ejpam-6166	214	17	of	of	ADP
ejpam-6166	214	18	16	16	NUM
ejpam-6166	214	19	figure	figure	NOUN
ejpam-6166	214	20	3	3	NUM
ejpam-6166	214	21	.	.	PUNCT
ejpam-6166	215	1	the	the	DET
ejpam-6166	215	2	approximate	approximate	ADJ
ejpam-6166	215	3	solution	solution	NOUN
ejpam-6166	215	4	via	via	ADP
ejpam-6166	215	5	various	various	ADJ
ejpam-6166	215	6	values	value	NOUN
ejpam-6166	215	7	of	of	ADP
ejpam-6166	215	8	p.	p.	PROPN
ejpam-6166	215	9	m.	m.	PROPN
ejpam-6166	215	10	adel	adel	PROPN
ejpam-6166	215	11	,	,	PUNCT
ejpam-6166	215	12	m.	m.	NOUN
ejpam-6166	215	13	m.	m.	NOUN
ejpam-6166	215	14	khader	khader	PROPN
ejpam-6166	215	15	,	,	PUNCT
ejpam-6166	215	16	m.	m.	NOUN
ejpam-6166	215	17	messaoudi	messaoudi	PROPN
ejpam-6166	215	18	/	/	SYM
ejpam-6166	215	19	eur	eur	PROPN
ejpam-6166	215	20	.	.	PUNCT
ejpam-6166	216	1	j.	j.	PROPN
ejpam-6166	216	2	pure	pure	PROPN
ejpam-6166	216	3	appl	appl	PROPN
ejpam-6166	216	4	.	.	PROPN
ejpam-6166	216	5	math	math	PROPN
ejpam-6166	216	6	,	,	PUNCT
ejpam-6166	216	7	18	18	NUM
ejpam-6166	216	8	(	(	PUNCT
ejpam-6166	216	9	2	2	NUM
ejpam-6166	216	10	)	)	PUNCT
ejpam-6166	216	11	(	(	PUNCT
ejpam-6166	216	12	2025	2025	NUM
ejpam-6166	216	13	)	)	PUNCT
ejpam-6166	216	14	,	,	PUNCT
ejpam-6166	216	15	6166	6166	NUM
ejpam-6166	216	16	12	12	NUM
ejpam-6166	216	17	of	of	ADP
ejpam-6166	216	18	16	16	NUM
ejpam-6166	216	19	figure	figure	NOUN
ejpam-6166	216	20	4	4	NUM
ejpam-6166	216	21	.	.	NOUN
ejpam-6166	216	22	comparison	comparison	NOUN
ejpam-6166	216	23	of	of	ADP
ejpam-6166	216	24	the	the	DET
ejpam-6166	216	25	solution	solution	NOUN
ejpam-6166	216	26	obtained	obtain	VERB
ejpam-6166	216	27	by	by	ADP
ejpam-6166	216	28	the	the	DET
ejpam-6166	216	29	proposed	propose	VERB
ejpam-6166	216	30	method	method	NOUN
ejpam-6166	216	31	and	and	CCONJ
ejpam-6166	216	32	rk4	rk4	NOUN
ejpam-6166	216	33	m.	m.	NOUN
ejpam-6166	216	34	m.	m.	PROPN
ejpam-6166	216	35	adel	adel	PROPN
ejpam-6166	216	36	,	,	PUNCT
ejpam-6166	216	37	m.	m.	NOUN
ejpam-6166	216	38	m.	m.	NOUN
ejpam-6166	216	39	khader	khader	PROPN
ejpam-6166	216	40	,	,	PUNCT
ejpam-6166	216	41	m.	m.	NOUN
ejpam-6166	216	42	messaoudi	messaoudi	PROPN
ejpam-6166	216	43	/	/	SYM
ejpam-6166	216	44	eur	eur	PROPN
ejpam-6166	216	45	.	.	PUNCT
ejpam-6166	217	1	j.	j.	PROPN
ejpam-6166	217	2	pure	pure	PROPN
ejpam-6166	217	3	appl	appl	PROPN
ejpam-6166	217	4	.	.	PROPN
ejpam-6166	217	5	math	math	PROPN
ejpam-6166	217	6	,	,	PUNCT
ejpam-6166	217	7	18	18	NUM
ejpam-6166	217	8	(	(	PUNCT
ejpam-6166	217	9	2	2	NUM
ejpam-6166	217	10	)	)	PUNCT
ejpam-6166	217	11	(	(	PUNCT
ejpam-6166	217	12	2025	2025	NUM
ejpam-6166	217	13	)	)	PUNCT
ejpam-6166	217	14	,	,	PUNCT
ejpam-6166	217	15	6166	6166	NUM
ejpam-6166	217	16	13	13	NUM
ejpam-6166	217	17	of	of	ADP
ejpam-6166	217	18	16	16	NUM
ejpam-6166	217	19	figure	figure	NOUN
ejpam-6166	217	20	5	5	NUM
ejpam-6166	217	21	.	.	PUNCT
ejpam-6166	218	1	the	the	DET
ejpam-6166	218	2	ref	ref	NOUN
ejpam-6166	218	3	of	of	ADP
ejpam-6166	218	4	the	the	DET
ejpam-6166	218	5	obtained	obtain	VERB
ejpam-6166	218	6	approximate	approximate	ADJ
ejpam-6166	218	7	solution	solution	NOUN
ejpam-6166	218	8	.	.	PUNCT
ejpam-6166	219	1	6	6	X
ejpam-6166	219	2	.	.	X
ejpam-6166	219	3	conclusions	conclusion	NOUN
ejpam-6166	219	4	in	in	ADP
ejpam-6166	219	5	this	this	DET
ejpam-6166	219	6	research	research	NOUN
ejpam-6166	219	7	,	,	PUNCT
ejpam-6166	219	8	chpm	chpm	PROPN
ejpam-6166	219	9	is	be	AUX
ejpam-6166	219	10	applied	apply	VERB
ejpam-6166	219	11	to	to	PART
ejpam-6166	219	12	obtain	obtain	VERB
ejpam-6166	219	13	numerical	numerical	ADJ
ejpam-6166	219	14	solutions	solution	NOUN
ejpam-6166	219	15	for	for	ADP
ejpam-6166	219	16	the	the	DET
ejpam-6166	219	17	bc	bc	PROPN
ejpam-6166	219	18	with	with	ADP
ejpam-6166	219	19	different	different	ADJ
ejpam-6166	219	20	initial	initial	ADJ
ejpam-6166	219	21	solutions	solution	NOUN
ejpam-6166	219	22	,	,	PUNCT
ejpam-6166	219	23	and	and	CCONJ
ejpam-6166	219	24	some	some	DET
ejpam-6166	219	25	parameters	parameter	NOUN
ejpam-6166	219	26	.	.	PUNCT
ejpam-6166	220	1	by	by	ADP
ejpam-6166	220	2	comparing	compare	VERB
ejpam-6166	220	3	the	the	DET
ejpam-6166	220	4	approximate	approximate	ADJ
ejpam-6166	220	5	solutions	solution	NOUN
ejpam-6166	220	6	and	and	CCONJ
ejpam-6166	220	7	the	the	DET
ejpam-6166	220	8	rk4	rk4	PROPN
ejpam-6166	220	9	method	method	NOUN
ejpam-6166	220	10	’s	’s	PART
ejpam-6166	220	11	solution	solution	NOUN
ejpam-6166	220	12	of	of	ADP
ejpam-6166	220	13	the	the	DET
ejpam-6166	220	14	model	model	NOUN
ejpam-6166	220	15	under	under	ADP
ejpam-6166	220	16	study	study	NOUN
ejpam-6166	220	17	,	,	PUNCT
ejpam-6166	220	18	we	we	PRON
ejpam-6166	220	19	were	be	AUX
ejpam-6166	220	20	able	able	ADJ
ejpam-6166	220	21	to	to	PART
ejpam-6166	220	22	conclude	conclude	VERB
ejpam-6166	220	23	that	that	SCONJ
ejpam-6166	220	24	the	the	DET
ejpam-6166	220	25	approximate	approximate	ADJ
ejpam-6166	220	26	solutions	solution	NOUN
ejpam-6166	220	27	obtained	obtain	VERB
ejpam-6166	220	28	by	by	ADP
ejpam-6166	220	29	applying	apply	VERB
ejpam-6166	220	30	the	the	DET
ejpam-6166	220	31	given	give	VERB
ejpam-6166	220	32	technique	technique	NOUN
ejpam-6166	220	33	are	be	AUX
ejpam-6166	220	34	in	in	ADP
ejpam-6166	220	35	excellent	excellent	ADJ
ejpam-6166	220	36	agreement	agreement	NOUN
ejpam-6166	220	37	with	with	ADP
ejpam-6166	220	38	the	the	DET
ejpam-6166	220	39	rk4	rk4	NOUN
ejpam-6166	220	40	method	method	NOUN
ejpam-6166	220	41	’s	’s	PART
ejpam-6166	220	42	solution	solution	NOUN
ejpam-6166	220	43	.	.	PUNCT
ejpam-6166	221	1	also	also	ADV
ejpam-6166	221	2	through	through	ADP
ejpam-6166	221	3	the	the	DET
ejpam-6166	221	4	resulting	result	VERB
ejpam-6166	221	5	numerical	numerical	ADJ
ejpam-6166	221	6	results	result	NOUN
ejpam-6166	221	7	,	,	PUNCT
ejpam-6166	221	8	we	we	PRON
ejpam-6166	221	9	found	find	VERB
ejpam-6166	221	10	to	to	ADP
ejpam-6166	221	11	a	a	DET
ejpam-6166	221	12	large	large	ADJ
ejpam-6166	221	13	extent	extent	NOUN
ejpam-6166	221	14	how	how	SCONJ
ejpam-6166	221	15	effective	effective	ADJ
ejpam-6166	221	16	this	this	DET
ejpam-6166	221	17	approach	approach	NOUN
ejpam-6166	221	18	is	be	AUX
ejpam-6166	221	19	in	in	ADP
ejpam-6166	221	20	solving	solve	VERB
ejpam-6166	221	21	the	the	DET
ejpam-6166	221	22	problem	problem	NOUN
ejpam-6166	221	23	under	under	ADP
ejpam-6166	221	24	study	study	NOUN
ejpam-6166	221	25	and	and	CCONJ
ejpam-6166	221	26	highlights	highlight	NOUN
ejpam-6166	221	27	the	the	DET
ejpam-6166	221	28	validity	validity	NOUN
ejpam-6166	221	29	and	and	CCONJ
ejpam-6166	221	30	potential	potential	NOUN
ejpam-6166	221	31	of	of	ADP
ejpam-6166	221	32	the	the	DET
ejpam-6166	221	33	proposed	propose	VERB
ejpam-6166	221	34	technique	technique	NOUN
ejpam-6166	221	35	.	.	PUNCT
ejpam-6166	222	1	finally	finally	ADV
ejpam-6166	222	2	,	,	PUNCT
ejpam-6166	222	3	this	this	DET
ejpam-6166	222	4	view	view	NOUN
ejpam-6166	222	5	of	of	ADP
ejpam-6166	222	6	analytical	analytical	ADJ
ejpam-6166	222	7	and	and	CCONJ
ejpam-6166	222	8	numerical	numerical	ADJ
ejpam-6166	222	9	solutions	solution	NOUN
ejpam-6166	222	10	of	of	ADP
ejpam-6166	222	11	dynamic	dynamic	ADJ
ejpam-6166	222	12	variables	variable	NOUN
ejpam-6166	222	13	was	be	AUX
ejpam-6166	222	14	due	due	ADJ
ejpam-6166	222	15	to	to	ADP
ejpam-6166	222	16	their	their	PRON
ejpam-6166	222	17	being	be	AUX
ejpam-6166	222	18	present	present	ADJ
ejpam-6166	222	19	and	and	CCONJ
ejpam-6166	222	20	effectively	effectively	ADV
ejpam-6166	222	21	influencing	influence	VERB
ejpam-6166	222	22	various	various	ADJ
ejpam-6166	222	23	models	model	NOUN
ejpam-6166	222	24	and	and	CCONJ
ejpam-6166	222	25	fields	field	NOUN
ejpam-6166	222	26	of	of	ADP
ejpam-6166	222	27	applied	applied	ADJ
