id	sid	tid	token	lemma	pos
ejpam-5005	1	1	european	european	PROPN
ejpam-5005	1	2	journal	journal	PROPN
ejpam-5005	1	3	of	of	ADP
ejpam-5005	1	4	pure	pure	ADJ
ejpam-5005	1	5	and	and	CCONJ
ejpam-5005	1	6	applied	apply	VERB
ejpam-5005	1	7	mathematics	mathematic	NOUN
ejpam-5005	1	8	vol	vol	NOUN
ejpam-5005	1	9	.	.	PROPN
ejpam-5005	2	1	17	17	NUM
ejpam-5005	2	2	,	,	PUNCT
ejpam-5005	2	3	no	no	INTJ
ejpam-5005	2	4	.	.	NOUN
ejpam-5005	2	5	1	1	NUM
ejpam-5005	2	6	,	,	PUNCT
ejpam-5005	2	7	2024	2024	NUM
ejpam-5005	2	8	,	,	PUNCT
ejpam-5005	2	9	385	385	NUM
ejpam-5005	2	10	-	-	SYM
ejpam-5005	2	11	409	409	NUM
ejpam-5005	2	12	issn	issn	PROPN
ejpam-5005	2	13	1307	1307	NUM
ejpam-5005	2	14	-	-	SYM
ejpam-5005	2	15	5543	5543	NUM
ejpam-5005	2	16	–	–	PUNCT
ejpam-5005	2	17	ejpam.com	ejpam.com	X
ejpam-5005	2	18	published	publish	VERB
ejpam-5005	2	19	by	by	ADP
ejpam-5005	2	20	new	new	PROPN
ejpam-5005	2	21	york	york	PROPN
ejpam-5005	2	22	business	business	PROPN
ejpam-5005	2	23	global	global	PROPN
ejpam-5005	2	24	the	the	DET
ejpam-5005	2	25	mohanad	mohanad	NOUN
ejpam-5005	2	26	transforms	transform	VERB
ejpam-5005	2	27	and	and	CCONJ
ejpam-5005	2	28	their	their	PRON
ejpam-5005	2	29	applications	application	NOUN
ejpam-5005	2	30	for	for	ADP
ejpam-5005	2	31	solving	solve	VERB
ejpam-5005	2	32	systems	system	NOUN
ejpam-5005	2	33	of	of	ADP
ejpam-5005	2	34	differential	differential	ADJ
ejpam-5005	2	35	equations	equation	NOUN
ejpam-5005	2	36	rania	rania	PROPN
ejpam-5005	2	37	saadeh1	saadeh1	PROPN
ejpam-5005	2	38	,	,	PUNCT
ejpam-5005	2	39	al	al	PROPN
ejpam-5005	2	40	-	-	PUNCT
ejpam-5005	2	41	anoud	anoud	NOUN
ejpam-5005	2	42	alshawabkeh1,raed	alshawabkeh1,raed	X
ejpam-5005	2	43	khalil2	khalil2	PROPN
ejpam-5005	2	44	,	,	PUNCT
ejpam-5005	2	45	mohamed	mohamed	PROPN
ejpam-5005	2	46	a.	a.	PROPN
ejpam-5005	2	47	abdoon3,4	abdoon3,4	PROPN
ejpam-5005	2	48	,	,	PUNCT
ejpam-5005	2	49	nidal	nidal	PROPN
ejpam-5005	2	50	e.	e.	PROPN
ejpam-5005	2	51	taha5	taha5	PROPN
ejpam-5005	2	52	,	,	PUNCT
ejpam-5005	2	53	dalal	dalal	PROPN
ejpam-5005	2	54	khalid	khalid	PROPN
ejpam-5005	2	55	almutairi6,∗	almutairi6,∗	PROPN
ejpam-5005	2	56	1	1	NUM
ejpam-5005	2	57	department	department	NOUN
ejpam-5005	2	58	of	of	ADP
ejpam-5005	2	59	mathematics	mathematic	NOUN
ejpam-5005	2	60	,	,	PUNCT
ejpam-5005	2	61	faculty	faculty	NOUN
ejpam-5005	2	62	of	of	ADP
ejpam-5005	2	63	science	science	NOUN
ejpam-5005	2	64	,	,	PUNCT
ejpam-5005	2	65	jordan	jordan	PROPN
ejpam-5005	2	66	,	,	PUNCT
ejpam-5005	2	67	zarqa	zarqa	PROPN
ejpam-5005	2	68	university	university	PROPN
ejpam-5005	2	69	,	,	PUNCT
ejpam-5005	2	70	zarqa	zarqa	PROPN
ejpam-5005	2	71	13110	13110	NUM
ejpam-5005	2	72	,	,	PUNCT
ejpam-5005	2	73	jordan	jordan	PROPN
ejpam-5005	2	74	2	2	NUM
ejpam-5005	2	75	faculty	faculty	NOUN
ejpam-5005	2	76	of	of	ADP
ejpam-5005	2	77	computer	computer	NOUN
ejpam-5005	2	78	information	information	NOUN
ejpam-5005	2	79	,	,	PUNCT
ejpam-5005	2	80	salt	salt	NOUN
ejpam-5005	2	81	19117	19117	NUM
ejpam-5005	2	82	,	,	PUNCT
ejpam-5005	2	83	al	al	PROPN
ejpam-5005	2	84	-	-	PUNCT
ejpam-5005	2	85	balqa	balqa	NOUN
ejpam-5005	2	86	’	'	PUNCT
ejpam-5005	2	87	applied	apply	VERB
ejpam-5005	2	88	university	university	NOUN
ejpam-5005	2	89	,	,	PUNCT
ejpam-5005	2	90	salt	salt	NOUN
ejpam-5005	2	91	19117	19117	NUM
ejpam-5005	2	92	,	,	PUNCT
ejpam-5005	2	93	jordan	jordan	PROPN
ejpam-5005	2	94	3	3	NUM
ejpam-5005	2	95	department	department	PROPN
ejpam-5005	2	96	of	of	ADP
ejpam-5005	2	97	basic	basic	ADJ
ejpam-5005	2	98	sciences	science	NOUN
ejpam-5005	2	99	,	,	PUNCT
ejpam-5005	2	100	common	common	ADJ
ejpam-5005	2	101	first	first	ADJ
ejpam-5005	2	102	year	year	NOUN
ejpam-5005	2	103	deanship	deanship	NOUN
ejpam-5005	2	104	,	,	PUNCT
ejpam-5005	2	105	king	king	PROPN
ejpam-5005	2	106	saud	saud	PROPN
ejpam-5005	2	107	university	university	PROPN
ejpam-5005	2	108	,	,	PUNCT
ejpam-5005	2	109	riyadh	riyadh	PROPN
ejpam-5005	2	110	12373	12373	NUM
ejpam-5005	2	111	,	,	PUNCT
ejpam-5005	2	112	saudi	saudi	PROPN
ejpam-5005	2	113	arabia	arabia	PROPN
ejpam-5005	2	114	4	4	NUM
ejpam-5005	2	115	department	department	NOUN
ejpam-5005	2	116	of	of	ADP
ejpam-5005	2	117	mathematics	mathematic	NOUN
ejpam-5005	2	118	,	,	PUNCT
ejpam-5005	2	119	faculty	faculty	NOUN
ejpam-5005	2	120	of	of	ADP
ejpam-5005	2	121	science	science	NOUN
ejpam-5005	2	122	,	,	PUNCT
ejpam-5005	2	123	bakht	bakht	PROPN
ejpam-5005	2	124	al	al	PROPN
ejpam-5005	2	125	-	-	PUNCT
ejpam-5005	2	126	ruda	ruda	PROPN
ejpam-5005	2	127	university	university	PROPN
ejpam-5005	2	128	,	,	PUNCT
ejpam-5005	2	129	duwaym	duwaym	NOUN
ejpam-5005	2	130	28812	28812	NUM
ejpam-5005	2	131	,	,	PUNCT
ejpam-5005	2	132	sudan	sudan	PROPN
ejpam-5005	2	133	5	5	NUM
ejpam-5005	2	134	department	department	NOUN
ejpam-5005	2	135	of	of	ADP
ejpam-5005	2	136	mathematics	mathematic	NOUN
ejpam-5005	2	137	,	,	PUNCT
ejpam-5005	2	138	faculty	faculty	NOUN
ejpam-5005	2	139	of	of	ADP
ejpam-5005	2	140	science	science	NOUN
ejpam-5005	2	141	arts	art	NOUN
ejpam-5005	2	142	(	(	PUNCT
ejpam-5005	2	143	dhariah	dhariah	PROPN
ejpam-5005	2	144	)	)	PUNCT
ejpam-5005	2	145	,	,	PUNCT
ejpam-5005	2	146	qassim	qassim	PROPN
ejpam-5005	2	147	university	university	PROPN
ejpam-5005	2	148	,	,	PUNCT
ejpam-5005	2	149	qassim	qassim	NOUN
ejpam-5005	2	150	,	,	PUNCT
ejpam-5005	2	151	ksa	ksa	PROPN
ejpam-5005	2	152	6	6	NUM
ejpam-5005	2	153	department	department	NOUN
ejpam-5005	2	154	of	of	ADP
ejpam-5005	2	155	mathematics	mathematic	NOUN
ejpam-5005	2	156	,	,	PUNCT
ejpam-5005	2	157	college	college	NOUN
ejpam-5005	2	158	of	of	ADP
ejpam-5005	2	159	education	education	NOUN
ejpam-5005	2	160	(	(	PUNCT
ejpam-5005	2	161	majmaah	majmaah	PROPN
ejpam-5005	2	162	)	)	PUNCT
ejpam-5005	2	163	,	,	PUNCT
ejpam-5005	2	164	majmaah	majmaah	PROPN
ejpam-5005	2	165	university	university	PROPN
ejpam-5005	2	166	,	,	PUNCT
ejpam-5005	2	167	p.o.box	p.o.box	PROPN
ejpam-5005	2	168	66	66	NUM
ejpam-5005	2	169	,	,	PUNCT
ejpam-5005	2	170	al-5	al-5	PRON
ejpam-5005	2	171	majmaah	majmaah	NOUN
ejpam-5005	2	172	,	,	PUNCT
ejpam-5005	2	173	11952	11952	NUM
ejpam-5005	2	174	,	,	PUNCT
ejpam-5005	2	175	saudi	saudi	PROPN
ejpam-5005	2	176	arabia	arabia	PROPN
ejpam-5005	2	177	abstract	abstract	NOUN
ejpam-5005	2	178	.	.	PUNCT
ejpam-5005	3	1	in	in	ADP
ejpam-5005	3	2	recent	recent	ADJ
ejpam-5005	3	3	years	year	NOUN
ejpam-5005	3	4	,	,	PUNCT
ejpam-5005	3	5	mohanad	mohanad	PROPN
ejpam-5005	3	6	transform	transform	NOUN
ejpam-5005	3	7	,	,	PUNCT
ejpam-5005	3	8	a	a	DET
ejpam-5005	3	9	mathematical	mathematical	ADJ
ejpam-5005	3	10	approach	approach	NOUN
ejpam-5005	3	11	,	,	PUNCT
ejpam-5005	3	12	has	have	AUX
ejpam-5005	3	13	drawn	draw	VERB
ejpam-5005	3	14	a	a	DET
ejpam-5005	3	15	lot	lot	NOUN
ejpam-5005	3	16	of	of	ADP
ejpam-5005	3	17	interest	interest	NOUN
ejpam-5005	3	18	from	from	ADP
ejpam-5005	3	19	researchers	researcher	NOUN
ejpam-5005	3	20	.	.	PUNCT
ejpam-5005	4	1	it	it	PRON
ejpam-5005	4	2	is	be	AUX
ejpam-5005	4	3	useful	useful	ADJ
ejpam-5005	4	4	for	for	ADP
ejpam-5005	4	5	solving	solve	VERB
ejpam-5005	4	6	many	many	ADJ
ejpam-5005	4	7	engineering	engineering	NOUN
ejpam-5005	4	8	and	and	CCONJ
ejpam-5005	4	9	scientific	scientific	ADJ
ejpam-5005	4	10	problems	problem	NOUN
ejpam-5005	4	11	,	,	PUNCT
ejpam-5005	4	12	such	such	ADJ
ejpam-5005	4	13	as	as	ADP
ejpam-5005	4	14	those	those	PRON
ejpam-5005	4	15	involving	involve	VERB
ejpam-5005	4	16	electric	electric	ADJ
ejpam-5005	4	17	circuits	circuit	NOUN
ejpam-5005	4	18	,	,	PUNCT
ejpam-5005	4	19	population	population	NOUN
ejpam-5005	4	20	growth	growth	NOUN
ejpam-5005	4	21	,	,	PUNCT
ejpam-5005	4	22	vibrational	vibrational	ADJ
ejpam-5005	4	23	beams	beam	NOUN
ejpam-5005	4	24	,	,	PUNCT
ejpam-5005	4	25	and	and	CCONJ
ejpam-5005	4	26	heat	heat	NOUN
ejpam-5005	4	27	conduction	conduction	NOUN
ejpam-5005	4	28	.	.	PUNCT
ejpam-5005	5	1	the	the	DET
ejpam-5005	5	2	mohanad	mohanad	ADJ
ejpam-5005	5	3	transform	transform	NOUN
ejpam-5005	5	4	is	be	AUX
ejpam-5005	5	5	defined	define	VERB
ejpam-5005	5	6	and	and	CCONJ
ejpam-5005	5	7	introduced	introduce	VERB
ejpam-5005	5	8	in	in	ADP
ejpam-5005	5	9	this	this	DET
ejpam-5005	5	10	study	study	NOUN
ejpam-5005	5	11	,	,	PUNCT
ejpam-5005	5	12	along	along	ADP
ejpam-5005	5	13	with	with	ADP
ejpam-5005	5	14	its	its	PRON
ejpam-5005	5	15	fundamental	fundamental	ADJ
ejpam-5005	5	16	qualities	quality	NOUN
ejpam-5005	5	17	,	,	PUNCT
ejpam-5005	5	18	including	include	VERB
ejpam-5005	5	19	linearity	linearity	NOUN
ejpam-5005	5	20	and	and	CCONJ
ejpam-5005	5	21	convolution	convolution	NOUN
ejpam-5005	5	22	.	.	PUNCT
ejpam-5005	6	1	it	it	PRON
ejpam-5005	6	2	is	be	AUX
ejpam-5005	6	3	also	also	ADV
ejpam-5005	6	4	discussed	discuss	VERB
ejpam-5005	6	5	in	in	ADP
ejpam-5005	6	6	connection	connection	NOUN
ejpam-5005	6	7	with	with	ADP
ejpam-5005	6	8	other	other	ADJ
ejpam-5005	6	9	integral	integral	ADJ
ejpam-5005	6	10	transforms	transform	NOUN
ejpam-5005	6	11	and	and	CCONJ
ejpam-5005	6	12	how	how	SCONJ
ejpam-5005	6	13	it	it	PRON
ejpam-5005	6	14	is	be	AUX
ejpam-5005	6	15	used	use	VERB
ejpam-5005	6	16	in	in	ADP
ejpam-5005	6	17	derivatives	derivative	NOUN
ejpam-5005	6	18	.	.	PUNCT
ejpam-5005	7	1	additionally	additionally	ADV
ejpam-5005	7	2	,	,	PUNCT
ejpam-5005	7	3	we	we	PRON
ejpam-5005	7	4	use	use	VERB
ejpam-5005	7	5	the	the	DET
ejpam-5005	7	6	mohanad	mohanad	ADJ
ejpam-5005	7	7	transform	transform	NOUN
ejpam-5005	7	8	to	to	PART
ejpam-5005	7	9	solve	solve	VERB
ejpam-5005	7	10	a	a	DET
ejpam-5005	7	11	few	few	ADJ
ejpam-5005	7	12	systems	system	NOUN
ejpam-5005	7	13	of	of	ADP
ejpam-5005	7	14	ordinary	ordinary	ADJ
ejpam-5005	7	15	differential	differential	ADJ
ejpam-5005	7	16	equations	equation	NOUN
ejpam-5005	7	17	(	(	PUNCT
ejpam-5005	7	18	odes	ode	NOUN
ejpam-5005	7	19	)	)	PUNCT
ejpam-5005	7	20	and	and	CCONJ
ejpam-5005	7	21	review	review	VERB
ejpam-5005	7	22	its	its	PRON
ejpam-5005	7	23	properties	property	NOUN
ejpam-5005	7	24	in	in	ADP
ejpam-5005	7	25	this	this	DET
ejpam-5005	7	26	paper	paper	NOUN
ejpam-5005	7	27	.	.	PUNCT
ejpam-5005	8	1	determining	determine	VERB
ejpam-5005	8	2	the	the	DET
ejpam-5005	8	3	concentration	concentration	NOUN
ejpam-5005	8	4	of	of	ADP
ejpam-5005	8	5	a	a	DET
ejpam-5005	8	6	chemical	chemical	ADJ
ejpam-5005	8	7	reactant	reactant	NOUN
ejpam-5005	8	8	(	(	PUNCT
ejpam-5005	8	9	material	material	NOUN
ejpam-5005	8	10	)	)	PUNCT
ejpam-5005	8	11	in	in	ADP
ejpam-5005	8	12	a	a	DET
ejpam-5005	8	13	series	series	NOUN
ejpam-5005	8	14	is	be	AUX
ejpam-5005	8	15	a	a	DET
ejpam-5005	8	16	physical	physical	ADJ
ejpam-5005	8	17	chemistry	chemistry	NOUN
ejpam-5005	8	18	problem	problem	NOUN
ejpam-5005	8	19	that	that	PRON
ejpam-5005	8	20	we	we	PRON
ejpam-5005	8	21	use	use	VERB
ejpam-5005	8	22	in	in	ADP
ejpam-5005	8	23	the	the	DET
ejpam-5005	8	24	application	application	NOUN
ejpam-5005	8	25	part	part	NOUN
ejpam-5005	8	26	.	.	PUNCT
ejpam-5005	9	1	we	we	PRON
ejpam-5005	9	2	achieve	achieve	VERB
ejpam-5005	9	3	this	this	PRON
ejpam-5005	9	4	by	by	ADP
ejpam-5005	9	5	developing	develop	VERB
ejpam-5005	9	6	a	a	DET
ejpam-5005	9	7	model	model	NOUN
ejpam-5005	9	8	based	base	VERB
ejpam-5005	9	9	on	on	ADP
ejpam-5005	9	10	ordinary	ordinary	ADJ
ejpam-5005	9	11	differential	differential	ADJ
ejpam-5005	9	12	equations	equation	NOUN
ejpam-5005	9	13	(	(	PUNCT
ejpam-5005	9	14	odes	ode	NOUN
ejpam-5005	9	15	)	)	PUNCT
ejpam-5005	9	16	and	and	CCONJ
ejpam-5005	9	17	then	then	ADV
ejpam-5005	9	18	solving	solve	VERB
ejpam-5005	9	19	them	they	PRON
ejpam-5005	9	20	using	use	VERB
ejpam-5005	9	21	the	the	DET
ejpam-5005	9	22	mohanad	mohanad	ADJ
ejpam-5005	9	23	transform	transform	NOUN
ejpam-5005	9	24	.	.	PUNCT
ejpam-5005	10	1	this	this	DET
ejpam-5005	10	2	research	research	NOUN
ejpam-5005	10	3	proves	prove	VERB
ejpam-5005	10	4	that	that	SCONJ
ejpam-5005	10	5	,	,	PUNCT
ejpam-5005	10	6	with	with	ADP
ejpam-5005	10	7	little	little	ADJ
ejpam-5005	10	8	computational	computational	ADJ
ejpam-5005	10	9	effort	effort	NOUN
ejpam-5005	10	10	,	,	PUNCT
ejpam-5005	10	11	we	we	PRON
ejpam-5005	10	12	can	can	AUX
ejpam-5005	10	13	get	get	VERB
ejpam-5005	10	14	the	the	DET
ejpam-5005	10	15	exact	exact	ADJ
ejpam-5005	10	16	solutions	solution	NOUN
ejpam-5005	10	17	of	of	ADP
ejpam-5005	10	18	ordinary	ordinary	ADJ
ejpam-5005	10	19	differential	differential	ADJ
ejpam-5005	10	20	equations	equation	NOUN
ejpam-5005	10	21	(	(	PUNCT
ejpam-5005	10	22	odes	ode	NOUN
ejpam-5005	10	23	)	)	PUNCT
ejpam-5005	10	24	via	via	ADP
ejpam-5005	10	25	the	the	DET
ejpam-5005	10	26	mohanad	mohanad	ADJ
ejpam-5005	10	27	transform	transform	NOUN
ejpam-5005	10	28	.	.	PUNCT
ejpam-5005	11	1	we	we	PRON
ejpam-5005	11	2	used	use	VERB
ejpam-5005	11	3	graphs	graph	NOUN
ejpam-5005	11	4	and	and	CCONJ
ejpam-5005	11	5	tables	table	NOUN
ejpam-5005	11	6	to	to	PART
ejpam-5005	11	7	show	show	VERB
ejpam-5005	11	8	our	our	PRON
ejpam-5005	11	9	answer	answer	NOUN
ejpam-5005	11	10	.	.	PUNCT
ejpam-5005	12	1	2020	2020	NUM
ejpam-5005	12	2	mathematics	mathematic	NOUN
ejpam-5005	12	3	subject	subject	NOUN
ejpam-5005	12	4	classifications	classification	NOUN
ejpam-5005	12	5	:	:	PUNCT
ejpam-5005	12	6	97m40	97m40	NUM
ejpam-5005	12	7	key	key	ADJ
ejpam-5005	12	8	words	word	NOUN
ejpam-5005	12	9	and	and	CCONJ
ejpam-5005	12	10	phrases	phrase	NOUN
ejpam-5005	12	11	:	:	PUNCT
ejpam-5005	12	12	mohanad	mohanad	PROPN
ejpam-5005	12	13	transform	transform	NOUN
ejpam-5005	12	14	,	,	PUNCT
ejpam-5005	12	15	laplace	laplace	NOUN
ejpam-5005	12	16	transform	transform	NOUN
ejpam-5005	12	17	,	,	PUNCT
ejpam-5005	12	18	convolution	convolution	NOUN
ejpam-5005	12	19	,	,	PUNCT
ejpam-5005	12	20	system	system	NOUN
ejpam-5005	12	21	of	of	ADP
ejpam-5005	12	22	differential	differential	ADJ
ejpam-5005	12	23	equations	equation	NOUN
ejpam-5005	12	24	∗corresponding	∗corresponde	VERB
ejpam-5005	12	25	author	author	NOUN
ejpam-5005	12	26	.	.	PUNCT
ejpam-5005	13	1	doi	doi	NOUN
ejpam-5005	13	2	:	:	PUNCT
ejpam-5005	13	3	https://doi.org/10.29020/nybg.ejpam.v17i1.5005	https://doi.org/10.29020/nybg.ejpam.v17i1.5005	ADJ
ejpam-5005	13	4	email	email	NOUN
ejpam-5005	13	5	addresses	address	VERB
ejpam-5005	13	6	:	:	PUNCT
ejpam-5005	13	7	rsaadeh@zu.edu	rsaadeh@zu.edu	X
ejpam-5005	13	8	.	.	PUNCT
ejpam-5005	14	1	(	(	PUNCT
ejpam-5005	14	2	saadeh),20219299@zu.edu.jo	saadeh),20219299@zu.edu.jo	ADV
ejpam-5005	14	3	(	(	PUNCT
ejpam-5005	14	4	alshawabkeh	alshawabkeh	ADJ
ejpam-5005	14	5	)	)	PUNCT
ejpam-5005	14	6	,	,	PUNCT
ejpam-5005	14	7	mabdoon.c@ksu.edu.sa	mabdoon.c@ksu.edu.sa	PROPN
ejpam-5005	14	8	(	(	PUNCT
ejpam-5005	14	9	a.	a.	NOUN
ejpam-5005	14	10	abdoon	abdoon	PROPN
ejpam-5005	14	11	)	)	PUNCT
ejpam-5005	15	1	n.taha@qu.edu.sa	n.taha@qu.edu.sa	PROPN
ejpam-5005	15	2	(	(	PUNCT
ejpam-5005	15	3	n	n	X
ejpam-5005	15	4	taha	taha	NOUN
ejpam-5005	15	5	)	)	PUNCT
ejpam-5005	15	6	,	,	PUNCT
ejpam-5005	15	7	dk.almutairi@mu.edu.sa	dk.almutairi@mu.edu.sa	PROPN
ejpam-5005	15	8	(	(	PUNCT
ejpam-5005	15	9	d.	d.	PROPN
ejpam-5005	15	10	k.	k.	PROPN
ejpam-5005	15	11	almutairi	almutairi	PROPN
ejpam-5005	15	12	)	)	PUNCT
ejpam-5005	15	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5005	15	14	385	385	NUM
ejpam-5005	16	1	©	©	ADP
ejpam-5005	16	2	2024	2024	NUM
ejpam-5005	16	3	ejpam	ejpam	NOUN
ejpam-5005	16	4	all	all	DET
ejpam-5005	16	5	rights	right	NOUN
ejpam-5005	16	6	reserved	reserve	VERB
ejpam-5005	16	7	.	.	PUNCT
ejpam-5005	17	1	d.	d.	PROPN
ejpam-5005	17	2	k.	k.	PROPN
ejpam-5005	17	3	almutairi	almutairi	PROPN
ejpam-5005	17	4	et	et	PROPN
ejpam-5005	17	5	al	al	PROPN
ejpam-5005	17	6	.	.	PUNCT
ejpam-5005	17	7	/	/	SYM
ejpam-5005	17	8	eur	eur	PROPN
ejpam-5005	17	9	.	.	PUNCT
ejpam-5005	18	1	j.	j.	PROPN
ejpam-5005	18	2	pure	pure	PROPN
ejpam-5005	18	3	appl	appl	PROPN
ejpam-5005	18	4	.	.	PROPN
ejpam-5005	18	5	math	math	PROPN
ejpam-5005	18	6	,	,	PUNCT
ejpam-5005	18	7	17	17	NUM
ejpam-5005	18	8	(	(	PUNCT
ejpam-5005	18	9	1	1	NUM
ejpam-5005	18	10	)	)	PUNCT
ejpam-5005	18	11	(	(	PUNCT
ejpam-5005	18	12	2024	2024	NUM
ejpam-5005	18	13	)	)	PUNCT
ejpam-5005	18	14	,	,	PUNCT
ejpam-5005	18	15	385	385	NUM
ejpam-5005	18	16	-	-	SYM
ejpam-5005	18	17	409	409	NUM
ejpam-5005	18	18	386	386	NUM
ejpam-5005	18	19	1	1	NUM
ejpam-5005	18	20	.	.	PUNCT
ejpam-5005	19	1	introduction	introduction	NOUN
ejpam-5005	19	2	in	in	ADP
ejpam-5005	19	3	actuality	actuality	NOUN
ejpam-5005	19	4	,	,	PUNCT
ejpam-5005	19	5	mathematics	mathematics	PROPN
ejpam-5005	19	6	is	be	AUX
ejpam-5005	19	7	a	a	DET
ejpam-5005	19	8	universal	universal	ADJ
ejpam-5005	19	9	language	language	NOUN
ejpam-5005	19	10	and	and	CCONJ
ejpam-5005	19	11	a	a	DET
ejpam-5005	19	12	vital	vital	ADJ
ejpam-5005	19	13	resource	resource	NOUN
ejpam-5005	19	14	for	for	ADP
ejpam-5005	19	15	comprehending	comprehend	VERB
ejpam-5005	19	16	the	the	DET
ejpam-5005	19	17	world	world	NOUN
ejpam-5005	19	18	we	we	PRON
ejpam-5005	19	19	live	live	VERB
ejpam-5005	19	20	in	in	ADP
ejpam-5005	19	21	[	[	X
ejpam-5005	19	22	57	57	NUM
ejpam-5005	19	23	]	]	PUNCT
ejpam-5005	19	24	.	.	PUNCT
ejpam-5005	20	1	particularly	particularly	ADV
ejpam-5005	20	2	,	,	PUNCT
ejpam-5005	20	3	differential	differential	ADJ
ejpam-5005	20	4	equations	equation	NOUN
ejpam-5005	20	5	are	be	AUX
ejpam-5005	20	6	essential	essential	ADJ
ejpam-5005	20	7	to	to	ADP
ejpam-5005	20	8	many	many	ADJ
ejpam-5005	20	9	areas	area	NOUN
ejpam-5005	20	10	of	of	ADP
ejpam-5005	20	11	mathematics	mathematic	NOUN
ejpam-5005	20	12	and	and	CCONJ
ejpam-5005	20	13	its	its	PRON
ejpam-5005	20	14	applications	application	NOUN
ejpam-5005	20	15	[	[	X
ejpam-5005	20	16	35	35	NUM
ejpam-5005	20	17	]	]	PUNCT
ejpam-5005	20	18	.	.	PUNCT
ejpam-5005	21	1	they	they	PRON
ejpam-5005	21	2	give	give	VERB
ejpam-5005	21	3	us	we	PRON
ejpam-5005	21	4	the	the	DET
ejpam-5005	21	5	ability	ability	NOUN
ejpam-5005	21	6	to	to	PART
ejpam-5005	21	7	explain	explain	VERB
ejpam-5005	21	8	the	the	DET
ejpam-5005	21	9	connections	connection	NOUN
ejpam-5005	21	10	between	between	ADP
ejpam-5005	21	11	variables	variable	NOUN
ejpam-5005	21	12	and	and	CCONJ
ejpam-5005	21	13	offer	offer	VERB
ejpam-5005	21	14	mathematical	mathematical	ADJ
ejpam-5005	21	15	models	model	NOUN
ejpam-5005	21	16	that	that	PRON
ejpam-5005	21	17	help	help	VERB
ejpam-5005	21	18	us	we	PRON
ejpam-5005	21	19	comprehend	comprehend	VERB
ejpam-5005	21	20	scientific	scientific	ADJ
ejpam-5005	21	21	,	,	PUNCT
ejpam-5005	21	22	engineering	engineering	NOUN
ejpam-5005	21	23	,	,	PUNCT
ejpam-5005	21	24	natural	natural	ADJ
ejpam-5005	21	25	,	,	PUNCT
ejpam-5005	21	26	and	and	CCONJ
ejpam-5005	21	27	economic	economic	ADJ
ejpam-5005	21	28	events	event	NOUN
ejpam-5005	21	29	[	[	X
ejpam-5005	21	30	19	19	NUM
ejpam-5005	21	31	]	]	PUNCT
ejpam-5005	21	32	.	.	PUNCT
ejpam-5005	22	1	in	in	ADP
ejpam-5005	22	2	physics	physics	PROPN
ejpam-5005	22	3	,	,	PUNCT
ejpam-5005	22	4	differential	differential	ADJ
ejpam-5005	22	5	equations	equation	NOUN
ejpam-5005	22	6	are	be	AUX
ejpam-5005	22	7	frequently	frequently	ADV
ejpam-5005	22	8	used	use	VERB
ejpam-5005	22	9	to	to	PART
ejpam-5005	22	10	describe	describe	VERB
ejpam-5005	22	11	the	the	DET
ejpam-5005	22	12	motion	motion	NOUN
ejpam-5005	22	13	of	of	ADP
ejpam-5005	22	14	objects	object	NOUN
ejpam-5005	22	15	and	and	CCONJ
ejpam-5005	22	16	the	the	DET
ejpam-5005	22	17	changes	change	NOUN
ejpam-5005	22	18	in	in	ADP
ejpam-5005	22	19	dynamic	dynamic	ADJ
ejpam-5005	22	20	systems	system	NOUN
ejpam-5005	23	1	[	[	X
ejpam-5005	23	2	16	16	NUM
ejpam-5005	23	3	]	]	PUNCT
ejpam-5005	23	4	.	.	PUNCT
ejpam-5005	24	1	they	they	PRON
ejpam-5005	24	2	have	have	VERB
ejpam-5005	24	3	the	the	DET
ejpam-5005	24	4	ability	ability	NOUN
ejpam-5005	24	5	to	to	PART
ejpam-5005	24	6	foresee	foresee	VERB
ejpam-5005	24	7	and	and	CCONJ
ejpam-5005	24	8	analyze	analyze	VERB
ejpam-5005	24	9	the	the	DET
ejpam-5005	24	10	behavior	behavior	NOUN
ejpam-5005	24	11	of	of	ADP
ejpam-5005	24	12	a	a	DET
ejpam-5005	24	13	wide	wide	ADJ
ejpam-5005	24	14	range	range	NOUN
ejpam-5005	24	15	of	of	ADP
ejpam-5005	24	16	physical	physical	ADJ
ejpam-5005	24	17	systems	system	NOUN
ejpam-5005	24	18	,	,	PUNCT
ejpam-5005	24	19	including	include	VERB
ejpam-5005	24	20	celestial	celestial	ADJ
ejpam-5005	24	21	planets	planet	NOUN
ejpam-5005	24	22	and	and	CCONJ
ejpam-5005	24	23	subatomic	subatomic	ADJ
ejpam-5005	24	24	particles	particle	NOUN
ejpam-5005	24	25	.	.	PUNCT
ejpam-5005	25	1	in	in	ADP
ejpam-5005	25	2	engineering	engineering	NOUN
ejpam-5005	25	3	,	,	PUNCT
ejpam-5005	25	4	differential	differential	ADJ
ejpam-5005	25	5	equations	equation	NOUN
ejpam-5005	25	6	are	be	AUX
ejpam-5005	25	7	utilized	utilize	VERB
ejpam-5005	25	8	to	to	PART
ejpam-5005	25	9	solve	solve	VERB
ejpam-5005	25	10	problems	problem	NOUN
ejpam-5005	25	11	related	relate	VERB
ejpam-5005	25	12	to	to	ADP
ejpam-5005	25	13	dynamics	dynamic	NOUN
ejpam-5005	25	14	,	,	PUNCT
ejpam-5005	25	15	structural	structural	ADJ
ejpam-5005	25	16	analysis	analysis	NOUN
ejpam-5005	25	17	,	,	PUNCT
ejpam-5005	25	18	and	and	CCONJ
ejpam-5005	25	19	design	design	NOUN
ejpam-5005	25	20	.	.	PUNCT
ejpam-5005	26	1	they	they	PRON
ejpam-5005	26	2	provide	provide	VERB
ejpam-5005	26	3	the	the	DET
ejpam-5005	26	4	mathematical	mathematical	ADJ
ejpam-5005	26	5	framework	framework	NOUN
ejpam-5005	26	6	required	require	VERB
ejpam-5005	26	7	to	to	PART
ejpam-5005	26	8	erect	erect	VERB
ejpam-5005	26	9	frameworks	framework	NOUN
ejpam-5005	26	10	,	,	PUNCT
ejpam-5005	26	11	optimize	optimize	NOUN
ejpam-5005	26	12	processes	process	NOUN
ejpam-5005	26	13	,	,	PUNCT
ejpam-5005	26	14	and	and	CCONJ
ejpam-5005	26	15	ensure	ensure	VERB
ejpam-5005	26	16	system	system	NOUN
ejpam-5005	26	17	stability	stability	NOUN
ejpam-5005	26	18	[	[	X
ejpam-5005	26	19	25	25	NUM
ejpam-5005	26	20	,	,	PUNCT
ejpam-5005	26	21	44	44	NUM
ejpam-5005	26	22	]	]	PUNCT
ejpam-5005	26	23	.	.	PUNCT
ejpam-5005	27	1	furthermore	furthermore	ADV
ejpam-5005	27	2	,	,	PUNCT
ejpam-5005	27	3	industrial	industrial	ADJ
ejpam-5005	27	4	design	design	NOUN
ejpam-5005	27	5	,	,	PUNCT
ejpam-5005	27	6	control	control	NOUN
ejpam-5005	27	7	systems	system	NOUN
ejpam-5005	27	8	,	,	PUNCT
ejpam-5005	27	9	and	and	CCONJ
ejpam-5005	27	10	electrical	electrical	ADJ
ejpam-5005	27	11	engineering	engineering	NOUN
ejpam-5005	27	12	all	all	PRON
ejpam-5005	27	13	heavily	heavily	ADV
ejpam-5005	27	14	rely	rely	VERB
ejpam-5005	27	15	on	on	ADP
ejpam-5005	27	16	differential	differential	ADJ
ejpam-5005	27	17	equations	equation	NOUN
ejpam-5005	27	18	[	[	X
ejpam-5005	27	19	46	46	NUM
ejpam-5005	27	20	,	,	PUNCT
ejpam-5005	27	21	59	59	NUM
ejpam-5005	27	22	]	]	PUNCT
ejpam-5005	27	23	.	.	PUNCT
ejpam-5005	28	1	they	they	PRON
ejpam-5005	28	2	are	be	AUX
ejpam-5005	28	3	necessary	necessary	ADJ
ejpam-5005	28	4	for	for	ADP
ejpam-5005	28	5	industrial	industrial	ADJ
ejpam-5005	28	6	processes	process	NOUN
ejpam-5005	28	7	,	,	PUNCT
ejpam-5005	28	8	control	control	NOUN
ejpam-5005	28	9	systems	system	NOUN
ejpam-5005	28	10	,	,	PUNCT
ejpam-5005	28	11	and	and	CCONJ
ejpam-5005	28	12	electrical	electrical	ADJ
ejpam-5005	28	13	circuit	circuit	NOUN
ejpam-5005	28	14	analysis	analysis	NOUN
ejpam-5005	28	15	and	and	CCONJ
ejpam-5005	28	16	design	design	NOUN
ejpam-5005	28	17	.	.	PUNCT
ejpam-5005	29	1	engineers	engineer	NOUN
ejpam-5005	29	2	can	can	AUX
ejpam-5005	29	3	maximize	maximize	VERB
ejpam-5005	29	4	the	the	DET
ejpam-5005	29	5	efficiency	efficiency	NOUN
ejpam-5005	29	6	and	and	CCONJ
ejpam-5005	29	7	stability	stability	NOUN
ejpam-5005	29	8	of	of	ADP
ejpam-5005	29	9	these	these	DET
ejpam-5005	29	10	systems	system	NOUN
ejpam-5005	29	11	by	by	ADP
ejpam-5005	29	12	creating	create	VERB
ejpam-5005	29	13	differential	differential	ADJ
ejpam-5005	29	14	equations	equation	NOUN
ejpam-5005	29	15	that	that	PRON
ejpam-5005	29	16	characterize	characterize	VERB
ejpam-5005	29	17	their	their	PRON
ejpam-5005	29	18	behavior	behavior	NOUN
ejpam-5005	29	19	.	.	PUNCT
ejpam-5005	30	1	differential	differential	ADJ
ejpam-5005	30	2	equations	equation	NOUN
ejpam-5005	30	3	are	be	AUX
ejpam-5005	30	4	fundamental	fundamental	ADJ
ejpam-5005	30	5	to	to	ADP
ejpam-5005	30	6	many	many	ADJ
ejpam-5005	30	7	branches	branch	NOUN
ejpam-5005	30	8	of	of	ADP
ejpam-5005	30	9	science	science	NOUN
ejpam-5005	30	10	and	and	CCONJ
ejpam-5005	30	11	technology	technology	NOUN
ejpam-5005	30	12	[	[	X
ejpam-5005	30	13	30	30	NUM
ejpam-5005	30	14	,	,	PUNCT
ejpam-5005	30	15	46	46	NUM
ejpam-5005	30	16	,	,	PUNCT
ejpam-5005	30	17	54	54	NUM
ejpam-5005	30	18	]	]	PUNCT
ejpam-5005	30	19	.	.	PUNCT
ejpam-5005	31	1	it	it	PRON
ejpam-5005	31	2	is	be	AUX
ejpam-5005	31	3	used	use	VERB
ejpam-5005	31	4	for	for	ADP
ejpam-5005	31	5	expressing	express	VERB
ejpam-5005	31	6	relationships	relationship	NOUN
ejpam-5005	31	7	,	,	PUNCT
ejpam-5005	31	8	creating	create	VERB
ejpam-5005	31	9	models	model	NOUN
ejpam-5005	31	10	,	,	PUNCT
ejpam-5005	31	11	and	and	CCONJ
ejpam-5005	31	12	resolving	resolve	VERB
ejpam-5005	31	13	issues	issue	NOUN
ejpam-5005	31	14	in	in	ADP
ejpam-5005	31	15	physics	physics	NOUN
ejpam-5005	31	16	,	,	PUNCT
ejpam-5005	31	17	engineering	engineering	NOUN
ejpam-5005	31	18	,	,	PUNCT
ejpam-5005	31	19	economics	economic	NOUN
ejpam-5005	31	20	,	,	PUNCT
ejpam-5005	31	21	the	the	DET
ejpam-5005	31	22	natural	natural	ADJ
ejpam-5005	31	23	sciences	science	NOUN
ejpam-5005	31	24	and	and	CCONJ
ejpam-5005	31	25	many	many	ADJ
ejpam-5005	31	26	others	other	NOUN
ejpam-5005	31	27	fields	field	NOUN
ejpam-5005	31	28	,	,	PUNCT
ejpam-5005	31	29	they	they	PRON
ejpam-5005	31	30	offer	offer	VERB
ejpam-5005	31	31	a	a	DET
ejpam-5005	31	32	potent	potent	ADJ
ejpam-5005	31	33	mathematical	mathematical	ADJ
ejpam-5005	31	34	tool	tool	NOUN
ejpam-5005	31	35	for	for	ADP
ejpam-5005	31	36	handling	handle	VERB
ejpam-5005	31	37	these	these	DET
ejpam-5005	31	38	issues	issue	NOUN
ejpam-5005	31	39	and	and	CCONJ
ejpam-5005	31	40	its	its	PRON
ejpam-5005	31	41	explanation	explanation	NOUN
ejpam-5005	31	42	[	[	X
ejpam-5005	31	43	26	26	NUM
ejpam-5005	31	44	]	]	PUNCT
ejpam-5005	31	45	.	.	PUNCT
ejpam-5005	32	1	by	by	ADP
ejpam-5005	32	2	converting	convert	VERB
ejpam-5005	32	3	functions	function	NOUN
ejpam-5005	32	4	from	from	ADP
ejpam-5005	32	5	one	one	NUM
ejpam-5005	32	6	domain	domain	NOUN
ejpam-5005	32	7	to	to	ADP
ejpam-5005	32	8	another	another	PRON
ejpam-5005	32	9	,	,	PUNCT
ejpam-5005	32	10	integral	integral	ADJ
ejpam-5005	32	11	transformations	transformation	NOUN
ejpam-5005	32	12	are	be	AUX
ejpam-5005	32	13	strong	strong	ADJ
ejpam-5005	32	14	mathematical	mathematical	ADJ
ejpam-5005	32	15	tools	tool	NOUN
ejpam-5005	32	16	that	that	PRON
ejpam-5005	32	17	help	help	VERB
ejpam-5005	32	18	us	we	PRON
ejpam-5005	32	19	in	in	ADP
ejpam-5005	32	20	solving	solve	VERB
ejpam-5005	32	21	problems	problem	NOUN
ejpam-5005	32	22	more	more	ADV
ejpam-5005	32	23	easily	easily	ADV
ejpam-5005	32	24	and	and	CCONJ
ejpam-5005	32	25	creatively	creatively	ADV
ejpam-5005	32	26	in	in	ADP
ejpam-5005	32	27	variety	variety	NOUN
ejpam-5005	32	28	of	of	ADP
ejpam-5005	32	29	domains	domain	NOUN
ejpam-5005	32	30	[	[	X
ejpam-5005	32	31	20	20	NUM
ejpam-5005	32	32	]	]	PUNCT
ejpam-5005	32	33	.	.	PUNCT
ejpam-5005	33	1	for	for	ADP
ejpam-5005	33	2	example	example	NOUN
ejpam-5005	33	3	,	,	PUNCT
ejpam-5005	33	4	fourier	fourier	NOUN
ejpam-5005	33	5	transform	transform	VERB
ejpam-5005	33	6	[	[	X
ejpam-5005	33	7	21	21	NUM
ejpam-5005	33	8	]	]	PUNCT
ejpam-5005	33	9	.	.	PUNCT
ejpam-5005	34	1	is	be	AUX
ejpam-5005	34	2	a	a	DET
ejpam-5005	34	3	transformation	transformation	NOUN
ejpam-5005	34	4	that	that	PRON
ejpam-5005	34	5	breaks	break	VERB
ejpam-5005	34	6	down	down	ADP
ejpam-5005	34	7	a	a	DET
ejpam-5005	34	8	function	function	NOUN
ejpam-5005	34	9	into	into	ADP
ejpam-5005	34	10	its	its	PRON
ejpam-5005	34	11	frequency	frequency	NOUN
ejpam-5005	34	12	components	component	NOUN
ejpam-5005	34	13	,	,	PUNCT
ejpam-5005	34	14	allowing	allow	VERB
ejpam-5005	34	15	for	for	ADP
ejpam-5005	34	16	analysis	analysis	NOUN
ejpam-5005	34	17	in	in	ADP
ejpam-5005	34	18	the	the	DET
ejpam-5005	34	19	frequency	frequency	NOUN
ejpam-5005	34	20	domain	domain	NOUN
ejpam-5005	34	21	.	.	PUNCT
ejpam-5005	35	1	it	it	PRON
ejpam-5005	35	2	was	be	AUX
ejpam-5005	35	3	solved	solve	VERB
ejpam-5005	35	4	by	by	ADP
ejpam-5005	35	5	many	many	ADJ
ejpam-5005	35	6	researchers	researcher	NOUN
ejpam-5005	35	7	to	to	PART
ejpam-5005	35	8	get	get	VERB
ejpam-5005	35	9	the	the	DET
ejpam-5005	35	10	solutions	solution	NOUN
ejpam-5005	35	11	of	of	ADP
ejpam-5005	35	12	many	many	ADJ
ejpam-5005	35	13	differential	differential	ADJ
ejpam-5005	35	14	equations	equation	NOUN
ejpam-5005	35	15	[	[	X
ejpam-5005	35	16	17	17	NUM
ejpam-5005	35	17	,	,	PUNCT
ejpam-5005	35	18	55	55	NUM
ejpam-5005	35	19	]	]	PUNCT
ejpam-5005	35	20	the	the	DET
ejpam-5005	35	21	laplace	laplace	NOUN
ejpam-5005	35	22	transform	transform	NOUN
ejpam-5005	35	23	[	[	X
ejpam-5005	35	24	18	18	NUM
ejpam-5005	35	25	]	]	PUNCT
ejpam-5005	35	26	is	be	AUX
ejpam-5005	35	27	another	another	DET
ejpam-5005	35	28	significant	significant	ADJ
ejpam-5005	35	29	integral	integral	ADJ
ejpam-5005	35	30	transformation	transformation	NOUN
ejpam-5005	35	31	that	that	PRON
ejpam-5005	35	32	transforms	transform	VERB
ejpam-5005	35	33	a	a	DET
ejpam-5005	35	34	function	function	NOUN
ejpam-5005	35	35	of	of	ADP
ejpam-5005	35	36	time	time	NOUN
ejpam-5005	35	37	into	into	ADP
ejpam-5005	35	38	a	a	DET
ejpam-5005	35	39	function	function	NOUN
ejpam-5005	35	40	of	of	ADP
ejpam-5005	35	41	complex	complex	ADJ
ejpam-5005	35	42	frequency	frequency	NOUN
ejpam-5005	35	43	,	,	PUNCT
ejpam-5005	35	44	facilitating	facilitate	VERB
ejpam-5005	35	45	the	the	DET
ejpam-5005	35	46	solution	solution	NOUN
ejpam-5005	35	47	of	of	ADP
ejpam-5005	35	48	differential	differential	ADJ
ejpam-5005	35	49	equations	equation	NOUN
ejpam-5005	35	50	and	and	CCONJ
ejpam-5005	35	51	system	system	NOUN
ejpam-5005	35	52	analysis	analysis	NOUN
ejpam-5005	35	53	.	.	PUNCT
ejpam-5005	36	1	it	it	PRON
ejpam-5005	36	2	has	have	VERB
ejpam-5005	36	3	a	a	DET
ejpam-5005	36	4	great	great	ADJ
ejpam-5005	36	5	application	application	NOUN
ejpam-5005	36	6	in	in	ADP
ejpam-5005	36	7	the	the	DET
ejpam-5005	36	8	fields	field	NOUN
ejpam-5005	36	9	of	of	ADP
ejpam-5005	36	10	science	science	NOUN
ejpam-5005	36	11	and	and	CCONJ
ejpam-5005	36	12	engineering	engineering	NOUN
ejpam-5005	36	13	[	[	X
ejpam-5005	36	14	33	33	NUM
ejpam-5005	36	15	,	,	PUNCT
ejpam-5005	36	16	56	56	NUM
ejpam-5005	36	17	]	]	PUNCT
ejpam-5005	36	18	.	.	PUNCT
ejpam-5005	37	1	the	the	DET
ejpam-5005	37	2	sumudu	sumudu	NOUN
ejpam-5005	37	3	transform	transform	VERB
ejpam-5005	37	4	[	[	X
ejpam-5005	37	5	37	37	NUM
ejpam-5005	37	6	,	,	PUNCT
ejpam-5005	37	7	58	58	NUM
ejpam-5005	37	8	]	]	PUNCT
ejpam-5005	37	9	offered	offer	VERB
ejpam-5005	37	10	an	an	DET
ejpam-5005	37	11	alternative	alternative	NOUN
ejpam-5005	37	12	to	to	ADP
ejpam-5005	37	13	the	the	DET
ejpam-5005	37	14	conventional	conventional	ADJ
ejpam-5005	37	15	fourier	fourier	NOUN
ejpam-5005	37	16	transform	transform	NOUN
ejpam-5005	37	17	and	and	CCONJ
ejpam-5005	37	18	attracted	attract	VERB
ejpam-5005	37	19	attention	attention	NOUN
ejpam-5005	37	20	for	for	ADP
ejpam-5005	37	21	its	its	PRON
ejpam-5005	37	22	exceptional	exceptional	ADJ
ejpam-5005	37	23	capacity	capacity	NOUN
ejpam-5005	37	24	to	to	PART
ejpam-5005	37	25	accurately	accurately	ADV
ejpam-5005	37	26	capture	capture	VERB
ejpam-5005	37	27	transient	transient	ADJ
ejpam-5005	37	28	signals	signal	NOUN
ejpam-5005	37	29	and	and	CCONJ
ejpam-5005	37	30	non	non	ADJ
ejpam-5005	37	31	-	-	ADJ
ejpam-5005	37	32	stationary	stationary	ADJ
ejpam-5005	37	33	phenomena	phenomenon	NOUN
ejpam-5005	37	34	[	[	X
ejpam-5005	37	35	14	14	NUM
ejpam-5005	37	36	]	]	PUNCT
ejpam-5005	37	37	.	.	PUNCT
ejpam-5005	38	1	numerous	numerous	ADJ
ejpam-5005	38	2	domains	domain	NOUN
ejpam-5005	38	3	,	,	PUNCT
ejpam-5005	38	4	such	such	ADJ
ejpam-5005	38	5	as	as	ADP
ejpam-5005	38	6	pattern	pattern	NOUN
ejpam-5005	38	7	recognition	recognition	NOUN
ejpam-5005	38	8	,	,	PUNCT
ejpam-5005	38	9	biomedical	biomedical	ADJ
ejpam-5005	38	10	signal	signal	NOUN
ejpam-5005	38	11	processing	processing	NOUN
ejpam-5005	38	12	,	,	PUNCT
ejpam-5005	38	13	image	image	NOUN
ejpam-5005	38	14	de	de	NOUN
ejpam-5005	38	15	-	-	ADJ
ejpam-5005	38	16	noising	noising	ADJ
ejpam-5005	38	17	,	,	PUNCT
ejpam-5005	38	18	and	and	CCONJ
ejpam-5005	38	19	others	other	NOUN
ejpam-5005	38	20	wares	ware	VERB
ejpam-5005	38	21	the	the	DET
ejpam-5005	38	22	motivation	motivation	NOUN
ejpam-5005	38	23	for	for	ADP
ejpam-5005	38	24	providing	provide	VERB
ejpam-5005	38	25	many	many	ADJ
ejpam-5005	38	26	integral	integral	ADJ
ejpam-5005	38	27	transforms	transform	NOUN
ejpam-5005	38	28	later	later	ADV
ejpam-5005	38	29	,	,	PUNCT
ejpam-5005	38	30	for	for	ADP
ejpam-5005	38	31	instances	instance	NOUN
ejpam-5005	38	32	:	:	PUNCT
ejpam-5005	38	33	ara	ara	PROPN
ejpam-5005	38	34	integral	integral	ADJ
ejpam-5005	38	35	transform	transform	NOUN
ejpam-5005	38	36	[	[	X
ejpam-5005	38	37	49	49	NUM
ejpam-5005	38	38	]	]	PUNCT
ejpam-5005	38	39	,	,	PUNCT
ejpam-5005	38	40	aboodh	aboodh	PROPN
ejpam-5005	38	41	transform	transform	VERB
ejpam-5005	38	42	[	[	X
ejpam-5005	38	43	1	1	NUM
ejpam-5005	38	44	]	]	PUNCT
ejpam-5005	38	45	,	,	PUNCT
ejpam-5005	38	46	and	and	CCONJ
ejpam-5005	38	47	formable	formable	ADJ
ejpam-5005	38	48	transform	transform	NOUN
ejpam-5005	38	49	[	[	X
ejpam-5005	38	50	52	52	NUM
ejpam-5005	38	51	]	]	PUNCT
ejpam-5005	38	52	.	.	PUNCT
ejpam-5005	39	1	moreover	moreover	ADV
ejpam-5005	39	2	,	,	PUNCT
ejpam-5005	39	3	double	double	ADJ
ejpam-5005	39	4	integral	integral	ADJ
ejpam-5005	39	5	transforms	transform	NOUN
ejpam-5005	39	6	have	have	AUX
ejpam-5005	39	7	been	be	AUX
ejpam-5005	39	8	effective	effective	ADJ
ejpam-5005	39	9	in	in	ADP
ejpam-5005	39	10	solving	solve	VERB
ejpam-5005	39	11	differential	differential	ADJ
ejpam-5005	39	12	equations	equation	NOUN
ejpam-5005	39	13	such	such	ADJ
ejpam-5005	39	14	as	as	ADP
ejpam-5005	39	15	:	:	PUNCT
ejpam-5005	39	16	double	double	ADJ
ejpam-5005	39	17	laplace	laplace	NOUN
ejpam-5005	39	18	transform	transform	NOUN
ejpam-5005	39	19	[	[	X
ejpam-5005	39	20	22	22	NUM
ejpam-5005	39	21	]	]	PUNCT
ejpam-5005	39	22	,	,	PUNCT
ejpam-5005	39	23	double	double	ADJ
ejpam-5005	39	24	laplace	laplace	PROPN
ejpam-5005	39	25	ara	ara	PROPN
ejpam-5005	40	1	[	[	X
ejpam-5005	40	2	42	42	NUM
ejpam-5005	40	3	,	,	PUNCT
ejpam-5005	40	4	53	53	NUM
ejpam-5005	40	5	]	]	PUNCT
ejpam-5005	40	6	,	,	PUNCT
ejpam-5005	40	7	double	double	ADJ
ejpam-5005	40	8	formable	formable	ADJ
ejpam-5005	40	9	[	[	X
ejpam-5005	40	10	51	51	NUM
ejpam-5005	40	11	]	]	PUNCT
ejpam-5005	40	12	double	double	ADJ
ejpam-5005	40	13	ara	ara	NOUN
ejpam-5005	40	14	[	[	X
ejpam-5005	40	15	45	45	NUM
ejpam-5005	40	16	]	]	PUNCT
ejpam-5005	40	17	and	and	CCONJ
ejpam-5005	40	18	others	other	NOUN
ejpam-5005	40	19	[	[	X
ejpam-5005	40	20	7	7	NUM
ejpam-5005	40	21	,	,	PUNCT
ejpam-5005	40	22	17	17	NUM
ejpam-5005	40	23	,	,	PUNCT
ejpam-5005	40	24	48	48	NUM
ejpam-5005	40	25	]	]	PUNCT
ejpam-5005	40	26	.	.	PUNCT
ejpam-5005	41	1	they	they	PRON
ejpam-5005	41	2	are	be	AUX
ejpam-5005	41	3	essential	essential	ADJ
ejpam-5005	41	4	in	in	ADP
ejpam-5005	41	5	many	many	ADJ
ejpam-5005	41	6	scientific	scientific	ADJ
ejpam-5005	41	7	and	and	CCONJ
ejpam-5005	41	8	technological	technological	ADJ
ejpam-5005	41	9	fields	field	NOUN
ejpam-5005	41	10	,	,	PUNCT
ejpam-5005	41	11	improving	improve	VERB
ejpam-5005	41	12	our	our	PRON
ejpam-5005	41	13	comprehension	comprehension	NOUN
ejpam-5005	41	14	and	and	CCONJ
ejpam-5005	41	15	facilitating	facilitate	VERB
ejpam-5005	41	16	effective	effective	ADJ
ejpam-5005	41	17	problem	problem	NOUN
ejpam-5005	41	18	-	-	PUNCT
ejpam-5005	41	19	solving	solve	VERB
ejpam-5005	41	20	[	[	X
ejpam-5005	41	21	10	10	NUM
ejpam-5005	41	22	,	,	PUNCT
ejpam-5005	41	23	23	23	NUM
ejpam-5005	41	24	,	,	PUNCT
ejpam-5005	41	25	38–40	38–40	NUM
ejpam-5005	41	26	]	]	PUNCT
ejpam-5005	41	27	.	.	PUNCT
ejpam-5005	42	1	developed	develop	VERB
ejpam-5005	42	2	by	by	ADP
ejpam-5005	42	3	mohand	mohand	NOUN
ejpam-5005	42	4	[	[	X
ejpam-5005	42	5	37	37	NUM
ejpam-5005	42	6	]	]	PUNCT
ejpam-5005	42	7	,	,	PUNCT
ejpam-5005	42	8	m.t	m.t	PROPN
ejpam-5005	42	9	.	.	PROPN
ejpam-5005	42	10	is	be	AUX
ejpam-5005	42	11	a	a	DET
ejpam-5005	42	12	revolutionary	revolutionary	ADJ
ejpam-5005	42	13	mathematical	mathematical	ADJ
ejpam-5005	42	14	technique	technique	NOUN
ejpam-5005	42	15	that	that	PRON
ejpam-5005	42	16	has	have	AUX
ejpam-5005	42	17	attracted	attract	VERB
ejpam-5005	42	18	a	a	DET
ejpam-5005	42	19	lot	lot	NOUN
ejpam-5005	42	20	of	of	ADP
ejpam-5005	42	21	attention	attention	NOUN
ejpam-5005	42	22	recently	recently	ADV
ejpam-5005	42	23	.	.	PUNCT
ejpam-5005	43	1	this	this	DET
ejpam-5005	43	2	transform	transform	NOUN
ejpam-5005	43	3	provides	provide	VERB
ejpam-5005	43	4	a	a	DET
ejpam-5005	43	5	strong	strong	ADJ
ejpam-5005	43	6	tool	tool	NOUN
ejpam-5005	43	7	for	for	ADP
ejpam-5005	43	8	signal	signal	NOUN
ejpam-5005	43	9	processing	processing	NOUN
ejpam-5005	43	10	and	and	CCONJ
ejpam-5005	43	11	analysis	analysis	NOUN
ejpam-5005	43	12	.	.	PUNCT
ejpam-5005	44	1	applications	application	NOUN
ejpam-5005	44	2	including	include	VERB
ejpam-5005	44	3	data	datum	NOUN
ejpam-5005	44	4	encryption	encryption	NOUN
ejpam-5005	44	5	,	,	PUNCT
ejpam-5005	44	6	audio	audio	NOUN
ejpam-5005	44	7	compression	compression	NOUN
ejpam-5005	44	8	,	,	PUNCT
ejpam-5005	44	9	and	and	CCONJ
ejpam-5005	44	10	image	image	PROPN
ejpam-5005	44	11	d.	d.	PROPN
ejpam-5005	44	12	k.	k.	PROPN
ejpam-5005	44	13	almutairi	almutairi	PROPN
ejpam-5005	44	14	et	et	PROPN
ejpam-5005	44	15	al	al	PROPN
ejpam-5005	44	16	.	.	PUNCT
ejpam-5005	44	17	/	/	SYM
ejpam-5005	44	18	eur	eur	PROPN
ejpam-5005	44	19	.	.	PUNCT
ejpam-5005	45	1	j.	j.	PROPN
ejpam-5005	45	2	pure	pure	PROPN
ejpam-5005	45	3	appl	appl	PROPN
ejpam-5005	45	4	.	.	PROPN
ejpam-5005	45	5	math	math	PROPN
ejpam-5005	45	6	,	,	PUNCT
ejpam-5005	45	7	17	17	NUM
ejpam-5005	45	8	(	(	PUNCT
ejpam-5005	45	9	1	1	NUM
ejpam-5005	45	10	)	)	PUNCT
ejpam-5005	45	11	(	(	PUNCT
ejpam-5005	45	12	2024	2024	NUM
ejpam-5005	45	13	)	)	PUNCT
ejpam-5005	45	14	,	,	PUNCT
ejpam-5005	45	15	385	385	NUM
ejpam-5005	45	16	-	-	SYM
ejpam-5005	45	17	409	409	NUM
ejpam-5005	45	18	387	387	NUM
ejpam-5005	45	19	processing	processing	NOUN
ejpam-5005	45	20	benefit	benefit	NOUN
ejpam-5005	45	21	greatly	greatly	ADV
ejpam-5005	45	22	from	from	ADP
ejpam-5005	45	23	the	the	DET
ejpam-5005	45	24	transform	transform	NOUN
ejpam-5005	45	25	.	.	PUNCT
ejpam-5005	46	1	signals	signal	NOUN
ejpam-5005	46	2	can	can	AUX
ejpam-5005	46	3	be	be	AUX
ejpam-5005	46	4	transformed	transform	VERB
ejpam-5005	46	5	mathematically	mathematically	ADV
ejpam-5005	46	6	from	from	ADP
ejpam-5005	46	7	the	the	DET
ejpam-5005	46	8	time	time	NOUN
ejpam-5005	46	9	domain	domain	NOUN
ejpam-5005	46	10	to	to	ADP
ejpam-5005	46	11	the	the	DET
ejpam-5005	46	12	frequency	frequency	NOUN
ejpam-5005	46	13	domain	domain	NOUN
ejpam-5005	46	14	and	and	CCONJ
ejpam-5005	46	15	back	back	ADV
ejpam-5005	46	16	again	again	ADV
ejpam-5005	46	17	using	use	VERB
ejpam-5005	46	18	the	the	DET
ejpam-5005	46	19	mohandas	mohandas	PROPN
ejpam-5005	46	20	approach	approach	NOUN
ejpam-5005	46	21	.	.	PUNCT
ejpam-5005	47	1	by	by	ADP
ejpam-5005	47	2	analyzing	analyze	VERB
ejpam-5005	47	3	signals	signal	NOUN
ejpam-5005	47	4	and	and	CCONJ
ejpam-5005	47	5	comprehending	comprehend	VERB
ejpam-5005	47	6	their	their	PRON
ejpam-5005	47	7	many	many	ADJ
ejpam-5005	47	8	properties	property	NOUN
ejpam-5005	47	9	,	,	PUNCT
ejpam-5005	47	10	including	include	VERB
ejpam-5005	47	11	the	the	DET
ejpam-5005	47	12	frequencies	frequency	NOUN
ejpam-5005	47	13	contained	contain	VERB
ejpam-5005	47	14	in	in	ADP
ejpam-5005	47	15	the	the	DET
ejpam-5005	47	16	signal	signal	NOUN
ejpam-5005	47	17	and	and	CCONJ
ejpam-5005	47	18	the	the	DET
ejpam-5005	47	19	energy	energy	NOUN
ejpam-5005	47	20	contained	contain	VERB
ejpam-5005	47	21	in	in	ADP
ejpam-5005	47	22	each	each	DET
ejpam-5005	47	23	frequency	frequency	NOUN
ejpam-5005	47	24	,	,	PUNCT
ejpam-5005	47	25	this	this	DET
ejpam-5005	47	26	transformation	transformation	NOUN
ejpam-5005	47	27	is	be	AUX
ejpam-5005	47	28	used	use	VERB
ejpam-5005	47	29	[	[	PUNCT
ejpam-5005	47	30	2	2	NUM
ejpam-5005	47	31	]	]	PUNCT
ejpam-5005	47	32	.	.	PUNCT
ejpam-5005	48	1	the	the	DET
ejpam-5005	48	2	laplace	laplace	NOUN
ejpam-5005	48	3	transform	transform	NOUN
ejpam-5005	48	4	is	be	AUX
ejpam-5005	48	5	the	the	DET
ejpam-5005	48	6	foundation	foundation	NOUN
ejpam-5005	48	7	of	of	ADP
ejpam-5005	48	8	the	the	DET
ejpam-5005	48	9	m.t	m.t	PROPN
ejpam-5005	48	10	.	.	PROPN
ejpam-5005	48	11	approach	approach	NOUN
ejpam-5005	48	12	,	,	PUNCT
ejpam-5005	48	13	however	however	ADV
ejpam-5005	48	14	it	it	PRON
ejpam-5005	48	15	is	be	AUX
ejpam-5005	48	16	enhanced	enhance	VERB
ejpam-5005	48	17	and	and	CCONJ
ejpam-5005	48	18	modified	modify	VERB
ejpam-5005	48	19	in	in	ADP
ejpam-5005	48	20	some	some	DET
ejpam-5005	48	21	ways	way	NOUN
ejpam-5005	48	22	[	[	X
ejpam-5005	48	23	3	3	NUM
ejpam-5005	48	24	]	]	PUNCT
ejpam-5005	48	25	.	.	PUNCT
ejpam-5005	49	1	when	when	SCONJ
ejpam-5005	49	2	handling	handle	VERB
ejpam-5005	49	3	non	non	ADJ
ejpam-5005	49	4	-	-	ADJ
ejpam-5005	49	5	infinite	infinite	ADJ
ejpam-5005	49	6	signals	signal	NOUN
ejpam-5005	49	7	or	or	CCONJ
ejpam-5005	49	8	signals	signal	NOUN
ejpam-5005	49	9	with	with	ADP
ejpam-5005	49	10	restricted	restricted	ADJ
ejpam-5005	49	11	frequency	frequency	NOUN
ejpam-5005	49	12	,	,	PUNCT
ejpam-5005	49	13	m.t	m.t	PROPN
ejpam-5005	49	14	.	.	PROPN
ejpam-5005	49	15	performs	perform	VERB
ejpam-5005	49	16	better	well	ADV
ejpam-5005	49	17	[	[	X
ejpam-5005	49	18	5	5	NUM
ejpam-5005	49	19	,	,	PUNCT
ejpam-5005	49	20	6	6	NUM
ejpam-5005	49	21	,	,	PUNCT
ejpam-5005	49	22	8	8	NUM
ejpam-5005	49	23	]	]	PUNCT
ejpam-5005	49	24	.	.	PUNCT
ejpam-5005	50	1	a	a	DET
ejpam-5005	50	2	wide	wide	ADJ
ejpam-5005	50	3	range	range	NOUN
