id	sid	tid	token	lemma	pos
ejpam-5363	1	1	european	european	PROPN
ejpam-5363	1	2	journal	journal	PROPN
ejpam-5363	1	3	of	of	ADP
ejpam-5363	1	4	pure	pure	ADJ
ejpam-5363	1	5	and	and	CCONJ
ejpam-5363	1	6	applied	apply	VERB
ejpam-5363	1	7	mathematics	mathematic	NOUN
ejpam-5363	1	8	vol	vol	NOUN
ejpam-5363	1	9	.	.	PROPN
ejpam-5363	2	1	17	17	NUM
ejpam-5363	2	2	,	,	PUNCT
ejpam-5363	2	3	no	no	INTJ
ejpam-5363	2	4	.	.	NOUN
ejpam-5363	2	5	4	4	NUM
ejpam-5363	2	6	,	,	PUNCT
ejpam-5363	2	7	2024	2024	NUM
ejpam-5363	2	8	,	,	PUNCT
ejpam-5363	2	9	2812	2812	NUM
ejpam-5363	2	10	-	-	SYM
ejpam-5363	2	11	2827	2827	NUM
ejpam-5363	2	12	issn	issn	VERB
ejpam-5363	2	13	1307	1307	NUM
ejpam-5363	2	14	-	-	SYM
ejpam-5363	2	15	5543	5543	NUM
ejpam-5363	2	16	–	–	PUNCT
ejpam-5363	2	17	ejpam.com	ejpam.com	X
ejpam-5363	2	18	published	publish	VERB
ejpam-5363	2	19	by	by	ADP
ejpam-5363	2	20	new	new	PROPN
ejpam-5363	2	21	york	york	PROPN
ejpam-5363	2	22	business	business	PROPN
ejpam-5363	2	23	global	global	ADJ
ejpam-5363	2	24	comparative	comparative	ADJ
ejpam-5363	2	25	analysis	analysis	NOUN
ejpam-5363	2	26	of	of	ADP
ejpam-5363	2	27	modified	modified	ADJ
ejpam-5363	2	28	admoian	admoian	ADJ
ejpam-5363	2	29	decomposition	decomposition	NOUN
ejpam-5363	2	30	method	method	NOUN
ejpam-5363	2	31	and	and	CCONJ
ejpam-5363	2	32	homotopy	homotopy	VERB
ejpam-5363	2	33	perturbation	perturbation	NOUN
ejpam-5363	2	34	mohand	mohand	NOUN
ejpam-5363	2	35	transform	transform	VERB
ejpam-5363	2	36	method	method	NOUN
ejpam-5363	2	37	for	for	ADP
ejpam-5363	2	38	solving	solve	VERB
ejpam-5363	2	39	burger	burger	NOUN
ejpam-5363	2	40	’s	’s	PART
ejpam-5363	2	41	equations	equation	NOUN
ejpam-5363	2	42	mohamed	mohamed	PROPN
ejpam-5363	2	43	adel1,∗	adel1,∗	PROPN
ejpam-5363	2	44	,	,	PUNCT
ejpam-5363	2	45	mohamed	mohamed	PROPN
ejpam-5363	2	46	m.	m.	PROPN
ejpam-5363	2	47	khader2	khader2	PROPN
ejpam-5363	2	48	,	,	PUNCT
ejpam-5363	2	49	taghreed	taghreed	NOUN
ejpam-5363	2	50	a.	a.	NOUN
ejpam-5363	2	51	assiri3	assiri3	PROPN
ejpam-5363	2	52	1	1	NUM
ejpam-5363	2	53	department	department	NOUN
ejpam-5363	2	54	of	of	ADP
ejpam-5363	2	55	mathematics	mathematic	NOUN
ejpam-5363	2	56	,	,	PUNCT
ejpam-5363	2	57	faculty	faculty	NOUN
ejpam-5363	2	58	of	of	ADP
ejpam-5363	2	59	science	science	NOUN
ejpam-5363	2	60	,	,	PUNCT
ejpam-5363	2	61	islamic	islamic	PROPN
ejpam-5363	2	62	university	university	PROPN
ejpam-5363	2	63	of	of	ADP
ejpam-5363	2	64	madinah	madinah	PROPN
ejpam-5363	2	65	,	,	PUNCT
ejpam-5363	2	66	medina	medina	PROPN
ejpam-5363	2	67	,	,	PUNCT
ejpam-5363	2	68	saudi	saudi	PROPN
ejpam-5363	2	69	arabia	arabia	PROPN
ejpam-5363	2	70	2	2	NUM
ejpam-5363	2	71	department	department	NOUN
ejpam-5363	2	72	of	of	ADP
ejpam-5363	2	73	mathematics	mathematic	NOUN
ejpam-5363	2	74	and	and	CCONJ
ejpam-5363	2	75	statistics	statistic	NOUN
ejpam-5363	2	76	,	,	PUNCT
ejpam-5363	2	77	college	college	NOUN
ejpam-5363	2	78	of	of	ADP
ejpam-5363	2	79	science	science	NOUN
ejpam-5363	2	80	,	,	PUNCT
ejpam-5363	2	81	imam	imam	PROPN
ejpam-5363	2	82	mohammad	mohammad	PROPN
ejpam-5363	2	83	ibn	ibn	PROPN
ejpam-5363	2	84	saud	saud	PROPN
ejpam-5363	2	85	islamic	islamic	PROPN
ejpam-5363	2	86	university	university	PROPN
ejpam-5363	2	87	(	(	PUNCT
ejpam-5363	2	88	imsiu	imsiu	PROPN
ejpam-5363	2	89	)	)	PUNCT
ejpam-5363	2	90	,	,	PUNCT
ejpam-5363	2	91	riyadh	riyadh	PROPN
ejpam-5363	2	92	,	,	PUNCT
ejpam-5363	2	93	saudi	saudi	PROPN
ejpam-5363	2	94	arabia	arabia	PROPN
ejpam-5363	2	95	3	3	NUM
ejpam-5363	2	96	mathematics	mathematics	PROPN
ejpam-5363	2	97	department	department	NOUN
ejpam-5363	2	98	,	,	PUNCT
ejpam-5363	2	99	faculty	faculty	NOUN
ejpam-5363	2	100	of	of	ADP
ejpam-5363	2	101	sciences	science	NOUN
ejpam-5363	2	102	,	,	PUNCT
ejpam-5363	2	103	umm	umm	INTJ
ejpam-5363	2	104	al	al	PROPN
ejpam-5363	2	105	-	-	PUNCT
ejpam-5363	2	106	qura	qura	PROPN
ejpam-5363	2	107	university	university	PROPN
ejpam-5363	2	108	,	,	PUNCT
ejpam-5363	2	109	makkah	makkah	PROPN
ejpam-5363	2	110	,	,	PUNCT
ejpam-5363	2	111	saudi	saudi	PROPN
ejpam-5363	2	112	arabia	arabia	PROPN
ejpam-5363	2	113	abstract	abstract	NOUN
ejpam-5363	2	114	.	.	PUNCT
ejpam-5363	3	1	this	this	DET
ejpam-5363	3	2	article	article	NOUN
ejpam-5363	3	3	examines	examine	VERB
ejpam-5363	3	4	the	the	DET
ejpam-5363	3	5	analytical	analytical	ADJ
ejpam-5363	3	6	solution	solution	NOUN
ejpam-5363	3	7	for	for	ADP
ejpam-5363	3	8	burger	burger	NOUN
ejpam-5363	3	9	’s	’s	PART
ejpam-5363	3	10	equations	equation	NOUN
ejpam-5363	3	11	utilizing	utilize	VERB
ejpam-5363	3	12	madm	madm	NOUN
ejpam-5363	3	13	and	and	CCONJ
ejpam-5363	3	14	ahpmtm	ahpmtm	ADJ
ejpam-5363	3	15	.	.	PUNCT
ejpam-5363	4	1	we	we	PRON
ejpam-5363	4	2	compare	compare	VERB
ejpam-5363	4	3	both	both	DET
ejpam-5363	4	4	analytical	analytical	ADJ
ejpam-5363	4	5	methods	method	NOUN
ejpam-5363	4	6	for	for	ADP
ejpam-5363	4	7	convergence	convergence	NOUN
ejpam-5363	4	8	.	.	PUNCT
ejpam-5363	5	1	the	the	DET
ejpam-5363	5	2	madm	madm	NOUN
ejpam-5363	5	3	uses	use	VERB
ejpam-5363	5	4	a	a	DET
ejpam-5363	5	5	novel	novel	ADJ
ejpam-5363	5	6	integral	integral	ADJ
ejpam-5363	5	7	transform	transform	NOUN
ejpam-5363	5	8	(	(	PUNCT
ejpam-5363	5	9	the	the	DET
ejpam-5363	5	10	mohand	mohand	NOUN
ejpam-5363	5	11	transform	transform	NOUN
ejpam-5363	5	12	)	)	PUNCT
ejpam-5363	5	13	with	with	ADP
ejpam-5363	5	14	the	the	DET
ejpam-5363	5	15	adomian	adomian	NOUN
ejpam-5363	5	16	decomposition	decomposition	NOUN
ejpam-5363	5	17	method	method	NOUN
ejpam-5363	5	18	.	.	PUNCT
ejpam-5363	6	1	the	the	DET
ejpam-5363	6	2	madm	madm	NOUN
ejpam-5363	6	3	solves	solve	VERB
ejpam-5363	6	4	the	the	DET
ejpam-5363	6	5	proposed	propose	VERB
ejpam-5363	6	6	problem	problem	NOUN
ejpam-5363	6	7	using	use	VERB
ejpam-5363	6	8	series	series	NOUN
ejpam-5363	6	9	form	form	NOUN
ejpam-5363	6	10	solutions	solution	NOUN
ejpam-5363	6	11	that	that	PRON
ejpam-5363	6	12	quickly	quickly	ADV
ejpam-5363	6	13	converge	converge	VERB
ejpam-5363	6	14	to	to	ADP
ejpam-5363	6	15	the	the	DET
ejpam-5363	6	16	exact	exact	ADJ
ejpam-5363	6	17	solutions	solution	NOUN
ejpam-5363	6	18	.	.	PUNCT
ejpam-5363	7	1	the	the	DET
ejpam-5363	7	2	homotopy	homotopy	NOUN
ejpam-5363	7	3	process	process	NOUN
ejpam-5363	7	4	with	with	ADP
ejpam-5363	7	5	mohand	mohand	NOUN
ejpam-5363	7	6	transformed	transform	VERB
ejpam-5363	7	7	and	and	CCONJ
ejpam-5363	7	8	accelerated	accelerate	VERB
ejpam-5363	7	9	he	he	PRON
ejpam-5363	7	10	’s	’s	PART
ejpam-5363	7	11	polynomials	polynomial	NOUN
ejpam-5363	7	12	underlie	underlie	VERB
ejpam-5363	7	13	the	the	DET
ejpam-5363	7	14	novel	novel	ADJ
ejpam-5363	7	15	ahpmtm	ahpmtm	ADJ
ejpam-5363	7	16	approach	approach	NOUN
ejpam-5363	7	17	to	to	PART
ejpam-5363	7	18	accelerate	accelerate	VERB
ejpam-5363	7	19	the	the	DET
ejpam-5363	7	20	convergence	convergence	NOUN
ejpam-5363	7	21	of	of	ADP
ejpam-5363	7	22	the	the	DET
ejpam-5363	7	23	homotopy	homotopy	NOUN
ejpam-5363	7	24	perturbation	perturbation	NOUN
ejpam-5363	7	25	mohand	mohand	NOUN
ejpam-5363	7	26	transform	transform	VERB
ejpam-5363	7	27	method	method	NOUN
ejpam-5363	7	28	(	(	PUNCT
ejpam-5363	7	29	hpmtm	hpmtm	PROPN
ejpam-5363	7	30	)	)	PUNCT
ejpam-5363	7	31	.	.	PUNCT
ejpam-5363	8	1	we	we	PRON
ejpam-5363	8	2	compare	compare	VERB
ejpam-5363	8	3	solutions	solution	NOUN
ejpam-5363	8	4	for	for	ADP
ejpam-5363	8	5	madm	madm	NOUN
ejpam-5363	8	6	and	and	CCONJ
ejpam-5363	8	7	ahpmtm	ahpmtm	ADJ
ejpam-5363	8	8	to	to	ADP
ejpam-5363	8	9	an	an	DET
ejpam-5363	8	10	exact	exact	ADJ
ejpam-5363	8	11	solution	solution	NOUN
ejpam-5363	8	12	.	.	PUNCT
ejpam-5363	9	1	the	the	DET
ejpam-5363	9	2	methodology	methodology	NOUN
ejpam-5363	9	3	can	can	AUX
ejpam-5363	9	4	be	be	AUX
ejpam-5363	9	5	applied	apply	VERB
ejpam-5363	9	6	to	to	ADP
ejpam-5363	9	7	different	different	ADJ
ejpam-5363	9	8	models	model	NOUN
ejpam-5363	9	9	in	in	ADP
ejpam-5363	9	10	applied	applied	ADJ
ejpam-5363	9	11	sciences	science	NOUN
ejpam-5363	9	12	and	and	CCONJ
ejpam-5363	9	13	technology	technology	NOUN
ejpam-5363	9	14	.	.	PUNCT
ejpam-5363	10	1	2020	2020	NUM
ejpam-5363	10	2	mathematics	mathematic	NOUN
ejpam-5363	10	3	subject	subject	NOUN
ejpam-5363	10	4	classifications	classification	NOUN
ejpam-5363	10	5	:	:	PUNCT
ejpam-5363	10	6	34a12	34a12	NUM
ejpam-5363	10	7	,	,	PUNCT
ejpam-5363	10	8	41a30	41a30	NUM
ejpam-5363	10	9	,	,	PUNCT
ejpam-5363	10	10	26c10	26c10	NUM
ejpam-5363	10	11	,	,	PUNCT
ejpam-5363	10	12	47h10	47h10	NUM
ejpam-5363	10	13	,	,	PUNCT
ejpam-5363	10	14	65n20	65n20	NUM
ejpam-5363	10	15	key	key	ADJ
ejpam-5363	10	16	words	word	NOUN
ejpam-5363	10	17	and	and	CCONJ
ejpam-5363	10	18	phrases	phrase	NOUN
ejpam-5363	10	19	:	:	PUNCT
ejpam-5363	10	20	burger	burger	NOUN
ejpam-5363	10	21	’s	’s	PART
ejpam-5363	10	22	equation	equation	NOUN
ejpam-5363	10	23	,	,	PUNCT
ejpam-5363	10	24	modified	modify	VERB
ejpam-5363	10	25	adomian	adomian	NOUN
ejpam-5363	10	26	decomposition	decomposition	NOUN
ejpam-5363	10	27	method	method	NOUN
ejpam-5363	10	28	,	,	PUNCT
ejpam-5363	10	29	homotopy	homotopy	VERB
ejpam-5363	10	30	perturbation	perturbation	NOUN
ejpam-5363	10	31	mohand	mohand	NOUN
ejpam-5363	10	32	transform	transform	NOUN
ejpam-5363	10	33	method	method	NOUN
ejpam-5363	10	34	,	,	PUNCT
ejpam-5363	10	35	analytical	analytical	ADJ
ejpam-5363	10	36	solution	solution	NOUN
ejpam-5363	10	37	1	1	NUM
ejpam-5363	10	38	.	.	PUNCT
ejpam-5363	10	39	introduction	introduction	NOUN
ejpam-5363	10	40	in	in	ADP
ejpam-5363	10	41	mathematical	mathematical	ADJ
ejpam-5363	10	42	language	language	NOUN
ejpam-5363	10	43	,	,	PUNCT
ejpam-5363	10	44	differential	differential	ADJ
ejpam-5363	10	45	equations	equation	NOUN
ejpam-5363	10	46	(	(	PUNCT
ejpam-5363	10	47	des	des	PROPN
ejpam-5363	10	48	)	)	PUNCT
ejpam-5363	10	49	are	be	AUX
ejpam-5363	10	50	major	major	ADJ
ejpam-5363	10	51	sources	source	NOUN
ejpam-5363	10	52	for	for	ADP
ejpam-5363	10	53	modeling	model	VERB
ejpam-5363	10	54	physical	physical	ADJ
ejpam-5363	10	55	phenomena	phenomenon	NOUN
ejpam-5363	10	56	that	that	PRON
ejpam-5363	10	57	arise	arise	VERB
ejpam-5363	10	58	in	in	ADP
ejpam-5363	10	59	applied	apply	VERB
ejpam-5363	10	60	sciences	science	NOUN
ejpam-5363	10	61	and	and	CCONJ
ejpam-5363	10	62	technology	technology	NOUN
ejpam-5363	10	63	.	.	PUNCT
ejpam-5363	11	1	these	these	DET
ejpam-5363	11	2	equations	equation	NOUN
ejpam-5363	11	3	have	have	VERB
ejpam-5363	11	4	different	different	ADJ
ejpam-5363	11	5	parameters	parameter	NOUN
ejpam-5363	11	6	that	that	PRON
ejpam-5363	11	7	describe	describe	VERB
ejpam-5363	11	8	the	the	DET
ejpam-5363	11	9	present	present	ADJ
ejpam-5363	11	10	state	state	NOUN
ejpam-5363	11	11	of	of	ADP
ejpam-5363	11	12	most	most	ADJ
ejpam-5363	11	13	physical	physical	ADJ
ejpam-5363	11	14	phenomena	phenomenon	NOUN
ejpam-5363	11	15	.	.	PUNCT
ejpam-5363	12	1	the	the	DET
ejpam-5363	12	2	des	des	PROPN
ejpam-5363	12	3	have	have	VERB
ejpam-5363	12	4	numerous	numerous	ADJ
ejpam-5363	12	5	applications	application	NOUN
ejpam-5363	12	6	in	in	ADP
ejpam-5363	12	7	real	real	ADJ
ejpam-5363	12	8	-	-	PUNCT
ejpam-5363	12	9	world	world	NOUN
ejpam-5363	12	10	problems	problem	NOUN
ejpam-5363	12	11	,	,	PUNCT
ejpam-5363	12	12	such	such	ADJ
ejpam-5363	12	13	as	as	ADP
ejpam-5363	12	14	in	in	ADP
ejpam-5363	12	15	neural	neural	ADJ
ejpam-5363	12	16	networks	network	NOUN
ejpam-5363	12	17	[	[	X
ejpam-5363	12	18	17	17	NUM
ejpam-5363	12	19	]	]	PUNCT
ejpam-5363	12	20	,	,	PUNCT
ejpam-5363	12	21	the	the	DET
ejpam-5363	12	22	dynamics	dynamic	NOUN
ejpam-5363	12	23	of	of	ADP
ejpam-5363	12	24	the	the	DET
ejpam-5363	12	25	system	system	NOUN
ejpam-5363	12	26	are	be	AUX
ejpam-5363	12	27	largely	largely	ADV
ejpam-5363	12	28	determined	determine	VERB
ejpam-5363	12	29	by	by	ADP
ejpam-5363	12	30	the	the	DET
ejpam-5363	12	31	time	time	NOUN
ejpam-5363	12	32	delay	delay	NOUN
ejpam-5363	12	33	,	,	PUNCT
ejpam-5363	12	34	which	which	PRON
ejpam-5363	12	35	is	be	AUX
ejpam-5363	12	36	a	a	DET
ejpam-5363	12	37	fundamental	fundamental	ADJ
ejpam-5363	12	38	∗corresponding	∗corresponde	VERB
ejpam-5363	12	39	author	author	NOUN
ejpam-5363	12	40	.	.	PUNCT
ejpam-5363	13	1	doi	doi	NOUN
ejpam-5363	13	2	:	:	PUNCT
ejpam-5363	13	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5363	https://doi.org/10.29020/nybg.ejpam.v17i4.5363	ADJ
ejpam-5363	13	4	email	email	NOUN
ejpam-5363	13	5	addresses	address	NOUN
ejpam-5363	13	6	:	:	PUNCT
ejpam-5363	13	7	m.adel@iu.edu.sa	m.adel@iu.edu.sa	PROPN
ejpam-5363	13	8	and	and	CCONJ
ejpam-5363	13	9	adel@sci.cu.edu.eg	adel@sci.cu.edu.eg	PROPN
ejpam-5363	13	10	(	(	PUNCT
ejpam-5363	13	11	m.	m.	NOUN
ejpam-5363	13	12	adel	adel	PROPN
ejpam-5363	13	13	)	)	PUNCT
ejpam-5363	13	14	,	,	PUNCT
ejpam-5363	13	15	mmkhader@imamu.edu.sa	mmkhader@imamu.edu.sa	PROPN
ejpam-5363	13	16	(	(	PUNCT
ejpam-5363	13	17	m.	m.	NOUN
ejpam-5363	13	18	m.	m.	NOUN
ejpam-5363	13	19	khader	khader	PROPN
ejpam-5363	13	20	)	)	PUNCT
ejpam-5363	13	21	,	,	PUNCT
ejpam-5363	13	22	taassiri@uqu.edu.sa	taassiri@uqu.edu.sa	PROPN
ejpam-5363	13	23	(	(	PUNCT
ejpam-5363	13	24	t.	t.	NOUN
ejpam-5363	13	25	a.	a.	NOUN
ejpam-5363	13	26	assiri	assiri	PROPN
ejpam-5363	13	27	)	)	PUNCT
ejpam-5363	13	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5363	14	1	2812	2812	NUM
ejpam-5363	14	2	copyright	copyright	NOUN
ejpam-5363	14	3	:	:	PUNCT
ejpam-5363	14	4	©	©	PROPN
ejpam-5363	14	5	2024	2024	NUM
ejpam-5363	14	6	the	the	DET
ejpam-5363	14	7	author(s	author(s	NOUN
ejpam-5363	14	8	)	)	PUNCT
ejpam-5363	14	9	.	.	PUNCT
ejpam-5363	15	1	(	(	PUNCT
ejpam-5363	15	2	cc	cc	NOUN
ejpam-5363	15	3	by	by	ADP
ejpam-5363	15	4	-	-	PUNCT
ejpam-5363	15	5	nc	nc	PROPN
ejpam-5363	15	6	4.0	4.0	NUM
ejpam-5363	15	7	)	)	PUNCT
ejpam-5363	15	8	m.	m.	NOUN
ejpam-5363	15	9	adel	adel	PROPN
ejpam-5363	15	10	,	,	PUNCT
ejpam-5363	15	11	m.	m.	NOUN
ejpam-5363	15	12	m.	m.	NOUN
ejpam-5363	15	13	khader	khader	PROPN
ejpam-5363	15	14	,	,	PUNCT
ejpam-5363	15	15	t.	t.	PROPN
ejpam-5363	15	16	a.	a.	NOUN
ejpam-5363	15	17	assiri	assiri	PROPN
ejpam-5363	15	18	/	/	SYM
ejpam-5363	15	19	eur	eur	PROPN
ejpam-5363	15	20	.	.	PUNCT
ejpam-5363	16	1	j.	j.	PROPN
ejpam-5363	16	2	pure	pure	PROPN
ejpam-5363	16	3	appl	appl	PROPN
ejpam-5363	16	4	.	.	PROPN
ejpam-5363	16	5	math	math	PROPN
ejpam-5363	16	6	,	,	PUNCT
ejpam-5363	16	7	17	17	NUM
ejpam-5363	16	8	(	(	PUNCT
ejpam-5363	16	9	4	4	NUM
ejpam-5363	16	10	)	)	PUNCT
ejpam-5363	16	11	(	(	PUNCT
ejpam-5363	16	12	2024	2024	NUM
ejpam-5363	16	13	)	)	PUNCT
ejpam-5363	16	14	,	,	PUNCT
ejpam-5363	16	15	2812	2812	NUM
ejpam-5363	16	16	-	-	SYM
ejpam-5363	16	17	2827	2827	NUM
ejpam-5363	16	18	2813	2813	NUM
ejpam-5363	16	19	component	component	NOUN
ejpam-5363	16	20	of	of	ADP
ejpam-5363	16	21	the	the	DET
ejpam-5363	16	22	system	system	NOUN
ejpam-5363	16	23	[	[	X
ejpam-5363	16	24	6	6	NUM
ejpam-5363	16	25	]	]	PUNCT
ejpam-5363	16	26	,	,	PUNCT
ejpam-5363	16	27	delays	delay	NOUN
ejpam-5363	16	28	have	have	AUX
ejpam-5363	16	29	been	be	AUX
ejpam-5363	16	30	demonstrated	demonstrate	VERB
ejpam-5363	16	31	to	to	PART
ejpam-5363	16	32	cause	cause	VERB
ejpam-5363	16	33	oscillations	oscillation	NOUN
ejpam-5363	16	34	in	in	ADP
ejpam-5363	16	35	coupled	couple	VERB
ejpam-5363	16	36	systems	system	NOUN
ejpam-5363	16	37	with	with	ADP
ejpam-5363	16	38	synchronization	synchronization	NOUN
ejpam-5363	16	39	,	,	PUNCT
ejpam-5363	16	40	but	but	CCONJ
ejpam-5363	16	41	they	they	PRON
ejpam-5363	16	42	can	can	AUX
ejpam-5363	16	43	also	also	ADV
ejpam-5363	16	44	improve	improve	VERB
ejpam-5363	16	45	synchronization	synchronization	NOUN
ejpam-5363	16	46	between	between	ADP
ejpam-5363	16	47	coupled	couple	VERB
ejpam-5363	16	48	elements	element	NOUN
ejpam-5363	16	49	[	[	X
ejpam-5363	16	50	16	16	NUM
ejpam-5363	16	51	]	]	PUNCT
ejpam-5363	16	52	,	,	PUNCT
ejpam-5363	16	53	time	time	NOUN
ejpam-5363	16	54	delay	delay	NOUN
ejpam-5363	16	55	laser	laser	NOUN
ejpam-5363	16	56	dynamics	dynamic	NOUN
ejpam-5363	16	57	model	model	NOUN
ejpam-5363	16	58	[	[	X
ejpam-5363	16	59	27	27	NUM
ejpam-5363	16	60	]	]	PUNCT
ejpam-5363	16	61	,	,	PUNCT
ejpam-5363	16	62	traffic	traffic	NOUN
ejpam-5363	16	63	dynamics	dynamic	NOUN
ejpam-5363	16	64	that	that	PRON
ejpam-5363	16	65	include	include	VERB
ejpam-5363	16	66	a	a	DET
ejpam-5363	16	67	delay	delay	NOUN
ejpam-5363	16	68	to	to	PART
ejpam-5363	16	69	account	account	VERB
ejpam-5363	16	70	for	for	ADP
ejpam-5363	16	71	drivers	driver	NOUN
ejpam-5363	16	72	’	'	PUNCT
ejpam-5363	16	73	finite	finite	PROPN
ejpam-5363	16	74	reaction	reaction	NOUN
ejpam-5363	16	75	times	time	NOUN
ejpam-5363	16	76	[	[	X
ejpam-5363	16	77	8	8	NUM
ejpam-5363	16	78	]	]	PUNCT
ejpam-5363	16	79	,	,	PUNCT
ejpam-5363	16	80	a	a	DET
ejpam-5363	16	81	time	time	NOUN
ejpam-5363	16	82	-	-	PUNCT
ejpam-5363	16	83	delayed	delay	VERB
ejpam-5363	16	84	compensation	compensation	NOUN
ejpam-5363	16	85	applied	apply	VERB
ejpam-5363	16	86	to	to	ADP
ejpam-5363	16	87	both	both	DET
ejpam-5363	16	88	the	the	DET
ejpam-5363	16	89	local	local	ADJ
ejpam-5363	16	90	and	and	CCONJ
ejpam-5363	16	91	remote	remote	ADJ
ejpam-5363	16	92	sites	site	NOUN
ejpam-5363	16	93	of	of	ADP
ejpam-5363	16	94	the	the	DET
ejpam-5363	16	95	teleportation	teleportation	NOUN
ejpam-5363	16	96	system	system	NOUN
ejpam-5363	16	97	can	can	AUX
ejpam-5363	16	98	be	be	AUX
ejpam-5363	16	99	used	use	VERB
ejpam-5363	16	100	to	to	PART
ejpam-5363	16	101	stabilize	stabilize	VERB
ejpam-5363	16	102	the	the	DET
ejpam-5363	16	103	control	control	NOUN
ejpam-5363	16	104	for	for	ADP
ejpam-5363	16	105	teleporting	teleport	VERB
ejpam-5363	16	106	mobile	mobile	ADJ
ejpam-5363	16	107	robots	robot	NOUN
ejpam-5363	16	108	[	[	X
ejpam-5363	16	109	30	30	NUM
ejpam-5363	16	110	]	]	PUNCT
ejpam-5363	16	111	,	,	PUNCT
ejpam-5363	16	112	time	time	NOUN
ejpam-5363	16	113	delay	delay	NOUN
ejpam-5363	16	114	for	for	ADP
ejpam-5363	16	115	controlling	control	VERB
ejpam-5363	16	116	unstable	unstable	ADJ
ejpam-5363	16	117	motion	motion	NOUN
ejpam-5363	16	118	[	[	X
ejpam-5363	16	119	15	15	NUM
ejpam-5363	16	120	]	]	PUNCT
ejpam-5363	16	121	,	,	PUNCT
ejpam-5363	16	122	the	the	DET
ejpam-5363	16	123	non	non	ADJ
ejpam-5363	16	124	-	-	ADJ
ejpam-5363	16	125	instantaneous	instantaneous	ADJ
ejpam-5363	16	126	consequences	consequence	NOUN
ejpam-5363	16	127	of	of	ADP
ejpam-5363	16	128	relaxation	relaxation	NOUN
ejpam-5363	16	129	stresses	stress	NOUN
ejpam-5363	16	130	in	in	ADP
ejpam-5363	16	131	some	some	DET
ejpam-5363	16	132	materials	material	NOUN
ejpam-5363	16	133	’	'	PUNCT
ejpam-5363	16	134	delay	delay	NOUN
ejpam-5363	16	135	system	system	NOUN
ejpam-5363	16	136	of	of	ADP
ejpam-5363	16	137	viscoelastic	viscoelastic	ADJ
ejpam-5363	16	138	effects	effect	NOUN
ejpam-5363	16	139	[	[	X
ejpam-5363	16	140	28	28	NUM
ejpam-5363	16	141	]	]	PUNCT
ejpam-5363	16	142	.	.	PUNCT
ejpam-5363	17	1	the	the	DET
ejpam-5363	17	2	solutions	solution	NOUN
ejpam-5363	17	3	such	such	ADJ
ejpam-5363	17	4	as	as	ADP
ejpam-5363	17	5	type	type	NOUN
ejpam-5363	17	6	des	des	X
ejpam-5363	17	7	are	be	AUX
ejpam-5363	17	8	investigated	investigate	VERB
ejpam-5363	17	9	by	by	ADP
ejpam-5363	17	10	different	different	ADJ
ejpam-5363	17	11	researchers	researcher	NOUN
ejpam-5363	17	12	.	.	PUNCT
ejpam-5363	18	1	the	the	DET
ejpam-5363	18	2	boubaker	boubaker	NOUN
ejpam-5363	18	3	used	use	VERB
ejpam-5363	18	4	polynomials	polynomial	NOUN
ejpam-5363	18	5	to	to	PART
ejpam-5363	18	6	solve	solve	VERB
ejpam-5363	18	7	des	des	X
ejpam-5363	18	8	[	[	X
ejpam-5363	18	9	14	14	NUM
ejpam-5363	18	10	]	]	PUNCT
ejpam-5363	18	11	.	.	PUNCT
ejpam-5363	19	1	sedaghat	sedaghat	INTJ
ejpam-5363	19	2	et	et	PROPN
ejpam-5363	19	3	al	al	PROPN
ejpam-5363	19	4	.	.	PROPN
ejpam-5363	19	5	proposed	propose	VERB
ejpam-5363	19	6	a	a	DET
ejpam-5363	19	7	new	new	ADJ
ejpam-5363	19	8	numerical	numerical	ADJ
ejpam-5363	19	9	technique	technique	NOUN
ejpam-5363	19	10	based	base	VERB
ejpam-5363	19	11	on	on	ADP
ejpam-5363	19	12	the	the	DET
ejpam-5363	19	13	transferred	transfer	VERB
ejpam-5363	19	14	chebyshev	chebyshev	NOUN
ejpam-5363	19	15	polynomials	polynomial	NOUN
ejpam-5363	19	16	.	.	PUNCT
ejpam-5363	20	1	also	also	ADV
ejpam-5363	20	2	they	they	PRON
ejpam-5363	20	3	used	use	VERB
ejpam-5363	20	4	the	the	DET
ejpam-5363	20	5	variational	variational	ADJ
ejpam-5363	20	6	iteration	iteration	NOUN
ejpam-5363	20	7	technique	technique	NOUN
ejpam-5363	20	8	for	for	ADP
ejpam-5363	20	9	solving	solve	VERB
ejpam-5363	20	10	the	the	DET
ejpam-5363	20	11	pantograph	pantograph	NOUN
ejpam-5363	20	12	equation	equation	NOUN
ejpam-5363	20	13	with	with	ADP
ejpam-5363	20	14	delay	delay	NOUN
ejpam-5363	20	15	,	,	PUNCT
ejpam-5363	20	16	cevik	cevik	NOUN
ejpam-5363	20	17	implemented	implement	VERB
ejpam-5363	20	18	the	the	DET
ejpam-5363	20	19	perturbation	perturbation	NOUN
ejpam-5363	20	20	method	method	NOUN
ejpam-5363	20	21	with	with	ADP
ejpam-5363	20	22	an	an	DET
ejpam-5363	20	23	iteration	iteration	NOUN
ejpam-5363	20	24	algorithm	algorithm	NOUN
ejpam-5363	20	25	for	for	ADP
ejpam-5363	20	26	the	the	DET
ejpam-5363	20	27	selected	select	VERB
ejpam-5363	20	28	des	de	NOUN
ejpam-5363	20	29	[	[	X
ejpam-5363	20	30	4	4	NUM
ejpam-5363	20	31	]	]	PUNCT
ejpam-5363	20	32	.	.	PUNCT
ejpam-5363	21	1	the	the	DET
ejpam-5363	21	2	solution	solution	NOUN
ejpam-5363	21	3	of	of	ADP
ejpam-5363	21	4	high	high	ADJ
ejpam-5363	21	5	-	-	PUNCT
ejpam-5363	21	6	order	order	NOUN
ejpam-5363	21	7	des	des	X
ejpam-5363	21	8	is	be	AUX
ejpam-5363	21	9	approximated	approximate	VERB
ejpam-5363	21	10	by	by	ADP
ejpam-5363	21	11	exponential	exponential	ADJ
ejpam-5363	21	12	polynomials	polynomial	NOUN
ejpam-5363	21	13	given	give	VERB
ejpam-5363	21	14	in	in	ADP
ejpam-5363	21	15	[	[	NOUN
ejpam-5363	21	16	9	9	NUM
ejpam-5363	21	17	]	]	PUNCT
ejpam-5363	21	18	.	.	PUNCT
ejpam-5363	22	1	the	the	DET
ejpam-5363	22	2	pantograph	pantograph	NOUN
ejpam-5363	22	3	generalized	generalize	VERB
ejpam-5363	22	4	equation	equation	NOUN
ejpam-5363	22	5	solution	solution	NOUN
ejpam-5363	22	6	with	with	ADP
ejpam-5363	22	7	variable	variable	ADJ
ejpam-5363	22	8	coefficient	coefficient	NOUN
ejpam-5363	22	9	and	and	CCONJ
ejpam-5363	22	10	delay	delay	NOUN
ejpam-5363	22	11	is	be	AUX
ejpam-5363	22	12	found	find	VERB
ejpam-5363	22	13	by	by	ADP
ejpam-5363	22	14	using	use	VERB
ejpam-5363	22	15	bessel	bessel	ADJ
ejpam-5363	22	16	polynomials	polynomial	NOUN
ejpam-5363	22	17	[	[	X
ejpam-5363	22	18	19	19	NUM
ejpam-5363	22	19	]	]	PUNCT
ejpam-5363	22	20	.	.	PUNCT
ejpam-5363	23	1	in	in	ADP
ejpam-5363	23	2	[	[	X
ejpam-5363	23	3	26	26	NUM
ejpam-5363	23	4	]	]	PUNCT
ejpam-5363	23	5	,	,	PUNCT
ejpam-5363	23	6	the	the	DET
ejpam-5363	23	7	author	author	NOUN
ejpam-5363	23	8	used	use	VERB
ejpam-5363	23	9	the	the	DET
ejpam-5363	23	10	homotopy	homotopy	NOUN
ejpam-5363	23	11	perturbation	perturbation	NOUN
ejpam-5363	23	12	method	method	NOUN
ejpam-5363	23	13	(	(	PUNCT
ejpam-5363	23	14	hpm	hpm	NOUN
ejpam-5363	23	15	)	)	PUNCT
ejpam-5363	23	16	for	for	ADP
ejpam-5363	23	17	the	the	DET
ejpam-5363	23	18	numerical	numerical	ADJ
ejpam-5363	23	19	solution	solution	NOUN
ejpam-5363	23	20	of	of	ADP
ejpam-5363	23	21	des	des	PROPN
ejpam-5363	23	22	.	.	PROPN
ejpam-5363	24	1	in	in	ADP
ejpam-5363	24	2	[	[	X
ejpam-5363	24	3	18	18	NUM
ejpam-5363	24	4	]	]	PUNCT
ejpam-5363	24	5	,	,	PUNCT
ejpam-5363	24	6	the	the	DET
ejpam-5363	24	7	authors	author	NOUN
ejpam-5363	24	8	presented	present	VERB
ejpam-5363	24	9	a	a	DET
ejpam-5363	24	10	combination	combination	NOUN
ejpam-5363	24	11	of	of	ADP
ejpam-5363	24	12	two	two	NUM
ejpam-5363	24	13	semi	semi	ADJ
ejpam-5363	24	14	-	-	ADJ
ejpam-5363	24	15	analytical	analytical	ADJ
ejpam-5363	24	16	methods	method	NOUN
ejpam-5363	24	17	called	call	VERB
ejpam-5363	24	18	the	the	DET
ejpam-5363	24	19	”	"	PUNCT
ejpam-5363	24	20	singular	singular	NOUN
ejpam-5363	24	21	perturbed	perturb	VERB
ejpam-5363	24	22	homotopy	homotopy	VERB
ejpam-5363	24	23	analysis	analysis	NOUN
ejpam-5363	24	24	method	method	NOUN
ejpam-5363	24	25	”	"	PUNCT
ejpam-5363	24	26	and	and	CCONJ
ejpam-5363	24	27	applied	apply	VERB
ejpam-5363	24	28	it	it	PRON
ejpam-5363	24	29	to	to	PART
ejpam-5363	24	30	give	give	VERB
ejpam-5363	24	31	a	a	DET
ejpam-5363	24	32	numerical	numerical	ADJ
ejpam-5363	24	33	s‘imulation	s‘imulation	NOUN
ejpam-5363	24	34	for	for	ADP
ejpam-5363	24	35	the	the	DET
ejpam-5363	24	36	combustion	combustion	NOUN
ejpam-5363	24	37	of	of	ADP
ejpam-5363	24	38	spray	spray	NOUN
ejpam-5363	24	39	fuel	fuel	NOUN
ejpam-5363	24	40	droplets	droplet	NOUN
ejpam-5363	24	41	.	.	PUNCT
ejpam-5363	25	1	tohidi	tohidi	NOUN
ejpam-5363	25	2	et	et	PROPN
ejpam-5363	25	3	al	al	PROPN
ejpam-5363	25	4	.	.	PROPN
ejpam-5363	26	1	and	and	CCONJ
ejpam-5363	26	2	akyuz	akyuz	NOUN
ejpam-5363	26	3	and	and	CCONJ
ejpam-5363	26	4	sezer	sezer	PROPN
ejpam-5363	26	5	checked	check	VERB
ejpam-5363	26	6	the	the	DET
ejpam-5363	26	7	validity	validity	NOUN
ejpam-5363	26	8	and	and	CCONJ
ejpam-5363	26	9	applicability	applicability	NOUN
ejpam-5363	26	10	of	of	ADP
ejpam-5363	26	11	the	the	DET
ejpam-5363	26	12	bernoulli	bernoulli	NOUN
ejpam-5363	26	13	collocation	collocation	NOUN
ejpam-5363	26	14	technique	technique	NOUN
ejpam-5363	26	15	for	for	ADP
ejpam-5363	26	16	the	the	DET
ejpam-5363	26	17	solution	solution	NOUN
ejpam-5363	26	18	of	of	ADP
ejpam-5363	26	19	pantograph	pantograph	NOUN
ejpam-5363	26	20	generalized	generalize	VERB
ejpam-5363	26	21	problems	problem	NOUN
ejpam-5363	26	22	[	[	X
ejpam-5363	26	23	10	10	NUM
ejpam-5363	26	24	]	]	PUNCT
ejpam-5363	26	25	.	.	PUNCT
ejpam-5363	27	1	some	some	DET
ejpam-5363	27	2	other	other	ADJ
ejpam-5363	27	3	methods	method	NOUN
ejpam-5363	27	4	are	be	AUX
ejpam-5363	27	5	also	also	ADV
ejpam-5363	27	6	implemented	implement	VERB
ejpam-5363	27	7	for	for	ADP
ejpam-5363	27	8	the	the	DET
ejpam-5363	27	9	solution	solution	NOUN
ejpam-5363	27	10	of	of	ADP
ejpam-5363	27	11	des	de	NOUN
ejpam-5363	27	12	such	such	ADJ
ejpam-5363	27	13	as	as	ADP
ejpam-5363	27	14	the	the	DET
ejpam-5363	27	15	jacobi	jacobi	PROPN
ejpam-5363	27	16	rational	rational	ADJ
ejpam-5363	27	17	gauss	gauss	ADJ
ejpam-5363	27	18	collocation	collocation	NOUN
ejpam-5363	27	19	method	method	NOUN
ejpam-5363	27	20	[	[	X
ejpam-5363	27	21	13	13	NUM
ejpam-5363	27	22	]	]	PUNCT
ejpam-5363	27	23	,	,	PUNCT
ejpam-5363	27	24	runge	runge	NOUN
ejpam-5363	27	25	-	-	PUNCT
ejpam-5363	27	26	kutta	kutta	NOUN
ejpam-5363	27	27	methods	method	NOUN
ejpam-5363	27	28	[	[	X
ejpam-5363	27	29	12	12	NUM
ejpam-5363	27	30	]	]	PUNCT
ejpam-5363	27	31	,	,	PUNCT
ejpam-5363	27	32	hermite	hermite	ADJ
ejpam-5363	27	33	polynomials	polynomial	VERB
ejpam-5363	27	34	[	[	X
ejpam-5363	27	35	21	21	NUM
ejpam-5363	27	36	]	]	PUNCT
ejpam-5363	27	37	,	,	PUNCT
ejpam-5363	27	38	chebyshev	chebyshev	PROPN
ejpam-5363	27	39	wavelet	wavelet	NOUN
ejpam-5363	27	40	method	method	NOUN
ejpam-5363	27	41	[	[	X
ejpam-5363	27	42	11	11	NUM
ejpam-5363	27	43	,	,	PUNCT
ejpam-5363	27	44	29	29	NUM
ejpam-5363	27	45	]	]	PUNCT
ejpam-5363	27	46	and	and	CCONJ
ejpam-5363	27	47	others	other	NOUN
ejpam-5363	27	48	(	(	PUNCT
ejpam-5363	27	49	[	[	X
ejpam-5363	27	50	1	1	NUM
ejpam-5363	27	51	,	,	PUNCT
ejpam-5363	27	52	2	2	NUM
ejpam-5363	27	53	]	]	NUM
ejpam-5363	27	54	)	)	PUNCT
ejpam-5363	27	55	.	.	PUNCT
ejpam-5363	28	1	besides	besides	SCONJ
ejpam-5363	28	2	these	these	DET
ejpam-5363	28	3	methods	method	NOUN
ejpam-5363	28	4	,	,	PUNCT
ejpam-5363	28	5	we	we	PRON
ejpam-5363	28	6	have	have	AUX
ejpam-5363	28	7	implemented	implement	VERB
ejpam-5363	28	8	two	two	NUM
ejpam-5363	28	9	newly	newly	ADV
ejpam-5363	28	10	developed	develop	VERB
ejpam-5363	28	11	approaches	approach	NOUN
ejpam-5363	28	12	for	for	ADP
ejpam-5363	28	13	the	the	DET
ejpam-5363	28	14	analytical	analytical	ADJ
ejpam-5363	28	15	solution	solution	NOUN
ejpam-5363	28	16	of	of	ADP
