id	sid	tid	token	lemma	pos
ejpam-5583	1	1	european	european	PROPN
ejpam-5583	1	2	journal	journal	PROPN
ejpam-5583	1	3	of	of	ADP
ejpam-5583	1	4	pure	pure	ADJ
ejpam-5583	1	5	and	and	CCONJ
ejpam-5583	1	6	applied	applied	ADJ
ejpam-5583	1	7	mathematics	mathematic	NOUN
ejpam-5583	1	8	2025	2025	NUM
ejpam-5583	1	9	,	,	PUNCT
ejpam-5583	1	10	vol	vol	NOUN
ejpam-5583	1	11	.	.	PROPN
ejpam-5583	1	12	18	18	NUM
ejpam-5583	1	13	,	,	PUNCT
ejpam-5583	1	14	issue	issue	NOUN
ejpam-5583	1	15	1	1	NUM
ejpam-5583	1	16	,	,	PUNCT
ejpam-5583	1	17	article	article	NOUN
ejpam-5583	1	18	number	number	NOUN
ejpam-5583	1	19	5583	5583	NUM
ejpam-5583	1	20	issn	issn	PROPN
ejpam-5583	1	21	1307	1307	NUM
ejpam-5583	1	22	-	-	SYM
ejpam-5583	1	23	5543	5543	NUM
ejpam-5583	1	24	–	–	PUNCT
ejpam-5583	1	25	ejpam.com	ejpam.com	X
ejpam-5583	1	26	published	publish	VERB
ejpam-5583	1	27	by	by	ADP
ejpam-5583	1	28	new	new	PROPN
ejpam-5583	1	29	york	york	PROPN
ejpam-5583	1	30	business	business	PROPN
ejpam-5583	1	31	global	global	ADJ
ejpam-5583	1	32	advancing	advance	VERB
ejpam-5583	1	33	solutions	solution	NOUN
ejpam-5583	1	34	for	for	ADP
ejpam-5583	1	35	fractional	fractional	ADJ
ejpam-5583	1	36	differential	differential	ADJ
ejpam-5583	1	37	equations	equation	NOUN
ejpam-5583	1	38	:	:	PUNCT
ejpam-5583	1	39	integrating	integrate	VERB
ejpam-5583	1	40	the	the	DET
ejpam-5583	1	41	sawi	sawi	ADJ
ejpam-5583	1	42	transform	transform	NOUN
ejpam-5583	1	43	with	with	ADP
ejpam-5583	1	44	iterative	iterative	NOUN
ejpam-5583	1	45	methods	method	NOUN
ejpam-5583	1	46	rania	rania	PROPN
ejpam-5583	1	47	saadeh1	saadeh1	PROPN
ejpam-5583	1	48	,	,	PUNCT
ejpam-5583	1	49	alaa	alaa	PROPN
ejpam-5583	1	50	al	al	PROPN
ejpam-5583	1	51	-	-	PUNCT
ejpam-5583	1	52	wadi1	wadi1	PROPN
ejpam-5583	1	53	,	,	PUNCT
ejpam-5583	1	54	ahmad	ahmad	PROPN
ejpam-5583	1	55	qazza1,∗	qazza1,∗	NOUN
ejpam-5583	1	56	1	1	NUM
ejpam-5583	1	57	department	department	NOUN
ejpam-5583	1	58	of	of	ADP
ejpam-5583	1	59	mathematics	mathematic	NOUN
ejpam-5583	1	60	,	,	PUNCT
ejpam-5583	1	61	faculty	faculty	NOUN
ejpam-5583	1	62	of	of	ADP
ejpam-5583	1	63	science	science	NOUN
ejpam-5583	1	64	,	,	PUNCT
ejpam-5583	1	65	zarqa	zarqa	PROPN
ejpam-5583	1	66	university	university	PROPN
ejpam-5583	1	67	,	,	PUNCT
ejpam-5583	1	68	zarqa	zarqa	PROPN
ejpam-5583	1	69	13110	13110	NUM
ejpam-5583	1	70	,	,	PUNCT
ejpam-5583	1	71	jordan	jordan	PROPN
ejpam-5583	1	72	abstract	abstract	PROPN
ejpam-5583	1	73	.	.	PUNCT
ejpam-5583	2	1	this	this	DET
ejpam-5583	2	2	paper	paper	NOUN
ejpam-5583	2	3	presents	present	VERB
ejpam-5583	2	4	a	a	DET
ejpam-5583	2	5	powerful	powerful	ADJ
ejpam-5583	2	6	approach	approach	NOUN
ejpam-5583	2	7	to	to	ADP
ejpam-5583	2	8	solving	solve	VERB
ejpam-5583	2	9	fractional	fractional	ADJ
ejpam-5583	2	10	differential	differential	ADJ
ejpam-5583	2	11	equations	equation	NOUN
ejpam-5583	2	12	by	by	ADP
ejpam-5583	2	13	combining	combine	VERB
ejpam-5583	2	14	the	the	DET
ejpam-5583	2	15	sawi	sawi	ADJ
ejpam-5583	2	16	transform	transform	NOUN
ejpam-5583	2	17	with	with	ADP
ejpam-5583	2	18	iterative	iterative	ADJ
ejpam-5583	2	19	methods	method	NOUN
ejpam-5583	2	20	,	,	PUNCT
ejpam-5583	2	21	particularly	particularly	ADV
ejpam-5583	2	22	the	the	DET
ejpam-5583	2	23	sawi	sawi	ADJ
ejpam-5583	2	24	iterative	iterative	NOUN
ejpam-5583	2	25	method	method	NOUN
ejpam-5583	2	26	.	.	PUNCT
ejpam-5583	3	1	we	we	PRON
ejpam-5583	3	2	begin	begin	VERB
ejpam-5583	3	3	by	by	ADP
ejpam-5583	3	4	reviewing	review	VERB
ejpam-5583	3	5	the	the	DET
ejpam-5583	3	6	fundamental	fundamental	ADJ
ejpam-5583	3	7	properties	property	NOUN
ejpam-5583	3	8	and	and	CCONJ
ejpam-5583	3	9	theoretical	theoretical	ADJ
ejpam-5583	3	10	aspects	aspect	NOUN
ejpam-5583	3	11	of	of	ADP
ejpam-5583	3	12	the	the	DET
ejpam-5583	3	13	sawi	sawi	PROPN
ejpam-5583	3	14	transform	transform	NOUN
ejpam-5583	3	15	,	,	PUNCT
ejpam-5583	3	16	demonstrating	demonstrate	VERB
ejpam-5583	3	17	its	its	PRON
ejpam-5583	3	18	effectiveness	effectiveness	NOUN
ejpam-5583	3	19	in	in	ADP
ejpam-5583	3	20	simplifying	simplify	VERB
ejpam-5583	3	21	and	and	CCONJ
ejpam-5583	3	22	solving	solve	VERB
ejpam-5583	3	23	fractional	fractional	ADJ
ejpam-5583	3	24	differential	differential	ADJ
ejpam-5583	3	25	equations	equation	NOUN
ejpam-5583	3	26	.	.	PUNCT
ejpam-5583	4	1	the	the	DET
ejpam-5583	4	2	integration	integration	NOUN
ejpam-5583	4	3	of	of	ADP
ejpam-5583	4	4	the	the	DET
ejpam-5583	4	5	sawi	sawi	ADJ
ejpam-5583	4	6	transform	transform	NOUN
ejpam-5583	4	7	with	with	ADP
ejpam-5583	4	8	the	the	DET
ejpam-5583	4	9	iterative	iterative	NOUN
ejpam-5583	4	10	method	method	NOUN
ejpam-5583	4	11	is	be	AUX
ejpam-5583	4	12	applied	apply	VERB
ejpam-5583	4	13	to	to	PART
ejpam-5583	4	14	solve	solve	VERB
ejpam-5583	4	15	fractional	fractional	ADJ
ejpam-5583	4	16	delay	delay	NOUN
ejpam-5583	4	17	differential	differential	ADJ
ejpam-5583	4	18	equations	equation	NOUN
ejpam-5583	4	19	,	,	PUNCT
ejpam-5583	4	20	showcasing	showcase	VERB
ejpam-5583	4	21	both	both	CCONJ
ejpam-5583	4	22	analytical	analytical	ADJ
ejpam-5583	4	23	and	and	CCONJ
ejpam-5583	4	24	approximate	approximate	ADJ
ejpam-5583	4	25	solutions	solution	NOUN
ejpam-5583	4	26	through	through	ADP
ejpam-5583	4	27	detailed	detailed	ADJ
ejpam-5583	4	28	examples	example	NOUN
ejpam-5583	4	29	and	and	CCONJ
ejpam-5583	4	30	case	case	NOUN
ejpam-5583	4	31	studies	study	NOUN
ejpam-5583	4	32	.	.	PUNCT
ejpam-5583	5	1	our	our	PRON
ejpam-5583	5	2	findings	finding	NOUN
ejpam-5583	5	3	highlight	highlight	VERB
ejpam-5583	5	4	that	that	SCONJ
ejpam-5583	5	5	this	this	DET
ejpam-5583	5	6	combined	combined	ADJ
ejpam-5583	5	7	approach	approach	NOUN
ejpam-5583	5	8	not	not	PART
ejpam-5583	5	9	only	only	ADV
ejpam-5583	5	10	streamlines	streamline	VERB
ejpam-5583	5	11	the	the	DET
ejpam-5583	5	12	solution	solution	NOUN
ejpam-5583	5	13	process	process	NOUN
ejpam-5583	5	14	but	but	CCONJ
ejpam-5583	5	15	also	also	ADV
ejpam-5583	5	16	significantly	significantly	ADV
ejpam-5583	5	17	enhances	enhance	VERB
ejpam-5583	5	18	the	the	DET
ejpam-5583	5	19	accuracy	accuracy	NOUN
ejpam-5583	5	20	and	and	CCONJ
ejpam-5583	5	21	applicability	applicability	NOUN
ejpam-5583	5	22	of	of	ADP
ejpam-5583	5	23	solutions	solution	NOUN
ejpam-5583	5	24	across	across	ADP
ejpam-5583	5	25	a	a	DET
ejpam-5583	5	26	diverse	diverse	ADJ
ejpam-5583	5	27	range	range	NOUN
ejpam-5583	5	28	of	of	ADP
ejpam-5583	5	29	differential	differential	ADJ
ejpam-5583	5	30	equations	equation	NOUN
ejpam-5583	5	31	.	.	PUNCT
ejpam-5583	6	1	this	this	DET
ejpam-5583	6	2	study	study	NOUN
ejpam-5583	6	3	lays	lay	VERB
ejpam-5583	6	4	a	a	DET
ejpam-5583	6	5	robust	robust	ADJ
ejpam-5583	6	6	foundation	foundation	NOUN
ejpam-5583	6	7	for	for	ADP
ejpam-5583	6	8	further	further	ADJ
ejpam-5583	6	9	research	research	NOUN
ejpam-5583	6	10	and	and	CCONJ
ejpam-5583	6	11	practical	practical	ADJ
ejpam-5583	6	12	applications	application	NOUN
ejpam-5583	6	13	,	,	PUNCT
ejpam-5583	6	14	offering	offer	VERB
ejpam-5583	6	15	valuable	valuable	ADJ
ejpam-5583	6	16	insights	insight	NOUN
ejpam-5583	6	17	and	and	CCONJ
ejpam-5583	6	18	tools	tool	NOUN
ejpam-5583	6	19	for	for	ADP
ejpam-5583	6	20	advancing	advance	VERB
ejpam-5583	6	21	scientific	scientific	ADJ
ejpam-5583	6	22	and	and	CCONJ
ejpam-5583	6	23	engineering	engineering	NOUN
ejpam-5583	6	24	fields	field	NOUN
ejpam-5583	6	25	.	.	PUNCT
ejpam-5583	7	1	2020	2020	NUM
ejpam-5583	7	2	mathematics	mathematic	NOUN
ejpam-5583	7	3	subject	subject	NOUN
ejpam-5583	7	4	classifications	classification	NOUN
ejpam-5583	7	5	:	:	PUNCT
ejpam-5583	7	6	26a33	26a33	NUM
ejpam-5583	7	7	,	,	PUNCT
ejpam-5583	7	8	44a20	44a20	NUM
ejpam-5583	7	9	,	,	PUNCT
ejpam-5583	7	10	65f08	65f08	PRON
ejpam-5583	7	11	key	key	ADJ
ejpam-5583	7	12	words	word	NOUN
ejpam-5583	7	13	and	and	CCONJ
ejpam-5583	7	14	phrases	phrase	NOUN
ejpam-5583	7	15	:	:	PUNCT
ejpam-5583	7	16	sawi	sawi	ADJ
ejpam-5583	7	17	transform	transform	NOUN
ejpam-5583	7	18	,	,	PUNCT
ejpam-5583	7	19	fractional	fractional	ADJ
ejpam-5583	7	20	calculus	calculus	NOUN
ejpam-5583	7	21	,	,	PUNCT
ejpam-5583	7	22	caputo	caputo	PROPN
ejpam-5583	7	23	fractional	fractional	PROPN
ejpam-5583	7	24	derivative	derivative	ADJ
ejpam-5583	7	25	,	,	PUNCT
ejpam-5583	7	26	iterative	iterative	NOUN
ejpam-5583	7	27	method	method	NOUN
ejpam-5583	7	28	1	1	NUM
ejpam-5583	7	29	.	.	PUNCT
ejpam-5583	7	30	introduction	introduction	NOUN
ejpam-5583	7	31	in	in	ADP
ejpam-5583	7	32	the	the	DET
ejpam-5583	7	33	realm	realm	NOUN
ejpam-5583	7	34	of	of	ADP
ejpam-5583	7	35	applied	applied	ADJ
ejpam-5583	7	36	mathematics	mathematic	NOUN
ejpam-5583	7	37	,	,	PUNCT
ejpam-5583	7	38	the	the	DET
ejpam-5583	7	39	quest	quest	NOUN
ejpam-5583	7	40	for	for	ADP
ejpam-5583	7	41	efficient	efficient	ADJ
ejpam-5583	7	42	and	and	CCONJ
ejpam-5583	7	43	accurate	accurate	ADJ
ejpam-5583	7	44	methods	method	NOUN
ejpam-5583	7	45	to	to	PART
ejpam-5583	7	46	solve	solve	VERB
ejpam-5583	7	47	differential	differential	ADJ
ejpam-5583	7	48	equations	equation	NOUN
ejpam-5583	7	49	remains	remain	VERB
ejpam-5583	7	50	a	a	DET
ejpam-5583	7	51	pivotal	pivotal	ADJ
ejpam-5583	7	52	challenge	challenge	NOUN
ejpam-5583	7	53	[	[	X
ejpam-5583	7	54	6	6	NUM
ejpam-5583	7	55	,	,	PUNCT
ejpam-5583	7	56	10	10	NUM
ejpam-5583	7	57	]	]	PUNCT
ejpam-5583	7	58	.	.	PUNCT
ejpam-5583	8	1	differential	differential	ADJ
ejpam-5583	8	2	equations	equation	NOUN
ejpam-5583	8	3	,	,	PUNCT
ejpam-5583	8	4	both	both	PRON
ejpam-5583	8	5	ordinary	ordinary	ADJ
ejpam-5583	8	6	and	and	CCONJ
ejpam-5583	8	7	fractional	fractional	ADJ
ejpam-5583	8	8	,	,	PUNCT
ejpam-5583	8	9	are	be	AUX
ejpam-5583	8	10	instrumental	instrumental	ADJ
ejpam-5583	8	11	in	in	ADP
ejpam-5583	8	12	modelling	model	VERB
ejpam-5583	8	13	a	a	DET
ejpam-5583	8	14	wide	wide	ADJ
ejpam-5583	8	15	array	array	NOUN
ejpam-5583	8	16	of	of	ADP
ejpam-5583	8	17	physical	physical	ADJ
ejpam-5583	8	18	phenomena	phenomenon	NOUN
ejpam-5583	8	19	across	across	ADP
ejpam-5583	8	20	disciplines	discipline	NOUN
ejpam-5583	8	21	such	such	ADJ
ejpam-5583	8	22	as	as	ADP
ejpam-5583	8	23	physics	physics	NOUN
ejpam-5583	8	24	,	,	PUNCT
ejpam-5583	8	25	engineering	engineering	NOUN
ejpam-5583	8	26	,	,	PUNCT
ejpam-5583	8	27	biology	biology	NOUN
ejpam-5583	8	28	,	,	PUNCT
ejpam-5583	8	29	and	and	CCONJ
ejpam-5583	8	30	finance	finance	NOUN
ejpam-5583	8	31	[	[	X
ejpam-5583	8	32	7	7	NUM
ejpam-5583	8	33	,	,	PUNCT
ejpam-5583	8	34	22	22	NUM
ejpam-5583	8	35	]	]	PUNCT
ejpam-5583	8	36	.	.	PUNCT
ejpam-5583	9	1	traditional	traditional	ADJ
ejpam-5583	9	2	methods	method	NOUN
ejpam-5583	9	3	like	like	ADP
ejpam-5583	9	4	the	the	DET
ejpam-5583	9	5	runge	runge	NOUN
ejpam-5583	9	6	-	-	PUNCT
ejpam-5583	9	7	kutta	kutta	NOUN
ejpam-5583	9	8	method	method	NOUN
ejpam-5583	9	9	,	,	PUNCT
ejpam-5583	9	10	taylor	taylor	PROPN
ejpam-5583	9	11	series	series	PROPN
ejpam-5583	9	12	expansions	expansion	NOUN
ejpam-5583	9	13	,	,	PUNCT
ejpam-5583	9	14	finite	finite	ADJ
ejpam-5583	9	15	difference	difference	NOUN
ejpam-5583	9	16	methods	method	NOUN
ejpam-5583	9	17	,	,	PUNCT
ejpam-5583	9	18	and	and	CCONJ
ejpam-5583	9	19	various	various	ADJ
ejpam-5583	9	20	integral	integral	ADJ
ejpam-5583	9	21	transforms	transform	NOUN
ejpam-5583	9	22	have	have	AUX
ejpam-5583	9	23	long	long	ADV
ejpam-5583	9	24	been	be	AUX
ejpam-5583	9	25	utilized	utilize	VERB
ejpam-5583	9	26	for	for	ADP
ejpam-5583	9	27	solving	solve	VERB
ejpam-5583	9	28	these	these	DET
ejpam-5583	9	29	equations	equation	NOUN
ejpam-5583	9	30	[	[	X
ejpam-5583	9	31	8	8	NUM
ejpam-5583	9	32	]	]	PUNCT
ejpam-5583	9	33	,	,	PUNCT
ejpam-5583	9	34	but	but	CCONJ
ejpam-5583	9	35	they	they	PRON
ejpam-5583	9	36	often	often	ADV
ejpam-5583	9	37	fall	fall	VERB
ejpam-5583	9	38	short	short	ADJ
ejpam-5583	9	39	when	when	SCONJ
ejpam-5583	9	40	dealing	deal	VERB
ejpam-5583	9	41	with	with	ADP
ejpam-5583	9	42	more	more	ADV
ejpam-5583	9	43	complex	complex	ADJ
ejpam-5583	9	44	or	or	CCONJ
ejpam-5583	9	45	nonlinear	nonlinear	ADJ
ejpam-5583	9	46	problems	problem	NOUN
ejpam-5583	9	47	[	[	X
ejpam-5583	9	48	15	15	NUM
ejpam-5583	9	49	,	,	PUNCT
ejpam-5583	9	50	31	31	NUM
ejpam-5583	9	51	]	]	PUNCT
ejpam-5583	9	52	.	.	PUNCT
ejpam-5583	10	1	for	for	ADP
ejpam-5583	10	2	example	example	NOUN
ejpam-5583	10	3	,	,	PUNCT
ejpam-5583	10	4	stiff	stiff	ADJ
ejpam-5583	10	5	problems	problem	NOUN
ejpam-5583	10	6	and	and	CCONJ
ejpam-5583	10	7	differential	differential	VERB
ejpam-5583	10	8	algebraic	algebraic	ADJ
ejpam-5583	10	9	equations	equation	NOUN
ejpam-5583	10	10	require	require	VERB
ejpam-5583	10	11	specialized	specialized	ADJ
ejpam-5583	10	12	techniques	technique	NOUN
ejpam-5583	10	13	∗corresponding	∗corresponde	VERB
ejpam-5583	10	14	author	author	NOUN
ejpam-5583	10	15	.	.	PUNCT
ejpam-5583	11	1	doi	doi	NOUN
ejpam-5583	11	2	:	:	PUNCT
ejpam-5583	11	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5583	https://doi.org/10.29020/nybg.ejpam.v18i1.5583	NOUN
ejpam-5583	11	4	email	email	NOUN
ejpam-5583	11	5	addresses	address	NOUN
ejpam-5583	11	6	:	:	PUNCT
ejpam-5583	11	7	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADJ
ejpam-5583	11	8	(	(	PUNCT
ejpam-5583	11	9	r.	r.	PROPN
ejpam-5583	11	10	saadeh	saadeh	PROPN
ejpam-5583	11	11	)	)	PUNCT
ejpam-5583	11	12	,	,	PUNCT
ejpam-5583	11	13	20219144@zu.edu.jo	20219144@zu.edu.jo	NUM
ejpam-5583	11	14	(	(	PUNCT
ejpam-5583	11	15	a.	a.	PROPN
ejpam-5583	11	16	al	al	PROPN
ejpam-5583	11	17	-	-	PUNCT
ejpam-5583	11	18	wadi	wadi	PROPN
ejpam-5583	11	19	)	)	PUNCT
ejpam-5583	11	20	,	,	PUNCT
ejpam-5583	11	21	aqazza@zu.edu.jo	aqazza@zu.edu.jo	NOUN
ejpam-5583	11	22	(	(	PUNCT
ejpam-5583	11	23	a.	a.	NOUN
ejpam-5583	11	24	qazza	qazza	PROPN
ejpam-5583	11	25	)	)	PUNCT
ejpam-5583	11	26	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5583	11	27	1	1	NUM
ejpam-5583	11	28	copyright	copyright	NOUN
ejpam-5583	11	29	:	:	PUNCT
ejpam-5583	12	1	©	©	PROPN
ejpam-5583	12	2	2025	2025	NUM
ejpam-5583	12	3	the	the	DET
ejpam-5583	12	4	author(s	author(s	NOUN
ejpam-5583	12	5	)	)	PUNCT
ejpam-5583	12	6	.	.	PUNCT
ejpam-5583	13	1	(	(	PUNCT
ejpam-5583	13	2	cc	cc	NOUN
ejpam-5583	13	3	by	by	ADP
ejpam-5583	13	4	-	-	PUNCT
ejpam-5583	13	5	nc	nc	PROPN
ejpam-5583	13	6	4.0	4.0	NUM
ejpam-5583	13	7	)	)	PUNCT
ejpam-5583	13	8	r.	r.	PROPN
ejpam-5583	13	9	saadeh	saadeh	PROPN
ejpam-5583	13	10	,	,	PUNCT
ejpam-5583	13	11	a.	a.	PROPN
ejpam-5583	13	12	al	al	PROPN
ejpam-5583	13	13	-	-	PUNCT
ejpam-5583	13	14	wadi	wadi	PROPN
ejpam-5583	13	15	,	,	PUNCT
ejpam-5583	13	16	a.	a.	NOUN
ejpam-5583	13	17	qazza	qazza	PROPN
ejpam-5583	13	18	/	/	SYM
ejpam-5583	13	19	eur	eur	PROPN
ejpam-5583	13	20	.	.	PUNCT
ejpam-5583	14	1	j.	j.	PROPN
ejpam-5583	14	2	pure	pure	PROPN
ejpam-5583	14	3	appl	appl	PROPN
ejpam-5583	14	4	.	.	PROPN
ejpam-5583	14	5	math	math	PROPN
ejpam-5583	14	6	,	,	PUNCT
ejpam-5583	14	7	18	18	NUM
ejpam-5583	14	8	(	(	PUNCT
ejpam-5583	14	9	1	1	NUM
ejpam-5583	14	10	)	)	PUNCT
ejpam-5583	14	11	(	(	PUNCT
ejpam-5583	14	12	2025	2025	NUM
ejpam-5583	14	13	)	)	PUNCT
ejpam-5583	14	14	,	,	PUNCT
ejpam-5583	14	15	5583	5583	NUM
ejpam-5583	14	16	2	2	NUM
ejpam-5583	14	17	of	of	ADP
ejpam-5583	14	18	16	16	NUM
ejpam-5583	15	1	[	[	X
ejpam-5583	15	2	9	9	NUM
ejpam-5583	15	3	]	]	PUNCT
ejpam-5583	15	4	,	,	PUNCT
ejpam-5583	15	5	while	while	SCONJ
ejpam-5583	15	6	parallel	parallel	ADJ
ejpam-5583	15	7	computing	computing	NOUN
ejpam-5583	15	8	methods	method	NOUN
ejpam-5583	15	9	like	like	ADP
ejpam-5583	15	10	domain	domain	NOUN
ejpam-5583	15	11	decomposition	decomposition	NOUN
ejpam-5583	15	12	and	and	CCONJ
ejpam-5583	15	13	multigrid	multigrid	NOUN
ejpam-5583	15	14	algorithms	algorithm	NOUN
ejpam-5583	15	15	offer	offer	VERB
ejpam-5583	15	16	improved	improved	ADJ
ejpam-5583	15	17	performance	performance	NOUN
ejpam-5583	15	18	for	for	ADP
ejpam-5583	15	19	complex	complex	ADJ
ejpam-5583	15	20	problems	problem	NOUN
ejpam-5583	15	21	[	[	X
ejpam-5583	15	22	11	11	NUM
ejpam-5583	15	23	,	,	PUNCT
ejpam-5583	15	24	12	12	NUM
ejpam-5583	15	25	]	]	PUNCT
ejpam-5583	15	26	.	.	PUNCT
ejpam-5583	16	1	several	several	ADJ
ejpam-5583	16	2	innovative	innovative	ADJ
ejpam-5583	16	3	methods	method	NOUN
ejpam-5583	16	4	have	have	AUX
ejpam-5583	16	5	been	be	AUX
ejpam-5583	16	6	proposed	propose	VERB
ejpam-5583	16	7	and	and	CCONJ
ejpam-5583	16	8	refined	refine	VERB
ejpam-5583	16	9	to	to	PART
ejpam-5583	16	10	tackle	tackle	VERB
ejpam-5583	16	11	the	the	DET
ejpam-5583	16	12	challenges	challenge	NOUN
ejpam-5583	16	13	posed	pose	VERB
ejpam-5583	16	14	by	by	ADP
ejpam-5583	16	15	fractional	fractional	ADJ
ejpam-5583	16	16	differential	differential	ADJ
ejpam-5583	16	17	equations	equation	NOUN
ejpam-5583	16	18	.	.	PUNCT
ejpam-5583	17	1	the	the	DET
ejpam-5583	17	2	homotopy	homotopy	NOUN
ejpam-5583	17	3	analysis	analysis	NOUN
ejpam-5583	17	4	method	method	NOUN
ejpam-5583	17	5	(	(	PUNCT
ejpam-5583	17	6	ham	ham	NOUN
ejpam-5583	17	7	)	)	PUNCT
ejpam-5583	17	8	,	,	PUNCT
ejpam-5583	17	9	for	for	ADP
ejpam-5583	17	10	instance	instance	NOUN
ejpam-5583	17	11	,	,	PUNCT
ejpam-5583	17	12	has	have	AUX
ejpam-5583	17	13	been	be	AUX
ejpam-5583	17	14	utilized	utilize	VERB
ejpam-5583	17	15	to	to	PART
ejpam-5583	17	16	find	find	VERB
ejpam-5583	17	17	solutions	solution	NOUN
ejpam-5583	17	18	of	of	ADP
ejpam-5583	17	19	partial	partial	ADJ
ejpam-5583	17	20	differential	differential	ADJ
ejpam-5583	17	21	equations	equation	NOUN
ejpam-5583	17	22	within	within	ADP
ejpam-5583	17	23	fuzzy	fuzzy	ADJ
ejpam-5583	17	24	environments	environment	NOUN
ejpam-5583	17	25	,	,	PUNCT
ejpam-5583	17	26	enhancing	enhance	VERB
ejpam-5583	17	27	analytical	analytical	ADJ
ejpam-5583	17	28	capabilities	capability	NOUN
ejpam-5583	17	29	in	in	ADP
ejpam-5583	17	30	uncertain	uncertain	ADJ
ejpam-5583	17	31	systems	system	NOUN
ejpam-5583	17	32	[	[	X
ejpam-5583	17	33	4	4	NUM
ejpam-5583	17	34	,	,	PUNCT
ejpam-5583	17	35	19	19	NUM
ejpam-5583	17	36	]	]	PUNCT
ejpam-5583	17	37	.	.	PUNCT
ejpam-5583	18	1	similarly	similarly	ADV
ejpam-5583	18	2	,	,	PUNCT
ejpam-5583	18	3	the	the	DET
ejpam-5583	18	4	ara	ara	ADJ
ejpam-5583	18	5	-	-	PUNCT
ejpam-5583	18	6	residual	residual	ADJ
ejpam-5583	18	7	power	power	NOUN
ejpam-5583	18	8	series	series	NOUN
ejpam-5583	18	9	method	method	NOUN
ejpam-5583	18	10	has	have	AUX
ejpam-5583	18	11	been	be	AUX
ejpam-5583	18	12	effectively	effectively	ADV
ejpam-5583	18	13	applied	apply	VERB
ejpam-5583	18	14	to	to	PART
ejpam-5583	18	15	solve	solve	VERB
ejpam-5583	18	16	systems	system	NOUN
ejpam-5583	18	17	of	of	ADP
ejpam-5583	18	18	fractional	fractional	ADJ
ejpam-5583	18	19	differential	differential	ADJ
ejpam-5583	18	20	equations	equation	NOUN
ejpam-5583	18	21	,	,	PUNCT
ejpam-5583	18	22	demonstrating	demonstrate	VERB
ejpam-5583	18	23	its	its	PRON
ejpam-5583	18	24	potential	potential	NOUN
ejpam-5583	18	25	in	in	ADP
ejpam-5583	18	26	handling	handle	VERB
ejpam-5583	18	27	complex	complex	ADJ
ejpam-5583	18	28	fractional	fractional	ADJ
ejpam-5583	18	29	systems	system	NOUN
ejpam-5583	18	30	[	[	X
ejpam-5583	18	31	14	14	NUM
ejpam-5583	18	32	]	]	PUNCT
ejpam-5583	18	33	.	.	PUNCT
ejpam-5583	19	1	researchers	researcher	NOUN
ejpam-5583	19	2	have	have	AUX
ejpam-5583	19	3	also	also	ADV
ejpam-5583	19	4	worked	work	VERB
ejpam-5583	19	5	on	on	ADP
ejpam-5583	19	6	establishing	establish	VERB
ejpam-5583	19	7	general	general	ADJ
ejpam-5583	19	8	formulas	formula	NOUN
ejpam-5583	19	9	of	of	ADP
ejpam-5583	19	10	integrals	integral	NOUN
ejpam-5583	19	11	through	through	ADP
ejpam-5583	19	12	master	master	NOUN
ejpam-5583	19	13	theorems	theorem	NOUN
ejpam-5583	19	14	,	,	PUNCT
ejpam-5583	19	15	which	which	PRON
ejpam-5583	19	16	are	be	AUX
ejpam-5583	19	17	instrumental	instrumental	ADJ
ejpam-5583	19	18	in	in	ADP
ejpam-5583	19	19	the	the	DET
ejpam-5583	19	20	mathematical	mathematical	ADJ
ejpam-5583	19	21	analysis	analysis	NOUN
ejpam-5583	19	22	of	of	ADP
ejpam-5583	19	23	fractional	fractional	ADJ
ejpam-5583	19	24	equations	equation	NOUN
ejpam-5583	19	25	[	[	X
ejpam-5583	19	26	13	13	NUM
ejpam-5583	19	27	,	,	PUNCT
ejpam-5583	19	28	29	29	NUM
ejpam-5583	19	29	]	]	PUNCT
ejpam-5583	19	30	.	.	PUNCT
ejpam-5583	20	1	analytical	analytical	ADJ
ejpam-5583	20	2	solutions	solution	NOUN
ejpam-5583	20	3	to	to	AUX
ejpam-5583	20	4	coupled	couple	VERB
ejpam-5583	20	5	nonlinear	nonlinear	ADJ
ejpam-5583	20	6	equations	equation	NOUN
ejpam-5583	20	7	,	,	PUNCT
ejpam-5583	20	8	such	such	ADJ
ejpam-5583	20	9	as	as	ADP
ejpam-5583	20	10	the	the	DET
ejpam-5583	20	11	hirota	hirota	NOUN
ejpam-5583	20	12	–	–	PUNCT
ejpam-5583	20	13	satsuma	satsuma	NOUN
ejpam-5583	20	14	and	and	CCONJ
ejpam-5583	20	15	korteweg	korteweg	PROPN
ejpam-5583	20	16	–	–	PUNCT
ejpam-5583	20	17	de	de	PROPN
ejpam-5583	20	18	vries	vries	PROPN
ejpam-5583	20	19	(	(	PUNCT
ejpam-5583	20	20	kdv	kdv	PROPN
ejpam-5583	20	21	)	)	PUNCT
ejpam-5583	20	22	equations	equation	NOUN
ejpam-5583	20	23	,	,	PUNCT
ejpam-5583	20	24	have	have	AUX
ejpam-5583	20	25	been	be	AUX
ejpam-5583	20	26	derived	derive	VERB
ejpam-5583	20	27	,	,	PUNCT
ejpam-5583	20	28	contributing	contribute	VERB
ejpam-5583	20	29	to	to	ADP
ejpam-5583	20	30	the	the	DET
ejpam-5583	20	31	understanding	understanding	NOUN
ejpam-5583	20	32	of	of	ADP
ejpam-5583	20	33	nonlinear	nonlinear	ADJ
ejpam-5583	20	34	wave	wave	NOUN
ejpam-5583	20	35	phenomena	phenomena	PROPN
ejpam-5583	21	1	[	[	X
ejpam-5583	21	2	30	30	NUM
ejpam-5583	21	3	]	]	PUNCT
ejpam-5583	21	4	.	.	PUNCT
ejpam-5583	22	1	new	new	ADJ
ejpam-5583	22	2	schemes	scheme	NOUN
ejpam-5583	22	3	for	for	ADP
ejpam-5583	22	4	solving	solve	VERB
ejpam-5583	22	5	fractional	fractional	ADJ
ejpam-5583	22	6	partial	partial	ADJ
ejpam-5583	22	7	differential	differential	NOUN
ejpam-5583	22	8	equations	equation	NOUN
ejpam-5583	22	9	have	have	AUX
ejpam-5583	22	10	been	be	AUX
ejpam-5583	22	11	proposed	propose	VERB
ejpam-5583	22	12	,	,	PUNCT
ejpam-5583	22	13	offering	offer	VERB
ejpam-5583	22	14	alternative	alternative	ADJ
ejpam-5583	22	15	approaches	approach	NOUN
ejpam-5583	22	16	to	to	ADP
ejpam-5583	22	17	existing	exist	VERB
ejpam-5583	22	18	methods	method	NOUN
ejpam-5583	22	19	[	[	X
ejpam-5583	22	20	2	2	NUM
ejpam-5583	22	21	]	]	PUNCT
ejpam-5583	22	22	.	.	PUNCT
ejpam-5583	23	1	the	the	DET
ejpam-5583	23	2	application	application	NOUN
ejpam-5583	23	3	of	of	ADP
ejpam-5583	23	4	fractional	fractional	ADJ
ejpam-5583	23	5	calculus	calculus	NOUN
ejpam-5583	23	6	extends	extend	VERB
ejpam-5583	23	7	to	to	ADP
ejpam-5583	23	8	modeling	modeling	NOUN
ejpam-5583	23	9	and	and	CCONJ
ejpam-5583	23	10	analyzing	analyze	VERB
ejpam-5583	23	11	chaotic	chaotic	ADJ
ejpam-5583	23	12	systems	system	NOUN
ejpam-5583	23	13	.	.	PUNCT
ejpam-5583	24	1	for	for	ADP
ejpam-5583	24	2	example	example	NOUN
ejpam-5583	24	3	,	,	PUNCT
ejpam-5583	24	4	the	the	DET
ejpam-5583	24	5	simplest	simple	ADJ
ejpam-5583	24	6	chaotic	chaotic	ADJ
ejpam-5583	24	7	circuit	circuit	NOUN
ejpam-5583	24	8	model	model	NOUN
ejpam-5583	24	9	has	have	AUX
ejpam-5583	24	10	been	be	AUX
ejpam-5583	24	11	studied	study	VERB
ejpam-5583	24	12	using	use	VERB
ejpam-5583	24	13	the	the	DET
ejpam-5583	24	14	atangana	atangana	PROPN
ejpam-5583	24	15	–	–	PUNCT
ejpam-5583	24	16	baleanu	baleanu	PROPN
ejpam-5583	24	17	caputo	caputo	PROPN
ejpam-5583	24	18	fractional	fractional	PROPN
ejpam-5583	24	19	derivative	derivative	PROPN
ejpam-5583	24	20	,	,	PUNCT
ejpam-5583	24	21	providing	provide	VERB
ejpam-5583	24	22	insights	insight	NOUN
ejpam-5583	24	23	into	into	ADP
ejpam-5583	24	24	the	the	DET
ejpam-5583	24	25	system	system	NOUN
ejpam-5583	24	26	’s	’s	PART
ejpam-5583	24	27	numerical	numerical	ADJ
ejpam-5583	24	28	behavior	behavior	NOUN
ejpam-5583	25	1	[	[	X
ejpam-5583	25	2	5	5	NUM
ejpam-5583	25	3	]	]	PUNCT
ejpam-5583	25	4	.	.	PUNCT
ejpam-5583	26	1	the	the	DET
ejpam-5583	26	2	dynamics	dynamic	NOUN
ejpam-5583	26	3	of	of	ADP
ejpam-5583	26	4	fractional	fractional	ADJ
ejpam-5583	26	5	discrete	discrete	ADJ
ejpam-5583	26	6	predator	predator	NOUN
ejpam-5583	26	7	–	–	PUNCT
ejpam-5583	26	8	prey	prey	NOUN
ejpam-5583	26	9	models	model	NOUN
ejpam-5583	26	10	have	have	AUX
ejpam-5583	26	11	been	be	AUX
ejpam-5583	26	12	explored	explore	VERB
ejpam-5583	26	13	with	with	ADP
ejpam-5583	26	14	a	a	DET
ejpam-5583	26	15	focus	focus	NOUN
ejpam-5583	26	16	on	on	ADP
ejpam-5583	26	17	chaos	chaos	NOUN
ejpam-5583	26	18	,	,	PUNCT
ejpam-5583	26	19	control	control	NOUN
ejpam-5583	26	20	,	,	PUNCT
ejpam-5583	26	21	and	and	CCONJ
ejpam-5583	26	22	synchronization	synchronization	NOUN
ejpam-5583	26	23	,	,	PUNCT
ejpam-5583	26	24	highlighting	highlight	VERB
ejpam-5583	26	25	the	the	DET
ejpam-5583	26	26	complex	complex	ADJ
ejpam-5583	26	27	interactions	interaction	NOUN
ejpam-5583	26	28	within	within	ADP
ejpam-5583	26	29	biological	biological	ADJ
ejpam-5583	26	30	systems	system	NOUN
ejpam-5583	26	31	[	[	X
ejpam-5583	26	32	28	28	NUM
ejpam-5583	26	33	]	]	PUNCT
ejpam-5583	26	34	.	.	PUNCT
ejpam-5583	27	1	furthermore	furthermore	ADV
ejpam-5583	27	2	,	,	PUNCT
ejpam-5583	27	3	integrating	integrate	VERB
ejpam-5583	27	4	machine	machine	NOUN
ejpam-5583	27	5	learning	learning	NOUN
ejpam-5583	27	6	techniques	technique	NOUN
ejpam-5583	27	7	,	,	PUNCT
ejpam-5583	27	8	such	such	ADJ
ejpam-5583	27	9	as	as	ADP
ejpam-5583	27	10	physics	physics	NOUN
ejpam-5583	27	11	-	-	PUNCT
ejpam-5583	27	12	informed	inform	VERB
ejpam-5583	27	13	neural	neural	ADJ
ejpam-5583	27	14	networks	network	NOUN
ejpam-5583	27	15	,	,	PUNCT
ejpam-5583	27	16	has	have	AUX
ejpam-5583	27	17	shown	show	VERB
ejpam-5583	27	18	promise	promise	NOUN
ejpam-5583	27	19	in	in	ADP
ejpam-5583	27	20	predicting	predict	VERB
ejpam-5583	27	21	thermal	thermal	ADJ
ejpam-5583	27	22	distributions	distribution	NOUN
ejpam-5583	27	23	in	in	ADP
ejpam-5583	27	24	convective	convective	ADJ
ejpam-5583	27	25	wavy	wavy	ADJ
ejpam-5583	27	26	fins	fin	NOUN
ejpam-5583	27	27	,	,	PUNCT
ejpam-5583	27	28	bridging	bridge	VERB
ejpam-5583	27	29	the	the	DET
ejpam-5583	27	30	gap	gap	NOUN
ejpam-5583	27	31	between	between	ADP
ejpam-5583	27	32	computational	computational	ADJ
ejpam-5583	27	33	methods	method	NOUN
ejpam-5583	27	34	and	and	CCONJ
ejpam-5583	27	35	practical	practical	ADJ
ejpam-5583	27	36	applications	application	NOUN
ejpam-5583	27	37	[	[	X
ejpam-5583	27	38	26	26	NUM
ejpam-5583	27	39	]	]	PUNCT
ejpam-5583	27	40	.	.	PUNCT
ejpam-5583	28	1	recently	recently	ADV
ejpam-5583	28	2	,	,	PUNCT
ejpam-5583	28	3	the	the	DET
ejpam-5583	28	4	sawi	sawi	ADJ
ejpam-5583	28	5	transform	transform	NOUN
ejpam-5583	28	6	(	(	PUNCT
ejpam-5583	28	7	swt	swt	PROPN
ejpam-5583	28	8	)	)	PUNCT
ejpam-5583	28	9	has	have	AUX
ejpam-5583	28	10	emerged	emerge	VERB
ejpam-5583	28	11	as	as	ADP
ejpam-5583	28	12	a	a	DET
ejpam-5583	28	13	promising	promising	ADJ
ejpam-5583	28	14	tool	tool	NOUN
ejpam-5583	28	15	,	,	PUNCT
ejpam-5583	28	16	offering	offer	VERB
ejpam-5583	28	17	novel	novel	ADJ
ejpam-5583	28	18	capabilities	capability	NOUN
ejpam-5583	28	19	and	and	CCONJ
ejpam-5583	28	20	enhanced	enhance	VERB
ejpam-5583	28	21	flexibility	flexibility	NOUN
ejpam-5583	28	22	in	in	ADP
ejpam-5583	28	23	handling	handle	VERB
ejpam-5583	28	24	a	a	DET
ejpam-5583	28	25	broader	broad	ADJ
ejpam-5583	28	26	class	class	NOUN
ejpam-5583	28	27	of	of	ADP
ejpam-5583	28	28	differential	differential	ADJ
ejpam-5583	28	29	equations	equation	NOUN
ejpam-5583	28	30	.	.	PUNCT
ejpam-5583	29	1	the	the	DET
ejpam-5583	29	2	swt	swt	PROPN
ejpam-5583	29	3	,	,	PUNCT
ejpam-5583	29	4	which	which	PRON
ejpam-5583	29	5	mahgoub	mahgoub	NOUN
ejpam-5583	29	6	and	and	CCONJ
ejpam-5583	29	7	mohand	mohand	NOUN
ejpam-5583	29	8	introduced	introduce	VERB
ejpam-5583	29	9	in	in	ADP
ejpam-5583	29	10	2019	2019	NUM
ejpam-5583	29	11	,	,	PUNCT
ejpam-5583	29	12	has	have	AUX
ejpam-5583	29	13	shown	show	VERB
ejpam-5583	29	14	to	to	PART
ejpam-5583	29	15	have	have	VERB
ejpam-5583	29	16	significant	significant	ADJ
ejpam-5583	29	17	potential	potential	NOUN
ejpam-5583	29	18	for	for	ADP
ejpam-5583	29	19	simplifying	simplify	VERB
ejpam-5583	29	20	and	and	CCONJ
ejpam-5583	29	21	solving	solve	VERB
ejpam-5583	29	22	various	various	ADJ