ejpam-5005	50	4	of	of	ADP
ejpam-5005	50	5	problems	problem	NOUN
ejpam-5005	50	6	involving	involve	VERB
ejpam-5005	50	7	differential	differential	ADJ
ejpam-5005	50	8	equations	equation	NOUN
ejpam-5005	50	9	,	,	PUNCT
ejpam-5005	50	10	partial	partial	ADJ
ejpam-5005	50	11	differential	differential	NOUN
ejpam-5005	50	12	equations	equation	NOUN
ejpam-5005	50	13	,	,	PUNCT
ejpam-5005	50	14	integral	integral	ADJ
ejpam-5005	50	15	equations	equation	NOUN
ejpam-5005	50	16	,	,	PUNCT
ejpam-5005	50	17	and	and	CCONJ
ejpam-5005	50	18	population	population	NOUN
ejpam-5005	50	19	development	development	NOUN
ejpam-5005	50	20	and	and	CCONJ
ejpam-5005	50	21	decay	decay	NOUN
ejpam-5005	50	22	are	be	AUX
ejpam-5005	50	23	among	among	ADP
ejpam-5005	50	24	the	the	DET
ejpam-5005	50	25	many	many	ADJ
ejpam-5005	50	26	uses	use	NOUN
ejpam-5005	50	27	of	of	ADP
ejpam-5005	50	28	m.t	m.t	PROPN
ejpam-5005	50	29	.	.	PUNCT
ejpam-5005	51	1	[	[	X
ejpam-5005	51	2	24	24	NUM
ejpam-5005	51	3	,	,	PUNCT
ejpam-5005	51	4	43	43	NUM
ejpam-5005	51	5	]	]	PUNCT
ejpam-5005	51	6	.	.	PUNCT
ejpam-5005	52	1	it	it	PRON
ejpam-5005	52	2	is	be	AUX
ejpam-5005	52	3	also	also	ADV
ejpam-5005	52	4	used	use	VERB
ejpam-5005	52	5	to	to	PART
ejpam-5005	52	6	solve	solve	VERB
ejpam-5005	52	7	linear	linear	PROPN
ejpam-5005	52	8	volterra	volterra	PROPN
ejpam-5005	52	9	integral	integral	ADJ
ejpam-5005	52	10	equations	equation	NOUN
ejpam-5005	52	11	[	[	X
ejpam-5005	52	12	4	4	NUM
ejpam-5005	52	13	,	,	PUNCT
ejpam-5005	52	14	50	50	NUM
ejpam-5005	52	15	]	]	PUNCT
ejpam-5005	52	16	of	of	ADP
ejpam-5005	52	17	the	the	DET
ejpam-5005	52	18	second	second	ADJ
ejpam-5005	52	19	sort	sort	NOUN
ejpam-5005	52	20	.	.	PUNCT
ejpam-5005	53	1	the	the	DET
ejpam-5005	53	2	novelty	novelty	NOUN
ejpam-5005	53	3	in	in	ADP
ejpam-5005	53	4	this	this	DET
ejpam-5005	53	5	research	research	NOUN
ejpam-5005	53	6	lies	lie	VERB
ejpam-5005	53	7	in	in	ADP
ejpam-5005	53	8	the	the	DET
ejpam-5005	53	9	utilization	utilization	NOUN
ejpam-5005	53	10	of	of	ADP
ejpam-5005	53	11	the	the	DET
ejpam-5005	53	12	mohanad	mohanad	PROPN
ejpam-5005	53	13	transform	transform	NOUN
ejpam-5005	53	14	,	,	PUNCT
ejpam-5005	53	15	a	a	DET
ejpam-5005	53	16	relatively	relatively	ADV
ejpam-5005	53	17	recent	recent	ADJ
ejpam-5005	53	18	mathematical	mathematical	ADJ
ejpam-5005	53	19	approach	approach	NOUN
ejpam-5005	53	20	,	,	PUNCT
ejpam-5005	53	21	as	as	ADP
ejpam-5005	53	22	a	a	DET
ejpam-5005	53	23	powerful	powerful	ADJ
ejpam-5005	53	24	tool	tool	NOUN
ejpam-5005	53	25	for	for	ADP
ejpam-5005	53	26	addressing	address	VERB
ejpam-5005	53	27	a	a	DET
ejpam-5005	53	28	broad	broad	ADJ
ejpam-5005	53	29	spectrum	spectrum	NOUN
ejpam-5005	53	30	of	of	ADP
ejpam-5005	53	31	scientific	scientific	ADJ
ejpam-5005	53	32	and	and	CCONJ
ejpam-5005	53	33	engineering	engineering	NOUN
ejpam-5005	53	34	problems	problem	NOUN
ejpam-5005	53	35	.	.	PUNCT
ejpam-5005	54	1	the	the	DET
ejpam-5005	54	2	distinctive	distinctive	ADJ
ejpam-5005	54	3	aspects	aspect	NOUN
ejpam-5005	54	4	of	of	ADP
ejpam-5005	54	5	this	this	DET
ejpam-5005	54	6	study	study	NOUN
ejpam-5005	54	7	can	can	AUX
ejpam-5005	54	8	be	be	AUX
ejpam-5005	54	9	highlighted	highlight	VERB
ejpam-5005	54	10	as	as	SCONJ
ejpam-5005	54	11	follows	follow	VERB
ejpam-5005	54	12	:	:	PUNCT
ejpam-5005	54	13	the	the	DET
ejpam-5005	54	14	study	study	NOUN
ejpam-5005	54	15	contributes	contribute	VERB
ejpam-5005	54	16	to	to	ADP
ejpam-5005	54	17	the	the	DET
ejpam-5005	54	18	evolving	evolve	VERB
ejpam-5005	54	19	interest	interest	NOUN
ejpam-5005	54	20	in	in	ADP
ejpam-5005	54	21	the	the	DET
ejpam-5005	54	22	mohanad	mohanad	PROPN
ejpam-5005	54	23	transform	transform	NOUN
ejpam-5005	54	24	,	,	PUNCT
ejpam-5005	54	25	showcasing	showcase	VERB
ejpam-5005	54	26	its	its	PRON
ejpam-5005	54	27	versatility	versatility	NOUN
ejpam-5005	54	28	across	across	ADP
ejpam-5005	54	29	diverse	diverse	ADJ
ejpam-5005	54	30	domains	domain	NOUN
ejpam-5005	54	31	such	such	ADJ
ejpam-5005	54	32	as	as	ADP
ejpam-5005	54	33	electric	electric	ADJ
ejpam-5005	54	34	circuits	circuit	NOUN
ejpam-5005	54	35	,	,	PUNCT
ejpam-5005	54	36	population	population	NOUN
ejpam-5005	54	37	growth	growth	NOUN
ejpam-5005	54	38	,	,	PUNCT
ejpam-5005	54	39	vibrational	vibrational	ADJ
ejpam-5005	54	40	beams	beam	NOUN
ejpam-5005	54	41	,	,	PUNCT
ejpam-5005	54	42	and	and	CCONJ
ejpam-5005	54	43	heat	heat	NOUN
ejpam-5005	54	44	conduction	conduction	NOUN
ejpam-5005	54	45	.	.	PUNCT
ejpam-5005	55	1	by	by	ADP
ejpam-5005	55	2	exploring	explore	VERB
ejpam-5005	55	3	its	its	PRON
ejpam-5005	55	4	application	application	NOUN
ejpam-5005	55	5	in	in	ADP
ejpam-5005	55	6	varied	varied	ADJ
ejpam-5005	55	7	fields	field	NOUN
ejpam-5005	55	8	,	,	PUNCT
ejpam-5005	55	9	the	the	DET
ejpam-5005	55	10	research	research	NOUN
ejpam-5005	55	11	expands	expand	VERB
ejpam-5005	55	12	the	the	DET
ejpam-5005	55	13	understanding	understanding	NOUN
ejpam-5005	55	14	of	of	ADP
ejpam-5005	55	15	where	where	SCONJ
ejpam-5005	55	16	and	and	CCONJ
ejpam-5005	55	17	how	how	SCONJ
ejpam-5005	55	18	this	this	DET
ejpam-5005	55	19	transform	transform	NOUN
ejpam-5005	55	20	can	can	AUX
ejpam-5005	55	21	be	be	AUX
ejpam-5005	55	22	effectively	effectively	ADV
ejpam-5005	55	23	employed	employ	VERB
ejpam-5005	55	24	.	.	PUNCT
ejpam-5005	56	1	comprehensive	comprehensive	ADJ
ejpam-5005	56	2	analysis	analysis	NOUN
ejpam-5005	56	3	:	:	PUNCT
ejpam-5005	56	4	this	this	DET
ejpam-5005	56	5	work	work	NOUN
ejpam-5005	56	6	not	not	PART
ejpam-5005	56	7	only	only	ADV
ejpam-5005	56	8	introduces	introduce	VERB
ejpam-5005	56	9	the	the	DET
ejpam-5005	56	10	mohanad	mohanad	ADJ
ejpam-5005	56	11	transform	transform	NOUN
ejpam-5005	56	12	but	but	CCONJ
ejpam-5005	56	13	also	also	ADV
ejpam-5005	56	14	delves	delve	VERB
ejpam-5005	56	15	into	into	ADP
ejpam-5005	56	16	its	its	PRON
ejpam-5005	56	17	foundational	foundational	ADJ
ejpam-5005	56	18	properties	property	NOUN
ejpam-5005	56	19	—	—	PUNCT
ejpam-5005	56	20	highlighting	highlight	VERB
ejpam-5005	56	21	linearity	linearity	NOUN
ejpam-5005	56	22	,	,	PUNCT
ejpam-5005	56	23	convolution	convolution	NOUN
ejpam-5005	56	24	,	,	PUNCT
ejpam-5005	56	25	and	and	CCONJ
ejpam-5005	56	26	its	its	PRON
ejpam-5005	56	27	connections	connection	NOUN
ejpam-5005	56	28	with	with	ADP
ejpam-5005	56	29	other	other	ADJ
ejpam-5005	56	30	integral	integral	ADJ
ejpam-5005	56	31	transforms	transform	NOUN
ejpam-5005	56	32	.	.	PUNCT
ejpam-5005	57	1	the	the	DET
ejpam-5005	57	2	comprehensive	comprehensive	ADJ
ejpam-5005	57	3	analysis	analysis	NOUN
ejpam-5005	57	4	provides	provide	VERB
ejpam-5005	57	5	a	a	DET
ejpam-5005	57	6	robust	robust	ADJ
ejpam-5005	57	7	understanding	understanding	NOUN
ejpam-5005	57	8	of	of	ADP
ejpam-5005	57	9	the	the	DET
ejpam-5005	57	10	transform	transform	NOUN
ejpam-5005	57	11	’s	’s	PART
ejpam-5005	57	12	capabilities	capability	NOUN
ejpam-5005	57	13	and	and	CCONJ
ejpam-5005	57	14	its	its	PRON
ejpam-5005	57	15	relation	relation	NOUN
ejpam-5005	57	16	to	to	ADP
ejpam-5005	57	17	established	establish	VERB
ejpam-5005	57	18	mathematical	mathematical	ADJ
ejpam-5005	57	19	tools	tool	NOUN
ejpam-5005	57	20	.	.	PUNCT
ejpam-5005	58	1	solver	solver	VERB
ejpam-5005	58	2	for	for	ADP
ejpam-5005	58	3	odes	ode	NOUN
ejpam-5005	58	4	:	:	PUNCT
ejpam-5005	58	5	the	the	DET
ejpam-5005	58	6	emphasis	emphasis	NOUN
ejpam-5005	58	7	on	on	ADP
ejpam-5005	58	8	solving	solve	VERB
ejpam-5005	58	9	systems	system	NOUN
ejpam-5005	58	10	of	of	ADP
ejpam-5005	58	11	ordinary	ordinary	ADJ
ejpam-5005	58	12	differential	differential	ADJ
ejpam-5005	58	13	equations	equation	NOUN
ejpam-5005	58	14	(	(	PUNCT
ejpam-5005	58	15	odes	ode	NOUN
ejpam-5005	58	16	)	)	PUNCT
ejpam-5005	58	17	using	use	VERB
ejpam-5005	58	18	the	the	DET
ejpam-5005	58	19	mohanad	mohanad	ADJ
ejpam-5005	58	20	transform	transform	NOUN
ejpam-5005	58	21	is	be	AUX
ejpam-5005	58	22	a	a	DET
ejpam-5005	58	23	key	key	ADJ
ejpam-5005	58	24	contribution	contribution	NOUN
ejpam-5005	58	25	.	.	PUNCT
ejpam-5005	59	1	demonstrating	demonstrate	VERB
ejpam-5005	59	2	its	its	PRON
ejpam-5005	59	3	efficacy	efficacy	NOUN
ejpam-5005	59	4	in	in	ADP
ejpam-5005	59	5	solving	solve	VERB
ejpam-5005	59	6	these	these	DET
ejpam-5005	59	7	equations	equation	NOUN
ejpam-5005	59	8	with	with	ADP
ejpam-5005	59	9	minimal	minimal	ADJ
ejpam-5005	59	10	computational	computational	ADJ
ejpam-5005	59	11	burden	burden	NOUN
ejpam-5005	59	12	underscores	underscore	VERB
ejpam-5005	59	13	its	its	PRON
ejpam-5005	59	14	potential	potential	NOUN
ejpam-5005	59	15	as	as	ADP
ejpam-5005	59	16	an	an	DET
ejpam-5005	59	17	efficient	efficient	ADJ
ejpam-5005	59	18	solver	solver	NOUN
ejpam-5005	59	19	for	for	ADP
ejpam-5005	59	20	complex	complex	ADJ
ejpam-5005	59	21	mathematical	mathematical	ADJ
ejpam-5005	59	22	problems	problem	NOUN
ejpam-5005	59	23	arising	arise	VERB
ejpam-5005	59	24	in	in	ADP
ejpam-5005	59	25	various	various	ADJ
ejpam-5005	59	26	scientific	scientific	ADJ
ejpam-5005	59	27	and	and	CCONJ
ejpam-5005	59	28	engineering	engineering	NOUN
ejpam-5005	59	29	disciplines	discipline	NOUN
ejpam-5005	59	30	.	.	PUNCT
ejpam-5005	60	1	cross	cross	ADJ
ejpam-5005	60	2	-	-	ADJ
ejpam-5005	60	3	disciplinary	disciplinary	ADJ
ejpam-5005	60	4	application	application	NOUN
ejpam-5005	60	5	:	:	PUNCT
ejpam-5005	60	6	the	the	DET
ejpam-5005	60	7	application	application	NOUN
ejpam-5005	60	8	of	of	ADP
ejpam-5005	60	9	the	the	DET
ejpam-5005	60	10	mohanad	mohanad	PROPN
ejpam-5005	60	11	transform	transform	NOUN
ejpam-5005	60	12	to	to	PART
ejpam-5005	60	13	determine	determine	VERB
ejpam-5005	60	14	chemical	chemical	ADJ
ejpam-5005	60	15	reactant	reactant	NOUN
ejpam-5005	60	16	concentrations	concentration	NOUN
ejpam-5005	60	17	in	in	ADP
ejpam-5005	60	18	a	a	DET
ejpam-5005	60	19	series	series	NOUN
ejpam-5005	60	20	reaction	reaction	NOUN
ejpam-5005	60	21	bridges	bridge	VERB
ejpam-5005	60	22	the	the	DET
ejpam-5005	60	23	gap	gap	NOUN
ejpam-5005	60	24	between	between	ADP
ejpam-5005	60	25	mathematics	mathematic	NOUN
ejpam-5005	60	26	and	and	CCONJ
ejpam-5005	60	27	physical	physical	ADJ
ejpam-5005	60	28	chemistry	chemistry	NOUN
ejpam-5005	60	29	.	.	PUNCT
ejpam-5005	61	1	this	this	DET
ejpam-5005	61	2	cross	cross	ADJ
ejpam-5005	61	3	-	-	ADJ
ejpam-5005	61	4	disciplinary	disciplinary	ADJ
ejpam-5005	61	5	application	application	NOUN
ejpam-5005	61	6	showcases	showcase	VERB
ejpam-5005	61	7	the	the	DET
ejpam-5005	61	8	transform	transform	NOUN
ejpam-5005	61	9	’s	’s	PART
ejpam-5005	61	10	ability	ability	NOUN
ejpam-5005	61	11	to	to	PART
ejpam-5005	61	12	address	address	VERB
ejpam-5005	61	13	real	real	ADJ
ejpam-5005	61	14	-	-	PUNCT
ejpam-5005	61	15	world	world	NOUN
ejpam-5005	61	16	chemical	chemical	NOUN
ejpam-5005	61	17	problems	problem	NOUN
ejpam-5005	61	18	,	,	PUNCT
ejpam-5005	61	19	demonstrating	demonstrate	VERB
ejpam-5005	61	20	its	its	PRON
ejpam-5005	61	21	practical	practical	ADJ
ejpam-5005	61	22	utility	utility	NOUN
ejpam-5005	61	23	beyond	beyond	ADP
ejpam-5005	61	24	theoretical	theoretical	ADJ
ejpam-5005	61	25	constructs	construct	NOUN
ejpam-5005	61	26	.	.	PUNCT
ejpam-5005	62	1	efficiency	efficiency	NOUN
ejpam-5005	62	2	and	and	CCONJ
ejpam-5005	62	3	precision	precision	NOUN
ejpam-5005	62	4	:	:	PUNCT
ejpam-5005	62	5	the	the	DET
ejpam-5005	62	6	research	research	NOUN
ejpam-5005	62	7	underscores	underscore	VERB
ejpam-5005	62	8	the	the	DET
ejpam-5005	62	9	transformative	transformative	ADJ
ejpam-5005	62	10	power	power	NOUN
ejpam-5005	62	11	of	of	ADP
ejpam-5005	62	12	the	the	DET
ejpam-5005	62	13	mohanad	mohanad	ADJ
ejpam-5005	62	14	transform	transform	NOUN
ejpam-5005	62	15	by	by	ADP
ejpam-5005	62	16	showcasing	showcase	VERB
ejpam-5005	62	17	its	its	PRON
ejpam-5005	62	18	ability	ability	NOUN
ejpam-5005	62	19	to	to	PART
ejpam-5005	62	20	yield	yield	VERB
ejpam-5005	62	21	exact	exact	ADJ
ejpam-5005	62	22	solutions	solution	NOUN
ejpam-5005	62	23	to	to	PART
ejpam-5005	62	24	odes	ode	NOUN
ejpam-5005	62	25	without	without	ADP
ejpam-5005	62	26	requiring	require	VERB
ejpam-5005	62	27	extensive	extensive	ADJ
ejpam-5005	62	28	computational	computational	ADJ
ejpam-5005	62	29	efforts	effort	NOUN
ejpam-5005	62	30	.	.	PUNCT
ejpam-5005	63	1	the	the	DET
ejpam-5005	63	2	use	use	NOUN
ejpam-5005	63	3	of	of	ADP
ejpam-5005	63	4	graphs	graph	NOUN
ejpam-5005	63	5	and	and	CCONJ
ejpam-5005	63	6	tables	table	NOUN
ejpam-5005	63	7	to	to	PART
ejpam-5005	63	8	present	present	VERB
ejpam-5005	63	9	these	these	DET
ejpam-5005	63	10	solutions	solution	NOUN
ejpam-5005	63	11	further	far	ADV
ejpam-5005	63	12	emphasizes	emphasize	VERB
ejpam-5005	63	13	the	the	DET
ejpam-5005	63	14	precision	precision	NOUN
ejpam-5005	63	15	and	and	CCONJ
ejpam-5005	63	16	ease	ease	NOUN
ejpam-5005	63	17	of	of	ADP
ejpam-5005	63	18	interpretation	interpretation	NOUN
ejpam-5005	63	19	of	of	ADP
ejpam-5005	63	20	the	the	DET
ejpam-5005	63	21	results	result	NOUN
ejpam-5005	63	22	obtained	obtain	VERB
ejpam-5005	63	23	.	.	PUNCT
ejpam-5005	64	1	in	in	ADP
ejpam-5005	64	2	essence	essence	NOUN
ejpam-5005	64	3	,	,	PUNCT
ejpam-5005	64	4	the	the	DET
ejpam-5005	64	5	novelty	novelty	NOUN
ejpam-5005	64	6	of	of	ADP
ejpam-5005	64	7	this	this	DET
ejpam-5005	64	8	research	research	NOUN
ejpam-5005	64	9	lies	lie	VERB
ejpam-5005	64	10	in	in	ADP
ejpam-5005	64	11	the	the	DET
ejpam-5005	64	12	comprehensive	comprehensive	ADJ
ejpam-5005	64	13	exploration	exploration	NOUN
ejpam-5005	64	14	and	and	CCONJ
ejpam-5005	64	15	practical	practical	ADJ
ejpam-5005	64	16	application	application	NOUN
ejpam-5005	64	17	of	of	ADP
ejpam-5005	64	18	the	the	DET
ejpam-5005	64	19	mohanad	mohanad	PROPN
ejpam-5005	64	20	transform	transform	NOUN
ejpam-5005	64	21	across	across	ADP
ejpam-5005	64	22	various	various	ADJ
ejpam-5005	64	23	scientific	scientific	ADJ
ejpam-5005	64	24	and	and	CCONJ
ejpam-5005	64	25	engineering	engineering	NOUN
ejpam-5005	64	26	realms	realm	NOUN
ejpam-5005	64	27	,	,	PUNCT
ejpam-5005	64	28	showcasing	showcase	VERB
ejpam-5005	64	29	its	its	PRON
ejpam-5005	64	30	efficiency	efficiency	NOUN
ejpam-5005	64	31	,	,	PUNCT
ejpam-5005	64	32	precision	precision	NOUN
ejpam-5005	64	33	,	,	PUNCT
ejpam-5005	64	34	and	and	CCONJ
ejpam-5005	64	35	applicability	applicability	NOUN
ejpam-5005	64	36	in	in	ADP
ejpam-5005	64	37	solving	solve	VERB
ejpam-5005	64	38	real	real	ADJ
ejpam-5005	64	39	-	-	PUNCT
ejpam-5005	64	40	world	world	NOUN
ejpam-5005	64	41	problems	problem	NOUN
ejpam-5005	64	42	.	.	PUNCT
ejpam-5005	65	1	additionally	additionally	ADV
ejpam-5005	65	2	;	;	PUNCT
ejpam-5005	65	3	we	we	PRON
ejpam-5005	65	4	go	go	VERB
ejpam-5005	65	5	over	over	ADP
ejpam-5005	65	6	how	how	SCONJ
ejpam-5005	65	7	to	to	PART
ejpam-5005	65	8	solve	solve	VERB
ejpam-5005	65	9	systems	system	NOUN
ejpam-5005	65	10	of	of	ADP
ejpam-5005	65	11	odes	ode	NOUN
ejpam-5005	65	12	with	with	ADP
ejpam-5005	65	13	the	the	DET
ejpam-5005	65	14	suggested	suggest	VERB
ejpam-5005	65	15	transform	transform	NOUN
ejpam-5005	65	16	by	by	ADP
ejpam-5005	65	17	a	a	DET
ejpam-5005	65	18	simple	simple	ADJ
ejpam-5005	65	19	algorithm	algorithm	NOUN
ejpam-5005	65	20	,	,	PUNCT
ejpam-5005	65	21	we	we	PRON
ejpam-5005	65	22	discuss	discuss	VERB
ejpam-5005	65	23	a	a	DET
ejpam-5005	65	24	physical	physical	ADJ
ejpam-5005	65	25	chemistry	chemistry	NOUN
ejpam-5005	65	26	problem	problem	NOUN
ejpam-5005	65	27	model	model	NOUN
ejpam-5005	65	28	and	and	CCONJ
ejpam-5005	65	29	solve	solve	VERB
ejpam-5005	65	30	it	it	PRON
ejpam-5005	65	31	using	use	VERB
ejpam-5005	65	32	d.	d.	PROPN
ejpam-5005	65	33	k.	k.	PROPN
ejpam-5005	65	34	almutairi	almutairi	PROPN
ejpam-5005	65	35	et	et	PROPN
ejpam-5005	65	36	al	al	PROPN
ejpam-5005	65	37	.	.	PUNCT
ejpam-5005	65	38	/	/	SYM
ejpam-5005	65	39	eur	eur	PROPN
ejpam-5005	65	40	.	.	PUNCT
ejpam-5005	66	1	j.	j.	PROPN
ejpam-5005	66	2	pure	pure	PROPN
ejpam-5005	66	3	appl	appl	PROPN
ejpam-5005	66	4	.	.	PROPN
ejpam-5005	66	5	math	math	PROPN
ejpam-5005	66	6	,	,	PUNCT
ejpam-5005	66	7	17	17	NUM
ejpam-5005	66	8	(	(	PUNCT
ejpam-5005	66	9	1	1	NUM
ejpam-5005	66	10	)	)	PUNCT
ejpam-5005	66	11	(	(	PUNCT
ejpam-5005	66	12	2024	2024	NUM
ejpam-5005	66	13	)	)	PUNCT
ejpam-5005	66	14	,	,	PUNCT
ejpam-5005	66	15	385	385	NUM
ejpam-5005	66	16	-	-	SYM
ejpam-5005	66	17	409	409	NUM
ejpam-5005	66	18	388	388	NUM
ejpam-5005	66	19	m.t	m.t	NOUN
ejpam-5005	66	20	.	.	PUNCT
ejpam-5005	67	1	the	the	DET
ejpam-5005	67	2	obtained	obtain	VERB
ejpam-5005	67	3	results	result	NOUN
ejpam-5005	67	4	are	be	AUX
ejpam-5005	67	5	used	use	VERB
ejpam-5005	67	6	to	to	PART
ejpam-5005	67	7	examine	examine	VERB
ejpam-5005	67	8	the	the	DET
ejpam-5005	67	9	concentration	concentration	NOUN
ejpam-5005	67	10	of	of	ADP
ejpam-5005	67	11	chemical	chemical	NOUN
ejpam-5005	67	12	reactants	reactant	NOUN
ejpam-5005	67	13	in	in	ADP
ejpam-5005	67	14	a	a	DET
ejpam-5005	67	15	series	series	NOUN
ejpam-5005	67	16	of	of	ADP
ejpam-5005	67	17	chemical	chemical	ADJ
ejpam-5005	67	18	reactions	reaction	NOUN
ejpam-5005	67	19	of	of	ADP
ejpam-5005	67	20	reactants	reactant	NOUN
ejpam-5005	67	21	in	in	ADP
ejpam-5005	67	22	a	a	DET
ejpam-5005	67	23	series	series	NOUN
ejpam-5005	67	24	of	of	ADP
ejpam-5005	67	25	reactions	reaction	NOUN
ejpam-5005	67	26	.	.	PUNCT
ejpam-5005	68	1	to	to	PART
ejpam-5005	68	2	obtain	obtain	VERB
ejpam-5005	68	3	the	the	DET
ejpam-5005	68	4	numerical	numerical	ADJ
ejpam-5005	68	5	findings	finding	NOUN
ejpam-5005	68	6	and	and	CCONJ
ejpam-5005	68	7	create	create	VERB
ejpam-5005	68	8	the	the	DET
ejpam-5005	68	9	figures	figure	NOUN
ejpam-5005	68	10	,	,	PUNCT
ejpam-5005	68	11	and	and	CCONJ
ejpam-5005	68	12	create	create	VERB
ejpam-5005	68	13	the	the	DET
ejpam-5005	68	14	figures	figure	NOUN
ejpam-5005	68	15	,	,	PUNCT
ejpam-5005	68	16	we	we	PRON
ejpam-5005	68	17	utilize	utilize	VERB
ejpam-5005	68	18	the	the	DET
ejpam-5005	68	19	python	python	NOUN
ejpam-5005	68	20	software	software	NOUN
ejpam-5005	68	21	package	package	NOUN
ejpam-5005	68	22	.	.	PUNCT
ejpam-5005	69	1	the	the	DET
ejpam-5005	69	2	novelty	novelty	NOUN
ejpam-5005	69	3	of	of	ADP
ejpam-5005	69	4	this	this	DET
ejpam-5005	69	5	work	work	NOUN
ejpam-5005	69	6	is	be	AUX
ejpam-5005	69	7	obvious	obvious	ADJ
ejpam-5005	69	8	in	in	ADP
ejpam-5005	69	9	the	the	DET
ejpam-5005	69	10	new	new	ADJ
ejpam-5005	69	11	algorithm	algorithm	NOUN
ejpam-5005	69	12	presented	present	VERB
ejpam-5005	69	13	to	to	PART
ejpam-5005	69	14	solve	solve	VERB
ejpam-5005	69	15	systems	system	NOUN
ejpam-5005	69	16	of	of	ADP
ejpam-5005	69	17	odes[14	odes[14	PROPN
ejpam-5005	69	18	,	,	PUNCT
ejpam-5005	69	19	28	28	NUM
ejpam-5005	69	20	,	,	PUNCT
ejpam-5005	69	21	47	47	NUM
ejpam-5005	69	22	]	]	PUNCT
ejpam-5005	69	23	,	,	PUNCT
ejpam-5005	69	24	m.t	m.t	PROPN
ejpam-5005	69	25	.	.	PROPN
ejpam-5005	69	26	is	be	AUX
ejpam-5005	69	27	presented	present	VERB
ejpam-5005	69	28	for	for	ADP
ejpam-5005	69	29	the	the	DET
ejpam-5005	69	30	first	first	ADJ
ejpam-5005	69	31	time	time	NOUN
ejpam-5005	69	32	to	to	PART
ejpam-5005	69	33	solve	solve	VERB
ejpam-5005	69	34	these	these	DET
ejpam-5005	69	35	equations	equation	NOUN
ejpam-5005	69	36	.	.	PUNCT
ejpam-5005	70	1	the	the	DET
ejpam-5005	70	2	proposed	propose	VERB
ejpam-5005	70	3	method	method	NOUN
ejpam-5005	70	4	shows	show	VERB
ejpam-5005	70	5	its	its	PRON
ejpam-5005	70	6	simplicity	simplicity	NOUN
ejpam-5005	70	7	and	and	CCONJ
ejpam-5005	70	8	applicability	applicability	NOUN
ejpam-5005	70	9	to	to	PART
ejpam-5005	70	10	solve	solve	VERB
ejpam-5005	70	11	problems	problem	NOUN
ejpam-5005	70	12	in	in	ADP
ejpam-5005	70	13	physical	physical	ADJ
ejpam-5005	70	14	chemistry[9	chemistry[9	NOUN
ejpam-5005	70	15	,	,	PUNCT
ejpam-5005	70	16	15	15	NUM
ejpam-5005	70	17	]	]	PUNCT
ejpam-5005	70	18	.	.	PUNCT
ejpam-5005	71	1	the	the	DET
ejpam-5005	71	2	utilization	utilization	NOUN
ejpam-5005	71	3	of	of	ADP
ejpam-5005	71	4	the	the	DET
ejpam-5005	71	5	mohanad	mohanad	ADJ
ejpam-5005	71	6	transform	transform	NOUN
ejpam-5005	71	7	(	(	PUNCT
ejpam-5005	71	8	m.t	m.t	PROPN
ejpam-5005	71	9	)	)	PUNCT
ejpam-5005	71	10	in	in	ADP
ejpam-5005	71	11	solving	solve	VERB
ejpam-5005	71	12	a	a	DET
ejpam-5005	71	13	chemical	chemical	NOUN
ejpam-5005	71	14	application	application	NOUN
ejpam-5005	71	15	,	,	PUNCT
ejpam-5005	71	16	specifically	specifically	ADV
ejpam-5005	71	17	in	in	ADP
ejpam-5005	71	18	determining	determine	VERB
ejpam-5005	71	19	chemical	chemical	ADJ
ejpam-5005	71	20	reactant	reactant	NOUN
ejpam-5005	71	21	concentrations	concentration	NOUN
ejpam-5005	71	22	within	within	ADP
ejpam-5005	71	23	a	a	DET
ejpam-5005	71	24	series	series	NOUN
ejpam-5005	71	25	reaction	reaction	NOUN
ejpam-5005	71	26	,	,	PUNCT
ejpam-5005	71	27	can	can	AUX
ejpam-5005	71	28	be	be	AUX
ejpam-5005	71	29	attributed	attribute	VERB
ejpam-5005	71	30	to	to	ADP
ejpam-5005	71	31	several	several	ADJ
ejpam-5005	71	32	reasons	reason	NOUN
ejpam-5005	71	33	:	:	PUNCT
ejpam-5005	71	34	complexity	complexity	NOUN
ejpam-5005	71	35	of	of	ADP
ejpam-5005	71	36	chemical	chemical	ADJ
ejpam-5005	71	37	reactions	reaction	NOUN
ejpam-5005	71	38	:	:	PUNCT
ejpam-5005	71	39	chemical	chemical	NOUN
ejpam-5005	71	40	reactions	reaction	NOUN
ejpam-5005	71	41	,	,	PUNCT
ejpam-5005	71	42	especially	especially	ADV
ejpam-5005	71	43	in	in	ADP
ejpam-5005	71	44	series	series	NOUN
ejpam-5005	71	45	,	,	PUNCT
ejpam-5005	71	46	can	can	AUX
ejpam-5005	71	47	involve	involve	VERB
ejpam-5005	71	48	intricate	intricate	ADJ
ejpam-5005	71	49	kinetics	kinetic	NOUN
ejpam-5005	71	50	and	and	CCONJ
ejpam-5005	71	51	complex	complex	ADJ
ejpam-5005	71	52	equations	equation	NOUN
ejpam-5005	71	53	describing	describe	VERB
ejpam-5005	71	54	the	the	DET
ejpam-5005	71	55	change	change	NOUN
ejpam-5005	71	56	in	in	ADP
ejpam-5005	71	57	concentrations	concentration	NOUN
ejpam-5005	71	58	over	over	ADP
ejpam-5005	71	59	time	time	NOUN
ejpam-5005	71	60	.	.	PUNCT
ejpam-5005	72	1	oftentimes	oftentime	NOUN
ejpam-5005	72	2	,	,	PUNCT
ejpam-5005	72	3	these	these	DET
ejpam-5005	72	4	reactions	reaction	NOUN
ejpam-5005	72	5	lead	lead	VERB
ejpam-5005	72	6	to	to	ADP
ejpam-5005	72	7	systems	system	NOUN
ejpam-5005	72	8	of	of	ADP
ejpam-5005	72	9	ordinary	ordinary	ADJ
ejpam-5005	72	10	differential	differential	ADJ
ejpam-5005	72	11	equations	equation	NOUN
ejpam-5005	72	12	(	(	PUNCT
ejpam-5005	72	13	odes	ode	NOUN
ejpam-5005	72	14	)	)	PUNCT
ejpam-5005	72	15	that	that	PRON
ejpam-5005	72	16	are	be	AUX
ejpam-5005	72	17	challenging	challenge	VERB
ejpam-5005	72	18	to	to	PART
ejpam-5005	72	19	solve	solve	VERB
ejpam-5005	72	20	directly	directly	ADV
ejpam-5005	72	21	.	.	PUNCT
ejpam-5005	73	1	the	the	DET
ejpam-5005	73	2	m.t	m.t	PROPN
ejpam-5005	73	3	,	,	PUNCT
ejpam-5005	73	4	known	know	VERB
ejpam-5005	73	5	for	for	ADP
ejpam-5005	73	6	its	its	PRON
ejpam-5005	73	7	efficacy	efficacy	NOUN
ejpam-5005	73	8	in	in	ADP
ejpam-5005	73	9	solving	solve	VERB
ejpam-5005	73	10	odes	ode	NOUN
ejpam-5005	73	11	,	,	PUNCT
ejpam-5005	73	12	provides	provide	VERB
ejpam-5005	73	13	an	an	DET
ejpam-5005	73	14	alternative	alternative	ADJ
ejpam-5005	73	15	and	and	CCONJ
ejpam-5005	73	16	efficient	efficient	ADJ
ejpam-5005	73	17	method	method	NOUN
ejpam-5005	73	18	to	to	PART
ejpam-5005	73	19	address	address	VERB
ejpam-5005	73	20	these	these	DET
ejpam-5005	73	21	complexities	complexity	NOUN
ejpam-5005	73	22	.	.	PUNCT
ejpam-5005	74	1	mathematical	mathematical	ADJ
ejpam-5005	74	2	modeling	modeling	NOUN
ejpam-5005	74	3	of	of	ADP
ejpam-5005	74	4	chemical	chemical	NOUN
ejpam-5005	74	5	systems	system	NOUN
ejpam-5005	74	6	:	:	PUNCT
ejpam-5005	74	7	when	when	SCONJ
ejpam-5005	74	8	trying	try	VERB
ejpam-5005	74	9	to	to	PART
ejpam-5005	74	10	understand	understand	VERB
ejpam-5005	74	11	chemical	chemical	ADJ
ejpam-5005	74	12	reactions	reaction	NOUN
ejpam-5005	74	13	,	,	PUNCT
ejpam-5005	74	14	it	it	PRON
ejpam-5005	74	15	’s	’	VERB
ejpam-5005	74	16	common	common	ADJ
ejpam-5005	74	17	to	to	PART
ejpam-5005	74	18	model	model	VERB
ejpam-5005	74	19	them	they	PRON
ejpam-5005	74	20	using	use	VERB
ejpam-5005	74	21	differential	differential	ADJ
ejpam-5005	74	22	equations	equation	NOUN
ejpam-5005	74	23	.	.	PUNCT
ejpam-5005	75	1	these	these	DET
ejpam-5005	75	2	equations	equation	NOUN
ejpam-5005	75	3	describe	describe	VERB
ejpam-5005	75	4	how	how	SCONJ
ejpam-5005	75	5	the	the	DET
ejpam-5005	75	6	concentrations	concentration	NOUN
ejpam-5005	75	7	of	of	ADP
ejpam-5005	75	8	reactants	reactant	NOUN
ejpam-5005	75	9	change	change	VERB
ejpam-5005	75	10	over	over	ADP
ejpam-5005	75	11	time	time	NOUN
ejpam-5005	75	12	.	.	PUNCT
ejpam-5005	76	1	by	by	ADP
ejpam-5005	76	2	utilizing	utilize	VERB
ejpam-5005	76	3	the	the	DET
ejpam-5005	76	4	m.t	m.t	PROPN
ejpam-5005	76	5	,	,	PUNCT
ejpam-5005	76	6	researchers	researcher	NOUN
ejpam-5005	76	7	can	can	AUX
ejpam-5005	76	8	translate	translate	VERB
ejpam-5005	76	9	these	these	DET
ejpam-5005	76	10	models	model	NOUN
ejpam-5005	76	11	into	into	ADP
ejpam-5005	76	12	solvable	solvable	ADJ
ejpam-5005	76	13	equations	equation	NOUN
ejpam-5005	76	14	,	,	PUNCT
ejpam-5005	76	15	enabling	enable	VERB
ejpam-5005	76	16	a	a	DET
ejpam-5005	76	17	deeper	deep	ADJ
ejpam-5005	76	18	understanding	understanding	NOUN
ejpam-5005	76	19	of	of	ADP
ejpam-5005	76	20	the	the	DET
ejpam-5005	76	21	reaction	reaction	NOUN
ejpam-5005	76	22	kinetics	kinetic	NOUN
ejpam-5005	76	23	and	and	CCONJ
ejpam-5005	76	24	concentrations	concentration	NOUN
ejpam-5005	76	25	involved	involve	VERB
ejpam-5005	76	26	.	.	PUNCT
ejpam-5005	77	1	accuracy	accuracy	NOUN
ejpam-5005	77	2	and	and	CCONJ
ejpam-5005	77	3	efficiency	efficiency	NOUN
ejpam-5005	77	4	:	:	PUNCT
ejpam-5005	77	5	the	the	DET
ejpam-5005	77	6	m.t	m.t	PROPN
ejpam-5005	77	7	offers	offer	VERB
ejpam-5005	77	8	an	an	DET
ejpam-5005	77	9	advantage	advantage	NOUN
ejpam-5005	77	10	in	in	ADP
ejpam-5005	77	11	providing	provide	VERB
ejpam-5005	77	12	exact	exact	ADJ
ejpam-5005	77	13	solutions	solution	NOUN
ejpam-5005	77	14	to	to	PART
ejpam-5005	77	15	odes	ode	NOUN
ejpam-5005	77	16	without	without	ADP
ejpam-5005	77	17	necessitating	necessitate	VERB
ejpam-5005	77	18	extensive	extensive	ADJ
ejpam-5005	77	19	computational	computational	ADJ
ejpam-5005	77	20	efforts	effort	NOUN
ejpam-5005	77	21	.	.	PUNCT
ejpam-5005	78	1	its	its	PRON
ejpam-5005	78	2	application	application	NOUN
ejpam-5005	78	3	streamlines	streamline	VERB
ejpam-5005	78	4	the	the	DET
ejpam-5005	78	5	process	process	NOUN
ejpam-5005	78	6	of	of	ADP
ejpam-5005	78	7	solving	solve	VERB
ejpam-5005	78	8	these	these	DET
ejpam-5005	78	9	equations	equation	NOUN
ejpam-5005	78	10	,	,	PUNCT
ejpam-5005	78	11	making	make	VERB
ejpam-5005	78	12	it	it	PRON
ejpam-5005	78	13	an	an	DET
ejpam-5005	78	14	appealing	appealing	ADJ
ejpam-5005	78	15	choice	choice	NOUN
ejpam-5005	78	16	when	when	SCONJ
ejpam-5005	78	17	dealing	deal	VERB
ejpam-5005	78	18	with	with	ADP
ejpam-5005	78	19	chemical	chemical	NOUN
ejpam-5005	78	20	systems	system	NOUN
ejpam-5005	78	21	,	,	PUNCT
ejpam-5005	78	22	where	where	SCONJ
ejpam-5005	78	23	precise	precise	ADJ
ejpam-5005	78	24	solutions	solution	NOUN
ejpam-5005	78	25	are	be	AUX
ejpam-5005	78	26	crucial	crucial	ADJ
ejpam-5005	78	27	.	.	PUNCT
ejpam-5005	79	1	visualization	visualization	NOUN
ejpam-5005	79	2	and	and	CCONJ
ejpam-5005	79	3	interpretation	interpretation	NOUN
ejpam-5005	79	4	:	:	PUNCT
ejpam-5005	79	5	presenting	present	VERB
ejpam-5005	79	6	the	the	DET
ejpam-5005	79	7	solutions	solution	NOUN
ejpam-5005	79	8	in	in	ADP
ejpam-5005	79	9	tables	table	NOUN
ejpam-5005	79	10	and	and	CCONJ
ejpam-5005	79	11	graphs	graph	NOUN
ejpam-5005	79	12	,	,	PUNCT
ejpam-5005	79	13	as	as	SCONJ
ejpam-5005	79	14	mentioned	mention	VERB
ejpam-5005	79	15	in	in	ADP
ejpam-5005	79	16	the	the	DET
ejpam-5005	79	17	study	study	NOUN
ejpam-5005	79	18	,	,	PUNCT
ejpam-5005	79	19	is	be	AUX
ejpam-5005	79	20	beneficial	beneficial	ADJ
ejpam-5005	79	21	for	for	ADP
ejpam-5005	79	22	visualizing	visualize	VERB
ejpam-5005	79	23	and	and	CCONJ
ejpam-5005	79	24	interpreting	interpret	VERB
ejpam-5005	79	25	the	the	DET
ejpam-5005	79	26	concentration	concentration	NOUN
ejpam-5005	79	27	changes	change	NOUN
ejpam-5005	79	28	of	of	ADP
ejpam-5005	79	29	reactants	reactant	NOUN
ejpam-5005	79	30	over	over	ADP
ejpam-5005	79	31	time	time	NOUN
ejpam-5005	79	32	.	.	PUNCT
ejpam-5005	80	1	this	this	DET
ejpam-5005	80	2	graphical	graphical	ADJ
ejpam-5005	80	3	representation	representation	NOUN
ejpam-5005	80	4	aids	aid	NOUN
ejpam-5005	80	5	in	in	ADP
ejpam-5005	80	6	comprehending	comprehend	VERB
ejpam-5005	80	7	the	the	DET
ejpam-5005	80	8	behavior	behavior	NOUN
ejpam-5005	80	9	of	of	ADP
ejpam-5005	80	10	the	the	DET
ejpam-5005	80	11	chemical	chemical	NOUN
ejpam-5005	80	12	system	system	NOUN
ejpam-5005	80	13	and	and	CCONJ
ejpam-5005	80	14	allows	allow	VERB
ejpam-5005	80	15	for	for	ADP
ejpam-5005	80	16	clearer	clear	ADJ
ejpam-5005	80	17	communication	communication	NOUN
ejpam-5005	80	18	of	of	ADP
ejpam-5005	80	19	results	result	NOUN
ejpam-5005	80	20	.	.	PUNCT
ejpam-5005	81	1	broader	broad	ADJ
ejpam-5005	81	2	applicability	applicability	NOUN
ejpam-5005	81	3	:	:	PUNCT
ejpam-5005	81	4	the	the	DET
ejpam-5005	81	5	versatility	versatility	NOUN
ejpam-5005	81	6	of	of	ADP
ejpam-5005	81	7	the	the	DET
ejpam-5005	81	8	m.t	m.t	PROPN
ejpam-5005	81	9	extends	extend	VERB
ejpam-5005	81	10	beyond	beyond	ADP
ejpam-5005	81	11	specific	specific	ADJ
ejpam-5005	81	12	scientific	scientific	ADJ
ejpam-5005	81	13	fields	field	NOUN
ejpam-5005	81	14	.	.	PUNCT
ejpam-5005	82	1	its	its	PRON
ejpam-5005	82	2	application	application	NOUN
ejpam-5005	82	3	in	in	ADP
ejpam-5005	82	4	solving	solving	NOUN
ejpam-5005	82	5	odes	ode	NOUN
ejpam-5005	82	6	allows	allow	VERB
ejpam-5005	82	7	for	for	ADP
ejpam-5005	82	8	a	a	DET
ejpam-5005	82	9	cross	cross	ADJ
ejpam-5005	82	10	-	-	ADJ
ejpam-5005	82	11	disciplinary	disciplinary	ADJ
ejpam-5005	82	12	approach	approach	NOUN
ejpam-5005	82	13	,	,	PUNCT
ejpam-5005	82	14	enabling	enable	VERB
ejpam-5005	82	15	researchers	researcher	NOUN
ejpam-5005	82	16	from	from	ADP
ejpam-5005	82	17	various	various	ADJ
ejpam-5005	82	18	domains	domain	NOUN
ejpam-5005	82	19	,	,	PUNCT
ejpam-5005	82	20	such	such	ADJ
ejpam-5005	82	21	as	as	ADP
ejpam-5005	82	22	mathematics	mathematic	NOUN
ejpam-5005	82	23	,	,	PUNCT
ejpam-5005	82	24	physics	physics	NOUN
ejpam-5005	82	25	,	,	PUNCT
ejpam-5005	82	26	engineering	engineering	NOUN
ejpam-5005	82	27	,	,	PUNCT
ejpam-5005	82	28	and	and	CCONJ
ejpam-5005	82	29	chemistry	chemistry	NOUN
ejpam-5005	82	30	,	,	PUNCT
ejpam-5005	82	31	to	to	PART
ejpam-5005	82	32	collaborate	collaborate	VERB
ejpam-5005	82	33	and	and	CCONJ
ejpam-5005	82	34	leverage	leverage	VERB
ejpam-5005	82	35	this	this	DET
ejpam-5005	82	36	mathematical	mathematical	ADJ
ejpam-5005	82	37	tool	tool	NOUN
ejpam-5005	82	38	for	for	ADP
ejpam-5005	82	39	problem	problem	NOUN
ejpam-5005	82	40	-	-	PUNCT
ejpam-5005	82	41	solving	solving	NOUN
ejpam-5005	82	42	.	.	PUNCT
ejpam-5005	83	1	the	the	DET
ejpam-5005	83	2	choice	choice	NOUN
ejpam-5005	83	3	of	of	ADP
ejpam-5005	83	4	utilizing	utilize	VERB
ejpam-5005	83	5	the	the	DET
ejpam-5005	83	6	m.t	m.t	PROPN
ejpam-5005	83	7	to	to	PART
ejpam-5005	83	8	solve	solve	VERB
ejpam-5005	83	9	a	a	DET
ejpam-5005	83	10	chemical	chemical	NOUN
ejpam-5005	83	11	application	application	NOUN
ejpam-5005	83	12	involving	involve	VERB
ejpam-5005	83	13	the	the	DET
ejpam-5005	83	14	determination	determination	NOUN
ejpam-5005	83	15	of	of	ADP
ejpam-5005	83	16	chemical	chemical	ADJ
ejpam-5005	83	17	reactant	reactant	NOUN
ejpam-5005	83	18	concentrations	concentration	NOUN
ejpam-5005	83	19	in	in	ADP
ejpam-5005	83	20	a	a	DET
ejpam-5005	83	21	series	series	NOUN
ejpam-5005	83	22	reaction	reaction	NOUN
ejpam-5005	83	23	showcases	showcase	VERB
ejpam-5005	83	24	its	its	PRON
ejpam-5005	83	25	ability	ability	NOUN
ejpam-5005	83	26	to	to	PART
ejpam-5005	83	27	simplify	simplify	VERB
ejpam-5005	83	28	complex	complex	ADJ
ejpam-5005	83	29	systems	system	NOUN
ejpam-5005	83	30	,	,	PUNCT
ejpam-5005	83	31	offer	offer	VERB
ejpam-5005	83	32	accurate	accurate	ADJ
ejpam-5005	83	33	solutions	solution	NOUN
ejpam-5005	83	34	,	,	PUNCT
ejpam-5005	83	35	and	and	CCONJ
ejpam-5005	83	36	facilitate	facilitate	VERB
ejpam-5005	83	37	a	a	DET
ejpam-5005	83	38	deeper	deep	ADJ
ejpam-5005	83	39	understanding	understanding	NOUN
ejpam-5005	83	40	of	of	ADP
ejpam-5005	83	41	chemical	chemical	ADJ
ejpam-5005	83	42	kinetics	kinetic	NOUN
ejpam-5005	83	43	through	through	ADP
ejpam-5005	83	44	mathematical	mathematical	ADJ
ejpam-5005	83	45	modeling	modeling	NOUN
ejpam-5005	83	46	and	and	CCONJ
ejpam-5005	83	47	analysis	analysis	NOUN
ejpam-5005	83	48	.	.	PUNCT
ejpam-5005	84	1	the	the	DET
ejpam-5005	84	2	structure	structure	NOUN
ejpam-5005	84	3	of	of	ADP
ejpam-5005	84	4	this	this	DET
ejpam-5005	84	5	article	article	NOUN
ejpam-5005	84	6	is	be	AUX
ejpam-5005	84	7	as	as	SCONJ
ejpam-5005	84	8	follows	follow	VERB
ejpam-5005	84	9	:	:	PUNCT
ejpam-5005	84	10	the	the	DET
ejpam-5005	84	11	structure	structure	NOUN
ejpam-5005	84	12	of	of	ADP
ejpam-5005	84	13	this	this	DET
ejpam-5005	84	14	article	article	NOUN
ejpam-5005	84	15	is	be	AUX
ejpam-5005	84	16	as	as	SCONJ
ejpam-5005	84	17	follows	follow	VERB
ejpam-5005	84	18	:	:	PUNCT
ejpam-5005	84	19	the	the	DET
ejpam-5005	84	20	primary	primary	ADJ
ejpam-5005	84	21	definitions	definition	NOUN
ejpam-5005	84	22	and	and	CCONJ
ejpam-5005	84	23	characteristics	characteristic	NOUN
ejpam-5005	84	24	of	of	ADP
ejpam-5005	84	25	m.t	m.t	PROPN
ejpam-5005	84	26	.	.	PROPN
ejpam-5005	84	27	are	be	AUX
ejpam-5005	84	28	presented	present	VERB
ejpam-5005	84	29	in	in	ADP
ejpam-5005	84	30	section	section	NOUN
ejpam-5005	84	31	2	2	NUM
ejpam-5005	84	32	.	.	PUNCT
ejpam-5005	85	1	in	in	ADP
ejpam-5005	85	2	section	section	NOUN
ejpam-5005	85	3	3	3	NUM
ejpam-5005	85	4	,	,	PUNCT
ejpam-5005	85	5	the	the	DET
ejpam-5005	85	6	applications	application	NOUN
ejpam-5005	85	7	of	of	ADP
ejpam-5005	85	8	m.t	m.t	PROPN
ejpam-5005	85	9	.	.	PROPN
ejpam-5005	85	10	to	to	PART
ejpam-5005	85	11	solve	solve	VERB
ejpam-5005	85	12	odes	ode	NOUN
ejpam-5005	85	13	.	.	PUNCT
ejpam-5005	86	1	section	section	NOUN
ejpam-5005	86	2	4	4	NUM
ejpam-5005	86	3	presents	present	VERB
ejpam-5005	86	4	a	a	DET
ejpam-5005	86	5	chemical	chemical	NOUN
ejpam-5005	86	6	application	application	NOUN
ejpam-5005	86	7	of	of	ADP
ejpam-5005	86	8	system	system	NOUN
ejpam-5005	86	9	of	of	ADP
ejpam-5005	86	10	odes	ode	NOUN
ejpam-5005	86	11	that	that	PRON
ejpam-5005	86	12	is	be	AUX
ejpam-5005	86	13	solved	solve	VERB
ejpam-5005	86	14	by	by	ADP
ejpam-5005	86	15	the	the	DET
ejpam-5005	86	16	proposed	propose	VERB
ejpam-5005	86	17	method	method	NOUN
ejpam-5005	86	18	,	,	PUNCT
ejpam-5005	86	19	finally	finally	ADV
ejpam-5005	86	20	,	,	PUNCT
ejpam-5005	86	21	we	we	PRON
ejpam-5005	86	22	get	get	VERB
ejpam-5005	86	23	the	the	DET
ejpam-5005	86	24	conclusion	conclusion	NOUN
ejpam-5005	86	25	in	in	ADP
ejpam-5005	86	26	section	section	NOUN
ejpam-5005	86	27	5	5	NUM
ejpam-5005	86	28	.	.	PUNCT
ejpam-5005	86	29	d.	d.	PROPN
ejpam-5005	86	30	k.	k.	PROPN
ejpam-5005	86	31	almutairi	almutairi	PROPN
ejpam-5005	87	1	et	et	PROPN
ejpam-5005	87	2	al	al	PROPN
ejpam-5005	87	3	.	.	PUNCT
ejpam-5005	87	4	/	/	SYM
ejpam-5005	87	5	eur	eur	PROPN
ejpam-5005	87	6	.	.	PUNCT
ejpam-5005	88	1	j.	j.	PROPN
ejpam-5005	88	2	pure	pure	PROPN
ejpam-5005	88	3	appl	appl	PROPN
ejpam-5005	88	4	.	.	PROPN
ejpam-5005	88	5	math	math	PROPN
ejpam-5005	88	6	,	,	PUNCT
ejpam-5005	88	7	17	17	NUM
ejpam-5005	88	8	(	(	PUNCT
ejpam-5005	88	9	1	1	NUM
ejpam-5005	88	10	)	)	PUNCT
ejpam-5005	88	11	(	(	PUNCT
ejpam-5005	88	12	2024	2024	NUM
ejpam-5005	88	13	)	)	PUNCT
ejpam-5005	88	14	,	,	PUNCT
ejpam-5005	88	15	385	385	NUM
ejpam-5005	88	16	-	-	SYM
ejpam-5005	88	17	409	409	NUM
ejpam-5005	88	18	389	389	NUM
ejpam-5005	88	19	2	2	NUM
ejpam-5005	88	20	.	.	PUNCT
ejpam-5005	89	1	basics	basic	NOUN
ejpam-5005	89	2	about	about	ADP
ejpam-5005	89	3	m.t	m.t	PROPN
ejpam-5005	89	4	.	.	PUNCT
ejpam-5005	89	5	in	in	ADP
ejpam-5005	89	6	this	this	DET
ejpam-5005	89	7	section	section	NOUN
ejpam-5005	89	8	,	,	PUNCT
ejpam-5005	89	9	we	we	PRON
ejpam-5005	89	10	present	present	VERB
ejpam-5005	89	11	the	the	DET
ejpam-5005	89	12	definition	definition	NOUN
ejpam-5005	89	13	of	of	ADP
ejpam-5005	89	14	m.t	m.t	PROPN
ejpam-5005	89	15	.	.	PUNCT
ejpam-5005	90	1	[	[	X
ejpam-5005	90	2	1	1	NUM
ejpam-5005	90	3	,	,	PUNCT
ejpam-5005	90	4	49	49	NUM
ejpam-5005	90	5	]	]	PUNCT
ejpam-5005	90	6	,	,	PUNCT
ejpam-5005	90	7	and	and	CCONJ
ejpam-5005	90	8	some	some	DET
ejpam-5005	90	9	basic	basic	ADJ
ejpam-5005	90	10	properties	property	NOUN
ejpam-5005	90	11	and	and	CCONJ
ejpam-5005	90	12	relations	relation	NOUN
ejpam-5005	90	13	to	to	ADP
ejpam-5005	90	14	other	other	ADJ
ejpam-5005	90	15	integral	integral	ADJ
ejpam-5005	90	16	transforms	transform	NOUN
ejpam-5005	90	17	.	.	PUNCT
ejpam-5005	91	1	for	for	ADP
ejpam-5005	91	2	more	more	ADJ
ejpam-5005	91	3	details	detail	NOUN
ejpam-5005	91	4	about	about	ADP
ejpam-5005	91	5	m.t	m.t	PROPN
ejpam-5005	91	6	..	..	PUNCT
ejpam-5005	91	7	definition	definition	NOUN
ejpam-5005	91	8	1	1	NUM
ejpam-5005	91	9	.	.	PUNCT
ejpam-5005	92	1	the	the	DET
ejpam-5005	92	2	mohanad	mohanad	PROPN
ejpam-5005	92	3	transform	transform	NOUN
ejpam-5005	92	4	(	(	PUNCT
ejpam-5005	92	5	m.t	m.t	PROPN
ejpam-5005	92	6	.	.	PROPN
ejpam-5005	92	7	)	)	PUNCT
ejpam-5005	92	8	is	be	AUX
ejpam-5005	92	9	defined	define	VERB
ejpam-5005	92	10	by	by	ADP
ejpam-5005	92	11	the	the	DET
ejpam-5005	92	12	integral	integral	ADJ
ejpam-5005	92	13	equation	equation	NOUN
ejpam-5005	92	14	:	:	PUNCT
ejpam-5005	92	15	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	92	16	)	)	PUNCT
ejpam-5005	92	17	}	}	PUNCT
ejpam-5005	93	1	=	=	SYM
ejpam-5005	93	2	ζ2	ζ2	NOUN
ejpam-5005	93	3	∫	∫	NOUN
ejpam-5005	93	4	∞	∞	PROPN
ejpam-5005	93	5	0	0	NUM
ejpam-5005	94	1	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	94	2	=	=	PUNCT
ejpam-5005	94	3	φ(ζ	φ(ζ	NOUN
ejpam-5005	94	4	)	)	PUNCT
ejpam-5005	94	5	.	.	PUNCT
ejpam-5005	95	1	(	(	PUNCT
ejpam-5005	95	2	1	1	X
ejpam-5005	95	3	)	)	PUNCT
ejpam-5005	95	4	definition	definition	NOUN
ejpam-5005	95	5	2	2	NUM
ejpam-5005	95	6	.	.	PUNCT
ejpam-5005	96	1	the	the	DET
ejpam-5005	96	2	inverse	inverse	ADJ
ejpam-5005	96	3	m.t	m.t	PROPN
ejpam-5005	96	4	.	.	PROPN
ejpam-5005	96	5	is	be	AUX
ejpam-5005	96	6	given	give	VERB
ejpam-5005	96	7	by	by	ADP
ejpam-5005	96	8	:	:	PUNCT
ejpam-5005	96	9	φ(ξ	φ(ξ	PROPN
ejpam-5005	96	10	)	)	PUNCT
ejpam-5005	96	11	=	=	SYM
ejpam-5005	96	12	m−1{φ(ζ	m−1{φ(ζ	NOUN
ejpam-5005	96	13	)	)	PUNCT
ejpam-5005	96	14	}	}	PUNCT
ejpam-5005	96	15	=	=	SYM
ejpam-5005	96	16	1	1	NUM
ejpam-5005	96	17	2πi	2πi	ADJ
ejpam-5005	96	18	∫	∫	PROPN
ejpam-5005	96	19	c+i∞	c+i∞	PROPN
ejpam-5005	96	20	c−i∞	c−i∞	PROPN
ejpam-5005	96	21	1	1	NUM
ejpam-5005	96	22	ζ2	ζ2	NOUN
ejpam-5005	96	23	eζξφ(ζ)dζ	eζξφ(ζ)dζ	NOUN
ejpam-5005	96	24	,	,	PUNCT
ejpam-5005	96	25	c	c	PROPN
ejpam-5005	96	26	∈	∈	PROPN
ejpam-5005	96	27	r	r	NOUN
ejpam-5005	96	28	,	,	PUNCT
ejpam-5005	96	29	(	(	PUNCT
ejpam-5005	96	30	2	2	X
ejpam-5005	96	31	)	)	PUNCT
ejpam-5005	96	32	where	where	SCONJ
ejpam-5005	96	33	m−1	m−1	PROPN
ejpam-5005	96	34	is	be	AUX
ejpam-5005	96	35	the	the	DET
ejpam-5005	96	36	inverse	inverse	NOUN
ejpam-5005	96	37	operator	operator	NOUN
ejpam-5005	96	38	of	of	ADP
ejpam-5005	96	39	m.t	m.t	PROPN
ejpam-5005	96	40	..	..	PROPN
ejpam-5005	96	41	2.1	2.1	NUM
ejpam-5005	96	42	.	.	PUNCT
ejpam-5005	97	1	properties	property	NOUN
ejpam-5005	97	2	of	of	ADP
ejpam-5005	97	3	m.t	m.t	PROPN
ejpam-5005	97	4	.	.	PUNCT
ejpam-5005	98	1	some	some	DET
ejpam-5005	98	2	properties	property	NOUN
ejpam-5005	98	3	of	of	ADP
ejpam-5005	98	4	m.t	m.t	PROPN
ejpam-5005	98	5	.	.	PROPN
ejpam-5005	98	6	are	be	AUX
ejpam-5005	98	7	presented	present	VERB
ejpam-5005	98	8	in	in	ADP
ejpam-5005	98	9	this	this	DET
ejpam-5005	98	10	section	section	NOUN
ejpam-5005	98	11	.	.	PUNCT
ejpam-5005	99	1	(	(	PUNCT
ejpam-5005	99	2	i	i	NOUN
ejpam-5005	99	3	)	)	PUNCT
ejpam-5005	99	4	the	the	DET
ejpam-5005	99	5	linearity	linearity	NOUN
ejpam-5005	99	6	property	property	NOUN
ejpam-5005	99	7	of	of	ADP
ejpam-5005	99	8	m.t	m.t	PROPN
ejpam-5005	99	9	.	.	PUNCT
ejpam-5005	100	1	if	if	SCONJ
ejpam-5005	100	2	m	m	PRON
ejpam-5005	100	3	{	{	PUNCT
ejpam-5005	100	4	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	100	5	)	)	PUNCT
ejpam-5005	100	6	}	}	PUNCT
ejpam-5005	100	7	=	=	SYM
ejpam-5005	100	8	φ1(ζ	φ1(ζ	NOUN
ejpam-5005	100	9	)	)	PUNCT
ejpam-5005	100	10	and	and	CCONJ
ejpam-5005	100	11	m	m	PRON
ejpam-5005	100	12	{	{	PUNCT
ejpam-5005	100	13	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	100	14	)	)	PUNCT
ejpam-5005	100	15	}	}	PUNCT
ejpam-5005	100	16	=	=	SYM
ejpam-5005	100	17	φ2(ζ	φ2(ζ	X
ejpam-5005	100	18	)	)	PUNCT
ejpam-5005	100	19	then	then	ADV
ejpam-5005	100	20	m	m	VERB
ejpam-5005	100	21	{	{	PUNCT
ejpam-5005	100	22	qφ1(ξ	qφ1(ξ	PROPN
ejpam-5005	100	23	)	)	PUNCT
ejpam-5005	100	24	+	+	CCONJ
ejpam-5005	100	25	pφ2(ξ	pφ2(ξ	NOUN
ejpam-5005	100	26	)	)	PUNCT
ejpam-5005	100	27	}	}	PUNCT
ejpam-5005	101	1	=	=	PUNCT
ejpam-5005	101	2	qφ1(ζ	qφ1(ζ	NOUN
ejpam-5005	101	3	)	)	PUNCT
ejpam-5005	101	4	+	+	PUNCT
ejpam-5005	101	5	pφ2(ζ	pφ2(ζ	NOUN
ejpam-5005	101	6	)	)	PUNCT
ejpam-5005	101	7	,	,	PUNCT
ejpam-5005	101	8	where	where	SCONJ
ejpam-5005	101	9	q	q	NOUN
ejpam-5005	101	10	and	and	CCONJ
ejpam-5005	101	11	p	p	NOUN
ejpam-5005	101	12	are	be	AUX
ejpam-5005	101	13	constants	constant	NOUN
ejpam-5005	101	14	.	.	PUNCT
ejpam-5005	102	1	proof	proof	NOUN
ejpam-5005	102	2	.	.	PUNCT
ejpam-5005	103	1	by	by	ADP
ejpam-5005	103	2	the	the	DET
ejpam-5005	103	3	definition	definition	NOUN
ejpam-5005	103	4	1	1	NUM
ejpam-5005	103	5	of	of	ADP
ejpam-5005	103	6	m.t	m.t	PROPN
ejpam-5005	103	7	.	.	PROPN
ejpam-5005	103	8	,	,	PUNCT
ejpam-5005	103	9	we	we	PRON
ejpam-5005	103	10	obtain	obtain	VERB
ejpam-5005	103	11	m	m	VERB
ejpam-5005	103	12	{	{	PUNCT
ejpam-5005	103	13	qφ1(ξ	qφ1(ξ	PROPN
ejpam-5005	103	14	)	)	PUNCT