ejpam-5363	28	17	these	these	DET
ejpam-5363	28	18	proposed	propose	VERB
ejpam-5363	28	19	models	model	NOUN
ejpam-5363	28	20	.	.	PUNCT
ejpam-5363	29	1	the	the	DET
ejpam-5363	29	2	first	first	ADJ
ejpam-5363	29	3	one	one	NOUN
ejpam-5363	29	4	is	be	AUX
ejpam-5363	29	5	the	the	DET
ejpam-5363	29	6	madm	madm	NOUN
ejpam-5363	29	7	,	,	PUNCT
ejpam-5363	29	8	which	which	PRON
ejpam-5363	29	9	is	be	AUX
ejpam-5363	29	10	based	base	VERB
ejpam-5363	29	11	on	on	ADP
ejpam-5363	29	12	the	the	DET
ejpam-5363	29	13	adomain	adomain	NOUN
ejpam-5363	29	14	decomposition	decomposition	NOUN
ejpam-5363	29	15	procedure	procedure	NOUN
ejpam-5363	29	16	with	with	ADP
ejpam-5363	29	17	the	the	DET
ejpam-5363	29	18	mohand	mohand	NOUN
ejpam-5363	29	19	transform	transform	NOUN
ejpam-5363	29	20	.	.	PUNCT
ejpam-5363	30	1	the	the	DET
ejpam-5363	30	2	madm	madm	NOUN
ejpam-5363	30	3	provides	provide	VERB
ejpam-5363	30	4	a	a	DET
ejpam-5363	30	5	series	series	NOUN
ejpam-5363	30	6	-	-	PUNCT
ejpam-5363	30	7	form	form	NOUN
ejpam-5363	30	8	solution	solution	NOUN
ejpam-5363	30	9	that	that	PRON
ejpam-5363	30	10	converges	converge	VERB
ejpam-5363	30	11	to	to	ADP
ejpam-5363	30	12	the	the	DET
ejpam-5363	30	13	exact	exact	ADJ
ejpam-5363	30	14	-	-	PUNCT
ejpam-5363	30	15	form	form	NOUN
ejpam-5363	30	16	solution	solution	NOUN
ejpam-5363	30	17	.	.	PUNCT
ejpam-5363	31	1	the	the	DET
ejpam-5363	31	2	second	second	ADJ
ejpam-5363	31	3	method	method	NOUN
ejpam-5363	31	4	is	be	AUX
ejpam-5363	31	5	the	the	DET
ejpam-5363	31	6	ahpmtm	ahpmtm	ADJ
ejpam-5363	31	7	,	,	PUNCT
ejpam-5363	31	8	which	which	PRON
ejpam-5363	31	9	employs	employ	VERB
ejpam-5363	31	10	the	the	DET
ejpam-5363	31	11	homotopy	homotopy	NOUN
ejpam-5363	31	12	perturbation	perturbation	NOUN
ejpam-5363	31	13	procedure	procedure	NOUN
ejpam-5363	31	14	with	with	ADP
ejpam-5363	31	15	the	the	DET
ejpam-5363	31	16	mohand	mohand	NOUN
ejpam-5363	31	17	transform	transform	NOUN
ejpam-5363	31	18	and	and	CCONJ
ejpam-5363	31	19	utilizes	utilize	NOUN
ejpam-5363	31	20	accelerated	accelerate	VERB
ejpam-5363	31	21	he	he	PRON
ejpam-5363	31	22	’s	’	VERB
ejpam-5363	31	23	polynomials	polynomial	NOUN
ejpam-5363	31	24	for	for	ADP
ejpam-5363	31	25	the	the	DET
ejpam-5363	31	26	nonlinearity	nonlinearity	NOUN
ejpam-5363	31	27	terms	term	NOUN
ejpam-5363	31	28	.	.	PUNCT
ejpam-5363	32	1	solving	solve	VERB
ejpam-5363	32	2	nonlinear	nonlinear	ADJ
ejpam-5363	32	3	burger	burger	NOUN
ejpam-5363	32	4	’s	’s	PART
ejpam-5363	32	5	des	des	PROPN
ejpam-5363	32	6	verifies	verifie	NOUN
ejpam-5363	32	7	the	the	DET
ejpam-5363	32	8	applicability	applicability	NOUN
ejpam-5363	32	9	and	and	CCONJ
ejpam-5363	32	10	validity	validity	NOUN
ejpam-5363	32	11	of	of	ADP
ejpam-5363	32	12	these	these	DET
ejpam-5363	32	13	methods	method	NOUN
ejpam-5363	32	14	.	.	PUNCT
ejpam-5363	33	1	we	we	PRON
ejpam-5363	33	2	compare	compare	VERB
ejpam-5363	33	3	the	the	DET
ejpam-5363	33	4	obtained	obtain	VERB
ejpam-5363	33	5	results	result	NOUN
ejpam-5363	33	6	using	use	VERB
ejpam-5363	33	7	tables	table	NOUN
ejpam-5363	33	8	and	and	CCONJ
ejpam-5363	33	9	plotting	plotting	NOUN
ejpam-5363	33	10	.	.	PUNCT
ejpam-5363	34	1	we	we	PRON
ejpam-5363	34	2	prearrange	prearrange	VERB
ejpam-5363	34	3	the	the	DET
ejpam-5363	34	4	rest	rest	NOUN
ejpam-5363	34	5	of	of	ADP
ejpam-5363	34	6	the	the	DET
ejpam-5363	34	7	article	article	NOUN
ejpam-5363	34	8	as	as	SCONJ
ejpam-5363	34	9	follows	follow	VERB
ejpam-5363	34	10	:	:	PUNCT
ejpam-5363	34	11	in	in	ADP
ejpam-5363	34	12	section	section	NOUN
ejpam-5363	34	13	2	2	NUM
ejpam-5363	34	14	,	,	PUNCT
ejpam-5363	34	15	we	we	PRON
ejpam-5363	34	16	introduce	introduce	VERB
ejpam-5363	34	17	the	the	DET
ejpam-5363	34	18	studied	studied	ADJ
ejpam-5363	34	19	problem	problem	NOUN
ejpam-5363	34	20	;	;	PUNCT
ejpam-5363	34	21	in	in	ADP
ejpam-5363	34	22	section	section	NOUN
ejpam-5363	34	23	3	3	NUM
ejpam-5363	34	24	,	,	PUNCT
ejpam-5363	34	25	we	we	PRON
ejpam-5363	34	26	define	define	VERB
ejpam-5363	34	27	the	the	DET
ejpam-5363	34	28	fundamental	fundamental	ADJ
ejpam-5363	34	29	concepts	concept	NOUN
ejpam-5363	34	30	for	for	ADP
ejpam-5363	34	31	completing	complete	VERB
ejpam-5363	34	32	this	this	DET
ejpam-5363	34	33	research	research	NOUN
ejpam-5363	34	34	work	work	NOUN
ejpam-5363	34	35	;	;	PUNCT
ejpam-5363	34	36	in	in	ADP
ejpam-5363	34	37	section	section	NOUN
ejpam-5363	34	38	4	4	NUM
ejpam-5363	34	39	,	,	PUNCT
ejpam-5363	34	40	we	we	PRON
ejpam-5363	34	41	elaborate	elaborate	VERB
ejpam-5363	34	42	on	on	ADP
ejpam-5363	34	43	the	the	DET
ejpam-5363	34	44	madm	madm	ADJ
ejpam-5363	34	45	general	general	ADJ
ejpam-5363	34	46	procedure	procedure	NOUN
ejpam-5363	34	47	;	;	PUNCT
ejpam-5363	34	48	in	in	ADP
ejpam-5363	34	49	section	section	NOUN
ejpam-5363	34	50	5	5	NUM
ejpam-5363	34	51	,	,	PUNCT
ejpam-5363	34	52	we	we	PRON
ejpam-5363	34	53	explain	explain	VERB
ejpam-5363	34	54	the	the	DET
ejpam-5363	34	55	new	new	ADJ
ejpam-5363	34	56	ahpmtm	ahpmtm	NOUN
ejpam-5363	34	57	for	for	ADP
ejpam-5363	34	58	the	the	DET
ejpam-5363	34	59	solution	solution	NOUN
ejpam-5363	34	60	of	of	ADP
ejpam-5363	34	61	nonlinear	nonlinear	ADJ
ejpam-5363	34	62	pdes	pde	NOUN
ejpam-5363	34	63	;	;	PUNCT
ejpam-5363	34	64	in	in	ADP
ejpam-5363	34	65	section	section	NOUN
ejpam-5363	34	66	6	6	NUM
ejpam-5363	34	67	,	,	PUNCT
ejpam-5363	34	68	we	we	PRON
ejpam-5363	34	69	consider	consider	VERB
ejpam-5363	34	70	testing	testing	NOUN
ejpam-5363	34	71	problems	problem	NOUN
ejpam-5363	34	72	to	to	PART
ejpam-5363	34	73	ensure	ensure	VERB
ejpam-5363	34	74	the	the	DET
ejpam-5363	34	75	validity	validity	NOUN
ejpam-5363	34	76	and	and	CCONJ
ejpam-5363	34	77	applicability	applicability	NOUN
ejpam-5363	34	78	of	of	ADP
ejpam-5363	34	79	the	the	DET
ejpam-5363	34	80	proposed	propose	VERB
ejpam-5363	34	81	methods	method	NOUN
ejpam-5363	34	82	;	;	PUNCT
ejpam-5363	34	83	in	in	ADP
ejpam-5363	34	84	section	section	NOUN
ejpam-5363	34	85	7	7	NUM
ejpam-5363	34	86	,	,	PUNCT
ejpam-5363	34	87	we	we	PRON
ejpam-5363	34	88	present	present	VERB
ejpam-5363	34	89	the	the	DET
ejpam-5363	34	90	results	result	NOUN
ejpam-5363	34	91	and	and	CCONJ
ejpam-5363	34	92	discussions	discussion	NOUN
ejpam-5363	34	93	;	;	PUNCT
ejpam-5363	34	94	and	and	CCONJ
ejpam-5363	34	95	in	in	ADP
ejpam-5363	34	96	section	section	NOUN
ejpam-5363	34	97	8	8	NUM
ejpam-5363	34	98	,	,	PUNCT
ejpam-5363	34	99	we	we	PRON
ejpam-5363	34	100	conclude	conclude	VERB
ejpam-5363	34	101	the	the	DET
ejpam-5363	34	102	comparison	comparison	NOUN
ejpam-5363	34	103	analysis	analysis	NOUN
ejpam-5363	34	104	.	.	PUNCT
ejpam-5363	35	1	m.	m.	PROPN
ejpam-5363	35	2	adel	adel	PROPN
ejpam-5363	35	3	,	,	PUNCT
ejpam-5363	35	4	m.	m.	NOUN
ejpam-5363	35	5	m.	m.	NOUN
ejpam-5363	35	6	khader	khader	PROPN
ejpam-5363	35	7	,	,	PUNCT
ejpam-5363	35	8	t.	t.	PROPN
ejpam-5363	35	9	a.	a.	NOUN
ejpam-5363	35	10	assiri	assiri	PROPN
ejpam-5363	35	11	/	/	SYM
ejpam-5363	35	12	eur	eur	PROPN
ejpam-5363	35	13	.	.	PUNCT
ejpam-5363	36	1	j.	j.	PROPN
ejpam-5363	36	2	pure	pure	PROPN
ejpam-5363	36	3	appl	appl	PROPN
ejpam-5363	36	4	.	.	PROPN
ejpam-5363	36	5	math	math	PROPN
ejpam-5363	36	6	,	,	PUNCT
ejpam-5363	36	7	17	17	NUM
ejpam-5363	36	8	(	(	PUNCT
ejpam-5363	36	9	4	4	NUM
ejpam-5363	36	10	)	)	PUNCT
ejpam-5363	36	11	(	(	PUNCT
ejpam-5363	36	12	2024	2024	NUM
ejpam-5363	36	13	)	)	PUNCT
ejpam-5363	36	14	,	,	PUNCT
ejpam-5363	36	15	2812	2812	NUM
ejpam-5363	36	16	-	-	SYM
ejpam-5363	36	17	2827	2827	NUM
ejpam-5363	36	18	2814	2814	NUM
ejpam-5363	36	19	2	2	NUM
ejpam-5363	36	20	.	.	PUNCT
ejpam-5363	37	1	the	the	DET
ejpam-5363	37	2	studied	study	VERB
ejpam-5363	37	3	problems	problem	NOUN
ejpam-5363	37	4	in	in	ADP
ejpam-5363	37	5	this	this	DET
ejpam-5363	37	6	article	article	NOUN
ejpam-5363	37	7	,	,	PUNCT
ejpam-5363	37	8	the	the	DET
ejpam-5363	37	9	burger	burger	NOUN
ejpam-5363	37	10	’s	’s	PART
ejpam-5363	37	11	equations	equation	NOUN
ejpam-5363	37	12	are	be	AUX
ejpam-5363	37	13	considered	consider	VERB
ejpam-5363	37	14	as	as	SCONJ
ejpam-5363	37	15	follows	follow	VERB
ejpam-5363	37	16	:	:	PUNCT
ejpam-5363	37	17	ϑt	ϑt	PUNCT
ejpam-5363	37	18	(	(	PUNCT
ejpam-5363	37	19	x	x	NOUN
ejpam-5363	37	20	,	,	PUNCT
ejpam-5363	37	21	t	t	PROPN
ejpam-5363	37	22	)	)	PUNCT
ejpam-5363	37	23	=	=	VERB
ejpam-5363	38	1	ϑxx	ϑxx	NOUN
ejpam-5363	38	2	(	(	PUNCT
ejpam-5363	38	3	x	x	NOUN
ejpam-5363	38	4	,	,	PUNCT
ejpam-5363	38	5	t)ϑx	t)ϑx	PROPN
ejpam-5363	38	6	(	(	PUNCT
ejpam-5363	38	7	x	x	X
ejpam-5363	38	8	,	,	PUNCT
ejpam-5363	38	9	t)−	t)−	PROPN
ejpam-5363	38	10	ϑx	ϑx	INTJ
ejpam-5363	38	11	(	(	PUNCT
ejpam-5363	38	12	x	x	X
ejpam-5363	38	13	,	,	PUNCT
ejpam-5363	38	14	t)−	t)−	PROPN
ejpam-5363	38	15	ϑ	ϑ	X
ejpam-5363	38	16	(	(	PUNCT
ejpam-5363	38	17	x	x	PROPN
ejpam-5363	38	18	,	,	PUNCT
ejpam-5363	38	19	t	t	PROPN
ejpam-5363	38	20	)	)	PUNCT
ejpam-5363	38	21	,	,	PUNCT
ejpam-5363	38	22	t	t	X
ejpam-5363	38	23	>	>	X
ejpam-5363	38	24	0	0	PROPN
ejpam-5363	38	25	,	,	PUNCT
ejpam-5363	38	26	x	x	X
ejpam-5363	38	27	∈	∈	PROPN
ejpam-5363	38	28	r	r	NOUN
ejpam-5363	38	29	,	,	PUNCT
ejpam-5363	38	30	ϑt	ϑt	VERB
ejpam-5363	38	31	(	(	PUNCT
ejpam-5363	38	32	x	x	NOUN
ejpam-5363	38	33	,	,	PUNCT
ejpam-5363	38	34	t	t	PROPN
ejpam-5363	38	35	)	)	PUNCT
ejpam-5363	38	36	=	=	SYM
ejpam-5363	38	37	ϑx	ϑx	INTJ
ejpam-5363	38	38	(	(	PUNCT
ejpam-5363	38	39	x	x	NOUN
ejpam-5363	38	40	,	,	PUNCT
ejpam-5363	38	41	t)ϑ	t)ϑ	PUNCT
ejpam-5363	38	42	(	(	PUNCT
ejpam-5363	38	43	x	x	X
ejpam-5363	38	44	,	,	PUNCT
ejpam-5363	38	45	t	t	PROPN
ejpam-5363	38	46	)	)	PUNCT
ejpam-5363	38	47	+	+	CCONJ
ejpam-5363	38	48	ϑxx	ϑxx	NOUN
ejpam-5363	38	49	(	(	PUNCT
ejpam-5363	38	50	x	x	NOUN
ejpam-5363	38	51	,	,	PUNCT
ejpam-5363	38	52	t	t	PROPN
ejpam-5363	38	53	)	)	PUNCT
ejpam-5363	38	54	+	+	CCONJ
ejpam-5363	38	55	1	1	NUM
ejpam-5363	38	56	2	2	NUM
ejpam-5363	38	57	ϑ	ϑ	X
ejpam-5363	38	58	(	(	PUNCT
ejpam-5363	38	59	x	x	NOUN
ejpam-5363	38	60	,	,	PUNCT
ejpam-5363	38	61	t	t	PROPN
ejpam-5363	38	62	)	)	PUNCT
ejpam-5363	38	63	,	,	PUNCT
ejpam-5363	38	64	t	t	X
ejpam-5363	38	65	>	>	X
ejpam-5363	38	66	0	0	PROPN
ejpam-5363	38	67	,	,	PUNCT
ejpam-5363	38	68	x	x	PROPN
ejpam-5363	38	69	∈	∈	PROPN
ejpam-5363	38	70	r.	r.	PROPN
ejpam-5363	38	71	burger	burger	PROPN
ejpam-5363	38	72	’s	’s	PART
ejpam-5363	38	73	equations	equation	NOUN
ejpam-5363	38	74	can	can	AUX
ejpam-5363	38	75	be	be	AUX
ejpam-5363	38	76	used	use	VERB
ejpam-5363	38	77	to	to	PART
ejpam-5363	38	78	model	model	VERB
ejpam-5363	38	79	dynamics	dynamic	NOUN
ejpam-5363	38	80	and	and	CCONJ
ejpam-5363	38	81	communicate	communicate	VERB
ejpam-5363	38	82	with	with	ADP
ejpam-5363	38	83	acoustic	acoustic	ADJ
ejpam-5363	38	84	waves	wave	NOUN
ejpam-5363	38	85	,	,	PUNCT
ejpam-5363	38	86	reaction	reaction	NOUN
ejpam-5363	38	87	devices	device	NOUN
ejpam-5363	38	88	,	,	PUNCT
ejpam-5363	38	89	convection	convection	NOUN
ejpam-5363	38	90	effects	effect	NOUN
ejpam-5363	38	91	,	,	PUNCT
ejpam-5363	38	92	heat	heat	NOUN
ejpam-5363	38	93	conduction	conduction	NOUN
ejpam-5363	38	94	,	,	PUNCT
ejpam-5363	38	95	diffusion	diffusion	NOUN
ejpam-5363	38	96	transports	transport	NOUN
ejpam-5363	38	97	,	,	PUNCT
ejpam-5363	38	98	and	and	CCONJ
ejpam-5363	38	99	more	more	ADJ
ejpam-5363	38	100	.	.	PUNCT
ejpam-5363	39	1	additional	additional	ADJ
ejpam-5363	39	2	references	reference	NOUN
ejpam-5363	39	3	(	(	PUNCT
ejpam-5363	39	4	[	[	X
ejpam-5363	39	5	24]-[31	24]-[31	NOUN
ejpam-5363	39	6	]	]	PUNCT
ejpam-5363	39	7	)	)	PUNCT
ejpam-5363	39	8	are	be	AUX
ejpam-5363	39	9	included	include	VERB
ejpam-5363	39	10	for	for	ADP
ejpam-5363	39	11	more	more	ADJ
ejpam-5363	39	12	information	information	NOUN
ejpam-5363	39	13	.	.	PUNCT
ejpam-5363	40	1	in	in	ADP
ejpam-5363	40	2	[	[	X
ejpam-5363	40	3	3	3	NUM
ejpam-5363	40	4	]	]	PUNCT
ejpam-5363	40	5	,	,	PUNCT
ejpam-5363	40	6	some	some	DET
ejpam-5363	40	7	well	well	ADV
ejpam-5363	40	8	-	-	PUNCT
ejpam-5363	40	9	known	know	VERB
ejpam-5363	40	10	mathematical	mathematical	ADJ
ejpam-5363	40	11	methods	method	NOUN
ejpam-5363	40	12	for	for	ADP
ejpam-5363	40	13	coupled	couple	VERB
ejpam-5363	40	14	burger	burger	NOUN
ejpam-5363	40	15	’s	’s	PART
ejpam-5363	40	16	equations	equation	NOUN
ejpam-5363	40	17	are	be	AUX
ejpam-5363	40	18	compared	compare	VERB
ejpam-5363	40	19	.	.	PUNCT
ejpam-5363	41	1	this	this	DET
ejpam-5363	41	2	comparison	comparison	NOUN
ejpam-5363	41	3	used	use	VERB
ejpam-5363	41	4	the	the	DET
ejpam-5363	41	5	following	following	ADJ
ejpam-5363	41	6	methods	method	NOUN
ejpam-5363	41	7	:	:	PUNCT
ejpam-5363	41	8	the	the	DET
ejpam-5363	41	9	optimal	optimal	ADJ
ejpam-5363	41	10	homotopy	homotopy	NOUN
ejpam-5363	41	11	asymptotic	asymptotic	ADJ
ejpam-5363	41	12	method	method	NOUN
ejpam-5363	41	13	(	(	PUNCT
ejpam-5363	41	14	oham	oham	NOUN
ejpam-5363	41	15	)	)	PUNCT
ejpam-5363	41	16	,	,	PUNCT
ejpam-5363	41	17	oham	oham	ADP
ejpam-5363	41	18	with	with	ADP
ejpam-5363	41	19	daftardar	daftardar	ADV
ejpam-5363	41	20	-	-	PUNCT
ejpam-5363	41	21	jafari	jafari	ADJ
ejpam-5363	41	22	polynomials	polynomial	NOUN
ejpam-5363	41	23	,	,	PUNCT
ejpam-5363	41	24	laplace	laplace	NOUN
ejpam-5363	41	25	transform	transform	NOUN
ejpam-5363	41	26	adomian	adomian	NOUN
ejpam-5363	41	27	decomposition	decomposition	NOUN
ejpam-5363	41	28	,	,	PUNCT
ejpam-5363	41	29	and	and	CCONJ
ejpam-5363	41	30	homotopy	homotopy	VERB
ejpam-5363	41	31	perturbation	perturbation	NOUN
ejpam-5363	41	32	methods	method	NOUN
ejpam-5363	41	33	.	.	PUNCT
ejpam-5363	42	1	burger	burger	NOUN
ejpam-5363	42	2	’s	’s	PART
ejpam-5363	42	3	model	model	NOUN
ejpam-5363	42	4	has	have	AUX
ejpam-5363	42	5	been	be	AUX
ejpam-5363	42	6	examined	examine	VERB
ejpam-5363	42	7	and	and	CCONJ
ejpam-5363	42	8	researched	research	VERB
ejpam-5363	42	9	by	by	ADP
ejpam-5363	42	10	numerous	numerous	ADJ
ejpam-5363	42	11	scientists	scientist	NOUN
ejpam-5363	42	12	for	for	ADP
ejpam-5363	42	13	various	various	ADJ
ejpam-5363	42	14	fluid	fluid	ADJ
ejpam-5363	42	15	dynamics	dynamic	NOUN
ejpam-5363	42	16	and	and	CCONJ
ejpam-5363	42	17	physical	physical	ADJ
ejpam-5363	42	18	flow	flow	NOUN
ejpam-5363	42	19	issues	issue	NOUN
ejpam-5363	42	20	.	.	PUNCT
ejpam-5363	43	1	burger	burger	NOUN
ejpam-5363	43	2	’s	’s	PART
ejpam-5363	43	3	equation	equation	NOUN
ejpam-5363	43	4	,	,	PUNCT
ejpam-5363	43	5	due	due	ADP
ejpam-5363	43	6	to	to	ADP
ejpam-5363	43	7	the	the	DET
ejpam-5363	43	8	diffusion	diffusion	NOUN
ejpam-5363	43	9	term	term	NOUN
ejpam-5363	43	10	with	with	ADP
ejpam-5363	43	11	viscosity	viscosity	NOUN
ejpam-5363	43	12	coefficient	coefficient	NOUN
ejpam-5363	43	13	and	and	CCONJ
ejpam-5363	43	14	the	the	DET
ejpam-5363	43	15	non	non	ADJ
ejpam-5363	43	16	-	-	ADJ
ejpam-5363	43	17	linear	linear	ADJ
ejpam-5363	43	18	convection	convection	NOUN
ejpam-5363	43	19	term	term	NOUN
ejpam-5363	43	20	,	,	PUNCT
ejpam-5363	43	21	resembles	resemble	VERB
ejpam-5363	43	22	navier	navier	NOUN
ejpam-5363	43	23	-	-	PUNCT
ejpam-5363	43	24	stokes	stoke	NOUN
ejpam-5363	43	25	equations	equation	NOUN
ejpam-5363	43	26	(	(	PUNCT
ejpam-5363	43	27	nses	nse	NOUN
ejpam-5363	43	28	)	)	PUNCT
ejpam-5363	43	29	in	in	ADP
ejpam-5363	43	30	structure	structure	NOUN
ejpam-5363	43	31	.	.	PUNCT
ejpam-5363	44	1	thus	thus	ADV
ejpam-5363	44	2	,	,	PUNCT
ejpam-5363	44	3	one	one	PRON
ejpam-5363	44	4	may	may	AUX
ejpam-5363	44	5	think	think	VERB
ejpam-5363	44	6	of	of	ADP
ejpam-5363	44	7	this	this	DET
ejpam-5363	44	8	equation	equation	NOUN
ejpam-5363	44	9	as	as	ADP
ejpam-5363	44	10	a	a	DET
ejpam-5363	44	11	simplified	simplified	ADJ
ejpam-5363	44	12	version	version	NOUN
ejpam-5363	44	13	of	of	ADP
ejpam-5363	44	14	the	the	DET
ejpam-5363	44	15	nses	nse	NOUN
ejpam-5363	44	16	.	.	PUNCT
ejpam-5363	45	1	3	3	X
ejpam-5363	45	2	.	.	X
ejpam-5363	45	3	basic	basic	ADJ
ejpam-5363	45	4	definitions	definition	NOUN
ejpam-5363	45	5	the	the	DET
ejpam-5363	45	6	mohand	mohand	NOUN
ejpam-5363	45	7	transform	transform	NOUN
ejpam-5363	45	8	has	have	VERB
ejpam-5363	45	9	some	some	DET
ejpam-5363	45	10	useful	useful	ADJ
ejpam-5363	45	11	properties	property	NOUN
ejpam-5363	45	12	,	,	PUNCT
ejpam-5363	45	13	including	include	VERB
ejpam-5363	45	14	linearity	linearity	NOUN
ejpam-5363	45	15	,	,	PUNCT
ejpam-5363	45	16	convolution	convolution	NOUN
ejpam-5363	45	17	,	,	PUNCT
ejpam-5363	45	18	differentiation	differentiation	NOUN
ejpam-5363	45	19	,	,	PUNCT
ejpam-5363	45	20	and	and	CCONJ
ejpam-5363	45	21	inversion	inversion	NOUN
ejpam-5363	45	22	,	,	PUNCT
ejpam-5363	45	23	which	which	PRON
ejpam-5363	45	24	make	make	VERB
ejpam-5363	45	25	it	it	PRON
ejpam-5363	45	26	a	a	DET
ejpam-5363	45	27	powerful	powerful	ADJ
ejpam-5363	45	28	tool	tool	NOUN
ejpam-5363	45	29	in	in	ADP
ejpam-5363	45	30	signal	signal	NOUN
ejpam-5363	45	31	processing	processing	NOUN
ejpam-5363	45	32	and	and	CCONJ
ejpam-5363	45	33	other	other	ADJ
ejpam-5363	45	34	areas	area	NOUN
ejpam-5363	45	35	.	.	PUNCT
ejpam-5363	46	1	it	it	PRON
ejpam-5363	46	2	also	also	ADV
ejpam-5363	46	3	has	have	VERB
ejpam-5363	46	4	some	some	DET
ejpam-5363	46	5	connections	connection	NOUN
ejpam-5363	46	6	with	with	ADP
ejpam-5363	46	7	other	other	ADJ
ejpam-5363	46	8	well	well	ADV
ejpam-5363	46	9	-	-	PUNCT
ejpam-5363	46	10	known	know	VERB
ejpam-5363	46	11	transforms	transform	NOUN
ejpam-5363	46	12	,	,	PUNCT
ejpam-5363	46	13	such	such	ADJ
ejpam-5363	46	14	as	as	ADP
ejpam-5363	46	15	the	the	DET
ejpam-5363	46	16	laplace	laplace	NOUN
ejpam-5363	46	17	transform	transform	NOUN
ejpam-5363	46	18	and	and	CCONJ
ejpam-5363	46	19	the	the	DET
ejpam-5363	46	20	mellin	mellin	PROPN
ejpam-5363	46	21	transform	transform	NOUN
ejpam-5363	46	22	.	.	PUNCT
ejpam-5363	47	1	in	in	ADP
ejpam-5363	47	2	this	this	DET
ejpam-5363	47	3	section	section	NOUN
ejpam-5363	47	4	,	,	PUNCT
ejpam-5363	47	5	we	we	PRON
ejpam-5363	47	6	present	present	VERB
ejpam-5363	47	7	some	some	DET
ejpam-5363	47	8	key	key	ADJ
ejpam-5363	47	9	definitions	definition	NOUN
ejpam-5363	47	10	and	and	CCONJ
ejpam-5363	47	11	introductory	introductory	ADJ
ejpam-5363	47	12	ideas	idea	NOUN
ejpam-5363	47	13	for	for	ADP
ejpam-5363	47	14	the	the	DET
ejpam-5363	47	15	mohand	mohand	NOUN
ejpam-5363	47	16	transform	transform	NOUN
ejpam-5363	47	17	[	[	X
ejpam-5363	47	18	20	20	NUM
ejpam-5363	47	19	]	]	PUNCT
ejpam-5363	47	20	and	and	CCONJ
ejpam-5363	47	21	accelerated	accelerate	VERB
ejpam-5363	47	22	he	he	PRON
ejpam-5363	47	23	’s	’s	PART
ejpam-5363	47	24	polynomials	polynomial	NOUN
ejpam-5363	47	25	.	.	PUNCT
ejpam-5363	48	1	3.1	3.1	NUM
ejpam-5363	48	2	.	.	PUNCT
ejpam-5363	48	3	mohand	mohand	NOUN
ejpam-5363	48	4	transform	transform	VERB
ejpam-5363	48	5	mahgoub	mahgoub	NOUN
ejpam-5363	48	6	and	and	CCONJ
ejpam-5363	48	7	mohand	mohand	NOUN
ejpam-5363	48	8	explained	explain	VERB
ejpam-5363	48	9	the	the	DET
ejpam-5363	48	10	mohand	mohand	NOUN
ejpam-5363	48	11	transform	transform	NOUN
ejpam-5363	48	12	for	for	ADP
ejpam-5363	48	13	the	the	DET
ejpam-5363	48	14	first	first	ADJ
ejpam-5363	48	15	time	time	NOUN
ejpam-5363	48	16	in	in	ADP
ejpam-5363	48	17	2017	2017	NUM
ejpam-5363	48	18	for	for	ADP
ejpam-5363	48	19	the	the	DET
ejpam-5363	48	20	function	function	NOUN
ejpam-5363	48	21	f(t	f(t	PROPN
ejpam-5363	48	22	)	)	PUNCT
ejpam-5363	48	23	for	for	ADP
ejpam-5363	48	24	t	t	PROPN
ejpam-5363	48	25	≥	≥	NOUN
ejpam-5363	48	26	0	0	NUM
ejpam-5363	48	27	.	.	PUNCT
ejpam-5363	49	1	for	for	ADP
ejpam-5363	49	2	a	a	DET
ejpam-5363	49	3	function	function	NOUN
ejpam-5363	49	4	f(t	f(t	PROPN
ejpam-5363	49	5	)	)	PUNCT
ejpam-5363	49	6	,	,	PUNCT
ejpam-5363	49	7	the	the	DET
ejpam-5363	49	8	mohand	mohand	NOUN
ejpam-5363	49	9	transformation	transformation	NOUN
ejpam-5363	49	10	indicated	indicate	VERB
ejpam-5363	49	11	by	by	ADP
ejpam-5363	49	12	m	m	PROPN
ejpam-5363	49	13	is	be	AUX
ejpam-5363	49	14	defined	define	VERB
ejpam-5363	49	15	as	as	ADP
ejpam-5363	49	16	:	:	PUNCT
ejpam-5363	49	17	m{f(t	m{f(t	NUM
ejpam-5363	49	18	)	)	PUNCT
ejpam-5363	49	19	}	}	PUNCT
ejpam-5363	50	1	=	=	SYM
ejpam-5363	50	2	f	f	X
ejpam-5363	50	3	(	(	PUNCT
ejpam-5363	50	4	s	s	NOUN
ejpam-5363	50	5	)	)	PUNCT
ejpam-5363	50	6	=	=	SYM
ejpam-5363	50	7	s2	s2	NOUN
ejpam-5363	50	8	∫	∫	PROPN
ejpam-5363	50	9	∞	∞	PROPN
ejpam-5363	50	10	0	0	PUNCT
ejpam-5363	51	1	f(t)e−stdt	f(t)e−stdt	PROPN
ejpam-5363	51	2	,	,	PUNCT
ejpam-5363	51	3	k1	k1	PROPN
ejpam-5363	51	4	≤	≤	NUM
ejpam-5363	51	5	s	s	PART
ejpam-5363	51	6	≤	≤	NOUN
ejpam-5363	51	7	k2	k2	NOUN
ejpam-5363	51	8	.	.	PUNCT
ejpam-5363	52	1	if	if	SCONJ
ejpam-5363	52	2	the	the	DET
ejpam-5363	52	3	mohand	mohand	NOUN
ejpam-5363	52	4	transform	transform	NOUN
ejpam-5363	52	5	of	of	ADP
ejpam-5363	52	6	a	a	DET
ejpam-5363	52	7	function	function	NOUN
ejpam-5363	52	8	f(t	f(t	NOUN
ejpam-5363	52	9	)	)	PUNCT
ejpam-5363	52	10	is	be	AUX
ejpam-5363	52	11	f	f	PROPN
ejpam-5363	52	12	(	(	PUNCT
ejpam-5363	52	13	s	s	X
ejpam-5363	52	14	)	)	PUNCT
ejpam-5363	52	15	then	then	ADV
ejpam-5363	52	16	f(t	f(t	NOUN
ejpam-5363	52	17	)	)	PUNCT
ejpam-5363	52	18	is	be	AUX
ejpam-5363	52	19	known	know	VERB
ejpam-5363	52	20	as	as	ADP
ejpam-5363	52	21	the	the	DET
ejpam-5363	52	22	inverse	inverse	NOUN
ejpam-5363	52	23	of	of	ADP
ejpam-5363	52	24	f	f	PROPN
ejpam-5363	52	25	(	(	PUNCT
ejpam-5363	52	26	s	s	PROPN
ejpam-5363	52	27	)	)	PUNCT
ejpam-5363	52	28	which	which	PRON
ejpam-5363	52	29	can	can	AUX
ejpam-5363	52	30	be	be	AUX
ejpam-5363	52	31	described	describe	VERB
ejpam-5363	52	32	by	by	ADP
ejpam-5363	52	33	(	(	PUNCT
ejpam-5363	52	34	[	[	X
ejpam-5363	52	35	23	23	NUM
ejpam-5363	52	36	]	]	PUNCT
ejpam-5363	52	37	,	,	PUNCT
ejpam-5363	52	38	[	[	X
ejpam-5363	52	39	25	25	NUM
ejpam-5363	52	40	]	]	PUNCT
ejpam-5363	52	41	):	):	PUNCT
ejpam-5363	52	42	m−1{f	m−1{f	NOUN
ejpam-5363	52	43	(	(	PUNCT
ejpam-5363	52	44	s	s	NOUN
ejpam-5363	52	45	)	)	PUNCT
ejpam-5363	52	46	}	}	PUNCT
ejpam-5363	52	47	=	=	SYM
ejpam-5363	52	48	f(t	f(t	NOUN
ejpam-5363	52	49	)	)	PUNCT
ejpam-5363	52	50	=	=	SYM
ejpam-5363	53	1	1	1	NUM
ejpam-5363	53	2	2π	2π	NOUN
ejpam-5363	53	3	i	i	PRON
ejpam-5363	53	4	∫	∫	VERB
ejpam-5363	53	5	x+i∞	x+i∞	PROPN
ejpam-5363	53	6	x−i∞	x−i∞	PROPN
ejpam-5363	53	7	est	est	PROPN
ejpam-5363	53	8	f	f	X
ejpam-5363	53	9	(	(	PUNCT
ejpam-5363	53	10	s	s	NOUN
ejpam-5363	53	11	)	)	PUNCT
ejpam-5363	53	12	s2	s2	NOUN
ejpam-5363	53	13	ds	ds	NOUN
ejpam-5363	53	14	,	,	PUNCT
ejpam-5363	53	15	m−1	m−1	PROPN
ejpam-5363	53	16	is	be	AUX
ejpam-5363	53	17	the	the	DET
ejpam-5363	53	18	inverse	inverse	NOUN
ejpam-5363	53	19	mohand	mohand	NOUN
ejpam-5363	53	20	operator	operator	NOUN
ejpam-5363	53	21	.	.	PUNCT
ejpam-5363	54	1	some	some	DET
ejpam-5363	54	2	properties	property	NOUN
ejpam-5363	54	3	of	of	ADP
ejpam-5363	54	4	the	the	DET
ejpam-5363	54	5	mohand	mohand	NOUN
ejpam-5363	54	6	transform	transform	NOUN
ejpam-5363	54	7	[	[	X
ejpam-5363	54	8	20	20	NUM
ejpam-5363	54	9	]	]	X
ejpam-5363	54	10	:	:	PUNCT
ejpam-5363	54	11	linearity	linearity	NOUN
ejpam-5363	54	12	property	property	NOUN
ejpam-5363	54	13	for	for	ADP
ejpam-5363	54	14	m	m	PRON
ejpam-5363	54	15	{	{	PUNCT
ejpam-5363	54	16	.	.	PUNCT
ejpam-5363	54	17	}	}	PUNCT
ejpam-5363	54	18	:	:	PUNCT
ejpam-5363	54	19	for	for	ADP
ejpam-5363	54	20	arbitrary	arbitrary	ADJ
ejpam-5363	54	21	constants	constant	NOUN
ejpam-5363	54	22	a1	a1	NOUN
ejpam-5363	54	23	,	,	PUNCT
ejpam-5363	54	24	a2	a2	PROPN
ejpam-5363	54	25	,	,	PUNCT
ejpam-5363	54	26	we	we	PRON
ejpam-5363	54	27	have	have	VERB
ejpam-5363	54	28	m{a1f1(t	m{a1f1(t	VERB
ejpam-5363	54	29	)	)	PUNCT
ejpam-5363	55	1	+	+	CCONJ
ejpam-5363	55	2	a2f2(t	a2f2(t	NOUN
ejpam-5363	55	3	)	)	PUNCT
ejpam-5363	55	4	}	}	PUNCT
ejpam-5363	56	1	=	=	NUM
ejpam-5363	56	2	a1m{f1(t)}+	a1m{f1(t)}+	NOUN
ejpam-5363	56	3	a2m{f2(t	a2m{f2(t	PROPN
ejpam-5363	56	4	)	)	PUNCT
ejpam-5363	56	5	}	}	PUNCT
ejpam-5363	56	6	.	.	PUNCT
ejpam-5363	57	1	m.	m.	PROPN
ejpam-5363	57	2	adel	adel	PROPN
ejpam-5363	57	3	,	,	PUNCT
ejpam-5363	57	4	m.	m.	NOUN
ejpam-5363	57	5	m.	m.	NOUN
ejpam-5363	57	6	khader	khader	PROPN
ejpam-5363	57	7	,	,	PUNCT
ejpam-5363	57	8	t.	t.	PROPN
ejpam-5363	57	9	a.	a.	NOUN
ejpam-5363	57	10	assiri	assiri	PROPN
ejpam-5363	57	11	/	/	SYM
ejpam-5363	57	12	eur	eur	PROPN
ejpam-5363	57	13	.	.	PUNCT
ejpam-5363	58	1	j.	j.	PROPN
ejpam-5363	58	2	pure	pure	PROPN
ejpam-5363	58	3	appl	appl	PROPN
ejpam-5363	58	4	.	.	PROPN
ejpam-5363	58	5	math	math	PROPN
ejpam-5363	58	6	,	,	PUNCT
ejpam-5363	58	7	17	17	NUM
ejpam-5363	58	8	(	(	PUNCT
ejpam-5363	58	9	4	4	NUM
ejpam-5363	58	10	)	)	PUNCT
ejpam-5363	58	11	(	(	PUNCT
ejpam-5363	58	12	2024	2024	NUM
ejpam-5363	58	13	)	)	PUNCT
ejpam-5363	58	14	,	,	PUNCT
ejpam-5363	58	15	2812	2812	NUM
ejpam-5363	58	16	-	-	SYM
ejpam-5363	58	17	2827	2827	NUM
ejpam-5363	58	18	2815	2815	NUM
ejpam-5363	58	19	change	change	NOUN
ejpam-5363	58	20	of	of	ADP
ejpam-5363	58	21	scale	scale	NOUN
ejpam-5363	58	22	property	property	NOUN
ejpam-5363	58	23	:	:	PUNCT
ejpam-5363	58	24	if	if	SCONJ
ejpam-5363	58	25	m{f(t	m{f(t	NUM
ejpam-5363	58	26	)	)	PUNCT
ejpam-5363	58	27	}	}	PUNCT
ejpam-5363	58	28	=	=	SYM
ejpam-5363	58	29	f	f	X
ejpam-5363	58	30	(	(	PUNCT
ejpam-5363	58	31	s	s	NOUN
ejpam-5363	58	32	)	)	PUNCT
ejpam-5363	58	33	,	,	PUNCT
ejpam-5363	58	34	then	then	ADV
ejpam-5363	58	35	m{f(at	m{f(at	PROPN
ejpam-5363	58	36	)	)	PUNCT
ejpam-5363	58	37	}	}	PUNCT
ejpam-5363	58	38	=	=	SYM
ejpam-5363	58	39	af	af	X
ejpam-5363	58	40	(	(	PUNCT
ejpam-5363	58	41	s	s	NOUN
ejpam-5363	58	42	a	a	NOUN
ejpam-5363	58	43	)	)	PUNCT
ejpam-5363	58	44	.	.	PUNCT
ejpam-5363	59	1	shifting	shift	VERB
ejpam-5363	59	2	property	property	NOUN
ejpam-5363	59	3	for	for	ADP
ejpam-5363	59	4	m	m	PRON
ejpam-5363	59	5	{	{	PUNCT
ejpam-5363	59	6	.	.	PUNCT
ejpam-5363	59	7	}	}	PUNCT
ejpam-5363	59	8	:	:	PUNCT
ejpam-5363	59	9	if	if	SCONJ
ejpam-5363	59	10	m{f(t	m{f(t	NUM
ejpam-5363	59	11	)	)	PUNCT
ejpam-5363	59	12	}	}	PUNCT
ejpam-5363	59	13	=	=	SYM
ejpam-5363	59	14	f	f	X
ejpam-5363	59	15	(	(	PUNCT
ejpam-5363	59	16	s	s	NOUN
ejpam-5363	59	17	)	)	PUNCT
ejpam-5363	59	18	,	,	PUNCT
ejpam-5363	59	19	then	then	ADV
ejpam-5363	59	20	m{eatf(t	m{eatf(t	VERB
ejpam-5363	59	21	)	)	PUNCT
ejpam-5363	59	22	}	}	PUNCT
ejpam-5363	59	23	=	=	SYM
ejpam-5363	59	24	s2	s2	NOUN
ejpam-5363	59	25	(	(	PUNCT
ejpam-5363	59	26	s−	s−	PROPN
ejpam-5363	59	27	a)2	a)2	PROPN
ejpam-5363	59	28	f	f	PROPN
ejpam-5363	59	29	(	(	PUNCT
ejpam-5363	59	30	s−	s−	PROPN
ejpam-5363	59	31	a	a	PRON
ejpam-5363	59	32	)	)	PUNCT
ejpam-5363	59	33	.	.	PUNCT
ejpam-5363	60	1	convolution	convolution	NOUN
ejpam-5363	60	2	theorem	theorem	VERB
ejpam-5363	60	3	for	for	ADP
ejpam-5363	60	4	m	m	PROPN
ejpam-5363	60	5	{	{	PUNCT
ejpam-5363	60	6	.	.	PUNCT
ejpam-5363	60	7	}	}	PUNCT
ejpam-5363	60	8	:	:	PUNCT
ejpam-5363	60	9	if	if	SCONJ
ejpam-5363	60	10	m{f1(t	m{f1(t	VERB
ejpam-5363	60	11	)	)	PUNCT
ejpam-5363	60	12	}	}	PUNCT
ejpam-5363	60	13	=	=	PUNCT
ejpam-5363	60	14	f1(s	f1(s	PROPN
ejpam-5363	60	15	)	)	PUNCT
ejpam-5363	60	16	and	and	CCONJ
ejpam-5363	60	17	m{f2(t	m{f2(t	NOUN
ejpam-5363	60	18	)	)	PUNCT
ejpam-5363	60	19	}	}	PUNCT
ejpam-5363	60	20	=	=	SYM
ejpam-5363	61	1	f2(s	f2(s	NOUN
ejpam-5363	61	2	)	)	PUNCT
ejpam-5363	61	3	,	,	PUNCT
ejpam-5363	61	4	then	then	ADV
ejpam-5363	61	5	m	m	VERB
ejpam-5363	61	6	{	{	PUNCT
ejpam-5363	61	7	f1(t	f1(t	PROPN
ejpam-5363	61	8	)	)	PUNCT
ejpam-5363	61	9	∗	∗	NOUN
ejpam-5363	61	10	f2(t	f2(t	NOUN
ejpam-5363	61	11	)	)	PUNCT
ejpam-5363	61	12	}	}	PUNCT
ejpam-5363	61	13	=	=	SYM
ejpam-5363	61	14	1	1	NUM
ejpam-5363	61	15	s2	s2	NOUN
ejpam-5363	61	16	f1(s)f2(s	f1(s)f2(s	NOUN
ejpam-5363	61	17	)	)	PUNCT
ejpam-5363	61	18	.	.	PUNCT
ejpam-5363	62	1	mohand	mohand	NOUN
ejpam-5363	62	2	transforms	transform	VERB
ejpam-5363	62	3	of	of	ADP
ejpam-5363	62	4	the	the	DET
ejpam-5363	62	5	derivatives	derivative	NOUN
ejpam-5363	62	6	of	of	ADP
ejpam-5363	62	7	the	the	DET
ejpam-5363	62	8	function	function	NOUN
ejpam-5363	62	9	f(t	f(t	NOUN
ejpam-5363	62	10	):	):	PUNCT