ejpam-5583	29	23	types	type	NOUN
ejpam-5583	29	24	of	of	ADP
ejpam-5583	29	25	differential	differential	ADJ
ejpam-5583	29	26	equations	equation	NOUN
ejpam-5583	29	27	[	[	X
ejpam-5583	29	28	1	1	NUM
ejpam-5583	29	29	,	,	PUNCT
ejpam-5583	29	30	3	3	NUM
ejpam-5583	29	31	]	]	PUNCT
ejpam-5583	29	32	.	.	PUNCT
ejpam-5583	30	1	its	its	PRON
ejpam-5583	30	2	unique	unique	ADJ
ejpam-5583	30	3	properties	property	NOUN
ejpam-5583	30	4	,	,	PUNCT
ejpam-5583	30	5	including	include	VERB
ejpam-5583	30	6	linearity	linearity	NOUN
ejpam-5583	30	7	,	,	PUNCT
ejpam-5583	30	8	scaling	scaling	NOUN
ejpam-5583	30	9	,	,	PUNCT
ejpam-5583	30	10	shifting	shift	VERB
ejpam-5583	30	11	,	,	PUNCT
ejpam-5583	30	12	and	and	CCONJ
ejpam-5583	30	13	convolution	convolution	NOUN
ejpam-5583	30	14	,	,	PUNCT
ejpam-5583	30	15	make	make	VERB
ejpam-5583	30	16	it	it	PRON
ejpam-5583	30	17	particularly	particularly	ADV
ejpam-5583	30	18	useful	useful	ADJ
ejpam-5583	30	19	for	for	ADP
ejpam-5583	30	20	transforming	transform	VERB
ejpam-5583	30	21	complex	complex	ADJ
ejpam-5583	30	22	differential	differential	ADJ
ejpam-5583	30	23	problems	problem	NOUN
ejpam-5583	30	24	into	into	ADP
ejpam-5583	30	25	more	more	ADV
ejpam-5583	30	26	manageable	manageable	ADJ
ejpam-5583	30	27	algebraic	algebraic	ADJ
ejpam-5583	30	28	forms	form	NOUN
ejpam-5583	30	29	.	.	PUNCT
ejpam-5583	31	1	moreover	moreover	ADV
ejpam-5583	31	2	,	,	PUNCT
ejpam-5583	31	3	the	the	DET
ejpam-5583	31	4	swt	swt	PROPN
ejpam-5583	31	5	has	have	AUX
ejpam-5583	31	6	been	be	AUX
ejpam-5583	31	7	extended	extend	VERB
ejpam-5583	31	8	to	to	PART
ejpam-5583	31	9	solve	solve	VERB
ejpam-5583	31	10	boundary	boundary	ADJ
ejpam-5583	31	11	value	value	NOUN
ejpam-5583	31	12	problems	problem	NOUN
ejpam-5583	31	13	[	[	X
ejpam-5583	31	14	20	20	NUM
ejpam-5583	31	15	,	,	PUNCT
ejpam-5583	31	16	25	25	NUM
ejpam-5583	31	17	]	]	PUNCT
ejpam-5583	31	18	,	,	PUNCT
ejpam-5583	31	19	evaluate	evaluate	VERB
ejpam-5583	31	20	improper	improper	ADJ
ejpam-5583	31	21	integrals	integral	NOUN
ejpam-5583	31	22	,	,	PUNCT
ejpam-5583	31	23	and	and	CCONJ
ejpam-5583	31	24	integrate	integrate	VERB
ejpam-5583	31	25	with	with	ADP
ejpam-5583	31	26	iterative	iterative	ADJ
ejpam-5583	31	27	methods	method	NOUN
ejpam-5583	31	28	to	to	PART
ejpam-5583	31	29	solve	solve	VERB
ejpam-5583	31	30	nonlinear	nonlinear	ADJ
ejpam-5583	31	31	integro	integro	ADJ
ejpam-5583	31	32	-	-	PUNCT
ejpam-5583	31	33	differential	differential	NOUN
ejpam-5583	31	34	equations	equation	NOUN
ejpam-5583	31	35	,	,	PUNCT
ejpam-5583	31	36	showcasing	showcase	VERB
ejpam-5583	31	37	its	its	PRON
ejpam-5583	31	38	versatility	versatility	NOUN
ejpam-5583	31	39	and	and	CCONJ
ejpam-5583	31	40	effectiveness	effectiveness	NOUN
ejpam-5583	31	41	[	[	X
ejpam-5583	31	42	16	16	NUM
ejpam-5583	31	43	,	,	PUNCT
ejpam-5583	31	44	17	17	NUM
ejpam-5583	31	45	,	,	PUNCT
ejpam-5583	31	46	24	24	NUM
ejpam-5583	31	47	]	]	PUNCT
ejpam-5583	31	48	.	.	PUNCT
ejpam-5583	32	1	it	it	PRON
ejpam-5583	32	2	is	be	AUX
ejpam-5583	32	3	better	well	ADJ
ejpam-5583	32	4	to	to	PART
ejpam-5583	32	5	use	use	VERB
ejpam-5583	32	6	iterative	iterative	NOUN
ejpam-5583	32	7	methods	method	NOUN
ejpam-5583	32	8	along	along	ADP
ejpam-5583	32	9	with	with	ADP
ejpam-5583	32	10	the	the	DET
ejpam-5583	32	11	swt	swt	PROPN
ejpam-5583	32	12	to	to	PART
ejpam-5583	32	13	solve	solve	VERB
ejpam-5583	32	14	problems	problem	NOUN
ejpam-5583	32	15	,	,	PUNCT
ejpam-5583	32	16	especially	especially	ADV
ejpam-5583	32	17	fractional	fractional	ADJ
ejpam-5583	32	18	differential	differential	ADJ
ejpam-5583	32	19	equations	equation	NOUN
ejpam-5583	32	20	and	and	CCONJ
ejpam-5583	32	21	ordinary	ordinary	ADJ
ejpam-5583	32	22	differential	differential	ADJ
ejpam-5583	32	23	equations	equation	NOUN
ejpam-5583	32	24	.	.	PUNCT
ejpam-5583	33	1	iterative	iterative	NOUN
ejpam-5583	33	2	methods	method	NOUN
ejpam-5583	33	3	,	,	PUNCT
ejpam-5583	33	4	known	know	VERB
ejpam-5583	33	5	for	for	ADP
ejpam-5583	33	6	their	their	PRON
ejpam-5583	33	7	efficiency	efficiency	NOUN
ejpam-5583	33	8	in	in	ADP
ejpam-5583	33	9	refining	refining	NOUN
ejpam-5583	33	10	solutions	solution	NOUN
ejpam-5583	33	11	and	and	CCONJ
ejpam-5583	33	12	ensuring	ensure	VERB
ejpam-5583	33	13	convergence	convergence	NOUN
ejpam-5583	33	14	,	,	PUNCT
ejpam-5583	33	15	have	have	AUX
ejpam-5583	33	16	been	be	AUX
ejpam-5583	33	17	widely	widely	ADV
ejpam-5583	33	18	used	use	VERB
ejpam-5583	33	19	in	in	ADP
ejpam-5583	33	20	numerical	numerical	ADJ
ejpam-5583	33	21	analysis	analysis	NOUN
ejpam-5583	33	22	and	and	CCONJ
ejpam-5583	33	23	computational	computational	ADJ
ejpam-5583	33	24	mathematics	mathematic	NOUN
ejpam-5583	33	25	.	.	PUNCT
ejpam-5583	34	1	the	the	DET
ejpam-5583	34	2	combination	combination	NOUN
ejpam-5583	34	3	of	of	ADP
ejpam-5583	34	4	these	these	DET
ejpam-5583	34	5	methods	method	NOUN
ejpam-5583	34	6	with	with	ADP
ejpam-5583	34	7	the	the	DET
ejpam-5583	34	8	swt	swt	PROPN
ejpam-5583	34	9	particularly	particularly	ADV
ejpam-5583	34	10	,	,	PUNCT
ejpam-5583	34	11	the	the	DET
ejpam-5583	34	12	sawi	sawi	ADJ
ejpam-5583	34	13	iterative	iterative	NOUN
ejpam-5583	34	14	method	method	NOUN
ejpam-5583	34	15	(	(	PUNCT
ejpam-5583	34	16	sim	sim	NOUN
ejpam-5583	34	17	)	)	PUNCT
ejpam-5583	34	18	,	,	PUNCT
ejpam-5583	34	19	has	have	AUX
ejpam-5583	34	20	proven	prove	VERB
ejpam-5583	34	21	effective	effective	ADJ
ejpam-5583	34	22	in	in	ADP
ejpam-5583	34	23	tackling	tackle	VERB
ejpam-5583	34	24	nonlinear	nonlinear	ADJ
ejpam-5583	34	25	and	and	CCONJ
ejpam-5583	34	26	complex	complex	ADJ
ejpam-5583	34	27	differential	differential	ADJ
ejpam-5583	34	28	equations	equation	NOUN
ejpam-5583	34	29	,	,	PUNCT
ejpam-5583	34	30	ensuring	ensure	VERB
ejpam-5583	34	31	robust	robust	ADJ
ejpam-5583	34	32	and	and	CCONJ
ejpam-5583	34	33	accurate	accurate	ADJ
ejpam-5583	34	34	solutions	solution	NOUN
ejpam-5583	34	35	[	[	X
ejpam-5583	34	36	23	23	NUM
ejpam-5583	34	37	,	,	PUNCT
ejpam-5583	34	38	27	27	NUM
ejpam-5583	34	39	]	]	PUNCT
ejpam-5583	34	40	.	.	PUNCT
ejpam-5583	35	1	recent	recent	ADJ
ejpam-5583	35	2	research	research	NOUN
ejpam-5583	35	3	has	have	AUX
ejpam-5583	35	4	highlighted	highlight	VERB
ejpam-5583	35	5	the	the	DET
ejpam-5583	35	6	practical	practical	ADJ
ejpam-5583	35	7	utility	utility	NOUN
ejpam-5583	35	8	of	of	ADP
ejpam-5583	35	9	this	this	DET
ejpam-5583	35	10	approach	approach	NOUN
ejpam-5583	35	11	in	in	ADP
ejpam-5583	35	12	solving	solve	VERB
ejpam-5583	35	13	delay	delay	NOUN
ejpam-5583	35	14	differential	differential	ADJ
ejpam-5583	35	15	equations	equation	NOUN
ejpam-5583	35	16	and	and	CCONJ
ejpam-5583	35	17	other	other	ADJ
ejpam-5583	35	18	complex	complex	ADJ
ejpam-5583	35	19	mathematical	mathematical	ADJ
ejpam-5583	35	20	problems	problem	NOUN
ejpam-5583	35	21	,	,	PUNCT
ejpam-5583	35	22	thereby	thereby	ADV
ejpam-5583	35	23	expanding	expand	VERB
ejpam-5583	35	24	the	the	DET
ejpam-5583	35	25	toolkit	toolkit	NOUN
ejpam-5583	35	26	available	available	ADJ
ejpam-5583	35	27	to	to	ADP
ejpam-5583	35	28	researchers	researcher	NOUN
ejpam-5583	35	29	and	and	CCONJ
ejpam-5583	35	30	practitioners	practitioner	NOUN
ejpam-5583	35	31	[	[	X
ejpam-5583	35	32	18	18	NUM
ejpam-5583	35	33	,	,	PUNCT
ejpam-5583	35	34	21	21	NUM
ejpam-5583	35	35	]	]	PUNCT
ejpam-5583	35	36	.	.	PUNCT
ejpam-5583	36	1	r.	r.	PROPN
ejpam-5583	36	2	saadeh	saadeh	PROPN
ejpam-5583	36	3	,	,	PUNCT
ejpam-5583	36	4	a.	a.	PROPN
ejpam-5583	36	5	al	al	PROPN
ejpam-5583	36	6	-	-	PUNCT
ejpam-5583	36	7	wadi	wadi	PROPN
ejpam-5583	36	8	,	,	PUNCT
ejpam-5583	36	9	a.	a.	NOUN
ejpam-5583	36	10	qazza	qazza	PROPN
ejpam-5583	36	11	/	/	SYM
ejpam-5583	36	12	eur	eur	PROPN
ejpam-5583	36	13	.	.	PUNCT
ejpam-5583	37	1	j.	j.	PROPN
ejpam-5583	37	2	pure	pure	PROPN
ejpam-5583	37	3	appl	appl	PROPN
ejpam-5583	37	4	.	.	PROPN
ejpam-5583	37	5	math	math	PROPN
ejpam-5583	37	6	,	,	PUNCT
ejpam-5583	37	7	18	18	NUM
ejpam-5583	37	8	(	(	PUNCT
ejpam-5583	37	9	1	1	NUM
ejpam-5583	37	10	)	)	PUNCT
ejpam-5583	37	11	(	(	PUNCT
ejpam-5583	37	12	2025	2025	NUM
ejpam-5583	37	13	)	)	PUNCT
ejpam-5583	37	14	,	,	PUNCT
ejpam-5583	37	15	5583	5583	NUM
ejpam-5583	37	16	3	3	NUM
ejpam-5583	37	17	of	of	ADP
ejpam-5583	37	18	16	16	NUM
ejpam-5583	37	19	this	this	DET
ejpam-5583	37	20	paper	paper	NOUN
ejpam-5583	37	21	aims	aim	VERB
ejpam-5583	37	22	to	to	PART
ejpam-5583	37	23	explore	explore	VERB
ejpam-5583	37	24	the	the	DET
ejpam-5583	37	25	extensive	extensive	ADJ
ejpam-5583	37	26	capabilities	capability	NOUN
ejpam-5583	37	27	of	of	ADP
ejpam-5583	37	28	the	the	DET
ejpam-5583	37	29	swt	swt	PROPN
ejpam-5583	37	30	by	by	ADP
ejpam-5583	37	31	integrating	integrate	VERB
ejpam-5583	37	32	it	it	PRON
ejpam-5583	37	33	with	with	ADP
ejpam-5583	37	34	iterative	iterative	ADJ
ejpam-5583	37	35	methods	method	NOUN
ejpam-5583	37	36	to	to	PART
ejpam-5583	37	37	enhance	enhance	VERB
ejpam-5583	37	38	the	the	DET
ejpam-5583	37	39	solutions	solution	NOUN
ejpam-5583	37	40	of	of	ADP
ejpam-5583	37	41	both	both	CCONJ
ejpam-5583	37	42	ordinary	ordinary	ADJ
ejpam-5583	37	43	and	and	CCONJ
ejpam-5583	37	44	fractional	fractional	ADJ
ejpam-5583	37	45	differential	differential	ADJ
ejpam-5583	37	46	equations	equation	NOUN
ejpam-5583	37	47	.	.	PUNCT
ejpam-5583	38	1	by	by	ADP
ejpam-5583	38	2	leveraging	leverage	VERB
ejpam-5583	38	3	these	these	DET
ejpam-5583	38	4	combined	combine	VERB
ejpam-5583	38	5	techniques	technique	NOUN
ejpam-5583	38	6	,	,	PUNCT
ejpam-5583	38	7	we	we	PRON
ejpam-5583	38	8	aim	aim	VERB
ejpam-5583	38	9	to	to	PART
ejpam-5583	38	10	provide	provide	VERB
ejpam-5583	38	11	more	more	ADV
ejpam-5583	38	12	robust	robust	ADJ
ejpam-5583	38	13	and	and	CCONJ
ejpam-5583	38	14	precise	precise	ADJ
ejpam-5583	38	15	solutions	solution	NOUN
ejpam-5583	38	16	,	,	PUNCT
ejpam-5583	38	17	thereby	thereby	ADV
ejpam-5583	38	18	expanding	expand	VERB
ejpam-5583	38	19	the	the	DET
ejpam-5583	38	20	toolkit	toolkit	NOUN
ejpam-5583	38	21	available	available	ADJ
ejpam-5583	38	22	to	to	ADP
ejpam-5583	38	23	researchers	researcher	NOUN
ejpam-5583	38	24	and	and	CCONJ
ejpam-5583	38	25	practitioners	practitioner	NOUN
ejpam-5583	38	26	across	across	ADP
ejpam-5583	38	27	various	various	ADJ
ejpam-5583	38	28	scientific	scientific	ADJ
ejpam-5583	38	29	and	and	CCONJ
ejpam-5583	38	30	engineering	engineering	NOUN
ejpam-5583	38	31	disciplines	discipline	NOUN
ejpam-5583	38	32	.	.	PUNCT
ejpam-5583	39	1	2	2	X
ejpam-5583	39	2	.	.	X
ejpam-5583	39	3	basic	basic	ADJ
ejpam-5583	39	4	definitions	definition	NOUN
ejpam-5583	39	5	and	and	CCONJ
ejpam-5583	39	6	properties	property	NOUN
ejpam-5583	39	7	this	this	DET
ejpam-5583	39	8	section	section	NOUN
ejpam-5583	39	9	presents	present	VERB
ejpam-5583	39	10	the	the	DET
ejpam-5583	39	11	basic	basic	ADJ
ejpam-5583	39	12	facts	fact	NOUN
ejpam-5583	39	13	and	and	CCONJ
ejpam-5583	39	14	properties	property	NOUN
ejpam-5583	39	15	related	relate	VERB
ejpam-5583	39	16	to	to	ADP
ejpam-5583	39	17	swt	swt	PROPN
ejpam-5583	39	18	,	,	PUNCT
ejpam-5583	39	19	that	that	PRON
ejpam-5583	39	20	are	be	AUX
ejpam-5583	39	21	essential	essential	ADJ
ejpam-5583	39	22	in	in	ADP
ejpam-5583	39	23	our	our	PRON
ejpam-5583	39	24	work	work	NOUN
ejpam-5583	39	25	.	.	PUNCT
ejpam-5583	40	1	definition	definition	NOUN
ejpam-5583	40	2	1	1	NUM
ejpam-5583	40	3	.	.	PUNCT
ejpam-5583	41	1	the	the	DET
ejpam-5583	41	2	swt	swt	PROPN
ejpam-5583	41	3	of	of	ADP
ejpam-5583	41	4	the	the	DET
ejpam-5583	41	5	function	function	NOUN
ejpam-5583	41	6	w	w	PROPN
ejpam-5583	41	7	(	(	PUNCT
ejpam-5583	41	8	t	t	PROPN
ejpam-5583	41	9	)	)	PUNCT
ejpam-5583	41	10	,	,	PUNCT
ejpam-5583	41	11	defiend	defiend	VERB
ejpam-5583	41	12	on	on	ADP
ejpam-5583	41	13	[	[	X
ejpam-5583	41	14	0,∞	0,∞	NOUN
ejpam-5583	41	15	)	)	PUNCT
ejpam-5583	41	16	,	,	PUNCT
ejpam-5583	41	17	is	be	AUX
ejpam-5583	41	18	denoted	denote	VERB
ejpam-5583	41	19	by	by	ADP
ejpam-5583	41	20	s[w	s[w	PROPN
ejpam-5583	41	21	(	(	PUNCT
ejpam-5583	41	22	t	t	PROPN
ejpam-5583	41	23	)	)	PUNCT
ejpam-5583	41	24	]	]	PUNCT
ejpam-5583	41	25	and	and	CCONJ
ejpam-5583	41	26	given	give	VERB
ejpam-5583	41	27	by	by	ADP
ejpam-5583	41	28	s	s	PRON
ejpam-5583	41	29	[	[	X
ejpam-5583	41	30	w	w	X
ejpam-5583	41	31	(	(	PUNCT
ejpam-5583	41	32	t	t	PROPN
ejpam-5583	41	33	)	)	PUNCT
ejpam-5583	41	34	]	]	PUNCT
ejpam-5583	42	1	=	=	PUNCT
ejpam-5583	42	2	r	r	NOUN
ejpam-5583	42	3	(	(	PUNCT
ejpam-5583	42	4	v	v	NOUN
ejpam-5583	42	5	)	)	PUNCT
ejpam-5583	42	6	=	=	SYM
ejpam-5583	42	7	1	1	NUM
ejpam-5583	42	8	v2	v2	NOUN
ejpam-5583	42	9	∫	∫	PROPN
ejpam-5583	42	10	∞	∞	PROPN
ejpam-5583	42	11	0	0	PROPN
ejpam-5583	42	12	w	w	PROPN
ejpam-5583	42	13	(	(	PUNCT
ejpam-5583	42	14	t	t	PROPN
ejpam-5583	42	15	)	)	PUNCT
ejpam-5583	42	16	e−	e−	PROPN
ejpam-5583	42	17	t	t	NOUN
ejpam-5583	42	18	v	v	NUM
ejpam-5583	42	19	dt	dt	PROPN
ejpam-5583	42	20	.	.	PUNCT
ejpam-5583	43	1	(	(	PUNCT
ejpam-5583	43	2	1	1	X
ejpam-5583	43	3	)	)	PUNCT
ejpam-5583	43	4	if	if	SCONJ
ejpam-5583	43	5	s[w	s[w	PROPN
ejpam-5583	43	6	(	(	PUNCT
ejpam-5583	43	7	t	t	PROPN
ejpam-5583	43	8	)	)	PUNCT
ejpam-5583	43	9	]	]	PUNCT
ejpam-5583	44	1	=	=	PUNCT
ejpam-5583	44	2	r(v	r(v	PROPN
ejpam-5583	44	3	)	)	PUNCT
ejpam-5583	44	4	,	,	PUNCT
ejpam-5583	44	5	then	then	ADV
ejpam-5583	44	6	w(t	w(t	PROPN
ejpam-5583	44	7	)	)	PUNCT
ejpam-5583	44	8	,	,	PUNCT
ejpam-5583	44	9	is	be	AUX
ejpam-5583	44	10	referred	refer	VERB
ejpam-5583	44	11	to	to	ADP
ejpam-5583	44	12	as	as	ADP
ejpam-5583	44	13	the	the	DET
ejpam-5583	44	14	inverse	inverse	NOUN
ejpam-5583	44	15	swt	swt	PROPN
ejpam-5583	44	16	of	of	ADP
ejpam-5583	44	17	r	r	PROPN
ejpam-5583	44	18	(	(	PUNCT
ejpam-5583	44	19	v	v	NOUN
ejpam-5583	44	20	)	)	PUNCT
ejpam-5583	44	21	,	,	PUNCT
ejpam-5583	44	22	and	and	CCONJ
ejpam-5583	44	23	is	be	AUX
ejpam-5583	44	24	denoted	denote	VERB
ejpam-5583	44	25	by	by	ADP
ejpam-5583	44	26	s−1	s−1	PROPN
ejpam-5583	44	27	[	[	X
ejpam-5583	44	28	r	r	NOUN
ejpam-5583	44	29	(	(	PUNCT
ejpam-5583	44	30	v	v	NOUN
ejpam-5583	44	31	)	)	PUNCT
ejpam-5583	44	32	]	]	PUNCT
ejpam-5583	45	1	=	=	PUNCT
ejpam-5583	45	2	w	w	PROPN
ejpam-5583	45	3	(	(	PUNCT
ejpam-5583	45	4	t	t	NOUN
ejpam-5583	45	5	)	)	PUNCT
ejpam-5583	45	6	s−1	s−1	NOUN
ejpam-5583	45	7	[	[	X
ejpam-5583	45	8	r	r	NOUN
ejpam-5583	45	9	(	(	PUNCT
ejpam-5583	45	10	v	v	NOUN
ejpam-5583	45	11	)	)	PUNCT
ejpam-5583	45	12	]	]	PUNCT
ejpam-5583	46	1	=	=	PUNCT
ejpam-5583	47	1	−1	−1	NOUN
ejpam-5583	47	2	2πi	2πi	NOUN
ejpam-5583	47	3	∫	∫	PROPN
ejpam-5583	47	4	c+i∞	c+i∞	ADJ
ejpam-5583	47	5	c−i∞	c−i∞	PROPN
ejpam-5583	47	6	r	r	NOUN
ejpam-5583	47	7	(	(	PUNCT
ejpam-5583	47	8	v	v	NOUN
ejpam-5583	47	9	)	)	PUNCT
ejpam-5583	47	10	e	e	PROPN
ejpam-5583	47	11	t	t	PROPN
ejpam-5583	47	12	v	v	PROPN
ejpam-5583	47	13	dv	dv	PROPN
ejpam-5583	47	14	,	,	PUNCT
ejpam-5583	47	15	c	c	PROPN
ejpam-5583	47	16	∈	∈	PROPN
ejpam-5583	47	17	r.	r.	PROPN
ejpam-5583	47	18	(	(	PUNCT
ejpam-5583	47	19	2	2	X
ejpam-5583	47	20	)	)	PUNCT
ejpam-5583	47	21	note	note	NOUN
ejpam-5583	47	22	that	that	SCONJ
ejpam-5583	47	23	,	,	PUNCT
ejpam-5583	47	24	if	if	SCONJ
ejpam-5583	47	25	s	s	VERB
ejpam-5583	47	26	[	[	X
ejpam-5583	47	27	w1(t	w1(t	PROPN
ejpam-5583	47	28	)	)	PUNCT
ejpam-5583	47	29	]	]	PUNCT
ejpam-5583	48	1	=	=	PUNCT
ejpam-5583	48	2	r1	r1	PROPN
ejpam-5583	48	3	(	(	PUNCT
ejpam-5583	48	4	v	v	NOUN
ejpam-5583	48	5	)	)	PUNCT
ejpam-5583	48	6	and	and	CCONJ
ejpam-5583	48	7	,	,	PUNCT
ejpam-5583	48	8	s	s	VERB
ejpam-5583	48	9	[	[	X
ejpam-5583	48	10	w2(t	w2(t	X
ejpam-5583	48	11	)	)	PUNCT
ejpam-5583	48	12	]	]	PUNCT
ejpam-5583	49	1	=	=	SYM
ejpam-5583	49	2	r2	r2	PROPN
ejpam-5583	49	3	(	(	PUNCT
ejpam-5583	49	4	v	v	NOUN
ejpam-5583	49	5	)	)	PUNCT
ejpam-5583	49	6	,	,	PUNCT
ejpam-5583	49	7	then	then	ADV
ejpam-5583	49	8	s	s	VERB
ejpam-5583	49	9	[	[	PUNCT
ejpam-5583	49	10	aw1	aw1	PROPN
ejpam-5583	49	11	(	(	PUNCT
ejpam-5583	49	12	t	t	NOUN
ejpam-5583	49	13	)	)	PUNCT
ejpam-5583	49	14	+	+	CCONJ
ejpam-5583	49	15	bw2	bw2	PROPN
ejpam-5583	49	16	(	(	PUNCT
ejpam-5583	49	17	t	t	PROPN
ejpam-5583	49	18	)	)	PUNCT
ejpam-5583	49	19	]	]	PUNCT
ejpam-5583	50	1	=	=	PUNCT
ejpam-5583	50	2	a	a	DET
ejpam-5583	50	3	s	s	X
ejpam-5583	50	4	[	[	X
ejpam-5583	50	5	w1(t	w1(t	PROPN
ejpam-5583	50	6	)	)	PUNCT
ejpam-5583	50	7	]	]	PUNCT
ejpam-5583	51	1	+	+	CCONJ
ejpam-5583	51	2	bs	bs	X
ejpam-5583	51	3	[	[	X
ejpam-5583	51	4	w2(t	w2(t	PROPN
ejpam-5583	51	5	)	)	PUNCT
ejpam-5583	51	6	]	]	PUNCT
ejpam-5583	51	7	=	=	SYM
ejpam-5583	51	8	ar1	ar1	PROPN
ejpam-5583	51	9	(	(	PUNCT
ejpam-5583	51	10	v	v	NOUN
ejpam-5583	51	11	)	)	PUNCT
ejpam-5583	51	12	+	+	CCONJ
ejpam-5583	51	13	br2	br2	PROPN
ejpam-5583	51	14	(	(	PUNCT
ejpam-5583	51	15	v	v	NOUN
ejpam-5583	51	16	)	)	PUNCT
ejpam-5583	51	17	,	,	PUNCT
ejpam-5583	51	18	where	where	SCONJ
ejpam-5583	51	19	a	a	PRON
ejpam-5583	51	20	&	&	CCONJ
ejpam-5583	51	21	b	b	NOUN
ejpam-5583	51	22	are	be	AUX
ejpam-5583	51	23	arbitrary	arbitrary	ADJ
ejpam-5583	51	24	constants	constant	NOUN
ejpam-5583	51	25	.	.	PUNCT
ejpam-5583	52	1	moreover	moreover	ADV
ejpam-5583	52	2	,	,	PUNCT
ejpam-5583	52	3	the	the	DET
ejpam-5583	52	4	inverse	inverse	NOUN
ejpam-5583	52	5	of	of	ADP
ejpam-5583	52	6	swt	swt	PROPN
ejpam-5583	52	7	is	be	AUX
ejpam-5583	52	8	linear	linear	ADJ
ejpam-5583	52	9	.	.	PUNCT
ejpam-5583	53	1	if	if	SCONJ
ejpam-5583	53	2	s−1	s−1	PROPN
ejpam-5583	53	3	[	[	X
ejpam-5583	53	4	r1(v	r1(v	X
ejpam-5583	53	5	)	)	PUNCT
ejpam-5583	53	6	]	]	PUNCT
ejpam-5583	53	7	=	=	PUNCT
ejpam-5583	53	8	w1(t	w1(t	PROPN
ejpam-5583	53	9	)	)	PUNCT
ejpam-5583	53	10	and	and	CCONJ
ejpam-5583	53	11	,	,	PUNCT
ejpam-5583	53	12	s−1	s−1	PROPN
ejpam-5583	53	13	[	[	X
ejpam-5583	53	14	r2(v	r2(v	NOUN
ejpam-5583	53	15	)	)	PUNCT
ejpam-5583	53	16	]	]	PUNCT
ejpam-5583	53	17	=	=	SYM
ejpam-5583	53	18	w2	w2	PROPN
ejpam-5583	53	19	(	(	PUNCT
ejpam-5583	53	20	t	t	PROPN
ejpam-5583	53	21	)	)	PUNCT
ejpam-5583	53	22	,	,	PUNCT
ejpam-5583	53	23	then	then	ADV
ejpam-5583	53	24	s−1	s−1	PROPN
ejpam-5583	53	25	[	[	X
ejpam-5583	53	26	ar1(v	ar1(v	X
ejpam-5583	53	27	)	)	PUNCT
ejpam-5583	53	28	+	+	CCONJ
ejpam-5583	53	29	br2(v	br2(v	PROPN
ejpam-5583	53	30	)	)	PUNCT
ejpam-5583	53	31	]	]	PUNCT
ejpam-5583	54	1	=	=	PUNCT
ejpam-5583	54	2	as−1	as−1	PROPN
ejpam-5583	54	3	[	[	X
ejpam-5583	54	4	r1(v	r1(v	X
ejpam-5583	54	5	)	)	PUNCT
ejpam-5583	54	6	]	]	PUNCT
ejpam-5583	55	1	+	+	CCONJ
ejpam-5583	55	2	bs−1	bs−1	ADJ
ejpam-5583	55	3	[	[	X
ejpam-5583	55	4	r2(v	r2(v	NOUN
ejpam-5583	55	5	)	)	PUNCT
ejpam-5583	55	6	]	]	PUNCT
ejpam-5583	56	1	=	=	PUNCT
ejpam-5583	56	2	aw1	aw1	PROPN
ejpam-5583	56	3	(	(	PUNCT
ejpam-5583	56	4	t	t	NOUN
ejpam-5583	56	5	)	)	PUNCT
ejpam-5583	56	6	+	+	CCONJ
ejpam-5583	56	7	bw2	bw2	PROPN
ejpam-5583	56	8	(	(	PUNCT
ejpam-5583	56	9	t	t	PROPN
ejpam-5583	56	10	)	)	PUNCT
ejpam-5583	56	11	.	.	PUNCT
ejpam-5583	57	1	(	(	PUNCT
ejpam-5583	57	2	3	3	X
ejpam-5583	57	3	)	)	PUNCT
ejpam-5583	57	4	theorem	theorem	NOUN
ejpam-5583	57	5	1	1	NUM
ejpam-5583	57	6	.	.	PUNCT
ejpam-5583	58	1	let	let	VERB
ejpam-5583	58	2	w(t	w(t	PROPN
ejpam-5583	58	3	)	)	PUNCT
ejpam-5583	58	4	be	be	AUX
ejpam-5583	58	5	a	a	DET
ejpam-5583	58	6	continuous	continuous	ADJ
ejpam-5583	58	7	function	function	NOUN
ejpam-5583	58	8	defined	define	VERB
ejpam-5583	58	9	for	for	ADP
ejpam-5583	58	10	t	t	PROPN
ejpam-5583	58	11	>	>	X
ejpam-5583	58	12	0	0	PUNCT
ejpam-5583	58	13	and	and	CCONJ
ejpam-5583	58	14	has	have	VERB
ejpam-5583	58	15	exponential	exponential	ADJ
ejpam-5583	58	16	order	order	NOUN
ejpam-5583	58	17	α	α	NOUN
ejpam-5583	58	18	property	property	NOUN
ejpam-5583	58	19	;	;	PUNCT
ejpam-5583	58	20	|w(t))|	|w(t))|	X
ejpam-5583	58	21	≤	≤	NUM
ejpam-5583	58	22	µeαt	µeαt	NOUN
ejpam-5583	58	23	where	where	SCONJ
ejpam-5583	58	24	µ	µ	X
ejpam-5583	58	25	>	>	X
ejpam-5583	58	26	0	0	NUM
ejpam-5583	58	27	.	.	PUNCT
ejpam-5583	59	1	then	then	ADV
ejpam-5583	59	2	,	,	PUNCT
ejpam-5583	59	3	the	the	DET
ejpam-5583	59	4	swt	swt	PROPN
ejpam-5583	59	5	s[w(t	s[w(t	PROPN
ejpam-5583	59	6	)	)	PUNCT
ejpam-5583	59	7	]	]	PUNCT
ejpam-5583	59	8	exists	exist	VERB
ejpam-5583	59	9	for	for	ADP
ejpam-5583	59	10	re	re	NOUN
ejpam-5583	59	11	(	(	PUNCT
ejpam-5583	59	12	1	1	NUM
ejpam-5583	59	13	v	v	NOUN
ejpam-5583	59	14	)	)	PUNCT
ejpam-5583	59	15	>	>	X
ejpam-5583	60	1	α	α	X
ejpam-5583	60	2	.	.	PUNCT
ejpam-5583	61	1	the	the	DET
ejpam-5583	61	2	swt	swt	PROPN
ejpam-5583	61	3	is	be	AUX
ejpam-5583	61	4	a	a	DET
ejpam-5583	61	5	well	well	ADV
ejpam-5583	61	6	-	-	PUNCT
ejpam-5583	61	7	known	know	VERB
ejpam-5583	61	8	transform	transform	NOUN
ejpam-5583	61	9	that	that	PRON
ejpam-5583	61	10	satisfies	satisfy	VERB
ejpam-5583	61	11	the	the	DET
ejpam-5583	61	12	following	follow	VERB
ejpam-5583	61	13	properties	property	NOUN
ejpam-5583	61	14	•	•	ADV
ejpam-5583	61	15	if	if	SCONJ
ejpam-5583	61	16	s	s	VERB
ejpam-5583	61	17	[	[	X
ejpam-5583	61	18	w	w	X
ejpam-5583	61	19	(	(	PUNCT
ejpam-5583	61	20	t	t	PROPN
ejpam-5583	61	21	)	)	PUNCT
ejpam-5583	61	22	]	]	PUNCT
ejpam-5583	62	1	=	=	PUNCT
ejpam-5583	62	2	r	r	NOUN
ejpam-5583	62	3	(	(	PUNCT
ejpam-5583	62	4	v	v	NOUN
ejpam-5583	62	5	)	)	PUNCT
ejpam-5583	62	6	,	,	PUNCT
ejpam-5583	62	7	then	then	ADV
ejpam-5583	62	8	s	s	VERB
ejpam-5583	62	9	[	[	PUNCT
ejpam-5583	62	10	w	w	NOUN
ejpam-5583	62	11	(	(	PUNCT
ejpam-5583	62	12	at	at	ADP
ejpam-5583	62	13	)	)	PUNCT
ejpam-5583	62	14	]	]	PUNCT
ejpam-5583	63	1	=	=	PUNCT
ejpam-5583	63	2	a	a	DET
ejpam-5583	63	3	r	r	NOUN
ejpam-5583	63	4	(	(	PUNCT
ejpam-5583	63	5	av	av	PROPN
ejpam-5583	63	6	)	)	PUNCT
ejpam-5583	63	7	.	.	PUNCT
ejpam-5583	64	1	•	•	NUM
ejpam-5583	64	2	s	s	X
ejpam-5583	64	3	[	[	PUNCT
ejpam-5583	64	4	eatw	eatw	PROPN
ejpam-5583	64	5	(	(	PUNCT
ejpam-5583	64	6	t	t	PROPN
ejpam-5583	64	7	)	)	PUNCT
ejpam-5583	64	8	]	]	PUNCT
ejpam-5583	65	1	=	=	SYM
ejpam-5583	65	2	1	1	NUM
ejpam-5583	65	3	(	(	PUNCT
ejpam-5583	65	4	1−av)2	1−av)2	NUM
ejpam-5583	65	5	r	r	NOUN
ejpam-5583	65	6	(	(	PUNCT
ejpam-5583	65	7	v	v	NOUN
ejpam-5583	65	8	1−av	1−av	NUM
ejpam-5583	65	9	)	)	PUNCT
ejpam-5583	65	10	.	.	PUNCT
ejpam-5583	66	1	•	•	NUM
ejpam-5583	66	2	s	s	X
ejpam-5583	67	1	[	[	X
ejpam-5583	67	2	w1	w1	NOUN
ejpam-5583	67	3	(	(	PUNCT
ejpam-5583	67	4	t	t	NOUN
ejpam-5583	67	5	)	)	PUNCT
ejpam-5583	67	6	∗	∗	NOUN
ejpam-5583	67	7	w2	w2	NOUN
ejpam-5583	67	8	(	(	PUNCT
ejpam-5583	67	9	t	t	PROPN
ejpam-5583	67	10	)	)	PUNCT
ejpam-5583	67	11	]	]	PUNCT
ejpam-5583	68	1	=	=	PUNCT
ejpam-5583	68	2	v2	v2	PROPN
ejpam-5583	68	3	r1	r1	NOUN
ejpam-5583	68	4	(	(	PUNCT
ejpam-5583	68	5	v	v	NOUN
ejpam-5583	68	6	)	)	PUNCT
ejpam-5583	68	7	r2	r2	NOUN
ejpam-5583	68	8	(	(	PUNCT
ejpam-5583	68	9	v	v	NOUN
ejpam-5583	68	10	)	)	PUNCT
ejpam-5583	68	11	,	,	PUNCT
ejpam-5583	68	12	where	where	SCONJ
ejpam-5583	68	13	w1	w1	NOUN
ejpam-5583	68	14	(	(	PUNCT
ejpam-5583	68	15	t	t	PROPN
ejpam-5583	68	16	)	)	PUNCT
ejpam-5583	68	17	∗	∗	NOUN
ejpam-5583	68	18	w2	w2	NOUN
ejpam-5583	68	19	(	(	PUNCT
ejpam-5583	68	20	t	t	PROPN
ejpam-5583	68	21	)	)	PUNCT
ejpam-5583	68	22	=	=	SYM
ejpam-5583	69	1	∫	∫	PROPN
ejpam-5583	69	2	t	t	PROPN
ejpam-5583	69	3	0	0	NUM
ejpam-5583	69	4	w1	w1	PROPN
ejpam-5583	69	5	(	(	PUNCT
ejpam-5583	69	6	τ	τ	PROPN
ejpam-5583	69	7	)	)	PUNCT
ejpam-5583	69	8	w2	w2	NOUN
ejpam-5583	69	9	(	(	PUNCT
ejpam-5583	69	10	t−	t−	PROPN
ejpam-5583	69	11	τ)dτ	τ)dτ	PROPN
ejpam-5583	69	12	.	.	PUNCT
ejpam-5583	69	13	r.	r.	PROPN
ejpam-5583	69	14	saadeh	saadeh	PROPN
ejpam-5583	69	15	,	,	PUNCT
ejpam-5583	69	16	a.	a.	PROPN
ejpam-5583	69	17	al	al	PROPN
ejpam-5583	69	18	-	-	PUNCT
ejpam-5583	69	19	wadi	wadi	PROPN
ejpam-5583	69	20	,	,	PUNCT
ejpam-5583	69	21	a.	a.	NOUN
ejpam-5583	69	22	qazza	qazza	PROPN
ejpam-5583	69	23	/	/	SYM
ejpam-5583	69	24	eur	eur	PROPN
ejpam-5583	69	25	.	.	PUNCT
ejpam-5583	70	1	j.	j.	PROPN
ejpam-5583	70	2	pure	pure	PROPN
ejpam-5583	70	3	appl	appl	PROPN
ejpam-5583	70	4	.	.	PROPN
ejpam-5583	70	5	math	math	PROPN
ejpam-5583	70	6	,	,	PUNCT
ejpam-5583	70	7	18	18	NUM
ejpam-5583	70	8	(	(	PUNCT
ejpam-5583	70	9	1	1	NUM
ejpam-5583	70	10	)	)	PUNCT
ejpam-5583	70	11	(	(	PUNCT
ejpam-5583	70	12	2025	2025	NUM
ejpam-5583	70	13	)	)	PUNCT
ejpam-5583	70	14	,	,	PUNCT
ejpam-5583	70	15	5583	5583	NUM
ejpam-5583	70	16	4	4	NUM
ejpam-5583	70	17	of	of	ADP
ejpam-5583	70	18	16	16	NUM
ejpam-5583	70	19	theorem	theorem	NOUN
ejpam-5583	70	20	2	2	NUM
ejpam-5583	70	21	.	.	PUNCT
ejpam-5583	71	1	let	let	VERB
ejpam-5583	71	2	r(v	r(v	PROPN
ejpam-5583	71	3	)	)	PUNCT
ejpam-5583	72	1	be	be	AUX
ejpam-5583	72	2	swt	swt	PROPN
ejpam-5583	72	3	of	of	ADP
ejpam-5583	72	4	w	w	PROPN
ejpam-5583	72	5	(	(	PUNCT
ejpam-5583	72	6	t	t	PROPN
ejpam-5583	72	7	)	)	PUNCT
ejpam-5583	72	8	.	.	PUNCT
ejpam-5583	73	1	then	then	ADV
ejpam-5583	73	2	(	(	PUNCT
ejpam-5583	73	3	i	i	NOUN
ejpam-5583	73	4	)	)	PUNCT
ejpam-5583	73	5	s	s	VERB
ejpam-5583	74	1	[	[	X
ejpam-5583	74	2	w′	w′	ADP
ejpam-5583	74	3	(	(	PUNCT
ejpam-5583	74	4	t	t	PROPN
ejpam-5583	74	5	)	)	PUNCT
ejpam-5583	74	6	]	]	PUNCT
ejpam-5583	75	1	=	=	PUNCT
ejpam-5583	75	2	r(v	r(v	PROPN
ejpam-5583	75	3	)	)	PUNCT
ejpam-5583	75	4	v	v	ADP
ejpam-5583	75	5	−	−	PROPN
ejpam-5583	75	6	w(0	w(0	PROPN
ejpam-5583	75	7	)	)	PUNCT
ejpam-5583	75	8	v2	v2	NOUN
ejpam-5583	75	9	.	.	PUNCT
ejpam-5583	76	1	(	(	PUNCT
ejpam-5583	76	2	ii	ii	NOUN
ejpam-5583	76	3	)	)	PUNCT
ejpam-5583	76	4	s	s	PART
ejpam-5583	77	1	[	[	X
ejpam-5583	77	2	w′′	w′′	NOUN
ejpam-5583	77	3	(	(	PUNCT
ejpam-5583	77	4	t	t	PROPN
ejpam-5583	77	5	)	)	PUNCT
ejpam-5583	77	6	]	]	PUNCT
ejpam-5583	77	7	=	=	PUNCT
ejpam-5583	77	8	r(v	r(v	PROPN
ejpam-5583	77	9	)	)	PUNCT
ejpam-5583	77	10	v2	v2	NOUN
ejpam-5583	77	11	−	−	PROPN
ejpam-5583	77	12	w(0	w(0	PROPN
ejpam-5583	77	13	)	)	PUNCT
ejpam-5583	77	14	v3	v3	PROPN
ejpam-5583	77	15	−	−	PROPN
ejpam-5583	77	16	w′(0	w′(0	PROPN
ejpam-5583	77	17	)	)	PUNCT
ejpam-5583	77	18	v2	v2	NOUN
ejpam-5583	77	19	.	.	PUNCT
ejpam-5583	78	1	(	(	PUNCT
ejpam-5583	78	2	iii	iii	X
ejpam-5583	78	3	)	)	PUNCT
ejpam-5583	78	4	s	s	PART
ejpam-5583	78	5	[	[	PUNCT
ejpam-5583	78	6	w(n	w(n	PROPN
ejpam-5583	78	7	)	)	PUNCT
ejpam-5583	78	8	(	(	PUNCT
ejpam-5583	78	9	t	t	PROPN
ejpam-5583	78	10	)	)	PUNCT
ejpam-5583	78	11	]	]	PUNCT
ejpam-5583	79	1	=	=	PUNCT
ejpam-5583	79	2	r(v	r(v	PROPN
ejpam-5583	79	3	)	)	PUNCT
ejpam-5583	80	1	vn	vn	PROPN
ejpam-5583	80	2	−	−	PROPN
ejpam-5583	80	3	∑n−1	∑n−1	ADP
ejpam-5583	80	4	k=0	k=0	PROPN
ejpam-5583	80	5	w(k)(0	w(k)(0	PROPN
ejpam-5583	80	6	)	)	PUNCT
ejpam-5583	80	7	vn−k+1	vn−k+1	NOUN
ejpam-5583	80	8	.	.	PUNCT
ejpam-5583	81	1	the	the	DET
ejpam-5583	81	2	following	follow	VERB
ejpam-5583	81	3	table	table	NOUN
ejpam-5583	81	4	1	1	NUM
ejpam-5583	81	5	,	,	PUNCT
ejpam-5583	81	6	introduces	introduce	VERB
ejpam-5583	81	7	swt	swt	PROPN
ejpam-5583	81	8	for	for	ADP
ejpam-5583	81	9	some	some	DET
ejpam-5583	81	10	basic	basic	ADJ
ejpam-5583	81	11	functions	function	NOUN
ejpam-5583	81	12	table	table	NOUN
ejpam-5583	81	13	1	1	NUM
ejpam-5583	81	14	:	:	PUNCT
ejpam-5583	81	15	swt	swt	PROPN
ejpam-5583	81	16	of	of	ADP
ejpam-5583	81	17	some	some	DET
ejpam-5583	81	18	elementary	elementary	ADJ
ejpam-5583	81	19	functions	function	NOUN
ejpam-5583	81	20	.	.	PUNCT
ejpam-5583	82	1	sr	sr	PROPN
ejpam-5583	82	2	.	.	PUNCT
ejpam-5583	83	1	no	no	INTJ
ejpam-5583	83	2	.	.	PUNCT
ejpam-5583	84	1	w	w	PROPN
ejpam-5583	84	2	(	(	PUNCT
ejpam-5583	84	3	t	t	NOUN
ejpam-5583	84	4	)	)	PUNCT
ejpam-5583	84	5	s[w(t	s[w(t	NOUN
ejpam-5583	84	6	)	)	PUNCT
ejpam-5583	84	7	]	]	PUNCT
ejpam-5583	85	1	1	1	NUM
ejpam-5583	85	2	1	1	NUM
ejpam-5583	85	3	1	1	NUM
ejpam-5583	85	4	v	v	ADP
ejpam-5583	85	5	2	2	NUM
ejpam-5583	85	6	t	t	NOUN
ejpam-5583	85	7	1	1	NUM
ejpam-5583	85	8	3	3	NUM
ejpam-5583	85	9	tn	tn	NOUN
ejpam-5583	85	10	,	,	PUNCT
ejpam-5583	85	11	n	n	PROPN
ejpam-5583	85	12	∈	∈	PROPN
ejpam-5583	85	13	n	n	CCONJ
ejpam-5583	85	14	n!vn−1	n!vn−1	PROPN
ejpam-5583	85	15	4	4	NUM
ejpam-5583	85	16	tα	tα	PROPN
ejpam-5583	85	17	,	,	PUNCT
ejpam-5583	85	18	α	α	PROPN
ejpam-5583	85	19	∈	∈	PROPN
ejpam-5583	85	20	r+	r+	NOUN
ejpam-5583	85	21	γ(α	γ(α	PROPN
ejpam-5583	85	22	+	+	CCONJ
ejpam-5583	85	23	1	1	X
ejpam-5583	85	24	)	)	PUNCT
ejpam-5583	85	25	vα−1	vα−1	ADV
ejpam-5583	85	26	5	5	NUM
ejpam-5583	85	27	eat	eat	VERB
ejpam-5583	85	28	1	1	NUM
