id	sid	tid	token	lemma	pos
ejpam-6198	1	1	european	european	PROPN
ejpam-6198	1	2	journal	journal	PROPN
ejpam-6198	1	3	of	of	ADP
ejpam-6198	1	4	pure	pure	ADJ
ejpam-6198	1	5	and	and	CCONJ
ejpam-6198	1	6	applied	applied	ADJ
ejpam-6198	1	7	mathematics	mathematic	NOUN
ejpam-6198	1	8	2025	2025	NUM
ejpam-6198	1	9	,	,	PUNCT
ejpam-6198	1	10	vol	vol	NOUN
ejpam-6198	1	11	.	.	PROPN
ejpam-6198	1	12	18	18	NUM
ejpam-6198	1	13	,	,	PUNCT
ejpam-6198	1	14	issue	issue	NOUN
ejpam-6198	1	15	4	4	NUM
ejpam-6198	1	16	,	,	PUNCT
ejpam-6198	1	17	article	article	NOUN
ejpam-6198	1	18	number	number	NOUN
ejpam-6198	1	19	6198	6198	NUM
ejpam-6198	1	20	issn	issn	VERB
ejpam-6198	1	21	1307	1307	NUM
ejpam-6198	1	22	-	-	SYM
ejpam-6198	1	23	5543	5543	NUM
ejpam-6198	1	24	–	–	PUNCT
ejpam-6198	1	25	ejpam.com	ejpam.com	X
ejpam-6198	1	26	published	publish	VERB
ejpam-6198	1	27	by	by	ADP
ejpam-6198	1	28	new	new	PROPN
ejpam-6198	1	29	york	york	PROPN
ejpam-6198	1	30	business	business	PROPN
ejpam-6198	1	31	global	global	ADJ
ejpam-6198	1	32	helical	helical	ADJ
ejpam-6198	1	33	estimation	estimation	NOUN
ejpam-6198	1	34	of	of	ADP
ejpam-6198	1	35	atangana	atangana	PROPN
ejpam-6198	1	36	-	-	PUNCT
ejpam-6198	1	37	baleanu	baleanu	PROPN
ejpam-6198	1	38	-	-	PUNCT
ejpam-6198	1	39	caputo	caputo	PROPN
ejpam-6198	1	40	fractionalized	fractionalize	VERB
ejpam-6198	1	41	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-6198	1	42	second	second	ADJ
ejpam-6198	1	43	grade	grade	NOUN
ejpam-6198	1	44	fluid	fluid	NOUN
ejpam-6198	1	45	for	for	ADP
ejpam-6198	1	46	generalized	generalized	ADJ
ejpam-6198	1	47	boundary	boundary	ADJ
ejpam-6198	1	48	conditions	condition	NOUN
ejpam-6198	1	49	under	under	ADP
ejpam-6198	1	50	porous	porous	ADJ
ejpam-6198	1	51	environment	environment	NOUN
ejpam-6198	1	52	muhammad	muhammad	PROPN
ejpam-6198	1	53	zafarullah1	zafarullah1	PROPN
ejpam-6198	1	54	,	,	PUNCT
ejpam-6198	1	55	ilyas	ilyas	PROPN
ejpam-6198	1	56	khan2,3,4,∗	khan2,3,4,∗	PROPN
ejpam-6198	1	57	,	,	PUNCT
ejpam-6198	1	58	kanwal	kanwal	PROPN
ejpam-6198	1	59	abid5	abid5	PROPN
ejpam-6198	1	60	,	,	PUNCT
ejpam-6198	1	61	muhammad	muhammad	PROPN
ejpam-6198	1	62	jamil1,6	jamil1,6	PROPN
ejpam-6198	1	63	,	,	PUNCT
ejpam-6198	1	64	a.	a.	PROPN
ejpam-6198	1	65	b.	b.	PROPN
ejpam-6198	2	1	albidah2,∗	albidah2,∗	PROPN
ejpam-6198	2	2	,	,	PUNCT
ejpam-6198	2	3	thoraya	thoraya	NOUN
ejpam-6198	2	4	n.	n.	PROPN
ejpam-6198	2	5	alharthi7	alharthi7	PROPN
ejpam-6198	2	6	,	,	PUNCT
ejpam-6198	2	7	a.	a.	PROPN
ejpam-6198	2	8	f.	f.	PROPN
ejpam-6198	2	9	aljohani8	aljohani8	PROPN
ejpam-6198	2	10	,	,	PUNCT
ejpam-6198	2	11	wei	wei	PROPN
ejpam-6198	2	12	sin	sin	PROPN
ejpam-6198	2	13	koh9	koh9	PROPN
ejpam-6198	2	14	1	1	NUM
ejpam-6198	2	15	department	department	NOUN
ejpam-6198	2	16	of	of	ADP
ejpam-6198	2	17	mathematics	mathematic	NOUN
ejpam-6198	2	18	,	,	PUNCT
ejpam-6198	2	19	university	university	PROPN
ejpam-6198	2	20	of	of	ADP
ejpam-6198	2	21	karachi	karachi	PROPN
ejpam-6198	2	22	,	,	PUNCT
ejpam-6198	2	23	karachi-75270	karachi-75270	PROPN
ejpam-6198	2	24	,	,	PUNCT
ejpam-6198	2	25	pakistan	pakistan	PROPN
ejpam-6198	2	26	2	2	NUM
ejpam-6198	2	27	department	department	NOUN
ejpam-6198	2	28	of	of	ADP
ejpam-6198	2	29	mathematics	mathematic	NOUN
ejpam-6198	2	30	,	,	PUNCT
ejpam-6198	2	31	college	college	NOUN
ejpam-6198	2	32	of	of	ADP
ejpam-6198	2	33	science	science	PROPN
ejpam-6198	2	34	al	al	PROPN
ejpam-6198	2	35	-	-	PUNCT
ejpam-6198	2	36	zulfi	zulfi	PROPN
ejpam-6198	2	37	,	,	PUNCT
ejpam-6198	2	38	majmaah	majmaah	PROPN
ejpam-6198	2	39	university	university	PROPN
ejpam-6198	2	40	,	,	PUNCT
ejpam-6198	2	41	al	al	PROPN
ejpam-6198	2	42	-	-	PUNCT
ejpam-6198	2	43	majmaah	majmaah	PROPN
ejpam-6198	2	44	11952	11952	NUM
ejpam-6198	2	45	,	,	PUNCT
ejpam-6198	2	46	saudi	saudi	PROPN
ejpam-6198	2	47	arabia	arabia	PROPN
ejpam-6198	2	48	3	3	NUM
ejpam-6198	2	49	hourani	hourani	NOUN
ejpam-6198	2	50	center	center	NOUN
ejpam-6198	2	51	for	for	ADP
ejpam-6198	2	52	applied	apply	VERB
ejpam-6198	2	53	scientific	scientific	ADJ
ejpam-6198	2	54	research	research	NOUN
ejpam-6198	2	55	,	,	PUNCT
ejpam-6198	2	56	al	al	PROPN
ejpam-6198	2	57	-	-	PUNCT
ejpam-6198	2	58	ahliyya	ahliyya	PROPN
ejpam-6198	2	59	amman	amman	PROPN
ejpam-6198	2	60	university	university	PROPN
ejpam-6198	2	61	,	,	PUNCT
ejpam-6198	2	62	amman	amman	PROPN
ejpam-6198	2	63	,	,	PUNCT
ejpam-6198	2	64	jordan	jordan	PROPN
ejpam-6198	2	65	4	4	NUM
ejpam-6198	2	66	department	department	PROPN
ejpam-6198	2	67	of	of	ADP
ejpam-6198	2	68	mathematical	mathematical	ADJ
ejpam-6198	2	69	sciences	sciences	PROPN
ejpam-6198	2	70	,	,	PUNCT
ejpam-6198	2	71	saveetha	saveetha	PROPN
ejpam-6198	2	72	school	school	NOUN
ejpam-6198	2	73	of	of	ADP
ejpam-6198	2	74	engineering	engineering	NOUN
ejpam-6198	2	75	,	,	PUNCT
ejpam-6198	2	76	simats	simat	NOUN
ejpam-6198	2	77	,	,	PUNCT
ejpam-6198	2	78	chennai	chennai	PROPN
ejpam-6198	2	79	,	,	PUNCT
ejpam-6198	2	80	tamil	tamil	PROPN
ejpam-6198	2	81	nadu	nadu	PROPN
ejpam-6198	2	82	,	,	PUNCT
ejpam-6198	2	83	india	india	PROPN
ejpam-6198	2	84	5	5	NUM
ejpam-6198	2	85	department	department	NOUN
ejpam-6198	2	86	of	of	ADP
ejpam-6198	2	87	mathematics	mathematics	PROPN
ejpam-6198	2	88	,	,	PUNCT
ejpam-6198	2	89	jinnah	jinnah	PROPN
ejpam-6198	2	90	university	university	PROPN
ejpam-6198	2	91	for	for	ADP
ejpam-6198	2	92	women	woman	NOUN
ejpam-6198	2	93	,	,	PUNCT
ejpam-6198	2	94	nazimabad	nazimabad	PROPN
ejpam-6198	2	95	,	,	PUNCT
ejpam-6198	2	96	karachi	karachi	PROPN
ejpam-6198	2	97	,	,	PUNCT
ejpam-6198	2	98	74600	74600	NUM
ejpam-6198	2	99	,	,	PUNCT
ejpam-6198	2	100	pakistan	pakistan	PROPN
ejpam-6198	2	101	6	6	NUM
ejpam-6198	2	102	department	department	NOUN
ejpam-6198	2	103	of	of	ADP
ejpam-6198	2	104	mathematics	mathematic	NOUN
ejpam-6198	2	105	,	,	PUNCT
ejpam-6198	2	106	ned	ned	PROPN
ejpam-6198	2	107	university	university	PROPN
ejpam-6198	2	108	of	of	ADP
ejpam-6198	2	109	engineering	engineering	PROPN
ejpam-6198	2	110	&	&	CCONJ
ejpam-6198	2	111	technology	technology	PROPN
ejpam-6198	2	112	,	,	PUNCT
ejpam-6198	2	113	karachi-75270	karachi-75270	INTJ
ejpam-6198	2	114	,	,	PUNCT
ejpam-6198	2	115	pakistan	pakistan	PROPN
ejpam-6198	2	116	7	7	NUM
ejpam-6198	2	117	department	department	NOUN
ejpam-6198	2	118	of	of	ADP
ejpam-6198	2	119	mathematics	mathematic	NOUN
ejpam-6198	2	120	,	,	PUNCT
ejpam-6198	2	121	college	college	NOUN
ejpam-6198	2	122	of	of	ADP
ejpam-6198	2	123	science	science	NOUN
ejpam-6198	2	124	,	,	PUNCT
ejpam-6198	2	125	university	university	NOUN
ejpam-6198	2	126	of	of	ADP
ejpam-6198	2	127	bisha	bisha	PROPN
ejpam-6198	2	128	,	,	PUNCT
ejpam-6198	2	129	p.o	p.o	PROPN
ejpam-6198	2	130	.	.	PROPN
ejpam-6198	2	131	box	box	PROPN
ejpam-6198	2	132	551	551	NUM
ejpam-6198	2	133	,	,	PUNCT
ejpam-6198	2	134	bisha	bisha	PROPN
ejpam-6198	2	135	61922	61922	NUM
ejpam-6198	2	136	,	,	PUNCT
ejpam-6198	2	137	saudi	saudi	PROPN
ejpam-6198	2	138	arabia	arabia	PROPN
ejpam-6198	2	139	8	8	NUM
ejpam-6198	2	140	department	department	NOUN
ejpam-6198	2	141	of	of	ADP
ejpam-6198	2	142	mathematics	mathematic	NOUN
ejpam-6198	2	143	,	,	PUNCT
ejpam-6198	2	144	faculty	faculty	NOUN
ejpam-6198	2	145	of	of	ADP
ejpam-6198	2	146	science	science	NOUN
ejpam-6198	2	147	,	,	PUNCT
ejpam-6198	2	148	university	university	NOUN
ejpam-6198	2	149	of	of	ADP
ejpam-6198	2	150	tabuk	tabuk	PROPN
ejpam-6198	2	151	,	,	PUNCT
ejpam-6198	2	152	tabuk	tabuk	PROPN
ejpam-6198	2	153	,	,	PUNCT
ejpam-6198	2	154	saudi	saudi	PROPN
ejpam-6198	2	155	arabia	arabia	PROPN
ejpam-6198	2	156	9	9	NUM
ejpam-6198	2	157	inti	inti	PROPN
ejpam-6198	2	158	international	international	PROPN
ejpam-6198	2	159	university	university	PROPN
ejpam-6198	2	160	,	,	PUNCT
ejpam-6198	2	161	persiaran	persiaran	VERB
ejpam-6198	2	162	perdana	perdana	PROPN
ejpam-6198	2	163	bbn	bbn	PROPN
ejpam-6198	2	164	putra	putra	PROPN
ejpam-6198	2	165	nilai	nilai	PROPN
ejpam-6198	2	166	,	,	PUNCT
ejpam-6198	2	167	71800	71800	PROPN
ejpam-6198	2	168	nilai	nilai	PROPN
ejpam-6198	2	169	,	,	PUNCT
ejpam-6198	2	170	negeri	negeri	PROPN
ejpam-6198	2	171	sembilan	sembilan	PROPN
ejpam-6198	2	172	,	,	PUNCT
ejpam-6198	2	173	malaysia	malaysia	PROPN
ejpam-6198	2	174	abstract	abstract	NOUN
ejpam-6198	2	175	.	.	PUNCT
ejpam-6198	3	1	in	in	ADP
ejpam-6198	3	2	the	the	DET
ejpam-6198	3	3	current	current	ADJ
ejpam-6198	3	4	work	work	NOUN
ejpam-6198	3	5	,	,	PUNCT
ejpam-6198	3	6	we	we	PRON
ejpam-6198	3	7	have	have	AUX
ejpam-6198	3	8	estimated	estimate	VERB
ejpam-6198	3	9	the	the	DET
ejpam-6198	3	10	flow	flow	NOUN
ejpam-6198	3	11	of	of	ADP
ejpam-6198	3	12	helices	helix	NOUN
ejpam-6198	3	13	of	of	ADP
ejpam-6198	3	14	the	the	DET
ejpam-6198	3	15	unsteady	unsteady	ADJ
ejpam-6198	3	16	fractionalized	fractionalize	VERB
ejpam-6198	3	17	second	second	ADJ
ejpam-6198	3	18	grade	grade	NOUN
ejpam-6198	3	19	fluid	fluid	NOUN
ejpam-6198	3	20	with	with	ADP
ejpam-6198	3	21	mhd	mhd	NOUN
ejpam-6198	3	22	effect	effect	NOUN
ejpam-6198	3	23	between	between	ADP
ejpam-6198	3	24	uniaxial	uniaxial	ADJ
ejpam-6198	3	25	annular	annular	ADJ
ejpam-6198	3	26	cylinders	cylinder	NOUN
ejpam-6198	3	27	.	.	PUNCT
ejpam-6198	4	1	the	the	DET
ejpam-6198	4	2	analytical	analytical	ADJ
ejpam-6198	4	3	outcomes	outcome	NOUN
ejpam-6198	4	4	are	be	AUX
ejpam-6198	4	5	evaluated	evaluate	VERB
ejpam-6198	4	6	for	for	ADP
ejpam-6198	4	7	the	the	DET
ejpam-6198	4	8	rotational	rotational	ADJ
ejpam-6198	4	9	and	and	CCONJ
ejpam-6198	4	10	longitudinal	longitudinal	ADJ
ejpam-6198	4	11	velocities	velocity	NOUN
ejpam-6198	4	12	and	and	CCONJ
ejpam-6198	4	13	the	the	DET
ejpam-6198	4	14	shear	shear	NOUN
ejpam-6198	4	15	stresses	stress	NOUN
ejpam-6198	4	16	because	because	SCONJ
ejpam-6198	4	17	of	of	ADP
ejpam-6198	4	18	fluid	fluid	ADJ
ejpam-6198	4	19	circulation	circulation	NOUN
ejpam-6198	4	20	and	and	CCONJ
ejpam-6198	4	21	translating	translate	VERB
ejpam-6198	4	22	between	between	ADP
ejpam-6198	4	23	two	two	NUM
ejpam-6198	4	24	infinite	infinite	ADJ
ejpam-6198	4	25	coaxial	coaxial	ADJ
ejpam-6198	4	26	circular	circular	ADJ
ejpam-6198	4	27	cylinders	cylinder	NOUN
ejpam-6198	4	28	,	,	PUNCT
ejpam-6198	4	29	those	those	PRON
ejpam-6198	4	30	are	be	AUX
ejpam-6198	4	31	turning	turn	VERB
ejpam-6198	4	32	their	their	PRON
ejpam-6198	4	33	axis	axis	NOUN
ejpam-6198	4	34	.	.	PUNCT
ejpam-6198	5	1	hardly	hardly	ADV
ejpam-6198	5	2	anyone	anyone	PRON
ejpam-6198	5	3	has	have	AUX
ejpam-6198	5	4	done	do	VERB
ejpam-6198	5	5	this	this	PRON
ejpam-6198	5	6	before	before	ADV
ejpam-6198	5	7	or	or	CCONJ
ejpam-6198	5	8	has	have	AUX
ejpam-6198	5	9	applied	apply	VERB
ejpam-6198	5	10	the	the	DET
ejpam-6198	5	11	most	most	ADV
ejpam-6198	5	12	modern	modern	ADJ
ejpam-6198	5	13	non	non	ADJ
ejpam-6198	5	14	-	-	ADJ
ejpam-6198	5	15	integer	integer	ADJ
ejpam-6198	5	16	atangana	atangana	PROPN
ejpam-6198	5	17	baleanu	baleanu	PROPN
ejpam-6198	5	18	caputo	caputo	PROPN
ejpam-6198	5	19	fractional	fractional	PROPN
ejpam-6198	5	20	time	time	NOUN
ejpam-6198	5	21	derivatives	derivative	NOUN
ejpam-6198	5	22	on	on	ADP
ejpam-6198	5	23	the	the	DET
ejpam-6198	5	24	governing	govern	VERB
ejpam-6198	5	25	equation	equation	NOUN
ejpam-6198	5	26	of	of	ADP
ejpam-6198	5	27	second	second	ADJ
ejpam-6198	5	28	grade	grade	NOUN
ejpam-6198	5	29	fluid	fluid	NOUN
ejpam-6198	5	30	with	with	ADP
ejpam-6198	5	31	some	some	DET
ejpam-6198	5	32	natural	natural	ADJ
ejpam-6198	5	33	effects	effect	NOUN
ejpam-6198	5	34	.	.	PUNCT
ejpam-6198	6	1	the	the	DET
ejpam-6198	6	2	outcomes	outcome	NOUN
ejpam-6198	6	3	are	be	AUX
ejpam-6198	6	4	determined	determine	VERB
ejpam-6198	6	5	by	by	ADP
ejpam-6198	6	6	using	use	VERB
ejpam-6198	6	7	integral	integral	ADJ
ejpam-6198	6	8	transforms	transform	NOUN
ejpam-6198	6	9	such	such	ADJ
ejpam-6198	6	10	as	as	ADP
ejpam-6198	6	11	laplace	laplace	NOUN
ejpam-6198	6	12	and	and	CCONJ
ejpam-6198	6	13	finite	finite	ADJ
ejpam-6198	6	14	hankel	hankel	NOUN
ejpam-6198	6	15	transforms	transform	VERB
ejpam-6198	6	16	.	.	PUNCT
ejpam-6198	7	1	the	the	DET
ejpam-6198	7	2	acquired	acquire	VERB
ejpam-6198	7	3	outcomes	outcome	NOUN
ejpam-6198	7	4	exhibited	exhibit	VERB
ejpam-6198	7	5	in	in	ADP
ejpam-6198	7	6	integral	integral	ADJ
ejpam-6198	7	7	and	and	CCONJ
ejpam-6198	7	8	series	series	NOUN
ejpam-6198	7	9	forms	form	NOUN
ejpam-6198	7	10	with	with	ADP
ejpam-6198	7	11	newly	newly	ADV
ejpam-6198	7	12	defined	define	VERB
ejpam-6198	7	13	special	special	ADJ
ejpam-6198	7	14	ma	ma	PROPN
ejpam-6198	7	15	,	,	PUNCT
ejpam-6198	7	16	b	b	PROPN
ejpam-6198	7	17	c	c	X
ejpam-6198	7	18	(	(	PUNCT
ejpam-6198	7	19	κ	κ	PROPN
ejpam-6198	7	20	,	,	PUNCT
ejpam-6198	7	21	t	t	NOUN
ejpam-6198	7	22	)	)	PUNCT
ejpam-6198	7	23	function	function	NOUN
ejpam-6198	7	24	.	.	PUNCT
ejpam-6198	8	1	the	the	DET
ejpam-6198	8	2	outcome	outcome	NOUN
ejpam-6198	8	3	fulfills	fulfill	VERB
ejpam-6198	8	4	both	both	CCONJ
ejpam-6198	8	5	the	the	DET
ejpam-6198	8	6	governing	govern	VERB
ejpam-6198	8	7	equation	equation	NOUN
ejpam-6198	8	8	and	and	CCONJ
ejpam-6198	8	9	all	all	DET
ejpam-6198	8	10	designated	designate	VERB
ejpam-6198	8	11	account	account	NOUN
ejpam-6198	8	12	conditions	condition	NOUN
ejpam-6198	8	13	.	.	PUNCT
ejpam-6198	9	1	additionally	additionally	ADV
ejpam-6198	9	2	,	,	PUNCT
ejpam-6198	9	3	the	the	DET
ejpam-6198	9	4	respective	respective	ADJ
ejpam-6198	9	5	outcome	outcome	NOUN
ejpam-6198	9	6	for	for	ADP
ejpam-6198	9	7	newtonian	newtonian	ADJ
ejpam-6198	9	8	fluid	fluid	NOUN
ejpam-6198	9	9	for	for	ADP
ejpam-6198	9	10	the	the	DET
ejpam-6198	9	11	same	same	ADJ
ejpam-6198	9	12	movement	movement	NOUN
ejpam-6198	9	13	is	be	AUX
ejpam-6198	9	14	acquired	acquire	VERB
ejpam-6198	9	15	in	in	ADP
ejpam-6198	9	16	limited	limited	ADJ
ejpam-6198	9	17	cases	case	NOUN
ejpam-6198	9	18	.	.	PUNCT
ejpam-6198	10	1	the	the	DET
ejpam-6198	10	2	impact	impact	NOUN
ejpam-6198	10	3	of	of	ADP
ejpam-6198	10	4	material	material	NOUN
ejpam-6198	10	5	parameter	parameter	NOUN
ejpam-6198	10	6	α	α	PROPN
ejpam-6198	10	7	and	and	CCONJ
ejpam-6198	10	8	kinematic	kinematic	ADJ
ejpam-6198	10	9	viscosity	viscosity	NOUN
ejpam-6198	10	10	of	of	ADP
ejpam-6198	10	11	the	the	DET
ejpam-6198	10	12	α	α	NOUN
ejpam-6198	10	13	is	be	AUX
ejpam-6198	10	14	also	also	ADV
ejpam-6198	10	15	discussed	discuss	VERB
ejpam-6198	10	16	.	.	PUNCT
ejpam-6198	11	1	last	last	ADJ
ejpam-6198	11	2	,	,	PUNCT
ejpam-6198	11	3	we	we	PRON
ejpam-6198	11	4	examined	examine	VERB
ejpam-6198	11	5	the	the	DET
ejpam-6198	11	6	behavior	behavior	NOUN
ejpam-6198	11	7	of	of	ADP
ejpam-6198	11	8	distinct	distinct	ADJ
ejpam-6198	11	9	parameters	parameter	NOUN
ejpam-6198	11	10	on	on	ADP
ejpam-6198	11	11	fluid	fluid	ADJ
ejpam-6198	11	12	movement	movement	NOUN
ejpam-6198	11	13	along	along	ADP
ejpam-6198	11	14	with	with	ADP
ejpam-6198	11	15	graphically	graphically	ADV
ejpam-6198	11	16	analogizing	analogize	VERB
ejpam-6198	11	17	second	second	ADJ
ejpam-6198	11	18	grade	grade	NOUN
ejpam-6198	11	19	and	and	CCONJ
ejpam-6198	11	20	newtonian	newtonian	ADJ
ejpam-6198	11	21	fluids	fluid	NOUN
ejpam-6198	11	22	.	.	PUNCT
ejpam-6198	12	1	2020	2020	NUM
ejpam-6198	12	2	mathematics	mathematic	NOUN
ejpam-6198	12	3	subject	subject	NOUN
ejpam-6198	12	4	classifications	classification	NOUN
ejpam-6198	12	5	:	:	PUNCT
ejpam-6198	12	6	76a05	76a05	NUM
ejpam-6198	12	7	,	,	PUNCT
ejpam-6198	12	8	76a10	76a10	NUM
ejpam-6198	12	9	,	,	PUNCT
ejpam-6198	12	10	76u05	76u05	NUM
ejpam-6198	12	11	,	,	PUNCT
ejpam-6198	12	12	76s05	76s05	NUM
ejpam-6198	12	13	,	,	PUNCT
ejpam-6198	12	14	76w05	76w05	NOUN
ejpam-6198	12	15	,	,	PUNCT
ejpam-6198	12	16	26a33	26a33	NUM
ejpam-6198	12	17	,	,	PUNCT
ejpam-6198	12	18	35r11	35r11	NUM
ejpam-6198	12	19	,	,	PUNCT
ejpam-6198	12	20	35a22	35a22	NUM
ejpam-6198	12	21	key	key	ADJ
ejpam-6198	12	22	words	word	NOUN
ejpam-6198	12	23	and	and	CCONJ
ejpam-6198	12	24	phrases	phrase	NOUN
ejpam-6198	12	25	:	:	PUNCT
ejpam-6198	12	26	second	second	ADJ
ejpam-6198	12	27	grade	grade	NOUN
ejpam-6198	12	28	fluid	fluid	NOUN
ejpam-6198	12	29	,	,	PUNCT
ejpam-6198	12	30	helical	helical	ADJ
ejpam-6198	12	31	flows	flow	NOUN
ejpam-6198	12	32	,	,	PUNCT
ejpam-6198	12	33	mhd	mhd	NOUN
ejpam-6198	12	34	,	,	PUNCT
ejpam-6198	12	35	porous	porous	ADJ
ejpam-6198	12	36	,	,	PUNCT
ejpam-6198	12	37	abc	abc	PROPN
ejpam-6198	12	38	fractional	fractional	ADJ
ejpam-6198	12	39	derivatives	derivative	NOUN
ejpam-6198	12	40	,	,	PUNCT
ejpam-6198	12	41	smart	smart	ADJ
ejpam-6198	12	42	grid	grid	NOUN
ejpam-6198	12	43	,	,	PUNCT
ejpam-6198	12	44	transform	transform	VERB
ejpam-6198	12	45	methods	method	NOUN
ejpam-6198	12	46	∗corresponding	∗corresponde	VERB
ejpam-6198	12	47	author	author	NOUN
ejpam-6198	12	48	.	.	PUNCT
ejpam-6198	13	1	∗corresponding	∗corresponde	VERB
ejpam-6198	13	2	author	author	NOUN
ejpam-6198	13	3	.	.	PUNCT
ejpam-6198	14	1	doi	doi	NOUN
ejpam-6198	14	2	:	:	PUNCT
ejpam-6198	14	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6198	https://doi.org/10.29020/nybg.ejpam.v18i4.6198	ADJ
ejpam-6198	14	4	email	email	NOUN
ejpam-6198	14	5	addresses	address	NOUN
ejpam-6198	14	6	:	:	PUNCT
ejpam-6198	14	7	i.said@mu.edu.sa	i.said@mu.edu.sa	PROPN
ejpam-6198	14	8	(	(	PUNCT
ejpam-6198	14	9	i.	i.	PROPN
ejpam-6198	14	10	khan	khan	PROPN
ejpam-6198	14	11	)	)	PUNCT
ejpam-6198	14	12	,	,	PUNCT
ejpam-6198	14	13	a.albedah@mu.edu.sa	a.albedah@mu.edu.sa	PROPN
ejpam-6198	14	14	(	(	PUNCT
ejpam-6198	14	15	a.	a.	PROPN
ejpam-6198	14	16	b.	b.	PROPN
ejpam-6198	14	17	albidah	albidah	PROPN
ejpam-6198	14	18	)	)	PUNCT
ejpam-6198	14	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6198	15	1	1	1	NUM
ejpam-6198	15	2	copyright	copyright	NOUN
ejpam-6198	15	3	:	:	PUNCT
ejpam-6198	15	4	©	©	PROPN
ejpam-6198	15	5	2025	2025	NUM
ejpam-6198	15	6	the	the	DET
ejpam-6198	15	7	author(s	author(s	NOUN
ejpam-6198	15	8	)	)	PUNCT
ejpam-6198	15	9	.	.	PUNCT
ejpam-6198	16	1	(	(	PUNCT
ejpam-6198	16	2	cc	cc	NOUN
ejpam-6198	16	3	by	by	ADP
ejpam-6198	16	4	-	-	PUNCT
ejpam-6198	16	5	nc	nc	PROPN
ejpam-6198	16	6	4.0	4.0	NUM
ejpam-6198	16	7	)	)	PUNCT
ejpam-6198	16	8	m.	m.	NOUN
ejpam-6198	16	9	zafarullah	zafarullah	PROPN
ejpam-6198	16	10	et	et	PROPN
ejpam-6198	16	11	al	al	PROPN
ejpam-6198	16	12	.	.	PUNCT
ejpam-6198	16	13	/	/	SYM
ejpam-6198	16	14	eur	eur	PROPN
ejpam-6198	16	15	.	.	PUNCT
ejpam-6198	17	1	j.	j.	PROPN
ejpam-6198	17	2	pure	pure	PROPN
ejpam-6198	17	3	appl	appl	PROPN
ejpam-6198	17	4	.	.	PROPN
ejpam-6198	17	5	math	math	PROPN
ejpam-6198	17	6	,	,	PUNCT
ejpam-6198	17	7	18	18	NUM
ejpam-6198	17	8	(	(	PUNCT
ejpam-6198	17	9	4	4	NUM
ejpam-6198	17	10	)	)	PUNCT
ejpam-6198	17	11	(	(	PUNCT
ejpam-6198	17	12	2025	2025	NUM
ejpam-6198	17	13	)	)	PUNCT
ejpam-6198	17	14	,	,	PUNCT
ejpam-6198	17	15	6198	6198	NUM
ejpam-6198	17	16	2	2	NUM
ejpam-6198	17	17	of	of	ADP
ejpam-6198	17	18	41	41	NUM
ejpam-6198	17	19	1	1	NUM
ejpam-6198	17	20	.	.	PUNCT
ejpam-6198	18	1	introduction	introduction	NOUN
ejpam-6198	18	2	from	from	ADP
ejpam-6198	18	3	the	the	DET
ejpam-6198	18	4	last	last	ADJ
ejpam-6198	18	5	decade	decade	NOUN
ejpam-6198	18	6	of	of	ADP
ejpam-6198	18	7	the	the	DET
ejpam-6198	18	8	seventeen	seventeen	NUM
ejpam-6198	18	9	century	century	NOUN
ejpam-6198	18	10	,	,	PUNCT
ejpam-6198	18	11	when	when	SCONJ
ejpam-6198	18	12	leibniz[1	leibniz[1	NOUN
ejpam-6198	18	13	]	]	PUNCT
ejpam-6198	18	14	introduced	introduce	VERB
ejpam-6198	18	15	it	it	PRON
ejpam-6198	18	16	as	as	ADP
ejpam-6198	18	17	a	a	DET
ejpam-6198	18	18	paradox	paradox	NOUN
ejpam-6198	18	19	,	,	PUNCT
ejpam-6198	18	20	also	also	ADV
ejpam-6198	18	21	mentioned	mention	VERB
ejpam-6198	18	22	that	that	SCONJ
ejpam-6198	18	23	it	it	PRON
ejpam-6198	18	24	will	will	AUX
ejpam-6198	18	25	have	have	VERB
ejpam-6198	18	26	applicable	applicable	ADJ
ejpam-6198	18	27	outcomes	outcome	NOUN
ejpam-6198	18	28	in	in	ADP
ejpam-6198	18	29	future	future	NOUN
ejpam-6198	18	30	.	.	PUNCT
ejpam-6198	19	1	mathematical	mathematical	ADJ
ejpam-6198	19	2	analysis	analysis	NOUN
ejpam-6198	19	3	branch[2	branch[2	NOUN
ejpam-6198	19	4	]	]	X
ejpam-6198	19	5	fractional	fractional	ADJ
ejpam-6198	19	6	calculus	calculus	NOUN
ejpam-6198	19	7	has	have	AUX
ejpam-6198	19	8	paid	pay	VERB
ejpam-6198	19	9	a	a	DET
ejpam-6198	19	10	significant	significant	ADJ
ejpam-6198	19	11	contribution	contribution	NOUN
ejpam-6198	19	12	in	in	ADP
ejpam-6198	19	13	many	many	ADJ
ejpam-6198	19	14	fields	field	NOUN
ejpam-6198	19	15	of	of	ADP
ejpam-6198	19	16	real	real	ADJ
ejpam-6198	19	17	life[3	life[3	PROPN
ejpam-6198	19	18	]	]	PUNCT
ejpam-6198	19	19	.	.	PUNCT
ejpam-6198	20	1	ross	ross	PROPN
ejpam-6198	20	2	,	,	PUNCT
ejpam-6198	20	3	b.[4	b.[4	PROPN
ejpam-6198	20	4	]	]	PUNCT
ejpam-6198	20	5	cited	cite	VERB
ejpam-6198	20	6	exhaustively	exhaustively	ADV
ejpam-6198	20	7	the	the	DET
ejpam-6198	20	8	basic	basic	ADJ
ejpam-6198	20	9	ideas	idea	NOUN
ejpam-6198	20	10	and	and	CCONJ
ejpam-6198	20	11	earlier	early	ADJ
ejpam-6198	20	12	definitions	definition	NOUN
ejpam-6198	20	13	of	of	ADP
ejpam-6198	20	14	fractional	fractional	ADJ
ejpam-6198	20	15	integro	integro	NOUN
ejpam-6198	20	16	-	-	PUNCT
ejpam-6198	20	17	differentiation	differentiation	NOUN
ejpam-6198	20	18	of	of	ADP
ejpam-6198	20	19	euler	euler	NOUN
ejpam-6198	20	20	,	,	PUNCT
ejpam-6198	20	21	laplace	laplace	NOUN
ejpam-6198	20	22	,	,	PUNCT
ejpam-6198	20	23	lacroix	lacroix	NOUN
ejpam-6198	20	24	,	,	PUNCT
ejpam-6198	20	25	fourier	fourier	NOUN
ejpam-6198	20	26	and	and	CCONJ
ejpam-6198	20	27	of	of	ADP
ejpam-6198	20	28	other	other	ADJ
ejpam-6198	20	29	mathematicians	mathematician	NOUN
ejpam-6198	20	30	who	who	PRON
ejpam-6198	20	31	worked	work	VERB
ejpam-6198	20	32	on	on	ADP
ejpam-6198	20	33	the	the	DET
ejpam-6198	20	34	topic	topic	NOUN
ejpam-6198	20	35	till	till	SCONJ
ejpam-6198	20	36	1900	1900	NUM
ejpam-6198	20	37	.	.	PUNCT
ejpam-6198	21	1	podlubny	podlubny	PROPN
ejpam-6198	21	2	et	et	PROPN
ejpam-6198	21	3	al.[5	al.[5	PROPN
ejpam-6198	21	4	]	]	PUNCT
ejpam-6198	21	5	titled	title	VERB
ejpam-6198	21	6	abel	abel	PROPN
ejpam-6198	21	7	as	as	ADP
ejpam-6198	21	8	the	the	DET
ejpam-6198	21	9	father	father	NOUN
ejpam-6198	21	10	of	of	ADP
ejpam-6198	21	11	fractional	fractional	ADJ
ejpam-6198	21	12	calculus	calculus	NOUN
ejpam-6198	21	13	.	.	PUNCT
ejpam-6198	22	1	abel	abel	PROPN
ejpam-6198	22	2	introduced	introduce	VERB
ejpam-6198	22	3	the	the	DET
ejpam-6198	22	4	complete	complete	ADJ
ejpam-6198	22	5	conceptions	conception	NOUN
ejpam-6198	22	6	of	of	ADP
ejpam-6198	22	7	riemann	riemann	PROPN
ejpam-6198	22	8	liouville	liouville	PROPN
ejpam-6198	22	9	fractional	fractional	PROPN
ejpam-6198	22	10	integral	integral	ADJ
ejpam-6198	22	11	and	and	CCONJ
ejpam-6198	22	12	caputo	caputo	PROPN
ejpam-6198	22	13	fractional	fractional	PROPN
ejpam-6198	22	14	derivative	derivative	NOUN
ejpam-6198	22	15	,	,	PUNCT
ejpam-6198	22	16	which	which	PRON
ejpam-6198	22	17	were	be	AUX
ejpam-6198	22	18	his	his	PRON
ejpam-6198	22	19	extremely	extremely	ADV
ejpam-6198	22	20	interesting	interesting	ADJ
ejpam-6198	22	21	discoveries	discovery	NOUN
ejpam-6198	22	22	.	.	PUNCT
ejpam-6198	23	1	due	due	ADP
ejpam-6198	23	2	to	to	ADP
ejpam-6198	23	3	extraordinary	extraordinary	ADJ
ejpam-6198	23	4	influence	influence	NOUN
ejpam-6198	23	5	in	in	ADP
ejpam-6198	23	6	the	the	DET
ejpam-6198	23	7	research	research	NOUN
ejpam-6198	23	8	,	,	PUNCT
ejpam-6198	23	9	bertram	bertram	PROPN
ejpam-6198	23	10	ross	ross	PROPN
ejpam-6198	23	11	arranged	arrange	VERB
ejpam-6198	23	12	the	the	DET
ejpam-6198	23	13	first	first	ADJ
ejpam-6198	23	14	conference	conference	NOUN
ejpam-6198	23	15	on	on	ADP
ejpam-6198	23	16	fractional	fractional	ADJ
ejpam-6198	23	17	calculus	calculus	NOUN
ejpam-6198	23	18	and	and	CCONJ
ejpam-6198	23	19	its	its	PRON
ejpam-6198	23	20	applications[6	applications[6	X
ejpam-6198	23	21	]	]	PUNCT
ejpam-6198	23	22	at	at	ADP
ejpam-6198	23	23	the	the	DET
ejpam-6198	23	24	university	university	NOUN
ejpam-6198	23	25	of	of	ADP
ejpam-6198	23	26	new	new	PROPN
ejpam-6198	23	27	haven	haven	NOUN
ejpam-6198	23	28	during	during	ADP
ejpam-6198	23	29	mid	mid	PROPN
ejpam-6198	23	30	of	of	ADP
ejpam-6198	23	31	1974	1974	NUM
ejpam-6198	23	32	,	,	PUNCT
ejpam-6198	23	33	and	and	CCONJ
ejpam-6198	23	34	in	in	ADP
ejpam-6198	23	35	the	the	DET
ejpam-6198	23	36	same	same	ADJ
ejpam-6198	23	37	year	year	NOUN
ejpam-6198	23	38	,	,	PUNCT
ejpam-6198	23	39	oldham	oldham	PROPN
ejpam-6198	23	40	and	and	CCONJ
ejpam-6198	23	41	spanier	spanier	NOUN
ejpam-6198	23	42	were	be	AUX
ejpam-6198	23	43	the	the	DET
ejpam-6198	23	44	first	first	ADJ
ejpam-6198	23	45	who	who	PRON
ejpam-6198	23	46	edited	edit	VERB
ejpam-6198	23	47	the	the	DET
ejpam-6198	23	48	proceedings	proceeding	NOUN
ejpam-6198	23	49	and	and	CCONJ
ejpam-6198	23	50	published	publish	VERB
ejpam-6198	23	51	the	the	DET
ejpam-6198	23	52	first	first	ADJ
ejpam-6198	23	53	monograph	monograph	NOUN
ejpam-6198	23	54	on	on	ADP
ejpam-6198	23	55	the	the	DET
ejpam-6198	23	56	fractional	fractional	ADJ
ejpam-6198	23	57	calculus	calculus	NOUN
ejpam-6198	23	58	.	.	PUNCT
ejpam-6198	24	1	machado	machado	PROPN
ejpam-6198	24	2	et	et	PROPN
ejpam-6198	24	3	al.[2	al.[2	PROPN
ejpam-6198	24	4	]	]	PUNCT
ejpam-6198	24	5	also	also	ADV
ejpam-6198	24	6	presented	present	VERB
ejpam-6198	24	7	the	the	DET
ejpam-6198	24	8	detailed	detailed	ADJ
ejpam-6198	24	9	analysis	analysis	NOUN
ejpam-6198	24	10	of	of	ADP
ejpam-6198	24	11	journals	journal	NOUN
ejpam-6198	24	12	,	,	PUNCT
ejpam-6198	24	13	exclusively	exclusively	ADV
ejpam-6198	24	14	issues	issue	NOUN
ejpam-6198	24	15	in	in	ADP
ejpam-6198	24	16	peer	peer	NOUN
ejpam-6198	24	17	-	-	PUNCT
ejpam-6198	24	18	reviewed	review	VERB
ejpam-6198	24	19	journals	journal	NOUN
ejpam-6198	24	20	,	,	PUNCT
ejpam-6198	24	21	books	book	NOUN
ejpam-6198	24	22	(	(	PUNCT
ejpam-6198	24	23	authored	author	VERB
ejpam-6198	24	24	or	or	CCONJ
ejpam-6198	24	25	edited	edit	VERB
ejpam-6198	24	26	)	)	PUNCT
ejpam-6198	24	27	,	,	PUNCT
ejpam-6198	24	28	conferences	conference	NOUN
ejpam-6198	24	29	,	,	PUNCT
ejpam-6198	24	30	separate	separate	ADJ
ejpam-6198	24	31	symposium	symposium	NOUN
ejpam-6198	24	32	in	in	ADP
ejpam-6198	24	33	conferences	conference	NOUN
ejpam-6198	24	34	,	,	PUNCT
ejpam-6198	24	35	courses	course	NOUN
ejpam-6198	24	36	,	,	PUNCT
ejpam-6198	24	37	tutorials	tutorial	NOUN
ejpam-6198	24	38	and	and	CCONJ
ejpam-6198	24	39	plenaries	plenarie	NOUN
ejpam-6198	24	40	,	,	PUNCT
ejpam-6198	24	41	algorithms	algorithms	NOUN
ejpam-6198	24	42	/	/	SYM
ejpam-6198	24	43	packages	package	NOUN
ejpam-6198	24	44	,	,	PUNCT
ejpam-6198	24	45	other	other	ADJ
ejpam-6198	24	46	websites	website	NOUN
ejpam-6198	24	47	and	and	CCONJ
ejpam-6198	24	48	packages	package	NOUN
ejpam-6198	24	49	,	,	PUNCT
ejpam-6198	24	50	some	some	DET
ejpam-6198	24	51	papers	paper	NOUN
ejpam-6198	24	52	on	on	ADP
ejpam-6198	24	53	computational	computational	ADJ
ejpam-6198	24	54	/	/	SYM
ejpam-6198	24	55	numerical	numerical	ADJ
ejpam-6198	24	56	procedures	procedure	NOUN
ejpam-6198	24	57	for	for	ADP
ejpam-6198	24	58	special	special	ADJ
ejpam-6198	24	59	functions	function	NOUN
ejpam-6198	24	60	,	,	PUNCT
ejpam-6198	24	61	math	math	NOUN
ejpam-6198	24	62	keywords	keyword	NOUN
ejpam-6198	24	63	and	and	CCONJ
ejpam-6198	24	64	entries	entry	NOUN
ejpam-6198	24	65	in	in	ADP
ejpam-6198	24	66	the	the	DET
ejpam-6198	24	67	new	new	ADJ
ejpam-6198	24	68	msc2010	msc2010	NOUN
ejpam-6198	24	69	and	and	CCONJ
ejpam-6198	24	70	patents	patent	NOUN
ejpam-6198	24	71	on	on	ADP
ejpam-6198	24	72	the	the	DET
ejpam-6198	24	73	advancement	advancement	NOUN
ejpam-6198	24	74	of	of	ADP
ejpam-6198	24	75	fractional	fractional	ADJ
ejpam-6198	24	76	calculus	calculus	NOUN
ejpam-6198	24	77	since	since	SCONJ
ejpam-6198	24	78	1974	1974	NUM
ejpam-6198	24	79	.	.	PUNCT
ejpam-6198	25	1	caputo	caputo	PROPN
ejpam-6198	25	2	and	and	CCONJ
ejpam-6198	25	3	fabrizio[7	fabrizio[7	PROPN
ejpam-6198	25	4	]	]	PUNCT
ejpam-6198	25	5	worked	work	VERB
ejpam-6198	25	6	on	on	ADP
ejpam-6198	25	7	time	time	NOUN
ejpam-6198	25	8	variables	variable	NOUN
ejpam-6198	25	9	that	that	PRON
ejpam-6198	25	10	are	be	AUX
ejpam-6198	25	11	applicable	applicable	ADJ
ejpam-6198	25	12	for	for	ADP
ejpam-6198	25	13	the	the	DET
ejpam-6198	25	14	laplace	laplace	NOUN
ejpam-6198	25	15	transform	transform	NOUN
ejpam-6198	25	16	and	and	CCONJ
ejpam-6198	25	17	on	on	ADP
ejpam-6198	25	18	spatial	spatial	ADJ
ejpam-6198	25	19	variables	variable	NOUN
ejpam-6198	25	20	that	that	PRON
ejpam-6198	25	21	are	be	AUX
ejpam-6198	25	22	more	more	ADV
ejpam-6198	25	23	convenient	convenient	ADJ
ejpam-6198	25	24	with	with	ADP
ejpam-6198	25	25	the	the	DET
ejpam-6198	25	26	fourier	fourier	NOUN
ejpam-6198	25	27	transform	transform	NOUN
ejpam-6198	25	28	.	.	PUNCT
ejpam-6198	25	29	atangana	atangana	PROPN
ejpam-6198	25	30	and	and	CCONJ
ejpam-6198	25	31	baleanu[8	baleanu[8	PROPN
ejpam-6198	25	32	]	]	PUNCT
ejpam-6198	25	33	also	also	ADV
ejpam-6198	25	34	proposed	propose	VERB
ejpam-6198	25	35	the	the	DET
ejpam-6198	25	36	latest	late	ADJ
ejpam-6198	25	37	fractional	fractional	ADJ
ejpam-6198	25	38	derivatives	derivative	NOUN
ejpam-6198	25	39	,	,	PUNCT
ejpam-6198	25	40	applicable	applicable	ADJ
ejpam-6198	25	41	on	on	ADP
ejpam-6198	25	42	the	the	DET
ejpam-6198	25	43	fractionalized	fractionalize	VERB
ejpam-6198	25	44	heat	heat	NOUN
ejpam-6198	25	45	transfer	transfer	NOUN
ejpam-6198	25	46	framework	framework	NOUN
ejpam-6198	25	47	.	.	PUNCT
ejpam-6198	26	1	they	they	PRON
ejpam-6198	26	2	recommenced	recommence	VERB
ejpam-6198	26	3	the	the	DET
ejpam-6198	26	4	first	first	ADJ
ejpam-6198	26	5	one	one	NUM
ejpam-6198	26	6	on	on	ADP
ejpam-6198	26	7	caputo	caputo	PROPN
ejpam-6198	26	8	aspects	aspect	NOUN
ejpam-6198	26	9	and	and	CCONJ
ejpam-6198	26	10	the	the	DET
ejpam-6198	26	11	second	second	ADJ
ejpam-6198	26	12	on	on	ADP
ejpam-6198	26	13	riemann	riemann	PROPN
ejpam-6198	26	14	-	-	PUNCT
ejpam-6198	26	15	liouville	liouville	VERB
ejpam-6198	26	16	perspective	perspective	NOUN
ejpam-6198	26	17	a	a	DET
ejpam-6198	26	18	non	non	ADJ
ejpam-6198	26	19	-	-	ADJ
ejpam-6198	26	20	local	local	ADJ
ejpam-6198	26	21	and	and	CCONJ
ejpam-6198	26	22	non	non	ADJ
ejpam-6198	26	23	-	-	ADJ
ejpam-6198	26	24	singular	singular	ADJ
ejpam-6198	26	25	kernel[9	kernel[9	NOUN
ejpam-6198	26	26	]	]	PUNCT
ejpam-6198	26	27	.	.	PUNCT
ejpam-6198	27	1	the	the	DET
ejpam-6198	27	2	first	first	ADJ
ejpam-6198	27	3	one	one	NOUN
ejpam-6198	27	4	is	be	AUX
ejpam-6198	27	5	also	also	ADV
ejpam-6198	27	6	famous	famous	ADJ
ejpam-6198	27	7	as	as	ADP
ejpam-6198	27	8	atangana	atangana	PROPN
ejpam-6198	27	9	baleanu	baleanu	PROPN
ejpam-6198	27	10	caputo	caputo	PROPN
ejpam-6198	27	11	abc	abc	PROPN
ejpam-6198	27	12	fractional	fractional	PROPN
ejpam-6198	27	13	derivative	derivative	PROPN
ejpam-6198	27	14	.	.	PUNCT
ejpam-6198	28	1	before	before	ADP
ejpam-6198	28	2	atangana	atangana	PROPN
ejpam-6198	28	3	baleanu	baleanu	PROPN
ejpam-6198	28	4	caputo	caputo	PROPN
ejpam-6198	28	5	abc	abc	PROPN
ejpam-6198	28	6	fractional	fractional	PROPN
ejpam-6198	28	7	differential	differential	NOUN
ejpam-6198	28	8	operator	operator	NOUN
ejpam-6198	28	9	,	,	PUNCT
ejpam-6198	28	10	the	the	DET
ejpam-6198	28	11	previous	previous	ADJ
ejpam-6198	28	12	models	model	NOUN
ejpam-6198	28	13	were	be	AUX
ejpam-6198	28	14	an	an	DET
ejpam-6198	28	15	ordinary	ordinary	ADJ
ejpam-6198	28	16	model	model	NOUN
ejpam-6198	28	17	of	of	ADP
ejpam-6198	28	18	second	second	ADJ
ejpam-6198	28	19	grade	grade	NOUN
ejpam-6198	28	20	fluid	fluid	NOUN
ejpam-6198	28	21	or	or	CCONJ
ejpam-6198	28	22	fractionalized	fractionalize	VERB
ejpam-6198	28	23	in	in	ADP
ejpam-6198	28	24	the	the	DET
ejpam-6198	28	25	sense	sense	NOUN
ejpam-6198	28	26	of	of	ADP
ejpam-6198	28	27	caputo	caputo	PROPN
ejpam-6198	28	28	and	and	CCONJ
ejpam-6198	28	29	riemann	riemann	PROPN
ejpam-6198	28	30	-	-	PUNCT
ejpam-6198	28	31	liouville	liouville	NOUN
ejpam-6198	28	32	with	with	ADP
ejpam-6198	28	33	respect	respect	NOUN
ejpam-6198	28	34	to	to	ADP
ejpam-6198	28	35	the	the	DET
ejpam-6198	28	36	power	power	NOUN
ejpam-6198	28	37	-	-	PUNCT
ejpam-6198	28	38	law	law	NOUN
ejpam-6198	28	39	kernel	kernel	NOUN
ejpam-6198	28	40	and	and	CCONJ
ejpam-6198	28	41	caputo	caputo	PROPN
ejpam-6198	28	42	and	and	CCONJ
ejpam-6198	28	43	fabrizio	fabrizio	PROPN
ejpam-6198	28	44	with	with	ADP
ejpam-6198	28	45	respect	respect	NOUN
ejpam-6198	28	46	to	to	ADP
ejpam-6198	28	47	the	the	DET
ejpam-6198	28	48	exponential	exponential	ADJ
ejpam-6198	28	49	kernel	kernel	NOUN
ejpam-6198	28	50	but	but	CCONJ
ejpam-6198	28	51	both	both	PRON
ejpam-6198	28	52	have	have	VERB
ejpam-6198	28	53	kernel	kernel	NOUN
ejpam-6198	28	54	singularity	singularity	NOUN
ejpam-6198	28	55	complication	complication	NOUN
ejpam-6198	28	56	because	because	SCONJ
ejpam-6198	28	57	of	of	ADP
ejpam-6198	28	58	the	the	DET
ejpam-6198	28	59	constant	constant	ADJ
ejpam-6198	28	60	function	function	NOUN
ejpam-6198	28	61	does	do	AUX
ejpam-6198	28	62	not	not	PART
ejpam-6198	28	63	lead	lead	VERB
ejpam-6198	28	64	to	to	ADP
ejpam-6198	28	65	zero	zero	NUM
ejpam-6198	28	66	value	value	NOUN
ejpam-6198	28	67	during	during	ADP
ejpam-6198	28	68	differentiation	differentiation	NOUN
ejpam-6198	28	69	.	.	PUNCT
ejpam-6198	29	1	subsequently	subsequently	ADV
ejpam-6198	29	2	,	,	PUNCT
ejpam-6198	29	3	some	some	DET
ejpam-6198	29	4	scholars	scholar	NOUN
ejpam-6198	29	5	investigated	investigate	VERB
ejpam-6198	29	6	and	and	CCONJ
ejpam-6198	29	7	applied	apply	VERB
ejpam-6198	29	8	them	they	PRON
ejpam-6198	29	9	to	to	ADP
ejpam-6198	29	10	different	different	ADJ
ejpam-6198	29	11	models	model	NOUN
ejpam-6198	29	12	and	and	CCONJ
ejpam-6198	29	13	identified	identify	VERB
ejpam-6198	29	14	the	the	DET
ejpam-6198	29	15	locality	locality	NOUN
ejpam-6198	29	16	issues	issue	NOUN
ejpam-6198	29	17	of	of	ADP
ejpam-6198	29	18	the	the	DET
ejpam-6198	29	19	related	related	ADJ
ejpam-6198	29	20	kernel	kernel	NOUN
ejpam-6198	29	21	,	,	PUNCT
ejpam-6198	29	22	and	and	CCONJ
ejpam-6198	29	23	the	the	DET
ejpam-6198	29	24	derivative	derivative	NOUN
ejpam-6198	29	25	could	could	AUX
ejpam-6198	29	26	not	not	PART
ejpam-6198	29	27	explain	explain	VERB
ejpam-6198	29	28	the	the	DET
ejpam-6198	29	29	memory	memory	NOUN
ejpam-6198	29	30	effects	effect	NOUN
ejpam-6198	29	31	.	.	PUNCT
ejpam-6198	30	1	atangana	atangana	PROPN
ejpam-6198	30	2	and	and	CCONJ
ejpam-6198	30	3	baleanu	baleanu	PROPN
ejpam-6198	30	4	addressed	address	VERB
ejpam-6198	30	5	these	these	DET
ejpam-6198	30	6	issues	issue	NOUN
ejpam-6198	30	7	and	and	CCONJ
ejpam-6198	30	8	succeeded	succeed	VERB
ejpam-6198	30	9	in	in	ADP
ejpam-6198	30	10	dealing	deal	VERB
ejpam-6198	30	11	with	with	ADP
ejpam-6198	30	12	the	the	DET
ejpam-6198	30	13	locality	locality	NOUN
ejpam-6198	30	14	issues	issue	NOUN
ejpam-6198	30	15	,	,	PUNCT
ejpam-6198	30	16	they	they	PRON
ejpam-6198	30	17	incorporated	incorporate	VERB
ejpam-6198	30	18	a	a	DET
ejpam-6198	30	19	non	non	ADJ
ejpam-6198	30	20	-	-	ADJ
ejpam-6198	30	21	local	local	ADJ
ejpam-6198	30	22	and	and	CCONJ
ejpam-6198	30	23	non	non	ADJ
ejpam-6198	30	24	-	-	ADJ
ejpam-6198	30	25	singular	singular	ADJ
ejpam-6198	30	26	kernel	kernel	NOUN
ejpam-6198	30	27	.	.	PUNCT
ejpam-6198	31	1	their	their	PRON
ejpam-6198	31	2	operator	operator	NOUN
ejpam-6198	31	3	is	be	AUX
ejpam-6198	31	4	known	know	VERB
ejpam-6198	31	5	as	as	ADP
ejpam-6198	31	6	atangana	atangana	PROPN
ejpam-6198	31	7	baleanu	baleanu	PROPN
ejpam-6198	31	8	caputo	caputo	PROPN
ejpam-6198	31	9	differential	differential	PROPN
ejpam-6198	31	10	operator	operator	NOUN
ejpam-6198	31	11	,	,	PUNCT
ejpam-6198	31	12	its	its	PRON
ejpam-6198	31	13	kernel	kernel	NOUN
ejpam-6198	31	14	has	have	VERB
ejpam-6198	31	15	stochastic	stochastic	ADJ
ejpam-6198	31	16	and	and	CCONJ
ejpam-6198	31	17	deterministic	deterministic	ADJ
ejpam-6198	31	18	properties	property	NOUN
ejpam-6198	31	19	and	and	CCONJ
ejpam-6198	31	20	is	be	AUX
ejpam-6198	31	21	generalized	generalize	VERB
ejpam-6198	31	22	in	in	ADP
ejpam-6198	31	23	terms	term	NOUN
ejpam-6198	31	24	of	of	ADP
ejpam-6198	31	25	mittag	mittag	ADJ
ejpam-6198	31	26	-	-	PUNCT
ejpam-6198	31	27	leffler	leffler	NOUN
ejpam-6198	31	28	law[9	law[9	PROPN
ejpam-6198	31	29	]	]	PUNCT
ejpam-6198	31	30	.	.	PUNCT
ejpam-6198	32	1	sania	sania	PROPN
ejpam-6198	32	2	and	and	CCONJ
ejpam-6198	32	3	atangana[10	atangana[10	PROPN
ejpam-6198	32	4	]	]	PUNCT
ejpam-6198	32	5	worked	work	VERB
ejpam-6198	32	6	on	on	ADP
ejpam-6198	32	7	the	the	DET
ejpam-6198	32	8	mathematical	mathematical	ADJ
ejpam-6198	32	9	modeling	modeling	NOUN
ejpam-6198	32	10	of	of	ADP
ejpam-6198	32	11	the	the	DET
ejpam-6198	32	12	infectious	infectious	ADJ
ejpam-6198	32	13	disease	disease	NOUN
ejpam-6198	32	14	dengue	dengue	NOUN
ejpam-6198	32	15	,	,	PUNCT
ejpam-6198	32	16	caused	cause	VERB
ejpam-6198	32	17	by	by	ADP
ejpam-6198	32	18	mosquitoes	mosquito	NOUN
ejpam-6198	32	19	and	and	CCONJ
ejpam-6198	32	20	found	find	VERB
ejpam-6198	32	21	that	that	SCONJ
ejpam-6198	32	22	caputo	caputo	PROPN
ejpam-6198	32	23	,	,	PUNCT
ejpam-6198	32	24	caputo	caputo	PROPN
ejpam-6198	32	25	-	-	PUNCT
ejpam-6198	32	26	fabrizio	fabrizio	PROPN
ejpam-6198	32	27	,	,	PUNCT
ejpam-6198	32	28	and	and	CCONJ
ejpam-6198	32	29	atangana	atangana	PROPN
ejpam-6198	32	30	-	-	PUNCT
ejpam-6198	32	31	baleanucaputo	baleanucaputo	NOUN
ejpam-6198	32	32	are	be	AUX
ejpam-6198	32	33	more	more	ADV
ejpam-6198	32	34	effective	effective	ADJ
ejpam-6198	32	35	differential	differential	ADJ
ejpam-6198	32	36	operators	operator	NOUN
ejpam-6198	32	37	than	than	ADP
ejpam-6198	32	38	other	other	ADJ
ejpam-6198	32	39	classical	classical	ADJ
ejpam-6198	32	40	derivatives	derivative	NOUN
ejpam-6198	32	41	.	.	PUNCT
ejpam-6198	33	1	hongguang	hongguang	VERB
ejpam-6198	33	2	et	et	PROPN
ejpam-6198	33	3	al.[3	al.[3	PROPN
ejpam-6198	33	4	]	]	PUNCT
ejpam-6198	33	5	collected	collect	VERB
ejpam-6198	33	6	and	and	CCONJ
ejpam-6198	33	7	reviewed	review	VERB
ejpam-6198	33	8	in	in	ADP
ejpam-6198	33	9	detail	detail	NOUN
ejpam-6198	33	10	the	the	DET
ejpam-6198	33	11	significance	significance	NOUN
ejpam-6198	33	12	and	and	CCONJ
ejpam-6198	33	13	practice	practice	NOUN
ejpam-6198	33	14	of	of	ADP
ejpam-6198	33	15	fractional	fractional	ADJ
ejpam-6198	33	16	calculus	calculus	NOUN
ejpam-6198	33	17	in	in	ADP
ejpam-6198	33	18	the	the	DET
ejpam-6198	33	19	disciplines	discipline	NOUN
ejpam-6198	33	20	of	of	ADP
ejpam-6198	33	21	physics	physics	NOUN
ejpam-6198	33	22	,	,	PUNCT
ejpam-6198	33	23	dynamical	dynamical	ADJ
ejpam-6198	33	24	systems	system	NOUN
ejpam-6198	33	25	,	,	PUNCT
ejpam-6198	33	26	computer	computer	NOUN
ejpam-6198	33	27	science	science	NOUN
ejpam-6198	33	28	,	,	PUNCT
ejpam-6198	33	29	life	life	NOUN
ejpam-6198	33	30	science	science	NOUN
ejpam-6198	33	31	,	,	PUNCT
ejpam-6198	33	32	m.	m.	NOUN
ejpam-6198	33	33	zafarullah	zafarullah	PROPN
ejpam-6198	33	34	et	et	PROPN
ejpam-6198	33	35	al	al	PROPN
ejpam-6198	33	36	.	.	PUNCT
ejpam-6198	33	37	/	/	SYM
ejpam-6198	33	38	eur	eur	PROPN
ejpam-6198	33	39	.	.	PUNCT
ejpam-6198	34	1	j.	j.	PROPN
ejpam-6198	34	2	pure	pure	PROPN
ejpam-6198	34	3	appl	appl	PROPN
ejpam-6198	34	4	.	.	PROPN
ejpam-6198	34	5	math	math	PROPN
ejpam-6198	34	6	,	,	PUNCT
ejpam-6198	34	7	18	18	NUM
ejpam-6198	34	8	(	(	PUNCT
ejpam-6198	34	9	4	4	NUM
ejpam-6198	34	10	)	)	PUNCT
ejpam-6198	34	11	(	(	PUNCT
ejpam-6198	34	12	2025	2025	NUM
ejpam-6198	34	13	)	)	PUNCT
ejpam-6198	34	14	,	,	PUNCT
ejpam-6198	34	15	6198	6198	NUM
ejpam-6198	34	16	3	3	NUM
ejpam-6198	34	17	of	of	ADP
ejpam-6198	34	18	41	41	NUM
ejpam-6198	34	19	nomenclature	nomenclature	NOUN
ejpam-6198	34	20	[	[	X
ejpam-6198	34	21	in	in	ADP
ejpam-6198	34	22	si	si	PROPN
ejpam-6198	34	23	units	unit	NOUN
ejpam-6198	34	24	]	]	PUNCT
ejpam-6198	34	25	π1	π1	ADJ
ejpam-6198	34	26	interior	interior	ADJ
ejpam-6198	34	27	cylinder	cylinder	NOUN
ejpam-6198	34	28	radius	radius	NOUN
ejpam-6198	34	29	[	[	X
ejpam-6198	34	30	m	m	X
ejpam-6198	34	31	]	]	X
ejpam-6198	34	32	µ	µ	PRON
ejpam-6198	34	33	specific	specific	ADJ
ejpam-6198	34	34	gravity	gravity	NOUN
ejpam-6198	34	35	π2	π2	ADJ
ejpam-6198	34	36	exterior	exterior	ADJ
ejpam-6198	34	37	cylinder	cylinder	NOUN
ejpam-6198	34	38	radius	radius	NOUN
ejpam-6198	35	1	[	[	X
ejpam-6198	35	2	m	m	X
ejpam-6198	35	3	]	]	X
ejpam-6198	35	4	ϕ	ϕ	X
ejpam-6198	35	5	parameter	parameter	NOUN
ejpam-6198	35	6	of	of	ADP
ejpam-6198	35	7	porosity	porosity	NOUN
ejpam-6198	35	8	v	v	ADP
ejpam-6198	35	9	translational	translational	ADJ
ejpam-6198	35	10	velocity	velocity	NOUN
ejpam-6198	35	11	field	field	NOUN
ejpam-6198	36	1	[	[	X
ejpam-6198	36	2	m	m	X
ejpam-6198	36	3	/	/	SYM
ejpam-6198	36	4	s	s	PART
ejpam-6198	36	5	]	]	X
ejpam-6198	36	6	κ	κ	X
ejpam-6198	36	7	porous	porous	ADJ
ejpam-6198	36	8	medium	medium	ADJ
ejpam-6198	36	9	permeability	permeability	NOUN
ejpam-6198	36	10	ω	ω	NUM
ejpam-6198	36	11	rotational	rotational	ADJ
ejpam-6198	36	12	velocity	velocity	NOUN
ejpam-6198	36	13	field	field	NOUN
ejpam-6198	36	14	[	[	X
ejpam-6198	36	15	m	m	X
ejpam-6198	36	16	/	/	SYM
ejpam-6198	36	17	s	s	PART
ejpam-6198	36	18	]	]	X
ejpam-6198	36	19	gp	gp	NOUN
ejpam-6198	36	20	porosity	porosity	NOUN
ejpam-6198	36	21	constant=	constant=	PROPN
ejpam-6198	36	22	µϕ	µϕ	PROPN
ejpam-6198	36	23	k	k	PROPN
ejpam-6198	36	24	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	36	25	,	,	PUNCT
ejpam-6198	36	26	t	t	PROPN
ejpam-6198	36	27	)	)	PUNCT
ejpam-6198	36	28	tors	tor	NOUN
ejpam-6198	36	29	.	.	PUNCT
ejpam-6198	37	1	shear	shear	NOUN
ejpam-6198	37	2	stress	stress	NOUN
ejpam-6198	37	3	(	(	PUNCT
ejpam-6198	37	4	time	time	NOUN
ejpam-6198	37	5	dept	dept	PROPN
ejpam-6198	37	6	.	.	PUNCT
ejpam-6198	37	7	)	)	PUNCT
ejpam-6198	38	1	[	[	X
ejpam-6198	38	2	n	n	CCONJ
ejpam-6198	38	3	/	/	SYM
ejpam-6198	38	4	s2	s2	PROPN
ejpam-6198	38	5	]	]	PUNCT
ejpam-6198	38	6	ρ	ρ	PROPN
ejpam-6198	38	7	longitudinal	longitudinal	PROPN
ejpam-6198	38	8	component	component	PROPN
ejpam-6198	38	9	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	38	10	,	,	PUNCT
ejpam-6198	38	11	t	t	NOUN
ejpam-6198	38	12	)	)	PUNCT
ejpam-6198	38	13	longit	longit	NOUN
ejpam-6198	38	14	.	.	PUNCT
ejpam-6198	39	1	shear	shear	NOUN
ejpam-6198	39	2	stress	stress	NOUN
ejpam-6198	39	3	(	(	PUNCT
ejpam-6198	39	4	time	time	NOUN
ejpam-6198	39	5	dept	dept	PROPN
ejpam-6198	39	6	.	.	PUNCT
ejpam-6198	39	7	)	)	PUNCT
ejpam-6198	40	1	[	[	X
ejpam-6198	40	2	n	n	CCONJ
ejpam-6198	40	3	/	/	SYM
ejpam-6198	40	4	s2	s2	PROPN
ejpam-6198	40	5	]	]	PUNCT
ejpam-6198	40	6	α	α	PROPN
ejpam-6198	40	7	material	material	NOUN
ejpam-6198	40	8	/	/	SYM
ejpam-6198	40	9	fluid	fluid	NOUN
ejpam-6198	40	10	parameter	parameter	NOUN
ejpam-6198	40	11	σ	σ	ADP
ejpam-6198	40	12	electrical	electrical	ADJ
ejpam-6198	40	13	conductivity	conductivity	NOUN
ejpam-6198	40	14	of	of	ADP
ejpam-6198	40	15	fluid	fluid	NOUN
ejpam-6198	40	16	[	[	X
ejpam-6198	40	17	s	s	X
ejpam-6198	40	18	/	/	SYM
ejpam-6198	40	19	m	m	VERB
ejpam-6198	40	20	]	]	X
ejpam-6198	40	21	β	β	X
ejpam-6198	40	22	fractional	fractional	PROPN
ejpam-6198	40	23	parameter	parameter	PROPN
ejpam-6198	40	24	π0	π0	PROPN
ejpam-6198	40	25	magnitude	magnitude	NOUN
ejpam-6198	40	26	of	of	ADP
ejpam-6198	40	27	applied	apply	VERB
ejpam-6198	40	28	magnetic	magnetic	ADJ
ejpam-6198	40	29	field	field	NOUN
ejpam-6198	40	30	[	[	X
ejpam-6198	40	31	t	t	X
ejpam-6198	40	32	]	]	PUNCT
ejpam-6198	40	33	dβ	dβ	ADP
ejpam-6198	40	34	t	t	PROPN
ejpam-6198	40	35	abc	abc	PROPN
ejpam-6198	40	36	fractional	fractional	ADJ
ejpam-6198	40	37	operator	operator	NOUN
ejpam-6198	40	38	ϱ	ϱ	ADP
ejpam-6198	40	39	density	density	NOUN
ejpam-6198	40	40	of	of	ADP
ejpam-6198	40	41	fluid	fluid	NOUN
ejpam-6198	40	42	[	[	X
ejpam-6198	40	43	kg	kg	X
ejpam-6198	40	44	/	/	SYM
ejpam-6198	40	45	m3	m3	PROPN
ejpam-6198	40	46	]	]	PUNCT
ejpam-6198	40	47	ω	ω	NUM
ejpam-6198	40	48	laplace	laplace	PROPN
ejpam-6198	40	49	transform	transform	NOUN
ejpam-6198	40	50	of	of	ADP
ejpam-6198	40	51	ω	ω	NUM
ejpam-6198	40	52	gm	gm	PROPN
ejpam-6198	40	53	magnetic	magnetic	PROPN
ejpam-6198	40	54	constant=	constant=	PROPN
ejpam-6198	40	55	σπ2	σπ2	NOUN
ejpam-6198	40	56	o	o	NOUN
ejpam-6198	40	57	ϱ	ϱ	ADP
ejpam-6198	40	58	v	v	PRON
ejpam-6198	40	59	laplace	laplace	NOUN
ejpam-6198	40	60	transform	transform	NOUN
ejpam-6198	40	61	of	of	ADP
ejpam-6198	40	62	v	v	NOUN
ejpam-6198	40	63	η	η	NOUN
ejpam-6198	40	64	dynamic	dynamic	ADJ
ejpam-6198	40	65	viscosity	viscosity	NOUN
ejpam-6198	40	66	[	[	X
ejpam-6198	40	67	pa	pa	PROPN
ejpam-6198	40	68	s	s	X
ejpam-6198	40	69	]	]	X
ejpam-6198	40	70	wh	wh	NOUN
ejpam-6198	40	71	hankel	hankel	NOUN
ejpam-6198	40	72	transform	transform	NOUN
ejpam-6198	40	73	of	of	ADP
ejpam-6198	40	74	ω	ω	NUM
ejpam-6198	40	75	ν	ν	NOUN
ejpam-6198	40	76	=	=	SYM
ejpam-6198	40	77	η/ϱ	η/ϱ	PROPN
ejpam-6198	40	78	kinematic	kinematic	ADJ
ejpam-6198	40	79	viscosity	viscosity	NOUN
ejpam-6198	40	80	[	[	X
ejpam-6198	40	81	m2	m2	PROPN
ejpam-6198	40	82	/	/	SYM
ejpam-6198	40	83	s	s	PROPN
ejpam-6198	40	84	]	]	X
ejpam-6198	40	85	vh	vh	PROPN
ejpam-6198	40	86	hankel	hankel	NOUN
ejpam-6198	40	87	transform	transform	NOUN
ejpam-6198	40	88	of	of	ADP
ejpam-6198	40	89	v	v	PROPN
ejpam-6198	40	90	ma	ma	PROPN
ejpam-6198	40	91	,	,	PUNCT
ejpam-6198	40	92	b	b	PROPN
ejpam-6198	40	93	c	c	PROPN
ejpam-6198	40	94	special	special	ADJ
ejpam-6198	40	95	function	function	NOUN
ejpam-6198	40	96	m(ω	m(ω	PROPN
ejpam-6198	40	97	,	,	PUNCT
ejpam-6198	40	98	τ	τ	NOUN
ejpam-6198	40	99	)	)	PUNCT
ejpam-6198	40	100	environmental	environmental	ADJ
ejpam-6198	40	101	science	science	NOUN
ejpam-6198	40	102	,	,	PUNCT
ejpam-6198	40	103	macroeconomic	macroeconomic	ADJ
ejpam-6198	40	104	modelings	modeling	NOUN
ejpam-6198	40	105	,	,	PUNCT
ejpam-6198	40	106	interdisciplinary	interdisciplinary	ADJ
ejpam-6198	40	107	materials	material	NOUN
ejpam-6198	40	108	science	science	NOUN
ejpam-6198	40	109	,	,	PUNCT
ejpam-6198	40	110	and	and	CCONJ
ejpam-6198	40	111	multidisciplinary	multidisciplinary	ADJ
ejpam-6198	40	112	engineering	engineering	NOUN
ejpam-6198	40	113	.	.	PUNCT
ejpam-6198	41	1	faraz	faraz	PROPN
ejpam-6198	41	2	et	et	PROPN
ejpam-6198	41	3	al.[11	al.[11	PROPN
ejpam-6198	41	4	]	]	PUNCT
ejpam-6198	41	5	redesigned	redesign	VERB
ejpam-6198	41	6	some	some	DET
ejpam-6198	41	7	models	model	NOUN
ejpam-6198	41	8	,	,	PUNCT
ejpam-6198	41	9	those	those	PRON
ejpam-6198	41	10	are	be	AUX
ejpam-6198	41	11	regularly	regularly	ADV
ejpam-6198	41	12	adopted	adopt	VERB
ejpam-6198	41	13	modern	modern	ADJ
ejpam-6198	41	14	day	day	NOUN
ejpam-6198	41	15	researchers	researcher	NOUN
ejpam-6198	41	16	,	,	PUNCT
ejpam-6198	41	17	employ	employ	VERB
ejpam-6198	41	18	fractional	fractional	ADJ
ejpam-6198	41	19	operators	operator	NOUN
ejpam-6198	41	20	to	to	PART
ejpam-6198	41	21	examine	examine	VERB
ejpam-6198	41	22	an	an	DET
ejpam-6198	41	23	extensive	extensive	ADJ
ejpam-6198	41	24	study	study	NOUN
ejpam-6198	41	25	of	of	ADP
ejpam-6198	41	26	preventive	preventive	ADJ
ejpam-6198	41	27	steps	step	NOUN
ejpam-6198	41	28	for	for	ADP
ejpam-6198	41	29	covid-19	covid-19	PROPN
ejpam-6198	41	30	.	.	PUNCT
ejpam-6198	42	1	anwar	anwar	PROPN
ejpam-6198	42	2	et	et	PROPN
ejpam-6198	42	3	al.[12	al.[12	PROPN
ejpam-6198	42	4	]	]	PUNCT
ejpam-6198	42	5	provided	provide	VERB
ejpam-6198	42	6	a	a	DET
ejpam-6198	42	7	more	more	ADV
ejpam-6198	42	8	detailed	detailed	ADJ
ejpam-6198	42	9	explanation	explanation	NOUN
ejpam-6198	42	10	of	of	ADP
ejpam-6198	42	11	the	the	DET
ejpam-6198	42	12	technical	technical	ADJ
ejpam-6198	42	13	work	work	NOUN
ejpam-6198	42	14	introduced	introduce	VERB
ejpam-6198	42	15	by	by	ADP
ejpam-6198	42	16	caputo	caputo	PROPN
ejpam-6198	42	17	,	,	PUNCT
ejpam-6198	42	18	fabrizio	fabrizio	PROPN
ejpam-6198	42	19	,	,	PUNCT
ejpam-6198	42	20	and	and	CCONJ
ejpam-6198	42	21	atangana	atangana	NOUN
ejpam-6198	42	22	on	on	ADP
ejpam-6198	42	23	time	time	NOUN
ejpam-6198	42	24	and	and	CCONJ
ejpam-6198	42	25	spatial	spatial	ADJ
ejpam-6198	42	26	variables	variable	NOUN
ejpam-6198	42	27	with	with	ADP
ejpam-6198	42	28	real	real	ADJ
ejpam-6198	42	29	life	life	NOUN
ejpam-6198	42	30	cases	case	NOUN
ejpam-6198	42	31	.	.	PUNCT
ejpam-6198	43	1	the	the	DET
ejpam-6198	43	2	most	most	ADV
ejpam-6198	43	3	recent	recent	ADJ
ejpam-6198	43	4	notable	notable	ADJ
ejpam-6198	43	5	work	work	NOUN