ejpam-5363	62	11	if	if	SCONJ
ejpam-5363	62	12	m{f(t	m{f(t	NUM
ejpam-5363	62	13	)	)	PUNCT
ejpam-5363	62	14	}	}	PUNCT
ejpam-5363	62	15	=	=	SYM
ejpam-5363	62	16	f	f	X
ejpam-5363	62	17	(	(	PUNCT
ejpam-5363	62	18	s	s	X
ejpam-5363	62	19	)	)	PUNCT
ejpam-5363	62	20	then	then	ADV
ejpam-5363	62	21	we	we	PRON
ejpam-5363	62	22	have	have	VERB
ejpam-5363	62	23	the	the	DET
ejpam-5363	62	24	following	follow	VERB
ejpam-5363	62	25	three	three	NUM
ejpam-5363	62	26	properties	property	NOUN
ejpam-5363	62	27	of	of	ADP
ejpam-5363	62	28	the	the	DET
ejpam-5363	62	29	derivatives	derivative	NOUN
ejpam-5363	62	30	:	:	PUNCT
ejpam-5363	62	31	m	m	VERB
ejpam-5363	62	32	{	{	PUNCT
ejpam-5363	62	33	f	f	PROPN
ejpam-5363	62	34	′(t	′(t	PROPN
ejpam-5363	62	35	)	)	PUNCT
ejpam-5363	62	36	}	}	PUNCT
ejpam-5363	63	1	=	=	PUNCT
ejpam-5363	63	2	sf	sf	X
ejpam-5363	63	3	(	(	PUNCT
ejpam-5363	63	4	s)−	s)−	PROPN
ejpam-5363	63	5	s2f(0	s2f(0	PROPN
ejpam-5363	63	6	)	)	PUNCT
ejpam-5363	63	7	,	,	PUNCT
ejpam-5363	63	8	m	m	VERB
ejpam-5363	63	9	{	{	PUNCT
ejpam-5363	63	10	f	f	PROPN
ejpam-5363	63	11	′′(t	′′(t	PROPN
ejpam-5363	63	12	)	)	PUNCT
ejpam-5363	63	13	}	}	PUNCT
ejpam-5363	63	14	=	=	SYM
ejpam-5363	63	15	s2f	s2f	PROPN
ejpam-5363	63	16	(	(	PUNCT
ejpam-5363	63	17	s)−	s)−	PROPN
ejpam-5363	63	18	s3f(0)−	s3f(0)−	PROPN
ejpam-5363	63	19	s2f	s2f	PROPN
ejpam-5363	63	20	′(0	′(0	NOUN
ejpam-5363	63	21	)	)	PUNCT
ejpam-5363	63	22	,	,	PUNCT
ejpam-5363	63	23	m	m	VERB
ejpam-5363	63	24	{	{	PUNCT
ejpam-5363	63	25	f	f	X
ejpam-5363	63	26	(	(	PUNCT
ejpam-5363	63	27	n)(t	n)(t	PROPN
ejpam-5363	63	28	)	)	PUNCT
ejpam-5363	63	29	}	}	PUNCT
ejpam-5363	64	1	=	=	PUNCT
ejpam-5363	64	2	sn	sn	PROPN
ejpam-5363	64	3	f	f	X
ejpam-5363	64	4	(	(	PUNCT
ejpam-5363	64	5	s)−	s)−	PROPN
ejpam-5363	64	6	sn+1f(0)−	sn+1f(0)−	PROPN
ejpam-5363	64	7	snf	snf	PROPN
ejpam-5363	64	8	′(0)−	′(0)−	PROPN
ejpam-5363	64	9	.	.	PUNCT
ejpam-5363	64	10	.	.	PUNCT
ejpam-5363	65	1	.−	.−	PUNCT
ejpam-5363	66	1	s2	s2	INTJ
ejpam-5363	66	2	f	f	X
ejpam-5363	66	3	(	(	PUNCT
ejpam-5363	66	4	n−1)(0	n−1)(0	NOUN
ejpam-5363	66	5	)	)	PUNCT
ejpam-5363	66	6	.	.	PUNCT
ejpam-5363	67	1	(	(	PUNCT
ejpam-5363	67	2	1	1	X
ejpam-5363	67	3	)	)	PUNCT
ejpam-5363	67	4	mohand	mohand	NOUN
ejpam-5363	67	5	transforms	transform	VERB
ejpam-5363	67	6	for	for	ADP
ejpam-5363	67	7	some	some	DET
ejpam-5363	67	8	famous	famous	ADJ
ejpam-5363	67	9	functions	function	NOUN
ejpam-5363	67	10	:	:	PUNCT
ejpam-5363	67	11	f(t	f(t	NOUN
ejpam-5363	67	12	)	)	PUNCT
ejpam-5363	67	13	m{f(t	m{f(t	NUM
ejpam-5363	67	14	)	)	PUNCT
ejpam-5363	67	15	}	}	PUNCT
ejpam-5363	67	16	=	=	SYM
ejpam-5363	67	17	f	f	X
ejpam-5363	67	18	(	(	PUNCT
ejpam-5363	67	19	s	s	X
ejpam-5363	67	20	)	)	PUNCT
ejpam-5363	67	21	1	1	NUM
ejpam-5363	67	22	s	s	NOUN
ejpam-5363	67	23	t	t	NOUN
ejpam-5363	67	24	1	1	NUM
ejpam-5363	67	25	t2	t2	NOUN
ejpam-5363	67	26	2	2	NUM
ejpam-5363	67	27	!	!	PUNCT
ejpam-5363	67	28	s	s	PART
ejpam-5363	67	29	tn	tn	PROPN
ejpam-5363	67	30	,	,	PUNCT
ejpam-5363	67	31	n	n	PROPN
ejpam-5363	67	32	∈	∈	PROPN
ejpam-5363	67	33	n	n	CCONJ
ejpam-5363	67	34	n	n	CCONJ
ejpam-5363	67	35	!	!	PUNCT
ejpam-5363	68	1	sn−1	sn−1	PROPN
ejpam-5363	68	2	tn	tn	PROPN
ejpam-5363	68	3	,	,	PUNCT
ejpam-5363	68	4	n	n	CCONJ
ejpam-5363	68	5	>	>	X
ejpam-5363	68	6	−1	−1	NOUN
ejpam-5363	68	7	γ(n+1	γ(n+1	PUNCT
ejpam-5363	68	8	)	)	PUNCT
ejpam-5363	68	9	sn−1	sn−1	PROPN
ejpam-5363	68	10	eat	eat	VERB
ejpam-5363	68	11	s2	s2	PROPN
ejpam-5363	68	12	s−a	s−a	NOUN
ejpam-5363	68	13	sin(at	sin(at	PROPN
ejpam-5363	68	14	)	)	PUNCT
ejpam-5363	68	15	as2	as2	PROPN
ejpam-5363	68	16	s2+a2	s2+a2	PROPN
ejpam-5363	68	17	cos(at	cos(at	PROPN
ejpam-5363	68	18	)	)	PUNCT
ejpam-5363	68	19	s3	s3	PROPN
ejpam-5363	68	20	s2+a2	s2+a2	PROPN
ejpam-5363	68	21	3.2	3.2	NUM
ejpam-5363	68	22	.	.	PUNCT
ejpam-5363	69	1	accelerated	accelerate	VERB
ejpam-5363	69	2	he	he	PRON
ejpam-5363	69	3	’s	’	VERB
ejpam-5363	69	4	polynomials	polynomial	VERB
ejpam-5363	69	5	the	the	DET
ejpam-5363	69	6	nonlinear	nonlinear	ADJ
ejpam-5363	69	7	term	term	NOUN
ejpam-5363	69	8	n(ϑ	n(ϑ	PROPN
ejpam-5363	69	9	)	)	PUNCT
ejpam-5363	69	10	in	in	ADP
ejpam-5363	69	11	the	the	DET
ejpam-5363	69	12	differential	differential	ADJ
ejpam-5363	69	13	equations	equation	NOUN
ejpam-5363	69	14	under	under	ADP
ejpam-5363	69	15	study	study	NOUN
ejpam-5363	69	16	can	can	AUX
ejpam-5363	69	17	be	be	AUX
ejpam-5363	69	18	expressed	express	VERB
ejpam-5363	69	19	as	as	ADP
ejpam-5363	69	20	a	a	DET
ejpam-5363	69	21	linear	linear	ADJ
ejpam-5363	69	22	combination	combination	NOUN
ejpam-5363	69	23	of	of	ADP
ejpam-5363	69	24	the	the	DET
ejpam-5363	69	25	accelerated	accelerate	VERB
ejpam-5363	69	26	he	he	PRON
ejpam-5363	69	27	’s	’	VERB
ejpam-5363	69	28	polynomials	polynomial	NOUN
ejpam-5363	69	29	in	in	ADP
ejpam-5363	69	30	the	the	DET
ejpam-5363	69	31	following	follow	VERB
ejpam-5363	69	32	series	series	NOUN
ejpam-5363	69	33	from	from	ADP
ejpam-5363	69	34	:	:	PUNCT
ejpam-5363	69	35	n(ϑ	n(ϑ	X
ejpam-5363	69	36	)	)	PUNCT
ejpam-5363	70	1	=	=	PUNCT
ejpam-5363	71	1	∞∑	∞∑	NUM
ejpam-5363	71	2	n=0	n=0	NUM
ejpam-5363	71	3	h̄n	h̄n	NOUN
ejpam-5363	71	4	,	,	PUNCT
ejpam-5363	71	5	(	(	PUNCT
ejpam-5363	71	6	2	2	X
ejpam-5363	71	7	)	)	PUNCT
ejpam-5363	71	8	where	where	SCONJ
ejpam-5363	71	9	the	the	DET
ejpam-5363	71	10	accelerated	accelerate	VERB
ejpam-5363	71	11	he	he	PRON
ejpam-5363	71	12	’s	’	VERB
ejpam-5363	71	13	polynomials	polynomial	NOUN
ejpam-5363	71	14	h̄n	h̄n	PROPN
ejpam-5363	71	15	can	can	AUX
ejpam-5363	71	16	be	be	AUX
ejpam-5363	71	17	defined	define	VERB
ejpam-5363	71	18	and	and	CCONJ
ejpam-5363	71	19	constructed	construct	VERB
ejpam-5363	71	20	with	with	ADP
ejpam-5363	71	21	the	the	DET
ejpam-5363	71	22	help	help	NOUN
ejpam-5363	71	23	of	of	ADP
ejpam-5363	71	24	the	the	DET
ejpam-5363	71	25	standard	standard	NOUN
ejpam-5363	71	26	he	he	PRON
ejpam-5363	71	27	’s	’	VERB
ejpam-5363	71	28	polynomials	polynomial	NOUN
ejpam-5363	71	29	as	as	SCONJ
ejpam-5363	71	30	follows	follow	VERB
ejpam-5363	71	31	[	[	X
ejpam-5363	71	32	22	22	NUM
ejpam-5363	71	33	]	]	X
ejpam-5363	71	34	:	:	PUNCT
ejpam-5363	71	35	h̄n	h̄n	PROPN
ejpam-5363	71	36	=	=	PUNCT
ejpam-5363	71	37	n(ϑn)−	n(ϑn)−	X
ejpam-5363	71	38	n−1∑	n−1∑	PROPN
ejpam-5363	71	39	j=0	j=0	PROPN
ejpam-5363	71	40	ĥj	ĥj	PROPN
ejpam-5363	71	41	,	,	PUNCT
ejpam-5363	71	42	(	(	PUNCT
ejpam-5363	71	43	3	3	X
ejpam-5363	71	44	)	)	PUNCT
ejpam-5363	71	45	m.	m.	NOUN
ejpam-5363	71	46	adel	adel	PROPN
ejpam-5363	71	47	,	,	PUNCT
ejpam-5363	71	48	m.	m.	NOUN
ejpam-5363	71	49	m.	m.	NOUN
ejpam-5363	71	50	khader	khader	PROPN
ejpam-5363	71	51	,	,	PUNCT
ejpam-5363	71	52	t.	t.	PROPN
ejpam-5363	71	53	a.	a.	NOUN
ejpam-5363	71	54	assiri	assiri	PROPN
ejpam-5363	71	55	/	/	SYM
ejpam-5363	71	56	eur	eur	PROPN
ejpam-5363	71	57	.	.	PUNCT
ejpam-5363	72	1	j.	j.	PROPN
ejpam-5363	72	2	pure	pure	PROPN
ejpam-5363	72	3	appl	appl	PROPN
ejpam-5363	72	4	.	.	PROPN
ejpam-5363	72	5	math	math	PROPN
ejpam-5363	72	6	,	,	PUNCT
ejpam-5363	72	7	17	17	NUM
ejpam-5363	72	8	(	(	PUNCT
ejpam-5363	72	9	4	4	NUM
ejpam-5363	72	10	)	)	PUNCT
ejpam-5363	72	11	(	(	PUNCT
ejpam-5363	72	12	2024	2024	NUM
ejpam-5363	72	13	)	)	PUNCT
ejpam-5363	72	14	,	,	PUNCT
ejpam-5363	72	15	2812	2812	NUM
ejpam-5363	72	16	-	-	SYM
ejpam-5363	72	17	2827	2827	NUM
ejpam-5363	72	18	2816	2816	NUM
ejpam-5363	72	19	here	here	ADV
ejpam-5363	72	20	,	,	PUNCT
ejpam-5363	72	21	ĥ	ĥ	PROPN
ejpam-5363	72	22	is	be	AUX
ejpam-5363	72	23	the	the	DET
ejpam-5363	72	24	general	general	ADJ
ejpam-5363	72	25	he	he	PRON
ejpam-5363	72	26	’s	’	VERB
ejpam-5363	72	27	polynomials	polynomial	NOUN
ejpam-5363	72	28	.	.	PUNCT
ejpam-5363	73	1	consider	consider	VERB
ejpam-5363	73	2	a	a	DET
ejpam-5363	73	3	nonlinear	nonlinear	ADJ
ejpam-5363	73	4	term	term	NOUN
ejpam-5363	73	5	n(ϑ	n(ϑ	PROPN
ejpam-5363	73	6	)	)	PUNCT
ejpam-5363	74	1	=	=	X
ejpam-5363	74	2	ϑxx	ϑxx	NOUN
ejpam-5363	74	3	(	(	PUNCT
ejpam-5363	74	4	x	x	NOUN
ejpam-5363	74	5	,	,	PUNCT
ejpam-5363	74	6	t)ϑ	t)ϑ	PUNCT
ejpam-5363	74	7	(	(	PUNCT
ejpam-5363	74	8	x	x	X
ejpam-5363	74	9	,	,	PUNCT
ejpam-5363	74	10	t	t	PROPN
ejpam-5363	74	11	)	)	PUNCT
ejpam-5363	74	12	,	,	PUNCT
ejpam-5363	74	13	by	by	ADP
ejpam-5363	74	14	using	use	VERB
ejpam-5363	74	15	the	the	DET
ejpam-5363	74	16	definition	definition	NOUN
ejpam-5363	74	17	given	give	VERB
ejpam-5363	74	18	in	in	ADP
ejpam-5363	74	19	equations	equation	NOUN
ejpam-5363	74	20	(	(	PUNCT
ejpam-5363	74	21	2	2	NUM
ejpam-5363	74	22	)	)	PUNCT
ejpam-5363	74	23	and	and	CCONJ
ejpam-5363	74	24	(	(	PUNCT
ejpam-5363	74	25	3	3	NUM
ejpam-5363	74	26	)	)	PUNCT
ejpam-5363	74	27	,	,	PUNCT
ejpam-5363	74	28	we	we	PRON
ejpam-5363	74	29	can	can	AUX
ejpam-5363	74	30	get	get	VERB
ejpam-5363	74	31	the	the	DET
ejpam-5363	74	32	accelerated	accelerate	VERB
ejpam-5363	74	33	he	he	PRON
ejpam-5363	74	34	’s	’	VERB
ejpam-5363	74	35	polynomials	polynomial	NOUN
ejpam-5363	74	36	as	as	ADP
ejpam-5363	74	37	:	:	PUNCT
ejpam-5363	74	38	h̄0	h̄0	NOUN
ejpam-5363	74	39	=	=	SYM
ejpam-5363	74	40	(	(	PUNCT
ejpam-5363	74	41	ϑ0)xx	ϑ0)xx	PROPN
ejpam-5363	74	42	(	(	PUNCT
ejpam-5363	74	43	x	x	NOUN
ejpam-5363	74	44	,	,	PUNCT
ejpam-5363	74	45	t)ϑ0	t)ϑ0	PROPN
ejpam-5363	74	46	(	(	PUNCT
ejpam-5363	74	47	x	x	NOUN
ejpam-5363	74	48	,	,	PUNCT
ejpam-5363	74	49	t	t	PROPN
ejpam-5363	74	50	)	)	PUNCT
ejpam-5363	74	51	,	,	PUNCT
ejpam-5363	74	52	h̄1	h̄1	X
ejpam-5363	75	1	=	=	PUNCT
ejpam-5363	75	2	(	(	PUNCT
ejpam-5363	75	3	ϑ0)xx	ϑ0)xx	PROPN
ejpam-5363	75	4	(	(	PUNCT
ejpam-5363	75	5	x	x	NOUN
ejpam-5363	75	6	,	,	PUNCT
ejpam-5363	75	7	t)ϑ1	t)ϑ1	PROPN
ejpam-5363	75	8	(	(	PUNCT
ejpam-5363	75	9	x	x	X
ejpam-5363	75	10	,	,	PUNCT
ejpam-5363	75	11	t	t	PROPN
ejpam-5363	75	12	)	)	PUNCT
ejpam-5363	75	13	+	+	CCONJ
ejpam-5363	75	14	(	(	PUNCT
ejpam-5363	75	15	ϑ1)xx	ϑ1)xx	PROPN
ejpam-5363	75	16	(	(	PUNCT
ejpam-5363	75	17	x	x	X
ejpam-5363	75	18	,	,	PUNCT
ejpam-5363	75	19	t)ϑ0	t)ϑ0	PROPN
ejpam-5363	75	20	(	(	PUNCT
ejpam-5363	75	21	x	x	NOUN
ejpam-5363	75	22	,	,	PUNCT
ejpam-5363	75	23	t	t	PROPN
ejpam-5363	75	24	)	)	PUNCT
ejpam-5363	75	25	+	+	CCONJ
ejpam-5363	75	26	(	(	PUNCT
ejpam-5363	75	27	ϑ1)xx	ϑ1)xx	PROPN
ejpam-5363	75	28	(	(	PUNCT
ejpam-5363	75	29	x	x	X
ejpam-5363	75	30	,	,	PUNCT
ejpam-5363	75	31	t)ϑ1	t)ϑ1	PROPN
ejpam-5363	75	32	(	(	PUNCT
ejpam-5363	75	33	x	x	X
ejpam-5363	75	34	,	,	PUNCT
ejpam-5363	75	35	t	t	PROPN
ejpam-5363	75	36	)	)	PUNCT
ejpam-5363	75	37	,	,	PUNCT
ejpam-5363	75	38	h̄2	h̄2	X
ejpam-5363	75	39	=	=	SYM
ejpam-5363	75	40	(	(	PUNCT
ejpam-5363	75	41	ϑ0)xx	ϑ0)xx	PROPN
ejpam-5363	75	42	(	(	PUNCT
ejpam-5363	75	43	x	x	NOUN
ejpam-5363	75	44	,	,	PUNCT
ejpam-5363	75	45	t)ϑ2	t)ϑ2	ADJ
ejpam-5363	75	46	(	(	PUNCT
ejpam-5363	75	47	x	x	NOUN
ejpam-5363	75	48	,	,	PUNCT
ejpam-5363	75	49	t	t	PROPN
ejpam-5363	75	50	)	)	PUNCT
ejpam-5363	75	51	+	+	CCONJ
ejpam-5363	75	52	(	(	PUNCT
ejpam-5363	75	53	ϑ1)xx	ϑ1)xx	PROPN
ejpam-5363	75	54	(	(	PUNCT
ejpam-5363	75	55	x	x	NOUN
ejpam-5363	75	56	,	,	PUNCT
ejpam-5363	75	57	t)ϑ2	t)ϑ2	ADJ
ejpam-5363	75	58	(	(	PUNCT
ejpam-5363	75	59	x	x	NOUN
ejpam-5363	75	60	,	,	PUNCT
ejpam-5363	75	61	t	t	PROPN
ejpam-5363	75	62	)	)	PUNCT
ejpam-5363	75	63	+	+	CCONJ
ejpam-5363	75	64	(	(	PUNCT
ejpam-5363	75	65	ϑ2)xx	ϑ2)xx	PROPN
ejpam-5363	75	66	(	(	PUNCT
ejpam-5363	75	67	x	x	NOUN
ejpam-5363	75	68	,	,	PUNCT
ejpam-5363	75	69	t)ϑ2	t)ϑ2	ADJ
ejpam-5363	75	70	(	(	PUNCT
ejpam-5363	75	71	x	x	NOUN
ejpam-5363	75	72	,	,	PUNCT
ejpam-5363	75	73	t	t	PROPN
ejpam-5363	75	74	)	)	PUNCT
ejpam-5363	75	75	+	+	PROPN
ejpam-5363	75	76	(	(	PUNCT
ejpam-5363	75	77	ϑ2)xx	ϑ2)xx	PROPN
ejpam-5363	75	78	(	(	PUNCT
ejpam-5363	75	79	x	x	NOUN
ejpam-5363	75	80	,	,	PUNCT
ejpam-5363	75	81	t)ϑ0	t)ϑ0	PROPN
ejpam-5363	75	82	(	(	PUNCT
ejpam-5363	75	83	x	x	NOUN
ejpam-5363	75	84	,	,	PUNCT
ejpam-5363	75	85	t	t	PROPN
ejpam-5363	75	86	)	)	PUNCT
ejpam-5363	75	87	+	+	CCONJ
ejpam-5363	75	88	(	(	PUNCT
ejpam-5363	75	89	ϑ2)xx	ϑ2)xx	PROPN
ejpam-5363	75	90	(	(	PUNCT
ejpam-5363	75	91	x	x	NOUN
ejpam-5363	75	92	,	,	PUNCT
ejpam-5363	75	93	t)ϑ1	t)ϑ1	PROPN
ejpam-5363	75	94	(	(	PUNCT
ejpam-5363	75	95	x	x	X
ejpam-5363	75	96	,	,	PUNCT
ejpam-5363	75	97	t	t	PROPN
ejpam-5363	75	98	)	)	PUNCT
ejpam-5363	75	99	,	,	PUNCT
ejpam-5363	76	1	h̄3	h̄3	DET
ejpam-5363	76	2	=(	=(	NOUN
ejpam-5363	76	3	ϑ0)xx	ϑ0)xx	PROPN
ejpam-5363	76	4	(	(	PUNCT
ejpam-5363	76	5	x	x	NOUN
ejpam-5363	76	6	,	,	PUNCT
ejpam-5363	76	7	t)ϑ3	t)ϑ3	PROPN
ejpam-5363	76	8	(	(	PUNCT
ejpam-5363	76	9	x	x	NOUN
ejpam-5363	76	10	,	,	PUNCT
ejpam-5363	76	11	t	t	PROPN
ejpam-5363	76	12	)	)	PUNCT
ejpam-5363	76	13	+	+	CCONJ
ejpam-5363	76	14	(	(	PUNCT
ejpam-5363	76	15	ϑ1)xx	ϑ1)xx	PROPN
ejpam-5363	76	16	(	(	PUNCT
ejpam-5363	76	17	x	x	NOUN
ejpam-5363	76	18	,	,	PUNCT
ejpam-5363	76	19	t)ϑ3	t)ϑ3	PROPN
ejpam-5363	76	20	(	(	PUNCT
ejpam-5363	76	21	x	x	NOUN
ejpam-5363	76	22	,	,	PUNCT
ejpam-5363	76	23	t	t	PROPN
ejpam-5363	76	24	)	)	PUNCT
ejpam-5363	76	25	+	+	CCONJ
ejpam-5363	76	26	(	(	PUNCT
ejpam-5363	76	27	ϑ2)xx	ϑ2)xx	PROPN
ejpam-5363	76	28	(	(	PUNCT
ejpam-5363	76	29	x	x	NOUN
ejpam-5363	76	30	,	,	PUNCT
ejpam-5363	76	31	t)ϑ3	t)ϑ3	PROPN
ejpam-5363	76	32	(	(	PUNCT
ejpam-5363	76	33	x	x	NOUN
ejpam-5363	76	34	,	,	PUNCT
ejpam-5363	76	35	t	t	PROPN
ejpam-5363	76	36	)	)	PUNCT
ejpam-5363	76	37	+	+	CCONJ
ejpam-5363	76	38	(	(	PUNCT
ejpam-5363	76	39	ϑ3)xx	ϑ3)xx	ADJ
ejpam-5363	76	40	(	(	PUNCT
ejpam-5363	76	41	x	x	X
ejpam-5363	76	42	,	,	PUNCT
ejpam-5363	76	43	t)ϑ3	t)ϑ3	PROPN
ejpam-5363	76	44	(	(	PUNCT
ejpam-5363	76	45	x	x	NOUN
ejpam-5363	76	46	,	,	PUNCT
ejpam-5363	76	47	t	t	PROPN
ejpam-5363	76	48	)	)	PUNCT
ejpam-5363	76	49	+	+	CCONJ
ejpam-5363	76	50	(	(	PUNCT
ejpam-5363	76	51	ϑ3)xx	ϑ3)xx	ADJ
ejpam-5363	76	52	(	(	PUNCT
ejpam-5363	76	53	x	x	X
ejpam-5363	76	54	,	,	PUNCT
ejpam-5363	76	55	t)ϑ2	t)ϑ2	ADJ
ejpam-5363	76	56	(	(	PUNCT
ejpam-5363	76	57	x	x	NOUN
ejpam-5363	76	58	,	,	PUNCT
ejpam-5363	76	59	t	t	PROPN
ejpam-5363	76	60	)	)	PUNCT
ejpam-5363	76	61	+	+	CCONJ
ejpam-5363	76	62	(	(	PUNCT
ejpam-5363	76	63	ϑ3)xx	ϑ3)xx	ADJ
ejpam-5363	76	64	(	(	PUNCT
ejpam-5363	76	65	x	x	X
ejpam-5363	76	66	,	,	PUNCT
ejpam-5363	76	67	t)ϑ1	t)ϑ1	PROPN
ejpam-5363	76	68	(	(	PUNCT
ejpam-5363	76	69	x	x	X
ejpam-5363	76	70	,	,	PUNCT
ejpam-5363	76	71	t	t	PROPN
ejpam-5363	76	72	)	)	PUNCT
ejpam-5363	76	73	.	.	PUNCT
ejpam-5363	77	1	in	in	ADP
ejpam-5363	77	2	the	the	DET
ejpam-5363	77	3	current	current	ADJ
ejpam-5363	77	4	section	section	NOUN
ejpam-5363	77	5	,	,	PUNCT
ejpam-5363	77	6	we	we	PRON
ejpam-5363	77	7	briefly	briefly	ADV
ejpam-5363	77	8	explained	explain	VERB
ejpam-5363	77	9	the	the	DET
ejpam-5363	77	10	procedure	procedure	NOUN
ejpam-5363	77	11	of	of	ADP
ejpam-5363	77	12	a	a	DET
ejpam-5363	77	13	newly	newly	ADV
ejpam-5363	77	14	adopted	adopt	VERB
ejpam-5363	77	15	modified	modified	ADJ
ejpam-5363	77	16	technique	technique	NOUN
ejpam-5363	77	17	.	.	PUNCT
ejpam-5363	78	1	we	we	PRON
ejpam-5363	78	2	have	have	AUX
ejpam-5363	78	3	considered	consider	VERB
ejpam-5363	78	4	the	the	DET
ejpam-5363	78	5	general	general	ADJ
ejpam-5363	78	6	burger	burger	NOUN
ejpam-5363	78	7	’s	’s	PART
ejpam-5363	78	8	equation	equation	NOUN
ejpam-5363	78	9	which	which	PRON
ejpam-5363	78	10	is	be	AUX
ejpam-5363	78	11	defined	define	VERB
ejpam-5363	78	12	as	as	ADP
ejpam-5363	78	13	:	:	PUNCT
ejpam-5363	78	14	ϑt	ϑt	NUM
ejpam-5363	78	15	(	(	PUNCT
ejpam-5363	78	16	x	x	NOUN
ejpam-5363	78	17	,	,	PUNCT
ejpam-5363	78	18	t	t	PROPN
ejpam-5363	78	19	)	)	PUNCT
ejpam-5363	79	1	=	=	SYM
ejpam-5363	79	2	£	£	SYM
ejpam-5363	79	3	(	(	PUNCT
ejpam-5363	79	4	ϑ	ϑ	X
ejpam-5363	79	5	(	(	PUNCT
ejpam-5363	79	6	x	x	NOUN
ejpam-5363	79	7	,	,	PUNCT
ejpam-5363	79	8	t	t	PROPN
ejpam-5363	79	9	)	)	PUNCT
ejpam-5363	79	10	)	)	PUNCT
ejpam-5363	80	1	+	+	VERB
ejpam-5363	80	2	n	n	X
ejpam-5363	80	3	(	(	PUNCT
ejpam-5363	80	4	ϑ	ϑ	X
ejpam-5363	80	5	(	(	PUNCT
ejpam-5363	80	6	x	x	NOUN
ejpam-5363	80	7	,	,	PUNCT
ejpam-5363	80	8	t	t	PROPN
ejpam-5363	80	9	)	)	PUNCT
ejpam-5363	80	10	)	)	PUNCT
ejpam-5363	81	1	+	+	CCONJ
ejpam-5363	81	2	δ	δ	PROPN
ejpam-5363	81	3	(	(	PUNCT
ejpam-5363	81	4	x	x	PROPN
ejpam-5363	81	5	,	,	PUNCT
ejpam-5363	81	6	t	t	PROPN
ejpam-5363	81	7	)	)	PUNCT
ejpam-5363	81	8	,	,	PUNCT
ejpam-5363	81	9	t	t	X
ejpam-5363	81	10	>	>	X
ejpam-5363	81	11	0	0	PROPN
ejpam-5363	81	12	,	,	PUNCT
ejpam-5363	81	13	x	x	X
ejpam-5363	81	14	∈	∈	PROPN
ejpam-5363	81	15	r	r	NOUN
ejpam-5363	81	16	,	,	PUNCT
ejpam-5363	81	17	(	(	PUNCT
ejpam-5363	81	18	4	4	NUM
ejpam-5363	81	19	)	)	PUNCT
ejpam-5363	81	20	with	with	ADP
ejpam-5363	81	21	the	the	DET
ejpam-5363	81	22	initial	initial	ADJ
ejpam-5363	81	23	condition	condition	NOUN
ejpam-5363	81	24	:	:	PUNCT
ejpam-5363	81	25	ϑ(x	ϑ(x	NOUN
ejpam-5363	81	26	,	,	PUNCT
ejpam-5363	81	27	0	0	NUM
ejpam-5363	81	28	)	)	PUNCT
ejpam-5363	81	29	=	=	SYM
ejpam-5363	81	30	w1(x	w1(x	NUM
ejpam-5363	81	31	)	)	PUNCT
ejpam-5363	81	32	,	,	PUNCT
ejpam-5363	81	33	where	where	SCONJ
ejpam-5363	81	34	,	,	PUNCT
ejpam-5363	81	35	£	£	PROPN
ejpam-5363	81	36	,	,	PUNCT
ejpam-5363	81	37	n	n	PRON
ejpam-5363	81	38	are	be	AUX
ejpam-5363	81	39	the	the	DET
ejpam-5363	81	40	linear	linear	ADJ
ejpam-5363	81	41	and	and	CCONJ
ejpam-5363	81	42	nonlinear	nonlinear	ADJ
ejpam-5363	81	43	terms	term	NOUN
ejpam-5363	81	44	,	,	PUNCT
ejpam-5363	81	45	respectively	respectively	ADV
ejpam-5363	81	46	,	,	PUNCT
ejpam-5363	81	47	and	and	CCONJ
ejpam-5363	81	48	δ	δ	PROPN
ejpam-5363	81	49	(	(	PUNCT
ejpam-5363	81	50	x	x	PROPN
ejpam-5363	81	51	,	,	PUNCT
ejpam-5363	81	52	t	t	PROPN
ejpam-5363	81	53	)	)	PUNCT
ejpam-5363	81	54	is	be	AUX
ejpam-5363	81	55	the	the	DET
ejpam-5363	81	56	source	source	NOUN
ejpam-5363	81	57	function	function	NOUN
ejpam-5363	81	58	.	.	PUNCT
ejpam-5363	82	1	applying	apply	VERB
ejpam-5363	82	2	the	the	DET
ejpam-5363	82	3	mohand	mohand	NOUN
ejpam-5363	82	4	transform	transform	NOUN
ejpam-5363	82	5	with	with	ADP
ejpam-5363	82	6	burger	burger	NOUN
ejpam-5363	82	7	’s	’s	PART
ejpam-5363	82	8	equation	equation	NOUN
ejpam-5363	82	9	(	(	PUNCT
ejpam-5363	82	10	4	4	X
ejpam-5363	82	11	)	)	PUNCT
ejpam-5363	82	12	gives	give	VERB
ejpam-5363	82	13	us	we	PRON
ejpam-5363	82	14	:	:	PUNCT
ejpam-5363	82	15	m	m	VERB
ejpam-5363	82	16	{	{	PUNCT
ejpam-5363	82	17	ϑt	ϑt	PROPN
ejpam-5363	82	18	(	(	PUNCT
ejpam-5363	82	19	x	x	NOUN
ejpam-5363	82	20	,	,	PUNCT
ejpam-5363	82	21	t	t	PROPN
ejpam-5363	82	22	)	)	PUNCT
ejpam-5363	82	23	}	}	PUNCT
ejpam-5363	83	1	=	=	PUNCT
ejpam-5363	83	2	m	m	PRON
ejpam-5363	83	3	{	{	PUNCT
ejpam-5363	83	4	£	£	X
ejpam-5363	83	5	(	(	PUNCT
ejpam-5363	83	6	ϑ	ϑ	X
ejpam-5363	83	7	(	(	PUNCT
ejpam-5363	83	8	x	x	NOUN
ejpam-5363	83	9	,	,	PUNCT
ejpam-5363	83	10	t	t	PROPN
ejpam-5363	83	11	)	)	PUNCT
ejpam-5363	83	12	)	)	PUNCT
ejpam-5363	84	1	+	+	VERB
ejpam-5363	84	2	n	n	X
ejpam-5363	84	3	(	(	PUNCT
ejpam-5363	84	4	ϑ	ϑ	X
ejpam-5363	84	5	(	(	PUNCT
ejpam-5363	84	6	x	x	NOUN
ejpam-5363	84	7	,	,	PUNCT
ejpam-5363	84	8	t	t	PROPN
ejpam-5363	84	9	)	)	PUNCT
ejpam-5363	84	10	)	)	PUNCT
ejpam-5363	85	1	+	+	CCONJ
ejpam-5363	85	2	δ	δ	PROPN
ejpam-5363	85	3	(	(	PUNCT
ejpam-5363	85	4	x	x	PROPN
ejpam-5363	85	5	,	,	PUNCT
ejpam-5363	85	6	t	t	PROPN
ejpam-5363	85	7	)	)	PUNCT
ejpam-5363	85	8	}	}	PUNCT
ejpam-5363	85	9	,	,	PUNCT
ejpam-5363	85	10	by	by	ADP
ejpam-5363	85	11	applying	apply	VERB
ejpam-5363	85	12	the	the	DET
ejpam-5363	85	13	transformation	transformation	NOUN
ejpam-5363	85	14	property	property	NOUN
ejpam-5363	85	15	(	(	PUNCT
ejpam-5363	85	16	1	1	X
ejpam-5363	85	17	)	)	PUNCT
ejpam-5363	85	18	we	we	PRON
ejpam-5363	85	19	can	can	AUX
ejpam-5363	85	20	get	get	VERB
ejpam-5363	85	21	:	:	PUNCT
ejpam-5363	85	22	s{r(x	s{r(x	PROPN
ejpam-5363	85	23	,	,	PUNCT
ejpam-5363	85	24	s)−	s)−	PROPN
ejpam-5363	85	25	s	s	PART
ejpam-5363	85	26	ϑ(x	ϑ(x	PROPN
ejpam-5363	85	27	,	,	PUNCT
ejpam-5363	85	28	0	0	NUM
ejpam-5363	85	29	)	)	PUNCT
ejpam-5363	85	30	}	}	PUNCT
ejpam-5363	86	1	=	=	PUNCT
ejpam-5363	86	2	m	m	PRON
ejpam-5363	86	3	{	{	PUNCT
ejpam-5363	86	4	£	£	X
ejpam-5363	86	5	(	(	PUNCT
ejpam-5363	86	6	ϑ	ϑ	X
ejpam-5363	86	7	(	(	PUNCT
ejpam-5363	86	8	x	x	NOUN
ejpam-5363	86	9	,	,	PUNCT
ejpam-5363	86	10	t	t	PROPN
ejpam-5363	86	11	)	)	PUNCT
ejpam-5363	86	12	)	)	PUNCT
ejpam-5363	87	1	+	+	VERB
ejpam-5363	87	2	n	n	X
ejpam-5363	87	3	(	(	PUNCT
ejpam-5363	87	4	ϑ	ϑ	X
ejpam-5363	87	5	(	(	PUNCT
ejpam-5363	87	6	x	x	NOUN
ejpam-5363	87	7	,	,	PUNCT
ejpam-5363	87	8	t	t	PROPN
ejpam-5363	87	9	)	)	PUNCT
ejpam-5363	87	10	)	)	PUNCT
ejpam-5363	88	1	+	+	CCONJ
ejpam-5363	88	2	δ	δ	PROPN
ejpam-5363	88	3	(	(	PUNCT
ejpam-5363	88	4	x	x	PROPN
ejpam-5363	88	5	,	,	PUNCT
ejpam-5363	88	6	t	t	PROPN
ejpam-5363	88	7	)	)	PUNCT
ejpam-5363	88	8	}	}	PUNCT
ejpam-5363	88	9	,	,	PUNCT
ejpam-5363	88	10	(	(	PUNCT
ejpam-5363	88	11	5	5	X
ejpam-5363	88	12	)	)	PUNCT
ejpam-5363	88	13	after	after	ADP
ejpam-5363	88	14	some	some	DET
ejpam-5363	88	15	calculation	calculation	NOUN
ejpam-5363	88	16	,	,	PUNCT
ejpam-5363	88	17	the	the	DET
ejpam-5363	88	18	equation	equation	NOUN
ejpam-5363	88	19	(	(	PUNCT
ejpam-5363	88	20	5	5	X
ejpam-5363	88	21	)	)	PUNCT
ejpam-5363	88	22	was	be	AUX
ejpam-5363	88	23	simplified	simplify	VERB
ejpam-5363	88	24	as	as	ADP
ejpam-5363	88	25	:	:	PUNCT
ejpam-5363	88	26	r(x	r(x	PROPN
ejpam-5363	88	27	,	,	PUNCT
ejpam-5363	88	28	s	s	PART
ejpam-5363	88	29	)	)	PUNCT
ejpam-5363	88	30	=	=	SYM
ejpam-5363	88	31	s	s	PROPN
ejpam-5363	88	32	ϑ(x	ϑ(x	PROPN
ejpam-5363	88	33	,	,	PUNCT
ejpam-5363	88	34	0	0	NUM
ejpam-5363	88	35	)	)	PUNCT
ejpam-5363	89	1	+	+	CCONJ
ejpam-5363	89	2	1	1	NUM
ejpam-5363	89	3	s	s	NOUN
ejpam-5363	89	4	m	m	VERB
ejpam-5363	89	5	{	{	PUNCT
ejpam-5363	89	6	£	£	X
ejpam-5363	89	7	(	(	PUNCT
ejpam-5363	89	8	ϑ	ϑ	X
ejpam-5363	89	9	(	(	PUNCT
ejpam-5363	89	10	x	x	NOUN
ejpam-5363	89	11	,	,	PUNCT
ejpam-5363	89	12	t	t	PROPN
ejpam-5363	89	13	)	)	PUNCT
ejpam-5363	89	14	)	)	PUNCT
ejpam-5363	90	1	+	+	VERB
ejpam-5363	90	2	n	n	X
ejpam-5363	90	3	(	(	PUNCT
ejpam-5363	90	4	ϑ	ϑ	X
ejpam-5363	90	5	(	(	PUNCT
ejpam-5363	90	6	x	x	NOUN
ejpam-5363	90	7	,	,	PUNCT
ejpam-5363	90	8	t	t	PROPN
ejpam-5363	90	9	)	)	PUNCT
ejpam-5363	90	10	)	)	PUNCT
ejpam-5363	91	1	+	+	CCONJ
ejpam-5363	91	2	δ	δ	PROPN
ejpam-5363	91	3	(	(	PUNCT
ejpam-5363	91	4	x	x	PROPN
ejpam-5363	91	5	,	,	PUNCT
ejpam-5363	91	6	t	t	PROPN
ejpam-5363	91	7	)	)	PUNCT
ejpam-5363	91	8	}	}	PUNCT
ejpam-5363	91	9	,	,	PUNCT
ejpam-5363	91	10	by	by	ADP
ejpam-5363	91	11	using	use	VERB
ejpam-5363	91	12	the	the	DET
ejpam-5363	91	13	inverse	inverse	NOUN
ejpam-5363	91	14	mohand	mohand	NOUN
ejpam-5363	91	15	transformation	transformation	NOUN
ejpam-5363	91	16	we	we	PRON
ejpam-5363	91	17	get	get	VERB
ejpam-5363	91	18	:	:	PUNCT
ejpam-5363	91	19	ϑ	ϑ	X
ejpam-5363	91	20	(	(	PUNCT
ejpam-5363	91	21	x	x	NOUN
ejpam-5363	91	22	,	,	PUNCT
ejpam-5363	91	23	t	t	PROPN
ejpam-5363	91	24	)	)	PUNCT
ejpam-5363	91	25	=	=	SYM
ejpam-5363	91	26	ϑ(x	ϑ(x	PROPN
ejpam-5363	91	27	,	,	PUNCT
ejpam-5363	91	28	0	0	NUM
ejpam-5363	91	29	)	)	PUNCT
ejpam-5363	92	1	+	+	X
ejpam-5363	92	2	m−1	m−1	PROPN
ejpam-5363	92	3	{	{	PUNCT
ejpam-5363	92	4	1	1	NUM
ejpam-5363	92	5	s	s	NOUN
ejpam-5363	92	6	m	m	VERB
ejpam-5363	92	7	{	{	PUNCT
ejpam-5363	92	8	£	£	X
ejpam-5363	92	9	(	(	PUNCT
ejpam-5363	92	10	ϑ	ϑ	X
ejpam-5363	92	11	(	(	PUNCT
ejpam-5363	92	12	x	x	NOUN
ejpam-5363	92	13	,	,	PUNCT
ejpam-5363	92	14	t	t	PROPN
ejpam-5363	92	15	)	)	PUNCT
ejpam-5363	92	16	)	)	PUNCT
ejpam-5363	93	1	+	+	VERB
ejpam-5363	93	2	n	n	X
ejpam-5363	93	3	(	(	PUNCT
ejpam-5363	93	4	ϑ	ϑ	X
ejpam-5363	93	5	(	(	PUNCT
ejpam-5363	93	6	x	x	NOUN
ejpam-5363	93	7	,	,	PUNCT
ejpam-5363	93	8	t	t	PROPN
ejpam-5363	93	9	)	)	PUNCT
ejpam-5363	93	10	)	)	PUNCT
ejpam-5363	94	1	+	+	CCONJ
ejpam-5363	94	2	δ	δ	PROPN
ejpam-5363	94	3	(	(	PUNCT
ejpam-5363	94	4	x	x	PROPN
ejpam-5363	94	5	,	,	PUNCT
ejpam-5363	94	6	t	t	PROPN
ejpam-5363	94	7	)	)	PUNCT
ejpam-5363	94	8	}	}	PUNCT
ejpam-5363	94	9	}	}	PUNCT
ejpam-5363	94	10	.	.	PUNCT
ejpam-5363	95	1	(	(	PUNCT
ejpam-5363	95	2	6	6	X
ejpam-5363	95	3	)	)	PUNCT
ejpam-5363	95	4	m.	m.	NOUN
ejpam-5363	95	5	adel	adel	PROPN
ejpam-5363	95	6	,	,	PUNCT
ejpam-5363	95	7	m.	m.	NOUN
ejpam-5363	95	8	m.	m.	NOUN
ejpam-5363	95	9	khader	khader	PROPN
ejpam-5363	95	10	,	,	PUNCT
ejpam-5363	95	11	t.	t.	PROPN
ejpam-5363	95	12	a.	a.	NOUN
ejpam-5363	95	13	assiri	assiri	PROPN
ejpam-5363	95	14	/	/	SYM
ejpam-5363	95	15	eur	eur	PROPN
ejpam-5363	95	16	.	.	PUNCT
ejpam-5363	96	1	j.	j.	PROPN
ejpam-5363	96	2	pure	pure	PROPN
ejpam-5363	96	3	appl	appl	PROPN
ejpam-5363	96	4	.	.	PROPN
ejpam-5363	96	5	math	math	PROPN
ejpam-5363	96	6	,	,	PUNCT
ejpam-5363	96	7	17	17	NUM
ejpam-5363	96	8	(	(	PUNCT
ejpam-5363	96	9	4	4	NUM
ejpam-5363	96	10	)	)	PUNCT
ejpam-5363	96	11	(	(	PUNCT
ejpam-5363	96	12	2024	2024	NUM
ejpam-5363	96	13	)	)	PUNCT
ejpam-5363	96	14	,	,	PUNCT
ejpam-5363	96	15	2812	2812	NUM
ejpam-5363	96	16	-	-	SYM
ejpam-5363	96	17	2827	2827	NUM
ejpam-5363	96	18	2817	2817	NUM
ejpam-5363	96	19	4	4	NUM
ejpam-5363	96	20	.	.	PUNCT
ejpam-5363	97	1	the	the	DET
ejpam-5363	97	2	implementation	implementation	NOUN
ejpam-5363	97	3	of	of	ADP
ejpam-5363	97	4	the	the	DET
ejpam-5363	97	5	modified	modify	VERB
ejpam-5363	97	6	adomian	adomian	NOUN
ejpam-5363	97	7	decomposition	decomposition	NOUN
ejpam-5363	97	8	method	method	NOUN
ejpam-5363	97	9	thus	thus	ADV
ejpam-5363	97	10	,	,	PUNCT
ejpam-5363	97	11	the	the	DET
ejpam-5363	97	12	first	first	ADJ
ejpam-5363	97	13	initial	initial	ADJ
ejpam-5363	97	14	component	component	NOUN
ejpam-5363	97	15	for	for	ADP
ejpam-5363	97	16	the	the	DET
ejpam-5363	97	17	approximate	approximate	ADJ
ejpam-5363	97	18	solution	solution	NOUN
ejpam-5363	97	19	of	of	ADP
ejpam-5363	97	20	the	the	DET
ejpam-5363	97	21	given	give	VERB
ejpam-5363	97	22	problem	problem	NOUN
ejpam-5363	97	23	(	(	PUNCT
ejpam-5363	97	24	4	4	NUM
ejpam-5363	97	25	)	)	PUNCT
ejpam-5363	97	26	will	will	AUX
ejpam-5363	97	27	be	be	AUX
ejpam-5363	97	28	obtained	obtain	VERB
ejpam-5363	97	29	as	as	SCONJ
ejpam-5363	97	30	follows	follow	VERB
ejpam-5363	97	31	:	:	PUNCT
ejpam-5363	97	32	ϑ0	ϑ0	PROPN
ejpam-5363	97	33	(	(	PUNCT
ejpam-5363	97	34	x	x	NOUN
ejpam-5363	97	35	,	,	PUNCT
ejpam-5363	97	36	t	t	PROPN
ejpam-5363	97	37	)	)	PUNCT
ejpam-5363	97	38	=	=	SYM
ejpam-5363	97	39	ϑ(x	ϑ(x	PROPN
ejpam-5363	97	40	,	,	PUNCT
ejpam-5363	97	41	0	0	NUM
ejpam-5363	97	42	)	)	PUNCT
ejpam-5363	98	1	+	+	X
ejpam-5363	98	2	m−1	m−1	PROPN
ejpam-5363	98	3	{	{	PUNCT
ejpam-5363	98	4	1	1	NUM
ejpam-5363	98	5	s	s	NOUN
ejpam-5363	98	6	m	m	VERB
ejpam-5363	98	7	{	{	PUNCT
ejpam-5363	98	8	δ	δ	PROPN
ejpam-5363	98	9	(	(	PUNCT
ejpam-5363	98	10	x	x	PROPN
ejpam-5363	98	11	,	,	PUNCT
ejpam-5363	98	12	t	t	PROPN
ejpam-5363	98	13	)	)	PUNCT
ejpam-5363	98	14	}	}	PUNCT
ejpam-5363	98	15	}	}	PUNCT
ejpam-5363	98	16	,	,	PUNCT
ejpam-5363	98	17	then	then	ADV
ejpam-5363	98	18	,	,	PUNCT
ejpam-5363	98	19	the	the	DET
ejpam-5363	98	20	final	final	ADJ
ejpam-5363	98	21	iterative	iterative	NOUN
ejpam-5363	98	22	scheme	scheme	NOUN
ejpam-5363	98	23	for	for	ADP
ejpam-5363	98	24	the	the	DET
ejpam-5363	98	25	other	other	ADJ
ejpam-5363	98	26	terms	term	NOUN
ejpam-5363	98	27	becomes	become	VERB
ejpam-5363	98	28	as	as	ADP
ejpam-5363	98	29	:	:	PUNCT
ejpam-5363	98	30	ϑm+1	ϑm+1	X
ejpam-5363	98	31	(	(	PUNCT
ejpam-5363	98	32	x	x	NOUN
ejpam-5363	98	33	,	,	PUNCT
ejpam-5363	98	34	t	t	PROPN
ejpam-5363	98	35	)	)	PUNCT
ejpam-5363	98	36	=	=	SYM
ejpam-5363	99	1	m−1	m−1	PROPN
ejpam-5363	99	2	{	{	PUNCT
ejpam-5363	99	3	1	1	NUM
ejpam-5363	99	4	s	s	NOUN
ejpam-5363	99	5	m	m	VERB
ejpam-5363	99	6	{	{	PUNCT
ejpam-5363	99	7	£	£	PROPN
ejpam-5363	99	8	(	(	PUNCT
ejpam-5363	99	9	ϑm	ϑm	INTJ
ejpam-5363	99	10	(	(	PUNCT
ejpam-5363	99	11	x	x	NOUN
ejpam-5363	99	12	,	,	PUNCT
ejpam-5363	99	13	t	t	PROPN
ejpam-5363	99	14	)	)	PUNCT
ejpam-5363	99	15	)	)	PUNCT
ejpam-5363	100	1	+	+	PUNCT
ejpam-5363	100	2	am	be	AUX
ejpam-5363	100	3	}	}	PUNCT
ejpam-5363	100	4	}	}	PUNCT
ejpam-5363	100	5	,	,	PUNCT