ejpam-5583	85	29	v(1−av	v(1−av	NOUN
ejpam-5583	85	30	)	)	PUNCT
ejpam-5583	85	31	6	6	NUM
ejpam-5583	85	32	sin(at	sin(at	NOUN
ejpam-5583	85	33	)	)	PUNCT
ejpam-5583	85	34	a	a	DET
ejpam-5583	85	35	1+a2v2	1+a2v2	NUM
ejpam-5583	85	36	7	7	NUM
ejpam-5583	85	37	cos(at	cos(at	NOUN
ejpam-5583	85	38	)	)	PUNCT
ejpam-5583	85	39	1	1	NUM
ejpam-5583	86	1	v(1+a2v2	v(1+a2v2	ADJ
ejpam-5583	86	2	)	)	PUNCT
ejpam-5583	86	3	8	8	NUM
ejpam-5583	86	4	sinh(at	sinh(at	NOUN
ejpam-5583	86	5	)	)	PUNCT
ejpam-5583	86	6	a	a	DET
ejpam-5583	86	7	1−a2v2	1−a2v2	NOUN
ejpam-5583	86	8	9	9	NUM
ejpam-5583	86	9	cosh(at	cosh(at	NOUN
ejpam-5583	86	10	)	)	PUNCT
ejpam-5583	86	11	1	1	NUM
ejpam-5583	86	12	v(1−a2v2	v(1−a2v2	PROPN
ejpam-5583	86	13	)	)	PUNCT
ejpam-5583	86	14	3	3	NUM
ejpam-5583	86	15	.	.	PUNCT
ejpam-5583	87	1	the	the	DET
ejpam-5583	87	2	swt	swt	PROPN
ejpam-5583	87	3	of	of	ADP
ejpam-5583	87	4	some	some	DET
ejpam-5583	87	5	fractional	fractional	ADJ
ejpam-5583	87	6	operators	operator	NOUN
ejpam-5583	87	7	the	the	DET
ejpam-5583	87	8	riemann	riemann	PROPN
ejpam-5583	87	9	-	-	PUNCT
ejpam-5583	87	10	liouville	liouville	VERB
ejpam-5583	87	11	integral	integral	ADJ
ejpam-5583	87	12	is	be	AUX
ejpam-5583	87	13	motivated	motivate	VERB
ejpam-5583	87	14	from	from	ADP
ejpam-5583	87	15	cauchy	cauchy	NOUN
ejpam-5583	87	16	formula	formula	NOUN
ejpam-5583	87	17	for	for	ADP
ejpam-5583	87	18	repeated	repeat	VERB
ejpam-5583	87	19	integration	integration	NOUN
ejpam-5583	87	20	and	and	CCONJ
ejpam-5583	87	21	,	,	PUNCT
ejpam-5583	87	22	the	the	DET
ejpam-5583	87	23	mittage	mittage	NOUN
ejpam-5583	87	24	-	-	PUNCT
ejpam-5583	87	25	leffler	leffler	NOUN
ejpam-5583	87	26	function	function	NOUN
ejpam-5583	87	27	is	be	AUX
ejpam-5583	87	28	one	one	NUM
ejpam-5583	87	29	of	of	ADP
ejpam-5583	87	30	the	the	DET
ejpam-5583	87	31	important	important	ADJ
ejpam-5583	87	32	special	special	ADJ
ejpam-5583	87	33	functions	function	NOUN
ejpam-5583	87	34	,	,	PUNCT
ejpam-5583	87	35	which	which	PRON
ejpam-5583	87	36	is	be	AUX
ejpam-5583	87	37	considered	consider	VERB
ejpam-5583	87	38	a	a	DET
ejpam-5583	87	39	generalization	generalization	NOUN
ejpam-5583	87	40	of	of	ADP
ejpam-5583	87	41	the	the	DET
ejpam-5583	87	42	exponential	exponential	ADJ
ejpam-5583	87	43	function	function	NOUN
ejpam-5583	87	44	and	and	CCONJ
ejpam-5583	87	45	frequently	frequently	ADV
ejpam-5583	87	46	used	use	VERB
ejpam-5583	87	47	in	in	ADP
ejpam-5583	87	48	the	the	DET
ejpam-5583	87	49	solutions	solution	NOUN
ejpam-5583	87	50	of	of	ADP
ejpam-5583	87	51	fractional	fractional	ADJ
ejpam-5583	87	52	differential	differential	ADJ
ejpam-5583	87	53	equations	equation	NOUN
ejpam-5583	87	54	and	and	CCONJ
ejpam-5583	87	55	systems	system	NOUN
ejpam-5583	87	56	of	of	ADP
ejpam-5583	87	57	fractional	fractional	ADJ
ejpam-5583	87	58	differential	differential	ADJ
ejpam-5583	87	59	equations	equation	NOUN
ejpam-5583	87	60	.	.	PUNCT
ejpam-5583	88	1	definition	definition	NOUN
ejpam-5583	88	2	2	2	NUM
ejpam-5583	88	3	.	.	PUNCT
ejpam-5583	89	1	the	the	DET
ejpam-5583	89	2	riemann	riemann	PROPN
ejpam-5583	89	3	–	–	PUNCT
ejpam-5583	89	4	liouville	liouville	VERB
ejpam-5583	89	5	fractional	fractional	ADJ
ejpam-5583	89	6	integral	integral	ADJ
ejpam-5583	89	7	of	of	ADP
ejpam-5583	89	8	a	a	DET
ejpam-5583	89	9	function	function	NOUN
ejpam-5583	89	10	w(t	w(t	PROPN
ejpam-5583	89	11	)	)	PUNCT
ejpam-5583	89	12	of	of	ADP
ejpam-5583	89	13	order	order	NOUN
ejpam-5583	89	14	α	α	X
ejpam-5583	89	15	>	>	X
ejpam-5583	89	16	0	0	NUM
ejpam-5583	89	17	is	be	AUX
ejpam-5583	89	18	defined	define	VERB
ejpam-5583	89	19	by	by	ADP
ejpam-5583	89	20	:	:	PUNCT
ejpam-5583	89	21	iαw(t	iαw(t	ADJ
ejpam-5583	89	22	)	)	PUNCT
ejpam-5583	89	23	=	=	SYM
ejpam-5583	89	24	1	1	NUM
ejpam-5583	89	25	γ(α	γ(α	NOUN
ejpam-5583	89	26	)	)	PUNCT
ejpam-5583	90	1	∫	∫	PROPN
ejpam-5583	90	2	t	t	PROPN
ejpam-5583	90	3	α	α	PROPN
ejpam-5583	90	4	(	(	PUNCT
ejpam-5583	90	5	t−	t−	PROPN
ejpam-5583	90	6	τ)α−1	τ)α−1	PROPN
ejpam-5583	90	7	w	w	X
ejpam-5583	90	8	(	(	PUNCT
ejpam-5583	90	9	τ	τ	PROPN
ejpam-5583	90	10	)	)	PUNCT
ejpam-5583	90	11	dτ	dτ	PROPN
ejpam-5583	90	12	.	.	PROPN
ejpam-5583	90	13	(	(	PUNCT
ejpam-5583	90	14	4	4	X
ejpam-5583	90	15	)	)	PUNCT
ejpam-5583	90	16	definition	definition	NOUN
ejpam-5583	90	17	3	3	NUM
ejpam-5583	90	18	.	.	PUNCT
ejpam-5583	91	1	the	the	DET
ejpam-5583	91	2	caputo	caputo	PROPN
ejpam-5583	91	3	fractional	fractional	PROPN
ejpam-5583	91	4	derivative	derivative	NOUN
ejpam-5583	91	5	of	of	ADP
ejpam-5583	91	6	a	a	DET
ejpam-5583	91	7	function	function	NOUN
ejpam-5583	91	8	w(t	w(t	PROPN
ejpam-5583	91	9	)	)	PUNCT
ejpam-5583	91	10	of	of	ADP
ejpam-5583	91	11	order	order	NOUN
ejpam-5583	91	12	α	α	X
ejpam-5583	91	13	>	>	X
ejpam-5583	91	14	0	0	NUM
ejpam-5583	91	15	is	be	AUX
ejpam-5583	91	16	defined	define	VERB
ejpam-5583	91	17	by	by	ADP
ejpam-5583	91	18	:	:	PUNCT
ejpam-5583	91	19	dαw(t	dαw(t	NOUN
ejpam-5583	91	20	)	)	PUNCT
ejpam-5583	92	1	=	=	PRON
ejpam-5583	92	2	{	{	PUNCT
ejpam-5583	92	3	1	1	NUM
ejpam-5583	92	4	γ(m−α	γ(m−α	NOUN
ejpam-5583	92	5	)	)	PUNCT
ejpam-5583	92	6	∫	∫	PROPN
ejpam-5583	93	1	t	t	PROPN
ejpam-5583	93	2	0	0	NUM
ejpam-5583	93	3	w(m)(τ	w(m)(τ	NOUN
ejpam-5583	93	4	)	)	PUNCT
ejpam-5583	93	5	(	(	PUNCT
ejpam-5583	93	6	t−τ)α+1−mdτ	t−τ)α+1−mdτ	PROPN
ejpam-5583	93	7	,	,	PUNCT
ejpam-5583	93	8	m−	m−	PROPN
ejpam-5583	93	9	1	1	NUM
ejpam-5583	93	10	<	<	X
ejpam-5583	93	11	α	α	X
ejpam-5583	93	12	<	<	X
ejpam-5583	93	13	m	m	PROPN
ejpam-5583	93	14	,	,	PUNCT
ejpam-5583	93	15	w(m)(t	w(m)(t	X
ejpam-5583	93	16	)	)	PUNCT
ejpam-5583	93	17	,	,	PUNCT
ejpam-5583	93	18	α	α	NOUN
ejpam-5583	93	19	=	=	PUNCT
ejpam-5583	93	20	m	m	PROPN
ejpam-5583	93	21	,	,	PUNCT
ejpam-5583	93	22	m	m	PROPN
ejpam-5583	93	23	∈	∈	PROPN
ejpam-5583	93	24	n.	n.	NOUN
ejpam-5583	93	25	(	(	PUNCT
ejpam-5583	93	26	5	5	NUM
ejpam-5583	93	27	)	)	PUNCT
ejpam-5583	93	28	theorem	theorem	NOUN
ejpam-5583	93	29	3	3	NUM
ejpam-5583	93	30	.	.	PUNCT
ejpam-5583	94	1	if	if	SCONJ
ejpam-5583	94	2	r(v	r(v	PROPN
ejpam-5583	94	3	)	)	PUNCT
ejpam-5583	94	4	is	be	AUX
ejpam-5583	94	5	the	the	DET
ejpam-5583	94	6	swt	swt	PROPN
ejpam-5583	94	7	of	of	ADP
ejpam-5583	94	8	w	w	PROPN
ejpam-5583	94	9	(	(	PUNCT
ejpam-5583	94	10	t	t	PROPN
ejpam-5583	94	11	)	)	PUNCT
ejpam-5583	94	12	,	,	PUNCT
ejpam-5583	94	13	then	then	ADV
ejpam-5583	94	14	swt	swt	PROPN
ejpam-5583	94	15	of	of	ADP
ejpam-5583	94	16	riemann	riemann	PROPN
ejpam-5583	94	17	-	-	PUNCT
ejpam-5583	94	18	liouville	liouville	VERB
ejpam-5583	94	19	fractional	fractional	ADJ
ejpam-5583	94	20	integral	integral	NOUN
ejpam-5583	94	21	is	be	AUX
ejpam-5583	94	22	given	give	VERB
ejpam-5583	94	23	by	by	ADP
ejpam-5583	94	24	s	s	X
ejpam-5583	94	25	[	[	X
ejpam-5583	94	26	iαw(t	iαw(t	NOUN
ejpam-5583	94	27	)	)	PUNCT
ejpam-5583	94	28	]	]	PUNCT
ejpam-5583	95	1	=	=	PUNCT
ejpam-5583	95	2	vαr	vαr	NOUN
ejpam-5583	95	3	(	(	PUNCT
ejpam-5583	95	4	v	v	NOUN
ejpam-5583	95	5	)	)	PUNCT
ejpam-5583	95	6	.	.	PUNCT
ejpam-5583	96	1	(	(	PUNCT
ejpam-5583	96	2	6	6	X
ejpam-5583	96	3	)	)	PUNCT
ejpam-5583	96	4	r.	r.	PROPN
ejpam-5583	96	5	saadeh	saadeh	PROPN
ejpam-5583	96	6	,	,	PUNCT
ejpam-5583	96	7	a.	a.	PROPN
ejpam-5583	96	8	al	al	PROPN
ejpam-5583	96	9	-	-	PUNCT
ejpam-5583	96	10	wadi	wadi	PROPN
ejpam-5583	96	11	,	,	PUNCT
ejpam-5583	96	12	a.	a.	NOUN
ejpam-5583	96	13	qazza	qazza	PROPN
ejpam-5583	96	14	/	/	SYM
ejpam-5583	96	15	eur	eur	PROPN
ejpam-5583	96	16	.	.	PUNCT
ejpam-5583	97	1	j.	j.	PROPN
ejpam-5583	97	2	pure	pure	PROPN
ejpam-5583	97	3	appl	appl	PROPN
ejpam-5583	97	4	.	.	PROPN
ejpam-5583	97	5	math	math	PROPN
ejpam-5583	97	6	,	,	PUNCT
ejpam-5583	97	7	18	18	NUM
ejpam-5583	97	8	(	(	PUNCT
ejpam-5583	97	9	1	1	NUM
ejpam-5583	97	10	)	)	PUNCT
ejpam-5583	97	11	(	(	PUNCT
ejpam-5583	97	12	2025	2025	NUM
ejpam-5583	97	13	)	)	PUNCT
ejpam-5583	97	14	,	,	PUNCT
ejpam-5583	97	15	5583	5583	NUM
ejpam-5583	97	16	5	5	NUM
ejpam-5583	97	17	of	of	ADP
ejpam-5583	97	18	16	16	NUM
ejpam-5583	97	19	proof	proof	NOUN
ejpam-5583	97	20	.	.	PUNCT
ejpam-5583	98	1	from	from	ADP
ejpam-5583	98	2	the	the	DET
ejpam-5583	98	3	definition	definition	NOUN
ejpam-5583	98	4	of	of	ADP
ejpam-5583	98	5	riemann	riemann	PROPN
ejpam-5583	98	6	-	-	PUNCT
ejpam-5583	98	7	liouville	liouville	NOUN
ejpam-5583	98	8	integral	integral	ADJ
ejpam-5583	98	9	,	,	PUNCT
ejpam-5583	98	10	we	we	PRON
ejpam-5583	98	11	have	have	VERB
ejpam-5583	98	12	iaw(t	iaw(t	NOUN
ejpam-5583	98	13	)	)	PUNCT
ejpam-5583	98	14	=	=	SYM
ejpam-5583	98	15	1	1	NUM
ejpam-5583	98	16	γ	γ	X
ejpam-5583	98	17	(	(	PUNCT
ejpam-5583	98	18	α	α	NOUN
ejpam-5583	98	19	)	)	PUNCT
ejpam-5583	98	20	∫	∫	PROPN
ejpam-5583	98	21	t	t	PROPN
ejpam-5583	98	22	0	0	NUM
ejpam-5583	98	23	(	(	PUNCT
ejpam-5583	98	24	t−	t−	PROPN
ejpam-5583	98	25	τ)α−1w	τ)α−1w	ADJ
ejpam-5583	98	26	(	(	PUNCT
ejpam-5583	98	27	τ	τ	NOUN
ejpam-5583	98	28	)	)	PUNCT
ejpam-5583	98	29	dτ	dτ	NOUN
ejpam-5583	98	30	=	=	SYM
ejpam-5583	98	31	1	1	NUM
ejpam-5583	98	32	γ(α	γ(α	NOUN
ejpam-5583	98	33	)	)	PUNCT
ejpam-5583	98	34	(	(	PUNCT
ejpam-5583	98	35	tα−1	tα−1	NOUN
ejpam-5583	98	36	∗	∗	NOUN
ejpam-5583	98	37	w(t	w(t	PROPN
ejpam-5583	98	38	)	)	PUNCT
ejpam-5583	98	39	)	)	PUNCT
ejpam-5583	98	40	.	.	PUNCT
ejpam-5583	99	1	(	(	PUNCT
ejpam-5583	99	2	7	7	X
ejpam-5583	99	3	)	)	PUNCT
ejpam-5583	99	4	taking	take	VERB
ejpam-5583	99	5	swt	swt	PROPN
ejpam-5583	99	6	to	to	ADP
ejpam-5583	99	7	both	both	DET
ejpam-5583	99	8	sides	side	NOUN
ejpam-5583	99	9	of	of	ADP
ejpam-5583	99	10	(	(	PUNCT
ejpam-5583	99	11	7	7	NUM
ejpam-5583	99	12	)	)	PUNCT
ejpam-5583	99	13	,	,	PUNCT
ejpam-5583	99	14	we	we	PRON
ejpam-5583	99	15	obtain	obtain	VERB
ejpam-5583	99	16	s	s	VERB
ejpam-5583	100	1	[	[	X
ejpam-5583	100	2	iαw	iαw	X
ejpam-5583	100	3	(	(	PUNCT
ejpam-5583	100	4	t	t	PROPN
ejpam-5583	100	5	)	)	PUNCT
ejpam-5583	100	6	]	]	PUNCT
ejpam-5583	100	7	=	=	SYM
ejpam-5583	100	8	1	1	NUM
ejpam-5583	100	9	γ(α	γ(α	NOUN
ejpam-5583	100	10	)	)	PUNCT
ejpam-5583	100	11	s	s	PART
ejpam-5583	100	12	[	[	PUNCT
ejpam-5583	100	13	tα−1	tα−1	NOUN
ejpam-5583	100	14	∗	∗	NOUN
ejpam-5583	100	15	w(t	w(t	PROPN
ejpam-5583	100	16	)	)	PUNCT
ejpam-5583	100	17	]	]	PUNCT
ejpam-5583	100	18	.	.	PUNCT
ejpam-5583	101	1	by	by	ADP
ejpam-5583	101	2	using	use	VERB
ejpam-5583	101	3	convolution	convolution	NOUN
ejpam-5583	101	4	property	property	NOUN
ejpam-5583	101	5	of	of	ADP
ejpam-5583	101	6	swt	swt	PROPN
ejpam-5583	101	7	,	,	PUNCT
ejpam-5583	101	8	we	we	PRON
ejpam-5583	101	9	obtain	obtain	VERB
ejpam-5583	101	10	s	s	VERB
ejpam-5583	102	1	[	[	X
ejpam-5583	102	2	iαw	iαw	X
ejpam-5583	102	3	(	(	PUNCT
ejpam-5583	102	4	t	t	PROPN
ejpam-5583	102	5	)	)	PUNCT
ejpam-5583	102	6	]	]	PUNCT
ejpam-5583	103	1	=	=	PUNCT
ejpam-5583	103	2	v2	v2	PROPN
ejpam-5583	103	3	γ(α	γ(α	NOUN
ejpam-5583	103	4	)	)	PUNCT
ejpam-5583	103	5	s[tα−1]s[w(t	s[tα−1]s[w(t	NOUN
ejpam-5583	103	6	)	)	PUNCT
ejpam-5583	103	7	]	]	PUNCT
ejpam-5583	104	1	=	=	PUNCT
ejpam-5583	104	2	v2	v2	PROPN
ejpam-5583	104	3	γ	γ	X
ejpam-5583	104	4	(	(	PUNCT
ejpam-5583	104	5	α	α	NOUN
ejpam-5583	104	6	)	)	PUNCT
ejpam-5583	104	7	γ	γ	PROPN
ejpam-5583	104	8	(	(	PUNCT
ejpam-5583	104	9	α	α	NOUN
ejpam-5583	104	10	)	)	PUNCT
ejpam-5583	104	11	vα−2	vα−2	NOUN
ejpam-5583	104	12	r	r	NOUN
ejpam-5583	104	13	(	(	PUNCT
ejpam-5583	104	14	v	v	NOUN
ejpam-5583	104	15	)	)	PUNCT
ejpam-5583	104	16	=	=	NOUN
ejpam-5583	104	17	vαr	vαr	NOUN
ejpam-5583	104	18	(	(	PUNCT
ejpam-5583	104	19	v	v	NOUN
ejpam-5583	104	20	)	)	PUNCT
ejpam-5583	104	21	.	.	PUNCT
ejpam-5583	105	1	□	□	PUNCT
ejpam-5583	105	2	(	(	PUNCT
ejpam-5583	105	3	8)	8)	NUM
ejpam-5583	105	4	theorem	theorem	NOUN
ejpam-5583	105	5	4	4	NUM
ejpam-5583	105	6	.	.	PUNCT
ejpam-5583	106	1	if	if	SCONJ
ejpam-5583	106	2	r(v	r(v	PROPN
ejpam-5583	106	3	)	)	PUNCT
ejpam-5583	106	4	is	be	AUX
ejpam-5583	106	5	swt	swt	PROPN
ejpam-5583	106	6	of	of	ADP
ejpam-5583	106	7	the	the	DET
ejpam-5583	106	8	w	w	PROPN
ejpam-5583	106	9	(	(	PUNCT
ejpam-5583	106	10	t	t	PROPN
ejpam-5583	106	11	)	)	PUNCT
ejpam-5583	106	12	,	,	PUNCT
ejpam-5583	106	13	then	then	ADV
ejpam-5583	106	14	swt	swt	PROPN
ejpam-5583	106	15	of	of	ADP
ejpam-5583	106	16	caputo	caputo	PROPN
ejpam-5583	106	17	functional	functional	PROPN
ejpam-5583	106	18	derivative	derivative	NOUN
ejpam-5583	106	19	of	of	ADP
ejpam-5583	106	20	a	a	DET
ejpam-5583	106	21	function	function	NOUN
ejpam-5583	106	22	w	w	PROPN
ejpam-5583	106	23	(	(	PUNCT
ejpam-5583	106	24	t	t	PROPN
ejpam-5583	106	25	)	)	PUNCT
ejpam-5583	106	26	,	,	PUNCT
ejpam-5583	106	27	is	be	AUX
ejpam-5583	106	28	given	give	VERB
ejpam-5583	106	29	by	by	ADP
ejpam-5583	106	30	s	s	X
ejpam-5583	106	31	[	[	X
ejpam-5583	106	32	dαw(t	dαw(t	NOUN
ejpam-5583	106	33	)	)	PUNCT
ejpam-5583	106	34	]	]	PUNCT
ejpam-5583	107	1	=	=	SYM
ejpam-5583	107	2	1	1	NUM
ejpam-5583	107	3	vα	vα	ADP
ejpam-5583	107	4	r	r	NOUN
ejpam-5583	107	5	(	(	PUNCT
ejpam-5583	107	6	v	v	NOUN
ejpam-5583	107	7	)	)	PUNCT
ejpam-5583	107	8	−	−	PROPN
ejpam-5583	107	9	m−1∑	m−1∑	PROPN
ejpam-5583	107	10	k=0	k=0	PROPN
ejpam-5583	107	11	p	p	X
ejpam-5583	107	12	(	(	PUNCT
ejpam-5583	107	13	1	1	NUM
ejpam-5583	107	14	v	v	NOUN
ejpam-5583	107	15	)	)	PUNCT
ejpam-5583	107	16	m−(k−1	m−(k−1	PROPN
ejpam-5583	107	17	)	)	PUNCT
ejpam-5583	107	18	w(k	w(k	NOUN
ejpam-5583	107	19	)	)	PUNCT
ejpam-5583	107	20	(	(	PUNCT
ejpam-5583	107	21	0	0	NUM
ejpam-5583	107	22	)	)	PUNCT
ejpam-5583	107	23	,	,	PUNCT
ejpam-5583	107	24	(	(	PUNCT
ejpam-5583	107	25	9	9	X
ejpam-5583	107	26	)	)	PUNCT
ejpam-5583	107	27	where	where	SCONJ
ejpam-5583	107	28	,	,	PUNCT
ejpam-5583	107	29	m−	m−	PROPN
ejpam-5583	107	30	1	1	NUM
ejpam-5583	107	31	<	<	X
ejpam-5583	107	32	α	α	PROPN
ejpam-5583	107	33	≤	≤	PUNCT
ejpam-5583	107	34	m	m	PROPN
ejpam-5583	107	35	,	,	PUNCT
ejpam-5583	107	36	m	m	PROPN
ejpam-5583	107	37	∈	∈	NOUN
ejpam-5583	107	38	n.	n.	NOUN
ejpam-5583	107	39	proof	proof	NOUN
ejpam-5583	107	40	.	.	PUNCT
ejpam-5583	108	1	the	the	DET
ejpam-5583	108	2	definition	definition	NOUN
ejpam-5583	108	3	of	of	ADP
ejpam-5583	108	4	caputo	caputo	PROPN
ejpam-5583	108	5	derivative	derivative	PROPN
ejpam-5583	108	6	of	of	ADP
ejpam-5583	108	7	a	a	DET
ejpam-5583	108	8	function	function	NOUN
ejpam-5583	108	9	w(t	w(t	PROPN
ejpam-5583	108	10	)	)	PUNCT
ejpam-5583	108	11	is	be	AUX
ejpam-5583	108	12	dαw	dαw	NOUN
ejpam-5583	108	13	(	(	PUNCT
ejpam-5583	108	14	t	t	NOUN
ejpam-5583	108	15	)	)	PUNCT
ejpam-5583	108	16	=	=	SYM
ejpam-5583	108	17	1	1	NUM
ejpam-5583	108	18	γ	γ	X
ejpam-5583	108	19	(	(	PUNCT
ejpam-5583	108	20	m−	m−	PROPN
ejpam-5583	108	21	α	α	PROPN
ejpam-5583	108	22	)	)	PUNCT
ejpam-5583	108	23	∫	∫	PROPN
ejpam-5583	108	24	t	t	PROPN
ejpam-5583	108	25	0	0	NUM
ejpam-5583	108	26	w(m	w(m	PROPN
ejpam-5583	108	27	)	)	PUNCT
ejpam-5583	108	28	(	(	PUNCT
ejpam-5583	108	29	τ	τ	X
ejpam-5583	108	30	)	)	PUNCT
ejpam-5583	108	31	(	(	PUNCT
ejpam-5583	108	32	t−	t−	PROPN
ejpam-5583	108	33	τ)α+1−m	τ)α+1−m	VERB
ejpam-5583	108	34	dτ	dτ	NOUN
ejpam-5583	108	35	=	=	SYM
ejpam-5583	108	36	1	1	NUM
ejpam-5583	108	37	γ(m−	γ(m−	PROPN
ejpam-5583	108	38	α	α	NOUN
ejpam-5583	108	39	)	)	PUNCT
ejpam-5583	108	40	∫	∫	PROPN
ejpam-5583	108	41	t	t	PROPN
ejpam-5583	108	42	0	0	NUM
ejpam-5583	108	43	(	(	PUNCT
ejpam-5583	108	44	t−	t−	PROPN
ejpam-5583	108	45	τ)m−α−1w(m	τ)m−α−1w(m	NUM
ejpam-5583	108	46	)	)	PUNCT
ejpam-5583	108	47	(	(	PUNCT
ejpam-5583	108	48	τ	τ	NOUN
ejpam-5583	108	49	)	)	PUNCT
ejpam-5583	108	50	dτ	dτ	PROPN
ejpam-5583	108	51	,	,	PUNCT
ejpam-5583	108	52	m−	m−	PROPN
ejpam-5583	108	53	1	1	NUM
ejpam-5583	108	54	<	<	X
ejpam-5583	108	55	α	α	X
ejpam-5583	108	56	<	<	X
ejpam-5583	108	57	m	m	VERB
ejpam-5583	108	58	which	which	PRON
ejpam-5583	108	59	can	can	AUX
ejpam-5583	108	60	be	be	AUX
ejpam-5583	108	61	written	write	VERB
ejpam-5583	108	62	as	as	ADP
ejpam-5583	108	63	,	,	PUNCT
ejpam-5583	108	64	dαw(t	dαw(t	PROPN
ejpam-5583	108	65	)	)	PUNCT
ejpam-5583	108	66	=	=	SYM
ejpam-5583	108	67	1	1	NUM
ejpam-5583	108	68	γ	γ	X
ejpam-5583	108	69	(	(	PUNCT
ejpam-5583	108	70	m−	m−	PROPN
ejpam-5583	108	71	α	α	PROPN
ejpam-5583	108	72	)	)	PUNCT
ejpam-5583	108	73	(	(	PUNCT
ejpam-5583	108	74	tm−α−1	tm−α−1	NOUN
ejpam-5583	108	75	∗	∗	NOUN
ejpam-5583	108	76	w(m)(t	w(m)(t	NUM
ejpam-5583	108	77	)	)	PUNCT
ejpam-5583	108	78	)	)	PUNCT
ejpam-5583	108	79	.	.	PUNCT
ejpam-5583	109	1	(	(	PUNCT
ejpam-5583	109	2	10	10	X
ejpam-5583	109	3	)	)	PUNCT
ejpam-5583	109	4	taking	take	VERB
ejpam-5583	109	5	swt	swt	PROPN
ejpam-5583	109	6	to	to	ADP
ejpam-5583	109	7	both	both	DET
ejpam-5583	109	8	sides	side	NOUN
ejpam-5583	109	9	of	of	ADP
ejpam-5583	109	10	eq	eq	NOUN
ejpam-5583	109	11	(	(	PUNCT
ejpam-5583	109	12	10	10	NUM
ejpam-5583	109	13	)	)	PUNCT
ejpam-5583	109	14	,	,	PUNCT
ejpam-5583	109	15	we	we	PRON
ejpam-5583	109	16	obtain	obtain	VERB
ejpam-5583	109	17	s	s	VERB
ejpam-5583	109	18	[	[	X
ejpam-5583	109	19	dαw(t	dαw(t	NOUN
ejpam-5583	109	20	)	)	PUNCT
ejpam-5583	109	21	]	]	PUNCT
ejpam-5583	110	1	=	=	SYM
ejpam-5583	110	2	1	1	NUM
ejpam-5583	110	3	γ	γ	X
ejpam-5583	110	4	(	(	PUNCT
ejpam-5583	110	5	m−	m−	PROPN
ejpam-5583	110	6	α	α	NUM
ejpam-5583	110	7	)	)	PUNCT
ejpam-5583	110	8	s[tm−α−1	s[tm−α−1	PROPN
ejpam-5583	110	9	∗	∗	NOUN
ejpam-5583	110	10	w(m)(t	w(m)(t	NOUN
ejpam-5583	110	11	)	)	PUNCT
ejpam-5583	110	12	]	]	PUNCT
ejpam-5583	110	13	.	.	PUNCT
ejpam-5583	111	1	by	by	ADP
ejpam-5583	111	2	using	use	VERB
ejpam-5583	111	3	convolution	convolution	NOUN
ejpam-5583	111	4	property	property	NOUN
ejpam-5583	111	5	of	of	ADP
ejpam-5583	111	6	swt	swt	PROPN
ejpam-5583	111	7	,	,	PUNCT
ejpam-5583	111	8	s	s	PART
ejpam-5583	112	1	[	[	X
ejpam-5583	113	1	dαw(t	dαw(t	NOUN
ejpam-5583	113	2	)	)	PUNCT
ejpam-5583	113	3	]	]	PUNCT
ejpam-5583	114	1	=	=	PUNCT
ejpam-5583	114	2	v2	v2	VERB
ejpam-5583	114	3	γ(m−	γ(m−	PROPN
ejpam-5583	114	4	α	α	NOUN
ejpam-5583	114	5	)	)	PUNCT
ejpam-5583	114	6	s	s	PART
ejpam-5583	114	7	[	[	PUNCT
ejpam-5583	114	8	tm−α−1	tm−α−1	X
ejpam-5583	114	9	]	]	PUNCT
ejpam-5583	114	10	s	s	X
ejpam-5583	114	11	[	[	PUNCT
ejpam-5583	114	12	w(m	w(m	PROPN
ejpam-5583	114	13	)	)	PUNCT
ejpam-5583	114	14	(	(	PUNCT
ejpam-5583	114	15	t	t	PROPN
ejpam-5583	114	16	)	)	PUNCT
ejpam-5583	114	17	]	]	PUNCT
ejpam-5583	115	1	=	=	PUNCT
ejpam-5583	115	2	v2	v2	PROPN
ejpam-5583	115	3	γ	γ	X
ejpam-5583	115	4	(	(	PUNCT
ejpam-5583	115	5	m−	m−	PROPN
ejpam-5583	115	6	α	α	NUM
ejpam-5583	115	7	)	)	PUNCT
ejpam-5583	115	8	γ	γ	PROPN
ejpam-5583	115	9	(	(	PUNCT
ejpam-5583	115	10	m−	m−	PROPN
ejpam-5583	115	11	α	α	NUM
ejpam-5583	115	12	)	)	PUNCT
ejpam-5583	115	13	vm−α−2	vm−α−2	NOUN
ejpam-5583	115	14	(	(	PUNCT
ejpam-5583	115	15	1	1	NUM
ejpam-5583	115	16	vm	vm	NOUN
ejpam-5583	115	17	r	r	NOUN
ejpam-5583	115	18	(	(	PUNCT
ejpam-5583	115	19	v	v	NOUN
ejpam-5583	115	20	)	)	PUNCT
ejpam-5583	115	21	−	−	PROPN
ejpam-5583	115	22	m−1∑	m−1∑	PROPN
ejpam-5583	115	23	k=0	k=0	X
ejpam-5583	115	24	(	(	PUNCT
ejpam-5583	115	25	1	1	NUM
ejpam-5583	115	26	v	v	NOUN
ejpam-5583	115	27	)	)	PUNCT
ejpam-5583	115	28	m−(k−1	m−(k−1	PROPN
ejpam-5583	115	29	)	)	PUNCT
ejpam-5583	115	30	w(k	w(k	NOUN
ejpam-5583	115	31	)	)	PUNCT
ejpam-5583	115	32	(	(	PUNCT
ejpam-5583	115	33	0	0	NUM
ejpam-5583	115	34	)	)	PUNCT
ejpam-5583	115	35	)	)	PUNCT
ejpam-5583	116	1	=	=	SYM
ejpam-5583	116	2	vm−α	vm−α	ADV
ejpam-5583	116	3	(	(	PUNCT
ejpam-5583	116	4	1	1	NUM
ejpam-5583	116	5	vm	vm	NOUN
ejpam-5583	116	6	r	r	NOUN
ejpam-5583	116	7	(	(	PUNCT
ejpam-5583	116	8	v	v	NOUN
ejpam-5583	116	9	)	)	PUNCT
ejpam-5583	116	10	−	−	PROPN
ejpam-5583	116	11	m−1∑	m−1∑	PROPN
ejpam-5583	116	12	k=0	k=0	X
ejpam-5583	116	13	(	(	PUNCT
ejpam-5583	116	14	1	1	NUM
ejpam-5583	116	15	v	v	NOUN
ejpam-5583	116	16	)	)	PUNCT
ejpam-5583	116	17	m−(k−1	m−(k−1	PROPN
ejpam-5583	116	18	)	)	PUNCT
ejpam-5583	116	19	w(k	w(k	NOUN
ejpam-5583	116	20	)	)	PUNCT
ejpam-5583	116	21	(	(	PUNCT
ejpam-5583	116	22	0	0	NUM
ejpam-5583	116	23	)	)	PUNCT
ejpam-5583	116	24	)	)	PUNCT
ejpam-5583	117	1	=	=	SYM
ejpam-5583	118	1	1	1	NUM
ejpam-5583	118	2	vα	vα	ADP
ejpam-5583	118	3	r	r	NOUN
ejpam-5583	118	4	(	(	PUNCT
ejpam-5583	118	5	v	v	NOUN
ejpam-5583	118	6	)	)	PUNCT
ejpam-5583	118	7	−	−	PROPN
ejpam-5583	118	8	m−1∑	m−1∑	PROPN
ejpam-5583	118	9	k=0	k=0	X
ejpam-5583	118	10	(	(	PUNCT
ejpam-5583	118	11	1	1	NUM
ejpam-5583	118	12	v	v	NOUN
ejpam-5583	118	13	)	)	PUNCT
ejpam-5583	118	14	m−(k−1	m−(k−1	PROPN
ejpam-5583	118	15	)	)	PUNCT
ejpam-5583	118	16	w(k	w(k	NOUN
ejpam-5583	118	17	)	)	PUNCT
ejpam-5583	118	18	(	(	PUNCT
ejpam-5583	118	19	0	0	NUM
ejpam-5583	118	20	)	)	PUNCT
ejpam-5583	118	21	.	.	PUNCT
ejpam-5583	119	1	□	□	PUNCT
ejpam-5583	119	2	r.	r.	PROPN
ejpam-5583	119	3	saadeh	saadeh	PROPN
ejpam-5583	119	4	,	,	PUNCT
ejpam-5583	119	5	a.	a.	PROPN
ejpam-5583	119	6	al	al	PROPN
ejpam-5583	119	7	-	-	PUNCT
ejpam-5583	119	8	wadi	wadi	PROPN
ejpam-5583	119	9	,	,	PUNCT
ejpam-5583	119	10	a.	a.	NOUN
ejpam-5583	119	11	qazza	qazza	PROPN
ejpam-5583	119	12	/	/	SYM
ejpam-5583	119	13	eur	eur	PROPN
ejpam-5583	119	14	.	.	PUNCT
ejpam-5583	120	1	j.	j.	PROPN
ejpam-5583	120	2	pure	pure	PROPN
ejpam-5583	120	3	appl	appl	PROPN
ejpam-5583	120	4	.	.	PROPN
ejpam-5583	120	5	math	math	PROPN
ejpam-5583	120	6	,	,	PUNCT
ejpam-5583	120	7	18	18	NUM
ejpam-5583	120	8	(	(	PUNCT
ejpam-5583	120	9	1	1	NUM
ejpam-5583	120	10	)	)	PUNCT
ejpam-5583	120	11	(	(	PUNCT
ejpam-5583	120	12	2025	2025	NUM
ejpam-5583	120	13	)	)	PUNCT
ejpam-5583	120	14	,	,	PUNCT
ejpam-5583	120	15	5583	5583	NUM
ejpam-5583	120	16	6	6	NUM
ejpam-5583	120	17	of	of	ADP
ejpam-5583	120	18	16	16	NUM
ejpam-5583	120	19	4	4	NUM
ejpam-5583	120	20	.	.	PUNCT
ejpam-5583	120	21	iterative	iterative	NOUN
ejpam-5583	120	22	method	method	NOUN
ejpam-5583	120	23	in	in	ADP
ejpam-5583	120	24	this	this	DET
ejpam-5583	120	25	section	section	NOUN
ejpam-5583	121	1	,	,	PUNCT
ejpam-5583	121	2	we	we	PRON
ejpam-5583	121	3	discuss	discuss	VERB
ejpam-5583	121	4	the	the	DET
ejpam-5583	121	5	iterative	iterative	NOUN
ejpam-5583	121	6	method	method	NOUN
ejpam-5583	121	7	,	,	PUNCT
ejpam-5583	121	8	and	and	CCONJ
ejpam-5583	121	9	in	in	ADP
ejpam-5583	121	10	the	the	DET
ejpam-5583	121	11	second	second	ADJ
ejpam-5583	121	12	one	one	NOUN
ejpam-5583	121	13	we	we	PRON
ejpam-5583	121	14	present	present	VERB
ejpam-5583	121	15	sim	sim	NOUN
ejpam-5583	121	16	for	for	ADP
ejpam-5583	121	17	solving	solve	VERB
ejpam-5583	121	18	delay	delay	NOUN
ejpam-5583	121	19	differential	differential	ADJ
ejpam-5583	121	20	equation	equation	NOUN
ejpam-5583	121	21	(	(	PUNCT
ejpam-5583	121	22	dde	dde	PROPN
ejpam-5583	121	23	)	)	PUNCT
ejpam-5583	121	24	.	.	PUNCT
ejpam-5583	122	1	let	let	VERB
ejpam-5583	122	2	us	we	PRON
ejpam-5583	122	3	consider	consider	VERB
ejpam-5583	122	4	the	the	DET
ejpam-5583	122	5	following	follow	VERB
ejpam-5583	122	6	general	general	ADJ
ejpam-5583	122	7	functional	functional	ADJ
ejpam-5583	122	8	equation	equation	NOUN
ejpam-5583	122	9	w	w	PROPN
ejpam-5583	122	10	(	(	PUNCT
ejpam-5583	122	11	t	t	PROPN
ejpam-5583	122	12	)	)	PUNCT
ejpam-5583	122	13	=	=	SYM
ejpam-5583	122	14	n	n	CCONJ
ejpam-5583	122	15	(	(	PUNCT
ejpam-5583	122	16	w	w	NOUN
ejpam-5583	122	17	)	)	PUNCT
ejpam-5583	122	18	+	+	CCONJ
ejpam-5583	122	19	g	g	PROPN
ejpam-5583	122	20	(	(	PUNCT
ejpam-5583	122	21	t	t	PROPN
ejpam-5583	122	22	)	)	PUNCT
ejpam-5583	122	23	,	,	PUNCT
ejpam-5583	122	24	(	(	PUNCT
ejpam-5583	122	25	11	11	NUM
ejpam-5583	122	26	)	)	PUNCT
ejpam-5583	122	27	where	where	SCONJ
ejpam-5583	122	28	n	n	PRON
ejpam-5583	122	29	is	be	AUX
ejpam-5583	122	30	a	a	DET
ejpam-5583	122	31	nonlinear	nonlinear	ADJ
ejpam-5583	122	32	operator	operator	NOUN
ejpam-5583	122	33	from	from	ADP
ejpam-5583	122	34	a	a	DET
ejpam-5583	122	35	banach	banach	NOUN
ejpam-5583	122	36	space	space	NOUN
ejpam-5583	122	37	s	s	PART
ejpam-5583	122	38	−→	−→	NOUN
ejpam-5583	122	39	s	s	NOUN
ejpam-5583	122	40	,	,	PUNCT
ejpam-5583	122	41	and	and	CCONJ
ejpam-5583	122	42	g(t	g(t	PROPN
ejpam-5583	122	43	)	)	PUNCT
ejpam-5583	122	44	is	be	AUX
ejpam-5583	122	45	a	a	DET
ejpam-5583	122	46	known	know	VERB
ejpam-5583	122	47	function	function	NOUN
ejpam-5583	122	48	.	.	PUNCT
ejpam-5583	123	1	we	we	PRON
ejpam-5583	123	2	are	be	AUX
ejpam-5583	123	3	looking	look	VERB
ejpam-5583	123	4	for	for	ADP
ejpam-5583	123	5	a	a	DET
ejpam-5583	123	6	solution	solution	NOUN
ejpam-5583	123	7	w(t	w(t	PROPN
ejpam-5583	123	8	)	)	PUNCT
ejpam-5583	123	9	of	of	ADP
ejpam-5583	123	10	eq	eq	NOUN
ejpam-5583	123	11	(	(	PUNCT
ejpam-5583	123	12	11	11	NUM
ejpam-5583	123	13	)	)	PUNCT
ejpam-5583	123	14	,	,	PUNCT
ejpam-5583	123	15	having	have	VERB
ejpam-5583	123	16	the	the	DET
ejpam-5583	123	17	series	series	NOUN
ejpam-5583	123	18	form	form	NOUN
ejpam-5583	123	19	:	:	PUNCT
ejpam-5583	123	20	w	w	PROPN
ejpam-5583	123	21	(	(	PUNCT
ejpam-5583	123	22	t	t	PROPN
ejpam-5583	123	23	)	)	PUNCT
ejpam-5583	123	24	=	=	PUNCT
ejpam-5583	124	1	∞∑	∞∑	NUM
ejpam-5583	124	2	i=0	i=0	PROPN
ejpam-5583	124	3	wi	wi	PROPN
ejpam-5583	124	4	(	(	PUNCT
ejpam-5583	124	5	t	t	PROPN
ejpam-5583	124	6	)	)	PUNCT
ejpam-5583	124	7	.	.	PUNCT
ejpam-5583	125	1	(	(	PUNCT
ejpam-5583	125	2	12	12	NUM
ejpam-5583	125	3	)	)	PUNCT
ejpam-5583	125	4	the	the	DET
ejpam-5583	125	5	nonlinear	nonlinear	ADJ
ejpam-5583	125	6	operator	operator	NOUN
ejpam-5583	125	7	n	n	CCONJ
ejpam-5583	125	8	can	can	AUX
ejpam-5583	125	9	be	be	AUX
ejpam-5583	125	10	decomposed	decompose	VERB
ejpam-5583	125	11	as	as	ADP
ejpam-5583	125	12	:	:	PUNCT
ejpam-5583	125	13	n	n	X
ejpam-5583	125	14	[	[	PUNCT
ejpam-5583	125	15	∞∑	∞∑	NUM
ejpam-5583	125	16	i=0	i=0	ADJ
ejpam-5583	125	17	wi(t	wi(t	NOUN
ejpam-5583	125	18	)	)	PUNCT
ejpam-5583	125	19	]	]	PUNCT
ejpam-5583	126	1	=	=	SYM
ejpam-5583	126	2	n	n	CCONJ
ejpam-5583	126	3	(	(	PUNCT
ejpam-5583	126	4	w0	w0	PROPN
ejpam-5583	126	5	)	)	PUNCT
ejpam-5583	126	6	+	+	CCONJ
ejpam-5583	127	1	∞∑	∞∑	NUM
ejpam-5583	127	2	i=1	i=1	X
ejpam-5583	127	3	(	(	PUNCT
ejpam-5583	127	4	n	n	X
ejpam-5583	127	5	[	[	PUNCT
ejpam-5583	127	6	i∑	i∑	PROPN
ejpam-5583	127	7	k=0	k=0	PROPN
ejpam-5583	127	8	pwk(t	pwk(t	PROPN
ejpam-5583	127	9	)	)	PUNCT
ejpam-5583	127	10	]	]	PUNCT
ejpam-5583	128	1	−n	−n	ADV
ejpam-5583	128	2	[	[	PUNCT
ejpam-5583	128	3	i−1∑	i−1∑	NUM
ejpam-5583	128	4	k=0	k=0	PROPN
ejpam-5583	128	5	wk(t	wk(t	NUM
ejpam-5583	128	6	)	)	PUNCT
ejpam-5583	128	7	]	]	PUNCT
ejpam-5583	128	8	)	)	PUNCT
ejpam-5583	128	9	.	.	PUNCT
ejpam-5583	129	1	(	(	PUNCT
ejpam-5583	129	2	13	13	NUM
ejpam-5583	129	3	)	)	PUNCT
ejpam-5583	129	4	from	from	ADP
ejpam-5583	129	5	eq	eq	NOUN
ejpam-5583	129	6	(	(	PUNCT
ejpam-5583	129	7	12	12	NUM
ejpam-5583	129	8	)	)	PUNCT
ejpam-5583	129	9	and	and	CCONJ
ejpam-5583	129	10	(	(	PUNCT
ejpam-5583	129	11	13	13	NUM
ejpam-5583	129	12	)	)	PUNCT
ejpam-5583	129	13	,	,	PUNCT
ejpam-5583	129	14	the	the	DET
ejpam-5583	129	15	eq	eq	NOUN
ejpam-5583	129	16	(	(	PUNCT
ejpam-5583	129	17	11	11	NUM
ejpam-5583	129	18	)	)	PUNCT
ejpam-5583	129	19	is	be	AUX
ejpam-5583	129	20	equivalent	equivalent	ADJ
ejpam-5583	129	21	to	to	ADP
ejpam-5583	129	22	∞∑	∞∑	PRON
ejpam-5583	129	23	i=0	i=0	ADJ
ejpam-5583	129	24	wi(t	wi(t	NOUN
ejpam-5583	129	25	)	)	PUNCT
ejpam-5583	129	26	=	=	SYM
ejpam-5583	129	27	g(t	g(t	PROPN
ejpam-5583	129	28	)	)	PUNCT
ejpam-5583	130	1	+	+	CCONJ
ejpam-5583	130	2	n	n	CCONJ
ejpam-5583	130	3	(	(	PUNCT
ejpam-5583	130	4	w0(t	w0(t	PROPN
ejpam-5583	130	5	)	)	PUNCT
ejpam-5583	130	6	)	)	PUNCT
ejpam-5583	131	1	+	+	CCONJ
ejpam-5583	131	2	∞∑	∞∑	NUM
ejpam-5583	131	3	i=0	i=0	PROPN
ejpam-5583	131	4	(	(	PUNCT
ejpam-5583	131	5	n	n	X
ejpam-5583	131	6	[	[	PUNCT
ejpam-5583	131	7	i∑	i∑	PROPN
ejpam-5583	131	8	k=0	k=0	PROPN
ejpam-5583	131	9	wi(t	wi(t	NOUN
ejpam-5583	131	10	)	)	PUNCT
ejpam-5583	131	11	]	]	PUNCT
ejpam-5583	132	1	−n	−n	ADV
ejpam-5583	132	2	[	[	PUNCT
ejpam-5583	132	3	i−1∑	i−1∑	NUM
ejpam-5583	132	4	k=0	k=0	PROPN
ejpam-5583	132	5	wk(t	wk(t	NUM
ejpam-5583	132	6	)	)	PUNCT
ejpam-5583	132	7	]	]	PUNCT
ejpam-5583	132	8	)	)	PUNCT
ejpam-5583	132	9	.	.	PUNCT
ejpam-5583	133	1	(	(	PUNCT
ejpam-5583	133	2	14	14	NUM
ejpam-5583	133	3	)	)	PUNCT
ejpam-5583	133	4	now	now	ADV
ejpam-5583	133	5	,	,	PUNCT
ejpam-5583	133	6	we	we	PRON
ejpam-5583	133	7	define	define	VERB
ejpam-5583	133	8	the	the	DET
ejpam-5583	133	9	recurrence	recurrence	NOUN
ejpam-5583	133	10	relation	relation	NOUN