ejpam-6166	222	28	mathematics	mathematic	NOUN
ejpam-6166	222	29	.	.	PUNCT
ejpam-6166	223	1	finally	finally	ADV
ejpam-6166	223	2	,	,	PUNCT
ejpam-6166	223	3	the	the	DET
ejpam-6166	223	4	present	present	ADJ
ejpam-6166	223	5	study	study	NOUN
ejpam-6166	223	6	may	may	AUX
ejpam-6166	223	7	contribute	contribute	VERB
ejpam-6166	223	8	to	to	ADP
ejpam-6166	223	9	providing	provide	VERB
ejpam-6166	223	10	more	more	ADV
ejpam-6166	223	11	robust	robust	ADJ
ejpam-6166	223	12	physical	physical	ADJ
ejpam-6166	223	13	explanations	explanation	NOUN
ejpam-6166	223	14	for	for	ADP
ejpam-6166	223	15	future	future	ADJ
ejpam-6166	223	16	theoretical	theoretical	ADJ
ejpam-6166	223	17	and	and	CCONJ
ejpam-6166	223	18	computational	computational	ADJ
ejpam-6166	223	19	studies	study	NOUN
ejpam-6166	223	20	on	on	ADP
ejpam-6166	223	21	the	the	DET
ejpam-6166	223	22	same	same	ADJ
ejpam-6166	223	23	topic	topic	NOUN
ejpam-6166	223	24	.	.	PUNCT
ejpam-6166	224	1	acknowledgements	acknowledgement	NOUN
ejpam-6166	224	2	the	the	DET
ejpam-6166	224	3	researchers	researcher	NOUN
ejpam-6166	224	4	wish	wish	VERB
ejpam-6166	224	5	to	to	PART
ejpam-6166	224	6	extend	extend	VERB
ejpam-6166	224	7	their	their	PRON
ejpam-6166	224	8	sincere	sincere	ADJ
ejpam-6166	224	9	gratitude	gratitude	NOUN
ejpam-6166	224	10	to	to	ADP
ejpam-6166	224	11	the	the	DET
ejpam-6166	224	12	deanship	deanship	NOUN
ejpam-6166	224	13	of	of	ADP
ejpam-6166	224	14	scientific	scientific	ADJ
ejpam-6166	224	15	research	research	NOUN
ejpam-6166	224	16	at	at	ADP
ejpam-6166	224	17	the	the	DET
ejpam-6166	224	18	islamic	islamic	PROPN
ejpam-6166	224	19	university	university	PROPN
ejpam-6166	224	20	of	of	ADP
ejpam-6166	224	21	madinah	madinah	PROPN
ejpam-6166	224	22	for	for	ADP
ejpam-6166	224	23	the	the	DET
ejpam-6166	224	24	support	support	NOUN
ejpam-6166	224	25	provided	provide	VERB
ejpam-6166	224	26	to	to	ADP
ejpam-6166	224	27	the	the	DET
ejpam-6166	224	28	postpublishing	postpublishe	VERB
ejpam-6166	224	29	program	program	NOUN
ejpam-6166	224	30	.	.	PUNCT
ejpam-6166	225	1	m.	m.	PROPN
ejpam-6166	225	2	adel	adel	PROPN
ejpam-6166	225	3	,	,	PUNCT
ejpam-6166	225	4	m.	m.	NOUN
ejpam-6166	225	5	m.	m.	NOUN
ejpam-6166	225	6	khader	khader	PROPN
ejpam-6166	225	7	,	,	PUNCT
ejpam-6166	225	8	m.	m.	NOUN
ejpam-6166	225	9	messaoudi	messaoudi	PROPN
ejpam-6166	225	10	/	/	SYM
ejpam-6166	225	11	eur	eur	PROPN
ejpam-6166	225	12	.	.	PUNCT
ejpam-6166	226	1	j.	j.	PROPN
ejpam-6166	226	2	pure	pure	PROPN
ejpam-6166	226	3	appl	appl	PROPN
ejpam-6166	226	4	.	.	PROPN
ejpam-6166	226	5	math	math	PROPN
ejpam-6166	226	6	,	,	PUNCT
ejpam-6166	226	7	18	18	NUM
ejpam-6166	226	8	(	(	PUNCT
ejpam-6166	226	9	2	2	NUM
ejpam-6166	226	10	)	)	PUNCT
ejpam-6166	226	11	(	(	PUNCT
ejpam-6166	226	12	2025	2025	NUM
ejpam-6166	226	13	)	)	PUNCT
ejpam-6166	226	14	,	,	PUNCT
ejpam-6166	226	15	6166	6166	NUM
ejpam-6166	226	16	14	14	NUM
ejpam-6166	226	17	of	of	ADP
ejpam-6166	226	18	16	16	NUM
ejpam-6166	226	19	references	reference	NOUN
ejpam-6166	226	20	[	[	X
ejpam-6166	226	21	1	1	NUM
ejpam-6166	226	22	]	]	PUNCT
ejpam-6166	226	23	m.	m.	NOUN
ejpam-6166	226	24	fathoni	fathoni	PROPN
ejpam-6166	226	25	,	,	PUNCT
ejpam-6166	226	26	g.	g.	PROPN
ejpam-6166	226	27	gunardi	gunardi	PROPN
ejpam-6166	226	28	,	,	PUNCT
ejpam-6166	226	29	f.	f.	PROPN
ejpam-6166	226	30	a.	a.	PROPN
ejpam-6166	226	31	kusumo	kusumo	PROPN
ejpam-6166	226	32	and	and	CCONJ
ejpam-6166	226	33	s.	s.	PROPN
ejpam-6166	226	34	h.	h.	PROPN
ejpam-6166	226	35	hutajulu	hutajulu	PROPN
ejpam-6166	226	36	.	.	PUNCT
ejpam-6166	227	1	mathematical	mathematical	ADJ
ejpam-6166	227	2	model	model	NOUN
ejpam-6166	227	3	analysis	analysis	NOUN
ejpam-6166	227	4	of	of	ADP
ejpam-6166	227	5	breast	breast	NOUN
ejpam-6166	227	6	cancer	cancer	NOUN
ejpam-6166	227	7	stages	stage	NOUN
ejpam-6166	227	8	with	with	ADP
ejpam-6166	227	9	side	side	ADJ
ejpam-6166	227	10	effects	effect	NOUN
ejpam-6166	227	11	on	on	ADP
ejpam-6166	227	12	the	the	DET
ejpam-6166	227	13	heart	heart	NOUN
ejpam-6166	227	14	in	in	ADP
ejpam-6166	227	15	chemotherapy	chemotherapy	NOUN
ejpam-6166	227	16	patients	patient	NOUN
ejpam-6166	227	17	,	,	PUNCT
ejpam-6166	227	18	in	in	ADP
ejpam-6166	227	19	proceedings	proceeding	NOUN
ejpam-6166	227	20	of	of	ADP
ejpam-6166	227	21	the	the	DET
ejpam-6166	227	22	aip	aip	PROPN
ejpam-6166	227	23	conference	conference	NOUN
ejpam-6166	227	24	proceedings	proceeding	NOUN
ejpam-6166	227	25	,	,	PUNCT
ejpam-6166	227	26	yogyakarta	yogyakarta	PROPN
ejpam-6166	227	27	,	,	PUNCT
ejpam-6166	227	28	indonesia	indonesia	PROPN
ejpam-6166	227	29	,	,	PUNCT
ejpam-6166	227	30	29	29	NUM
ejpam-6166	227	31	july–1	july–1	NOUN
ejpam-6166	227	32	august	august	PROPN
ejpam-6166	227	33	2019	2019	NUM
ejpam-6166	227	34	;	;	PUNCT
ejpam-6166	227	35	aip	aip	PROPN
ejpam-6166	227	36	publishing	publishing	PROPN
ejpam-6166	227	37	:	:	PUNCT
ejpam-6166	227	38	melville	melville	PROPN
ejpam-6166	227	39	,	,	PUNCT
ejpam-6166	227	40	ny	ny	PROPN
ejpam-6166	227	41	,	,	PUNCT
ejpam-6166	227	42	usa	usa	PROPN
ejpam-6166	227	43	,	,	PUNCT
ejpam-6166	227	44	2019	2019	NUM
ejpam-6166	227	45	.	.	PUNCT
ejpam-6166	228	1	[	[	X
ejpam-6166	228	2	2	2	NUM
ejpam-6166	228	3	]	]	PUNCT
ejpam-6166	228	4	breast	breast	NOUN
ejpam-6166	228	5	cancer	cancer	NOUN
ejpam-6166	228	6	.	.	PUNCT
ejpam-6166	229	1	available	available	ADJ
ejpam-6166	229	2	online	online	ADV
ejpam-6166	229	3	:	:	PUNCT
ejpam-6166	229	4	https://www.who.int/news-room/factsheets/detail/breast-cancer	https://www.who.int/news-room/factsheets/detail/breast-cancer	NOUN
ejpam-6166	229	5	(	(	PUNCT
ejpam-6166	229	6	accessed	access	VERB
ejpam-6166	229	7	on	on	ADP
ejpam-6166	229	8	15	15	NUM
ejpam-6166	229	9	july	july	PROPN
ejpam-6166	229	10	2023	2023	NUM
ejpam-6166	229	11	)	)	PUNCT
ejpam-6166	229	12	.	.	PUNCT
ejpam-6166	230	1	[	[	X
ejpam-6166	230	2	3	3	X
ejpam-6166	230	3	]	]	X
ejpam-6166	230	4	c.	c.	PROPN
ejpam-6166	230	5	e.	e.	PROPN
ejpam-6166	230	6	de	de	PROPN
ejpam-6166	230	7	santis	santis	PROPN
ejpam-6166	230	8	,	,	PUNCT
ejpam-6166	230	9	f.	f.	PROPN
ejpam-6166	230	10	bray	bray	PROPN
ejpam-6166	230	11	,	,	PUNCT
ejpam-6166	230	12	j.	j.	PROPN
ejpam-6166	230	13	ferlay	ferlay	PROPN
ejpam-6166	230	14	,	,	PUNCT
ejpam-6166	230	15	j.	j.	PROPN
ejpam-6166	230	16	lortet	lortet	PROPN
ejpam-6166	230	17	-	-	PUNCT
ejpam-6166	230	18	tieulent	tieulent	NOUN
ejpam-6166	230	19	,	,	PUNCT
ejpam-6166	230	20	b.	b.	PROPN
ejpam-6166	230	21	o.	o.	PROPN
ejpam-6166	230	22	anderson	anderson	PROPN
ejpam-6166	230	23	and	and	CCONJ
ejpam-6166	230	24	a.	a.	PROPN
ejpam-6166	230	25	jemal	jemal	PROPN
ejpam-6166	230	26	.	.	PUNCT
ejpam-6166	231	1	international	international	ADJ
ejpam-6166	231	2	variation	variation	NOUN
ejpam-6166	231	3	in	in	ADP
ejpam-6166	231	4	female	female	ADJ
ejpam-6166	231	5	breast	breast	NOUN
ejpam-6166	231	6	cancer	cancer	NOUN
ejpam-6166	231	7	incidence	incidence	NOUN
ejpam-6166	231	8	and	and	CCONJ
ejpam-6166	231	9	mortality	mortality	NOUN
ejpam-6166	231	10	rates	rate	NOUN
ejpam-6166	231	11	.	.	PUNCT
ejpam-6166	232	1	cancer	cancer	NOUN
ejpam-6166	232	2	epidemiol	epidemiol	PROPN
ejpam-6166	232	3	biomarkers	biomarker	NOUN
ejpam-6166	232	4	prev	prev	NOUN
ejpam-6166	232	5	.	.	PUNCT
ejpam-6166	232	6	,	,	PUNCT
ejpam-6166	232	7	6:1495–1506	6:1495–1506	NUM
ejpam-6166	232	8	,	,	PUNCT
ejpam-6166	232	9	2015	2015	NUM
ejpam-6166	232	10	.	.	PUNCT
ejpam-6166	233	1	[	[	X
ejpam-6166	233	2	4	4	NUM
ejpam-6166	233	3	]	]	PUNCT
ejpam-6166	233	4	m.	m.	NOUN
ejpam-6166	233	5	idrees	idree	NOUN
ejpam-6166	233	6	,	,	PUNCT
ejpam-6166	233	7	a.	a.	PROPN
ejpam-6166	233	8	s.	s.	PROPN
ejpam-6166	233	9	alnahdi	alnahdi	PROPN
ejpam-6166	233	10	and	and	CCONJ
ejpam-6166	233	11	m.	m.	PROPN