ejpam-6198	43	6	of	of	ADP
ejpam-6198	43	7	fractional	fractional	ADJ
ejpam-6198	43	8	differential	differential	ADJ
ejpam-6198	43	9	operators	operator	NOUN
ejpam-6198	43	10	on	on	ADP
ejpam-6198	43	11	fluid	fluid	ADJ
ejpam-6198	43	12	dynamics	dynamic	NOUN
ejpam-6198	43	13	are	be	AUX
ejpam-6198	43	14	;	;	PUNCT
ejpam-6198	43	15	anwar	anwar	PROPN
ejpam-6198	43	16	et	et	PROPN
ejpam-6198	43	17	al.[13	al.[13	NOUN
ejpam-6198	43	18	]	]	PUNCT
ejpam-6198	43	19	analyzed	analyze	VERB
ejpam-6198	43	20	multiparametric	multiparametric	ADJ
ejpam-6198	43	21	fractional	fractional	ADJ
ejpam-6198	43	22	operator	operator	NOUN
ejpam-6198	43	23	on	on	ADP
ejpam-6198	43	24	the	the	DET
ejpam-6198	43	25	mixture	mixture	NOUN
ejpam-6198	43	26	of	of	ADP
ejpam-6198	43	27	aluminum	aluminum	NOUN
ejpam-6198	43	28	and	and	CCONJ
ejpam-6198	43	29	titanium	titanium	NOUN
ejpam-6198	43	30	while	while	SCONJ
ejpam-6198	43	31	asifa	asifa	PROPN
ejpam-6198	43	32	et	et	PROPN
ejpam-6198	43	33	al.[14	al.[14	PROPN
ejpam-6198	43	34	]	]	PUNCT
ejpam-6198	43	35	investigated	investigate	VERB
ejpam-6198	43	36	prabhakar	prabhakar	NOUN
ejpam-6198	43	37	fractional	fractional	ADJ
ejpam-6198	43	38	operator	operator	NOUN
ejpam-6198	43	39	on	on	ADP
ejpam-6198	43	40	heat	heat	NOUN
ejpam-6198	43	41	transfer	transfer	NOUN
ejpam-6198	43	42	of	of	ADP
ejpam-6198	43	43	hybrid	hybrid	ADJ
ejpam-6198	43	44	nanofluid	nanofluid	NOUN
ejpam-6198	43	45	.	.	PUNCT
ejpam-6198	44	1	many	many	ADJ
ejpam-6198	44	2	research	research	NOUN
ejpam-6198	44	3	scholars	scholar	NOUN
ejpam-6198	44	4	are	be	AUX
ejpam-6198	44	5	also	also	ADV
ejpam-6198	44	6	attracted	attract	VERB
ejpam-6198	44	7	towards	towards	ADP
ejpam-6198	44	8	the	the	DET
ejpam-6198	44	9	practical	practical	ADJ
ejpam-6198	44	10	applications	application	NOUN
ejpam-6198	44	11	of	of	ADP
ejpam-6198	44	12	fraction	fraction	NOUN
ejpam-6198	44	13	differential	differential	NOUN
ejpam-6198	44	14	operators	operator	NOUN
ejpam-6198	44	15	on	on	ADP
ejpam-6198	44	16	magnetohydrodynamics(mhd	magnetohydrodynamics(mhd	NOUN
ejpam-6198	44	17	)	)	PUNCT
ejpam-6198	44	18	and	and	CCONJ
ejpam-6198	44	19	other	other	ADJ
ejpam-6198	44	20	phenomena[15–18	phenomena[15–18	PROPN
ejpam-6198	44	21	]	]	PUNCT
ejpam-6198	44	22	.	.	PUNCT
ejpam-6198	45	1	special	special	ADJ
ejpam-6198	45	2	generalized	generalize	VERB
ejpam-6198	45	3	functions	function	NOUN
ejpam-6198	45	4	in	in	ADP
ejpam-6198	45	5	fractional	fractional	ADJ
ejpam-6198	45	6	calculus	calculus	NOUN
ejpam-6198	45	7	are	be	AUX
ejpam-6198	45	8	growing	grow	VERB
ejpam-6198	45	9	as	as	ADP
ejpam-6198	45	10	one	one	NUM
ejpam-6198	45	11	of	of	ADP
ejpam-6198	45	12	the	the	DET
ejpam-6198	45	13	essential	essential	ADJ
ejpam-6198	45	14	tools	tool	NOUN
ejpam-6198	45	15	to	to	PART
ejpam-6198	45	16	represent	represent	VERB
ejpam-6198	45	17	the	the	DET
ejpam-6198	45	18	outcomes	outcome	NOUN
ejpam-6198	45	19	.	.	PUNCT
ejpam-6198	46	1	kiryakova[19	kiryakova[19	X
ejpam-6198	46	2	]	]	PUNCT
ejpam-6198	46	3	conducted	conduct	VERB
ejpam-6198	46	4	the	the	DET
ejpam-6198	46	5	survey	survey	NOUN
ejpam-6198	46	6	and	and	CCONJ
ejpam-6198	46	7	discussed	discuss	VERB
ejpam-6198	46	8	the	the	DET
ejpam-6198	46	9	special	special	ADJ
ejpam-6198	46	10	functions	function	NOUN
ejpam-6198	46	11	in	in	ADP
ejpam-6198	46	12	depth	depth	NOUN
ejpam-6198	46	13	like	like	ADP
ejpam-6198	46	14	meijer	meijer	NOUN
ejpam-6198	46	15	g	g	NOUN
ejpam-6198	46	16	-	-	PUNCT
ejpam-6198	46	17	function	function	NOUN
ejpam-6198	46	18	,	,	PUNCT
ejpam-6198	46	19	generalized	generalize	VERB
ejpam-6198	46	20	hypergeometric	hypergeometric	ADJ
ejpam-6198	46	21	functions	function	NOUN
ejpam-6198	46	22	pfq	pfq	PROPN
ejpam-6198	46	23	,	,	PUNCT
ejpam-6198	46	24	 	 	SPACE
ejpam-6198	46	25	wright	wright	PROPN
ejpam-6198	46	26	generalized	generalize	VERB
ejpam-6198	46	27	hypergeometric	hypergeometric	ADJ
ejpam-6198	46	28	functions	function	NOUN
ejpam-6198	46	29	qψp	qψp	PROPN
ejpam-6198	46	30	,	,	PUNCT
ejpam-6198	46	31	fox	fox	PROPN
ejpam-6198	46	32	h	h	NOUN
ejpam-6198	46	33	-	-	PUNCT
ejpam-6198	46	34	functions	function	NOUN
ejpam-6198	46	35	,	,	PUNCT
ejpam-6198	46	36	mittag	mittag	ADJ
ejpam-6198	46	37	-	-	PUNCT
ejpam-6198	46	38	leffler	leffler	NOUN
ejpam-6198	46	39	type	type	NOUN
ejpam-6198	46	40	functions	function	NOUN
ejpam-6198	46	41	in	in	ADP
ejpam-6198	46	42	fractional	fractional	ADJ
ejpam-6198	46	43	calculus	calculus	NOUN
ejpam-6198	46	44	.	.	PUNCT
ejpam-6198	47	1	mathai	mathai	PROPN
ejpam-6198	47	2	et	et	PROPN
ejpam-6198	47	3	al.[20	al.[20	PROPN
ejpam-6198	47	4	]	]	PUNCT
ejpam-6198	47	5	in	in	ADP
ejpam-6198	47	6	his	his	PRON
ejpam-6198	47	7	publication	publication	NOUN
ejpam-6198	47	8	,	,	PUNCT
ejpam-6198	47	9	dedicated	dedicate	VERB
ejpam-6198	47	10	an	an	DET
ejpam-6198	47	11	exclusive	exclusive	ADJ
ejpam-6198	47	12	section	section	NOUN
ejpam-6198	47	13	on	on	ADP
ejpam-6198	47	14	fractional	fractional	ADJ
ejpam-6198	47	15	calculus	calculus	NOUN
ejpam-6198	47	16	in	in	ADP
ejpam-6198	47	17	which	which	PRON
ejpam-6198	47	18	he	he	PRON
ejpam-6198	47	19	connected	connect	VERB
ejpam-6198	47	20	fraction	fraction	NOUN
ejpam-6198	47	21	differential	differential	NOUN
ejpam-6198	47	22	and	and	CCONJ
ejpam-6198	47	23	fractional	fractional	ADJ
ejpam-6198	47	24	integral	integral	ADJ
ejpam-6198	47	25	operators	operator	NOUN
ejpam-6198	47	26	to	to	ADP
ejpam-6198	47	27	h	h	NOUN
ejpam-6198	47	28	-	-	PUNCT
ejpam-6198	47	29	function	function	NOUN
ejpam-6198	47	30	and	and	CCONJ
ejpam-6198	47	31	examined	examine	VERB
ejpam-6198	47	32	thoroughly	thoroughly	ADV
ejpam-6198	47	33	all	all	DET
ejpam-6198	47	34	famous	famous	ADJ
ejpam-6198	47	35	fractional	fractional	ADJ
ejpam-6198	47	36	operators	operator	NOUN
ejpam-6198	47	37	.	.	PUNCT
ejpam-6198	48	1	qureshi[21	qureshi[21	PUNCT
ejpam-6198	48	2	]	]	PUNCT
ejpam-6198	48	3	investigated	investigate	VERB
ejpam-6198	48	4	the	the	DET
ejpam-6198	48	5	mass	mass	ADJ
ejpam-6198	48	6	-	-	PUNCT
ejpam-6198	48	7	spring	spring	NOUN
ejpam-6198	48	8	-	-	PUNCT
ejpam-6198	48	9	damper	damper	NOUN
ejpam-6198	48	10	mechanical	mechanical	ADJ
ejpam-6198	48	11	engineering	engineering	NOUN
ejpam-6198	48	12	model	model	NOUN
ejpam-6198	48	13	through	through	ADP
ejpam-6198	48	14	the	the	DET
ejpam-6198	48	15	caputo	caputo	PROPN
ejpam-6198	48	16	fractional	fractional	PROPN
ejpam-6198	48	17	operator	operator	NOUN
ejpam-6198	48	18	,	,	PUNCT
ejpam-6198	48	19	earned	earn	VERB
ejpam-6198	48	20	the	the	DET
ejpam-6198	48	21	exact	exact	ADJ
ejpam-6198	48	22	solution	solution	NOUN
ejpam-6198	48	23	and	and	CCONJ
ejpam-6198	48	24	connected	connect	VERB
ejpam-6198	48	25	it	it	PRON
ejpam-6198	48	26	with	with	ADP
ejpam-6198	48	27	the	the	DET
ejpam-6198	48	28	fox	fox	PROPN
ejpam-6198	48	29	h	h	NOUN
ejpam-6198	48	30	-	-	PUNCT
ejpam-6198	48	31	function	function	NOUN
ejpam-6198	48	32	.	.	PUNCT
ejpam-6198	49	1	ali	ali	PROPN
ejpam-6198	49	2	et	et	PROPN
ejpam-6198	49	3	al.[22	al.[22	PROPN
ejpam-6198	49	4	]	]	PUNCT
ejpam-6198	49	5	contemplated	contemplate	VERB
ejpam-6198	49	6	casson	casson	PROPN
ejpam-6198	49	7	fluid	fluid	NOUN
ejpam-6198	49	8	in	in	ADP
ejpam-6198	49	9	generalized	generalized	ADJ
ejpam-6198	49	10	form	form	NOUN
ejpam-6198	49	11	with	with	ADP
ejpam-6198	49	12	heat	heat	NOUN
ejpam-6198	49	13	transfer	transfer	NOUN
ejpam-6198	49	14	,	,	PUNCT
ejpam-6198	49	15	applied	apply	VERB
ejpam-6198	49	16	caputo	caputo	PROPN
ejpam-6198	49	17	fractional	fractional	PROPN
ejpam-6198	49	18	derivative	derivative	PROPN
ejpam-6198	49	19	for	for	ADP
ejpam-6198	49	20	mathematical	mathematical	ADJ
ejpam-6198	49	21	modeling	modeling	NOUN
ejpam-6198	49	22	,	,	PUNCT
ejpam-6198	49	23	and	and	CCONJ
ejpam-6198	49	24	established	establish	VERB
ejpam-6198	49	25	the	the	DET
ejpam-6198	49	26	result	result	NOUN
ejpam-6198	49	27	in	in	ADP
ejpam-6198	49	28	the	the	DET
ejpam-6198	49	29	wright	wright	PROPN
ejpam-6198	49	30	function	function	PROPN
ejpam-6198	49	31	φ(a	φ(a	PROPN
ejpam-6198	49	32	,	,	PUNCT
ejpam-6198	49	33	α	α	PROPN
ejpam-6198	49	34	,	,	PUNCT
ejpam-6198	49	35	τ	τ	PROPN
ejpam-6198	49	36	)	)	PUNCT
ejpam-6198	49	37	.	.	PUNCT
ejpam-6198	50	1	sharma	sharma	PROPN
ejpam-6198	50	2	and	and	CCONJ
ejpam-6198	50	3	jain[23	jain[23	PROPN
ejpam-6198	50	4	]	]	X
ejpam-6198	50	5	explained	explain	VERB
ejpam-6198	50	6	the	the	DET
ejpam-6198	50	7	generm	generm	NOUN
ejpam-6198	50	8	.	.	PUNCT
ejpam-6198	51	1	zafarullah	zafarullah	PROPN
ejpam-6198	51	2	et	et	PROPN
ejpam-6198	51	3	al	al	PROPN
ejpam-6198	51	4	.	.	PUNCT
ejpam-6198	51	5	/	/	SYM
ejpam-6198	51	6	eur	eur	PROPN
ejpam-6198	51	7	.	.	PUNCT
ejpam-6198	52	1	j.	j.	PROPN
ejpam-6198	52	2	pure	pure	PROPN
ejpam-6198	52	3	appl	appl	PROPN
ejpam-6198	52	4	.	.	PROPN
ejpam-6198	52	5	math	math	PROPN
ejpam-6198	52	6	,	,	PUNCT
ejpam-6198	52	7	18	18	NUM
ejpam-6198	52	8	(	(	PUNCT
ejpam-6198	52	9	4	4	NUM
ejpam-6198	52	10	)	)	PUNCT
ejpam-6198	52	11	(	(	PUNCT
ejpam-6198	52	12	2025	2025	NUM
ejpam-6198	52	13	)	)	PUNCT
ejpam-6198	52	14	,	,	PUNCT
ejpam-6198	52	15	6198	6198	NUM
ejpam-6198	52	16	4	4	NUM
ejpam-6198	52	17	of	of	ADP
ejpam-6198	52	18	41	41	NUM
ejpam-6198	52	19	alized	alize	VERB
ejpam-6198	52	20	m	m	NOUN
ejpam-6198	52	21	-	-	PUNCT
ejpam-6198	52	22	series	series	NOUN
ejpam-6198	52	23	α	α	NOUN
ejpam-6198	52	24	pmβq	pmβq	NOUN
ejpam-6198	52	25	,	,	PUNCT
ejpam-6198	52	26	its	its	PRON
ejpam-6198	52	27	relations	relation	NOUN
ejpam-6198	52	28	with	with	ADP
ejpam-6198	52	29	wright	wright	PROPN
ejpam-6198	52	30	generalized	generalize	VERB
ejpam-6198	52	31	hypergeometric	hypergeometric	ADJ
ejpam-6198	52	32	function	function	NOUN
ejpam-6198	52	33	,	,	PUNCT
ejpam-6198	52	34	fox	fox	PROPN
ejpam-6198	52	35	h	h	NOUN
ejpam-6198	52	36	-	-	PUNCT
ejpam-6198	52	37	function	function	NOUN
ejpam-6198	52	38	,	,	PUNCT
ejpam-6198	52	39	and	and	CCONJ
ejpam-6198	52	40	generalized	generalize	VERB
ejpam-6198	52	41	mittag	mittag	ADJ
ejpam-6198	52	42	-	-	PUNCT
ejpam-6198	52	43	leffler	leffler	NOUN
ejpam-6198	52	44	function	function	NOUN
ejpam-6198	52	45	,	,	PUNCT
ejpam-6198	52	46	and	and	CCONJ
ejpam-6198	52	47	link	link	VERB
ejpam-6198	52	48	to	to	ADP
ejpam-6198	52	49	fractional	fractional	ADJ
ejpam-6198	52	50	integrals	integral	NOUN
ejpam-6198	52	51	and	and	CCONJ
ejpam-6198	52	52	derivatives	derivative	NOUN
ejpam-6198	52	53	.	.	PUNCT
ejpam-6198	53	1	jamil	jamil	PROPN
ejpam-6198	53	2	et	et	PROPN
ejpam-6198	53	3	al.[24	al.[24	PROPN
ejpam-6198	53	4	]	]	PUNCT
ejpam-6198	53	5	worked	work	VERB
ejpam-6198	53	6	on	on	ADP
ejpam-6198	53	7	fractionalized	fractionalize	VERB
ejpam-6198	53	8	mhd	mhd	PROPN
ejpam-6198	53	9	maxwell	maxwell	PROPN
ejpam-6198	53	10	fluid	fluid	NOUN
ejpam-6198	53	11	and	and	CCONJ
ejpam-6198	53	12	show	show	VERB
ejpam-6198	53	13	their	their	PRON
ejpam-6198	53	14	outcomes	outcome	NOUN
ejpam-6198	53	15	in	in	ADP
ejpam-6198	53	16	newly	newly	ADV
ejpam-6198	53	17	defined	define	VERB
ejpam-6198	53	18	m	m	NOUN
ejpam-6198	53	19	-	-	NOUN
ejpam-6198	53	20	function	function	NOUN
ejpam-6198	53	21	m	m	NOUN
ejpam-6198	53	22	q	q	NOUN
ejpam-6198	53	23	p	p	NOUN
ejpam-6198	53	24	and	and	CCONJ
ejpam-6198	53	25	its	its	PRON
ejpam-6198	53	26	relationship	relationship	NOUN
ejpam-6198	53	27	with	with	ADP
ejpam-6198	53	28	wright	wright	PROPN
ejpam-6198	53	29	function	function	PROPN
ejpam-6198	53	30	qψp	qψp	PROPN
ejpam-6198	53	31	is	be	AUX
ejpam-6198	53	32	as	as	ADP
ejpam-6198	53	33	mp	mp	PROPN
ejpam-6198	53	34	q	q	PROPN
ejpam-6198	53	35	(	(	PUNCT
ejpam-6198	53	36	z	z	NOUN
ejpam-6198	53	37	)	)	PUNCT
ejpam-6198	53	38	=	=	PUNCT
ejpam-6198	54	1	tbq−1	tbq−1	PROPN
ejpam-6198	54	2	qψp(z	qψp(z	PROPN
ejpam-6198	54	3	)	)	PUNCT
ejpam-6198	54	4	.	.	PUNCT
ejpam-6198	55	1	their	their	PRON
ejpam-6198	55	2	newly	newly	ADV
ejpam-6198	55	3	prescribed	prescribe	VERB
ejpam-6198	55	4	m	m	NOUN
ejpam-6198	55	5	-	-	PUNCT
ejpam-6198	55	6	function	function	NOUN
ejpam-6198	55	7	is	be	AUX
ejpam-6198	55	8	the	the	DET
ejpam-6198	55	9	simpler	simple	ADJ
ejpam-6198	55	10	form	form	NOUN
ejpam-6198	55	11	of	of	ADP
ejpam-6198	55	12	the	the	DET
ejpam-6198	55	13	wright	wright	PROPN
ejpam-6198	55	14	function	function	PROPN
ejpam-6198	55	15	.	.	PUNCT
ejpam-6198	56	1	figure	figure	VERB
ejpam-6198	56	2	1	1	NUM
ejpam-6198	56	3	:	:	PUNCT
ejpam-6198	56	4	physical	physical	ADJ
ejpam-6198	56	5	structure	structure	NOUN
ejpam-6198	56	6	of	of	ADP
ejpam-6198	56	7	the	the	DET
ejpam-6198	56	8	discussion	discussion	NOUN
ejpam-6198	56	9	:	:	PUNCT
ejpam-6198	56	10	helical	helical	ADJ
ejpam-6198	56	11	motion	motion	NOUN
ejpam-6198	56	12	of	of	ADP
ejpam-6198	56	13	fluid	fluid	NOUN
ejpam-6198	56	14	in	in	ADP
ejpam-6198	56	15	the	the	DET
ejpam-6198	56	16	coaxial	coaxial	ADJ
ejpam-6198	56	17	circular	circular	ADJ
ejpam-6198	56	18	cylinders	cylinder	NOUN
ejpam-6198	56	19	—	—	PUNCT
ejpam-6198	56	20	—	—	PUNCT
ejpam-6198	56	21	—	—	PUNCT
ejpam-6198	56	22	—	—	PUNCT
ejpam-6198	56	23	—	—	PUNCT
ejpam-6198	56	24	—	—	PUNCT
ejpam-6198	56	25	—	—	PUNCT
ejpam-6198	56	26	—	—	PUNCT
ejpam-6198	56	27	—	—	PUNCT
ejpam-6198	56	28	—	—	PUNCT
ejpam-6198	56	29	—	—	PUNCT
ejpam-6198	56	30	—	—	PUNCT
ejpam-6198	56	31	—	—	PUNCT
ejpam-6198	56	32	–	–	PUNCT
ejpam-6198	56	33	the	the	DET
ejpam-6198	56	34	helical	helical	ADJ
ejpam-6198	56	35	flow	flow	NOUN
ejpam-6198	56	36	of	of	ADP
ejpam-6198	56	37	non	non	ADJ
ejpam-6198	56	38	-	-	ADJ
ejpam-6198	56	39	newtonian	newtonian	ADJ
ejpam-6198	56	40	fluid	fluid	NOUN
ejpam-6198	56	41	in	in	ADP
ejpam-6198	56	42	the	the	DET
ejpam-6198	56	43	cylindrical	cylindrical	ADJ
ejpam-6198	56	44	zone	zone	NOUN
ejpam-6198	56	45	is	be	AUX
ejpam-6198	56	46	utilized	utilize	VERB
ejpam-6198	56	47	regularly	regularly	ADV
ejpam-6198	56	48	in	in	ADP
ejpam-6198	56	49	experimental	experimental	ADJ
ejpam-6198	56	50	and	and	CCONJ
ejpam-6198	56	51	theoretical	theoretical	ADJ
ejpam-6198	56	52	research[25	research[25	NOUN
ejpam-6198	56	53	,	,	PUNCT
ejpam-6198	56	54	26	26	NUM
ejpam-6198	56	55	]	]	PUNCT
ejpam-6198	56	56	.	.	PUNCT
ejpam-6198	57	1	bayat	bayat	PROPN
ejpam-6198	57	2	et	et	PROPN
ejpam-6198	57	3	al.[27	al.[27	PROPN
ejpam-6198	57	4	]	]	PUNCT
ejpam-6198	57	5	worked	work	VERB
ejpam-6198	57	6	on	on	ADP
ejpam-6198	57	7	the	the	DET
ejpam-6198	57	8	human	human	ADJ
ejpam-6198	57	9	eye	eye	NOUN
ejpam-6198	57	10	and	and	CCONJ
ejpam-6198	57	11	examined	examine	VERB
ejpam-6198	57	12	the	the	DET
ejpam-6198	57	13	partial	partial	ADJ
ejpam-6198	57	14	vitreous	vitreous	ADJ
ejpam-6198	57	15	liquefaction	liquefaction	NOUN
ejpam-6198	57	16	flow	flow	NOUN
ejpam-6198	57	17	.	.	PUNCT
ejpam-6198	58	1	in	in	ADP
ejpam-6198	58	2	the	the	DET
ejpam-6198	58	3	article	article	NOUN
ejpam-6198	58	4	,	,	PUNCT
ejpam-6198	58	5	he	he	PRON
ejpam-6198	58	6	also	also	ADV
ejpam-6198	58	7	explained	explain	VERB
ejpam-6198	58	8	exclusively	exclusively	ADV
ejpam-6198	58	9	the	the	DET
ejpam-6198	58	10	behavior	behavior	NOUN
ejpam-6198	58	11	of	of	ADP
ejpam-6198	58	12	newtonian	newtonian	ADJ
ejpam-6198	58	13	and	and	CCONJ
ejpam-6198	58	14	non	non	ADJ
ejpam-6198	58	15	-	-	ADJ
ejpam-6198	58	16	newtonian	newtonian	ADJ
ejpam-6198	58	17	fluids	fluid	NOUN
ejpam-6198	58	18	by	by	ADP
ejpam-6198	58	19	the	the	DET
ejpam-6198	58	20	weissenberg	weissenberg	PROPN
ejpam-6198	58	21	effect	effect	NOUN
ejpam-6198	58	22	and	and	CCONJ
ejpam-6198	58	23	showed	show	VERB
ejpam-6198	58	24	the	the	DET
ejpam-6198	58	25	simulation	simulation	NOUN
ejpam-6198	58	26	and	and	CCONJ
ejpam-6198	58	27	its	its	PRON
ejpam-6198	58	28	numerical	numerical	ADJ
ejpam-6198	58	29	result	result	NOUN
ejpam-6198	58	30	,	,	PUNCT
ejpam-6198	58	31	such	such	ADJ
ejpam-6198	58	32	flow	flow	NOUN
ejpam-6198	58	33	produced	produce	VERB
ejpam-6198	58	34	helices	helix	NOUN
ejpam-6198	58	35	but	but	CCONJ
ejpam-6198	58	36	in	in	ADP
ejpam-6198	58	37	opposite	opposite	ADJ
ejpam-6198	58	38	directions	direction	NOUN
ejpam-6198	58	39	.	.	PUNCT
ejpam-6198	59	1	alharbi	alharbi	PROPN
ejpam-6198	59	2	et	et	PROPN
ejpam-6198	59	3	al.[28	al.[28	PROPN
ejpam-6198	59	4	]	]	PUNCT
ejpam-6198	59	5	investigated	investigate	VERB
ejpam-6198	59	6	the	the	DET
ejpam-6198	59	7	properties	property	NOUN
ejpam-6198	59	8	of	of	ADP
ejpam-6198	59	9	helically	helically	ADV
ejpam-6198	59	10	pressureinduced	pressureinduce	VERB
ejpam-6198	59	11	flow	flow	NOUN
ejpam-6198	59	12	in	in	ADP
ejpam-6198	59	13	coaxial	coaxial	ADJ
ejpam-6198	59	14	cylinders	cylinder	NOUN
ejpam-6198	59	15	,	,	PUNCT
ejpam-6198	59	16	also	also	ADV
ejpam-6198	59	17	known	know	VERB
ejpam-6198	59	18	as	as	ADP
ejpam-6198	59	19	poiseuille	poiseuille	NOUN
ejpam-6198	59	20	flow	flow	NOUN
ejpam-6198	59	21	,	,	PUNCT
ejpam-6198	59	22	of	of	ADP
ejpam-6198	59	23	the	the	DET
ejpam-6198	59	24	bingham	bingham	PROPN
ejpam-6198	59	25	fluids	fluid	NOUN
ejpam-6198	59	26	.	.	PUNCT
ejpam-6198	60	1	bingham	bingham	PROPN
ejpam-6198	60	2	fluid	fluid	NOUN
ejpam-6198	60	3	is	be	AUX
ejpam-6198	60	4	sometimes	sometimes	ADV
ejpam-6198	60	5	referred	refer	VERB
ejpam-6198	60	6	to	to	ADP
ejpam-6198	60	7	as	as	ADP
ejpam-6198	60	8	concrete	concrete	ADJ
ejpam-6198	60	9	in	in	ADP
ejpam-6198	60	10	civil	civil	ADJ
ejpam-6198	60	11	engineering	engineering	NOUN
ejpam-6198	60	12	and	and	CCONJ
ejpam-6198	60	13	mud	mud	NOUN
ejpam-6198	60	14	during	during	ADP
ejpam-6198	60	15	drilling	drilling	NOUN
ejpam-6198	60	16	in	in	ADP
ejpam-6198	60	17	the	the	DET
ejpam-6198	60	18	ground	ground	NOUN
ejpam-6198	60	19	.	.	PUNCT
ejpam-6198	61	1	worku	worku	PROPN
ejpam-6198	61	2	et	et	PROPN
ejpam-6198	61	3	al.[29	al.[29	PROPN
ejpam-6198	61	4	]	]	PUNCT
ejpam-6198	61	5	developed	develop	VERB
ejpam-6198	61	6	the	the	DET
ejpam-6198	61	7	multi	multi	ADJ
ejpam-6198	61	8	-	-	ADJ
ejpam-6198	61	9	linear	linear	ADJ
ejpam-6198	61	10	regression	regression	NOUN
ejpam-6198	61	11	modeling	modeling	NOUN
ejpam-6198	61	12	of	of	ADP
ejpam-6198	61	13	pharmaceutical	pharmaceutical	ADJ
ejpam-6198	61	14	power	power	NOUN
ejpam-6198	61	15	having	have	VERB
ejpam-6198	61	16	ingredients	ingredient	NOUN
ejpam-6198	61	17	in	in	ADP
ejpam-6198	61	18	bulk	bulk	ADJ
ejpam-6198	61	19	quantity	quantity	NOUN
ejpam-6198	61	20	which	which	PRON
ejpam-6198	61	21	is	be	AUX
ejpam-6198	61	22	used	use	VERB
ejpam-6198	61	23	to	to	PART
ejpam-6198	61	24	manufacture	manufacture	VERB
ejpam-6198	61	25	the	the	DET
ejpam-6198	61	26	solid	solid	ADJ
ejpam-6198	61	27	dosage	dosage	NOUN
ejpam-6198	61	28	in	in	ADP
ejpam-6198	61	29	the	the	DET
ejpam-6198	61	30	form	form	NOUN
ejpam-6198	61	31	of	of	ADP
ejpam-6198	61	32	tablets	tablet	NOUN
ejpam-6198	61	33	and	and	CCONJ
ejpam-6198	61	34	capsules	capsule	NOUN
ejpam-6198	61	35	in	in	ADP
ejpam-6198	61	36	a	a	DET
ejpam-6198	61	37	cylinder	cylinder	NOUN
ejpam-6198	61	38	with	with	ADP
ejpam-6198	61	39	the	the	DET
ejpam-6198	61	40	rotating	rotate	VERB
ejpam-6198	61	41	helical	helical	ADJ
ejpam-6198	61	42	blade	blade	NOUN
ejpam-6198	61	43	for	for	ADP
ejpam-6198	61	44	mixing	mix	VERB
ejpam-6198	61	45	.	.	PUNCT
ejpam-6198	62	1	jamil	jamil	PROPN
ejpam-6198	62	2	et	et	PROPN
ejpam-6198	62	3	al.[30	al.[30	PROPN
ejpam-6198	62	4	]	]	PUNCT
ejpam-6198	62	5	and	and	CCONJ
ejpam-6198	62	6	kamran	kamran	PROPN
ejpam-6198	62	7	et	et	PROPN
ejpam-6198	62	8	al.[31	al.[31	PROPN
ejpam-6198	62	9	]	]	PUNCT
ejpam-6198	62	10	separately	separately	ADV
ejpam-6198	62	11	considered	consider	VERB
ejpam-6198	62	12	the	the	DET
ejpam-6198	62	13	helical	helical	ADJ
ejpam-6198	62	14	flow	flow	NOUN
ejpam-6198	62	15	of	of	ADP
ejpam-6198	62	16	maxwell	maxwell	PROPN
ejpam-6198	62	17	fluid	fluid	NOUN
ejpam-6198	62	18	in	in	ADP
ejpam-6198	62	19	two	two	NUM
ejpam-6198	62	20	coaxial	coaxial	ADJ
ejpam-6198	62	21	cylindrical	cylindrical	ADJ
ejpam-6198	62	22	region	region	NOUN
ejpam-6198	62	23	,	,	PUNCT
ejpam-6198	62	24	after	after	ADP
ejpam-6198	62	25	employing	employ	VERB
ejpam-6198	62	26	the	the	DET
ejpam-6198	62	27	integral	integral	ADJ
ejpam-6198	62	28	transforms	transform	NOUN
ejpam-6198	62	29	,	,	PUNCT
ejpam-6198	62	30	they	they	PRON
ejpam-6198	62	31	presented	present	VERB
ejpam-6198	62	32	their	their	PRON
ejpam-6198	62	33	result	result	NOUN
ejpam-6198	62	34	of	of	ADP
ejpam-6198	62	35	shear	shear	NOUN
ejpam-6198	62	36	stress	stress	NOUN
ejpam-6198	62	37	in	in	ADP
ejpam-6198	62	38	the	the	DET
ejpam-6198	62	39	more	more	ADJ
ejpam-6198	62	40	generalization	generalization	NOUN
ejpam-6198	62	41	of	of	ADP
ejpam-6198	62	42	my	my	PRON
ejpam-6198	62	43	α	α	NOUN
ejpam-6198	62	44	,	,	PUNCT
ejpam-6198	62	45	β	β	X
ejpam-6198	62	46	,	,	PUNCT
ejpam-6198	62	47	and	and	CCONJ
ejpam-6198	62	48	ga	ga	PROPN
ejpam-6198	62	49	,	,	PUNCT
ejpam-6198	62	50	b	b	PROPN
ejpam-6198	62	51	,	,	PUNCT
ejpam-6198	62	52	c	c	X
ejpam-6198	62	53	(	(	PUNCT
ejpam-6198	62	54	.	.	PUNCT
ejpam-6198	62	55	,	,	PUNCT
ejpam-6198	62	56	.	.	PUNCT
ejpam-6198	62	57	)	)	PUNCT
ejpam-6198	62	58	functions	function	NOUN
ejpam-6198	62	59	respectively	respectively	ADV
ejpam-6198	62	60	.	.	PUNCT
ejpam-6198	63	1	more	more	ADV
ejpam-6198	63	2	recently	recently	ADV
ejpam-6198	63	3	,	,	PUNCT
ejpam-6198	63	4	javaid	javaid	VERB
ejpam-6198	63	5	et	et	PROPN
ejpam-6198	63	6	al.[32	al.[32	PROPN
ejpam-6198	63	7	]	]	PUNCT
ejpam-6198	63	8	studied	study	VERB
ejpam-6198	63	9	the	the	DET
ejpam-6198	63	10	flow	flow	NOUN
ejpam-6198	63	11	of	of	ADP
ejpam-6198	63	12	fractionalized	fractionalize	VERB
ejpam-6198	63	13	burgers	burger	NOUN
ejpam-6198	63	14	’	'	PUNCT
ejpam-6198	63	15	fluid	fluid	NOUN
ejpam-6198	63	16	,	,	PUNCT
ejpam-6198	63	17	after	after	ADP
ejpam-6198	63	18	working	work	VERB
ejpam-6198	63	19	through	through	ADP
ejpam-6198	63	20	some	some	DET
ejpam-6198	63	21	integral	integral	ADJ
ejpam-6198	63	22	transform	transform	NOUN
ejpam-6198	63	23	and	and	CCONJ
ejpam-6198	63	24	modified	modify	VERB
ejpam-6198	63	25	m.	m.	NOUN
ejpam-6198	63	26	zafarullah	zafarullah	PROPN
ejpam-6198	63	27	et	et	PROPN
ejpam-6198	63	28	al	al	PROPN
ejpam-6198	63	29	.	.	PUNCT
ejpam-6198	63	30	/	/	SYM
ejpam-6198	63	31	eur	eur	PROPN
ejpam-6198	63	32	.	.	PUNCT
ejpam-6198	64	1	j.	j.	PROPN
ejpam-6198	64	2	pure	pure	PROPN
ejpam-6198	64	3	appl	appl	PROPN
ejpam-6198	64	4	.	.	PROPN
ejpam-6198	64	5	math	math	PROPN
ejpam-6198	64	6	,	,	PUNCT
ejpam-6198	64	7	18	18	NUM
ejpam-6198	64	8	(	(	PUNCT
ejpam-6198	64	9	4	4	NUM
ejpam-6198	64	10	)	)	PUNCT
ejpam-6198	64	11	(	(	PUNCT
ejpam-6198	64	12	2025	2025	NUM
ejpam-6198	64	13	)	)	PUNCT
ejpam-6198	64	14	,	,	PUNCT
ejpam-6198	64	15	6198	6198	NUM
ejpam-6198	64	16	5	5	NUM
ejpam-6198	64	17	of	of	ADP
ejpam-6198	64	18	41	41	NUM
ejpam-6198	64	19	bessel	bessel	ADJ
ejpam-6198	64	20	equations	equation	NOUN
ejpam-6198	65	1	,	,	PUNCT
ejpam-6198	65	2	they	they	PRON
ejpam-6198	65	3	earned	earn	VERB
ejpam-6198	65	4	their	their	PRON
ejpam-6198	65	5	results	result	NOUN
ejpam-6198	65	6	of	of	ADP
ejpam-6198	65	7	velocity	velocity	NOUN
ejpam-6198	65	8	field	field	NOUN
ejpam-6198	65	9	and	and	CCONJ
ejpam-6198	65	10	shear	shear	NOUN
ejpam-6198	65	11	stress	stress	NOUN
ejpam-6198	65	12	and	and	CCONJ
ejpam-6198	65	13	for	for	ADP
ejpam-6198	65	14	validation	validation	NOUN
ejpam-6198	65	15	and	and	CCONJ
ejpam-6198	65	16	comparison	comparison	NOUN
ejpam-6198	65	17	of	of	ADP
ejpam-6198	65	18	results	result	NOUN
ejpam-6198	65	19	,	,	PUNCT
ejpam-6198	65	20	they	they	PRON
ejpam-6198	65	21	adopted	adopt	VERB
ejpam-6198	65	22	the	the	DET
ejpam-6198	65	23	gaver	gaver	NOUN
ejpam-6198	65	24	-	-	PUNCT
ejpam-6198	65	25	stehfest	stehf	ADJ
ejpam-6198	65	26	�	�	NOUN
ejpam-6198	65	27	s	s	PART
ejpam-6198	65	28	algorithm	algorithm	NOUN
ejpam-6198	65	29	and	and	CCONJ
ejpam-6198	65	30	tzou	tzou	PROPN
ejpam-6198	65	31	�	�	PROPN
ejpam-6198	65	32	s	s	PART
ejpam-6198	65	33	algorithm	algorithm	NOUN
ejpam-6198	65	34	.	.	PUNCT
ejpam-6198	66	1	the	the	DET
ejpam-6198	66	2	influence	influence	NOUN
ejpam-6198	66	3	of	of	ADP
ejpam-6198	66	4	two	two	NUM
ejpam-6198	66	5	more	more	ADJ
ejpam-6198	66	6	phenomena	phenomenon	NOUN
ejpam-6198	66	7	are	be	AUX
ejpam-6198	66	8	dominant	dominant	ADJ
ejpam-6198	66	9	in	in	ADP
ejpam-6198	66	10	the	the	DET
ejpam-6198	66	11	literature	literature	NOUN
ejpam-6198	66	12	of	of	ADP
ejpam-6198	66	13	fluid	fluid	ADJ
ejpam-6198	66	14	dynamics	dynamic	NOUN
ejpam-6198	66	15	,	,	PUNCT
ejpam-6198	66	16	those	those	PRON
ejpam-6198	66	17	are	be	AUX
ejpam-6198	66	18	magnetic	magnetic	ADJ
ejpam-6198	66	19	and	and	CCONJ
ejpam-6198	66	20	cellular	cellular	ADJ
ejpam-6198	66	21	(	(	PUNCT
ejpam-6198	66	22	porous	porous	ADJ
ejpam-6198	66	23	)	)	PUNCT
ejpam-6198	66	24	effects	effect	NOUN
ejpam-6198	66	25	.	.	PUNCT
ejpam-6198	67	1	jamil	jamil	PROPN
ejpam-6198	67	2	and	and	CCONJ
ejpam-6198	67	3	zafarullah[33	zafarullah[33	PROPN
ejpam-6198	67	4	]	]	X
ejpam-6198	67	5	wrote	write	VERB
ejpam-6198	67	6	some	some	DET
ejpam-6198	67	7	applications	application	NOUN
ejpam-6198	67	8	of	of	ADP
ejpam-6198	67	9	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-6198	67	10	(	(	PUNCT
ejpam-6198	67	11	mhd	mhd	NOUN
ejpam-6198	67	12	)	)	PUNCT
ejpam-6198	67	13	motion	motion	NOUN
ejpam-6198	67	14	of	of	ADP
ejpam-6198	67	15	second	second	ADJ
ejpam-6198	67	16	grade	grade	NOUN
ejpam-6198	67	17	non	non	ADJ
ejpam-6198	67	18	-	-	ADJ
ejpam-6198	67	19	newtonian	newtonian	ADJ
ejpam-6198	67	20	fluid	fluid	NOUN
ejpam-6198	67	21	and	and	CCONJ
ejpam-6198	67	22	employed	employ	VERB
ejpam-6198	67	23	some	some	DET
ejpam-6198	67	24	integral	integral	ADJ
ejpam-6198	67	25	transforms	transform	NOUN
ejpam-6198	67	26	,	,	PUNCT
ejpam-6198	67	27	demonstrating	demonstrate	VERB
ejpam-6198	67	28	the	the	DET
ejpam-6198	67	29	result	result	NOUN
ejpam-6198	67	30	in	in	ADP
ejpam-6198	67	31	convolution	convolution	NOUN
ejpam-6198	67	32	product	product	NOUN
ejpam-6198	67	33	form	form	NOUN
ejpam-6198	67	34	of	of	ADP
ejpam-6198	67	35	inverse	inverse	ADJ
ejpam-6198	67	36	laplace	laplace	NOUN
ejpam-6198	67	37	transformation	transformation	NOUN
ejpam-6198	67	38	and	and	CCONJ
ejpam-6198	67	39	endorsed	endorse	VERB
ejpam-6198	67	40	by	by	ADP
ejpam-6198	67	41	graphical	graphical	ADJ
ejpam-6198	67	42	behavior	behavior	NOUN
ejpam-6198	67	43	.	.	PUNCT
ejpam-6198	68	1	jamil	jamil	PROPN
ejpam-6198	68	2	et	et	PROPN
ejpam-6198	68	3	al.[24	al.[24	PROPN
ejpam-6198	68	4	]	]	PUNCT
ejpam-6198	68	5	extended	extend	VERB
ejpam-6198	68	6	their	their	PRON
ejpam-6198	68	7	earlier	early	ADJ
ejpam-6198	68	8	study	study	NOUN
ejpam-6198	68	9	by	by	ADP
ejpam-6198	68	10	taking	take	VERB
ejpam-6198	68	11	fractionalized	fractionalize	VERB
ejpam-6198	68	12	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-6198	68	13	of	of	ADP
ejpam-6198	68	14	maxwell	maxwell	PROPN
ejpam-6198	68	15	fluid	fluid	NOUN
ejpam-6198	68	16	in	in	ADP
ejpam-6198	68	17	the	the	DET
ejpam-6198	68	18	cellular	cellular	ADJ
ejpam-6198	68	19	cylinder	cylinder	NOUN
ejpam-6198	68	20	and	and	CCONJ
ejpam-6198	68	21	validating	validate	VERB
ejpam-6198	68	22	the	the	DET
ejpam-6198	68	23	result	result	NOUN
ejpam-6198	68	24	by	by	ADP
ejpam-6198	68	25	visual	visual	ADJ
ejpam-6198	68	26	presentation	presentation	NOUN
ejpam-6198	68	27	.	.	PUNCT
ejpam-6198	69	1	in	in	ADP
ejpam-6198	69	2	a	a	DET
ejpam-6198	69	3	cellular	cellular	ADJ
ejpam-6198	69	4	or	or	CCONJ
ejpam-6198	69	5	porous	porous	ADJ
ejpam-6198	69	6	environment	environment	NOUN
ejpam-6198	69	7	,	,	PUNCT
ejpam-6198	69	8	there	there	PRON
ejpam-6198	69	9	are	be	VERB
ejpam-6198	69	10	many	many	ADJ
ejpam-6198	69	11	micro	micro	ADJ
ejpam-6198	69	12	cells	cell	NOUN
ejpam-6198	69	13	/	/	PUNCT
ejpam-6198	69	14	pores	pore	NOUN
ejpam-6198	69	15	that	that	PRON
ejpam-6198	69	16	can	can	AUX
ejpam-6198	69	17	absorb	absorb	VERB
ejpam-6198	69	18	something	something	PRON
ejpam-6198	69	19	on	on	ADP
ejpam-6198	69	20	the	the	DET
ejpam-6198	69	21	surface	surface	NOUN
ejpam-6198	69	22	of	of	ADP
ejpam-6198	69	23	an	an	DET
ejpam-6198	69	24	object	object	NOUN
ejpam-6198	69	25	.	.	PUNCT
ejpam-6198	70	1	many	many	ADJ
ejpam-6198	70	2	examples	example	NOUN
ejpam-6198	70	3	of	of	ADP
ejpam-6198	70	4	porosity	porosity	NOUN
ejpam-6198	70	5	are	be	AUX
ejpam-6198	70	6	available	available	ADJ
ejpam-6198	70	7	in	in	ADP
ejpam-6198	70	8	modern	modern	ADJ
ejpam-6198	70	9	literature	literature	NOUN
ejpam-6198	70	10	.	.	PUNCT
ejpam-6198	71	1	liu	liu	PROPN
ejpam-6198	71	2	and	and	CCONJ
ejpam-6198	71	3	chen[34	chen[34	PROPN
ejpam-6198	71	4	]	]	PUNCT
ejpam-6198	71	5	characterized	characterize	VERB
ejpam-6198	71	6	porous	porous	ADJ
ejpam-6198	71	7	materials	material	NOUN
ejpam-6198	71	8	either	either	CCONJ
ejpam-6198	71	9	naturally	naturally	ADV
ejpam-6198	71	10	such	such	ADJ
ejpam-6198	71	11	as	as	ADP
ejpam-6198	71	12	sandstone	sandstone	NOUN
ejpam-6198	71	13	,	,	PUNCT
ejpam-6198	71	14	human	human	ADJ
ejpam-6198	71	15	lung	lung	NOUN
ejpam-6198	71	16	and	and	CCONJ
ejpam-6198	71	17	bones	bone	NOUN
ejpam-6198	71	18	,	,	PUNCT
ejpam-6198	71	19	eggshell	eggshell	NOUN
ejpam-6198	71	20	and	and	CCONJ
ejpam-6198	71	21	limbs	limb	NOUN
ejpam-6198	71	22	of	of	ADP
ejpam-6198	71	23	birds	bird	NOUN
ejpam-6198	71	24	,	,	PUNCT
ejpam-6198	71	25	plant	plant	NOUN
ejpam-6198	71	26	leaves	leave	NOUN
ejpam-6198	71	27	and	and	CCONJ
ejpam-6198	71	28	wood	wood	NOUN
ejpam-6198	71	29	,	,	PUNCT
ejpam-6198	71	30	and	and	CCONJ
ejpam-6198	71	31	some	some	DET
ejpam-6198	71	32	marine	marine	ADJ
ejpam-6198	71	33	invertebrates	invertebrate	NOUN
ejpam-6198	71	34	,	,	PUNCT
ejpam-6198	71	35	or	or	CCONJ
ejpam-6198	71	36	synthetically	synthetically	ADV
ejpam-6198	71	37	such	such	ADJ
ejpam-6198	71	38	as	as	ADP
ejpam-6198	71	39	porous	porous	ADJ
ejpam-6198	71	40	ceramics	ceramic	NOUN
ejpam-6198	71	41	,	,	PUNCT
ejpam-6198	71	42	polymer	polymer	NOUN
ejpam-6198	71	43	foams	foam	NOUN
ejpam-6198	71	44	,	,	PUNCT
ejpam-6198	71	45	tissue	tissue	NOUN
ejpam-6198	71	46	,	,	PUNCT
ejpam-6198	71	47	and	and	CCONJ
ejpam-6198	71	48	absorbent	absorbent	ADJ
ejpam-6198	71	49	papers	paper	NOUN
ejpam-6198	71	50	,	,	PUNCT
ejpam-6198	71	51	fabric	fabric	NOUN
ejpam-6198	71	52	,	,	PUNCT
ejpam-6198	71	53	filtration	filtration	NOUN
ejpam-6198	71	54	devices	device	NOUN
ejpam-6198	71	55	.	.	PUNCT
ejpam-6198	72	1	cai	cai	PROPN
ejpam-6198	72	2	et	et	PROPN
ejpam-6198	72	3	al.[35	al.[35	PROPN
ejpam-6198	72	4	]	]	PUNCT
ejpam-6198	72	5	reviewed	review	VERB
ejpam-6198	72	6	the	the	DET
ejpam-6198	72	7	vision	vision	NOUN
ejpam-6198	72	8	2020	2020	NUM
ejpam-6198	72	9	of	of	ADP
ejpam-6198	72	10	interpore	interpore	ADJ
ejpam-6198	72	11	.	.	PUNCT
ejpam-6198	73	1	mochalin	mochalin	PROPN
ejpam-6198	73	2	et	et	PROPN
ejpam-6198	73	3	al.[36	al.[36	PROPN
ejpam-6198	73	4	]	]	PUNCT
ejpam-6198	73	5	worked	work	VERB
ejpam-6198	73	6	numerically	numerically	ADV
ejpam-6198	73	7	on	on	ADP
ejpam-6198	73	8	fluid	fluid	ADJ
ejpam-6198	73	9	flow	flow	NOUN
ejpam-6198	73	10	through	through	ADP
ejpam-6198	73	11	filtrating	filtrate	VERB
ejpam-6198	73	12	round	round	ADJ
ejpam-6198	73	13	hollows	hollow	NOUN
ejpam-6198	73	14	passing	pass	VERB
ejpam-6198	73	15	in	in	ADP
ejpam-6198	73	16	spinning	spin	VERB
ejpam-6198	73	17	porous	porous	ADJ
ejpam-6198	73	18	(	(	PUNCT
ejpam-6198	73	19	cellular	cellular	ADJ
ejpam-6198	73	20	)	)	PUNCT
ejpam-6198	73	21	cylinders	cylinder	NOUN
ejpam-6198	73	22	by	by	ADP
ejpam-6198	73	23	applying	apply	VERB
ejpam-6198	73	24	computational	computational	ADJ
ejpam-6198	73	25	fluid	fluid	ADJ
ejpam-6198	73	26	dynamics	dynamic	NOUN
ejpam-6198	73	27	techniques	technique	NOUN
ejpam-6198	73	28	.	.	PUNCT
ejpam-6198	74	1	in	in	ADP
ejpam-6198	74	2	this	this	DET
ejpam-6198	74	3	article	article	NOUN
ejpam-6198	74	4	,	,	PUNCT
ejpam-6198	74	5	we	we	PRON
ejpam-6198	74	6	estimate	estimate	VERB
ejpam-6198	74	7	the	the	DET
ejpam-6198	74	8	spiral	spiral	ADJ
ejpam-6198	74	9	and	and	CCONJ
ejpam-6198	74	10	linear	linear	ADJ
ejpam-6198	74	11	flow	flow	NOUN
ejpam-6198	74	12	rate	rate	NOUN
ejpam-6198	74	13	of	of	ADP
ejpam-6198	74	14	a	a	DET
ejpam-6198	74	15	second	second	ADJ
ejpam-6198	74	16	grade	grade	NOUN
ejpam-6198	74	17	unsteady	unsteady	ADJ
ejpam-6198	74	18	fractionalized	fractionalize	VERB
ejpam-6198	74	19	fluid	fluid	NOUN
ejpam-6198	74	20	with	with	ADP
ejpam-6198	74	21	mhd	mhd	NOUN
ejpam-6198	74	22	phenomenon	phenomenon	NOUN
ejpam-6198	74	23	between	between	ADP
ejpam-6198	74	24	two	two	NUM
ejpam-6198	74	25	uniaxial	uniaxial	ADJ
ejpam-6198	74	26	cellular	cellular	ADJ
ejpam-6198	74	27	cylinders	cylinder	NOUN
ejpam-6198	74	28	.	.	PUNCT
ejpam-6198	75	1	the	the	DET
ejpam-6198	75	2	analytical	analytical	ADJ
ejpam-6198	75	3	results	result	NOUN
ejpam-6198	75	4	are	be	AUX
ejpam-6198	75	5	evaluated	evaluate	VERB
ejpam-6198	75	6	for	for	ADP
ejpam-6198	75	7	the	the	DET
ejpam-6198	75	8	rotational	rotational	ADJ
ejpam-6198	75	9	and	and	CCONJ
ejpam-6198	75	10	longitudinal	longitudinal	ADJ
ejpam-6198	75	11	velocities	velocity	NOUN
ejpam-6198	75	12	and	and	CCONJ
ejpam-6198	75	13	the	the	DET
ejpam-6198	75	14	shear	shear	NOUN
ejpam-6198	75	15	stress	stress	NOUN
ejpam-6198	75	16	because	because	SCONJ
ejpam-6198	75	17	of	of	ADP
ejpam-6198	75	18	fluid	fluid	ADJ
ejpam-6198	75	19	rotation	rotation	NOUN
ejpam-6198	75	20	and	and	CCONJ
ejpam-6198	75	21	transformation	transformation	NOUN
ejpam-6198	75	22	between	between	ADP
ejpam-6198	75	23	two	two	NUM
ejpam-6198	75	24	infinite	infinite	ADJ
ejpam-6198	75	25	coaxial	coaxial	ADJ
ejpam-6198	75	26	round	round	ADJ
ejpam-6198	75	27	porous	porous	ADJ
ejpam-6198	75	28	/	/	SYM
ejpam-6198	75	29	cellular	cellular	ADJ
ejpam-6198	75	30	cylinders	cylinder	NOUN
ejpam-6198	75	31	,	,	PUNCT
ejpam-6198	75	32	turning	turn	VERB
ejpam-6198	75	33	their	their	PRON
ejpam-6198	75	34	axes	axis	NOUN
ejpam-6198	75	35	.	.	PUNCT
ejpam-6198	76	1	the	the	DET
ejpam-6198	76	2	outcomes	outcome	NOUN
ejpam-6198	76	3	are	be	AUX
ejpam-6198	76	4	determined	determine	VERB
ejpam-6198	76	5	employing	employ	VERB
ejpam-6198	76	6	the	the	DET
ejpam-6198	76	7	suitable	suitable	ADJ
ejpam-6198	76	8	integral	integral	ADJ
ejpam-6198	76	9	transformations	transformation	NOUN
ejpam-6198	76	10	,	,	PUNCT
ejpam-6198	76	11	that	that	PRON
ejpam-6198	76	12	are	be	AUX
ejpam-6198	76	13	effective	effective	ADJ
ejpam-6198	76	14	in	in	ADP
ejpam-6198	76	15	circular	circular	ADJ
ejpam-6198	76	16	cylinders	cylinder	NOUN
ejpam-6198	76	17	,	,	PUNCT
ejpam-6198	76	18	such	such	ADJ
ejpam-6198	76	19	as	as	ADP
ejpam-6198	76	20	laplace	laplace	NOUN
ejpam-6198	76	21	transformation	transformation	NOUN
ejpam-6198	76	22	and	and	CCONJ
ejpam-6198	76	23	finite	finite	VERB
ejpam-6198	76	24	hankel	hankel	NOUN
ejpam-6198	76	25	transformation	transformation	NOUN
ejpam-6198	76	26	,	,	PUNCT
ejpam-6198	76	27	by	by	ADP
ejpam-6198	76	28	one	one	NUM
ejpam-6198	76	29	of	of	ADP
ejpam-6198	76	30	the	the	DET
ejpam-6198	76	31	most	most	ADV
ejpam-6198	76	32	recent	recent	ADJ
ejpam-6198	76	33	and	and	CCONJ
ejpam-6198	76	34	practicable	practicable	ADJ
ejpam-6198	76	35	fractional	fractional	ADJ
ejpam-6198	76	36	or	or	CCONJ
ejpam-6198	76	37	non	non	ADJ
ejpam-6198	76	38	-	-	ADJ
ejpam-6198	76	39	integer	integer	ADJ
ejpam-6198	76	40	atangana	atangana	PROPN
ejpam-6198	76	41	baleanu	baleanu	PROPN
ejpam-6198	76	42	caputo	caputo	PROPN
ejpam-6198	76	43	(	(	PUNCT
ejpam-6198	76	44	abc	abc	PROPN
ejpam-6198	76	45	)	)	PUNCT
ejpam-6198	76	46	time	time	NOUN
ejpam-6198	76	47	fractional	fractional	ADJ
ejpam-6198	76	48	derivatives	derivative	NOUN
ejpam-6198	76	49	.	.	PUNCT
ejpam-6198	77	1	abc	abc	PROPN
ejpam-6198	77	2	differential	differential	NOUN
ejpam-6198	77	3	operator	operator	NOUN
ejpam-6198	77	4	is	be	AUX
ejpam-6198	77	5	popularized	popularize	VERB
ejpam-6198	77	6	and	and	CCONJ
ejpam-6198	77	7	attracted	attract	VERB
ejpam-6198	77	8	in	in	ADP
ejpam-6198	77	9	the	the	DET
ejpam-6198	77	10	last	last	ADJ
ejpam-6198	77	11	few	few	ADJ
ejpam-6198	77	12	years	year	NOUN
ejpam-6198	77	13	by	by	ADP
ejpam-6198	77	14	renowned	renowned	ADJ
ejpam-6198	77	15	researchers	researcher	NOUN
ejpam-6198	77	16	.	.	PUNCT
ejpam-6198	78	1	the	the	DET
ejpam-6198	78	2	acquired	acquire	VERB
ejpam-6198	78	3	outcomes	outcome	NOUN
ejpam-6198	78	4	are	be	AUX
ejpam-6198	78	5	exhibited	exhibit	VERB
ejpam-6198	78	6	in	in	ADP
ejpam-6198	78	7	integral	integral	ADJ
ejpam-6198	78	8	and	and	CCONJ
ejpam-6198	78	9	series	series	NOUN
ejpam-6198	78	10	forms	form	NOUN
ejpam-6198	78	11	with	with	ADP
ejpam-6198	78	12	the	the	DET
ejpam-6198	78	13	convolution	convolution	NOUN
ejpam-6198	78	14	product	product	NOUN
ejpam-6198	78	15	of	of	ADP
ejpam-6198	78	16	laplace	laplace	NOUN
ejpam-6198	78	17	inverse	inverse	NOUN
ejpam-6198	78	18	transformation	transformation	NOUN
ejpam-6198	78	19	and	and	CCONJ
ejpam-6198	78	20	newly	newly	ADV
ejpam-6198	78	21	prescribed	prescribe	VERB
ejpam-6198	78	22	special	special	ADJ
ejpam-6198	78	23	generalized	generalize	VERB
ejpam-6198	78	24	ma	ma	PROPN
ejpam-6198	78	25	,	,	PUNCT
ejpam-6198	78	26	b	b	PROPN
ejpam-6198	78	27	c	c	X
ejpam-6198	78	28	(	(	PUNCT
ejpam-6198	78	29	κ	κ	PROPN
ejpam-6198	78	30	,	,	PUNCT
ejpam-6198	78	31	t	t	NOUN
ejpam-6198	78	32	)	)	PUNCT
ejpam-6198	78	33	function	function	NOUN
ejpam-6198	78	34	which	which	PRON
ejpam-6198	78	35	is	be	AUX
ejpam-6198	78	36	more	more	ADV
ejpam-6198	78	37	simplified	simplified	ADJ
ejpam-6198	78	38	pattern	pattern	NOUN
ejpam-6198	78	39	of	of	ADP
ejpam-6198	78	40	the	the	DET
ejpam-6198	78	41	wright	wright	PROPN
ejpam-6198	78	42	function	function	PROPN
ejpam-6198	78	43	.	.	PUNCT
ejpam-6198	79	1	the	the	DET
ejpam-6198	79	2	result	result	NOUN
ejpam-6198	79	3	meets	meet	VERB
ejpam-6198	79	4	basic	basic	ADJ
ejpam-6198	79	5	equality	equality	NOUN
ejpam-6198	79	6	and	and	CCONJ
ejpam-6198	79	7	all	all	DET
ejpam-6198	79	8	accounting	accounting	NOUN
ejpam-6198	79	9	requirements	requirement	NOUN
ejpam-6198	79	10	such	such	ADJ
ejpam-6198	79	11	as	as	ADP
ejpam-6198	79	12	initial	initial	ADJ
ejpam-6198	79	13	and	and	CCONJ
ejpam-6198	79	14	generalized	generalized	ADJ
ejpam-6198	79	15	boundary	boundary	ADJ
ejpam-6198	79	16	conditions	condition	NOUN
ejpam-6198	79	17	.	.	PUNCT
ejpam-6198	80	1	only	only	ADV
ejpam-6198	80	2	a	a	DET
ejpam-6198	80	3	few	few	ADJ
ejpam-6198	80	4	researchers	researcher	NOUN
ejpam-6198	80	5	hardly	hardly	ADV
ejpam-6198	80	6	ever	ever	ADV
ejpam-6198	80	7	used	use	VERB
ejpam-6198	80	8	such	such	ADJ
ejpam-6198	80	9	generalized	generalized	ADJ
ejpam-6198	80	10	boundary	boundary	ADJ
ejpam-6198	80	11	conditions	condition	NOUN
ejpam-6198	80	12	that	that	PRON
ejpam-6198	80	13	is	be	AUX
ejpam-6198	80	14	why	why	SCONJ
ejpam-6198	80	15	they	they	PRON
ejpam-6198	80	16	rarely	rarely	ADV
ejpam-6198	80	17	appeared	appear	VERB
ejpam-6198	80	18	in	in	ADP
ejpam-6198	80	19	research	research	NOUN
ejpam-6198	80	20	.	.	PUNCT
ejpam-6198	81	1	furthermore	furthermore	ADV
ejpam-6198	81	2	,	,	PUNCT
ejpam-6198	81	3	additionally	additionally	ADV
ejpam-6198	81	4	,	,	PUNCT
ejpam-6198	81	5	the	the	DET
ejpam-6198	81	6	respective	respective	ADJ
ejpam-6198	81	7	outcome	outcome	NOUN
ejpam-6198	81	8	for	for	ADP
ejpam-6198	81	9	newtonian	newtonian	ADJ
ejpam-6198	81	10	fluid	fluid	NOUN
ejpam-6198	81	11	for	for	ADP
ejpam-6198	81	12	the	the	DET
ejpam-6198	81	13	same	same	ADJ
ejpam-6198	81	14	movement	movement	NOUN
ejpam-6198	81	15	is	be	AUX
ejpam-6198	81	16	acquired	acquire	VERB
ejpam-6198	81	17	in	in	ADP
ejpam-6198	81	18	limited	limited	ADJ
ejpam-6198	81	19	cases	case	NOUN
ejpam-6198	81	20	.	.	PUNCT
ejpam-6198	82	1	the	the	DET
ejpam-6198	82	2	impact	impact	NOUN
ejpam-6198	82	3	of	of	ADP
ejpam-6198	82	4	alpha	alpha	NOUN
ejpam-6198	82	5	and	and	CCONJ
ejpam-6198	82	6	kinematic	kinematic	ADJ
ejpam-6198	82	7	viscosity	viscosity	NOUN
ejpam-6198	82	8	of	of	ADP
ejpam-6198	82	9	the	the	DET
ejpam-6198	82	10	material	material	NOUN
ejpam-6198	82	11	parameter	parameter	NOUN
ejpam-6198	82	12	is	be	AUX
ejpam-6198	82	13	also	also	ADV
ejpam-6198	82	14	discussed	discuss	VERB
ejpam-6198	82	15	.	.	PUNCT
ejpam-6198	83	1	last	last	ADJ
ejpam-6198	83	2	,	,	PUNCT
ejpam-6198	83	3	we	we	PRON
ejpam-6198	83	4	examined	examine	VERB
ejpam-6198	83	5	the	the	DET
ejpam-6198	83	6	behavior	behavior	NOUN
ejpam-6198	83	7	of	of	ADP
ejpam-6198	83	8	distinct	distinct	ADJ
ejpam-6198	83	9	parameters	parameter	NOUN
ejpam-6198	83	10	on	on	ADP
ejpam-6198	83	11	fluid	fluid	ADJ
ejpam-6198	83	12	movement	movement	NOUN
ejpam-6198	83	13	along	along	ADP
ejpam-6198	83	14	with	with	ADP
ejpam-6198	83	15	graphically	graphically	ADV
ejpam-6198	83	16	analogizing	analogize	VERB
ejpam-6198	83	17	second	second	ADJ
ejpam-6198	83	18	grade	grade	NOUN
ejpam-6198	83	19	and	and	CCONJ
ejpam-6198	83	20	newtonian	newtonian	ADJ
ejpam-6198	83	21	fluids	fluid	NOUN
ejpam-6198	83	22	.	.	PUNCT
ejpam-6198	84	1	m.	m.	NOUN
ejpam-6198	84	2	zafarullah	zafarullah	PROPN
ejpam-6198	84	3	et	et	PROPN
ejpam-6198	84	4	al	al	PROPN
ejpam-6198	84	5	.	.	PUNCT
ejpam-6198	84	6	/	/	SYM
ejpam-6198	84	7	eur	eur	PROPN
ejpam-6198	84	8	.	.	PUNCT
ejpam-6198	85	1	j.	j.	PROPN
ejpam-6198	85	2	pure	pure	PROPN
ejpam-6198	85	3	appl	appl	PROPN
ejpam-6198	85	4	.	.	PROPN
ejpam-6198	85	5	math	math	PROPN
ejpam-6198	85	6	,	,	PUNCT
ejpam-6198	85	7	18	18	NUM
ejpam-6198	85	8	(	(	PUNCT
ejpam-6198	85	9	4	4	NUM
ejpam-6198	85	10	)	)	PUNCT
ejpam-6198	85	11	(	(	PUNCT
ejpam-6198	85	12	2025	2025	NUM
ejpam-6198	85	13	)	)	PUNCT
ejpam-6198	85	14	,	,	PUNCT
ejpam-6198	85	15	6198	6198	NUM
ejpam-6198	85	16	6	6	NUM
ejpam-6198	85	17	of	of	ADP
ejpam-6198	85	18	41	41	NUM
ejpam-6198	85	19	2	2	NUM
ejpam-6198	85	20	.	.	PUNCT
ejpam-6198	85	21	advancement	advancement	NOUN
ejpam-6198	85	22	in	in	ADP
ejpam-6198	85	23	mathematical	mathematical	ADJ
ejpam-6198	85	24	modeling	modeling	NOUN
ejpam-6198	85	25	and	and	CCONJ
ejpam-6198	85	26	its	its	PRON
ejpam-6198	85	27	governing	govern	VERB
ejpam-6198	85	28	equations	equation	NOUN
ejpam-6198	85	29	the	the	DET
ejpam-6198	85	30	governing	govern	VERB
ejpam-6198	85	31	equations	equation	NOUN
ejpam-6198	85	32	of	of	ADP
ejpam-6198	85	33	second	second	ADJ
ejpam-6198	85	34	grade	grade	NOUN
ejpam-6198	85	35	fluid	fluid	NOUN
ejpam-6198	85	36	flows	flow	NOUN
ejpam-6198	85	37	between	between	ADP
ejpam-6198	85	38	two	two	NUM
ejpam-6198	85	39	cylinders	cylinder	NOUN
ejpam-6198	85	40	together	together	ADV
ejpam-6198	85	41	with	with	ADP
ejpam-6198	85	42	heat	heat	NOUN
ejpam-6198	85	43	and	and	CCONJ
ejpam-6198	85	44	mass	mass	NOUN
ejpam-6198	85	45	transfer	transfer	NOUN
ejpam-6198	85	46	effect	effect	NOUN
ejpam-6198	85	47	are	be	AUX
ejpam-6198	85	48	:	:	PUNCT
ejpam-6198	85	49	∂	∂	NUM
ejpam-6198	85	50	∂t	∂t	PROPN
ejpam-6198	85	51	w(ρ	w(ρ	PROPN
ejpam-6198	85	52	,	,	PUNCT
ejpam-6198	85	53	t	t	PROPN
ejpam-6198	85	54	)	)	PUNCT
ejpam-6198	85	55	=	=	PUNCT
ejpam-6198	86	1	(	(	PUNCT
ejpam-6198	86	2	ν	ν	X
ejpam-6198	86	3	+	+	CCONJ
ejpam-6198	86	4	α	α	PROPN
ejpam-6198	86	5	∂	∂	NOUN
ejpam-6198	86	6	∂t	∂t	PROPN
ejpam-6198	86	7	)	)	PUNCT
ejpam-6198	86	8	(	(	PUNCT
ejpam-6198	86	9	∂2	∂2	NUM
ejpam-6198	86	10	∂ρ2	∂ρ2	NOUN
ejpam-6198	86	11	+	+	CCONJ
ejpam-6198	87	1	1	1	NUM
ejpam-6198	87	2	ρ	ρ	NUM
ejpam-6198	87	3	∂	∂	NOUN
ejpam-6198	87	4	∂ρ	∂ρ	PROPN
ejpam-6198	87	5	−	−	PROPN
ejpam-6198	87	6	1	1	NUM
ejpam-6198	87	7	ρ2	ρ2	NOUN
ejpam-6198	87	8	)	)	PUNCT
ejpam-6198	87	9	w(ρ	w(ρ	PROPN
ejpam-6198	87	10	,	,	PUNCT
ejpam-6198	87	11	t)−gmw(ρ	t)−gmw(ρ	NOUN
ejpam-6198	87	12	,	,	PUNCT
ejpam-6198	87	13	t)−gp	t)−gp	PUNCT
ejpam-6198	87	14	(	(	PUNCT
ejpam-6198	87	15	ν	ν	X
ejpam-6198	87	16	+	+	PROPN
ejpam-6198	87	17	α	α	PROPN
ejpam-6198	87	18	∂	∂	NOUN
ejpam-6198	87	19	∂t	∂t	PROPN
ejpam-6198	87	20	)	)	PUNCT
ejpam-6198	87	21	w(ρ	w(ρ	PROPN
ejpam-6198	87	22	,	,	PUNCT
ejpam-6198	87	23	t	t	PROPN
ejpam-6198	87	24	)	)	PUNCT
ejpam-6198	87	25	;	;	PUNCT
ejpam-6198	87	26	ρ	ρ	PROPN
ejpam-6198	87	27	∈	∈	PROPN
ejpam-6198	87	28	(	(	PUNCT
ejpam-6198	87	29	π1,π2	π1,π2	PROPN
ejpam-6198	87	30	)	)	PUNCT
ejpam-6198	87	31	,	,	PUNCT
ejpam-6198	87	32	t	t	PROPN
ejpam-6198	87	33	>	>	X
ejpam-6198	87	34	0	0	NUM
ejpam-6198	87	35	,	,	PUNCT
ejpam-6198	87	36	(	(	PUNCT
ejpam-6198	87	37	1	1	NUM
ejpam-6198	87	38	)	)	PUNCT
ejpam-6198	87	39	∂	∂	NOUN
ejpam-6198	87	40	∂t	∂t	PROPN
ejpam-6198	87	41	v(ρ	v(ρ	PROPN
ejpam-6198	87	42	,	,	PUNCT
ejpam-6198	87	43	t	t	PROPN
ejpam-6198	87	44	)	)	PUNCT
ejpam-6198	87	45	=	=	PUNCT
ejpam-6198	88	1	(	(	PUNCT
ejpam-6198	88	2	ν	ν	X
ejpam-6198	88	3	+	+	CCONJ
ejpam-6198	88	4	α	α	PROPN
ejpam-6198	88	5	∂	∂	NOUN
ejpam-6198	88	6	∂t	∂t	PROPN
ejpam-6198	88	7	)	)	PUNCT
ejpam-6198	88	8	(	(	PUNCT
ejpam-6198	88	9	∂2	∂2	NUM
ejpam-6198	88	10	∂ρ2	∂ρ2	NOUN
ejpam-6198	88	11	+	+	CCONJ
ejpam-6198	89	1	1	1	NUM
ejpam-6198	89	2	ρ	ρ	NUM
ejpam-6198	89	3	∂	∂	NUM
ejpam-6198	89	4	∂ρ	∂ρ	PROPN
ejpam-6198	89	5	)	)	PUNCT
ejpam-6198	89	6	v(ρ	v(ρ	PROPN
ejpam-6198	89	7	,	,	PUNCT
ejpam-6198	89	8	t)−gmv(ρ	t)−gmv(ρ	NOUN
ejpam-6198	89	9	,	,	PUNCT
ejpam-6198	89	10	t)−gp	t)−gp	PUNCT
ejpam-6198	89	11	(	(	PUNCT
ejpam-6198	89	12	ν	ν	X
ejpam-6198	89	13	+	+	PROPN
ejpam-6198	89	14	α	α	PROPN
ejpam-6198	89	15	∂	∂	NOUN
ejpam-6198	89	16	∂t	∂t	PROPN
ejpam-6198	89	17	)	)	PUNCT
ejpam-6198	89	18	v(ρ	v(ρ	PROPN
ejpam-6198	89	19	,	,	PUNCT
ejpam-6198	89	20	t	t	PROPN
ejpam-6198	89	21	)	)	PUNCT
ejpam-6198	89	22	;	;	PUNCT
ejpam-6198	89	23	ρ	ρ	PROPN
ejpam-6198	89	24	∈	∈	PROPN
ejpam-6198	89	25	(	(	PUNCT
ejpam-6198	89	26	π1,π2	π1,π2	PROPN
ejpam-6198	89	27	)	)	PUNCT
ejpam-6198	89	28	,	,	PUNCT
ejpam-6198	90	1	t	t	PROPN
ejpam-6198	90	2	>	>	X
ejpam-6198	90	3	0	0	NUM
ejpam-6198	90	4	,	,	PUNCT
ejpam-6198	90	5	(	(	PUNCT
ejpam-6198	90	6	2	2	X
ejpam-6198	90	7	)	)	PUNCT
ejpam-6198	90	8	sρθ	sρθ	NOUN
ejpam-6198	90	9	=	=	SYM
ejpam-6198	90	10	(	(	PUNCT
ejpam-6198	90	11	µ+	µ+	X
ejpam-6198	90	12	α1	α1	PROPN
ejpam-6198	90	13	∂	∂	X
ejpam-6198	90	14	∂t	∂t	PROPN
ejpam-6198	90	15	)	)	PUNCT
ejpam-6198	90	16	(	(	PUNCT
ejpam-6198	90	17	∂	∂	NUM
ejpam-6198	90	18	∂ρ	∂ρ	NOUN
ejpam-6198	90	19	−	−	PROPN
ejpam-6198	90	20	1	1	NUM
ejpam-6198	90	21	ρ	ρ	PROPN
ejpam-6198	90	22	)	)	PUNCT
ejpam-6198	90	23	w(ρ	w(ρ	PROPN
ejpam-6198	90	24	,	,	PUNCT
ejpam-6198	90	25	t	t	PROPN
ejpam-6198	90	26	)	)	PUNCT
ejpam-6198	90	27	,	,	PUNCT
ejpam-6198	90	28	(	(	PUNCT
ejpam-6198	90	29	3	3	X
ejpam-6198	90	30	)	)	PUNCT
ejpam-6198	90	31	sρz	sρz	NOUN
ejpam-6198	90	32	=	=	SYM
ejpam-6198	90	33	(	(	PUNCT
ejpam-6198	90	34	µ+	µ+	X
ejpam-6198	90	35	α1	α1	PROPN
ejpam-6198	90	36	∂	∂	X
ejpam-6198	90	37	∂t	∂t	PROPN
ejpam-6198	90	38	)	)	PUNCT
ejpam-6198	90	39	∂	∂	PROPN
ejpam-6198	90	40	∂ρ	∂ρ	PROPN
ejpam-6198	90	41	v(ρ	v(ρ	PROPN
ejpam-6198	90	42	,	,	PUNCT
ejpam-6198	90	43	t	t	PROPN
ejpam-6198	90	44	)	)	PUNCT
ejpam-6198	90	45	,	,	PUNCT
ejpam-6198	90	46	(	(	PUNCT
ejpam-6198	90	47	4	4	X
ejpam-6198	90	48	)	)	PUNCT
ejpam-6198	90	49	here	here	ADV
ejpam-6198	90	50	for	for	ADP
ejpam-6198	90	51	the	the	DET
ejpam-6198	90	52	fluid	fluid	ADJ
ejpam-6198	90	53	,	,	PUNCT
ejpam-6198	90	54	constant	constant	ADJ
ejpam-6198	90	55	density	density	NOUN
ejpam-6198	90	56	is	be	AUX
ejpam-6198	90	57	ϱ	ϱ	NOUN
ejpam-6198	90	58	,	,	PUNCT
ejpam-6198	90	59	kinematic	kinematic	ADJ
ejpam-6198	90	60	viscosity	viscosity	NOUN
ejpam-6198	90	61	is	be	AUX
ejpam-6198	90	62	ν	ν	NOUN
ejpam-6198	90	63	=	=	PUNCT
ejpam-6198	90	64	µ/ϱ	µ/ϱ	PROPN
ejpam-6198	90	65	and	and	CCONJ
ejpam-6198	90	66	α	α	NOUN
ejpam-6198	90	67	=	=	NOUN
ejpam-6198	90	68	α1/ϱ.	α1/ϱ.	PROPN
ejpam-6198	90	69	also	also	ADV
ejpam-6198	90	70	shear	shear	VERB
ejpam-6198	90	71	stress	stress	NOUN
ejpam-6198	90	72	are	be	AUX
ejpam-6198	90	73	τ(w	τ(w	X
ejpam-6198	90	74	)	)	PUNCT
ejpam-6198	91	1	=	=	SYM
ejpam-6198	91	2	sρθ	sρθ	ADJ
ejpam-6198	91	3	and	and	CCONJ
ejpam-6198	91	4	τ(v	τ(v	NOUN
ejpam-6198	91	5	)	)	PUNCT
ejpam-6198	92	1	=	=	SYM
ejpam-6198	92	2	sρz	sρz	PROPN
ejpam-6198	92	3	.	.	PUNCT
ejpam-6198	93	1	now	now	ADV
ejpam-6198	93	2	introducing	introduce	VERB
ejpam-6198	93	3	the	the	DET
ejpam-6198	93	4	abc	abc	PROPN
ejpam-6198	93	5	fractionalized	fractionalize	VERB
ejpam-6198	93	6	derivatives	derivative	NOUN
ejpam-6198	93	7	on	on	ADP
ejpam-6198	93	8	the	the	DET
ejpam-6198	93	9	governing	govern	VERB
ejpam-6198	93	10	equations	equation	NOUN
ejpam-6198	93	11	of	of	ADP
ejpam-6198	93	12	an	an	DET
ejpam-6198	93	13	incompressible	incompressible	ADJ
ejpam-6198	93	14	second	second	ADJ
ejpam-6198	93	15	grade	grade	NOUN
