id	sid	tid	token	lemma	pos
ejpam-3455	1	1	european	european	PROPN
ejpam-3455	1	2	journal	journal	PROPN
ejpam-3455	1	3	of	of	ADP
ejpam-3455	1	4	pure	pure	ADJ
ejpam-3455	1	5	and	and	CCONJ
ejpam-3455	1	6	applied	apply	VERB
ejpam-3455	1	7	mathematics	mathematic	NOUN
ejpam-3455	1	8	vol	vol	NOUN
ejpam-3455	1	9	.	.	PROPN
ejpam-3455	2	1	12	12	NUM
ejpam-3455	2	2	,	,	PUNCT
ejpam-3455	2	3	no	no	INTJ
ejpam-3455	2	4	.	.	NOUN
ejpam-3455	2	5	3	3	NUM
ejpam-3455	2	6	,	,	PUNCT
ejpam-3455	2	7	2019	2019	NUM
ejpam-3455	2	8	,	,	PUNCT
ejpam-3455	2	9	1018	1018	NUM
ejpam-3455	2	10	-	-	SYM
ejpam-3455	2	11	1051	1051	NUM
ejpam-3455	2	12	issn	issn	PROPN
ejpam-3455	2	13	1307	1307	NUM
ejpam-3455	2	14	-	-	SYM
ejpam-3455	2	15	5543	5543	NUM
ejpam-3455	2	16	–	–	PUNCT
ejpam-3455	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3455	2	18	published	publish	VERB
ejpam-3455	2	19	by	by	ADP
ejpam-3455	2	20	new	new	PROPN
ejpam-3455	2	21	york	york	PROPN
ejpam-3455	2	22	business	business	PROPN
ejpam-3455	2	23	global	global	ADJ
ejpam-3455	2	24	twice	twice	ADJ
ejpam-3455	2	25	order	order	NOUN
ejpam-3455	2	26	slip	slip	NOUN
ejpam-3455	2	27	on	on	ADP
ejpam-3455	2	28	the	the	DET
ejpam-3455	2	29	flows	flow	NOUN
ejpam-3455	2	30	of	of	ADP
ejpam-3455	2	31	fractionalized	fractionalized	ADJ
ejpam-3455	2	32	mhd	mhd	PROPN
ejpam-3455	2	33	viscoelastic	viscoelastic	PROPN
ejpam-3455	2	34	fluid	fluid	NOUN
ejpam-3455	2	35	muhammad	muhammad	PROPN
ejpam-3455	2	36	jamil1,∗	jamil1,∗	NOUN
ejpam-3455	2	37	,	,	PUNCT
ejpam-3455	2	38	israr	israr	NOUN
ejpam-3455	2	39	ahmed1	ahmed1	NOUN
ejpam-3455	2	40	1	1	NUM
ejpam-3455	2	41	department	department	NOUN
ejpam-3455	2	42	of	of	ADP
ejpam-3455	2	43	mathematics	mathematic	NOUN
ejpam-3455	2	44	,	,	PUNCT
ejpam-3455	2	45	ned	ned	PROPN
ejpam-3455	2	46	university	university	PROPN
ejpam-3455	2	47	of	of	ADP
ejpam-3455	2	48	engineering	engineering	PROPN
ejpam-3455	2	49	&	&	CCONJ
ejpam-3455	2	50	technology	technology	PROPN
ejpam-3455	2	51	,	,	PUNCT
ejpam-3455	2	52	karachi-75270	karachi-75270	INTJ
ejpam-3455	2	53	,	,	PUNCT
ejpam-3455	2	54	pakistan	pakistan	PROPN
ejpam-3455	2	55	abstract	abstract	NOUN
ejpam-3455	2	56	.	.	PUNCT
ejpam-3455	3	1	the	the	DET
ejpam-3455	3	2	objective	objective	NOUN
ejpam-3455	3	3	of	of	ADP
ejpam-3455	3	4	this	this	DET
ejpam-3455	3	5	article	article	NOUN
ejpam-3455	3	6	is	be	AUX
ejpam-3455	3	7	to	to	PART
ejpam-3455	3	8	investigate	investigate	VERB
ejpam-3455	3	9	the	the	DET
ejpam-3455	3	10	effect	effect	NOUN
ejpam-3455	3	11	of	of	ADP
ejpam-3455	3	12	twice	twice	ADJ
ejpam-3455	3	13	order	order	NOUN
ejpam-3455	3	14	slip	slip	NOUN
ejpam-3455	3	15	on	on	ADP
ejpam-3455	3	16	the	the	DET
ejpam-3455	3	17	mhd	mhd	NOUN
ejpam-3455	3	18	flow	flow	NOUN
ejpam-3455	3	19	of	of	ADP
ejpam-3455	3	20	fractionalized	fractionalize	VERB
ejpam-3455	3	21	maxwell	maxwell	PROPN
ejpam-3455	3	22	fluid	fluid	NOUN
ejpam-3455	3	23	through	through	ADP
ejpam-3455	3	24	a	a	DET
ejpam-3455	3	25	permeable	permeable	ADJ
ejpam-3455	3	26	medium	medium	NOUN
ejpam-3455	3	27	produced	produce	VERB
ejpam-3455	3	28	by	by	ADP
ejpam-3455	3	29	oscillatory	oscillatory	ADJ
ejpam-3455	3	30	movement	movement	NOUN
ejpam-3455	3	31	of	of	ADP
ejpam-3455	3	32	an	an	DET
ejpam-3455	3	33	infinite	infinite	ADJ
ejpam-3455	3	34	bottom	bottom	ADJ
ejpam-3455	3	35	plate	plate	NOUN
ejpam-3455	3	36	.	.	PUNCT
ejpam-3455	4	1	the	the	DET
ejpam-3455	4	2	governing	govern	VERB
ejpam-3455	4	3	equations	equation	NOUN
ejpam-3455	4	4	are	be	AUX
ejpam-3455	4	5	developed	develop	VERB
ejpam-3455	4	6	by	by	ADP
ejpam-3455	4	7	fractional	fractional	ADJ
ejpam-3455	4	8	calculus	calculus	NOUN
ejpam-3455	4	9	approach	approach	NOUN
ejpam-3455	4	10	.	.	PUNCT
ejpam-3455	5	1	the	the	DET
ejpam-3455	5	2	exact	exact	ADJ
ejpam-3455	5	3	analytical	analytical	ADJ
ejpam-3455	5	4	results	result	NOUN
ejpam-3455	5	5	for	for	ADP
ejpam-3455	5	6	velocity	velocity	NOUN
ejpam-3455	5	7	field	field	NOUN
ejpam-3455	5	8	and	and	CCONJ
ejpam-3455	5	9	related	relate	VERB
ejpam-3455	5	10	shear	shear	NOUN
ejpam-3455	5	11	stress	stress	NOUN
ejpam-3455	5	12	are	be	AUX
ejpam-3455	5	13	calculated	calculate	VERB
ejpam-3455	5	14	using	use	VERB
ejpam-3455	5	15	laplace	laplace	NOUN
ejpam-3455	5	16	transforms	transform	VERB
ejpam-3455	5	17	and	and	CCONJ
ejpam-3455	5	18	presented	present	VERB
ejpam-3455	5	19	in	in	ADP
ejpam-3455	5	20	terms	term	NOUN
ejpam-3455	5	21	of	of	ADP
ejpam-3455	5	22	generalized	generalized	ADJ
ejpam-3455	5	23	m	m	NOUN
ejpam-3455	5	24	-	-	NOUN
ejpam-3455	5	25	function	function	NOUN
ejpam-3455	5	26	satisfying	satisfy	VERB
ejpam-3455	5	27	all	all	DET
ejpam-3455	5	28	imposed	impose	VERB
ejpam-3455	5	29	initial	initial	ADJ
ejpam-3455	5	30	and	and	CCONJ
ejpam-3455	5	31	boundary	boundary	ADJ
ejpam-3455	5	32	conditions	condition	NOUN
ejpam-3455	5	33	.	.	PUNCT
ejpam-3455	6	1	the	the	DET
ejpam-3455	6	2	flow	flow	NOUN
ejpam-3455	6	3	results	result	NOUN
ejpam-3455	6	4	for	for	ADP
ejpam-3455	6	5	fractionalized	fractionalized	ADJ
ejpam-3455	6	6	maxwell	maxwell	PROPN
ejpam-3455	6	7	,	,	PUNCT
ejpam-3455	6	8	traditional	traditional	ADJ
ejpam-3455	6	9	maxwell	maxwell	PROPN
ejpam-3455	6	10	and	and	CCONJ
ejpam-3455	6	11	newtonian	newtonian	ADJ
ejpam-3455	6	12	fluid	fluid	NOUN
ejpam-3455	6	13	with	with	ADP
ejpam-3455	6	14	and	and	CCONJ
ejpam-3455	6	15	without	without	ADP
ejpam-3455	6	16	slips	slip	NOUN
ejpam-3455	6	17	,	,	PUNCT
ejpam-3455	6	18	in	in	ADP
ejpam-3455	6	19	the	the	DET
ejpam-3455	6	20	presence	presence	NOUN
ejpam-3455	6	21	and	and	CCONJ
ejpam-3455	6	22	absence	absence	NOUN
ejpam-3455	6	23	of	of	ADP
ejpam-3455	6	24	magnetic	magnetic	ADJ
ejpam-3455	6	25	and	and	CCONJ
ejpam-3455	6	26	porous	porous	ADJ
ejpam-3455	6	27	effects	effect	NOUN
ejpam-3455	6	28	are	be	AUX
ejpam-3455	6	29	derived	derive	VERB
ejpam-3455	6	30	as	as	ADP
ejpam-3455	6	31	the	the	DET
ejpam-3455	6	32	limiting	limit	VERB
ejpam-3455	6	33	cases	case	NOUN
ejpam-3455	6	34	.	.	PUNCT
ejpam-3455	7	1	the	the	DET
ejpam-3455	7	2	impact	impact	NOUN
ejpam-3455	7	3	of	of	ADP
ejpam-3455	7	4	fractional	fractional	ADJ
ejpam-3455	7	5	parameter	parameter	NOUN
ejpam-3455	7	6	,	,	PUNCT
ejpam-3455	7	7	slip	slip	NOUN
ejpam-3455	7	8	coefficients	coefficient	NOUN
ejpam-3455	7	9	,	,	PUNCT
ejpam-3455	7	10	magnetic	magnetic	ADJ
ejpam-3455	7	11	force	force	NOUN
ejpam-3455	7	12	and	and	CCONJ
ejpam-3455	7	13	porosity	porosity	NOUN
ejpam-3455	7	14	parameter	parameter	NOUN
ejpam-3455	7	15	over	over	ADP
ejpam-3455	7	16	the	the	DET
ejpam-3455	7	17	velocity	velocity	NOUN
ejpam-3455	7	18	field	field	NOUN
ejpam-3455	7	19	and	and	CCONJ
ejpam-3455	7	20	shear	shear	NOUN
ejpam-3455	7	21	stress	stress	NOUN
ejpam-3455	7	22	are	be	AUX
ejpam-3455	7	23	discussed	discuss	VERB
ejpam-3455	7	24	and	and	CCONJ
ejpam-3455	7	25	analyzed	analyze	VERB
ejpam-3455	7	26	through	through	ADP
ejpam-3455	7	27	graphical	graphical	ADJ
ejpam-3455	7	28	illustrations	illustration	NOUN
ejpam-3455	7	29	.	.	PUNCT
ejpam-3455	8	1	the	the	DET
ejpam-3455	8	2	outcomes	outcome	NOUN
ejpam-3455	8	3	demonstrate	demonstrate	VERB
ejpam-3455	8	4	that	that	SCONJ
ejpam-3455	8	5	the	the	DET
ejpam-3455	8	6	speed	speed	NOUN
ejpam-3455	8	7	comparing	compare	VERB
ejpam-3455	8	8	to	to	ADP
ejpam-3455	8	9	streams	stream	NOUN
ejpam-3455	8	10	with	with	ADP
ejpam-3455	8	11	slip	slip	NOUN
ejpam-3455	8	12	condition	condition	NOUN
ejpam-3455	8	13	is	be	AUX
ejpam-3455	8	14	lower	low	ADJ
ejpam-3455	8	15	than	than	ADP
ejpam-3455	8	16	that	that	PRON
ejpam-3455	8	17	for	for	ADP
ejpam-3455	8	18	stream	stream	NOUN
ejpam-3455	8	19	with	with	ADP
ejpam-3455	8	20	non	non	ADJ
ejpam-3455	8	21	-	-	ADJ
ejpam-3455	8	22	slip	slip	ADJ
ejpam-3455	8	23	conditions	condition	NOUN
ejpam-3455	8	24	,	,	PUNCT
ejpam-3455	8	25	and	and	CCONJ
ejpam-3455	8	26	the	the	DET
ejpam-3455	8	27	speed	speed	NOUN
ejpam-3455	8	28	with	with	ADP
ejpam-3455	8	29	second	second	ADJ
ejpam-3455	8	30	-	-	PUNCT
ejpam-3455	8	31	slip	slip	NOUN
ejpam-3455	8	32	condition	condition	NOUN
ejpam-3455	8	33	is	be	AUX
ejpam-3455	8	34	lower	low	ADJ
ejpam-3455	8	35	than	than	ADP
ejpam-3455	8	36	that	that	PRON
ejpam-3455	8	37	with	with	ADP
ejpam-3455	8	38	first	first	ADJ
ejpam-3455	8	39	-	-	PUNCT
ejpam-3455	8	40	order	order	NOUN
ejpam-3455	8	41	slip	slip	NOUN
ejpam-3455	8	42	condition	condition	NOUN
ejpam-3455	8	43	.	.	PUNCT
ejpam-3455	9	1	2010	2010	NUM
ejpam-3455	9	2	mathematics	mathematic	NOUN
ejpam-3455	9	3	subject	subject	NOUN
ejpam-3455	9	4	classifications	classification	NOUN
ejpam-3455	9	5	:	:	PUNCT
ejpam-3455	9	6	76a05	76a05	NUM
ejpam-3455	9	7	,	,	PUNCT
ejpam-3455	9	8	76a10	76a10	NUM
ejpam-3455	9	9	key	key	ADJ
ejpam-3455	9	10	words	word	NOUN
ejpam-3455	9	11	and	and	CCONJ
ejpam-3455	9	12	phrases	phrase	NOUN
ejpam-3455	9	13	:	:	PUNCT
ejpam-3455	9	14	twice	twice	PRON
ejpam-3455	9	15	order	order	NOUN
ejpam-3455	9	16	slip	slip	NOUN
ejpam-3455	9	17	,	,	PUNCT
ejpam-3455	9	18	mhd	mhd	PROPN
ejpam-3455	9	19	maxwell	maxwell	PROPN
ejpam-3455	9	20	fluid	fluid	PROPN
ejpam-3455	9	21	,	,	PUNCT
ejpam-3455	9	22	fractional	fractional	ADJ
ejpam-3455	9	23	derivative	derivative	ADJ
ejpam-3455	9	24	,	,	PUNCT
ejpam-3455	9	25	unsteady	unsteady	ADJ
ejpam-3455	9	26	flow	flow	NOUN
ejpam-3455	9	27	,	,	PUNCT
ejpam-3455	9	28	m	m	NOUN
ejpam-3455	9	29	-	-	NOUN
ejpam-3455	9	30	function	function	NOUN
ejpam-3455	9	31	,	,	PUNCT
ejpam-3455	9	32	velocity	velocity	NOUN
ejpam-3455	9	33	field	field	NOUN
ejpam-3455	9	34	,	,	PUNCT
ejpam-3455	9	35	shear	shear	NOUN
ejpam-3455	9	36	stress	stress	NOUN
ejpam-3455	9	37	,	,	PUNCT
ejpam-3455	9	38	laplace	laplace	NOUN
ejpam-3455	9	39	transforms	transform	VERB
ejpam-3455	9	40	1	1	NUM
ejpam-3455	9	41	.	.	PUNCT
ejpam-3455	10	1	introduction	introduction	NOUN
ejpam-3455	10	2	the	the	DET
ejpam-3455	10	3	viscoelastic	viscoelastic	ADJ
ejpam-3455	10	4	non	non	ADJ
ejpam-3455	10	5	-	-	ADJ
ejpam-3455	10	6	newtonian	newtonian	ADJ
ejpam-3455	10	7	fluids	fluid	NOUN
ejpam-3455	10	8	has	have	AUX
ejpam-3455	10	9	got	get	VERB
ejpam-3455	10	10	immense	immense	ADJ
ejpam-3455	10	11	importance	importance	NOUN
ejpam-3455	10	12	in	in	ADP
ejpam-3455	10	13	research	research	NOUN
ejpam-3455	10	14	and	and	CCONJ
ejpam-3455	10	15	development	development	NOUN
ejpam-3455	10	16	of	of	ADP
ejpam-3455	10	17	biomedical	biomedical	ADJ
ejpam-3455	10	18	and	and	CCONJ
ejpam-3455	10	19	chemical	chemical	NOUN
ejpam-3455	10	20	industries	industry	NOUN
ejpam-3455	10	21	like	like	ADP
ejpam-3455	10	22	metallurgy	metallurgy	NOUN
ejpam-3455	10	23	,	,	PUNCT
ejpam-3455	10	24	plastic	plastic	NOUN
ejpam-3455	10	25	,	,	PUNCT
ejpam-3455	10	26	polymer	polymer	NOUN
ejpam-3455	10	27	,	,	PUNCT
ejpam-3455	10	28	oil	oil	NOUN
ejpam-3455	10	29	and	and	CCONJ
ejpam-3455	10	30	food	food	NOUN
ejpam-3455	10	31	industries	industry	NOUN
ejpam-3455	10	32	.	.	PUNCT
ejpam-3455	11	1	such	such	ADJ
ejpam-3455	11	2	type	type	NOUN
ejpam-3455	11	3	fluids	fluid	NOUN
ejpam-3455	11	4	include	include	VERB
ejpam-3455	11	5	blood	blood	NOUN
ejpam-3455	11	6	,	,	PUNCT
ejpam-3455	11	7	slurries	slurry	NOUN
ejpam-3455	11	8	,	,	PUNCT
ejpam-3455	11	9	polymer	polymer	NOUN
ejpam-3455	11	10	solutions	solution	NOUN
ejpam-3455	11	11	,	,	PUNCT
ejpam-3455	11	12	cerebrospinal	cerebrospinal	ADJ
ejpam-3455	11	13	fluid	fluid	NOUN
ejpam-3455	11	14	,	,	PUNCT
ejpam-3455	11	15	granular	granular	ADJ
ejpam-3455	11	16	materials	material	NOUN
ejpam-3455	11	17	,	,	PUNCT
ejpam-3455	11	18	emulsions	emulsion	NOUN
ejpam-3455	11	19	,	,	PUNCT
ejpam-3455	11	20	gel	gel	NOUN
ejpam-3455	11	21	,	,	PUNCT
ejpam-3455	11	22	suspensions	suspension	NOUN
ejpam-3455	11	23	,	,	PUNCT
ejpam-3455	11	24	exotic	exotic	ADJ
ejpam-3455	11	25	lubricants	lubricant	NOUN
ejpam-3455	11	26	,	,	PUNCT
ejpam-3455	11	27	colloidal	colloidal	NOUN
ejpam-3455	11	28	solutions	solution	NOUN
ejpam-3455	11	29	,	,	PUNCT
ejpam-3455	11	30	composites	composite	NOUN
ejpam-3455	11	31	,	,	PUNCT
ejpam-3455	11	32	earth	earth	NOUN
ejpam-3455	11	33	’s	’s	PART
ejpam-3455	11	34	mantle	mantle	NOUN
ejpam-3455	11	35	,	,	PUNCT
ejpam-3455	11	36	elastomers	elastomer	NOUN
ejpam-3455	11	37	,	,	PUNCT
ejpam-3455	11	38	drilling	drill	VERB
ejpam-3455	11	39	mud	mud	NOUN
ejpam-3455	11	40	,	,	PUNCT
ejpam-3455	11	41	clay	clay	NOUN
ejpam-3455	11	42	coatings	coating	NOUN
ejpam-3455	11	43	,	,	PUNCT
ejpam-3455	11	44	pulps	pulp	NOUN
ejpam-3455	11	45	,	,	PUNCT
ejpam-3455	11	46	endobronchial	endobronchial	ADJ
ejpam-3455	11	47	secretions	secretion	NOUN
ejpam-3455	11	48	,	,	PUNCT
ejpam-3455	11	49	oils	oil	NOUN
ejpam-3455	11	50	and	and	CCONJ
ejpam-3455	11	51	greases	grease	NOUN
ejpam-3455	11	52	.	.	PUNCT
ejpam-3455	12	1	the	the	DET
ejpam-3455	12	2	stream	stream	NOUN
ejpam-3455	12	3	attributes	attribute	NOUN
ejpam-3455	12	4	of	of	ADP
ejpam-3455	12	5	non	non	ADJ
ejpam-3455	12	6	-	-	ADJ
ejpam-3455	12	7	newtonian	newtonian	ADJ
ejpam-3455	12	8	viscoelastic	viscoelastic	NOUN
ejpam-3455	12	9	fluids	fluid	NOUN
ejpam-3455	12	10	are	be	AUX
ejpam-3455	12	11	quite	quite	ADV
ejpam-3455	12	12	different	different	ADJ
ejpam-3455	12	13	than	than	ADP
ejpam-3455	12	14	that	that	PRON
ejpam-3455	12	15	of	of	ADP
ejpam-3455	12	16	the	the	DET
ejpam-3455	12	17	newtonian	newtonian	ADJ
ejpam-3455	12	18	fluid	fluid	NOUN
ejpam-3455	12	19	due	due	ADP
ejpam-3455	12	20	to	to	ADP
ejpam-3455	12	21	complex	complex	ADJ
ejpam-3455	12	22	rheological	rheological	ADJ
ejpam-3455	12	23	behavior	behavior	NOUN
ejpam-3455	12	24	,	,	PUNCT
ejpam-3455	12	25	and	and	CCONJ
ejpam-3455	12	26	having	have	VERB
ejpam-3455	12	27	both	both	CCONJ
ejpam-3455	12	28	elastic	elastic	ADJ
ejpam-3455	12	29	and	and	CCONJ
ejpam-3455	12	30	viscous	viscous	ADJ
ejpam-3455	12	31	properties	property	NOUN
ejpam-3455	12	32	[	[	X
ejpam-3455	12	33	29	29	NUM
ejpam-3455	12	34	,	,	PUNCT
ejpam-3455	12	35	30	30	NUM
ejpam-3455	12	36	]	]	PUNCT
ejpam-3455	12	37	.	.	PUNCT
ejpam-3455	13	1	the	the	DET
ejpam-3455	13	2	inadequacy	inadequacy	NOUN
ejpam-3455	13	3	of	of	ADP
ejpam-3455	13	4	naiver	naiver	NOUN
ejpam-3455	13	5	-	-	PUNCT
ejpam-3455	13	6	stoke	stoke	NOUN
ejpam-3455	13	7	∗corresponding	∗corresponde	VERB
ejpam-3455	13	8	author	author	NOUN
ejpam-3455	13	9	.	.	PUNCT
ejpam-3455	14	1	doi	doi	NOUN
ejpam-3455	14	2	:	:	PUNCT
ejpam-3455	14	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3455	https://doi.org/10.29020/nybg.ejpam.v12i3.3455	ADP
ejpam-3455	14	4	email	email	NOUN
ejpam-3455	14	5	addresses	address	NOUN
ejpam-3455	14	6	:	:	PUNCT
ejpam-3455	14	7	jqrza@neduet.edu.pk	jqrza@neduet.edu.pk	NOUN
ejpam-3455	14	8	,	,	PUNCT
ejpam-3455	14	9	jqrza26@yahoo.com	jqrza26@yahoo.com	PROPN
ejpam-3455	14	10	(	(	PUNCT
ejpam-3455	14	11	m.	m.	NOUN
ejpam-3455	14	12	jamil	jamil	PROPN
ejpam-3455	14	13	)	)	PUNCT
ejpam-3455	14	14	,	,	PUNCT
ejpam-3455	14	15	israrmath@gmail.com	israrmath@gmail.com	X
ejpam-3455	14	16	(	(	PUNCT
ejpam-3455	14	17	i.	i.	PROPN
ejpam-3455	14	18	ahmed	ahmed	PROPN
ejpam-3455	14	19	)	)	PUNCT
ejpam-3455	14	20	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3455	14	21	1018	1018	NUM
ejpam-3455	15	1	c	c	X
ejpam-3455	15	2	©	©	PROPN
ejpam-3455	15	3	2019	2019	NUM
ejpam-3455	15	4	ejpam	ejpam	NOUN
ejpam-3455	15	5	all	all	DET
ejpam-3455	15	6	rights	right	NOUN
ejpam-3455	15	7	reserved	reserve	VERB
ejpam-3455	15	8	.	.	PUNCT
ejpam-3455	16	1	m.	m.	PROPN
ejpam-3455	16	2	jamil	jamil	PROPN
ejpam-3455	16	3	,	,	PUNCT
ejpam-3455	16	4	i.	i.	PROPN
ejpam-3455	16	5	ahmed	ahmed	PROPN
ejpam-3455	16	6	/	/	PUNCT
ejpam-3455	16	7	eur	eur	PROPN
ejpam-3455	16	8	.	.	PUNCT
ejpam-3455	17	1	j.	j.	PROPN
ejpam-3455	17	2	pure	pure	PROPN
ejpam-3455	17	3	appl	appl	PROPN
ejpam-3455	17	4	.	.	PROPN
ejpam-3455	17	5	math	math	PROPN
ejpam-3455	17	6	,	,	PUNCT
ejpam-3455	17	7	12	12	NUM
ejpam-3455	17	8	(	(	PUNCT
ejpam-3455	17	9	3	3	NUM
ejpam-3455	17	10	)	)	PUNCT
ejpam-3455	17	11	(	(	PUNCT
ejpam-3455	17	12	2019	2019	NUM
ejpam-3455	17	13	)	)	PUNCT
ejpam-3455	17	14	,	,	PUNCT
ejpam-3455	17	15	1018	1018	NUM
ejpam-3455	17	16	-	-	SYM
ejpam-3455	17	17	1051	1051	NUM
ejpam-3455	17	18	1019	1019	NUM
ejpam-3455	17	19	equations	equation	NOUN
ejpam-3455	17	20	to	to	PART
ejpam-3455	17	21	describe	describe	VERB
ejpam-3455	17	22	all	all	DET
ejpam-3455	17	23	the	the	DET
ejpam-3455	17	24	properties	property	NOUN
ejpam-3455	17	25	of	of	ADP
ejpam-3455	17	26	viscoelasticity	viscoelasticity	NOUN
ejpam-3455	17	27	encourages	encourage	VERB
ejpam-3455	17	28	the	the	DET
ejpam-3455	17	29	researchers	researcher	NOUN
ejpam-3455	17	30	to	to	PART
ejpam-3455	17	31	produce	produce	VERB
ejpam-3455	17	32	the	the	DET
ejpam-3455	17	33	equations	equation	NOUN
ejpam-3455	17	34	of	of	ADP
ejpam-3455	17	35	non	non	ADJ
ejpam-3455	17	36	-	-	ADJ
ejpam-3455	17	37	newtonian	newtonian	ADJ
ejpam-3455	17	38	viscoelastic	viscoelastic	ADJ
ejpam-3455	17	39	fluid	fluid	NOUN
ejpam-3455	17	40	from	from	ADP
ejpam-3455	17	41	constitutive	constitutive	ADJ
ejpam-3455	17	42	relation	relation	NOUN
ejpam-3455	17	43	.	.	PUNCT
ejpam-3455	18	1	the	the	DET
ejpam-3455	18	2	obtained	obtain	VERB
ejpam-3455	18	3	equations	equation	NOUN
ejpam-3455	18	4	are	be	AUX
ejpam-3455	18	5	higher	high	ADJ
ejpam-3455	18	6	order	order	NOUN
ejpam-3455	18	7	and	and	CCONJ
ejpam-3455	18	8	complex	complex	ADJ
ejpam-3455	18	9	differential	differential	ADJ
ejpam-3455	18	10	equations	equation	NOUN
ejpam-3455	18	11	in	in	ADP
ejpam-3455	18	12	comparison	comparison	NOUN
ejpam-3455	18	13	with	with	ADP
ejpam-3455	18	14	the	the	DET
ejpam-3455	18	15	naiver	naiver	NOUN
ejpam-3455	18	16	-	-	PUNCT
ejpam-3455	18	17	stoke	stoke	NOUN
ejpam-3455	18	18	governing	govern	VERB
ejpam-3455	18	19	equations	equation	NOUN
ejpam-3455	18	20	of	of	ADP
ejpam-3455	18	21	the	the	DET
ejpam-3455	18	22	newtonian	newtonian	ADJ
ejpam-3455	18	23	fluids	fluid	NOUN
ejpam-3455	18	24	due	due	ADJ
ejpam-3455	18	25	to	to	ADP
ejpam-3455	18	26	nonlinear	nonlinear	ADJ
ejpam-3455	18	27	association	association	NOUN
ejpam-3455	18	28	between	between	ADP
ejpam-3455	18	29	shear	shear	NOUN
ejpam-3455	18	30	rate	rate	NOUN
ejpam-3455	18	31	bend	bend	NOUN
ejpam-3455	18	32	and	and	CCONJ
ejpam-3455	18	33	shear	shear	NOUN
ejpam-3455	18	34	stress	stress	NOUN
ejpam-3455	18	35	which	which	PRON
ejpam-3455	18	36	depend	depend	VERB
ejpam-3455	18	37	upon	upon	SCONJ
ejpam-3455	18	38	time	time	NOUN
ejpam-3455	18	39	,	,	PUNCT
ejpam-3455	18	40	shear	shear	NOUN
ejpam-3455	18	41	rate	rate	NOUN
ejpam-3455	18	42	and	and	CCONJ
ejpam-3455	18	43	viscoelastic	viscoelastic	NOUN
ejpam-3455	18	44	properties	property	NOUN
ejpam-3455	18	45	.	.	PUNCT
ejpam-3455	19	1	these	these	DET
ejpam-3455	19	2	characteristics	characteristic	NOUN
ejpam-3455	19	3	give	give	VERB
ejpam-3455	19	4	raise	raise	NOUN
ejpam-3455	19	5	to	to	ADP
ejpam-3455	19	6	many	many	ADJ
ejpam-3455	19	7	industrially	industrially	ADV
ejpam-3455	19	8	originated	originate	VERB
ejpam-3455	19	9	flow	flow	NOUN
ejpam-3455	19	10	phenomena	phenomenon	NOUN
ejpam-3455	19	11	that	that	PRON
ejpam-3455	19	12	are	be	AUX
ejpam-3455	19	13	predictable	predictable	ADJ
ejpam-3455	19	14	and	and	CCONJ
ejpam-3455	19	15	can	can	AUX
ejpam-3455	19	16	be	be	AUX
ejpam-3455	19	17	modified	modify	VERB
ejpam-3455	19	18	by	by	ADP
ejpam-3455	19	19	mathematical	mathematical	ADJ
ejpam-3455	19	20	or	or	CCONJ
ejpam-3455	19	21	physical	physical	ADJ
ejpam-3455	19	22	models	model	NOUN
ejpam-3455	19	23	,	,	PUNCT
ejpam-3455	19	24	classified	classify	VERB
ejpam-3455	19	25	as	as	ADP
ejpam-3455	19	26	integral	integral	ADJ
ejpam-3455	19	27	,	,	PUNCT
ejpam-3455	19	28	differential	differential	ADJ
ejpam-3455	19	29	or	or	CCONJ
ejpam-3455	19	30	rate	rate	NOUN
ejpam-3455	19	31	type	type	NOUN
ejpam-3455	19	32	model	model	NOUN
ejpam-3455	19	33	.	.	PUNCT
ejpam-3455	20	1	thus	thus	ADV
ejpam-3455	20	2	,	,	PUNCT
ejpam-3455	20	3	many	many	ADJ
ejpam-3455	20	4	constitutive	constitutive	ADJ
ejpam-3455	20	5	relations	relation	NOUN
ejpam-3455	20	6	of	of	ADP
ejpam-3455	20	7	these	these	DET
ejpam-3455	20	8	fluids	fluid	NOUN
ejpam-3455	20	9	are	be	AUX
ejpam-3455	20	10	proposed	propose	VERB
ejpam-3455	20	11	[	[	X
ejpam-3455	20	12	23	23	NUM
ejpam-3455	20	13	]	]	PUNCT
ejpam-3455	20	14	.	.	PUNCT
ejpam-3455	21	1	however	however	ADV
ejpam-3455	21	2	,	,	PUNCT
ejpam-3455	21	3	the	the	DET
ejpam-3455	21	4	flow	flow	NOUN
ejpam-3455	21	5	of	of	ADP
ejpam-3455	21	6	some	some	DET
ejpam-3455	21	7	polymer	polymer	NOUN
ejpam-3455	21	8	melts	melt	NOUN
ejpam-3455	21	9	can	can	AUX
ejpam-3455	21	10	not	not	PART
ejpam-3455	21	11	be	be	AUX
ejpam-3455	21	12	described	describe	VERB
ejpam-3455	21	13	by	by	ADP
ejpam-3455	21	14	differential	differential	ADJ
ejpam-3455	21	15	type	type	NOUN
ejpam-3455	21	16	model	model	NOUN
ejpam-3455	21	17	due	due	ADP
ejpam-3455	21	18	to	to	ADP
ejpam-3455	21	19	their	their	PRON
ejpam-3455	21	20	incapability	incapability	NOUN
ejpam-3455	21	21	of	of	ADP
ejpam-3455	21	22	predicting	predict	VERB
ejpam-3455	21	23	the	the	DET
ejpam-3455	21	24	stress	stress	NOUN
ejpam-3455	21	25	relaxation	relaxation	NOUN
ejpam-3455	21	26	.	.	PUNCT
ejpam-3455	22	1	maxwell	maxwell	PROPN
ejpam-3455	22	2	fluid	fluid	PROPN
ejpam-3455	22	3	model	model	NOUN
ejpam-3455	22	4	described	describe	VERB
ejpam-3455	22	5	by	by	ADP
ejpam-3455	22	6	physical	physical	ADJ
ejpam-3455	22	7	characteristics	characteristic	NOUN
ejpam-3455	22	8	equivalent	equivalent	ADJ
ejpam-3455	22	9	to	to	ADP
ejpam-3455	22	10	spring	spring	NOUN
ejpam-3455	22	11	and	and	CCONJ
ejpam-3455	22	12	a	a	DET
ejpam-3455	22	13	damper	damper	NOUN
ejpam-3455	22	14	in	in	ADP
ejpam-3455	22	15	series	series	NOUN
ejpam-3455	22	16	,	,	PUNCT
ejpam-3455	22	17	is	be	AUX
ejpam-3455	22	18	one	one	NUM
ejpam-3455	22	19	of	of	ADP
ejpam-3455	22	20	the	the	DET
ejpam-3455	22	21	rate	rate	NOUN
ejpam-3455	22	22	type	type	NOUN
ejpam-3455	22	23	viscoelastic	viscoelastic	ADJ
ejpam-3455	22	24	non	non	ADJ
ejpam-3455	22	25	-	-	ADJ
ejpam-3455	22	26	newtonian	newtonian	ADJ
ejpam-3455	22	27	fluid	fluid	ADJ
ejpam-3455	22	28	model	model	NOUN
ejpam-3455	22	29	that	that	PRON
ejpam-3455	22	30	is	be	AUX
ejpam-3455	22	31	widely	widely	ADV
ejpam-3455	22	32	used	use	VERB
ejpam-3455	22	33	to	to	PART
ejpam-3455	22	34	describe	describe	VERB
ejpam-3455	22	35	the	the	DET
ejpam-3455	22	36	reaction	reaction	NOUN
ejpam-3455	22	37	of	of	ADP
ejpam-3455	22	38	polymeric	polymeric	ADJ
ejpam-3455	22	39	fluids	fluid	NOUN
ejpam-3455	22	40	taking	take	VERB
ejpam-3455	22	41	relaxation	relaxation	NOUN
ejpam-3455	22	42	phenomena	phenomenon	NOUN
ejpam-3455	22	43	into	into	ADP
ejpam-3455	22	44	consideration	consideration	NOUN
ejpam-3455	22	45	but	but	CCONJ
ejpam-3455	22	46	in	in	ADP
ejpam-3455	22	47	a	a	DET
ejpam-3455	22	48	shear	shear	NOUN
ejpam-3455	22	49	flow	flow	NOUN
ejpam-3455	22	50	it	it	PRON
ejpam-3455	22	51	never	never	ADV
ejpam-3455	22	52	depicts	depict	VERB
ejpam-3455	22	53	the	the	DET
ejpam-3455	22	54	connection	connection	NOUN
ejpam-3455	22	55	between	between	ADP
ejpam-3455	22	56	shear	shear	NOUN
ejpam-3455	22	57	stress	stress	NOUN
ejpam-3455	22	58	and	and	CCONJ
ejpam-3455	22	59	shear	shear	NOUN
ejpam-3455	22	60	rate[4	rate[4	PROPN
ejpam-3455	22	61	,	,	PUNCT
ejpam-3455	22	62	5	5	NUM
ejpam-3455	22	63	]	]	PUNCT
ejpam-3455	22	64	.	.	PUNCT
ejpam-3455	23	1	initially	initially	ADV
ejpam-3455	23	2	maxwell	maxwell	PROPN
ejpam-3455	23	3	fluid	fluid	PROPN
ejpam-3455	23	4	model	model	NOUN
ejpam-3455	23	5	developed	develop	VERB
ejpam-3455	23	6	to	to	PART
ejpam-3455	23	7	deal	deal	VERB
ejpam-3455	23	8	with	with	ADP
ejpam-3455	23	9	viscoelastic	viscoelastic	ADJ
ejpam-3455	23	10	air	air	NOUN
ejpam-3455	23	11	response	response	NOUN
ejpam-3455	23	12	[	[	X
ejpam-3455	23	13	19	19	NUM
ejpam-3455	23	14	]	]	PUNCT
ejpam-3455	23	15	.	.	PUNCT
ejpam-3455	24	1	the	the	DET
ejpam-3455	24	2	viscoelastic	viscoelastic	ADJ
ejpam-3455	24	3	fluid	fluid	NOUN
ejpam-3455	24	4	flow	flow	NOUN
ejpam-3455	24	5	induced	induce	VERB
ejpam-3455	24	6	by	by	ADP
ejpam-3455	24	7	sinusoidal	sinusoidal	NOUN
ejpam-3455	24	8	oscillatory	oscillatory	ADJ
ejpam-3455	24	9	motion	motion	NOUN
ejpam-3455	24	10	of	of	ADP
ejpam-3455	24	11	the	the	DET
ejpam-3455	24	12	flat	flat	ADJ
ejpam-3455	24	13	plate	plate	NOUN
ejpam-3455	24	14	is	be	AUX
ejpam-3455	24	15	the	the	DET
ejpam-3455	24	16	fundamental	fundamental	ADJ
ejpam-3455	24	17	problem	problem	NOUN
ejpam-3455	24	18	in	in	ADP
ejpam-3455	24	19	theoretical	theoretical	ADJ
ejpam-3455	24	20	,	,	PUNCT
ejpam-3455	24	21	industrial	industrial	ADJ
ejpam-3455	24	22	and	and	CCONJ
ejpam-3455	24	23	engineering	engineering	NOUN
ejpam-3455	24	24	fields	field	NOUN
ejpam-3455	24	25	and	and	CCONJ
ejpam-3455	24	26	it	it	PRON
ejpam-3455	24	27	additionally	additionally	ADV
ejpam-3455	24	28	happens	happen	VERB
ejpam-3455	24	29	in	in	ADP
ejpam-3455	24	30	biological	biological	ADJ
ejpam-3455	24	31	studies	study	NOUN
ejpam-3455	24	32	like	like	ADP
ejpam-3455	24	33	acoustic	acoustic	ADJ
ejpam-3455	24	34	gushing	gushing	NOUN
ejpam-3455	24	35	around	around	ADP
ejpam-3455	24	36	oscillatory	oscillatory	ADJ
ejpam-3455	24	37	object	object	NOUN
ejpam-3455	24	38	,	,	PUNCT
ejpam-3455	24	39	quasiperiodic	quasiperiodic	ADJ
ejpam-3455	24	40	flow	flow	NOUN
ejpam-3455	24	41	of	of	ADP
ejpam-3455	24	42	blood	blood	NOUN
ejpam-3455	24	43	in	in	ADP
ejpam-3455	24	44	cardiovascular	cardiovascular	ADJ
ejpam-3455	24	45	system	system	NOUN
ejpam-3455	24	46	,	,	PUNCT
ejpam-3455	24	47	fluctuating	fluctuate	VERB
ejpam-3455	24	48	unsteady	unsteady	ADJ
ejpam-3455	24	49	boundary	boundary	ADJ
ejpam-3455	24	50	layer	layer	NOUN
ejpam-3455	24	51	flow	flow	NOUN
ejpam-3455	24	52	and	and	CCONJ
ejpam-3455	24	53	flow	flow	NOUN
ejpam-3455	24	54	in	in	ADP
ejpam-3455	24	55	vibrating	vibrate	VERB
ejpam-3455	24	56	media	medium	NOUN
ejpam-3455	24	57	.	.	PUNCT
ejpam-3455	25	1	in	in	ADP
ejpam-3455	25	2	1886	1886	NUM
ejpam-3455	25	3	,	,	PUNCT
ejpam-3455	25	4	stokes	stoke	VERB
ejpam-3455	25	5	[	[	X
ejpam-3455	25	6	25	25	NUM
ejpam-3455	25	7	]	]	PUNCT
ejpam-3455	25	8	solved	solve	VERB
ejpam-3455	25	9	the	the	DET
ejpam-3455	25	10	problem	problem	NOUN
ejpam-3455	25	11	for	for	ADP
ejpam-3455	25	12	viscous	viscous	ADJ
ejpam-3455	25	13	fluid	fluid	NOUN
ejpam-3455	25	14	flow	flow	NOUN
ejpam-3455	25	15	induced	induce	VERB
ejpam-3455	25	16	by	by	ADP
ejpam-3455	25	17	rotatory	rotatory	ADJ
ejpam-3455	25	18	oscillating	oscillate	VERB
ejpam-3455	25	19	infinite	infinite	ADJ
ejpam-3455	25	20	rod	rod	NOUN
ejpam-3455	25	21	.	.	PUNCT
ejpam-3455	26	1	the	the	DET
ejpam-3455	26	2	viscous	viscous	ADJ
ejpam-3455	26	3	fluid	fluid	NOUN
ejpam-3455	26	4	flow	flow	NOUN
ejpam-3455	26	5	due	due	ADP
ejpam-3455	26	6	to	to	ADP
ejpam-3455	26	7	oscillatory	oscillatory	ADJ
ejpam-3455	26	8	shearing	shearing	NOUN
ejpam-3455	26	9	movement	movement	NOUN
ejpam-3455	26	10	of	of	ADP
ejpam-3455	26	11	an	an	DET
ejpam-3455	26	12	infinite	infinite	ADJ
ejpam-3455	26	13	flat	flat	ADJ
ejpam-3455	26	14	plate	plate	NOUN
ejpam-3455	26	15	is	be	AUX
ejpam-3455	26	16	termed	term	VERB
ejpam-3455	26	17	as	as	ADP
ejpam-3455	26	18	stokes	stokes	PROPN
ejpam-3455	26	19	second	second	ADJ
ejpam-3455	26	20	problem	problem	NOUN
ejpam-3455	26	21	and	and	CCONJ
ejpam-3455	26	22	couette	couette	NOUN
ejpam-3455	26	23	flow	flow	NOUN
ejpam-3455	26	24	if	if	SCONJ
ejpam-3455	26	25	two	two	NUM
ejpam-3455	26	26	parallel	parallel	ADJ
ejpam-3455	26	27	walls	wall	NOUN
ejpam-3455	26	28	bound	bind	VERB
ejpam-3455	26	29	the	the	DET
ejpam-3455	26	30	fluid	fluid	NOUN
ejpam-3455	26	31	.	.	PUNCT
ejpam-3455	27	1	the	the	DET
ejpam-3455	27	2	close	close	ADJ
ejpam-3455	27	3	form	form	NOUN
ejpam-3455	27	4	transient	transient	NOUN
ejpam-3455	27	5	solution	solution	NOUN
ejpam-3455	27	6	to	to	ADP
ejpam-3455	27	7	the	the	DET
ejpam-3455	27	8	viscous	viscous	ADJ
ejpam-3455	27	9	flow	flow	NOUN
ejpam-3455	27	10	because	because	SCONJ
ejpam-3455	27	11	an	an	DET
ejpam-3455	27	12	oscillatory	oscillatory	ADJ
ejpam-3455	27	13	plate	plate	NOUN
ejpam-3455	27	14	was	be	AUX
ejpam-3455	27	15	firstly	firstly	ADV
ejpam-3455	27	16	presented	present	VERB
ejpam-3455	27	17	by	by	ADP
ejpam-3455	27	18	fenton	fenton	NOUN
ejpam-3455	28	1	[	[	X
ejpam-3455	28	2	12	12	NUM
ejpam-3455	28	3	]	]	PUNCT
ejpam-3455	28	4	.	.	PUNCT
ejpam-3455	29	1	erdogan	erdogan	PROPN
ejpam-3455	30	1	[	[	X
ejpam-3455	30	2	10	10	NUM
ejpam-3455	30	3	]	]	PUNCT
ejpam-3455	30	4	determined	determine	VERB
ejpam-3455	30	5	the	the	DET
ejpam-3455	30	6	two	two	NUM
ejpam-3455	30	7	beginning	begin	VERB
ejpam-3455	30	8	solutions	solution	NOUN
ejpam-3455	30	9	to	to	ADP
ejpam-3455	30	10	viscous	viscous	ADJ
ejpam-3455	30	11	flow	flow	NOUN
ejpam-3455	30	12	produced	produce	VERB
ejpam-3455	30	13	by	by	ADP
ejpam-3455	30	14	oscillatory	oscillatory	ADJ
ejpam-3455	30	15	movement	movement	NOUN
ejpam-3455	30	16	of	of	ADP
ejpam-3455	30	17	the	the	DET
ejpam-3455	30	18	plate	plate	NOUN
ejpam-3455	30	19	and	and	CCONJ
ejpam-3455	30	20	concluded	conclude	VERB
ejpam-3455	30	21	that	that	SCONJ
ejpam-3455	30	22	steady	steady	ADJ
ejpam-3455	30	23	-	-	PUNCT
ejpam-3455	30	24	state	state	NOUN
ejpam-3455	30	25	streams	stream	NOUN
ejpam-3455	30	26	are	be	AUX
ejpam-3455	30	27	set	set	VERB
ejpam-3455	30	28	up	up	ADP
ejpam-3455	30	29	with	with	ADP
ejpam-3455	30	30	same	same	ADJ
ejpam-3455	30	31	recurrence	recurrence	NOUN
ejpam-3455	30	32	as	as	ADP
ejpam-3455	30	33	the	the	DET
ejpam-3455	30	34	boundary	boundary	ADJ
ejpam-3455	30	35	velocity	velocity	NOUN
ejpam-3455	30	36	.	.	PUNCT
ejpam-3455	31	1	yin	yin	PROPN
ejpam-3455	32	1	[	[	X
ejpam-3455	32	2	27	27	NUM
ejpam-3455	32	3	]	]	PUNCT
ejpam-3455	32	4	investigated	investigate	VERB
ejpam-3455	32	5	some	some	DET
ejpam-3455	32	6	similarities	similarity	NOUN
ejpam-3455	32	7	and	and	CCONJ
ejpam-3455	32	8	differences	difference	NOUN
ejpam-3455	32	9	between	between	ADP
ejpam-3455	32	10	classical	classical	ADJ
ejpam-3455	32	11	and	and	CCONJ
ejpam-3455	32	12	fractional	fractional	ADJ
ejpam-3455	32	13	maxwell	maxwell	PROPN
ejpam-3455	32	14	model	model	NOUN
ejpam-3455	32	15	and	and	CCONJ
ejpam-3455	32	16	determined	determine	VERB
ejpam-3455	32	17	the	the	DET
ejpam-3455	32	18	exact	exact	ADJ
ejpam-3455	32	19	solutions	solution	NOUN
ejpam-3455	32	20	in	in	ADP
ejpam-3455	32	21	time	time	NOUN
ejpam-3455	32	22	and	and	CCONJ
ejpam-3455	32	23	frequency	frequency	NOUN
ejpam-3455	32	24	domains	domain	NOUN
ejpam-3455	32	25	showing	show	VERB
ejpam-3455	32	26	that	that	SCONJ
ejpam-3455	32	27	fractional	fractional	ADJ
ejpam-3455	32	28	model	model	NOUN
ejpam-3455	32	29	can	can	AUX
ejpam-3455	32	30	describe	describe	VERB
ejpam-3455	32	31	the	the	DET
ejpam-3455	32	32	real	real	ADJ
ejpam-3455	32	33	viscoelastic	viscoelastic	NOUN
ejpam-3455	32	34	fluids	fluid	NOUN
ejpam-3455	32	35	better	well	ADJ
ejpam-3455	32	36	than	than	ADP
ejpam-3455	32	37	classical	classical	ADJ
ejpam-3455	32	38	linear	linear	PROPN
ejpam-3455	32	39	model[3	model[3	PROPN
ejpam-3455	32	40	,	,	PUNCT
ejpam-3455	32	41	6	6	NUM
ejpam-3455	32	42	,	,	PUNCT
ejpam-3455	32	43	14	14	NUM
ejpam-3455	32	44	,	,	PUNCT
ejpam-3455	32	45	26	26	NUM
ejpam-3455	32	46	]	]	PUNCT
ejpam-3455	32	47	.	.	PUNCT
ejpam-3455	33	1	gomez	gomez	PROPN
ejpam-3455	33	2	-	-	PUNCT
ejpam-3455	33	3	aguilar	aguilar	PROPN
ejpam-3455	33	4	[	[	X
ejpam-3455	33	5	13	13	NUM
ejpam-3455	33	6	]	]	PUNCT
ejpam-3455	33	7	solved	solve	VERB
ejpam-3455	33	8	nonlinear	nonlinear	ADJ
ejpam-3455	33	9	fractional	fractional	ADJ
ejpam-3455	33	10	partial	partial	ADJ
ejpam-3455	33	11	differential	differential	NOUN
ejpam-3455	33	12	equation	equation	NOUN
ejpam-3455	33	13	using	use	VERB
ejpam-3455	33	14	homotopy	homotopy	NOUN
ejpam-3455	33	15	perturbation	perturbation	NOUN
ejpam-3455	33	16	transform	transform	NOUN
ejpam-3455	33	17	method	method	NOUN
ejpam-3455	33	18	and	and	CCONJ
ejpam-3455	33	19	presented	present	VERB
ejpam-3455	33	20	a	a	DET
ejpam-3455	33	21	rapidly	rapidly	ADV
ejpam-3455	33	22	converging	converge	VERB
ejpam-3455	33	23	solution	solution	NOUN
ejpam-3455	33	24	in	in	ADP
ejpam-3455	33	25	series	series	NOUN
ejpam-3455	33	26	form	form	NOUN
ejpam-3455	33	27	.	.	PUNCT
ejpam-3455	34	1	exact	exact	ADJ
ejpam-3455	34	2	solution	solution	NOUN
ejpam-3455	34	3	for	for	ADP
ejpam-3455	34	4	stokes	stoke	NOUN
ejpam-3455	34	5	second	second	ADJ
ejpam-3455	34	6	problem	problem	NOUN
ejpam-3455	34	7	and	and	CCONJ
ejpam-3455	34	8	the	the	DET
ejpam-3455	34	9	solutions	solution	NOUN
ejpam-3455	34	10	for	for	ADP
ejpam-3455	34	11	maxwell	maxwell	PROPN
ejpam-3455	34	12	fluid	fluid	NOUN
ejpam-3455	34	13	due	due	ADP
ejpam-3455	34	14	to	to	ADP
ejpam-3455	34	15	oscillating	oscillate	VERB
ejpam-3455	34	16	plate	plate	NOUN
ejpam-3455	34	17	were	be	AUX
ejpam-3455	34	18	obtained	obtain	VERB
ejpam-3455	34	19	by	by	ADP
ejpam-3455	34	20	fetecau	fetecau	NOUN
ejpam-3455	34	21	[	[	X
ejpam-3455	34	22	8	8	NUM
ejpam-3455	34	23	]	]	PUNCT
ejpam-3455	34	24	,	,	PUNCT
ejpam-3455	34	25	he	he	PRON
ejpam-3455	34	26	presented	present	VERB
ejpam-3455	34	27	the	the	DET
ejpam-3455	34	28	results	result	NOUN
ejpam-3455	34	29	as	as	ADP
ejpam-3455	34	30	a	a	DET
ejpam-3455	34	31	sum	sum	NOUN
ejpam-3455	34	32	of	of	ADP
ejpam-3455	34	33	steady	steady	ADJ
ejpam-3455	34	34	state	state	NOUN
ejpam-3455	34	35	and	and	CCONJ
ejpam-3455	34	36	transient	transient	VERB
ejpam-3455	34	37	part	part	NOUN
ejpam-3455	34	38	where	where	SCONJ
ejpam-3455	34	39	the	the	DET
ejpam-3455	34	40	transients	transient	NOUN
ejpam-3455	34	41	disappear	disappear	VERB
ejpam-3455	34	42	for	for	ADP
ejpam-3455	34	43	large	large	ADJ
ejpam-3455	34	44	times	time	NOUN
ejpam-3455	34	45	,	,	PUNCT
ejpam-3455	34	46	while	while	SCONJ
ejpam-3455	34	47	the	the	DET
ejpam-3455	34	48	time	time	NOUN
ejpam-3455	34	49	required	require	VERB
ejpam-3455	34	50	to	to	PART
ejpam-3455	34	51	reach	reach	VERB
ejpam-3455	34	52	the	the	DET
ejpam-3455	34	53	steady	steady	ADJ
ejpam-3455	34	54	state	state	NOUN
ejpam-3455	34	55	for	for	ADP
ejpam-3455	34	56	cosine	cosine	NOUN
ejpam-3455	34	57	oscillations	oscillation	NOUN
ejpam-3455	34	58	of	of	ADP
ejpam-3455	34	59	the	the	DET
ejpam-3455	34	60	plate	plate	NOUN
ejpam-3455	34	61	is	be	AUX
ejpam-3455	34	62	smaller	small	ADJ
ejpam-3455	34	63	than	than	ADP
ejpam-3455	34	64	that	that	PRON
ejpam-3455	34	65	for	for	ADP
ejpam-3455	34	66	the	the	DET
ejpam-3455	34	67	sine	sine	ADJ
ejpam-3455	34	68	oscillations	oscillation	NOUN
ejpam-3455	34	69	.	.	PUNCT
ejpam-3455	35	1	khan	khan	PROPN
ejpam-3455	36	1	[	[	X
ejpam-3455	36	2	28	28	NUM
ejpam-3455	36	3	]	]	PUNCT
ejpam-3455	36	4	investigated	investigate	VERB
ejpam-3455	36	5	dual	dual	ADJ
ejpam-3455	36	6	nature	nature	NOUN
ejpam-3455	36	7	solution	solution	NOUN
ejpam-3455	36	8	of	of	ADP
ejpam-3455	36	9	fluid	fluid	ADJ
ejpam-3455	36	10	flow	flow	NOUN
ejpam-3455	36	11	in	in	ADP
ejpam-3455	36	12	porous	porous	ADJ
ejpam-3455	36	13	medium	medium	NOUN
ejpam-3455	36	14	and	and	CCONJ
ejpam-3455	36	15	observed	observe	VERB
ejpam-3455	36	16	no	no	DET
ejpam-3455	36	17	appreciable	appreciable	ADJ
ejpam-3455	36	18	effect	effect	NOUN
ejpam-3455	36	19	of	of	ADP
ejpam-3455	36	20	slip	slip	NOUN
ejpam-3455	36	21	on	on	ADP
ejpam-3455	36	22	dimensionless	dimensionless	ADJ
ejpam-3455	36	23	velocity	velocity	NOUN
ejpam-3455	36	24	in	in	ADP
ejpam-3455	36	25	upper	upper	ADJ
ejpam-3455	36	26	branch	branch	NOUN
ejpam-3455	36	27	solution	solution	NOUN
ejpam-3455	36	28	.	.	PUNCT
ejpam-3455	37	1	agkul	agkul	PROPN
ejpam-3455	38	1	[	[	X
ejpam-3455	38	2	1	1	X
ejpam-3455	38	3	]	]	PUNCT
ejpam-3455	38	4	obtained	obtain	VERB
ejpam-3455	38	5	uniformly	uniformly	ADV
ejpam-3455	38	6	convergent	convergent	ADJ
ejpam-3455	38	7	solutions	solution	NOUN
ejpam-3455	38	8	of	of	ADP
ejpam-3455	38	9	a	a	DET
ejpam-3455	38	10	class	class	NOUN
ejpam-3455	38	11	of	of	ADP
ejpam-3455	38	12	variable	variable	ADJ
ejpam-3455	38	13	order	order	NOUN
ejpam-3455	38	14	fractional	fractional	ADJ
ejpam-3455	38	15	order	order	NOUN
ejpam-3455	38	16	differential	differential	ADJ
ejpam-3455	38	17	equations	equation	NOUN
ejpam-3455	38	18	by	by	ADP
ejpam-3455	38	19	reproducing	reproduce	VERB
ejpam-3455	38	20	kernel	kernel	NOUN
ejpam-3455	38	21	method	method	NOUN
ejpam-3455	38	22	and	and	CCONJ
ejpam-3455	38	23	proved	prove	VERB
ejpam-3455	38	24	its	its	PRON
ejpam-3455	38	25	m.	m.	NOUN
ejpam-3455	38	26	jamil	jamil	PROPN
ejpam-3455	38	27	,	,	PUNCT
ejpam-3455	38	28	i.	i.	PROPN
ejpam-3455	38	29	ahmed	ahmed	PROPN
ejpam-3455	38	30	/	/	PUNCT
ejpam-3455	38	31	eur	eur	PROPN
ejpam-3455	38	32	.	.	PUNCT
ejpam-3455	39	1	j.	j.	PROPN
ejpam-3455	39	2	pure	pure	PROPN
ejpam-3455	39	3	appl	appl	PROPN
ejpam-3455	39	4	.	.	PROPN
ejpam-3455	39	5	math	math	PROPN
ejpam-3455	39	6	,	,	PUNCT
ejpam-3455	39	7	12	12	NUM
ejpam-3455	39	8	(	(	PUNCT
ejpam-3455	39	9	3	3	NUM
ejpam-3455	39	10	)	)	PUNCT
ejpam-3455	39	11	(	(	PUNCT
ejpam-3455	39	12	2019	2019	NUM
ejpam-3455	39	13	)	)	PUNCT
ejpam-3455	39	14	,	,	PUNCT
ejpam-3455	39	15	1018	1018	NUM
ejpam-3455	39	16	-	-	SYM
ejpam-3455	39	17	1051	1051	NUM
ejpam-3455	39	18	1020	1020	NUM
ejpam-3455	39	19	applicability	applicability	NOUN
ejpam-3455	39	20	and	and	CCONJ
ejpam-3455	39	21	validity	validity	NOUN
ejpam-3455	39	22	by	by	ADP
ejpam-3455	39	23	comparing	compare	VERB
ejpam-3455	39	24	with	with	ADP
ejpam-3455	39	25	other	other	ADJ
ejpam-3455	39	26	numerical	numerical	ADJ
ejpam-3455	39	27	and	and	CCONJ
ejpam-3455	39	28	exact	exact	ADJ
ejpam-3455	39	29	solutions	solution	NOUN
ejpam-3455	39	30	he	he	PRON
ejpam-3455	39	31	also	also	ADV
ejpam-3455	39	32	checked	check	VERB
ejpam-3455	39	33	the	the	DET
ejpam-3455	39	34	accuracy	accuracy	NOUN
ejpam-3455	39	35	and	and	CCONJ
ejpam-3455	39	36	efficiency	efficiency	NOUN
ejpam-3455	39	37	of	of	ADP
ejpam-3455	39	38	reproducing	reproduce	VERB
ejpam-3455	39	39	kernel	kernel	PROPN
ejpam-3455	39	40	method	method	PROPN
ejpam-3455	39	41	finding	find	VERB
ejpam-3455	39	42	approximate	approximate	ADJ
ejpam-3455	39	43	solution	solution	NOUN
ejpam-3455	39	44	of	of	ADP
ejpam-3455	39	45	viscoelastic	viscoelastic	ADJ
ejpam-3455	39	46	fluid	fluid	NOUN
ejpam-3455	39	47	model	model	NOUN
ejpam-3455	39	48	.	.	PUNCT
ejpam-3455	40	1	zheng	zheng	PROPN
ejpam-3455	41	1	[	[	X
ejpam-3455	41	2	17	17	NUM
ejpam-3455	41	3	]	]	PUNCT
ejpam-3455	41	4	presented	present	VERB
ejpam-3455	41	5	the	the	DET
ejpam-3455	41	6	exact	exact	ADJ
ejpam-3455	41	7	analytical	analytical	ADJ
ejpam-3455	41	8	solutions	solution	NOUN
ejpam-3455	41	9	in	in	ADP
ejpam-3455	41	10	terms	term	NOUN
ejpam-3455	41	11	of	of	ADP
ejpam-3455	41	12	generalized	generalized	ADJ
ejpam-3455	41	13	g	g	NOUN
ejpam-3455	41	14	and	and	CCONJ
ejpam-3455	41	15	r	r	NOUN
ejpam-3455	41	16	functions	function	NOUN
ejpam-3455	41	17	for	for	ADP
ejpam-3455	41	18	fractionalized	fractionalize	VERB
ejpam-3455	41	19	maxwell	maxwell	PROPN
ejpam-3455	41	20	fluid	fluid	NOUN
ejpam-3455	41	21	flow	flow	NOUN
ejpam-3455	41	22	because	because	SCONJ
ejpam-3455	41	23	of	of	ADP
ejpam-3455	41	24	oscillating	oscillating	NOUN
ejpam-3455	41	25	and	and	CCONJ
ejpam-3455	41	26	regularly	regularly	ADV
ejpam-3455	41	27	quickening	quicken	VERB
ejpam-3455	41	28	plate	plate	NOUN
ejpam-3455	41	29	and	and	CCONJ
ejpam-3455	41	30	examined	examine	VERB
ejpam-3455	41	31	that	that	DET
ejpam-3455	41	32	velocity	velocity	NOUN
ejpam-3455	41	33	is	be	AUX
ejpam-3455	41	34	the	the	DET
ejpam-3455	41	35	function	function	NOUN
ejpam-3455	41	36	of	of	ADP
ejpam-3455	41	37	frequency	frequency	NOUN
ejpam-3455	41	38	of	of	ADP
ejpam-3455	41	39	oscillating	oscillate	VERB
ejpam-3455	41	40	plate	plate	NOUN
ejpam-3455	41	41	,	,	PUNCT
ejpam-3455	41	42	increasing	increase	VERB
ejpam-3455	41	43	for	for	ADP
ejpam-3455	41	44	cosine	cosine	NOUN
ejpam-3455	41	45	and	and	CCONJ
ejpam-3455	41	46	decreasing	decrease	VERB
ejpam-3455	41	47	for	for	ADP
ejpam-3455	41	48	sine	sine	ADJ
ejpam-3455	41	49	oscillations	oscillation	NOUN
ejpam-3455	41	50	.	.	PUNCT
ejpam-3455	42	1	the	the	DET
ejpam-3455	42	2	effect	effect	NOUN
ejpam-3455	42	3	of	of	ADP
ejpam-3455	42	4	slip	slip	NOUN
ejpam-3455	42	5	on	on	ADP
ejpam-3455	42	6	non	non	ADJ
ejpam-3455	42	7	-	-	ADJ
ejpam-3455	42	8	newtonian	newtonian	ADJ
ejpam-3455	42	9	fluid	fluid	ADJ
ejpam-3455	42	10	flow	flow	NOUN
ejpam-3455	42	11	is	be	AUX
ejpam-3455	42	12	the	the	DET
ejpam-3455	42	13	core	core	NOUN
ejpam-3455	42	14	issue	issue	NOUN
ejpam-3455	42	15	in	in	ADP
ejpam-3455	42	16	technological	technological	ADJ
ejpam-3455	42	17	applications	application	NOUN
ejpam-3455	42	18	since	since	SCONJ
ejpam-3455	42	19	in	in	ADP
ejpam-3455	42	20	polymer	polymer	NOUN
ejpam-3455	42	21	rheological	rheological	ADJ
ejpam-3455	42	22	flow	flow	NOUN
ejpam-3455	42	23	the	the	DET
ejpam-3455	42	24	polymer	polymer	NOUN
ejpam-3455	42	25	melts	melt	NOUN
ejpam-3455	42	26	exhibit	exhibit	VERB
ejpam-3455	42	27	tangible	tangible	ADJ
ejpam-3455	42	28	macroscopic	macroscopic	ADJ
ejpam-3455	42	29	wall	wall	NOUN
ejpam-3455	42	30	slip	slip	NOUN
ejpam-3455	42	31	which	which	PRON
ejpam-3455	42	32	is	be	AUX
ejpam-3455	42	33	lack	lack	NOUN
ejpam-3455	42	34	of	of	ADP
ejpam-3455	42	35	continuity	continuity	NOUN
ejpam-3455	42	36	in	in	ADP
ejpam-3455	42	37	the	the	DET
ejpam-3455	42	38	velocity	velocity	NOUN
ejpam-3455	42	39	field	field	NOUN
ejpam-3455	42	40	in	in	ADP
ejpam-3455	42	41	solid	solid	ADJ
ejpam-3455	42	42	-	-	PUNCT
ejpam-3455	42	43	fluid	fluid	ADJ
ejpam-3455	42	44	interface	interface	NOUN
ejpam-3455	42	45	usually	usually	ADV
ejpam-3455	42	46	caused	cause	VERB
ejpam-3455	42	47	by	by	ADP
ejpam-3455	42	48	wall	wall	PROPN
ejpam-3455	42	49	surface	surface	PROPN
ejpam-3455	42	50	texture	texture	NOUN
ejpam-3455	42	51	,	,	PUNCT
ejpam-3455	42	52	material	material	NOUN
ejpam-3455	42	53	rheology	rheology	NOUN
ejpam-3455	42	54	of	of	ADP
ejpam-3455	42	55	fluids	fluid	NOUN
ejpam-3455	42	56	,	,	PUNCT
ejpam-3455	42	57	low	low	ADJ
ejpam-3455	42	58	viscosity	viscosity	NOUN
ejpam-3455	42	59	layers	layer	NOUN
ejpam-3455	42	60	,	,	PUNCT
ejpam-3455	42	61	thin	thin	ADJ
ejpam-3455	42	62	lubricating	lubricate	VERB
ejpam-3455	42	63	layers	layer	NOUN
ejpam-3455	42	64	,	,	PUNCT
ejpam-3455	42	65	resin	resin	NOUN
ejpam-3455	42	66	-	-	PUNCT
ejpam-3455	42	67	rich	rich	ADJ
ejpam-3455	42	68	formation	formation	NOUN
ejpam-3455	42	69	,	,	PUNCT
ejpam-3455	42	70	large	large	ADJ
ejpam-3455	42	71	velocity	velocity	NOUN
ejpam-3455	42	72	gradients	gradient	NOUN
ejpam-3455	42	73	,	,	PUNCT
ejpam-3455	42	74	dismantling	dismantle	VERB
ejpam-3455	42	75	of	of	ADP
ejpam-3455	42	76	network	network	NOUN
ejpam-3455	42	77	structure	structure	NOUN
ejpam-3455	42	78	,	,	PUNCT
ejpam-3455	42	79	adhesion	adhesion	NOUN
ejpam-3455	42	80	loss	loss	NOUN
ejpam-3455	42	81	are	be	AUX
ejpam-3455	42	82	the	the	DET
ejpam-3455	42	83	presents	present	NOUN
ejpam-3455	42	84	of	of	ADP
ejpam-3455	42	85	oil	oil	NOUN
ejpam-3455	42	86	at	at	ADP
ejpam-3455	42	87	the	the	DET
ejpam-3455	42	88	wall	wall	NOUN
ejpam-3455	42	89	.	.	PUNCT
ejpam-3455	43	1	the	the	DET
ejpam-3455	43	2	boundary	boundary	ADJ
ejpam-3455	43	3	slip	slip	NOUN
ejpam-3455	43	4	is	be	AUX
ejpam-3455	43	5	significant	significant	ADJ
ejpam-3455	43	6	in	in	ADP
ejpam-3455	43	7	non	non	ADJ
ejpam-3455	43	8	-	-	ADJ
ejpam-3455	43	9	natural	natural	ADJ
ejpam-3455	43	10	heart	heart	NOUN
ejpam-3455	43	11	valves	valve	NOUN
ejpam-3455	43	12	polishing	polish	VERB
ejpam-3455	43	13	,	,	PUNCT
ejpam-3455	43	14	hysteresis	hysteresis	NOUN
ejpam-3455	43	15	,	,	PUNCT
ejpam-3455	43	16	rarefied	rarefied	ADJ
ejpam-3455	43	17	fluid	fluid	NOUN
ejpam-3455	43	18	flow	flow	NOUN
ejpam-3455	43	19	and	and	CCONJ
ejpam-3455	43	20	multiple	multiple	ADJ
ejpam-3455	43	21	inter	inter	ADJ
ejpam-3455	43	22	face	face	NOUN
ejpam-3455	43	23	flow	flow	NOUN
ejpam-3455	43	24	.	.	PUNCT
ejpam-3455	44	1	the	the	DET
ejpam-3455	44	2	fluid	fluid	ADJ
ejpam-3455	44	3	velocity	velocity	NOUN
ejpam-3455	44	4	is	be	AUX
ejpam-3455	44	5	linearly	linearly	ADV
ejpam-3455	44	6	proportional	proportional	ADJ
ejpam-3455	44	7	to	to	PART
ejpam-3455	44	8	shear	shear	VERB
ejpam-3455	44	9	stress	stress	NOUN
ejpam-3455	44	10	at	at	ADP
ejpam-3455	44	11	the	the	DET
ejpam-3455	44	12	wall	wall	NOUN
ejpam-3455	44	13	.	.	PUNCT
ejpam-3455	45	1	mooney	mooney	PROPN
ejpam-3455	46	1	[	[	X
ejpam-3455	46	2	20	20	NUM
ejpam-3455	46	3	]	]	PUNCT
ejpam-3455	46	4	quantified	quantify	VERB
ejpam-3455	46	5	the	the	DET
ejpam-3455	46	6	slip	slip	NOUN
ejpam-3455	46	7	during	during	ADP
ejpam-3455	46	8	the	the	DET
ejpam-3455	46	9	movement	movement	NOUN
ejpam-3455	46	10	of	of	ADP
ejpam-3455	46	11	a	a	DET
ejpam-3455	46	12	newtonian	newtonian	ADJ
ejpam-3455	46	13	fluid	fluid	NOUN
ejpam-3455	46	14	inside	inside	ADP
ejpam-3455	46	15	a	a	DET
ejpam-3455	46	16	capillary	capillary	ADJ
ejpam-3455	46	17	viscometer	viscometer	NOUN
ejpam-3455	46	18	dependent	dependent	ADJ
ejpam-3455	46	19	on	on	ADP
ejpam-3455	46	20	a	a	DET
ejpam-3455	46	21	hydrodynamical	hydrodynamical	ADJ
ejpam-3455	46	22	theory	theory	NOUN
ejpam-3455	46	23	and	and	CCONJ
ejpam-3455	46	24	concluded	conclude	VERB
ejpam-3455	46	25	that	that	SCONJ
ejpam-3455	46	26	fluid	fluid	ADJ
ejpam-3455	46	27	velocity	velocity	NOUN
ejpam-3455	46	28	is	be	AUX
ejpam-3455	46	29	directly	directly	ADV
ejpam-3455	46	30	related	relate	VERB
ejpam-3455	46	31	to	to	ADP
ejpam-3455	46	32	normal	normal	ADJ
ejpam-3455	46	33	stress	stress	NOUN
ejpam-3455	46	34	at	at	ADP
ejpam-3455	46	35	the	the	DET
ejpam-3455	46	36	enclosure	enclosure	NOUN
ejpam-3455	46	37	.	.	PUNCT
ejpam-3455	47	1	beavers	beaver	NOUN
ejpam-3455	47	2	[	[	X
ejpam-3455	47	3	7	7	X
ejpam-3455	47	4	]	]	PUNCT
ejpam-3455	47	5	introduced	introduce	VERB
ejpam-3455	47	6	a	a	DET
ejpam-3455	47	7	slip	slip	NOUN
ejpam-3455	47	8	stream	stream	NOUN
ejpam-3455	47	9	condition	condition	NOUN
ejpam-3455	47	10	at	at	ADP
ejpam-3455	47	11	the	the	DET
ejpam-3455	47	12	enclosure	enclosure	NOUN
ejpam-3455	47	13	.	.	PUNCT
ejpam-3455	48	1	before	before	ADP
ejpam-3455	48	2	the	the	DET
ejpam-3455	48	3	occurrence	occurrence	NOUN
ejpam-3455	48	4	of	of	ADP
ejpam-3455	48	5	slip	slip	NOUN
ejpam-3455	48	6	,	,	PUNCT
ejpam-3455	48	7	the	the	DET
ejpam-3455	48	8	magnitude	magnitude	NOUN
ejpam-3455	48	9	of	of	ADP
ejpam-3455	48	10	shear	shear	NOUN
ejpam-3455	48	11	stress	stress	NOUN
ejpam-3455	48	12	tends	tend	VERB
ejpam-3455	48	13	to	to	ADP
ejpam-3455	48	14	some	some	DET
ejpam-3455	48	15	critical	critical	ADJ
ejpam-3455	48	16	value	value	NOUN
ejpam-3455	48	17	,	,	PUNCT
ejpam-3455	48	18	termed	term	VERB
ejpam-3455	48	19	as	as	SCONJ
ejpam-3455	48	20	the	the	DET
ejpam-3455	48	21	slip	slip	NOUN
ejpam-3455	48	22	yield	yield	VERB
ejpam-3455	48	23	stress	stress	NOUN
ejpam-3455	48	24	and	and	CCONJ
ejpam-3455	48	25	fluid	fluid	ADJ
ejpam-3455	48	26	velocity	velocity	NOUN
ejpam-3455	48	27	is	be	AUX
ejpam-3455	48	28	related	relate	VERB
ejpam-3455	48	29	to	to	ADP
ejpam-3455	48	30	normal	normal	ADJ
ejpam-3455	48	31	stress	stress	NOUN
ejpam-3455	48	32	at	at	ADP
ejpam-3455	48	33	the	the	DET
ejpam-3455	48	34	enclosure	enclosure	NOUN
ejpam-3455	48	35	[	[	X
ejpam-3455	48	36	9	9	NUM
ejpam-3455	48	37	]	]	PUNCT
ejpam-3455	48	38	.	.	PUNCT
ejpam-3455	49	1	for	for	ADP
ejpam-3455	49	2	dual	dual	ADJ
ejpam-3455	49	3	slip	slip	NOUN
ejpam-3455	49	4	wall	wall	NOUN
ejpam-3455	49	5	effects	effect	NOUN
ejpam-3455	49	6	,	,	PUNCT
ejpam-3455	49	7	the	the	DET
ejpam-3455	49	8	slip	slip	NOUN
ejpam-3455	49	9	initiates	initiate	VERB
ejpam-3455	49	10	first	first	ADV
ejpam-3455	49	11	at	at	ADP
ejpam-3455	49	12	internal	internal	ADJ
ejpam-3455	49	13	divider	divider	NOUN
ejpam-3455	49	14	from	from	ADP
ejpam-3455	49	15	there	there	ADV
ejpam-3455	49	16	on	on	ADP
ejpam-3455	49	17	at	at	ADP
ejpam-3455	49	18	the	the	DET
ejpam-3455	49	19	external	external	ADJ
ejpam-3455	49	20	enclosure	enclosure	NOUN
ejpam-3455	49	21	,	,	PUNCT
ejpam-3455	49	22	and	and	CCONJ
ejpam-3455	49	23	it	it	PRON
ejpam-3455	49	24	has	have	VERB
ejpam-3455	49	25	three	three	NUM
ejpam-3455	49	26	stream	stream	NOUN
ejpam-3455	49	27	routines	routine	NOUN
ejpam-3455	49	28	,	,	PUNCT
ejpam-3455	49	29	the	the	DET
ejpam-3455	49	30	no	no	DET
ejpam-3455	49	31	slip	slip	NOUN
ejpam-3455	49	32	,	,	PUNCT
ejpam-3455	49	33	slip	slip	VERB
ejpam-3455	49	34	just	just	ADV
ejpam-3455	49	35	at	at	ADP
ejpam-3455	49	36	inward	inward	ADV
ejpam-3455	49	37	divider	divider	NOUN
ejpam-3455	49	38	and	and	CCONJ
ejpam-3455	49	39	slip	slip	VERB
ejpam-3455	49	40	at	at	ADP
ejpam-3455	49	41	the	the	DET
ejpam-3455	49	42	two	two	NUM
ejpam-3455	49	43	enclosures	enclosure	NOUN
ejpam-3455	49	44	.	.	PUNCT
ejpam-3455	50	1	the	the	DET
ejpam-3455	50	2	effects	effect	NOUN
ejpam-3455	50	3	of	of	ADP
ejpam-3455	50	4	slip	slip	NOUN
ejpam-3455	50	5	on	on	ADP
ejpam-3455	50	6	oscillating	oscillate	VERB
ejpam-3455	50	7	fractionalized	fractionalize	VERB
ejpam-3455	50	8	maxwell	maxwell	NOUN
ejpam-3455	50	9	fluid	fluid	NOUN
ejpam-3455	50	10	are	be	AUX
ejpam-3455	50	11	observed	observe	VERB
ejpam-3455	50	12	by	by	ADP
ejpam-3455	50	13	jamil	jamil	PROPN
ejpam-3455	50	14	[	[	X
ejpam-3455	50	15	15	15	NUM
ejpam-3455	50	16	]	]	PUNCT
ejpam-3455	50	17	and	and	CCONJ
ejpam-3455	50	18	concluded	conclude	VERB
ejpam-3455	50	19	that	that	SCONJ
ejpam-3455	50	20	oscillation	oscillation	NOUN
ejpam-3455	50	21	frequency	frequency	NOUN
ejpam-3455	50	22	and	and	CCONJ
ejpam-3455	50	23	amplitude	amplitude	NOUN
ejpam-3455	50	24	of	of	ADP
ejpam-3455	50	25	shear	shear	NOUN
ejpam-3455	50	26	stress	stress	NOUN
ejpam-3455	50	27	have	have	VERB
ejpam-3455	50	28	inverse	inverse	NOUN
ejpam-3455	50	29	relation	relation	NOUN
ejpam-3455	50	30	with	with	ADP
ejpam-3455	50	31	slip	slip	NOUN
ejpam-3455	50	32	parameter	parameter	NOUN
ejpam-3455	50	33	.	.	PUNCT
ejpam-3455	51	1	bhatti	bhatti	PROPN
ejpam-3455	52	1	[	[	X
ejpam-3455	52	2	16	16	NUM
ejpam-3455	52	3	]	]	PUNCT
ejpam-3455	52	4	considered	consider	VERB
ejpam-3455	52	5	unsteady	unsteady	ADJ
ejpam-3455	52	6	stokes	stoke	NOUN
ejpam-3455	52	7	flow	flow	VERB
ejpam-3455	52	8	through	through	ADP
ejpam-3455	52	9	porous	porous	ADJ
ejpam-3455	52	10	channel	channel	NOUN
ejpam-3455	52	11	with	with	ADP
ejpam-3455	52	12	periodic	periodic	ADJ
ejpam-3455	52	13	suction	suction	NOUN
ejpam-3455	52	14	and	and	CCONJ
ejpam-3455	52	15	injection	injection	NOUN
ejpam-3455	52	16	with	with	ADP
ejpam-3455	52	17	slip	slip	NOUN
ejpam-3455	52	18	conditions	condition	NOUN
ejpam-3455	52	19	and	and	CCONJ
ejpam-3455	52	20	analyzed	analyze	VERB
ejpam-3455	52	21	the	the	DET
ejpam-3455	52	22	impact	impact	NOUN
ejpam-3455	52	23	of	of	ADP
ejpam-3455	52	24	slip	slip	NOUN
ejpam-3455	52	25	on	on	ADP
ejpam-3455	52	26	axial	axial	ADJ
ejpam-3455	52	27	and	and	CCONJ
ejpam-3455	52	28	radial	radial	ADJ
ejpam-3455	52	29	velocity	velocity	NOUN
ejpam-3455	52	30	for	for	ADP
ejpam-3455	52	31	different	different	ADJ
ejpam-3455	52	32	values	value	NOUN
ejpam-3455	52	33	of	of	ADP
ejpam-3455	52	34	slip	slip	NOUN
ejpam-3455	52	35	parameters	parameter	NOUN
ejpam-3455	52	36	on	on	ADP
ejpam-3455	52	37	various	various	ADJ
ejpam-3455	52	38	cross	cross	NOUN
ejpam-3455	52	39	sections	section	NOUN
ejpam-3455	52	40	of	of	ADP
ejpam-3455	52	41	the	the	DET
ejpam-3455	52	42	channel	channel	NOUN
ejpam-3455	52	43	from	from	ADP
ejpam-3455	52	44	which	which	PRON
ejpam-3455	52	45	the	the	DET
ejpam-3455	52	46	fluid	fluid	NOUN
ejpam-3455	52	47	is	be	AUX
ejpam-3455	52	48	passed	pass	VERB
ejpam-3455	52	49	.	.	PUNCT
ejpam-3455	53	1	in	in	ADP
ejpam-3455	53	2	recent	recent	ADJ
ejpam-3455	53	3	years	year	NOUN
ejpam-3455	53	4	,	,	PUNCT
ejpam-3455	53	5	fang	fang	X
ejpam-3455	53	6	[	[	X
ejpam-3455	53	7	11	11	NUM
ejpam-3455	53	8	]	]	PUNCT
ejpam-3455	53	9	considered	consider	VERB
ejpam-3455	53	10	the	the	DET
ejpam-3455	53	11	second	second	ADJ
ejpam-3455	53	12	order	order	NOUN
ejpam-3455	53	13	slip	slip	NOUN
ejpam-3455	53	14	and	and	CCONJ
ejpam-3455	53	15	calculated	calculate	VERB
ejpam-3455	53	16	velocity	velocity	NOUN
ejpam-3455	53	17	in	in	ADP
ejpam-3455	53	18	closed	closed	ADJ
ejpam-3455	53	19	analytical	analytical	ADJ
ejpam-3455	53	20	form	form	NOUN
ejpam-3455	53	21	for	for	ADP
ejpam-3455	53	22	viscous	viscous	ADJ
ejpam-3455	53	23	fluid	fluid	NOUN
ejpam-3455	53	24	over	over	ADP
ejpam-3455	53	25	a	a	DET
ejpam-3455	53	26	continuously	continuously	ADV
ejpam-3455	53	27	stretching	stretch	VERB
ejpam-3455	53	28	sheet	sheet	NOUN
ejpam-3455	53	29	with	with	ADP
ejpam-3455	53	30	heat	heat	NOUN
ejpam-3455	53	31	transfer	transfer	NOUN
ejpam-3455	53	32	and	and	CCONJ
ejpam-3455	53	33	combined	combined	ADJ
ejpam-3455	53	34	effect	effect	NOUN
ejpam-3455	53	35	of	of	ADP
ejpam-3455	53	36	two	two	NUM
ejpam-3455	53	37	slips	slip	NOUN
ejpam-3455	53	38	which	which	PRON
ejpam-3455	53	39	greatly	greatly	ADV
ejpam-3455	53	40	influence	influence	VERB
ejpam-3455	53	41	the	the	DET
ejpam-3455	53	42	fluid	fluid	ADJ
ejpam-3455	53	43	flow	flow	NOUN
ejpam-3455	53	44	and	and	CCONJ
ejpam-3455	53	45	shear	shear	NOUN
ejpam-3455	53	46	stress	stress	NOUN
ejpam-3455	53	47	.	.	PUNCT
ejpam-3455	54	1	sharma	sharma	PROPN
ejpam-3455	54	2	[	[	X
ejpam-3455	54	3	22	22	NUM
ejpam-3455	54	4	]	]	PUNCT
ejpam-3455	54	5	developed	develop	VERB
ejpam-3455	54	6	the	the	DET
ejpam-3455	54	7	twice	twice	ADJ
ejpam-3455	54	8	order	order	NOUN
ejpam-3455	54	9	velocity	velocity	NOUN
ejpam-3455	54	10	slip	slip	NOUN
ejpam-3455	54	11	flow	flow	NOUN
ejpam-3455	54	12	model	model	NOUN
ejpam-3455	54	13	and	and	CCONJ
ejpam-3455	54	14	observed	observe	VERB
ejpam-3455	54	15	decreasing	decrease	VERB
ejpam-3455	54	16	behavior	behavior	NOUN
ejpam-3455	54	17	of	of	ADP
ejpam-3455	54	18	velocity	velocity	NOUN
ejpam-3455	54	19	and	and	CCONJ