ejpam-5005	103	15	+	+	CCONJ
ejpam-5005	103	16	pφ2(ξ	pφ2(ξ	NOUN
ejpam-5005	103	17	)	)	PUNCT
ejpam-5005	103	18	}	}	PUNCT
ejpam-5005	104	1	=	=	SYM
ejpam-5005	104	2	ζ2	ζ2	NOUN
ejpam-5005	104	3	∫	∫	PROPN
ejpam-5005	104	4	∞	∞	PROPN
ejpam-5005	104	5	0	0	NUM
ejpam-5005	105	1	e−ζξ	e−ζξ	PROPN
ejpam-5005	106	1	[	[	X
ejpam-5005	106	2	qφ2(ξ	qφ2(ξ	X
ejpam-5005	106	3	)	)	PUNCT
ejpam-5005	106	4	+	+	NUM
ejpam-5005	106	5	pφ2(ξ	pφ2(ξ	NOUN
ejpam-5005	106	6	)	)	PUNCT
ejpam-5005	106	7	]	]	PUNCT
ejpam-5005	107	1	dξ	dξ	PROPN
ejpam-5005	107	2	(	(	PUNCT
ejpam-5005	107	3	3	3	X
ejpam-5005	107	4	)	)	PUNCT
ejpam-5005	107	5	=	=	VERB
ejpam-5005	107	6	ζ2	ζ2	NOUN
ejpam-5005	107	7	∫	∫	PROPN
ejpam-5005	107	8	∞	∞	PROPN
ejpam-5005	107	9	0	0	NUM
ejpam-5005	108	1	e−ζξqφ1(ξ)dξ	e−ζξqφ1(ξ)dξ	PROPN
ejpam-5005	108	2	+	+	CCONJ
ejpam-5005	108	3	ζ2	ζ2	NOUN
ejpam-5005	108	4	∫	∫	NOUN
ejpam-5005	108	5	∞	∞	PROPN
ejpam-5005	108	6	0	0	NUM
ejpam-5005	108	7	e−ζξpφ2(ξ)dξ	e−ζξpφ2(ξ)dξ	NOUN
ejpam-5005	108	8	=	=	PUNCT
ejpam-5005	108	9	qζ2	qζ2	NOUN
ejpam-5005	108	10	∫	∫	PROPN
ejpam-5005	108	11	∞	∞	PROPN
ejpam-5005	108	12	0	0	NUM
ejpam-5005	109	1	e−ζξφ1(ξ)dξ	e−ζξφ1(ξ)dξ	NOUN
ejpam-5005	110	1	+	+	CCONJ
ejpam-5005	111	1	pζ2	pζ2	NUM
ejpam-5005	111	2	∫	∫	NOUN
ejpam-5005	111	3	∞	∞	NOUN
ejpam-5005	111	4	0	0	NUM
ejpam-5005	111	5	e−ζξφ2(ξ)dξ	e−ζξφ2(ξ)dξ	PROPN
ejpam-5005	111	6	=	=	SYM
ejpam-5005	111	7	qφ1(ζ	qφ1(ζ	NOUN
ejpam-5005	111	8	)	)	PUNCT
ejpam-5005	111	9	+	+	PUNCT
ejpam-5005	111	10	pφ2(ζ	pφ2(ζ	NOUN
ejpam-5005	111	11	)	)	PUNCT
ejpam-5005	111	12	.	.	PUNCT
ejpam-5005	112	1	(	(	PUNCT
ejpam-5005	112	2	4	4	X
ejpam-5005	112	3	)	)	PUNCT
ejpam-5005	112	4	moreover	moreover	ADV
ejpam-5005	112	5	,	,	PUNCT
ejpam-5005	112	6	the	the	DET
ejpam-5005	112	7	inverse	inverse	NOUN
ejpam-5005	112	8	m.t	m.t	PROPN
ejpam-5005	112	9	.	.	PROPN
ejpam-5005	112	10	is	be	AUX
ejpam-5005	112	11	linear	linear	ADJ
ejpam-5005	112	12	;	;	PUNCT
ejpam-5005	112	13	if	if	SCONJ
ejpam-5005	112	14	m−1	m−1	PROPN
ejpam-5005	112	15	{	{	PUNCT
ejpam-5005	112	16	φ1(ζ	φ1(ζ	NOUN
ejpam-5005	112	17	)	)	PUNCT
ejpam-5005	112	18	}	}	PUNCT
ejpam-5005	112	19	=	=	SYM
ejpam-5005	112	20	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	112	21	)	)	PUNCT
ejpam-5005	112	22	and	and	CCONJ
ejpam-5005	112	23	m−1	m−1	PROPN
ejpam-5005	112	24	{	{	PUNCT
ejpam-5005	112	25	φ2(ζ	φ2(ζ	NOUN
ejpam-5005	112	26	)	)	PUNCT
ejpam-5005	112	27	}	}	PUNCT
ejpam-5005	112	28	=	=	SYM
ejpam-5005	112	29	φ2(ξ	φ2(ξ	NUM
ejpam-5005	112	30	)	)	PUNCT
ejpam-5005	112	31	.	.	PUNCT
ejpam-5005	113	1	(	(	PUNCT
ejpam-5005	113	2	5	5	NUM
ejpam-5005	113	3	)	)	PUNCT
ejpam-5005	113	4	then	then	ADV
ejpam-5005	113	5	,	,	PUNCT
ejpam-5005	113	6	m−1	m−1	PROPN
ejpam-5005	113	7	{	{	PUNCT
ejpam-5005	113	8	qφ1(ζ	qφ1(ζ	PROPN
ejpam-5005	113	9	)	)	PUNCT
ejpam-5005	113	10	+	+	PUNCT
ejpam-5005	113	11	pφ2(ζ	pφ2(ζ	NOUN
ejpam-5005	113	12	)	)	PUNCT
ejpam-5005	113	13	}	}	PUNCT
ejpam-5005	113	14	=	=	PUNCT
ejpam-5005	113	15	qm−1	qm−1	NOUN
ejpam-5005	113	16	{	{	PUNCT
ejpam-5005	113	17	φ1(ζ)}+	φ1(ζ)}+	NOUN
ejpam-5005	113	18	pm−1	pm−1	NOUN
ejpam-5005	113	19	{	{	PUNCT
ejpam-5005	113	20	φ1(ζ	φ1(ζ	NOUN
ejpam-5005	113	21	)	)	PUNCT
ejpam-5005	113	22	}	}	PUNCT
ejpam-5005	113	23	=	=	SYM
ejpam-5005	113	24	qφ1(ξ	qφ1(ξ	NOUN
ejpam-5005	113	25	)	)	PUNCT
ejpam-5005	113	26	+	+	CCONJ
ejpam-5005	113	27	pφ2(ξ	pφ2(ξ	NOUN
ejpam-5005	113	28	)	)	PUNCT
ejpam-5005	113	29	(	(	PUNCT
ejpam-5005	113	30	6	6	X
ejpam-5005	113	31	)	)	PUNCT
ejpam-5005	113	32	d.	d.	PROPN
ejpam-5005	113	33	k.	k.	PROPN
ejpam-5005	113	34	almutairi	almutairi	PROPN
ejpam-5005	113	35	et	et	PROPN
ejpam-5005	113	36	al	al	PROPN
ejpam-5005	113	37	.	.	PUNCT
ejpam-5005	113	38	/	/	SYM
ejpam-5005	113	39	eur	eur	PROPN
ejpam-5005	113	40	.	.	PUNCT
ejpam-5005	114	1	j.	j.	PROPN
ejpam-5005	114	2	pure	pure	PROPN
ejpam-5005	114	3	appl	appl	PROPN
ejpam-5005	114	4	.	.	PROPN
ejpam-5005	114	5	math	math	PROPN
ejpam-5005	114	6	,	,	PUNCT
ejpam-5005	114	7	17	17	NUM
ejpam-5005	114	8	(	(	PUNCT
ejpam-5005	114	9	1	1	NUM
ejpam-5005	114	10	)	)	PUNCT
ejpam-5005	114	11	(	(	PUNCT
ejpam-5005	114	12	2024	2024	NUM
ejpam-5005	114	13	)	)	PUNCT
ejpam-5005	114	14	,	,	PUNCT
ejpam-5005	114	15	385	385	NUM
ejpam-5005	114	16	-	-	SYM
ejpam-5005	114	17	409	409	NUM
ejpam-5005	114	18	390	390	NUM
ejpam-5005	114	19	(	(	PUNCT
ejpam-5005	114	20	ii	ii	NOUN
ejpam-5005	114	21	)	)	PUNCT
ejpam-5005	114	22	change	change	NOUN
ejpam-5005	114	23	of	of	ADP
ejpam-5005	114	24	scale	scale	NOUN
ejpam-5005	114	25	property	property	NOUN
ejpam-5005	114	26	if	if	SCONJ
ejpam-5005	114	27	m.t	m.t	PROPN
ejpam-5005	114	28	.	.	PROPN
ejpam-5005	114	29	of	of	ADP
ejpam-5005	114	30	a	a	DET
ejpam-5005	114	31	function	function	NOUN
ejpam-5005	114	32	φ(ξ	φ(ξ	NOUN
ejpam-5005	114	33	)	)	PUNCT
ejpam-5005	114	34	is	be	AUX
ejpam-5005	114	35	φ(ζ	φ(ζ	NOUN
ejpam-5005	114	36	)	)	PUNCT
ejpam-5005	114	37	,	,	PUNCT
ejpam-5005	114	38	then	then	ADV
ejpam-5005	114	39	m.t	m.t	PROPN
ejpam-5005	114	40	.	.	PROPN
ejpam-5005	114	41	of	of	ADP
ejpam-5005	114	42	the	the	DET
ejpam-5005	114	43	function	function	NOUN
ejpam-5005	114	44	φ(aξ	φ(aξ	PROPN
ejpam-5005	114	45	)	)	PUNCT
ejpam-5005	114	46	is	be	AUX
ejpam-5005	114	47	given	give	VERB
ejpam-5005	114	48	by	by	ADP
ejpam-5005	114	49	aφ	aφ	ADP
ejpam-5005	114	50	(	(	PUNCT
ejpam-5005	114	51	ζ	ζ	NOUN
ejpam-5005	114	52	a	a	NOUN
ejpam-5005	114	53	)	)	PUNCT
ejpam-5005	114	54	,	,	PUNCT
ejpam-5005	114	55	where	where	SCONJ
ejpam-5005	114	56	a	a	PRON
ejpam-5005	114	57	is	be	AUX
ejpam-5005	114	58	non	non	ADJ
ejpam-5005	114	59	zero	zero	NUM
ejpam-5005	114	60	constant	constant	ADJ
ejpam-5005	114	61	.	.	PUNCT
ejpam-5005	115	1	proof	proof	NOUN
ejpam-5005	115	2	.	.	PUNCT
ejpam-5005	116	1	by	by	ADP
ejpam-5005	116	2	the	the	DET
ejpam-5005	116	3	definition	definition	NOUN
ejpam-5005	116	4	1	1	NUM
ejpam-5005	116	5	of	of	ADP
ejpam-5005	116	6	m.t	m.t	PROPN
ejpam-5005	116	7	.	.	PROPN
ejpam-5005	116	8	,	,	PUNCT
ejpam-5005	116	9	we	we	PRON
ejpam-5005	116	10	get	get	VERB
ejpam-5005	116	11	m{φ(aξ	m{φ(aξ	NOUN
ejpam-5005	116	12	)	)	PUNCT
ejpam-5005	116	13	}	}	PUNCT
ejpam-5005	116	14	=	=	SYM
ejpam-5005	116	15	ζ2	ζ2	NOUN
ejpam-5005	116	16	∫	∫	NOUN
ejpam-5005	116	17	∞	∞	PROPN
ejpam-5005	116	18	0	0	NUM
ejpam-5005	116	19	e−ζξφ(aξ)dξ	e−ζξφ(aξ)dξ	X
ejpam-5005	116	20	.	.	PUNCT
ejpam-5005	117	1	(	(	PUNCT
ejpam-5005	117	2	7	7	X
ejpam-5005	117	3	)	)	PUNCT
ejpam-5005	117	4	letting	let	VERB
ejpam-5005	117	5	aξ	aξ	INTJ
ejpam-5005	117	6	=	=	SYM
ejpam-5005	117	7	u	u	NOUN
ejpam-5005	117	8	,	,	PUNCT
ejpam-5005	117	9	then	then	ADV
ejpam-5005	117	10	adξ	adξ	PROPN
ejpam-5005	117	11	=	=	SYM
ejpam-5005	117	12	du	du	PROPN
ejpam-5005	117	13	,	,	PUNCT
ejpam-5005	117	14	then	then	ADV
ejpam-5005	117	15	we	we	PRON
ejpam-5005	117	16	substitute	substitute	VERB
ejpam-5005	117	17	in	in	ADP
ejpam-5005	117	18	equation	equation	NOUN
ejpam-5005	117	19	(	(	PUNCT
ejpam-5005	117	20	7	7	NUM
ejpam-5005	117	21	)	)	PUNCT
ejpam-5005	117	22	.	.	PUNCT
ejpam-5005	118	1	m{φ(aξ	m{φ(aξ	VERB
ejpam-5005	118	2	)	)	PUNCT
ejpam-5005	118	3	}	}	PUNCT
ejpam-5005	118	4	=	=	SYM
ejpam-5005	118	5	ζ2	ζ2	NOUN
ejpam-5005	118	6	∫	∫	NOUN
ejpam-5005	118	7	∞	∞	NOUN
ejpam-5005	118	8	0	0	NUM
ejpam-5005	119	1	e−	e−	PROPN
ejpam-5005	119	2	(	(	PUNCT
ejpam-5005	119	3	ζ	ζ	PROPN
ejpam-5005	119	4	a)uφ(u	a)uφ(u	PROPN
ejpam-5005	119	5	)	)	PUNCT
ejpam-5005	119	6	du	du	NOUN
ejpam-5005	119	7	a	a	PROPN
ejpam-5005	119	8	=	=	PUNCT
ejpam-5005	119	9	a	a	DET
ejpam-5005	119	10	[	[	PUNCT
ejpam-5005	119	11	ζ2	ζ2	NOUN
ejpam-5005	119	12	a2	a2	PROPN
ejpam-5005	119	13	∫	∫	PROPN
ejpam-5005	119	14	∞	∞	NOUN
ejpam-5005	119	15	0	0	NUM
ejpam-5005	120	1	e−	e−	PROPN
ejpam-5005	120	2	(	(	PUNCT
ejpam-5005	120	3	ζ	ζ	NOUN
ejpam-5005	120	4	a)uφ(u)du	a)uφ(u)du	NOUN
ejpam-5005	120	5	]	]	PUNCT
ejpam-5005	120	6	=	=	PUNCT
ejpam-5005	120	7	aφ	aφ	NOUN
ejpam-5005	120	8	(	(	PUNCT
ejpam-5005	120	9	ζ	ζ	NOUN
ejpam-5005	120	10	a	a	NOUN
ejpam-5005	120	11	)	)	PUNCT
ejpam-5005	120	12	.	.	PUNCT
ejpam-5005	121	1	(	(	PUNCT
ejpam-5005	121	2	8)	8)	NUM
ejpam-5005	121	3	(	(	PUNCT
ejpam-5005	121	4	iii	iii	NOUN
ejpam-5005	121	5	)	)	PUNCT
ejpam-5005	121	6	shifting	shift	VERB
ejpam-5005	121	7	property	property	NOUN
ejpam-5005	121	8	of	of	ADP
ejpam-5005	121	9	m.t	m.t	PROPN
ejpam-5005	121	10	.	.	PUNCT
ejpam-5005	122	1	if	if	SCONJ
ejpam-5005	122	2	m.t	m.t	PROPN
ejpam-5005	122	3	.	.	PROPN
ejpam-5005	122	4	of	of	ADP
ejpam-5005	122	5	a	a	DET
ejpam-5005	122	6	function	function	NOUN
ejpam-5005	122	7	φ(ξ	φ(ξ	NOUN
ejpam-5005	122	8	)	)	PUNCT
ejpam-5005	122	9	is	be	AUX
ejpam-5005	122	10	φ(ζ	φ(ζ	NOUN
ejpam-5005	122	11	)	)	PUNCT
ejpam-5005	122	12	,	,	PUNCT
ejpam-5005	122	13	then	then	ADV
ejpam-5005	122	14	m.t	m.t	PROPN
ejpam-5005	122	15	.	.	PROPN
ejpam-5005	122	16	of	of	ADP
ejpam-5005	122	17	the	the	DET
ejpam-5005	122	18	function	function	NOUN
ejpam-5005	122	19	ekξφ(ξ	ekξφ(ξ	NOUN
ejpam-5005	122	20	)	)	PUNCT
ejpam-5005	122	21	is	be	AUX
ejpam-5005	122	22	given	give	VERB
ejpam-5005	122	23	by	by	ADP
ejpam-5005	122	24	ζ2	ζ2	NOUN
ejpam-5005	122	25	(	(	PUNCT
ejpam-5005	122	26	ζ	ζ	NOUN
ejpam-5005	122	27	−	−	PROPN
ejpam-5005	122	28	k	k	NOUN
ejpam-5005	122	29	)	)	PUNCT
ejpam-5005	122	30	φ(ζ	φ(ζ	NOUN
ejpam-5005	122	31	−	−	PROPN
ejpam-5005	123	1	k	k	NOUN
ejpam-5005	123	2	)	)	PUNCT
ejpam-5005	123	3	,	,	PUNCT
ejpam-5005	123	4	where	where	SCONJ
ejpam-5005	123	5	k	k	PROPN
ejpam-5005	123	6	∈	∈	PROPN
ejpam-5005	123	7	r.	r.	NOUN
ejpam-5005	123	8	proof	proof	NOUN
ejpam-5005	123	9	.	.	PUNCT
ejpam-5005	124	1	by	by	ADP
ejpam-5005	124	2	the	the	DET
ejpam-5005	124	3	definition	definition	NOUN
ejpam-5005	124	4	1	1	NUM
ejpam-5005	124	5	of	of	ADP
ejpam-5005	124	6	m.t	m.t	PROPN
ejpam-5005	124	7	.	.	PROPN
ejpam-5005	124	8	,	,	PUNCT
ejpam-5005	124	9	we	we	PRON
ejpam-5005	124	10	get	get	VERB
ejpam-5005	124	11	m	m	PRON
ejpam-5005	124	12	{	{	PUNCT
ejpam-5005	124	13	ekξφ(ξ	ekξφ(ξ	NOUN
ejpam-5005	124	14	)	)	PUNCT
ejpam-5005	124	15	}	}	PUNCT
ejpam-5005	125	1	=	=	SYM
ejpam-5005	125	2	ζ2	ζ2	NOUN
ejpam-5005	125	3	∫	∫	NOUN
ejpam-5005	125	4	∞	∞	NUM
ejpam-5005	125	5	0	0	NUM
ejpam-5005	125	6	e−ζξekξφ(ξ)dξ	e−ζξekξφ(ξ)dξ	NOUN
ejpam-5005	125	7	=	=	PUNCT
ejpam-5005	125	8	ζ2	ζ2	NOUN
ejpam-5005	125	9	∫	∫	NOUN
ejpam-5005	125	10	∞	∞	PROPN
ejpam-5005	125	11	0	0	NUM
ejpam-5005	125	12	e−(ζ−k)ξφ(ξ)dξ	e−(ζ−k)ξφ(ξ)dξ	PROPN
ejpam-5005	126	1	=	=	PUNCT
ejpam-5005	126	2	(	(	PUNCT
ejpam-5005	126	3	ζ	ζ	PROPN
ejpam-5005	126	4	−k)2	−k)2	PROPN
ejpam-5005	126	5	(	(	PUNCT
ejpam-5005	126	6	ζ	ζ	NOUN
ejpam-5005	126	7	−k)2	−k)2	PROPN
ejpam-5005	126	8	ζ2	ζ2	NOUN
ejpam-5005	126	9	∫	∫	PROPN
ejpam-5005	126	10	∞	∞	PROPN
ejpam-5005	126	11	0	0	NUM
ejpam-5005	126	12	e−(ζ−k)ξφ(ξ)dξ	e−(ζ−k)ξφ(ξ)dξ	PROPN
ejpam-5005	126	13	=	=	NOUN
ejpam-5005	126	14	ζ2	ζ2	NOUN
ejpam-5005	126	15	(	(	PUNCT
ejpam-5005	126	16	ζ	ζ	NOUN
ejpam-5005	126	17	−k	−k	ADJ
ejpam-5005	126	18	)	)	PUNCT
ejpam-5005	126	19	φ(ζ	φ(ζ	NOUN
ejpam-5005	126	20	−	−	PUNCT
ejpam-5005	126	21	k	k	NOUN
ejpam-5005	126	22	)	)	PUNCT
ejpam-5005	126	23	.	.	PUNCT
ejpam-5005	127	1	(	(	PUNCT
ejpam-5005	127	2	9	9	X
ejpam-5005	127	3	)	)	PUNCT
ejpam-5005	127	4	now	now	ADV
ejpam-5005	127	5	,	,	PUNCT
ejpam-5005	127	6	we	we	PRON
ejpam-5005	127	7	introduce	introduce	VERB
ejpam-5005	127	8	the	the	DET
ejpam-5005	127	9	m.t	m.t	PROPN
ejpam-5005	127	10	.	.	PROPN
ejpam-5005	127	11	of	of	ADP
ejpam-5005	127	12	some	some	DET
ejpam-5005	127	13	basic	basic	ADJ
ejpam-5005	127	14	functions	function	NOUN
ejpam-5005	127	15	in	in	ADP
ejpam-5005	127	16	table	table	NOUN
ejpam-5005	127	17	1	1	NUM
ejpam-5005	127	18	.	.	X
ejpam-5005	127	19	2.2	2.2	NUM
ejpam-5005	127	20	.	.	PUNCT
ejpam-5005	128	1	relations	relation	NOUN
ejpam-5005	128	2	to	to	ADP
ejpam-5005	128	3	other	other	ADJ
ejpam-5005	128	4	integral	integral	ADJ
ejpam-5005	128	5	transforms	transform	NOUN
ejpam-5005	128	6	in	in	ADP
ejpam-5005	128	7	this	this	DET
ejpam-5005	128	8	section	section	NOUN
ejpam-5005	128	9	,	,	PUNCT
ejpam-5005	128	10	we	we	PRON
ejpam-5005	128	11	discuss	discuss	VERB
ejpam-5005	128	12	the	the	DET
ejpam-5005	128	13	duality	duality	NOUN
ejpam-5005	128	14	between	between	ADP
ejpam-5005	128	15	m.t	m.t	PROPN
ejpam-5005	128	16	.	.	PROPN
ejpam-5005	129	1	and	and	CCONJ
ejpam-5005	129	2	some	some	DET
ejpam-5005	129	3	other	other	ADJ
ejpam-5005	129	4	famous	famous	ADJ
ejpam-5005	129	5	transforms	transform	NOUN
ejpam-5005	129	6	.	.	PUNCT
ejpam-5005	130	1	•	•	NUM
ejpam-5005	130	2	laplace	laplace	NOUN
ejpam-5005	130	3	transform	transform	NOUN
ejpam-5005	130	4	if	if	SCONJ
ejpam-5005	130	5	l{φ(ξ	l{φ(ξ	NOUN
ejpam-5005	130	6	)	)	PUNCT
ejpam-5005	130	7	}	}	PUNCT
ejpam-5005	130	8	=	=	SYM
ejpam-5005	130	9	∫∞	∫∞	NOUN
ejpam-5005	130	10	0	0	SYM
ejpam-5005	130	11	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	130	12	is	be	AUX
ejpam-5005	130	13	the	the	DET
ejpam-5005	130	14	laplace	laplace	NOUN
ejpam-5005	130	15	transform	transform	NOUN
ejpam-5005	130	16	of	of	ADP
ejpam-5005	130	17	φ(ξ	φ(ξ	PROPN
ejpam-5005	130	18	)	)	PUNCT
ejpam-5005	130	19	,	,	PUNCT
ejpam-5005	130	20	then	then	ADV
ejpam-5005	130	21	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	130	22	)	)	PUNCT
ejpam-5005	130	23	}	}	PUNCT
ejpam-5005	130	24	=	=	SYM
ejpam-5005	130	25	ζ2l{φ(ξ	ζ2l{φ(ξ	PROPN
ejpam-5005	130	26	)	)	PUNCT
ejpam-5005	130	27	}	}	PUNCT
ejpam-5005	130	28	.	.	PUNCT
ejpam-5005	131	1	proof	proof	NOUN
ejpam-5005	131	2	.	.	PUNCT
ejpam-5005	132	1	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	132	2	)	)	PUNCT
ejpam-5005	132	3	}	}	PUNCT
ejpam-5005	132	4	=	=	SYM
ejpam-5005	132	5	ζ2	ζ2	NOUN
ejpam-5005	133	1	[	[	X
ejpam-5005	133	2	∫	∫	PROPN
ejpam-5005	133	3	∞	∞	PROPN
ejpam-5005	133	4	0	0	NUM
ejpam-5005	133	5	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	133	6	]	]	PUNCT
ejpam-5005	133	7	=	=	SYM
ejpam-5005	133	8	ζ2l{φ(ξ	ζ2l{φ(ξ	PROPN
ejpam-5005	133	9	)	)	PUNCT
ejpam-5005	133	10	}	}	PUNCT
ejpam-5005	133	11	.	.	PUNCT
ejpam-5005	134	1	(	(	PUNCT
ejpam-5005	134	2	10	10	NUM
ejpam-5005	134	3	)	)	PUNCT
ejpam-5005	134	4	d.	d.	PROPN
ejpam-5005	134	5	k.	k.	PROPN
ejpam-5005	134	6	almutairi	almutairi	PROPN
ejpam-5005	134	7	et	et	PROPN
ejpam-5005	134	8	al	al	PROPN
ejpam-5005	134	9	.	.	PUNCT
ejpam-5005	134	10	/	/	SYM
ejpam-5005	134	11	eur	eur	PROPN
ejpam-5005	134	12	.	.	PUNCT
ejpam-5005	135	1	j.	j.	PROPN
ejpam-5005	135	2	pure	pure	PROPN
ejpam-5005	135	3	appl	appl	PROPN
ejpam-5005	135	4	.	.	PROPN
ejpam-5005	135	5	math	math	PROPN
ejpam-5005	135	6	,	,	PUNCT
ejpam-5005	135	7	17	17	NUM
ejpam-5005	135	8	(	(	PUNCT
ejpam-5005	135	9	1	1	NUM
ejpam-5005	135	10	)	)	PUNCT
ejpam-5005	135	11	(	(	PUNCT
ejpam-5005	135	12	2024	2024	NUM
ejpam-5005	135	13	)	)	PUNCT
ejpam-5005	135	14	,	,	PUNCT
ejpam-5005	135	15	385	385	NUM
ejpam-5005	135	16	-	-	SYM
ejpam-5005	135	17	409	409	NUM
ejpam-5005	135	18	391	391	NUM
ejpam-5005	135	19	table	table	NOUN
ejpam-5005	135	20	1	1	NUM
ejpam-5005	135	21	:	:	PUNCT
ejpam-5005	135	22	m.t	m.t	PROPN
ejpam-5005	135	23	.	.	PROPN
ejpam-5005	135	24	of	of	ADP
ejpam-5005	135	25	some	some	DET
ejpam-5005	135	26	elementary	elementary	ADJ
ejpam-5005	135	27	functions	function	NOUN
ejpam-5005	135	28	.	.	PUNCT
ejpam-5005	136	1	functions	function	NOUN
ejpam-5005	136	2	φ(ξ	φ(ξ	NOUN
ejpam-5005	136	3	)	)	PUNCT
ejpam-5005	136	4	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	136	5	)	)	PUNCT
ejpam-5005	136	6	}	}	PUNCT
ejpam-5005	136	7	=	=	SYM
ejpam-5005	136	8	φ(ζ	φ(ζ	NOUN
ejpam-5005	136	9	)	)	PUNCT
ejpam-5005	136	10	1	1	NUM
ejpam-5005	136	11	ζ	ζ	SYM
ejpam-5005	136	12	ξ	ξ	SYM
ejpam-5005	136	13	1	1	NUM
ejpam-5005	136	14	ξ2	ξ2	NOUN
ejpam-5005	136	15	2	2	NUM
ejpam-5005	136	16	!	!	X
ejpam-5005	136	17	ζ	ζ	PROPN
ejpam-5005	136	18	ξα	ξα	NOUN
ejpam-5005	136	19	,	,	PUNCT
ejpam-5005	136	20	α	α	NOUN
ejpam-5005	136	21	>	>	X
ejpam-5005	136	22	0	0	NUM
ejpam-5005	136	23	γ(α+1	γ(α+1	NOUN
ejpam-5005	136	24	)	)	PUNCT
ejpam-5005	136	25	ζα−1	ζα−1	NOUN
ejpam-5005	136	26	eαξ	eαξ	NOUN
ejpam-5005	136	27	ζ2	ζ2	NOUN
ejpam-5005	136	28	ζ−α	ζ−α	NOUN
ejpam-5005	136	29	sin(αξ	sin(αξ	NOUN
ejpam-5005	136	30	)	)	PUNCT
ejpam-5005	136	31	αζ2	αζ2	NOUN
ejpam-5005	136	32	ζ2+α2	ζ2+α2	PRON
ejpam-5005	136	33	cos(αξ	cos(αξ	NOUN
ejpam-5005	136	34	)	)	PUNCT
ejpam-5005	136	35	ζ3	ζ3	NOUN
ejpam-5005	136	36	ζ2+α2	ζ2+α2	PROPN
ejpam-5005	136	37	sinh(αξ	sinh(αξ	NOUN
ejpam-5005	136	38	)	)	PUNCT
ejpam-5005	136	39	αζ2	αζ2	NOUN
ejpam-5005	136	40	ζ2−α2	ζ2−α2	NUM
ejpam-5005	136	41	cosh(αξ	cosh(αξ	NOUN
ejpam-5005	136	42	)	)	PUNCT
ejpam-5005	136	43	ζ3	ζ3	NOUN
ejpam-5005	136	44	ζ2−α2	ζ2−α2	PRON
ejpam-5005	136	45	•	•	NOUN
ejpam-5005	136	46	sumudu	sumudu	NOUN
ejpam-5005	136	47	transform	transform	VERB
ejpam-5005	136	48	if	if	SCONJ
ejpam-5005	136	49	s{φ(ξ	s{φ(ξ	NOUN
ejpam-5005	136	50	)	)	PUNCT
ejpam-5005	136	51	}	}	PUNCT
ejpam-5005	137	1	=	=	SYM
ejpam-5005	137	2	1	1	NUM
ejpam-5005	137	3	ζ	ζ	NOUN
ejpam-5005	137	4	∫∞	∫∞	NOUN
ejpam-5005	137	5	0	0	PUNCT
ejpam-5005	138	1	e	e	NOUN
ejpam-5005	138	2	−	−	PROPN
ejpam-5005	138	3	ξ	ξ	X
ejpam-5005	138	4	ζφ(ξ)dξ	ζφ(ξ)dξ	PROPN
ejpam-5005	138	5	is	be	AUX
ejpam-5005	138	6	the	the	DET
ejpam-5005	138	7	sumudu	sumudu	NOUN
ejpam-5005	138	8	transform	transform	NOUN
ejpam-5005	138	9	of	of	ADP
ejpam-5005	138	10	φ(ξ	φ(ξ	PROPN
ejpam-5005	138	11	)	)	PUNCT
ejpam-5005	138	12	,	,	PUNCT
ejpam-5005	138	13	then	then	ADV
ejpam-5005	138	14	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	138	15	)	)	PUNCT
ejpam-5005	138	16	}	}	PUNCT
ejpam-5005	139	1	=	=	SYM
ejpam-5005	139	2	1	1	NUM
ejpam-5005	139	3	ζ	ζ	NOUN
ejpam-5005	139	4	s{φ(ξ	s{φ(ξ	NOUN
ejpam-5005	139	5	)	)	PUNCT
ejpam-5005	139	6	}	}	PUNCT
ejpam-5005	139	7	.	.	PUNCT
ejpam-5005	140	1	proof	proof	NOUN
ejpam-5005	140	2	.	.	PUNCT
ejpam-5005	141	1	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	141	2	)	)	PUNCT
ejpam-5005	141	3	}	}	PUNCT
ejpam-5005	141	4	=	=	SYM
ejpam-5005	141	5	ζ2	ζ2	NOUN
ejpam-5005	141	6	∫	∫	NOUN
ejpam-5005	141	7	∞	∞	PROPN
ejpam-5005	141	8	0	0	NUM
ejpam-5005	141	9	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	141	10	=	=	PUNCT
ejpam-5005	141	11	φ(ζ	φ(ζ	NOUN
ejpam-5005	141	12	)	)	PUNCT
ejpam-5005	141	13	.	.	PUNCT
ejpam-5005	142	1	moreover	moreover	ADV
ejpam-5005	142	2	,	,	PUNCT
ejpam-5005	142	3	φ	φ	X
ejpam-5005	142	4	(	(	PUNCT
ejpam-5005	142	5	1	1	NUM
ejpam-5005	142	6	ζ	ζ	NOUN
ejpam-5005	142	7	)	)	PUNCT
ejpam-5005	142	8	=	=	SYM
ejpam-5005	142	9	1	1	NUM
ejpam-5005	142	10	ζ2	ζ2	NOUN
ejpam-5005	142	11	∫	∫	NOUN
ejpam-5005	142	12	∞	∞	NOUN
ejpam-5005	142	13	0	0	PUNCT
ejpam-5005	142	14	e	e	NOUN
ejpam-5005	142	15	−	−	PROPN
ejpam-5005	142	16	1	1	NUM
ejpam-5005	142	17	ζ	ζ	NOUN
ejpam-5005	142	18	ξ	ξ	PRON
ejpam-5005	142	19	φ(ξ)dξ	φ(ξ)dξ	X
ejpam-5005	142	20	=	=	SYM
ejpam-5005	142	21	1	1	NUM
ejpam-5005	142	22	ζ	ζ	NOUN
ejpam-5005	142	23	[	[	PUNCT
ejpam-5005	142	24	1	1	NUM
ejpam-5005	142	25	ζ	ζ	NOUN
ejpam-5005	142	26	∫	∫	NOUN
ejpam-5005	142	27	∞	∞	NOUN
ejpam-5005	142	28	0	0	PUNCT
ejpam-5005	142	29	e	e	NOUN
ejpam-5005	142	30	−ξ	−ξ	NOUN
ejpam-5005	142	31	(	(	PUNCT
ejpam-5005	142	32	1	1	NUM
ejpam-5005	142	33	ζ	ζ	NOUN
ejpam-5005	142	34	)	)	PUNCT
ejpam-5005	142	35	φ(ξ)dξ	φ(ξ)dξ	X
ejpam-5005	142	36	]	]	PUNCT
ejpam-5005	142	37	=	=	SYM
ejpam-5005	142	38	1	1	NUM
ejpam-5005	142	39	ζ	ζ	NOUN
ejpam-5005	142	40	s{φ(ξ	s{φ(ξ	NOUN
ejpam-5005	142	41	)	)	PUNCT
ejpam-5005	142	42	}	}	PUNCT
ejpam-5005	142	43	.	.	PUNCT
ejpam-5005	143	1	(	(	PUNCT
ejpam-5005	143	2	11	11	NUM
ejpam-5005	143	3	)	)	PUNCT
ejpam-5005	143	4	•	•	NOUN
ejpam-5005	143	5	aboodh	aboodh	PROPN
ejpam-5005	143	6	transform	transform	VERB
ejpam-5005	143	7	if	if	SCONJ
ejpam-5005	143	8	a{φ(ξ	a{φ(ξ	VERB
ejpam-5005	143	9	)	)	PUNCT
ejpam-5005	143	10	}	}	PUNCT
ejpam-5005	143	11	=	=	SYM
ejpam-5005	143	12	1	1	NUM
ejpam-5005	143	13	ζ	ζ	NOUN
ejpam-5005	143	14	∫∞	∫∞	NOUN
ejpam-5005	143	15	0	0	SYM
ejpam-5005	143	16	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	143	17	is	be	AUX
ejpam-5005	143	18	the	the	DET
ejpam-5005	143	19	aboodh	aboodh	ADJ
ejpam-5005	143	20	transform	transform	NOUN
ejpam-5005	143	21	of	of	ADP
ejpam-5005	143	22	φ(ξ	φ(ξ	PROPN
ejpam-5005	143	23	)	)	PUNCT
ejpam-5005	143	24	,	,	PUNCT
ejpam-5005	143	25	then	then	ADV
ejpam-5005	143	26	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	143	27	)	)	PUNCT
ejpam-5005	143	28	}	}	PUNCT
ejpam-5005	144	1	=	=	SYM
ejpam-5005	144	2	ζ3a{φ(ξ	ζ3a{φ(ξ	PROPN
ejpam-5005	144	3	)	)	PUNCT
ejpam-5005	144	4	}	}	PUNCT
ejpam-5005	144	5	.	.	PUNCT
ejpam-5005	145	1	proof	proof	NOUN
ejpam-5005	145	2	.	.	PUNCT
ejpam-5005	146	1	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	146	2	)	)	PUNCT
ejpam-5005	146	3	}	}	PUNCT
ejpam-5005	146	4	=	=	SYM
ejpam-5005	146	5	ζ2	ζ2	NOUN
ejpam-5005	146	6	∫	∫	NOUN
ejpam-5005	146	7	∞	∞	PROPN
ejpam-5005	146	8	0	0	NUM
ejpam-5005	146	9	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	146	10	=	=	PUNCT
ejpam-5005	146	11	φ(ζ	φ(ζ	NOUN
ejpam-5005	146	12	)	)	PUNCT
ejpam-5005	146	13	.	.	PUNCT
ejpam-5005	147	1	moreover	moreover	ADV
ejpam-5005	147	2	,	,	PUNCT
ejpam-5005	147	3	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	147	4	)	)	PUNCT
ejpam-5005	147	5	}	}	PUNCT
ejpam-5005	147	6	=	=	SYM
ejpam-5005	147	7	ζ3	ζ3	NOUN
ejpam-5005	147	8	[	[	PUNCT
ejpam-5005	147	9	1	1	NUM
ejpam-5005	147	10	ζ	ζ	NOUN
ejpam-5005	147	11	∫	∫	NOUN
ejpam-5005	147	12	∞	∞	PROPN
ejpam-5005	147	13	0	0	NUM
ejpam-5005	147	14	e−ξζφ(ξ)dξ	e−ξζφ(ξ)dξ	PROPN
ejpam-5005	147	15	]	]	PUNCT
ejpam-5005	147	16	=	=	PUNCT
ejpam-5005	147	17	ζ3a{φ(ξ	ζ3a{φ(ξ	PROPN
ejpam-5005	147	18	)	)	PUNCT
ejpam-5005	147	19	}	}	PUNCT
ejpam-5005	147	20	(	(	PUNCT
ejpam-5005	147	21	12	12	NUM
ejpam-5005	147	22	)	)	PUNCT
ejpam-5005	147	23	•	•	NOUN
ejpam-5005	147	24	formable	formable	ADJ
ejpam-5005	147	25	transform	transform	VERB
ejpam-5005	147	26	d.	d.	PROPN
ejpam-5005	147	27	k.	k.	PROPN
ejpam-5005	147	28	almutairi	almutairi	PROPN
ejpam-5005	147	29	et	et	PROPN
ejpam-5005	147	30	al	al	PROPN
ejpam-5005	147	31	.	.	PUNCT
ejpam-5005	147	32	/	/	SYM
ejpam-5005	147	33	eur	eur	PROPN
ejpam-5005	147	34	.	.	PUNCT
ejpam-5005	148	1	j.	j.	PROPN
ejpam-5005	148	2	pure	pure	PROPN
ejpam-5005	148	3	appl	appl	PROPN
ejpam-5005	148	4	.	.	PROPN
ejpam-5005	148	5	math	math	PROPN
ejpam-5005	148	6	,	,	PUNCT
ejpam-5005	148	7	17	17	NUM
ejpam-5005	148	8	(	(	PUNCT
ejpam-5005	148	9	1	1	NUM
ejpam-5005	148	10	)	)	PUNCT
ejpam-5005	148	11	(	(	PUNCT
ejpam-5005	148	12	2024	2024	NUM
ejpam-5005	148	13	)	)	PUNCT
ejpam-5005	148	14	,	,	PUNCT
ejpam-5005	148	15	385	385	NUM
ejpam-5005	148	16	-	-	SYM
ejpam-5005	148	17	409	409	NUM
ejpam-5005	148	18	392	392	NUM
ejpam-5005	148	19	if	if	SCONJ
ejpam-5005	148	20	b(ζ	b(ζ	PROPN
ejpam-5005	148	21	,	,	PUNCT
ejpam-5005	148	22	u	u	NOUN
ejpam-5005	148	23	)	)	PUNCT
ejpam-5005	148	24	=	=	SYM
ejpam-5005	148	25	ζ	ζ	NOUN
ejpam-5005	148	26	∫∞	∫∞	NOUN
ejpam-5005	148	27	0	0	PUNCT
ejpam-5005	148	28	e−ζξφ(uξ)dξ	e−ζξφ(uξ)dξ	PROPN
ejpam-5005	148	29	is	be	AUX
ejpam-5005	148	30	the	the	DET
ejpam-5005	148	31	formable	formable	ADJ
ejpam-5005	148	32	transform	transform	NOUN
ejpam-5005	148	33	of	of	ADP
ejpam-5005	148	34	φ(uξ	φ(uξ	NOUN
ejpam-5005	148	35	)	)	PUNCT
ejpam-5005	148	36	,	,	PUNCT
ejpam-5005	148	37	then	then	ADV
ejpam-5005	148	38	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	148	39	)	)	PUNCT
ejpam-5005	148	40	}	}	PUNCT
ejpam-5005	148	41	=	=	PUNCT
ejpam-5005	148	42	ζb(ζ	ζb(ζ	ADJ
ejpam-5005	148	43	,	,	PUNCT
ejpam-5005	148	44	1	1	NUM
ejpam-5005	148	45	)	)	PUNCT
ejpam-5005	148	46	.	.	PUNCT
ejpam-5005	149	1	proof	proof	NOUN
ejpam-5005	149	2	.	.	PUNCT
ejpam-5005	150	1	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	150	2	)	)	PUNCT
ejpam-5005	150	3	}	}	PUNCT
ejpam-5005	150	4	=	=	SYM
ejpam-5005	150	5	ζ2	ζ2	NOUN
ejpam-5005	150	6	∫	∫	NOUN
ejpam-5005	150	7	∞	∞	PROPN
ejpam-5005	150	8	0	0	NUM
ejpam-5005	151	1	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	151	2	=	=	SYM
ejpam-5005	151	3	ζ	ζ	NOUN
ejpam-5005	151	4	[	[	PUNCT
ejpam-5005	151	5	ζ	ζ	NOUN
ejpam-5005	151	6	∫	∫	NOUN
ejpam-5005	151	7	∞	∞	PROPN
ejpam-5005	151	8	0	0	NUM
ejpam-5005	152	1	e−ζξφ(ξ)dξ	e−ζξφ(ξ)dξ	PROPN
ejpam-5005	152	2	]	]	PUNCT
ejpam-5005	152	3	=	=	SYM
ejpam-5005	152	4	ζb(ζ	ζb(ζ	PROPN
ejpam-5005	152	5	,	,	PUNCT
ejpam-5005	152	6	1	1	NUM
ejpam-5005	152	7	)	)	PUNCT
ejpam-5005	152	8	(	(	PUNCT
ejpam-5005	152	9	13	13	NUM
ejpam-5005	152	10	)	)	PUNCT
ejpam-5005	152	11	•	•	NOUN
ejpam-5005	152	12	ara	ara	NOUN
ejpam-5005	152	13	transform	transform	VERB
ejpam-5005	152	14	if	if	SCONJ
ejpam-5005	152	15	g(n	g(n	PROPN
ejpam-5005	152	16	,	,	PUNCT
ejpam-5005	152	17	ζ	ζ	NOUN
ejpam-5005	152	18	)	)	PUNCT
ejpam-5005	152	19	=	=	SYM
ejpam-5005	152	20	ζ	ζ	NOUN
ejpam-5005	152	21	∫∞	∫∞	NOUN
ejpam-5005	152	22	0	0	NUM
ejpam-5005	152	23	ξn−1e−ζξφ(ξ)dξ	ξn−1e−ζξφ(ξ)dξ	NOUN
ejpam-5005	152	24	is	be	AUX
ejpam-5005	152	25	the	the	DET
ejpam-5005	152	26	ara	ara	PROPN
ejpam-5005	152	27	transform	transform	NOUN
ejpam-5005	152	28	of	of	ADP
ejpam-5005	152	29	φ(ξ	φ(ξ	PROPN
ejpam-5005	152	30	)	)	PUNCT
ejpam-5005	152	31	,	,	PUNCT
ejpam-5005	152	32	then	then	ADV
ejpam-5005	152	33	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	152	34	)	)	PUNCT
ejpam-5005	152	35	}	}	PUNCT
ejpam-5005	153	1	=	=	PUNCT
ejpam-5005	153	2	ζg	ζg	NOUN
ejpam-5005	153	3	{	{	PUNCT
ejpam-5005	153	4	ξn−1φ(ξ	ξn−1φ(ξ	NOUN
ejpam-5005	153	5	)	)	PUNCT
ejpam-5005	153	6	}	}	PUNCT
ejpam-5005	153	7	proof	proof	NOUN
ejpam-5005	153	8	.	.	PUNCT
ejpam-5005	154	1	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	154	2	)	)	PUNCT
ejpam-5005	154	3	}	}	PUNCT
ejpam-5005	154	4	=	=	SYM
ejpam-5005	154	5	ζ2	ζ2	NOUN
ejpam-5005	154	6	∫	∫	NOUN
ejpam-5005	154	7	∞	∞	PROPN
ejpam-5005	154	8	0	0	NUM
ejpam-5005	155	1	e−ζtφ(ξ)dξ	e−ζtφ(ξ)dξ	PROPN
ejpam-5005	155	2	=	=	SYM
ejpam-5005	155	3	ζ	ζ	PROPN
ejpam-5005	155	4	[	[	PUNCT
ejpam-5005	155	5	ζ	ζ	NOUN
ejpam-5005	155	6	∫	∫	NOUN
ejpam-5005	155	7	∞	∞	PROPN
ejpam-5005	155	8	0	0	NUM
ejpam-5005	155	9	e−ζξξn−1φ(ξ)dξ	e−ζξξn−1φ(ξ)dξ	NOUN
ejpam-5005	155	10	]	]	PUNCT
ejpam-5005	155	11	=	=	PUNCT
ejpam-5005	155	12	ζg	ζg	X
ejpam-5005	155	13	{	{	PUNCT
ejpam-5005	155	14	ξn−1φ(ξ	ξn−1φ(ξ	NUM
ejpam-5005	155	15	)	)	PUNCT
ejpam-5005	155	16	}	}	PUNCT
ejpam-5005	155	17	(	(	PUNCT
ejpam-5005	155	18	14	14	NUM
ejpam-5005	155	19	)	)	PUNCT
ejpam-5005	155	20	2.3	2.3	NUM
ejpam-5005	155	21	.	.	PUNCT
ejpam-5005	156	1	m.t	m.t	PROPN
ejpam-5005	156	2	.	.	PROPN
ejpam-5005	156	3	for	for	ADP
ejpam-5005	156	4	derivatives	derivative	NOUN
ejpam-5005	156	5	if	if	SCONJ
ejpam-5005	156	6	m{φ(ξ	m{φ(ξ	NOUN
ejpam-5005	156	7	)	)	PUNCT
ejpam-5005	156	8	}	}	PUNCT
ejpam-5005	156	9	=	=	PUNCT
ejpam-5005	156	10	φ(ζ	φ(ζ	NOUN
ejpam-5005	156	11	)	)	PUNCT
ejpam-5005	156	12	,	,	PUNCT
ejpam-5005	156	13	then	then	ADV
ejpam-5005	156	14	(	(	PUNCT
ejpam-5005	156	15	i	i	NOUN
ejpam-5005	156	16	)	)	PUNCT
ejpam-5005	156	17	m	m	VERB
ejpam-5005	156	18	{	{	PUNCT
ejpam-5005	156	19	φ′(ξ	φ′(ξ	NOUN
ejpam-5005	156	20	)	)	PUNCT
ejpam-5005	156	21	}	}	PUNCT
ejpam-5005	156	22	=	=	SYM
ejpam-5005	156	23	ζφ(ζ)−	ζφ(ζ)−	NOUN
ejpam-5005	156	24	ζ2φ(0	ζ2φ(0	PROPN
ejpam-5005	156	25	)	)	PUNCT
ejpam-5005	156	26	.	.	PUNCT
ejpam-5005	157	1	(	(	PUNCT
ejpam-5005	157	2	15	15	NUM
ejpam-5005	157	3	)	)	PUNCT
ejpam-5005	157	4	(	(	PUNCT
ejpam-5005	157	5	ii	ii	NOUN
ejpam-5005	157	6	)	)	PUNCT
ejpam-5005	157	7	m	m	PROPN
ejpam-5005	157	8	{	{	PUNCT
ejpam-5005	157	9	φ′′(ξ	φ′′(ξ	NOUN
ejpam-5005	157	10	)	)	PUNCT
ejpam-5005	157	11	}	}	PUNCT
ejpam-5005	158	1	=	=	SYM
ejpam-5005	158	2	ζ2φ(ζ)−	ζ2φ(ζ)−	X
ejpam-5005	158	3	ζ3φ(0)−	ζ3φ(0)−	NOUN
ejpam-5005	158	4	ζ2φ′(0	ζ2φ′(0	NUM
ejpam-5005	158	5	)	)	PUNCT
ejpam-5005	158	6	.	.	PUNCT
ejpam-5005	159	1	(	(	PUNCT
ejpam-5005	159	2	16	16	NUM
ejpam-5005	159	3	)	)	PUNCT
ejpam-5005	159	4	(	(	PUNCT
ejpam-5005	159	5	iii	iii	X
ejpam-5005	159	6	)	)	PUNCT
ejpam-5005	159	7	m	m	VERB
ejpam-5005	159	8	{	{	PUNCT
ejpam-5005	159	9	φ(n)(ξ	φ(n)(ξ	X
ejpam-5005	159	10	)	)	PUNCT
ejpam-5005	159	11	}	}	PUNCT
ejpam-5005	159	12	=	=	SYM
ejpam-5005	159	13	ζnφ(ζ)−	ζnφ(ζ)−	PROPN
ejpam-5005	159	14	n−1∑	n−1∑	PROPN
ejpam-5005	159	15	k=0	k=0	PROPN
ejpam-5005	159	16	ζn−k+1φ(k)(0	ζn−k+1φ(k)(0	PROPN
ejpam-5005	159	17	)	)	PUNCT
ejpam-5005	159	18	.	.	PUNCT
ejpam-5005	160	1	(	(	PUNCT
ejpam-5005	160	2	17	17	NUM
ejpam-5005	160	3	)	)	PUNCT
ejpam-5005	160	4	proof	proof	NOUN
ejpam-5005	160	5	.	.	PUNCT
ejpam-5005	161	1	to	to	ADP
ejpam-5005	161	2	proof	proof	NOUN
ejpam-5005	161	3	(	(	PUNCT
ejpam-5005	161	4	i	i	NOUN
ejpam-5005	161	5	)	)	PUNCT
ejpam-5005	161	6	,	,	PUNCT
ejpam-5005	161	7	by	by	ADP
ejpam-5005	161	8	definition	definition	NOUN
ejpam-5005	161	9	1	1	NUM
ejpam-5005	161	10	of	of	ADP
ejpam-5005	161	11	the	the	DET
ejpam-5005	161	12	m.t	m.t	PROPN
ejpam-5005	161	13	.	.	PROPN
ejpam-5005	161	14	,	,	PUNCT
ejpam-5005	161	15	we	we	PRON
ejpam-5005	161	16	have	have	VERB
ejpam-5005	161	17	m	m	PRON
ejpam-5005	161	18	{	{	PUNCT
ejpam-5005	161	19	φ′(ξ	φ′(ξ	NOUN
ejpam-5005	161	20	)	)	PUNCT
ejpam-5005	161	21	}	}	PUNCT
ejpam-5005	162	1	=	=	SYM
ejpam-5005	162	2	ζ2	ζ2	NOUN
ejpam-5005	162	3	∫	∫	NOUN
ejpam-5005	162	4	∞	∞	PROPN
ejpam-5005	162	5	0	0	NUM
ejpam-5005	162	6	e−ζξφ′(ξ)dξ	e−ζξφ′(ξ)dξ	X
ejpam-5005	162	7	.	.	PUNCT
ejpam-5005	163	1	(	(	PUNCT
ejpam-5005	163	2	18	18	NUM
ejpam-5005	163	3	)	)	PUNCT
ejpam-5005	163	4	using	use	VERB
ejpam-5005	163	5	integration	integration	NOUN
ejpam-5005	163	6	by	by	ADP
ejpam-5005	163	7	parts	part	NOUN
ejpam-5005	163	8	,	,	PUNCT
ejpam-5005	163	9	we	we	PRON
ejpam-5005	163	10	have	have	VERB
ejpam-5005	163	11	u	u	NOUN
ejpam-5005	163	12	=	=	NOUN
ejpam-5005	163	13	e−ζξ	e−ζξ	PROPN
ejpam-5005	163	14	and	and	CCONJ
ejpam-5005	163	15	dv	dv	PROPN
ejpam-5005	163	16	=	=	PROPN
ejpam-5005	163	17	φ′(ξ	φ′(ξ	PROPN
ejpam-5005	163	18	)	)	PUNCT
ejpam-5005	163	19	,	,	PUNCT
ejpam-5005	163	20	du	du	PROPN
ejpam-5005	163	21	=	=	SYM
ejpam-5005	163	22	−ζe−ζξ	−ζe−ζξ	PROPN
ejpam-5005	163	23	,	,	PUNCT
ejpam-5005	163	24	v	v	NOUN
ejpam-5005	163	25	=	=	SYM
ejpam-5005	163	26	φ(ξ	φ(ξ	PROPN
ejpam-5005	163	27	)	)	PUNCT
ejpam-5005	163	28	.	.	PUNCT
ejpam-5005	164	1	then	then	ADV
ejpam-5005	164	2	the	the	DET
ejpam-5005	164	3	equation	equation	NOUN
ejpam-5005	164	4	(	(	PUNCT
ejpam-5005	164	5	18	18	NUM
ejpam-5005	164	6	)	)	PUNCT
ejpam-5005	164	7	becomes	become	VERB
ejpam-5005	164	8	,	,	PUNCT
ejpam-5005	164	9	m	m	VERB
ejpam-5005	164	10	{	{	PUNCT
ejpam-5005	164	11	φ′(ξ	φ′(ξ	NOUN
ejpam-5005	164	12	)	)	PUNCT
ejpam-5005	164	13	}	}	PUNCT
ejpam-5005	165	1	=	=	SYM
ejpam-5005	165	2	ζφ(ζ)−	ζφ(ζ)−	NOUN
ejpam-5005	165	3	ζ2φ(0	ζ2φ(0	PROPN
ejpam-5005	165	4	)	)	PUNCT
ejpam-5005	165	5	.	.	PUNCT
ejpam-5005	166	1	(	(	PUNCT
ejpam-5005	166	2	19	19	NUM
ejpam-5005	166	3	)	)	PUNCT
ejpam-5005	166	4	to	to	ADP
ejpam-5005	166	5	proof	proof	NOUN
ejpam-5005	166	6	(	(	PUNCT
ejpam-5005	166	7	ii	ii	NOUN
ejpam-5005	166	8	)	)	PUNCT
ejpam-5005	166	9	,	,	PUNCT
ejpam-5005	166	10	we	we	PRON
ejpam-5005	166	11	use	use	VERB
ejpam-5005	166	12	the	the	DET
ejpam-5005	166	13	definition	definition	NOUN
ejpam-5005	166	14	1	1	NUM
ejpam-5005	166	15	of	of	ADP
ejpam-5005	166	16	m.t	m.t	PROPN
ejpam-5005	166	17	.	.	PROPN
ejpam-5005	166	18	,	,	PUNCT
ejpam-5005	166	19	m	m	VERB
ejpam-5005	166	20	{	{	PUNCT
ejpam-5005	166	21	φ′′(ξ	φ′′(ξ	NOUN
ejpam-5005	166	22	)	)	PUNCT
ejpam-5005	166	23	}	}	PUNCT
ejpam-5005	167	1	=	=	PUNCT
ejpam-5005	167	2	m	m	PRON
ejpam-5005	167	3	{	{	PUNCT
ejpam-5005	167	4	(	(	PUNCT
ejpam-5005	167	5	φ′(ξ))′	φ′(ξ))′	PROPN
ejpam-5005	167	6	}	}	PUNCT
ejpam-5005	167	7	.	.	PUNCT
ejpam-5005	168	1	d.	d.	PROPN
ejpam-5005	168	2	k.	k.	PROPN
ejpam-5005	168	3	almutairi	almutairi	PROPN
ejpam-5005	168	4	et	et	PROPN
ejpam-5005	168	5	al	al	PROPN
ejpam-5005	168	6	.	.	PUNCT
ejpam-5005	168	7	/	/	SYM
ejpam-5005	168	8	eur	eur	PROPN
ejpam-5005	168	9	.	.	PUNCT
ejpam-5005	169	1	j.	j.	PROPN
ejpam-5005	169	2	pure	pure	PROPN
ejpam-5005	169	3	appl	appl	PROPN
ejpam-5005	169	4	.	.	PROPN
ejpam-5005	169	5	math	math	PROPN
ejpam-5005	169	6	,	,	PUNCT
ejpam-5005	169	7	17	17	NUM
ejpam-5005	169	8	(	(	PUNCT
ejpam-5005	169	9	1	1	NUM
ejpam-5005	169	10	)	)	PUNCT
ejpam-5005	169	11	(	(	PUNCT
ejpam-5005	169	12	2024	2024	NUM
ejpam-5005	169	13	)	)	PUNCT
ejpam-5005	169	14	,	,	PUNCT
ejpam-5005	169	15	385	385	NUM
ejpam-5005	169	16	-	-	SYM
ejpam-5005	169	17	409	409	NUM
ejpam-5005	169	18	393	393	NUM
ejpam-5005	169	19	using	use	VERB
ejpam-5005	169	20	part	part	NOUN
ejpam-5005	169	21	(	(	PUNCT
ejpam-5005	169	22	i	i	NOUN
ejpam-5005	169	23	)	)	PUNCT
ejpam-5005	169	24	.	.	PUNCT
ejpam-5005	170	1	m	m	VERB
ejpam-5005	170	2	{	{	PUNCT
ejpam-5005	170	3	φ′′(ξ	φ′′(ξ	NOUN
ejpam-5005	170	4	)	)	PUNCT
ejpam-5005	170	5	}	}	PUNCT
ejpam-5005	171	1	=	=	PUNCT
ejpam-5005	171	2	ζm	ζm	VERB
ejpam-5005	171	3	{	{	PUNCT
ejpam-5005	171	4	φ′(ξ	φ′(ξ	NOUN
ejpam-5005	171	5	)	)	PUNCT
ejpam-5005	171	6	}	}	PUNCT
ejpam-5005	171	7	−	−	ADP
ejpam-5005	171	8	ζ2φ′(0	ζ2φ′(0	NOUN
ejpam-5005	171	9	)	)	PUNCT
ejpam-5005	171	10	=	=	SYM
ejpam-5005	171	11	ζ	ζ	NOUN
ejpam-5005	171	12	[	[	PUNCT
ejpam-5005	171	13	ζφ(ζ)−	ζφ(ζ)−	NOUN
ejpam-5005	171	14	ζ2φ(0	ζ2φ(0	PROPN
ejpam-5005	171	15	)	)	PUNCT
ejpam-5005	171	16	]	]	PUNCT
ejpam-5005	171	17	−	−	PROPN
ejpam-5005	172	1	ζ2φ′(0	ζ2φ′(0	NOUN
ejpam-5005	172	2	)	)	PUNCT
ejpam-5005	172	3	=	=	SYM
ejpam-5005	173	1	ζ2φ(ζ)−	ζ2φ(ζ)−	X
ejpam-5005	173	2	ζ3φ(0)−	ζ3φ(0)−	NOUN
ejpam-5005	173	3	ζ2φ′(0	ζ2φ′(0	NUM
ejpam-5005	173	4	)	)	PUNCT
ejpam-5005	173	5	.	.	PUNCT
ejpam-5005	174	1	(	(	PUNCT
ejpam-5005	174	2	20	20	NUM
ejpam-5005	174	3	)	)	PUNCT
ejpam-5005	174	4	proof	proof	NOUN
ejpam-5005	174	5	(	(	PUNCT
ejpam-5005	174	6	iii	iii	NOUN
ejpam-5005	174	7	)	)	PUNCT
ejpam-5005	174	8	.	.	PUNCT
ejpam-5005	175	1	by	by	ADP
ejpam-5005	175	2	induction	induction	NOUN
ejpam-5005	175	3	,	,	PUNCT
ejpam-5005	175	4	for	for	ADP
ejpam-5005	175	5	n	n	NOUN
ejpam-5005	175	6	=	=	SYM
ejpam-5005	175	7	1	1	NUM
ejpam-5005	175	8	its	its	PRON
ejpam-5005	175	9	true	true	ADJ
ejpam-5005	175	10	from	from	ADP
ejpam-5005	175	11	part	part	NOUN
ejpam-5005	175	12	(	(	PUNCT
ejpam-5005	175	13	i	i	NOUN
ejpam-5005	175	14	)	)	PUNCT
ejpam-5005	175	15	.	.	PUNCT
ejpam-5005	176	1	now	now	ADV
ejpam-5005	176	2	,	,	PUNCT
ejpam-5005	176	3	assume	assume	VERB
ejpam-5005	176	4	that	that	SCONJ
ejpam-5005	176	5	the	the	DET
ejpam-5005	176	6	equation	equation	NOUN
ejpam-5005	176	7	(	(	PUNCT
ejpam-5005	176	8	17	17	NUM
ejpam-5005	176	9	)	)	PUNCT
ejpam-5005	176	10	is	be	AUX
ejpam-5005	176	11	true	true	ADJ
ejpam-5005	176	12	for	for	ADP
ejpam-5005	176	13	n	n	PROPN
ejpam-5005	176	14	=	=	SYM
ejpam-5005	176	15	k	k	NOUN
ejpam-5005	176	16	,	,	PUNCT
ejpam-5005	176	17	then	then	ADV
ejpam-5005	176	18	m	m	PRON
ejpam-5005	176	19	{	{	PUNCT
ejpam-5005	176	20	φ(k)(ξ	φ(k)(ξ	NOUN
ejpam-5005	176	21	)	)	PUNCT
ejpam-5005	176	22	}	}	PUNCT
ejpam-5005	177	1	=	=	PUNCT
ejpam-5005	177	2	ζkφ(ζ)−	ζkφ(ζ)−	PROPN
ejpam-5005	177	3	ζk+1φ(0)−	ζk+1φ(0)−	PROPN
ejpam-5005	177	4	ζkφ′(0)−	ζkφ′(0)−	NOUN
ejpam-5005	177	5	·	·	PUNCT
ejpam-5005	177	6	·	·	PUNCT
ejpam-5005	177	7	·	·	PUNCT
ejpam-5005	178	1	−	−	PROPN
ejpam-5005	178	2	ζ2φ(k−1)(0	ζ2φ(k−1)(0	ADV
ejpam-5005	178	3	)	)	PUNCT
ejpam-5005	178	4	.	.	PUNCT
ejpam-5005	179	1	(	(	PUNCT
ejpam-5005	179	2	21	21	NUM
ejpam-5005	179	3	)	)	PUNCT
ejpam-5005	179	4	now	now	ADV
ejpam-5005	179	5	,	,	PUNCT
ejpam-5005	179	6	we	we	PRON
ejpam-5005	179	7	prove	prove	VERB
ejpam-5005	179	8	it	it	PRON
ejpam-5005	179	9	for	for	ADP
ejpam-5005	179	10	n	n	NOUN
ejpam-5005	179	11	=	=	SYM
ejpam-5005	179	12	k	k	PROPN
ejpam-5005	180	1	+	+	PROPN
ejpam-5005	180	2	1	1	NUM
ejpam-5005	180	3	,	,	PUNCT
ejpam-5005	180	4	thus	thus	ADV
ejpam-5005	180	5	m	m	VERB
ejpam-5005	180	6	{	{	PUNCT
ejpam-5005	180	7	φ(k+1)(ξ	φ(k+1)(ξ	NOUN
ejpam-5005	180	8	)	)	PUNCT
ejpam-5005	180	9	}	}	PUNCT
ejpam-5005	180	10	=	=	PUNCT
ejpam-5005	180	11	m	m	VERB
ejpam-5005	180	12	{	{	PUNCT
ejpam-5005	180	13	(	(	PUNCT
ejpam-5005	180	14	φ(k)(ξ	φ(k)(ξ	NOUN
ejpam-5005	180	15	)	)	PUNCT
ejpam-5005	180	16	)	)	PUNCT
ejpam-5005	180	17	′	′	NUM
ejpam-5005	180	18	}	}	PUNCT
ejpam-5005	180	19	.	.	PUNCT
ejpam-5005	181	1	using	use	VERB
ejpam-5005	181	2	part	part	NOUN
ejpam-5005	181	3	(	(	PUNCT
ejpam-5005	181	4	i	i	NOUN
ejpam-5005	181	5	)	)	PUNCT
ejpam-5005	181	6	,	,	PUNCT
ejpam-5005	181	7	we	we	PRON
ejpam-5005	181	8	get	get	VERB
ejpam-5005	181	9	m	m	PRON
ejpam-5005	181	10	{	{	PUNCT
ejpam-5005	181	11	φ(k+1)(ξ	φ(k+1)(ξ	NOUN
ejpam-5005	181	12	)	)	PUNCT
ejpam-5005	181	13	}	}	PUNCT
ejpam-5005	181	14	=	=	SYM
ejpam-5005	181	15	ζk	ζk	PROPN
ejpam-5005	181	16	[	[	PUNCT
ejpam-5005	181	17	ζφ(ζ)−	ζφ(ζ)−	NOUN
ejpam-5005	181	18	ζ2φ(0	ζ2φ(0	PROPN
ejpam-5005	181	19	)	)	PUNCT
ejpam-5005	181	20	]	]	PUNCT
ejpam-5005	182	1	−	−	PROPN
ejpam-5005	182	2	ζk+1φ′(0)−	ζk+1φ′(0)−	NOUN
ejpam-5005	182	3	ζkφ′′(0)−	ζkφ′′(0)−	X
ejpam-5005	182	4	·	·	PUNCT
ejpam-5005	182	5	·	·	PUNCT
ejpam-5005	182	6	·	·	PUNCT
ejpam-5005	182	7	−	−	NUM
ejpam-5005	182	8	ζ2φ(k)(0	ζ2φ(k)(0	NOUN
ejpam-5005	182	9	)	)	PUNCT
ejpam-5005	182	10	=	=	PRON
ejpam-5005	182	11	ζnφ(ζ)−	ζnφ(ζ)−	PROPN
ejpam-5005	182	12	n−1∑	n−1∑	PROPN
ejpam-5005	182	13	k=0	k=0	PROPN
ejpam-5005	182	14	ζn−k+1φ(k)(0	ζn−k+1φ(k)(0	PROPN
ejpam-5005	182	15	)	)	PUNCT
ejpam-5005	182	16	.	.	PUNCT
ejpam-5005	183	1	(	(	PUNCT
ejpam-5005	183	2	22	22	NUM
ejpam-5005	183	3	)	)	PUNCT
ejpam-5005	183	4	3	3	NUM
ejpam-5005	183	5	.	.	X
ejpam-5005	183	6	m.t	m.t	PROPN
ejpam-5005	183	7	.	.	PROPN
ejpam-5005	183	8	for	for	ADP
ejpam-5005	183	9	solving	solve	VERB
ejpam-5005	183	10	system	system	NOUN
ejpam-5005	183	11	of	of	ADP
ejpam-5005	183	12	odes	ode	NOUN
ejpam-5005	183	13	in	in	ADP
ejpam-5005	183	14	this	this	DET
ejpam-5005	183	15	part	part	NOUN
ejpam-5005	183	16	,	,	PUNCT
ejpam-5005	183	17	we	we	PRON
ejpam-5005	183	18	solve	solve	VERB
ejpam-5005	183	19	systems	system	NOUN
ejpam-5005	183	20	of	of	ADP
ejpam-5005	183	21	ordinary	ordinary	ADJ
ejpam-5005	183	22	differential	differential	ADJ
ejpam-5005	183	23	equations	equation	NOUN
ejpam-5005	183	24	by	by	ADP
ejpam-5005	183	25	applying	apply	VERB
ejpam-5005	183	26	m.t	m.t	PROPN
ejpam-5005	183	27	..	..	PUNCT
ejpam-5005	183	28	consider	consider	VERB
ejpam-5005	183	29	the	the	DET
ejpam-5005	183	30	system	system	NOUN
ejpam-5005	183	31	of	of	ADP
ejpam-5005	183	32	first	first	ADJ
ejpam-5005	183	33	order	order	NOUN
ejpam-5005	183	34	of	of	ADP
ejpam-5005	183	35	odes	ode	NOUN
ejpam-5005	183	36	:	:	PUNCT
ejpam-5005	183	37	dφ1	dφ1	NOUN
ejpam-5005	183	38	dξ	dξ	PROPN
ejpam-5005	184	1	=	=	SYM
ejpam-5005	184	2	h11φ1(ξ	h11φ1(ξ	PROPN
ejpam-5005	184	3	)	)	PUNCT
ejpam-5005	185	1	+	+	NUM
ejpam-5005	185	2	h12φ2(ξ	h12φ2(ξ	NUM
ejpam-5005	185	3	)	)	PUNCT
ejpam-5005	186	1	+	+	CCONJ
ejpam-5005	186	2	h13φ3(ξ	h13φ3(ξ	NUM
ejpam-5005	186	3	)	)	PUNCT
ejpam-5005	187	1	+	+	CCONJ
ejpam-5005	187	2	·	·	PUNCT
ejpam-5005	187	3	·	·	PUNCT
ejpam-5005	187	4	·	·	PUNCT
ejpam-5005	187	5	+	+	NUM
ejpam-5005	187	6	h1nφn(ξ	h1nφn(ξ	NUM
ejpam-5005	187	7	)	)	PUNCT
ejpam-5005	188	1	+	+	CCONJ
ejpam-5005	189	1	ρ1(ξ	ρ1(ξ	X
ejpam-5005	189	2	)	)	PUNCT
ejpam-5005	189	3	,	,	PUNCT
ejpam-5005	189	4	dφ2	dφ2	X
ejpam-5005	189	5	dξ	dξ	PROPN
ejpam-5005	189	6	=	=	PUNCT
ejpam-5005	189	7	h21φ1(ξ	h21φ1(ξ	PROPN
ejpam-5005	189	8	)	)	PUNCT
ejpam-5005	190	1	+	+	SYM
ejpam-5005	190	2	h22φ2(ξ	h22φ2(ξ	NUM
ejpam-5005	190	3	)	)	PUNCT
ejpam-5005	191	1	+	+	NUM
ejpam-5005	191	2	h23φ3(ξ	h23φ3(ξ	NOUN
ejpam-5005	191	3	)	)	PUNCT
ejpam-5005	192	1	+	+	CCONJ
ejpam-5005	192	2	·	·	PUNCT
ejpam-5005	192	3	·	·	PUNCT
ejpam-5005	192	4	·	·	PUNCT
ejpam-5005	192	5	+	+	NUM
ejpam-5005	192	6	h2nφn(ξ	h2nφn(ξ	NUM
ejpam-5005	192	7	)	)	PUNCT
ejpam-5005	192	8	+	+	NUM
ejpam-5005	192	9	ρ2(ξ	ρ2(ξ	NUM
ejpam-5005	192	10	)	)	PUNCT
ejpam-5005	192	11	,	,	PUNCT
ejpam-5005	192	12	·	·	PUNCT
ejpam-5005	192	13	·	·	PUNCT
ejpam-5005	192	14	dφn	dφn	VERB
ejpam-5005	192	15	dξ	dξ	NOUN
ejpam-5005	192	16	=	=	SYM
ejpam-5005	192	17	hn1φ1(ξ	hn1φ1(ξ	ADV
ejpam-5005	192	18	)	)	PUNCT
ejpam-5005	192	19	+	+	NUM
ejpam-5005	192	20	hn2φ2(ξ	hn2φ2(ξ	X
ejpam-5005	192	21	)	)	PUNCT
ejpam-5005	193	1	+	+	SYM
ejpam-5005	193	2	hn3φ3(ξ	hn3φ3(ξ	NOUN
ejpam-5005	193	3	)	)	PUNCT
ejpam-5005	194	1	+	+	CCONJ
ejpam-5005	194	2	·	·	PUNCT
ejpam-5005	194	3	·	·	PUNCT
ejpam-5005	194	4	·	·	PUNCT
ejpam-5005	194	5	+	+	NUM
ejpam-5005	194	6	hnnφn(ξ	hnnφn(ξ	PROPN
ejpam-5005	194	7	)	)	PUNCT
ejpam-5005	195	1	+	+	NUM
ejpam-5005	196	1	ρn(ξ	ρn(ξ	NOUN
ejpam-5005	196	2	)	)	PUNCT
ejpam-5005	196	3	.	.	PUNCT
ejpam-5005	197	1			NOUN
ejpam-5005	197	2	(	(	PUNCT
ejpam-5005	197	3	23	23	NUM
ejpam-5005	197	4	)	)	PUNCT
ejpam-5005	197	5	with	with	ADP
ejpam-5005	197	6	the	the	DET
ejpam-5005	197	7	initial	initial	ADJ
ejpam-5005	197	8	conditions	condition	NOUN
ejpam-5005	197	9	:	:	PUNCT
ejpam-5005	197	10	φ1(0	φ1(0	PROPN
ejpam-5005	197	11	)	)	PUNCT
ejpam-5005	197	12	=	=	SYM
ejpam-5005	197	13	b1	b1	NOUN
ejpam-5005	197	14	,	,	PUNCT
ejpam-5005	197	15	φ2(0	φ2(0	ADV
ejpam-5005	197	16	)	)	PUNCT
ejpam-5005	197	17	=	=	SYM
ejpam-5005	197	18	b2	b2	NOUN
ejpam-5005	197	19	,	,	PUNCT
ejpam-5005	197	20	.	.	PUNCT
ejpam-5005	197	21	.	.	PUNCT
ejpam-5005	197	22	.	.	PUNCT
ejpam-5005	198	1	,	,	PUNCT
ejpam-5005	198	2	φn(0	φn(0	PROPN
ejpam-5005	198	3	)	)	PUNCT
ejpam-5005	198	4	=	=	SYM
ejpam-5005	198	5	bn	bn	PROPN
ejpam-5005	198	6	,	,	PUNCT
ejpam-5005	198	7	(	(	PUNCT
ejpam-5005	198	8	24	24	NUM
ejpam-5005	198	9	)	)	PUNCT
ejpam-5005	198	10	where	where	SCONJ
ejpam-5005	198	11	h11	h11	PROPN
ejpam-5005	198	12	,	,	PUNCT
ejpam-5005	198	13	h12	h12	PROPN
ejpam-5005	198	14	,	,	PUNCT
ejpam-5005	198	15	h13	h13	NOUN
ejpam-5005	198	16	,	,	PUNCT
ejpam-5005	198	17	.	.	PUNCT
ejpam-5005	198	18	.	.	PUNCT
ejpam-5005	198	19	.	.	PUNCT
ejpam-5005	199	1	,	,	PUNCT
ejpam-5005	199	2	hnn	hnn	PROPN
ejpam-5005	199	3	are	be	AUX
ejpam-5005	199	4	constants	constant	NOUN
ejpam-5005	199	5	,	,	PUNCT
ejpam-5005	199	6	and	and	CCONJ
ejpam-5005	199	7	φ1(ξ	φ1(ξ	NUM
ejpam-5005	199	8	)	)	PUNCT
ejpam-5005	199	9	,	,	PUNCT
ejpam-5005	199	10	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	199	11	)	)	PUNCT
ejpam-5005	199	12	,	,	PUNCT
ejpam-5005	199	13	.	.	PUNCT
ejpam-5005	199	14	.	.	PUNCT
ejpam-5005	200	1	.	.	PUNCT
ejpam-5005	201	1	,	,	PUNCT
ejpam-5005	201	2	φn(ξ	φn(ξ	NOUN