ejpam-6198	93	16	fluid	fluid	NOUN
ejpam-6198	93	17	,	,	PUNCT
ejpam-6198	93	18	∂w(ρ	∂w(ρ	PROPN
ejpam-6198	93	19	,	,	PUNCT
ejpam-6198	93	20	t	t	PROPN
ejpam-6198	93	21	)	)	PUNCT
ejpam-6198	93	22	∂t	∂t	PROPN
ejpam-6198	94	1	=	=	PUNCT
ejpam-6198	94	2	(	(	PUNCT
ejpam-6198	94	3	ν	ν	X
ejpam-6198	94	4	+	+	CCONJ
ejpam-6198	94	5	αβdβ	αβdβ	PROPN
ejpam-6198	94	6	t	t	PROPN
ejpam-6198	94	7	)	)	PUNCT
ejpam-6198	94	8	(	(	PUNCT
ejpam-6198	94	9	∂2	∂2	NUM
ejpam-6198	94	10	∂ρ2	∂ρ2	NOUN
ejpam-6198	94	11	+	+	CCONJ
ejpam-6198	95	1	1	1	NUM
ejpam-6198	95	2	ρ	ρ	NUM
ejpam-6198	95	3	∂	∂	NOUN
ejpam-6198	95	4	∂ρ	∂ρ	PROPN
ejpam-6198	95	5	−	−	PROPN
ejpam-6198	95	6	1	1	NUM
ejpam-6198	95	7	ρ2	ρ2	NOUN
ejpam-6198	95	8	)	)	PUNCT
ejpam-6198	95	9	w(ρ	w(ρ	PROPN
ejpam-6198	95	10	,	,	PUNCT
ejpam-6198	95	11	t)−gmw(ρ	t)−gmw(ρ	NOUN
ejpam-6198	95	12	,	,	PUNCT
ejpam-6198	95	13	t)−gp	t)−gp	PUNCT
ejpam-6198	95	14	(	(	PUNCT
ejpam-6198	95	15	ν	ν	X
ejpam-6198	95	16	+	+	CCONJ
ejpam-6198	95	17	αβdβ	αβdβ	PROPN
ejpam-6198	95	18	t	t	PROPN
ejpam-6198	95	19	)	)	PUNCT
ejpam-6198	95	20	w(ρ	w(ρ	PROPN
ejpam-6198	95	21	,	,	PUNCT
ejpam-6198	95	22	t	t	PROPN
ejpam-6198	95	23	)	)	PUNCT
ejpam-6198	95	24	;	;	PUNCT
ejpam-6198	95	25	(	(	PUNCT
ejpam-6198	95	26	5	5	X
ejpam-6198	95	27	)	)	PUNCT
ejpam-6198	95	28	ρ	ρ	PROPN
ejpam-6198	95	29	∈	∈	PROPN
ejpam-6198	95	30	(	(	PUNCT
ejpam-6198	95	31	π1,π2	π1,π2	PROPN
ejpam-6198	95	32	)	)	PUNCT
ejpam-6198	95	33	,	,	PUNCT
ejpam-6198	95	34	t	t	PROPN
ejpam-6198	95	35	>	>	X
ejpam-6198	95	36	0	0	PROPN
ejpam-6198	95	37	,	,	PUNCT
ejpam-6198	95	38	m.	m.	NOUN
ejpam-6198	95	39	zafarullah	zafarullah	PROPN
ejpam-6198	95	40	et	et	PROPN
ejpam-6198	95	41	al	al	PROPN
ejpam-6198	95	42	.	.	PUNCT
ejpam-6198	95	43	/	/	SYM
ejpam-6198	95	44	eur	eur	PROPN
ejpam-6198	95	45	.	.	PUNCT
ejpam-6198	96	1	j.	j.	PROPN
ejpam-6198	96	2	pure	pure	PROPN
ejpam-6198	96	3	appl	appl	PROPN
ejpam-6198	96	4	.	.	PROPN
ejpam-6198	96	5	math	math	PROPN
ejpam-6198	96	6	,	,	PUNCT
ejpam-6198	96	7	18	18	NUM
ejpam-6198	96	8	(	(	PUNCT
ejpam-6198	96	9	4	4	NUM
ejpam-6198	96	10	)	)	PUNCT
ejpam-6198	96	11	(	(	PUNCT
ejpam-6198	96	12	2025	2025	NUM
ejpam-6198	96	13	)	)	PUNCT
ejpam-6198	96	14	,	,	PUNCT
ejpam-6198	96	15	6198	6198	NUM
ejpam-6198	96	16	7	7	NUM
ejpam-6198	96	17	of	of	ADP
ejpam-6198	96	18	41	41	NUM
ejpam-6198	96	19	∂v(ρ	∂v(ρ	NOUN
ejpam-6198	96	20	,	,	PUNCT
ejpam-6198	96	21	t	t	PROPN
ejpam-6198	96	22	)	)	PUNCT
ejpam-6198	96	23	∂t	∂t	PROPN
ejpam-6198	96	24	=	=	PUNCT
ejpam-6198	96	25	(	(	PUNCT
ejpam-6198	96	26	ν	ν	X
ejpam-6198	96	27	+	+	CCONJ
ejpam-6198	96	28	αβdβ	αβdβ	PROPN
ejpam-6198	96	29	t	t	PROPN
ejpam-6198	96	30	)	)	PUNCT
ejpam-6198	96	31	(	(	PUNCT
ejpam-6198	96	32	∂2	∂2	NUM
ejpam-6198	96	33	∂ρ2	∂ρ2	NOUN
ejpam-6198	96	34	+	+	CCONJ
ejpam-6198	97	1	1	1	NUM
ejpam-6198	97	2	ρ	ρ	NUM
ejpam-6198	97	3	∂	∂	NUM
ejpam-6198	97	4	∂ρ	∂ρ	PROPN
ejpam-6198	97	5	)	)	PUNCT
ejpam-6198	97	6	v(ρ	v(ρ	PROPN
ejpam-6198	97	7	,	,	PUNCT
ejpam-6198	97	8	t)−gmv(ρ	t)−gmv(ρ	NOUN
ejpam-6198	97	9	,	,	PUNCT
ejpam-6198	97	10	t)−gp	t)−gp	PUNCT
ejpam-6198	97	11	(	(	PUNCT
ejpam-6198	97	12	ν	ν	X
ejpam-6198	97	13	+	+	CCONJ
ejpam-6198	97	14	αβdβ	αβdβ	PROPN
ejpam-6198	97	15	t	t	PROPN
ejpam-6198	97	16	)	)	PUNCT
ejpam-6198	97	17	v(ρ	v(ρ	PROPN
ejpam-6198	97	18	,	,	PUNCT
ejpam-6198	97	19	t	t	PROPN
ejpam-6198	97	20	)	)	PUNCT
ejpam-6198	97	21	;	;	PUNCT
ejpam-6198	97	22	(	(	PUNCT
ejpam-6198	97	23	6	6	X
ejpam-6198	97	24	)	)	PUNCT
ejpam-6198	97	25	ρ	ρ	PROPN
ejpam-6198	97	26	∈	∈	PROPN
ejpam-6198	97	27	(	(	PUNCT
ejpam-6198	97	28	π1,π2	π1,π2	PROPN
ejpam-6198	97	29	)	)	PUNCT
ejpam-6198	97	30	,	,	PUNCT
ejpam-6198	97	31	t	t	PROPN
ejpam-6198	97	32	>	>	X
ejpam-6198	97	33	0	0	PROPN
ejpam-6198	97	34	,	,	PUNCT
ejpam-6198	97	35	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	97	36	,	,	PUNCT
ejpam-6198	97	37	t	t	PROPN
ejpam-6198	97	38	)	)	PUNCT
ejpam-6198	97	39	=	=	PUNCT
ejpam-6198	98	1	(	(	PUNCT
ejpam-6198	98	2	µ+	µ+	X
ejpam-6198	98	3	αβdβ	αβdβ	PROPN
ejpam-6198	98	4	t	t	PROPN
ejpam-6198	98	5	)	)	PUNCT
ejpam-6198	98	6	(	(	PUNCT
ejpam-6198	98	7	∂	∂	NUM
ejpam-6198	98	8	∂ρ	∂ρ	NOUN
ejpam-6198	98	9	−	−	PROPN
ejpam-6198	98	10	1	1	NUM
ejpam-6198	98	11	ρ	ρ	PROPN
ejpam-6198	98	12	)	)	PUNCT
ejpam-6198	98	13	w(ρ	w(ρ	PROPN
ejpam-6198	98	14	,	,	PUNCT
ejpam-6198	98	15	t	t	PROPN
ejpam-6198	98	16	)	)	PUNCT
ejpam-6198	98	17	,	,	PUNCT
ejpam-6198	98	18	(	(	PUNCT
ejpam-6198	98	19	7	7	X
ejpam-6198	98	20	)	)	PUNCT
ejpam-6198	98	21	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	98	22	,	,	PUNCT
ejpam-6198	98	23	t	t	PROPN
ejpam-6198	98	24	)	)	PUNCT
ejpam-6198	98	25	=	=	PUNCT
ejpam-6198	98	26	(	(	PUNCT
ejpam-6198	98	27	µ+	µ+	X
ejpam-6198	98	28	αβdβ	αβdβ	PROPN
ejpam-6198	98	29	t	t	PROPN
ejpam-6198	98	30	)	)	PUNCT
ejpam-6198	98	31	∂	∂	PROPN
ejpam-6198	98	32	∂ρ	∂ρ	PROPN
ejpam-6198	98	33	v(ρ	v(ρ	PROPN
ejpam-6198	98	34	,	,	PUNCT
ejpam-6198	98	35	t	t	PROPN
ejpam-6198	98	36	)	)	PUNCT
ejpam-6198	98	37	,	,	PUNCT
ejpam-6198	98	38	(	(	PUNCT
ejpam-6198	98	39	8)	8)	NUM
ejpam-6198	98	40	where	where	SCONJ
ejpam-6198	98	41	the	the	DET
ejpam-6198	98	42	α	α	NOUN
ejpam-6198	98	43	is	be	AUX
ejpam-6198	98	44	the	the	DET
ejpam-6198	98	45	second	second	ADJ
ejpam-6198	98	46	grade	grade	NOUN
ejpam-6198	98	47	parameter	parameter	NOUN
ejpam-6198	98	48	and	and	CCONJ
ejpam-6198	98	49	gm	gm	PROPN
ejpam-6198	98	50	and	and	CCONJ
ejpam-6198	98	51	gp	gp	NOUN
ejpam-6198	98	52	are	be	AUX
ejpam-6198	98	53	magnetic	magnetic	ADJ
ejpam-6198	98	54	and	and	CCONJ
ejpam-6198	98	55	porous	porous	ADJ
ejpam-6198	98	56	effect	effect	NOUN
ejpam-6198	98	57	dimensionless	dimensionless	NOUN
ejpam-6198	98	58	number	number	NOUN
ejpam-6198	98	59	.	.	PUNCT
ejpam-6198	99	1	the	the	DET
ejpam-6198	99	2	fractional	fractional	ADJ
ejpam-6198	99	3	differential	differential	NOUN
ejpam-6198	99	4	operator	operator	NOUN
ejpam-6198	99	5	dβ	dβ	ADP
ejpam-6198	99	6	t	t	PROPN
ejpam-6198	99	7	called	call	VERB
ejpam-6198	99	8	atangana	atangana	PROPN
ejpam-6198	99	9	baleanu	baleanu	PROPN
ejpam-6198	99	10	fractional	fractional	ADJ
ejpam-6198	99	11	operator	operator	NOUN
ejpam-6198	99	12	,	,	PUNCT
ejpam-6198	99	13	where	where	SCONJ
ejpam-6198	99	14	β	β	NOUN
ejpam-6198	99	15	are	be	AUX
ejpam-6198	99	16	fractional	fractional	ADJ
ejpam-6198	99	17	parameters[8	parameters[8	PROPN
ejpam-6198	99	18	]	]	PUNCT
ejpam-6198	99	19	.	.	PUNCT
ejpam-6198	100	1	with	with	ADP
ejpam-6198	100	2	initial	initial	ADJ
ejpam-6198	100	3	condition	condition	NOUN
ejpam-6198	100	4	,	,	PUNCT
ejpam-6198	100	5	the	the	DET
ejpam-6198	100	6	above	above	ADJ
ejpam-6198	100	7	formula	formula	NOUN
ejpam-6198	100	8	can	can	AUX
ejpam-6198	100	9	apply	apply	VERB
ejpam-6198	100	10	to	to	ADP
ejpam-6198	100	11	a	a	DET
ejpam-6198	100	12	real	real	ADJ
ejpam-6198	100	13	-	-	PUNCT
ejpam-6198	100	14	world	world	NOUN
ejpam-6198	100	15	problem	problem	NOUN
ejpam-6198	100	16	and	and	CCONJ
ejpam-6198	100	17	will	will	AUX
ejpam-6198	100	18	also	also	ADV
ejpam-6198	100	19	be	be	AUX
ejpam-6198	100	20	very	very	ADV
ejpam-6198	100	21	useful	useful	ADJ
ejpam-6198	100	22	for	for	ADP
ejpam-6198	100	23	physical	physical	ADJ
ejpam-6198	100	24	problem	problem	NOUN
ejpam-6198	100	25	when	when	SCONJ
ejpam-6198	100	26	employ	employ	VERB
ejpam-6198	100	27	the	the	DET
ejpam-6198	100	28	laplace	laplace	NOUN
ejpam-6198	100	29	transform	transform	NOUN
ejpam-6198	100	30	.	.	PUNCT
ejpam-6198	101	1	for	for	ADP
ejpam-6198	101	2	β	β	X
ejpam-6198	101	3	→	→	SYM
ejpam-6198	101	4	1	1	NUM
ejpam-6198	101	5	the	the	DET
ejpam-6198	101	6	non	non	ADJ
ejpam-6198	101	7	integers	integer	NOUN
ejpam-6198	101	8	second	second	ADJ
ejpam-6198	101	9	grade	grade	NOUN
ejpam-6198	101	10	fluid	fluid	NOUN
ejpam-6198	101	11	model	model	NOUN
ejpam-6198	101	12	condenses	condense	VERB
ejpam-6198	101	13	to	to	ADP
ejpam-6198	101	14	the	the	DET
ejpam-6198	101	15	ordinary	ordinary	ADJ
ejpam-6198	101	16	second	second	ADJ
ejpam-6198	101	17	grade	grade	NOUN
ejpam-6198	101	18	model	model	NOUN
ejpam-6198	101	19	.	.	PUNCT
ejpam-6198	102	1	3	3	X
ejpam-6198	102	2	.	.	X
ejpam-6198	102	3	development	development	NOUN
ejpam-6198	102	4	of	of	ADP
ejpam-6198	102	5	the	the	DET
ejpam-6198	102	6	problem	problem	NOUN
ejpam-6198	102	7	by	by	ADP
ejpam-6198	102	8	consideration	consideration	NOUN
ejpam-6198	102	9	fractionalized	fractionalize	VERB
ejpam-6198	102	10	mhd	mhd	PROPN
ejpam-6198	102	11	second	second	ADJ
ejpam-6198	102	12	grade	grade	NOUN
ejpam-6198	102	13	fluid	fluid	NOUN
ejpam-6198	102	14	that	that	PRON
ejpam-6198	102	15	is	be	AUX
ejpam-6198	102	16	incompressible	incompressible	ADJ
ejpam-6198	102	17	,	,	PUNCT
ejpam-6198	102	18	initially	initially	ADV
ejpam-6198	102	19	at	at	ADP
ejpam-6198	102	20	rest	rest	NOUN
ejpam-6198	102	21	t	t	NOUN
ejpam-6198	102	22	=	=	PUNCT
ejpam-6198	102	23	0	0	NUM
ejpam-6198	103	1	in	in	ADP
ejpam-6198	103	2	annular	annular	ADJ
ejpam-6198	103	3	region	region	NOUN
ejpam-6198	103	4	of	of	ADP
ejpam-6198	103	5	two	two	NUM
ejpam-6198	103	6	π1	π1	NOUN
ejpam-6198	103	7	and	and	CCONJ
ejpam-6198	103	8	π2	π2	ADJ
ejpam-6198	103	9	radii	radii	NOUN
ejpam-6198	103	10	circular	circular	ADJ
ejpam-6198	103	11	cylinders	cylinder	NOUN
ejpam-6198	103	12	as	as	SCONJ
ejpam-6198	103	13	presented	present	VERB
ejpam-6198	103	14	in	in	ADP
ejpam-6198	103	15	fig	fig	NOUN
ejpam-6198	103	16	.	.	PUNCT
ejpam-6198	104	1	1	1	X
ejpam-6198	104	2	.	.	X
ejpam-6198	105	1	at	at	ADP
ejpam-6198	105	2	t	t	PROPN
ejpam-6198	105	3	=	=	PUNCT
ejpam-6198	105	4	0	0	PUNCT
ejpam-6198	105	5	+	+	CCONJ
ejpam-6198	105	6	the	the	DET
ejpam-6198	105	7	cylinders	cylinder	NOUN
ejpam-6198	105	8	start	start	VERB
ejpam-6198	105	9	to	to	PART
ejpam-6198	105	10	rotate	rotate	VERB
ejpam-6198	105	11	or	or	CCONJ
ejpam-6198	105	12	translate	translate	VERB
ejpam-6198	105	13	around	around	ADP
ejpam-6198	105	14	their	their	PRON
ejpam-6198	105	15	axis	axis	NOUN
ejpam-6198	105	16	(	(	PUNCT
ejpam-6198	105	17	ρ	ρ	NOUN
ejpam-6198	105	18	=	=	NOUN
ejpam-6198	105	19	0	0	NUM
ejpam-6198	105	20	)	)	PUNCT
ejpam-6198	105	21	with	with	ADP
ejpam-6198	105	22	the	the	DET
ejpam-6198	105	23	rotational	rotational	ADJ
ejpam-6198	105	24	velocity	velocity	NOUN
ejpam-6198	105	25	u1h(t	u1h(t	PROPN
ejpam-6198	105	26	)	)	PUNCT
ejpam-6198	105	27	g1(t	g1(t	PROPN
ejpam-6198	105	28	)	)	PUNCT
ejpam-6198	105	29	,	,	PUNCT
ejpam-6198	105	30	u2h(t)g2(t	u2h(t)g2(t	PROPN
ejpam-6198	105	31	)	)	PUNCT
ejpam-6198	105	32	and	and	CCONJ
ejpam-6198	105	33	the	the	DET
ejpam-6198	105	34	translational	translational	ADJ
ejpam-6198	105	35	velocity	velocity	NOUN
ejpam-6198	105	36	v1h(t	v1h(t	PROPN
ejpam-6198	105	37	)	)	PUNCT
ejpam-6198	105	38	g3(t	g3(t	NUM
ejpam-6198	105	39	)	)	PUNCT
ejpam-6198	105	40	,	,	PUNCT
ejpam-6198	105	41	v2h(t	v2h(t	PROPN
ejpam-6198	105	42	)	)	PUNCT
ejpam-6198	105	43	g4(t	g4(t	PROPN
ejpam-6198	105	44	)	)	PUNCT
ejpam-6198	105	45	,	,	PUNCT
ejpam-6198	105	46	where	where	SCONJ
ejpam-6198	105	47	g1(t	g1(t	NOUN
ejpam-6198	105	48	)	)	PUNCT
ejpam-6198	105	49	,	,	PUNCT
ejpam-6198	105	50	g2(t	g2(t	PROPN
ejpam-6198	105	51	)	)	PUNCT
ejpam-6198	105	52	,	,	PUNCT
ejpam-6198	105	53	g3(t	g3(t	NUM
ejpam-6198	105	54	)	)	PUNCT
ejpam-6198	105	55	and	and	CCONJ
ejpam-6198	105	56	g4(t	g4(t	PROPN
ejpam-6198	105	57	)	)	PUNCT
ejpam-6198	105	58	are	be	AUX
ejpam-6198	105	59	any	any	DET
ejpam-6198	105	60	general	general	ADJ
ejpam-6198	105	61	functions	function	NOUN
ejpam-6198	105	62	with	with	ADP
ejpam-6198	105	63	the	the	DET
ejpam-6198	105	64	property	property	NOUN
ejpam-6198	105	65	that	that	PRON
ejpam-6198	105	66	they	they	PRON
ejpam-6198	105	67	are	be	AUX
ejpam-6198	105	68	differentiable	differentiable	ADJ
ejpam-6198	105	69	and	and	CCONJ
ejpam-6198	105	70	integrable	integrable	ADJ
ejpam-6198	105	71	and	and	CCONJ
ejpam-6198	105	72	satisfy	satisfy	VERB
ejpam-6198	105	73	g1(0	g1(0	PROPN
ejpam-6198	105	74	)	)	PUNCT
ejpam-6198	106	1	=	=	SYM
ejpam-6198	106	2	g2(0	g2(0	NOUN
ejpam-6198	106	3	)	)	PUNCT
ejpam-6198	106	4	=	=	SYM
ejpam-6198	106	5	g3(0	g3(0	PROPN
ejpam-6198	106	6	)	)	PUNCT
ejpam-6198	106	7	=	=	SYM
ejpam-6198	106	8	g4(0	g4(0	PROPN
ejpam-6198	106	9	)	)	PUNCT
ejpam-6198	106	10	=	=	SYM
ejpam-6198	107	1	0	0	X
ejpam-6198	107	2	.	.	PUNCT
ejpam-6198	108	1	the	the	DET
ejpam-6198	108	2	velocity	velocity	NOUN
ejpam-6198	108	3	field	field	NOUN
ejpam-6198	108	4	∆	∆	PROPN
ejpam-6198	108	5	is	be	AUX
ejpam-6198	108	6	of	of	ADP
ejpam-6198	108	7	the	the	DET
ejpam-6198	108	8	form	form	NOUN
ejpam-6198	108	9	∆	∆	X
ejpam-6198	108	10	=	=	SYM
ejpam-6198	108	11	∆(ρ	∆(ρ	PROPN
ejpam-6198	108	12	,	,	PUNCT
ejpam-6198	108	13	t	t	PROPN
ejpam-6198	108	14	)	)	PUNCT
ejpam-6198	108	15	=	=	SYM
ejpam-6198	108	16	w(ρ	w(ρ	PROPN
ejpam-6198	108	17	,	,	PUNCT
ejpam-6198	108	18	t)eθ	t)eθ	PROPN
ejpam-6198	108	19	+	+	NUM
ejpam-6198	108	20	v(ρ	v(ρ	PROPN
ejpam-6198	108	21	,	,	PUNCT
ejpam-6198	108	22	t)ez	t)ez	PROPN
ejpam-6198	108	23	(	(	PUNCT
ejpam-6198	108	24	9	9	NUM
ejpam-6198	108	25	)	)	PUNCT
ejpam-6198	108	26	where	where	SCONJ
ejpam-6198	108	27	eθ	eθ	PROPN
ejpam-6198	108	28	,	,	PUNCT
ejpam-6198	108	29	ez	ez	PROPN
ejpam-6198	108	30	are	be	AUX
ejpam-6198	108	31	unit	unit	NOUN
ejpam-6198	108	32	vectors	vector	NOUN
ejpam-6198	108	33	in	in	ADP
ejpam-6198	108	34	transverse	transverse	NOUN
ejpam-6198	108	35	and	and	CCONJ
ejpam-6198	108	36	z	z	NOUN
ejpam-6198	108	37	-	-	NOUN
ejpam-6198	108	38	directions	direction	NOUN
ejpam-6198	108	39	.	.	PUNCT
ejpam-6198	109	1	the	the	DET
ejpam-6198	109	2	appropriate	appropriate	ADJ
ejpam-6198	109	3	governing	govern	VERB
ejpam-6198	109	4	equations	equation	NOUN
ejpam-6198	109	5	are	be	AUX
ejpam-6198	109	6	given	give	VERB
ejpam-6198	109	7	by	by	ADP
ejpam-6198	109	8	eqs	eqs	PROPN
ejpam-6198	109	9	.	.	PUNCT
ejpam-6198	110	1	(	(	PUNCT
ejpam-6198	110	2	5	5	NUM
ejpam-6198	110	3	8)	8)	NUM
ejpam-6198	110	4	.	.	PUNCT
ejpam-6198	111	1	while	while	SCONJ
ejpam-6198	111	2	the	the	DET
ejpam-6198	111	3	suitable	suitable	ADJ
ejpam-6198	111	4	initial	initial	ADJ
ejpam-6198	111	5	and	and	CCONJ
ejpam-6198	111	6	boundary	boundary	ADJ
ejpam-6198	111	7	conditions	condition	NOUN
ejpam-6198	111	8	are	be	AUX
ejpam-6198	111	9	its	its	PRON
ejpam-6198	111	10	velocity	velocity	NOUN
ejpam-6198	111	11	being	be	AUX
ejpam-6198	111	12	of	of	ADP
ejpam-6198	111	13	the	the	DET
ejpam-6198	111	14	form	form	NOUN
ejpam-6198	111	15	w(ρ	w(ρ	PROPN
ejpam-6198	111	16	,	,	PUNCT
ejpam-6198	111	17	0	0	NUM
ejpam-6198	111	18	)	)	PUNCT
ejpam-6198	111	19	=	=	SYM
ejpam-6198	111	20	v(ρ	v(ρ	NOUN
ejpam-6198	111	21	,	,	PUNCT
ejpam-6198	111	22	0	0	NUM
ejpam-6198	111	23	)	)	PUNCT
ejpam-6198	111	24	=	=	SYM
ejpam-6198	111	25	0	0	NUM
ejpam-6198	111	26	;	;	PUNCT
ejpam-6198	111	27	ρ	ρ	PROPN
ejpam-6198	111	28	∈	∈	PROPN
ejpam-6198	111	29	(	(	PUNCT
ejpam-6198	111	30	π1,π2	π1,π2	PROPN
ejpam-6198	111	31	)	)	PUNCT
ejpam-6198	111	32	,	,	PUNCT
ejpam-6198	111	33	(	(	PUNCT
ejpam-6198	111	34	10	10	X
ejpam-6198	111	35	)	)	PUNCT
ejpam-6198	111	36	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	111	37	,	,	PUNCT
ejpam-6198	111	38	0	0	NUM
ejpam-6198	111	39	)	)	PUNCT
ejpam-6198	111	40	=	=	SYM
ejpam-6198	111	41	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	111	42	,	,	PUNCT
ejpam-6198	111	43	0	0	NUM
ejpam-6198	111	44	)	)	PUNCT
ejpam-6198	111	45	=	=	SYM
ejpam-6198	111	46	0	0	NUM
ejpam-6198	111	47	;	;	PUNCT
ejpam-6198	111	48	ρ	ρ	PROPN
ejpam-6198	111	49	∈	∈	PROPN
ejpam-6198	111	50	(	(	PUNCT
ejpam-6198	111	51	π1,π2	π1,π2	PROPN
ejpam-6198	111	52	)	)	PUNCT
ejpam-6198	111	53	,	,	PUNCT
ejpam-6198	111	54	(	(	PUNCT
ejpam-6198	111	55	11	11	X
ejpam-6198	111	56	)	)	PUNCT
ejpam-6198	111	57	m.	m.	NOUN
ejpam-6198	111	58	zafarullah	zafarullah	PROPN
ejpam-6198	111	59	et	et	PROPN
ejpam-6198	111	60	al	al	PROPN
ejpam-6198	111	61	.	.	PUNCT
ejpam-6198	111	62	/	/	SYM
ejpam-6198	111	63	eur	eur	PROPN
ejpam-6198	111	64	.	.	PUNCT
ejpam-6198	112	1	j.	j.	PROPN
ejpam-6198	112	2	pure	pure	PROPN
ejpam-6198	112	3	appl	appl	PROPN
ejpam-6198	112	4	.	.	PROPN
ejpam-6198	112	5	math	math	PROPN
ejpam-6198	112	6	,	,	PUNCT
ejpam-6198	112	7	18	18	NUM
ejpam-6198	112	8	(	(	PUNCT
ejpam-6198	112	9	4	4	NUM
ejpam-6198	112	10	)	)	PUNCT
ejpam-6198	112	11	(	(	PUNCT
ejpam-6198	112	12	2025	2025	NUM
ejpam-6198	112	13	)	)	PUNCT
ejpam-6198	112	14	,	,	PUNCT
ejpam-6198	112	15	6198	6198	NUM
ejpam-6198	112	16	8	8	NUM
ejpam-6198	112	17	of	of	ADP
ejpam-6198	112	18	41	41	NUM
ejpam-6198	112	19	respectively	respectively	ADV
ejpam-6198	112	20	,	,	PUNCT
ejpam-6198	112	21	w(π1	w(π1	PROPN
ejpam-6198	112	22	,	,	PUNCT
ejpam-6198	112	23	t	t	PROPN
ejpam-6198	112	24	)	)	PUNCT
ejpam-6198	112	25	=	=	PUNCT
ejpam-6198	112	26	u1h(t)g1(t	u1h(t)g1(t	PROPN
ejpam-6198	112	27	)	)	PUNCT
ejpam-6198	112	28	,	,	PUNCT
ejpam-6198	112	29	w(π2	w(π2	NOUN
ejpam-6198	112	30	,	,	PUNCT
ejpam-6198	112	31	t	t	PROPN
ejpam-6198	112	32	)	)	PUNCT
ejpam-6198	112	33	=	=	SYM
ejpam-6198	112	34	u2h(t)g2(t	u2h(t)g2(t	X
ejpam-6198	112	35	)	)	PUNCT
ejpam-6198	112	36	,	,	PUNCT
ejpam-6198	112	37	(	(	PUNCT
ejpam-6198	112	38	12	12	NUM
ejpam-6198	112	39	)	)	PUNCT
ejpam-6198	112	40	v(π1	v(π1	PROPN
ejpam-6198	112	41	,	,	PUNCT
ejpam-6198	112	42	t	t	PROPN
ejpam-6198	112	43	)	)	PUNCT
ejpam-6198	112	44	=	=	PRON
ejpam-6198	112	45	v1h(t)g3(t	v1h(t)g3(t	VERB
ejpam-6198	112	46	)	)	PUNCT
ejpam-6198	112	47	,	,	PUNCT
ejpam-6198	112	48	v(π2	v(π2	NOUN
ejpam-6198	112	49	,	,	PUNCT
ejpam-6198	112	50	t	t	PROPN
ejpam-6198	112	51	)	)	PUNCT
ejpam-6198	112	52	=	=	SYM
ejpam-6198	112	53	v2h(t)g4(t	v2h(t)g4(t	NOUN
ejpam-6198	112	54	)	)	PUNCT
ejpam-6198	112	55	,	,	PUNCT
ejpam-6198	112	56	(	(	PUNCT
ejpam-6198	112	57	13	13	X
ejpam-6198	112	58	)	)	PUNCT
ejpam-6198	112	59	t	t	PROPN
ejpam-6198	112	60	,	,	PUNCT
ejpam-6198	112	61	ρ	ρ	PROPN
ejpam-6198	112	62	≥	≥	NOUN
ejpam-6198	112	63	0	0	NUM
ejpam-6198	112	64	,	,	PUNCT
ejpam-6198	112	65	where	where	SCONJ
ejpam-6198	112	66	h(t	h(t	PROPN
ejpam-6198	112	67	)	)	PUNCT
ejpam-6198	112	68	is	be	AUX
ejpam-6198	112	69	denoted	denote	VERB
ejpam-6198	112	70	as	as	ADP
ejpam-6198	112	71	the	the	DET
ejpam-6198	112	72	heaviside	heaviside	ADJ
ejpam-6198	112	73	function	function	NOUN
ejpam-6198	112	74	and	and	CCONJ
ejpam-6198	112	75	u1	u1	NOUN
ejpam-6198	112	76	,	,	PUNCT
ejpam-6198	112	77	u2	u2	NOUN
ejpam-6198	112	78	,	,	PUNCT
ejpam-6198	112	79	v1	v1	NOUN
ejpam-6198	112	80	,	,	PUNCT
ejpam-6198	112	81	v2	v2	PROPN
ejpam-6198	112	82	represents	represent	VERB
ejpam-6198	112	83	constants	constant	NOUN
ejpam-6198	112	84	.	.	PUNCT
ejpam-6198	113	1	usually	usually	ADV
ejpam-6198	113	2	the	the	DET
ejpam-6198	113	3	boundary	boundary	ADJ
ejpam-6198	113	4	conditions	condition	NOUN
ejpam-6198	113	5	of	of	ADP
ejpam-6198	113	6	fluid	fluid	ADJ
ejpam-6198	113	7	dynamics	dynamic	NOUN
ejpam-6198	113	8	those	those	PRON
ejpam-6198	113	9	are	be	AUX
ejpam-6198	113	10	taken	take	VERB
ejpam-6198	113	11	in	in	ADP
ejpam-6198	113	12	the	the	DET
ejpam-6198	113	13	literature	literature	NOUN
ejpam-6198	113	14	are	be	AUX
ejpam-6198	113	15	constants	constants	PROPN
ejpam-6198	113	16	t	t	PROPN
ejpam-6198	113	17	,	,	PUNCT
ejpam-6198	113	18	t2	t2	PROPN
ejpam-6198	113	19	,	,	PUNCT
ejpam-6198	113	20	tn	tn	PROPN
ejpam-6198	113	21	,	,	PUNCT
ejpam-6198	113	22	eat	eat	NOUN
ejpam-6198	113	23	,	,	PUNCT
ejpam-6198	113	24	sin(ωt	sin(ωt	NOUN
ejpam-6198	113	25	)	)	PUNCT
ejpam-6198	113	26	,	,	PUNCT
ejpam-6198	113	27	cos(ωt	cos(ωt	NOUN
ejpam-6198	113	28	)	)	PUNCT
ejpam-6198	113	29	etc	etc	X
ejpam-6198	113	30	.	.	X
ejpam-6198	114	1	only	only	ADV
ejpam-6198	114	2	few	few	ADJ
ejpam-6198	114	3	papers	paper	NOUN
ejpam-6198	114	4	of	of	ADP
ejpam-6198	114	5	the	the	DET
ejpam-6198	114	6	fractionalized	fractionalized	ADJ
ejpam-6198	114	7	governing	govern	VERB
ejpam-6198	114	8	equations	equation	NOUN
ejpam-6198	114	9	with	with	ADP
ejpam-6198	114	10	caputo	caputo	PROPN
ejpam-6198	114	11	fractional	fractional	PROPN
ejpam-6198	114	12	operator	operator	NOUN
ejpam-6198	114	13	those	those	PRON
ejpam-6198	114	14	are	be	AUX
ejpam-6198	114	15	less	less	ADV
ejpam-6198	114	16	difficult	difficult	ADJ
ejpam-6198	114	17	of	of	ADP
ejpam-6198	114	18	the	the	DET
ejpam-6198	114	19	present	present	ADJ
ejpam-6198	114	20	governing	governing	NOUN
ejpam-6198	114	21	equations	equation	NOUN
ejpam-6198	114	22	,	,	PUNCT
ejpam-6198	114	23	are	be	AUX
ejpam-6198	114	24	available	available	ADJ
ejpam-6198	114	25	in	in	ADP
ejpam-6198	114	26	the	the	DET
ejpam-6198	114	27	literature	literature	NOUN
ejpam-6198	114	28	with	with	ADP
ejpam-6198	114	29	the	the	DET
ejpam-6198	114	30	above	above	ADJ
ejpam-6198	114	31	boundary	boundary	ADJ
ejpam-6198	114	32	conditions	condition	NOUN
ejpam-6198	114	33	and	and	CCONJ
ejpam-6198	114	34	famous	famous	ADJ
ejpam-6198	114	35	generalized	generalized	ADJ
ejpam-6198	114	36	functions	function	NOUN
ejpam-6198	114	37	like	like	ADP
ejpam-6198	114	38	mittag	mittag	ADJ
ejpam-6198	114	39	-	-	PUNCT
ejpam-6198	114	40	leffler	leffler	NOUN
ejpam-6198	114	41	eα	eα	NOUN
ejpam-6198	114	42	,	,	PUNCT
ejpam-6198	114	43	β(z	β(z	PROPN
ejpam-6198	114	44	)	)	PUNCT
ejpam-6198	114	45	,	,	PUNCT
ejpam-6198	114	46	eγ	eγ	ADP
ejpam-6198	114	47	α	α	NOUN
ejpam-6198	114	48	,	,	PUNCT
ejpam-6198	114	49	β(z	β(z	PROPN
ejpam-6198	114	50	)	)	PUNCT
ejpam-6198	114	51	,	,	PUNCT
ejpam-6198	114	52	lorengo	lorengo	PROPN
ejpam-6198	114	53	ga	ga	PROPN
ejpam-6198	114	54	,	,	PUNCT
ejpam-6198	114	55	b	b	PROPN
ejpam-6198	114	56	,	,	PUNCT
ejpam-6198	114	57	c(d	c(d	PROPN
ejpam-6198	114	58	,	,	PUNCT
ejpam-6198	114	59	t	t	PROPN
ejpam-6198	114	60	)	)	PUNCT
ejpam-6198	114	61	,	,	PUNCT
ejpam-6198	114	62	ra	ra	PROPN
ejpam-6198	114	63	,	,	PUNCT
ejpam-6198	114	64	b(c	b(c	PROPN
ejpam-6198	114	65	,	,	PUNCT
ejpam-6198	114	66	t	t	NOUN
ejpam-6198	114	67	)	)	PUNCT
ejpam-6198	114	68	functions[30	functions[30	NOUN
ejpam-6198	114	69	,	,	PUNCT
ejpam-6198	114	70	36–38	36–38	NUM
ejpam-6198	114	71	]	]	PUNCT
ejpam-6198	114	72	.	.	PUNCT
ejpam-6198	115	1	in	in	ADP
ejpam-6198	115	2	order	order	NOUN
ejpam-6198	115	3	to	to	PART
ejpam-6198	115	4	make	make	VERB
ejpam-6198	115	5	our	our	PRON
ejpam-6198	115	6	problem	problem	NOUN
ejpam-6198	115	7	more	more	ADV
ejpam-6198	115	8	genuine	genuine	ADJ
ejpam-6198	115	9	and	and	CCONJ
ejpam-6198	115	10	original	original	ADJ
ejpam-6198	115	11	work	work	NOUN
ejpam-6198	115	12	,	,	PUNCT
ejpam-6198	115	13	not	not	PART
ejpam-6198	115	14	only	only	ADV
ejpam-6198	115	15	we	we	PRON
ejpam-6198	115	16	include	include	VERB
ejpam-6198	115	17	the	the	DET
ejpam-6198	115	18	magnetic	magnetic	ADJ
ejpam-6198	115	19	and	and	CCONJ
ejpam-6198	115	20	porosity	porosity	NOUN
ejpam-6198	115	21	terms	term	NOUN
ejpam-6198	115	22	in	in	ADP
ejpam-6198	115	23	governing	govern	VERB
ejpam-6198	115	24	equations	equation	NOUN
ejpam-6198	115	25	but	but	CCONJ
ejpam-6198	115	26	we	we	PRON
ejpam-6198	115	27	consider	consider	VERB
ejpam-6198	115	28	the	the	DET
ejpam-6198	115	29	helical	helical	ADJ
ejpam-6198	115	30	flow	flow	NOUN
ejpam-6198	115	31	of	of	ADP
ejpam-6198	115	32	the	the	DET
ejpam-6198	115	33	problem	problem	NOUN
ejpam-6198	115	34	.	.	PUNCT
ejpam-6198	116	1	furthermore	furthermore	ADV
ejpam-6198	116	2	,	,	PUNCT
ejpam-6198	116	3	instead	instead	ADV
ejpam-6198	116	4	of	of	ADP
ejpam-6198	116	5	solving	solve	VERB
ejpam-6198	116	6	the	the	DET
ejpam-6198	116	7	problem	problem	NOUN
ejpam-6198	116	8	by	by	ADP
ejpam-6198	116	9	taking	take	VERB
ejpam-6198	116	10	some	some	DET
ejpam-6198	116	11	specific	specific	ADJ
ejpam-6198	116	12	functions	function	NOUN
ejpam-6198	116	13	on	on	ADP
ejpam-6198	116	14	the	the	DET
ejpam-6198	116	15	boundary	boundary	ADJ
ejpam-6198	116	16	conditions	condition	NOUN
ejpam-6198	116	17	given	give	VERB
ejpam-6198	116	18	above	above	ADV
ejpam-6198	116	19	and	and	CCONJ
ejpam-6198	116	20	to	to	PART
ejpam-6198	116	21	facilitate	facilitate	VERB
ejpam-6198	116	22	the	the	DET
ejpam-6198	116	23	engineers	engineer	NOUN
ejpam-6198	116	24	and	and	CCONJ
ejpam-6198	116	25	applied	applied	ADJ
ejpam-6198	116	26	scientists	scientist	NOUN
ejpam-6198	116	27	,	,	PUNCT
ejpam-6198	116	28	we	we	PRON
ejpam-6198	116	29	take	take	VERB
ejpam-6198	116	30	the	the	DET
ejpam-6198	116	31	generalized	generalize	VERB
ejpam-6198	116	32	functions	function	NOUN
ejpam-6198	116	33	on	on	ADP
ejpam-6198	116	34	the	the	DET
ejpam-6198	116	35	boundary	boundary	NOUN
ejpam-6198	116	36	of	of	ADP
ejpam-6198	116	37	the	the	DET
ejpam-6198	116	38	cylinders	cylinder	NOUN
ejpam-6198	116	39	g1(t	g1(t	NOUN
ejpam-6198	116	40	)	)	PUNCT
ejpam-6198	116	41	,	,	PUNCT
ejpam-6198	116	42	g2(t	g2(t	PROPN
ejpam-6198	116	43	)	)	PUNCT
ejpam-6198	116	44	,	,	PUNCT
ejpam-6198	116	45	g3(t	g3(t	NUM
ejpam-6198	116	46	)	)	PUNCT
ejpam-6198	116	47	and	and	CCONJ
ejpam-6198	116	48	g4(t	g4(t	PROPN
ejpam-6198	116	49	)	)	PUNCT
ejpam-6198	116	50	.	.	PUNCT
ejpam-6198	117	1	employing	employ	VERB
ejpam-6198	117	2	such	such	ADJ
ejpam-6198	117	3	type	type	NOUN
ejpam-6198	117	4	of	of	ADP
ejpam-6198	117	5	generalized	generalized	ADJ
ejpam-6198	117	6	boundary	boundary	ADJ
ejpam-6198	117	7	conditions	condition	NOUN
ejpam-6198	117	8	is	be	AUX
ejpam-6198	117	9	not	not	PART
ejpam-6198	117	10	new	new	ADJ
ejpam-6198	117	11	in	in	ADP
ejpam-6198	117	12	the	the	DET
ejpam-6198	117	13	literature	literature	NOUN
ejpam-6198	117	14	,	,	PUNCT
ejpam-6198	117	15	for	for	ADP
ejpam-6198	117	16	this	this	PRON
ejpam-6198	117	17	we	we	PRON
ejpam-6198	117	18	mention	mention	VERB
ejpam-6198	117	19	here	here	ADV
ejpam-6198	117	20	some	some	DET
ejpam-6198	117	21	recent	recent	ADJ
ejpam-6198	117	22	contributions[39	contributions[39	NOUN
ejpam-6198	117	23	,	,	PUNCT
ejpam-6198	117	24	40	40	NUM
ejpam-6198	117	25	]	]	PUNCT
ejpam-6198	117	26	.	.	PUNCT
ejpam-6198	118	1	4	4	X
ejpam-6198	118	2	.	.	X
ejpam-6198	118	3	computational	computational	ADJ
ejpam-6198	118	4	work	work	NOUN
ejpam-6198	118	5	4.1	4.1	NUM
ejpam-6198	118	6	.	.	PUNCT
ejpam-6198	119	1	for	for	ADP
ejpam-6198	119	2	velocity	velocity	NOUN
ejpam-6198	119	3	field	field	NOUN
ejpam-6198	119	4	recall	recall	VERB
ejpam-6198	119	5	the	the	DET
ejpam-6198	119	6	initial	initial	ADJ
ejpam-6198	119	7	condition	condition	NOUN
ejpam-6198	119	8	eq	eq	ADP
ejpam-6198	119	9	.	.	PUNCT
ejpam-6198	120	1	(	(	PUNCT
ejpam-6198	120	2	10	10	NUM
ejpam-6198	120	3	)	)	PUNCT
ejpam-6198	120	4	,	,	PUNCT
ejpam-6198	120	5	employ	employ	VERB
ejpam-6198	120	6	laplace	laplace	NOUN
ejpam-6198	120	7	transform	transform	NOUN
ejpam-6198	120	8	formula	formula	NOUN
ejpam-6198	120	9	for	for	ADP
ejpam-6198	120	10	fractional	fractional	ADJ
ejpam-6198	120	11	derivative	derivative	NOUN
ejpam-6198	120	12	to	to	ADP
ejpam-6198	120	13	eqs	eqs	PROPN
ejpam-6198	120	14	.	.	PUNCT
ejpam-6198	121	1	(	(	PUNCT
ejpam-6198	121	2	5	5	NUM
ejpam-6198	121	3	)	)	PUNCT
ejpam-6198	121	4	and	and	CCONJ
ejpam-6198	121	5	(	(	PUNCT
ejpam-6198	121	6	6	6	NUM
ejpam-6198	121	7	)	)	PUNCT
ejpam-6198	121	8	and	and	CCONJ
ejpam-6198	121	9	boundary	boundary	ADJ
ejpam-6198	121	10	condition	condition	NOUN
ejpam-6198	121	11	eqs.(12	eqs.(12	PROPN
ejpam-6198	121	12	)	)	PUNCT
ejpam-6198	121	13	and	and	CCONJ
ejpam-6198	121	14	(	(	PUNCT
ejpam-6198	121	15	13	13	NUM
ejpam-6198	121	16	)	)	PUNCT
ejpam-6198	121	17	.	.	PUNCT
ejpam-6198	122	1	we	we	PRON
ejpam-6198	122	2	find	find	VERB
ejpam-6198	122	3	that	that	SCONJ
ejpam-6198	122	4	sw̄(ρ	sw̄(ρ	NUM
ejpam-6198	122	5	,	,	PUNCT
ejpam-6198	122	6	s	s	X
ejpam-6198	122	7	)	)	PUNCT
ejpam-6198	122	8	=	=	SYM
ejpam-6198	122	9	(	(	PUNCT
ejpam-6198	122	10	ν	ν	X
ejpam-6198	122	11	+	+	CCONJ
ejpam-6198	122	12	αβa0	αβa0	PROPN
ejpam-6198	122	13	sβ	sβ	PROPN
ejpam-6198	122	14	sβ	sβ	NOUN
ejpam-6198	122	15	+	+	CCONJ
ejpam-6198	122	16	a1	a1	NOUN
ejpam-6198	122	17	)	)	PUNCT
ejpam-6198	122	18	(	(	PUNCT
ejpam-6198	122	19	∂2	∂2	NUM
ejpam-6198	122	20	∂ρ2	∂ρ2	NOUN
ejpam-6198	122	21	+	+	CCONJ
ejpam-6198	122	22	1	1	NUM
ejpam-6198	122	23	ρ	ρ	NUM
ejpam-6198	122	24	∂	∂	NOUN
ejpam-6198	122	25	∂ρ	∂ρ	PROPN
ejpam-6198	122	26	−	−	PROPN
ejpam-6198	122	27	1	1	NUM
ejpam-6198	122	28	ρ2	ρ2	NOUN
ejpam-6198	122	29	)	)	PUNCT
ejpam-6198	122	30	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	122	31	,	,	PUNCT
ejpam-6198	122	32	s)−gmw̄(ρ	s)−gmw̄(ρ	PROPN
ejpam-6198	122	33	,	,	PUNCT
ejpam-6198	122	34	s	s	NOUN
ejpam-6198	122	35	)	)	PUNCT
ejpam-6198	122	36	−gp	−gp	PROPN
ejpam-6198	122	37	(	(	PUNCT
ejpam-6198	122	38	ν	ν	X
ejpam-6198	122	39	+	+	CCONJ
ejpam-6198	122	40	αβa0	αβa0	PROPN
ejpam-6198	122	41	sβ	sβ	PROPN
ejpam-6198	122	42	sβ	sβ	NOUN
ejpam-6198	122	43	+	+	CCONJ
ejpam-6198	122	44	a1	a1	NOUN
ejpam-6198	122	45	)	)	PUNCT
ejpam-6198	122	46	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	122	47	,	,	PUNCT
ejpam-6198	122	48	s	s	NOUN
ejpam-6198	122	49	)	)	PUNCT
ejpam-6198	122	50	;	;	PUNCT
ejpam-6198	122	51	ρ	ρ	PROPN
ejpam-6198	122	52	∈	∈	PROPN
ejpam-6198	122	53	(	(	PUNCT
ejpam-6198	122	54	π1,π2	π1,π2	PROPN
ejpam-6198	122	55	)	)	PUNCT
ejpam-6198	122	56	,	,	PUNCT
ejpam-6198	122	57	(	(	PUNCT
ejpam-6198	122	58	14	14	NUM
ejpam-6198	122	59	)	)	SYM
ejpam-6198	122	60	sv̄(ρ	sv̄(ρ	NUM
ejpam-6198	122	61	,	,	PUNCT
ejpam-6198	122	62	s	s	X
ejpam-6198	122	63	)	)	PUNCT
ejpam-6198	122	64	=	=	SYM
ejpam-6198	122	65	(	(	PUNCT
ejpam-6198	122	66	ν	ν	X
ejpam-6198	122	67	+	+	CCONJ
ejpam-6198	122	68	αβa0	αβa0	PROPN
ejpam-6198	122	69	sβ	sβ	PROPN
ejpam-6198	122	70	sβ	sβ	NOUN
ejpam-6198	122	71	+	+	CCONJ
ejpam-6198	122	72	a1	a1	NOUN
ejpam-6198	122	73	)	)	PUNCT
ejpam-6198	122	74	(	(	PUNCT
ejpam-6198	122	75	∂2	∂2	NUM
ejpam-6198	122	76	∂ρ2	∂ρ2	NOUN
ejpam-6198	122	77	+	+	CCONJ
ejpam-6198	122	78	1	1	NUM
ejpam-6198	122	79	ρ	ρ	NUM
ejpam-6198	122	80	∂	∂	NUM
ejpam-6198	122	81	∂ρ	∂ρ	PROPN
ejpam-6198	122	82	)	)	PUNCT
ejpam-6198	122	83	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	122	84	,	,	PUNCT
ejpam-6198	122	85	s)−gmv̄(ρ	s)−gmv̄(ρ	PROPN
ejpam-6198	122	86	,	,	PUNCT
ejpam-6198	122	87	s	s	NOUN
ejpam-6198	122	88	)	)	PUNCT
ejpam-6198	122	89	m.	m.	NOUN
ejpam-6198	122	90	zafarullah	zafarullah	PROPN
ejpam-6198	122	91	et	et	PROPN
ejpam-6198	122	92	al	al	PROPN
ejpam-6198	122	93	.	.	PUNCT
ejpam-6198	122	94	/	/	SYM
ejpam-6198	122	95	eur	eur	PROPN
ejpam-6198	122	96	.	.	PUNCT
ejpam-6198	123	1	j.	j.	PROPN
ejpam-6198	123	2	pure	pure	PROPN
ejpam-6198	123	3	appl	appl	PROPN
ejpam-6198	123	4	.	.	PROPN
ejpam-6198	123	5	math	math	PROPN
ejpam-6198	123	6	,	,	PUNCT
ejpam-6198	123	7	18	18	NUM
ejpam-6198	123	8	(	(	PUNCT
ejpam-6198	123	9	4	4	NUM
ejpam-6198	123	10	)	)	PUNCT
ejpam-6198	123	11	(	(	PUNCT
ejpam-6198	123	12	2025	2025	NUM
ejpam-6198	123	13	)	)	PUNCT
ejpam-6198	123	14	,	,	PUNCT
ejpam-6198	123	15	6198	6198	NUM
ejpam-6198	123	16	9	9	NUM
ejpam-6198	123	17	of	of	ADP
ejpam-6198	123	18	41	41	NUM
ejpam-6198	123	19	−gp	−gp	NOUN
ejpam-6198	123	20	(	(	PUNCT
ejpam-6198	123	21	ν	ν	X
ejpam-6198	123	22	+	+	CCONJ
ejpam-6198	123	23	αβa0	αβa0	PROPN
ejpam-6198	123	24	sβ	sβ	PROPN
ejpam-6198	123	25	sβ	sβ	NOUN
ejpam-6198	123	26	+	+	CCONJ
ejpam-6198	123	27	a1	a1	NOUN
ejpam-6198	123	28	)	)	PUNCT
ejpam-6198	123	29	v(ρ	v(ρ	PROPN
ejpam-6198	123	30	,	,	PUNCT
ejpam-6198	123	31	s	s	PART
ejpam-6198	123	32	)	)	PUNCT
ejpam-6198	123	33	;	;	PUNCT
ejpam-6198	123	34	ρ	ρ	PROPN
ejpam-6198	123	35	∈	∈	PROPN
ejpam-6198	123	36	(	(	PUNCT
ejpam-6198	123	37	π1,π2	π1,π2	PROPN
ejpam-6198	123	38	)	)	PUNCT
ejpam-6198	123	39	.	.	PUNCT
ejpam-6198	124	1	(	(	PUNCT
ejpam-6198	124	2	15	15	NUM
ejpam-6198	124	3	)	)	PUNCT
ejpam-6198	124	4	where	where	SCONJ
ejpam-6198	124	5	the	the	DET
ejpam-6198	124	6	laplace	laplace	NOUN
ejpam-6198	124	7	transform	transform	NOUN
ejpam-6198	124	8	of	of	ADP
ejpam-6198	124	9	the	the	DET
ejpam-6198	124	10	abc	abc	PROPN
ejpam-6198	124	11	fractional	fractional	PROPN
ejpam-6198	124	12	derivative	derivative	PROPN
ejpam-6198	124	13	dβ	dβ	PROPN
ejpam-6198	124	14	t	t	PROPN
ejpam-6198	124	15	is	be	AUX
ejpam-6198	124	16	l(dβ	l(dβ	X
ejpam-6198	124	17	t	t	PROPN
ejpam-6198	124	18	ψ(η	ψ(η	PROPN
ejpam-6198	124	19	,	,	PUNCT
ejpam-6198	124	20	t	t	PROPN
ejpam-6198	124	21	)	)	PUNCT
ejpam-6198	124	22	)	)	PUNCT
ejpam-6198	125	1	=	=	PUNCT
ejpam-6198	125	2	a	a	DET
ejpam-6198	125	3	◦	◦	NOUN
ejpam-6198	125	4	s	s	NOUN
ejpam-6198	125	5	βl(ψ(η	βl(ψ(η	NOUN
ejpam-6198	125	6	,	,	PUNCT
ejpam-6198	125	7	t))−	t))−	NOUN
ejpam-6198	125	8	sβ−1ψ(η	sβ−1ψ(η	NOUN
ejpam-6198	125	9	,	,	PUNCT
ejpam-6198	125	10	0	0	NUM
ejpam-6198	125	11	)	)	PUNCT
ejpam-6198	125	12	sβ	sβ	NOUN
ejpam-6198	125	13	+	+	CCONJ
ejpam-6198	125	14	a1	a1	NOUN
ejpam-6198	125	15	,	,	PUNCT
ejpam-6198	125	16	where	where	SCONJ
ejpam-6198	125	17	a	a	DET
ejpam-6198	125	18	◦	◦	NOUN
ejpam-6198	125	19	=	=	SYM
ejpam-6198	125	20	1	1	NUM
ejpam-6198	125	21	1−	1−	NUM
ejpam-6198	125	22	β	β	X
ejpam-6198	125	23	,	,	PUNCT
ejpam-6198	125	24	a1	a1	NOUN
ejpam-6198	125	25	=	=	PUNCT
ejpam-6198	125	26	β	β	NOUN
ejpam-6198	125	27	1−	1−	NUM
ejpam-6198	125	28	β	β	X
ejpam-6198	125	29	.	.	PUNCT
ejpam-6198	126	1	to	to	PART
ejpam-6198	126	2	achieve	achieve	VERB
ejpam-6198	126	3	the	the	DET
ejpam-6198	126	4	conditions	condition	NOUN
ejpam-6198	126	5	,	,	PUNCT
ejpam-6198	126	6	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	126	7	,	,	PUNCT
ejpam-6198	126	8	s	s	NOUN
ejpam-6198	126	9	)	)	PUNCT
ejpam-6198	126	10	and	and	CCONJ
ejpam-6198	126	11	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	126	12	,	,	PUNCT
ejpam-6198	126	13	s	s	X
ejpam-6198	126	14	)	)	PUNCT
ejpam-6198	126	15	are	be	AUX
ejpam-6198	126	16	image	image	NOUN
ejpam-6198	126	17	functions	function	NOUN
ejpam-6198	126	18	of	of	ADP
ejpam-6198	126	19	w(ρ	w(ρ	PROPN
ejpam-6198	126	20	,	,	PUNCT
ejpam-6198	126	21	t	t	PROPN
ejpam-6198	126	22	)	)	PUNCT
ejpam-6198	126	23	and	and	CCONJ
ejpam-6198	126	24	v(ρ	v(ρ	PROPN
ejpam-6198	126	25	,	,	PUNCT
ejpam-6198	126	26	t	t	PROPN
ejpam-6198	126	27	)	)	PUNCT
ejpam-6198	126	28	.	.	PUNCT
ejpam-6198	127	1	w̄(π1	w̄(π1	PROPN
ejpam-6198	127	2	,	,	PUNCT
ejpam-6198	127	3	s	s	X
ejpam-6198	127	4	)	)	PUNCT
ejpam-6198	127	5	=	=	SYM
ejpam-6198	127	6	u1g1(s	u1g1(s	PROPN
ejpam-6198	127	7	)	)	PUNCT
ejpam-6198	127	8	,	,	PUNCT
ejpam-6198	127	9	w̄(π2	w̄(π2	PROPN
ejpam-6198	127	10	,	,	PUNCT
ejpam-6198	127	11	s	s	NOUN
ejpam-6198	127	12	)	)	PUNCT
ejpam-6198	127	13	=	=	SYM
ejpam-6198	127	14	u2g2(s	u2g2(s	PROPN
ejpam-6198	127	15	)	)	PUNCT
ejpam-6198	127	16	,	,	PUNCT
ejpam-6198	127	17	(	(	PUNCT
ejpam-6198	127	18	16	16	NUM
ejpam-6198	127	19	)	)	PUNCT
ejpam-6198	127	20	v̄(π1	v̄(π1	X
ejpam-6198	127	21	,	,	PUNCT
ejpam-6198	127	22	s	s	X
ejpam-6198	127	23	)	)	PUNCT
ejpam-6198	127	24	=	=	SYM
ejpam-6198	127	25	v1g3(s	v1g3(s	PROPN
ejpam-6198	127	26	)	)	PUNCT
ejpam-6198	127	27	,	,	PUNCT
ejpam-6198	127	28	v̄(π2	v̄(π2	X
ejpam-6198	127	29	,	,	PUNCT
ejpam-6198	127	30	s	s	NOUN
ejpam-6198	127	31	)	)	PUNCT
ejpam-6198	127	32	=	=	SYM
ejpam-6198	127	33	v2g4(s	v2g4(s	NOUN
ejpam-6198	127	34	)	)	PUNCT
ejpam-6198	127	35	,	,	PUNCT
ejpam-6198	127	36	(	(	PUNCT
ejpam-6198	127	37	17	17	NUM
ejpam-6198	127	38	)	)	PUNCT
ejpam-6198	127	39	and	and	CCONJ
ejpam-6198	127	40	we	we	PRON
ejpam-6198	127	41	denote	denote	VERB
ejpam-6198	127	42	the	the	DET
ejpam-6198	127	43	hankel	hankel	NOUN
ejpam-6198	127	44	transformation	transformation	NOUN
ejpam-6198	127	45	of	of	ADP
ejpam-6198	127	46	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	127	47	,	,	PUNCT
ejpam-6198	127	48	s	s	NOUN
ejpam-6198	127	49	)	)	PUNCT
ejpam-6198	127	50	and	and	CCONJ
ejpam-6198	127	51	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	127	52	,	,	PUNCT
ejpam-6198	127	53	s	s	X
ejpam-6198	127	54	)	)	PUNCT
ejpam-6198	127	55	in	in	ADP
ejpam-6198	127	56	the	the	DET
ejpam-6198	127	57	following	following	NOUN
ejpam-6198	127	58	:	:	PUNCT
ejpam-6198	127	59	w̄h(ρn	w̄h(ρn	PROPN
ejpam-6198	127	60	,	,	PUNCT
ejpam-6198	127	61	s	s	X
ejpam-6198	127	62	)	)	PUNCT
ejpam-6198	128	1	=	=	SYM
ejpam-6198	128	2	∫	∫	PROPN
ejpam-6198	128	3	π2	π2	ADJ
ejpam-6198	128	4	π1	π1	NOUN
ejpam-6198	128	5	ρw̄(ρ	ρw̄(ρ	NUM
ejpam-6198	128	6	,	,	PUNCT
ejpam-6198	128	7	s)d1(ρ	s)d1(ρ	PROPN
ejpam-6198	128	8	,	,	PUNCT
ejpam-6198	128	9	ρn)dρ	ρn)dρ	X
ejpam-6198	128	10	,	,	PUNCT
ejpam-6198	128	11	(	(	PUNCT
ejpam-6198	128	12	18	18	NUM
ejpam-6198	128	13	)	)	PUNCT
ejpam-6198	128	14	and	and	CCONJ
ejpam-6198	128	15	v̄h(ρm	v̄h(ρm	NOUN
ejpam-6198	128	16	,	,	PUNCT
ejpam-6198	128	17	s	s	PART
ejpam-6198	128	18	)	)	PUNCT
ejpam-6198	128	19	=	=	SYM
ejpam-6198	129	1	∫	∫	PROPN
ejpam-6198	129	2	π2	π2	PROPN
ejpam-6198	129	3	π1	π1	PROPN
ejpam-6198	129	4	ρv̄(ρ	ρv̄(ρ	NUM
ejpam-6198	129	5	,	,	PUNCT
ejpam-6198	129	6	s)d0(ρ	s)d0(ρ	PROPN
ejpam-6198	129	7	,	,	PUNCT
ejpam-6198	129	8	ρm)dρ	ρm)dρ	PROPN
ejpam-6198	129	9	,	,	PUNCT
ejpam-6198	129	10	(	(	PUNCT
ejpam-6198	129	11	19	19	NUM
ejpam-6198	129	12	)	)	PUNCT
ejpam-6198	129	13	where	where	SCONJ
ejpam-6198	129	14	d1(ρ	d1(ρ	NOUN
ejpam-6198	129	15	,	,	PUNCT
ejpam-6198	129	16	ρn	ρn	NUM
ejpam-6198	129	17	)	)	PUNCT
ejpam-6198	129	18	=	=	SYM
ejpam-6198	129	19	j1(ρρn)y1(π2ρn)−	j1(ρρn)y1(π2ρn)−	NOUN
ejpam-6198	129	20	j1(π2ρn)y1(ρρn	j1(π2ρn)y1(ρρn	NOUN
ejpam-6198	129	21	)	)	PUNCT
ejpam-6198	129	22	,	,	PUNCT
ejpam-6198	129	23	(	(	PUNCT
ejpam-6198	129	24	20	20	X
ejpam-6198	129	25	)	)	PUNCT
ejpam-6198	129	26	d0(ρ	d0(ρ	PROPN
ejpam-6198	129	27	,	,	PUNCT
ejpam-6198	129	28	ρm	ρm	NOUN
ejpam-6198	129	29	)	)	PUNCT
ejpam-6198	129	30	=	=	PUNCT
ejpam-6198	130	1	j0(ρρm)y0(π2ρm)−	j0(ρρm)y0(π2ρm)−	ADJ
ejpam-6198	130	2	j0(π2ρm)y0(ρρm	j0(π2ρm)y0(ρρm	NOUN
ejpam-6198	130	3	)	)	PUNCT
ejpam-6198	130	4	.	.	PUNCT
ejpam-6198	131	1	(	(	PUNCT
ejpam-6198	131	2	21	21	NUM
ejpam-6198	131	3	)	)	PUNCT
ejpam-6198	131	4	the	the	DET
ejpam-6198	131	5	transcendental	transcendental	ADJ
ejpam-6198	131	6	equation	equation	NOUN
ejpam-6198	131	7	di(π1	di(π1	PROPN
ejpam-6198	131	8	,	,	PUNCT
ejpam-6198	131	9	ρ	ρ	PROPN
ejpam-6198	131	10	)	)	PUNCT
ejpam-6198	131	11	,	,	PUNCT
ejpam-6198	131	12	i	i	PRON
ejpam-6198	131	13	=	=	NOUN
ejpam-6198	131	14	1	1	NUM
ejpam-6198	131	15	,	,	PUNCT
ejpam-6198	131	16	2	2	NUM
ejpam-6198	131	17	has	have	AUX
ejpam-6198	131	18	ρn	ρn	VERB
ejpam-6198	131	19	and	and	CCONJ
ejpam-6198	131	20	ρm	ρm	ADP
ejpam-6198	131	21	positive	positive	ADJ
ejpam-6198	131	22	roots	root	NOUN
ejpam-6198	131	23	.	.	PUNCT
ejpam-6198	132	1	in	in	ADP
ejpam-6198	132	2	the	the	DET
ejpam-6198	132	3	above	above	ADJ
ejpam-6198	132	4	relations	relation	NOUN
ejpam-6198	132	5	,	,	PUNCT
ejpam-6198	132	6	bessel	bessel	NOUN
ejpam-6198	132	7	functions	function	NOUN
ejpam-6198	132	8	jp(.)and	jp(.)and	NOUN
ejpam-6198	132	9	yp	yp	X
ejpam-6198	132	10	(	(	PUNCT
ejpam-6198	132	11	.	.	PUNCT
ejpam-6198	132	12	)	)	PUNCT
ejpam-6198	132	13	are	be	AUX
ejpam-6198	132	14	the	the	DET
ejpam-6198	132	15	first	first	ADJ
ejpam-6198	132	16	and	and	CCONJ
ejpam-6198	132	17	second	second	ADJ
ejpam-6198	132	18	kind	kind	NOUN
ejpam-6198	132	19	of	of	ADP
ejpam-6198	132	20	order	order	NOUN
ejpam-6198	132	21	p	p	PRON
ejpam-6198	132	22	respectively	respectively	ADV
ejpam-6198	132	23	.	.	PUNCT
ejpam-6198	133	1	ρd1(ρ	ρd1(ρ	PROPN
ejpam-6198	133	2	,	,	PUNCT
ejpam-6198	133	3	ρn	ρn	PROPN
ejpam-6198	133	4	)	)	PUNCT
ejpam-6198	133	5	and	and	CCONJ
ejpam-6198	133	6	ρd0(ρ	ρd0(ρ	PROPN
ejpam-6198	133	7	,	,	PUNCT
ejpam-6198	133	8	ρm	ρm	NOUN
ejpam-6198	133	9	)	)	PUNCT
ejpam-6198	133	10	multiply	multiply	ADP
ejpam-6198	133	11	both	both	DET
ejpam-6198	133	12	sides	side	NOUN
ejpam-6198	133	13	to	to	ADP
ejpam-6198	133	14	eqs	eqs	PROPN
ejpam-6198	133	15	.	.	PUNCT
ejpam-6198	134	1	(	(	PUNCT
ejpam-6198	134	2	14	14	NUM
ejpam-6198	134	3	)	)	PUNCT
ejpam-6198	134	4	and	and	CCONJ
ejpam-6198	134	5	(	(	PUNCT
ejpam-6198	134	6	15	15	NUM
ejpam-6198	134	7	)	)	PUNCT
ejpam-6198	134	8	respectively	respectively	ADV
ejpam-6198	134	9	and	and	CCONJ
ejpam-6198	134	10	think	think	VERB
ejpam-6198	134	11	about	about	ADP
ejpam-6198	134	12	the	the	DET
ejpam-6198	134	13	conditions	condition	NOUN
ejpam-6198	134	14	of	of	ADP
ejpam-6198	134	15	eq.(16	eq.(16	NOUN
ejpam-6198	134	16	)	)	PUNCT
ejpam-6198	134	17	,	,	PUNCT
ejpam-6198	134	18	integrating	integrate	VERB
ejpam-6198	134	19	with	with	ADP
ejpam-6198	134	20	respect	respect	NOUN
ejpam-6198	134	21	to	to	ADP
ejpam-6198	134	22	ρ	ρ	NOUN
ejpam-6198	134	23	from	from	ADP
ejpam-6198	134	24	π1	π1	NOUN
ejpam-6198	134	25	to	to	ADP
ejpam-6198	134	26	π2	π2	ADJ
ejpam-6198	134	27	m.	m.	NOUN
ejpam-6198	134	28	zafarullah	zafarullah	PROPN
ejpam-6198	134	29	et	et	PROPN
ejpam-6198	134	30	al	al	PROPN
ejpam-6198	134	31	.	.	PUNCT
ejpam-6198	134	32	/	/	SYM
ejpam-6198	134	33	eur	eur	PROPN
ejpam-6198	134	34	.	.	PUNCT
ejpam-6198	135	1	j.	j.	PROPN
ejpam-6198	135	2	pure	pure	PROPN
ejpam-6198	135	3	appl	appl	PROPN
ejpam-6198	135	4	.	.	PROPN
ejpam-6198	135	5	math	math	PROPN
ejpam-6198	135	6	,	,	PUNCT
ejpam-6198	135	7	18	18	NUM
ejpam-6198	135	8	(	(	PUNCT
ejpam-6198	135	9	4	4	NUM
ejpam-6198	135	10	)	)	PUNCT
ejpam-6198	135	11	(	(	PUNCT
ejpam-6198	135	12	2025	2025	NUM
ejpam-6198	135	13	)	)	PUNCT
ejpam-6198	135	14	,	,	PUNCT
ejpam-6198	135	15	6198	6198	NUM
ejpam-6198	135	16	10	10	NUM
ejpam-6198	135	17	of	of	ADP
ejpam-6198	135	18	41	41	NUM
ejpam-6198	135	19	∫	∫	PROPN
ejpam-6198	135	20	π2	π2	PROPN
ejpam-6198	135	21	π1	π1	PROPN
ejpam-6198	135	22	ρ	ρ	PROPN
ejpam-6198	135	23	(	(	PUNCT
ejpam-6198	135	24	∂2	∂2	NUM
ejpam-6198	135	25	∂ρ2	∂ρ2	NOUN
ejpam-6198	135	26	+	+	CCONJ
ejpam-6198	136	1	1	1	NUM
ejpam-6198	136	2	ρ	ρ	NUM
ejpam-6198	136	3	∂	∂	NOUN
ejpam-6198	136	4	∂ρ	∂ρ	PROPN
ejpam-6198	136	5	−	−	PROPN
ejpam-6198	136	6	1	1	NUM
ejpam-6198	136	7	ρ2	ρ2	NOUN
ejpam-6198	136	8	)	)	PUNCT
ejpam-6198	136	9	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	136	10	,	,	PUNCT
ejpam-6198	136	11	s)d1(ρ	s)d1(ρ	PROPN
ejpam-6198	136	12	,	,	PUNCT
ejpam-6198	136	13	ρn)dρ	ρn)dρ	X
ejpam-6198	136	14	=	=	PUNCT
ejpam-6198	136	15	−ρ2nw̄h(ρn	−ρ2nw̄h(ρn	PROPN
ejpam-6198	136	16	,	,	PUNCT
ejpam-6198	136	17	s	s	NOUN
ejpam-6198	136	18	)	)	PUNCT
ejpam-6198	137	1	+	+	CCONJ
ejpam-6198	137	2	2	2	NUM
ejpam-6198	137	3	π	π	NOUN
ejpam-6198	137	4	[	[	PUNCT
ejpam-6198	137	5	w̄(π2)j1(π1ρn)−w̄(π1)j1(π2ρn	w̄(π2)j1(π1ρn)−w̄(π1)j1(π2ρn	PROPN
ejpam-6198	137	6	)	)	PUNCT
ejpam-6198	137	7	j1(π1ρn	j1(π1ρn	PROPN
ejpam-6198	137	8	)	)	PUNCT
ejpam-6198	137	9	]	]	PUNCT
ejpam-6198	137	10	,	,	PUNCT
ejpam-6198	137	11	(	(	PUNCT
ejpam-6198	137	12	22	22	NUM
ejpam-6198	137	13	)	)	PUNCT
ejpam-6198	137	14	∫	∫	PROPN
ejpam-6198	137	15	π2	π2	PROPN
ejpam-6198	137	16	π1	π1	PROPN
ejpam-6198	137	17	ρ	ρ	PROPN
ejpam-6198	137	18	(	(	PUNCT
ejpam-6198	137	19	∂2	∂2	NUM
ejpam-6198	137	20	∂ρ2	∂ρ2	NOUN
ejpam-6198	137	21	+	+	CCONJ
ejpam-6198	137	22	1	1	NUM
ejpam-6198	137	23	ρ	ρ	NUM
ejpam-6198	137	24	∂	∂	NUM
ejpam-6198	137	25	∂ρ	∂ρ	PROPN
ejpam-6198	137	26	)	)	PUNCT
ejpam-6198	137	27	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	137	28	,	,	PUNCT
ejpam-6198	137	29	s)d0(ρ	s)d0(ρ	PROPN
ejpam-6198	137	30	,	,	PUNCT
ejpam-6198	137	31	ρm)dρ	ρm)dρ	X
ejpam-6198	137	32	=	=	SYM
ejpam-6198	137	33	−ρ2mw̄h(ρm	−ρ2mw̄h(ρm	NOUN
ejpam-6198	137	34	,	,	PUNCT
ejpam-6198	137	35	s	s	PART
ejpam-6198	137	36	)	)	PUNCT
ejpam-6198	137	37	+	+	CCONJ
ejpam-6198	137	38	2	2	NUM
ejpam-6198	137	39	π	π	NOUN
ejpam-6198	137	40	[	[	PUNCT
ejpam-6198	137	41	v̄(π2)j0(π1ρm)−v̄(π1)j0(π2ρm	v̄(π2)j0(π1ρm)−v̄(π1)j0(π2ρm	NOUN
ejpam-6198	137	42	)	)	PUNCT
ejpam-6198	137	43	j0(π1ρm	j0(π1ρm	NOUN
ejpam-6198	137	44	)	)	PUNCT
ejpam-6198	137	45	]	]	PUNCT
ejpam-6198	137	46	.	.	PUNCT
ejpam-6198	138	1	(	(	PUNCT
ejpam-6198	138	2	23	23	NUM
ejpam-6198	138	3	)	)	PUNCT
ejpam-6198	138	4	now	now	ADV
ejpam-6198	138	5	,	,	PUNCT
ejpam-6198	138	6	here	here	ADV
ejpam-6198	138	7	we	we	PRON
ejpam-6198	138	8	applying	apply	VERB
ejpam-6198	138	9	the	the	DET
ejpam-6198	138	10	finite	finite	ADJ
ejpam-6198	138	11	hankel	hankel	NOUN
ejpam-6198	138	12	transform	transform	NOUN
ejpam-6198	138	13	.	.	PUNCT
ejpam-6198	139	1	w̄h	w̄h	PROPN
ejpam-6198	139	2	=	=	SYM
ejpam-6198	139	3	2	2	NUM
ejpam-6198	139	4	π	π	X
ejpam-6198	139	5	[	[	PUNCT
ejpam-6198	139	6	u2g2(s)j1(π1ρn)−u1g1(s)j1(π2ρn	u2g2(s)j1(π1ρn)−u1g1(s)j1(π2ρn	PROPN
ejpam-6198	139	7	)	)	PUNCT
ejpam-6198	139	8	j1(π1ρn	j1(π1ρn	PROPN
ejpam-6198	139	9	)	)	PUNCT
ejpam-6198	139	10	]	]	PUNCT
ejpam-6198	140	1	ν+αβa0	ν+αβa0	PROPN
ejpam-6198	140	2	sβ	sβ	PROPN
ejpam-6198	140	3	sβ+a1	sβ+a1	PROPN
ejpam-6198	140	4	(	(	PUNCT
ejpam-6198	140	5	ν+αβa0	ν+αβa0	PROPN
ejpam-6198	140	6	sβ	sβ	PROPN
ejpam-6198	140	7	sβ+a1	sβ+a1	PROPN
ejpam-6198	140	8	)	)	PUNCT
ejpam-6198	141	1	ρ2n+gm+gp(ν+αβa0	ρ2n+gm+gp(ν+αβa0	PROPN
ejpam-6198	141	2	sβ	sβ	ADP
ejpam-6198	141	3	sβ+a1	sβ+a1	PROPN
ejpam-6198	141	4	)	)	PUNCT
ejpam-6198	142	1	+	+	NOUN
ejpam-6198	142	2	s	s	X
ejpam-6198	142	3	,	,	PUNCT
ejpam-6198	142	4	(	(	PUNCT
ejpam-6198	142	5	24	24	NUM
ejpam-6198	142	6	)	)	PUNCT
ejpam-6198	142	7	v̄h	v̄h	NOUN
ejpam-6198	142	8	=	=	SYM
ejpam-6198	142	9	2	2	NUM
ejpam-6198	142	10	π	π	PROPN
ejpam-6198	142	11	[	[	PUNCT
ejpam-6198	142	12	v2g4(s)j0(π1ρm)−v1g3(s)j0(π2ρm	v2g4(s)j0(π1ρm)−v1g3(s)j0(π2ρm	NOUN
ejpam-6198	142	13	)	)	PUNCT
ejpam-6198	142	14	j0(π1ρm	j0(π1ρm	NOUN
ejpam-6198	142	15	)	)	PUNCT
ejpam-6198	142	16	]	]	PUNCT
ejpam-6198	143	1	ν+αβa0	ν+αβa0	PROPN
ejpam-6198	143	2	sβ	sβ	PROPN
ejpam-6198	143	3	sβ+a1	sβ+a1	PROPN
ejpam-6198	143	4	(	(	PUNCT
ejpam-6198	143	5	ν+αβa0	ν+αβa0	PROPN
ejpam-6198	143	6	sβ	sβ	PROPN
ejpam-6198	143	7	sβ+a1	sβ+a1	PROPN
ejpam-6198	143	8	)	)	PUNCT
ejpam-6198	143	9	ρ2m+gm+gp(ν+αβa0	ρ2m+gm+gp(ν+αβa0	PROPN
ejpam-6198	143	10	sβ	sβ	NUM
ejpam-6198	143	11	sβ+a1	sβ+a1	PROPN
ejpam-6198	143	12	)	)	PUNCT
ejpam-6198	144	1	+	+	NOUN
ejpam-6198	144	2	s	s	X
ejpam-6198	144	3	.	.	PUNCT
ejpam-6198	145	1	(	(	PUNCT
ejpam-6198	145	2	25	25	NUM
ejpam-6198	145	3	)	)	PUNCT
ejpam-6198	145	4	for	for	ADP
ejpam-6198	145	5	working	work	VERB
ejpam-6198	145	6	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	145	7	,	,	PUNCT
ejpam-6198	145	8	s	s	NOUN
ejpam-6198	145	9	)	)	PUNCT
ejpam-6198	145	10	and	and	CCONJ
ejpam-6198	145	11	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	145	12	,	,	PUNCT
ejpam-6198	145	13	s	s	X
ejpam-6198	145	14	)	)	PUNCT
ejpam-6198	145	15	employ	employ	VERB
ejpam-6198	145	16	the	the	DET
ejpam-6198	145	17	inverse	inverse	NOUN
ejpam-6198	145	18	hankel	hankel	NOUN
ejpam-6198	145	19	transform.hower	transform.hower	PROPN
ejpam-6198	145	20	ever	ever	ADV
ejpam-6198	145	21	,	,	PUNCT
ejpam-6198	145	22	present	present	VERB
ejpam-6198	145	23	a	a	DET
ejpam-6198	145	24	result	result	NOUN
ejpam-6198	145	25	in	in	ADP
ejpam-6198	145	26	more	more	ADV
ejpam-6198	145	27	suitable	suitable	ADJ
ejpam-6198	145	28	form	form	NOUN
ejpam-6198	145	29	,	,	PUNCT
ejpam-6198	145	30	we	we	PRON
ejpam-6198	145	31	firstly	firstly	ADV
ejpam-6198	145	32	rewrite	rewrite	VERB
ejpam-6198	145	33	the	the	DET
ejpam-6198	145	34	eqs	eqs	PROPN
ejpam-6198	145	35	.	.	PUNCT
ejpam-6198	146	1	(	(	PUNCT
ejpam-6198	146	2	24	24	NUM
ejpam-6198	146	3	)	)	PUNCT
ejpam-6198	146	4	and	and	CCONJ
ejpam-6198	146	5	(	(	PUNCT
ejpam-6198	146	6	25	25	NUM
ejpam-6198	146	7	)	)	PUNCT
ejpam-6198	146	8	in	in	ADP
ejpam-6198	146	9	the	the	DET
ejpam-6198	146	10	following	follow	VERB
ejpam-6198	146	11	equivalent	equivalent	ADJ
ejpam-6198	146	12	form	form	NOUN
ejpam-6198	146	13	as	as	SCONJ
ejpam-6198	146	14	follows	follow	VERB
ejpam-6198	146	15	.	.	PUNCT
ejpam-6198	147	1	wh	wh	VERB
ejpam-6198	147	2	=	=	SYM
ejpam-6198	147	3	2	2	NUM
ejpam-6198	147	4	π	π	PROPN
ejpam-6198	147	5	1	1	NUM
ejpam-6198	147	6	ρ2n	ρ2n	PROPN
ejpam-6198	147	7	(	(	PUNCT
ejpam-6198	147	8	1−	1−	NUM
ejpam-6198	147	9	ξn	ξn	NOUN
ejpam-6198	147	10	)	)	PUNCT
ejpam-6198	147	11	[	[	PUNCT
ejpam-6198	147	12	u2g2(s)j1(π1ρn)−	u2g2(s)j1(π1ρn)−	PROPN
ejpam-6198	147	13	u1g1(s)j1(π2ρn	u1g1(s)j1(π2ρn	PROPN
ejpam-6198	147	14	)	)	PUNCT
ejpam-6198	147	15	j1(π1ρn	j1(π1ρn	PROPN
ejpam-6198	147	16	)	)	PUNCT
ejpam-6198	147	17	]	]	PUNCT
ejpam-6198	148	1	(	(	PUNCT
ejpam-6198	148	2	26	26	NUM
ejpam-6198	148	3	)	)	PUNCT
ejpam-6198	148	4	vh	vh	NOUN
ejpam-6198	148	5	=	=	SYM
ejpam-6198	148	6	2	2	NUM
ejpam-6198	148	7	π	π	SYM
ejpam-6198	148	8	1	1	NUM
ejpam-6198	148	9	ρ2	ρ2	NOUN
ejpam-6198	148	10	m	m	VERB
ejpam-6198	148	11	(	(	PUNCT
ejpam-6198	148	12	1−	1−	NUM
ejpam-6198	148	13	ξm	ξm	NOUN
ejpam-6198	148	14	)	)	PUNCT
ejpam-6198	148	15	[	[	PUNCT
ejpam-6198	148	16	v2g4(s)j0(π1ρm)−	v2g4(s)j0(π1ρm)−	NOUN
ejpam-6198	148	17	v1g3(s)j0(π2ρm	v1g3(s)j0(π2ρm	NOUN