ejpam-3455	54	20	skin	skin	NOUN
ejpam-3455	54	21	friction	friction	NOUN
ejpam-3455	54	22	for	for	ADP
ejpam-3455	54	23	increasing	increase	VERB
ejpam-3455	54	24	second	second	ADJ
ejpam-3455	54	25	slip	slip	NOUN
ejpam-3455	54	26	parameter	parameter	NOUN
ejpam-3455	54	27	.	.	PUNCT
ejpam-3455	55	1	liu	liu	PROPN
ejpam-3455	56	1	[	[	X
ejpam-3455	56	2	18	18	NUM
ejpam-3455	56	3	]	]	PUNCT
ejpam-3455	56	4	examined	examine	VERB
ejpam-3455	56	5	the	the	DET
ejpam-3455	56	6	effects	effect	NOUN
ejpam-3455	56	7	of	of	ADP
ejpam-3455	56	8	second	second	ADJ
ejpam-3455	56	9	order	order	NOUN
ejpam-3455	56	10	slip	slip	NOUN
ejpam-3455	56	11	on	on	ADP
ejpam-3455	56	12	the	the	DET
ejpam-3455	56	13	fractional	fractional	PROPN
ejpam-3455	56	14	maxwell	maxwell	PROPN
ejpam-3455	56	15	mhd	mhd	PROPN
ejpam-3455	56	16	fluid	fluid	NOUN
ejpam-3455	56	17	using	use	VERB
ejpam-3455	56	18	riemann	riemann	PROPN
ejpam-3455	56	19	-	-	PUNCT
ejpam-3455	56	20	liouville	liouville	VERB
ejpam-3455	56	21	fractional	fractional	ADJ
ejpam-3455	56	22	operator	operator	NOUN
ejpam-3455	56	23	and	and	CCONJ
ejpam-3455	56	24	commented	comment	VERB
ejpam-3455	56	25	that	that	SCONJ
ejpam-3455	56	26	velocity	velocity	NOUN
ejpam-3455	56	27	with	with	ADP
ejpam-3455	56	28	slip	slip	NOUN
ejpam-3455	56	29	condition	condition	NOUN
ejpam-3455	56	30	is	be	AUX
ejpam-3455	56	31	lower	low	ADJ
ejpam-3455	56	32	than	than	ADP
ejpam-3455	56	33	that	that	PRON
ejpam-3455	56	34	with	with	SCONJ
ejpam-3455	56	35	no	no	DET
ejpam-3455	56	36	slip	slip	NOUN
ejpam-3455	56	37	condition	condition	NOUN
ejpam-3455	56	38	and	and	CCONJ
ejpam-3455	56	39	velocity	velocity	NOUN
ejpam-3455	56	40	with	with	ADP
ejpam-3455	56	41	second	second	ADJ
ejpam-3455	56	42	slip	slip	NOUN
ejpam-3455	56	43	is	be	AUX
ejpam-3455	56	44	lower	low	ADJ
ejpam-3455	56	45	than	than	ADP
ejpam-3455	56	46	first	first	ADJ
ejpam-3455	56	47	slip	slip	NOUN
ejpam-3455	56	48	velocity	velocity	NOUN
ejpam-3455	56	49	.	.	PUNCT
ejpam-3455	57	1	ganesh	ganesh	NOUN
ejpam-3455	57	2	and	and	CCONJ
ejpam-3455	57	3	qasem	qasem	ADJ
ejpam-3455	57	4	[	[	X
ejpam-3455	57	5	21	21	NUM
ejpam-3455	57	6	]	]	PUNCT
ejpam-3455	57	7	considered	consider	VERB
ejpam-3455	57	8	velocity	velocity	NOUN
ejpam-3455	57	9	and	and	CCONJ
ejpam-3455	57	10	thermal	thermal	ADJ
ejpam-3455	57	11	slips	slip	NOUN
ejpam-3455	57	12	of	of	ADP
ejpam-3455	57	13	second	second	ADJ
ejpam-3455	57	14	order	order	NOUN
ejpam-3455	57	15	with	with	ADP
ejpam-3455	57	16	entropy	entropy	NOUN
ejpam-3455	57	17	generation	generation	NOUN
ejpam-3455	57	18	and	and	CCONJ
ejpam-3455	57	19	showed	show	VERB
ejpam-3455	57	20	that	that	SCONJ
ejpam-3455	57	21	higher	high	ADJ
ejpam-3455	57	22	efficiency	efficiency	NOUN
ejpam-3455	57	23	of	of	ADP
ejpam-3455	57	24	thermal	thermal	ADJ
ejpam-3455	57	25	fluidic	fluidic	ADJ
ejpam-3455	57	26	system	system	NOUN
ejpam-3455	57	27	can	can	AUX
ejpam-3455	57	28	be	be	AUX
ejpam-3455	57	29	obtained	obtain	VERB
ejpam-3455	57	30	by	by	ADP
ejpam-3455	57	31	increasing	increase	VERB
ejpam-3455	57	32	the	the	DET
ejpam-3455	57	33	slip	slip	NOUN
ejpam-3455	57	34	.	.	PUNCT
ejpam-3455	58	1	twice	twice	DET
ejpam-3455	58	2	order	order	NOUN
ejpam-3455	58	3	slip	slip	NOUN
ejpam-3455	58	4	in	in	ADP
ejpam-3455	58	5	fractional	fractional	ADJ
ejpam-3455	58	6	maxwell	maxwell	PROPN
ejpam-3455	58	7	fluid	fluid	NOUN
ejpam-3455	58	8	using	use	VERB
ejpam-3455	58	9	caputo	caputo	PROPN
ejpam-3455	58	10	operator	operator	NOUN
ejpam-3455	58	11	is	be	AUX
ejpam-3455	58	12	numerically	numerically	ADV
ejpam-3455	58	13	analyzed	analyze	VERB
ejpam-3455	58	14	by	by	ADP
ejpam-3455	58	15	aman	aman	NOUN
ejpam-3455	59	1	[	[	X
ejpam-3455	59	2	24	24	NUM
ejpam-3455	59	3	]	]	PUNCT
ejpam-3455	59	4	by	by	ADP
ejpam-3455	59	5	comparing	compare	VERB
ejpam-3455	59	6	the	the	DET
ejpam-3455	59	7	results	result	NOUN
ejpam-3455	59	8	through	through	ADP
ejpam-3455	59	9	tzou	tzou	PROPN
ejpam-3455	59	10	’s	’s	PART
ejpam-3455	59	11	and	and	CCONJ
ejpam-3455	59	12	stechfest	stechf	ADJ
ejpam-3455	59	13	’s	’s	PART
ejpam-3455	59	14	algorithms	algorithm	NOUN
ejpam-3455	59	15	,	,	PUNCT
ejpam-3455	59	16	and	and	CCONJ
ejpam-3455	59	17	resulted	result	VERB
ejpam-3455	59	18	that	that	SCONJ
ejpam-3455	59	19	slip	slip	NOUN
ejpam-3455	59	20	parameters	parameter	NOUN
ejpam-3455	59	21	reduced	reduce	VERB
ejpam-3455	59	22	the	the	DET
ejpam-3455	59	23	flow	flow	NOUN
ejpam-3455	59	24	velocity	velocity	NOUN
ejpam-3455	59	25	and	and	CCONJ
ejpam-3455	59	26	shear	shear	NOUN
ejpam-3455	59	27	stress	stress	NOUN
ejpam-3455	59	28	factors	factor	NOUN
ejpam-3455	59	29	.	.	PUNCT
ejpam-3455	60	1	m.	m.	PROPN
ejpam-3455	60	2	jamil	jamil	PROPN
ejpam-3455	60	3	,	,	PUNCT
ejpam-3455	60	4	i.	i.	PROPN
ejpam-3455	60	5	ahmed	ahmed	PROPN
ejpam-3455	60	6	/	/	PUNCT
ejpam-3455	60	7	eur	eur	PROPN
ejpam-3455	60	8	.	.	PUNCT
ejpam-3455	61	1	j.	j.	PROPN
ejpam-3455	61	2	pure	pure	PROPN
ejpam-3455	61	3	appl	appl	PROPN
ejpam-3455	61	4	.	.	PROPN
ejpam-3455	61	5	math	math	PROPN
ejpam-3455	61	6	,	,	PUNCT
ejpam-3455	61	7	12	12	NUM
ejpam-3455	61	8	(	(	PUNCT
ejpam-3455	61	9	3	3	NUM
ejpam-3455	61	10	)	)	PUNCT
ejpam-3455	61	11	(	(	PUNCT
ejpam-3455	61	12	2019	2019	NUM
ejpam-3455	61	13	)	)	PUNCT
ejpam-3455	61	14	,	,	PUNCT
ejpam-3455	61	15	1018	1018	NUM
ejpam-3455	61	16	-	-	SYM
ejpam-3455	61	17	1051	1051	NUM
ejpam-3455	61	18	1021	1021	NUM
ejpam-3455	61	19	the	the	DET
ejpam-3455	61	20	objective	objective	NOUN
ejpam-3455	61	21	of	of	ADP
ejpam-3455	61	22	this	this	DET
ejpam-3455	61	23	study	study	NOUN
ejpam-3455	61	24	is	be	AUX
ejpam-3455	61	25	twofold	twofold	ADV
ejpam-3455	61	26	,	,	PUNCT
ejpam-3455	61	27	firstly	firstly	ADV
ejpam-3455	61	28	to	to	PART
ejpam-3455	61	29	establish	establish	VERB
ejpam-3455	61	30	new	new	ADJ
ejpam-3455	61	31	exact	exact	ADJ
ejpam-3455	61	32	solutions	solution	NOUN
ejpam-3455	61	33	for	for	ADP
ejpam-3455	61	34	fractionalized	fractionalize	VERB
ejpam-3455	61	35	mhd	mhd	PROPN
ejpam-3455	61	36	maxwell	maxwell	PROPN
ejpam-3455	61	37	fluid	fluid	NOUN
ejpam-3455	61	38	in	in	ADP
ejpam-3455	61	39	a	a	DET
ejpam-3455	61	40	porous	porous	ADJ
ejpam-3455	61	41	medium	medium	NOUN
ejpam-3455	61	42	due	due	ADJ
ejpam-3455	61	43	to	to	ADP
ejpam-3455	61	44	oscillating	oscillate	VERB
ejpam-3455	61	45	plate	plate	NOUN
ejpam-3455	61	46	.	.	PUNCT
ejpam-3455	62	1	secondly	secondly	ADV
ejpam-3455	62	2	,	,	PUNCT
ejpam-3455	62	3	it	it	PRON
ejpam-3455	62	4	is	be	AUX
ejpam-3455	62	5	to	to	PART
ejpam-3455	62	6	investigate	investigate	VERB
ejpam-3455	62	7	the	the	DET
ejpam-3455	62	8	effects	effect	NOUN
ejpam-3455	62	9	of	of	ADP
ejpam-3455	62	10	twice	twice	ADJ
ejpam-3455	62	11	order	order	NOUN
ejpam-3455	62	12	slip	slip	VERB
ejpam-3455	62	13	due	due	ADJ
ejpam-3455	62	14	to	to	ADP
ejpam-3455	62	15	oscillating	oscillate	VERB
ejpam-3455	62	16	phenomena	phenomenon	NOUN
ejpam-3455	62	17	of	of	ADP
ejpam-3455	62	18	the	the	DET
ejpam-3455	62	19	bottom	bottom	ADJ
ejpam-3455	62	20	plate	plate	NOUN
ejpam-3455	62	21	.	.	PUNCT
ejpam-3455	63	1	more	more	ADV
ejpam-3455	63	2	specifically	specifically	ADV
ejpam-3455	63	3	,	,	PUNCT
ejpam-3455	63	4	our	our	PRON
ejpam-3455	63	5	goal	goal	NOUN
ejpam-3455	63	6	is	be	AUX
ejpam-3455	63	7	to	to	PART
ejpam-3455	63	8	calculate	calculate	VERB
ejpam-3455	63	9	the	the	DET
ejpam-3455	63	10	exact	exact	ADJ
ejpam-3455	63	11	analytical	analytical	ADJ
ejpam-3455	63	12	solutions	solution	NOUN
ejpam-3455	63	13	for	for	ADP
ejpam-3455	63	14	velocity	velocity	NOUN
ejpam-3455	63	15	field	field	NOUN
ejpam-3455	63	16	and	and	CCONJ
ejpam-3455	63	17	shear	shear	NOUN
ejpam-3455	63	18	stress	stress	NOUN
ejpam-3455	63	19	corresponding	correspond	VERB
ejpam-3455	63	20	to	to	ADP
ejpam-3455	63	21	the	the	DET
ejpam-3455	63	22	motion	motion	NOUN
ejpam-3455	63	23	of	of	ADP
ejpam-3455	63	24	fractionalized	fractionalize	VERB
ejpam-3455	63	25	maxwell	maxwell	PROPN
ejpam-3455	63	26	fluid	fluid	NOUN
ejpam-3455	63	27	due	due	ADJ
ejpam-3455	63	28	to	to	PART
ejpam-3455	63	29	sine	sine	VERB
ejpam-3455	63	30	and	and	CCONJ
ejpam-3455	63	31	cosine	cosine	NOUN
ejpam-3455	63	32	oscillations	oscillation	NOUN
ejpam-3455	63	33	of	of	ADP
ejpam-3455	63	34	the	the	DET
ejpam-3455	63	35	plate	plate	NOUN
ejpam-3455	63	36	.	.	PUNCT
ejpam-3455	64	1	initially	initially	ADV
ejpam-3455	64	2	the	the	DET
ejpam-3455	64	3	plate	plate	NOUN
ejpam-3455	64	4	is	be	AUX
ejpam-3455	64	5	at	at	ADP
ejpam-3455	64	6	rest	rest	NOUN
ejpam-3455	64	7	at	at	ADP
ejpam-3455	64	8	time	time	NOUN
ejpam-3455	64	9	t	t	NOUN
ejpam-3455	64	10	=	=	PUNCT
ejpam-3455	64	11	0	0	NUM
ejpam-3455	64	12	+	+	ADJ
ejpam-3455	64	13	,	,	PUNCT
ejpam-3455	64	14	the	the	DET
ejpam-3455	64	15	plate	plate	NOUN
ejpam-3455	64	16	start	start	VERB
ejpam-3455	64	17	to	to	PART
ejpam-3455	64	18	oscillate	oscillate	VERB
ejpam-3455	64	19	with	with	ADP
ejpam-3455	64	20	the	the	DET
ejpam-3455	64	21	velocity	velocity	NOUN
ejpam-3455	64	22	u	u	NOUN
ejpam-3455	64	23	sin(ωt	sin(ωt	NOUN
ejpam-3455	64	24	)	)	PUNCT
ejpam-3455	64	25	or	or	CCONJ
ejpam-3455	64	26	uh(t	uh(t	X
ejpam-3455	64	27	)	)	PUNCT
ejpam-3455	64	28	cos(ωt	cos(ωt	NOUN
ejpam-3455	64	29	)	)	PUNCT
ejpam-3455	64	30	in	in	ADP
ejpam-3455	64	31	its	its	PRON
ejpam-3455	64	32	own	own	ADJ
ejpam-3455	64	33	plane	plane	NOUN
ejpam-3455	64	34	,	,	PUNCT
ejpam-3455	64	35	where	where	SCONJ
ejpam-3455	64	36	u	u	NOUN
ejpam-3455	64	37	is	be	AUX
ejpam-3455	64	38	the	the	DET
ejpam-3455	64	39	oscillation	oscillation	NOUN
ejpam-3455	64	40	amplitude	amplitude	NOUN
ejpam-3455	64	41	,	,	PUNCT
ejpam-3455	64	42	h(t	h(t	PROPN
ejpam-3455	64	43	)	)	PUNCT
ejpam-3455	64	44	is	be	AUX
ejpam-3455	64	45	the	the	DET
ejpam-3455	64	46	heaviside	heaviside	ADJ
ejpam-3455	64	47	unit	unit	NOUN
ejpam-3455	64	48	step	step	NOUN
ejpam-3455	64	49	function	function	NOUN
ejpam-3455	64	50	and	and	CCONJ
ejpam-3455	64	51	ω	ω	NOUN
ejpam-3455	64	52	is	be	AUX
ejpam-3455	64	53	the	the	DET
ejpam-3455	64	54	oscillation	oscillation	NOUN
ejpam-3455	64	55	frequency	frequency	NOUN
ejpam-3455	64	56	.	.	PUNCT
ejpam-3455	65	1	the	the	DET
ejpam-3455	65	2	general	general	ADJ
ejpam-3455	65	3	solutions	solution	NOUN
ejpam-3455	65	4	are	be	AUX
ejpam-3455	65	5	obtained	obtain	VERB
ejpam-3455	65	6	using	use	VERB
ejpam-3455	65	7	discrete	discrete	ADJ
ejpam-3455	65	8	laplace	laplace	NOUN
ejpam-3455	65	9	transforms	transform	VERB
ejpam-3455	65	10	and	and	CCONJ
ejpam-3455	65	11	represented	represent	VERB
ejpam-3455	65	12	in	in	ADP
ejpam-3455	65	13	terms	term	NOUN
ejpam-3455	65	14	of	of	ADP
ejpam-3455	65	15	generalized	generalized	ADJ
ejpam-3455	65	16	m	m	NOUN
ejpam-3455	65	17	-	-	NOUN
ejpam-3455	65	18	function	function	NOUN
ejpam-3455	65	19	satisfying	satisfy	VERB
ejpam-3455	65	20	all	all	DET
ejpam-3455	65	21	imposed	impose	VERB
ejpam-3455	65	22	initial	initial	ADJ
ejpam-3455	65	23	and	and	CCONJ
ejpam-3455	65	24	boundary	boundary	ADJ
ejpam-3455	65	25	conditions	condition	NOUN
ejpam-3455	65	26	.	.	PUNCT
ejpam-3455	66	1	as	as	ADP
ejpam-3455	66	2	the	the	DET
ejpam-3455	66	3	special	special	ADJ
ejpam-3455	66	4	cases	case	NOUN
ejpam-3455	66	5	,	,	PUNCT
ejpam-3455	66	6	the	the	DET
ejpam-3455	66	7	general	general	ADJ
ejpam-3455	66	8	solutions	solution	NOUN
ejpam-3455	66	9	are	be	AUX
ejpam-3455	66	10	particularized	particularize	VERB
ejpam-3455	66	11	to	to	PART
ejpam-3455	66	12	give	give	VERB
ejpam-3455	66	13	similar	similar	ADJ
ejpam-3455	66	14	solutions	solution	NOUN
ejpam-3455	66	15	for	for	ADP
ejpam-3455	66	16	the	the	DET
ejpam-3455	66	17	fractionalized	fractionalize	VERB
ejpam-3455	66	18	maxwell	maxwell	NOUN
ejpam-3455	66	19	,	,	PUNCT
ejpam-3455	66	20	ordinary	ordinary	ADJ
ejpam-3455	66	21	maxwell	maxwell	PROPN
ejpam-3455	66	22	and	and	CCONJ
ejpam-3455	66	23	newtonian	newtonian	ADJ
ejpam-3455	66	24	fluid	fluid	NOUN
ejpam-3455	66	25	with	with	ADP
ejpam-3455	66	26	first	first	ADJ
ejpam-3455	66	27	order	order	NOUN
ejpam-3455	66	28	slip	slip	NOUN
ejpam-3455	66	29	or	or	CCONJ
ejpam-3455	66	30	no	no	DET
ejpam-3455	66	31	slip	slip	NOUN
ejpam-3455	66	32	and	and	CCONJ
ejpam-3455	66	33	existence	existence	NOUN
ejpam-3455	66	34	and	and	CCONJ
ejpam-3455	66	35	nonexistence	nonexistence	NOUN
ejpam-3455	66	36	of	of	ADP
ejpam-3455	66	37	magnetic	magnetic	ADJ
ejpam-3455	66	38	or	or	CCONJ
ejpam-3455	66	39	porous	porous	ADJ
ejpam-3455	66	40	effect	effect	NOUN
ejpam-3455	66	41	by	by	ADP
ejpam-3455	66	42	varying	vary	VERB
ejpam-3455	66	43	fractional	fractional	ADJ
ejpam-3455	66	44	parameter	parameter	NOUN
ejpam-3455	66	45	α	α	NOUN
ejpam-3455	66	46	−→	−→	ADJ
ejpam-3455	66	47	1	1	NUM
ejpam-3455	66	48	and	and	CCONJ
ejpam-3455	66	49	zero	zero	NUM
ejpam-3455	66	50	relaxation	relaxation	NOUN
ejpam-3455	66	51	time	time	NOUN
ejpam-3455	66	52	.	.	PUNCT
ejpam-3455	67	1	finally	finally	ADV
ejpam-3455	67	2	,	,	PUNCT
ejpam-3455	67	3	the	the	DET
ejpam-3455	67	4	results	result	NOUN
ejpam-3455	67	5	are	be	AUX
ejpam-3455	67	6	discussed	discuss	VERB
ejpam-3455	67	7	and	and	CCONJ
ejpam-3455	67	8	graphically	graphically	ADV
ejpam-3455	67	9	analyzed	analyze	VERB
ejpam-3455	67	10	for	for	ADP
ejpam-3455	67	11	different	different	ADJ
ejpam-3455	67	12	values	value	NOUN
ejpam-3455	67	13	of	of	ADP
ejpam-3455	67	14	the	the	DET
ejpam-3455	67	15	parameters	parameter	NOUN
ejpam-3455	67	16	of	of	ADP
ejpam-3455	67	17	interest	interest	NOUN
ejpam-3455	67	18	.	.	PUNCT
ejpam-3455	68	1	2	2	X
ejpam-3455	68	2	.	.	X
ejpam-3455	68	3	formation	formation	NOUN
ejpam-3455	68	4	of	of	ADP
ejpam-3455	68	5	the	the	DET
ejpam-3455	68	6	problem	problem	NOUN
ejpam-3455	68	7	consider	consider	VERB
ejpam-3455	68	8	an	an	DET
ejpam-3455	68	9	incompressible	incompressible	ADJ
ejpam-3455	68	10	fractionalized	fractionalize	VERB
ejpam-3455	68	11	mhd	mhd	PROPN
ejpam-3455	68	12	maxwell	maxwell	PROPN
ejpam-3455	68	13	fluid	fluid	NOUN
ejpam-3455	68	14	possessing	possessing	NOUN
ejpam-3455	68	15	over	over	ADP
ejpam-3455	68	16	an	an	DET
ejpam-3455	68	17	boundlessly	boundlessly	ADV
ejpam-3455	68	18	expanded	expand	VERB
ejpam-3455	68	19	plate	plate	NOUN
ejpam-3455	68	20	that	that	PRON
ejpam-3455	68	21	is	be	AUX
ejpam-3455	68	22	arranged	arrange	VERB
ejpam-3455	68	23	perpendicularly	perpendicularly	ADV
ejpam-3455	68	24	to	to	ADP
ejpam-3455	68	25	the	the	DET
ejpam-3455	68	26	y	y	NOUN
ejpam-3455	68	27	-	-	PUNCT
ejpam-3455	68	28	axis	axis	NOUN
ejpam-3455	68	29	in	in	ADP
ejpam-3455	68	30	the	the	DET
ejpam-3455	68	31	(	(	PUNCT
ejpam-3455	68	32	x	x	NOUN
ejpam-3455	68	33	,	,	PUNCT
ejpam-3455	68	34	z	z	NOUN
ejpam-3455	68	35	)	)	PUNCT
ejpam-3455	68	36	plane	plane	NOUN
ejpam-3455	68	37	.	.	PUNCT
ejpam-3455	69	1	at	at	ADP
ejpam-3455	69	2	first	first	ADV
ejpam-3455	69	3	,	,	PUNCT
ejpam-3455	69	4	the	the	DET
ejpam-3455	69	5	fluid	fluid	NOUN
ejpam-3455	69	6	is	be	AUX
ejpam-3455	69	7	at	at	ADP
ejpam-3455	69	8	rest	rest	NOUN
ejpam-3455	69	9	and	and	CCONJ
ejpam-3455	69	10	at	at	ADP
ejpam-3455	69	11	the	the	DET
ejpam-3455	69	12	instant	instant	ADJ
ejpam-3455	69	13	t	t	NOUN
ejpam-3455	69	14	=	=	SYM
ejpam-3455	70	1	0	0	SYM
ejpam-3455	70	2	+	+	PROPN
ejpam-3455	70	3	,	,	PUNCT
ejpam-3455	70	4	an	an	DET
ejpam-3455	70	5	oscillating	oscillating	NOUN
ejpam-3455	70	6	velocity	velocity	NOUN
ejpam-3455	70	7	u	u	NOUN
ejpam-3455	70	8	sin(ωt	sin(ωt	NOUN
ejpam-3455	70	9	)	)	PUNCT
ejpam-3455	70	10	or	or	CCONJ
ejpam-3455	70	11	uh(t	uh(t	X
ejpam-3455	70	12	)	)	PUNCT
ejpam-3455	70	13	cos(ωt	cos(ωt	NOUN
ejpam-3455	70	14	)	)	PUNCT
ejpam-3455	70	15	is	be	AUX
ejpam-3455	70	16	impulsively	impulsively	ADV
ejpam-3455	70	17	applied	apply	VERB
ejpam-3455	70	18	in	in	ADP
ejpam-3455	70	19	its	its	PRON
ejpam-3455	70	20	possessed	possessed	ADJ
ejpam-3455	70	21	plane	plane	NOUN
ejpam-3455	70	22	.	.	PUNCT
ejpam-3455	71	1	because	because	SCONJ
ejpam-3455	71	2	of	of	ADP
ejpam-3455	71	3	the	the	DET
ejpam-3455	71	4	shear	shear	NOUN
ejpam-3455	71	5	,	,	PUNCT
ejpam-3455	71	6	the	the	DET
ejpam-3455	71	7	fluid	fluid	NOUN
ejpam-3455	71	8	over	over	ADP
ejpam-3455	71	9	the	the	DET
ejpam-3455	71	10	plate	plate	NOUN
ejpam-3455	71	11	starts	start	VERB
ejpam-3455	71	12	to	to	PART
ejpam-3455	71	13	move	move	VERB
ejpam-3455	71	14	.	.	PUNCT
ejpam-3455	72	1	its	its	PRON
ejpam-3455	72	2	velocity	velocity	NOUN
ejpam-3455	72	3	and	and	CCONJ
ejpam-3455	72	4	shear	shear	NOUN
ejpam-3455	72	5	stress	stress	NOUN
ejpam-3455	72	6	is	be	AUX
ejpam-3455	72	7	of	of	ADP
ejpam-3455	72	8	the	the	DET
ejpam-3455	72	9	form	form	NOUN
ejpam-3455	72	10	v	v	NOUN
ejpam-3455	72	11	=	=	SYM
ejpam-3455	72	12	u(y	u(y	PROPN
ejpam-3455	72	13	,	,	PUNCT
ejpam-3455	72	14	t)̂i	t)̂i	PROPN
ejpam-3455	72	15	,	,	PUNCT
ejpam-3455	72	16	s	s	PART
ejpam-3455	72	17	=	=	SYM
ejpam-3455	72	18	s(y	s(y	PROPN
ejpam-3455	72	19	,	,	PUNCT
ejpam-3455	72	20	t	t	PROPN
ejpam-3455	72	21	)	)	PUNCT
ejpam-3455	72	22	,	,	PUNCT
ejpam-3455	72	23	(	(	PUNCT
ejpam-3455	72	24	1	1	X
ejpam-3455	72	25	)	)	PUNCT
ejpam-3455	72	26	where	where	SCONJ
ejpam-3455	72	27	î	î	PRON
ejpam-3455	72	28	is	be	AUX
ejpam-3455	72	29	the	the	DET
ejpam-3455	72	30	unit	unit	NOUN
ejpam-3455	72	31	vector	vector	NOUN
ejpam-3455	72	32	in	in	ADP
ejpam-3455	72	33	the	the	DET
ejpam-3455	72	34	direction	direction	NOUN
ejpam-3455	72	35	of	of	ADP
ejpam-3455	72	36	x.	x.	NOUN
ejpam-3455	72	37	the	the	DET
ejpam-3455	72	38	meaningful	meaningful	ADJ
ejpam-3455	72	39	equation	equation	NOUN
ejpam-3455	72	40	of	of	ADP
ejpam-3455	72	41	maxwell	maxwell	PROPN
ejpam-3455	72	42	fluid	fluid	NOUN
ejpam-3455	72	43	in	in	ADP
ejpam-3455	72	44	the	the	DET
ejpam-3455	72	45	absence	absence	NOUN
ejpam-3455	72	46	of	of	ADP
ejpam-3455	72	47	body	body	NOUN
ejpam-3455	72	48	forces	force	NOUN
ejpam-3455	72	49	and	and	CCONJ
ejpam-3455	72	50	pressure	pressure	NOUN
ejpam-3455	72	51	gradient	gradient	NOUN
ejpam-3455	72	52	and	and	CCONJ
ejpam-3455	72	53	with	with	ADP
ejpam-3455	72	54	magnetic	magnetic	ADJ
ejpam-3455	72	55	effect	effect	NOUN
ejpam-3455	72	56	in	in	ADP
ejpam-3455	72	57	porous	porous	ADJ
ejpam-3455	72	58	medium	medium	NOUN
ejpam-3455	72	59	are	be	AUX
ejpam-3455	72	60	given	give	VERB
ejpam-3455	72	61	by	by	ADP
ejpam-3455	72	62	(	(	PUNCT
ejpam-3455	72	63	1	1	NUM
ejpam-3455	72	64	+	+	NUM
ejpam-3455	72	65	λ	λ	NOUN
ejpam-3455	72	66	∂	∂	NOUN
ejpam-3455	72	67	∂t	∂t	PROPN
ejpam-3455	72	68	)	)	PUNCT
ejpam-3455	72	69	∂u(y	∂u(y	PROPN
ejpam-3455	72	70	,	,	PUNCT
ejpam-3455	72	71	t	t	PROPN
ejpam-3455	72	72	)	)	PUNCT
ejpam-3455	73	1	∂t	∂t	PROPN
ejpam-3455	73	2	=	=	PUNCT
ejpam-3455	73	3	ν	ν	X
ejpam-3455	73	4	∂2u(y	∂2u(y	PROPN
ejpam-3455	73	5	,	,	PUNCT
ejpam-3455	73	6	t	t	PROPN
ejpam-3455	73	7	)	)	PUNCT
ejpam-3455	73	8	∂y2	∂y2	ADJ
ejpam-3455	73	9	−	−	PROPN
ejpam-3455	73	10	σb2	σb2	NOUN
ejpam-3455	73	11	0	0	SYM
ejpam-3455	73	12	ρ	ρ	PROPN
ejpam-3455	73	13	(	(	PUNCT
ejpam-3455	73	14	1	1	NUM
ejpam-3455	73	15	+	+	NUM
ejpam-3455	73	16	λ	λ	NOUN
ejpam-3455	73	17	∂	∂	X
ejpam-3455	73	18	∂t	∂t	PROPN
ejpam-3455	73	19	)	)	PUNCT
ejpam-3455	74	1	u(y	u(y	PROPN
ejpam-3455	74	2	,	,	PUNCT
ejpam-3455	74	3	t)−	t)−	PROPN
ejpam-3455	74	4	νφ	νφ	VERB
ejpam-3455	74	5	κ	κ	ADP
ejpam-3455	74	6	u(y	u(y	PROPN
ejpam-3455	74	7	,	,	PUNCT
ejpam-3455	74	8	t	t	PROPN
ejpam-3455	74	9	)	)	PUNCT
ejpam-3455	74	10	;	;	PUNCT
ejpam-3455	75	1	y	y	PROPN
ejpam-3455	75	2	,	,	PUNCT
ejpam-3455	75	3	t	t	X
ejpam-3455	75	4	>	>	X
ejpam-3455	75	5	0	0	NUM
ejpam-3455	75	6	,	,	PUNCT
ejpam-3455	75	7	(	(	PUNCT
ejpam-3455	75	8	2	2	NUM
ejpam-3455	75	9	)	)	PUNCT
ejpam-3455	75	10	(	(	PUNCT
ejpam-3455	75	11	1	1	NUM
ejpam-3455	75	12	+	+	NUM
ejpam-3455	75	13	λ	λ	NOUN
ejpam-3455	75	14	∂	∂	NOUN
ejpam-3455	75	15	∂t	∂t	PROPN
ejpam-3455	75	16	)	)	PUNCT
ejpam-3455	75	17	τ(y	τ(y	PROPN
ejpam-3455	75	18	,	,	PUNCT
ejpam-3455	75	19	t	t	PROPN
ejpam-3455	75	20	)	)	PUNCT
ejpam-3455	75	21	=	=	SYM
ejpam-3455	75	22	µ	µ	PRON
ejpam-3455	75	23	∂u(y	∂u(y	NOUN
ejpam-3455	75	24	,	,	PUNCT
ejpam-3455	75	25	t	t	PROPN
ejpam-3455	75	26	)	)	PUNCT
ejpam-3455	75	27	∂y	∂y	PROPN
ejpam-3455	75	28	,	,	PUNCT
ejpam-3455	75	29	(	(	PUNCT
ejpam-3455	75	30	3	3	X
ejpam-3455	75	31	)	)	PUNCT
ejpam-3455	76	1	where	where	SCONJ
ejpam-3455	76	2	τ(y	τ(y	PROPN
ejpam-3455	76	3	,	,	PUNCT
ejpam-3455	76	4	t	t	PROPN
ejpam-3455	76	5	)	)	PUNCT
ejpam-3455	76	6	=	=	SYM
ejpam-3455	76	7	sxy(y	sxy(y	PROPN
ejpam-3455	76	8	,	,	PUNCT
ejpam-3455	76	9	t	t	PROPN
ejpam-3455	76	10	)	)	PUNCT
ejpam-3455	76	11	are	be	AUX
ejpam-3455	76	12	the	the	DET
ejpam-3455	76	13	non	non	ADJ
ejpam-3455	76	14	-	-	ADJ
ejpam-3455	76	15	zero	zero	NUM
ejpam-3455	76	16	shear	shear	NOUN
ejpam-3455	76	17	stresses	stress	NOUN
ejpam-3455	76	18	,	,	PUNCT
ejpam-3455	76	19	ν	ν	X
ejpam-3455	76	20	=	=	PUNCT
ejpam-3455	76	21	µ/ρ	µ/ρ	NOUN
ejpam-3455	76	22	is	be	AUX
ejpam-3455	76	23	the	the	DET
ejpam-3455	76	24	kinematic	kinematic	ADJ
ejpam-3455	76	25	viscosity	viscosity	NOUN
ejpam-3455	76	26	of	of	ADP
ejpam-3455	76	27	the	the	DET
ejpam-3455	76	28	fluid	fluid	NOUN
ejpam-3455	76	29	µ	µ	NOUN
ejpam-3455	76	30	is	be	AUX
ejpam-3455	76	31	the	the	DET
ejpam-3455	76	32	dynamic	dynamic	ADJ
ejpam-3455	76	33	viscosity	viscosity	NOUN
ejpam-3455	76	34	,	,	PUNCT
ejpam-3455	76	35	ρ	ρ	PROPN
ejpam-3455	76	36	is	be	AUX
ejpam-3455	76	37	the	the	DET
ejpam-3455	76	38	density	density	NOUN
ejpam-3455	76	39	of	of	ADP
ejpam-3455	76	40	the	the	DET
ejpam-3455	76	41	fluid	fluid	NOUN
ejpam-3455	76	42	,	,	PUNCT
ejpam-3455	76	43	φ	φ	PROPN
ejpam-3455	76	44	is	be	AUX
ejpam-3455	76	45	the	the	DET
ejpam-3455	76	46	porosity	porosity	NOUN
ejpam-3455	76	47	and	and	CCONJ
ejpam-3455	76	48	κ	κ	PROPN
ejpam-3455	76	49	m.	m.	PROPN
ejpam-3455	76	50	jamil	jamil	PROPN
ejpam-3455	76	51	,	,	PUNCT
ejpam-3455	76	52	i.	i.	PROPN
ejpam-3455	76	53	ahmed	ahmed	PROPN
ejpam-3455	76	54	/	/	PUNCT
ejpam-3455	76	55	eur	eur	PROPN
ejpam-3455	76	56	.	.	PUNCT
ejpam-3455	77	1	j.	j.	PROPN
ejpam-3455	77	2	pure	pure	PROPN
ejpam-3455	77	3	appl	appl	PROPN
ejpam-3455	77	4	.	.	PROPN
ejpam-3455	77	5	math	math	PROPN
ejpam-3455	77	6	,	,	PUNCT
ejpam-3455	77	7	12	12	NUM
ejpam-3455	77	8	(	(	PUNCT
ejpam-3455	77	9	3	3	NUM
ejpam-3455	77	10	)	)	PUNCT
ejpam-3455	77	11	(	(	PUNCT
ejpam-3455	77	12	2019	2019	NUM
ejpam-3455	77	13	)	)	PUNCT
ejpam-3455	77	14	,	,	PUNCT
ejpam-3455	77	15	1018	1018	NUM
ejpam-3455	77	16	-	-	SYM
ejpam-3455	77	17	1051	1051	NUM
ejpam-3455	77	18	1022	1022	NUM
ejpam-3455	77	19	b0	b0	NOUN
ejpam-3455	77	20	z	z	NOUN
ejpam-3455	77	21	oscillating	oscillate	VERB
ejpam-3455	77	22	porous	porous	ADJ
ejpam-3455	77	23	plate	plate	NOUN
ejpam-3455	77	24	maxwell	maxwell	PROPN
ejpam-3455	77	25	fluid	fluid	PROPN
ejpam-3455	77	26	y	y	PROPN
ejpam-3455	77	27	x	x	NOUN
ejpam-3455	77	28	figure	figure	NOUN
ejpam-3455	77	29	1	1	NUM
ejpam-3455	77	30	:	:	PUNCT
ejpam-3455	77	31	geometry	geometry	NOUN
ejpam-3455	77	32	of	of	ADP
ejpam-3455	77	33	the	the	DET
ejpam-3455	77	34	problem	problem	NOUN
ejpam-3455	77	35	is	be	AUX
ejpam-3455	77	36	the	the	DET
ejpam-3455	77	37	permeability	permeability	NOUN
ejpam-3455	77	38	of	of	ADP
ejpam-3455	77	39	the	the	DET
ejpam-3455	77	40	porous	porous	ADJ
ejpam-3455	77	41	medium	medium	NOUN
ejpam-3455	77	42	,	,	PUNCT
ejpam-3455	77	43	b0	b0	NOUN
ejpam-3455	77	44	is	be	AUX
ejpam-3455	77	45	the	the	DET
ejpam-3455	77	46	magnitude	magnitude	NOUN
ejpam-3455	77	47	of	of	ADP
ejpam-3455	77	48	applied	apply	VERB
ejpam-3455	77	49	magnetic	magnetic	ADJ
ejpam-3455	77	50	field	field	NOUN
ejpam-3455	77	51	and	and	CCONJ
ejpam-3455	77	52	σ	σ	PROPN
ejpam-3455	77	53	is	be	AUX
ejpam-3455	77	54	the	the	DET
ejpam-3455	77	55	electrically	electrically	ADV
ejpam-3455	77	56	conductively	conductively	ADV
ejpam-3455	77	57	of	of	ADP
ejpam-3455	77	58	fluid	fluid	NOUN
ejpam-3455	77	59	.	.	PUNCT
ejpam-3455	78	1	the	the	DET
ejpam-3455	78	2	governing	govern	VERB
ejpam-3455	78	3	equations	equation	NOUN
ejpam-3455	78	4	corresponding	correspond	VERB
ejpam-3455	78	5	to	to	ADP
ejpam-3455	78	6	an	an	DET
ejpam-3455	78	7	incompressible	incompressible	ADJ
ejpam-3455	78	8	fractionalized	fractionalize	VERB
ejpam-3455	78	9	mhd	mhd	PROPN
ejpam-3455	78	10	maxwell	maxwell	PROPN
ejpam-3455	78	11	fluid	fluid	NOUN
ejpam-3455	78	12	in	in	ADP
ejpam-3455	78	13	porous	porous	ADJ
ejpam-3455	78	14	medium	medium	NOUN
ejpam-3455	78	15	,	,	PUNCT
ejpam-3455	78	16	performing	perform	VERB
ejpam-3455	78	17	the	the	DET
ejpam-3455	78	18	same	same	ADJ
ejpam-3455	78	19	motion	motion	NOUN
ejpam-3455	78	20	are	be	AUX
ejpam-3455	78	21	(	(	PUNCT
ejpam-3455	78	22	1	1	NUM
ejpam-3455	78	23	+	+	CCONJ
ejpam-3455	78	24	λαdα	λαdα	PROPN
ejpam-3455	78	25	t	t	PROPN
ejpam-3455	78	26	)	)	PUNCT
ejpam-3455	78	27	∂u(y	∂u(y	PROPN
ejpam-3455	78	28	,	,	PUNCT
ejpam-3455	78	29	t	t	PROPN
ejpam-3455	78	30	)	)	PUNCT
ejpam-3455	79	1	∂t	∂t	PROPN
ejpam-3455	79	2	=	=	PUNCT
ejpam-3455	79	3	ν	ν	X
ejpam-3455	79	4	∂2u(y	∂2u(y	PROPN
ejpam-3455	79	5	,	,	PUNCT
ejpam-3455	79	6	t	t	PROPN
ejpam-3455	79	7	)	)	PUNCT
ejpam-3455	79	8	∂y2	∂y2	PROPN
ejpam-3455	79	9	−m	−m	NOUN
ejpam-3455	79	10	(	(	PUNCT
ejpam-3455	79	11	1	1	NUM
ejpam-3455	79	12	+	+	CCONJ
ejpam-3455	79	13	λαdα	λαdα	PROPN
ejpam-3455	79	14	t	t	NOUN
ejpam-3455	79	15	)	)	PUNCT
ejpam-3455	80	1	u(y	u(y	PROPN
ejpam-3455	80	2	,	,	PUNCT
ejpam-3455	80	3	t)−ψu(y	t)−ψu(y	PROPN
ejpam-3455	80	4	,	,	PUNCT
ejpam-3455	80	5	t	t	PROPN
ejpam-3455	80	6	)	)	PUNCT
ejpam-3455	80	7	,	,	PUNCT
ejpam-3455	80	8	(	(	PUNCT
ejpam-3455	80	9	4	4	X
ejpam-3455	80	10	)	)	PUNCT
ejpam-3455	80	11	(	(	PUNCT
ejpam-3455	80	12	1	1	NUM
ejpam-3455	80	13	+	+	CCONJ
ejpam-3455	80	14	λαdα	λαdα	PROPN
ejpam-3455	80	15	t	t	NOUN
ejpam-3455	80	16	)	)	PUNCT
ejpam-3455	80	17	τ(y	τ(y	PROPN
ejpam-3455	80	18	,	,	PUNCT
ejpam-3455	80	19	t	t	PROPN
ejpam-3455	80	20	)	)	PUNCT
ejpam-3455	80	21	=	=	SYM
ejpam-3455	80	22	µ	µ	PRON
ejpam-3455	80	23	∂u(y	∂u(y	NOUN
ejpam-3455	80	24	,	,	PUNCT
ejpam-3455	80	25	t	t	PROPN
ejpam-3455	80	26	)	)	PUNCT
ejpam-3455	80	27	∂y	∂y	PROPN
ejpam-3455	80	28	,	,	PUNCT
ejpam-3455	80	29	(	(	PUNCT
ejpam-3455	80	30	5	5	NUM
ejpam-3455	80	31	)	)	PUNCT
ejpam-3455	80	32	where	where	SCONJ
ejpam-3455	80	33	m	m	NOUN
ejpam-3455	80	34	=	=	SYM
ejpam-3455	80	35	σb2	σb2	NOUN
ejpam-3455	80	36	0	0	SYM
ejpam-3455	80	37	/	/	SYM
ejpam-3455	80	38	ρ	ρ	PROPN
ejpam-3455	80	39	,	,	PUNCT
ejpam-3455	80	40	ψ	ψ	X
ejpam-3455	80	41	=	=	NOUN
ejpam-3455	80	42	νφ	νφ	PROPN
ejpam-3455	80	43	κ	κ	PROPN
ejpam-3455	80	44	,	,	PUNCT
ejpam-3455	80	45	α	α	PROPN
ejpam-3455	80	46	is	be	AUX
ejpam-3455	80	47	fractional	fractional	ADJ
ejpam-3455	80	48	parameter	parameter	NOUN
ejpam-3455	80	49	and	and	CCONJ
ejpam-3455	80	50	the	the	DET
ejpam-3455	80	51	fractional	fractional	ADJ
ejpam-3455	80	52	operator	operator	NOUN
ejpam-3455	80	53	dα	dα	PROPN
ejpam-3455	80	54	t	t	PROPN
ejpam-3455	80	55	named	name	VERB
ejpam-3455	80	56	caputo	caputo	PROPN
ejpam-3455	80	57	is	be	AUX
ejpam-3455	80	58	defined	define	VERB
ejpam-3455	80	59	by	by	ADP
ejpam-3455	80	60	[	[	PUNCT
ejpam-3455	80	61	13	13	NUM
ejpam-3455	80	62	]	]	PUNCT
ejpam-3455	80	63	dα	dα	PROPN
ejpam-3455	80	64	t	t	PROPN
ejpam-3455	80	65	f(t	f(t	PROPN
ejpam-3455	80	66	)	)	PUNCT
ejpam-3455	81	1	=	=	SYM
ejpam-3455	81	2			PROPN
ejpam-3455	81	3	1	1	NUM
ejpam-3455	81	4	γ(1−α	γ(1−α	NOUN
ejpam-3455	81	5	)	)	PUNCT
ejpam-3455	82	1	∫	∫	PROPN
ejpam-3455	83	1	t	t	PROPN
ejpam-3455	83	2	0	0	NUM
ejpam-3455	83	3	f	f	PROPN
ejpam-3455	83	4	′(τ	′(τ	NOUN
ejpam-3455	83	5	)	)	PUNCT
ejpam-3455	83	6	(	(	PUNCT
ejpam-3455	83	7	t−τ)α	t−τ)α	PROPN
ejpam-3455	83	8	dτ	dτ	PROPN
ejpam-3455	83	9	,	,	PUNCT
ejpam-3455	83	10	0	0	NUM
ejpam-3455	83	11	<	<	X
ejpam-3455	83	12	α	α	X
ejpam-3455	83	13	<	<	X
ejpam-3455	83	14	1	1	NUM
ejpam-3455	83	15	;	;	PUNCT
ejpam-3455	83	16	df(t	df(t	NOUN
ejpam-3455	83	17	)	)	PUNCT
ejpam-3455	83	18	dt	dt	X
ejpam-3455	84	1	α	α	NOUN
ejpam-3455	84	2	=	=	SYM
ejpam-3455	84	3	1	1	NUM
ejpam-3455	84	4	,	,	PUNCT
ejpam-3455	84	5	(	(	PUNCT
ejpam-3455	84	6	6	6	NUM
ejpam-3455	84	7	)	)	PUNCT
ejpam-3455	84	8	and	and	CCONJ
ejpam-3455	84	9	γ	γ	X
ejpam-3455	84	10	(	(	PUNCT
ejpam-3455	84	11	·	·	PUNCT
ejpam-3455	84	12	)	)	PUNCT
ejpam-3455	84	13	is	be	AUX
ejpam-3455	84	14	the	the	DET
ejpam-3455	84	15	gamma	gamma	PROPN
ejpam-3455	84	16	function	function	NOUN
ejpam-3455	84	17	.	.	PUNCT
ejpam-3455	85	1	the	the	DET
ejpam-3455	85	2	fitting	fitting	ADJ
ejpam-3455	85	3	initial	initial	ADJ
ejpam-3455	85	4	and	and	CCONJ
ejpam-3455	85	5	boundary	boundary	ADJ
ejpam-3455	85	6	limitations	limitation	NOUN
ejpam-3455	85	7	are	be	AUX
ejpam-3455	85	8	u(y	u(y	NOUN
ejpam-3455	85	9	,	,	PUNCT
ejpam-3455	85	10	0	0	NUM
ejpam-3455	85	11	)	)	PUNCT
ejpam-3455	85	12	=	=	SYM
ejpam-3455	85	13	∂u(y	∂u(y	PROPN
ejpam-3455	85	14	,	,	PUNCT
ejpam-3455	85	15	0	0	NUM
ejpam-3455	85	16	)	)	PUNCT
ejpam-3455	85	17	∂t	∂t	PROPN
ejpam-3455	85	18	=	=	SYM
ejpam-3455	85	19	0	0	NUM
ejpam-3455	85	20	;	;	PUNCT
ejpam-3455	85	21	τ(y	τ(y	PROPN
ejpam-3455	85	22	,	,	PUNCT
ejpam-3455	85	23	0	0	NUM
ejpam-3455	85	24	)	)	PUNCT
ejpam-3455	85	25	=	=	SYM
ejpam-3455	85	26	0	0	NUM
ejpam-3455	85	27	,	,	PUNCT
ejpam-3455	85	28	y	y	PROPN
ejpam-3455	85	29	>	>	X
ejpam-3455	85	30	0	0	NUM
ejpam-3455	85	31	,	,	PUNCT
ejpam-3455	85	32	(	(	PUNCT
ejpam-3455	85	33	7	7	X
ejpam-3455	85	34	)	)	PUNCT
ejpam-3455	85	35	m.	m.	NOUN
ejpam-3455	85	36	jamil	jamil	PROPN
ejpam-3455	85	37	,	,	PUNCT
ejpam-3455	85	38	i.	i.	PROPN
ejpam-3455	85	39	ahmed	ahmed	PROPN
ejpam-3455	85	40	/	/	PUNCT
ejpam-3455	85	41	eur	eur	PROPN
ejpam-3455	85	42	.	.	PUNCT
ejpam-3455	86	1	j.	j.	PROPN
ejpam-3455	86	2	pure	pure	PROPN
ejpam-3455	86	3	appl	appl	PROPN
ejpam-3455	86	4	.	.	PROPN
ejpam-3455	86	5	math	math	PROPN
ejpam-3455	86	6	,	,	PUNCT
ejpam-3455	86	7	12	12	NUM
ejpam-3455	86	8	(	(	PUNCT
ejpam-3455	86	9	3	3	NUM
ejpam-3455	86	10	)	)	PUNCT
ejpam-3455	86	11	(	(	PUNCT
ejpam-3455	86	12	2019	2019	NUM
ejpam-3455	86	13	)	)	PUNCT
ejpam-3455	86	14	,	,	PUNCT
ejpam-3455	86	15	1018	1018	NUM
ejpam-3455	86	16	-	-	SYM
ejpam-3455	86	17	1051	1051	NUM
ejpam-3455	86	18	1023	1023	NUM
ejpam-3455	86	19	u(0	u(0	PROPN
ejpam-3455	86	20	,	,	PUNCT
ejpam-3455	86	21	t	t	PROPN
ejpam-3455	86	22	)	)	PUNCT
ejpam-3455	86	23	=	=	SYM
ejpam-3455	86	24	u	u	NOUN
ejpam-3455	86	25	sin(ωt	sin(ωt	NOUN
ejpam-3455	86	26	)	)	PUNCT
ejpam-3455	86	27	+	+	NUM
ejpam-3455	86	28	θ1	θ1	NOUN
ejpam-3455	86	29	∂u(y	∂u(y	PROPN
ejpam-3455	86	30	,	,	PUNCT
ejpam-3455	86	31	0	0	NUM
ejpam-3455	86	32	)	)	PUNCT
ejpam-3455	86	33	∂t	∂t	PROPN
ejpam-3455	86	34	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	86	35	y=0	y=0	NOUN
ejpam-3455	86	36	−	−	X
ejpam-3455	86	37	θ2	θ2	PROPN
ejpam-3455	86	38	∂2u(y	∂2u(y	NOUN
ejpam-3455	86	39	,	,	PUNCT
ejpam-3455	86	40	0	0	NUM
ejpam-3455	86	41	)	)	PUNCT
ejpam-3455	86	42	∂y2	∂y2	NOUN
ejpam-3455	86	43	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	86	44	y=0	y=0	NOUN
ejpam-3455	86	45	;	;	PUNCT
ejpam-3455	86	46	t	t	PROPN
ejpam-3455	86	47	≥	≥	NUM
ejpam-3455	86	48	0	0	NUM
ejpam-3455	86	49	,	,	PUNCT
ejpam-3455	86	50	(	(	PUNCT
ejpam-3455	86	51	8)	8)	NUM
ejpam-3455	86	52	u(0	u(0	PROPN
ejpam-3455	86	53	,	,	PUNCT
ejpam-3455	86	54	t	t	PROPN
ejpam-3455	86	55	)	)	PUNCT
ejpam-3455	86	56	=	=	SYM
ejpam-3455	86	57	uh(t	uh(t	X
ejpam-3455	86	58	)	)	PUNCT
ejpam-3455	86	59	cos(ωt	cos(ωt	PRON
ejpam-3455	86	60	)	)	PUNCT
ejpam-3455	87	1	+	+	NUM
ejpam-3455	87	2	θ1	θ1	NOUN
ejpam-3455	87	3	∂u(y	∂u(y	PROPN
ejpam-3455	87	4	,	,	PUNCT
ejpam-3455	87	5	0	0	NUM
ejpam-3455	87	6	)	)	PUNCT
ejpam-3455	87	7	∂t	∂t	PROPN
ejpam-3455	87	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	87	9	y=0	y=0	NOUN
ejpam-3455	87	10	−	−	X
ejpam-3455	87	11	θ2	θ2	PROPN
ejpam-3455	87	12	∂2u(y	∂2u(y	NOUN
ejpam-3455	87	13	,	,	PUNCT
ejpam-3455	87	14	0	0	NUM
ejpam-3455	87	15	)	)	PUNCT
ejpam-3455	87	16	∂y2	∂y2	NOUN
ejpam-3455	87	17	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	87	18	y=0	y=0	NOUN
ejpam-3455	87	19	;	;	PUNCT
ejpam-3455	87	20	t	t	PROPN
ejpam-3455	87	21	≥	≥	NUM
ejpam-3455	87	22	0	0	NUM
ejpam-3455	87	23	,	,	PUNCT
ejpam-3455	87	24	(	(	PUNCT
ejpam-3455	87	25	9	9	X
ejpam-3455	87	26	)	)	PUNCT
ejpam-3455	87	27	where	where	SCONJ
ejpam-3455	87	28	h(t	h(t	PROPN
ejpam-3455	87	29	)	)	PUNCT
ejpam-3455	87	30	is	be	AUX
ejpam-3455	87	31	the	the	DET
ejpam-3455	87	32	heaviside	heaviside	ADJ
ejpam-3455	87	33	function	function	NOUN
ejpam-3455	87	34	.	.	PUNCT
ejpam-3455	88	1	moreover	moreover	ADV
ejpam-3455	88	2	,	,	PUNCT
ejpam-3455	88	3	the	the	DET
ejpam-3455	88	4	natural	natural	ADJ
ejpam-3455	88	5	conditions	condition	NOUN
ejpam-3455	88	6	u(y	u(y	PROPN
ejpam-3455	88	7	,	,	PUNCT
ejpam-3455	88	8	t	t	PROPN
ejpam-3455	88	9	)	)	PUNCT
ejpam-3455	88	10	,	,	PUNCT
ejpam-3455	88	11	∂u(y	∂u(y	PROPN
ejpam-3455	88	12	,	,	PUNCT
ejpam-3455	88	13	t	t	PROPN
ejpam-3455	88	14	)	)	PUNCT
ejpam-3455	88	15	∂y	∂y	PROPN
ejpam-3455	88	16	→	→	SYM
ejpam-3455	88	17	0	0	PUNCT
ejpam-3455	88	18	as	as	ADP
ejpam-3455	88	19	y	y	PROPN
ejpam-3455	88	20	→∞	→∞	PROPN
ejpam-3455	88	21	and	and	CCONJ
ejpam-3455	88	22	t	t	PROPN
ejpam-3455	88	23	>	>	X
ejpam-3455	88	24	0	0	NUM
ejpam-3455	88	25	,	,	PUNCT
ejpam-3455	88	26	(	(	PUNCT
ejpam-3455	88	27	10	10	NUM
ejpam-3455	88	28	)	)	PUNCT
ejpam-3455	88	29	have	have	VERB
ejpam-3455	88	30	to	to	PART
ejpam-3455	88	31	be	be	AUX
ejpam-3455	88	32	also	also	ADV
ejpam-3455	88	33	satisfied	satisfied	ADJ
ejpam-3455	88	34	.	.	PUNCT
ejpam-3455	89	1	the	the	DET
ejpam-3455	89	2	system	system	NOUN
ejpam-3455	89	3	of	of	ADP
ejpam-3455	89	4	fractional	fractional	ADJ
ejpam-3455	89	5	partial	partial	ADJ
ejpam-3455	89	6	differential	differential	NOUN
ejpam-3455	89	7	equation	equation	NOUN
ejpam-3455	89	8	(	(	PUNCT
ejpam-3455	89	9	4	4	NUM
ejpam-3455	89	10	)	)	PUNCT
ejpam-3455	89	11	and	and	CCONJ
ejpam-3455	89	12	(	(	PUNCT
ejpam-3455	89	13	5	5	NUM
ejpam-3455	89	14	)	)	PUNCT
ejpam-3455	89	15	,	,	PUNCT
ejpam-3455	89	16	with	with	ADP
ejpam-3455	89	17	fitting	fitting	ADJ
ejpam-3455	89	18	initial	initial	ADJ
ejpam-3455	89	19	and	and	CCONJ
ejpam-3455	89	20	boundary	boundary	ADJ
ejpam-3455	89	21	limitations	limitation	NOUN
ejpam-3455	89	22	(	(	PUNCT
ejpam-3455	89	23	7	7	NUM
ejpam-3455	89	24	)	)	PUNCT
ejpam-3455	89	25	−	−	PROPN
ejpam-3455	89	26	(	(	PUNCT
ejpam-3455	89	27	10	10	NUM
ejpam-3455	89	28	)	)	PUNCT
ejpam-3455	89	29	,	,	PUNCT
ejpam-3455	89	30	will	will	AUX
ejpam-3455	89	31	be	be	AUX
ejpam-3455	89	32	tackled	tackle	VERB
ejpam-3455	89	33	by	by	ADP
ejpam-3455	89	34	laplace	laplace	NOUN
ejpam-3455	89	35	transforms	transform	VERB
ejpam-3455	89	36	.	.	PUNCT
ejpam-3455	90	1	so	so	ADV
ejpam-3455	90	2	as	as	SCONJ
ejpam-3455	90	3	to	to	PART
ejpam-3455	90	4	maintain	maintain	VERB
ejpam-3455	90	5	a	a	DET
ejpam-3455	90	6	strategic	strategic	ADJ
ejpam-3455	90	7	distance	distance	NOUN
ejpam-3455	90	8	from	from	ADP
ejpam-3455	90	9	extensive	extensive	ADJ
ejpam-3455	90	10	calculations	calculation	NOUN
ejpam-3455	90	11	of	of	ADP
ejpam-3455	90	12	buildups	buildup	NOUN
ejpam-3455	90	13	and	and	CCONJ
ejpam-3455	90	14	contour	contour	NOUN
ejpam-3455	90	15	integrals	integral	NOUN
ejpam-3455	90	16	,	,	PUNCT
ejpam-3455	90	17	the	the	DET
ejpam-3455	90	18	discrete	discrete	ADJ
ejpam-3455	90	19	inverse	inverse	NOUN
ejpam-3455	90	20	laplace	laplace	NOUN
ejpam-3455	90	21	transform	transform	NOUN
ejpam-3455	90	22	method	method	NOUN
ejpam-3455	90	23	is	be	AUX
ejpam-3455	90	24	applied	apply	VERB
ejpam-3455	90	25	.	.	PUNCT
ejpam-3455	91	1	the	the	DET
ejpam-3455	91	2	proposed	propose	VERB
ejpam-3455	91	3	method	method	NOUN
ejpam-3455	91	4	yield	yield	VERB
ejpam-3455	91	5	the	the	DET
ejpam-3455	91	6	results	result	NOUN
ejpam-3455	91	7	in	in	ADP
ejpam-3455	91	8	more	more	ADV
ejpam-3455	91	9	compact	compact	ADJ
ejpam-3455	91	10	,	,	PUNCT
ejpam-3455	91	11	simplified	simplified	ADJ
ejpam-3455	91	12	and	and	CCONJ
ejpam-3455	91	13	generalized	generalized	ADJ
ejpam-3455	91	14	form	form	NOUN
ejpam-3455	91	15	.	.	PUNCT
ejpam-3455	92	1	participation	participation	NOUN
ejpam-3455	92	2	of	of	ADP
ejpam-3455	92	3	each	each	DET
ejpam-3455	92	4	factor	factor	NOUN
ejpam-3455	92	5	can	can	AUX
ejpam-3455	92	6	easily	easily	ADV
ejpam-3455	92	7	be	be	AUX
ejpam-3455	92	8	observed	observe	VERB
ejpam-3455	92	9	in	in	ADP
ejpam-3455	92	10	the	the	DET
ejpam-3455	92	11	solutions	solution	NOUN
ejpam-3455	92	12	,	,	PUNCT
ejpam-3455	92	13	whereas	whereas	SCONJ
ejpam-3455	92	14	the	the	DET
ejpam-3455	92	15	solutions	solution	NOUN
ejpam-3455	92	16	obtained	obtain	VERB
ejpam-3455	92	17	by	by	ADP
ejpam-3455	92	18	above	above	ADP
ejpam-3455	92	19	method	method	NOUN
ejpam-3455	92	20	can	can	AUX
ejpam-3455	92	21	directly	directly	ADV
ejpam-3455	92	22	be	be	AUX
ejpam-3455	92	23	reduced	reduce	VERB
ejpam-3455	92	24	into	into	ADP
ejpam-3455	92	25	the	the	DET
ejpam-3455	92	26	all	all	PRON
ejpam-3455	92	27	of	of	ADP
ejpam-3455	92	28	its	its	PRON
ejpam-3455	92	29	subclass	subclass	NOUN
ejpam-3455	92	30	fluids	fluid	NOUN
ejpam-3455	92	31	in	in	ADP
ejpam-3455	92	32	the	the	DET
ejpam-3455	92	33	presence	presence	NOUN
ejpam-3455	92	34	or	or	CCONJ
ejpam-3455	92	35	absence	absence	NOUN
ejpam-3455	92	36	of	of	ADP
ejpam-3455	92	37	porous	porous	ADJ
ejpam-3455	92	38	,	,	PUNCT
ejpam-3455	92	39	magnetic	magnetic	ADJ
ejpam-3455	92	40	,	,	PUNCT
ejpam-3455	92	41	and	and	CCONJ
ejpam-3455	92	42	slip	slip	VERB
ejpam-3455	92	43	parameters	parameter	NOUN
ejpam-3455	92	44	.	.	PUNCT
ejpam-3455	93	1	obtained	obtain	VERB
ejpam-3455	93	2	results	result	NOUN
ejpam-3455	93	3	completely	completely	ADV
ejpam-3455	93	4	agree	agree	VERB
ejpam-3455	93	5	with	with	ADP
ejpam-3455	93	6	jamil	jamil	PROPN
ejpam-3455	94	1	[	[	X
ejpam-3455	94	2	15	15	NUM
ejpam-3455	94	3	]	]	PUNCT
ejpam-3455	94	4	for	for	ADP
ejpam-3455	94	5	first	first	ADJ
ejpam-3455	94	6	slip	slip	NOUN
ejpam-3455	94	7	,	,	PUNCT
ejpam-3455	94	8	while	while	SCONJ
ejpam-3455	94	9	comparing	compare	VERB
ejpam-3455	94	10	the	the	DET
ejpam-3455	94	11	effects	effect	NOUN
ejpam-3455	94	12	of	of	ADP
ejpam-3455	94	13	twice	twice	ADJ
ejpam-3455	94	14	order	order	NOUN
ejpam-3455	94	15	slip	slip	NOUN
ejpam-3455	94	16	with	with	ADP
ejpam-3455	94	17	exiting	exit	VERB
ejpam-3455	94	18	literature[18	literature[18	NOUN
ejpam-3455	94	19	,	,	PUNCT
ejpam-3455	94	20	21	21	NUM
ejpam-3455	94	21	,	,	PUNCT
ejpam-3455	94	22	24	24	NUM
ejpam-3455	94	23	]	]	PUNCT
ejpam-3455	94	24	for	for	ADP
ejpam-3455	94	25	other	other	ADJ
ejpam-3455	94	26	nonlinear	nonlinear	ADJ
ejpam-3455	94	27	motions	motion	NOUN
ejpam-3455	94	28	of	of	ADP
ejpam-3455	94	29	the	the	DET
ejpam-3455	94	30	plate	plate	NOUN
ejpam-3455	94	31	,	,	PUNCT
ejpam-3455	94	32	similar	similar	ADJ
ejpam-3455	94	33	behavior	behavior	NOUN
ejpam-3455	94	34	for	for	ADP
ejpam-3455	94	35	oscillatory	oscillatory	ADJ
ejpam-3455	94	36	motion	motion	NOUN
ejpam-3455	94	37	of	of	ADP
ejpam-3455	94	38	the	the	DET
ejpam-3455	94	39	plate	plate	NOUN
ejpam-3455	94	40	is	be	AUX
ejpam-3455	94	41	observed	observe	VERB
ejpam-3455	94	42	.	.	PUNCT
ejpam-3455	95	1	the	the	DET
ejpam-3455	95	2	solutions	solution	NOUN
ejpam-3455	95	3	show	show	VERB
ejpam-3455	95	4	that	that	SCONJ
ejpam-3455	95	5	the	the	DET
ejpam-3455	95	6	velocity	velocity	NOUN
ejpam-3455	95	7	comparing	compare	VERB
ejpam-3455	95	8	to	to	PART
ejpam-3455	95	9	flow	flow	VERB
ejpam-3455	95	10	with	with	ADP
ejpam-3455	95	11	slip	slip	NOUN
ejpam-3455	95	12	condition	condition	NOUN
ejpam-3455	95	13	is	be	AUX
ejpam-3455	95	14	lower	low	ADJ
ejpam-3455	95	15	than	than	ADP
ejpam-3455	95	16	that	that	PRON
ejpam-3455	95	17	with	with	ADP
ejpam-3455	95	18	no	no	DET
ejpam-3455	95	19	-	-	PUNCT
ejpam-3455	95	20	slip	slip	NOUN
ejpam-3455	95	21	conditions	condition	NOUN
ejpam-3455	95	22	,	,	PUNCT
ejpam-3455	95	23	and	and	CCONJ
ejpam-3455	95	24	the	the	DET
ejpam-3455	95	25	velocity	velocity	NOUN
ejpam-3455	95	26	with	with	ADP
ejpam-3455	95	27	twice	twice	ADJ
ejpam-3455	95	28	order	order	NOUN
ejpam-3455	95	29	slip	slip	NOUN
ejpam-3455	95	30	condition	condition	NOUN
ejpam-3455	95	31	is	be	AUX
ejpam-3455	95	32	lower	low	ADJ
ejpam-3455	95	33	than	than	ADP
ejpam-3455	95	34	that	that	PRON
ejpam-3455	95	35	with	with	ADP
ejpam-3455	95	36	first	first	ADJ
ejpam-3455	95	37	order	order	NOUN
ejpam-3455	95	38	slip	slip	VERB
ejpam-3455	95	39	condition	condition	NOUN
ejpam-3455	95	40	.	.	PUNCT
ejpam-3455	96	1	3	3	X
ejpam-3455	96	2	.	.	X
ejpam-3455	96	3	solution	solution	NOUN
ejpam-3455	96	4	of	of	ADP
ejpam-3455	96	5	the	the	DET
ejpam-3455	96	6	problem	problem	NOUN
ejpam-3455	96	7	3.1	3.1	NUM
ejpam-3455	96	8	.	.	PUNCT
ejpam-3455	97	1	calculation	calculation	NOUN
ejpam-3455	97	2	of	of	ADP
ejpam-3455	97	3	the	the	DET
ejpam-3455	97	4	velocity	velocity	NOUN
ejpam-3455	97	5	field	field	NOUN
ejpam-3455	97	6	application	application	NOUN
ejpam-3455	97	7	of	of	ADP
ejpam-3455	97	8	the	the	DET
ejpam-3455	97	9	laplace	laplace	NOUN
ejpam-3455	97	10	transforms	transform	VERB
ejpam-3455	97	11	to	to	ADP
ejpam-3455	97	12	eq	eq	PROPN
ejpam-3455	97	13	.	.	PUNCT
ejpam-3455	98	1	(	(	PUNCT
ejpam-3455	98	2	4	4	NUM
ejpam-3455	98	3	)	)	PUNCT
ejpam-3455	98	4	and	and	CCONJ
ejpam-3455	98	5	using	use	VERB
ejpam-3455	98	6	the	the	DET
ejpam-3455	98	7	initial	initial	ADJ
ejpam-3455	98	8	condition	condition	NOUN
ejpam-3455	98	9	(	(	PUNCT
ejpam-3455	98	10	7)1,2	7)1,2	NUM
ejpam-3455	98	11	,	,	PUNCT
ejpam-3455	98	12	we	we	PRON
ejpam-3455	98	13	obtained	obtain	VERB
ejpam-3455	98	14	∂2u(y	∂2u(y	NOUN
ejpam-3455	98	15	,	,	PUNCT
ejpam-3455	98	16	q	q	NOUN
ejpam-3455	98	17	)	)	PUNCT
ejpam-3455	98	18	∂y2	∂y2	ADJ
ejpam-3455	98	19	−	−	X
ejpam-3455	99	1	(	(	PUNCT
ejpam-3455	99	2	q	q	PUNCT
ejpam-3455	99	3	+	+	NOUN
ejpam-3455	99	4	m)(1	m)(1	PRON
ejpam-3455	99	5	+	+	CCONJ
ejpam-3455	99	6	λαqα	λαqα	ADJ
ejpam-3455	99	7	)	)	PUNCT
ejpam-3455	99	8	+	+	NUM
ejpam-3455	99	9	ψ	ψ	X
ejpam-3455	99	10	ν	ν	X
ejpam-3455	99	11	u(y	u(y	PROPN
ejpam-3455	99	12	,	,	PUNCT
ejpam-3455	99	13	q	q	NOUN
ejpam-3455	99	14	)	)	PUNCT
ejpam-3455	99	15	=	=	SYM
ejpam-3455	99	16	0	0	NUM
ejpam-3455	99	17	,	,	PUNCT
ejpam-3455	99	18	(	(	PUNCT
ejpam-3455	99	19	11	11	NUM
ejpam-3455	99	20	)	)	PUNCT
ejpam-3455	99	21	subject	subject	NOUN
ejpam-3455	99	22	to	to	ADP
ejpam-3455	99	23	boundary	boundary	ADJ
ejpam-3455	99	24	conditions	condition	NOUN
ejpam-3455	99	25	for	for	ADP
ejpam-3455	99	26	sine	sine	ADJ
ejpam-3455	99	27	oscillations	oscillation	NOUN
ejpam-3455	99	28	u(0	u(0	PROPN
ejpam-3455	99	29	,	,	PUNCT
ejpam-3455	99	30	t	t	PROPN
ejpam-3455	99	31	)	)	PUNCT
ejpam-3455	100	1	=	=	SYM
ejpam-3455	100	2	u	u	PROPN
ejpam-3455	100	3	ω	ω	NUM
ejpam-3455	100	4	q2	q2	NOUN
ejpam-3455	100	5	+	+	CCONJ
ejpam-3455	100	6	ω2	ω2	ADJ
ejpam-3455	100	7	+	+	CCONJ
ejpam-3455	100	8	θ1	θ1	NOUN
ejpam-3455	100	9	∂u(y	∂u(y	PROPN
ejpam-3455	100	10	,	,	PUNCT
ejpam-3455	100	11	0	0	NUM
ejpam-3455	100	12	)	)	PUNCT
ejpam-3455	100	13	∂y	∂y	NOUN
ejpam-3455	100	14	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	100	15	y=0	y=0	NOUN
ejpam-3455	100	16	−	−	X
ejpam-3455	100	17	θ2	θ2	PROPN
ejpam-3455	100	18	∂2u(y	∂2u(y	NOUN
ejpam-3455	100	19	,	,	PUNCT
ejpam-3455	100	20	0	0	NUM
ejpam-3455	100	21	)	)	PUNCT
ejpam-3455	100	22	∂y2	∂y2	ADJ
ejpam-3455	100	23	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3455	100	24	y=0	y=0	NOUN
ejpam-3455	100	25	,	,	PUNCT
ejpam-3455	100	26	(	(	PUNCT
ejpam-3455	100	27	12	12	NUM
ejpam-3455	100	28	)	)	PUNCT
ejpam-3455	100	29	m.	m.	NOUN
ejpam-3455	100	30	jamil	jamil	PROPN
ejpam-3455	100	31	,	,	PUNCT
ejpam-3455	100	32	i.	i.	PROPN
ejpam-3455	100	33	ahmed	ahmed	PROPN
ejpam-3455	100	34	/	/	PUNCT
ejpam-3455	100	35	eur	eur	PROPN
ejpam-3455	100	36	.	.	PUNCT
ejpam-3455	101	1	j.	j.	PROPN
ejpam-3455	101	2	pure	pure	PROPN
ejpam-3455	101	3	appl	appl	PROPN
ejpam-3455	101	4	.	.	PROPN
ejpam-3455	101	5	math	math	PROPN
ejpam-3455	101	6	,	,	PUNCT
ejpam-3455	101	7	12	12	NUM
ejpam-3455	101	8	(	(	PUNCT
ejpam-3455	101	9	3	3	NUM
ejpam-3455	101	10	)	)	PUNCT
ejpam-3455	101	11	(	(	PUNCT
ejpam-3455	101	12	2019	2019	NUM
ejpam-3455	101	13	)	)	PUNCT
ejpam-3455	101	14	,	,	PUNCT
ejpam-3455	101	15	1018	1018	NUM
ejpam-3455	101	16	-	-	SYM
ejpam-3455	101	17	1051	1051	NUM
ejpam-3455	101	18	1024	1024	NUM
ejpam-3455	101	19	and	and	CCONJ
ejpam-3455	101	20	natural	natural	ADJ
ejpam-3455	101	21	conditions	condition	NOUN
ejpam-3455	101	22	u(y	u(y	NOUN
ejpam-3455	101	23	,	,	PUNCT
ejpam-3455	101	24	q	q	NOUN
ejpam-3455	101	25	)	)	PUNCT
ejpam-3455	101	26	,	,	PUNCT
ejpam-3455	101	27	∂u(y	∂u(y	NUM
ejpam-3455	101	28	,	,	PUNCT
ejpam-3455	101	29	q	q	NOUN
ejpam-3455	101	30	)	)	PUNCT
ejpam-3455	101	31	∂y	∂y	SYM
ejpam-3455	101	32	→	→	SYM
ejpam-3455	101	33	0	0	PUNCT
ejpam-3455	101	34	as	as	ADP
ejpam-3455	101	35	y	y	PROPN
ejpam-3455	101	36	→∞	→∞	PROPN
ejpam-3455	101	37	,	,	PUNCT
ejpam-3455	101	38	(	(	PUNCT
ejpam-3455	101	39	13	13	NUM
ejpam-3455	101	40	)	)	PUNCT
ejpam-3455	101	41	where	where	SCONJ
ejpam-3455	101	42	u(y	u(y	NOUN
ejpam-3455	101	43	,	,	PUNCT
ejpam-3455	101	44	q)is	q)is	PROPN
ejpam-3455	101	45	the	the	DET
ejpam-3455	101	46	image	image	NOUN
ejpam-3455	101	47	function	function	NOUN
ejpam-3455	101	48	of	of	ADP
ejpam-3455	101	49	u(y	u(y	PROPN
ejpam-3455	101	50	,	,	PUNCT
ejpam-3455	101	51	t	t	PROPN
ejpam-3455	101	52	)	)	PUNCT
ejpam-3455	101	53	and	and	CCONJ
ejpam-3455	101	54	q	q	NOUN
ejpam-3455	101	55	is	be	AUX
ejpam-3455	101	56	the	the	DET
ejpam-3455	101	57	transform	transform	NOUN
ejpam-3455	101	58	parameter	parameter	NOUN
ejpam-3455	101	59	.	.	PUNCT
ejpam-3455	102	1	solving	solve	VERB
ejpam-3455	102	2	eqs.(11	eqs.(11	PROPN
ejpam-3455	102	3	)	)	PUNCT
ejpam-3455	102	4	and	and	CCONJ
ejpam-3455	102	5	(	(	PUNCT
ejpam-3455	102	6	12	12	NUM
ejpam-3455	102	7	)	)	PUNCT
ejpam-3455	102	8	,	,	PUNCT
ejpam-3455	102	9	utilizing	utilize	VERB
ejpam-3455	102	10	conditions	condition	NOUN
ejpam-3455	102	11	(	(	PUNCT
ejpam-3455	102	12	13	13	NUM
ejpam-3455	102	13	)	)	PUNCT
ejpam-3455	102	14	,	,	PUNCT
ejpam-3455	102	15	we	we	PRON
ejpam-3455	102	16	get	get	VERB
ejpam-3455	102	17	u(y	u(y	NOUN
ejpam-3455	102	18	,	,	PUNCT
ejpam-3455	102	19	q	q	NOUN
ejpam-3455	102	20	)	)	PUNCT
ejpam-3455	102	21	=	=	SYM
ejpam-3455	102	22	uω	uω	ADV
ejpam-3455	102	23	(	(	PUNCT
ejpam-3455	102	24	q2	q2	NOUN
ejpam-3455	102	25	+	+	CCONJ
ejpam-3455	102	26	ω2	ω2	ADJ
ejpam-3455	102	27	)	)	PUNCT
ejpam-3455	102	28	{	{	PUNCT
ejpam-3455	103	1	1	1	NUM
ejpam-3455	103	2	+	+	NUM
ejpam-3455	103	3	θ1	θ1	NOUN
ejpam-3455	103	4	[	[	PUNCT
ejpam-3455	103	5	(	(	PUNCT
ejpam-3455	103	6	q+m)(1+λαqα)+ψ	q+m)(1+λαqα)+ψ	PROPN
ejpam-3455	103	7	ν	ν	X
ejpam-3455	103	8	]	]	X
ejpam-3455	103	9	1	1	NUM
ejpam-3455	103	10	2	2	NUM
ejpam-3455	103	11	+	+	NUM
ejpam-3455	103	12	θ2	θ2	PROPN
ejpam-3455	103	13	[	[	PUNCT
ejpam-3455	103	14	(	(	PUNCT
ejpam-3455	103	15	q+m)(1+λαqα)+ψ	q+m)(1+λαqα)+ψ	PROPN
ejpam-3455	103	16	ν	ν	X
ejpam-3455	103	17	]	]	PUNCT
ejpam-3455	103	18	}	}	PUNCT
ejpam-3455	103	19	×	×	NOUN
ejpam-3455	103	20	exp	exp	NOUN
ejpam-3455	103	21	{	{	PUNCT
ejpam-3455	103	22	−	−	PROPN
ejpam-3455	103	23	[	[	PUNCT
ejpam-3455	103	24	(	(	PUNCT
ejpam-3455	103	25	q	q	X
ejpam-3455	103	26	+	+	NOUN
ejpam-3455	103	27	m)(1	m)(1	PRON
ejpam-3455	103	28	+	+	CCONJ
ejpam-3455	103	29	λαqα	λαqα	ADJ
ejpam-3455	103	30	)	)	PUNCT
ejpam-3455	103	31	+	+	NUM
ejpam-3455	103	32	ψ	ψ	X
ejpam-3455	103	33	ν	ν	X
ejpam-3455	103	34	]	]	X
ejpam-3455	103	35	1	1	NUM
ejpam-3455	103	36	2	2	NUM
ejpam-3455	103	37	y	y	PROPN
ejpam-3455	103	38	}	}	PUNCT
ejpam-3455	103	39	.	.	PUNCT
ejpam-3455	104	1	(	(	PUNCT
ejpam-3455	104	2	14	14	NUM
ejpam-3455	104	3	)	)	PUNCT
ejpam-3455	104	4	to	to	PART
ejpam-3455	104	5	acquire	acquire	VERB
ejpam-3455	104	6	u(y	u(y	PROPN
ejpam-3455	104	7	,	,	PUNCT
ejpam-3455	104	8	t	t	PROPN
ejpam-3455	104	9	)	)	PUNCT
ejpam-3455	104	10	=	=	SYM
ejpam-3455	105	1	l−1{u(y	l−1{u(y	ADJ
ejpam-3455	105	2	,	,	PUNCT
ejpam-3455	105	3	q	q	NOUN
ejpam-3455	105	4	)	)	PUNCT
ejpam-3455	105	5	}	}	PUNCT
ejpam-3455	105	6	and	and	CCONJ
ejpam-3455	105	7	to	to	PART
ejpam-3455	105	8	evade	evade	VERB
ejpam-3455	105	9	the	the	DET
ejpam-3455	105	10	prolix	prolix	ADJ
ejpam-3455	105	11	computations	computation	NOUN
ejpam-3455	105	12	of	of	ADP
ejpam-3455	105	13	residuals	residual	NOUN
ejpam-3455	105	14	and	and	CCONJ
ejpam-3455	105	15	contours	contours	NOUN
ejpam-3455	105	16	integrals	integral	NOUN
ejpam-3455	105	17	,	,	PUNCT
ejpam-3455	105	18	we	we	PRON
ejpam-3455	105	19	utilize	utilize	VERB
ejpam-3455	105	20	the	the	DET
ejpam-3455	105	21	inverse	inverse	ADJ
ejpam-3455	105	22	laplace	laplace	NOUN
ejpam-3455	105	23	transform	transform	NOUN
ejpam-3455	105	24	method	method	NOUN
ejpam-3455	105	25	.	.	PUNCT
ejpam-3455	106	1	however	however	ADV
ejpam-3455	106	2	,	,	PUNCT
ejpam-3455	106	3	for	for	ADP
ejpam-3455	106	4	a	a	DET
ejpam-3455	106	5	proper	proper	ADJ
ejpam-3455	106	6	presentation	presentation	NOUN
ejpam-3455	106	7	of	of	ADP
ejpam-3455	106	8	the	the	DET
ejpam-3455	106	9	velocity	velocity	NOUN
ejpam-3455	106	10	field	field	NOUN
ejpam-3455	106	11	,	,	PUNCT
ejpam-3455	106	12	the	the	DET
ejpam-3455	106	13	series	series	NOUN
ejpam-3455	106	14	form	form	NOUN
ejpam-3455	106	15	representation	representation	NOUN
ejpam-3455	106	16	of	of	ADP
ejpam-3455	106	17	eq	eq	PROPN
ejpam-3455	106	18	.	.	PUNCT
ejpam-3455	107	1	(	(	PUNCT
ejpam-3455	107	2	14	14	NUM
ejpam-3455	107	3	)	)	PUNCT
ejpam-3455	107	4	is	be	AUX
ejpam-3455	107	5	u(y	u(y	NOUN
ejpam-3455	107	6	,	,	PUNCT
ejpam-3455	107	7	q	q	NOUN
ejpam-3455	107	8	)	)	PUNCT
ejpam-3455	107	9	=	=	SYM
ejpam-3455	107	10	uω	uω	ADP
ejpam-3455	107	11	q2	q2	NOUN
ejpam-3455	107	12	+	+	CCONJ
ejpam-3455	108	1	ω2	ω2	ADJ
ejpam-3455	108	2	+	+	CCONJ
ejpam-3455	108	3	uω	uω	ADV
ejpam-3455	108	4	∞∑	∞∑	NUM
ejpam-3455	108	5	i=1	i=1	PRON
ejpam-3455	108	6	(	(	PUNCT
ejpam-3455	108	7	−1)i	−1)i	X
ejpam-3455	108	8	∞∑	∞∑	NUM
ejpam-3455	108	9	j=0	j=0	PROPN
ejpam-3455	108	10	1	1	NUM
ejpam-3455	108	11	j	j	NOUN
ejpam-3455	108	12	!	!	PUNCT
ejpam-3455	109	1	(	(	PUNCT
ejpam-3455	109	2	θ1√	θ1√	NOUN
ejpam-3455	109	3	ν	ν	NOUN
ejpam-3455	109	4	)	)	PUNCT
ejpam-3455	109	5	i−j	i−j	PROPN
ejpam-3455	109	6	(	(	PUNCT
ejpam-3455	109	7	−θ2	−θ2	PROPN
ejpam-3455	109	8	ν	ν	PROPN
ejpam-3455	109	9	)	)	PUNCT
ejpam-3455	110	1	j	j	PROPN
ejpam-3455	110	2	∞∑	∞∑	NUM
ejpam-3455	110	3	l=0	l=0	PROPN
ejpam-3455	110	4	(	(	PUNCT
ejpam-3455	110	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	110	6	l	l	NOUN
ejpam-3455	110	7	!	!	PUNCT
ejpam-3455	111	1	∞∑	∞∑	ADJ
ejpam-3455	111	2	m=0	m=0	PROPN
ejpam-3455	111	3	(	(	PUNCT
ejpam-3455	111	4	−m)m	−m)m	NOUN
ejpam-3455	111	5	m	m	VERB
ejpam-3455	111	6	!	!	PUNCT
ejpam-3455	112	1	∞∑	∞∑	ADJ
ejpam-3455	112	2	n=0	n=0	NUM
ejpam-3455	112	3	(	(	PUNCT
ejpam-3455	112	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	112	5	(	(	PUNCT
ejpam-3455	112	6	i+j	i+j	NUM
ejpam-3455	112	7	2	2	NUM
ejpam-3455	112	8	−l	−l	NOUN
ejpam-3455	112	9	)	)	PUNCT
ejpam-3455	112	10	×	×	NOUN
ejpam-3455	112	11	∞∑	∞∑	PROPN
ejpam-3455	112	12	p=0	p=0	PROPN
ejpam-3455	112	13	γ(j	γ(j	NOUN
ejpam-3455	112	14	−	−	PROPN
ejpam-3455	112	15	i)γ(l	i)γ(l	ADJ
ejpam-3455	112	16	−	−	PROPN
ejpam-3455	112	17	i+j	i+j	NUM
ejpam-3455	112	18	2	2	NUM
ejpam-3455	112	19	)	)	PUNCT
ejpam-3455	112	20	γ(m−	γ(m−	PROPN
ejpam-3455	112	21	i+j	i+j	NUM
ejpam-3455	112	22	2	2	NUM
ejpam-3455	112	23	+	+	CCONJ
ejpam-3455	112	24	l)γ(p−	l)γ(p−	NOUN
ejpam-3455	112	25	i+j	i+j	NUM
ejpam-3455	112	26	2	2	NUM
ejpam-3455	112	27	+	+	CCONJ
ejpam-3455	112	28	l)(−λα)−p	l)(−λα)−p	PROPN
ejpam-3455	112	29	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	112	30	i+j	i+j	CCONJ
ejpam-3455	112	31	2	2	NUM
ejpam-3455	112	32	)	)	PUNCT
ejpam-3455	112	33	γ(−	γ(−	NOUN
ejpam-3455	112	34	i+j	i+j	NUM
ejpam-3455	112	35	2	2	NUM
ejpam-3455	112	36	+	+	CCONJ
ejpam-3455	112	37	l)γ(−	l)γ(−	X
ejpam-3455	112	38	i+j	i+j	NUM
ejpam-3455	112	39	2	2	NUM
ejpam-3455	112	40	+	+	NUM
ejpam-3455	112	41	l	l	NOUN
ejpam-3455	112	42	)	)	PUNCT
ejpam-3455	112	43	1	1	NUM
ejpam-3455	112	44	qαp−(1+α	qαp−(1+α	NOUN
ejpam-3455	112	45	)	)	PUNCT
ejpam-3455	112	46	(	(	PUNCT
ejpam-3455	112	47	i+j	i+j	NUM
ejpam-3455	112	48	2	2	NUM
ejpam-3455	112	49	−l)+m+2n+2	−l)+m+2n+2	NUM
ejpam-3455	112	50	+	+	ADP
ejpam-3455	112	51	uω	uω	PROPN
ejpam-3455	112	52	∞∑	∞∑	PROPN
ejpam-3455	112	53	i=0	i=0	ADJ
ejpam-3455	112	54	(	(	PUNCT
ejpam-3455	112	55	−1)i	−1)i	X
ejpam-3455	112	56	∞∑	∞∑	NUM
ejpam-3455	112	57	j=0	j=0	PROPN
ejpam-3455	112	58	1	1	NUM
ejpam-3455	112	59	j	j	NOUN
ejpam-3455	112	60	!	!	PUNCT
ejpam-3455	113	1	(	(	PUNCT
ejpam-3455	113	2	θ1√	θ1√	NOUN
ejpam-3455	113	3	ν	ν	NOUN
ejpam-3455	113	4	)	)	PUNCT
ejpam-3455	113	5	i−j	i−j	PROPN
ejpam-3455	113	6	(	(	PUNCT
ejpam-3455	113	7	−θ2	−θ2	PROPN
ejpam-3455	113	8	ν	ν	PROPN
ejpam-3455	113	9	)	)	PUNCT
ejpam-3455	114	1	j	j	PROPN
ejpam-3455	115	1	∞∑	∞∑	NUM
ejpam-3455	115	2	k=1	k=1	PROPN
ejpam-3455	115	3	1	1	NUM
ejpam-3455	115	4	k	k	NOUN
ejpam-3455	115	5	!	!	PUNCT
ejpam-3455	116	1	(	(	PUNCT
ejpam-3455	116	2	−	−	PROPN
ejpam-3455	116	3	y√	y√	NOUN
ejpam-3455	116	4	ν	ν	NOUN
ejpam-3455	116	5	)	)	PUNCT
ejpam-3455	117	1	k	k	PROPN
ejpam-3455	117	2	∞∑	∞∑	NUM
ejpam-3455	117	3	l=0	l=0	PROPN
ejpam-3455	117	4	(	(	PUNCT
ejpam-3455	117	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	117	6	l	l	NOUN
ejpam-3455	117	7	!	!	PUNCT
ejpam-3455	118	1	∞∑	∞∑	ADJ
ejpam-3455	118	2	m=0	m=0	PROPN
ejpam-3455	118	3	(	(	PUNCT
ejpam-3455	118	4	−m)m	−m)m	NOUN
ejpam-3455	118	5	m	m	VERB
ejpam-3455	118	6	!	!	PUNCT
ejpam-3455	119	1	∞∑	∞∑	ADJ
ejpam-3455	119	2	n=0	n=0	NUM
ejpam-3455	119	3	(	(	PUNCT
ejpam-3455	119	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	119	5	(	(	PUNCT
ejpam-3455	119	6	i+j+k	i+j+k	NOUN
ejpam-3455	119	7	2	2	NUM
ejpam-3455	119	8	−l	−l	NOUN
ejpam-3455	119	9	)	)	PUNCT
ejpam-3455	119	10	×	×	NOUN
ejpam-3455	119	11	∞∑	∞∑	PROPN
ejpam-3455	119	12	p=0	p=0	PROPN
ejpam-3455	119	13	γ(j	γ(j	NOUN