ejpam-5363	100	6	m	m	VERB
ejpam-5363	100	7	≥	≥	NOUN
ejpam-5363	100	8	0	0	NUM
ejpam-5363	100	9	.	.	PUNCT
ejpam-5363	101	1	(	(	PUNCT
ejpam-5363	101	2	7	7	X
ejpam-5363	101	3	)	)	PUNCT
ejpam-5363	101	4	the	the	DET
ejpam-5363	101	5	nonlinear	nonlinear	ADJ
ejpam-5363	101	6	term	term	NOUN
ejpam-5363	101	7	n	n	PART
ejpam-5363	101	8	is	be	AUX
ejpam-5363	101	9	decomposed	decompose	VERB
ejpam-5363	101	10	by	by	ADP
ejpam-5363	101	11	using	use	VERB
ejpam-5363	101	12	the	the	DET
ejpam-5363	101	13	adomian	adomian	NOUN
ejpam-5363	101	14	’s	’s	PART
ejpam-5363	101	15	polynomials	polynomial	NOUN
ejpam-5363	101	16	defined	define	VERB
ejpam-5363	101	17	as	as	ADP
ejpam-5363	101	18	:	:	PUNCT
ejpam-5363	101	19	n(ϑ	n(ϑ	X
ejpam-5363	101	20	)	)	PUNCT
ejpam-5363	102	1	=	=	PUNCT
ejpam-5363	103	1	∞∑	∞∑	NUM
ejpam-5363	103	2	m=0	m=0	PROPN
ejpam-5363	103	3	am	be	AUX
ejpam-5363	103	4	,	,	PUNCT
ejpam-5363	103	5	(	(	PUNCT
ejpam-5363	103	6	8)	8)	NUM
ejpam-5363	103	7	where	where	SCONJ
ejpam-5363	103	8	,	,	PUNCT
ejpam-5363	103	9	am	be	AUX
ejpam-5363	103	10	=	=	NUM
ejpam-5363	103	11	1	1	NUM
ejpam-5363	103	12	m	m	NOUN
ejpam-5363	103	13	!	!	PUNCT
ejpam-5363	104	1	[	[	PUNCT
ejpam-5363	104	2	∂m	∂m	PROPN
ejpam-5363	104	3	∂λm	∂λm	PROPN
ejpam-5363	104	4	[	[	PUNCT
ejpam-5363	104	5	n	n	X
ejpam-5363	104	6	(	(	PUNCT
ejpam-5363	104	7	∞∑	∞∑	DET
ejpam-5363	104	8	i=0	i=0	ADJ
ejpam-5363	104	9	λiϑi	λiϑi	X
ejpam-5363	104	10	)	)	PUNCT
ejpam-5363	104	11	]	]	PUNCT
ejpam-5363	104	12	]	]	PUNCT
ejpam-5363	104	13	λ=0	λ=0	X
ejpam-5363	104	14	,	,	PUNCT
ejpam-5363	104	15	m	m	VERB
ejpam-5363	104	16	=	=	SYM
ejpam-5363	104	17	0	0	NUM
ejpam-5363	104	18	,	,	PUNCT
ejpam-5363	104	19	1	1	NUM
ejpam-5363	104	20	,	,	PUNCT
ejpam-5363	104	21	·	·	PUNCT
ejpam-5363	104	22	·	·	PUNCT
ejpam-5363	104	23	·	·	PUNCT
ejpam-5363	104	24	(	(	PUNCT
ejpam-5363	104	25	9	9	X
ejpam-5363	104	26	)	)	PUNCT
ejpam-5363	104	27	for	for	ADP
ejpam-5363	104	28	more	more	ADJ
ejpam-5363	104	29	details	detail	NOUN
ejpam-5363	104	30	and	and	CCONJ
ejpam-5363	104	31	applications	application	NOUN
ejpam-5363	104	32	of	of	ADP
ejpam-5363	104	33	the	the	DET
ejpam-5363	104	34	modified	modify	VERB
ejpam-5363	104	35	decomposition	decomposition	NOUN
ejpam-5363	104	36	method	method	NOUN
ejpam-5363	104	37	see	see	VERB
ejpam-5363	104	38	[	[	X
ejpam-5363	104	39	7	7	NUM
ejpam-5363	104	40	]	]	SYM
ejpam-5363	104	41	.	.	PUNCT
ejpam-5363	105	1	5	5	NUM
ejpam-5363	105	2	.	.	X
ejpam-5363	105	3	basic	basic	ADJ
ejpam-5363	105	4	concepts	concept	NOUN
ejpam-5363	105	5	of	of	ADP
ejpam-5363	105	6	ahpmtm	ahpmtm	PROPN
ejpam-5363	105	7	in	in	ADP
ejpam-5363	105	8	this	this	DET
ejpam-5363	105	9	section	section	NOUN
ejpam-5363	105	10	,	,	PUNCT
ejpam-5363	105	11	a	a	DET
ejpam-5363	105	12	semi	semi	ADJ
ejpam-5363	105	13	-	-	ADJ
ejpam-5363	105	14	analytical	analytical	ADJ
ejpam-5363	105	15	method	method	NOUN
ejpam-5363	105	16	known	know	VERB
ejpam-5363	105	17	as	as	ADP
ejpam-5363	105	18	the	the	DET
ejpam-5363	105	19	ahpmtm	ahpmtm	NOUN
ejpam-5363	105	20	is	be	AUX
ejpam-5363	105	21	used	use	VERB
ejpam-5363	105	22	for	for	ADP
ejpam-5363	105	23	the	the	DET
ejpam-5363	105	24	solution	solution	NOUN
ejpam-5363	105	25	of	of	ADP
ejpam-5363	105	26	burger	burger	NOUN
ejpam-5363	105	27	’s	’s	PART
ejpam-5363	105	28	equation	equation	NOUN
ejpam-5363	105	29	.	.	PUNCT
ejpam-5363	106	1	consider	consider	VERB
ejpam-5363	106	2	the	the	DET
ejpam-5363	106	3	same	same	ADJ
ejpam-5363	106	4	general	general	ADJ
ejpam-5363	106	5	nonlinear	nonlinear	ADJ
ejpam-5363	106	6	burger	burger	NOUN
ejpam-5363	106	7	’s	’s	PART
ejpam-5363	106	8	equation	equation	NOUN
ejpam-5363	106	9	,	,	PUNCT
ejpam-5363	106	10	which	which	PRON
ejpam-5363	106	11	takes	take	VERB
ejpam-5363	106	12	the	the	DET
ejpam-5363	106	13	form	form	NOUN
ejpam-5363	106	14	(	(	PUNCT
ejpam-5363	106	15	4	4	NUM
ejpam-5363	106	16	)	)	PUNCT
ejpam-5363	106	17	.	.	PUNCT
ejpam-5363	107	1	by	by	ADP
ejpam-5363	107	2	using	use	VERB
ejpam-5363	107	3	the	the	DET
ejpam-5363	107	4	homotopy	homotopy	NOUN
ejpam-5363	107	5	perturbation	perturbation	NOUN
ejpam-5363	107	6	technique	technique	NOUN
ejpam-5363	107	7	to	to	ADP
ejpam-5363	107	8	its	its	PRON
ejpam-5363	107	9	corresponding	correspond	VERB
ejpam-5363	107	10	equation	equation	NOUN
ejpam-5363	107	11	(	(	PUNCT
ejpam-5363	107	12	6	6	NUM
ejpam-5363	107	13	)	)	PUNCT
ejpam-5363	107	14	,	,	PUNCT
ejpam-5363	107	15	we	we	PRON
ejpam-5363	107	16	get	get	VERB
ejpam-5363	107	17	:	:	PUNCT
ejpam-5363	107	18	(	(	PUNCT
ejpam-5363	107	19	1−	1−	NUM
ejpam-5363	107	20	ρ	ρ	NUM
ejpam-5363	107	21	)	)	PUNCT
ejpam-5363	107	22	(	(	PUNCT
ejpam-5363	107	23	ϑ	ϑ	X
ejpam-5363	107	24	(	(	PUNCT
ejpam-5363	107	25	x	x	X
ejpam-5363	107	26	,	,	PUNCT
ejpam-5363	107	27	t)−	t)−	PROPN
ejpam-5363	107	28	ϑ	ϑ	X
ejpam-5363	107	29	(	(	PUNCT
ejpam-5363	107	30	x	x	X
ejpam-5363	107	31	,	,	PUNCT
ejpam-5363	107	32	0	0	NUM
ejpam-5363	107	33	)	)	PUNCT
ejpam-5363	107	34	)	)	PUNCT
ejpam-5363	108	1	+	+	CCONJ
ejpam-5363	108	2	ρ	ρ	PROPN
ejpam-5363	108	3	(	(	PUNCT
ejpam-5363	108	4	ϑ	ϑ	X
ejpam-5363	108	5	(	(	PUNCT
ejpam-5363	108	6	x	x	NOUN
ejpam-5363	108	7	,	,	PUNCT
ejpam-5363	108	8	t)−	t)−	PROPN
ejpam-5363	108	9	ϑ(x	ϑ(x	PROPN
ejpam-5363	108	10	,	,	PUNCT
ejpam-5363	108	11	0)))−	0)))−	NOUN
ejpam-5363	108	12	ρ	ρ	NOUN
ejpam-5363	108	13	(	(	PUNCT
ejpam-5363	108	14	m−1	m−1	PROPN
ejpam-5363	108	15	{	{	PUNCT
ejpam-5363	108	16	1	1	NUM
ejpam-5363	108	17	s	s	NOUN
ejpam-5363	108	18	m	m	VERB
ejpam-5363	108	19	{	{	PUNCT
ejpam-5363	108	20	£	£	PROPN
ejpam-5363	108	21	(	(	PUNCT
ejpam-5363	108	22	ϑ	ϑ	X
ejpam-5363	108	23	(	(	PUNCT
ejpam-5363	108	24	x	x	NOUN
ejpam-5363	108	25	,	,	PUNCT
ejpam-5363	108	26	t	t	PROPN
ejpam-5363	108	27	)	)	PUNCT
ejpam-5363	108	28	)	)	PUNCT
ejpam-5363	109	1	+	+	VERB
ejpam-5363	109	2	n	n	X
ejpam-5363	109	3	(	(	PUNCT
ejpam-5363	109	4	ϑ	ϑ	X
ejpam-5363	109	5	(	(	PUNCT
ejpam-5363	109	6	x	x	NOUN
ejpam-5363	109	7	,	,	PUNCT
ejpam-5363	109	8	t	t	PROPN
ejpam-5363	109	9	)	)	PUNCT
ejpam-5363	109	10	)	)	PUNCT
ejpam-5363	110	1	+	+	CCONJ
ejpam-5363	110	2	δ	δ	PROPN
ejpam-5363	110	3	(	(	PUNCT
ejpam-5363	110	4	x	x	PROPN
ejpam-5363	110	5	,	,	PUNCT
ejpam-5363	110	6	t	t	PROPN
ejpam-5363	110	7	)	)	PUNCT
ejpam-5363	110	8	}	}	PUNCT
ejpam-5363	110	9	}	}	PUNCT
ejpam-5363	110	10	)	)	PUNCT
ejpam-5363	110	11	=	=	SYM
ejpam-5363	110	12	0	0	NUM
ejpam-5363	110	13	,	,	PUNCT
ejpam-5363	110	14	(	(	PUNCT
ejpam-5363	110	15	10	10	NUM
ejpam-5363	110	16	)	)	PUNCT
ejpam-5363	110	17	here	here	ADV
ejpam-5363	110	18	,	,	PUNCT
ejpam-5363	110	19	ϑ(x	ϑ(x	PROPN
ejpam-5363	110	20	,	,	PUNCT
ejpam-5363	110	21	t	t	PROPN
ejpam-5363	110	22	)	)	PUNCT
ejpam-5363	110	23	takes	take	VERB
ejpam-5363	110	24	the	the	DET
ejpam-5363	110	25	following	follow	VERB
ejpam-5363	110	26	form	form	NOUN
ejpam-5363	110	27	:	:	PUNCT
ejpam-5363	110	28	ϑ(x	ϑ(x	PROPN
ejpam-5363	110	29	,	,	PUNCT
ejpam-5363	110	30	t	t	PROPN
ejpam-5363	110	31	)	)	PUNCT
ejpam-5363	110	32	=	=	PUNCT
ejpam-5363	111	1	∞∑	∞∑	ADJ
ejpam-5363	111	2	n=0	n=0	NUM
ejpam-5363	111	3	ϑn(x	ϑn(x	NUM
ejpam-5363	111	4	,	,	PUNCT
ejpam-5363	111	5	t)ρ	t)ρ	NOUN
ejpam-5363	111	6	n	n	CCONJ
ejpam-5363	111	7	,	,	PUNCT
ejpam-5363	111	8	(	(	PUNCT
ejpam-5363	111	9	11	11	NUM
ejpam-5363	111	10	)	)	PUNCT
ejpam-5363	111	11	and	and	CCONJ
ejpam-5363	111	12	the	the	DET
ejpam-5363	111	13	nonlinear	nonlinear	ADJ
ejpam-5363	111	14	term	term	NOUN
ejpam-5363	111	15	takes	take	VERB
ejpam-5363	111	16	the	the	DET
ejpam-5363	111	17	following	follow	VERB
ejpam-5363	111	18	form	form	NOUN
ejpam-5363	111	19	:	:	PUNCT
ejpam-5363	111	20	n	n	X
ejpam-5363	111	21	(	(	PUNCT
ejpam-5363	111	22	ϑ(x	ϑ(x	PROPN
ejpam-5363	111	23	,	,	PUNCT
ejpam-5363	111	24	t	t	PROPN
ejpam-5363	111	25	)	)	PUNCT
ejpam-5363	111	26	)	)	PUNCT
ejpam-5363	112	1	=	=	PUNCT
ejpam-5363	113	1	∞∑	∞∑	PRON
ejpam-5363	113	2	n=0	n=0	NUM
ejpam-5363	113	3	hnρ	hnρ	NOUN
ejpam-5363	113	4	n	n	CCONJ
ejpam-5363	113	5	,	,	PUNCT
ejpam-5363	113	6	(	(	PUNCT
ejpam-5363	113	7	12	12	NUM
ejpam-5363	113	8	)	)	PUNCT
ejpam-5363	113	9	m.	m.	NOUN
ejpam-5363	113	10	adel	adel	PROPN
ejpam-5363	113	11	,	,	PUNCT
ejpam-5363	113	12	m.	m.	NOUN
ejpam-5363	113	13	m.	m.	NOUN
ejpam-5363	113	14	khader	khader	PROPN
ejpam-5363	113	15	,	,	PUNCT
ejpam-5363	113	16	t.	t.	PROPN
ejpam-5363	113	17	a.	a.	NOUN
ejpam-5363	113	18	assiri	assiri	PROPN
ejpam-5363	113	19	/	/	SYM
ejpam-5363	113	20	eur	eur	PROPN
ejpam-5363	113	21	.	.	PUNCT
ejpam-5363	114	1	j.	j.	PROPN
ejpam-5363	114	2	pure	pure	PROPN
ejpam-5363	114	3	appl	appl	PROPN
ejpam-5363	114	4	.	.	PROPN
ejpam-5363	114	5	math	math	PROPN
ejpam-5363	114	6	,	,	PUNCT
ejpam-5363	114	7	17	17	NUM
ejpam-5363	114	8	(	(	PUNCT
ejpam-5363	114	9	4	4	NUM
ejpam-5363	114	10	)	)	PUNCT
ejpam-5363	114	11	(	(	PUNCT
ejpam-5363	114	12	2024	2024	NUM
ejpam-5363	114	13	)	)	PUNCT
ejpam-5363	114	14	,	,	PUNCT
ejpam-5363	114	15	2812	2812	NUM
ejpam-5363	114	16	-	-	SYM
ejpam-5363	114	17	2827	2827	NUM
ejpam-5363	114	18	2818	2818	NUM
ejpam-5363	114	19	where	where	SCONJ
ejpam-5363	114	20	hn	hn	PRON
ejpam-5363	114	21	represent	represent	VERB
ejpam-5363	114	22	the	the	DET
ejpam-5363	114	23	accelerated	accelerate	VERB
ejpam-5363	114	24	he	he	PRON
ejpam-5363	114	25	’s	’	VERB
ejpam-5363	114	26	polynomials	polynomial	NOUN
ejpam-5363	114	27	and	and	CCONJ
ejpam-5363	114	28	are	be	AUX
ejpam-5363	114	29	defined	define	VERB
ejpam-5363	114	30	as	as	ADP
ejpam-5363	114	31	:	:	PUNCT
ejpam-5363	114	32	hn(ϑ0	hn(ϑ0	NUM
ejpam-5363	114	33	,	,	PUNCT
ejpam-5363	114	34	ϑ1	ϑ1	PROPN
ejpam-5363	114	35	,	,	PUNCT
ejpam-5363	114	36	...	...	PUNCT
ejpam-5363	114	37	,	,	PUNCT
ejpam-5363	114	38	ϑn	ϑn	NOUN
ejpam-5363	114	39	)	)	PUNCT
ejpam-5363	114	40	=	=	VERB
ejpam-5363	114	41	n(ϑn)−	n(ϑn)−	X
ejpam-5363	114	42	n−1∑	n−1∑	PROPN
ejpam-5363	114	43	j	j	PROPN
ejpam-5363	115	1	=	=	PROPN
ejpam-5363	115	2	o	o	X
ejpam-5363	115	3	ĥj	ĥj	NOUN
ejpam-5363	115	4	,	,	PUNCT
ejpam-5363	115	5	where	where	SCONJ
ejpam-5363	115	6	ĥj	ĥj	PROPN
ejpam-5363	115	7	are	be	AUX
ejpam-5363	115	8	the	the	DET
ejpam-5363	115	9	general	general	ADJ
ejpam-5363	115	10	he	he	PRON
ejpam-5363	115	11	’s	’	VERB
ejpam-5363	115	12	polynomials	polynomial	NOUN
ejpam-5363	115	13	.	.	PUNCT
ejpam-5363	116	1	now	now	ADV
ejpam-5363	116	2	,	,	PUNCT
ejpam-5363	116	3	by	by	ADP
ejpam-5363	116	4	substituting	substitute	VERB
ejpam-5363	116	5	the	the	DET
ejpam-5363	116	6	equations	equation	NOUN
ejpam-5363	116	7	(	(	PUNCT
ejpam-5363	116	8	11	11	NUM
ejpam-5363	116	9	)	)	PUNCT
ejpam-5363	116	10	and	and	CCONJ
ejpam-5363	116	11	(	(	PUNCT
ejpam-5363	116	12	12	12	NUM
ejpam-5363	116	13	)	)	PUNCT
ejpam-5363	116	14	in	in	ADP
ejpam-5363	116	15	equation	equation	NOUN
ejpam-5363	116	16	(	(	PUNCT
ejpam-5363	116	17	10	10	NUM
ejpam-5363	116	18	)	)	PUNCT
ejpam-5363	116	19	,	,	PUNCT
ejpam-5363	116	20	we	we	PRON
ejpam-5363	116	21	get	get	VERB
ejpam-5363	116	22	the	the	DET
ejpam-5363	116	23	final	final	ADJ
ejpam-5363	116	24	recursive	recursive	ADJ
ejpam-5363	116	25	scheme	scheme	NOUN
ejpam-5363	116	26	:	:	PUNCT
ejpam-5363	116	27	∞∑	∞∑	NUM
ejpam-5363	116	28	n=0	n=0	NUM
ejpam-5363	116	29	ϑn	ϑn	NOUN
ejpam-5363	116	30	(	(	PUNCT
ejpam-5363	116	31	x	x	NOUN
ejpam-5363	116	32	,	,	PUNCT
ejpam-5363	116	33	t	t	PROPN
ejpam-5363	116	34	)	)	PUNCT
ejpam-5363	116	35	ρ	ρ	PROPN
ejpam-5363	116	36	n	n	NOUN
ejpam-5363	116	37	=	=	SYM
ejpam-5363	116	38	ρ	ρ	PROPN
ejpam-5363	116	39	(	(	PUNCT
ejpam-5363	116	40	ϑ	ϑ	X
ejpam-5363	116	41	(	(	PUNCT
ejpam-5363	116	42	x	x	X
ejpam-5363	116	43	,	,	PUNCT
ejpam-5363	116	44	0	0	NUM
ejpam-5363	116	45	)	)	PUNCT
ejpam-5363	117	1	+	+	X
ejpam-5363	117	2	m−1	m−1	PROPN
ejpam-5363	117	3	{	{	PUNCT
ejpam-5363	117	4	1	1	NUM
ejpam-5363	117	5	s	s	NOUN
ejpam-5363	117	6	m	m	VERB
ejpam-5363	117	7	{	{	PUNCT
ejpam-5363	117	8	∞∑	∞∑	PROPN
ejpam-5363	117	9	n=0	n=0	SYM
ejpam-5363	117	10	£	£	NOUN
ejpam-5363	117	11	(	(	PUNCT
ejpam-5363	117	12	ϑn(x	ϑn(x	X
ejpam-5363	117	13	,	,	PUNCT
ejpam-5363	117	14	t	t	PROPN
ejpam-5363	117	15	)	)	PUNCT
ejpam-5363	117	16	)	)	PUNCT
ejpam-5363	118	1	ρ	ρ	PROPN
ejpam-5363	118	2	n	n	NOUN
ejpam-5363	118	3	+	+	CCONJ
ejpam-5363	119	1	∞∑	∞∑	NUM
ejpam-5363	119	2	n=0	n=0	NUM
ejpam-5363	119	3	hnρ	hnρ	NOUN
ejpam-5363	119	4	n	n	PROPN
ejpam-5363	119	5	+	+	CCONJ
ejpam-5363	119	6	δ	δ	PROPN
ejpam-5363	119	7	(	(	PUNCT
ejpam-5363	119	8	x	x	PROPN
ejpam-5363	119	9	,	,	PUNCT
ejpam-5363	119	10	t	t	PROPN
ejpam-5363	119	11	)	)	PUNCT
ejpam-5363	119	12	}	}	PUNCT
ejpam-5363	119	13	}	}	PUNCT
ejpam-5363	119	14	)	)	PUNCT
ejpam-5363	119	15	,	,	PUNCT
ejpam-5363	119	16	(	(	PUNCT
ejpam-5363	119	17	13	13	NUM
ejpam-5363	119	18	)	)	PUNCT
ejpam-5363	119	19	and	and	CCONJ
ejpam-5363	119	20	the	the	DET
ejpam-5363	119	21	approximated	approximate	VERB
ejpam-5363	119	22	terms	term	NOUN
ejpam-5363	119	23	will	will	AUX
ejpam-5363	119	24	be	be	AUX
ejpam-5363	119	25	obtained	obtain	VERB
ejpam-5363	119	26	by	by	ADP
ejpam-5363	119	27	comparing	compare	VERB
ejpam-5363	119	28	the	the	DET
ejpam-5363	119	29	coefficient	coefficient	NOUN
ejpam-5363	119	30	of	of	ADP
ejpam-5363	119	31	the	the	DET
ejpam-5363	119	32	like	like	ADJ
ejpam-5363	119	33	powers	power	NOUN
ejpam-5363	119	34	of	of	ADP
ejpam-5363	119	35	ρ	ρ	PROPN
ejpam-5363	119	36	.	.	PROPN
ejpam-5363	120	1	6	6	NUM
ejpam-5363	120	2	.	.	X
ejpam-5363	120	3	numerical	numerical	ADJ
ejpam-5363	120	4	applications	application	NOUN
ejpam-5363	120	5	in	in	ADP
ejpam-5363	120	6	this	this	DET
ejpam-5363	120	7	section	section	NOUN
ejpam-5363	120	8	,	,	PUNCT
ejpam-5363	120	9	we	we	PRON
ejpam-5363	120	10	have	have	AUX
ejpam-5363	120	11	tested	test	VERB
ejpam-5363	120	12	the	the	DET
ejpam-5363	120	13	applicability	applicability	NOUN
ejpam-5363	120	14	and	and	CCONJ
ejpam-5363	120	15	validity	validity	NOUN
ejpam-5363	120	16	of	of	ADP
ejpam-5363	120	17	the	the	DET
ejpam-5363	120	18	madm	madm	NOUN
ejpam-5363	120	19	and	and	CCONJ
ejpam-5363	120	20	ahpmtm	ahpmtm	ADJ
ejpam-5363	120	21	in	in	ADP
ejpam-5363	120	22	the	the	DET
ejpam-5363	120	23	solution	solution	NOUN
ejpam-5363	120	24	for	for	ADP
ejpam-5363	120	25	nonlinear	nonlinear	ADJ
ejpam-5363	120	26	burger	burger	NOUN
ejpam-5363	120	27	’s	’s	PART
ejpam-5363	120	28	equations	equation	NOUN
ejpam-5363	120	29	.	.	PUNCT
ejpam-5363	121	1	6.1	6.1	NUM
ejpam-5363	121	2	.	.	PUNCT
ejpam-5363	121	3	implementation	implementation	NOUN
ejpam-5363	121	4	of	of	ADP
ejpam-5363	121	5	the	the	DET
ejpam-5363	121	6	madm	madm	NOUN
ejpam-5363	121	7	on	on	ADP
ejpam-5363	121	8	problem	problem	NOUN
ejpam-5363	121	9	1	1	NUM
ejpam-5363	121	10	consider	consider	VERB
ejpam-5363	121	11	the	the	DET
ejpam-5363	121	12	nonlinear	nonlinear	ADJ
ejpam-5363	121	13	burger	burger	NOUN
ejpam-5363	121	14	’s	’s	PART
ejpam-5363	121	15	equation	equation	NOUN
ejpam-5363	121	16	defined	define	VERB
ejpam-5363	121	17	as	as	ADP
ejpam-5363	121	18	[	[	X
ejpam-5363	121	19	5	5	NUM
ejpam-5363	121	20	]	]	PUNCT
ejpam-5363	121	21	:	:	PUNCT
ejpam-5363	121	22	ϑt	ϑt	PUNCT
ejpam-5363	121	23	(	(	PUNCT
ejpam-5363	121	24	x	x	NOUN
ejpam-5363	121	25	,	,	PUNCT
ejpam-5363	121	26	t	t	PROPN
ejpam-5363	121	27	)	)	PUNCT
ejpam-5363	121	28	=	=	VERB
ejpam-5363	122	1	ϑxx	ϑxx	NOUN
ejpam-5363	122	2	(	(	PUNCT
ejpam-5363	122	3	x	x	NOUN
ejpam-5363	122	4	,	,	PUNCT
ejpam-5363	122	5	t)ϑx	t)ϑx	PROPN
ejpam-5363	122	6	(	(	PUNCT
ejpam-5363	122	7	x	x	X
ejpam-5363	122	8	,	,	PUNCT
ejpam-5363	122	9	t)−	t)−	PROPN
ejpam-5363	122	10	ϑx	ϑx	INTJ
ejpam-5363	122	11	(	(	PUNCT
ejpam-5363	122	12	x	x	X
ejpam-5363	122	13	,	,	PUNCT
ejpam-5363	122	14	t)−	t)−	PROPN
ejpam-5363	122	15	ϑ	ϑ	X
ejpam-5363	122	16	(	(	PUNCT
ejpam-5363	122	17	x	x	PROPN
ejpam-5363	122	18	,	,	PUNCT
ejpam-5363	122	19	t	t	PROPN
ejpam-5363	122	20	)	)	PUNCT
ejpam-5363	122	21	+	+	CCONJ
ejpam-5363	123	1	δ(x	δ(x	PROPN
ejpam-5363	123	2	,	,	PUNCT
ejpam-5363	123	3	t	t	PROPN
ejpam-5363	123	4	)	)	PUNCT
ejpam-5363	123	5	,	,	PUNCT
ejpam-5363	123	6	t	t	X
ejpam-5363	123	7	>	>	X
ejpam-5363	123	8	0	0	PROPN
ejpam-5363	123	9	,	,	PUNCT
ejpam-5363	123	10	x	x	X
ejpam-5363	123	11	∈	∈	PROPN
ejpam-5363	123	12	r	r	NOUN
ejpam-5363	123	13	,	,	PUNCT
ejpam-5363	123	14	(	(	PUNCT
ejpam-5363	123	15	14	14	NUM
ejpam-5363	123	16	)	)	PUNCT
ejpam-5363	123	17	with	with	ADP
ejpam-5363	123	18	the	the	DET
ejpam-5363	123	19	initial	initial	ADJ
ejpam-5363	123	20	condition	condition	NOUN
ejpam-5363	123	21	ϑ(x	ϑ(x	PROPN
ejpam-5363	123	22	,	,	PUNCT
ejpam-5363	123	23	0	0	NUM
ejpam-5363	123	24	)	)	PUNCT
ejpam-5363	123	25	=	=	SYM
ejpam-5363	124	1	0	0	X
ejpam-5363	124	2	.	.	PUNCT
ejpam-5363	125	1	here	here	ADV
ejpam-5363	125	2	,	,	PUNCT
ejpam-5363	125	3	δ(x	δ(x	PROPN
ejpam-5363	125	4	,	,	PUNCT
ejpam-5363	125	5	t	t	PROPN
ejpam-5363	125	6	)	)	PUNCT
ejpam-5363	125	7	=	=	SYM
ejpam-5363	125	8	e−x	e−x	PROPN
ejpam-5363	125	9	+	+	CCONJ
ejpam-5363	125	10	t2	t2	NOUN
ejpam-5363	125	11	e−2x	e−2x	NOUN
ejpam-5363	125	12	,	,	PUNCT
ejpam-5363	125	13	and	and	CCONJ
ejpam-5363	125	14	the	the	DET
ejpam-5363	125	15	nonlinear	nonlinear	ADJ
ejpam-5363	125	16	operator	operator	NOUN
ejpam-5363	125	17	n	n	PRON
ejpam-5363	125	18	(	(	PUNCT
ejpam-5363	125	19	ϑ(x	ϑ(x	PROPN
ejpam-5363	125	20	,	,	PUNCT
ejpam-5363	125	21	t	t	PROPN
ejpam-5363	125	22	)	)	PUNCT
ejpam-5363	125	23	)	)	PUNCT
ejpam-5363	126	1	=	=	PUNCT
ejpam-5363	126	2	ϑxx	ϑxx	NOUN
ejpam-5363	126	3	(	(	PUNCT
ejpam-5363	126	4	x	x	NOUN
ejpam-5363	126	5	,	,	PUNCT
ejpam-5363	126	6	t)ϑx	t)ϑx	PROPN
ejpam-5363	126	7	(	(	PUNCT
ejpam-5363	126	8	x	x	X
ejpam-5363	126	9	,	,	PUNCT
ejpam-5363	126	10	t	t	PROPN
ejpam-5363	126	11	)	)	PUNCT
ejpam-5363	126	12	.	.	PUNCT
ejpam-5363	127	1	using	use	VERB
ejpam-5363	127	2	mohand	mohand	NOUN
ejpam-5363	127	3	transformation	transformation	NOUN
ejpam-5363	127	4	to	to	ADP
ejpam-5363	127	5	equation	equation	NOUN
ejpam-5363	127	6	(	(	PUNCT
ejpam-5363	127	7	14	14	NUM
ejpam-5363	127	8	)	)	PUNCT
ejpam-5363	127	9	as	as	ADP
ejpam-5363	127	10	:	:	PUNCT
ejpam-5363	127	11	m	m	VERB
ejpam-5363	127	12	{	{	PUNCT
ejpam-5363	127	13	ϑt	ϑt	PROPN
ejpam-5363	127	14	(	(	PUNCT
ejpam-5363	127	15	x	x	NOUN
ejpam-5363	127	16	,	,	PUNCT
ejpam-5363	127	17	t	t	PROPN
ejpam-5363	127	18	)	)	PUNCT
ejpam-5363	127	19	}	}	PUNCT
ejpam-5363	127	20	=	=	PUNCT
ejpam-5363	127	21	m	m	PRON
ejpam-5363	127	22	{	{	PUNCT
ejpam-5363	127	23	−ϑx	−ϑx	NOUN
ejpam-5363	127	24	(	(	PUNCT
ejpam-5363	127	25	x	x	X
ejpam-5363	127	26	,	,	PUNCT
ejpam-5363	127	27	t)−	t)−	PROPN
ejpam-5363	127	28	ϑ	ϑ	X
ejpam-5363	127	29	(	(	PUNCT
ejpam-5363	127	30	x	x	PROPN
ejpam-5363	127	31	,	,	PUNCT
ejpam-5363	127	32	t	t	PROPN
ejpam-5363	127	33	)	)	PUNCT
ejpam-5363	127	34	+	+	NOUN
ejpam-5363	127	35	n	n	PROPN
ejpam-5363	127	36	(	(	PUNCT
ejpam-5363	127	37	ϑ(x	ϑ(x	PROPN
ejpam-5363	127	38	,	,	PUNCT
ejpam-5363	127	39	t	t	PROPN
ejpam-5363	127	40	)	)	PUNCT
ejpam-5363	127	41	)	)	PUNCT
ejpam-5363	128	1	+	+	CCONJ
ejpam-5363	128	2	δ(x	δ(x	PROPN
ejpam-5363	128	3	,	,	PUNCT
ejpam-5363	128	4	t	t	PROPN
ejpam-5363	128	5	)	)	PUNCT
ejpam-5363	128	6	}	}	PUNCT
ejpam-5363	128	7	,	,	PUNCT
ejpam-5363	128	8	by	by	ADP
ejpam-5363	128	9	using	use	VERB
ejpam-5363	128	10	the	the	DET
ejpam-5363	128	11	transformation	transformation	NOUN
ejpam-5363	128	12	property	property	NOUN
ejpam-5363	128	13	defined	define	VERB
ejpam-5363	128	14	by	by	ADP
ejpam-5363	128	15	(	(	PUNCT
ejpam-5363	128	16	1	1	NUM
ejpam-5363	128	17	)	)	PUNCT
ejpam-5363	128	18	,	,	PUNCT
ejpam-5363	128	19	we	we	PRON
ejpam-5363	128	20	get	get	VERB
ejpam-5363	128	21	:	:	PUNCT
ejpam-5363	128	22	s{r(x	s{r(x	PROPN
ejpam-5363	128	23	,	,	PUNCT
ejpam-5363	128	24	s)−	s)−	PROPN
ejpam-5363	128	25	s	s	PART
ejpam-5363	128	26	ϑ(x	ϑ(x	PROPN
ejpam-5363	128	27	,	,	PUNCT
ejpam-5363	128	28	0	0	NUM
ejpam-5363	128	29	)	)	PUNCT
ejpam-5363	128	30	}	}	PUNCT
ejpam-5363	129	1	=	=	PUNCT
ejpam-5363	129	2	m	m	PRON
ejpam-5363	129	3	{	{	PUNCT
ejpam-5363	129	4	−ϑx	−ϑx	NOUN
ejpam-5363	129	5	(	(	PUNCT
ejpam-5363	129	6	x	x	X
ejpam-5363	129	7	,	,	PUNCT
ejpam-5363	129	8	t)−	t)−	PROPN
ejpam-5363	129	9	ϑ	ϑ	X
ejpam-5363	129	10	(	(	PUNCT
ejpam-5363	129	11	x	x	PROPN
ejpam-5363	129	12	,	,	PUNCT
ejpam-5363	129	13	t	t	PROPN
ejpam-5363	129	14	)	)	PUNCT
ejpam-5363	129	15	+	+	NOUN
ejpam-5363	129	16	n	n	PROPN
ejpam-5363	129	17	(	(	PUNCT
ejpam-5363	129	18	ϑ(x	ϑ(x	PROPN
ejpam-5363	129	19	,	,	PUNCT
ejpam-5363	129	20	t	t	PROPN
ejpam-5363	129	21	)	)	PUNCT
ejpam-5363	129	22	)	)	PUNCT
ejpam-5363	130	1	+	+	CCONJ
ejpam-5363	130	2	δ(x	δ(x	PROPN
ejpam-5363	130	3	,	,	PUNCT
ejpam-5363	130	4	t	t	PROPN
ejpam-5363	130	5	)	)	PUNCT
ejpam-5363	130	6	}	}	PUNCT
ejpam-5363	130	7	,	,	PUNCT
ejpam-5363	130	8	(	(	PUNCT
ejpam-5363	130	9	15	15	NUM
ejpam-5363	130	10	)	)	PUNCT
ejpam-5363	130	11	after	after	ADP
ejpam-5363	130	12	the	the	DET
ejpam-5363	130	13	simplification	simplification	NOUN
ejpam-5363	130	14	of	of	ADP
ejpam-5363	130	15	the	the	DET
ejpam-5363	130	16	equation	equation	NOUN
ejpam-5363	130	17	(	(	PUNCT
ejpam-5363	130	18	15	15	NUM
ejpam-5363	130	19	)	)	PUNCT
ejpam-5363	130	20	,	,	PUNCT
ejpam-5363	130	21	the	the	DET
ejpam-5363	130	22	simplified	simplified	ADJ
ejpam-5363	130	23	form	form	NOUN
ejpam-5363	130	24	takes	take	VERB
ejpam-5363	130	25	the	the	DET
ejpam-5363	130	26	following	follow	VERB
ejpam-5363	130	27	form	form	NOUN
ejpam-5363	130	28	:	:	PUNCT
ejpam-5363	130	29	r(x	r(x	PROPN
ejpam-5363	130	30	,	,	PUNCT
ejpam-5363	130	31	s	s	PART
ejpam-5363	130	32	)	)	PUNCT
ejpam-5363	130	33	=	=	SYM
ejpam-5363	130	34	s	s	PROPN
ejpam-5363	130	35	ϑ(x	ϑ(x	PROPN
ejpam-5363	130	36	,	,	PUNCT
ejpam-5363	130	37	0	0	NUM
ejpam-5363	130	38	)	)	PUNCT
ejpam-5363	131	1	+	+	CCONJ
ejpam-5363	131	2	1	1	NUM
ejpam-5363	131	3	s	s	NOUN
ejpam-5363	131	4	m	m	PRON
ejpam-5363	131	5	{	{	PUNCT
ejpam-5363	131	6	−ϑx	−ϑx	NOUN
ejpam-5363	131	7	(	(	PUNCT
ejpam-5363	131	8	x	x	X
ejpam-5363	131	9	,	,	PUNCT
ejpam-5363	131	10	t)−	t)−	PROPN
ejpam-5363	131	11	ϑ	ϑ	X
ejpam-5363	131	12	(	(	PUNCT
ejpam-5363	131	13	x	x	PROPN
ejpam-5363	131	14	,	,	PUNCT
ejpam-5363	131	15	t	t	PROPN
ejpam-5363	131	16	)	)	PUNCT
ejpam-5363	131	17	+	+	NOUN
ejpam-5363	131	18	n	n	PROPN
ejpam-5363	131	19	(	(	PUNCT
ejpam-5363	131	20	ϑ(x	ϑ(x	PROPN
ejpam-5363	131	21	,	,	PUNCT
ejpam-5363	131	22	t	t	PROPN
ejpam-5363	131	23	)	)	PUNCT
ejpam-5363	131	24	)	)	PUNCT
ejpam-5363	132	1	+	+	CCONJ
ejpam-5363	132	2	δ(x	δ(x	PROPN
ejpam-5363	132	3	,	,	PUNCT
ejpam-5363	132	4	t	t	PROPN
ejpam-5363	132	5	)	)	PUNCT
ejpam-5363	132	6	}	}	PUNCT
ejpam-5363	132	7	,	,	PUNCT
ejpam-5363	132	8	(	(	PUNCT
ejpam-5363	132	9	16	16	X
ejpam-5363	132	10	)	)	PUNCT
ejpam-5363	132	11	implementing	implement	VERB
ejpam-5363	132	12	the	the	DET
ejpam-5363	132	13	inverse	inverse	NOUN
ejpam-5363	132	14	of	of	ADP
ejpam-5363	132	15	mohand	mohand	NOUN
ejpam-5363	132	16	transformation	transformation	NOUN
ejpam-5363	132	17	equation	equation	NOUN
ejpam-5363	132	18	(	(	PUNCT
ejpam-5363	132	19	16	16	NUM
ejpam-5363	132	20	)	)	PUNCT
ejpam-5363	132	21	,	,	PUNCT
ejpam-5363	132	22	the	the	DET
ejpam-5363	132	23	scheme	scheme	NOUN
ejpam-5363	132	24	becomes	become	VERB
ejpam-5363	132	25	as	as	ADP
ejpam-5363	132	26	:	:	PUNCT
ejpam-5363	132	27	ϑ	ϑ	X
ejpam-5363	132	28	(	(	PUNCT
ejpam-5363	132	29	x	x	NOUN
ejpam-5363	132	30	,	,	PUNCT
ejpam-5363	132	31	t	t	PROPN
ejpam-5363	132	32	)	)	PUNCT
ejpam-5363	132	33	=	=	SYM
ejpam-5363	132	34	ϑ(x	ϑ(x	PROPN
ejpam-5363	132	35	,	,	PUNCT
ejpam-5363	132	36	0	0	NUM
ejpam-5363	132	37	)	)	PUNCT
ejpam-5363	133	1	+	+	X
ejpam-5363	133	2	m−1	m−1	PROPN
ejpam-5363	133	3	{	{	PUNCT
ejpam-5363	133	4	1	1	NUM
ejpam-5363	133	5	s	s	NOUN
ejpam-5363	133	6	m	m	PRON
ejpam-5363	133	7	{	{	PUNCT
ejpam-5363	133	8	−ϑx	−ϑx	NOUN
ejpam-5363	133	9	(	(	PUNCT
ejpam-5363	133	10	x	x	X
ejpam-5363	133	11	,	,	PUNCT
ejpam-5363	133	12	t)−	t)−	PROPN
ejpam-5363	133	13	ϑ	ϑ	X
ejpam-5363	133	14	(	(	PUNCT
ejpam-5363	133	15	x	x	PROPN
ejpam-5363	133	16	,	,	PUNCT
ejpam-5363	133	17	t	t	PROPN
ejpam-5363	133	18	)	)	PUNCT
ejpam-5363	133	19	+	+	NOUN
ejpam-5363	133	20	n	n	PROPN
ejpam-5363	133	21	(	(	PUNCT
ejpam-5363	133	22	ϑ(x	ϑ(x	PROPN
ejpam-5363	133	23	,	,	PUNCT
ejpam-5363	133	24	t	t	PROPN
ejpam-5363	133	25	)	)	PUNCT
ejpam-5363	133	26	)	)	PUNCT
ejpam-5363	134	1	+	+	CCONJ
ejpam-5363	134	2	δ(x	δ(x	PROPN
ejpam-5363	134	3	,	,	PUNCT
ejpam-5363	134	4	t	t	PROPN
ejpam-5363	134	5	)	)	PUNCT
ejpam-5363	134	6	}	}	PUNCT
ejpam-5363	134	7	}	}	PUNCT
ejpam-5363	134	8	.	.	PUNCT
ejpam-5363	135	1	(	(	PUNCT
ejpam-5363	135	2	17	17	NUM
ejpam-5363	135	3	)	)	PUNCT
ejpam-5363	135	4	m.	m.	NOUN
ejpam-5363	135	5	adel	adel	PROPN
ejpam-5363	135	6	,	,	PUNCT
ejpam-5363	135	7	m.	m.	NOUN
ejpam-5363	135	8	m.	m.	NOUN
ejpam-5363	135	9	khader	khader	PROPN
ejpam-5363	135	10	,	,	PUNCT
ejpam-5363	135	11	t.	t.	PROPN
ejpam-5363	135	12	a.	a.	NOUN
ejpam-5363	135	13	assiri	assiri	PROPN
ejpam-5363	135	14	/	/	SYM
ejpam-5363	135	15	eur	eur	PROPN
ejpam-5363	135	16	.	.	PUNCT
ejpam-5363	136	1	j.	j.	PROPN
ejpam-5363	136	2	pure	pure	PROPN
ejpam-5363	136	3	appl	appl	PROPN
ejpam-5363	136	4	.	.	PROPN
ejpam-5363	136	5	math	math	PROPN
ejpam-5363	136	6	,	,	PUNCT
ejpam-5363	136	7	17	17	NUM
ejpam-5363	136	8	(	(	PUNCT
ejpam-5363	136	9	4	4	NUM
ejpam-5363	136	10	)	)	PUNCT
ejpam-5363	136	11	(	(	PUNCT
ejpam-5363	136	12	2024	2024	NUM
ejpam-5363	136	13	)	)	PUNCT
ejpam-5363	136	14	,	,	PUNCT
ejpam-5363	136	15	2812	2812	NUM
ejpam-5363	136	16	-	-	SYM
ejpam-5363	136	17	2827	2827	NUM
ejpam-5363	136	18	2819	2819	NUM
ejpam-5363	136	19	thus	thus	ADV
ejpam-5363	136	20	,	,	PUNCT
ejpam-5363	136	21	the	the	DET
ejpam-5363	136	22	first	first	ADJ
ejpam-5363	136	23	term	term	NOUN
ejpam-5363	136	24	becomes	become	VERB
ejpam-5363	136	25	as	as	ADP
ejpam-5363	136	26	:	:	PUNCT
ejpam-5363	136	27	ϑ0	ϑ0	PROPN
ejpam-5363	136	28	(	(	PUNCT
ejpam-5363	136	29	x	x	NOUN
ejpam-5363	136	30	,	,	PUNCT
ejpam-5363	136	31	t	t	PROPN
ejpam-5363	136	32	)	)	PUNCT
ejpam-5363	136	33	=	=	SYM
ejpam-5363	136	34	ϑ(x	ϑ(x	PROPN
ejpam-5363	136	35	,	,	PUNCT
ejpam-5363	136	36	0	0	NUM
ejpam-5363	136	37	)	)	PUNCT
ejpam-5363	137	1	+	+	X
ejpam-5363	137	2	m−1	m−1	PROPN
ejpam-5363	137	3	{	{	PUNCT
ejpam-5363	137	4	1	1	NUM
ejpam-5363	137	5	s	s	NOUN
ejpam-5363	137	6	m	m	VERB
ejpam-5363	137	7	{	{	PUNCT
ejpam-5363	137	8	δ(x	δ(x	PROPN
ejpam-5363	137	9	,	,	PUNCT
ejpam-5363	137	10	t	t	PROPN
ejpam-5363	137	11	)	)	PUNCT
ejpam-5363	137	12	}	}	PUNCT
ejpam-5363	137	13	}	}	PUNCT
ejpam-5363	137	14	,	,	PUNCT
ejpam-5363	137	15	then	then	ADV
ejpam-5363	137	16	,	,	PUNCT
ejpam-5363	137	17	the	the	DET
ejpam-5363	137	18	final	final	ADJ
ejpam-5363	137	19	iterative	iterative	NOUN
ejpam-5363	137	20	scheme	scheme	NOUN
ejpam-5363	137	21	for	for	ADP
ejpam-5363	137	22	other	other	ADJ
ejpam-5363	137	23	terms	term	NOUN
ejpam-5363	137	24	becomes	become	VERB
ejpam-5363	137	25	as	as	ADP
ejpam-5363	137	26	:	:	PUNCT
ejpam-5363	137	27	ϑm+1	ϑm+1	X
ejpam-5363	137	28	(	(	PUNCT
ejpam-5363	137	29	x	x	NOUN
ejpam-5363	137	30	,	,	PUNCT
ejpam-5363	137	31	t	t	PROPN
ejpam-5363	137	32	)	)	PUNCT
ejpam-5363	137	33	=	=	SYM
ejpam-5363	138	1	m−1	m−1	PROPN
ejpam-5363	138	2	{	{	PUNCT
ejpam-5363	138	3	1	1	NUM
ejpam-5363	138	4	sm	sm	PROPN
ejpam-5363	138	5	{	{	PUNCT
ejpam-5363	138	6	−(ϑm)x	−(ϑm)x	PROPN
ejpam-5363	138	7	(	(	PUNCT
ejpam-5363	138	8	x	x	NOUN
ejpam-5363	138	9	,	,	PUNCT
ejpam-5363	138	10	t)−	t)−	PROPN
ejpam-5363	138	11	ϑm	ϑm	ADV
ejpam-5363	138	12	(	(	PUNCT
ejpam-5363	138	13	x	x	NOUN
ejpam-5363	138	14	,	,	PUNCT
ejpam-5363	138	15	t	t	PROPN
ejpam-5363	138	16	)	)	PUNCT
ejpam-5363	139	1	+	+	NOUN
ejpam-5363	139	2	am	be	AUX
ejpam-5363	139	3	}	}	PUNCT
ejpam-5363	139	4	}	}	PUNCT
ejpam-5363	139	5	,	,	PUNCT
ejpam-5363	139	6	m	m	VERB
ejpam-5363	139	7	≥	≥	NOUN
ejpam-5363	139	8	0	0	NUM
ejpam-5363	139	9	,	,	PUNCT
ejpam-5363	139	10	(	(	PUNCT
ejpam-5363	139	11	18	18	NUM
ejpam-5363	139	12	)	)	PUNCT
ejpam-5363	139	13	with	with	ADP
ejpam-5363	139	14	using	use	VERB
ejpam-5363	139	15	the	the	DET