ejpam-6198	148	18	)	)	PUNCT
ejpam-6198	148	19	j0(π1ρm	j0(π1ρm	NOUN
ejpam-6198	148	20	)	)	PUNCT
ejpam-6198	148	21	]	]	PUNCT
ejpam-6198	148	22	,	,	PUNCT
ejpam-6198	148	23	(	(	PUNCT
ejpam-6198	148	24	27	27	NUM
ejpam-6198	148	25	)	)	PUNCT
ejpam-6198	148	26	m.	m.	NOUN
ejpam-6198	148	27	zafarullah	zafarullah	PROPN
ejpam-6198	148	28	et	et	PROPN
ejpam-6198	148	29	al	al	PROPN
ejpam-6198	148	30	.	.	PUNCT
ejpam-6198	148	31	/	/	SYM
ejpam-6198	148	32	eur	eur	PROPN
ejpam-6198	148	33	.	.	PUNCT
ejpam-6198	149	1	j.	j.	PROPN
ejpam-6198	149	2	pure	pure	PROPN
ejpam-6198	149	3	appl	appl	PROPN
ejpam-6198	149	4	.	.	PROPN
ejpam-6198	149	5	math	math	PROPN
ejpam-6198	149	6	,	,	PUNCT
ejpam-6198	149	7	18	18	NUM
ejpam-6198	149	8	(	(	PUNCT
ejpam-6198	149	9	4	4	NUM
ejpam-6198	149	10	)	)	PUNCT
ejpam-6198	149	11	(	(	PUNCT
ejpam-6198	149	12	2025	2025	NUM
ejpam-6198	149	13	)	)	PUNCT
ejpam-6198	149	14	,	,	PUNCT
ejpam-6198	149	15	6198	6198	NUM
ejpam-6198	149	16	11	11	NUM
ejpam-6198	149	17	of	of	ADP
ejpam-6198	149	18	41	41	NUM
ejpam-6198	149	19	where	where	SCONJ
ejpam-6198	149	20	,	,	PUNCT
ejpam-6198	149	21	ξn	ξn	PROPN
ejpam-6198	149	22	=	=	SYM
ejpam-6198	149	23	(	(	PUNCT
ejpam-6198	149	24	ν(sβ	ν(sβ	X
ejpam-6198	149	25	+	+	CCONJ
ejpam-6198	149	26	a1	a1	NOUN
ejpam-6198	149	27	)	)	PUNCT
ejpam-6198	149	28	+	+	NUM
ejpam-6198	149	29	αβa0s	αβa0s	PROPN
ejpam-6198	149	30	β)gp	β)gp	PROPN
ejpam-6198	150	1	+	+	CCONJ
ejpam-6198	150	2	(	(	PUNCT
ejpam-6198	150	3	sβ	sβ	NOUN
ejpam-6198	150	4	+	+	CCONJ
ejpam-6198	150	5	a1)(gm	a1)(gm	PROPN
ejpam-6198	150	6	+	+	SYM
ejpam-6198	150	7	s	s	NOUN
ejpam-6198	150	8	)	)	PUNCT
ejpam-6198	150	9	(	(	PUNCT
ejpam-6198	150	10	ν(sβ	ν(sβ	X
ejpam-6198	150	11	+	+	CCONJ
ejpam-6198	150	12	a1	a1	NOUN
ejpam-6198	150	13	)	)	PUNCT
ejpam-6198	150	14	+	+	CCONJ
ejpam-6198	150	15	αβa0sβ)(ρ2n	αβa0sβ)(ρ2n	X
ejpam-6198	151	1	+	+	ADJ
ejpam-6198	151	2	gp	gp	NOUN
ejpam-6198	151	3	)	)	PUNCT
ejpam-6198	152	1	+	+	CCONJ
ejpam-6198	152	2	(	(	PUNCT
ejpam-6198	152	3	sβ	sβ	NUM
ejpam-6198	152	4	+	+	CCONJ
ejpam-6198	152	5	a1)(gm	a1)(gm	PROPN
ejpam-6198	152	6	+	+	SYM
ejpam-6198	152	7	s	s	NOUN
ejpam-6198	152	8	)	)	PUNCT
ejpam-6198	152	9	,	,	PUNCT
ejpam-6198	152	10	and	and	CCONJ
ejpam-6198	152	11	ξm	ξm	X
ejpam-6198	152	12	=	=	SYM
ejpam-6198	152	13	(	(	PUNCT
ejpam-6198	152	14	ν(sβ	ν(sβ	X
ejpam-6198	152	15	+	+	CCONJ
ejpam-6198	152	16	a1	a1	NOUN
ejpam-6198	152	17	)	)	PUNCT
ejpam-6198	153	1	+	+	NUM
ejpam-6198	153	2	αβa0s	αβa0s	PROPN
ejpam-6198	153	3	β)gp	β)gp	PROPN
ejpam-6198	153	4	+	+	CCONJ
ejpam-6198	153	5	(	(	PUNCT
ejpam-6198	153	6	sβ	sβ	NOUN
ejpam-6198	153	7	+	+	CCONJ
ejpam-6198	153	8	a1)(gm	a1)(gm	PROPN
ejpam-6198	153	9	+	+	SYM
ejpam-6198	153	10	s	s	NOUN
ejpam-6198	153	11	)	)	PUNCT
ejpam-6198	153	12	(	(	PUNCT
ejpam-6198	153	13	ν(sβ	ν(sβ	X
ejpam-6198	153	14	+	+	CCONJ
ejpam-6198	153	15	a1	a1	NOUN
ejpam-6198	153	16	)	)	PUNCT
ejpam-6198	153	17	+	+	PUNCT
ejpam-6198	153	18	αβa0sβ)(ρ2	αβa0sβ)(ρ2	NUM
ejpam-6198	153	19	m	m	VERB
ejpam-6198	153	20	+	+	NOUN
ejpam-6198	153	21	gp	gp	NOUN
ejpam-6198	153	22	)	)	PUNCT
ejpam-6198	153	23	+	+	CCONJ
ejpam-6198	153	24	(	(	PUNCT
ejpam-6198	153	25	sβ	sβ	NUM
ejpam-6198	153	26	+	+	CCONJ
ejpam-6198	153	27	a1)(gm	a1)(gm	PROPN
ejpam-6198	153	28	+	+	SYM
ejpam-6198	153	29	s	s	NOUN
ejpam-6198	153	30	)	)	PUNCT
ejpam-6198	153	31	,	,	PUNCT
ejpam-6198	153	32	and	and	CCONJ
ejpam-6198	153	33	apply	apply	VERB
ejpam-6198	153	34	the	the	DET
ejpam-6198	153	35	inverse	inverse	NOUN
ejpam-6198	153	36	hankel	hankel	NOUN
ejpam-6198	153	37	transform	transform	VERB
ejpam-6198	153	38	formula	formula	NOUN
ejpam-6198	153	39	w(ρ	w(ρ	PROPN
ejpam-6198	153	40	,	,	PUNCT
ejpam-6198	153	41	s	s	NOUN
ejpam-6198	153	42	)	)	PUNCT
ejpam-6198	153	43	=	=	VERB
ejpam-6198	154	1	π2	π2	NOUN
ejpam-6198	154	2	2	2	NUM
ejpam-6198	154	3	∞∑	∞∑	NUM
ejpam-6198	154	4	n=1	n=1	PUNCT
ejpam-6198	154	5	ρ2nj	ρ2nj	PUNCT
ejpam-6198	154	6	2	2	NUM
ejpam-6198	154	7	1	1	NUM
ejpam-6198	154	8	(	(	PUNCT
ejpam-6198	154	9	π1ρn)d1(ρ	π1ρn)d1(ρ	PROPN
ejpam-6198	154	10	,	,	PUNCT
ejpam-6198	154	11	ρn	ρn	PROPN
ejpam-6198	154	12	)	)	PUNCT
ejpam-6198	154	13	j2	j2	NOUN
ejpam-6198	154	14	1	1	NUM
ejpam-6198	154	15	(	(	PUNCT
ejpam-6198	154	16	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	154	17	j2	j2	PROPN
ejpam-6198	154	18	1	1	NUM
ejpam-6198	154	19	(	(	PUNCT
ejpam-6198	154	20	π2ρn	π2ρn	PROPN
ejpam-6198	154	21	)	)	PUNCT
ejpam-6198	154	22	wh(ρ	wh(ρ	X
ejpam-6198	154	23	,	,	PUNCT
ejpam-6198	154	24	s	s	PART
ejpam-6198	154	25	)	)	PUNCT
ejpam-6198	154	26	,	,	PUNCT
ejpam-6198	154	27	(	(	PUNCT
ejpam-6198	154	28	28	28	NUM
ejpam-6198	154	29	)	)	PUNCT
ejpam-6198	154	30	v(ρ	v(ρ	NOUN
ejpam-6198	154	31	,	,	PUNCT
ejpam-6198	154	32	s	s	PART
ejpam-6198	154	33	)	)	PUNCT
ejpam-6198	154	34	=	=	VERB
ejpam-6198	155	1	π2	π2	NOUN
ejpam-6198	155	2	2	2	NUM
ejpam-6198	155	3	∞∑	∞∑	PROPN
ejpam-6198	155	4	m=1	m=1	PUNCT
ejpam-6198	155	5	ρ2nj	ρ2nj	SYM
ejpam-6198	155	6	2	2	NUM
ejpam-6198	155	7	0	0	NUM
ejpam-6198	155	8	(	(	PUNCT
ejpam-6198	155	9	π1ρm)d0(ρ	π1ρm)d0(ρ	PROPN
ejpam-6198	155	10	,	,	PUNCT
ejpam-6198	155	11	ρm	ρm	PROPN
ejpam-6198	155	12	)	)	PUNCT
ejpam-6198	155	13	j2	j2	NOUN
ejpam-6198	155	14	0	0	NUM
ejpam-6198	156	1	(	(	PUNCT
ejpam-6198	156	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	156	3	j2	j2	NOUN
ejpam-6198	156	4	0	0	NUM
ejpam-6198	156	5	(	(	PUNCT
ejpam-6198	156	6	π2ρm	π2ρm	NOUN
ejpam-6198	156	7	)	)	PUNCT
ejpam-6198	156	8	vh(ρ	vh(ρ	NUM
ejpam-6198	156	9	,	,	PUNCT
ejpam-6198	156	10	s	s	PART
ejpam-6198	156	11	)	)	PUNCT
ejpam-6198	156	12	,	,	PUNCT
ejpam-6198	156	13	(	(	PUNCT
ejpam-6198	156	14	29	29	NUM
ejpam-6198	156	15	)	)	PUNCT
ejpam-6198	156	16	we	we	PRON
ejpam-6198	156	17	get	get	VERB
ejpam-6198	156	18	w(ρ	w(ρ	PROPN
ejpam-6198	156	19	,	,	PUNCT
ejpam-6198	156	20	s	s	NOUN
ejpam-6198	156	21	)	)	PUNCT
ejpam-6198	156	22	and	and	CCONJ
ejpam-6198	156	23	v(ρ	v(ρ	PROPN
ejpam-6198	156	24	,	,	PUNCT
ejpam-6198	156	25	s	s	PART
ejpam-6198	156	26	)	)	PUNCT
ejpam-6198	156	27	in	in	ADP
ejpam-6198	156	28	the	the	DET
ejpam-6198	156	29	following	follow	VERB
ejpam-6198	156	30	equivalent	equivalent	ADJ
ejpam-6198	156	31	form	form	NOUN
ejpam-6198	156	32	.	.	PUNCT
ejpam-6198	157	1	w(ρ	w(ρ	PROPN
ejpam-6198	157	2	,	,	PUNCT
ejpam-6198	157	3	s	s	NOUN
ejpam-6198	157	4	)	)	PUNCT
ejpam-6198	157	5	=	=	SYM
ejpam-6198	157	6	u1g1(s)π1(π	u1g1(s)π1(π	ADJ
ejpam-6198	157	7	2	2	NUM
ejpam-6198	157	8	2	2	NUM
ejpam-6198	157	9	−	−	NOUN
ejpam-6198	157	10	ρ2	ρ2	NOUN
ejpam-6198	157	11	)	)	PUNCT
ejpam-6198	158	1	+	+	NUM
ejpam-6198	158	2	u2g2(s)π2(ρ	u2g2(s)π2(ρ	NOUN
ejpam-6198	158	3	2	2	NUM
ejpam-6198	158	4	−π2	−π2	NOUN
ejpam-6198	158	5	1	1	NUM
ejpam-6198	158	6	)	)	PUNCT
ejpam-6198	158	7	(	(	PUNCT
ejpam-6198	158	8	π2	π2	ADP
ejpam-6198	158	9	2	2	NUM
ejpam-6198	158	10	−π2	−π2	NOUN
ejpam-6198	158	11	1)ρ	1)ρ	NOUN
ejpam-6198	158	12	−π	−π	PRON
ejpam-6198	158	13	∞∑	∞∑	PROPN
ejpam-6198	158	14	n=1	n=1	PROPN
ejpam-6198	158	15	(	(	PUNCT
ejpam-6198	158	16	1−ξn	1−ξn	NUM
ejpam-6198	158	17	)	)	PUNCT
ejpam-6198	158	18	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	158	19	,	,	PUNCT
ejpam-6198	158	20	ρn	ρn	PROPN
ejpam-6198	158	21	)	)	PUNCT
ejpam-6198	158	22	j2	j2	NOUN
ejpam-6198	158	23	1	1	NUM
ejpam-6198	158	24	(	(	PUNCT
ejpam-6198	158	25	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	158	26	j2	j2	PROPN
ejpam-6198	158	27	1	1	NUM
ejpam-6198	158	28	(	(	PUNCT
ejpam-6198	158	29	π2ρn	π2ρn	PROPN
ejpam-6198	158	30	)	)	PUNCT
ejpam-6198	158	31	×	×	NOUN
ejpam-6198	158	32	[	[	PUNCT
ejpam-6198	158	33	u2g2(s)j1(π1ρn)−	u2g2(s)j1(π1ρn)−	PROPN
ejpam-6198	158	34	u1g1(s)j1(π2ρn	u1g1(s)j1(π2ρn	PROPN
ejpam-6198	158	35	)	)	PUNCT
ejpam-6198	158	36	]	]	PUNCT
ejpam-6198	158	37	(	(	PUNCT
ejpam-6198	158	38	30	30	NUM
ejpam-6198	158	39	)	)	PUNCT
ejpam-6198	158	40	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	158	41	,	,	PUNCT
ejpam-6198	158	42	s	s	X
ejpam-6198	158	43	)	)	PUNCT
ejpam-6198	158	44	=	=	SYM
ejpam-6198	158	45	v1g3(s	v1g3(s	NOUN
ejpam-6198	158	46	)	)	PUNCT
ejpam-6198	158	47	ln(π2	ln(π2	NOUN
ejpam-6198	158	48	/	/	SYM
ejpam-6198	158	49	ρ	ρ	NOUN
ejpam-6198	158	50	)	)	PUNCT
ejpam-6198	158	51	+	+	CCONJ
ejpam-6198	158	52	v2g4(s	v2g4(	NOUN
ejpam-6198	158	53	)	)	PUNCT
ejpam-6198	158	54	ln(ρ	ln(ρ	CCONJ
ejpam-6198	158	55	/	/	SYM
ejpam-6198	158	56	π1	π1	NOUN
ejpam-6198	158	57	)	)	PUNCT
ejpam-6198	158	58	ln(π2	ln(π2	NOUN
ejpam-6198	158	59	/	/	SYM
ejpam-6198	158	60	π1	π1	NOUN
ejpam-6198	158	61	)	)	PUNCT
ejpam-6198	158	62	−	−	PROPN
ejpam-6198	159	1	π	π	PROPN
ejpam-6198	159	2	∞∑	∞∑	NUM
ejpam-6198	159	3	m=1	m=1	X
ejpam-6198	159	4	(	(	PUNCT
ejpam-6198	159	5	1−	1−	NUM
ejpam-6198	159	6	ξm	ξm	NOUN
ejpam-6198	159	7	)	)	PUNCT
ejpam-6198	159	8	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	159	9	,	,	PUNCT
ejpam-6198	159	10	ρm	ρm	PROPN
ejpam-6198	159	11	)	)	PUNCT
ejpam-6198	159	12	j2	j2	NOUN
ejpam-6198	159	13	0	0	NUM
ejpam-6198	160	1	(	(	PUNCT
ejpam-6198	160	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	160	3	j2	j2	NOUN
ejpam-6198	160	4	0	0	NUM
ejpam-6198	160	5	(	(	PUNCT
ejpam-6198	160	6	π2ρm	π2ρm	X
ejpam-6198	160	7	)	)	PUNCT
ejpam-6198	160	8	×	×	NOUN
ejpam-6198	160	9	[	[	PUNCT
ejpam-6198	160	10	v2g4(s)j0(π1ρm)−	v2g4(s)j0(π1ρm)−	NOUN
ejpam-6198	160	11	v1g3(s)j0(π2ρm	v1g3(s)j0(π2ρm	NOUN
ejpam-6198	160	12	)	)	PUNCT
ejpam-6198	160	13	]	]	PUNCT
ejpam-6198	161	1	(	(	PUNCT
ejpam-6198	161	2	31	31	NUM
ejpam-6198	161	3	)	)	PUNCT
ejpam-6198	161	4	m.	m.	NOUN
ejpam-6198	161	5	zafarullah	zafarullah	PROPN
ejpam-6198	161	6	et	et	PROPN
ejpam-6198	161	7	al	al	PROPN
ejpam-6198	161	8	.	.	PUNCT
ejpam-6198	161	9	/	/	SYM
ejpam-6198	161	10	eur	eur	PROPN
ejpam-6198	161	11	.	.	PUNCT
ejpam-6198	162	1	j.	j.	PROPN
ejpam-6198	162	2	pure	pure	PROPN
ejpam-6198	162	3	appl	appl	PROPN
ejpam-6198	162	4	.	.	PROPN
ejpam-6198	162	5	math	math	PROPN
ejpam-6198	162	6	,	,	PUNCT
ejpam-6198	162	7	18	18	NUM
ejpam-6198	162	8	(	(	PUNCT
ejpam-6198	162	9	4	4	NUM
ejpam-6198	162	10	)	)	PUNCT
ejpam-6198	162	11	(	(	PUNCT
ejpam-6198	162	12	2025	2025	NUM
ejpam-6198	162	13	)	)	PUNCT
ejpam-6198	162	14	,	,	PUNCT
ejpam-6198	162	15	6198	6198	NUM
ejpam-6198	162	16	12	12	NUM
ejpam-6198	162	17	of	of	ADP
ejpam-6198	162	18	41	41	NUM
ejpam-6198	162	19	the	the	DET
ejpam-6198	162	20	equivalent	equivalent	ADJ
ejpam-6198	162	21	forms	form	NOUN
ejpam-6198	162	22	of	of	ADP
ejpam-6198	162	23	the	the	DET
ejpam-6198	162	24	factor	factor	NOUN
ejpam-6198	162	25	of	of	ADP
ejpam-6198	162	26	eqs	eqs	PROPN
ejpam-6198	162	27	.	.	PUNCT
ejpam-6198	163	1	(	(	PUNCT
ejpam-6198	163	2	30	30	NUM
ejpam-6198	163	3	)	)	PUNCT
ejpam-6198	163	4	and	and	CCONJ
ejpam-6198	163	5	(	(	PUNCT
ejpam-6198	163	6	31	31	NUM
ejpam-6198	163	7	)	)	PUNCT
ejpam-6198	163	8	are	be	AUX
ejpam-6198	163	9	(	(	PUNCT
ejpam-6198	163	10	1−	1−	NUM
ejpam-6198	163	11	ξn	ξn	NOUN
ejpam-6198	163	12	)	)	PUNCT
ejpam-6198	163	13	=	=	PUNCT
ejpam-6198	164	1	∞∑	∞∑	NUM
ejpam-6198	164	2	i=0	i=0	PROPN
ejpam-6198	164	3	(	(	PUNCT
ejpam-6198	164	4	−ρ2n	−ρ2n	NUM
ejpam-6198	164	5	)	)	PUNCT
ejpam-6198	164	6	i	i	PRON
ejpam-6198	164	7	[	[	PUNCT
ejpam-6198	164	8	ν(sβ	ν(sβ	X
ejpam-6198	164	9	+	+	CCONJ
ejpam-6198	164	10	a1	a1	NOUN
ejpam-6198	164	11	)	)	PUNCT
ejpam-6198	164	12	+	+	CCONJ
ejpam-6198	164	13	αβa0s	αβa0s	PROPN
ejpam-6198	164	14	β	β	X
ejpam-6198	164	15	(	(	PUNCT
ejpam-6198	164	16	ν(sβ	ν(sβ	X
ejpam-6198	164	17	+	+	CCONJ
ejpam-6198	164	18	a1	a1	NOUN
ejpam-6198	164	19	)	)	PUNCT
ejpam-6198	164	20	+	+	NOUN
ejpam-6198	165	1	αβa0sβ)gp	αβa0sβ)gp	NUM
ejpam-6198	165	2	+	+	CCONJ
ejpam-6198	165	3	(	(	PUNCT
ejpam-6198	165	4	sβ	sβ	NUM
ejpam-6198	165	5	+	+	CCONJ
ejpam-6198	165	6	a1)(gm	a1)(gm	PROPN
ejpam-6198	165	7	+	+	SYM
ejpam-6198	165	8	s	s	NOUN
ejpam-6198	165	9	)	)	PUNCT
ejpam-6198	166	1	]	]	PUNCT
ejpam-6198	166	2	i	i	PRON
ejpam-6198	166	3	,	,	PUNCT
ejpam-6198	166	4	=	=	PUNCT
ejpam-6198	166	5	∞∑	∞∑	NUM
ejpam-6198	166	6	i=0	i=0	PROPN
ejpam-6198	166	7	(	(	PUNCT
ejpam-6198	166	8	−ρ2n	−ρ2n	NUM
ejpam-6198	166	9	)	)	PUNCT
ejpam-6198	167	1	i	i	PRON
ejpam-6198	167	2	(	(	PUNCT
ejpam-6198	167	3	νsβgp	νsβgp	NOUN
ejpam-6198	167	4	+	+	X
ejpam-6198	167	5	αβa0sβgp	αβa0sβgp	NUM
ejpam-6198	167	6	+	+	NOUN
ejpam-6198	167	7	gmsβ	gmsβ	NOUN
ejpam-6198	167	8	+	+	NUM
ejpam-6198	167	9	sβ+1)i	sβ+1)i	PROPN
ejpam-6198	167	10	i∑	i∑	ADJ
ejpam-6198	167	11	j=0	j=0	PROPN
ejpam-6198	167	12	i	i	PRON
ejpam-6198	167	13	!	!	PUNCT
ejpam-6198	167	14	j!(i−	j!(i−	PROPN
ejpam-6198	167	15	j	j	NOUN
ejpam-6198	167	16	)	)	PUNCT
ejpam-6198	167	17	!	!	PUNCT
ejpam-6198	168	1	νi−j(αβa0s	νi−j(αβa0s	PROPN
ejpam-6198	168	2	β)j	β)j	X
ejpam-6198	168	3	×	×	VERB
ejpam-6198	168	4	∞∑	∞∑	PROPN
ejpam-6198	168	5	k=0	k=0	PROPN
ejpam-6198	168	6	(	(	PUNCT
ejpam-6198	168	7	i−	i−	PROPN
ejpam-6198	168	8	j	j	PROPN
ejpam-6198	168	9	)	)	PUNCT
ejpam-6198	168	10	!	!	PUNCT
ejpam-6198	169	1	k!(i−	k!(i−	PROPN
ejpam-6198	170	1	j	j	PROPN
ejpam-6198	170	2	−	−	PROPN
ejpam-6198	170	3	k	k	PROPN
ejpam-6198	170	4	)	)	PUNCT
ejpam-6198	170	5	!	!	PUNCT
ejpam-6198	171	1	ak1s	ak1s	PROPN
ejpam-6198	171	2	β(i−j−k	β(i−j−k	PROPN
ejpam-6198	171	3	)	)	PUNCT
ejpam-6198	171	4	[	[	PUNCT
ejpam-6198	171	5	1	1	NUM
ejpam-6198	171	6	+	+	CCONJ
ejpam-6198	171	7	νa1gp	νa1gp	NOUN
ejpam-6198	171	8	+	+	CCONJ
ejpam-6198	171	9	a1gm	a1gm	ADJ
ejpam-6198	171	10	+	+	CCONJ
ejpam-6198	171	11	a1s	a1s	ADJ
ejpam-6198	171	12	νsβgp	νsβgp	NOUN
ejpam-6198	171	13	+	+	CCONJ
ejpam-6198	171	14	αβa0sβgp	αβa0sβgp	NUM
ejpam-6198	171	15	+	+	NOUN
ejpam-6198	171	16	gmsβ	gmsβ	NOUN
ejpam-6198	171	17	+	+	CCONJ
ejpam-6198	171	18	sβ+1	sβ+1	ADJ
ejpam-6198	171	19	]	]	X
ejpam-6198	171	20	−i	−i	NOUN
ejpam-6198	171	21	,	,	PUNCT
ejpam-6198	171	22	=	=	PUNCT
ejpam-6198	171	23	∞∑	∞∑	NUM
ejpam-6198	171	24	i=0	i=0	PROPN
ejpam-6198	171	25	(	(	PUNCT
ejpam-6198	171	26	−ρ2n	−ρ2n	NUM
ejpam-6198	171	27	)	)	PUNCT
ejpam-6198	171	28	i	i	PRON
ejpam-6198	171	29	i∑	i∑	NUM
ejpam-6198	171	30	j=0	j=0	PROPN
ejpam-6198	171	31	i	i	PRON
ejpam-6198	171	32	!	!	PUNCT
ejpam-6198	171	33	j!(i−	j!(i−	PROPN
ejpam-6198	172	1	j	j	NOUN
ejpam-6198	172	2	)	)	PUNCT
ejpam-6198	172	3	!	!	PUNCT
ejpam-6198	173	1	νi−j(αβa0s	νi−j(αβa0s	PROPN
ejpam-6198	173	2	β)j	β)j	AUX
ejpam-6198	174	1	∞∑	∞∑	PRON
ejpam-6198	174	2	k=0	k=0	PROPN
ejpam-6198	174	3	(	(	PUNCT
ejpam-6198	174	4	i−	i−	PROPN
ejpam-6198	174	5	j	j	PROPN
ejpam-6198	174	6	)	)	PUNCT
ejpam-6198	174	7	!	!	PUNCT
ejpam-6198	174	8	k!(i−	k!(i−	PROPN
ejpam-6198	175	1	j	j	PROPN
ejpam-6198	175	2	−	−	PROPN
ejpam-6198	175	3	k	k	PROPN
ejpam-6198	175	4	)	)	PUNCT
ejpam-6198	175	5	!	!	PUNCT
ejpam-6198	176	1	ak1s	ak1s	PROPN
ejpam-6198	176	2	β(i−j−k	β(i−j−k	PROPN
ejpam-6198	176	3	)	)	PUNCT
ejpam-6198	176	4	∞∑	∞∑	NUM
ejpam-6198	176	5	l=0	l=0	PROPN
ejpam-6198	176	6	(	(	PUNCT
ejpam-6198	176	7	−1)l	−1)l	NOUN
ejpam-6198	176	8	×	×	NOUN
ejpam-6198	176	9	(	(	PUNCT
ejpam-6198	176	10	νa1gp	νa1gp	NOUN
ejpam-6198	176	11	+	+	CCONJ
ejpam-6198	176	12	a1gm	a1gm	ADJ
ejpam-6198	176	13	+	+	CCONJ
ejpam-6198	176	14	a1s	a1s	ADJ
ejpam-6198	176	15	)	)	PUNCT
ejpam-6198	176	16	l	l	NOUN
ejpam-6198	176	17	(	(	PUNCT
ejpam-6198	176	18	νsβgp	νsβgp	NOUN
ejpam-6198	176	19	+	+	X
ejpam-6198	176	20	αβa0sβgp	αβa0sβgp	NUM
ejpam-6198	176	21	+	+	NOUN
ejpam-6198	176	22	gmsβ	gmsβ	NOUN
ejpam-6198	176	23	+	+	CCONJ
ejpam-6198	176	24	sβ+1)l+i	sβ+1)l+i	NOUN
ejpam-6198	176	25	,	,	PUNCT
ejpam-6198	176	26	=	=	SYM
ejpam-6198	176	27	∞∑	∞∑	NUM
ejpam-6198	176	28	i=0	i=0	PROPN
ejpam-6198	176	29	(	(	PUNCT
ejpam-6198	176	30	−ρ2n	−ρ2n	NUM
ejpam-6198	176	31	)	)	PUNCT
ejpam-6198	176	32	i	i	PRON
ejpam-6198	176	33	i∑	i∑	NUM
ejpam-6198	176	34	j=0	j=0	PROPN
ejpam-6198	176	35	i	i	PRON
ejpam-6198	176	36	!	!	PUNCT
ejpam-6198	176	37	j!(i−	j!(i−	PROPN
ejpam-6198	177	1	j	j	NOUN
ejpam-6198	177	2	)	)	PUNCT
ejpam-6198	177	3	!	!	PUNCT
ejpam-6198	178	1	νi−j(αβa0	νi−j(αβa0	PROPN
ejpam-6198	178	2	)	)	PUNCT
ejpam-6198	178	3	jsβj	jsβj	NOUN
ejpam-6198	178	4	∞∑	∞∑	PROPN
ejpam-6198	178	5	k=0	k=0	PROPN
ejpam-6198	178	6	(	(	PUNCT
ejpam-6198	178	7	i−	i−	PROPN
ejpam-6198	178	8	j	j	PROPN
ejpam-6198	178	9	)	)	PUNCT
ejpam-6198	178	10	!	!	PUNCT
ejpam-6198	179	1	k!(i−	k!(i−	PROPN
ejpam-6198	180	1	j	j	PROPN
ejpam-6198	180	2	−	−	PROPN
ejpam-6198	180	3	k	k	PROPN
ejpam-6198	180	4	)	)	PUNCT
ejpam-6198	180	5	!	!	PUNCT
ejpam-6198	181	1	ak1s	ak1s	PROPN
ejpam-6198	181	2	β(i−j−k	β(i−j−k	PROPN
ejpam-6198	181	3	)	)	PUNCT
ejpam-6198	181	4	∞∑	∞∑	NUM
ejpam-6198	181	5	l=0	l=0	PROPN
ejpam-6198	181	6	(	(	PUNCT
ejpam-6198	181	7	−a1	−a1	PROPN
ejpam-6198	181	8	)	)	PUNCT
ejpam-6198	181	9	l	l	NOUN
ejpam-6198	181	10	×	×	NOUN
ejpam-6198	181	11	l∑	l∑	PUNCT
ejpam-6198	182	1	h=0	h=0	PROPN
ejpam-6198	182	2	l	l	NOUN
ejpam-6198	182	3	!	!	NOUN
ejpam-6198	182	4	l!(l	l!(l	ADJ
ejpam-6198	182	5	−	−	PROPN
ejpam-6198	182	6	h	h	NOUN
ejpam-6198	182	7	)	)	PUNCT
ejpam-6198	182	8	!	!	PUNCT
ejpam-6198	183	1	(	(	PUNCT
ejpam-6198	183	2	νgp	νgp	NOUN
ejpam-6198	183	3	+	+	NOUN
ejpam-6198	183	4	gm)hsl−h	gm)hsl−h	PROPN
ejpam-6198	183	5	1	1	NUM
ejpam-6198	183	6	sβ(l+i)(s+	sβ(l+i)(s+	NOUN
ejpam-6198	183	7	νgp	νgp	NOUN
ejpam-6198	183	8	+	+	CCONJ
ejpam-6198	183	9	αβa0gp	αβa0gp	PROPN
ejpam-6198	183	10	+	+	PROPN
ejpam-6198	183	11	gm)l+i	gm)l+i	NOUN
ejpam-6198	183	12	,	,	PUNCT
ejpam-6198	183	13	=	=	PUNCT
ejpam-6198	183	14	∞∑	∞∑	NUM
ejpam-6198	183	15	i=0	i=0	PROPN
ejpam-6198	183	16	(	(	PUNCT
ejpam-6198	183	17	−νρ2n	−νρ2n	X
ejpam-6198	183	18	)	)	PUNCT
ejpam-6198	183	19	i	i	PRON
ejpam-6198	183	20	i∑	i∑	NUM
ejpam-6198	183	21	j=0	j=0	PROPN
ejpam-6198	183	22	i	i	PRON
ejpam-6198	183	23	!	!	PUNCT
ejpam-6198	183	24	j!(i−	j!(i−	PROPN
ejpam-6198	184	1	j	j	NOUN
ejpam-6198	184	2	)	)	PUNCT
ejpam-6198	184	3	!	!	PUNCT
ejpam-6198	185	1	(	(	PUNCT
ejpam-6198	185	2	αβa0	αβa0	PROPN
ejpam-6198	185	3	ν	ν	PROPN
ejpam-6198	185	4	)	)	PUNCT
ejpam-6198	185	5	j	j	PROPN
ejpam-6198	185	6	∞∑	∞∑	PROPN
ejpam-6198	185	7	k=0	k=0	PROPN
ejpam-6198	185	8	(	(	PUNCT
ejpam-6198	185	9	i−	i−	PROPN
ejpam-6198	185	10	j	j	PROPN
ejpam-6198	185	11	)	)	PUNCT
ejpam-6198	185	12	!	!	PUNCT
ejpam-6198	186	1	k!(i−	k!(i−	PROPN
ejpam-6198	187	1	j	j	PROPN
ejpam-6198	188	1	−	−	PROPN
ejpam-6198	188	2	k	k	PROPN
ejpam-6198	188	3	)	)	PUNCT
ejpam-6198	188	4	!	!	PUNCT
ejpam-6198	189	1	ak1	ak1	NOUN
ejpam-6198	189	2	∞∑	∞∑	NUM
ejpam-6198	189	3	l=0	l=0	PROPN
ejpam-6198	189	4	(	(	PUNCT
ejpam-6198	189	5	−a1	−a1	PROPN
ejpam-6198	189	6	)	)	PUNCT
ejpam-6198	189	7	l	l	NOUN
ejpam-6198	189	8	×	×	NOUN
ejpam-6198	189	9	l∑	l∑	PUNCT
ejpam-6198	190	1	h=0	h=0	PROPN
ejpam-6198	190	2	l	l	NOUN
ejpam-6198	190	3	!	!	NOUN
ejpam-6198	190	4	l!(l	l!(l	ADJ
ejpam-6198	190	5	−	−	PROPN
ejpam-6198	190	6	h	h	NOUN
ejpam-6198	190	7	)	)	PUNCT
ejpam-6198	190	8	!	!	PUNCT
ejpam-6198	191	1	(	(	PUNCT
ejpam-6198	191	2	νgp	νgp	NOUN
ejpam-6198	191	3	+	+	PROPN
ejpam-6198	191	4	gm)h	gm)h	PROPN
ejpam-6198	191	5	s−β(k+l)+l−h	s−β(k+l)+l−h	PROPN
ejpam-6198	191	6	(	(	PUNCT
ejpam-6198	191	7	s+	s+	NUM
ejpam-6198	191	8	νgp	νgp	PROPN
ejpam-6198	191	9	+	+	CCONJ
ejpam-6198	191	10	αβa0gp	αβa0gp	PROPN
ejpam-6198	191	11	+	+	PROPN
ejpam-6198	191	12	gm)l+i	gm)l+i	NOUN
ejpam-6198	191	13	.	.	PUNCT
ejpam-6198	192	1	(	(	PUNCT
ejpam-6198	192	2	32	32	NUM
ejpam-6198	192	3	)	)	PUNCT
ejpam-6198	192	4	m.	m.	NOUN
ejpam-6198	192	5	zafarullah	zafarullah	PROPN
ejpam-6198	192	6	et	et	PROPN
ejpam-6198	192	7	al	al	PROPN
ejpam-6198	192	8	.	.	PUNCT
ejpam-6198	192	9	/	/	SYM
ejpam-6198	192	10	eur	eur	PROPN
ejpam-6198	192	11	.	.	PUNCT
ejpam-6198	193	1	j.	j.	PROPN
ejpam-6198	193	2	pure	pure	PROPN
ejpam-6198	193	3	appl	appl	PROPN
ejpam-6198	193	4	.	.	PROPN
ejpam-6198	193	5	math	math	PROPN
ejpam-6198	193	6	,	,	PUNCT
ejpam-6198	193	7	18	18	NUM
ejpam-6198	193	8	(	(	PUNCT
ejpam-6198	193	9	4	4	NUM
ejpam-6198	193	10	)	)	PUNCT
ejpam-6198	193	11	(	(	PUNCT
ejpam-6198	193	12	2025	2025	NUM
ejpam-6198	193	13	)	)	PUNCT
ejpam-6198	193	14	,	,	PUNCT
ejpam-6198	193	15	6198	6198	NUM
ejpam-6198	193	16	13	13	NUM
ejpam-6198	193	17	of	of	ADP
ejpam-6198	193	18	41	41	NUM
ejpam-6198	193	19	for	for	ADP
ejpam-6198	193	20	the	the	DET
ejpam-6198	193	21	functions	function	NOUN
ejpam-6198	193	22	w(ρ	w(ρ	PROPN
ejpam-6198	193	23	,	,	PUNCT
ejpam-6198	193	24	s	s	NOUN
ejpam-6198	193	25	)	)	PUNCT
ejpam-6198	193	26	and	and	CCONJ
ejpam-6198	193	27	v(ρ	v(ρ	PROPN
ejpam-6198	193	28	,	,	PUNCT
ejpam-6198	193	29	s	s	PART
ejpam-6198	193	30	)	)	PUNCT
ejpam-6198	194	1	,	,	PUNCT
ejpam-6198	194	2	we	we	PRON
ejpam-6198	194	3	possess	possess	VERB
ejpam-6198	194	4	the	the	DET
ejpam-6198	194	5	inverse	inverse	ADJ
ejpam-6198	194	6	laplace	laplace	NOUN
ejpam-6198	194	7	transformation	transformation	NOUN
ejpam-6198	194	8	by	by	ADP
ejpam-6198	194	9	using	use	VERB
ejpam-6198	194	10	the	the	DET
ejpam-6198	194	11	following	follow	VERB
ejpam-6198	194	12	formula[41	formula[41	PROPN
ejpam-6198	194	13	]	]	PUNCT
ejpam-6198	194	14	.	.	PUNCT
ejpam-6198	195	1	l−1	l−1	PROPN
ejpam-6198	195	2	[	[	PUNCT
ejpam-6198	195	3	sc	sc	PROPN
ejpam-6198	195	4	(	(	PUNCT
ejpam-6198	195	5	sa	sa	PROPN
ejpam-6198	195	6	−	−	PROPN
ejpam-6198	195	7	κ)b	κ)b	ADJ
ejpam-6198	195	8	]	]	PUNCT
ejpam-6198	196	1	=	=	SYM
ejpam-6198	196	2	ma	ma	PROPN
ejpam-6198	196	3	,	,	PUNCT
ejpam-6198	196	4	b	b	PROPN
ejpam-6198	196	5	c	c	X
ejpam-6198	196	6	(	(	PUNCT
ejpam-6198	196	7	κ	κ	PROPN
ejpam-6198	196	8	,	,	PUNCT
ejpam-6198	196	9	t	t	PROPN
ejpam-6198	196	10	)	)	PUNCT
ejpam-6198	196	11	;	;	PUNCT
ejpam-6198	196	12	re	re	X
ejpam-6198	196	13	(	(	PUNCT
ejpam-6198	196	14	ac−	ac−	PROPN
ejpam-6198	196	15	b	b	NUM
ejpam-6198	196	16	)	)	PUNCT
ejpam-6198	196	17	>	>	X
ejpam-6198	196	18	0	0	NUM
ejpam-6198	196	19	,	,	PUNCT
ejpam-6198	196	20	re(s	re(s	ADJ
ejpam-6198	196	21	)	)	PUNCT
ejpam-6198	196	22	>	>	X
ejpam-6198	196	23	0	0	NUM
ejpam-6198	196	24	,	,	PUNCT
ejpam-6198	196	25	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6198	196	26	dsa	dsa	NOUN
ejpam-6198	196	27	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6198	196	28	<	<	X
ejpam-6198	196	29	1	1	NUM
ejpam-6198	196	30	,	,	PUNCT
ejpam-6198	196	31	(	(	PUNCT
ejpam-6198	196	32	33	33	NUM
ejpam-6198	196	33	)	)	PUNCT
ejpam-6198	196	34	where	where	SCONJ
ejpam-6198	196	35	the	the	DET
ejpam-6198	196	36	generalized	generalized	ADJ
ejpam-6198	196	37	ma	ma	PROPN
ejpam-6198	196	38	,	,	PUNCT
ejpam-6198	196	39	j	j	PROPN
ejpam-6198	196	40	c	c	PROPN
ejpam-6198	196	41	(	(	PUNCT
ejpam-6198	196	42	.	.	NUM
ejpam-6198	196	43	,	,	PUNCT
ejpam-6198	196	44	t	t	PROPN
ejpam-6198	196	45	)	)	PUNCT
ejpam-6198	196	46	function	function	NOUN
ejpam-6198	196	47	is	be	AUX
ejpam-6198	196	48	defined	define	VERB
ejpam-6198	196	49	by[41	by[41	ADP
ejpam-6198	196	50	]	]	X
ejpam-6198	196	51	ma	ma	PROPN
ejpam-6198	196	52	,	,	PUNCT
ejpam-6198	196	53	b	b	PROPN
ejpam-6198	196	54	c	c	X
ejpam-6198	196	55	(	(	PUNCT
ejpam-6198	196	56	κ	κ	PROPN
ejpam-6198	196	57	,	,	PUNCT
ejpam-6198	196	58	t	t	PROPN
ejpam-6198	196	59	)	)	PUNCT
ejpam-6198	196	60	=	=	PUNCT
ejpam-6198	197	1	∞∑	∞∑	NUM
ejpam-6198	197	2	j=0	j=0	PROPN
ejpam-6198	197	3	κjγ(c+	κjγ(c+	PROPN
ejpam-6198	197	4	j)t(c+j)a−b−1	j)t(c+j)a−b−1	PROPN
ejpam-6198	197	5	γ(c)γ(j	γ(c)γ(j	ADP
ejpam-6198	197	6	+	+	PUNCT
ejpam-6198	197	7	1)γ[(c+	1)γ[(c+	NUM
ejpam-6198	197	8	j)a−	j)a−	NOUN
ejpam-6198	197	9	b	b	PROPN
ejpam-6198	197	10	]	]	PUNCT
ejpam-6198	197	11	.	.	PUNCT
ejpam-6198	198	1	(	(	PUNCT
ejpam-6198	198	2	34	34	NUM
ejpam-6198	198	3	)	)	PUNCT
ejpam-6198	198	4	finally	finally	ADV
ejpam-6198	198	5	,	,	PUNCT
ejpam-6198	198	6	we	we	PRON
ejpam-6198	198	7	employ	employ	VERB
ejpam-6198	198	8	laplace	laplace	NOUN
ejpam-6198	198	9	inverse	inverse	NOUN
ejpam-6198	198	10	transform	transform	NOUN
ejpam-6198	198	11	l−1{w(ρ	l−1{w(ρ	ADV
ejpam-6198	198	12	,	,	PUNCT
ejpam-6198	198	13	s	s	PART
ejpam-6198	198	14	)	)	PUNCT
ejpam-6198	198	15	}	}	PUNCT
ejpam-6198	198	16	and	and	CCONJ
ejpam-6198	198	17	l−1{v(ρ	l−1{v(ρ	PROPN
ejpam-6198	198	18	,	,	PUNCT
ejpam-6198	198	19	s	s	NOUN
ejpam-6198	198	20	)	)	PUNCT
ejpam-6198	198	21	}	}	PUNCT
ejpam-6198	198	22	which	which	PRON
ejpam-6198	198	23	are	be	AUX
ejpam-6198	198	24	w(ρ	w(ρ	PROPN
ejpam-6198	198	25	,	,	PUNCT
ejpam-6198	198	26	t	t	PROPN
ejpam-6198	198	27	)	)	PUNCT
ejpam-6198	198	28	and	and	CCONJ
ejpam-6198	198	29	v(ρ	v(ρ	PROPN
ejpam-6198	198	30	,	,	PUNCT
ejpam-6198	198	31	t	t	PROPN
ejpam-6198	198	32	)	)	PUNCT
ejpam-6198	198	33	respectively	respectively	ADV
ejpam-6198	198	34	then	then	ADV
ejpam-6198	198	35	using	use	VERB
ejpam-6198	198	36	the	the	DET
ejpam-6198	198	37	convolution	convolution	NOUN
ejpam-6198	198	38	theorem	theorem	VERB
ejpam-6198	198	39	to	to	ADP
ejpam-6198	198	40	eqs	eqs	PROPN
ejpam-6198	198	41	.	.	PUNCT
ejpam-6198	199	1	(	(	PUNCT
ejpam-6198	199	2	30	30	NUM
ejpam-6198	199	3	)	)	PUNCT
ejpam-6198	199	4	and	and	CCONJ
ejpam-6198	199	5	(	(	PUNCT
ejpam-6198	199	6	31	31	NUM
ejpam-6198	199	7	)	)	PUNCT
ejpam-6198	199	8	with	with	ADP
ejpam-6198	199	9	ψ	ψ	NOUN
ejpam-6198	199	10	=	=	SYM
ejpam-6198	199	11	i∑	i∑	PROPN
ejpam-6198	199	12	j=0	j=0	PROPN
ejpam-6198	199	13	i	i	PRON
ejpam-6198	199	14	!	!	PUNCT
ejpam-6198	199	15	j!(i−	j!(i−	PROPN
ejpam-6198	200	1	j	j	NOUN
ejpam-6198	200	2	)	)	PUNCT
ejpam-6198	200	3	!	!	PUNCT
ejpam-6198	201	1	(	(	PUNCT
ejpam-6198	201	2	αβa0	αβa0	PROPN
ejpam-6198	201	3	ν	ν	PROPN
ejpam-6198	201	4	)	)	PUNCT
ejpam-6198	201	5	j	j	PROPN
ejpam-6198	201	6	∞∑	∞∑	PROPN
ejpam-6198	201	7	k=0	k=0	PROPN
ejpam-6198	201	8	(	(	PUNCT
ejpam-6198	201	9	i−	i−	PROPN
ejpam-6198	201	10	j	j	PROPN
ejpam-6198	201	11	)	)	PUNCT
ejpam-6198	201	12	!	!	PUNCT
ejpam-6198	202	1	k!(i−	k!(i−	PROPN
ejpam-6198	203	1	j	j	PROPN
ejpam-6198	204	1	−	−	PROPN
ejpam-6198	204	2	k	k	PROPN
ejpam-6198	204	3	)	)	PUNCT
ejpam-6198	204	4	!	!	PUNCT
ejpam-6198	205	1	ak1	ak1	NOUN
ejpam-6198	205	2	∞∑	∞∑	NUM
ejpam-6198	205	3	l=0	l=0	PROPN
ejpam-6198	205	4	(	(	PUNCT
ejpam-6198	205	5	−a1	−a1	PROPN
ejpam-6198	205	6	)	)	PUNCT
ejpam-6198	205	7	l	l	NOUN
ejpam-6198	205	8	l∑	l∑	PUNCT
ejpam-6198	206	1	h=0	h=0	PROPN
ejpam-6198	206	2	l	l	NOUN
ejpam-6198	206	3	!	!	NOUN
ejpam-6198	206	4	h!(l	h!(l	X
ejpam-6198	207	1	−	−	NUM
ejpam-6198	207	2	h	h	NOUN
ejpam-6198	207	3	)	)	PUNCT
ejpam-6198	207	4	!	!	PUNCT
ejpam-6198	208	1	(	(	PUNCT
ejpam-6198	208	2	νgp	νgp	NOUN
ejpam-6198	208	3	+	+	CCONJ
ejpam-6198	208	4	gm)h	gm)h	PROPN
ejpam-6198	208	5	and	and	CCONJ
ejpam-6198	208	6	ω	ω	NUM
ejpam-6198	208	7	=	=	SYM
ejpam-6198	208	8	m1,l+i	m1,l+i	PROPN
ejpam-6198	208	9	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	NOUN
ejpam-6198	208	10	+	+	CCONJ
ejpam-6198	209	1	αβa0gp	αβa0gp	PROPN
ejpam-6198	209	2	+	+	PROPN
ejpam-6198	209	3	gm	gm	PROPN
ejpam-6198	209	4	)	)	PUNCT
ejpam-6198	209	5	,	,	PUNCT
ejpam-6198	209	6	δ	δ	PROPN
ejpam-6198	209	7	)	)	PUNCT
ejpam-6198	209	8	the	the	DET
ejpam-6198	209	9	resultant	resultant	NOUN
ejpam-6198	209	10	expressions	expression	NOUN
ejpam-6198	209	11	of	of	ADP
ejpam-6198	209	12	the	the	DET
ejpam-6198	209	13	velocity	velocity	NOUN
ejpam-6198	209	14	field	field	NOUN
ejpam-6198	209	15	are	be	AUX
ejpam-6198	209	16	w	w	NOUN
ejpam-6198	209	17	=	=	PUNCT
ejpam-6198	209	18	h(t	h(t	PROPN
ejpam-6198	209	19	)	)	PUNCT
ejpam-6198	209	20	(	(	PUNCT
ejpam-6198	209	21	π2	π2	ADP
ejpam-6198	209	22	2	2	NUM
ejpam-6198	209	23	−π2	−π2	NOUN
ejpam-6198	209	24	1)ρ	1)ρ	NOUN
ejpam-6198	209	25	[	[	PUNCT
ejpam-6198	209	26	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	209	27	2	2	NUM
ejpam-6198	209	28	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	209	29	2−π2	2−π2	NUM
ejpam-6198	209	30	1	1	NUM
ejpam-6198	209	31	)	)	PUNCT
ejpam-6198	209	32	]	]	PUNCT
ejpam-6198	210	1	−πh(t	−πh(t	X
ejpam-6198	210	2	)	)	PUNCT
ejpam-6198	210	3	∞∑	∞∑	PROPN
ejpam-6198	210	4	n=1	n=1	PROPN
ejpam-6198	210	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	210	6	,	,	PUNCT
ejpam-6198	210	7	ρn	ρn	PROPN
ejpam-6198	210	8	)	)	PUNCT
ejpam-6198	210	9	j2	j2	NOUN
ejpam-6198	210	10	1	1	NUM
ejpam-6198	210	11	(	(	PUNCT
ejpam-6198	210	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	210	13	j2	j2	PROPN
ejpam-6198	210	14	1	1	NUM
ejpam-6198	210	15	(	(	PUNCT
ejpam-6198	210	16	π2ρn	π2ρn	PROPN
ejpam-6198	210	17	)	)	PUNCT
ejpam-6198	210	18	×	×	NOUN
ejpam-6198	210	19	∞∑	∞∑	PROPN
ejpam-6198	210	20	i=0	i=0	PROPN
ejpam-6198	210	21	(	(	PUNCT
ejpam-6198	210	22	−νρ2n	−νρ2n	X
ejpam-6198	210	23	)	)	PUNCT
ejpam-6198	211	1	i	i	PRON
ejpam-6198	212	1	ψ	ψ	X
ejpam-6198	212	2	∫	∫	PROPN
ejpam-6198	212	3	t	t	NOUN
ejpam-6198	212	4	0	0	NUM
ejpam-6198	213	1	[	[	X
ejpam-6198	213	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	213	3	δ)−	δ)−	PROPN
ejpam-6198	213	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	213	5	δ)]ω	δ)]ω	PROPN
ejpam-6198	213	6	dδ	dδ	X
ejpam-6198	213	7	,	,	PUNCT
ejpam-6198	213	8	(	(	PUNCT
ejpam-6198	213	9	35	35	NUM
ejpam-6198	213	10	)	)	PUNCT
ejpam-6198	213	11	v	v	NOUN
ejpam-6198	213	12	=	=	SYM
ejpam-6198	213	13	h(t	h(t	NUM
ejpam-6198	213	14	)	)	PUNCT
ejpam-6198	213	15	ln(π2	ln(π2	NOUN
ejpam-6198	213	16	/	/	SYM
ejpam-6198	213	17	π1	π1	NOUN
ejpam-6198	213	18	)	)	PUNCT
ejpam-6198	213	19	[	[	PUNCT
ejpam-6198	213	20	v1g3(t	v1g3(t	X
ejpam-6198	213	21	)	)	PUNCT
ejpam-6198	213	22	ln(π2	ln(π2	NOUN
ejpam-6198	213	23	/	/	SYM
ejpam-6198	213	24	ρ	ρ	NOUN
ejpam-6198	213	25	)	)	PUNCT
ejpam-6198	213	26	+	+	CCONJ
ejpam-6198	213	27	v2g4(t	v2g4(t	PROPN
ejpam-6198	213	28	)	)	PUNCT
ejpam-6198	213	29	ln(ρ	ln(ρ	PUNCT
ejpam-6198	213	30	/	/	SYM
ejpam-6198	213	31	π1	π1	NOUN
ejpam-6198	213	32	)	)	PUNCT
ejpam-6198	213	33	]	]	PUNCT
ejpam-6198	213	34	−	−	PROPN
ejpam-6198	213	35	πh(t	πh(t	PUNCT
ejpam-6198	213	36	)	)	PUNCT
ejpam-6198	213	37	∞∑	∞∑	NUM
ejpam-6198	213	38	n=1	n=1	PROPN
ejpam-6198	213	39	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	213	40	,	,	PUNCT
ejpam-6198	213	41	ρm	ρm	PROPN
ejpam-6198	213	42	)	)	PUNCT
ejpam-6198	213	43	j2	j2	NOUN
ejpam-6198	213	44	0	0	NUM
ejpam-6198	214	1	(	(	PUNCT
ejpam-6198	214	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	214	3	j2	j2	NOUN
ejpam-6198	214	4	0	0	NUM
ejpam-6198	214	5	(	(	PUNCT
ejpam-6198	214	6	π2ρm	π2ρm	X
ejpam-6198	214	7	)	)	PUNCT
ejpam-6198	214	8	×	×	NOUN
ejpam-6198	214	9	∞∑	∞∑	PROPN
ejpam-6198	214	10	i=0	i=0	PROPN
ejpam-6198	214	11	(	(	PUNCT
ejpam-6198	214	12	−νρ2m)i	−νρ2m)i	NOUN
ejpam-6198	214	13	ψ	ψ	ADP
ejpam-6198	214	14	∫	∫	PROPN
ejpam-6198	214	15	t	t	NOUN
ejpam-6198	214	16	0	0	NUM
ejpam-6198	215	1	[	[	X
ejpam-6198	215	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	215	3	δ)−	δ)−	PROPN
ejpam-6198	215	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	215	5	δ)]ω	δ)]ω	PROPN
ejpam-6198	215	6	dδ	dδ	PROPN
ejpam-6198	215	7	.	.	PUNCT
ejpam-6198	216	1	(	(	PUNCT
ejpam-6198	216	2	36	36	NUM
ejpam-6198	216	3	)	)	PUNCT
ejpam-6198	216	4	m.	m.	NOUN
ejpam-6198	216	5	zafarullah	zafarullah	PROPN
ejpam-6198	216	6	et	et	PROPN
ejpam-6198	216	7	al	al	PROPN
ejpam-6198	216	8	.	.	PUNCT
ejpam-6198	216	9	/	/	SYM
ejpam-6198	216	10	eur	eur	PROPN
ejpam-6198	216	11	.	.	PUNCT
ejpam-6198	217	1	j.	j.	PROPN
ejpam-6198	217	2	pure	pure	PROPN
ejpam-6198	217	3	appl	appl	PROPN
ejpam-6198	217	4	.	.	PROPN
ejpam-6198	217	5	math	math	PROPN
ejpam-6198	217	6	,	,	PUNCT
ejpam-6198	217	7	18	18	NUM
ejpam-6198	217	8	(	(	PUNCT
ejpam-6198	217	9	4	4	NUM
ejpam-6198	217	10	)	)	PUNCT
ejpam-6198	217	11	(	(	PUNCT
ejpam-6198	217	12	2025	2025	NUM
ejpam-6198	217	13	)	)	PUNCT
ejpam-6198	217	14	,	,	PUNCT
ejpam-6198	217	15	6198	6198	NUM
ejpam-6198	217	16	14	14	NUM
ejpam-6198	217	17	of	of	ADP
ejpam-6198	217	18	41	41	NUM
ejpam-6198	217	19	4.2	4.2	NUM
ejpam-6198	217	20	.	.	PUNCT
ejpam-6198	218	1	for	for	SCONJ
ejpam-6198	218	2	shear	shear	NOUN
ejpam-6198	218	3	stresses	stress	NOUN
ejpam-6198	218	4	to	to	PART
ejpam-6198	218	5	employ	employ	VERB
ejpam-6198	218	6	laplace	laplace	NOUN
ejpam-6198	218	7	transform	transform	NOUN
ejpam-6198	218	8	to	to	ADP
ejpam-6198	218	9	eqs	eqs	PROPN
ejpam-6198	218	10	.	.	PUNCT
ejpam-6198	219	1	(	(	PUNCT
ejpam-6198	219	2	7	7	NUM
ejpam-6198	219	3	)	)	PUNCT
ejpam-6198	219	4	and	and	CCONJ
ejpam-6198	219	5	(	(	PUNCT
ejpam-6198	219	6	8)	8)	NUM
ejpam-6198	219	7	s̄ρθ(ρ	s̄ρθ(ρ	NOUN
ejpam-6198	219	8	,	,	PUNCT
ejpam-6198	219	9	s	s	NOUN
ejpam-6198	219	10	)	)	PUNCT
ejpam-6198	219	11	=	=	SYM
ejpam-6198	219	12	(	(	PUNCT
ejpam-6198	219	13	µ+	µ+	X
ejpam-6198	219	14	αβa0	αβa0	PROPN
ejpam-6198	219	15	sβ	sβ	X
ejpam-6198	219	16	sβ	sβ	NOUN
ejpam-6198	219	17	+	+	CCONJ
ejpam-6198	219	18	a1	a1	NOUN
ejpam-6198	219	19	)	)	PUNCT
ejpam-6198	219	20	(	(	PUNCT
ejpam-6198	219	21	∂	∂	NUM
ejpam-6198	219	22	∂ρ	∂ρ	NOUN
ejpam-6198	219	23	−	−	PROPN
ejpam-6198	219	24	1	1	NUM
ejpam-6198	219	25	ρ	ρ	NOUN
ejpam-6198	219	26	)	)	PUNCT
ejpam-6198	219	27	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	219	28	,	,	PUNCT
ejpam-6198	219	29	s	s	NOUN
ejpam-6198	219	30	)	)	PUNCT
ejpam-6198	219	31	,	,	PUNCT
ejpam-6198	219	32	(	(	PUNCT
ejpam-6198	219	33	37	37	NUM
ejpam-6198	219	34	)	)	PUNCT
ejpam-6198	219	35	s̄ρz(ρ	s̄ρz(ρ	NOUN
ejpam-6198	219	36	,	,	PUNCT
ejpam-6198	219	37	s	s	NOUN
ejpam-6198	219	38	)	)	PUNCT
ejpam-6198	219	39	=	=	SYM
ejpam-6198	219	40	(	(	PUNCT
ejpam-6198	219	41	µ+	µ+	X
ejpam-6198	219	42	αβa0	αβa0	PROPN
ejpam-6198	220	1	sβ	sβ	X
ejpam-6198	220	2	sβ	sβ	NOUN
ejpam-6198	220	3	+	+	CCONJ
ejpam-6198	220	4	a1	a1	NOUN
ejpam-6198	220	5	)	)	PUNCT
ejpam-6198	220	6	∂	∂	NOUN
ejpam-6198	221	1	∂ρ	∂ρ	PROPN
ejpam-6198	221	2	v̄(ρ	v̄(ρ	PROPN
ejpam-6198	221	3	,	,	PUNCT
ejpam-6198	221	4	s	s	NOUN
ejpam-6198	221	5	)	)	PUNCT
ejpam-6198	221	6	,	,	PUNCT
ejpam-6198	221	7	(	(	PUNCT
ejpam-6198	221	8	38	38	NUM
ejpam-6198	221	9	)	)	PUNCT
ejpam-6198	221	10	and	and	CCONJ
ejpam-6198	221	11	using	use	VERB
ejpam-6198	221	12	the	the	DET
ejpam-6198	221	13	fact	fact	NOUN
ejpam-6198	221	14	that	that	SCONJ
ejpam-6198	221	15	∂	∂	NUM
ejpam-6198	221	16	∂ρ	∂ρ	PROPN
ejpam-6198	221	17	d1(ρ	d1(ρ	PROPN
ejpam-6198	221	18	,	,	PUNCT
ejpam-6198	221	19	ρn	ρn	PROPN
ejpam-6198	221	20	)	)	PUNCT
ejpam-6198	221	21	=	=	SYM
ejpam-6198	221	22	ρnd1(ρ	ρnd1(ρ	NOUN
ejpam-6198	221	23	,	,	PUNCT
ejpam-6198	221	24	ρn)−	ρn)−	VERB
ejpam-6198	221	25	1	1	NUM
ejpam-6198	221	26	ρ	ρ	NUM
ejpam-6198	221	27	d1(ρ	d1(ρ	PROPN
ejpam-6198	221	28	,	,	PUNCT
ejpam-6198	221	29	ρn	ρn	INTJ
ejpam-6198	221	30	)	)	PUNCT
ejpam-6198	221	31	and	and	CCONJ
ejpam-6198	221	32	∂	∂	NUM
ejpam-6198	221	33	∂ρ	∂ρ	PROPN
ejpam-6198	221	34	d0(ρ	d0(ρ	PROPN
ejpam-6198	221	35	,	,	PUNCT
ejpam-6198	221	36	ρm	ρm	NOUN
ejpam-6198	221	37	)	)	PUNCT
ejpam-6198	221	38	=	=	SYM
ejpam-6198	221	39	−ρmd0(ρ	−ρmd0(ρ	PROPN
ejpam-6198	221	40	,	,	PUNCT
ejpam-6198	221	41	ρm	ρm	NOUN
ejpam-6198	221	42	)	)	PUNCT
ejpam-6198	221	43	where	where	SCONJ
ejpam-6198	221	44	d1(ρ	d1(ρ	NOUN
ejpam-6198	221	45	,	,	PUNCT
ejpam-6198	221	46	ρn	ρn	NUM
ejpam-6198	221	47	)	)	PUNCT
ejpam-6198	221	48	=	=	SYM
ejpam-6198	221	49	j0(ρρn)y1(π2ρn)−	j0(ρρn)y1(π2ρn)−	PROPN
ejpam-6198	221	50	j1(π2ρn)y0(ρρn	j1(π2ρn)y0(ρρn	NOUN
ejpam-6198	221	51	)	)	PUNCT
ejpam-6198	221	52	,	,	PUNCT
ejpam-6198	221	53	d0(ρ	d0(ρ	PROPN
ejpam-6198	221	54	,	,	PUNCT
ejpam-6198	221	55	ρm	ρm	NOUN
ejpam-6198	221	56	)	)	PUNCT
ejpam-6198	221	57	=	=	SYM
ejpam-6198	222	1	j1(ρρm)y0(π2ρm)−	j1(ρρm)y0(π2ρm)−	PROPN
ejpam-6198	222	2	j0(π2ρm)y1(ρρm	j0(π2ρm)y1(ρρm	PROPN
ejpam-6198	222	3	)	)	PUNCT
ejpam-6198	222	4	,	,	PUNCT
ejpam-6198	222	5	and	and	CCONJ
ejpam-6198	222	6	if	if	SCONJ
ejpam-6198	222	7	d̃1(ρ	d̃1(ρ	PROPN
ejpam-6198	222	8	,	,	PUNCT
ejpam-6198	222	9	ρn	ρn	PROPN
ejpam-6198	222	10	)	)	PUNCT
ejpam-6198	222	11	=	=	SYM
ejpam-6198	222	12	2	2	NUM
ejpam-6198	222	13	ρ	ρ	NUM
ejpam-6198	222	14	d1(ρ	d1(ρ	PROPN
ejpam-6198	222	15	,	,	PUNCT
ejpam-6198	222	16	ρn)−	ρn)−	PROPN
ejpam-6198	222	17	ρnd1(ρ	ρnd1(ρ	NUM
ejpam-6198	222	18	,	,	PUNCT
ejpam-6198	222	19	ρn	ρn	NUM
ejpam-6198	222	20	)	)	PUNCT
ejpam-6198	222	21	,	,	PUNCT
ejpam-6198	222	22	d̃0(ρ	d̃0(ρ	PROPN
ejpam-6198	222	23	,	,	PUNCT
ejpam-6198	222	24	ρm	ρm	PROPN
ejpam-6198	222	25	)	)	PUNCT
ejpam-6198	222	26	=	=	SYM
ejpam-6198	222	27	−ρmd0(ρ	−ρmd0(ρ	PROPN
ejpam-6198	222	28	,	,	PUNCT
ejpam-6198	222	29	ρm	ρm	PROPN
ejpam-6198	222	30	)	)	PUNCT
ejpam-6198	222	31	,	,	PUNCT
ejpam-6198	222	32	then	then	ADV
ejpam-6198	222	33	,	,	PUNCT
ejpam-6198	222	34	we	we	PRON
ejpam-6198	222	35	have	have	VERB
ejpam-6198	222	36	∂w̄(ρ	∂w̄(ρ	NUM
ejpam-6198	222	37	,	,	PUNCT
ejpam-6198	222	38	s	s	PART
ejpam-6198	222	39	)	)	PUNCT
ejpam-6198	222	40	∂ρ	∂ρ	NOUN
ejpam-6198	223	1	−	−	NOUN
ejpam-6198	223	2	1	1	NUM
ejpam-6198	223	3	ρ	ρ	PROPN
ejpam-6198	223	4	w̄(ρ	w̄(ρ	PROPN
ejpam-6198	223	5	,	,	PUNCT
ejpam-6198	223	6	s	s	X
ejpam-6198	223	7	)	)	PUNCT
ejpam-6198	223	8	=	=	SYM
ejpam-6198	223	9	2u2g2(s)π2π	2u2g2(s)π2π	NUM
ejpam-6198	223	10	2	2	NUM
ejpam-6198	223	11	1	1	NUM
ejpam-6198	223	12	−	−	NOUN
ejpam-6198	223	13	2u1g1(s)π1π	2u1g1(s)π1π	NUM
ejpam-6198	223	14	2	2	NUM
ejpam-6198	223	15	2	2	NUM
ejpam-6198	223	16	(	(	PUNCT
ejpam-6198	223	17	π2	π2	PROPN
ejpam-6198	223	18	2	2	NUM
ejpam-6198	223	19	−π2	−π2	NOUN
ejpam-6198	223	20	1)ρ	1)ρ	NUM
ejpam-6198	223	21	2	2	NUM
ejpam-6198	223	22	+	+	NOUN
ejpam-6198	223	23	π	π	PROPN
ejpam-6198	223	24	∞∑	∞∑	NUM
ejpam-6198	223	25	n=1	n=1	PROPN
ejpam-6198	223	26	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	223	27	,	,	PUNCT
ejpam-6198	223	28	ρn	ρn	NUM
ejpam-6198	223	29	)	)	PUNCT
ejpam-6198	223	30	j2	j2	NOUN
ejpam-6198	223	31	1	1	NUM
ejpam-6198	223	32	(	(	PUNCT
ejpam-6198	223	33	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	223	34	j2	j2	PROPN
ejpam-6198	223	35	1	1	NUM
ejpam-6198	223	36	(	(	PUNCT
ejpam-6198	223	37	π2ρn	π2ρn	PROPN
ejpam-6198	223	38	)	)	PUNCT
ejpam-6198	224	1	[	[	X
ejpam-6198	224	2	u2g2(s)j1(π1ρn)−	u2g2(s)j1(π1ρn)−	PROPN
ejpam-6198	224	3	u1g1(s)j2(π2ρn)]ξn	u1g1(s)j2(π2ρn)]ξn	PROPN
ejpam-6198	224	4	(	(	PUNCT
ejpam-6198	224	5	39	39	NUM
ejpam-6198	224	6	)	)	PUNCT
ejpam-6198	224	7	∂v̄(ρ	∂v̄(ρ	NUM
ejpam-6198	224	8	,	,	PUNCT
ejpam-6198	224	9	s	s	NOUN
ejpam-6198	224	10	)	)	PUNCT
ejpam-6198	224	11	∂ρ	∂ρ	NOUN
ejpam-6198	224	12	=	=	SYM
ejpam-6198	224	13	v2g4(s)−	v2g4(s)−	PROPN
ejpam-6198	224	14	v1g3(s	v1g3(s	PROPN
ejpam-6198	224	15	)	)	PUNCT
ejpam-6198	224	16	ρ	ρ	PROPN
ejpam-6198	224	17	ln(π2	ln(π2	NOUN
ejpam-6198	224	18	/	/	SYM
ejpam-6198	224	19	π1	π1	NOUN
ejpam-6198	224	20	)	)	PUNCT
ejpam-6198	224	21	m.	m.	NOUN
ejpam-6198	224	22	zafarullah	zafarullah	PROPN
ejpam-6198	224	23	et	et	PROPN
ejpam-6198	224	24	al	al	PROPN
ejpam-6198	224	25	.	.	PUNCT
ejpam-6198	224	26	/	/	SYM
ejpam-6198	224	27	eur	eur	PROPN
ejpam-6198	224	28	.	.	PUNCT
ejpam-6198	225	1	j.	j.	PROPN
ejpam-6198	225	2	pure	pure	PROPN
ejpam-6198	225	3	appl	appl	PROPN
ejpam-6198	225	4	.	.	PROPN
ejpam-6198	225	5	math	math	PROPN
ejpam-6198	225	6	,	,	PUNCT
ejpam-6198	225	7	18	18	NUM
ejpam-6198	225	8	(	(	PUNCT
ejpam-6198	225	9	4	4	NUM
ejpam-6198	225	10	)	)	PUNCT
ejpam-6198	225	11	(	(	PUNCT
ejpam-6198	225	12	2025	2025	NUM
ejpam-6198	225	13	)	)	PUNCT
ejpam-6198	225	14	,	,	PUNCT
ejpam-6198	225	15	6198	6198	NUM
ejpam-6198	225	16	15	15	NUM
ejpam-6198	225	17	of	of	ADP
ejpam-6198	225	18	41	41	NUM
ejpam-6198	225	19	+	+	NOUN
ejpam-6198	225	20	π	π	PROPN
ejpam-6198	225	21	∞∑	∞∑	PROPN
ejpam-6198	225	22	m=1	m=1	PROPN
ejpam-6198	225	23	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	225	24	,	,	PUNCT
ejpam-6198	225	25	ρm	ρm	PROPN
ejpam-6198	225	26	)	)	PUNCT
ejpam-6198	225	27	j2	j2	NOUN
ejpam-6198	225	28	0	0	NUM
ejpam-6198	226	1	(	(	PUNCT
ejpam-6198	226	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	226	3	j2	j2	NOUN
ejpam-6198	226	4	0	0	NUM
ejpam-6198	226	5	(	(	PUNCT
ejpam-6198	226	6	π2ρm	π2ρm	X
ejpam-6198	226	7	)	)	PUNCT
ejpam-6198	226	8	[	[	PUNCT
ejpam-6198	226	9	v2g4(s)j0(π1ρm)−	v2g4(s)j0(π1ρm)−	NOUN
ejpam-6198	226	10	v1g3(s)j0(π2ρm	v1g3(s)j0(π2ρm	NOUN
ejpam-6198	226	11	)	)	PUNCT
ejpam-6198	226	12	]	]	PUNCT
ejpam-6198	226	13	ξm	ξm	PROPN
ejpam-6198	226	14	(	(	PUNCT
ejpam-6198	226	15	40	40	NUM
ejpam-6198	226	16	)	)	PUNCT
ejpam-6198	226	17	are	be	AUX
ejpam-6198	226	18	obtained	obtain	VERB
ejpam-6198	226	19	from	from	ADP
ejpam-6198	226	20	eqs.(26	eqs.(26	PROPN
ejpam-6198	226	21	)	)	PUNCT
ejpam-6198	226	22	and	and	CCONJ
ejpam-6198	226	23	(	(	PUNCT
ejpam-6198	226	24	27	27	NUM
ejpam-6198	226	25	)	)	PUNCT
ejpam-6198	226	26	after	after	ADP
ejpam-6198	226	27	applying	apply	VERB
ejpam-6198	226	28	inverse	inverse	NOUN
ejpam-6198	226	29	hankel	hankel	NOUN
ejpam-6198	226	30	transformation	transformation	NOUN
ejpam-6198	226	31	.	.	PUNCT
ejpam-6198	227	1	introducing	introduce	VERB
ejpam-6198	227	2	eqs.(39	eqs.(39	PROPN
ejpam-6198	227	3	)	)	PUNCT
ejpam-6198	227	4	and	and	CCONJ
ejpam-6198	227	5	(	(	PUNCT
ejpam-6198	227	6	40	40	NUM
ejpam-6198	227	7	)	)	PUNCT
ejpam-6198	227	8	into	into	ADP
ejpam-6198	227	9	eqs	eqs	PROPN
ejpam-6198	227	10	.	.	PUNCT
ejpam-6198	228	1	(	(	PUNCT
ejpam-6198	228	2	37	37	NUM
ejpam-6198	228	3	)	)	PUNCT
ejpam-6198	228	4	and	and	CCONJ
ejpam-6198	228	5	(	(	PUNCT
ejpam-6198	228	6	38	38	NUM
ejpam-6198	228	7	)	)	PUNCT
ejpam-6198	228	8	consequently	consequently	ADV
ejpam-6198	228	9	,	,	PUNCT
ejpam-6198	228	10	employing	employ	VERB
ejpam-6198	228	11	the	the	DET
ejpam-6198	228	12	inverse	inverse	ADJ
ejpam-6198	228	13	laplace	laplace	NOUN
ejpam-6198	228	14	transform	transform	NOUN
ejpam-6198	228	15	then	then	ADV
ejpam-6198	228	16	convolution	convolution	NOUN
ejpam-6198	228	17	theorem	theorem	VERB
ejpam-6198	228	18	,	,	PUNCT
ejpam-6198	228	19	we	we	PRON
ejpam-6198	228	20	gained	gain	VERB
ejpam-6198	228	21	the	the	DET
ejpam-6198	228	22	shear	shear	NOUN
ejpam-6198	228	23	stress	stress	PROPN
ejpam-6198	228	24	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	228	25	,	,	PUNCT
ejpam-6198	228	26	t	t	PROPN
ejpam-6198	228	27	)	)	PUNCT
ejpam-6198	228	28	and	and	CCONJ
ejpam-6198	228	29	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	228	30	,	,	PUNCT
ejpam-6198	228	31	t	t	PROPN
ejpam-6198	228	32	)	)	PUNCT
ejpam-6198	228	33	with	with	ADP
ejpam-6198	228	34	υ	υ	PROPN
ejpam-6198	228	35	=	=	SYM
ejpam-6198	228	36	i∑	i∑	PROPN
ejpam-6198	228	37	j=0	j=0	PROPN
ejpam-6198	228	38	i	i	PRON
ejpam-6198	228	39	!	!	PUNCT
ejpam-6198	228	40	j!(i−	j!(i−	PROPN
ejpam-6198	229	1	j	j	NOUN
ejpam-6198	229	2	)	)	PUNCT
ejpam-6198	229	3	!	!	PUNCT
ejpam-6198	230	1	(	(	PUNCT
ejpam-6198	230	2	αβa0s	αβa0s	PROPN
ejpam-6198	230	3	β	β	X
ejpam-6198	230	4	ν	ν	X
ejpam-6198	230	5	)	)	PUNCT
ejpam-6198	230	6	j	j	PROPN
ejpam-6198	230	7	∞∑	∞∑	PROPN
ejpam-6198	230	8	k=0	k=0	PROPN
ejpam-6198	230	9	(	(	PUNCT
ejpam-6198	230	10	i−	i−	PROPN
ejpam-6198	230	11	j	j	PROPN
ejpam-6198	230	12	)	)	PUNCT
ejpam-6198	230	13	!	!	PUNCT
ejpam-6198	230	14	k!(i−	k!(i−	PROPN
ejpam-6198	231	1	j	j	PROPN
ejpam-6198	232	1	−	−	PROPN
ejpam-6198	232	2	k	k	PROPN
ejpam-6198	232	3	)	)	PUNCT
ejpam-6198	232	4	!	!	PUNCT
ejpam-6198	233	1	ak1	ak1	NOUN
ejpam-6198	233	2	∞∑	∞∑	NUM
ejpam-6198	233	3	l=0	l=0	PROPN
ejpam-6198	233	4	(	(	PUNCT
ejpam-6198	233	5	−a1	−a1	PROPN
ejpam-6198	233	6	)	)	PUNCT
ejpam-6198	233	7	l	l	NOUN
ejpam-6198	233	8	l∑	l∑	PUNCT
ejpam-6198	234	1	h=0	h=0	PROPN
ejpam-6198	234	2	l	l	NOUN
ejpam-6198	234	3	!	!	NOUN
ejpam-6198	234	4	h!(l	h!(l	X
ejpam-6198	235	1	−	−	NUM
ejpam-6198	235	2	h	h	NOUN
ejpam-6198	235	3	)	)	PUNCT
ejpam-6198	235	4	!	!	PUNCT
ejpam-6198	236	1	×(να1gp+α1gm)h	×(να1gp+α1gm)h	NUM
ejpam-6198	236	2	and	and	CCONJ
ejpam-6198	236	3	m	m	PROPN
ejpam-6198	236	4	=	=	PUNCT
ejpam-6198	236	5	(	(	PUNCT
ejpam-6198	236	6	µ+	µ+	X
ejpam-6198	236	7	αβa0	αβa0	PROPN
ejpam-6198	236	8	)	)	PUNCT
ejpam-6198	236	9	m1,l+i	m1,l+i	VERB
ejpam-6198	236	10	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	NOUN
ejpam-6198	236	11	+	+	CCONJ
ejpam-6198	236	12	αβaogp	αβaogp	NOUN
ejpam-6198	236	13	+	+	PROPN
ejpam-6198	236	14	gm	gm	PROPN
ejpam-6198	236	15	)	)	PUNCT
ejpam-6198	236	16	,	,	PUNCT
ejpam-6198	236	17	δ	δ	PROPN
ejpam-6198	236	18	)	)	PUNCT
ejpam-6198	237	1	+	+	NOUN
ejpam-6198	237	2	µa1m1,l+i	µa1m1,l+i	X
ejpam-6198	237	3	−β(1+k+l)+l−h	−β(1+k+l)+l−h	NOUN
ejpam-6198	237	4	(	(	PUNCT
ejpam-6198	237	5	−(νgp	−(νgp	NOUN
ejpam-6198	237	6	+	+	NOUN
ejpam-6198	237	7	αβaogp	αβaogp	NOUN
ejpam-6198	237	8	+	+	PROPN
ejpam-6198	237	9	gm	gm	PROPN
ejpam-6198	237	10	)	)	PUNCT
ejpam-6198	237	11	,	,	PUNCT
ejpam-6198	237	12	δ	δ	PROPN
ejpam-6198	237	13	)	)	PUNCT
ejpam-6198	237	14	then	then	ADV
ejpam-6198	237	15	;	;	PUNCT
ejpam-6198	237	16	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	237	17	,	,	PUNCT
ejpam-6198	237	18	t	t	PROPN
ejpam-6198	237	19	)	)	PUNCT
ejpam-6198	237	20	=	=	SYM
ejpam-6198	237	21	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	237	22	(	(	PUNCT
ejpam-6198	237	23	π2	π2	ADJ
ejpam-6198	237	24	2	2	NUM
ejpam-6198	237	25	−π2	−π2	NOUN
ejpam-6198	237	26	1)ρ	1)ρ	NUM
ejpam-6198	237	27	2	2	NUM
ejpam-6198	237	28	[	[	X
ejpam-6198	237	29	u2g2(t)π1	u2g2(t)π1	X
ejpam-6198	237	30	−	−	ADP
ejpam-6198	237	31	u1g1(t)π2][µ+	u1g1(t)π2][µ+	ADJ
ejpam-6198	237	32	αβao]−	αβao]−	PROPN
ejpam-6198	237	33	αβa0	αβa0	PROPN
ejpam-6198	237	34	(	(	PUNCT
ejpam-6198	237	35	π2	π2	PROPN
ejpam-6198	237	36	2	2	NUM
ejpam-6198	237	37	−π2	−π2	NOUN
ejpam-6198	237	38	1)ρ	1)ρ	NUM
ejpam-6198	237	39	2	2	NUM
ejpam-6198	237	40	×	×	NOUN
ejpam-6198	237	41	∫	∫	PROPN
ejpam-6198	237	42	t	t	NOUN
ejpam-6198	237	43	0	0	NUM
ejpam-6198	238	1	[	[	X
ejpam-6198	238	2	u2π1g2(t−	u2π1g2(t−	ADJ
ejpam-6198	238	3	δ)−	δ)−	ADJ
ejpam-6198	238	4	u1π2g1(t−	u1π2g1(t−	NOUN
ejpam-6198	239	1	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	239	2	0	0	PUNCT
ejpam-6198	240	1	(	(	PUNCT
ejpam-6198	240	2	−a1	−a1	PROPN
ejpam-6198	240	3	,	,	PUNCT
ejpam-6198	240	4	δ)dδ	δ)dδ	PROPN
ejpam-6198	240	5	+	+	NUM
ejpam-6198	240	6	πh(t	πh(t	PUNCT
ejpam-6198	240	7	)	)	PUNCT
ejpam-6198	240	8	∞∑	∞∑	NUM
ejpam-6198	240	9	n=1	n=1	PROPN
ejpam-6198	240	10	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	240	11	,	,	PUNCT
ejpam-6198	240	12	ρn	ρn	NUM
ejpam-6198	240	13	)	)	PUNCT
ejpam-6198	240	14	j2	j2	NOUN
ejpam-6198	240	15	1	1	NUM
ejpam-6198	240	16	(	(	PUNCT
ejpam-6198	240	17	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	240	18	j2	j2	PROPN
ejpam-6198	240	19	1	1	NUM
ejpam-6198	240	20	(	(	PUNCT
ejpam-6198	240	21	π2ρn	π2ρn	PROPN
ejpam-6198	240	22	)	)	PUNCT
ejpam-6198	240	23	×	×	NOUN
ejpam-6198	240	24	∞∑	∞∑	PROPN
ejpam-6198	240	25	i=0	i=0	PROPN
ejpam-6198	240	26	(	(	PUNCT
ejpam-6198	240	27	−νρ2n	−νρ2n	X
ejpam-6198	240	28	)	)	PUNCT
ejpam-6198	241	1	i	i	PRON
ejpam-6198	241	2	υ	υ	X
ejpam-6198	242	1	∫	∫	PROPN
ejpam-6198	242	2	t	t	NOUN
ejpam-6198	242	3	0	0	NUM
ejpam-6198	243	1	[	[	X
ejpam-6198	243	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	243	3	δ)−	δ)−	PROPN
ejpam-6198	243	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	243	5	δ	δ	PROPN
ejpam-6198	243	6	)	)	PUNCT
ejpam-6198	243	7	]	]	X
ejpam-6198	244	1	m	m	VERB
ejpam-6198	244	2	dδ	dδ	ADP
ejpam-6198	244	3	,	,	PUNCT
ejpam-6198	244	4	(	(	PUNCT
ejpam-6198	244	5	41	41	NUM
ejpam-6198	244	6	)	)	PUNCT
ejpam-6198	244	7	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	244	8	,	,	PUNCT
ejpam-6198	244	9	t	t	PROPN
ejpam-6198	244	10	)	)	PUNCT
ejpam-6198	244	11	=	=	SYM
ejpam-6198	244	12	h(t	h(t	PROPN
ejpam-6198	244	13	)	)	PUNCT
ejpam-6198	244	14	ρ	ρ	PROPN
ejpam-6198	244	15	ln(π2	ln(π2	NOUN
ejpam-6198	244	16	/	/	SYM
ejpam-6198	244	17	π1	π1	NOUN
ejpam-6198	244	18	)	)	PUNCT
ejpam-6198	245	1	[	[	X
ejpam-6198	245	2	v2g4(t)−	v2g4(t)−	X
ejpam-6198	245	3	v1g3(t)](µ+	v1g3(t)](µ+	PROPN
ejpam-6198	245	4	αβao)−	αβao)−	PROPN
ejpam-6198	245	5	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	245	6	ρ	ρ	PROPN
ejpam-6198	245	7	ln(π2	ln(π2	NOUN
ejpam-6198	245	8	/	/	SYM
ejpam-6198	245	9	π1	π1	NOUN
ejpam-6198	245	10	)	)	PUNCT
ejpam-6198	245	11	×	×	NOUN
ejpam-6198	245	12	∫	∫	PROPN
ejpam-6198	245	13	t	t	NOUN
ejpam-6198	245	14	0	0	NUM
ejpam-6198	246	1	[	[	X
ejpam-6198	246	2	v2g4(t−	v2g4(t−	PRON
ejpam-6198	246	3	δ)−	δ)−	PROPN
ejpam-6198	246	4	v1g3(t−	v1g3(t−	NOUN
ejpam-6198	247	1	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	247	2	0	0	NUM
ejpam-6198	248	1	(	(	PUNCT
ejpam-6198	248	2	−a1	−a1	PROPN
ejpam-6198	248	3	,	,	PUNCT
ejpam-6198	248	4	δ)dδ	δ)dδ	PROPN
ejpam-6198	248	5	+	+	NUM
ejpam-6198	248	6	πh(t	πh(t	PUNCT
ejpam-6198	248	7	)	)	PUNCT
ejpam-6198	249	1	∞∑	∞∑	PRON
ejpam-6198	249	2	m=1	m=1	PROPN
ejpam-6198	249	3	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	249	4	,	,	PUNCT
ejpam-6198	249	5	ρm	ρm	PROPN
ejpam-6198	249	6	)	)	PUNCT
ejpam-6198	249	7	j2	j2	NOUN