ejpam-3455	119	14	−	−	PROPN
ejpam-3455	119	15	i)γ(l	i)γ(l	ADJ
ejpam-3455	119	16	−	−	PROPN
ejpam-3455	119	17	i+j+k	i+j+k	NOUN
ejpam-3455	119	18	2	2	NUM
ejpam-3455	119	19	)	)	PUNCT
ejpam-3455	119	20	γ(m−	γ(m−	PROPN
ejpam-3455	119	21	i+j+k	i+j+k	NOUN
ejpam-3455	119	22	2	2	NUM
ejpam-3455	119	23	+	+	CCONJ
ejpam-3455	119	24	l)γ(p−	l)γ(p−	NOUN
ejpam-3455	119	25	i+j+k	i+j+k	NOUN
ejpam-3455	119	26	2	2	NUM
ejpam-3455	120	1	+	+	CCONJ
ejpam-3455	120	2	l)(−λα)−p	l)(−λα)−p	PROPN
ejpam-3455	120	3	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	120	4	i+j+k	i+j+k	NOUN
ejpam-3455	120	5	2	2	NUM
ejpam-3455	120	6	)	)	PUNCT
ejpam-3455	120	7	γ(−	γ(−	NOUN
ejpam-3455	120	8	i+j+k	i+j+k	NOUN
ejpam-3455	120	9	2	2	NUM
ejpam-3455	121	1	+	+	CCONJ
ejpam-3455	121	2	l)γ(−	l)γ(−	NOUN
ejpam-3455	121	3	i+j+k	i+j+k	NOUN
ejpam-3455	121	4	2	2	NUM
ejpam-3455	121	5	+	+	NUM
ejpam-3455	121	6	l	l	NOUN
ejpam-3455	121	7	)	)	PUNCT
ejpam-3455	121	8	1	1	NUM
ejpam-3455	121	9	qαp−(1+α	qαp−(1+α	NOUN
ejpam-3455	121	10	)	)	PUNCT
ejpam-3455	121	11	(	(	PUNCT
ejpam-3455	121	12	i+j+k	i+j+k	NOUN
ejpam-3455	121	13	2	2	NUM
ejpam-3455	121	14	−l)+m+2n+2	−l)+m+2n+2	NUM
ejpam-3455	121	15	.(15	.(15	PUNCT
ejpam-3455	121	16	)	)	PUNCT
ejpam-3455	121	17	applying	apply	VERB
ejpam-3455	121	18	the	the	DET
ejpam-3455	121	19	discrete	discrete	ADJ
ejpam-3455	121	20	inverse	inverse	NOUN
ejpam-3455	121	21	laplace	laplace	NOUN
ejpam-3455	121	22	transform	transform	NOUN
ejpam-3455	121	23	,	,	PUNCT
ejpam-3455	121	24	we	we	PRON
ejpam-3455	121	25	have	have	VERB
ejpam-3455	121	26	u(y	u(y	PROPN
ejpam-3455	121	27	,	,	PUNCT
ejpam-3455	121	28	t	t	PROPN
ejpam-3455	121	29	)	)	PUNCT
ejpam-3455	121	30	=	=	SYM
ejpam-3455	121	31	u	u	NOUN
ejpam-3455	121	32	sin(ωt	sin(ωt	NOUN
ejpam-3455	121	33	)	)	PUNCT
ejpam-3455	122	1	+	+	CCONJ
ejpam-3455	122	2	uω	uω	ADV
ejpam-3455	122	3	∞∑	∞∑	NUM
ejpam-3455	122	4	i=1	i=1	PRON
ejpam-3455	122	5	(	(	PUNCT
ejpam-3455	122	6	−1)i	−1)i	X
ejpam-3455	122	7	∞∑	∞∑	NUM
ejpam-3455	122	8	j=0	j=0	PROPN
ejpam-3455	122	9	1	1	NUM
ejpam-3455	122	10	j	j	NOUN
ejpam-3455	122	11	!	!	PUNCT
ejpam-3455	123	1	(	(	PUNCT
ejpam-3455	123	2	θ1√	θ1√	NOUN
ejpam-3455	123	3	ν	ν	NOUN
ejpam-3455	123	4	)	)	PUNCT
ejpam-3455	123	5	i−j	i−j	PROPN
ejpam-3455	123	6	(	(	PUNCT
ejpam-3455	123	7	−θ2	−θ2	PROPN
ejpam-3455	123	8	ν	ν	PROPN
ejpam-3455	123	9	)	)	PUNCT
ejpam-3455	124	1	j	j	PROPN
ejpam-3455	124	2	∞∑	∞∑	NUM
ejpam-3455	124	3	l=0	l=0	PROPN
ejpam-3455	124	4	(	(	PUNCT
ejpam-3455	124	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	124	6	l	l	NOUN
ejpam-3455	124	7	!	!	PUNCT
ejpam-3455	125	1	∞∑	∞∑	ADJ
ejpam-3455	125	2	m=0	m=0	PROPN
ejpam-3455	125	3	(	(	PUNCT
ejpam-3455	125	4	−m)m	−m)m	NOUN
ejpam-3455	125	5	m	m	VERB
ejpam-3455	125	6	!	!	PUNCT
ejpam-3455	126	1	∞∑	∞∑	ADJ
ejpam-3455	126	2	n=0	n=0	NUM
ejpam-3455	126	3	(	(	PUNCT
ejpam-3455	126	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	126	5	m.	m.	PROPN
ejpam-3455	126	6	jamil	jamil	PROPN
ejpam-3455	126	7	,	,	PUNCT
ejpam-3455	126	8	i.	i.	PROPN
ejpam-3455	126	9	ahmed	ahmed	PROPN
ejpam-3455	126	10	/	/	PUNCT
ejpam-3455	126	11	eur	eur	PROPN
ejpam-3455	126	12	.	.	PUNCT
ejpam-3455	127	1	j.	j.	PROPN
ejpam-3455	127	2	pure	pure	PROPN
ejpam-3455	127	3	appl	appl	PROPN
ejpam-3455	127	4	.	.	PROPN
ejpam-3455	127	5	math	math	PROPN
ejpam-3455	127	6	,	,	PUNCT
ejpam-3455	127	7	12	12	NUM
ejpam-3455	127	8	(	(	PUNCT
ejpam-3455	127	9	3	3	NUM
ejpam-3455	127	10	)	)	PUNCT
ejpam-3455	127	11	(	(	PUNCT
ejpam-3455	127	12	2019	2019	NUM
ejpam-3455	127	13	)	)	PUNCT
ejpam-3455	127	14	,	,	PUNCT
ejpam-3455	127	15	1018	1018	NUM
ejpam-3455	127	16	-	-	SYM
ejpam-3455	127	17	1051	1051	NUM
ejpam-3455	127	18	1025	1025	NUM
ejpam-3455	127	19	×λα	×λα	PROPN
ejpam-3455	127	20	(	(	PUNCT
ejpam-3455	127	21	i+j	i+j	NUM
ejpam-3455	127	22	2	2	NUM
ejpam-3455	127	23	−l)t−(1+α	−l)t−(1+α	NUM
ejpam-3455	127	24	)	)	PUNCT
ejpam-3455	127	25	(	(	PUNCT
ejpam-3455	127	26	i+j	i+j	NUM
ejpam-3455	127	27	2	2	NUM
ejpam-3455	127	28	−l)+m+2n+1	−l)+m+2n+1	NUM
ejpam-3455	127	29	×	×	NOUN
ejpam-3455	127	30	∞∑	∞∑	PROPN
ejpam-3455	127	31	p=0	p=0	PROPN
ejpam-3455	127	32	(	(	PUNCT
ejpam-3455	127	33	−	−	PROPN
ejpam-3455	127	34	tα	tα	PROPN
ejpam-3455	127	35	λα	λα	PROPN
ejpam-3455	127	36	)	)	PUNCT
ejpam-3455	127	37	pγ(j	pγ(j	X
ejpam-3455	128	1	−	−	NOUN
ejpam-3455	128	2	i)γ(l	i)γ(l	ADJ
ejpam-3455	128	3	−	−	PROPN
ejpam-3455	128	4	i+j	i+j	NUM
ejpam-3455	128	5	2	2	NUM
ejpam-3455	128	6	)	)	PUNCT
ejpam-3455	128	7	γ(m−	γ(m−	PROPN
ejpam-3455	128	8	i+j	i+j	NUM
ejpam-3455	128	9	2	2	NUM
ejpam-3455	128	10	+	+	CCONJ
ejpam-3455	128	11	l)γ(p−	l)γ(p−	NOUN
ejpam-3455	128	12	i+j	i+j	NUM
ejpam-3455	128	13	2	2	NUM
ejpam-3455	128	14	+	+	NUM
ejpam-3455	128	15	l	l	NOUN
ejpam-3455	128	16	)	)	PUNCT
ejpam-3455	128	17	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	128	18	i+j	i+j	NUM
ejpam-3455	128	19	2	2	NUM
ejpam-3455	128	20	)	)	PUNCT
ejpam-3455	128	21	γ(−	γ(−	NOUN
ejpam-3455	128	22	i+j	i+j	NUM
ejpam-3455	129	1	2	2	NUM
ejpam-3455	129	2	+	+	CCONJ
ejpam-3455	129	3	l)γ(−	l)γ(−	X
ejpam-3455	129	4	i+j	i+j	NUM
ejpam-3455	129	5	2	2	NUM
ejpam-3455	129	6	+	+	CCONJ
ejpam-3455	129	7	l)γ(αp−	l)γ(αp−	PUNCT
ejpam-3455	129	8	(	(	PUNCT
ejpam-3455	129	9	1	1	NUM
ejpam-3455	129	10	+	+	NUM
ejpam-3455	129	11	α	α	X
ejpam-3455	129	12	)	)	PUNCT
ejpam-3455	129	13	(	(	PUNCT
ejpam-3455	129	14	i+j2	i+j2	NOUN
ejpam-3455	129	15	−	−	PROPN
ejpam-3455	129	16	l	l	NOUN
ejpam-3455	129	17	)	)	PUNCT
ejpam-3455	130	1	+	+	NOUN
ejpam-3455	130	2	m+	m+	NUM
ejpam-3455	130	3	2n+	2n+	NUM
ejpam-3455	130	4	2	2	NUM
ejpam-3455	130	5	)	)	PUNCT
ejpam-3455	131	1	+	+	ADP
ejpam-3455	131	2	uω	uω	ADP
ejpam-3455	131	3	∞∑	∞∑	PROPN
ejpam-3455	131	4	i=0	i=0	ADJ
ejpam-3455	131	5	(	(	PUNCT
ejpam-3455	131	6	−1)i	−1)i	X
ejpam-3455	131	7	∞∑	∞∑	NUM
ejpam-3455	131	8	j=0	j=0	PROPN
ejpam-3455	131	9	1	1	NUM
ejpam-3455	131	10	j	j	NOUN
ejpam-3455	131	11	!	!	PUNCT
ejpam-3455	132	1	(	(	PUNCT
ejpam-3455	132	2	θ1√	θ1√	NOUN
ejpam-3455	132	3	ν	ν	NOUN
ejpam-3455	132	4	)	)	PUNCT
ejpam-3455	132	5	i−j	i−j	PROPN
ejpam-3455	132	6	(	(	PUNCT
ejpam-3455	132	7	−θ2	−θ2	PROPN
ejpam-3455	132	8	ν	ν	PROPN
ejpam-3455	132	9	)	)	PUNCT
ejpam-3455	133	1	j	j	PROPN
ejpam-3455	134	1	∞∑	∞∑	NUM
ejpam-3455	134	2	k=1	k=1	PROPN
ejpam-3455	134	3	1	1	NUM
ejpam-3455	134	4	k	k	NOUN
ejpam-3455	134	5	!	!	PUNCT
ejpam-3455	135	1	(	(	PUNCT
ejpam-3455	135	2	−	−	PROPN
ejpam-3455	135	3	y√	y√	NOUN
ejpam-3455	135	4	ν	ν	NOUN
ejpam-3455	135	5	)	)	PUNCT
ejpam-3455	136	1	k	k	PROPN
ejpam-3455	136	2	∞∑	∞∑	NUM
ejpam-3455	136	3	l=0	l=0	PROPN
ejpam-3455	136	4	(	(	PUNCT
ejpam-3455	136	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	136	6	l	l	NOUN
ejpam-3455	136	7	!	!	PUNCT
ejpam-3455	137	1	∞∑	∞∑	ADJ
ejpam-3455	137	2	m=0	m=0	PROPN
ejpam-3455	137	3	(	(	PUNCT
ejpam-3455	137	4	−m)m	−m)m	NOUN
ejpam-3455	137	5	m	m	VERB
ejpam-3455	137	6	!	!	PUNCT
ejpam-3455	138	1	∞∑	∞∑	ADJ
ejpam-3455	138	2	n=0	n=0	NUM
ejpam-3455	138	3	(	(	PUNCT
ejpam-3455	138	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	138	5	×λα	×λα	PROPN
ejpam-3455	138	6	(	(	PUNCT
ejpam-3455	138	7	i+j+k	i+j+k	NOUN
ejpam-3455	138	8	2	2	NUM
ejpam-3455	138	9	−l)t−(1+α	−l)t−(1+α	NUM
ejpam-3455	138	10	)	)	PUNCT
ejpam-3455	138	11	(	(	PUNCT
ejpam-3455	138	12	i+j+k	i+j+k	NOUN
ejpam-3455	138	13	2	2	NUM
ejpam-3455	138	14	−l)+m+2n+1	−l)+m+2n+1	NUM
ejpam-3455	138	15	×	×	NOUN
ejpam-3455	138	16	∞∑	∞∑	PROPN
ejpam-3455	138	17	p=0	p=0	PROPN
ejpam-3455	138	18	(	(	PUNCT
ejpam-3455	138	19	−	−	PROPN
ejpam-3455	138	20	tα	tα	PROPN
ejpam-3455	138	21	λα	λα	PROPN
ejpam-3455	138	22	)	)	PUNCT
ejpam-3455	138	23	pγ(j	pγ(j	PART
ejpam-3455	138	24	−	−	NOUN
ejpam-3455	139	1	i)γ(l	i)γ(l	ADJ
ejpam-3455	139	2	−	−	PROPN
ejpam-3455	139	3	i+j+k	i+j+k	NOUN
ejpam-3455	139	4	2	2	NUM
ejpam-3455	139	5	)	)	PUNCT
ejpam-3455	139	6	γ(m−	γ(m−	PROPN
ejpam-3455	139	7	i+j+k	i+j+k	NOUN
ejpam-3455	139	8	2	2	NUM
ejpam-3455	139	9	+	+	CCONJ
ejpam-3455	139	10	l)γ(p−	l)γ(p−	NOUN
ejpam-3455	139	11	i+j+k	i+j+k	NOUN
ejpam-3455	139	12	2	2	NUM
ejpam-3455	139	13	+	+	NUM
ejpam-3455	139	14	l	l	NOUN
ejpam-3455	139	15	)	)	PUNCT
ejpam-3455	139	16	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	139	17	i+j+k	i+j+k	NOUN
ejpam-3455	139	18	2	2	NUM
ejpam-3455	139	19	)	)	PUNCT
ejpam-3455	139	20	γ(−	γ(−	NOUN
ejpam-3455	139	21	i+j+k	i+j+k	NOUN
ejpam-3455	139	22	2	2	NUM
ejpam-3455	140	1	+	+	CCONJ
ejpam-3455	140	2	l)γ(−	l)γ(−	NOUN
ejpam-3455	140	3	i+j+k	i+j+k	NOUN
ejpam-3455	140	4	2	2	NUM
ejpam-3455	140	5	+	+	NUM
ejpam-3455	140	6	l)γ	l)γ	NOUN
ejpam-3455	140	7	(	(	PUNCT
ejpam-3455	140	8	αp−	αp−	NUM
ejpam-3455	140	9	(	(	PUNCT
ejpam-3455	140	10	1	1	NUM
ejpam-3455	140	11	+	+	NUM
ejpam-3455	140	12	α	α	X
ejpam-3455	140	13	)	)	PUNCT
ejpam-3455	140	14	(	(	PUNCT
ejpam-3455	140	15	i+j+k2	i+j+k2	NOUN
ejpam-3455	140	16	−	−	PROPN
ejpam-3455	141	1	l	l	NOUN
ejpam-3455	142	1	)	)	PUNCT
ejpam-3455	143	1	+	+	NOUN
ejpam-3455	143	2	m+	m+	NOUN
ejpam-3455	143	3	2n+	2n+	NUM
ejpam-3455	143	4	2	2	NUM
ejpam-3455	143	5	)	)	PUNCT
ejpam-3455	143	6	.(16	.(16	PUNCT
ejpam-3455	143	7	)	)	PUNCT
ejpam-3455	143	8	rewriting	rewrite	VERB
ejpam-3455	143	9	the	the	DET
ejpam-3455	143	10	above	above	ADJ
ejpam-3455	143	11	velocity	velocity	NOUN
ejpam-3455	143	12	expression	expression	NOUN
ejpam-3455	143	13	in	in	ADP
ejpam-3455	143	14	terms	term	NOUN
ejpam-3455	143	15	of	of	ADP
ejpam-3455	143	16	generalized	generalized	ADJ
ejpam-3455	143	17	m	m	NOUN
ejpam-3455	143	18	-	-	PUNCT
ejpam-3455	143	19	function	function	NOUN
ejpam-3455	143	20	corresponding	corresponding	NOUN
ejpam-3455	143	21	to	to	PART
ejpam-3455	143	22	sine	sine	VERB
ejpam-3455	143	23	oscillations	oscillation	NOUN
ejpam-3455	143	24	us(y	us(y	PROPN
ejpam-3455	143	25	,	,	PUNCT
ejpam-3455	143	26	t	t	PROPN
ejpam-3455	143	27	)	)	PUNCT
ejpam-3455	143	28	=	=	SYM
ejpam-3455	143	29	u	u	NOUN
ejpam-3455	143	30	sin(ωt	sin(ωt	NOUN
ejpam-3455	143	31	)	)	PUNCT
ejpam-3455	144	1	+	+	CCONJ
ejpam-3455	144	2	uω	uω	ADV
ejpam-3455	144	3	∞∑	∞∑	NUM
ejpam-3455	144	4	i=1	i=1	PRON
ejpam-3455	144	5	(	(	PUNCT
ejpam-3455	144	6	−1)i	−1)i	X
ejpam-3455	144	7	∞∑	∞∑	NUM
ejpam-3455	144	8	j=0	j=0	PROPN
ejpam-3455	144	9	1	1	NUM
ejpam-3455	144	10	j	j	NOUN
ejpam-3455	144	11	!	!	PUNCT
ejpam-3455	145	1	(	(	PUNCT
ejpam-3455	145	2	θ1√	θ1√	NOUN
ejpam-3455	145	3	ν	ν	NOUN
ejpam-3455	145	4	)	)	PUNCT
ejpam-3455	145	5	i−j	i−j	PROPN
ejpam-3455	145	6	(	(	PUNCT
ejpam-3455	145	7	−θ2	−θ2	PROPN
ejpam-3455	145	8	ν	ν	PROPN
ejpam-3455	145	9	)	)	PUNCT
ejpam-3455	146	1	j	j	PROPN
ejpam-3455	146	2	∞∑	∞∑	NUM
ejpam-3455	146	3	l=0	l=0	PROPN
ejpam-3455	146	4	(	(	PUNCT
ejpam-3455	146	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	146	6	l	l	NOUN
ejpam-3455	146	7	!	!	PUNCT
ejpam-3455	147	1	∞∑	∞∑	ADJ
ejpam-3455	147	2	m=0	m=0	PROPN
ejpam-3455	147	3	(	(	PUNCT
ejpam-3455	147	4	−m)m	−m)m	NOUN
ejpam-3455	147	5	m	m	VERB
ejpam-3455	147	6	!	!	PUNCT
ejpam-3455	148	1	∞∑	∞∑	ADJ
ejpam-3455	148	2	n=0	n=0	NUM
ejpam-3455	148	3	(	(	PUNCT
ejpam-3455	148	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	148	5	×λα	×λα	PROPN
ejpam-3455	148	6	(	(	PUNCT
ejpam-3455	148	7	i+j	i+j	NUM
ejpam-3455	148	8	2	2	NUM
ejpam-3455	148	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	148	10	4,6	4,6	NUM
ejpam-3455	148	11	[	[	PUNCT
ejpam-3455	148	12	tα	tα	PROPN
ejpam-3455	148	13	λα	λα	PROPN
ejpam-3455	148	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	148	15	+	+	CCONJ
ejpam-3455	148	16	i+j	i+j	NUM
ejpam-3455	148	17	2	2	NUM
ejpam-3455	148	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	148	19	+	+	NOUN
ejpam-3455	148	20	i+j	i+j	NUM
ejpam-3455	148	21	2	2	NUM
ejpam-3455	148	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	148	23	+	+	CCONJ
ejpam-3455	148	24	i+j	i+j	NUM
ejpam-3455	148	25	2	2	NUM
ejpam-3455	148	26	−l,1	−l,1	PROPN
ejpam-3455	148	27	)	)	PUNCT
ejpam-3455	148	28	(	(	PUNCT
ejpam-3455	148	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	148	30	+	+	CCONJ
ejpam-3455	148	31	i+j	i+j	NUM
ejpam-3455	148	32	2	2	NUM
ejpam-3455	148	33	,	,	PUNCT
ejpam-3455	148	34	0),(1	0),(1	PROPN
ejpam-3455	148	35	+	+	CCONJ
ejpam-3455	148	36	i+j	i+j	NUM
ejpam-3455	148	37	2	2	NUM
ejpam-3455	148	38	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	148	39	+	+	NUM
ejpam-3455	148	40	i+j	i+j	NUM
ejpam-3455	148	41	2	2	NUM
ejpam-3455	148	42	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	148	43	)	)	PUNCT
ejpam-3455	148	44	(	(	PUNCT
ejpam-3455	148	45	i+j2	i+j2	NOUN
ejpam-3455	148	46	−l)−m−2n−1,α	−l)−m−2n−1,α	NOUN
ejpam-3455	148	47	)	)	PUNCT
ejpam-3455	148	48	]	]	PUNCT
ejpam-3455	149	1	+	+	ADP
ejpam-3455	149	2	uω	uω	ADV
ejpam-3455	149	3	∞∑	∞∑	PROPN
ejpam-3455	149	4	i=0	i=0	ADJ
ejpam-3455	149	5	(	(	PUNCT
ejpam-3455	149	6	−1)i	−1)i	X
ejpam-3455	149	7	∞∑	∞∑	NUM
ejpam-3455	149	8	j=0	j=0	PROPN
ejpam-3455	149	9	1	1	NUM
ejpam-3455	149	10	j	j	NOUN
ejpam-3455	149	11	!	!	PUNCT
ejpam-3455	150	1	(	(	PUNCT
ejpam-3455	150	2	θ1√	θ1√	NOUN
ejpam-3455	150	3	ν	ν	NOUN
ejpam-3455	150	4	)	)	PUNCT
ejpam-3455	150	5	i−j	i−j	PROPN
ejpam-3455	150	6	(	(	PUNCT
ejpam-3455	150	7	−θ2	−θ2	PROPN
ejpam-3455	150	8	ν	ν	PROPN
ejpam-3455	150	9	)	)	PUNCT
ejpam-3455	151	1	j	j	PROPN
ejpam-3455	152	1	∞∑	∞∑	NUM
ejpam-3455	152	2	k=1	k=1	PROPN
ejpam-3455	152	3	1	1	NUM
ejpam-3455	152	4	k	k	NOUN
ejpam-3455	152	5	!	!	PUNCT
ejpam-3455	153	1	(	(	PUNCT
ejpam-3455	153	2	−	−	PROPN
ejpam-3455	153	3	y√	y√	NOUN
ejpam-3455	153	4	ν	ν	NOUN
ejpam-3455	153	5	)	)	PUNCT
ejpam-3455	154	1	k	k	PROPN
ejpam-3455	154	2	∞∑	∞∑	NUM
ejpam-3455	154	3	l=0	l=0	PROPN
ejpam-3455	154	4	(	(	PUNCT
ejpam-3455	154	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	154	6	l	l	NOUN
ejpam-3455	154	7	!	!	PUNCT
ejpam-3455	155	1	∞∑	∞∑	ADJ
ejpam-3455	155	2	m=0	m=0	PROPN
ejpam-3455	155	3	(	(	PUNCT
ejpam-3455	155	4	−m)m	−m)m	NOUN
ejpam-3455	155	5	m	m	VERB
ejpam-3455	155	6	!	!	PUNCT
ejpam-3455	156	1	∞∑	∞∑	ADJ
ejpam-3455	156	2	n=0	n=0	NUM
ejpam-3455	156	3	(	(	PUNCT
ejpam-3455	156	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	156	5	×λα	×λα	PROPN
ejpam-3455	156	6	(	(	PUNCT
ejpam-3455	156	7	i+j+k	i+j+k	NOUN
ejpam-3455	156	8	2	2	NUM
ejpam-3455	156	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	156	10	4,6	4,6	NUM
ejpam-3455	156	11	[	[	PUNCT
ejpam-3455	156	12	tα	tα	PROPN
ejpam-3455	156	13	λα	λα	PROPN
ejpam-3455	156	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	156	15	+	+	PROPN
ejpam-3455	156	16	i+j+k	i+j+k	NOUN
ejpam-3455	156	17	2	2	NUM
ejpam-3455	156	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	156	19	+	+	NOUN
ejpam-3455	156	20	i+j+k	i+j+k	NOUN
ejpam-3455	156	21	2	2	NUM
ejpam-3455	156	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	156	23	+	+	NUM
ejpam-3455	156	24	i+j+k	i+j+k	NOUN
ejpam-3455	156	25	2	2	NUM
ejpam-3455	156	26	−l,1	−l,1	PROPN
ejpam-3455	156	27	)	)	PUNCT
ejpam-3455	156	28	(	(	PUNCT
ejpam-3455	156	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	156	30	+	+	CCONJ
ejpam-3455	156	31	i+j+k	i+j+k	NOUN
ejpam-3455	156	32	2	2	NUM
ejpam-3455	156	33	,	,	PUNCT
ejpam-3455	156	34	0),(1	0),(1	PROPN
ejpam-3455	157	1	+	+	NOUN
ejpam-3455	157	2	i+j+k	i+j+k	NOUN
ejpam-3455	157	3	2	2	NUM
ejpam-3455	157	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	157	5	+	+	NOUN
ejpam-3455	157	6	i+j+k	i+j+k	NOUN
ejpam-3455	157	7	2	2	NUM
ejpam-3455	157	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	157	9	)	)	PUNCT
ejpam-3455	157	10	(	(	PUNCT
ejpam-3455	157	11	i+j+k2	i+j+k2	NOUN
ejpam-3455	157	12	−l)−m−2n−1,α	−l)−m−2n−1,α	NOUN
ejpam-3455	157	13	)	)	PUNCT
ejpam-3455	157	14	]	]	PUNCT
ejpam-3455	157	15	,	,	PUNCT
ejpam-3455	157	16	(	(	PUNCT
ejpam-3455	157	17	17	17	NUM
ejpam-3455	157	18	)	)	PUNCT
ejpam-3455	157	19	where	where	SCONJ
ejpam-3455	157	20	the	the	DET
ejpam-3455	157	21	new	new	ADJ
ejpam-3455	157	22	generalized	generalized	ADJ
ejpam-3455	157	23	m	m	NOUN
ejpam-3455	157	24	-	-	NOUN
ejpam-3455	157	25	function	function	NOUN
ejpam-3455	157	26	together	together	ADP
ejpam-3455	157	27	property	property	NOUN
ejpam-3455	157	28	of	of	ADP
ejpam-3455	157	29	the	the	DET
ejpam-3455	157	30	fox	fox	PROPN
ejpam-3455	157	31	h	h	NOUN
ejpam-3455	157	32	-	-	PUNCT
ejpam-3455	157	33	function	function	NOUN
ejpam-3455	157	34	[	[	X
ejpam-3455	157	35	2	2	NUM
ejpam-3455	157	36	]	]	PUNCT
ejpam-3455	157	37	is	be	AUX
ejpam-3455	157	38	defined	define	VERB
ejpam-3455	157	39	by	by	ADP
ejpam-3455	157	40	m1,k	m1,k	PROPN
ejpam-3455	157	41	k	k	PROPN
ejpam-3455	157	42	,	,	PUNCT
ejpam-3455	157	43	n+1	n+1	PROPN
ejpam-3455	157	44	[	[	PUNCT
ejpam-3455	157	45	z	z	X
ejpam-3455	157	46	∣∣∣∣(1−a1,a1),	∣∣∣∣(1−a1,a1),	PROPN
ejpam-3455	157	47	...	...	PUNCT
ejpam-3455	157	48	(1−ak	(1−ak	NUM
ejpam-3455	157	49	,	,	PUNCT
ejpam-3455	157	50	ak	ak	PROPN
ejpam-3455	157	51	)	)	PUNCT
ejpam-3455	157	52	(	(	PUNCT
ejpam-3455	157	53	0,1),(1−b1,b1),	0,1),(1−b1,b1),	PROPN
ejpam-3455	157	54	...	...	PUNCT
ejpam-3455	157	55	(1−bn	(1−bn	NUM
ejpam-3455	157	56	,	,	PUNCT
ejpam-3455	157	57	bn	bn	NOUN
ejpam-3455	157	58	)	)	PUNCT
ejpam-3455	157	59	]	]	PUNCT
ejpam-3455	158	1	=	=	PUNCT
ejpam-3455	158	2	tbn−1h1,k	tbn−1h1,k	X
ejpam-3455	159	1	k	k	NOUN
ejpam-3455	159	2	,	,	PUNCT
ejpam-3455	159	3	n+1	n+1	PROPN
ejpam-3455	159	4	[	[	PUNCT
ejpam-3455	159	5	z	z	X
ejpam-3455	159	6	∣∣∣∣(1−a1,a1),	∣∣∣∣(1−a1,a1),	PROPN
ejpam-3455	159	7	...	...	PUNCT
ejpam-3455	159	8	(1−ak	(1−ak	NUM
ejpam-3455	159	9	,	,	PUNCT
ejpam-3455	159	10	ak	ak	PROPN
ejpam-3455	159	11	)	)	PUNCT
ejpam-3455	159	12	(	(	PUNCT
ejpam-3455	159	13	0,1),(1−b1,b1),	0,1),(1−b1,b1),	PROPN
ejpam-3455	159	14	...	...	PUNCT
ejpam-3455	159	15	(1−bn	(1−bn	NUM
ejpam-3455	159	16	,	,	PUNCT
ejpam-3455	159	17	bn	bn	NOUN
ejpam-3455	159	18	)	)	PUNCT
ejpam-3455	159	19	]	]	PUNCT
ejpam-3455	159	20	m.	m.	PROPN
ejpam-3455	159	21	jamil	jamil	PROPN
ejpam-3455	159	22	,	,	PUNCT
ejpam-3455	159	23	i.	i.	PROPN
ejpam-3455	159	24	ahmed	ahmed	PROPN
ejpam-3455	159	25	/	/	PUNCT
ejpam-3455	159	26	eur	eur	PROPN
ejpam-3455	159	27	.	.	PUNCT
ejpam-3455	160	1	j.	j.	PROPN
ejpam-3455	160	2	pure	pure	PROPN
ejpam-3455	160	3	appl	appl	PROPN
ejpam-3455	160	4	.	.	PROPN
ejpam-3455	160	5	math	math	PROPN
ejpam-3455	160	6	,	,	PUNCT
ejpam-3455	160	7	12	12	NUM
ejpam-3455	160	8	(	(	PUNCT
ejpam-3455	160	9	3	3	NUM
ejpam-3455	160	10	)	)	PUNCT
ejpam-3455	160	11	(	(	PUNCT
ejpam-3455	160	12	2019	2019	NUM
ejpam-3455	160	13	)	)	PUNCT
ejpam-3455	160	14	,	,	PUNCT
ejpam-3455	160	15	1018	1018	NUM
ejpam-3455	160	16	-	-	SYM
ejpam-3455	160	17	1051	1051	NUM
ejpam-3455	160	18	1026	1026	NUM
ejpam-3455	160	19	=	=	SYM
ejpam-3455	161	1	tbn−1	tbn−1	PROPN
ejpam-3455	161	2	∞∑	∞∑	NUM
ejpam-3455	161	3	p=0	p=0	PROPN
ejpam-3455	161	4	(	(	PUNCT
ejpam-3455	161	5	−z)p	−z)p	NOUN
ejpam-3455	161	6	∏k	∏k	X
ejpam-3455	161	7	j=1	j=1	X
ejpam-3455	162	1	γ(aj	γ(aj	ADP
ejpam-3455	162	2	+	+	ADJ
ejpam-3455	162	3	ajp	ajp	PROPN
ejpam-3455	162	4	)	)	PUNCT
ejpam-3455	162	5	p	p	X
ejpam-3455	162	6	!	!	PUNCT
ejpam-3455	163	1	∏n	∏n	ADJ
ejpam-3455	163	2	j=1	j=1	ADJ
ejpam-3455	163	3	γ(bj	γ(bj	PROPN
ejpam-3455	163	4	+	+	PROPN
ejpam-3455	163	5	bjp	bjp	NOUN
ejpam-3455	163	6	)	)	PUNCT
ejpam-3455	163	7	.	.	PUNCT
ejpam-3455	164	1	(	(	PUNCT
ejpam-3455	164	2	18	18	NUM
ejpam-3455	164	3	)	)	PUNCT
ejpam-3455	164	4	similarly	similarly	ADV
ejpam-3455	164	5	,	,	PUNCT
ejpam-3455	164	6	the	the	DET
ejpam-3455	164	7	velocity	velocity	NOUN
ejpam-3455	164	8	field	field	NOUN
ejpam-3455	164	9	for	for	ADP
ejpam-3455	164	10	cosine	cosine	NOUN
ejpam-3455	164	11	oscillations	oscillation	NOUN
ejpam-3455	164	12	is	be	AUX
ejpam-3455	164	13	uc(y	uc(y	ADJ
ejpam-3455	164	14	,	,	PUNCT
ejpam-3455	164	15	t	t	PROPN
ejpam-3455	164	16	)	)	PUNCT
ejpam-3455	164	17	=	=	SYM
ejpam-3455	164	18	uh(t	uh(t	X
ejpam-3455	164	19	)	)	PUNCT
ejpam-3455	164	20	cos(ωt	cos(ωt	PRON
ejpam-3455	164	21	)	)	PUNCT
ejpam-3455	164	22	+	+	NOUN
ejpam-3455	164	23	uh(t	uh(t	X
ejpam-3455	164	24	)	)	PUNCT
ejpam-3455	164	25	∞∑	∞∑	NUM
ejpam-3455	164	26	i=1	i=1	X
ejpam-3455	164	27	(	(	PUNCT
ejpam-3455	164	28	−1)i	−1)i	X
ejpam-3455	164	29	∞∑	∞∑	NUM
ejpam-3455	164	30	j=0	j=0	PROPN
ejpam-3455	164	31	1	1	NUM
ejpam-3455	164	32	j	j	NOUN
ejpam-3455	164	33	!	!	PUNCT
ejpam-3455	165	1	(	(	PUNCT
ejpam-3455	165	2	θ1√	θ1√	NOUN
ejpam-3455	165	3	ν	ν	NOUN
ejpam-3455	165	4	)	)	PUNCT
ejpam-3455	165	5	i−j	i−j	PROPN
ejpam-3455	165	6	(	(	PUNCT
ejpam-3455	165	7	−θ2	−θ2	PROPN
ejpam-3455	165	8	ν	ν	PROPN
ejpam-3455	165	9	)	)	PUNCT
ejpam-3455	166	1	j	j	PROPN
ejpam-3455	166	2	∞∑	∞∑	NUM
ejpam-3455	166	3	l=0	l=0	PROPN
ejpam-3455	166	4	(	(	PUNCT
ejpam-3455	166	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	166	6	l	l	NOUN
ejpam-3455	166	7	!	!	PUNCT
ejpam-3455	167	1	∞∑	∞∑	ADJ
ejpam-3455	167	2	m=0	m=0	PROPN
ejpam-3455	167	3	(	(	PUNCT
ejpam-3455	167	4	−m)m	−m)m	PROPN
ejpam-3455	167	5	m	m	VERB
ejpam-3455	167	6	!	!	PUNCT
ejpam-3455	168	1	×	×	NOUN
ejpam-3455	168	2	∞∑	∞∑	ADJ
ejpam-3455	168	3	n=0	n=0	NUM
ejpam-3455	168	4	(	(	PUNCT
ejpam-3455	168	5	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	168	6	(	(	PUNCT
ejpam-3455	168	7	i+j	i+j	NUM
ejpam-3455	168	8	2	2	NUM
ejpam-3455	168	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	168	10	4,6	4,6	NUM
ejpam-3455	168	11	[	[	PUNCT
ejpam-3455	168	12	tα	tα	PROPN
ejpam-3455	168	13	λα	λα	PROPN
ejpam-3455	168	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	168	15	+	+	CCONJ
ejpam-3455	168	16	i+j	i+j	NUM
ejpam-3455	168	17	2	2	NUM
ejpam-3455	168	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	168	19	+	+	NOUN
ejpam-3455	168	20	i+j	i+j	NUM
ejpam-3455	168	21	2	2	NUM
ejpam-3455	168	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	168	23	+	+	CCONJ
ejpam-3455	168	24	i+j	i+j	NUM
ejpam-3455	168	25	2	2	NUM
ejpam-3455	168	26	−l,1	−l,1	PROPN
ejpam-3455	168	27	)	)	PUNCT
ejpam-3455	168	28	(	(	PUNCT
ejpam-3455	168	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	168	30	+	+	CCONJ
ejpam-3455	168	31	i+j	i+j	NUM
ejpam-3455	168	32	2	2	NUM
ejpam-3455	168	33	,	,	PUNCT
ejpam-3455	168	34	0),(1	0),(1	PROPN
ejpam-3455	169	1	+	+	CCONJ
ejpam-3455	169	2	i+j	i+j	NUM
ejpam-3455	169	3	2	2	NUM
ejpam-3455	169	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	169	5	+	+	NUM
ejpam-3455	169	6	i+j	i+j	NUM
ejpam-3455	169	7	2	2	NUM
ejpam-3455	169	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	169	9	)	)	PUNCT
ejpam-3455	169	10	(	(	PUNCT
ejpam-3455	169	11	i+j2	i+j2	NOUN
ejpam-3455	169	12	−l)−m−2n	−l)−m−2n	PROPN
ejpam-3455	169	13	,	,	PUNCT
ejpam-3455	169	14	α	α	NOUN
ejpam-3455	169	15	)	)	PUNCT
ejpam-3455	169	16	]	]	PUNCT
ejpam-3455	170	1	+	+	X
ejpam-3455	170	2	uh(t	uh(t	X
ejpam-3455	170	3	)	)	PUNCT
ejpam-3455	170	4	∞∑	∞∑	PROPN
ejpam-3455	170	5	i=0	i=0	PROPN
ejpam-3455	170	6	(	(	PUNCT
ejpam-3455	170	7	−1)i	−1)i	X
ejpam-3455	170	8	∞∑	∞∑	NUM
ejpam-3455	170	9	j=0	j=0	PROPN
ejpam-3455	170	10	1	1	NUM
ejpam-3455	170	11	j	j	NOUN
ejpam-3455	170	12	!	!	PUNCT
ejpam-3455	170	13	(	(	PUNCT
ejpam-3455	170	14	θ1√	θ1√	NOUN
ejpam-3455	170	15	ν	ν	NOUN
ejpam-3455	170	16	)	)	PUNCT
ejpam-3455	170	17	i−j	i−j	PROPN
ejpam-3455	170	18	(	(	PUNCT
ejpam-3455	170	19	−θ2	−θ2	PROPN
ejpam-3455	170	20	ν	ν	PROPN
ejpam-3455	170	21	)	)	PUNCT
ejpam-3455	170	22	j	j	PROPN
ejpam-3455	171	1	∞∑	∞∑	NUM
ejpam-3455	171	2	k=1	k=1	PROPN
ejpam-3455	171	3	1	1	NUM
ejpam-3455	171	4	k	k	NOUN
ejpam-3455	171	5	!	!	PUNCT
ejpam-3455	172	1	(	(	PUNCT
ejpam-3455	172	2	−	−	PROPN
ejpam-3455	172	3	y√	y√	NOUN
ejpam-3455	172	4	ν	ν	NOUN
ejpam-3455	172	5	)	)	PUNCT
ejpam-3455	173	1	k	k	PROPN
ejpam-3455	173	2	∞∑	∞∑	NUM
ejpam-3455	173	3	l=0	l=0	PROPN
ejpam-3455	173	4	(	(	PUNCT
ejpam-3455	173	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	173	6	l	l	NOUN
ejpam-3455	173	7	!	!	PUNCT
ejpam-3455	174	1	∞∑	∞∑	ADJ
ejpam-3455	174	2	m=0	m=0	PROPN
ejpam-3455	174	3	(	(	PUNCT
ejpam-3455	174	4	−m)m	−m)m	NOUN
ejpam-3455	174	5	m	m	VERB
ejpam-3455	174	6	!	!	PUNCT
ejpam-3455	175	1	∞∑	∞∑	ADJ
ejpam-3455	175	2	n=0	n=0	NUM
ejpam-3455	175	3	(	(	PUNCT
ejpam-3455	175	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	175	5	×λα	×λα	PROPN
ejpam-3455	175	6	(	(	PUNCT
ejpam-3455	175	7	i+j+k	i+j+k	NOUN
ejpam-3455	175	8	2	2	NUM
ejpam-3455	175	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	175	10	4,6	4,6	NUM
ejpam-3455	175	11	[	[	PUNCT
ejpam-3455	175	12	tα	tα	PROPN
ejpam-3455	175	13	λα	λα	PROPN
ejpam-3455	175	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	175	15	+	+	PROPN
ejpam-3455	175	16	i+j+k	i+j+k	NOUN
ejpam-3455	175	17	2	2	NUM
ejpam-3455	175	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	175	19	+	+	NOUN
ejpam-3455	175	20	i+j+k	i+j+k	NOUN
ejpam-3455	175	21	2	2	NUM
ejpam-3455	175	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	175	23	+	+	NUM
ejpam-3455	175	24	i+j+k	i+j+k	NOUN
ejpam-3455	175	25	2	2	NUM
ejpam-3455	175	26	−l,1	−l,1	PROPN
ejpam-3455	175	27	)	)	PUNCT
ejpam-3455	175	28	(	(	PUNCT
ejpam-3455	175	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	175	30	+	+	CCONJ
ejpam-3455	175	31	i+j+k	i+j+k	NOUN
ejpam-3455	175	32	2	2	NUM
ejpam-3455	175	33	,	,	PUNCT
ejpam-3455	175	34	0),(1	0),(1	PROPN
ejpam-3455	176	1	+	+	NOUN
ejpam-3455	176	2	i+j+k	i+j+k	NOUN
ejpam-3455	176	3	2	2	NUM
ejpam-3455	176	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	176	5	+	+	NOUN
ejpam-3455	176	6	i+j+k	i+j+k	NOUN
ejpam-3455	176	7	2	2	NUM
ejpam-3455	176	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	176	9	)	)	PUNCT
ejpam-3455	176	10	(	(	PUNCT
ejpam-3455	176	11	i+j+k2	i+j+k2	PROPN
ejpam-3455	176	12	−l)−m−2n	−l)−m−2n	PROPN
ejpam-3455	176	13	,	,	PUNCT
ejpam-3455	176	14	α	α	NOUN
ejpam-3455	176	15	)	)	PUNCT
ejpam-3455	176	16	]	]	PUNCT
ejpam-3455	176	17	.(19	.(19	PUNCT
ejpam-3455	176	18	)	)	PUNCT
ejpam-3455	176	19	3.2	3.2	NUM
ejpam-3455	176	20	.	.	PUNCT
ejpam-3455	177	1	calculation	calculation	NOUN
ejpam-3455	177	2	of	of	ADP
ejpam-3455	177	3	the	the	DET
ejpam-3455	177	4	shear	shear	NOUN
ejpam-3455	177	5	stress	stress	NOUN
ejpam-3455	177	6	applying	apply	VERB
ejpam-3455	177	7	the	the	DET
ejpam-3455	177	8	laplace	laplace	NOUN
ejpam-3455	177	9	transform	transform	NOUN
ejpam-3455	177	10	,	,	PUNCT
ejpam-3455	177	11	principle	principle	NOUN
ejpam-3455	177	12	of	of	ADP
ejpam-3455	177	13	sequential	sequential	ADJ
ejpam-3455	177	14	fractional	fractional	ADJ
ejpam-3455	177	15	derivative	derivative	NOUN
ejpam-3455	177	16	to	to	ADP
ejpam-3455	177	17	eq	eq	PROPN
ejpam-3455	177	18	.	.	PUNCT
ejpam-3455	178	1	(	(	PUNCT
ejpam-3455	178	2	5	5	NUM
ejpam-3455	178	3	)	)	PUNCT
ejpam-3455	178	4	and	and	CCONJ
ejpam-3455	178	5	using	use	VERB
ejpam-3455	178	6	the	the	DET
ejpam-3455	178	7	initial	initial	ADJ
ejpam-3455	178	8	conditions	condition	NOUN
ejpam-3455	178	9	(	(	PUNCT
ejpam-3455	178	10	7)3	7)3	NUM
ejpam-3455	178	11	,	,	PUNCT
ejpam-3455	178	12	we	we	PRON
ejpam-3455	178	13	get	get	VERB
ejpam-3455	178	14	τ(y	τ(y	NOUN
ejpam-3455	178	15	,	,	PUNCT
ejpam-3455	178	16	q	q	NOUN
ejpam-3455	178	17	)	)	PUNCT
ejpam-3455	178	18	=	=	SYM
ejpam-3455	178	19	µ	µ	PRON
ejpam-3455	178	20	1	1	NUM
ejpam-3455	178	21	+	+	CCONJ
ejpam-3455	178	22	λαqα	λαqα	ADJ
ejpam-3455	178	23	∂u(y	∂u(y	NOUN
ejpam-3455	178	24	,	,	PUNCT
ejpam-3455	178	25	q	q	NOUN
ejpam-3455	178	26	)	)	PUNCT
ejpam-3455	178	27	∂y	∂y	NOUN
ejpam-3455	178	28	,	,	PUNCT
ejpam-3455	178	29	(	(	PUNCT
ejpam-3455	178	30	20	20	NUM
ejpam-3455	178	31	)	)	PUNCT
ejpam-3455	178	32	where	where	SCONJ
ejpam-3455	178	33	τ(y	τ(y	PROPN
ejpam-3455	178	34	,	,	PUNCT
ejpam-3455	178	35	q	q	NOUN
ejpam-3455	178	36	)	)	PUNCT
ejpam-3455	178	37	is	be	AUX
ejpam-3455	178	38	the	the	DET
ejpam-3455	178	39	laplace	laplace	NOUN
ejpam-3455	178	40	transform	transform	NOUN
ejpam-3455	178	41	of	of	ADP
ejpam-3455	178	42	τ(y	τ(y	PROPN
ejpam-3455	178	43	,	,	PUNCT
ejpam-3455	178	44	t	t	PROPN
ejpam-3455	178	45	)	)	PUNCT
ejpam-3455	178	46	.	.	PUNCT
ejpam-3455	179	1	using	use	VERB
ejpam-3455	179	2	eq	eq	ADP
ejpam-3455	179	3	.	.	PUNCT
ejpam-3455	180	1	(	(	PUNCT
ejpam-3455	180	2	14	14	NUM
ejpam-3455	180	3	)	)	PUNCT
ejpam-3455	180	4	in	in	ADP
ejpam-3455	180	5	the	the	DET
ejpam-3455	180	6	above	above	ADJ
ejpam-3455	180	7	expression	expression	NOUN
ejpam-3455	180	8	,	,	PUNCT
ejpam-3455	180	9	we	we	PRON
ejpam-3455	180	10	have	have	VERB
ejpam-3455	180	11	τ(y	τ(y	NOUN
ejpam-3455	180	12	,	,	PUNCT
ejpam-3455	180	13	q	q	NOUN
ejpam-3455	180	14	)	)	PUNCT
ejpam-3455	180	15	=	=	SYM
ejpam-3455	181	1	−	−	NOUN
ejpam-3455	181	2	uµω	uµω	INTJ
ejpam-3455	181	3	[	[	X
ejpam-3455	181	4	(	(	PUNCT
ejpam-3455	181	5	q	q	X
ejpam-3455	181	6	+	+	NOUN
ejpam-3455	181	7	m)(1	m)(1	PRON
ejpam-3455	181	8	+	+	CCONJ
ejpam-3455	181	9	λαqα	λαqα	ADJ
ejpam-3455	181	10	)	)	PUNCT
ejpam-3455	182	1	+	+	PUNCT
ejpam-3455	183	1	ψ	ψ	X
ejpam-3455	183	2	]	]	SYM
ejpam-3455	183	3	1	1	NUM
ejpam-3455	183	4	2	2	NUM
ejpam-3455	183	5	√	√	PROPN
ejpam-3455	183	6	ν(q2	ν(q2	NOUN
ejpam-3455	183	7	+	+	CCONJ
ejpam-3455	183	8	ω2)(1	ω2)(1	ADJ
ejpam-3455	183	9	+	+	CCONJ
ejpam-3455	183	10	λαqα	λαqα	ADJ
ejpam-3455	183	11	)	)	PUNCT
ejpam-3455	183	12	{	{	PUNCT
ejpam-3455	183	13	1	1	NUM
ejpam-3455	183	14	+	+	NUM
ejpam-3455	183	15	θ1	θ1	NOUN
ejpam-3455	183	16	[	[	PUNCT
ejpam-3455	183	17	(	(	PUNCT
ejpam-3455	183	18	q+m)(1+λαqα)+ψ	q+m)(1+λαqα)+ψ	PROPN
ejpam-3455	183	19	ν	ν	X
ejpam-3455	183	20	]	]	X
ejpam-3455	183	21	1	1	NUM
ejpam-3455	183	22	2	2	NUM
ejpam-3455	183	23	+	+	NUM
ejpam-3455	183	24	θ2	θ2	PROPN
ejpam-3455	183	25	[	[	PUNCT
ejpam-3455	183	26	(	(	PUNCT
ejpam-3455	183	27	q+m)(1+λαqα)+ψ	q+m)(1+λαqα)+ψ	PROPN
ejpam-3455	183	28	ν	ν	X
ejpam-3455	183	29	]	]	PUNCT
ejpam-3455	183	30	}	}	PUNCT
ejpam-3455	183	31	×	×	NOUN
ejpam-3455	183	32	exp	exp	NOUN
ejpam-3455	183	33	{	{	PUNCT
ejpam-3455	183	34	−	−	PROPN
ejpam-3455	183	35	[	[	PUNCT
ejpam-3455	183	36	(	(	PUNCT
ejpam-3455	183	37	q	q	X
ejpam-3455	183	38	+	+	NOUN
ejpam-3455	183	39	m)(1	m)(1	PRON
ejpam-3455	183	40	+	+	CCONJ
ejpam-3455	183	41	λαqα	λαqα	ADJ
ejpam-3455	183	42	)	)	PUNCT
ejpam-3455	183	43	+	+	NUM
ejpam-3455	183	44	ψ	ψ	X
ejpam-3455	183	45	ν	ν	X
ejpam-3455	183	46	]	]	X
ejpam-3455	183	47	1	1	NUM
ejpam-3455	183	48	2	2	NUM
ejpam-3455	183	49	y	y	PROPN
ejpam-3455	183	50	}	}	PUNCT
ejpam-3455	183	51	.	.	PUNCT
ejpam-3455	184	1	(	(	PUNCT
ejpam-3455	184	2	21	21	NUM
ejpam-3455	184	3	)	)	PUNCT
ejpam-3455	184	4	m.	m.	NOUN
ejpam-3455	184	5	jamil	jamil	PROPN
ejpam-3455	184	6	,	,	PUNCT
ejpam-3455	184	7	i.	i.	PROPN
ejpam-3455	184	8	ahmed	ahmed	PROPN
ejpam-3455	184	9	/	/	PUNCT
ejpam-3455	184	10	eur	eur	PROPN
ejpam-3455	184	11	.	.	PUNCT
ejpam-3455	185	1	j.	j.	PROPN
ejpam-3455	185	2	pure	pure	PROPN
ejpam-3455	185	3	appl	appl	PROPN
ejpam-3455	185	4	.	.	PROPN
ejpam-3455	185	5	math	math	PROPN
ejpam-3455	185	6	,	,	PUNCT
ejpam-3455	185	7	12	12	NUM
ejpam-3455	185	8	(	(	PUNCT
ejpam-3455	185	9	3	3	NUM
ejpam-3455	185	10	)	)	PUNCT
ejpam-3455	185	11	(	(	PUNCT
ejpam-3455	185	12	2019	2019	NUM
ejpam-3455	185	13	)	)	PUNCT
ejpam-3455	185	14	,	,	PUNCT
ejpam-3455	185	15	1018	1018	NUM
ejpam-3455	185	16	-	-	SYM
ejpam-3455	185	17	1051	1051	NUM
ejpam-3455	185	18	1027	1027	NUM
ejpam-3455	185	19	the	the	DET
ejpam-3455	185	20	series	series	NOUN
ejpam-3455	185	21	form	form	NOUN
ejpam-3455	185	22	of	of	ADP
ejpam-3455	185	23	the	the	DET
ejpam-3455	185	24	above	above	ADJ
ejpam-3455	185	25	expression	expression	NOUN
ejpam-3455	185	26	is	be	AUX
ejpam-3455	185	27	τ(y	τ(y	PROPN
ejpam-3455	185	28	,	,	PUNCT
ejpam-3455	185	29	q	q	NOUN
ejpam-3455	185	30	)	)	PUNCT
ejpam-3455	185	31	=	=	SYM
ejpam-3455	185	32	−uµω√	−uµω√	NOUN
ejpam-3455	185	33	ν	ν	NOUN
ejpam-3455	185	34	∞∑	∞∑	PROPN
ejpam-3455	185	35	i=0	i=0	PROPN
ejpam-3455	185	36	(	(	PUNCT
ejpam-3455	185	37	−1)i	−1)i	X
ejpam-3455	185	38	∞∑	∞∑	NUM
ejpam-3455	185	39	j=0	j=0	PROPN
ejpam-3455	185	40	1	1	NUM
ejpam-3455	185	41	j	j	NOUN
ejpam-3455	185	42	!	!	PUNCT
ejpam-3455	186	1	(	(	PUNCT
ejpam-3455	186	2	θ1√	θ1√	NOUN
ejpam-3455	186	3	ν	ν	NOUN
ejpam-3455	186	4	)	)	PUNCT
ejpam-3455	186	5	i−j	i−j	PROPN
ejpam-3455	186	6	(	(	PUNCT
ejpam-3455	186	7	−θ2	−θ2	PROPN
ejpam-3455	186	8	ν	ν	PROPN
ejpam-3455	186	9	)	)	PUNCT
ejpam-3455	187	1	j	j	PROPN
ejpam-3455	187	2	∞∑	∞∑	PRON
ejpam-3455	187	3	k=0	k=0	PROPN
ejpam-3455	187	4	1	1	NUM
ejpam-3455	187	5	k	k	NOUN
ejpam-3455	187	6	!	!	PUNCT
ejpam-3455	188	1	(	(	PUNCT
ejpam-3455	188	2	−	−	PROPN
ejpam-3455	188	3	y√	y√	NOUN
ejpam-3455	188	4	ν	ν	NOUN
ejpam-3455	188	5	)	)	PUNCT
ejpam-3455	189	1	k	k	PROPN
ejpam-3455	189	2	∞∑	∞∑	NUM
ejpam-3455	189	3	l=0	l=0	PROPN
ejpam-3455	189	4	(	(	PUNCT
ejpam-3455	189	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	189	6	l	l	NOUN
ejpam-3455	189	7	!	!	PUNCT
ejpam-3455	190	1	∞∑	∞∑	ADJ
ejpam-3455	190	2	m=0	m=0	PROPN
ejpam-3455	190	3	(	(	PUNCT
ejpam-3455	190	4	−m)m	−m)m	NOUN
ejpam-3455	190	5	m	m	VERB
ejpam-3455	190	6	!	!	PUNCT
ejpam-3455	191	1	∞∑	∞∑	ADJ
ejpam-3455	191	2	n=0	n=0	NUM
ejpam-3455	191	3	(	(	PUNCT
ejpam-3455	191	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	191	5	×λα	×λα	PROPN
ejpam-3455	191	6	(	(	PUNCT
ejpam-3455	191	7	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	191	8	2	2	NUM
ejpam-3455	191	9	−l	−l	NOUN
ejpam-3455	191	10	)	)	PUNCT
ejpam-3455	191	11	∞∑	∞∑	NUM
ejpam-3455	191	12	p=0	p=0	PUNCT
ejpam-3455	191	13	γ(j	γ(j	NOUN
ejpam-3455	191	14	−	−	PROPN
ejpam-3455	192	1	i)γ(l	i)γ(l	ADJ
ejpam-3455	192	2	−	−	NOUN
ejpam-3455	192	3	i+j+k+1	i+j+k+1	VERB
ejpam-3455	192	4	2	2	NUM
ejpam-3455	192	5	)	)	PUNCT
ejpam-3455	192	6	γ(m−	γ(m−	PROPN
ejpam-3455	192	7	i+j+k+1	i+j+k+1	VERB
ejpam-3455	192	8	2	2	NUM
ejpam-3455	192	9	+	+	NUM
ejpam-3455	192	10	l)γ(p−	l)γ(p−	NOUN
ejpam-3455	192	11	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	192	12	2	2	NUM
ejpam-3455	192	13	+	+	NUM
ejpam-3455	192	14	l	l	NOUN
ejpam-3455	192	15	)	)	PUNCT
ejpam-3455	192	16	(	(	PUNCT
ejpam-3455	192	17	−λα)−p	−λα)−p	NUM
ejpam-3455	192	18	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	192	19	i+j+k+1	i+j+k+1	VERB
ejpam-3455	192	20	2	2	NUM
ejpam-3455	192	21	)	)	PUNCT
ejpam-3455	192	22	γ(−	γ(−	PRON
ejpam-3455	192	23	i+j+k+1	i+j+k+1	VERB
ejpam-3455	192	24	2	2	NUM
ejpam-3455	192	25	+	+	SYM
ejpam-3455	192	26	l)γ(−	l)γ(−	ADJ
ejpam-3455	192	27	i+j+k−1	i+j+k−1	VERB
ejpam-3455	192	28	2	2	NUM
ejpam-3455	192	29	+	+	NUM
ejpam-3455	192	30	l	l	NOUN
ejpam-3455	192	31	)	)	PUNCT
ejpam-3455	192	32	×	×	NOUN
ejpam-3455	192	33	1	1	NUM
ejpam-3455	192	34	qαp−(1+α	qαp−(1+α	NOUN
ejpam-3455	192	35	)	)	PUNCT
ejpam-3455	193	1	(	(	PUNCT
ejpam-3455	193	2	i+j+k2	i+j+k2	INTJ
ejpam-3455	193	3	−l)−	−l)−	PROPN
ejpam-3455	193	4	1	1	NUM
ejpam-3455	193	5	2	2	NUM
ejpam-3455	193	6	(	(	PUNCT
ejpam-3455	193	7	1−α)+m+2n+2	1−α)+m+2n+2	NUM
ejpam-3455	193	8	.	.	PUNCT
ejpam-3455	194	1	(	(	PUNCT
ejpam-3455	194	2	22	22	NUM
ejpam-3455	194	3	)	)	PUNCT
ejpam-3455	194	4	application	application	NOUN
ejpam-3455	194	5	of	of	ADP
ejpam-3455	194	6	discrete	discrete	ADJ
ejpam-3455	194	7	inverse	inverse	NOUN
ejpam-3455	194	8	laplace	laplace	NOUN
ejpam-3455	194	9	transform	transform	NOUN
ejpam-3455	194	10	yield	yield	VERB
ejpam-3455	194	11	the	the	DET
ejpam-3455	194	12	following	follow	VERB
ejpam-3455	194	13	result	result	NOUN
ejpam-3455	194	14	,	,	PUNCT
ejpam-3455	194	15	τ(y	τ(y	PROPN
ejpam-3455	194	16	,	,	PUNCT
ejpam-3455	194	17	q	q	NOUN
ejpam-3455	194	18	)	)	PUNCT
ejpam-3455	195	1	=	=	SYM
ejpam-3455	195	2	−uµω√	−uµω√	NOUN
ejpam-3455	195	3	ν	ν	NOUN
ejpam-3455	195	4	∞∑	∞∑	PROPN
ejpam-3455	195	5	i=0	i=0	PROPN
ejpam-3455	195	6	(	(	PUNCT
ejpam-3455	195	7	−1)i	−1)i	X
ejpam-3455	195	8	∞∑	∞∑	NUM
ejpam-3455	195	9	j=0	j=0	PROPN
ejpam-3455	195	10	1	1	NUM
ejpam-3455	195	11	j	j	NOUN
ejpam-3455	195	12	!	!	PUNCT
ejpam-3455	196	1	(	(	PUNCT
ejpam-3455	196	2	θ1√	θ1√	NOUN
ejpam-3455	196	3	ν	ν	NOUN
ejpam-3455	196	4	)	)	PUNCT
ejpam-3455	196	5	i−j	i−j	PROPN
ejpam-3455	196	6	(	(	PUNCT
ejpam-3455	196	7	−θ2	−θ2	PROPN
ejpam-3455	196	8	ν	ν	PROPN
ejpam-3455	196	9	)	)	PUNCT
ejpam-3455	197	1	j	j	PROPN
ejpam-3455	197	2	∞∑	∞∑	PRON
ejpam-3455	197	3	k=0	k=0	PROPN
ejpam-3455	197	4	1	1	NUM
ejpam-3455	197	5	k	k	NOUN
ejpam-3455	197	6	!	!	PUNCT
ejpam-3455	198	1	(	(	PUNCT
ejpam-3455	198	2	−	−	PROPN
ejpam-3455	198	3	y√	y√	NOUN
ejpam-3455	198	4	ν	ν	NOUN
ejpam-3455	198	5	)	)	PUNCT
ejpam-3455	199	1	k	k	PROPN
ejpam-3455	199	2	∞∑	∞∑	NUM
ejpam-3455	199	3	l=0	l=0	PROPN
ejpam-3455	199	4	(	(	PUNCT
ejpam-3455	199	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	199	6	l	l	NOUN
ejpam-3455	199	7	!	!	PUNCT
ejpam-3455	200	1	∞∑	∞∑	ADJ
ejpam-3455	200	2	m=0	m=0	PROPN
ejpam-3455	200	3	(	(	PUNCT
ejpam-3455	200	4	−m)m	−m)m	PROPN
ejpam-3455	200	5	m	m	VERB
ejpam-3455	200	6	!	!	PUNCT
ejpam-3455	201	1	×	×	NOUN
ejpam-3455	202	1	∞∑	∞∑	ADJ
ejpam-3455	202	2	n=0	n=0	NUM
ejpam-3455	202	3	(	(	PUNCT
ejpam-3455	202	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	202	5	(	(	PUNCT
ejpam-3455	202	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	202	7	2	2	NUM
ejpam-3455	202	8	−l)t−(1+α	−l)t−(1+α	NUM
ejpam-3455	202	9	)	)	PUNCT
ejpam-3455	202	10	(	(	PUNCT
ejpam-3455	202	11	i+j+k2	i+j+k2	INTJ
ejpam-3455	202	12	−l)−	−l)−	PROPN
ejpam-3455	202	13	1	1	NUM
ejpam-3455	202	14	2	2	NUM
ejpam-3455	202	15	(	(	PUNCT
ejpam-3455	202	16	1−α)+m+2n+1	1−α)+m+2n+1	NUM
ejpam-3455	202	17	×	×	NOUN
ejpam-3455	202	18	∞∑	∞∑	PROPN
ejpam-3455	202	19	p=0	p=0	PROPN
ejpam-3455	202	20	(	(	PUNCT
ejpam-3455	202	21	−	−	PROPN
ejpam-3455	202	22	tα	tα	PROPN
ejpam-3455	202	23	λα	λα	PROPN
ejpam-3455	202	24	)	)	PUNCT
ejpam-3455	202	25	pγ(j	pγ(j	PART
ejpam-3455	202	26	−	−	NOUN
ejpam-3455	203	1	i)γ(l	i)γ(l	ADJ
ejpam-3455	203	2	−	−	PROPN
ejpam-3455	203	3	i+j+k+1	i+j+k+1	VERB
ejpam-3455	203	4	2	2	NUM
ejpam-3455	203	5	)	)	PUNCT
ejpam-3455	203	6	γ(m−	γ(m−	PROPN
ejpam-3455	203	7	i+j+k+1	i+j+k+1	VERB
ejpam-3455	203	8	2	2	NUM
ejpam-3455	203	9	+	+	NUM
ejpam-3455	203	10	l	l	NOUN
ejpam-3455	203	11	)	)	PUNCT
ejpam-3455	203	12	p!γ(−i)γ(−	p!γ(−i)γ(−	NOUN
ejpam-3455	203	13	i+j+k+1	i+j+k+1	VERB
ejpam-3455	203	14	2	2	NUM
ejpam-3455	203	15	)	)	PUNCT
ejpam-3455	203	16	γ(−	γ(−	PRON
ejpam-3455	203	17	i+j+k+1	i+j+k+1	VERB
ejpam-3455	203	18	2	2	NUM
ejpam-3455	203	19	+	+	CCONJ
ejpam-3455	203	20	l)γ(−	l)γ(−	NOUN
ejpam-3455	203	21	i+j+k	i+j+k	NOUN
ejpam-3455	203	22	2	2	NUM
ejpam-3455	203	23	+	+	NUM
ejpam-3455	203	24	l	l	NOUN
ejpam-3455	203	25	)	)	PUNCT
ejpam-3455	203	26	×	×	NOUN
ejpam-3455	203	27	γ(p−	γ(p−	VERB
ejpam-3455	203	28	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	203	29	2	2	NUM
ejpam-3455	203	30	+	+	NUM
ejpam-3455	203	31	l	l	NOUN
ejpam-3455	203	32	)	)	PUNCT
ejpam-3455	203	33	γ(αp−	γ(αp−	NOUN
ejpam-3455	203	34	(	(	PUNCT
ejpam-3455	203	35	1	1	NUM
ejpam-3455	203	36	+	+	NUM
ejpam-3455	203	37	α	α	X
ejpam-3455	203	38	)	)	PUNCT
ejpam-3455	203	39	(	(	PUNCT
ejpam-3455	203	40	i+j+k2	i+j+k2	NOUN
ejpam-3455	203	41	−	−	PROPN
ejpam-3455	203	42	l)−	l)−	PROPN
ejpam-3455	203	43	1	1	NUM
ejpam-3455	203	44	2(1−	2(1−	NUM
ejpam-3455	203	45	α	α	X
ejpam-3455	203	46	)	)	PUNCT
ejpam-3455	204	1	+	+	NOUN
ejpam-3455	204	2	m+	m+	NUM
ejpam-3455	204	3	2n+	2n+	NUM
ejpam-3455	204	4	2	2	NUM
ejpam-3455	204	5	)	)	PUNCT
ejpam-3455	204	6	.	.	PUNCT
ejpam-3455	205	1	(	(	PUNCT
ejpam-3455	205	2	23	23	NUM
ejpam-3455	205	3	)	)	PUNCT
ejpam-3455	205	4	generalized	generalized	ADJ
ejpam-3455	205	5	m	m	NOUN
ejpam-3455	205	6	-	-	PUNCT
ejpam-3455	205	7	function	function	NOUN
ejpam-3455	205	8	representation	representation	NOUN
ejpam-3455	205	9	of	of	ADP
ejpam-3455	205	10	the	the	DET
ejpam-3455	205	11	above	above	ADJ
ejpam-3455	205	12	expression	expression	NOUN
ejpam-3455	205	13	is	be	AUX
ejpam-3455	205	14	τs(y	τs(y	NUM
ejpam-3455	205	15	,	,	PUNCT
ejpam-3455	205	16	t	t	PROPN
ejpam-3455	205	17	)	)	PUNCT
ejpam-3455	205	18	=	=	SYM
ejpam-3455	206	1	−uµω√	−uµω√	NUM
ejpam-3455	206	2	ν	ν	NOUN
ejpam-3455	206	3	∞∑	∞∑	PROPN
ejpam-3455	206	4	i=0	i=0	PROPN
ejpam-3455	206	5	(	(	PUNCT
ejpam-3455	206	6	−1)i	−1)i	X
ejpam-3455	206	7	∞∑	∞∑	NUM
ejpam-3455	206	8	j=0	j=0	PROPN
ejpam-3455	206	9	1	1	NUM
ejpam-3455	206	10	j	j	NOUN
ejpam-3455	206	11	!	!	PUNCT
ejpam-3455	207	1	(	(	PUNCT
ejpam-3455	207	2	θ1√	θ1√	NOUN
ejpam-3455	207	3	ν	ν	NOUN
ejpam-3455	207	4	)	)	PUNCT
ejpam-3455	207	5	i−j	i−j	PROPN
ejpam-3455	207	6	(	(	PUNCT
ejpam-3455	207	7	−θ2	−θ2	PROPN
ejpam-3455	207	8	ν	ν	PROPN
ejpam-3455	207	9	)	)	PUNCT
ejpam-3455	208	1	j	j	PROPN
ejpam-3455	208	2	×	×	NOUN
ejpam-3455	208	3	∞∑	∞∑	PROPN
ejpam-3455	208	4	k=0	k=0	PROPN
ejpam-3455	208	5	1	1	NUM
ejpam-3455	208	6	k	k	NOUN
ejpam-3455	208	7	!	!	PUNCT
ejpam-3455	209	1	(	(	PUNCT
ejpam-3455	209	2	−	−	PROPN
ejpam-3455	209	3	y√	y√	NOUN
ejpam-3455	209	4	ν	ν	NOUN
ejpam-3455	209	5	)	)	PUNCT
ejpam-3455	210	1	k	k	PROPN
ejpam-3455	210	2	∞∑	∞∑	NUM
ejpam-3455	210	3	l=0	l=0	PROPN
ejpam-3455	210	4	(	(	PUNCT
ejpam-3455	210	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	210	6	l	l	NOUN
ejpam-3455	210	7	!	!	PUNCT
ejpam-3455	211	1	∞∑	∞∑	ADJ
ejpam-3455	211	2	m=0	m=0	PROPN
ejpam-3455	211	3	(	(	PUNCT
ejpam-3455	211	4	−m)m	−m)m	NOUN
ejpam-3455	211	5	m	m	VERB
ejpam-3455	211	6	!	!	PUNCT
ejpam-3455	212	1	∞∑	∞∑	ADJ
ejpam-3455	212	2	n=0	n=0	NUM
ejpam-3455	212	3	(	(	PUNCT
ejpam-3455	212	4	−ω2)nλα	−ω2)nλα	NOUN
ejpam-3455	212	5	(	(	PUNCT
ejpam-3455	212	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	212	7	2	2	NUM
ejpam-3455	212	8	−l	−l	NOUN
ejpam-3455	212	9	)	)	PUNCT
ejpam-3455	212	10	m.	m.	NOUN
ejpam-3455	212	11	jamil	jamil	PROPN
ejpam-3455	212	12	,	,	PUNCT
ejpam-3455	212	13	i.	i.	PROPN
ejpam-3455	212	14	ahmed	ahmed	PROPN
ejpam-3455	212	15	/	/	PUNCT
ejpam-3455	212	16	eur	eur	PROPN
ejpam-3455	212	17	.	.	PUNCT
ejpam-3455	213	1	j.	j.	PROPN
ejpam-3455	213	2	pure	pure	PROPN
ejpam-3455	213	3	appl	appl	PROPN
ejpam-3455	213	4	.	.	PROPN
ejpam-3455	213	5	math	math	PROPN
ejpam-3455	213	6	,	,	PUNCT
ejpam-3455	213	7	12	12	NUM
ejpam-3455	213	8	(	(	PUNCT
ejpam-3455	213	9	3	3	NUM
ejpam-3455	213	10	)	)	PUNCT
ejpam-3455	213	11	(	(	PUNCT
ejpam-3455	213	12	2019	2019	NUM
ejpam-3455	213	13	)	)	PUNCT
ejpam-3455	213	14	,	,	PUNCT
ejpam-3455	213	15	1018	1018	NUM
ejpam-3455	213	16	-	-	SYM
ejpam-3455	213	17	1051	1051	NUM
ejpam-3455	213	18	1028	1028	NUM
ejpam-3455	214	1	×m1,4	×m1,4	ADP
ejpam-3455	214	2	4,6	4,6	NUM
ejpam-3455	214	3	[	[	PUNCT
ejpam-3455	214	4	tα	tα	PROPN
ejpam-3455	214	5	λα	λα	PROPN
ejpam-3455	214	6	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	214	7	+	+	X
ejpam-3455	214	8	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	214	9	2	2	NUM
ejpam-3455	214	10	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	214	11	+	+	NOUN
ejpam-3455	214	12	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	214	13	2	2	NUM
ejpam-3455	214	14	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	214	15	+	+	NUM
ejpam-3455	214	16	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	214	17	2	2	NUM
ejpam-3455	214	18	−l,1	−l,1	PROPN
ejpam-3455	214	19	)	)	PUNCT
ejpam-3455	214	20	(	(	PUNCT
ejpam-3455	214	21	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	214	22	+	+	CCONJ
ejpam-3455	214	23	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	214	24	2	2	NUM
ejpam-3455	214	25	,	,	PUNCT
ejpam-3455	214	26	0),(1	0),(1	PROPN
ejpam-3455	215	1	+	+	CCONJ
ejpam-3455	215	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	215	3	2	2	NUM
ejpam-3455	215	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	215	5	+	+	NUM
ejpam-3455	215	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	215	7	2	2	NUM
ejpam-3455	215	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	215	9	)	)	PUNCT
ejpam-3455	215	10	(	(	PUNCT
ejpam-3455	216	1	i+j+k2	i+j+k2	NOUN
ejpam-3455	216	2	−l)+	−l)+	NOUN
ejpam-3455	216	3	1	1	NUM
ejpam-3455	216	4	2	2	NUM
ejpam-3455	216	5	(	(	PUNCT
ejpam-3455	216	6	1−α)−m−2n−1,α	1−α)−m−2n−1,α	NUM
ejpam-3455	216	7	)	)	PUNCT
ejpam-3455	216	8	]	]	PUNCT
ejpam-3455	216	9	.(24	.(24	X
ejpam-3455	216	10	)	)	PUNCT
ejpam-3455	216	11	similarly	similarly	ADV
ejpam-3455	216	12	,	,	PUNCT
ejpam-3455	216	13	shear	shear	NOUN
ejpam-3455	216	14	stress	stress	NOUN
ejpam-3455	216	15	for	for	ADP
ejpam-3455	216	16	cosine	cosine	NOUN
ejpam-3455	216	17	oscillations	oscillation	NOUN
ejpam-3455	216	18	is	be	AUX
ejpam-3455	216	19	τc(y	τc(y	PUNCT
ejpam-3455	216	20	,	,	PUNCT
ejpam-3455	216	21	t	t	PROPN
ejpam-3455	216	22	)	)	PUNCT
ejpam-3455	216	23	=	=	SYM
ejpam-3455	217	1	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	217	2	ν	ν	PROPN
ejpam-3455	217	3	∞∑	∞∑	PROPN
ejpam-3455	217	4	i=0	i=0	PROPN
ejpam-3455	217	5	(	(	PUNCT
ejpam-3455	217	6	−1)i	−1)i	X
ejpam-3455	217	7	∞∑	∞∑	NUM
ejpam-3455	217	8	j=0	j=0	PROPN
ejpam-3455	217	9	1	1	NUM
ejpam-3455	217	10	j	j	NOUN
ejpam-3455	217	11	!	!	PUNCT
ejpam-3455	218	1	(	(	PUNCT
ejpam-3455	218	2	θ1√	θ1√	NOUN
ejpam-3455	218	3	ν	ν	NOUN
ejpam-3455	218	4	)	)	PUNCT
ejpam-3455	218	5	i−j	i−j	PROPN
ejpam-3455	218	6	(	(	PUNCT
ejpam-3455	218	7	−θ2	−θ2	PROPN
ejpam-3455	218	8	ν	ν	PROPN
ejpam-3455	218	9	)	)	PUNCT
ejpam-3455	219	1	j	j	PROPN
ejpam-3455	219	2	×	×	NOUN
ejpam-3455	219	3	∞∑	∞∑	PROPN
ejpam-3455	219	4	k=0	k=0	PROPN
ejpam-3455	219	5	1	1	NUM
ejpam-3455	219	6	k	k	NOUN
ejpam-3455	219	7	!	!	PUNCT
ejpam-3455	220	1	(	(	PUNCT
ejpam-3455	220	2	−	−	PROPN
ejpam-3455	220	3	y√	y√	NOUN
ejpam-3455	220	4	ν	ν	NOUN
ejpam-3455	220	5	)	)	PUNCT
ejpam-3455	221	1	k	k	PROPN
ejpam-3455	221	2	∞∑	∞∑	NUM
ejpam-3455	221	3	l=0	l=0	PROPN
ejpam-3455	221	4	(	(	PUNCT
ejpam-3455	221	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	221	6	l	l	NOUN
ejpam-3455	221	7	!	!	PUNCT
ejpam-3455	222	1	∞∑	∞∑	ADJ
ejpam-3455	222	2	m=0	m=0	PROPN
ejpam-3455	222	3	(	(	PUNCT
ejpam-3455	222	4	−m)m	−m)m	NOUN
ejpam-3455	222	5	m	m	VERB
ejpam-3455	222	6	!	!	PUNCT
ejpam-3455	223	1	∞∑	∞∑	ADJ
ejpam-3455	223	2	n=0	n=0	NUM
ejpam-3455	223	3	(	(	PUNCT
ejpam-3455	223	4	−ω2)nλα	−ω2)nλα	NOUN
ejpam-3455	223	5	(	(	PUNCT
ejpam-3455	223	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	223	7	2	2	NUM
ejpam-3455	223	8	−l	−l	NOUN
ejpam-3455	223	9	)	)	PUNCT
ejpam-3455	223	10	×m1,4	×m1,4	ADP
ejpam-3455	223	11	4,6	4,6	NUM
ejpam-3455	223	12	[	[	PUNCT
ejpam-3455	223	13	tα	tα	PROPN
ejpam-3455	223	14	λα	λα	PROPN
ejpam-3455	223	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	223	16	+	+	X
ejpam-3455	223	17	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	223	18	2	2	NUM
ejpam-3455	223	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	223	20	+	+	NOUN
ejpam-3455	223	21	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	223	22	2	2	NUM
ejpam-3455	223	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	223	24	+	+	NUM
ejpam-3455	223	25	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	223	26	2	2	NUM
ejpam-3455	223	27	−l,1	−l,1	PROPN
ejpam-3455	223	28	)	)	PUNCT
ejpam-3455	223	29	(	(	PUNCT
ejpam-3455	223	30	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	223	31	+	+	CCONJ
ejpam-3455	223	32	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	223	33	2	2	NUM
ejpam-3455	223	34	,	,	PUNCT
ejpam-3455	223	35	0),(1	0),(1	PROPN
ejpam-3455	224	1	+	+	CCONJ
ejpam-3455	224	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	224	3	2	2	NUM
ejpam-3455	224	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	224	5	+	+	NUM
ejpam-3455	224	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	224	7	2	2	NUM
ejpam-3455	224	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	224	9	)	)	PUNCT
ejpam-3455	224	10	(	(	PUNCT
ejpam-3455	225	1	i+j+k2	i+j+k2	NOUN
ejpam-3455	225	2	−l)+	−l)+	NOUN
ejpam-3455	225	3	1	1	NUM
ejpam-3455	225	4	2	2	NUM
ejpam-3455	225	5	(	(	PUNCT
ejpam-3455	225	6	1−α)−m−2n	1−α)−m−2n	PROPN
ejpam-3455	225	7	,	,	PUNCT
ejpam-3455	225	8	α	α	NOUN
ejpam-3455	225	9	)	)	PUNCT
ejpam-3455	225	10	]	]	PUNCT
ejpam-3455	225	11	.(25	.(25	X
ejpam-3455	225	12	)	)	PUNCT
ejpam-3455	226	1	4	4	X
ejpam-3455	226	2	.	.	X
ejpam-3455	226	3	special	special	ADJ
ejpam-3455	226	4	cases	case	NOUN
ejpam-3455	226	5	4.1	4.1	NUM
ejpam-3455	226	6	.	.	PUNCT
ejpam-3455	227	1	ordinary	ordinary	ADJ
ejpam-3455	227	2	mhd	mhd	PROPN
ejpam-3455	227	3	maxwell	maxwell	PROPN
ejpam-3455	227	4	fluid	fluid	NOUN
ejpam-3455	227	5	in	in	ADP
ejpam-3455	227	6	porous	porous	ADJ
ejpam-3455	227	7	medium	medium	NOUN
ejpam-3455	227	8	when	when	SCONJ
ejpam-3455	227	9	α	α	NOUN
ejpam-3455	227	10	−→	−→	NOUN
ejpam-3455	227	11	1	1	NUM
ejpam-3455	227	12	,	,	PUNCT
ejpam-3455	227	13	the	the	DET
ejpam-3455	227	14	eq	eq	NOUN
ejpam-3455	227	15	.	.	PUNCT
ejpam-3455	227	16	(	(	PUNCT
ejpam-3455	227	17	17	17	NUM
ejpam-3455	227	18	)	)	PUNCT
ejpam-3455	227	19	,	,	PUNCT
ejpam-3455	227	20	(	(	PUNCT
ejpam-3455	227	21	19	19	NUM
ejpam-3455	227	22	)	)	PUNCT
ejpam-3455	227	23	,	,	PUNCT
ejpam-3455	227	24	(	(	PUNCT
ejpam-3455	227	25	24	24	NUM
ejpam-3455	227	26	)	)	PUNCT
ejpam-3455	227	27	,	,	PUNCT
ejpam-3455	227	28	(	(	PUNCT
ejpam-3455	227	29	25	25	NUM
ejpam-3455	227	30	)	)	PUNCT
ejpam-3455	227	31	reduces	reduce	VERB
ejpam-3455	227	32	to	to	ADP
ejpam-3455	227	33	the	the	DET
ejpam-3455	227	34	solutions	solution	NOUN
ejpam-3455	227	35	for	for	ADP
ejpam-3455	227	36	usual	usual	ADJ
ejpam-3455	227	37	maxwell	maxwell	PROPN
ejpam-3455	227	38	fluid	fluid	NOUN
ejpam-3455	227	39	.	.	PUNCT
ejpam-3455	228	1	us(y	us(y	PROPN
ejpam-3455	228	2	,	,	PUNCT
ejpam-3455	228	3	t	t	PROPN
ejpam-3455	228	4	)	)	PUNCT
ejpam-3455	229	1	=	=	SYM
ejpam-3455	229	2	u	u	NOUN
ejpam-3455	229	3	sin(ωt	sin(ωt	NOUN
ejpam-3455	229	4	)	)	PUNCT
ejpam-3455	230	1	+	+	CCONJ
ejpam-3455	230	2	uω	uω	ADV
ejpam-3455	230	3	∞∑	∞∑	NUM
ejpam-3455	230	4	i=1	i=1	PRON
ejpam-3455	230	5	(	(	PUNCT
ejpam-3455	230	6	−1)i	−1)i	X
ejpam-3455	230	7	∞∑	∞∑	NUM
ejpam-3455	230	8	j=0	j=0	PROPN
ejpam-3455	230	9	1	1	NUM
ejpam-3455	230	10	j	j	NOUN
ejpam-3455	230	11	!	!	PUNCT
ejpam-3455	231	1	(	(	PUNCT
ejpam-3455	231	2	θ1√	θ1√	NOUN
ejpam-3455	231	3	ν	ν	NOUN
ejpam-3455	231	4	)	)	PUNCT
ejpam-3455	231	5	i−j	i−j	PROPN
ejpam-3455	231	6	(	(	PUNCT
ejpam-3455	231	7	−θ2	−θ2	PROPN
ejpam-3455	231	8	ν	ν	PROPN
ejpam-3455	231	9	)	)	PUNCT
ejpam-3455	232	1	j	j	PROPN
ejpam-3455	232	2	∞∑	∞∑	NUM
ejpam-3455	232	3	l=0	l=0	PROPN
ejpam-3455	232	4	(	(	PUNCT
ejpam-3455	232	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	232	6	l	l	NOUN
ejpam-3455	232	7	!	!	PUNCT
ejpam-3455	233	1	∞∑	∞∑	ADJ
ejpam-3455	233	2	m=0	m=0	PROPN
ejpam-3455	233	3	(	(	PUNCT
ejpam-3455	233	4	−m)m	−m)m	NOUN
ejpam-3455	233	5	m	m	VERB
ejpam-3455	233	6	!	!	PUNCT
ejpam-3455	234	1	∞∑	∞∑	ADJ
ejpam-3455	234	2	n=0	n=0	NUM
ejpam-3455	234	3	(	(	PUNCT
ejpam-3455	234	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	234	5	×λ	×λ	PROPN
ejpam-3455	234	6	(	(	PUNCT
ejpam-3455	234	7	i+j	i+j	NUM
ejpam-3455	234	8	2	2	NUM
ejpam-3455	234	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	234	10	4,6	4,6	NUM
ejpam-3455	234	11	[	[	PUNCT
ejpam-3455	234	12	t	t	X
ejpam-3455	234	13	λ	λ	X
ejpam-3455	234	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	234	15	+	+	NUM
ejpam-3455	234	16	i+j	i+j	NUM
ejpam-3455	234	17	2	2	NUM
ejpam-3455	234	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	234	19	+	+	NOUN
ejpam-3455	234	20	i+j	i+j	NUM
ejpam-3455	234	21	2	2	NUM
ejpam-3455	234	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	234	23	+	+	CCONJ
ejpam-3455	234	24	i+j	i+j	NUM
ejpam-3455	234	25	2	2	NUM
ejpam-3455	234	26	−l,1	−l,1	PROPN
ejpam-3455	234	27	)	)	PUNCT
ejpam-3455	234	28	(	(	PUNCT
ejpam-3455	234	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	234	30	+	+	CCONJ
ejpam-3455	234	31	i+j	i+j	NUM
ejpam-3455	234	32	2	2	NUM
ejpam-3455	234	33	,	,	PUNCT
ejpam-3455	234	34	0),(1	0),(1	PROPN
ejpam-3455	234	35	+	+	CCONJ
ejpam-3455	234	36	i+j	i+j	NUM
ejpam-3455	234	37	2	2	NUM
ejpam-3455	234	38	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	234	39	+	+	NOUN
ejpam-3455	234	40	i+j	i+j	NUM
ejpam-3455	234	41	2	2	NUM
ejpam-3455	234	42	−l,0),(i+j−2l−m−2n−1,1	−l,0),(i+j−2l−m−2n−1,1	NOUN
ejpam-3455	234	43	)	)	PUNCT
ejpam-3455	234	44	]	]	PUNCT
ejpam-3455	235	1	+	+	ADP
ejpam-3455	235	2	uω	uω	ADV
ejpam-3455	235	3	∞∑	∞∑	PROPN
ejpam-3455	235	4	i=0	i=0	ADJ
ejpam-3455	235	5	(	(	PUNCT
ejpam-3455	235	6	−1)i	−1)i	X
ejpam-3455	235	7	∞∑	∞∑	NUM
ejpam-3455	235	8	j=0	j=0	PROPN
ejpam-3455	235	9	1	1	NUM
ejpam-3455	235	10	j	j	NOUN
ejpam-3455	235	11	!	!	PUNCT
ejpam-3455	236	1	(	(	PUNCT
ejpam-3455	236	2	θ1√	θ1√	NOUN
ejpam-3455	236	3	ν	ν	NOUN
ejpam-3455	236	4	)	)	PUNCT
ejpam-3455	236	5	i−j	i−j	PROPN
ejpam-3455	236	6	(	(	PUNCT
ejpam-3455	236	7	−θ2	−θ2	PROPN
ejpam-3455	236	8	ν	ν	PROPN
ejpam-3455	236	9	)	)	PUNCT
ejpam-3455	237	1	j	j	PROPN
ejpam-3455	238	1	∞∑	∞∑	NUM
ejpam-3455	238	2	k=1	k=1	PROPN
ejpam-3455	238	3	1	1	NUM
ejpam-3455	238	4	k	k	NOUN
ejpam-3455	238	5	!	!	PUNCT
ejpam-3455	239	1	(	(	PUNCT
ejpam-3455	239	2	−	−	PROPN
ejpam-3455	239	3	y√	y√	NOUN
ejpam-3455	239	4	ν	ν	NOUN
ejpam-3455	239	5	)	)	PUNCT
ejpam-3455	240	1	k	k	PROPN
ejpam-3455	240	2	∞∑	∞∑	NUM
ejpam-3455	240	3	l=0	l=0	PROPN
ejpam-3455	240	4	(	(	PUNCT
ejpam-3455	240	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	240	6	l	l	NOUN
ejpam-3455	240	7	!	!	PUNCT
ejpam-3455	241	1	∞∑	∞∑	ADJ
ejpam-3455	241	2	m=0	m=0	PROPN
ejpam-3455	241	3	(	(	PUNCT
ejpam-3455	241	4	−m)m	−m)m	NOUN
ejpam-3455	241	5	m	m	VERB
ejpam-3455	241	6	!	!	PUNCT
ejpam-3455	242	1	∞∑	∞∑	ADJ
ejpam-3455	242	2	n=0	n=0	NUM
ejpam-3455	242	3	(	(	PUNCT
ejpam-3455	242	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	242	5	×λ	×λ	PROPN
ejpam-3455	242	6	(	(	PUNCT
ejpam-3455	242	7	i+j+k	i+j+k	NOUN
ejpam-3455	242	8	2	2	NUM
ejpam-3455	242	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	242	10	4,6	4,6	NUM
ejpam-3455	242	11	[	[	PUNCT
ejpam-3455	242	12	t	t	X
ejpam-3455	242	13	λ	λ	X
ejpam-3455	242	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	242	15	+	+	PROPN
ejpam-3455	242	16	i+j+k	i+j+k	NOUN
ejpam-3455	242	17	2	2	NUM
ejpam-3455	242	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	242	19	+	+	NOUN
ejpam-3455	242	20	i+j+k	i+j+k	NOUN