ejpam-5005	201	3	)	)	PUNCT
ejpam-5005	201	4	are	be	AUX
ejpam-5005	201	5	unknown	unknown	ADJ
ejpam-5005	201	6	continuous	continuous	ADJ
ejpam-5005	201	7	functions	function	NOUN
ejpam-5005	201	8	,	,	PUNCT
ejpam-5005	201	9	and	and	CCONJ
ejpam-5005	201	10	ρ1(ξ	ρ1(ξ	NUM
ejpam-5005	201	11	)	)	PUNCT
ejpam-5005	201	12	,	,	PUNCT
ejpam-5005	201	13	ρ2(ξ	ρ2(ξ	NUM
ejpam-5005	201	14	)	)	PUNCT
ejpam-5005	201	15	,	,	PUNCT
ejpam-5005	201	16	.	.	PUNCT
ejpam-5005	201	17	.	.	PUNCT
ejpam-5005	202	1	.	.	PUNCT
ejpam-5005	203	1	,	,	PUNCT
ejpam-5005	203	2	ρn(ξ	ρn(ξ	NOUN
ejpam-5005	203	3	)	)	PUNCT
ejpam-5005	203	4	are	be	AUX
ejpam-5005	203	5	known	know	VERB
ejpam-5005	203	6	continuous	continuous	ADJ
ejpam-5005	203	7	functions	function	NOUN
ejpam-5005	203	8	.	.	PUNCT
ejpam-5005	204	1	the	the	DET
ejpam-5005	204	2	matrix	matrix	NOUN
ejpam-5005	204	3	representation	representation	NOUN
ejpam-5005	204	4	of	of	ADP
ejpam-5005	204	5	system	system	NOUN
ejpam-5005	204	6	(	(	PUNCT
ejpam-5005	204	7	23	23	NUM
ejpam-5005	204	8	)	)	PUNCT
ejpam-5005	204	9	with	with	ADP
ejpam-5005	204	10	(	(	PUNCT
ejpam-5005	204	11	24	24	NUM
ejpam-5005	204	12	)	)	PUNCT
ejpam-5005	204	13	is	be	AUX
ejpam-5005	204	14	d.	d.	PROPN
ejpam-5005	204	15	k.	k.	PROPN
ejpam-5005	204	16	almutairi	almutairi	PROPN
ejpam-5005	204	17	et	et	PROPN
ejpam-5005	204	18	al	al	PROPN
ejpam-5005	204	19	.	.	PUNCT
ejpam-5005	204	20	/	/	SYM
ejpam-5005	204	21	eur	eur	PROPN
ejpam-5005	204	22	.	.	PUNCT
ejpam-5005	205	1	j.	j.	PROPN
ejpam-5005	205	2	pure	pure	PROPN
ejpam-5005	205	3	appl	appl	PROPN
ejpam-5005	205	4	.	.	PROPN
ejpam-5005	205	5	math	math	PROPN
ejpam-5005	205	6	,	,	PUNCT
ejpam-5005	205	7	17	17	NUM
ejpam-5005	205	8	(	(	PUNCT
ejpam-5005	205	9	1	1	NUM
ejpam-5005	205	10	)	)	PUNCT
ejpam-5005	205	11	(	(	PUNCT
ejpam-5005	205	12	2024	2024	NUM
ejpam-5005	205	13	)	)	PUNCT
ejpam-5005	205	14	,	,	PUNCT
ejpam-5005	205	15	385	385	NUM
ejpam-5005	205	16	-	-	SYM
ejpam-5005	205	17	409	409	NUM
ejpam-5005	205	18	394	394	NUM
ejpam-5005	205	19	dφ	dφ	ADP
ejpam-5005	205	20	dξ	dξ	PROPN
ejpam-5005	205	21	=	=	PUNCT
ejpam-5005	205	22	hφ(ξ	hφ(ξ	PUNCT
ejpam-5005	205	23	)	)	PUNCT
ejpam-5005	206	1	+	+	CCONJ
ejpam-5005	206	2	ρ(ξ	ρ(ξ	NOUN
ejpam-5005	206	3	)	)	PUNCT
ejpam-5005	206	4	,	,	PUNCT
ejpam-5005	206	5	with	with	ADP
ejpam-5005	206	6	φ(0	φ(0	ADJ
ejpam-5005	206	7	)	)	PUNCT
ejpam-5005	206	8	=	=	SYM
ejpam-5005	206	9	b	b	PROPN
ejpam-5005	206	10	,	,	PUNCT
ejpam-5005	206	11	(	(	PUNCT
ejpam-5005	206	12	25	25	NUM
ejpam-5005	206	13	)	)	PUNCT
ejpam-5005	206	14	where	where	SCONJ
ejpam-5005	206	15	dφ	dφ	INTJ
ejpam-5005	206	16	dξ	dξ	ADV
ejpam-5005	206	17	=	=	PUNCT
ejpam-5005	206	18			NOUN
ejpam-5005	206	19	dφ1	dφ1	VERB
ejpam-5005	206	20	dξ	dξ	PROPN
ejpam-5005	206	21	dφ2	dφ2	INTJ
ejpam-5005	206	22	dξ	dξ	INTJ
ejpam-5005	206	23	...	...	PUNCT
ejpam-5005	207	1	dφn	dφn	VERB
ejpam-5005	207	2	dξ	dξ	PROPN
ejpam-5005	207	3			NOUN
ejpam-5005	207	4	,	,	PUNCT
ejpam-5005	207	5	h	h	NOUN
ejpam-5005	207	6	=	=	NOUN
ejpam-5005	207	7			NOUN
ejpam-5005	207	8	h11	h11	PROPN
ejpam-5005	207	9	h12	h12	NOUN
ejpam-5005	207	10	·	·	PUNCT
ejpam-5005	207	11	·	·	PUNCT
ejpam-5005	207	12	·	·	PUNCT
ejpam-5005	208	1	h1n	h1n	AUX
ejpam-5005	208	2	h21	h21	NOUN
ejpam-5005	208	3	h22	h22	PROPN
ejpam-5005	208	4	·	·	PUNCT
ejpam-5005	208	5	·	·	PUNCT
ejpam-5005	208	6	·	·	PUNCT
ejpam-5005	208	7	h2n	h2n	PROPN
ejpam-5005	208	8	...	...	PUNCT
ejpam-5005	208	9	...	...	PUNCT
ejpam-5005	208	10	.	.	PUNCT
ejpam-5005	208	11	.	.	PUNCT
ejpam-5005	208	12	.	.	PUNCT
ejpam-5005	209	1	...	...	PUNCT
ejpam-5005	210	1	hn1	hn1	X
ejpam-5005	210	2	hn2	hn2	PROPN
ejpam-5005	210	3	·	·	PUNCT
ejpam-5005	210	4	·	·	PUNCT
ejpam-5005	210	5	·	·	PUNCT
ejpam-5005	211	1	hnn	hnn	PROPN
ejpam-5005	211	2			PROPN
ejpam-5005	211	3	,	,	PUNCT
ejpam-5005	211	4	φ(ξ	φ(ξ	PROPN
ejpam-5005	211	5	)	)	PUNCT
ejpam-5005	211	6	=	=	SYM
ejpam-5005	211	7			NOUN
ejpam-5005	211	8	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	211	9	)	)	PUNCT
ejpam-5005	211	10	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	211	11	)	)	PUNCT
ejpam-5005	211	12	...	...	PUNCT
ejpam-5005	211	13	φn(ξ	φn(ξ	X
ejpam-5005	211	14	)	)	PUNCT
ejpam-5005	211	15			VERB
ejpam-5005	211	16	,	,	PUNCT
ejpam-5005	211	17	ρ(ξ	ρ(ξ	PROPN
ejpam-5005	211	18	)	)	PUNCT
ejpam-5005	212	1	=	=	PUNCT
ejpam-5005	212	2			NOUN
ejpam-5005	212	3	ρ1(ξ	ρ1(ξ	X
ejpam-5005	212	4	)	)	PUNCT
ejpam-5005	212	5	ρ2(ξ	ρ2(ξ	NUM
ejpam-5005	212	6	)	)	PUNCT
ejpam-5005	212	7	...	...	PUNCT
ejpam-5005	212	8	ρn(ξ	ρn(ξ	X
ejpam-5005	212	9	)	)	PUNCT
ejpam-5005	212	10			ADJ
ejpam-5005	212	11	,	,	PUNCT
ejpam-5005	212	12	φ(0	φ(0	ADJ
ejpam-5005	212	13	)	)	PUNCT
ejpam-5005	212	14	=	=	SYM
ejpam-5005	212	15			PROPN
ejpam-5005	212	16	φ1(0	φ1(0	PROPN
ejpam-5005	212	17	)	)	PUNCT
ejpam-5005	212	18	φ2(0	φ2(0	PROPN
ejpam-5005	212	19	)	)	PUNCT
ejpam-5005	212	20	...	...	PUNCT
ejpam-5005	213	1	φn(0	φn(0	X
ejpam-5005	213	2	)	)	PUNCT
ejpam-5005	213	3			NOUN
ejpam-5005	213	4	and	and	CCONJ
ejpam-5005	213	5	b	b	X
ejpam-5005	213	6	=	=	SYM
ejpam-5005	213	7			PROPN
ejpam-5005	213	8	b1	b1	NOUN
ejpam-5005	213	9	b2	b2	NOUN
ejpam-5005	213	10	...	...	PUNCT
ejpam-5005	213	11	bn	bn	X
ejpam-5005	213	12			VERB
ejpam-5005	213	13	.	.	PUNCT
ejpam-5005	214	1	by	by	ADP
ejpam-5005	214	2	applying	apply	VERB
ejpam-5005	214	3	m.t	m.t	PROPN
ejpam-5005	214	4	.	.	PROPN
ejpam-5005	214	5	to	to	PART
ejpam-5005	214	6	system	system	VERB
ejpam-5005	214	7	(	(	PUNCT
ejpam-5005	214	8	23	23	NUM
ejpam-5005	214	9	)	)	PUNCT
ejpam-5005	214	10	,	,	PUNCT
ejpam-5005	214	11	we	we	PRON
ejpam-5005	214	12	have	have	VERB
ejpam-5005	214	13	m	m	PROPN
ejpam-5005	214	14	{	{	PUNCT
ejpam-5005	214	15	φ′	φ′	NUM
ejpam-5005	214	16	1(ξ	1(ξ	NUM
ejpam-5005	214	17	)	)	PUNCT
ejpam-5005	214	18	}	}	PUNCT
ejpam-5005	214	19	=	=	SYM
ejpam-5005	214	20	h11	h11	PROPN
ejpam-5005	214	21	m	m	PROPN
ejpam-5005	214	22	{	{	PUNCT
ejpam-5005	214	23	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	214	24	h12	h12	NOUN
ejpam-5005	214	25	m	m	VERB
ejpam-5005	214	26	{	{	PUNCT
ejpam-5005	214	27	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	214	28	·	·	PUNCT
ejpam-5005	214	29	·	·	PUNCT
ejpam-5005	214	30	·	·	PUNCT
ejpam-5005	214	31	+	+	NUM
ejpam-5005	214	32	h1	h1	PROPN
ejpam-5005	214	33	nm	nm	PRON
ejpam-5005	214	34	{	{	PUNCT
ejpam-5005	214	35	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	214	36	{	{	PUNCT
ejpam-5005	214	37	ρ1(ξ	ρ1(ξ	ADJ
ejpam-5005	214	38	)	)	PUNCT
ejpam-5005	214	39	}	}	PUNCT
ejpam-5005	214	40	,	,	PUNCT
ejpam-5005	214	41	m	m	VERB
ejpam-5005	214	42	{	{	PUNCT
ejpam-5005	214	43	φ′	φ′	NUM
ejpam-5005	214	44	2(ξ	2(ξ	NUM
ejpam-5005	214	45	)	)	PUNCT
ejpam-5005	214	46	}	}	PUNCT
ejpam-5005	214	47	=	=	SYM
ejpam-5005	214	48	h21	h21	NOUN
ejpam-5005	214	49	m	m	PROPN
ejpam-5005	214	50	{	{	PUNCT
ejpam-5005	214	51	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	214	52	h22	h22	NOUN
ejpam-5005	214	53	m	m	VERB
ejpam-5005	214	54	{	{	PUNCT
ejpam-5005	214	55	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	214	56	·	·	PUNCT
ejpam-5005	214	57	·	·	PUNCT
ejpam-5005	214	58	·	·	PUNCT
ejpam-5005	214	59	+	+	NUM
ejpam-5005	214	60	h2	h2	NOUN
ejpam-5005	214	61	nm	nm	PRON
ejpam-5005	214	62	{	{	PUNCT
ejpam-5005	214	63	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	214	64	{	{	PUNCT
ejpam-5005	214	65	ρ2(ξ	ρ2(ξ	NUM
ejpam-5005	214	66	)	)	PUNCT
ejpam-5005	214	67	}	}	PUNCT
ejpam-5005	214	68	,	,	PUNCT
ejpam-5005	214	69	·	·	PUNCT
ejpam-5005	214	70	·	·	PUNCT
ejpam-5005	214	71	m	m	X
ejpam-5005	214	72	{	{	PUNCT
ejpam-5005	214	73	φ′	φ′	NUM
ejpam-5005	214	74	n(ξ	n(ξ	NUM
ejpam-5005	214	75	)	)	PUNCT
ejpam-5005	214	76	}	}	PUNCT
ejpam-5005	214	77	=	=	SYM
ejpam-5005	215	1	hn1	hn1	NOUN
ejpam-5005	215	2	m	m	VERB
ejpam-5005	215	3	{	{	PUNCT
ejpam-5005	215	4	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	215	5	hn2	hn2	NOUN
ejpam-5005	215	6	m	m	VERB
ejpam-5005	215	7	{	{	PUNCT
ejpam-5005	215	8	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	215	9	·	·	PUNCT
ejpam-5005	215	10	·	·	PUNCT
ejpam-5005	215	11	·	·	PUNCT
ejpam-5005	216	1	+	+	NUM
ejpam-5005	216	2	hnnm	hnnm	NOUN
ejpam-5005	216	3	{	{	PUNCT
ejpam-5005	216	4	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	216	5	{	{	PUNCT
ejpam-5005	216	6	ρn(ξ	ρn(ξ	NOUN
ejpam-5005	216	7	)	)	PUNCT
ejpam-5005	216	8	}	}	PUNCT
ejpam-5005	216	9	.	.	PUNCT
ejpam-5005	217	1			ADJ
ejpam-5005	217	2	(	(	PUNCT
ejpam-5005	217	3	26	26	NUM
ejpam-5005	217	4	)	)	PUNCT
ejpam-5005	217	5	then	then	ADV
ejpam-5005	217	6	,	,	PUNCT
ejpam-5005	217	7	we	we	PRON
ejpam-5005	217	8	get	get	VERB
ejpam-5005	217	9	ζm	ζm	ADP
ejpam-5005	217	10	{	{	PUNCT
ejpam-5005	217	11	φ1(ξ	φ1(ξ	NOUN
ejpam-5005	217	12	)	)	PUNCT
ejpam-5005	217	13	}	}	PUNCT
ejpam-5005	217	14	−ζ2φ1(0	−ζ2φ1(0	NOUN
ejpam-5005	217	15	)	)	PUNCT
ejpam-5005	218	1	=	=	SYM
ejpam-5005	218	2	h11	h11	PROPN
ejpam-5005	218	3	m	m	PROPN
ejpam-5005	218	4	{	{	PUNCT
ejpam-5005	218	5	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	218	6	h12	h12	NOUN
ejpam-5005	218	7	m	m	VERB
ejpam-5005	218	8	{	{	PUNCT
ejpam-5005	218	9	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	218	10	·	·	PUNCT
ejpam-5005	218	11	·	·	PUNCT
ejpam-5005	218	12	·	·	PUNCT
ejpam-5005	218	13	+	+	NUM
ejpam-5005	218	14	h1	h1	PROPN
ejpam-5005	218	15	nm	nm	PRON
ejpam-5005	218	16	{	{	PUNCT
ejpam-5005	218	17	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	218	18	{	{	PUNCT
ejpam-5005	218	19	ρ1(ξ	ρ1(ξ	ADJ
ejpam-5005	218	20	)	)	PUNCT
ejpam-5005	218	21	}	}	PUNCT
ejpam-5005	218	22	,	,	PUNCT
ejpam-5005	218	23	ζm	ζm	ADP
ejpam-5005	218	24	{	{	PUNCT
ejpam-5005	218	25	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	218	26	)	)	PUNCT
ejpam-5005	218	27	}	}	PUNCT
ejpam-5005	218	28	−ζ2φ2(0	−ζ2φ2(0	NOUN
ejpam-5005	218	29	)	)	PUNCT
ejpam-5005	218	30	=	=	SYM
ejpam-5005	218	31	h21	h21	NOUN
ejpam-5005	218	32	m	m	PROPN
ejpam-5005	218	33	{	{	PUNCT
ejpam-5005	218	34	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	218	35	h22	h22	NOUN
ejpam-5005	218	36	m	m	VERB
ejpam-5005	218	37	{	{	PUNCT
ejpam-5005	218	38	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	218	39	·	·	PUNCT
ejpam-5005	218	40	·	·	PUNCT
ejpam-5005	218	41	·	·	PUNCT
ejpam-5005	218	42	+	+	NUM
ejpam-5005	218	43	h2	h2	NOUN
ejpam-5005	218	44	nm	nm	PRON
ejpam-5005	218	45	{	{	PUNCT
ejpam-5005	218	46	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	218	47	{	{	PUNCT
ejpam-5005	218	48	ρ2(ξ	ρ2(ξ	NUM
ejpam-5005	218	49	)	)	PUNCT
ejpam-5005	218	50	}	}	PUNCT
ejpam-5005	218	51	,	,	PUNCT
ejpam-5005	218	52	·	·	PUNCT
ejpam-5005	218	53	·	·	PUNCT
ejpam-5005	219	1	ζm	ζm	VERB
ejpam-5005	219	2	{	{	PUNCT
ejpam-5005	219	3	φn(ξ	φn(ξ	NOUN
ejpam-5005	219	4	)	)	PUNCT
ejpam-5005	219	5	}	}	PUNCT
ejpam-5005	219	6	−ζ2φn(0	−ζ2φn(0	PROPN
ejpam-5005	219	7	)	)	PUNCT
ejpam-5005	220	1	=	=	SYM
ejpam-5005	220	2	hn1	hn1	NOUN
ejpam-5005	220	3	m	m	VERB
ejpam-5005	220	4	{	{	PUNCT
ejpam-5005	220	5	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	220	6	hn2	hn2	NOUN
ejpam-5005	220	7	m	m	VERB
ejpam-5005	220	8	{	{	PUNCT
ejpam-5005	220	9	φ2(ξ)}+	φ2(ξ)}+	X
ejpam-5005	220	10	·	·	PUNCT
ejpam-5005	220	11	·	·	PUNCT
ejpam-5005	220	12	·	·	PUNCT
ejpam-5005	221	1	+	+	NUM
ejpam-5005	221	2	hnnm	hnnm	NOUN
ejpam-5005	221	3	{	{	PUNCT
ejpam-5005	221	4	φn(ξ)}+m	φn(ξ)}+m	X
ejpam-5005	221	5	{	{	PUNCT
ejpam-5005	221	6	ρn(ξ	ρn(ξ	NOUN
ejpam-5005	221	7	)	)	PUNCT
ejpam-5005	221	8	}	}	PUNCT
ejpam-5005	221	9	.	.	PUNCT
ejpam-5005	222	1			ADJ
ejpam-5005	222	2	(	(	PUNCT
ejpam-5005	222	3	27	27	NUM
ejpam-5005	222	4	)	)	PUNCT
ejpam-5005	222	5	then	then	ADV
ejpam-5005	222	6	,	,	PUNCT
ejpam-5005	222	7	using	use	VERB
ejpam-5005	222	8	the	the	DET
ejpam-5005	222	9	initial	initial	ADJ
ejpam-5005	222	10	conditions	condition	NOUN
ejpam-5005	222	11	(	(	PUNCT
ejpam-5005	222	12	24	24	NUM
ejpam-5005	222	13	)	)	PUNCT
ejpam-5005	222	14	,	,	PUNCT
ejpam-5005	222	15	the	the	DET
ejpam-5005	222	16	system	system	NOUN
ejpam-5005	222	17	(	(	PUNCT
ejpam-5005	222	18	27	27	NUM
ejpam-5005	222	19	)	)	PUNCT
ejpam-5005	222	20	becomes	become	VERB
ejpam-5005	222	21	(	(	PUNCT
ejpam-5005	222	22	ζ	ζ	NOUN
ejpam-5005	222	23	−	−	PROPN
ejpam-5005	222	24	h11)mρ	h11)mρ	PROPN
ejpam-5005	222	25	{	{	PUNCT
ejpam-5005	222	26	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	222	27	)	)	PUNCT
ejpam-5005	222	28	}	}	PUNCT
ejpam-5005	222	29	−	−	PROPN
ejpam-5005	222	30	h12	h12	NOUN
ejpam-5005	222	31	m	m	PROPN
ejpam-5005	222	32	{	{	PUNCT
ejpam-5005	222	33	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	222	34	)	)	PUNCT
ejpam-5005	222	35	}	}	PUNCT
ejpam-5005	222	36	−	−	PROPN
ejpam-5005	222	37	·	·	PUNCT
ejpam-5005	222	38	·	·	PUNCT
ejpam-5005	222	39	·	·	PUNCT
ejpam-5005	223	1	−	−	PUNCT
ejpam-5005	223	2	h1	h1	VERB
ejpam-5005	223	3	nm	nm	PRON
ejpam-5005	223	4	{	{	PUNCT
ejpam-5005	223	5	φn(ξ	φn(ξ	NOUN
ejpam-5005	223	6	)	)	PUNCT
ejpam-5005	223	7	}	}	PUNCT
ejpam-5005	224	1	=	=	PUNCT
ejpam-5005	224	2	m	m	PRON
ejpam-5005	224	3	{	{	PUNCT
ejpam-5005	224	4	ρ1(ξ)}+	ρ1(ξ)}+	X
ejpam-5005	224	5	b1ζ	b1ζ	X
ejpam-5005	224	6	2	2	NUM
ejpam-5005	224	7	,	,	PUNCT
ejpam-5005	224	8	−h21	−h21	PROPN
ejpam-5005	224	9	m	m	X
ejpam-5005	224	10	{	{	PUNCT
ejpam-5005	224	11	φ1(ξ)}+	φ1(ξ)}+	NUM
ejpam-5005	224	12	(	(	PUNCT
ejpam-5005	224	13	ζ	ζ	NOUN
ejpam-5005	224	14	−	−	PROPN
ejpam-5005	224	15	h22)m	h22)m	PROPN
ejpam-5005	224	16	{	{	PUNCT
ejpam-5005	224	17	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	224	18	)	)	PUNCT
ejpam-5005	224	19	}	}	PUNCT
ejpam-5005	224	20	−	−	PROPN
ejpam-5005	224	21	·	·	PUNCT
ejpam-5005	224	22	·	·	PUNCT
ejpam-5005	224	23	·	·	PUNCT
ejpam-5005	225	1	−	−	PUNCT
ejpam-5005	225	2	h1	h1	VERB
ejpam-5005	225	3	nm	nm	PRON
ejpam-5005	225	4	{	{	PUNCT
ejpam-5005	225	5	φn(ξ	φn(ξ	NOUN
ejpam-5005	225	6	)	)	PUNCT
ejpam-5005	225	7	}	}	PUNCT
ejpam-5005	226	1	=	=	PUNCT
ejpam-5005	226	2	m	m	VERB
ejpam-5005	226	3	{	{	PUNCT
ejpam-5005	226	4	ρ2(ξ)}+	ρ2(ξ)}+	NUM
ejpam-5005	226	5	b2ζ	b2ζ	PROPN
ejpam-5005	226	6	2	2	NUM
ejpam-5005	226	7	·	·	PUNCT
ejpam-5005	226	8	·	·	PUNCT
ejpam-5005	226	9	−hn1	−hn1	ADV
ejpam-5005	226	10	m	m	PRON
ejpam-5005	226	11	{	{	PUNCT
ejpam-5005	226	12	φn(ξ	φn(ξ	NOUN
ejpam-5005	226	13	)	)	PUNCT
ejpam-5005	226	14	}	}	PUNCT
ejpam-5005	226	15	−	−	ADP
ejpam-5005	226	16	hn2	hn2	INTJ
ejpam-5005	226	17	m	m	VERB
ejpam-5005	226	18	{	{	PUNCT
ejpam-5005	226	19	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	226	20	)	)	PUNCT
ejpam-5005	226	21	}	}	PUNCT
ejpam-5005	226	22	−	−	PROPN
ejpam-5005	226	23	·	·	PUNCT
ejpam-5005	226	24	·	·	PUNCT
ejpam-5005	226	25	·	·	PUNCT
ejpam-5005	226	26	+	+	CCONJ
ejpam-5005	226	27	(	(	PUNCT
ejpam-5005	226	28	ζ	ζ	PROPN
ejpam-5005	226	29	−	−	PROPN
ejpam-5005	226	30	hnn)m	hnn)m	PROPN
ejpam-5005	226	31	{	{	PUNCT
ejpam-5005	226	32	φn(ξ	φn(ξ	NOUN
ejpam-5005	226	33	)	)	PUNCT
ejpam-5005	226	34	}	}	PUNCT
ejpam-5005	226	35	=	=	PUNCT
ejpam-5005	226	36	m	m	VERB
ejpam-5005	226	37	{	{	PUNCT
ejpam-5005	226	38	ρn(ξ)}+	ρn(ξ)}+	NOUN
ejpam-5005	226	39	bnζ	bnζ	NOUN
ejpam-5005	226	40	2	2	NUM
ejpam-5005	226	41			ADJ
ejpam-5005	226	42	(	(	PUNCT
ejpam-5005	226	43	28	28	NUM
ejpam-5005	226	44	)	)	PUNCT
ejpam-5005	226	45	then	then	ADV
ejpam-5005	226	46	,	,	PUNCT
ejpam-5005	226	47	the	the	DET
ejpam-5005	226	48	solution	solution	NOUN
ejpam-5005	226	49	of	of	ADP
ejpam-5005	226	50	system	system	NOUN
ejpam-5005	226	51	(	(	PUNCT
ejpam-5005	226	52	26	26	NUM
ejpam-5005	226	53	)	)	PUNCT
ejpam-5005	226	54	can	can	AUX
ejpam-5005	226	55	be	be	AUX
ejpam-5005	226	56	obtained	obtain	VERB
ejpam-5005	226	57	using	use	VERB
ejpam-5005	226	58	cramer	cramer	PROPN
ejpam-5005	226	59	’s	’s	PART
ejpam-5005	226	60	rule	rule	NOUN
ejpam-5005	226	61	as	as	ADP
ejpam-5005	226	62	d.	d.	PROPN
ejpam-5005	226	63	k.	k.	PROPN
ejpam-5005	226	64	almutairi	almutairi	PROPN
ejpam-5005	226	65	et	et	PROPN
ejpam-5005	226	66	al	al	PROPN
ejpam-5005	226	67	.	.	PUNCT
ejpam-5005	226	68	/	/	SYM
ejpam-5005	226	69	eur	eur	PROPN
ejpam-5005	226	70	.	.	PUNCT
ejpam-5005	227	1	j.	j.	PROPN
ejpam-5005	227	2	pure	pure	PROPN
ejpam-5005	227	3	appl	appl	PROPN
ejpam-5005	227	4	.	.	PROPN
ejpam-5005	227	5	math	math	PROPN
ejpam-5005	227	6	,	,	PUNCT
ejpam-5005	227	7	17	17	NUM
ejpam-5005	227	8	(	(	PUNCT
ejpam-5005	227	9	1	1	NUM
ejpam-5005	227	10	)	)	PUNCT
ejpam-5005	227	11	(	(	PUNCT
ejpam-5005	227	12	2024	2024	NUM
ejpam-5005	227	13	)	)	PUNCT
ejpam-5005	227	14	,	,	PUNCT
ejpam-5005	227	15	385	385	NUM
ejpam-5005	227	16	-	-	SYM
ejpam-5005	227	17	409	409	NUM
ejpam-5005	227	18	395	395	NUM
ejpam-5005	227	19	m	m	NOUN
ejpam-5005	227	20	{	{	PUNCT
ejpam-5005	227	21	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	227	22	)	)	PUNCT
ejpam-5005	227	23	}	}	PUNCT
ejpam-5005	227	24	=	=	PUNCT
ejpam-5005	228	1	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	228	2	m	m	PRON
ejpam-5005	228	3	{	{	PUNCT
ejpam-5005	228	4	ρ1(ξ)}+	ρ1(ξ)}+	X
ejpam-5005	228	5	b1ζ	b1ζ	X
ejpam-5005	228	6	2	2	NUM
ejpam-5005	228	7	−h12	−h12	PROPN
ejpam-5005	228	8	·	·	PUNCT
ejpam-5005	228	9	·	·	PUNCT
ejpam-5005	228	10	·	·	PUNCT
ejpam-5005	229	1	−h1n	−h1n	NUM
ejpam-5005	229	2	m	m	VERB
ejpam-5005	229	3	{	{	PUNCT
ejpam-5005	229	4	ρ2(ξ)}+	ρ2(ξ)}+	NUM
ejpam-5005	229	5	b2ζ	b2ζ	NUM
ejpam-5005	229	6	2	2	NUM
ejpam-5005	229	7	(	(	PUNCT
ejpam-5005	229	8	ζ	ζ	NOUN
ejpam-5005	229	9	−	−	PROPN
ejpam-5005	229	10	h22	h22	NOUN
ejpam-5005	229	11	)	)	PUNCT
ejpam-5005	229	12	·	·	PUNCT
ejpam-5005	229	13	·	·	PUNCT
ejpam-5005	229	14	·	·	PUNCT
ejpam-5005	229	15	−h2n	−h2n	NUM
ejpam-5005	229	16	...	...	PUNCT
ejpam-5005	229	17	...	...	PUNCT
ejpam-5005	229	18	.	.	PUNCT
ejpam-5005	229	19	.	.	PUNCT
ejpam-5005	229	20	.	.	PUNCT
ejpam-5005	230	1	...	...	PUNCT
ejpam-5005	231	1	m{ρ(ξ)}+	m{ρ(ξ)}+	NOUN
ejpam-5005	231	2	bnζ	bnζ	NOUN
ejpam-5005	231	3	2	2	NUM
ejpam-5005	231	4	−hnn	−hnn	NOUN
ejpam-5005	231	5	·	·	PUNCT
ejpam-5005	231	6	·	·	PUNCT
ejpam-5005	231	7	·	·	PUNCT
ejpam-5005	231	8	(	(	PUNCT
ejpam-5005	231	9	ζ	ζ	NOUN
ejpam-5005	231	10	−	−	PROPN
ejpam-5005	231	11	hnn	hnn	PROPN
ejpam-5005	231	12	)	)	PUNCT
ejpam-5005	231	13	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	231	14	(	(	PUNCT
ejpam-5005	231	15	ζ	ζ	PROPN
ejpam-5005	231	16	−	−	PROPN
ejpam-5005	231	17	h11	h11	PROPN
ejpam-5005	231	18	)	)	PUNCT
ejpam-5005	231	19	−h12	−h12	X
ejpam-5005	231	20	·	·	PUNCT
ejpam-5005	231	21	·	·	PUNCT
ejpam-5005	231	22	·	·	PUNCT
ejpam-5005	231	23	−h1n	−h1n	NUM
ejpam-5005	232	1	−h21	−h21	PROPN
ejpam-5005	232	2	(	(	PUNCT
ejpam-5005	232	3	ζ	ζ	NOUN
ejpam-5005	232	4	−	−	PROPN
ejpam-5005	232	5	h22	h22	NOUN
ejpam-5005	232	6	)	)	PUNCT
ejpam-5005	232	7	·	·	PUNCT
ejpam-5005	232	8	·	·	PUNCT
ejpam-5005	232	9	·	·	PUNCT
ejpam-5005	232	10	−h2n	−h2n	NUM
ejpam-5005	232	11	...	...	PUNCT
ejpam-5005	232	12	...	...	PUNCT
ejpam-5005	232	13	.	.	PUNCT
ejpam-5005	232	14	.	.	PUNCT
ejpam-5005	232	15	.	.	PUNCT
ejpam-5005	232	16	...	...	PUNCT
ejpam-5005	233	1	−hn1	−hn1	CCONJ
ejpam-5005	233	2	−hn2	−hn2	X
ejpam-5005	233	3	·	·	PUNCT
ejpam-5005	233	4	·	·	PUNCT
ejpam-5005	233	5	·	·	PUNCT
ejpam-5005	233	6	(	(	PUNCT
ejpam-5005	233	7	ζ	ζ	NOUN
ejpam-5005	233	8	−	−	PROPN
ejpam-5005	233	9	hnn	hnn	PROPN
ejpam-5005	233	10	)	)	PUNCT
ejpam-5005	233	11	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	233	12	m	m	PROPN
ejpam-5005	233	13	{	{	PUNCT
ejpam-5005	233	14	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	233	15	)	)	PUNCT
ejpam-5005	233	16	}	}	PUNCT
ejpam-5005	233	17	=	=	SYM
ejpam-5005	233	18	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	ADJ
ejpam-5005	233	19	(	(	PUNCT
ejpam-5005	233	20	ζ	ζ	PROPN
ejpam-5005	233	21	−	−	PROPN
ejpam-5005	233	22	h11	h11	PROPN
ejpam-5005	233	23	)	)	PUNCT
ejpam-5005	233	24	m	m	VERB
ejpam-5005	233	25	{	{	PUNCT
ejpam-5005	233	26	ρ1(ξ)}+	ρ1(ξ)}+	X
ejpam-5005	233	27	b1ζ	b1ζ	X
ejpam-5005	233	28	2	2	NUM
ejpam-5005	233	29	·	·	PUNCT
ejpam-5005	233	30	·	·	PUNCT
ejpam-5005	233	31	·	·	PUNCT
ejpam-5005	233	32	−h1n	−h1n	NUM
ejpam-5005	234	1	−h21	−h21	PUNCT
ejpam-5005	234	2	m	m	VERB
ejpam-5005	234	3	{	{	PUNCT
ejpam-5005	234	4	ρ2(ξ)}+	ρ2(ξ)}+	NUM
ejpam-5005	234	5	b2ζ	b2ζ	PROPN
ejpam-5005	234	6	2	2	NUM
ejpam-5005	234	7	·	·	PUNCT
ejpam-5005	234	8	·	·	PUNCT
ejpam-5005	234	9	·	·	PUNCT
ejpam-5005	234	10	−h2n	−h2n	NUM
ejpam-5005	234	11	...	...	PUNCT
ejpam-5005	234	12	...	...	PUNCT
ejpam-5005	234	13	.	.	PUNCT
ejpam-5005	234	14	.	.	PUNCT
ejpam-5005	234	15	.	.	PUNCT
ejpam-5005	235	1	...	...	PUNCT
ejpam-5005	236	1	−hn1	−hn1	INTJ
ejpam-5005	236	2	m	m	AUX
ejpam-5005	236	3	{	{	PUNCT
ejpam-5005	236	4	ρn(ξ)}+	ρn(ξ)}+	NOUN
ejpam-5005	236	5	bnζ	bnζ	NOUN
ejpam-5005	236	6	2	2	NUM
ejpam-5005	236	7	·	·	PUNCT
ejpam-5005	236	8	·	·	PUNCT
ejpam-5005	236	9	·	·	PUNCT
ejpam-5005	237	1	(	(	PUNCT
ejpam-5005	237	2	ζ	ζ	NOUN
ejpam-5005	237	3	−	−	PROPN
ejpam-5005	237	4	hnn	hnn	PROPN
ejpam-5005	237	5	)	)	PUNCT
ejpam-5005	237	6	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	237	7	(	(	PUNCT
ejpam-5005	237	8	ζ	ζ	PROPN
ejpam-5005	237	9	−	−	PROPN
ejpam-5005	237	10	h11	h11	PROPN
ejpam-5005	237	11	)	)	PUNCT
ejpam-5005	237	12	−h12	−h12	X
ejpam-5005	237	13	·	·	PUNCT
ejpam-5005	237	14	·	·	PUNCT
ejpam-5005	237	15	·	·	PUNCT
ejpam-5005	237	16	−h1n	−h1n	NUM
ejpam-5005	238	1	−h21	−h21	PROPN
ejpam-5005	238	2	(	(	PUNCT
ejpam-5005	238	3	ζ	ζ	NOUN
ejpam-5005	238	4	−	−	PROPN
ejpam-5005	238	5	h22	h22	NOUN
ejpam-5005	238	6	)	)	PUNCT
ejpam-5005	238	7	·	·	PUNCT
ejpam-5005	238	8	·	·	PUNCT
ejpam-5005	238	9	·	·	PUNCT
ejpam-5005	238	10	−h2n	−h2n	NUM
ejpam-5005	238	11	...	...	PUNCT
ejpam-5005	238	12	...	...	PUNCT
ejpam-5005	238	13	.	.	PUNCT
ejpam-5005	238	14	.	.	PUNCT
ejpam-5005	238	15	.	.	PUNCT
ejpam-5005	238	16	...	...	PUNCT
ejpam-5005	239	1	−hn1	−hn1	CCONJ
ejpam-5005	239	2	−hn2	−hn2	X
ejpam-5005	239	3	·	·	PUNCT
ejpam-5005	239	4	·	·	PUNCT
ejpam-5005	239	5	·	·	PUNCT
ejpam-5005	239	6	(	(	PUNCT
ejpam-5005	239	7	ζ	ζ	NOUN
ejpam-5005	239	8	−	−	PROPN
ejpam-5005	239	9	hnn	hnn	PROPN
ejpam-5005	239	10	)	)	PUNCT
ejpam-5005	239	11	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	239	12	...	...	PUNCT
ejpam-5005	240	1	m	m	VERB
ejpam-5005	240	2	{	{	PUNCT
ejpam-5005	240	3	φn(ξ	φn(ξ	NOUN
ejpam-5005	240	4	)	)	PUNCT
ejpam-5005	240	5	}	}	PUNCT
ejpam-5005	240	6	=	=	SYM
ejpam-5005	240	7	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	ADJ
ejpam-5005	240	8	(	(	PUNCT
ejpam-5005	240	9	ζ	ζ	PROPN
ejpam-5005	240	10	−	−	PROPN
ejpam-5005	240	11	h11	h11	PROPN
ejpam-5005	240	12	)	)	PUNCT
ejpam-5005	240	13	−h1n	−h1n	PUNCT
ejpam-5005	240	14	·	·	PUNCT
ejpam-5005	240	15	·	·	PUNCT
ejpam-5005	240	16	·	·	PUNCT
ejpam-5005	241	1	m	m	PRON
ejpam-5005	241	2	{	{	PUNCT
ejpam-5005	241	3	ρ1(ξ)}+	ρ1(ξ)}+	X
ejpam-5005	241	4	b1ζ	b1ζ	X
ejpam-5005	241	5	2	2	NUM
ejpam-5005	241	6	−h21	−h21	X
ejpam-5005	241	7	(	(	PUNCT
ejpam-5005	241	8	ζ	ζ	NOUN
ejpam-5005	241	9	−	−	PROPN
ejpam-5005	241	10	h22	h22	NOUN
ejpam-5005	241	11	)	)	PUNCT
ejpam-5005	241	12	·	·	PUNCT
ejpam-5005	241	13	·	·	PUNCT
ejpam-5005	241	14	·	·	PUNCT
ejpam-5005	242	1	m	m	INTJ
ejpam-5005	242	2	{	{	PUNCT
ejpam-5005	242	3	ρ2(ξ)}+	ρ2(ξ)}+	NUM
ejpam-5005	242	4	b2ζ	b2ζ	PROPN
ejpam-5005	242	5	2	2	NUM
ejpam-5005	242	6	...	...	PUNCT
ejpam-5005	242	7	...	...	PUNCT
ejpam-5005	242	8	.	.	PUNCT
ejpam-5005	242	9	.	.	PUNCT
ejpam-5005	242	10	.	.	PUNCT
ejpam-5005	243	1	...	...	PUNCT
ejpam-5005	244	1	−hn1	−hn1	CCONJ
ejpam-5005	244	2	−hn2	−hn2	X
ejpam-5005	244	3	·	·	PUNCT
ejpam-5005	244	4	·	·	PUNCT
ejpam-5005	244	5	·	·	PUNCT
ejpam-5005	244	6	m	m	PRON
ejpam-5005	244	7	{	{	PUNCT
ejpam-5005	244	8	ρn(ξ)}+	ρn(ξ)}+	NOUN
ejpam-5005	244	9	bnζ	bnζ	NOUN
ejpam-5005	244	10	2	2	NUM
ejpam-5005	244	11	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	244	12	(	(	PUNCT
ejpam-5005	244	13	ζ	ζ	PROPN
ejpam-5005	244	14	−	−	PROPN
ejpam-5005	244	15	h11	h11	PROPN
ejpam-5005	244	16	)	)	PUNCT
ejpam-5005	244	17	−h12	−h12	X
ejpam-5005	244	18	·	·	PUNCT
ejpam-5005	244	19	·	·	PUNCT
ejpam-5005	244	20	·	·	PUNCT
ejpam-5005	244	21	−h1n	−h1n	NUM
ejpam-5005	245	1	−h21	−h21	PROPN
ejpam-5005	245	2	(	(	PUNCT
ejpam-5005	245	3	ζ	ζ	NOUN
ejpam-5005	245	4	−	−	PROPN
ejpam-5005	245	5	h22	h22	NOUN
ejpam-5005	245	6	)	)	PUNCT
ejpam-5005	245	7	·	·	PUNCT
ejpam-5005	245	8	·	·	PUNCT
ejpam-5005	245	9	·	·	PUNCT
ejpam-5005	245	10	−h2n	−h2n	NUM
ejpam-5005	245	11	...	...	PUNCT
ejpam-5005	245	12	...	...	PUNCT
ejpam-5005	245	13	.	.	PUNCT
ejpam-5005	245	14	.	.	PUNCT
ejpam-5005	245	15	.	.	PUNCT
ejpam-5005	245	16	...	...	PUNCT
ejpam-5005	246	1	−hn1	−hn1	CCONJ
ejpam-5005	246	2	−hn2	−hn2	X
ejpam-5005	246	3	·	·	PUNCT
ejpam-5005	246	4	·	·	PUNCT
ejpam-5005	246	5	·	·	PUNCT
ejpam-5005	246	6	(	(	PUNCT
ejpam-5005	246	7	ζ	ζ	NOUN
ejpam-5005	246	8	−	−	PROPN
ejpam-5005	246	9	hnn	hnn	PROPN
ejpam-5005	246	10	)	)	PUNCT
ejpam-5005	246	11	.	.	PUNCT
ejpam-5005	247	1	∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	247	2	now	now	ADV
ejpam-5005	247	3	,	,	PUNCT
ejpam-5005	247	4	applying	apply	VERB
ejpam-5005	247	5	the	the	DET
ejpam-5005	247	6	inverse	inverse	NOUN
ejpam-5005	247	7	m.t	m.t	PROPN
ejpam-5005	247	8	.	.	PROPN
ejpam-5005	247	9	of	of	ADP
ejpam-5005	247	10	m	m	PROPN
ejpam-5005	247	11	{	{	PUNCT
ejpam-5005	247	12	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	247	13	)	)	PUNCT
ejpam-5005	247	14	}	}	PUNCT
ejpam-5005	247	15	,	,	PUNCT
ejpam-5005	247	16	m	m	VERB
ejpam-5005	247	17	{	{	PUNCT
ejpam-5005	247	18	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	247	19	)	)	PUNCT
ejpam-5005	247	20	}	}	PUNCT
ejpam-5005	247	21	,	,	PUNCT
ejpam-5005	247	22	.	.	PUNCT
ejpam-5005	247	23	.	.	PUNCT
ejpam-5005	248	1	.	.	PUNCT
ejpam-5005	249	1	,	,	PUNCT
ejpam-5005	249	2	m	m	AUX
ejpam-5005	249	3	{	{	PUNCT
ejpam-5005	249	4	φn(ξ	φn(ξ	NOUN
ejpam-5005	249	5	)	)	PUNCT
ejpam-5005	249	6	}	}	PUNCT
ejpam-5005	249	7	,	,	PUNCT
ejpam-5005	249	8	then	then	ADV
ejpam-5005	249	9	we	we	PRON
ejpam-5005	249	10	get	get	VERB
ejpam-5005	249	11	the	the	DET
ejpam-5005	249	12	values	value	NOUN
ejpam-5005	249	13	of	of	ADP
ejpam-5005	249	14	φ1(ξ	φ1(ξ	NOUN
ejpam-5005	249	15	)	)	PUNCT
ejpam-5005	249	16	,	,	PUNCT
ejpam-5005	249	17	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	249	18	)	)	PUNCT
ejpam-5005	249	19	,	,	PUNCT
ejpam-5005	249	20	.	.	PUNCT
ejpam-5005	249	21	.	.	PUNCT
ejpam-5005	250	1	.	.	PUNCT
ejpam-5005	251	1	,	,	PUNCT
ejpam-5005	251	2	φn(ξ	φn(ξ	NOUN
ejpam-5005	251	3	)	)	PUNCT
ejpam-5005	251	4	.	.	PUNCT
ejpam-5005	252	1	now	now	ADV
ejpam-5005	252	2	,	,	PUNCT
ejpam-5005	252	3	we	we	PRON
ejpam-5005	252	4	introduce	introduce	VERB
ejpam-5005	252	5	some	some	DET
ejpam-5005	252	6	examples	example	NOUN
ejpam-5005	252	7	of	of	ADP
ejpam-5005	252	8	systems	system	NOUN
ejpam-5005	252	9	odes	ode	VERB
ejpam-5005	252	10	and	and	CCONJ
ejpam-5005	252	11	solve	solve	VERB
ejpam-5005	252	12	them	they	PRON
ejpam-5005	252	13	by	by	ADP
ejpam-5005	252	14	m.t	m.t	PROPN
ejpam-5005	252	15	..	..	PROPN
ejpam-5005	252	16	example	example	NOUN
ejpam-5005	253	1	1	1	X
ejpam-5005	253	2	.	.	X
ejpam-5005	253	3	consider	consider	VERB
ejpam-5005	253	4	the	the	DET
ejpam-5005	253	5	following	follow	VERB
ejpam-5005	253	6	system	system	NOUN
ejpam-5005	253	7	of	of	ADP
ejpam-5005	253	8	odes	ode	NOUN
ejpam-5005	253	9	dφ1	dφ1	VERB
ejpam-5005	253	10	dξ	dξ	NOUN
ejpam-5005	253	11	=	=	PUNCT
ejpam-5005	253	12	φ3(ξ	φ3(ξ	NUM
ejpam-5005	253	13	)	)	PUNCT
ejpam-5005	253	14	,	,	PUNCT
ejpam-5005	253	15	dφ2	dφ2	X
ejpam-5005	253	16	dξ	dξ	PROPN
ejpam-5005	253	17	=	=	SYM
ejpam-5005	253	18	−φ3(ξ	−φ3(ξ	PROPN
ejpam-5005	253	19	)	)	PUNCT
ejpam-5005	253	20	,	,	PUNCT
ejpam-5005	253	21	dφ3	dφ3	PROPN
ejpam-5005	253	22	dξ	dξ	PROPN
ejpam-5005	254	1	=	=	PROPN
ejpam-5005	254	2	−φ1(ξ)−	−φ1(ξ)−	PROPN
ejpam-5005	254	3	φ2(ξ	φ2(ξ	PROPN
ejpam-5005	254	4	)	)	PUNCT
ejpam-5005	254	5	,	,	PUNCT
ejpam-5005	254	6			PROPN
ejpam-5005	254	7	(	(	PUNCT
ejpam-5005	254	8	29	29	NUM
ejpam-5005	254	9	)	)	PUNCT
ejpam-5005	255	1	d.	d.	PROPN
ejpam-5005	255	2	k.	k.	PROPN
ejpam-5005	255	3	almutairi	almutairi	PROPN
ejpam-5005	255	4	et	et	PROPN
ejpam-5005	255	5	al	al	PROPN
ejpam-5005	255	6	.	.	PUNCT
ejpam-5005	255	7	/	/	SYM
ejpam-5005	255	8	eur	eur	PROPN
ejpam-5005	255	9	.	.	PUNCT
ejpam-5005	256	1	j.	j.	PROPN
ejpam-5005	256	2	pure	pure	PROPN
ejpam-5005	256	3	appl	appl	PROPN
ejpam-5005	256	4	.	.	PROPN
ejpam-5005	256	5	math	math	PROPN
ejpam-5005	256	6	,	,	PUNCT
ejpam-5005	256	7	17	17	NUM
ejpam-5005	256	8	(	(	PUNCT
ejpam-5005	256	9	1	1	NUM
ejpam-5005	256	10	)	)	PUNCT
ejpam-5005	256	11	(	(	PUNCT
ejpam-5005	256	12	2024	2024	NUM
ejpam-5005	256	13	)	)	PUNCT
ejpam-5005	256	14	,	,	PUNCT
ejpam-5005	256	15	385	385	NUM
ejpam-5005	256	16	-	-	SYM
ejpam-5005	256	17	409	409	NUM
ejpam-5005	256	18	396	396	NUM
ejpam-5005	256	19	with	with	ADP
ejpam-5005	256	20	the	the	DET
ejpam-5005	256	21	initial	initial	ADJ
ejpam-5005	256	22	conditions	condition	NOUN
ejpam-5005	256	23	:	:	PUNCT
ejpam-5005	256	24	φ1(0	φ1(0	PROPN
ejpam-5005	256	25	)	)	PUNCT
ejpam-5005	256	26	=	=	SYM
ejpam-5005	256	27	0	0	NUM
ejpam-5005	256	28	,	,	PUNCT
ejpam-5005	256	29	φ2(0	φ2(0	ADV
ejpam-5005	256	30	)	)	PUNCT
ejpam-5005	256	31	=	=	SYM
ejpam-5005	256	32	1	1	NUM
ejpam-5005	256	33	and	and	CCONJ
ejpam-5005	256	34	φ3(0	φ3(0	PROPN
ejpam-5005	256	35	)	)	PUNCT
ejpam-5005	256	36	=	=	SYM
ejpam-5005	257	1	0	0	X
ejpam-5005	257	2	.	.	PUNCT
ejpam-5005	258	1	(	(	PUNCT
ejpam-5005	258	2	30	30	NUM
ejpam-5005	258	3	)	)	PUNCT
ejpam-5005	258	4	the	the	DET
ejpam-5005	258	5	matrix	matrix	NOUN
ejpam-5005	258	6	form	form	NOUN
ejpam-5005	258	7	of	of	ADP
ejpam-5005	258	8	the	the	DET
ejpam-5005	258	9	system	system	NOUN
ejpam-5005	258	10	(	(	PUNCT
ejpam-5005	258	11	29	29	NUM
ejpam-5005	258	12	)	)	PUNCT
ejpam-5005	258	13	with	with	ADP
ejpam-5005	258	14	the	the	DET
ejpam-5005	258	15	initial	initial	ADJ
ejpam-5005	258	16	conditions	condition	NOUN
ejpam-5005	258	17	(	(	PUNCT
ejpam-5005	258	18	30	30	NUM
ejpam-5005	258	19	)	)	PUNCT
ejpam-5005	258	20	is	be	AUX
ejpam-5005	258	21	given	give	VERB
ejpam-5005	258	22	by	by	ADP
ejpam-5005	258	23	:	:	PUNCT
ejpam-5005	258	24	dφ	dφ	X
ejpam-5005	258	25	dξ	dξ	ADV
ejpam-5005	258	26	=	=	PUNCT
ejpam-5005	258	27	hφ(ξ	hφ(ξ	PUNCT
ejpam-5005	258	28	)	)	PUNCT
ejpam-5005	259	1	+	+	CCONJ
ejpam-5005	259	2	ρ(ξ	ρ(ξ	NOUN
ejpam-5005	259	3	)	)	PUNCT
ejpam-5005	259	4	,	,	PUNCT
ejpam-5005	259	5	with	with	ADP
ejpam-5005	259	6	φ(0	φ(0	ADJ
ejpam-5005	259	7	)	)	PUNCT
ejpam-5005	259	8	=	=	SYM
ejpam-5005	259	9	b	b	PROPN
ejpam-5005	259	10	,	,	PUNCT
ejpam-5005	259	11	(	(	PUNCT
ejpam-5005	259	12	31	31	NUM
ejpam-5005	259	13	)	)	PUNCT
ejpam-5005	259	14	where	where	SCONJ
ejpam-5005	259	15	:	:	PUNCT
ejpam-5005	259	16	dφ	dφ	PART
ejpam-5005	259	17	dξ	dξ	NOUN
ejpam-5005	260	1	=	=	NOUN
ejpam-5005	260	2			NOUN
ejpam-5005	260	3	dφ1	dφ1	VERB
ejpam-5005	260	4	dξ	dξ	ADP
ejpam-5005	261	1	dφ2	dφ2	NOUN
ejpam-5005	261	2	dξ	dξ	PROPN
ejpam-5005	261	3	dφ3	dφ3	PROPN
ejpam-5005	261	4	dξ	dξ	VERB
ejpam-5005	261	5			PROPN
ejpam-5005	261	6	,	,	PUNCT
ejpam-5005	261	7	h	h	NOUN
ejpam-5005	261	8	=	=	SYM
ejpam-5005	261	9			PROPN
ejpam-5005	261	10	0	0	NUM
ejpam-5005	261	11	0	0	NUM
ejpam-5005	262	1	1	1	NUM
ejpam-5005	262	2	0	0	NUM
ejpam-5005	262	3	0	0	NUM
ejpam-5005	262	4	−1	−1	NOUN
ejpam-5005	262	5	−1	−1	NOUN
ejpam-5005	262	6	−1	−1	NOUN
ejpam-5005	262	7	0	0	NUM
ejpam-5005	262	8			NOUN
ejpam-5005	262	9	,	,	PUNCT
ejpam-5005	262	10	φ(ξ	φ(ξ	NOUN
ejpam-5005	262	11	)	)	PUNCT
ejpam-5005	262	12	=	=	PUNCT
ejpam-5005	263	1			PUNCT
ejpam-5005	263	2	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	263	3	)	)	PUNCT
ejpam-5005	263	4	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	263	5	)	)	PUNCT
ejpam-5005	263	6	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	263	7	)	)	PUNCT
ejpam-5005	263	8			NOUN
ejpam-5005	263	9	,	,	PUNCT
ejpam-5005	263	10	ρ(ξ	ρ(ξ	VERB
ejpam-5005	263	11	)	)	PUNCT
ejpam-5005	263	12	=	=	PUNCT
ejpam-5005	264	1			NOUN
ejpam-5005	264	2	0	0	NUM
ejpam-5005	264	3	0	0	NUM
ejpam-5005	264	4	0	0	NUM
ejpam-5005	264	5			NOUN
ejpam-5005	264	6	,	,	PUNCT
ejpam-5005	264	7	φ(0	φ(0	ADJ
ejpam-5005	264	8	)	)	PUNCT
ejpam-5005	264	9	=	=	SYM
ejpam-5005	264	10			PROPN
ejpam-5005	264	11	φ1(0	φ1(0	PROPN
ejpam-5005	264	12	)	)	PUNCT
ejpam-5005	264	13	φ2(0	φ2(0	PROPN
ejpam-5005	264	14	)	)	PUNCT
ejpam-5005	264	15	φ3(0	φ3(0	PROPN
ejpam-5005	264	16	)	)	PUNCT
ejpam-5005	264	17			NOUN
ejpam-5005	264	18	and	and	CCONJ
ejpam-5005	264	19	b	b	X
ejpam-5005	264	20	=	=	SYM
ejpam-5005	264	21			NOUN
ejpam-5005	264	22	0	0	NUM
ejpam-5005	264	23	1	1	NUM
ejpam-5005	264	24	0	0	NUM
ejpam-5005	264	25			NOUN
ejpam-5005	264	26	.	.	PUNCT
ejpam-5005	265	1	by	by	ADP
ejpam-5005	265	2	applying	apply	VERB
ejpam-5005	265	3	m.t	m.t	PROPN
ejpam-5005	265	4	.	.	PROPN
ejpam-5005	265	5	to	to	ADP
ejpam-5005	265	6	the	the	DET
ejpam-5005	265	7	system	system	NOUN
ejpam-5005	265	8	(	(	PUNCT
ejpam-5005	265	9	29	29	NUM
ejpam-5005	265	10	)	)	PUNCT
ejpam-5005	265	11	,	,	PUNCT
ejpam-5005	265	12	we	we	PRON
ejpam-5005	265	13	get	get	VERB
ejpam-5005	265	14	m	m	PRON
ejpam-5005	265	15	{	{	PUNCT
ejpam-5005	265	16	φ′	φ′	NUM
ejpam-5005	265	17	1(ξ	1(ξ	NUM
ejpam-5005	265	18	)	)	PUNCT
ejpam-5005	265	19	}	}	PUNCT
ejpam-5005	265	20	−m	−m	NOUN
ejpam-5005	265	21	{	{	PUNCT
ejpam-5005	265	22	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	265	23	)	)	PUNCT
ejpam-5005	265	24	}	}	PUNCT
ejpam-5005	265	25	=	=	SYM
ejpam-5005	266	1	0	0	NUM
ejpam-5005	266	2	,	,	PUNCT
ejpam-5005	266	3	m	m	VERB
ejpam-5005	266	4	{	{	PUNCT
ejpam-5005	266	5	φ′	φ′	PROPN
ejpam-5005	266	6	2(ξ)}+m	2(ξ)}+m	NOUN
ejpam-5005	266	7	{	{	PUNCT
ejpam-5005	266	8	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	266	9	)	)	PUNCT
ejpam-5005	266	10	}	}	PUNCT
ejpam-5005	266	11	=	=	SYM
ejpam-5005	266	12	0	0	NUM
ejpam-5005	266	13	,	,	PUNCT
ejpam-5005	266	14	m	m	VERB
ejpam-5005	266	15	{	{	PUNCT
ejpam-5005	266	16	φ1(ξ)}+m	φ1(ξ)}+m	PROPN
ejpam-5005	266	17	{	{	PUNCT
ejpam-5005	266	18	φ2(ξ)}+m	φ2(ξ)}+m	PROPN
ejpam-5005	266	19	{	{	PUNCT
ejpam-5005	266	20	φ3	φ3	NOUN
ejpam-5005	266	21	′(ξ	′(ξ	NOUN
ejpam-5005	266	22	)	)	PUNCT
ejpam-5005	266	23	}	}	PUNCT
ejpam-5005	266	24	=	=	PUNCT
ejpam-5005	266	25	0	0	X
ejpam-5005	266	26	.	.	PUNCT
ejpam-5005	267	1			NOUN
ejpam-5005	267	2	(	(	PUNCT
ejpam-5005	267	3	32	32	NUM
ejpam-5005	267	4	)	)	PUNCT
ejpam-5005	267	5	operating	operate	VERB
ejpam-5005	267	6	m.t	m.t	PROPN
ejpam-5005	267	7	.	.	PROPN
ejpam-5005	268	1	on	on	ADP
ejpam-5005	268	2	(	(	PUNCT
ejpam-5005	268	3	32	32	NUM
ejpam-5005	268	4	)	)	PUNCT
ejpam-5005	268	5	and	and	CCONJ
ejpam-5005	268	6	using	use	VERB
ejpam-5005	268	7	the	the	DET
ejpam-5005	268	8	initial	initial	ADJ
ejpam-5005	268	9	condition	condition	NOUN
ejpam-5005	268	10	(	(	PUNCT
ejpam-5005	268	11	30	30	NUM
ejpam-5005	268	12	)	)	PUNCT
ejpam-5005	268	13	ζm	ζm	VERB
ejpam-5005	268	14	{	{	PUNCT
ejpam-5005	268	15	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	268	16	)	)	PUNCT
ejpam-5005	268	17	}	}	PUNCT
ejpam-5005	268	18	−	−	PROPN
ejpam-5005	268	19	ζ2φ1(0)−m	ζ2φ1(0)−m	NOUN
ejpam-5005	268	20	{	{	PUNCT
ejpam-5005	268	21	φ3(ξ	φ3(ξ	X
ejpam-5005	268	22	)	)	PUNCT
ejpam-5005	268	23	}	}	PUNCT
ejpam-5005	268	24	=	=	SYM
ejpam-5005	268	25	0	0	NUM
ejpam-5005	268	26	,	,	PUNCT
ejpam-5005	268	27	ζm	ζm	VERB
ejpam-5005	268	28	{	{	PUNCT
ejpam-5005	268	29	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	268	30	)	)	PUNCT
ejpam-5005	268	31	}	}	PUNCT
ejpam-5005	268	32	−	−	ADP
ejpam-5005	268	33	ζ2φ2(0	ζ2φ2(0	ADJ
ejpam-5005	268	34	)	)	PUNCT
ejpam-5005	268	35	+	+	NOUN
ejpam-5005	268	36	m	m	PRON
ejpam-5005	268	37	{	{	PUNCT
ejpam-5005	268	38	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	268	39	)	)	PUNCT
ejpam-5005	268	40	}	}	PUNCT
ejpam-5005	268	41	=	=	SYM
ejpam-5005	268	42	0	0	NUM
ejpam-5005	268	43	,	,	PUNCT
ejpam-5005	268	44	m	m	VERB
ejpam-5005	268	45	{	{	PUNCT
ejpam-5005	268	46	φ1(ξ)}+m	φ1(ξ)}+m	NOUN
ejpam-5005	268	47	{	{	PUNCT
ejpam-5005	268	48	φ2(ξ)}+	φ2(ξ)}+	NOUN
ejpam-5005	268	49	ζm	ζm	ADP
ejpam-5005	268	50	{	{	PUNCT
ejpam-5005	268	51	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	268	52	)	)	PUNCT
ejpam-5005	268	53	}	}	PUNCT
ejpam-5005	268	54	−	−	PROPN
ejpam-5005	268	55	ζ2φ3(0	ζ2φ3(0	PROPN
ejpam-5005	268	56	)	)	PUNCT
ejpam-5005	268	57	=	=	SYM
ejpam-5005	268	58	0	0	X
ejpam-5005	268	59	.	.	PUNCT
ejpam-5005	269	1			NOUN
ejpam-5005	269	2	(	(	PUNCT
ejpam-5005	269	3	33	33	NUM
ejpam-5005	269	4	)	)	PUNCT
ejpam-5005	269	5	simplifying	simplify	VERB
ejpam-5005	269	6	the	the	DET
ejpam-5005	269	7	system	system	NOUN
ejpam-5005	269	8	(	(	PUNCT
ejpam-5005	269	9	33	33	NUM
ejpam-5005	269	10	)	)	PUNCT
ejpam-5005	269	11	,	,	PUNCT
ejpam-5005	269	12	we	we	PRON
ejpam-5005	269	13	obtain	obtain	VERB
ejpam-5005	269	14	ζm	ζm	ADP
ejpam-5005	269	15	{	{	PUNCT
ejpam-5005	269	16	φ1(ξ	φ1(ξ	NOUN
ejpam-5005	269	17	)	)	PUNCT
ejpam-5005	269	18	}	}	PUNCT
ejpam-5005	269	19	−m	−m	NOUN
ejpam-5005	269	20	{	{	PUNCT
ejpam-5005	269	21	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	269	22	)	)	PUNCT
ejpam-5005	269	23	}	}	PUNCT
ejpam-5005	269	24	=	=	SYM
ejpam-5005	269	25	0	0	NUM
ejpam-5005	269	26	,	,	PUNCT
ejpam-5005	269	27	ζm	ζm	VERB
ejpam-5005	269	28	{	{	PUNCT
ejpam-5005	269	29	φ2(ξ)}+m	φ2(ξ)}+m	PROPN
ejpam-5005	269	30	{	{	PUNCT
ejpam-5005	269	31	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	269	32	)	)	PUNCT
ejpam-5005	269	33	}	}	PUNCT
ejpam-5005	269	34	=	=	SYM
ejpam-5005	269	35	ζ2	ζ2	NOUN
ejpam-5005	269	36	,	,	PUNCT
ejpam-5005	269	37	m	m	VERB
ejpam-5005	269	38	{	{	PUNCT
ejpam-5005	269	39	φ1(ξ)}+m	φ1(ξ)}+m	NOUN
ejpam-5005	269	40	{	{	PUNCT
ejpam-5005	269	41	φ2(ξ)}+	φ2(ξ)}+	NOUN
ejpam-5005	269	42	ζm	ζm	ADP
ejpam-5005	269	43	{	{	PUNCT
ejpam-5005	269	44	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	269	45	)	)	PUNCT
ejpam-5005	269	46	}	}	PUNCT
ejpam-5005	269	47	=	=	SYM
ejpam-5005	269	48	0	0	X
ejpam-5005	269	49	.	.	PUNCT
ejpam-5005	270	1			NOUN
ejpam-5005	270	2	(	(	PUNCT
ejpam-5005	270	3	34	34	NUM
ejpam-5005	270	4	)	)	PUNCT
ejpam-5005	270	5	using	use	VERB
ejpam-5005	270	6	cramer	cramer	PROPN
ejpam-5005	270	7	’s	’s	PART
ejpam-5005	270	8	rule	rule	NOUN
ejpam-5005	270	9	to	to	PART
ejpam-5005	270	10	solve	solve	VERB
ejpam-5005	270	11	m	m	PRON
ejpam-5005	270	12	{	{	PUNCT
ejpam-5005	270	13	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	270	14	)	)	PUNCT
ejpam-5005	270	15	}	}	PUNCT
ejpam-5005	270	16	,	,	PUNCT
ejpam-5005	270	17	m	m	VERB
ejpam-5005	270	18	{	{	PUNCT
ejpam-5005	270	19	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	270	20	)	)	PUNCT
ejpam-5005	270	21	}	}	PUNCT
ejpam-5005	270	22	and	and	CCONJ
ejpam-5005	270	23	m	m	PRON
ejpam-5005	270	24	{	{	PUNCT
ejpam-5005	270	25	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	270	26	)	)	PUNCT
ejpam-5005	270	27	}	}	PUNCT
ejpam-5005	270	28	on	on	ADP
ejpam-5005	270	29	the	the	DET
ejpam-5005	270	30	system	system	NOUN
ejpam-5005	270	31	(	(	PUNCT
ejpam-5005	270	32	34	34	NUM
ejpam-5005	270	33	)	)	PUNCT
ejpam-5005	270	34	m	m	VERB
ejpam-5005	270	35	{	{	PUNCT
ejpam-5005	270	36	φ1(ξ	φ1(ξ	PROPN
ejpam-5005	270	37	)	)	PUNCT
ejpam-5005	270	38	}	}	PUNCT
ejpam-5005	270	39	=	=	PUNCT
ejpam-5005	270	40	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	270	41	0	0	NUM
ejpam-5005	270	42	0	0	NUM
ejpam-5005	270	43	−1	−1	NOUN
ejpam-5005	270	44	ζ2	ζ2	NOUN
ejpam-5005	270	45	ζ	ζ	NOUN
ejpam-5005	270	46	1	1	NUM
ejpam-5005	270	47	0	0	NUM
ejpam-5005	270	48	1	1	NUM
ejpam-5005	270	49	ζ	ζ	NOUN
ejpam-5005	270	50	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	270	51	ζ	ζ	NOUN
ejpam-5005	270	52	0	0	NUM
ejpam-5005	270	53	−1	−1	NOUN
ejpam-5005	270	54	0	0	PUNCT
ejpam-5005	270	55	ζ	ζ	NOUN
ejpam-5005	270	56	1	1	NUM
ejpam-5005	270	57	1	1	NUM
ejpam-5005	270	58	1	1	NUM
ejpam-5005	270	59	ζ	ζ	NOUN
ejpam-5005	270	60	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	270	61	=	=	SYM
ejpam-5005	270	62	−1	−1	NOUN
ejpam-5005	270	63	ζ	ζ	NOUN
ejpam-5005	270	64	,	,	PUNCT
ejpam-5005	270	65	(	(	PUNCT
ejpam-5005	270	66	35	35	NUM
ejpam-5005	270	67	)	)	PUNCT
ejpam-5005	271	1	d.	d.	PROPN
ejpam-5005	271	2	k.	k.	PROPN
ejpam-5005	271	3	almutairi	almutairi	PROPN
ejpam-5005	271	4	et	et	PROPN
ejpam-5005	271	5	al	al	PROPN
ejpam-5005	271	6	.	.	PUNCT
ejpam-5005	271	7	/	/	SYM
ejpam-5005	271	8	eur	eur	PROPN
ejpam-5005	271	9	.	.	PUNCT
ejpam-5005	272	1	j.	j.	PROPN
ejpam-5005	272	2	pure	pure	PROPN
ejpam-5005	272	3	appl	appl	PROPN
ejpam-5005	272	4	.	.	PROPN
ejpam-5005	272	5	math	math	PROPN
ejpam-5005	272	6	,	,	PUNCT
ejpam-5005	272	7	17	17	NUM
ejpam-5005	272	8	(	(	PUNCT
ejpam-5005	272	9	1	1	NUM
ejpam-5005	272	10	)	)	PUNCT
ejpam-5005	272	11	(	(	PUNCT
ejpam-5005	272	12	2024	2024	NUM
ejpam-5005	272	13	)	)	PUNCT
ejpam-5005	272	14	,	,	PUNCT
ejpam-5005	272	15	385	385	NUM
ejpam-5005	272	16	-	-	SYM
ejpam-5005	272	17	409	409	NUM
ejpam-5005	272	18	397	397	NUM
ejpam-5005	272	19	m	m	PROPN
ejpam-5005	272	20	{	{	PUNCT
ejpam-5005	272	21	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	272	22	)	)	PUNCT
ejpam-5005	272	23	}	}	PUNCT
ejpam-5005	272	24	=	=	PUNCT
ejpam-5005	273	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	273	2	ζ	ζ	NOUN
ejpam-5005	273	3	0	0	NUM
ejpam-5005	273	4	−1	−1	NOUN
ejpam-5005	273	5	0	0	NUM
ejpam-5005	273	6	ζ2	ζ2	NOUN
ejpam-5005	273	7	1	1	NUM
ejpam-5005	273	8	1	1	NUM
ejpam-5005	273	9	0	0	NUM
ejpam-5005	273	10	ζ	ζ	NOUN
ejpam-5005	273	11	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	273	12	ζ	ζ	NOUN
ejpam-5005	273	13	0	0	NUM
ejpam-5005	273	14	−1	−1	NOUN
ejpam-5005	273	15	0	0	PUNCT
ejpam-5005	273	16	ζ	ζ	NOUN
ejpam-5005	273	17	1	1	NUM
ejpam-5005	273	18	1	1	NUM
ejpam-5005	273	19	1	1	NUM
ejpam-5005	273	20	ζ	ζ	NOUN
ejpam-5005	273	21	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	273	22	=	=	SYM
ejpam-5005	273	23	ζ	ζ	NOUN
ejpam-5005	273	24	+	+	CCONJ
ejpam-5005	273	25	(	(	PUNCT
ejpam-5005	273	26	1	1	NUM
ejpam-5005	273	27	ζ	ζ	NOUN
ejpam-5005	273	28	)	)	PUNCT
ejpam-5005	273	29	,	,	PUNCT
ejpam-5005	273	30	(	(	PUNCT
ejpam-5005	273	31	36	36	NUM
ejpam-5005	273	32	)	)	PUNCT
ejpam-5005	273	33	m	m	VERB
ejpam-5005	273	34	{	{	PUNCT
ejpam-5005	273	35	φ3(ξ	φ3(ξ	NOUN
ejpam-5005	273	36	)	)	PUNCT
ejpam-5005	273	37	}	}	PUNCT
ejpam-5005	273	38	=	=	PUNCT