ejpam-6198	249	8	0	0	NUM
ejpam-6198	250	1	(	(	PUNCT
ejpam-6198	250	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	250	3	j2	j2	NOUN
ejpam-6198	250	4	0	0	NUM
ejpam-6198	250	5	(	(	PUNCT
ejpam-6198	250	6	π2ρm	π2ρm	NOUN
ejpam-6198	250	7	)	)	PUNCT
ejpam-6198	250	8	m.	m.	NOUN
ejpam-6198	250	9	zafarullah	zafarullah	PROPN
ejpam-6198	250	10	et	et	PROPN
ejpam-6198	250	11	al	al	PROPN
ejpam-6198	250	12	.	.	PUNCT
ejpam-6198	250	13	/	/	SYM
ejpam-6198	250	14	eur	eur	PROPN
ejpam-6198	250	15	.	.	PUNCT
ejpam-6198	251	1	j.	j.	PROPN
ejpam-6198	251	2	pure	pure	PROPN
ejpam-6198	251	3	appl	appl	PROPN
ejpam-6198	251	4	.	.	PROPN
ejpam-6198	251	5	math	math	PROPN
ejpam-6198	251	6	,	,	PUNCT
ejpam-6198	251	7	18	18	NUM
ejpam-6198	251	8	(	(	PUNCT
ejpam-6198	251	9	4	4	NUM
ejpam-6198	251	10	)	)	PUNCT
ejpam-6198	251	11	(	(	PUNCT
ejpam-6198	251	12	2025	2025	NUM
ejpam-6198	251	13	)	)	PUNCT
ejpam-6198	251	14	,	,	PUNCT
ejpam-6198	251	15	6198	6198	NUM
ejpam-6198	251	16	16	16	NUM
ejpam-6198	251	17	of	of	ADP
ejpam-6198	251	18	41	41	NUM
ejpam-6198	251	19	×	×	NOUN
ejpam-6198	251	20	∞∑	∞∑	PROPN
ejpam-6198	251	21	i=0	i=0	PROPN
ejpam-6198	251	22	(	(	PUNCT
ejpam-6198	251	23	−νρ2n	−νρ2n	X
ejpam-6198	251	24	)	)	PUNCT
ejpam-6198	252	1	i	i	PRON
ejpam-6198	252	2	υ	υ	X
ejpam-6198	253	1	∫	∫	PROPN
ejpam-6198	253	2	t	t	NOUN
ejpam-6198	253	3	0	0	NUM
ejpam-6198	254	1	[	[	X
ejpam-6198	254	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	254	3	δ)−	δ)−	PROPN
ejpam-6198	254	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	254	5	δ	δ	PROPN
ejpam-6198	254	6	)	)	PUNCT
ejpam-6198	254	7	]	]	X
ejpam-6198	254	8	m	m	VERB
ejpam-6198	254	9	dδ	dδ	PROPN
ejpam-6198	254	10	.	.	PUNCT
ejpam-6198	255	1	(	(	PUNCT
ejpam-6198	255	2	42	42	NUM
ejpam-6198	255	3	)	)	PUNCT
ejpam-6198	255	4	5	5	NUM
ejpam-6198	255	5	.	.	PUNCT
ejpam-6198	255	6	important	important	ADJ
ejpam-6198	255	7	limiting	limiting	NOUN
ejpam-6198	255	8	cases	case	NOUN
ejpam-6198	255	9	5.1	5.1	NUM
ejpam-6198	255	10	.	.	PUNCT
ejpam-6198	256	1	ordinary	ordinary	ADJ
ejpam-6198	256	2	second	second	ADJ
ejpam-6198	256	3	grade	grade	NOUN
ejpam-6198	256	4	fluid	fluid	NOUN
ejpam-6198	256	5	(	(	PUNCT
ejpam-6198	256	6	β	β	X
ejpam-6198	256	7	→	→	SYM
ejpam-6198	256	8	1	1	NUM
ejpam-6198	256	9	)	)	PUNCT
ejpam-6198	256	10	by	by	ADP
ejpam-6198	256	11	assuming	assume	VERB
ejpam-6198	256	12	β	β	PRON
ejpam-6198	256	13	→	→	SYM
ejpam-6198	256	14	1	1	NUM
ejpam-6198	256	15	in	in	ADP
ejpam-6198	256	16	eqs	eqs	PROPN
ejpam-6198	256	17	.	.	PUNCT
ejpam-6198	256	18	(	(	PUNCT
ejpam-6198	256	19	35	35	NUM
ejpam-6198	256	20	)	)	PUNCT
ejpam-6198	256	21	,	,	PUNCT
ejpam-6198	256	22	(	(	PUNCT
ejpam-6198	256	23	36	36	NUM
ejpam-6198	256	24	)	)	PUNCT
ejpam-6198	256	25	,	,	PUNCT
ejpam-6198	256	26	(	(	PUNCT
ejpam-6198	256	27	41	41	NUM
ejpam-6198	256	28	)	)	PUNCT
ejpam-6198	256	29	and	and	CCONJ
ejpam-6198	256	30	(	(	PUNCT
ejpam-6198	256	31	42	42	NUM
ejpam-6198	256	32	)	)	PUNCT
ejpam-6198	256	33	,	,	PUNCT
ejpam-6198	256	34	we	we	PRON
ejpam-6198	256	35	obtained	obtain	VERB
ejpam-6198	256	36	the	the	DET
ejpam-6198	256	37	outcomes	outcome	NOUN
ejpam-6198	256	38	for	for	ADP
ejpam-6198	256	39	ordinary	ordinary	ADJ
ejpam-6198	256	40	second	second	ADJ
ejpam-6198	256	41	grade	grade	NOUN
ejpam-6198	256	42	fluid	fluid	NOUN
ejpam-6198	256	43	.	.	PUNCT
ejpam-6198	257	1	w	w	NOUN
ejpam-6198	257	2	=	=	PUNCT
ejpam-6198	257	3	h(t	h(t	PROPN
ejpam-6198	257	4	)	)	PUNCT
ejpam-6198	257	5	(	(	PUNCT
ejpam-6198	257	6	π2	π2	ADP
ejpam-6198	257	7	2	2	NUM
ejpam-6198	257	8	−π2	−π2	NOUN
ejpam-6198	257	9	1)ρ	1)ρ	NOUN
ejpam-6198	257	10	[	[	PUNCT
ejpam-6198	257	11	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	257	12	2	2	NUM
ejpam-6198	257	13	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	257	14	2−π2	2−π2	NUM
ejpam-6198	257	15	1	1	NUM
ejpam-6198	257	16	)	)	PUNCT
ejpam-6198	257	17	]	]	PUNCT
ejpam-6198	258	1	−πh(t	−πh(t	X
ejpam-6198	258	2	)	)	PUNCT
ejpam-6198	258	3	∞∑	∞∑	PROPN
ejpam-6198	258	4	n=1	n=1	PROPN
ejpam-6198	258	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	258	6	,	,	PUNCT
ejpam-6198	258	7	ρn	ρn	PROPN
ejpam-6198	258	8	)	)	PUNCT
ejpam-6198	258	9	j2	j2	NOUN
ejpam-6198	258	10	1	1	NUM
ejpam-6198	258	11	(	(	PUNCT
ejpam-6198	258	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	258	13	j2	j2	PROPN
ejpam-6198	258	14	1	1	NUM
ejpam-6198	258	15	(	(	PUNCT
ejpam-6198	258	16	π2ρn	π2ρn	PROPN
ejpam-6198	258	17	)	)	PUNCT
ejpam-6198	258	18	×	×	NOUN
ejpam-6198	259	1	∞∑	∞∑	PROPN
ejpam-6198	259	2	i=0	i=0	PROPN
ejpam-6198	259	3	(	(	PUNCT
ejpam-6198	259	4	−νρ2n	−νρ2n	X
ejpam-6198	259	5	)	)	PUNCT
ejpam-6198	259	6	i	i	PRON
ejpam-6198	259	7	i∑	i∑	NUM
ejpam-6198	259	8	j=0	j=0	PROPN
ejpam-6198	259	9	i	i	PRON
ejpam-6198	259	10	!	!	PUNCT
ejpam-6198	259	11	j!(i−	j!(i−	PROPN
ejpam-6198	259	12	j	j	NOUN
ejpam-6198	259	13	)	)	PUNCT
ejpam-6198	259	14	!	!	PUNCT
ejpam-6198	260	1	(	(	PUNCT
ejpam-6198	260	2	αa0	αa0	PROPN
ejpam-6198	260	3	ν	ν	NOUN
ejpam-6198	260	4	)	)	PUNCT
ejpam-6198	260	5	j	j	PROPN
ejpam-6198	260	6	∞∑	∞∑	PROPN
ejpam-6198	260	7	k=0	k=0	PROPN
ejpam-6198	260	8	(	(	PUNCT
ejpam-6198	260	9	i−	i−	PROPN
ejpam-6198	260	10	j	j	PROPN
ejpam-6198	260	11	)	)	PUNCT
ejpam-6198	260	12	!	!	PUNCT
ejpam-6198	261	1	k!(i−	k!(i−	PROPN
ejpam-6198	262	1	j	j	PROPN
ejpam-6198	263	1	−	−	PROPN
ejpam-6198	263	2	k	k	PROPN
ejpam-6198	263	3	)	)	PUNCT
ejpam-6198	263	4	!	!	PUNCT
ejpam-6198	264	1	ak1	ak1	NOUN
ejpam-6198	264	2	∞∑	∞∑	NUM
ejpam-6198	264	3	l=0	l=0	PROPN
ejpam-6198	264	4	(	(	PUNCT
ejpam-6198	264	5	−a1	−a1	PROPN
ejpam-6198	264	6	)	)	PUNCT
ejpam-6198	264	7	l	l	NOUN
ejpam-6198	264	8	l∑	l∑	PUNCT
ejpam-6198	265	1	h=0	h=0	PROPN
ejpam-6198	265	2	l	l	NOUN
ejpam-6198	265	3	!	!	NOUN
ejpam-6198	265	4	h!(l	h!(l	X
ejpam-6198	266	1	−	−	NUM
ejpam-6198	266	2	h	h	NOUN
ejpam-6198	266	3	)	)	PUNCT
ejpam-6198	266	4	!	!	PUNCT
ejpam-6198	267	1	(	(	PUNCT
ejpam-6198	267	2	νgp+gm)h	νgp+gm)h	VERB
ejpam-6198	267	3	×	×	PROPN
ejpam-6198	267	4	∫	∫	PROPN
ejpam-6198	267	5	t	t	NOUN
ejpam-6198	267	6	0	0	NUM
ejpam-6198	268	1	[	[	X
ejpam-6198	268	2	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,l+i	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,l+i	X
ejpam-6198	268	3	−(k+l)+l−h(−(νgp+αa0gp+gm	−(k+l)+l−h(−(νgp+αa0gp+gm	PROPN
ejpam-6198	268	4	)	)	PUNCT
ejpam-6198	268	5	,	,	PUNCT
ejpam-6198	268	6	δ)dδ	δ)dδ	PROPN
ejpam-6198	268	7	,	,	PUNCT
ejpam-6198	268	8	(	(	PUNCT
ejpam-6198	268	9	43	43	NUM
ejpam-6198	268	10	)	)	PUNCT
ejpam-6198	268	11	v	v	NOUN
ejpam-6198	268	12	=	=	SYM
ejpam-6198	268	13	h(t	h(t	NUM
ejpam-6198	268	14	)	)	PUNCT
ejpam-6198	268	15	ln(π2	ln(π2	NOUN
ejpam-6198	268	16	/	/	SYM
ejpam-6198	268	17	π1	π1	NOUN
ejpam-6198	268	18	)	)	PUNCT
ejpam-6198	268	19	[	[	PUNCT
ejpam-6198	268	20	v1g3(t	v1g3(t	X
ejpam-6198	268	21	)	)	PUNCT
ejpam-6198	268	22	ln(π2	ln(π2	NOUN
ejpam-6198	268	23	/	/	SYM
ejpam-6198	268	24	ρ	ρ	NOUN
ejpam-6198	268	25	)	)	PUNCT
ejpam-6198	268	26	+	+	CCONJ
ejpam-6198	268	27	v2g4(t	v2g4(t	PROPN
ejpam-6198	268	28	)	)	PUNCT
ejpam-6198	268	29	ln(ρ	ln(ρ	PUNCT
ejpam-6198	268	30	/	/	SYM
ejpam-6198	268	31	π1	π1	NOUN
ejpam-6198	268	32	)	)	PUNCT
ejpam-6198	268	33	]	]	PUNCT
ejpam-6198	268	34	−	−	PROPN
ejpam-6198	268	35	πh(t	πh(t	PUNCT
ejpam-6198	268	36	)	)	PUNCT
ejpam-6198	269	1	∞∑	∞∑	NUM
ejpam-6198	269	2	n=1	n=1	PROPN
ejpam-6198	269	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	269	4	,	,	PUNCT
ejpam-6198	269	5	ρm	ρm	PROPN
ejpam-6198	269	6	)	)	PUNCT
ejpam-6198	269	7	j2	j2	NOUN
ejpam-6198	269	8	0	0	NUM
ejpam-6198	270	1	(	(	PUNCT
ejpam-6198	270	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	270	3	j2	j2	NOUN
ejpam-6198	270	4	0	0	NUM
ejpam-6198	270	5	(	(	PUNCT
ejpam-6198	270	6	π2ρm	π2ρm	X
ejpam-6198	270	7	)	)	PUNCT
ejpam-6198	270	8	×	×	NOUN
ejpam-6198	270	9	∞∑	∞∑	PROPN
ejpam-6198	270	10	i=0	i=0	PROPN
ejpam-6198	270	11	(	(	PUNCT
ejpam-6198	270	12	−νρ2m)i	−νρ2m)i	ADV
ejpam-6198	270	13	i∑	i∑	NUM
ejpam-6198	270	14	j=0	j=0	PROPN
ejpam-6198	270	15	i	i	PRON
ejpam-6198	270	16	!	!	PUNCT
ejpam-6198	270	17	j!(i−	j!(i−	PROPN
ejpam-6198	271	1	j	j	NOUN
ejpam-6198	271	2	)	)	PUNCT
ejpam-6198	271	3	!	!	PUNCT
ejpam-6198	272	1	(	(	PUNCT
ejpam-6198	272	2	αa0	αa0	PROPN
ejpam-6198	272	3	ν	ν	NOUN
ejpam-6198	272	4	)	)	PUNCT
ejpam-6198	272	5	j	j	PROPN
ejpam-6198	272	6	∞∑	∞∑	PROPN
ejpam-6198	272	7	k=0	k=0	PROPN
ejpam-6198	272	8	(	(	PUNCT
ejpam-6198	272	9	i−	i−	PROPN
ejpam-6198	272	10	j	j	PROPN
ejpam-6198	272	11	)	)	PUNCT
ejpam-6198	272	12	!	!	PUNCT
ejpam-6198	273	1	k!(i−	k!(i−	PROPN
ejpam-6198	274	1	j	j	PROPN
ejpam-6198	275	1	−	−	PROPN
ejpam-6198	275	2	k	k	PROPN
ejpam-6198	275	3	)	)	PUNCT
ejpam-6198	275	4	!	!	PUNCT
ejpam-6198	276	1	ak1	ak1	NOUN
ejpam-6198	276	2	∞∑	∞∑	NUM
ejpam-6198	276	3	l=0	l=0	PROPN
ejpam-6198	276	4	(	(	PUNCT
ejpam-6198	276	5	−a1	−a1	PROPN
ejpam-6198	276	6	)	)	PUNCT
ejpam-6198	276	7	l	l	NOUN
ejpam-6198	276	8	l∑	l∑	PUNCT
ejpam-6198	277	1	h=0	h=0	PROPN
ejpam-6198	277	2	l	l	NOUN
ejpam-6198	277	3	!	!	NOUN
ejpam-6198	277	4	h!(l	h!(l	X
ejpam-6198	278	1	−	−	NUM
ejpam-6198	278	2	h	h	NOUN
ejpam-6198	278	3	)	)	PUNCT
ejpam-6198	278	4	!	!	PUNCT
ejpam-6198	279	1	(	(	PUNCT
ejpam-6198	279	2	νgp+gm)h	νgp+gm)h	VERB
ejpam-6198	279	3	×	×	PROPN
ejpam-6198	279	4	∫	∫	PROPN
ejpam-6198	279	5	t	t	NOUN
ejpam-6198	279	6	0	0	NUM
ejpam-6198	280	1	[	[	X
ejpam-6198	280	2	v2j0(π1ρm)g4(t−δ)−v2j0(π2ρm)g3(t−δ)]m1,l+i	v2j0(π1ρm)g4(t−δ)−v2j0(π2ρm)g3(t−δ)]m1,l+i	NOUN
ejpam-6198	280	3	−(k+l)+l−h(−(νgp+αa0gp+gm	−(k+l)+l−h(−(νgp+αa0gp+gm	PROPN
ejpam-6198	280	4	)	)	PUNCT
ejpam-6198	280	5	,	,	PUNCT
ejpam-6198	280	6	δ)dδ	δ)dδ	PROPN
ejpam-6198	280	7	,	,	PUNCT
ejpam-6198	280	8	(	(	PUNCT
ejpam-6198	280	9	44	44	NUM
ejpam-6198	280	10	)	)	PUNCT
ejpam-6198	280	11	m.	m.	NOUN
ejpam-6198	280	12	zafarullah	zafarullah	PROPN
ejpam-6198	280	13	et	et	PROPN
ejpam-6198	280	14	al	al	PROPN
ejpam-6198	280	15	.	.	PUNCT
ejpam-6198	280	16	/	/	SYM
ejpam-6198	280	17	eur	eur	PROPN
ejpam-6198	280	18	.	.	PUNCT
ejpam-6198	281	1	j.	j.	PROPN
ejpam-6198	281	2	pure	pure	PROPN
ejpam-6198	281	3	appl	appl	PROPN
ejpam-6198	281	4	.	.	PROPN
ejpam-6198	281	5	math	math	PROPN
ejpam-6198	281	6	,	,	PUNCT
ejpam-6198	281	7	18	18	NUM
ejpam-6198	281	8	(	(	PUNCT
ejpam-6198	281	9	4	4	NUM
ejpam-6198	281	10	)	)	PUNCT
ejpam-6198	281	11	(	(	PUNCT
ejpam-6198	281	12	2025	2025	NUM
ejpam-6198	281	13	)	)	PUNCT
ejpam-6198	281	14	,	,	PUNCT
ejpam-6198	281	15	6198	6198	NUM
ejpam-6198	281	16	17	17	NUM
ejpam-6198	281	17	of	of	ADP
ejpam-6198	281	18	41	41	NUM
ejpam-6198	281	19	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	281	20	,	,	PUNCT
ejpam-6198	281	21	t	t	PROPN
ejpam-6198	281	22	)	)	PUNCT
ejpam-6198	281	23	=	=	SYM
ejpam-6198	282	1	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	282	2	(	(	PUNCT
ejpam-6198	282	3	π2	π2	ADJ
ejpam-6198	282	4	2	2	NUM
ejpam-6198	282	5	−π2	−π2	NOUN
ejpam-6198	282	6	1)ρ	1)ρ	NUM
ejpam-6198	282	7	2	2	NUM
ejpam-6198	283	1	[	[	X
ejpam-6198	283	2	u2g2(t)π1−u1g1(t)π2][µ+αao]−	u2g2(t)π1−u1g1(t)π2][µ+αao]−	X
ejpam-6198	283	3	h(t)αa0	h(t)αa0	NOUN
ejpam-6198	283	4	(	(	PUNCT
ejpam-6198	283	5	π2	π2	ADJ
ejpam-6198	283	6	2	2	NUM
ejpam-6198	283	7	−π2	−π2	NOUN
ejpam-6198	283	8	1)ρ	1)ρ	NUM
ejpam-6198	283	9	2	2	NUM
ejpam-6198	283	10	∫	∫	NOUN
ejpam-6198	283	11	t	t	NOUN
ejpam-6198	283	12	0	0	NUM
ejpam-6198	284	1	[	[	X
ejpam-6198	284	2	u2π1g2(t−	u2π1g2(t−	ADJ
ejpam-6198	284	3	δ	δ	PROPN
ejpam-6198	284	4	)	)	PUNCT
ejpam-6198	284	5	−u1π2g1(t−	−u1π2g1(t−	PROPN
ejpam-6198	284	6	δ)]e−a1tdδ	δ)]e−a1tdδ	PROPN
ejpam-6198	284	7	+	+	CCONJ
ejpam-6198	284	8	πh(t	πh(t	X
ejpam-6198	284	9	)	)	PUNCT
ejpam-6198	284	10	∞∑	∞∑	NUM
ejpam-6198	284	11	n=1	n=1	PROPN
ejpam-6198	284	12	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	284	13	,	,	PUNCT
ejpam-6198	284	14	ρn	ρn	NUM
ejpam-6198	284	15	)	)	PUNCT
ejpam-6198	284	16	j2	j2	NOUN
ejpam-6198	284	17	1	1	NUM
ejpam-6198	284	18	(	(	PUNCT
ejpam-6198	284	19	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	284	20	j2	j2	PROPN
ejpam-6198	284	21	1	1	NUM
ejpam-6198	284	22	(	(	PUNCT
ejpam-6198	284	23	π2ρn	π2ρn	ADV
ejpam-6198	284	24	)	)	PUNCT
ejpam-6198	285	1	∞∑	∞∑	PROPN
ejpam-6198	285	2	i=0	i=0	PROPN
ejpam-6198	285	3	(	(	PUNCT
ejpam-6198	285	4	−νρ2n	−νρ2n	X
ejpam-6198	285	5	)	)	PUNCT
ejpam-6198	285	6	i	i	PRON
ejpam-6198	285	7	×	×	VERB
ejpam-6198	285	8	i∑	i∑	NUM
ejpam-6198	285	9	j=0	j=0	PROPN
ejpam-6198	285	10	i	i	PRON
ejpam-6198	285	11	!	!	PUNCT
ejpam-6198	285	12	j!(i−	j!(i−	PROPN
ejpam-6198	285	13	j	j	NOUN
ejpam-6198	285	14	)	)	PUNCT
ejpam-6198	285	15	!	!	PUNCT
ejpam-6198	286	1	(	(	PUNCT
ejpam-6198	286	2	αa0	αa0	PROPN
ejpam-6198	286	3	ν	ν	NOUN
ejpam-6198	286	4	)	)	PUNCT
ejpam-6198	286	5	j	j	PROPN
ejpam-6198	286	6	∞∑	∞∑	PROPN
ejpam-6198	286	7	k=0	k=0	PROPN
ejpam-6198	286	8	(	(	PUNCT
ejpam-6198	286	9	i−	i−	PROPN
ejpam-6198	286	10	j	j	PROPN
ejpam-6198	286	11	)	)	PUNCT
ejpam-6198	286	12	!	!	PUNCT
ejpam-6198	287	1	k!(i−	k!(i−	PROPN
ejpam-6198	288	1	j	j	PROPN
ejpam-6198	289	1	−	−	PROPN
ejpam-6198	289	2	k	k	PROPN
ejpam-6198	289	3	)	)	PUNCT
ejpam-6198	289	4	!	!	PUNCT
ejpam-6198	290	1	ak1	ak1	NOUN
ejpam-6198	290	2	∞∑	∞∑	NUM
ejpam-6198	290	3	l=0	l=0	PROPN
ejpam-6198	290	4	(	(	PUNCT
ejpam-6198	290	5	−a1	−a1	PROPN
ejpam-6198	290	6	)	)	PUNCT
ejpam-6198	290	7	l	l	NOUN
ejpam-6198	290	8	l∑	l∑	PUNCT
ejpam-6198	291	1	h=0	h=0	PROPN
ejpam-6198	291	2	l	l	NOUN
ejpam-6198	291	3	!	!	NOUN
ejpam-6198	291	4	h!(l	h!(l	X
ejpam-6198	292	1	−	−	NUM
ejpam-6198	292	2	h	h	NOUN
ejpam-6198	292	3	)	)	PUNCT
ejpam-6198	292	4	!	!	PUNCT
ejpam-6198	293	1	(	(	PUNCT
ejpam-6198	293	2	νa1gp	νa1gp	NOUN
ejpam-6198	294	1	+	+	CCONJ
ejpam-6198	294	2	a1gm)h	a1gm)h	PROPN
ejpam-6198	294	3	×	×	NOUN
ejpam-6198	294	4	∫	∫	NOUN
ejpam-6198	294	5	t	t	NOUN
ejpam-6198	294	6	0	0	NUM
ejpam-6198	295	1	[	[	X
ejpam-6198	295	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	295	3	δ)−	δ)−	PROPN
ejpam-6198	295	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	295	5	δ	δ	PROPN
ejpam-6198	295	6	)	)	PUNCT
ejpam-6198	295	7	]	]	PUNCT
ejpam-6198	296	1	[	[	X
ejpam-6198	296	2	(	(	PUNCT
ejpam-6198	296	3	µ+	µ+	X
ejpam-6198	296	4	αa0	αa0	PROPN
ejpam-6198	296	5	)	)	PUNCT
ejpam-6198	296	6	×m1,l+i	×m1,l+i	NOUN
ejpam-6198	296	7	−(k+l)+l−h(−(νgp+αaogp+gm	−(k+l)+l−h(−(νgp+αaogp+gm	PROPN
ejpam-6198	296	8	)	)	PUNCT
ejpam-6198	296	9	,	,	PUNCT
ejpam-6198	296	10	δ)+µa1m1,l+i	δ)+µa1m1,l+i	PROPN
ejpam-6198	296	11	−(1+k+l)+l−h(−(νgp+αaogp+gm	−(1+k+l)+l−h(−(νgp+αaogp+gm	PROPN
ejpam-6198	296	12	)	)	PUNCT
ejpam-6198	296	13	,	,	PUNCT
ejpam-6198	296	14	δ	δ	PROPN
ejpam-6198	296	15	)	)	PUNCT
ejpam-6198	296	16	]	]	PUNCT
ejpam-6198	297	1	dδ	dδ	ADP
ejpam-6198	297	2	,	,	PUNCT
ejpam-6198	297	3	(	(	PUNCT
ejpam-6198	297	4	45	45	NUM
ejpam-6198	297	5	)	)	PUNCT
ejpam-6198	297	6	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	297	7	,	,	PUNCT
ejpam-6198	297	8	t	t	PROPN
ejpam-6198	297	9	)	)	PUNCT
ejpam-6198	297	10	=	=	SYM
ejpam-6198	297	11	h(t	h(t	PROPN
ejpam-6198	297	12	)	)	PUNCT
ejpam-6198	297	13	ρ	ρ	PROPN
ejpam-6198	297	14	ln(π2	ln(π2	NOUN
ejpam-6198	297	15	/	/	SYM
ejpam-6198	297	16	π1	π1	NOUN
ejpam-6198	297	17	)	)	PUNCT
ejpam-6198	298	1	[	[	X
ejpam-6198	298	2	v2g4(t)−v1g3(t)](µ+αao)−	v2g4(t)−v1g3(t)](µ+αao)−	ADP
ejpam-6198	298	3	h(t)αa0	h(t)αa0	NOUN
ejpam-6198	298	4	ρ	ρ	NOUN
ejpam-6198	298	5	ln(π2	ln(π2	NOUN
ejpam-6198	298	6	/	/	SYM
ejpam-6198	298	7	π1	π1	NOUN
ejpam-6198	298	8	)	)	PUNCT
ejpam-6198	298	9	∫	∫	PROPN
ejpam-6198	299	1	t	t	NOUN
ejpam-6198	299	2	0	0	NUM
ejpam-6198	300	1	[	[	X
ejpam-6198	300	2	v2g4(t−δ)−v1g3(t−δ	v2g4(t−δ)−v1g3(t−δ	NOUN
ejpam-6198	300	3	)	)	PUNCT
ejpam-6198	300	4	]	]	PUNCT
ejpam-6198	300	5	×e−a1tdδ	×e−a1tdδ	X
ejpam-6198	301	1	+	+	CCONJ
ejpam-6198	301	2	πh(t	πh(t	X
ejpam-6198	301	3	)	)	PUNCT
ejpam-6198	302	1	∞∑	∞∑	PRON
ejpam-6198	302	2	m=1	m=1	PROPN
ejpam-6198	302	3	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	302	4	,	,	PUNCT
ejpam-6198	302	5	ρm	ρm	PROPN
ejpam-6198	302	6	)	)	PUNCT
ejpam-6198	302	7	j2	j2	NOUN
ejpam-6198	302	8	0	0	NUM
ejpam-6198	303	1	(	(	PUNCT
ejpam-6198	303	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	303	3	j2	j2	NOUN
ejpam-6198	303	4	0	0	NUM
ejpam-6198	303	5	(	(	PUNCT
ejpam-6198	303	6	π2ρm	π2ρm	X
ejpam-6198	303	7	)	)	PUNCT
ejpam-6198	303	8	∞∑	∞∑	PROPN
ejpam-6198	303	9	i=0	i=0	PROPN
ejpam-6198	303	10	(	(	PUNCT
ejpam-6198	303	11	−νρ2n	−νρ2n	X
ejpam-6198	303	12	)	)	PUNCT
ejpam-6198	303	13	i	i	PRON
ejpam-6198	303	14	i∑	i∑	NUM
ejpam-6198	303	15	j=0	j=0	PROPN
ejpam-6198	303	16	i	i	PRON
ejpam-6198	303	17	!	!	PUNCT
ejpam-6198	303	18	j!(i−	j!(i−	PROPN
ejpam-6198	303	19	j	j	NOUN
ejpam-6198	303	20	)	)	PUNCT
ejpam-6198	303	21	!	!	PUNCT
ejpam-6198	304	1	(	(	PUNCT
ejpam-6198	304	2	αa0	αa0	PROPN
ejpam-6198	304	3	ν	ν	X
ejpam-6198	304	4	)	)	PUNCT
ejpam-6198	305	1	j	j	PROPN
ejpam-6198	305	2	×	×	NOUN
ejpam-6198	305	3	∞∑	∞∑	PROPN
ejpam-6198	305	4	k=0	k=0	PROPN
ejpam-6198	305	5	(	(	PUNCT
ejpam-6198	305	6	i−	i−	PROPN
ejpam-6198	305	7	j	j	PROPN
ejpam-6198	305	8	)	)	PUNCT
ejpam-6198	305	9	!	!	PUNCT
ejpam-6198	306	1	k!(i−	k!(i−	PROPN
ejpam-6198	307	1	j	j	PROPN
ejpam-6198	308	1	−	−	PROPN
ejpam-6198	308	2	k	k	PROPN
ejpam-6198	308	3	)	)	PUNCT
ejpam-6198	308	4	!	!	PUNCT
ejpam-6198	309	1	ak1	ak1	NOUN
ejpam-6198	309	2	∞∑	∞∑	NUM
ejpam-6198	309	3	l=0	l=0	PROPN
ejpam-6198	309	4	(	(	PUNCT
ejpam-6198	309	5	−a1	−a1	PROPN
ejpam-6198	309	6	)	)	PUNCT
ejpam-6198	309	7	l	l	NOUN
ejpam-6198	309	8	l∑	l∑	PUNCT
ejpam-6198	310	1	h=0	h=0	PROPN
ejpam-6198	310	2	l	l	NOUN
ejpam-6198	310	3	!	!	NOUN
ejpam-6198	310	4	h!(l	h!(l	X
ejpam-6198	311	1	−	−	NUM
ejpam-6198	311	2	h	h	NOUN
ejpam-6198	311	3	)	)	PUNCT
ejpam-6198	311	4	!	!	PUNCT
ejpam-6198	312	1	(	(	PUNCT
ejpam-6198	312	2	νa1gp	νa1gp	NOUN
ejpam-6198	313	1	+	+	CCONJ
ejpam-6198	313	2	a1gm)h	a1gm)h	PROPN
ejpam-6198	313	3	×	×	NOUN
ejpam-6198	313	4	∫	∫	NOUN
ejpam-6198	313	5	t	t	NOUN
ejpam-6198	313	6	0	0	NUM
ejpam-6198	314	1	[	[	X
ejpam-6198	314	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	314	3	δ)−	δ)−	PROPN
ejpam-6198	314	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	314	5	δ	δ	PROPN
ejpam-6198	314	6	)	)	PUNCT
ejpam-6198	314	7	]	]	PUNCT
ejpam-6198	315	1	[	[	X
ejpam-6198	315	2	(	(	PUNCT
ejpam-6198	315	3	µ+	µ+	X
ejpam-6198	315	4	αa0	αa0	PROPN
ejpam-6198	315	5	)	)	PUNCT
ejpam-6198	315	6	×m1,l+i	×m1,l+i	NOUN
ejpam-6198	315	7	−1(k+l)+l−h(−(νgp+αaogp+gm	−1(k+l)+l−h(−(νgp+αaogp+gm	PROPN
ejpam-6198	315	8	)	)	PUNCT
ejpam-6198	315	9	,	,	PUNCT
ejpam-6198	315	10	δ)+µa1m1,l+i	δ)+µa1m1,l+i	PROPN
ejpam-6198	315	11	−1(1+k+l)+l−h(−(νgp+αaogp+gm	−1(1+k+l)+l−h(−(νgp+αaogp+gm	PROPN
ejpam-6198	315	12	)	)	PUNCT
ejpam-6198	315	13	,	,	PUNCT
ejpam-6198	315	14	δ	δ	PROPN
ejpam-6198	315	15	)	)	PUNCT
ejpam-6198	315	16	]	]	PUNCT
ejpam-6198	316	1	dδ	dδ	ADP
ejpam-6198	316	2	.	.	PUNCT
ejpam-6198	317	1	(	(	PUNCT
ejpam-6198	317	2	46	46	NUM
ejpam-6198	317	3	)	)	PUNCT
ejpam-6198	317	4	if	if	SCONJ
ejpam-6198	317	5	we	we	PRON
ejpam-6198	317	6	take	take	VERB
ejpam-6198	317	7	v(π1	v(π1	PROPN
ejpam-6198	317	8	,	,	PUNCT
ejpam-6198	317	9	t	t	PROPN
ejpam-6198	317	10	)	)	PUNCT
ejpam-6198	317	11	=	=	PUNCT
ejpam-6198	317	12	v1sin(ω1	v1sin(ω1	ADP
ejpam-6198	317	13	t	t	NUM
ejpam-6198	317	14	)	)	PUNCT
ejpam-6198	317	15	,	,	PUNCT
ejpam-6198	317	16	and	and	CCONJ
ejpam-6198	317	17	v(π2	v(π2	NOUN
ejpam-6198	317	18	,	,	PUNCT
ejpam-6198	317	19	t	t	PROPN
ejpam-6198	317	20	)	)	PUNCT
ejpam-6198	317	21	=	=	PUNCT
ejpam-6198	318	1	v2sin(ω2	v2sin(ω2	NOUN
ejpam-6198	318	2	t	t	NOUN
ejpam-6198	318	3	)	)	PUNCT
ejpam-6198	318	4	,	,	PUNCT
ejpam-6198	318	5	then	then	ADV
ejpam-6198	318	6	the	the	DET
ejpam-6198	318	7	solutions	solution	NOUN
ejpam-6198	318	8	given	give	VERB
ejpam-6198	318	9	by	by	ADP
ejpam-6198	318	10	eqs.(44	eqs.(44	PROPN
ejpam-6198	318	11	)	)	PUNCT
ejpam-6198	318	12	and	and	CCONJ
ejpam-6198	318	13	(	(	PUNCT
ejpam-6198	318	14	46	46	NUM
ejpam-6198	318	15	)	)	PUNCT
ejpam-6198	318	16	are	be	AUX
ejpam-6198	318	17	equivalent	equivalent	ADJ
ejpam-6198	318	18	to	to	ADP
ejpam-6198	318	19	those	those	PRON
ejpam-6198	318	20	obtained	obtain	VERB
ejpam-6198	318	21	by	by	ADP
ejpam-6198	318	22	[	[	X
ejpam-6198	318	23	42	42	NUM
ejpam-6198	318	24	]	]	PUNCT
ejpam-6198	318	25	in	in	ADP
ejpam-6198	318	26	eqs	eqs	PROPN
ejpam-6198	318	27	.	.	PUNCT
ejpam-6198	319	1	(	(	PUNCT
ejpam-6198	319	2	28	28	NUM
ejpam-6198	319	3	)	)	PUNCT
ejpam-6198	319	4	and	and	CCONJ
ejpam-6198	319	5	(	(	PUNCT
ejpam-6198	319	6	29	29	NUM
ejpam-6198	319	7	)	)	PUNCT
ejpam-6198	319	8	.	.	PUNCT
ejpam-6198	320	1	m.	m.	NOUN
ejpam-6198	320	2	zafarullah	zafarullah	PROPN
ejpam-6198	320	3	et	et	PROPN
ejpam-6198	320	4	al	al	PROPN
ejpam-6198	320	5	.	.	PUNCT
ejpam-6198	320	6	/	/	SYM
ejpam-6198	320	7	eur	eur	PROPN
ejpam-6198	320	8	.	.	PUNCT
ejpam-6198	321	1	j.	j.	PROPN
ejpam-6198	321	2	pure	pure	PROPN
ejpam-6198	321	3	appl	appl	PROPN
ejpam-6198	321	4	.	.	PROPN
ejpam-6198	321	5	math	math	PROPN
ejpam-6198	321	6	,	,	PUNCT
ejpam-6198	321	7	18	18	NUM
ejpam-6198	321	8	(	(	PUNCT
ejpam-6198	321	9	4	4	NUM
ejpam-6198	321	10	)	)	PUNCT
ejpam-6198	321	11	(	(	PUNCT
ejpam-6198	321	12	2025	2025	NUM
ejpam-6198	321	13	)	)	PUNCT
ejpam-6198	321	14	,	,	PUNCT
ejpam-6198	321	15	6198	6198	NUM
ejpam-6198	321	16	18	18	NUM
ejpam-6198	321	17	of	of	ADP
ejpam-6198	321	18	41	41	NUM
ejpam-6198	321	19	5.2	5.2	NUM
ejpam-6198	321	20	.	.	PUNCT
ejpam-6198	322	1	newtonian	newtonian	ADJ
ejpam-6198	322	2	fluid	fluid	NOUN
ejpam-6198	322	3	with	with	ADP
ejpam-6198	322	4	porous	porous	ADJ
ejpam-6198	322	5	and	and	CCONJ
ejpam-6198	322	6	magnetic	magnetic	ADJ
ejpam-6198	322	7	effect	effect	NOUN
ejpam-6198	322	8	(	(	PUNCT
ejpam-6198	322	9	α	α	NOUN
ejpam-6198	322	10	→	→	SYM
ejpam-6198	322	11	0	0	NUM
ejpam-6198	322	12	)	)	PUNCT
ejpam-6198	322	13	by	by	ADP
ejpam-6198	322	14	assuming	assume	VERB
ejpam-6198	322	15	α	α	PROPN
ejpam-6198	322	16	→	→	SYM
ejpam-6198	322	17	0	0	NUM
ejpam-6198	322	18	in	in	ADP
ejpam-6198	322	19	eqs	eqs	PROPN
ejpam-6198	322	20	.	.	PUNCT
ejpam-6198	323	1	(	(	PUNCT
ejpam-6198	323	2	35	35	NUM
ejpam-6198	323	3	)	)	PUNCT
ejpam-6198	323	4	,	,	PUNCT
ejpam-6198	323	5	(	(	PUNCT
ejpam-6198	323	6	36	36	NUM
ejpam-6198	323	7	)	)	PUNCT
ejpam-6198	323	8	,	,	PUNCT
ejpam-6198	323	9	(	(	PUNCT
ejpam-6198	323	10	41	41	NUM
ejpam-6198	323	11	)	)	PUNCT
ejpam-6198	323	12	and	and	CCONJ
ejpam-6198	323	13	(	(	PUNCT
ejpam-6198	323	14	42	42	NUM
ejpam-6198	323	15	)	)	PUNCT
ejpam-6198	323	16	,	,	PUNCT
ejpam-6198	323	17	we	we	PRON
ejpam-6198	323	18	acquire	acquire	VERB
ejpam-6198	323	19	outcomes	outcome	NOUN
ejpam-6198	323	20	for	for	ADP
ejpam-6198	323	21	newtonian	newtonian	ADJ
ejpam-6198	323	22	fluid	fluid	NOUN
ejpam-6198	323	23	with	with	ADP
ejpam-6198	323	24	porous	porous	ADJ
ejpam-6198	323	25	and	and	CCONJ
ejpam-6198	323	26	magnetic	magnetic	ADJ
ejpam-6198	323	27	effect	effect	NOUN
ejpam-6198	323	28	.	.	PUNCT
ejpam-6198	324	1	w	w	X
ejpam-6198	324	2	=	=	PUNCT
ejpam-6198	324	3	h(t	h(t	PROPN
ejpam-6198	324	4	)	)	PUNCT
ejpam-6198	324	5	(	(	PUNCT
ejpam-6198	324	6	π2	π2	ADP
ejpam-6198	324	7	2	2	NUM
ejpam-6198	324	8	−π2	−π2	NOUN
ejpam-6198	324	9	1)ρ	1)ρ	NOUN
ejpam-6198	324	10	[	[	PUNCT
ejpam-6198	324	11	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	324	12	2	2	NUM
ejpam-6198	324	13	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	324	14	2−π2	2−π2	NUM
ejpam-6198	324	15	1	1	NUM
ejpam-6198	324	16	)	)	PUNCT
ejpam-6198	324	17	]	]	PUNCT
ejpam-6198	325	1	−πh(t	−πh(t	X
ejpam-6198	325	2	)	)	PUNCT
ejpam-6198	325	3	∞∑	∞∑	PROPN
ejpam-6198	325	4	n=1	n=1	PROPN
ejpam-6198	325	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	325	6	,	,	PUNCT
ejpam-6198	325	7	ρn	ρn	PROPN
ejpam-6198	325	8	)	)	PUNCT
ejpam-6198	325	9	j2	j2	NOUN
ejpam-6198	325	10	1	1	NUM
ejpam-6198	325	11	(	(	PUNCT
ejpam-6198	325	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	325	13	j2	j2	PROPN
ejpam-6198	325	14	1	1	NUM
ejpam-6198	325	15	(	(	PUNCT
ejpam-6198	325	16	π2ρn	π2ρn	PROPN
ejpam-6198	325	17	)	)	PUNCT
ejpam-6198	325	18	×	×	NOUN
ejpam-6198	325	19	∞∑	∞∑	PROPN
ejpam-6198	325	20	i=0	i=0	PROPN
ejpam-6198	325	21	(	(	PUNCT
ejpam-6198	325	22	−νρ2n	−νρ2n	X
ejpam-6198	325	23	)	)	PUNCT
ejpam-6198	326	1	i	i	PRON
ejpam-6198	326	2	∫	∫	VERB
ejpam-6198	326	3	t	t	NOUN
ejpam-6198	326	4	0	0	NUM
ejpam-6198	327	1	[	[	X
ejpam-6198	327	2	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,i	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,i	PROPN
ejpam-6198	327	3	0	0	NUM
ejpam-6198	327	4	(	(	PUNCT
ejpam-6198	327	5	−(νgp+gm	−(νgp+gm	PROPN
ejpam-6198	327	6	)	)	PUNCT
ejpam-6198	327	7	,	,	PUNCT
ejpam-6198	327	8	δ)dδ	δ)dδ	PROPN
ejpam-6198	327	9	,	,	PUNCT
ejpam-6198	327	10	(	(	PUNCT
ejpam-6198	327	11	47	47	NUM
ejpam-6198	327	12	)	)	PUNCT
ejpam-6198	327	13	v	v	NOUN
ejpam-6198	327	14	=	=	SYM
ejpam-6198	327	15	h(t	h(t	NUM
ejpam-6198	327	16	)	)	PUNCT
ejpam-6198	327	17	ln(π2	ln(π2	NOUN
ejpam-6198	327	18	/	/	SYM
ejpam-6198	327	19	π1	π1	NOUN
ejpam-6198	327	20	)	)	PUNCT
ejpam-6198	327	21	[	[	PUNCT
ejpam-6198	327	22	v1g3(t	v1g3(t	X
ejpam-6198	327	23	)	)	PUNCT
ejpam-6198	327	24	ln(π2	ln(π2	NOUN
ejpam-6198	327	25	/	/	SYM
ejpam-6198	327	26	ρ	ρ	NOUN
ejpam-6198	327	27	)	)	PUNCT
ejpam-6198	327	28	+	+	CCONJ
ejpam-6198	327	29	v2g4(t	v2g4(t	PROPN
ejpam-6198	327	30	)	)	PUNCT
ejpam-6198	327	31	ln(ρ	ln(ρ	PUNCT
ejpam-6198	327	32	/	/	SYM
ejpam-6198	327	33	π1	π1	NOUN
ejpam-6198	327	34	)	)	PUNCT
ejpam-6198	327	35	]	]	PUNCT
ejpam-6198	328	1	−	−	PROPN
ejpam-6198	328	2	πh(t	πh(t	PUNCT
ejpam-6198	328	3	)	)	PUNCT
ejpam-6198	329	1	∞∑	∞∑	NUM
ejpam-6198	329	2	n=1	n=1	PROPN
ejpam-6198	329	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	329	4	,	,	PUNCT
ejpam-6198	329	5	ρm	ρm	PROPN
ejpam-6198	329	6	)	)	PUNCT
ejpam-6198	329	7	j2	j2	NOUN
ejpam-6198	329	8	0	0	NUM
ejpam-6198	330	1	(	(	PUNCT
ejpam-6198	330	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	330	3	j2	j2	NOUN
ejpam-6198	330	4	0	0	NUM
ejpam-6198	330	5	(	(	PUNCT
ejpam-6198	330	6	π2ρm	π2ρm	X
ejpam-6198	330	7	)	)	PUNCT
ejpam-6198	330	8	×	×	NOUN
ejpam-6198	330	9	∞∑	∞∑	PROPN
ejpam-6198	330	10	i=0	i=0	PROPN
ejpam-6198	330	11	(	(	PUNCT
ejpam-6198	330	12	−νρ2m)i	−νρ2m)i	NUM
ejpam-6198	330	13	∫	∫	PROPN
ejpam-6198	330	14	t	t	NOUN
ejpam-6198	330	15	0	0	NUM
ejpam-6198	331	1	[	[	X
ejpam-6198	331	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	PROPN
ejpam-6198	331	3	δ)−	δ)−	PROPN
ejpam-6198	331	4	u1j1(π2ρm)g1(t−	u1j1(π2ρm)g1(t−	PROPN
ejpam-6198	331	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	331	6	0	0	NUM
ejpam-6198	331	7	(	(	PUNCT
ejpam-6198	331	8	−(νgp	−(νgp	PROPN
ejpam-6198	331	9	+	+	PROPN
ejpam-6198	331	10	gm	gm	PROPN
ejpam-6198	331	11	)	)	PUNCT
ejpam-6198	331	12	,	,	PUNCT
ejpam-6198	331	13	δ)dδ	δ)dδ	PROPN
ejpam-6198	331	14	,	,	PUNCT
ejpam-6198	331	15	(	(	PUNCT
ejpam-6198	331	16	48	48	NUM
ejpam-6198	331	17	)	)	PUNCT
ejpam-6198	331	18	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	331	19	,	,	PUNCT
ejpam-6198	331	20	t	t	PROPN
ejpam-6198	331	21	)	)	PUNCT
ejpam-6198	331	22	=	=	SYM
ejpam-6198	331	23	2π1π2	2π1π2	NUM
ejpam-6198	331	24	(	(	PUNCT
ejpam-6198	331	25	π2	π2	PROPN
ejpam-6198	331	26	2	2	NUM
ejpam-6198	331	27	−π2	−π2	NOUN
ejpam-6198	331	28	1)ρ	1)ρ	NUM
ejpam-6198	331	29	2	2	NUM
ejpam-6198	331	30	h(t)[u2g2(t)π1−u1g1(t)π2]µ+πµh(t	h(t)[u2g2(t)π1−u1g1(t)π2]µ+πµh(t	NOUN
ejpam-6198	331	31	)	)	PUNCT
ejpam-6198	331	32	∞∑	∞∑	NUM
ejpam-6198	331	33	n=1	n=1	PROPN
ejpam-6198	331	34	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	331	35	,	,	PUNCT
ejpam-6198	331	36	ρn	ρn	NUM
ejpam-6198	331	37	)	)	PUNCT
ejpam-6198	331	38	j2	j2	NOUN
ejpam-6198	331	39	1	1	NUM
ejpam-6198	331	40	(	(	PUNCT
ejpam-6198	331	41	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	331	42	j2	j2	PROPN
ejpam-6198	331	43	1	1	NUM
ejpam-6198	331	44	(	(	PUNCT
ejpam-6198	331	45	π2ρn	π2ρn	PROPN
ejpam-6198	331	46	)	)	PUNCT
ejpam-6198	331	47	×	×	NOUN
ejpam-6198	331	48	∞∑	∞∑	PROPN
ejpam-6198	331	49	i=0	i=0	PROPN
ejpam-6198	331	50	(	(	PUNCT
ejpam-6198	331	51	−νρ2n	−νρ2n	X
ejpam-6198	331	52	)	)	PUNCT
ejpam-6198	332	1	i	i	PRON
ejpam-6198	332	2	∫	∫	VERB
ejpam-6198	332	3	t	t	NOUN
ejpam-6198	332	4	0	0	NUM
ejpam-6198	333	1	[	[	X
ejpam-6198	333	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	333	3	δ)−	δ)−	PROPN
ejpam-6198	333	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	333	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	333	6	0	0	NUM
ejpam-6198	333	7	(	(	PUNCT
ejpam-6198	333	8	−(νgp	−(νgp	PROPN
ejpam-6198	333	9	+	+	PROPN
ejpam-6198	333	10	gm	gm	PROPN
ejpam-6198	333	11	)	)	PUNCT
ejpam-6198	333	12	,	,	PUNCT
ejpam-6198	333	13	δ)dδ	δ)dδ	PROPN
ejpam-6198	333	14	,	,	PUNCT
ejpam-6198	333	15	(	(	PUNCT
ejpam-6198	333	16	49	49	NUM
ejpam-6198	333	17	)	)	PUNCT
ejpam-6198	333	18	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	333	19	,	,	PUNCT
ejpam-6198	333	20	t	t	PROPN
ejpam-6198	333	21	)	)	PUNCT
ejpam-6198	333	22	=	=	SYM
ejpam-6198	333	23	h(t	h(t	PROPN
ejpam-6198	333	24	)	)	PUNCT
ejpam-6198	333	25	ρ	ρ	PROPN
ejpam-6198	333	26	ln(π2	ln(π2	NOUN
ejpam-6198	333	27	/	/	SYM
ejpam-6198	333	28	π1	π1	NOUN
ejpam-6198	333	29	)	)	PUNCT
ejpam-6198	334	1	[	[	X
ejpam-6198	334	2	v2g4(t)−	v2g4(t)−	NOUN
ejpam-6198	334	3	v1g3(t)]µ+	v1g3(t)]µ+	NOUN
ejpam-6198	334	4	πµh(t	πµh(t	PRON
ejpam-6198	334	5	)	)	PUNCT
ejpam-6198	334	6	∞∑	∞∑	PRON
ejpam-6198	334	7	m=1	m=1	PROPN
ejpam-6198	334	8	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	334	9	,	,	PUNCT
ejpam-6198	334	10	ρm	ρm	PROPN
ejpam-6198	334	11	)	)	PUNCT
ejpam-6198	334	12	j2	j2	NOUN
ejpam-6198	334	13	0	0	NUM
ejpam-6198	335	1	(	(	PUNCT
ejpam-6198	335	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	335	3	j2	j2	NOUN
ejpam-6198	335	4	0	0	NUM
ejpam-6198	335	5	(	(	PUNCT
ejpam-6198	335	6	π2ρm	π2ρm	X
ejpam-6198	335	7	)	)	PUNCT
ejpam-6198	335	8	×	×	NOUN
ejpam-6198	335	9	∞∑	∞∑	PROPN
ejpam-6198	335	10	i=0	i=0	PROPN
ejpam-6198	335	11	(	(	PUNCT
ejpam-6198	335	12	−νρ2n	−νρ2n	X
ejpam-6198	335	13	)	)	PUNCT
ejpam-6198	336	1	i	i	PRON
ejpam-6198	336	2	∫	∫	VERB
ejpam-6198	336	3	t	t	NOUN
ejpam-6198	336	4	0	0	NUM
ejpam-6198	337	1	[	[	X
ejpam-6198	337	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	PROPN
ejpam-6198	337	3	δ)−	δ)−	PROPN
ejpam-6198	337	4	u1j1(π2ρm)g1(t−	u1j1(π2ρm)g1(t−	PROPN
ejpam-6198	337	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	337	6	0	0	NUM
ejpam-6198	337	7	(	(	PUNCT
ejpam-6198	337	8	−(νgp	−(νgp	PROPN
ejpam-6198	337	9	+	+	PROPN
ejpam-6198	337	10	gm	gm	PROPN
ejpam-6198	337	11	)	)	PUNCT
ejpam-6198	337	12	,	,	PUNCT
ejpam-6198	337	13	δ)dδ	δ)dδ	PROPN
ejpam-6198	337	14	.	.	PUNCT
ejpam-6198	338	1	(	(	PUNCT
ejpam-6198	338	2	50	50	NUM
ejpam-6198	338	3	)	)	PUNCT
ejpam-6198	338	4	m.	m.	NOUN
ejpam-6198	338	5	zafarullah	zafarullah	PROPN
ejpam-6198	338	6	et	et	PROPN
ejpam-6198	338	7	al	al	PROPN
ejpam-6198	338	8	.	.	PUNCT
ejpam-6198	338	9	/	/	SYM
ejpam-6198	338	10	eur	eur	PROPN
ejpam-6198	338	11	.	.	PUNCT
ejpam-6198	339	1	j.	j.	PROPN
ejpam-6198	339	2	pure	pure	PROPN
ejpam-6198	339	3	appl	appl	PROPN
ejpam-6198	339	4	.	.	PROPN
ejpam-6198	339	5	math	math	PROPN
ejpam-6198	339	6	,	,	PUNCT
ejpam-6198	339	7	18	18	NUM
ejpam-6198	339	8	(	(	PUNCT
ejpam-6198	339	9	4	4	NUM
ejpam-6198	339	10	)	)	PUNCT
ejpam-6198	339	11	(	(	PUNCT
ejpam-6198	339	12	2025	2025	NUM
ejpam-6198	339	13	)	)	PUNCT
ejpam-6198	339	14	,	,	PUNCT
ejpam-6198	339	15	6198	6198	NUM
ejpam-6198	339	16	19	19	NUM
ejpam-6198	339	17	of	of	ADP
ejpam-6198	339	18	41	41	NUM
ejpam-6198	339	19	5.3	5.3	NUM
ejpam-6198	339	20	.	.	PUNCT
ejpam-6198	339	21	fractionalized	fractionalize	VERB
ejpam-6198	339	22	second	second	ADJ
ejpam-6198	339	23	grade	grade	NOUN
ejpam-6198	339	24	with	with	ADP
ejpam-6198	339	25	porous	porous	ADJ
ejpam-6198	339	26	effect(gm	effect(gm	NOUN
ejpam-6198	339	27	→	→	SYM
ejpam-6198	339	28	0	0	NUM
ejpam-6198	339	29	)	)	PUNCT
ejpam-6198	339	30	by	by	ADP
ejpam-6198	339	31	assuming	assume	VERB
ejpam-6198	339	32	gm	gm	PROPN
ejpam-6198	339	33	→	→	SYM
ejpam-6198	339	34	0	0	NUM
ejpam-6198	339	35	in	in	ADP
ejpam-6198	339	36	eqs	eqs	PROPN
ejpam-6198	339	37	.	.	PUNCT
ejpam-6198	340	1	(	(	PUNCT
ejpam-6198	340	2	35	35	NUM
ejpam-6198	340	3	)	)	PUNCT
ejpam-6198	340	4	,	,	PUNCT
ejpam-6198	340	5	(	(	PUNCT
ejpam-6198	340	6	36	36	NUM
ejpam-6198	340	7	)	)	PUNCT
ejpam-6198	340	8	,	,	PUNCT
ejpam-6198	340	9	(	(	PUNCT
ejpam-6198	340	10	41	41	NUM
ejpam-6198	340	11	)	)	PUNCT
ejpam-6198	340	12	and	and	CCONJ
ejpam-6198	340	13	(	(	PUNCT
ejpam-6198	340	14	42	42	NUM
ejpam-6198	340	15	)	)	PUNCT
ejpam-6198	340	16	,	,	PUNCT
ejpam-6198	340	17	so	so	SCONJ
ejpam-6198	340	18	we	we	PRON
ejpam-6198	340	19	acquire	acquire	VERB
ejpam-6198	340	20	the	the	DET
ejpam-6198	340	21	outcomes	outcome	NOUN
ejpam-6198	340	22	for	for	ADP
ejpam-6198	340	23	second	second	ADJ
ejpam-6198	340	24	grade	grade	NOUN
ejpam-6198	340	25	with	with	ADP
ejpam-6198	340	26	porous	porous	ADJ
ejpam-6198	340	27	effect	effect	NOUN
ejpam-6198	340	28	w	w	ADP
ejpam-6198	340	29	=	=	PUNCT
ejpam-6198	340	30	h(t	h(t	PROPN
ejpam-6198	340	31	)	)	PUNCT
ejpam-6198	340	32	(	(	PUNCT
ejpam-6198	340	33	π2	π2	ADP
ejpam-6198	340	34	2	2	NUM
ejpam-6198	340	35	−π2	−π2	NOUN
ejpam-6198	340	36	1)ρ	1)ρ	NOUN
ejpam-6198	340	37	[	[	PUNCT
ejpam-6198	340	38	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	340	39	2	2	NUM
ejpam-6198	340	40	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	340	41	2−π2	2−π2	NUM
ejpam-6198	340	42	1	1	NUM
ejpam-6198	340	43	)	)	PUNCT
ejpam-6198	340	44	]	]	PUNCT
ejpam-6198	341	1	−πh(t	−πh(t	X
ejpam-6198	341	2	)	)	PUNCT
ejpam-6198	341	3	∞∑	∞∑	PROPN
ejpam-6198	341	4	n=1	n=1	PROPN
ejpam-6198	341	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	341	6	,	,	PUNCT
ejpam-6198	341	7	ρn	ρn	PROPN
ejpam-6198	341	8	)	)	PUNCT
ejpam-6198	341	9	j2	j2	NOUN
ejpam-6198	341	10	1	1	NUM
ejpam-6198	341	11	(	(	PUNCT
ejpam-6198	341	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	341	13	j2	j2	PROPN
ejpam-6198	341	14	1	1	NUM
ejpam-6198	341	15	(	(	PUNCT
ejpam-6198	341	16	π2ρn	π2ρn	PROPN
ejpam-6198	341	17	)	)	PUNCT
ejpam-6198	341	18	×	×	NOUN
ejpam-6198	342	1	∞∑	∞∑	PROPN
ejpam-6198	342	2	i=0	i=0	PROPN
ejpam-6198	342	3	(	(	PUNCT
ejpam-6198	342	4	−νρ2n	−νρ2n	X
ejpam-6198	342	5	)	)	PUNCT
ejpam-6198	342	6	i	i	PRON
ejpam-6198	342	7	i∑	i∑	NUM
ejpam-6198	342	8	j=0	j=0	PROPN
ejpam-6198	342	9	i	i	PRON
ejpam-6198	342	10	!	!	PUNCT
ejpam-6198	342	11	j!(i−	j!(i−	PROPN
ejpam-6198	342	12	j	j	NOUN
ejpam-6198	342	13	)	)	PUNCT
ejpam-6198	342	14	!	!	PUNCT
ejpam-6198	343	1	(	(	PUNCT
ejpam-6198	343	2	αβa0	αβa0	PROPN
ejpam-6198	343	3	ν	ν	PROPN
ejpam-6198	343	4	)	)	PUNCT
ejpam-6198	343	5	j	j	PROPN
ejpam-6198	343	6	∞∑	∞∑	PROPN
ejpam-6198	343	7	k=0	k=0	PROPN
ejpam-6198	343	8	(	(	PUNCT
ejpam-6198	343	9	i−	i−	PROPN
ejpam-6198	343	10	j	j	PROPN
ejpam-6198	343	11	)	)	PUNCT
ejpam-6198	343	12	!	!	PUNCT
ejpam-6198	344	1	k!(i−	k!(i−	PROPN
ejpam-6198	345	1	j	j	PROPN
ejpam-6198	346	1	−	−	PROPN
ejpam-6198	346	2	k	k	PROPN
ejpam-6198	346	3	)	)	PUNCT
ejpam-6198	346	4	!	!	PUNCT
ejpam-6198	347	1	ak1	ak1	NOUN
ejpam-6198	347	2	∞∑	∞∑	NUM
ejpam-6198	347	3	l=0	l=0	PROPN
ejpam-6198	347	4	(	(	PUNCT
ejpam-6198	347	5	−a1	−a1	PROPN
ejpam-6198	347	6	)	)	PUNCT
ejpam-6198	347	7	l	l	NOUN
ejpam-6198	347	8	l∑	l∑	PUNCT
ejpam-6198	348	1	h=0	h=0	PROPN
ejpam-6198	348	2	l	l	NOUN
ejpam-6198	348	3	!	!	NOUN
ejpam-6198	348	4	h!(l	h!(l	X
ejpam-6198	349	1	−	−	NUM
ejpam-6198	349	2	h	h	NOUN
ejpam-6198	349	3	)	)	PUNCT
ejpam-6198	349	4	!	!	PUNCT
ejpam-6198	350	1	(	(	PUNCT
ejpam-6198	350	2	νgp	νgp	NOUN
ejpam-6198	350	3	)	)	PUNCT
ejpam-6198	350	4	h	h	NOUN
ejpam-6198	351	1	×	×	NOUN
ejpam-6198	351	2	∫	∫	PROPN
ejpam-6198	351	3	t	t	NOUN
ejpam-6198	351	4	0	0	NUM
ejpam-6198	352	1	[	[	X
ejpam-6198	352	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	352	3	δ)−	δ)−	PROPN
ejpam-6198	352	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	352	5	δ)]m1,l+i	δ)]m1,l+i	PRON
ejpam-6198	352	6	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	NOUN
ejpam-6198	352	7	+	+	CCONJ
ejpam-6198	352	8	αβa0gp	αβa0gp	X
ejpam-6198	352	9	)	)	PUNCT
ejpam-6198	352	10	,	,	PUNCT
ejpam-6198	352	11	δ)dδ	δ)dδ	PROPN
ejpam-6198	352	12	,	,	PUNCT
ejpam-6198	352	13	(	(	PUNCT
ejpam-6198	352	14	51	51	NUM
ejpam-6198	352	15	)	)	PUNCT
ejpam-6198	352	16	v	v	NOUN
ejpam-6198	352	17	=	=	SYM
ejpam-6198	352	18	h(t	h(t	NUM
ejpam-6198	352	19	)	)	PUNCT
ejpam-6198	352	20	ln(π2	ln(π2	NOUN
ejpam-6198	352	21	/	/	SYM
ejpam-6198	352	22	π1	π1	NOUN
ejpam-6198	352	23	)	)	PUNCT
ejpam-6198	352	24	[	[	PUNCT
ejpam-6198	352	25	v1g3(t	v1g3(t	X
ejpam-6198	352	26	)	)	PUNCT
ejpam-6198	352	27	ln(π2	ln(π2	NOUN
ejpam-6198	352	28	/	/	SYM
ejpam-6198	352	29	ρ	ρ	NOUN
ejpam-6198	352	30	)	)	PUNCT
ejpam-6198	352	31	+	+	CCONJ
ejpam-6198	352	32	v2g4(t	v2g4(t	PROPN
ejpam-6198	352	33	)	)	PUNCT
ejpam-6198	352	34	ln(ρ	ln(ρ	PUNCT
ejpam-6198	352	35	/	/	SYM
ejpam-6198	352	36	π1	π1	NOUN
ejpam-6198	352	37	)	)	PUNCT
ejpam-6198	352	38	]	]	PUNCT
ejpam-6198	352	39	−	−	PROPN
ejpam-6198	352	40	πh(t	πh(t	PUNCT
ejpam-6198	352	41	)	)	PUNCT
ejpam-6198	352	42	∞∑	∞∑	NUM
ejpam-6198	352	43	n=1	n=1	PROPN
ejpam-6198	352	44	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	352	45	,	,	PUNCT
ejpam-6198	352	46	ρm	ρm	PROPN
ejpam-6198	352	47	)	)	PUNCT
ejpam-6198	352	48	j2	j2	NOUN
ejpam-6198	352	49	0	0	NUM
ejpam-6198	353	1	(	(	PUNCT
ejpam-6198	353	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	353	3	j2	j2	NOUN
ejpam-6198	353	4	0	0	NUM
ejpam-6198	353	5	(	(	PUNCT
ejpam-6198	353	6	π2ρm	π2ρm	X
ejpam-6198	353	7	)	)	PUNCT
ejpam-6198	353	8	×	×	NOUN
ejpam-6198	353	9	∞∑	∞∑	PROPN
ejpam-6198	353	10	i=0	i=0	PROPN
ejpam-6198	353	11	(	(	PUNCT
ejpam-6198	353	12	−νρ2m)i	−νρ2m)i	ADV
ejpam-6198	353	13	i∑	i∑	NUM
ejpam-6198	353	14	j=0	j=0	PROPN
ejpam-6198	353	15	i	i	PRON
ejpam-6198	353	16	!	!	PUNCT
ejpam-6198	353	17	j!(i−	j!(i−	PROPN
ejpam-6198	354	1	j	j	NOUN
ejpam-6198	354	2	)	)	PUNCT
ejpam-6198	354	3	!	!	PUNCT
ejpam-6198	355	1	(	(	PUNCT
ejpam-6198	355	2	αβa0	αβa0	PROPN
ejpam-6198	355	3	ν	ν	PROPN
ejpam-6198	355	4	)	)	PUNCT
ejpam-6198	355	5	j	j	PROPN
ejpam-6198	355	6	∞∑	∞∑	PROPN
ejpam-6198	355	7	k=0	k=0	PROPN
ejpam-6198	355	8	(	(	PUNCT
ejpam-6198	355	9	i−	i−	PROPN
ejpam-6198	355	10	j	j	PROPN
ejpam-6198	355	11	)	)	PUNCT
ejpam-6198	355	12	!	!	PUNCT
ejpam-6198	356	1	k!(i−	k!(i−	PROPN
ejpam-6198	357	1	j	j	PROPN
ejpam-6198	358	1	−	−	PROPN
ejpam-6198	358	2	k	k	PROPN
ejpam-6198	358	3	)	)	PUNCT
ejpam-6198	358	4	!	!	PUNCT
ejpam-6198	359	1	ak1	ak1	NOUN
ejpam-6198	359	2	∞∑	∞∑	NUM
ejpam-6198	359	3	l=0	l=0	PROPN
ejpam-6198	359	4	(	(	PUNCT
ejpam-6198	359	5	−a1	−a1	PROPN
ejpam-6198	359	6	)	)	PUNCT
ejpam-6198	359	7	l	l	NOUN
ejpam-6198	359	8	l∑	l∑	PUNCT
ejpam-6198	360	1	h=0	h=0	PROPN
ejpam-6198	360	2	l	l	NOUN
ejpam-6198	360	3	!	!	NOUN
ejpam-6198	360	4	h!(l	h!(l	X
ejpam-6198	361	1	−	−	NUM
ejpam-6198	361	2	h	h	NOUN
ejpam-6198	361	3	)	)	PUNCT
ejpam-6198	361	4	!	!	PUNCT
ejpam-6198	362	1	(	(	PUNCT
ejpam-6198	362	2	νgp	νgp	NOUN
ejpam-6198	362	3	)	)	PUNCT
ejpam-6198	362	4	h	h	NOUN
ejpam-6198	363	1	×	×	NOUN
ejpam-6198	363	2	∫	∫	PROPN
ejpam-6198	363	3	t	t	NOUN
ejpam-6198	363	4	0	0	NUM
ejpam-6198	364	1	[	[	X
ejpam-6198	364	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	364	3	δ)−	δ)−	PROPN
ejpam-6198	364	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	364	5	δ)]m1,l+i	δ)]m1,l+i	X
ejpam-6198	364	6	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	NOUN
ejpam-6198	364	7	+	+	CCONJ
ejpam-6198	364	8	αβa0gp	αβa0gp	X
ejpam-6198	364	9	)	)	PUNCT
ejpam-6198	364	10	,	,	PUNCT
ejpam-6198	364	11	δ)dδ	δ)dδ	PROPN
ejpam-6198	364	12	,	,	PUNCT
ejpam-6198	364	13	(	(	PUNCT
ejpam-6198	364	14	52	52	NUM
ejpam-6198	364	15	)	)	PUNCT
ejpam-6198	364	16	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	364	17	,	,	PUNCT
ejpam-6198	364	18	t	t	PROPN
ejpam-6198	364	19	)	)	PUNCT
ejpam-6198	364	20	=	=	SYM
ejpam-6198	365	1	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	365	2	(	(	PUNCT
ejpam-6198	365	3	π2	π2	ADJ
ejpam-6198	365	4	2	2	NUM
ejpam-6198	365	5	−π2	−π2	NOUN
ejpam-6198	365	6	1)ρ	1)ρ	NUM
ejpam-6198	365	7	2	2	NUM
ejpam-6198	365	8	[	[	X
ejpam-6198	365	9	u2g2(t)π1−u1g1(t)π2][µ+αβao]−	u2g2(t)π1−u1g1(t)π2][µ+αβao]−	PROPN
ejpam-6198	365	10	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	365	11	(	(	PUNCT
ejpam-6198	365	12	π2	π2	ADJ
ejpam-6198	365	13	2	2	NUM
ejpam-6198	365	14	−π2	−π2	NOUN
ejpam-6198	365	15	1)ρ	1)ρ	NUM
ejpam-6198	365	16	2	2	NUM
ejpam-6198	365	17	∫	∫	NOUN
ejpam-6198	365	18	t	t	NOUN
ejpam-6198	365	19	0	0	NUM
ejpam-6198	366	1	[	[	X
ejpam-6198	366	2	u2π1g2(t−δ	u2π1g2(t−δ	ADJ
ejpam-6198	366	3	)	)	PUNCT
ejpam-6198	366	4	−u1π2g1(t−	−u1π2g1(t−	NOUN
ejpam-6198	366	5	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	366	6	0	0	PUNCT
ejpam-6198	366	7	(	(	PUNCT
ejpam-6198	366	8	−a1	−a1	PROPN
ejpam-6198	366	9	,	,	PUNCT
ejpam-6198	366	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	366	11	+	+	NUM
ejpam-6198	366	12	πh(t	πh(t	PUNCT
ejpam-6198	366	13	)	)	PUNCT
ejpam-6198	367	1	∞∑	∞∑	NUM
ejpam-6198	367	2	n=1	n=1	PROPN
ejpam-6198	367	3	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	367	4	,	,	PUNCT
ejpam-6198	367	5	ρn	ρn	NUM
ejpam-6198	367	6	)	)	PUNCT
ejpam-6198	367	7	j2	j2	NOUN
ejpam-6198	367	8	1	1	NUM
ejpam-6198	367	9	(	(	PUNCT
ejpam-6198	367	10	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	367	11	j2	j2	PROPN
ejpam-6198	367	12	1	1	NUM
ejpam-6198	367	13	(	(	PUNCT
ejpam-6198	367	14	π2ρn	π2ρn	ADV
ejpam-6198	367	15	)	)	PUNCT
ejpam-6198	367	16	∞∑	∞∑	PROPN
ejpam-6198	367	17	i=0	i=0	PROPN
ejpam-6198	367	18	(	(	PUNCT
ejpam-6198	367	19	−νρ2n	−νρ2n	X
ejpam-6198	367	20	)	)	PUNCT
ejpam-6198	367	21	i	i	PRON
ejpam-6198	367	22	×	×	VERB
ejpam-6198	367	23	i∑	i∑	NUM
ejpam-6198	367	24	j=0	j=0	PROPN
ejpam-6198	367	25	i	i	PRON
ejpam-6198	367	26	!	!	PUNCT
ejpam-6198	367	27	j!(i−	j!(i−	PROPN
ejpam-6198	368	1	j	j	NOUN
ejpam-6198	368	2	)	)	PUNCT
ejpam-6198	368	3	!	!	PUNCT
ejpam-6198	369	1	(	(	PUNCT
ejpam-6198	369	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	369	3	ν	ν	NOUN
ejpam-6198	369	4	)	)	PUNCT
ejpam-6198	369	5	j	j	PROPN
ejpam-6198	369	6	∞∑	∞∑	PROPN
ejpam-6198	369	7	k=0	k=0	PROPN
ejpam-6198	369	8	(	(	PUNCT
ejpam-6198	369	9	i−	i−	PROPN
ejpam-6198	369	10	j	j	PROPN
ejpam-6198	369	11	)	)	PUNCT
ejpam-6198	369	12	!	!	PUNCT
ejpam-6198	370	1	k!(i−	k!(i−	PROPN
ejpam-6198	371	1	j	j	PROPN
ejpam-6198	372	1	−	−	PROPN
ejpam-6198	372	2	k	k	PROPN
ejpam-6198	372	3	)	)	PUNCT
ejpam-6198	372	4	!	!	PUNCT
ejpam-6198	373	1	ak1	ak1	NOUN
ejpam-6198	373	2	∞∑	∞∑	NUM
ejpam-6198	373	3	l=0	l=0	PROPN
ejpam-6198	373	4	(	(	PUNCT
ejpam-6198	373	5	−a1	−a1	PROPN
ejpam-6198	373	6	)	)	PUNCT
ejpam-6198	373	7	l	l	NOUN
ejpam-6198	373	8	l∑	l∑	PUNCT
ejpam-6198	374	1	h=0	h=0	PROPN
ejpam-6198	374	2	l	l	NOUN
ejpam-6198	374	3	!	!	NOUN
ejpam-6198	374	4	h!(l	h!(l	X
ejpam-6198	375	1	−	−	NUM
ejpam-6198	375	2	h	h	NOUN
ejpam-6198	375	3	)	)	PUNCT
ejpam-6198	375	4	!	!	PUNCT
ejpam-6198	376	1	(	(	PUNCT
ejpam-6198	376	2	νa1gp	νa1gp	NOUN
ejpam-6198	376	3	)	)	PUNCT
ejpam-6198	376	4	h	h	NOUN
ejpam-6198	376	5	m.	m.	NOUN
ejpam-6198	376	6	zafarullah	zafarullah	PROPN
ejpam-6198	376	7	et	et	PROPN
ejpam-6198	376	8	al	al	PROPN
ejpam-6198	376	9	.	.	PUNCT
ejpam-6198	376	10	/	/	SYM
ejpam-6198	376	11	eur	eur	PROPN
ejpam-6198	376	12	.	.	PUNCT
ejpam-6198	377	1	j.	j.	PROPN
ejpam-6198	377	2	pure	pure	PROPN
ejpam-6198	377	3	appl	appl	PROPN
ejpam-6198	377	4	.	.	PROPN
ejpam-6198	377	5	math	math	PROPN
ejpam-6198	377	6	,	,	PUNCT
ejpam-6198	377	7	18	18	NUM
ejpam-6198	377	8	(	(	PUNCT
ejpam-6198	377	9	4	4	NUM
ejpam-6198	377	10	)	)	PUNCT
ejpam-6198	377	11	(	(	PUNCT
ejpam-6198	377	12	2025	2025	NUM
ejpam-6198	377	13	)	)	PUNCT
ejpam-6198	377	14	,	,	PUNCT
ejpam-6198	377	15	6198	6198	NUM
ejpam-6198	377	16	20	20	NUM
ejpam-6198	377	17	of	of	ADP
ejpam-6198	377	18	41	41	NUM
ejpam-6198	377	19	×	×	NOUN
ejpam-6198	377	20	∫	∫	PROPN
ejpam-6198	377	21	t	t	NOUN
ejpam-6198	377	22	0	0	NUM
ejpam-6198	378	1	[	[	X
ejpam-6198	378	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	378	3	δ)−	δ)−	PROPN
ejpam-6198	378	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	378	5	δ	δ	PROPN
ejpam-6198	378	6	)	)	PUNCT
ejpam-6198	378	7	]	]	PUNCT
ejpam-6198	379	1	[	[	X
ejpam-6198	379	2	(	(	PUNCT
ejpam-6198	379	3	µ+	µ+	X
ejpam-6198	379	4	αβa0	αβa0	PROPN
ejpam-6198	379	5	)	)	PUNCT
ejpam-6198	379	6	×m1,l+i	×m1,l+i	NOUN
ejpam-6198	379	7	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	ADJ
ejpam-6198	379	8	+	+	CCONJ
ejpam-6198	379	9	αβaogp	αβaogp	NOUN
ejpam-6198	379	10	)	)	PUNCT
ejpam-6198	379	11	,	,	PUNCT
ejpam-6198	379	12	δ	δ	PROPN
ejpam-6198	379	13	)	)	PUNCT
ejpam-6198	380	1	+	+	CCONJ
ejpam-6198	380	2	µa1m1,l+i	µa1m1,l+i	NUM
ejpam-6198	380	3	−β(1+k+l)+l−h(−(νgp	−β(1+k+l)+l−h(−(νgp	NOUN
ejpam-6198	380	4	+	+	NUM
ejpam-6198	380	5	αβaogp	αβaogp	NOUN
ejpam-6198	380	6	)	)	PUNCT
ejpam-6198	380	7	,	,	PUNCT
ejpam-6198	380	8	δ	δ	PROPN
ejpam-6198	380	9	)	)	PUNCT
ejpam-6198	380	10	]	]	PUNCT
ejpam-6198	380	11	dδ,(53	dδ,(53	NOUN
ejpam-6198	380	12	)	)	PUNCT
ejpam-6198	380	13	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	380	14	,	,	PUNCT
ejpam-6198	380	15	t	t	PROPN
ejpam-6198	380	16	)	)	PUNCT
ejpam-6198	380	17	=	=	SYM
ejpam-6198	380	18	h(t	h(t	PROPN
ejpam-6198	380	19	)	)	PUNCT
ejpam-6198	380	20	ρ	ρ	PROPN
ejpam-6198	380	21	ln(π2	ln(π2	NOUN
ejpam-6198	380	22	/	/	SYM
ejpam-6198	380	23	π1	π1	NOUN
ejpam-6198	380	24	)	)	PUNCT
ejpam-6198	381	1	[	[	X
ejpam-6198	381	2	v2g4(t)−	v2g4(t)−	X
ejpam-6198	381	3	v1g3(t)](µ+	v1g3(t)](µ+	PROPN
ejpam-6198	381	4	αβao)−	αβao)−	PROPN
ejpam-6198	381	5	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	381	6	ρ	ρ	PROPN
ejpam-6198	381	7	ln(π2	ln(π2	NOUN
ejpam-6198	381	8	/	/	SYM
ejpam-6198	381	9	π1	π1	NOUN
ejpam-6198	381	10	)	)	PUNCT
ejpam-6198	381	11	∫	∫	PROPN
ejpam-6198	382	1	t	t	NOUN
ejpam-6198	382	2	0	0	NUM
ejpam-6198	383	1	[	[	X
ejpam-6198	383	2	v2g4(t−	v2g4(t−	NOUN
ejpam-6198	383	3	δ	δ	PROPN
ejpam-6198	383	4	)	)	PUNCT
ejpam-6198	383	5	−v1g3(t−	−v1g3(t−	PROPN
ejpam-6198	384	1	δ)]mβ,1	δ)]mβ,1	NUM
ejpam-6198	384	2	0	0	PUNCT
ejpam-6198	384	3	(	(	PUNCT
ejpam-6198	384	4	−a1	−a1	PROPN
ejpam-6198	384	5	,	,	PUNCT
ejpam-6198	384	6	δ)dδ	δ)dδ	PROPN
ejpam-6198	384	7	+	+	NUM
ejpam-6198	384	8	πh(t	πh(t	PUNCT
ejpam-6198	384	9	)	)	PUNCT
ejpam-6198	385	1	∞∑	∞∑	PRON
ejpam-6198	385	2	m=1	m=1	PROPN
ejpam-6198	385	3	j0(π1ρmd̃0(ρ	j0(π1ρmd̃0(ρ	PROPN
ejpam-6198	385	4	,	,	PUNCT
ejpam-6198	385	5	ρm	ρm	PROPN
ejpam-6198	385	6	)	)	PUNCT
ejpam-6198	385	7	j2	j2	NOUN
ejpam-6198	385	8	0	0	NUM
ejpam-6198	386	1	(	(	PUNCT
ejpam-6198	386	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	386	3	j2	j2	NOUN
ejpam-6198	386	4	0	0	NUM
ejpam-6198	386	5	(	(	PUNCT
ejpam-6198	386	6	π2ρm	π2ρm	X
ejpam-6198	386	7	)	)	PUNCT
ejpam-6198	386	8	∞∑	∞∑	PROPN
ejpam-6198	386	9	i=0	i=0	PROPN
ejpam-6198	386	10	(	(	PUNCT
ejpam-6198	386	11	−νρ2n	−νρ2n	X
ejpam-6198	386	12	)	)	PUNCT
ejpam-6198	386	13	i	i	PRON
ejpam-6198	386	14	×	×	VERB
ejpam-6198	386	15	i∑	i∑	NUM
ejpam-6198	386	16	j=0	j=0	PROPN
ejpam-6198	386	17	i	i	PRON
ejpam-6198	386	18	!	!	PUNCT
ejpam-6198	386	19	j!(i−	j!(i−	PROPN
ejpam-6198	386	20	j	j	NOUN
ejpam-6198	386	21	)	)	PUNCT
ejpam-6198	386	22	!	!	PUNCT
ejpam-6198	387	1	(	(	PUNCT
ejpam-6198	387	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	387	3	ν	ν	NOUN
ejpam-6198	387	4	)	)	PUNCT
ejpam-6198	387	5	j	j	PROPN
ejpam-6198	387	6	∞∑	∞∑	PROPN
ejpam-6198	387	7	k=0	k=0	PROPN
ejpam-6198	387	8	(	(	PUNCT
ejpam-6198	387	9	i−	i−	PROPN
ejpam-6198	387	10	j	j	PROPN
ejpam-6198	387	11	)	)	PUNCT
ejpam-6198	387	12	!	!	PUNCT
ejpam-6198	388	1	k!(i−	k!(i−	PROPN
ejpam-6198	389	1	j	j	PROPN
ejpam-6198	390	1	−	−	PROPN
ejpam-6198	390	2	k	k	PROPN
ejpam-6198	390	3	)	)	PUNCT
ejpam-6198	390	4	!	!	PUNCT
ejpam-6198	391	1	ak1	ak1	NOUN
ejpam-6198	391	2	∞∑	∞∑	NUM
ejpam-6198	391	3	l=0	l=0	PROPN
ejpam-6198	391	4	(	(	PUNCT
ejpam-6198	391	5	−a1	−a1	PROPN
ejpam-6198	391	6	)	)	PUNCT
ejpam-6198	391	7	l	l	NOUN
ejpam-6198	391	8	l∑	l∑	PUNCT
ejpam-6198	392	1	h=0	h=0	PROPN
ejpam-6198	392	2	l	l	NOUN
ejpam-6198	392	3	!	!	NOUN
ejpam-6198	392	4	h!(l	h!(l	X
ejpam-6198	393	1	−	−	NUM
ejpam-6198	393	2	h	h	NOUN
ejpam-6198	393	3	)	)	PUNCT
ejpam-6198	393	4	!	!	PUNCT
ejpam-6198	394	1	(	(	PUNCT
ejpam-6198	394	2	νa1gp	νa1gp	NOUN