ejpam-3455	242	21	2	2	NUM
ejpam-3455	242	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	242	23	+	+	NUM
ejpam-3455	242	24	i+j+k	i+j+k	NOUN
ejpam-3455	242	25	2	2	NUM
ejpam-3455	242	26	−l,1	−l,1	PROPN
ejpam-3455	242	27	)	)	PUNCT
ejpam-3455	242	28	(	(	PUNCT
ejpam-3455	242	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	242	30	+	+	CCONJ
ejpam-3455	242	31	i+j+k	i+j+k	NOUN
ejpam-3455	242	32	2	2	NUM
ejpam-3455	242	33	,	,	PUNCT
ejpam-3455	242	34	0),(1	0),(1	PROPN
ejpam-3455	243	1	+	+	NOUN
ejpam-3455	243	2	i+j+k	i+j+k	NOUN
ejpam-3455	243	3	2	2	NUM
ejpam-3455	243	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	243	5	+	+	NOUN
ejpam-3455	243	6	i+j+k	i+j+k	ADJ
ejpam-3455	243	7	2	2	NUM
ejpam-3455	243	8	−l,0),(i+j+k−2l−m−2n−1,1	−l,0),(i+j+k−2l−m−2n−1,1	NOUN
ejpam-3455	243	9	)	)	PUNCT
ejpam-3455	243	10	]	]	PUNCT
ejpam-3455	243	11	,	,	PUNCT
ejpam-3455	243	12	(	(	PUNCT
ejpam-3455	243	13	26	26	NUM
ejpam-3455	243	14	)	)	PUNCT
ejpam-3455	243	15	m.	m.	NOUN
ejpam-3455	243	16	jamil	jamil	PROPN
ejpam-3455	243	17	,	,	PUNCT
ejpam-3455	243	18	i.	i.	PROPN
ejpam-3455	243	19	ahmed	ahmed	PROPN
ejpam-3455	243	20	/	/	PUNCT
ejpam-3455	243	21	eur	eur	PROPN
ejpam-3455	243	22	.	.	PUNCT
ejpam-3455	244	1	j.	j.	PROPN
ejpam-3455	244	2	pure	pure	PROPN
ejpam-3455	244	3	appl	appl	PROPN
ejpam-3455	244	4	.	.	PROPN
ejpam-3455	244	5	math	math	PROPN
ejpam-3455	244	6	,	,	PUNCT
ejpam-3455	244	7	12	12	NUM
ejpam-3455	244	8	(	(	PUNCT
ejpam-3455	244	9	3	3	NUM
ejpam-3455	244	10	)	)	PUNCT
ejpam-3455	244	11	(	(	PUNCT
ejpam-3455	244	12	2019	2019	NUM
ejpam-3455	244	13	)	)	PUNCT
ejpam-3455	244	14	,	,	PUNCT
ejpam-3455	244	15	1018	1018	NUM
ejpam-3455	244	16	-	-	SYM
ejpam-3455	244	17	1051	1051	NUM
ejpam-3455	244	18	1029	1029	NUM
ejpam-3455	244	19	uc(y	uc(y	ADP
ejpam-3455	244	20	,	,	PUNCT
ejpam-3455	244	21	t	t	PROPN
ejpam-3455	244	22	)	)	PUNCT
ejpam-3455	244	23	=	=	SYM
ejpam-3455	244	24	uh(t	uh(t	X
ejpam-3455	244	25	)	)	PUNCT
ejpam-3455	244	26	cos(ωt	cos(ωt	PRON
ejpam-3455	244	27	)	)	PUNCT
ejpam-3455	244	28	+	+	NOUN
ejpam-3455	244	29	uh(t	uh(t	X
ejpam-3455	244	30	)	)	PUNCT
ejpam-3455	244	31	∞∑	∞∑	NUM
ejpam-3455	244	32	i=1	i=1	X
ejpam-3455	244	33	(	(	PUNCT
ejpam-3455	244	34	−1)i	−1)i	X
ejpam-3455	244	35	∞∑	∞∑	NUM
ejpam-3455	244	36	j=0	j=0	PROPN
ejpam-3455	244	37	1	1	NUM
ejpam-3455	244	38	j	j	NOUN
ejpam-3455	244	39	!	!	PUNCT
ejpam-3455	245	1	(	(	PUNCT
ejpam-3455	245	2	θ1√	θ1√	NOUN
ejpam-3455	245	3	ν	ν	NOUN
ejpam-3455	245	4	)	)	PUNCT
ejpam-3455	245	5	i−j	i−j	PROPN
ejpam-3455	245	6	(	(	PUNCT
ejpam-3455	245	7	−θ2	−θ2	PROPN
ejpam-3455	245	8	ν	ν	PROPN
ejpam-3455	245	9	)	)	PUNCT
ejpam-3455	246	1	j	j	PROPN
ejpam-3455	246	2	∞∑	∞∑	NUM
ejpam-3455	246	3	l=0	l=0	PROPN
ejpam-3455	246	4	(	(	PUNCT
ejpam-3455	246	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	246	6	l	l	NOUN
ejpam-3455	246	7	!	!	PUNCT
ejpam-3455	247	1	∞∑	∞∑	ADJ
ejpam-3455	247	2	m=0	m=0	PROPN
ejpam-3455	247	3	(	(	PUNCT
ejpam-3455	247	4	−m)m	−m)m	PROPN
ejpam-3455	247	5	m	m	VERB
ejpam-3455	247	6	!	!	PUNCT
ejpam-3455	248	1	×	×	NOUN
ejpam-3455	248	2	∞∑	∞∑	ADJ
ejpam-3455	248	3	n=0	n=0	NUM
ejpam-3455	248	4	(	(	PUNCT
ejpam-3455	248	5	−ω2)nλ	−ω2)nλ	PROPN
ejpam-3455	248	6	(	(	PUNCT
ejpam-3455	248	7	i+j	i+j	NUM
ejpam-3455	248	8	2	2	NUM
ejpam-3455	248	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	248	10	4,6	4,6	NUM
ejpam-3455	248	11	[	[	PUNCT
ejpam-3455	248	12	t	t	X
ejpam-3455	248	13	λ	λ	X
ejpam-3455	248	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	248	15	+	+	NUM
ejpam-3455	248	16	i+j	i+j	NUM
ejpam-3455	248	17	2	2	NUM
ejpam-3455	248	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	248	19	+	+	NOUN
ejpam-3455	248	20	i+j	i+j	NUM
ejpam-3455	248	21	2	2	NUM
ejpam-3455	248	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	248	23	+	+	CCONJ
ejpam-3455	248	24	i+j	i+j	NUM
ejpam-3455	248	25	2	2	NUM
ejpam-3455	248	26	−l,1	−l,1	PROPN
ejpam-3455	248	27	)	)	PUNCT
ejpam-3455	248	28	(	(	PUNCT
ejpam-3455	248	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	248	30	+	+	CCONJ
ejpam-3455	248	31	i+j	i+j	NUM
ejpam-3455	248	32	2	2	NUM
ejpam-3455	248	33	,	,	PUNCT
ejpam-3455	248	34	0),(1	0),(1	PROPN
ejpam-3455	249	1	+	+	CCONJ
ejpam-3455	249	2	i+j	i+j	NUM
ejpam-3455	249	3	2	2	NUM
ejpam-3455	249	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	249	5	+	+	NOUN
ejpam-3455	249	6	i+j	i+j	NUM
ejpam-3455	249	7	2	2	NUM
ejpam-3455	249	8	−l,0),(i+j−2l−m−2n,1	−l,0),(i+j−2l−m−2n,1	NOUN
ejpam-3455	249	9	)	)	PUNCT
ejpam-3455	249	10	]	]	PUNCT
ejpam-3455	250	1	+	+	X
ejpam-3455	250	2	uh(t	uh(t	X
ejpam-3455	250	3	)	)	PUNCT
ejpam-3455	250	4	∞∑	∞∑	PROPN
ejpam-3455	250	5	i=0	i=0	PROPN
ejpam-3455	250	6	(	(	PUNCT
ejpam-3455	250	7	−1)i	−1)i	X
ejpam-3455	250	8	∞∑	∞∑	NUM
ejpam-3455	250	9	j=0	j=0	PROPN
ejpam-3455	250	10	1	1	NUM
ejpam-3455	250	11	j	j	NOUN
ejpam-3455	250	12	!	!	PUNCT
ejpam-3455	250	13	(	(	PUNCT
ejpam-3455	250	14	θ1√	θ1√	NOUN
ejpam-3455	250	15	ν	ν	NOUN
ejpam-3455	250	16	)	)	PUNCT
ejpam-3455	250	17	i−j	i−j	PROPN
ejpam-3455	250	18	(	(	PUNCT
ejpam-3455	250	19	−θ2	−θ2	PROPN
ejpam-3455	250	20	ν	ν	PROPN
ejpam-3455	250	21	)	)	PUNCT
ejpam-3455	250	22	j	j	PROPN
ejpam-3455	251	1	∞∑	∞∑	NUM
ejpam-3455	251	2	k=1	k=1	PROPN
ejpam-3455	251	3	1	1	NUM
ejpam-3455	251	4	k	k	NOUN
ejpam-3455	251	5	!	!	PUNCT
ejpam-3455	252	1	(	(	PUNCT
ejpam-3455	252	2	−	−	PROPN
ejpam-3455	252	3	y√	y√	NOUN
ejpam-3455	252	4	ν	ν	NOUN
ejpam-3455	252	5	)	)	PUNCT
ejpam-3455	253	1	k	k	PROPN
ejpam-3455	253	2	∞∑	∞∑	NUM
ejpam-3455	253	3	l=0	l=0	PROPN
ejpam-3455	253	4	(	(	PUNCT
ejpam-3455	253	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	253	6	l	l	NOUN
ejpam-3455	253	7	!	!	PUNCT
ejpam-3455	254	1	∞∑	∞∑	ADJ
ejpam-3455	254	2	m=0	m=0	PROPN
ejpam-3455	254	3	(	(	PUNCT
ejpam-3455	254	4	−m)m	−m)m	PROPN
ejpam-3455	254	5	m	m	VERB
ejpam-3455	254	6	!	!	PUNCT
ejpam-3455	255	1	×	×	NOUN
ejpam-3455	255	2	∞∑	∞∑	ADJ
ejpam-3455	255	3	n=0	n=0	NUM
ejpam-3455	255	4	(	(	PUNCT
ejpam-3455	255	5	−ω2)nλ	−ω2)nλ	PROPN
ejpam-3455	255	6	(	(	PUNCT
ejpam-3455	255	7	i+j+k	i+j+k	NOUN
ejpam-3455	255	8	2	2	NUM
ejpam-3455	255	9	−l)m1,4	−l)m1,4	NUM
ejpam-3455	255	10	4,6	4,6	NUM
ejpam-3455	255	11	[	[	PUNCT
ejpam-3455	255	12	t	t	X
ejpam-3455	255	13	λ	λ	X
ejpam-3455	255	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	255	15	+	+	PROPN
ejpam-3455	255	16	i+j+k	i+j+k	NOUN
ejpam-3455	255	17	2	2	NUM
ejpam-3455	255	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	255	19	+	+	NOUN
ejpam-3455	255	20	i+j+k	i+j+k	NOUN
ejpam-3455	255	21	2	2	NUM
ejpam-3455	255	22	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	255	23	+	+	NUM
ejpam-3455	255	24	i+j+k	i+j+k	NOUN
ejpam-3455	255	25	2	2	NUM
ejpam-3455	255	26	−l,1	−l,1	PROPN
ejpam-3455	255	27	)	)	PUNCT
ejpam-3455	255	28	(	(	PUNCT
ejpam-3455	255	29	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	255	30	+	+	CCONJ
ejpam-3455	255	31	i+j+k	i+j+k	NOUN
ejpam-3455	255	32	2	2	NUM
ejpam-3455	255	33	,	,	PUNCT
ejpam-3455	255	34	0),(1	0),(1	PROPN
ejpam-3455	256	1	+	+	NOUN
ejpam-3455	256	2	i+j+k	i+j+k	NOUN
ejpam-3455	256	3	2	2	NUM
ejpam-3455	256	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	256	5	+	+	NOUN
ejpam-3455	256	6	i+j+k	i+j+k	ADJ
ejpam-3455	256	7	2	2	NUM
ejpam-3455	256	8	−l,0),(i+j+k−2l−m−2n,1	−l,0),(i+j+k−2l−m−2n,1	NOUN
ejpam-3455	256	9	)	)	PUNCT
ejpam-3455	256	10	]	]	PUNCT
ejpam-3455	256	11	,	,	PUNCT
ejpam-3455	256	12	(	(	PUNCT
ejpam-3455	256	13	27	27	NUM
ejpam-3455	256	14	)	)	PUNCT
ejpam-3455	256	15	and	and	CCONJ
ejpam-3455	256	16	the	the	DET
ejpam-3455	256	17	corresponding	corresponding	ADJ
ejpam-3455	256	18	shear	shear	NOUN
ejpam-3455	256	19	stresses	stress	NOUN
ejpam-3455	256	20	are	be	AUX
ejpam-3455	256	21	τs(y	τs(y	NUM
ejpam-3455	256	22	,	,	PUNCT
ejpam-3455	256	23	t	t	PROPN
ejpam-3455	256	24	)	)	PUNCT
ejpam-3455	256	25	=	=	SYM
ejpam-3455	257	1	−uµω√	−uµω√	NUM
ejpam-3455	257	2	ν	ν	NOUN
ejpam-3455	257	3	∞∑	∞∑	PROPN
ejpam-3455	257	4	i=0	i=0	PROPN
ejpam-3455	257	5	(	(	PUNCT
ejpam-3455	257	6	−1)i	−1)i	X
ejpam-3455	257	7	∞∑	∞∑	NUM
ejpam-3455	257	8	j=0	j=0	PROPN
ejpam-3455	257	9	1	1	NUM
ejpam-3455	257	10	j	j	NOUN
ejpam-3455	257	11	!	!	PUNCT
ejpam-3455	258	1	(	(	PUNCT
ejpam-3455	258	2	θ1√	θ1√	NOUN
ejpam-3455	258	3	ν	ν	NOUN
ejpam-3455	258	4	)	)	PUNCT
ejpam-3455	258	5	i−j	i−j	PROPN
ejpam-3455	258	6	(	(	PUNCT
ejpam-3455	258	7	−θ2	−θ2	PROPN
ejpam-3455	258	8	ν	ν	PROPN
ejpam-3455	258	9	)	)	PUNCT
ejpam-3455	259	1	j	j	PROPN
ejpam-3455	259	2	×	×	NOUN
ejpam-3455	259	3	∞∑	∞∑	PROPN
ejpam-3455	259	4	k=0	k=0	PROPN
ejpam-3455	259	5	1	1	NUM
ejpam-3455	259	6	k	k	NOUN
ejpam-3455	259	7	!	!	PUNCT
ejpam-3455	260	1	(	(	PUNCT
ejpam-3455	260	2	−	−	PROPN
ejpam-3455	260	3	y√	y√	NOUN
ejpam-3455	260	4	ν	ν	NOUN
ejpam-3455	260	5	)	)	PUNCT
ejpam-3455	261	1	k	k	PROPN
ejpam-3455	261	2	∞∑	∞∑	NUM
ejpam-3455	261	3	l=0	l=0	PROPN
ejpam-3455	261	4	(	(	PUNCT
ejpam-3455	261	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	261	6	l	l	NOUN
ejpam-3455	261	7	!	!	PUNCT
ejpam-3455	262	1	∞∑	∞∑	ADJ
ejpam-3455	262	2	m=0	m=0	PROPN
ejpam-3455	262	3	(	(	PUNCT
ejpam-3455	262	4	−m)m	−m)m	NOUN
ejpam-3455	262	5	m	m	VERB
ejpam-3455	262	6	!	!	PUNCT
ejpam-3455	263	1	∞∑	∞∑	ADJ
ejpam-3455	263	2	n=0	n=0	NUM
ejpam-3455	263	3	(	(	PUNCT
ejpam-3455	263	4	−ω2)nλ	−ω2)nλ	NOUN
ejpam-3455	263	5	(	(	PUNCT
ejpam-3455	263	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	263	7	2	2	NUM
ejpam-3455	263	8	−l	−l	NOUN
ejpam-3455	263	9	)	)	PUNCT
ejpam-3455	263	10	×m1,4	×m1,4	ADP
ejpam-3455	263	11	4,6	4,6	NUM
ejpam-3455	263	12	[	[	PUNCT
ejpam-3455	263	13	t	t	X
ejpam-3455	263	14	λ	λ	X
ejpam-3455	263	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	263	16	+	+	X
ejpam-3455	263	17	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	263	18	2	2	NUM
ejpam-3455	263	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	263	20	+	+	NOUN
ejpam-3455	263	21	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	263	22	2	2	NUM
ejpam-3455	263	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	263	24	+	+	NUM
ejpam-3455	263	25	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	263	26	2	2	NUM
ejpam-3455	263	27	−l,1	−l,1	PROPN
ejpam-3455	263	28	)	)	PUNCT
ejpam-3455	263	29	(	(	PUNCT
ejpam-3455	263	30	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	263	31	+	+	CCONJ
ejpam-3455	263	32	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	263	33	2	2	NUM
ejpam-3455	263	34	,	,	PUNCT
ejpam-3455	263	35	0),(1	0),(1	PROPN
ejpam-3455	264	1	+	+	CCONJ
ejpam-3455	264	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	264	3	2	2	NUM
ejpam-3455	264	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	264	5	+	+	NUM
ejpam-3455	264	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	264	7	2	2	NUM
ejpam-3455	264	8	−l,0),(i+j+k−2l−m−2n−1,1	−l,0),(i+j+k−2l−m−2n−1,1	NOUN
ejpam-3455	264	9	)	)	PUNCT
ejpam-3455	264	10	]	]	PUNCT
ejpam-3455	265	1	.(28	.(28	PROPN
ejpam-3455	265	2	)	)	PUNCT
ejpam-3455	265	3	τc(y	τc(y	PUNCT
ejpam-3455	265	4	,	,	PUNCT
ejpam-3455	265	5	t	t	PROPN
ejpam-3455	265	6	)	)	PUNCT
ejpam-3455	265	7	=	=	SYM
ejpam-3455	265	8	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	265	9	ν	ν	PROPN
ejpam-3455	265	10	∞∑	∞∑	PROPN
ejpam-3455	265	11	i=0	i=0	PROPN
ejpam-3455	265	12	(	(	PUNCT
ejpam-3455	265	13	−1)i	−1)i	X
ejpam-3455	265	14	∞∑	∞∑	NUM
ejpam-3455	265	15	j=0	j=0	PROPN
ejpam-3455	265	16	1	1	NUM
ejpam-3455	265	17	j	j	NOUN
ejpam-3455	265	18	!	!	PUNCT
ejpam-3455	266	1	(	(	PUNCT
ejpam-3455	266	2	θ1√	θ1√	NOUN
ejpam-3455	266	3	ν	ν	NOUN
ejpam-3455	266	4	)	)	PUNCT
ejpam-3455	266	5	i−j	i−j	PROPN
ejpam-3455	266	6	(	(	PUNCT
ejpam-3455	266	7	−θ2	−θ2	PROPN
ejpam-3455	266	8	ν	ν	PROPN
ejpam-3455	266	9	)	)	PUNCT
ejpam-3455	267	1	j	j	PROPN
ejpam-3455	267	2	×	×	NOUN
ejpam-3455	267	3	∞∑	∞∑	PROPN
ejpam-3455	267	4	k=0	k=0	PROPN
ejpam-3455	267	5	1	1	NUM
ejpam-3455	267	6	k	k	NOUN
ejpam-3455	267	7	!	!	PUNCT
ejpam-3455	268	1	(	(	PUNCT
ejpam-3455	268	2	−	−	PROPN
ejpam-3455	268	3	y√	y√	NOUN
ejpam-3455	268	4	ν	ν	NOUN
ejpam-3455	268	5	)	)	PUNCT
ejpam-3455	269	1	k	k	PROPN
ejpam-3455	269	2	∞∑	∞∑	NUM
ejpam-3455	269	3	l=0	l=0	PROPN
ejpam-3455	269	4	(	(	PUNCT
ejpam-3455	269	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	269	6	l	l	NOUN
ejpam-3455	269	7	!	!	PUNCT
ejpam-3455	270	1	∞∑	∞∑	ADJ
ejpam-3455	270	2	m=0	m=0	PROPN
ejpam-3455	270	3	(	(	PUNCT
ejpam-3455	270	4	−m)m	−m)m	NOUN
ejpam-3455	270	5	m	m	VERB
ejpam-3455	270	6	!	!	PUNCT
ejpam-3455	271	1	∞∑	∞∑	ADJ
ejpam-3455	271	2	n=0	n=0	NUM
ejpam-3455	271	3	(	(	PUNCT
ejpam-3455	271	4	−ω2)nλ	−ω2)nλ	NOUN
ejpam-3455	271	5	(	(	PUNCT
ejpam-3455	271	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	271	7	2	2	NUM
ejpam-3455	271	8	−l	−l	NOUN
ejpam-3455	271	9	)	)	PUNCT
ejpam-3455	271	10	×m1,4	×m1,4	ADP
ejpam-3455	271	11	4,6	4,6	NUM
ejpam-3455	271	12	[	[	PUNCT
ejpam-3455	271	13	t	t	X
ejpam-3455	271	14	λ	λ	X
ejpam-3455	271	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	271	16	+	+	X
ejpam-3455	271	17	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	271	18	2	2	NUM
ejpam-3455	271	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	271	20	+	+	NOUN
ejpam-3455	271	21	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	271	22	2	2	NUM
ejpam-3455	271	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	271	24	+	+	NUM
ejpam-3455	271	25	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	271	26	2	2	NUM
ejpam-3455	271	27	−l,1	−l,1	PROPN
ejpam-3455	271	28	)	)	PUNCT
ejpam-3455	271	29	(	(	PUNCT
ejpam-3455	271	30	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	271	31	+	+	CCONJ
ejpam-3455	271	32	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	271	33	2	2	NUM
ejpam-3455	271	34	,	,	PUNCT
ejpam-3455	271	35	0),(1	0),(1	PROPN
ejpam-3455	272	1	+	+	CCONJ
ejpam-3455	272	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	272	3	2	2	NUM
ejpam-3455	272	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	272	5	+	+	NUM
ejpam-3455	272	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	272	7	2	2	NUM
ejpam-3455	272	8	−l,0),(i+j+k−2l−m−2n,1	−l,0),(i+j+k−2l−m−2n,1	NOUN
ejpam-3455	272	9	)	)	PUNCT
ejpam-3455	272	10	]	]	PUNCT
ejpam-3455	272	11	.	.	PUNCT
ejpam-3455	273	1	(	(	PUNCT
ejpam-3455	273	2	29	29	NUM
ejpam-3455	273	3	)	)	PUNCT
ejpam-3455	273	4	m.	m.	NOUN
ejpam-3455	273	5	jamil	jamil	PROPN
ejpam-3455	273	6	,	,	PUNCT
ejpam-3455	273	7	i.	i.	PROPN
ejpam-3455	273	8	ahmed	ahmed	PROPN
ejpam-3455	273	9	/	/	PUNCT
ejpam-3455	273	10	eur	eur	PROPN
ejpam-3455	273	11	.	.	PUNCT
ejpam-3455	274	1	j.	j.	PROPN
ejpam-3455	274	2	pure	pure	PROPN
ejpam-3455	274	3	appl	appl	PROPN
ejpam-3455	274	4	.	.	PROPN
ejpam-3455	274	5	math	math	PROPN
ejpam-3455	274	6	,	,	PUNCT
ejpam-3455	274	7	12	12	NUM
ejpam-3455	274	8	(	(	PUNCT
ejpam-3455	274	9	3	3	NUM
ejpam-3455	274	10	)	)	PUNCT
ejpam-3455	274	11	(	(	PUNCT
ejpam-3455	274	12	2019	2019	NUM
ejpam-3455	274	13	)	)	PUNCT
ejpam-3455	274	14	,	,	PUNCT
ejpam-3455	274	15	1018	1018	NUM
ejpam-3455	274	16	-	-	SYM
ejpam-3455	274	17	1051	1051	NUM
ejpam-3455	274	18	1030	1030	NUM
ejpam-3455	274	19	4.2	4.2	NUM
ejpam-3455	274	20	.	.	PUNCT
ejpam-3455	275	1	fractionalized	fractionalize	VERB
ejpam-3455	275	2	maxwell	maxwell	PROPN
ejpam-3455	275	3	fluid	fluid	NOUN
ejpam-3455	275	4	in	in	ADP
ejpam-3455	275	5	porous	porous	ADJ
ejpam-3455	275	6	medium	medium	NOUN
ejpam-3455	275	7	when	when	SCONJ
ejpam-3455	275	8	m	m	VERB
ejpam-3455	275	9	→	→	SYM
ejpam-3455	275	10	0	0	NUM
ejpam-3455	275	11	,	,	PUNCT
ejpam-3455	275	12	the	the	DET
ejpam-3455	275	13	eq	eq	NOUN
ejpam-3455	275	14	.	.	PUNCT
ejpam-3455	275	15	(	(	PUNCT
ejpam-3455	275	16	17	17	NUM
ejpam-3455	275	17	)	)	PUNCT
ejpam-3455	275	18	,	,	PUNCT
ejpam-3455	275	19	(	(	PUNCT
ejpam-3455	275	20	19	19	NUM
ejpam-3455	275	21	)	)	PUNCT
ejpam-3455	275	22	,	,	PUNCT
ejpam-3455	275	23	(	(	PUNCT
ejpam-3455	275	24	24	24	NUM
ejpam-3455	275	25	)	)	PUNCT
ejpam-3455	275	26	,	,	PUNCT
ejpam-3455	275	27	(	(	PUNCT
ejpam-3455	275	28	25	25	NUM
ejpam-3455	275	29	)	)	PUNCT
ejpam-3455	275	30	reduces	reduce	VERB
ejpam-3455	275	31	to	to	ADP
ejpam-3455	275	32	us(y	us(y	SYM
ejpam-3455	275	33	,	,	PUNCT
ejpam-3455	275	34	t	t	PROPN
ejpam-3455	275	35	)	)	PUNCT
ejpam-3455	275	36	=	=	SYM
ejpam-3455	275	37	u	u	NOUN
ejpam-3455	275	38	sin(ωt	sin(ωt	NOUN
ejpam-3455	275	39	)	)	PUNCT
ejpam-3455	276	1	+	+	CCONJ
ejpam-3455	276	2	uω	uω	ADV
ejpam-3455	276	3	∞∑	∞∑	NUM
ejpam-3455	276	4	i=1	i=1	PRON
ejpam-3455	276	5	(	(	PUNCT
ejpam-3455	276	6	−1)i	−1)i	X
ejpam-3455	276	7	∞∑	∞∑	NUM
ejpam-3455	276	8	j=0	j=0	PROPN
ejpam-3455	276	9	1	1	NUM
ejpam-3455	276	10	j	j	NOUN
ejpam-3455	276	11	!	!	PUNCT
ejpam-3455	277	1	(	(	PUNCT
ejpam-3455	277	2	θ1√	θ1√	NOUN
ejpam-3455	277	3	ν	ν	NOUN
ejpam-3455	277	4	)	)	PUNCT
ejpam-3455	277	5	i−j	i−j	PROPN
ejpam-3455	277	6	(	(	PUNCT
ejpam-3455	277	7	−θ2	−θ2	PROPN
ejpam-3455	277	8	ν	ν	PROPN
ejpam-3455	277	9	)	)	PUNCT
ejpam-3455	278	1	j	j	PROPN
ejpam-3455	278	2	∞∑	∞∑	NUM
ejpam-3455	278	3	l=0	l=0	PROPN
ejpam-3455	278	4	(	(	PUNCT
ejpam-3455	278	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	278	6	l	l	NOUN
ejpam-3455	278	7	!	!	PUNCT
ejpam-3455	279	1	∞∑	∞∑	ADJ
ejpam-3455	279	2	n=0	n=0	NUM
ejpam-3455	279	3	(	(	PUNCT
ejpam-3455	279	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	279	5	(	(	PUNCT
ejpam-3455	279	6	i+j	i+j	NUM
ejpam-3455	279	7	2	2	NUM
ejpam-3455	279	8	−l	−l	NOUN
ejpam-3455	279	9	)	)	PUNCT
ejpam-3455	279	10	×m1,3	×m1,3	PROPN
ejpam-3455	279	11	3,5	3,5	NUM
ejpam-3455	279	12	[	[	PUNCT
ejpam-3455	279	13	tα	tα	PROPN
ejpam-3455	279	14	λα	λα	PROPN
ejpam-3455	279	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	279	16	+	+	CCONJ
ejpam-3455	279	17	i+j	i+j	NUM
ejpam-3455	279	18	2	2	NUM
ejpam-3455	279	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	279	20	+	+	NUM
ejpam-3455	279	21	i+j	i+j	NUM
ejpam-3455	279	22	2	2	NUM
ejpam-3455	279	23	−l,1	−l,1	PROPN
ejpam-3455	279	24	)	)	PUNCT
ejpam-3455	279	25	(	(	PUNCT
ejpam-3455	279	26	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	279	27	+	+	CCONJ
ejpam-3455	279	28	i+j	i+j	NUM
ejpam-3455	279	29	2	2	NUM
ejpam-3455	279	30	,	,	PUNCT
ejpam-3455	279	31	0),(1	0),(1	PROPN
ejpam-3455	279	32	+	+	CCONJ
ejpam-3455	279	33	i+j	i+j	NUM
ejpam-3455	279	34	2	2	NUM
ejpam-3455	279	35	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	279	36	)	)	PUNCT
ejpam-3455	279	37	(	(	PUNCT
ejpam-3455	279	38	i+j2	i+j2	NOUN
ejpam-3455	279	39	−l)−2n−1,α	−l)−2n−1,α	PROPN
ejpam-3455	279	40	)	)	PUNCT
ejpam-3455	279	41	]	]	PUNCT
ejpam-3455	280	1	+	+	ADP
ejpam-3455	280	2	uω	uω	ADV
ejpam-3455	280	3	∞∑	∞∑	PROPN
ejpam-3455	280	4	i=0	i=0	ADJ
ejpam-3455	280	5	(	(	PUNCT
ejpam-3455	280	6	−1)i	−1)i	X
ejpam-3455	280	7	∞∑	∞∑	NUM
ejpam-3455	280	8	j=0	j=0	PROPN
ejpam-3455	280	9	1	1	NUM
ejpam-3455	280	10	j	j	NOUN
ejpam-3455	280	11	!	!	PUNCT
ejpam-3455	281	1	(	(	PUNCT
ejpam-3455	281	2	θ1√	θ1√	NOUN
ejpam-3455	281	3	ν	ν	NOUN
ejpam-3455	281	4	)	)	PUNCT
ejpam-3455	281	5	i−j	i−j	PROPN
ejpam-3455	281	6	(	(	PUNCT
ejpam-3455	281	7	−θ2	−θ2	PROPN
ejpam-3455	281	8	ν	ν	PROPN
ejpam-3455	281	9	)	)	PUNCT
ejpam-3455	282	1	j	j	PROPN
ejpam-3455	283	1	∞∑	∞∑	NUM
ejpam-3455	283	2	k=1	k=1	PROPN
ejpam-3455	283	3	1	1	NUM
ejpam-3455	283	4	k	k	NOUN
ejpam-3455	283	5	!	!	PUNCT
ejpam-3455	284	1	(	(	PUNCT
ejpam-3455	284	2	−	−	PROPN
ejpam-3455	284	3	y√	y√	NOUN
ejpam-3455	284	4	ν	ν	NOUN
ejpam-3455	284	5	)	)	PUNCT
ejpam-3455	285	1	k	k	PROPN
ejpam-3455	285	2	∞∑	∞∑	NUM
ejpam-3455	285	3	l=0	l=0	PROPN
ejpam-3455	285	4	(	(	PUNCT
ejpam-3455	285	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	285	6	l	l	NOUN
ejpam-3455	285	7	!	!	PUNCT
ejpam-3455	286	1	∞∑	∞∑	ADJ
ejpam-3455	286	2	n=0	n=0	NUM
ejpam-3455	286	3	(	(	PUNCT
ejpam-3455	286	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	286	5	(	(	PUNCT
ejpam-3455	286	6	i+j+k	i+j+k	NOUN
ejpam-3455	286	7	2	2	NUM
ejpam-3455	286	8	−l	−l	NOUN
ejpam-3455	286	9	)	)	PUNCT
ejpam-3455	286	10	×m1,3	×m1,3	PROPN
ejpam-3455	286	11	3,5	3,5	NUM
ejpam-3455	286	12	[	[	PUNCT
ejpam-3455	286	13	tα	tα	PROPN
ejpam-3455	286	14	λα	λα	PROPN
ejpam-3455	286	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	286	16	+	+	PROPN
ejpam-3455	286	17	i+j+k	i+j+k	NOUN
ejpam-3455	286	18	2	2	NUM
ejpam-3455	286	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	286	20	+	+	NOUN
ejpam-3455	286	21	i+j+k	i+j+k	NOUN
ejpam-3455	286	22	2	2	NUM
ejpam-3455	286	23	−l,1	−l,1	PROPN
ejpam-3455	286	24	)	)	PUNCT
ejpam-3455	286	25	(	(	PUNCT
ejpam-3455	286	26	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	286	27	+	+	CCONJ
ejpam-3455	286	28	i+j+k	i+j+k	NOUN
ejpam-3455	286	29	2	2	NUM
ejpam-3455	286	30	,	,	PUNCT
ejpam-3455	286	31	0),(1	0),(1	PROPN
ejpam-3455	287	1	+	+	CCONJ
ejpam-3455	287	2	i+j+k	i+j+k	NOUN
ejpam-3455	287	3	2	2	NUM
ejpam-3455	287	4	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	287	5	)	)	PUNCT
ejpam-3455	287	6	(	(	PUNCT
ejpam-3455	287	7	i+j+k2	i+j+k2	PROPN
ejpam-3455	287	8	−l)−2n−1,α	−l)−2n−1,α	PROPN
ejpam-3455	287	9	)	)	PUNCT
ejpam-3455	287	10	]	]	PUNCT
ejpam-3455	287	11	,	,	PUNCT
ejpam-3455	287	12	(	(	PUNCT
ejpam-3455	287	13	30	30	NUM
ejpam-3455	287	14	)	)	PUNCT
ejpam-3455	287	15	uc(y	uc(y	NOUN
ejpam-3455	287	16	,	,	PUNCT
ejpam-3455	287	17	t	t	PROPN
ejpam-3455	287	18	)	)	PUNCT
ejpam-3455	287	19	=	=	SYM
ejpam-3455	287	20	uh(t	uh(t	X
ejpam-3455	287	21	)	)	PUNCT
ejpam-3455	287	22	cos(ωt	cos(ωt	PRON
ejpam-3455	287	23	)	)	PUNCT
ejpam-3455	287	24	+	+	NOUN
ejpam-3455	287	25	uh(t	uh(t	X
ejpam-3455	287	26	)	)	PUNCT
ejpam-3455	287	27	∞∑	∞∑	NUM
ejpam-3455	287	28	i=1	i=1	X
ejpam-3455	287	29	(	(	PUNCT
ejpam-3455	287	30	−1)i	−1)i	X
ejpam-3455	287	31	∞∑	∞∑	NUM
ejpam-3455	287	32	j=0	j=0	PROPN
ejpam-3455	287	33	1	1	NUM
ejpam-3455	287	34	j	j	NOUN
ejpam-3455	287	35	!	!	PUNCT
ejpam-3455	288	1	(	(	PUNCT
ejpam-3455	288	2	θ1√	θ1√	NOUN
ejpam-3455	288	3	ν	ν	NOUN
ejpam-3455	288	4	)	)	PUNCT
ejpam-3455	288	5	i−j	i−j	PROPN
ejpam-3455	288	6	(	(	PUNCT
ejpam-3455	288	7	−θ2	−θ2	PROPN
ejpam-3455	288	8	ν	ν	PROPN
ejpam-3455	288	9	)	)	PUNCT
ejpam-3455	289	1	j	j	PROPN
ejpam-3455	289	2	∞∑	∞∑	NUM
ejpam-3455	289	3	l=0	l=0	PROPN
ejpam-3455	289	4	(	(	PUNCT
ejpam-3455	289	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	289	6	l	l	NOUN
ejpam-3455	289	7	!	!	PUNCT
ejpam-3455	290	1	∞∑	∞∑	ADJ
ejpam-3455	290	2	n=0	n=0	NUM
ejpam-3455	290	3	(	(	PUNCT
ejpam-3455	290	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	290	5	×λα	×λα	PROPN
ejpam-3455	290	6	(	(	PUNCT
ejpam-3455	290	7	i+j	i+j	NUM
ejpam-3455	290	8	2	2	NUM
ejpam-3455	290	9	−l)m1,3	−l)m1,3	NOUN
ejpam-3455	290	10	3,5	3,5	NUM
ejpam-3455	290	11	[	[	PUNCT
ejpam-3455	290	12	tα	tα	PROPN
ejpam-3455	290	13	λα	λα	PROPN
ejpam-3455	290	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	290	15	+	+	CCONJ
ejpam-3455	290	16	i+j	i+j	NUM
ejpam-3455	290	17	2	2	NUM
ejpam-3455	290	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	290	19	+	+	NUM
ejpam-3455	290	20	i+j	i+j	NUM
ejpam-3455	290	21	2	2	NUM
ejpam-3455	290	22	−l,1	−l,1	PROPN
ejpam-3455	290	23	)	)	PUNCT
ejpam-3455	290	24	(	(	PUNCT
ejpam-3455	290	25	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	290	26	+	+	CCONJ
ejpam-3455	290	27	i+j	i+j	NUM
ejpam-3455	290	28	2	2	NUM
ejpam-3455	290	29	,	,	PUNCT
ejpam-3455	290	30	0),(1	0),(1	PROPN
ejpam-3455	290	31	+	+	CCONJ
ejpam-3455	290	32	i+j	i+j	NUM
ejpam-3455	290	33	2	2	NUM
ejpam-3455	290	34	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	290	35	)	)	PUNCT
ejpam-3455	290	36	(	(	PUNCT
ejpam-3455	290	37	i+j2	i+j2	NOUN
ejpam-3455	290	38	−l)−2n	−l)−2n	PROPN
ejpam-3455	290	39	,	,	PUNCT
ejpam-3455	290	40	α	α	X
ejpam-3455	290	41	)	)	PUNCT
ejpam-3455	290	42	]	]	PUNCT
ejpam-3455	291	1	+	+	X
ejpam-3455	291	2	uh(t	uh(t	X
ejpam-3455	291	3	)	)	PUNCT
ejpam-3455	291	4	∞∑	∞∑	PROPN
ejpam-3455	291	5	i=0	i=0	PROPN
ejpam-3455	291	6	(	(	PUNCT
ejpam-3455	291	7	−1)i	−1)i	X
ejpam-3455	291	8	∞∑	∞∑	NUM
ejpam-3455	291	9	j=0	j=0	PROPN
ejpam-3455	291	10	1	1	NUM
ejpam-3455	291	11	j	j	NOUN
ejpam-3455	291	12	!	!	PUNCT
ejpam-3455	291	13	(	(	PUNCT
ejpam-3455	291	14	θ1√	θ1√	NOUN
ejpam-3455	291	15	ν	ν	NOUN
ejpam-3455	291	16	)	)	PUNCT
ejpam-3455	291	17	i−j	i−j	PROPN
ejpam-3455	291	18	(	(	PUNCT
ejpam-3455	291	19	−θ2	−θ2	PROPN
ejpam-3455	291	20	ν	ν	PROPN
ejpam-3455	291	21	)	)	PUNCT
ejpam-3455	291	22	j	j	PROPN
ejpam-3455	292	1	∞∑	∞∑	NUM
ejpam-3455	292	2	k=1	k=1	PROPN
ejpam-3455	292	3	1	1	NUM
ejpam-3455	292	4	k	k	NOUN
ejpam-3455	292	5	!	!	PUNCT
ejpam-3455	293	1	(	(	PUNCT
ejpam-3455	293	2	−	−	PROPN
ejpam-3455	293	3	y√	y√	NOUN
ejpam-3455	293	4	ν	ν	NOUN
ejpam-3455	293	5	)	)	PUNCT
ejpam-3455	294	1	k	k	PROPN
ejpam-3455	294	2	∞∑	∞∑	NUM
ejpam-3455	294	3	l=0	l=0	PROPN
ejpam-3455	294	4	(	(	PUNCT
ejpam-3455	294	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	294	6	l	l	NOUN
ejpam-3455	294	7	!	!	PUNCT
ejpam-3455	295	1	∞∑	∞∑	ADJ
ejpam-3455	295	2	n=0	n=0	NUM
ejpam-3455	295	3	(	(	PUNCT
ejpam-3455	295	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	295	5	×λα	×λα	PROPN
ejpam-3455	295	6	(	(	PUNCT
ejpam-3455	295	7	i+j+k	i+j+k	NOUN
ejpam-3455	295	8	2	2	NUM
ejpam-3455	295	9	−l)m1,3	−l)m1,3	NOUN
ejpam-3455	295	10	3,5	3,5	NUM
ejpam-3455	295	11	[	[	PUNCT
ejpam-3455	295	12	tα	tα	PROPN
ejpam-3455	295	13	λα	λα	PROPN
ejpam-3455	295	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	295	15	+	+	PROPN
ejpam-3455	295	16	i+j+k	i+j+k	NOUN
ejpam-3455	295	17	2	2	NUM
ejpam-3455	295	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	295	19	+	+	NOUN
ejpam-3455	295	20	i+j+k	i+j+k	NOUN
ejpam-3455	295	21	2	2	NUM
ejpam-3455	295	22	−l,1	−l,1	PROPN
ejpam-3455	295	23	)	)	PUNCT
ejpam-3455	295	24	(	(	PUNCT
ejpam-3455	295	25	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	295	26	+	+	CCONJ
ejpam-3455	295	27	i+j+k	i+j+k	NOUN
ejpam-3455	295	28	2	2	NUM
ejpam-3455	295	29	,	,	PUNCT
ejpam-3455	295	30	0),(1	0),(1	PROPN
ejpam-3455	296	1	+	+	CCONJ
ejpam-3455	296	2	i+j+k	i+j+k	NOUN
ejpam-3455	296	3	2	2	NUM
ejpam-3455	296	4	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	296	5	)	)	PUNCT
ejpam-3455	296	6	(	(	PUNCT
ejpam-3455	296	7	i+j+k2	i+j+k2	PROPN
ejpam-3455	296	8	−l)−2n	−l)−2n	PROPN
ejpam-3455	296	9	,	,	PUNCT
ejpam-3455	296	10	α	α	X
ejpam-3455	296	11	)	)	PUNCT
ejpam-3455	296	12	]	]	PUNCT
ejpam-3455	296	13	,	,	PUNCT
ejpam-3455	296	14	(	(	PUNCT
ejpam-3455	296	15	31	31	NUM
ejpam-3455	296	16	)	)	PUNCT
ejpam-3455	296	17	and	and	CCONJ
ejpam-3455	296	18	the	the	DET
ejpam-3455	296	19	associated	associated	ADJ
ejpam-3455	296	20	shear	shear	NOUN
ejpam-3455	296	21	stresses	stress	NOUN
ejpam-3455	296	22	are	be	AUX
ejpam-3455	296	23	τs(y	τs(y	NUM
ejpam-3455	296	24	,	,	PUNCT
ejpam-3455	296	25	t	t	PROPN
ejpam-3455	296	26	)	)	PUNCT
ejpam-3455	296	27	=	=	SYM
ejpam-3455	297	1	−uµω√	−uµω√	NUM
ejpam-3455	297	2	ν	ν	NOUN
ejpam-3455	297	3	∞∑	∞∑	PROPN
ejpam-3455	297	4	i=0	i=0	PROPN
ejpam-3455	297	5	(	(	PUNCT
ejpam-3455	297	6	−1)i	−1)i	X
ejpam-3455	297	7	∞∑	∞∑	NUM
ejpam-3455	297	8	j=0	j=0	PROPN
ejpam-3455	297	9	1	1	NUM
ejpam-3455	297	10	j	j	NOUN
ejpam-3455	297	11	!	!	PUNCT
ejpam-3455	298	1	(	(	PUNCT
ejpam-3455	298	2	θ1√	θ1√	NOUN
ejpam-3455	298	3	ν	ν	NOUN
ejpam-3455	298	4	)	)	PUNCT
ejpam-3455	298	5	i−j	i−j	PROPN
ejpam-3455	298	6	(	(	PUNCT
ejpam-3455	298	7	−θ2	−θ2	PROPN
ejpam-3455	298	8	ν	ν	PROPN
ejpam-3455	298	9	)	)	PUNCT
ejpam-3455	299	1	j	j	PROPN
ejpam-3455	299	2	∞∑	∞∑	PRON
ejpam-3455	299	3	k=0	k=0	PROPN
ejpam-3455	299	4	1	1	NUM
ejpam-3455	299	5	k	k	NOUN
ejpam-3455	299	6	!	!	PUNCT
ejpam-3455	300	1	(	(	PUNCT
ejpam-3455	300	2	−	−	PROPN
ejpam-3455	300	3	y√	y√	NOUN
ejpam-3455	300	4	ν	ν	NOUN
ejpam-3455	300	5	)	)	PUNCT
ejpam-3455	301	1	k	k	PROPN
ejpam-3455	301	2	∞∑	∞∑	NUM
ejpam-3455	301	3	l=0	l=0	PROPN
ejpam-3455	301	4	(	(	PUNCT
ejpam-3455	301	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	301	6	l	l	NOUN
ejpam-3455	301	7	!	!	PUNCT
ejpam-3455	302	1	∞∑	∞∑	ADJ
ejpam-3455	302	2	n=0	n=0	NUM
ejpam-3455	302	3	(	(	PUNCT
ejpam-3455	302	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	302	5	m.	m.	PROPN
ejpam-3455	302	6	jamil	jamil	PROPN
ejpam-3455	302	7	,	,	PUNCT
ejpam-3455	302	8	i.	i.	PROPN
ejpam-3455	302	9	ahmed	ahmed	PROPN
ejpam-3455	302	10	/	/	PUNCT
ejpam-3455	302	11	eur	eur	PROPN
ejpam-3455	302	12	.	.	PUNCT
ejpam-3455	303	1	j.	j.	PROPN
ejpam-3455	303	2	pure	pure	PROPN
ejpam-3455	303	3	appl	appl	PROPN
ejpam-3455	303	4	.	.	PROPN
ejpam-3455	303	5	math	math	PROPN
ejpam-3455	303	6	,	,	PUNCT
ejpam-3455	303	7	12	12	NUM
ejpam-3455	303	8	(	(	PUNCT
ejpam-3455	303	9	3	3	NUM
ejpam-3455	303	10	)	)	PUNCT
ejpam-3455	303	11	(	(	PUNCT
ejpam-3455	303	12	2019	2019	NUM
ejpam-3455	303	13	)	)	PUNCT
ejpam-3455	303	14	,	,	PUNCT
ejpam-3455	303	15	1018	1018	NUM
ejpam-3455	303	16	-	-	SYM
ejpam-3455	303	17	1051	1051	NUM
ejpam-3455	303	18	1031	1031	NUM
ejpam-3455	303	19	×λα	×λα	NOUN
ejpam-3455	303	20	(	(	PUNCT
ejpam-3455	303	21	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	303	22	2	2	NUM
ejpam-3455	303	23	−l)m1,3	−l)m1,3	NOUN
ejpam-3455	303	24	3,5	3,5	NUM
ejpam-3455	303	25	[	[	PUNCT
ejpam-3455	303	26	tα	tα	PROPN
ejpam-3455	303	27	λα	λα	PROPN
ejpam-3455	303	28	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	303	29	+	+	X
ejpam-3455	303	30	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	303	31	2	2	NUM
ejpam-3455	303	32	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	303	33	+	+	NUM
ejpam-3455	303	34	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	303	35	2	2	NUM
ejpam-3455	303	36	−l,1	−l,1	PROPN
ejpam-3455	303	37	)	)	PUNCT
ejpam-3455	303	38	(	(	PUNCT
ejpam-3455	303	39	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	303	40	+	+	CCONJ
ejpam-3455	303	41	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	303	42	2	2	NUM
ejpam-3455	303	43	,	,	PUNCT
ejpam-3455	303	44	0),(1	0),(1	PROPN
ejpam-3455	304	1	+	+	NUM
ejpam-3455	304	2	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	304	3	2	2	NUM
ejpam-3455	304	4	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	304	5	)	)	PUNCT
ejpam-3455	304	6	(	(	PUNCT
ejpam-3455	305	1	i+j+k2	i+j+k2	NOUN
ejpam-3455	305	2	−l)+	−l)+	NOUN
ejpam-3455	305	3	1	1	NUM
ejpam-3455	305	4	2	2	NUM
ejpam-3455	305	5	(	(	PUNCT
ejpam-3455	305	6	1−α)−2n−1,α	1−α)−2n−1,α	NUM
ejpam-3455	305	7	)	)	PUNCT
ejpam-3455	305	8	]	]	PUNCT
ejpam-3455	305	9	,	,	PUNCT
ejpam-3455	305	10	(	(	PUNCT
ejpam-3455	305	11	32	32	NUM
ejpam-3455	305	12	)	)	PUNCT
ejpam-3455	305	13	τc(y	τc(y	PUNCT
ejpam-3455	305	14	,	,	PUNCT
ejpam-3455	305	15	t	t	PROPN
ejpam-3455	305	16	)	)	PUNCT
ejpam-3455	305	17	=	=	SYM
ejpam-3455	305	18	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	305	19	ν	ν	PROPN
ejpam-3455	305	20	∞∑	∞∑	PROPN
ejpam-3455	305	21	i=0	i=0	PROPN
ejpam-3455	305	22	(	(	PUNCT
ejpam-3455	305	23	−1)i	−1)i	X
ejpam-3455	305	24	∞∑	∞∑	NUM
ejpam-3455	305	25	j=0	j=0	PROPN
ejpam-3455	305	26	1	1	NUM
ejpam-3455	305	27	j	j	NOUN
ejpam-3455	305	28	!	!	PUNCT
ejpam-3455	306	1	(	(	PUNCT
ejpam-3455	306	2	θ1√	θ1√	NOUN
ejpam-3455	306	3	ν	ν	NOUN
ejpam-3455	306	4	)	)	PUNCT
ejpam-3455	306	5	i−j	i−j	PROPN
ejpam-3455	306	6	(	(	PUNCT
ejpam-3455	306	7	−θ2	−θ2	PROPN
ejpam-3455	306	8	ν	ν	PROPN
ejpam-3455	306	9	)	)	PUNCT
ejpam-3455	307	1	j	j	PROPN
ejpam-3455	307	2	∞∑	∞∑	PRON
ejpam-3455	307	3	k=0	k=0	PROPN
ejpam-3455	307	4	1	1	NUM
ejpam-3455	307	5	k	k	NOUN
ejpam-3455	307	6	!	!	PUNCT
ejpam-3455	308	1	(	(	PUNCT
ejpam-3455	308	2	−	−	PROPN
ejpam-3455	308	3	y√	y√	NOUN
ejpam-3455	308	4	ν	ν	NOUN
ejpam-3455	308	5	)	)	PUNCT
ejpam-3455	309	1	k	k	PROPN
ejpam-3455	309	2	∞∑	∞∑	NUM
ejpam-3455	309	3	l=0	l=0	PROPN
ejpam-3455	309	4	(	(	PUNCT
ejpam-3455	309	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	309	6	l	l	NOUN
ejpam-3455	309	7	!	!	PUNCT
ejpam-3455	310	1	∞∑	∞∑	ADJ
ejpam-3455	310	2	n=0	n=0	NUM
ejpam-3455	310	3	(	(	PUNCT
ejpam-3455	310	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	310	5	×λα	×λα	PROPN
ejpam-3455	310	6	(	(	PUNCT
ejpam-3455	310	7	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	310	8	2	2	NUM
ejpam-3455	310	9	−l)m1,3	−l)m1,3	NOUN
ejpam-3455	310	10	3,5	3,5	NUM
ejpam-3455	310	11	[	[	PUNCT
ejpam-3455	310	12	tα	tα	PROPN
ejpam-3455	310	13	λα	λα	PROPN
ejpam-3455	310	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	310	15	+	+	X
ejpam-3455	310	16	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	310	17	2	2	NUM
ejpam-3455	310	18	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	310	19	+	+	NUM
ejpam-3455	310	20	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	310	21	2	2	NUM
ejpam-3455	310	22	−l,1	−l,1	PROPN
ejpam-3455	310	23	)	)	PUNCT
ejpam-3455	310	24	(	(	PUNCT
ejpam-3455	310	25	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	310	26	+	+	CCONJ
ejpam-3455	310	27	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	310	28	2	2	NUM
ejpam-3455	310	29	,	,	PUNCT
ejpam-3455	310	30	0),(1	0),(1	PROPN
ejpam-3455	311	1	+	+	NUM
ejpam-3455	311	2	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	311	3	2	2	NUM
ejpam-3455	311	4	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	311	5	)	)	PUNCT
ejpam-3455	311	6	(	(	PUNCT
ejpam-3455	312	1	i+j+k2	i+j+k2	NOUN
ejpam-3455	312	2	−l)+	−l)+	NOUN
ejpam-3455	312	3	1	1	NUM
ejpam-3455	312	4	2	2	NUM
ejpam-3455	312	5	(	(	PUNCT
ejpam-3455	312	6	1−α)−2n	1−α)−2n	NUM
ejpam-3455	312	7	,	,	PUNCT
ejpam-3455	312	8	α	α	NOUN
ejpam-3455	312	9	)	)	PUNCT
ejpam-3455	312	10	]	]	PUNCT
ejpam-3455	312	11	.(33	.(33	PUNCT
ejpam-3455	312	12	)	)	PUNCT
ejpam-3455	312	13	4.3	4.3	NUM
ejpam-3455	312	14	.	.	PUNCT
ejpam-3455	312	15	fractionalized	fractionalize	VERB
ejpam-3455	312	16	mhd	mhd	PROPN
ejpam-3455	312	17	maxwell	maxwell	PROPN
ejpam-3455	312	18	fluid	fluid	PROPN
ejpam-3455	312	19	without	without	ADP
ejpam-3455	312	20	porous	porous	ADJ
ejpam-3455	312	21	effect	effect	NOUN
ejpam-3455	312	22	putting	put	VERB
ejpam-3455	312	23	ψ→	ψ→	NOUN
ejpam-3455	312	24	0	0	NUM
ejpam-3455	312	25	,	,	PUNCT
ejpam-3455	312	26	the	the	DET
ejpam-3455	312	27	eq	eq	NOUN
ejpam-3455	312	28	.	.	PUNCT
ejpam-3455	312	29	(	(	PUNCT
ejpam-3455	312	30	17	17	NUM
ejpam-3455	312	31	)	)	PUNCT
ejpam-3455	312	32	,	,	PUNCT
ejpam-3455	312	33	(	(	PUNCT
ejpam-3455	312	34	19	19	NUM
ejpam-3455	312	35	)	)	PUNCT
ejpam-3455	312	36	,	,	PUNCT
ejpam-3455	312	37	(	(	PUNCT
ejpam-3455	312	38	24	24	NUM
ejpam-3455	312	39	)	)	PUNCT
ejpam-3455	312	40	,	,	PUNCT
ejpam-3455	312	41	(	(	PUNCT
ejpam-3455	312	42	25	25	NUM
ejpam-3455	312	43	)	)	PUNCT
ejpam-3455	312	44	simplified	simplify	VERB
ejpam-3455	312	45	into	into	ADP
ejpam-3455	312	46	us(y	us(y	PROPN
ejpam-3455	312	47	,	,	PUNCT
ejpam-3455	312	48	t	t	PROPN
ejpam-3455	312	49	)	)	PUNCT
ejpam-3455	312	50	=	=	SYM
ejpam-3455	312	51	u	u	NOUN
ejpam-3455	312	52	sin(ωt	sin(ωt	NOUN
ejpam-3455	312	53	)	)	PUNCT
ejpam-3455	312	54	+	+	CCONJ
ejpam-3455	313	1	uω	uω	ADV
ejpam-3455	313	2	∞∑	∞∑	NUM
ejpam-3455	313	3	i=1	i=1	PRON
ejpam-3455	313	4	(	(	PUNCT
ejpam-3455	313	5	−1)i	−1)i	X
ejpam-3455	313	6	∞∑	∞∑	NUM
ejpam-3455	313	7	j=0	j=0	PROPN
ejpam-3455	313	8	1	1	NUM
ejpam-3455	313	9	j	j	NOUN
ejpam-3455	313	10	!	!	PUNCT
ejpam-3455	314	1	(	(	PUNCT
ejpam-3455	314	2	θ1√	θ1√	NOUN
ejpam-3455	314	3	ν	ν	NOUN
ejpam-3455	314	4	)	)	PUNCT
ejpam-3455	314	5	i−j	i−j	PROPN
ejpam-3455	314	6	(	(	PUNCT
ejpam-3455	314	7	−θ2	−θ2	PROPN
ejpam-3455	314	8	ν	ν	PROPN
ejpam-3455	314	9	)	)	PUNCT
ejpam-3455	315	1	j	j	PROPN
ejpam-3455	315	2	∞∑	∞∑	PROPN
ejpam-3455	315	3	m=0	m=0	PROPN
ejpam-3455	315	4	(	(	PUNCT
ejpam-3455	315	5	−m)m	−m)m	NOUN
ejpam-3455	315	6	m	m	VERB
ejpam-3455	315	7	!	!	PUNCT
ejpam-3455	316	1	∞∑	∞∑	ADJ
ejpam-3455	316	2	n=0	n=0	NUM
ejpam-3455	316	3	(	(	PUNCT
ejpam-3455	316	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	316	5	×λα	×λα	PROPN
ejpam-3455	316	6	(	(	PUNCT
ejpam-3455	316	7	i+j	i+j	NUM
ejpam-3455	316	8	2	2	X
ejpam-3455	316	9	)	)	PUNCT
ejpam-3455	316	10	m1,3	m1,3	NOUN
ejpam-3455	316	11	3,5	3,5	NUM
ejpam-3455	316	12	[	[	PUNCT
ejpam-3455	316	13	tα	tα	PROPN
ejpam-3455	316	14	λα	λα	PROPN
ejpam-3455	316	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	316	16	+	+	CCONJ
ejpam-3455	316	17	i+j	i+j	NUM
ejpam-3455	316	18	2	2	NUM
ejpam-3455	316	19	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	316	20	+	+	NUM
ejpam-3455	316	21	i+j	i+j	NUM
ejpam-3455	316	22	2	2	NUM
ejpam-3455	316	23	,	,	PUNCT
ejpam-3455	316	24	1	1	NUM
ejpam-3455	316	25	)	)	PUNCT
ejpam-3455	316	26	(	(	PUNCT
ejpam-3455	316	27	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	316	28	+	+	CCONJ
ejpam-3455	316	29	i+j	i+j	NUM
ejpam-3455	316	30	2	2	NUM
ejpam-3455	316	31	,	,	PUNCT
ejpam-3455	316	32	0),(1	0),(1	PROPN
ejpam-3455	316	33	+	+	CCONJ
ejpam-3455	316	34	i+j	i+j	NUM
ejpam-3455	316	35	2	2	NUM
ejpam-3455	316	36	,	,	PUNCT
ejpam-3455	316	37	0),((1+α	0),((1+α	NUM
ejpam-3455	316	38	)	)	PUNCT
ejpam-3455	316	39	(	(	PUNCT
ejpam-3455	316	40	i+j2	i+j2	NOUN
ejpam-3455	316	41	)	)	PUNCT
ejpam-3455	316	42	−m−2n−1,α	−m−2n−1,α	PROPN
ejpam-3455	316	43	)	)	PUNCT
ejpam-3455	316	44	]	]	PUNCT
ejpam-3455	317	1	+	+	ADP
ejpam-3455	317	2	uω	uω	ADV
ejpam-3455	317	3	∞∑	∞∑	PROPN
ejpam-3455	317	4	i=0	i=0	ADJ
ejpam-3455	317	5	(	(	PUNCT
ejpam-3455	317	6	−1)i	−1)i	X
ejpam-3455	317	7	∞∑	∞∑	NUM
ejpam-3455	317	8	j=0	j=0	PROPN
ejpam-3455	317	9	1	1	NUM
ejpam-3455	317	10	j	j	NOUN
ejpam-3455	317	11	!	!	PUNCT
ejpam-3455	318	1	(	(	PUNCT
ejpam-3455	318	2	θ1√	θ1√	NOUN
ejpam-3455	318	3	ν	ν	NOUN
ejpam-3455	318	4	)	)	PUNCT
ejpam-3455	318	5	i−j	i−j	PROPN
ejpam-3455	318	6	(	(	PUNCT
ejpam-3455	318	7	−θ2	−θ2	PROPN
ejpam-3455	318	8	ν	ν	PROPN
ejpam-3455	318	9	)	)	PUNCT
ejpam-3455	319	1	j	j	PROPN
ejpam-3455	320	1	∞∑	∞∑	NUM
ejpam-3455	320	2	k=1	k=1	PROPN
ejpam-3455	320	3	1	1	NUM
ejpam-3455	320	4	k	k	NOUN
ejpam-3455	320	5	!	!	PUNCT
ejpam-3455	321	1	(	(	PUNCT
ejpam-3455	321	2	−	−	PROPN
ejpam-3455	321	3	y√	y√	NOUN
ejpam-3455	321	4	ν	ν	NOUN
ejpam-3455	321	5	)	)	PUNCT
ejpam-3455	322	1	k	k	PROPN
ejpam-3455	322	2	∞∑	∞∑	PROPN
ejpam-3455	322	3	m=0	m=0	PROPN
ejpam-3455	322	4	(	(	PUNCT
ejpam-3455	322	5	−m)m	−m)m	NOUN
ejpam-3455	322	6	m	m	VERB
ejpam-3455	322	7	!	!	PUNCT
ejpam-3455	323	1	∞∑	∞∑	ADJ
ejpam-3455	323	2	n=0	n=0	NUM
ejpam-3455	323	3	(	(	PUNCT
ejpam-3455	323	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	323	5	(	(	PUNCT
ejpam-3455	323	6	i+j+k	i+j+k	NOUN
ejpam-3455	323	7	2	2	NUM
ejpam-3455	323	8	)	)	PUNCT
ejpam-3455	323	9	×m1,3	×m1,3	PROPN
ejpam-3455	323	10	3,5	3,5	NUM
ejpam-3455	323	11	[	[	PUNCT
ejpam-3455	323	12	tα	tα	PROPN
ejpam-3455	323	13	λα	λα	PROPN
ejpam-3455	323	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	323	15	+	+	PROPN
ejpam-3455	323	16	i+j+k	i+j+k	NOUN
ejpam-3455	323	17	2	2	NUM
ejpam-3455	323	18	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	323	19	+	+	NOUN
ejpam-3455	323	20	i+j+k	i+j+k	NOUN
ejpam-3455	323	21	2	2	NUM
ejpam-3455	323	22	,	,	PUNCT
ejpam-3455	323	23	1	1	NUM
ejpam-3455	323	24	)	)	PUNCT
ejpam-3455	323	25	(	(	PUNCT
ejpam-3455	323	26	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	323	27	+	+	CCONJ
ejpam-3455	323	28	i+j+k	i+j+k	NOUN
ejpam-3455	323	29	2	2	NUM
ejpam-3455	323	30	,	,	PUNCT
ejpam-3455	323	31	0),(1	0),(1	PROPN
ejpam-3455	323	32	+	+	CCONJ
ejpam-3455	323	33	i+j+k	i+j+k	NOUN
ejpam-3455	323	34	2	2	NUM
ejpam-3455	323	35	,	,	PUNCT
ejpam-3455	323	36	0),((1+α	0),((1+α	NUM
ejpam-3455	323	37	)	)	PUNCT
ejpam-3455	323	38	(	(	PUNCT
ejpam-3455	323	39	i+j+k2	i+j+k2	NOUN
ejpam-3455	323	40	)	)	PUNCT
ejpam-3455	323	41	−m−2n−1,α	−m−2n−1,α	PROPN
ejpam-3455	323	42	)	)	PUNCT
ejpam-3455	323	43	]	]	PUNCT
ejpam-3455	323	44	,	,	PUNCT
ejpam-3455	323	45	(	(	PUNCT
ejpam-3455	323	46	34	34	NUM
ejpam-3455	323	47	)	)	PUNCT
ejpam-3455	323	48	uc(y	uc(y	NOUN
ejpam-3455	323	49	,	,	PUNCT
ejpam-3455	323	50	t	t	PROPN
ejpam-3455	323	51	)	)	PUNCT
ejpam-3455	323	52	=	=	SYM
ejpam-3455	323	53	uh(t	uh(t	X
ejpam-3455	323	54	)	)	PUNCT
ejpam-3455	323	55	cos(ωt	cos(ωt	PRON
ejpam-3455	323	56	)	)	PUNCT
ejpam-3455	323	57	+	+	NOUN
ejpam-3455	323	58	uh(t	uh(t	X
ejpam-3455	323	59	)	)	PUNCT
ejpam-3455	324	1	∞∑	∞∑	NUM
ejpam-3455	324	2	i=1	i=1	X
ejpam-3455	324	3	(	(	PUNCT
ejpam-3455	324	4	−1)i	−1)i	X
ejpam-3455	324	5	∞∑	∞∑	NUM
ejpam-3455	324	6	j=0	j=0	PROPN
ejpam-3455	324	7	1	1	NUM
ejpam-3455	324	8	j	j	NOUN
ejpam-3455	324	9	!	!	PUNCT
ejpam-3455	325	1	(	(	PUNCT
ejpam-3455	325	2	θ1√	θ1√	NOUN
ejpam-3455	325	3	ν	ν	NOUN
ejpam-3455	325	4	)	)	PUNCT
ejpam-3455	325	5	i−j	i−j	PROPN
ejpam-3455	325	6	(	(	PUNCT
ejpam-3455	325	7	−θ2	−θ2	PROPN
ejpam-3455	325	8	ν	ν	PROPN
ejpam-3455	325	9	)	)	PUNCT
ejpam-3455	326	1	j	j	PROPN
ejpam-3455	326	2	∞∑	∞∑	PROPN
ejpam-3455	326	3	m=0	m=0	PROPN
ejpam-3455	326	4	(	(	PUNCT
ejpam-3455	326	5	−m)m	−m)m	NOUN
ejpam-3455	326	6	m	m	VERB
ejpam-3455	326	7	!	!	PUNCT
ejpam-3455	327	1	∞∑	∞∑	ADJ
ejpam-3455	327	2	n=0	n=0	NUM
ejpam-3455	327	3	(	(	PUNCT
ejpam-3455	327	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	327	5	×λα	×λα	PROPN
ejpam-3455	327	6	(	(	PUNCT
ejpam-3455	327	7	i+j	i+j	NUM
ejpam-3455	327	8	2	2	X
ejpam-3455	327	9	)	)	PUNCT
ejpam-3455	327	10	m1,3	m1,3	NOUN
ejpam-3455	327	11	3,5	3,5	NUM
ejpam-3455	327	12	[	[	PUNCT
ejpam-3455	327	13	tα	tα	PROPN
ejpam-3455	327	14	λα	λα	PROPN
ejpam-3455	327	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	327	16	+	+	CCONJ
ejpam-3455	327	17	i+j	i+j	NUM
ejpam-3455	327	18	2	2	NUM
ejpam-3455	327	19	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	327	20	+	+	NUM
ejpam-3455	327	21	i+j	i+j	NUM
ejpam-3455	327	22	2	2	NUM
ejpam-3455	327	23	,	,	PUNCT
ejpam-3455	327	24	1	1	NUM
ejpam-3455	327	25	)	)	PUNCT
ejpam-3455	327	26	(	(	PUNCT
ejpam-3455	327	27	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	327	28	+	+	CCONJ
ejpam-3455	327	29	i+j	i+j	NUM
ejpam-3455	327	30	2	2	NUM
ejpam-3455	327	31	,	,	PUNCT
ejpam-3455	327	32	0),(1	0),(1	PROPN
ejpam-3455	327	33	+	+	CCONJ
ejpam-3455	327	34	i+j	i+j	NUM
ejpam-3455	327	35	2	2	NUM
ejpam-3455	327	36	,	,	PUNCT
ejpam-3455	327	37	0),((1+α	0),((1+α	NUM
ejpam-3455	327	38	)	)	PUNCT
ejpam-3455	327	39	(	(	PUNCT
ejpam-3455	327	40	i+j2	i+j2	NOUN
ejpam-3455	327	41	)	)	PUNCT
ejpam-3455	327	42	−m−2n	−m−2n	PROPN
ejpam-3455	327	43	,	,	PUNCT
ejpam-3455	327	44	α	α	NOUN
ejpam-3455	327	45	)	)	PUNCT
ejpam-3455	327	46	]	]	PUNCT
ejpam-3455	327	47	m.	m.	PROPN
ejpam-3455	327	48	jamil	jamil	PROPN
ejpam-3455	327	49	,	,	PUNCT
ejpam-3455	327	50	i.	i.	PROPN
ejpam-3455	327	51	ahmed	ahmed	PROPN
ejpam-3455	327	52	/	/	PUNCT
ejpam-3455	327	53	eur	eur	PROPN
ejpam-3455	327	54	.	.	PUNCT
ejpam-3455	328	1	j.	j.	PROPN
ejpam-3455	328	2	pure	pure	PROPN
ejpam-3455	328	3	appl	appl	PROPN
ejpam-3455	328	4	.	.	PROPN
ejpam-3455	328	5	math	math	PROPN
ejpam-3455	328	6	,	,	PUNCT
ejpam-3455	328	7	12	12	NUM
ejpam-3455	328	8	(	(	PUNCT
ejpam-3455	328	9	3	3	NUM
ejpam-3455	328	10	)	)	PUNCT
ejpam-3455	328	11	(	(	PUNCT
ejpam-3455	328	12	2019	2019	NUM
ejpam-3455	328	13	)	)	PUNCT
ejpam-3455	328	14	,	,	PUNCT
ejpam-3455	328	15	1018	1018	NUM
ejpam-3455	328	16	-	-	SYM
ejpam-3455	328	17	1051	1051	NUM
ejpam-3455	328	18	1032	1032	NUM
ejpam-3455	328	19	+	+	NOUN
ejpam-3455	328	20	uh(t	uh(t	X
ejpam-3455	328	21	)	)	PUNCT
ejpam-3455	328	22	∞∑	∞∑	PROPN
ejpam-3455	328	23	i=0	i=0	PROPN
ejpam-3455	328	24	(	(	PUNCT
ejpam-3455	328	25	−1)i	−1)i	X
ejpam-3455	328	26	∞∑	∞∑	NUM
ejpam-3455	328	27	j=0	j=0	PROPN
ejpam-3455	328	28	1	1	NUM
ejpam-3455	328	29	j	j	NOUN
ejpam-3455	328	30	!	!	PUNCT
ejpam-3455	328	31	(	(	PUNCT
ejpam-3455	328	32	θ1√	θ1√	NOUN
ejpam-3455	328	33	ν	ν	NOUN
ejpam-3455	328	34	)	)	PUNCT
ejpam-3455	328	35	i−j	i−j	PROPN
ejpam-3455	328	36	(	(	PUNCT
ejpam-3455	328	37	−θ2	−θ2	PROPN
ejpam-3455	328	38	ν	ν	PROPN
ejpam-3455	328	39	)	)	PUNCT
ejpam-3455	329	1	j	j	PROPN
ejpam-3455	330	1	∞∑	∞∑	NUM
ejpam-3455	330	2	k=1	k=1	PROPN
ejpam-3455	330	3	1	1	NUM
ejpam-3455	330	4	k	k	NOUN
ejpam-3455	330	5	!	!	PUNCT
ejpam-3455	331	1	(	(	PUNCT
ejpam-3455	331	2	−	−	PROPN
ejpam-3455	331	3	y√	y√	NOUN
ejpam-3455	331	4	ν	ν	NOUN
ejpam-3455	331	5	)	)	PUNCT
ejpam-3455	332	1	k	k	PROPN
ejpam-3455	332	2	∞∑	∞∑	PROPN
ejpam-3455	332	3	m=0	m=0	PROPN
ejpam-3455	332	4	(	(	PUNCT
ejpam-3455	332	5	−m)m	−m)m	NOUN
ejpam-3455	332	6	m	m	VERB
ejpam-3455	332	7	!	!	PUNCT
ejpam-3455	333	1	∞∑	∞∑	ADJ
ejpam-3455	333	2	n=0	n=0	NUM
ejpam-3455	333	3	(	(	PUNCT
ejpam-3455	333	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	333	5	(	(	PUNCT
ejpam-3455	333	6	i+j+k	i+j+k	NOUN
ejpam-3455	333	7	2	2	NUM
ejpam-3455	333	8	)	)	PUNCT
ejpam-3455	333	9	×m1,3	×m1,3	PROPN
ejpam-3455	333	10	3,5	3,5	NUM
ejpam-3455	333	11	[	[	PUNCT
ejpam-3455	333	12	tα	tα	PROPN
ejpam-3455	333	13	λα	λα	PROPN
ejpam-3455	333	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	333	15	+	+	PROPN
ejpam-3455	333	16	i+j+k	i+j+k	NOUN
ejpam-3455	333	17	2	2	NUM
ejpam-3455	333	18	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	333	19	+	+	NOUN
ejpam-3455	333	20	i+j+k	i+j+k	NOUN
ejpam-3455	333	21	2	2	NUM
ejpam-3455	333	22	,	,	PUNCT
ejpam-3455	333	23	1	1	NUM
ejpam-3455	333	24	)	)	PUNCT
ejpam-3455	333	25	(	(	PUNCT
ejpam-3455	333	26	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	333	27	+	+	CCONJ
ejpam-3455	333	28	i+j+k	i+j+k	NOUN
ejpam-3455	333	29	2	2	NUM
ejpam-3455	333	30	,	,	PUNCT
ejpam-3455	333	31	0),(1	0),(1	PROPN
ejpam-3455	333	32	+	+	CCONJ
ejpam-3455	333	33	i+j+k	i+j+k	NOUN
ejpam-3455	333	34	2	2	NUM
ejpam-3455	333	35	,	,	PUNCT
ejpam-3455	333	36	0),((1+α	0),((1+α	NUM
ejpam-3455	333	37	)	)	PUNCT
ejpam-3455	333	38	(	(	PUNCT
ejpam-3455	333	39	i+j+k2	i+j+k2	NOUN
ejpam-3455	333	40	)	)	PUNCT
ejpam-3455	333	41	−m−2n−1,α	−m−2n−1,α	PROPN
ejpam-3455	333	42	)	)	PUNCT
ejpam-3455	333	43	]	]	PUNCT
ejpam-3455	333	44	,	,	PUNCT
ejpam-3455	333	45	(	(	PUNCT
ejpam-3455	333	46	35	35	NUM
ejpam-3455	333	47	)	)	PUNCT
ejpam-3455	333	48	and	and	CCONJ
ejpam-3455	333	49	τs(y	τs(y	NUM
ejpam-3455	333	50	,	,	PUNCT
ejpam-3455	333	51	t	t	PROPN
ejpam-3455	333	52	)	)	PUNCT
ejpam-3455	333	53	=	=	SYM
ejpam-3455	334	1	−uµω√	−uµω√	NUM
ejpam-3455	334	2	ν	ν	NOUN
ejpam-3455	334	3	∞∑	∞∑	PROPN
ejpam-3455	334	4	i=0	i=0	PROPN
ejpam-3455	334	5	(	(	PUNCT
ejpam-3455	334	6	−1)i	−1)i	X
ejpam-3455	334	7	∞∑	∞∑	NUM
ejpam-3455	334	8	j=0	j=0	PROPN
ejpam-3455	334	9	1	1	NUM
ejpam-3455	334	10	j	j	NOUN
ejpam-3455	334	11	!	!	PUNCT
ejpam-3455	335	1	(	(	PUNCT
ejpam-3455	335	2	θ1√	θ1√	NOUN
ejpam-3455	335	3	ν	ν	NOUN
ejpam-3455	335	4	)	)	PUNCT
ejpam-3455	335	5	i−j	i−j	PROPN
ejpam-3455	335	6	(	(	PUNCT
ejpam-3455	335	7	−θ2	−θ2	PROPN
ejpam-3455	335	8	ν	ν	PROPN
ejpam-3455	335	9	)	)	PUNCT
ejpam-3455	336	1	j	j	PROPN
ejpam-3455	336	2	∞∑	∞∑	PRON
ejpam-3455	336	3	k=0	k=0	PROPN
ejpam-3455	336	4	1	1	NUM
ejpam-3455	336	5	k	k	NOUN
ejpam-3455	336	6	!	!	PUNCT
ejpam-3455	337	1	(	(	PUNCT
ejpam-3455	337	2	−	−	PROPN
ejpam-3455	337	3	y√	y√	NOUN
ejpam-3455	337	4	ν	ν	NOUN
ejpam-3455	337	5	)	)	PUNCT
ejpam-3455	338	1	k	k	PROPN
ejpam-3455	338	2	∞∑	∞∑	PROPN
ejpam-3455	338	3	m=0	m=0	PROPN
ejpam-3455	338	4	(	(	PUNCT
ejpam-3455	338	5	−m)m	−m)m	NOUN
ejpam-3455	338	6	m	m	VERB
ejpam-3455	338	7	!	!	PUNCT
ejpam-3455	339	1	∞∑	∞∑	ADJ
ejpam-3455	339	2	n=0	n=0	NUM
ejpam-3455	339	3	(	(	PUNCT
ejpam-3455	339	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	339	5	×λα	×λα	PROPN
ejpam-3455	339	6	(	(	PUNCT
ejpam-3455	339	7	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	339	8	2	2	NUM
ejpam-3455	339	9	)	)	PUNCT
ejpam-3455	339	10	m1,3	m1,3	NOUN
ejpam-3455	339	11	3,5	3,5	NUM
ejpam-3455	339	12	[	[	PUNCT
ejpam-3455	339	13	tα	tα	PROPN
ejpam-3455	339	14	λα	λα	PROPN
ejpam-3455	339	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	339	16	+	+	X
ejpam-3455	339	17	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	339	18	2	2	NUM
ejpam-3455	339	19	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	339	20	+	+	NUM
ejpam-3455	339	21	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	339	22	2	2	NUM
ejpam-3455	339	23	,	,	PUNCT
ejpam-3455	339	24	1	1	NUM
ejpam-3455	339	25	)	)	PUNCT
ejpam-3455	339	26	(	(	PUNCT
ejpam-3455	339	27	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	339	28	+	+	CCONJ
ejpam-3455	339	29	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	339	30	2	2	NUM
ejpam-3455	339	31	,	,	PUNCT
ejpam-3455	339	32	0),(1	0),(1	PROPN
ejpam-3455	340	1	+	+	NUM
ejpam-3455	340	2	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	340	3	2	2	NUM
ejpam-3455	340	4	,	,	PUNCT
ejpam-3455	340	5	0),((1+α	0),((1+α	NUM
ejpam-3455	340	6	)	)	PUNCT
ejpam-3455	340	7	(	(	PUNCT
ejpam-3455	340	8	i+j+k2	i+j+k2	NOUN
ejpam-3455	340	9	)	)	PUNCT
ejpam-3455	341	1	+	+	CCONJ
ejpam-3455	341	2	1	1	NUM
ejpam-3455	341	3	2	2	NUM
ejpam-3455	341	4	(	(	PUNCT
ejpam-3455	341	5	1−α)−m−2n−1,α	1−α)−m−2n−1,α	NUM
ejpam-3455	341	6	)	)	PUNCT
ejpam-3455	341	7	]	]	PUNCT
ejpam-3455	341	8	,	,	PUNCT
ejpam-3455	341	9	(	(	PUNCT
ejpam-3455	341	10	36	36	NUM
ejpam-3455	341	11	)	)	PUNCT
ejpam-3455	341	12	τc(y	τc(y	PUNCT
ejpam-3455	341	13	,	,	PUNCT
ejpam-3455	341	14	t	t	PROPN
ejpam-3455	341	15	)	)	PUNCT
ejpam-3455	341	16	=	=	SYM
ejpam-3455	341	17	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	341	18	ν	ν	PROPN
ejpam-3455	341	19	∞∑	∞∑	PROPN
ejpam-3455	341	20	i=0	i=0	PROPN
ejpam-3455	341	21	(	(	PUNCT
ejpam-3455	341	22	−1)i	−1)i	X
ejpam-3455	341	23	∞∑	∞∑	NUM
ejpam-3455	341	24	j=0	j=0	PROPN
ejpam-3455	341	25	1	1	NUM
ejpam-3455	341	26	j	j	NOUN
ejpam-3455	341	27	!	!	PUNCT
ejpam-3455	342	1	(	(	PUNCT
ejpam-3455	342	2	θ1√	θ1√	NOUN
ejpam-3455	342	3	ν	ν	NOUN
ejpam-3455	342	4	)	)	PUNCT
ejpam-3455	342	5	i−j	i−j	PROPN
ejpam-3455	342	6	(	(	PUNCT
ejpam-3455	342	7	−θ2	−θ2	PROPN
ejpam-3455	342	8	ν	ν	PROPN
ejpam-3455	342	9	)	)	PUNCT
ejpam-3455	343	1	j	j	PROPN
ejpam-3455	343	2	∞∑	∞∑	PRON
ejpam-3455	343	3	k=0	k=0	PROPN
ejpam-3455	343	4	1	1	NUM
ejpam-3455	343	5	k	k	NOUN
ejpam-3455	343	6	!	!	PUNCT
ejpam-3455	344	1	(	(	PUNCT
ejpam-3455	344	2	−	−	PROPN
ejpam-3455	344	3	y√	y√	NOUN
ejpam-3455	344	4	ν	ν	NOUN
ejpam-3455	344	5	)	)	PUNCT
ejpam-3455	345	1	k	k	PROPN
ejpam-3455	345	2	∞∑	∞∑	PROPN
ejpam-3455	345	3	m=0	m=0	PROPN
ejpam-3455	345	4	(	(	PUNCT
ejpam-3455	345	5	−m)m	−m)m	NOUN
ejpam-3455	345	6	m	m	VERB
ejpam-3455	345	7	!	!	PUNCT
ejpam-3455	346	1	∞∑	∞∑	ADJ
ejpam-3455	346	2	n=0	n=0	NUM
ejpam-3455	346	3	(	(	PUNCT
ejpam-3455	346	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	346	5	×λα	×λα	PROPN
ejpam-3455	346	6	(	(	PUNCT
ejpam-3455	346	7	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	346	8	2	2	NUM
ejpam-3455	346	9	)	)	PUNCT
ejpam-3455	346	10	m1,3	m1,3	NOUN
ejpam-3455	346	11	3,5	3,5	NUM
ejpam-3455	346	12	[	[	PUNCT
ejpam-3455	346	13	tα	tα	PROPN
ejpam-3455	346	14	λα	λα	PROPN
ejpam-3455	346	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	346	16	+	+	X
ejpam-3455	346	17	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	346	18	2	2	NUM
ejpam-3455	346	19	−m,0),(1	−m,0),(1	NOUN
ejpam-3455	346	20	+	+	NUM
ejpam-3455	346	21	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	346	22	2	2	NUM
ejpam-3455	346	23	,	,	PUNCT
ejpam-3455	346	24	1	1	NUM
ejpam-3455	346	25	)	)	PUNCT
ejpam-3455	346	26	(	(	PUNCT
ejpam-3455	346	27	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	346	28	+	+	CCONJ
ejpam-3455	346	29	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	346	30	2	2	NUM
ejpam-3455	346	31	,	,	PUNCT
ejpam-3455	346	32	0),(1	0),(1	PROPN
ejpam-3455	347	1	+	+	NUM
ejpam-3455	347	2	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	347	3	2	2	NUM
ejpam-3455	347	4	,	,	PUNCT
ejpam-3455	347	5	0),((1+α	0),((1+α	NUM
ejpam-3455	347	6	)	)	PUNCT
ejpam-3455	347	7	(	(	PUNCT
ejpam-3455	347	8	i+j+k2	i+j+k2	NOUN
ejpam-3455	347	9	)	)	PUNCT
ejpam-3455	348	1	+	+	CCONJ
ejpam-3455	348	2	1	1	NUM
ejpam-3455	348	3	2	2	NUM
ejpam-3455	348	4	(	(	PUNCT
ejpam-3455	348	5	1−α)−m−2n	1−α)−m−2n	PROPN
ejpam-3455	348	6	,	,	PUNCT
ejpam-3455	348	7	α	α	NOUN
ejpam-3455	348	8	)	)	PUNCT
ejpam-3455	348	9	]	]	PUNCT
ejpam-3455	348	10	.(37	.(37	X
ejpam-3455	348	11	)	)	PUNCT
ejpam-3455	348	12	4.4	4.4	NUM
ejpam-3455	348	13	.	.	PUNCT
ejpam-3455	349	1	fractionalized	fractionalize	VERB
ejpam-3455	349	2	maxwell	maxwell	PROPN
ejpam-3455	349	3	fluid	fluid	PROPN
ejpam-3455	349	4	without	without	ADP
ejpam-3455	349	5	mhd	mhd	PROPN
ejpam-3455	349	6	&	&	CCONJ
ejpam-3455	349	7	porous	porous	ADJ
ejpam-3455	349	8	effects	effect	NOUN
ejpam-3455	349	9	making	make	VERB
ejpam-3455	349	10	m	m	VERB
ejpam-3455	349	11	→	→	SYM
ejpam-3455	349	12	0	0	NUM
ejpam-3455	349	13	and	and	CCONJ
ejpam-3455	349	14	ψ	ψ	X
ejpam-3455	349	15	=	=	SYM
ejpam-3455	349	16	0	0	NUM
ejpam-3455	349	17	,	,	PUNCT
ejpam-3455	349	18	eq	eq	NOUN
ejpam-3455	349	19	.	.	PUNCT
ejpam-3455	349	20	(	(	PUNCT
ejpam-3455	349	21	17	17	NUM
ejpam-3455	349	22	)	)	PUNCT
ejpam-3455	349	23	,	,	PUNCT
ejpam-3455	349	24	(	(	PUNCT
ejpam-3455	349	25	19	19	NUM
ejpam-3455	349	26	)	)	PUNCT
ejpam-3455	349	27	,	,	PUNCT
ejpam-3455	349	28	(	(	PUNCT
ejpam-3455	349	29	24	24	NUM
ejpam-3455	349	30	)	)	PUNCT
ejpam-3455	349	31	and	and	CCONJ
ejpam-3455	349	32	(	(	PUNCT
ejpam-3455	349	33	25	25	NUM
ejpam-3455	349	34	)	)	PUNCT
ejpam-3455	349	35	yield	yield	VERB
ejpam-3455	349	36	the	the	DET
ejpam-3455	349	37	following	follow	VERB
ejpam-3455	349	38	expressions	expression	NOUN
ejpam-3455	349	39	us(y	us(y	ADJ
ejpam-3455	349	40	,	,	PUNCT
ejpam-3455	349	41	t	t	PROPN
ejpam-3455	349	42	)	)	PUNCT
ejpam-3455	349	43	=	=	SYM
ejpam-3455	349	44	u	u	NOUN
ejpam-3455	349	45	sin(ωt	sin(ωt	NOUN
ejpam-3455	349	46	)	)	PUNCT
ejpam-3455	350	1	+	+	CCONJ
ejpam-3455	350	2	uω	uω	ADV
ejpam-3455	350	3	∞∑	∞∑	NUM
ejpam-3455	350	4	i=1	i=1	PRON
ejpam-3455	350	5	(	(	PUNCT
ejpam-3455	350	6	−1)i	−1)i	X
ejpam-3455	350	7	∞∑	∞∑	NUM
ejpam-3455	350	8	j=0	j=0	PROPN
ejpam-3455	350	9	1	1	NUM
ejpam-3455	350	10	j	j	NOUN
ejpam-3455	350	11	!	!	PUNCT
ejpam-3455	351	1	(	(	PUNCT
ejpam-3455	351	2	θ1√	θ1√	NOUN
ejpam-3455	351	3	ν	ν	NOUN
ejpam-3455	351	4	)	)	PUNCT
ejpam-3455	351	5	i−j	i−j	PROPN
ejpam-3455	351	6	(	(	PUNCT