ejpam-5583	133	11	:	:	PUNCT
ejpam-5583	133	12	w0	w0	PROPN
ejpam-5583	133	13	=	=	PROPN
ejpam-5583	133	14	g	g	PROPN
ejpam-5583	133	15	(	(	PUNCT
ejpam-5583	133	16	t	t	PROPN
ejpam-5583	133	17	)	)	PUNCT
ejpam-5583	133	18	,	,	PUNCT
ejpam-5583	133	19	w1	w1	NOUN
ejpam-5583	133	20	=	=	SYM
ejpam-5583	133	21	n	n	CCONJ
ejpam-5583	133	22	[	[	X
ejpam-5583	133	23	w0	w0	PROPN
ejpam-5583	133	24	]	]	PUNCT
ejpam-5583	133	25	,	,	PUNCT
ejpam-5583	133	26	w2	w2	NOUN
ejpam-5583	133	27	=	=	SYM
ejpam-5583	133	28	n	n	PROPN
ejpam-5583	133	29	[	[	X
ejpam-5583	133	30	w0	w0	PROPN
ejpam-5583	133	31	+	+	CCONJ
ejpam-5583	133	32	w1	w1	NOUN
ejpam-5583	133	33	]	]	PUNCT
ejpam-5583	133	34	−n	−n	PROPN
ejpam-5583	133	35	[	[	X
ejpam-5583	133	36	w0	w0	PROPN
ejpam-5583	133	37	]	]	PUNCT
ejpam-5583	133	38	,	,	PUNCT
ejpam-5583	133	39	w3	w3	PROPN
ejpam-5583	133	40	=	=	SYM
ejpam-5583	133	41	n	n	PROPN
ejpam-5583	133	42	[	[	X
ejpam-5583	133	43	w0	w0	PROPN
ejpam-5583	133	44	+	+	CCONJ
ejpam-5583	133	45	w1	w1	NOUN
ejpam-5583	133	46	+	+	CCONJ
ejpam-5583	133	47	w2	w2	NOUN
ejpam-5583	133	48	]	]	PUNCT
ejpam-5583	133	49	−n	−n	PROPN
ejpam-5583	133	50	[	[	X
ejpam-5583	133	51	w0	w0	PROPN
ejpam-5583	133	52	+	+	CCONJ
ejpam-5583	133	53	w1	w1	NOUN
ejpam-5583	133	54	]	]	PUNCT
ejpam-5583	133	55	,	,	PUNCT
ejpam-5583	133	56	w4	w4	NOUN
ejpam-5583	133	57	=	=	SYM
ejpam-5583	133	58	n	n	CCONJ
ejpam-5583	133	59	[	[	X
ejpam-5583	133	60	w0	w0	PROPN
ejpam-5583	133	61	+	+	CCONJ
ejpam-5583	133	62	w1	w1	NOUN
ejpam-5583	133	63	+	+	CCONJ
ejpam-5583	133	64	w2	w2	NOUN
ejpam-5583	133	65	+	+	CCONJ
ejpam-5583	133	66	w3	w3	PROPN
ejpam-5583	133	67	]	]	PUNCT
ejpam-5583	133	68	−n	−n	PROPN
ejpam-5583	133	69	[	[	X
ejpam-5583	133	70	w0	w0	PROPN
ejpam-5583	133	71	+	+	CCONJ
ejpam-5583	133	72	w1	w1	NOUN
ejpam-5583	133	73	+	+	CCONJ
ejpam-5583	133	74	w2	w2	NOUN
ejpam-5583	133	75	]	]	PUNCT
ejpam-5583	133	76	,	,	PUNCT
ejpam-5583	133	77	...	...	PUNCT
ejpam-5583	134	1	wm+1	wm+1	PROPN
ejpam-5583	134	2	=	=	PUNCT
ejpam-5583	134	3	n	n	PROPN
ejpam-5583	134	4	[	[	X
ejpam-5583	134	5	w0	w0	PROPN
ejpam-5583	134	6	+	+	CCONJ
ejpam-5583	134	7	·	·	PUNCT
ejpam-5583	134	8	·	·	PUNCT
ejpam-5583	134	9	·	·	PUNCT
ejpam-5583	135	1	+	+	CCONJ
ejpam-5583	135	2	wm	wm	X
ejpam-5583	135	3	]	]	X
ejpam-5583	135	4	−n	−n	PROPN
ejpam-5583	135	5	[	[	X
ejpam-5583	135	6	w0	w0	PROPN
ejpam-5583	135	7	+	+	CCONJ
ejpam-5583	135	8	·	·	PUNCT
ejpam-5583	135	9	·	·	PUNCT
ejpam-5583	135	10	·	·	PUNCT
ejpam-5583	136	1	+	+	PUNCT
ejpam-5583	136	2	wm−1	wm−1	NOUN
ejpam-5583	136	3	]	]	PUNCT
ejpam-5583	136	4	,	,	PUNCT
ejpam-5583	136	5	where	where	SCONJ
ejpam-5583	136	6	,	,	PUNCT
ejpam-5583	136	7	m	m	VERB
ejpam-5583	136	8	=	=	NOUN
ejpam-5583	136	9	1	1	NUM
ejpam-5583	136	10	,	,	PUNCT
ejpam-5583	136	11	2	2	NUM
ejpam-5583	136	12	,	,	PUNCT
ejpam-5583	136	13	3	3	NUM
ejpam-5583	136	14	,	,	PUNCT
ejpam-5583	136	15	.	.	PUNCT
ejpam-5583	136	16	.	.	PUNCT
ejpam-5583	137	1	..	..	PUNCT
ejpam-5583	137	2	thus	thus	ADV
ejpam-5583	137	3	,	,	PUNCT
ejpam-5583	137	4	w1	w1	NOUN
ejpam-5583	137	5	+	+	NOUN
ejpam-5583	137	6	w2	w2	NOUN
ejpam-5583	137	7	+	+	CCONJ
ejpam-5583	137	8	·	·	PUNCT
ejpam-5583	137	9	·	·	PUNCT
ejpam-5583	137	10	·	·	PUNCT
ejpam-5583	138	1	+	+	CCONJ
ejpam-5583	138	2	wm+1	wm+1	PROPN
ejpam-5583	138	3	=	=	SYM
ejpam-5583	138	4	n	n	CCONJ
ejpam-5583	138	5	[	[	X
ejpam-5583	138	6	w0	w0	PROPN
ejpam-5583	138	7	+	+	CCONJ
ejpam-5583	138	8	·	·	PUNCT
ejpam-5583	138	9	·	·	PUNCT
ejpam-5583	138	10	·	·	PUNCT
ejpam-5583	139	1	+	+	CCONJ
ejpam-5583	139	2	wm	wm	X
ejpam-5583	139	3	]	]	PUNCT
ejpam-5583	139	4	,	,	PUNCT
ejpam-5583	139	5	where	where	SCONJ
ejpam-5583	139	6	,	,	PUNCT
ejpam-5583	139	7	m	m	VERB
ejpam-5583	139	8	=	=	NOUN
ejpam-5583	139	9	1	1	NUM
ejpam-5583	139	10	,	,	PUNCT
ejpam-5583	139	11	2	2	NUM
ejpam-5583	139	12	,	,	PUNCT
ejpam-5583	139	13	.	.	PUNCT
ejpam-5583	139	14	.	.	PUNCT
ejpam-5583	139	15	.	.	PUNCT
ejpam-5583	140	1	,	,	PUNCT
ejpam-5583	141	1	and	and	CCONJ
ejpam-5583	141	2	w	w	PROPN
ejpam-5583	141	3	(	(	PUNCT
ejpam-5583	141	4	t	t	PROPN
ejpam-5583	141	5	)	)	PUNCT
ejpam-5583	141	6	=	=	PUNCT
ejpam-5583	142	1	∞∑	∞∑	NUM
ejpam-5583	142	2	i=0	i=0	PROPN
ejpam-5583	142	3	wi	wi	PROPN
ejpam-5583	142	4	(	(	PUNCT
ejpam-5583	142	5	t	t	PROPN
ejpam-5583	142	6	)	)	PUNCT
ejpam-5583	142	7	.	.	PUNCT
ejpam-5583	143	1	for	for	ADP
ejpam-5583	143	2	the	the	DET
ejpam-5583	143	3	convergence	convergence	NOUN
ejpam-5583	143	4	of	of	ADP
ejpam-5583	143	5	the	the	DET
ejpam-5583	143	6	iterative	iterative	NOUN
ejpam-5583	143	7	method	method	NOUN
ejpam-5583	143	8	,	,	PUNCT
ejpam-5583	143	9	we	we	PRON
ejpam-5583	143	10	introduce	introduce	VERB
ejpam-5583	143	11	the	the	DET
ejpam-5583	143	12	following	follow	VERB
ejpam-5583	143	13	two	two	NUM
ejpam-5583	143	14	theorems	theorem	NOUN
ejpam-5583	143	15	.	.	PUNCT
ejpam-5583	144	1	r.	r.	PROPN
ejpam-5583	144	2	saadeh	saadeh	PROPN
ejpam-5583	144	3	,	,	PUNCT
ejpam-5583	144	4	a.	a.	PROPN
ejpam-5583	144	5	al	al	PROPN
ejpam-5583	144	6	-	-	PUNCT
ejpam-5583	144	7	wadi	wadi	PROPN
ejpam-5583	144	8	,	,	PUNCT
ejpam-5583	144	9	a.	a.	NOUN
ejpam-5583	144	10	qazza	qazza	PROPN
ejpam-5583	144	11	/	/	SYM
ejpam-5583	144	12	eur	eur	PROPN
ejpam-5583	144	13	.	.	PUNCT
ejpam-5583	145	1	j.	j.	PROPN
ejpam-5583	145	2	pure	pure	PROPN
ejpam-5583	145	3	appl	appl	PROPN
ejpam-5583	145	4	.	.	PROPN
ejpam-5583	145	5	math	math	PROPN
ejpam-5583	145	6	,	,	PUNCT
ejpam-5583	145	7	18	18	NUM
ejpam-5583	145	8	(	(	PUNCT
ejpam-5583	145	9	1	1	NUM
ejpam-5583	145	10	)	)	PUNCT
ejpam-5583	145	11	(	(	PUNCT
ejpam-5583	145	12	2025	2025	NUM
ejpam-5583	145	13	)	)	PUNCT
ejpam-5583	145	14	,	,	PUNCT
ejpam-5583	145	15	5583	5583	NUM
ejpam-5583	145	16	7	7	NUM
ejpam-5583	145	17	of	of	ADP
ejpam-5583	145	18	16	16	NUM
ejpam-5583	145	19	theorem	theorem	NOUN
ejpam-5583	145	20	5	5	NUM
ejpam-5583	145	21	.	.	PUNCT
ejpam-5583	146	1	if	if	SCONJ
ejpam-5583	146	2	n	n	PRON
ejpam-5583	146	3	is	be	AUX
ejpam-5583	146	4	a	a	DET
ejpam-5583	146	5	continuously	continuously	ADV
ejpam-5583	146	6	differentiable	differentiable	ADJ
ejpam-5583	146	7	functional	functional	ADJ
ejpam-5583	146	8	in	in	ADP
ejpam-5583	146	9	a	a	DET
ejpam-5583	146	10	neighbourhood	neighbourhood	NOUN
ejpam-5583	146	11	of	of	ADP
ejpam-5583	146	12	w0	w0	PROPN
ejpam-5583	146	13	and	and	CCONJ
ejpam-5583	146	14	∥	∥	NUM
ejpam-5583	146	15	n	n	CCONJ
ejpam-5583	146	16	(	(	PUNCT
ejpam-5583	146	17	n	n	CCONJ
ejpam-5583	146	18	)	)	PUNCT
ejpam-5583	146	19	(	(	PUNCT
ejpam-5583	146	20	w0	w0	PROPN
ejpam-5583	146	21	)	)	PUNCT
ejpam-5583	146	22	∥=	∥=	ADJ
ejpam-5583	146	23	sup	sup	NOUN
ejpam-5583	146	24	{	{	PUNCT
ejpam-5583	146	25	n	n	CCONJ
ejpam-5583	146	26	(	(	PUNCT
ejpam-5583	146	27	n	n	CCONJ
ejpam-5583	146	28	)	)	PUNCT
ejpam-5583	146	29	(	(	PUNCT
ejpam-5583	146	30	w0	w0	PROPN
ejpam-5583	146	31	)	)	PUNCT
ejpam-5583	146	32	(	(	PUNCT
ejpam-5583	146	33	h1	h1	PROPN
ejpam-5583	146	34	,	,	PUNCT
ejpam-5583	146	35	h2	h2	PROPN
ejpam-5583	146	36	,	,	PUNCT
ejpam-5583	146	37	·	·	PUNCT
ejpam-5583	146	38	·	·	PUNCT
ejpam-5583	146	39	·	·	PUNCT
ejpam-5583	146	40	,	,	PUNCT
ejpam-5583	146	41	hn	hn	PROPN
ejpam-5583	146	42	)	)	PUNCT
ejpam-5583	146	43	:	:	PUNCT
ejpam-5583	146	44	∥	∥	NUM
ejpam-5583	146	45	hi	hi	INTJ
ejpam-5583	146	46	∥≤	∥≤	PROPN
ejpam-5583	146	47	1	1	NUM
ejpam-5583	146	48	,	,	PUNCT
ejpam-5583	146	49	1	1	NUM
ejpam-5583	146	50	≤	≤	NUM
ejpam-5583	146	51	i	i	PRON
ejpam-5583	146	52	≤	≤	ADJ
ejpam-5583	146	53	n	n	CCONJ
ejpam-5583	146	54	}	}	PUNCT
ejpam-5583	146	55	≤	≤	NUM
ejpam-5583	146	56	l	l	NOUN
ejpam-5583	146	57	,	,	PUNCT
ejpam-5583	146	58	for	for	ADP
ejpam-5583	146	59	each	each	DET
ejpam-5583	146	60	n	n	NOUN
ejpam-5583	146	61	and	and	CCONJ
ejpam-5583	146	62	for	for	ADP
ejpam-5583	146	63	some	some	DET
ejpam-5583	146	64	real	real	ADJ
ejpam-5583	146	65	l	l	NOUN
ejpam-5583	146	66	>	>	PUNCT
ejpam-5583	146	67	0	0	PUNCT
ejpam-5583	147	1	and	and	CCONJ
ejpam-5583	147	2	,	,	PUNCT
ejpam-5583	147	3	∥	∥	PROPN
ejpam-5583	147	4	wi	wi	PROPN
ejpam-5583	147	5	∥≤	∥≤	PROPN
ejpam-5583	147	6	m	m	PROPN
ejpam-5583	147	7	<	<	X
ejpam-5583	147	8	1	1	NUM
ejpam-5583	147	9	e	e	NOUN
ejpam-5583	147	10	,	,	PUNCT
ejpam-5583	147	11	i	i	PRON
ejpam-5583	147	12	=	=	NOUN
ejpam-5583	147	13	1	1	NUM
ejpam-5583	147	14	,	,	PUNCT
ejpam-5583	147	15	2	2	NUM
ejpam-5583	147	16	,	,	PUNCT
ejpam-5583	147	17	3	3	NUM
ejpam-5583	147	18	,	,	PUNCT
ejpam-5583	147	19	·	·	PUNCT
ejpam-5583	147	20	,	,	PUNCT
ejpam-5583	147	21	then	then	ADV
ejpam-5583	147	22	the	the	DET
ejpam-5583	147	23	series∑∞	series∑∞	PROPN
ejpam-5583	147	24	i=0wi+1	i=0wi+1	NOUN
ejpam-5583	147	25	is	be	AUX
ejpam-5583	147	26	absolutely	absolutely	ADV
ejpam-5583	147	27	convergent	convergent	ADJ
ejpam-5583	147	28	.	.	PUNCT
ejpam-5583	148	1	moreover	moreover	ADV
ejpam-5583	148	2	;	;	PUNCT
ejpam-5583	148	3	∥	∥	X
ejpam-5583	148	4	wi+1	wi+1	X
ejpam-5583	148	5	∥≤	∥≤	PROPN
ejpam-5583	148	6	lmnen−1(e−	lmnen−1(e−	PROPN
ejpam-5583	148	7	1	1	NUM
ejpam-5583	148	8	)	)	PUNCT
ejpam-5583	148	9	,	,	PUNCT
ejpam-5583	148	10	n	n	NOUN
ejpam-5583	148	11	=	=	SYM
ejpam-5583	148	12	1	1	NUM
ejpam-5583	148	13	,	,	PUNCT
ejpam-5583	148	14	2	2	NUM
ejpam-5583	148	15	,	,	PUNCT
ejpam-5583	148	16	·	·	PUNCT
ejpam-5583	148	17	·	·	PUNCT
ejpam-5583	148	18	·	·	PUNCT
ejpam-5583	148	19	.	.	PUNCT
ejpam-5583	149	1	theorem	theorem	VERB
ejpam-5583	149	2	6	6	NUM
ejpam-5583	149	3	.	.	PUNCT
ejpam-5583	150	1	if	if	SCONJ
ejpam-5583	150	2	n	n	PRON
ejpam-5583	150	3	is	be	AUX
ejpam-5583	150	4	continuously	continuously	ADV
ejpam-5583	150	5	differentiable	differentiable	ADJ
ejpam-5583	150	6	functional	functional	ADJ
ejpam-5583	150	7	in	in	ADP
ejpam-5583	150	8	a	a	DET
ejpam-5583	150	9	neighbourhood	neighbourhood	NOUN
ejpam-5583	150	10	of	of	ADP
ejpam-5583	150	11	w0	w0	PROPN
ejpam-5583	150	12	and	and	CCONJ
ejpam-5583	150	13	∥	∥	NUM
ejpam-5583	150	14	n	n	CCONJ
ejpam-5583	150	15	(	(	PUNCT
ejpam-5583	150	16	n	n	CCONJ
ejpam-5583	150	17	)	)	PUNCT
ejpam-5583	150	18	(	(	PUNCT
ejpam-5583	150	19	w0	w0	PROPN
ejpam-5583	150	20	)	)	PUNCT
ejpam-5583	150	21	∥	∥	NOUN
ejpam-5583	150	22	≤	≤	NUM
ejpam-5583	150	23	m	m	VERB
ejpam-5583	150	24	≤	≤	NUM
ejpam-5583	150	25	1	1	NUM
ejpam-5583	150	26	e	e	NOUN
ejpam-5583	150	27	,	,	PUNCT
ejpam-5583	150	28	then	then	ADV
ejpam-5583	150	29	the	the	DET
ejpam-5583	150	30	series	series	PROPN
ejpam-5583	150	31	∑∞	∑∞	NOUN
ejpam-5583	150	32	i=0wi+1	i=0wi+1	NOUN
ejpam-5583	150	33	is	be	AUX
ejpam-5583	150	34	absolutely	absolutely	ADV
ejpam-5583	150	35	convergent	convergent	ADJ
ejpam-5583	150	36	.	.	PUNCT
ejpam-5583	151	1	5	5	X
ejpam-5583	151	2	.	.	X
ejpam-5583	151	3	sim	sim	NOUN
ejpam-5583	151	4	for	for	ADP
ejpam-5583	151	5	fractional	fractional	ADJ
ejpam-5583	151	6	equations	equation	NOUN
ejpam-5583	151	7	let	let	VERB
ejpam-5583	151	8	us	we	PRON
ejpam-5583	151	9	consider	consider	VERB
ejpam-5583	151	10	the	the	DET
ejpam-5583	151	11	form	form	NOUN
ejpam-5583	151	12	of	of	ADP
ejpam-5583	151	13	fractional	fractional	ADJ
ejpam-5583	151	14	nonlinear	nonlinear	ADJ
ejpam-5583	151	15	differential	differential	ADJ
ejpam-5583	151	16	equation	equation	NOUN
ejpam-5583	151	17	dαw	dαw	NOUN
ejpam-5583	151	18	(	(	PUNCT
ejpam-5583	151	19	t	t	NOUN
ejpam-5583	151	20	)	)	PUNCT
ejpam-5583	152	1	+	+	NOUN
ejpam-5583	152	2	l	l	NOUN
ejpam-5583	153	1	[	[	X
ejpam-5583	153	2	w	w	X
ejpam-5583	153	3	(	(	PUNCT
ejpam-5583	153	4	t	t	PROPN
ejpam-5583	153	5	)	)	PUNCT
ejpam-5583	153	6	]	]	PUNCT
ejpam-5583	153	7	+	+	CCONJ
ejpam-5583	153	8	n	n	CCONJ
ejpam-5583	153	9	[	[	X
ejpam-5583	153	10	w	w	X
ejpam-5583	153	11	(	(	PUNCT
ejpam-5583	153	12	λt	λt	ADP
ejpam-5583	153	13	)	)	PUNCT
ejpam-5583	153	14	]	]	PUNCT
ejpam-5583	153	15	=	=	PUNCT
ejpam-5583	153	16	q	q	X
ejpam-5583	153	17	(	(	PUNCT
ejpam-5583	153	18	t	t	PROPN
ejpam-5583	153	19	)	)	PUNCT
ejpam-5583	153	20	,	,	PUNCT
ejpam-5583	153	21	(	(	PUNCT
ejpam-5583	153	22	15	15	NUM
ejpam-5583	153	23	)	)	PUNCT
ejpam-5583	153	24	with	with	ADP
ejpam-5583	153	25	the	the	DET
ejpam-5583	153	26	initial	initial	ADJ
ejpam-5583	153	27	condition	condition	NOUN
ejpam-5583	153	28	w	w	ADP
ejpam-5583	153	29	(	(	PUNCT
ejpam-5583	153	30	0	0	NUM
ejpam-5583	153	31	)	)	PUNCT
ejpam-5583	153	32	=	=	SYM
ejpam-5583	153	33	a	a	PRON
ejpam-5583	153	34	,	,	PUNCT
ejpam-5583	153	35	(	(	PUNCT
ejpam-5583	153	36	16	16	NUM
ejpam-5583	153	37	)	)	PUNCT
ejpam-5583	153	38	where	where	SCONJ
ejpam-5583	153	39	0	0	NUM
ejpam-5583	153	40	<	<	X
ejpam-5583	153	41	α	α	X
ejpam-5583	153	42	≤	≤	NUM
ejpam-5583	153	43	1	1	NUM
ejpam-5583	153	44	,	,	PUNCT
ejpam-5583	153	45	and	and	CCONJ
ejpam-5583	153	46	l	l	NOUN
ejpam-5583	153	47	refers	refer	VERB
ejpam-5583	153	48	to	to	ADP
ejpam-5583	153	49	the	the	DET
ejpam-5583	153	50	linear	linear	ADJ
ejpam-5583	153	51	operator	operator	NOUN
ejpam-5583	153	52	,	,	PUNCT
ejpam-5583	153	53	n	n	PRON
ejpam-5583	153	54	refers	refer	VERB
ejpam-5583	153	55	to	to	ADP
ejpam-5583	153	56	the	the	DET
ejpam-5583	153	57	nonlinear	nonlinear	ADJ
ejpam-5583	153	58	operator	operator	NOUN
ejpam-5583	153	59	and	and	CCONJ
ejpam-5583	153	60	,	,	PUNCT
ejpam-5583	153	61	dαw(t	dαw(t	PROPN
ejpam-5583	153	62	)	)	PUNCT
ejpam-5583	153	63	is	be	AUX
ejpam-5583	153	64	the	the	DET
ejpam-5583	153	65	caputo	caputo	PROPN
ejpam-5583	153	66	fractional	fractional	PROPN
ejpam-5583	153	67	derivative	derivative	NOUN
ejpam-5583	153	68	of	of	ADP
ejpam-5583	153	69	w(t	w(t	PROPN
ejpam-5583	153	70	)	)	PUNCT
ejpam-5583	153	71	.	.	PUNCT
ejpam-5583	154	1	now	now	ADV
ejpam-5583	154	2	,	,	PUNCT
ejpam-5583	154	3	we	we	PRON
ejpam-5583	154	4	introduce	introduce	VERB
ejpam-5583	154	5	the	the	DET
ejpam-5583	154	6	steps	step	NOUN
ejpam-5583	154	7	of	of	ADP
ejpam-5583	154	8	sim	sim	NOUN
ejpam-5583	154	9	to	to	PART
ejpam-5583	154	10	find	find	VERB
ejpam-5583	154	11	the	the	DET
ejpam-5583	154	12	solution	solution	NOUN
ejpam-5583	154	13	of	of	ADP
ejpam-5583	154	14	the	the	DET
ejpam-5583	154	15	problem	problem	NOUN
ejpam-5583	154	16	(	(	PUNCT
ejpam-5583	154	17	15	15	NUM
ejpam-5583	154	18	)	)	PUNCT
ejpam-5583	154	19	and	and	CCONJ
ejpam-5583	154	20	(	(	PUNCT
ejpam-5583	154	21	16	16	NUM
ejpam-5583	154	22	)	)	PUNCT
ejpam-5583	154	23	,	,	PUNCT
ejpam-5583	154	24	by	by	ADP
ejpam-5583	154	25	using	use	VERB
ejpam-5583	154	26	sim	sim	NOUN
ejpam-5583	154	27	for	for	ADP
ejpam-5583	154	28	fractional	fractional	ADJ
ejpam-5583	154	29	equations	equation	NOUN
ejpam-5583	154	30	.	.	PUNCT
ejpam-5583	155	1	step	step	NOUN
ejpam-5583	155	2	(	(	PUNCT
ejpam-5583	155	3	1	1	NUM
ejpam-5583	155	4	):	):	PUNCT
ejpam-5583	155	5	applying	apply	VERB
ejpam-5583	155	6	swt	swt	PROPN
ejpam-5583	155	7	on	on	ADP
ejpam-5583	155	8	eq	eq	PROPN
ejpam-5583	155	9	(	(	PUNCT
ejpam-5583	155	10	15	15	NUM
ejpam-5583	155	11	)	)	PUNCT
ejpam-5583	155	12	s	s	PART
ejpam-5583	156	1	[	[	X
ejpam-5583	156	2	dαw(t	dαw(t	NOUN
ejpam-5583	156	3	)	)	PUNCT
ejpam-5583	156	4	]	]	PUNCT
ejpam-5583	157	1	+	+	CCONJ
ejpam-5583	157	2	s[l[w(t	s[l[w(t	NUM
ejpam-5583	157	3	)	)	PUNCT
ejpam-5583	157	4	]	]	PUNCT
ejpam-5583	157	5	]	]	PUNCT
ejpam-5583	158	1	+	+	PUNCT
ejpam-5583	158	2	s[n	s[n	X
ejpam-5583	159	1	[	[	X
ejpam-5583	159	2	w	w	X
ejpam-5583	159	3	(	(	PUNCT
ejpam-5583	159	4	λt	λt	ADP
ejpam-5583	159	5	)	)	PUNCT
ejpam-5583	159	6	]	]	PUNCT
ejpam-5583	159	7	]	]	PUNCT
ejpam-5583	159	8	=	=	SYM
ejpam-5583	159	9	s	s	X
ejpam-5583	160	1	[	[	X
ejpam-5583	160	2	q	q	X
ejpam-5583	160	3	(	(	PUNCT
ejpam-5583	160	4	t	t	PROPN
ejpam-5583	160	5	)	)	PUNCT
ejpam-5583	160	6	]	]	PUNCT
ejpam-5583	160	7	.	.	PUNCT
ejpam-5583	161	1	(	(	PUNCT
ejpam-5583	161	2	17	17	NUM
ejpam-5583	161	3	)	)	PUNCT
ejpam-5583	161	4	by	by	ADP
ejpam-5583	161	5	running	run	VERB
ejpam-5583	161	6	swt	swt	PROPN
ejpam-5583	161	7	on	on	ADP
ejpam-5583	161	8	eq	eq	PROPN
ejpam-5583	161	9	(	(	PUNCT
ejpam-5583	161	10	17	17	NUM
ejpam-5583	161	11	)	)	PUNCT
ejpam-5583	161	12	,	,	PUNCT
ejpam-5583	161	13	we	we	PRON
ejpam-5583	161	14	obtain	obtain	VERB
ejpam-5583	161	15	r	r	NOUN
ejpam-5583	161	16	(	(	PUNCT
ejpam-5583	161	17	v	v	NOUN
ejpam-5583	161	18	)	)	PUNCT
ejpam-5583	161	19	vα	vα	ADP
ejpam-5583	162	1	−	−	PROPN
ejpam-5583	162	2	w	w	PROPN
ejpam-5583	162	3	(	(	PUNCT
ejpam-5583	162	4	0	0	NUM
ejpam-5583	162	5	)	)	PUNCT
ejpam-5583	162	6	vα+1	vα+1	NOUN
ejpam-5583	163	1	+	+	CCONJ
ejpam-5583	163	2	s	s	X
ejpam-5583	164	1	[	[	X
ejpam-5583	164	2	l	l	X
ejpam-5583	165	1	[	[	X
ejpam-5583	165	2	w	w	X
ejpam-5583	165	3	(	(	PUNCT
ejpam-5583	165	4	t	t	PROPN
ejpam-5583	165	5	)	)	PUNCT
ejpam-5583	165	6	]	]	PUNCT
ejpam-5583	165	7	]	]	PUNCT
ejpam-5583	165	8	+	+	PUNCT
ejpam-5583	165	9	s	s	X
ejpam-5583	166	1	[	[	X
ejpam-5583	166	2	n	n	X
ejpam-5583	166	3	[	[	X
ejpam-5583	166	4	w	w	X
ejpam-5583	166	5	(	(	PUNCT
ejpam-5583	166	6	λt	λt	ADP
ejpam-5583	166	7	)	)	PUNCT
ejpam-5583	166	8	]	]	PUNCT
ejpam-5583	166	9	]	]	PUNCT
ejpam-5583	166	10	=	=	SYM
ejpam-5583	166	11	s	s	X
ejpam-5583	167	1	[	[	X
ejpam-5583	167	2	q	q	X
ejpam-5583	167	3	(	(	PUNCT
ejpam-5583	167	4	t	t	PROPN
ejpam-5583	167	5	)	)	PUNCT
ejpam-5583	167	6	]	]	PUNCT
ejpam-5583	167	7	.	.	PUNCT
ejpam-5583	168	1	(	(	PUNCT
ejpam-5583	168	2	18	18	NUM
ejpam-5583	168	3	)	)	PUNCT
ejpam-5583	168	4	substituting	substitute	VERB
ejpam-5583	168	5	the	the	DET
ejpam-5583	168	6	initial	initial	ADJ
ejpam-5583	168	7	condition	condition	NOUN
ejpam-5583	168	8	eq	eq	ADP
ejpam-5583	168	9	(	(	PUNCT
ejpam-5583	168	10	16	16	NUM
ejpam-5583	168	11	)	)	PUNCT
ejpam-5583	168	12	into	into	ADP
ejpam-5583	168	13	eq	eq	NOUN
ejpam-5583	168	14	(	(	PUNCT
ejpam-5583	168	15	18	18	NUM
ejpam-5583	168	16	)	)	PUNCT
ejpam-5583	168	17	,	,	PUNCT
ejpam-5583	168	18	we	we	PRON
ejpam-5583	168	19	get	get	VERB
ejpam-5583	168	20	r(v	r(v	PROPN
ejpam-5583	168	21	)	)	PUNCT
ejpam-5583	169	1	vα	vα	ADP
ejpam-5583	169	2	−	−	PROPN
ejpam-5583	169	3	a	a	DET
ejpam-5583	169	4	vα+1	vα+1	NOUN
ejpam-5583	170	1	+	+	CCONJ
ejpam-5583	170	2	s	s	X
ejpam-5583	171	1	[	[	X
ejpam-5583	171	2	l	l	X
ejpam-5583	172	1	[	[	X
ejpam-5583	172	2	w	w	X
ejpam-5583	172	3	(	(	PUNCT
ejpam-5583	172	4	t	t	PROPN
ejpam-5583	172	5	)	)	PUNCT
ejpam-5583	172	6	]	]	PUNCT
ejpam-5583	172	7	]	]	PUNCT
ejpam-5583	172	8	+	+	PUNCT
ejpam-5583	172	9	s	s	X
ejpam-5583	173	1	[	[	X
ejpam-5583	173	2	n	n	X
ejpam-5583	173	3	[	[	X
ejpam-5583	173	4	w	w	X
ejpam-5583	173	5	(	(	PUNCT
ejpam-5583	173	6	λt	λt	ADP
ejpam-5583	173	7	)	)	PUNCT
ejpam-5583	173	8	]	]	PUNCT
ejpam-5583	173	9	]	]	PUNCT
ejpam-5583	173	10	=	=	SYM
ejpam-5583	173	11	s	s	X
ejpam-5583	174	1	[	[	X
ejpam-5583	174	2	q	q	X
ejpam-5583	174	3	(	(	PUNCT
ejpam-5583	174	4	t	t	PROPN
ejpam-5583	174	5	)	)	PUNCT
ejpam-5583	174	6	]	]	PUNCT
ejpam-5583	174	7	,	,	PUNCT
ejpam-5583	174	8	r	r	NOUN
ejpam-5583	174	9	(	(	PUNCT
ejpam-5583	174	10	v	v	NOUN
ejpam-5583	174	11	)	)	PUNCT
ejpam-5583	174	12	=	=	SYM
ejpam-5583	174	13	vα	vα	INTJ
ejpam-5583	174	14	(	(	PUNCT
ejpam-5583	174	15	a	a	DET
ejpam-5583	174	16	vα+1	vα+1	NOUN
ejpam-5583	175	1	+	+	CCONJ
ejpam-5583	175	2	s	s	PART
ejpam-5583	175	3	[	[	X
ejpam-5583	175	4	q	q	X
ejpam-5583	175	5	(	(	PUNCT
ejpam-5583	175	6	t	t	PROPN
ejpam-5583	175	7	)	)	PUNCT
ejpam-5583	175	8	]	]	PUNCT
ejpam-5583	176	1	−	−	PROPN
ejpam-5583	176	2	s	s	X
ejpam-5583	177	1	[	[	X
ejpam-5583	177	2	l	l	X
ejpam-5583	178	1	[	[	X
ejpam-5583	178	2	w	w	X
ejpam-5583	178	3	(	(	PUNCT
ejpam-5583	178	4	t	t	PROPN
ejpam-5583	178	5	)	)	PUNCT
ejpam-5583	178	6	]	]	PUNCT
ejpam-5583	178	7	]	]	PUNCT
ejpam-5583	178	8	)	)	PUNCT
ejpam-5583	178	9	−	−	PROPN
ejpam-5583	178	10	vα	vα	INTJ
ejpam-5583	178	11	(	(	PUNCT
ejpam-5583	178	12	s	s	X
ejpam-5583	178	13	[	[	X
ejpam-5583	178	14	n	n	X
ejpam-5583	178	15	[	[	X
ejpam-5583	178	16	w	w	X
ejpam-5583	178	17	(	(	PUNCT
ejpam-5583	178	18	λt	λt	ADP
ejpam-5583	178	19	)	)	PUNCT
ejpam-5583	178	20	]	]	X
ejpam-5583	178	21	]	]	PUNCT
ejpam-5583	178	22	)	)	PUNCT
ejpam-5583	178	23	.	.	PUNCT
ejpam-5583	179	1	(	(	PUNCT
ejpam-5583	179	2	19	19	NUM
ejpam-5583	179	3	)	)	PUNCT
ejpam-5583	179	4	step	step	NOUN
ejpam-5583	179	5	(	(	PUNCT
ejpam-5583	179	6	2	2	NUM
ejpam-5583	179	7	):	):	PUNCT
ejpam-5583	179	8	by	by	ADP
ejpam-5583	179	9	taking	take	VERB
ejpam-5583	179	10	the	the	DET
ejpam-5583	179	11	inverse	inverse	NOUN
ejpam-5583	179	12	swt	swt	PROPN
ejpam-5583	179	13	on	on	ADP
ejpam-5583	179	14	both	both	DET
ejpam-5583	179	15	sides	side	NOUN
ejpam-5583	179	16	of	of	ADP
ejpam-5583	179	17	eq	eq	NOUN
ejpam-5583	179	18	(	(	PUNCT
ejpam-5583	179	19	19	19	NUM
ejpam-5583	179	20	)	)	PUNCT
ejpam-5583	179	21	,	,	PUNCT
ejpam-5583	179	22	we	we	PRON
ejpam-5583	179	23	obtain	obtain	VERB
ejpam-5583	179	24	s−1	s−1	PROPN
ejpam-5583	180	1	[	[	X
ejpam-5583	180	2	r	r	NOUN
ejpam-5583	180	3	(	(	PUNCT
ejpam-5583	180	4	v	v	NOUN
ejpam-5583	180	5	)	)	PUNCT
ejpam-5583	180	6	]	]	PUNCT
ejpam-5583	181	1	=	=	PUNCT
ejpam-5583	181	2	s−1	s−1	PROPN
ejpam-5583	181	3	[	[	PUNCT
ejpam-5583	181	4	vα	vα	X
ejpam-5583	181	5	(	(	PUNCT
ejpam-5583	181	6	a	a	DET
ejpam-5583	181	7	vα+1	vα+1	NOUN
ejpam-5583	181	8	+	+	CCONJ
ejpam-5583	181	9	s	s	PART
ejpam-5583	182	1	[	[	X
ejpam-5583	182	2	q	q	X
ejpam-5583	182	3	(	(	PUNCT
ejpam-5583	182	4	t	t	PROPN
ejpam-5583	182	5	)	)	PUNCT
ejpam-5583	182	6	]	]	PUNCT
ejpam-5583	183	1	−	−	PROPN
ejpam-5583	183	2	s	s	X
ejpam-5583	184	1	[	[	X
ejpam-5583	184	2	l	l	X
ejpam-5583	185	1	[	[	X
ejpam-5583	185	2	w	w	X
ejpam-5583	185	3	(	(	PUNCT
ejpam-5583	185	4	t	t	PROPN
ejpam-5583	185	5	)	)	PUNCT
ejpam-5583	185	6	]	]	PUNCT
ejpam-5583	185	7	]	]	PUNCT
ejpam-5583	185	8	)	)	PUNCT
ejpam-5583	185	9	−	−	PROPN
ejpam-5583	185	10	vα	vα	INTJ
ejpam-5583	185	11	(	(	PUNCT
ejpam-5583	185	12	s	s	X
ejpam-5583	185	13	[	[	X
ejpam-5583	185	14	n	n	X
ejpam-5583	185	15	[	[	X
ejpam-5583	185	16	w(λt	w(λt	NOUN
ejpam-5583	185	17	)	)	PUNCT
ejpam-5583	185	18	]	]	PUNCT
ejpam-5583	185	19	]	]	PUNCT
ejpam-5583	185	20	)	)	PUNCT
ejpam-5583	185	21	]	]	PUNCT
ejpam-5583	185	22	,	,	PUNCT
ejpam-5583	185	23	w	w	PROPN
ejpam-5583	185	24	(	(	PUNCT
ejpam-5583	185	25	t	t	NOUN
ejpam-5583	185	26	)	)	PUNCT
ejpam-5583	185	27	=	=	PUNCT
ejpam-5583	186	1	s−1	s−1	PROPN
ejpam-5583	186	2	[	[	PUNCT
ejpam-5583	186	3	vα	vα	X
ejpam-5583	186	4	(	(	PUNCT
ejpam-5583	186	5	a	a	DET
ejpam-5583	186	6	vα+1	vα+1	NOUN
ejpam-5583	186	7	+	+	CCONJ
ejpam-5583	186	8	s	s	PART
ejpam-5583	187	1	[	[	X
ejpam-5583	187	2	q	q	X
ejpam-5583	187	3	(	(	PUNCT
ejpam-5583	187	4	t	t	PROPN
ejpam-5583	187	5	)	)	PUNCT
ejpam-5583	187	6	]	]	PUNCT
ejpam-5583	188	1	−	−	PROPN
ejpam-5583	188	2	s	s	X
ejpam-5583	189	1	[	[	X
ejpam-5583	189	2	l	l	X
ejpam-5583	190	1	[	[	X
ejpam-5583	190	2	w	w	X
ejpam-5583	190	3	(	(	PUNCT
ejpam-5583	190	4	t	t	PROPN
ejpam-5583	190	5	)	)	PUNCT
ejpam-5583	190	6	]	]	X
ejpam-5583	190	7	]	]	PUNCT
ejpam-5583	190	8	)	)	PUNCT
ejpam-5583	190	9	]	]	PUNCT
ejpam-5583	191	1	−	−	PUNCT
ejpam-5583	192	1	s−1	s−1	PROPN
ejpam-5583	192	2	[	[	X
ejpam-5583	192	3	vα	vα	X
ejpam-5583	192	4	(	(	PUNCT
ejpam-5583	192	5	s	s	X
ejpam-5583	192	6	[	[	X
ejpam-5583	192	7	n	n	X
ejpam-5583	192	8	[	[	X
ejpam-5583	192	9	w	w	X
ejpam-5583	192	10	(	(	PUNCT
ejpam-5583	192	11	λt	λt	ADP
ejpam-5583	192	12	)	)	PUNCT
ejpam-5583	192	13	]	]	X
ejpam-5583	192	14	]	]	PUNCT
ejpam-5583	192	15	)	)	PUNCT
ejpam-5583	192	16	]	]	PUNCT
ejpam-5583	192	17	.	.	PUNCT
ejpam-5583	193	1	r.	r.	PROPN
ejpam-5583	193	2	saadeh	saadeh	PROPN
ejpam-5583	193	3	,	,	PUNCT
ejpam-5583	193	4	a.	a.	PROPN
ejpam-5583	193	5	al	al	PROPN
ejpam-5583	193	6	-	-	PUNCT
ejpam-5583	193	7	wadi	wadi	PROPN
ejpam-5583	193	8	,	,	PUNCT
ejpam-5583	193	9	a.	a.	NOUN
ejpam-5583	193	10	qazza	qazza	PROPN
ejpam-5583	193	11	/	/	SYM
ejpam-5583	193	12	eur	eur	PROPN
ejpam-5583	193	13	.	.	PUNCT
ejpam-5583	194	1	j.	j.	PROPN
ejpam-5583	194	2	pure	pure	PROPN
ejpam-5583	194	3	appl	appl	PROPN
ejpam-5583	194	4	.	.	PROPN
ejpam-5583	194	5	math	math	PROPN
ejpam-5583	194	6	,	,	PUNCT
ejpam-5583	194	7	18	18	NUM
ejpam-5583	194	8	(	(	PUNCT
ejpam-5583	194	9	1	1	NUM
ejpam-5583	194	10	)	)	PUNCT
ejpam-5583	194	11	(	(	PUNCT
ejpam-5583	194	12	2025	2025	NUM
ejpam-5583	194	13	)	)	PUNCT
ejpam-5583	194	14	,	,	PUNCT
ejpam-5583	194	15	5583	5583	NUM
ejpam-5583	194	16	8	8	NUM
ejpam-5583	194	17	of	of	ADP
ejpam-5583	194	18	16	16	NUM
ejpam-5583	194	19	step	step	NOUN
ejpam-5583	194	20	(	(	PUNCT
ejpam-5583	194	21	3	3	NUM
ejpam-5583	194	22	):	):	PUNCT
ejpam-5583	194	23	the	the	DET
ejpam-5583	194	24	nonlinear	nonlinear	ADJ
ejpam-5583	194	25	operator	operator	NOUN
ejpam-5583	194	26	can	can	AUX
ejpam-5583	194	27	be	be	AUX
ejpam-5583	194	28	decomposed	decompose	VERB
ejpam-5583	194	29	as	as	ADP
ejpam-5583	194	30	n	n	PROPN
ejpam-5583	194	31	[	[	X
ejpam-5583	194	32	w	w	X
ejpam-5583	194	33	(	(	PUNCT
ejpam-5583	194	34	λt	λt	ADP
ejpam-5583	194	35	)	)	PUNCT
ejpam-5583	194	36	]	]	PUNCT
ejpam-5583	195	1	=	=	SYM
ejpam-5583	195	2	n	n	NUM
ejpam-5583	195	3	[	[	X
ejpam-5583	195	4	w0	w0	PROPN
ejpam-5583	195	5	(	(	PUNCT
ejpam-5583	195	6	λt	λt	ADP
ejpam-5583	195	7	)	)	PUNCT
ejpam-5583	195	8	]	]	PUNCT
ejpam-5583	196	1	+	+	CCONJ
ejpam-5583	197	1	∞∑	∞∑	NUM
ejpam-5583	197	2	n=1	n=1	PROPN
ejpam-5583	197	3	(	(	PUNCT
ejpam-5583	197	4	n	n	X
ejpam-5583	197	5	[	[	PUNCT
ejpam-5583	197	6	k∑	k∑	PROPN
ejpam-5583	197	7	i=0	i=0	PROPN
ejpam-5583	197	8	wi	wi	PROPN
ejpam-5583	197	9	(	(	PUNCT
ejpam-5583	197	10	λt	λt	PROPN
ejpam-5583	197	11	)	)	PUNCT
ejpam-5583	197	12	]	]	PUNCT
ejpam-5583	198	1	−n	−n	INTJ
ejpam-5583	198	2	[	[	PUNCT
ejpam-5583	198	3	k−1∑	k−1∑	PROPN
ejpam-5583	198	4	i=0	i=0	PROPN
ejpam-5583	198	5	wi	wi	PROPN
ejpam-5583	198	6	(	(	PUNCT
ejpam-5583	198	7	λt	λt	PROPN
ejpam-5583	198	8	)	)	PUNCT
ejpam-5583	198	9	]	]	PUNCT
ejpam-5583	198	10	)	)	PUNCT
ejpam-5583	198	11	.	.	PUNCT
ejpam-5583	199	1	thus	thus	ADV
ejpam-5583	199	2	,	,	PUNCT
ejpam-5583	199	3	w	w	PROPN
ejpam-5583	199	4	(	(	PUNCT
ejpam-5583	199	5	t	t	NOUN
ejpam-5583	199	6	)	)	PUNCT
ejpam-5583	199	7	=	=	NOUN
ejpam-5583	199	8	s−1	s−1	NOUN
ejpam-5583	199	9	[	[	PUNCT
ejpam-5583	199	10	vα	vα	X
ejpam-5583	199	11	(	(	PUNCT
ejpam-5583	199	12	a	a	DET
ejpam-5583	199	13	vα+1	vα+1	NOUN
ejpam-5583	199	14	+	+	CCONJ
ejpam-5583	199	15	s	s	PART
ejpam-5583	200	1	[	[	X
ejpam-5583	200	2	q	q	X
ejpam-5583	200	3	(	(	PUNCT
ejpam-5583	200	4	t	t	PROPN
ejpam-5583	200	5	)	)	PUNCT
ejpam-5583	200	6	]	]	PUNCT
ejpam-5583	201	1	−	−	PROPN
ejpam-5583	201	2	s	s	X
ejpam-5583	202	1	[	[	X
ejpam-5583	202	2	l	l	X
ejpam-5583	203	1	[	[	X
ejpam-5583	203	2	w	w	X
ejpam-5583	203	3	(	(	PUNCT
ejpam-5583	203	4	t	t	PROPN
ejpam-5583	203	5	)	)	PUNCT
ejpam-5583	203	6	]	]	X
ejpam-5583	203	7	]	]	PUNCT
ejpam-5583	203	8	)	)	PUNCT
ejpam-5583	203	9	]	]	PUNCT
ejpam-5583	204	1	−	−	PROPN
ejpam-5583	204	2	s−1	s−1	PROPN
ejpam-5583	204	3	[	[	PUNCT
ejpam-5583	204	4	vα	vα	X
ejpam-5583	204	5	(	(	PUNCT
ejpam-5583	204	6	s	s	X
ejpam-5583	204	7	[	[	PUNCT
ejpam-5583	204	8	n	n	CCONJ
ejpam-5583	204	9	[	[	X
ejpam-5583	204	10	w0	w0	PROPN
ejpam-5583	204	11	(	(	PUNCT
ejpam-5583	204	12	λt	λt	ADP
ejpam-5583	204	13	)	)	PUNCT
ejpam-5583	204	14	]	]	PUNCT
ejpam-5583	205	1	+	+	CCONJ
ejpam-5583	205	2	∞∑	∞∑	NUM
ejpam-5583	205	3	n=1	n=1	PROPN
ejpam-5583	205	4	[	[	PUNCT
ejpam-5583	205	5	n	n	X
ejpam-5583	205	6	[	[	PUNCT
ejpam-5583	205	7	k∑	k∑	PROPN
ejpam-5583	205	8	i=0	i=0	PROPN
ejpam-5583	205	9	wi	wi	PROPN
ejpam-5583	205	10	(	(	PUNCT
ejpam-5583	205	11	λt	λt	PROPN
ejpam-5583	205	12	)	)	PUNCT
ejpam-5583	205	13	]	]	PUNCT
ejpam-5583	206	1	−n	−n	INTJ
ejpam-5583	206	2	[	[	PUNCT
ejpam-5583	206	3	k−1∑	k−1∑	PROPN
ejpam-5583	206	4	i=0	i=0	PROPN
ejpam-5583	206	5	wi	wi	PROPN
ejpam-5583	206	6	(	(	PUNCT
ejpam-5583	206	7	λt	λt	ADP
ejpam-5583	206	8	)	)	PUNCT
ejpam-5583	206	9	]	]	PUNCT
ejpam-5583	206	10	]	]	X
ejpam-5583	206	11	]	]	X
ejpam-5583	206	12	)	)	PUNCT
ejpam-5583	206	13	]	]	PUNCT
ejpam-5583	206	14	.	.	PUNCT
ejpam-5583	207	1	step	step	NOUN
ejpam-5583	207	2	(	(	PUNCT
ejpam-5583	207	3	4	4	NUM
ejpam-5583	207	4	):	):	PUNCT
ejpam-5583	207	5	find	find	VERB
ejpam-5583	207	6	the	the	DET
ejpam-5583	207	7	general	general	ADJ
ejpam-5583	207	8	form	form	NOUN
ejpam-5583	207	9	of	of	ADP
ejpam-5583	207	10	the	the	DET
ejpam-5583	207	11	solution	solution	NOUN
ejpam-5583	207	12	as	as	SCONJ
ejpam-5583	207	13	follows	follow	VERB