ejpam-6166	233	12	b.	b.	PROPN
ejpam-6166	233	13	jeelani	jeelani	PROPN
ejpam-6166	233	14	.	.	PUNCT
ejpam-6166	234	1	mathematical	mathematical	ADJ
ejpam-6166	234	2	modeling	modeling	NOUN
ejpam-6166	234	3	of	of	ADP
ejpam-6166	234	4	breast	breast	NOUN
ejpam-6166	234	5	cancer	cancer	NOUN
ejpam-6166	234	6	based	base	VERB
ejpam-6166	234	7	on	on	ADP
ejpam-6166	234	8	the	the	DET
ejpam-6166	234	9	caputo	caputo	PROPN
ejpam-6166	234	10	-	-	PUNCT
ejpam-6166	234	11	fabrizio	fabrizio	PROPN
ejpam-6166	234	12	fractal	fractal	ADJ
ejpam-6166	234	13	-	-	PUNCT
ejpam-6166	234	14	fractional	fractional	ADJ
ejpam-6166	234	15	derivative	derivative	NOUN
ejpam-6166	234	16	.	.	PUNCT
ejpam-6166	235	1	fractal	fractal	ADJ
ejpam-6166	235	2	fract	fract	PROPN
ejpam-6166	235	3	.	.	PUNCT
ejpam-6166	235	4	,	,	PUNCT
ejpam-6166	235	5	7:1–14	7:1–14	NOUN
ejpam-6166	235	6	,	,	PUNCT
ejpam-6166	235	7	2023	2023	NUM
ejpam-6166	235	8	.	.	PUNCT
ejpam-6166	236	1	[	[	X
ejpam-6166	236	2	5	5	NUM
ejpam-6166	236	3	]	]	PUNCT
ejpam-6166	236	4	m.	m.	NOUN
ejpam-6166	236	5	adel	adel	PROPN
ejpam-6166	236	6	,	,	PUNCT
ejpam-6166	236	7	m.	m.	NOUN
ejpam-6166	236	8	m.	m.	NOUN
ejpam-6166	236	9	khader	khader	PROPN
ejpam-6166	236	10	,	,	PUNCT
ejpam-6166	236	11	t.	t.	PROPN
ejpam-6166	236	12	a.	a.	NOUN
ejpam-6166	236	13	assiri	assiri	PROPN
ejpam-6166	236	14	andw	andw	PROPN
ejpam-6166	236	15	.	.	PUNCT
ejpam-6166	237	1	kaleel	kaleel	PROPN
ejpam-6166	237	2	.	.	PUNCT
ejpam-6166	238	1	numerical	numerical	PROPN
ejpam-6166	238	2	simulation	simulation	PROPN
ejpam-6166	238	3	for	for	ADP
ejpam-6166	238	4	covid19	covid19	NOUN
ejpam-6166	238	5	model	model	NOUN
ejpam-6166	238	6	using	use	VERB
ejpam-6166	238	7	a	a	DET
ejpam-6166	238	8	multidomain	multidomain	ADJ
ejpam-6166	238	9	spectral	spectral	ADJ
ejpam-6166	238	10	relaxation	relaxation	NOUN
ejpam-6166	238	11	technique	technique	NOUN
ejpam-6166	238	12	.	.	PUNCT
ejpam-6166	239	1	symmetry	symmetry	NOUN
ejpam-6166	239	2	,	,	PUNCT
ejpam-6166	239	3	15:1–12	15:1–12	NUM
ejpam-6166	239	4	,	,	PUNCT
ejpam-6166	239	5	2023	2023	NUM
ejpam-6166	239	6	.	.	PUNCT
ejpam-6166	240	1	[	[	X
ejpam-6166	240	2	6	6	NUM
ejpam-6166	240	3	]	]	PUNCT
ejpam-6166	240	4	m.	m.	NOUN
ejpam-6166	240	5	m.	m.	NOUN
ejpam-6166	240	6	khader	khader	PROPN
ejpam-6166	240	7	,	,	PUNCT
ejpam-6166	240	8	n.	n.	PROPN
ejpam-6166	240	9	h.	h.	PROPN
ejpam-6166	240	10	sweilam	sweilam	PROPN
ejpam-6166	240	11	,	,	PUNCT
ejpam-6166	240	12	a.	a.	PROPN
ejpam-6166	240	13	m.	m.	PROPN
ejpam-6166	240	14	s.	s.	PROPN
ejpam-6166	240	15	mahdy	mahdy	PROPN
ejpam-6166	240	16	and	and	CCONJ
ejpam-6166	240	17	n.	n.	PROPN
ejpam-6166	240	18	k.	k.	PROPN
ejpam-6166	240	19	a.	a.	PROPN
ejpam-6166	240	20	moniem	moniem	PROPN
ejpam-6166	240	21	.	.	PUNCT
ejpam-6166	241	1	numerical	numerical	PROPN
ejpam-6166	241	2	simulation	simulation	PROPN
ejpam-6166	241	3	for	for	ADP
ejpam-6166	241	4	the	the	DET
ejpam-6166	241	5	fractional	fractional	PROPN
ejpam-6166	241	6	sirc	sirc	PROPN
ejpam-6166	241	7	model	model	NOUN
ejpam-6166	241	8	and	and	CCONJ
ejpam-6166	241	9	influenza	influenza	NOUN
ejpam-6166	241	10	a.	a.	NOUN
ejpam-6166	241	11	appl	appl	PROPN
ejpam-6166	241	12	.	.	PROPN
ejpam-6166	242	1	math	math	PROPN
ejpam-6166	242	2	.	.	PUNCT
ejpam-6166	243	1	inf	inf	PROPN
ejpam-6166	243	2	.	.	PUNCT
ejpam-6166	244	1	sci	sci	PROPN
ejpam-6166	244	2	.	.	PROPN
ejpam-6166	244	3	,	,	PUNCT
ejpam-6166	244	4	8:1029–1036	8:1029–1036	NOUN
ejpam-6166	244	5	,	,	PUNCT
ejpam-6166	244	6	2014	2014	NUM
ejpam-6166	244	7	.	.	PUNCT
ejpam-6166	245	1	[	[	X
ejpam-6166	245	2	7	7	X
ejpam-6166	245	3	]	]	PUNCT
ejpam-6166	245	4	m.	m.	NOUN
ejpam-6166	245	5	abaid	abaid	PROPN
ejpam-6166	245	6	ur	ur	PROPN
ejpam-6166	245	7	rehman	rehman	PROPN
ejpam-6166	245	8	,	,	PUNCT
ejpam-6166	245	9	j.	j.	PROPN
ejpam-6166	245	10	ahmad	ahmad	PROPN
ejpam-6166	245	11	,	,	PUNCT
ejpam-6166	245	12	a.	a.	PROPN
ejpam-6166	245	13	hassan	hassan	PROPN
ejpam-6166	245	14	,	,	PUNCT
ejpam-6166	245	15	j.	j.	PROPN
ejpam-6166	245	16	awrejcewicz	awrejcewicz	PROPN
ejpam-6166	245	17	,	,	PUNCT
ejpam-6166	245	18	w.	w.	PROPN
ejpam-6166	245	19	pawlowski	pawlowski	PROPN
ejpam-6166	245	20	,	,	PUNCT
ejpam-6166	245	21	h.	h.	PROPN
ejpam-6166	245	22	karamti	karamti	PROPN
ejpam-6166	245	23	and	and	CCONJ
ejpam-6166	245	24	f.	f.	PROPN
ejpam-6166	245	25	m.	m.	PROPN
ejpam-6166	245	26	alharbi	alharbi	PROPN
ejpam-6166	245	27	.	.	PUNCT
ejpam-6166	246	1	the	the	DET
ejpam-6166	246	2	dynamics	dynamic	NOUN
ejpam-6166	246	3	of	of	ADP
ejpam-6166	246	4	a	a	DET
ejpam-6166	246	5	fractional	fractional	ADJ
ejpam-6166	246	6	-	-	PUNCT
ejpam-6166	246	7	order	order	NOUN
ejpam-6166	246	8	mathematical	mathematical	ADJ
ejpam-6166	246	9	model	model	NOUN
ejpam-6166	246	10	of	of	ADP
ejpam-6166	246	11	cancer	cancer	NOUN
ejpam-6166	246	12	tumor	tumor	NOUN
ejpam-6166	246	13	disease	disease	NOUN
ejpam-6166	246	14	.	.	PUNCT
ejpam-6166	247	1	symmetry	symmetry	NOUN
ejpam-6166	247	2	,	,	PUNCT
ejpam-6166	247	3	14:1–15	14:1–15	NUM
ejpam-6166	247	4	,	,	PUNCT
ejpam-6166	247	5	2022	2022	NUM
ejpam-6166	247	6	.	.	PUNCT
ejpam-6166	248	1	[	[	X
ejpam-6166	248	2	8	8	NUM
ejpam-6166	248	3	]	]	X
ejpam-6166	248	4	m.	m.	NOUN
ejpam-6166	248	5	m.	m.	PROPN
ejpam-6166	248	6	al	al	PROPN
ejpam-6166	248	7	-	-	PUNCT
ejpam-6166	248	8	shomrani	shomrani	PROPN
ejpam-6166	248	9	and	and	CCONJ
ejpam-6166	248	10	m.	m.	NOUN
ejpam-6166	248	11	a.	a.	PROPN
ejpam-6166	248	12	abdelkawy	abdelkawy	PROPN
ejpam-6166	248	13	.	.	PUNCT
ejpam-6166	249	1	numerical	numerical	PROPN
ejpam-6166	249	2	simulation	simulation	PROPN
ejpam-6166	249	3	for	for	ADP
ejpam-6166	249	4	a	a	DET
ejpam-6166	249	5	fractional	fractional	ADJ
ejpam-6166	249	6	-	-	PUNCT
ejpam-6166	249	7	order	order	NOUN
ejpam-6166	249	8	differential	differential	ADJ
ejpam-6166	249	9	system	system	NOUN
ejpam-6166	249	10	of	of	ADP
ejpam-6166	249	11	a	a	DET
ejpam-6166	249	12	glioblastoma	glioblastoma	NOUN
ejpam-6166	249	13	multiforme	multiforme	NOUN
ejpam-6166	249	14	and	and	CCONJ
ejpam-6166	249	15	immune	immune	ADJ
ejpam-6166	249	16	system	system	NOUN
ejpam-6166	249	17	.	.	PUNCT
ejpam-6166	250	1	adv	adv	PROPN
ejpam-6166	250	2	.	.	PROPN
ejpam-6166	250	3	differ	differ	VERB
ejpam-6166	250	4	.	.	PUNCT
ejpam-6166	251	1	equ	equ	PROPN
ejpam-6166	251	2	.	.	PROPN
ejpam-6166	251	3	,	,	PUNCT
ejpam-6166	251	4	2020:516	2020:516	NUM
ejpam-6166	251	5	,	,	PUNCT
ejpam-6166	251	6	2020	2020	NUM
ejpam-6166	251	7	.	.	PUNCT
ejpam-6166	252	1	[	[	X
ejpam-6166	252	2	9	9	NUM
ejpam-6166	252	3	]	]	SYM
ejpam-6166	252	4	i.	i.	PROPN
ejpam-6166	252	5	m.	m.	PROPN
ejpam-6166	252	6	batiha	batiha	PROPN
ejpam-6166	252	7	,	,	PUNCT
ejpam-6166	252	8	a.	a.	PROPN
ejpam-6166	252	9	bataihah	bataihah	PROPN
ejpam-6166	252	10	,	,	PUNCT
ejpam-6166	252	11	abeer	abeer	PROPN
ejpam-6166	252	12	a.	a.	PROPN
ejpam-6166	252	13	al	al	PROPN
ejpam-6166	252	14	-	-	PUNCT
ejpam-6166	252	15	nana	nana	PROPN
ejpam-6166	252	16	,	,	PUNCT
ejpam-6166	252	17	s.	s.	PROPN
ejpam-6166	252	18	alshorm	alshorm	PROPN
ejpam-6166	252	19	,	,	PUNCT
ejpam-6166	252	20	i.	i.	PROPN
ejpam-6166	252	21	h.	h.	PROPN
ejpam-6166	252	22	jebril	jebril	PROPN
ejpam-6166	252	23	and	and	CCONJ
ejpam-6166	252	24	a.	a.	NOUN
ejpam-6166	252	25	zraiqat	zraiqat	PROPN
ejpam-6166	252	26	.	.	PUNCT
ejpam-6166	253	1	a	a	DET
ejpam-6166	253	2	numerical	numerical	ADJ
ejpam-6166	253	3	scheme	scheme	NOUN
ejpam-6166	253	4	for	for	ADP
ejpam-6166	253	5	dealing	deal	VERB
ejpam-6166	253	6	with	with	ADP
ejpam-6166	253	7	fractional	fractional	ADJ
ejpam-6166	253	8	initial	initial	ADJ
ejpam-6166	253	9	value	value	NOUN
ejpam-6166	253	10	problems	problem	NOUN
ejpam-6166	253	11	.	.	PUNCT
ejpam-6166	254	1	int	int	NOUN
ejpam-6166	254	2	.	.	PUNCT