ejpam-3455	351	7	−θ2	−θ2	PROPN
ejpam-3455	351	8	ν	ν	PROPN
ejpam-3455	351	9	)	)	PUNCT
ejpam-3455	352	1	j	j	PROPN
ejpam-3455	352	2	∞∑	∞∑	NOUN
ejpam-3455	352	3	n=0	n=0	NUM
ejpam-3455	352	4	(	(	PUNCT
ejpam-3455	352	5	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	352	6	(	(	PUNCT
ejpam-3455	352	7	i+j	i+j	NUM
ejpam-3455	352	8	2	2	NUM
ejpam-3455	352	9	)	)	PUNCT
ejpam-3455	352	10	×m1,2	×m1,2	NOUN
ejpam-3455	352	11	2,4	2,4	NUM
ejpam-3455	352	12	[	[	PUNCT
ejpam-3455	352	13	tα	tα	PROPN
ejpam-3455	352	14	λα	λα	PROPN
ejpam-3455	352	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	352	16	+	+	NUM
ejpam-3455	352	17	i+j	i+j	NUM
ejpam-3455	352	18	2	2	NUM
ejpam-3455	352	19	,	,	PUNCT
ejpam-3455	352	20	1	1	NUM
ejpam-3455	352	21	)	)	PUNCT
ejpam-3455	352	22	(	(	PUNCT
ejpam-3455	352	23	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	352	24	+	+	CCONJ
ejpam-3455	352	25	i+j	i+j	NUM
ejpam-3455	352	26	2	2	NUM
ejpam-3455	352	27	,	,	PUNCT
ejpam-3455	352	28	0),((1+α	0),((1+α	NUM
ejpam-3455	352	29	)	)	PUNCT
ejpam-3455	352	30	(	(	PUNCT
ejpam-3455	352	31	i+j2	i+j2	NOUN
ejpam-3455	352	32	)	)	PUNCT
ejpam-3455	352	33	−2n−1,α	−2n−1,α	PROPN
ejpam-3455	352	34	)	)	PUNCT
ejpam-3455	352	35	]	]	PUNCT
ejpam-3455	352	36	m.	m.	PROPN
ejpam-3455	352	37	jamil	jamil	PROPN
ejpam-3455	352	38	,	,	PUNCT
ejpam-3455	352	39	i.	i.	PROPN
ejpam-3455	352	40	ahmed	ahmed	PROPN
ejpam-3455	352	41	/	/	PUNCT
ejpam-3455	352	42	eur	eur	PROPN
ejpam-3455	352	43	.	.	PUNCT
ejpam-3455	353	1	j.	j.	PROPN
ejpam-3455	353	2	pure	pure	PROPN
ejpam-3455	353	3	appl	appl	PROPN
ejpam-3455	353	4	.	.	PROPN
ejpam-3455	353	5	math	math	PROPN
ejpam-3455	353	6	,	,	PUNCT
ejpam-3455	353	7	12	12	NUM
ejpam-3455	353	8	(	(	PUNCT
ejpam-3455	353	9	3	3	NUM
ejpam-3455	353	10	)	)	PUNCT
ejpam-3455	353	11	(	(	PUNCT
ejpam-3455	353	12	2019	2019	NUM
ejpam-3455	353	13	)	)	PUNCT
ejpam-3455	353	14	,	,	PUNCT
ejpam-3455	353	15	1018	1018	NUM
ejpam-3455	353	16	-	-	SYM
ejpam-3455	353	17	1051	1051	NUM
ejpam-3455	353	18	1033	1033	NUM
ejpam-3455	354	1	+	+	ADP
ejpam-3455	354	2	uω	uω	ADP
ejpam-3455	354	3	∞∑	∞∑	PROPN
ejpam-3455	354	4	i=0	i=0	ADJ
ejpam-3455	354	5	(	(	PUNCT
ejpam-3455	354	6	−1)i	−1)i	X
ejpam-3455	354	7	∞∑	∞∑	NUM
ejpam-3455	354	8	j=0	j=0	PROPN
ejpam-3455	354	9	1	1	NUM
ejpam-3455	354	10	j	j	NOUN
ejpam-3455	354	11	!	!	PUNCT
ejpam-3455	355	1	(	(	PUNCT
ejpam-3455	355	2	θ1√	θ1√	NOUN
ejpam-3455	355	3	ν	ν	NOUN
ejpam-3455	355	4	)	)	PUNCT
ejpam-3455	355	5	i−j	i−j	PROPN
ejpam-3455	355	6	(	(	PUNCT
ejpam-3455	355	7	−θ2	−θ2	PROPN
ejpam-3455	355	8	ν	ν	PROPN
ejpam-3455	355	9	)	)	PUNCT
ejpam-3455	356	1	j	j	PROPN
ejpam-3455	357	1	∞∑	∞∑	NUM
ejpam-3455	357	2	k=1	k=1	PROPN
ejpam-3455	357	3	1	1	NUM
ejpam-3455	357	4	k	k	NOUN
ejpam-3455	357	5	!	!	PUNCT
ejpam-3455	358	1	(	(	PUNCT
ejpam-3455	358	2	−	−	PROPN
ejpam-3455	358	3	y√	y√	NOUN
ejpam-3455	358	4	ν	ν	NOUN
ejpam-3455	358	5	)	)	PUNCT
ejpam-3455	359	1	k	k	PROPN
ejpam-3455	360	1	∞∑	∞∑	NOUN
ejpam-3455	360	2	n=0	n=0	NUM
ejpam-3455	360	3	(	(	PUNCT
ejpam-3455	360	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	360	5	(	(	PUNCT
ejpam-3455	360	6	i+j+k	i+j+k	NOUN
ejpam-3455	360	7	2	2	NUM
ejpam-3455	360	8	)	)	PUNCT
ejpam-3455	360	9	×m1,2	×m1,2	NOUN
ejpam-3455	360	10	2,4	2,4	NUM
ejpam-3455	360	11	[	[	PUNCT
ejpam-3455	360	12	tα	tα	PROPN
ejpam-3455	360	13	λα	λα	PROPN
ejpam-3455	360	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	360	15	+	+	PROPN
ejpam-3455	360	16	i+j+k	i+j+k	NOUN
ejpam-3455	360	17	2	2	NUM
ejpam-3455	360	18	,	,	PUNCT
ejpam-3455	360	19	1	1	NUM
ejpam-3455	360	20	)	)	PUNCT
ejpam-3455	360	21	(	(	PUNCT
ejpam-3455	360	22	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	360	23	+	+	CCONJ
ejpam-3455	360	24	i+j+k	i+j+k	NOUN
ejpam-3455	360	25	2	2	NUM
ejpam-3455	360	26	,	,	PUNCT
ejpam-3455	360	27	0),((1+α	0),((1+α	NUM
ejpam-3455	360	28	)	)	PUNCT
ejpam-3455	360	29	(	(	PUNCT
ejpam-3455	360	30	i+j+k2	i+j+k2	NOUN
ejpam-3455	360	31	)	)	PUNCT
ejpam-3455	360	32	−2n−1,α	−2n−1,α	PROPN
ejpam-3455	360	33	)	)	PUNCT
ejpam-3455	360	34	]	]	PUNCT
ejpam-3455	360	35	,	,	PUNCT
ejpam-3455	360	36	(	(	PUNCT
ejpam-3455	360	37	38	38	NUM
ejpam-3455	360	38	)	)	PUNCT
ejpam-3455	360	39	uc(y	uc(y	PUNCT
ejpam-3455	360	40	,	,	PUNCT
ejpam-3455	360	41	t	t	PROPN
ejpam-3455	360	42	)	)	PUNCT
ejpam-3455	360	43	=	=	SYM
ejpam-3455	360	44	uh(t	uh(t	X
ejpam-3455	360	45	)	)	PUNCT
ejpam-3455	360	46	cos(ωt	cos(ωt	PRON
ejpam-3455	360	47	)	)	PUNCT
ejpam-3455	360	48	+	+	NOUN
ejpam-3455	360	49	uh(t	uh(t	X
ejpam-3455	360	50	)	)	PUNCT
ejpam-3455	360	51	∞∑	∞∑	NUM
ejpam-3455	360	52	i=1	i=1	X
ejpam-3455	360	53	(	(	PUNCT
ejpam-3455	360	54	−1)i	−1)i	X
ejpam-3455	360	55	∞∑	∞∑	NUM
ejpam-3455	360	56	j=0	j=0	PROPN
ejpam-3455	360	57	1	1	NUM
ejpam-3455	360	58	j	j	NOUN
ejpam-3455	360	59	!	!	PUNCT
ejpam-3455	361	1	(	(	PUNCT
ejpam-3455	361	2	θ1√	θ1√	NOUN
ejpam-3455	361	3	ν	ν	NOUN
ejpam-3455	361	4	)	)	PUNCT
ejpam-3455	361	5	i−j	i−j	PROPN
ejpam-3455	361	6	(	(	PUNCT
ejpam-3455	361	7	−θ2	−θ2	PROPN
ejpam-3455	361	8	ν	ν	PROPN
ejpam-3455	361	9	)	)	PUNCT
ejpam-3455	362	1	j	j	PROPN
ejpam-3455	362	2	∞∑	∞∑	NOUN
ejpam-3455	362	3	n=0	n=0	NUM
ejpam-3455	362	4	(	(	PUNCT
ejpam-3455	362	5	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	362	6	(	(	PUNCT
ejpam-3455	362	7	i+j	i+j	NUM
ejpam-3455	362	8	2	2	NUM
ejpam-3455	362	9	)	)	PUNCT
ejpam-3455	362	10	×m1,2	×m1,2	NOUN
ejpam-3455	362	11	2,4	2,4	NUM
ejpam-3455	362	12	[	[	PUNCT
ejpam-3455	362	13	tα	tα	PROPN
ejpam-3455	362	14	λα	λα	PROPN
ejpam-3455	362	15	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	362	16	+	+	NUM
ejpam-3455	362	17	i+j	i+j	NUM
ejpam-3455	362	18	2	2	NUM
ejpam-3455	362	19	,	,	PUNCT
ejpam-3455	362	20	1	1	NUM
ejpam-3455	362	21	)	)	PUNCT
ejpam-3455	362	22	(	(	PUNCT
ejpam-3455	362	23	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	362	24	+	+	CCONJ
ejpam-3455	362	25	i+j	i+j	NUM
ejpam-3455	362	26	2	2	NUM
ejpam-3455	362	27	,	,	PUNCT
ejpam-3455	362	28	0),((1+α	0),((1+α	NUM
ejpam-3455	362	29	)	)	PUNCT
ejpam-3455	362	30	(	(	PUNCT
ejpam-3455	362	31	i+j2	i+j2	NOUN
ejpam-3455	362	32	)	)	PUNCT
ejpam-3455	362	33	−2n−1,α	−2n−1,α	PROPN
ejpam-3455	362	34	)	)	PUNCT
ejpam-3455	362	35	]	]	PUNCT
ejpam-3455	363	1	+	+	X
ejpam-3455	363	2	uh(t	uh(t	X
ejpam-3455	363	3	)	)	PUNCT
ejpam-3455	363	4	∞∑	∞∑	PROPN
ejpam-3455	363	5	i=0	i=0	PROPN
ejpam-3455	363	6	(	(	PUNCT
ejpam-3455	363	7	−1)i	−1)i	X
ejpam-3455	363	8	∞∑	∞∑	NUM
ejpam-3455	363	9	j=0	j=0	PROPN
ejpam-3455	363	10	1	1	NUM
ejpam-3455	363	11	j	j	NOUN
ejpam-3455	363	12	!	!	PUNCT
ejpam-3455	363	13	(	(	PUNCT
ejpam-3455	363	14	θ1√	θ1√	NOUN
ejpam-3455	363	15	ν	ν	NOUN
ejpam-3455	363	16	)	)	PUNCT
ejpam-3455	363	17	i−j	i−j	PROPN
ejpam-3455	363	18	(	(	PUNCT
ejpam-3455	363	19	−θ2	−θ2	PROPN
ejpam-3455	363	20	ν	ν	PROPN
ejpam-3455	363	21	)	)	PUNCT
ejpam-3455	363	22	j	j	PROPN
ejpam-3455	364	1	∞∑	∞∑	NUM
ejpam-3455	364	2	k=1	k=1	PROPN
ejpam-3455	364	3	1	1	NUM
ejpam-3455	364	4	k	k	NOUN
ejpam-3455	364	5	!	!	PUNCT
ejpam-3455	365	1	(	(	PUNCT
ejpam-3455	365	2	−	−	PROPN
ejpam-3455	365	3	y√	y√	NOUN
ejpam-3455	365	4	ν	ν	NOUN
ejpam-3455	365	5	)	)	PUNCT
ejpam-3455	366	1	k	k	PROPN
ejpam-3455	367	1	∞∑	∞∑	NOUN
ejpam-3455	367	2	n=0	n=0	NUM
ejpam-3455	367	3	(	(	PUNCT
ejpam-3455	367	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	367	5	(	(	PUNCT
ejpam-3455	367	6	i+j+k	i+j+k	NOUN
ejpam-3455	367	7	2	2	NUM
ejpam-3455	367	8	)	)	PUNCT
ejpam-3455	367	9	×m1,2	×m1,2	NOUN
ejpam-3455	367	10	2,4	2,4	NUM
ejpam-3455	367	11	[	[	PUNCT
ejpam-3455	367	12	tα	tα	PROPN
ejpam-3455	367	13	λα	λα	PROPN
ejpam-3455	367	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	367	15	+	+	PROPN
ejpam-3455	367	16	i+j+k	i+j+k	NOUN
ejpam-3455	367	17	2	2	NUM
ejpam-3455	367	18	,	,	PUNCT
ejpam-3455	367	19	1	1	NUM
ejpam-3455	367	20	)	)	PUNCT
ejpam-3455	367	21	(	(	PUNCT
ejpam-3455	367	22	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	367	23	+	+	CCONJ
ejpam-3455	367	24	i+j+k	i+j+k	NOUN
ejpam-3455	367	25	2	2	NUM
ejpam-3455	367	26	,	,	PUNCT
ejpam-3455	367	27	0),((1+α	0),((1+α	NUM
ejpam-3455	367	28	)	)	PUNCT
ejpam-3455	367	29	(	(	PUNCT
ejpam-3455	367	30	i+j+k2	i+j+k2	PROPN
ejpam-3455	367	31	)	)	PUNCT
ejpam-3455	367	32	−2n	−2n	PROPN
ejpam-3455	367	33	,	,	PUNCT
ejpam-3455	367	34	α	α	NOUN
ejpam-3455	367	35	)	)	PUNCT
ejpam-3455	367	36	]	]	PUNCT
ejpam-3455	367	37	,	,	PUNCT
ejpam-3455	367	38	(	(	PUNCT
ejpam-3455	367	39	39	39	NUM
ejpam-3455	367	40	)	)	PUNCT
ejpam-3455	367	41	τs(y	τs(y	NUM
ejpam-3455	367	42	,	,	PUNCT
ejpam-3455	367	43	t	t	PROPN
ejpam-3455	367	44	)	)	PUNCT
ejpam-3455	367	45	=	=	SYM
ejpam-3455	368	1	−uµω√	−uµω√	NUM
ejpam-3455	368	2	ν	ν	NOUN
ejpam-3455	368	3	∞∑	∞∑	PROPN
ejpam-3455	368	4	i=0	i=0	PROPN
ejpam-3455	368	5	(	(	PUNCT
ejpam-3455	368	6	−1)i	−1)i	X
ejpam-3455	368	7	∞∑	∞∑	NUM
ejpam-3455	368	8	j=0	j=0	PROPN
ejpam-3455	368	9	1	1	NUM
ejpam-3455	368	10	j	j	NOUN
ejpam-3455	368	11	!	!	PUNCT
ejpam-3455	369	1	(	(	PUNCT
ejpam-3455	369	2	θ1√	θ1√	NOUN
ejpam-3455	369	3	ν	ν	NOUN
ejpam-3455	369	4	)	)	PUNCT
ejpam-3455	369	5	i−j	i−j	PROPN
ejpam-3455	369	6	(	(	PUNCT
ejpam-3455	369	7	−θ2	−θ2	PROPN
ejpam-3455	369	8	ν	ν	PROPN
ejpam-3455	369	9	)	)	PUNCT
ejpam-3455	370	1	j	j	PROPN
ejpam-3455	370	2	∞∑	∞∑	PRON
ejpam-3455	370	3	k=0	k=0	PROPN
ejpam-3455	370	4	1	1	NUM
ejpam-3455	370	5	k	k	NOUN
ejpam-3455	370	6	!	!	PUNCT
ejpam-3455	371	1	(	(	PUNCT
ejpam-3455	371	2	−	−	PROPN
ejpam-3455	371	3	y√	y√	NOUN
ejpam-3455	371	4	ν	ν	NOUN
ejpam-3455	371	5	)	)	PUNCT
ejpam-3455	372	1	k	k	PROPN
ejpam-3455	373	1	∞∑	∞∑	NOUN
ejpam-3455	373	2	n=0	n=0	NUM
ejpam-3455	373	3	(	(	PUNCT
ejpam-3455	373	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	373	5	(	(	PUNCT
ejpam-3455	373	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	373	7	2	2	NUM
ejpam-3455	373	8	)	)	PUNCT
ejpam-3455	373	9	×m1,2	×m1,2	NOUN
ejpam-3455	373	10	2,4	2,4	NUM
ejpam-3455	373	11	[	[	PUNCT
ejpam-3455	373	12	tα	tα	PROPN
ejpam-3455	373	13	λα	λα	PROPN
ejpam-3455	373	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	373	15	+	+	NUM
ejpam-3455	373	16	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	373	17	2	2	NUM
ejpam-3455	373	18	,	,	PUNCT
ejpam-3455	373	19	1	1	NUM
ejpam-3455	373	20	)	)	PUNCT
ejpam-3455	373	21	(	(	PUNCT
ejpam-3455	373	22	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	373	23	+	+	NUM
ejpam-3455	373	24	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	373	25	2	2	NUM
ejpam-3455	373	26	,	,	PUNCT
ejpam-3455	373	27	0),((1+α	0),((1+α	NUM
ejpam-3455	373	28	)	)	PUNCT
ejpam-3455	373	29	(	(	PUNCT
ejpam-3455	373	30	i+j+k2	i+j+k2	NOUN
ejpam-3455	373	31	)	)	PUNCT
ejpam-3455	374	1	+	+	CCONJ
ejpam-3455	374	2	1	1	NUM
ejpam-3455	374	3	2	2	NUM
ejpam-3455	374	4	(	(	PUNCT
ejpam-3455	374	5	1−α)−2n−1,α	1−α)−2n−1,α	NUM
ejpam-3455	374	6	)	)	PUNCT
ejpam-3455	374	7	]	]	PUNCT
ejpam-3455	374	8	,	,	PUNCT
ejpam-3455	374	9	(	(	PUNCT
ejpam-3455	374	10	40	40	NUM
ejpam-3455	374	11	)	)	PUNCT
ejpam-3455	374	12	τc(y	τc(y	PUNCT
ejpam-3455	374	13	,	,	PUNCT
ejpam-3455	374	14	t	t	PROPN
ejpam-3455	374	15	)	)	PUNCT
ejpam-3455	374	16	=	=	SYM
ejpam-3455	374	17	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	374	18	ν	ν	PROPN
ejpam-3455	374	19	∞∑	∞∑	PROPN
ejpam-3455	374	20	i=0	i=0	PROPN
ejpam-3455	374	21	(	(	PUNCT
ejpam-3455	374	22	−1)i	−1)i	X
ejpam-3455	374	23	∞∑	∞∑	NUM
ejpam-3455	374	24	j=0	j=0	PROPN
ejpam-3455	374	25	1	1	NUM
ejpam-3455	374	26	j	j	NOUN
ejpam-3455	374	27	!	!	PUNCT
ejpam-3455	375	1	(	(	PUNCT
ejpam-3455	375	2	θ1√	θ1√	NOUN
ejpam-3455	375	3	ν	ν	NOUN
ejpam-3455	375	4	)	)	PUNCT
ejpam-3455	375	5	i−j	i−j	PROPN
ejpam-3455	375	6	(	(	PUNCT
ejpam-3455	375	7	−θ2	−θ2	PROPN
ejpam-3455	375	8	ν	ν	PROPN
ejpam-3455	375	9	)	)	PUNCT
ejpam-3455	376	1	j	j	PROPN
ejpam-3455	376	2	∞∑	∞∑	PRON
ejpam-3455	376	3	k=0	k=0	PROPN
ejpam-3455	376	4	1	1	NUM
ejpam-3455	376	5	k	k	NOUN
ejpam-3455	376	6	!	!	PUNCT
ejpam-3455	377	1	(	(	PUNCT
ejpam-3455	377	2	−	−	PROPN
ejpam-3455	377	3	y√	y√	NOUN
ejpam-3455	377	4	ν	ν	NOUN
ejpam-3455	377	5	)	)	PUNCT
ejpam-3455	378	1	k	k	PROPN
ejpam-3455	379	1	∞∑	∞∑	NOUN
ejpam-3455	379	2	n=0	n=0	NUM
ejpam-3455	379	3	(	(	PUNCT
ejpam-3455	379	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	379	5	(	(	PUNCT
ejpam-3455	379	6	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	379	7	2	2	NUM
ejpam-3455	379	8	)	)	PUNCT
ejpam-3455	379	9	×m1,2	×m1,2	NOUN
ejpam-3455	379	10	2,4	2,4	NUM
ejpam-3455	379	11	[	[	PUNCT
ejpam-3455	379	12	tα	tα	PROPN
ejpam-3455	379	13	λα	λα	PROPN
ejpam-3455	379	14	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	379	15	+	+	NUM
ejpam-3455	379	16	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	379	17	2	2	NUM
ejpam-3455	379	18	,	,	PUNCT
ejpam-3455	379	19	1	1	NUM
ejpam-3455	379	20	)	)	PUNCT
ejpam-3455	379	21	(	(	PUNCT
ejpam-3455	379	22	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	379	23	+	+	NUM
ejpam-3455	379	24	i+j+k−1	i+j+k−1	NOUN
ejpam-3455	379	25	2	2	NUM
ejpam-3455	379	26	,	,	PUNCT
ejpam-3455	379	27	0),((1+α	0),((1+α	NUM
ejpam-3455	379	28	)	)	PUNCT
ejpam-3455	379	29	(	(	PUNCT
ejpam-3455	379	30	i+j+k2	i+j+k2	NOUN
ejpam-3455	379	31	)	)	PUNCT
ejpam-3455	380	1	+	+	CCONJ
ejpam-3455	380	2	1	1	NUM
ejpam-3455	380	3	2	2	NUM
ejpam-3455	380	4	(	(	PUNCT
ejpam-3455	380	5	1−α)−2n	1−α)−2n	NUM
ejpam-3455	380	6	,	,	PUNCT
ejpam-3455	380	7	α	α	NOUN
ejpam-3455	380	8	)	)	PUNCT
ejpam-3455	380	9	]	]	PUNCT
ejpam-3455	380	10	.	.	PUNCT
ejpam-3455	381	1	(	(	PUNCT
ejpam-3455	381	2	41	41	NUM
ejpam-3455	381	3	)	)	PUNCT
ejpam-3455	381	4	m.	m.	NOUN
ejpam-3455	381	5	jamil	jamil	PROPN
ejpam-3455	381	6	,	,	PUNCT
ejpam-3455	381	7	i.	i.	PROPN
ejpam-3455	381	8	ahmed	ahmed	PROPN
ejpam-3455	381	9	/	/	PUNCT
ejpam-3455	381	10	eur	eur	PROPN
ejpam-3455	381	11	.	.	PUNCT
ejpam-3455	382	1	j.	j.	PROPN
ejpam-3455	382	2	pure	pure	PROPN
ejpam-3455	382	3	appl	appl	PROPN
ejpam-3455	382	4	.	.	PROPN
ejpam-3455	382	5	math	math	PROPN
ejpam-3455	382	6	,	,	PUNCT
ejpam-3455	382	7	12	12	NUM
ejpam-3455	382	8	(	(	PUNCT
ejpam-3455	382	9	3	3	NUM
ejpam-3455	382	10	)	)	PUNCT
ejpam-3455	382	11	(	(	PUNCT
ejpam-3455	382	12	2019	2019	NUM
ejpam-3455	382	13	)	)	PUNCT
ejpam-3455	382	14	,	,	PUNCT
ejpam-3455	382	15	1018	1018	NUM
ejpam-3455	382	16	-	-	SYM
ejpam-3455	382	17	1051	1051	NUM
ejpam-3455	382	18	1034	1034	NUM
ejpam-3455	382	19	4.5	4.5	NUM
ejpam-3455	382	20	.	.	PUNCT
ejpam-3455	383	1	fractionalized	fractionalize	VERB
ejpam-3455	383	2	mhd	mhd	PROPN
ejpam-3455	383	3	maxwell	maxwell	PROPN
ejpam-3455	383	4	fluid	fluid	NOUN
ejpam-3455	383	5	in	in	ADP
ejpam-3455	383	6	porous	porous	ADJ
ejpam-3455	383	7	medium	medium	NOUN
ejpam-3455	383	8	with	with	ADP
ejpam-3455	383	9	first	first	ADJ
ejpam-3455	383	10	order	order	NOUN
ejpam-3455	383	11	slip	slip	AUX
ejpam-3455	383	12	only	only	ADV
ejpam-3455	383	13	making	make	VERB
ejpam-3455	383	14	θ2	θ2	NOUN
ejpam-3455	383	15	→	→	SYM
ejpam-3455	383	16	0	0	NUM
ejpam-3455	383	17	in	in	ADP
ejpam-3455	383	18	eq	eq	ADP
ejpam-3455	383	19	.	.	PUNCT
ejpam-3455	384	1	(	(	PUNCT
ejpam-3455	384	2	17	17	NUM
ejpam-3455	384	3	)	)	PUNCT
ejpam-3455	384	4	,	,	PUNCT
ejpam-3455	384	5	(	(	PUNCT
ejpam-3455	384	6	19	19	NUM
ejpam-3455	384	7	)	)	PUNCT
ejpam-3455	384	8	,	,	PUNCT
ejpam-3455	384	9	(	(	PUNCT
ejpam-3455	384	10	24	24	NUM
ejpam-3455	384	11	)	)	PUNCT
ejpam-3455	384	12	and	and	CCONJ
ejpam-3455	384	13	(	(	PUNCT
ejpam-3455	384	14	25	25	NUM
ejpam-3455	384	15	)	)	PUNCT
ejpam-3455	384	16	,	,	PUNCT
ejpam-3455	384	17	we	we	PRON
ejpam-3455	384	18	ge	ge	VERB
ejpam-3455	384	19	the	the	DET
ejpam-3455	384	20	required	require	VERB
ejpam-3455	384	21	solution	solution	NOUN
ejpam-3455	384	22	as	as	ADP
ejpam-3455	384	23	us(y	us(y	PROPN
ejpam-3455	384	24	,	,	PUNCT
ejpam-3455	384	25	t	t	PROPN
ejpam-3455	384	26	)	)	PUNCT
ejpam-3455	384	27	=	=	SYM
ejpam-3455	384	28	u	u	NOUN
ejpam-3455	384	29	sin(ωt	sin(ωt	NOUN
ejpam-3455	384	30	)	)	PUNCT
ejpam-3455	385	1	+	+	CCONJ
ejpam-3455	385	2	uω	uω	ADV
ejpam-3455	385	3	∞∑	∞∑	NUM
ejpam-3455	385	4	i=1	i=1	X
ejpam-3455	385	5	(	(	PUNCT
ejpam-3455	385	6	−	−	PROPN
ejpam-3455	385	7	θ1√	θ1√	NOUN
ejpam-3455	385	8	ν	ν	NOUN
ejpam-3455	385	9	)	)	PUNCT
ejpam-3455	386	1	i	i	PRON
ejpam-3455	386	2	∞∑	∞∑	NUM
ejpam-3455	386	3	l=0	l=0	PROPN
ejpam-3455	386	4	(	(	PUNCT
ejpam-3455	386	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	386	6	l	l	NOUN
ejpam-3455	386	7	!	!	PUNCT
ejpam-3455	387	1	∞∑	∞∑	ADJ
ejpam-3455	387	2	m=0	m=0	PROPN
ejpam-3455	387	3	(	(	PUNCT
ejpam-3455	387	4	−m)m	−m)m	NOUN
ejpam-3455	387	5	m	m	VERB
ejpam-3455	387	6	!	!	PUNCT
ejpam-3455	388	1	∞∑	∞∑	ADJ
ejpam-3455	388	2	n=0	n=0	NUM
ejpam-3455	388	3	(	(	PUNCT
ejpam-3455	388	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	388	5	(	(	PUNCT
ejpam-3455	388	6	i	i	PROPN
ejpam-3455	388	7	2	2	NUM
ejpam-3455	388	8	−l	−l	NOUN
ejpam-3455	388	9	)	)	PUNCT
ejpam-3455	388	10	×m1,3	×m1,3	PROPN
ejpam-3455	388	11	3,5	3,5	NUM
ejpam-3455	388	12	[	[	PUNCT
ejpam-3455	388	13	tα	tα	NUM
ejpam-3455	388	14	λα	λα	PROPN
ejpam-3455	388	15	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	388	16	+	+	CCONJ
ejpam-3455	388	17	i	i	PROPN
ejpam-3455	388	18	2	2	NUM
ejpam-3455	388	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	388	20	+	+	NOUN
ejpam-3455	388	21	i	i	PROPN
ejpam-3455	388	22	2	2	NUM
ejpam-3455	388	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	389	1	+	+	NUM
ejpam-3455	389	2	i	i	PROPN
ejpam-3455	389	3	2	2	NUM
ejpam-3455	389	4	−l,1	−l,1	PROPN
ejpam-3455	389	5	)	)	PUNCT
ejpam-3455	389	6	(	(	PUNCT
ejpam-3455	389	7	0,1),(1	0,1),(1	NUM
ejpam-3455	389	8	+	+	SYM
ejpam-3455	389	9	i	i	NOUN
ejpam-3455	389	10	2	2	NUM
ejpam-3455	389	11	,	,	PUNCT
ejpam-3455	389	12	0),(1	0),(1	PROPN
ejpam-3455	390	1	+	+	NUM
ejpam-3455	390	2	i	i	NOUN
ejpam-3455	390	3	2	2	NUM
ejpam-3455	390	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	390	5	+	+	NOUN
ejpam-3455	390	6	i	i	NOUN
ejpam-3455	390	7	2	2	NUM
ejpam-3455	390	8	−l,0),((1+α	−l,0),((1+α	ADJ
ejpam-3455	390	9	)	)	PUNCT
ejpam-3455	390	10	(	(	PUNCT
ejpam-3455	390	11	i2−l)−m−2n−1,α	i2−l)−m−2n−1,α	NOUN
ejpam-3455	390	12	)	)	PUNCT
ejpam-3455	390	13	]	]	PUNCT
ejpam-3455	391	1	+	+	ADP
ejpam-3455	391	2	uω	uω	ADV
ejpam-3455	391	3	∞∑	∞∑	PROPN
ejpam-3455	391	4	i=0	i=0	PROPN
ejpam-3455	391	5	(	(	PUNCT
ejpam-3455	391	6	−	−	PUNCT
ejpam-3455	391	7	θ1√	θ1√	NOUN
ejpam-3455	391	8	ν	ν	NOUN
ejpam-3455	391	9	)	)	PUNCT
ejpam-3455	392	1	i	i	PRON
ejpam-3455	392	2	∞∑	∞∑	NUM
ejpam-3455	392	3	k=1	k=1	ADP
ejpam-3455	393	1	1	1	NUM
ejpam-3455	393	2	k	k	NOUN
ejpam-3455	393	3	!	!	PUNCT
ejpam-3455	394	1	(	(	PUNCT
ejpam-3455	394	2	−	−	PROPN
ejpam-3455	394	3	y√	y√	NOUN
ejpam-3455	394	4	ν	ν	NOUN
ejpam-3455	394	5	)	)	PUNCT
ejpam-3455	395	1	k	k	PROPN
ejpam-3455	395	2	∞∑	∞∑	NUM
ejpam-3455	395	3	l=0	l=0	PROPN
ejpam-3455	395	4	(	(	PUNCT
ejpam-3455	395	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	395	6	l	l	NOUN
ejpam-3455	395	7	!	!	PUNCT
ejpam-3455	396	1	∞∑	∞∑	ADJ
ejpam-3455	396	2	m=0	m=0	PROPN
ejpam-3455	396	3	(	(	PUNCT
ejpam-3455	396	4	−m)m	−m)m	NOUN
ejpam-3455	396	5	m	m	VERB
ejpam-3455	396	6	!	!	PUNCT
ejpam-3455	397	1	∞∑	∞∑	ADJ
ejpam-3455	397	2	n=0	n=0	NUM
ejpam-3455	397	3	(	(	PUNCT
ejpam-3455	397	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	397	5	(	(	PUNCT
ejpam-3455	397	6	i+k	i+k	NUM
ejpam-3455	397	7	2	2	NUM
ejpam-3455	397	8	−l	−l	NOUN
ejpam-3455	397	9	)	)	PUNCT
ejpam-3455	397	10	×m1,3	×m1,3	PROPN
ejpam-3455	397	11	3,5	3,5	NUM
ejpam-3455	397	12	[	[	PUNCT
ejpam-3455	397	13	tα	tα	NUM
ejpam-3455	397	14	λα	λα	PROPN
ejpam-3455	397	15	∣∣∣∣(1	∣∣∣∣(1	ADJ
ejpam-3455	397	16	+	+	CCONJ
ejpam-3455	397	17	i+k	i+k	NUM
ejpam-3455	397	18	2	2	NUM
ejpam-3455	397	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	397	20	+	+	NOUN
ejpam-3455	397	21	i+k	i+k	NUM
ejpam-3455	397	22	2	2	NUM
ejpam-3455	397	23	−l−m,0),(1	−l−m,0),(1	NUM
ejpam-3455	397	24	+	+	CCONJ
ejpam-3455	397	25	i+k	i+k	NUM
ejpam-3455	397	26	2	2	NUM
ejpam-3455	397	27	−l,1	−l,1	PROPN
ejpam-3455	397	28	)	)	PUNCT
ejpam-3455	397	29	(	(	PUNCT
ejpam-3455	397	30	0,1),(1	0,1),(1	NUM
ejpam-3455	397	31	+	+	SYM
ejpam-3455	397	32	i+k	i+k	NUM
ejpam-3455	397	33	2	2	NUM
ejpam-3455	397	34	,	,	PUNCT
ejpam-3455	397	35	0),(1	0),(1	PROPN
ejpam-3455	397	36	+	+	CCONJ
ejpam-3455	397	37	i+k	i+k	NUM
ejpam-3455	397	38	2	2	NUM
ejpam-3455	397	39	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	397	40	+	+	X
ejpam-3455	397	41	i+k	i+k	NUM
ejpam-3455	397	42	2	2	NUM
ejpam-3455	397	43	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	397	44	)	)	PUNCT
ejpam-3455	397	45	(	(	PUNCT
ejpam-3455	397	46	i+k2	i+k2	PROPN
ejpam-3455	397	47	−l)−m−2n−1,α	−l)−m−2n−1,α	NOUN
ejpam-3455	397	48	)	)	PUNCT
ejpam-3455	397	49	]	]	PUNCT
ejpam-3455	397	50	,	,	PUNCT
ejpam-3455	397	51	(	(	PUNCT
ejpam-3455	397	52	42	42	NUM
ejpam-3455	397	53	)	)	PUNCT
ejpam-3455	397	54	uc(y	uc(y	ADV
ejpam-3455	397	55	,	,	PUNCT
ejpam-3455	397	56	t	t	PROPN
ejpam-3455	397	57	)	)	PUNCT
ejpam-3455	397	58	=	=	SYM
ejpam-3455	397	59	uh(t	uh(t	X
ejpam-3455	397	60	)	)	PUNCT
ejpam-3455	397	61	cos(ωt	cos(ωt	PRON
ejpam-3455	397	62	)	)	PUNCT
ejpam-3455	397	63	+	+	NOUN
ejpam-3455	397	64	uh(t	uh(t	X
ejpam-3455	397	65	)	)	PUNCT
ejpam-3455	397	66	∞∑	∞∑	NUM
ejpam-3455	397	67	i=1	i=1	X
ejpam-3455	397	68	(	(	PUNCT
ejpam-3455	397	69	−	−	PROPN
ejpam-3455	397	70	θ1√	θ1√	NOUN
ejpam-3455	397	71	ν	ν	NOUN
ejpam-3455	397	72	)	)	PUNCT
ejpam-3455	398	1	i	i	PRON
ejpam-3455	398	2	∞∑	∞∑	NUM
ejpam-3455	398	3	l=0	l=0	PROPN
ejpam-3455	398	4	(	(	PUNCT
ejpam-3455	398	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	398	6	l	l	NOUN
ejpam-3455	398	7	!	!	PUNCT
ejpam-3455	399	1	∞∑	∞∑	ADJ
ejpam-3455	399	2	m=0	m=0	PROPN
ejpam-3455	399	3	(	(	PUNCT
ejpam-3455	399	4	−m)m	−m)m	NOUN
ejpam-3455	399	5	m	m	VERB
ejpam-3455	399	6	!	!	PUNCT
ejpam-3455	400	1	∞∑	∞∑	ADJ
ejpam-3455	400	2	n=0	n=0	NUM
ejpam-3455	400	3	(	(	PUNCT
ejpam-3455	400	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	400	5	(	(	PUNCT
ejpam-3455	400	6	i	i	PROPN
ejpam-3455	400	7	2	2	NUM
ejpam-3455	400	8	−l	−l	NOUN
ejpam-3455	400	9	)	)	PUNCT
ejpam-3455	400	10	×m1,3	×m1,3	PROPN
ejpam-3455	400	11	3,5	3,5	NUM
ejpam-3455	400	12	[	[	PUNCT
ejpam-3455	400	13	tα	tα	NUM
ejpam-3455	400	14	λα	λα	PROPN
ejpam-3455	400	15	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	400	16	+	+	CCONJ
ejpam-3455	400	17	i	i	PROPN
ejpam-3455	400	18	2	2	NUM
ejpam-3455	400	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	400	20	+	+	NOUN
ejpam-3455	400	21	i	i	PROPN
ejpam-3455	400	22	2	2	NUM
ejpam-3455	400	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	401	1	+	+	NUM
ejpam-3455	401	2	i	i	PROPN
ejpam-3455	401	3	2	2	NUM
ejpam-3455	401	4	−l,1	−l,1	PROPN
ejpam-3455	401	5	)	)	PUNCT
ejpam-3455	401	6	(	(	PUNCT
ejpam-3455	401	7	0,1),(1	0,1),(1	NUM
ejpam-3455	401	8	+	+	SYM
ejpam-3455	401	9	i	i	NOUN
ejpam-3455	401	10	2	2	NUM
ejpam-3455	401	11	,	,	PUNCT
ejpam-3455	401	12	0),(1	0),(1	PROPN
ejpam-3455	402	1	+	+	NUM
ejpam-3455	402	2	i	i	NOUN
ejpam-3455	402	3	2	2	NUM
ejpam-3455	402	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	402	5	+	+	NOUN
ejpam-3455	402	6	i	i	NOUN
ejpam-3455	402	7	2	2	NUM
ejpam-3455	402	8	−l,0),((1+α	−l,0),((1+α	ADJ
ejpam-3455	402	9	)	)	PUNCT
ejpam-3455	402	10	(	(	PUNCT
ejpam-3455	402	11	i2−l)−m−2n	i2−l)−m−2n	PROPN
ejpam-3455	402	12	,	,	PUNCT
ejpam-3455	402	13	α	α	NOUN
ejpam-3455	402	14	)	)	PUNCT
ejpam-3455	402	15	]	]	PUNCT
ejpam-3455	403	1	+	+	X
ejpam-3455	403	2	uh(t	uh(t	X
ejpam-3455	403	3	)	)	PUNCT
ejpam-3455	403	4	∞∑	∞∑	PROPN
ejpam-3455	403	5	i=0	i=0	PROPN
ejpam-3455	403	6	(	(	PUNCT
ejpam-3455	403	7	−	−	PUNCT
ejpam-3455	403	8	θ1√	θ1√	NOUN
ejpam-3455	403	9	ν	ν	NOUN
ejpam-3455	403	10	)	)	PUNCT
ejpam-3455	403	11	i	i	PRON
ejpam-3455	403	12	∞∑	∞∑	NUM
ejpam-3455	403	13	k=1	k=1	ADP
ejpam-3455	403	14	1	1	NUM
ejpam-3455	403	15	k	k	NOUN
ejpam-3455	403	16	!	!	PUNCT
ejpam-3455	404	1	(	(	PUNCT
ejpam-3455	404	2	−	−	PROPN
ejpam-3455	404	3	y√	y√	NOUN
ejpam-3455	404	4	ν	ν	NOUN
ejpam-3455	404	5	)	)	PUNCT
ejpam-3455	405	1	k	k	PROPN
ejpam-3455	405	2	∞∑	∞∑	NUM
ejpam-3455	405	3	l=0	l=0	PROPN
ejpam-3455	405	4	(	(	PUNCT
ejpam-3455	405	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	405	6	l	l	NOUN
ejpam-3455	405	7	!	!	PUNCT
ejpam-3455	406	1	∞∑	∞∑	ADJ
ejpam-3455	406	2	m=0	m=0	PROPN
ejpam-3455	406	3	(	(	PUNCT
ejpam-3455	406	4	−m)m	−m)m	NOUN
ejpam-3455	406	5	m	m	VERB
ejpam-3455	406	6	!	!	PUNCT
ejpam-3455	407	1	∞∑	∞∑	ADJ
ejpam-3455	407	2	n=0	n=0	NUM
ejpam-3455	407	3	(	(	PUNCT
ejpam-3455	407	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	407	5	(	(	PUNCT
ejpam-3455	407	6	i+k	i+k	NUM
ejpam-3455	407	7	2	2	NUM
ejpam-3455	407	8	−l	−l	NOUN
ejpam-3455	407	9	)	)	PUNCT
ejpam-3455	407	10	×m1,3	×m1,3	PROPN
ejpam-3455	407	11	3,5	3,5	NUM
ejpam-3455	407	12	[	[	PUNCT
ejpam-3455	407	13	tα	tα	NUM
ejpam-3455	407	14	λα	λα	PROPN
ejpam-3455	407	15	∣∣∣∣(1	∣∣∣∣(1	ADJ
ejpam-3455	407	16	+	+	CCONJ
ejpam-3455	407	17	i+k	i+k	NUM
ejpam-3455	407	18	2	2	NUM
ejpam-3455	407	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	407	20	+	+	NOUN
ejpam-3455	407	21	i+k	i+k	NUM
ejpam-3455	407	22	2	2	NUM
ejpam-3455	407	23	−l−m,0),(1	−l−m,0),(1	NUM
ejpam-3455	407	24	+	+	CCONJ
ejpam-3455	407	25	i+k	i+k	NUM
ejpam-3455	407	26	2	2	NUM
ejpam-3455	407	27	−l,1	−l,1	PROPN
ejpam-3455	407	28	)	)	PUNCT
ejpam-3455	407	29	(	(	PUNCT
ejpam-3455	407	30	0,1),(1	0,1),(1	NUM
ejpam-3455	407	31	+	+	SYM
ejpam-3455	407	32	i+k	i+k	NUM
ejpam-3455	407	33	2	2	NUM
ejpam-3455	407	34	,	,	PUNCT
ejpam-3455	407	35	0),(1	0),(1	PROPN
ejpam-3455	407	36	+	+	CCONJ
ejpam-3455	407	37	i+k	i+k	NUM
ejpam-3455	407	38	2	2	NUM
ejpam-3455	407	39	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	407	40	+	+	X
ejpam-3455	407	41	i+k	i+k	NUM
ejpam-3455	407	42	2	2	NUM
ejpam-3455	407	43	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	407	44	)	)	PUNCT
ejpam-3455	407	45	(	(	PUNCT
ejpam-3455	407	46	i+k2	i+k2	PROPN
ejpam-3455	407	47	−l)−m−2n	−l)−m−2n	PROPN
ejpam-3455	407	48	,	,	PUNCT
ejpam-3455	407	49	α	α	NOUN
ejpam-3455	407	50	)	)	PUNCT
ejpam-3455	407	51	]	]	PUNCT
ejpam-3455	407	52	,	,	PUNCT
ejpam-3455	407	53	(	(	PUNCT
ejpam-3455	407	54	43	43	NUM
ejpam-3455	407	55	)	)	PUNCT
ejpam-3455	407	56	and	and	CCONJ
ejpam-3455	407	57	τs(y	τs(y	NUM
ejpam-3455	407	58	,	,	PUNCT
ejpam-3455	407	59	t	t	PROPN
ejpam-3455	407	60	)	)	PUNCT
ejpam-3455	407	61	=	=	SYM
ejpam-3455	408	1	−uµω√	−uµω√	NUM
ejpam-3455	408	2	ν	ν	NOUN
ejpam-3455	408	3	∞∑	∞∑	PROPN
ejpam-3455	408	4	i=0	i=0	PROPN
ejpam-3455	408	5	(	(	PUNCT
ejpam-3455	408	6	−	−	PUNCT
ejpam-3455	408	7	θ1√	θ1√	NOUN
ejpam-3455	408	8	ν	ν	NOUN
ejpam-3455	408	9	)	)	PUNCT
ejpam-3455	409	1	i	i	PRON
ejpam-3455	409	2	∞∑	∞∑	ADJ
ejpam-3455	409	3	k=0	k=0	PROPN
ejpam-3455	409	4	1	1	NUM
ejpam-3455	409	5	k	k	NOUN
ejpam-3455	409	6	!	!	PUNCT
ejpam-3455	410	1	(	(	PUNCT
ejpam-3455	410	2	−	−	PROPN
ejpam-3455	410	3	y√	y√	NOUN
ejpam-3455	410	4	ν	ν	NOUN
ejpam-3455	410	5	)	)	PUNCT
ejpam-3455	411	1	k	k	PROPN
ejpam-3455	411	2	∞∑	∞∑	NUM
ejpam-3455	411	3	l=0	l=0	PROPN
ejpam-3455	411	4	(	(	PUNCT
ejpam-3455	411	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	411	6	l	l	NOUN
ejpam-3455	411	7	!	!	PUNCT
ejpam-3455	412	1	∞∑	∞∑	ADJ
ejpam-3455	412	2	m=0	m=0	PROPN
ejpam-3455	412	3	(	(	PUNCT
ejpam-3455	412	4	−m)m	−m)m	NOUN
ejpam-3455	412	5	m	m	VERB
ejpam-3455	412	6	!	!	PUNCT
ejpam-3455	413	1	∞∑	∞∑	ADJ
ejpam-3455	413	2	n=0	n=0	NUM
ejpam-3455	413	3	(	(	PUNCT
ejpam-3455	413	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	413	5	(	(	PUNCT
ejpam-3455	413	6	i+k−1	i+k−1	PROPN
ejpam-3455	413	7	2	2	NUM
ejpam-3455	413	8	−l	−l	NOUN
ejpam-3455	413	9	)	)	PUNCT
ejpam-3455	413	10	m.	m.	NOUN
ejpam-3455	413	11	jamil	jamil	PROPN
ejpam-3455	413	12	,	,	PUNCT
ejpam-3455	413	13	i.	i.	PROPN
ejpam-3455	413	14	ahmed	ahmed	PROPN
ejpam-3455	413	15	/	/	PUNCT
ejpam-3455	413	16	eur	eur	PROPN
ejpam-3455	413	17	.	.	PUNCT
ejpam-3455	414	1	j.	j.	PROPN
ejpam-3455	414	2	pure	pure	PROPN
ejpam-3455	414	3	appl	appl	PROPN
ejpam-3455	414	4	.	.	PROPN
ejpam-3455	414	5	math	math	PROPN
ejpam-3455	414	6	,	,	PUNCT
ejpam-3455	414	7	12	12	NUM
ejpam-3455	414	8	(	(	PUNCT
ejpam-3455	414	9	3	3	NUM
ejpam-3455	414	10	)	)	PUNCT
ejpam-3455	414	11	(	(	PUNCT
ejpam-3455	414	12	2019	2019	NUM
ejpam-3455	414	13	)	)	PUNCT
ejpam-3455	414	14	,	,	PUNCT
ejpam-3455	414	15	1018	1018	NUM
ejpam-3455	414	16	-	-	SYM
ejpam-3455	414	17	1051	1051	NUM
ejpam-3455	414	18	1035	1035	NUM
ejpam-3455	414	19	×m1,3	×m1,3	PROPN
ejpam-3455	414	20	3,5	3,5	NUM
ejpam-3455	414	21	[	[	PUNCT
ejpam-3455	414	22	tα	tα	NUM
ejpam-3455	414	23	λα	λα	PROPN
ejpam-3455	414	24	∣∣∣∣(1	∣∣∣∣(1	ADJ
ejpam-3455	414	25	+	+	CCONJ
ejpam-3455	414	26	i+k+1	i+k+1	ADJ
ejpam-3455	414	27	2	2	NUM
ejpam-3455	414	28	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	414	29	+	+	NOUN
ejpam-3455	414	30	i+k+1	i+k+1	ADJ
ejpam-3455	414	31	2	2	NUM
ejpam-3455	414	32	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	414	33	+	+	NOUN
ejpam-3455	414	34	i+k−1	i+k−1	PROPN
ejpam-3455	414	35	2	2	NUM
ejpam-3455	414	36	−l,1	−l,1	PROPN
ejpam-3455	414	37	)	)	PUNCT
ejpam-3455	414	38	(	(	PUNCT
ejpam-3455	414	39	0,1),(1	0,1),(1	NUM
ejpam-3455	414	40	+	+	X
ejpam-3455	414	41	i+k+1	i+k+1	ADJ
ejpam-3455	414	42	2	2	NUM
ejpam-3455	414	43	,	,	PUNCT
ejpam-3455	414	44	0),(1	0),(1	PROPN
ejpam-3455	415	1	+	+	X
ejpam-3455	415	2	i+k+1	i+k+1	ADJ
ejpam-3455	415	3	2	2	NUM
ejpam-3455	415	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	415	5	+	+	NOUN
ejpam-3455	415	6	i+k−1	i+k−1	PROPN
ejpam-3455	415	7	2	2	NUM
ejpam-3455	415	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	415	9	)	)	PUNCT
ejpam-3455	415	10	(	(	PUNCT
ejpam-3455	415	11	i+k2	i+k2	VERB
ejpam-3455	415	12	−l)+	−l)+	NOUN
ejpam-3455	415	13	1	1	NUM
ejpam-3455	415	14	2	2	NUM
ejpam-3455	415	15	(	(	PUNCT
ejpam-3455	415	16	1−α)−m−2n−1,α	1−α)−m−2n−1,α	NUM
ejpam-3455	415	17	)	)	PUNCT
ejpam-3455	415	18	]	]	PUNCT
ejpam-3455	415	19	,	,	PUNCT
ejpam-3455	415	20	(	(	PUNCT
ejpam-3455	415	21	44	44	NUM
ejpam-3455	415	22	)	)	PUNCT
ejpam-3455	415	23	τc(y	τc(y	PUNCT
ejpam-3455	415	24	,	,	PUNCT
ejpam-3455	415	25	t	t	PROPN
ejpam-3455	415	26	)	)	PUNCT
ejpam-3455	415	27	=	=	SYM
ejpam-3455	415	28	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	415	29	ν	ν	PROPN
ejpam-3455	415	30	∞∑	∞∑	PROPN
ejpam-3455	415	31	i=0	i=0	PROPN
ejpam-3455	415	32	(	(	PUNCT
ejpam-3455	415	33	−	−	PUNCT
ejpam-3455	415	34	θ1√	θ1√	NOUN
ejpam-3455	415	35	ν	ν	NOUN
ejpam-3455	415	36	)	)	PUNCT
ejpam-3455	415	37	i	i	PRON
ejpam-3455	415	38	∞∑	∞∑	ADJ
ejpam-3455	415	39	k=0	k=0	PROPN
ejpam-3455	415	40	1	1	NUM
ejpam-3455	415	41	k	k	NOUN
ejpam-3455	415	42	!	!	PUNCT
ejpam-3455	416	1	(	(	PUNCT
ejpam-3455	416	2	−	−	PROPN
ejpam-3455	416	3	y√	y√	NOUN
ejpam-3455	416	4	ν	ν	NOUN
ejpam-3455	416	5	)	)	PUNCT
ejpam-3455	417	1	k	k	PROPN
ejpam-3455	417	2	∞∑	∞∑	NUM
ejpam-3455	417	3	l=0	l=0	PROPN
ejpam-3455	417	4	(	(	PUNCT
ejpam-3455	417	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	417	6	l	l	NOUN
ejpam-3455	417	7	!	!	PUNCT
ejpam-3455	418	1	∞∑	∞∑	ADJ
ejpam-3455	418	2	m=0	m=0	PROPN
ejpam-3455	418	3	(	(	PUNCT
ejpam-3455	418	4	−m)m	−m)m	NOUN
ejpam-3455	418	5	m	m	VERB
ejpam-3455	418	6	!	!	PUNCT
ejpam-3455	419	1	∞∑	∞∑	ADJ
ejpam-3455	419	2	n=0	n=0	NUM
ejpam-3455	419	3	(	(	PUNCT
ejpam-3455	419	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	419	5	(	(	PUNCT
ejpam-3455	419	6	i+k−1	i+k−1	PROPN
ejpam-3455	419	7	2	2	NUM
ejpam-3455	419	8	−l	−l	NOUN
ejpam-3455	419	9	)	)	PUNCT
ejpam-3455	419	10	×m1,3	×m1,3	PROPN
ejpam-3455	419	11	3,5	3,5	NUM
ejpam-3455	419	12	[	[	PUNCT
ejpam-3455	419	13	tα	tα	NUM
ejpam-3455	419	14	λα	λα	PROPN
ejpam-3455	419	15	∣∣∣∣(1	∣∣∣∣(1	ADJ
ejpam-3455	419	16	+	+	CCONJ
ejpam-3455	419	17	i+k+1	i+k+1	ADJ
ejpam-3455	419	18	2	2	NUM
ejpam-3455	419	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	419	20	+	+	NOUN
ejpam-3455	419	21	i+k+1	i+k+1	ADJ
ejpam-3455	419	22	2	2	NUM
ejpam-3455	419	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	419	24	+	+	NOUN
ejpam-3455	419	25	i+k−1	i+k−1	PROPN
ejpam-3455	419	26	2	2	NUM
ejpam-3455	419	27	−l,1	−l,1	PROPN
ejpam-3455	419	28	)	)	PUNCT
ejpam-3455	419	29	(	(	PUNCT
ejpam-3455	419	30	0,1),(1	0,1),(1	NUM
ejpam-3455	419	31	+	+	X
ejpam-3455	419	32	i+k+1	i+k+1	ADJ
ejpam-3455	419	33	2	2	NUM
ejpam-3455	419	34	,	,	PUNCT
ejpam-3455	419	35	0),(1	0),(1	PROPN
ejpam-3455	420	1	+	+	X
ejpam-3455	420	2	i+k+1	i+k+1	ADJ
ejpam-3455	420	3	2	2	NUM
ejpam-3455	420	4	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	420	5	+	+	NOUN
ejpam-3455	420	6	i+k−1	i+k−1	PROPN
ejpam-3455	420	7	2	2	NUM
ejpam-3455	420	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	420	9	)	)	PUNCT
ejpam-3455	420	10	(	(	PUNCT
ejpam-3455	420	11	i+k2	i+k2	VERB
ejpam-3455	420	12	−l)+	−l)+	NOUN
ejpam-3455	420	13	1	1	NUM
ejpam-3455	420	14	2	2	NUM
ejpam-3455	420	15	(	(	PUNCT
ejpam-3455	420	16	1−α)−m−2n	1−α)−m−2n	PROPN
ejpam-3455	420	17	,	,	PUNCT
ejpam-3455	420	18	α	α	NOUN
ejpam-3455	420	19	)	)	PUNCT
ejpam-3455	420	20	]	]	PUNCT
ejpam-3455	420	21	.	.	PUNCT
ejpam-3455	421	1	(	(	PUNCT
ejpam-3455	421	2	45	45	NUM
ejpam-3455	421	3	)	)	PUNCT
ejpam-3455	421	4	4.6	4.6	NUM
ejpam-3455	421	5	.	.	PUNCT
ejpam-3455	421	6	fractionalized	fractionalize	VERB
ejpam-3455	421	7	mhd	mhd	PROPN
ejpam-3455	421	8	maxwell	maxwell	PROPN
ejpam-3455	421	9	fluid	fluid	NOUN
ejpam-3455	421	10	in	in	ADP
ejpam-3455	421	11	porous	porous	ADJ
ejpam-3455	421	12	medium	medium	NOUN
ejpam-3455	421	13	with	with	ADP
ejpam-3455	421	14	no	no	DET
ejpam-3455	421	15	slip	slip	NOUN
ejpam-3455	421	16	the	the	DET
ejpam-3455	421	17	general	general	ADJ
ejpam-3455	421	18	solutions	solution	NOUN
ejpam-3455	421	19	for	for	ADP
ejpam-3455	421	20	no	no	DET
ejpam-3455	421	21	slip	slip	NOUN
ejpam-3455	421	22	condition	condition	NOUN
ejpam-3455	421	23	is	be	AUX
ejpam-3455	421	24	obtained	obtain	VERB
ejpam-3455	421	25	by	by	ADP
ejpam-3455	421	26	considering	consider	VERB
ejpam-3455	421	27	θ1	θ1	NOUN
ejpam-3455	421	28	→	→	SYM
ejpam-3455	421	29	0	0	NUM
ejpam-3455	421	30	and	and	CCONJ
ejpam-3455	421	31	θ2	θ2	PROPN
ejpam-3455	421	32	→	→	SYM
ejpam-3455	421	33	0	0	PROPN
ejpam-3455	421	34	into	into	ADP
ejpam-3455	421	35	eq	eq	NOUN
ejpam-3455	421	36	.	.	PUNCT
ejpam-3455	422	1	(	(	PUNCT
ejpam-3455	422	2	17	17	NUM
ejpam-3455	422	3	)	)	PUNCT
ejpam-3455	422	4	,	,	PUNCT
ejpam-3455	422	5	(	(	PUNCT
ejpam-3455	422	6	19	19	NUM
ejpam-3455	422	7	)	)	PUNCT
ejpam-3455	422	8	,	,	PUNCT
ejpam-3455	422	9	(	(	PUNCT
ejpam-3455	422	10	24	24	NUM
ejpam-3455	422	11	)	)	PUNCT
ejpam-3455	422	12	and	and	CCONJ
ejpam-3455	422	13	(	(	PUNCT
ejpam-3455	422	14	25	25	NUM
ejpam-3455	422	15	)	)	PUNCT
ejpam-3455	422	16	,	,	PUNCT
ejpam-3455	422	17	provide	provide	VERB
ejpam-3455	422	18	us(y	us(y	PROPN
ejpam-3455	422	19	,	,	PUNCT
ejpam-3455	422	20	t	t	PROPN
ejpam-3455	422	21	)	)	PUNCT
ejpam-3455	422	22	=	=	SYM
ejpam-3455	422	23	u	u	NOUN
ejpam-3455	422	24	sin(ωt	sin(ωt	NOUN
ejpam-3455	422	25	)	)	PUNCT
ejpam-3455	423	1	+	+	CCONJ
ejpam-3455	423	2	uω	uω	ADV
ejpam-3455	423	3	∞∑	∞∑	NUM
ejpam-3455	423	4	k=1	k=1	ADP
ejpam-3455	423	5	1	1	NUM
ejpam-3455	424	1	k	k	NOUN
ejpam-3455	424	2	!	!	PUNCT
ejpam-3455	425	1	(	(	PUNCT
ejpam-3455	425	2	−	−	PROPN
ejpam-3455	425	3	y√	y√	NOUN
ejpam-3455	425	4	ν	ν	NOUN
ejpam-3455	425	5	)	)	PUNCT
ejpam-3455	426	1	k	k	PROPN
ejpam-3455	426	2	∞∑	∞∑	NUM
ejpam-3455	426	3	l=0	l=0	PROPN
ejpam-3455	426	4	(	(	PUNCT
ejpam-3455	426	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	426	6	l	l	NOUN
ejpam-3455	426	7	!	!	PUNCT
ejpam-3455	427	1	∞∑	∞∑	ADJ
ejpam-3455	427	2	m=0	m=0	PROPN
ejpam-3455	427	3	(	(	PUNCT
ejpam-3455	427	4	−m)m	−m)m	NOUN
ejpam-3455	427	5	m	m	VERB
ejpam-3455	427	6	!	!	PUNCT
ejpam-3455	428	1	∞∑	∞∑	ADJ
ejpam-3455	428	2	n=0	n=0	NUM
ejpam-3455	428	3	(	(	PUNCT
ejpam-3455	428	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	428	5	(	(	PUNCT
ejpam-3455	428	6	k	k	PROPN
ejpam-3455	428	7	2	2	NUM
ejpam-3455	428	8	−l	−l	NOUN
ejpam-3455	428	9	)	)	PUNCT
ejpam-3455	428	10	×m1,3	×m1,3	PROPN
ejpam-3455	428	11	3,5	3,5	NUM
ejpam-3455	428	12	[	[	PUNCT
ejpam-3455	428	13	tα	tα	NUM
ejpam-3455	428	14	λα	λα	PROPN
ejpam-3455	428	15	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	428	16	+	+	CCONJ
ejpam-3455	428	17	k	k	PROPN
ejpam-3455	428	18	2	2	NUM
ejpam-3455	428	19	−l,0),(1	−l,0),(1	PROPN
ejpam-3455	428	20	+	+	PROPN
ejpam-3455	428	21	k	k	PROPN
ejpam-3455	428	22	2	2	NUM
ejpam-3455	428	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	428	24	+	+	CCONJ
ejpam-3455	428	25	k	k	PROPN
ejpam-3455	428	26	2	2	NUM
ejpam-3455	428	27	−l,1	−l,1	PROPN
ejpam-3455	428	28	)	)	PUNCT
ejpam-3455	428	29	(	(	PUNCT
ejpam-3455	428	30	0,1),(1	0,1),(1	NUM
ejpam-3455	428	31	+	+	X
ejpam-3455	428	32	k	k	NOUN
ejpam-3455	428	33	2	2	NUM
ejpam-3455	428	34	,	,	PUNCT
ejpam-3455	428	35	0),(1	0),(1	PROPN
ejpam-3455	429	1	+	+	CCONJ
ejpam-3455	429	2	k	k	PROPN
ejpam-3455	429	3	2	2	NUM
ejpam-3455	429	4	−l,0),(1	−l,0),(1	PROPN
ejpam-3455	429	5	+	+	PROPN
ejpam-3455	429	6	k	k	PROPN
ejpam-3455	429	7	2	2	NUM
ejpam-3455	429	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	429	9	)	)	PUNCT
ejpam-3455	429	10	(	(	PUNCT
ejpam-3455	429	11	k2−l)−m−2n−1,α	k2−l)−m−2n−1,α	PROPN
ejpam-3455	429	12	)	)	PUNCT
ejpam-3455	429	13	]	]	PUNCT
ejpam-3455	429	14	,	,	PUNCT
ejpam-3455	429	15	(	(	PUNCT
ejpam-3455	429	16	46	46	NUM
ejpam-3455	429	17	)	)	PUNCT
ejpam-3455	429	18	uc(y	uc(y	ADV
ejpam-3455	429	19	,	,	PUNCT
ejpam-3455	429	20	t	t	PROPN
ejpam-3455	429	21	)	)	PUNCT
ejpam-3455	429	22	=	=	SYM
ejpam-3455	429	23	uh(t	uh(t	X
ejpam-3455	429	24	)	)	PUNCT
ejpam-3455	429	25	cos(ωt	cos(ωt	PRON
ejpam-3455	429	26	)	)	PUNCT
ejpam-3455	429	27	+	+	NOUN
ejpam-3455	429	28	uh(t	uh(t	X
ejpam-3455	429	29	)	)	PUNCT
ejpam-3455	430	1	∞∑	∞∑	NUM
ejpam-3455	430	2	k=1	k=1	ADP
ejpam-3455	430	3	1	1	NUM
ejpam-3455	430	4	k	k	NOUN
ejpam-3455	430	5	!	!	PUNCT
ejpam-3455	431	1	(	(	PUNCT
ejpam-3455	431	2	−	−	PROPN
ejpam-3455	431	3	y√	y√	NOUN
ejpam-3455	431	4	ν	ν	NOUN
ejpam-3455	431	5	)	)	PUNCT
ejpam-3455	432	1	k	k	PROPN
ejpam-3455	432	2	∞∑	∞∑	NUM
ejpam-3455	432	3	l=0	l=0	PROPN
ejpam-3455	432	4	(	(	PUNCT
ejpam-3455	432	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	432	6	l	l	NOUN
ejpam-3455	432	7	!	!	PUNCT
ejpam-3455	433	1	∞∑	∞∑	ADJ
ejpam-3455	433	2	m=0	m=0	PROPN
ejpam-3455	433	3	(	(	PUNCT
ejpam-3455	433	4	−m)m	−m)m	NOUN
ejpam-3455	433	5	m	m	VERB
ejpam-3455	433	6	!	!	PUNCT
ejpam-3455	434	1	∞∑	∞∑	ADJ
ejpam-3455	434	2	n=0	n=0	NUM
ejpam-3455	434	3	(	(	PUNCT
ejpam-3455	434	4	−ω2)nλα	−ω2)nλα	INTJ
ejpam-3455	434	5	(	(	PUNCT
ejpam-3455	434	6	k	k	PROPN
ejpam-3455	434	7	2	2	NUM
ejpam-3455	434	8	−l	−l	NOUN
ejpam-3455	434	9	)	)	PUNCT
ejpam-3455	434	10	×m1,3	×m1,3	PROPN
ejpam-3455	434	11	3,5	3,5	NUM
ejpam-3455	434	12	[	[	PUNCT
ejpam-3455	434	13	tα	tα	NUM
ejpam-3455	434	14	λα	λα	PROPN
ejpam-3455	434	15	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	434	16	+	+	CCONJ
ejpam-3455	434	17	k	k	PROPN
ejpam-3455	434	18	2	2	NUM
ejpam-3455	434	19	−l,0),(1	−l,0),(1	PROPN
ejpam-3455	434	20	+	+	PROPN
ejpam-3455	434	21	k	k	PROPN
ejpam-3455	434	22	2	2	NUM
ejpam-3455	434	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	434	24	+	+	CCONJ
ejpam-3455	434	25	k	k	PROPN
ejpam-3455	434	26	2	2	NUM
ejpam-3455	434	27	−l,1	−l,1	PROPN
ejpam-3455	434	28	)	)	PUNCT
ejpam-3455	434	29	(	(	PUNCT
ejpam-3455	434	30	0,1),(1	0,1),(1	NUM
ejpam-3455	434	31	+	+	X
ejpam-3455	434	32	k	k	NOUN
ejpam-3455	434	33	2	2	NUM
ejpam-3455	434	34	,	,	PUNCT
ejpam-3455	434	35	0),(1	0),(1	PROPN
ejpam-3455	435	1	+	+	CCONJ
ejpam-3455	435	2	k	k	PROPN
ejpam-3455	435	3	2	2	NUM
ejpam-3455	435	4	−l,0),(1	−l,0),(1	PROPN
ejpam-3455	435	5	+	+	PROPN
ejpam-3455	435	6	k	k	PROPN
ejpam-3455	435	7	2	2	NUM
ejpam-3455	435	8	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	435	9	)	)	PUNCT
ejpam-3455	435	10	(	(	PUNCT
ejpam-3455	435	11	k2−l)−m−2n	k2−l)−m−2n	PROPN
ejpam-3455	435	12	,	,	PUNCT
ejpam-3455	435	13	α	α	NOUN
ejpam-3455	435	14	)	)	PUNCT
ejpam-3455	435	15	]	]	PUNCT
ejpam-3455	435	16	,	,	PUNCT
ejpam-3455	435	17	(	(	PUNCT
ejpam-3455	435	18	47	47	NUM
ejpam-3455	435	19	)	)	PUNCT
ejpam-3455	435	20	τs(y	τs(y	NUM
ejpam-3455	435	21	,	,	PUNCT
ejpam-3455	435	22	t	t	PROPN
ejpam-3455	435	23	)	)	PUNCT
ejpam-3455	435	24	=	=	SYM
ejpam-3455	436	1	−uµω√	−uµω√	NUM
ejpam-3455	436	2	ν	ν	NOUN
ejpam-3455	436	3	∞∑	∞∑	NUM
ejpam-3455	436	4	k=0	k=0	PROPN
ejpam-3455	436	5	1	1	NUM
ejpam-3455	436	6	k	k	NOUN
ejpam-3455	436	7	!	!	PUNCT
ejpam-3455	437	1	(	(	PUNCT
ejpam-3455	437	2	−	−	PROPN
ejpam-3455	437	3	y√	y√	NOUN
ejpam-3455	437	4	ν	ν	NOUN
ejpam-3455	437	5	)	)	PUNCT
ejpam-3455	438	1	k	k	PROPN
ejpam-3455	438	2	∞∑	∞∑	NUM
ejpam-3455	438	3	l=0	l=0	PROPN
ejpam-3455	438	4	(	(	PUNCT
ejpam-3455	438	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	438	6	l	l	NOUN
ejpam-3455	438	7	!	!	PUNCT
ejpam-3455	439	1	∞∑	∞∑	ADJ
ejpam-3455	439	2	m=0	m=0	PROPN
ejpam-3455	439	3	(	(	PUNCT
ejpam-3455	439	4	−m)m	−m)m	NOUN
ejpam-3455	439	5	m	m	VERB
ejpam-3455	439	6	!	!	PUNCT
ejpam-3455	440	1	∞∑	∞∑	ADJ
ejpam-3455	440	2	n=0	n=0	NUM
ejpam-3455	440	3	(	(	PUNCT
ejpam-3455	440	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	440	5	(	(	PUNCT
ejpam-3455	440	6	k−1	k−1	PROPN
ejpam-3455	440	7	2	2	NUM
ejpam-3455	440	8	−l	−l	NOUN
ejpam-3455	440	9	)	)	PUNCT
ejpam-3455	440	10	m.	m.	NOUN
ejpam-3455	440	11	jamil	jamil	PROPN
ejpam-3455	440	12	,	,	PUNCT
ejpam-3455	440	13	i.	i.	PROPN
ejpam-3455	440	14	ahmed	ahmed	PROPN
ejpam-3455	440	15	/	/	PUNCT
ejpam-3455	440	16	eur	eur	PROPN
ejpam-3455	440	17	.	.	PUNCT
ejpam-3455	441	1	j.	j.	PROPN
ejpam-3455	441	2	pure	pure	PROPN
ejpam-3455	441	3	appl	appl	PROPN
ejpam-3455	441	4	.	.	PROPN
ejpam-3455	441	5	math	math	PROPN
ejpam-3455	441	6	,	,	PUNCT
ejpam-3455	441	7	12	12	NUM
ejpam-3455	441	8	(	(	PUNCT
ejpam-3455	441	9	3	3	NUM
ejpam-3455	441	10	)	)	PUNCT
ejpam-3455	441	11	(	(	PUNCT
ejpam-3455	441	12	2019	2019	NUM
ejpam-3455	441	13	)	)	PUNCT
ejpam-3455	441	14	,	,	PUNCT
ejpam-3455	441	15	1018	1018	NUM
ejpam-3455	441	16	-	-	SYM
ejpam-3455	441	17	1051	1051	NUM
ejpam-3455	441	18	1036	1036	NUM
ejpam-3455	441	19	×m1,3	×m1,3	NOUN
ejpam-3455	441	20	3,5	3,5	NUM
ejpam-3455	441	21	[	[	PUNCT
ejpam-3455	441	22	tα	tα	NUM
ejpam-3455	441	23	λα	λα	PROPN
ejpam-3455	441	24	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	441	25	+	+	CCONJ
ejpam-3455	441	26	k+1	k+1	NOUN
ejpam-3455	441	27	2	2	NUM
ejpam-3455	441	28	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	441	29	+	+	NOUN
ejpam-3455	441	30	k+1	k+1	NOUN
ejpam-3455	441	31	2	2	NUM
ejpam-3455	441	32	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	441	33	+	+	NOUN
ejpam-3455	441	34	k−1	k−1	PROPN
ejpam-3455	441	35	2	2	NUM
ejpam-3455	441	36	−l,1	−l,1	PROPN
ejpam-3455	441	37	)	)	PUNCT
ejpam-3455	441	38	(	(	PUNCT
ejpam-3455	441	39	0,1),(1	0,1),(1	NUM
ejpam-3455	441	40	+	+	X
ejpam-3455	441	41	k+1	k+1	X
ejpam-3455	441	42	2	2	NUM
ejpam-3455	441	43	,	,	PUNCT
ejpam-3455	441	44	0),(1	0),(1	PROPN
ejpam-3455	441	45	+	+	CCONJ
ejpam-3455	441	46	k+1	k+1	X
ejpam-3455	441	47	2	2	NUM
ejpam-3455	441	48	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	441	49	+	+	NOUN
ejpam-3455	441	50	k−1	k−1	PROPN
ejpam-3455	441	51	2	2	NUM
ejpam-3455	441	52	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	441	53	)	)	PUNCT
ejpam-3455	441	54	(	(	PUNCT
ejpam-3455	441	55	k2−l)+	k2−l)+	NOUN
ejpam-3455	441	56	1	1	NUM
ejpam-3455	441	57	2	2	NUM
ejpam-3455	441	58	(	(	PUNCT
ejpam-3455	441	59	1−α)−m−2n−1,α	1−α)−m−2n−1,α	NUM
ejpam-3455	441	60	)	)	PUNCT
ejpam-3455	441	61	]	]	PUNCT
ejpam-3455	441	62	,	,	PUNCT
ejpam-3455	441	63	(	(	PUNCT
ejpam-3455	441	64	48	48	NUM
ejpam-3455	441	65	)	)	PUNCT
ejpam-3455	441	66	τc(y	τc(y	PUNCT
ejpam-3455	441	67	,	,	PUNCT
ejpam-3455	441	68	t	t	PROPN
ejpam-3455	441	69	)	)	PUNCT
ejpam-3455	441	70	=	=	SYM
ejpam-3455	442	1	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	442	2	ν	ν	PROPN
ejpam-3455	442	3	∞∑	∞∑	NUM
ejpam-3455	442	4	k=0	k=0	PROPN
ejpam-3455	442	5	1	1	NUM
ejpam-3455	442	6	k	k	NOUN
ejpam-3455	442	7	!	!	PUNCT
ejpam-3455	443	1	(	(	PUNCT
ejpam-3455	443	2	−	−	PROPN
ejpam-3455	443	3	y√	y√	NOUN
ejpam-3455	443	4	ν	ν	NOUN
ejpam-3455	443	5	)	)	PUNCT
ejpam-3455	444	1	k	k	PROPN
ejpam-3455	444	2	∞∑	∞∑	NUM
ejpam-3455	444	3	l=0	l=0	PROPN
ejpam-3455	444	4	(	(	PUNCT
ejpam-3455	444	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	444	6	l	l	NOUN
ejpam-3455	444	7	!	!	PUNCT
ejpam-3455	445	1	∞∑	∞∑	ADJ
ejpam-3455	445	2	m=0	m=0	PROPN
ejpam-3455	445	3	(	(	PUNCT
ejpam-3455	445	4	−m)m	−m)m	NOUN
ejpam-3455	445	5	m	m	VERB
ejpam-3455	445	6	!	!	PUNCT
ejpam-3455	446	1	∞∑	∞∑	ADJ
ejpam-3455	446	2	n=0	n=0	NUM
ejpam-3455	446	3	(	(	PUNCT
ejpam-3455	446	4	−ω2)nλα	−ω2)nλα	PROPN
ejpam-3455	446	5	(	(	PUNCT
ejpam-3455	446	6	k−1	k−1	PROPN
ejpam-3455	446	7	2	2	NUM
ejpam-3455	446	8	−l	−l	NOUN
ejpam-3455	446	9	)	)	PUNCT
ejpam-3455	446	10	×m1,3	×m1,3	PROPN
ejpam-3455	446	11	3,5	3,5	NUM
ejpam-3455	446	12	[	[	PUNCT
ejpam-3455	446	13	tα	tα	NUM
ejpam-3455	446	14	λα	λα	PROPN
ejpam-3455	446	15	∣∣∣∣(1	∣∣∣∣(1	NOUN
ejpam-3455	446	16	+	+	CCONJ
ejpam-3455	446	17	k+1	k+1	NOUN
ejpam-3455	446	18	2	2	NUM
ejpam-3455	446	19	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	446	20	+	+	NOUN
ejpam-3455	446	21	k+1	k+1	NOUN
ejpam-3455	446	22	2	2	NUM
ejpam-3455	446	23	−l−m,0),(1	−l−m,0),(1	NOUN
ejpam-3455	446	24	+	+	NOUN
ejpam-3455	446	25	k−1	k−1	PROPN
ejpam-3455	446	26	2	2	NUM
ejpam-3455	446	27	−l,1	−l,1	PROPN
ejpam-3455	446	28	)	)	PUNCT
ejpam-3455	446	29	(	(	PUNCT
ejpam-3455	446	30	0,1),(1	0,1),(1	NUM
ejpam-3455	446	31	+	+	X
ejpam-3455	446	32	k+1	k+1	X
ejpam-3455	446	33	2	2	NUM
ejpam-3455	446	34	,	,	PUNCT
ejpam-3455	446	35	0),(1	0),(1	PROPN
ejpam-3455	446	36	+	+	CCONJ
ejpam-3455	446	37	k+1	k+1	X
ejpam-3455	446	38	2	2	NUM
ejpam-3455	446	39	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	446	40	+	+	NOUN
ejpam-3455	446	41	k−1	k−1	PROPN
ejpam-3455	446	42	2	2	NUM
ejpam-3455	446	43	−l,0),((1+α	−l,0),((1+α	NUM
ejpam-3455	446	44	)	)	PUNCT
ejpam-3455	446	45	(	(	PUNCT
ejpam-3455	446	46	k2−l)+	k2−l)+	NOUN
ejpam-3455	446	47	1	1	NUM
ejpam-3455	446	48	2	2	NUM
ejpam-3455	446	49	(	(	PUNCT
ejpam-3455	446	50	1−α)−m−2n	1−α)−m−2n	PROPN
ejpam-3455	446	51	,	,	PUNCT
ejpam-3455	446	52	α	α	NOUN
ejpam-3455	446	53	)	)	PUNCT
ejpam-3455	446	54	]	]	PUNCT
ejpam-3455	446	55	.	.	PUNCT
ejpam-3455	447	1	(	(	PUNCT
ejpam-3455	447	2	49	49	NUM
ejpam-3455	447	3	)	)	PUNCT
ejpam-3455	447	4	4.7	4.7	NUM
ejpam-3455	447	5	.	.	PUNCT
ejpam-3455	448	1	mhd	mhd	NOUN
ejpam-3455	448	2	newtonian	newtonian	ADJ
ejpam-3455	448	3	fluid	fluid	NOUN
ejpam-3455	448	4	in	in	ADP
ejpam-3455	448	5	porous	porous	ADJ
ejpam-3455	448	6	medium	medium	NOUN
ejpam-3455	448	7	with	with	ADP
ejpam-3455	448	8	twice	twice	ADJ
ejpam-3455	448	9	order	order	NOUN
ejpam-3455	448	10	slip	slip	NOUN
ejpam-3455	448	11	making	make	VERB
ejpam-3455	448	12	λ	λ	X
ejpam-3455	448	13	→	→	SYM
ejpam-3455	448	14	0	0	NUM
ejpam-3455	448	15	into	into	ADP
ejpam-3455	448	16	equation	equation	NOUN
ejpam-3455	448	17	(	(	PUNCT
ejpam-3455	448	18	14	14	NUM
ejpam-3455	448	19	)	)	PUNCT
ejpam-3455	448	20	and(21	and(21	PROPN
ejpam-3455	448	21	)	)	PUNCT
ejpam-3455	448	22	,	,	PUNCT
ejpam-3455	448	23	the	the	DET
ejpam-3455	448	24	recalculated	recalculated	ADJ
ejpam-3455	448	25	velocity	velocity	NOUN
ejpam-3455	448	26	and	and	CCONJ
ejpam-3455	448	27	shear	shear	NOUN
ejpam-3455	448	28	stresses	stress	NOUN
ejpam-3455	448	29	are	be	AUX
ejpam-3455	448	30	us(y	us(y	ADJ
ejpam-3455	448	31	,	,	PUNCT
ejpam-3455	448	32	t	t	PROPN
ejpam-3455	448	33	)	)	PUNCT
ejpam-3455	449	1	=	=	SYM
ejpam-3455	449	2	u	u	NOUN
ejpam-3455	449	3	sin(ωt	sin(ωt	NOUN
ejpam-3455	449	4	)	)	PUNCT
ejpam-3455	450	1	+	+	CCONJ
ejpam-3455	450	2	uω	uω	ADV
ejpam-3455	450	3	∞∑	∞∑	NUM
ejpam-3455	450	4	i=1	i=1	PRON
ejpam-3455	450	5	(	(	PUNCT
ejpam-3455	450	6	−1)i	−1)i	X
ejpam-3455	450	7	∞∑	∞∑	NUM
ejpam-3455	450	8	j=0	j=0	PROPN
ejpam-3455	450	9	1	1	NUM
ejpam-3455	450	10	j	j	NOUN
ejpam-3455	450	11	!	!	PUNCT
ejpam-3455	451	1	(	(	PUNCT
ejpam-3455	451	2	θ1√	θ1√	NOUN
ejpam-3455	451	3	ν	ν	NOUN
ejpam-3455	451	4	)	)	PUNCT
ejpam-3455	451	5	i−j	i−j	PROPN
ejpam-3455	451	6	(	(	PUNCT
ejpam-3455	451	7	−θ2	−θ2	PROPN
ejpam-3455	451	8	ν	ν	PROPN
ejpam-3455	451	9	)	)	PUNCT
ejpam-3455	452	1	j	j	PROPN
ejpam-3455	452	2	∞∑	∞∑	NUM
ejpam-3455	452	3	l=0	l=0	PROPN
ejpam-3455	452	4	(	(	PUNCT
ejpam-3455	452	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	452	6	l	l	NOUN
ejpam-3455	452	7	!	!	PUNCT
ejpam-3455	453	1	∞∑	∞∑	ADJ
ejpam-3455	453	2	n=0	n=0	NUM
ejpam-3455	453	3	(	(	PUNCT
ejpam-3455	453	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	453	5	×m1,3	×m1,3	PROPN
ejpam-3455	453	6	3,5	3,5	NUM
ejpam-3455	453	7	[	[	PUNCT
ejpam-3455	453	8	mt	mt	PROPN
ejpam-3455	453	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	453	10	+	+	CCONJ
ejpam-3455	453	11	i+j	i+j	NUM
ejpam-3455	453	12	2	2	NUM
ejpam-3455	453	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	453	14	+	+	NUM
ejpam-3455	453	15	i+j	i+j	NUM
ejpam-3455	453	16	2	2	NUM
ejpam-3455	453	17	−l,1	−l,1	PROPN
ejpam-3455	453	18	)	)	PUNCT
ejpam-3455	453	19	(	(	PUNCT
ejpam-3455	453	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	453	21	+	+	CCONJ
ejpam-3455	453	22	i+j	i+j	NUM
ejpam-3455	453	23	2	2	NUM
ejpam-3455	453	24	,	,	PUNCT
ejpam-3455	453	25	0),(1	0),(1	PROPN
ejpam-3455	453	26	+	+	CCONJ
ejpam-3455	453	27	i+j	i+j	NUM
ejpam-3455	453	28	2	2	NUM
ejpam-3455	453	29	−l,0	−l,0	NUM
ejpam-3455	453	30	)	)	PUNCT
ejpam-3455	453	31	,	,	PUNCT
ejpam-3455	453	32	(	(	PUNCT
ejpam-3455	453	33	i+j2	i+j2	NOUN
ejpam-3455	453	34	−l−2n−1,1	−l−2n−1,1	NOUN
ejpam-3455	453	35	)	)	PUNCT
ejpam-3455	453	36	]	]	PUNCT
ejpam-3455	454	1	+	+	ADP
ejpam-3455	454	2	uω	uω	ADV
ejpam-3455	454	3	∞∑	∞∑	PROPN
ejpam-3455	454	4	i=0	i=0	ADJ
ejpam-3455	454	5	(	(	PUNCT
ejpam-3455	454	6	−1)i	−1)i	X
ejpam-3455	454	7	∞∑	∞∑	NUM
ejpam-3455	454	8	j=0	j=0	PROPN
ejpam-3455	454	9	1	1	NUM
ejpam-3455	454	10	j	j	NOUN
ejpam-3455	454	11	!	!	PUNCT
ejpam-3455	455	1	(	(	PUNCT
ejpam-3455	455	2	θ1√	θ1√	NOUN
ejpam-3455	455	3	ν	ν	NOUN
ejpam-3455	455	4	)	)	PUNCT
ejpam-3455	455	5	i−j	i−j	PROPN
ejpam-3455	455	6	(	(	PUNCT
ejpam-3455	455	7	−θ2	−θ2	PROPN
ejpam-3455	455	8	ν	ν	PROPN
ejpam-3455	455	9	)	)	PUNCT
ejpam-3455	456	1	j	j	PROPN
ejpam-3455	457	1	∞∑	∞∑	NUM
ejpam-3455	457	2	k=1	k=1	PROPN
ejpam-3455	457	3	1	1	NUM
ejpam-3455	457	4	k	k	NOUN
ejpam-3455	457	5	!	!	PUNCT
ejpam-3455	458	1	(	(	PUNCT
ejpam-3455	458	2	−	−	PROPN
ejpam-3455	458	3	y√	y√	NOUN
ejpam-3455	458	4	ν	ν	NOUN
ejpam-3455	458	5	)	)	PUNCT
ejpam-3455	459	1	k	k	PROPN
ejpam-3455	459	2	∞∑	∞∑	NUM
ejpam-3455	459	3	l=0	l=0	PROPN
ejpam-3455	459	4	(	(	PUNCT
ejpam-3455	459	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	459	6	l	l	NOUN
ejpam-3455	459	7	!	!	PUNCT
ejpam-3455	460	1	∞∑	∞∑	ADJ
ejpam-3455	460	2	n=0	n=0	NUM
ejpam-3455	460	3	(	(	PUNCT
ejpam-3455	460	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	460	5	×m1,3	×m1,3	PROPN
ejpam-3455	460	6	3,5	3,5	NUM
ejpam-3455	460	7	[	[	PUNCT
ejpam-3455	460	8	mt	mt	PROPN
ejpam-3455	460	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	460	10	+	+	PROPN
ejpam-3455	460	11	i+j+k	i+j+k	NOUN
ejpam-3455	460	12	2	2	NUM
ejpam-3455	460	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	460	14	+	+	NOUN
ejpam-3455	460	15	i+j+k	i+j+k	NOUN
ejpam-3455	460	16	2	2	NUM
ejpam-3455	460	17	−l,1	−l,1	PROPN
ejpam-3455	460	18	)	)	PUNCT
ejpam-3455	460	19	(	(	PUNCT
ejpam-3455	460	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	460	21	+	+	CCONJ
ejpam-3455	460	22	i+j+k	i+j+k	NOUN
ejpam-3455	460	23	2	2	NUM
ejpam-3455	460	24	,	,	PUNCT
ejpam-3455	460	25	0),(1	0),(1	PROPN
ejpam-3455	460	26	+	+	NOUN
ejpam-3455	460	27	i+j+k	i+j+k	NOUN
ejpam-3455	460	28	2	2	NUM
ejpam-3455	460	29	−l,0	−l,0	ADV
ejpam-3455	460	30	)	)	PUNCT
ejpam-3455	460	31	,	,	PUNCT
ejpam-3455	460	32	(	(	PUNCT
ejpam-3455	460	33	i+j+k2	i+j+k2	NOUN
ejpam-3455	460	34	−l−2n−1,1	−l−2n−1,1	ADJ
ejpam-3455	460	35	)	)	PUNCT
ejpam-3455	460	36	]	]	PUNCT
ejpam-3455	460	37	,	,	PUNCT
ejpam-3455	460	38	(	(	PUNCT
ejpam-3455	460	39	50	50	NUM
ejpam-3455	460	40	)	)	PUNCT
ejpam-3455	460	41	τs(y	τs(y	NUM
ejpam-3455	460	42	,	,	PUNCT
ejpam-3455	460	43	t	t	PROPN
ejpam-3455	460	44	)	)	PUNCT
ejpam-3455	460	45	=	=	SYM
ejpam-3455	461	1	−uµω√	−uµω√	NUM
ejpam-3455	461	2	ν	ν	NOUN
ejpam-3455	461	3	∞∑	∞∑	PROPN
ejpam-3455	461	4	i=0	i=0	PROPN
ejpam-3455	461	5	(	(	PUNCT
ejpam-3455	461	6	−1)i	−1)i	X
ejpam-3455	461	7	∞∑	∞∑	NUM
ejpam-3455	461	8	j=0	j=0	PROPN
ejpam-3455	461	9	1	1	NUM
ejpam-3455	461	10	j	j	NOUN
ejpam-3455	461	11	!	!	PUNCT
ejpam-3455	462	1	(	(	PUNCT
ejpam-3455	462	2	θ1√	θ1√	NOUN
ejpam-3455	462	3	ν	ν	NOUN
ejpam-3455	462	4	)	)	PUNCT
ejpam-3455	462	5	i−j	i−j	PROPN
ejpam-3455	462	6	(	(	PUNCT
ejpam-3455	462	7	−θ2	−θ2	PROPN
ejpam-3455	462	8	ν	ν	PROPN
ejpam-3455	462	9	)	)	PUNCT
ejpam-3455	463	1	j	j	PROPN
ejpam-3455	463	2	∞∑	∞∑	PRON
ejpam-3455	463	3	k=0	k=0	PROPN
ejpam-3455	463	4	1	1	NUM
ejpam-3455	463	5	k	k	NOUN
ejpam-3455	463	6	!	!	PUNCT
ejpam-3455	464	1	(	(	PUNCT
ejpam-3455	464	2	−	−	PROPN
ejpam-3455	464	3	y√	y√	NOUN
ejpam-3455	464	4	ν	ν	NOUN
ejpam-3455	464	5	)	)	PUNCT
ejpam-3455	465	1	k	k	PROPN
ejpam-3455	465	2	∞∑	∞∑	NUM
ejpam-3455	465	3	l=0	l=0	PROPN
ejpam-3455	465	4	(	(	PUNCT
ejpam-3455	465	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	465	6	l	l	NOUN
ejpam-3455	465	7	!	!	PUNCT
ejpam-3455	466	1	∞∑	∞∑	ADJ
ejpam-3455	466	2	n=0	n=0	NUM
ejpam-3455	466	3	(	(	PUNCT
ejpam-3455	466	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	466	5	×m1,3	×m1,3	PROPN
ejpam-3455	466	6	3,5	3,5	NUM
ejpam-3455	466	7	[	[	PUNCT
ejpam-3455	466	8	mt	mt	PROPN
ejpam-3455	466	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	466	10	+	+	X