ejpam-5583	207	14	,	,	PUNCT
ejpam-5583	208	1	∞∑	∞∑	PROPN
ejpam-5583	208	2	i=0	i=0	PROPN
ejpam-5583	208	3	wi	wi	PROPN
ejpam-5583	208	4	(	(	PUNCT
ejpam-5583	208	5	t	t	PROPN
ejpam-5583	208	6	)	)	PUNCT
ejpam-5583	208	7	=	=	NOUN
ejpam-5583	208	8	s−1	s−1	NOUN
ejpam-5583	208	9	[	[	PUNCT
ejpam-5583	208	10	vα	vα	X
ejpam-5583	208	11	(	(	PUNCT
ejpam-5583	208	12	a	a	DET
ejpam-5583	208	13	vα+1	vα+1	NOUN
ejpam-5583	208	14	+	+	CCONJ
ejpam-5583	208	15	s	s	PART
ejpam-5583	208	16	[	[	X
ejpam-5583	208	17	q	q	X
ejpam-5583	208	18	(	(	PUNCT
ejpam-5583	208	19	t	t	PROPN
ejpam-5583	208	20	)	)	PUNCT
ejpam-5583	208	21	]	]	PUNCT
ejpam-5583	209	1	−	−	PROPN
ejpam-5583	209	2	s	s	X
ejpam-5583	209	3	[	[	X
ejpam-5583	209	4	l	l	X
ejpam-5583	209	5	[	[	X
ejpam-5583	209	6	w0	w0	PROPN
ejpam-5583	209	7	(	(	PUNCT
ejpam-5583	209	8	t	t	PROPN
ejpam-5583	209	9	)	)	PUNCT
ejpam-5583	209	10	]	]	X
ejpam-5583	209	11	]	]	PUNCT
ejpam-5583	209	12	)	)	PUNCT
ejpam-5583	209	13	]	]	PUNCT
ejpam-5583	209	14	−	−	PUNCT
ejpam-5583	210	1	s−1	s−1	PROPN
ejpam-5583	210	2	[	[	X
ejpam-5583	210	3	vα	vα	X
ejpam-5583	210	4	(	(	PUNCT
ejpam-5583	210	5	s	s	X
ejpam-5583	210	6	[	[	X
ejpam-5583	210	7	n	n	X
ejpam-5583	210	8	[	[	X
ejpam-5583	210	9	w0	w0	PROPN
ejpam-5583	210	10	(	(	PUNCT
ejpam-5583	210	11	λt	λt	ADP
ejpam-5583	210	12	)	)	PUNCT
ejpam-5583	210	13	]	]	X
ejpam-5583	210	14	]	]	PUNCT
ejpam-5583	210	15	)	)	PUNCT
ejpam-5583	210	16	]	]	PUNCT
ejpam-5583	211	1	−	−	PROPN
ejpam-5583	211	2	s−1	s−1	PROPN
ejpam-5583	211	3	[	[	PUNCT
ejpam-5583	211	4	vαs	vαs	NOUN
ejpam-5583	211	5	[	[	PUNCT
ejpam-5583	211	6	∞∑	∞∑	NUM
ejpam-5583	211	7	k=1	k=1	X
ejpam-5583	211	8	[	[	PUNCT
ejpam-5583	211	9	n	n	X
ejpam-5583	211	10	[	[	PUNCT
ejpam-5583	211	11	k∑	k∑	PROPN
ejpam-5583	211	12	i=0	i=0	PROPN
ejpam-5583	211	13	wi	wi	PROPN
ejpam-5583	211	14	(	(	PUNCT
ejpam-5583	211	15	λt	λt	PROPN
ejpam-5583	211	16	)	)	PUNCT
ejpam-5583	211	17	]	]	PUNCT
ejpam-5583	212	1	−n	−n	INTJ
ejpam-5583	212	2	[	[	PUNCT
ejpam-5583	212	3	k−1∑	k−1∑	PROPN
ejpam-5583	212	4	i=0	i=0	PROPN
ejpam-5583	212	5	wi	wi	PROPN
ejpam-5583	212	6	(	(	PUNCT
ejpam-5583	212	7	λt	λt	ADP
ejpam-5583	212	8	)	)	PUNCT
ejpam-5583	212	9	]	]	PUNCT
ejpam-5583	212	10	]	]	X
ejpam-5583	212	11	]	]	PUNCT
ejpam-5583	212	12	.	.	PUNCT
ejpam-5583	213	1	w0	w0	PROPN
ejpam-5583	213	2	(	(	PUNCT
ejpam-5583	213	3	t	t	PROPN
ejpam-5583	213	4	)	)	PUNCT
ejpam-5583	213	5	=	=	PUNCT
ejpam-5583	214	1	s−1	s−1	PROPN
ejpam-5583	214	2	[	[	PUNCT
ejpam-5583	214	3	vα	vα	X
ejpam-5583	214	4	(	(	PUNCT
ejpam-5583	214	5	a	a	DET
ejpam-5583	214	6	vα+1	vα+1	NOUN
ejpam-5583	214	7	+	+	CCONJ
ejpam-5583	214	8	s	s	PART
ejpam-5583	215	1	[	[	X
ejpam-5583	215	2	q	q	X
ejpam-5583	215	3	(	(	PUNCT
ejpam-5583	215	4	t	t	PROPN
ejpam-5583	215	5	)	)	PUNCT
ejpam-5583	215	6	]	]	PUNCT
ejpam-5583	216	1	−	−	PROPN
ejpam-5583	216	2	s	s	X
ejpam-5583	216	3	[	[	X
ejpam-5583	216	4	l	l	X
ejpam-5583	216	5	[	[	X
ejpam-5583	216	6	w0	w0	PROPN
ejpam-5583	216	7	(	(	PUNCT
ejpam-5583	216	8	t	t	PROPN
ejpam-5583	216	9	)	)	PUNCT
ejpam-5583	216	10	]	]	X
ejpam-5583	216	11	]	]	PUNCT
ejpam-5583	216	12	)	)	PUNCT
ejpam-5583	216	13	]	]	PUNCT
ejpam-5583	216	14	,	,	PUNCT
ejpam-5583	216	15	w1(t	w1(t	PROPN
ejpam-5583	216	16	)	)	PUNCT
ejpam-5583	216	17	=	=	PUNCT
ejpam-5583	217	1	−s−1	−s−1	NUM
ejpam-5583	217	2	[	[	X
ejpam-5583	217	3	vα	vα	X
ejpam-5583	217	4	(	(	PUNCT
ejpam-5583	217	5	s	s	X
ejpam-5583	217	6	[	[	X
ejpam-5583	217	7	n	n	X
ejpam-5583	217	8	[	[	X
ejpam-5583	217	9	w0	w0	PROPN
ejpam-5583	217	10	(	(	PUNCT
ejpam-5583	217	11	λt	λt	ADP
ejpam-5583	217	12	)	)	PUNCT
ejpam-5583	217	13	]	]	X
ejpam-5583	217	14	]	]	PUNCT
ejpam-5583	217	15	)	)	PUNCT
ejpam-5583	217	16	]	]	PUNCT
ejpam-5583	217	17	,	,	PUNCT
ejpam-5583	217	18	w	w	PROPN
ejpam-5583	217	19	(	(	PUNCT
ejpam-5583	217	20	t	t	PROPN
ejpam-5583	217	21	)	)	PUNCT
ejpam-5583	217	22	=	=	PUNCT
ejpam-5583	218	1	−s−1	−s−1	NUM
ejpam-5583	218	2	[	[	PUNCT
ejpam-5583	218	3	vαs	vαs	NOUN
ejpam-5583	218	4	[	[	PUNCT
ejpam-5583	218	5	∞∑	∞∑	NUM
ejpam-5583	218	6	k=1	k=1	X
ejpam-5583	219	1	[	[	PUNCT
ejpam-5583	219	2	n	n	X
ejpam-5583	219	3	[	[	PUNCT
ejpam-5583	219	4	k∑	k∑	PROPN
ejpam-5583	219	5	i=0	i=0	PROPN
ejpam-5583	219	6	wi	wi	PROPN
ejpam-5583	219	7	(	(	PUNCT
ejpam-5583	219	8	λt	λt	PROPN
ejpam-5583	219	9	)	)	PUNCT
ejpam-5583	219	10	]	]	PUNCT
ejpam-5583	220	1	−n	−n	INTJ
ejpam-5583	220	2	[	[	PUNCT
ejpam-5583	220	3	k−1∑	k−1∑	PROPN
ejpam-5583	220	4	i=0	i=0	PROPN
ejpam-5583	220	5	wi	wi	PROPN
ejpam-5583	220	6	(	(	PUNCT
ejpam-5583	220	7	λt	λt	ADP
ejpam-5583	220	8	)	)	PUNCT
ejpam-5583	220	9	]	]	PUNCT
ejpam-5583	220	10	]	]	X
ejpam-5583	220	11	]	]	X
ejpam-5583	220	12	,	,	PUNCT
ejpam-5583	220	13	where	where	SCONJ
ejpam-5583	220	14	n	n	NOUN
ejpam-5583	220	15	=	=	SYM
ejpam-5583	220	16	1	1	NUM
ejpam-5583	220	17	,	,	PUNCT
ejpam-5583	220	18	2	2	NUM
ejpam-5583	220	19	,	,	PUNCT
ejpam-5583	220	20	3	3	NUM
ejpam-5583	220	21	,	,	PUNCT
ejpam-5583	220	22	·	·	PUNCT
ejpam-5583	220	23	·	·	PUNCT
ejpam-5583	220	24	·	·	PUNCT
ejpam-5583	220	25	.	.	PUNCT
ejpam-5583	221	1	6	6	X
ejpam-5583	221	2	.	.	X
ejpam-5583	221	3	illustrative	illustrative	ADJ
ejpam-5583	221	4	examples	example	NOUN
ejpam-5583	221	5	(	(	PUNCT
ejpam-5583	221	6	fractional	fractional	ADJ
ejpam-5583	221	7	case	case	NOUN
ejpam-5583	221	8	)	)	PUNCT
ejpam-5583	221	9	example	example	NOUN
ejpam-5583	222	1	1	1	NUM
ejpam-5583	222	2	.	.	X
ejpam-5583	222	3	consider	consider	VERB
ejpam-5583	222	4	the	the	DET
ejpam-5583	222	5	following	follow	VERB
ejpam-5583	222	6	nonlinear	nonlinear	ADJ
ejpam-5583	222	7	equation	equation	NOUN
ejpam-5583	222	8	dde	dde	PROPN
ejpam-5583	222	9	:	:	PUNCT
ejpam-5583	222	10	dαw	dαw	NOUN
ejpam-5583	222	11	(	(	PUNCT
ejpam-5583	222	12	t	t	NOUN
ejpam-5583	222	13	)	)	PUNCT
ejpam-5583	222	14	=	=	SYM
ejpam-5583	222	15	2w2	2w2	NUM
ejpam-5583	222	16	(	(	PUNCT
ejpam-5583	222	17	t	t	PROPN
ejpam-5583	222	18	2	2	NUM
ejpam-5583	222	19	)	)	PUNCT
ejpam-5583	222	20	,	,	PUNCT
ejpam-5583	222	21	(	(	PUNCT
ejpam-5583	222	22	20	20	NUM
ejpam-5583	222	23	)	)	PUNCT
ejpam-5583	222	24	with	with	ADP
ejpam-5583	222	25	the	the	DET
ejpam-5583	222	26	initial	initial	ADJ
ejpam-5583	222	27	condition	condition	NOUN
ejpam-5583	222	28	w	w	ADP
ejpam-5583	222	29	(	(	PUNCT
ejpam-5583	222	30	0	0	NUM
ejpam-5583	222	31	)	)	PUNCT
ejpam-5583	222	32	=	=	SYM
ejpam-5583	222	33	1	1	NUM
ejpam-5583	222	34	,	,	PUNCT
ejpam-5583	222	35	and	and	CCONJ
ejpam-5583	222	36	0	0	NUM
ejpam-5583	222	37	<	<	X
ejpam-5583	222	38	α	α	X
ejpam-5583	222	39	≤	≤	NUM
ejpam-5583	222	40	1	1	NUM
ejpam-5583	222	41	.	.	PUNCT
ejpam-5583	223	1	(	(	PUNCT
ejpam-5583	223	2	21	21	NUM
ejpam-5583	223	3	)	)	PUNCT
ejpam-5583	223	4	solution	solution	NOUN
ejpam-5583	223	5	.	.	PUNCT
ejpam-5583	224	1	taking	take	VERB
ejpam-5583	224	2	swt	swt	PROPN
ejpam-5583	224	3	to	to	ADP
ejpam-5583	224	4	both	both	DET
ejpam-5583	224	5	sides	side	NOUN
ejpam-5583	224	6	of	of	ADP
ejpam-5583	224	7	eq	eq	NOUN
ejpam-5583	224	8	(	(	PUNCT
ejpam-5583	224	9	20	20	NUM
ejpam-5583	224	10	)	)	PUNCT
ejpam-5583	224	11	,	,	PUNCT
ejpam-5583	224	12	we	we	PRON
ejpam-5583	224	13	get	get	VERB
ejpam-5583	224	14	s	s	PRON
ejpam-5583	225	1	[	[	X
ejpam-5583	225	2	dαw	dαw	NOUN
ejpam-5583	225	3	(	(	PUNCT
ejpam-5583	225	4	t	t	PROPN
ejpam-5583	225	5	)	)	PUNCT
ejpam-5583	225	6	]	]	PUNCT
ejpam-5583	226	1	=	=	SYM
ejpam-5583	226	2	s	s	X
ejpam-5583	226	3	[	[	PUNCT
ejpam-5583	226	4	2w2	2w2	NUM
ejpam-5583	226	5	(	(	PUNCT
ejpam-5583	226	6	t	t	PROPN
ejpam-5583	226	7	2	2	NUM
ejpam-5583	226	8	)	)	PUNCT
ejpam-5583	226	9	]	]	PUNCT
ejpam-5583	226	10	.	.	PUNCT
ejpam-5583	227	1	(	(	PUNCT
ejpam-5583	227	2	22	22	X
ejpam-5583	227	3	)	)	PUNCT
ejpam-5583	227	4	r.	r.	PROPN
ejpam-5583	227	5	saadeh	saadeh	PROPN
ejpam-5583	227	6	,	,	PUNCT
ejpam-5583	227	7	a.	a.	PROPN
ejpam-5583	227	8	al	al	PROPN
ejpam-5583	227	9	-	-	PUNCT
ejpam-5583	227	10	wadi	wadi	PROPN
ejpam-5583	227	11	,	,	PUNCT
ejpam-5583	227	12	a.	a.	NOUN
ejpam-5583	227	13	qazza	qazza	PROPN
ejpam-5583	227	14	/	/	SYM
ejpam-5583	227	15	eur	eur	PROPN
ejpam-5583	227	16	.	.	PUNCT
ejpam-5583	228	1	j.	j.	PROPN
ejpam-5583	228	2	pure	pure	PROPN
ejpam-5583	228	3	appl	appl	PROPN
ejpam-5583	228	4	.	.	PROPN
ejpam-5583	228	5	math	math	PROPN
ejpam-5583	228	6	,	,	PUNCT
ejpam-5583	228	7	18	18	NUM
ejpam-5583	228	8	(	(	PUNCT
ejpam-5583	228	9	1	1	NUM
ejpam-5583	228	10	)	)	PUNCT
ejpam-5583	228	11	(	(	PUNCT
ejpam-5583	228	12	2025	2025	NUM
ejpam-5583	228	13	)	)	PUNCT
ejpam-5583	228	14	,	,	PUNCT
ejpam-5583	228	15	5583	5583	NUM
ejpam-5583	228	16	9	9	NUM
ejpam-5583	228	17	of	of	ADP
ejpam-5583	228	18	16	16	NUM
ejpam-5583	228	19	by	by	ADP
ejpam-5583	228	20	running	run	VERB
ejpam-5583	228	21	swt	swt	PROPN
ejpam-5583	228	22	on	on	ADP
ejpam-5583	228	23	both	both	DET
ejpam-5583	228	24	sides	side	NOUN
ejpam-5583	228	25	of	of	ADP
ejpam-5583	228	26	eq	eq	NOUN
ejpam-5583	228	27	(	(	PUNCT
ejpam-5583	228	28	22	22	NUM
ejpam-5583	228	29	)	)	PUNCT
ejpam-5583	228	30	,	,	PUNCT
ejpam-5583	228	31	and	and	CCONJ
ejpam-5583	228	32	substituting	substitute	VERB
ejpam-5583	228	33	the	the	DET
ejpam-5583	228	34	initial	initial	ADJ
ejpam-5583	228	35	condition	condition	NOUN
ejpam-5583	228	36	eq	eq	ADP
ejpam-5583	228	37	(	(	PUNCT
ejpam-5583	228	38	21	21	NUM
ejpam-5583	228	39	)	)	PUNCT
ejpam-5583	228	40	,	,	PUNCT
ejpam-5583	228	41	we	we	PRON
ejpam-5583	228	42	get	get	VERB
ejpam-5583	228	43	r(v	r(v	PROPN
ejpam-5583	228	44	)	)	PUNCT
ejpam-5583	229	1	vα	vα	ADP
ejpam-5583	229	2	−	−	PROPN
ejpam-5583	229	3	(	(	PUNCT
ejpam-5583	229	4	1	1	NUM
ejpam-5583	229	5	v	v	NOUN
ejpam-5583	229	6	)	)	PUNCT
ejpam-5583	229	7	α+1	α+1	NUM
ejpam-5583	229	8	w0	w0	PROPN
ejpam-5583	229	9	(	(	PUNCT
ejpam-5583	229	10	t	t	PROPN
ejpam-5583	229	11	)	)	PUNCT
ejpam-5583	230	1	=	=	SYM
ejpam-5583	230	2	s	s	X
ejpam-5583	230	3	[	[	PUNCT
ejpam-5583	230	4	2w2	2w2	NUM
ejpam-5583	230	5	(	(	PUNCT
ejpam-5583	230	6	t	t	PROPN
ejpam-5583	230	7	2	2	NUM
ejpam-5583	230	8	)	)	PUNCT
ejpam-5583	230	9	]	]	PUNCT
ejpam-5583	230	10	,	,	PUNCT
ejpam-5583	230	11	which	which	PRON
ejpam-5583	230	12	implies	imply	VERB
ejpam-5583	230	13	r	r	NOUN
ejpam-5583	230	14	(	(	PUNCT
ejpam-5583	230	15	v	v	NOUN
ejpam-5583	230	16	)	)	PUNCT
ejpam-5583	230	17	=	=	SYM
ejpam-5583	230	18	1	1	NUM
ejpam-5583	230	19	v	v	ADP
ejpam-5583	230	20	−	−	PROPN
ejpam-5583	230	21	vαs	vαs	NOUN
ejpam-5583	230	22	[	[	PUNCT
ejpam-5583	230	23	2w2	2w2	NUM
ejpam-5583	230	24	(	(	PUNCT
ejpam-5583	230	25	t	t	PROPN
ejpam-5583	230	26	2	2	NUM
ejpam-5583	230	27	)	)	PUNCT
ejpam-5583	230	28	]	]	PUNCT
ejpam-5583	230	29	.	.	PUNCT
ejpam-5583	231	1	(	(	PUNCT
ejpam-5583	231	2	23	23	NUM
ejpam-5583	231	3	)	)	PUNCT
ejpam-5583	231	4	by	by	ADP
ejpam-5583	231	5	taking	take	VERB
ejpam-5583	231	6	inverse	inverse	NOUN
ejpam-5583	231	7	swt	swt	PROPN
ejpam-5583	231	8	on	on	ADP
ejpam-5583	231	9	both	both	DET
ejpam-5583	231	10	sides	side	NOUN
ejpam-5583	231	11	of	of	ADP
ejpam-5583	231	12	eq	eq	NOUN
ejpam-5583	231	13	(	(	PUNCT
ejpam-5583	231	14	23	23	NUM
ejpam-5583	231	15	)	)	PUNCT
ejpam-5583	231	16	,	,	PUNCT
ejpam-5583	231	17	we	we	PRON
ejpam-5583	231	18	obtain	obtain	VERB
ejpam-5583	231	19	w	w	PROPN
ejpam-5583	231	20	(	(	PUNCT
ejpam-5583	231	21	t	t	PROPN
ejpam-5583	231	22	)	)	PUNCT
ejpam-5583	231	23	=	=	SYM
ejpam-5583	232	1	1	1	NUM
ejpam-5583	232	2	−	−	NOUN
ejpam-5583	232	3	s−1	s−1	PROPN
ejpam-5583	232	4	[	[	PUNCT
ejpam-5583	232	5	vαs	vαs	NOUN
ejpam-5583	232	6	[	[	PUNCT
ejpam-5583	232	7	2	2	NUM
ejpam-5583	232	8	w2	w2	NOUN
ejpam-5583	232	9	(	(	PUNCT
ejpam-5583	232	10	t	t	PROPN
ejpam-5583	232	11	2	2	NUM
ejpam-5583	232	12	)	)	PUNCT
ejpam-5583	232	13	]	]	PUNCT
ejpam-5583	232	14	]	]	PUNCT
ejpam-5583	232	15	.	.	PUNCT
ejpam-5583	233	1	(	(	PUNCT
ejpam-5583	233	2	24	24	NUM
ejpam-5583	233	3	)	)	PUNCT
ejpam-5583	233	4	thus	thus	ADV
ejpam-5583	233	5	,	,	PUNCT
ejpam-5583	233	6	w0	w0	PROPN
ejpam-5583	233	7	(	(	PUNCT
ejpam-5583	233	8	t	t	PROPN
ejpam-5583	233	9	)	)	PUNCT
ejpam-5583	233	10	=	=	SYM
ejpam-5583	233	11	1	1	NUM
ejpam-5583	233	12	and	and	CCONJ
ejpam-5583	233	13	w0	w0	PROPN
ejpam-5583	233	14	(	(	PUNCT
ejpam-5583	233	15	t	t	PROPN
ejpam-5583	233	16	2	2	NUM
ejpam-5583	233	17	)	)	PUNCT
ejpam-5583	233	18	=	=	SYM
ejpam-5583	234	1	1	1	X
ejpam-5583	234	2	.	.	PUNCT
ejpam-5583	234	3	to	to	PART
ejpam-5583	234	4	find	find	VERB
ejpam-5583	234	5	w1	w1	NOUN
ejpam-5583	234	6	(	(	PUNCT
ejpam-5583	234	7	t	t	PROPN
ejpam-5583	234	8	)	)	PUNCT
ejpam-5583	234	9	,	,	PUNCT
ejpam-5583	234	10	we	we	PRON
ejpam-5583	234	11	compute	compute	VERB
ejpam-5583	234	12	w1	w1	NOUN
ejpam-5583	234	13	(	(	PUNCT
ejpam-5583	234	14	t	t	PROPN
ejpam-5583	234	15	)	)	PUNCT
ejpam-5583	234	16	=	=	SYM
ejpam-5583	234	17	n	n	PROPN
ejpam-5583	234	18	[	[	PUNCT
ejpam-5583	234	19	w0	w0	PROPN
ejpam-5583	234	20	(	(	PUNCT
ejpam-5583	234	21	t	t	PROPN
ejpam-5583	234	22	2	2	NUM
ejpam-5583	234	23	)	)	PUNCT
ejpam-5583	234	24	]	]	PUNCT
ejpam-5583	235	1	=	=	PUNCT
ejpam-5583	235	2	−s−1	−s−1	NUM
ejpam-5583	235	3	[	[	PUNCT
ejpam-5583	235	4	vαs	vαs	X
ejpam-5583	235	5	[	[	PUNCT
ejpam-5583	235	6	2	2	NUM
ejpam-5583	235	7	w2	w2	NOUN
ejpam-5583	235	8	0	0	NUM
ejpam-5583	235	9	(	(	PUNCT
ejpam-5583	235	10	t	t	PROPN
ejpam-5583	235	11	2	2	NUM
ejpam-5583	235	12	)	)	PUNCT
ejpam-5583	235	13	]	]	PUNCT
ejpam-5583	235	14	]	]	PUNCT
ejpam-5583	236	1	=	=	PUNCT
ejpam-5583	236	2	−s−1	−s−1	NUM
ejpam-5583	236	3	[	[	PUNCT
ejpam-5583	236	4	vαs	vαs	NOUN
ejpam-5583	236	5	[	[	PUNCT
ejpam-5583	236	6	2	2	NUM
ejpam-5583	236	7	(	(	PUNCT
ejpam-5583	236	8	1)2	1)2	NUM
ejpam-5583	236	9	]	]	X
ejpam-5583	236	10	]	]	PUNCT
ejpam-5583	236	11	=	=	PUNCT
ejpam-5583	236	12	−s−1	−s−1	NUM
ejpam-5583	236	13	[	[	PUNCT
ejpam-5583	236	14	vαs	vαs	NOUN
ejpam-5583	236	15	[	[	X
ejpam-5583	236	16	2	2	NUM
ejpam-5583	236	17	]	]	X
ejpam-5583	236	18	]	]	PUNCT
ejpam-5583	236	19	=	=	PUNCT
ejpam-5583	236	20	−s−1	−s−1	NUM
ejpam-5583	236	21	[	[	PUNCT
ejpam-5583	236	22	vα	vα	X
ejpam-5583	236	23	(	(	PUNCT
ejpam-5583	236	24	2	2	NUM
ejpam-5583	236	25	v	v	NOUN
ejpam-5583	236	26	)	)	PUNCT
ejpam-5583	236	27	]	]	PUNCT
ejpam-5583	236	28	=	=	PUNCT
ejpam-5583	237	1	−s−1	−s−1	NUM
ejpam-5583	237	2	[	[	PUNCT
ejpam-5583	237	3	2vα	2vα	NOUN
ejpam-5583	237	4	v	v	NOUN
ejpam-5583	237	5	]	]	PUNCT
ejpam-5583	237	6	=	=	PUNCT
ejpam-5583	237	7	−	−	PROPN
ejpam-5583	237	8	2tα	2tα	ADJ
ejpam-5583	237	9	γ	γ	X
ejpam-5583	237	10	(	(	PUNCT
ejpam-5583	237	11	α	α	PROPN
ejpam-5583	237	12	+	+	NOUN
ejpam-5583	237	13	1	1	NUM
ejpam-5583	237	14	)	)	PUNCT
ejpam-5583	237	15	.	.	PUNCT
ejpam-5583	238	1	hence	hence	ADV
ejpam-5583	238	2	,	,	PUNCT
ejpam-5583	238	3	w1	w1	PROPN
ejpam-5583	238	4	(	(	PUNCT
ejpam-5583	238	5	t	t	PROPN
ejpam-5583	238	6	2	2	NUM
ejpam-5583	238	7	)	)	PUNCT
ejpam-5583	238	8	=	=	SYM
ejpam-5583	239	1	−	−	PROPN
ejpam-5583	239	2	2tα	2tα	NOUN
ejpam-5583	240	1	2αγ(1	2αγ(1	NUM
ejpam-5583	240	2	+	+	CCONJ
ejpam-5583	240	3	α	α	X
ejpam-5583	240	4	)	)	PUNCT
ejpam-5583	240	5	.	.	PUNCT
ejpam-5583	241	1	to	to	PART
ejpam-5583	241	2	find	find	VERB
ejpam-5583	241	3	w2	w2	NOUN
ejpam-5583	241	4	(	(	PUNCT
ejpam-5583	241	5	t	t	PROPN
ejpam-5583	241	6	)	)	PUNCT
ejpam-5583	241	7	,	,	PUNCT
ejpam-5583	241	8	we	we	PRON
ejpam-5583	241	9	compute	compute	VERB
ejpam-5583	241	10	w2	w2	NOUN
ejpam-5583	241	11	(	(	PUNCT
ejpam-5583	241	12	t	t	PROPN
ejpam-5583	241	13	)	)	PUNCT
ejpam-5583	241	14	=	=	SYM
ejpam-5583	242	1	n	n	PROPN
ejpam-5583	242	2	[	[	PUNCT
ejpam-5583	242	3	w0	w0	PROPN
ejpam-5583	242	4	(	(	PUNCT
ejpam-5583	242	5	t	t	PROPN
ejpam-5583	242	6	2	2	NUM
ejpam-5583	242	7	)	)	PUNCT
ejpam-5583	243	1	+	+	CCONJ
ejpam-5583	243	2	w1	w1	NOUN
ejpam-5583	243	3	(	(	PUNCT
ejpam-5583	243	4	t	t	PROPN
ejpam-5583	243	5	2	2	NUM
ejpam-5583	243	6	)	)	PUNCT
ejpam-5583	243	7	]	]	PUNCT
ejpam-5583	244	1	−n	−n	ADV
ejpam-5583	244	2	[	[	PUNCT
ejpam-5583	244	3	w0	w0	PROPN
ejpam-5583	244	4	(	(	PUNCT
ejpam-5583	244	5	t	t	PROPN
ejpam-5583	244	6	2	2	NUM
ejpam-5583	244	7	)	)	PUNCT
ejpam-5583	244	8	]	]	PUNCT
ejpam-5583	245	1	=	=	PUNCT
ejpam-5583	245	2	−s−1	−s−1	NUM
ejpam-5583	245	3	[	[	PUNCT
ejpam-5583	245	4	2	2	NUM
ejpam-5583	245	5	vαs	vαs	NOUN
ejpam-5583	245	6	[	[	PUNCT
ejpam-5583	245	7	22−2αt2α	22−2αt2α	NUM
ejpam-5583	245	8	γ(1	γ(1	ADJ
ejpam-5583	245	9	+	+	NUM
ejpam-5583	245	10	α)2	α)2	NOUN
ejpam-5583	245	11	−	−	NOUN
ejpam-5583	245	12	22−αtα	22−αtα	ADJ
ejpam-5583	245	13	γ	γ	X
ejpam-5583	245	14	(	(	PUNCT
ejpam-5583	245	15	α	α	PROPN
ejpam-5583	245	16	+	+	NOUN
ejpam-5583	245	17	1	1	NUM
ejpam-5583	245	18	)	)	PUNCT
ejpam-5583	245	19	]	]	PUNCT
ejpam-5583	245	20	]	]	X
ejpam-5583	245	21	=	=	PUNCT
ejpam-5583	246	1	−	−	PROPN
ejpam-5583	246	2	23−2αt3α	23−2αt3α	NUM
ejpam-5583	246	3	γ	γ	X
ejpam-5583	246	4	(	(	PUNCT
ejpam-5583	246	5	1	1	NUM
ejpam-5583	246	6	+	+	NUM
ejpam-5583	246	7	α)2	α)2	NOUN
ejpam-5583	246	8	+	+	CCONJ
ejpam-5583	246	9	23−αt2α	23−αt2α	NUM
ejpam-5583	246	10	γ	γ	NOUN
ejpam-5583	246	11	(	(	PUNCT
ejpam-5583	246	12	1	1	NUM
ejpam-5583	246	13	+	+	NUM
ejpam-5583	246	14	α	α	NOUN
ejpam-5583	246	15	)	)	PUNCT
ejpam-5583	246	16	.	.	PUNCT
ejpam-5583	247	1	hence	hence	ADV
ejpam-5583	247	2	,	,	PUNCT
ejpam-5583	247	3	w2	w2	NOUN
ejpam-5583	247	4	(	(	PUNCT
ejpam-5583	247	5	t	t	PROPN
ejpam-5583	247	6	2	2	NUM
ejpam-5583	247	7	)	)	PUNCT
ejpam-5583	247	8	=	=	PUNCT
ejpam-5583	248	1	−	−	PROPN
ejpam-5583	248	2	23−2αt3α	23−2αt3α	NUM
ejpam-5583	248	3	23αγ	23αγ	ADJ
ejpam-5583	248	4	(	(	PUNCT
ejpam-5583	248	5	1	1	NUM
ejpam-5583	248	6	+	+	NUM
ejpam-5583	248	7	α)2	α)2	NOUN
ejpam-5583	248	8	+	+	CCONJ
ejpam-5583	248	9	23−αt2α	23−αt2α	NUM
ejpam-5583	248	10	22αγ	22αγ	ADJ
ejpam-5583	248	11	(	(	PUNCT
ejpam-5583	248	12	1	1	NUM
ejpam-5583	248	13	+	+	NUM
ejpam-5583	248	14	α	α	NOUN
ejpam-5583	248	15	)	)	PUNCT
ejpam-5583	248	16	.	.	PUNCT
ejpam-5583	249	1	r.	r.	PROPN
ejpam-5583	249	2	saadeh	saadeh	PROPN
ejpam-5583	249	3	,	,	PUNCT
ejpam-5583	249	4	a.	a.	PROPN
ejpam-5583	249	5	al	al	PROPN
ejpam-5583	249	6	-	-	PUNCT
ejpam-5583	249	7	wadi	wadi	PROPN
ejpam-5583	249	8	,	,	PUNCT
ejpam-5583	249	9	a.	a.	NOUN
ejpam-5583	249	10	qazza	qazza	PROPN
ejpam-5583	249	11	/	/	SYM
ejpam-5583	249	12	eur	eur	PROPN
ejpam-5583	249	13	.	.	PUNCT
ejpam-5583	250	1	j.	j.	PROPN
ejpam-5583	250	2	pure	pure	PROPN
ejpam-5583	250	3	appl	appl	PROPN
ejpam-5583	250	4	.	.	PROPN
ejpam-5583	250	5	math	math	PROPN
ejpam-5583	250	6	,	,	PUNCT
ejpam-5583	250	7	18	18	NUM
ejpam-5583	250	8	(	(	PUNCT
ejpam-5583	250	9	1	1	NUM
ejpam-5583	250	10	)	)	PUNCT
ejpam-5583	250	11	(	(	PUNCT
ejpam-5583	250	12	2025	2025	NUM
ejpam-5583	250	13	)	)	PUNCT
ejpam-5583	250	14	,	,	PUNCT
ejpam-5583	250	15	5583	5583	NUM
ejpam-5583	250	16	10	10	NUM
ejpam-5583	250	17	of	of	ADP
ejpam-5583	250	18	16	16	NUM
ejpam-5583	250	19	to	to	PART
ejpam-5583	250	20	find	find	VERB
ejpam-5583	250	21	w3	w3	PROPN
ejpam-5583	250	22	(	(	PUNCT
ejpam-5583	250	23	t	t	PROPN
ejpam-5583	250	24	)	)	PUNCT
ejpam-5583	250	25	,	,	PUNCT
ejpam-5583	250	26	we	we	PRON
ejpam-5583	250	27	compute	compute	VERB
ejpam-5583	250	28	w3	w3	PROPN
ejpam-5583	250	29	(	(	PUNCT
ejpam-5583	250	30	t	t	PROPN
ejpam-5583	250	31	)	)	PUNCT
ejpam-5583	250	32	=	=	SYM
ejpam-5583	251	1	n	n	PROPN
ejpam-5583	251	2	[	[	PUNCT
ejpam-5583	251	3	w0	w0	PROPN
ejpam-5583	251	4	(	(	PUNCT
ejpam-5583	251	5	t	t	PROPN
ejpam-5583	251	6	2	2	NUM
ejpam-5583	251	7	)	)	PUNCT
ejpam-5583	252	1	+	+	CCONJ
ejpam-5583	252	2	w1	w1	NOUN
ejpam-5583	252	3	(	(	PUNCT
ejpam-5583	252	4	t	t	PROPN
ejpam-5583	252	5	2	2	NUM
ejpam-5583	252	6	)	)	PUNCT
ejpam-5583	252	7	+	+	NUM
ejpam-5583	252	8	w2	w2	NOUN
ejpam-5583	252	9	(	(	PUNCT
ejpam-5583	252	10	t	t	PROPN
ejpam-5583	252	11	2	2	NUM
ejpam-5583	252	12	)	)	PUNCT
ejpam-5583	252	13	]	]	PUNCT
ejpam-5583	253	1	−n	−n	ADV
ejpam-5583	253	2	[	[	PUNCT
ejpam-5583	253	3	w0	w0	PROPN
ejpam-5583	253	4	(	(	PUNCT
ejpam-5583	253	5	t	t	PROPN
ejpam-5583	253	6	2	2	NUM
ejpam-5583	253	7	)	)	PUNCT
ejpam-5583	254	1	+	+	CCONJ
ejpam-5583	254	2	w1	w1	NOUN
ejpam-5583	254	3	(	(	PUNCT
ejpam-5583	254	4	t	t	PROPN
ejpam-5583	254	5	2	2	NUM
ejpam-5583	254	6	)	)	PUNCT
ejpam-5583	254	7	]	]	PUNCT
ejpam-5583	255	1	=	=	PUNCT
ejpam-5583	255	2	−s−1	−s−1	NUM
ejpam-5583	255	3	[	[	PUNCT
ejpam-5583	255	4	vαs	vαs	NOUN
ejpam-5583	255	5	[	[	PUNCT
ejpam-5583	255	6	2	2	NUM
ejpam-5583	255	7	(	(	PUNCT
ejpam-5583	255	8	1	1	NUM
ejpam-5583	255	9	−	−	NOUN
ejpam-5583	255	10	2tα	2tα	ADJ
ejpam-5583	255	11	γ	γ	X
ejpam-5583	255	12	(	(	PUNCT
ejpam-5583	255	13	α	α	PROPN
ejpam-5583	255	14	+	+	NOUN
ejpam-5583	255	15	1	1	NUM
ejpam-5583	255	16	)	)	PUNCT
ejpam-5583	255	17	−	−	NOUN
ejpam-5583	255	18	23−2αt3α	23−2αt3α	NUM
ejpam-5583	255	19	23αγ	23αγ	ADJ
ejpam-5583	255	20	(	(	PUNCT
ejpam-5583	255	21	1	1	NUM
ejpam-5583	255	22	+	+	NUM
ejpam-5583	255	23	α)2	α)2	NOUN
ejpam-5583	255	24	+	+	CCONJ
ejpam-5583	255	25	23−αt2α	23−αt2α	NUM
ejpam-5583	255	26	22αγ	22αγ	ADJ
ejpam-5583	255	27	(	(	PUNCT
ejpam-5583	255	28	1	1	NUM
ejpam-5583	255	29	+	+	NUM
ejpam-5583	255	30	α	α	NOUN
ejpam-5583	255	31	)	)	PUNCT
ejpam-5583	255	32	)	)	PUNCT
ejpam-5583	255	33	2	2	NUM
ejpam-5583	255	34	−	−	NOUN
ejpam-5583	255	35	(	(	PUNCT
ejpam-5583	255	36	1	1	NUM
ejpam-5583	255	37	−	−	NUM
ejpam-5583	255	38	2tα	2tα	ADJ
ejpam-5583	255	39	γ	γ	X
ejpam-5583	255	40	(	(	PUNCT
ejpam-5583	255	41	α	α	PROPN
ejpam-5583	255	42	+	+	NOUN
ejpam-5583	255	43	1	1	NUM
ejpam-5583	255	44	)	)	PUNCT
ejpam-5583	255	45	)	)	PUNCT
ejpam-5583	255	46	2	2	X
ejpam-5583	256	1	]	]	PUNCT
ejpam-5583	256	2	]	]	X
ejpam-5583	256	3	=	=	PUNCT
ejpam-5583	256	4	−s−1	−s−1	NUM
ejpam-5583	256	5	[	[	PUNCT
ejpam-5583	256	6	vα	vα	INTJ
ejpam-5583	256	7	−	−	PROPN
ejpam-5583	256	8	4v−1	4v−1	NUM
ejpam-5583	257	1	+	+	PROPN
ejpam-5583	257	2	2α	2α	NOUN
ejpam-5583	257	3	γ	γ	X
ejpam-5583	257	4	(	(	PUNCT
ejpam-5583	257	5	α	α	PROPN
ejpam-5583	257	6	+	+	X
ejpam-5583	257	7	1)2	1)2	NUM
ejpam-5583	257	8	+	+	CCONJ
ejpam-5583	257	9	4v−1	4v−1	NUM
ejpam-5583	257	10	+	+	ADJ
ejpam-5583	257	11	3α	3α	NOUN
ejpam-5583	257	12	γ	γ	X
ejpam-5583	257	13	(	(	PUNCT
ejpam-5583	257	14	α	α	NOUN
ejpam-5583	257	15	+	+	X
ejpam-5583	257	16	1)2	1)2	NUM
ejpam-5583	257	17	γ	γ	NOUN
ejpam-5583	257	18	(	(	PUNCT
ejpam-5583	257	19	2α	2α	NOUN
ejpam-5583	257	20	+	+	CCONJ
ejpam-5583	257	21	1	1	NUM
ejpam-5583	257	22	)	)	PUNCT
ejpam-5583	257	23	+	+	CCONJ
ejpam-5583	257	24	25−3αv−1	25−3αv−1	NUM
ejpam-5583	257	25	+	+	ADJ
ejpam-5583	257	26	3α	3α	NOUN
ejpam-5583	257	27	γ	γ	X
ejpam-5583	257	28	(	(	PUNCT
ejpam-5583	257	29	α	α	PROPN
ejpam-5583	257	30	+	+	NOUN
ejpam-5583	257	31	1	1	X
ejpam-5583	257	32	)	)	PUNCT
ejpam-5583	257	33	γ	γ	NOUN
ejpam-5583	257	34	(	(	PUNCT
ejpam-5583	257	35	2α	2α	NOUN
ejpam-5583	257	36	+	+	CCONJ
ejpam-5583	257	37	1	1	NUM
ejpam-5583	257	38	)	)	PUNCT
ejpam-5583	257	39	−	−	ADP
ejpam-5583	258	1	25−8αv−1	25−8αv−1	NUM
ejpam-5583	258	2	+	+	ADJ
ejpam-5583	258	3	4α	4α	NOUN
ejpam-5583	258	4	γ	γ	X
ejpam-5583	258	5	(	(	PUNCT
ejpam-5583	258	6	α	α	PROPN
ejpam-5583	258	7	+	+	X
ejpam-5583	258	8	1)2	1)2	NUM
ejpam-5583	258	9	γ	γ	NOUN
ejpam-5583	258	10	(	(	PUNCT
ejpam-5583	258	11	3α	3α	NOUN
ejpam-5583	258	12	+	+	NOUN
ejpam-5583	258	13	1	1	NUM
ejpam-5583	258	14	)	)	PUNCT
ejpam-5583	258	15	−	−	ADP
ejpam-5583	259	1	26−3αv−1	26−3αv−1	NUM
ejpam-5583	259	2	+	+	ADJ
ejpam-5583	259	3	4α	4α	NOUN
ejpam-5583	259	4	γ	γ	X
ejpam-5583	259	5	(	(	PUNCT
ejpam-5583	259	6	α	α	PROPN
ejpam-5583	259	7	+	+	X
ejpam-5583	259	8	1)2	1)2	NUM
ejpam-5583	259	9	γ	γ	NOUN
ejpam-5583	259	10	(	(	PUNCT
ejpam-5583	259	11	3α	3α	NOUN
ejpam-5583	259	12	+	+	NOUN
ejpam-5583	259	13	1	1	NUM
ejpam-5583	259	14	)	)	PUNCT
ejpam-5583	259	15	+	+	CCONJ
ejpam-5583	260	1	26−8αv−1	26−8αv−1	NUM
ejpam-5583	260	2	+	+	ADJ
ejpam-5583	260	3	5α	5α	ADJ
ejpam-5583	260	4	γ	γ	X
ejpam-5583	260	5	(	(	PUNCT
ejpam-5583	260	6	α	α	PROPN
ejpam-5583	260	7	+	+	X
ejpam-5583	260	8	1)3	1)3	PROPN
ejpam-5583	260	9	γ	γ	X
ejpam-5583	260	10	(	(	PUNCT
ejpam-5583	260	11	4α	4α	NOUN
ejpam-5583	260	12	+	+	NOUN
ejpam-5583	260	13	1	1	X
ejpam-5583	260	14	)	)	PUNCT
ejpam-5583	260	15	+	+	CCONJ
ejpam-5583	260	16	27−6αv−1	27−6αv−1	NUM
ejpam-5583	260	17	+	+	ADJ
ejpam-5583	260	18	5α	5α	ADJ
ejpam-5583	260	19	γ	γ	X
ejpam-5583	260	20	(	(	PUNCT
ejpam-5583	260	21	α	α	NOUN
ejpam-5583	260	22	+	+	X
ejpam-5583	260	23	1)2	1)2	NUM
ejpam-5583	260	24	γ	γ	X
ejpam-5583	260	25	(	(	PUNCT
ejpam-5583	260	26	4α	4α	NOUN
ejpam-5583	260	27	+	+	CCONJ
ejpam-5583	260	28	1	1	X
ejpam-5583	260	29	)	)	PUNCT
ejpam-5583	260	30	−	−	NOUN
ejpam-5583	261	1	28−11αv−1	28−11αv−1	NUM
ejpam-5583	261	2	+	+	NOUN
ejpam-5583	261	3	6α	6α	ADJ
ejpam-5583	261	4	γ	γ	X
ejpam-5583	261	5	(	(	PUNCT
ejpam-5583	261	6	α	α	PROPN
ejpam-5583	261	7	+	+	X
ejpam-5583	261	8	1)3	1)3	PROPN
ejpam-5583	261	9	γ	γ	X
ejpam-5583	261	10	(	(	PUNCT
ejpam-5583	261	11	5α	5α	NOUN
ejpam-5583	261	12	+	+	CCONJ
ejpam-5583	261	13	1	1	X
ejpam-5583	261	14	)	)	PUNCT
ejpam-5583	261	15	+	+	CCONJ
ejpam-5583	261	16	27−16αv−1	27−16αv−1	NUM
ejpam-5583	261	17	+	+	ADJ
ejpam-5583	261	18	7α	7α	ADJ
ejpam-5583	261	19	γ	γ	X
ejpam-5583	261	20	(	(	PUNCT
ejpam-5583	261	21	α	α	PROPN
ejpam-5583	261	22	+	+	X
ejpam-5583	261	23	1)4	1)4	NUM
ejpam-5583	261	24	γ	γ	NOUN
ejpam-5583	261	25	(	(	PUNCT
ejpam-5583	261	26	6α	6α	NOUN
ejpam-5583	261	27	+	+	X
ejpam-5583	261	28	1	1	NUM
ejpam-5583	261	29	)	)	PUNCT
ejpam-5583	261	30	]	]	PUNCT
ejpam-5583	261	31	.	.	PUNCT
ejpam-5583	262	1	after	after	ADP
ejpam-5583	262	2	simple	simple	ADJ
ejpam-5583	262	3	calculations	calculation	NOUN
ejpam-5583	262	4	,	,	PUNCT
ejpam-5583	262	5	we	we	PRON
ejpam-5583	262	6	get	get	VERB
ejpam-5583	262	7	the	the	DET
ejpam-5583	262	8	value	value	NOUN
ejpam-5583	262	9	of	of	ADP
ejpam-5583	262	10	w3(t	w3(t	NOUN
ejpam-5583	262	11	)	)	PUNCT
ejpam-5583	262	12	as	as	ADP
ejpam-5583	262	13	w3	w3	PROPN
ejpam-5583	262	14	(	(	PUNCT
ejpam-5583	262	15	t	t	PROPN
ejpam-5583	262	16	)	)	PUNCT
ejpam-5583	263	1	≈	≈	PROPN
ejpam-5583	263	2	−	−	PROPN
ejpam-5583	263	3	t1+α	t1+α	PROPN
ejpam-5583	263	4	γ	γ	X
ejpam-5583	263	5	(	(	PUNCT
ejpam-5583	263	6	α	α	PROPN
ejpam-5583	263	7	+	+	NOUN
ejpam-5583	263	8	2	2	NUM
ejpam-5583	263	9	)	)	PUNCT
ejpam-5583	263	10	+	+	CCONJ
ejpam-5583	263	11	4t2α	4t2α	NUM
ejpam-5583	263	12	γ	γ	X
ejpam-5583	263	13	(	(	PUNCT
ejpam-5583	263	14	2α	2α	NOUN
ejpam-5583	263	15	+	+	CCONJ
ejpam-5583	263	16	1	1	X
ejpam-5583	263	17	)	)	PUNCT
ejpam-5583	263	18	γ	γ	X
ejpam-5583	263	19	(	(	PUNCT
ejpam-5583	263	20	α	α	NOUN
ejpam-5583	263	21	+	+	X
ejpam-5583	263	22	1)2	1)2	NUM
ejpam-5583	263	23	−	−	NOUN
ejpam-5583	263	24	4t3α	4t3α	NOUN
ejpam-5583	263	25	γ	γ	X
ejpam-5583	263	26	(	(	PUNCT
ejpam-5583	263	27	α	α	PROPN
ejpam-5583	263	28	+	+	X
ejpam-5583	263	29	1)2	1)2	NUM
ejpam-5583	263	30	γ	γ	NOUN
ejpam-5583	263	31	(	(	PUNCT
ejpam-5583	263	32	2α	2α	NOUN
ejpam-5583	263	33	+	+	CCONJ
ejpam-5583	263	34	1	1	X
ejpam-5583	263	35	)	)	PUNCT
ejpam-5583	263	36	γ	γ	NOUN
ejpam-5583	263	37	(	(	PUNCT
ejpam-5583	263	38	3α	3α	NOUN
ejpam-5583	263	39	+	+	NOUN
ejpam-5583	263	40	1	1	NUM
ejpam-5583	263	41	)	)	PUNCT
ejpam-5583	263	42	−	−	PROPN
ejpam-5583	263	43	25−3αt3α	25−3αt3α	NUM
ejpam-5583	263	44	γ	γ	X
ejpam-5583	263	45	(	(	PUNCT
ejpam-5583	263	46	α	α	PROPN
ejpam-5583	263	47	+	+	NOUN
ejpam-5583	263	48	1	1	X
ejpam-5583	263	49	)	)	PUNCT
ejpam-5583	263	50	γ	γ	NOUN
ejpam-5583	263	51	(	(	PUNCT
ejpam-5583	263	52	2α	2α	NOUN
ejpam-5583	263	53	+	+	CCONJ
ejpam-5583	263	54	1	1	X
ejpam-5583	263	55	)	)	PUNCT
ejpam-5583	263	56	γ	γ	NOUN
ejpam-5583	263	57	(	(	PUNCT
ejpam-5583	263	58	3α	3α	NOUN
ejpam-5583	263	59	+	+	NOUN
ejpam-5583	263	60	1	1	NUM
ejpam-5583	263	61	)	)	PUNCT
ejpam-5583	263	62	+	+	CCONJ
ejpam-5583	263	63	25−8αt4α	25−8αt4α	NUM
ejpam-5583	263	64	γ	γ	NOUN
ejpam-5583	263	65	(	(	PUNCT
ejpam-5583	263	66	α	α	NOUN
ejpam-5583	263	67	+	+	X
ejpam-5583	263	68	1)2	1)2	NUM
ejpam-5583	263	69	γ	γ	NOUN
ejpam-5583	263	70	(	(	PUNCT
ejpam-5583	263	71	3α	3α	NOUN
ejpam-5583	263	72	+	+	NOUN
ejpam-5583	263	73	1	1	X
ejpam-5583	263	74	)	)	PUNCT
ejpam-5583	263	75	γ	γ	X
ejpam-5583	263	76	(	(	PUNCT
ejpam-5583	263	77	4α	4α	NOUN
ejpam-5583	263	78	+	+	NOUN
ejpam-5583	263	79	1	1	X
ejpam-5583	263	80	)	)	PUNCT
ejpam-5583	263	81	+	+	CCONJ
ejpam-5583	263	82	26−3αt4α	26−3αt4α	NUM
ejpam-5583	263	83	γ	γ	X