ejpam-6166	255	1	j.	j.	PROPN
ejpam-6166	255	2	innov	innov	PROPN
ejpam-6166	255	3	.	.	PUNCT
ejpam-6166	256	1	comput	comput	NOUN
ejpam-6166	256	2	.	.	PUNCT
ejpam-6166	257	1	inform	inform	NOUN
ejpam-6166	257	2	.	.	PUNCT
ejpam-6166	258	1	control	control	NOUN
ejpam-6166	258	2	,	,	PUNCT
ejpam-6166	258	3	19:763–774	19:763–774	NUM
ejpam-6166	258	4	,	,	PUNCT
ejpam-6166	258	5	2023	2023	NUM
ejpam-6166	258	6	.	.	PUNCT
ejpam-6166	259	1	[	[	X
ejpam-6166	259	2	10	10	NUM
ejpam-6166	259	3	]	]	X
ejpam-6166	259	4	f.	f.	PROPN
ejpam-6166	259	5	okose	okose	PROPN
ejpam-6166	259	6	,	,	PUNCT
ejpam-6166	259	7	m.	m.	NOUN
ejpam-6166	259	8	t.	t.	PROPN
ejpam-6166	259	9	senel	senel	PROPN
ejpam-6166	259	10	and	and	CCONJ
ejpam-6166	259	11	r.	r.	PROPN
ejpam-6166	259	12	habbireeh	habbireeh	PROPN
ejpam-6166	259	13	.	.	PUNCT
ejpam-6166	260	1	fractional	fractional	ADJ
ejpam-6166	260	2	-	-	PUNCT
ejpam-6166	260	3	order	order	NOUN
ejpam-6166	260	4	mathematical	mathematical	ADJ
ejpam-6166	260	5	modeling	modeling	NOUN
ejpam-6166	260	6	of	of	ADP
ejpam-6166	260	7	cancer	cancer	NOUN
ejpam-6166	260	8	cells	cell	NOUN
ejpam-6166	260	9	-	-	PUNCT
ejpam-6166	260	10	cancer	cancer	NOUN
ejpam-6166	260	11	stem	stem	NOUN
ejpam-6166	260	12	cells	cell	NOUN
ejpam-6166	260	13	-	-	PUNCT
ejpam-6166	260	14	immune	immune	ADJ
ejpam-6166	260	15	system	system	NOUN
ejpam-6166	260	16	interaction	interaction	NOUN
ejpam-6166	260	17	with	with	ADP
ejpam-6166	260	18	chemotherapy	chemotherapy	NOUN
ejpam-6166	260	19	.	.	PUNCT
ejpam-6166	261	1	math	math	PROPN
ejpam-6166	261	2	.	.	PUNCT
ejpam-6166	262	1	model	model	PROPN
ejpam-6166	262	2	.	.	PUNCT
ejpam-6166	263	1	numer	numer	PROPN
ejpam-6166	263	2	.	.	PUNCT
ejpam-6166	264	1	simul	simul	PROPN
ejpam-6166	264	2	.	.	PUNCT
ejpam-6166	264	3	appl	appl	PROPN
ejpam-6166	264	4	.	.	PROPN
ejpam-6166	264	5	,	,	PUNCT
ejpam-6166	264	6	1:67–83	1:67–83	NUM
ejpam-6166	264	7	,	,	PUNCT
ejpam-6166	264	8	2021	2021	NUM
ejpam-6166	264	9	.	.	PUNCT
ejpam-6166	265	1	[	[	X
ejpam-6166	265	2	11	11	NUM
ejpam-6166	265	3	]	]	PUNCT
ejpam-6166	265	4	a.	a.	PROPN
ejpam-6166	265	5	r.	r.	PROPN
ejpam-6166	265	6	alharbi	alharbi	PROPN
ejpam-6166	265	7	,	,	PUNCT
ejpam-6166	265	8	m.	m.	NOUN
ejpam-6166	265	9	b.	b.	PROPN
ejpam-6166	265	10	almatrafi	almatrafi	PROPN
ejpam-6166	265	11	and	and	CCONJ
ejpam-6166	265	12	kh	kh	PROPN
ejpam-6166	265	13	.	.	PROPN
ejpam-6166	265	14	lotfy	lotfy	PROPN
ejpam-6166	265	15	,	,	PUNCT
ejpam-6166	265	16	constructions	construction	NOUN
ejpam-6166	265	17	of	of	ADP
ejpam-6166	265	18	solitary	solitary	ADJ
ejpam-6166	265	19	traveling	travel	VERB
ejpam-6166	265	20	wave	wave	NOUN
ejpam-6166	265	21	solutions	solution	NOUN
ejpam-6166	265	22	for	for	ADP
ejpam-6166	265	23	ito	ito	PROPN
ejpam-6166	265	24	integro	integro	PROPN
ejpam-6166	265	25	-	-	PUNCT
ejpam-6166	265	26	differential	differential	NOUN
ejpam-6166	265	27	equation	equation	NOUN
ejpam-6166	265	28	arising	arise	VERB
ejpam-6166	265	29	in	in	ADP
ejpam-6166	265	30	plasma	plasma	NOUN
ejpam-6166	265	31	physics	physic	NOUN
ejpam-6166	265	32	.	.	PUNCT
ejpam-6166	266	1	results	result	NOUN
ejpam-6166	266	2	in	in	ADP
ejpam-6166	266	3	physics	physics	NOUN
ejpam-6166	266	4	,	,	PUNCT
ejpam-6166	266	5	19:103533	19:103533	NUM
ejpam-6166	266	6	,	,	PUNCT
ejpam-6166	266	7	2020	2020	NUM
ejpam-6166	266	8	.	.	PUNCT
ejpam-6166	267	1	[	[	X
ejpam-6166	267	2	12	12	NUM
ejpam-6166	267	3	]	]	PUNCT
ejpam-6166	267	4	a.	a.	NOUN
ejpam-6166	267	5	m.	m.	PROPN
ejpam-6166	267	6	s.	s.	PROPN
ejpam-6166	267	7	mahdy	mahdy	PROPN
ejpam-6166	267	8	,	,	PUNCT
ejpam-6166	267	9	kh	kh	PROPN
ejpam-6166	267	10	.	.	PROPN
ejpam-6166	267	11	lotfy	lotfy	PROPN
ejpam-6166	267	12	and	and	CCONJ
ejpam-6166	267	13	a.	a.	PROPN
ejpam-6166	267	14	a.	a.	PROPN
ejpam-6166	267	15	el	el	PROPN
ejpam-6166	267	16	-	-	PUNCT
ejpam-6166	267	17	bary	bary	NOUN
ejpam-6166	267	18	.	.	PUNCT
ejpam-6166	268	1	use	use	NOUN
ejpam-6166	268	2	of	of	ADP
ejpam-6166	268	3	optimal	optimal	ADJ
ejpam-6166	268	4	control	control	NOUN
ejpam-6166	268	5	in	in	ADP
ejpam-6166	268	6	studying	study	VERB
ejpam-6166	268	7	the	the	DET
ejpam-6166	268	8	dynamical	dynamical	ADJ
ejpam-6166	268	9	behaviors	behavior	NOUN
ejpam-6166	268	10	of	of	ADP
ejpam-6166	268	11	fractional	fractional	ADJ
ejpam-6166	268	12	financial	financial	ADJ
ejpam-6166	268	13	awareness	awareness	NOUN
ejpam-6166	268	14	model	model	NOUN
ejpam-6166	268	15	.	.	PUNCT
ejpam-6166	268	16	soft	soft	ADJ
ejpam-6166	268	17	computing	computing	NOUN
ejpam-6166	268	18	,	,	PUNCT
ejpam-6166	268	19	26(7):3401–3409	26(7):3401–3409	NUM
ejpam-6166	268	20	,	,	PUNCT
ejpam-6166	268	21	2022	2022	NUM
ejpam-6166	268	22	.	.	PUNCT
ejpam-6166	269	1	[	[	X
ejpam-6166	269	2	13	13	NUM
ejpam-6166	269	3	]	]	PUNCT
ejpam-6166	269	4	a.	a.	NOUN
ejpam-6166	269	5	m.	m.	PROPN
ejpam-6166	269	6	s.	s.	PROPN
ejpam-6166	269	7	mahdy	mahdy	PROPN
ejpam-6166	269	8	,	,	PUNCT
ejpam-6166	269	9	m.	m.	PROPN
ejpam-6166	269	10	s.	s.	PROPN
ejpam-6166	269	11	mohamed	mohamed	PROPN
ejpam-6166	269	12	,	,	PUNCT
ejpam-6166	269	13	kh	kh	PROPN
ejpam-6166	269	14	.	.	PROPN
ejpam-6166	269	15	lotfy	lotfy	PROPN
ejpam-6166	269	16	,	,	PUNCT
ejpam-6166	269	17	m.	m.	NOUN
ejpam-6166	269	18	alhazmi	alhazmi	PROPN
ejpam-6166	269	19	,	,	PUNCT
ejpam-6166	269	20	a.	a.	PROPN
ejpam-6166	269	21	a.	a.	PROPN
ejpam-6166	269	22	el	el	PROPN
ejpam-6166	269	23	-	-	PUNCT
ejpam-6166	269	24	bary	bary	PROPN
ejpam-6166	269	25	and	and	CCONJ
ejpam-6166	269	26	m.	m.	NOUN
ejpam-6166	269	27	h.	h.	PROPN
ejpam-6166	269	28	raddadi	raddadi	PROPN
ejpam-6166	269	29	,	,	PUNCT
ejpam-6166	269	30	numerical	numerical	ADJ
ejpam-6166	269	31	solution	solution	NOUN
ejpam-6166	269	32	and	and	CCONJ
ejpam-6166	269	33	dynamical	dynamical	ADJ
ejpam-6166	269	34	behaviors	behavior	NOUN
ejpam-6166	269	35	for	for	ADP
ejpam-6166	269	36	solving	solve	VERB
ejpam-6166	269	37	fractional	fractional	ADJ
ejpam-6166	269	38	nonlinear	nonlinear	ADJ
ejpam-6166	269	39	rubella	rubella	NOUN
ejpam-6166	269	40	ailment	ailment	NOUN
ejpam-6166	269	41	disease	disease	NOUN
ejpam-6166	269	42	model	model	NOUN
ejpam-6166	269	43	.	.	PUNCT
ejpam-6166	270	1	results	result	NOUN
ejpam-6166	270	2	in	in	ADP
ejpam-6166	270	3	physics	physics	NOUN
ejpam-6166	270	4	,	,	PUNCT
ejpam-6166	270	5	24(2):104091	24(2):104091	NUM
ejpam-6166	270	6	,	,	PUNCT
ejpam-6166	270	7	2021	2021	NUM
ejpam-6166	270	8	.	.	PUNCT
ejpam-6166	271	1	[	[	X
ejpam-6166	271	2	14	14	NUM
ejpam-6166	271	3	]	]	PUNCT
ejpam-6166	271	4	t.	t.	PROPN
ejpam-6166	271	5	a.	a.	PROPN
ejpam-6166	271	6	j.	j.	PROPN
ejpam-6166	271	7	al	al	PROPN
ejpam-6166	271	8	-	-	PROPN
ejpam-6166	271	9	griffi	griffi	PROPN
ejpam-6166	271	10	and	and	CCONJ
ejpam-6166	271	11	a.	a.	PROPN
ejpam-6166	271	12	s.	s.	PROPN
ejpam-6166	271	13	j.	j.	PROPN
ejpam-6166	271	14	al	al	PROPN
ejpam-6166	271	15	-	-	PUNCT
ejpam-6166	271	16	saif	saif	PROPN
ejpam-6166	271	17	.	.	PUNCT
ejpam-6166	272	1	yang	yang	PROPN
ejpam-6166	272	2	transform	transform	PROPN
ejpam-6166	272	3	-	-	PUNCT
ejpam-6166	272	4	homotopy	homotopy	NOUN
ejpam-6166	272	5	perturbation	perturbation	NOUN
ejpam-6166	272	6	method	method	NOUN
ejpam-6166	272	7	for	for	ADP
ejpam-6166	272	8	solving	solve	VERB
ejpam-6166	272	9	a	a	DET
ejpam-6166	272	10	non	non	ADJ
ejpam-6166	272	11	-	-	ADJ
ejpam-6166	272	12	newtonian	newtonian	ADJ
ejpam-6166	272	13	viscoelastic	viscoelastic	ADJ
ejpam-6166	272	14	fluid	fluid	NOUN
ejpam-6166	272	15	flow	flow	NOUN
ejpam-6166	272	16	on	on	ADP
ejpam-6166	272	17	the	the	DET
ejpam-6166	272	18	turbine	turbine	NOUN
ejpam-6166	272	19	disk	disk	NOUN
ejpam-6166	272	20	.	.	PUNCT
ejpam-6166	273	1	z.	z.	PROPN
ejpam-6166	273	2	angew	angew	PROPN
ejpam-6166	273	3	.	.	PUNCT