ejpam-3455	466	11	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	466	12	2	2	NUM
ejpam-3455	466	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	466	14	+	+	NUM
ejpam-3455	466	15	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	466	16	2	2	NUM
ejpam-3455	466	17	−l,1	−l,1	PROPN
ejpam-3455	466	18	)	)	PUNCT
ejpam-3455	466	19	(	(	PUNCT
ejpam-3455	466	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	466	21	+	+	CCONJ
ejpam-3455	466	22	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	466	23	2	2	NUM
ejpam-3455	466	24	,	,	PUNCT
ejpam-3455	466	25	0),(1	0),(1	PROPN
ejpam-3455	467	1	+	+	CCONJ
ejpam-3455	467	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	467	3	2	2	NUM
ejpam-3455	467	4	−l,0	−l,0	ADJ
ejpam-3455	467	5	)	)	PUNCT
ejpam-3455	467	6	,	,	PUNCT
ejpam-3455	467	7	(	(	PUNCT
ejpam-3455	467	8	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	467	9	2	2	NUM
ejpam-3455	467	10	−l−2n−1,1	−l−2n−1,1	NOUN
ejpam-3455	467	11	)	)	PUNCT
ejpam-3455	467	12	]	]	PUNCT
ejpam-3455	467	13	.	.	PUNCT
ejpam-3455	468	1	(	(	PUNCT
ejpam-3455	468	2	51	51	NUM
ejpam-3455	468	3	)	)	PUNCT
ejpam-3455	468	4	m.	m.	NOUN
ejpam-3455	468	5	jamil	jamil	PROPN
ejpam-3455	468	6	,	,	PUNCT
ejpam-3455	468	7	i.	i.	PROPN
ejpam-3455	468	8	ahmed	ahmed	PROPN
ejpam-3455	468	9	/	/	PUNCT
ejpam-3455	468	10	eur	eur	PROPN
ejpam-3455	468	11	.	.	PUNCT
ejpam-3455	469	1	j.	j.	PROPN
ejpam-3455	469	2	pure	pure	PROPN
ejpam-3455	469	3	appl	appl	PROPN
ejpam-3455	469	4	.	.	PROPN
ejpam-3455	469	5	math	math	PROPN
ejpam-3455	469	6	,	,	PUNCT
ejpam-3455	469	7	12	12	NUM
ejpam-3455	469	8	(	(	PUNCT
ejpam-3455	469	9	3	3	NUM
ejpam-3455	469	10	)	)	PUNCT
ejpam-3455	469	11	(	(	PUNCT
ejpam-3455	469	12	2019	2019	NUM
ejpam-3455	469	13	)	)	PUNCT
ejpam-3455	469	14	,	,	PUNCT
ejpam-3455	469	15	1018	1018	NUM
ejpam-3455	469	16	-	-	SYM
ejpam-3455	469	17	1051	1051	NUM
ejpam-3455	469	18	1037	1037	NUM
ejpam-3455	469	19	for	for	ADP
ejpam-3455	469	20	cosine	cosine	NOUN
ejpam-3455	469	21	oscillations	oscillation	NOUN
ejpam-3455	469	22	,	,	PUNCT
ejpam-3455	469	23	we	we	PRON
ejpam-3455	469	24	have	have	AUX
ejpam-3455	469	25	uc(y	uc(y	ADV
ejpam-3455	469	26	,	,	PUNCT
ejpam-3455	469	27	t	t	PROPN
ejpam-3455	469	28	)	)	PUNCT
ejpam-3455	469	29	=	=	SYM
ejpam-3455	469	30	uh(t	uh(t	X
ejpam-3455	469	31	)	)	PUNCT
ejpam-3455	469	32	cos(ωt	cos(ωt	PRON
ejpam-3455	469	33	)	)	PUNCT
ejpam-3455	469	34	+	+	NOUN
ejpam-3455	469	35	uh(t	uh(t	X
ejpam-3455	469	36	)	)	PUNCT
ejpam-3455	469	37	∞∑	∞∑	NUM
ejpam-3455	469	38	i=1	i=1	X
ejpam-3455	469	39	(	(	PUNCT
ejpam-3455	469	40	−1)i	−1)i	X
ejpam-3455	469	41	∞∑	∞∑	NUM
ejpam-3455	469	42	j=0	j=0	PROPN
ejpam-3455	469	43	1	1	NUM
ejpam-3455	469	44	j	j	NOUN
ejpam-3455	469	45	!	!	PUNCT
ejpam-3455	470	1	(	(	PUNCT
ejpam-3455	470	2	θ1√	θ1√	NOUN
ejpam-3455	470	3	ν	ν	NOUN
ejpam-3455	470	4	)	)	PUNCT
ejpam-3455	470	5	i−j	i−j	PROPN
ejpam-3455	470	6	(	(	PUNCT
ejpam-3455	470	7	−θ2	−θ2	PROPN
ejpam-3455	470	8	ν	ν	PROPN
ejpam-3455	470	9	)	)	PUNCT
ejpam-3455	471	1	j	j	PROPN
ejpam-3455	471	2	∞∑	∞∑	NUM
ejpam-3455	471	3	l=0	l=0	PROPN
ejpam-3455	471	4	(	(	PUNCT
ejpam-3455	471	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	471	6	l	l	NOUN
ejpam-3455	471	7	!	!	PUNCT
ejpam-3455	472	1	∞∑	∞∑	ADJ
ejpam-3455	472	2	n=0	n=0	NUM
ejpam-3455	472	3	(	(	PUNCT
ejpam-3455	472	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	472	5	×m1,3	×m1,3	PROPN
ejpam-3455	472	6	3,5	3,5	NUM
ejpam-3455	472	7	[	[	PUNCT
ejpam-3455	472	8	mt	mt	PROPN
ejpam-3455	472	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	472	10	+	+	CCONJ
ejpam-3455	472	11	i+j	i+j	NUM
ejpam-3455	472	12	2	2	NUM
ejpam-3455	472	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	472	14	+	+	NUM
ejpam-3455	472	15	i+j	i+j	NUM
ejpam-3455	472	16	2	2	NUM
ejpam-3455	472	17	−l,1	−l,1	PROPN
ejpam-3455	472	18	)	)	PUNCT
ejpam-3455	472	19	(	(	PUNCT
ejpam-3455	472	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	472	21	+	+	CCONJ
ejpam-3455	472	22	i+j	i+j	NUM
ejpam-3455	472	23	2	2	NUM
ejpam-3455	472	24	,	,	PUNCT
ejpam-3455	472	25	0),(1	0),(1	PROPN
ejpam-3455	472	26	+	+	CCONJ
ejpam-3455	472	27	i+j	i+j	NUM
ejpam-3455	472	28	2	2	NUM
ejpam-3455	472	29	−l,0	−l,0	NUM
ejpam-3455	472	30	)	)	PUNCT
ejpam-3455	472	31	,	,	PUNCT
ejpam-3455	472	32	(	(	PUNCT
ejpam-3455	472	33	i+j2	i+j2	NOUN
ejpam-3455	472	34	−l−2n,1	−l−2n,1	PROPN
ejpam-3455	472	35	)	)	PUNCT
ejpam-3455	472	36	]	]	PUNCT
ejpam-3455	473	1	+	+	X
ejpam-3455	473	2	uh(t	uh(t	X
ejpam-3455	473	3	)	)	PUNCT
ejpam-3455	473	4	∞∑	∞∑	PROPN
ejpam-3455	473	5	i=0	i=0	PROPN
ejpam-3455	473	6	(	(	PUNCT
ejpam-3455	473	7	−1)i	−1)i	X
ejpam-3455	473	8	∞∑	∞∑	NUM
ejpam-3455	473	9	j=0	j=0	PROPN
ejpam-3455	473	10	1	1	NUM
ejpam-3455	473	11	j	j	NOUN
ejpam-3455	473	12	!	!	PUNCT
ejpam-3455	473	13	(	(	PUNCT
ejpam-3455	473	14	θ1√	θ1√	NOUN
ejpam-3455	473	15	ν	ν	NOUN
ejpam-3455	473	16	)	)	PUNCT
ejpam-3455	473	17	i−j	i−j	PROPN
ejpam-3455	473	18	(	(	PUNCT
ejpam-3455	473	19	−θ2	−θ2	PROPN
ejpam-3455	473	20	ν	ν	PROPN
ejpam-3455	473	21	)	)	PUNCT
ejpam-3455	473	22	j	j	PROPN
ejpam-3455	474	1	∞∑	∞∑	NUM
ejpam-3455	474	2	k=1	k=1	PROPN
ejpam-3455	474	3	1	1	NUM
ejpam-3455	474	4	k	k	NOUN
ejpam-3455	474	5	!	!	PUNCT
ejpam-3455	475	1	(	(	PUNCT
ejpam-3455	475	2	−	−	PROPN
ejpam-3455	475	3	y√	y√	NOUN
ejpam-3455	475	4	ν	ν	NOUN
ejpam-3455	475	5	)	)	PUNCT
ejpam-3455	476	1	k	k	PROPN
ejpam-3455	476	2	∞∑	∞∑	NUM
ejpam-3455	476	3	l=0	l=0	PROPN
ejpam-3455	476	4	(	(	PUNCT
ejpam-3455	476	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	476	6	l	l	NOUN
ejpam-3455	476	7	!	!	PUNCT
ejpam-3455	477	1	∞∑	∞∑	ADJ
ejpam-3455	477	2	n=0	n=0	NUM
ejpam-3455	477	3	(	(	PUNCT
ejpam-3455	477	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	477	5	×m1,3	×m1,3	PROPN
ejpam-3455	477	6	3,5	3,5	NUM
ejpam-3455	477	7	[	[	PUNCT
ejpam-3455	477	8	mt	mt	PROPN
ejpam-3455	477	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	477	10	+	+	PROPN
ejpam-3455	477	11	i+j+k	i+j+k	NOUN
ejpam-3455	477	12	2	2	NUM
ejpam-3455	477	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	477	14	+	+	NOUN
ejpam-3455	477	15	i+j+k	i+j+k	NOUN
ejpam-3455	477	16	2	2	NUM
ejpam-3455	477	17	−l,1	−l,1	PROPN
ejpam-3455	477	18	)	)	PUNCT
ejpam-3455	477	19	(	(	PUNCT
ejpam-3455	477	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	477	21	+	+	CCONJ
ejpam-3455	477	22	i+j+k	i+j+k	NOUN
ejpam-3455	477	23	2	2	NUM
ejpam-3455	477	24	,	,	PUNCT
ejpam-3455	477	25	0),(1	0),(1	PROPN
ejpam-3455	477	26	+	+	NOUN
ejpam-3455	477	27	i+j+k	i+j+k	NOUN
ejpam-3455	477	28	2	2	NUM
ejpam-3455	477	29	−l,0	−l,0	ADV
ejpam-3455	477	30	)	)	PUNCT
ejpam-3455	477	31	,	,	PUNCT
ejpam-3455	477	32	(	(	PUNCT
ejpam-3455	477	33	i+j+k2	i+j+k2	PROPN
ejpam-3455	477	34	−l−2n,1	−l−2n,1	PROPN
ejpam-3455	477	35	)	)	PUNCT
ejpam-3455	477	36	]	]	PUNCT
ejpam-3455	477	37	,	,	PUNCT
ejpam-3455	477	38	(	(	PUNCT
ejpam-3455	477	39	52	52	NUM
ejpam-3455	477	40	)	)	PUNCT
ejpam-3455	477	41	τc(y	τc(y	PUNCT
ejpam-3455	477	42	,	,	PUNCT
ejpam-3455	477	43	t	t	PROPN
ejpam-3455	477	44	)	)	PUNCT
ejpam-3455	477	45	=	=	SYM
ejpam-3455	477	46	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	477	47	ν	ν	PROPN
ejpam-3455	477	48	∞∑	∞∑	PROPN
ejpam-3455	477	49	i=0	i=0	PROPN
ejpam-3455	477	50	(	(	PUNCT
ejpam-3455	477	51	−1)i	−1)i	X
ejpam-3455	477	52	∞∑	∞∑	NUM
ejpam-3455	477	53	j=0	j=0	PROPN
ejpam-3455	477	54	1	1	NUM
ejpam-3455	477	55	j	j	NOUN
ejpam-3455	477	56	!	!	PUNCT
ejpam-3455	478	1	(	(	PUNCT
ejpam-3455	478	2	θ1√	θ1√	NOUN
ejpam-3455	478	3	ν	ν	NOUN
ejpam-3455	478	4	)	)	PUNCT
ejpam-3455	478	5	i−j	i−j	PROPN
ejpam-3455	478	6	(	(	PUNCT
ejpam-3455	478	7	−θ2	−θ2	PROPN
ejpam-3455	478	8	ν	ν	PROPN
ejpam-3455	478	9	)	)	PUNCT
ejpam-3455	479	1	j	j	PROPN
ejpam-3455	479	2	∞∑	∞∑	PRON
ejpam-3455	479	3	k=0	k=0	PROPN
ejpam-3455	479	4	1	1	NUM
ejpam-3455	479	5	k	k	NOUN
ejpam-3455	479	6	!	!	PUNCT
ejpam-3455	480	1	(	(	PUNCT
ejpam-3455	480	2	−	−	PROPN
ejpam-3455	480	3	y√	y√	NOUN
ejpam-3455	480	4	ν	ν	NOUN
ejpam-3455	480	5	)	)	PUNCT
ejpam-3455	481	1	k	k	PROPN
ejpam-3455	481	2	∞∑	∞∑	NUM
ejpam-3455	481	3	l=0	l=0	PROPN
ejpam-3455	481	4	(	(	PUNCT
ejpam-3455	481	5	−ψ)l	−ψ)l	NOUN
ejpam-3455	481	6	l	l	NOUN
ejpam-3455	481	7	!	!	PUNCT
ejpam-3455	482	1	∞∑	∞∑	ADJ
ejpam-3455	482	2	n=0	n=0	NUM
ejpam-3455	482	3	(	(	PUNCT
ejpam-3455	482	4	−ω2)n	−ω2)n	NOUN
ejpam-3455	482	5	×m1,3	×m1,3	PROPN
ejpam-3455	482	6	3,5	3,5	NUM
ejpam-3455	482	7	[	[	PUNCT
ejpam-3455	482	8	mt	mt	PROPN
ejpam-3455	482	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	482	10	+	+	X
ejpam-3455	482	11	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	482	12	2	2	NUM
ejpam-3455	482	13	−l,0),(1	−l,0),(1	NOUN
ejpam-3455	482	14	+	+	NUM
ejpam-3455	482	15	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	482	16	2	2	NUM
ejpam-3455	482	17	−l,1	−l,1	PROPN
ejpam-3455	482	18	)	)	PUNCT
ejpam-3455	482	19	(	(	PUNCT
ejpam-3455	482	20	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	482	21	+	+	CCONJ
ejpam-3455	482	22	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	482	23	2	2	NUM
ejpam-3455	482	24	,	,	PUNCT
ejpam-3455	482	25	0),(1	0),(1	PROPN
ejpam-3455	483	1	+	+	CCONJ
ejpam-3455	483	2	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	483	3	2	2	NUM
ejpam-3455	483	4	−l,0	−l,0	ADJ
ejpam-3455	483	5	)	)	PUNCT
ejpam-3455	483	6	,	,	PUNCT
ejpam-3455	483	7	(	(	PUNCT
ejpam-3455	483	8	i+j+k+1	i+j+k+1	VERB
ejpam-3455	483	9	2	2	NUM
ejpam-3455	483	10	−l−2n,1	−l−2n,1	NOUN
ejpam-3455	483	11	)	)	PUNCT
ejpam-3455	483	12	]	]	PUNCT
ejpam-3455	483	13	.	.	PUNCT
ejpam-3455	484	1	(	(	PUNCT
ejpam-3455	484	2	53	53	NUM
ejpam-3455	484	3	)	)	PUNCT
ejpam-3455	484	4	4.8	4.8	NUM
ejpam-3455	484	5	.	.	PUNCT
ejpam-3455	485	1	mhd	mhd	NOUN
ejpam-3455	485	2	newtonian	newtonian	ADJ
ejpam-3455	485	3	fluid	fluid	NOUN
ejpam-3455	485	4	without	without	ADP
ejpam-3455	485	5	porous	porous	ADJ
ejpam-3455	485	6	effect	effect	NOUN
ejpam-3455	485	7	putting	put	VERB
ejpam-3455	485	8	ψ→	ψ→	PUNCT
ejpam-3455	485	9	0	0	NUM
ejpam-3455	485	10	in	in	ADP
ejpam-3455	485	11	the	the	DET
ejpam-3455	485	12	eqs	eqs	PROPN
ejpam-3455	485	13	.	.	PUNCT
ejpam-3455	486	1	(	(	PUNCT
ejpam-3455	486	2	50	50	NUM
ejpam-3455	486	3	)	)	PUNCT
ejpam-3455	486	4	,	,	PUNCT
ejpam-3455	486	5	(	(	PUNCT
ejpam-3455	486	6	51	51	NUM
ejpam-3455	486	7	)	)	PUNCT
ejpam-3455	486	8	,	,	PUNCT
ejpam-3455	486	9	(	(	PUNCT
ejpam-3455	486	10	52	52	NUM
ejpam-3455	486	11	)	)	PUNCT
ejpam-3455	486	12	,	,	PUNCT
ejpam-3455	486	13	and	and	CCONJ
ejpam-3455	486	14	(	(	PUNCT
ejpam-3455	486	15	53	53	NUM
ejpam-3455	486	16	)	)	PUNCT
ejpam-3455	486	17	yields	yield	VERB
ejpam-3455	486	18	the	the	DET
ejpam-3455	486	19	results	result	NOUN
ejpam-3455	486	20	us(y	us(y	PROPN
ejpam-3455	486	21	,	,	PUNCT
ejpam-3455	486	22	t	t	PROPN
ejpam-3455	486	23	)	)	PUNCT
ejpam-3455	487	1	=	=	SYM
ejpam-3455	487	2	u	u	NOUN
ejpam-3455	487	3	sin(ωt	sin(ωt	NOUN
ejpam-3455	487	4	)	)	PUNCT
ejpam-3455	488	1	+	+	CCONJ
ejpam-3455	488	2	uω	uω	ADV
ejpam-3455	488	3	∞∑	∞∑	NUM
ejpam-3455	488	4	i=1	i=1	PRON
ejpam-3455	488	5	(	(	PUNCT
ejpam-3455	488	6	−1)i	−1)i	X
ejpam-3455	488	7	∞∑	∞∑	NUM
ejpam-3455	488	8	j=0	j=0	PROPN
ejpam-3455	488	9	1	1	NUM
ejpam-3455	488	10	j	j	NOUN
ejpam-3455	488	11	!	!	PUNCT
ejpam-3455	489	1	(	(	PUNCT
ejpam-3455	489	2	θ1√	θ1√	NOUN
ejpam-3455	489	3	ν	ν	NOUN
ejpam-3455	489	4	)	)	PUNCT
ejpam-3455	489	5	i−j	i−j	PROPN
ejpam-3455	489	6	(	(	PUNCT
ejpam-3455	489	7	−θ2	−θ2	PROPN
ejpam-3455	489	8	ν	ν	PROPN
ejpam-3455	489	9	)	)	PUNCT
ejpam-3455	490	1	j	j	PROPN
ejpam-3455	490	2	∞∑	∞∑	NOUN
ejpam-3455	490	3	n=0	n=0	NUM
ejpam-3455	490	4	(	(	PUNCT
ejpam-3455	490	5	−ω2)n	−ω2)n	PROPN
ejpam-3455	490	6	×m1,2	×m1,2	PROPN
ejpam-3455	490	7	2,4	2,4	NUM
ejpam-3455	490	8	[	[	PUNCT
ejpam-3455	490	9	mt	mt	PROPN
ejpam-3455	490	10	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	490	11	+	+	PROPN
ejpam-3455	490	12	i+j	i+j	NUM
ejpam-3455	490	13	2	2	NUM
ejpam-3455	490	14	,	,	PUNCT
ejpam-3455	490	15	1	1	NUM
ejpam-3455	490	16	)	)	PUNCT
ejpam-3455	490	17	(	(	PUNCT
ejpam-3455	490	18	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	490	19	+	+	CCONJ
ejpam-3455	490	20	i+j	i+j	NUM
ejpam-3455	490	21	2	2	NUM
ejpam-3455	490	22	,	,	PUNCT
ejpam-3455	490	23	0	0	NUM
ejpam-3455	490	24	)	)	PUNCT
ejpam-3455	490	25	,	,	PUNCT
ejpam-3455	490	26	(	(	PUNCT
ejpam-3455	490	27	i+j2	i+j2	PROPN
ejpam-3455	490	28	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	490	29	)	)	PUNCT
ejpam-3455	490	30	]	]	PUNCT
ejpam-3455	491	1	m.	m.	PROPN
ejpam-3455	491	2	jamil	jamil	PROPN
ejpam-3455	491	3	,	,	PUNCT
ejpam-3455	491	4	i.	i.	PROPN
ejpam-3455	491	5	ahmed	ahmed	PROPN
ejpam-3455	491	6	/	/	PUNCT
ejpam-3455	491	7	eur	eur	PROPN
ejpam-3455	491	8	.	.	PUNCT
ejpam-3455	492	1	j.	j.	PROPN
ejpam-3455	492	2	pure	pure	PROPN
ejpam-3455	492	3	appl	appl	PROPN
ejpam-3455	492	4	.	.	PROPN
ejpam-3455	492	5	math	math	PROPN
ejpam-3455	492	6	,	,	PUNCT
ejpam-3455	492	7	12	12	NUM
ejpam-3455	492	8	(	(	PUNCT
ejpam-3455	492	9	3	3	NUM
ejpam-3455	492	10	)	)	PUNCT
ejpam-3455	492	11	(	(	PUNCT
ejpam-3455	492	12	2019	2019	NUM
ejpam-3455	492	13	)	)	PUNCT
ejpam-3455	492	14	,	,	PUNCT
ejpam-3455	492	15	1018	1018	NUM
ejpam-3455	492	16	-	-	SYM
ejpam-3455	492	17	1051	1051	NUM
ejpam-3455	492	18	1038	1038	NUM
ejpam-3455	493	1	+	+	ADP
ejpam-3455	493	2	uω	uω	PROPN
ejpam-3455	493	3	∞∑	∞∑	PROPN
ejpam-3455	493	4	i=0	i=0	ADJ
ejpam-3455	493	5	(	(	PUNCT
ejpam-3455	493	6	−1)i	−1)i	X
ejpam-3455	493	7	∞∑	∞∑	NUM
ejpam-3455	493	8	j=0	j=0	PROPN
ejpam-3455	493	9	1	1	NUM
ejpam-3455	493	10	j	j	NOUN
ejpam-3455	493	11	!	!	PUNCT
ejpam-3455	494	1	(	(	PUNCT
ejpam-3455	494	2	θ1√	θ1√	NOUN
ejpam-3455	494	3	ν	ν	NOUN
ejpam-3455	494	4	)	)	PUNCT
ejpam-3455	494	5	i−j	i−j	PROPN
ejpam-3455	494	6	(	(	PUNCT
ejpam-3455	494	7	−θ2	−θ2	PROPN
ejpam-3455	494	8	ν	ν	PROPN
ejpam-3455	494	9	)	)	PUNCT
ejpam-3455	495	1	j	j	PROPN
ejpam-3455	496	1	∞∑	∞∑	NUM
ejpam-3455	496	2	k=1	k=1	PROPN
ejpam-3455	496	3	1	1	NUM
ejpam-3455	496	4	k	k	NOUN
ejpam-3455	496	5	!	!	PUNCT
ejpam-3455	497	1	(	(	PUNCT
ejpam-3455	497	2	−	−	PROPN
ejpam-3455	497	3	y√	y√	NOUN
ejpam-3455	497	4	ν	ν	NOUN
ejpam-3455	497	5	)	)	PUNCT
ejpam-3455	498	1	k	k	PROPN
ejpam-3455	499	1	∞∑	∞∑	NOUN
ejpam-3455	499	2	n=0	n=0	NUM
ejpam-3455	499	3	(	(	PUNCT
ejpam-3455	499	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	499	5	×m1,2	×m1,2	PROPN
ejpam-3455	499	6	2,4	2,4	NUM
ejpam-3455	499	7	[	[	PUNCT
ejpam-3455	499	8	mt	mt	PROPN
ejpam-3455	499	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	499	10	+	+	PROPN
ejpam-3455	499	11	i+j+k	i+j+k	NOUN
ejpam-3455	499	12	2	2	NUM
ejpam-3455	499	13	,	,	PUNCT
ejpam-3455	499	14	1	1	NUM
ejpam-3455	499	15	)	)	PUNCT
ejpam-3455	499	16	(	(	PUNCT
ejpam-3455	499	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	499	18	+	+	CCONJ
ejpam-3455	499	19	i+j+k	i+j+k	NOUN
ejpam-3455	499	20	2	2	NUM
ejpam-3455	499	21	,	,	PUNCT
ejpam-3455	499	22	0	0	NUM
ejpam-3455	499	23	)	)	PUNCT
ejpam-3455	499	24	,	,	PUNCT
ejpam-3455	499	25	(	(	PUNCT
ejpam-3455	499	26	i+j+k2	i+j+k2	PROPN
ejpam-3455	499	27	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	499	28	)	)	PUNCT
ejpam-3455	499	29	]	]	PUNCT
ejpam-3455	499	30	,	,	PUNCT
ejpam-3455	499	31	(	(	PUNCT
ejpam-3455	499	32	54	54	NUM
ejpam-3455	499	33	)	)	PUNCT
ejpam-3455	499	34	uc(y	uc(y	PUNCT
ejpam-3455	499	35	,	,	PUNCT
ejpam-3455	499	36	t	t	PROPN
ejpam-3455	499	37	)	)	PUNCT
ejpam-3455	499	38	=	=	SYM
ejpam-3455	499	39	uh(t	uh(t	X
ejpam-3455	499	40	)	)	PUNCT
ejpam-3455	499	41	cos(ωt	cos(ωt	PRON
ejpam-3455	499	42	)	)	PUNCT
ejpam-3455	499	43	+	+	NOUN
ejpam-3455	499	44	uh(t	uh(t	X
ejpam-3455	499	45	)	)	PUNCT
ejpam-3455	499	46	∞∑	∞∑	NUM
ejpam-3455	499	47	i=1	i=1	X
ejpam-3455	499	48	(	(	PUNCT
ejpam-3455	499	49	−1)i	−1)i	X
ejpam-3455	499	50	∞∑	∞∑	NUM
ejpam-3455	499	51	j=0	j=0	PROPN
ejpam-3455	499	52	1	1	NUM
ejpam-3455	499	53	j	j	NOUN
ejpam-3455	499	54	!	!	PUNCT
ejpam-3455	500	1	(	(	PUNCT
ejpam-3455	500	2	θ1√	θ1√	NOUN
ejpam-3455	500	3	ν	ν	NOUN
ejpam-3455	500	4	)	)	PUNCT
ejpam-3455	500	5	i−j	i−j	PROPN
ejpam-3455	500	6	(	(	PUNCT
ejpam-3455	500	7	−θ2	−θ2	PROPN
ejpam-3455	500	8	ν	ν	PROPN
ejpam-3455	500	9	)	)	PUNCT
ejpam-3455	501	1	j	j	PROPN
ejpam-3455	501	2	∞∑	∞∑	NOUN
ejpam-3455	501	3	n=0	n=0	NUM
ejpam-3455	501	4	(	(	PUNCT
ejpam-3455	501	5	−ω2)n	−ω2)n	PROPN
ejpam-3455	501	6	×m1,2	×m1,2	PROPN
ejpam-3455	501	7	2,4	2,4	NUM
ejpam-3455	501	8	[	[	PUNCT
ejpam-3455	501	9	mt	mt	PROPN
ejpam-3455	501	10	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	501	11	+	+	PROPN
ejpam-3455	501	12	i+j	i+j	NUM
ejpam-3455	501	13	2	2	NUM
ejpam-3455	501	14	,	,	PUNCT
ejpam-3455	501	15	1	1	NUM
ejpam-3455	501	16	)	)	PUNCT
ejpam-3455	501	17	(	(	PUNCT
ejpam-3455	501	18	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	501	19	+	+	CCONJ
ejpam-3455	501	20	i+j	i+j	NUM
ejpam-3455	501	21	2	2	NUM
ejpam-3455	501	22	,	,	PUNCT
ejpam-3455	501	23	0	0	NUM
ejpam-3455	501	24	)	)	PUNCT
ejpam-3455	501	25	,	,	PUNCT
ejpam-3455	501	26	(	(	PUNCT
ejpam-3455	501	27	i+j2	i+j2	VERB
ejpam-3455	501	28	−2n,1	−2n,1	PROPN
ejpam-3455	501	29	)	)	PUNCT
ejpam-3455	501	30	]	]	PUNCT
ejpam-3455	502	1	+	+	X
ejpam-3455	502	2	uh(t	uh(t	X
ejpam-3455	502	3	)	)	PUNCT
ejpam-3455	502	4	∞∑	∞∑	PROPN
ejpam-3455	502	5	i=0	i=0	PROPN
ejpam-3455	502	6	(	(	PUNCT
ejpam-3455	502	7	−1)i	−1)i	X
ejpam-3455	502	8	∞∑	∞∑	NUM
ejpam-3455	502	9	j=0	j=0	PROPN
ejpam-3455	502	10	1	1	NUM
ejpam-3455	502	11	j	j	NOUN
ejpam-3455	502	12	!	!	PUNCT
ejpam-3455	502	13	(	(	PUNCT
ejpam-3455	502	14	θ1√	θ1√	NOUN
ejpam-3455	502	15	ν	ν	NOUN
ejpam-3455	502	16	)	)	PUNCT
ejpam-3455	502	17	i−j	i−j	PROPN
ejpam-3455	502	18	(	(	PUNCT
ejpam-3455	502	19	−θ2	−θ2	PROPN
ejpam-3455	502	20	ν	ν	PROPN
ejpam-3455	502	21	)	)	PUNCT
ejpam-3455	502	22	j	j	PROPN
ejpam-3455	503	1	∞∑	∞∑	NUM
ejpam-3455	503	2	k=1	k=1	PROPN
ejpam-3455	503	3	1	1	NUM
ejpam-3455	503	4	k	k	NOUN
ejpam-3455	503	5	!	!	PUNCT
ejpam-3455	504	1	(	(	PUNCT
ejpam-3455	504	2	−	−	PROPN
ejpam-3455	504	3	y√	y√	NOUN
ejpam-3455	504	4	ν	ν	NOUN
ejpam-3455	504	5	)	)	PUNCT
ejpam-3455	505	1	k	k	PROPN
ejpam-3455	506	1	∞∑	∞∑	NOUN
ejpam-3455	506	2	n=0	n=0	NUM
ejpam-3455	506	3	(	(	PUNCT
ejpam-3455	506	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	506	5	×m1,2	×m1,2	PROPN
ejpam-3455	506	6	2,4	2,4	NUM
ejpam-3455	506	7	[	[	PUNCT
ejpam-3455	506	8	mt	mt	PROPN
ejpam-3455	506	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	506	10	+	+	PROPN
ejpam-3455	506	11	i+j+k	i+j+k	NOUN
ejpam-3455	506	12	2	2	NUM
ejpam-3455	506	13	,	,	PUNCT
ejpam-3455	506	14	1	1	NUM
ejpam-3455	506	15	)	)	PUNCT
ejpam-3455	506	16	(	(	PUNCT
ejpam-3455	506	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	506	18	+	+	CCONJ
ejpam-3455	506	19	i+j+k	i+j+k	NOUN
ejpam-3455	506	20	2	2	NUM
ejpam-3455	506	21	,	,	PUNCT
ejpam-3455	506	22	0	0	NUM
ejpam-3455	506	23	)	)	PUNCT
ejpam-3455	506	24	,	,	PUNCT
ejpam-3455	506	25	(	(	PUNCT
ejpam-3455	506	26	i+j+k2	i+j+k2	PROPN
ejpam-3455	506	27	−2n,1	−2n,1	PROPN
ejpam-3455	506	28	)	)	PUNCT
ejpam-3455	506	29	]	]	PUNCT
ejpam-3455	506	30	,	,	PUNCT
ejpam-3455	506	31	(	(	PUNCT
ejpam-3455	506	32	55	55	NUM
ejpam-3455	506	33	)	)	PUNCT
ejpam-3455	506	34	τs(y	τs(y	NUM
ejpam-3455	506	35	,	,	PUNCT
ejpam-3455	506	36	t	t	PROPN
ejpam-3455	506	37	)	)	PUNCT
ejpam-3455	506	38	=	=	SYM
ejpam-3455	507	1	−uµω√	−uµω√	NUM
ejpam-3455	507	2	ν	ν	NOUN
ejpam-3455	507	3	∞∑	∞∑	PROPN
ejpam-3455	507	4	i=0	i=0	PROPN
ejpam-3455	507	5	(	(	PUNCT
ejpam-3455	507	6	−1)i	−1)i	X
ejpam-3455	507	7	∞∑	∞∑	NUM
ejpam-3455	507	8	j=0	j=0	PROPN
ejpam-3455	507	9	1	1	NUM
ejpam-3455	507	10	j	j	NOUN
ejpam-3455	507	11	!	!	PUNCT
ejpam-3455	508	1	(	(	PUNCT
ejpam-3455	508	2	θ1√	θ1√	NOUN
ejpam-3455	508	3	ν	ν	NOUN
ejpam-3455	508	4	)	)	PUNCT
ejpam-3455	508	5	i−j	i−j	PROPN
ejpam-3455	508	6	(	(	PUNCT
ejpam-3455	508	7	−θ2	−θ2	PROPN
ejpam-3455	508	8	ν	ν	PROPN
ejpam-3455	508	9	)	)	PUNCT
ejpam-3455	509	1	j	j	PROPN
ejpam-3455	509	2	∞∑	∞∑	PRON
ejpam-3455	509	3	k=0	k=0	PROPN
ejpam-3455	509	4	1	1	NUM
ejpam-3455	509	5	k	k	NOUN
ejpam-3455	509	6	!	!	PUNCT
ejpam-3455	510	1	(	(	PUNCT
ejpam-3455	510	2	−	−	PROPN
ejpam-3455	510	3	y√	y√	NOUN
ejpam-3455	510	4	ν	ν	NOUN
ejpam-3455	510	5	)	)	PUNCT
ejpam-3455	511	1	k	k	PROPN
ejpam-3455	512	1	∞∑	∞∑	NOUN
ejpam-3455	512	2	n=0	n=0	NUM
ejpam-3455	512	3	(	(	PUNCT
ejpam-3455	512	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	512	5	×m1,2	×m1,2	PROPN
ejpam-3455	512	6	2,4	2,4	NUM
ejpam-3455	512	7	[	[	PUNCT
ejpam-3455	512	8	mt	mt	PROPN
ejpam-3455	512	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	512	10	+	+	X
ejpam-3455	512	11	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	512	12	2	2	NUM
ejpam-3455	512	13	,	,	PUNCT
ejpam-3455	512	14	1	1	NUM
ejpam-3455	512	15	)	)	PUNCT
ejpam-3455	512	16	(	(	PUNCT
ejpam-3455	512	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	512	18	+	+	CCONJ
ejpam-3455	512	19	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	512	20	2	2	NUM
ejpam-3455	512	21	,	,	PUNCT
ejpam-3455	512	22	0	0	NUM
ejpam-3455	512	23	)	)	PUNCT
ejpam-3455	512	24	(	(	PUNCT
ejpam-3455	512	25	i+j+k+1	i+j+k+1	VERB
ejpam-3455	512	26	2	2	NUM
ejpam-3455	512	27	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	512	28	)	)	PUNCT
ejpam-3455	512	29	]	]	PUNCT
ejpam-3455	512	30	,	,	PUNCT
ejpam-3455	512	31	(	(	PUNCT
ejpam-3455	512	32	56	56	NUM
ejpam-3455	512	33	)	)	PUNCT
ejpam-3455	512	34	τc(y	τc(y	PUNCT
ejpam-3455	512	35	,	,	PUNCT
ejpam-3455	512	36	t	t	PROPN
ejpam-3455	512	37	)	)	PUNCT
ejpam-3455	512	38	=	=	SYM
ejpam-3455	513	1	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	513	2	ν	ν	PROPN
ejpam-3455	513	3	∞∑	∞∑	PROPN
ejpam-3455	513	4	i=0	i=0	PROPN
ejpam-3455	513	5	(	(	PUNCT
ejpam-3455	513	6	−1)i	−1)i	X
ejpam-3455	513	7	∞∑	∞∑	NUM
ejpam-3455	513	8	j=0	j=0	PROPN
ejpam-3455	513	9	1	1	NUM
ejpam-3455	513	10	j	j	NOUN
ejpam-3455	513	11	!	!	PUNCT
ejpam-3455	514	1	(	(	PUNCT
ejpam-3455	514	2	θ1√	θ1√	NOUN
ejpam-3455	514	3	ν	ν	NOUN
ejpam-3455	514	4	)	)	PUNCT
ejpam-3455	514	5	i−j	i−j	PROPN
ejpam-3455	514	6	(	(	PUNCT
ejpam-3455	514	7	−θ2	−θ2	PROPN
ejpam-3455	514	8	ν	ν	PROPN
ejpam-3455	514	9	)	)	PUNCT
ejpam-3455	515	1	j	j	PROPN
ejpam-3455	515	2	∞∑	∞∑	PRON
ejpam-3455	515	3	k=0	k=0	PROPN
ejpam-3455	515	4	1	1	NUM
ejpam-3455	515	5	k	k	NOUN
ejpam-3455	515	6	!	!	PUNCT
ejpam-3455	516	1	(	(	PUNCT
ejpam-3455	516	2	−	−	PROPN
ejpam-3455	516	3	y√	y√	NOUN
ejpam-3455	516	4	ν	ν	NOUN
ejpam-3455	516	5	)	)	PUNCT
ejpam-3455	517	1	k	k	PROPN
ejpam-3455	518	1	∞∑	∞∑	NOUN
ejpam-3455	518	2	n=0	n=0	NUM
ejpam-3455	518	3	(	(	PUNCT
ejpam-3455	518	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	518	5	×m1,2	×m1,2	PROPN
ejpam-3455	518	6	2,4	2,4	NUM
ejpam-3455	518	7	[	[	PUNCT
ejpam-3455	518	8	mt	mt	PROPN
ejpam-3455	518	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	518	10	+	+	X
ejpam-3455	518	11	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	518	12	2	2	NUM
ejpam-3455	518	13	,	,	PUNCT
ejpam-3455	518	14	1	1	NUM
ejpam-3455	518	15	)	)	PUNCT
ejpam-3455	518	16	(	(	PUNCT
ejpam-3455	518	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	518	18	+	+	CCONJ
ejpam-3455	518	19	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	518	20	2	2	NUM
ejpam-3455	518	21	,	,	PUNCT
ejpam-3455	518	22	0	0	NUM
ejpam-3455	518	23	)	)	PUNCT
ejpam-3455	518	24	(	(	PUNCT
ejpam-3455	518	25	i+j+k+1	i+j+k+1	VERB
ejpam-3455	518	26	2	2	NUM
ejpam-3455	518	27	−2n,1	−2n,1	NOUN
ejpam-3455	518	28	)	)	PUNCT
ejpam-3455	518	29	]	]	PUNCT
ejpam-3455	518	30	.	.	PUNCT
ejpam-3455	519	1	(	(	PUNCT
ejpam-3455	519	2	57	57	NUM
ejpam-3455	519	3	)	)	PUNCT
ejpam-3455	519	4	m.	m.	NOUN
ejpam-3455	519	5	jamil	jamil	PROPN
ejpam-3455	519	6	,	,	PUNCT
ejpam-3455	519	7	i.	i.	PROPN
ejpam-3455	519	8	ahmed	ahmed	PROPN
ejpam-3455	519	9	/	/	PUNCT
ejpam-3455	519	10	eur	eur	PROPN
ejpam-3455	519	11	.	.	PUNCT
ejpam-3455	520	1	j.	j.	PROPN
ejpam-3455	520	2	pure	pure	PROPN
ejpam-3455	520	3	appl	appl	PROPN
ejpam-3455	520	4	.	.	PROPN
ejpam-3455	520	5	math	math	PROPN
ejpam-3455	520	6	,	,	PUNCT
ejpam-3455	520	7	12	12	NUM
ejpam-3455	520	8	(	(	PUNCT
ejpam-3455	520	9	3	3	NUM
ejpam-3455	520	10	)	)	PUNCT
ejpam-3455	520	11	(	(	PUNCT
ejpam-3455	520	12	2019	2019	NUM
ejpam-3455	520	13	)	)	PUNCT
ejpam-3455	520	14	,	,	PUNCT
ejpam-3455	520	15	1018	1018	NUM
ejpam-3455	520	16	-	-	SYM
ejpam-3455	520	17	1051	1051	NUM
ejpam-3455	520	18	1039	1039	NUM
ejpam-3455	520	19	4.9	4.9	NUM
ejpam-3455	520	20	.	.	PUNCT
ejpam-3455	521	1	newtonian	newtonian	ADJ
ejpam-3455	521	2	fluid	fluid	NOUN
ejpam-3455	521	3	in	in	ADP
ejpam-3455	521	4	porous	porous	ADJ
ejpam-3455	521	5	medium	medium	NOUN
ejpam-3455	521	6	without	without	ADP
ejpam-3455	521	7	mhd	mhd	NOUN
ejpam-3455	521	8	putting	put	VERB
ejpam-3455	521	9	m	m	PROPN
ejpam-3455	521	10	→	→	SYM
ejpam-3455	521	11	0	0	NUM
ejpam-3455	521	12	in	in	ADP
ejpam-3455	521	13	the	the	DET
ejpam-3455	521	14	eqs	eqs	PROPN
ejpam-3455	521	15	.	.	PUNCT
ejpam-3455	522	1	(	(	PUNCT
ejpam-3455	522	2	50	50	NUM
ejpam-3455	522	3	)	)	PUNCT
ejpam-3455	522	4	,	,	PUNCT
ejpam-3455	522	5	(	(	PUNCT
ejpam-3455	522	6	51	51	NUM
ejpam-3455	522	7	)	)	PUNCT
ejpam-3455	522	8	,	,	PUNCT
ejpam-3455	522	9	(	(	PUNCT
ejpam-3455	522	10	52	52	NUM
ejpam-3455	522	11	)	)	PUNCT
ejpam-3455	522	12	,	,	PUNCT
ejpam-3455	522	13	and	and	CCONJ
ejpam-3455	522	14	(	(	PUNCT
ejpam-3455	522	15	53	53	NUM
ejpam-3455	522	16	)	)	PUNCT
ejpam-3455	522	17	,	,	PUNCT
ejpam-3455	522	18	we	we	PRON
ejpam-3455	522	19	get	get	VERB
ejpam-3455	522	20	us(y	us(y	PROPN
ejpam-3455	522	21	,	,	PUNCT
ejpam-3455	522	22	t	t	PROPN
ejpam-3455	522	23	)	)	PUNCT
ejpam-3455	523	1	=	=	SYM
ejpam-3455	523	2	u	u	NOUN
ejpam-3455	523	3	sin(ωt	sin(ωt	NOUN
ejpam-3455	523	4	)	)	PUNCT
ejpam-3455	524	1	+	+	CCONJ
ejpam-3455	524	2	uω	uω	ADV
ejpam-3455	524	3	∞∑	∞∑	NUM
ejpam-3455	524	4	i=1	i=1	PRON
ejpam-3455	524	5	(	(	PUNCT
ejpam-3455	524	6	−1)i	−1)i	X
ejpam-3455	524	7	∞∑	∞∑	NUM
ejpam-3455	524	8	j=0	j=0	PROPN
ejpam-3455	524	9	1	1	NUM
ejpam-3455	524	10	j	j	NOUN
ejpam-3455	524	11	!	!	PUNCT
ejpam-3455	525	1	(	(	PUNCT
ejpam-3455	525	2	θ1√	θ1√	NOUN
ejpam-3455	525	3	ν	ν	NOUN
ejpam-3455	525	4	)	)	PUNCT
ejpam-3455	525	5	i−j	i−j	PROPN
ejpam-3455	525	6	(	(	PUNCT
ejpam-3455	525	7	−θ2	−θ2	PROPN
ejpam-3455	525	8	ν	ν	PROPN
ejpam-3455	525	9	)	)	PUNCT
ejpam-3455	526	1	j	j	PROPN
ejpam-3455	526	2	∞∑	∞∑	NOUN
ejpam-3455	526	3	n=0	n=0	NUM
ejpam-3455	526	4	(	(	PUNCT
ejpam-3455	526	5	−ω2)n	−ω2)n	PROPN
ejpam-3455	526	6	×m1,2	×m1,2	PROPN
ejpam-3455	526	7	2,4	2,4	NUM
ejpam-3455	526	8	[	[	PUNCT
ejpam-3455	526	9	ψt	ψt	NUM
ejpam-3455	526	10	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	526	11	+	+	NUM
ejpam-3455	526	12	i+j	i+j	NUM
ejpam-3455	526	13	2	2	NUM
ejpam-3455	526	14	,	,	PUNCT
ejpam-3455	526	15	1	1	NUM
ejpam-3455	526	16	)	)	PUNCT
ejpam-3455	526	17	(	(	PUNCT
ejpam-3455	526	18	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	526	19	+	+	CCONJ
ejpam-3455	526	20	i+j	i+j	NUM
ejpam-3455	526	21	2	2	NUM
ejpam-3455	526	22	,	,	PUNCT
ejpam-3455	526	23	0	0	NUM
ejpam-3455	526	24	)	)	PUNCT
ejpam-3455	526	25	,	,	PUNCT
ejpam-3455	526	26	(	(	PUNCT
ejpam-3455	526	27	i+j2	i+j2	PROPN
ejpam-3455	526	28	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	526	29	)	)	PUNCT
ejpam-3455	526	30	]	]	PUNCT
ejpam-3455	527	1	+	+	ADP
ejpam-3455	527	2	uω	uω	ADV
ejpam-3455	527	3	∞∑	∞∑	PROPN
ejpam-3455	527	4	i=0	i=0	ADJ
ejpam-3455	527	5	(	(	PUNCT
ejpam-3455	527	6	−1)i	−1)i	X
ejpam-3455	527	7	∞∑	∞∑	NUM
ejpam-3455	527	8	j=0	j=0	PROPN
ejpam-3455	527	9	1	1	NUM
ejpam-3455	527	10	j	j	NOUN
ejpam-3455	527	11	!	!	PUNCT
ejpam-3455	528	1	(	(	PUNCT
ejpam-3455	528	2	θ1√	θ1√	NOUN
ejpam-3455	528	3	ν	ν	NOUN
ejpam-3455	528	4	)	)	PUNCT
ejpam-3455	528	5	i−j	i−j	PROPN
ejpam-3455	528	6	(	(	PUNCT
ejpam-3455	528	7	−θ2	−θ2	PROPN
ejpam-3455	528	8	ν	ν	PROPN
ejpam-3455	528	9	)	)	PUNCT
ejpam-3455	529	1	j	j	PROPN
ejpam-3455	530	1	∞∑	∞∑	NUM
ejpam-3455	530	2	k=1	k=1	PROPN
ejpam-3455	530	3	1	1	NUM
ejpam-3455	530	4	k	k	NOUN
ejpam-3455	530	5	!	!	PUNCT
ejpam-3455	531	1	(	(	PUNCT
ejpam-3455	531	2	−	−	PROPN
ejpam-3455	531	3	y√	y√	NOUN
ejpam-3455	531	4	ν	ν	NOUN
ejpam-3455	531	5	)	)	PUNCT
ejpam-3455	532	1	k	k	PROPN
ejpam-3455	533	1	∞∑	∞∑	NOUN
ejpam-3455	533	2	n=0	n=0	NUM
ejpam-3455	533	3	(	(	PUNCT
ejpam-3455	533	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	533	5	×m1,2	×m1,2	PROPN
ejpam-3455	533	6	2,4	2,4	NUM
ejpam-3455	533	7	[	[	PUNCT
ejpam-3455	533	8	ψt	ψt	NUM
ejpam-3455	533	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	533	10	+	+	PROPN
ejpam-3455	533	11	i+j+k	i+j+k	NOUN
ejpam-3455	533	12	2	2	NUM
ejpam-3455	533	13	,	,	PUNCT
ejpam-3455	533	14	1	1	NUM
ejpam-3455	533	15	)	)	PUNCT
ejpam-3455	533	16	(	(	PUNCT
ejpam-3455	533	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	533	18	+	+	CCONJ
ejpam-3455	533	19	i+j+k	i+j+k	NOUN
ejpam-3455	533	20	2	2	NUM
ejpam-3455	533	21	,	,	PUNCT
ejpam-3455	533	22	0	0	NUM
ejpam-3455	533	23	)	)	PUNCT
ejpam-3455	533	24	,	,	PUNCT
ejpam-3455	533	25	(	(	PUNCT
ejpam-3455	533	26	i+j+k2	i+j+k2	PROPN
ejpam-3455	533	27	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	533	28	)	)	PUNCT
ejpam-3455	533	29	]	]	PUNCT
ejpam-3455	533	30	,	,	PUNCT
ejpam-3455	533	31	(	(	PUNCT
ejpam-3455	533	32	58	58	NUM
ejpam-3455	533	33	)	)	PUNCT
ejpam-3455	533	34	uc(y	uc(y	PUNCT
ejpam-3455	533	35	,	,	PUNCT
ejpam-3455	533	36	t	t	PROPN
ejpam-3455	533	37	)	)	PUNCT
ejpam-3455	533	38	=	=	SYM
ejpam-3455	533	39	uh(t	uh(t	X
ejpam-3455	533	40	)	)	PUNCT
ejpam-3455	533	41	cos(ωt	cos(ωt	PRON
ejpam-3455	533	42	)	)	PUNCT
ejpam-3455	533	43	+	+	NOUN
ejpam-3455	533	44	uh(t	uh(t	X
ejpam-3455	533	45	)	)	PUNCT
ejpam-3455	533	46	∞∑	∞∑	NUM
ejpam-3455	533	47	i=1	i=1	X
ejpam-3455	533	48	(	(	PUNCT
ejpam-3455	533	49	−1)i	−1)i	X
ejpam-3455	533	50	∞∑	∞∑	NUM
ejpam-3455	533	51	j=0	j=0	PROPN
ejpam-3455	533	52	1	1	NUM
ejpam-3455	533	53	j	j	NOUN
ejpam-3455	533	54	!	!	PUNCT
ejpam-3455	534	1	(	(	PUNCT
ejpam-3455	534	2	θ1√	θ1√	NOUN
ejpam-3455	534	3	ν	ν	NOUN
ejpam-3455	534	4	)	)	PUNCT
ejpam-3455	534	5	i−j	i−j	PROPN
ejpam-3455	534	6	(	(	PUNCT
ejpam-3455	534	7	−θ2	−θ2	PROPN
ejpam-3455	534	8	ν	ν	PROPN
ejpam-3455	534	9	)	)	PUNCT
ejpam-3455	535	1	j	j	PROPN
ejpam-3455	535	2	∞∑	∞∑	NOUN
ejpam-3455	535	3	n=0	n=0	NUM
ejpam-3455	535	4	(	(	PUNCT
ejpam-3455	535	5	−ω2)n	−ω2)n	PROPN
ejpam-3455	535	6	×m1,2	×m1,2	PROPN
ejpam-3455	535	7	2,4	2,4	NUM
ejpam-3455	535	8	[	[	PUNCT
ejpam-3455	535	9	ψt	ψt	NUM
ejpam-3455	535	10	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	535	11	+	+	NUM
ejpam-3455	535	12	i+j	i+j	NUM
ejpam-3455	535	13	2	2	NUM
ejpam-3455	535	14	,	,	PUNCT
ejpam-3455	535	15	1	1	NUM
ejpam-3455	535	16	)	)	PUNCT
ejpam-3455	535	17	(	(	PUNCT
ejpam-3455	535	18	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	535	19	+	+	CCONJ
ejpam-3455	535	20	i+j	i+j	NUM
ejpam-3455	535	21	2	2	NUM
ejpam-3455	535	22	,	,	PUNCT
ejpam-3455	535	23	0	0	NUM
ejpam-3455	535	24	)	)	PUNCT
ejpam-3455	535	25	,	,	PUNCT
ejpam-3455	535	26	(	(	PUNCT
ejpam-3455	535	27	i+j2	i+j2	VERB
ejpam-3455	535	28	−2n,1	−2n,1	PROPN
ejpam-3455	535	29	)	)	PUNCT
ejpam-3455	535	30	]	]	PUNCT
ejpam-3455	536	1	+	+	X
ejpam-3455	536	2	uh(t	uh(t	X
ejpam-3455	536	3	)	)	PUNCT
ejpam-3455	536	4	∞∑	∞∑	PROPN
ejpam-3455	536	5	i=0	i=0	PROPN
ejpam-3455	536	6	(	(	PUNCT
ejpam-3455	536	7	−1)i	−1)i	X
ejpam-3455	536	8	∞∑	∞∑	NUM
ejpam-3455	536	9	j=0	j=0	PROPN
ejpam-3455	536	10	1	1	NUM
ejpam-3455	536	11	j	j	NOUN
ejpam-3455	536	12	!	!	PUNCT
ejpam-3455	536	13	(	(	PUNCT
ejpam-3455	536	14	θ1√	θ1√	NOUN
ejpam-3455	536	15	ν	ν	NOUN
ejpam-3455	536	16	)	)	PUNCT
ejpam-3455	536	17	i−j	i−j	PROPN
ejpam-3455	536	18	(	(	PUNCT
ejpam-3455	536	19	−θ2	−θ2	PROPN
ejpam-3455	536	20	ν	ν	PROPN
ejpam-3455	536	21	)	)	PUNCT
ejpam-3455	536	22	j	j	PROPN
ejpam-3455	537	1	∞∑	∞∑	NUM
ejpam-3455	537	2	k=1	k=1	PROPN
ejpam-3455	537	3	1	1	NUM
ejpam-3455	537	4	k	k	NOUN
ejpam-3455	537	5	!	!	PUNCT
ejpam-3455	538	1	(	(	PUNCT
ejpam-3455	538	2	−	−	PROPN
ejpam-3455	538	3	y√	y√	NOUN
ejpam-3455	538	4	ν	ν	NOUN
ejpam-3455	538	5	)	)	PUNCT
ejpam-3455	539	1	k	k	PROPN
ejpam-3455	540	1	∞∑	∞∑	NOUN
ejpam-3455	540	2	n=0	n=0	NUM
ejpam-3455	540	3	(	(	PUNCT
ejpam-3455	540	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	540	5	×m1,2	×m1,2	PROPN
ejpam-3455	540	6	2,4	2,4	NUM
ejpam-3455	540	7	[	[	PUNCT
ejpam-3455	540	8	ψt	ψt	NUM
ejpam-3455	540	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	540	10	+	+	PROPN
ejpam-3455	540	11	i+j+k	i+j+k	NOUN
ejpam-3455	540	12	2	2	NUM
ejpam-3455	540	13	,	,	PUNCT
ejpam-3455	540	14	1	1	NUM
ejpam-3455	540	15	)	)	PUNCT
ejpam-3455	540	16	(	(	PUNCT
ejpam-3455	540	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	540	18	+	+	CCONJ
ejpam-3455	540	19	i+j+k	i+j+k	NOUN
ejpam-3455	540	20	2	2	NUM
ejpam-3455	540	21	,	,	PUNCT
ejpam-3455	540	22	0	0	NUM
ejpam-3455	540	23	)	)	PUNCT
ejpam-3455	540	24	,	,	PUNCT
ejpam-3455	540	25	(	(	PUNCT
ejpam-3455	540	26	i+j+k2	i+j+k2	PROPN
ejpam-3455	540	27	−2n,1	−2n,1	PROPN
ejpam-3455	540	28	)	)	PUNCT
ejpam-3455	540	29	]	]	PUNCT
ejpam-3455	540	30	,	,	PUNCT
ejpam-3455	540	31	(	(	PUNCT
ejpam-3455	540	32	59	59	NUM
ejpam-3455	540	33	)	)	PUNCT
ejpam-3455	540	34	and	and	CCONJ
ejpam-3455	540	35	τs(y	τs(y	NUM
ejpam-3455	540	36	,	,	PUNCT
ejpam-3455	540	37	t	t	PROPN
ejpam-3455	540	38	)	)	PUNCT
ejpam-3455	540	39	=	=	SYM
ejpam-3455	541	1	−uµω√	−uµω√	NUM
ejpam-3455	541	2	ν	ν	NOUN
ejpam-3455	541	3	∞∑	∞∑	PROPN
ejpam-3455	541	4	i=0	i=0	PROPN
ejpam-3455	541	5	(	(	PUNCT
ejpam-3455	541	6	−1)i	−1)i	X
ejpam-3455	541	7	∞∑	∞∑	NUM
ejpam-3455	541	8	j=0	j=0	PROPN
ejpam-3455	541	9	1	1	NUM
ejpam-3455	541	10	j	j	NOUN
ejpam-3455	541	11	!	!	PUNCT
ejpam-3455	542	1	(	(	PUNCT
ejpam-3455	542	2	θ1√	θ1√	NOUN
ejpam-3455	542	3	ν	ν	NOUN
ejpam-3455	542	4	)	)	PUNCT
ejpam-3455	542	5	i−j	i−j	PROPN
ejpam-3455	542	6	(	(	PUNCT
ejpam-3455	542	7	−θ2	−θ2	PROPN
ejpam-3455	542	8	ν	ν	PROPN
ejpam-3455	542	9	)	)	PUNCT
ejpam-3455	543	1	j	j	PROPN
ejpam-3455	543	2	∞∑	∞∑	PRON
ejpam-3455	543	3	k=0	k=0	PROPN
ejpam-3455	543	4	1	1	NUM
ejpam-3455	543	5	k	k	NOUN
ejpam-3455	543	6	!	!	PUNCT
ejpam-3455	544	1	(	(	PUNCT
ejpam-3455	544	2	−	−	PROPN
ejpam-3455	544	3	y√	y√	NOUN
ejpam-3455	544	4	ν	ν	NOUN
ejpam-3455	544	5	)	)	PUNCT
ejpam-3455	545	1	k	k	PROPN
ejpam-3455	546	1	∞∑	∞∑	NOUN
ejpam-3455	546	2	n=0	n=0	NUM
ejpam-3455	546	3	(	(	PUNCT
ejpam-3455	546	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	546	5	m.	m.	PROPN
ejpam-3455	546	6	jamil	jamil	PROPN
ejpam-3455	546	7	,	,	PUNCT
ejpam-3455	546	8	i.	i.	PROPN
ejpam-3455	546	9	ahmed	ahmed	PROPN
ejpam-3455	546	10	/	/	PUNCT
ejpam-3455	546	11	eur	eur	PROPN
ejpam-3455	546	12	.	.	PUNCT
ejpam-3455	547	1	j.	j.	PROPN
ejpam-3455	547	2	pure	pure	PROPN
ejpam-3455	547	3	appl	appl	PROPN
ejpam-3455	547	4	.	.	PROPN
ejpam-3455	547	5	math	math	PROPN
ejpam-3455	547	6	,	,	PUNCT
ejpam-3455	547	7	12	12	NUM
ejpam-3455	547	8	(	(	PUNCT
ejpam-3455	547	9	3	3	NUM
ejpam-3455	547	10	)	)	PUNCT
ejpam-3455	547	11	(	(	PUNCT
ejpam-3455	547	12	2019	2019	NUM
ejpam-3455	547	13	)	)	PUNCT
ejpam-3455	547	14	,	,	PUNCT
ejpam-3455	547	15	1018	1018	NUM
ejpam-3455	547	16	-	-	SYM
ejpam-3455	547	17	1051	1051	NUM
ejpam-3455	547	18	1040	1040	NUM
ejpam-3455	547	19	×m1,2	×m1,2	NOUN
ejpam-3455	547	20	2,4	2,4	NUM
ejpam-3455	547	21	[	[	PUNCT
ejpam-3455	547	22	ψt	ψt	NUM
ejpam-3455	547	23	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	547	24	+	+	NOUN
ejpam-3455	547	25	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	547	26	2	2	NUM
ejpam-3455	547	27	,	,	PUNCT
ejpam-3455	547	28	1	1	NUM
ejpam-3455	547	29	)	)	PUNCT
ejpam-3455	547	30	(	(	PUNCT
ejpam-3455	547	31	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	547	32	+	+	CCONJ
ejpam-3455	547	33	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	547	34	2	2	NUM
ejpam-3455	547	35	,	,	PUNCT
ejpam-3455	547	36	0	0	NUM
ejpam-3455	547	37	)	)	PUNCT
ejpam-3455	547	38	(	(	PUNCT
ejpam-3455	547	39	i+j+k+1	i+j+k+1	VERB
ejpam-3455	547	40	2	2	NUM
ejpam-3455	547	41	−2n−1,1	−2n−1,1	PROPN
ejpam-3455	547	42	)	)	PUNCT
ejpam-3455	547	43	]	]	PUNCT
ejpam-3455	547	44	,	,	PUNCT
ejpam-3455	547	45	(	(	PUNCT
ejpam-3455	547	46	60	60	NUM
ejpam-3455	547	47	)	)	PUNCT
ejpam-3455	547	48	τc(y	τc(y	PUNCT
ejpam-3455	547	49	,	,	PUNCT
ejpam-3455	547	50	t	t	PROPN
ejpam-3455	547	51	)	)	PUNCT
ejpam-3455	547	52	=	=	SYM
ejpam-3455	548	1	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	548	2	ν	ν	PROPN
ejpam-3455	548	3	∞∑	∞∑	PROPN
ejpam-3455	548	4	i=0	i=0	PROPN
ejpam-3455	548	5	(	(	PUNCT
ejpam-3455	548	6	−1)i	−1)i	X
ejpam-3455	548	7	∞∑	∞∑	NUM
ejpam-3455	548	8	j=0	j=0	PROPN
ejpam-3455	548	9	1	1	NUM
ejpam-3455	548	10	j	j	NOUN
ejpam-3455	548	11	!	!	PUNCT
ejpam-3455	549	1	(	(	PUNCT
ejpam-3455	549	2	θ1√	θ1√	NOUN
ejpam-3455	549	3	ν	ν	NOUN
ejpam-3455	549	4	)	)	PUNCT
ejpam-3455	549	5	i−j	i−j	PROPN
ejpam-3455	549	6	(	(	PUNCT
ejpam-3455	549	7	−θ2	−θ2	PROPN
ejpam-3455	549	8	ν	ν	PROPN
ejpam-3455	549	9	)	)	PUNCT
ejpam-3455	550	1	j	j	PROPN
ejpam-3455	550	2	∞∑	∞∑	PRON
ejpam-3455	550	3	k=0	k=0	PROPN
ejpam-3455	550	4	1	1	NUM
ejpam-3455	550	5	k	k	NOUN
ejpam-3455	550	6	!	!	PUNCT
ejpam-3455	551	1	(	(	PUNCT
ejpam-3455	551	2	−	−	PROPN
ejpam-3455	551	3	y√	y√	NOUN
ejpam-3455	551	4	ν	ν	NOUN
ejpam-3455	551	5	)	)	PUNCT
ejpam-3455	552	1	k	k	PROPN
ejpam-3455	553	1	∞∑	∞∑	NOUN
ejpam-3455	553	2	n=0	n=0	NUM
ejpam-3455	553	3	(	(	PUNCT
ejpam-3455	553	4	−ω2)n	−ω2)n	PROPN
ejpam-3455	553	5	×m1,2	×m1,2	PROPN
ejpam-3455	553	6	2,4	2,4	NUM
ejpam-3455	553	7	[	[	PUNCT
ejpam-3455	553	8	ψt	ψt	NUM
ejpam-3455	553	9	∣∣∣∣(1+i−j,0),(1	∣∣∣∣(1+i−j,0),(1	PROPN
ejpam-3455	553	10	+	+	NOUN
ejpam-3455	553	11	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	553	12	2	2	NUM
ejpam-3455	553	13	,	,	PUNCT
ejpam-3455	553	14	1	1	NUM
ejpam-3455	553	15	)	)	PUNCT
ejpam-3455	553	16	(	(	PUNCT
ejpam-3455	553	17	0,1),(1+i,0),(1	0,1),(1+i,0),(1	ADJ
ejpam-3455	553	18	+	+	CCONJ
ejpam-3455	553	19	i+j+k+1	i+j+k+1	ADJ
ejpam-3455	553	20	2	2	NUM
ejpam-3455	553	21	,	,	PUNCT
ejpam-3455	553	22	0	0	NUM
ejpam-3455	553	23	)	)	PUNCT
ejpam-3455	553	24	,	,	PUNCT
ejpam-3455	553	25	(	(	PUNCT
ejpam-3455	553	26	i+j+k+1	i+j+k+1	VERB
ejpam-3455	553	27	2	2	NUM
ejpam-3455	553	28	−2n,1	−2n,1	NOUN
ejpam-3455	553	29	)	)	PUNCT
ejpam-3455	553	30	]	]	PUNCT
ejpam-3455	553	31	.	.	PUNCT
ejpam-3455	554	1	(	(	PUNCT
ejpam-3455	554	2	61	61	NUM
ejpam-3455	554	3	)	)	PUNCT
ejpam-3455	554	4	4.10	4.10	NUM
ejpam-3455	554	5	.	.	PUNCT
ejpam-3455	555	1	newtonian	newtonian	ADJ
ejpam-3455	555	2	fluid	fluid	NOUN
ejpam-3455	555	3	without	without	ADP
ejpam-3455	555	4	mhd	mhd	PROPN
ejpam-3455	555	5	&	&	CCONJ
ejpam-3455	555	6	porous	porous	ADJ
ejpam-3455	555	7	effects	effect	NOUN
ejpam-3455	555	8	putting	put	VERB
ejpam-3455	555	9	λ	λ	X
ejpam-3455	555	10	→	→	SYM
ejpam-3455	555	11	0	0	NUM
ejpam-3455	555	12	,	,	PUNCT
ejpam-3455	555	13	m	m	VERB
ejpam-3455	555	14	→	→	SYM
ejpam-3455	555	15	0	0	NUM
ejpam-3455	555	16	and	and	CCONJ
ejpam-3455	555	17	ψ	ψ	X
ejpam-3455	555	18	→	→	SYM
ejpam-3455	555	19	0	0	NUM
ejpam-3455	555	20	into	into	ADP
ejpam-3455	555	21	eqs	eqs	PROPN
ejpam-3455	555	22	.	.	PUNCT
ejpam-3455	556	1	(	(	PUNCT
ejpam-3455	556	2	14	14	NUM
ejpam-3455	556	3	)	)	PUNCT
ejpam-3455	556	4	and	and	CCONJ
ejpam-3455	556	5	(	(	PUNCT
ejpam-3455	556	6	21	21	NUM
ejpam-3455	556	7	)	)	PUNCT
ejpam-3455	557	1	and	and	CCONJ
ejpam-3455	557	2	proceed	proceed	VERB
ejpam-3455	557	3	to	to	PART
ejpam-3455	557	4	calculate	calculate	VERB
ejpam-3455	557	5	the	the	DET
ejpam-3455	557	6	velocity	velocity	NOUN
ejpam-3455	557	7	fields	field	NOUN
ejpam-3455	557	8	and	and	CCONJ
ejpam-3455	557	9	shear	shear	NOUN
ejpam-3455	557	10	stresses	stress	NOUN
ejpam-3455	557	11	,	,	PUNCT
ejpam-3455	557	12	yields	yield	VERB
ejpam-3455	557	13	the	the	DET
ejpam-3455	557	14	results	result	NOUN
ejpam-3455	557	15	us(y	us(y	PROPN
ejpam-3455	557	16	,	,	PUNCT
ejpam-3455	557	17	t	t	PROPN
ejpam-3455	557	18	)	)	PUNCT
ejpam-3455	558	1	=	=	SYM
ejpam-3455	558	2	u	u	NOUN
ejpam-3455	558	3	sin(ωt	sin(ωt	NOUN
ejpam-3455	558	4	)	)	PUNCT
ejpam-3455	559	1	+	+	CCONJ
ejpam-3455	559	2	uω	uω	ADV
ejpam-3455	559	3	∞∑	∞∑	NUM
ejpam-3455	559	4	i=1	i=1	X
ejpam-3455	559	5	(	(	PUNCT
ejpam-3455	559	6	−	−	PROPN
ejpam-3455	559	7	θ1√	θ1√	NOUN
ejpam-3455	559	8	ν	ν	NOUN
ejpam-3455	559	9	)	)	PUNCT
ejpam-3455	560	1	i	i	PRON
ejpam-3455	560	2	∞∑	∞∑	NUM
ejpam-3455	560	3	n=0	n=0	PUNCT
ejpam-3455	560	4	(	(	PUNCT
ejpam-3455	560	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	560	6	1,3	1,3	NUM
ejpam-3455	560	7	[	[	PUNCT
ejpam-3455	560	8	θ2	θ2	NOUN
ejpam-3455	560	9	θ1	θ1	NOUN
ejpam-3455	560	10	√	√	PROPN
ejpam-3455	560	11	νt	νt	PROPN
ejpam-3455	560	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	560	13	)	)	PUNCT
ejpam-3455	560	14	(	(	PUNCT
ejpam-3455	560	15	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	560	16	)	)	PUNCT
ejpam-3455	560	17	,	,	PUNCT
ejpam-3455	560	18	(	(	PUNCT
ejpam-3455	560	19	i2−2n−1,−	i2−2n−1,−	PROPN
ejpam-3455	560	20	1	1	NUM
ejpam-3455	560	21	2	2	NUM
ejpam-3455	560	22	)	)	PUNCT
ejpam-3455	560	23	]	]	PUNCT
ejpam-3455	561	1	+	+	ADP
ejpam-3455	561	2	uω	uω	ADV
ejpam-3455	561	3	∞∑	∞∑	PROPN
ejpam-3455	561	4	i=0	i=0	PROPN
ejpam-3455	561	5	(	(	PUNCT
ejpam-3455	561	6	θ1√	θ1√	NOUN
ejpam-3455	561	7	ν	ν	NOUN
ejpam-3455	561	8	)	)	PUNCT
ejpam-3455	562	1	i	i	PRON
ejpam-3455	563	1	∞∑	∞∑	NUM
ejpam-3455	563	2	k=1	k=1	ADP
ejpam-3455	564	1	1	1	NUM
ejpam-3455	564	2	k	k	NOUN
ejpam-3455	564	3	!	!	PUNCT
ejpam-3455	565	1	(	(	PUNCT
ejpam-3455	565	2	−	−	PROPN
ejpam-3455	565	3	y√	y√	NOUN
ejpam-3455	565	4	ν	ν	NOUN
ejpam-3455	565	5	)	)	PUNCT
ejpam-3455	566	1	k	k	PROPN
ejpam-3455	566	2	∞∑	∞∑	PROPN
ejpam-3455	566	3	n=0	n=0	NUM
ejpam-3455	566	4	(	(	PUNCT
ejpam-3455	566	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	566	6	1,3	1,3	NUM
ejpam-3455	566	7	[	[	PUNCT
ejpam-3455	566	8	θ2	θ2	NOUN
ejpam-3455	566	9	θ1	θ1	NOUN
ejpam-3455	566	10	√	√	PROPN
ejpam-3455	566	11	νt	νt	PROPN
ejpam-3455	566	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	566	13	)	)	PUNCT
ejpam-3455	567	1	(	(	PUNCT
ejpam-3455	567	2	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	567	3	)	)	PUNCT
ejpam-3455	567	4	,	,	PUNCT
ejpam-3455	567	5	(	(	PUNCT
ejpam-3455	567	6	i+k2	i+k2	PROPN
ejpam-3455	567	7	−2n−1,−	−2n−1,−	NOUN
ejpam-3455	567	8	1	1	NUM
ejpam-3455	567	9	2	2	NUM
ejpam-3455	567	10	)	)	PUNCT
ejpam-3455	567	11	]	]	PUNCT
ejpam-3455	567	12	,	,	PUNCT
ejpam-3455	567	13	(	(	PUNCT
ejpam-3455	567	14	62	62	NUM
ejpam-3455	567	15	)	)	PUNCT
ejpam-3455	567	16	uc(y	uc(y	PUNCT
ejpam-3455	567	17	,	,	PUNCT
ejpam-3455	567	18	t	t	PROPN
ejpam-3455	567	19	)	)	PUNCT
ejpam-3455	567	20	=	=	SYM
ejpam-3455	567	21	uh(t	uh(t	X
ejpam-3455	567	22	)	)	PUNCT
ejpam-3455	567	23	cos(ωt	cos(ωt	PRON
ejpam-3455	567	24	)	)	PUNCT
ejpam-3455	568	1	+	+	NOUN
ejpam-3455	568	2	uh(t	uh(t	X
ejpam-3455	568	3	)	)	PUNCT
ejpam-3455	568	4	∞∑	∞∑	NUM
ejpam-3455	568	5	i=1	i=1	X
ejpam-3455	568	6	(	(	PUNCT
ejpam-3455	568	7	−	−	PROPN
ejpam-3455	568	8	θ1√	θ1√	NOUN
ejpam-3455	568	9	ν	ν	NOUN
ejpam-3455	568	10	)	)	PUNCT
ejpam-3455	569	1	i	i	PRON
ejpam-3455	569	2	∞∑	∞∑	NUM
ejpam-3455	569	3	n=0	n=0	PUNCT
ejpam-3455	569	4	(	(	PUNCT
ejpam-3455	569	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	569	6	1,3	1,3	NUM
ejpam-3455	569	7	[	[	PUNCT
ejpam-3455	569	8	θ2	θ2	NOUN
ejpam-3455	569	9	θ1	θ1	NOUN
ejpam-3455	569	10	√	√	PROPN
ejpam-3455	569	11	νt	νt	PROPN
ejpam-3455	569	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	569	13	)	)	PUNCT
ejpam-3455	569	14	(	(	PUNCT
ejpam-3455	569	15	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	569	16	)	)	PUNCT
ejpam-3455	569	17	,	,	PUNCT
ejpam-3455	569	18	(	(	PUNCT
ejpam-3455	569	19	i2−2n,−	i2−2n,−	ADV
ejpam-3455	569	20	1	1	NUM
ejpam-3455	569	21	2	2	NUM
ejpam-3455	569	22	)	)	PUNCT
ejpam-3455	569	23	]	]	PUNCT
ejpam-3455	570	1	+	+	X
ejpam-3455	570	2	uh(t	uh(t	X
ejpam-3455	570	3	)	)	PUNCT
ejpam-3455	570	4	∞∑	∞∑	PROPN
ejpam-3455	570	5	i=0	i=0	PROPN
ejpam-3455	570	6	(	(	PUNCT
ejpam-3455	570	7	θ1√	θ1√	NOUN
ejpam-3455	570	8	ν	ν	NOUN
ejpam-3455	570	9	)	)	PUNCT
ejpam-3455	570	10	i	i	PRON
ejpam-3455	570	11	∞∑	∞∑	NUM
ejpam-3455	570	12	k=1	k=1	ADP
ejpam-3455	570	13	1	1	NUM
ejpam-3455	570	14	k	k	NOUN
ejpam-3455	570	15	!	!	PUNCT
ejpam-3455	571	1	(	(	PUNCT
ejpam-3455	571	2	−	−	PROPN
ejpam-3455	571	3	y√	y√	NOUN
ejpam-3455	571	4	ν	ν	NOUN
ejpam-3455	571	5	)	)	PUNCT
ejpam-3455	572	1	k	k	PROPN
ejpam-3455	572	2	∞∑	∞∑	PROPN
ejpam-3455	572	3	n=0	n=0	NUM
ejpam-3455	572	4	(	(	PUNCT
ejpam-3455	572	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	572	6	1,3	1,3	NUM
ejpam-3455	572	7	[	[	PUNCT
ejpam-3455	572	8	θ2	θ2	NOUN
ejpam-3455	572	9	θ1	θ1	NOUN
ejpam-3455	572	10	√	√	PROPN
ejpam-3455	572	11	νt	νt	PROPN
ejpam-3455	572	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	572	13	)	)	PUNCT
ejpam-3455	573	1	(	(	PUNCT
ejpam-3455	573	2	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	573	3	)	)	PUNCT
ejpam-3455	573	4	,	,	PUNCT
ejpam-3455	573	5	(	(	PUNCT
ejpam-3455	573	6	i+k2	i+k2	ADV
ejpam-3455	573	7	−2n,−	−2n,−	ADV
ejpam-3455	573	8	1	1	NUM
ejpam-3455	573	9	2	2	NUM
ejpam-3455	573	10	)	)	PUNCT
ejpam-3455	573	11	]	]	PUNCT
ejpam-3455	573	12	,	,	PUNCT
ejpam-3455	573	13	(	(	PUNCT
ejpam-3455	573	14	63	63	NUM
ejpam-3455	573	15	)	)	PUNCT
ejpam-3455	573	16	and	and	CCONJ
ejpam-3455	573	17	τs(y	τs(y	NUM
ejpam-3455	573	18	,	,	PUNCT
ejpam-3455	573	19	t	t	PROPN
ejpam-3455	573	20	)	)	PUNCT
ejpam-3455	573	21	=	=	SYM
ejpam-3455	574	1	−uµω√	−uµω√	NUM
ejpam-3455	574	2	ν	ν	NOUN
ejpam-3455	574	3	∞∑	∞∑	PROPN
ejpam-3455	574	4	i=0	i=0	PROPN
ejpam-3455	574	5	(	(	PUNCT
ejpam-3455	574	6	θ1√	θ1√	NOUN
ejpam-3455	574	7	ν	ν	NOUN
ejpam-3455	574	8	)	)	PUNCT
ejpam-3455	574	9	i	i	PRON
ejpam-3455	574	10	∞∑	∞∑	ADJ
ejpam-3455	574	11	k=0	k=0	PROPN
ejpam-3455	574	12	1	1	NUM
ejpam-3455	574	13	k	k	NOUN
ejpam-3455	574	14	!	!	PUNCT
ejpam-3455	575	1	(	(	PUNCT
ejpam-3455	575	2	−	−	PROPN
ejpam-3455	575	3	y√	y√	NOUN
ejpam-3455	575	4	ν	ν	NOUN
ejpam-3455	575	5	)	)	PUNCT
ejpam-3455	576	1	k	k	PROPN
ejpam-3455	576	2	∞∑	∞∑	PROPN
ejpam-3455	576	3	n=0	n=0	NUM
ejpam-3455	576	4	(	(	PUNCT
ejpam-3455	576	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	576	6	1,3	1,3	NUM
ejpam-3455	576	7	[	[	PUNCT
ejpam-3455	576	8	θ2	θ2	NOUN
ejpam-3455	576	9	θ1	θ1	NOUN
ejpam-3455	576	10	√	√	PROPN
ejpam-3455	576	11	νt	νt	PROPN
ejpam-3455	576	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	576	13	)	)	PUNCT
ejpam-3455	577	1	(	(	PUNCT
ejpam-3455	577	2	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	577	3	)	)	PUNCT
ejpam-3455	577	4	(	(	PUNCT
ejpam-3455	577	5	i+k+1	i+k+1	ADP
ejpam-3455	577	6	2	2	NUM
ejpam-3455	577	7	−2n−1,−	−2n−1,−	NUM
ejpam-3455	577	8	1	1	NUM
ejpam-3455	577	9	2	2	NUM
ejpam-3455	577	10	)	)	PUNCT
ejpam-3455	577	11	]	]	PUNCT
ejpam-3455	577	12	,	,	PUNCT
ejpam-3455	577	13	(	(	PUNCT
ejpam-3455	577	14	64	64	NUM
ejpam-3455	577	15	)	)	PUNCT
ejpam-3455	577	16	τc(y	τc(y	PUNCT
ejpam-3455	577	17	,	,	PUNCT
ejpam-3455	577	18	t	t	PROPN
ejpam-3455	577	19	)	)	PUNCT
ejpam-3455	577	20	=	=	SYM
ejpam-3455	577	21	−uh(t)µ√	−uh(t)µ√	PROPN
ejpam-3455	577	22	ν	ν	PROPN
ejpam-3455	577	23	∞∑	∞∑	PROPN
ejpam-3455	577	24	i=0	i=0	PROPN
ejpam-3455	577	25	(	(	PUNCT
ejpam-3455	577	26	θ1√	θ1√	NOUN
ejpam-3455	577	27	ν	ν	NOUN
ejpam-3455	577	28	)	)	PUNCT
ejpam-3455	578	1	i	i	PRON
ejpam-3455	578	2	∞∑	∞∑	ADJ
ejpam-3455	578	3	k=0	k=0	PROPN
ejpam-3455	578	4	1	1	NUM
ejpam-3455	578	5	k	k	NOUN
ejpam-3455	578	6	!	!	PUNCT
ejpam-3455	579	1	(	(	PUNCT
ejpam-3455	579	2	−	−	PROPN
ejpam-3455	579	3	y√	y√	NOUN
ejpam-3455	579	4	ν	ν	NOUN
ejpam-3455	579	5	)	)	PUNCT
ejpam-3455	580	1	k	k	PROPN
ejpam-3455	580	2	∞∑	∞∑	PROPN
ejpam-3455	580	3	n=0	n=0	NUM
ejpam-3455	580	4	(	(	PUNCT
ejpam-3455	580	5	−ω2)nm1,1	−ω2)nm1,1	PROPN
ejpam-3455	580	6	1,3	1,3	NUM
ejpam-3455	580	7	[	[	PUNCT
ejpam-3455	580	8	θ2	θ2	NOUN
ejpam-3455	580	9	θ1	θ1	NOUN
ejpam-3455	580	10	√	√	PROPN
ejpam-3455	580	11	νt	νt	PROPN
ejpam-3455	580	12	∣∣∣∣(1+i,1	∣∣∣∣(1+i,1	PROPN
ejpam-3455	580	13	)	)	PUNCT
ejpam-3455	581	1	(	(	PUNCT
ejpam-3455	581	2	0,1),(1+i,0	0,1),(1+i,0	PROPN
ejpam-3455	581	3	)	)	PUNCT
ejpam-3455	581	4	(	(	PUNCT
ejpam-3455	581	5	i+k+1	i+k+1	ADP
ejpam-3455	581	6	2	2	NUM
ejpam-3455	581	7	−2n,−	−2n,−	ADP
ejpam-3455	581	8	1	1	NUM
ejpam-3455	581	9	2	2	NUM
ejpam-3455	581	10	)	)	PUNCT
ejpam-3455	581	11	]	]	PUNCT
ejpam-3455	582	1	.(65	.(65	X
ejpam-3455	582	2	)	)	PUNCT
ejpam-3455	582	3	m.	m.	PROPN
ejpam-3455	582	4	jamil	jamil	PROPN
ejpam-3455	582	5	,	,	PUNCT
ejpam-3455	582	6	i.	i.	PROPN
ejpam-3455	582	7	ahmed	ahmed	PROPN
ejpam-3455	582	8	/	/	PUNCT
ejpam-3455	582	9	eur	eur	PROPN
ejpam-3455	582	10	.	.	PUNCT
ejpam-3455	583	1	j.	j.	PROPN
ejpam-3455	583	2	pure	pure	PROPN
ejpam-3455	583	3	appl	appl	PROPN
ejpam-3455	583	4	.	.	PROPN
ejpam-3455	583	5	math	math	PROPN
ejpam-3455	583	6	,	,	PUNCT
ejpam-3455	583	7	12	12	NUM
ejpam-3455	583	8	(	(	PUNCT
ejpam-3455	583	9	3	3	NUM
ejpam-3455	583	10	)	)	PUNCT
ejpam-3455	583	11	(	(	PUNCT
ejpam-3455	583	12	2019	2019	NUM
ejpam-3455	583	13	)	)	PUNCT
ejpam-3455	583	14	,	,	PUNCT
ejpam-3455	583	15	1018	1018	NUM
ejpam-3455	583	16	-	-	SYM
ejpam-3455	583	17	1051	1051	NUM
ejpam-3455	583	18	1041	1041	NUM
ejpam-3455	583	19	5	5	NUM
ejpam-3455	583	20	.	.	PUNCT
ejpam-3455	583	21	numerical	numerical	ADJ
ejpam-3455	583	22	results	result	NOUN
ejpam-3455	583	23	and	and	CCONJ
ejpam-3455	583	24	discussion	discussion	VERB
ejpam-3455	583	25	the	the	DET
ejpam-3455	583	26	objective	objective	NOUN
ejpam-3455	583	27	of	of	ADP
ejpam-3455	583	28	this	this	DET
ejpam-3455	583	29	study	study	NOUN
ejpam-3455	583	30	is	be	AUX
ejpam-3455	583	31	to	to	PART
ejpam-3455	583	32	acquire	acquire	VERB
ejpam-3455	583	33	the	the	DET
ejpam-3455	583	34	exact	exact	ADJ
ejpam-3455	583	35	analytical	analytical	ADJ
ejpam-3455	583	36	solutions	solution	NOUN
ejpam-3455	583	37	of	of	ADP
ejpam-3455	583	38	velocity	velocity	NOUN
ejpam-3455	583	39	fields	field	NOUN
ejpam-3455	583	40	u(y	u(y	PROPN
ejpam-3455	583	41	,	,	PUNCT
ejpam-3455	583	42	t	t	PROPN
ejpam-3455	583	43	)	)	PUNCT
ejpam-3455	583	44	and	and	CCONJ
ejpam-3455	583	45	the	the	DET
ejpam-3455	583	46	shear	shear	NOUN
ejpam-3455	583	47	stresses	stress	VERB
ejpam-3455	583	48	τ(y	τ(y	PROPN
ejpam-3455	583	49	,	,	PUNCT
ejpam-3455	583	50	t	t	PROPN
ejpam-3455	583	51	)	)	PUNCT
ejpam-3455	583	52	for	for	ADP
ejpam-3455	583	53	the	the	DET
ejpam-3455	583	54	unsteady	unsteady	ADJ
ejpam-3455	583	55	flow	flow	NOUN
ejpam-3455	583	56	of	of	ADP
ejpam-3455	583	57	incompressible	incompressible	ADJ
ejpam-3455	583	58	fractionalized	fractionalize	VERB
ejpam-3455	583	59	mhd	mhd	PROPN
ejpam-3455	583	60	maxwell	maxwell	PROPN
ejpam-3455	583	61	fluid	fluid	NOUN
ejpam-3455	583	62	under	under	ADP
ejpam-3455	583	63	the	the	DET
ejpam-3455	583	64	effect	effect	NOUN
ejpam-3455	583	65	of	of	ADP
ejpam-3455	583	66	twice	twice	ADJ
ejpam-3455	583	67	order	order	NOUN
ejpam-3455	583	68	slip	slip	NOUN
ejpam-3455	583	69	between	between	ADP
ejpam-3455	583	70	porous	porous	ADJ
ejpam-3455	583	71	plate	plate	NOUN
ejpam-3455	583	72	and	and	CCONJ
ejpam-3455	583	73	the	the	DET
ejpam-3455	583	74	fluid	fluid	NOUN
ejpam-3455	583	75	in	in	ADP
ejpam-3455	583	76	consideration	consideration	NOUN
ejpam-3455	583	77	of	of	ADP
ejpam-3455	583	78	magnetic	magnetic	ADJ
ejpam-3455	583	79	field	field	NOUN
ejpam-3455	583	80	normal	normal	ADJ
ejpam-3455	583	81	to	to	ADP
ejpam-3455	583	82	the	the	DET
ejpam-3455	583	83	plate	plate	NOUN
ejpam-3455	583	84	.	.	PUNCT
ejpam-3455	584	1	the	the	DET
ejpam-3455	584	2	relative	relative	ADJ
ejpam-3455	584	3	velocity	velocity	NOUN
ejpam-3455	584	4	field	field	NOUN
ejpam-3455	584	5	between	between	ADP
ejpam-3455	584	6	fluid	fluid	NOUN
ejpam-3455	584	7	and	and	CCONJ
ejpam-3455	584	8	the	the	DET
ejpam-3455	584	9	plate	plate	NOUN
ejpam-3455	584	10	is	be	AUX
ejpam-3455	584	11	considered	consider	VERB
ejpam-3455	584	12	to	to	PART
ejpam-3455	584	13	be	be	AUX
ejpam-3455	584	14	proportional	proportional	ADJ
ejpam-3455	584	15	to	to	ADP
ejpam-3455	584	16	velocity	velocity	NOUN
ejpam-3455	584	17	gradients	gradient	NOUN
ejpam-3455	584	18	at	at	ADP
ejpam-3455	584	19	the	the	DET
ejpam-3455	584	20	plate	plate	NOUN
ejpam-3455	584	21	.	.	PUNCT
ejpam-3455	585	1	the	the	DET
ejpam-3455	585	2	results	result	NOUN
ejpam-3455	585	3	are	be	AUX
ejpam-3455	585	4	acquired	acquire	VERB
ejpam-3455	585	5	by	by	ADP
ejpam-3455	585	6	laplace	laplace	NOUN
ejpam-3455	585	7	transform	transform	NOUN
ejpam-3455	585	8	and	and	CCONJ
ejpam-3455	585	9	presented	present	VERB
ejpam-3455	585	10	in	in	ADP
ejpam-3455	585	11	the	the	DET
ejpam-3455	585	12	form	form	NOUN
ejpam-3455	585	13	of	of	ADP
ejpam-3455	585	14	generalized	generalized	ADJ
ejpam-3455	585	15	m	m	NOUN
ejpam-3455	585	16	-	-	NOUN
ejpam-3455	585	17	function	function	NOUN
ejpam-3455	585	18	satisfying	satisfy	VERB
ejpam-3455	585	19	the	the	DET
ejpam-3455	585	20	all	all	DET
ejpam-3455	585	21	applied	applied	ADJ
ejpam-3455	585	22	conditions	condition	NOUN
ejpam-3455	585	23	.	.	PUNCT
ejpam-3455	586	1	in	in	ADP
ejpam-3455	586	2	order	order	NOUN
ejpam-3455	586	3	to	to	PART
ejpam-3455	586	4	have	have	AUX
ejpam-3455	586	5	a	a	DET
ejpam-3455	586	6	brief	brief	ADJ
ejpam-3455	586	7	investigation	investigation	NOUN
ejpam-3455	586	8	of	of	ADP
ejpam-3455	586	9	different	different	ADJ
ejpam-3455	586	10	parameters	parameter	NOUN
ejpam-3455	586	11	over	over	ADP
ejpam-3455	586	12	the	the	DET
ejpam-3455	586	13	flow	flow	NOUN
ejpam-3455	586	14	field	field	NOUN
ejpam-3455	586	15	,	,	PUNCT
ejpam-3455	586	16	we	we	PRON
ejpam-3455	586	17	discuss	discuss	VERB
ejpam-3455	586	18	some	some	DET
ejpam-3455	586	19	special	special	ADJ
ejpam-3455	586	20	cases	case	NOUN
ejpam-3455	586	21	of	of	ADP
ejpam-3455	586	22	the	the	DET
ejpam-3455	586	23	general	general	ADJ
ejpam-3455	586	24	solution	solution	NOUN