ejpam-5363	139	16	initial	initial	ADJ
ejpam-5363	139	17	condition	condition	NOUN
ejpam-5363	139	18	and	and	CCONJ
ejpam-5363	139	19	the	the	DET
ejpam-5363	139	20	nonlinear	nonlinear	ADJ
ejpam-5363	139	21	term	term	NOUN
ejpam-5363	139	22	n	n	CCONJ
ejpam-5363	139	23	(	(	PUNCT
ejpam-5363	139	24	ϑm(x	ϑm(x	X
ejpam-5363	139	25	,	,	PUNCT
ejpam-5363	139	26	t	t	PROPN
ejpam-5363	139	27	)	)	PUNCT
ejpam-5363	139	28	which	which	PRON
ejpam-5363	139	29	is	be	AUX
ejpam-5363	139	30	decomposed	decompose	VERB
ejpam-5363	139	31	by	by	ADP
ejpam-5363	139	32	using	use	VERB
ejpam-5363	139	33	the	the	DET
ejpam-5363	139	34	formula	formula	NOUN
ejpam-5363	139	35	(	(	PUNCT
ejpam-5363	139	36	8)	8)	NUM
ejpam-5363	139	37	,	,	PUNCT
ejpam-5363	139	38	the	the	DET
ejpam-5363	139	39	approximated	approximated	ADJ
ejpam-5363	139	40	term	term	NOUN
ejpam-5363	139	41	ϑ0	ϑ0	PROPN
ejpam-5363	139	42	(	(	PUNCT
ejpam-5363	139	43	x	x	NOUN
ejpam-5363	139	44	,	,	PUNCT
ejpam-5363	139	45	t	t	PROPN
ejpam-5363	139	46	)	)	PUNCT
ejpam-5363	139	47	=	=	SYM
ejpam-5363	139	48	t	t	PROPN
ejpam-5363	139	49	e−x	e−x	PROPN
ejpam-5363	139	50	+	+	CCONJ
ejpam-5363	139	51	1	1	NUM
ejpam-5363	139	52	3	3	NUM
ejpam-5363	139	53	t	t	NOUN
ejpam-5363	139	54	3	3	NUM
ejpam-5363	139	55	e−2x	e−2x	NOUN
ejpam-5363	139	56	,	,	PUNCT
ejpam-5363	139	57	and	and	CCONJ
ejpam-5363	139	58	the	the	DET
ejpam-5363	139	59	others	other	NOUN
ejpam-5363	139	60	can	can	AUX
ejpam-5363	139	61	be	be	AUX
ejpam-5363	139	62	obtained	obtain	VERB
ejpam-5363	139	63	.	.	PUNCT
ejpam-5363	140	1	thus	thus	ADV
ejpam-5363	140	2	,	,	PUNCT
ejpam-5363	140	3	the	the	DET
ejpam-5363	140	4	solution	solution	NOUN
ejpam-5363	140	5	is	be	AUX
ejpam-5363	140	6	obtained	obtain	VERB
ejpam-5363	140	7	by	by	ADP
ejpam-5363	140	8	summation	summation	NOUN
ejpam-5363	140	9	of	of	ADP
ejpam-5363	140	10	approximated	approximate	VERB
ejpam-5363	140	11	terms	term	NOUN
ejpam-5363	140	12	:	:	PUNCT
ejpam-5363	140	13	ϑ(x	ϑ(x	NOUN
ejpam-5363	140	14	,	,	PUNCT
ejpam-5363	140	15	t	t	PROPN
ejpam-5363	140	16	)	)	PUNCT
ejpam-5363	140	17	=	=	SYM
ejpam-5363	140	18	ϑ0(x	ϑ0(x	PROPN
ejpam-5363	140	19	,	,	PUNCT
ejpam-5363	140	20	t	t	PROPN
ejpam-5363	140	21	)	)	PUNCT
ejpam-5363	140	22	+	+	CCONJ
ejpam-5363	140	23	ϑ1(x	ϑ1(x	PROPN
ejpam-5363	140	24	,	,	PUNCT
ejpam-5363	140	25	t	t	PROPN
ejpam-5363	140	26	)	)	PUNCT
ejpam-5363	140	27	+	+	SYM
ejpam-5363	141	1	ϑ2(x	ϑ2(x	PROPN
ejpam-5363	141	2	,	,	PUNCT
ejpam-5363	141	3	t	t	PROPN
ejpam-5363	141	4	)	)	PUNCT
ejpam-5363	141	5	+	+	CCONJ
ejpam-5363	141	6	ϑ3(x	ϑ3(x	PROPN
ejpam-5363	141	7	,	,	PUNCT
ejpam-5363	141	8	t	t	PROPN
ejpam-5363	141	9	)	)	PUNCT
ejpam-5363	141	10	+	+	X
ejpam-5363	141	11	·	·	PUNCT
ejpam-5363	141	12	·	·	PUNCT
ejpam-5363	141	13	·	·	PUNCT
ejpam-5363	142	1	=	=	SYM
ejpam-5363	142	2	t	t	PROPN
ejpam-5363	142	3	e−x	e−x	PROPN
ejpam-5363	142	4	+	+	CCONJ
ejpam-5363	142	5	1	1	NUM
ejpam-5363	142	6	3	3	NUM
ejpam-5363	142	7	t3	t3	NOUN
ejpam-5363	142	8	e−2x	e−2x	NOUN
ejpam-5363	142	9	+	+	X
ejpam-5363	142	10	·	·	PUNCT
ejpam-5363	142	11	·	·	PUNCT
ejpam-5363	142	12	·	·	PUNCT
ejpam-5363	142	13	.	.	PUNCT
ejpam-5363	143	1	this	this	DET
ejpam-5363	143	2	series	series	NOUN
ejpam-5363	143	3	form	form	NOUN
ejpam-5363	143	4	solution	solution	NOUN
ejpam-5363	143	5	converges	converge	VERB
ejpam-5363	143	6	to	to	ADP
ejpam-5363	143	7	the	the	DET
ejpam-5363	143	8	exact	exact	ADJ
ejpam-5363	143	9	solution	solution	NOUN
ejpam-5363	143	10	ϑ(x	ϑ(x	PROPN
ejpam-5363	143	11	,	,	PUNCT
ejpam-5363	143	12	t	t	PROPN
ejpam-5363	143	13	)	)	PUNCT
ejpam-5363	143	14	=	=	SYM
ejpam-5363	143	15	t	t	PROPN
ejpam-5363	143	16	e−x	e−x	NOUN
ejpam-5363	143	17	of	of	ADP
ejpam-5363	143	18	the	the	DET
ejpam-5363	143	19	given	give	VERB
ejpam-5363	143	20	problem	problem	NOUN
ejpam-5363	143	21	(	(	PUNCT
ejpam-5363	143	22	14	14	NUM
ejpam-5363	143	23	)	)	PUNCT
ejpam-5363	143	24	as	as	ADP
ejpam-5363	143	25	m	m	PROPN
ejpam-5363	143	26	approaches	approach	NOUN
ejpam-5363	143	27	to	to	ADP
ejpam-5363	143	28	infinity	infinity	NOUN
ejpam-5363	143	29	.	.	PUNCT
ejpam-5363	144	1	6.2	6.2	NUM
ejpam-5363	144	2	.	.	PUNCT
ejpam-5363	144	3	implementation	implementation	NOUN
ejpam-5363	144	4	of	of	ADP
ejpam-5363	144	5	the	the	DET
ejpam-5363	144	6	ahpmtm	ahpmtm	PROPN
ejpam-5363	144	7	on	on	ADP
ejpam-5363	144	8	problem	problem	NOUN
ejpam-5363	144	9	1	1	NUM
ejpam-5363	144	10	consider	consider	VERB
ejpam-5363	144	11	the	the	DET
ejpam-5363	144	12	same	same	ADJ
ejpam-5363	144	13	nonlinear	nonlinear	ADJ
ejpam-5363	144	14	burger	burger	NOUN
ejpam-5363	144	15	’s	’s	PART
ejpam-5363	144	16	equation	equation	NOUN
ejpam-5363	144	17	defined	define	VERB
ejpam-5363	144	18	by	by	ADP
ejpam-5363	144	19	equation	equation	NOUN
ejpam-5363	144	20	(	(	PUNCT
ejpam-5363	144	21	14	14	NUM
ejpam-5363	144	22	)	)	PUNCT
ejpam-5363	144	23	,	,	PUNCT
ejpam-5363	144	24	with	with	ADP
ejpam-5363	144	25	the	the	DET
ejpam-5363	144	26	same	same	ADJ
ejpam-5363	144	27	initial	initial	ADJ
ejpam-5363	144	28	condition	condition	NOUN
ejpam-5363	144	29	.	.	PUNCT
ejpam-5363	145	1	now	now	ADV
ejpam-5363	145	2	,	,	PUNCT
ejpam-5363	145	3	from	from	ADP
ejpam-5363	145	4	equation	equation	NOUN
ejpam-5363	145	5	(	(	PUNCT
ejpam-5363	145	6	17	17	NUM
ejpam-5363	145	7	)	)	PUNCT
ejpam-5363	145	8	and	and	CCONJ
ejpam-5363	145	9	applying	apply	VERB
ejpam-5363	145	10	the	the	DET
ejpam-5363	145	11	procedure	procedure	NOUN
ejpam-5363	145	12	of	of	ADP
ejpam-5363	145	13	ahpmtm	ahpmtm	PROPN
ejpam-5363	145	14	,	,	PUNCT
ejpam-5363	145	15	we	we	PRON
ejpam-5363	145	16	get	get	VERB
ejpam-5363	145	17	:	:	PUNCT
ejpam-5363	145	18	∞∑	∞∑	PRON
ejpam-5363	145	19	n=0	n=0	NUM
ejpam-5363	145	20	ϑn	ϑn	NOUN
ejpam-5363	145	21	(	(	PUNCT
ejpam-5363	145	22	x	x	NOUN
ejpam-5363	145	23	,	,	PUNCT
ejpam-5363	145	24	t	t	PROPN
ejpam-5363	145	25	)	)	PUNCT
ejpam-5363	145	26	ρ	ρ	PROPN
ejpam-5363	145	27	n	n	NOUN
ejpam-5363	145	28	=	=	SYM
ejpam-5363	145	29	m−1	m−1	PROPN
ejpam-5363	145	30	{	{	PUNCT
ejpam-5363	145	31	1	1	NUM
ejpam-5363	145	32	s	s	NOUN
ejpam-5363	145	33	m	m	VERB
ejpam-5363	145	34	(	(	PUNCT
ejpam-5363	145	35	δ(x	δ(x	PROPN
ejpam-5363	145	36	,	,	PUNCT
ejpam-5363	145	37	t	t	PROPN
ejpam-5363	145	38	)	)	PUNCT
ejpam-5363	145	39	)	)	PUNCT
ejpam-5363	145	40	}	}	PUNCT
ejpam-5363	146	1	+	+	X
ejpam-5363	146	2	ρm−1	ρm−1	NOUN
ejpam-5363	146	3	{	{	PUNCT
ejpam-5363	146	4	1	1	NUM
ejpam-5363	146	5	s	s	NOUN
ejpam-5363	146	6	m	m	VERB
ejpam-5363	146	7	(	(	PUNCT
ejpam-5363	146	8	−	−	PROPN
ejpam-5363	146	9	∞∑	∞∑	NUM
ejpam-5363	146	10	n=0	n=0	NUM
ejpam-5363	146	11	(	(	PUNCT
ejpam-5363	146	12	(	(	PUNCT
ejpam-5363	146	13	ϑn)x	ϑn)x	NOUN
ejpam-5363	146	14	+	+	NUM
ejpam-5363	146	15	ϑn	ϑn	NOUN
ejpam-5363	146	16	)	)	PUNCT
ejpam-5363	146	17	ρ	ρ	PROPN
ejpam-5363	146	18	n	n	NOUN
ejpam-5363	146	19	+	+	CCONJ
ejpam-5363	146	20	∞∑	∞∑	PROPN
ejpam-5363	146	21	n=0	n=0	NUM
ejpam-5363	146	22	hn	hn	PROPN
ejpam-5363	146	23	ρ	ρ	PROPN
ejpam-5363	146	24	n	n	PROPN
ejpam-5363	146	25	)	)	PUNCT
ejpam-5363	146	26	}	}	PUNCT
ejpam-5363	146	27	,	,	PUNCT
ejpam-5363	146	28	by	by	ADP
ejpam-5363	146	29	using	use	VERB
ejpam-5363	146	30	he	he	PRON
ejpam-5363	146	31	’s	’s	PART
ejpam-5363	146	32	polynomials	polynomial	NOUN
ejpam-5363	146	33	and	and	CCONJ
ejpam-5363	146	34	comparing	compare	VERB
ejpam-5363	146	35	different	different	ADJ
ejpam-5363	146	36	powers	power	NOUN
ejpam-5363	146	37	of	of	ADP
ejpam-5363	146	38	ρ	ρ	PROPN
ejpam-5363	146	39	,	,	PUNCT
ejpam-5363	146	40	we	we	PRON
ejpam-5363	146	41	get	get	VERB
ejpam-5363	146	42	the	the	DET
ejpam-5363	146	43	approximated	approximated	ADJ
ejpam-5363	146	44	terms	term	NOUN
ejpam-5363	146	45	:	:	PUNCT
ejpam-5363	146	46	ρ0	ρ0	X
ejpam-5363	146	47	:	:	PUNCT
ejpam-5363	146	48	ϑ0	ϑ0	PROPN
ejpam-5363	146	49	(	(	PUNCT
ejpam-5363	146	50	x	x	NOUN
ejpam-5363	146	51	,	,	PUNCT
ejpam-5363	146	52	t	t	PROPN
ejpam-5363	146	53	)	)	PUNCT
ejpam-5363	146	54	=	=	SYM
ejpam-5363	147	1	m−1	m−1	PROPN
ejpam-5363	147	2	{	{	PUNCT
ejpam-5363	147	3	1	1	NUM
ejpam-5363	147	4	s	s	NOUN
ejpam-5363	147	5	m	m	VERB
ejpam-5363	147	6	(	(	PUNCT
ejpam-5363	147	7	δ(x	δ(x	PROPN
ejpam-5363	147	8	,	,	PUNCT
ejpam-5363	147	9	t	t	PROPN
ejpam-5363	147	10	)	)	PUNCT
ejpam-5363	147	11	)	)	PUNCT
ejpam-5363	147	12	}	}	PUNCT
ejpam-5363	148	1	=	=	SYM
ejpam-5363	148	2	t	t	NUM
ejpam-5363	148	3	e−x	e−x	PROPN
ejpam-5363	148	4	+	+	CCONJ
ejpam-5363	148	5	1	1	NUM
ejpam-5363	148	6	3	3	NUM
ejpam-5363	148	7	t3	t3	NOUN
ejpam-5363	148	8	e−2x	e−2x	NOUN
ejpam-5363	148	9	,	,	PUNCT
ejpam-5363	148	10	ρ1	ρ1	NOUN
ejpam-5363	148	11	:	:	PUNCT
ejpam-5363	148	12	ϑ1	ϑ1	NOUN
ejpam-5363	148	13	(	(	PUNCT
ejpam-5363	148	14	x	x	PROPN
ejpam-5363	148	15	,	,	PUNCT
ejpam-5363	148	16	t	t	PROPN
ejpam-5363	148	17	)	)	PUNCT
ejpam-5363	148	18	=	=	SYM
ejpam-5363	149	1	m−1	m−1	PROPN
ejpam-5363	149	2	{	{	PUNCT
ejpam-5363	149	3	1	1	NUM
ejpam-5363	149	4	s	s	NOUN
ejpam-5363	149	5	m	m	VERB
ejpam-5363	149	6	(	(	PUNCT
ejpam-5363	149	7	−(ϑ0)x	−(ϑ0)x	NOUN
ejpam-5363	149	8	−	−	PRON
ejpam-5363	149	9	ϑ0	ϑ0	PROPN
ejpam-5363	149	10	+	+	NOUN
ejpam-5363	149	11	h0	h0	NOUN
ejpam-5363	149	12	)	)	PUNCT
ejpam-5363	149	13	}	}	PUNCT
ejpam-5363	149	14	,	,	PUNCT
ejpam-5363	149	15	ρ2	ρ2	NOUN
ejpam-5363	149	16	:	:	PUNCT
ejpam-5363	149	17	ϑ2	ϑ2	PROPN
ejpam-5363	149	18	(	(	PUNCT
ejpam-5363	149	19	x	x	X
ejpam-5363	149	20	,	,	PUNCT
ejpam-5363	149	21	t	t	PROPN
ejpam-5363	149	22	)	)	PUNCT
ejpam-5363	149	23	=	=	SYM
ejpam-5363	150	1	m−1	m−1	PROPN
ejpam-5363	150	2	{	{	PUNCT
ejpam-5363	150	3	1	1	NUM
ejpam-5363	150	4	s	s	NOUN
ejpam-5363	150	5	m	m	VERB
ejpam-5363	150	6	(	(	PUNCT
ejpam-5363	150	7	−(ϑ1)x	−(ϑ1)x	NOUN
ejpam-5363	150	8	−	−	NOUN
ejpam-5363	150	9	ϑ1	ϑ1	PROPN
ejpam-5363	150	10	+	+	NOUN
ejpam-5363	150	11	h1	h1	NOUN
ejpam-5363	150	12	)	)	PUNCT
ejpam-5363	150	13	}	}	PUNCT
ejpam-5363	150	14	,	,	PUNCT
ejpam-5363	150	15	...	...	PUNCT
ejpam-5363	150	16	the	the	DET
ejpam-5363	150	17	ahpmtm	ahpmtm	ADJ
ejpam-5363	150	18	solution	solution	NOUN
ejpam-5363	150	19	in	in	ADP
ejpam-5363	150	20	series	series	NOUN
ejpam-5363	150	21	form	form	NOUN
ejpam-5363	150	22	(	(	PUNCT
ejpam-5363	150	23	at	at	ADP
ejpam-5363	150	24	ρ	ρ	PROPN
ejpam-5363	150	25	=	=	SYM
ejpam-5363	150	26	1	1	NUM
ejpam-5363	150	27	)	)	PUNCT
ejpam-5363	150	28	becomes	become	VERB
ejpam-5363	150	29	as	as	ADP
ejpam-5363	150	30	:	:	PUNCT
ejpam-5363	150	31	ϑ	ϑ	X
ejpam-5363	150	32	(	(	PUNCT
ejpam-5363	150	33	x	x	NOUN
ejpam-5363	150	34	,	,	PUNCT
ejpam-5363	150	35	t	t	PROPN
ejpam-5363	150	36	)	)	PUNCT
ejpam-5363	150	37	=	=	PUNCT
ejpam-5363	151	1	∞∑	∞∑	PRON
ejpam-5363	151	2	n=0	n=0	NUM
ejpam-5363	151	3	ϑn	ϑn	NOUN
ejpam-5363	151	4	(	(	PUNCT
ejpam-5363	151	5	x	x	NOUN
ejpam-5363	151	6	,	,	PUNCT
ejpam-5363	151	7	t	t	PROPN
ejpam-5363	151	8	)	)	PUNCT
ejpam-5363	151	9	,	,	PUNCT
ejpam-5363	151	10	(	(	PUNCT
ejpam-5363	151	11	19	19	X
ejpam-5363	151	12	)	)	PUNCT
ejpam-5363	151	13	inserting	insert	VERB
ejpam-5363	151	14	the	the	DET
ejpam-5363	151	15	related	related	ADJ
ejpam-5363	151	16	iterations	iteration	NOUN
ejpam-5363	151	17	,	,	PUNCT
ejpam-5363	151	18	we	we	PRON
ejpam-5363	151	19	get	get	VERB
ejpam-5363	151	20	ϑ	ϑ	X
ejpam-5363	151	21	(	(	PUNCT
ejpam-5363	151	22	x	x	NOUN
ejpam-5363	151	23	,	,	PUNCT
ejpam-5363	151	24	t	t	PROPN
ejpam-5363	151	25	)	)	PUNCT
ejpam-5363	151	26	=	=	PROPN
ejpam-5363	152	1	t	t	PROPN
ejpam-5363	152	2	e−x	e−x	NOUN
ejpam-5363	152	3	,	,	PUNCT
ejpam-5363	152	4	which	which	PRON
ejpam-5363	152	5	is	be	AUX
ejpam-5363	152	6	the	the	DET
ejpam-5363	152	7	exact	exact	ADJ
ejpam-5363	152	8	solution	solution	NOUN
ejpam-5363	152	9	for	for	ADP
ejpam-5363	152	10	equation	equation	NOUN
ejpam-5363	152	11	(	(	PUNCT
ejpam-5363	152	12	14	14	NUM
ejpam-5363	152	13	)	)	PUNCT
ejpam-5363	152	14	.	.	PUNCT
ejpam-5363	153	1	m.	m.	PROPN
ejpam-5363	153	2	adel	adel	PROPN
ejpam-5363	153	3	,	,	PUNCT
ejpam-5363	153	4	m.	m.	NOUN
ejpam-5363	153	5	m.	m.	NOUN
ejpam-5363	153	6	khader	khader	PROPN
ejpam-5363	153	7	,	,	PUNCT
ejpam-5363	153	8	t.	t.	PROPN
ejpam-5363	153	9	a.	a.	NOUN
ejpam-5363	153	10	assiri	assiri	PROPN
ejpam-5363	153	11	/	/	SYM
ejpam-5363	153	12	eur	eur	PROPN
ejpam-5363	153	13	.	.	PUNCT
ejpam-5363	154	1	j.	j.	PROPN
ejpam-5363	154	2	pure	pure	PROPN
ejpam-5363	154	3	appl	appl	PROPN
ejpam-5363	154	4	.	.	PROPN
ejpam-5363	154	5	math	math	PROPN
ejpam-5363	154	6	,	,	PUNCT
ejpam-5363	154	7	17	17	NUM
ejpam-5363	154	8	(	(	PUNCT
ejpam-5363	154	9	4	4	NUM
ejpam-5363	154	10	)	)	PUNCT
ejpam-5363	154	11	(	(	PUNCT
ejpam-5363	154	12	2024	2024	NUM
ejpam-5363	154	13	)	)	PUNCT
ejpam-5363	154	14	,	,	PUNCT
ejpam-5363	154	15	2812	2812	NUM
ejpam-5363	154	16	-	-	SYM
ejpam-5363	154	17	2827	2827	NUM
ejpam-5363	154	18	2820	2820	NUM
ejpam-5363	154	19	6.3	6.3	NUM
ejpam-5363	154	20	.	.	PUNCT
ejpam-5363	155	1	implementation	implementation	NOUN
ejpam-5363	155	2	of	of	ADP
ejpam-5363	155	3	the	the	DET
ejpam-5363	155	4	madm	madm	NOUN
ejpam-5363	155	5	on	on	ADP
ejpam-5363	155	6	problem	problem	NOUN
ejpam-5363	155	7	2	2	NUM
ejpam-5363	155	8	consider	consider	VERB
ejpam-5363	155	9	the	the	DET
ejpam-5363	155	10	nonlinear	nonlinear	ADJ
ejpam-5363	155	11	burger	burger	NOUN
ejpam-5363	155	12	’s	’s	PART
ejpam-5363	155	13	equation	equation	NOUN
ejpam-5363	155	14	defined	define	VERB
ejpam-5363	155	15	as	as	ADP
ejpam-5363	155	16	:	:	PUNCT
ejpam-5363	155	17	ϑt	ϑt	NUM
ejpam-5363	155	18	(	(	PUNCT
ejpam-5363	155	19	x	x	NOUN
ejpam-5363	155	20	,	,	PUNCT
ejpam-5363	155	21	t	t	PROPN
ejpam-5363	155	22	)	)	PUNCT
ejpam-5363	155	23	=	=	SYM
ejpam-5363	155	24	ϑx	ϑx	INTJ
ejpam-5363	155	25	(	(	PUNCT
ejpam-5363	155	26	x	x	NOUN
ejpam-5363	155	27	,	,	PUNCT
ejpam-5363	155	28	t)ϑ	t)ϑ	PUNCT
ejpam-5363	155	29	(	(	PUNCT
ejpam-5363	155	30	x	x	X
ejpam-5363	155	31	,	,	PUNCT
ejpam-5363	155	32	t	t	PROPN
ejpam-5363	155	33	)	)	PUNCT
ejpam-5363	156	1	+	+	CCONJ
ejpam-5363	156	2	ϑxx	ϑxx	NOUN
ejpam-5363	156	3	(	(	PUNCT
ejpam-5363	156	4	x	x	NOUN
ejpam-5363	156	5	,	,	PUNCT
ejpam-5363	156	6	t	t	PROPN
ejpam-5363	156	7	)	)	PUNCT
ejpam-5363	156	8	+	+	CCONJ
ejpam-5363	156	9	1	1	NUM
ejpam-5363	156	10	2	2	NUM
ejpam-5363	156	11	ϑ	ϑ	X
ejpam-5363	156	12	(	(	PUNCT
ejpam-5363	156	13	x	x	NOUN
ejpam-5363	156	14	,	,	PUNCT
ejpam-5363	156	15	t	t	PROPN
ejpam-5363	156	16	)	)	PUNCT
ejpam-5363	156	17	+	+	NUM
ejpam-5363	156	18	δ	δ	PROPN
ejpam-5363	156	19	(	(	PUNCT
ejpam-5363	156	20	x	x	PROPN
ejpam-5363	156	21	,	,	PUNCT
ejpam-5363	156	22	t	t	PROPN
ejpam-5363	156	23	)	)	PUNCT
ejpam-5363	156	24	,	,	PUNCT
ejpam-5363	156	25	t	t	X
ejpam-5363	156	26	>	>	X
ejpam-5363	156	27	0	0	PROPN
ejpam-5363	156	28	,	,	PUNCT
ejpam-5363	156	29	x	x	X
ejpam-5363	156	30	∈	∈	PROPN
ejpam-5363	156	31	r	r	NOUN
ejpam-5363	156	32	,	,	PUNCT
ejpam-5363	156	33	(	(	PUNCT
ejpam-5363	156	34	20	20	NUM
ejpam-5363	156	35	)	)	PUNCT
ejpam-5363	156	36	with	with	ADP
ejpam-5363	156	37	the	the	DET
ejpam-5363	156	38	initial	initial	ADJ
ejpam-5363	156	39	condition	condition	NOUN
ejpam-5363	156	40	ϑ(x	ϑ(x	PROPN
ejpam-5363	156	41	,	,	PUNCT
ejpam-5363	156	42	0	0	NUM
ejpam-5363	156	43	)	)	PUNCT
ejpam-5363	156	44	=	=	SYM
ejpam-5363	156	45	0	0	NUM
ejpam-5363	156	46	,	,	PUNCT
ejpam-5363	156	47	where	where	SCONJ
ejpam-5363	156	48	,	,	PUNCT
ejpam-5363	156	49	£	£	NOUN
ejpam-5363	156	50	=	=	SYM
ejpam-5363	156	51	ϑxx	ϑxx	NOUN
ejpam-5363	156	52	(	(	PUNCT
ejpam-5363	156	53	x	x	NOUN
ejpam-5363	156	54	,	,	PUNCT
ejpam-5363	156	55	t	t	PROPN
ejpam-5363	156	56	)	)	PUNCT
ejpam-5363	156	57	+	+	CCONJ
ejpam-5363	156	58	1	1	NUM
ejpam-5363	156	59	2	2	NUM
ejpam-5363	156	60	ϑ	ϑ	X
ejpam-5363	156	61	(	(	PUNCT
ejpam-5363	156	62	x	x	NOUN
ejpam-5363	156	63	,	,	PUNCT
ejpam-5363	156	64	t	t	PROPN
ejpam-5363	156	65	)	)	PUNCT
ejpam-5363	156	66	,	,	PUNCT
ejpam-5363	156	67	n(ϑ(x	n(ϑ(x	PROPN
ejpam-5363	156	68	,	,	PUNCT
ejpam-5363	156	69	t	t	PROPN
ejpam-5363	156	70	)	)	PUNCT
ejpam-5363	156	71	)	)	PUNCT
ejpam-5363	157	1	=	=	PUNCT
ejpam-5363	157	2	ϑx	ϑx	INTJ
ejpam-5363	157	3	(	(	PUNCT
ejpam-5363	157	4	x	x	NOUN
ejpam-5363	157	5	,	,	PUNCT
ejpam-5363	157	6	t)ϑ	t)ϑ	PUNCT
ejpam-5363	157	7	(	(	PUNCT
ejpam-5363	157	8	x	x	X
ejpam-5363	157	9	,	,	PUNCT
ejpam-5363	157	10	t	t	PROPN
ejpam-5363	157	11	)	)	PUNCT
ejpam-5363	157	12	,	,	PUNCT
ejpam-5363	157	13	are	be	AUX
ejpam-5363	157	14	the	the	DET
ejpam-5363	157	15	linear	linear	ADJ
ejpam-5363	157	16	and	and	CCONJ
ejpam-5363	157	17	nonlinear	nonlinear	ADJ
ejpam-5363	157	18	terms	term	NOUN
ejpam-5363	157	19	,	,	PUNCT
ejpam-5363	157	20	respectively	respectively	ADV
ejpam-5363	157	21	.	.	PUNCT
ejpam-5363	158	1	here	here	ADV
ejpam-5363	158	2	,	,	PUNCT
ejpam-5363	158	3	δ(x	δ(x	PROPN
ejpam-5363	158	4	,	,	PUNCT
ejpam-5363	158	5	t	t	PROPN
ejpam-5363	158	6	)	)	PUNCT
ejpam-5363	158	7	=	=	X
ejpam-5363	158	8	ex	ex	PRON
ejpam-5363	158	9	−	−	PROPN
ejpam-5363	158	10	t2	t2	NOUN
ejpam-5363	158	11	e2x	e2x	PROPN
ejpam-5363	158	12	−	−	PROPN
ejpam-5363	158	13	3	3	NUM
ejpam-5363	158	14	2	2	NUM
ejpam-5363	158	15	t	t	NOUN
ejpam-5363	158	16	e	e	NOUN
ejpam-5363	158	17	x.	x.	NOUN
ejpam-5363	158	18	using	use	VERB
ejpam-5363	158	19	the	the	DET
ejpam-5363	158	20	mohand	mohand	NOUN
ejpam-5363	158	21	transformation	transformation	NOUN
ejpam-5363	158	22	to	to	ADP
ejpam-5363	158	23	equation	equation	NOUN
ejpam-5363	158	24	(	(	PUNCT
ejpam-5363	158	25	20	20	NUM
ejpam-5363	158	26	)	)	PUNCT
ejpam-5363	158	27	as	as	ADP
ejpam-5363	158	28	:	:	PUNCT
ejpam-5363	158	29	m	m	VERB
ejpam-5363	158	30	{	{	PUNCT
ejpam-5363	158	31	ϑt	ϑt	PROPN
ejpam-5363	158	32	(	(	PUNCT
ejpam-5363	158	33	x	x	NOUN
ejpam-5363	158	34	,	,	PUNCT
ejpam-5363	158	35	t	t	PROPN
ejpam-5363	158	36	)	)	PUNCT
ejpam-5363	158	37	}	}	PUNCT
ejpam-5363	159	1	=	=	PUNCT
ejpam-5363	159	2	m	m	PRON
ejpam-5363	159	3	{	{	PUNCT
ejpam-5363	159	4	ϑxx	ϑxx	NOUN
ejpam-5363	159	5	(	(	PUNCT
ejpam-5363	159	6	x	x	NOUN
ejpam-5363	159	7	,	,	PUNCT
ejpam-5363	159	8	t	t	PROPN
ejpam-5363	159	9	)	)	PUNCT
ejpam-5363	159	10	+	+	CCONJ
ejpam-5363	159	11	1	1	NUM
ejpam-5363	159	12	2	2	NUM
ejpam-5363	159	13	ϑ	ϑ	X
ejpam-5363	159	14	(	(	PUNCT
ejpam-5363	159	15	x	x	NOUN
ejpam-5363	159	16	,	,	PUNCT
ejpam-5363	159	17	t	t	PROPN
ejpam-5363	159	18	)	)	PUNCT
ejpam-5363	159	19	+	+	NOUN
ejpam-5363	159	20	n	n	PROPN
ejpam-5363	159	21	(	(	PUNCT
ejpam-5363	159	22	ϑ(x	ϑ(x	PROPN
ejpam-5363	159	23	,	,	PUNCT
ejpam-5363	159	24	t	t	PROPN
ejpam-5363	159	25	)	)	PUNCT
ejpam-5363	159	26	)	)	PUNCT
ejpam-5363	160	1	+	+	CCONJ
ejpam-5363	160	2	δ	δ	PROPN
ejpam-5363	160	3	(	(	PUNCT
ejpam-5363	160	4	x	x	PROPN
ejpam-5363	160	5	,	,	PUNCT
ejpam-5363	160	6	t	t	PROPN
ejpam-5363	160	7	)	)	PUNCT
ejpam-5363	160	8	}	}	PUNCT
ejpam-5363	160	9	,	,	PUNCT
ejpam-5363	160	10	utilizing	utilize	VERB
ejpam-5363	160	11	the	the	DET
ejpam-5363	160	12	transform	transform	NOUN
ejpam-5363	160	13	property	property	NOUN
ejpam-5363	160	14	(	(	PUNCT
ejpam-5363	160	15	1	1	NUM
ejpam-5363	160	16	)	)	PUNCT
ejpam-5363	160	17	,	,	PUNCT
ejpam-5363	160	18	we	we	PRON
ejpam-5363	160	19	get	get	VERB
ejpam-5363	160	20	:	:	PUNCT
ejpam-5363	160	21	s	s	X
ejpam-5363	160	22	(	(	PUNCT
ejpam-5363	160	23	r(x	r(x	PROPN
ejpam-5363	160	24	,	,	PUNCT
ejpam-5363	160	25	s)−	s)−	PROPN
ejpam-5363	160	26	s	s	PART
ejpam-5363	160	27	ϑ(x	ϑ(x	PROPN
ejpam-5363	160	28	,	,	PUNCT
ejpam-5363	160	29	0	0	NUM
ejpam-5363	160	30	)	)	PUNCT
ejpam-5363	160	31	)	)	PUNCT
ejpam-5363	161	1	=	=	PUNCT
ejpam-5363	161	2	m	m	PRON
ejpam-5363	161	3	{	{	PUNCT
ejpam-5363	161	4	ϑxx	ϑxx	NOUN
ejpam-5363	161	5	(	(	PUNCT
ejpam-5363	161	6	x	x	NOUN
ejpam-5363	161	7	,	,	PUNCT
ejpam-5363	161	8	t	t	PROPN
ejpam-5363	161	9	)	)	PUNCT
ejpam-5363	161	10	+	+	CCONJ
ejpam-5363	161	11	1	1	NUM
ejpam-5363	161	12	2	2	NUM
ejpam-5363	161	13	ϑ	ϑ	X
ejpam-5363	161	14	(	(	PUNCT
ejpam-5363	161	15	x	x	NOUN
ejpam-5363	161	16	,	,	PUNCT
ejpam-5363	161	17	t	t	PROPN
ejpam-5363	161	18	)	)	PUNCT
ejpam-5363	161	19	+	+	NOUN
ejpam-5363	161	20	n	n	X
ejpam-5363	161	21	(	(	PUNCT
ejpam-5363	161	22	ϑ	ϑ	X
ejpam-5363	161	23	(	(	PUNCT
ejpam-5363	161	24	x	x	NOUN
ejpam-5363	161	25	,	,	PUNCT
ejpam-5363	161	26	t	t	PROPN
ejpam-5363	161	27	)	)	PUNCT
ejpam-5363	161	28	)	)	PUNCT
ejpam-5363	162	1	+	+	CCONJ
ejpam-5363	162	2	δ	δ	PROPN
ejpam-5363	162	3	(	(	PUNCT
ejpam-5363	162	4	x	x	PROPN
ejpam-5363	162	5	,	,	PUNCT
ejpam-5363	162	6	t	t	PROPN
ejpam-5363	162	7	)	)	PUNCT
ejpam-5363	162	8	}	}	PUNCT
ejpam-5363	162	9	,	,	PUNCT
ejpam-5363	162	10	(	(	PUNCT
ejpam-5363	162	11	21	21	NUM
ejpam-5363	162	12	)	)	PUNCT
ejpam-5363	162	13	after	after	ADP
ejpam-5363	162	14	the	the	DET
ejpam-5363	162	15	simplification	simplification	NOUN
ejpam-5363	162	16	of	of	ADP
ejpam-5363	162	17	the	the	DET
ejpam-5363	162	18	equation	equation	NOUN
ejpam-5363	162	19	(	(	PUNCT
ejpam-5363	162	20	21	21	NUM
ejpam-5363	162	21	)	)	PUNCT
ejpam-5363	162	22	,	,	PUNCT
ejpam-5363	162	23	the	the	DET
ejpam-5363	162	24	simplified	simplified	ADJ
ejpam-5363	162	25	form	form	NOUN
ejpam-5363	162	26	becomes	become	VERB
ejpam-5363	162	27	as	as	ADP
ejpam-5363	162	28	:	:	PUNCT
ejpam-5363	162	29	r(x	r(x	PROPN
ejpam-5363	162	30	,	,	PUNCT
ejpam-5363	162	31	s	s	PART
ejpam-5363	162	32	)	)	PUNCT
ejpam-5363	162	33	=	=	SYM
ejpam-5363	162	34	s	s	PROPN
ejpam-5363	162	35	ϑ(x	ϑ(x	PROPN
ejpam-5363	162	36	,	,	PUNCT
ejpam-5363	162	37	0	0	NUM
ejpam-5363	162	38	)	)	PUNCT
ejpam-5363	163	1	+	+	CCONJ
ejpam-5363	163	2	1	1	NUM
ejpam-5363	163	3	s	s	NOUN
ejpam-5363	163	4	m	m	PRON
ejpam-5363	163	5	{	{	PUNCT
ejpam-5363	163	6	ϑxx	ϑxx	NOUN
ejpam-5363	163	7	(	(	PUNCT
ejpam-5363	163	8	x	x	NOUN
ejpam-5363	163	9	,	,	PUNCT
ejpam-5363	163	10	t	t	PROPN
ejpam-5363	163	11	)	)	PUNCT
ejpam-5363	164	1	+	+	CCONJ
ejpam-5363	164	2	1	1	NUM
ejpam-5363	164	3	2	2	NUM
ejpam-5363	164	4	ϑ	ϑ	X
ejpam-5363	164	5	(	(	PUNCT
ejpam-5363	164	6	x	x	NOUN
ejpam-5363	164	7	,	,	PUNCT
ejpam-5363	164	8	t	t	PROPN
ejpam-5363	164	9	)	)	PUNCT
ejpam-5363	164	10	+	+	NOUN
ejpam-5363	164	11	n	n	X
ejpam-5363	164	12	(	(	PUNCT
ejpam-5363	164	13	ϑ	ϑ	X
ejpam-5363	164	14	(	(	PUNCT
ejpam-5363	164	15	x	x	NOUN
ejpam-5363	164	16	,	,	PUNCT
ejpam-5363	164	17	t	t	PROPN
ejpam-5363	164	18	)	)	PUNCT
ejpam-5363	164	19	)	)	PUNCT
ejpam-5363	165	1	+	+	CCONJ
ejpam-5363	165	2	δ	δ	PROPN
ejpam-5363	165	3	(	(	PUNCT
ejpam-5363	165	4	x	x	PROPN
ejpam-5363	165	5	,	,	PUNCT
ejpam-5363	165	6	t	t	PROPN
ejpam-5363	165	7	)	)	PUNCT
ejpam-5363	165	8	}	}	PUNCT
ejpam-5363	165	9	,	,	PUNCT
ejpam-5363	165	10	(	(	PUNCT
ejpam-5363	165	11	22	22	X
ejpam-5363	165	12	)	)	PUNCT
ejpam-5363	165	13	implementing	implement	VERB
ejpam-5363	165	14	the	the	DET
ejpam-5363	165	15	inverse	inverse	NOUN
ejpam-5363	165	16	of	of	ADP
ejpam-5363	165	17	the	the	DET
ejpam-5363	165	18	mohand	mohand	NOUN
ejpam-5363	165	19	transformation	transformation	NOUN
ejpam-5363	165	20	equation	equation	NOUN
ejpam-5363	165	21	(	(	PUNCT
ejpam-5363	165	22	22	22	NUM
ejpam-5363	165	23	)	)	PUNCT
ejpam-5363	165	24	,	,	PUNCT
ejpam-5363	165	25	the	the	DET
ejpam-5363	165	26	scheme	scheme	NOUN
ejpam-5363	165	27	becomes	become	VERB
ejpam-5363	165	28	as	as	ADP
ejpam-5363	165	29	:	:	PUNCT
ejpam-5363	165	30	ϑ	ϑ	X
ejpam-5363	165	31	(	(	PUNCT
ejpam-5363	165	32	x	x	NOUN
ejpam-5363	165	33	,	,	PUNCT
ejpam-5363	165	34	t	t	PROPN
ejpam-5363	165	35	)	)	PUNCT
ejpam-5363	165	36	=	=	SYM
ejpam-5363	166	1	m−1	m−1	PROPN
ejpam-5363	166	2	{	{	PUNCT
ejpam-5363	166	3	1	1	NUM
ejpam-5363	166	4	s	s	NOUN
ejpam-5363	166	5	m	m	VERB
ejpam-5363	166	6	{	{	PUNCT
ejpam-5363	166	7	δ	δ	PROPN
ejpam-5363	166	8	(	(	PUNCT
ejpam-5363	166	9	x	x	PROPN
ejpam-5363	166	10	,	,	PUNCT
ejpam-5363	166	11	t	t	PROPN
ejpam-5363	166	12	)	)	PUNCT
ejpam-5363	166	13	}	}	PUNCT
ejpam-5363	166	14	}	}	PUNCT
ejpam-5363	167	1	+	+	X
ejpam-5363	167	2	m−1	m−1	PROPN
ejpam-5363	167	3	{	{	PUNCT
ejpam-5363	167	4	1	1	NUM
ejpam-5363	167	5	s	s	NOUN
ejpam-5363	167	6	m	m	VERB
ejpam-5363	167	7	{	{	PUNCT
ejpam-5363	167	8	ϑxx	ϑxx	NOUN
ejpam-5363	167	9	(	(	PUNCT
ejpam-5363	167	10	x	x	NOUN
ejpam-5363	167	11	,	,	PUNCT
ejpam-5363	167	12	t	t	PROPN
ejpam-5363	167	13	)	)	PUNCT
ejpam-5363	167	14	+	+	CCONJ
ejpam-5363	167	15	1	1	NUM
ejpam-5363	167	16	2	2	NUM
ejpam-5363	167	17	ϑ	ϑ	X
ejpam-5363	167	18	(	(	PUNCT
ejpam-5363	167	19	x	x	NOUN
ejpam-5363	167	20	,	,	PUNCT
ejpam-5363	167	21	t	t	PROPN
ejpam-5363	167	22	)	)	PUNCT
ejpam-5363	167	23	+	+	NOUN
ejpam-5363	167	24	n	n	X
ejpam-5363	167	25	(	(	PUNCT
ejpam-5363	167	26	ϑ	ϑ	X
ejpam-5363	167	27	(	(	PUNCT
ejpam-5363	167	28	x	x	NOUN
ejpam-5363	167	29	,	,	PUNCT
ejpam-5363	167	30	t	t	PROPN
ejpam-5363	167	31	)	)	PUNCT
ejpam-5363	167	32	)	)	PUNCT
ejpam-5363	167	33	}	}	PUNCT
ejpam-5363	167	34	}	}	PUNCT
ejpam-5363	167	35	.	.	PUNCT
ejpam-5363	168	1	(	(	PUNCT
ejpam-5363	168	2	23	23	NUM
ejpam-5363	168	3	)	)	PUNCT
ejpam-5363	168	4	thus	thus	ADV
ejpam-5363	168	5	,	,	PUNCT
ejpam-5363	168	6	the	the	DET
ejpam-5363	168	7	first	first	ADJ
ejpam-5363	168	8	term	term	NOUN
ejpam-5363	168	9	takes	take	VERB
ejpam-5363	168	10	the	the	DET
ejpam-5363	168	11	form	form	NOUN
ejpam-5363	168	12	:	:	PUNCT
ejpam-5363	168	13	ϑ0	ϑ0	PROPN
ejpam-5363	168	14	(	(	PUNCT
ejpam-5363	168	15	x	x	NOUN
ejpam-5363	168	16	,	,	PUNCT
ejpam-5363	168	17	t	t	PROPN
ejpam-5363	168	18	)	)	PUNCT
ejpam-5363	168	19	=	=	SYM
ejpam-5363	169	1	m−1	m−1	PROPN
ejpam-5363	169	2	{	{	PUNCT
ejpam-5363	169	3	1	1	NUM
ejpam-5363	169	4	s	s	NOUN
ejpam-5363	169	5	m	m	VERB
ejpam-5363	169	6	{	{	PUNCT
ejpam-5363	169	7	δ	δ	PROPN
ejpam-5363	169	8	(	(	PUNCT
ejpam-5363	169	9	x	x	PROPN
ejpam-5363	169	10	,	,	PUNCT
ejpam-5363	169	11	t	t	PROPN
ejpam-5363	169	12	)	)	PUNCT
ejpam-5363	169	13	}	}	PUNCT
ejpam-5363	169	14	}	}	PUNCT
ejpam-5363	169	15	=	=	SYM
ejpam-5363	169	16	t	t	NOUN
ejpam-5363	169	17	ex	ex	X
ejpam-5363	169	18	−	−	PROPN
ejpam-5363	169	19	3	3	NUM
ejpam-5363	169	20	4	4	NUM
ejpam-5363	169	21	t2ex	t2ex	PUNCT
ejpam-5363	169	22	−	−	NUM
ejpam-5363	169	23	1	1	NUM
ejpam-5363	169	24	3	3	NUM
ejpam-5363	169	25	t3e2x	t3e2x	NUM
ejpam-5363	169	26	,	,	PUNCT
ejpam-5363	169	27	then	then	ADV
ejpam-5363	169	28	,	,	PUNCT
ejpam-5363	169	29	the	the	DET
ejpam-5363	169	30	final	final	ADJ
ejpam-5363	169	31	iterative	iterative	NOUN
ejpam-5363	169	32	scheme	scheme	NOUN
ejpam-5363	169	33	for	for	ADP
ejpam-5363	169	34	the	the	DET
ejpam-5363	169	35	other	other	ADJ
ejpam-5363	169	36	terms	term	NOUN
ejpam-5363	169	37	becomes	become	VERB
ejpam-5363	169	38	as	as	ADP
ejpam-5363	169	39	:	:	PUNCT
ejpam-5363	169	40	ϑm+1	ϑm+1	X
ejpam-5363	169	41	(	(	PUNCT
ejpam-5363	169	42	x	x	NOUN
ejpam-5363	169	43	,	,	PUNCT
ejpam-5363	169	44	t	t	PROPN
ejpam-5363	169	45	)	)	PUNCT
ejpam-5363	169	46	=	=	SYM
ejpam-5363	170	1	m−1	m−1	PROPN
ejpam-5363	170	2	{	{	PUNCT
ejpam-5363	170	3	1	1	NUM
ejpam-5363	170	4	s	s	NOUN
ejpam-5363	170	5	m	m	VERB
ejpam-5363	170	6	{	{	PUNCT
ejpam-5363	170	7	(	(	PUNCT
ejpam-5363	170	8	ϑm)xx	ϑm)xx	X
ejpam-5363	170	9	(	(	PUNCT
ejpam-5363	170	10	x	x	NOUN
ejpam-5363	170	11	,	,	PUNCT
ejpam-5363	170	12	t	t	PROPN
ejpam-5363	170	13	)	)	PUNCT
ejpam-5363	170	14	+	+	CCONJ
ejpam-5363	170	15	1	1	NUM
ejpam-5363	170	16	2	2	NUM
ejpam-5363	170	17	ϑm	ϑm	ADP
ejpam-5363	170	18	(	(	PUNCT
ejpam-5363	170	19	x	x	NOUN
ejpam-5363	170	20	,	,	PUNCT
ejpam-5363	170	21	t	t	PROPN
ejpam-5363	170	22	)	)	PUNCT
ejpam-5363	170	23	+	+	NOUN
ejpam-5363	170	24	am	be	AUX
ejpam-5363	170	25	}	}	PUNCT
ejpam-5363	170	26	}	}	PUNCT
ejpam-5363	170	27	,	,	PUNCT
ejpam-5363	170	28	m	m	VERB
ejpam-5363	170	29	=	=	SYM
ejpam-5363	170	30	0	0	NUM
ejpam-5363	170	31	,	,	PUNCT
ejpam-5363	170	32	1	1	NUM
ejpam-5363	170	33	,	,	PUNCT
ejpam-5363	170	34	2	2	NUM
ejpam-5363	170	35	...	...	PUNCT
ejpam-5363	170	36	,	,	PUNCT
ejpam-5363	170	37	(	(	PUNCT
ejpam-5363	170	38	24	24	NUM
ejpam-5363	170	39	)	)	PUNCT
ejpam-5363	170	40	with	with	ADP
ejpam-5363	170	41	using	use	VERB
ejpam-5363	170	42	the	the	DET
ejpam-5363	170	43	initial	initial	ADJ
ejpam-5363	170	44	condition	condition	NOUN
ejpam-5363	170	45	and	and	CCONJ
ejpam-5363	170	46	the	the	DET