ejpam-6166	274	1	m.	m.	PROPN
ejpam-6166	274	2	adel	adel	PROPN
ejpam-6166	274	3	,	,	PUNCT
ejpam-6166	274	4	m.	m.	NOUN
ejpam-6166	274	5	m.	m.	NOUN
ejpam-6166	274	6	khader	khader	PROPN
ejpam-6166	274	7	,	,	PUNCT
ejpam-6166	274	8	m.	m.	NOUN
ejpam-6166	274	9	messaoudi	messaoudi	PROPN
ejpam-6166	274	10	/	/	SYM
ejpam-6166	274	11	eur	eur	PROPN
ejpam-6166	274	12	.	.	PUNCT
ejpam-6166	275	1	j.	j.	PROPN
ejpam-6166	275	2	pure	pure	PROPN
ejpam-6166	275	3	appl	appl	PROPN
ejpam-6166	275	4	.	.	PROPN
ejpam-6166	275	5	math	math	PROPN
ejpam-6166	275	6	,	,	PUNCT
ejpam-6166	275	7	18	18	NUM
ejpam-6166	275	8	(	(	PUNCT
ejpam-6166	275	9	2	2	NUM
ejpam-6166	275	10	)	)	PUNCT
ejpam-6166	275	11	(	(	PUNCT
ejpam-6166	275	12	2025	2025	NUM
ejpam-6166	275	13	)	)	PUNCT
ejpam-6166	275	14	,	,	PUNCT
ejpam-6166	275	15	6166	6166	NUM
ejpam-6166	275	16	15	15	NUM
ejpam-6166	275	17	of	of	ADP
ejpam-6166	275	18	16	16	NUM
ejpam-6166	275	19	math	math	NOUN
ejpam-6166	275	20	.	.	PUNCT
ejpam-6166	276	1	mech	mech	PROPN
ejpam-6166	276	2	.	.	PUNCT
ejpam-6166	276	3	,	,	PUNCT
ejpam-6166	276	4	e202100116	e202100116	PROPN
ejpam-6166	276	5	,	,	PUNCT
ejpam-6166	276	6	2022	2022	NUM
ejpam-6166	276	7	.	.	PUNCT
ejpam-6166	277	1	[	[	X
ejpam-6166	277	2	15	15	NUM
ejpam-6166	277	3	]	]	PUNCT
ejpam-6166	277	4	t.	t.	PROPN
ejpam-6166	277	5	a.	a.	PROPN
ejpam-6166	277	6	j.	j.	PROPN
ejpam-6166	277	7	al	al	PROPN
ejpam-6166	277	8	-	-	PROPN
ejpam-6166	277	9	griffi	griffi	PROPN
ejpam-6166	277	10	and	and	CCONJ
ejpam-6166	277	11	a.	a.	PROPN
ejpam-6166	277	12	s.	s.	PROPN
ejpam-6166	277	13	j.	j.	PROPN
ejpam-6166	277	14	al	al	PROPN
ejpam-6166	277	15	-	-	PUNCT
ejpam-6166	277	16	saif	saif	PROPN
ejpam-6166	277	17	.	.	PUNCT
ejpam-6166	278	1	akbari	akbari	PROPN
ejpam-6166	278	2	-	-	PUNCT
ejpam-6166	278	3	ganji	ganji	PROPN
ejpam-6166	278	4	homotopy	homotopy	NOUN
ejpam-6166	278	5	perturbation	perturbation	NOUN
ejpam-6166	278	6	method	method	NOUN
ejpam-6166	278	7	for	for	ADP
ejpam-6166	278	8	analyzing	analyze	VERB
ejpam-6166	278	9	the	the	DET
ejpam-6166	278	10	pulsatile	pulsatile	NOUN
ejpam-6166	278	11	blood	blood	NOUN
ejpam-6166	278	12	flow	flow	NOUN
ejpam-6166	278	13	in	in	ADP
ejpam-6166	278	14	tapered	tapered	ADJ
ejpam-6166	278	15	stenosis	stenosis	NOUN
ejpam-6166	278	16	arteries	artery	NOUN
ejpam-6166	278	17	under	under	ADP
ejpam-6166	278	18	the	the	DET
ejpam-6166	278	19	effect	effect	NOUN
ejpam-6166	278	20	of	of	ADP
ejpam-6166	278	21	magnetic	magnetic	ADJ
ejpam-6166	278	22	field	field	NOUN
ejpam-6166	278	23	together	together	ADV
ejpam-6166	278	24	with	with	ADP
ejpam-6166	278	25	the	the	DET
ejpam-6166	278	26	impact	impact	NOUN
ejpam-6166	278	27	of	of	ADP
ejpam-6166	278	28	mass	mass	NOUN
ejpam-6166	278	29	and	and	CCONJ
ejpam-6166	278	30	heat	heat	NOUN
ejpam-6166	278	31	transfer	transfer	NOUN
ejpam-6166	278	32	.	.	PUNCT
ejpam-6166	279	1	j.	j.	PROPN
ejpam-6166	279	2	comput	comput	PROPN
ejpam-6166	279	3	.	.	PUNCT
ejpam-6166	280	1	appl	appl	PROPN
ejpam-6166	280	2	.	.	PROPN
ejpam-6166	280	3	mech	mech	PROPN
ejpam-6166	280	4	.	.	PROPN
ejpam-6166	280	5	,	,	PUNCT
ejpam-6166	280	6	53(4):543–570	53(4):543–570	NUM
ejpam-6166	280	7	,	,	PUNCT
ejpam-6166	280	8	2022	2022	NUM
ejpam-6166	280	9	.	.	PUNCT
ejpam-6166	281	1	[	[	X
ejpam-6166	281	2	16	16	NUM
ejpam-6166	281	3	]	]	X
ejpam-6166	281	4	h.	h.	PROPN
ejpam-6166	281	5	aminikhah	aminikhah	PROPN
ejpam-6166	281	6	and	and	CCONJ
ejpam-6166	281	7	m.	m.	PROPN
ejpam-6166	281	8	hemmatnezhad	hemmatnezhad	VERB
ejpam-6166	281	9	.	.	PUNCT
ejpam-6166	282	1	an	an	DET
ejpam-6166	282	2	efficient	efficient	ADJ
ejpam-6166	282	3	method	method	NOUN
ejpam-6166	282	4	for	for	ADP
ejpam-6166	282	5	quadratic	quadratic	ADJ
ejpam-6166	282	6	riccati	riccati	NOUN
ejpam-6166	282	7	differential	differential	NOUN
ejpam-6166	282	8	equation	equation	NOUN
ejpam-6166	282	9	.	.	PUNCT
ejpam-6166	283	1	commun	commun	PROPN
ejpam-6166	283	2	.	.	PUNCT
ejpam-6166	284	1	nonlinear	nonlinear	PROPN
ejpam-6166	284	2	sci	sci	PROPN
ejpam-6166	284	3	.	.	PUNCT
ejpam-6166	284	4	numer	numer	PROPN
ejpam-6166	284	5	.	.	PUNCT
ejpam-6166	285	1	simulat	simulat	NOUN
ejpam-6166	285	2	.	.	PUNCT
ejpam-6166	286	1	,	,	PUNCT
ejpam-6166	286	2	15:835–839	15:835–839	NUM
ejpam-6166	286	3	,	,	PUNCT
ejpam-6166	286	4	2010	2010	NUM
ejpam-6166	286	5	.	.	PUNCT
ejpam-6166	287	1	[	[	X
ejpam-6166	287	2	17	17	NUM
ejpam-6166	287	3	]	]	X
ejpam-6166	287	4	r.	r.	PROPN
ejpam-6166	287	5	kumar	kumar	PROPN
ejpam-6166	287	6	,	,	PUNCT
ejpam-6166	287	7	a.	a.	PROPN
ejpam-6166	287	8	k.	k.	PROPN
ejpam-6166	287	9	singh	singh	PROPN
ejpam-6166	287	10	and	and	CCONJ
ejpam-6166	287	11	s.	s.	PROPN
ejpam-6166	287	12	s.	s.	PROPN
ejpam-6166	287	13	yadav	yadav	PROPN
ejpam-6166	287	14	.	.	PUNCT
ejpam-6166	288	1	new	new	ADJ
ejpam-6166	288	2	homotopy	homotopy	PROPN
ejpam-6166	288	3	perturbation	perturbation	NOUN
ejpam-6166	288	4	method	method	NOUN
ejpam-6166	288	5	for	for	ADP
ejpam-6166	288	6	analytical	analytical	ADJ
ejpam-6166	288	7	solution	solution	NOUN
ejpam-6166	288	8	of	of	ADP
ejpam-6166	288	9	telegraph	telegraph	NOUN
ejpam-6166	288	10	equation	equation	NOUN
ejpam-6166	288	11	.	.	PUNCT
ejpam-6166	289	1	turk	turk	PROPN
ejpam-6166	289	2	.	.	PUNCT
ejpam-6166	290	1	j.	j.	PROPN
ejpam-6166	290	2	comput	comput	PROPN
ejpam-6166	290	3	.	.	PUNCT
ejpam-6166	291	1	math	math	NOUN
ejpam-6166	291	2	.	.	PUNCT
ejpam-6166	292	1	educ	educ	PROPN
ejpam-6166	292	2	.	.	PUNCT
ejpam-6166	292	3	,	,	PUNCT
ejpam-6166	292	4	12:2144	12:2144	NUM
ejpam-6166	292	5	–	–	PUNCT
ejpam-6166	292	6	2155	2155	NUM
ejpam-6166	292	7	,	,	PUNCT
ejpam-6166	292	8	2021	2021	NUM
ejpam-6166	292	9	.	.	PUNCT
ejpam-6166	293	1	[	[	X
ejpam-6166	293	2	18	18	NUM
ejpam-6166	293	3	]	]	PUNCT
ejpam-6166	293	4	k.	k.	PROPN
ejpam-6166	293	5	pal	pal	PROPN
ejpam-6166	293	6	,	,	PUNCT
ejpam-6166	293	7	v.	v.	PROPN
ejpam-6166	293	8	g.	g.	PROPN
ejpam-6166	293	9	gupta	gupta	PROPN
ejpam-6166	293	10	,	,	PUNCT
ejpam-6166	293	11	h.	h.	PROPN
ejpam-6166	293	12	singh	singh	PROPN
ejpam-6166	293	13	and	and	CCONJ
ejpam-6166	293	14	v.	v.	ADP
ejpam-6166	293	15	pawar	pawar	PROPN
ejpam-6166	293	16	.	.	PUNCT
ejpam-6166	294	1	enlightenment	enlightenment	PROPN
ejpam-6166	294	2	of	of	ADP
ejpam-6166	294	3	heat	heat	NOUN
ejpam-6166	294	4	diffusion	diffusion	NOUN
ejpam-6166	294	5	using	use	VERB
ejpam-6166	294	6	new	new	ADJ
ejpam-6166	294	7	homotopy	homotopy	NOUN
ejpam-6166	294	8	perturbation	perturbation	NOUN
ejpam-6166	294	9	method	method	NOUN
ejpam-6166	294	10	.	.	PUNCT
ejpam-6166	295	1	j.	j.	PROPN
ejpam-6166	295	2	appl	appl	PROPN
ejpam-6166	295	3	.	.	PUNCT
ejpam-6166	296	1	sci	sci	PROPN
ejpam-6166	296	2	.	.	PUNCT
ejpam-6166	297	1	eng	eng	PROPN
ejpam-6166	297	2	.	.	PROPN
ejpam-6166	297	3	,	,	PUNCT
ejpam-6166	297	4	27(3):2213–2216	27(3):2213–2216	NUM
ejpam-6166	297	5	,	,	PUNCT
ejpam-6166	297	6	2023	2023	NUM
ejpam-6166	297	7	.	.	PUNCT
ejpam-6166	298	1	[	[	X
ejpam-6166	298	2	19	19	NUM
ejpam-6166	298	3	]	]	X
ejpam-6166	298	4	j.	j.	PROPN
ejpam-6166	298	5	wu	wu	PROPN
ejpam-6166	298	6	,	,	PUNCT
ejpam-6166	298	7	y.	y.	PROPN
ejpam-6166	298	8	zhang	zhang	PROPN
ejpam-6166	298	9	,	,	PUNCT
ejpam-6166	298	10	l.	l.	PROPN
ejpam-6166	298	11	chen	chen	PROPN
ejpam-6166	298	12	and	and	CCONJ
ejpam-6166	298	13	z.	z.	PROPN
ejpam-6166	298	14	luo	luo	PROPN
ejpam-6166	298	15	.	.	PUNCT
ejpam-6166	299	1	a	a	DET
ejpam-6166	299	2	chebyshev	chebyshev	NOUN
ejpam-6166	299	3	interval	interval	NOUN
ejpam-6166	299	4	method	method	NOUN
ejpam-6166	299	5	for	for	ADP
ejpam-6166	299	6	nonlinear	nonlinear	ADJ
ejpam-6166	299	7	dynamic	dynamic	ADJ
ejpam-6166	299	8	systems	system	NOUN
ejpam-6166	299	9	under	under	ADP
ejpam-6166	299	10	uncertainty	uncertainty	NOUN