ejpam-5005	273	39	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	274	1	ζ	ζ	NOUN
ejpam-5005	274	2	0	0	NUM
ejpam-5005	274	3	−0	−0	NOUN
ejpam-5005	274	4	0	0	NUM
ejpam-5005	274	5	ζ	ζ	NOUN
ejpam-5005	274	6	ζ2	ζ2	NOUN
ejpam-5005	274	7	1	1	NUM
ejpam-5005	274	8	1	1	NUM
ejpam-5005	274	9	0	0	NUM
ejpam-5005	274	10	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	274	11	ζ	ζ	NOUN
ejpam-5005	274	12	−1	−1	NOUN
ejpam-5005	274	13	0	0	PUNCT
ejpam-5005	274	14	ζ	ζ	NOUN
ejpam-5005	274	15	1	1	NUM
ejpam-5005	274	16	1	1	NUM
ejpam-5005	274	17	1	1	NUM
ejpam-5005	274	18	ζ	ζ	NOUN
ejpam-5005	274	19	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	NOUN
ejpam-5005	274	20	=	=	SYM
ejpam-5005	274	21	−1	−1	NOUN
ejpam-5005	274	22	.	.	PUNCT
ejpam-5005	275	1	(	(	PUNCT
ejpam-5005	275	2	37	37	NUM
ejpam-5005	275	3	)	)	PUNCT
ejpam-5005	275	4	by	by	ADP
ejpam-5005	275	5	applying	apply	VERB
ejpam-5005	275	6	the	the	DET
ejpam-5005	275	7	inverse	inverse	NOUN
ejpam-5005	275	8	m.t	m.t	PROPN
ejpam-5005	275	9	.	.	PROPN
ejpam-5005	276	1	on	on	ADP
ejpam-5005	276	2	the	the	DET
ejpam-5005	276	3	equations	equation	NOUN
ejpam-5005	276	4	(	(	PUNCT
ejpam-5005	276	5	35	35	NUM
ejpam-5005	276	6	)	)	PUNCT
ejpam-5005	276	7	,	,	PUNCT
ejpam-5005	276	8	(	(	PUNCT
ejpam-5005	276	9	36	36	NUM
ejpam-5005	276	10	)	)	PUNCT
ejpam-5005	276	11	and	and	CCONJ
ejpam-5005	276	12	(	(	PUNCT
ejpam-5005	276	13	37	37	NUM
ejpam-5005	276	14	)	)	PUNCT
ejpam-5005	276	15	,	,	PUNCT
ejpam-5005	276	16	then	then	ADV
ejpam-5005	276	17	we	we	PRON
ejpam-5005	276	18	have	have	VERB
ejpam-5005	276	19	φ1(ξ	φ1(ξ	NUM
ejpam-5005	276	20	)	)	PUNCT
ejpam-5005	276	21	=	=	SYM
ejpam-5005	277	1	m−1	m−1	PROPN
ejpam-5005	277	2	{	{	PUNCT
ejpam-5005	277	3	−1	−1	NOUN
ejpam-5005	277	4	ζ	ζ	NOUN
ejpam-5005	277	5	}	}	PUNCT
ejpam-5005	277	6	=	=	PUNCT
ejpam-5005	277	7	−ξ2	−ξ2	NOUN
ejpam-5005	277	8	2	2	NUM
ejpam-5005	277	9	,	,	PUNCT
ejpam-5005	277	10	(	(	PUNCT
ejpam-5005	277	11	38	38	NUM
ejpam-5005	277	12	)	)	PUNCT
ejpam-5005	277	13	φ2(ξ	φ2(ξ	NOUN
ejpam-5005	277	14	)	)	PUNCT
ejpam-5005	277	15	=	=	SYM
ejpam-5005	277	16	m−1	m−1	PROPN
ejpam-5005	277	17	{	{	PUNCT
ejpam-5005	277	18	ζ	ζ	NOUN
ejpam-5005	277	19	+	+	CCONJ
ejpam-5005	277	20	1	1	NUM
ejpam-5005	277	21	ζ	ζ	NOUN
ejpam-5005	277	22	}	}	PUNCT
ejpam-5005	277	23	=	=	SYM
ejpam-5005	277	24	1	1	NUM
ejpam-5005	277	25	+	+	CCONJ
ejpam-5005	277	26	ξ2	ξ2	NOUN
ejpam-5005	277	27	2	2	NUM
ejpam-5005	277	28	,	,	PUNCT
ejpam-5005	277	29	(	(	PUNCT
ejpam-5005	277	30	39	39	NUM
ejpam-5005	277	31	)	)	PUNCT
ejpam-5005	277	32	φ3(ξ	φ3(ξ	NUM
ejpam-5005	277	33	)	)	PUNCT
ejpam-5005	277	34	=	=	SYM
ejpam-5005	277	35	m−1{−1	m−1{−1	NOUN
ejpam-5005	277	36	}	}	PUNCT
ejpam-5005	277	37	=	=	SYM
ejpam-5005	277	38	−ξ	−ξ	NOUN
ejpam-5005	277	39	.	.	PUNCT
ejpam-5005	278	1	(	(	PUNCT
ejpam-5005	278	2	40	40	NUM
ejpam-5005	278	3	)	)	PUNCT
ejpam-5005	278	4	equations	equation	NOUN
ejpam-5005	278	5	(	(	PUNCT
ejpam-5005	278	6	38	38	NUM
ejpam-5005	278	7	)	)	PUNCT
ejpam-5005	278	8	,	,	PUNCT
ejpam-5005	278	9	(	(	PUNCT
ejpam-5005	278	10	39	39	NUM
ejpam-5005	278	11	)	)	PUNCT
ejpam-5005	278	12	and	and	CCONJ
ejpam-5005	278	13	(	(	PUNCT
ejpam-5005	278	14	40	40	NUM
ejpam-5005	278	15	)	)	PUNCT
ejpam-5005	278	16	give	give	VERB
ejpam-5005	278	17	the	the	DET
ejpam-5005	278	18	solution	solution	NOUN
ejpam-5005	278	19	of	of	ADP
ejpam-5005	278	20	the	the	DET
ejpam-5005	278	21	system	system	NOUN
ejpam-5005	278	22	(	(	PUNCT
ejpam-5005	278	23	29	29	NUM
ejpam-5005	278	24	)	)	PUNCT
ejpam-5005	278	25	with	with	ADP
ejpam-5005	278	26	the	the	DET
ejpam-5005	278	27	initial	initial	ADJ
ejpam-5005	278	28	condition	condition	NOUN
ejpam-5005	278	29	(	(	PUNCT
ejpam-5005	278	30	30	30	NUM
ejpam-5005	278	31	)	)	PUNCT
ejpam-5005	278	32	.	.	PUNCT
ejpam-5005	279	1	4	4	X
ejpam-5005	279	2	.	.	X
ejpam-5005	279	3	chemical	chemical	ADJ
ejpam-5005	279	4	-physical	-physical	ADJ
ejpam-5005	279	5	application	application	NOUN
ejpam-5005	279	6	this	this	DET
ejpam-5005	279	7	section	section	NOUN
ejpam-5005	279	8	of	of	ADP
ejpam-5005	279	9	the	the	DET
ejpam-5005	279	10	study	study	NOUN
ejpam-5005	279	11	includes	include	VERB
ejpam-5005	279	12	a	a	DET
ejpam-5005	279	13	chemical	chemical	NOUN
ejpam-5005	279	14	-	-	PUNCT
ejpam-5005	279	15	physical	physical	ADJ
ejpam-5005	279	16	application	application	NOUN
ejpam-5005	279	17	to	to	PART
ejpam-5005	279	18	estimate	estimate	VERB
ejpam-5005	279	19	the	the	DET
ejpam-5005	279	20	concentrations	concentration	NOUN
ejpam-5005	279	21	c1	c1	PROPN
ejpam-5005	279	22	,	,	PUNCT
ejpam-5005	279	23	c2	c2	PROPN
ejpam-5005	279	24	and	and	CCONJ
ejpam-5005	279	25	c3	c3	PROPN
ejpam-5005	279	26	of	of	ADP
ejpam-5005	279	27	three	three	NUM
ejpam-5005	279	28	reactants	reactant	NOUN
ejpam-5005	279	29	x	x	X
ejpam-5005	279	30	,	,	PUNCT
ejpam-5005	279	31	y	y	PROPN
ejpam-5005	279	32	and	and	CCONJ
ejpam-5005	279	33	z	z	PROPN
ejpam-5005	279	34	of	of	ADP
ejpam-5005	279	35	a	a	DET
ejpam-5005	279	36	first	first	ADJ
ejpam-5005	279	37	-	-	PUNCT
ejpam-5005	279	38	order	order	NOUN
ejpam-5005	279	39	chemical	chemical	NOUN
ejpam-5005	279	40	reaction	reaction	NOUN
ejpam-5005	279	41	in	in	ADP
ejpam-5005	279	42	batches	batch	NOUN
ejpam-5005	279	43	defined	define	VERB
ejpam-5005	279	44	that	that	PRON
ejpam-5005	279	45	is	be	AUX
ejpam-5005	279	46	solved	solve	VERB
ejpam-5005	279	47	and	and	CCONJ
ejpam-5005	279	48	discussed	discuss	VERB
ejpam-5005	279	49	by	by	ADP
ejpam-5005	279	50	the	the	DET
ejpam-5005	279	51	m.t	m.t	PROPN
ejpam-5005	279	52	..	..	SYM
ejpam-5005	279	53	reactant	reactant	NOUN
ejpam-5005	279	54	x	x	SYM
ejpam-5005	279	55	−→	−→	NOUN
ejpam-5005	279	56	reactant	reactant	NOUN
ejpam-5005	279	57	y	y	PROPN
ejpam-5005	279	58	−→	−→	NOUN
ejpam-5005	279	59	reactant	reactant	NOUN
ejpam-5005	279	60	z.	z.	PROPN
ejpam-5005	279	61	dc1	dc1	PROPN
ejpam-5005	279	62	dt	dt	X
ejpam-5005	280	1	=	=	SYM
ejpam-5005	280	2	−λ1c1	−λ1c1	PROPN
ejpam-5005	280	3	,	,	PUNCT
ejpam-5005	280	4	dc2	dc2	PROPN
ejpam-5005	280	5	dt	dt	NOUN
ejpam-5005	281	1	=	=	PUNCT
ejpam-5005	281	2	λ1c1	λ1c1	NOUN
ejpam-5005	281	3	−	−	X
ejpam-5005	282	1	λ2c2	λ2c2	NOUN
ejpam-5005	282	2	,	,	PUNCT
ejpam-5005	282	3	dc3	dc3	NOUN
ejpam-5005	282	4	dt	dt	NOUN
ejpam-5005	283	1	=	=	PUNCT
ejpam-5005	283	2	λ2c2	λ2c2	ADJ
ejpam-5005	283	3	.	.	PUNCT
ejpam-5005	284	1			NOUN
ejpam-5005	284	2	(	(	PUNCT
ejpam-5005	284	3	41	41	NUM
ejpam-5005	284	4	)	)	PUNCT
ejpam-5005	284	5	with	with	ADP
ejpam-5005	284	6	c1(0	c1(0	PROPN
ejpam-5005	284	7	)	)	PUNCT
ejpam-5005	284	8	=	=	SYM
ejpam-5005	284	9	α	α	PROPN
ejpam-5005	284	10	,	,	PUNCT
ejpam-5005	284	11	c2(0	c2(0	PROPN
ejpam-5005	284	12	)	)	PUNCT
ejpam-5005	284	13	=	=	SYM
ejpam-5005	284	14	0	0	NUM
ejpam-5005	284	15	and	and	CCONJ
ejpam-5005	284	16	c3(0	c3(0	PROPN
ejpam-5005	284	17	)	)	PUNCT
ejpam-5005	284	18	=	=	SYM
ejpam-5005	284	19	0	0	X
ejpam-5005	284	20	.	.	PUNCT
ejpam-5005	285	1	(	(	PUNCT
ejpam-5005	285	2	42	42	X
ejpam-5005	285	3	)	)	PUNCT
ejpam-5005	285	4	d.	d.	PROPN
ejpam-5005	285	5	k.	k.	PROPN
ejpam-5005	285	6	almutairi	almutairi	PROPN
ejpam-5005	285	7	et	et	PROPN
ejpam-5005	285	8	al	al	PROPN
ejpam-5005	285	9	.	.	PUNCT
ejpam-5005	285	10	/	/	SYM
ejpam-5005	285	11	eur	eur	PROPN
ejpam-5005	285	12	.	.	PUNCT
ejpam-5005	286	1	j.	j.	PROPN
ejpam-5005	286	2	pure	pure	PROPN
ejpam-5005	286	3	appl	appl	PROPN
ejpam-5005	286	4	.	.	PROPN
ejpam-5005	286	5	math	math	PROPN
ejpam-5005	286	6	,	,	PUNCT
ejpam-5005	286	7	17	17	NUM
ejpam-5005	286	8	(	(	PUNCT
ejpam-5005	286	9	1	1	NUM
ejpam-5005	286	10	)	)	PUNCT
ejpam-5005	286	11	(	(	PUNCT
ejpam-5005	286	12	2024	2024	NUM
ejpam-5005	286	13	)	)	PUNCT
ejpam-5005	286	14	,	,	PUNCT
ejpam-5005	286	15	385	385	NUM
ejpam-5005	286	16	-	-	SYM
ejpam-5005	286	17	409	409	NUM
ejpam-5005	286	18	398	398	NUM
ejpam-5005	286	19	c1	c1	NOUN
ejpam-5005	286	20	=	=	PUNCT
ejpam-5005	286	21	c1(t	c1(t	PROPN
ejpam-5005	286	22	)	)	PUNCT
ejpam-5005	286	23	=	=	VERB
ejpam-5005	286	24	concentration	concentration	NOUN
ejpam-5005	286	25	of	of	ADP
ejpam-5005	286	26	achemical	achemical	ADJ
ejpam-5005	286	27	reactant	reactant	NOUN
ejpam-5005	286	28	x	x	PUNCT
ejpam-5005	286	29	at	at	ADP
ejpam-5005	286	30	time	time	NOUN
ejpam-5005	286	31	t	t	PROPN
ejpam-5005	286	32	,	,	PUNCT
ejpam-5005	286	33	c2	c2	PROPN
ejpam-5005	286	34	=	=	SYM
ejpam-5005	286	35	c2(t	c2(t	PROPN
ejpam-5005	286	36	)	)	PUNCT
ejpam-5005	286	37	=	=	SYM
ejpam-5005	286	38	concentration	concentration	NOUN
ejpam-5005	286	39	of	of	ADP
ejpam-5005	286	40	achemical	achemical	ADJ
ejpam-5005	286	41	reactant	reactant	NOUN
ejpam-5005	286	42	y	y	NOUN
ejpam-5005	286	43	at	at	ADP
ejpam-5005	286	44	time	time	NOUN
ejpam-5005	286	45	t	t	PROPN
ejpam-5005	286	46	,	,	PUNCT
ejpam-5005	286	47	c3	c3	PROPN
ejpam-5005	286	48	=	=	SYM
ejpam-5005	286	49	c3(t	c3(t	PROPN
ejpam-5005	286	50	)	)	PUNCT
ejpam-5005	286	51	=	=	VERB
ejpam-5005	286	52	concentration	concentration	NOUN
ejpam-5005	286	53	of	of	ADP
ejpam-5005	286	54	achemical	achemical	ADJ
ejpam-5005	286	55	reactant	reactant	NOUN
ejpam-5005	286	56	z	z	NOUN
ejpam-5005	286	57	at	at	ADP
ejpam-5005	286	58	time	time	NOUN
ejpam-5005	286	59	t	t	PROPN
ejpam-5005	286	60	,	,	PUNCT
ejpam-5005	286	61	where	where	SCONJ
ejpam-5005	286	62	λ1	λ1	ADJ
ejpam-5005	286	63	,	,	PUNCT
ejpam-5005	286	64	λ2	λ2	NOUN
ejpam-5005	286	65	=	=	SYM
ejpam-5005	286	66	rate	rate	NOUN
ejpam-5005	286	67	constant	constant	ADJ
ejpam-5005	286	68	>	>	X
ejpam-5005	286	69	0	0	X
ejpam-5005	286	70	.	.	PUNCT
ejpam-5005	287	1	c1(0	c1(0	PROPN
ejpam-5005	287	2	)	)	PUNCT
ejpam-5005	288	1	=	=	SYM
ejpam-5005	288	2	α	α	NOUN
ejpam-5005	288	3	=	=	PUNCT
ejpam-5005	289	1	the	the	DET
ejpam-5005	289	2	initial	initial	ADJ
ejpam-5005	289	3	concentration	concentration	NOUN
ejpam-5005	289	4	of	of	ADP
ejpam-5005	289	5	achemical	achemical	ADJ
ejpam-5005	289	6	reactant	reactant	NOUN
ejpam-5005	289	7	x	x	NOUN
ejpam-5005	289	8	,	,	PUNCT
ejpam-5005	289	9	c2(0	c2(0	PROPN
ejpam-5005	289	10	)	)	PUNCT
ejpam-5005	289	11	=	=	SYM
ejpam-5005	289	12	0	0	PUNCT
ejpam-5005	290	1	=	=	NOUN
ejpam-5005	290	2	the	the	DET
ejpam-5005	290	3	initial	initial	ADJ
ejpam-5005	290	4	concentration	concentration	NOUN
ejpam-5005	290	5	of	of	ADP
ejpam-5005	290	6	achemical	achemical	ADJ
ejpam-5005	290	7	reactant	reactant	NOUN
ejpam-5005	290	8	y	y	PROPN
ejpam-5005	290	9	,	,	PUNCT
ejpam-5005	290	10	c3(0	c3(0	PROPN
ejpam-5005	290	11	)	)	PUNCT
ejpam-5005	290	12	=	=	SYM
ejpam-5005	290	13	0	0	PUNCT
ejpam-5005	291	1	=	=	NOUN
ejpam-5005	291	2	the	the	DET
ejpam-5005	291	3	initial	initial	ADJ
ejpam-5005	291	4	concentration	concentration	NOUN
ejpam-5005	291	5	of	of	ADP
ejpam-5005	291	6	achemical	achemical	ADJ
ejpam-5005	291	7	reactant	reactant	NOUN
ejpam-5005	291	8	z.	z.	PROPN
ejpam-5005	291	9			VERB
ejpam-5005	291	10	the	the	DET
ejpam-5005	291	11	matrix	matrix	NOUN
ejpam-5005	291	12	form	form	NOUN
ejpam-5005	291	13	of	of	ADP
ejpam-5005	291	14	the	the	DET
ejpam-5005	291	15	system	system	NOUN
ejpam-5005	291	16	(	(	PUNCT
ejpam-5005	291	17	41	41	NUM
ejpam-5005	291	18	)	)	PUNCT
ejpam-5005	291	19	with	with	ADP
ejpam-5005	291	20	the	the	DET
ejpam-5005	291	21	initial	initial	ADJ
ejpam-5005	291	22	conditions	condition	NOUN
ejpam-5005	291	23	(	(	PUNCT
ejpam-5005	291	24	42	42	NUM
ejpam-5005	291	25	):	):	PUNCT
ejpam-5005	291	26	dc	dc	PROPN
ejpam-5005	291	27	dt	dt	NOUN
ejpam-5005	291	28	=	=	SYM
ejpam-5005	291	29	hc(t	hc(t	PROPN
ejpam-5005	291	30	)	)	PUNCT
ejpam-5005	292	1	+	+	NUM
ejpam-5005	292	2	ρ(t	ρ(t	NUM
ejpam-5005	292	3	)	)	PUNCT
ejpam-5005	292	4	,	,	PUNCT
ejpam-5005	292	5	withc(0	withc(0	PROPN
ejpam-5005	292	6	)	)	PUNCT
ejpam-5005	292	7	=	=	SYM
ejpam-5005	292	8	b	b	PROPN
ejpam-5005	292	9	,	,	PUNCT
ejpam-5005	292	10	(	(	PUNCT
ejpam-5005	292	11	43	43	NUM
ejpam-5005	292	12	)	)	PUNCT
ejpam-5005	293	1	where	where	SCONJ
ejpam-5005	293	2	:	:	PUNCT
ejpam-5005	293	3	dc	dc	PROPN
ejpam-5005	293	4	dt	dt	X
ejpam-5005	293	5	=	=	SYM
ejpam-5005	293	6			PROPN
ejpam-5005	293	7	dc1	dc1	PROPN
ejpam-5005	293	8	dt	dt	X
ejpam-5005	293	9	dc2	dc2	PROPN
ejpam-5005	293	10	dt	dt	X
ejpam-5005	293	11	dc3	dc3	PROPN
ejpam-5005	293	12	dt	dt	NOUN
ejpam-5005	293	13			NOUN
ejpam-5005	293	14	,	,	PUNCT
ejpam-5005	293	15	h	h	NOUN
ejpam-5005	293	16	=	=	SYM
ejpam-5005	293	17			PROPN
ejpam-5005	294	1	−λ1	−λ1	NOUN
ejpam-5005	294	2	0	0	NUM
ejpam-5005	294	3	0	0	NUM
ejpam-5005	295	1	λ1	λ1	ADJ
ejpam-5005	295	2	−λ2	−λ2	NOUN
ejpam-5005	295	3	0	0	NUM
ejpam-5005	295	4	0	0	NUM
ejpam-5005	295	5	λ2	λ2	NOUN
ejpam-5005	295	6	0	0	NUM
ejpam-5005	295	7			NOUN
ejpam-5005	295	8	,	,	PUNCT
ejpam-5005	295	9	c(t	c(t	PROPN
ejpam-5005	295	10	)	)	PUNCT
ejpam-5005	295	11	=	=	PUNCT
ejpam-5005	296	1			NOUN
ejpam-5005	296	2	c1(t	c1(t	NOUN
ejpam-5005	296	3	)	)	PUNCT
ejpam-5005	296	4	c2(t	c2(t	PROPN
ejpam-5005	296	5	)	)	PUNCT
ejpam-5005	296	6	c3(t	c3(t	ADJ
ejpam-5005	296	7	)	)	PUNCT
ejpam-5005	296	8			NOUN
ejpam-5005	296	9	,	,	PUNCT
ejpam-5005	296	10	ρ(t	ρ(t	NUM
ejpam-5005	296	11	)	)	PUNCT
ejpam-5005	296	12	=	=	PUNCT
ejpam-5005	297	1			NOUN
ejpam-5005	297	2	0	0	NUM
ejpam-5005	297	3	0	0	NUM
ejpam-5005	297	4	0	0	NUM
ejpam-5005	297	5			NOUN
ejpam-5005	297	6	,	,	PUNCT
ejpam-5005	297	7	c(0	c(0	NOUN
ejpam-5005	297	8	)	)	PUNCT
ejpam-5005	297	9	=	=	SYM
ejpam-5005	297	10			PROPN
ejpam-5005	297	11	c1(0	c1(0	PROPN
ejpam-5005	297	12	)	)	PUNCT
ejpam-5005	297	13	c2(0	c2(0	PROPN
ejpam-5005	297	14	)	)	PUNCT
ejpam-5005	297	15	c3(0	c3(0	PROPN
ejpam-5005	297	16	)	)	PUNCT
ejpam-5005	297	17			NOUN
ejpam-5005	297	18	,	,	PUNCT
ejpam-5005	297	19	and	and	CCONJ
ejpam-5005	297	20	b	b	X
ejpam-5005	297	21	=	=	SYM
ejpam-5005	297	22			PROPN
ejpam-5005	297	23	α	α	NOUN
ejpam-5005	297	24	0	0	NUM
ejpam-5005	297	25	0	0	NUM
ejpam-5005	297	26			NOUN
ejpam-5005	297	27	.	.	PUNCT
ejpam-5005	298	1	by	by	ADP
ejpam-5005	298	2	applying	apply	VERB
ejpam-5005	298	3	m.t	m.t	PROPN
ejpam-5005	298	4	.	.	PROPN
ejpam-5005	299	1	on	on	ADP
ejpam-5005	299	2	the	the	DET
ejpam-5005	299	3	system	system	NOUN
ejpam-5005	299	4	(	(	PUNCT
ejpam-5005	299	5	41	41	NUM
ejpam-5005	299	6	)	)	PUNCT
ejpam-5005	299	7	,	,	PUNCT
ejpam-5005	299	8	we	we	PRON
ejpam-5005	299	9	get	get	VERB
ejpam-5005	299	10	:	:	PUNCT
ejpam-5005	299	11	m	m	VERB
ejpam-5005	299	12	{	{	PUNCT
ejpam-5005	299	13	c	c	NOUN
ejpam-5005	299	14	′	′	NUM
ejpam-5005	299	15	1(t)}+	1(t)}+	NUM
ejpam-5005	300	1	λ1	λ1	NUM
ejpam-5005	300	2	m	m	NOUN
ejpam-5005	300	3	{	{	PUNCT
ejpam-5005	300	4	c1(t	c1(t	NOUN
ejpam-5005	300	5	)	)	PUNCT
ejpam-5005	300	6	}	}	PUNCT
ejpam-5005	300	7	=	=	SYM
ejpam-5005	300	8	0	0	NUM
ejpam-5005	300	9	,	,	PUNCT
ejpam-5005	300	10	m	m	VERB
ejpam-5005	300	11	{	{	PUNCT
ejpam-5005	300	12	c	c	NOUN
ejpam-5005	300	13	′	′	NUM
ejpam-5005	300	14	2(t	2(t	NUM
ejpam-5005	300	15	)	)	PUNCT
ejpam-5005	300	16	}	}	PUNCT
ejpam-5005	300	17	−	−	PROPN
ejpam-5005	301	1	λ1	λ1	PROPN
ejpam-5005	301	2	m	m	NOUN
ejpam-5005	301	3	{	{	PUNCT
ejpam-5005	301	4	c1(t)}+	c1(t)}+	NUM
ejpam-5005	301	5	λ2	λ2	NUM
ejpam-5005	301	6	m	m	VERB
ejpam-5005	301	7	{	{	PUNCT
ejpam-5005	301	8	c2(t	c2(t	NOUN
ejpam-5005	301	9	)	)	PUNCT
ejpam-5005	301	10	}	}	PUNCT
ejpam-5005	301	11	=	=	SYM
ejpam-5005	301	12	0	0	NUM
ejpam-5005	301	13	,	,	PUNCT
ejpam-5005	301	14	m	m	VERB
ejpam-5005	301	15	{	{	PUNCT
ejpam-5005	301	16	c	c	NOUN
ejpam-5005	301	17	′	′	NUM
ejpam-5005	301	18	3(t	3(t	NUM
ejpam-5005	301	19	)	)	PUNCT
ejpam-5005	301	20	}	}	PUNCT
ejpam-5005	301	21	−	−	PROPN
ejpam-5005	301	22	λ2	λ2	NOUN
ejpam-5005	301	23	m	m	VERB
ejpam-5005	301	24	{	{	PUNCT
ejpam-5005	301	25	c2(t	c2(t	NOUN
ejpam-5005	301	26	)	)	PUNCT
ejpam-5005	301	27	}	}	PUNCT
ejpam-5005	301	28	=	=	SYM
ejpam-5005	301	29	0	0	X
ejpam-5005	301	30	.	.	PUNCT
ejpam-5005	302	1			NOUN
ejpam-5005	302	2	(	(	PUNCT
ejpam-5005	302	3	44	44	NUM
ejpam-5005	302	4	)	)	PUNCT
ejpam-5005	302	5	operating	operate	VERB
ejpam-5005	302	6	m.t	m.t	PROPN
ejpam-5005	302	7	.	.	PROPN
ejpam-5005	303	1	to	to	ADP
ejpam-5005	303	2	(	(	PUNCT
ejpam-5005	303	3	44	44	NUM
ejpam-5005	303	4	)	)	PUNCT
ejpam-5005	303	5	and	and	CCONJ
ejpam-5005	303	6	using	use	VERB
ejpam-5005	303	7	the	the	DET
ejpam-5005	303	8	initial	initial	ADJ
ejpam-5005	303	9	conditions	condition	NOUN
ejpam-5005	303	10	(	(	PUNCT
ejpam-5005	303	11	42	42	NUM
ejpam-5005	303	12	)	)	PUNCT
ejpam-5005	303	13	ζm	ζm	VERB
ejpam-5005	303	14	{	{	PUNCT
ejpam-5005	303	15	c1(t	c1(t	NOUN
ejpam-5005	303	16	)	)	PUNCT
ejpam-5005	303	17	}	}	PUNCT
ejpam-5005	303	18	−	−	ADP
ejpam-5005	303	19	ζ2c1(0	ζ2c1(0	PROPN
ejpam-5005	303	20	)	)	PUNCT
ejpam-5005	303	21	+	+	SYM
ejpam-5005	304	1	λ1	λ1	PROPN
ejpam-5005	304	2	m	m	PRON
ejpam-5005	304	3	{	{	PUNCT
ejpam-5005	304	4	c1(t	c1(t	NOUN
ejpam-5005	304	5	)	)	PUNCT
ejpam-5005	304	6	}	}	PUNCT
ejpam-5005	304	7	=	=	SYM
ejpam-5005	304	8	0	0	NUM
ejpam-5005	304	9	,	,	PUNCT
ejpam-5005	304	10	ζm	ζm	ADP
ejpam-5005	304	11	{	{	PUNCT
ejpam-5005	304	12	c2(t	c2(t	PROPN
ejpam-5005	304	13	)	)	PUNCT
ejpam-5005	304	14	}	}	PUNCT
ejpam-5005	304	15	−	−	ADP
ejpam-5005	304	16	ζ2c2(0	ζ2c2(0	NOUN
ejpam-5005	304	17	)	)	PUNCT
ejpam-5005	305	1	+	+	SYM
ejpam-5005	305	2	λ2	λ2	NUM
ejpam-5005	305	3	m	m	VERB
ejpam-5005	305	4	{	{	PUNCT
ejpam-5005	305	5	c2(t	c2(t	NOUN
ejpam-5005	305	6	)	)	PUNCT
ejpam-5005	305	7	}	}	PUNCT
ejpam-5005	305	8	−	−	PROPN
ejpam-5005	306	1	λ1	λ1	PROPN
ejpam-5005	306	2	m	m	PROPN
ejpam-5005	306	3	{	{	PUNCT
ejpam-5005	306	4	c1(t	c1(t	NOUN
ejpam-5005	306	5	)	)	PUNCT
ejpam-5005	306	6	}	}	PUNCT
ejpam-5005	306	7	=	=	SYM
ejpam-5005	306	8	0	0	NUM
ejpam-5005	306	9	,	,	PUNCT
ejpam-5005	306	10	ζm	ζm	ADP
ejpam-5005	306	11	{	{	PUNCT
ejpam-5005	306	12	c3(t	c3(t	PROPN
ejpam-5005	306	13	)	)	PUNCT
ejpam-5005	306	14	}	}	PUNCT
ejpam-5005	306	15	−	−	PROPN
ejpam-5005	307	1	ζ2c3(0)−	ζ2c3(0)−	SYM
ejpam-5005	307	2	λ2	λ2	PROPN
ejpam-5005	307	3	m	m	VERB
ejpam-5005	307	4	{	{	PUNCT
ejpam-5005	307	5	c2(t	c2(t	NOUN
ejpam-5005	307	6	)	)	PUNCT
ejpam-5005	307	7	}	}	PUNCT
ejpam-5005	307	8	=	=	SYM
ejpam-5005	307	9	0	0	X
ejpam-5005	307	10	.	.	PUNCT
ejpam-5005	308	1			NOUN
ejpam-5005	308	2	(	(	PUNCT
ejpam-5005	308	3	45	45	NUM
ejpam-5005	308	4	)	)	PUNCT
ejpam-5005	308	5	simplifying	simplify	VERB
ejpam-5005	308	6	the	the	DET
ejpam-5005	308	7	system	system	NOUN
ejpam-5005	308	8	(	(	PUNCT
ejpam-5005	308	9	45	45	NUM
ejpam-5005	308	10	)	)	PUNCT
ejpam-5005	308	11	,	,	PUNCT
ejpam-5005	308	12	we	we	PRON
ejpam-5005	308	13	obtain	obtain	VERB
ejpam-5005	308	14	(	(	PUNCT
ejpam-5005	308	15	ζ	ζ	NOUN
ejpam-5005	308	16	+	+	X
ejpam-5005	308	17	λ1)m	λ1)m	ADJ
ejpam-5005	308	18	{	{	PUNCT
ejpam-5005	308	19	c1(t	c1(t	NOUN
ejpam-5005	308	20	)	)	PUNCT
ejpam-5005	308	21	}	}	PUNCT
ejpam-5005	308	22	=	=	SYM
ejpam-5005	308	23	ζ2α	ζ2α	NOUN
ejpam-5005	308	24	,	,	PUNCT
ejpam-5005	308	25	(	(	PUNCT
ejpam-5005	308	26	ζ	ζ	NOUN
ejpam-5005	308	27	+	+	NUM
ejpam-5005	308	28	λ2)m	λ2)m	NOUN
ejpam-5005	308	29	{	{	PUNCT
ejpam-5005	308	30	c2(t	c2(t	NOUN
ejpam-5005	308	31	)	)	PUNCT
ejpam-5005	308	32	}	}	PUNCT
ejpam-5005	308	33	−	−	PROPN
ejpam-5005	309	1	λ1	λ1	PROPN
ejpam-5005	309	2	m	m	PROPN
ejpam-5005	309	3	{	{	PUNCT
ejpam-5005	309	4	c1(t	c1(t	NOUN
ejpam-5005	309	5	)	)	PUNCT
ejpam-5005	309	6	}	}	PUNCT
ejpam-5005	309	7	=	=	SYM
ejpam-5005	309	8	0	0	NUM
ejpam-5005	309	9	,	,	PUNCT
ejpam-5005	309	10	ζm	ζm	ADP
ejpam-5005	309	11	{	{	PUNCT
ejpam-5005	309	12	c3(t	c3(t	PROPN
ejpam-5005	309	13	)	)	PUNCT
ejpam-5005	309	14	}	}	PUNCT
ejpam-5005	309	15	−	−	PROPN
ejpam-5005	309	16	λ2	λ2	NOUN
ejpam-5005	309	17	m	m	VERB
ejpam-5005	309	18	{	{	PUNCT
ejpam-5005	309	19	c2(t	c2(t	NOUN
ejpam-5005	309	20	)	)	PUNCT
ejpam-5005	309	21	}	}	PUNCT
ejpam-5005	309	22	=	=	SYM
ejpam-5005	310	1	0	0	X
ejpam-5005	310	2	.	.	PUNCT
ejpam-5005	311	1			NOUN
ejpam-5005	311	2	(	(	PUNCT
ejpam-5005	311	3	46	46	NUM
ejpam-5005	311	4	)	)	PUNCT
ejpam-5005	311	5	using	use	VERB
ejpam-5005	311	6	cramer	cramer	PROPN
ejpam-5005	311	7	’s	’s	PART
ejpam-5005	311	8	rule	rule	NOUN
ejpam-5005	311	9	to	to	PART
ejpam-5005	311	10	solve	solve	VERB
ejpam-5005	311	11	m	m	PRON
ejpam-5005	311	12	{	{	PUNCT
ejpam-5005	311	13	c1(t	c1(t	NOUN
ejpam-5005	311	14	)	)	PUNCT
ejpam-5005	311	15	}	}	PUNCT
ejpam-5005	311	16	,	,	PUNCT
ejpam-5005	311	17	m	m	VERB
ejpam-5005	311	18	{	{	PUNCT
ejpam-5005	311	19	c2(t	c2(t	NOUN
ejpam-5005	311	20	)	)	PUNCT
ejpam-5005	311	21	}	}	PUNCT
ejpam-5005	311	22	and	and	CCONJ
ejpam-5005	311	23	m	m	PRON
ejpam-5005	311	24	{	{	PUNCT
ejpam-5005	311	25	c3(t	c3(t	PROPN
ejpam-5005	311	26	)	)	PUNCT
ejpam-5005	311	27	}	}	PUNCT
ejpam-5005	311	28	on	on	ADP
ejpam-5005	311	29	the	the	DET
ejpam-5005	311	30	system	system	NOUN
ejpam-5005	311	31	(	(	PUNCT
ejpam-5005	311	32	46	46	NUM
ejpam-5005	311	33	)	)	PUNCT
ejpam-5005	311	34	d.	d.	PROPN
ejpam-5005	311	35	k.	k.	PROPN
ejpam-5005	311	36	almutairi	almutairi	PROPN
ejpam-5005	311	37	et	et	PROPN
ejpam-5005	311	38	al	al	PROPN
ejpam-5005	311	39	.	.	PUNCT
ejpam-5005	311	40	/	/	SYM
ejpam-5005	311	41	eur	eur	PROPN
ejpam-5005	311	42	.	.	PUNCT
ejpam-5005	312	1	j.	j.	PROPN
ejpam-5005	312	2	pure	pure	PROPN
ejpam-5005	312	3	appl	appl	PROPN
ejpam-5005	312	4	.	.	PROPN
ejpam-5005	312	5	math	math	PROPN
ejpam-5005	312	6	,	,	PUNCT
ejpam-5005	312	7	17	17	NUM
ejpam-5005	312	8	(	(	PUNCT
ejpam-5005	312	9	1	1	NUM
ejpam-5005	312	10	)	)	PUNCT
ejpam-5005	312	11	(	(	PUNCT
ejpam-5005	312	12	2024	2024	NUM
ejpam-5005	312	13	)	)	PUNCT
ejpam-5005	312	14	,	,	PUNCT
ejpam-5005	312	15	385	385	NUM
ejpam-5005	312	16	-	-	SYM
ejpam-5005	312	17	409	409	NUM
ejpam-5005	312	18	399	399	NUM
ejpam-5005	312	19	m	m	NOUN
ejpam-5005	312	20	{	{	PUNCT
ejpam-5005	312	21	c1(t	c1(t	NOUN
ejpam-5005	312	22	)	)	PUNCT
ejpam-5005	312	23	}	}	PUNCT
ejpam-5005	312	24	=	=	SYM
ejpam-5005	313	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	313	2	ζ2α	ζ2α	ADV
ejpam-5005	313	3	0	0	NUM
ejpam-5005	313	4	0	0	NUM
ejpam-5005	313	5	0	0	NUM
ejpam-5005	313	6	ζ	ζ	NOUN
ejpam-5005	313	7	+	+	NUM
ejpam-5005	313	8	λ2	λ2	NOUN
ejpam-5005	313	9	0	0	NUM
ejpam-5005	313	10	0	0	NUM
ejpam-5005	313	11	−λ2	−λ2	NOUN
ejpam-5005	313	12	ζ	ζ	NOUN
ejpam-5005	313	13	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	313	14	ζ	ζ	NOUN
ejpam-5005	313	15	+	+	X
ejpam-5005	313	16	λ1	λ1	ADJ
ejpam-5005	313	17	0	0	NUM
ejpam-5005	313	18	0	0	NUM
ejpam-5005	314	1	−λ1	−λ1	NOUN
ejpam-5005	314	2	ζ	ζ	NOUN
ejpam-5005	314	3	+	+	CCONJ
ejpam-5005	314	4	λ2	λ2	NOUN
ejpam-5005	314	5	0	0	NUM
ejpam-5005	314	6	0	0	NUM
ejpam-5005	314	7	−λ2	−λ2	NOUN
ejpam-5005	314	8	ζ	ζ	NOUN
ejpam-5005	314	9	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	314	10	=	=	PUNCT
ejpam-5005	314	11	ζ3α(ζ+λ2	ζ3α(ζ+λ2	ADJ
ejpam-5005	314	12	)	)	PUNCT
ejpam-5005	314	13	ζ(ζ+λ2)(ζ+λ1	ζ(ζ+λ2)(ζ+λ1	PROPN
ejpam-5005	314	14	)	)	PUNCT
ejpam-5005	315	1	=	=	SYM
ejpam-5005	315	2	α	α	PROPN
ejpam-5005	315	3	(	(	PUNCT
ejpam-5005	315	4	ζ2	ζ2	NOUN
ejpam-5005	315	5	(	(	PUNCT
ejpam-5005	315	6	ζ+λ1	ζ+λ1	PROPN
ejpam-5005	315	7	)	)	PUNCT
ejpam-5005	315	8	)	)	PUNCT
ejpam-5005	315	9	,	,	PUNCT
ejpam-5005	315	10	(	(	PUNCT
ejpam-5005	315	11	47	47	NUM
ejpam-5005	315	12	)	)	PUNCT
ejpam-5005	315	13	m	m	VERB
ejpam-5005	315	14	{	{	PUNCT
ejpam-5005	315	15	c2(t	c2(t	NOUN
ejpam-5005	315	16	)	)	PUNCT
ejpam-5005	315	17	}	}	PUNCT
ejpam-5005	315	18	=	=	PUNCT
ejpam-5005	316	1	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	316	2	ζ	ζ	NOUN
ejpam-5005	316	3	+	+	X
ejpam-5005	316	4	λ1	λ1	ADJ
ejpam-5005	316	5	ζ2α	ζ2α	ADP
ejpam-5005	316	6	0	0	NUM
ejpam-5005	316	7	−λ1	−λ1	NOUN
ejpam-5005	316	8	0	0	NUM
ejpam-5005	316	9	0	0	NUM
ejpam-5005	316	10	0	0	NUM
ejpam-5005	316	11	0	0	NUM
ejpam-5005	316	12	ζ	ζ	NOUN
ejpam-5005	316	13	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	316	14	ζ	ζ	NOUN
ejpam-5005	316	15	+	+	X
ejpam-5005	316	16	λ1	λ1	ADJ
ejpam-5005	316	17	0	0	NUM
ejpam-5005	316	18	0	0	NUM
ejpam-5005	317	1	−λ1	−λ1	NOUN
ejpam-5005	318	1	ζ	ζ	NOUN
ejpam-5005	319	1	+	+	CCONJ
ejpam-5005	319	2	λ2	λ2	NOUN
ejpam-5005	319	3	0	0	NUM
ejpam-5005	319	4	0	0	NUM
ejpam-5005	319	5	−λ2	−λ2	NOUN
ejpam-5005	319	6	ζ	ζ	NOUN
ejpam-5005	319	7	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	319	8	=	=	SYM
ejpam-5005	319	9	ζ3αλ1	ζ3αλ1	NOUN
ejpam-5005	319	10	ζ(ζ+λ2)(ζ+λ1	ζ(ζ+λ2)(ζ+λ1	PROPN
ejpam-5005	319	11	)	)	PUNCT
ejpam-5005	320	1	=	=	SYM
ejpam-5005	320	2	αλ1	αλ1	X
ejpam-5005	320	3	(	(	PUNCT
ejpam-5005	320	4	ζ2	ζ2	NOUN
ejpam-5005	320	5	(	(	PUNCT
ejpam-5005	320	6	ζ+λ2)(ζ+λ1	ζ+λ2)(ζ+λ1	NOUN
ejpam-5005	320	7	)	)	PUNCT
ejpam-5005	320	8	)	)	PUNCT
ejpam-5005	320	9	,	,	PUNCT
ejpam-5005	320	10	(	(	PUNCT
ejpam-5005	320	11	48	48	NUM
ejpam-5005	320	12	)	)	PUNCT
ejpam-5005	320	13	m	m	VERB
ejpam-5005	320	14	{	{	PUNCT
ejpam-5005	320	15	c3(t	c3(t	PROPN
ejpam-5005	320	16	)	)	PUNCT
ejpam-5005	320	17	}	}	PUNCT
ejpam-5005	320	18	=	=	PUNCT
ejpam-5005	320	19	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-5005	320	20	ζ	ζ	NOUN
ejpam-5005	320	21	+	+	SYM
ejpam-5005	320	22	λ1	λ1	ADJ
ejpam-5005	320	23	0	0	PUNCT
ejpam-5005	320	24	ζ2α	ζ2α	NOUN
ejpam-5005	320	25	−λ1	−λ1	VERB
ejpam-5005	320	26	ζ	ζ	NOUN
ejpam-5005	320	27	+	+	CCONJ
ejpam-5005	320	28	λ2	λ2	NOUN
ejpam-5005	320	29	0	0	NUM
ejpam-5005	320	30	0	0	NUM
ejpam-5005	320	31	−λ2	−λ2	NOUN
ejpam-5005	320	32	0	0	NUM
ejpam-5005	320	33	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	320	34	ζ	ζ	NOUN
ejpam-5005	320	35	+	+	X
ejpam-5005	320	36	λ1	λ1	ADJ
ejpam-5005	320	37	0	0	NUM
ejpam-5005	320	38	0	0	NUM
ejpam-5005	321	1	−λ1	−λ1	NOUN
ejpam-5005	322	1	ζ	ζ	NOUN
ejpam-5005	323	1	+	+	CCONJ
ejpam-5005	323	2	λ2	λ2	NOUN
ejpam-5005	323	3	0	0	NUM
ejpam-5005	323	4	0	0	NUM
ejpam-5005	323	5	−λ2	−λ2	NOUN
ejpam-5005	323	6	ζ	ζ	NOUN
ejpam-5005	323	7	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-5005	324	1	=	=	SYM
ejpam-5005	325	1	αλ1λ2	αλ1λ2	PROPN
ejpam-5005	325	2	(	(	PUNCT
ejpam-5005	325	3	ζ	ζ	X
ejpam-5005	325	4	(	(	PUNCT
ejpam-5005	325	5	ζ+λ2)(ζ+λ1	ζ+λ2)(ζ+λ1	NOUN
ejpam-5005	325	6	)	)	PUNCT
ejpam-5005	325	7	)	)	PUNCT
ejpam-5005	325	8	.	.	PUNCT
ejpam-5005	326	1	(	(	PUNCT
ejpam-5005	326	2	49	49	NUM
ejpam-5005	326	3	)	)	PUNCT
ejpam-5005	326	4	by	by	ADP
ejpam-5005	326	5	applying	apply	VERB
ejpam-5005	326	6	the	the	DET
ejpam-5005	326	7	inverse	inverse	NOUN
ejpam-5005	326	8	m.t	m.t	PROPN
ejpam-5005	326	9	.	.	PROPN
ejpam-5005	327	1	on	on	ADP
ejpam-5005	327	2	the	the	DET
ejpam-5005	327	3	equations	equation	NOUN
ejpam-5005	327	4	(	(	PUNCT
ejpam-5005	327	5	47	47	NUM
ejpam-5005	327	6	)	)	PUNCT
ejpam-5005	327	7	,	,	PUNCT
ejpam-5005	327	8	(	(	PUNCT
ejpam-5005	327	9	48	48	NUM
ejpam-5005	327	10	)	)	PUNCT
ejpam-5005	327	11	and	and	CCONJ
ejpam-5005	327	12	(	(	PUNCT
ejpam-5005	327	13	49	49	NUM
ejpam-5005	327	14	)	)	PUNCT
ejpam-5005	327	15	then	then	ADV
ejpam-5005	327	16	,	,	PUNCT
ejpam-5005	327	17	we	we	PRON
ejpam-5005	327	18	have	have	VERB
ejpam-5005	327	19	c1(t	c1(t	NOUN
ejpam-5005	327	20	)	)	PUNCT
ejpam-5005	327	21	=	=	SYM
ejpam-5005	328	1	m−1	m−1	PROPN
ejpam-5005	328	2	{	{	PUNCT
ejpam-5005	328	3	α	α	PROPN
ejpam-5005	328	4	(	(	PUNCT
ejpam-5005	328	5	ζ2	ζ2	NOUN
ejpam-5005	328	6	(	(	PUNCT
ejpam-5005	328	7	ζ	ζ	NOUN
ejpam-5005	328	8	+	+	SYM
ejpam-5005	328	9	λ1	λ1	ADJ
ejpam-5005	328	10	)	)	PUNCT
ejpam-5005	328	11	)	)	PUNCT
ejpam-5005	328	12	}	}	PUNCT
ejpam-5005	329	1	=	=	SYM
ejpam-5005	329	2	αm−1	αm−1	NOUN
ejpam-5005	329	3	{	{	PUNCT
ejpam-5005	329	4	ζ2	ζ2	NOUN
ejpam-5005	329	5	(	(	PUNCT
ejpam-5005	329	6	ζ	ζ	NOUN
ejpam-5005	329	7	+	+	SYM
ejpam-5005	329	8	λ1	λ1	ADJ
ejpam-5005	329	9	)	)	PUNCT
ejpam-5005	329	10	}	}	PUNCT
ejpam-5005	329	11	=	=	SYM
ejpam-5005	329	12	αe−λ1	αe−λ1	NOUN
ejpam-5005	329	13	t.	t.	X
ejpam-5005	329	14	(	(	PUNCT
ejpam-5005	329	15	50	50	NUM
ejpam-5005	329	16	)	)	PUNCT
ejpam-5005	329	17	c2(t	c2(t	PROPN
ejpam-5005	329	18	)	)	PUNCT
ejpam-5005	329	19	=	=	SYM
ejpam-5005	330	1	m−1	m−1	PROPN
ejpam-5005	330	2	{	{	PUNCT
ejpam-5005	330	3	α	α	PROPN
ejpam-5005	330	4	(	(	PUNCT
ejpam-5005	330	5	ζ2	ζ2	NOUN
ejpam-5005	330	6	(	(	PUNCT
ejpam-5005	330	7	ζ	ζ	NOUN
ejpam-5005	330	8	+	+	SYM
ejpam-5005	330	9	λ2	λ2	NOUN
ejpam-5005	330	10	)	)	PUNCT
ejpam-5005	330	11	(	(	PUNCT
ejpam-5005	330	12	ζ	ζ	NOUN
ejpam-5005	330	13	+	+	SYM
ejpam-5005	330	14	λ1	λ1	ADJ
ejpam-5005	330	15	)	)	PUNCT
ejpam-5005	330	16	)	)	PUNCT
ejpam-5005	330	17	}	}	PUNCT
ejpam-5005	331	1	=	=	SYM
ejpam-5005	331	2	αλ1	αλ1	X
ejpam-5005	331	3	m	m	VERB
ejpam-5005	331	4	−1	−1	NOUN
ejpam-5005	331	5	{	{	PUNCT
ejpam-5005	331	6	ζ2	ζ2	NOUN
ejpam-5005	331	7	(	(	PUNCT
ejpam-5005	331	8	ζ	ζ	NOUN
ejpam-5005	331	9	+	+	SYM
ejpam-5005	331	10	λ2	λ2	NOUN
ejpam-5005	331	11	)	)	PUNCT
ejpam-5005	331	12	(	(	PUNCT
ejpam-5005	331	13	ζ	ζ	NOUN
ejpam-5005	331	14	+	+	SYM
ejpam-5005	331	15	λ1	λ1	ADJ
ejpam-5005	331	16	)	)	PUNCT
ejpam-5005	331	17	}	}	PUNCT
ejpam-5005	331	18	=	=	SYM
ejpam-5005	331	19	(	(	PUNCT
ejpam-5005	331	20	αλ1	αλ1	X
ejpam-5005	331	21	λ2	λ2	NOUN
ejpam-5005	331	22	−	−	PROPN
ejpam-5005	331	23	λ1	λ1	PROPN
ejpam-5005	331	24	)	)	PUNCT
ejpam-5005	331	25	(	(	PUNCT
ejpam-5005	331	26	e−λ1	e−λ1	ADP
ejpam-5005	331	27	t	t	NOUN
ejpam-5005	331	28	−	−	NOUN
ejpam-5005	331	29	e−λ2	e−λ2	NOUN
ejpam-5005	331	30	t	t	PROPN
ejpam-5005	331	31	)	)	PUNCT
ejpam-5005	331	32	.	.	PUNCT
ejpam-5005	332	1	(	(	PUNCT
ejpam-5005	332	2	51	51	NUM
ejpam-5005	332	3	)	)	PUNCT
ejpam-5005	332	4	c3(t	c3(t	PROPN
ejpam-5005	332	5	)	)	PUNCT
ejpam-5005	332	6	=	=	SYM
ejpam-5005	332	7	m−1	m−1	PROPN
ejpam-5005	332	8	{	{	PUNCT
ejpam-5005	332	9	αλ1λ2	αλ1λ2	PROPN
ejpam-5005	332	10	(	(	PUNCT
ejpam-5005	332	11	ζ	ζ	NOUN
ejpam-5005	332	12	(	(	PUNCT
ejpam-5005	332	13	ζ	ζ	NOUN
ejpam-5005	332	14	+	+	SYM
ejpam-5005	332	15	λ2	λ2	NOUN
ejpam-5005	332	16	)	)	PUNCT
ejpam-5005	332	17	(	(	PUNCT
ejpam-5005	332	18	ζ	ζ	NOUN
ejpam-5005	332	19	+	+	SYM
ejpam-5005	332	20	λ1	λ1	ADJ
ejpam-5005	332	21	)	)	PUNCT
ejpam-5005	332	22	)	)	PUNCT
ejpam-5005	332	23	}	}	PUNCT
ejpam-5005	333	1	=	=	SYM
ejpam-5005	333	2	α	α	PROPN
ejpam-5005	333	3	(	(	PUNCT
ejpam-5005	333	4	m−1{ζ	m−1{ζ	NOUN
ejpam-5005	333	5	}	}	PUNCT
ejpam-5005	333	6	−	−	PROPN
ejpam-5005	333	7	λ2	λ2	NOUN
ejpam-5005	333	8	λ2	λ2	PROPN
ejpam-5005	333	9	−	−	PROPN
ejpam-5005	333	10	λ1	λ1	ADJ
ejpam-5005	333	11	m−1	m−1	PROPN
ejpam-5005	333	12	{	{	PUNCT
ejpam-5005	333	13	λ2	λ2	NOUN
ejpam-5005	333	14	1	1	NUM
ejpam-5005	333	15	ζ	ζ	NOUN
ejpam-5005	333	16	+	+	X
ejpam-5005	333	17	λ1	λ1	ADJ
ejpam-5005	333	18	}	}	PUNCT
ejpam-5005	333	19	+	+	CCONJ
ejpam-5005	333	20	λ1	λ1	ADJ
ejpam-5005	333	21	λ2	λ2	PROPN
ejpam-5005	333	22	−	−	PROPN
ejpam-5005	333	23	λ1	λ1	ADJ
ejpam-5005	333	24	m−1	m−1	PROPN
ejpam-5005	333	25	{	{	PUNCT
ejpam-5005	333	26	λ2	λ2	NOUN
ejpam-5005	333	27	2	2	NUM
ejpam-5005	333	28	ζ	ζ	NOUN
ejpam-5005	333	29	+	+	NUM
ejpam-5005	333	30	λ2	λ2	NOUN
ejpam-5005	333	31	}	}	PUNCT
ejpam-5005	333	32	)	)	PUNCT
ejpam-5005	334	1	=	=	SYM
ejpam-5005	334	2	α	α	PROPN
ejpam-5005	334	3	(	(	PUNCT
ejpam-5005	334	4	1−	1−	NUM
ejpam-5005	334	5	(	(	PUNCT
ejpam-5005	334	6	λ2	λ2	NOUN
ejpam-5005	334	7	λ2	λ2	PROPN
ejpam-5005	334	8	−	−	PROPN
ejpam-5005	334	9	λ1	λ1	PROPN
ejpam-5005	334	10	)	)	PUNCT
ejpam-5005	334	11	e−λ1	e−λ1	PROPN
ejpam-5005	334	12	t	t	NOUN
ejpam-5005	334	13	+	+	CCONJ
ejpam-5005	334	14	(	(	PUNCT
ejpam-5005	334	15	λ1	λ1	ADJ
ejpam-5005	334	16	λ2	λ2	PROPN
ejpam-5005	334	17	−	−	PROPN
ejpam-5005	334	18	λ1	λ1	PROPN
ejpam-5005	334	19	)	)	PUNCT
ejpam-5005	334	20	e−λ2	e−λ2	NOUN
ejpam-5005	334	21	t	t	PROPN
ejpam-5005	334	22	)	)	PUNCT
ejpam-5005	334	23	.(52	.(52	PUNCT
ejpam-5005	334	24	)	)	PUNCT
ejpam-5005	335	1	the	the	DET
ejpam-5005	335	2	values	value	NOUN
ejpam-5005	335	3	of	of	ADP
ejpam-5005	335	4	concentration	concentration	NOUN
ejpam-5005	335	5	c1	c1	NOUN
ejpam-5005	335	6	,	,	PUNCT
ejpam-5005	335	7	c2	c2	PROPN
ejpam-5005	335	8	and	and	CCONJ
ejpam-5005	335	9	c3	c3	PROPN
ejpam-5005	335	10	conforming	conform	VERB
ejpam-5005	335	11	to	to	PART
ejpam-5005	335	12	diverse	diverse	ADJ
ejpam-5005	335	13	values	value	NOUN
ejpam-5005	335	14	of	of	ADP
ejpam-5005	335	15	time	time	NOUN
ejpam-5005	335	16	t	t	PROPN
ejpam-5005	335	17	and	and	CCONJ
ejpam-5005	335	18	for	for	ADP
ejpam-5005	335	19	varied	varied	ADJ
ejpam-5005	335	20	combinations	combination	NOUN
ejpam-5005	335	21	of	of	ADP
ejpam-5005	335	22	values	value	NOUN
ejpam-5005	335	23	of	of	ADP
ejpam-5005	335	24	α	α	NOUN
ejpam-5005	335	25	,	,	PUNCT
ejpam-5005	335	26	λ1	λ1	ADJ
ejpam-5005	335	27	and	and	CCONJ
ejpam-5005	335	28	λ2	λ2	NOUN
ejpam-5005	335	29	are	be	AUX
ejpam-5005	335	30	specified	specify	VERB
ejpam-5005	335	31	and	and	CCONJ
ejpam-5005	335	32	displayed	display	VERB
ejpam-5005	335	33	in	in	ADP
ejpam-5005	335	34	table	table	NOUN
ejpam-5005	335	35	2	2	NUM
ejpam-5005	335	36	,	,	PUNCT
ejpam-5005	335	37	and	and	CCONJ
ejpam-5005	335	38	figure	figure	VERB
ejpam-5005	335	39	1	1	NUM
ejpam-5005	335	40	presents	present	VERB
ejpam-5005	335	41	graphical	graphical	ADJ
ejpam-5005	335	42	representations	representation	NOUN
ejpam-5005	335	43	.	.	PUNCT
ejpam-5005	336	1	table	table	NOUN
ejpam-5005	336	2	2	2	NUM
ejpam-5005	336	3	shows	show	VERB
ejpam-5005	336	4	that	that	SCONJ
ejpam-5005	336	5	with	with	ADP
ejpam-5005	336	6	the	the	DET
ejpam-5005	336	7	increasing	increase	VERB
ejpam-5005	336	8	time	time	NOUN
ejpam-5005	336	9	t	t	NOUN
ejpam-5005	336	10	from	from	ADP
ejpam-5005	336	11	0	0	NUM
ejpam-5005	336	12	to	to	ADP
ejpam-5005	336	13	7	7	NUM
ejpam-5005	336	14	seconds	second	NOUN
ejpam-5005	336	15	,	,	PUNCT
ejpam-5005	336	16	the	the	DET
ejpam-5005	336	17	concentration	concentration	NOUN
ejpam-5005	336	18	c1(t	c1(t	NOUN
ejpam-5005	336	19	)	)	PUNCT
ejpam-5005	336	20	of	of	ADP
ejpam-5005	336	21	a	a	DET
ejpam-5005	336	22	chemical	chemical	ADJ
ejpam-5005	336	23	substance	substance	NOUN
ejpam-5005	336	24	x	x	PRON
ejpam-5005	336	25	declines	decline	VERB
ejpam-5005	336	26	for	for	ADP
ejpam-5005	336	27	any	any	DET
ejpam-5005	336	28	combinations	combination	NOUN
ejpam-5005	336	29	of	of	ADP
ejpam-5005	336	30	values	value	NOUN
ejpam-5005	336	31	of	of	ADP
ejpam-5005	336	32	α	α	PROPN
ejpam-5005	336	33	and	and	CCONJ
ejpam-5005	336	34	λ1	λ1	PROPN
ejpam-5005	336	35	namely	namely	ADV
ejpam-5005	336	36	d.	d.	PROPN
ejpam-5005	336	37	k.	k.	PROPN
ejpam-5005	336	38	almutairi	almutairi	PROPN
ejpam-5005	336	39	et	et	PROPN
ejpam-5005	336	40	al	al	PROPN
ejpam-5005	336	41	.	.	PUNCT
ejpam-5005	336	42	/	/	SYM
ejpam-5005	336	43	eur	eur	PROPN
ejpam-5005	336	44	.	.	PUNCT
ejpam-5005	337	1	j.	j.	PROPN
ejpam-5005	337	2	pure	pure	PROPN
ejpam-5005	337	3	appl	appl	PROPN
ejpam-5005	337	4	.	.	PROPN
ejpam-5005	337	5	math	math	PROPN
ejpam-5005	337	6	,	,	PUNCT
ejpam-5005	337	7	17	17	NUM
ejpam-5005	337	8	(	(	PUNCT
ejpam-5005	337	9	1	1	NUM
ejpam-5005	337	10	)	)	PUNCT
ejpam-5005	337	11	(	(	PUNCT
ejpam-5005	337	12	2024	2024	NUM
ejpam-5005	337	13	)	)	PUNCT
ejpam-5005	337	14	,	,	PUNCT
ejpam-5005	337	15	385	385	NUM
ejpam-5005	337	16	-	-	SYM
ejpam-5005	337	17	409	409	NUM
ejpam-5005	337	18	400	400	NUM
ejpam-5005	337	19			NOUN
ejpam-5005	337	20	α	α	NOUN
ejpam-5005	337	21	=	=	SYM
ejpam-5005	337	22	1	1	NUM
ejpam-5005	337	23	(	(	PUNCT
ejpam-5005	337	24	kg	kg	PROPN
ejpam-5005	337	25	/	/	SYM
ejpam-5005	337	26	m3	m3	PROPN
ejpam-5005	337	27	)	)	PUNCT
ejpam-5005	337	28	,	,	PUNCT
ejpam-5005	337	29	λ1	λ1	PROPN
ejpam-5005	337	30	=	=	SYM
ejpam-5005	337	31	1	1	NUM
ejpam-5005	337	32	(	(	PUNCT
ejpam-5005	337	33	sec−1	sec−1	PROPN
ejpam-5005	337	34	)	)	PUNCT
ejpam-5005	337	35	,	,	PUNCT
ejpam-5005	337	36	α	α	X
ejpam-5005	338	1	=	=	SYM
ejpam-5005	338	2	1	1	NUM
ejpam-5005	338	3	(	(	PUNCT
ejpam-5005	338	4	kg	kg	PROPN
ejpam-5005	338	5	/	/	SYM
ejpam-5005	338	6	m3	m3	PROPN
ejpam-5005	338	7	)	)	PUNCT
ejpam-5005	338	8	,	,	PUNCT
ejpam-5005	338	9	λ1	λ1	PROPN
ejpam-5005	338	10	=	=	SYM
ejpam-5005	338	11	1.2	1.2	NUM
ejpam-5005	338	12	(	(	PUNCT
ejpam-5005	338	13	sec−1	sec−1	PROPN
ejpam-5005	338	14	)	)	PUNCT
ejpam-5005	338	15	,	,	PUNCT
ejpam-5005	338	16	α	α	X
ejpam-5005	338	17	=	=	SYM
ejpam-5005	338	18	1	1	NUM
ejpam-5005	338	19	(	(	PUNCT
ejpam-5005	338	20	kg	kg	PROPN
ejpam-5005	338	21	/	/	SYM
ejpam-5005	338	22	m3	m3	PROPN
ejpam-5005	338	23	)	)	PUNCT
ejpam-5005	338	24	,	,	PUNCT
ejpam-5005	338	25	λ1	λ1	PROPN
ejpam-5005	338	26	=	=	SYM
ejpam-5005	338	27	1.3	1.3	NUM
ejpam-5005	338	28	(	(	PUNCT
ejpam-5005	338	29	sec−1	sec−1	PROPN
ejpam-5005	338	30	)	)	PUNCT
ejpam-5005	338	31	,	,	PUNCT
ejpam-5005	339	1			ADP
ejpam-5005	339	2	where	where	SCONJ
ejpam-5005	339	3	concentration	concentration	NOUN
ejpam-5005	339	4	c1(t	c1(t	NOUN
ejpam-5005	339	5	)	)	PUNCT
ejpam-5005	339	6	of	of	ADP
ejpam-5005	339	7	a	a	DET
ejpam-5005	339	8	chemical	chemical	ADJ
ejpam-5005	339	9	substance	substance	NOUN
ejpam-5005	339	10	x	x	PUNCT
ejpam-5005	339	11	at	at	ADP
ejpam-5005	339	12	time	time	NOUN
ejpam-5005	339	13	t	t	PROPN
ejpam-5005	339	14	(	(	PUNCT
ejpam-5005	339	15	kg	kg	PROPN
ejpam-5005	339	16	/	/	SYM
ejpam-5005	339	17	m3	m3	PROPN
ejpam-5005	339	18	)	)	PUNCT
ejpam-5005	339	19	.	.	PUNCT
ejpam-5005	340	1	table	table	NOUN
ejpam-5005	340	2	2	2	NUM
ejpam-5005	340	3	further	far	ADV
ejpam-5005	340	4	shows	show	VERB
ejpam-5005	340	5	that	that	SCONJ
ejpam-5005	340	6	as	as	ADP
ejpam-5005	340	7	the	the	DET
ejpam-5005	340	8	value	value	NOUN
ejpam-5005	340	9	of	of	ADP
ejpam-5005	340	10	rate	rate	NOUN
ejpam-5005	340	11	constant	constant	ADJ
ejpam-5005	340	12	λ1	λ1	ADJ
ejpam-5005	340	13	intensifies	intensifie	NOUN
ejpam-5005	340	14	from	from	ADP
ejpam-5005	340	15	1	1	NUM
ejpam-5005	340	16	to	to	ADP
ejpam-5005	340	17	1.2sec−1	1.2sec−1	PROPN
ejpam-5005	340	18	and	and	CCONJ
ejpam-5005	340	19	1	1	NUM
ejpam-5005	340	20	to	to	ADP
ejpam-5005	340	21	1.3sec−1	1.3sec−1	NUM
ejpam-5005	340	22	,	,	PUNCT
ejpam-5005	340	23	the	the	DET
ejpam-5005	340	24	value	value	NOUN
ejpam-5005	340	25	of	of	ADP
ejpam-5005	340	26	the	the	DET
ejpam-5005	340	27	concentration	concentration	NOUN
ejpam-5005	340	28	c1(t	c1(t	NOUN
ejpam-5005	340	29	)	)	PUNCT
ejpam-5005	340	30	of	of	ADP
ejpam-5005	340	31	a	a	DET
ejpam-5005	340	32	chemical	chemical	ADJ
ejpam-5005	340	33	substance	substance	NOUN
ejpam-5005	340	34	x	x	PRON
ejpam-5005	340	35	depletes	deplete	VERB
ejpam-5005	340	36	for	for	ADP
ejpam-5005	340	37	time	time	NOUN
ejpam-5005	340	38	values	value	NOUN
ejpam-5005	340	39	t	t	X
ejpam-5005	340	40	stretching	stretch	VERB
ejpam-5005	340	41	from	from	ADP
ejpam-5005	340	42	1	1	NUM
ejpam-5005	340	43	to	to	PART
ejpam-5005	340	44	5	5	NUM
ejpam-5005	340	45	seconds	second	NOUN
ejpam-5005	340	46	.	.	PUNCT
ejpam-5005	341	1	what	what	PRON
ejpam-5005	341	2	’s	’	VERB
ejpam-5005	341	3	more	more	ADJ
ejpam-5005	341	4	,	,	PUNCT
ejpam-5005	341	5	table	table	NOUN
ejpam-5005	341	6	2	2	NUM
ejpam-5005	341	7	determines	determine	VERB
ejpam-5005	341	8	that	that	SCONJ
ejpam-5005	341	9	for	for	ADP
ejpam-5005	341	10	high	high	ADJ
ejpam-5005	341	11	values	value	NOUN
ejpam-5005	341	12	of	of	ADP
ejpam-5005	341	13	time	time	NOUN
ejpam-5005	341	14	,	,	PUNCT
ejpam-5005	341	15	the	the	DET
ejpam-5005	341	16	concentration	concentration	NOUN
ejpam-5005	341	17	c1(t	c1(t	NOUN
ejpam-5005	341	18	)	)	PUNCT
ejpam-5005	341	19	of	of	ADP
ejpam-5005	341	20	a	a	DET
ejpam-5005	341	21	chemical	chemical	ADJ
ejpam-5005	341	22	substance	substance	NOUN
ejpam-5005	341	23	x	x	PUNCT
ejpam-5005	341	24	transforms	transform	VERB
ejpam-5005	341	25	into	into	ADP
ejpam-5005	341	26	0	0	NUM
ejpam-5005	341	27	(	(	PUNCT
ejpam-5005	341	28	kg	kg	PROPN
ejpam-5005	341	29	/	/	SYM
ejpam-5005	341	30	m3	m3	PROPN
ejpam-5005	341	31	)	)	PUNCT
ejpam-5005	341	32	.	.	PUNCT
ejpam-5005	342	1	the	the	DET
ejpam-5005	342	2	results	result	NOUN
ejpam-5005	342	3	exhibited	exhibit	VERB
ejpam-5005	342	4	in	in	ADP
ejpam-5005	342	5	table	table	NOUN
ejpam-5005	342	6	2	2	NUM
ejpam-5005	342	7	are	be	AUX
ejpam-5005	342	8	corroborated	corroborate	VERB
ejpam-5005	342	9	by	by	ADP
ejpam-5005	342	10	the	the	DET
ejpam-5005	342	11	diagram	diagram	NOUN
ejpam-5005	342	12	of	of	ADP
ejpam-5005	342	13	figure	figure	NOUN
ejpam-5005	342	14	1	1	NUM
ejpam-5005	342	15	.	.	PUNCT
ejpam-5005	342	16	table	table	NOUN
ejpam-5005	342	17	2	2	NUM
ejpam-5005	342	18	.	.	PUNCT
ejpam-5005	342	19	concentration	concentration	NOUN
ejpam-5005	342	20	c1(t	c1(t	PROPN
ejpam-5005	342	21	)	)	PUNCT
ejpam-5005	342	22	of	of	ADP
ejpam-5005	342	23	a	a	DET
ejpam-5005	342	24	chemical	chemical	ADJ
ejpam-5005	342	25	substance	substance	NOUN
ejpam-5005	342	26	x	x	PUNCT
ejpam-5005	342	27	at	at	ADP
ejpam-5005	342	28	time	time	NOUN
ejpam-5005	342	29	t	t	PROPN
ejpam-5005	342	30	of	of	ADP
ejpam-5005	342	31	different	different	ADJ
ejpam-5005	342	32	combinations	combination	NOUN
ejpam-5005	342	33	of	of	ADP
ejpam-5005	342	34	values	value	NOUN
ejpam-5005	342	35	α	α	NOUN
ejpam-5005	342	36	and	and	CCONJ
ejpam-5005	342	37	λ1	λ1	PROPN
ejpam-5005	342	38	.	.	PUNCT
ejpam-5005	343	1	t(sec	t(sec	PROPN
ejpam-5005	343	2	)	)	PUNCT
ejpam-5005	343	3	c1(t	c1(t	PROPN
ejpam-5005	343	4	)	)	PUNCT
ejpam-5005	343	5	(	(	PUNCT
ejpam-5005	343	6	kg	kg	NOUN
ejpam-5005	343	7	/	/	SYM
ejpam-5005	343	8	m3	m3	PROPN
ejpam-5005	343	9	)	)	PUNCT
ejpam-5005	344	1	α	α	NOUN
ejpam-5005	344	2	=	=	SYM
ejpam-5005	344	3	1	1	NUM
ejpam-5005	344	4	(	(	PUNCT
ejpam-5005	344	5	kg	kg	PROPN
ejpam-5005	344	6	/	/	SYM
ejpam-5005	344	7	m3	m3	PROPN
ejpam-5005	344	8	)	)	PUNCT
ejpam-5005	344	9	,	,	PUNCT
ejpam-5005	344	10	λ1	λ1	PROPN
ejpam-5005	344	11	=	=	SYM
ejpam-5005	344	12	1	1	NUM
ejpam-5005	344	13	(	(	PUNCT
ejpam-5005	344	14	sec−1	sec−1	NOUN
ejpam-5005	344	15	)	)	PUNCT
ejpam-5005	344	16	α	α	NOUN
ejpam-5005	345	1	=	=	SYM
ejpam-5005	345	2	1	1	NUM
ejpam-5005	345	3	(	(	PUNCT
ejpam-5005	345	4	kg	kg	PROPN
ejpam-5005	345	5	/	/	SYM
ejpam-5005	345	6	m3	m3	PROPN
ejpam-5005	345	7	)	)	PUNCT
ejpam-5005	345	8	,	,	PUNCT
ejpam-5005	345	9	λ1	λ1	PROPN
ejpam-5005	345	10	=	=	SYM
ejpam-5005	345	11	1.2	1.2	NUM
ejpam-5005	345	12	(	(	PUNCT
ejpam-5005	345	13	sec−1	sec−1	NOUN
ejpam-5005	345	14	)	)	PUNCT
ejpam-5005	345	15	α	α	NOUN
ejpam-5005	345	16	=	=	SYM
ejpam-5005	345	17	1	1	NUM
ejpam-5005	345	18	(	(	PUNCT
ejpam-5005	345	19	kg	kg	PROPN
ejpam-5005	345	20	/	/	SYM
ejpam-5005	345	21	m3	m3	PROPN
ejpam-5005	345	22	)	)	PUNCT
ejpam-5005	345	23	,	,	PUNCT
ejpam-5005	345	24	λ1	λ1	PROPN
ejpam-5005	345	25	=	=	SYM
ejpam-5005	345	26	1.3	1.3	NUM
ejpam-5005	345	27	(	(	PUNCT