ejpam-5583	263	84	(	(	PUNCT
ejpam-5583	263	85	α	α	PROPN
ejpam-5583	263	86	+	+	X
ejpam-5583	263	87	1)2	1)2	NUM
ejpam-5583	263	88	γ	γ	NOUN
ejpam-5583	263	89	(	(	PUNCT
ejpam-5583	263	90	3α	3α	NOUN
ejpam-5583	263	91	+	+	NOUN
ejpam-5583	263	92	1	1	X
ejpam-5583	263	93	)	)	PUNCT
ejpam-5583	263	94	γ	γ	X
ejpam-5583	263	95	(	(	PUNCT
ejpam-5583	263	96	4α	4α	NOUN
ejpam-5583	263	97	+	+	CCONJ
ejpam-5583	263	98	1	1	X
ejpam-5583	263	99	)	)	PUNCT
ejpam-5583	263	100	−	−	NOUN
ejpam-5583	263	101	26−8αt5α	26−8αt5α	NUM
ejpam-5583	263	102	γ	γ	X
ejpam-5583	263	103	(	(	PUNCT
ejpam-5583	263	104	α	α	PROPN
ejpam-5583	263	105	+	+	X
ejpam-5583	263	106	1)3	1)3	PROPN
ejpam-5583	263	107	γ	γ	X
ejpam-5583	263	108	(	(	PUNCT
ejpam-5583	263	109	4α	4α	NOUN
ejpam-5583	263	110	+	+	CCONJ
ejpam-5583	263	111	1	1	X
ejpam-5583	263	112	)	)	PUNCT
ejpam-5583	263	113	γ	γ	NOUN
ejpam-5583	263	114	(	(	PUNCT
ejpam-5583	263	115	5α	5α	NOUN
ejpam-5583	263	116	+	+	CCONJ
ejpam-5583	263	117	1	1	X
ejpam-5583	263	118	)	)	PUNCT
ejpam-5583	263	119	−	−	PROPN
ejpam-5583	263	120	27−6αt5α	27−6αt5α	NUM
ejpam-5583	263	121	γ	γ	X
ejpam-5583	263	122	(	(	PUNCT
ejpam-5583	263	123	α	α	NOUN
ejpam-5583	263	124	+	+	X
ejpam-5583	263	125	1)2	1)2	NUM
ejpam-5583	263	126	γ	γ	X
ejpam-5583	263	127	(	(	PUNCT
ejpam-5583	263	128	4α	4α	NOUN
ejpam-5583	263	129	+	+	CCONJ
ejpam-5583	263	130	1	1	X
ejpam-5583	263	131	)	)	PUNCT
ejpam-5583	263	132	γ	γ	NOUN
ejpam-5583	263	133	(	(	PUNCT
ejpam-5583	263	134	5α	5α	NOUN
ejpam-5583	263	135	+	+	CCONJ
ejpam-5583	263	136	1	1	NUM
ejpam-5583	263	137	)	)	PUNCT
ejpam-5583	263	138	+	+	NUM
ejpam-5583	263	139	28−11αt6α	28−11αt6α	NUM
ejpam-5583	263	140	γ	γ	X
ejpam-5583	263	141	(	(	PUNCT
ejpam-5583	263	142	α	α	PROPN
ejpam-5583	263	143	+	+	X
ejpam-5583	263	144	1)3	1)3	PROPN
ejpam-5583	263	145	γ	γ	X
ejpam-5583	263	146	(	(	PUNCT
ejpam-5583	263	147	5α	5α	NOUN
ejpam-5583	263	148	+	+	CCONJ
ejpam-5583	263	149	1	1	X
ejpam-5583	263	150	)	)	PUNCT
ejpam-5583	263	151	γ	γ	NOUN
ejpam-5583	263	152	(	(	PUNCT
ejpam-5583	263	153	6α	6α	NOUN
ejpam-5583	263	154	+	+	CCONJ
ejpam-5583	263	155	1	1	X
ejpam-5583	263	156	)	)	PUNCT
ejpam-5583	263	157	−	−	PROPN
ejpam-5583	263	158	27−16αt7α	27−16αt7α	NUM
ejpam-5583	263	159	γ	γ	X
ejpam-5583	263	160	(	(	PUNCT
ejpam-5583	263	161	α	α	PROPN
ejpam-5583	263	162	+	+	X
ejpam-5583	263	163	1)4	1)4	NUM
ejpam-5583	263	164	γ	γ	NOUN
ejpam-5583	263	165	(	(	PUNCT
ejpam-5583	263	166	6α	6α	NOUN
ejpam-5583	263	167	+	+	CCONJ
ejpam-5583	263	168	1	1	X
ejpam-5583	263	169	)	)	PUNCT
ejpam-5583	263	170	γ	γ	X
ejpam-5583	263	171	(	(	PUNCT
ejpam-5583	263	172	7α	7α	VERB
ejpam-5583	263	173	+	+	CCONJ
ejpam-5583	263	174	1	1	NUM
ejpam-5583	263	175	)	)	PUNCT
ejpam-5583	263	176	.	.	PUNCT
ejpam-5583	264	1	hence	hence	ADV
ejpam-5583	264	2	,	,	PUNCT
ejpam-5583	264	3	w3	w3	PROPN
ejpam-5583	264	4	(	(	PUNCT
ejpam-5583	264	5	t	t	PROPN
ejpam-5583	264	6	2	2	NUM
ejpam-5583	264	7	)	)	PUNCT
ejpam-5583	265	1	≈	≈	PROPN
ejpam-5583	265	2	−	−	NOUN
ejpam-5583	266	1	t1+α	t1+α	NUM
ejpam-5583	266	2	2αγ	2αγ	NOUN
ejpam-5583	266	3	(	(	PUNCT
ejpam-5583	266	4	α	α	NOUN
ejpam-5583	266	5	+	+	NOUN
ejpam-5583	266	6	2	2	NUM
ejpam-5583	266	7	)	)	PUNCT
ejpam-5583	266	8	+	+	CCONJ
ejpam-5583	266	9	4t2α	4t2α	NUM
ejpam-5583	266	10	22αγ	22αγ	ADJ
ejpam-5583	266	11	(	(	PUNCT
ejpam-5583	266	12	2α	2α	NOUN
ejpam-5583	266	13	+	+	CCONJ
ejpam-5583	266	14	1	1	X
ejpam-5583	266	15	)	)	PUNCT
ejpam-5583	266	16	γ	γ	X
ejpam-5583	266	17	(	(	PUNCT
ejpam-5583	266	18	α	α	NOUN
ejpam-5583	266	19	+	+	NOUN
ejpam-5583	266	20	1	1	NUM
ejpam-5583	266	21	)	)	PUNCT
ejpam-5583	266	22	2	2	NUM
ejpam-5583	266	23	−	−	NOUN
ejpam-5583	266	24	4t3α	4t3α	NOUN
ejpam-5583	266	25	23αγ	23αγ	NOUN
ejpam-5583	266	26	(	(	PUNCT
ejpam-5583	266	27	α	α	NOUN
ejpam-5583	266	28	+	+	NOUN
ejpam-5583	266	29	1	1	NUM
ejpam-5583	266	30	)	)	SYM
ejpam-5583	266	31	2	2	NUM
ejpam-5583	266	32	γ	γ	X
ejpam-5583	266	33	(	(	PUNCT
ejpam-5583	266	34	2α	2α	NOUN
ejpam-5583	266	35	+	+	CCONJ
ejpam-5583	266	36	1	1	X
ejpam-5583	266	37	)	)	PUNCT
ejpam-5583	266	38	γ	γ	NOUN
ejpam-5583	266	39	(	(	PUNCT
ejpam-5583	266	40	3α	3α	NOUN
ejpam-5583	266	41	+	+	NOUN
ejpam-5583	266	42	1	1	NUM
ejpam-5583	266	43	)	)	PUNCT
ejpam-5583	266	44	−	−	PROPN
ejpam-5583	267	1	25−3αt3α	25−3αt3α	NUM
ejpam-5583	267	2	23αγ	23αγ	NOUN
ejpam-5583	267	3	(	(	PUNCT
ejpam-5583	267	4	α	α	NOUN
ejpam-5583	267	5	+	+	NOUN
ejpam-5583	267	6	1	1	X
ejpam-5583	267	7	)	)	PUNCT
ejpam-5583	267	8	γ	γ	NOUN
ejpam-5583	267	9	(	(	PUNCT
ejpam-5583	267	10	2α	2α	NOUN
ejpam-5583	267	11	+	+	CCONJ
ejpam-5583	267	12	1	1	X
ejpam-5583	267	13	)	)	PUNCT
ejpam-5583	267	14	γ	γ	NOUN
ejpam-5583	267	15	(	(	PUNCT
ejpam-5583	267	16	3α	3α	NOUN
ejpam-5583	267	17	+	+	NOUN
ejpam-5583	267	18	1	1	NUM
ejpam-5583	267	19	)	)	PUNCT
ejpam-5583	267	20	+	+	CCONJ
ejpam-5583	267	21	25−8αt4α	25−8αt4α	NUM
ejpam-5583	267	22	24αγ	24αγ	NOUN
ejpam-5583	267	23	(	(	PUNCT
ejpam-5583	267	24	α	α	NOUN
ejpam-5583	267	25	+	+	NOUN
ejpam-5583	267	26	1	1	NUM
ejpam-5583	267	27	)	)	SYM
ejpam-5583	267	28	2	2	NUM
ejpam-5583	267	29	γ	γ	X
ejpam-5583	267	30	(	(	PUNCT
ejpam-5583	267	31	3α	3α	NOUN
ejpam-5583	267	32	+	+	NOUN
ejpam-5583	267	33	1	1	X
ejpam-5583	267	34	)	)	PUNCT
ejpam-5583	267	35	γ	γ	X
ejpam-5583	267	36	(	(	PUNCT
ejpam-5583	267	37	4α	4α	NOUN
ejpam-5583	267	38	+	+	NOUN
ejpam-5583	267	39	1	1	X
ejpam-5583	267	40	)	)	PUNCT
ejpam-5583	267	41	+	+	CCONJ
ejpam-5583	267	42	26−3αt4α	26−3αt4α	NUM
ejpam-5583	267	43	24αγ	24αγ	NOUN
ejpam-5583	267	44	(	(	PUNCT
ejpam-5583	267	45	α	α	NOUN
ejpam-5583	267	46	+	+	NOUN
ejpam-5583	267	47	1	1	NUM
ejpam-5583	267	48	)	)	SYM
ejpam-5583	267	49	2	2	NUM
ejpam-5583	267	50	γ	γ	X
ejpam-5583	267	51	(	(	PUNCT
ejpam-5583	267	52	3α	3α	NOUN
ejpam-5583	267	53	+	+	NOUN
ejpam-5583	267	54	1	1	X
ejpam-5583	267	55	)	)	PUNCT
ejpam-5583	267	56	γ	γ	X
ejpam-5583	267	57	(	(	PUNCT
ejpam-5583	267	58	4α	4α	NOUN
ejpam-5583	267	59	+	+	CCONJ
ejpam-5583	267	60	1	1	X
ejpam-5583	267	61	)	)	PUNCT
ejpam-5583	267	62	−	−	NOUN
ejpam-5583	268	1	26−8αt5α	26−8αt5α	NUM
ejpam-5583	268	2	25αγ	25αγ	NOUN
ejpam-5583	268	3	(	(	PUNCT
ejpam-5583	268	4	α	α	NOUN
ejpam-5583	268	5	+	+	NOUN
ejpam-5583	268	6	1	1	NUM
ejpam-5583	268	7	)	)	PUNCT
ejpam-5583	268	8	3	3	NUM
ejpam-5583	268	9	γ	γ	X
ejpam-5583	268	10	(	(	PUNCT
ejpam-5583	268	11	4α	4α	NOUN
ejpam-5583	268	12	+	+	CCONJ
ejpam-5583	268	13	1	1	X
ejpam-5583	268	14	)	)	PUNCT
ejpam-5583	268	15	γ	γ	NOUN
ejpam-5583	268	16	(	(	PUNCT
ejpam-5583	268	17	5α	5α	NOUN
ejpam-5583	268	18	+	+	CCONJ
ejpam-5583	268	19	1	1	X
ejpam-5583	268	20	)	)	PUNCT
ejpam-5583	268	21	−	−	NOUN
ejpam-5583	268	22	27−6αt5α	27−6αt5α	NUM
ejpam-5583	268	23	25αγ	25αγ	NOUN
ejpam-5583	268	24	(	(	PUNCT
ejpam-5583	268	25	α	α	NOUN
ejpam-5583	268	26	+	+	NOUN
ejpam-5583	268	27	1	1	NUM
ejpam-5583	268	28	)	)	SYM
ejpam-5583	268	29	2	2	NUM
ejpam-5583	268	30	γ	γ	X
ejpam-5583	268	31	(	(	PUNCT
ejpam-5583	268	32	4α	4α	NOUN
ejpam-5583	268	33	+	+	CCONJ
ejpam-5583	268	34	1	1	X
ejpam-5583	268	35	)	)	PUNCT
ejpam-5583	268	36	γ	γ	NOUN
ejpam-5583	268	37	(	(	PUNCT
ejpam-5583	268	38	5α	5α	NOUN
ejpam-5583	268	39	+	+	CCONJ
ejpam-5583	268	40	1	1	NUM
ejpam-5583	268	41	)	)	PUNCT
ejpam-5583	268	42	+	+	NUM
ejpam-5583	268	43	28−11αt6α	28−11αt6α	NUM
ejpam-5583	268	44	26αγ	26αγ	NOUN
ejpam-5583	268	45	(	(	PUNCT
ejpam-5583	268	46	α	α	NOUN
ejpam-5583	268	47	+	+	NOUN
ejpam-5583	268	48	1	1	NUM
ejpam-5583	268	49	)	)	PUNCT
ejpam-5583	268	50	3	3	NUM
ejpam-5583	268	51	γ	γ	X
ejpam-5583	268	52	(	(	PUNCT
ejpam-5583	268	53	5α	5α	NOUN
ejpam-5583	268	54	+	+	CCONJ
ejpam-5583	268	55	1	1	X
ejpam-5583	268	56	)	)	PUNCT
ejpam-5583	268	57	γ	γ	NOUN
ejpam-5583	268	58	(	(	PUNCT
ejpam-5583	268	59	6α	6α	NOUN
ejpam-5583	268	60	+	+	CCONJ
ejpam-5583	268	61	1	1	X
ejpam-5583	268	62	)	)	PUNCT
ejpam-5583	268	63	−	−	PROPN
ejpam-5583	268	64	27−16αt7α	27−16αt7α	NUM
ejpam-5583	268	65	27αγ	27αγ	NOUN
ejpam-5583	268	66	(	(	PUNCT
ejpam-5583	268	67	α	α	NOUN
ejpam-5583	268	68	+	+	NOUN
ejpam-5583	268	69	1	1	NUM
ejpam-5583	268	70	)	)	PUNCT
ejpam-5583	268	71	4	4	NUM
ejpam-5583	268	72	γ	γ	NOUN
ejpam-5583	268	73	(	(	PUNCT
ejpam-5583	268	74	6α	6α	NOUN
ejpam-5583	268	75	+	+	CCONJ
ejpam-5583	268	76	1	1	X
ejpam-5583	268	77	)	)	PUNCT
ejpam-5583	268	78	γ	γ	X
ejpam-5583	268	79	(	(	PUNCT
ejpam-5583	268	80	7α	7α	VERB
ejpam-5583	268	81	+	+	CCONJ
ejpam-5583	268	82	1	1	NUM
ejpam-5583	268	83	)	)	PUNCT
ejpam-5583	268	84	.	.	PUNCT
ejpam-5583	269	1	r.	r.	PROPN
ejpam-5583	269	2	saadeh	saadeh	PROPN
ejpam-5583	269	3	,	,	PUNCT
ejpam-5583	269	4	a.	a.	PROPN
ejpam-5583	269	5	al	al	PROPN
ejpam-5583	269	6	-	-	PUNCT
ejpam-5583	269	7	wadi	wadi	PROPN
ejpam-5583	269	8	,	,	PUNCT
ejpam-5583	269	9	a.	a.	NOUN
ejpam-5583	269	10	qazza	qazza	PROPN
ejpam-5583	269	11	/	/	SYM
ejpam-5583	269	12	eur	eur	PROPN
ejpam-5583	269	13	.	.	PUNCT
ejpam-5583	270	1	j.	j.	PROPN
ejpam-5583	270	2	pure	pure	PROPN
ejpam-5583	270	3	appl	appl	PROPN
ejpam-5583	270	4	.	.	PROPN
ejpam-5583	270	5	math	math	PROPN
ejpam-5583	270	6	,	,	PUNCT
ejpam-5583	270	7	18	18	NUM
ejpam-5583	270	8	(	(	PUNCT
ejpam-5583	270	9	1	1	NUM
ejpam-5583	270	10	)	)	PUNCT
ejpam-5583	270	11	(	(	PUNCT
ejpam-5583	270	12	2025	2025	NUM
ejpam-5583	270	13	)	)	PUNCT
ejpam-5583	270	14	,	,	PUNCT
ejpam-5583	270	15	5583	5583	NUM
ejpam-5583	270	16	11	11	NUM
ejpam-5583	270	17	of	of	ADP
ejpam-5583	270	18	16	16	NUM
ejpam-5583	270	19	thus	thus	ADV
ejpam-5583	270	20	,	,	PUNCT
ejpam-5583	270	21	we	we	PRON
ejpam-5583	270	22	get	get	VERB
ejpam-5583	270	23	the	the	DET
ejpam-5583	270	24	value	value	NOUN
ejpam-5583	270	25	of	of	ADP
ejpam-5583	270	26	w(t	w(t	PROPN
ejpam-5583	270	27	)	)	PUNCT
ejpam-5583	270	28	as	as	ADP
ejpam-5583	270	29	:	:	PUNCT
ejpam-5583	270	30	w	w	PROPN
ejpam-5583	270	31	(	(	PUNCT
ejpam-5583	270	32	t	t	NOUN
ejpam-5583	270	33	)	)	PUNCT
ejpam-5583	270	34	=	=	SYM
ejpam-5583	270	35	w0	w0	PROPN
ejpam-5583	270	36	(	(	PUNCT
ejpam-5583	270	37	t	t	PROPN
ejpam-5583	270	38	)	)	PUNCT
ejpam-5583	270	39	+	+	CCONJ
ejpam-5583	270	40	w1	w1	NOUN
ejpam-5583	270	41	(	(	PUNCT
ejpam-5583	270	42	t	t	PROPN
ejpam-5583	270	43	)	)	PUNCT
ejpam-5583	270	44	+	+	NUM
ejpam-5583	270	45	w2	w2	NOUN
ejpam-5583	270	46	(	(	PUNCT
ejpam-5583	270	47	t	t	PROPN
ejpam-5583	270	48	)	)	PUNCT
ejpam-5583	270	49	+	+	NUM
ejpam-5583	270	50	w3	w3	PROPN
ejpam-5583	270	51	(	(	PUNCT
ejpam-5583	270	52	t	t	PROPN
ejpam-5583	270	53	)	)	PUNCT
ejpam-5583	270	54	+	+	CCONJ
ejpam-5583	270	55	·	·	PUNCT
ejpam-5583	270	56	·	·	PUNCT
ejpam-5583	270	57	·	·	PUNCT
ejpam-5583	271	1	=	=	SYM
ejpam-5583	271	2	1	1	NUM
ejpam-5583	271	3	−	−	NUM
ejpam-5583	271	4	2tα	2tα	NOUN
ejpam-5583	271	5	γ	γ	X
ejpam-5583	271	6	(	(	PUNCT
ejpam-5583	271	7	α	α	PROPN
ejpam-5583	271	8	+	+	NOUN
ejpam-5583	271	9	1	1	NUM
ejpam-5583	271	10	)	)	PUNCT
ejpam-5583	271	11	−	−	PROPN
ejpam-5583	271	12	23−2αt3α	23−2αt3α	NUM
ejpam-5583	271	13	23αγ(1	23αγ(1	NUM
ejpam-5583	271	14	+	+	CCONJ
ejpam-5583	271	15	α)2	α)2	NOUN
ejpam-5583	271	16	+	+	CCONJ
ejpam-5583	271	17	23−αt2α	23−αt2α	NUM
ejpam-5583	271	18	22αγ(1	22αγ(1	ADJ
ejpam-5583	271	19	+	+	CCONJ
ejpam-5583	271	20	α	α	X
ejpam-5583	271	21	)	)	PUNCT
ejpam-5583	271	22	−	−	PROPN
ejpam-5583	271	23	t1+α	t1+α	PROPN
ejpam-5583	271	24	γ	γ	X
ejpam-5583	271	25	(	(	PUNCT
ejpam-5583	271	26	α	α	PROPN
ejpam-5583	271	27	+	+	NOUN
ejpam-5583	271	28	2	2	NUM
ejpam-5583	271	29	)	)	PUNCT
ejpam-5583	271	30	+	+	CCONJ
ejpam-5583	271	31	4t2α	4t2α	NUM
ejpam-5583	271	32	γ	γ	X
ejpam-5583	271	33	(	(	PUNCT
ejpam-5583	271	34	2α	2α	NOUN
ejpam-5583	271	35	+	+	CCONJ
ejpam-5583	271	36	1	1	X
ejpam-5583	271	37	)	)	PUNCT
ejpam-5583	271	38	γ	γ	X
ejpam-5583	271	39	(	(	PUNCT
ejpam-5583	271	40	α	α	NOUN
ejpam-5583	271	41	+	+	X
ejpam-5583	271	42	1)2	1)2	NUM
ejpam-5583	271	43	−	−	NOUN
ejpam-5583	271	44	4t3α	4t3α	NOUN
ejpam-5583	271	45	γ	γ	X
ejpam-5583	271	46	(	(	PUNCT
ejpam-5583	271	47	α	α	PROPN
ejpam-5583	271	48	+	+	X
ejpam-5583	271	49	1)2	1)2	NUM
ejpam-5583	271	50	γ	γ	NOUN
ejpam-5583	271	51	(	(	PUNCT
ejpam-5583	271	52	2α	2α	NOUN
ejpam-5583	271	53	+	+	CCONJ
ejpam-5583	271	54	1	1	X
ejpam-5583	271	55	)	)	PUNCT
ejpam-5583	271	56	γ	γ	NOUN
ejpam-5583	271	57	(	(	PUNCT
ejpam-5583	271	58	3α	3α	NOUN
ejpam-5583	271	59	+	+	NOUN
ejpam-5583	271	60	1	1	NUM
ejpam-5583	271	61	)	)	PUNCT
ejpam-5583	271	62	−	−	PROPN
ejpam-5583	271	63	25−3αt3α	25−3αt3α	NUM
ejpam-5583	271	64	γ	γ	X
ejpam-5583	271	65	(	(	PUNCT
ejpam-5583	271	66	α	α	PROPN
ejpam-5583	271	67	+	+	NOUN
ejpam-5583	271	68	1	1	X
ejpam-5583	271	69	)	)	PUNCT
ejpam-5583	271	70	γ	γ	NOUN
ejpam-5583	271	71	(	(	PUNCT
ejpam-5583	271	72	2α	2α	NOUN
ejpam-5583	271	73	+	+	CCONJ
ejpam-5583	271	74	1	1	X
ejpam-5583	271	75	)	)	PUNCT
ejpam-5583	271	76	γ	γ	NOUN
ejpam-5583	271	77	(	(	PUNCT
ejpam-5583	271	78	3α	3α	NOUN
ejpam-5583	271	79	+	+	NOUN
ejpam-5583	271	80	1	1	NUM
ejpam-5583	271	81	)	)	PUNCT
ejpam-5583	271	82	+	+	CCONJ
ejpam-5583	271	83	25−8αt4α	25−8αt4α	NUM
ejpam-5583	271	84	γ	γ	NOUN
ejpam-5583	271	85	(	(	PUNCT
ejpam-5583	271	86	α	α	NOUN
ejpam-5583	271	87	+	+	X
ejpam-5583	271	88	1)2	1)2	NUM
ejpam-5583	271	89	γ	γ	NOUN
ejpam-5583	271	90	(	(	PUNCT
ejpam-5583	271	91	3α	3α	NOUN
ejpam-5583	271	92	+	+	NOUN
ejpam-5583	271	93	1	1	X
ejpam-5583	271	94	)	)	PUNCT
ejpam-5583	271	95	γ	γ	X
ejpam-5583	271	96	(	(	PUNCT
ejpam-5583	271	97	4α	4α	NOUN
ejpam-5583	271	98	+	+	NOUN
ejpam-5583	271	99	1	1	X
ejpam-5583	271	100	)	)	PUNCT
ejpam-5583	271	101	+	+	CCONJ
ejpam-5583	271	102	26−3αt4α	26−3αt4α	NUM
ejpam-5583	271	103	γ	γ	X
ejpam-5583	271	104	(	(	PUNCT
ejpam-5583	271	105	α	α	PROPN
ejpam-5583	271	106	+	+	X
ejpam-5583	271	107	1)2	1)2	NUM
ejpam-5583	271	108	γ	γ	NOUN
ejpam-5583	271	109	(	(	PUNCT
ejpam-5583	271	110	3α	3α	NOUN
ejpam-5583	271	111	+	+	NOUN
ejpam-5583	271	112	1	1	X
ejpam-5583	271	113	)	)	PUNCT
ejpam-5583	271	114	γ	γ	X
ejpam-5583	271	115	(	(	PUNCT
ejpam-5583	271	116	4α	4α	NOUN
ejpam-5583	271	117	+	+	CCONJ
ejpam-5583	271	118	1	1	X
ejpam-5583	271	119	)	)	PUNCT
ejpam-5583	271	120	−	−	NOUN
ejpam-5583	271	121	26−8αt5α	26−8αt5α	NUM
ejpam-5583	271	122	γ	γ	X
ejpam-5583	271	123	(	(	PUNCT
ejpam-5583	271	124	α	α	PROPN
ejpam-5583	271	125	+	+	X
ejpam-5583	271	126	1)3	1)3	PROPN
ejpam-5583	271	127	γ	γ	X
ejpam-5583	271	128	(	(	PUNCT
ejpam-5583	271	129	4α	4α	NOUN
ejpam-5583	271	130	+	+	CCONJ
ejpam-5583	271	131	1	1	X
ejpam-5583	271	132	)	)	PUNCT
ejpam-5583	271	133	γ	γ	NOUN
ejpam-5583	271	134	(	(	PUNCT
ejpam-5583	271	135	5α	5α	NOUN
ejpam-5583	271	136	+	+	CCONJ
ejpam-5583	271	137	1	1	X
ejpam-5583	271	138	)	)	PUNCT
ejpam-5583	271	139	−	−	PROPN
ejpam-5583	271	140	27−6αt5α	27−6αt5α	NUM
ejpam-5583	271	141	γ	γ	X
ejpam-5583	271	142	(	(	PUNCT
ejpam-5583	271	143	α	α	NOUN
ejpam-5583	271	144	+	+	X
ejpam-5583	271	145	1)2	1)2	NUM
ejpam-5583	271	146	γ	γ	X
ejpam-5583	271	147	(	(	PUNCT
ejpam-5583	271	148	4α	4α	NOUN
ejpam-5583	271	149	+	+	CCONJ
ejpam-5583	271	150	1	1	X
ejpam-5583	271	151	)	)	PUNCT
ejpam-5583	271	152	γ	γ	NOUN
ejpam-5583	271	153	(	(	PUNCT
ejpam-5583	271	154	5α	5α	NOUN
ejpam-5583	271	155	+	+	CCONJ
ejpam-5583	271	156	1	1	NUM
ejpam-5583	271	157	)	)	PUNCT
ejpam-5583	271	158	+	+	NUM
ejpam-5583	271	159	28−11αt6α	28−11αt6α	NUM
ejpam-5583	271	160	γ	γ	X
ejpam-5583	271	161	(	(	PUNCT
ejpam-5583	271	162	α	α	PROPN
ejpam-5583	271	163	+	+	X
ejpam-5583	271	164	1)3	1)3	PROPN
ejpam-5583	271	165	γ	γ	X
ejpam-5583	271	166	(	(	PUNCT
ejpam-5583	271	167	5α	5α	NOUN
ejpam-5583	271	168	+	+	CCONJ
ejpam-5583	271	169	1	1	X
ejpam-5583	271	170	)	)	PUNCT
ejpam-5583	271	171	γ	γ	NOUN
ejpam-5583	271	172	(	(	PUNCT
ejpam-5583	271	173	6α	6α	NOUN
ejpam-5583	271	174	+	+	CCONJ
ejpam-5583	271	175	1	1	X
ejpam-5583	271	176	)	)	PUNCT
ejpam-5583	271	177	−	−	PROPN
ejpam-5583	271	178	27−16αt7α	27−16αt7α	NUM
ejpam-5583	271	179	γ	γ	X
ejpam-5583	271	180	(	(	PUNCT
ejpam-5583	271	181	α	α	PROPN
ejpam-5583	271	182	+	+	X
ejpam-5583	271	183	1)4	1)4	NUM
ejpam-5583	271	184	γ	γ	NOUN
ejpam-5583	271	185	(	(	PUNCT
ejpam-5583	271	186	6α	6α	NOUN
ejpam-5583	271	187	+	+	CCONJ
ejpam-5583	271	188	1	1	X
ejpam-5583	271	189	)	)	PUNCT
ejpam-5583	271	190	γ	γ	X
ejpam-5583	271	191	(	(	PUNCT
ejpam-5583	271	192	7α	7α	VERB
ejpam-5583	271	193	+	+	CCONJ
ejpam-5583	271	194	1	1	NUM
ejpam-5583	271	195	)	)	PUNCT
ejpam-5583	271	196	+	+	PUNCT
ejpam-5583	271	197	·	·	PUNCT
ejpam-5583	271	198	·	·	PUNCT
ejpam-5583	271	199	·	·	PUNCT
ejpam-5583	271	200	.	.	PUNCT
ejpam-5583	272	1	we	we	PRON
ejpam-5583	272	2	use	use	VERB
ejpam-5583	272	3	mathematica	mathematica	PROPN
ejpam-5583	272	4	version	version	PROPN
ejpam-5583	272	5	13.0	13.0	NUM
ejpam-5583	272	6	to	to	PART
ejpam-5583	272	7	simplify	simplify	VERB
ejpam-5583	272	8	the	the	DET
ejpam-5583	272	9	expressions	expression	NOUN
ejpam-5583	272	10	.	.	PUNCT
ejpam-5583	273	1	in	in	ADP
ejpam-5583	273	2	the	the	DET
ejpam-5583	273	3	following	follow	VERB
ejpam-5583	273	4	figure	figure	NOUN
ejpam-5583	273	5	1	1	NUM
ejpam-5583	273	6	,	,	PUNCT
ejpam-5583	273	7	we	we	PRON
ejpam-5583	273	8	sketch	sketch	VERB
ejpam-5583	273	9	the	the	DET
ejpam-5583	273	10	approximate	approximate	ADJ
ejpam-5583	273	11	solution	solution	NOUN
ejpam-5583	273	12	of	of	ADP
ejpam-5583	273	13	example	example	NOUN
ejpam-5583	273	14	1	1	NUM
ejpam-5583	273	15	for	for	ADP
ejpam-5583	273	16	different	different	ADJ
ejpam-5583	273	17	values	value	NOUN
ejpam-5583	273	18	of	of	ADP
ejpam-5583	273	19	α	α	NOUN
ejpam-5583	273	20	=	=	PUNCT
ejpam-5583	273	21	0.75	0.75	NUM
ejpam-5583	273	22	,	,	PUNCT
ejpam-5583	273	23	0.8	0.8	NUM
ejpam-5583	273	24	,	,	PUNCT
ejpam-5583	273	25	0.85	0.85	NUM
ejpam-5583	273	26	,	,	PUNCT
ejpam-5583	273	27	0.9	0.9	NUM
ejpam-5583	273	28	,	,	PUNCT
ejpam-5583	273	29	0.95	0.95	NUM
ejpam-5583	273	30	,	,	PUNCT
ejpam-5583	273	31	1.0	1.0	NUM
ejpam-5583	273	32	.	.	PUNCT
ejpam-5583	274	1	figure	figure	NOUN
ejpam-5583	274	2	1	1	NUM
ejpam-5583	274	3	:	:	PUNCT
ejpam-5583	274	4	approximate	approximate	ADJ
ejpam-5583	274	5	solution	solution	NOUN
ejpam-5583	274	6	with	with	ADP
ejpam-5583	274	7	different	different	ADJ
ejpam-5583	274	8	values	value	NOUN
ejpam-5583	274	9	of	of	ADP
ejpam-5583	274	10	α	α	NOUN
ejpam-5583	274	11	for	for	ADP
ejpam-5583	274	12	example	example	NOUN
ejpam-5583	274	13	1	1	NUM
ejpam-5583	274	14	.	.	PUNCT
ejpam-5583	274	15	example	example	NOUN
ejpam-5583	275	1	2	2	NUM
ejpam-5583	275	2	.	.	X
ejpam-5583	275	3	consider	consider	VERB
ejpam-5583	275	4	the	the	DET
ejpam-5583	275	5	nonlinear	nonlinear	PROPN
ejpam-5583	275	6	dde	dde	PROPN
ejpam-5583	275	7	dαw	dαw	PROPN
ejpam-5583	275	8	(	(	PUNCT
ejpam-5583	275	9	t	t	NOUN
ejpam-5583	275	10	)	)	PUNCT
ejpam-5583	275	11	=	=	SYM
ejpam-5583	276	1	2tw	2tw	NOUN
ejpam-5583	276	2	(	(	PUNCT
ejpam-5583	276	3	t	t	PROPN
ejpam-5583	276	4	2	2	NUM
ejpam-5583	276	5	)	)	PUNCT
ejpam-5583	276	6	,	,	PUNCT
ejpam-5583	276	7	(	(	PUNCT
ejpam-5583	276	8	25	25	NUM
ejpam-5583	276	9	)	)	PUNCT
ejpam-5583	276	10	r.	r.	PROPN
ejpam-5583	276	11	saadeh	saadeh	PROPN
ejpam-5583	276	12	,	,	PUNCT
ejpam-5583	276	13	a.	a.	PROPN
ejpam-5583	276	14	al	al	PROPN
ejpam-5583	276	15	-	-	PUNCT
ejpam-5583	276	16	wadi	wadi	PROPN
ejpam-5583	276	17	,	,	PUNCT
ejpam-5583	276	18	a.	a.	NOUN
ejpam-5583	276	19	qazza	qazza	PROPN
ejpam-5583	276	20	/	/	SYM
ejpam-5583	276	21	eur	eur	PROPN
ejpam-5583	276	22	.	.	PUNCT
ejpam-5583	277	1	j.	j.	PROPN
ejpam-5583	277	2	pure	pure	PROPN
ejpam-5583	277	3	appl	appl	PROPN
ejpam-5583	277	4	.	.	PROPN
ejpam-5583	277	5	math	math	PROPN
ejpam-5583	277	6	,	,	PUNCT
ejpam-5583	277	7	18	18	NUM
ejpam-5583	277	8	(	(	PUNCT
ejpam-5583	277	9	1	1	NUM
ejpam-5583	277	10	)	)	PUNCT
ejpam-5583	277	11	(	(	PUNCT
ejpam-5583	277	12	2025	2025	NUM
ejpam-5583	277	13	)	)	PUNCT
ejpam-5583	277	14	,	,	PUNCT
ejpam-5583	277	15	5583	5583	NUM
ejpam-5583	277	16	12	12	NUM
ejpam-5583	277	17	of	of	ADP
ejpam-5583	277	18	16	16	NUM
ejpam-5583	277	19	with	with	ADP
ejpam-5583	277	20	the	the	DET
ejpam-5583	277	21	initial	initial	ADJ
ejpam-5583	277	22	condition	condition	NOUN
ejpam-5583	277	23	,	,	PUNCT
ejpam-5583	277	24	w	w	NOUN
ejpam-5583	277	25	(	(	PUNCT
ejpam-5583	277	26	0	0	NUM
ejpam-5583	277	27	)	)	PUNCT
ejpam-5583	277	28	=	=	SYM
ejpam-5583	277	29	1	1	NUM
ejpam-5583	277	30	,	,	PUNCT
ejpam-5583	277	31	where	where	SCONJ
ejpam-5583	277	32	0	0	X
ejpam-5583	277	33	<	<	X
ejpam-5583	277	34	α	α	X
ejpam-5583	277	35	<	<	X
ejpam-5583	277	36	1	1	NUM
ejpam-5583	277	37	.	.	PUNCT
ejpam-5583	277	38	(	(	PUNCT
ejpam-5583	277	39	26	26	NUM
ejpam-5583	277	40	)	)	PUNCT
ejpam-5583	277	41	solution	solution	NOUN
ejpam-5583	277	42	.	.	PUNCT
ejpam-5583	278	1	applying	apply	VERB
ejpam-5583	278	2	swt	swt	PROPN
ejpam-5583	278	3	on	on	ADP
ejpam-5583	278	4	both	both	DET
ejpam-5583	278	5	sides	side	NOUN
ejpam-5583	278	6	of	of	ADP
ejpam-5583	278	7	eq	eq	NOUN
ejpam-5583	278	8	(	(	PUNCT
ejpam-5583	278	9	25	25	NUM
ejpam-5583	278	10	)	)	PUNCT
ejpam-5583	278	11	,	,	PUNCT
ejpam-5583	278	12	we	we	PRON
ejpam-5583	278	13	get	get	VERB
ejpam-5583	278	14	s	s	PRON
ejpam-5583	278	15	[	[	X
ejpam-5583	278	16	daw(t	daw(t	PROPN
ejpam-5583	278	17	)	)	PUNCT
ejpam-5583	278	18	]	]	PUNCT
ejpam-5583	279	1	=	=	PUNCT
ejpam-5583	279	2	s	s	X
ejpam-5583	279	3	[	[	PUNCT
ejpam-5583	279	4	2tw	2tw	ADJ
ejpam-5583	279	5	(	(	PUNCT
ejpam-5583	279	6	t	t	PROPN
ejpam-5583	279	7	2	2	NUM
ejpam-5583	279	8	)	)	PUNCT
ejpam-5583	279	9	]	]	PUNCT
ejpam-5583	279	10	.	.	PUNCT
ejpam-5583	280	1	(	(	PUNCT
ejpam-5583	280	2	27	27	NUM
ejpam-5583	280	3	)	)	PUNCT
ejpam-5583	280	4	running	run	VERB
ejpam-5583	280	5	swt	swt	PROPN
ejpam-5583	280	6	on	on	ADP
ejpam-5583	280	7	both	both	DET
ejpam-5583	280	8	sides	side	NOUN
ejpam-5583	280	9	of	of	ADP
ejpam-5583	280	10	eq	eq	NOUN
ejpam-5583	280	11	(	(	PUNCT
ejpam-5583	280	12	27	27	NUM
ejpam-5583	280	13	)	)	PUNCT
ejpam-5583	280	14	,	,	PUNCT
ejpam-5583	280	15	and	and	CCONJ
ejpam-5583	280	16	using	use	VERB
ejpam-5583	280	17	the	the	DET
ejpam-5583	280	18	initial	initial	ADJ
ejpam-5583	280	19	condition	condition	NOUN
ejpam-5583	280	20	eq	eq	ADP
ejpam-5583	280	21	(	(	PUNCT
ejpam-5583	280	22	26	26	NUM
ejpam-5583	280	23	)	)	PUNCT
ejpam-5583	280	24	,	,	PUNCT
ejpam-5583	280	25	we	we	PRON
ejpam-5583	280	26	get	get	VERB
ejpam-5583	280	27	r(v	r(v	PROPN
ejpam-5583	280	28	)	)	PUNCT
ejpam-5583	281	1	vα	vα	ADP
ejpam-5583	281	2	−	−	PROPN
ejpam-5583	281	3	(	(	PUNCT
ejpam-5583	281	4	1	1	NUM
ejpam-5583	281	5	vα+1	vα+1	NOUN
ejpam-5583	281	6	)	)	PUNCT
ejpam-5583	281	7	(	(	PUNCT
ejpam-5583	281	8	1	1	X
ejpam-5583	281	9	)	)	PUNCT
ejpam-5583	281	10	=	=	SYM
ejpam-5583	281	11	s	s	X
ejpam-5583	281	12	[	[	PUNCT
ejpam-5583	281	13	2tw	2tw	ADJ
ejpam-5583	281	14	(	(	PUNCT
ejpam-5583	281	15	t	t	PROPN
ejpam-5583	281	16	2	2	NUM
ejpam-5583	281	17	)	)	PUNCT
ejpam-5583	281	18	]	]	PUNCT
ejpam-5583	282	1	,	,	PUNCT
ejpam-5583	282	2	r	r	NOUN
ejpam-5583	282	3	(	(	PUNCT
ejpam-5583	282	4	v	v	NOUN
ejpam-5583	282	5	)	)	PUNCT
ejpam-5583	282	6	=	=	SYM
ejpam-5583	282	7	1	1	NUM
ejpam-5583	282	8	v	v	NOUN
ejpam-5583	282	9	+	+	CCONJ
ejpam-5583	282	10	vα	vα	PROPN
ejpam-5583	282	11	s	s	X
ejpam-5583	282	12	[	[	PUNCT
ejpam-5583	282	13	2tw	2tw	ADJ
ejpam-5583	282	14	(	(	PUNCT
ejpam-5583	282	15	t	t	PROPN
ejpam-5583	282	16	2	2	NUM
ejpam-5583	282	17	)	)	PUNCT
ejpam-5583	282	18	]	]	PUNCT
ejpam-5583	282	19	.	.	PUNCT
ejpam-5583	283	1	(	(	PUNCT
ejpam-5583	283	2	28	28	NUM
ejpam-5583	283	3	)	)	PUNCT
ejpam-5583	283	4	by	by	ADP
ejpam-5583	283	5	taking	take	VERB
ejpam-5583	283	6	inverse	inverse	NOUN
ejpam-5583	283	7	swt	swt	PROPN
ejpam-5583	283	8	on	on	ADP
ejpam-5583	283	9	both	both	DET
ejpam-5583	283	10	sides	side	NOUN
ejpam-5583	283	11	of	of	ADP
ejpam-5583	283	12	eq	eq	NOUN
ejpam-5583	283	13	(	(	PUNCT
ejpam-5583	283	14	28	28	NUM
ejpam-5583	283	15	)	)	PUNCT
ejpam-5583	283	16	,	,	PUNCT
ejpam-5583	283	17	we	we	PRON
ejpam-5583	283	18	get	get	VERB
ejpam-5583	283	19	w	w	PROPN
ejpam-5583	283	20	(	(	PUNCT
ejpam-5583	283	21	t	t	PROPN
ejpam-5583	283	22	)	)	PUNCT
ejpam-5583	283	23	=	=	SYM
ejpam-5583	284	1	1	1	NUM
ejpam-5583	285	1	+	+	NUM
ejpam-5583	285	2	s−1	s−1	PROPN
ejpam-5583	285	3	[	[	PUNCT
ejpam-5583	285	4	vαs	vαs	NOUN
ejpam-5583	285	5	[	[	PUNCT
ejpam-5583	285	6	2	2	NUM
ejpam-5583	285	7	t	t	NOUN
ejpam-5583	285	8	w	w	NOUN
ejpam-5583	285	9	(	(	PUNCT
ejpam-5583	285	10	t	t	PROPN
ejpam-5583	285	11	2	2	NUM
ejpam-5583	285	12	)	)	PUNCT
ejpam-5583	285	13	]	]	PUNCT
ejpam-5583	285	14	]	]	PUNCT
ejpam-5583	285	15	.	.	PUNCT
ejpam-5583	286	1	we	we	PRON
ejpam-5583	286	2	can	can	AUX
ejpam-5583	286	3	conclude	conclude	VERB
ejpam-5583	286	4	that	that	PRON
ejpam-5583	286	5	w0(t	w0(t	PROPN
ejpam-5583	286	6	)	)	PUNCT
ejpam-5583	286	7	=	=	SYM
ejpam-5583	286	8	1	1	NUM
ejpam-5583	286	9	,	,	PUNCT
ejpam-5583	286	10	and	and	CCONJ
ejpam-5583	286	11	w0	w0	PROPN
ejpam-5583	286	12	(	(	PUNCT
ejpam-5583	286	13	t	t	PROPN
ejpam-5583	286	14	2	2	NUM
ejpam-5583	286	15	)	)	PUNCT
ejpam-5583	286	16	=	=	SYM
ejpam-5583	287	1	1	1	X
ejpam-5583	287	2	.	.	PUNCT
ejpam-5583	287	3	to	to	PART
ejpam-5583	287	4	find	find	VERB
ejpam-5583	287	5	w1(t	w1(t	PROPN
ejpam-5583	287	6	)	)	PUNCT
ejpam-5583	287	7	,	,	PUNCT
ejpam-5583	287	8	we	we	PRON
ejpam-5583	287	9	compute	compute	VERB
ejpam-5583	287	10	n	n	CCONJ
ejpam-5583	287	11	[	[	PUNCT
ejpam-5583	287	12	w0	w0	PROPN
ejpam-5583	287	13	(	(	PUNCT
ejpam-5583	287	14	t	t	PROPN
ejpam-5583	287	15	2	2	NUM
ejpam-5583	287	16	)	)	PUNCT
ejpam-5583	287	17	]	]	PUNCT
ejpam-5583	288	1	=	=	PUNCT
ejpam-5583	288	2	−s−1	−s−1	NUM
ejpam-5583	288	3	[	[	PUNCT
ejpam-5583	288	4	vα	vα	X
ejpam-5583	288	5	s	s	X
ejpam-5583	288	6	[	[	PUNCT
ejpam-5583	288	7	2	2	NUM
ejpam-5583	288	8	t	t	NOUN
ejpam-5583	288	9	w0	w0	PROPN
ejpam-5583	288	10	(	(	PUNCT
ejpam-5583	288	11	t	t	PROPN
ejpam-5583	288	12	2	2	NUM
ejpam-5583	288	13	)	)	PUNCT
ejpam-5583	288	14	]	]	PUNCT
ejpam-5583	288	15	]	]	PUNCT
ejpam-5583	288	16	=	=	PUNCT
ejpam-5583	288	17	−s−1	−s−1	NUM
ejpam-5583	289	1	[	[	X
ejpam-5583	289	2	vα	vα	X
ejpam-5583	289	3	s	s	X
ejpam-5583	289	4	[	[	NOUN
ejpam-5583	289	5	2t(1	2t(1	NUM
ejpam-5583	289	6	)	)	PUNCT
ejpam-5583	289	7	]	]	PUNCT
ejpam-5583	289	8	]	]	X
ejpam-5583	290	1	=	=	PUNCT
ejpam-5583	290	2	−s−1	−s−1	NUM
ejpam-5583	291	1	[	[	X
ejpam-5583	291	2	vα	vα	INTJ
ejpam-5583	291	3	(	(	PUNCT
ejpam-5583	291	4	2	2	NUM
ejpam-5583	291	5	)	)	PUNCT
ejpam-5583	291	6	]	]	PUNCT
ejpam-5583	292	1	=	=	PUNCT
ejpam-5583	293	1	−s−1	−s−1	NUM
ejpam-5583	294	1	[	[	X
ejpam-5583	294	2	2vα	2vα	X
ejpam-5583	294	3	]	]	X
ejpam-5583	294	4	=	=	SYM
ejpam-5583	294	5	2tα+1	2tα+1	NUM
ejpam-5583	294	6	γ	γ	X
ejpam-5583	294	7	(	(	PUNCT
ejpam-5583	294	8	α	α	NOUN
ejpam-5583	294	9	+	+	NOUN
ejpam-5583	294	10	2	2	NUM
ejpam-5583	294	11	)	)	PUNCT
ejpam-5583	294	12	.	.	PUNCT
ejpam-5583	295	1	hence	hence	ADV
ejpam-5583	295	2	,	,	PUNCT
ejpam-5583	295	3	w1	w1	PROPN
ejpam-5583	295	4	(	(	PUNCT
ejpam-5583	295	5	t	t	PROPN
ejpam-5583	295	6	2	2	NUM
ejpam-5583	295	7	)	)	PUNCT
ejpam-5583	295	8	=	=	SYM
ejpam-5583	295	9	−	−	PROPN
ejpam-5583	296	1	2tα+1	2tα+1	NOUN
ejpam-5583	296	2	2α	2α	PROPN
ejpam-5583	296	3	γ	γ	X
ejpam-5583	296	4	(	(	PUNCT
ejpam-5583	296	5	α	α	PROPN
ejpam-5583	296	6	+	+	NOUN
ejpam-5583	296	7	2	2	NUM
ejpam-5583	296	8	)	)	PUNCT
ejpam-5583	296	9	.	.	PUNCT
ejpam-5583	297	1	to	to	PART
ejpam-5583	297	2	find	find	VERB
ejpam-5583	297	3	w2(t	w2(t	PROPN
ejpam-5583	297	4	)	)	PUNCT
ejpam-5583	297	5	,	,	PUNCT
ejpam-5583	297	6	we	we	PRON
ejpam-5583	297	7	compute	compute	VERB
ejpam-5583	297	8	w2(t	w2(t	PROPN
ejpam-5583	297	9	)	)	PUNCT
ejpam-5583	298	1	=	=	SYM
ejpam-5583	298	2	n	n	CCONJ
ejpam-5583	298	3	[	[	PUNCT
ejpam-5583	298	4	w0	w0	PROPN
ejpam-5583	298	5	(	(	PUNCT
ejpam-5583	298	6	t	t	PROPN
ejpam-5583	298	7	2	2	NUM
ejpam-5583	298	8	)	)	PUNCT
ejpam-5583	299	1	+	+	CCONJ
ejpam-5583	299	2	w1	w1	NOUN
ejpam-5583	299	3	(	(	PUNCT
ejpam-5583	299	4	t	t	NOUN
ejpam-5583	299	5	i	i	PROPN
ejpam-5583	299	6	)	)	PUNCT
ejpam-5583	299	7	]	]	PUNCT
ejpam-5583	300	1	−n	−n	ADV
ejpam-5583	300	2	[	[	PUNCT
ejpam-5583	300	3	w0	w0	PROPN
ejpam-5583	300	4	(	(	PUNCT
ejpam-5583	300	5	t	t	PROPN
ejpam-5583	300	6	2	2	NUM
ejpam-5583	300	7	)	)	PUNCT
ejpam-5583	300	8	]	]	PUNCT
ejpam-5583	301	1	=	=	PUNCT
ejpam-5583	301	2	s−1	s−1	PROPN
ejpam-5583	301	3	[	[	PUNCT
ejpam-5583	301	4	vαs	vαs	NOUN