ejpam-6166	299	11	.	.	PUNCT
ejpam-6166	300	1	math	math	NOUN
ejpam-6166	300	2	.	.	PUNCT
ejpam-6166	301	1	modell	modell	PROPN
ejpam-6166	301	2	.	.	PUNCT
ejpam-6166	301	3	,	,	PUNCT
ejpam-6166	301	4	37:4578–4591	37:4578–4591	NUM
ejpam-6166	301	5	,	,	PUNCT
ejpam-6166	301	6	2013	2013	NUM
ejpam-6166	301	7	.	.	PUNCT
ejpam-6166	302	1	[	[	X
ejpam-6166	302	2	20	20	NUM
ejpam-6166	302	3	]	]	X
ejpam-6166	302	4	y.	y.	PROPN
ejpam-6166	302	5	m.	m.	PROPN
ejpam-6166	302	6	hamada	hamada	PROPN
ejpam-6166	302	7	.	.	PUNCT
ejpam-6166	303	1	a	a	DET
ejpam-6166	303	2	new	new	ADJ
ejpam-6166	303	3	accurate	accurate	ADJ
ejpam-6166	303	4	numerical	numerical	ADJ
ejpam-6166	303	5	method	method	NOUN
ejpam-6166	303	6	based	base	VERB
ejpam-6166	303	7	on	on	ADP
ejpam-6166	303	8	shifted	shift	VERB
ejpam-6166	303	9	chebyshev	chebyshev	PROPN
ejpam-6166	303	10	series	series	NOUN
ejpam-6166	303	11	for	for	ADP
ejpam-6166	303	12	nuclear	nuclear	ADJ
ejpam-6166	303	13	reactor	reactor	NOUN
ejpam-6166	303	14	dynamical	dynamical	ADJ
ejpam-6166	303	15	systems	system	NOUN
ejpam-6166	303	16	.	.	PUNCT
ejpam-6166	304	1	sci	sci	PROPN
ejpam-6166	304	2	.	.	PROPN
ejpam-6166	304	3	technol	technol	PROPN
ejpam-6166	304	4	.	.	PUNCT
ejpam-6166	304	5	nucl	nucl	PROPN
ejpam-6166	304	6	.	.	PUNCT
ejpam-6166	305	1	install	install	NOUN
ejpam-6166	305	2	,	,	PUNCT
ejpam-6166	305	3	15	15	NUM
ejpam-6166	305	4	:	:	PUNCT
ejpam-6166	305	5	id7105245	id7105245	PROPN
ejpam-6166	305	6	,	,	PUNCT
ejpam-6166	305	7	2018	2018	NUM
ejpam-6166	305	8	.	.	PUNCT
ejpam-6166	306	1	[	[	X
ejpam-6166	306	2	21	21	NUM
ejpam-6166	306	3	]	]	PUNCT
ejpam-6166	306	4	k.	k.	PROPN
ejpam-6166	306	5	k.	k.	PROPN
ejpam-6166	306	6	ali	ali	PROPN
ejpam-6166	306	7	,	,	PUNCT
ejpam-6166	306	8	m.	m.	NOUN
ejpam-6166	306	9	a.	a.	PROPN
ejpam-6166	306	10	abd	abd	PROPN
ejpam-6166	306	11	el	el	PROPN
ejpam-6166	306	12	salam	salam	PROPN
ejpam-6166	306	13	,	,	PUNCT
ejpam-6166	306	14	e.	e.	PROPN
ejpam-6166	306	15	m.	m.	PROPN
ejpam-6166	306	16	mohamed	mohamed	PROPN
ejpam-6166	306	17	,	,	PUNCT
ejpam-6166	306	18	b.	b.	PROPN
ejpam-6166	306	19	samet	samet	PROPN
ejpam-6166	306	20	,	,	PUNCT
ejpam-6166	306	21	s.	s.	PROPN
ejpam-6166	306	22	kumar	kumar	PROPN
ejpam-6166	306	23	and	and	CCONJ
ejpam-6166	306	24	m.	m.	PROPN
ejpam-6166	306	25	s.	s.	PROPN
ejpam-6166	306	26	osman	osman	PROPN
ejpam-6166	306	27	.	.	PUNCT
ejpam-6166	307	1	numerical	numerical	ADJ
ejpam-6166	307	2	solution	solution	NOUN
ejpam-6166	307	3	for	for	ADP
ejpam-6166	307	4	generalized	generalized	ADJ
ejpam-6166	307	5	nonlinear	nonlinear	ADJ
ejpam-6166	307	6	fractional	fractional	ADJ
ejpam-6166	307	7	integro	integro	ADJ
ejpam-6166	307	8	-	-	PUNCT
ejpam-6166	307	9	differential	differential	NOUN
ejpam-6166	307	10	equations	equation	NOUN
ejpam-6166	307	11	with	with	ADP
ejpam-6166	307	12	linear	linear	ADJ
ejpam-6166	307	13	functional	functional	ADJ
ejpam-6166	307	14	arguments	argument	NOUN
ejpam-6166	307	15	using	use	VERB
ejpam-6166	307	16	chebyshev	chebyshev	PROPN
ejpam-6166	307	17	series	series	NOUN
ejpam-6166	307	18	.	.	PUNCT
ejpam-6166	308	1	adv	adv	PROPN
ejpam-6166	308	2	.	.	PUNCT
ejpam-6166	308	3	difference	difference	NOUN
ejpam-6166	308	4	equations	equation	NOUN
ejpam-6166	308	5	,	,	PUNCT
ejpam-6166	308	6	1:1–23	1:1–23	NUM
ejpam-6166	308	7	2020	2020	NUM
ejpam-6166	308	8	.	.	PUNCT
ejpam-6166	309	1	[	[	X
ejpam-6166	309	2	22	22	NUM
ejpam-6166	309	3	]	]	X
ejpam-6166	309	4	f.	f.	PROPN
ejpam-6166	309	5	wang	wang	PROPN
ejpam-6166	309	6	,	,	PUNCT
ejpam-6166	309	7	q.	q.	PROPN
ejpam-6166	309	8	zhao	zhao	PROPN
ejpam-6166	309	9	,	,	PUNCT
ejpam-6166	309	10	z.	z.	PROPN
ejpam-6166	309	11	chen	chen	PROPN
ejpam-6166	309	12	and	and	CCONJ
ejpam-6166	309	13	c.	c.	PROPN
ejpam-6166	309	14	m.	m.	PROPN
ejpam-6166	309	15	fan	fan	PROPN
ejpam-6166	309	16	.	.	PUNCT
ejpam-6166	309	17	localized	localize	VERB
ejpam-6166	309	18	chebyshev	chebyshev	NOUN
ejpam-6166	309	19	collocation	collocation	NOUN
ejpam-6166	309	20	method	method	NOUN
ejpam-6166	309	21	for	for	ADP
ejpam-6166	309	22	solving	solve	VERB
ejpam-6166	309	23	elliptic	elliptic	ADJ
ejpam-6166	309	24	partial	partial	ADJ
ejpam-6166	309	25	differential	differential	ADJ
ejpam-6166	309	26	equations	equation	NOUN
ejpam-6166	309	27	in	in	ADP
ejpam-6166	309	28	arbitrary	arbitrary	ADJ
ejpam-6166	309	29	2d	2d	NUM
ejpam-6166	309	30	domains	domain	NOUN
ejpam-6166	309	31	.	.	PUNCT
ejpam-6166	310	1	appl	appl	PROPN
ejpam-6166	310	2	.	.	PROPN
ejpam-6166	310	3	math	math	PROPN
ejpam-6166	310	4	.	.	PUNCT
ejpam-6166	311	1	comput	comput	NOUN
ejpam-6166	311	2	.	.	PUNCT
ejpam-6166	311	3	,	,	PUNCT
ejpam-6166	311	4	397:1–13	397:1–13	NUM
ejpam-6166	311	5	,	,	PUNCT
ejpam-6166	311	6	2021	2021	NUM
ejpam-6166	311	7	.	.	PUNCT
ejpam-6166	312	1	[	[	X
ejpam-6166	312	2	23	23	NUM
ejpam-6166	312	3	]	]	PUNCT
ejpam-6166	312	4	izadi	izadi	NOUN
ejpam-6166	312	5	,	,	PUNCT
ejpam-6166	312	6	m.	m.	NOUN
ejpam-6166	312	7	and	and	CCONJ
ejpam-6166	312	8	yüzbaşı	yüzbaşı	NOUN
ejpam-6166	312	9	,	,	PUNCT
ejpam-6166	312	10	ş.	ş.	PROPN
ejpam-6166	312	11	and	and	CCONJ
ejpam-6166	312	12	baleanu	baleanu	NOUN
ejpam-6166	312	13	,	,	PUNCT
ejpam-6166	312	14	d	d	PROPN
ejpam-6166	312	15	..	..	PUNCT
ejpam-6166	312	16	taylor	taylor	PROPN
ejpam-6166	312	17	-	-	PUNCT
ejpam-6166	312	18	chebyshev	chebyshev	PROPN
ejpam-6166	312	19	approximation	approximation	NOUN
ejpam-6166	312	20	technique	technique	NOUN
ejpam-6166	312	21	to	to	PART
ejpam-6166	312	22	solve	solve	VERB
ejpam-6166	312	23	the	the	DET
ejpam-6166	312	24	1d	1d	NUM
ejpam-6166	312	25	and	and	CCONJ
ejpam-6166	312	26	2d	2d	NUM
ejpam-6166	312	27	nonlinear	nonlinear	ADJ
ejpam-6166	312	28	burger	burger	NOUN
ejpam-6166	312	29	’s	’s	PART
ejpam-6166	312	30	equations	equation	NOUN
ejpam-6166	312	31	.	.	PUNCT
ejpam-6166	313	1	math	math	NOUN
ejpam-6166	313	2	.	.	PUNCT
ejpam-6166	314	1	sci	sci	PROPN
ejpam-6166	314	2	.	.	PROPN
ejpam-6166	314	3	,	,	PUNCT
ejpam-6166	314	4	16:459–471	16:459–471	NUM
ejpam-6166	314	5	,	,	PUNCT
ejpam-6166	314	6	2022	2022	NUM
ejpam-6166	314	7	.	.	PUNCT
ejpam-6166	315	1	[	[	X
ejpam-6166	315	2	24	24	NUM
ejpam-6166	315	3	]	]	PUNCT
ejpam-6166	315	4	m.	m.	NOUN
ejpam-6166	315	5	m.	m.	NOUN
ejpam-6166	315	6	khader	khader	PROPN
ejpam-6166	315	7	and	and	CCONJ
ejpam-6166	315	8	m.	m.	PROPN
ejpam-6166	315	9	adel	adel	PROPN
ejpam-6166	315	10	.	.	PUNCT
ejpam-6166	316	1	modeling	modeling	NOUN
ejpam-6166	316	2	and	and	CCONJ
ejpam-6166	316	3	numerical	numerical	PROPN
ejpam-6166	316	4	simulation	simulation	NOUN
ejpam-6166	316	5	for	for	ADP
ejpam-6166	316	6	covering	cover	VERB
ejpam-6166	316	7	the	the	DET
ejpam-6166	316	8	fractional	fractional	ADJ
ejpam-6166	316	9	covid-19	covid-19	PROPN
ejpam-6166	316	10	model	model	NOUN
ejpam-6166	316	11	using	use	VERB
ejpam-6166	316	12	spectral	spectral	ADJ
ejpam-6166	316	13	collocation	collocation	NOUN
ejpam-6166	316	14	-	-	PUNCT
ejpam-6166	316	15	optimization	optimization	NOUN
ejpam-6166	316	16	algorithms	algorithm	NOUN
ejpam-6166	316	17	.	.	PUNCT
ejpam-6166	317	1	fractal	fractal	ADJ
ejpam-6166	317	2	fract	fract	PROPN
ejpam-6166	317	3	.	.	PUNCT
ejpam-6166	317	4	,	,	PUNCT
ejpam-6166	317	5	6:1–19	6:1–19	NUM
ejpam-6166	317	6	,	,	PUNCT
ejpam-6166	317	7	2022	2022	NUM
ejpam-6166	317	8	.	.	PUNCT
ejpam-6166	318	1	[	[	X
ejpam-6166	318	2	25	25	NUM
ejpam-6166	318	3	]	]	PUNCT
ejpam-6166	318	4	a.	a.	NOUN
ejpam-6166	318	5	d’ornafrio	d’ornafrio	PROPN
ejpam-6166	318	6	,	,	PUNCT
ejpam-6166	318	7	u.	u.	PROPN
ejpam-6166	318	8	ledzewicz	ledzewicz	PROPN
ejpam-6166	318	9	h.	h.	PROPN
ejpam-6166	318	10	maurer	maurer	PROPN
ejpam-6166	318	11	and	and	CCONJ
ejpam-6166	318	12	h.	h.	PROPN
ejpam-6166	318	13	schaettler	schaettler	NOUN