ejpam-5005	345	28	sec−1	sec−1	PROPN
ejpam-5005	345	29	)	)	PUNCT
ejpam-5005	345	30	0	0	NUM
ejpam-5005	346	1	1.00	1.00	NUM
ejpam-5005	346	2	1.00	1.00	NUM
ejpam-5005	346	3	1.00	1.00	NUM
ejpam-5005	346	4	1.0	1.0	NUM
ejpam-5005	346	5	0.37	0.37	NUM
ejpam-5005	346	6	0.30	0.30	NUM
ejpam-5005	346	7	0.27	0.27	NUM
ejpam-5005	346	8	2.0	2.0	NUM
ejpam-5005	346	9	0.14	0.14	NUM
ejpam-5005	346	10	0.09	0.09	NUM
ejpam-5005	346	11	0.07	0.07	NUM
ejpam-5005	346	12	3.0	3.0	NUM
ejpam-5005	346	13	0.05	0.05	NUM
ejpam-5005	346	14	0.03	0.03	NUM
ejpam-5005	346	15	0.02	0.02	NUM
ejpam-5005	346	16	4.0	4.0	NUM
ejpam-5005	346	17	0.02	0.02	NUM
ejpam-5005	346	18	0.01	0.01	NUM
ejpam-5005	346	19	0.01	0.01	NUM
ejpam-5005	346	20	5.0	5.0	NUM
ejpam-5005	346	21	0.01	0.01	NUM
ejpam-5005	346	22	0.00	0.00	NUM
ejpam-5005	346	23	0.00	0.00	NUM
ejpam-5005	346	24	6.0	6.0	NUM
ejpam-5005	346	25	0.00	0.00	NUM
ejpam-5005	346	26	0.00	0.00	NUM
ejpam-5005	346	27	0.00	0.00	NUM
ejpam-5005	346	28	7.0	7.0	NUM
ejpam-5005	346	29	0.00	0.00	NUM
ejpam-5005	346	30	0.00	0.00	NUM
ejpam-5005	346	31	0.00	0.00	NUM
ejpam-5005	346	32	d.	d.	PROPN
ejpam-5005	346	33	k.	k.	PROPN
ejpam-5005	346	34	almutairi	almutairi	PROPN
ejpam-5005	346	35	et	et	PROPN
ejpam-5005	346	36	al	al	PROPN
ejpam-5005	346	37	.	.	PUNCT
ejpam-5005	346	38	/	/	SYM
ejpam-5005	346	39	eur	eur	PROPN
ejpam-5005	346	40	.	.	PUNCT
ejpam-5005	347	1	j.	j.	PROPN
ejpam-5005	347	2	pure	pure	PROPN
ejpam-5005	347	3	appl	appl	PROPN
ejpam-5005	347	4	.	.	PROPN
ejpam-5005	347	5	math	math	PROPN
ejpam-5005	347	6	,	,	PUNCT
ejpam-5005	347	7	17	17	NUM
ejpam-5005	347	8	(	(	PUNCT
ejpam-5005	347	9	1	1	NUM
ejpam-5005	347	10	)	)	PUNCT
ejpam-5005	347	11	(	(	PUNCT
ejpam-5005	347	12	2024	2024	NUM
ejpam-5005	347	13	)	)	PUNCT
ejpam-5005	347	14	,	,	PUNCT
ejpam-5005	347	15	385	385	NUM
ejpam-5005	347	16	-	-	SYM
ejpam-5005	347	17	409	409	NUM
ejpam-5005	347	18	401	401	NUM
ejpam-5005	347	19	figure	figure	NOUN
ejpam-5005	347	20	1	1	NUM
ejpam-5005	347	21	:	:	PUNCT
ejpam-5005	347	22	concentration	concentration	NOUN
ejpam-5005	347	23	c1(t	c1(t	NOUN
ejpam-5005	347	24	)	)	PUNCT
ejpam-5005	347	25	of	of	ADP
ejpam-5005	347	26	a	a	DET
ejpam-5005	347	27	chemical	chemical	ADJ
ejpam-5005	347	28	substance	substance	NOUN
ejpam-5005	347	29	x	x	PUNCT
ejpam-5005	347	30	at	at	ADP
ejpam-5005	347	31	time	time	NOUN
ejpam-5005	347	32	t	t	PROPN
ejpam-5005	347	33	of	of	ADP
ejpam-5005	347	34	different	different	ADJ
ejpam-5005	347	35	combinations	combination	NOUN
ejpam-5005	347	36	of	of	ADP
ejpam-5005	347	37	values	value	NOUN
ejpam-5005	347	38	α	α	NOUN
ejpam-5005	347	39	and	and	CCONJ
ejpam-5005	347	40	λ1	λ1	PROPN
ejpam-5005	347	41	.	.	PUNCT
ejpam-5005	347	42	table	table	NOUN
ejpam-5005	347	43	4	4	NUM
ejpam-5005	347	44	illustrates	illustrate	VERB
ejpam-5005	347	45	that	that	SCONJ
ejpam-5005	347	46	the	the	DET
ejpam-5005	347	47	concentration	concentration	NOUN
ejpam-5005	347	48	c2(t	c2(t	NOUN
ejpam-5005	347	49	)	)	PUNCT
ejpam-5005	347	50	of	of	ADP
ejpam-5005	347	51	a	a	DET
ejpam-5005	347	52	chemical	chemical	ADJ
ejpam-5005	347	53	substance	substance	NOUN
ejpam-5005	347	54	y	y	PROPN
ejpam-5005	347	55	decreases	decrease	VERB
ejpam-5005	347	56	as	as	ADP
ejpam-5005	347	57	time	time	NOUN
ejpam-5005	347	58	t	t	NOUN
ejpam-5005	347	59	increases	increase	VERB
ejpam-5005	347	60	from	from	ADP
ejpam-5005	347	61	0	0	NUM
ejpam-5005	347	62	to	to	PART
ejpam-5005	347	63	6	6	NUM
ejpam-5005	347	64	seconds	second	NOUN
ejpam-5005	347	65	for	for	ADP
ejpam-5005	347	66	every	every	DET
ejpam-5005	347	67	combination	combination	NOUN
ejpam-5005	347	68	of	of	ADP
ejpam-5005	347	69	values	value	NOUN
ejpam-5005	347	70	of	of	ADP
ejpam-5005	347	71	α	α	NOUN
ejpam-5005	347	72	,	,	PUNCT
ejpam-5005	347	73	λ1	λ1	ADJ
ejpam-5005	347	74	and	and	CCONJ
ejpam-5005	347	75	λ2.	λ2.	NOUN
ejpam-5005	347	76	α	α	NOUN
ejpam-5005	348	1	=	=	SYM
ejpam-5005	349	1	1	1	NUM
ejpam-5005	350	1	(	(	PUNCT
ejpam-5005	350	2	kg	kg	PROPN
ejpam-5005	350	3	/	/	SYM
ejpam-5005	350	4	m3	m3	PROPN
ejpam-5005	350	5	)	)	PUNCT
ejpam-5005	351	1	,	,	PUNCT
ejpam-5005	351	2	λ1	λ1	PROPN
ejpam-5005	351	3	=	=	SYM
ejpam-5005	351	4	1.0	1.0	NUM
ejpam-5005	351	5	(	(	PUNCT
ejpam-5005	351	6	sec−1	sec−1	PROPN
ejpam-5005	351	7	)	)	PUNCT
ejpam-5005	351	8	,	,	PUNCT
ejpam-5005	352	1	λ2	λ2	NOUN
ejpam-5005	352	2	=	=	SYM
ejpam-5005	352	3	0.5	0.5	NUM
ejpam-5005	352	4	(	(	PUNCT
ejpam-5005	352	5	sec−1	sec−1	PROPN
ejpam-5005	352	6	)	)	PUNCT
ejpam-5005	352	7	,	,	PUNCT
ejpam-5005	352	8	α	α	X
ejpam-5005	352	9	=	=	SYM
ejpam-5005	352	10	1	1	NUM
ejpam-5005	352	11	(	(	PUNCT
ejpam-5005	352	12	kg	kg	PROPN
ejpam-5005	352	13	/	/	SYM
ejpam-5005	352	14	m3	m3	PROPN
ejpam-5005	352	15	)	)	PUNCT
ejpam-5005	352	16	,	,	PUNCT
ejpam-5005	352	17	λ1	λ1	PROPN
ejpam-5005	352	18	=	=	SYM
ejpam-5005	352	19	1.0	1.0	NUM
ejpam-5005	352	20	(	(	PUNCT
ejpam-5005	352	21	sec−1	sec−1	PROPN
ejpam-5005	352	22	)	)	PUNCT
ejpam-5005	352	23	,	,	PUNCT
ejpam-5005	352	24	λ2	λ2	NOUN
ejpam-5005	352	25	=	=	SYM
ejpam-5005	352	26	1.1	1.1	NUM
ejpam-5005	352	27	(	(	PUNCT
ejpam-5005	352	28	sec−1	sec−1	PROPN
ejpam-5005	352	29	)	)	PUNCT
ejpam-5005	352	30	,	,	PUNCT
ejpam-5005	352	31	α	α	X
ejpam-5005	352	32	=	=	SYM
ejpam-5005	352	33	1	1	NUM
ejpam-5005	352	34	(	(	PUNCT
ejpam-5005	352	35	kg	kg	PROPN
ejpam-5005	352	36	/	/	SYM
ejpam-5005	352	37	m3	m3	PROPN
ejpam-5005	352	38	)	)	PUNCT
ejpam-5005	352	39	,	,	PUNCT
ejpam-5005	352	40	λ1	λ1	PROPN
ejpam-5005	352	41	=	=	SYM
ejpam-5005	352	42	1.0	1.0	NUM
ejpam-5005	352	43	(	(	PUNCT
ejpam-5005	352	44	sec−1	sec−1	PROPN
ejpam-5005	352	45	)	)	PUNCT
ejpam-5005	352	46	,	,	PUNCT
ejpam-5005	352	47	λ2	λ2	NOUN
ejpam-5005	352	48	=	=	SYM
ejpam-5005	352	49	1.4	1.4	NUM
ejpam-5005	352	50	(	(	PUNCT
ejpam-5005	352	51	sec−1	sec−1	PROPN
ejpam-5005	352	52	)	)	PUNCT
ejpam-5005	352	53	,	,	PUNCT
ejpam-5005	352	54	α	α	X
ejpam-5005	352	55	=	=	SYM
ejpam-5005	352	56	1	1	NUM
ejpam-5005	352	57	(	(	PUNCT
ejpam-5005	352	58	kg	kg	PROPN
ejpam-5005	352	59	/	/	SYM
ejpam-5005	352	60	m3	m3	PROPN
ejpam-5005	352	61	)	)	PUNCT
ejpam-5005	352	62	,	,	PUNCT
ejpam-5005	352	63	λ1	λ1	PROPN
ejpam-5005	352	64	=	=	SYM
ejpam-5005	352	65	1.2	1.2	NUM
ejpam-5005	352	66	(	(	PUNCT
ejpam-5005	352	67	sec−1	sec−1	PROPN
ejpam-5005	352	68	)	)	PUNCT
ejpam-5005	352	69	,	,	PUNCT
ejpam-5005	352	70	λ2	λ2	NOUN
ejpam-5005	352	71	=	=	SYM
ejpam-5005	352	72	0.5	0.5	NUM
ejpam-5005	352	73	(	(	PUNCT
ejpam-5005	352	74	sec−1	sec−1	PROPN
ejpam-5005	352	75	)	)	PUNCT
ejpam-5005	352	76	,	,	PUNCT
ejpam-5005	352	77	α	α	X
ejpam-5005	352	78	=	=	SYM
ejpam-5005	352	79	1	1	NUM
ejpam-5005	352	80	(	(	PUNCT
ejpam-5005	352	81	kg	kg	PROPN
ejpam-5005	352	82	/	/	SYM
ejpam-5005	352	83	m3	m3	PROPN
ejpam-5005	352	84	)	)	PUNCT
ejpam-5005	352	85	,	,	PUNCT
ejpam-5005	352	86	λ1	λ1	PROPN
ejpam-5005	352	87	=	=	SYM
ejpam-5005	352	88	1.2	1.2	NUM
ejpam-5005	352	89	(	(	PUNCT
ejpam-5005	352	90	sec−1	sec−1	PROPN
ejpam-5005	352	91	)	)	PUNCT
ejpam-5005	352	92	,	,	PUNCT
ejpam-5005	352	93	λ2	λ2	NOUN
ejpam-5005	352	94	=	=	SYM
ejpam-5005	352	95	1.1	1.1	NUM
ejpam-5005	352	96	(	(	PUNCT
ejpam-5005	352	97	sec−1	sec−1	PROPN
ejpam-5005	352	98	)	)	PUNCT
ejpam-5005	352	99	,	,	PUNCT
ejpam-5005	352	100	α	α	X
ejpam-5005	352	101	=	=	SYM
ejpam-5005	352	102	1	1	NUM
ejpam-5005	352	103	(	(	PUNCT
ejpam-5005	352	104	kg	kg	PROPN
ejpam-5005	352	105	/	/	SYM
ejpam-5005	352	106	m3	m3	PROPN
ejpam-5005	352	107	)	)	PUNCT
ejpam-5005	352	108	,	,	PUNCT
ejpam-5005	352	109	λ1	λ1	PROPN
ejpam-5005	352	110	=	=	SYM
ejpam-5005	352	111	1.2	1.2	NUM
ejpam-5005	352	112	(	(	PUNCT
ejpam-5005	352	113	sec−1	sec−1	PROPN
ejpam-5005	352	114	)	)	PUNCT
ejpam-5005	352	115	,	,	PUNCT
ejpam-5005	352	116	λ2	λ2	NOUN
ejpam-5005	352	117	=	=	SYM
ejpam-5005	352	118	1.4	1.4	NUM
ejpam-5005	352	119	(	(	PUNCT
ejpam-5005	352	120	sec−1	sec−1	PROPN
ejpam-5005	352	121	)	)	PUNCT
ejpam-5005	352	122	,	,	PUNCT
ejpam-5005	352	123	α	α	X
ejpam-5005	352	124	=	=	SYM
ejpam-5005	352	125	1	1	NUM
ejpam-5005	352	126	(	(	PUNCT
ejpam-5005	352	127	kg	kg	PROPN
ejpam-5005	352	128	/	/	SYM
ejpam-5005	352	129	m3	m3	PROPN
ejpam-5005	352	130	)	)	PUNCT
ejpam-5005	352	131	,	,	PUNCT
ejpam-5005	352	132	λ1	λ1	PROPN
ejpam-5005	352	133	=	=	SYM
ejpam-5005	352	134	1.3	1.3	NUM
ejpam-5005	352	135	(	(	PUNCT
ejpam-5005	352	136	sec−1	sec−1	PROPN
ejpam-5005	352	137	)	)	PUNCT
ejpam-5005	352	138	,	,	PUNCT
ejpam-5005	352	139	λ2	λ2	NOUN
ejpam-5005	352	140	=	=	SYM
ejpam-5005	352	141	0.5	0.5	NUM
ejpam-5005	352	142	(	(	PUNCT
ejpam-5005	352	143	sec−1	sec−1	PROPN
ejpam-5005	352	144	)	)	PUNCT
ejpam-5005	352	145	,	,	PUNCT
ejpam-5005	352	146	α	α	X
ejpam-5005	352	147	=	=	SYM
ejpam-5005	352	148	1	1	NUM
ejpam-5005	352	149	(	(	PUNCT
ejpam-5005	352	150	kg	kg	PROPN
ejpam-5005	352	151	/	/	SYM
ejpam-5005	352	152	m3	m3	PROPN
ejpam-5005	352	153	)	)	PUNCT
ejpam-5005	352	154	,	,	PUNCT
ejpam-5005	352	155	λ1	λ1	PROPN
ejpam-5005	352	156	=	=	SYM
ejpam-5005	352	157	1.3	1.3	NUM
ejpam-5005	352	158	(	(	PUNCT
ejpam-5005	352	159	sec−1	sec−1	PROPN
ejpam-5005	352	160	)	)	PUNCT
ejpam-5005	352	161	,	,	PUNCT
ejpam-5005	352	162	λ2	λ2	NOUN
ejpam-5005	352	163	=	=	SYM
ejpam-5005	352	164	1.1	1.1	NUM
ejpam-5005	352	165	(	(	PUNCT
ejpam-5005	352	166	sec−1	sec−1	PROPN
ejpam-5005	352	167	)	)	PUNCT
ejpam-5005	352	168	,	,	PUNCT
ejpam-5005	352	169	α	α	X
ejpam-5005	352	170	=	=	SYM
ejpam-5005	352	171	1	1	NUM
ejpam-5005	352	172	(	(	PUNCT
ejpam-5005	352	173	kg	kg	PROPN
ejpam-5005	352	174	/	/	SYM
ejpam-5005	352	175	m3	m3	PROPN
ejpam-5005	352	176	)	)	PUNCT
ejpam-5005	352	177	,	,	PUNCT
ejpam-5005	352	178	λ1	λ1	PROPN
ejpam-5005	352	179	=	=	SYM
ejpam-5005	352	180	1.3	1.3	NUM
ejpam-5005	352	181	(	(	PUNCT
ejpam-5005	352	182	sec−1	sec−1	PROPN
ejpam-5005	352	183	)	)	PUNCT
ejpam-5005	352	184	,	,	PUNCT
ejpam-5005	352	185	λ2	λ2	NOUN
ejpam-5005	352	186	=	=	SYM
ejpam-5005	352	187	1.4	1.4	NUM
ejpam-5005	352	188	(	(	PUNCT
ejpam-5005	352	189	sec−1	sec−1	PROPN
ejpam-5005	352	190	)	)	PUNCT
ejpam-5005	352	191	.	.	PUNCT
ejpam-5005	353	1			NOUN
ejpam-5005	353	2	from	from	ADP
ejpam-5005	353	3	the	the	DET
ejpam-5005	353	4	following	follow	VERB
ejpam-5005	353	5	table	table	NOUN
ejpam-5005	353	6	,	,	PUNCT
ejpam-5005	353	7	it	it	PRON
ejpam-5005	353	8	is	be	AUX
ejpam-5005	353	9	evident	evident	ADJ
ejpam-5005	353	10	that	that	SCONJ
ejpam-5005	353	11	when	when	SCONJ
ejpam-5005	353	12	the	the	DET
ejpam-5005	353	13	value	value	NOUN
ejpam-5005	353	14	of	of	ADP
ejpam-5005	353	15	rate	rate	NOUN
ejpam-5005	353	16	constant	constant	ADJ
ejpam-5005	353	17	λ1	λ1	PROPN
ejpam-5005	353	18	raises	raise	VERB
ejpam-5005	353	19	from	from	ADP
ejpam-5005	353	20	1	1	NUM
ejpam-5005	353	21	to	to	ADP
ejpam-5005	353	22	1.3sec−1	1.3sec−1	NUM
ejpam-5005	353	23	,	,	PUNCT
ejpam-5005	353	24	the	the	DET
ejpam-5005	353	25	value	value	NOUN
ejpam-5005	353	26	of	of	ADP
ejpam-5005	353	27	the	the	DET
ejpam-5005	353	28	concentration	concentration	NOUN
ejpam-5005	353	29	c2(t	c2(t	NOUN
ejpam-5005	353	30	)	)	PUNCT
ejpam-5005	353	31	of	of	ADP
ejpam-5005	353	32	a	a	DET
ejpam-5005	353	33	chemical	chemical	ADJ
ejpam-5005	353	34	substance	substance	NOUN
ejpam-5005	353	35	y	y	PROPN
ejpam-5005	353	36	raises	raise	VERB
ejpam-5005	353	37	initially	initially	ADV
ejpam-5005	353	38	,	,	PUNCT
ejpam-5005	353	39	and	and	CCONJ
ejpam-5005	353	40	diminishes	diminish	VERB
ejpam-5005	353	41	subsequently	subsequently	ADV
ejpam-5005	353	42	as	as	SCONJ
ejpam-5005	353	43	time	time	NOUN
ejpam-5005	353	44	t	t	NOUN
ejpam-5005	353	45	increases	increase	VERB
ejpam-5005	353	46	from	from	ADP
ejpam-5005	353	47	0	0	NUM
ejpam-5005	353	48	to	to	PART
ejpam-5005	353	49	7	7	NUM
ejpam-5005	353	50	seconds	second	NOUN
ejpam-5005	353	51	.	.	PUNCT
ejpam-5005	354	1	in	in	ADP
ejpam-5005	354	2	addition	addition	NOUN
ejpam-5005	354	3	,	,	PUNCT
ejpam-5005	354	4	this	this	DET
ejpam-5005	354	5	table	table	NOUN
ejpam-5005	354	6	manifests	manifest	VERB
ejpam-5005	354	7	that	that	SCONJ
ejpam-5005	354	8	since	since	SCONJ
ejpam-5005	354	9	the	the	DET
ejpam-5005	354	10	value	value	NOUN
ejpam-5005	354	11	of	of	ADP
ejpam-5005	354	12	rate	rate	NOUN
ejpam-5005	354	13	constant	constant	ADJ
ejpam-5005	354	14	λ2	λ2	NOUN
ejpam-5005	354	15	goes	go	VERB
ejpam-5005	354	16	from	from	ADP
ejpam-5005	354	17	0.5	0.5	NUM
ejpam-5005	354	18	to	to	ADP
ejpam-5005	354	19	1.4sec−1	1.4sec−1	NUM
ejpam-5005	354	20	,	,	PUNCT
ejpam-5005	354	21	the	the	DET
ejpam-5005	354	22	value	value	NOUN
ejpam-5005	354	23	of	of	ADP
ejpam-5005	354	24	a	a	DET
ejpam-5005	354	25	chemical	chemical	ADJ
ejpam-5005	354	26	substance	substance	NOUN
ejpam-5005	354	27	’s	’s	PART
ejpam-5005	354	28	concentration	concentration	NOUN
ejpam-5005	354	29	y	y	PROPN
ejpam-5005	354	30	drops	drop	VERB
ejpam-5005	354	31	for	for	ADP
ejpam-5005	354	32	all	all	DET
ejpam-5005	354	33	time	time	NOUN
ejpam-5005	354	34	t	t	NOUN
ejpam-5005	354	35	values	value	NOUN
ejpam-5005	354	36	.	.	PUNCT
ejpam-5005	355	1	moreover	moreover	ADV
ejpam-5005	355	2	,	,	PUNCT
ejpam-5005	355	3	table	table	NOUN
ejpam-5005	355	4	3	3	NUM
ejpam-5005	355	5	.	.	PUNCT
ejpam-5005	355	6	displays	display	VERB
ejpam-5005	355	7	that	that	PRON
ejpam-5005	355	8	for	for	ADP
ejpam-5005	355	9	high	high	ADJ
ejpam-5005	355	10	values	value	NOUN
ejpam-5005	355	11	of	of	ADP
ejpam-5005	355	12	time	time	NOUN
ejpam-5005	355	13	t	t	PROPN
ejpam-5005	355	14	,	,	PUNCT
ejpam-5005	355	15	the	the	DET
ejpam-5005	355	16	concentration	concentration	NOUN
ejpam-5005	355	17	c2(t	c2(t	NOUN
ejpam-5005	355	18	)	)	PUNCT
ejpam-5005	355	19	of	of	ADP
ejpam-5005	355	20	a	a	DET
ejpam-5005	355	21	chemical	chemical	PROPN
ejpam-5005	355	22	d.	d.	PROPN
ejpam-5005	355	23	k.	k.	PROPN
ejpam-5005	355	24	almutairi	almutairi	PROPN
ejpam-5005	355	25	et	et	PROPN
ejpam-5005	355	26	al	al	PROPN
ejpam-5005	355	27	.	.	PUNCT
ejpam-5005	355	28	/	/	SYM
ejpam-5005	355	29	eur	eur	PROPN
ejpam-5005	355	30	.	.	PUNCT
ejpam-5005	356	1	j.	j.	PROPN
ejpam-5005	356	2	pure	pure	PROPN
ejpam-5005	356	3	appl	appl	PROPN
ejpam-5005	356	4	.	.	PROPN
ejpam-5005	356	5	math	math	PROPN
ejpam-5005	356	6	,	,	PUNCT
ejpam-5005	356	7	17	17	NUM
ejpam-5005	356	8	(	(	PUNCT
ejpam-5005	356	9	1	1	NUM
ejpam-5005	356	10	)	)	PUNCT
ejpam-5005	356	11	(	(	PUNCT
ejpam-5005	356	12	2024	2024	NUM
ejpam-5005	356	13	)	)	PUNCT
ejpam-5005	356	14	,	,	PUNCT
ejpam-5005	356	15	385	385	NUM
ejpam-5005	356	16	-	-	SYM
ejpam-5005	356	17	409	409	NUM
ejpam-5005	356	18	402	402	NUM
ejpam-5005	356	19	substance	substance	NOUN
ejpam-5005	356	20	y	y	PROPN
ejpam-5005	356	21	becomes	become	VERB
ejpam-5005	356	22	0	0	NUM
ejpam-5005	356	23	kg	kg	NOUN
ejpam-5005	356	24	/	/	SYM
ejpam-5005	356	25	m3	m3	PROPN
ejpam-5005	356	26	.	.	PUNCT
ejpam-5005	357	1	the	the	DET
ejpam-5005	357	2	diagram	diagram	NOUN
ejpam-5005	357	3	of	of	ADP
ejpam-5005	357	4	figure	figure	NOUN
ejpam-5005	357	5	2	2	NUM
ejpam-5005	357	6	depicts	depict	VERB
ejpam-5005	357	7	the	the	DET
ejpam-5005	357	8	similar	similar	ADJ
ejpam-5005	357	9	observations	observation	NOUN
ejpam-5005	357	10	as	as	ADP
ejpam-5005	357	11	the	the	DET
ejpam-5005	357	12	table	table	NOUN
ejpam-5005	357	13	3	3	NUM
ejpam-5005	357	14	.	.	PUNCT
ejpam-5005	357	15	table	table	NOUN
ejpam-5005	357	16	3	3	NUM
ejpam-5005	357	17	.	.	PUNCT
ejpam-5005	358	1	concentration	concentration	NOUN
ejpam-5005	358	2	c2(t	c2(t	PROPN
ejpam-5005	358	3	)	)	PUNCT
ejpam-5005	358	4	of	of	ADP
ejpam-5005	358	5	a	a	DET
ejpam-5005	358	6	chemical	chemical	ADJ
ejpam-5005	358	7	substance	substance	NOUN
ejpam-5005	358	8	y	y	PROPN
ejpam-5005	358	9	at	at	ADP
ejpam-5005	358	10	time	time	NOUN
ejpam-5005	358	11	t	t	PROPN
ejpam-5005	358	12	of	of	ADP
ejpam-5005	358	13	different	different	ADJ
ejpam-5005	358	14	combinations	combination	NOUN
ejpam-5005	358	15	of	of	ADP
ejpam-5005	358	16	values	value	NOUN
ejpam-5005	358	17	α	α	NOUN
ejpam-5005	358	18	,	,	PUNCT
ejpam-5005	358	19	λ1	λ1	ADJ
ejpam-5005	358	20	and	and	CCONJ
ejpam-5005	358	21	λ2	λ2	NOUN
ejpam-5005	358	22	.	.	PUNCT
ejpam-5005	359	1	t(sec	t(sec	PROPN
ejpam-5005	359	2	)	)	PUNCT
ejpam-5005	360	1	c2(t	c2(t	PROPN
ejpam-5005	360	2	)	)	PUNCT
ejpam-5005	360	3	(	(	PUNCT
ejpam-5005	360	4	kg	kg	X
ejpam-5005	360	5	/	/	SYM
ejpam-5005	360	6	m3	m3	PROPN
ejpam-5005	360	7	)	)	PUNCT
ejpam-5005	361	1	α	α	NOUN
ejpam-5005	361	2	=	=	SYM
ejpam-5005	361	3	1	1	NUM
ejpam-5005	361	4	(	(	PUNCT
ejpam-5005	361	5	kg	kg	PROPN
ejpam-5005	361	6	/	/	SYM
ejpam-5005	361	7	m3	m3	PROPN
ejpam-5005	361	8	)	)	PUNCT
ejpam-5005	361	9	,	,	PUNCT
ejpam-5005	361	10	λ1	λ1	PROPN
ejpam-5005	361	11	=	=	SYM
ejpam-5005	361	12	1	1	NUM
ejpam-5005	361	13	(	(	PUNCT
ejpam-5005	361	14	sec−1	sec−1	NOUN
ejpam-5005	361	15	)	)	PUNCT
ejpam-5005	361	16	α	α	NOUN
ejpam-5005	362	1	=	=	SYM
ejpam-5005	362	2	1	1	NUM
ejpam-5005	362	3	(	(	PUNCT
ejpam-5005	362	4	kg	kg	PROPN
ejpam-5005	362	5	/	/	SYM
ejpam-5005	362	6	m3	m3	PROPN
ejpam-5005	362	7	)	)	PUNCT
ejpam-5005	362	8	,	,	PUNCT
ejpam-5005	362	9	λ1	λ1	PROPN
ejpam-5005	362	10	=	=	SYM
ejpam-5005	362	11	1.2	1.2	NUM
ejpam-5005	362	12	(	(	PUNCT
ejpam-5005	362	13	sec−1	sec−1	NOUN
ejpam-5005	362	14	)	)	PUNCT
ejpam-5005	362	15	α	α	NOUN
ejpam-5005	362	16	=	=	SYM
ejpam-5005	362	17	1	1	NUM
ejpam-5005	362	18	(	(	PUNCT
ejpam-5005	362	19	kg	kg	PROPN
ejpam-5005	362	20	/	/	SYM
ejpam-5005	362	21	m3	m3	PROPN
ejpam-5005	362	22	)	)	PUNCT
ejpam-5005	362	23	,	,	PUNCT
ejpam-5005	362	24	λ1	λ1	PROPN
ejpam-5005	362	25	=	=	SYM
ejpam-5005	362	26	1.3	1.3	NUM
ejpam-5005	362	27	(	(	PUNCT
ejpam-5005	362	28	sec−1	sec−1	NOUN
ejpam-5005	362	29	)	)	PUNCT
ejpam-5005	362	30	λ2	λ2	NOUN
ejpam-5005	362	31	=	=	SYM
ejpam-5005	362	32	0.5	0.5	NUM
ejpam-5005	362	33	(	(	PUNCT
ejpam-5005	362	34	sec−1	sec−1	NOUN
ejpam-5005	362	35	)	)	PUNCT
ejpam-5005	362	36	λ2	λ2	NOUN
ejpam-5005	362	37	=	=	SYM
ejpam-5005	362	38	1.1	1.1	NUM
ejpam-5005	362	39	(	(	PUNCT
ejpam-5005	362	40	sec−1	sec−1	NOUN
ejpam-5005	362	41	)	)	PUNCT
ejpam-5005	362	42	λ2	λ2	NOUN
ejpam-5005	362	43	=	=	SYM
ejpam-5005	362	44	1.4	1.4	NUM
ejpam-5005	362	45	(	(	PUNCT
ejpam-5005	362	46	sec−1	sec−1	NOUN
ejpam-5005	362	47	)	)	PUNCT
ejpam-5005	362	48	λ2	λ2	NOUN
ejpam-5005	362	49	=	=	SYM
ejpam-5005	362	50	0.5	0.5	NUM
ejpam-5005	362	51	(	(	PUNCT
ejpam-5005	362	52	sec−1	sec−1	NOUN
ejpam-5005	362	53	)	)	PUNCT
ejpam-5005	362	54	λ2	λ2	NOUN
ejpam-5005	362	55	=	=	SYM
ejpam-5005	362	56	1.1	1.1	NUM
ejpam-5005	362	57	(	(	PUNCT
ejpam-5005	362	58	sec−1	sec−1	NOUN
ejpam-5005	362	59	)	)	PUNCT
ejpam-5005	362	60	λ2	λ2	NOUN
ejpam-5005	362	61	=	=	SYM
ejpam-5005	362	62	1.4	1.4	NUM
ejpam-5005	362	63	(	(	PUNCT
ejpam-5005	362	64	sec−1	sec−1	NOUN
ejpam-5005	362	65	)	)	PUNCT
ejpam-5005	362	66	λ2	λ2	NOUN
ejpam-5005	362	67	=	=	SYM
ejpam-5005	362	68	0.5	0.5	NUM
ejpam-5005	362	69	(	(	PUNCT
ejpam-5005	362	70	sec−1	sec−1	NOUN
ejpam-5005	362	71	)	)	PUNCT
ejpam-5005	362	72	λ2	λ2	NOUN
ejpam-5005	362	73	=	=	SYM
ejpam-5005	362	74	1.1	1.1	NUM
ejpam-5005	362	75	(	(	PUNCT
ejpam-5005	362	76	sec−1	sec−1	PROPN
ejpam-5005	362	77	)	)	PUNCT
ejpam-5005	362	78	0	0	NUM
ejpam-5005	363	1	0.0	0.0	NUM
ejpam-5005	363	2	0.0	0.0	NUM
ejpam-5005	363	3	0.00	0.00	NUM
ejpam-5005	363	4	0.00	0.00	NUM
ejpam-5005	363	5	0.00	0.00	NUM
ejpam-5005	363	6	0.00	0.00	NUM
ejpam-5005	363	7	0.00	0.00	NUM
ejpam-5005	363	8	0.00	0.00	NUM
ejpam-5005	363	9	1.0	1.0	NUM
ejpam-5005	363	10	0.48	0.48	NUM
ejpam-5005	363	11	0.35	0.35	NUM
ejpam-5005	363	12	0.29	0.29	NUM
ejpam-5005	363	13	0.52	0.52	NUM
ejpam-5005	363	14	0.38	0.38	NUM
ejpam-5005	363	15	0.33	0.33	NUM
ejpam-5005	363	16	0.54	0.54	NUM
ejpam-5005	363	17	0.39	0.39	NUM
ejpam-5005	363	18	2.0	2.0	NUM
ejpam-5005	363	19	0.47	0.47	NUM
ejpam-5005	363	20	0.25	0.25	NUM
ejpam-5005	363	21	0.17	0.17	NUM
ejpam-5005	363	22	0.48	0.48	NUM
ejpam-5005	363	23	0.24	0.24	NUM
ejpam-5005	363	24	0.18	0.18	NUM
ejpam-5005	363	25	0.48	0.48	NUM
ejpam-5005	363	26	0.24	0.24	NUM
ejpam-5005	363	27	3.0	3.0	NUM
ejpam-5005	363	28	0.35	0.35	NUM
ejpam-5005	363	29	0.13	0.13	NUM
ejpam-5005	363	30	0.08	0.08	NUM
ejpam-5005	363	31	0.34	0.34	NUM
ejpam-5005	363	32	0.11	0.11	NUM
ejpam-5005	363	33	0.07	0.07	NUM
ejpam-5005	363	34	0.33	0.33	NUM
ejpam-5005	363	35	0.11	0.11	NUM
ejpam-5005	363	36	4.0	4.0	NUM
ejpam-5005	363	37	0.23	0.23	NUM
ejpam-5005	363	38	0.06	0.06	NUM
ejpam-5005	363	39	0.03	0.03	NUM
ejpam-5005	363	40	0.22	0.22	NUM
ejpam-5005	363	41	0.05	0.05	NUM
ejpam-5005	363	42	0.03	0.03	NUM
ejpam-5005	363	43	0.21	0.21	NUM
ejpam-5005	363	44	0.04	0.04	NUM
ejpam-5005	363	45	5.0	5.0	NUM
ejpam-5005	363	46	0.15	0.15	NUM
ejpam-5005	363	47	0.03	0.03	NUM
ejpam-5005	363	48	0.01	0.01	NUM
ejpam-5005	363	49	0.14	0.14	NUM
ejpam-5005	363	50	0.02	0.02	NUM
ejpam-5005	363	51	0.01	0.01	NUM
ejpam-5005	363	52	0.13	0.13	NUM
ejpam-5005	363	53	0.02	0.02	NUM
ejpam-5005	363	54	6.0	6.0	NUM
ejpam-5005	363	55	0.09	0.09	NUM
ejpam-5005	363	56	0.01	0.01	NUM
ejpam-5005	363	57	0.00	0.00	NUM
ejpam-5005	363	58	0.08	0.08	NUM
ejpam-5005	363	59	0.01	0.01	NUM
ejpam-5005	363	60	0.00	0.00	NUM
ejpam-5005	363	61	0.08	0.08	NUM
ejpam-5005	363	62	0.01	0.01	NUM
ejpam-5005	363	63	7.0	7.0	NUM
ejpam-5005	363	64	0.06	0.06	NUM
ejpam-5005	363	65	0.00	0.00	NUM
ejpam-5005	363	66	0.00	0.00	NUM
ejpam-5005	363	67	0.05	0.05	NUM
ejpam-5005	363	68	0.00	0.00	NUM
ejpam-5005	363	69	0.00	0.00	NUM
ejpam-5005	363	70	0.05	0.05	NUM
ejpam-5005	363	71	0.00	0.00	NUM
ejpam-5005	363	72	figure	figure	NOUN
ejpam-5005	363	73	2	2	NUM
ejpam-5005	363	74	:	:	PUNCT
ejpam-5005	363	75	concentration	concentration	NOUN
ejpam-5005	363	76	c2(t	c2(t	PROPN
ejpam-5005	363	77	)	)	PUNCT
ejpam-5005	363	78	of	of	ADP
ejpam-5005	363	79	a	a	DET
ejpam-5005	363	80	chemical	chemical	ADJ
ejpam-5005	363	81	substance	substance	NOUN
ejpam-5005	363	82	y	y	PROPN
ejpam-5005	363	83	at	at	ADP
ejpam-5005	363	84	time	time	NOUN
ejpam-5005	363	85	t	t	PROPN
ejpam-5005	363	86	of	of	ADP
ejpam-5005	363	87	different	different	ADJ
ejpam-5005	363	88	combinations	combination	NOUN
ejpam-5005	363	89	of	of	ADP
ejpam-5005	363	90	values	value	NOUN
ejpam-5005	363	91	α	α	NOUN
ejpam-5005	363	92	,	,	PUNCT
ejpam-5005	363	93	λ1	λ1	ADJ
ejpam-5005	363	94	and	and	CCONJ
ejpam-5005	363	95	λ2	λ2	NOUN
ejpam-5005	363	96	.	.	PUNCT
ejpam-5005	363	97	table	table	NOUN
ejpam-5005	363	98	4	4	NUM
ejpam-5005	363	99	reveals	reveal	VERB
ejpam-5005	363	100	how	how	SCONJ
ejpam-5005	363	101	the	the	DET
ejpam-5005	363	102	concentration	concentration	NOUN
ejpam-5005	363	103	c3(t	c3(t	PROPN
ejpam-5005	363	104	)	)	PUNCT
ejpam-5005	363	105	of	of	ADP
ejpam-5005	363	106	a	a	DET
ejpam-5005	363	107	chemical	chemical	ADJ
ejpam-5005	363	108	substance	substance	NOUN
ejpam-5005	363	109	z	z	NOUN
ejpam-5005	363	110	elevates	elevate	VERB
ejpam-5005	363	111	as	as	SCONJ
ejpam-5005	363	112	time	time	NOUN
ejpam-5005	363	113	elevates	elevate	VERB
ejpam-5005	363	114	from	from	ADP
ejpam-5005	363	115	0	0	NUM
ejpam-5005	363	116	to	to	PART
ejpam-5005	363	117	6	6	NUM
ejpam-5005	363	118	seconds	second	NOUN
ejpam-5005	363	119	for	for	ADP
ejpam-5005	363	120	all	all	DET
ejpam-5005	363	121	combinations	combination	NOUN
ejpam-5005	363	122	of	of	ADP
ejpam-5005	363	123	values	value	NOUN
ejpam-5005	363	124	of	of	ADP
ejpam-5005	363	125	α	α	NOUN
ejpam-5005	363	126	,	,	PUNCT
ejpam-5005	363	127	λ1	λ1	ADJ
ejpam-5005	363	128	and	and	CCONJ
ejpam-5005	363	129	λ2	λ2	PROPN
ejpam-5005	363	130	,	,	PUNCT
ejpam-5005	364	1	namly	namly	PROPN
ejpam-5005	364	2	d.	d.	PROPN
ejpam-5005	364	3	k.	k.	PROPN
ejpam-5005	364	4	almutairi	almutairi	PROPN
ejpam-5005	364	5	et	et	PROPN
ejpam-5005	364	6	al	al	PROPN
ejpam-5005	364	7	.	.	PUNCT
ejpam-5005	364	8	/	/	SYM
ejpam-5005	364	9	eur	eur	PROPN
ejpam-5005	364	10	.	.	PUNCT
ejpam-5005	365	1	j.	j.	PROPN
ejpam-5005	365	2	pure	pure	PROPN
ejpam-5005	365	3	appl	appl	PROPN
ejpam-5005	365	4	.	.	PROPN
ejpam-5005	365	5	math	math	PROPN
ejpam-5005	365	6	,	,	PUNCT
ejpam-5005	365	7	17	17	NUM
ejpam-5005	365	8	(	(	PUNCT
ejpam-5005	365	9	1	1	NUM
ejpam-5005	365	10	)	)	PUNCT
ejpam-5005	365	11	(	(	PUNCT
ejpam-5005	365	12	2024	2024	NUM
ejpam-5005	365	13	)	)	PUNCT
ejpam-5005	365	14	,	,	PUNCT
ejpam-5005	365	15	385	385	NUM
ejpam-5005	365	16	-	-	SYM
ejpam-5005	365	17	409	409	NUM
ejpam-5005	365	18	403	403	NUM
ejpam-5005	365	19			NOUN
ejpam-5005	365	20	α	α	NOUN
ejpam-5005	365	21	=	=	SYM
ejpam-5005	365	22	1	1	NUM
ejpam-5005	365	23	(	(	PUNCT
ejpam-5005	365	24	kg	kg	PROPN
ejpam-5005	365	25	/	/	SYM
ejpam-5005	365	26	m3	m3	PROPN
ejpam-5005	365	27	)	)	PUNCT
ejpam-5005	365	28	,	,	PUNCT
ejpam-5005	365	29	λ1	λ1	PROPN
ejpam-5005	365	30	=	=	SYM
ejpam-5005	365	31	1.0	1.0	NUM
ejpam-5005	365	32	(	(	PUNCT
ejpam-5005	365	33	sec−1	sec−1	PROPN
ejpam-5005	365	34	)	)	PUNCT
ejpam-5005	365	35	,	,	PUNCT
ejpam-5005	366	1	λ2	λ2	NOUN
ejpam-5005	366	2	=	=	SYM
ejpam-5005	366	3	0.5	0.5	NUM
ejpam-5005	366	4	(	(	PUNCT
ejpam-5005	366	5	sec−1	sec−1	PROPN
ejpam-5005	366	6	)	)	PUNCT
ejpam-5005	366	7	,	,	PUNCT
ejpam-5005	366	8	α	α	X
ejpam-5005	366	9	=	=	SYM
ejpam-5005	366	10	1	1	NUM
ejpam-5005	366	11	(	(	PUNCT
ejpam-5005	366	12	kg	kg	PROPN
ejpam-5005	366	13	/	/	SYM
ejpam-5005	366	14	m3	m3	PROPN
ejpam-5005	366	15	)	)	PUNCT
ejpam-5005	366	16	,	,	PUNCT
ejpam-5005	366	17	λ1	λ1	PROPN
ejpam-5005	366	18	=	=	SYM
ejpam-5005	366	19	1.0	1.0	NUM
ejpam-5005	366	20	(	(	PUNCT
ejpam-5005	366	21	sec−1	sec−1	PROPN
ejpam-5005	366	22	)	)	PUNCT
ejpam-5005	366	23	,	,	PUNCT
ejpam-5005	366	24	λ2	λ2	NOUN
ejpam-5005	366	25	=	=	SYM
ejpam-5005	366	26	1.1	1.1	NUM
ejpam-5005	366	27	(	(	PUNCT
ejpam-5005	366	28	sec−1	sec−1	PROPN
ejpam-5005	366	29	)	)	PUNCT
ejpam-5005	366	30	,	,	PUNCT
ejpam-5005	366	31	α	α	X
ejpam-5005	366	32	=	=	SYM
ejpam-5005	366	33	1	1	NUM
ejpam-5005	366	34	(	(	PUNCT
ejpam-5005	366	35	kg	kg	PROPN
ejpam-5005	366	36	/	/	SYM
ejpam-5005	366	37	m3	m3	PROPN
ejpam-5005	366	38	)	)	PUNCT
ejpam-5005	366	39	,	,	PUNCT
ejpam-5005	366	40	λ1	λ1	PROPN
ejpam-5005	366	41	=	=	SYM
ejpam-5005	366	42	1.0	1.0	NUM
ejpam-5005	366	43	(	(	PUNCT
ejpam-5005	366	44	sec−1	sec−1	PROPN
ejpam-5005	366	45	)	)	PUNCT
ejpam-5005	366	46	,	,	PUNCT
ejpam-5005	366	47	λ2	λ2	NOUN
ejpam-5005	366	48	=	=	SYM
ejpam-5005	366	49	1.4	1.4	NUM
ejpam-5005	366	50	(	(	PUNCT
ejpam-5005	366	51	sec−1	sec−1	PROPN
ejpam-5005	366	52	)	)	PUNCT
ejpam-5005	366	53	,	,	PUNCT
ejpam-5005	366	54	α	α	X
ejpam-5005	366	55	=	=	SYM
ejpam-5005	366	56	1	1	NUM
ejpam-5005	366	57	(	(	PUNCT
ejpam-5005	366	58	kg	kg	PROPN
ejpam-5005	366	59	/	/	SYM
ejpam-5005	366	60	m3	m3	PROPN
ejpam-5005	366	61	)	)	PUNCT
ejpam-5005	366	62	,	,	PUNCT
ejpam-5005	366	63	λ1	λ1	PROPN
ejpam-5005	366	64	=	=	SYM
ejpam-5005	366	65	1.2	1.2	NUM
ejpam-5005	366	66	(	(	PUNCT
ejpam-5005	366	67	sec−1	sec−1	PROPN
ejpam-5005	366	68	)	)	PUNCT
ejpam-5005	366	69	,	,	PUNCT
ejpam-5005	366	70	λ2	λ2	NOUN
ejpam-5005	366	71	=	=	SYM
ejpam-5005	366	72	0.5	0.5	NUM
ejpam-5005	366	73	(	(	PUNCT
ejpam-5005	366	74	sec−1	sec−1	PROPN
ejpam-5005	366	75	)	)	PUNCT
ejpam-5005	366	76	,	,	PUNCT
ejpam-5005	366	77	α	α	X
ejpam-5005	366	78	=	=	SYM
ejpam-5005	366	79	1	1	NUM
ejpam-5005	366	80	(	(	PUNCT
ejpam-5005	366	81	kg	kg	PROPN
ejpam-5005	366	82	/	/	SYM
ejpam-5005	366	83	m3	m3	PROPN
ejpam-5005	366	84	)	)	PUNCT
ejpam-5005	366	85	,	,	PUNCT
ejpam-5005	366	86	λ1	λ1	PROPN
ejpam-5005	366	87	=	=	SYM
ejpam-5005	366	88	1.2	1.2	NUM
ejpam-5005	366	89	(	(	PUNCT
ejpam-5005	366	90	sec−1	sec−1	PROPN
ejpam-5005	366	91	)	)	PUNCT
ejpam-5005	366	92	,	,	PUNCT
ejpam-5005	366	93	λ2	λ2	NOUN
ejpam-5005	366	94	=	=	SYM
ejpam-5005	366	95	1.1	1.1	NUM
ejpam-5005	366	96	(	(	PUNCT
ejpam-5005	366	97	sec−1	sec−1	PROPN
ejpam-5005	366	98	)	)	PUNCT
ejpam-5005	366	99	,	,	PUNCT
ejpam-5005	366	100	α	α	X
ejpam-5005	366	101	=	=	SYM
ejpam-5005	366	102	1	1	NUM
ejpam-5005	366	103	(	(	PUNCT
ejpam-5005	366	104	kg	kg	PROPN
ejpam-5005	366	105	/	/	SYM
ejpam-5005	366	106	m3	m3	PROPN
ejpam-5005	366	107	)	)	PUNCT
ejpam-5005	366	108	,	,	PUNCT
ejpam-5005	366	109	λ1	λ1	PROPN
ejpam-5005	366	110	=	=	SYM
ejpam-5005	366	111	1.2	1.2	NUM
ejpam-5005	366	112	(	(	PUNCT
ejpam-5005	366	113	sec−1	sec−1	PROPN
ejpam-5005	366	114	)	)	PUNCT
ejpam-5005	366	115	,	,	PUNCT
ejpam-5005	366	116	λ2	λ2	NOUN
ejpam-5005	366	117	=	=	SYM
ejpam-5005	366	118	1.4	1.4	NUM
ejpam-5005	366	119	(	(	PUNCT
ejpam-5005	366	120	sec−1	sec−1	PROPN
ejpam-5005	366	121	)	)	PUNCT
ejpam-5005	366	122	,	,	PUNCT
ejpam-5005	366	123	α	α	X
ejpam-5005	366	124	=	=	SYM
ejpam-5005	366	125	1	1	NUM
ejpam-5005	366	126	(	(	PUNCT
ejpam-5005	366	127	kg	kg	PROPN
ejpam-5005	366	128	/	/	SYM
ejpam-5005	366	129	m3	m3	PROPN
ejpam-5005	366	130	)	)	PUNCT
ejpam-5005	366	131	,	,	PUNCT
ejpam-5005	366	132	λ1	λ1	PROPN
ejpam-5005	366	133	=	=	SYM
ejpam-5005	366	134	1.3	1.3	NUM
ejpam-5005	366	135	(	(	PUNCT
ejpam-5005	366	136	sec−1	sec−1	PROPN
ejpam-5005	366	137	)	)	PUNCT
ejpam-5005	366	138	,	,	PUNCT
ejpam-5005	366	139	λ2	λ2	NOUN
ejpam-5005	366	140	=	=	SYM
ejpam-5005	366	141	0.5	0.5	NUM
ejpam-5005	366	142	(	(	PUNCT
ejpam-5005	366	143	sec−1	sec−1	PROPN
ejpam-5005	366	144	)	)	PUNCT
ejpam-5005	366	145	,	,	PUNCT
ejpam-5005	366	146	α	α	X
ejpam-5005	366	147	=	=	SYM
ejpam-5005	366	148	1	1	NUM
ejpam-5005	366	149	(	(	PUNCT
ejpam-5005	366	150	kg	kg	PROPN
ejpam-5005	366	151	/	/	SYM
ejpam-5005	366	152	m3	m3	PROPN
ejpam-5005	366	153	)	)	PUNCT
ejpam-5005	366	154	,	,	PUNCT
ejpam-5005	366	155	λ1	λ1	PROPN
ejpam-5005	366	156	=	=	SYM
ejpam-5005	366	157	1.3	1.3	NUM
ejpam-5005	366	158	(	(	PUNCT
ejpam-5005	366	159	sec−1	sec−1	PROPN
ejpam-5005	366	160	)	)	PUNCT
ejpam-5005	366	161	,	,	PUNCT
ejpam-5005	366	162	λ2	λ2	NOUN
ejpam-5005	366	163	=	=	SYM
ejpam-5005	366	164	1.1	1.1	NUM
ejpam-5005	366	165	(	(	PUNCT
ejpam-5005	366	166	sec−1	sec−1	PROPN
ejpam-5005	366	167	)	)	PUNCT
ejpam-5005	366	168	,	,	PUNCT
ejpam-5005	366	169	α	α	X
ejpam-5005	366	170	=	=	SYM
ejpam-5005	366	171	1	1	NUM
ejpam-5005	366	172	(	(	PUNCT
ejpam-5005	366	173	kg	kg	PROPN
ejpam-5005	366	174	/	/	SYM
ejpam-5005	366	175	m3	m3	PROPN
ejpam-5005	366	176	)	)	PUNCT
ejpam-5005	366	177	,	,	PUNCT
ejpam-5005	366	178	λ1	λ1	PROPN
ejpam-5005	366	179	=	=	SYM
ejpam-5005	366	180	1.3	1.3	NUM
ejpam-5005	366	181	(	(	PUNCT
ejpam-5005	366	182	sec−1	sec−1	PROPN
ejpam-5005	366	183	)	)	PUNCT
ejpam-5005	366	184	,	,	PUNCT
ejpam-5005	366	185	λ2	λ2	NOUN
ejpam-5005	366	186	=	=	SYM
ejpam-5005	366	187	1.4	1.4	NUM
ejpam-5005	366	188	(	(	PUNCT
ejpam-5005	366	189	sec−1	sec−1	PROPN
ejpam-5005	366	190	)	)	PUNCT
ejpam-5005	366	191	.	.	PUNCT
ejpam-5005	367	1			ADV
ejpam-5005	367	2	moreover	moreover	ADV
ejpam-5005	367	3	,	,	PUNCT
ejpam-5005	367	4	this	this	DET
ejpam-5005	367	5	table	table	NOUN
ejpam-5005	367	6	portrays	portray	VERB
ejpam-5005	367	7	that	that	SCONJ
ejpam-5005	367	8	as	as	ADP
ejpam-5005	367	9	the	the	DET
ejpam-5005	367	10	value	value	NOUN
ejpam-5005	367	11	of	of	ADP
ejpam-5005	367	12	rate	rate	NOUN
ejpam-5005	367	13	constant	constant	ADJ
ejpam-5005	367	14	λ1	λ1	ADJ
ejpam-5005	367	15	advances	advance	NOUN
ejpam-5005	367	16	from	from	ADP
ejpam-5005	367	17	1	1	NUM
ejpam-5005	367	18	to	to	ADP
ejpam-5005	367	19	1.3sec−1	1.3sec−1	NUM
ejpam-5005	367	20	,	,	PUNCT
ejpam-5005	367	21	the	the	DET
ejpam-5005	367	22	value	value	NOUN
ejpam-5005	367	23	of	of	ADP
ejpam-5005	367	24	the	the	DET
ejpam-5005	367	25	concentration	concentration	NOUN
ejpam-5005	367	26	c3(t	c3(t	PROPN
ejpam-5005	367	27	)	)	PUNCT
ejpam-5005	367	28	of	of	ADP
ejpam-5005	367	29	a	a	DET
ejpam-5005	367	30	chemical	chemical	ADJ
ejpam-5005	367	31	substance	substance	NOUN
ejpam-5005	367	32	z	z	NOUN
ejpam-5005	367	33	increases	increase	VERB
ejpam-5005	367	34	for	for	ADP
ejpam-5005	367	35	all	all	DET
ejpam-5005	367	36	time	time	NOUN
ejpam-5005	367	37	t	t	NOUN
ejpam-5005	367	38	values	value	NOUN
ejpam-5005	367	39	.	.	PUNCT
ejpam-5005	368	1	in	in	ADP
ejpam-5005	368	2	addition	addition	NOUN
ejpam-5005	368	3	,	,	PUNCT
ejpam-5005	368	4	this	this	DET
ejpam-5005	368	5	table	table	NOUN
ejpam-5005	368	6	unveils	unveil	VERB
ejpam-5005	368	7	that	that	SCONJ
ejpam-5005	368	8	while	while	SCONJ
ejpam-5005	368	9	the	the	DET
ejpam-5005	368	10	value	value	NOUN
ejpam-5005	368	11	of	of	ADP
ejpam-5005	368	12	rate	rate	NOUN
ejpam-5005	368	13	constant	constant	ADJ
ejpam-5005	368	14	λ2	λ2	NOUN
ejpam-5005	368	15	expands	expand	VERB
ejpam-5005	368	16	from	from	ADP
ejpam-5005	368	17	0.5	0.5	NUM
ejpam-5005	368	18	to	to	ADP
ejpam-5005	368	19	1.4sec−1	1.4sec−1	NUM
ejpam-5005	368	20	,	,	PUNCT
ejpam-5005	368	21	the	the	DET
ejpam-5005	368	22	value	value	NOUN
ejpam-5005	368	23	of	of	ADP
ejpam-5005	368	24	the	the	DET
ejpam-5005	368	25	concentration	concentration	NOUN
ejpam-5005	368	26	c3(t	c3(t	PROPN
ejpam-5005	368	27	)	)	PUNCT
ejpam-5005	368	28	of	of	ADP
ejpam-5005	368	29	a	a	DET
ejpam-5005	368	30	chemical	chemical	ADJ
ejpam-5005	368	31	substance	substance	NOUN
ejpam-5005	368	32	z	z	NOUN
ejpam-5005	368	33	expands	expand	VERB
ejpam-5005	368	34	for	for	ADP
ejpam-5005	368	35	all	all	DET
ejpam-5005	368	36	values	value	NOUN
ejpam-5005	368	37	of	of	ADP
ejpam-5005	368	38	time	time	NOUN
ejpam-5005	368	39	t.	t.	PROPN
ejpam-5005	368	40	in	in	ADP
ejpam-5005	368	41	addition	addition	NOUN
ejpam-5005	368	42	,	,	PUNCT
ejpam-5005	368	43	table	table	NOUN
ejpam-5005	368	44	4	4	NUM
ejpam-5005	368	45	exhibits	exhibit	VERB
ejpam-5005	368	46	that	that	PRON
ejpam-5005	368	47	for	for	ADP
ejpam-5005	368	48	high	high	ADJ
ejpam-5005	368	49	time	time	NOUN
ejpam-5005	368	50	t	t	PROPN
ejpam-5005	368	51	values	value	NOUN
ejpam-5005	368	52	,	,	PUNCT
ejpam-5005	368	53	the	the	DET
ejpam-5005	368	54	concentration	concentration	NOUN
ejpam-5005	368	55	c3(t	c3(t	PROPN
ejpam-5005	368	56	)	)	PUNCT
ejpam-5005	368	57	of	of	ADP
ejpam-5005	368	58	a	a	DET
ejpam-5005	368	59	chemical	chemical	ADJ
ejpam-5005	368	60	substance	substance	NOUN
ejpam-5005	368	61	z	z	NOUN
ejpam-5005	368	62	develops	develop	VERB
ejpam-5005	368	63	into	into	ADP
ejpam-5005	368	64	1	1	NUM
ejpam-5005	368	65	kg	kg	NOUN
ejpam-5005	368	66	/	/	SYM
ejpam-5005	368	67	m3	m3	PROPN
ejpam-5005	368	68	.	.	PUNCT
ejpam-5005	369	1	the	the	DET
ejpam-5005	369	2	graph	graph	NOUN
ejpam-5005	369	3	sketch	sketch	NOUN
ejpam-5005	369	4	in	in	ADP
ejpam-5005	369	5	figure	figure	NOUN
ejpam-5005	369	6	3	3	NUM
ejpam-5005	369	7	renders	render	VERB
ejpam-5005	369	8	the	the	DET
ejpam-5005	369	9	equivalent	equivalent	ADJ
ejpam-5005	369	10	findings	finding	NOUN
ejpam-5005	369	11	as	as	ADP
ejpam-5005	369	12	in	in	ADP
ejpam-5005	369	13	table	table	NOUN
ejpam-5005	369	14	4	4	NUM
ejpam-5005	369	15	.	.	PUNCT
ejpam-5005	369	16	table	table	NOUN
ejpam-5005	369	17	4	4	NUM
ejpam-5005	369	18	.	.	PUNCT
ejpam-5005	369	19	concentration	concentration	NOUN
ejpam-5005	369	20	c3(t	c3(t	PROPN
ejpam-5005	369	21	)	)	PUNCT
ejpam-5005	369	22	of	of	ADP
ejpam-5005	369	23	a	a	DET
ejpam-5005	369	24	chemical	chemical	ADJ
ejpam-5005	369	25	substance	substance	NOUN
ejpam-5005	369	26	z	z	NOUN
ejpam-5005	369	27	at	at	ADP
ejpam-5005	369	28	time	time	NOUN
ejpam-5005	369	29	t	t	PROPN
ejpam-5005	369	30	of	of	ADP
ejpam-5005	369	31	different	different	ADJ
ejpam-5005	369	32	combinations	combination	NOUN
ejpam-5005	369	33	of	of	ADP
ejpam-5005	369	34	values	value	NOUN
ejpam-5005	369	35	α	α	NOUN
ejpam-5005	369	36	,	,	PUNCT
ejpam-5005	369	37	λ1	λ1	ADJ
ejpam-5005	369	38	and	and	CCONJ
ejpam-5005	369	39	λ2	λ2	PROPN
ejpam-5005	369	40	.	.	PUNCT
ejpam-5005	370	1	t(sec	t(sec	PROPN
ejpam-5005	370	2	)	)	PUNCT
ejpam-5005	371	1	c3(t	c3(t	PROPN
ejpam-5005	371	2	)	)	PUNCT
ejpam-5005	371	3	(	(	PUNCT
ejpam-5005	371	4	kg	kg	PROPN
ejpam-5005	371	5	/	/	SYM
ejpam-5005	371	6	m3	m3	PROPN
ejpam-5005	371	7	)	)	PUNCT
ejpam-5005	372	1	α	α	NOUN
ejpam-5005	372	2	=	=	SYM
ejpam-5005	372	3	1	1	NUM
ejpam-5005	372	4	(	(	PUNCT
ejpam-5005	372	5	kg	kg	PROPN
ejpam-5005	372	6	/	/	SYM
ejpam-5005	372	7	m3	m3	PROPN
ejpam-5005	372	8	)	)	PUNCT
ejpam-5005	372	9	,	,	PUNCT
ejpam-5005	372	10	λ1	λ1	PROPN
ejpam-5005	372	11	=	=	SYM
ejpam-5005	372	12	1	1	NUM
ejpam-5005	372	13	(	(	PUNCT
ejpam-5005	372	14	sec−1	sec−1	NOUN
ejpam-5005	372	15	)	)	PUNCT
ejpam-5005	372	16	α	α	NOUN
ejpam-5005	373	1	=	=	SYM
ejpam-5005	373	2	1	1	NUM
ejpam-5005	373	3	(	(	PUNCT
ejpam-5005	373	4	kg	kg	PROPN
ejpam-5005	373	5	/	/	SYM
ejpam-5005	373	6	m3	m3	PROPN
ejpam-5005	373	7	)	)	PUNCT
ejpam-5005	373	8	,	,	PUNCT
ejpam-5005	373	9	λ1	λ1	PROPN
ejpam-5005	373	10	=	=	SYM
ejpam-5005	373	11	1.2	1.2	NUM
ejpam-5005	373	12	(	(	PUNCT
ejpam-5005	373	13	sec−1	sec−1	NOUN
ejpam-5005	373	14	)	)	PUNCT
ejpam-5005	373	15	α	α	NOUN
ejpam-5005	373	16	=	=	SYM
ejpam-5005	373	17	1	1	NUM
ejpam-5005	373	18	(	(	PUNCT
ejpam-5005	373	19	kg	kg	PROPN
ejpam-5005	373	20	/	/	SYM
ejpam-5005	373	21	m3	m3	PROPN
ejpam-5005	373	22	)	)	PUNCT
ejpam-5005	373	23	,	,	PUNCT
ejpam-5005	373	24	λ1	λ1	PROPN
ejpam-5005	373	25	=	=	SYM
ejpam-5005	373	26	1.3	1.3	NUM
ejpam-5005	373	27	(	(	PUNCT
ejpam-5005	373	28	sec−1	sec−1	NOUN
ejpam-5005	373	29	)	)	PUNCT
ejpam-5005	373	30	λ2	λ2	NOUN
ejpam-5005	373	31	=	=	SYM
ejpam-5005	373	32	0.5	0.5	NUM
ejpam-5005	373	33	(	(	PUNCT
ejpam-5005	373	34	sec−1	sec−1	NOUN
ejpam-5005	373	35	)	)	PUNCT
ejpam-5005	373	36	λ2	λ2	NOUN
ejpam-5005	373	37	=	=	SYM
ejpam-5005	373	38	1.1	1.1	NUM
ejpam-5005	373	39	(	(	PUNCT
ejpam-5005	373	40	sec−1	sec−1	NOUN
ejpam-5005	373	41	)	)	PUNCT
ejpam-5005	373	42	λ2	λ2	NOUN
ejpam-5005	373	43	=	=	SYM
ejpam-5005	373	44	1.4	1.4	NUM
ejpam-5005	373	45	(	(	PUNCT
ejpam-5005	373	46	sec−1	sec−1	NOUN
ejpam-5005	373	47	)	)	PUNCT
ejpam-5005	373	48	λ2	λ2	NOUN
ejpam-5005	373	49	=	=	SYM
ejpam-5005	373	50	0.5	0.5	NUM
ejpam-5005	373	51	(	(	PUNCT
ejpam-5005	373	52	sec−1	sec−1	NOUN
ejpam-5005	373	53	)	)	PUNCT
ejpam-5005	373	54	λ2	λ2	NOUN
ejpam-5005	373	55	=	=	SYM
ejpam-5005	373	56	1.1	1.1	NUM
ejpam-5005	373	57	(	(	PUNCT
ejpam-5005	373	58	sec−1	sec−1	NOUN
ejpam-5005	373	59	)	)	PUNCT
ejpam-5005	373	60	λ2	λ2	NOUN
ejpam-5005	373	61	=	=	SYM
ejpam-5005	373	62	1.4	1.4	NUM
ejpam-5005	373	63	(	(	PUNCT
ejpam-5005	373	64	sec	sec	PROPN
ejpam-5005	373	65	−1	−1	NOUN
ejpam-5005	373	66	)	)	PUNCT
ejpam-5005	373	67	λ2	λ2	NOUN
ejpam-5005	373	68	=	=	SYM
ejpam-5005	373	69	0.5	0.5	NUM
ejpam-5005	373	70	(	(	PUNCT
ejpam-5005	373	71	sec−1	sec−1	NOUN
ejpam-5005	373	72	)	)	PUNCT
ejpam-5005	373	73	λ2	λ2	NOUN
ejpam-5005	373	74	=	=	SYM
ejpam-5005	373	75	1.1	1.1	NUM
ejpam-5005	373	76	(	(	PUNCT
ejpam-5005	373	77	sec−1	sec−1	PROPN
ejpam-5005	373	78	)	)	PUNCT
ejpam-5005	373	79	0	0	NUM
ejpam-5005	374	1	0.00	0.00	NUM
ejpam-5005	374	2	0.00	0.00	NUM
ejpam-5005	374	3	0.00	0.00	NUM
ejpam-5005	374	4	0.00	0.00	NUM
ejpam-5005	374	5	0.00	0.00	NUM
ejpam-5005	374	6	0.00	0.00	NUM
ejpam-5005	374	7	0.00	0.00	NUM
ejpam-5005	374	8	0.00	0.00	NUM
ejpam-5005	374	9	1.0	1.0	NUM
ejpam-5005	374	10	0.15	0.15	NUM
ejpam-5005	374	11	0.28	0.28	NUM
ejpam-5005	374	12	0.33	0.33	NUM
ejpam-5005	374	13	0.18	0.18	NUM
ejpam-5005	374	14	0.32	0.32	NUM
ejpam-5005	374	15	0.37	0.37	NUM
ejpam-5005	374	16	0.18	0.18	NUM
ejpam-5005	374	17	0.34	0.34	NUM
ejpam-5005	374	18	2.0	2.0	NUM
ejpam-5005	374	19	0.40	0.40	NUM
ejpam-5005	374	20	0.62	0.62	NUM
ejpam-5005	374	21	0.68	0.68	NUM
ejpam-5005	374	22	0.43	0.43	NUM
ejpam-5005	374	23	0.67	0.67	NUM
ejpam-5005	374	24	0.73	0.73	NUM
ejpam-5005	374	25	0.45	0.45	NUM
ejpam-5005	374	26	0.69	0.69	NUM
ejpam-5005	374	27	3.0	3.0	NUM
ejpam-5005	374	28	0.60	0.60	NUM
ejpam-5005	374	29	0.82	0.82	NUM
ejpam-5005	374	30	0.86	0.86	NUM
ejpam-5005	374	31	0.64	0.64	NUM
ejpam-5005	374	32	0.86	0.86	NUM
ejpam-5005	374	33	0.90	0.90	NUM
ejpam-5005	374	34	0.65	0.65	NUM
ejpam-5005	374	35	0.87	0.87	NUM
ejpam-5005	374	36	4.0	4.0	NUM
ejpam-5005	374	37	0.75	0.75	NUM
ejpam-5005	374	38	0.92	0.92	NUM
ejpam-5005	374	39	0.95	0.95	NUM
ejpam-5005	374	40	0.77	0.77	NUM
ejpam-5005	374	41	0.94	0.94	NUM
ejpam-5005	374	42	0.96	0.96	NUM
ejpam-5005	374	43	0.78	0.78	NUM
ejpam-5005	374	44	0.95	0.95	NUM
ejpam-5005	374	45	5.0	5.0	NUM
ejpam-5005	374	46	0.84	0.84	NUM
ejpam-5005	374	47	0.97	0.97	NUM
ejpam-5005	374	48	0.98	0.98	NUM
ejpam-5005	374	49	0.86	0.86	NUM
ejpam-5005	374	50	0.98	0.98	NUM
ejpam-5005	374	51	0.99	0.99	NUM
ejpam-5005	374	52	0.87	0.87	NUM
ejpam-5005	374	53	0.98	0.98	NUM
ejpam-5005	374	54	6.0	6.0	NUM
ejpam-5005	374	55	0.90	0.90	NUM
ejpam-5005	374	56	0.99	0.99	NUM
ejpam-5005	374	57	0.99	0.99	NUM
ejpam-5005	374	58	0.92	0.92	NUM
ejpam-5005	374	59	0.99	0.99	NUM
ejpam-5005	374	60	1.00	1.00	NUM
ejpam-5005	374	61	0.92	0.92	NUM
ejpam-5005	374	62	0.99	0.99	NUM
ejpam-5005	374	63	7.0	7.0	NUM
ejpam-5005	374	64	0.94	0.94	NUM
ejpam-5005	374	65	0.99	0.99	NUM
ejpam-5005	374	66	1.00	1.00	NUM
ejpam-5005	374	67	0.95	0.95	NUM
ejpam-5005	374	68	1.00	1.00	NUM
ejpam-5005	374	69	1.00	1.00	NUM
ejpam-5005	374	70	0.95	0.95	NUM
ejpam-5005	374	71	1.00	1.00	NUM
ejpam-5005	374	72	d.	d.	PROPN
ejpam-5005	374	73	k.	k.	PROPN
ejpam-5005	374	74	almutairi	almutairi	PROPN
ejpam-5005	374	75	et	et	PROPN
ejpam-5005	374	76	al	al	PROPN
ejpam-5005	374	77	.	.	PUNCT
ejpam-5005	374	78	/	/	SYM
ejpam-5005	374	79	eur	eur	PROPN
ejpam-5005	374	80	.	.	PUNCT
ejpam-5005	375	1	j.	j.	PROPN
ejpam-5005	375	2	pure	pure	PROPN
ejpam-5005	375	3	appl	appl	PROPN
ejpam-5005	375	4	.	.	PROPN
ejpam-5005	375	5	math	math	PROPN
ejpam-5005	375	6	,	,	PUNCT
ejpam-5005	375	7	17	17	NUM
ejpam-5005	375	8	(	(	PUNCT
ejpam-5005	375	9	1	1	NUM
ejpam-5005	375	10	)	)	PUNCT
ejpam-5005	375	11	(	(	PUNCT
ejpam-5005	375	12	2024	2024	NUM
ejpam-5005	375	13	)	)	PUNCT
ejpam-5005	375	14	,	,	PUNCT
ejpam-5005	375	15	385	385	NUM
ejpam-5005	375	16	-	-	SYM
ejpam-5005	375	17	409	409	NUM
ejpam-5005	375	18	404	404	NUM
ejpam-5005	375	19	figure	figure	NOUN
ejpam-5005	375	20	3	3	NUM
ejpam-5005	375	21	:	:	PUNCT
ejpam-5005	375	22	concentration	concentration	NOUN
ejpam-5005	375	23	c3(t	c3(t	PROPN
ejpam-5005	375	24	)	)	PUNCT
ejpam-5005	375	25	of	of	ADP
ejpam-5005	375	26	a	a	DET
ejpam-5005	375	27	chemical	chemical	ADJ
ejpam-5005	375	28	substance	substance	NOUN
ejpam-5005	375	29	z	z	NOUN
ejpam-5005	375	30	at	at	ADP
ejpam-5005	375	31	time	time	NOUN
ejpam-5005	375	32	t	t	PROPN
ejpam-5005	375	33	of	of	ADP
ejpam-5005	375	34	different	different	ADJ
ejpam-5005	375	35	combinations	combination	NOUN
ejpam-5005	375	36	of	of	ADP
ejpam-5005	375	37	values	value	NOUN
ejpam-5005	375	38	α	α	NOUN