ejpam-6198	394	3	)	)	PUNCT
ejpam-6198	394	4	h	h	NOUN
ejpam-6198	395	1	×	×	NOUN
ejpam-6198	395	2	∫	∫	PROPN
ejpam-6198	395	3	t	t	NOUN
ejpam-6198	395	4	0	0	NUM
ejpam-6198	396	1	[	[	X
ejpam-6198	396	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	396	3	δ)−	δ)−	PROPN
ejpam-6198	396	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	396	5	δ	δ	PROPN
ejpam-6198	396	6	)	)	PUNCT
ejpam-6198	396	7	]	]	PUNCT
ejpam-6198	397	1	[	[	X
ejpam-6198	397	2	(	(	PUNCT
ejpam-6198	397	3	µ+	µ+	X
ejpam-6198	397	4	αβa0	αβa0	PROPN
ejpam-6198	397	5	)	)	PUNCT
ejpam-6198	397	6	aogp	aogp	PROPN
ejpam-6198	397	7	)	)	PUNCT
ejpam-6198	397	8	,	,	PUNCT
ejpam-6198	397	9	δ	δ	PROPN
ejpam-6198	397	10	)	)	PUNCT
ejpam-6198	397	11	×m1,l+i	×m1,l+i	NOUN
ejpam-6198	397	12	−β(k+l)+l−h(−(νgp	−β(k+l)+l−h(−(νgp	PROPN
ejpam-6198	398	1	+	+	CCONJ
ejpam-6198	398	2	αβ	αβ	X
ejpam-6198	399	1	+	+	CCONJ
ejpam-6198	399	2	µa1m1,l+i	µa1m1,l+i	NUM
ejpam-6198	399	3	−β(1+k+l)+l−h(−(νgp	−β(1+k+l)+l−h(−(νgp	NOUN
ejpam-6198	399	4	+	+	NUM
ejpam-6198	399	5	αβaogp	αβaogp	NOUN
ejpam-6198	399	6	)	)	PUNCT
ejpam-6198	399	7	,	,	PUNCT
ejpam-6198	399	8	δ	δ	PROPN
ejpam-6198	399	9	)	)	PUNCT
ejpam-6198	399	10	]	]	PUNCT
ejpam-6198	400	1	dδ	dδ	ADP
ejpam-6198	400	2	.	.	PUNCT
ejpam-6198	400	3	(	(	PUNCT
ejpam-6198	400	4	54	54	NUM
ejpam-6198	400	5	)	)	PUNCT
ejpam-6198	400	6	5.4	5.4	NUM
ejpam-6198	400	7	.	.	PUNCT
ejpam-6198	400	8	fractionalized	fractionalize	VERB
ejpam-6198	400	9	second	second	ADJ
ejpam-6198	400	10	grade	grade	NOUN
ejpam-6198	400	11	with	with	ADP
ejpam-6198	400	12	magnetic	magnetic	ADJ
ejpam-6198	400	13	effect	effect	NOUN
ejpam-6198	400	14	(	(	PUNCT
ejpam-6198	400	15	gp	gp	NOUN
ejpam-6198	400	16	→	→	SYM
ejpam-6198	400	17	0	0	NUM
ejpam-6198	400	18	)	)	PUNCT
ejpam-6198	400	19	by	by	ADP
ejpam-6198	400	20	assuming	assume	VERB
ejpam-6198	400	21	gp	gp	NOUN
ejpam-6198	400	22	→	→	SYM
ejpam-6198	400	23	0	0	NUM
ejpam-6198	400	24	in	in	ADP
ejpam-6198	400	25	eqs	eqs	PROPN
ejpam-6198	400	26	.	.	PUNCT
ejpam-6198	401	1	(	(	PUNCT
ejpam-6198	401	2	35	35	NUM
ejpam-6198	401	3	)	)	PUNCT
ejpam-6198	401	4	,	,	PUNCT
ejpam-6198	401	5	(	(	PUNCT
ejpam-6198	401	6	36	36	NUM
ejpam-6198	401	7	)	)	PUNCT
ejpam-6198	401	8	,	,	PUNCT
ejpam-6198	401	9	(	(	PUNCT
ejpam-6198	401	10	41	41	NUM
ejpam-6198	401	11	)	)	PUNCT
ejpam-6198	401	12	and	and	CCONJ
ejpam-6198	401	13	(	(	PUNCT
ejpam-6198	401	14	42	42	NUM
ejpam-6198	401	15	)	)	PUNCT
ejpam-6198	401	16	,	,	PUNCT
ejpam-6198	401	17	we	we	PRON
ejpam-6198	401	18	achieved	achieve	VERB
ejpam-6198	401	19	the	the	DET
ejpam-6198	401	20	solutions	solution	NOUN
ejpam-6198	401	21	for	for	ADP
ejpam-6198	401	22	second	second	ADJ
ejpam-6198	401	23	grade	grade	NOUN
ejpam-6198	401	24	fluid	fluid	NOUN
ejpam-6198	401	25	with	with	ADP
ejpam-6198	401	26	magnetic	magnetic	ADJ
ejpam-6198	401	27	effect	effect	NOUN
ejpam-6198	401	28	w	w	ADP
ejpam-6198	401	29	=	=	PUNCT
ejpam-6198	401	30	h(t	h(t	PROPN
ejpam-6198	401	31	)	)	PUNCT
ejpam-6198	401	32	(	(	PUNCT
ejpam-6198	401	33	π2	π2	ADP
ejpam-6198	401	34	2	2	NUM
ejpam-6198	401	35	−π2	−π2	NOUN
ejpam-6198	401	36	1)ρ	1)ρ	NOUN
ejpam-6198	401	37	[	[	PUNCT
ejpam-6198	401	38	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	401	39	2	2	NUM
ejpam-6198	401	40	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	401	41	2−π2	2−π2	NUM
ejpam-6198	401	42	1	1	NUM
ejpam-6198	401	43	)	)	PUNCT
ejpam-6198	401	44	]	]	PUNCT
ejpam-6198	402	1	−πh(t	−πh(t	X
ejpam-6198	402	2	)	)	PUNCT
ejpam-6198	402	3	∞∑	∞∑	PROPN
ejpam-6198	402	4	n=1	n=1	PROPN
ejpam-6198	402	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	402	6	,	,	PUNCT
ejpam-6198	402	7	ρn	ρn	PROPN
ejpam-6198	402	8	)	)	PUNCT
ejpam-6198	402	9	j2	j2	NOUN
ejpam-6198	402	10	1	1	NUM
ejpam-6198	402	11	(	(	PUNCT
ejpam-6198	402	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	402	13	j2	j2	PROPN
ejpam-6198	402	14	1	1	NUM
ejpam-6198	402	15	(	(	PUNCT
ejpam-6198	402	16	π2ρn	π2ρn	PROPN
ejpam-6198	402	17	)	)	PUNCT
ejpam-6198	402	18	×	×	NOUN
ejpam-6198	403	1	∞∑	∞∑	PROPN
ejpam-6198	403	2	i=0	i=0	PROPN
ejpam-6198	403	3	(	(	PUNCT
ejpam-6198	403	4	−νρ2n	−νρ2n	X
ejpam-6198	403	5	)	)	PUNCT
ejpam-6198	403	6	i	i	PRON
ejpam-6198	403	7	i∑	i∑	NUM
ejpam-6198	403	8	j=0	j=0	PROPN
ejpam-6198	403	9	i	i	PRON
ejpam-6198	403	10	!	!	PUNCT
ejpam-6198	403	11	j!(i−	j!(i−	PROPN
ejpam-6198	403	12	j	j	NOUN
ejpam-6198	403	13	)	)	PUNCT
ejpam-6198	403	14	!	!	PUNCT
ejpam-6198	404	1	(	(	PUNCT
ejpam-6198	404	2	αβa0	αβa0	PROPN
ejpam-6198	404	3	ν	ν	PROPN
ejpam-6198	404	4	)	)	PUNCT
ejpam-6198	404	5	j	j	PROPN
ejpam-6198	404	6	∞∑	∞∑	PROPN
ejpam-6198	404	7	k=0	k=0	PROPN
ejpam-6198	404	8	(	(	PUNCT
ejpam-6198	404	9	i−	i−	PROPN
ejpam-6198	404	10	j	j	PROPN
ejpam-6198	404	11	)	)	PUNCT
ejpam-6198	404	12	!	!	PUNCT
ejpam-6198	405	1	k!(i−	k!(i−	PROPN
ejpam-6198	406	1	j	j	PROPN
ejpam-6198	407	1	−	−	PROPN
ejpam-6198	407	2	k	k	PROPN
ejpam-6198	407	3	)	)	PUNCT
ejpam-6198	407	4	!	!	PUNCT
ejpam-6198	408	1	ak1	ak1	NOUN
ejpam-6198	408	2	∞∑	∞∑	NUM
ejpam-6198	408	3	l=0	l=0	PROPN
ejpam-6198	408	4	(	(	PUNCT
ejpam-6198	408	5	−a1	−a1	PROPN
ejpam-6198	408	6	)	)	PUNCT
ejpam-6198	408	7	l	l	NOUN
ejpam-6198	408	8	l∑	l∑	PUNCT
ejpam-6198	409	1	h=0	h=0	PROPN
ejpam-6198	409	2	l	l	NOUN
ejpam-6198	409	3	!	!	NOUN
ejpam-6198	409	4	h!(l	h!(l	X
ejpam-6198	410	1	−	−	NUM
ejpam-6198	410	2	h	h	NOUN
ejpam-6198	410	3	)	)	PUNCT
ejpam-6198	410	4	!	!	PUNCT
ejpam-6198	411	1	(	(	PUNCT
ejpam-6198	411	2	gm)h	gm)h	PROPN
ejpam-6198	411	3	m.	m.	NOUN
ejpam-6198	411	4	zafarullah	zafarullah	PROPN
ejpam-6198	411	5	et	et	PROPN
ejpam-6198	411	6	al	al	PROPN
ejpam-6198	411	7	.	.	PUNCT
ejpam-6198	411	8	/	/	SYM
ejpam-6198	411	9	eur	eur	PROPN
ejpam-6198	411	10	.	.	PUNCT
ejpam-6198	412	1	j.	j.	PROPN
ejpam-6198	412	2	pure	pure	PROPN
ejpam-6198	412	3	appl	appl	PROPN
ejpam-6198	412	4	.	.	PROPN
ejpam-6198	412	5	math	math	PROPN
ejpam-6198	412	6	,	,	PUNCT
ejpam-6198	412	7	18	18	NUM
ejpam-6198	412	8	(	(	PUNCT
ejpam-6198	412	9	4	4	NUM
ejpam-6198	412	10	)	)	PUNCT
ejpam-6198	412	11	(	(	PUNCT
ejpam-6198	412	12	2025	2025	NUM
ejpam-6198	412	13	)	)	PUNCT
ejpam-6198	412	14	,	,	PUNCT
ejpam-6198	412	15	6198	6198	NUM
ejpam-6198	412	16	21	21	NUM
ejpam-6198	412	17	of	of	ADP
ejpam-6198	412	18	41	41	NUM
ejpam-6198	412	19	×	×	NOUN
ejpam-6198	412	20	∫	∫	PROPN
ejpam-6198	412	21	t	t	NOUN
ejpam-6198	412	22	0	0	NUM
ejpam-6198	413	1	[	[	X
ejpam-6198	413	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	413	3	δ)−	δ)−	PROPN
ejpam-6198	413	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	413	5	δ)]m1,l+i	δ)]m1,l+i	PROPN
ejpam-6198	413	6	−β(k+l)+l−h(−gm	−β(k+l)+l−h(−gm	NOUN
ejpam-6198	413	7	,	,	PUNCT
ejpam-6198	413	8	δ)dδ	δ)dδ	PROPN
ejpam-6198	413	9	,	,	PUNCT
ejpam-6198	413	10	(	(	PUNCT
ejpam-6198	413	11	55	55	NUM
ejpam-6198	413	12	)	)	PUNCT
ejpam-6198	413	13	v	v	NOUN
ejpam-6198	413	14	=	=	SYM
ejpam-6198	413	15	h(t	h(t	NUM
ejpam-6198	413	16	)	)	PUNCT
ejpam-6198	413	17	ln(π2	ln(π2	NOUN
ejpam-6198	413	18	/	/	SYM
ejpam-6198	413	19	π1	π1	NOUN
ejpam-6198	413	20	)	)	PUNCT
ejpam-6198	413	21	[	[	PUNCT
ejpam-6198	413	22	v1g3(t	v1g3(t	X
ejpam-6198	413	23	)	)	PUNCT
ejpam-6198	413	24	ln(π2	ln(π2	NOUN
ejpam-6198	413	25	/	/	SYM
ejpam-6198	413	26	ρ	ρ	NOUN
ejpam-6198	413	27	)	)	PUNCT
ejpam-6198	413	28	+	+	CCONJ
ejpam-6198	413	29	v2g4(t	v2g4(t	PROPN
ejpam-6198	413	30	)	)	PUNCT
ejpam-6198	413	31	ln(ρ	ln(ρ	PUNCT
ejpam-6198	413	32	/	/	SYM
ejpam-6198	413	33	π1	π1	NOUN
ejpam-6198	413	34	)	)	PUNCT
ejpam-6198	413	35	]	]	PUNCT
ejpam-6198	414	1	−	−	PROPN
ejpam-6198	414	2	πh(t	πh(t	PUNCT
ejpam-6198	414	3	)	)	PUNCT
ejpam-6198	415	1	∞∑	∞∑	NUM
ejpam-6198	415	2	n=1	n=1	PROPN
ejpam-6198	415	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	415	4	,	,	PUNCT
ejpam-6198	415	5	ρm	ρm	PROPN
ejpam-6198	415	6	)	)	PUNCT
ejpam-6198	415	7	j2	j2	NOUN
ejpam-6198	415	8	0	0	NUM
ejpam-6198	416	1	(	(	PUNCT
ejpam-6198	416	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	416	3	j2	j2	NOUN
ejpam-6198	416	4	0	0	NUM
ejpam-6198	416	5	(	(	PUNCT
ejpam-6198	416	6	π2ρm	π2ρm	X
ejpam-6198	416	7	)	)	PUNCT
ejpam-6198	416	8	×	×	NOUN
ejpam-6198	416	9	∞∑	∞∑	PROPN
ejpam-6198	416	10	i=0	i=0	PROPN
ejpam-6198	416	11	(	(	PUNCT
ejpam-6198	416	12	−νρ2m)i	−νρ2m)i	ADV
ejpam-6198	416	13	i∑	i∑	NUM
ejpam-6198	416	14	j=0	j=0	PROPN
ejpam-6198	416	15	i	i	PRON
ejpam-6198	416	16	!	!	PUNCT
ejpam-6198	416	17	j!(i−	j!(i−	PROPN
ejpam-6198	417	1	j	j	NOUN
ejpam-6198	417	2	)	)	PUNCT
ejpam-6198	417	3	!	!	PUNCT
ejpam-6198	418	1	(	(	PUNCT
ejpam-6198	418	2	αβa0	αβa0	PROPN
ejpam-6198	418	3	ν	ν	PROPN
ejpam-6198	418	4	)	)	PUNCT
ejpam-6198	418	5	j	j	PROPN
ejpam-6198	418	6	∞∑	∞∑	PROPN
ejpam-6198	418	7	k=0	k=0	PROPN
ejpam-6198	418	8	(	(	PUNCT
ejpam-6198	418	9	i−	i−	PROPN
ejpam-6198	418	10	j	j	PROPN
ejpam-6198	418	11	)	)	PUNCT
ejpam-6198	418	12	!	!	PUNCT
ejpam-6198	419	1	k!(i−	k!(i−	PROPN
ejpam-6198	420	1	j	j	PROPN
ejpam-6198	421	1	−	−	PROPN
ejpam-6198	421	2	k	k	PROPN
ejpam-6198	421	3	)	)	PUNCT
ejpam-6198	421	4	!	!	PUNCT
ejpam-6198	422	1	ak1	ak1	NOUN
ejpam-6198	422	2	∞∑	∞∑	NUM
ejpam-6198	422	3	l=0	l=0	PROPN
ejpam-6198	422	4	(	(	PUNCT
ejpam-6198	422	5	−a1	−a1	PROPN
ejpam-6198	422	6	)	)	PUNCT
ejpam-6198	422	7	l	l	NOUN
ejpam-6198	422	8	l∑	l∑	PUNCT
ejpam-6198	423	1	h=0	h=0	PROPN
ejpam-6198	423	2	l	l	NOUN
ejpam-6198	423	3	!	!	NOUN
ejpam-6198	423	4	h!(l	h!(l	X
ejpam-6198	424	1	−	−	NUM
ejpam-6198	424	2	h	h	NOUN
ejpam-6198	424	3	)	)	PUNCT
ejpam-6198	424	4	!	!	PUNCT
ejpam-6198	425	1	(	(	PUNCT
ejpam-6198	425	2	gm)h	gm)h	PROPN
ejpam-6198	425	3	×	×	NOUN
ejpam-6198	425	4	∫	∫	PROPN
ejpam-6198	425	5	t	t	NOUN
ejpam-6198	425	6	0	0	NUM
ejpam-6198	426	1	[	[	X
ejpam-6198	426	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	426	3	δ)−	δ)−	PROPN
ejpam-6198	426	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	426	5	δ)]m1,l+i	δ)]m1,l+i	PROPN
ejpam-6198	426	6	−β(k+l)+l−h(−gm	−β(k+l)+l−h(−gm	NOUN
ejpam-6198	426	7	,	,	PUNCT
ejpam-6198	426	8	δ)dδ	δ)dδ	PROPN
ejpam-6198	426	9	,	,	PUNCT
ejpam-6198	426	10	(	(	PUNCT
ejpam-6198	426	11	56	56	NUM
ejpam-6198	426	12	)	)	PUNCT
ejpam-6198	426	13	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	426	14	,	,	PUNCT
ejpam-6198	426	15	t	t	PROPN
ejpam-6198	426	16	)	)	PUNCT
ejpam-6198	426	17	=	=	SYM
ejpam-6198	427	1	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	427	2	(	(	PUNCT
ejpam-6198	427	3	π2	π2	ADJ
ejpam-6198	427	4	2	2	NUM
ejpam-6198	427	5	−π2	−π2	NOUN
ejpam-6198	427	6	1)ρ	1)ρ	NUM
ejpam-6198	427	7	2	2	NUM
ejpam-6198	427	8	[	[	X
ejpam-6198	427	9	u2g2(t)π1−u1g1(t)π2][µ+αβao]−	u2g2(t)π1−u1g1(t)π2][µ+αβao]−	PROPN
ejpam-6198	427	10	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	427	11	(	(	PUNCT
ejpam-6198	427	12	π2	π2	ADJ
ejpam-6198	427	13	2	2	NUM
ejpam-6198	427	14	−π2	−π2	NOUN
ejpam-6198	427	15	1)ρ	1)ρ	NUM
ejpam-6198	427	16	2	2	NUM
ejpam-6198	427	17	∫	∫	NOUN
ejpam-6198	427	18	t	t	NOUN
ejpam-6198	427	19	0	0	NUM
ejpam-6198	428	1	[	[	X
ejpam-6198	428	2	u2π1g2(t−δ	u2π1g2(t−δ	ADJ
ejpam-6198	428	3	)	)	PUNCT
ejpam-6198	428	4	−u1π2g1(t−	−u1π2g1(t−	NOUN
ejpam-6198	428	5	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	428	6	0	0	PUNCT
ejpam-6198	428	7	(	(	PUNCT
ejpam-6198	428	8	−a1	−a1	PROPN
ejpam-6198	428	9	,	,	PUNCT
ejpam-6198	428	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	428	11	+	+	NUM
ejpam-6198	428	12	πh(t	πh(t	PUNCT
ejpam-6198	428	13	)	)	PUNCT
ejpam-6198	429	1	∞∑	∞∑	NUM
ejpam-6198	429	2	n=1	n=1	PROPN
ejpam-6198	429	3	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	429	4	,	,	PUNCT
ejpam-6198	429	5	ρn	ρn	NUM
ejpam-6198	429	6	)	)	PUNCT
ejpam-6198	429	7	j2	j2	NOUN
ejpam-6198	429	8	1	1	NUM
ejpam-6198	429	9	(	(	PUNCT
ejpam-6198	429	10	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	429	11	j2	j2	PROPN
ejpam-6198	429	12	1	1	NUM
ejpam-6198	429	13	(	(	PUNCT
ejpam-6198	429	14	π2ρn	π2ρn	ADV
ejpam-6198	429	15	)	)	PUNCT
ejpam-6198	429	16	∞∑	∞∑	PROPN
ejpam-6198	429	17	i=0	i=0	PROPN
ejpam-6198	429	18	(	(	PUNCT
ejpam-6198	429	19	−νρ2n	−νρ2n	X
ejpam-6198	429	20	)	)	PUNCT
ejpam-6198	429	21	i	i	PRON
ejpam-6198	429	22	×	×	VERB
ejpam-6198	429	23	i∑	i∑	NUM
ejpam-6198	429	24	j=0	j=0	PROPN
ejpam-6198	429	25	i	i	PRON
ejpam-6198	429	26	!	!	PUNCT
ejpam-6198	429	27	j!(i−	j!(i−	PROPN
ejpam-6198	430	1	j	j	NOUN
ejpam-6198	430	2	)	)	PUNCT
ejpam-6198	430	3	!	!	PUNCT
ejpam-6198	431	1	(	(	PUNCT
ejpam-6198	431	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	431	3	ν	ν	NOUN
ejpam-6198	431	4	)	)	PUNCT
ejpam-6198	431	5	j	j	PROPN
ejpam-6198	431	6	∞∑	∞∑	PROPN
ejpam-6198	431	7	k=0	k=0	PROPN
ejpam-6198	431	8	(	(	PUNCT
ejpam-6198	431	9	i−	i−	PROPN
ejpam-6198	431	10	j	j	PROPN
ejpam-6198	431	11	)	)	PUNCT
ejpam-6198	431	12	!	!	PUNCT
ejpam-6198	432	1	k!(i−	k!(i−	PROPN
ejpam-6198	433	1	j	j	PROPN
ejpam-6198	434	1	−	−	PROPN
ejpam-6198	434	2	k	k	PROPN
ejpam-6198	434	3	)	)	PUNCT
ejpam-6198	434	4	!	!	PUNCT
ejpam-6198	435	1	ak1	ak1	NOUN
ejpam-6198	435	2	∞∑	∞∑	NUM
ejpam-6198	435	3	l=0	l=0	PROPN
ejpam-6198	435	4	(	(	PUNCT
ejpam-6198	435	5	−a1	−a1	PROPN
ejpam-6198	435	6	)	)	PUNCT
ejpam-6198	435	7	l	l	NOUN
ejpam-6198	435	8	l∑	l∑	PUNCT
ejpam-6198	436	1	h=0	h=0	PROPN
ejpam-6198	436	2	l	l	NOUN
ejpam-6198	436	3	!	!	NOUN
ejpam-6198	436	4	h!(l	h!(l	X
ejpam-6198	437	1	−	−	NUM
ejpam-6198	437	2	h	h	NOUN
ejpam-6198	437	3	)	)	PUNCT
ejpam-6198	437	4	!	!	PUNCT
ejpam-6198	438	1	(	(	PUNCT
ejpam-6198	438	2	gm)h	gm)h	PROPN
ejpam-6198	438	3	×	×	NOUN
ejpam-6198	438	4	∫	∫	PROPN
ejpam-6198	438	5	t	t	NOUN
ejpam-6198	438	6	0	0	NUM
ejpam-6198	439	1	[	[	X
ejpam-6198	439	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	439	3	δ)−	δ)−	PROPN
ejpam-6198	439	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	439	5	δ	δ	PROPN
ejpam-6198	439	6	)	)	PUNCT
ejpam-6198	439	7	]	]	PUNCT
ejpam-6198	440	1	[	[	X
ejpam-6198	440	2	(	(	PUNCT
ejpam-6198	440	3	µ+	µ+	X
ejpam-6198	440	4	αβa0	αβa0	PROPN
ejpam-6198	440	5	)	)	PUNCT
ejpam-6198	440	6	m1,l+i	m1,l+i	PROPN
ejpam-6198	441	1	−β(k+l)+l−h(−gm	−β(k+l)+l−h(−gm	NOUN
ejpam-6198	441	2	,	,	PUNCT
ejpam-6198	441	3	δ	δ	PROPN
ejpam-6198	441	4	)	)	PUNCT
ejpam-6198	442	1	+	+	ADP
ejpam-6198	442	2	µa1m1,l+i	µa1m1,l+i	NUM
ejpam-6198	442	3	−β(1+k+l)+l−h(−gm	−β(1+k+l)+l−h(−gm	NOUN
ejpam-6198	442	4	,	,	PUNCT
ejpam-6198	442	5	δ	δ	PROPN
ejpam-6198	442	6	)	)	PUNCT
ejpam-6198	442	7	]	]	PUNCT
ejpam-6198	442	8	dδ	dδ	ADP
ejpam-6198	442	9	,	,	PUNCT
ejpam-6198	442	10	(	(	PUNCT
ejpam-6198	442	11	57	57	NUM
ejpam-6198	442	12	)	)	PUNCT
ejpam-6198	442	13	m.	m.	NOUN
ejpam-6198	442	14	zafarullah	zafarullah	PROPN
ejpam-6198	442	15	et	et	PROPN
ejpam-6198	442	16	al	al	PROPN
ejpam-6198	442	17	.	.	PUNCT
ejpam-6198	442	18	/	/	SYM
ejpam-6198	442	19	eur	eur	PROPN
ejpam-6198	442	20	.	.	PUNCT
ejpam-6198	443	1	j.	j.	PROPN
ejpam-6198	443	2	pure	pure	PROPN
ejpam-6198	443	3	appl	appl	PROPN
ejpam-6198	443	4	.	.	PROPN
ejpam-6198	443	5	math	math	PROPN
ejpam-6198	443	6	,	,	PUNCT
ejpam-6198	443	7	18	18	NUM
ejpam-6198	443	8	(	(	PUNCT
ejpam-6198	443	9	4	4	NUM
ejpam-6198	443	10	)	)	PUNCT
ejpam-6198	443	11	(	(	PUNCT
ejpam-6198	443	12	2025	2025	NUM
ejpam-6198	443	13	)	)	PUNCT
ejpam-6198	443	14	,	,	PUNCT
ejpam-6198	443	15	6198	6198	NUM
ejpam-6198	443	16	22	22	NUM
ejpam-6198	443	17	of	of	ADP
ejpam-6198	443	18	41	41	NUM
ejpam-6198	443	19	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	443	20	,	,	PUNCT
ejpam-6198	443	21	t	t	PROPN
ejpam-6198	443	22	)	)	PUNCT
ejpam-6198	443	23	=	=	SYM
ejpam-6198	443	24	h(t	h(t	PROPN
ejpam-6198	443	25	)	)	PUNCT
ejpam-6198	443	26	ρ	ρ	PROPN
ejpam-6198	443	27	ln(π2	ln(π2	NOUN
ejpam-6198	443	28	/	/	SYM
ejpam-6198	443	29	π1	π1	NOUN
ejpam-6198	443	30	)	)	PUNCT
ejpam-6198	444	1	[	[	X
ejpam-6198	444	2	v2g4(t)−	v2g4(t)−	X
ejpam-6198	444	3	v1g3(t)](µ+	v1g3(t)](µ+	PROPN
ejpam-6198	444	4	αβao)−	αβao)−	PROPN
ejpam-6198	444	5	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	444	6	ρ	ρ	PROPN
ejpam-6198	444	7	ln(π2	ln(π2	NOUN
ejpam-6198	444	8	/	/	SYM
ejpam-6198	444	9	π1	π1	NOUN
ejpam-6198	444	10	)	)	PUNCT
ejpam-6198	444	11	×	×	NOUN
ejpam-6198	444	12	∫	∫	PROPN
ejpam-6198	444	13	t	t	NOUN
ejpam-6198	444	14	0	0	NUM
ejpam-6198	445	1	[	[	X
ejpam-6198	445	2	v2g4(t−δ)−v1g3(t−δ)]mβ,1	v2g4(t−δ)−v1g3(t−δ)]mβ,1	X
ejpam-6198	445	3	0	0	NUM
ejpam-6198	445	4	(	(	PUNCT
ejpam-6198	445	5	−a1	−a1	PROPN
ejpam-6198	445	6	,	,	PUNCT
ejpam-6198	445	7	δ)dδ+πh(t	δ)dδ+πh(t	NUM
ejpam-6198	445	8	)	)	PUNCT
ejpam-6198	445	9	∞∑	∞∑	PROPN
ejpam-6198	445	10	m=1	m=1	PROPN
ejpam-6198	445	11	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	445	12	,	,	PUNCT
ejpam-6198	445	13	ρm	ρm	PROPN
ejpam-6198	445	14	)	)	PUNCT
ejpam-6198	445	15	j2	j2	NOUN
ejpam-6198	445	16	0	0	NUM
ejpam-6198	446	1	(	(	PUNCT
ejpam-6198	446	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	446	3	j2	j2	NOUN
ejpam-6198	446	4	0	0	NUM
ejpam-6198	446	5	(	(	PUNCT
ejpam-6198	446	6	π2ρm	π2ρm	X
ejpam-6198	446	7	)	)	PUNCT
ejpam-6198	446	8	∞∑	∞∑	PROPN
ejpam-6198	446	9	i=0	i=0	PROPN
ejpam-6198	446	10	(	(	PUNCT
ejpam-6198	446	11	−νρ2n	−νρ2n	X
ejpam-6198	446	12	)	)	PUNCT
ejpam-6198	446	13	i	i	PRON
ejpam-6198	446	14	×	×	VERB
ejpam-6198	446	15	i∑	i∑	NUM
ejpam-6198	446	16	j=0	j=0	PROPN
ejpam-6198	446	17	i	i	PRON
ejpam-6198	446	18	!	!	PUNCT
ejpam-6198	446	19	j!(i−	j!(i−	PROPN
ejpam-6198	446	20	j	j	NOUN
ejpam-6198	446	21	)	)	PUNCT
ejpam-6198	446	22	!	!	PUNCT
ejpam-6198	447	1	(	(	PUNCT
ejpam-6198	447	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	447	3	ν	ν	NOUN
ejpam-6198	447	4	)	)	PUNCT
ejpam-6198	447	5	j	j	PROPN
ejpam-6198	447	6	∞∑	∞∑	PROPN
ejpam-6198	447	7	k=0	k=0	PROPN
ejpam-6198	447	8	(	(	PUNCT
ejpam-6198	447	9	i−	i−	PROPN
ejpam-6198	447	10	j	j	PROPN
ejpam-6198	447	11	)	)	PUNCT
ejpam-6198	447	12	!	!	PUNCT
ejpam-6198	448	1	k!(i−	k!(i−	PROPN
ejpam-6198	449	1	j	j	PROPN
ejpam-6198	450	1	−	−	PROPN
ejpam-6198	450	2	k	k	PROPN
ejpam-6198	450	3	)	)	PUNCT
ejpam-6198	450	4	!	!	PUNCT
ejpam-6198	451	1	ak1	ak1	NOUN
ejpam-6198	451	2	∞∑	∞∑	NUM
ejpam-6198	451	3	l=0	l=0	PROPN
ejpam-6198	451	4	(	(	PUNCT
ejpam-6198	451	5	−a1	−a1	PROPN
ejpam-6198	451	6	)	)	PUNCT
ejpam-6198	451	7	l	l	NOUN
ejpam-6198	451	8	l∑	l∑	PUNCT
ejpam-6198	452	1	h=0	h=0	PROPN
ejpam-6198	452	2	l	l	NOUN
ejpam-6198	452	3	!	!	NOUN
ejpam-6198	452	4	h!(l	h!(l	X
ejpam-6198	453	1	−	−	NUM
ejpam-6198	453	2	h	h	NOUN
ejpam-6198	453	3	)	)	PUNCT
ejpam-6198	453	4	!	!	PUNCT
ejpam-6198	454	1	(	(	PUNCT
ejpam-6198	454	2	a1gm)h	a1gm)h	NOUN
ejpam-6198	454	3	×	×	NOUN
ejpam-6198	454	4	∫	∫	X
ejpam-6198	454	5	t	t	NOUN
ejpam-6198	454	6	0	0	NUM
ejpam-6198	455	1	[	[	X
ejpam-6198	455	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	455	3	δ)−	δ)−	PROPN
ejpam-6198	455	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	455	5	δ	δ	PROPN
ejpam-6198	455	6	)	)	PUNCT
ejpam-6198	455	7	]	]	PUNCT
ejpam-6198	456	1	[	[	X
ejpam-6198	456	2	(	(	PUNCT
ejpam-6198	456	3	µ+	µ+	X
ejpam-6198	456	4	αβa0	αβa0	PROPN
ejpam-6198	456	5	)	)	PUNCT
ejpam-6198	456	6	m1,l+i	m1,l+i	PROPN
ejpam-6198	457	1	−β(k+l)+l−h(−gm	−β(k+l)+l−h(−gm	NOUN
ejpam-6198	457	2	,	,	PUNCT
ejpam-6198	457	3	δ	δ	PROPN
ejpam-6198	457	4	)	)	PUNCT
ejpam-6198	458	1	+	+	ADP
ejpam-6198	458	2	µa1m1,l+i	µa1m1,l+i	NUM
ejpam-6198	458	3	−β(1+k+l)+l−h(−gm	−β(1+k+l)+l−h(−gm	NOUN
ejpam-6198	458	4	,	,	PUNCT
ejpam-6198	458	5	δ	δ	PROPN
ejpam-6198	458	6	)	)	PUNCT
ejpam-6198	458	7	]	]	PUNCT
ejpam-6198	458	8	dδ	dδ	ADP
ejpam-6198	458	9	.	.	PUNCT
ejpam-6198	459	1	(	(	PUNCT
ejpam-6198	459	2	58	58	NUM
ejpam-6198	459	3	)	)	PUNCT
ejpam-6198	459	4	5.5	5.5	NUM
ejpam-6198	459	5	.	.	PUNCT
ejpam-6198	459	6	fractionalized	fractionalize	VERB
ejpam-6198	459	7	second	second	ADJ
ejpam-6198	459	8	grade	grade	NOUN
ejpam-6198	459	9	fluid	fluid	NOUN
ejpam-6198	459	10	(	(	PUNCT
ejpam-6198	459	11	gm	gm	PROPN
ejpam-6198	459	12	→	→	SYM
ejpam-6198	459	13	0	0	NUM
ejpam-6198	459	14	and	and	CCONJ
ejpam-6198	459	15	gp	gp	NOUN
ejpam-6198	459	16	→	→	X
ejpam-6198	459	17	0	0	NUM
ejpam-6198	459	18	)	)	PUNCT
ejpam-6198	459	19	by	by	ADP
ejpam-6198	459	20	assuming	assume	VERB
ejpam-6198	459	21	gm	gm	PROPN
ejpam-6198	459	22	→	→	SYM
ejpam-6198	459	23	0	0	NUM
ejpam-6198	459	24	and	and	CCONJ
ejpam-6198	459	25	gp	gp	NOUN
ejpam-6198	459	26	→	→	SYM
ejpam-6198	459	27	0	0	NUM
ejpam-6198	459	28	to	to	ADP
ejpam-6198	459	29	eqs	eqs	PROPN
ejpam-6198	459	30	.	.	PUNCT
ejpam-6198	460	1	(	(	PUNCT
ejpam-6198	460	2	35	35	NUM
ejpam-6198	460	3	)	)	PUNCT
ejpam-6198	460	4	,	,	PUNCT
ejpam-6198	460	5	(	(	PUNCT
ejpam-6198	460	6	36	36	NUM
ejpam-6198	460	7	)	)	PUNCT
ejpam-6198	460	8	,	,	PUNCT
ejpam-6198	460	9	(	(	PUNCT
ejpam-6198	460	10	41	41	NUM
ejpam-6198	460	11	)	)	PUNCT
ejpam-6198	460	12	and	and	CCONJ
ejpam-6198	460	13	(	(	PUNCT
ejpam-6198	460	14	42	42	NUM
ejpam-6198	460	15	)	)	PUNCT
ejpam-6198	460	16	,	,	PUNCT
ejpam-6198	460	17	so	so	ADV
ejpam-6198	460	18	we	we	PRON
ejpam-6198	460	19	achieved	achieve	VERB
ejpam-6198	460	20	the	the	DET
ejpam-6198	460	21	solutions	solution	NOUN
ejpam-6198	460	22	for	for	ADP
ejpam-6198	460	23	second	second	ADJ
ejpam-6198	460	24	grade	grade	NOUN
ejpam-6198	460	25	fluid	fluid	NOUN
ejpam-6198	460	26	.	.	PUNCT
ejpam-6198	461	1	w	w	NOUN
ejpam-6198	461	2	=	=	PUNCT
ejpam-6198	461	3	h(t	h(t	PROPN
ejpam-6198	461	4	)	)	PUNCT
ejpam-6198	461	5	(	(	PUNCT
ejpam-6198	461	6	π2	π2	ADP
ejpam-6198	461	7	2	2	NUM
ejpam-6198	461	8	−π2	−π2	NOUN
ejpam-6198	461	9	1)ρ	1)ρ	NOUN
ejpam-6198	461	10	[	[	PUNCT
ejpam-6198	461	11	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	461	12	2	2	NUM
ejpam-6198	461	13	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	461	14	2−π2	2−π2	NUM
ejpam-6198	461	15	1	1	NUM
ejpam-6198	461	16	)	)	PUNCT
ejpam-6198	461	17	]	]	PUNCT
ejpam-6198	462	1	−πh(t	−πh(t	X
ejpam-6198	462	2	)	)	PUNCT
ejpam-6198	462	3	∞∑	∞∑	PROPN
ejpam-6198	462	4	n=1	n=1	PROPN
ejpam-6198	462	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	462	6	,	,	PUNCT
ejpam-6198	462	7	ρn	ρn	PROPN
ejpam-6198	462	8	)	)	PUNCT
ejpam-6198	462	9	j2	j2	NOUN
ejpam-6198	462	10	1	1	NUM
ejpam-6198	462	11	(	(	PUNCT
ejpam-6198	462	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	462	13	j2	j2	PROPN
ejpam-6198	462	14	1	1	NUM
ejpam-6198	462	15	(	(	PUNCT
ejpam-6198	462	16	π2ρn	π2ρn	PROPN
ejpam-6198	462	17	)	)	PUNCT
ejpam-6198	462	18	×	×	NOUN
ejpam-6198	463	1	∞∑	∞∑	PROPN
ejpam-6198	463	2	i=0	i=0	PROPN
ejpam-6198	463	3	(	(	PUNCT
ejpam-6198	463	4	−νρ2n	−νρ2n	X
ejpam-6198	463	5	)	)	PUNCT
ejpam-6198	463	6	i	i	PRON
ejpam-6198	463	7	i∑	i∑	NUM
ejpam-6198	463	8	j=0	j=0	PROPN
ejpam-6198	463	9	i	i	PRON
ejpam-6198	463	10	!	!	PUNCT
ejpam-6198	463	11	j!(i−	j!(i−	PROPN
ejpam-6198	463	12	j	j	NOUN
ejpam-6198	463	13	)	)	PUNCT
ejpam-6198	463	14	!	!	PUNCT
ejpam-6198	464	1	(	(	PUNCT
ejpam-6198	464	2	αβa0	αβa0	PROPN
ejpam-6198	464	3	ν	ν	PROPN
ejpam-6198	464	4	)	)	PUNCT
ejpam-6198	464	5	j	j	PROPN
ejpam-6198	464	6	∞∑	∞∑	PROPN
ejpam-6198	464	7	k=0	k=0	PROPN
ejpam-6198	464	8	(	(	PUNCT
ejpam-6198	464	9	i−	i−	PROPN
ejpam-6198	464	10	j	j	PROPN
ejpam-6198	464	11	)	)	PUNCT
ejpam-6198	464	12	!	!	PUNCT
ejpam-6198	465	1	k!(i−	k!(i−	PROPN
ejpam-6198	466	1	j	j	PROPN
ejpam-6198	467	1	−	−	PROPN
ejpam-6198	467	2	k	k	PROPN
ejpam-6198	467	3	)	)	PUNCT
ejpam-6198	467	4	!	!	PUNCT
ejpam-6198	468	1	ak1	ak1	NOUN
ejpam-6198	468	2	∞∑	∞∑	NUM
ejpam-6198	468	3	l=0	l=0	PROPN
ejpam-6198	468	4	(	(	PUNCT
ejpam-6198	468	5	−a1	−a1	PROPN
ejpam-6198	468	6	)	)	PUNCT
ejpam-6198	468	7	l	l	NOUN
ejpam-6198	469	1	×	×	NOUN
ejpam-6198	469	2	∫	∫	PROPN
ejpam-6198	469	3	t	t	NOUN
ejpam-6198	469	4	0	0	NUM
ejpam-6198	470	1	[	[	X
ejpam-6198	470	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	PROPN
ejpam-6198	470	3	δ)−	δ)−	PROPN
ejpam-6198	470	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	470	5	δ)]m1,i	δ)]m1,i	PROPN
ejpam-6198	470	6	−β(k+l)(0	−β(k+l)(0	PROPN
ejpam-6198	470	7	,	,	PUNCT
ejpam-6198	470	8	δ)dδ	δ)dδ	PROPN
ejpam-6198	470	9	,	,	PUNCT
ejpam-6198	470	10	(	(	PUNCT
ejpam-6198	470	11	59	59	NUM
ejpam-6198	470	12	)	)	PUNCT
ejpam-6198	470	13	v	v	NOUN
ejpam-6198	470	14	=	=	SYM
ejpam-6198	470	15	h(t	h(t	NUM
ejpam-6198	470	16	)	)	PUNCT
ejpam-6198	470	17	ln(π2	ln(π2	NOUN
ejpam-6198	470	18	/	/	SYM
ejpam-6198	470	19	π1	π1	NOUN
ejpam-6198	470	20	)	)	PUNCT
ejpam-6198	470	21	[	[	PUNCT
ejpam-6198	470	22	v1g3(t	v1g3(t	X
ejpam-6198	470	23	)	)	PUNCT
ejpam-6198	470	24	ln(π2	ln(π2	NOUN
ejpam-6198	470	25	/	/	SYM
ejpam-6198	470	26	ρ	ρ	NOUN
ejpam-6198	470	27	)	)	PUNCT
ejpam-6198	470	28	+	+	CCONJ
ejpam-6198	470	29	v2g4(t	v2g4(t	PROPN
ejpam-6198	470	30	)	)	PUNCT
ejpam-6198	470	31	ln(ρ	ln(ρ	PUNCT
ejpam-6198	470	32	/	/	SYM
ejpam-6198	470	33	π1	π1	NOUN
ejpam-6198	470	34	)	)	PUNCT
ejpam-6198	470	35	]	]	PUNCT
ejpam-6198	471	1	−	−	PROPN
ejpam-6198	471	2	πh(t	πh(t	PUNCT
ejpam-6198	471	3	)	)	PUNCT
ejpam-6198	472	1	∞∑	∞∑	NUM
ejpam-6198	472	2	n=1	n=1	PROPN
ejpam-6198	472	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	472	4	,	,	PUNCT
ejpam-6198	472	5	ρm	ρm	PROPN
ejpam-6198	472	6	)	)	PUNCT
ejpam-6198	472	7	j2	j2	NOUN
ejpam-6198	472	8	0	0	NUM
ejpam-6198	473	1	(	(	PUNCT
ejpam-6198	473	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	473	3	j2	j2	NOUN
ejpam-6198	473	4	0	0	NUM
ejpam-6198	473	5	(	(	PUNCT
ejpam-6198	473	6	π2ρm	π2ρm	NOUN
ejpam-6198	473	7	)	)	PUNCT
ejpam-6198	473	8	m.	m.	NOUN
ejpam-6198	473	9	zafarullah	zafarullah	PROPN
ejpam-6198	473	10	et	et	PROPN
ejpam-6198	473	11	al	al	PROPN
ejpam-6198	473	12	.	.	PUNCT
ejpam-6198	473	13	/	/	SYM
ejpam-6198	473	14	eur	eur	PROPN
ejpam-6198	473	15	.	.	PUNCT
ejpam-6198	474	1	j.	j.	PROPN
ejpam-6198	474	2	pure	pure	PROPN
ejpam-6198	474	3	appl	appl	PROPN
ejpam-6198	474	4	.	.	PROPN
ejpam-6198	474	5	math	math	PROPN
ejpam-6198	474	6	,	,	PUNCT
ejpam-6198	474	7	18	18	NUM
ejpam-6198	474	8	(	(	PUNCT
ejpam-6198	474	9	4	4	NUM
ejpam-6198	474	10	)	)	PUNCT
ejpam-6198	474	11	(	(	PUNCT
ejpam-6198	474	12	2025	2025	NUM
ejpam-6198	474	13	)	)	PUNCT
ejpam-6198	474	14	,	,	PUNCT
ejpam-6198	474	15	6198	6198	NUM
ejpam-6198	474	16	23	23	NUM
ejpam-6198	474	17	of	of	ADP
ejpam-6198	474	18	41	41	NUM
ejpam-6198	474	19	×	×	NOUN
ejpam-6198	474	20	∞∑	∞∑	PROPN
ejpam-6198	474	21	i=0	i=0	PROPN
ejpam-6198	474	22	(	(	PUNCT
ejpam-6198	474	23	−νρ2m)i	−νρ2m)i	ADV
ejpam-6198	474	24	i∑	i∑	NUM
ejpam-6198	474	25	j=0	j=0	PROPN
ejpam-6198	474	26	i	i	PRON
ejpam-6198	474	27	!	!	PUNCT
ejpam-6198	474	28	j!(i−	j!(i−	PROPN
ejpam-6198	475	1	j	j	NOUN
ejpam-6198	475	2	)	)	PUNCT
ejpam-6198	475	3	!	!	PUNCT
ejpam-6198	476	1	νi−j	νi−j	NOUN
ejpam-6198	476	2	(	(	PUNCT
ejpam-6198	476	3	αβa0	αβa0	PROPN
ejpam-6198	476	4	ν	ν	PROPN
ejpam-6198	476	5	)	)	PUNCT
ejpam-6198	476	6	j	j	PROPN
ejpam-6198	476	7	∞∑	∞∑	PROPN
ejpam-6198	476	8	k=0	k=0	PROPN
ejpam-6198	476	9	(	(	PUNCT
ejpam-6198	476	10	i−	i−	PROPN
ejpam-6198	476	11	j	j	PROPN
ejpam-6198	476	12	)	)	PUNCT
ejpam-6198	476	13	!	!	PUNCT
ejpam-6198	477	1	k!(i−	k!(i−	PROPN
ejpam-6198	478	1	j	j	PROPN
ejpam-6198	479	1	−	−	PROPN
ejpam-6198	479	2	k	k	PROPN
ejpam-6198	479	3	)	)	PUNCT
ejpam-6198	479	4	!	!	PUNCT
ejpam-6198	480	1	ak1	ak1	NOUN
ejpam-6198	480	2	∞∑	∞∑	NUM
ejpam-6198	480	3	l=0	l=0	PROPN
ejpam-6198	480	4	(	(	PUNCT
ejpam-6198	480	5	−a1	−a1	PROPN
ejpam-6198	480	6	)	)	PUNCT
ejpam-6198	480	7	l	l	NOUN
ejpam-6198	481	1	×	×	NOUN
ejpam-6198	481	2	∫	∫	PROPN
ejpam-6198	481	3	t	t	NOUN
ejpam-6198	481	4	0	0	NUM
ejpam-6198	482	1	[	[	X
ejpam-6198	482	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	482	3	δ)−	δ)−	PROPN
ejpam-6198	482	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	482	5	δ)]m1,i	δ)]m1,i	PROPN
ejpam-6198	482	6	−β(k+l)(0	−β(k+l)(0	PROPN
ejpam-6198	482	7	,	,	PUNCT
ejpam-6198	482	8	δ)dδ	δ)dδ	PROPN
ejpam-6198	482	9	,	,	PUNCT
ejpam-6198	482	10	(	(	PUNCT
ejpam-6198	482	11	60	60	NUM
ejpam-6198	482	12	)	)	PUNCT
ejpam-6198	482	13	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	482	14	,	,	PUNCT
ejpam-6198	482	15	t	t	PROPN
ejpam-6198	482	16	)	)	PUNCT
ejpam-6198	482	17	=	=	SYM
ejpam-6198	482	18	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	482	19	(	(	PUNCT
ejpam-6198	482	20	π2	π2	ADJ
ejpam-6198	482	21	2	2	NUM
ejpam-6198	482	22	−π2	−π2	NOUN
ejpam-6198	482	23	1)ρ	1)ρ	NUM
ejpam-6198	482	24	2	2	NUM
ejpam-6198	482	25	[	[	X
ejpam-6198	482	26	u2g2(t)π1	u2g2(t)π1	X
ejpam-6198	482	27	−	−	PROPN
ejpam-6198	482	28	u1g1(t)π2][µ+	u1g1(t)π2][µ+	PROPN
ejpam-6198	482	29	αβao]−	αβao]−	PROPN
ejpam-6198	482	30	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	482	31	(	(	PUNCT
ejpam-6198	482	32	π2	π2	ADJ
ejpam-6198	482	33	2	2	NUM
ejpam-6198	482	34	−π2	−π2	NOUN
ejpam-6198	482	35	1)ρ	1)ρ	NUM
ejpam-6198	482	36	2	2	NUM
ejpam-6198	482	37	×	×	NOUN
ejpam-6198	482	38	∫	∫	PROPN
ejpam-6198	482	39	t	t	NOUN
ejpam-6198	482	40	0	0	NUM
ejpam-6198	483	1	[	[	X
ejpam-6198	483	2	u2π1g2(t−	u2π1g2(t−	ADJ
ejpam-6198	483	3	δ)−	δ)−	ADJ
ejpam-6198	483	4	u1π2g1(t−	u1π2g1(t−	NOUN
ejpam-6198	484	1	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	484	2	0	0	PUNCT
ejpam-6198	485	1	(	(	PUNCT
ejpam-6198	485	2	−a1	−a1	PROPN
ejpam-6198	485	3	,	,	PUNCT
ejpam-6198	485	4	δ)dδ	δ)dδ	PROPN
ejpam-6198	485	5	+	+	NUM
ejpam-6198	485	6	πh(t	πh(t	PUNCT
ejpam-6198	485	7	)	)	PUNCT
ejpam-6198	485	8	∞∑	∞∑	NUM
ejpam-6198	485	9	n=1	n=1	PROPN
ejpam-6198	485	10	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	485	11	,	,	PUNCT
ejpam-6198	485	12	ρn	ρn	NUM
ejpam-6198	485	13	)	)	PUNCT
ejpam-6198	485	14	j2	j2	NOUN
ejpam-6198	485	15	1	1	NUM
ejpam-6198	485	16	(	(	PUNCT
ejpam-6198	485	17	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	485	18	j2	j2	PROPN
ejpam-6198	485	19	1	1	NUM
ejpam-6198	485	20	(	(	PUNCT
ejpam-6198	485	21	π2ρn	π2ρn	PROPN
ejpam-6198	485	22	)	)	PUNCT
ejpam-6198	485	23	×	×	NOUN
ejpam-6198	485	24	∞∑	∞∑	PROPN
ejpam-6198	485	25	i=0	i=0	PROPN
ejpam-6198	485	26	(	(	PUNCT
ejpam-6198	485	27	−νρ2n	−νρ2n	X
ejpam-6198	485	28	)	)	PUNCT
ejpam-6198	485	29	i	i	PRON
ejpam-6198	485	30	i∑	i∑	NUM
ejpam-6198	485	31	j=0	j=0	PROPN
ejpam-6198	485	32	i	i	PRON
ejpam-6198	485	33	!	!	PUNCT
ejpam-6198	485	34	j!(i−	j!(i−	PROPN
ejpam-6198	485	35	j	j	NOUN
ejpam-6198	485	36	)	)	PUNCT
ejpam-6198	485	37	!	!	PUNCT
ejpam-6198	486	1	(	(	PUNCT
ejpam-6198	486	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	486	3	ν	ν	NOUN
ejpam-6198	486	4	)	)	PUNCT
ejpam-6198	486	5	j	j	PROPN
ejpam-6198	486	6	∞∑	∞∑	PROPN
ejpam-6198	486	7	k=0	k=0	PROPN
ejpam-6198	486	8	(	(	PUNCT
ejpam-6198	486	9	i−	i−	PROPN
ejpam-6198	486	10	j	j	PROPN
ejpam-6198	486	11	−	−	PROPN
ejpam-6198	486	12	1	1	NUM
ejpam-6198	486	13	)	)	PUNCT
ejpam-6198	486	14	!	!	PUNCT
ejpam-6198	487	1	k!(i−	k!(i−	PROPN
ejpam-6198	488	1	j	j	PROPN
ejpam-6198	489	1	−	−	PROPN
ejpam-6198	489	2	1−	1−	NUM
ejpam-6198	489	3	k	k	NOUN
ejpam-6198	489	4	)	)	PUNCT
ejpam-6198	489	5	!	!	PUNCT
ejpam-6198	490	1	ak1	ak1	NOUN
ejpam-6198	490	2	∞∑	∞∑	NUM
ejpam-6198	490	3	l=0	l=0	PROPN
ejpam-6198	490	4	(	(	PUNCT
ejpam-6198	490	5	−a1	−a1	PROPN
ejpam-6198	490	6	)	)	PUNCT
ejpam-6198	490	7	l	l	NOUN
ejpam-6198	491	1	×	×	NOUN
ejpam-6198	491	2	∫	∫	PROPN
ejpam-6198	491	3	t	t	NOUN
ejpam-6198	491	4	0	0	NUM
ejpam-6198	492	1	[	[	X
ejpam-6198	492	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	492	3	δ)−	δ)−	PROPN
ejpam-6198	492	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	492	5	δ	δ	PROPN
ejpam-6198	492	6	)	)	PUNCT
ejpam-6198	492	7	]	]	PUNCT
ejpam-6198	493	1	[	[	X
ejpam-6198	493	2	(	(	PUNCT
ejpam-6198	493	3	µ+	µ+	X
ejpam-6198	493	4	αβa0	αβa0	PROPN
ejpam-6198	493	5	)	)	PUNCT
ejpam-6198	494	1	m1,i	m1,i	PROPN
ejpam-6198	494	2	−β(k+l)(0	−β(k+l)(0	PROPN
ejpam-6198	494	3	,	,	PUNCT
ejpam-6198	494	4	δ	δ	PROPN
ejpam-6198	494	5	)	)	PUNCT
ejpam-6198	495	1	+	+	ADV
ejpam-6198	495	2	µa1m1,i	µa1m1,i	ADJ
ejpam-6198	495	3	−β(1+k+l)(0	−β(1+k+l)(0	PROPN
ejpam-6198	495	4	,	,	PUNCT
ejpam-6198	495	5	δ	δ	PROPN
ejpam-6198	495	6	)	)	PUNCT
ejpam-6198	495	7	]	]	PUNCT
ejpam-6198	496	1	dδ	dδ	ADP
ejpam-6198	496	2	,	,	PUNCT
ejpam-6198	496	3	(	(	PUNCT
ejpam-6198	496	4	61	61	NUM
ejpam-6198	496	5	)	)	PUNCT
ejpam-6198	496	6	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	496	7	,	,	PUNCT
ejpam-6198	496	8	t	t	PROPN
ejpam-6198	496	9	)	)	PUNCT
ejpam-6198	496	10	=	=	SYM
ejpam-6198	496	11	h(t	h(t	PROPN
ejpam-6198	496	12	)	)	PUNCT
ejpam-6198	496	13	ρ	ρ	PROPN
ejpam-6198	496	14	ln(π2	ln(π2	NOUN
ejpam-6198	496	15	/	/	SYM
ejpam-6198	496	16	π1	π1	NOUN
ejpam-6198	496	17	)	)	PUNCT
ejpam-6198	497	1	[	[	X
ejpam-6198	497	2	v2g4(t)−	v2g4(t)−	X
ejpam-6198	497	3	v1g3(t)](µ+	v1g3(t)](µ+	PROPN
ejpam-6198	497	4	αβao)−	αβao)−	PROPN
ejpam-6198	497	5	h(t)αβa0	h(t)αβa0	PROPN
ejpam-6198	497	6	ρ	ρ	PROPN
ejpam-6198	497	7	ln(π2	ln(π2	NOUN
ejpam-6198	497	8	/	/	SYM
ejpam-6198	497	9	π1	π1	NOUN
ejpam-6198	497	10	)	)	PUNCT
ejpam-6198	497	11	∫	∫	PROPN
ejpam-6198	498	1	t	t	NOUN
ejpam-6198	498	2	0	0	NUM
ejpam-6198	499	1	[	[	X
ejpam-6198	499	2	v2g4(t−	v2g4(t−	PRON
ejpam-6198	499	3	δ)−	δ)−	PROPN
ejpam-6198	499	4	v1g3(t−	v1g3(t−	NOUN
ejpam-6198	500	1	δ)]mβ,1	δ)]mβ,1	NOUN
ejpam-6198	500	2	0	0	NUM
ejpam-6198	501	1	(	(	PUNCT
ejpam-6198	501	2	−a1	−a1	PROPN
ejpam-6198	501	3	,	,	PUNCT
ejpam-6198	501	4	δ	δ	PROPN
ejpam-6198	501	5	)	)	PUNCT
ejpam-6198	501	6	+	+	CCONJ
ejpam-6198	501	7	πh(t	πh(t	X
ejpam-6198	501	8	)	)	PUNCT
ejpam-6198	502	1	∞∑	∞∑	PRON
ejpam-6198	502	2	m=1	m=1	PROPN
ejpam-6198	502	3	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	502	4	,	,	PUNCT
ejpam-6198	502	5	ρm	ρm	PROPN
ejpam-6198	502	6	)	)	PUNCT
ejpam-6198	502	7	j2	j2	NOUN
ejpam-6198	502	8	0	0	NUM
ejpam-6198	503	1	(	(	PUNCT
ejpam-6198	503	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	503	3	j2	j2	NOUN
ejpam-6198	503	4	0	0	NUM
ejpam-6198	503	5	(	(	PUNCT
ejpam-6198	503	6	π2ρm	π2ρm	X
ejpam-6198	503	7	)	)	PUNCT
ejpam-6198	503	8	×	×	NOUN
ejpam-6198	503	9	∞∑	∞∑	PROPN
ejpam-6198	503	10	i=0	i=0	PROPN
ejpam-6198	503	11	(	(	PUNCT
ejpam-6198	503	12	−νρ2n	−νρ2n	X
ejpam-6198	503	13	)	)	PUNCT
ejpam-6198	503	14	i	i	PRON
ejpam-6198	503	15	i∑	i∑	NUM
ejpam-6198	503	16	j=0	j=0	PROPN
ejpam-6198	503	17	i	i	PRON
ejpam-6198	503	18	!	!	PUNCT
ejpam-6198	503	19	j!(i−	j!(i−	PROPN
ejpam-6198	503	20	j	j	NOUN
ejpam-6198	503	21	)	)	PUNCT
ejpam-6198	503	22	!	!	PUNCT
ejpam-6198	504	1	(	(	PUNCT
ejpam-6198	504	2	αβa0sβ	αβa0sβ	NUM
ejpam-6198	504	3	ν	ν	NOUN
ejpam-6198	504	4	)	)	PUNCT
ejpam-6198	504	5	j	j	PROPN
ejpam-6198	504	6	∞∑	∞∑	PROPN
ejpam-6198	504	7	k=0	k=0	PROPN
ejpam-6198	504	8	(	(	PUNCT
ejpam-6198	504	9	i−	i−	PROPN
ejpam-6198	504	10	j	j	PROPN
ejpam-6198	504	11	−	−	PROPN
ejpam-6198	504	12	1	1	NUM
ejpam-6198	504	13	)	)	PUNCT
ejpam-6198	504	14	!	!	PUNCT
ejpam-6198	505	1	k!(i−	k!(i−	PROPN
ejpam-6198	506	1	j	j	PROPN
ejpam-6198	507	1	−	−	PROPN
ejpam-6198	507	2	1−	1−	NUM
ejpam-6198	507	3	k	k	NOUN
ejpam-6198	507	4	)	)	PUNCT
ejpam-6198	507	5	!	!	PUNCT
ejpam-6198	508	1	ak1	ak1	NOUN
ejpam-6198	508	2	∞∑	∞∑	NUM
ejpam-6198	508	3	l=0	l=0	PROPN
ejpam-6198	508	4	(	(	PUNCT
ejpam-6198	508	5	−a1	−a1	PROPN
ejpam-6198	508	6	)	)	PUNCT
ejpam-6198	508	7	l	l	NOUN
ejpam-6198	508	8	m.	m.	NOUN
ejpam-6198	508	9	zafarullah	zafarullah	PROPN
ejpam-6198	508	10	et	et	PROPN
ejpam-6198	508	11	al	al	PROPN
ejpam-6198	508	12	.	.	PUNCT
ejpam-6198	508	13	/	/	SYM
ejpam-6198	508	14	eur	eur	PROPN
ejpam-6198	508	15	.	.	PUNCT
ejpam-6198	509	1	j.	j.	PROPN
ejpam-6198	509	2	pure	pure	PROPN
ejpam-6198	509	3	appl	appl	PROPN
ejpam-6198	509	4	.	.	PROPN
ejpam-6198	509	5	math	math	PROPN
ejpam-6198	509	6	,	,	PUNCT
ejpam-6198	509	7	18	18	NUM
ejpam-6198	509	8	(	(	PUNCT
ejpam-6198	509	9	4	4	NUM
ejpam-6198	509	10	)	)	PUNCT
ejpam-6198	509	11	(	(	PUNCT
ejpam-6198	509	12	2025	2025	NUM
ejpam-6198	509	13	)	)	PUNCT
ejpam-6198	509	14	,	,	PUNCT
ejpam-6198	509	15	6198	6198	NUM
ejpam-6198	509	16	24	24	NUM
ejpam-6198	509	17	of	of	ADP
ejpam-6198	509	18	41	41	NUM
ejpam-6198	509	19	×	×	NOUN
ejpam-6198	509	20	∫	∫	PROPN
ejpam-6198	509	21	t	t	NOUN
ejpam-6198	509	22	0	0	NUM
ejpam-6198	510	1	[	[	X
ejpam-6198	510	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	510	3	δ)−	δ)−	PROPN
ejpam-6198	510	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	510	5	δ	δ	PROPN
ejpam-6198	510	6	)	)	PUNCT
ejpam-6198	510	7	]	]	PUNCT
ejpam-6198	511	1	[	[	X
ejpam-6198	511	2	(	(	PUNCT
ejpam-6198	511	3	µ+	µ+	X
ejpam-6198	511	4	αβa0	αβa0	PROPN
ejpam-6198	511	5	)	)	PUNCT
ejpam-6198	512	1	m1,i	m1,i	PROPN
ejpam-6198	512	2	−β(k+l)(0	−β(k+l)(0	PROPN
ejpam-6198	512	3	,	,	PUNCT
ejpam-6198	512	4	δ	δ	PROPN
ejpam-6198	512	5	)	)	PUNCT
ejpam-6198	513	1	+	+	ADV
ejpam-6198	513	2	µa1m1,i	µa1m1,i	ADJ
ejpam-6198	513	3	−β(1+k+l)(0	−β(1+k+l)(0	PROPN
ejpam-6198	513	4	,	,	PUNCT
ejpam-6198	513	5	δ	δ	PROPN
ejpam-6198	513	6	)	)	PUNCT
ejpam-6198	513	7	]	]	PUNCT
ejpam-6198	514	1	dδ	dδ	ADP
ejpam-6198	514	2	.	.	PUNCT
ejpam-6198	515	1	(	(	PUNCT
ejpam-6198	515	2	62	62	NUM
ejpam-6198	515	3	)	)	PUNCT
ejpam-6198	515	4	5.6	5.6	NUM
ejpam-6198	515	5	.	.	PUNCT
ejpam-6198	516	1	newtonian	newtonian	ADJ
ejpam-6198	516	2	with	with	ADP
ejpam-6198	516	3	porous	porous	ADJ
ejpam-6198	516	4	effect	effect	NOUN
ejpam-6198	516	5	(	(	PUNCT
ejpam-6198	516	6	α	α	X
ejpam-6198	516	7	,	,	PUNCT
ejpam-6198	516	8	gm	gm	PROPN
ejpam-6198	516	9	→	→	SYM
ejpam-6198	516	10	0	0	NUM
ejpam-6198	516	11	)	)	PUNCT
ejpam-6198	516	12	by	by	ADP
ejpam-6198	516	13	assuming	assume	VERB
ejpam-6198	516	14	α	α	PROPN
ejpam-6198	516	15	→	→	SYM
ejpam-6198	516	16	0	0	NUM
ejpam-6198	516	17	and	and	CCONJ
ejpam-6198	516	18	gm	gm	PROPN
ejpam-6198	516	19	→	→	SYM
ejpam-6198	516	20	0	0	NUM
ejpam-6198	516	21	in	in	ADP
ejpam-6198	516	22	eqs	eqs	PROPN
ejpam-6198	516	23	.	.	PUNCT
ejpam-6198	517	1	(	(	PUNCT
ejpam-6198	517	2	35	35	NUM
ejpam-6198	517	3	)	)	PUNCT
ejpam-6198	517	4	,	,	PUNCT
ejpam-6198	517	5	(	(	PUNCT
ejpam-6198	517	6	36	36	NUM
ejpam-6198	517	7	)	)	PUNCT
ejpam-6198	517	8	,	,	PUNCT
ejpam-6198	517	9	(	(	PUNCT
ejpam-6198	517	10	41	41	NUM
ejpam-6198	517	11	)	)	PUNCT
ejpam-6198	517	12	and	and	CCONJ
ejpam-6198	517	13	(	(	PUNCT
ejpam-6198	517	14	42	42	NUM
ejpam-6198	517	15	)	)	PUNCT
ejpam-6198	517	16	,	,	PUNCT
ejpam-6198	517	17	so	so	SCONJ
ejpam-6198	517	18	we	we	PRON
ejpam-6198	517	19	acquire	acquire	VERB
ejpam-6198	517	20	the	the	DET
ejpam-6198	517	21	solutions	solution	NOUN
ejpam-6198	517	22	for	for	ADP
ejpam-6198	517	23	newtonian	newtonian	NOUN
ejpam-6198	517	24	with	with	ADP
ejpam-6198	517	25	porous	porous	ADJ
ejpam-6198	517	26	effect	effect	NOUN
ejpam-6198	517	27	.	.	PUNCT
ejpam-6198	518	1	w	w	X
ejpam-6198	518	2	=	=	PUNCT
ejpam-6198	518	3	h(t	h(t	PROPN
ejpam-6198	518	4	)	)	PUNCT
ejpam-6198	518	5	(	(	PUNCT
ejpam-6198	518	6	π2	π2	ADP
ejpam-6198	518	7	2	2	NUM
ejpam-6198	518	8	−π2	−π2	NOUN
ejpam-6198	518	9	1)ρ	1)ρ	NOUN
ejpam-6198	518	10	[	[	PUNCT
ejpam-6198	518	11	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	518	12	2	2	NUM
ejpam-6198	518	13	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	518	14	2−π2	2−π2	NUM
ejpam-6198	518	15	1	1	NUM
ejpam-6198	518	16	)	)	PUNCT
ejpam-6198	518	17	]	]	PUNCT
ejpam-6198	519	1	−πh(t	−πh(t	X
ejpam-6198	519	2	)	)	PUNCT
ejpam-6198	519	3	∞∑	∞∑	PROPN
ejpam-6198	519	4	n=1	n=1	PROPN
ejpam-6198	519	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	519	6	,	,	PUNCT
ejpam-6198	519	7	ρn	ρn	PROPN
ejpam-6198	519	8	)	)	PUNCT
ejpam-6198	519	9	j2	j2	NOUN
ejpam-6198	519	10	1	1	NUM
ejpam-6198	519	11	(	(	PUNCT
ejpam-6198	519	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	519	13	j2	j2	PROPN
ejpam-6198	519	14	1	1	NUM
ejpam-6198	519	15	(	(	PUNCT
ejpam-6198	519	16	π2ρn	π2ρn	PROPN
ejpam-6198	519	17	)	)	PUNCT
ejpam-6198	519	18	×	×	NOUN
ejpam-6198	519	19	∞∑	∞∑	PROPN
ejpam-6198	519	20	i=0	i=0	PROPN
ejpam-6198	519	21	(	(	PUNCT
ejpam-6198	519	22	−νρ2n	−νρ2n	X
ejpam-6198	519	23	)	)	PUNCT
ejpam-6198	520	1	i	i	PRON
ejpam-6198	520	2	∫	∫	VERB
ejpam-6198	520	3	t	t	NOUN
ejpam-6198	520	4	0	0	NUM
ejpam-6198	521	1	[	[	X
ejpam-6198	521	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	521	3	δ)−	δ)−	PROPN
ejpam-6198	521	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	521	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	521	6	0	0	NUM
ejpam-6198	521	7	(	(	PUNCT
ejpam-6198	521	8	−νgp	−νgp	PROPN
ejpam-6198	521	9	,	,	PUNCT
ejpam-6198	521	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	521	11	,	,	PUNCT
ejpam-6198	521	12	(	(	PUNCT
ejpam-6198	521	13	63	63	NUM
ejpam-6198	521	14	)	)	PUNCT
ejpam-6198	521	15	v	v	NOUN
ejpam-6198	521	16	=	=	SYM
ejpam-6198	521	17	h(t	h(t	NUM
ejpam-6198	521	18	)	)	PUNCT
ejpam-6198	521	19	ln(π2	ln(π2	NOUN
ejpam-6198	521	20	/	/	SYM
ejpam-6198	521	21	π1	π1	NOUN
ejpam-6198	521	22	)	)	PUNCT
ejpam-6198	521	23	[	[	PUNCT
ejpam-6198	521	24	v1g3(t	v1g3(t	X
ejpam-6198	521	25	)	)	PUNCT
ejpam-6198	521	26	ln(π2	ln(π2	NOUN
ejpam-6198	521	27	/	/	SYM
ejpam-6198	521	28	ρ	ρ	NOUN
ejpam-6198	521	29	)	)	PUNCT
ejpam-6198	521	30	+	+	CCONJ
ejpam-6198	521	31	v2g4(t	v2g4(t	PROPN
ejpam-6198	521	32	)	)	PUNCT
ejpam-6198	521	33	ln(ρ	ln(ρ	PUNCT
ejpam-6198	521	34	/	/	SYM
ejpam-6198	521	35	π1	π1	NOUN
ejpam-6198	521	36	)	)	PUNCT
ejpam-6198	521	37	]	]	PUNCT
ejpam-6198	522	1	−	−	PROPN
ejpam-6198	522	2	πh(t	πh(t	PUNCT
ejpam-6198	522	3	)	)	PUNCT
ejpam-6198	523	1	∞∑	∞∑	NUM
ejpam-6198	523	2	n=1	n=1	PROPN
ejpam-6198	523	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	523	4	,	,	PUNCT
ejpam-6198	523	5	ρm	ρm	PROPN
ejpam-6198	523	6	)	)	PUNCT
ejpam-6198	523	7	j2	j2	NOUN
ejpam-6198	523	8	0	0	NUM
ejpam-6198	524	1	(	(	PUNCT
ejpam-6198	524	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	524	3	j2	j2	NOUN
ejpam-6198	524	4	0	0	NUM
ejpam-6198	524	5	(	(	PUNCT
ejpam-6198	524	6	π2ρm	π2ρm	X
ejpam-6198	524	7	)	)	PUNCT
ejpam-6198	524	8	×	×	NOUN
ejpam-6198	524	9	∞∑	∞∑	PROPN
ejpam-6198	524	10	i=0	i=0	PROPN
ejpam-6198	524	11	(	(	PUNCT
ejpam-6198	524	12	−νρ2m)i	−νρ2m)i	NUM
ejpam-6198	524	13	∫	∫	PROPN
ejpam-6198	524	14	t	t	NOUN
ejpam-6198	524	15	0	0	NUM
ejpam-6198	525	1	[	[	X
ejpam-6198	525	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	525	3	δ)−	δ)−	PROPN
ejpam-6198	525	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	525	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	525	6	0	0	NUM
ejpam-6198	525	7	(	(	PUNCT
ejpam-6198	525	8	−νgp	−νgp	PROPN
ejpam-6198	525	9	,	,	PUNCT
ejpam-6198	525	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	525	11	,	,	PUNCT
ejpam-6198	525	12	(	(	PUNCT
ejpam-6198	525	13	64	64	NUM
ejpam-6198	525	14	)	)	PUNCT
ejpam-6198	525	15	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	525	16	,	,	PUNCT
ejpam-6198	525	17	t	t	PROPN
ejpam-6198	525	18	)	)	PUNCT
ejpam-6198	525	19	=	=	SYM
ejpam-6198	525	20	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	525	21	(	(	PUNCT
ejpam-6198	525	22	π2	π2	ADJ
ejpam-6198	525	23	2	2	NUM
ejpam-6198	525	24	−π2	−π2	NOUN
ejpam-6198	525	25	1)ρ	1)ρ	NUM
ejpam-6198	525	26	2	2	NUM
ejpam-6198	525	27	[	[	PUNCT
ejpam-6198	525	28	u2g2(t)π1	u2g2(t)π1	NOUN
ejpam-6198	525	29	−	−	PROPN
ejpam-6198	525	30	u1g1(t)π2	u1g1(t)π2	NOUN
ejpam-6198	525	31	]	]	PUNCT
ejpam-6198	525	32	µ+	µ+	X
ejpam-6198	525	33	πµh(t	πµh(t	NOUN
ejpam-6198	525	34	)	)	PUNCT
ejpam-6198	525	35	∞∑	∞∑	NUM
ejpam-6198	525	36	n=1	n=1	PROPN
ejpam-6198	525	37	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	525	38	,	,	PUNCT
ejpam-6198	525	39	ρn	ρn	NUM
ejpam-6198	525	40	)	)	PUNCT
ejpam-6198	525	41	j2	j2	NOUN
ejpam-6198	525	42	1	1	NUM
ejpam-6198	525	43	(	(	PUNCT
ejpam-6198	525	44	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	525	45	j2	j2	PROPN
ejpam-6198	525	46	1	1	NUM
ejpam-6198	525	47	(	(	PUNCT
ejpam-6198	525	48	π2ρn	π2ρn	PROPN
ejpam-6198	525	49	)	)	PUNCT
ejpam-6198	525	50	×	×	NOUN
ejpam-6198	525	51	∞∑	∞∑	PROPN
ejpam-6198	525	52	i=0	i=0	PROPN
ejpam-6198	525	53	(	(	PUNCT
ejpam-6198	525	54	−νρ2n	−νρ2n	X
ejpam-6198	525	55	)	)	PUNCT
ejpam-6198	526	1	i	i	PRON
ejpam-6198	526	2	∫	∫	VERB
ejpam-6198	526	3	t	t	NOUN
ejpam-6198	526	4	0	0	NUM
ejpam-6198	527	1	[	[	X
ejpam-6198	527	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	527	3	δ)−	δ)−	PROPN
ejpam-6198	527	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	527	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	527	6	0	0	NUM
ejpam-6198	527	7	(	(	PUNCT
ejpam-6198	527	8	−νgp	−νgp	PROPN
ejpam-6198	527	9	,	,	PUNCT
ejpam-6198	527	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	527	11	,	,	PUNCT
ejpam-6198	527	12	(	(	PUNCT
ejpam-6198	527	13	65	65	NUM
ejpam-6198	527	14	)	)	PUNCT
ejpam-6198	527	15	m.	m.	NOUN
ejpam-6198	527	16	zafarullah	zafarullah	PROPN
ejpam-6198	527	17	et	et	PROPN
ejpam-6198	527	18	al	al	PROPN
ejpam-6198	527	19	.	.	PUNCT
ejpam-6198	527	20	/	/	SYM
ejpam-6198	527	21	eur	eur	PROPN
ejpam-6198	527	22	.	.	PUNCT
ejpam-6198	528	1	j.	j.	PROPN
ejpam-6198	528	2	pure	pure	PROPN
ejpam-6198	528	3	appl	appl	PROPN
ejpam-6198	528	4	.	.	PROPN
ejpam-6198	528	5	math	math	PROPN
ejpam-6198	528	6	,	,	PUNCT
ejpam-6198	528	7	18	18	NUM
ejpam-6198	528	8	(	(	PUNCT
ejpam-6198	528	9	4	4	NUM
ejpam-6198	528	10	)	)	PUNCT
ejpam-6198	528	11	(	(	PUNCT
ejpam-6198	528	12	2025	2025	NUM
ejpam-6198	528	13	)	)	PUNCT
ejpam-6198	528	14	,	,	PUNCT
ejpam-6198	528	15	6198	6198	NUM
ejpam-6198	528	16	25	25	NUM
ejpam-6198	528	17	of	of	ADP
ejpam-6198	528	18	41	41	NUM
ejpam-6198	528	19	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	528	20	,	,	PUNCT
ejpam-6198	528	21	t	t	PROPN
ejpam-6198	528	22	)	)	PUNCT
ejpam-6198	528	23	=	=	SYM
ejpam-6198	528	24	h(t	h(t	PROPN
ejpam-6198	528	25	)	)	PUNCT
ejpam-6198	528	26	ρ	ρ	PROPN
ejpam-6198	528	27	ln(π2	ln(π2	NOUN
ejpam-6198	528	28	/	/	SYM
ejpam-6198	528	29	π1	π1	NOUN
ejpam-6198	528	30	)	)	PUNCT
ejpam-6198	529	1	[	[	X
ejpam-6198	529	2	v2g4(t)−	v2g4(t)−	NOUN
ejpam-6198	529	3	v1g3(t)]µ+	v1g3(t)]µ+	NOUN
ejpam-6198	529	4	πµh(t	πµh(t	PRON
ejpam-6198	529	5	)	)	PUNCT
ejpam-6198	529	6	∞∑	∞∑	PRON
ejpam-6198	529	7	m=1	m=1	PROPN
ejpam-6198	529	8	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	529	9	,	,	PUNCT
ejpam-6198	529	10	ρm	ρm	PROPN
ejpam-6198	529	11	)	)	PUNCT
ejpam-6198	529	12	j2	j2	NOUN
ejpam-6198	529	13	0	0	NUM
ejpam-6198	530	1	(	(	PUNCT
ejpam-6198	530	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	530	3	j2	j2	NOUN
ejpam-6198	530	4	0	0	NUM
ejpam-6198	530	5	(	(	PUNCT
ejpam-6198	530	6	π2ρm	π2ρm	X
ejpam-6198	530	7	)	)	PUNCT
ejpam-6198	530	8	×	×	NOUN
ejpam-6198	530	9	∞∑	∞∑	PROPN
ejpam-6198	530	10	i=0	i=0	PROPN
ejpam-6198	530	11	(	(	PUNCT
ejpam-6198	530	12	−νρ2m)i	−νρ2m)i	NUM
ejpam-6198	530	13	∫	∫	PROPN
ejpam-6198	530	14	t	t	NOUN
ejpam-6198	530	15	0	0	NUM
ejpam-6198	531	1	[	[	X
ejpam-6198	531	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	531	3	δ)−	δ)−	PROPN
ejpam-6198	531	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	531	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	531	6	0	0	NUM
ejpam-6198	531	7	(	(	PUNCT
ejpam-6198	531	8	−νgp	−νgp	PROPN
ejpam-6198	531	9	,	,	PUNCT
ejpam-6198	531	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	531	11	.	.	PROPN
ejpam-6198	532	1	(	(	PUNCT
ejpam-6198	532	2	66	66	NUM
ejpam-6198	532	3	)	)	PUNCT
ejpam-6198	532	4	5.7	5.7	NUM
ejpam-6198	532	5	.	.	PUNCT
ejpam-6198	533	1	newtonian	newtonian	ADJ
ejpam-6198	533	2	with	with	ADP
ejpam-6198	533	3	magnetic	magnetic	ADJ
ejpam-6198	533	4	effect	effect	NOUN
ejpam-6198	533	5	(	(	PUNCT
ejpam-6198	533	6	α	α	NOUN
ejpam-6198	533	7	,	,	PUNCT
ejpam-6198	533	8	gp	gp	NOUN
ejpam-6198	533	9	→	→	X
ejpam-6198	533	10	0	0	NUM
ejpam-6198	533	11	)	)	PUNCT
ejpam-6198	533	12	by	by	ADP
ejpam-6198	533	13	assuming	assume	VERB
ejpam-6198	533	14	α	α	PROPN
ejpam-6198	533	15	→	→	SYM
ejpam-6198	533	16	0	0	NUM
ejpam-6198	533	17	and	and	CCONJ
ejpam-6198	533	18	gp	gp	NOUN
ejpam-6198	533	19	→	→	SYM
ejpam-6198	533	20	0	0	NUM
ejpam-6198	533	21	into	into	ADP
ejpam-6198	533	22	eqs	eqs	PROPN
ejpam-6198	533	23	.	.	PUNCT
ejpam-6198	534	1	(	(	PUNCT
ejpam-6198	534	2	35	35	NUM
ejpam-6198	534	3	)	)	PUNCT
ejpam-6198	534	4	,	,	PUNCT
ejpam-6198	534	5	(	(	PUNCT
ejpam-6198	534	6	36	36	NUM
ejpam-6198	534	7	)	)	PUNCT
ejpam-6198	534	8	,	,	PUNCT
ejpam-6198	534	9	(	(	PUNCT
ejpam-6198	534	10	41	41	NUM
ejpam-6198	534	11	)	)	PUNCT
ejpam-6198	534	12	and	and	CCONJ
ejpam-6198	534	13	(	(	PUNCT
ejpam-6198	534	14	42	42	NUM
ejpam-6198	534	15	)	)	PUNCT
ejpam-6198	534	16	,	,	PUNCT
ejpam-6198	534	17	so	so	SCONJ
ejpam-6198	534	18	we	we	PRON
ejpam-6198	534	19	acquire	acquire	VERB
ejpam-6198	534	20	the	the	DET
ejpam-6198	534	21	solutions	solution	NOUN
ejpam-6198	534	22	for	for	ADP
ejpam-6198	534	23	newtonian	newtonian	NOUN
ejpam-6198	534	24	with	with	ADP