ejpam-5583	301	5	[	[	PUNCT
ejpam-5583	301	6	2	2	NUM
ejpam-5583	301	7	t	t	NOUN
ejpam-5583	301	8	(	(	PUNCT
ejpam-5583	301	9	(	(	PUNCT
ejpam-5583	301	10	1	1	NUM
ejpam-5583	301	11	−	−	NUM
ejpam-5583	301	12	2tα+1	2tα+1	NOUN
ejpam-5583	301	13	2αγ(α	2αγ(α	NUM
ejpam-5583	302	1	+	+	CCONJ
ejpam-5583	302	2	2	2	NUM
ejpam-5583	302	3	)	)	PUNCT
ejpam-5583	302	4	)	)	PUNCT
ejpam-5583	303	1	−	−	PROPN
ejpam-5583	303	2	(	(	PUNCT
ejpam-5583	303	3	1	1	NUM
ejpam-5583	303	4	)	)	PUNCT
ejpam-5583	303	5	)	)	PUNCT
ejpam-5583	304	1	]	]	PUNCT
ejpam-5583	304	2	]	]	X
ejpam-5583	304	3	=	=	PUNCT
ejpam-5583	304	4	s−1	s−1	PROPN
ejpam-5583	304	5	[	[	PUNCT
ejpam-5583	304	6	4v2α+1γ(α	4v2α+1γ(α	PROPN
ejpam-5583	304	7	+	+	CCONJ
ejpam-5583	304	8	3	3	X
ejpam-5583	304	9	)	)	PUNCT
ejpam-5583	304	10	2α	2α	NOUN
ejpam-5583	304	11	γ(α	γ(α	PROPN
ejpam-5583	304	12	+	+	CCONJ
ejpam-5583	304	13	2	2	NUM
ejpam-5583	304	14	)	)	PUNCT
ejpam-5583	304	15	]	]	PUNCT
ejpam-5583	305	1	=	=	PUNCT
ejpam-5583	305	2	4t2α+2	4t2α+2	NUM
ejpam-5583	305	3	·	·	PUNCT
ejpam-5583	305	4	γ	γ	X
ejpam-5583	305	5	(	(	PUNCT
ejpam-5583	305	6	α	α	PROPN
ejpam-5583	305	7	+	+	NOUN
ejpam-5583	305	8	3	3	X
ejpam-5583	305	9	)	)	PUNCT
ejpam-5583	305	10	2α	2α	PROPN
ejpam-5583	305	11	γ	γ	X
ejpam-5583	305	12	(	(	PUNCT
ejpam-5583	305	13	2α	2α	NOUN
ejpam-5583	305	14	+	+	CCONJ
ejpam-5583	305	15	3	3	X
ejpam-5583	305	16	)	)	PUNCT
ejpam-5583	305	17	γ	γ	X
ejpam-5583	305	18	(	(	PUNCT
ejpam-5583	305	19	α	α	NOUN
ejpam-5583	305	20	+	+	NOUN
ejpam-5583	305	21	2	2	NUM
ejpam-5583	305	22	)	)	PUNCT
ejpam-5583	305	23	.	.	PUNCT
ejpam-5583	306	1	r.	r.	PROPN
ejpam-5583	306	2	saadeh	saadeh	PROPN
ejpam-5583	306	3	,	,	PUNCT
ejpam-5583	306	4	a.	a.	PROPN
ejpam-5583	306	5	al	al	PROPN
ejpam-5583	306	6	-	-	PUNCT
ejpam-5583	306	7	wadi	wadi	PROPN
ejpam-5583	306	8	,	,	PUNCT
ejpam-5583	306	9	a.	a.	NOUN
ejpam-5583	306	10	qazza	qazza	PROPN
ejpam-5583	306	11	/	/	SYM
ejpam-5583	306	12	eur	eur	PROPN
ejpam-5583	306	13	.	.	PUNCT
ejpam-5583	307	1	j.	j.	PROPN
ejpam-5583	307	2	pure	pure	PROPN
ejpam-5583	307	3	appl	appl	PROPN
ejpam-5583	307	4	.	.	PROPN
ejpam-5583	307	5	math	math	PROPN
ejpam-5583	307	6	,	,	PUNCT
ejpam-5583	307	7	18	18	NUM
ejpam-5583	307	8	(	(	PUNCT
ejpam-5583	307	9	1	1	NUM
ejpam-5583	307	10	)	)	PUNCT
ejpam-5583	307	11	(	(	PUNCT
ejpam-5583	307	12	2025	2025	NUM
ejpam-5583	307	13	)	)	PUNCT
ejpam-5583	307	14	,	,	PUNCT
ejpam-5583	307	15	5583	5583	NUM
ejpam-5583	307	16	13	13	NUM
ejpam-5583	307	17	of	of	ADP
ejpam-5583	307	18	16	16	NUM
ejpam-5583	307	19	thus	thus	ADV
ejpam-5583	307	20	we	we	PRON
ejpam-5583	307	21	get	get	VERB
ejpam-5583	307	22	w	w	PROPN
ejpam-5583	307	23	(	(	PUNCT
ejpam-5583	307	24	t	t	NOUN
ejpam-5583	307	25	)	)	PUNCT
ejpam-5583	307	26	=	=	SYM
ejpam-5583	307	27	w0	w0	PROPN
ejpam-5583	307	28	(	(	PUNCT
ejpam-5583	307	29	t	t	PROPN
ejpam-5583	307	30	)	)	PUNCT
ejpam-5583	308	1	+	+	CCONJ
ejpam-5583	308	2	w1	w1	NOUN
ejpam-5583	308	3	(	(	PUNCT
ejpam-5583	308	4	t	t	PROPN
ejpam-5583	308	5	)	)	PUNCT
ejpam-5583	308	6	+	+	NUM
ejpam-5583	308	7	w2	w2	NOUN
ejpam-5583	308	8	(	(	PUNCT
ejpam-5583	308	9	t	t	PROPN
ejpam-5583	308	10	)	)	PUNCT
ejpam-5583	308	11	+	+	X
ejpam-5583	308	12	·	·	PUNCT
ejpam-5583	308	13	·	·	PUNCT
ejpam-5583	308	14	·	·	PUNCT
ejpam-5583	309	1	=	=	SYM
ejpam-5583	309	2	1	1	NUM
ejpam-5583	309	3	+	+	NUM
ejpam-5583	309	4	2tα+1	2tα+1	NUM
ejpam-5583	309	5	γ(α	γ(α	NOUN
ejpam-5583	309	6	+	+	CCONJ
ejpam-5583	309	7	2	2	X
ejpam-5583	309	8	)	)	PUNCT
ejpam-5583	309	9	+	+	CCONJ
ejpam-5583	309	10	4t2α+2γ(α	4t2α+2γ(α	NOUN
ejpam-5583	309	11	+	+	CCONJ
ejpam-5583	309	12	3	3	X
ejpam-5583	309	13	)	)	PUNCT
ejpam-5583	309	14	2α	2α	NOUN
ejpam-5583	309	15	γ(2α	γ(2α	NOUN
ejpam-5583	309	16	+	+	CCONJ
ejpam-5583	309	17	3)γ(α	3)γ(α	NUM
ejpam-5583	309	18	+	+	CCONJ
ejpam-5583	309	19	2	2	NUM
ejpam-5583	309	20	)	)	PUNCT
ejpam-5583	309	21	+	+	NUM
ejpam-5583	309	22	·	·	PUNCT
ejpam-5583	309	23	·	·	PUNCT
ejpam-5583	309	24	·	·	PUNCT
ejpam-5583	309	25	.	.	PUNCT
ejpam-5583	310	1	we	we	PRON
ejpam-5583	310	2	use	use	VERB
ejpam-5583	310	3	mathematica	mathematica	PROPN
ejpam-5583	310	4	version	version	PROPN
ejpam-5583	310	5	13.0	13.0	NUM
ejpam-5583	310	6	to	to	PART
ejpam-5583	310	7	simplify	simplify	VERB
ejpam-5583	310	8	the	the	DET
ejpam-5583	310	9	expressions	expression	NOUN
ejpam-5583	310	10	.	.	PUNCT
ejpam-5583	311	1	in	in	ADP
ejpam-5583	311	2	the	the	DET
ejpam-5583	311	3	following	follow	VERB
ejpam-5583	311	4	figure	figure	NOUN
ejpam-5583	311	5	2	2	NUM
ejpam-5583	311	6	,	,	PUNCT
ejpam-5583	311	7	we	we	PRON
ejpam-5583	311	8	sketch	sketch	VERB
ejpam-5583	311	9	the	the	DET
ejpam-5583	311	10	approximate	approximate	ADJ
ejpam-5583	311	11	solution	solution	NOUN
ejpam-5583	311	12	of	of	ADP
ejpam-5583	311	13	example	example	NOUN
ejpam-5583	311	14	2	2	NUM
ejpam-5583	311	15	for	for	ADP
ejpam-5583	311	16	different	different	ADJ
ejpam-5583	311	17	values	value	NOUN
ejpam-5583	311	18	of	of	ADP
ejpam-5583	311	19	α	α	NOUN
ejpam-5583	311	20	=	=	SYM
ejpam-5583	311	21	0.6	0.6	NUM
ejpam-5583	311	22	,	,	PUNCT
ejpam-5583	311	23	0.7	0.7	NUM
ejpam-5583	311	24	,	,	PUNCT
ejpam-5583	311	25	0.8	0.8	NUM
ejpam-5583	311	26	,	,	PUNCT
ejpam-5583	311	27	0.9	0.9	NUM
ejpam-5583	311	28	,	,	PUNCT
ejpam-5583	311	29	0.95	0.95	NUM
ejpam-5583	311	30	,	,	PUNCT
ejpam-5583	311	31	1.0	1.0	NUM
ejpam-5583	311	32	.	.	PUNCT
ejpam-5583	312	1	figure	figure	NOUN
ejpam-5583	312	2	2	2	NUM
ejpam-5583	312	3	:	:	PUNCT
ejpam-5583	312	4	approximate	approximate	ADJ
ejpam-5583	312	5	solution	solution	NOUN
ejpam-5583	312	6	with	with	ADP
ejpam-5583	312	7	different	different	ADJ
ejpam-5583	312	8	values	value	NOUN
ejpam-5583	312	9	of	of	ADP
ejpam-5583	312	10	α	α	NOUN
ejpam-5583	312	11	for	for	ADP
ejpam-5583	312	12	example	example	NOUN
ejpam-5583	312	13	2	2	NUM
ejpam-5583	312	14	.	.	NOUN
ejpam-5583	312	15	7	7	NUM
ejpam-5583	312	16	.	.	X
ejpam-5583	312	17	conclusion	conclusion	NOUN
ejpam-5583	312	18	this	this	DET
ejpam-5583	312	19	study	study	NOUN
ejpam-5583	312	20	has	have	AUX
ejpam-5583	312	21	demonstrated	demonstrate	VERB
ejpam-5583	312	22	the	the	DET
ejpam-5583	312	23	substantial	substantial	ADJ
ejpam-5583	312	24	potential	potential	NOUN
ejpam-5583	312	25	of	of	ADP
ejpam-5583	312	26	integrating	integrate	VERB
ejpam-5583	312	27	the	the	DET
ejpam-5583	312	28	swt	swt	PROPN
ejpam-5583	312	29	with	with	ADP
ejpam-5583	312	30	iterative	iterative	ADJ
ejpam-5583	312	31	methods	method	NOUN
ejpam-5583	312	32	,	,	PUNCT
ejpam-5583	312	33	particularly	particularly	ADV
ejpam-5583	312	34	the	the	DET
ejpam-5583	312	35	sim	sim	NOUN
ejpam-5583	312	36	,	,	PUNCT
ejpam-5583	312	37	to	to	PART
ejpam-5583	312	38	solve	solve	VERB
ejpam-5583	312	39	fractional	fractional	ADJ
ejpam-5583	312	40	differential	differential	ADJ
ejpam-5583	312	41	equations	equation	NOUN
ejpam-5583	312	42	and	and	CCONJ
ejpam-5583	312	43	other	other	ADJ
ejpam-5583	312	44	complex	complex	ADJ
ejpam-5583	312	45	differential	differential	ADJ
ejpam-5583	312	46	equations	equation	NOUN
ejpam-5583	312	47	.	.	PUNCT
ejpam-5583	313	1	by	by	ADP
ejpam-5583	313	2	leveraging	leverage	VERB
ejpam-5583	313	3	the	the	DET
ejpam-5583	313	4	unique	unique	ADJ
ejpam-5583	313	5	properties	property	NOUN
ejpam-5583	313	6	of	of	ADP
ejpam-5583	313	7	the	the	DET
ejpam-5583	313	8	swt	swt	PROPN
ejpam-5583	313	9	such	such	ADJ
ejpam-5583	313	10	as	as	ADP
ejpam-5583	313	11	linearity	linearity	NOUN
ejpam-5583	313	12	,	,	PUNCT
ejpam-5583	313	13	scaling	scaling	NOUN
ejpam-5583	313	14	,	,	PUNCT
ejpam-5583	313	15	shifting	shift	VERB
ejpam-5583	313	16	,	,	PUNCT
ejpam-5583	313	17	and	and	CCONJ
ejpam-5583	313	18	convolution	convolution	NOUN
ejpam-5583	313	19	,	,	PUNCT
ejpam-5583	313	20	we	we	PRON
ejpam-5583	313	21	have	have	AUX
ejpam-5583	313	22	shown	show	VERB
ejpam-5583	313	23	that	that	SCONJ
ejpam-5583	313	24	it	it	PRON
ejpam-5583	313	25	is	be	AUX
ejpam-5583	313	26	possible	possible	ADJ
ejpam-5583	313	27	to	to	PART
ejpam-5583	313	28	transform	transform	VERB
ejpam-5583	313	29	complex	complex	ADJ
ejpam-5583	313	30	differential	differential	ADJ
ejpam-5583	313	31	problems	problem	NOUN
ejpam-5583	313	32	into	into	ADP
ejpam-5583	313	33	simpler	simple	ADJ
ejpam-5583	313	34	algebraic	algebraic	ADJ
ejpam-5583	313	35	forms	form	NOUN
ejpam-5583	313	36	,	,	PUNCT
ejpam-5583	313	37	facilitating	facilitate	VERB
ejpam-5583	313	38	more	more	ADV
ejpam-5583	313	39	efficient	efficient	ADJ
ejpam-5583	313	40	and	and	CCONJ
ejpam-5583	313	41	precise	precise	ADJ
ejpam-5583	313	42	solutions	solution	NOUN
ejpam-5583	313	43	.	.	PUNCT
ejpam-5583	314	1	the	the	DET
ejpam-5583	314	2	application	application	NOUN
ejpam-5583	314	3	of	of	ADP
ejpam-5583	314	4	iterative	iterative	ADJ
ejpam-5583	314	5	methods	method	NOUN
ejpam-5583	314	6	in	in	ADP
ejpam-5583	314	7	conjunction	conjunction	NOUN
ejpam-5583	314	8	with	with	ADP
ejpam-5583	314	9	the	the	DET
ejpam-5583	314	10	swt	swt	PROPN
ejpam-5583	314	11	has	have	AUX
ejpam-5583	314	12	proven	prove	VERB
ejpam-5583	314	13	to	to	PART
ejpam-5583	314	14	enhance	enhance	VERB
ejpam-5583	314	15	both	both	DET
ejpam-5583	314	16	the	the	DET
ejpam-5583	314	17	accuracy	accuracy	NOUN
ejpam-5583	314	18	and	and	CCONJ
ejpam-5583	314	19	convergence	convergence	NOUN
ejpam-5583	314	20	of	of	ADP
ejpam-5583	314	21	solutions	solution	NOUN
ejpam-5583	314	22	,	,	PUNCT
ejpam-5583	314	23	particularly	particularly	ADV
ejpam-5583	314	24	in	in	ADP
ejpam-5583	314	25	challenging	challenge	VERB
ejpam-5583	314	26	scenarios	scenario	NOUN
ejpam-5583	314	27	involving	involve	VERB
ejpam-5583	314	28	non	non	ADJ
ejpam-5583	314	29	-	-	ADJ
ejpam-5583	314	30	linear	linear	ADJ
ejpam-5583	314	31	and	and	CCONJ
ejpam-5583	314	32	delay	delay	VERB
ejpam-5583	314	33	differential	differential	ADJ
ejpam-5583	314	34	equations	equation	NOUN
ejpam-5583	314	35	.	.	PUNCT
ejpam-5583	315	1	through	through	ADP
ejpam-5583	315	2	detailed	detailed	ADJ
ejpam-5583	315	3	examples	example	NOUN
ejpam-5583	315	4	and	and	CCONJ
ejpam-5583	315	5	case	case	NOUN
ejpam-5583	315	6	studies	study	NOUN
ejpam-5583	315	7	,	,	PUNCT
ejpam-5583	315	8	we	we	PRON
ejpam-5583	315	9	have	have	AUX
ejpam-5583	315	10	illustrated	illustrate	VERB
ejpam-5583	315	11	the	the	DET
ejpam-5583	315	12	practical	practical	ADJ
ejpam-5583	315	13	utility	utility	NOUN
ejpam-5583	315	14	of	of	ADP
ejpam-5583	315	15	this	this	DET
ejpam-5583	315	16	combined	combine	VERB
ejpam-5583	315	17	approach	approach	NOUN
ejpam-5583	315	18	,	,	PUNCT
ejpam-5583	315	19	emphasizing	emphasize	VERB
ejpam-5583	315	20	its	its	PRON
ejpam-5583	315	21	effectiveness	effectiveness	NOUN
ejpam-5583	315	22	in	in	ADP
ejpam-5583	315	23	tackling	tackle	VERB
ejpam-5583	315	24	a	a	DET
ejpam-5583	315	25	broad	broad	ADJ
ejpam-5583	315	26	range	range	NOUN
ejpam-5583	315	27	of	of	ADP
ejpam-5583	315	28	mathematical	mathematical	ADJ
ejpam-5583	315	29	problems	problem	NOUN
ejpam-5583	315	30	.	.	PUNCT
ejpam-5583	316	1	the	the	DET
ejpam-5583	316	2	results	result	NOUN
ejpam-5583	316	3	of	of	ADP
ejpam-5583	316	4	this	this	DET
ejpam-5583	316	5	research	research	NOUN
ejpam-5583	316	6	contribute	contribute	VERB
ejpam-5583	316	7	significantly	significantly	ADV
ejpam-5583	316	8	to	to	ADP
ejpam-5583	316	9	the	the	DET
ejpam-5583	316	10	expanding	expand	VERB
ejpam-5583	316	11	body	body	NOUN
ejpam-5583	316	12	of	of	ADP
ejpam-5583	316	13	knowledge	knowledge	NOUN
ejpam-5583	316	14	in	in	ADP
ejpam-5583	316	15	the	the	DET
ejpam-5583	316	16	field	field	NOUN
ejpam-5583	316	17	of	of	ADP
ejpam-5583	316	18	integral	integral	ADJ
ejpam-5583	316	19	transforms	transform	NOUN
ejpam-5583	316	20	and	and	CCONJ
ejpam-5583	316	21	iterative	iterative	NOUN
ejpam-5583	316	22	methods	method	NOUN
ejpam-5583	316	23	.	.	PUNCT
ejpam-5583	317	1	the	the	DET
ejpam-5583	317	2	enhanced	enhance	VERB
ejpam-5583	317	3	solutions	solution	NOUN
ejpam-5583	317	4	derived	derive	VERB
ejpam-5583	317	5	from	from	ADP
ejpam-5583	317	6	the	the	DET
ejpam-5583	317	7	integration	integration	NOUN
ejpam-5583	317	8	of	of	ADP
ejpam-5583	317	9	swt	swt	PROPN
ejpam-5583	317	10	and	and	CCONJ
ejpam-5583	317	11	iterative	iterative	NOUN
ejpam-5583	317	12	methods	method	NOUN
ejpam-5583	317	13	hold	hold	VERB
ejpam-5583	317	14	great	great	ADJ
ejpam-5583	317	15	promise	promise	NOUN
ejpam-5583	317	16	for	for	ADP
ejpam-5583	317	17	various	various	ADJ
ejpam-5583	317	18	scientific	scientific	ADJ
ejpam-5583	317	19	and	and	CCONJ
ejpam-5583	317	20	engineering	engineering	NOUN
ejpam-5583	317	21	disciplines	discipline	NOUN
ejpam-5583	317	22	,	,	PUNCT
ejpam-5583	317	23	offering	offer	VERB
ejpam-5583	317	24	new	new	ADJ
ejpam-5583	317	25	tools	tool	NOUN
ejpam-5583	317	26	and	and	CCONJ
ejpam-5583	317	27	methodologies	methodology	NOUN
ejpam-5583	317	28	for	for	ADP
ejpam-5583	317	29	addressing	address	VERB
ejpam-5583	317	30	real	real	ADJ
ejpam-5583	317	31	-	-	PUNCT
ejpam-5583	317	32	world	world	NOUN
ejpam-5583	317	33	problems	problem	NOUN
ejpam-5583	317	34	with	with	ADP
ejpam-5583	317	35	greater	great	ADJ
ejpam-5583	317	36	efficiency	efficiency	NOUN
ejpam-5583	317	37	and	and	CCONJ
ejpam-5583	317	38	accuracy	accuracy	NOUN
ejpam-5583	317	39	.	.	PUNCT
ejpam-5583	318	1	future	future	ADJ
ejpam-5583	318	2	research	research	NOUN
ejpam-5583	318	3	can	can	AUX
ejpam-5583	318	4	build	build	VERB
ejpam-5583	318	5	r.	r.	PROPN
ejpam-5583	318	6	saadeh	saadeh	PROPN
ejpam-5583	318	7	,	,	PUNCT
ejpam-5583	318	8	a.	a.	PROPN
ejpam-5583	318	9	al	al	PROPN
ejpam-5583	318	10	-	-	PUNCT
ejpam-5583	318	11	wadi	wadi	PROPN
ejpam-5583	318	12	,	,	PUNCT
ejpam-5583	318	13	a.	a.	NOUN
ejpam-5583	318	14	qazza	qazza	PROPN
ejpam-5583	318	15	/	/	SYM
ejpam-5583	318	16	eur	eur	PROPN
ejpam-5583	318	17	.	.	PUNCT
ejpam-5583	319	1	j.	j.	PROPN
ejpam-5583	319	2	pure	pure	PROPN
ejpam-5583	319	3	appl	appl	PROPN
ejpam-5583	319	4	.	.	PROPN
ejpam-5583	319	5	math	math	PROPN
ejpam-5583	319	6	,	,	PUNCT
ejpam-5583	319	7	18	18	NUM
ejpam-5583	319	8	(	(	PUNCT
ejpam-5583	319	9	1	1	NUM
ejpam-5583	319	10	)	)	PUNCT
ejpam-5583	319	11	(	(	PUNCT
ejpam-5583	319	12	2025	2025	NUM
ejpam-5583	319	13	)	)	PUNCT
ejpam-5583	319	14	,	,	PUNCT
ejpam-5583	319	15	5583	5583	NUM
ejpam-5583	319	16	14	14	NUM
ejpam-5583	319	17	of	of	ADP
ejpam-5583	319	18	16	16	NUM
ejpam-5583	319	19	upon	upon	SCONJ
ejpam-5583	319	20	these	these	DET
ejpam-5583	319	21	findings	finding	NOUN
ejpam-5583	319	22	by	by	ADP
ejpam-5583	319	23	exploring	explore	VERB
ejpam-5583	319	24	additional	additional	ADJ
ejpam-5583	319	25	applications	application	NOUN
ejpam-5583	319	26	of	of	ADP
ejpam-5583	319	27	the	the	DET
ejpam-5583	319	28	swt	swt	PROPN
ejpam-5583	319	29	in	in	ADP
ejpam-5583	319	30	other	other	ADJ
ejpam-5583	319	31	areas	area	NOUN
ejpam-5583	319	32	of	of	ADP
ejpam-5583	319	33	differential	differential	ADJ
ejpam-5583	319	34	equations	equation	NOUN
ejpam-5583	319	35	and	and	CCONJ
ejpam-5583	319	36	further	further	ADJ
ejpam-5583	319	37	refining	refining	NOUN
ejpam-5583	319	38	iterative	iterative	NOUN
ejpam-5583	319	39	methods	method	NOUN
ejpam-5583	319	40	to	to	PART
ejpam-5583	319	41	improve	improve	VERB
ejpam-5583	319	42	their	their	PRON
ejpam-5583	319	43	efficiency	efficiency	NOUN
ejpam-5583	319	44	and	and	CCONJ
ejpam-5583	319	45	convergence	convergence	NOUN
ejpam-5583	319	46	.	.	PUNCT
ejpam-5583	320	1	the	the	DET
ejpam-5583	320	2	continued	continue	VERB
ejpam-5583	320	3	development	development	NOUN
ejpam-5583	320	4	and	and	CCONJ
ejpam-5583	320	5	application	application	NOUN
ejpam-5583	320	6	of	of	ADP
ejpam-5583	320	7	these	these	DET
ejpam-5583	320	8	techniques	technique	NOUN
ejpam-5583	320	9	are	be	AUX
ejpam-5583	320	10	likely	likely	ADJ
ejpam-5583	320	11	to	to	PART
ejpam-5583	320	12	advance	advance	VERB
ejpam-5583	320	13	the	the	DET
ejpam-5583	320	14	field	field	NOUN
ejpam-5583	320	15	of	of	ADP
ejpam-5583	320	16	applied	apply	VERB
ejpam-5583	320	17	mathematics	mathematic	NOUN
ejpam-5583	320	18	and	and	CCONJ
ejpam-5583	320	19	expand	expand	VERB
ejpam-5583	320	20	its	its	PRON
ejpam-5583	320	21	practical	practical	ADJ
ejpam-5583	320	22	applications	application	NOUN
ejpam-5583	320	23	in	in	ADP
ejpam-5583	320	24	numerous	numerous	ADJ
ejpam-5583	320	25	disciplines	discipline	NOUN
ejpam-5583	320	26	.	.	PUNCT
ejpam-5583	321	1	acknowledgements	acknowledgement	NOUN
ejpam-5583	321	2	this	this	DET
ejpam-5583	321	3	research	research	NOUN
ejpam-5583	321	4	is	be	AUX
ejpam-5583	321	5	funded	fund	VERB
ejpam-5583	321	6	partially	partially	ADV
ejpam-5583	321	7	by	by	ADP
ejpam-5583	321	8	zarqa	zarqa	PROPN
ejpam-5583	321	9	university	university	PROPN
ejpam-5583	321	10	-	-	PUNCT
ejpam-5583	321	11	jordan	jordan	PROPN
ejpam-5583	321	12	.	.	PUNCT
ejpam-5583	322	1	references	reference	NOUN
ejpam-5583	322	2	[	[	X
ejpam-5583	322	3	1	1	NUM
ejpam-5583	322	4	]	]	X
ejpam-5583	322	5	mahgoub	mahgoub	NOUN
ejpam-5583	322	6	mohand	mohand	PROPN
ejpam-5583	322	7	m.	m.	NOUN
ejpam-5583	322	8	abdelrahim	abdelrahim	PROPN
ejpam-5583	322	9	.	.	PUNCT
ejpam-5583	323	1	the	the	DET
ejpam-5583	323	2	new	new	ADJ
ejpam-5583	323	3	integral	integral	ADJ
ejpam-5583	323	4	transform	transform	NOUN
ejpam-5583	323	5	sawi	sawi	ADJ
ejpam-5583	323	6	transform	transform	NOUN
ejpam-5583	323	7	.	.	PUNCT
ejpam-5583	324	1	advances	advance	NOUN
ejpam-5583	324	2	in	in	ADP
ejpam-5583	324	3	theoretical	theoretical	ADJ
ejpam-5583	324	4	and	and	CCONJ
ejpam-5583	324	5	applied	apply	VERB
ejpam-5583	324	6	mathematics	mathematic	NOUN
ejpam-5583	324	7	,	,	PUNCT
ejpam-5583	324	8	14(1):81–87	14(1):81–87	NUM
ejpam-5583	324	9	,	,	PUNCT
ejpam-5583	324	10	219	219	NUM
ejpam-5583	324	11	.	.	PUNCT
ejpam-5583	325	1	[	[	X
ejpam-5583	325	2	2	2	NUM
ejpam-5583	325	3	]	]	X
ejpam-5583	325	4	mohammad	mohammad	PROPN
ejpam-5583	325	5	abu	abu	PROPN
ejpam-5583	325	6	-	-	PUNCT
ejpam-5583	325	7	ghuwaleh	ghuwaleh	PROPN
ejpam-5583	325	8	,	,	PUNCT
ejpam-5583	325	9	rania	rania	PROPN
ejpam-5583	325	10	saadeh	saadeh	PROPN
ejpam-5583	325	11	,	,	PUNCT
ejpam-5583	325	12	and	and	CCONJ
ejpam-5583	325	13	ahmad	ahmad	PROPN
ejpam-5583	325	14	qazza	qazza	PROPN
ejpam-5583	325	15	.	.	PUNCT
ejpam-5583	326	1	a	a	DET
ejpam-5583	326	2	novel	novel	ADJ
ejpam-5583	326	3	approach	approach	NOUN
ejpam-5583	326	4	in	in	ADP
ejpam-5583	326	5	solving	solve	VERB
ejpam-5583	326	6	improper	improper	ADJ
ejpam-5583	326	7	integrals	integral	NOUN
ejpam-5583	326	8	.	.	PUNCT
ejpam-5583	327	1	axioms	axiom	NOUN
ejpam-5583	327	2	,	,	PUNCT
ejpam-5583	327	3	11(10):572	11(10):572	NUM
ejpam-5583	327	4	,	,	PUNCT
ejpam-5583	327	5	2022	2022	NUM
ejpam-5583	327	6	.	.	PUNCT
ejpam-5583	328	1	[	[	X
ejpam-5583	328	2	3	3	X
ejpam-5583	328	3	]	]	X
ejpam-5583	328	4	sandeep	sandeep	PROPN
ejpam-5583	328	5	aggarwal	aggarwal	PROPN
ejpam-5583	328	6	and	and	CCONJ
ejpam-5583	328	7	anuj	anuj	PROPN
ejpam-5583	328	8	r	r	PROPN
ejpam-5583	328	9	gupta	gupta	PROPN
ejpam-5583	328	10	.	.	PUNCT
ejpam-5583	329	1	dualities	duality	NOUN
ejpam-5583	329	2	between	between	ADP
ejpam-5583	329	3	some	some	DET
ejpam-5583	329	4	useful	useful	ADJ
ejpam-5583	329	5	integral	integral	ADJ
ejpam-5583	329	6	transforms	transform	NOUN
ejpam-5583	329	7	and	and	CCONJ
ejpam-5583	329	8	sawi	sawi	ADJ
ejpam-5583	329	9	transform	transform	NOUN
ejpam-5583	329	10	.	.	PUNCT
ejpam-5583	330	1	international	international	ADJ
ejpam-5583	330	2	journal	journal	NOUN
ejpam-5583	330	3	of	of	ADP
ejpam-5583	330	4	recent	recent	ADJ
ejpam-5583	330	5	technology	technology	NOUN
ejpam-5583	330	6	and	and	CCONJ
ejpam-5583	330	7	engineering	engineering	NOUN
ejpam-5583	330	8	,	,	PUNCT
ejpam-5583	330	9	8(3):5978–5982	8(3):5978–5982	NUM
ejpam-5583	330	10	,	,	PUNCT
ejpam-5583	330	11	2019	2019	NUM
ejpam-5583	330	12	.	.	PUNCT
ejpam-5583	331	1	[	[	X
ejpam-5583	331	2	4	4	X
ejpam-5583	331	3	]	]	X
ejpam-5583	331	4	sarmad	sarmad	ADJ
ejpam-5583	331	5	a.	a.	NOUN
ejpam-5583	331	6	altaie	altaie	PROPN
ejpam-5583	331	7	,	,	PUNCT
ejpam-5583	331	8	nidal	nidal	PROPN
ejpam-5583	331	9	anakira	anakira	PROPN
ejpam-5583	331	10	,	,	PUNCT
ejpam-5583	331	11	ali	ali	PROPN
ejpam-5583	331	12	jameel	jameel	PROPN
ejpam-5583	331	13	,	,	PUNCT
ejpam-5583	331	14	osama	osama	PROPN
ejpam-5583	331	15	ababneh	ababneh	NOUN
ejpam-5583	331	16	,	,	PUNCT
ejpam-5583	331	17	ahmad	ahmad	PROPN
ejpam-5583	331	18	qazza	qazza	PROPN
ejpam-5583	331	19	,	,	PUNCT
ejpam-5583	331	20	and	and	CCONJ
ejpam-5583	331	21	abdel	abdel	PROPN
ejpam-5583	331	22	kareem	kareem	PROPN
ejpam-5583	331	23	alomari	alomari	PROPN
ejpam-5583	331	24	.	.	PUNCT
ejpam-5583	332	1	homotopy	homotopy	VERB
ejpam-5583	332	2	analysis	analysis	NOUN
ejpam-5583	332	3	method	method	NOUN
ejpam-5583	332	4	analytical	analytical	ADJ
ejpam-5583	332	5	scheme	scheme	NOUN
ejpam-5583	332	6	for	for	ADP
ejpam-5583	332	7	developing	develop	VERB
ejpam-5583	332	8	a	a	DET
ejpam-5583	332	9	solution	solution	NOUN
ejpam-5583	332	10	to	to	ADP
ejpam-5583	332	11	partial	partial	ADJ
ejpam-5583	332	12	differential	differential	ADJ
ejpam-5583	332	13	equations	equation	NOUN
ejpam-5583	332	14	in	in	ADP
ejpam-5583	332	15	fuzzy	fuzzy	ADJ
ejpam-5583	332	16	environment	environment	NOUN
ejpam-5583	332	17	.	.	PUNCT
ejpam-5583	333	1	fractal	fractal	ADJ
ejpam-5583	333	2	and	and	CCONJ
ejpam-5583	333	3	fractional	fractional	ADJ
ejpam-5583	333	4	,	,	PUNCT
ejpam-5583	333	5	6(8):419	6(8):419	NUM
ejpam-5583	333	6	,	,	PUNCT
ejpam-5583	333	7	2022	2022	NUM
ejpam-5583	333	8	.	.	PUNCT
ejpam-5583	334	1	[	[	X
ejpam-5583	334	2	5	5	NUM
ejpam-5583	334	3	]	]	PUNCT
ejpam-5583	334	4	abdulrahman	abdulrahman	PROPN
ejpam-5583	334	5	bm	bm	PROPN
ejpam-5583	334	6	alzahrani	alzahrani	PROPN
ejpam-5583	334	7	,	,	PUNCT
ejpam-5583	334	8	rania	rania	PROPN
ejpam-5583	334	9	saadeh	saadeh	PROPN
ejpam-5583	334	10	,	,	PUNCT
ejpam-5583	334	11	mohamed	mohame	VERB
ejpam-5583	334	12	a	a	DET
ejpam-5583	334	13	abdoon	abdoon	NOUN
ejpam-5583	334	14	,	,	PUNCT
ejpam-5583	334	15	mohamed	mohamed	PROPN
ejpam-5583	334	16	elbadri	elbadri	PROPN
ejpam-5583	334	17	,	,	PUNCT
ejpam-5583	334	18	mohammed	mohammed	PROPN
ejpam-5583	334	19	berir	berir	PROPN
ejpam-5583	334	20	,	,	PUNCT
ejpam-5583	334	21	and	and	CCONJ
ejpam-5583	334	22	ahmad	ahmad	PROPN
ejpam-5583	334	23	qazza	qazza	PROPN
ejpam-5583	334	24	.	.	PUNCT
ejpam-5583	335	1	effective	effective	ADJ
ejpam-5583	335	2	methods	method	NOUN
ejpam-5583	335	3	for	for	ADP
ejpam-5583	335	4	numerical	numerical	ADJ
ejpam-5583	335	5	analysis	analysis	NOUN
ejpam-5583	335	6	of	of	ADP
ejpam-5583	335	7	the	the	DET
ejpam-5583	335	8	simplest	simple	ADJ
ejpam-5583	335	9	chaotic	chaotic	ADJ
ejpam-5583	335	10	circuit	circuit	NOUN
ejpam-5583	335	11	model	model	NOUN
ejpam-5583	335	12	with	with	ADP
ejpam-5583	335	13	atangana	atangana	PROPN
ejpam-5583	335	14	–	–	PUNCT
ejpam-5583	335	15	baleanu	baleanu	PROPN
ejpam-5583	335	16	caputo	caputo	PROPN
ejpam-5583	335	17	fractional	fractional	PROPN
ejpam-5583	335	18	derivative	derivative	PROPN
ejpam-5583	335	19	.	.	PUNCT
ejpam-5583	336	1	journal	journal	PROPN
ejpam-5583	336	2	of	of	ADP
ejpam-5583	336	3	engineering	engineering	NOUN
ejpam-5583	336	4	mathematics	mathematic	NOUN
ejpam-5583	336	5	,	,	PUNCT
ejpam-5583	336	6	144(1):9	144(1):9	NUM
ejpam-5583	336	7	,	,	PUNCT
ejpam-5583	336	8	2024	2024	NUM
ejpam-5583	336	9	.	.	PUNCT
ejpam-5583	337	1	[	[	X
ejpam-5583	337	2	6	6	NUM
ejpam-5583	337	3	]	]	X
ejpam-5583	337	4	dumitru	dumitru	PROPN
ejpam-5583	337	5	baleanu	baleanu	PROPN
ejpam-5583	337	6	,	,	PUNCT
ejpam-5583	337	7	editor	editor	NOUN
ejpam-5583	337	8	.	.	PUNCT
ejpam-5583	338	1	advances	advance	NOUN
ejpam-5583	338	2	in	in	ADP
ejpam-5583	338	3	differential	differential	ADJ
ejpam-5583	338	4	and	and	CCONJ
ejpam-5583	338	5	difference	difference	NOUN
ejpam-5583	338	6	equations	equation	NOUN
ejpam-5583	338	7	with	with	ADP
ejpam-5583	338	8	applications	application	NOUN
ejpam-5583	338	9	2020	2020	NUM
ejpam-5583	338	10	.	.	PUNCT
ejpam-5583	339	1	mdpi	mdpi	ADJ
ejpam-5583	339	2	-	-	ADJ
ejpam-5583	339	3	multidisciplinary	multidisciplinary	ADJ
ejpam-5583	339	4	digital	digital	PROPN
ejpam-5583	339	5	publishing	publishing	PROPN
ejpam-5583	339	6	institute	institute	NOUN
ejpam-5583	339	7	,	,	PUNCT
ejpam-5583	339	8	2020	2020	NUM
ejpam-5583	339	9	.	.	PUNCT
ejpam-5583	340	1	[	[	X
ejpam-5583	340	2	7	7	X
ejpam-5583	340	3	]	]	X
ejpam-5583	340	4	osama	osama	NOUN
ejpam-5583	340	5	bazighifan	bazighifan	NOUN
ejpam-5583	340	6	.	.	PUNCT
ejpam-5583	341	1	editorial	editorial	NOUN
ejpam-5583	341	2	for	for	ADP
ejpam-5583	341	3	special	special	ADJ
ejpam-5583	341	4	issue	issue	NOUN
ejpam-5583	341	5	“	"	PUNCT
ejpam-5583	341	6	recent	recent	ADJ
ejpam-5583	341	7	advances	advance	NOUN
ejpam-5583	341	8	in	in	ADP
ejpam-5583	341	9	fractional	fractional	ADJ
ejpam-5583	341	10	differential	differential	ADJ
ejpam-5583	341	11	equations	equation	NOUN
ejpam-5583	341	12	,	,	PUNCT
ejpam-5583	341	13	delay	delay	VERB
ejpam-5583	341	14	differential	differential	ADJ
ejpam-5583	341	15	equations	equation	NOUN
ejpam-5583	341	16	and	and	CCONJ
ejpam-5583	341	17	their	their	PRON
ejpam-5583	341	18	applications	application	NOUN
ejpam-5583	341	19	”	"	PUNCT
ejpam-5583	341	20	.	.	PUNCT
ejpam-5583	342	1	fractal	fractal	PROPN
ejpam-5583	342	2	and	and	CCONJ
ejpam-5583	342	3	fractional	fractional	ADJ
ejpam-5583	342	4	,	,	PUNCT
ejpam-5583	342	5	6(9):503	6(9):503	NUM
ejpam-5583	342	6	,	,	PUNCT
ejpam-5583	342	7	2022	2022	NUM
ejpam-5583	342	8	.	.	PUNCT
ejpam-5583	343	1	[	[	X
ejpam-5583	343	2	8	8	NUM
ejpam-5583	343	3	]	]	X
ejpam-5583	343	4	thu	thu	PROPN
ejpam-5583	343	5	bui	bui	PROPN
ejpam-5583	343	6	.	.	PUNCT
ejpam-5583	344	1	explicit	explicit	ADJ
ejpam-5583	344	2	and	and	CCONJ
ejpam-5583	344	3	implicit	implicit	ADJ
ejpam-5583	344	4	methods	method	NOUN
ejpam-5583	344	5	in	in	ADP
ejpam-5583	344	6	solving	solve	VERB
ejpam-5583	344	7	differential	differential	ADJ
ejpam-5583	344	8	equations	equation	NOUN
ejpam-5583	344	9	.	.	PUNCT
ejpam-5583	345	1	honors	honor	NOUN
ejpam-5583	345	2	scholar	scholar	PROPN
ejpam-5583	345	3	theses	theses	PROPN
ejpam-5583	345	4	,	,	PUNCT
ejpam-5583	345	5	university	university	PROPN
ejpam-5583	345	6	of	of	ADP
ejpam-5583	345	7	connecticut	connecticut	PROPN
ejpam-5583	345	8	,	,	PUNCT
ejpam-5583	345	9	2010	2010	NUM
ejpam-5583	345	10	.	.	PUNCT
ejpam-5583	346	1	[	[	X
ejpam-5583	346	2	9	9	NUM
ejpam-5583	346	3	]	]	X
ejpam-5583	346	4	jeffery	jeffery	PROPN
ejpam-5583	346	5	r	r	NOUN
ejpam-5583	346	6	cash	cash	NOUN
ejpam-5583	346	7	.	.	PUNCT
ejpam-5583	347	1	efficient	efficient	ADJ
ejpam-5583	347	2	numerical	numerical	ADJ
ejpam-5583	347	3	methods	method	NOUN
ejpam-5583	347	4	for	for	ADP
ejpam-5583	347	5	the	the	DET
ejpam-5583	347	6	solution	solution	NOUN
ejpam-5583	347	7	of	of	ADP
ejpam-5583	347	8	stiff	stiff	ADJ
ejpam-5583	347	9	initial	initial	ADJ
ejpam-5583	347	10	-	-	PUNCT
ejpam-5583	347	11	value	value	NOUN
ejpam-5583	347	12	problems	problem	NOUN
ejpam-5583	347	13	and	and	CCONJ
ejpam-5583	347	14	differential	differential	VERB
ejpam-5583	347	15	algebraic	algebraic	ADJ
ejpam-5583	347	16	equations	equation	NOUN
ejpam-5583	347	17	.	.	PUNCT
ejpam-5583	348	1	proceedings	proceeding	NOUN
ejpam-5583	348	2	of	of	ADP
ejpam-5583	348	3	the	the	DET
ejpam-5583	348	4	royal	royal	ADJ
ejpam-5583	348	5	society	society	NOUN
ejpam-5583	348	6	of	of	ADP
ejpam-5583	348	7	london	london	PROPN
ejpam-5583	348	8	.	.	PUNCT
ejpam-5583	349	1	series	series	PROPN
ejpam-5583	349	2	a	a	PRON
ejpam-5583	349	3	:	:	PUNCT
ejpam-5583	349	4	mathematical	mathematical	ADJ
ejpam-5583	349	5	,	,	PUNCT
ejpam-5583	349	6	physical	physical	ADJ
ejpam-5583	349	7	and	and	CCONJ
ejpam-5583	349	8	engineering	engineering	NOUN
ejpam-5583	349	9	sciences	science	NOUN
ejpam-5583	349	10	,	,	PUNCT
ejpam-5583	349	11	459(2032):797	459(2032):797	NUM
ejpam-5583	349	12	–	–	PUNCT
ejpam-5583	349	13	815	815	NUM
ejpam-5583	349	14	,	,	PUNCT
ejpam-5583	349	15	2003	2003	NUM
ejpam-5583	349	16	.	.	PUNCT
ejpam-5583	350	1	[	[	X
ejpam-5583	350	2	10	10	NUM
ejpam-5583	350	3	]	]	X
ejpam-5583	350	4	wolfgang	wolfgang	PROPN
ejpam-5583	350	5	christian	christian	PROPN