ejpam-5363	170	47	nonlinear	nonlinear	ADJ
ejpam-5363	170	48	term	term	NOUN
ejpam-5363	170	49	n	n	PROPN
ejpam-5363	170	50	(	(	PUNCT
ejpam-5363	170	51	ϑ(x	ϑ(x	PROPN
ejpam-5363	170	52	,	,	PUNCT
ejpam-5363	170	53	t	t	PROPN
ejpam-5363	170	54	)	)	PUNCT
ejpam-5363	170	55	)	)	PUNCT
ejpam-5363	170	56	which	which	PRON
ejpam-5363	170	57	is	be	AUX
ejpam-5363	170	58	decomposed	decompose	VERB
ejpam-5363	170	59	by	by	ADP
ejpam-5363	170	60	using	use	VERB
ejpam-5363	170	61	definition	definition	NOUN
ejpam-5363	170	62	(	(	PUNCT
ejpam-5363	170	63	8)	8)	NUM
ejpam-5363	170	64	,	,	PUNCT
ejpam-5363	170	65	the	the	DET
ejpam-5363	170	66	approximated	approximated	ADJ
ejpam-5363	170	67	term	term	NOUN
ejpam-5363	170	68	ϑ0(x	ϑ0(x	NOUN
ejpam-5363	170	69	,	,	PUNCT
ejpam-5363	170	70	t	t	PROPN
ejpam-5363	170	71	)	)	PUNCT
ejpam-5363	170	72	=	=	SYM
ejpam-5363	171	1	t	t	NOUN
ejpam-5363	171	2	ex	ex	X
ejpam-5363	171	3	−	−	PROPN
ejpam-5363	171	4	3	3	NUM
ejpam-5363	171	5	4	4	NUM
ejpam-5363	171	6	t	t	NOUN
ejpam-5363	171	7	2ex	2ex	NOUN
ejpam-5363	171	8	−	−	NUM
ejpam-5363	171	9	1	1	NUM
ejpam-5363	171	10	3	3	NUM
ejpam-5363	171	11	t	t	NOUN
ejpam-5363	171	12	3e2x	3e2x	NUM
ejpam-5363	171	13	,	,	PUNCT
ejpam-5363	171	14	and	and	CCONJ
ejpam-5363	171	15	the	the	DET
ejpam-5363	171	16	others	other	NOUN
ejpam-5363	171	17	can	can	AUX
ejpam-5363	171	18	be	be	AUX
ejpam-5363	171	19	obtained	obtain	VERB
ejpam-5363	171	20	.	.	PUNCT
ejpam-5363	172	1	thus	thus	ADV
ejpam-5363	172	2	,	,	PUNCT
ejpam-5363	172	3	the	the	DET
ejpam-5363	172	4	solution	solution	NOUN
ejpam-5363	172	5	is	be	AUX
ejpam-5363	172	6	obtained	obtain	VERB
ejpam-5363	172	7	by	by	ADP
ejpam-5363	172	8	summation	summation	NOUN
ejpam-5363	172	9	of	of	ADP
ejpam-5363	172	10	iteration	iteration	NOUN
ejpam-5363	172	11	terms	term	NOUN
ejpam-5363	172	12	:	:	PUNCT
ejpam-5363	172	13	ϑ(x	ϑ(x	NOUN
ejpam-5363	172	14	,	,	PUNCT
ejpam-5363	172	15	t	t	PROPN
ejpam-5363	172	16	)	)	PUNCT
ejpam-5363	172	17	=	=	SYM
ejpam-5363	172	18	ϑ0(x	ϑ0(x	PROPN
ejpam-5363	172	19	,	,	PUNCT
ejpam-5363	172	20	t	t	PROPN
ejpam-5363	172	21	)	)	PUNCT
ejpam-5363	172	22	+	+	CCONJ
ejpam-5363	172	23	ϑ1(x	ϑ1(x	PROPN
ejpam-5363	172	24	,	,	PUNCT
ejpam-5363	172	25	t	t	PROPN
ejpam-5363	172	26	)	)	PUNCT
ejpam-5363	172	27	+	+	SYM
ejpam-5363	173	1	ϑ2(x	ϑ2(x	PROPN
ejpam-5363	173	2	,	,	PUNCT
ejpam-5363	173	3	t	t	PROPN
ejpam-5363	173	4	)	)	PUNCT
ejpam-5363	173	5	+	+	CCONJ
ejpam-5363	173	6	ϑ3(x	ϑ3(x	PROPN
ejpam-5363	173	7	,	,	PUNCT
ejpam-5363	173	8	t	t	PROPN
ejpam-5363	173	9	)	)	PUNCT
ejpam-5363	173	10	+	+	X
ejpam-5363	173	11	·	·	PUNCT
ejpam-5363	173	12	·	·	PUNCT
ejpam-5363	173	13	·	·	PUNCT
ejpam-5363	174	1	=	=	SYM
ejpam-5363	174	2	t	t	NOUN
ejpam-5363	174	3	ex	ex	X
ejpam-5363	174	4	−	−	PROPN
ejpam-5363	174	5	3	3	NUM
ejpam-5363	174	6	4	4	NUM
ejpam-5363	174	7	t2ex	t2ex	SYM
ejpam-5363	174	8	−	−	NUM
ejpam-5363	174	9	1	1	NUM
ejpam-5363	174	10	3	3	NUM
ejpam-5363	174	11	t3e2x	t3e2x	NUM
ejpam-5363	174	12	+	+	X
ejpam-5363	174	13	·	·	PUNCT
ejpam-5363	174	14	·	·	PUNCT
ejpam-5363	174	15	·	·	PUNCT
ejpam-5363	174	16	.	.	PUNCT
ejpam-5363	175	1	this	this	DET
ejpam-5363	175	2	series	series	NOUN
ejpam-5363	175	3	form	form	NOUN
ejpam-5363	175	4	solution	solution	NOUN
ejpam-5363	175	5	converges	converge	VERB
ejpam-5363	175	6	to	to	ADP
ejpam-5363	175	7	the	the	DET
ejpam-5363	175	8	exact	exact	ADJ
ejpam-5363	175	9	solution	solution	NOUN
ejpam-5363	175	10	ϑ(x	ϑ(x	PROPN
ejpam-5363	175	11	,	,	PUNCT
ejpam-5363	175	12	t	t	PROPN
ejpam-5363	175	13	)	)	PUNCT
ejpam-5363	175	14	=	=	SYM
ejpam-5363	176	1	t	t	PROPN
ejpam-5363	176	2	ex	ex	X
ejpam-5363	176	3	of	of	ADP
ejpam-5363	176	4	the	the	DET
ejpam-5363	176	5	given	give	VERB
ejpam-5363	176	6	problem	problem	NOUN
ejpam-5363	176	7	(	(	PUNCT
ejpam-5363	176	8	20	20	NUM
ejpam-5363	176	9	)	)	PUNCT
ejpam-5363	176	10	as	as	SCONJ
ejpam-5363	176	11	m	m	PROPN
ejpam-5363	176	12	approaches	approach	NOUN
ejpam-5363	176	13	to	to	ADP
ejpam-5363	176	14	infinity	infinity	NOUN
ejpam-5363	176	15	.	.	PUNCT
ejpam-5363	177	1	m.	m.	NOUN
ejpam-5363	177	2	adel	adel	PROPN
ejpam-5363	177	3	,	,	PUNCT
ejpam-5363	177	4	m.	m.	NOUN
ejpam-5363	177	5	m.	m.	NOUN
ejpam-5363	177	6	khader	khader	PROPN
ejpam-5363	177	7	,	,	PUNCT
ejpam-5363	177	8	t.	t.	PROPN
ejpam-5363	177	9	a.	a.	NOUN
ejpam-5363	177	10	assiri	assiri	PROPN
ejpam-5363	177	11	/	/	SYM
ejpam-5363	177	12	eur	eur	PROPN
ejpam-5363	177	13	.	.	PUNCT
ejpam-5363	178	1	j.	j.	PROPN
ejpam-5363	178	2	pure	pure	PROPN
ejpam-5363	178	3	appl	appl	PROPN
ejpam-5363	178	4	.	.	PROPN
ejpam-5363	178	5	math	math	PROPN
ejpam-5363	178	6	,	,	PUNCT
ejpam-5363	178	7	17	17	NUM
ejpam-5363	178	8	(	(	PUNCT
ejpam-5363	178	9	4	4	NUM
ejpam-5363	178	10	)	)	PUNCT
ejpam-5363	178	11	(	(	PUNCT
ejpam-5363	178	12	2024	2024	NUM
ejpam-5363	178	13	)	)	PUNCT
ejpam-5363	178	14	,	,	PUNCT
ejpam-5363	178	15	2812	2812	NUM
ejpam-5363	178	16	-	-	SYM
ejpam-5363	178	17	2827	2827	NUM
ejpam-5363	178	18	2821	2821	NUM
ejpam-5363	178	19	6.4	6.4	NUM
ejpam-5363	178	20	.	.	PUNCT
ejpam-5363	179	1	implementation	implementation	NOUN
ejpam-5363	179	2	of	of	ADP
ejpam-5363	179	3	the	the	DET
ejpam-5363	179	4	ahpmtm	ahpmtm	PROPN
ejpam-5363	179	5	on	on	ADP
ejpam-5363	179	6	problem	problem	NOUN
ejpam-5363	179	7	2	2	NUM
ejpam-5363	179	8	consider	consider	VERB
ejpam-5363	179	9	the	the	DET
ejpam-5363	179	10	same	same	ADJ
ejpam-5363	179	11	nonlinear	nonlinear	ADJ
ejpam-5363	179	12	burger	burger	NOUN
ejpam-5363	179	13	’s	’s	PART
ejpam-5363	179	14	equation	equation	NOUN
ejpam-5363	179	15	defined	define	VERB
ejpam-5363	179	16	by	by	ADP
ejpam-5363	179	17	equation	equation	NOUN
ejpam-5363	179	18	(	(	PUNCT
ejpam-5363	179	19	20	20	NUM
ejpam-5363	179	20	)	)	PUNCT
ejpam-5363	179	21	,	,	PUNCT
ejpam-5363	179	22	with	with	ADP
ejpam-5363	179	23	the	the	DET
ejpam-5363	179	24	same	same	ADJ
ejpam-5363	179	25	initial	initial	ADJ
ejpam-5363	179	26	condition	condition	NOUN
ejpam-5363	179	27	.	.	PUNCT
ejpam-5363	180	1	now	now	ADV
ejpam-5363	180	2	,	,	PUNCT
ejpam-5363	180	3	from	from	ADP
ejpam-5363	180	4	the	the	DET
ejpam-5363	180	5	equation	equation	NOUN
ejpam-5363	180	6	(	(	PUNCT
ejpam-5363	180	7	22	22	NUM
ejpam-5363	180	8	)	)	PUNCT
ejpam-5363	180	9	,	,	PUNCT
ejpam-5363	180	10	and	and	CCONJ
ejpam-5363	180	11	using	use	VERB
ejpam-5363	180	12	the	the	DET
ejpam-5363	180	13	procedure	procedure	NOUN
ejpam-5363	180	14	of	of	ADP
ejpam-5363	180	15	ahpmtm	ahpmtm	PROPN
ejpam-5363	180	16	,	,	PUNCT
ejpam-5363	180	17	we	we	PRON
ejpam-5363	180	18	get	get	VERB
ejpam-5363	180	19	:	:	PUNCT
ejpam-5363	180	20	∞∑	∞∑	PRON
ejpam-5363	180	21	n=0	n=0	NUM
ejpam-5363	180	22	ϑn	ϑn	NOUN
ejpam-5363	180	23	(	(	PUNCT
ejpam-5363	180	24	x	x	NOUN
ejpam-5363	180	25	,	,	PUNCT
ejpam-5363	180	26	t	t	PROPN
ejpam-5363	180	27	)	)	PUNCT
ejpam-5363	180	28	ρ	ρ	PROPN
ejpam-5363	180	29	n	n	NOUN
ejpam-5363	180	30	=	=	SYM
ejpam-5363	180	31	m−1	m−1	PROPN
ejpam-5363	180	32	{	{	PUNCT
ejpam-5363	180	33	1	1	NUM
ejpam-5363	180	34	s	s	NOUN
ejpam-5363	180	35	m	m	VERB
ejpam-5363	180	36	(	(	PUNCT
ejpam-5363	180	37	δ(x	δ(x	PROPN
ejpam-5363	180	38	,	,	PUNCT
ejpam-5363	180	39	t	t	PROPN
ejpam-5363	180	40	)	)	PUNCT
ejpam-5363	180	41	)	)	PUNCT
ejpam-5363	180	42	}	}	PUNCT
ejpam-5363	181	1	+	+	X
ejpam-5363	181	2	ρm−1	ρm−1	NOUN
ejpam-5363	181	3	{	{	PUNCT
ejpam-5363	181	4	1	1	NUM
ejpam-5363	181	5	s	s	NOUN
ejpam-5363	181	6	m	m	VERB
ejpam-5363	181	7	(	(	PUNCT
ejpam-5363	181	8	∞∑	∞∑	PROPN
ejpam-5363	181	9	n=0	n=0	NUM
ejpam-5363	181	10	(	(	PUNCT
ejpam-5363	181	11	(	(	PUNCT
ejpam-5363	181	12	ϑn)xx	ϑn)xx	X
ejpam-5363	181	13	+	+	NOUN
ejpam-5363	181	14	0.5ϑn	0.5ϑn	NUM
ejpam-5363	181	15	)	)	PUNCT
ejpam-5363	181	16	ρ	ρ	PROPN
ejpam-5363	181	17	n	n	NOUN
ejpam-5363	181	18	+	+	CCONJ
ejpam-5363	181	19	∞∑	∞∑	NUM
ejpam-5363	181	20	n=0	n=0	NUM
ejpam-5363	181	21	hnρ	hnρ	NOUN
ejpam-5363	181	22	n	n	NOUN
ejpam-5363	181	23	)	)	PUNCT
ejpam-5363	181	24	}	}	PUNCT
ejpam-5363	181	25	,	,	PUNCT
ejpam-5363	181	26	by	by	ADP
ejpam-5363	181	27	using	use	VERB
ejpam-5363	181	28	he	he	PRON
ejpam-5363	181	29	’s	’s	PART
ejpam-5363	181	30	polynomials	polynomial	NOUN
ejpam-5363	181	31	and	and	CCONJ
ejpam-5363	181	32	comparing	compare	VERB
ejpam-5363	181	33	different	different	ADJ
ejpam-5363	181	34	powers	power	NOUN
ejpam-5363	181	35	of	of	ADP
ejpam-5363	181	36	ρ	ρ	PROPN
ejpam-5363	181	37	,	,	PUNCT
ejpam-5363	181	38	we	we	PRON
ejpam-5363	181	39	get	get	VERB
ejpam-5363	181	40	the	the	DET
ejpam-5363	181	41	approximation	approximation	NOUN
ejpam-5363	181	42	terms	term	NOUN
ejpam-5363	181	43	:	:	PUNCT
ejpam-5363	181	44	ρ0	ρ0	X
ejpam-5363	181	45	:	:	PUNCT
ejpam-5363	181	46	ϑ0	ϑ0	PROPN
ejpam-5363	181	47	(	(	PUNCT
ejpam-5363	181	48	x	x	NOUN
ejpam-5363	181	49	,	,	PUNCT
ejpam-5363	181	50	t	t	PROPN
ejpam-5363	181	51	)	)	PUNCT
ejpam-5363	181	52	=	=	SYM
ejpam-5363	182	1	m−1	m−1	PROPN
ejpam-5363	182	2	{	{	PUNCT
ejpam-5363	182	3	1	1	NUM
ejpam-5363	182	4	s	s	NOUN
ejpam-5363	182	5	m	m	VERB
ejpam-5363	182	6	(	(	PUNCT
ejpam-5363	182	7	δ(x	δ(x	PROPN
ejpam-5363	182	8	,	,	PUNCT
ejpam-5363	182	9	t	t	PROPN
ejpam-5363	182	10	)	)	PUNCT
ejpam-5363	182	11	)	)	PUNCT
ejpam-5363	182	12	}	}	PUNCT
ejpam-5363	183	1	=	=	SYM
ejpam-5363	183	2	t	t	NOUN
ejpam-5363	183	3	ex	ex	X
ejpam-5363	183	4	−	−	PROPN
ejpam-5363	183	5	3	3	NUM
ejpam-5363	183	6	4	4	NUM
ejpam-5363	183	7	t2ex	t2ex	PUNCT
ejpam-5363	183	8	−	−	NUM
ejpam-5363	183	9	1	1	NUM
ejpam-5363	183	10	3	3	NUM
ejpam-5363	183	11	t3e2x	t3e2x	NUM
ejpam-5363	183	12	,	,	PUNCT
ejpam-5363	183	13	ρ1	ρ1	NOUN
ejpam-5363	183	14	:	:	PUNCT
ejpam-5363	184	1	ϑ1	ϑ1	NOUN
ejpam-5363	184	2	(	(	PUNCT
ejpam-5363	184	3	x	x	PROPN
ejpam-5363	184	4	,	,	PUNCT
ejpam-5363	184	5	t	t	PROPN
ejpam-5363	184	6	)	)	PUNCT
ejpam-5363	184	7	=	=	SYM
ejpam-5363	185	1	m−1	m−1	PROPN
ejpam-5363	185	2	{	{	PUNCT
ejpam-5363	185	3	1	1	NUM
ejpam-5363	185	4	s	s	NOUN
ejpam-5363	185	5	m	m	VERB
ejpam-5363	185	6	(	(	PUNCT
ejpam-5363	185	7	(	(	PUNCT
ejpam-5363	185	8	ϑ0)xx	ϑ0)xx	X
ejpam-5363	185	9	+	+	SYM
ejpam-5363	185	10	0.5ϑ0	0.5ϑ0	NUM
ejpam-5363	185	11	+	+	NOUN
ejpam-5363	185	12	h0	h0	NOUN
ejpam-5363	185	13	)	)	PUNCT
ejpam-5363	185	14	}	}	PUNCT
ejpam-5363	185	15	,	,	PUNCT
ejpam-5363	185	16	ρ2	ρ2	NOUN
ejpam-5363	185	17	:	:	PUNCT
ejpam-5363	185	18	ϑ2	ϑ2	PROPN
ejpam-5363	185	19	(	(	PUNCT
ejpam-5363	185	20	x	x	X
ejpam-5363	185	21	,	,	PUNCT
ejpam-5363	185	22	t	t	PROPN
ejpam-5363	185	23	)	)	PUNCT
ejpam-5363	185	24	=	=	SYM
ejpam-5363	186	1	m−1	m−1	PROPN
ejpam-5363	186	2	{	{	PUNCT
ejpam-5363	186	3	1	1	NUM
ejpam-5363	186	4	s	s	NOUN
ejpam-5363	186	5	m	m	VERB
ejpam-5363	186	6	(	(	PUNCT
ejpam-5363	186	7	(	(	PUNCT
ejpam-5363	186	8	ϑ1)xx	ϑ1)xx	PROPN
ejpam-5363	186	9	+	+	NUM
ejpam-5363	186	10	0.5ϑ1	0.5ϑ1	NUM
ejpam-5363	186	11	+	+	NOUN
ejpam-5363	186	12	h1	h1	NOUN
ejpam-5363	186	13	)	)	PUNCT
ejpam-5363	186	14	}	}	PUNCT
ejpam-5363	186	15	,	,	PUNCT
ejpam-5363	186	16	...	...	PUNCT
ejpam-5363	186	17	.	.	PUNCT
ejpam-5363	187	1	the	the	DET
ejpam-5363	187	2	ahpmtm	ahpmtm	ADJ
ejpam-5363	187	3	solution	solution	NOUN
ejpam-5363	187	4	in	in	ADP
ejpam-5363	187	5	series	series	NOUN
ejpam-5363	187	6	form	form	NOUN
ejpam-5363	187	7	(	(	PUNCT
ejpam-5363	187	8	at	at	ADP
ejpam-5363	187	9	ρ	ρ	PROPN
ejpam-5363	187	10	=	=	SYM
ejpam-5363	187	11	1	1	NUM
ejpam-5363	187	12	)	)	PUNCT
ejpam-5363	187	13	becomes	become	VERB
ejpam-5363	187	14	as	as	ADP
ejpam-5363	187	15	in	in	ADP
ejpam-5363	187	16	(	(	PUNCT
ejpam-5363	187	17	19	19	NUM
ejpam-5363	187	18	)	)	PUNCT
ejpam-5363	187	19	,	,	PUNCT
ejpam-5363	187	20	and	and	CCONJ
ejpam-5363	187	21	by	by	ADP
ejpam-5363	187	22	inserting	insert	VERB
ejpam-5363	187	23	the	the	DET
ejpam-5363	187	24	related	related	ADJ
ejpam-5363	187	25	iterations	iteration	NOUN
ejpam-5363	187	26	,	,	PUNCT
ejpam-5363	187	27	we	we	PRON
ejpam-5363	187	28	get	get	VERB
ejpam-5363	187	29	:	:	PUNCT
ejpam-5363	187	30	ϑ(x	ϑ(x	NOUN
ejpam-5363	187	31	,	,	PUNCT
ejpam-5363	187	32	t	t	PROPN
ejpam-5363	187	33	)	)	PUNCT
ejpam-5363	187	34	=	=	SYM
ejpam-5363	188	1	ϑ0(x	ϑ0(x	PROPN
ejpam-5363	188	2	,	,	PUNCT
ejpam-5363	188	3	t	t	PROPN
ejpam-5363	188	4	)	)	PUNCT
ejpam-5363	188	5	+	+	CCONJ
ejpam-5363	188	6	ϑ1(x	ϑ1(x	PROPN
ejpam-5363	188	7	,	,	PUNCT
ejpam-5363	188	8	t	t	PROPN
ejpam-5363	188	9	)	)	PUNCT
ejpam-5363	188	10	+	+	SYM
ejpam-5363	189	1	ϑ2(x	ϑ2(x	PROPN
ejpam-5363	189	2	,	,	PUNCT
ejpam-5363	189	3	t	t	PROPN
ejpam-5363	189	4	)	)	PUNCT
ejpam-5363	189	5	+	+	CCONJ
ejpam-5363	189	6	ϑ3(x	ϑ3(x	PROPN
ejpam-5363	189	7	,	,	PUNCT
ejpam-5363	189	8	t	t	PROPN
ejpam-5363	189	9	)	)	PUNCT
ejpam-5363	189	10	+	+	X
ejpam-5363	189	11	·	·	PUNCT
ejpam-5363	189	12	·	·	PUNCT
ejpam-5363	189	13	·	·	PUNCT
ejpam-5363	190	1	=	=	SYM
ejpam-5363	190	2	t	t	NOUN
ejpam-5363	190	3	ex	ex	X
ejpam-5363	190	4	−	−	PROPN
ejpam-5363	190	5	3	3	NUM
ejpam-5363	190	6	4	4	NUM
ejpam-5363	190	7	t2ex	t2ex	SYM
ejpam-5363	190	8	−	−	NUM
ejpam-5363	190	9	1	1	NUM
ejpam-5363	190	10	3	3	NUM
ejpam-5363	190	11	t3e2x	t3e2x	NUM
ejpam-5363	190	12	+	+	X
ejpam-5363	190	13	·	·	PUNCT
ejpam-5363	190	14	·	·	PUNCT
ejpam-5363	190	15	·	·	PUNCT
ejpam-5363	190	16	.	.	PUNCT
ejpam-5363	191	1	this	this	DET
ejpam-5363	191	2	series	series	NOUN
ejpam-5363	191	3	form	form	NOUN
ejpam-5363	191	4	solution	solution	NOUN
ejpam-5363	191	5	converges	converge	VERB
ejpam-5363	191	6	to	to	ADP
ejpam-5363	191	7	the	the	DET
ejpam-5363	191	8	given	give	VERB
ejpam-5363	191	9	exact	exact	ADJ
ejpam-5363	191	10	solution	solution	NOUN
ejpam-5363	191	11	ϑ	ϑ	X
ejpam-5363	191	12	(	(	PUNCT
ejpam-5363	191	13	x	x	NOUN
ejpam-5363	191	14	,	,	PUNCT
ejpam-5363	191	15	t	t	PROPN
ejpam-5363	191	16	)	)	PUNCT
ejpam-5363	191	17	=	=	PUNCT
ejpam-5363	192	1	x	x	X
ejpam-5363	192	2	et	et	NOUN
ejpam-5363	192	3	of	of	ADP
ejpam-5363	192	4	the	the	DET
ejpam-5363	192	5	given	give	VERB
ejpam-5363	192	6	problem	problem	NOUN
ejpam-5363	192	7	(	(	PUNCT
ejpam-5363	192	8	20	20	NUM
ejpam-5363	192	9	)	)	PUNCT
ejpam-5363	192	10	as	as	ADP
ejpam-5363	192	11	m	m	PROPN
ejpam-5363	192	12	approaches	approach	NOUN
ejpam-5363	192	13	to	to	ADP
ejpam-5363	192	14	infinity	infinity	NOUN
ejpam-5363	192	15	.	.	PUNCT
ejpam-5363	193	1	7	7	X
ejpam-5363	193	2	.	.	NOUN
ejpam-5363	193	3	results	result	NOUN
ejpam-5363	193	4	and	and	CCONJ
ejpam-5363	193	5	discussions	discussion	NOUN
ejpam-5363	193	6	here	here	ADV
ejpam-5363	193	7	,	,	PUNCT
ejpam-5363	193	8	we	we	PRON
ejpam-5363	193	9	behold	behold	VERB
ejpam-5363	193	10	the	the	DET
ejpam-5363	193	11	two	two	NUM
ejpam-5363	193	12	models	model	NOUN
ejpam-5363	193	13	(	(	PUNCT
ejpam-5363	193	14	14	14	NUM
ejpam-5363	193	15	)	)	PUNCT
ejpam-5363	193	16	and	and	CCONJ
ejpam-5363	193	17	(	(	PUNCT
ejpam-5363	193	18	20	20	NUM
ejpam-5363	193	19	)	)	PUNCT
ejpam-5363	193	20	with	with	ADP
ejpam-5363	193	21	different	different	ADJ
ejpam-5363	193	22	values	value	NOUN
ejpam-5363	193	23	of	of	ADP
ejpam-5363	193	24	m	m	PRON
ejpam-5363	193	25	and	and	CCONJ
ejpam-5363	193	26	the	the	DET
ejpam-5363	193	27	corresponding	corresponding	ADJ
ejpam-5363	193	28	initial	initial	ADJ
ejpam-5363	193	29	conditions	condition	NOUN
ejpam-5363	193	30	for	for	ADP
ejpam-5363	193	31	each	each	DET
ejpam-5363	193	32	one	one	NUM
ejpam-5363	193	33	of	of	ADP
ejpam-5363	193	34	them	they	PRON
ejpam-5363	193	35	in	in	ADP
ejpam-5363	193	36	(	(	PUNCT
ejpam-5363	193	37	x	x	NOUN
ejpam-5363	193	38	,	,	PUNCT
ejpam-5363	193	39	t	t	PROPN
ejpam-5363	193	40	)	)	PUNCT
ejpam-5363	193	41	∈	∈	PROPN
ejpam-5363	194	1	[	[	X
ejpam-5363	194	2	0	0	NUM
ejpam-5363	194	3	,	,	PUNCT
ejpam-5363	194	4	1	1	NUM
ejpam-5363	194	5	]	]	SYM
ejpam-5363	194	6	×	×	NOUN
ejpam-5363	195	1	[	[	X
ejpam-5363	195	2	0	0	NUM
ejpam-5363	195	3	,	,	PUNCT
ejpam-5363	195	4	1	1	NUM
ejpam-5363	195	5	]	]	PUNCT
ejpam-5363	195	6	.	.	PUNCT
ejpam-5363	196	1	we	we	PRON
ejpam-5363	196	2	give	give	VERB
ejpam-5363	196	3	a	a	DET
ejpam-5363	196	4	numerical	numerical	ADJ
ejpam-5363	196	5	simulation	simulation	NOUN
ejpam-5363	196	6	for	for	ADP
ejpam-5363	196	7	burger	burger	NOUN
ejpam-5363	196	8	’s	’s	PART
ejpam-5363	196	9	equation	equation	NOUN
ejpam-5363	196	10	by	by	ADP
ejpam-5363	196	11	implementing	implement	VERB
ejpam-5363	196	12	the	the	DET
ejpam-5363	196	13	indicated	indicate	VERB
ejpam-5363	196	14	scheme	scheme	NOUN
ejpam-5363	196	15	during	during	ADP
ejpam-5363	196	16	in	in	ADP
ejpam-5363	196	17	figures	figure	NOUN
ejpam-5363	196	18	1	1	NUM
ejpam-5363	196	19	-	-	SYM
ejpam-5363	196	20	2	2	NUM
ejpam-5363	196	21	.	.	PUNCT
ejpam-5363	197	1	(	(	PUNCT
ejpam-5363	197	2	i	i	NOUN
ejpam-5363	197	3	)	)	PUNCT
ejpam-5363	197	4	figure	figure	NOUN
ejpam-5363	197	5	1	1	NUM
ejpam-5363	197	6	,	,	PUNCT
ejpam-5363	197	7	recognizes	recognize	VERB
ejpam-5363	197	8	a	a	DET
ejpam-5363	197	9	comparison	comparison	NOUN
ejpam-5363	197	10	between	between	ADP
ejpam-5363	197	11	the	the	DET
ejpam-5363	197	12	exact	exact	NOUN
ejpam-5363	197	13	(	(	PUNCT
ejpam-5363	197	14	ϑex(x	ϑex(x	PROPN
ejpam-5363	197	15	,	,	PUNCT
ejpam-5363	197	16	t	t	PROPN
ejpam-5363	197	17	)	)	PUNCT
ejpam-5363	197	18	)	)	PUNCT
ejpam-5363	197	19	and	and	CCONJ
ejpam-5363	197	20	approximate	approximate	ADJ
ejpam-5363	197	21	solutions	solution	NOUN
ejpam-5363	197	22	by	by	ADP
ejpam-5363	197	23	madm	madm	NOUN
ejpam-5363	197	24	(	(	PUNCT
ejpam-5363	197	25	ϑmadm	ϑmadm	NOUN
ejpam-5363	197	26	(	(	PUNCT
ejpam-5363	197	27	x	x	PROPN
ejpam-5363	197	28	,	,	PUNCT
ejpam-5363	197	29	t	t	PROPN
ejpam-5363	197	30	)	)	PUNCT
ejpam-5363	197	31	)	)	PUNCT
ejpam-5363	197	32	,	,	PUNCT
ejpam-5363	197	33	and	and	CCONJ
ejpam-5363	197	34	ahpmtm	ahpmtm	PROPN
ejpam-5363	197	35	(	(	PUNCT
ejpam-5363	197	36	ϑahpmtm	ϑahpmtm	PROPN
ejpam-5363	197	37	(	(	PUNCT
ejpam-5363	197	38	x	x	NOUN
ejpam-5363	197	39	,	,	PUNCT
ejpam-5363	197	40	t	t	PROPN
ejpam-5363	197	41	)	)	PUNCT
ejpam-5363	197	42	)	)	PUNCT
ejpam-5363	197	43	for	for	ADP
ejpam-5363	197	44	the	the	DET
ejpam-5363	197	45	problem	problem	NOUN
ejpam-5363	197	46	1	1	NUM
ejpam-5363	197	47	(	(	PUNCT
ejpam-5363	197	48	14	14	NUM
ejpam-5363	197	49	)	)	PUNCT
ejpam-5363	197	50	.	.	PUNCT
ejpam-5363	198	1	where	where	SCONJ
ejpam-5363	198	2	the	the	DET
ejpam-5363	198	3	order	order	NOUN
ejpam-5363	198	4	of	of	ADP
ejpam-5363	198	5	approximation	approximation	NOUN
ejpam-5363	198	6	m	m	NOUN
ejpam-5363	198	7	=	=	SYM
ejpam-5363	198	8	6	6	NUM
ejpam-5363	198	9	(	(	PUNCT
ejpam-5363	198	10	the	the	DET
ejpam-5363	198	11	number	number	NOUN
ejpam-5363	198	12	of	of	ADP
ejpam-5363	198	13	the	the	DET
ejpam-5363	198	14	considered	consider	VERB
ejpam-5363	198	15	terms	term	NOUN
ejpam-5363	198	16	of	of	ADP
ejpam-5363	198	17	the	the	DET
ejpam-5363	198	18	series	series	NOUN
ejpam-5363	198	19	solution	solution	NOUN
ejpam-5363	198	20	)	)	PUNCT
ejpam-5363	198	21	.	.	PUNCT
ejpam-5363	199	1	(	(	PUNCT
ejpam-5363	199	2	ii	ii	NOUN
ejpam-5363	199	3	)	)	PUNCT
ejpam-5363	199	4	figure	figure	NOUN
ejpam-5363	199	5	2	2	NUM
ejpam-5363	199	6	,	,	PUNCT
ejpam-5363	199	7	gives	give	VERB
ejpam-5363	199	8	a	a	DET
ejpam-5363	199	9	comparison	comparison	NOUN
ejpam-5363	199	10	between	between	ADP
ejpam-5363	199	11	the	the	DET
ejpam-5363	199	12	exact	exact	NOUN
ejpam-5363	199	13	(	(	PUNCT
ejpam-5363	199	14	ϑex(x	ϑex(x	PROPN
ejpam-5363	199	15	,	,	PUNCT
ejpam-5363	199	16	t	t	PROPN
ejpam-5363	199	17	)	)	PUNCT
ejpam-5363	199	18	)	)	PUNCT
ejpam-5363	199	19	and	and	CCONJ
ejpam-5363	199	20	approximate	approximate	ADJ
ejpam-5363	199	21	solutions	solution	NOUN
ejpam-5363	199	22	by	by	ADP
ejpam-5363	199	23	madm	madm	NOUN
ejpam-5363	199	24	(	(	PUNCT
ejpam-5363	199	25	ϑmadm	ϑmadm	NOUN
ejpam-5363	199	26	(	(	PUNCT
ejpam-5363	199	27	x	x	PROPN
ejpam-5363	199	28	,	,	PUNCT
ejpam-5363	199	29	t	t	PROPN
ejpam-5363	199	30	)	)	PUNCT
ejpam-5363	199	31	)	)	PUNCT
ejpam-5363	199	32	,	,	PUNCT
ejpam-5363	199	33	and	and	CCONJ
ejpam-5363	199	34	ahpmtm	ahpmtm	PROPN
ejpam-5363	199	35	(	(	PUNCT
ejpam-5363	199	36	ϑahpmtm	ϑahpmtm	PROPN
ejpam-5363	199	37	(	(	PUNCT
ejpam-5363	199	38	x	x	NOUN
ejpam-5363	199	39	,	,	PUNCT
ejpam-5363	199	40	t	t	PROPN
ejpam-5363	199	41	)	)	PUNCT
ejpam-5363	199	42	)	)	PUNCT
ejpam-5363	199	43	for	for	ADP
ejpam-5363	199	44	the	the	DET
ejpam-5363	199	45	problem	problem	NOUN
ejpam-5363	199	46	2	2	NUM
ejpam-5363	199	47	(	(	PUNCT
ejpam-5363	199	48	20	20	NUM
ejpam-5363	199	49	)	)	PUNCT
ejpam-5363	199	50	.	.	PUNCT
ejpam-5363	200	1	where	where	SCONJ
ejpam-5363	200	2	the	the	DET
ejpam-5363	200	3	order	order	NOUN
ejpam-5363	200	4	of	of	ADP
ejpam-5363	200	5	approximation	approximation	NOUN
ejpam-5363	200	6	m	m	NOUN
ejpam-5363	200	7	=	=	SYM
ejpam-5363	200	8	6	6	NUM
ejpam-5363	200	9	(	(	PUNCT
ejpam-5363	200	10	the	the	DET
ejpam-5363	200	11	number	number	NOUN
ejpam-5363	200	12	of	of	ADP
ejpam-5363	200	13	the	the	DET
ejpam-5363	200	14	considered	consider	VERB
ejpam-5363	200	15	terms	term	NOUN
ejpam-5363	200	16	of	of	ADP
ejpam-5363	200	17	the	the	DET
ejpam-5363	200	18	series	series	NOUN
ejpam-5363	200	19	solution	solution	NOUN
ejpam-5363	200	20	)	)	PUNCT
ejpam-5363	200	21	.	.	PUNCT
ejpam-5363	201	1	m.	m.	PROPN
ejpam-5363	201	2	adel	adel	PROPN
ejpam-5363	201	3	,	,	PUNCT
ejpam-5363	201	4	m.	m.	NOUN
ejpam-5363	201	5	m.	m.	NOUN
ejpam-5363	201	6	khader	khader	PROPN
ejpam-5363	201	7	,	,	PUNCT
ejpam-5363	201	8	t.	t.	PROPN
ejpam-5363	201	9	a.	a.	NOUN
ejpam-5363	201	10	assiri	assiri	PROPN
ejpam-5363	201	11	/	/	SYM
ejpam-5363	201	12	eur	eur	PROPN
ejpam-5363	201	13	.	.	PUNCT
ejpam-5363	202	1	j.	j.	PROPN
ejpam-5363	202	2	pure	pure	PROPN
ejpam-5363	202	3	appl	appl	PROPN
ejpam-5363	202	4	.	.	PROPN
ejpam-5363	202	5	math	math	PROPN
ejpam-5363	202	6	,	,	PUNCT
ejpam-5363	202	7	17	17	NUM
ejpam-5363	202	8	(	(	PUNCT
ejpam-5363	202	9	4	4	NUM
ejpam-5363	202	10	)	)	PUNCT
ejpam-5363	202	11	(	(	PUNCT
ejpam-5363	202	12	2024	2024	NUM
ejpam-5363	202	13	)	)	PUNCT
ejpam-5363	202	14	,	,	PUNCT
ejpam-5363	202	15	2812	2812	NUM
ejpam-5363	202	16	-	-	SYM
ejpam-5363	202	17	2827	2827	NUM
ejpam-5363	202	18	2822	2822	NUM
ejpam-5363	202	19	fig	fig	NOUN
ejpam-5363	202	20	.	.	PUNCT
ejpam-5363	203	1	1	1	NUM
ejpam-5363	203	2	:	:	PUNCT
ejpam-5363	203	3	plot	plot	NOUN
ejpam-5363	203	4	of	of	ADP
ejpam-5363	203	5	problem	problem	NOUN
ejpam-5363	203	6	1	1	NUM
ejpam-5363	203	7	for	for	ADP
ejpam-5363	203	8	the	the	DET
ejpam-5363	203	9	exact	exact	ADJ
ejpam-5363	203	10	and	and	CCONJ
ejpam-5363	203	11	approximate	approximate	ADJ
ejpam-5363	203	12	solutions	solution	NOUN
ejpam-5363	203	13	by	by	ADP
ejpam-5363	203	14	madm	madm	NOUN
ejpam-5363	203	15	,	,	PUNCT
ejpam-5363	203	16	and	and	CCONJ
ejpam-5363	203	17	ahpmtm	ahpmtm	ADJ
ejpam-5363	203	18	.	.	PUNCT
ejpam-5363	204	1	when	when	SCONJ
ejpam-5363	204	2	looking	look	VERB
ejpam-5363	204	3	at	at	ADP
ejpam-5363	204	4	these	these	DET
ejpam-5363	204	5	two	two	NUM
ejpam-5363	204	6	figures	figure	NOUN
ejpam-5363	204	7	,	,	PUNCT
ejpam-5363	204	8	we	we	PRON
ejpam-5363	204	9	can	can	AUX
ejpam-5363	204	10	emphasize	emphasize	VERB
ejpam-5363	204	11	that	that	SCONJ
ejpam-5363	204	12	although	although	SCONJ
ejpam-5363	204	13	the	the	DET
ejpam-5363	204	14	behavior	behavior	NOUN
ejpam-5363	204	15	of	of	ADP
ejpam-5363	204	16	the	the	DET
ejpam-5363	204	17	approximate	approximate	ADJ
ejpam-5363	204	18	solution	solution	NOUN
ejpam-5363	204	19	using	use	VERB
ejpam-5363	204	20	the	the	DET
ejpam-5363	204	21	two	two	NUM
ejpam-5363	204	22	methods	method	NOUN
ejpam-5363	204	23	used	use	VERB
ejpam-5363	204	24	is	be	AUX
ejpam-5363	204	25	similar	similar	ADJ
ejpam-5363	204	26	to	to	ADP
ejpam-5363	204	27	the	the	DET
ejpam-5363	204	28	behavior	behavior	NOUN
ejpam-5363	204	29	of	of	ADP
ejpam-5363	204	30	the	the	DET
ejpam-5363	204	31	exact	exact	ADJ
ejpam-5363	204	32	solution	solution	NOUN
ejpam-5363	204	33	to	to	ADP
ejpam-5363	204	34	the	the	DET
ejpam-5363	204	35	model	model	NOUN
ejpam-5363	204	36	under	under	ADP
ejpam-5363	204	37	study	study	NOUN
ejpam-5363	204	38	,	,	PUNCT
ejpam-5363	204	39	the	the	DET
ejpam-5363	204	40	approximate	approximate	ADJ
ejpam-5363	204	41	solution	solution	NOUN
ejpam-5363	204	42	using	use	VERB
ejpam-5363	204	43	the	the	DET
ejpam-5363	204	44	ahpmtm	ahpmtm	ADJ
ejpam-5363	204	45	method	method	NOUN
ejpam-5363	204	46	is	be	AUX
ejpam-5363	204	47	better	well	ADJ
ejpam-5363	204	48	than	than	ADP
ejpam-5363	204	49	the	the	DET
ejpam-5363	204	50	solution	solution	NOUN
ejpam-5363	204	51	using	use	VERB
ejpam-5363	204	52	the	the	DET
ejpam-5363	204	53	madm	madm	NOUN
ejpam-5363	204	54	method	method	NOUN
ejpam-5363	204	55	.	.	PUNCT
ejpam-5363	205	1	in	in	ADP
ejpam-5363	205	2	addition	addition	NOUN
ejpam-5363	205	3	,	,	PUNCT
ejpam-5363	205	4	to	to	PART
ejpam-5363	205	5	validate	validate	VERB
ejpam-5363	205	6	our	our	PRON
ejpam-5363	205	7	numerical	numerical	ADJ
ejpam-5363	205	8	solutions	solution	NOUN
ejpam-5363	205	9	by	by	ADP
ejpam-5363	205	10	the	the	DET
ejpam-5363	205	11	two	two	NUM
ejpam-5363	205	12	proposed	propose	VERB
ejpam-5363	205	13	approximation	approximation	NOUN
ejpam-5363	205	14	methods	method	NOUN
ejpam-5363	205	15	(	(	PUNCT
ejpam-5363	205	16	madm	madm	NOUN
ejpam-5363	205	17	,	,	PUNCT
ejpam-5363	205	18	and	and	CCONJ
ejpam-5363	205	19	ahpmtm	ahpmtm	ADJ
ejpam-5363	205	20	)	)	PUNCT
ejpam-5363	205	21	,	,	PUNCT
ejpam-5363	205	22	we	we	PRON
ejpam-5363	205	23	present	present	VERB
ejpam-5363	205	24	a	a	DET
ejpam-5363	205	25	comparison	comparison	NOUN
ejpam-5363	205	26	in	in	ADP
ejpam-5363	205	27	tables	table	NOUN
ejpam-5363	205	28	1	1	NUM
ejpam-5363	205	29	and	and	CCONJ
ejpam-5363	205	30	2	2	NUM
ejpam-5363	205	31	between	between	ADP
ejpam-5363	205	32	the	the	DET
ejpam-5363	205	33	absolute	absolute	ADJ
ejpam-5363	205	34	error	error	NOUN
ejpam-5363	205	35	|ϑexact(x	|ϑexact(x	PROPN
ejpam-5363	205	36	,	,	PUNCT
ejpam-5363	205	37	t	t	PROPN
ejpam-5363	205	38	)	)	PUNCT
ejpam-5363	205	39	−	−	PROPN
ejpam-5363	206	1	ϑapproximation(x	ϑapproximation(x	ADP
ejpam-5363	206	2	,	,	PUNCT
ejpam-5363	206	3	t)|	t)|	NOUN
ejpam-5363	206	4	of	of	ADP
ejpam-5363	206	5	the	the	DET
ejpam-5363	206	6	testing	testing	NOUN
ejpam-5363	206	7	problems	problem	NOUN
ejpam-5363	206	8	1	1	NUM
ejpam-5363	206	9	and	and	CCONJ
ejpam-5363	206	10	2	2	NUM
ejpam-5363	206	11	respectively	respectively	ADV
ejpam-5363	206	12	,	,	PUNCT
ejpam-5363	206	13	with	with	ADP
ejpam-5363	206	14	the	the	DET
ejpam-5363	206	15	order	order	NOUN
ejpam-5363	206	16	of	of	ADP
ejpam-5363	206	17	approximation	approximation	NOUN
ejpam-5363	206	18	m	m	NOUN
ejpam-5363	206	19	=	=	NOUN
ejpam-5363	206	20	10	10	NUM
ejpam-5363	206	21	.	.	PUNCT
ejpam-5363	207	1	this	this	DET
ejpam-5363	207	2	comparison	comparison	NOUN
ejpam-5363	207	3	shows	show	VERB
ejpam-5363	207	4	that	that	SCONJ
ejpam-5363	207	5	the	the	DET
ejpam-5363	207	6	ahpmtm	ahpmtm	ADJ
ejpam-5363	207	7	method	method	NOUN
ejpam-5363	207	8	is	be	AUX
ejpam-5363	207	9	more	more	ADV
ejpam-5363	207	10	accurate	accurate	ADJ
ejpam-5363	207	11	than	than	ADP
ejpam-5363	207	12	the	the	DET
ejpam-5363	207	13	madm	madm	NOUN
ejpam-5363	207	14	method	method	NOUN
ejpam-5363	207	15	,	,	PUNCT
ejpam-5363	207	16	and	and	CCONJ
ejpam-5363	207	17	this	this	PRON
ejpam-5363	207	18	indicates	indicate	VERB
ejpam-5363	207	19	that	that	SCONJ
ejpam-5363	207	20	the	the	DET
ejpam-5363	207	21	ahpmtm	ahpmtm	NOUN
ejpam-5363	207	22	is	be	AUX
ejpam-5363	207	23	faster	fast	ADJ
ejpam-5363	207	24	in	in	ADP
ejpam-5363	207	25	convergence	convergence	NOUN
ejpam-5363	207	26	than	than	ADP
ejpam-5363	207	27	the	the	DET
ejpam-5363	207	28	madm	madm	NOUN
ejpam-5363	207	29	.	.	PUNCT
ejpam-5363	208	1	8	8	X
ejpam-5363	208	2	.	.	PUNCT
ejpam-5363	208	3	conclusions	conclusion	NOUN
ejpam-5363	208	4	in	in	ADP
ejpam-5363	208	5	this	this	DET
ejpam-5363	208	6	case	case	NOUN
ejpam-5363	208	7	study	study	NOUN
ejpam-5363	208	8	,	,	PUNCT
ejpam-5363	208	9	we	we	PRON
ejpam-5363	208	10	compared	compare	VERB