ejpam-6198	534	25	magnetic	magnetic	ADJ
ejpam-6198	534	26	effect	effect	NOUN
ejpam-6198	534	27	.	.	PUNCT
ejpam-6198	535	1	w	w	X
ejpam-6198	535	2	=	=	PUNCT
ejpam-6198	535	3	h(t	h(t	PROPN
ejpam-6198	535	4	)	)	PUNCT
ejpam-6198	535	5	(	(	PUNCT
ejpam-6198	535	6	π2	π2	ADP
ejpam-6198	535	7	2	2	NUM
ejpam-6198	535	8	−π2	−π2	NOUN
ejpam-6198	535	9	1)ρ	1)ρ	NOUN
ejpam-6198	535	10	[	[	PUNCT
ejpam-6198	535	11	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	535	12	2	2	NUM
ejpam-6198	535	13	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	535	14	2−π2	2−π2	NUM
ejpam-6198	535	15	1	1	NUM
ejpam-6198	535	16	)	)	PUNCT
ejpam-6198	535	17	]	]	PUNCT
ejpam-6198	536	1	−πh(t	−πh(t	X
ejpam-6198	536	2	)	)	PUNCT
ejpam-6198	536	3	∞∑	∞∑	PROPN
ejpam-6198	536	4	n=1	n=1	PROPN
ejpam-6198	536	5	j1(π1ρn)d1(ρ	j1(π1ρn)d1(ρ	PROPN
ejpam-6198	536	6	,	,	PUNCT
ejpam-6198	536	7	ρn	ρn	PROPN
ejpam-6198	536	8	)	)	PUNCT
ejpam-6198	536	9	j2	j2	NOUN
ejpam-6198	536	10	1	1	NUM
ejpam-6198	536	11	(	(	PUNCT
ejpam-6198	536	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	536	13	j2	j2	PROPN
ejpam-6198	536	14	1	1	NUM
ejpam-6198	536	15	(	(	PUNCT
ejpam-6198	536	16	π2ρn	π2ρn	PROPN
ejpam-6198	536	17	)	)	PUNCT
ejpam-6198	536	18	×	×	NOUN
ejpam-6198	536	19	∞∑	∞∑	PROPN
ejpam-6198	536	20	i=0	i=0	PROPN
ejpam-6198	536	21	(	(	PUNCT
ejpam-6198	536	22	−νρ2n	−νρ2n	X
ejpam-6198	536	23	)	)	PUNCT
ejpam-6198	537	1	i	i	PRON
ejpam-6198	537	2	∫	∫	VERB
ejpam-6198	537	3	t	t	NOUN
ejpam-6198	537	4	0	0	NUM
ejpam-6198	538	1	[	[	X
ejpam-6198	538	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	538	3	δ)−	δ)−	PROPN
ejpam-6198	538	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	538	5	δ)]m1,i	δ)]m1,i	PROPN
ejpam-6198	538	6	0	0	NUM
ejpam-6198	538	7	(	(	PUNCT
ejpam-6198	538	8	−gm	−gm	PROPN
ejpam-6198	538	9	,	,	PUNCT
ejpam-6198	538	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	538	11	,	,	PUNCT
ejpam-6198	538	12	(	(	PUNCT
ejpam-6198	538	13	67	67	NUM
ejpam-6198	538	14	)	)	PUNCT
ejpam-6198	538	15	v	v	NOUN
ejpam-6198	538	16	=	=	SYM
ejpam-6198	538	17	h(t	h(t	NUM
ejpam-6198	538	18	)	)	PUNCT
ejpam-6198	538	19	ln(π2	ln(π2	NOUN
ejpam-6198	538	20	/	/	SYM
ejpam-6198	538	21	π1	π1	NOUN
ejpam-6198	538	22	)	)	PUNCT
ejpam-6198	538	23	[	[	PUNCT
ejpam-6198	538	24	v1g3(t	v1g3(t	X
ejpam-6198	538	25	)	)	PUNCT
ejpam-6198	538	26	ln(π2	ln(π2	NOUN
ejpam-6198	538	27	/	/	SYM
ejpam-6198	538	28	ρ	ρ	NOUN
ejpam-6198	538	29	)	)	PUNCT
ejpam-6198	538	30	+	+	CCONJ
ejpam-6198	538	31	v2g4(t	v2g4(t	PROPN
ejpam-6198	538	32	)	)	PUNCT
ejpam-6198	538	33	ln(ρ	ln(ρ	PUNCT
ejpam-6198	538	34	/	/	SYM
ejpam-6198	538	35	π1	π1	NOUN
ejpam-6198	538	36	)	)	PUNCT
ejpam-6198	538	37	]	]	PUNCT
ejpam-6198	539	1	−	−	PROPN
ejpam-6198	539	2	πh(t	πh(t	PUNCT
ejpam-6198	539	3	)	)	PUNCT
ejpam-6198	540	1	∞∑	∞∑	NUM
ejpam-6198	540	2	n=1	n=1	PROPN
ejpam-6198	540	3	j0(π1ρm)d0(ρ	j0(π1ρm)d0(ρ	PROPN
ejpam-6198	540	4	,	,	PUNCT
ejpam-6198	540	5	ρm	ρm	PROPN
ejpam-6198	540	6	)	)	PUNCT
ejpam-6198	540	7	j2	j2	NOUN
ejpam-6198	540	8	0	0	NUM
ejpam-6198	541	1	(	(	PUNCT
ejpam-6198	541	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	541	3	j2	j2	NOUN
ejpam-6198	541	4	0	0	NUM
ejpam-6198	541	5	(	(	PUNCT
ejpam-6198	541	6	π2ρm	π2ρm	X
ejpam-6198	541	7	)	)	PUNCT
ejpam-6198	541	8	×	×	NOUN
ejpam-6198	541	9	∞∑	∞∑	PROPN
ejpam-6198	541	10	i=0	i=0	PROPN
ejpam-6198	541	11	(	(	PUNCT
ejpam-6198	541	12	−νρ2m)i	−νρ2m)i	NUM
ejpam-6198	541	13	∫	∫	PROPN
ejpam-6198	541	14	t	t	NOUN
ejpam-6198	541	15	0	0	NUM
ejpam-6198	542	1	[	[	X
ejpam-6198	542	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	542	3	δ)−	δ)−	PROPN
ejpam-6198	542	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	542	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	542	6	0	0	NUM
ejpam-6198	542	7	(	(	PUNCT
ejpam-6198	542	8	−gm	−gm	PROPN
ejpam-6198	542	9	,	,	PUNCT
ejpam-6198	542	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	542	11	,	,	PUNCT
ejpam-6198	542	12	(	(	PUNCT
ejpam-6198	542	13	68	68	NUM
ejpam-6198	542	14	)	)	PUNCT
ejpam-6198	542	15	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	542	16	,	,	PUNCT
ejpam-6198	542	17	t	t	PROPN
ejpam-6198	542	18	)	)	PUNCT
ejpam-6198	542	19	=	=	SYM
ejpam-6198	542	20	2π1π2	2π1π2	NUM
ejpam-6198	542	21	(	(	PUNCT
ejpam-6198	542	22	π2	π2	PROPN
ejpam-6198	542	23	2	2	NUM
ejpam-6198	542	24	−π2	−π2	NOUN
ejpam-6198	542	25	1)ρ	1)ρ	NUM
ejpam-6198	542	26	2	2	NUM
ejpam-6198	542	27	h(t	h(t	NUM
ejpam-6198	542	28	)	)	PUNCT
ejpam-6198	542	29	[	[	PUNCT
ejpam-6198	542	30	u2g2(t)π1−u1g1(t)π2	u2g2(t)π1−u1g1(t)π2	X
ejpam-6198	542	31	]	]	X
ejpam-6198	542	32	µ+πµh(t	µ+πµh(t	X
ejpam-6198	542	33	)	)	PUNCT
ejpam-6198	542	34	∞∑	∞∑	PROPN
ejpam-6198	542	35	n=1	n=1	PROPN
ejpam-6198	542	36	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	542	37	,	,	PUNCT
ejpam-6198	542	38	ρn	ρn	NUM
ejpam-6198	542	39	)	)	PUNCT
ejpam-6198	542	40	j2	j2	NOUN
ejpam-6198	542	41	1	1	NUM
ejpam-6198	542	42	(	(	PUNCT
ejpam-6198	542	43	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	542	44	j2	j2	PROPN
ejpam-6198	542	45	1	1	NUM
ejpam-6198	542	46	(	(	PUNCT
ejpam-6198	542	47	π2ρn	π2ρn	PROPN
ejpam-6198	542	48	)	)	PUNCT
ejpam-6198	542	49	×	×	NOUN
ejpam-6198	542	50	∞∑	∞∑	PROPN
ejpam-6198	542	51	i=0	i=0	PROPN
ejpam-6198	542	52	(	(	PUNCT
ejpam-6198	542	53	−νρ2n	−νρ2n	X
ejpam-6198	542	54	)	)	PUNCT
ejpam-6198	543	1	i(gm)h	i(gm)h	NUM
ejpam-6198	543	2	∫	∫	PROPN
ejpam-6198	543	3	t	t	NOUN
ejpam-6198	543	4	0	0	NUM
ejpam-6198	544	1	[	[	X
ejpam-6198	544	2	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,i	u2j1(π1ρn)g2(t−δ)−u1j1(π2ρn)g1(t−δ)]m1,i	PROPN
ejpam-6198	544	3	0	0	NUM
ejpam-6198	544	4	(	(	PUNCT
ejpam-6198	544	5	−gm	−gm	PROPN
ejpam-6198	544	6	,	,	PUNCT
ejpam-6198	544	7	δ)dδ	δ)dδ	PROPN
ejpam-6198	544	8	,	,	PUNCT
ejpam-6198	544	9	(	(	PUNCT
ejpam-6198	544	10	69	69	NUM
ejpam-6198	544	11	)	)	PUNCT
ejpam-6198	544	12	m.	m.	NOUN
ejpam-6198	544	13	zafarullah	zafarullah	PROPN
ejpam-6198	544	14	et	et	PROPN
ejpam-6198	544	15	al	al	PROPN
ejpam-6198	544	16	.	.	PUNCT
ejpam-6198	544	17	/	/	SYM
ejpam-6198	544	18	eur	eur	PROPN
ejpam-6198	544	19	.	.	PUNCT
ejpam-6198	545	1	j.	j.	PROPN
ejpam-6198	545	2	pure	pure	PROPN
ejpam-6198	545	3	appl	appl	PROPN
ejpam-6198	545	4	.	.	PROPN
ejpam-6198	545	5	math	math	PROPN
ejpam-6198	545	6	,	,	PUNCT
ejpam-6198	545	7	18	18	NUM
ejpam-6198	545	8	(	(	PUNCT
ejpam-6198	545	9	4	4	NUM
ejpam-6198	545	10	)	)	PUNCT
ejpam-6198	545	11	(	(	PUNCT
ejpam-6198	545	12	2025	2025	NUM
ejpam-6198	545	13	)	)	PUNCT
ejpam-6198	545	14	,	,	PUNCT
ejpam-6198	545	15	6198	6198	NUM
ejpam-6198	545	16	26	26	NUM
ejpam-6198	545	17	of	of	ADP
ejpam-6198	545	18	41	41	NUM
ejpam-6198	545	19	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	545	20	,	,	PUNCT
ejpam-6198	545	21	t	t	PROPN
ejpam-6198	545	22	)	)	PUNCT
ejpam-6198	545	23	=	=	SYM
ejpam-6198	545	24	h(t	h(t	PROPN
ejpam-6198	545	25	)	)	PUNCT
ejpam-6198	545	26	ρ	ρ	PROPN
ejpam-6198	545	27	ln(π2	ln(π2	NOUN
ejpam-6198	545	28	/	/	SYM
ejpam-6198	545	29	π1	π1	NOUN
ejpam-6198	545	30	)	)	PUNCT
ejpam-6198	546	1	[	[	X
ejpam-6198	546	2	v2g4(t)−	v2g4(t)−	NOUN
ejpam-6198	546	3	v1g3(t)]µ+	v1g3(t)]µ+	NOUN
ejpam-6198	546	4	πµh(t	πµh(t	PRON
ejpam-6198	546	5	)	)	PUNCT
ejpam-6198	546	6	∞∑	∞∑	PROPN
ejpam-6198	546	7	m=1	m=1	PROPN
ejpam-6198	546	8	ρmj0(π1ρm)d̃0(ρ	ρmj0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	546	9	,	,	PUNCT
ejpam-6198	546	10	ρm	ρm	PROPN
ejpam-6198	546	11	)	)	PUNCT
ejpam-6198	546	12	j2	j2	NOUN
ejpam-6198	546	13	0	0	NUM
ejpam-6198	547	1	(	(	PUNCT
ejpam-6198	547	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	547	3	j2	j2	NOUN
ejpam-6198	547	4	0	0	NUM
ejpam-6198	547	5	(	(	PUNCT
ejpam-6198	547	6	π2ρm	π2ρm	X
ejpam-6198	547	7	)	)	PUNCT
ejpam-6198	547	8	h(t	h(t	NUM
ejpam-6198	547	9	)	)	PUNCT
ejpam-6198	547	10	×	×	PROPN
ejpam-6198	547	11	∞∑	∞∑	PROPN
ejpam-6198	547	12	i=0	i=0	PROPN
ejpam-6198	547	13	(	(	PUNCT
ejpam-6198	547	14	−νρ2m)i	−νρ2m)i	NUM
ejpam-6198	547	15	∫	∫	PROPN
ejpam-6198	547	16	t	t	NOUN
ejpam-6198	547	17	0	0	NUM
ejpam-6198	548	1	[	[	X
ejpam-6198	548	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	548	3	δ)−	δ)−	PROPN
ejpam-6198	548	4	v1j0(π2ρm)g3(t−	v1j0(π2ρm)g3(t−	PROPN
ejpam-6198	548	5	δ)]m1,i	δ)]m1,i	NOUN
ejpam-6198	548	6	0	0	NUM
ejpam-6198	548	7	(	(	PUNCT
ejpam-6198	548	8	−gm	−gm	PROPN
ejpam-6198	548	9	,	,	PUNCT
ejpam-6198	548	10	δ)dδ	δ)dδ	PROPN
ejpam-6198	548	11	.	.	PUNCT
ejpam-6198	549	1	(	(	PUNCT
ejpam-6198	549	2	70	70	NUM
ejpam-6198	549	3	)	)	PUNCT
ejpam-6198	549	4	5.8	5.8	NUM
ejpam-6198	549	5	.	.	PUNCT
ejpam-6198	550	1	newtonian	newtonian	PROPN
ejpam-6198	550	2	(	(	PUNCT
ejpam-6198	550	3	α	α	NOUN
ejpam-6198	550	4	,	,	PUNCT
ejpam-6198	550	5	gp	gp	NOUN
ejpam-6198	550	6	,	,	PUNCT
ejpam-6198	550	7	gm	gm	PROPN
ejpam-6198	550	8	→	→	SYM
ejpam-6198	550	9	0	0	NUM
ejpam-6198	550	10	)	)	PUNCT
ejpam-6198	550	11	by	by	ADP
ejpam-6198	550	12	assuming	assume	VERB
ejpam-6198	550	13	α	α	PROPN
ejpam-6198	550	14	→	→	SYM
ejpam-6198	550	15	0	0	NUM
ejpam-6198	550	16	,	,	PUNCT
ejpam-6198	550	17	gp	gp	NOUN
ejpam-6198	550	18	→	→	SYM
ejpam-6198	550	19	0	0	NUM
ejpam-6198	550	20	and	and	CCONJ
ejpam-6198	550	21	gm	gm	PROPN
ejpam-6198	550	22	→	→	SYM
ejpam-6198	550	23	0	0	PROPN
ejpam-6198	550	24	into	into	ADP
ejpam-6198	550	25	eqs	eqs	PROPN
ejpam-6198	550	26	.	.	PUNCT
ejpam-6198	551	1	(	(	PUNCT
ejpam-6198	551	2	35	35	NUM
ejpam-6198	551	3	)	)	PUNCT
ejpam-6198	551	4	,	,	PUNCT
ejpam-6198	551	5	(	(	PUNCT
ejpam-6198	551	6	36	36	NUM
ejpam-6198	551	7	)	)	PUNCT
ejpam-6198	551	8	,	,	PUNCT
ejpam-6198	551	9	(	(	PUNCT
ejpam-6198	551	10	41	41	NUM
ejpam-6198	551	11	)	)	PUNCT
ejpam-6198	551	12	and	and	CCONJ
ejpam-6198	551	13	(	(	PUNCT
ejpam-6198	551	14	42	42	NUM
ejpam-6198	551	15	)	)	PUNCT
ejpam-6198	551	16	,	,	PUNCT
ejpam-6198	551	17	so	so	SCONJ
ejpam-6198	551	18	we	we	PRON
ejpam-6198	551	19	acquire	acquire	VERB
ejpam-6198	551	20	the	the	DET
ejpam-6198	551	21	solutions	solution	NOUN
ejpam-6198	551	22	for	for	ADP
ejpam-6198	551	23	newtonian	newtonian	NOUN
ejpam-6198	551	24	.	.	PUNCT
ejpam-6198	552	1	w	w	X
ejpam-6198	552	2	=	=	PUNCT
ejpam-6198	552	3	h(t	h(t	PROPN
ejpam-6198	552	4	)	)	PUNCT
ejpam-6198	553	1	(	(	PUNCT
ejpam-6198	553	2	π2	π2	ADP
ejpam-6198	553	3	2	2	NUM
ejpam-6198	553	4	−π2	−π2	NOUN
ejpam-6198	553	5	1)ρ	1)ρ	NOUN
ejpam-6198	553	6	[	[	PUNCT
ejpam-6198	553	7	u1g1(t)π1(π	u1g1(t)π1(π	NUM
ejpam-6198	553	8	2	2	NUM
ejpam-6198	553	9	2−ρ2)+u2g2(t)π2(ρ	2−ρ2)+u2g2(t)π2(ρ	NUM
ejpam-6198	553	10	2−π2	2−π2	NUM
ejpam-6198	553	11	1	1	NUM
ejpam-6198	553	12	)	)	PUNCT
ejpam-6198	553	13	]	]	PUNCT
ejpam-6198	554	1	−πh(t	−πh(t	X
ejpam-6198	554	2	)	)	PUNCT
ejpam-6198	554	3	∞∑	∞∑	PROPN
ejpam-6198	554	4	n=1	n=1	PROPN
ejpam-6198	554	5	j1(π1ρn)d0(ρ	j1(π1ρn)d0(ρ	PROPN
ejpam-6198	554	6	,	,	PUNCT
ejpam-6198	554	7	ρn	ρn	PROPN
ejpam-6198	554	8	)	)	PUNCT
ejpam-6198	554	9	j2	j2	NOUN
ejpam-6198	554	10	1	1	NUM
ejpam-6198	554	11	(	(	PUNCT
ejpam-6198	554	12	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	554	13	j2	j2	PROPN
ejpam-6198	554	14	1	1	NUM
ejpam-6198	554	15	(	(	PUNCT
ejpam-6198	554	16	π2ρn	π2ρn	PROPN
ejpam-6198	554	17	)	)	PUNCT
ejpam-6198	554	18	×	×	NOUN
ejpam-6198	555	1	∫	∫	PROPN
ejpam-6198	555	2	t	t	NOUN
ejpam-6198	555	3	0	0	NUM
ejpam-6198	556	1	[	[	X
ejpam-6198	556	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	556	3	δ)−	δ)−	PROPN
ejpam-6198	556	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	556	5	δ)][1−	δ)][1−	PROPN
ejpam-6198	556	6	e−νρ2nδ]dδ	e−νρ2nδ]dδ	NOUN
ejpam-6198	556	7	,	,	PUNCT
ejpam-6198	556	8	(	(	PUNCT
ejpam-6198	556	9	71	71	NUM
ejpam-6198	556	10	)	)	PUNCT
ejpam-6198	556	11	v	v	NOUN
ejpam-6198	556	12	=	=	SYM
ejpam-6198	556	13	h(t	h(t	NUM
ejpam-6198	556	14	)	)	PUNCT
ejpam-6198	556	15	ln(π2	ln(π2	NOUN
ejpam-6198	556	16	/	/	SYM
ejpam-6198	556	17	π1	π1	NOUN
ejpam-6198	556	18	)	)	PUNCT
ejpam-6198	556	19	[	[	PUNCT
ejpam-6198	556	20	v1g3(t	v1g3(t	X
ejpam-6198	556	21	)	)	PUNCT
ejpam-6198	556	22	ln(π2	ln(π2	NOUN
ejpam-6198	556	23	/	/	SYM
ejpam-6198	556	24	ρ	ρ	NOUN
ejpam-6198	556	25	)	)	PUNCT
ejpam-6198	556	26	+	+	CCONJ
ejpam-6198	556	27	v2g4(t	v2g4(t	PROPN
ejpam-6198	556	28	)	)	PUNCT
ejpam-6198	556	29	ln(ρ	ln(ρ	PUNCT
ejpam-6198	556	30	/	/	SYM
ejpam-6198	556	31	π1	π1	NOUN
ejpam-6198	556	32	)	)	PUNCT
ejpam-6198	556	33	]	]	PUNCT
ejpam-6198	556	34	−	−	PROPN
ejpam-6198	556	35	πh(t	πh(t	PUNCT
ejpam-6198	556	36	)	)	PUNCT
ejpam-6198	556	37	∞∑	∞∑	NUM
ejpam-6198	556	38	n=1	n=1	PROPN
ejpam-6198	556	39	j0(π1ρm)d1(ρ	j0(π1ρm)d1(ρ	PROPN
ejpam-6198	556	40	,	,	PUNCT
ejpam-6198	556	41	ρm	ρm	NOUN
ejpam-6198	556	42	)	)	PUNCT
ejpam-6198	556	43	j2	j2	NOUN
ejpam-6198	556	44	0	0	NUM
ejpam-6198	557	1	(	(	PUNCT
ejpam-6198	557	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	557	3	j2	j2	NOUN
ejpam-6198	557	4	0	0	NUM
ejpam-6198	557	5	(	(	PUNCT
ejpam-6198	557	6	π2ρm	π2ρm	X
ejpam-6198	557	7	)	)	PUNCT
ejpam-6198	557	8	×	×	NOUN
ejpam-6198	557	9	∫	∫	PROPN
ejpam-6198	557	10	t	t	NOUN
ejpam-6198	557	11	0	0	NUM
ejpam-6198	558	1	[	[	X
ejpam-6198	558	2	v2j0(π1ρm)g4(t−	v2j0(π1ρm)g4(t−	PROPN
ejpam-6198	558	3	δ)−	δ)−	PROPN
ejpam-6198	558	4	v2j0(π2ρm)g3(t−	v2j0(π2ρm)g3(t−	PROPN
ejpam-6198	558	5	δ)][1−	δ)][1−	PROPN
ejpam-6198	558	6	e−νρ2mδ]dδ	e−νρ2mδ]dδ	NOUN
ejpam-6198	558	7	,	,	PUNCT
ejpam-6198	558	8	(	(	PUNCT
ejpam-6198	558	9	72	72	X
ejpam-6198	558	10	)	)	PUNCT
ejpam-6198	558	11	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	558	12	,	,	PUNCT
ejpam-6198	558	13	t	t	PROPN
ejpam-6198	558	14	)	)	PUNCT
ejpam-6198	558	15	=	=	SYM
ejpam-6198	558	16	2h(t)π1π2	2h(t)π1π2	NOUN
ejpam-6198	558	17	(	(	PUNCT
ejpam-6198	558	18	π2	π2	ADJ
ejpam-6198	558	19	2	2	NUM
ejpam-6198	558	20	−π2	−π2	NOUN
ejpam-6198	558	21	1)ρ	1)ρ	NUM
ejpam-6198	558	22	2	2	NUM
ejpam-6198	558	23	[	[	PUNCT
ejpam-6198	558	24	u2g2(t)π1	u2g2(t)π1	NOUN
ejpam-6198	558	25	−	−	PROPN
ejpam-6198	558	26	u1g1(t)π2	u1g1(t)π2	NOUN
ejpam-6198	558	27	]	]	PUNCT
ejpam-6198	558	28	µ+	µ+	X
ejpam-6198	558	29	πµh(t	πµh(t	NOUN
ejpam-6198	558	30	)	)	PUNCT
ejpam-6198	558	31	∞∑	∞∑	NUM
ejpam-6198	558	32	n=1	n=1	PROPN
ejpam-6198	558	33	j1(π1ρn)d̃1(ρ	j1(π1ρn)d̃1(ρ	PROPN
ejpam-6198	558	34	,	,	PUNCT
ejpam-6198	558	35	ρn	ρn	NUM
ejpam-6198	558	36	)	)	PUNCT
ejpam-6198	558	37	j2	j2	NOUN
ejpam-6198	558	38	1	1	NUM
ejpam-6198	558	39	(	(	PUNCT
ejpam-6198	558	40	π1ρn)−	π1ρn)−	PROPN
ejpam-6198	558	41	j2	j2	PROPN
ejpam-6198	558	42	1	1	NUM
ejpam-6198	558	43	(	(	PUNCT
ejpam-6198	558	44	π2ρn	π2ρn	PROPN
ejpam-6198	558	45	)	)	PUNCT
ejpam-6198	559	1	×	×	NOUN
ejpam-6198	560	1	∫	∫	PROPN
ejpam-6198	560	2	t	t	NOUN
ejpam-6198	560	3	0	0	NUM
ejpam-6198	561	1	[	[	X
ejpam-6198	561	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	561	3	δ)−	δ)−	PROPN
ejpam-6198	561	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	561	5	δ)][1−	δ)][1−	PROPN
ejpam-6198	561	6	e−νρ2nδ]dδ	e−νρ2nδ]dδ	NOUN
ejpam-6198	561	7	,	,	PUNCT
ejpam-6198	561	8	(	(	PUNCT
ejpam-6198	561	9	73	73	NUM
ejpam-6198	561	10	)	)	PUNCT
ejpam-6198	561	11	m.	m.	NOUN
ejpam-6198	561	12	zafarullah	zafarullah	PROPN
ejpam-6198	561	13	et	et	PROPN
ejpam-6198	561	14	al	al	PROPN
ejpam-6198	561	15	.	.	PUNCT
ejpam-6198	561	16	/	/	SYM
ejpam-6198	561	17	eur	eur	PROPN
ejpam-6198	561	18	.	.	PUNCT
ejpam-6198	562	1	j.	j.	PROPN
ejpam-6198	562	2	pure	pure	PROPN
ejpam-6198	562	3	appl	appl	PROPN
ejpam-6198	562	4	.	.	PROPN
ejpam-6198	562	5	math	math	PROPN
ejpam-6198	562	6	,	,	PUNCT
ejpam-6198	562	7	18	18	NUM
ejpam-6198	562	8	(	(	PUNCT
ejpam-6198	562	9	4	4	NUM
ejpam-6198	562	10	)	)	PUNCT
ejpam-6198	562	11	(	(	PUNCT
ejpam-6198	562	12	2025	2025	NUM
ejpam-6198	562	13	)	)	PUNCT
ejpam-6198	562	14	,	,	PUNCT
ejpam-6198	562	15	6198	6198	NUM
ejpam-6198	562	16	27	27	NUM
ejpam-6198	562	17	of	of	ADP
ejpam-6198	562	18	41	41	NUM
ejpam-6198	562	19	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	562	20	,	,	PUNCT
ejpam-6198	562	21	t	t	PROPN
ejpam-6198	562	22	)	)	PUNCT
ejpam-6198	562	23	=	=	SYM
ejpam-6198	562	24	h(t	h(t	PROPN
ejpam-6198	562	25	)	)	PUNCT
ejpam-6198	562	26	ρ	ρ	PROPN
ejpam-6198	562	27	ln(π2	ln(π2	NOUN
ejpam-6198	562	28	/	/	SYM
ejpam-6198	562	29	π1	π1	NOUN
ejpam-6198	562	30	)	)	PUNCT
ejpam-6198	563	1	[	[	X
ejpam-6198	563	2	v2g4(t)−	v2g4(t)−	ADP
ejpam-6198	563	3	v1g3(t)µ+	v1g3(t)µ+	ADJ
ejpam-6198	563	4	πµh(t	πµh(t	NUM
ejpam-6198	563	5	)	)	PUNCT
ejpam-6198	563	6	∞∑	∞∑	PROPN
ejpam-6198	563	7	m=1	m=1	PROPN
ejpam-6198	563	8	j0(π1ρm)d̃0(ρ	j0(π1ρm)d̃0(ρ	PROPN
ejpam-6198	563	9	,	,	PUNCT
ejpam-6198	563	10	ρm	ρm	PROPN
ejpam-6198	563	11	)	)	PUNCT
ejpam-6198	563	12	j2	j2	NOUN
ejpam-6198	563	13	0	0	NUM
ejpam-6198	564	1	(	(	PUNCT
ejpam-6198	564	2	π1ρm)−	π1ρm)−	NOUN
ejpam-6198	564	3	j2	j2	NOUN
ejpam-6198	564	4	0	0	NUM
ejpam-6198	564	5	(	(	PUNCT
ejpam-6198	564	6	π2ρm	π2ρm	X
ejpam-6198	564	7	)	)	PUNCT
ejpam-6198	564	8	×	×	NOUN
ejpam-6198	564	9	∫	∫	PROPN
ejpam-6198	564	10	t	t	NOUN
ejpam-6198	564	11	0	0	NUM
ejpam-6198	565	1	[	[	X
ejpam-6198	565	2	u2j1(π1ρn)g2(t−	u2j1(π1ρn)g2(t−	X
ejpam-6198	565	3	δ)−	δ)−	PROPN
ejpam-6198	565	4	u1j1(π2ρn)g1(t−	u1j1(π2ρn)g1(t−	PROPN
ejpam-6198	565	5	δ)][1−	δ)][1−	PROPN
ejpam-6198	565	6	e−νρ2mδ]dδ	e−νρ2mδ]dδ	NOUN
ejpam-6198	565	7	.	.	PUNCT
ejpam-6198	566	1	(	(	PUNCT
ejpam-6198	566	2	74	74	NUM
ejpam-6198	566	3	)	)	PUNCT
ejpam-6198	566	4	if	if	SCONJ
ejpam-6198	566	5	we	we	PRON
ejpam-6198	566	6	take	take	VERB
ejpam-6198	566	7	w(π1	w(π1	PROPN
ejpam-6198	566	8	,	,	PUNCT
ejpam-6198	566	9	t	t	PROPN
ejpam-6198	566	10	)	)	PUNCT
ejpam-6198	566	11	=	=	SYM
ejpam-6198	566	12	a1	a1	PROPN
ejpam-6198	566	13	t	t	PROPN
ejpam-6198	566	14	,	,	PUNCT
ejpam-6198	566	15	w(π2	w(π2	NOUN
ejpam-6198	566	16	,	,	PUNCT
ejpam-6198	566	17	t	t	NOUN
ejpam-6198	566	18	)	)	PUNCT
ejpam-6198	566	19	=	=	PROPN
ejpam-6198	566	20	a2	a2	PROPN
ejpam-6198	566	21	t	t	PROPN
ejpam-6198	566	22	,	,	PUNCT
ejpam-6198	566	23	then	then	ADV
ejpam-6198	566	24	the	the	DET
ejpam-6198	566	25	solutions	solution	NOUN
ejpam-6198	566	26	given	give	VERB
ejpam-6198	566	27	by	by	ADP
ejpam-6198	566	28	eqs.(71	eqs.(71	PROPN
ejpam-6198	566	29	)	)	PUNCT
ejpam-6198	566	30	and	and	CCONJ
ejpam-6198	566	31	(	(	PUNCT
ejpam-6198	566	32	73	73	NUM
ejpam-6198	566	33	)	)	PUNCT
ejpam-6198	566	34	are	be	AUX
ejpam-6198	566	35	agree	agree	ADJ
ejpam-6198	566	36	to	to	ADP
ejpam-6198	566	37	those	those	PRON
ejpam-6198	566	38	obtained	obtain	VERB
ejpam-6198	566	39	by	by	ADP
ejpam-6198	566	40	[	[	X
ejpam-6198	566	41	43	43	NUM
ejpam-6198	566	42	]	]	PUNCT
ejpam-6198	566	43	in	in	ADP
ejpam-6198	566	44	eqs	eqs	PROPN
ejpam-6198	566	45	.	.	PUNCT
ejpam-6198	567	1	(	(	PUNCT
ejpam-6198	567	2	20	20	NUM
ejpam-6198	567	3	)	)	PUNCT
ejpam-6198	567	4	and	and	CCONJ
ejpam-6198	567	5	(	(	PUNCT
ejpam-6198	567	6	28	28	NUM
ejpam-6198	567	7	)	)	PUNCT
ejpam-6198	567	8	.	.	PUNCT
ejpam-6198	568	1	furthermore	furthermore	ADV
ejpam-6198	568	2	,	,	PUNCT
ejpam-6198	568	3	if	if	SCONJ
ejpam-6198	568	4	we	we	PRON
ejpam-6198	568	5	take	take	VERB
ejpam-6198	568	6	w(π1	w(π1	PROPN
ejpam-6198	568	7	,	,	PUNCT
ejpam-6198	568	8	t	t	PROPN
ejpam-6198	568	9	)	)	PUNCT
ejpam-6198	568	10	=	=	PUNCT
ejpam-6198	569	1	w1sin(ω1	w1sin(ω1	PROPN
ejpam-6198	569	2	t	t	PROPN
ejpam-6198	569	3	)	)	PUNCT
ejpam-6198	569	4	,	,	PUNCT
ejpam-6198	569	5	w(π2	w(π2	NOUN
ejpam-6198	569	6	,	,	PUNCT
ejpam-6198	569	7	t	t	PROPN
ejpam-6198	569	8	)	)	PUNCT
ejpam-6198	569	9	=	=	PUNCT
ejpam-6198	570	1	w2sin(ω2	w2sin(ω2	NOUN
ejpam-6198	570	2	t	t	PROPN
ejpam-6198	570	3	)	)	PUNCT
ejpam-6198	570	4	,	,	PUNCT
ejpam-6198	570	5	then	then	ADV
ejpam-6198	570	6	the	the	DET
ejpam-6198	570	7	solutions	solution	NOUN
ejpam-6198	570	8	given	give	VERB
ejpam-6198	570	9	by	by	ADP
ejpam-6198	570	10	eqs.(71	eqs.(71	PROPN
ejpam-6198	570	11	)	)	PUNCT
ejpam-6198	570	12	and	and	CCONJ
ejpam-6198	570	13	(	(	PUNCT
ejpam-6198	570	14	73	73	NUM
ejpam-6198	570	15	)	)	PUNCT
ejpam-6198	570	16	are	be	AUX
ejpam-6198	570	17	agree	agree	ADJ
ejpam-6198	570	18	to	to	ADP
ejpam-6198	570	19	those	those	PRON
ejpam-6198	570	20	obtained	obtain	VERB
ejpam-6198	570	21	by	by	ADP
ejpam-6198	570	22	[	[	X
ejpam-6198	570	23	44	44	NUM
ejpam-6198	570	24	]	]	PUNCT
ejpam-6198	570	25	in	in	ADP
ejpam-6198	570	26	eqs	eqs	PROPN
ejpam-6198	570	27	.	.	PUNCT
ejpam-6198	571	1	(	(	PUNCT
ejpam-6198	571	2	24	24	NUM
ejpam-6198	571	3	)	)	PUNCT
ejpam-6198	571	4	and	and	CCONJ
ejpam-6198	571	5	(	(	PUNCT
ejpam-6198	571	6	25	25	NUM
ejpam-6198	571	7	)	)	PUNCT
ejpam-6198	571	8	.	.	PUNCT
ejpam-6198	572	1	similarly	similarly	ADV
ejpam-6198	572	2	,	,	PUNCT
ejpam-6198	572	3	we	we	PRON
ejpam-6198	572	4	take	take	VERB
ejpam-6198	572	5	v(π1	v(π1	PROPN
ejpam-6198	572	6	,	,	PUNCT
ejpam-6198	572	7	t	t	PROPN
ejpam-6198	572	8	)	)	PUNCT
ejpam-6198	572	9	=	=	SYM
ejpam-6198	572	10	a1	a1	PROPN
ejpam-6198	572	11	t	t	PROPN
ejpam-6198	572	12	,	,	PUNCT
ejpam-6198	572	13	w(π2	w(π2	NOUN
ejpam-6198	572	14	,	,	PUNCT
ejpam-6198	572	15	t	t	NOUN
ejpam-6198	572	16	)	)	PUNCT
ejpam-6198	572	17	=	=	PROPN
ejpam-6198	572	18	a2	a2	PROPN
ejpam-6198	572	19	t	t	PROPN
ejpam-6198	572	20	,	,	PUNCT
ejpam-6198	572	21	then	then	ADV
ejpam-6198	572	22	the	the	DET
ejpam-6198	572	23	solutions	solution	NOUN
ejpam-6198	572	24	given	give	VERB
ejpam-6198	572	25	by	by	ADP
ejpam-6198	572	26	eqs.(72	eqs.(72	PROPN
ejpam-6198	572	27	)	)	PUNCT
ejpam-6198	572	28	and	and	CCONJ
ejpam-6198	572	29	(	(	PUNCT
ejpam-6198	572	30	74	74	NUM
ejpam-6198	572	31	)	)	PUNCT
ejpam-6198	572	32	are	be	AUX
ejpam-6198	572	33	agree	agree	ADJ
ejpam-6198	572	34	to	to	ADP
ejpam-6198	572	35	those	those	PRON
ejpam-6198	572	36	obtained	obtain	VERB
ejpam-6198	572	37	by	by	ADP
ejpam-6198	572	38	[	[	X
ejpam-6198	572	39	45	45	NUM
ejpam-6198	572	40	]	]	PUNCT
ejpam-6198	572	41	in	in	ADP
ejpam-6198	572	42	eqs	eqs	PROPN
ejpam-6198	572	43	.	.	PUNCT
ejpam-6198	573	1	(	(	PUNCT
ejpam-6198	573	2	4.3	4.3	NUM
ejpam-6198	573	3	)	)	PUNCT
ejpam-6198	573	4	and	and	CCONJ
ejpam-6198	573	5	(	(	PUNCT
ejpam-6198	573	6	4.4	4.4	NUM
ejpam-6198	573	7	)	)	PUNCT
ejpam-6198	573	8	.	.	PUNCT
ejpam-6198	574	1	6	6	X
ejpam-6198	574	2	.	.	X
ejpam-6198	574	3	numerical	numerical	ADJ
ejpam-6198	574	4	results	result	NOUN
ejpam-6198	574	5	and	and	CCONJ
ejpam-6198	574	6	discussion	discussion	NOUN
ejpam-6198	574	7	the	the	DET
ejpam-6198	574	8	present	present	ADJ
ejpam-6198	574	9	work	work	NOUN
ejpam-6198	574	10	estimates	estimate	VERB
ejpam-6198	574	11	the	the	DET
ejpam-6198	574	12	helical	helical	ADJ
ejpam-6198	574	13	flow	flow	NOUN
ejpam-6198	574	14	of	of	ADP
ejpam-6198	574	15	fraction	fraction	NOUN
ejpam-6198	574	16	mhd	mhd	NOUN
ejpam-6198	574	17	second	second	ADJ
ejpam-6198	574	18	grade	grade	NOUN
ejpam-6198	574	19	fluid	fluid	NOUN
ejpam-6198	574	20	for	for	ADP
ejpam-6198	574	21	very	very	ADV
ejpam-6198	574	22	generalized	generalized	ADJ
ejpam-6198	574	23	boundary	boundary	ADJ
ejpam-6198	574	24	conditions	condition	NOUN
ejpam-6198	574	25	under	under	ADP
ejpam-6198	574	26	the	the	DET
ejpam-6198	574	27	porous	porous	ADJ
ejpam-6198	574	28	nature	nature	NOUN
ejpam-6198	574	29	between	between	ADP
ejpam-6198	574	30	uniaxial	uniaxial	ADJ
ejpam-6198	574	31	annular	annular	ADJ
ejpam-6198	574	32	cylinders	cylinder	NOUN
ejpam-6198	574	33	.	.	PUNCT
ejpam-6198	575	1	we	we	PRON
ejpam-6198	575	2	are	be	AUX
ejpam-6198	575	3	living	live	VERB
ejpam-6198	575	4	in	in	ADP
ejpam-6198	575	5	the	the	DET
ejpam-6198	575	6	era	era	NOUN
ejpam-6198	575	7	of	of	ADP
ejpam-6198	575	8	fractional	fractional	ADJ
ejpam-6198	575	9	calculus	calculus	NOUN
ejpam-6198	575	10	and	and	CCONJ
ejpam-6198	575	11	concept	concept	NOUN
ejpam-6198	575	12	of	of	ADP
ejpam-6198	575	13	fractional	fractional	ADJ
ejpam-6198	575	14	calculus	calculus	NOUN
ejpam-6198	575	15	has	have	AUX
ejpam-6198	575	16	become	become	VERB
ejpam-6198	575	17	essential	essential	ADJ
ejpam-6198	575	18	in	in	ADP
ejpam-6198	575	19	all	all	DET
ejpam-6198	575	20	sciences	science	NOUN
ejpam-6198	575	21	and	and	CCONJ
ejpam-6198	575	22	engineering	engineering	NOUN
ejpam-6198	575	23	.	.	PUNCT
ejpam-6198	576	1	therefore	therefore	ADV
ejpam-6198	576	2	,	,	PUNCT
ejpam-6198	576	3	we	we	PRON
ejpam-6198	576	4	fractionalized	fractionalize	VERB
ejpam-6198	576	5	governing	govern	VERB
ejpam-6198	576	6	equations	equation	NOUN
ejpam-6198	576	7	of	of	ADP
ejpam-6198	576	8	the	the	DET
ejpam-6198	576	9	helical	helical	ADJ
ejpam-6198	576	10	flow	flow	NOUN
ejpam-6198	576	11	of	of	ADP
ejpam-6198	576	12	second	second	ADJ
ejpam-6198	576	13	grade	grade	NOUN
ejpam-6198	576	14	fluid	fluid	NOUN
ejpam-6198	576	15	with	with	ADP
ejpam-6198	576	16	the	the	DET
ejpam-6198	576	17	modern	modern	ADJ
ejpam-6198	576	18	atangana	atangana	PROPN
ejpam-6198	576	19	baleanu	baleanu	PROPN
ejpam-6198	576	20	caputo	caputo	PROPN
ejpam-6198	576	21	(	(	PUNCT
ejpam-6198	576	22	abc	abc	PROPN
ejpam-6198	576	23	)	)	PUNCT
ejpam-6198	576	24	fractional	fractional	ADJ
ejpam-6198	576	25	operator	operator	NOUN
ejpam-6198	576	26	.	.	PUNCT
ejpam-6198	577	1	the	the	DET
ejpam-6198	577	2	exact	exact	ADJ
ejpam-6198	577	3	analytical	analytical	ADJ
ejpam-6198	577	4	outcomes	outcome	NOUN
ejpam-6198	577	5	determine	determine	VERB
ejpam-6198	577	6	the	the	DET
ejpam-6198	577	7	rotational	rotational	ADJ
ejpam-6198	577	8	and	and	CCONJ
ejpam-6198	577	9	longitudinal	longitudinal	ADJ
ejpam-6198	577	10	velocities	velocity	NOUN
ejpam-6198	577	11	and	and	CCONJ
ejpam-6198	577	12	shear	shear	NOUN
ejpam-6198	577	13	stresses	stress	NOUN
ejpam-6198	577	14	between	between	ADP
ejpam-6198	577	15	two	two	NUM
ejpam-6198	577	16	infinite	infinite	ADJ
ejpam-6198	577	17	circular	circular	ADJ
ejpam-6198	577	18	cylinders	cylinder	NOUN
ejpam-6198	577	19	for	for	ADP
ejpam-6198	577	20	generalized	generalized	ADJ
ejpam-6198	577	21	boundary	boundary	ADJ
ejpam-6198	577	22	conditions	condition	NOUN
ejpam-6198	577	23	on	on	ADP
ejpam-6198	577	24	the	the	DET
ejpam-6198	577	25	surfaced	surface	VERB
ejpam-6198	577	26	inner	inner	ADJ
ejpam-6198	577	27	and	and	CCONJ
ejpam-6198	577	28	outer	outer	ADJ
ejpam-6198	577	29	cylinders	cylinder	NOUN
ejpam-6198	577	30	.	.	PUNCT
ejpam-6198	578	1	the	the	DET
ejpam-6198	578	2	outcomes	outcome	NOUN
ejpam-6198	578	3	are	be	AUX
ejpam-6198	578	4	obtained	obtain	VERB
ejpam-6198	578	5	with	with	ADP
ejpam-6198	578	6	the	the	DET
ejpam-6198	578	7	help	help	NOUN
ejpam-6198	578	8	of	of	ADP
ejpam-6198	578	9	infinite	infinite	ADJ
ejpam-6198	578	10	laplace	laplace	NOUN
ejpam-6198	578	11	and	and	CCONJ
ejpam-6198	578	12	finite	finite	ADJ
ejpam-6198	578	13	hankel	hankel	NOUN
ejpam-6198	578	14	transforms	transform	VERB
ejpam-6198	578	15	while	while	SCONJ
ejpam-6198	578	16	using	use	VERB
ejpam-6198	578	17	abc	abc	PROPN
ejpam-6198	578	18	time	time	NOUN
ejpam-6198	578	19	derivatives	derivative	NOUN
ejpam-6198	578	20	.	.	PUNCT
ejpam-6198	579	1	the	the	DET
ejpam-6198	579	2	outcomes	outcome	NOUN
ejpam-6198	579	3	are	be	AUX
ejpam-6198	579	4	handover	handover	NOUN
ejpam-6198	579	5	in	in	ADP
ejpam-6198	579	6	integral	integral	ADJ
ejpam-6198	579	7	and	and	CCONJ
ejpam-6198	579	8	series	series	NOUN
ejpam-6198	579	9	forms	form	NOUN
ejpam-6198	579	10	with	with	ADP
ejpam-6198	579	11	generalized	generalized	ADJ
ejpam-6198	579	12	ma	ma	PROPN
ejpam-6198	579	13	,	,	PUNCT
ejpam-6198	579	14	b	b	PROPN
ejpam-6198	579	15	c	c	X
ejpam-6198	579	16	(	(	PUNCT
ejpam-6198	579	17	·	·	PROPN
ejpam-6198	579	18	,	,	PUNCT
ejpam-6198	579	19	t	t	NOUN
ejpam-6198	579	20	)	)	PUNCT
ejpam-6198	579	21	function	function	NOUN
ejpam-6198	579	22	.	.	PUNCT
ejpam-6198	580	1	furthermore	furthermore	ADV
ejpam-6198	580	2	,	,	PUNCT
ejpam-6198	580	3	these	these	DET
ejpam-6198	580	4	outcomes	outcome	NOUN
ejpam-6198	580	5	need	need	VERB
ejpam-6198	580	6	the	the	DET
ejpam-6198	580	7	requirement	requirement	NOUN
ejpam-6198	580	8	of	of	ADP
ejpam-6198	580	9	all	all	DET
ejpam-6198	580	10	natural	natural	ADJ
ejpam-6198	580	11	restrictions	restriction	NOUN
ejpam-6198	580	12	,	,	PUNCT
ejpam-6198	580	13	we	we	PRON
ejpam-6198	580	14	can	can	AUX
ejpam-6198	580	15	impose	impose	VERB
ejpam-6198	580	16	on	on	ADP
ejpam-6198	580	17	them	they	PRON
ejpam-6198	580	18	.	.	PUNCT
ejpam-6198	581	1	for	for	ADP
ejpam-6198	581	2	example	example	NOUN
ejpam-6198	581	3	,	,	PUNCT
ejpam-6198	581	4	these	these	DET
ejpam-6198	581	5	outcomes	outcome	NOUN
ejpam-6198	581	6	can	can	AUX
ejpam-6198	581	7	satisfy	satisfy	VERB
ejpam-6198	581	8	the	the	DET
ejpam-6198	581	9	governing	govern	VERB
ejpam-6198	581	10	equations	equation	NOUN
ejpam-6198	581	11	and	and	CCONJ
ejpam-6198	581	12	initial	initial	ADJ
ejpam-6198	581	13	and	and	CCONJ
ejpam-6198	581	14	boundary	boundary	ADJ
ejpam-6198	581	15	conditions	condition	NOUN
ejpam-6198	581	16	.	.	PUNCT
ejpam-6198	582	1	we	we	PRON
ejpam-6198	582	2	mentioned	mention	VERB
ejpam-6198	582	3	here	here	ADV
ejpam-6198	582	4	some	some	DET
ejpam-6198	582	5	important	important	ADJ
ejpam-6198	582	6	worth	worth	NOUN
ejpam-6198	582	7	of	of	ADP
ejpam-6198	582	8	present	present	ADJ
ejpam-6198	582	9	research	research	NOUN
ejpam-6198	582	10	.	.	PUNCT
ejpam-6198	583	1	we	we	PRON
ejpam-6198	583	2	first	first	ADJ
ejpam-6198	583	3	time	time	NOUN
ejpam-6198	583	4	introduced	introduce	VERB
ejpam-6198	583	5	the	the	DET
ejpam-6198	583	6	abc	abc	PROPN
ejpam-6198	583	7	fractional	fractional	ADJ
ejpam-6198	583	8	operator	operator	NOUN
ejpam-6198	583	9	in	in	ADP
ejpam-6198	583	10	the	the	DET
ejpam-6198	583	11	helical	helical	ADJ
ejpam-6198	583	12	flow	flow	NOUN
ejpam-6198	583	13	between	between	ADP
ejpam-6198	583	14	coaxial	coaxial	ADJ
ejpam-6198	583	15	cylinders	cylinder	NOUN
ejpam-6198	583	16	.	.	PUNCT
ejpam-6198	584	1	another	another	PRON
ejpam-6198	584	2	is	be	AUX
ejpam-6198	584	3	that	that	SCONJ
ejpam-6198	584	4	we	we	PRON
ejpam-6198	584	5	used	use	VERB
ejpam-6198	584	6	the	the	DET
ejpam-6198	584	7	generalized	generalized	ADJ
ejpam-6198	584	8	ma	ma	PROPN
ejpam-6198	584	9	,	,	PUNCT
ejpam-6198	584	10	b	b	PROPN
ejpam-6198	584	11	c	c	X
ejpam-6198	584	12	(	(	PUNCT
ejpam-6198	584	13	·	·	PROPN
ejpam-6198	584	14	,	,	PUNCT
ejpam-6198	584	15	t	t	NOUN
ejpam-6198	584	16	)	)	PUNCT
ejpam-6198	584	17	function	function	NOUN
ejpam-6198	584	18	which	which	PRON
ejpam-6198	584	19	shortened	shorten	VERB
ejpam-6198	584	20	our	our	PRON
ejpam-6198	584	21	exact	exact	ADJ
ejpam-6198	584	22	analytical	analytical	ADJ
ejpam-6198	584	23	solutions	solution	NOUN
ejpam-6198	584	24	as	as	ADP
ejpam-6198	584	25	compared	compare	VERB
ejpam-6198	584	26	to	to	ADP
ejpam-6198	584	27	some	some	DET
ejpam-6198	584	28	important	important	ADJ
ejpam-6198	584	29	previous	previous	ADJ
ejpam-6198	584	30	work	work	NOUN
ejpam-6198	584	31	[	[	X
ejpam-6198	584	32	30	30	NUM
ejpam-6198	584	33	,	,	PUNCT
ejpam-6198	584	34	36–38	36–38	NUM
ejpam-6198	584	35	,	,	PUNCT
ejpam-6198	584	36	42–45	42–45	NUM
ejpam-6198	584	37	]	]	PUNCT
ejpam-6198	584	38	.	.	PUNCT
ejpam-6198	585	1	another	another	DET
ejpam-6198	585	2	aspect	aspect	NOUN
ejpam-6198	585	3	of	of	ADP
ejpam-6198	585	4	the	the	DET
ejpam-6198	585	5	present	present	ADJ
ejpam-6198	585	6	outcomes	outcome	NOUN
ejpam-6198	585	7	is	be	AUX
ejpam-6198	585	8	that	that	SCONJ
ejpam-6198	585	9	we	we	PRON
ejpam-6198	585	10	used	use	VERB
ejpam-6198	585	11	a	a	DET
ejpam-6198	585	12	very	very	ADV
ejpam-6198	585	13	generalized	generalized	ADJ
ejpam-6198	585	14	function	function	NOUN
ejpam-6198	585	15	on	on	ADP
ejpam-6198	585	16	the	the	DET
ejpam-6198	585	17	surface	surface	NOUN
ejpam-6198	585	18	of	of	ADP
ejpam-6198	585	19	the	the	DET
ejpam-6198	585	20	inner	inner	ADJ
ejpam-6198	585	21	and	and	CCONJ
ejpam-6198	585	22	outer	outer	ADJ
ejpam-6198	585	23	cylinders	cylinder	NOUN
ejpam-6198	585	24	.	.	PUNCT
ejpam-6198	586	1	additionally	additionally	ADV
ejpam-6198	586	2	,	,	PUNCT
ejpam-6198	586	3	the	the	DET
ejpam-6198	586	4	outcomes	outcome	NOUN
ejpam-6198	586	5	of	of	ADP
ejpam-6198	586	6	second	second	ADJ
ejpam-6198	586	7	grade	grade	NOUN
ejpam-6198	586	8	fluid	fluid	ADJ
ejpam-6198	586	9	and	and	CCONJ
ejpam-6198	586	10	newtonian	newtonian	ADJ
ejpam-6198	586	11	fluid	fluid	NOUN
ejpam-6198	586	12	with	with	ADP
ejpam-6198	586	13	and	and	CCONJ
ejpam-6198	586	14	without	without	ADP
ejpam-6198	586	15	mhd	mhd	NOUN
ejpam-6198	586	16	and	and	CCONJ
ejpam-6198	586	17	porous	porous	ADJ
ejpam-6198	586	18	effect	effect	NOUN
ejpam-6198	586	19	can	can	AUX
ejpam-6198	586	20	also	also	ADV
ejpam-6198	586	21	be	be	AUX
ejpam-6198	586	22	obtained	obtain	VERB
ejpam-6198	586	23	very	very	ADV
ejpam-6198	586	24	easily	easily	ADV
ejpam-6198	586	25	from	from	ADP
ejpam-6198	586	26	the	the	DET
ejpam-6198	586	27	present	present	ADJ
ejpam-6198	586	28	generalized	generalized	ADJ
ejpam-6198	586	29	solution	solution	NOUN
ejpam-6198	586	30	.	.	PUNCT
ejpam-6198	587	1	m.	m.	NOUN
ejpam-6198	587	2	zafarullah	zafarullah	PROPN
ejpam-6198	587	3	et	et	PROPN
ejpam-6198	587	4	al	al	PROPN
ejpam-6198	587	5	.	.	PUNCT
ejpam-6198	587	6	/	/	SYM
ejpam-6198	587	7	eur	eur	PROPN
ejpam-6198	587	8	.	.	PUNCT
ejpam-6198	588	1	j.	j.	PROPN
ejpam-6198	588	2	pure	pure	PROPN
ejpam-6198	588	3	appl	appl	PROPN
ejpam-6198	588	4	.	.	PROPN
ejpam-6198	588	5	math	math	PROPN
ejpam-6198	588	6	,	,	PUNCT
ejpam-6198	588	7	18	18	NUM
ejpam-6198	588	8	(	(	PUNCT
ejpam-6198	588	9	4	4	NUM
ejpam-6198	588	10	)	)	PUNCT
ejpam-6198	588	11	(	(	PUNCT
ejpam-6198	588	12	2025	2025	NUM
ejpam-6198	588	13	)	)	PUNCT
ejpam-6198	588	14	,	,	PUNCT
ejpam-6198	588	15	6198	6198	NUM
ejpam-6198	588	16	28	28	NUM
ejpam-6198	588	17	of	of	ADP
ejpam-6198	588	18	41	41	NUM
ejpam-6198	588	19	figure	figure	NOUN
ejpam-6198	588	20	2	2	NUM
ejpam-6198	588	21	:	:	PUNCT
ejpam-6198	588	22	portraits	portrait	NOUN
ejpam-6198	588	23	of	of	ADP
ejpam-6198	588	24	the	the	DET
ejpam-6198	588	25	velocity	velocity	NOUN
ejpam-6198	588	26	fields	field	NOUN
ejpam-6198	588	27	w(ρ	w(ρ	PROPN
ejpam-6198	588	28	,	,	PUNCT
ejpam-6198	588	29	t	t	PROPN
ejpam-6198	588	30	)	)	PUNCT
ejpam-6198	588	31	and	and	CCONJ
ejpam-6198	588	32	v(ρ	v(ρ	PROPN
ejpam-6198	588	33	,	,	PUNCT
ejpam-6198	588	34	t	t	PROPN
ejpam-6198	588	35	)	)	PUNCT
ejpam-6198	588	36	and	and	CCONJ
ejpam-6198	588	37	shear	shear	NOUN
ejpam-6198	588	38	stresses	stress	VERB
ejpam-6198	588	39	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	588	40	,	,	PUNCT
ejpam-6198	588	41	t	t	PROPN
ejpam-6198	588	42	)	)	PUNCT
ejpam-6198	588	43	and	and	CCONJ
ejpam-6198	588	44	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	588	45	,	,	PUNCT
ejpam-6198	588	46	t	t	PROPN
ejpam-6198	588	47	)	)	PUNCT
ejpam-6198	588	48	presented	present	VERB
ejpam-6198	588	49	in	in	ADP
ejpam-6198	588	50	eqs	eqs	PROPN
ejpam-6198	588	51	.	.	PUNCT
ejpam-6198	589	1	(	(	PUNCT
ejpam-6198	589	2	35	35	NUM
ejpam-6198	589	3	)	)	PUNCT
ejpam-6198	589	4	,	,	PUNCT
ejpam-6198	589	5	(	(	PUNCT
ejpam-6198	589	6	36	36	NUM
ejpam-6198	589	7	)	)	PUNCT
ejpam-6198	589	8	,	,	PUNCT
ejpam-6198	589	9	(	(	PUNCT
ejpam-6198	589	10	41	41	NUM
ejpam-6198	589	11	)	)	PUNCT
ejpam-6198	589	12	and	and	CCONJ
ejpam-6198	589	13	(	(	PUNCT
ejpam-6198	589	14	42	42	NUM
ejpam-6198	589	15	)	)	PUNCT
ejpam-6198	589	16	,	,	PUNCT
ejpam-6198	589	17	for	for	ADP
ejpam-6198	589	18	α	α	NOUN
ejpam-6198	589	19	=	=	SYM
ejpam-6198	589	20	2.5	2.5	NUM
ejpam-6198	589	21	,	,	PUNCT
ejpam-6198	589	22	gm	gm	PROPN
ejpam-6198	589	23	=	=	NUM
ejpam-6198	589	24	0.5	0.5	NUM
ejpam-6198	589	25	,	,	PUNCT
ejpam-6198	589	26	gp	gp	NOUN
ejpam-6198	589	27	=	=	SYM
ejpam-6198	589	28	0.4	0.4	NUM
ejpam-6198	589	29	dissimilar	dissimilar	ADJ
ejpam-6198	589	30	rates	rate	NOUN
ejpam-6198	589	31	of	of	ADP
ejpam-6198	589	32	ρ	ρ	PROPN
ejpam-6198	589	33	.	.	PUNCT
ejpam-6198	590	1	in	in	ADP
ejpam-6198	590	2	the	the	DET
ejpam-6198	590	3	limiting	limit	VERB
ejpam-6198	590	4	cases	case	NOUN
ejpam-6198	590	5	of	of	ADP
ejpam-6198	590	6	our	our	PRON
ejpam-6198	590	7	outcomes	outcome	NOUN
ejpam-6198	590	8	,	,	PUNCT
ejpam-6198	590	9	by	by	ADP
ejpam-6198	590	10	assigning	assign	VERB
ejpam-6198	590	11	the	the	DET
ejpam-6198	590	12	fractional	fractional	ADJ
ejpam-6198	590	13	parameter	parameter	NOUN
ejpam-6198	590	14	β	β	PROPN
ejpam-6198	590	15	→	→	SYM
ejpam-6198	590	16	1	1	NUM
ejpam-6198	590	17	and	and	CCONJ
ejpam-6198	590	18	material	material	NOUN
ejpam-6198	590	19	parameter	parameter	NOUN
ejpam-6198	590	20	α	α	PROPN
ejpam-6198	590	21	→	→	SYM
ejpam-6198	590	22	0	0	NUM
ejpam-6198	590	23	,	,	PUNCT
ejpam-6198	590	24	we	we	PRON
ejpam-6198	590	25	earn	earn	VERB
ejpam-6198	590	26	ordinary	ordinary	ADJ
ejpam-6198	590	27	second	second	ADJ
ejpam-6198	590	28	grade	grade	NOUN
ejpam-6198	590	29	fluid	fluid	NOUN
ejpam-6198	590	30	in	in	ADP
ejpam-6198	590	31	section	section	NOUN
ejpam-6198	590	32	5.1	5.1	NUM
ejpam-6198	590	33	and	and	CCONJ
ejpam-6198	590	34	newtonian	newtonian	ADJ
ejpam-6198	590	35	fluid	fluid	NOUN
ejpam-6198	590	36	with	with	ADP
ejpam-6198	590	37	both	both	CCONJ
ejpam-6198	590	38	porous	porous	ADJ
ejpam-6198	590	39	and	and	CCONJ
ejpam-6198	590	40	magnetic	magnetic	ADJ
ejpam-6198	590	41	effects	effect	NOUN
ejpam-6198	590	42	in	in	ADP
ejpam-6198	590	43	section	section	NOUN
ejpam-6198	590	44	5.2	5.2	NUM
ejpam-6198	590	45	respectively	respectively	ADV
ejpam-6198	590	46	.	.	PUNCT
ejpam-6198	591	1	by	by	ADP
ejpam-6198	591	2	considering	consider	VERB
ejpam-6198	591	3	magnetic	magnetic	ADJ
ejpam-6198	591	4	constant	constant	ADJ
ejpam-6198	591	5	gm	gm	PROPN
ejpam-6198	591	6	→	→	SYM
ejpam-6198	591	7	0	0	NUM
ejpam-6198	591	8	and	and	CCONJ
ejpam-6198	591	9	porous	porous	ADJ
ejpam-6198	591	10	constant	constant	ADJ
ejpam-6198	591	11	gp	gp	NOUN
ejpam-6198	591	12	→	→	X
ejpam-6198	591	13	0	0	NUM
ejpam-6198	591	14	,	,	PUNCT
ejpam-6198	591	15	we	we	PRON
ejpam-6198	591	16	acquire	acquire	VERB
ejpam-6198	591	17	the	the	DET
ejpam-6198	591	18	outcome	outcome	NOUN
ejpam-6198	591	19	as	as	ADP
ejpam-6198	591	20	the	the	DET
ejpam-6198	591	21	fractionalized	fractionalized	ADJ
ejpam-6198	591	22	second	second	ADJ
ejpam-6198	591	23	grade	grade	NOUN
ejpam-6198	591	24	with	with	ADP
ejpam-6198	591	25	porous	porous	ADJ
ejpam-6198	591	26	effect	effect	NOUN
ejpam-6198	591	27	in	in	ADP
ejpam-6198	591	28	section	section	NOUN
ejpam-6198	591	29	5.3	5.3	NUM
ejpam-6198	591	30	and	and	CCONJ
ejpam-6198	591	31	fractionalized	fractionalize	VERB
ejpam-6198	591	32	second	second	ADJ
ejpam-6198	591	33	grade	grade	NOUN
ejpam-6198	591	34	with	with	ADP
ejpam-6198	591	35	magnetic	magnetic	ADJ
ejpam-6198	591	36	effect	effect	NOUN
ejpam-6198	591	37	in	in	ADP
ejpam-6198	591	38	section	section	NOUN
ejpam-6198	591	39	5.4	5.4	NUM
ejpam-6198	591	40	respectively	respectively	ADV
ejpam-6198	591	41	while	while	SCONJ
ejpam-6198	591	42	in	in	ADP
ejpam-6198	591	43	this	this	DET
ejpam-6198	591	44	case	case	NOUN
ejpam-6198	591	45	,	,	PUNCT
ejpam-6198	591	46	both	both	CCONJ
ejpam-6198	591	47	porous	porous	ADJ
ejpam-6198	591	48	and	and	CCONJ
ejpam-6198	591	49	magnetic	magnetic	ADJ
ejpam-6198	591	50	effects	effect	NOUN
ejpam-6198	591	51	eliminate	eliminate	VERB
ejpam-6198	591	52	together	together	ADV
ejpam-6198	591	53	then	then	ADV
ejpam-6198	591	54	it	it	PRON
ejpam-6198	591	55	becomes	becomes	AUX
ejpam-6198	591	56	fractionalized	fractionalize	VERB
ejpam-6198	591	57	second	second	ADJ
ejpam-6198	591	58	grade	grade	NOUN
ejpam-6198	591	59	in	in	ADP
ejpam-6198	591	60	section	section	NOUN
ejpam-6198	591	61	5.5	5.5	NUM
ejpam-6198	591	62	.	.	PUNCT
ejpam-6198	592	1	the	the	DET
ejpam-6198	592	2	fractionalized	fractionalize	VERB
ejpam-6198	592	3	second	second	ADJ
ejpam-6198	592	4	grade	grade	NOUN
ejpam-6198	592	5	with	with	ADP
ejpam-6198	592	6	porous	porous	ADJ
ejpam-6198	592	7	and	and	CCONJ
ejpam-6198	592	8	fractionalized	fractionalize	VERB
ejpam-6198	592	9	second	second	ADJ
ejpam-6198	592	10	grade	grade	NOUN
ejpam-6198	592	11	with	with	ADP
ejpam-6198	592	12	magnetic	magnetic	ADJ
ejpam-6198	592	13	effect	effect	NOUN
ejpam-6198	592	14	are	be	AUX
ejpam-6198	592	15	recognized	recognize	VERB
ejpam-6198	592	16	as	as	ADP
ejpam-6198	592	17	newtonian	newtonian	NOUN
ejpam-6198	592	18	with	with	ADP
ejpam-6198	592	19	porous	porous	ADJ
ejpam-6198	592	20	section	section	NOUN
ejpam-6198	592	21	5.6	5.6	NUM
ejpam-6198	592	22	and	and	CCONJ
ejpam-6198	592	23	newtonian	newtonian	NOUN
ejpam-6198	592	24	with	with	ADP
ejpam-6198	592	25	magnetic	magnetic	ADJ
ejpam-6198	592	26	effect	effect	NOUN
ejpam-6198	592	27	section	section	NOUN
ejpam-6198	592	28	5.7	5.7	NUM
ejpam-6198	592	29	respectively	respectively	ADV
ejpam-6198	592	30	,	,	PUNCT
ejpam-6198	592	31	when	when	SCONJ
ejpam-6198	592	32	we	we	PRON
ejpam-6198	592	33	vanish	vanish	VERB
ejpam-6198	592	34	the	the	DET
ejpam-6198	592	35	material	material	NOUN
ejpam-6198	592	36	parameter	parameter	NOUN
ejpam-6198	592	37	.	.	PUNCT
ejpam-6198	593	1	at	at	ADP
ejpam-6198	593	2	last	last	ADJ
ejpam-6198	593	3	section	section	NOUN
ejpam-6198	593	4	5.8	5.8	NUM
ejpam-6198	593	5	,	,	PUNCT
ejpam-6198	593	6	we	we	PRON
ejpam-6198	593	7	attain	attain	VERB
ejpam-6198	593	8	the	the	DET
ejpam-6198	593	9	newtonian	newtonian	ADJ
ejpam-6198	593	10	fluid	fluid	NOUN
ejpam-6198	593	11	as	as	SCONJ
ejpam-6198	593	12	the	the	DET
ejpam-6198	593	13	material	material	NOUN
ejpam-6198	593	14	parameter	parameter	NOUN
ejpam-6198	593	15	abolished	abolish	VERB
ejpam-6198	593	16	in	in	ADP
ejpam-6198	593	17	the	the	DET
ejpam-6198	593	18	fractionalized	fractionalize	VERB
ejpam-6198	593	19	second	second	ADJ
ejpam-6198	593	20	grade	grade	NOUN
ejpam-6198	593	21	fluid	fluid	NOUN
ejpam-6198	593	22	.	.	PUNCT
ejpam-6198	594	1	m.	m.	NOUN
ejpam-6198	594	2	zafarullah	zafarullah	PROPN
ejpam-6198	594	3	et	et	PROPN
ejpam-6198	594	4	al	al	PROPN
ejpam-6198	594	5	.	.	PUNCT
ejpam-6198	594	6	/	/	SYM
ejpam-6198	594	7	eur	eur	PROPN
ejpam-6198	594	8	.	.	PUNCT
ejpam-6198	595	1	j.	j.	PROPN
ejpam-6198	595	2	pure	pure	PROPN
ejpam-6198	595	3	appl	appl	PROPN
ejpam-6198	595	4	.	.	PROPN
ejpam-6198	595	5	math	math	PROPN
ejpam-6198	595	6	,	,	PUNCT
ejpam-6198	595	7	18	18	NUM
ejpam-6198	595	8	(	(	PUNCT
ejpam-6198	595	9	4	4	NUM
ejpam-6198	595	10	)	)	PUNCT
ejpam-6198	595	11	(	(	PUNCT
ejpam-6198	595	12	2025	2025	NUM
ejpam-6198	595	13	)	)	PUNCT
ejpam-6198	595	14	,	,	PUNCT
ejpam-6198	595	15	6198	6198	NUM
ejpam-6198	595	16	29	29	NUM
ejpam-6198	595	17	of	of	ADP
ejpam-6198	595	18	41	41	NUM
ejpam-6198	595	19	figure	figure	NOUN
ejpam-6198	595	20	3	3	NUM
ejpam-6198	595	21	:	:	PUNCT
ejpam-6198	595	22	portraits	portrait	NOUN
ejpam-6198	595	23	of	of	ADP
ejpam-6198	595	24	the	the	DET
ejpam-6198	595	25	velocity	velocity	NOUN
ejpam-6198	595	26	fields	field	NOUN
ejpam-6198	595	27	w(ρ	w(ρ	PROPN
ejpam-6198	595	28	,	,	PUNCT
ejpam-6198	595	29	t	t	PROPN
ejpam-6198	595	30	)	)	PUNCT
ejpam-6198	595	31	and	and	CCONJ
ejpam-6198	595	32	v(ρ	v(ρ	PROPN
ejpam-6198	595	33	,	,	PUNCT
ejpam-6198	595	34	t	t	PROPN
ejpam-6198	595	35	)	)	PUNCT
ejpam-6198	595	36	and	and	CCONJ
ejpam-6198	595	37	shear	shear	NOUN
ejpam-6198	595	38	stresses	stress	VERB
ejpam-6198	595	39	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	595	40	,	,	PUNCT
ejpam-6198	595	41	t	t	PROPN
ejpam-6198	595	42	)	)	PUNCT
ejpam-6198	595	43	and	and	CCONJ
ejpam-6198	595	44	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	595	45	,	,	PUNCT
ejpam-6198	595	46	t	t	PROPN
ejpam-6198	595	47	)	)	PUNCT
ejpam-6198	595	48	presented	present	VERB
ejpam-6198	595	49	in	in	ADP
ejpam-6198	595	50	eqs	eqs	PROPN
ejpam-6198	595	51	.	.	PUNCT
ejpam-6198	596	1	(	(	PUNCT
ejpam-6198	596	2	35	35	NUM
ejpam-6198	596	3	)	)	PUNCT
ejpam-6198	596	4	,	,	PUNCT
ejpam-6198	596	5	(	(	PUNCT
ejpam-6198	596	6	36	36	NUM
ejpam-6198	596	7	)	)	PUNCT
ejpam-6198	596	8	,	,	PUNCT
ejpam-6198	596	9	(	(	PUNCT
ejpam-6198	596	10	41	41	NUM
ejpam-6198	596	11	)	)	PUNCT
ejpam-6198	596	12	and	and	CCONJ
ejpam-6198	596	13	(	(	PUNCT
ejpam-6198	596	14	42	42	NUM
ejpam-6198	596	15	)	)	PUNCT
ejpam-6198	596	16	,	,	PUNCT
ejpam-6198	596	17	for	for	ADP
ejpam-6198	596	18	α	α	NOUN
ejpam-6198	596	19	=	=	SYM
ejpam-6198	596	20	2.5	2.5	NUM
ejpam-6198	596	21	,	,	PUNCT
ejpam-6198	596	22	gm	gm	PROPN
ejpam-6198	596	23	=	=	NUM
ejpam-6198	596	24	0.5	0.5	NUM
ejpam-6198	596	25	,	,	PUNCT
ejpam-6198	596	26	gp	gp	NOUN
ejpam-6198	596	27	=	=	SYM
ejpam-6198	596	28	0.4	0.4	NUM
ejpam-6198	596	29	dissimilar	dissimilar	ADJ
ejpam-6198	596	30	rates	rate	NOUN
ejpam-6198	596	31	of	of	ADP
ejpam-6198	596	32	t.	t.	PROPN
ejpam-6198	596	33	what	what	PRON
ejpam-6198	596	34	physical	physical	PROPN
ejpam-6198	596	35	represent	represent	VERB
ejpam-6198	596	36	the	the	DET
ejpam-6198	596	37	outcomes	outcome	NOUN
ejpam-6198	596	38	,	,	PUNCT
ejpam-6198	596	39	and	and	CCONJ
ejpam-6198	596	40	what	what	PRON
ejpam-6198	596	41	are	be	AUX
ejpam-6198	596	42	the	the	DET
ejpam-6198	596	43	impacts	impact	NOUN
ejpam-6198	596	44	of	of	ADP
ejpam-6198	596	45	physical	physical	ADJ
ejpam-6198	596	46	parameters	parameter	NOUN
ejpam-6198	596	47	that	that	PRON
ejpam-6198	596	48	appear	appear	VERB
ejpam-6198	596	49	in	in	ADP
ejpam-6198	596	50	the	the	DET
ejpam-6198	596	51	outcomes	outcome	NOUN
ejpam-6198	596	52	?	?	PUNCT
ejpam-6198	597	1	for	for	ADP
ejpam-6198	597	2	these	these	DET
ejpam-6198	597	3	concern	concern	NOUN
ejpam-6198	597	4	,	,	PUNCT
ejpam-6198	597	5	we	we	PRON
ejpam-6198	597	6	made	make	VERB
ejpam-6198	597	7	graphs	graph	NOUN
ejpam-6198	597	8	for	for	ADP
ejpam-6198	597	9	velocity	velocity	NOUN
ejpam-6198	597	10	fields	field	NOUN
ejpam-6198	597	11	ω(ρ	ω(ρ	NOUN
ejpam-6198	597	12	,	,	PUNCT
ejpam-6198	597	13	t	t	PROPN
ejpam-6198	597	14	)	)	PUNCT
ejpam-6198	597	15	,	,	PUNCT
ejpam-6198	597	16	v(ρ	v(ρ	PROPN
ejpam-6198	597	17	,	,	PUNCT
ejpam-6198	597	18	t	t	PROPN
ejpam-6198	597	19	)	)	PUNCT
ejpam-6198	597	20	and	and	CCONJ
ejpam-6198	597	21	shear	shear	NOUN
ejpam-6198	597	22	stresses	stress	NOUN
ejpam-6198	597	23	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	597	24	,	,	PUNCT
ejpam-6198	597	25	t	t	PROPN
ejpam-6198	597	26	)	)	PUNCT
ejpam-6198	597	27	,	,	PUNCT
ejpam-6198	597	28	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	597	29	,	,	PUNCT
ejpam-6198	597	30	t	t	PROPN
ejpam-6198	597	31	)	)	PUNCT
ejpam-6198	597	32	.	.	PUNCT
ejpam-6198	598	1	we	we	PRON
ejpam-6198	598	2	have	have	VERB
ejpam-6198	598	3	two	two	NUM
ejpam-6198	598	4	choices	choice	NOUN
ejpam-6198	598	5	for	for	ADP
ejpam-6198	598	6	making	make	VERB
ejpam-6198	598	7	these	these	DET
ejpam-6198	598	8	graphs	graph	NOUN
ejpam-6198	598	9	either	either	CCONJ
ejpam-6198	598	10	we	we	PRON
ejpam-6198	598	11	use	use	VERB
ejpam-6198	598	12	independent	independent	ADJ
ejpam-6198	598	13	variable	variable	ADJ
ejpam-6198	598	14	radial	radial	ADJ
ejpam-6198	598	15	distances	distance	NOUN
ejpam-6198	598	16	ρ	ρ	NOUN
ejpam-6198	598	17	or	or	CCONJ
ejpam-6198	598	18	time	time	NOUN
ejpam-6198	598	19	t.	t.	NOUN
ejpam-6198	598	20	we	we	PRON
ejpam-6198	598	21	select	select	VERB
ejpam-6198	598	22	here	here	ADV
ejpam-6198	598	23	to	to	PART
ejpam-6198	598	24	represent	represent	VERB
ejpam-6198	598	25	the	the	DET
ejpam-6198	598	26	velocity	velocity	NOUN
ejpam-6198	598	27	field	field	NOUN
ejpam-6198	598	28	component	component	NOUN
ejpam-6198	598	29	and	and	CCONJ
ejpam-6198	598	30	shear	shear	NOUN
ejpam-6198	598	31	stresses	stress	NOUN
ejpam-6198	598	32	against	against	ADP
ejpam-6198	598	33	the	the	DET
ejpam-6198	598	34	time	time	NOUN
ejpam-6198	598	35	t	t	NOUN
ejpam-6198	598	36	because	because	SCONJ
ejpam-6198	598	37	we	we	PRON
ejpam-6198	598	38	take	take	VERB
ejpam-6198	598	39	boundary	boundary	ADJ
ejpam-6198	598	40	conditions	condition	NOUN
ejpam-6198	598	41	g1(t	g1(t	NOUN
ejpam-6198	598	42	)	)	PUNCT
ejpam-6198	598	43	,	,	PUNCT
ejpam-6198	598	44	g2(t	g2(t	PROPN
ejpam-6198	598	45	)	)	PUNCT
ejpam-6198	598	46	,	,	PUNCT
ejpam-6198	598	47	g3(t	g3(t	NUM
ejpam-6198	598	48	)	)	PUNCT
ejpam-6198	598	49	and	and	CCONJ
ejpam-6198	598	50	g4(t	g4(t	PROPN
ejpam-6198	598	51	)	)	PUNCT
ejpam-6198	598	52	as	as	ADP
ejpam-6198	598	53	e−tsin(ωt	e−tsin(ωt	NUM
ejpam-6198	598	54	)	)	PUNCT
ejpam-6198	598	55	.	.	PUNCT
ejpam-6198	599	1	such	such	ADJ
ejpam-6198	599	2	type	type	NOUN
ejpam-6198	599	3	of	of	ADP
ejpam-6198	599	4	boundary	boundary	ADJ
ejpam-6198	599	5	conditions	condition	NOUN
ejpam-6198	599	6	in	in	ADP
ejpam-6198	599	7	literature	literature	NOUN
ejpam-6198	599	8	are	be	AUX
ejpam-6198	599	9	very	very	ADV
ejpam-6198	599	10	few	few	ADJ