ejpam-5583	350	6	and	and	CCONJ
ejpam-5583	350	7	francisco	francisco	PROPN
ejpam-5583	350	8	esquembre	esquembre	PROPN
ejpam-5583	350	9	.	.	PUNCT
ejpam-5583	351	1	ordinary	ordinary	ADJ
ejpam-5583	351	2	differential	differential	ADJ
ejpam-5583	351	3	equations	equation	NOUN
ejpam-5583	351	4	.	.	PUNCT
ejpam-5583	352	1	in	in	ADP
ejpam-5583	352	2	handbook	handbook	NOUN
ejpam-5583	352	3	of	of	ADP
ejpam-5583	352	4	dynamic	dynamic	ADJ
ejpam-5583	352	5	system	system	NOUN
ejpam-5583	352	6	modeling	modeling	NOUN
ejpam-5583	352	7	.	.	PUNCT
ejpam-5583	353	1	mdpi	mdpi	PROPN
ejpam-5583	353	2	,	,	PUNCT
ejpam-5583	353	3	2007	2007	NUM
ejpam-5583	353	4	.	.	PUNCT
ejpam-5583	354	1	[	[	X
ejpam-5583	354	2	11	11	NUM
ejpam-5583	354	3	]	]	PUNCT
ejpam-5583	354	4	celso	celso	PROPN
ejpam-5583	354	5	a	a	DET
ejpam-5583	354	6	de	de	X
ejpam-5583	354	7	moura	moura	NOUN
ejpam-5583	354	8	.	.	PROPN
ejpam-5583	354	9	parallel	parallel	ADJ
ejpam-5583	354	10	numerical	numerical	ADJ
ejpam-5583	354	11	methods	method	NOUN
ejpam-5583	354	12	for	for	ADP
ejpam-5583	354	13	differential	differential	ADJ
ejpam-5583	354	14	equations	equation	NOUN
ejpam-5583	354	15	.	.	PUNCT
ejpam-5583	355	1	in	in	ADP
ejpam-5583	355	2	models	model	NOUN
ejpam-5583	355	3	for	for	ADP
ejpam-5583	355	4	parallel	parallel	ADJ
ejpam-5583	355	5	and	and	CCONJ
ejpam-5583	355	6	distributed	distributed	ADJ
ejpam-5583	355	7	computation	computation	NOUN
ejpam-5583	355	8	:	:	PUNCT
ejpam-5583	355	9	theory	theory	NOUN
ejpam-5583	355	10	,	,	PUNCT
ejpam-5583	355	11	algorithmic	algorithmic	ADJ
ejpam-5583	355	12	techniques	technique	NOUN
ejpam-5583	355	13	and	and	CCONJ
ejpam-5583	355	14	applications	application	NOUN
ejpam-5583	355	15	,	,	PUNCT
ejpam-5583	355	16	pages	page	NOUN
ejpam-5583	355	17	279–313	279–313	NUM
ejpam-5583	355	18	.	.	PUNCT
ejpam-5583	355	19	springer	springer	NOUN
ejpam-5583	355	20	,	,	PUNCT
ejpam-5583	355	21	2002	2002	NUM
ejpam-5583	355	22	.	.	PUNCT
ejpam-5583	356	1	r.	r.	PROPN
ejpam-5583	356	2	saadeh	saadeh	PROPN
ejpam-5583	356	3	,	,	PUNCT
ejpam-5583	356	4	a.	a.	PROPN
ejpam-5583	356	5	al	al	PROPN
ejpam-5583	356	6	-	-	PUNCT
ejpam-5583	356	7	wadi	wadi	PROPN
ejpam-5583	356	8	,	,	PUNCT
ejpam-5583	356	9	a.	a.	NOUN
ejpam-5583	356	10	qazza	qazza	PROPN
ejpam-5583	356	11	/	/	SYM
ejpam-5583	356	12	eur	eur	PROPN
ejpam-5583	356	13	.	.	PUNCT
ejpam-5583	357	1	j.	j.	PROPN
ejpam-5583	357	2	pure	pure	PROPN
ejpam-5583	357	3	appl	appl	PROPN
ejpam-5583	357	4	.	.	PROPN
ejpam-5583	357	5	math	math	PROPN
ejpam-5583	357	6	,	,	PUNCT
ejpam-5583	357	7	18	18	NUM
ejpam-5583	357	8	(	(	PUNCT
ejpam-5583	357	9	1	1	NUM
ejpam-5583	357	10	)	)	PUNCT
ejpam-5583	357	11	(	(	PUNCT
ejpam-5583	357	12	2025	2025	NUM
ejpam-5583	357	13	)	)	PUNCT
ejpam-5583	357	14	,	,	PUNCT
ejpam-5583	357	15	5583	5583	NUM
ejpam-5583	357	16	15	15	NUM
ejpam-5583	357	17	of	of	ADP
ejpam-5583	357	18	16	16	NUM
ejpam-5583	357	19	[	[	X
ejpam-5583	357	20	12	12	NUM
ejpam-5583	357	21	]	]	PUNCT
ejpam-5583	357	22	anurak	anurak	NOUN
ejpam-5583	357	23	dhamacharoen	dhamacharoen	PROPN
ejpam-5583	357	24	.	.	PUNCT
ejpam-5583	358	1	efficient	efficient	ADJ
ejpam-5583	358	2	numerical	numerical	ADJ
ejpam-5583	358	3	methods	method	NOUN
ejpam-5583	358	4	for	for	ADP
ejpam-5583	358	5	solving	solve	VERB
ejpam-5583	358	6	differential	differential	ADJ
ejpam-5583	358	7	algebraic	algebraic	ADJ
ejpam-5583	358	8	equations	equation	NOUN
ejpam-5583	358	9	.	.	PUNCT
ejpam-5583	359	1	journal	journal	NOUN
ejpam-5583	359	2	of	of	ADP
ejpam-5583	359	3	applied	apply	VERB
ejpam-5583	359	4	mathematics	mathematic	NOUN
ejpam-5583	359	5	and	and	CCONJ
ejpam-5583	359	6	physics	physics	NOUN
ejpam-5583	359	7	,	,	PUNCT
ejpam-5583	359	8	4(1):39–47	4(1):39–47	NUM
ejpam-5583	359	9	,	,	PUNCT
ejpam-5583	359	10	2016	2016	NUM
ejpam-5583	359	11	.	.	PUNCT
ejpam-5583	360	1	[	[	X
ejpam-5583	360	2	13	13	NUM
ejpam-5583	360	3	]	]	PUNCT
ejpam-5583	360	4	ayman	ayman	PROPN
ejpam-5583	360	5	hazaymeh	hazaymeh	NOUN
ejpam-5583	360	6	,	,	PUNCT
ejpam-5583	360	7	ahmad	ahmad	PROPN
ejpam-5583	360	8	qazza	qazza	PROPN
ejpam-5583	360	9	,	,	PUNCT
ejpam-5583	360	10	raed	raed	PROPN
ejpam-5583	360	11	hatamleh	hatamleh	PROPN
ejpam-5583	360	12	,	,	PUNCT
ejpam-5583	360	13	mohammad	mohammad	PROPN
ejpam-5583	360	14	w	w	PROPN
ejpam-5583	360	15	alomari	alomari	PROPN
ejpam-5583	360	16	,	,	PUNCT
ejpam-5583	360	17	and	and	CCONJ
ejpam-5583	360	18	rania	rania	PROPN
ejpam-5583	360	19	saadeh	saadeh	PROPN
ejpam-5583	360	20	.	.	PUNCT
ejpam-5583	361	1	on	on	ADP
ejpam-5583	361	2	further	further	ADJ
ejpam-5583	361	3	refinements	refinement	NOUN
ejpam-5583	361	4	of	of	ADP
ejpam-5583	361	5	numerical	numerical	ADJ
ejpam-5583	361	6	radius	radius	PROPN
ejpam-5583	361	7	inequalities	inequality	NOUN
ejpam-5583	361	8	.	.	PUNCT
ejpam-5583	362	1	axioms	axiom	NOUN
ejpam-5583	362	2	,	,	PUNCT
ejpam-5583	362	3	12(9):807	12(9):807	NUM
ejpam-5583	362	4	,	,	PUNCT
ejpam-5583	362	5	2023	2023	NUM
ejpam-5583	362	6	.	.	PUNCT
ejpam-5583	363	1	[	[	X
ejpam-5583	363	2	14	14	NUM
ejpam-5583	363	3	]	]	PUNCT
ejpam-5583	363	4	ayman	ayman	PROPN
ejpam-5583	363	5	hazaymeh	hazaymeh	NOUN
ejpam-5583	363	6	,	,	PUNCT
ejpam-5583	363	7	rania	rania	PROPN
ejpam-5583	363	8	saadeh	saadeh	PROPN
ejpam-5583	363	9	,	,	PUNCT
ejpam-5583	363	10	raed	raed	PROPN
ejpam-5583	363	11	hatamleh	hatamleh	PROPN
ejpam-5583	363	12	,	,	PUNCT
ejpam-5583	363	13	mohammad	mohammad	PROPN
ejpam-5583	363	14	w	w	PROPN
ejpam-5583	363	15	alomari	alomari	PROPN
ejpam-5583	363	16	,	,	PUNCT
ejpam-5583	363	17	and	and	CCONJ
ejpam-5583	363	18	ahmad	ahmad	PROPN
ejpam-5583	363	19	qazza	qazza	PROPN
ejpam-5583	363	20	.	.	PUNCT
ejpam-5583	364	1	a	a	DET
ejpam-5583	364	2	perturbed	perturb	VERB
ejpam-5583	364	3	milne	milne	PROPN
ejpam-5583	364	4	’s	’s	PART
ejpam-5583	364	5	quadrature	quadrature	NOUN
ejpam-5583	364	6	rule	rule	NOUN
ejpam-5583	364	7	for	for	ADP
ejpam-5583	364	8	n	n	NUM
ejpam-5583	364	9	-	-	PUNCT
ejpam-5583	364	10	times	time	NOUN
ejpam-5583	364	11	differentiable	differentiable	ADJ
ejpam-5583	364	12	functions	function	NOUN
ejpam-5583	364	13	with	with	ADP
ejpam-5583	364	14	lp	lp	ADJ
ejpam-5583	364	15	-	-	PUNCT
ejpam-5583	364	16	error	error	NOUN
ejpam-5583	364	17	estimates	estimate	NOUN
ejpam-5583	364	18	.	.	PUNCT
ejpam-5583	365	1	axioms	axiom	NOUN
ejpam-5583	365	2	,	,	PUNCT
ejpam-5583	365	3	12(9):803	12(9):803	NOUN
ejpam-5583	365	4	,	,	PUNCT
ejpam-5583	365	5	2023	2023	NUM
ejpam-5583	365	6	.	.	PUNCT
ejpam-5583	366	1	[	[	X
ejpam-5583	366	2	15	15	NUM
ejpam-5583	366	3	]	]	X
ejpam-5583	366	4	edyta	edyta	PROPN
ejpam-5583	366	5	hetmaniok	hetmaniok	PROPN
ejpam-5583	366	6	and	and	CCONJ
ejpam-5583	366	7	micha	micha	PROPN
ejpam-5583	366	8	l	l	PROPN
ejpam-5583	366	9	pleszczyński	pleszczyński	PROPN
ejpam-5583	366	10	.	.	PUNCT
ejpam-5583	367	1	comparison	comparison	NOUN
ejpam-5583	367	2	of	of	ADP
ejpam-5583	367	3	the	the	DET
ejpam-5583	367	4	selected	select	VERB
ejpam-5583	367	5	methods	method	NOUN
ejpam-5583	367	6	used	use	VERB
ejpam-5583	367	7	for	for	ADP
ejpam-5583	367	8	solving	solve	VERB
ejpam-5583	367	9	the	the	DET
ejpam-5583	367	10	ordinary	ordinary	ADJ
ejpam-5583	367	11	differential	differential	ADJ
ejpam-5583	367	12	equations	equation	NOUN
ejpam-5583	367	13	and	and	CCONJ
ejpam-5583	367	14	their	their	PRON
ejpam-5583	367	15	systems	system	NOUN
ejpam-5583	367	16	.	.	PUNCT
ejpam-5583	368	1	mathematics	mathematic	NOUN
ejpam-5583	368	2	,	,	PUNCT
ejpam-5583	368	3	10(3):306	10(3):306	NUM
ejpam-5583	368	4	,	,	PUNCT
ejpam-5583	368	5	2022	2022	NUM
ejpam-5583	368	6	.	.	PUNCT
ejpam-5583	369	1	[	[	X
ejpam-5583	369	2	16	16	NUM
ejpam-5583	369	3	]	]	X
ejpam-5583	369	4	hossein	hossein	PROPN
ejpam-5583	369	5	jafari	jafari	PROPN
ejpam-5583	369	6	.	.	PUNCT
ejpam-5583	370	1	a	a	DET
ejpam-5583	370	2	new	new	ADJ
ejpam-5583	370	3	general	general	ADJ
ejpam-5583	370	4	integral	integral	ADJ
ejpam-5583	370	5	transform	transform	NOUN
ejpam-5583	370	6	for	for	ADP
ejpam-5583	370	7	solving	solve	VERB
ejpam-5583	370	8	integral	integral	ADJ
ejpam-5583	370	9	equations	equation	NOUN
ejpam-5583	370	10	.	.	PUNCT
ejpam-5583	371	1	journal	journal	NOUN
ejpam-5583	371	2	of	of	ADP
ejpam-5583	371	3	advanced	advanced	ADJ
ejpam-5583	371	4	research	research	NOUN
ejpam-5583	371	5	,	,	PUNCT
ejpam-5583	371	6	32:133–138	32:133–138	PROPN
ejpam-5583	371	7	,	,	PUNCT
ejpam-5583	371	8	2021	2021	NUM
ejpam-5583	371	9	.	.	PUNCT
ejpam-5583	372	1	[	[	X
ejpam-5583	372	2	17	17	NUM
ejpam-5583	372	3	]	]	X
ejpam-5583	372	4	mohammed	mohammed	PROPN
ejpam-5583	372	5	f	f	PROPN
ejpam-5583	372	6	kadhem	kadhem	PROPN
ejpam-5583	372	7	and	and	CCONJ
ejpam-5583	372	8	ayad	ayad	PROPN
ejpam-5583	372	9	h	h	PROPN
ejpam-5583	372	10	alfayadh	alfayadh	PROPN
ejpam-5583	372	11	.	.	PUNCT
ejpam-5583	373	1	mixed	mixed	ADJ
ejpam-5583	373	2	homotopy	homotopy	NOUN
ejpam-5583	373	3	integral	integral	ADJ
ejpam-5583	373	4	transform	transform	NOUN
ejpam-5583	373	5	method	method	NOUN
ejpam-5583	373	6	for	for	ADP
ejpam-5583	373	7	solving	solve	VERB
ejpam-5583	373	8	non	non	ADJ
ejpam-5583	373	9	-	-	ADJ
ejpam-5583	373	10	linear	linear	ADJ
ejpam-5583	373	11	integro	integro	ADJ
ejpam-5583	373	12	-	-	PUNCT
ejpam-5583	373	13	differential	differential	NOUN
ejpam-5583	373	14	equation	equation	NOUN
ejpam-5583	373	15	.	.	PUNCT
ejpam-5583	374	1	al	al	PROPN
ejpam-5583	374	2	-	-	PUNCT
ejpam-5583	374	3	nahrain	nahrain	PROPN
ejpam-5583	374	4	journal	journal	NOUN
ejpam-5583	374	5	of	of	ADP
ejpam-5583	374	6	science	science	NOUN
ejpam-5583	374	7	,	,	PUNCT
ejpam-5583	374	8	25(1):35–40	25(1):35–40	NUM
ejpam-5583	374	9	,	,	PUNCT
ejpam-5583	374	10	2022	2022	NUM
ejpam-5583	374	11	.	.	PUNCT
ejpam-5583	375	1	[	[	X
ejpam-5583	375	2	18	18	NUM
ejpam-5583	375	3	]	]	X
ejpam-5583	375	4	manish	manish	PROPN
ejpam-5583	375	5	kapoor	kapoor	PROPN
ejpam-5583	375	6	and	and	CCONJ
ejpam-5583	375	7	sanjay	sanjay	PROPN
ejpam-5583	375	8	khosla	khosla	PROPN
ejpam-5583	375	9	.	.	PUNCT
ejpam-5583	376	1	an	an	DET
ejpam-5583	376	2	iterative	iterative	NOUN
ejpam-5583	376	3	approach	approach	NOUN
ejpam-5583	376	4	using	use	VERB
ejpam-5583	376	5	sawi	sawi	ADJ
ejpam-5583	376	6	transform	transform	NOUN
ejpam-5583	376	7	for	for	ADP
ejpam-5583	376	8	fractional	fractional	ADJ
ejpam-5583	376	9	telegraph	telegraph	NOUN
ejpam-5583	376	10	equation	equation	NOUN
ejpam-5583	376	11	in	in	ADP
ejpam-5583	376	12	diversified	diversified	ADJ
ejpam-5583	376	13	dimensions	dimension	NOUN
ejpam-5583	376	14	.	.	PUNCT
ejpam-5583	377	1	nonlinear	nonlinear	ADJ
ejpam-5583	377	2	engineering	engineering	NOUN
ejpam-5583	377	3	,	,	PUNCT
ejpam-5583	377	4	12(1):20220285	12(1):20220285	NUM
ejpam-5583	377	5	,	,	PUNCT
ejpam-5583	377	6	2023	2023	NUM
ejpam-5583	377	7	.	.	PUNCT
ejpam-5583	378	1	[	[	X
ejpam-5583	378	2	19	19	NUM
ejpam-5583	378	3	]	]	PUNCT
ejpam-5583	378	4	mohanned	mohanne	VERB
ejpam-5583	378	5	f	f	PROPN
ejpam-5583	378	6	kazem	kazem	PROPN
ejpam-5583	378	7	and	and	CCONJ
ejpam-5583	378	8	ali	ali	PROPN
ejpam-5583	378	9	al	al	PROPN
ejpam-5583	378	10	-	-	PUNCT
ejpam-5583	378	11	fayadh	fayadh	NOUN
ejpam-5583	378	12	.	.	PUNCT
ejpam-5583	379	1	solving	solve	VERB
ejpam-5583	379	2	fredholm	fredholm	NOUN
ejpam-5583	379	3	integro	integro	ADJ
ejpam-5583	379	4	-	-	PUNCT
ejpam-5583	379	5	differential	differential	NOUN
ejpam-5583	379	6	equation	equation	NOUN
ejpam-5583	379	7	of	of	ADP
ejpam-5583	379	8	fractional	fractional	ADJ
ejpam-5583	379	9	order	order	NOUN
ejpam-5583	379	10	by	by	ADP
ejpam-5583	379	11	using	use	VERB
ejpam-5583	379	12	sawi	sawi	PROPN
ejpam-5583	379	13	homotopy	homotopy	NOUN
ejpam-5583	379	14	perturbation	perturbation	NOUN
ejpam-5583	379	15	method	method	NOUN
ejpam-5583	379	16	.	.	PUNCT
ejpam-5583	380	1	in	in	ADP
ejpam-5583	380	2	journal	journal	PROPN
ejpam-5583	380	3	of	of	ADP
ejpam-5583	380	4	physics	physics	PROPN
ejpam-5583	380	5	:	:	PUNCT
ejpam-5583	380	6	conference	conference	NOUN
ejpam-5583	380	7	series	series	NOUN
ejpam-5583	380	8	,	,	PUNCT
ejpam-5583	380	9	volume	volume	NOUN
ejpam-5583	380	10	2322	2322	NUM
ejpam-5583	380	11	,	,	PUNCT
ejpam-5583	380	12	page	page	NOUN
ejpam-5583	380	13	012056	012056	NUM
ejpam-5583	380	14	.	.	PUNCT
ejpam-5583	381	1	iop	iop	PROPN
ejpam-5583	381	2	publishing	publishing	NOUN
ejpam-5583	381	3	,	,	PUNCT
ejpam-5583	381	4	2022	2022	NUM
ejpam-5583	381	5	.	.	PUNCT
ejpam-5583	382	1	[	[	X
ejpam-5583	382	2	20	20	NUM
ejpam-5583	382	3	]	]	X
ejpam-5583	382	4	shaukat	shaukat	PROPN
ejpam-5583	382	5	khan	khan	PROPN
ejpam-5583	382	6	,	,	PUNCT
ejpam-5583	382	7	asmat	asmat	VERB
ejpam-5583	382	8	ullah	ullah	PROPN
ejpam-5583	382	9	,	,	PUNCT
ejpam-5583	382	10	manuel	manuel	PROPN
ejpam-5583	382	11	de	de	PROPN
ejpam-5583	382	12	la	la	PROPN
ejpam-5583	382	13	sen	sen	PROPN
ejpam-5583	382	14	,	,	PUNCT
ejpam-5583	382	15	and	and	CCONJ
ejpam-5583	382	16	shamsuddin	shamsuddin	VERB
ejpam-5583	382	17	ahmad	ahmad	PROPN
ejpam-5583	382	18	.	.	PUNCT
ejpam-5583	383	1	double	double	ADJ
ejpam-5583	383	2	sawi	sawi	PROPN
ejpam-5583	383	3	transform	transform	NOUN
ejpam-5583	383	4	:	:	PUNCT
ejpam-5583	383	5	theory	theory	NOUN
ejpam-5583	383	6	and	and	CCONJ
ejpam-5583	383	7	applications	application	NOUN
ejpam-5583	383	8	to	to	ADP
ejpam-5583	383	9	boundary	boundary	ADJ
ejpam-5583	383	10	values	value	NOUN
ejpam-5583	383	11	problems	problem	NOUN
ejpam-5583	383	12	.	.	PUNCT
ejpam-5583	384	1	symmetry	symmetry	NOUN
ejpam-5583	384	2	,	,	PUNCT
ejpam-5583	384	3	15(4):921	15(4):921	NUM
ejpam-5583	384	4	,	,	PUNCT
ejpam-5583	384	5	2023	2023	NUM
ejpam-5583	384	6	.	.	PUNCT
ejpam-5583	385	1	[	[	X
ejpam-5583	385	2	21	21	NUM
ejpam-5583	385	3	]	]	X
ejpam-5583	385	4	jia	jia	PROPN
ejpam-5583	385	5	liu	liu	PROPN
ejpam-5583	385	6	,	,	PUNCT
ejpam-5583	385	7	muhammad	muhammad	PROPN
ejpam-5583	385	8	nadeem	nadeem	PROPN
ejpam-5583	385	9	,	,	PUNCT
ejpam-5583	385	10	mohamed	mohamed	PROPN
ejpam-5583	385	11	s	s	PROPN
ejpam-5583	385	12	osman	osman	PROPN
ejpam-5583	385	13	,	,	PUNCT
ejpam-5583	385	14	and	and	CCONJ
ejpam-5583	385	15	yazeed	yazeed	PROPN
ejpam-5583	385	16	alsayaad	alsayaad	PROPN
ejpam-5583	385	17	.	.	PUNCT
ejpam-5583	386	1	study	study	NOUN
ejpam-5583	386	2	of	of	ADP
ejpam-5583	386	3	multi	multi	ADJ
ejpam-5583	386	4	-	-	ADJ
ejpam-5583	386	5	dimensional	dimensional	ADJ
ejpam-5583	386	6	problems	problem	NOUN
ejpam-5583	386	7	arising	arise	VERB
ejpam-5583	386	8	in	in	ADP
ejpam-5583	386	9	wave	wave	NOUN
ejpam-5583	386	10	propagation	propagation	NOUN
ejpam-5583	386	11	using	use	VERB
ejpam-5583	386	12	a	a	DET
ejpam-5583	386	13	hybrid	hybrid	ADJ
ejpam-5583	386	14	scheme	scheme	NOUN
ejpam-5583	386	15	.	.	PUNCT
ejpam-5583	387	1	scientific	scientific	ADJ
ejpam-5583	387	2	reports	report	NOUN
ejpam-5583	387	3	,	,	PUNCT
ejpam-5583	387	4	14(1):5839	14(1):5839	NUM
ejpam-5583	387	5	,	,	PUNCT
ejpam-5583	387	6	2024	2024	NUM
ejpam-5583	387	7	.	.	PUNCT
ejpam-5583	388	1	[	[	X
ejpam-5583	388	2	22	22	NUM
ejpam-5583	388	3	]	]	X
ejpam-5583	388	4	rodica	rodica	PROPN
ejpam-5583	388	5	luca	luca	PROPN
ejpam-5583	388	6	.	.	PUNCT
ejpam-5583	389	1	advances	advance	NOUN
ejpam-5583	389	2	in	in	ADP
ejpam-5583	389	3	boundary	boundary	ADJ
ejpam-5583	389	4	value	value	NOUN
ejpam-5583	389	5	problems	problem	NOUN
ejpam-5583	389	6	for	for	ADP
ejpam-5583	389	7	fractional	fractional	ADJ
ejpam-5583	389	8	differential	differential	ADJ
ejpam-5583	389	9	equations	equation	NOUN
ejpam-5583	389	10	.	.	PUNCT
ejpam-5583	390	1	fractal	fractal	PROPN
ejpam-5583	390	2	and	and	CCONJ
ejpam-5583	390	3	fractional	fractional	ADJ
ejpam-5583	390	4	,	,	PUNCT
ejpam-5583	390	5	7(5):406	7(5):406	NUM
ejpam-5583	390	6	,	,	PUNCT
ejpam-5583	390	7	2023	2023	NUM
ejpam-5583	390	8	.	.	PUNCT
ejpam-5583	391	1	[	[	X
ejpam-5583	391	2	23	23	NUM
ejpam-5583	391	3	]	]	PUNCT
ejpam-5583	391	4	muhammad	muhammad	PROPN
ejpam-5583	391	5	nadeem	nadeem	PROPN
ejpam-5583	391	6	,	,	PUNCT
ejpam-5583	391	7	seyed	seyed	PROPN
ejpam-5583	391	8	abbas	abbas	PROPN
ejpam-5583	391	9	edalatpanah	edalatpanah	PROPN
ejpam-5583	391	10	,	,	PUNCT
ejpam-5583	391	11	iyad	iyad	PROPN
ejpam-5583	391	12	mahariq	mahariq	PROPN
ejpam-5583	391	13	,	,	PUNCT
ejpam-5583	391	14	and	and	CCONJ
ejpam-5583	391	15	waleed	waleed	PROPN
ejpam-5583	391	16	h	h	PROPN
ejpam-5583	391	17	f	f	PROPN
ejpam-5583	391	18	aly	aly	PROPN
ejpam-5583	391	19	.	.	PUNCT
ejpam-5583	392	1	analytical	analytical	ADJ
ejpam-5583	392	2	view	view	NOUN
ejpam-5583	392	3	of	of	ADP
ejpam-5583	392	4	nonlinear	nonlinear	ADJ
ejpam-5583	392	5	delay	delay	NOUN
ejpam-5583	392	6	differential	differential	NOUN
ejpam-5583	392	7	equations	equation	NOUN
ejpam-5583	392	8	using	use	VERB
ejpam-5583	392	9	sawi	sawi	ADJ
ejpam-5583	392	10	iterative	iterative	NOUN
ejpam-5583	392	11	scheme	scheme	NOUN
ejpam-5583	392	12	.	.	PUNCT
ejpam-5583	393	1	symmetry	symmetry	NOUN
ejpam-5583	393	2	,	,	PUNCT
ejpam-5583	393	3	14(11):2430	14(11):2430	NUM
ejpam-5583	393	4	,	,	PUNCT
ejpam-5583	393	5	2022	2022	NUM
ejpam-5583	393	6	.	.	PUNCT
ejpam-5583	394	1	[	[	X
ejpam-5583	394	2	24	24	NUM
ejpam-5583	394	3	]	]	PUNCT
ejpam-5583	394	4	dinkar	dinkar	PROPN
ejpam-5583	394	5	p.	p.	PROPN
ejpam-5583	394	6	patil	patil	PROPN
ejpam-5583	394	7	.	.	PUNCT
ejpam-5583	395	1	sawi	sawi	PROPN
ejpam-5583	395	2	transform	transform	NOUN
ejpam-5583	395	3	and	and	CCONJ
ejpam-5583	395	4	convolution	convolution	NOUN
ejpam-5583	395	5	theorem	theorem	NOUN
ejpam-5583	395	6	for	for	ADP
ejpam-5583	395	7	initial	initial	ADJ
ejpam-5583	395	8	boundary	boundary	ADJ
ejpam-5583	395	9	value	value	NOUN
ejpam-5583	395	10	problems	problem	NOUN
ejpam-5583	395	11	(	(	PUNCT
ejpam-5583	395	12	wave	wave	NOUN
ejpam-5583	395	13	equation	equation	NOUN
ejpam-5583	395	14	)	)	PUNCT
ejpam-5583	395	15	.	.	PUNCT
ejpam-5583	396	1	journal	journal	PROPN
ejpam-5583	396	2	of	of	ADP
ejpam-5583	396	3	research	research	NOUN
ejpam-5583	396	4	and	and	CCONJ
ejpam-5583	396	5	development	development	NOUN
ejpam-5583	396	6	,	,	PUNCT
ejpam-5583	396	7	11(14):133–136	11(14):133–136	NUM
ejpam-5583	396	8	,	,	PUNCT
ejpam-5583	396	9	2021	2021	NUM
ejpam-5583	396	10	.	.	PUNCT
ejpam-5583	397	1	[	[	X
ejpam-5583	397	2	25	25	NUM
ejpam-5583	397	3	]	]	PUNCT
ejpam-5583	397	4	dinkar	dinkar	PROPN
ejpam-5583	397	5	p.	p.	PROPN
ejpam-5583	397	6	patil	patil	PROPN
ejpam-5583	397	7	.	.	PUNCT
ejpam-5583	398	1	application	application	NOUN
ejpam-5583	398	2	of	of	ADP
ejpam-5583	398	3	sawi	sawi	ADJ
ejpam-5583	398	4	transform	transform	NOUN
ejpam-5583	398	5	of	of	ADP
ejpam-5583	398	6	error	error	NOUN
ejpam-5583	398	7	function	function	NOUN
ejpam-5583	398	8	in	in	ADP
ejpam-5583	398	9	evaluating	evaluate	VERB
ejpam-5583	398	10	improper	improper	ADJ
ejpam-5583	398	11	integral	integral	ADJ
ejpam-5583	398	12	.	.	PUNCT
ejpam-5583	399	1	journal	journal	PROPN
ejpam-5583	399	2	of	of	ADP
ejpam-5583	399	3	research	research	NOUN
ejpam-5583	399	4	and	and	CCONJ
ejpam-5583	399	5	development	development	NOUN
ejpam-5583	399	6	,	,	PUNCT
ejpam-5583	399	7	11(2	11(2	NOUN
ejpam-5583	399	8	)	)	PUNCT
ejpam-5583	399	9	,	,	PUNCT
ejpam-5583	399	10	2022	2022	NUM
ejpam-5583	399	11	.	.	PUNCT
ejpam-5583	400	1	[	[	X
ejpam-5583	400	2	26	26	NUM
ejpam-5583	400	3	]	]	X
ejpam-5583	400	4	tariq	tariq	NOUN
ejpam-5583	400	5	qawasmeh	qawasmeh	NOUN
ejpam-5583	400	6	,	,	PUNCT
ejpam-5583	400	7	ahmad	ahmad	PROPN
ejpam-5583	400	8	qazza	qazza	PROPN
ejpam-5583	400	9	,	,	PUNCT
ejpam-5583	400	10	raed	raed	PROPN
ejpam-5583	400	11	hatamleh	hatamleh	PROPN
ejpam-5583	400	12	,	,	PUNCT
ejpam-5583	400	13	mohammad	mohammad	PROPN
ejpam-5583	400	14	w	w	PROPN
ejpam-5583	400	15	alomari	alomari	PROPN
ejpam-5583	400	16	,	,	PUNCT
ejpam-5583	400	17	and	and	CCONJ
ejpam-5583	400	18	rania	rania	PROPN
ejpam-5583	400	19	saadeh	saadeh	PROPN
ejpam-5583	400	20	.	.	PUNCT
ejpam-5583	401	1	further	further	ADJ
ejpam-5583	401	2	accurate	accurate	PROPN
ejpam-5583	401	3	numerical	numerical	PROPN
ejpam-5583	401	4	radius	radius	PROPN
ejpam-5583	401	5	inequalities	inequality	NOUN
ejpam-5583	401	6	.	.	PUNCT
ejpam-5583	402	1	axioms	axiom	NOUN
ejpam-5583	402	2	,	,	PUNCT
ejpam-5583	402	3	12(8):801	12(8):801	NOUN
ejpam-5583	402	4	,	,	PUNCT
ejpam-5583	402	5	2023	2023	NUM
ejpam-5583	402	6	.	.	PUNCT
ejpam-5583	403	1	[	[	X
ejpam-5583	403	2	27	27	NUM
ejpam-5583	403	3	]	]	X
ejpam-5583	403	4	samer	samer	PROPN
ejpam-5583	403	5	rabie	rabie	PROPN
ejpam-5583	403	6	,	,	PUNCT
ejpam-5583	403	7	bassam	bassam	PROPN
ejpam-5583	403	8	n	n	PROPN
ejpam-5583	403	9	kharrat	kharrat	PROPN
ejpam-5583	403	10	,	,	PUNCT
ejpam-5583	403	11	ghayth	ghayth	NOUN
ejpam-5583	403	12	joujeh	joujeh	NOUN
ejpam-5583	403	13	,	,	PUNCT
ejpam-5583	403	14	and	and	CCONJ
ejpam-5583	403	15	amer	amer	PROPN
ejpam-5583	403	16	a	a	DET
ejpam-5583	403	17	joukhadar	joukhadar	PROPN
ejpam-5583	403	18	.	.	PUNCT
ejpam-5583	404	1	a	a	DET
ejpam-5583	404	2	new	new	ADJ
ejpam-5583	404	3	approach	approach	NOUN
ejpam-5583	404	4	for	for	ADP
ejpam-5583	404	5	solving	solve	VERB
ejpam-5583	404	6	boundary	boundary	ADJ
ejpam-5583	404	7	and	and	CCONJ
ejpam-5583	404	8	initial	initial	ADJ
ejpam-5583	404	9	value	value	NOUN
ejpam-5583	404	10	problems	problem	NOUN
ejpam-5583	404	11	by	by	ADP
ejpam-5583	404	12	coupling	couple	VERB
ejpam-5583	404	13	the	the	DET
ejpam-5583	404	14	he	he	PRON
ejpam-5583	404	15	method	method	NOUN
ejpam-5583	404	16	and	and	CCONJ
ejpam-5583	404	17	sawi	sawi	ADJ
ejpam-5583	404	18	transform	transform	NOUN
ejpam-5583	404	19	.	.	PUNCT
ejpam-5583	405	1	phys	phy	NOUN
ejpam-5583	405	2	astron	astron	PROPN
ejpam-5583	405	3	int	int	PROPN
ejpam-5583	405	4	j	j	PROPN
ejpam-5583	405	5	,	,	PUNCT
ejpam-5583	405	6	7(2):141–144	7(2):141–144	NUM
ejpam-5583	405	7	,	,	PUNCT
ejpam-5583	405	8	2023	2023	NUM
ejpam-5583	405	9	.	.	PUNCT
ejpam-5583	406	1	r.	r.	PROPN
ejpam-5583	406	2	saadeh	saadeh	PROPN
ejpam-5583	406	3	,	,	PUNCT
ejpam-5583	406	4	a.	a.	PROPN
ejpam-5583	406	5	al	al	PROPN
ejpam-5583	406	6	-	-	PUNCT
ejpam-5583	406	7	wadi	wadi	PROPN
ejpam-5583	406	8	,	,	PUNCT
ejpam-5583	406	9	a.	a.	NOUN
ejpam-5583	406	10	qazza	qazza	PROPN
ejpam-5583	406	11	/	/	SYM
ejpam-5583	406	12	eur	eur	PROPN
ejpam-5583	406	13	.	.	PUNCT
ejpam-5583	407	1	j.	j.	PROPN
ejpam-5583	407	2	pure	pure	PROPN
ejpam-5583	407	3	appl	appl	PROPN
ejpam-5583	407	4	.	.	PROPN
ejpam-5583	407	5	math	math	PROPN
ejpam-5583	407	6	,	,	PUNCT
ejpam-5583	407	7	18	18	NUM
ejpam-5583	407	8	(	(	PUNCT
ejpam-5583	407	9	1	1	NUM
ejpam-5583	407	10	)	)	PUNCT
ejpam-5583	407	11	(	(	PUNCT
ejpam-5583	407	12	2025	2025	NUM
ejpam-5583	407	13	)	)	PUNCT
ejpam-5583	407	14	,	,	PUNCT
ejpam-5583	407	15	5583	5583	NUM
ejpam-5583	407	16	16	16	NUM
ejpam-5583	407	17	of	of	ADP
ejpam-5583	407	18	16	16	NUM
ejpam-5583	407	19	[	[	X
ejpam-5583	407	20	28	28	NUM
ejpam-5583	407	21	]	]	X
ejpam-5583	407	22	rania	rania	PROPN
ejpam-5583	407	23	saadeh	saadeh	PROPN
ejpam-5583	407	24	,	,	PUNCT
ejpam-5583	407	25	abderrahmane	abderrahmane	PROPN
ejpam-5583	407	26	abbes	abbe	NOUN
ejpam-5583	407	27	,	,	PUNCT
ejpam-5583	407	28	abdallah	abdallah	PROPN
ejpam-5583	407	29	al	al	PROPN
ejpam-5583	407	30	-	-	PUNCT
ejpam-5583	407	31	husban	husban	PROPN
ejpam-5583	407	32	,	,	PUNCT
ejpam-5583	407	33	adel	adel	PROPN
ejpam-5583	407	34	ouannas	ouanna	NOUN
ejpam-5583	407	35	,	,	PUNCT
ejpam-5583	407	36	and	and	CCONJ
ejpam-5583	407	37	giuseppe	giuseppe	PROPN
ejpam-5583	407	38	grassi	grassi	PROPN
ejpam-5583	407	39	.	.	PUNCT
ejpam-5583	408	1	the	the	DET
ejpam-5583	408	2	fractional	fractional	ADJ
ejpam-5583	408	3	discrete	discrete	ADJ
ejpam-5583	408	4	predator	predator	NOUN
ejpam-5583	408	5	–	–	PUNCT
ejpam-5583	408	6	prey	prey	PROPN
ejpam-5583	408	7	model	model	NOUN
ejpam-5583	408	8	:	:	PUNCT
ejpam-5583	408	9	chaos	chaos	NOUN
ejpam-5583	408	10	,	,	PUNCT
ejpam-5583	408	11	control	control	NOUN
ejpam-5583	408	12	and	and	CCONJ
ejpam-5583	408	13	synchronization	synchronization	NOUN
ejpam-5583	408	14	.	.	PUNCT
ejpam-5583	409	1	fractal	fractal	ADJ
ejpam-5583	409	2	and	and	CCONJ
ejpam-5583	409	3	fractional	fractional	ADJ
ejpam-5583	409	4	,	,	PUNCT
ejpam-5583	409	5	7(2):120	7(2):120	NUM
ejpam-5583	409	6	,	,	PUNCT
ejpam-5583	409	7	2023	2023	NUM
ejpam-5583	409	8	.	.	PUNCT
ejpam-5583	410	1	[	[	X
ejpam-5583	410	2	29	29	NUM
ejpam-5583	410	3	]	]	X
ejpam-5583	410	4	rania	rania	PROPN
ejpam-5583	410	5	saadeh	saadeh	PROPN
ejpam-5583	410	6	,	,	PUNCT
ejpam-5583	410	7	mohammad	mohammad	PROPN
ejpam-5583	410	8	abu	abu	PROPN
ejpam-5583	410	9	-	-	PUNCT
ejpam-5583	410	10	ghuwaleh	ghuwaleh	PROPN
ejpam-5583	410	11	,	,	PUNCT
ejpam-5583	410	12	ahmad	ahmad	PROPN
ejpam-5583	410	13	qazza	qazza	PROPN
ejpam-5583	410	14	,	,	PUNCT
ejpam-5583	410	15	and	and	CCONJ
ejpam-5583	410	16	emad	emad	PROPN
ejpam-5583	410	17	kuffi	kuffi	PROPN
ejpam-5583	410	18	.	.	PUNCT
ejpam-5583	411	1	a	a	DET
ejpam-5583	411	2	fundamental	fundamental	ADJ
ejpam-5583	411	3	criteria	criterion	NOUN
ejpam-5583	411	4	to	to	PART
ejpam-5583	411	5	establish	establish	VERB
ejpam-5583	411	6	general	general	ADJ
ejpam-5583	411	7	formulas	formula	NOUN
ejpam-5583	411	8	of	of	ADP
ejpam-5583	411	9	integrals	integral	NOUN
ejpam-5583	411	10	.	.	PUNCT
ejpam-5583	412	1	journal	journal	NOUN
ejpam-5583	412	2	of	of	ADP
ejpam-5583	412	3	applied	apply	VERB
ejpam-5583	412	4	mathematics	mathematic	NOUN
ejpam-5583	412	5	,	,	PUNCT
ejpam-5583	412	6	2022:16	2022:16	NOUN
ejpam-5583	412	7	,	,	PUNCT
ejpam-5583	412	8	2022	2022	NUM
ejpam-5583	412	9	.	.	PUNCT
ejpam-5583	413	1	[	[	X
ejpam-5583	413	2	30	30	NUM
ejpam-5583	413	3	]	]	X
ejpam-5583	413	4	rania	rania	PROPN
ejpam-5583	413	5	saadeh	saadeh	PROPN
ejpam-5583	413	6	,	,	PUNCT
ejpam-5583	413	7	osama	osama	PROPN
ejpam-5583	413	8	ala’yed	ala’ye	VERB
ejpam-5583	413	9	,	,	PUNCT
ejpam-5583	413	10	and	and	CCONJ
ejpam-5583	413	11	ahmad	ahmad	PROPN
ejpam-5583	413	12	qazza	qazza	PROPN
ejpam-5583	413	13	.	.	PUNCT
ejpam-5583	414	1	analytical	analytical	ADJ
ejpam-5583	414	2	solution	solution	NOUN
ejpam-5583	414	3	of	of	ADP
ejpam-5583	414	4	coupled	couple	VERB
ejpam-5583	414	5	hirota	hirota	PROPN
ejpam-5583	414	6	–	–	PUNCT
ejpam-5583	414	7	satsuma	satsuma	NOUN
ejpam-5583	414	8	and	and	CCONJ
ejpam-5583	414	9	kdv	kdv	PROPN
ejpam-5583	414	10	equations	equation	NOUN
ejpam-5583	414	11	.	.	PUNCT
ejpam-5583	415	1	fractal	fractal	PROPN
ejpam-5583	415	2	and	and	CCONJ
ejpam-5583	415	3	fractional	fractional	ADJ
ejpam-5583	415	4	,	,	PUNCT
ejpam-5583	415	5	6(12):694	6(12):694	NUM
ejpam-5583	415	6	,	,	PUNCT
ejpam-5583	415	7	2022	2022	NUM
ejpam-5583	415	8	.	.	PUNCT
ejpam-5583	416	1	[	[	X
ejpam-5583	416	2	31	31	NUM
ejpam-5583	416	3	]	]	X
ejpam-5583	416	4	peter	peter	PROPN
ejpam-5583	416	5	j	j	PROPN
ejpam-5583	416	6	m	m	PROPN
ejpam-5583	416	7	sonnemans	sonnemans	PROPN
ejpam-5583	416	8	,	,	PUNCT
ejpam-5583	416	9	l	l	PROPN
ejpam-5583	416	10	p	p	PROPN
ejpam-5583	416	11	h	h	X
ejpam-5583	416	12	de	de	X
ejpam-5583	416	13	goey	goey	PROPN
ejpam-5583	416	14	,	,	PUNCT
ejpam-5583	416	15	and	and	CCONJ
ejpam-5583	416	16	j	j	PROPN
ejpam-5583	416	17	k	k	PROPN
ejpam-5583	416	18	nieuwenhuizen	nieuwenhuizen	PROPN
ejpam-5583	416	19	.	.	PUNCT
ejpam-5583	417	1	optimal	optimal	ADJ
ejpam-5583	417	2	use	use	NOUN
ejpam-5583	417	3	of	of	ADP
ejpam-5583	417	4	a	a	DET
ejpam-5583	417	5	numerical	numerical	ADJ
ejpam-5583	417	6	method	method	NOUN
ejpam-5583	417	7	for	for	ADP
ejpam-5583	417	8	solving	solve	VERB
ejpam-5583	417	9	differential	differential	ADJ
ejpam-5583	417	10	equations	equation	NOUN
ejpam-5583	417	11	based	base	VERB
ejpam-5583	417	12	on	on	ADP
ejpam-5583	417	13	taylor	taylor	PROPN
ejpam-5583	417	14	series	series	PROPN
ejpam-5583	417	15	expansions	expansion	NOUN
ejpam-5583	417	16	.	.	PUNCT
ejpam-5583	418	1	international	international	ADJ
ejpam-5583	418	2	journal	journal	PROPN
ejpam-5583	418	3	for	for	ADP
ejpam-5583	418	4	numerical	numerical	ADJ
ejpam-5583	418	5	methods	method	NOUN
ejpam-5583	418	6	in	in	ADP
ejpam-5583	418	7	engineering	engineering	NOUN
ejpam-5583	418	8	,	,	PUNCT
ejpam-5583	418	9	32(3):471–499	32(3):471–499	NUM
ejpam-5583	418	10	,	,	PUNCT
ejpam-5583	418	11	1991	1991	NUM
ejpam-5583	418	12	.	.	PUNCT