ejpam-5363	208	11	the	the	DET
ejpam-5363	208	12	madm	madm	NOUN
ejpam-5363	208	13	and	and	CCONJ
ejpam-5363	208	14	ahpmtm	ahpmtm	ADJ
ejpam-5363	208	15	by	by	ADP
ejpam-5363	208	16	solving	solve	VERB
ejpam-5363	208	17	the	the	DET
ejpam-5363	208	18	nonlinear	nonlinear	ADJ
ejpam-5363	208	19	burger	burger	NOUN
ejpam-5363	208	20	’s	’s	PART
ejpam-5363	208	21	differential	differential	ADJ
ejpam-5363	208	22	equation	equation	NOUN
ejpam-5363	208	23	.	.	PUNCT
ejpam-5363	209	1	the	the	DET
ejpam-5363	209	2	madm	madm	NOUN
ejpam-5363	209	3	has	have	VERB
ejpam-5363	209	4	a	a	DET
ejpam-5363	209	5	straight	straight	ADJ
ejpam-5363	209	6	-	-	PUNCT
ejpam-5363	209	7	forward	forward	NOUN
ejpam-5363	209	8	decomposition	decomposition	NOUN
ejpam-5363	209	9	procedure	procedure	NOUN
ejpam-5363	209	10	with	with	ADP
ejpam-5363	209	11	the	the	DET
ejpam-5363	209	12	mohand	mohand	NOUN
ejpam-5363	209	13	transform	transform	NOUN
ejpam-5363	209	14	and	and	CCONJ
ejpam-5363	209	15	requires	require	VERB
ejpam-5363	209	16	less	less	ADJ
ejpam-5363	209	17	computational	computational	ADJ
ejpam-5363	209	18	work	work	NOUN
ejpam-5363	209	19	.	.	PUNCT
ejpam-5363	210	1	it	it	PRON
ejpam-5363	210	2	provides	provide	VERB
ejpam-5363	210	3	a	a	DET
ejpam-5363	210	4	series	series	NOUN
ejpam-5363	210	5	of	of	ADP
ejpam-5363	210	6	approximate	approximate	ADJ
ejpam-5363	210	7	solutions	solution	NOUN
ejpam-5363	210	8	that	that	PRON
ejpam-5363	210	9	converge	converge	VERB
ejpam-5363	210	10	with	with	ADP
ejpam-5363	210	11	high	high	ADJ
ejpam-5363	210	12	accuracy	accuracy	NOUN
ejpam-5363	210	13	to	to	PART
ejpam-5363	210	14	exact	exact	VERB
ejpam-5363	210	15	solutions	solution	NOUN
ejpam-5363	210	16	for	for	ADP
ejpam-5363	210	17	the	the	DET
ejpam-5363	210	18	given	give	VERB
ejpam-5363	210	19	problems	problem	NOUN
ejpam-5363	210	20	.	.	PUNCT
ejpam-5363	211	1	the	the	DET
ejpam-5363	211	2	ahpmtm	ahpmtm	PROPN
ejpam-5363	211	3	,	,	PUNCT
ejpam-5363	211	4	on	on	ADP
ejpam-5363	211	5	the	the	DET
ejpam-5363	211	6	other	other	ADJ
ejpam-5363	211	7	hand	hand	NOUN
ejpam-5363	211	8	,	,	PUNCT
ejpam-5363	211	9	used	use	VERB
ejpam-5363	211	10	the	the	DET
ejpam-5363	211	11	homotopy	homotopy	NOUN
ejpam-5363	211	12	perturbation	perturbation	NOUN
ejpam-5363	211	13	prom	prom	NOUN
ejpam-5363	211	14	.	.	PUNCT
ejpam-5363	212	1	adel	adel	PROPN
ejpam-5363	212	2	,	,	PUNCT
ejpam-5363	212	3	m.	m.	NOUN
ejpam-5363	212	4	m.	m.	NOUN
ejpam-5363	212	5	khader	khader	PROPN
ejpam-5363	212	6	,	,	PUNCT
ejpam-5363	212	7	t.	t.	PROPN
ejpam-5363	212	8	a.	a.	NOUN
ejpam-5363	212	9	assiri	assiri	PROPN
ejpam-5363	212	10	/	/	SYM
ejpam-5363	212	11	eur	eur	PROPN
ejpam-5363	212	12	.	.	PUNCT
ejpam-5363	213	1	j.	j.	PROPN
ejpam-5363	213	2	pure	pure	PROPN
ejpam-5363	213	3	appl	appl	PROPN
ejpam-5363	213	4	.	.	PROPN
ejpam-5363	213	5	math	math	PROPN
ejpam-5363	213	6	,	,	PUNCT
ejpam-5363	213	7	17	17	NUM
ejpam-5363	213	8	(	(	PUNCT
ejpam-5363	213	9	4	4	NUM
ejpam-5363	213	10	)	)	PUNCT
ejpam-5363	213	11	(	(	PUNCT
ejpam-5363	213	12	2024	2024	NUM
ejpam-5363	213	13	)	)	PUNCT
ejpam-5363	213	14	,	,	PUNCT
ejpam-5363	213	15	2812	2812	NUM
ejpam-5363	213	16	-	-	SYM
ejpam-5363	213	17	2827	2827	NUM
ejpam-5363	213	18	2823	2823	NUM
ejpam-5363	213	19	fig	fig	NOUN
ejpam-5363	213	20	.	.	PUNCT
ejpam-5363	214	1	2	2	NUM
ejpam-5363	214	2	:	:	PUNCT
ejpam-5363	214	3	plot	plot	NOUN
ejpam-5363	214	4	of	of	ADP
ejpam-5363	214	5	problem	problem	NOUN
ejpam-5363	214	6	2	2	NUM
ejpam-5363	214	7	for	for	ADP
ejpam-5363	214	8	the	the	DET
ejpam-5363	214	9	exact	exact	ADJ
ejpam-5363	214	10	and	and	CCONJ
ejpam-5363	214	11	approximate	approximate	ADJ
ejpam-5363	214	12	solutions	solution	NOUN
ejpam-5363	214	13	by	by	ADP
ejpam-5363	214	14	madm	madm	NOUN
ejpam-5363	214	15	,	,	PUNCT
ejpam-5363	214	16	and	and	CCONJ
ejpam-5363	214	17	ahpmtm	ahpmtm	ADJ
ejpam-5363	214	18	.	.	PUNCT
ejpam-5363	215	1	table	table	NOUN
ejpam-5363	215	2	1	1	NUM
ejpam-5363	215	3	:	:	PUNCT
ejpam-5363	215	4	the	the	DET
ejpam-5363	215	5	absolute	absolute	ADJ
ejpam-5363	215	6	error	error	NOUN
ejpam-5363	215	7	of	of	ADP
ejpam-5363	215	8	testing	testing	NOUN
ejpam-5363	215	9	problem	problem	NOUN
ejpam-5363	215	10	1	1	NUM
ejpam-5363	215	11	by	by	ADP
ejpam-5363	215	12	using	use	VERB
ejpam-5363	215	13	madm	madm	NOUN
ejpam-5363	215	14	and	and	CCONJ
ejpam-5363	215	15	ahpmtm	ahpmtm	PROPN
ejpam-5363	215	16	t	t	PROPN
ejpam-5363	215	17	x	x	SYM
ejpam-5363	215	18	ar	ar	PROPN
ejpam-5363	215	19	of	of	ADP
ejpam-5363	215	20	madm	madm	PROPN
ejpam-5363	215	21	ar	ar	PROPN
ejpam-5363	215	22	of	of	ADP
ejpam-5363	215	23	ahpmtm	ahpmtm	PROPN
ejpam-5363	215	24	0.0	0.0	NUM
ejpam-5363	215	25	0.0	0.0	NUM
ejpam-5363	215	26	0.0	0.0	NUM
ejpam-5363	215	27	0.0	0.0	NUM
ejpam-5363	215	28	0.1	0.1	NUM
ejpam-5363	215	29	0.1	0.1	NUM
ejpam-5363	215	30	0.0000085232	0.0000085232	NUM
ejpam-5363	215	31	2.672×	2.672×	NUM
ejpam-5363	215	32	10−7	10−7	NUM
ejpam-5363	215	33	0.2	0.2	NUM
ejpam-5363	215	34	0.2	0.2	NUM
ejpam-5363	215	35	0.0000123952	0.0000123952	NUM
ejpam-5363	215	36	0.054×	0.054×	PROPN
ejpam-5363	215	37	10−7	10−7	NUM
ejpam-5363	215	38	0.3	0.3	NUM
ejpam-5363	215	39	0.3	0.3	NUM
ejpam-5363	215	40	0.0007418025	0.0007418025	NUM
ejpam-5363	215	41	0.0000065142	0.0000065142	NUM
ejpam-5363	215	42	0.4	0.4	NUM
ejpam-5363	215	43	0.4	0.4	NUM
ejpam-5363	215	44	0.0009021720	0.0009021720	NUM
ejpam-5363	215	45	0.0000096325	0.0000096325	NUM
ejpam-5363	215	46	0.5	0.5	NUM
ejpam-5363	215	47	0.5	0.5	NUM
ejpam-5363	215	48	0.0006500430	0.0006500430	NUM
ejpam-5363	215	49	0.0000654120	0.0000654120	NUM
ejpam-5363	215	50	0.6	0.6	NUM
ejpam-5363	215	51	0.6	0.6	NUM
ejpam-5363	215	52	0.0006548526	0.0006548526	NUM
ejpam-5363	215	53	0.0000951019	0.0000951019	NUM
ejpam-5363	215	54	0.7	0.7	NUM
ejpam-5363	215	55	0.7	0.7	NUM
ejpam-5363	215	56	0.0002540567	0.0002540567	NUM
ejpam-5363	215	57	0.0000254075	0.0000254075	NUM
ejpam-5363	215	58	0.8	0.8	NUM
ejpam-5363	215	59	0.8	0.8	NUM
ejpam-5363	215	60	0.0009871258	0.0009871258	NUM
ejpam-5363	215	61	0.0000654987	0.0000654987	NUM
ejpam-5363	215	62	0.9	0.9	NUM
ejpam-5363	215	63	0.9	0.9	NUM
ejpam-5363	215	64	0.0009602581	0.0009602581	NUM
ejpam-5363	215	65	0.0000369025	0.0000369025	NUM
ejpam-5363	215	66	1.0	1.0	NUM
ejpam-5363	215	67	1.0	1.0	NUM
ejpam-5363	215	68	0.0	0.0	NUM
ejpam-5363	215	69	0.0	0.0	NUM
ejpam-5363	215	70	cedure	cedure	NOUN
ejpam-5363	215	71	with	with	ADP
ejpam-5363	215	72	the	the	DET
ejpam-5363	215	73	mohand	mohand	NOUN
ejpam-5363	215	74	transform	transform	NOUN
ejpam-5363	215	75	to	to	PART
ejpam-5363	215	76	accelerate	accelerate	VERB
ejpam-5363	215	77	he	he	PRON
ejpam-5363	215	78	’s	’	VERB
ejpam-5363	215	79	polynomials	polynomial	NOUN
ejpam-5363	215	80	.	.	PUNCT
ejpam-5363	216	1	the	the	DET
ejpam-5363	216	2	accelerated	accelerate	VERB
ejpam-5363	216	3	he	he	PRON
ejpam-5363	216	4	’s	’	VERB
ejpam-5363	216	5	polynomials	polynomial	NOUN
ejpam-5363	216	6	improve	improve	VERB
ejpam-5363	216	7	the	the	DET
ejpam-5363	216	8	proposed	propose	VERB
ejpam-5363	216	9	method	method	NOUN
ejpam-5363	216	10	’s	’s	PART
ejpam-5363	216	11	convergence	convergence	NOUN
ejpam-5363	216	12	.	.	PUNCT
ejpam-5363	217	1	the	the	DET
ejpam-5363	217	2	testing	testing	NOUN
ejpam-5363	217	3	problems	problem	NOUN
ejpam-5363	217	4	showed	show	VERB
ejpam-5363	217	5	references	reference	NOUN
ejpam-5363	217	6	2824	2824	NUM
ejpam-5363	217	7	table	table	NOUN
ejpam-5363	217	8	2	2	NUM
ejpam-5363	217	9	:	:	PUNCT
ejpam-5363	217	10	the	the	DET
ejpam-5363	217	11	absolute	absolute	ADJ
ejpam-5363	217	12	error	error	NOUN
ejpam-5363	217	13	of	of	ADP
ejpam-5363	217	14	testing	testing	NOUN
ejpam-5363	217	15	problem	problem	NOUN
ejpam-5363	217	16	2	2	NUM
ejpam-5363	217	17	by	by	ADP
ejpam-5363	217	18	using	use	VERB
ejpam-5363	217	19	madm	madm	NOUN
ejpam-5363	217	20	and	and	CCONJ
ejpam-5363	217	21	ahpmtm	ahpmtm	PROPN
ejpam-5363	217	22	t	t	PROPN
ejpam-5363	217	23	x	x	SYM
ejpam-5363	217	24	ar	ar	PROPN
ejpam-5363	217	25	of	of	ADP
ejpam-5363	217	26	madm	madm	PROPN
ejpam-5363	217	27	ar	ar	PROPN
ejpam-5363	217	28	of	of	ADP
ejpam-5363	217	29	ahpmtm	ahpmtm	PROPN
ejpam-5363	217	30	0.0	0.0	NUM
ejpam-5363	217	31	0.0	0.0	NUM
ejpam-5363	217	32	0.0	0.0	NUM
ejpam-5363	217	33	0.0	0.0	NUM
ejpam-5363	217	34	0.1	0.1	NUM
ejpam-5363	217	35	0.1	0.1	NUM
ejpam-5363	217	36	0.0000038259	0.0000038259	NUM
ejpam-5363	218	1	3.19×	3.19×	NUM
ejpam-5363	218	2	10−8	10−8	NUM
ejpam-5363	218	3	0.2	0.2	NUM
ejpam-5363	218	4	0.2	0.2	NUM
ejpam-5363	218	5	0.0000555400	0.0000555400	NUM
ejpam-5363	219	1	4.889×	4.889×	NUM
ejpam-5363	219	2	10−7	10−7	NUM
ejpam-5363	219	3	0.3	0.3	NUM
ejpam-5363	219	4	0.3	0.3	NUM
ejpam-5363	219	5	0.0002511656	0.0002511656	NUM
ejpam-5363	219	6	0.0000023462	0.0000023462	NUM
ejpam-5363	220	1	0.4	0.4	NUM
ejpam-5363	220	2	0.4	0.4	NUM
ejpam-5363	220	3	0.0006948186	0.0006948186	NUM
ejpam-5363	220	4	0.0000068870	0.0000068870	NUM
ejpam-5363	220	5	0.5	0.5	NUM
ejpam-5363	220	6	0.5	0.5	NUM
ejpam-5363	220	7	0.0014439690	0.0014439690	NUM
ejpam-5363	220	8	0.0000151782	0.0000151782	NUM
ejpam-5363	220	9	0.6	0.6	NUM
ejpam-5363	220	10	0.6	0.6	NUM
ejpam-5363	220	11	0.0024475200	0.0024475200	NUM
ejpam-5363	221	1	0.0000272779	0.0000272779	NUM
ejpam-5363	221	2	0.7	0.7	NUM
ejpam-5363	221	3	0.7	0.7	NUM
ejpam-5363	221	4	0.0034758120	0.0034758120	NUM
ejpam-5363	221	5	0.0000410602	0.0000410602	NUM
ejpam-5363	221	6	0.8	0.8	NUM
ejpam-5363	221	7	0.8	0.8	NUM
ejpam-5363	221	8	0.0040415190	0.0040415190	NUM
ejpam-5363	221	9	0.0000505910	0.0000505910	NUM
ejpam-5363	221	10	0.9	0.9	NUM
ejpam-5363	221	11	0.9	0.9	NUM
ejpam-5363	221	12	0.0033103111	0.0033103111	NUM
ejpam-5363	221	13	0.0000438964	0.0000438964	NUM
ejpam-5363	221	14	1.0	1.0	NUM
ejpam-5363	221	15	1.0	1.0	NUM
ejpam-5363	221	16	0.0	0.0	NUM
ejpam-5363	221	17	0.0	0.0	NUM
ejpam-5363	221	18	that	that	PRON
ejpam-5363	221	19	the	the	DET
ejpam-5363	221	20	ahpmtm	ahpmtm	ADJ
ejpam-5363	221	21	method	method	NOUN
ejpam-5363	221	22	provided	provide	VERB
ejpam-5363	221	23	the	the	DET
ejpam-5363	221	24	exact	exact	ADJ
ejpam-5363	221	25	solution	solution	NOUN
ejpam-5363	221	26	,	,	PUNCT
ejpam-5363	221	27	while	while	SCONJ
ejpam-5363	221	28	the	the	DET
ejpam-5363	221	29	madm	madm	NOUN
ejpam-5363	221	30	provided	provide	VERB
ejpam-5363	221	31	a	a	DET
ejpam-5363	221	32	series	series	NOUN
ejpam-5363	221	33	-	-	PUNCT
ejpam-5363	221	34	form	form	NOUN
ejpam-5363	221	35	solution	solution	NOUN
ejpam-5363	221	36	that	that	PRON
ejpam-5363	221	37	converged	converge	VERB
ejpam-5363	221	38	to	to	ADP
ejpam-5363	221	39	the	the	DET
ejpam-5363	221	40	exact	exact	ADJ
ejpam-5363	221	41	solution	solution	NOUN
ejpam-5363	221	42	.	.	PUNCT
ejpam-5363	222	1	both	both	DET
ejpam-5363	222	2	table	table	NOUN
ejpam-5363	222	3	values	value	NOUN
ejpam-5363	222	4	evaluated	evaluate	VERB
ejpam-5363	222	5	up	up	ADP
ejpam-5363	222	6	to	to	PART
ejpam-5363	222	7	three	three	NUM
ejpam-5363	222	8	terms	term	NOUN
ejpam-5363	222	9	of	of	ADP
ejpam-5363	222	10	the	the	DET
ejpam-5363	222	11	proposed	propose	VERB
ejpam-5363	222	12	two	two	NUM
ejpam-5363	222	13	methods	method	NOUN
ejpam-5363	222	14	.	.	PUNCT
ejpam-5363	223	1	overall	overall	ADV
ejpam-5363	223	2	,	,	PUNCT
ejpam-5363	223	3	it	it	PRON
ejpam-5363	223	4	is	be	AUX
ejpam-5363	223	5	concluded	conclude	VERB
ejpam-5363	223	6	that	that	SCONJ
ejpam-5363	223	7	the	the	DET
ejpam-5363	223	8	ahpmtm	ahpmtm	PROPN
ejpam-5363	223	9	has	have	VERB
ejpam-5363	223	10	a	a	DET
ejpam-5363	223	11	large	large	ADJ
ejpam-5363	223	12	computational	computational	ADJ
ejpam-5363	223	13	procedure	procedure	NOUN
ejpam-5363	223	14	but	but	CCONJ
ejpam-5363	223	15	has	have	VERB
ejpam-5363	223	16	a	a	DET
ejpam-5363	223	17	higher	high	ADJ
ejpam-5363	223	18	rate	rate	NOUN
ejpam-5363	223	19	of	of	ADP
ejpam-5363	223	20	convergence	convergence	NOUN
ejpam-5363	223	21	as	as	SCONJ
ejpam-5363	223	22	compared	compare	VERB
ejpam-5363	223	23	to	to	ADP
ejpam-5363	223	24	madm	madm	NOUN
ejpam-5363	223	25	.	.	PUNCT
ejpam-5363	224	1	in	in	ADP
ejpam-5363	224	2	future	future	ADJ
ejpam-5363	224	3	work	work	NOUN
ejpam-5363	224	4	,	,	PUNCT
ejpam-5363	224	5	we	we	PRON
ejpam-5363	224	6	will	will	AUX
ejpam-5363	224	7	attempt	attempt	VERB
ejpam-5363	224	8	to	to	PART
ejpam-5363	224	9	provide	provide	VERB
ejpam-5363	224	10	a	a	DET
ejpam-5363	224	11	theoretical	theoretical	ADJ
ejpam-5363	224	12	study	study	NOUN
ejpam-5363	224	13	of	of	ADP
ejpam-5363	224	14	the	the	DET
ejpam-5363	224	15	convergence	convergence	NOUN
ejpam-5363	224	16	and	and	CCONJ
ejpam-5363	224	17	stability	stability	NOUN
ejpam-5363	224	18	of	of	ADP
ejpam-5363	224	19	the	the	DET
ejpam-5363	224	20	presented	present	VERB
ejpam-5363	224	21	methods	method	NOUN
ejpam-5363	224	22	in	in	ADP
ejpam-5363	224	23	some	some	DET
ejpam-5363	224	24	depth	depth	NOUN
ejpam-5363	224	25	,	,	PUNCT
ejpam-5363	224	26	as	as	ADV
ejpam-5363	224	27	well	well	ADV
ejpam-5363	224	28	as	as	ADP
ejpam-5363	224	29	to	to	PART
ejpam-5363	224	30	apply	apply	VERB
ejpam-5363	224	31	this	this	DET
ejpam-5363	224	32	study	study	NOUN
ejpam-5363	224	33	to	to	ADP
ejpam-5363	224	34	problems	problem	NOUN
ejpam-5363	224	35	with	with	ADP
ejpam-5363	224	36	industrial	industrial	ADJ
ejpam-5363	224	37	,	,	PUNCT
ejpam-5363	224	38	biological	biological	ADJ
ejpam-5363	224	39	,	,	PUNCT
ejpam-5363	224	40	or	or	CCONJ
ejpam-5363	224	41	other	other	ADJ
ejpam-5363	224	42	applications	application	NOUN
ejpam-5363	224	43	and	and	CCONJ
ejpam-5363	224	44	to	to	ADP
ejpam-5363	224	45	more	more	ADV
ejpam-5363	224	46	complex	complex	ADJ
ejpam-5363	224	47	systems	system	NOUN
ejpam-5363	224	48	.	.	PUNCT
ejpam-5363	225	1	acknowledgements	acknowledgement	NOUN
ejpam-5363	225	2	the	the	DET
ejpam-5363	225	3	researchers	researcher	NOUN
ejpam-5363	225	4	wish	wish	VERB
ejpam-5363	225	5	to	to	PART
ejpam-5363	225	6	extend	extend	VERB
ejpam-5363	225	7	their	their	PRON
ejpam-5363	225	8	sincere	sincere	ADJ
ejpam-5363	225	9	gratitude	gratitude	NOUN
ejpam-5363	225	10	to	to	ADP
ejpam-5363	225	11	the	the	DET
ejpam-5363	225	12	deanship	deanship	NOUN
ejpam-5363	225	13	of	of	ADP
ejpam-5363	225	14	scientific	scientific	ADJ
ejpam-5363	225	15	research	research	NOUN
ejpam-5363	225	16	at	at	ADP
ejpam-5363	225	17	the	the	DET
ejpam-5363	225	18	islamic	islamic	PROPN
ejpam-5363	225	19	university	university	PROPN
ejpam-5363	225	20	of	of	ADP
ejpam-5363	225	21	madinah	madinah	PROPN
ejpam-5363	225	22	for	for	ADP
ejpam-5363	225	23	the	the	DET
ejpam-5363	225	24	support	support	NOUN
ejpam-5363	225	25	provided	provide	VERB
ejpam-5363	225	26	to	to	ADP
ejpam-5363	225	27	the	the	DET
ejpam-5363	225	28	postpublishing	postpublishe	VERB
ejpam-5363	225	29	program	program	NOUN
ejpam-5363	225	30	.	.	PUNCT
ejpam-5363	226	1	references	reference	NOUN
ejpam-5363	226	2	[	[	X
ejpam-5363	226	3	1	1	NUM
ejpam-5363	226	4	]	]	PUNCT
ejpam-5363	226	5	m.	m.	NOUN
ejpam-5363	226	6	adel	adel	PROPN
ejpam-5363	226	7	,	,	PUNCT
ejpam-5363	226	8	m.	m.	NOUN
ejpam-5363	226	9	m.	m.	NOUN
ejpam-5363	226	10	khader	khader	PROPN
ejpam-5363	226	11	,	,	PUNCT
ejpam-5363	226	12	h.	h.	PROPN
ejpam-5363	226	13	ahmad	ahmad	PROPN
ejpam-5363	226	14	,	,	PUNCT
ejpam-5363	226	15	and	and	CCONJ
ejpam-5363	226	16	t.	t.	PROPN
ejpam-5363	226	17	a.	a.	NOUN
ejpam-5363	226	18	assiri	assiri	PROPN
ejpam-5363	226	19	.	.	PUNCT
ejpam-5363	227	1	approximate	approximate	ADJ
ejpam-5363	227	2	analytical	analytical	ADJ
ejpam-5363	227	3	solutions	solution	NOUN
ejpam-5363	227	4	for	for	ADP
ejpam-5363	227	5	the	the	DET
ejpam-5363	227	6	blood	blood	NOUN
ejpam-5363	227	7	ethanol	ethanol	NOUN
ejpam-5363	227	8	concentration	concentration	NOUN
ejpam-5363	227	9	system	system	NOUN
ejpam-5363	227	10	and	and	CCONJ
ejpam-5363	227	11	predator	predator	NOUN
ejpam-5363	227	12	-	-	PUNCT
ejpam-5363	227	13	prey	prey	NOUN
ejpam-5363	227	14	equations	equation	NOUN
ejpam-5363	227	15	by	by	ADP
ejpam-5363	227	16	using	use	VERB
ejpam-5363	227	17	variational	variational	ADJ
ejpam-5363	227	18	iteration	iteration	NOUN
ejpam-5363	227	19	method	method	NOUN
ejpam-5363	227	20	.	.	PUNCT
ejpam-5363	228	1	aims	aim	VERB
ejpam-5363	228	2	mathematics	mathematic	NOUN
ejpam-5363	228	3	,	,	PUNCT
ejpam-5363	228	4	8(8):19083–19096	8(8):19083–19096	PROPN
ejpam-5363	228	5	,	,	PUNCT
ejpam-5363	228	6	2023	2023	NUM
ejpam-5363	228	7	.	.	PUNCT
ejpam-5363	229	1	[	[	X
ejpam-5363	229	2	2	2	NUM
ejpam-5363	229	3	]	]	PUNCT
ejpam-5363	229	4	m.	m.	NOUN
ejpam-5363	229	5	adel	adel	PROPN
ejpam-5363	229	6	,	,	PUNCT
ejpam-5363	229	7	m.	m.	NOUN
ejpam-5363	229	8	m.	m.	NOUN
ejpam-5363	229	9	khader	khader	PROPN
ejpam-5363	229	10	,	,	PUNCT
ejpam-5363	229	11	t.	t.	PROPN
ejpam-5363	229	12	a.	a.	NOUN
ejpam-5363	229	13	assiri	assiri	PROPN
ejpam-5363	229	14	,	,	PUNCT
ejpam-5363	229	15	and	and	CCONJ
ejpam-5363	229	16	w.	w.	PROPN
ejpam-5363	229	17	kaleel	kaleel	PROPN
ejpam-5363	229	18	.	.	PUNCT
ejpam-5363	230	1	numerical	numerical	PROPN
ejpam-5363	230	2	simulation	simulation	PROPN
ejpam-5363	230	3	for	for	ADP
ejpam-5363	230	4	covid-19	covid-19	PROPN
ejpam-5363	230	5	model	model	NOUN
ejpam-5363	230	6	using	use	VERB
ejpam-5363	230	7	a	a	DET
ejpam-5363	230	8	multidomain	multidomain	ADJ
ejpam-5363	230	9	spectral	spectral	ADJ
ejpam-5363	230	10	relaxation	relaxation	NOUN
ejpam-5363	230	11	technique	technique	NOUN
ejpam-5363	230	12	.	.	PUNCT
ejpam-5363	231	1	symmetry	symmetry	NOUN
ejpam-5363	231	2	,	,	PUNCT
ejpam-5363	231	3	15:1–15	15:1–15	NUM
ejpam-5363	231	4	,	,	PUNCT
ejpam-5363	231	5	2023	2023	NUM
ejpam-5363	231	6	.	.	PUNCT
ejpam-5363	232	1	[	[	X
ejpam-5363	232	2	3	3	NUM
ejpam-5363	232	3	]	]	PUNCT
ejpam-5363	232	4	a.	a.	NOUN
ejpam-5363	232	5	a.	a.	PROPN
ejpam-5363	232	6	alderremy	alderremy	PROPN
ejpam-5363	232	7	,	,	PUNCT
ejpam-5363	232	8	s.	s.	PROPN
ejpam-5363	232	9	saleem	saleem	PROPN
ejpam-5363	232	10	,	,	PUNCT
ejpam-5363	232	11	and	and	CCONJ
ejpam-5363	232	12	f.	f.	PROPN
ejpam-5363	232	13	a.	a.	PROPN
ejpam-5363	232	14	hendi	hendi	PROPN
ejpam-5363	232	15	.	.	PUNCT
ejpam-5363	233	1	a	a	DET
ejpam-5363	233	2	comparative	comparative	ADJ
ejpam-5363	233	3	analysis	analysis	NOUN
ejpam-5363	233	4	for	for	ADP
ejpam-5363	233	5	the	the	DET
ejpam-5363	233	6	solution	solution	NOUN
ejpam-5363	233	7	of	of	ADP
ejpam-5363	233	8	nonlinear	nonlinear	ADJ
ejpam-5363	233	9	burger	burger	NOUN
ejpam-5363	233	10	’s	’s	PART
ejpam-5363	233	11	equation	equation	NOUN
ejpam-5363	233	12	.	.	PUNCT
ejpam-5363	234	1	journal	journal	NOUN
ejpam-5363	234	2	of	of	ADP
ejpam-5363	234	3	integrative	integrative	ADJ
ejpam-5363	234	4	neuroscience	neuroscience	NOUN
ejpam-5363	234	5	,	,	PUNCT
ejpam-5363	234	6	17:503	17:503	NUM
ejpam-5363	234	7	–	–	PUNCT
ejpam-5363	234	8	523	523	NUM
ejpam-5363	234	9	,	,	PUNCT
ejpam-5363	234	10	2018	2018	NUM
ejpam-5363	234	11	.	.	PUNCT
ejpam-5363	235	1	references	reference	NOUN
ejpam-5363	235	2	2825	2825	NUM
ejpam-5363	236	1	[	[	X
ejpam-5363	236	2	4	4	X
ejpam-5363	236	3	]	]	PUNCT
ejpam-5363	236	4	m.	m.	NOUN
ejpam-5363	236	5	a.	a.	NOUN
ejpam-5363	236	6	asadi	asadi	PROPN
ejpam-5363	236	7	,	,	PUNCT
ejpam-5363	236	8	f.	f.	PROPN
ejpam-5363	236	9	salehi	salehi	PROPN
ejpam-5363	236	10	,	,	PUNCT
ejpam-5363	236	11	s.	s.	PROPN
ejpam-5363	236	12	t.	t.	PROPN
ejpam-5363	236	13	mohyud	mohyud	PROPN
ejpam-5363	236	14	-	-	PUNCT
ejpam-5363	236	15	din	din	NOUN
ejpam-5363	236	16	,	,	PUNCT
ejpam-5363	236	17	and	and	CCONJ
ejpam-5363	236	18	m.	m.	PROPN
ejpam-5363	236	19	m.	m.	PROPN
ejpam-5363	236	20	hosseini	hosseini	PROPN
ejpam-5363	236	21	.	.	PROPN
ejpam-5363	237	1	modified	modify	VERB
ejpam-5363	237	2	homotopy	homotopy	PROPN
ejpam-5363	237	3	perturbation	perturbation	NOUN
ejpam-5363	237	4	method	method	NOUN
ejpam-5363	237	5	for	for	ADP
ejpam-5363	237	6	stiff	stiff	ADJ
ejpam-5363	237	7	delay	delay	NOUN
ejpam-5363	237	8	differential	differential	ADJ
ejpam-5363	237	9	equations	equation	NOUN
ejpam-5363	237	10	(	(	PUNCT
ejpam-5363	237	11	ddes	ddes	PROPN
ejpam-5363	237	12	)	)	PUNCT
ejpam-5363	237	13	.	.	PUNCT
ejpam-5363	238	1	int	int	NOUN
ejpam-5363	238	2	.	.	PUNCT
ejpam-5363	239	1	j.	j.	PROPN
ejpam-5363	239	2	phys	phys	PROPN
ejpam-5363	239	3	.	.	PUNCT
ejpam-5363	240	1	sci	sci	PROPN
ejpam-5363	240	2	.	.	PROPN
ejpam-5363	240	3	,	,	PUNCT
ejpam-5363	240	4	7:1025–1034	7:1025–1034	NUM
ejpam-5363	240	5	,	,	PUNCT
ejpam-5363	240	6	2012	2012	NUM
ejpam-5363	240	7	.	.	PUNCT
ejpam-5363	241	1	[	[	X
ejpam-5363	241	2	5	5	X
ejpam-5363	241	3	]	]	X
ejpam-5363	241	4	d.	d.	PROPN
ejpam-5363	241	5	baleanu	baleanu	PROPN
ejpam-5363	241	6	,	,	PUNCT
ejpam-5363	241	7	b.	b.	PROPN
ejpam-5363	241	8	agheli	agheli	PROPN
ejpam-5363	241	9	,	,	PUNCT
ejpam-5363	241	10	and	and	CCONJ
ejpam-5363	241	11	r.	r.	PROPN
ejpam-5363	241	12	darzi	darzi	NOUN
ejpam-5363	241	13	.	.	PUNCT
ejpam-5363	242	1	an	an	DET
ejpam-5363	242	2	optimal	optimal	ADJ
ejpam-5363	242	3	method	method	NOUN
ejpam-5363	242	4	for	for	ADP
ejpam-5363	242	5	approximating	approximate	VERB
ejpam-5363	242	6	the	the	DET
ejpam-5363	242	7	delay	delay	NOUN
ejpam-5363	242	8	differential	differential	ADJ
ejpam-5363	242	9	equations	equation	NOUN
ejpam-5363	242	10	of	of	ADP
ejpam-5363	242	11	non	non	ADJ
ejpam-5363	242	12	-	-	ADJ
ejpam-5363	242	13	integer	integer	ADJ
ejpam-5363	242	14	order	order	NOUN
ejpam-5363	242	15	.	.	PUNCT
ejpam-5363	243	1	advances	advance	NOUN
ejpam-5363	243	2	in	in	ADP
ejpam-5363	243	3	difference	difference	NOUN
ejpam-5363	243	4	equations	equation	NOUN
ejpam-5363	243	5	,	,	PUNCT
ejpam-5363	243	6	2018:1–15	2018:1–15	NUM
ejpam-5363	243	7	,	,	PUNCT
ejpam-5363	243	8	2018	2018	NUM
ejpam-5363	243	9	.	.	PUNCT
ejpam-5363	244	1	[	[	X
ejpam-5363	244	2	6	6	NUM
ejpam-5363	244	3	]	]	PUNCT
ejpam-5363	244	4	g.	g.	PROPN
ejpam-5363	244	5	a.	a.	PROPN
ejpam-5363	244	6	bocharov	bocharov	PROPN
ejpam-5363	244	7	and	and	CCONJ
ejpam-5363	244	8	f.	f.	PROPN
ejpam-5363	244	9	a.	a.	PROPN
ejpam-5363	244	10	rihan	rihan	PROPN
ejpam-5363	244	11	.	.	PUNCT
ejpam-5363	245	1	numerical	numerical	ADJ
ejpam-5363	245	2	modeling	modeling	NOUN
ejpam-5363	245	3	in	in	ADP
ejpam-5363	245	4	biosciences	bioscience	NOUN
ejpam-5363	245	5	using	use	VERB
ejpam-5363	245	6	delay	delay	NOUN
ejpam-5363	245	7	differential	differential	ADJ
ejpam-5363	245	8	equations	equation	NOUN
ejpam-5363	245	9	.	.	PUNCT
ejpam-5363	246	1	journal	journal	NOUN
ejpam-5363	246	2	of	of	ADP
ejpam-5363	246	3	computational	computational	ADJ
ejpam-5363	246	4	and	and	CCONJ
ejpam-5363	246	5	applied	applied	ADJ
ejpam-5363	246	6	mathematics	mathematic	NOUN
ejpam-5363	246	7	,	,	PUNCT
ejpam-5363	246	8	125:183	125:183	NUM
ejpam-5363	246	9	–	–	PUNCT
ejpam-5363	246	10	199	199	NUM
ejpam-5363	246	11	,	,	PUNCT
ejpam-5363	246	12	2000	2000	NUM
ejpam-5363	246	13	.	.	PUNCT
ejpam-5363	247	1	[	[	X
ejpam-5363	247	2	7	7	X
ejpam-5363	247	3	]	]	X
ejpam-5363	247	4	n.	n.	PROPN
ejpam-5363	247	5	dalir	dalir	PROPN
ejpam-5363	247	6	.	.	PUNCT
ejpam-5363	248	1	modified	modify	VERB
ejpam-5363	248	2	decomposition	decomposition	NOUN
ejpam-5363	248	3	method	method	NOUN
ejpam-5363	248	4	with	with	ADP
ejpam-5363	248	5	new	new	ADJ
ejpam-5363	248	6	inverse	inverse	NOUN
ejpam-5363	248	7	differential	differential	NOUN
ejpam-5363	248	8	operators	operator	NOUN
ejpam-5363	248	9	for	for	ADP
ejpam-5363	248	10	solving	solve	VERB
ejpam-5363	248	11	singular	singular	PROPN
ejpam-5363	248	12	nonlinear	nonlinear	PROPN
ejpam-5363	248	13	ivps	ivps	PROPN
ejpam-5363	248	14	in	in	ADP
ejpam-5363	248	15	first	first	ADJ
ejpam-5363	248	16	and	and	CCONJ
ejpam-5363	248	17	second	second	ADJ
ejpam-5363	248	18	order	order	NOUN
ejpam-5363	248	19	pdes	pde	NOUN
ejpam-5363	248	20	arising	arise	VERB
ejpam-5363	248	21	in	in	ADP
ejpam-5363	248	22	fluid	fluid	ADJ
ejpam-5363	248	23	mechanics	mechanic	NOUN
ejpam-5363	248	24	.	.	PUNCT
ejpam-5363	249	1	international	international	ADJ
ejpam-5363	249	2	journal	journal	PROPN
ejpam-5363	249	3	of	of	ADP
ejpam-5363	249	4	mathematics	mathematics	PROPN
ejpam-5363	249	5	and	and	CCONJ
ejpam-5363	249	6	mathematical	mathematical	ADJ
ejpam-5363	249	7	sciences	science	NOUN
ejpam-5363	249	8	,	,	PUNCT
ejpam-5363	249	9	2014:793685	2014:793685	NUM
ejpam-5363	249	10	,	,	PUNCT
ejpam-5363	249	11	2014	2014	NUM
ejpam-5363	249	12	.	.	PUNCT
ejpam-5363	250	1	[	[	X
ejpam-5363	250	2	8	8	X
ejpam-5363	250	3	]	]	X
ejpam-5363	250	4	t.	t.	PROPN
ejpam-5363	250	5	erneux	erneux	PROPN
ejpam-5363	250	6	.	.	PROPN
ejpam-5363	251	1	applied	apply	VERB
ejpam-5363	251	2	delay	delay	NOUN
ejpam-5363	251	3	differential	differential	PROPN
ejpam-5363	251	4	equations	equation	NOUN
ejpam-5363	251	5	vol	vol	NOUN
ejpam-5363	251	6	.	.	PUNCT
ejpam-5363	252	1	3	3	X
ejpam-5363	252	2	.	.	X
ejpam-5363	252	3	springer	springer	NOUN
ejpam-5363	252	4	science	science	PROPN
ejpam-5363	252	5	business	business	NOUN
ejpam-5363	252	6	media	medium	NOUN
ejpam-5363	252	7	,	,	PUNCT
ejpam-5363	252	8	2009	2009	NUM
ejpam-5363	252	9	.	.	PUNCT
ejpam-5363	253	1	[	[	X
ejpam-5363	253	2	9	9	NUM
ejpam-5363	253	3	]	]	PUNCT
ejpam-5363	253	4	s.	s.	PROPN
ejpam-5363	253	5	e.	e.	PROPN
ejpam-5363	253	6	fadugba	fadugba	PROPN
ejpam-5363	253	7	,	,	PUNCT
ejpam-5363	253	8	j.	j.	PROPN
ejpam-5363	253	9	v.	v.	PROPN
ejpam-5363	253	10	shaalini	shaalini	PROPN
ejpam-5363	253	11	,	,	PUNCT
ejpam-5363	253	12	o.	o.	PROPN
ejpam-5363	253	13	m.	m.	PROPN
ejpam-5363	253	14	ogunmiloro	ogunmiloro	PROPN
ejpam-5363	253	15	,	,	PUNCT
ejpam-5363	253	16	j.	j.	PROPN
ejpam-5363	253	17	t.	t.	PROPN
ejpam-5363	253	18	okunlola	okunlola	PROPN
ejpam-5363	253	19	,	,	PUNCT
ejpam-5363	253	20	and	and	CCONJ
ejpam-5363	253	21	f.	f.	PROPN
ejpam-5363	253	22	h.	h.	PROPN
ejpam-5363	253	23	oyelami	oyelami	PROPN
ejpam-5363	253	24	.	.	PUNCT
ejpam-5363	254	1	analysis	analysis	NOUN
ejpam-5363	254	2	of	of	ADP
ejpam-5363	254	3	exponential	exponential	ADJ
ejpam-5363	254	4	-	-	PUNCT
ejpam-5363	254	5	polynomial	polynomial	ADJ
ejpam-5363	254	6	single	single	ADJ
ejpam-5363	254	7	-	-	PUNCT
ejpam-5363	254	8	step	step	NOUN
ejpam-5363	254	9	method	method	NOUN
ejpam-5363	254	10	for	for	ADP
ejpam-5363	254	11	singularly	singularly	ADV
ejpam-5363	254	12	perturbed	perturb	VERB
ejpam-5363	254	13	delay	delay	NOUN
ejpam-5363	254	14	differential	differential	ADJ
ejpam-5363	254	15	equations	equation	NOUN
ejpam-5363	254	16	.	.	PUNCT
ejpam-5363	255	1	in	in	ADP
ejpam-5363	255	2	journal	journal	PROPN
ejpam-5363	255	3	of	of	ADP
ejpam-5363	255	4	physics	physics	PROPN
ejpam-5363	255	5	:	:	PUNCT
ejpam-5363	255	6	conference	conference	NOUN
ejpam-5363	255	7	series	series	NOUN
ejpam-5363	255	8	,	,	PUNCT
ejpam-5363	255	9	volume	volume	NOUN
ejpam-5363	255	10	2199	2199	NUM
ejpam-5363	255	11	,	,	PUNCT
ejpam-5363	255	12	pages	page	NOUN
ejpam-5363	255	13	1–19	1–19	PROPN
ejpam-5363	255	14	,	,	PUNCT
ejpam-5363	255	15	2022	2022	NUM
ejpam-5363	255	16	.	.	PUNCT
ejpam-5363	256	1	[	[	X
ejpam-5363	256	2	10	10	NUM
ejpam-5363	256	3	]	]	PUNCT
ejpam-5363	256	4	m.	m.	NOUN
ejpam-5363	256	5	faheem	faheem	PROPN
ejpam-5363	256	6	,	,	PUNCT
ejpam-5363	256	7	a.	a.	NOUN
ejpam-5363	256	8	raza	raza	PROPN
ejpam-5363	256	9	,	,	PUNCT
ejpam-5363	256	10	and	and	CCONJ
ejpam-5363	256	11	a.	a.	PROPN
ejpam-5363	256	12	khan	khan	PROPN
ejpam-5363	256	13	.	.	PUNCT
ejpam-5363	257	1	collocation	collocation	NOUN
ejpam-5363	257	2	methods	method	NOUN
ejpam-5363	257	3	based	base	VERB
ejpam-5363	257	4	on	on	ADP
ejpam-5363	257	5	gegenbauer	gegenbauer	NOUN
ejpam-5363	257	6	and	and	CCONJ
ejpam-5363	257	7	bernoulli	bernoulli	NOUN
ejpam-5363	257	8	wavelets	wavelet	NOUN
ejpam-5363	257	9	for	for	ADP
ejpam-5363	257	10	solving	solve	VERB
ejpam-5363	257	11	neutral	neutral	ADJ
ejpam-5363	257	12	delay	delay	NOUN
ejpam-5363	257	13	differential	differential	ADJ
ejpam-5363	257	14	equations	equation	NOUN