ejpam-3455	586	25	by	by	ADP
ejpam-3455	586	26	particularizing	particularize	VERB
ejpam-3455	586	27	m	m	PROPN
ejpam-3455	586	28	,	,	PUNCT
ejpam-3455	586	29	ψ	ψ	NOUN
ejpam-3455	586	30	,	,	PUNCT
ejpam-3455	586	31	θ1	θ1	NOUN
ejpam-3455	586	32	,	,	PUNCT
ejpam-3455	586	33	θ2	θ2	ADV
ejpam-3455	586	34	to	to	PART
ejpam-3455	586	35	be	be	AUX
ejpam-3455	586	36	0	0	NUM
ejpam-3455	586	37	and	and	CCONJ
ejpam-3455	586	38	α	α	PRON
ejpam-3455	586	39	to	to	PART
ejpam-3455	586	40	be	be	AUX
ejpam-3455	586	41	1	1	NUM
ejpam-3455	586	42	,	,	PUNCT
ejpam-3455	586	43	it	it	PRON
ejpam-3455	586	44	reduce	reduce	VERB
ejpam-3455	586	45	solutions	solution	NOUN
ejpam-3455	586	46	corresponding	correspond	VERB
ejpam-3455	586	47	to	to	ADP
ejpam-3455	586	48	the	the	DET
ejpam-3455	586	49	flow	flow	NOUN
ejpam-3455	586	50	of	of	ADP
ejpam-3455	586	51	ordinary	ordinary	ADJ
ejpam-3455	586	52	maxwell	maxwell	NOUN
ejpam-3455	586	53	in	in	ADP
ejpam-3455	586	54	the	the	DET
ejpam-3455	586	55	presence	presence	NOUN
ejpam-3455	586	56	and	and	CCONJ
ejpam-3455	586	57	absence	absence	NOUN
ejpam-3455	586	58	of	of	ADP
ejpam-3455	586	59	second	second	ADJ
ejpam-3455	586	60	slip	slip	NOUN
ejpam-3455	586	61	,	,	PUNCT
ejpam-3455	586	62	first	first	ADJ
ejpam-3455	586	63	slip	slip	NOUN
ejpam-3455	586	64	,	,	PUNCT
ejpam-3455	586	65	magnetic	magnetic	ADJ
ejpam-3455	586	66	and	and	CCONJ
ejpam-3455	586	67	porous	porous	ADJ
ejpam-3455	586	68	affects	affect	NOUN
ejpam-3455	586	69	.	.	PUNCT
ejpam-3455	587	1	solutions	solution	NOUN
ejpam-3455	587	2	for	for	ADP
ejpam-3455	587	3	newtonian	newtonian	ADJ
ejpam-3455	587	4	fluid	fluid	NOUN
ejpam-3455	587	5	with	with	ADP
ejpam-3455	587	6	twice	twice	ADJ
ejpam-3455	587	7	order	order	NOUN
ejpam-3455	587	8	slip	slip	NOUN
ejpam-3455	587	9	are	be	AUX
ejpam-3455	587	10	easily	easily	ADV
ejpam-3455	587	11	obtained	obtain	VERB
ejpam-3455	587	12	by	by	ADP
ejpam-3455	587	13	vanishing	vanish	VERB
ejpam-3455	587	14	the	the	DET
ejpam-3455	587	15	maxwell	maxwell	PROPN
ejpam-3455	587	16	parameter	parameter	PROPN
ejpam-3455	587	17	λ	λ	PROPN
ejpam-3455	587	18	.	.	PUNCT
ejpam-3455	587	19	for	for	ADP
ejpam-3455	587	20	better	well	ADJ
ejpam-3455	587	21	understanding	understanding	NOUN
ejpam-3455	587	22	of	of	ADP
ejpam-3455	587	23	the	the	DET
ejpam-3455	587	24	physical	physical	ADJ
ejpam-3455	587	25	attributes	attribute	NOUN
ejpam-3455	587	26	of	of	ADP
ejpam-3455	587	27	solutions	solution	NOUN
ejpam-3455	587	28	acquired	acquire	VERB
ejpam-3455	587	29	in	in	ADP
ejpam-3455	587	30	sections	section	NOUN
ejpam-3455	587	31	3	3	NUM
ejpam-3455	587	32	and	and	CCONJ
ejpam-3455	587	33	4	4	NUM
ejpam-3455	587	34	of	of	ADP
ejpam-3455	587	35	the	the	DET
ejpam-3455	587	36	paper	paper	NOUN
ejpam-3455	587	37	,	,	PUNCT
ejpam-3455	587	38	we	we	PRON
ejpam-3455	587	39	represent	represent	VERB
ejpam-3455	587	40	some	some	DET
ejpam-3455	587	41	plots	plot	NOUN
ejpam-3455	587	42	of	of	ADP
ejpam-3455	587	43	velocity	velocity	NOUN
ejpam-3455	587	44	field	field	NOUN
ejpam-3455	587	45	and	and	CCONJ
ejpam-3455	587	46	concerned	concern	VERB
ejpam-3455	587	47	shear	shear	NOUN
ejpam-3455	587	48	stress	stress	NOUN
ejpam-3455	587	49	in	in	ADP
ejpam-3455	587	50	figs	fig	NOUN
ejpam-3455	587	51	.	.	PUNCT
ejpam-3455	588	1	2	2	NUM
ejpam-3455	588	2	-	-	SYM
ejpam-3455	588	3	15	15	NUM
ejpam-3455	588	4	for	for	ADP
ejpam-3455	588	5	which	which	PRON
ejpam-3455	588	6	it	it	PRON
ejpam-3455	588	7	can	can	AUX
ejpam-3455	588	8	be	be	AUX
ejpam-3455	588	9	noted	note	VERB
ejpam-3455	588	10	that	that	SCONJ
ejpam-3455	588	11	motion	motion	NOUN
ejpam-3455	588	12	of	of	ADP
ejpam-3455	588	13	fluid	fluid	ADJ
ejpam-3455	588	14	effect	effect	NOUN
ejpam-3455	588	15	is	be	AUX
ejpam-3455	588	16	oscillating	oscillate	VERB
ejpam-3455	588	17	for	for	ADP
ejpam-3455	588	18	diverse	diverse	ADJ
ejpam-3455	588	19	values	value	NOUN
ejpam-3455	588	20	of	of	ADP
ejpam-3455	588	21	time	time	NOUN
ejpam-3455	588	22	.	.	PUNCT
ejpam-3455	589	1	figure	figure	VERB
ejpam-3455	589	2	2	2	NUM
ejpam-3455	589	3	:	:	PUNCT
ejpam-3455	589	4	profiles	profile	NOUN
ejpam-3455	589	5	for	for	ADP
ejpam-3455	589	6	fractionalized	fractionalize	VERB
ejpam-3455	589	7	maxwell	maxwell	PROPN
ejpam-3455	589	8	fluid	fluid	NOUN
ejpam-3455	589	9	given	give	VERB
ejpam-3455	589	10	by	by	ADP
ejpam-3455	589	11	eqs	eqs	PROPN
ejpam-3455	589	12	.	.	PUNCT
ejpam-3455	590	1	(	(	PUNCT
ejpam-3455	590	2	17	17	NUM
ejpam-3455	590	3	)	)	PUNCT
ejpam-3455	590	4	and	and	CCONJ
ejpam-3455	590	5	(	(	PUNCT
ejpam-3455	590	6	24	24	NUM
ejpam-3455	590	7	)	)	PUNCT
ejpam-3455	590	8	,	,	PUNCT
ejpam-3455	590	9	for	for	ADP
ejpam-3455	590	10	u	u	NOUN
ejpam-3455	590	11	=	=	SYM
ejpam-3455	590	12	2	2	NUM
ejpam-3455	590	13	,	,	PUNCT
ejpam-3455	590	14	ν	ν	X
ejpam-3455	590	15	=	=	NOUN
ejpam-3455	590	16	2.108	2.108	NUM
ejpam-3455	590	17	,	,	PUNCT
ejpam-3455	590	18	µ	µ	X
ejpam-3455	590	19	=	=	SYM
ejpam-3455	590	20	33	33	NUM
ejpam-3455	590	21	,	,	PUNCT
ejpam-3455	590	22	λ	λ	X
ejpam-3455	590	23	=	=	SYM
ejpam-3455	590	24	2	2	NUM
ejpam-3455	590	25	,	,	PUNCT
ejpam-3455	590	26	m	m	VERB
ejpam-3455	590	27	=	=	NOUN
ejpam-3455	590	28	0.5	0.5	NUM
ejpam-3455	590	29	,	,	PUNCT
ejpam-3455	590	30	ψ	ψ	X
ejpam-3455	590	31	=	=	SYM
ejpam-3455	590	32	2	2	NUM
ejpam-3455	590	33	,	,	PUNCT
ejpam-3455	590	34	α	α	NOUN
ejpam-3455	590	35	=	=	SYM
ejpam-3455	590	36	0.5	0.5	NUM
ejpam-3455	590	37	,	,	PUNCT
ejpam-3455	590	38	ω	ω	NOUN
ejpam-3455	590	39	=	=	SYM
ejpam-3455	590	40	1	1	NUM
ejpam-3455	590	41	,	,	PUNCT
ejpam-3455	590	42	θ1	θ1	NOUN
ejpam-3455	590	43	=	=	SYM
ejpam-3455	590	44	0.2	0.2	NUM
ejpam-3455	590	45	,	,	PUNCT
ejpam-3455	590	46	θ2	θ2	ADV
ejpam-3455	590	47	=	=	PUNCT
ejpam-3455	590	48	0.3	0.3	NUM
ejpam-3455	590	49	and	and	CCONJ
ejpam-3455	590	50	different	different	ADJ
ejpam-3455	590	51	values	value	NOUN
ejpam-3455	590	52	of	of	ADP
ejpam-3455	590	53	t.	t.	PROPN
ejpam-3455	590	54	fig	fig	NOUN
ejpam-3455	590	55	.	.	PUNCT
ejpam-3455	591	1	2	2	NUM
ejpam-3455	591	2	indicates	indicate	VERB
ejpam-3455	591	3	that	that	SCONJ
ejpam-3455	591	4	velocity	velocity	NOUN
ejpam-3455	591	5	and	and	CCONJ
ejpam-3455	591	6	the	the	DET
ejpam-3455	591	7	shear	shear	NOUN
ejpam-3455	591	8	stress	stress	NOUN
ejpam-3455	591	9	are	be	AUX
ejpam-3455	591	10	numerically	numerically	ADV
ejpam-3455	591	11	increasing	increase	VERB
ejpam-3455	591	12	functions	function	NOUN
ejpam-3455	591	13	of	of	ADP
ejpam-3455	591	14	time	time	NOUN
ejpam-3455	591	15	.	.	PUNCT
ejpam-3455	592	1	velocity	velocity	NOUN
ejpam-3455	592	2	of	of	ADP
ejpam-3455	592	3	fluid	fluid	NOUN
ejpam-3455	592	4	near	near	ADP
ejpam-3455	592	5	the	the	DET
ejpam-3455	592	6	plate	plate	NOUN
ejpam-3455	592	7	is	be	AUX
ejpam-3455	592	8	high	high	ADJ
ejpam-3455	592	9	while	while	SCONJ
ejpam-3455	592	10	it	it	PRON
ejpam-3455	592	11	tends	tend	VERB
ejpam-3455	592	12	to	to	ADP
ejpam-3455	592	13	zero	zero	NUM
ejpam-3455	592	14	for	for	ADP
ejpam-3455	592	15	the	the	DET
ejpam-3455	592	16	fluid	fluid	ADJ
ejpam-3455	592	17	particles	particle	NOUN
ejpam-3455	592	18	much	much	ADV
ejpam-3455	592	19	above	above	ADP
ejpam-3455	592	20	the	the	DET
ejpam-3455	592	21	plate	plate	NOUN
ejpam-3455	592	22	as	as	SCONJ
ejpam-3455	592	23	mentioned	mention	VERB
ejpam-3455	592	24	in	in	ADP
ejpam-3455	592	25	the	the	DET
ejpam-3455	592	26	natural	natural	ADJ
ejpam-3455	592	27	condition	condition	NOUN
ejpam-3455	592	28	(	(	PUNCT
ejpam-3455	592	29	10	10	NUM
ejpam-3455	592	30	)	)	PUNCT
ejpam-3455	592	31	.	.	PUNCT
ejpam-3455	593	1	m.	m.	PROPN
ejpam-3455	593	2	jamil	jamil	PROPN
ejpam-3455	593	3	,	,	PUNCT
ejpam-3455	593	4	i.	i.	PROPN
ejpam-3455	593	5	ahmed	ahmed	PROPN
ejpam-3455	593	6	/	/	PUNCT
ejpam-3455	593	7	eur	eur	PROPN
ejpam-3455	593	8	.	.	PUNCT
ejpam-3455	594	1	j.	j.	PROPN
ejpam-3455	594	2	pure	pure	PROPN
ejpam-3455	594	3	appl	appl	PROPN
ejpam-3455	594	4	.	.	PROPN
ejpam-3455	594	5	math	math	PROPN
ejpam-3455	594	6	,	,	PUNCT
ejpam-3455	594	7	12	12	NUM
ejpam-3455	594	8	(	(	PUNCT
ejpam-3455	594	9	3	3	NUM
ejpam-3455	594	10	)	)	PUNCT
ejpam-3455	594	11	(	(	PUNCT
ejpam-3455	594	12	2019	2019	NUM
ejpam-3455	594	13	)	)	PUNCT
ejpam-3455	594	14	,	,	PUNCT
ejpam-3455	594	15	1018	1018	NUM
ejpam-3455	594	16	-	-	SYM
ejpam-3455	594	17	1051	1051	NUM
ejpam-3455	594	18	1042	1042	NUM
ejpam-3455	594	19	in	in	ADP
ejpam-3455	594	20	fig	fig	NOUN
ejpam-3455	594	21	.	.	PUNCT
ejpam-3455	595	1	3	3	NUM
ejpam-3455	595	2	oscillatory	oscillatory	ADJ
ejpam-3455	595	3	behavior	behavior	NOUN
ejpam-3455	595	4	can	can	AUX
ejpam-3455	595	5	be	be	AUX
ejpam-3455	595	6	observed	observe	VERB
ejpam-3455	595	7	with	with	ADP
ejpam-3455	595	8	respect	respect	NOUN
ejpam-3455	595	9	to	to	ADP
ejpam-3455	595	10	time	time	NOUN
ejpam-3455	595	11	while	while	SCONJ
ejpam-3455	595	12	by	by	ADP
ejpam-3455	595	13	moving	move	VERB
ejpam-3455	595	14	higher	higher	ADV
ejpam-3455	595	15	above	above	ADP
ejpam-3455	595	16	the	the	DET
ejpam-3455	595	17	plate	plate	NOUN
ejpam-3455	595	18	,	,	PUNCT
ejpam-3455	595	19	both	both	CCONJ
ejpam-3455	595	20	the	the	DET
ejpam-3455	595	21	flow	flow	NOUN
ejpam-3455	595	22	characteristics	characteristic	NOUN
ejpam-3455	595	23	decrease	decrease	NOUN
ejpam-3455	595	24	.	.	PUNCT
ejpam-3455	596	1	figure	figure	VERB
ejpam-3455	596	2	3	3	NUM
ejpam-3455	596	3	:	:	PUNCT
ejpam-3455	596	4	profiles	profile	NOUN
ejpam-3455	596	5	for	for	ADP
ejpam-3455	596	6	fractionalized	fractionalize	VERB
ejpam-3455	596	7	maxwell	maxwell	PROPN
ejpam-3455	596	8	fluid	fluid	NOUN
ejpam-3455	596	9	given	give	VERB
ejpam-3455	596	10	by	by	ADP
ejpam-3455	596	11	eqs	eqs	PROPN
ejpam-3455	596	12	.	.	PUNCT
ejpam-3455	597	1	(	(	PUNCT
ejpam-3455	597	2	17	17	NUM
ejpam-3455	597	3	)	)	PUNCT
ejpam-3455	597	4	and	and	CCONJ
ejpam-3455	597	5	(	(	PUNCT
ejpam-3455	597	6	24	24	NUM
ejpam-3455	597	7	)	)	PUNCT
ejpam-3455	597	8	,	,	PUNCT
ejpam-3455	597	9	for	for	ADP
ejpam-3455	597	10	u	u	NOUN
ejpam-3455	597	11	=	=	SYM
ejpam-3455	597	12	2	2	NUM
ejpam-3455	597	13	,	,	PUNCT
ejpam-3455	597	14	ν	ν	X
ejpam-3455	597	15	=	=	NOUN
ejpam-3455	597	16	2.108	2.108	NUM
ejpam-3455	597	17	,	,	PUNCT
ejpam-3455	597	18	µ	µ	X
ejpam-3455	597	19	=	=	SYM
ejpam-3455	597	20	33	33	NUM
ejpam-3455	597	21	,	,	PUNCT
ejpam-3455	597	22	λ	λ	X
ejpam-3455	597	23	=	=	SYM
ejpam-3455	597	24	2	2	NUM
ejpam-3455	597	25	,	,	PUNCT
ejpam-3455	597	26	m	m	VERB
ejpam-3455	597	27	=	=	NOUN
ejpam-3455	597	28	0.5	0.5	NUM
ejpam-3455	597	29	,	,	PUNCT
ejpam-3455	597	30	ψ	ψ	X
ejpam-3455	597	31	=	=	SYM
ejpam-3455	597	32	2	2	NUM
ejpam-3455	597	33	,	,	PUNCT
ejpam-3455	597	34	α	α	NOUN
ejpam-3455	597	35	=	=	SYM
ejpam-3455	597	36	0.5	0.5	NUM
ejpam-3455	597	37	,	,	PUNCT
ejpam-3455	597	38	ω	ω	NOUN
ejpam-3455	597	39	=	=	SYM
ejpam-3455	597	40	1	1	NUM
ejpam-3455	597	41	,	,	PUNCT
ejpam-3455	597	42	θ1	θ1	NOUN
ejpam-3455	597	43	=	=	SYM
ejpam-3455	597	44	0.2	0.2	NUM
ejpam-3455	597	45	,	,	PUNCT
ejpam-3455	597	46	θ2	θ2	ADV
ejpam-3455	597	47	=	=	PUNCT
ejpam-3455	597	48	0.3	0.3	NUM
ejpam-3455	597	49	and	and	CCONJ
ejpam-3455	597	50	different	different	ADJ
ejpam-3455	597	51	values	value	NOUN
ejpam-3455	597	52	of	of	ADP
ejpam-3455	597	53	y.	y.	NOUN
ejpam-3455	597	54	figure	figure	NOUN
ejpam-3455	597	55	4	4	NUM
ejpam-3455	597	56	:	:	PUNCT
ejpam-3455	597	57	profiles	profile	NOUN
ejpam-3455	597	58	for	for	ADP
ejpam-3455	597	59	fractionalized	fractionalize	VERB
ejpam-3455	597	60	maxwell	maxwell	PROPN
ejpam-3455	597	61	fluid	fluid	NOUN
ejpam-3455	597	62	given	give	VERB
ejpam-3455	597	63	by	by	ADP
ejpam-3455	597	64	eqs	eqs	PROPN
ejpam-3455	597	65	.	.	PUNCT
ejpam-3455	598	1	(	(	PUNCT
ejpam-3455	598	2	17	17	NUM
ejpam-3455	598	3	)	)	PUNCT
ejpam-3455	598	4	and	and	CCONJ
ejpam-3455	598	5	(	(	PUNCT
ejpam-3455	598	6	24	24	NUM
ejpam-3455	598	7	)	)	PUNCT
ejpam-3455	598	8	,	,	PUNCT
ejpam-3455	598	9	for	for	ADP
ejpam-3455	598	10	u	u	NOUN
ejpam-3455	598	11	=	=	SYM
ejpam-3455	598	12	2	2	NUM
ejpam-3455	598	13	,	,	PUNCT
ejpam-3455	598	14	ν	ν	X
ejpam-3455	598	15	=	=	NOUN
ejpam-3455	598	16	2.108	2.108	NUM
ejpam-3455	598	17	,	,	PUNCT
ejpam-3455	598	18	µ	µ	X
ejpam-3455	598	19	=	=	SYM
ejpam-3455	598	20	33	33	NUM
ejpam-3455	598	21	,	,	PUNCT
ejpam-3455	598	22	m	m	VERB
ejpam-3455	598	23	=	=	NOUN
ejpam-3455	598	24	0.2	0.2	NUM
ejpam-3455	598	25	,	,	PUNCT
ejpam-3455	598	26	ψ	ψ	X
ejpam-3455	598	27	=	=	SYM
ejpam-3455	598	28	3	3	NUM
ejpam-3455	598	29	,	,	PUNCT
ejpam-3455	598	30	α	α	NOUN
ejpam-3455	598	31	=	=	SYM
ejpam-3455	598	32	0.5	0.5	NUM
ejpam-3455	598	33	,	,	PUNCT
ejpam-3455	598	34	ω	ω	NOUN
ejpam-3455	598	35	=	=	SYM
ejpam-3455	598	36	2	2	NUM
ejpam-3455	598	37	,	,	PUNCT
ejpam-3455	598	38	θ1	θ1	NOUN
ejpam-3455	598	39	=	=	SYM
ejpam-3455	598	40	0.2	0.2	NUM
ejpam-3455	598	41	,	,	PUNCT
ejpam-3455	598	42	θ2	θ2	ADV
ejpam-3455	598	43	=	=	PUNCT
ejpam-3455	598	44	0.3	0.3	NUM
ejpam-3455	598	45	,	,	PUNCT
ejpam-3455	598	46	y	y	PROPN
ejpam-3455	598	47	=	=	SYM
ejpam-3455	598	48	3	3	NUM
ejpam-3455	598	49	and	and	CCONJ
ejpam-3455	598	50	different	different	ADJ
ejpam-3455	598	51	values	value	NOUN
ejpam-3455	598	52	of	of	ADP
ejpam-3455	598	53	λ	λ	PROPN
ejpam-3455	598	54	.	.	PROPN
ejpam-3455	598	55	fig	fig	NOUN
ejpam-3455	598	56	.	.	PUNCT
ejpam-3455	599	1	4	4	NUM
ejpam-3455	599	2	shows	show	VERB
ejpam-3455	599	3	agreement	agreement	NOUN
ejpam-3455	599	4	with	with	ADP
ejpam-3455	599	5	relaxation	relaxation	NOUN
ejpam-3455	599	6	time	time	NOUN
ejpam-3455	599	7	,	,	PUNCT
ejpam-3455	599	8	by	by	ADP
ejpam-3455	599	9	increasing	increase	VERB
ejpam-3455	599	10	the	the	DET
ejpam-3455	599	11	λ	λ	PROPN
ejpam-3455	599	12	values	value	NOUN
ejpam-3455	599	13	,	,	PUNCT
ejpam-3455	599	14	response	response	NOUN
ejpam-3455	599	15	of	of	ADP
ejpam-3455	599	16	fluid	fluid	ADJ
ejpam-3455	599	17	motion	motion	NOUN
ejpam-3455	599	18	gets	get	VERB
ejpam-3455	599	19	late	late	ADJ
ejpam-3455	599	20	and	and	CCONJ
ejpam-3455	599	21	slower	slow	ADJ
ejpam-3455	599	22	,	,	PUNCT
ejpam-3455	599	23	the	the	DET
ejpam-3455	599	24	effect	effect	NOUN
ejpam-3455	599	25	of	of	ADP
ejpam-3455	599	26	relaxation	relaxation	NOUN
ejpam-3455	599	27	time	time	NOUN
ejpam-3455	599	28	values	value	NOUN
ejpam-3455	599	29	is	be	AUX
ejpam-3455	599	30	numerically	numerically	ADV
ejpam-3455	599	31	smaller	small	ADJ
ejpam-3455	599	32	to	to	ADP
ejpam-3455	599	33	both	both	DET
ejpam-3455	599	34	velocity	velocity	NOUN
ejpam-3455	599	35	and	and	CCONJ
ejpam-3455	599	36	shear	shear	NOUN
ejpam-3455	599	37	stress	stress	NOUN
ejpam-3455	599	38	.	.	PUNCT
ejpam-3455	600	1	m.	m.	PROPN
ejpam-3455	600	2	jamil	jamil	PROPN
ejpam-3455	600	3	,	,	PUNCT
ejpam-3455	600	4	i.	i.	PROPN
ejpam-3455	600	5	ahmed	ahmed	PROPN
ejpam-3455	600	6	/	/	PUNCT
ejpam-3455	600	7	eur	eur	PROPN
ejpam-3455	600	8	.	.	PUNCT
ejpam-3455	601	1	j.	j.	PROPN
ejpam-3455	601	2	pure	pure	PROPN
ejpam-3455	601	3	appl	appl	PROPN
ejpam-3455	601	4	.	.	PROPN
ejpam-3455	601	5	math	math	PROPN
ejpam-3455	601	6	,	,	PUNCT
ejpam-3455	601	7	12	12	NUM
ejpam-3455	601	8	(	(	PUNCT
ejpam-3455	601	9	3	3	NUM
ejpam-3455	601	10	)	)	PUNCT
ejpam-3455	601	11	(	(	PUNCT
ejpam-3455	601	12	2019	2019	NUM
ejpam-3455	601	13	)	)	PUNCT
ejpam-3455	601	14	,	,	PUNCT
ejpam-3455	601	15	1018	1018	NUM
ejpam-3455	601	16	-	-	SYM
ejpam-3455	601	17	1051	1051	NUM
ejpam-3455	601	18	1043	1043	NUM
ejpam-3455	601	19	as	as	SCONJ
ejpam-3455	601	20	expected	expect	VERB
ejpam-3455	601	21	,	,	PUNCT
ejpam-3455	601	22	figs	fig	NOUN
ejpam-3455	601	23	.	.	PUNCT
ejpam-3455	602	1	5	5	NUM
ejpam-3455	602	2	-	-	SYM
ejpam-3455	602	3	6	6	NUM
ejpam-3455	602	4	clearly	clearly	ADV
ejpam-3455	602	5	reflect	reflect	VERB
ejpam-3455	602	6	the	the	DET
ejpam-3455	602	7	drawbacks	drawback	NOUN
ejpam-3455	602	8	of	of	ADP
ejpam-3455	602	9	enhancing	enhance	VERB
ejpam-3455	602	10	the	the	DET
ejpam-3455	602	11	coefficients	coefficient	NOUN
ejpam-3455	602	12	of	of	ADP
ejpam-3455	602	13	magnetic	magnetic	ADJ
ejpam-3455	602	14	and	and	CCONJ
ejpam-3455	602	15	porous	porous	ADJ
ejpam-3455	602	16	parameters	parameter	NOUN
ejpam-3455	602	17	m	m	VERB
ejpam-3455	602	18	and	and	CCONJ
ejpam-3455	602	19	ψ	ψ	NOUN
ejpam-3455	602	20	,	,	PUNCT
ejpam-3455	602	21	a	a	DET
ejpam-3455	602	22	similar	similar	ADJ
ejpam-3455	602	23	effects	effect	NOUN
ejpam-3455	602	24	can	can	AUX
ejpam-3455	602	25	be	be	AUX
ejpam-3455	602	26	seen	see	VERB
ejpam-3455	602	27	in	in	ADP
ejpam-3455	602	28	depictions	depiction	NOUN
ejpam-3455	602	29	of	of	ADP
ejpam-3455	602	30	velocity	velocity	NOUN
ejpam-3455	602	31	and	and	CCONJ
ejpam-3455	602	32	shear	shear	NOUN
ejpam-3455	602	33	stress	stress	NOUN
ejpam-3455	602	34	profiles	profile	NOUN
ejpam-3455	602	35	.	.	PUNCT
ejpam-3455	603	1	figure	figure	VERB
ejpam-3455	603	2	5	5	NUM
ejpam-3455	603	3	:	:	PUNCT
ejpam-3455	603	4	profiles	profile	NOUN
ejpam-3455	603	5	for	for	ADP
ejpam-3455	603	6	fractionalized	fractionalize	VERB
ejpam-3455	603	7	maxwell	maxwell	PROPN
ejpam-3455	603	8	fluid	fluid	NOUN
ejpam-3455	603	9	given	give	VERB
ejpam-3455	603	10	by	by	ADP
ejpam-3455	603	11	eqs	eqs	PROPN
ejpam-3455	603	12	.	.	PUNCT
ejpam-3455	604	1	(	(	PUNCT
ejpam-3455	604	2	17	17	NUM
ejpam-3455	604	3	)	)	PUNCT
ejpam-3455	604	4	and	and	CCONJ
ejpam-3455	604	5	(	(	PUNCT
ejpam-3455	604	6	24	24	NUM
ejpam-3455	604	7	)	)	PUNCT
ejpam-3455	604	8	,	,	PUNCT
ejpam-3455	604	9	for	for	ADP
ejpam-3455	604	10	u	u	NOUN
ejpam-3455	604	11	=	=	SYM
ejpam-3455	604	12	2	2	NUM
ejpam-3455	604	13	,	,	PUNCT
ejpam-3455	604	14	ν	ν	X
ejpam-3455	604	15	=	=	NOUN
ejpam-3455	604	16	2.108	2.108	NUM
ejpam-3455	604	17	,	,	PUNCT
ejpam-3455	604	18	µ	µ	X
ejpam-3455	604	19	=	=	SYM
ejpam-3455	604	20	33	33	NUM
ejpam-3455	604	21	,	,	PUNCT
ejpam-3455	604	22	λ	λ	X
ejpam-3455	604	23	=	=	SYM
ejpam-3455	604	24	2	2	NUM
ejpam-3455	604	25	,	,	PUNCT
ejpam-3455	604	26	ψ	ψ	X
ejpam-3455	604	27	=	=	SYM
ejpam-3455	604	28	3	3	NUM
ejpam-3455	604	29	,	,	PUNCT
ejpam-3455	604	30	α	α	NOUN
ejpam-3455	604	31	=	=	SYM
ejpam-3455	604	32	0.5	0.5	NUM
ejpam-3455	604	33	,	,	PUNCT
ejpam-3455	604	34	ω	ω	NOUN
ejpam-3455	604	35	=	=	SYM
ejpam-3455	604	36	2	2	NUM
ejpam-3455	604	37	,	,	PUNCT
ejpam-3455	604	38	θ1	θ1	NOUN
ejpam-3455	604	39	=	=	SYM
ejpam-3455	604	40	0.2	0.2	NUM
ejpam-3455	604	41	,	,	PUNCT
ejpam-3455	604	42	θ2	θ2	ADV
ejpam-3455	604	43	=	=	PUNCT
ejpam-3455	604	44	0.3	0.3	NUM
ejpam-3455	604	45	,	,	PUNCT
ejpam-3455	604	46	y	y	PROPN
ejpam-3455	604	47	=	=	PROPN
ejpam-3455	604	48	1.5	1.5	NUM
ejpam-3455	604	49	and	and	CCONJ
ejpam-3455	604	50	different	different	ADJ
ejpam-3455	604	51	values	value	NOUN
ejpam-3455	604	52	of	of	ADP
ejpam-3455	604	53	m	m	PROPN
ejpam-3455	604	54	.	.	PUNCT
ejpam-3455	605	1	figure	figure	VERB
ejpam-3455	605	2	6	6	NUM
ejpam-3455	605	3	:	:	PUNCT
ejpam-3455	605	4	profiles	profile	NOUN
ejpam-3455	605	5	for	for	ADP
ejpam-3455	605	6	fractionalized	fractionalize	VERB
ejpam-3455	605	7	maxwell	maxwell	PROPN
ejpam-3455	605	8	fluid	fluid	NOUN
ejpam-3455	605	9	given	give	VERB
ejpam-3455	605	10	by	by	ADP
ejpam-3455	605	11	eqs	eqs	PROPN
ejpam-3455	605	12	.	.	PUNCT
ejpam-3455	606	1	(	(	PUNCT
ejpam-3455	606	2	17	17	NUM
ejpam-3455	606	3	)	)	PUNCT
ejpam-3455	606	4	and	and	CCONJ
ejpam-3455	606	5	(	(	PUNCT
ejpam-3455	606	6	24	24	NUM
ejpam-3455	606	7	)	)	PUNCT
ejpam-3455	606	8	,	,	PUNCT
ejpam-3455	606	9	for	for	ADP
ejpam-3455	606	10	u	u	NOUN
ejpam-3455	606	11	=	=	SYM
ejpam-3455	606	12	2	2	NUM
ejpam-3455	606	13	,	,	PUNCT
ejpam-3455	606	14	ν	ν	X
ejpam-3455	606	15	=	=	NOUN
ejpam-3455	606	16	2.108	2.108	NUM
ejpam-3455	606	17	,	,	PUNCT
ejpam-3455	606	18	µ	µ	X
ejpam-3455	606	19	=	=	SYM
ejpam-3455	606	20	33	33	NUM
ejpam-3455	606	21	,	,	PUNCT
ejpam-3455	606	22	λ	λ	X
ejpam-3455	606	23	=	=	NOUN
ejpam-3455	606	24	0.5	0.5	NUM
ejpam-3455	606	25	,	,	PUNCT
ejpam-3455	606	26	m	m	NOUN
ejpam-3455	606	27	=	=	NOUN
ejpam-3455	606	28	0.5	0.5	NUM
ejpam-3455	606	29	,	,	PUNCT
ejpam-3455	606	30	α	α	NOUN
ejpam-3455	606	31	=	=	SYM
ejpam-3455	606	32	0.5	0.5	NUM
ejpam-3455	606	33	,	,	PUNCT
ejpam-3455	606	34	ω	ω	NOUN
ejpam-3455	606	35	=	=	SYM
ejpam-3455	606	36	2	2	NUM
ejpam-3455	606	37	,	,	PUNCT
ejpam-3455	606	38	θ1	θ1	NOUN
ejpam-3455	606	39	=	=	SYM
ejpam-3455	606	40	0.2	0.2	NUM
ejpam-3455	606	41	,	,	PUNCT
ejpam-3455	606	42	θ2	θ2	ADV
ejpam-3455	606	43	=	=	PUNCT
ejpam-3455	606	44	0.3	0.3	NUM
ejpam-3455	606	45	,	,	PUNCT
ejpam-3455	606	46	y	y	PROPN
ejpam-3455	606	47	=	=	SYM
ejpam-3455	606	48	2.5	2.5	NUM
ejpam-3455	606	49	and	and	CCONJ
ejpam-3455	606	50	different	different	ADJ
ejpam-3455	606	51	values	value	NOUN
ejpam-3455	606	52	of	of	ADP
ejpam-3455	606	53	ψ	ψ	NOUN
ejpam-3455	606	54	.	.	PUNCT
ejpam-3455	607	1	higher	high	ADJ
ejpam-3455	607	2	values	value	NOUN
ejpam-3455	607	3	of	of	ADP
ejpam-3455	607	4	magnetic	magnetic	ADJ
ejpam-3455	607	5	and	and	CCONJ
ejpam-3455	607	6	porous	porous	ADJ
ejpam-3455	607	7	parameter	parameter	NOUN
ejpam-3455	607	8	decrease	decrease	VERB
ejpam-3455	607	9	the	the	DET
ejpam-3455	607	10	velocity	velocity	NOUN
ejpam-3455	607	11	of	of	ADP
ejpam-3455	607	12	fluid	fluid	NOUN
ejpam-3455	607	13	as	as	ADV
ejpam-3455	607	14	well	well	ADV
ejpam-3455	607	15	as	as	ADP
ejpam-3455	607	16	shear	shear	NOUN
ejpam-3455	607	17	stress	stress	NOUN
ejpam-3455	607	18	profiles	profile	NOUN
ejpam-3455	607	19	,	,	PUNCT
ejpam-3455	607	20	whereas	whereas	SCONJ
ejpam-3455	607	21	the	the	DET
ejpam-3455	607	22	smaller	small	ADJ
ejpam-3455	607	23	values	value	NOUN
ejpam-3455	607	24	of	of	ADP
ejpam-3455	607	25	these	these	DET
ejpam-3455	607	26	parameter	parameter	NOUN
ejpam-3455	607	27	increase	increase	VERB
ejpam-3455	607	28	the	the	DET
ejpam-3455	607	29	amplitude	amplitude	NOUN
ejpam-3455	607	30	velocity	velocity	NOUN
ejpam-3455	607	31	and	and	CCONJ
ejpam-3455	607	32	shear	shear	NOUN
ejpam-3455	607	33	stress	stress	NOUN
ejpam-3455	607	34	profiles	profile	NOUN
ejpam-3455	607	35	.	.	PUNCT
ejpam-3455	608	1	fig	fig	NOUN
ejpam-3455	608	2	.	.	PUNCT
ejpam-3455	609	1	7	7	NUM
ejpam-3455	609	2	shows	show	VERB
ejpam-3455	609	3	that	that	SCONJ
ejpam-3455	609	4	increasing	increase	VERB
ejpam-3455	609	5	the	the	DET
ejpam-3455	609	6	kinematic	kinematic	ADJ
ejpam-3455	609	7	viscosity	viscosity	NOUN
ejpam-3455	609	8	ν	ν	NOUN
ejpam-3455	609	9	of	of	ADP
ejpam-3455	609	10	the	the	DET
ejpam-3455	609	11	fluid	fluid	NOUN
ejpam-3455	609	12	,	,	PUNCT
ejpam-3455	609	13	both	both	CCONJ
ejpam-3455	609	14	the	the	DET
ejpam-3455	609	15	flow	flow	NOUN
ejpam-3455	609	16	m.	m.	NOUN
ejpam-3455	609	17	jamil	jamil	PROPN
ejpam-3455	609	18	,	,	PUNCT
ejpam-3455	609	19	i.	i.	PROPN
ejpam-3455	609	20	ahmed	ahmed	PROPN
ejpam-3455	609	21	/	/	PUNCT
ejpam-3455	609	22	eur	eur	PROPN
ejpam-3455	609	23	.	.	PUNCT
ejpam-3455	610	1	j.	j.	PROPN
ejpam-3455	610	2	pure	pure	PROPN
ejpam-3455	610	3	appl	appl	PROPN
ejpam-3455	610	4	.	.	PROPN
ejpam-3455	610	5	math	math	PROPN
ejpam-3455	610	6	,	,	PUNCT
ejpam-3455	610	7	12	12	NUM
ejpam-3455	610	8	(	(	PUNCT
ejpam-3455	610	9	3	3	NUM
ejpam-3455	610	10	)	)	PUNCT
ejpam-3455	610	11	(	(	PUNCT
ejpam-3455	610	12	2019	2019	NUM
ejpam-3455	610	13	)	)	PUNCT
ejpam-3455	610	14	,	,	PUNCT
ejpam-3455	610	15	1018	1018	NUM
ejpam-3455	610	16	-	-	SYM
ejpam-3455	610	17	1051	1051	NUM
ejpam-3455	610	18	1044	1044	NUM
ejpam-3455	610	19	characteristics	characteristic	NOUN
ejpam-3455	610	20	goes	go	VERB
ejpam-3455	610	21	up	up	ADP
ejpam-3455	610	22	.	.	PUNCT
ejpam-3455	611	1	it	it	PRON
ejpam-3455	611	2	indicates	indicate	VERB
ejpam-3455	611	3	that	that	SCONJ
ejpam-3455	611	4	kinematic	kinematic	ADJ
ejpam-3455	611	5	viscosity	viscosity	NOUN
ejpam-3455	611	6	of	of	ADP
ejpam-3455	611	7	the	the	DET
ejpam-3455	611	8	fluid	fluid	NOUN
ejpam-3455	611	9	has	have	VERB
ejpam-3455	611	10	important	important	ADJ
ejpam-3455	611	11	role	role	NOUN
ejpam-3455	611	12	in	in	ADP
ejpam-3455	611	13	controlling	control	VERB
ejpam-3455	611	14	the	the	DET
ejpam-3455	611	15	flow	flow	NOUN
ejpam-3455	611	16	characteristics	characteristic	NOUN
ejpam-3455	611	17	.	.	PUNCT
ejpam-3455	612	1	figure	figure	VERB
ejpam-3455	612	2	7	7	NUM
ejpam-3455	612	3	:	:	PUNCT
ejpam-3455	612	4	profiles	profile	NOUN
ejpam-3455	612	5	for	for	ADP
ejpam-3455	612	6	fractionalized	fractionalize	VERB
ejpam-3455	612	7	maxwell	maxwell	PROPN
ejpam-3455	612	8	fluid	fluid	NOUN
ejpam-3455	612	9	given	give	VERB
ejpam-3455	612	10	by	by	ADP
ejpam-3455	612	11	eqs	eqs	PROPN
ejpam-3455	612	12	.	.	PUNCT
ejpam-3455	613	1	(	(	PUNCT
ejpam-3455	613	2	17	17	NUM
ejpam-3455	613	3	)	)	PUNCT
ejpam-3455	613	4	and	and	CCONJ
ejpam-3455	613	5	(	(	PUNCT
ejpam-3455	613	6	24	24	NUM
ejpam-3455	613	7	)	)	PUNCT
ejpam-3455	613	8	,	,	PUNCT
ejpam-3455	613	9	for	for	ADP
ejpam-3455	613	10	u	u	NOUN
ejpam-3455	613	11	=	=	SYM
ejpam-3455	613	12	2	2	NUM
ejpam-3455	613	13	,	,	PUNCT
ejpam-3455	613	14	ρ	ρ	PROPN
ejpam-3455	613	15	=	=	SYM
ejpam-3455	613	16	15.655	15.655	NUM
ejpam-3455	613	17	,	,	PUNCT
ejpam-3455	613	18	λ	λ	X
ejpam-3455	613	19	=	=	SYM
ejpam-3455	613	20	2	2	NUM
ejpam-3455	613	21	,	,	PUNCT
ejpam-3455	613	22	m	m	VERB
ejpam-3455	613	23	=	=	NOUN
ejpam-3455	613	24	0.2	0.2	NUM
ejpam-3455	613	25	,	,	PUNCT
ejpam-3455	613	26	ψ	ψ	X
ejpam-3455	613	27	=	=	SYM
ejpam-3455	613	28	3	3	NUM
ejpam-3455	613	29	,	,	PUNCT
ejpam-3455	613	30	α	α	NOUN
ejpam-3455	613	31	=	=	SYM
ejpam-3455	613	32	0.5	0.5	NUM
ejpam-3455	613	33	,	,	PUNCT
ejpam-3455	613	34	ω	ω	NOUN
ejpam-3455	613	35	=	=	SYM
ejpam-3455	613	36	1	1	NUM
ejpam-3455	613	37	,	,	PUNCT
ejpam-3455	613	38	θ1	θ1	NOUN
ejpam-3455	613	39	=	=	SYM
ejpam-3455	613	40	0.2	0.2	NUM
ejpam-3455	613	41	,	,	PUNCT
ejpam-3455	613	42	θ2	θ2	ADV
ejpam-3455	613	43	=	=	PUNCT
ejpam-3455	613	44	0.3	0.3	NUM
ejpam-3455	613	45	,	,	PUNCT
ejpam-3455	613	46	t	t	NOUN
ejpam-3455	613	47	=	=	SYM
ejpam-3455	613	48	3.5	3.5	NUM
ejpam-3455	613	49	and	and	CCONJ
ejpam-3455	613	50	different	different	ADJ
ejpam-3455	613	51	values	value	NOUN
ejpam-3455	613	52	of	of	ADP
ejpam-3455	613	53	ν	ν	PROPN
ejpam-3455	613	54	.	.	PUNCT
ejpam-3455	613	55	figure	figure	NOUN
ejpam-3455	613	56	8	8	NUM
ejpam-3455	614	1	:	:	PUNCT
ejpam-3455	614	2	profiles	profile	NOUN
ejpam-3455	614	3	for	for	ADP
ejpam-3455	614	4	fractionalized	fractionalize	VERB
ejpam-3455	614	5	maxwell	maxwell	PROPN
ejpam-3455	614	6	fluid	fluid	NOUN
ejpam-3455	614	7	given	give	VERB
ejpam-3455	614	8	by	by	ADP
ejpam-3455	614	9	eqs	eqs	PROPN
ejpam-3455	614	10	.	.	PUNCT
ejpam-3455	615	1	(	(	PUNCT
ejpam-3455	615	2	17	17	NUM
ejpam-3455	615	3	)	)	PUNCT
ejpam-3455	615	4	and	and	CCONJ
ejpam-3455	615	5	(	(	PUNCT
ejpam-3455	615	6	24	24	NUM
ejpam-3455	615	7	)	)	PUNCT
ejpam-3455	615	8	,	,	PUNCT
ejpam-3455	615	9	for	for	ADP
ejpam-3455	615	10	u	u	NOUN
ejpam-3455	615	11	=	=	SYM
ejpam-3455	615	12	2	2	NUM
ejpam-3455	615	13	,	,	PUNCT
ejpam-3455	615	14	ν	ν	X
ejpam-3455	615	15	=	=	NOUN
ejpam-3455	615	16	2.108	2.108	NUM
ejpam-3455	615	17	,	,	PUNCT
ejpam-3455	615	18	µ	µ	X
ejpam-3455	615	19	=	=	SYM
ejpam-3455	615	20	33	33	NUM
ejpam-3455	615	21	,	,	PUNCT
ejpam-3455	615	22	λ	λ	X
ejpam-3455	615	23	=	=	SYM
ejpam-3455	615	24	6	6	NUM
ejpam-3455	615	25	,	,	PUNCT
ejpam-3455	615	26	m	m	VERB
ejpam-3455	615	27	=	=	NOUN
ejpam-3455	615	28	0.2	0.2	NUM
ejpam-3455	615	29	,	,	PUNCT
ejpam-3455	615	30	ψ	ψ	X
ejpam-3455	615	31	=	=	SYM
ejpam-3455	615	32	3	3	NUM
ejpam-3455	615	33	,	,	PUNCT
ejpam-3455	615	34	α	α	NOUN
ejpam-3455	615	35	=	=	SYM
ejpam-3455	615	36	0.5	0.5	NUM
ejpam-3455	615	37	,	,	PUNCT
ejpam-3455	615	38	θ1	θ1	NOUN
ejpam-3455	615	39	=	=	SYM
ejpam-3455	615	40	0.2	0.2	NUM
ejpam-3455	615	41	,	,	PUNCT
ejpam-3455	615	42	θ2	θ2	ADV
ejpam-3455	615	43	=	=	PUNCT
ejpam-3455	615	44	0.3	0.3	NUM
ejpam-3455	615	45	,	,	PUNCT
ejpam-3455	615	46	y	y	PROPN
ejpam-3455	615	47	=	=	SYM
ejpam-3455	615	48	3	3	NUM
ejpam-3455	615	49	and	and	CCONJ
ejpam-3455	615	50	different	different	ADJ
ejpam-3455	615	51	values	value	NOUN
ejpam-3455	615	52	of	of	ADP
ejpam-3455	615	53	ω	ω	PROPN
ejpam-3455	615	54	.	.	PUNCT
ejpam-3455	615	55	fig	fig	NOUN
ejpam-3455	615	56	.	.	PUNCT
ejpam-3455	615	57	8	8	NUM
ejpam-3455	615	58	indicates	indicate	VERB
ejpam-3455	615	59	that	that	SCONJ
ejpam-3455	615	60	by	by	ADP
ejpam-3455	615	61	raising	raise	VERB
ejpam-3455	615	62	the	the	DET
ejpam-3455	615	63	oscillating	oscillate	VERB
ejpam-3455	615	64	amplitude	amplitude	NOUN
ejpam-3455	615	65	of	of	ADP
ejpam-3455	615	66	the	the	DET
ejpam-3455	615	67	bottom	bottom	ADJ
ejpam-3455	615	68	plate	plate	NOUN
ejpam-3455	615	69	,	,	PUNCT
ejpam-3455	615	70	flow	flow	VERB
ejpam-3455	615	71	speed	speed	NOUN
ejpam-3455	615	72	and	and	CCONJ
ejpam-3455	615	73	the	the	DET
ejpam-3455	615	74	tension	tension	NOUN
ejpam-3455	615	75	between	between	ADP
ejpam-3455	615	76	fluid	fluid	NOUN
ejpam-3455	615	77	and	and	CCONJ
ejpam-3455	615	78	the	the	DET
ejpam-3455	615	79	plate	plate	NOUN
ejpam-3455	615	80	can	can	AUX
ejpam-3455	615	81	be	be	AUX
ejpam-3455	615	82	decreased	decrease	VERB
ejpam-3455	615	83	.	.	PUNCT
ejpam-3455	616	1	it	it	PRON
ejpam-3455	616	2	can	can	AUX
ejpam-3455	616	3	be	be	AUX
ejpam-3455	616	4	concluded	conclude	VERB
ejpam-3455	616	5	that	that	SCONJ
ejpam-3455	616	6	frequency	frequency	NOUN
ejpam-3455	616	7	of	of	ADP
ejpam-3455	616	8	oscillation	oscillation	NOUN
ejpam-3455	616	9	of	of	ADP
ejpam-3455	616	10	the	the	DET
ejpam-3455	616	11	plate	plate	NOUN
ejpam-3455	616	12	is	be	AUX
ejpam-3455	616	13	directly	directly	ADV
ejpam-3455	616	14	proportional	proportional	ADJ
ejpam-3455	616	15	to	to	ADP
ejpam-3455	616	16	the	the	DET
ejpam-3455	616	17	velocity	velocity	NOUN
ejpam-3455	616	18	field	field	NOUN
ejpam-3455	616	19	and	and	CCONJ
ejpam-3455	616	20	shear	shear	NOUN
ejpam-3455	616	21	stress	stress	NOUN
ejpam-3455	616	22	of	of	ADP
ejpam-3455	616	23	the	the	DET
ejpam-3455	616	24	fluid	fluid	NOUN
ejpam-3455	616	25	.	.	PUNCT
ejpam-3455	617	1	the	the	DET
ejpam-3455	617	2	effects	effect	NOUN
ejpam-3455	617	3	of	of	ADP
ejpam-3455	617	4	fractional	fractional	ADJ
ejpam-3455	617	5	parameter	parameter	NOUN
ejpam-3455	617	6	over	over	ADP
ejpam-3455	617	7	the	the	DET
ejpam-3455	617	8	flow	flow	NOUN
ejpam-3455	617	9	characters	character	NOUN
ejpam-3455	617	10	are	be	AUX
ejpam-3455	617	11	depicted	depict	VERB
ejpam-3455	617	12	in	in	ADP
ejpam-3455	617	13	fig	fig	NOUN
ejpam-3455	617	14	.	.	PUNCT
ejpam-3455	618	1	9	9	NUM
ejpam-3455	618	2	,	,	PUNCT
ejpam-3455	618	3	m.	m.	NOUN
ejpam-3455	618	4	jamil	jamil	PROPN
ejpam-3455	618	5	,	,	PUNCT
ejpam-3455	618	6	i.	i.	PROPN
ejpam-3455	618	7	ahmed	ahmed	PROPN
ejpam-3455	618	8	/	/	PUNCT
ejpam-3455	618	9	eur	eur	PROPN
ejpam-3455	618	10	.	.	PUNCT
ejpam-3455	619	1	j.	j.	PROPN
ejpam-3455	619	2	pure	pure	PROPN
ejpam-3455	619	3	appl	appl	PROPN
ejpam-3455	619	4	.	.	PROPN
ejpam-3455	619	5	math	math	PROPN
ejpam-3455	619	6	,	,	PUNCT
ejpam-3455	619	7	12	12	NUM
ejpam-3455	619	8	(	(	PUNCT
ejpam-3455	619	9	3	3	NUM
ejpam-3455	619	10	)	)	PUNCT
ejpam-3455	619	11	(	(	PUNCT
ejpam-3455	619	12	2019	2019	NUM
ejpam-3455	619	13	)	)	PUNCT
ejpam-3455	619	14	,	,	PUNCT
ejpam-3455	619	15	1018	1018	NUM
ejpam-3455	619	16	-	-	SYM
ejpam-3455	619	17	1051	1051	NUM
ejpam-3455	619	18	1045	1045	NUM
ejpam-3455	619	19	which	which	PRON
ejpam-3455	619	20	favor	favor	VERB
ejpam-3455	619	21	the	the	DET
ejpam-3455	619	22	importance	importance	NOUN
ejpam-3455	619	23	of	of	ADP
ejpam-3455	619	24	fractionalized	fractionalize	VERB
ejpam-3455	619	25	form	form	NOUN
ejpam-3455	619	26	of	of	ADP
ejpam-3455	619	27	governing	govern	VERB
ejpam-3455	619	28	equations	equation	NOUN
ejpam-3455	619	29	of	of	ADP
ejpam-3455	619	30	the	the	DET
ejpam-3455	619	31	fluid	fluid	NOUN
ejpam-3455	619	32	in	in	ADP
ejpam-3455	619	33	such	such	DET
ejpam-3455	619	34	a	a	DET
ejpam-3455	619	35	way	way	NOUN
ejpam-3455	619	36	that	that	PRON
ejpam-3455	619	37	higher	high	ADJ
ejpam-3455	619	38	the	the	DET
ejpam-3455	619	39	α	α	PROPN
ejpam-3455	619	40	values	value	NOUN
ejpam-3455	619	41	,	,	PUNCT
ejpam-3455	619	42	more	more	ADV
ejpam-3455	619	43	rapidly	rapidly	ADV
ejpam-3455	619	44	the	the	DET
ejpam-3455	619	45	velocity	velocity	NOUN
ejpam-3455	619	46	and	and	CCONJ
ejpam-3455	619	47	shear	shear	NOUN
ejpam-3455	619	48	stress	stress	NOUN
ejpam-3455	619	49	gets	get	VERB
ejpam-3455	619	50	high	high	ADJ
ejpam-3455	619	51	magnitude	magnitude	NOUN
ejpam-3455	619	52	.	.	PUNCT
ejpam-3455	620	1	figure	figure	NOUN
ejpam-3455	620	2	9	9	NUM
ejpam-3455	620	3	:	:	PUNCT
ejpam-3455	620	4	profiles	profile	NOUN
ejpam-3455	620	5	for	for	ADP
ejpam-3455	620	6	fractionalized	fractionalize	VERB
ejpam-3455	620	7	maxwell	maxwell	PROPN
ejpam-3455	620	8	fluid	fluid	NOUN
ejpam-3455	620	9	given	give	VERB
ejpam-3455	620	10	by	by	ADP
ejpam-3455	620	11	by	by	ADP
ejpam-3455	620	12	eqs	eqs	PROPN
ejpam-3455	620	13	.	.	PUNCT
ejpam-3455	621	1	(	(	PUNCT
ejpam-3455	621	2	17	17	NUM
ejpam-3455	621	3	)	)	PUNCT
ejpam-3455	621	4	and	and	CCONJ
ejpam-3455	621	5	(	(	PUNCT
ejpam-3455	621	6	24	24	NUM
ejpam-3455	621	7	)	)	PUNCT
ejpam-3455	621	8	,	,	PUNCT
ejpam-3455	621	9	for	for	ADP
ejpam-3455	621	10	u	u	NOUN
ejpam-3455	621	11	=	=	SYM
ejpam-3455	621	12	2	2	NUM
ejpam-3455	621	13	,	,	PUNCT
ejpam-3455	621	14	ν	ν	X
ejpam-3455	621	15	=	=	NOUN
ejpam-3455	621	16	2.108	2.108	NUM
ejpam-3455	621	17	,	,	PUNCT
ejpam-3455	621	18	µ	µ	X
ejpam-3455	621	19	=	=	SYM
ejpam-3455	621	20	33	33	NUM
ejpam-3455	621	21	,	,	PUNCT
ejpam-3455	621	22	λ	λ	X
ejpam-3455	621	23	=	=	SYM
ejpam-3455	621	24	6	6	NUM
ejpam-3455	621	25	,	,	PUNCT
ejpam-3455	621	26	m	m	VERB
ejpam-3455	621	27	=	=	NOUN
ejpam-3455	621	28	0.2	0.2	NUM
ejpam-3455	621	29	,	,	PUNCT
ejpam-3455	621	30	ψ	ψ	X
ejpam-3455	621	31	=	=	SYM
ejpam-3455	621	32	3	3	NUM
ejpam-3455	621	33	,	,	PUNCT
ejpam-3455	621	34	ω	ω	NOUN
ejpam-3455	621	35	=	=	SYM
ejpam-3455	621	36	1	1	NUM
ejpam-3455	621	37	,	,	PUNCT
ejpam-3455	621	38	θ1	θ1	NOUN
ejpam-3455	621	39	=	=	SYM
ejpam-3455	621	40	0.2	0.2	NUM
ejpam-3455	621	41	,	,	PUNCT
ejpam-3455	621	42	θ2	θ2	ADV
ejpam-3455	621	43	=	=	PUNCT
ejpam-3455	621	44	0.3	0.3	NUM
ejpam-3455	621	45	,	,	PUNCT
ejpam-3455	621	46	y	y	PROPN
ejpam-3455	621	47	=	=	SYM
ejpam-3455	621	48	3s	3s	NUM
ejpam-3455	621	49	and	and	CCONJ
ejpam-3455	621	50	different	different	ADJ
ejpam-3455	621	51	values	value	NOUN
ejpam-3455	621	52	of	of	ADP
ejpam-3455	621	53	α	α	PROPN
ejpam-3455	621	54	.	.	PUNCT
ejpam-3455	621	55	figure	figure	NOUN
ejpam-3455	621	56	10	10	NUM
ejpam-3455	621	57	:	:	PUNCT
ejpam-3455	621	58	profiles	profile	NOUN
ejpam-3455	621	59	for	for	ADP
ejpam-3455	621	60	fractionalized	fractionalize	VERB
ejpam-3455	621	61	maxwell	maxwell	PROPN
ejpam-3455	621	62	fluid	fluid	NOUN
ejpam-3455	621	63	given	give	VERB
ejpam-3455	621	64	by	by	ADP
ejpam-3455	621	65	eqs	eqs	PROPN
ejpam-3455	621	66	.	.	PUNCT
ejpam-3455	622	1	(	(	PUNCT
ejpam-3455	622	2	17	17	NUM
ejpam-3455	622	3	)	)	PUNCT
ejpam-3455	622	4	and	and	CCONJ
ejpam-3455	622	5	(	(	PUNCT
ejpam-3455	622	6	24	24	NUM
ejpam-3455	622	7	)	)	PUNCT
ejpam-3455	622	8	,	,	PUNCT
ejpam-3455	622	9	for	for	ADP
ejpam-3455	622	10	u	u	NOUN
ejpam-3455	622	11	=	=	SYM
ejpam-3455	622	12	2	2	NUM
ejpam-3455	622	13	,	,	PUNCT
ejpam-3455	622	14	ν	ν	X
ejpam-3455	622	15	=	=	NOUN
ejpam-3455	622	16	2.108	2.108	NUM
ejpam-3455	622	17	,	,	PUNCT
ejpam-3455	622	18	µ	µ	X
ejpam-3455	622	19	=	=	SYM
ejpam-3455	622	20	33	33	NUM
ejpam-3455	622	21	,	,	PUNCT
ejpam-3455	622	22	λ	λ	X
ejpam-3455	622	23	=	=	SYM
ejpam-3455	622	24	5	5	NUM
ejpam-3455	622	25	,	,	PUNCT
ejpam-3455	622	26	m	m	VERB
ejpam-3455	622	27	=	=	NOUN
ejpam-3455	622	28	0.5	0.5	NUM
ejpam-3455	622	29	,	,	PUNCT
ejpam-3455	622	30	ψ	ψ	X
ejpam-3455	622	31	=	=	SYM
ejpam-3455	622	32	2	2	NUM
ejpam-3455	622	33	,	,	PUNCT
ejpam-3455	622	34	α	α	NOUN
ejpam-3455	622	35	=	=	SYM
ejpam-3455	622	36	0.5	0.5	NUM
ejpam-3455	622	37	,	,	PUNCT
ejpam-3455	622	38	ω	ω	NOUN
ejpam-3455	622	39	=	=	SYM
ejpam-3455	622	40	1	1	NUM
ejpam-3455	622	41	,	,	PUNCT
ejpam-3455	622	42	θ2	θ2	ADV
ejpam-3455	622	43	=	=	PUNCT
ejpam-3455	622	44	0.3	0.3	NUM
ejpam-3455	622	45	,	,	PUNCT
ejpam-3455	622	46	y	y	PROPN
ejpam-3455	622	47	=	=	SYM
ejpam-3455	622	48	3	3	NUM
ejpam-3455	622	49	and	and	CCONJ
ejpam-3455	622	50	different	different	ADJ
ejpam-3455	622	51	values	value	NOUN
ejpam-3455	622	52	of	of	ADP
ejpam-3455	622	53	θ1	θ1	NOUN
ejpam-3455	622	54	.	.	PUNCT
ejpam-3455	623	1	the	the	DET
ejpam-3455	623	2	first	first	ADJ
ejpam-3455	623	3	order	order	NOUN
ejpam-3455	623	4	slip	slip	NOUN
ejpam-3455	623	5	effects	effect	NOUN
ejpam-3455	623	6	over	over	ADP
ejpam-3455	623	7	the	the	DET
ejpam-3455	623	8	general	general	ADJ
ejpam-3455	623	9	solution	solution	NOUN
ejpam-3455	623	10	is	be	AUX
ejpam-3455	623	11	depicted	depict	VERB
ejpam-3455	623	12	in	in	ADP
ejpam-3455	623	13	figs	fig	NOUN
ejpam-3455	623	14	.	.	PUNCT
ejpam-3455	624	1	10	10	NUM
ejpam-3455	624	2	which	which	PRON
ejpam-3455	624	3	indicates	indicate	VERB
ejpam-3455	624	4	the	the	DET
ejpam-3455	624	5	inverse	inverse	NOUN
ejpam-3455	624	6	proportion	proportion	NOUN
ejpam-3455	624	7	between	between	ADP
ejpam-3455	624	8	coefficients	coefficient	NOUN
ejpam-3455	624	9	of	of	ADP
ejpam-3455	624	10	first	first	ADJ
ejpam-3455	624	11	order	order	NOUN
ejpam-3455	624	12	slip	slip	NOUN
ejpam-3455	624	13	and	and	CCONJ
ejpam-3455	624	14	velocity	velocity	NOUN
ejpam-3455	624	15	field	field	NOUN
ejpam-3455	624	16	and	and	CCONJ
ejpam-3455	624	17	shear	shear	NOUN
ejpam-3455	624	18	stress	stress	NOUN
ejpam-3455	624	19	,	,	PUNCT
ejpam-3455	624	20	both	both	DET
ejpam-3455	624	21	characters	character	NOUN
ejpam-3455	624	22	slows	slow	VERB
ejpam-3455	624	23	down	down	ADP
ejpam-3455	624	24	by	by	ADP
ejpam-3455	624	25	increasing	increase	VERB
ejpam-3455	624	26	the	the	DET
ejpam-3455	624	27	first	first	ADJ
ejpam-3455	624	28	order	order	NOUN
ejpam-3455	624	29	slip	slip	NOUN
ejpam-3455	624	30	.	.	PUNCT
ejpam-3455	625	1	twice	twice	DET
ejpam-3455	625	2	order	order	NOUN
ejpam-3455	625	3	slip	slip	NOUN
ejpam-3455	625	4	effects	effect	NOUN
ejpam-3455	625	5	over	over	ADP
ejpam-3455	625	6	the	the	DET
ejpam-3455	625	7	general	general	ADJ
ejpam-3455	625	8	solution	solution	NOUN
ejpam-3455	625	9	are	be	AUX
ejpam-3455	625	10	presented	present	VERB
ejpam-3455	625	11	in	in	ADP
ejpam-3455	625	12	fig	fig	NOUN
ejpam-3455	625	13	.	.	PUNCT
ejpam-3455	626	1	11	11	NUM
ejpam-3455	627	1	which	which	DET
ejpam-3455	627	2	indim	indim	NOUN
ejpam-3455	627	3	.	.	PUNCT
ejpam-3455	628	1	jamil	jamil	PROPN
ejpam-3455	628	2	,	,	PUNCT
ejpam-3455	628	3	i.	i.	PROPN
ejpam-3455	628	4	ahmed	ahmed	PROPN
ejpam-3455	628	5	/	/	PUNCT
ejpam-3455	628	6	eur	eur	PROPN
ejpam-3455	628	7	.	.	PUNCT
ejpam-3455	629	1	j.	j.	PROPN
ejpam-3455	629	2	pure	pure	PROPN
ejpam-3455	629	3	appl	appl	PROPN
ejpam-3455	629	4	.	.	PROPN
ejpam-3455	629	5	math	math	PROPN
ejpam-3455	629	6	,	,	PUNCT
ejpam-3455	629	7	12	12	NUM
ejpam-3455	629	8	(	(	PUNCT
ejpam-3455	629	9	3	3	NUM
ejpam-3455	629	10	)	)	PUNCT
ejpam-3455	629	11	(	(	PUNCT
ejpam-3455	629	12	2019	2019	NUM
ejpam-3455	629	13	)	)	PUNCT
ejpam-3455	629	14	,	,	PUNCT
ejpam-3455	629	15	1018	1018	NUM
ejpam-3455	629	16	-	-	SYM
ejpam-3455	629	17	1051	1051	NUM
ejpam-3455	629	18	1046	1046	NUM
ejpam-3455	629	19	cates	cat	VERB
ejpam-3455	629	20	that	that	DET
ejpam-3455	629	21	velocity	velocity	NOUN
ejpam-3455	629	22	and	and	CCONJ
ejpam-3455	629	23	shear	shear	NOUN
ejpam-3455	629	24	stress	stress	NOUN
ejpam-3455	629	25	decrease	decrease	NOUN
ejpam-3455	629	26	by	by	ADP
ejpam-3455	629	27	increasing	increase	VERB
ejpam-3455	629	28	the	the	DET
ejpam-3455	629	29	twice	twice	ADJ
ejpam-3455	629	30	order	order	NOUN
ejpam-3455	629	31	slip	slip	NOUN
ejpam-3455	629	32	.	.	PUNCT
ejpam-3455	630	1	figure	figure	VERB
ejpam-3455	630	2	11	11	NUM
ejpam-3455	630	3	:	:	PUNCT
ejpam-3455	630	4	profiles	profile	NOUN
ejpam-3455	630	5	for	for	ADP
ejpam-3455	630	6	fractionalized	fractionalize	VERB
ejpam-3455	630	7	maxwell	maxwell	PROPN
ejpam-3455	630	8	fluid	fluid	NOUN
ejpam-3455	630	9	given	give	VERB
ejpam-3455	630	10	by	by	ADP
ejpam-3455	630	11	eqs	eqs	PROPN
ejpam-3455	630	12	.	.	PUNCT
ejpam-3455	631	1	(	(	PUNCT
ejpam-3455	631	2	17	17	NUM
ejpam-3455	631	3	)	)	PUNCT
ejpam-3455	631	4	and	and	CCONJ
ejpam-3455	631	5	(	(	PUNCT
ejpam-3455	631	6	24	24	NUM
ejpam-3455	631	7	)	)	PUNCT
ejpam-3455	631	8	,	,	PUNCT
ejpam-3455	631	9	for	for	ADP
ejpam-3455	631	10	u	u	NOUN
ejpam-3455	631	11	=	=	SYM
ejpam-3455	631	12	2	2	NUM
ejpam-3455	631	13	,	,	PUNCT
ejpam-3455	631	14	ν	ν	X
ejpam-3455	631	15	=	=	NOUN
ejpam-3455	631	16	2.108	2.108	NUM
ejpam-3455	631	17	,	,	PUNCT
ejpam-3455	631	18	µ	µ	X
ejpam-3455	631	19	=	=	SYM
ejpam-3455	631	20	33	33	NUM
ejpam-3455	631	21	,	,	PUNCT
ejpam-3455	631	22	λ	λ	X
ejpam-3455	631	23	=	=	SYM
ejpam-3455	631	24	5	5	NUM
ejpam-3455	631	25	,	,	PUNCT
ejpam-3455	631	26	m	m	VERB
ejpam-3455	631	27	=	=	NOUN
ejpam-3455	631	28	0.5	0.5	NUM
ejpam-3455	631	29	,	,	PUNCT
ejpam-3455	631	30	ψ	ψ	X
ejpam-3455	631	31	=	=	SYM
ejpam-3455	631	32	2	2	NUM
ejpam-3455	631	33	,	,	PUNCT
ejpam-3455	631	34	α	α	NOUN
ejpam-3455	631	35	=	=	SYM
ejpam-3455	631	36	0.5	0.5	NUM
ejpam-3455	631	37	,	,	PUNCT
ejpam-3455	631	38	ω	ω	NOUN
ejpam-3455	631	39	=	=	SYM
ejpam-3455	631	40	1	1	NUM
ejpam-3455	631	41	,	,	PUNCT
ejpam-3455	631	42	θ1	θ1	NOUN
ejpam-3455	631	43	=	=	SYM
ejpam-3455	631	44	0.1	0.1	NUM
ejpam-3455	631	45	,	,	PUNCT
ejpam-3455	631	46	y	y	PROPN
ejpam-3455	631	47	=	=	SYM
ejpam-3455	631	48	3	3	NUM
ejpam-3455	631	49	and	and	CCONJ
ejpam-3455	631	50	different	different	ADJ
ejpam-3455	631	51	values	value	NOUN
ejpam-3455	631	52	of	of	ADP
ejpam-3455	631	53	θ2	θ2	PROPN
ejpam-3455	631	54	.	.	PUNCT
ejpam-3455	632	1	figure	figure	VERB
ejpam-3455	632	2	12	12	NUM
ejpam-3455	632	3	:	:	PUNCT
ejpam-3455	632	4	profiles	profile	NOUN
ejpam-3455	632	5	for	for	ADP
ejpam-3455	632	6	fractionalized	fractionalize	VERB
ejpam-3455	632	7	maxwell	maxwell	PROPN
ejpam-3455	632	8	fluid	fluid	NOUN
ejpam-3455	632	9	given	give	VERB
ejpam-3455	632	10	by	by	ADP
ejpam-3455	632	11	eqs	eqs	PROPN
ejpam-3455	632	12	.	.	PUNCT
ejpam-3455	633	1	(	(	PUNCT
ejpam-3455	633	2	17	17	NUM
ejpam-3455	633	3	)	)	PUNCT
ejpam-3455	633	4	and	and	CCONJ
ejpam-3455	633	5	(	(	PUNCT
ejpam-3455	633	6	24	24	NUM
ejpam-3455	633	7	)	)	PUNCT
ejpam-3455	633	8	,	,	PUNCT
ejpam-3455	633	9	maxwell	maxwell	PROPN
ejpam-3455	633	10	fluid	fluid	PROPN
ejpam-3455	633	11	with	with	ADP
ejpam-3455	633	12	mhd	mhd	PROPN
ejpam-3455	633	13	&	&	CCONJ
ejpam-3455	633	14	porous	porous	ADJ
ejpam-3455	633	15	given	give	VERB
ejpam-3455	633	16	by	by	ADP
ejpam-3455	633	17	eqs	eqs	PROPN
ejpam-3455	633	18	.	.	PUNCT
ejpam-3455	634	1	(	(	PUNCT
ejpam-3455	634	2	26	26	NUM
ejpam-3455	634	3	)	)	PUNCT
ejpam-3455	634	4	and	and	CCONJ
ejpam-3455	634	5	(	(	PUNCT
ejpam-3455	634	6	28	28	NUM
ejpam-3455	634	7	)	)	PUNCT
ejpam-3455	634	8	,	,	PUNCT
ejpam-3455	634	9	newtonian	newtonian	ADJ
ejpam-3455	634	10	fluid	fluid	NOUN
ejpam-3455	634	11	with	with	ADP
ejpam-3455	634	12	mhd	mhd	PROPN
ejpam-3455	634	13	&	&	CCONJ
ejpam-3455	634	14	porous	porous	ADJ
ejpam-3455	634	15	given	give	VERB
ejpam-3455	634	16	by	by	ADP
ejpam-3455	634	17	eqs	eqs	PROPN
ejpam-3455	634	18	.	.	PUNCT
ejpam-3455	635	1	(	(	PUNCT
ejpam-3455	635	2	50	50	NUM
ejpam-3455	635	3	)	)	PUNCT
ejpam-3455	635	4	and	and	CCONJ
ejpam-3455	635	5	(	(	PUNCT
ejpam-3455	635	6	51	51	NUM
ejpam-3455	635	7	)	)	PUNCT
ejpam-3455	635	8	and	and	CCONJ
ejpam-3455	635	9	newtonian	newtonian	ADJ
ejpam-3455	635	10	fluid	fluid	NOUN
ejpam-3455	635	11	given	give	VERB
ejpam-3455	635	12	by	by	ADP
ejpam-3455	635	13	eqs	eqs	PROPN
ejpam-3455	635	14	.	.	PUNCT
ejpam-3455	636	1	(	(	PUNCT
ejpam-3455	636	2	62	62	NUM
ejpam-3455	636	3	)	)	PUNCT
ejpam-3455	636	4	and	and	CCONJ
ejpam-3455	636	5	(	(	PUNCT
ejpam-3455	636	6	64	64	NUM
ejpam-3455	636	7	)	)	PUNCT
ejpam-3455	636	8	for	for	ADP
ejpam-3455	636	9	u	u	NOUN
ejpam-3455	636	10	=	=	SYM
ejpam-3455	636	11	2	2	NUM
ejpam-3455	636	12	,	,	PUNCT
ejpam-3455	636	13	ν	ν	X
ejpam-3455	636	14	=	=	NOUN
ejpam-3455	636	15	2.108	2.108	NUM
ejpam-3455	636	16	,	,	PUNCT
ejpam-3455	636	17	µ	µ	X
ejpam-3455	636	18	=	=	SYM
ejpam-3455	636	19	33	33	NUM
ejpam-3455	636	20	,	,	PUNCT
ejpam-3455	636	21	λ	λ	X
ejpam-3455	636	22	=	=	SYM
ejpam-3455	636	23	2	2	NUM
ejpam-3455	636	24	,	,	PUNCT
ejpam-3455	636	25	m	m	VERB
ejpam-3455	636	26	=	=	NOUN
ejpam-3455	636	27	0.2	0.2	NUM
ejpam-3455	636	28	,	,	PUNCT
ejpam-3455	636	29	ψ	ψ	X
ejpam-3455	636	30	=	=	SYM
ejpam-3455	636	31	3	3	NUM
ejpam-3455	636	32	,	,	PUNCT
ejpam-3455	636	33	α	α	NOUN
ejpam-3455	636	34	=	=	SYM
ejpam-3455	636	35	0.5	0.5	NUM
ejpam-3455	636	36	,	,	PUNCT
ejpam-3455	636	37	ω	ω	NOUN
ejpam-3455	636	38	=	=	SYM
ejpam-3455	636	39	1	1	NUM
ejpam-3455	636	40	,	,	PUNCT
ejpam-3455	636	41	θ1	θ1	NOUN
ejpam-3455	636	42	=	=	SYM
ejpam-3455	636	43	0.2	0.2	NUM
ejpam-3455	636	44	,	,	PUNCT
ejpam-3455	636	45	θ3	θ3	NOUN
ejpam-3455	636	46	=	=	NOUN
ejpam-3455	636	47	0.3	0.3	NUM
ejpam-3455	636	48	and	and	CCONJ
ejpam-3455	636	49	y	y	PROPN
ejpam-3455	636	50	=	=	SYM
ejpam-3455	636	51	1	1	X
ejpam-3455	636	52	.	.	NUM
ejpam-3455	636	53	fractionalized	fractionalize	VERB
ejpam-3455	636	54	maxwell	maxwell	PROPN
ejpam-3455	636	55	,	,	PUNCT
ejpam-3455	636	56	ordinary	ordinary	ADJ
ejpam-3455	636	57	maxwell	maxwell	PROPN
ejpam-3455	636	58	,	,	PUNCT
ejpam-3455	636	59	newtonian	newtonian	ADJ
ejpam-3455	636	60	fluid	fluid	ADJ
ejpam-3455	636	61	models	model	NOUN
ejpam-3455	636	62	and	and	CCONJ
ejpam-3455	636	63	newtonian	newtonian	ADJ
ejpam-3455	636	64	fluid	fluid	NOUN
ejpam-3455	636	65	without	without	ADP
ejpam-3455	636	66	porous	porous	ADJ
ejpam-3455	636	67	and	and	CCONJ
ejpam-3455	636	68	magnetic	magnetic	ADJ
ejpam-3455	636	69	effects	effect	NOUN
ejpam-3455	636	70	along	along	ADP
ejpam-3455	636	71	with	with	ADP
ejpam-3455	636	72	twice	twice	ADV
ejpam-3455	636	73	and/or	and/or	CCONJ
ejpam-3455	636	74	first	first	ADJ
ejpam-3455	636	75	slip	slip	NOUN
ejpam-3455	636	76	or	or	CCONJ
ejpam-3455	636	77	no	no	DET
ejpam-3455	636	78	slip	slip	NOUN
ejpam-3455	636	79	are	be	AUX
ejpam-3455	636	80	depicted	depict	VERB
ejpam-3455	636	81	in	in	ADP
ejpam-3455	636	82	figs	fig	NOUN
ejpam-3455	636	83	.	.	PUNCT
ejpam-3455	637	1	12	12	NUM
ejpam-3455	637	2	-	-	SYM
ejpam-3455	637	3	15	15	NUM
ejpam-3455	637	4	and	and	CCONJ
ejpam-3455	637	5	as	as	SCONJ
ejpam-3455	637	6	expected	expect	VERB
ejpam-3455	637	7	,	,	PUNCT
ejpam-3455	637	8	the	the	DET
ejpam-3455	637	9	flow	flow	NOUN
ejpam-3455	637	10	velocity	velocity	NOUN
ejpam-3455	637	11	and	and	CCONJ
ejpam-3455	637	12	shear	shear	NOUN
ejpam-3455	637	13	stress	stress	NOUN
ejpam-3455	637	14	of	of	ADP
ejpam-3455	637	15	newtonian	newtonian	ADJ
ejpam-3455	637	16	fluid	fluid	NOUN
ejpam-3455	637	17	without	without	ADP
ejpam-3455	637	18	porous	porous	ADJ
ejpam-3455	637	19	and	and	CCONJ
ejpam-3455	637	20	magnetic	magnetic	ADJ
ejpam-3455	637	21	effect	effect	NOUN
ejpam-3455	637	22	is	be	AUX
ejpam-3455	637	23	at	at	ADP
ejpam-3455	637	24	peak	peak	NOUN
ejpam-3455	637	25	in	in	ADP
ejpam-3455	637	26	comparison	comparison	NOUN
ejpam-3455	637	27	with	with	ADP
ejpam-3455	637	28	other	other	ADJ
ejpam-3455	637	29	mentioned	mention	VERB
ejpam-3455	637	30	m.	m.	NOUN
ejpam-3455	637	31	jamil	jamil	PROPN
ejpam-3455	637	32	,	,	PUNCT
ejpam-3455	637	33	i.	i.	PROPN
ejpam-3455	637	34	ahmed	ahmed	PROPN
ejpam-3455	637	35	/	/	PUNCT
ejpam-3455	637	36	eur	eur	PROPN
ejpam-3455	637	37	.	.	PUNCT
ejpam-3455	638	1	j.	j.	PROPN
ejpam-3455	638	2	pure	pure	PROPN
ejpam-3455	638	3	appl	appl	PROPN
ejpam-3455	638	4	.	.	PROPN
ejpam-3455	638	5	math	math	PROPN
ejpam-3455	638	6	,	,	PUNCT
ejpam-3455	638	7	12	12	NUM
ejpam-3455	638	8	(	(	PUNCT
ejpam-3455	638	9	3	3	NUM
ejpam-3455	638	10	)	)	PUNCT
ejpam-3455	638	11	(	(	PUNCT
ejpam-3455	638	12	2019	2019	NUM
ejpam-3455	638	13	)	)	PUNCT
ejpam-3455	638	14	,	,	PUNCT
ejpam-3455	638	15	1018	1018	NUM
ejpam-3455	638	16	-	-	SYM
ejpam-3455	638	17	1051	1051	NUM
ejpam-3455	638	18	1047	1047	NUM
ejpam-3455	638	19	fluid	fluid	NOUN
ejpam-3455	638	20	types	type	NOUN
ejpam-3455	638	21	in	in	ADP
ejpam-3455	638	22	all	all	DET
ejpam-3455	638	23	figs	fig	NOUN
ejpam-3455	638	24	.	.	PUNCT
ejpam-3455	639	1	12	12	NUM
ejpam-3455	639	2	-	-	SYM
ejpam-3455	639	3	15	15	NUM
ejpam-3455	639	4	.	.	PUNCT
ejpam-3455	640	1	figure	figure	NOUN
ejpam-3455	640	2	13	13	NUM
ejpam-3455	640	3	:	:	PUNCT
ejpam-3455	640	4	profiles	profile	NOUN
ejpam-3455	640	5	for	for	ADP
ejpam-3455	640	6	fractionalized	fractionalize	VERB
ejpam-3455	640	7	maxwell	maxwell	PROPN
ejpam-3455	640	8	fluid	fluid	NOUN
ejpam-3455	640	9	given	give	VERB
ejpam-3455	640	10	by	by	ADP
ejpam-3455	640	11	eqs	eqs	PROPN
ejpam-3455	640	12	.	.	PUNCT
ejpam-3455	641	1	(	(	PUNCT
ejpam-3455	641	2	17	17	NUM
ejpam-3455	641	3	)	)	PUNCT
ejpam-3455	641	4	and	and	CCONJ
ejpam-3455	641	5	(	(	PUNCT
ejpam-3455	641	6	24	24	NUM
ejpam-3455	641	7	)	)	PUNCT
ejpam-3455	641	8	,	,	PUNCT
ejpam-3455	641	9	maxwell	maxwell	PROPN
ejpam-3455	641	10	fluid	fluid	PROPN
ejpam-3455	641	11	with	with	ADP
ejpam-3455	641	12	mhd	mhd	PROPN
ejpam-3455	641	13	&	&	CCONJ
ejpam-3455	641	14	porous	porous	ADJ
ejpam-3455	641	15	given	give	VERB
ejpam-3455	641	16	by	by	ADP
ejpam-3455	641	17	eqs	eqs	PROPN
ejpam-3455	641	18	.	.	PUNCT
ejpam-3455	642	1	(	(	PUNCT
ejpam-3455	642	2	26	26	NUM
ejpam-3455	642	3	)	)	PUNCT
ejpam-3455	642	4	and	and	CCONJ
ejpam-3455	642	5	(	(	PUNCT
ejpam-3455	642	6	28	28	NUM
ejpam-3455	642	7	)	)	PUNCT
ejpam-3455	642	8	,	,	PUNCT
ejpam-3455	642	9	newtonian	newtonian	ADJ
ejpam-3455	642	10	fluid	fluid	NOUN
ejpam-3455	642	11	with	with	ADP
ejpam-3455	642	12	mhd	mhd	PROPN
ejpam-3455	642	13	&	&	CCONJ
ejpam-3455	642	14	porous	porous	ADJ
ejpam-3455	642	15	given	give	VERB
ejpam-3455	642	16	by	by	ADP
ejpam-3455	642	17	eqs	eqs	PROPN
ejpam-3455	642	18	.	.	PUNCT
ejpam-3455	643	1	(	(	PUNCT
ejpam-3455	643	2	50	50	NUM
ejpam-3455	643	3	)	)	PUNCT
ejpam-3455	643	4	and	and	CCONJ
ejpam-3455	643	5	(	(	PUNCT
ejpam-3455	643	6	51	51	NUM
ejpam-3455	643	7	)	)	PUNCT
ejpam-3455	643	8	and	and	CCONJ
ejpam-3455	643	9	newtonian	newtonian	ADJ
ejpam-3455	643	10	fluid	fluid	NOUN
ejpam-3455	643	11	given	give	VERB
ejpam-3455	643	12	by	by	ADP
ejpam-3455	643	13	eqs	eqs	PROPN
ejpam-3455	643	14	.	.	PUNCT
ejpam-3455	644	1	(	(	PUNCT
ejpam-3455	644	2	62	62	NUM
ejpam-3455	644	3	)	)	PUNCT
ejpam-3455	644	4	and	and	CCONJ
ejpam-3455	644	5	(	(	PUNCT
ejpam-3455	644	6	64	64	NUM
ejpam-3455	644	7	)	)	PUNCT
ejpam-3455	644	8	for	for	ADP
ejpam-3455	644	9	u	u	NOUN
ejpam-3455	644	10	=	=	SYM
ejpam-3455	644	11	2	2	NUM
ejpam-3455	644	12	,	,	PUNCT
ejpam-3455	644	13	ν	ν	X
ejpam-3455	644	14	=	=	NOUN
ejpam-3455	644	15	2.108	2.108	NUM
ejpam-3455	644	16	,	,	PUNCT
ejpam-3455	644	17	µ	µ	X
ejpam-3455	644	18	=	=	SYM
ejpam-3455	644	19	33	33	NUM
ejpam-3455	644	20	,	,	PUNCT
ejpam-3455	644	21	λ	λ	X
ejpam-3455	644	22	=	=	SYM
ejpam-3455	644	23	2	2	NUM
ejpam-3455	644	24	,	,	PUNCT
ejpam-3455	644	25	m	m	VERB
ejpam-3455	644	26	=	=	NOUN
ejpam-3455	644	27	0.2	0.2	NUM
ejpam-3455	644	28	,	,	PUNCT
ejpam-3455	644	29	ψ	ψ	X
ejpam-3455	644	30	=	=	SYM
ejpam-3455	644	31	3	3	NUM
ejpam-3455	644	32	,	,	PUNCT
ejpam-3455	644	33	α	α	NOUN
ejpam-3455	644	34	=	=	SYM
ejpam-3455	644	35	0.5	0.5	NUM
ejpam-3455	644	36	,	,	PUNCT
ejpam-3455	644	37	ω	ω	NOUN
ejpam-3455	644	38	=	=	SYM
ejpam-3455	644	39	1	1	NUM
ejpam-3455	644	40	,	,	PUNCT
ejpam-3455	644	41	θ1	θ1	NOUN
ejpam-3455	644	42	=	=	SYM
ejpam-3455	644	43	0.0	0.0	NUM
ejpam-3455	644	44	,	,	PUNCT
ejpam-3455	644	45	θ2	θ2	ADV
ejpam-3455	644	46	=	=	PUNCT
ejpam-3455	644	47	0.3	0.3	NUM
ejpam-3455	644	48	and	and	CCONJ
ejpam-3455	644	49	y	y	PROPN
ejpam-3455	644	50	=	=	SYM
ejpam-3455	644	51	1	1	X
ejpam-3455	644	52	.	.	X
ejpam-3455	644	53	figure	figure	NOUN
ejpam-3455	644	54	14	14	NUM
ejpam-3455	644	55	:	:	PUNCT
ejpam-3455	644	56	profiles	profile	NOUN
ejpam-3455	644	57	for	for	ADP
ejpam-3455	644	58	fractionalized	fractionalize	VERB
ejpam-3455	644	59	maxwell	maxwell	PROPN
ejpam-3455	644	60	fluid	fluid	NOUN
ejpam-3455	644	61	given	give	VERB
ejpam-3455	644	62	by	by	ADP
ejpam-3455	644	63	eqs	eqs	PROPN
ejpam-3455	644	64	.	.	PUNCT
ejpam-3455	645	1	(	(	PUNCT
ejpam-3455	645	2	17	17	NUM
ejpam-3455	645	3	)	)	PUNCT
ejpam-3455	645	4	and	and	CCONJ
ejpam-3455	645	5	(	(	PUNCT
ejpam-3455	645	6	24	24	NUM
ejpam-3455	645	7	)	)	PUNCT
ejpam-3455	645	8	,	,	PUNCT
ejpam-3455	645	9	maxwell	maxwell	PROPN
ejpam-3455	645	10	fluid	fluid	PROPN
ejpam-3455	645	11	with	with	ADP
ejpam-3455	645	12	mhd	mhd	PROPN
ejpam-3455	645	13	&	&	CCONJ
ejpam-3455	645	14	porous	porous	ADJ
ejpam-3455	645	15	given	give	VERB
ejpam-3455	645	16	by	by	ADP
ejpam-3455	645	17	eqs	eqs	PROPN
ejpam-3455	645	18	.	.	PUNCT
ejpam-3455	646	1	(	(	PUNCT
ejpam-3455	646	2	26	26	NUM
ejpam-3455	646	3	)	)	PUNCT
ejpam-3455	646	4	and	and	CCONJ
ejpam-3455	646	5	(	(	PUNCT
ejpam-3455	646	6	28	28	NUM
ejpam-3455	646	7	)	)	PUNCT
ejpam-3455	646	8	,	,	PUNCT
ejpam-3455	646	9	newtonian	newtonian	ADJ
ejpam-3455	646	10	fluid	fluid	NOUN
ejpam-3455	646	11	with	with	ADP
ejpam-3455	646	12	mhd	mhd	PROPN
ejpam-3455	646	13	&	&	CCONJ
ejpam-3455	646	14	porous	porous	ADJ
ejpam-3455	646	15	given	give	VERB
ejpam-3455	646	16	by	by	ADP
ejpam-3455	646	17	eqs	eqs	PROPN
ejpam-3455	646	18	.	.	PUNCT
ejpam-3455	647	1	(	(	PUNCT
ejpam-3455	647	2	50	50	NUM
ejpam-3455	647	3	)	)	PUNCT
ejpam-3455	647	4	and	and	CCONJ
ejpam-3455	647	5	(	(	PUNCT
ejpam-3455	647	6	51	51	NUM
ejpam-3455	647	7	)	)	PUNCT
ejpam-3455	647	8	and	and	CCONJ
ejpam-3455	647	9	newtonian	newtonian	ADJ
ejpam-3455	647	10	fluid	fluid	NOUN
ejpam-3455	647	11	given	give	VERB
ejpam-3455	647	12	by	by	ADP
ejpam-3455	647	13	eqs	eqs	PROPN
ejpam-3455	647	14	.	.	PUNCT
ejpam-3455	648	1	(	(	PUNCT
ejpam-3455	648	2	62	62	NUM
ejpam-3455	648	3	)	)	PUNCT
ejpam-3455	648	4	and	and	CCONJ
ejpam-3455	648	5	(	(	PUNCT
ejpam-3455	648	6	64	64	NUM
ejpam-3455	648	7	)	)	PUNCT