ejpam-5005	375	39	,	,	PUNCT
ejpam-5005	375	40	λ1	λ1	ADJ
ejpam-5005	375	41	and	and	CCONJ
ejpam-5005	375	42	λ2	λ2	NOUN
ejpam-5005	375	43	.	.	PUNCT
ejpam-5005	376	1	5	5	NUM
ejpam-5005	376	2	.	.	X
ejpam-5005	376	3	conclusion	conclusion	NOUN
ejpam-5005	376	4	in	in	ADP
ejpam-5005	376	5	this	this	DET
ejpam-5005	376	6	comprehensive	comprehensive	ADJ
ejpam-5005	376	7	research	research	NOUN
ejpam-5005	376	8	,	,	PUNCT
ejpam-5005	376	9	the	the	DET
ejpam-5005	376	10	mohanad	mohanad	ADJ
ejpam-5005	376	11	transform	transform	NOUN
ejpam-5005	376	12	(	(	PUNCT
ejpam-5005	376	13	m.t	m.t	PROPN
ejpam-5005	376	14	.	.	PROPN
ejpam-5005	376	15	)	)	PUNCT
ejpam-5005	376	16	emerged	emerge	VERB
ejpam-5005	376	17	as	as	ADP
ejpam-5005	376	18	a	a	DET
ejpam-5005	376	19	pivotal	pivotal	ADJ
ejpam-5005	376	20	mathematical	mathematical	ADJ
ejpam-5005	376	21	tool	tool	NOUN
ejpam-5005	376	22	,	,	PUNCT
ejpam-5005	376	23	its	its	PRON
ejpam-5005	376	24	versatility	versatility	NOUN
ejpam-5005	376	25	and	and	CCONJ
ejpam-5005	376	26	efficiency	efficiency	NOUN
ejpam-5005	376	27	evident	evident	ADJ
ejpam-5005	376	28	in	in	ADP
ejpam-5005	376	29	solving	solve	VERB
ejpam-5005	376	30	a	a	DET
ejpam-5005	376	31	wide	wide	ADJ
ejpam-5005	376	32	array	array	NOUN
ejpam-5005	376	33	of	of	ADP
ejpam-5005	376	34	scientific	scientific	ADJ
ejpam-5005	376	35	and	and	CCONJ
ejpam-5005	376	36	engineering	engineering	NOUN
ejpam-5005	376	37	problems	problem	NOUN
ejpam-5005	376	38	.	.	PUNCT
ejpam-5005	377	1	the	the	DET
ejpam-5005	377	2	study	study	NOUN
ejpam-5005	377	3	showcased	showcase	VERB
ejpam-5005	377	4	the	the	DET
ejpam-5005	377	5	foundational	foundational	ADJ
ejpam-5005	377	6	properties	property	NOUN
ejpam-5005	377	7	of	of	ADP
ejpam-5005	377	8	m.t	m.t	PROPN
ejpam-5005	377	9	.	.	PROPN
ejpam-5005	378	1	and	and	CCONJ
ejpam-5005	378	2	its	its	PRON
ejpam-5005	378	3	relation	relation	NOUN
ejpam-5005	378	4	to	to	ADP
ejpam-5005	378	5	integral	integral	ADJ
ejpam-5005	378	6	transforms	transform	NOUN
ejpam-5005	378	7	,	,	PUNCT
ejpam-5005	378	8	affirming	affirm	VERB
ejpam-5005	378	9	its	its	PRON
ejpam-5005	378	10	robustness	robustness	NOUN
ejpam-5005	378	11	in	in	ADP
ejpam-5005	378	12	tackling	tackle	VERB
ejpam-5005	378	13	complex	complex	ADJ
ejpam-5005	378	14	differential	differential	ADJ
ejpam-5005	378	15	equations	equation	NOUN
ejpam-5005	378	16	.	.	PUNCT
ejpam-5005	379	1	by	by	ADP
ejpam-5005	379	2	presenting	present	VERB
ejpam-5005	379	3	concrete	concrete	ADJ
ejpam-5005	379	4	examples	example	NOUN
ejpam-5005	379	5	of	of	ADP
ejpam-5005	379	6	solving	solve	VERB
ejpam-5005	379	7	systems	system	NOUN
ejpam-5005	379	8	of	of	ADP
ejpam-5005	379	9	ordinary	ordinary	ADJ
ejpam-5005	379	10	differential	differential	ADJ
ejpam-5005	379	11	equations	equation	NOUN
ejpam-5005	379	12	(	(	PUNCT
ejpam-5005	379	13	odes	ode	NOUN
ejpam-5005	379	14	)	)	PUNCT
ejpam-5005	379	15	and	and	CCONJ
ejpam-5005	379	16	applying	apply	VERB
ejpam-5005	379	17	m.t	m.t	PROPN
ejpam-5005	379	18	.	.	PROPN
ejpam-5005	379	19	to	to	PART
ejpam-5005	379	20	determine	determine	VERB
ejpam-5005	379	21	chemical	chemical	ADJ
ejpam-5005	379	22	reactant	reactant	NOUN
ejpam-5005	379	23	concentrations	concentration	NOUN
ejpam-5005	379	24	in	in	ADP
ejpam-5005	379	25	a	a	DET
ejpam-5005	379	26	series	series	NOUN
ejpam-5005	379	27	reaction	reaction	NOUN
ejpam-5005	379	28	,	,	PUNCT
ejpam-5005	379	29	this	this	DET
ejpam-5005	379	30	work	work	NOUN
ejpam-5005	379	31	not	not	PART
ejpam-5005	379	32	only	only	ADV
ejpam-5005	379	33	validated	validate	VERB
ejpam-5005	379	34	its	its	PRON
ejpam-5005	379	35	efficacy	efficacy	NOUN
ejpam-5005	379	36	but	but	CCONJ
ejpam-5005	379	37	also	also	ADV
ejpam-5005	379	38	demonstrated	demonstrate	VERB
ejpam-5005	379	39	its	its	PRON
ejpam-5005	379	40	practical	practical	ADJ
ejpam-5005	379	41	utility	utility	NOUN
ejpam-5005	379	42	in	in	ADP
ejpam-5005	379	43	physical	physical	ADJ
ejpam-5005	379	44	chemistry	chemistry	NOUN
ejpam-5005	379	45	.	.	PUNCT
ejpam-5005	380	1	the	the	DET
ejpam-5005	380	2	transformative	transformative	ADJ
ejpam-5005	380	3	aspect	aspect	NOUN
ejpam-5005	380	4	of	of	ADP
ejpam-5005	380	5	m.t	m.t	PROPN
ejpam-5005	380	6	.	.	PROPN
ejpam-5005	380	7	lies	lie	VERB
ejpam-5005	380	8	in	in	ADP
ejpam-5005	380	9	its	its	PRON
ejpam-5005	380	10	ability	ability	NOUN
ejpam-5005	380	11	to	to	PART
ejpam-5005	380	12	yield	yield	VERB
ejpam-5005	380	13	exact	exact	ADJ
ejpam-5005	380	14	solutions	solution	NOUN
ejpam-5005	380	15	with	with	ADP
ejpam-5005	380	16	minimal	minimal	ADJ
ejpam-5005	380	17	computational	computational	ADJ
ejpam-5005	380	18	load	load	NOUN
ejpam-5005	380	19	,	,	PUNCT
ejpam-5005	380	20	underscoring	underscore	VERB
ejpam-5005	380	21	its	its	PRON
ejpam-5005	380	22	precision	precision	NOUN
ejpam-5005	380	23	and	and	CCONJ
ejpam-5005	380	24	efficiency	efficiency	NOUN
ejpam-5005	380	25	in	in	ADP
ejpam-5005	380	26	problem	problem	NOUN
ejpam-5005	380	27	-	-	PUNCT
ejpam-5005	380	28	solving	solving	NOUN
ejpam-5005	380	29	.	.	PUNCT
ejpam-5005	381	1	the	the	DET
ejpam-5005	381	2	novelty	novelty	NOUN
ejpam-5005	381	3	of	of	ADP
ejpam-5005	381	4	this	this	DET
ejpam-5005	381	5	research	research	NOUN
ejpam-5005	381	6	extends	extend	VERB
ejpam-5005	381	7	beyond	beyond	ADP
ejpam-5005	381	8	the	the	DET
ejpam-5005	381	9	mere	mere	ADJ
ejpam-5005	381	10	introduction	introduction	NOUN
ejpam-5005	381	11	of	of	ADP
ejpam-5005	381	12	m.t	m.t	PROPN
ejpam-5005	381	13	.	.	PROPN
ejpam-5005	381	14	,	,	PUNCT
ejpam-5005	381	15	shedding	shed	VERB
ejpam-5005	381	16	light	light	NOUN
ejpam-5005	381	17	on	on	ADP
ejpam-5005	381	18	its	its	PRON
ejpam-5005	381	19	application	application	NOUN
ejpam-5005	381	20	across	across	ADP
ejpam-5005	381	21	diverse	diverse	ADJ
ejpam-5005	381	22	fields	field	NOUN
ejpam-5005	381	23	such	such	ADJ
ejpam-5005	381	24	as	as	ADP
ejpam-5005	381	25	electric	electric	ADJ
ejpam-5005	381	26	circuits	circuit	NOUN
ejpam-5005	381	27	,	,	PUNCT
ejpam-5005	381	28	population	population	NOUN
ejpam-5005	381	29	growth	growth	NOUN
ejpam-5005	381	30	,	,	PUNCT
ejpam-5005	381	31	vibrational	vibrational	ADJ
ejpam-5005	381	32	beams	beam	NOUN
ejpam-5005	381	33	,	,	PUNCT
ejpam-5005	381	34	and	and	CCONJ
ejpam-5005	381	35	heat	heat	NOUN
ejpam-5005	381	36	conduction	conduction	NOUN
ejpam-5005	381	37	.	.	PUNCT
ejpam-5005	382	1	by	by	ADP
ejpam-5005	382	2	delving	delve	VERB
ejpam-5005	382	3	into	into	ADP
ejpam-5005	382	4	its	its	PRON
ejpam-5005	382	5	interdisciplinary	interdisciplinary	ADJ
ejpam-5005	382	6	utility	utility	NOUN
ejpam-5005	382	7	,	,	PUNCT
ejpam-5005	382	8	this	this	DET
ejpam-5005	382	9	study	study	NOUN
ejpam-5005	382	10	broadens	broaden	VERB
ejpam-5005	382	11	the	the	DET
ejpam-5005	382	12	understanding	understanding	NOUN
ejpam-5005	382	13	of	of	ADP
ejpam-5005	382	14	where	where	SCONJ
ejpam-5005	382	15	and	and	CCONJ
ejpam-5005	382	16	how	how	SCONJ
ejpam-5005	382	17	m.t	m.t	AUX
ejpam-5005	382	18	.	.	PROPN
ejpam-5005	382	19	can	can	AUX
ejpam-5005	382	20	be	be	AUX
ejpam-5005	382	21	effectively	effectively	ADV
ejpam-5005	382	22	employed	employ	VERB
ejpam-5005	382	23	.	.	PUNCT
ejpam-5005	383	1	moreover	moreover	ADV
ejpam-5005	383	2	,	,	PUNCT
ejpam-5005	383	3	the	the	DET
ejpam-5005	383	4	emphasis	emphasis	NOUN
ejpam-5005	383	5	on	on	ADP
ejpam-5005	383	6	its	its	PRON
ejpam-5005	383	7	cross	cross	ADJ
ejpam-5005	383	8	-	-	ADJ
ejpam-5005	383	9	disciplinary	disciplinary	ADJ
ejpam-5005	383	10	application	application	NOUN
ejpam-5005	383	11	between	between	ADP
ejpam-5005	383	12	mathematics	mathematic	NOUN
ejpam-5005	383	13	and	and	CCONJ
ejpam-5005	383	14	physical	physical	ADJ
ejpam-5005	383	15	chemistry	chemistry	NOUN
ejpam-5005	383	16	exemplifies	exemplify	VERB
ejpam-5005	383	17	its	its	PRON
ejpam-5005	383	18	real	real	ADJ
ejpam-5005	383	19	-	-	PUNCT
ejpam-5005	383	20	world	world	NOUN
ejpam-5005	383	21	relevance	relevance	NOUN
ejpam-5005	383	22	,	,	PUNCT
ejpam-5005	383	23	surpassing	surpass	VERB
ejpam-5005	383	24	theoretical	theoretical	ADJ
ejpam-5005	383	25	constructs	construct	NOUN
ejpam-5005	383	26	to	to	PART
ejpam-5005	383	27	address	address	VERB
ejpam-5005	383	28	practical	practical	ADJ
ejpam-5005	383	29	scientific	scientific	ADJ
ejpam-5005	383	30	challenges[11–13	challenges[11–13	NOUN
ejpam-5005	383	31	,	,	PUNCT
ejpam-5005	383	32	27	27	NUM
ejpam-5005	383	33	,	,	PUNCT
ejpam-5005	383	34	29	29	NUM
ejpam-5005	383	35	,	,	PUNCT
ejpam-5005	383	36	31	31	NUM
ejpam-5005	383	37	,	,	PUNCT
ejpam-5005	383	38	32	32	NUM
ejpam-5005	383	39	,	,	PUNCT
ejpam-5005	383	40	34	34	NUM
ejpam-5005	383	41	,	,	PUNCT
ejpam-5005	383	42	36	36	NUM
ejpam-5005	383	43	,	,	PUNCT
ejpam-5005	383	44	41	41	NUM
ejpam-5005	383	45	]	]	PUNCT
ejpam-5005	383	46	.	.	PUNCT
ejpam-5005	384	1	the	the	DET
ejpam-5005	384	2	incorporation	incorporation	NOUN
ejpam-5005	384	3	of	of	ADP
ejpam-5005	384	4	graphs	graph	NOUN
ejpam-5005	384	5	and	and	CCONJ
ejpam-5005	384	6	tables	table	NOUN
ejpam-5005	384	7	further	far	ADV
ejpam-5005	384	8	enhances	enhance	VERB
ejpam-5005	384	9	the	the	DET
ejpam-5005	384	10	precision	precision	NOUN
ejpam-5005	384	11	and	and	CCONJ
ejpam-5005	384	12	interpretabilreferences	interpretabilreference	VERB
ejpam-5005	384	13	405	405	NUM
ejpam-5005	384	14	ity	ity	NOUN
ejpam-5005	384	15	of	of	ADP
ejpam-5005	384	16	results	result	NOUN
ejpam-5005	384	17	,	,	PUNCT
ejpam-5005	384	18	highlighting	highlight	VERB
ejpam-5005	384	19	m.t	m.t	PROPN
ejpam-5005	384	20	.	.	PROPN
ejpam-5005	384	21	’s	’s	PART
ejpam-5005	384	22	practical	practical	ADJ
ejpam-5005	384	23	significance	significance	NOUN
ejpam-5005	384	24	in	in	ADP
ejpam-5005	384	25	both	both	CCONJ
ejpam-5005	384	26	academic	academic	ADJ
ejpam-5005	384	27	and	and	CCONJ
ejpam-5005	384	28	industrial	industrial	ADJ
ejpam-5005	384	29	settings	setting	NOUN
ejpam-5005	384	30	.	.	PUNCT
ejpam-5005	385	1	the	the	DET
ejpam-5005	385	2	distinctive	distinctive	ADJ
ejpam-5005	385	3	contribution	contribution	NOUN
ejpam-5005	385	4	of	of	ADP
ejpam-5005	385	5	this	this	DET
ejpam-5005	385	6	research	research	NOUN
ejpam-5005	385	7	lies	lie	VERB
ejpam-5005	385	8	in	in	ADP
ejpam-5005	385	9	its	its	PRON
ejpam-5005	385	10	holistic	holistic	ADJ
ejpam-5005	385	11	exploration	exploration	NOUN
ejpam-5005	385	12	and	and	CCONJ
ejpam-5005	385	13	practical	practical	ADJ
ejpam-5005	385	14	deployment	deployment	NOUN
ejpam-5005	385	15	of	of	ADP
ejpam-5005	385	16	m.t	m.t	PROPN
ejpam-5005	385	17	.	.	PROPN
ejpam-5005	385	18	,	,	PUNCT
ejpam-5005	385	19	affirming	affirm	VERB
ejpam-5005	385	20	its	its	PRON
ejpam-5005	385	21	efficiency	efficiency	NOUN
ejpam-5005	385	22	,	,	PUNCT
ejpam-5005	385	23	precision	precision	NOUN
ejpam-5005	385	24	,	,	PUNCT
ejpam-5005	385	25	and	and	CCONJ
ejpam-5005	385	26	applicability	applicability	NOUN
ejpam-5005	385	27	in	in	ADP
ejpam-5005	385	28	solving	solve	VERB
ejpam-5005	385	29	complex	complex	ADJ
ejpam-5005	385	30	problems	problem	NOUN
ejpam-5005	385	31	across	across	ADP
ejpam-5005	385	32	scientific	scientific	ADJ
ejpam-5005	385	33	and	and	CCONJ
ejpam-5005	385	34	engineering	engineering	NOUN
ejpam-5005	385	35	domains	domain	NOUN
ejpam-5005	385	36	.	.	PUNCT
ejpam-5005	386	1	this	this	DET
ejpam-5005	386	2	work	work	NOUN
ejpam-5005	386	3	not	not	PART
ejpam-5005	386	4	only	only	ADV
ejpam-5005	386	5	solidifies	solidify	VERB
ejpam-5005	386	6	the	the	DET
ejpam-5005	386	7	foundational	foundational	ADJ
ejpam-5005	386	8	understanding	understanding	NOUN
ejpam-5005	386	9	of	of	ADP
ejpam-5005	386	10	m.t	m.t	PROPN
ejpam-5005	386	11	.	.	PROPN
ejpam-5005	387	1	but	but	CCONJ
ejpam-5005	387	2	also	also	ADV
ejpam-5005	387	3	showcases	showcase	VERB
ejpam-5005	387	4	its	its	PRON
ejpam-5005	387	5	transformative	transformative	ADJ
ejpam-5005	387	6	potential	potential	NOUN
ejpam-5005	387	7	,	,	PUNCT
ejpam-5005	387	8	paving	pave	VERB
ejpam-5005	387	9	the	the	DET
ejpam-5005	387	10	way	way	NOUN
ejpam-5005	387	11	for	for	ADP
ejpam-5005	387	12	future	future	ADJ
ejpam-5005	387	13	advancements	advancement	NOUN
ejpam-5005	387	14	and	and	CCONJ
ejpam-5005	387	15	innovative	innovative	ADJ
ejpam-5005	387	16	applications	application	NOUN
ejpam-5005	387	17	in	in	ADP
ejpam-5005	387	18	diverse	diverse	ADJ
ejpam-5005	387	19	disciplines	discipline	NOUN
ejpam-5005	387	20	.	.	PUNCT
ejpam-5005	388	1	acknowledgements	acknowledgement	NOUN
ejpam-5005	388	2	the	the	DET
ejpam-5005	388	3	authors	author	NOUN
ejpam-5005	388	4	would	would	AUX
ejpam-5005	388	5	like	like	VERB
ejpam-5005	388	6	to	to	PART
ejpam-5005	388	7	thank	thank	VERB
ejpam-5005	388	8	the	the	DET
ejpam-5005	388	9	deanship	deanship	NOUN
ejpam-5005	388	10	of	of	ADP
ejpam-5005	388	11	scientific	scientific	ADJ
ejpam-5005	388	12	research	research	NOUN
ejpam-5005	388	13	at	at	ADP
ejpam-5005	388	14	majmaah	majmaah	PROPN
ejpam-5005	388	15	university	university	PROPN
ejpam-5005	388	16	for	for	ADP
ejpam-5005	388	17	supporting	support	VERB
ejpam-5005	388	18	this	this	DET
ejpam-5005	388	19	work	work	NOUN
ejpam-5005	388	20	.	.	PUNCT
ejpam-5005	389	1	references	reference	NOUN
ejpam-5005	389	2	[	[	X
ejpam-5005	389	3	1	1	X
ejpam-5005	389	4	]	]	X
ejpam-5005	389	5	khalid	khalid	PROPN
ejpam-5005	389	6	suliman	suliman	PROPN
ejpam-5005	389	7	aboodh	aboodh	PROPN
ejpam-5005	389	8	.	.	PUNCT
ejpam-5005	390	1	the	the	DET
ejpam-5005	390	2	new	new	ADJ
ejpam-5005	390	3	integral	integral	ADJ
ejpam-5005	390	4	transform’aboodh	transform’aboodh	ADJ
ejpam-5005	390	5	transform	transform	NOUN
ejpam-5005	390	6	.	.	PUNCT
ejpam-5005	391	1	global	global	ADJ
ejpam-5005	391	2	journal	journal	PROPN
ejpam-5005	391	3	of	of	ADP
ejpam-5005	391	4	pure	pure	ADJ
ejpam-5005	391	5	and	and	CCONJ
ejpam-5005	391	6	applied	applied	ADJ
ejpam-5005	391	7	mathematics	mathematic	NOUN
ejpam-5005	391	8	,	,	PUNCT
ejpam-5005	391	9	9(1):35–43	9(1):35–43	NUM
ejpam-5005	391	10	,	,	PUNCT
ejpam-5005	391	11	2013	2013	NUM
ejpam-5005	391	12	.	.	PUNCT
ejpam-5005	392	1	[	[	X
ejpam-5005	392	2	2	2	X
ejpam-5005	392	3	]	]	PUNCT
ejpam-5005	392	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	392	5	aggarwal	aggarwal	NOUN
ejpam-5005	392	6	and	and	CCONJ
ejpam-5005	392	7	renu	renu	PROPN
ejpam-5005	392	8	chaudhary	chaudhary	PROPN
ejpam-5005	392	9	.	.	PUNCT
ejpam-5005	393	1	a	a	DET
ejpam-5005	393	2	comparative	comparative	ADJ
ejpam-5005	393	3	study	study	NOUN
ejpam-5005	393	4	of	of	ADP
ejpam-5005	393	5	mohand	mohand	NOUN
ejpam-5005	393	6	and	and	CCONJ
ejpam-5005	393	7	laplace	laplace	NOUN
ejpam-5005	393	8	transforms	transform	VERB
ejpam-5005	393	9	.	.	PUNCT
ejpam-5005	394	1	journal	journal	NOUN
ejpam-5005	394	2	of	of	ADP
ejpam-5005	394	3	emerging	emerge	VERB
ejpam-5005	394	4	technologies	technology	NOUN
ejpam-5005	394	5	and	and	CCONJ
ejpam-5005	394	6	innovative	innovative	ADJ
ejpam-5005	394	7	research	research	NOUN
ejpam-5005	394	8	,	,	PUNCT
ejpam-5005	394	9	6(2):230–240	6(2):230–240	NUM
ejpam-5005	394	10	,	,	PUNCT
ejpam-5005	394	11	2019	2019	NUM
ejpam-5005	394	12	.	.	PUNCT
ejpam-5005	395	1	[	[	X
ejpam-5005	395	2	3	3	X
ejpam-5005	395	3	]	]	PUNCT
ejpam-5005	395	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	395	5	aggarwal	aggarwal	NOUN
ejpam-5005	395	6	and	and	CCONJ
ejpam-5005	395	7	renu	renu	PROPN
ejpam-5005	395	8	chaudhary	chaudhary	PROPN
ejpam-5005	395	9	.	.	PUNCT
ejpam-5005	396	1	a	a	DET
ejpam-5005	396	2	comparative	comparative	ADJ
ejpam-5005	396	3	study	study	NOUN
ejpam-5005	396	4	of	of	ADP
ejpam-5005	396	5	mohand	mohand	NOUN
ejpam-5005	396	6	and	and	CCONJ
ejpam-5005	396	7	laplace	laplace	NOUN
ejpam-5005	396	8	transforms	transform	VERB
ejpam-5005	396	9	.	.	PUNCT
ejpam-5005	397	1	journal	journal	NOUN
ejpam-5005	397	2	of	of	ADP
ejpam-5005	397	3	emerging	emerge	VERB
ejpam-5005	397	4	technologies	technology	NOUN
ejpam-5005	397	5	and	and	CCONJ
ejpam-5005	397	6	innovative	innovative	ADJ
ejpam-5005	397	7	research	research	NOUN
ejpam-5005	397	8	,	,	PUNCT
ejpam-5005	397	9	6(2):230–240	6(2):230–240	NUM
ejpam-5005	397	10	,	,	PUNCT
ejpam-5005	397	11	2019	2019	NUM
ejpam-5005	397	12	.	.	PUNCT
ejpam-5005	398	1	[	[	X
ejpam-5005	398	2	4	4	X
ejpam-5005	398	3	]	]	PUNCT
ejpam-5005	398	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	398	5	aggarwal	aggarwal	NOUN
ejpam-5005	398	6	,	,	PUNCT
ejpam-5005	398	7	raman	raman	NOUN
ejpam-5005	398	8	chauhan	chauhan	PROPN
ejpam-5005	398	9	,	,	PUNCT
ejpam-5005	398	10	and	and	CCONJ
ejpam-5005	398	11	nidhi	nidhi	PROPN
ejpam-5005	398	12	sharma	sharma	PROPN
ejpam-5005	398	13	.	.	PUNCT
ejpam-5005	399	1	mohand	mohand	PROPN
ejpam-5005	399	2	transform	transform	NOUN
ejpam-5005	399	3	of	of	ADP
ejpam-5005	399	4	bessel	bessel	NOUN
ejpam-5005	399	5	’s	’s	PART
ejpam-5005	399	6	functions	function	NOUN
ejpam-5005	399	7	.	.	PUNCT
ejpam-5005	400	1	international	international	ADJ
ejpam-5005	400	2	journal	journal	PROPN
ejpam-5005	400	3	of	of	ADP
ejpam-5005	400	4	research	research	NOUN
ejpam-5005	400	5	in	in	ADP
ejpam-5005	400	6	advent	advent	ADJ
ejpam-5005	400	7	technology	technology	NOUN
ejpam-5005	400	8	,	,	PUNCT
ejpam-5005	400	9	6(11):3034–3038	6(11):3034–3038	NUM
ejpam-5005	400	10	,	,	PUNCT
ejpam-5005	400	11	2018	2018	NUM
ejpam-5005	400	12	.	.	PUNCT
ejpam-5005	401	1	[	[	X
ejpam-5005	401	2	5	5	NUM
ejpam-5005	401	3	]	]	PUNCT
ejpam-5005	401	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	401	5	aggarwal	aggarwal	PROPN
ejpam-5005	401	6	,	,	PUNCT
ejpam-5005	401	7	nidhi	nidhi	PROPN
ejpam-5005	401	8	sharma	sharma	PROPN
ejpam-5005	401	9	,	,	PUNCT
ejpam-5005	401	10	and	and	CCONJ
ejpam-5005	401	11	raman	raman	NOUN
ejpam-5005	401	12	chauhan	chauhan	PROPN
ejpam-5005	401	13	.	.	PUNCT
ejpam-5005	401	14	solution	solution	NOUN
ejpam-5005	401	15	of	of	ADP
ejpam-5005	401	16	linear	linear	PROPN
ejpam-5005	401	17	volterra	volterra	PROPN
ejpam-5005	401	18	integral	integral	ADJ
ejpam-5005	401	19	equations	equation	NOUN
ejpam-5005	401	20	of	of	ADP
ejpam-5005	401	21	second	second	ADJ
ejpam-5005	401	22	kind	kind	NOUN
ejpam-5005	401	23	using	use	VERB
ejpam-5005	401	24	mohand	mohand	NOUN
ejpam-5005	401	25	transform	transform	NOUN
ejpam-5005	401	26	.	.	PUNCT
ejpam-5005	402	1	international	international	ADJ
ejpam-5005	402	2	journal	journal	NOUN
ejpam-5005	402	3	of	of	ADP
ejpam-5005	402	4	research	research	NOUN
ejpam-5005	402	5	in	in	ADP
ejpam-5005	402	6	advent	advent	ADJ
ejpam-5005	402	7	technology	technology	NOUN
ejpam-5005	402	8	,	,	PUNCT
ejpam-5005	402	9	6(11):3098–3102	6(11):3098–3102	NUM
ejpam-5005	402	10	,	,	PUNCT
ejpam-5005	402	11	2018	2018	NUM
ejpam-5005	402	12	.	.	PUNCT
ejpam-5005	403	1	[	[	X
ejpam-5005	403	2	6	6	NUM
ejpam-5005	403	3	]	]	PUNCT
ejpam-5005	403	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	403	5	aggarwal	aggarwal	PROPN
ejpam-5005	403	6	,	,	PUNCT
ejpam-5005	403	7	nidhi	nidhi	PROPN
ejpam-5005	403	8	sharma	sharma	PROPN
ejpam-5005	403	9	,	,	PUNCT
ejpam-5005	403	10	and	and	CCONJ
ejpam-5005	403	11	raman	raman	NOUN
ejpam-5005	403	12	chauhan	chauhan	PROPN
ejpam-5005	403	13	.	.	PUNCT
ejpam-5005	404	1	duality	duality	NOUN
ejpam-5005	404	2	relations	relation	NOUN
ejpam-5005	404	3	of	of	ADP
ejpam-5005	404	4	kamal	kamal	PROPN
ejpam-5005	404	5	transform	transform	VERB
ejpam-5005	404	6	with	with	ADP
ejpam-5005	404	7	laplace	laplace	NOUN
ejpam-5005	404	8	,	,	PUNCT
ejpam-5005	404	9	laplace	laplace	NOUN
ejpam-5005	404	10	–	–	PUNCT
ejpam-5005	404	11	carson	carson	PROPN
ejpam-5005	404	12	,	,	PUNCT
ejpam-5005	404	13	aboodh	aboodh	PROPN
ejpam-5005	404	14	,	,	PUNCT
ejpam-5005	404	15	sumudu	sumudu	NOUN
ejpam-5005	404	16	,	,	PUNCT
ejpam-5005	404	17	elzaki	elzaki	NOUN
ejpam-5005	404	18	,	,	PUNCT
ejpam-5005	404	19	mohand	mohand	NOUN
ejpam-5005	404	20	and	and	CCONJ
ejpam-5005	404	21	sawi	sawi	ADJ
ejpam-5005	404	22	transforms	transform	VERB
ejpam-5005	404	23	.	.	PUNCT
ejpam-5005	405	1	sn	sn	PROPN
ejpam-5005	405	2	applied	apply	VERB
ejpam-5005	405	3	sciences	science	NOUN
ejpam-5005	405	4	,	,	PUNCT
ejpam-5005	405	5	2:1–8	2:1–8	NUM
ejpam-5005	405	6	,	,	PUNCT
ejpam-5005	405	7	2020	2020	NUM
ejpam-5005	405	8	.	.	PUNCT
ejpam-5005	406	1	[	[	X
ejpam-5005	406	2	7	7	X
ejpam-5005	406	3	]	]	PUNCT
ejpam-5005	406	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	406	5	aggarwal	aggarwal	NOUN
ejpam-5005	406	6	and	and	CCONJ
ejpam-5005	406	7	swarg	swarg	NOUN
ejpam-5005	406	8	deep	deep	ADJ
ejpam-5005	406	9	sharma	sharma	PROPN
ejpam-5005	406	10	.	.	PUNCT
ejpam-5005	407	1	a	a	DET
ejpam-5005	407	2	comparative	comparative	ADJ
ejpam-5005	407	3	study	study	NOUN
ejpam-5005	407	4	of	of	ADP
ejpam-5005	407	5	mohand	mohand	NOUN
ejpam-5005	407	6	and	and	CCONJ
ejpam-5005	407	7	sumudu	sumudu	NOUN
ejpam-5005	407	8	transforms	transform	VERB
ejpam-5005	407	9	.	.	PUNCT
ejpam-5005	408	1	journal	journal	NOUN
ejpam-5005	408	2	of	of	ADP
ejpam-5005	408	3	emerging	emerge	VERB
ejpam-5005	408	4	technologies	technology	NOUN
ejpam-5005	408	5	and	and	CCONJ
ejpam-5005	408	6	innovative	innovative	ADJ
ejpam-5005	408	7	research	research	NOUN
ejpam-5005	408	8	,	,	PUNCT
ejpam-5005	408	9	6(3):145–153	6(3):145–153	NUM
ejpam-5005	408	10	,	,	PUNCT
ejpam-5005	408	11	2019	2019	NUM
ejpam-5005	408	12	.	.	PUNCT
ejpam-5005	409	1	[	[	X
ejpam-5005	409	2	8	8	NUM
ejpam-5005	409	3	]	]	PUNCT
ejpam-5005	409	4	sudhanshu	sudhanshu	NOUN
ejpam-5005	409	5	aggarwal	aggarwal	NOUN
ejpam-5005	409	6	,	,	PUNCT
ejpam-5005	409	7	aakansha	aakansha	PROPN
ejpam-5005	409	8	vyas	vyas	PROPN
ejpam-5005	409	9	,	,	PUNCT
ejpam-5005	409	10	and	and	CCONJ
ejpam-5005	409	11	swarg	swarg	NOUN
ejpam-5005	409	12	deep	deep	ADJ
ejpam-5005	409	13	sharma	sharma	PROPN
ejpam-5005	409	14	.	.	PUNCT
ejpam-5005	410	1	mohand	mohand	NOUN
ejpam-5005	410	2	transform	transform	VERB
ejpam-5005	410	3	for	for	ADP
ejpam-5005	410	4	handling	handle	VERB
ejpam-5005	410	5	convolution	convolution	NOUN
ejpam-5005	410	6	type	type	NOUN
ejpam-5005	410	7	volterra	volterra	PROPN
ejpam-5005	410	8	integro	integro	PROPN
ejpam-5005	410	9	-	-	PUNCT
ejpam-5005	410	10	differential	differential	NOUN
ejpam-5005	410	11	equation	equation	NOUN
ejpam-5005	410	12	of	of	ADP
ejpam-5005	410	13	first	first	ADJ
ejpam-5005	410	14	kind	kind	NOUN
ejpam-5005	410	15	.	.	PUNCT
ejpam-5005	411	1	int	int	PROPN
ejpam-5005	411	2	j	j	PROPN
ejpam-5005	411	3	latest	late	ADJ
ejpam-5005	411	4	tech	tech	PROPN
ejpam-5005	411	5	eng	eng	PROPN
ejpam-5005	411	6	manag	manag	PROPN
ejpam-5005	411	7	appl	appl	PROPN
ejpam-5005	411	8	sci	sci	PROPN
ejpam-5005	411	9	,	,	PUNCT
ejpam-5005	411	10	pages	page	VERB
ejpam-5005	411	11	78–84	78–84	NOUN
ejpam-5005	411	12	,	,	PUNCT
ejpam-5005	411	13	2020	2020	NUM
ejpam-5005	411	14	.	.	PUNCT
ejpam-5005	412	1	references	reference	NOUN
ejpam-5005	412	2	406	406	NUM
ejpam-5005	412	3	[	[	X
ejpam-5005	412	4	9	9	NUM
ejpam-5005	412	5	]	]	PUNCT
ejpam-5005	412	6	shams	sham	VERB
ejpam-5005	412	7	a	a	DET
ejpam-5005	412	8	ahmed	ahmed	PROPN
ejpam-5005	412	9	,	,	PUNCT
ejpam-5005	412	10	ahmad	ahmad	PROPN
ejpam-5005	412	11	qazza	qazza	PROPN
ejpam-5005	412	12	,	,	PUNCT
ejpam-5005	412	13	rania	rania	PROPN
ejpam-5005	412	14	saadeh	saadeh	PROPN
ejpam-5005	412	15	,	,	PUNCT
ejpam-5005	412	16	and	and	CCONJ
ejpam-5005	412	17	tarig	tarig	NOUN
ejpam-5005	412	18	m	m	VERB
ejpam-5005	412	19	elzaki	elzaki	ADJ
ejpam-5005	412	20	.	.	PUNCT
ejpam-5005	413	1	conformable	conformable	ADJ
ejpam-5005	413	2	double	double	ADJ
ejpam-5005	413	3	laplace	laplace	NOUN
ejpam-5005	413	4	–	–	PUNCT
ejpam-5005	413	5	sumudu	sumudu	NOUN
ejpam-5005	413	6	iterative	iterative	NOUN
ejpam-5005	413	7	method	method	NOUN
ejpam-5005	413	8	.	.	PUNCT
ejpam-5005	414	1	symmetry	symmetry	NOUN
ejpam-5005	414	2	,	,	PUNCT
ejpam-5005	414	3	15(1):78	15(1):78	NUM
ejpam-5005	414	4	,	,	PUNCT
ejpam-5005	414	5	2022	2022	NUM
ejpam-5005	414	6	.	.	PUNCT
ejpam-5005	415	1	[	[	X
ejpam-5005	415	2	10	10	NUM
ejpam-5005	415	3	]	]	X
ejpam-5005	415	4	lamiaa	lamiaa	NOUN
ejpam-5005	415	5	h	h	PROPN
ejpam-5005	415	6	al	al	PROPN
ejpam-5005	415	7	-	-	PROPN
ejpam-5005	415	8	taee	taee	PROPN
ejpam-5005	415	9	and	and	CCONJ
ejpam-5005	415	10	waleed	waleed	PROPN
ejpam-5005	415	11	al	al	PROPN
ejpam-5005	415	12	-	-	PUNCT
ejpam-5005	415	13	hayani	hayani	PROPN
ejpam-5005	415	14	.	.	PUNCT
ejpam-5005	416	1	solving	solve	VERB
ejpam-5005	416	2	systems	system	NOUN
ejpam-5005	416	3	of	of	ADP
ejpam-5005	416	4	non	non	ADJ
ejpam-5005	416	5	-	-	ADJ
ejpam-5005	416	6	linear	linear	ADJ
ejpam-5005	416	7	volterra	volterra	NOUN
ejpam-5005	416	8	integral	integral	ADJ
ejpam-5005	416	9	equations	equation	NOUN
ejpam-5005	416	10	by	by	ADP
ejpam-5005	416	11	combined	combine	VERB
ejpam-5005	416	12	sumudu	sumudu	NOUN
ejpam-5005	416	13	transform	transform	NOUN
ejpam-5005	416	14	-	-	PUNCT
ejpam-5005	416	15	adomian	adomian	NOUN
ejpam-5005	416	16	decomposition	decomposition	NOUN
ejpam-5005	416	17	method	method	NOUN
ejpam-5005	416	18	.	.	PUNCT
ejpam-5005	417	1	iraqi	iraqi	ADJ
ejpam-5005	417	2	journal	journal	PROPN
ejpam-5005	417	3	of	of	ADP
ejpam-5005	417	4	science	science	NOUN
ejpam-5005	417	5	,	,	PUNCT
ejpam-5005	417	6	pages	page	NOUN
ejpam-5005	417	7	252–268	252–268	NUM
ejpam-5005	417	8	,	,	PUNCT
ejpam-5005	417	9	2021	2021	NUM
ejpam-5005	417	10	.	.	PUNCT
ejpam-5005	418	1	[	[	X
ejpam-5005	418	2	11	11	NUM
ejpam-5005	418	3	]	]	X
ejpam-5005	418	4	fatima	fatima	PROPN
ejpam-5005	418	5	omer	omer	PROPN
ejpam-5005	418	6	alnoor	alnoor	PROPN
ejpam-5005	418	7	and	and	CCONJ
ejpam-5005	418	8	thwiba	thwiba	PROPN
ejpam-5005	418	9	abdulslam	abdulslam	PROPN
ejpam-5005	418	10	khalid	khalid	PROPN
ejpam-5005	418	11	.	.	PUNCT
ejpam-5005	419	1	a	a	DET
ejpam-5005	419	2	short	short	ADJ
ejpam-5005	419	3	note	note	NOUN
ejpam-5005	419	4	on	on	ADP
ejpam-5005	419	5	a	a	DET
ejpam-5005	419	6	technique	technique	NOUN
ejpam-5005	419	7	for	for	ADP
ejpam-5005	419	8	solving	solve	VERB
ejpam-5005	419	9	mixing	mix	VERB
ejpam-5005	419	10	problems	problem	NOUN
ejpam-5005	419	11	by	by	ADP
ejpam-5005	419	12	using	use	VERB
ejpam-5005	419	13	the	the	DET
ejpam-5005	419	14	laplace	laplace	NOUN
ejpam-5005	419	15	transform	transform	NOUN
ejpam-5005	419	16	.	.	PUNCT
ejpam-5005	420	1	techhub	techhub	PROPN
ejpam-5005	420	2	journal	journal	PROPN
ejpam-5005	420	3	,	,	PUNCT
ejpam-5005	420	4	1(2):1–5	1(2):1–5	NUM
ejpam-5005	420	5	,	,	PUNCT
ejpam-5005	420	6	2021	2021	NUM
ejpam-5005	420	7	.	.	PUNCT
ejpam-5005	421	1	[	[	X
ejpam-5005	421	2	12	12	NUM
ejpam-5005	421	3	]	]	X
ejpam-5005	421	4	abdulrahman	abdulrahman	PROPN
ejpam-5005	421	5	bm	bm	PROPN
ejpam-5005	421	6	alzahrani	alzahrani	PROPN
ejpam-5005	421	7	,	,	PUNCT
ejpam-5005	421	8	mohamed	mohame	VERB
ejpam-5005	421	9	a	a	DET
ejpam-5005	421	10	abdoon	abdoon	NOUN
ejpam-5005	421	11	,	,	PUNCT
ejpam-5005	421	12	mohamed	mohamed	PROPN
ejpam-5005	421	13	elbadri	elbadri	PROPN
ejpam-5005	421	14	,	,	PUNCT
ejpam-5005	421	15	mohammed	mohammed	PROPN
ejpam-5005	421	16	berir	berir	NOUN
ejpam-5005	421	17	,	,	PUNCT
ejpam-5005	421	18	and	and	CCONJ
ejpam-5005	421	19	diaa	diaa	VERB
ejpam-5005	421	20	eldin	eldin	PROPN
ejpam-5005	421	21	elgezouli	elgezouli	PROPN
ejpam-5005	421	22	.	.	PUNCT
ejpam-5005	422	1	a	a	DET
ejpam-5005	422	2	comparative	comparative	ADJ
ejpam-5005	422	3	numerical	numerical	ADJ
ejpam-5005	422	4	study	study	NOUN
ejpam-5005	422	5	of	of	ADP
ejpam-5005	422	6	the	the	DET
ejpam-5005	422	7	symmetry	symmetry	NOUN
ejpam-5005	422	8	chaotic	chaotic	ADJ
ejpam-5005	422	9	jerk	jerk	NOUN
ejpam-5005	422	10	system	system	NOUN
ejpam-5005	422	11	with	with	ADP
ejpam-5005	422	12	a	a	DET
ejpam-5005	422	13	hyperbolic	hyperbolic	ADJ
ejpam-5005	422	14	sine	sine	NOUN
ejpam-5005	422	15	function	function	NOUN
ejpam-5005	422	16	via	via	ADP
ejpam-5005	422	17	two	two	NUM
ejpam-5005	422	18	different	different	ADJ
ejpam-5005	422	19	methods	method	NOUN
ejpam-5005	422	20	.	.	PUNCT
ejpam-5005	423	1	symmetry	symmetry	NOUN
ejpam-5005	423	2	,	,	PUNCT
ejpam-5005	423	3	15(11):1991	15(11):1991	NUM
ejpam-5005	423	4	,	,	PUNCT
ejpam-5005	423	5	2023	2023	NUM
ejpam-5005	423	6	.	.	PUNCT
ejpam-5005	424	1	[	[	X
ejpam-5005	424	2	13	13	NUM
ejpam-5005	424	3	]	]	PUNCT
ejpam-5005	424	4	abdulrahman	abdulrahman	NOUN
ejpam-5005	424	5	bmalzahrani	bmalzahrani	PROPN
ejpam-5005	424	6	,	,	PUNCT
ejpam-5005	424	7	rania	rania	PROPN
ejpam-5005	424	8	saadeh	saadeh	PROPN
ejpam-5005	424	9	,	,	PUNCT
ejpam-5005	424	10	mohamed	mohame	VERB
ejpam-5005	424	11	a	a	DET
ejpam-5005	424	12	abdoon	abdoon	NOUN
ejpam-5005	424	13	,	,	PUNCT
ejpam-5005	424	14	mohamed	mohamed	PROPN
ejpam-5005	424	15	elbadri	elbadri	PROPN
ejpam-5005	424	16	,	,	PUNCT
ejpam-5005	424	17	mohammed	mohammed	PROPN
ejpam-5005	424	18	berir	berir	PROPN
ejpam-5005	424	19	,	,	PUNCT
ejpam-5005	424	20	and	and	CCONJ
ejpam-5005	424	21	ahmad	ahmad	PROPN
ejpam-5005	424	22	qazza	qazza	PROPN
ejpam-5005	424	23	.	.	PUNCT
ejpam-5005	425	1	effective	effective	ADJ
ejpam-5005	425	2	methods	method	NOUN
ejpam-5005	425	3	for	for	ADP
ejpam-5005	425	4	numerical	numerical	ADJ
ejpam-5005	425	5	analysis	analysis	NOUN
ejpam-5005	425	6	of	of	ADP
ejpam-5005	425	7	the	the	DET
ejpam-5005	425	8	simplest	simple	ADJ
ejpam-5005	425	9	chaotic	chaotic	ADJ
ejpam-5005	425	10	circuit	circuit	NOUN
ejpam-5005	425	11	model	model	NOUN
ejpam-5005	425	12	with	with	ADP
ejpam-5005	425	13	atangana	atangana	PROPN
ejpam-5005	425	14	–	–	PUNCT
ejpam-5005	425	15	baleanu	baleanu	PROPN
ejpam-5005	425	16	caputo	caputo	PROPN
ejpam-5005	425	17	fractional	fractional	PROPN
ejpam-5005	425	18	derivative	derivative	PROPN
ejpam-5005	425	19	.	.	PUNCT
ejpam-5005	426	1	journal	journal	PROPN
ejpam-5005	426	2	of	of	ADP
ejpam-5005	426	3	engineering	engineering	NOUN
ejpam-5005	426	4	mathematics	mathematic	NOUN
ejpam-5005	426	5	,	,	PUNCT
ejpam-5005	426	6	144(1):9	144(1):9	NUM
ejpam-5005	426	7	,	,	PUNCT
ejpam-5005	426	8	2024	2024	NUM
ejpam-5005	426	9	.	.	PUNCT
ejpam-5005	427	1	[	[	X
ejpam-5005	427	2	14	14	NUM
ejpam-5005	427	3	]	]	X
ejpam-5005	427	4	ala	ala	PROPN
ejpam-5005	427	5	amourah	amourah	PROPN
ejpam-5005	427	6	,	,	PUNCT
ejpam-5005	427	7	abdullah	abdullah	PROPN
ejpam-5005	427	8	alsoboh	alsoboh	PROPN
ejpam-5005	427	9	,	,	PUNCT
ejpam-5005	427	10	osama	osama	NOUN
ejpam-5005	427	11	ogilat	ogilat	NOUN
ejpam-5005	427	12	,	,	PUNCT
ejpam-5005	427	13	gharib	gharib	PROPN
ejpam-5005	427	14	mousa	mousa	PROPN
ejpam-5005	427	15	gharib	gharib	PROPN
ejpam-5005	427	16	,	,	PUNCT
ejpam-5005	427	17	rania	rania	PROPN
ejpam-5005	427	18	saadeh	saadeh	PROPN
ejpam-5005	427	19	,	,	PUNCT
ejpam-5005	427	20	and	and	CCONJ
ejpam-5005	427	21	maha	maha	PROPN
ejpam-5005	427	22	al	al	PROPN
ejpam-5005	427	23	soudi	soudi	PROPN
ejpam-5005	427	24	.	.	PUNCT
ejpam-5005	428	1	a	a	DET
ejpam-5005	428	2	generalization	generalization	NOUN
ejpam-5005	428	3	of	of	ADP
ejpam-5005	428	4	gegenbauer	gegenbauer	NOUN
ejpam-5005	428	5	polynomials	polynomial	NOUN
ejpam-5005	428	6	and	and	CCONJ
ejpam-5005	428	7	biunivalent	biunivalent	NOUN
ejpam-5005	428	8	functions	function	NOUN
ejpam-5005	428	9	.	.	PUNCT
ejpam-5005	429	1	axioms	axiom	NOUN
ejpam-5005	429	2	,	,	PUNCT
ejpam-5005	429	3	12(2):128	12(2):128	NUM
ejpam-5005	429	4	,	,	PUNCT
ejpam-5005	429	5	2023	2023	NUM
ejpam-5005	429	6	.	.	PUNCT
ejpam-5005	430	1	[	[	X
ejpam-5005	430	2	15	15	NUM
ejpam-5005	430	3	]	]	X
ejpam-5005	430	4	ala	ala	PROPN
ejpam-5005	430	5	amourah	amourah	PROPN
ejpam-5005	430	6	,	,	PUNCT
ejpam-5005	430	7	abdullah	abdullah	PROPN
ejpam-5005	430	8	alsoboh	alsoboh	PROPN
ejpam-5005	430	9	,	,	PUNCT
ejpam-5005	430	10	osama	osama	NOUN
ejpam-5005	430	11	ogilat	ogilat	NOUN
ejpam-5005	430	12	,	,	PUNCT
ejpam-5005	430	13	gharib	gharib	PROPN
ejpam-5005	430	14	mousa	mousa	PROPN
ejpam-5005	430	15	gharib	gharib	PROPN
ejpam-5005	430	16	,	,	PUNCT
ejpam-5005	430	17	rania	rania	PROPN
ejpam-5005	430	18	saadeh	saadeh	PROPN
ejpam-5005	430	19	,	,	PUNCT
ejpam-5005	430	20	and	and	CCONJ
ejpam-5005	430	21	maha	maha	PROPN
ejpam-5005	430	22	al	al	PROPN
ejpam-5005	430	23	soudi	soudi	PROPN
ejpam-5005	430	24	.	.	PUNCT
ejpam-5005	431	1	a	a	DET
ejpam-5005	431	2	generalization	generalization	NOUN
ejpam-5005	431	3	of	of	ADP
ejpam-5005	431	4	gegenbauer	gegenbauer	NOUN
ejpam-5005	431	5	polynomials	polynomial	NOUN
ejpam-5005	431	6	and	and	CCONJ
ejpam-5005	431	7	biunivalent	biunivalent	NOUN
ejpam-5005	431	8	functions	function	NOUN
ejpam-5005	431	9	.	.	PUNCT
ejpam-5005	432	1	axioms	axiom	NOUN
ejpam-5005	432	2	,	,	PUNCT
ejpam-5005	432	3	12(2):128	12(2):128	NUM
ejpam-5005	432	4	,	,	PUNCT
ejpam-5005	432	5	2023	2023	NUM
ejpam-5005	432	6	.	.	PUNCT
ejpam-5005	433	1	[	[	X
ejpam-5005	433	2	16	16	NUM
ejpam-5005	433	3	]	]	X
ejpam-5005	433	4	mary	mary	PROPN
ejpam-5005	433	5	l	l	PROPN
ejpam-5005	433	6	boas	boas	PROPN
ejpam-5005	433	7	.	.	PUNCT
ejpam-5005	434	1	mathematical	mathematical	ADJ
ejpam-5005	434	2	methods	method	NOUN
ejpam-5005	434	3	in	in	ADP
ejpam-5005	434	4	the	the	DET
ejpam-5005	434	5	physical	physical	ADJ
ejpam-5005	434	6	sciences	science	NOUN
ejpam-5005	434	7	,	,	PUNCT
ejpam-5005	434	8	1999	1999	NUM
ejpam-5005	434	9	.	.	PUNCT
ejpam-5005	435	1	[	[	X
ejpam-5005	435	2	17	17	NUM
ejpam-5005	435	3	]	]	X
ejpam-5005	435	4	william	william	PROPN
ejpam-5005	435	5	e	e	PROPN
ejpam-5005	435	6	boyce	boyce	PROPN
ejpam-5005	435	7	and	and	CCONJ
ejpam-5005	435	8	richard	richard	PROPN
ejpam-5005	435	9	c	c	PROPN
ejpam-5005	435	10	diprima	diprima	PROPN
ejpam-5005	435	11	.	.	PUNCT
ejpam-5005	435	12	elementary	elementary	PROPN
ejpam-5005	435	13	differential	differential	PROPN
ejpam-5005	435	14	equations	equation	NOUN
ejpam-5005	435	15	and	and	CCONJ
ejpam-5005	435	16	boundary	boundary	ADJ
ejpam-5005	435	17	value	value	NOUN
ejpam-5005	435	18	problems	problem	NOUN
ejpam-5005	435	19	.	.	PUNCT
ejpam-5005	436	1	wiley	wiley	PROPN
ejpam-5005	436	2	,	,	PUNCT
ejpam-5005	436	3	2020	2020	NUM
ejpam-5005	436	4	.	.	PUNCT
ejpam-5005	437	1	[	[	X
ejpam-5005	437	2	18	18	NUM
ejpam-5005	437	3	]	]	PUNCT
ejpam-5005	437	4	ron	ron	PROPN
ejpam-5005	437	5	bracewell	bracewell	PROPN
ejpam-5005	437	6	and	and	CCONJ
ejpam-5005	437	7	peter	peter	PROPN
ejpam-5005	437	8	b	b	PROPN
ejpam-5005	437	9	kahn	kahn	PROPN
ejpam-5005	437	10	.	.	PUNCT
ejpam-5005	438	1	the	the	DET
ejpam-5005	438	2	fourier	fourier	NOUN
ejpam-5005	438	3	transform	transform	NOUN
ejpam-5005	438	4	and	and	CCONJ
ejpam-5005	438	5	its	its	PRON
ejpam-5005	438	6	applications	application	NOUN
ejpam-5005	438	7	.	.	PUNCT
ejpam-5005	439	1	american	american	PROPN
ejpam-5005	439	2	journal	journal	PROPN
ejpam-5005	439	3	of	of	ADP
ejpam-5005	439	4	physics	physics	PROPN
ejpam-5005	439	5	,	,	PUNCT
ejpam-5005	439	6	34(8):712–712	34(8):712–712	PROPN
ejpam-5005	439	7	,	,	PUNCT
ejpam-5005	439	8	1966	1966	NUM
ejpam-5005	439	9	.	.	PUNCT
ejpam-5005	440	1	[	[	X
ejpam-5005	440	2	19	19	NUM
ejpam-5005	440	3	]	]	X
ejpam-5005	440	4	martin	martin	PROPN
ejpam-5005	440	5	braun	braun	PROPN
ejpam-5005	440	6	and	and	CCONJ
ejpam-5005	440	7	martin	martin	PROPN
ejpam-5005	440	8	golubitsky	golubitsky	PROPN
ejpam-5005	440	9	.	.	PUNCT
ejpam-5005	441	1	differential	differential	ADJ
ejpam-5005	441	2	equations	equation	NOUN
ejpam-5005	441	3	and	and	CCONJ
ejpam-5005	441	4	their	their	PRON
ejpam-5005	441	5	applications	application	NOUN
ejpam-5005	441	6	,	,	PUNCT
ejpam-5005	441	7	volume	volume	NOUN
ejpam-5005	441	8	2	2	NUM
ejpam-5005	441	9	.	.	PUNCT
ejpam-5005	441	10	springer	springer	NOUN
ejpam-5005	441	11	,	,	PUNCT
ejpam-5005	441	12	1983	1983	NUM
ejpam-5005	441	13	.	.	PUNCT
ejpam-5005	442	1	[	[	X
ejpam-5005	442	2	20	20	NUM
ejpam-5005	442	3	]	]	X
ejpam-5005	442	4	brian	brian	PROPN
ejpam-5005	442	5	davies	davies	PROPN
ejpam-5005	442	6	.	.	PUNCT
ejpam-5005	442	7	integral	integral	ADJ
ejpam-5005	442	8	transforms	transform	NOUN
ejpam-5005	442	9	and	and	CCONJ
ejpam-5005	442	10	their	their	PRON
ejpam-5005	442	11	applications	application	NOUN
ejpam-5005	442	12	,	,	PUNCT
ejpam-5005	442	13	volume	volume	NOUN
ejpam-5005	442	14	41	41	NUM
ejpam-5005	442	15	.	.	PUNCT
ejpam-5005	443	1	springer	springer	NOUN
ejpam-5005	443	2	science	science	PROPN
ejpam-5005	443	3	&	&	CCONJ
ejpam-5005	443	4	business	business	NOUN
ejpam-5005	443	5	media	medium	NOUN
ejpam-5005	443	6	,	,	PUNCT
ejpam-5005	443	7	2002	2002	NUM
ejpam-5005	443	8	.	.	PUNCT
ejpam-5005	444	1	[	[	X
ejpam-5005	444	2	21	21	NUM
ejpam-5005	444	3	]	]	X
ejpam-5005	444	4	brian	brian	PROPN
ejpam-5005	444	5	davies	davies	PROPN
ejpam-5005	444	6	.	.	PUNCT
ejpam-5005	445	1	integral	integral	ADJ
ejpam-5005	445	2	transforms	transform	NOUN
ejpam-5005	445	3	and	and	CCONJ
ejpam-5005	445	4	their	their	PRON
ejpam-5005	445	5	applications	application	NOUN
ejpam-5005	445	6	,	,	PUNCT
ejpam-5005	445	7	volume	volume	NOUN
ejpam-5005	445	8	41	41	NUM
ejpam-5005	445	9	.	.	PUNCT
ejpam-5005	446	1	springer	springer	NOUN
ejpam-5005	446	2	science	science	PROPN
ejpam-5005	446	3	&	&	CCONJ
ejpam-5005	446	4	business	business	NOUN
ejpam-5005	446	5	media	medium	NOUN
ejpam-5005	446	6	,	,	PUNCT
ejpam-5005	446	7	2002	2002	NUM
ejpam-5005	446	8	.	.	PUNCT
ejpam-5005	447	1	references	reference	NOUN
ejpam-5005	447	2	407	407	NUM
ejpam-5005	448	1	[	[	X
ejpam-5005	448	2	22	22	NUM
ejpam-5005	448	3	]	]	PUNCT
ejpam-5005	448	4	lokenath	lokenath	NOUN
ejpam-5005	448	5	debnath	debnath	NOUN
ejpam-5005	448	6	.	.	PUNCT
ejpam-5005	449	1	the	the	DET
ejpam-5005	449	2	double	double	ADJ
ejpam-5005	449	3	laplace	laplace	NOUN
ejpam-5005	449	4	transforms	transform	VERB
ejpam-5005	449	5	and	and	CCONJ
ejpam-5005	449	6	their	their	PRON
ejpam-5005	449	7	properties	property	NOUN
ejpam-5005	449	8	with	with	ADP
ejpam-5005	449	9	applications	application	NOUN
ejpam-5005	449	10	to	to	ADP
ejpam-5005	449	11	functional	functional	ADJ
ejpam-5005	449	12	,	,	PUNCT
ejpam-5005	449	13	integral	integral	ADJ
ejpam-5005	449	14	and	and	CCONJ
ejpam-5005	449	15	partial	partial	ADJ
ejpam-5005	449	16	differential	differential	ADJ
ejpam-5005	449	17	equations	equation	NOUN
ejpam-5005	449	18	.	.	PUNCT
ejpam-5005	450	1	international	international	ADJ
ejpam-5005	450	2	journal	journal	PROPN
ejpam-5005	450	3	of	of	ADP
ejpam-5005	450	4	applied	applied	ADJ
ejpam-5005	450	5	and	and	CCONJ
ejpam-5005	450	6	computational	computational	ADJ
ejpam-5005	450	7	mathematics	mathematic	NOUN
ejpam-5005	450	8	,	,	PUNCT
ejpam-5005	450	9	2:223–241	2:223–241	NOUN
ejpam-5005	450	10	,	,	PUNCT
ejpam-5005	450	11	2016	2016	NUM
ejpam-5005	450	12	.	.	PUNCT
ejpam-5005	451	1	[	[	X
ejpam-5005	451	2	23	23	NUM
ejpam-5005	451	3	]	]	X
ejpam-5005	451	4	deepak	deepak	PROPN
ejpam-5005	451	5	dhiman	dhiman	PROPN
ejpam-5005	451	6	,	,	PUNCT
ejpam-5005	451	7	ashok	ashok	PROPN
ejpam-5005	451	8	kumar	kumar	PROPN
ejpam-5005	451	9	,	,	PUNCT
ejpam-5005	451	10	and	and	CCONJ
ejpam-5005	451	11	lakshmi	lakshmi	PROPN
ejpam-5005	451	12	narayan	narayan	PROPN
ejpam-5005	451	13	mishra	mishra	PROPN
ejpam-5005	451	14	.	.	PROPN
ejpam-5005	451	15	existence	existence	PROPN
ejpam-5005	451	16	and	and	CCONJ
ejpam-5005	451	17	uniqueness	uniqueness	ADJ
ejpam-5005	451	18	solutions	solution	NOUN
ejpam-5005	451	19	of	of	ADP
ejpam-5005	451	20	fractional	fractional	ADJ
ejpam-5005	451	21	integro	integro	ADJ
ejpam-5005	451	22	-	-	PUNCT
ejpam-5005	451	23	differential	differential	NOUN
ejpam-5005	451	24	equations	equation	NOUN
ejpam-5005	451	25	with	with	ADP
ejpam-5005	451	26	infinite	infinite	ADJ
ejpam-5005	451	27	point	point	NOUN
ejpam-5005	451	28	conditions	condition	NOUN
ejpam-5005	451	29	.	.	PUNCT
ejpam-5005	452	1	south	south	PROPN
ejpam-5005	452	2	east	east	PROPN
ejpam-5005	452	3	asian	asian	PROPN
ejpam-5005	452	4	journal	journal	PROPN
ejpam-5005	452	5	of	of	ADP
ejpam-5005	452	6	mathematics	mathematics	PROPN
ejpam-5005	452	7	&	&	CCONJ
ejpam-5005	452	8	mathematical	mathematical	PROPN
ejpam-5005	452	9	sciences	sciences	PROPN
ejpam-5005	452	10	,	,	PUNCT
ejpam-5005	452	11	16(2	16(2	NUM
ejpam-5005	452	12	)	)	PUNCT
ejpam-5005	452	13	,	,	PUNCT
ejpam-5005	452	14	2020	2020	NUM
ejpam-5005	452	15	.	.	PUNCT
ejpam-5005	453	1	[	[	X
ejpam-5005	453	2	24	24	NUM
ejpam-5005	453	3	]	]	PUNCT
ejpam-5005	453	4	ravi	ravi	PROPN
ejpam-5005	453	5	shankar	shankar	PROPN
ejpam-5005	453	6	dubey	dubey	PROPN
ejpam-5005	453	7	,	,	PUNCT
ejpam-5005	453	8	pranay	pranay	NOUN
ejpam-5005	453	9	goswami	goswami	PROPN
ejpam-5005	453	10	,	,	PUNCT
ejpam-5005	453	11	vinod	vinod	PROPN
ejpam-5005	453	12	gill	gill	PROPN
ejpam-5005	453	13	,	,	PUNCT
ejpam-5005	453	14	et	et	PROPN
ejpam-5005	453	15	al	al	PROPN
ejpam-5005	453	16	.	.	PUNCT
ejpam-5005	454	1	a	a	DET
ejpam-5005	454	2	new	new	ADJ
ejpam-5005	454	3	analytical	analytical	ADJ
ejpam-5005	454	4	method	method	NOUN
ejpam-5005	454	5	to	to	PART
ejpam-5005	454	6	solve	solve	VERB
ejpam-5005	454	7	klein	klein	PROPN
ejpam-5005	454	8	-	-	PUNCT
ejpam-5005	454	9	gordon	gordon	PROPN
ejpam-5005	454	10	equations	equation	NOUN
ejpam-5005	454	11	by	by	ADP
ejpam-5005	454	12	using	use	VERB
ejpam-5005	454	13	homotopy	homotopy	NOUN
ejpam-5005	454	14	perturbation	perturbation	NOUN
ejpam-5005	454	15	mohand	mohand	NOUN
ejpam-5005	454	16	transform	transform	NOUN
ejpam-5005	454	17	method	method	NOUN
ejpam-5005	454	18	.	.	PUNCT
ejpam-5005	455	1	malaya	malaya	PROPN
ejpam-5005	455	2	journal	journal	PROPN
ejpam-5005	455	3	of	of	ADP
ejpam-5005	455	4	matematik	matematik	PROPN
ejpam-5005	455	5	,	,	PUNCT
ejpam-5005	455	6	10(01):1–19	10(01):1–19	NUM
ejpam-5005	455	7	,	,	PUNCT
ejpam-5005	455	8	2022	2022	NUM
ejpam-5005	455	9	.	.	PUNCT
ejpam-5005	456	1	[	[	X
ejpam-5005	456	2	25	25	NUM
ejpam-5005	456	3	]	]	X
ejpam-5005	456	4	reem	reem	PROPN
ejpam-5005	456	5	edwan	edwan	PROPN
ejpam-5005	456	6	,	,	PUNCT
ejpam-5005	456	7	rania	rania	PROPN
ejpam-5005	456	8	saadeh	saadeh	PROPN
ejpam-5005	456	9	,	,	PUNCT
ejpam-5005	456	10	samir	samir	PROPN
ejpam-5005	456	11	hadid	hadid	PROPN
ejpam-5005	456	12	,	,	PUNCT
ejpam-5005	456	13	mohammed	mohammed	PROPN
ejpam-5005	456	14	al	al	PROPN
ejpam-5005	456	15	-	-	PUNCT
ejpam-5005	456	16	smadi	smadi	NOUN
ejpam-5005	456	17	,	,	PUNCT
ejpam-5005	456	18	and	and	CCONJ
ejpam-5005	456	19	shaher	shaher	ADP
ejpam-5005	456	20	momani	momani	NOUN