ejpam-5363	257	15	.	.	PUNCT
ejpam-5363	258	1	mathematics	mathematic	NOUN
ejpam-5363	258	2	and	and	CCONJ
ejpam-5363	258	3	computers	computer	NOUN
ejpam-5363	258	4	in	in	ADP
ejpam-5363	258	5	simulation	simulation	NOUN
ejpam-5363	258	6	,	,	PUNCT
ejpam-5363	258	7	180:72–92	180:72–92	NUM
ejpam-5363	258	8	,	,	PUNCT
ejpam-5363	258	9	2021	2021	NUM
ejpam-5363	258	10	.	.	PUNCT
ejpam-5363	259	1	[	[	X
ejpam-5363	259	2	11	11	NUM
ejpam-5363	259	3	]	]	X
ejpam-5363	259	4	u.	u.	PROPN
ejpam-5363	259	5	farooq	farooq	PROPN
ejpam-5363	259	6	,	,	PUNCT
ejpam-5363	259	7	h.	h.	PROPN
ejpam-5363	259	8	khan	khan	PROPN
ejpam-5363	259	9	,	,	PUNCT
ejpam-5363	259	10	d.	d.	PROPN
ejpam-5363	259	11	baleanu	baleanu	PROPN
ejpam-5363	259	12	,	,	PUNCT
ejpam-5363	259	13	and	and	CCONJ
ejpam-5363	259	14	m.	m.	PROPN
ejpam-5363	259	15	arif	arif	PROPN
ejpam-5363	259	16	.	.	PUNCT
ejpam-5363	260	1	numerical	numerical	PROPN
ejpam-5363	260	2	solutions	solution	NOUN
ejpam-5363	260	3	of	of	ADP
ejpam-5363	260	4	fractional	fractional	ADJ
ejpam-5363	260	5	delay	delay	NOUN
ejpam-5363	260	6	differential	differential	NOUN
ejpam-5363	260	7	equations	equation	NOUN
ejpam-5363	260	8	using	use	VERB
ejpam-5363	260	9	chebyshev	chebyshev	PROPN
ejpam-5363	260	10	wavelet	wavelet	NOUN
ejpam-5363	260	11	method	method	NOUN
ejpam-5363	260	12	.	.	PUNCT
ejpam-5363	261	1	computational	computational	ADJ
ejpam-5363	261	2	and	and	CCONJ
ejpam-5363	261	3	applied	applied	ADJ
ejpam-5363	261	4	mathematics	mathematic	NOUN
ejpam-5363	261	5	,	,	PUNCT
ejpam-5363	261	6	38:1–13	38:1–13	NUM
ejpam-5363	261	7	,	,	PUNCT
ejpam-5363	261	8	2019	2019	NUM
ejpam-5363	261	9	.	.	PUNCT
ejpam-5363	262	1	[	[	X
ejpam-5363	262	2	12	12	NUM
ejpam-5363	262	3	]	]	X
ejpam-5363	262	4	f.	f.	PROPN
ejpam-5363	262	5	ismail	ismail	PROPN
ejpam-5363	262	6	,	,	PUNCT
ejpam-5363	262	7	r.	r.	PROPN
ejpam-5363	262	8	a.	a.	PROPN
ejpam-5363	262	9	al	al	PROPN
ejpam-5363	262	10	-	-	PUNCT
ejpam-5363	262	11	khasawneh	khasawneh	PROPN
ejpam-5363	262	12	,	,	PUNCT
ejpam-5363	262	13	and	and	CCONJ
ejpam-5363	262	14	m.	m.	PROPN
ejpam-5363	262	15	suleiman	suleiman	PROPN
ejpam-5363	262	16	.	.	PUNCT
ejpam-5363	263	1	numerical	numerical	ADJ
ejpam-5363	263	2	treatment	treatment	NOUN
ejpam-5363	263	3	of	of	ADP
ejpam-5363	263	4	delay	delay	NOUN
ejpam-5363	263	5	differential	differential	ADJ
ejpam-5363	263	6	equations	equation	NOUN
ejpam-5363	263	7	by	by	ADP
ejpam-5363	263	8	runge	runge	NOUN
ejpam-5363	263	9	-	-	PUNCT
ejpam-5363	263	10	kutta	kutta	NOUN
ejpam-5363	263	11	method	method	NOUN
ejpam-5363	263	12	using	use	VERB
ejpam-5363	263	13	hermite	hermite	ADJ
ejpam-5363	263	14	interpolation	interpolation	NOUN
ejpam-5363	263	15	.	.	PUNCT
ejpam-5363	264	1	malaysian	malaysian	ADJ
ejpam-5363	264	2	journal	journal	PROPN
ejpam-5363	264	3	of	of	ADP
ejpam-5363	264	4	industrial	industrial	ADJ
ejpam-5363	264	5	and	and	CCONJ
ejpam-5363	264	6	applied	apply	VERB
ejpam-5363	264	7	mathematics	mathematic	NOUN
ejpam-5363	264	8	,	,	PUNCT
ejpam-5363	264	9	5:79–90	5:79–90	NUM
ejpam-5363	264	10	,	,	PUNCT
ejpam-5363	264	11	2002	2002	NUM
ejpam-5363	264	12	.	.	PUNCT
ejpam-5363	265	1	[	[	X
ejpam-5363	265	2	13	13	NUM
ejpam-5363	265	3	]	]	X
ejpam-5363	265	4	h.	h.	PROPN
ejpam-5363	265	5	jafari	jafari	PROPN
ejpam-5363	265	6	,	,	PUNCT
ejpam-5363	265	7	m.	m.	NOUN
ejpam-5363	265	8	mahmoudi	mahmoudi	NOUN
ejpam-5363	265	9	,	,	PUNCT
ejpam-5363	265	10	and	and	CCONJ
ejpam-5363	265	11	m.	m.	PROPN
ejpam-5363	265	12	h.	h.	PROPN
ejpam-5363	265	13	n.	n.	PROPN
ejpam-5363	265	14	skandari	skandari	PROPN
ejpam-5363	265	15	.	.	PUNCT
ejpam-5363	266	1	a	a	DET
ejpam-5363	266	2	new	new	ADJ
ejpam-5363	266	3	numerical	numerical	ADJ
ejpam-5363	266	4	method	method	NOUN
ejpam-5363	266	5	to	to	PART
ejpam-5363	266	6	solve	solve	VERB
ejpam-5363	266	7	pantograph	pantograph	NOUN
ejpam-5363	266	8	delay	delay	NOUN
ejpam-5363	266	9	differential	differential	ADJ
ejpam-5363	266	10	equations	equation	NOUN
ejpam-5363	266	11	with	with	ADP
ejpam-5363	266	12	convergence	convergence	NOUN
ejpam-5363	266	13	analysis	analysis	NOUN
ejpam-5363	266	14	.	.	PUNCT
ejpam-5363	267	1	advances	advance	NOUN
ejpam-5363	267	2	in	in	ADP
ejpam-5363	267	3	difference	difference	NOUN
ejpam-5363	267	4	equations	equation	NOUN
ejpam-5363	267	5	,	,	PUNCT
ejpam-5363	267	6	2021:1–12	2021:1–12	NUM
ejpam-5363	267	7	,	,	PUNCT
ejpam-5363	267	8	2021	2021	NUM
ejpam-5363	267	9	.	.	PUNCT
ejpam-5363	268	1	[	[	X
ejpam-5363	268	2	14	14	NUM
ejpam-5363	268	3	]	]	PUNCT
ejpam-5363	268	4	b.	b.	PROPN
ejpam-5363	268	5	kafash	kafash	PROPN
ejpam-5363	268	6	,	,	PUNCT
ejpam-5363	268	7	a.	a.	PROPN
ejpam-5363	268	8	delavarkhalafi	delavarkhalafi	PROPN
ejpam-5363	268	9	,	,	PUNCT
ejpam-5363	268	10	and	and	CCONJ
ejpam-5363	268	11	s.	s.	PROPN
ejpam-5363	268	12	m.	m.	PROPN
ejpam-5363	268	13	karbassi	karbassi	PROPN
ejpam-5363	268	14	.	.	PUNCT
ejpam-5363	269	1	a	a	DET
ejpam-5363	269	2	numerical	numerical	ADJ
ejpam-5363	269	3	approach	approach	NOUN
ejpam-5363	269	4	for	for	ADP
ejpam-5363	269	5	solving	solve	VERB
ejpam-5363	269	6	optimal	optimal	ADJ
ejpam-5363	269	7	control	control	NOUN
ejpam-5363	269	8	problems	problem	NOUN
ejpam-5363	269	9	using	use	VERB
ejpam-5363	269	10	the	the	DET
ejpam-5363	269	11	boubaker	boubaker	NOUN
ejpam-5363	269	12	polynomials	polynomial	NOUN
ejpam-5363	269	13	expansion	expansion	NOUN
ejpam-5363	269	14	scheme	scheme	NOUN
ejpam-5363	269	15	.	.	PUNCT
ejpam-5363	270	1	j.	j.	PROPN
ejpam-5363	270	2	interpolat	interpolat	PROPN
ejpam-5363	270	3	.	.	PUNCT
ejpam-5363	271	1	approx	approx	PROPN
ejpam-5363	271	2	.	.	PUNCT
ejpam-5363	272	1	sci	sci	PROPN
ejpam-5363	272	2	.	.	PUNCT
ejpam-5363	272	3	comput	comput	PROPN
ejpam-5363	272	4	.	.	PUNCT
ejpam-5363	272	5	,	,	PUNCT
ejpam-5363	272	6	3:1–18	3:1–18	NUM
ejpam-5363	272	7	,	,	PUNCT
ejpam-5363	272	8	2014	2014	NUM
ejpam-5363	272	9	.	.	PUNCT
ejpam-5363	273	1	[	[	X
ejpam-5363	273	2	15	15	NUM
ejpam-5363	273	3	]	]	X
ejpam-5363	273	4	y.	y.	PROPN
ejpam-5363	273	5	n.	n.	PROPN
ejpam-5363	273	6	kyrychko	kyrychko	PROPN
ejpam-5363	273	7	and	and	CCONJ
ejpam-5363	273	8	s.	s.	PROPN
ejpam-5363	273	9	j.	j.	PROPN
ejpam-5363	273	10	hogan	hogan	PROPN
ejpam-5363	273	11	.	.	PUNCT
ejpam-5363	274	1	on	on	ADP
ejpam-5363	274	2	the	the	DET
ejpam-5363	274	3	use	use	NOUN
ejpam-5363	274	4	of	of	ADP
ejpam-5363	274	5	delay	delay	NOUN
ejpam-5363	274	6	equations	equation	NOUN
ejpam-5363	274	7	in	in	ADP
ejpam-5363	274	8	engineering	engineering	NOUN
ejpam-5363	274	9	applications	application	NOUN
ejpam-5363	274	10	.	.	PUNCT
ejpam-5363	275	1	journal	journal	NOUN
ejpam-5363	275	2	of	of	ADP
ejpam-5363	275	3	vibration	vibration	NOUN
ejpam-5363	275	4	and	and	CCONJ
ejpam-5363	275	5	control	control	NOUN
ejpam-5363	275	6	,	,	PUNCT
ejpam-5363	275	7	16:943–960	16:943–960	NUM
ejpam-5363	275	8	,	,	PUNCT
ejpam-5363	275	9	2010	2010	NUM
ejpam-5363	275	10	.	.	PUNCT
ejpam-5363	276	1	references	reference	NOUN
ejpam-5363	276	2	2826	2826	NUM
ejpam-5363	277	1	[	[	X
ejpam-5363	277	2	16	16	NUM
ejpam-5363	277	3	]	]	X
ejpam-5363	277	4	c.	c.	PROPN
ejpam-5363	277	5	li	li	PROPN
ejpam-5363	277	6	,	,	PUNCT
ejpam-5363	277	7	x.	x.	PROPN
ejpam-5363	277	8	liao	liao	PROPN
ejpam-5363	277	9	,	,	PUNCT
ejpam-5363	277	10	and	and	CCONJ
ejpam-5363	277	11	k.	k.	PROPN
ejpam-5363	277	12	w.	w.	PROPN
ejpam-5363	277	13	wong	wong	PROPN
ejpam-5363	277	14	.	.	PROPN
ejpam-5363	278	1	chaotic	chaotic	ADJ
ejpam-5363	278	2	lag	lag	NOUN
ejpam-5363	278	3	synchronization	synchronization	NOUN
ejpam-5363	278	4	of	of	ADP
ejpam-5363	278	5	coupled	couple	VERB
ejpam-5363	278	6	timedelayed	timedelayed	ADJ
ejpam-5363	278	7	systems	system	NOUN
ejpam-5363	278	8	and	and	CCONJ
ejpam-5363	278	9	its	its	PRON
ejpam-5363	278	10	applications	application	NOUN
ejpam-5363	278	11	in	in	ADP
ejpam-5363	278	12	secure	secure	ADJ
ejpam-5363	278	13	communication	communication	NOUN
ejpam-5363	278	14	.	.	PUNCT
ejpam-5363	279	1	physica	physica	NOUN
ejpam-5363	279	2	d	d	NOUN
ejpam-5363	279	3	:	:	PUNCT
ejpam-5363	279	4	nonlinear	nonlinear	ADJ
ejpam-5363	279	5	phenomena	phenomena	PROPN
ejpam-5363	279	6	,	,	PUNCT
ejpam-5363	279	7	194:187–202	194:187–202	NUM
ejpam-5363	279	8	,	,	PUNCT
ejpam-5363	279	9	2004	2004	NUM
ejpam-5363	279	10	.	.	PUNCT
ejpam-5363	280	1	[	[	X
ejpam-5363	280	2	17	17	NUM
ejpam-5363	280	3	]	]	X
ejpam-5363	280	4	d.	d.	PROPN
ejpam-5363	280	5	li	li	PROPN
ejpam-5363	280	6	and	and	CCONJ
ejpam-5363	280	7	d.	d.	PROPN
ejpam-5363	280	8	xu	xu	PROPN
ejpam-5363	280	9	.	.	PUNCT
ejpam-5363	281	1	periodic	periodic	ADJ
ejpam-5363	281	2	solutions	solution	NOUN
ejpam-5363	281	3	of	of	ADP
ejpam-5363	281	4	stochastic	stochastic	ADJ
ejpam-5363	281	5	delay	delay	NOUN
ejpam-5363	281	6	differential	differential	ADJ
ejpam-5363	281	7	equations	equation	NOUN
ejpam-5363	281	8	and	and	CCONJ
ejpam-5363	281	9	applications	application	NOUN
ejpam-5363	281	10	to	to	ADP
ejpam-5363	281	11	logistic	logistic	ADJ
ejpam-5363	281	12	equation	equation	NOUN
ejpam-5363	281	13	and	and	CCONJ
ejpam-5363	281	14	neural	neural	ADJ
ejpam-5363	281	15	networks	network	NOUN
ejpam-5363	281	16	.	.	PUNCT
ejpam-5363	282	1	journal	journal	NOUN
ejpam-5363	282	2	of	of	ADP
ejpam-5363	282	3	the	the	DET
ejpam-5363	282	4	korean	korean	PROPN
ejpam-5363	282	5	mathematical	mathematical	ADJ
ejpam-5363	282	6	society	society	NOUN
ejpam-5363	282	7	,	,	PUNCT
ejpam-5363	282	8	50:1165–1181	50:1165–1181	NUM
ejpam-5363	282	9	,	,	PUNCT
ejpam-5363	282	10	2013	2013	NUM
ejpam-5363	282	11	.	.	PUNCT
ejpam-5363	283	1	[	[	X
ejpam-5363	283	2	18	18	NUM
ejpam-5363	283	3	]	]	X
ejpam-5363	283	4	o.	o.	NOUN
ejpam-5363	283	5	nave	nave	NOUN
ejpam-5363	283	6	and	and	CCONJ
ejpam-5363	283	7	v.	v.	ADP
ejpam-5363	283	8	gol’dshtein	gol’dshtein	PROPN
ejpam-5363	283	9	.	.	PUNCT
ejpam-5363	284	1	a	a	DET
ejpam-5363	284	2	combination	combination	NOUN
ejpam-5363	284	3	of	of	ADP
ejpam-5363	284	4	two	two	NUM
ejpam-5363	284	5	semi	semi	ADJ
ejpam-5363	284	6	-	-	ADJ
ejpam-5363	284	7	analytical	analytical	ADJ
ejpam-5363	284	8	methods	method	NOUN
ejpam-5363	284	9	called	call	VERB
ejpam-5363	284	10	the	the	DET
ejpam-5363	284	11	“	"	PUNCT
ejpam-5363	284	12	singular	singular	NOUN
ejpam-5363	284	13	perturbed	perturb	VERB
ejpam-5363	284	14	homotopy	homotopy	VERB
ejpam-5363	284	15	analysis	analysis	NOUN
ejpam-5363	284	16	method	method	NOUN
ejpam-5363	284	17	,	,	PUNCT
ejpam-5363	284	18	(	(	PUNCT
ejpam-5363	284	19	spham	spham	ADV
ejpam-5363	284	20	)	)	PUNCT
ejpam-5363	284	21	“	"	PUNCT
ejpam-5363	284	22	applied	apply	VERB
ejpam-5363	284	23	to	to	ADP
ejpam-5363	284	24	the	the	DET
ejpam-5363	284	25	combustion	combustion	NOUN
ejpam-5363	284	26	of	of	ADP
ejpam-5363	284	27	spray	spray	NOUN
ejpam-5363	284	28	fuel	fuel	NOUN
ejpam-5363	284	29	droplets	droplet	NOUN
ejpam-5363	284	30	.	.	PUNCT
ejpam-5363	285	1	cogent	cogent	NOUN
ejpam-5363	285	2	mathematics	mathematic	NOUN
ejpam-5363	285	3	,	,	PUNCT
ejpam-5363	285	4	3:1–23	3:1–23	NUM
ejpam-5363	285	5	,	,	PUNCT
ejpam-5363	285	6	2016	2016	NUM
ejpam-5363	285	7	.	.	PUNCT
ejpam-5363	286	1	[	[	X
ejpam-5363	286	2	19	19	NUM
ejpam-5363	286	3	]	]	X
ejpam-5363	286	4	j.	j.	PROPN
ejpam-5363	286	5	segura	segura	PROPN
ejpam-5363	286	6	.	.	PROPN
ejpam-5363	286	7	bounds	bound	VERB
ejpam-5363	286	8	for	for	ADP
ejpam-5363	286	9	ratios	ratio	NOUN
ejpam-5363	286	10	of	of	ADP
ejpam-5363	286	11	modified	modify	VERB
ejpam-5363	286	12	bessel	bessel	NOUN
ejpam-5363	286	13	functions	function	NOUN
ejpam-5363	286	14	and	and	CCONJ
ejpam-5363	286	15	associated	associated	ADJ
ejpam-5363	286	16	turán	turán	NOUN
ejpam-5363	286	17	-	-	PUNCT
ejpam-5363	286	18	type	type	NOUN
ejpam-5363	286	19	inequalities	inequality	NOUN
ejpam-5363	286	20	.	.	PUNCT
ejpam-5363	287	1	journal	journal	PROPN
ejpam-5363	287	2	of	of	ADP
ejpam-5363	287	3	mathematical	mathematical	ADJ
ejpam-5363	287	4	analysis	analysis	NOUN
ejpam-5363	287	5	and	and	CCONJ
ejpam-5363	287	6	applications	application	NOUN
ejpam-5363	287	7	,	,	PUNCT
ejpam-5363	287	8	374:516–528	374:516–528	NUM
ejpam-5363	287	9	,	,	PUNCT
ejpam-5363	287	10	2011	2011	NUM
ejpam-5363	287	11	.	.	PUNCT
ejpam-5363	288	1	[	[	X
ejpam-5363	288	2	20	20	NUM
ejpam-5363	288	3	]	]	X
ejpam-5363	288	4	r.	r.	PROPN
ejpam-5363	288	5	shah	shah	PROPN
ejpam-5363	288	6	,	,	PUNCT
ejpam-5363	288	7	u.	u.	PROPN
ejpam-5363	288	8	farooq	farooq	PROPN
ejpam-5363	288	9	,	,	PUNCT
ejpam-5363	288	10	h.	h.	PROPN
ejpam-5363	288	11	khan	khan	PROPN
ejpam-5363	288	12	,	,	PUNCT
ejpam-5363	288	13	d.	d.	PROPN
ejpam-5363	288	14	baleanu	baleanu	PROPN
ejpam-5363	288	15	,	,	PUNCT
ejpam-5363	288	16	p.	p.	PROPN
ejpam-5363	288	17	kumam	kumam	PROPN
ejpam-5363	288	18	,	,	PUNCT
ejpam-5363	288	19	and	and	CCONJ
ejpam-5363	288	20	m.	m.	PROPN
ejpam-5363	288	21	arif	arif	PROPN
ejpam-5363	288	22	.	.	PUNCT
ejpam-5363	289	1	fractional	fractional	ADJ
ejpam-5363	289	2	view	view	NOUN
ejpam-5363	289	3	analysis	analysis	NOUN
ejpam-5363	289	4	of	of	ADP
ejpam-5363	289	5	third	third	ADJ
ejpam-5363	289	6	-	-	PUNCT
ejpam-5363	289	7	order	order	NOUN
ejpam-5363	289	8	korteweg	korteweg	NOUN
ejpam-5363	289	9	-	-	PUNCT
ejpam-5363	289	10	de	de	NOUN
ejpam-5363	289	11	vries	vries	PROPN
ejpam-5363	289	12	equations	equation	NOUN
ejpam-5363	289	13	using	use	VERB
ejpam-5363	289	14	a	a	DET
ejpam-5363	289	15	new	new	ADJ
ejpam-5363	289	16	analytical	analytical	ADJ
ejpam-5363	289	17	technique	technique	NOUN
ejpam-5363	289	18	.	.	PUNCT
ejpam-5363	290	1	frontiers	frontier	NOUN
ejpam-5363	290	2	in	in	ADP
ejpam-5363	290	3	physics	physics	PROPN
ejpam-5363	290	4	,	,	PUNCT
ejpam-5363	290	5	7:244–250	7:244–250	NUM
ejpam-5363	290	6	,	,	PUNCT
ejpam-5363	290	7	2020	2020	NUM
ejpam-5363	290	8	.	.	PUNCT
ejpam-5363	291	1	[	[	X
ejpam-5363	291	2	21	21	NUM
ejpam-5363	291	3	]	]	X
ejpam-5363	291	4	s.	s.	PROPN
ejpam-5363	291	5	c.	c.	PROPN
ejpam-5363	291	6	shiralashetti	shiralashetti	PROPN
ejpam-5363	291	7	,	,	PUNCT
ejpam-5363	291	8	b.	b.	PROPN
ejpam-5363	291	9	s.	s.	PROPN
ejpam-5363	291	10	hoogar	hoogar	PROPN
ejpam-5363	291	11	,	,	PUNCT
ejpam-5363	291	12	and	and	CCONJ
ejpam-5363	291	13	s.	s.	PROPN
ejpam-5363	291	14	kumbinarasaiah	kumbinarasaiah	PROPN
ejpam-5363	291	15	.	.	PUNCT
ejpam-5363	292	1	hermite	hermite	ADJ
ejpam-5363	292	2	wavelet	wavelet	NOUN
ejpam-5363	292	3	-	-	PUNCT
ejpam-5363	292	4	based	base	VERB
ejpam-5363	292	5	method	method	NOUN
ejpam-5363	292	6	for	for	ADP
ejpam-5363	292	7	the	the	DET
ejpam-5363	292	8	numerical	numerical	ADJ
ejpam-5363	292	9	solution	solution	NOUN
ejpam-5363	292	10	of	of	ADP
ejpam-5363	292	11	linear	linear	PROPN
ejpam-5363	292	12	and	and	CCONJ
ejpam-5363	292	13	nonlinear	nonlinear	ADJ
ejpam-5363	292	14	delay	delay	NOUN
ejpam-5363	292	15	differential	differential	PROPN
ejpam-5363	292	16	equations	equation	NOUN
ejpam-5363	292	17	.	.	PUNCT
ejpam-5363	293	1	int	int	NOUN
ejpam-5363	293	2	.	.	PUNCT
ejpam-5363	294	1	j.	j.	PROPN
ejpam-5363	294	2	eng	eng	PROPN
ejpam-5363	294	3	.	.	PUNCT
ejpam-5363	295	1	sci	sci	PROPN
ejpam-5363	295	2	.	.	PUNCT
ejpam-5363	295	3	math	math	PROPN
ejpam-5363	295	4	.	.	PUNCT
ejpam-5363	295	5	,	,	PUNCT
ejpam-5363	295	6	6:71–79	6:71–79	ADV
ejpam-5363	295	7	,	,	PUNCT
ejpam-5363	295	8	2017	2017	NUM
ejpam-5363	295	9	.	.	PUNCT
ejpam-5363	296	1	[	[	X
ejpam-5363	296	2	22	22	NUM
ejpam-5363	296	3	]	]	PUNCT
ejpam-5363	296	4	p.	p.	NOUN
ejpam-5363	296	5	singh	singh	PROPN
ejpam-5363	296	6	and	and	CCONJ
ejpam-5363	296	7	d.	d.	PROPN
ejpam-5363	296	8	sharma	sharma	PROPN
ejpam-5363	296	9	.	.	PUNCT
ejpam-5363	297	1	convergence	convergence	NOUN
ejpam-5363	297	2	and	and	CCONJ
ejpam-5363	297	3	error	error	NOUN
ejpam-5363	297	4	analysis	analysis	NOUN
ejpam-5363	297	5	of	of	ADP
ejpam-5363	297	6	the	the	DET
ejpam-5363	297	7	series	series	NOUN
ejpam-5363	297	8	solution	solution	NOUN
ejpam-5363	297	9	of	of	ADP
ejpam-5363	297	10	nonlinear	nonlinear	ADJ
ejpam-5363	297	11	partial	partial	ADJ
ejpam-5363	297	12	differential	differential	NOUN
ejpam-5363	297	13	equations	equation	NOUN
ejpam-5363	297	14	.	.	PUNCT
ejpam-5363	298	1	nonlinear	nonlinear	ADJ
ejpam-5363	298	2	engineering	engineering	NOUN
ejpam-5363	298	3	,	,	PUNCT
ejpam-5363	298	4	7:303–308	7:303–308	NOUN
ejpam-5363	298	5	,	,	PUNCT
ejpam-5363	298	6	2018	2018	NUM
ejpam-5363	298	7	.	.	PUNCT
ejpam-5363	299	1	[	[	X
ejpam-5363	299	2	23	23	NUM
ejpam-5363	299	3	]	]	PUNCT
ejpam-5363	299	4	s.	s.	PROPN
ejpam-5363	299	5	m.	m.	PROPN
ejpam-5363	299	6	sonawane	sonawane	PROPN
ejpam-5363	299	7	and	and	CCONJ
ejpam-5363	299	8	s.	s.	PROPN
ejpam-5363	299	9	s.	s.	PROPN
ejpam-5363	299	10	pawar	pawar	PROPN
ejpam-5363	299	11	.	.	PUNCT
ejpam-5363	300	1	inverse	inverse	PROPN
ejpam-5363	300	2	mohand	mohand	NOUN
ejpam-5363	300	3	transform	transform	NOUN
ejpam-5363	300	4	.	.	PUNCT
ejpam-5363	300	5	ymer	ymer	NOUN
ejpam-5363	300	6	,	,	PUNCT
ejpam-5363	300	7	21:330–339	21:330–339	NUM
ejpam-5363	300	8	,	,	PUNCT
ejpam-5363	300	9	2022	2022	NUM
ejpam-5363	300	10	.	.	PUNCT
ejpam-5363	301	1	[	[	X
ejpam-5363	301	2	24	24	NUM
ejpam-5363	301	3	]	]	X
ejpam-5363	301	4	v.	v.	CCONJ
ejpam-5363	301	5	srivastava	srivastava	PROPN
ejpam-5363	301	6	,	,	PUNCT
ejpam-5363	301	7	m.	m.	NOUN
ejpam-5363	301	8	tamsir	tamsir	PROPN
ejpam-5363	301	9	,	,	PUNCT
ejpam-5363	301	10	m.	m.	NOUN
ejpam-5363	301	11	awasthi	awasthi	NOUN
ejpam-5363	301	12	,	,	PUNCT
ejpam-5363	301	13	and	and	CCONJ
ejpam-5363	301	14	s.	s.	PROPN
ejpam-5363	301	15	singh	singh	PROPN
ejpam-5363	301	16	.	.	PUNCT
ejpam-5363	302	1	one	one	NUM
ejpam-5363	302	2	-	-	PUNCT
ejpam-5363	302	3	dimensional	dimensional	ADJ
ejpam-5363	302	4	coupled	couple	VERB
ejpam-5363	302	5	burger	burger	NOUN
ejpam-5363	302	6	’s	’s	PART
ejpam-5363	302	7	equation	equation	NOUN
ejpam-5363	302	8	and	and	CCONJ
ejpam-5363	302	9	its	its	PRON
ejpam-5363	302	10	numerical	numerical	ADJ
ejpam-5363	302	11	solution	solution	NOUN
ejpam-5363	302	12	by	by	ADP
ejpam-5363	302	13	an	an	DET
ejpam-5363	302	14	implicit	implicit	ADJ
ejpam-5363	302	15	logarithmic	logarithmic	ADJ
ejpam-5363	302	16	finitedifference	finitedifference	NOUN
ejpam-5363	302	17	method	method	NOUN
ejpam-5363	302	18	.	.	PUNCT
ejpam-5363	303	1	journal	journal	PROPN
ejpam-5363	303	2	of	of	ADP
ejpam-5363	303	3	aip	aip	PROPN
ejpam-5363	303	4	advances	advance	NOUN
ejpam-5363	303	5	,	,	PUNCT
ejpam-5363	303	6	4:11–20	4:11–20	NUM
ejpam-5363	303	7	,	,	PUNCT
ejpam-5363	303	8	2014	2014	NUM
ejpam-5363	303	9	.	.	PUNCT
ejpam-5363	304	1	[	[	X
ejpam-5363	304	2	25	25	NUM
ejpam-5363	304	3	]	]	PUNCT
ejpam-5363	304	4	a.	a.	NOUN
ejpam-5363	304	5	sudhanshu	sudhanshu	PROPN
ejpam-5363	304	6	,	,	PUNCT
ejpam-5363	304	7	m.	m.	NOUN
ejpam-5363	304	8	rashmi	rashmi	PROPN
ejpam-5363	304	9	,	,	PUNCT
ejpam-5363	304	10	and	and	CCONJ
ejpam-5363	304	11	k.	k.	PROPN
ejpam-5363	304	12	anuj	anuj	PROPN
ejpam-5363	304	13	.	.	PUNCT
ejpam-5363	305	1	a	a	DET
ejpam-5363	305	2	comparative	comparative	ADJ
ejpam-5363	305	3	study	study	NOUN
ejpam-5363	305	4	of	of	ADP
ejpam-5363	305	5	mohand	mohand	NOUN
ejpam-5363	305	6	and	and	CCONJ
ejpam-5363	305	7	elzaki	elzaki	NOUN
ejpam-5363	305	8	transforms	transform	VERB
ejpam-5363	305	9	.	.	PUNCT
ejpam-5363	306	1	global	global	ADJ
ejpam-5363	306	2	journal	journal	PROPN
ejpam-5363	306	3	of	of	ADP
ejpam-5363	306	4	engineering	engineering	NOUN
ejpam-5363	306	5	science	science	NOUN
ejpam-5363	306	6	and	and	CCONJ
ejpam-5363	306	7	researches	research	NOUN
ejpam-5363	306	8	,	,	PUNCT
ejpam-5363	306	9	6:203–213	6:203–213	NOUN
ejpam-5363	306	10	,	,	PUNCT
ejpam-5363	306	11	2019	2019	NUM
ejpam-5363	306	12	.	.	PUNCT
ejpam-5363	307	1	[	[	X
ejpam-5363	307	2	26	26	NUM
ejpam-5363	307	3	]	]	X
ejpam-5363	307	4	d.	d.	PROPN
ejpam-5363	307	5	o.	o.	PROPN
ejpam-5363	307	6	trejo	trejo	PROPN
ejpam-5363	307	7	,	,	PUNCT
ejpam-5363	307	8	a.	a.	PROPN
ejpam-5363	307	9	e.	e.	PROPN
ejpam-5363	307	10	zuaiga	zuaiga	PROPN
ejpam-5363	307	11	,	,	PUNCT
ejpam-5363	307	12	and	and	CCONJ
ejpam-5363	307	13	c.	c.	PROPN
ejpam-5363	307	14	a.	a.	PROPN
ejpam-5363	307	15	r.	r.	PROPN
ejpam-5363	307	16	gonzalez	gonzalez	PROPN
ejpam-5363	307	17	.	.	PUNCT
ejpam-5363	308	1	approximate	approximate	ADJ
ejpam-5363	308	2	solutions	solution	NOUN
ejpam-5363	308	3	of	of	ADP
ejpam-5363	308	4	delay	delay	NOUN
ejpam-5363	308	5	differential	differential	ADJ
ejpam-5363	308	6	equations	equation	NOUN
ejpam-5363	308	7	with	with	ADP
ejpam-5363	308	8	constant	constant	ADJ
ejpam-5363	308	9	and	and	CCONJ
ejpam-5363	308	10	variable	variable	ADJ
ejpam-5363	308	11	coefficients	coefficient	NOUN
ejpam-5363	308	12	by	by	ADP
ejpam-5363	308	13	the	the	DET
ejpam-5363	308	14	enhanced	enhance	VERB
ejpam-5363	308	15	multistage	multistage	NOUN
ejpam-5363	308	16	homotopy	homotopy	NOUN
ejpam-5363	308	17	perturbation	perturbation	NOUN
ejpam-5363	308	18	method	method	NOUN
ejpam-5363	308	19	.	.	PUNCT
ejpam-5363	309	1	abstract	abstract	ADJ
ejpam-5363	309	2	and	and	CCONJ
ejpam-5363	309	3	applied	apply	VERB
ejpam-5363	309	4	analysis	analysis	NOUN
ejpam-5363	309	5	,	,	PUNCT
ejpam-5363	309	6	2015:1–12	2015:1–12	NUM
ejpam-5363	309	7	,	,	PUNCT
ejpam-5363	309	8	2015	2015	NUM
ejpam-5363	309	9	.	.	PUNCT
ejpam-5363	310	1	[	[	X
ejpam-5363	310	2	27	27	NUM
ejpam-5363	310	3	]	]	PUNCT
ejpam-5363	310	4	a.	a.	NOUN
ejpam-5363	310	5	g.	g.	PROPN
ejpam-5363	310	6	vladimirov	vladimirov	PROPN
ejpam-5363	310	7	,	,	PUNCT
ejpam-5363	310	8	a.	a.	NOUN
ejpam-5363	310	9	pimenov	pimenov	NOUN
ejpam-5363	310	10	,	,	PUNCT
ejpam-5363	310	11	and	and	CCONJ
ejpam-5363	310	12	u.	u.	PROPN
ejpam-5363	310	13	bandelow	bandelow	NOUN
ejpam-5363	310	14	.	.	PUNCT
ejpam-5363	311	1	modeling	modeling	NOUN
ejpam-5363	311	2	of	of	ADP
ejpam-5363	311	3	multimode	multimode	ADJ
ejpam-5363	311	4	laser	laser	NOUN
ejpam-5363	311	5	dynamics	dynamic	NOUN
ejpam-5363	311	6	by	by	ADP
ejpam-5363	311	7	means	mean	NOUN
ejpam-5363	311	8	of	of	ADP
ejpam-5363	311	9	delay	delay	NOUN
ejpam-5363	311	10	differential	differential	ADJ
ejpam-5363	311	11	equations	equation	NOUN
ejpam-5363	311	12	.	.	PUNCT
ejpam-5363	312	1	in	in	ADP
ejpam-5363	312	2	numerical	numerical	ADJ
ejpam-5363	312	3	simulation	simulation	NOUN
ejpam-5363	312	4	of	of	ADP
ejpam-5363	312	5	optoelectronic	optoelectronic	ADJ
ejpam-5363	312	6	devices	device	NOUN
ejpam-5363	312	7	,	,	PUNCT
ejpam-5363	312	8	pages	page	NOUN
ejpam-5363	312	9	153–154	153–154	NUM
ejpam-5363	312	10	,	,	PUNCT
ejpam-5363	312	11	2014	2014	NUM
ejpam-5363	312	12	.	.	PUNCT
ejpam-5363	313	1	[	[	X
ejpam-5363	313	2	28	28	NUM
ejpam-5363	313	3	]	]	X
ejpam-5363	313	4	p.	p.	NOUN
ejpam-5363	313	5	wahi	wahi	X
ejpam-5363	313	6	.	.	PUNCT
ejpam-5363	314	1	a	a	DET
ejpam-5363	314	2	study	study	NOUN
ejpam-5363	314	3	of	of	ADP
ejpam-5363	314	4	delay	delay	NOUN
ejpam-5363	314	5	differential	differential	ADJ
ejpam-5363	314	6	equations	equation	NOUN
ejpam-5363	314	7	with	with	ADP
ejpam-5363	314	8	applications	application	NOUN
ejpam-5363	314	9	to	to	ADP
ejpam-5363	314	10	machine	machine	NOUN
ejpam-5363	314	11	tool	tool	NOUN
ejpam-5363	314	12	vibrations	vibration	NOUN
ejpam-5363	314	13	.	.	PUNCT
ejpam-5363	315	1	phd	phd	NOUN
ejpam-5363	315	2	thesis	thesis	PROPN
ejpam-5363	315	3	,	,	PUNCT
ejpam-5363	315	4	indian	indian	PROPN
ejpam-5363	315	5	institute	institute	PROPN
ejpam-5363	315	6	of	of	ADP
ejpam-5363	315	7	science	science	PROPN
ejpam-5363	315	8	,	,	PUNCT
ejpam-5363	315	9	bangalore	bangalore	NOUN
ejpam-5363	315	10	,	,	PUNCT
ejpam-5363	315	11	2005	2005	NUM
ejpam-5363	315	12	.	.	PUNCT
ejpam-5363	316	1	references	reference	NOUN
ejpam-5363	316	2	2827	2827	NUM
ejpam-5363	316	3	[	[	X
ejpam-5363	316	4	29	29	NUM
ejpam-5363	316	5	]	]	PUNCT
ejpam-5363	316	6	a.	a.	NOUN
ejpam-5363	316	7	yazbay	yazbay	PROPN
ejpam-5363	316	8	and	and	CCONJ
ejpam-5363	316	9	m.	m.	NOUN
ejpam-5363	316	10	sezer	sezer	PROPN
ejpam-5363	316	11	.	.	PUNCT
ejpam-5363	317	1	an	an	DET
ejpam-5363	317	2	exponential	exponential	ADJ
ejpam-5363	317	3	approximation	approximation	NOUN
ejpam-5363	317	4	for	for	ADP
ejpam-5363	317	5	solutions	solution	NOUN
ejpam-5363	317	6	of	of	ADP
ejpam-5363	317	7	generalized	generalized	ADJ
ejpam-5363	317	8	pantograph	pantograph	NOUN
ejpam-5363	317	9	-	-	PUNCT
ejpam-5363	317	10	delay	delay	NOUN
ejpam-5363	317	11	differential	differential	ADJ
ejpam-5363	317	12	equations	equation	NOUN
ejpam-5363	317	13	.	.	PUNCT
ejpam-5363	318	1	applied	apply	VERB
ejpam-5363	318	2	mathematical	mathematical	ADJ
ejpam-5363	318	3	modelling	modelling	NOUN
ejpam-5363	318	4	,	,	PUNCT
ejpam-5363	318	5	37:9160	37:9160	NUM
ejpam-5363	318	6	–	–	PUNCT
ejpam-5363	318	7	9173	9173	NUM
ejpam-5363	318	8	,	,	PUNCT
ejpam-5363	318	9	2013	2013	NUM
ejpam-5363	318	10	.	.	PUNCT
ejpam-5363	319	1	[	[	X
ejpam-5363	319	2	30	30	NUM
ejpam-5363	319	3	]	]	PUNCT
ejpam-5363	319	4	p.	p.	NOUN
ejpam-5363	319	5	yi	yi	PROPN
ejpam-5363	319	6	,	,	PUNCT
ejpam-5363	319	7	a.	a.	NOUN
ejpam-5363	319	8	song	song	NOUN
ejpam-5363	319	9	,	,	PUNCT
ejpam-5363	319	10	j.	j.	PROPN
ejpam-5363	319	11	guo	guo	PROPN
ejpam-5363	319	12	,	,	PUNCT
ejpam-5363	319	13	y.	y.	PROPN
ejpam-5363	319	14	liu	liu	PROPN
ejpam-5363	319	15	,	,	PUNCT
ejpam-5363	319	16	and	and	CCONJ
ejpam-5363	319	17	g.	g.	PROPN
ejpam-5363	319	18	jiang	jiang	PROPN
ejpam-5363	319	19	.	.	PUNCT
ejpam-5363	320	1	delay	delay	NOUN
ejpam-5363	320	2	-	-	PUNCT
ejpam-5363	320	3	dependent	dependent	ADJ
ejpam-5363	320	4	stabilization	stabilization	NOUN
ejpam-5363	320	5	control	control	NOUN
ejpam-5363	320	6	for	for	ADP
ejpam-5363	320	7	asymmetric	asymmetric	ADJ
ejpam-5363	320	8	bilateral	bilateral	ADJ
ejpam-5363	320	9	teleportation	teleportation	NOUN
ejpam-5363	320	10	systems	system	NOUN
ejpam-5363	320	11	with	with	ADP
ejpam-5363	320	12	time	time	NOUN
ejpam-5363	320	13	-	-	PUNCT
ejpam-5363	320	14	varying	vary	VERB
ejpam-5363	320	15	delays	delay	NOUN
ejpam-5363	320	16	.	.	PUNCT
ejpam-5363	321	1	in	in	ADP
ejpam-5363	321	2	international	international	ADJ
ejpam-5363	321	3	conference	conference	NOUN
ejpam-5363	321	4	on	on	ADP
ejpam-5363	321	5	robotics	robotic	NOUN
ejpam-5363	321	6	and	and	CCONJ
ejpam-5363	321	7	automation	automation	NOUN
ejpam-5363	321	8	engineering	engineering	NOUN
ejpam-5363	321	9	,	,	PUNCT
ejpam-5363	321	10	volume	volume	NOUN
ejpam-5363	321	11	5	5	NUM
ejpam-5363	321	12	,	,	PUNCT
ejpam-5363	321	13	pages	page	NOUN
ejpam-5363	321	14	10–16	10–16	NUM
ejpam-5363	321	15	,	,	PUNCT
ejpam-5363	321	16	2016	2016	NUM
ejpam-5363	321	17	.	.	PUNCT
ejpam-5363	322	1	[	[	X
ejpam-5363	322	2	31	31	NUM
ejpam-5363	322	3	]	]	PUNCT
ejpam-5363	322	4	g.	g.	PROPN
ejpam-5363	322	5	zhao	zhao	PROPN
ejpam-5363	322	6	,	,	PUNCT
ejpam-5363	322	7	x.	x.	NOUN
ejpam-5363	322	8	yub	yub	PROPN
ejpam-5363	322	9	,	,	PUNCT
ejpam-5363	322	10	and	and	CCONJ
ejpam-5363	322	11	r.	r.	PROPN
ejpam-5363	322	12	zhang	zhang	PROPN
ejpam-5363	322	13	.	.	PUNCT
ejpam-5363	323	1	the	the	DET
ejpam-5363	323	2	new	new	ADJ
ejpam-5363	323	3	numerical	numerical	ADJ
ejpam-5363	323	4	method	method	NOUN
ejpam-5363	323	5	for	for	ADP
ejpam-5363	323	6	solving	solve	VERB
ejpam-5363	323	7	the	the	DET
ejpam-5363	323	8	system	system	NOUN
ejpam-5363	323	9	of	of	ADP
ejpam-5363	323	10	two	two	NUM
ejpam-5363	323	11	-	-	PUNCT
ejpam-5363	323	12	dimensional	dimensional	ADJ
ejpam-5363	323	13	burger	burger	NOUN
ejpam-5363	323	14	’s	’s	PART
ejpam-5363	323	15	equations	equation	NOUN
ejpam-5363	323	16	.	.	PUNCT
ejpam-5363	324	1	journal	journal	NOUN
ejpam-5363	324	2	of	of	ADP
ejpam-5363	324	3	computers	computer	NOUN
ejpam-5363	324	4	and	and	CCONJ
ejpam-5363	324	5	mathematics	mathematic	NOUN
ejpam-5363	324	6	with	with	ADP
ejpam-5363	324	7	applications	application	NOUN
ejpam-5363	324	8	,	,	PUNCT
ejpam-5363	324	9	62:3279–3291	62:3279–3291	NUM
ejpam-5363	324	10	,	,	PUNCT
ejpam-5363	324	11	2011	2011	NUM
ejpam-5363	324	12	.	.	PUNCT