ejpam-6166	318	14	.	.	PUNCT
ejpam-6166	319	1	on	on	ADP
ejpam-6166	319	2	optimal	optimal	ADJ
ejpam-6166	319	3	delivery	delivery	NOUN
ejpam-6166	319	4	of	of	ADP
ejpam-6166	319	5	combination	combination	NOUN
ejpam-6166	319	6	therapy	therapy	NOUN
ejpam-6166	319	7	for	for	ADP
ejpam-6166	319	8	tumors	tumor	NOUN
ejpam-6166	319	9	.	.	PUNCT
ejpam-6166	320	1	math	math	NOUN
ejpam-6166	320	2	.	.	PUNCT
ejpam-6166	321	1	biosci	biosci	PROPN
ejpam-6166	321	2	.	.	PUNCT
ejpam-6166	321	3	,	,	PUNCT
ejpam-6166	321	4	222:13–26	222:13–26	NUM
ejpam-6166	321	5	,	,	PUNCT
ejpam-6166	321	6	2009	2009	NUM
ejpam-6166	321	7	.	.	PUNCT
ejpam-6166	322	1	[	[	X
ejpam-6166	322	2	26	26	NUM
ejpam-6166	322	3	]	]	X
ejpam-6166	322	4	w.	w.	PROPN
ejpam-6166	322	5	o.	o.	PROPN
ejpam-6166	322	6	kermarck	kermarck	PROPN
ejpam-6166	322	7	and	and	CCONJ
ejpam-6166	322	8	a.	a.	PROPN
ejpam-6166	322	9	g.	g.	PROPN
ejpam-6166	322	10	m.	m.	PROPN
ejpam-6166	322	11	kendrick	kendrick	PROPN
ejpam-6166	322	12	.	.	PUNCT
ejpam-6166	323	1	contributions	contribution	NOUN
ejpam-6166	323	2	to	to	ADP
ejpam-6166	323	3	the	the	DET
ejpam-6166	323	4	mathematical	mathematical	ADJ
ejpam-6166	323	5	theory	theory	NOUN
ejpam-6166	323	6	of	of	ADP
ejpam-6166	323	7	epidemics	epidemic	NOUN
ejpam-6166	323	8	.	.	PUNCT
ejpam-6166	324	1	proc	proc	PROPN
ejpam-6166	324	2	.	.	PUNCT
ejpam-6166	325	1	r.	r.	PROPN
ejpam-6166	325	2	soc	soc	PROPN
ejpam-6166	325	3	.	.	PUNCT
ejpam-6166	326	1	lond	lond	PROPN
ejpam-6166	326	2	.	.	PUNCT
ejpam-6166	327	1	ser	ser	PROPN
ejpam-6166	327	2	.	.	PUNCT
ejpam-6166	328	1	a	a	DET
ejpam-6166	328	2	,	,	PUNCT
ejpam-6166	328	3	115:700	115:700	PROPN
ejpam-6166	328	4	-	-	SYM
ejpam-6166	328	5	721	721	NUM
ejpam-6166	328	6	,	,	PUNCT
ejpam-6166	328	7	1927	1927	NUM
ejpam-6166	328	8	.	.	PUNCT
ejpam-6166	329	1	[	[	X
ejpam-6166	329	2	27	27	NUM
ejpam-6166	329	3	]	]	X
ejpam-6166	329	4	c.	c.	PROPN
ejpam-6166	329	5	mufudza	mufudza	PROPN
ejpam-6166	329	6	,	,	PUNCT
ejpam-6166	329	7	s.	s.	PROPN
ejpam-6166	329	8	walter	walter	PROPN
ejpam-6166	329	9	and	and	CCONJ
ejpam-6166	329	10	e.	e.	PROPN
ejpam-6166	329	11	t.	t.	PROPN
ejpam-6166	329	12	chiyaka	chiyaka	PROPN
ejpam-6166	329	13	.	.	PUNCT
ejpam-6166	330	1	assessing	assess	VERB
ejpam-6166	330	2	the	the	DET
ejpam-6166	330	3	effects	effect	NOUN
ejpam-6166	330	4	of	of	ADP
ejpam-6166	330	5	estrogen	estrogen	NOUN
ejpam-6166	330	6	on	on	ADP
ejpam-6166	330	7	the	the	DET
ejpam-6166	330	8	dynamics	dynamic	NOUN
ejpam-6166	330	9	of	of	ADP
ejpam-6166	330	10	chemo	chemo	NOUN
ejpam-6166	330	11	-	-	PUNCT
ejpam-6166	330	12	virotherapy	virotherapy	NOUN
ejpam-6166	330	13	cancer	cancer	NOUN
ejpam-6166	330	14	.	.	PUNCT
ejpam-6166	331	1	comput	comput	NOUN
ejpam-6166	331	2	.	.	PUNCT
ejpam-6166	332	1	math	math	NOUN
ejpam-6166	332	2	.	.	PUNCT
ejpam-6166	333	1	methods	method	NOUN
ejpam-6166	333	2	med	me	VERB
ejpam-6166	333	3	.	.	PROPN
ejpam-6166	333	4	,	,	PUNCT
ejpam-6166	333	5	473572:1	473572:1	NUM
ejpam-6166	333	6	-	-	SYM
ejpam-6166	333	7	15	15	NUM
ejpam-6166	333	8	,	,	PUNCT
ejpam-6166	333	9	2012	2012	NUM
ejpam-6166	333	10	.	.	PUNCT
ejpam-6166	334	1	[	[	X
ejpam-6166	334	2	28	28	NUM
ejpam-6166	334	3	]	]	X
ejpam-6166	334	4	z.	z.	PROPN
ejpam-6166	334	5	sabir	sabir	PROPN
ejpam-6166	334	6	,	,	PUNCT
ejpam-6166	334	7	m.	m.	PROPN
ejpam-6166	334	8	munawar	munawar	PROPN
ejpam-6166	334	9	,	,	PUNCT
ejpam-6166	334	10	m.	m.	NOUN
ejpam-6166	334	11	a.	a.	PROPN
ejpam-6166	334	12	abdelkawy	abdelkawy	PROPN
ejpam-6166	334	13	,	,	PUNCT
ejpam-6166	334	14	m.	m.	NOUN
ejpam-6166	334	15	a.	a.	PROPN
ejpam-6166	334	16	z.	z.	PROPN
ejpam-6166	334	17	raja	raja	PROPN
ejpam-6166	334	18	,	,	PUNCT
ejpam-6166	334	19	c.	c.	PROPN
ejpam-6166	334	20	ünlü	ünlü	PROPN
ejpam-6166	334	21	,	,	PUNCT
ejpam-6166	334	22	m.	m.	PROPN
ejpam-6166	334	23	b.	b.	PROPN
ejpam-6166	334	24	jeelani	jeelani	PROPN
ejpam-6166	334	25	and	and	CCONJ
ejpam-6166	334	26	a.	a.	PROPN
ejpam-6166	334	27	s.	s.	PROPN
ejpam-6166	334	28	alnahdi	alnahdi	PROPN
ejpam-6166	334	29	.	.	PUNCT
ejpam-6166	335	1	numerical	numerical	ADJ
ejpam-6166	335	2	investigations	investigation	NOUN
ejpam-6166	335	3	of	of	ADP
ejpam-6166	335	4	the	the	DET
ejpam-6166	335	5	fractional	fractional	ADJ
ejpam-6166	335	6	-	-	PUNCT
ejpam-6166	335	7	order	order	NOUN
ejpam-6166	335	8	mathematical	mathematical	ADJ
ejpam-6166	335	9	model	model	NOUN
ejpam-6166	335	10	underlying	underlie	VERB
ejpam-6166	335	11	immune	immune	NOUN
ejpam-6166	335	12	-	-	PUNCT
ejpam-6166	335	13	chemotherapeutic	chemotherapeutic	NOUN
ejpam-6166	335	14	treatment	treatment	NOUN
ejpam-6166	335	15	for	for	ADP
ejpam-6166	335	16	breast	breast	NOUN
ejpam-6166	335	17	cancer	cancer	NOUN
ejpam-6166	335	18	using	use	VERB
ejpam-6166	335	19	the	the	DET
ejpam-6166	335	20	neural	neural	ADJ
ejpam-6166	335	21	networks	network	NOUN
ejpam-6166	335	22	.	.	PUNCT
ejpam-6166	336	1	fractal	fractal	ADJ
ejpam-6166	336	2	fract	fract	PROPN
ejpam-6166	336	3	.	.	PUNCT
ejpam-6166	336	4	,	,	PUNCT
ejpam-6166	336	5	6:1–16	6:1–16	NUM
ejpam-6166	336	6	,	,	PUNCT
ejpam-6166	336	7	2022	2022	NUM
ejpam-6166	336	8	.	.	PUNCT
ejpam-6166	337	1	[	[	X
ejpam-6166	337	2	29	29	NUM
ejpam-6166	337	3	]	]	PUNCT
ejpam-6166	337	4	a.	a.	NOUN
ejpam-6166	337	5	yousef	yousef	PROPN
ejpam-6166	337	6	,	,	PUNCT
ejpam-6166	337	7	f.	f.	PROPN
ejpam-6166	337	8	bozkurt	bozkurt	PROPN
ejpam-6166	337	9	and	and	CCONJ
ejpam-6166	337	10	t.	t.	PROPN
ejpam-6166	337	11	abdeljawad	abdeljawad	NOUN
ejpam-6166	337	12	.	.	PUNCT
ejpam-6166	338	1	mathematical	mathematical	ADJ
ejpam-6166	338	2	modeling	modeling	NOUN
ejpam-6166	338	3	of	of	ADP
ejpam-6166	338	4	the	the	DET
ejpam-6166	338	5	immunechemotherapeutic	immunechemotherapeutic	ADJ
ejpam-6166	338	6	treatment	treatment	NOUN
ejpam-6166	338	7	of	of	ADP
ejpam-6166	338	8	breast	breast	NOUN
ejpam-6166	338	9	cancer	cancer	NOUN
ejpam-6166	338	10	under	under	ADP
ejpam-6166	338	11	some	some	DET
ejpam-6166	338	12	control	control	NOUN
ejpam-6166	338	13	parameters	parameter	NOUN
ejpam-6166	338	14	.	.	PUNCT
ejpam-6166	339	1	adva	adva	PROPN
ejpam-6166	339	2	.	.	PUNCT
ejpam-6166	340	1	m.	m.	PROPN
ejpam-6166	340	2	adel	adel	PROPN
ejpam-6166	340	3	,	,	PUNCT
ejpam-6166	340	4	m.	m.	NOUN
ejpam-6166	340	5	m.	m.	NOUN
ejpam-6166	340	6	khader	khader	PROPN
ejpam-6166	340	7	,	,	PUNCT
ejpam-6166	340	8	m.	m.	NOUN
ejpam-6166	340	9	messaoudi	messaoudi	PROPN
ejpam-6166	340	10	/	/	SYM
ejpam-6166	340	11	eur	eur	PROPN
ejpam-6166	340	12	.	.	PUNCT
ejpam-6166	341	1	j.	j.	PROPN
ejpam-6166	341	2	pure	pure	PROPN
ejpam-6166	341	3	appl	appl	PROPN
ejpam-6166	341	4	.	.	PROPN
ejpam-6166	341	5	math	math	PROPN
ejpam-6166	341	6	,	,	PUNCT
ejpam-6166	341	7	18	18	NUM
ejpam-6166	341	8	(	(	PUNCT
ejpam-6166	341	9	2	2	NUM
ejpam-6166	341	10	)	)	PUNCT
ejpam-6166	341	11	(	(	PUNCT
ejpam-6166	341	12	2025	2025	NUM
ejpam-6166	341	13	)	)	PUNCT
ejpam-6166	341	14	,	,	PUNCT
ejpam-6166	341	15	6166	6166	NUM
ejpam-6166	341	16	16	16	NUM
ejpam-6166	341	17	of	of	ADP
ejpam-6166	341	18	16	16	NUM
ejpam-6166	341	19	differ	differ	VERB
ejpam-6166	341	20	.	.	PUNCT
ejpam-6166	342	1	equs	equs	PROPN
ejpam-6166	342	2	.	.	PUNCT
ejpam-6166	342	3	,	,	PUNCT
ejpam-6166	342	4	696:1–25	696:1–25	NUM
ejpam-6166	342	5	,	,	PUNCT
ejpam-6166	342	6	2020	2020	NUM
ejpam-6166	342	7	.	.	PUNCT
ejpam-6166	343	1	[	[	X
ejpam-6166	343	2	30	30	NUM
ejpam-6166	343	3	]	]	X
ejpam-6166	343	4	s.	s.	PROPN
ejpam-6166	343	5	i.	i.	PROPN
ejpam-6166	343	6	oke	oke	PROPN
ejpam-6166	343	7	,	,	PUNCT
ejpam-6166	343	8	m.	m.	PROPN
ejpam-6166	343	9	b.	b.	PROPN
ejpam-6166	343	10	matadi	matadi	PROPN
ejpam-6166	343	11	and	and	CCONJ
ejpam-6166	343	12	s.	s.	PROPN
ejpam-6166	343	13	s.	s.	PROPN
ejpam-6166	343	14	xulu	xulu	VERB
ejpam-6166	343	15	.	.	PUNCT