ejpam-3455	648	8	for	for	ADP
ejpam-3455	648	9	u	u	NOUN
ejpam-3455	648	10	=	=	SYM
ejpam-3455	648	11	2	2	NUM
ejpam-3455	648	12	,	,	PUNCT
ejpam-3455	648	13	ν	ν	X
ejpam-3455	648	14	=	=	NOUN
ejpam-3455	648	15	2.108	2.108	NUM
ejpam-3455	648	16	,	,	PUNCT
ejpam-3455	648	17	µ	µ	X
ejpam-3455	648	18	=	=	SYM
ejpam-3455	648	19	33	33	NUM
ejpam-3455	648	20	,	,	PUNCT
ejpam-3455	648	21	λ	λ	X
ejpam-3455	648	22	=	=	SYM
ejpam-3455	648	23	2	2	NUM
ejpam-3455	648	24	,	,	PUNCT
ejpam-3455	648	25	m	m	VERB
ejpam-3455	648	26	=	=	NOUN
ejpam-3455	648	27	0.2	0.2	NUM
ejpam-3455	648	28	,	,	PUNCT
ejpam-3455	648	29	ψ	ψ	X
ejpam-3455	648	30	=	=	SYM
ejpam-3455	648	31	3	3	NUM
ejpam-3455	648	32	,	,	PUNCT
ejpam-3455	648	33	α	α	NOUN
ejpam-3455	648	34	=	=	SYM
ejpam-3455	648	35	0.5	0.5	NUM
ejpam-3455	648	36	,	,	PUNCT
ejpam-3455	648	37	ω	ω	NOUN
ejpam-3455	648	38	=	=	SYM
ejpam-3455	648	39	1	1	NUM
ejpam-3455	648	40	,	,	PUNCT
ejpam-3455	648	41	θ1	θ1	NOUN
ejpam-3455	648	42	=	=	SYM
ejpam-3455	648	43	0.2	0.2	NUM
ejpam-3455	648	44	,	,	PUNCT
ejpam-3455	648	45	θ2	θ2	ADV
ejpam-3455	648	46	=	=	SYM
ejpam-3455	648	47	0.0	0.0	NUM
ejpam-3455	648	48	and	and	CCONJ
ejpam-3455	648	49	y	y	PROPN
ejpam-3455	648	50	=	=	SYM
ejpam-3455	648	51	1	1	X
ejpam-3455	648	52	.	.	PUNCT
ejpam-3455	648	53	with	with	ADP
ejpam-3455	648	54	combined	combined	ADJ
ejpam-3455	648	55	effect	effect	NOUN
ejpam-3455	648	56	of	of	ADP
ejpam-3455	648	57	both	both	CCONJ
ejpam-3455	648	58	the	the	DET
ejpam-3455	648	59	first	first	ADJ
ejpam-3455	648	60	and	and	CCONJ
ejpam-3455	648	61	twice	twice	ADJ
ejpam-3455	648	62	order	order	NOUN
ejpam-3455	648	63	slips	slip	NOUN
ejpam-3455	648	64	,	,	PUNCT
ejpam-3455	648	65	newtonian	newtonian	ADJ
ejpam-3455	648	66	fluid	fluid	NOUN
ejpam-3455	648	67	without	without	ADP
ejpam-3455	648	68	magnetic	magnetic	ADJ
ejpam-3455	648	69	and	and	CCONJ
ejpam-3455	648	70	porous	porous	ADJ
ejpam-3455	648	71	parameters	parameter	NOUN
ejpam-3455	648	72	has	have	VERB
ejpam-3455	648	73	maximum	maximum	ADJ
ejpam-3455	648	74	velocity	velocity	NOUN
ejpam-3455	648	75	and	and	CCONJ
ejpam-3455	648	76	shear	shear	NOUN
ejpam-3455	648	77	stress	stress	NOUN
ejpam-3455	648	78	and	and	CCONJ
ejpam-3455	648	79	newtonian	newtonian	ADJ
ejpam-3455	648	80	m.	m.	PROPN
ejpam-3455	648	81	jamil	jamil	PROPN
ejpam-3455	648	82	,	,	PUNCT
ejpam-3455	648	83	i.	i.	PROPN
ejpam-3455	648	84	ahmed	ahmed	PROPN
ejpam-3455	648	85	/	/	PUNCT
ejpam-3455	648	86	eur	eur	PROPN
ejpam-3455	648	87	.	.	PUNCT
ejpam-3455	649	1	j.	j.	PROPN
ejpam-3455	649	2	pure	pure	PROPN
ejpam-3455	649	3	appl	appl	PROPN
ejpam-3455	649	4	.	.	PROPN
ejpam-3455	649	5	math	math	PROPN
ejpam-3455	649	6	,	,	PUNCT
ejpam-3455	649	7	12	12	NUM
ejpam-3455	649	8	(	(	PUNCT
ejpam-3455	649	9	3	3	NUM
ejpam-3455	649	10	)	)	PUNCT
ejpam-3455	649	11	(	(	PUNCT
ejpam-3455	649	12	2019	2019	NUM
ejpam-3455	649	13	)	)	PUNCT
ejpam-3455	649	14	,	,	PUNCT
ejpam-3455	649	15	1018	1018	NUM
ejpam-3455	649	16	-	-	SYM
ejpam-3455	649	17	1051	1051	NUM
ejpam-3455	649	18	1048	1048	NUM
ejpam-3455	649	19	fluid	fluid	NOUN
ejpam-3455	649	20	has	have	VERB
ejpam-3455	649	21	minimum	minimum	NOUN
ejpam-3455	649	22	as	as	SCONJ
ejpam-3455	649	23	compared	compare	VERB
ejpam-3455	649	24	to	to	ADP
ejpam-3455	649	25	other	other	ADJ
ejpam-3455	649	26	three	three	NUM
ejpam-3455	649	27	types	type	NOUN
ejpam-3455	649	28	presented	present	VERB
ejpam-3455	649	29	as	as	SCONJ
ejpam-3455	649	30	shown	show	VERB
ejpam-3455	649	31	in	in	ADP
ejpam-3455	649	32	figs	fig	NOUN
ejpam-3455	649	33	.	.	PUNCT
ejpam-3455	650	1	12	12	NUM
ejpam-3455	650	2	.	.	PUNCT
ejpam-3455	650	3	fig	fig	NOUN
ejpam-3455	650	4	.	.	PUNCT
ejpam-3455	651	1	13	13	NUM
ejpam-3455	651	2	is	be	AUX
ejpam-3455	651	3	based	base	VERB
ejpam-3455	651	4	on	on	ADP
ejpam-3455	651	5	assumption	assumption	NOUN
ejpam-3455	651	6	that	that	SCONJ
ejpam-3455	651	7	if	if	SCONJ
ejpam-3455	651	8	the	the	DET
ejpam-3455	651	9	first	first	ADJ
ejpam-3455	651	10	order	order	NOUN
ejpam-3455	651	11	slip	slip	NOUN
ejpam-3455	651	12	does	do	AUX
ejpam-3455	651	13	not	not	PART
ejpam-3455	651	14	occur	occur	VERB
ejpam-3455	651	15	,	,	PUNCT
ejpam-3455	651	16	than	than	SCONJ
ejpam-3455	651	17	the	the	DET
ejpam-3455	651	18	flow	flow	NOUN
ejpam-3455	651	19	with	with	ADP
ejpam-3455	651	20	twice	twice	ADJ
ejpam-3455	651	21	order	order	NOUN
ejpam-3455	651	22	slips	slip	NOUN
ejpam-3455	651	23	has	have	AUX
ejpam-3455	651	24	a	a	DET
ejpam-3455	651	25	larger	large	ADJ
ejpam-3455	651	26	magnitude	magnitude	NOUN
ejpam-3455	651	27	in	in	ADP
ejpam-3455	651	28	comparison	comparison	NOUN
ejpam-3455	651	29	to	to	ADP
ejpam-3455	651	30	those	those	PRON
ejpam-3455	651	31	of	of	ADP
ejpam-3455	651	32	figs	fig	NOUN
ejpam-3455	651	33	.	.	PUNCT
ejpam-3455	652	1	12	12	NUM
ejpam-3455	652	2	.	.	PUNCT
ejpam-3455	653	1	comparing	compare	VERB
ejpam-3455	653	2	the	the	DET
ejpam-3455	653	3	magnitudes	magnitude	NOUN
ejpam-3455	653	4	of	of	ADP
ejpam-3455	653	5	velocity	velocity	NOUN
ejpam-3455	653	6	and	and	CCONJ
ejpam-3455	653	7	shear	shear	NOUN
ejpam-3455	653	8	stress	stress	NOUN
ejpam-3455	653	9	of	of	ADP
ejpam-3455	653	10	the	the	DET
ejpam-3455	653	11	flow	flow	NOUN
ejpam-3455	653	12	with	with	ADP
ejpam-3455	653	13	and	and	CCONJ
ejpam-3455	653	14	without	without	ADP
ejpam-3455	653	15	twice	twice	ADJ
ejpam-3455	653	16	order	order	NOUN
ejpam-3455	653	17	slips	slip	NOUN
ejpam-3455	653	18	,	,	PUNCT
ejpam-3455	653	19	smaller	small	ADJ
ejpam-3455	653	20	magnitude	magnitude	NOUN
ejpam-3455	653	21	with	with	ADP
ejpam-3455	653	22	twice	twice	ADJ
ejpam-3455	653	23	order	order	NOUN
ejpam-3455	653	24	slip	slip	NOUN
ejpam-3455	653	25	is	be	AUX
ejpam-3455	653	26	observed	observe	VERB
ejpam-3455	653	27	as	as	SCONJ
ejpam-3455	653	28	it	it	PRON
ejpam-3455	653	29	clear	clear	ADJ
ejpam-3455	653	30	from	from	ADP
ejpam-3455	653	31	figs	fig	NOUN
ejpam-3455	653	32	.	.	PUNCT
ejpam-3455	654	1	13	13	NUM
ejpam-3455	654	2	-	-	SYM
ejpam-3455	654	3	15	15	NUM
ejpam-3455	654	4	.	.	PUNCT
ejpam-3455	655	1	in	in	ADP
ejpam-3455	655	2	other	other	ADJ
ejpam-3455	655	3	words	word	NOUN
ejpam-3455	655	4	twice	twice	ADJ
ejpam-3455	655	5	order	order	NOUN
ejpam-3455	655	6	slip	slip	NOUN
ejpam-3455	655	7	offers	offer	VERB
ejpam-3455	655	8	more	more	ADJ
ejpam-3455	655	9	resistance	resistance	NOUN
ejpam-3455	655	10	to	to	ADP
ejpam-3455	655	11	the	the	DET
ejpam-3455	655	12	flow	flow	NOUN
ejpam-3455	655	13	of	of	ADP
ejpam-3455	655	14	fluid	fluid	NOUN
ejpam-3455	655	15	than	than	ADP
ejpam-3455	655	16	the	the	DET
ejpam-3455	655	17	first	first	ADJ
ejpam-3455	655	18	order	order	NOUN
ejpam-3455	655	19	slip	slip	NOUN
ejpam-3455	655	20	.	.	PUNCT
ejpam-3455	656	1	the	the	DET
ejpam-3455	656	2	units	unit	NOUN
ejpam-3455	656	3	of	of	ADP
ejpam-3455	656	4	the	the	DET
ejpam-3455	656	5	material	material	NOUN
ejpam-3455	656	6	constants	constant	NOUN
ejpam-3455	656	7	in	in	ADP
ejpam-3455	656	8	all	all	DET
ejpam-3455	656	9	figures	figure	NOUN
ejpam-3455	656	10	are	be	AUX
ejpam-3455	656	11	si	si	PROPN
ejpam-3455	656	12	units	unit	NOUN
ejpam-3455	656	13	and	and	CCONJ
ejpam-3455	656	14	all	all	DET
ejpam-3455	656	15	graphs	graph	NOUN
ejpam-3455	656	16	are	be	AUX
ejpam-3455	656	17	made	make	VERB
ejpam-3455	656	18	by	by	ADP
ejpam-3455	656	19	using	use	VERB
ejpam-3455	656	20	mathcad	mathcad	PROPN
ejpam-3455	656	21	software	software	PROPN
ejpam-3455	656	22	.	.	PUNCT
ejpam-3455	657	1	figure	figure	VERB
ejpam-3455	657	2	15	15	NUM
ejpam-3455	657	3	:	:	PUNCT
ejpam-3455	657	4	profiles	profile	NOUN
ejpam-3455	657	5	for	for	ADP
ejpam-3455	657	6	fractionalized	fractionalize	VERB
ejpam-3455	657	7	maxwell	maxwell	PROPN
ejpam-3455	657	8	fluid	fluid	NOUN
ejpam-3455	657	9	given	give	VERB
ejpam-3455	657	10	by	by	ADP
ejpam-3455	657	11	eqs	eqs	PROPN
ejpam-3455	657	12	.	.	PUNCT
ejpam-3455	658	1	(	(	PUNCT
ejpam-3455	658	2	17	17	NUM
ejpam-3455	658	3	)	)	PUNCT
ejpam-3455	658	4	and	and	CCONJ
ejpam-3455	658	5	(	(	PUNCT
ejpam-3455	658	6	24	24	NUM
ejpam-3455	658	7	)	)	PUNCT
ejpam-3455	658	8	,	,	PUNCT
ejpam-3455	658	9	maxwell	maxwell	PROPN
ejpam-3455	658	10	fluid	fluid	PROPN
ejpam-3455	658	11	with	with	ADP
ejpam-3455	658	12	mhd	mhd	PROPN
ejpam-3455	658	13	&	&	CCONJ
ejpam-3455	658	14	porous	porous	ADJ
ejpam-3455	658	15	given	give	VERB
ejpam-3455	658	16	by	by	ADP
ejpam-3455	658	17	eqs	eqs	PROPN
ejpam-3455	658	18	.	.	PUNCT
ejpam-3455	659	1	(	(	PUNCT
ejpam-3455	659	2	26	26	NUM
ejpam-3455	659	3	)	)	PUNCT
ejpam-3455	659	4	and	and	CCONJ
ejpam-3455	659	5	(	(	PUNCT
ejpam-3455	659	6	28	28	NUM
ejpam-3455	659	7	)	)	PUNCT
ejpam-3455	659	8	,	,	PUNCT
ejpam-3455	659	9	newtonian	newtonian	ADJ
ejpam-3455	659	10	fluid	fluid	NOUN
ejpam-3455	659	11	with	with	ADP
ejpam-3455	659	12	mhd	mhd	PROPN
ejpam-3455	659	13	&	&	CCONJ
ejpam-3455	659	14	porous	porous	ADJ
ejpam-3455	659	15	given	give	VERB
ejpam-3455	659	16	by	by	ADP
ejpam-3455	659	17	eqs	eqs	PROPN
ejpam-3455	659	18	.	.	PUNCT
ejpam-3455	660	1	(	(	PUNCT
ejpam-3455	660	2	50	50	NUM
ejpam-3455	660	3	)	)	PUNCT
ejpam-3455	660	4	and	and	CCONJ
ejpam-3455	660	5	(	(	PUNCT
ejpam-3455	660	6	51	51	NUM
ejpam-3455	660	7	)	)	PUNCT
ejpam-3455	660	8	and	and	CCONJ
ejpam-3455	660	9	newtonian	newtonian	ADJ
ejpam-3455	660	10	fluid	fluid	NOUN
ejpam-3455	660	11	given	give	VERB
ejpam-3455	660	12	by	by	ADP
ejpam-3455	660	13	eqs	eqs	PROPN
ejpam-3455	660	14	.	.	PUNCT
ejpam-3455	661	1	(	(	PUNCT
ejpam-3455	661	2	62	62	NUM
ejpam-3455	661	3	)	)	PUNCT
ejpam-3455	661	4	and	and	CCONJ
ejpam-3455	661	5	(	(	PUNCT
ejpam-3455	661	6	64	64	NUM
ejpam-3455	661	7	)	)	PUNCT
ejpam-3455	661	8	for	for	ADP
ejpam-3455	661	9	u	u	NOUN
ejpam-3455	661	10	=	=	SYM
ejpam-3455	661	11	2	2	NUM
ejpam-3455	661	12	,	,	PUNCT
ejpam-3455	661	13	ν	ν	X
ejpam-3455	661	14	=	=	NOUN
ejpam-3455	661	15	2.108	2.108	NUM
ejpam-3455	661	16	,	,	PUNCT
ejpam-3455	661	17	µ	µ	X
ejpam-3455	661	18	=	=	SYM
ejpam-3455	661	19	33	33	NUM
ejpam-3455	661	20	,	,	PUNCT
ejpam-3455	661	21	λ	λ	X
ejpam-3455	661	22	=	=	SYM
ejpam-3455	661	23	2	2	NUM
ejpam-3455	661	24	,	,	PUNCT
ejpam-3455	661	25	m	m	VERB
ejpam-3455	661	26	=	=	NOUN
ejpam-3455	661	27	0.2	0.2	NUM
ejpam-3455	661	28	,	,	PUNCT
ejpam-3455	661	29	ψ	ψ	X
ejpam-3455	661	30	=	=	SYM
ejpam-3455	661	31	3	3	NUM
ejpam-3455	661	32	,	,	PUNCT
ejpam-3455	661	33	α	α	NOUN
ejpam-3455	661	34	=	=	SYM
ejpam-3455	661	35	0.5	0.5	NUM
ejpam-3455	661	36	,	,	PUNCT
ejpam-3455	661	37	ω	ω	NOUN
ejpam-3455	661	38	=	=	SYM
ejpam-3455	661	39	1	1	NUM
ejpam-3455	661	40	,	,	PUNCT
ejpam-3455	661	41	θ1	θ1	NOUN
ejpam-3455	661	42	=	=	SYM
ejpam-3455	661	43	0.0	0.0	NUM
ejpam-3455	661	44	,	,	PUNCT
ejpam-3455	661	45	θ2	θ2	ADV
ejpam-3455	661	46	=	=	SYM
ejpam-3455	661	47	0.0	0.0	NUM
ejpam-3455	661	48	and	and	CCONJ
ejpam-3455	661	49	y	y	PROPN
ejpam-3455	661	50	=	=	SYM
ejpam-3455	661	51	1	1	NUM
ejpam-3455	661	52	.	.	NOUN
ejpam-3455	661	53	6	6	NUM
ejpam-3455	661	54	.	.	X
ejpam-3455	662	1	concluding	conclude	VERB
ejpam-3455	662	2	remarks	remark	VERB
ejpam-3455	662	3	the	the	DET
ejpam-3455	662	4	effects	effect	NOUN
ejpam-3455	662	5	of	of	ADP
ejpam-3455	662	6	twice	twice	ADJ
ejpam-3455	662	7	slip	slip	NOUN
ejpam-3455	662	8	between	between	ADP
ejpam-3455	662	9	the	the	DET
ejpam-3455	662	10	oscillating	oscillate	VERB
ejpam-3455	662	11	plate	plate	NOUN
ejpam-3455	662	12	and	and	CCONJ
ejpam-3455	662	13	the	the	DET
ejpam-3455	662	14	fluid	fluid	NOUN
ejpam-3455	662	15	are	be	AUX
ejpam-3455	662	16	more	more	ADV
ejpam-3455	662	17	intense	intense	ADJ
ejpam-3455	662	18	than	than	ADP
ejpam-3455	662	19	that	that	PRON
ejpam-3455	662	20	of	of	ADP
ejpam-3455	662	21	first	first	ADJ
ejpam-3455	662	22	order	order	NOUN
ejpam-3455	662	23	slip	slip	VERB
ejpam-3455	662	24	only	only	ADV
ejpam-3455	662	25	,	,	PUNCT
ejpam-3455	662	26	while	while	SCONJ
ejpam-3455	662	27	both	both	DET
ejpam-3455	662	28	the	the	DET
ejpam-3455	662	29	slips	slip	NOUN
ejpam-3455	662	30	play	play	VERB
ejpam-3455	662	31	similar	similar	ADJ
ejpam-3455	662	32	role	role	NOUN
ejpam-3455	662	33	of	of	ADP
ejpam-3455	662	34	decaying	decay	VERB
ejpam-3455	662	35	the	the	DET
ejpam-3455	662	36	flow	flow	NOUN
ejpam-3455	662	37	values	value	NOUN
ejpam-3455	662	38	numerically	numerically	ADV
ejpam-3455	662	39	,	,	PUNCT
ejpam-3455	662	40	specifically	specifically	ADV
ejpam-3455	662	41	the	the	DET
ejpam-3455	662	42	flow	flow	NOUN
ejpam-3455	662	43	values	value	NOUN
ejpam-3455	662	44	are	be	AUX
ejpam-3455	662	45	higher	high	ADJ
ejpam-3455	662	46	for	for	ADP
ejpam-3455	662	47	all	all	DET
ejpam-3455	662	48	four	four	NUM
ejpam-3455	662	49	types	type	NOUN
ejpam-3455	662	50	of	of	ADP
ejpam-3455	662	51	fluids	fluid	NOUN
ejpam-3455	662	52	without	without	ADP
ejpam-3455	662	53	slips	slip	NOUN
ejpam-3455	662	54	.	.	PUNCT
ejpam-3455	663	1	to	to	ADP
ejpam-3455	663	2	the	the	DET
ejpam-3455	663	3	best	good	ADJ
ejpam-3455	663	4	of	of	ADP
ejpam-3455	663	5	author	author	NOUN
ejpam-3455	663	6	’s	’s	PART
ejpam-3455	663	7	knowledge	knowledge	NOUN
ejpam-3455	663	8	,	,	PUNCT
ejpam-3455	663	9	rare	rare	ADJ
ejpam-3455	663	10	attempts	attempt	NOUN
ejpam-3455	663	11	have	have	AUX
ejpam-3455	663	12	been	be	AUX
ejpam-3455	663	13	made	make	VERB
ejpam-3455	663	14	to	to	PART
ejpam-3455	663	15	examine	examine	VERB
ejpam-3455	663	16	the	the	DET
ejpam-3455	663	17	effects	effect	NOUN
ejpam-3455	663	18	of	of	ADP
ejpam-3455	663	19	twice	twice	ADJ
ejpam-3455	663	20	order	order	NOUN
ejpam-3455	663	21	slip	slip	NOUN
ejpam-3455	663	22	,	,	PUNCT
ejpam-3455	663	23	thus	thus	ADV
ejpam-3455	663	24	the	the	DET
ejpam-3455	663	25	future	future	ADJ
ejpam-3455	663	26	work	work	NOUN
ejpam-3455	663	27	will	will	AUX
ejpam-3455	663	28	be	be	AUX
ejpam-3455	663	29	to	to	PART
ejpam-3455	663	30	investigate	investigate	VERB
ejpam-3455	663	31	the	the	DET
ejpam-3455	663	32	effects	effect	NOUN
ejpam-3455	663	33	of	of	ADP
ejpam-3455	663	34	twice	twice	ADJ
ejpam-3455	663	35	order	order	NOUN
ejpam-3455	663	36	slip	slip	NOUN
ejpam-3455	663	37	for	for	ADP
ejpam-3455	663	38	different	different	ADJ
ejpam-3455	663	39	class	class	NOUN
ejpam-3455	663	40	of	of	ADP
ejpam-3455	663	41	fluid	fluid	NOUN
ejpam-3455	663	42	with	with	ADP
ejpam-3455	663	43	a	a	DET
ejpam-3455	663	44	variety	variety	NOUN
ejpam-3455	663	45	of	of	ADP
ejpam-3455	663	46	wall	wall	NOUN
ejpam-3455	663	47	slip	slip	VERB
ejpam-3455	663	48	boundary	boundary	ADJ
ejpam-3455	663	49	conditions	condition	NOUN
ejpam-3455	663	50	.	.	PUNCT
ejpam-3455	664	1	acknowledgements	acknowledgement	NOUN
ejpam-3455	664	2	the	the	DET
ejpam-3455	664	3	authors	author	NOUN
ejpam-3455	664	4	would	would	AUX
ejpam-3455	664	5	like	like	VERB
ejpam-3455	664	6	to	to	PART
ejpam-3455	664	7	express	express	VERB
ejpam-3455	664	8	their	their	PRON
ejpam-3455	664	9	sincere	sincere	ADJ
ejpam-3455	664	10	thanks	thank	NOUN
ejpam-3455	664	11	and	and	CCONJ
ejpam-3455	664	12	gratitude	gratitude	NOUN
ejpam-3455	664	13	to	to	ADP
ejpam-3455	664	14	the	the	DET
ejpam-3455	664	15	referees	referee	NOUN
ejpam-3455	664	16	for	for	ADP
ejpam-3455	664	17	their	their	PRON
ejpam-3455	664	18	careful	careful	ADJ
ejpam-3455	664	19	assessment	assessment	NOUN
ejpam-3455	664	20	and	and	CCONJ
ejpam-3455	664	21	fruitful	fruitful	ADJ
ejpam-3455	664	22	remarks	remark	NOUN
ejpam-3455	664	23	and	and	CCONJ
ejpam-3455	664	24	suggestions	suggestion	NOUN
ejpam-3455	664	25	regarding	regard	VERB
ejpam-3455	664	26	the	the	DET
ejpam-3455	664	27	initial	initial	ADJ
ejpam-3455	664	28	version	version	NOUN
ejpam-3455	664	29	references	reference	NOUN
ejpam-3455	664	30	1049	1049	NUM
ejpam-3455	664	31	of	of	ADP
ejpam-3455	664	32	this	this	DET
ejpam-3455	664	33	manuscript	manuscript	NOUN
ejpam-3455	664	34	.	.	PUNCT
ejpam-3455	665	1	the	the	DET
ejpam-3455	665	2	authors	author	NOUN
ejpam-3455	665	3	,	,	PUNCT
ejpam-3455	665	4	dr	dr	PROPN
ejpam-3455	665	5	.	.	PROPN
ejpam-3455	665	6	muhammad	muhammad	PROPN
ejpam-3455	665	7	jamil	jamil	PROPN
ejpam-3455	665	8	and	and	CCONJ
ejpam-3455	665	9	israr	israr	PROPN
ejpam-3455	665	10	ahmed	ahme	VERB
ejpam-3455	665	11	,	,	PUNCT
ejpam-3455	665	12	are	be	AUX
ejpam-3455	665	13	thoroughly	thoroughly	ADV
ejpam-3455	665	14	obliged	oblige	VERB
ejpam-3455	665	15	to	to	ADP
ejpam-3455	665	16	the	the	DET
ejpam-3455	665	17	department	department	NOUN
ejpam-3455	665	18	of	of	ADP
ejpam-3455	665	19	mathematics	mathematics	PROPN
ejpam-3455	665	20	,	,	PUNCT
ejpam-3455	665	21	ned	ned	PROPN
ejpam-3455	665	22	university	university	PROPN
ejpam-3455	665	23	of	of	ADP
ejpam-3455	665	24	engineering	engineering	PROPN
ejpam-3455	665	25	&	&	CCONJ
ejpam-3455	665	26	technology	technology	PROPN
ejpam-3455	665	27	,	,	PUNCT
ejpam-3455	665	28	karachi-75270	karachi-75270	INTJ
ejpam-3455	665	29	,	,	PUNCT
ejpam-3455	665	30	pakistan	pakistan	PROPN
ejpam-3455	665	31	and	and	CCONJ
ejpam-3455	665	32	also	also	ADV
ejpam-3455	665	33	would	would	AUX
ejpam-3455	665	34	like	like	VERB
ejpam-3455	665	35	to	to	PART
ejpam-3455	665	36	express	express	VERB
ejpam-3455	665	37	their	their	PRON
ejpam-3455	665	38	gratitude	gratitude	NOUN
ejpam-3455	665	39	to	to	ADP
ejpam-3455	665	40	higher	high	ADJ
ejpam-3455	665	41	education	education	NOUN
ejpam-3455	665	42	commission	commission	NOUN
ejpam-3455	665	43	of	of	ADP
ejpam-3455	665	44	pakistan	pakistan	PROPN
ejpam-3455	665	45	for	for	ADP
ejpam-3455	665	46	assisting	assist	VERB
ejpam-3455	665	47	and	and	CCONJ
ejpam-3455	665	48	facilitating	facilitate	VERB
ejpam-3455	665	49	this	this	DET
ejpam-3455	665	50	research	research	NOUN
ejpam-3455	665	51	work	work	NOUN
ejpam-3455	665	52	.	.	PUNCT
ejpam-3455	666	1	references	reference	NOUN
ejpam-3455	666	2	[	[	X
ejpam-3455	666	3	1	1	NUM
ejpam-3455	666	4	]	]	PUNCT
ejpam-3455	666	5	i.	i.	PROPN
ejpam-3455	666	6	mustafa	mustafa	PROPN
ejpam-3455	666	7	a.	a.	PROPN
ejpam-3455	666	8	akgul	akgul	PROPN
ejpam-3455	666	9	and	and	CCONJ
ejpam-3455	666	10	d.	d.	PROPN
ejpam-3455	666	11	baleanu	baleanu	PROPN
ejpam-3455	666	12	.	.	PUNCT
ejpam-3455	667	1	on	on	ADP
ejpam-3455	667	2	solutions	solution	NOUN
ejpam-3455	667	3	of	of	ADP
ejpam-3455	667	4	variable	variable	ADJ
ejpam-3455	667	5	-	-	PUNCT
ejpam-3455	667	6	order	order	NOUN
ejpam-3455	667	7	fractional	fractional	ADJ
ejpam-3455	667	8	differential	differential	ADJ
ejpam-3455	667	9	equations	equation	NOUN
ejpam-3455	667	10	.	.	PUNCT
ejpam-3455	668	1	int	int	NOUN
ejpam-3455	668	2	.	.	PUNCT
ejpam-3455	669	1	j.	j.	PROPN
ejpam-3455	669	2	opt	opt	PROPN
ejpam-3455	669	3	.	.	PUNCT
ejpam-3455	670	1	cont	cont	PROPN
ejpam-3455	670	2	:	:	PUNCT
ejpam-3455	670	3	theo	theo	PROPN
ejpam-3455	670	4	.	.	PUNCT
ejpam-3455	671	1	appl	appl	PROPN
ejpam-3455	671	2	.	.	PROPN
ejpam-3455	671	3	,	,	PUNCT
ejpam-3455	671	4	7:112–116	7:112–116	NUM
ejpam-3455	671	5	,	,	PUNCT
ejpam-3455	671	6	2017	2017	NUM
ejpam-3455	671	7	.	.	PUNCT
ejpam-3455	672	1	[	[	X
ejpam-3455	672	2	2	2	NUM
ejpam-3455	672	3	]	]	PUNCT
ejpam-3455	672	4	r.	r.	PROPN
ejpam-3455	672	5	k.	k.	PROPN
ejpam-3455	672	6	saxena	saxena	PROPN
ejpam-3455	672	7	a.	a.	PROPN
ejpam-3455	672	8	m.	m.	PROPN
ejpam-3455	672	9	mathai	mathai	PROPN
ejpam-3455	672	10	and	and	CCONJ
ejpam-3455	672	11	h.	h.	PROPN
ejpam-3455	672	12	j.	j.	PROPN
ejpam-3455	672	13	haubold	haubold	PROPN
ejpam-3455	672	14	.	.	PUNCT
ejpam-3455	673	1	the	the	DET
ejpam-3455	673	2	h	h	NOUN
ejpam-3455	673	3	-	-	PUNCT
ejpam-3455	673	4	functions	function	NOUN
ejpam-3455	673	5	:	:	PUNCT
ejpam-3455	673	6	theory	theory	NOUN
ejpam-3455	673	7	and	and	CCONJ
ejpam-3455	673	8	applications	application	NOUN
ejpam-3455	673	9	.	.	PUNCT
ejpam-3455	674	1	j.	j.	PROPN
ejpam-3455	674	2	assoc	assoc	PROPN
ejpam-3455	674	3	.	.	PUNCT
ejpam-3455	675	1	arab	arab	PROPN
ejpam-3455	675	2	univ	univ	PROPN
ejpam-3455	675	3	.	.	PUNCT
ejpam-3455	676	1	basic	basic	ADJ
ejpam-3455	676	2	appl	appl	PROPN
ejpam-3455	676	3	.	.	PUNCT
ejpam-3455	677	1	sci	sci	PROPN
ejpam-3455	677	2	.	.	PROPN
ejpam-3455	677	3	,	,	PUNCT
ejpam-3455	677	4	2010	2010	NUM
ejpam-3455	677	5	.	.	PUNCT
ejpam-3455	678	1	[	[	X
ejpam-3455	678	2	3	3	NUM
ejpam-3455	678	3	]	]	PUNCT
ejpam-3455	678	4	a.	a.	NOUN
ejpam-3455	678	5	akgul	akgul	NOUN
ejpam-3455	678	6	.	.	PUNCT
ejpam-3455	679	1	new	new	ADJ
ejpam-3455	679	2	reproducing	reproducing	NOUN
ejpam-3455	679	3	kernel	kernel	PROPN
ejpam-3455	679	4	functions	function	NOUN
ejpam-3455	679	5	.	.	PUNCT
ejpam-3455	680	1	math	math	NOUN
ejpam-3455	680	2	.	.	PUNCT
ejpam-3455	681	1	probl	probl	PROPN
ejpam-3455	681	2	.	.	PUNCT
ejpam-3455	682	1	eng	eng	PROPN
ejpam-3455	682	2	.	.	PROPN
ejpam-3455	682	3	,	,	PUNCT
ejpam-3455	682	4	158134	158134	NUM
ejpam-3455	682	5	,	,	PUNCT
ejpam-3455	682	6	2015	2015	NUM
ejpam-3455	682	7	.	.	PUNCT
ejpam-3455	683	1	[	[	X
ejpam-3455	683	2	4	4	NUM
ejpam-3455	683	3	]	]	PUNCT
ejpam-3455	683	4	a.	a.	NOUN
ejpam-3455	683	5	akgul	akgul	NOUN
ejpam-3455	683	6	and	and	CCONJ
ejpam-3455	683	7	k.	k.	PROPN
ejpam-3455	683	8	j.	j.	PROPN
ejpam-3455	683	9	j.	j.	PROPN
ejpam-3455	683	10	adem	adem	PROPN
ejpam-3455	683	11	.	.	PUNCT
ejpam-3455	684	1	numerical	numerical	ADJ
ejpam-3455	684	2	solutions	solution	NOUN
ejpam-3455	684	3	of	of	ADP
ejpam-3455	684	4	the	the	DET
ejpam-3455	684	5	second	second	ADJ
ejpam-3455	684	6	-	-	PUNCT
ejpam-3455	684	7	order	order	NOUN
ejpam-3455	684	8	one	one	NUM
ejpam-3455	684	9	-	-	PUNCT
ejpam-3455	684	10	dimensional	dimensional	ADJ
ejpam-3455	684	11	telegraph	telegraph	NOUN
ejpam-3455	684	12	equation	equation	NOUN
ejpam-3455	684	13	based	base	VERB
ejpam-3455	684	14	on	on	ADP
ejpam-3455	684	15	reproducing	reproduce	VERB
ejpam-3455	684	16	kernel	kernel	PROPN
ejpam-3455	684	17	hilbert	hilbert	PROPN
ejpam-3455	684	18	space	space	NOUN
ejpam-3455	684	19	method	method	NOUN
ejpam-3455	684	20	.	.	PUNCT
ejpam-3455	685	1	abstr	abstr	PROPN
ejpam-3455	685	2	.	.	PUNCT
ejpam-3455	685	3	appl	appl	PROPN
ejpam-3455	685	4	.	.	PUNCT
ejpam-3455	686	1	anal	anal	PROPN
ejpam-3455	686	2	.	.	PROPN
ejpam-3455	686	3	,	,	PUNCT
ejpam-3455	686	4	768963	768963	NUM
ejpam-3455	686	5	,	,	PUNCT
ejpam-3455	686	6	2013	2013	NUM
ejpam-3455	686	7	.	.	PUNCT
ejpam-3455	687	1	[	[	X
ejpam-3455	687	2	5	5	NUM
ejpam-3455	687	3	]	]	PUNCT
ejpam-3455	687	4	a.	a.	NOUN
ejpam-3455	687	5	akgul	akgul	NOUN
ejpam-3455	687	6	and	and	CCONJ
ejpam-3455	687	7	a.	a.	NOUN
ejpam-3455	687	8	kilicman	kilicman	NOUN
ejpam-3455	687	9	.	.	PUNCT
ejpam-3455	688	1	solving	solve	VERB
ejpam-3455	688	2	delay	delay	NOUN
ejpam-3455	688	3	differential	differential	ADJ
ejpam-3455	688	4	equations	equation	NOUN
ejpam-3455	688	5	by	by	ADP
ejpam-3455	688	6	an	an	DET
ejpam-3455	688	7	accurate	accurate	ADJ
ejpam-3455	688	8	method	method	NOUN
ejpam-3455	688	9	with	with	ADP
ejpam-3455	688	10	interpolation	interpolation	NOUN
ejpam-3455	688	11	.	.	PUNCT
ejpam-3455	689	1	abstr	abstr	PROPN
ejpam-3455	689	2	.	.	PUNCT
ejpam-3455	689	3	appl	appl	PROPN
ejpam-3455	689	4	.	.	PUNCT
ejpam-3455	690	1	anal	anal	PROPN
ejpam-3455	690	2	.	.	PROPN
ejpam-3455	690	3	,	,	PUNCT
ejpam-3455	690	4	676939	676939	NUM
ejpam-3455	690	5	,	,	PUNCT
ejpam-3455	690	6	2015	2015	NUM
ejpam-3455	690	7	.	.	PUNCT
ejpam-3455	691	1	[	[	X
ejpam-3455	691	2	6	6	NUM
ejpam-3455	691	3	]	]	PUNCT
ejpam-3455	691	4	a.	a.	NOUN
ejpam-3455	691	5	atangana	atangana	PROPN
ejpam-3455	691	6	and	and	CCONJ
ejpam-3455	691	7	j.	j.	PROPN
ejpam-3455	691	8	f.	f.	PROPN
ejpam-3455	691	9	gomez	gomez	PROPN
ejpam-3455	691	10	-	-	PUNCT
ejpam-3455	691	11	aguilar	aguilar	PROPN
ejpam-3455	691	12	.	.	PUNCT
ejpam-3455	692	1	numerical	numerical	PROPN
ejpam-3455	692	2	approximation	approximation	NOUN
ejpam-3455	692	3	of	of	ADP
ejpam-3455	692	4	riemann	riemann	PROPN
ejpam-3455	692	5	-	-	PUNCT
ejpam-3455	692	6	liouville	liouville	NOUN
ejpam-3455	692	7	definition	definition	NOUN
ejpam-3455	692	8	of	of	ADP
ejpam-3455	692	9	fractional	fractional	ADJ
ejpam-3455	692	10	derivative	derivative	NOUN
ejpam-3455	692	11	?	?	PUNCT
ejpam-3455	692	12	:	:	PUNCT
ejpam-3455	692	13	from	from	ADP
ejpam-3455	692	14	riemann	riemann	PROPN
ejpam-3455	692	15	-	-	PUNCT
ejpam-3455	692	16	liouville	liouville	NOUN
ejpam-3455	692	17	to	to	ADP
ejpam-3455	692	18	atangana	atangana	PROPN
ejpam-3455	692	19	-	-	PUNCT
ejpam-3455	692	20	baleanu	baleanu	PROPN
ejpam-3455	692	21	.	.	PUNCT
ejpam-3455	693	1	numer	numer	PROPN
ejpam-3455	693	2	.	.	PUNCT
ejpam-3455	694	1	methods	method	NOUN
ejpam-3455	694	2	partial	partial	ADJ
ejpam-3455	694	3	differ	differ	VERB
ejpam-3455	694	4	.	.	PUNCT
ejpam-3455	695	1	eq	eq	ADP
ejpam-3455	695	2	.	.	PROPN
ejpam-3455	695	3	,	,	PUNCT
ejpam-3455	695	4	34:15021523	34:15021523	NOUN
ejpam-3455	695	5	,	,	PUNCT
ejpam-3455	695	6	2018	2018	NUM
ejpam-3455	695	7	.	.	PUNCT
ejpam-3455	696	1	[	[	X
ejpam-3455	696	2	7	7	X
ejpam-3455	696	3	]	]	X
ejpam-3455	696	4	g.s	g.s	PROPN
ejpam-3455	696	5	.	.	PROPN
ejpam-3455	696	6	beavers	beavers	PROPN
ejpam-3455	696	7	and	and	CCONJ
ejpam-3455	696	8	d.d	d.d	PROPN
ejpam-3455	696	9	.	.	PROPN
ejpam-3455	696	10	joseph	joseph	PROPN
ejpam-3455	696	11	.	.	PUNCT
ejpam-3455	697	1	boundary	boundary	ADJ
ejpam-3455	697	2	conditions	condition	NOUN
ejpam-3455	697	3	at	at	ADP
ejpam-3455	697	4	a	a	DET
ejpam-3455	697	5	natural	natural	ADJ
ejpam-3455	697	6	permeable	permeable	ADJ
ejpam-3455	697	7	wall	wall	NOUN
ejpam-3455	697	8	.	.	PUNCT
ejpam-3455	698	1	j.	j.	PROPN
ejpam-3455	698	2	fluid	fluid	PROPN
ejpam-3455	698	3	mech	mech	PROPN
ejpam-3455	698	4	.	.	PUNCT
ejpam-3455	698	5	,	,	PUNCT
ejpam-3455	698	6	30:197–207	30:197–207	PROPN
ejpam-3455	698	7	,	,	PUNCT
ejpam-3455	698	8	1967	1967	NUM
ejpam-3455	698	9	.	.	PUNCT
ejpam-3455	699	1	[	[	X
ejpam-3455	699	2	8	8	NUM
ejpam-3455	699	3	]	]	X
ejpam-3455	699	4	c.	c.	PROPN
ejpam-3455	699	5	fetecau	fetecau	PROPN
ejpam-3455	699	6	c.	c.	PROPN
ejpam-3455	699	7	fetecau	fetecau	PROPN
ejpam-3455	699	8	,	,	PUNCT
ejpam-3455	699	9	m.	m.	NOUN
ejpam-3455	699	10	jamil	jamil	PROPN
ejpam-3455	699	11	and	and	CCONJ
ejpam-3455	699	12	i.	i.	PROPN
ejpam-3455	699	13	siddique	siddique	PROPN
ejpam-3455	699	14	.	.	PUNCT
ejpam-3455	700	1	a	a	DET
ejpam-3455	700	2	note	note	NOUN
ejpam-3455	700	3	on	on	ADP
ejpam-3455	700	4	the	the	DET
ejpam-3455	700	5	second	second	ADJ
ejpam-3455	700	6	problem	problem	NOUN
ejpam-3455	700	7	of	of	ADP
ejpam-3455	700	8	stokes	stoke	NOUN
ejpam-3455	700	9	for	for	ADP
ejpam-3455	700	10	maxwell	maxwell	PROPN
ejpam-3455	700	11	fluid	fluid	PROPN
ejpam-3455	700	12	.	.	PUNCT
ejpam-3455	701	1	int	int	NOUN
ejpam-3455	701	2	.	.	PUNCT
ejpam-3455	702	1	j.	j.	PROPN
ejpam-3455	702	2	non	non	ADJ
ejpam-3455	702	3	-	-	ADJ
ejpam-3455	702	4	linear	linear	ADJ
ejpam-3455	702	5	mech	mech	NOUN
ejpam-3455	702	6	.	.	PUNCT
ejpam-3455	702	7	,	,	PUNCT
ejpam-3455	702	8	44:1085–1090	44:1085–1090	PROPN
ejpam-3455	702	9	,	,	PUNCT
ejpam-3455	702	10	2009	2009	NUM
ejpam-3455	702	11	.	.	PUNCT
ejpam-3455	703	1	[	[	X
ejpam-3455	703	2	9	9	NUM
ejpam-3455	703	3	]	]	SYM
ejpam-3455	703	4	a.	a.	PROPN
ejpam-3455	703	5	rauf	rauf	PROPN
ejpam-3455	703	6	d.	d.	PROPN
ejpam-3455	703	7	vieru	vieru	PROPN
ejpam-3455	703	8	.	.	PUNCT
ejpam-3455	704	1	stokes	stokes	PROPN
ejpam-3455	704	2	flows	flow	NOUN
ejpam-3455	704	3	of	of	ADP
ejpam-3455	704	4	a	a	DET
ejpam-3455	704	5	maxwell	maxwell	PROPN
ejpam-3455	704	6	fluid	fluid	NOUN
ejpam-3455	704	7	with	with	ADP
ejpam-3455	704	8	wall	wall	NOUN
ejpam-3455	704	9	slip	slip	NOUN
ejpam-3455	704	10	condition	condition	NOUN
ejpam-3455	704	11	.	.	PUNCT
ejpam-3455	705	1	can	can	AUX
ejpam-3455	705	2	.	.	PUNCT
ejpam-3455	706	1	j.	j.	PROPN
ejpam-3455	706	2	phys	phys	PROPN
ejpam-3455	706	3	.	.	PUNCT
ejpam-3455	706	4	,	,	PUNCT
ejpam-3455	706	5	89:1061–1071	89:1061–1071	NUM
ejpam-3455	706	6	,	,	PUNCT
ejpam-3455	706	7	2011	2011	NUM
ejpam-3455	706	8	.	.	PUNCT
ejpam-3455	707	1	[	[	X
ejpam-3455	707	2	10	10	NUM
ejpam-3455	707	3	]	]	PUNCT
ejpam-3455	707	4	m.	m.	PROPN
ejpam-3455	707	5	e.	e.	PROPN
ejpam-3455	707	6	erdogan	erdogan	PROPN
ejpam-3455	707	7	.	.	PUNCT
ejpam-3455	708	1	a	a	DET
ejpam-3455	708	2	note	note	NOUN
ejpam-3455	708	3	on	on	ADP
ejpam-3455	708	4	an	an	DET
ejpam-3455	708	5	unsteady	unsteady	ADJ
ejpam-3455	708	6	flow	flow	NOUN
ejpam-3455	708	7	of	of	ADP
ejpam-3455	708	8	a	a	DET
ejpam-3455	708	9	viscous	viscous	ADJ
ejpam-3455	708	10	fluid	fluid	NOUN
ejpam-3455	708	11	due	due	ADP
ejpam-3455	708	12	to	to	ADP
ejpam-3455	708	13	an	an	DET
ejpam-3455	708	14	oscillating	oscillate	VERB
ejpam-3455	708	15	plane	plane	NOUN
ejpam-3455	708	16	wall	wall	NOUN
ejpam-3455	708	17	.	.	PUNCT
ejpam-3455	709	1	int	int	NOUN
ejpam-3455	709	2	.	.	PUNCT
ejpam-3455	710	1	j.	j.	PROPN
ejpam-3455	710	2	non	non	ADJ
ejpam-3455	710	3	-	-	ADJ
ejpam-3455	710	4	linear	linear	ADJ
ejpam-3455	710	5	mech	mech	NOUN
ejpam-3455	710	6	.	.	PUNCT
ejpam-3455	710	7	,	,	PUNCT
ejpam-3455	710	8	35:1–6	35:1–6	NUM
ejpam-3455	710	9	,	,	PUNCT
ejpam-3455	710	10	2000	2000	NUM
ejpam-3455	710	11	.	.	PUNCT
ejpam-3455	711	1	[	[	X
ejpam-3455	711	2	11	11	NUM
ejpam-3455	711	3	]	]	PUNCT
ejpam-3455	711	4	t.	t.	NOUN
ejpam-3455	711	5	fang	fang	X
ejpam-3455	711	6	and	and	CCONJ
ejpam-3455	711	7	a.	a.	PROPN
ejpam-3455	711	8	aziz	aziz	PROPN
ejpam-3455	711	9	.	.	PUNCT
ejpam-3455	712	1	viscous	viscous	ADJ
ejpam-3455	712	2	flow	flow	NOUN
ejpam-3455	712	3	with	with	ADP
ejpam-3455	712	4	second	second	ADJ
ejpam-3455	712	5	-	-	PUNCT
ejpam-3455	712	6	order	order	NOUN
ejpam-3455	712	7	slip	slip	VERB
ejpam-3455	712	8	velocity	velocity	NOUN
ejpam-3455	712	9	over	over	ADP
ejpam-3455	712	10	a	a	DET
ejpam-3455	712	11	stretching	stretch	VERB
ejpam-3455	712	12	sheet	sheet	NOUN
ejpam-3455	712	13	.	.	PUNCT
ejpam-3455	713	1	z.	z.	PROPN
ejpam-3455	713	2	naturforsch	naturforsch	PROPN
ejpam-3455	713	3	,	,	PUNCT
ejpam-3455	713	4	65:1087–1092	65:1087–1092	PROPN
ejpam-3455	713	5	,	,	PUNCT
ejpam-3455	713	6	2010	2010	NUM
ejpam-3455	713	7	.	.	PUNCT
ejpam-3455	714	1	[	[	X
ejpam-3455	714	2	12	12	NUM
ejpam-3455	714	3	]	]	X
ejpam-3455	714	4	r.	r.	PROPN
ejpam-3455	714	5	fenton	fenton	PROPN
ejpam-3455	714	6	.	.	PUNCT
ejpam-3455	715	1	the	the	DET
ejpam-3455	715	2	transient	transient	NOUN
ejpam-3455	715	3	for	for	ADP
ejpam-3455	715	4	stokes	stoke	NOUN
ejpam-3455	715	5	’	'	PUNCT
ejpam-3455	715	6	oscillating	oscillate	VERB
ejpam-3455	715	7	plane	plane	NOUN
ejpam-3455	715	8	:	:	PUNCT
ejpam-3455	715	9	a	a	DET
ejpam-3455	715	10	solution	solution	NOUN
ejpam-3455	715	11	in	in	ADP
ejpam-3455	715	12	terms	term	NOUN
ejpam-3455	715	13	of	of	ADP
ejpam-3455	715	14	tabulated	tabulate	VERB
ejpam-3455	715	15	functions	function	NOUN
ejpam-3455	715	16	.	.	PUNCT
ejpam-3455	716	1	j.	j.	PROPN
ejpam-3455	716	2	fluid	fluid	PROPN
ejpam-3455	716	3	.	.	PUNCT
ejpam-3455	716	4	mech	mech	PROPN
ejpam-3455	716	5	.	.	PROPN
ejpam-3455	716	6	,	,	PUNCT
ejpam-3455	716	7	31:810–825	31:810–825	PROPN
ejpam-3455	716	8	,	,	PUNCT
ejpam-3455	716	9	1968	1968	NUM
ejpam-3455	716	10	.	.	PUNCT
ejpam-3455	717	1	[	[	X
ejpam-3455	717	2	13	13	NUM
ejpam-3455	717	3	]	]	X
ejpam-3455	717	4	c.	c.	PROPN
ejpam-3455	717	5	calderon	calderon	PROPN
ejpam-3455	717	6	-	-	PUNCT
ejpam-3455	717	7	ramon	ramon	PROPN
ejpam-3455	717	8	i.	i.	PROPN
ejpam-3455	717	9	cruz	cruz	PROPN
ejpam-3455	717	10	-	-	PUNCT
ejpam-3455	717	11	orduna	orduna	PROPN
ejpam-3455	717	12	r.	r.	PROPN
ejpam-3455	717	13	f.	f.	PROPN
ejpam-3455	717	14	escobar	escobar	PROPN
ejpam-3455	717	15	-	-	PUNCT
ejpam-3455	717	16	jimenez	jimenez	PROPN
ejpam-3455	717	17	v.	v.	PROPN
ejpam-3455	717	18	h.	h.	PROPN
ejpam-3455	717	19	olivares	olivares	PROPN
ejpam-3455	717	20	-	-	PUNCT
ejpam-3455	717	21	peregrino	peregrino	PROPN
ejpam-3455	717	22	j.	j.	PROPN
ejpam-3455	717	23	f.	f.	PROPN
ejpam-3455	717	24	gomez	gomez	PROPN
ejpam-3455	717	25	-	-	PUNCT
ejpam-3455	717	26	aguilar	aguilar	PROPN
ejpam-3455	717	27	,	,	PUNCT
ejpam-3455	717	28	h.	h.	PROPN
ejpam-3455	717	29	yepez	yepez	PROPN
ejpam-3455	717	30	-	-	PUNCT
ejpam-3455	717	31	martinez	martinez	PROPN
ejpam-3455	717	32	.	.	PUNCT
ejpam-3455	718	1	modeling	modeling	NOUN
ejpam-3455	718	2	of	of	ADP
ejpam-3455	718	3	a	a	DET
ejpam-3455	718	4	mass	mass	ADJ
ejpam-3455	718	5	-	-	PUNCT
ejpam-3455	718	6	spring	spring	NOUN
ejpam-3455	718	7	-	-	PUNCT
ejpam-3455	718	8	damper	damper	NOUN
ejpam-3455	718	9	system	system	NOUN
ejpam-3455	718	10	by	by	ADP
ejpam-3455	718	11	fractional	fractional	ADJ
ejpam-3455	718	12	derivatives	derivative	NOUN
ejpam-3455	718	13	with	with	ADP
ejpam-3455	718	14	and	and	CCONJ
ejpam-3455	718	15	without	without	ADP
ejpam-3455	718	16	a	a	DET
ejpam-3455	718	17	singular	singular	ADJ
ejpam-3455	718	18	kernel	kernel	NOUN
ejpam-3455	718	19	.	.	PUNCT
ejpam-3455	719	1	adv	adv	PROPN
ejpam-3455	719	2	.	.	PUNCT
ejpam-3455	719	3	diff	diff	PROPN
ejpam-3455	719	4	.	.	PUNCT
ejpam-3455	720	1	eq	eq	ADP
ejpam-3455	720	2	,	,	PUNCT
ejpam-3455	720	3	17:6289	17:6289	NUM
ejpam-3455	720	4	–	–	PUNCT
ejpam-3455	720	5	6303	6303	NUM
ejpam-3455	720	6	,	,	PUNCT
ejpam-3455	720	7	2015	2015	NUM
ejpam-3455	720	8	.	.	PUNCT
ejpam-3455	721	1	references	reference	NOUN
ejpam-3455	721	2	1050	1050	NUM
ejpam-3455	721	3	[	[	X
ejpam-3455	721	4	14	14	NUM
ejpam-3455	721	5	]	]	PUNCT
ejpam-3455	721	6	j.	j.	PROPN
ejpam-3455	721	7	torres	torres	PROPN
ejpam-3455	721	8	-	-	PUNCT
ejpam-3455	721	9	jimenez	jimenez	PROPN
ejpam-3455	721	10	t.	t.	PROPN
ejpam-3455	721	11	cordova	cordova	PROPN
ejpam-3455	721	12	-	-	PUNCT
ejpam-3455	721	13	fraga	fraga	PROPN
ejpam-3455	721	14	r.	r.	PROPN
ejpam-3455	721	15	f.	f.	PROPN
ejpam-3455	721	16	escobar	escobar	PROPN
ejpam-3455	721	17	-	-	PUNCT
ejpam-3455	721	18	jimenez	jimenez	PROPN
ejpam-3455	721	19	j.	j.	PROPN
ejpam-3455	721	20	f.	f.	PROPN
ejpam-3455	721	21	gomez	gomez	PROPN
ejpam-3455	721	22	-	-	PUNCT
ejpam-3455	721	23	aguilar	aguilar	PROPN
ejpam-3455	721	24	,	,	PUNCT
ejpam-3455	721	25	h.	h.	PROPN
ejpam-3455	721	26	yepez	yepez	PROPN
ejpam-3455	721	27	-	-	PUNCT
ejpam-3455	721	28	martinez	martinez	PROPN
ejpam-3455	721	29	and	and	CCONJ
ejpam-3455	721	30	v.	v.	PROPN
ejpam-3455	721	31	h.	h.	PROPN
ejpam-3455	721	32	olivares	olivares	PROPN
ejpam-3455	721	33	-	-	PUNCT
ejpam-3455	721	34	peregrino	peregrino	PROPN
ejpam-3455	721	35	.	.	PUNCT
ejpam-3455	722	1	homotopy	homotopy	VERB
ejpam-3455	722	2	perturbation	perturbation	NOUN
ejpam-3455	722	3	transform	transform	NOUN
ejpam-3455	722	4	method	method	NOUN
ejpam-3455	722	5	for	for	ADP
ejpam-3455	722	6	nonlinear	nonlinear	ADJ
ejpam-3455	722	7	differential	differential	ADJ
ejpam-3455	722	8	equations	equation	NOUN
ejpam-3455	722	9	involving	involve	VERB
ejpam-3455	722	10	to	to	ADP
ejpam-3455	722	11	fractional	fractional	ADJ
ejpam-3455	722	12	operator	operator	NOUN
ejpam-3455	722	13	with	with	ADP
ejpam-3455	722	14	exponential	exponential	ADJ
ejpam-3455	722	15	kernel	kernel	NOUN
ejpam-3455	722	16	.	.	PUNCT
ejpam-3455	723	1	adv	adv	PROPN
ejpam-3455	723	2	.	.	PROPN
ejpam-3455	723	3	differ	differ	VERB
ejpam-3455	723	4	.	.	PUNCT
ejpam-3455	724	1	equations	equation	NOUN
ejpam-3455	724	2	.	.	PUNCT
ejpam-3455	724	3	,	,	PUNCT
ejpam-3455	724	4	68	68	NUM
ejpam-3455	724	5	,	,	PUNCT
ejpam-3455	724	6	2017	2017	NUM
ejpam-3455	724	7	.	.	PUNCT
ejpam-3455	725	1	[	[	X
ejpam-3455	725	2	15	15	NUM
ejpam-3455	725	3	]	]	X
ejpam-3455	725	4	m.	m.	NOUN
ejpam-3455	725	5	jamil	jamil	PROPN
ejpam-3455	725	6	.	.	PUNCT
ejpam-3455	726	1	effects	effect	NOUN
ejpam-3455	726	2	of	of	ADP
ejpam-3455	726	3	slip	slip	NOUN
ejpam-3455	726	4	on	on	ADP
ejpam-3455	726	5	oscillating	oscillate	VERB
ejpam-3455	726	6	fractionalized	fractionalize	VERB
ejpam-3455	726	7	maxwell	maxwell	PROPN
ejpam-3455	726	8	fluid	fluid	NOUN
ejpam-3455	726	9	.	.	PUNCT
ejpam-3455	727	1	nonlinear	nonlinear	PROPN
ejpam-3455	727	2	eng	eng	PROPN
ejpam-3455	727	3	.	.	PROPN
ejpam-3455	727	4	aop	aop	PROPN
ejpam-3455	727	5	,	,	PUNCT
ejpam-3455	727	6	5:25–36	5:25–36	NUM
ejpam-3455	727	7	,	,	PUNCT
ejpam-3455	727	8	2016	2016	NUM
ejpam-3455	727	9	.	.	PUNCT
ejpam-3455	728	1	[	[	X
ejpam-3455	728	2	16	16	NUM
ejpam-3455	728	3	]	]	PUNCT
ejpam-3455	728	4	z.	z.	PROPN
ejpam-3455	728	5	bano	bano	PROPN
ejpam-3455	728	6	k.	k.	PROPN
ejpam-3455	728	7	bhatti	bhatti	PROPN
ejpam-3455	728	8	and	and	CCONJ
ejpam-3455	728	9	a.	a.	NOUN
ejpam-3455	728	10	m.	m.	NOUN
ejpam-3455	728	11	siddiqui	siddiqui	PROPN
ejpam-3455	728	12	.	.	PUNCT
ejpam-3455	729	1	unsteady	unsteady	ADJ
ejpam-3455	729	2	stokes	stoke	NOUN
ejpam-3455	729	3	flow	flow	VERB
ejpam-3455	729	4	through	through	ADP
ejpam-3455	729	5	porous	porous	ADJ
ejpam-3455	729	6	channel	channel	NOUN
ejpam-3455	729	7	with	with	ADP
ejpam-3455	729	8	periodic	periodic	ADJ
ejpam-3455	729	9	suction	suction	NOUN
ejpam-3455	729	10	and	and	CCONJ
ejpam-3455	729	11	injection	injection	NOUN
ejpam-3455	729	12	with	with	ADP
ejpam-3455	729	13	slip	slip	NOUN
ejpam-3455	729	14	conditions	condition	NOUN
ejpam-3455	729	15	.	.	PUNCT
ejpam-3455	730	1	europ	europ	PROPN
ejpam-3455	730	2	.	.	PUNCT
ejpam-3455	731	1	j.	j.	PROPN
ejpam-3455	731	2	pure	pure	PROPN
ejpam-3455	731	3	appl	appl	PROPN
ejpam-3455	731	4	.	.	PUNCT
ejpam-3455	731	5	math	math	PROPN
ejpam-3455	731	6	.	.	PUNCT
ejpam-3455	731	7	,	,	PUNCT
ejpam-3455	732	1	11:937–945	11:937–945	NUM
ejpam-3455	732	2	,	,	PUNCT
ejpam-3455	732	3	2018	2018	NUM
ejpam-3455	732	4	.	.	PUNCT
ejpam-3455	733	1	[	[	X
ejpam-3455	733	2	17	17	NUM
ejpam-3455	733	3	]	]	X
ejpam-3455	733	4	f.	f.	PROPN
ejpam-3455	733	5	zhao	zhao	PROPN
ejpam-3455	733	6	l.	l.	PROPN
ejpam-3455	733	7	zheng	zheng	PROPN
ejpam-3455	733	8	and	and	CCONJ
ejpam-3455	733	9	x.	x.	PROPN
ejpam-3455	733	10	zhang	zhang	PROPN
ejpam-3455	733	11	.	.	PUNCT
ejpam-3455	734	1	exact	exact	ADJ
ejpam-3455	734	2	solutions	solution	NOUN
ejpam-3455	734	3	for	for	ADP
ejpam-3455	734	4	generalized	generalized	ADJ
ejpam-3455	734	5	maxwell	maxwell	PROPN
ejpam-3455	734	6	fluid	fluid	NOUN
ejpam-3455	734	7	flow	flow	NOUN
ejpam-3455	734	8	due	due	ADP
ejpam-3455	734	9	to	to	ADP
ejpam-3455	734	10	oscillatory	oscillatory	ADJ
ejpam-3455	734	11	and	and	CCONJ
ejpam-3455	734	12	constantly	constantly	ADV
ejpam-3455	734	13	accelerating	accelerate	VERB
ejpam-3455	734	14	plate	plate	NOUN
ejpam-3455	734	15	.	.	PUNCT
ejpam-3455	735	1	nonlinear	nonlinear	ADJ
ejpam-3455	735	2	anal	anal	PROPN
ejpam-3455	735	3	.	.	PUNCT
ejpam-3455	736	1	real	real	ADJ
ejpam-3455	736	2	world	world	NOUN
ejpam-3455	736	3	appl	appl	PROPN
ejpam-3455	736	4	.	.	PROPN
ejpam-3455	736	5	,	,	PUNCT
ejpam-3455	736	6	11:3744–3751	11:3744–3751	NUM
ejpam-3455	736	7	,	,	PUNCT
ejpam-3455	736	8	2010	2010	NUM
ejpam-3455	736	9	.	.	PUNCT
ejpam-3455	737	1	[	[	X
ejpam-3455	737	2	18	18	NUM
ejpam-3455	737	3	]	]	X
ejpam-3455	737	4	y.	y.	PROPN
ejpam-3455	737	5	liu	liu	PROPN
ejpam-3455	737	6	and	and	CCONJ
ejpam-3455	737	7	b.	b.	PROPN
ejpam-3455	737	8	guo	guo	PROPN
ejpam-3455	737	9	.	.	PUNCT
ejpam-3455	738	1	effects	effect	NOUN
ejpam-3455	738	2	of	of	ADP
ejpam-3455	738	3	second	second	ADJ
ejpam-3455	738	4	-	-	PUNCT
ejpam-3455	738	5	order	order	NOUN
ejpam-3455	738	6	slip	slip	NOUN
ejpam-3455	738	7	on	on	ADP
ejpam-3455	738	8	the	the	DET
ejpam-3455	738	9	flow	flow	NOUN
ejpam-3455	738	10	of	of	ADP
ejpam-3455	738	11	a	a	DET
ejpam-3455	738	12	fractional	fractional	ADJ
ejpam-3455	738	13	maxwell	maxwell	PROPN
ejpam-3455	738	14	mhd	mhd	PROPN
ejpam-3455	738	15	fluid	fluid	PROPN
ejpam-3455	738	16	.	.	PUNCT
ejpam-3455	739	1	j.	j.	PROPN
ejpam-3455	739	2	assoc	assoc	PROPN
ejpam-3455	739	3	.	.	PUNCT
ejpam-3455	740	1	arab	arab	PROPN
ejpam-3455	740	2	univ	univ	PROPN
ejpam-3455	740	3	.	.	PUNCT
ejpam-3455	741	1	basic	basic	ADJ
ejpam-3455	741	2	appl	appl	PROPN
ejpam-3455	741	3	.	.	PUNCT
ejpam-3455	742	1	sci	sci	PROPN
ejpam-3455	742	2	.	.	PROPN
ejpam-3455	742	3	,	,	PUNCT
ejpam-3455	742	4	24:232–241	24:232–241	PROPN
ejpam-3455	742	5	,	,	PUNCT
ejpam-3455	742	6	2017	2017	NUM
ejpam-3455	742	7	.	.	PUNCT
ejpam-3455	743	1	[	[	X
ejpam-3455	743	2	19	19	NUM
ejpam-3455	743	3	]	]	X
ejpam-3455	743	4	j.	j.	PROPN
ejpam-3455	743	5	c.	c.	PROPN
ejpam-3455	743	6	maxwell	maxwell	PROPN
ejpam-3455	743	7	.	.	PUNCT
ejpam-3455	744	1	on	on	ADP
ejpam-3455	744	2	the	the	DET
ejpam-3455	744	3	dynamical	dynamical	ADJ
ejpam-3455	744	4	theory	theory	NOUN
ejpam-3455	744	5	of	of	ADP
ejpam-3455	744	6	gases	gas	NOUN
ejpam-3455	744	7	.	.	PUNCT
ejpam-3455	745	1	philos	philos	PROPN
ejpam-3455	745	2	.	.	PUNCT
ejpam-3455	746	1	trans	trans	PROPN
ejpam-3455	746	2	.	.	PROPN
ejpam-3455	747	1	roy	roy	PROPN
ejpam-3455	747	2	.	.	PROPN
ejpam-3455	747	3	soc	soc	PROPN
ejpam-3455	747	4	.	.	PUNCT
ejpam-3455	748	1	lond	lond	PROPN
ejpam-3455	748	2	.	.	PUNCT
ejpam-3455	749	1	a	a	DET
ejpam-3455	749	2	,	,	PUNCT
ejpam-3455	749	3	157:26–78	157:26–78	NUM
ejpam-3455	749	4	,	,	PUNCT
ejpam-3455	749	5	1867	1867	NUM
ejpam-3455	749	6	.	.	PUNCT
ejpam-3455	750	1	[	[	X
ejpam-3455	750	2	20	20	NUM
ejpam-3455	750	3	]	]	PUNCT
ejpam-3455	750	4	m.	m.	NOUN
ejpam-3455	750	5	mooney	mooney	PROPN
ejpam-3455	750	6	.	.	PUNCT
ejpam-3455	751	1	explicit	explicit	ADJ
ejpam-3455	751	2	formulas	formula	NOUN
ejpam-3455	751	3	for	for	ADP
ejpam-3455	751	4	slip	slip	NOUN
ejpam-3455	751	5	and	and	CCONJ
ejpam-3455	751	6	fluidity	fluidity	NOUN
ejpam-3455	751	7	.	.	PUNCT
ejpam-3455	752	1	j.	j.	PROPN
ejpam-3455	752	2	rheology	rheology	PROPN
ejpam-3455	752	3	,	,	PUNCT
ejpam-3455	752	4	2:210–222	2:210–222	NUM
ejpam-3455	752	5	,	,	PUNCT
ejpam-3455	752	6	1931	1931	NUM
ejpam-3455	752	7	.	.	PUNCT
ejpam-3455	753	1	[	[	X
ejpam-3455	753	2	21	21	NUM
ejpam-3455	753	3	]	]	X
ejpam-3455	753	4	q.	q.	PROPN
ejpam-3455	753	5	m.	m.	PROPN
ejpam-3455	753	6	al	al	PROPN
ejpam-3455	753	7	-	-	PUNCT
ejpam-3455	753	8	mdallal	mdallal	PROPN
ejpam-3455	753	9	n.	n.	PROPN
ejpam-3455	753	10	v.	v.	ADP
ejpam-3455	753	11	ganesh	ganesh	PROPN
ejpam-3455	753	12	and	and	CCONJ
ejpam-3455	753	13	a.	a.	PROPN
ejpam-3455	753	14	j.	j.	PROPN
ejpam-3455	753	15	chamkha	chamkha	PROPN
ejpam-3455	753	16	.	.	PUNCT
ejpam-3455	754	1	a	a	DET
ejpam-3455	754	2	numerical	numerical	ADJ
ejpam-3455	754	3	investigation	investigation	NOUN
ejpam-3455	754	4	of	of	ADP
ejpam-3455	754	5	newtonian	newtonian	ADJ
ejpam-3455	754	6	fluid	fluid	ADJ
ejpam-3455	754	7	flow	flow	NOUN
ejpam-3455	754	8	with	with	ADP
ejpam-3455	754	9	buoyancy	buoyancy	NOUN
ejpam-3455	754	10	,	,	PUNCT
ejpam-3455	754	11	thermal	thermal	ADJ
ejpam-3455	754	12	slip	slip	NOUN
ejpam-3455	754	13	of	of	ADP
ejpam-3455	754	14	order	order	NOUN
ejpam-3455	754	15	two	two	NUM
ejpam-3455	754	16	and	and	CCONJ
ejpam-3455	754	17	entropy	entropy	NOUN
ejpam-3455	754	18	generation	generation	NOUN
ejpam-3455	754	19	.	.	PUNCT
ejpam-3455	755	1	case	case	NOUN
ejpam-3455	755	2	stud	stud	NOUN
ejpam-3455	755	3	.	.	PUNCT
ejpam-3455	756	1	thermal	thermal	ADJ
ejpam-3455	756	2	engin	engin	PROPN
ejpam-3455	756	3	.	.	PUNCT
ejpam-3455	756	4	,	,	PUNCT
ejpam-3455	756	5	13	13	NUM
ejpam-3455	756	6	,	,	PUNCT
ejpam-3455	756	7	2018	2018	NUM
ejpam-3455	756	8	.	.	PUNCT
ejpam-3455	757	1	[	[	X
ejpam-3455	757	2	22	22	NUM
ejpam-3455	757	3	]	]	PUNCT
ejpam-3455	757	4	r.	r.	PROPN
ejpam-3455	757	5	nazar	nazar	PROPN
ejpam-3455	757	6	r.	r.	PROPN
ejpam-3455	757	7	sharma	sharma	PROPN
ejpam-3455	757	8	,	,	PUNCT
ejpam-3455	757	9	a.	a.	NOUN
ejpam-3455	757	10	ishak	ishak	NOUN
ejpam-3455	757	11	and	and	CCONJ
ejpam-3455	757	12	i.	i.	PROPN
ejpam-3455	757	13	pop	pop	PROPN
ejpam-3455	757	14	.	.	PUNCT
ejpam-3455	758	1	second	second	ADJ
ejpam-3455	758	2	order	order	NOUN
ejpam-3455	758	3	slip	slip	NOUN
ejpam-3455	758	4	flow	flow	NOUN
ejpam-3455	758	5	of	of	ADP
ejpam-3455	758	6	cu	cu	NOUN
ejpam-3455	758	7	-	-	PUNCT
ejpam-3455	758	8	water	water	NOUN
ejpam-3455	758	9	nanofluid	nanofluid	NOUN
ejpam-3455	758	10	over	over	ADP
ejpam-3455	758	11	a	a	DET
ejpam-3455	758	12	stretching	stretch	VERB
ejpam-3455	758	13	sheet	sheet	NOUN
ejpam-3455	758	14	with	with	ADP
ejpam-3455	758	15	heat	heat	NOUN
ejpam-3455	758	16	transfer	transfer	NOUN
ejpam-3455	758	17	.	.	PUNCT
ejpam-3455	759	1	wseas	wseas	PROPN
ejpam-3455	759	2	trans	trans	PROPN
ejpam-3455	759	3	.	.	PROPN
ejpam-3455	759	4	fluid	fluid	ADJ
ejpam-3455	759	5	mech	mech	NOUN
ejpam-3455	759	6	.	.	PUNCT
ejpam-3455	759	7	,	,	PUNCT
ejpam-3455	760	1	7:125–134	7:125–134	NUM
ejpam-3455	760	2	,	,	PUNCT
ejpam-3455	760	3	2014	2014	NUM
ejpam-3455	760	4	.	.	PUNCT
ejpam-3455	761	1	[	[	X
ejpam-3455	761	2	23	23	NUM
ejpam-3455	761	3	]	]	PUNCT
ejpam-3455	761	4	k.	k.	PROPN
ejpam-3455	761	5	r.	r.	PROPN
ejpam-3455	761	6	rajagopal	rajagopal	PROPN
ejpam-3455	761	7	.	.	PUNCT
ejpam-3455	762	1	mechanics	mechanic	NOUN
ejpam-3455	762	2	of	of	ADP
ejpam-3455	762	3	non	non	ADJ
ejpam-3455	762	4	-	-	ADJ
ejpam-3455	762	5	newtonian	newtonian	ADJ
ejpam-3455	762	6	fluids	fluid	NOUN
ejpam-3455	762	7	,	,	PUNCT
ejpam-3455	762	8	recent	recent	ADJ
ejpam-3455	762	9	developments	development	NOUN
ejpam-3455	762	10	in	in	ADP
ejpam-3455	762	11	theoretical	theoretical	ADJ
ejpam-3455	762	12	fluids	fluid	NOUN
ejpam-3455	762	13	mechanics	mechanic	NOUN
ejpam-3455	762	14	.	.	PUNCT
ejpam-3455	763	1	pirman	pirman	NOUN
ejpam-3455	763	2	res	re	NOUN
ejpam-3455	763	3	.	.	PUNCT
ejpam-3455	764	1	notes	note	VERB
ejpam-3455	764	2	math	math	PROPN
ejpam-3455	764	3	.	.	PUNCT
ejpam-3455	765	1	longman	longman	PROPN
ejpam-3455	765	2	new	new	PROPN
ejpam-3455	765	3	york	york	PROPN
ejpam-3455	765	4	,	,	PUNCT
ejpam-3455	765	5	291:129–162	291:129–162	NUM
ejpam-3455	765	6	,	,	PUNCT
ejpam-3455	765	7	1993	1993	NUM
ejpam-3455	765	8	.	.	PUNCT
ejpam-3455	766	1	[	[	X
ejpam-3455	766	2	24	24	NUM
ejpam-3455	766	3	]	]	PUNCT
ejpam-3455	766	4	q.	q.	PROPN
ejpam-3455	766	5	m.	m.	PROPN
ejpam-3455	766	6	al	al	PROPN
ejpam-3455	766	7	-	-	PUNCT
ejpam-3455	766	8	madallal	madallal	PROPN
ejpam-3455	766	9	s.	s.	PROPN
ejpam-3455	766	10	aman	aman	PROPN
ejpam-3455	766	11	and	and	CCONJ
ejpam-3455	766	12	i.	i.	PROPN
ejpam-3455	766	13	khan	khan	PROPN
ejpam-3455	766	14	.	.	PUNCT
ejpam-3455	767	1	heat	heat	NOUN
ejpam-3455	767	2	transfer	transfer	NOUN
ejpam-3455	767	3	and	and	CCONJ
ejpam-3455	767	4	second	second	ADJ
ejpam-3455	767	5	order	order	NOUN
ejpam-3455	767	6	slip	slip	VERB
ejpam-3455	767	7	effect	effect	NOUN
ejpam-3455	767	8	on	on	ADP
ejpam-3455	767	9	mhd	mhd	NOUN
ejpam-3455	767	10	flow	flow	NOUN
ejpam-3455	767	11	of	of	ADP
ejpam-3455	767	12	fractional	fractional	ADJ
ejpam-3455	767	13	maxwell	maxwell	PROPN
ejpam-3455	767	14	fluid	fluid	NOUN
ejpam-3455	767	15	in	in	ADP
ejpam-3455	767	16	a	a	DET
ejpam-3455	767	17	porous	porous	ADJ
ejpam-3455	767	18	medium	medium	NOUN
ejpam-3455	767	19	.	.	PUNCT
ejpam-3455	767	20	2018	2018	NUM
ejpam-3455	767	21	.	.	PUNCT
ejpam-3455	768	1	[	[	X
ejpam-3455	768	2	25	25	NUM
ejpam-3455	768	3	]	]	X
ejpam-3455	768	4	g.	g.	PROPN
ejpam-3455	768	5	g.	g.	PROPN
ejpam-3455	768	6	stokes	stokes	PROPN
ejpam-3455	768	7	.	.	PUNCT
ejpam-3455	769	1	on	on	ADP
ejpam-3455	769	2	the	the	DET
ejpam-3455	769	3	effect	effect	NOUN
ejpam-3455	769	4	of	of	ADP
ejpam-3455	769	5	the	the	DET
ejpam-3455	769	6	rotation	rotation	NOUN
ejpam-3455	769	7	of	of	ADP
ejpam-3455	769	8	cylinders	cylinder	NOUN
ejpam-3455	769	9	and	and	CCONJ
ejpam-3455	769	10	spheres	sphere	NOUN
ejpam-3455	769	11	about	about	ADP
ejpam-3455	769	12	their	their	PRON
ejpam-3455	769	13	axis	axis	NOUN
ejpam-3455	769	14	in	in	ADP
ejpam-3455	769	15	increasing	increase	VERB
ejpam-3455	769	16	the	the	DET
ejpam-3455	769	17	logarithmic	logarithmic	ADJ
ejpam-3455	769	18	decrement	decrement	NOUN
ejpam-3455	769	19	of	of	ADP
ejpam-3455	769	20	the	the	DET
ejpam-3455	769	21	arc	arc	NOUN
ejpam-3455	769	22	of	of	ADP
ejpam-3455	769	23	vibration	vibration	NOUN
ejpam-3455	769	24	.	.	PUNCT
ejpam-3455	770	1	cambridge	cambridge	PROPN
ejpam-3455	770	2	university	university	PROPN
ejpam-3455	770	3	press	press	NOUN
ejpam-3455	770	4	,	,	PUNCT
ejpam-3455	770	5	1886	1886	NUM
ejpam-3455	770	6	.	.	PUNCT
ejpam-3455	771	1	[	[	X
ejpam-3455	771	2	26	26	NUM
ejpam-3455	771	3	]	]	PUNCT
ejpam-3455	771	4	j.	j.	PROPN
ejpam-3455	771	5	f.	f.	PROPN
ejpam-3455	771	6	gomez	gomez	PROPN
ejpam-3455	771	7	-	-	PUNCT
ejpam-3455	771	8	aguilar	aguilar	PROPN
ejpam-3455	771	9	v.	v.	ADP
ejpam-3455	771	10	f.	f.	PROPN
ejpam-3455	771	11	morales	morales	PROPN
ejpam-3455	771	12	-	-	PUNCT
ejpam-3455	771	13	delgado	delgado	PROPN
ejpam-3455	771	14	and	and	CCONJ
ejpam-3455	771	15	m.	m.	NOUN
ejpam-3455	771	16	a.	a.	PROPN
ejpam-3455	771	17	taneco	taneco	PROPN
ejpam-3455	771	18	-	-	PUNCT
ejpam-3455	771	19	hernandez	hernandez	PROPN
ejpam-3455	771	20	.	.	PUNCT
ejpam-3455	772	1	analytical	analytical	ADJ
ejpam-3455	772	2	solution	solution	NOUN
ejpam-3455	772	3	of	of	ADP
ejpam-3455	772	4	the	the	DET
ejpam-3455	772	5	time	time	NOUN
ejpam-3455	772	6	fractional	fractional	ADJ
ejpam-3455	772	7	diffusion	diffusion	NOUN
ejpam-3455	772	8	equation	equation	NOUN
ejpam-3455	772	9	and	and	CCONJ
ejpam-3455	772	10	fractional	fractional	ADJ
ejpam-3455	772	11	convection	convection	NOUN
ejpam-3455	772	12	-	-	PUNCT
ejpam-3455	772	13	diffusion	diffusion	NOUN
ejpam-3455	772	14	equation	equation	NOUN
ejpam-3455	772	15	.	.	PUNCT
ejpam-3455	773	1	rev	rev	PROPN
ejpam-3455	773	2	.	.	PROPN
ejpam-3455	773	3	mex	mex	PROPN
ejpam-3455	773	4	.	.	PUNCT
ejpam-3455	774	1	fisica	fisica	PROPN
ejpam-3455	774	2	,	,	PUNCT
ejpam-3455	774	3	65:8288	65:8288	NUM
ejpam-3455	774	4	,	,	PUNCT
ejpam-3455	774	5	2019	2019	NUM
ejpam-3455	774	6	.	.	PUNCT
ejpam-3455	775	1	references	reference	NOUN
ejpam-3455	775	2	1051	1051	NUM
ejpam-3455	775	3	[	[	X
ejpam-3455	775	4	27	27	NUM
ejpam-3455	775	5	]	]	X
ejpam-3455	775	6	y.	y.	PROPN
ejpam-3455	775	7	yin	yin	PROPN
ejpam-3455	775	8	and	and	CCONJ
ejpam-3455	775	9	k.q	k.q	PROPN
ejpam-3455	775	10	.	.	PROPN
ejpam-3455	775	11	zhu	zhu	PROPN
ejpam-3455	775	12	.	.	PUNCT
ejpam-3455	776	1	oscillating	oscillate	VERB
ejpam-3455	776	2	flow	flow	NOUN
ejpam-3455	776	3	of	of	ADP
ejpam-3455	776	4	a	a	DET
ejpam-3455	776	5	viscoelastic	viscoelastic	ADJ
ejpam-3455	776	6	fluid	fluid	NOUN
ejpam-3455	776	7	in	in	ADP
ejpam-3455	776	8	a	a	DET
ejpam-3455	776	9	pipe	pipe	NOUN
ejpam-3455	776	10	with	with	ADP
ejpam-3455	776	11	the	the	DET
ejpam-3455	776	12	fractional	fractional	PROPN
ejpam-3455	776	13	maxwell	maxwell	PROPN
ejpam-3455	776	14	model	model	PROPN
ejpam-3455	776	15	.	.	PUNCT
ejpam-3455	777	1	appl	appl	PROPN
ejpam-3455	777	2	.	.	PROPN
ejpam-3455	777	3	math	math	PROPN
ejpam-3455	777	4	.	.	PUNCT
ejpam-3455	778	1	comput	comput	NOUN
ejpam-3455	778	2	.	.	PUNCT
ejpam-3455	778	3	,	,	PUNCT
ejpam-3455	778	4	173	173	NUM
ejpam-3455	778	5	,	,	PUNCT
ejpam-3455	778	6	2006	2006	NUM
ejpam-3455	778	7	.	.	PUNCT
ejpam-3455	779	1	[	[	X
ejpam-3455	779	2	28	28	NUM
ejpam-3455	779	3	]	]	X
ejpam-3455	779	4	r.	r.	PROPN
ejpam-3455	779	5	u.	u.	PROPN
ejpam-3455	779	6	haq	haq	PROPN
ejpam-3455	779	7	z.	z.	PROPN
ejpam-3455	779	8	h.	h.	PROPN
ejpam-3455	779	9	khan	khan	PROPN
ejpam-3455	779	10	,	,	PUNCT
ejpam-3455	779	11	m.	m.	NOUN
ejpam-3455	779	12	qasim	qasim	PROPN
ejpam-3455	779	13	and	and	CCONJ
ejpam-3455	779	14	q.	q.	PROPN
ejpam-3455	779	15	m.	m.	PROPN
ejpam-3455	779	16	al	al	PROPN
ejpam-3455	779	17	-	-	PUNCT
ejpam-3455	779	18	mdallal	mdallal	PROPN
ejpam-3455	779	19	.	.	PUNCT
ejpam-3455	780	1	closed	close	VERB
ejpam-3455	780	2	form	form	NOUN
ejpam-3455	780	3	dual	dual	ADJ
ejpam-3455	780	4	nature	nature	NOUN
ejpam-3455	780	5	solutions	solution	NOUN
ejpam-3455	780	6	of	of	ADP
ejpam-3455	780	7	fluid	fluid	ADJ
ejpam-3455	780	8	flow	flow	NOUN
ejpam-3455	780	9	and	and	CCONJ
ejpam-3455	780	10	heat	heat	NOUN
ejpam-3455	780	11	transfer	transfer	NOUN
ejpam-3455	780	12	over	over	ADP
ejpam-3455	780	13	a	a	DET
ejpam-3455	780	14	stretching	stretch	VERB
ejpam-3455	780	15	/	/	SYM
ejpam-3455	780	16	shrinking	shrink	VERB
ejpam-3455	780	17	sheet	sheet	NOUN
ejpam-3455	780	18	in	in	ADP
ejpam-3455	780	19	a	a	DET
ejpam-3455	780	20	porous	porous	ADJ
ejpam-3455	780	21	medium	medium	NOUN
ejpam-3455	780	22	.	.	PUNCT
ejpam-3455	781	1	chin	chin	PROPN
ejpam-3455	781	2	.	.	PUNCT
ejpam-3455	782	1	j.	j.	PROPN
ejpam-3455	782	2	phy	phy	PROPN
ejpam-3455	782	3	.	.	PROPN
ejpam-3455	782	4	,	,	PUNCT
ejpam-3455	782	5	55:1284–1293	55:1284–1293	NUM
ejpam-3455	782	6	,	,	PUNCT
ejpam-3455	782	7	2017	2017	NUM
ejpam-3455	782	8	.	.	PUNCT
ejpam-3455	783	1	[	[	X
ejpam-3455	783	2	29	29	NUM
ejpam-3455	783	3	]	]	X
ejpam-3455	783	4	h.	h.	NOUN
ejpam-3455	783	5	zakia	zakia	PROPN
ejpam-3455	783	6	.	.	PUNCT
ejpam-3455	784	1	multiple	multiple	ADJ
ejpam-3455	784	2	solutions	solution	NOUN
ejpam-3455	784	3	of	of	ADP
ejpam-3455	784	4	steady	steady	ADJ
ejpam-3455	784	5	mhd	mhd	NOUN
ejpam-3455	784	6	flow	flow	NOUN
ejpam-3455	784	7	of	of	ADP
ejpam-3455	784	8	dilatant	dilatant	ADJ
ejpam-3455	784	9	fluids	fluid	NOUN
ejpam-3455	784	10	.	.	PUNCT
ejpam-3455	785	1	european	european	ADJ
ejpam-3455	785	2	journal	journal	PROPN
ejpam-3455	785	3	of	of	ADP
ejpam-3455	785	4	pure	pure	ADJ
ejpam-3455	785	5	and	and	CCONJ
ejpam-3455	785	6	applied	applied	ADJ
ejpam-3455	785	7	mathematics	mathematic	NOUN
ejpam-3455	785	8	,	,	PUNCT
ejpam-3455	785	9	1:11–20	1:11–20	NUM
ejpam-3455	785	10	,	,	PUNCT
ejpam-3455	785	11	2008	2008	NUM
ejpam-3455	785	12	.	.	PUNCT
ejpam-3455	786	1	[	[	X
ejpam-3455	786	2	30	30	NUM
ejpam-3455	786	3	]	]	X
ejpam-3455	786	4	l.	l.	PROPN
ejpam-3455	786	5	zheng	zheng	PROPN
ejpam-3455	786	6	and	and	CCONJ
ejpam-3455	786	7	x.	x.	PROPN
ejpam-3455	786	8	zhang	zhang	PROPN
ejpam-3455	786	9	.	.	PUNCT
ejpam-3455	787	1	modeling	modeling	NOUN
ejpam-3455	787	2	and	and	CCONJ
ejpam-3455	787	3	analysis	analysis	NOUN
ejpam-3455	787	4	of	of	ADP
ejpam-3455	787	5	modern	modern	ADJ
ejpam-3455	787	6	fluid	fluid	ADJ
ejpam-3455	787	7	problems	problem	NOUN
ejpam-3455	787	8	.	.	PUNCT
ejpam-3455	788	1	academic	academic	ADJ
ejpam-3455	788	2	press	press	NOUN
ejpam-3455	788	3	,	,	PUNCT
ejpam-3455	788	4	2017	2017	NUM
ejpam-3455	788	5	.	.	PUNCT