ejpam-5005	456	21	.	.	PUNCT
ejpam-5005	457	1	solving	solve	VERB
ejpam-5005	457	2	time	time	NOUN
ejpam-5005	457	3	-	-	PUNCT
ejpam-5005	457	4	space	space	NOUN
ejpam-5005	457	5	-	-	PUNCT
ejpam-5005	457	6	fractional	fractional	ADJ
ejpam-5005	457	7	cauchy	cauchy	ADJ
ejpam-5005	457	8	problem	problem	NOUN
ejpam-5005	457	9	with	with	ADP
ejpam-5005	457	10	constant	constant	ADJ
ejpam-5005	457	11	coefficients	coefficient	NOUN
ejpam-5005	457	12	by	by	ADP
ejpam-5005	457	13	finite	finite	ADJ
ejpam-5005	457	14	-	-	PUNCT
ejpam-5005	457	15	difference	difference	NOUN
ejpam-5005	457	16	method	method	NOUN
ejpam-5005	457	17	.	.	PUNCT
ejpam-5005	458	1	computational	computational	ADJ
ejpam-5005	458	2	mathematics	mathematic	NOUN
ejpam-5005	458	3	and	and	CCONJ
ejpam-5005	458	4	applications	application	NOUN
ejpam-5005	458	5	,	,	PUNCT
ejpam-5005	458	6	pages	page	NOUN
ejpam-5005	458	7	25–46	25–46	NUM
ejpam-5005	458	8	,	,	PUNCT
ejpam-5005	458	9	2020	2020	NUM
ejpam-5005	458	10	.	.	PUNCT
ejpam-5005	459	1	[	[	X
ejpam-5005	459	2	26	26	NUM
ejpam-5005	459	3	]	]	X
ejpam-5005	459	4	c	c	PROPN
ejpam-5005	459	5	henry	henry	PROPN
ejpam-5005	459	6	edwards	edwards	PROPN
ejpam-5005	459	7	,	,	PUNCT
ejpam-5005	459	8	david	david	PROPN
ejpam-5005	459	9	e	e	PROPN
ejpam-5005	459	10	penney	penney	PROPN
ejpam-5005	459	11	,	,	PUNCT
ejpam-5005	459	12	and	and	CCONJ
ejpam-5005	459	13	david	david	PROPN
ejpam-5005	459	14	t	t	PROPN
ejpam-5005	459	15	calvis	calvis	PROPN
ejpam-5005	459	16	.	.	PUNCT
ejpam-5005	460	1	differential	differential	ADJ
ejpam-5005	460	2	equations	equation	NOUN
ejpam-5005	460	3	with	with	ADP
ejpam-5005	460	4	boundary	boundary	NOUN
ejpam-5005	460	5	:	:	PUNCT
ejpam-5005	460	6	value	value	NOUN
ejpam-5005	460	7	problems	problem	NOUN
ejpam-5005	460	8	.	.	PUNCT
ejpam-5005	461	1	pearson	pearson	PROPN
ejpam-5005	461	2	education	education	PROPN
ejpam-5005	461	3	limited	limited	PROPN
ejpam-5005	461	4	london	london	PROPN
ejpam-5005	461	5	,	,	PUNCT
ejpam-5005	461	6	2016	2016	NUM
ejpam-5005	461	7	.	.	PUNCT
ejpam-5005	462	1	[	[	X
ejpam-5005	462	2	27	27	NUM
ejpam-5005	462	3	]	]	PUNCT
ejpam-5005	462	4	mohamed	mohamed	PROPN
ejpam-5005	462	5	elbadri	elbadri	PROPN
ejpam-5005	462	6	,	,	PUNCT
ejpam-5005	462	7	mohamed	mohame	VERB
ejpam-5005	462	8	a	a	DET
ejpam-5005	462	9	abdoon	abdoon	NOUN
ejpam-5005	462	10	,	,	PUNCT
ejpam-5005	462	11	mohammed	mohammed	PROPN
ejpam-5005	462	12	berir	berir	PROPN
ejpam-5005	462	13	,	,	PUNCT
ejpam-5005	462	14	and	and	CCONJ
ejpam-5005	462	15	dalal	dalal	PROPN
ejpam-5005	462	16	khalid	khalid	PROPN
ejpam-5005	462	17	almutairi	almutairi	PROPN
ejpam-5005	462	18	.	.	PUNCT
ejpam-5005	463	1	a	a	DET
ejpam-5005	463	2	numerical	numerical	ADJ
ejpam-5005	463	3	solution	solution	NOUN
ejpam-5005	463	4	and	and	CCONJ
ejpam-5005	463	5	comparative	comparative	ADJ
ejpam-5005	463	6	study	study	NOUN
ejpam-5005	463	7	of	of	ADP
ejpam-5005	463	8	the	the	DET
ejpam-5005	463	9	symmetric	symmetric	ADJ
ejpam-5005	463	10	rossler	rossler	NOUN
ejpam-5005	463	11	attractor	attractor	NOUN
ejpam-5005	463	12	with	with	ADP
ejpam-5005	463	13	the	the	DET
ejpam-5005	463	14	generalized	generalize	VERB
ejpam-5005	463	15	caputo	caputo	PROPN
ejpam-5005	463	16	fractional	fractional	PROPN
ejpam-5005	463	17	derivative	derivative	NOUN
ejpam-5005	463	18	via	via	ADP
ejpam-5005	463	19	two	two	NUM
ejpam-5005	463	20	different	different	ADJ
ejpam-5005	463	21	methods	method	NOUN
ejpam-5005	463	22	.	.	PUNCT
ejpam-5005	464	1	mathematics	mathematic	NOUN
ejpam-5005	464	2	,	,	PUNCT
ejpam-5005	464	3	11(13):2997	11(13):2997	NUM
ejpam-5005	464	4	,	,	PUNCT
ejpam-5005	464	5	2023	2023	NUM
ejpam-5005	464	6	.	.	PUNCT
ejpam-5005	465	1	[	[	X
ejpam-5005	465	2	28	28	NUM
ejpam-5005	465	3	]	]	X
ejpam-5005	465	4	g	g	PROPN
ejpam-5005	465	5	gharib	gharib	PROPN
ejpam-5005	465	6	and	and	CCONJ
ejpam-5005	465	7	rania	rania	PROPN
ejpam-5005	465	8	saadeh	saadeh	PROPN
ejpam-5005	465	9	.	.	PUNCT
ejpam-5005	466	1	reduction	reduction	NOUN
ejpam-5005	466	2	of	of	ADP
ejpam-5005	466	3	the	the	DET
ejpam-5005	466	4	self	self	NOUN
ejpam-5005	466	5	-	-	PUNCT
ejpam-5005	466	6	dual	dual	ADJ
ejpam-5005	466	7	yang	yang	PROPN
ejpam-5005	466	8	-	-	PUNCT
ejpam-5005	466	9	mills	mill	NOUN
ejpam-5005	466	10	equations	equation	NOUN
ejpam-5005	466	11	to	to	PART
ejpam-5005	466	12	sinh	sinh	VERB
ejpam-5005	466	13	-	-	PUNCT
ejpam-5005	466	14	poisson	poisson	NOUN
ejpam-5005	466	15	equation	equation	NOUN
ejpam-5005	466	16	and	and	CCONJ
ejpam-5005	466	17	exact	exact	ADJ
ejpam-5005	466	18	solutions	solution	NOUN
ejpam-5005	466	19	.	.	PUNCT
ejpam-5005	467	1	wseas	wseas	PROPN
ejpam-5005	467	2	interact	interact	PROPN
ejpam-5005	467	3	.	.	PUNCT
ejpam-5005	468	1	math	math	NOUN
ejpam-5005	468	2	,	,	PUNCT
ejpam-5005	468	3	20:540–554	20:540–554	NUM
ejpam-5005	468	4	,	,	PUNCT
ejpam-5005	468	5	2021	2021	NUM
ejpam-5005	468	6	.	.	PUNCT
ejpam-5005	469	1	[	[	X
ejpam-5005	469	2	29	29	NUM
ejpam-5005	469	3	]	]	X
ejpam-5005	469	4	tareq	tareq	PROPN
ejpam-5005	469	5	hamadneh	hamadneh	PROPN
ejpam-5005	469	6	,	,	PUNCT
ejpam-5005	469	7	amel	amel	PROPN
ejpam-5005	469	8	hioual	hioual	PROPN
ejpam-5005	469	9	,	,	PUNCT
ejpam-5005	469	10	rania	rania	PROPN
ejpam-5005	469	11	saadeh	saadeh	PROPN
ejpam-5005	469	12	,	,	PUNCT
ejpam-5005	469	13	mohamed	mohame	VERB
ejpam-5005	469	14	a	a	DET
ejpam-5005	469	15	abdoon	abdoon	NOUN
ejpam-5005	469	16	,	,	PUNCT
ejpam-5005	469	17	dalal	dalal	PROPN
ejpam-5005	469	18	khalid	khalid	PROPN
ejpam-5005	469	19	almutairi	almutairi	PROPN
ejpam-5005	469	20	,	,	PUNCT
ejpam-5005	469	21	thwiba	thwiba	PROPN
ejpam-5005	469	22	a	a	DET
ejpam-5005	469	23	khalid	khalid	PROPN
ejpam-5005	469	24	,	,	PUNCT
ejpam-5005	469	25	and	and	CCONJ
ejpam-5005	469	26	adel	adel	PROPN
ejpam-5005	469	27	ouannas	ouannas	PROPN
ejpam-5005	469	28	.	.	PUNCT
ejpam-5005	470	1	general	general	ADJ
ejpam-5005	470	2	methods	method	NOUN
ejpam-5005	470	3	to	to	PART
ejpam-5005	470	4	synchronize	synchronize	VERB
ejpam-5005	470	5	fractional	fractional	ADJ
ejpam-5005	470	6	discrete	discrete	ADJ
ejpam-5005	470	7	reaction	reaction	NOUN
ejpam-5005	470	8	–	–	PUNCT
ejpam-5005	470	9	diffusion	diffusion	NOUN
ejpam-5005	470	10	systems	system	NOUN
ejpam-5005	470	11	applied	apply	VERB
ejpam-5005	470	12	to	to	ADP
ejpam-5005	470	13	the	the	DET
ejpam-5005	470	14	glycolysis	glycolysis	NOUN
ejpam-5005	470	15	model	model	NOUN
ejpam-5005	470	16	.	.	PUNCT
ejpam-5005	471	1	fractal	fractal	PROPN
ejpam-5005	471	2	and	and	CCONJ
ejpam-5005	471	3	fractional	fractional	ADJ
ejpam-5005	471	4	,	,	PUNCT
ejpam-5005	471	5	7(11):828	7(11):828	PROPN
ejpam-5005	471	6	,	,	PUNCT
ejpam-5005	471	7	2023	2023	NUM
ejpam-5005	471	8	.	.	PUNCT
ejpam-5005	472	1	[	[	X
ejpam-5005	472	2	30	30	NUM
ejpam-5005	472	3	]	]	X
ejpam-5005	472	4	amjad	amjad	PROPN
ejpam-5005	472	5	e	e	PROPN
ejpam-5005	472	6	hamza	hamza	PROPN
ejpam-5005	472	7	,	,	PUNCT
ejpam-5005	472	8	abdelilah	abdelilah	PROPN
ejpam-5005	472	9	k	k	PROPN
ejpam-5005	472	10	sedeeg	sedeeg	PROPN
ejpam-5005	472	11	,	,	PUNCT
ejpam-5005	472	12	rania	rania	PROPN
ejpam-5005	472	13	saadeh	saadeh	PROPN
ejpam-5005	472	14	,	,	PUNCT
ejpam-5005	472	15	ahmad	ahmad	PROPN
ejpam-5005	472	16	qazza	qazza	PROPN
ejpam-5005	472	17	,	,	PUNCT
ejpam-5005	472	18	and	and	CCONJ
ejpam-5005	472	19	raed	raed	PROPN
ejpam-5005	472	20	khalil	khalil	PROPN
ejpam-5005	472	21	.	.	PUNCT
ejpam-5005	473	1	a	a	DET
ejpam-5005	473	2	new	new	ADJ
ejpam-5005	473	3	approach	approach	NOUN
ejpam-5005	473	4	in	in	ADP
ejpam-5005	473	5	solving	solve	VERB
ejpam-5005	473	6	regular	regular	ADJ
ejpam-5005	473	7	and	and	CCONJ
ejpam-5005	473	8	singular	singular	ADJ
ejpam-5005	473	9	conformable	conformable	ADJ
ejpam-5005	473	10	fractional	fractional	ADJ
ejpam-5005	473	11	coupled	couple	VERB
ejpam-5005	473	12	burger	burger	NOUN
ejpam-5005	473	13	’s	’s	PART
ejpam-5005	473	14	equations	equation	NOUN
ejpam-5005	473	15	.	.	PUNCT
ejpam-5005	474	1	arxiv	arxiv	PROPN
ejpam-5005	474	2	preprint	preprint	PROPN
ejpam-5005	474	3	arxiv:2306.10030	arxiv:2306.10030	PROPN
ejpam-5005	474	4	,	,	PUNCT
ejpam-5005	474	5	2023	2023	NUM
ejpam-5005	474	6	.	.	PUNCT
ejpam-5005	475	1	[	[	X
ejpam-5005	475	2	31	31	NUM
ejpam-5005	475	3	]	]	PUNCT
ejpam-5005	475	4	faeza	faeza	PROPN
ejpam-5005	475	5	hasan	hasan	PROPN
ejpam-5005	475	6	,	,	PUNCT
ejpam-5005	475	7	mohamed	mohame	VERB
ejpam-5005	475	8	a	a	DET
ejpam-5005	475	9	abdoon	abdoon	NOUN
ejpam-5005	475	10	,	,	PUNCT
ejpam-5005	475	11	rania	rania	PROPN
ejpam-5005	475	12	saadeh	saadeh	PROPN
ejpam-5005	475	13	,	,	PUNCT
ejpam-5005	475	14	mohammed	mohammed	PROPN
ejpam-5005	475	15	berir	berir	PROPN
ejpam-5005	475	16	,	,	PUNCT
ejpam-5005	475	17	and	and	CCONJ
ejpam-5005	475	18	ahmad	ahmad	PROPN
ejpam-5005	475	19	qazza	qazza	PROPN
ejpam-5005	475	20	.	.	PUNCT
ejpam-5005	476	1	a	a	DET
ejpam-5005	476	2	new	new	ADJ
ejpam-5005	476	3	perspective	perspective	NOUN
ejpam-5005	476	4	on	on	ADP
ejpam-5005	476	5	the	the	DET
ejpam-5005	476	6	stochastic	stochastic	ADJ
ejpam-5005	476	7	fractional	fractional	ADJ
ejpam-5005	476	8	order	order	NOUN
ejpam-5005	476	9	materialized	materialize	VERB
ejpam-5005	476	10	by	by	ADP
ejpam-5005	476	11	the	the	DET
ejpam-5005	476	12	exact	exact	ADJ
ejpam-5005	476	13	solutions	solution	NOUN
ejpam-5005	476	14	of	of	ADP
ejpam-5005	476	15	allen	allen	ADJ
ejpam-5005	476	16	-	-	PUNCT
ejpam-5005	476	17	cahn	cahn	NOUN
ejpam-5005	476	18	equation	equation	NOUN
ejpam-5005	476	19	.	.	PUNCT
ejpam-5005	477	1	international	international	ADJ
ejpam-5005	477	2	journal	journal	PROPN
ejpam-5005	477	3	of	of	ADP
ejpam-5005	477	4	mathematical	mathematical	ADJ
ejpam-5005	477	5	,	,	PUNCT
ejpam-5005	477	6	engineering	engineering	NOUN
ejpam-5005	477	7	and	and	CCONJ
ejpam-5005	477	8	management	management	NOUN
ejpam-5005	477	9	sciences	science	NOUN
ejpam-5005	477	10	,	,	PUNCT
ejpam-5005	477	11	8(5):912	8(5):912	NUM
ejpam-5005	477	12	,	,	PUNCT
ejpam-5005	477	13	2023	2023	NUM
ejpam-5005	477	14	.	.	PUNCT
ejpam-5005	478	1	[	[	X
ejpam-5005	478	2	32	32	NUM
ejpam-5005	478	3	]	]	PUNCT
ejpam-5005	478	4	faeza	faeza	ADP
ejpam-5005	478	5	l	l	PROPN
ejpam-5005	478	6	hasan	hasan	PROPN
ejpam-5005	478	7	and	and	CCONJ
ejpam-5005	478	8	mohamed	mohame	VERB
ejpam-5005	478	9	a	a	DET
ejpam-5005	478	10	abdoon	abdoon	NOUN
ejpam-5005	478	11	.	.	PUNCT
ejpam-5005	479	1	the	the	DET
ejpam-5005	479	2	generalized	generalized	ADJ
ejpam-5005	479	3	(	(	PUNCT
ejpam-5005	479	4	2	2	NUM
ejpam-5005	479	5	+	+	NUM
ejpam-5005	479	6	1	1	NUM
ejpam-5005	479	7	)	)	PUNCT
ejpam-5005	479	8	and	and	CCONJ
ejpam-5005	479	9	(	(	PUNCT
ejpam-5005	479	10	3	3	NUM
ejpam-5005	479	11	+	+	NOUN
ejpam-5005	479	12	1)dimensional	1)dimensional	NUM
ejpam-5005	479	13	with	with	ADP
ejpam-5005	479	14	advanced	advanced	ADJ
ejpam-5005	479	15	analytical	analytical	ADJ
ejpam-5005	479	16	wave	wave	NOUN
ejpam-5005	479	17	solutions	solution	NOUN
ejpam-5005	479	18	via	via	ADP
ejpam-5005	479	19	computational	computational	ADJ
ejpam-5005	479	20	applications	application	NOUN
ejpam-5005	479	21	.	.	PUNCT
ejpam-5005	480	1	international	international	ADJ
ejpam-5005	480	2	journal	journal	PROPN
ejpam-5005	480	3	of	of	ADP
ejpam-5005	480	4	nonlinear	nonlinear	ADJ
ejpam-5005	480	5	analysis	analysis	NOUN
ejpam-5005	480	6	and	and	CCONJ
ejpam-5005	480	7	applications	application	NOUN
ejpam-5005	480	8	,	,	PUNCT
ejpam-5005	480	9	12(2):1213–1241	12(2):1213–1241	NUM
ejpam-5005	480	10	,	,	PUNCT
ejpam-5005	480	11	2021	2021	NUM
ejpam-5005	480	12	.	.	PUNCT
ejpam-5005	481	1	references	reference	NOUN
ejpam-5005	481	2	408	408	NUM
ejpam-5005	482	1	[	[	SYM
ejpam-5005	482	2	33	33	NUM
ejpam-5005	482	3	]	]	PUNCT
ejpam-5005	482	4	artion	artion	NOUN
ejpam-5005	482	5	kashuri	kashuri	PROPN
ejpam-5005	482	6	,	,	PUNCT
ejpam-5005	482	7	akli	akli	ADJ
ejpam-5005	482	8	fundo	fundo	NOUN
ejpam-5005	482	9	,	,	PUNCT
ejpam-5005	482	10	and	and	CCONJ
ejpam-5005	482	11	rozana	rozana	PROPN
ejpam-5005	482	12	liko	liko	PROPN
ejpam-5005	482	13	.	.	PUNCT
ejpam-5005	483	1	on	on	ADP
ejpam-5005	483	2	double	double	ADJ
ejpam-5005	483	3	new	new	ADJ
ejpam-5005	483	4	integral	integral	ADJ
ejpam-5005	483	5	transform	transform	NOUN
ejpam-5005	483	6	and	and	CCONJ
ejpam-5005	483	7	double	double	ADJ
ejpam-5005	483	8	laplace	laplace	NOUN
ejpam-5005	483	9	transform	transform	NOUN
ejpam-5005	483	10	.	.	PUNCT
ejpam-5005	484	1	european	european	ADJ
ejpam-5005	484	2	scientific	scientific	ADJ
ejpam-5005	484	3	journal	journal	NOUN
ejpam-5005	484	4	,	,	PUNCT
ejpam-5005	484	5	9(33	9(33	NUM
ejpam-5005	484	6	)	)	PUNCT
ejpam-5005	484	7	,	,	PUNCT
ejpam-5005	484	8	2013	2013	NUM
ejpam-5005	484	9	.	.	PUNCT
ejpam-5005	485	1	[	[	X
ejpam-5005	485	2	34	34	NUM
ejpam-5005	485	3	]	]	X
ejpam-5005	485	4	thwiba	thwiba	PROPN
ejpam-5005	485	5	a	a	DET
ejpam-5005	485	6	khalid	khalid	PROPN
ejpam-5005	485	7	,	,	PUNCT
ejpam-5005	485	8	aymen	aymen	PROPN
ejpam-5005	485	9	imam	imam	PROPN
ejpam-5005	485	10	,	,	PUNCT
ejpam-5005	485	11	abdulgader	abdulgader	ADJ
ejpam-5005	485	12	bahatheg	bahatheg	PROPN
ejpam-5005	485	13	,	,	PUNCT
ejpam-5005	485	14	shahinaz	shahinaz	VERB
ejpam-5005	485	15	a	a	DET
ejpam-5005	485	16	elsamani	elsamani	NOUN
ejpam-5005	485	17	,	,	PUNCT
ejpam-5005	485	18	and	and	CCONJ
ejpam-5005	485	19	bashir	bashir	PROPN
ejpam-5005	485	20	el	el	PROPN
ejpam-5005	485	21	mukhtar	mukhtar	PROPN
ejpam-5005	485	22	.	.	PUNCT
ejpam-5005	486	1	a	a	DET
ejpam-5005	486	2	fractional	fractional	ADJ
ejpam-5005	486	3	epidemiological	epidemiological	ADJ
ejpam-5005	486	4	model	model	NOUN
ejpam-5005	486	5	for	for	ADP
ejpam-5005	486	6	prediction	prediction	NOUN
ejpam-5005	486	7	and	and	CCONJ
ejpam-5005	486	8	simulation	simulation	NOUN
ejpam-5005	486	9	the	the	DET
ejpam-5005	486	10	outbreaks	outbreak	NOUN
ejpam-5005	486	11	of	of	ADP
ejpam-5005	486	12	dengue	dengue	NOUN
ejpam-5005	486	13	fever	fever	NOUN
ejpam-5005	486	14	outbreaks	outbreak	NOUN
ejpam-5005	486	15	in	in	ADP
ejpam-5005	486	16	sudan	sudan	PROPN
ejpam-5005	486	17	.	.	PUNCT
ejpam-5005	487	1	journal	journal	PROPN
ejpam-5005	487	2	of	of	ADP
ejpam-5005	487	3	survey	survey	NOUN
ejpam-5005	487	4	in	in	ADP
ejpam-5005	487	5	fisheries	fishery	NOUN
ejpam-5005	487	6	sciences	sciences	PROPN
ejpam-5005	487	7	,	,	PUNCT
ejpam-5005	487	8	10(3s):2679–2692	10(3s):2679–2692	NUM
ejpam-5005	487	9	,	,	PUNCT
ejpam-5005	487	10	2023	2023	NUM
ejpam-5005	487	11	.	.	PUNCT
ejpam-5005	488	1	[	[	X
ejpam-5005	488	2	35	35	NUM
ejpam-5005	488	3	]	]	X
ejpam-5005	488	4	naol	naol	NOUN
ejpam-5005	488	5	tufa	tufa	PROPN
ejpam-5005	488	6	negero	negero	NOUN
ejpam-5005	488	7	,	,	PUNCT
ejpam-5005	488	8	gemechis	gemechis	NOUN
ejpam-5005	488	9	file	file	NOUN
ejpam-5005	488	10	duressa	duressa	NOUN
ejpam-5005	488	11	,	,	PUNCT
ejpam-5005	488	12	laxmi	laxmi	NOUN
ejpam-5005	488	13	rathour	rathour	NOUN
ejpam-5005	488	14	,	,	PUNCT
ejpam-5005	488	15	and	and	CCONJ
ejpam-5005	488	16	vishnu	vishnu	PROPN
ejpam-5005	488	17	narayan	narayan	PROPN
ejpam-5005	488	18	mishra	mishra	PROPN
ejpam-5005	488	19	.	.	PUNCT
ejpam-5005	489	1	a	a	DET
ejpam-5005	489	2	novel	novel	NOUN
ejpam-5005	489	3	fitted	fit	VERB
ejpam-5005	489	4	numerical	numerical	ADJ
ejpam-5005	489	5	scheme	scheme	NOUN
ejpam-5005	489	6	for	for	ADP
ejpam-5005	489	7	singularly	singularly	ADV
ejpam-5005	489	8	perturbed	perturb	VERB
ejpam-5005	489	9	delay	delay	NOUN
ejpam-5005	489	10	parabolic	parabolic	ADJ
ejpam-5005	489	11	problems	problem	NOUN
ejpam-5005	489	12	with	with	ADP
ejpam-5005	489	13	two	two	NUM
ejpam-5005	489	14	small	small	ADJ
ejpam-5005	489	15	parameters	parameter	NOUN
ejpam-5005	489	16	.	.	PUNCT
ejpam-5005	490	1	partial	partial	ADJ
ejpam-5005	490	2	differential	differential	ADJ
ejpam-5005	490	3	equations	equation	NOUN
ejpam-5005	490	4	in	in	ADP
ejpam-5005	490	5	applied	applied	ADJ
ejpam-5005	490	6	mathematics	mathematic	NOUN
ejpam-5005	490	7	,	,	PUNCT
ejpam-5005	490	8	8:100546	8:100546	NUM
ejpam-5005	490	9	,	,	PUNCT
ejpam-5005	490	10	2023	2023	NUM
ejpam-5005	490	11	.	.	PUNCT
ejpam-5005	491	1	[	[	X
ejpam-5005	491	2	36	36	NUM
ejpam-5005	491	3	]	]	X
ejpam-5005	491	4	rosemary	rosemary	ADJ
ejpam-5005	491	5	o	o	NOUN
ejpam-5005	491	6	ogbumba	ogbumba	ADV
ejpam-5005	491	7	,	,	PUNCT
ejpam-5005	491	8	mohammed	mohammed	PROPN
ejpam-5005	491	9	shehu	shehu	PROPN
ejpam-5005	491	10	shagari	shagari	PROPN
ejpam-5005	491	11	,	,	PUNCT
ejpam-5005	491	12	monairah	monairah	PROPN
ejpam-5005	491	13	alansari	alansari	PROPN
ejpam-5005	491	14	,	,	PUNCT
ejpam-5005	491	15	thwiba	thwiba	PROPN
ejpam-5005	491	16	a	a	DET
ejpam-5005	491	17	khalid	khalid	PROPN
ejpam-5005	491	18	,	,	PUNCT
ejpam-5005	491	19	elsayed	elsaye	VERB
ejpam-5005	491	20	ae	ae	PROPN
ejpam-5005	491	21	mohamed	mohamed	PROPN
ejpam-5005	491	22	,	,	PUNCT
ejpam-5005	491	23	and	and	CCONJ
ejpam-5005	491	24	awad	awad	VERB
ejpam-5005	491	25	a	a	DET
ejpam-5005	491	26	bakery	bakery	NOUN
ejpam-5005	491	27	.	.	PUNCT
ejpam-5005	492	1	advancements	advancement	NOUN
ejpam-5005	492	2	in	in	ADP
ejpam-5005	492	3	hybrid	hybrid	ADJ
ejpam-5005	492	4	fixed	fix	VERB
ejpam-5005	492	5	point	point	NOUN
ejpam-5005	492	6	results	result	NOUN
ejpam-5005	492	7	and	and	CCONJ
ejpam-5005	492	8	f	f	X
ejpam-5005	492	9	-	-	PUNCT
ejpam-5005	492	10	contractive	contractive	ADJ
ejpam-5005	492	11	operators	operator	NOUN
ejpam-5005	492	12	.	.	PUNCT
ejpam-5005	493	1	symmetry	symmetry	NOUN
ejpam-5005	493	2	,	,	PUNCT
ejpam-5005	493	3	15(6):1253	15(6):1253	NUM
ejpam-5005	493	4	,	,	PUNCT
ejpam-5005	493	5	2023	2023	NUM
ejpam-5005	493	6	.	.	PUNCT
ejpam-5005	494	1	[	[	X
ejpam-5005	494	2	37	37	NUM
ejpam-5005	494	3	]	]	X
ejpam-5005	494	4	brad	brad	PROPN
ejpam-5005	494	5	g	g	PROPN
ejpam-5005	494	6	osgood	osgood	PROPN
ejpam-5005	494	7	.	.	PUNCT
ejpam-5005	495	1	lectures	lecture	NOUN
ejpam-5005	495	2	on	on	ADP
ejpam-5005	495	3	the	the	DET
ejpam-5005	495	4	fourier	fourier	NOUN
ejpam-5005	495	5	transform	transform	NOUN
ejpam-5005	495	6	and	and	CCONJ
ejpam-5005	495	7	its	its	PRON
ejpam-5005	495	8	applications	application	NOUN
ejpam-5005	495	9	,	,	PUNCT
ejpam-5005	495	10	volume	volume	NOUN
ejpam-5005	495	11	33	33	NUM
ejpam-5005	495	12	.	.	PUNCT
ejpam-5005	496	1	american	american	PROPN
ejpam-5005	496	2	mathematical	mathematical	PROPN
ejpam-5005	496	3	soc	soc	PROPN
ejpam-5005	496	4	.	.	PUNCT
ejpam-5005	496	5	,	,	PUNCT
ejpam-5005	496	6	2019	2019	NUM
ejpam-5005	496	7	.	.	PUNCT
ejpam-5005	497	1	[	[	X
ejpam-5005	497	2	38	38	NUM
ejpam-5005	497	3	]	]	X
ejpam-5005	497	4	vijai	vijai	PROPN
ejpam-5005	497	5	kumar	kumar	PROPN
ejpam-5005	497	6	pathak	pathak	PROPN
ejpam-5005	497	7	,	,	PUNCT
ejpam-5005	497	8	lakshmi	lakshmi	PROPN
ejpam-5005	497	9	narayan	narayan	PROPN
ejpam-5005	497	10	mishra	mishra	PROPN
ejpam-5005	497	11	,	,	PUNCT
ejpam-5005	497	12	and	and	CCONJ
ejpam-5005	497	13	vishnu	vishnu	PROPN
ejpam-5005	497	14	narayan	narayan	PROPN
ejpam-5005	497	15	mishra	mishra	PROPN
ejpam-5005	497	16	.	.	PROPN
ejpam-5005	498	1	on	on	ADP
ejpam-5005	498	2	the	the	DET
ejpam-5005	498	3	solvability	solvability	NOUN
ejpam-5005	498	4	of	of	ADP
ejpam-5005	498	5	a	a	DET
ejpam-5005	498	6	class	class	NOUN
ejpam-5005	498	7	of	of	ADP
ejpam-5005	498	8	nonlinear	nonlinear	ADJ
ejpam-5005	498	9	functional	functional	ADJ
ejpam-5005	498	10	integral	integral	ADJ
ejpam-5005	498	11	equations	equation	NOUN
ejpam-5005	498	12	involving	involve	VERB
ejpam-5005	498	13	erdélyi	erdélyi	PROPN
ejpam-5005	498	14	–	–	PUNCT
ejpam-5005	498	15	kober	kober	NOUN
ejpam-5005	498	16	fractional	fractional	ADJ
ejpam-5005	498	17	operator	operator	NOUN
ejpam-5005	498	18	.	.	PUNCT
ejpam-5005	499	1	mathematical	mathematical	ADJ
ejpam-5005	499	2	methods	method	NOUN
ejpam-5005	499	3	in	in	ADP
ejpam-5005	499	4	the	the	DET
ejpam-5005	499	5	applied	apply	VERB
ejpam-5005	499	6	sciences	science	NOUN
ejpam-5005	499	7	,	,	PUNCT
ejpam-5005	499	8	2023	2023	NUM
ejpam-5005	499	9	.	.	PUNCT
ejpam-5005	500	1	[	[	X
ejpam-5005	500	2	39	39	NUM
ejpam-5005	500	3	]	]	PUNCT
ejpam-5005	500	4	supriya	supriya	PROPN
ejpam-5005	500	5	kumar	kumar	PROPN
ejpam-5005	500	6	paul	paul	PROPN
ejpam-5005	500	7	,	,	PUNCT
ejpam-5005	500	8	lakshmi	lakshmi	PROPN
ejpam-5005	500	9	narayan	narayan	PROPN
ejpam-5005	500	10	mishra	mishra	PROPN
ejpam-5005	500	11	,	,	PUNCT
ejpam-5005	500	12	and	and	CCONJ
ejpam-5005	500	13	vishnu	vishnu	PROPN
ejpam-5005	500	14	narayan	narayan	PROPN
ejpam-5005	500	15	mishra	mishra	PROPN
ejpam-5005	500	16	.	.	PROPN
ejpam-5005	500	17	approximate	approximate	PROPN
ejpam-5005	500	18	numerical	numerical	PROPN
ejpam-5005	500	19	solutions	solution	NOUN
ejpam-5005	500	20	of	of	ADP
ejpam-5005	500	21	fractional	fractional	ADJ
ejpam-5005	500	22	integral	integral	ADJ
ejpam-5005	500	23	equations	equation	NOUN
ejpam-5005	500	24	using	use	VERB
ejpam-5005	500	25	laguerre	laguerre	NOUN
ejpam-5005	500	26	and	and	CCONJ
ejpam-5005	500	27	touchard	touchard	NOUN
ejpam-5005	500	28	polynomials	polynomial	NOUN
ejpam-5005	500	29	.	.	PUNCT
ejpam-5005	501	1	palestine	palestine	PROPN
ejpam-5005	501	2	journal	journal	PROPN
ejpam-5005	501	3	of	of	ADP
ejpam-5005	501	4	mathematics	mathematic	NOUN
ejpam-5005	501	5	,	,	PUNCT
ejpam-5005	501	6	12(3	12(3	NUM
ejpam-5005	501	7	)	)	PUNCT
ejpam-5005	501	8	,	,	PUNCT
ejpam-5005	501	9	2023	2023	NUM
ejpam-5005	501	10	.	.	PUNCT
ejpam-5005	502	1	[	[	X
ejpam-5005	502	2	40	40	NUM
ejpam-5005	502	3	]	]	PUNCT
ejpam-5005	502	4	supriya	supriya	PROPN
ejpam-5005	502	5	kumar	kumar	PROPN
ejpam-5005	502	6	paul	paul	PROPN
ejpam-5005	502	7	,	,	PUNCT
ejpam-5005	502	8	lakshmi	lakshmi	PROPN
ejpam-5005	502	9	narayan	narayan	PROPN
ejpam-5005	502	10	mishra	mishra	PROPN
ejpam-5005	502	11	,	,	PUNCT
ejpam-5005	502	12	vishnu	vishnu	PROPN
ejpam-5005	502	13	narayan	narayan	PROPN
ejpam-5005	502	14	mishra	mishra	PROPN
ejpam-5005	502	15	,	,	PUNCT
ejpam-5005	502	16	and	and	CCONJ
ejpam-5005	502	17	dumitru	dumitru	PROPN
ejpam-5005	502	18	baleanu	baleanu	NOUN
ejpam-5005	502	19	.	.	PUNCT
ejpam-5005	503	1	analysis	analysis	NOUN
ejpam-5005	503	2	of	of	ADP
ejpam-5005	503	3	mixed	mixed	ADJ
ejpam-5005	503	4	type	type	NOUN
ejpam-5005	503	5	nonlinear	nonlinear	PROPN
ejpam-5005	503	6	volterra	volterra	PROPN
ejpam-5005	503	7	–	–	PUNCT
ejpam-5005	503	8	fredholm	fredholm	ADJ
ejpam-5005	503	9	integral	integral	ADJ
ejpam-5005	503	10	equations	equation	NOUN
ejpam-5005	503	11	involving	involve	VERB
ejpam-5005	503	12	the	the	DET
ejpam-5005	503	13	erdélyi	erdélyi	PROPN
ejpam-5005	503	14	–	–	PUNCT
ejpam-5005	503	15	kober	kober	NOUN
ejpam-5005	503	16	fractional	fractional	ADJ
ejpam-5005	503	17	operator	operator	NOUN
ejpam-5005	503	18	.	.	PUNCT
ejpam-5005	504	1	journal	journal	PROPN
ejpam-5005	504	2	of	of	ADP
ejpam-5005	504	3	king	king	PROPN
ejpam-5005	504	4	saud	saud	PROPN
ejpam-5005	504	5	universityscience	universityscience	PROPN
ejpam-5005	504	6	,	,	PUNCT
ejpam-5005	504	7	35(10):102949	35(10):102949	NUM
ejpam-5005	504	8	,	,	PUNCT
ejpam-5005	504	9	2023	2023	NUM
ejpam-5005	504	10	.	.	PUNCT
ejpam-5005	505	1	[	[	X
ejpam-5005	505	2	41	41	NUM
ejpam-5005	505	3	]	]	X
ejpam-5005	505	4	ahmad	ahmad	PROPN
ejpam-5005	505	5	qazza	qazza	PROPN
ejpam-5005	505	6	,	,	PUNCT
ejpam-5005	505	7	mohamed	mohamed	PROPN
ejpam-5005	505	8	abdoon	abdoon	PROPN
ejpam-5005	505	9	,	,	PUNCT
ejpam-5005	505	10	rania	rania	PROPN
ejpam-5005	505	11	saadeh	saadeh	PROPN
ejpam-5005	505	12	,	,	PUNCT
ejpam-5005	505	13	and	and	CCONJ
ejpam-5005	505	14	mohammed	mohammed	PROPN
ejpam-5005	505	15	berir	berir	PROPN
ejpam-5005	505	16	.	.	PUNCT
ejpam-5005	506	1	a	a	DET
ejpam-5005	506	2	new	new	ADJ
ejpam-5005	506	3	scheme	scheme	NOUN
ejpam-5005	506	4	for	for	ADP
ejpam-5005	506	5	solving	solve	VERB
ejpam-5005	506	6	a	a	DET
ejpam-5005	506	7	fractional	fractional	ADJ
ejpam-5005	506	8	differential	differential	ADJ
ejpam-5005	506	9	equation	equation	NOUN
ejpam-5005	506	10	and	and	CCONJ
ejpam-5005	506	11	a	a	DET
ejpam-5005	506	12	chaotic	chaotic	ADJ
ejpam-5005	506	13	system	system	NOUN
ejpam-5005	506	14	.	.	PUNCT
ejpam-5005	507	1	european	european	PROPN
ejpam-5005	507	2	journal	journal	PROPN
ejpam-5005	507	3	of	of	ADP
ejpam-5005	507	4	pure	pure	ADJ
ejpam-5005	507	5	and	and	CCONJ
ejpam-5005	507	6	applied	applied	ADJ
ejpam-5005	507	7	mathematics	mathematic	NOUN
ejpam-5005	507	8	,	,	PUNCT
ejpam-5005	507	9	16(2):1128–1139	16(2):1128–1139	NUM
ejpam-5005	507	10	,	,	PUNCT
ejpam-5005	507	11	2023	2023	NUM
ejpam-5005	507	12	.	.	PUNCT
ejpam-5005	508	1	[	[	X
ejpam-5005	508	2	42	42	NUM
ejpam-5005	508	3	]	]	X
ejpam-5005	508	4	ahmad	ahmad	PROPN
ejpam-5005	508	5	qazza	qazza	PROPN
ejpam-5005	508	6	,	,	PUNCT
ejpam-5005	508	7	aliaa	aliaa	PROPN
ejpam-5005	508	8	burqan	burqan	NOUN
ejpam-5005	508	9	,	,	PUNCT
ejpam-5005	508	10	rania	rania	PROPN
ejpam-5005	508	11	saadeh	saadeh	PROPN
ejpam-5005	508	12	,	,	PUNCT
ejpam-5005	508	13	and	and	CCONJ
ejpam-5005	508	14	raed	raed	PROPN
ejpam-5005	508	15	khalil	khalil	PROPN
ejpam-5005	508	16	.	.	PUNCT
ejpam-5005	509	1	applications	application	NOUN
ejpam-5005	509	2	on	on	ADP
ejpam-5005	509	3	double	double	ADJ
ejpam-5005	509	4	ara	ara	NOUN
ejpam-5005	509	5	–	–	PUNCT
ejpam-5005	509	6	sumudu	sumudu	NOUN
ejpam-5005	509	7	transform	transform	NOUN
ejpam-5005	509	8	in	in	ADP
ejpam-5005	509	9	solving	solve	VERB
ejpam-5005	509	10	fractional	fractional	ADJ
ejpam-5005	509	11	partial	partial	ADJ
ejpam-5005	509	12	differential	differential	NOUN
ejpam-5005	509	13	equations	equation	NOUN
ejpam-5005	509	14	.	.	PUNCT
ejpam-5005	510	1	symmetry	symmetry	PROPN
ejpam-5005	510	2	,	,	PUNCT
ejpam-5005	510	3	14(9):1817	14(9):1817	NUM
ejpam-5005	510	4	,	,	PUNCT
ejpam-5005	510	5	2022	2022	NUM
ejpam-5005	510	6	.	.	PUNCT
ejpam-5005	511	1	[	[	X
ejpam-5005	511	2	43	43	NUM
ejpam-5005	511	3	]	]	X
ejpam-5005	511	4	sania	sania	PROPN
ejpam-5005	511	5	qureshi	qureshi	PROPN
ejpam-5005	511	6	,	,	PUNCT
ejpam-5005	511	7	abdullahi	abdullahi	PROPN
ejpam-5005	511	8	yusuf	yusuf	PROPN
ejpam-5005	511	9	,	,	PUNCT
ejpam-5005	511	10	and	and	CCONJ
ejpam-5005	511	11	shaheen	shaheen	PROPN
ejpam-5005	511	12	aziz	aziz	PROPN
ejpam-5005	511	13	.	.	PUNCT
ejpam-5005	512	1	on	on	ADP
ejpam-5005	512	2	the	the	DET
ejpam-5005	512	3	use	use	NOUN
ejpam-5005	512	4	of	of	ADP
ejpam-5005	512	5	mohand	mohand	ADJ
ejpam-5005	512	6	integral	integral	ADJ
ejpam-5005	512	7	transform	transform	NOUN
ejpam-5005	512	8	for	for	ADP
ejpam-5005	512	9	solving	solve	VERB
ejpam-5005	512	10	fractional	fractional	ADJ
ejpam-5005	512	11	-	-	PUNCT
ejpam-5005	512	12	order	order	NOUN
ejpam-5005	512	13	classical	classical	ADJ
ejpam-5005	512	14	caputo	caputo	PROPN
ejpam-5005	512	15	differential	differential	PROPN
ejpam-5005	512	16	equations	equation	NOUN
ejpam-5005	512	17	.	.	PUNCT
ejpam-5005	513	1	2020	2020	NUM
ejpam-5005	513	2	.	.	PUNCT
ejpam-5005	514	1	[	[	X
ejpam-5005	514	2	44	44	NUM
ejpam-5005	514	3	]	]	PUNCT
ejpam-5005	514	4	kenneth	kenneth	PROPN
ejpam-5005	514	5	franklin	franklin	PROPN
ejpam-5005	514	6	riley	riley	PROPN
ejpam-5005	514	7	,	,	PUNCT
ejpam-5005	514	8	michael	michael	PROPN
ejpam-5005	514	9	paul	paul	PROPN
ejpam-5005	514	10	hobson	hobson	PROPN
ejpam-5005	514	11	,	,	PUNCT
ejpam-5005	514	12	and	and	CCONJ
ejpam-5005	514	13	stephen	stephen	PROPN
ejpam-5005	514	14	john	john	PROPN
ejpam-5005	514	15	bence	bence	PROPN
ejpam-5005	514	16	.	.	PUNCT
ejpam-5005	515	1	mathematical	mathematical	ADJ
ejpam-5005	515	2	methods	method	NOUN
ejpam-5005	515	3	for	for	ADP
ejpam-5005	515	4	physics	physics	NOUN
ejpam-5005	515	5	and	and	CCONJ
ejpam-5005	515	6	engineering	engineering	NOUN
ejpam-5005	515	7	,	,	PUNCT
ejpam-5005	515	8	1999	1999	NUM
ejpam-5005	515	9	.	.	PUNCT
ejpam-5005	516	1	references	reference	NOUN
ejpam-5005	516	2	409	409	NUM
ejpam-5005	516	3	[	[	X
ejpam-5005	516	4	45	45	NUM
ejpam-5005	516	5	]	]	X
ejpam-5005	516	6	r	r	NOUN
ejpam-5005	516	7	saadeh	saadeh	NOUN
ejpam-5005	516	8	.	.	PUNCT
ejpam-5005	517	1	applications	application	NOUN
ejpam-5005	517	2	of	of	ADP
ejpam-5005	517	3	double	double	ADJ
ejpam-5005	517	4	ara	ara	ADJ
ejpam-5005	517	5	integral	integral	ADJ
ejpam-5005	517	6	transform	transform	NOUN
ejpam-5005	517	7	.	.	PUNCT
ejpam-5005	518	1	computation	computation	NOUN
ejpam-5005	518	2	2022	2022	NUM
ejpam-5005	518	3	,	,	PUNCT
ejpam-5005	518	4	10	10	NUM
ejpam-5005	518	5	,	,	PUNCT
ejpam-5005	518	6	216	216	NUM
ejpam-5005	518	7	,	,	PUNCT
ejpam-5005	518	8	2022	2022	NUM
ejpam-5005	518	9	.	.	PUNCT
ejpam-5005	519	1	[	[	X
ejpam-5005	519	2	46	46	NUM
ejpam-5005	519	3	]	]	X
ejpam-5005	519	4	rania	rania	PROPN
ejpam-5005	519	5	saadeh	saadeh	PROPN
ejpam-5005	519	6	.	.	PUNCT
ejpam-5005	520	1	numerical	numerical	ADJ
ejpam-5005	520	2	algorithm	algorithm	PROPN
ejpam-5005	520	3	to	to	PART
ejpam-5005	520	4	solve	solve	VERB
ejpam-5005	520	5	a	a	DET
ejpam-5005	520	6	coupled	couple	VERB
ejpam-5005	520	7	system	system	NOUN
ejpam-5005	520	8	of	of	ADP
ejpam-5005	520	9	fractional	fractional	ADJ
ejpam-5005	520	10	order	order	NOUN
ejpam-5005	520	11	using	use	VERB
ejpam-5005	520	12	a	a	DET
ejpam-5005	520	13	novel	novel	ADJ
ejpam-5005	520	14	reproducing	reproduce	VERB
ejpam-5005	520	15	kernel	kernel	NOUN
ejpam-5005	520	16	method	method	NOUN
ejpam-5005	520	17	.	.	PUNCT
ejpam-5005	521	1	alexandria	alexandria	PROPN
ejpam-5005	521	2	engineering	engineering	PROPN
ejpam-5005	521	3	journal	journal	PROPN
ejpam-5005	521	4	,	,	PUNCT
ejpam-5005	521	5	60(5):4583–4591	60(5):4583–4591	NOUN
ejpam-5005	521	6	,	,	PUNCT
ejpam-5005	521	7	2021	2021	NUM
ejpam-5005	521	8	.	.	PUNCT
ejpam-5005	522	1	[	[	X
ejpam-5005	522	2	47	47	NUM
ejpam-5005	522	3	]	]	X
ejpam-5005	522	4	rania	rania	PROPN
ejpam-5005	522	5	saadeh	saadeh	PROPN
ejpam-5005	522	6	.	.	PUNCT
ejpam-5005	523	1	numerical	numerical	ADJ
ejpam-5005	523	2	algorithm	algorithm	PROPN
ejpam-5005	523	3	to	to	PART
ejpam-5005	523	4	solve	solve	VERB
ejpam-5005	523	5	a	a	DET
ejpam-5005	523	6	coupled	couple	VERB
ejpam-5005	523	7	system	system	NOUN
ejpam-5005	523	8	of	of	ADP
ejpam-5005	523	9	fractional	fractional	ADJ
ejpam-5005	523	10	order	order	NOUN
ejpam-5005	523	11	using	use	VERB
ejpam-5005	523	12	a	a	DET
ejpam-5005	523	13	novel	novel	ADJ
ejpam-5005	523	14	reproducing	reproduce	VERB
ejpam-5005	523	15	kernel	kernel	NOUN
ejpam-5005	523	16	method	method	NOUN
ejpam-5005	523	17	.	.	PUNCT
ejpam-5005	524	1	alexandria	alexandria	PROPN
ejpam-5005	524	2	engineering	engineering	PROPN
ejpam-5005	524	3	journal	journal	PROPN
ejpam-5005	524	4	,	,	PUNCT
ejpam-5005	524	5	60(5):4583–4591	60(5):4583–4591	NOUN
ejpam-5005	524	6	,	,	PUNCT
ejpam-5005	524	7	2021	2021	NUM
ejpam-5005	524	8	.	.	PUNCT
ejpam-5005	525	1	[	[	X
ejpam-5005	525	2	48	48	NUM
ejpam-5005	525	3	]	]	X
ejpam-5005	525	4	rania	rania	PROPN
ejpam-5005	525	5	saadeh	saadeh	PROPN
ejpam-5005	525	6	.	.	PUNCT
ejpam-5005	526	1	analytic	analytic	ADJ
ejpam-5005	526	2	computational	computational	ADJ
ejpam-5005	526	3	method	method	NOUN
ejpam-5005	526	4	for	for	ADP
ejpam-5005	526	5	solving	solve	VERB
ejpam-5005	526	6	fractional	fractional	ADJ
ejpam-5005	526	7	nonlinear	nonlinear	ADJ
ejpam-5005	526	8	equations	equation	NOUN
ejpam-5005	526	9	in	in	ADP
ejpam-5005	526	10	magneto	magneto	ADJ
ejpam-5005	526	11	-	-	PUNCT
ejpam-5005	526	12	acoustic	acoustic	ADJ
ejpam-5005	526	13	waves	wave	NOUN
ejpam-5005	526	14	.	.	PUNCT
ejpam-5005	527	1	wseas	wseas	VERB
ejpam-5005	527	2	transactions	transaction	NOUN
ejpam-5005	527	3	on	on	ADP
ejpam-5005	527	4	fluid	fluid	ADJ
ejpam-5005	527	5	mechanics	mechanic	NOUN
ejpam-5005	527	6	,	,	PUNCT
ejpam-5005	527	7	17:241	17:241	NUM
ejpam-5005	527	8	–	–	PUNCT
ejpam-5005	527	9	254	254	NUM
ejpam-5005	527	10	,	,	PUNCT
ejpam-5005	527	11	2022	2022	NUM
ejpam-5005	527	12	.	.	PUNCT
ejpam-5005	528	1	[	[	X
ejpam-5005	528	2	49	49	NUM
ejpam-5005	528	3	]	]	X
ejpam-5005	528	4	rania	rania	PROPN
ejpam-5005	528	5	saadeh	saadeh	PROPN
ejpam-5005	528	6	,	,	PUNCT
ejpam-5005	528	7	ahmad	ahmad	PROPN
ejpam-5005	528	8	qazza	qazza	PROPN
ejpam-5005	528	9	,	,	PUNCT
ejpam-5005	528	10	and	and	CCONJ
ejpam-5005	528	11	aliaa	aliaa	VERB
ejpam-5005	528	12	burqan	burqan	NOUN
ejpam-5005	528	13	.	.	PUNCT
ejpam-5005	529	1	a	a	DET
ejpam-5005	529	2	new	new	ADJ
ejpam-5005	529	3	integral	integral	ADJ
ejpam-5005	529	4	transform	transform	NOUN
ejpam-5005	529	5	:	:	PUNCT
ejpam-5005	529	6	ara	ara	NOUN
ejpam-5005	529	7	transform	transform	NOUN
ejpam-5005	529	8	and	and	CCONJ
ejpam-5005	529	9	its	its	PRON
ejpam-5005	529	10	properties	property	NOUN
ejpam-5005	529	11	and	and	CCONJ
ejpam-5005	529	12	applications	application	NOUN
ejpam-5005	529	13	.	.	PUNCT
ejpam-5005	530	1	symmetry	symmetry	NOUN
ejpam-5005	530	2	,	,	PUNCT
ejpam-5005	530	3	12(6):925	12(6):925	NUM
ejpam-5005	530	4	,	,	PUNCT
ejpam-5005	530	5	2020	2020	NUM
ejpam-5005	530	6	.	.	PUNCT
ejpam-5005	531	1	[	[	X
ejpam-5005	531	2	50	50	NUM
ejpam-5005	531	3	]	]	X
ejpam-5005	531	4	rania	rania	PROPN
ejpam-5005	531	5	saadeh	saadeh	PROPN
ejpam-5005	531	6	,	,	PUNCT
ejpam-5005	531	7	ahmad	ahmad	PROPN
ejpam-5005	531	8	qazza	qazza	PROPN
ejpam-5005	531	9	,	,	PUNCT
ejpam-5005	531	10	and	and	CCONJ
ejpam-5005	531	11	aliaa	aliaa	VERB
ejpam-5005	531	12	burqan	burqan	NOUN
ejpam-5005	531	13	.	.	PUNCT
ejpam-5005	532	1	a	a	DET
ejpam-5005	532	2	new	new	ADJ
ejpam-5005	532	3	integral	integral	ADJ
ejpam-5005	532	4	transform	transform	NOUN
ejpam-5005	532	5	:	:	PUNCT
ejpam-5005	532	6	ara	ara	NOUN
ejpam-5005	532	7	transform	transform	NOUN
ejpam-5005	532	8	and	and	CCONJ
ejpam-5005	532	9	its	its	PRON
ejpam-5005	532	10	properties	property	NOUN
ejpam-5005	532	11	and	and	CCONJ
ejpam-5005	532	12	applications	application	NOUN
ejpam-5005	532	13	.	.	PUNCT
ejpam-5005	533	1	symmetry	symmetry	NOUN
ejpam-5005	533	2	,	,	PUNCT
ejpam-5005	533	3	12(6):925	12(6):925	NUM
ejpam-5005	533	4	,	,	PUNCT
ejpam-5005	533	5	2020	2020	NUM
ejpam-5005	533	6	.	.	PUNCT
ejpam-5005	534	1	[	[	X
ejpam-5005	534	2	51	51	NUM
ejpam-5005	534	3	]	]	X
ejpam-5005	534	4	rania	rania	PROPN
ejpam-5005	534	5	saadeh	saadeh	PROPN
ejpam-5005	534	6	,	,	PUNCT
ejpam-5005	534	7	abdelilah	abdelilah	PROPN
ejpam-5005	534	8	k	k	PROPN
ejpam-5005	534	9	sedeeg	sedeeg	PROPN
ejpam-5005	534	10	,	,	PUNCT
ejpam-5005	534	11	bayan	bayan	PROPN
ejpam-5005	534	12	ghazal	ghazal	PROPN
ejpam-5005	534	13	,	,	PUNCT
ejpam-5005	534	14	and	and	CCONJ
ejpam-5005	534	15	gharib	gharib	PROPN
ejpam-5005	534	16	gharib	gharib	PROPN
ejpam-5005	534	17	.	.	PUNCT
ejpam-5005	534	18	double	double	ADJ
ejpam-5005	534	19	formable	formable	ADJ
ejpam-5005	534	20	integral	integral	ADJ
ejpam-5005	534	21	transform	transform	NOUN
ejpam-5005	534	22	for	for	ADP
ejpam-5005	534	23	solving	solve	VERB
ejpam-5005	534	24	heat	heat	NOUN
ejpam-5005	534	25	equations	equation	NOUN
ejpam-5005	534	26	.	.	PUNCT
ejpam-5005	535	1	symmetry	symmetry	NOUN
ejpam-5005	535	2	,	,	PUNCT
ejpam-5005	535	3	15(1):218	15(1):218	NUM
ejpam-5005	535	4	,	,	PUNCT
ejpam-5005	535	5	2023	2023	NUM
ejpam-5005	535	6	.	.	PUNCT
ejpam-5005	536	1	[	[	X
ejpam-5005	536	2	52	52	NUM
ejpam-5005	536	3	]	]	X
ejpam-5005	536	4	rania	rania	PROPN
ejpam-5005	536	5	zohair	zohair	PROPN
ejpam-5005	536	6	saadeh	saadeh	PROPN
ejpam-5005	536	7	and	and	CCONJ
ejpam-5005	536	8	bayan	bayan	PROPN
ejpam-5005	536	9	fu’ad	fu’ad	PROPN
ejpam-5005	536	10	ghazal	ghazal	PROPN
ejpam-5005	536	11	.	.	PUNCT
ejpam-5005	537	1	a	a	DET
ejpam-5005	537	2	new	new	ADJ
ejpam-5005	537	3	approach	approach	NOUN
ejpam-5005	537	4	on	on	ADP
ejpam-5005	537	5	transforms	transform	NOUN
ejpam-5005	537	6	:	:	PUNCT
ejpam-5005	537	7	formable	formable	ADJ
ejpam-5005	537	8	integral	integral	ADJ
ejpam-5005	537	9	transform	transform	NOUN
ejpam-5005	537	10	and	and	CCONJ
ejpam-5005	537	11	its	its	PRON
ejpam-5005	537	12	applications	application	NOUN
ejpam-5005	537	13	.	.	PUNCT
ejpam-5005	538	1	axioms	axiom	NOUN
ejpam-5005	538	2	,	,	PUNCT
ejpam-5005	538	3	10(4):332	10(4):332	NUM
ejpam-5005	538	4	,	,	PUNCT
ejpam-5005	538	5	2021	2021	NUM
ejpam-5005	538	6	.	.	PUNCT
ejpam-5005	539	1	[	[	X
ejpam-5005	539	2	53	53	NUM
ejpam-5005	539	3	]	]	PUNCT
ejpam-5005	539	4	abdelilah	abdelilah	PROPN
ejpam-5005	539	5	kamal	kamal	PROPN
ejpam-5005	539	6	sedeeg	sedeeg	PROPN
ejpam-5005	539	7	,	,	PUNCT
ejpam-5005	539	8	zahra	zahra	PROPN
ejpam-5005	539	9	mahamoud	mahamoud	PROPN
ejpam-5005	539	10	,	,	PUNCT
ejpam-5005	539	11	rania	rania	PROPN
ejpam-5005	539	12	saadeh	saadeh	PROPN
ejpam-5005	539	13	,	,	PUNCT
ejpam-5005	539	14	et	et	PROPN
ejpam-5005	539	15	al	al	PROPN
ejpam-5005	539	16	.	.	PUNCT
ejpam-5005	539	17	using	use	VERB
ejpam-5005	539	18	double	double	ADJ
ejpam-5005	539	19	integral	integral	ADJ
ejpam-5005	539	20	transform	transform	NOUN
ejpam-5005	539	21	(	(	PUNCT
ejpam-5005	539	22	laplace	laplace	NOUN
ejpam-5005	539	23	-	-	PUNCT
ejpam-5005	539	24	ara	ara	NOUN
ejpam-5005	539	25	transform	transform	NOUN
ejpam-5005	539	26	)	)	PUNCT
ejpam-5005	539	27	in	in	ADP
ejpam-5005	539	28	solving	solve	VERB
ejpam-5005	539	29	partial	partial	ADJ
ejpam-5005	539	30	differential	differential	NOUN
ejpam-5005	539	31	equations	equation	NOUN
ejpam-5005	539	32	.	.	PUNCT
ejpam-5005	540	1	symmetry	symmetry	PROPN
ejpam-5005	540	2	,	,	PUNCT
ejpam-5005	540	3	14(11):2418	14(11):2418	NUM
ejpam-5005	540	4	,	,	PUNCT
ejpam-5005	540	5	2022	2022	NUM
ejpam-5005	540	6	.	.	PUNCT
ejpam-5005	541	1	[	[	X
ejpam-5005	541	2	54	54	NUM
ejpam-5005	541	3	]	]	PUNCT
ejpam-5005	541	4	nisha	nisha	PROPN
ejpam-5005	541	5	sharma	sharma	PROPN
ejpam-5005	541	6	,	,	PUNCT
ejpam-5005	541	7	lakshmi	lakshmi	PROPN
ejpam-5005	541	8	narayan	narayan	PROPN
ejpam-5005	541	9	mishra	mishra	PROPN
ejpam-5005	541	10	,	,	PUNCT
ejpam-5005	541	11	vishnu	vishnu	PROPN
ejpam-5005	541	12	narayan	narayan	PROPN
ejpam-5005	541	13	mishra	mishra	PROPN
ejpam-5005	541	14	,	,	PUNCT
ejpam-5005	541	15	and	and	CCONJ
ejpam-5005	541	16	shikha	shikha	PROPN
ejpam-5005	541	17	pandey	pandey	PROPN
ejpam-5005	541	18	.	.	PUNCT
ejpam-5005	541	19	solution	solution	NOUN
ejpam-5005	541	20	of	of	ADP
ejpam-5005	541	21	delay	delay	NOUN
ejpam-5005	541	22	differential	differential	ADJ
ejpam-5005	541	23	equation	equation	NOUN
ejpam-5005	541	24	via	via	ADP
ejpam-5005	541	25	nˆ	nˆ	PROPN
ejpam-5005	541	26	v	v	NUM
ejpam-5005	541	27	1	1	NUM
ejpam-5005	541	28	iteration	iteration	NOUN
ejpam-5005	541	29	algorithm	algorithm	NOUN
ejpam-5005	541	30	.	.	PUNCT
ejpam-5005	542	1	european	european	ADJ
ejpam-5005	542	2	journal	journal	PROPN
ejpam-5005	542	3	of	of	ADP
ejpam-5005	542	4	pure	pure	ADJ
ejpam-5005	542	5	and	and	CCONJ
ejpam-5005	542	6	applied	applied	ADJ
ejpam-5005	542	7	mathematics	mathematic	NOUN
ejpam-5005	542	8	,	,	PUNCT
ejpam-5005	542	9	13(5):1110–1130	13(5):1110–1130	PROPN
ejpam-5005	542	10	,	,	PUNCT
ejpam-5005	542	11	2020	2020	NUM
ejpam-5005	542	12	.	.	PUNCT
ejpam-5005	543	1	[	[	X
ejpam-5005	543	2	55	55	NUM
ejpam-5005	543	3	]	]	X
ejpam-5005	543	4	ian	ian	PROPN
ejpam-5005	543	5	naismith	naismith	PROPN
ejpam-5005	543	6	sneddon	sneddon	PROPN
ejpam-5005	543	7	.	.	PUNCT
ejpam-5005	544	1	fourier	fourier	PROPN
ejpam-5005	544	2	transforms	transform	VERB
ejpam-5005	544	3	.	.	PUNCT
ejpam-5005	545	1	courier	courier	NOUN
ejpam-5005	545	2	corporation	corporation	NOUN
ejpam-5005	545	3	,	,	PUNCT
ejpam-5005	545	4	1995	1995	NUM
ejpam-5005	545	5	.	.	PUNCT
ejpam-5005	546	1	[	[	X
ejpam-5005	546	2	56	56	NUM
ejpam-5005	546	3	]	]	X
ejpam-5005	546	4	murray	murray	PROPN
ejpam-5005	546	5	r	r	PROPN
ejpam-5005	546	6	spiegel	spiegel	PROPN
ejpam-5005	546	7	.	.	PUNCT
ejpam-5005	547	1	laplace	laplace	PROPN
ejpam-5005	547	2	transforms	transform	VERB
ejpam-5005	547	3	.	.	PUNCT
ejpam-5005	548	1	mcgraw	mcgraw	PROPN
ejpam-5005	548	2	-	-	PUNCT
ejpam-5005	548	3	hill	hill	PROPN
ejpam-5005	548	4	new	new	PROPN
ejpam-5005	548	5	york	york	PROPN
ejpam-5005	548	6	,	,	PUNCT
ejpam-5005	548	7	1965	1965	NUM
ejpam-5005	548	8	.	.	PUNCT
ejpam-5005	549	1	[	[	X
ejpam-5005	549	2	57	57	NUM
ejpam-5005	549	3	]	]	X
ejpam-5005	549	4	james	james	PROPN
ejpam-5005	549	5	stewart	stewart	PROPN
ejpam-5005	549	6	.	.	PUNCT
ejpam-5005	550	1	single	single	ADJ
ejpam-5005	550	2	variable	variable	ADJ
ejpam-5005	550	3	calculus	calculus	NOUN
ejpam-5005	550	4	:	:	PUNCT
ejpam-5005	550	5	early	early	ADJ
ejpam-5005	550	6	transcendentals	transcendental	NOUN
ejpam-5005	550	7	.	.	PUNCT
ejpam-5005	551	1	cengage	cengage	PROPN
ejpam-5005	551	2	learning	learning	PROPN
ejpam-5005	551	3	,	,	PUNCT
ejpam-5005	551	4	2015	2015	NUM
ejpam-5005	551	5	.	.	PUNCT
ejpam-5005	552	1	[	[	X
ejpam-5005	552	2	58	58	NUM
ejpam-5005	552	3	]	]	X
ejpam-5005	552	4	george	george	PROPN
ejpam-5005	552	5	k	k	PROPN
ejpam-5005	552	6	watugala	watugala	PROPN
ejpam-5005	552	7	.	.	PUNCT
ejpam-5005	553	1	sumudu	sumudu	NOUN
ejpam-5005	553	2	transform	transform	NOUN
ejpam-5005	553	3	:	:	PUNCT
ejpam-5005	553	4	a	a	DET
ejpam-5005	553	5	new	new	ADJ
ejpam-5005	553	6	integral	integral	ADJ
ejpam-5005	553	7	transform	transform	NOUN
ejpam-5005	553	8	to	to	PART
ejpam-5005	553	9	solve	solve	VERB
ejpam-5005	553	10	differential	differential	ADJ
ejpam-5005	553	11	equations	equation	NOUN
ejpam-5005	553	12	and	and	CCONJ
ejpam-5005	553	13	control	control	NOUN
ejpam-5005	553	14	engineering	engineering	NOUN
ejpam-5005	553	15	problems	problem	NOUN
ejpam-5005	553	16	.	.	PUNCT
ejpam-5005	554	1	integrated	integrated	ADJ
ejpam-5005	554	2	education	education	NOUN
ejpam-5005	554	3	,	,	PUNCT
ejpam-5005	554	4	24(1):35–43	24(1):35–43	NUM
ejpam-5005	554	5	,	,	PUNCT
ejpam-5005	554	6	1993	1993	NUM
ejpam-5005	554	7	.	.	PUNCT
ejpam-5005	555	1	[	[	X
ejpam-5005	555	2	59	59	NUM
ejpam-5005	555	3	]	]	X
ejpam-5005	555	4	wei	wei	PROPN
ejpam-5005	555	5	-	-	PUNCT
ejpam-5005	555	6	chau	chau	PROPN
ejpam-5005	555	7	xie	xie	PROPN
ejpam-5005	555	8	.	.	PUNCT
ejpam-5005	555	9	differential	differential	ADJ
ejpam-5005	555	10	equations	equation	NOUN
ejpam-5005	555	11	for	for	ADP
ejpam-5005	555	12	engineers	engineer	NOUN
ejpam-5005	555	13	.	.	PUNCT
ejpam-5005	556	1	cambridge	cambridge	PROPN
ejpam-5005	556	2	university	university	PROPN
ejpam-5005	556	3	press	press	NOUN
ejpam-5005	556	4	,	,	PUNCT
ejpam-5005	556	5	2010	2010	NUM
ejpam-5005	556	6	.	.	PUNCT