ejpam-6166	344	1	optimal	optimal	ADJ
ejpam-6166	344	2	control	control	NOUN
ejpam-6166	344	3	analysis	analysis	NOUN
ejpam-6166	344	4	of	of	ADP
ejpam-6166	344	5	a	a	DET
ejpam-6166	344	6	mathematical	mathematical	ADJ
ejpam-6166	344	7	model	model	NOUN
ejpam-6166	344	8	for	for	ADP
ejpam-6166	344	9	breast	breast	NOUN
ejpam-6166	344	10	cancer	cancer	NOUN
ejpam-6166	344	11	.	.	PUNCT
ejpam-6166	345	1	math	math	NOUN
ejpam-6166	345	2	.	.	PUNCT
ejpam-6166	346	1	comput	comput	NOUN
ejpam-6166	346	2	.	.	PUNCT
ejpam-6166	347	1	appl	appl	PROPN
ejpam-6166	347	2	.	.	PROPN
ejpam-6166	347	3	,	,	PUNCT
ejpam-6166	347	4	21:1–16	21:1–16	NUM
ejpam-6166	347	5	,	,	PUNCT
ejpam-6166	347	6	2018	2018	NUM
ejpam-6166	347	7	.	.	PUNCT
ejpam-6166	348	1	[	[	X
ejpam-6166	348	2	31	31	NUM
ejpam-6166	348	3	]	]	PUNCT
ejpam-6166	348	4	j.	j.	PROPN
ejpam-6166	348	5	c.	c.	PROPN
ejpam-6166	348	6	mason	mason	PROPN
ejpam-6166	348	7	and	and	CCONJ
ejpam-6166	348	8	d.	d.	PROPN
ejpam-6166	348	9	c.	c.	PROPN
ejpam-6166	348	10	handscomb	handscomb	PROPN
ejpam-6166	348	11	,	,	PUNCT
ejpam-6166	348	12	chebyshev	chebyshev	PROPN
ejpam-6166	348	13	polynomials	polynomial	NOUN
ejpam-6166	348	14	,	,	PUNCT
ejpam-6166	348	15	chapman	chapman	NOUN
ejpam-6166	348	16	and	and	CCONJ
ejpam-6166	348	17	hall	hall	PROPN
ejpam-6166	348	18	/	/	SYM
ejpam-6166	348	19	crc	crc	PROPN
ejpam-6166	348	20	,	,	PUNCT
ejpam-6166	348	21	2002	2002	NUM
ejpam-6166	348	22	.	.	PUNCT
ejpam-6166	349	1	[	[	X
ejpam-6166	349	2	32	32	NUM
ejpam-6166	349	3	]	]	PUNCT
ejpam-6166	349	4	m.	m.	NOUN
ejpam-6166	349	5	h.	h.	PROPN
ejpam-6166	349	6	mudde	mudde	PROPN
ejpam-6166	349	7	,	,	PUNCT
ejpam-6166	349	8	chebyshev	chebyshev	NOUN
ejpam-6166	349	9	approximation	approximation	NOUN
ejpam-6166	349	10	,	,	PUNCT
ejpam-6166	349	11	university	university	NOUN
ejpam-6166	349	12	of	of	ADP
ejpam-6166	349	13	groningen	groningen	PROPN
ejpam-6166	349	14	,	,	PUNCT
ejpam-6166	349	15	netherlands	netherlands	PROPN
ejpam-6166	349	16	,	,	PUNCT
ejpam-6166	349	17	faculty	faculty	NOUN
ejpam-6166	349	18	of	of	ADP
ejpam-6166	349	19	science	science	NOUN
ejpam-6166	349	20	and	and	CCONJ
ejpam-6166	349	21	engineering	engineering	NOUN
ejpam-6166	349	22	,	,	PUNCT
ejpam-6166	349	23	2017	2017	NUM
ejpam-6166	349	24	.	.	PUNCT
ejpam-6166	350	1	[	[	X
ejpam-6166	350	2	33	33	NUM
ejpam-6166	350	3	]	]	PUNCT
ejpam-6166	350	4	h.	h.	PROPN
ejpam-6166	350	5	c.	c.	PROPN
ejpam-6166	350	6	thacher	thacher	PROPN
ejpam-6166	350	7	.	.	PUNCT
ejpam-6166	351	1	conversion	conversion	NOUN
ejpam-6166	351	2	of	of	ADP
ejpam-6166	351	3	a	a	DET
ejpam-6166	351	4	power	power	NOUN
ejpam-6166	351	5	to	to	ADP
ejpam-6166	351	6	a	a	DET
ejpam-6166	351	7	series	series	NOUN
ejpam-6166	351	8	of	of	ADP
ejpam-6166	351	9	chebyshev	chebyshev	NOUN
ejpam-6166	351	10	polynomials	polynomial	NOUN
ejpam-6166	351	11	.	.	PUNCT
ejpam-6166	352	1	commun	commun	PROPN
ejpam-6166	352	2	.	.	PUNCT
ejpam-6166	353	1	acm	acm	PROPN
ejpam-6166	353	2	,	,	PUNCT
ejpam-6166	353	3	7:181–182	7:181–182	NUM
ejpam-6166	353	4	,	,	PUNCT
ejpam-6166	353	5	1964	1964	NUM
ejpam-6166	353	6	.	.	PUNCT
ejpam-6166	354	1	[	[	X
ejpam-6166	354	2	34	34	NUM
ejpam-6166	354	3	]	]	PUNCT
ejpam-6166	354	4	m.	m.	NOUN
ejpam-6166	354	5	a.	a.	PROPN
ejpam-6166	354	6	hammad	hammad	PROPN
ejpam-6166	354	7	,	,	PUNCT
ejpam-6166	354	8	i.	i.	PROPN
ejpam-6166	354	9	h.	h.	PROPN
ejpam-6166	354	10	jebril	jebril	PROPN
ejpam-6166	354	11	,	,	PUNCT
ejpam-6166	354	12	s.	s.	PROPN
ejpam-6166	354	13	alshorm	alshorm	PROPN
ejpam-6166	354	14	,	,	PUNCT
ejpam-6166	354	15	i.	i.	PROPN
ejpam-6166	354	16	m.	m.	PROPN
ejpam-6166	354	17	batiha	batiha	VERB
ejpam-6166	354	18	and	and	CCONJ
ejpam-6166	354	19	n.	n.	PROPN
ejpam-6166	354	20	a.	a.	PROPN
ejpam-6166	354	21	hammad	hammad	PROPN
ejpam-6166	354	22	.	.	PROPN
ejpam-6166	355	1	numerical	numerical	ADJ
ejpam-6166	355	2	solution	solution	NOUN
ejpam-6166	355	3	for	for	ADP
ejpam-6166	355	4	a	a	DET
ejpam-6166	355	5	fractional	fractional	ADJ
ejpam-6166	355	6	-	-	PUNCT
ejpam-6166	355	7	order	order	NOUN
ejpam-6166	355	8	mathematical	mathematical	ADJ
ejpam-6166	355	9	model	model	NOUN
ejpam-6166	355	10	of	of	ADP
ejpam-6166	355	11	immune	immune	NOUN
ejpam-6166	355	12	-	-	PUNCT
ejpam-6166	355	13	chemotherapeutic	chemotherapeutic	NOUN
ejpam-6166	355	14	treatment	treatment	NOUN
ejpam-6166	355	15	for	for	ADP
ejpam-6166	355	16	breast	breast	NOUN
ejpam-6166	355	17	cancer	cancer	NOUN
ejpam-6166	355	18	using	use	VERB
ejpam-6166	355	19	the	the	DET
ejpam-6166	355	20	modified	modify	VERB
ejpam-6166	355	21	fractional	fractional	ADJ
ejpam-6166	355	22	formula	formula	NOUN
ejpam-6166	355	23	.	.	PUNCT
ejpam-6166	356	1	int	int	NOUN
ejpam-6166	356	2	.	.	PUNCT
ejpam-6166	357	1	j.	j.	PROPN
ejpam-6166	357	2	anal	anal	PROPN
ejpam-6166	357	3	.	.	PUNCT
ejpam-6166	358	1	appl	appl	PROPN
ejpam-6166	358	2	.	.	PROPN
ejpam-6166	358	3	,	,	PUNCT
ejpam-6166	358	4	21:1–9	21:1–9	NUM
ejpam-6166	358	5	,	,	PUNCT
ejpam-6166	358	6	2023	2023	NUM
ejpam-6166	358	7	.	.	PUNCT
ejpam-6166	359	1	[	[	X
ejpam-6166	359	2	35	35	NUM
ejpam-6166	359	3	]	]	PUNCT
ejpam-6166	359	4	m.	m.	NOUN
ejpam-6166	359	5	m.	m.	NOUN
ejpam-6166	359	6	khader	khader	PROPN
ejpam-6166	359	7	and	and	CCONJ
ejpam-6166	359	8	ali	ali	PROPN
ejpam-6166	359	9	h.	h.	PROPN
ejpam-6166	359	10	tedjani	tedjani	PROPN
ejpam-6166	359	11	.	.	PUNCT
ejpam-6166	360	1	using	use	VERB
ejpam-6166	360	2	the	the	DET
ejpam-6166	360	3	modified	modify	VERB
ejpam-6166	360	4	decomposition	decomposition	NOUN
ejpam-6166	360	5	method	method	NOUN
ejpam-6166	360	6	associated	associate	VERB
ejpam-6166	360	7	with	with	ADP
ejpam-6166	360	8	mohand	mohand	NOUN
ejpam-6166	360	9	transforms	transform	VERB
ejpam-6166	360	10	for	for	ADP
ejpam-6166	360	11	a	a	DET
ejpam-6166	360	12	numerical	numerical	ADJ
ejpam-6166	360	13	simulation	simulation	NOUN
ejpam-6166	360	14	of	of	ADP
ejpam-6166	360	15	the	the	DET
ejpam-6166	360	16	mathematical	mathematical	ADJ
ejpam-6166	360	17	model	model	NOUN
ejpam-6166	360	18	for	for	ADP
ejpam-6166	360	19	breast	breast	NOUN
ejpam-6166	360	20	cancer	cancer	NOUN
ejpam-6166	360	21	.	.	PUNCT
ejpam-6166	361	1	european	european	PROPN
ejpam-6166	361	2	j.	j.	PROPN
ejpam-6166	361	3	of	of	ADP
ejpam-6166	361	4	pure	pure	ADJ
ejpam-6166	361	5	and	and	CCONJ
ejpam-6166	361	6	applied	applied	ADJ
ejpam-6166	361	7	mathematics	mathematic	NOUN
ejpam-6166	361	8	,	,	PUNCT
ejpam-6166	361	9	18:1–13	18:1–13	NUM
ejpam-6166	361	10	,	,	PUNCT
ejpam-6166	361	11	2025	2025	NUM
ejpam-6166	361	12	.	.	PUNCT
ejpam-6166	362	1	[	[	X
ejpam-6166	362	2	36	36	NUM
ejpam-6166	362	3	]	]	PUNCT
ejpam-6166	362	4	k.	k.	PROPN
ejpam-6166	362	5	parand	parand	PROPN
ejpam-6166	362	6	and	and	CCONJ
ejpam-6166	362	7	m.	m.	NOUN
ejpam-6166	362	8	delkhosh	delkhosh	PROPN
ejpam-6166	362	9	.	.	PUNCT
ejpam-6166	363	1	operational	operational	ADJ
ejpam-6166	363	2	matrices	matrix	NOUN
ejpam-6166	363	3	to	to	PART
ejpam-6166	363	4	solve	solve	VERB
ejpam-6166	363	5	nonlinear	nonlinear	ADJ
ejpam-6166	363	6	volterrafredholm	volterrafredholm	NOUN
ejpam-6166	363	7	integro	integro	ADJ
ejpam-6166	363	8	-	-	PUNCT
ejpam-6166	363	9	differential	differential	NOUN
ejpam-6166	363	10	equations	equation	NOUN
ejpam-6166	363	11	of	of	ADP
ejpam-6166	363	12	multi	multi	ADJ
ejpam-6166	363	13	-	-	ADJ
ejpam-6166	363	14	arbitrary	arbitrary	ADJ
ejpam-6166	363	15	order.gazi	order.gazi	PROPN
ejpam-6166	363	16	university	university	NOUN
ejpam-6166	363	17	journal	journal	NOUN
ejpam-6166	363	18	of	of	ADP
ejpam-6166	363	19	science	science	NOUN
ejpam-6166	363	20	,	,	PUNCT
ejpam-6166	363	21	29:895–907	29:895–907	NUM
ejpam-6166	363	22	,	,	PUNCT
ejpam-6166	363	23	2016	2016	NUM
ejpam-6166	363	24	.	.	PUNCT