ejpam-6198	599	11	but	but	CCONJ
ejpam-6198	599	12	it	it	PRON
ejpam-6198	599	13	seems	seem	VERB
ejpam-6198	599	14	to	to	PART
ejpam-6198	599	15	be	be	AUX
ejpam-6198	599	16	intrinsic	intrinsic	ADJ
ejpam-6198	599	17	because	because	SCONJ
ejpam-6198	599	18	the	the	DET
ejpam-6198	599	19	amplitude	amplitude	NOUN
ejpam-6198	599	20	of	of	ADP
ejpam-6198	599	21	the	the	DET
ejpam-6198	599	22	oscillation	oscillation	NOUN
ejpam-6198	599	23	tends	tend	VERB
ejpam-6198	599	24	to	to	ADP
ejpam-6198	599	25	zero	zero	NUM
ejpam-6198	599	26	when	when	SCONJ
ejpam-6198	599	27	time	time	NOUN
ejpam-6198	599	28	goes	go	VERB
ejpam-6198	599	29	to	to	ADP
ejpam-6198	599	30	infinity	infinity	NOUN
ejpam-6198	599	31	,	,	PUNCT
ejpam-6198	599	32	and	and	CCONJ
ejpam-6198	599	33	other	other	ADJ
ejpam-6198	599	34	parameters	parameter	NOUN
ejpam-6198	599	35	fixed	fix	VERB
ejpam-6198	599	36	in	in	ADP
ejpam-6198	599	37	all	all	DET
ejpam-6198	599	38	graphs	graph	NOUN
ejpam-6198	599	39	are	be	AUX
ejpam-6198	599	40	ϱ	ϱ	ADP
ejpam-6198	599	41	=	=	SYM
ejpam-6198	599	42	11.12	11.12	NUM
ejpam-6198	599	43	,	,	PUNCT
ejpam-6198	599	44	η	η	PROPN
ejpam-6198	599	45	=	=	PROPN
ejpam-6198	599	46	0.042	0.042	NUM
ejpam-6198	599	47	,	,	PUNCT
ejpam-6198	599	48	π1	π1	NOUN
ejpam-6198	599	49	=	=	SYM
ejpam-6198	599	50	0.4	0.4	NUM
ejpam-6198	599	51	,	,	PUNCT
ejpam-6198	599	52	π2	π2	NOUN
ejpam-6198	599	53	=	=	NOUN
ejpam-6198	599	54	0.8	0.8	NUM
ejpam-6198	600	1	,	,	PUNCT
ejpam-6198	600	2	u1	u1	NOUN
ejpam-6198	600	3	=	=	SYM
ejpam-6198	600	4	u2	u2	PROPN
ejpam-6198	600	5	=	=	PUNCT
ejpam-6198	600	6	v1	v1	NOUN
ejpam-6198	600	7	=	=	SYM
ejpam-6198	600	8	v2	v2	NOUN
ejpam-6198	600	9	=	=	SYM
ejpam-6198	600	10	2	2	NUM
ejpam-6198	600	11	,	,	PUNCT
ejpam-6198	600	12	m.	m.	NOUN
ejpam-6198	600	13	zafarullah	zafarullah	PROPN
ejpam-6198	600	14	et	et	PROPN
ejpam-6198	600	15	al	al	PROPN
ejpam-6198	600	16	.	.	PUNCT
ejpam-6198	600	17	/	/	SYM
ejpam-6198	600	18	eur	eur	PROPN
ejpam-6198	600	19	.	.	PUNCT
ejpam-6198	601	1	j.	j.	PROPN
ejpam-6198	601	2	pure	pure	PROPN
ejpam-6198	601	3	appl	appl	PROPN
ejpam-6198	601	4	.	.	PROPN
ejpam-6198	601	5	math	math	PROPN
ejpam-6198	601	6	,	,	PUNCT
ejpam-6198	601	7	18	18	NUM
ejpam-6198	601	8	(	(	PUNCT
ejpam-6198	601	9	4	4	NUM
ejpam-6198	601	10	)	)	PUNCT
ejpam-6198	601	11	(	(	PUNCT
ejpam-6198	601	12	2025	2025	NUM
ejpam-6198	601	13	)	)	PUNCT
ejpam-6198	601	14	,	,	PUNCT
ejpam-6198	601	15	6198	6198	NUM
ejpam-6198	601	16	30	30	NUM
ejpam-6198	601	17	of	of	ADP
ejpam-6198	601	18	41	41	NUM
ejpam-6198	601	19	ω	ω	NUM
ejpam-6198	601	20	=	=	SYM
ejpam-6198	601	21	3	3	NUM
ejpam-6198	601	22	,	,	PUNCT
ejpam-6198	601	23	α	α	NOUN
ejpam-6198	601	24	=	=	SYM
ejpam-6198	601	25	2.5	2.5	NUM
ejpam-6198	601	26	,	,	PUNCT
ejpam-6198	601	27	fractional	fractional	ADJ
ejpam-6198	601	28	parameter	parameter	NOUN
ejpam-6198	601	29	β	β	X
ejpam-6198	601	30	=	=	SYM
ejpam-6198	601	31	0.5	0.5	NUM
ejpam-6198	601	32	,	,	PUNCT
ejpam-6198	601	33	gm	gm	PROPN
ejpam-6198	601	34	=	=	NUM
ejpam-6198	601	35	0.5	0.5	NUM
ejpam-6198	601	36	,	,	PUNCT
ejpam-6198	601	37	gp	gp	NOUN
ejpam-6198	601	38	=	=	NUM
ejpam-6198	601	39	0.4	0.4	NUM
ejpam-6198	601	40	,	,	PUNCT
ejpam-6198	601	41	and	and	CCONJ
ejpam-6198	601	42	the	the	DET
ejpam-6198	601	43	radial	radial	ADJ
ejpam-6198	601	44	distance	distance	NOUN
ejpam-6198	601	45	off	off	ADP
ejpam-6198	601	46	course	course	NOUN
ejpam-6198	601	47	vary	vary	VERB
ejpam-6198	601	48	from	from	ADP
ejpam-6198	601	49	0.4	0.4	NUM
ejpam-6198	601	50	to	to	ADP
ejpam-6198	601	51	0.8	0.8	NUM
ejpam-6198	601	52	and	and	CCONJ
ejpam-6198	601	53	variation	variation	NOUN
ejpam-6198	601	54	in	in	ADP
ejpam-6198	601	55	t	t	PROPN
ejpam-6198	601	56	,	,	PUNCT
ejpam-6198	601	57	we	we	PRON
ejpam-6198	601	58	consider	consider	VERB
ejpam-6198	601	59	1	1	NUM
ejpam-6198	601	60	to	to	PART
ejpam-6198	601	61	6	6	NUM
ejpam-6198	601	62	,	,	PUNCT
ejpam-6198	601	63	unless	unless	SCONJ
ejpam-6198	601	64	otherwise	otherwise	ADV
ejpam-6198	601	65	stated	state	VERB
ejpam-6198	601	66	in	in	ADP
ejpam-6198	601	67	the	the	DET
ejpam-6198	601	68	diagram	diagram	NOUN
ejpam-6198	601	69	.	.	PUNCT
ejpam-6198	602	1	for	for	ADP
ejpam-6198	602	2	plotting	plot	VERB
ejpam-6198	602	3	these	these	DET
ejpam-6198	602	4	graphs	graph	NOUN
ejpam-6198	602	5	,	,	PUNCT
ejpam-6198	602	6	we	we	PRON
ejpam-6198	602	7	used	use	VERB
ejpam-6198	602	8	mathcad	mathcad	PROPN
ejpam-6198	602	9	program	program	PROPN
ejpam-6198	602	10	and	and	CCONJ
ejpam-6198	602	11	for	for	ADP
ejpam-6198	602	12	final	final	ADJ
ejpam-6198	602	13	makeup	makeup	NOUN
ejpam-6198	602	14	,	,	PUNCT
ejpam-6198	602	15	we	we	PRON
ejpam-6198	602	16	used	use	VERB
ejpam-6198	602	17	ms	ms	NOUN
ejpam-6198	602	18	paint	paint	NOUN
ejpam-6198	602	19	.	.	PUNCT
ejpam-6198	603	1	figure	figure	VERB
ejpam-6198	603	2	4	4	NUM
ejpam-6198	603	3	:	:	PUNCT
ejpam-6198	603	4	portraits	portrait	NOUN
ejpam-6198	603	5	of	of	ADP
ejpam-6198	603	6	the	the	DET
ejpam-6198	603	7	velocity	velocity	NOUN
ejpam-6198	603	8	fields	field	NOUN
ejpam-6198	603	9	w(ρ	w(ρ	PROPN
ejpam-6198	603	10	,	,	PUNCT
ejpam-6198	603	11	t	t	PROPN
ejpam-6198	603	12	)	)	PUNCT
ejpam-6198	603	13	and	and	CCONJ
ejpam-6198	603	14	v(ρ	v(ρ	PROPN
ejpam-6198	603	15	,	,	PUNCT
ejpam-6198	603	16	t	t	PROPN
ejpam-6198	603	17	)	)	PUNCT
ejpam-6198	603	18	and	and	CCONJ
ejpam-6198	603	19	shear	shear	NOUN
ejpam-6198	603	20	stresses	stress	VERB
ejpam-6198	603	21	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	603	22	,	,	PUNCT
ejpam-6198	603	23	t	t	PROPN
ejpam-6198	603	24	)	)	PUNCT
ejpam-6198	603	25	and	and	CCONJ
ejpam-6198	603	26	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	603	27	,	,	PUNCT
ejpam-6198	603	28	t	t	PROPN
ejpam-6198	603	29	)	)	PUNCT
ejpam-6198	603	30	presented	present	VERB
ejpam-6198	603	31	in	in	ADP
ejpam-6198	603	32	eqs	eqs	PROPN
ejpam-6198	603	33	.	.	PUNCT
ejpam-6198	604	1	(	(	PUNCT
ejpam-6198	604	2	35	35	NUM
ejpam-6198	604	3	)	)	PUNCT
ejpam-6198	604	4	,	,	PUNCT
ejpam-6198	604	5	(	(	PUNCT
ejpam-6198	604	6	36	36	NUM
ejpam-6198	604	7	)	)	PUNCT
ejpam-6198	604	8	,	,	PUNCT
ejpam-6198	604	9	(	(	PUNCT
ejpam-6198	604	10	41	41	NUM
ejpam-6198	604	11	)	)	PUNCT
ejpam-6198	604	12	and	and	CCONJ
ejpam-6198	604	13	(	(	PUNCT
ejpam-6198	604	14	42	42	NUM
ejpam-6198	604	15	)	)	PUNCT
ejpam-6198	604	16	,	,	PUNCT
ejpam-6198	604	17	for	for	ADP
ejpam-6198	604	18	gm	gm	PROPN
ejpam-6198	604	19	=	=	SYM
ejpam-6198	604	20	0.5	0.5	NUM
ejpam-6198	604	21	,	,	PUNCT
ejpam-6198	604	22	gp	gp	NOUN
ejpam-6198	604	23	=	=	SYM
ejpam-6198	604	24	0.4	0.4	NUM
ejpam-6198	604	25	dissimilar	dissimilar	ADJ
ejpam-6198	604	26	rates	rate	NOUN
ejpam-6198	604	27	of	of	ADP
ejpam-6198	604	28	α	α	NOUN
ejpam-6198	604	29	.	.	PUNCT
ejpam-6198	605	1	the	the	DET
ejpam-6198	605	2	effect	effect	NOUN
ejpam-6198	605	3	of	of	ADP
ejpam-6198	605	4	the	the	DET
ejpam-6198	605	5	radial	radial	ADJ
ejpam-6198	605	6	parameter	parameter	NOUN
ejpam-6198	605	7	of	of	ADP
ejpam-6198	605	8	ρ	ρ	PROPN
ejpam-6198	605	9	for	for	ADP
ejpam-6198	605	10	small	small	ADJ
ejpam-6198	605	11	and	and	CCONJ
ejpam-6198	605	12	large	large	ADJ
ejpam-6198	605	13	values	value	NOUN
ejpam-6198	605	14	of	of	ADP
ejpam-6198	605	15	time	time	NOUN
ejpam-6198	605	16	on	on	ADP
ejpam-6198	605	17	velocity	velocity	NOUN
ejpam-6198	605	18	fields	field	NOUN
ejpam-6198	605	19	and	and	CCONJ
ejpam-6198	605	20	shear	shear	NOUN
ejpam-6198	605	21	stresses	stress	NOUN
ejpam-6198	605	22	portrait	portrait	NOUN
ejpam-6198	605	23	is	be	AUX
ejpam-6198	605	24	highlighted	highlight	VERB
ejpam-6198	605	25	in	in	ADP
ejpam-6198	605	26	fig	fig	NOUN
ejpam-6198	605	27	.	.	PUNCT
ejpam-6198	606	1	2	2	X
ejpam-6198	606	2	.	.	X
ejpam-6198	606	3	it	it	PRON
ejpam-6198	606	4	is	be	AUX
ejpam-6198	606	5	noted	note	VERB
ejpam-6198	606	6	that	that	SCONJ
ejpam-6198	606	7	the	the	DET
ejpam-6198	606	8	amplitude	amplitude	NOUN
ejpam-6198	606	9	of	of	ADP
ejpam-6198	606	10	oscillation	oscillation	NOUN
ejpam-6198	606	11	of	of	ADP
ejpam-6198	606	12	these	these	DET
ejpam-6198	606	13	entities	entity	NOUN
ejpam-6198	606	14	decreases	decrease	VERB
ejpam-6198	606	15	with	with	ADP
ejpam-6198	606	16	the	the	DET
ejpam-6198	606	17	increase	increase	NOUN
ejpam-6198	606	18	of	of	ADP
ejpam-6198	606	19	radial	radial	ADJ
ejpam-6198	606	20	distance	distance	NOUN
ejpam-6198	606	21	.	.	PUNCT
ejpam-6198	607	1	however	however	ADV
ejpam-6198	607	2	for	for	ADP
ejpam-6198	607	3	v(ρ	v(ρ	PROPN
ejpam-6198	607	4	,	,	PUNCT
ejpam-6198	607	5	t	t	PROPN
ejpam-6198	607	6	)	)	PUNCT
ejpam-6198	607	7	these	these	DET
ejpam-6198	607	8	above	above	ADJ
ejpam-6198	607	9	comments	comment	NOUN
ejpam-6198	607	10	are	be	AUX
ejpam-6198	607	11	not	not	PART
ejpam-6198	607	12	appropriate	appropriate	ADJ
ejpam-6198	607	13	as	as	SCONJ
ejpam-6198	607	14	shown	show	VERB
ejpam-6198	607	15	in	in	ADP
ejpam-6198	607	16	fig	fig	NOUN
ejpam-6198	607	17	.	.	PUNCT
ejpam-6198	608	1	2(b	2(b	NUM
ejpam-6198	608	2	)	)	PUNCT
ejpam-6198	608	3	.	.	PUNCT
ejpam-6198	609	1	the	the	DET
ejpam-6198	609	2	large	large	ADJ
ejpam-6198	609	3	time	time	NOUN
ejpam-6198	609	4	effect	effect	NOUN
ejpam-6198	609	5	is	be	AUX
ejpam-6198	609	6	clearly	clearly	ADV
ejpam-6198	609	7	shown	show	VERB
ejpam-6198	609	8	in	in	ADP
ejpam-6198	609	9	all	all	DET
ejpam-6198	609	10	diagrams	diagram	NOUN
ejpam-6198	609	11	.	.	PUNCT
ejpam-6198	610	1	it	it	PRON
ejpam-6198	610	2	is	be	AUX
ejpam-6198	610	3	observed	observe	VERB
ejpam-6198	610	4	that	that	SCONJ
ejpam-6198	610	5	the	the	DET
ejpam-6198	610	6	portrait	portrait	NOUN
ejpam-6198	610	7	of	of	ADP
ejpam-6198	610	8	four	four	NUM
ejpam-6198	610	9	m.	m.	NOUN
ejpam-6198	610	10	zafarullah	zafarullah	PROPN
ejpam-6198	610	11	et	et	PROPN
ejpam-6198	610	12	al	al	PROPN
ejpam-6198	610	13	.	.	PUNCT
ejpam-6198	610	14	/	/	SYM
ejpam-6198	610	15	eur	eur	PROPN
ejpam-6198	610	16	.	.	PUNCT
ejpam-6198	611	1	j.	j.	PROPN
ejpam-6198	611	2	pure	pure	PROPN
ejpam-6198	611	3	appl	appl	PROPN
ejpam-6198	611	4	.	.	PROPN
ejpam-6198	611	5	math	math	PROPN
ejpam-6198	611	6	,	,	PUNCT
ejpam-6198	611	7	18	18	NUM
ejpam-6198	611	8	(	(	PUNCT
ejpam-6198	611	9	4	4	NUM
ejpam-6198	611	10	)	)	PUNCT
ejpam-6198	611	11	(	(	PUNCT
ejpam-6198	611	12	2025	2025	NUM
ejpam-6198	611	13	)	)	PUNCT
ejpam-6198	611	14	,	,	PUNCT
ejpam-6198	611	15	6198	6198	NUM
ejpam-6198	611	16	31	31	NUM
ejpam-6198	611	17	of	of	ADP
ejpam-6198	611	18	41	41	NUM
ejpam-6198	611	19	entities	entity	NOUN
ejpam-6198	611	20	tends	tend	VERB
ejpam-6198	611	21	to	to	ADP
ejpam-6198	611	22	zero	zero	NUM
ejpam-6198	611	23	for	for	ADP
ejpam-6198	611	24	large	large	ADJ
ejpam-6198	611	25	time	time	NOUN
ejpam-6198	611	26	t	t	PROPN
ejpam-6198	611	27	,	,	PUNCT
ejpam-6198	611	28	due	due	ADP
ejpam-6198	611	29	to	to	ADP
ejpam-6198	611	30	boundary	boundary	ADJ
ejpam-6198	611	31	condition	condition	NOUN
ejpam-6198	611	32	e−tsin(ωt	e−tsin(ωt	NUM
ejpam-6198	611	33	)	)	PUNCT
ejpam-6198	611	34	.	.	PUNCT
ejpam-6198	612	1	further	far	ADV
ejpam-6198	612	2	,	,	PUNCT
ejpam-6198	612	3	,	,	PUNCT
ejpam-6198	612	4	it	it	PRON
ejpam-6198	612	5	has	have	AUX
ejpam-6198	612	6	been	be	AUX
ejpam-6198	612	7	noted	note	VERB
ejpam-6198	612	8	that	that	SCONJ
ejpam-6198	612	9	ω(ρ	ω(ρ	NOUN
ejpam-6198	612	10	,	,	PUNCT
ejpam-6198	612	11	t	t	PROPN
ejpam-6198	612	12	)	)	PUNCT
ejpam-6198	612	13	and	and	CCONJ
ejpam-6198	612	14	v(ρ	v(ρ	PROPN
ejpam-6198	612	15	,	,	PUNCT
ejpam-6198	612	16	t	t	PROPN
ejpam-6198	612	17	)	)	PUNCT
ejpam-6198	612	18	and	and	CCONJ
ejpam-6198	612	19	similarly	similarly	ADV
ejpam-6198	612	20	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	612	21	,	,	PUNCT
ejpam-6198	612	22	t	t	PROPN
ejpam-6198	612	23	)	)	PUNCT
ejpam-6198	612	24	,	,	PUNCT
ejpam-6198	612	25	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	612	26	,	,	PUNCT
ejpam-6198	612	27	t	t	PROPN
ejpam-6198	612	28	)	)	PUNCT
ejpam-6198	612	29	have	have	VERB
ejpam-6198	612	30	quite	quite	ADV
ejpam-6198	612	31	opposite	opposite	ADJ
ejpam-6198	612	32	behavior	behavior	NOUN
ejpam-6198	612	33	in	in	ADP
ejpam-6198	612	34	their	their	PRON
ejpam-6198	612	35	respective	respective	ADJ
ejpam-6198	612	36	portraits	portrait	NOUN
ejpam-6198	612	37	.	.	PUNCT
ejpam-6198	613	1	it	it	PRON
ejpam-6198	613	2	is	be	AUX
ejpam-6198	613	3	also	also	ADV
ejpam-6198	613	4	clear	clear	ADJ
ejpam-6198	613	5	from	from	ADP
ejpam-6198	613	6	these	these	DET
ejpam-6198	613	7	pictures	picture	NOUN
ejpam-6198	613	8	v(ρ	v(ρ	PROPN
ejpam-6198	613	9	,	,	PUNCT
ejpam-6198	613	10	t	t	PROPN
ejpam-6198	613	11	)	)	PUNCT
ejpam-6198	613	12	and	and	CCONJ
ejpam-6198	613	13	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	613	14	,	,	PUNCT
ejpam-6198	613	15	t	t	PROPN
ejpam-6198	613	16	)	)	PUNCT
ejpam-6198	613	17	,	,	PUNCT
ejpam-6198	613	18	and	and	CCONJ
ejpam-6198	613	19	ω(ρ	ω(ρ	NOUN
ejpam-6198	613	20	,	,	PUNCT
ejpam-6198	613	21	t	t	PROPN
ejpam-6198	613	22	)	)	PUNCT
ejpam-6198	613	23	and	and	CCONJ
ejpam-6198	613	24	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	613	25	,	,	PUNCT
ejpam-6198	613	26	t	t	PROPN
ejpam-6198	613	27	)	)	PUNCT
ejpam-6198	613	28	have	have	VERB
ejpam-6198	613	29	again	again	ADV
ejpam-6198	613	30	quite	quite	ADV
ejpam-6198	613	31	opposite	opposite	ADJ
ejpam-6198	613	32	behavior	behavior	NOUN
ejpam-6198	613	33	in	in	ADP
ejpam-6198	613	34	their	their	PRON
ejpam-6198	613	35	portrait	portrait	NOUN
ejpam-6198	613	36	.	.	PUNCT
ejpam-6198	614	1	figure	figure	VERB
ejpam-6198	614	2	5	5	NUM
ejpam-6198	614	3	:	:	PUNCT
ejpam-6198	614	4	portraits	portrait	NOUN
ejpam-6198	614	5	of	of	ADP
ejpam-6198	614	6	the	the	DET
ejpam-6198	614	7	velocity	velocity	NOUN
ejpam-6198	614	8	fields	field	NOUN
ejpam-6198	614	9	w(ρ	w(ρ	PROPN
ejpam-6198	614	10	,	,	PUNCT
ejpam-6198	614	11	t	t	PROPN
ejpam-6198	614	12	)	)	PUNCT
ejpam-6198	614	13	and	and	CCONJ
ejpam-6198	614	14	v(ρ	v(ρ	PROPN
ejpam-6198	614	15	,	,	PUNCT
ejpam-6198	614	16	t	t	PROPN
ejpam-6198	614	17	)	)	PUNCT
ejpam-6198	614	18	and	and	CCONJ
ejpam-6198	614	19	shear	shear	NOUN
ejpam-6198	614	20	stresses	stress	VERB
ejpam-6198	614	21	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	614	22	,	,	PUNCT
ejpam-6198	614	23	t	t	PROPN
ejpam-6198	614	24	)	)	PUNCT
ejpam-6198	614	25	and	and	CCONJ
ejpam-6198	614	26	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	614	27	,	,	PUNCT
ejpam-6198	614	28	t	t	PROPN
ejpam-6198	614	29	)	)	PUNCT
ejpam-6198	614	30	presented	present	VERB
ejpam-6198	614	31	in	in	ADP
ejpam-6198	614	32	eqs	eqs	PROPN
ejpam-6198	614	33	.	.	PUNCT
ejpam-6198	615	1	(	(	PUNCT
ejpam-6198	615	2	35	35	NUM
ejpam-6198	615	3	)	)	PUNCT
ejpam-6198	615	4	,	,	PUNCT
ejpam-6198	615	5	(	(	PUNCT
ejpam-6198	615	6	36	36	NUM
ejpam-6198	615	7	)	)	PUNCT
ejpam-6198	615	8	,	,	PUNCT
ejpam-6198	615	9	(	(	PUNCT
ejpam-6198	615	10	41	41	NUM
ejpam-6198	615	11	)	)	PUNCT
ejpam-6198	615	12	and	and	CCONJ
ejpam-6198	615	13	(	(	PUNCT
ejpam-6198	615	14	42	42	NUM
ejpam-6198	615	15	)	)	PUNCT
ejpam-6198	615	16	,	,	PUNCT
ejpam-6198	615	17	for	for	ADP
ejpam-6198	615	18	α	α	NOUN
ejpam-6198	615	19	=	=	SYM
ejpam-6198	615	20	2	2	NUM
ejpam-6198	615	21	,	,	PUNCT
ejpam-6198	615	22	gm	gm	PROPN
ejpam-6198	615	23	=	=	SYM
ejpam-6198	615	24	5	5	NUM
ejpam-6198	615	25	,	,	PUNCT
ejpam-6198	615	26	gp	gp	NOUN
ejpam-6198	615	27	=	=	SYM
ejpam-6198	615	28	4	4	NUM
ejpam-6198	615	29	dissimilar	dissimilar	ADJ
ejpam-6198	615	30	rates	rate	NOUN
ejpam-6198	615	31	of	of	ADP
ejpam-6198	615	32	ν	ν	PROPN
ejpam-6198	615	33	.	.	PUNCT
ejpam-6198	616	1	the	the	DET
ejpam-6198	616	2	effect	effect	NOUN
ejpam-6198	616	3	of	of	ADP
ejpam-6198	616	4	time	time	NOUN
ejpam-6198	616	5	on	on	ADP
ejpam-6198	616	6	abc	abc	PROPN
ejpam-6198	616	7	fractionalized	fractionalize	VERB
ejpam-6198	616	8	helical	helical	ADJ
ejpam-6198	616	9	motion	motion	NOUN
ejpam-6198	616	10	of	of	ADP
ejpam-6198	616	11	second	second	ADJ
ejpam-6198	616	12	grade	grade	NOUN
ejpam-6198	616	13	fluid	fluid	NOUN
ejpam-6198	616	14	are	be	AUX
ejpam-6198	616	15	shown	show	VERB
ejpam-6198	616	16	in	in	ADP
ejpam-6198	616	17	fig	fig	NOUN
ejpam-6198	616	18	.	.	PUNCT
ejpam-6198	617	1	3	3	X
ejpam-6198	617	2	.	.	X
ejpam-6198	617	3	the	the	DET
ejpam-6198	617	4	velocity	velocity	NOUN
ejpam-6198	617	5	field	field	NOUN
ejpam-6198	617	6	components	component	NOUN
ejpam-6198	617	7	ω(ρ	ω(ρ	PROPN
ejpam-6198	617	8	,	,	PUNCT
ejpam-6198	617	9	t	t	PROPN
ejpam-6198	617	10	)	)	PUNCT
ejpam-6198	617	11	on	on	ADP
ejpam-6198	617	12	the	the	DET
ejpam-6198	617	13	entire	entire	ADJ
ejpam-6198	617	14	domain	domain	NOUN
ejpam-6198	617	15	and	and	CCONJ
ejpam-6198	617	16	60	60	NUM
ejpam-6198	617	17	%	%	NOUN
ejpam-6198	617	18	of	of	ADP
ejpam-6198	617	19	v(ρ	v(ρ	PROPN
ejpam-6198	617	20	,	,	PUNCT
ejpam-6198	617	21	t	t	PROPN
ejpam-6198	617	22	)	)	PUNCT
ejpam-6198	617	23	in	in	ADP
ejpam-6198	617	24	the	the	DET
ejpam-6198	617	25	given	give	VERB
ejpam-6198	617	26	domain	domain	NOUN
ejpam-6198	617	27	are	be	AUX
ejpam-6198	617	28	increasing	increase	VERB
ejpam-6198	617	29	function	function	NOUN
ejpam-6198	617	30	of	of	ADP
ejpam-6198	617	31	time	time	NOUN
ejpam-6198	617	32	t.	t.	PROPN
ejpam-6198	617	33	however	however	ADV
ejpam-6198	617	34	,	,	PUNCT
ejpam-6198	617	35	shear	shear	NOUN
ejpam-6198	617	36	stresses	stress	VERB
ejpam-6198	617	37	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	617	38	,	,	PUNCT
ejpam-6198	617	39	t	t	PROPN
ejpam-6198	617	40	)	)	PUNCT
ejpam-6198	617	41	and	and	CCONJ
ejpam-6198	617	42	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	617	43	,	,	PUNCT
ejpam-6198	617	44	t	t	PROPN
ejpam-6198	617	45	)	)	PUNCT
ejpam-6198	617	46	have	have	VERB
ejpam-6198	617	47	opposite	opposite	ADJ
ejpam-6198	617	48	portraits	portrait	NOUN
ejpam-6198	617	49	to	to	ADP
ejpam-6198	617	50	each	each	DET
ejpam-6198	617	51	other	other	ADJ
ejpam-6198	617	52	with	with	ADP
ejpam-6198	617	53	respect	respect	NOUN
ejpam-6198	617	54	to	to	ADP
ejpam-6198	617	55	time	time	NOUN
ejpam-6198	617	56	.	.	PUNCT
ejpam-6198	618	1	it	it	PRON
ejpam-6198	618	2	is	be	AUX
ejpam-6198	618	3	also	also	ADV
ejpam-6198	618	4	clear	clear	ADJ
ejpam-6198	618	5	from	from	ADP
ejpam-6198	618	6	these	these	DET
ejpam-6198	618	7	figures	figure	NOUN
ejpam-6198	618	8	that	that	SCONJ
ejpam-6198	618	9	rotational	rotational	ADJ
ejpam-6198	618	10	components	component	NOUN
ejpam-6198	618	11	of	of	ADP
ejpam-6198	618	12	velocity	velocity	NOUN
ejpam-6198	618	13	fields	field	NOUN
ejpam-6198	618	14	and	and	CCONJ
ejpam-6198	618	15	shear	shear	NOUN
ejpam-6198	618	16	stresses	stress	NOUN
ejpam-6198	618	17	m.	m.	VERB
ejpam-6198	618	18	zafarullah	zafarullah	PROPN
ejpam-6198	618	19	et	et	PROPN
ejpam-6198	618	20	al	al	PROPN
ejpam-6198	618	21	.	.	PUNCT
ejpam-6198	618	22	/	/	SYM
ejpam-6198	618	23	eur	eur	PROPN
ejpam-6198	618	24	.	.	PUNCT
ejpam-6198	619	1	j.	j.	PROPN
ejpam-6198	619	2	pure	pure	PROPN
ejpam-6198	619	3	appl	appl	PROPN
ejpam-6198	619	4	.	.	PROPN
ejpam-6198	619	5	math	math	PROPN
ejpam-6198	619	6	,	,	PUNCT
ejpam-6198	619	7	18	18	NUM
ejpam-6198	619	8	(	(	PUNCT
ejpam-6198	619	9	4	4	NUM
ejpam-6198	619	10	)	)	PUNCT
ejpam-6198	619	11	(	(	PUNCT
ejpam-6198	619	12	2025	2025	NUM
ejpam-6198	619	13	)	)	PUNCT
ejpam-6198	619	14	,	,	PUNCT
ejpam-6198	619	15	6198	6198	NUM
ejpam-6198	619	16	32	32	NUM
ejpam-6198	619	17	of	of	ADP
ejpam-6198	619	18	41	41	NUM
ejpam-6198	619	19	have	have	VERB
ejpam-6198	619	20	oscillating	oscillate	VERB
ejpam-6198	619	21	effects	effect	NOUN
ejpam-6198	619	22	in	in	ADP
ejpam-6198	619	23	their	their	PRON
ejpam-6198	619	24	portrait	portrait	NOUN
ejpam-6198	619	25	as	as	SCONJ
ejpam-6198	619	26	compared	compare	VERB
ejpam-6198	619	27	to	to	ADP
ejpam-6198	619	28	translation	translation	NOUN
ejpam-6198	619	29	entities	entity	NOUN
ejpam-6198	619	30	.	.	PUNCT
ejpam-6198	620	1	figure	figure	VERB
ejpam-6198	620	2	6	6	NUM
ejpam-6198	620	3	:	:	PUNCT
ejpam-6198	620	4	portraits	portrait	NOUN
ejpam-6198	620	5	of	of	ADP
ejpam-6198	620	6	the	the	DET
ejpam-6198	620	7	velocity	velocity	NOUN
ejpam-6198	620	8	fields	field	NOUN
ejpam-6198	620	9	w(ρ	w(ρ	PROPN
ejpam-6198	620	10	,	,	PUNCT
ejpam-6198	620	11	t	t	PROPN
ejpam-6198	620	12	)	)	PUNCT
ejpam-6198	620	13	and	and	CCONJ
ejpam-6198	620	14	v(ρ	v(ρ	PROPN
ejpam-6198	620	15	,	,	PUNCT
ejpam-6198	620	16	t	t	PROPN
ejpam-6198	620	17	)	)	PUNCT
ejpam-6198	620	18	and	and	CCONJ
ejpam-6198	620	19	shear	shear	NOUN
ejpam-6198	620	20	stresses	stress	VERB
ejpam-6198	620	21	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	620	22	,	,	PUNCT
ejpam-6198	620	23	t	t	PROPN
ejpam-6198	620	24	)	)	PUNCT
ejpam-6198	620	25	and	and	CCONJ
ejpam-6198	620	26	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	620	27	,	,	PUNCT
ejpam-6198	620	28	t	t	PROPN
ejpam-6198	620	29	)	)	PUNCT
ejpam-6198	620	30	presented	present	VERB
ejpam-6198	620	31	in	in	ADP
ejpam-6198	620	32	eqs	eqs	PROPN
ejpam-6198	620	33	.	.	PUNCT
ejpam-6198	621	1	(	(	PUNCT
ejpam-6198	621	2	35	35	NUM
ejpam-6198	621	3	)	)	PUNCT
ejpam-6198	621	4	,	,	PUNCT
ejpam-6198	621	5	(	(	PUNCT
ejpam-6198	621	6	36	36	NUM
ejpam-6198	621	7	)	)	PUNCT
ejpam-6198	621	8	,	,	PUNCT
ejpam-6198	621	9	(	(	PUNCT
ejpam-6198	621	10	41	41	NUM
ejpam-6198	621	11	)	)	PUNCT
ejpam-6198	621	12	and	and	CCONJ
ejpam-6198	621	13	(	(	PUNCT
ejpam-6198	621	14	42	42	NUM
ejpam-6198	621	15	)	)	PUNCT
ejpam-6198	621	16	,	,	PUNCT
ejpam-6198	621	17	for	for	ADP
ejpam-6198	621	18	α	α	NOUN
ejpam-6198	621	19	=	=	SYM
ejpam-6198	621	20	2	2	NUM
ejpam-6198	621	21	,	,	PUNCT
ejpam-6198	621	22	gp	gp	NOUN
ejpam-6198	621	23	=	=	SYM
ejpam-6198	621	24	2	2	NUM
ejpam-6198	621	25	dissimilar	dissimilar	ADJ
ejpam-6198	621	26	rates	rate	NOUN
ejpam-6198	621	27	of	of	ADP
ejpam-6198	621	28	gm	gm	PROPN
ejpam-6198	621	29	.	.	PUNCT
ejpam-6198	622	1	the	the	DET
ejpam-6198	622	2	very	very	ADV
ejpam-6198	622	3	internal	internal	ADJ
ejpam-6198	622	4	parameter	parameter	NOUN
ejpam-6198	622	5	of	of	ADP
ejpam-6198	622	6	second	second	ADJ
ejpam-6198	622	7	grade	grade	NOUN
ejpam-6198	622	8	fluid	fluid	NOUN
ejpam-6198	622	9	is	be	AUX
ejpam-6198	622	10	material	material	NOUN
ejpam-6198	622	11	parameter	parameter	NOUN
ejpam-6198	622	12	α	α	NOUN
ejpam-6198	622	13	.	.	PUNCT
ejpam-6198	623	1	the	the	DET
ejpam-6198	623	2	increasing	increase	VERB
ejpam-6198	623	3	values	value	NOUN
ejpam-6198	623	4	of	of	ADP
ejpam-6198	623	5	material	material	NOUN
ejpam-6198	623	6	parameter	parameter	NOUN
ejpam-6198	623	7	α	α	PROPN
ejpam-6198	623	8	increase	increase	VERB
ejpam-6198	623	9	the	the	DET
ejpam-6198	623	10	non	non	ADJ
ejpam-6198	623	11	-	-	ADJ
ejpam-6198	623	12	newtonian	newtonian	ADJ
ejpam-6198	623	13	behavior	behavior	NOUN
ejpam-6198	623	14	of	of	ADP
ejpam-6198	623	15	second	second	ADJ
ejpam-6198	623	16	grade	grade	NOUN
ejpam-6198	623	17	fluid	fluid	NOUN
ejpam-6198	623	18	.	.	PUNCT
ejpam-6198	624	1	the	the	DET
ejpam-6198	624	2	graphs	graph	NOUN
ejpam-6198	624	3	of	of	ADP
ejpam-6198	624	4	such	such	DET
ejpam-6198	624	5	an	an	DET
ejpam-6198	624	6	important	important	ADJ
ejpam-6198	624	7	and	and	CCONJ
ejpam-6198	624	8	interesting	interesting	ADJ
ejpam-6198	624	9	study	study	NOUN
ejpam-6198	624	10	of	of	ADP
ejpam-6198	624	11	the	the	DET
ejpam-6198	624	12	present	present	ADJ
ejpam-6198	624	13	research	research	NOUN
ejpam-6198	624	14	are	be	AUX
ejpam-6198	624	15	depicted	depict	VERB
ejpam-6198	624	16	in	in	ADP
ejpam-6198	624	17	fig	fig	NOUN
ejpam-6198	624	18	.	.	PUNCT
ejpam-6198	625	1	4	4	X
ejpam-6198	625	2	.	.	X
ejpam-6198	625	3	all	all	DET
ejpam-6198	625	4	graphs	graph	NOUN
ejpam-6198	625	5	agree	agree	VERB
ejpam-6198	625	6	that	that	SCONJ
ejpam-6198	625	7	large	large	ADJ
ejpam-6198	625	8	values	value	NOUN
ejpam-6198	625	9	of	of	ADP
ejpam-6198	625	10	material	material	NOUN
ejpam-6198	625	11	parameter	parameter	NOUN
ejpam-6198	625	12	α	α	PROPN
ejpam-6198	625	13	lower	low	ADJ
ejpam-6198	625	14	the	the	DET
ejpam-6198	625	15	amplitude	amplitude	NOUN
ejpam-6198	625	16	of	of	ADP
ejpam-6198	625	17	the	the	DET
ejpam-6198	625	18	motion	motion	NOUN
ejpam-6198	625	19	or	or	CCONJ
ejpam-6198	625	20	decay	decay	VERB
ejpam-6198	625	21	the	the	DET
ejpam-6198	625	22	motion	motion	NOUN
ejpam-6198	625	23	.	.	PUNCT
ejpam-6198	626	1	furthermore	furthermore	ADV
ejpam-6198	626	2	,	,	PUNCT
ejpam-6198	626	3	the	the	DET
ejpam-6198	626	4	rate	rate	NOUN
ejpam-6198	626	5	of	of	ADP
ejpam-6198	626	6	decay	decay	NOUN
ejpam-6198	626	7	in	in	ADP
ejpam-6198	626	8	shear	shear	NOUN
ejpam-6198	626	9	stress	stress	NOUN
ejpam-6198	626	10	portraits	portrait	NOUN
ejpam-6198	626	11	is	be	AUX
ejpam-6198	626	12	faster	fast	ADJ
ejpam-6198	626	13	than	than	ADP
ejpam-6198	626	14	in	in	ADP
ejpam-6198	626	15	velocity	velocity	NOUN
ejpam-6198	626	16	field	field	NOUN
ejpam-6198	626	17	components	component	NOUN
ejpam-6198	626	18	.	.	PUNCT
ejpam-6198	627	1	it	it	PRON
ejpam-6198	627	2	is	be	AUX
ejpam-6198	627	3	also	also	ADV
ejpam-6198	627	4	clear	clear	ADJ
ejpam-6198	627	5	from	from	ADP
ejpam-6198	627	6	these	these	DET
ejpam-6198	627	7	graphs	graph	NOUN
ejpam-6198	627	8	that	that	SCONJ
ejpam-6198	627	9	the	the	DET
ejpam-6198	627	10	shear	shear	NOUN
ejpam-6198	627	11	stress	stress	NOUN
ejpam-6198	627	12	component	component	NOUN
ejpam-6198	627	13	sρθ	sρθ	ADJ
ejpam-6198	627	14	decays	decay	NOUN
ejpam-6198	627	15	in	in	ADP
ejpam-6198	627	16	minimum	minimum	NOUN
ejpam-6198	627	17	and	and	CCONJ
ejpam-6198	627	18	the	the	DET
ejpam-6198	627	19	velocity	velocity	NOUN
ejpam-6198	627	20	field	field	NOUN
ejpam-6198	627	21	decays	decay	VERB
ejpam-6198	627	22	w(t	w(t	PROPN
ejpam-6198	627	23	)	)	PUNCT
ejpam-6198	627	24	in	in	ADP
ejpam-6198	627	25	maximum	maximum	ADJ
ejpam-6198	627	26	time	time	NOUN
ejpam-6198	627	27	.	.	PUNCT
ejpam-6198	628	1	m.	m.	NOUN
ejpam-6198	628	2	zafarullah	zafarullah	PROPN
ejpam-6198	628	3	et	et	PROPN
ejpam-6198	628	4	al	al	PROPN
ejpam-6198	628	5	.	.	PUNCT
ejpam-6198	628	6	/	/	SYM
ejpam-6198	628	7	eur	eur	PROPN
ejpam-6198	628	8	.	.	PUNCT
ejpam-6198	629	1	j.	j.	PROPN
ejpam-6198	629	2	pure	pure	PROPN
ejpam-6198	629	3	appl	appl	PROPN
ejpam-6198	629	4	.	.	PROPN
ejpam-6198	629	5	math	math	PROPN
ejpam-6198	629	6	,	,	PUNCT
ejpam-6198	629	7	18	18	NUM
ejpam-6198	629	8	(	(	PUNCT
ejpam-6198	629	9	4	4	NUM
ejpam-6198	629	10	)	)	PUNCT
ejpam-6198	629	11	(	(	PUNCT
ejpam-6198	629	12	2025	2025	NUM
ejpam-6198	629	13	)	)	PUNCT
ejpam-6198	629	14	,	,	PUNCT
ejpam-6198	629	15	6198	6198	NUM
ejpam-6198	629	16	33	33	NUM
ejpam-6198	629	17	of	of	ADP
ejpam-6198	629	18	41	41	NUM
ejpam-6198	629	19	figure	figure	NOUN
ejpam-6198	629	20	7	7	NUM
ejpam-6198	629	21	:	:	PUNCT
ejpam-6198	629	22	portraits	portrait	NOUN
ejpam-6198	629	23	of	of	ADP
ejpam-6198	629	24	the	the	DET
ejpam-6198	629	25	velocity	velocity	NOUN
ejpam-6198	629	26	fields	field	NOUN
ejpam-6198	629	27	w(ρ	w(ρ	PROPN
ejpam-6198	629	28	,	,	PUNCT
ejpam-6198	629	29	t	t	PROPN
ejpam-6198	629	30	)	)	PUNCT
ejpam-6198	629	31	and	and	CCONJ
ejpam-6198	629	32	v(ρ	v(ρ	PROPN
ejpam-6198	629	33	,	,	PUNCT
ejpam-6198	629	34	t	t	PROPN
ejpam-6198	629	35	)	)	PUNCT
ejpam-6198	629	36	and	and	CCONJ
ejpam-6198	629	37	shear	shear	NOUN
ejpam-6198	629	38	stresses	stress	VERB
ejpam-6198	629	39	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	629	40	,	,	PUNCT
ejpam-6198	629	41	t	t	PROPN
ejpam-6198	629	42	)	)	PUNCT
ejpam-6198	629	43	and	and	CCONJ
ejpam-6198	629	44	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	629	45	,	,	PUNCT
ejpam-6198	629	46	t	t	PROPN
ejpam-6198	629	47	)	)	PUNCT
ejpam-6198	629	48	presented	present	VERB
ejpam-6198	629	49	in	in	ADP
ejpam-6198	629	50	eqs	eqs	PROPN
ejpam-6198	629	51	.	.	PUNCT
ejpam-6198	630	1	(	(	PUNCT
ejpam-6198	630	2	35	35	NUM
ejpam-6198	630	3	)	)	PUNCT
ejpam-6198	630	4	,	,	PUNCT
ejpam-6198	630	5	(	(	PUNCT
ejpam-6198	630	6	36	36	NUM
ejpam-6198	630	7	)	)	PUNCT
ejpam-6198	630	8	,	,	PUNCT
ejpam-6198	630	9	(	(	PUNCT
ejpam-6198	630	10	41	41	NUM
ejpam-6198	630	11	)	)	PUNCT
ejpam-6198	630	12	and	and	CCONJ
ejpam-6198	630	13	(	(	PUNCT
ejpam-6198	630	14	42	42	NUM
ejpam-6198	630	15	)	)	PUNCT
ejpam-6198	630	16	,	,	PUNCT
ejpam-6198	630	17	for	for	ADP
ejpam-6198	630	18	α	α	NOUN
ejpam-6198	630	19	=	=	SYM
ejpam-6198	630	20	2	2	NUM
ejpam-6198	630	21	,	,	PUNCT
ejpam-6198	630	22	gm	gm	PROPN
ejpam-6198	630	23	=	=	SYM
ejpam-6198	630	24	2	2	NUM
ejpam-6198	630	25	dissimilar	dissimilar	ADJ
ejpam-6198	630	26	rates	rate	NOUN
ejpam-6198	630	27	of	of	ADP
ejpam-6198	630	28	gp	gp	NOUN
ejpam-6198	630	29	.	.	PUNCT
ejpam-6198	631	1	the	the	DET
ejpam-6198	631	2	other	other	ADJ
ejpam-6198	631	3	significant	significant	ADJ
ejpam-6198	631	4	internal	internal	ADJ
ejpam-6198	631	5	parameter	parameter	NOUN
ejpam-6198	631	6	that	that	PRON
ejpam-6198	631	7	resists	resist	VERB
ejpam-6198	631	8	the	the	DET
ejpam-6198	631	9	flow	flow	NOUN
ejpam-6198	631	10	is	be	AUX
ejpam-6198	631	11	the	the	DET
ejpam-6198	631	12	kinematic	kinematic	ADJ
ejpam-6198	631	13	viscosity	viscosity	NOUN
ejpam-6198	631	14	ν	ν	NOUN
ejpam-6198	631	15	.	.	PUNCT
ejpam-6198	632	1	as	as	SCONJ
ejpam-6198	632	2	it	it	PRON
ejpam-6198	632	3	is	be	AUX
ejpam-6198	632	4	a	a	DET
ejpam-6198	632	5	common	common	ADJ
ejpam-6198	632	6	phenomenon	phenomenon	NOUN
ejpam-6198	632	7	in	in	ADP
ejpam-6198	632	8	newtonian	newtonian	ADJ
ejpam-6198	632	9	fluid	fluid	NOUN
ejpam-6198	632	10	the	the	PRON
ejpam-6198	632	11	greater	great	ADJ
ejpam-6198	632	12	the	the	DET
ejpam-6198	632	13	viscosity	viscosity	NOUN
ejpam-6198	632	14	,	,	PUNCT
ejpam-6198	632	15	the	the	PRON
ejpam-6198	632	16	thicker	thick	ADJ
ejpam-6198	632	17	it	it	PRON
ejpam-6198	632	18	is	be	AUX
ejpam-6198	632	19	that	that	PRON
ejpam-6198	632	20	is	be	AUX
ejpam-6198	632	21	flow	flow	NOUN
ejpam-6198	632	22	is	be	AUX
ejpam-6198	632	23	slow	slow	ADJ
ejpam-6198	632	24	.	.	PUNCT
ejpam-6198	633	1	fig	fig	NOUN
ejpam-6198	633	2	.	.	PUNCT
ejpam-6198	634	1	5	5	NUM
ejpam-6198	634	2	shows	show	VERB
ejpam-6198	634	3	the	the	DET
ejpam-6198	634	4	impact	impact	NOUN
ejpam-6198	634	5	of	of	ADP
ejpam-6198	634	6	kinematic	kinematic	ADJ
ejpam-6198	634	7	viscosity	viscosity	NOUN
ejpam-6198	634	8	on	on	ADP
ejpam-6198	634	9	the	the	DET
ejpam-6198	634	10	present	present	ADJ
ejpam-6198	634	11	dynamical	dynamical	ADJ
ejpam-6198	634	12	system	system	NOUN
ejpam-6198	634	13	.	.	PUNCT
ejpam-6198	635	1	although	although	SCONJ
ejpam-6198	635	2	the	the	DET
ejpam-6198	635	3	fluid	fluid	NOUN
ejpam-6198	635	4	is	be	AUX
ejpam-6198	635	5	second	second	ADJ
ejpam-6198	635	6	grade	grade	NOUN
ejpam-6198	635	7	fluid	fluid	NOUN
ejpam-6198	635	8	,	,	PUNCT
ejpam-6198	635	9	it	it	PRON
ejpam-6198	635	10	is	be	AUX
ejpam-6198	635	11	clear	clear	ADJ
ejpam-6198	635	12	from	from	ADP
ejpam-6198	635	13	figs	fig	NOUN
ejpam-6198	635	14	.	.	PUNCT
ejpam-6198	636	1	5	5	NUM
ejpam-6198	636	2	that	that	SCONJ
ejpam-6198	636	3	the	the	PRON
ejpam-6198	636	4	larger	large	ADJ
ejpam-6198	636	5	the	the	DET
ejpam-6198	636	6	viscosity	viscosity	NOUN
ejpam-6198	636	7	the	the	PRON
ejpam-6198	636	8	slower	slow	ADJ
ejpam-6198	636	9	the	the	DET
ejpam-6198	636	10	flow	flow	NOUN
ejpam-6198	636	11	and	and	CCONJ
ejpam-6198	636	12	the	the	DET
ejpam-6198	636	13	amplitude	amplitude	NOUN
ejpam-6198	636	14	of	of	ADP
ejpam-6198	636	15	the	the	DET
ejpam-6198	636	16	motion	motion	NOUN
ejpam-6198	636	17	of	of	ADP
ejpam-6198	636	18	fluid	fluid	NOUN
ejpam-6198	636	19	reduced	reduce	VERB
ejpam-6198	636	20	.	.	PUNCT
ejpam-6198	637	1	however	however	ADV
ejpam-6198	637	2	,	,	PUNCT
ejpam-6198	637	3	fig	fig	NOUN
ejpam-6198	637	4	.	.	PUNCT
ejpam-6198	638	1	5(d	5(d	NUM
ejpam-6198	638	2	)	)	PUNCT
ejpam-6198	638	3	seems	seem	VERB
ejpam-6198	638	4	a	a	DET
ejpam-6198	638	5	little	little	ADJ
ejpam-6198	638	6	bit	bit	NOUN
ejpam-6198	638	7	opposite	opposite	ADV
ejpam-6198	638	8	here	here	ADV
ejpam-6198	639	1	but	but	CCONJ
ejpam-6198	639	2	we	we	PRON
ejpam-6198	639	3	can	can	AUX
ejpam-6198	639	4	ignore	ignore	VERB
ejpam-6198	639	5	it	it	PRON
ejpam-6198	639	6	as	as	ADP
ejpam-6198	639	7	difference	difference	NOUN
ejpam-6198	639	8	in	in	ADP
ejpam-6198	639	9	the	the	DET
ejpam-6198	639	10	four	four	NUM
ejpam-6198	639	11	portraits	portrait	NOUN
ejpam-6198	639	12	is	be	AUX
ejpam-6198	639	13	negligible	negligible	ADJ
ejpam-6198	639	14	.	.	PUNCT
ejpam-6198	640	1	the	the	DET
ejpam-6198	640	2	present	present	ADJ
ejpam-6198	640	3	study	study	NOUN
ejpam-6198	640	4	is	be	AUX
ejpam-6198	640	5	the	the	DET
ejpam-6198	640	6	electronically	electronically	ADV
ejpam-6198	640	7	conducting	conduct	VERB
ejpam-6198	640	8	fluid	fluid	ADJ
ejpam-6198	640	9	and	and	CCONJ
ejpam-6198	640	10	quantitative	quantitative	ADJ
ejpam-6198	640	11	measurement	measurement	NOUN
ejpam-6198	640	12	of	of	ADP
ejpam-6198	640	13	such	such	ADJ
ejpam-6198	640	14	fluid	fluid	NOUN
ejpam-6198	640	15	is	be	AUX
ejpam-6198	640	16	done	do	VERB
ejpam-6198	640	17	by	by	ADP
ejpam-6198	640	18	the	the	DET
ejpam-6198	640	19	magnetic	magnetic	ADJ
ejpam-6198	640	20	parameter	parameter	NOUN
ejpam-6198	640	21	gm	gm	PROPN
ejpam-6198	640	22	.	.	PUNCT
ejpam-6198	641	1	for	for	ADP
ejpam-6198	641	2	this	this	DET
ejpam-6198	641	3	purpose	purpose	NOUN
ejpam-6198	641	4	,	,	PUNCT
ejpam-6198	641	5	we	we	PRON
ejpam-6198	641	6	made	make	VERB
ejpam-6198	641	7	the	the	DET
ejpam-6198	641	8	figs	fig	NOUN
ejpam-6198	641	9	.	.	PUNCT
ejpam-6198	642	1	6	6	NUM
ejpam-6198	642	2	,	,	PUNCT
ejpam-6198	642	3	these	these	DET
ejpam-6198	642	4	graphs	graph	NOUN
ejpam-6198	642	5	explicitly	explicitly	ADV
ejpam-6198	642	6	show	show	VERB
ejpam-6198	642	7	the	the	DET
ejpam-6198	642	8	great	great	ADJ
ejpam-6198	642	9	impact	impact	NOUN
ejpam-6198	642	10	of	of	ADP
ejpam-6198	642	11	m.	m.	NOUN
ejpam-6198	642	12	zafarullah	zafarullah	PROPN
ejpam-6198	642	13	et	et	PROPN
ejpam-6198	642	14	al	al	PROPN
ejpam-6198	642	15	.	.	PUNCT
ejpam-6198	642	16	/	/	SYM
ejpam-6198	642	17	eur	eur	PROPN
ejpam-6198	642	18	.	.	PUNCT
ejpam-6198	643	1	j.	j.	PROPN
ejpam-6198	643	2	pure	pure	PROPN
ejpam-6198	643	3	appl	appl	PROPN
ejpam-6198	643	4	.	.	PROPN
ejpam-6198	643	5	math	math	PROPN
ejpam-6198	643	6	,	,	PUNCT
ejpam-6198	643	7	18	18	NUM
ejpam-6198	643	8	(	(	PUNCT
ejpam-6198	643	9	4	4	NUM
ejpam-6198	643	10	)	)	PUNCT
ejpam-6198	643	11	(	(	PUNCT
ejpam-6198	643	12	2025	2025	NUM
ejpam-6198	643	13	)	)	PUNCT
ejpam-6198	643	14	,	,	PUNCT
ejpam-6198	643	15	6198	6198	NUM
ejpam-6198	643	16	34	34	NUM
ejpam-6198	643	17	of	of	ADP
ejpam-6198	643	18	41	41	NUM
ejpam-6198	643	19	magnetic	magnetic	ADJ
ejpam-6198	643	20	parameters	parameter	NOUN
ejpam-6198	643	21	on	on	ADP
ejpam-6198	643	22	the	the	DET
ejpam-6198	643	23	present	present	ADJ
ejpam-6198	643	24	system	system	NOUN
ejpam-6198	643	25	.	.	PUNCT
ejpam-6198	644	1	it	it	PRON
ejpam-6198	644	2	is	be	AUX
ejpam-6198	644	3	obvious	obvious	ADJ
ejpam-6198	644	4	that	that	SCONJ
ejpam-6198	644	5	increasing	increase	VERB
ejpam-6198	644	6	the	the	DET
ejpam-6198	644	7	magnetic	magnetic	ADJ
ejpam-6198	644	8	parameter	parameter	NOUN
ejpam-6198	644	9	gm	gm	PROPN
ejpam-6198	644	10	decreases	decrease	VERB
ejpam-6198	644	11	the	the	DET
ejpam-6198	644	12	amplitude	amplitude	NOUN
ejpam-6198	644	13	of	of	ADP
ejpam-6198	644	14	the	the	DET
ejpam-6198	644	15	motion	motion	NOUN
ejpam-6198	644	16	and	and	CCONJ
ejpam-6198	644	17	the	the	DET
ejpam-6198	644	18	four	four	NUM
ejpam-6198	644	19	essences	essence	NOUN
ejpam-6198	644	20	in	in	ADP
ejpam-6198	644	21	figs	fig	NOUN
ejpam-6198	644	22	.	.	PUNCT
ejpam-6198	645	1	6	6	NUM
ejpam-6198	645	2	tend	tend	VERB
ejpam-6198	645	3	to	to	ADP
ejpam-6198	645	4	zero	zero	NUM
ejpam-6198	645	5	faster	fast	ADV
ejpam-6198	645	6	than	than	ADP
ejpam-6198	645	7	figs	fig	NOUN
ejpam-6198	645	8	.	.	PUNCT
ejpam-6198	646	1	4	4	NUM
ejpam-6198	646	2	and	and	CCONJ
ejpam-6198	646	3	5	5	NUM
ejpam-6198	646	4	.	.	X
ejpam-6198	646	5	figure	figure	VERB
ejpam-6198	646	6	8	8	NUM
ejpam-6198	646	7	:	:	PUNCT
ejpam-6198	646	8	portraits	portrait	NOUN
ejpam-6198	646	9	of	of	ADP
ejpam-6198	646	10	the	the	DET
ejpam-6198	646	11	velocity	velocity	NOUN
ejpam-6198	646	12	fields	field	NOUN
ejpam-6198	646	13	w(ρ	w(ρ	PROPN
ejpam-6198	646	14	,	,	PUNCT
ejpam-6198	646	15	t	t	PROPN
ejpam-6198	646	16	)	)	PUNCT
ejpam-6198	646	17	and	and	CCONJ
ejpam-6198	646	18	v(ρ	v(ρ	PROPN
ejpam-6198	646	19	,	,	PUNCT
ejpam-6198	646	20	t	t	PROPN
ejpam-6198	646	21	)	)	PUNCT
ejpam-6198	646	22	and	and	CCONJ
ejpam-6198	646	23	shear	shear	NOUN
ejpam-6198	646	24	stresses	stress	VERB
ejpam-6198	646	25	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	646	26	,	,	PUNCT
ejpam-6198	646	27	t	t	PROPN
ejpam-6198	646	28	)	)	PUNCT
ejpam-6198	646	29	and	and	CCONJ
ejpam-6198	646	30	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	646	31	,	,	PUNCT
ejpam-6198	646	32	t	t	PROPN
ejpam-6198	646	33	)	)	PUNCT
ejpam-6198	646	34	presented	present	VERB
ejpam-6198	646	35	in	in	ADP
ejpam-6198	646	36	eqs	eqs	PROPN
ejpam-6198	646	37	.	.	PUNCT
ejpam-6198	647	1	(	(	PUNCT
ejpam-6198	647	2	35	35	NUM
ejpam-6198	647	3	)	)	PUNCT
ejpam-6198	647	4	,	,	PUNCT
ejpam-6198	647	5	(	(	PUNCT
ejpam-6198	647	6	36	36	NUM
ejpam-6198	647	7	)	)	PUNCT
ejpam-6198	647	8	,	,	PUNCT
ejpam-6198	647	9	(	(	PUNCT
ejpam-6198	647	10	41	41	NUM
ejpam-6198	647	11	)	)	PUNCT
ejpam-6198	647	12	and	and	CCONJ
ejpam-6198	647	13	(	(	PUNCT
ejpam-6198	647	14	42	42	NUM
ejpam-6198	647	15	)	)	PUNCT
ejpam-6198	647	16	,	,	PUNCT
ejpam-6198	647	17	for	for	ADP
ejpam-6198	647	18	α	α	NOUN
ejpam-6198	647	19	=	=	SYM
ejpam-6198	647	20	1.5	1.5	NUM
ejpam-6198	647	21	,	,	PUNCT
ejpam-6198	648	1	gm	gm	PROPN
ejpam-6198	648	2	=	=	SYM
ejpam-6198	648	3	3	3	NUM
ejpam-6198	648	4	,	,	PUNCT
ejpam-6198	648	5	gp	gp	NOUN
ejpam-6198	648	6	=	=	SYM
ejpam-6198	648	7	2	2	NUM
ejpam-6198	648	8	dissimilar	dissimilar	ADJ
ejpam-6198	648	9	rates	rate	NOUN
ejpam-6198	648	10	of	of	ADP
ejpam-6198	648	11	β	β	PROPN
ejpam-6198	648	12	.	.	PUNCT
ejpam-6198	649	1	the	the	DET
ejpam-6198	649	2	porosity	porosity	NOUN
ejpam-6198	649	3	gp	gp	NOUN
ejpam-6198	649	4	of	of	ADP
ejpam-6198	649	5	the	the	DET
ejpam-6198	649	6	material	material	NOUN
ejpam-6198	649	7	can	can	AUX
ejpam-6198	649	8	not	not	PART
ejpam-6198	649	9	be	be	AUX
ejpam-6198	649	10	neglected	neglect	VERB
ejpam-6198	649	11	.	.	PUNCT
ejpam-6198	650	1	it	it	PRON
ejpam-6198	650	2	is	be	AUX
ejpam-6198	650	3	the	the	DET
ejpam-6198	650	4	effect	effect	NOUN
ejpam-6198	650	5	that	that	PRON
ejpam-6198	650	6	decreases	decrease	VERB
ejpam-6198	650	7	the	the	DET
ejpam-6198	650	8	strength	strength	NOUN
ejpam-6198	650	9	of	of	ADP
ejpam-6198	650	10	the	the	DET
ejpam-6198	650	11	flow	flow	NOUN
ejpam-6198	650	12	.	.	PUNCT
ejpam-6198	651	1	without	without	ADP
ejpam-6198	651	2	porosity	porosity	NOUN
ejpam-6198	651	3	is	be	AUX
ejpam-6198	651	4	the	the	DET
ejpam-6198	651	5	ideal	ideal	ADJ
ejpam-6198	651	6	condition	condition	NOUN
ejpam-6198	651	7	,	,	PUNCT
ejpam-6198	651	8	which	which	PRON
ejpam-6198	651	9	practically	practically	ADV
ejpam-6198	651	10	does	do	AUX
ejpam-6198	651	11	not	not	PART
ejpam-6198	651	12	exist	exist	VERB
ejpam-6198	651	13	.	.	PUNCT
ejpam-6198	652	1	this	this	DET
ejpam-6198	652	2	resistive	resistive	ADJ
ejpam-6198	652	3	measure	measure	NOUN
ejpam-6198	652	4	quantitatively	quantitatively	ADV
ejpam-6198	652	5	is	be	AUX
ejpam-6198	652	6	explained	explain	VERB
ejpam-6198	652	7	in	in	ADP
ejpam-6198	652	8	figs	fig	NOUN
ejpam-6198	652	9	.	.	PUNCT
ejpam-6198	653	1	7	7	X
ejpam-6198	653	2	.	.	X
ejpam-6198	653	3	it	it	PRON
ejpam-6198	653	4	is	be	AUX
ejpam-6198	653	5	noted	note	VERB
ejpam-6198	653	6	that	that	SCONJ
ejpam-6198	653	7	the	the	DET
ejpam-6198	653	8	present	present	ADJ
ejpam-6198	653	9	flow	flow	NOUN
ejpam-6198	653	10	conditions	condition	NOUN
ejpam-6198	653	11	put	put	VERB
ejpam-6198	653	12	the	the	DET
ejpam-6198	653	13	effect	effect	NOUN
ejpam-6198	653	14	of	of	ADP
ejpam-6198	653	15	porosity	porosity	NOUN
ejpam-6198	653	16	measure	measure	NOUN
ejpam-6198	653	17	in	in	ADP
ejpam-6198	653	18	such	such	ADJ
ejpam-6198	653	19	that	that	SCONJ
ejpam-6198	653	20	increasing	increase	VERB
ejpam-6198	653	21	values	value	NOUN
ejpam-6198	653	22	of	of	ADP
ejpam-6198	653	23	porosity	porosity	NOUN
ejpam-6198	653	24	will	will	AUX
ejpam-6198	653	25	reduce	reduce	VERB
ejpam-6198	653	26	the	the	DET
ejpam-6198	653	27	oscillating	oscillate	VERB
ejpam-6198	653	28	motion	motion	NOUN
ejpam-6198	653	29	of	of	ADP
ejpam-6198	653	30	the	the	DET
ejpam-6198	653	31	fluid	fluid	NOUN
ejpam-6198	653	32	.	.	PUNCT
ejpam-6198	654	1	however	however	ADV
ejpam-6198	654	2	,	,	PUNCT
ejpam-6198	654	3	there	there	PRON
ejpam-6198	654	4	are	be	VERB
ejpam-6198	654	5	different	different	ADJ
ejpam-6198	654	6	portraits	portrait	NOUN
ejpam-6198	654	7	in	in	ADP
ejpam-6198	654	8	fig	fig	NOUN
ejpam-6198	654	9	7(b	7(b	NOUN
ejpam-6198	654	10	)	)	PUNCT
ejpam-6198	654	11	,	,	PUNCT
ejpam-6198	654	12	which	which	PRON
ejpam-6198	654	13	is	be	AUX
ejpam-6198	654	14	due	due	ADJ
ejpam-6198	654	15	to	to	ADP
ejpam-6198	654	16	the	the	DET
ejpam-6198	654	17	oscillating	oscillate	VERB
ejpam-6198	654	18	motion	motion	NOUN
ejpam-6198	654	19	of	of	ADP
ejpam-6198	654	20	the	the	DET
ejpam-6198	654	21	fluid	fluid	NOUN
ejpam-6198	654	22	.	.	PUNCT
ejpam-6198	655	1	further	far	ADV
ejpam-6198	655	2	,	,	PUNCT
ejpam-6198	655	3	m.	m.	NOUN
ejpam-6198	655	4	zafarullah	zafarullah	PROPN
ejpam-6198	655	5	et	et	PROPN
ejpam-6198	655	6	al	al	PROPN
ejpam-6198	655	7	.	.	PUNCT
ejpam-6198	655	8	/	/	SYM
ejpam-6198	655	9	eur	eur	PROPN
ejpam-6198	655	10	.	.	PUNCT
ejpam-6198	656	1	j.	j.	PROPN
ejpam-6198	656	2	pure	pure	PROPN
ejpam-6198	656	3	appl	appl	PROPN
ejpam-6198	656	4	.	.	PROPN
ejpam-6198	656	5	math	math	PROPN
ejpam-6198	656	6	,	,	PUNCT
ejpam-6198	656	7	18	18	NUM
ejpam-6198	656	8	(	(	PUNCT
ejpam-6198	656	9	4	4	NUM
ejpam-6198	656	10	)	)	PUNCT
ejpam-6198	656	11	(	(	PUNCT
ejpam-6198	656	12	2025	2025	NUM
ejpam-6198	656	13	)	)	PUNCT
ejpam-6198	656	14	,	,	PUNCT
ejpam-6198	656	15	6198	6198	NUM
ejpam-6198	656	16	35	35	NUM
ejpam-6198	656	17	of	of	ADP
ejpam-6198	656	18	41	41	NUM
ejpam-6198	656	19	the	the	DET
ejpam-6198	656	20	impact	impact	NOUN
ejpam-6198	656	21	of	of	ADP
ejpam-6198	656	22	the	the	DET
ejpam-6198	656	23	porosity	porosity	NOUN
ejpam-6198	656	24	parameter	parameter	NOUN
ejpam-6198	656	25	gp	gp	NOUN
ejpam-6198	656	26	on	on	ADP
ejpam-6198	656	27	the	the	DET
ejpam-6198	656	28	reduction	reduction	NOUN
ejpam-6198	656	29	of	of	ADP
ejpam-6198	656	30	motion	motion	NOUN
ejpam-6198	656	31	of	of	ADP
ejpam-6198	656	32	the	the	DET
ejpam-6198	656	33	fluid	fluid	NOUN
ejpam-6198	656	34	is	be	AUX
ejpam-6198	656	35	lower	low	ADJ
ejpam-6198	656	36	than	than	ADP
ejpam-6198	656	37	the	the	DET
ejpam-6198	656	38	magnetic	magnetic	ADJ
ejpam-6198	656	39	parameter	parameter	NOUN
ejpam-6198	656	40	gm	gm	PROPN
ejpam-6198	656	41	.	.	PUNCT
ejpam-6198	657	1	today	today	NOUN
ejpam-6198	657	2	’s	’s	PART
ejpam-6198	657	3	world	world	NOUN
ejpam-6198	657	4	is	be	AUX
ejpam-6198	657	5	a	a	DET
ejpam-6198	657	6	fractionalized	fractionalize	VERB
ejpam-6198	657	7	world	world	NOUN
ejpam-6198	657	8	.	.	PUNCT
ejpam-6198	658	1	all	all	DET
ejpam-6198	658	2	sciences	science	NOUN
ejpam-6198	658	3	,	,	PUNCT
ejpam-6198	658	4	engineering	engineering	NOUN
ejpam-6198	658	5	,	,	PUNCT
ejpam-6198	658	6	and	and	CCONJ
ejpam-6198	658	7	social	social	ADJ
ejpam-6198	658	8	-	-	PUNCT
ejpam-6198	658	9	economic	economic	ADJ
ejpam-6198	658	10	information	information	NOUN
ejpam-6198	658	11	are	be	AUX
ejpam-6198	658	12	nowadays	nowadays	ADV
ejpam-6198	658	13	transformed	transform	VERB
ejpam-6198	658	14	into	into	ADP
ejpam-6198	658	15	a	a	DET
ejpam-6198	658	16	fractionalized	fractionalize	VERB
ejpam-6198	658	17	system	system	NOUN
ejpam-6198	658	18	.	.	PUNCT
ejpam-6198	659	1	the	the	DET
ejpam-6198	659	2	reason	reason	NOUN
ejpam-6198	659	3	is	be	AUX
ejpam-6198	659	4	clear	clear	ADJ
ejpam-6198	659	5	that	that	SCONJ
ejpam-6198	659	6	integer	integer	NOUN
ejpam-6198	659	7	order	order	NOUN
ejpam-6198	659	8	explanation	explanation	NOUN
ejpam-6198	659	9	is	be	AUX
ejpam-6198	659	10	not	not	PART
ejpam-6198	659	11	enough	enough	ADJ
ejpam-6198	659	12	to	to	PART
ejpam-6198	659	13	explore	explore	VERB
ejpam-6198	659	14	the	the	DET
ejpam-6198	659	15	world	world	NOUN
ejpam-6198	659	16	.	.	PUNCT
ejpam-6198	660	1	very	very	ADV
ejpam-6198	660	2	recent	recent	ADJ
ejpam-6198	660	3	fractional	fractional	ADJ
ejpam-6198	660	4	derivative	derivative	NOUN
ejpam-6198	660	5	that	that	PRON
ejpam-6198	660	6	has	have	AUX
ejpam-6198	660	7	already	already	ADV
ejpam-6198	660	8	discussed	discuss	VERB
ejpam-6198	660	9	is	be	AUX
ejpam-6198	660	10	the	the	DET
ejpam-6198	660	11	atangana	atangana	PROPN
ejpam-6198	660	12	baleanu	baleanu	PROPN
ejpam-6198	660	13	caputo	caputo	PROPN
ejpam-6198	660	14	(	(	PUNCT
ejpam-6198	660	15	abc	abc	PROPN
ejpam-6198	660	16	)	)	PUNCT
ejpam-6198	660	17	operator	operator	NOUN
ejpam-6198	660	18	β	β	NOUN
ejpam-6198	660	19	that	that	PRON
ejpam-6198	660	20	is	be	AUX
ejpam-6198	660	21	used	use	VERB
ejpam-6198	660	22	in	in	ADP
ejpam-6198	660	23	this	this	DET
ejpam-6198	660	24	study	study	NOUN
ejpam-6198	660	25	.	.	PUNCT
ejpam-6198	661	1	the	the	DET
ejpam-6198	661	2	effect	effect	NOUN
ejpam-6198	661	3	of	of	ADP
ejpam-6198	661	4	this	this	DET
ejpam-6198	661	5	operator	operator	NOUN
ejpam-6198	661	6	is	be	AUX
ejpam-6198	661	7	explored	explore	VERB
ejpam-6198	661	8	in	in	ADP
ejpam-6198	661	9	the	the	DET
ejpam-6198	661	10	figs	fig	NOUN
ejpam-6198	661	11	.	.	PUNCT
ejpam-6198	662	1	8	8	X
ejpam-6198	662	2	.	.	PUNCT
ejpam-6198	663	1	it	it	PRON
ejpam-6198	663	2	brings	bring	VERB
ejpam-6198	663	3	to	to	ADP
ejpam-6198	663	4	the	the	DET
ejpam-6198	663	5	knowledge	knowledge	NOUN
ejpam-6198	663	6	that	that	SCONJ
ejpam-6198	663	7	three	three	NUM
ejpam-6198	663	8	entities	entity	NOUN
ejpam-6198	663	9	v(t	v(t	NUM
ejpam-6198	663	10	)	)	PUNCT
ejpam-6198	663	11	,	,	PUNCT
ejpam-6198	663	12	sρθ	sρθ	ADJ
ejpam-6198	663	13	and	and	CCONJ
ejpam-6198	663	14	sρz	sρz	NOUN
ejpam-6198	663	15	are	be	AUX
ejpam-6198	663	16	increasing	increase	VERB
ejpam-6198	663	17	functions	function	NOUN
ejpam-6198	663	18	of	of	ADP
ejpam-6198	663	19	the	the	DET
ejpam-6198	663	20	abc	abc	PROPN
ejpam-6198	663	21	fractional	fractional	PROPN
ejpam-6198	663	22	operator	operator	NOUN
ejpam-6198	663	23	β	β	NOUN
ejpam-6198	663	24	,	,	PUNCT
ejpam-6198	663	25	however	however	ADV
ejpam-6198	663	26	,	,	PUNCT
ejpam-6198	663	27	the	the	DET
ejpam-6198	663	28	w(t	w(t	PROPN
ejpam-6198	663	29	)	)	PUNCT
ejpam-6198	663	30	is	be	AUX
ejpam-6198	663	31	quite	quite	ADV
ejpam-6198	663	32	opposite	opposite	ADJ
ejpam-6198	663	33	behavior	behavior	NOUN
ejpam-6198	663	34	in	in	ADP
ejpam-6198	663	35	comparison	comparison	NOUN
ejpam-6198	663	36	to	to	ADP
ejpam-6198	663	37	three	three	NUM
ejpam-6198	663	38	.	.	PUNCT
ejpam-6198	664	1	figure	figure	VERB
ejpam-6198	664	2	9	9	NUM
ejpam-6198	664	3	:	:	PUNCT
ejpam-6198	664	4	portraits	portrait	NOUN
ejpam-6198	664	5	of	of	ADP
ejpam-6198	664	6	the	the	DET
ejpam-6198	664	7	velocity	velocity	NOUN
ejpam-6198	664	8	fields	field	NOUN
ejpam-6198	664	9	w(ρ	w(ρ	PROPN
ejpam-6198	664	10	,	,	PUNCT
ejpam-6198	664	11	t	t	PROPN
ejpam-6198	664	12	)	)	PUNCT
ejpam-6198	664	13	and	and	CCONJ
ejpam-6198	664	14	v(ρ	v(ρ	PROPN
ejpam-6198	664	15	,	,	PUNCT
ejpam-6198	664	16	t	t	PROPN
ejpam-6198	664	17	)	)	PUNCT
ejpam-6198	664	18	and	and	CCONJ
ejpam-6198	664	19	shear	shear	NOUN
ejpam-6198	664	20	stresses	stress	VERB
ejpam-6198	664	21	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	664	22	,	,	PUNCT
ejpam-6198	664	23	t	t	PROPN
ejpam-6198	664	24	)	)	PUNCT
ejpam-6198	664	25	and	and	CCONJ
ejpam-6198	664	26	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	664	27	,	,	PUNCT
ejpam-6198	664	28	t	t	PROPN
ejpam-6198	664	29	)	)	PUNCT
ejpam-6198	664	30	for	for	ADP
ejpam-6198	664	31	α	α	NOUN
ejpam-6198	664	32	=	=	SYM
ejpam-6198	664	33	2.5	2.5	NUM
ejpam-6198	664	34	,	,	PUNCT
ejpam-6198	664	35	gm	gm	PROPN
ejpam-6198	664	36	=	=	PUNCT
ejpam-6198	664	37	2.5	2.5	NUM
ejpam-6198	664	38	,	,	PUNCT
ejpam-6198	664	39	gp	gp	NOUN
ejpam-6198	664	40	=	=	SYM
ejpam-6198	664	41	1.5	1.5	NUM
ejpam-6198	664	42	for	for	ADP
ejpam-6198	664	43	dissimilar	dissimilar	ADJ
ejpam-6198	664	44	types	type	NOUN
ejpam-6198	664	45	of	of	ADP
ejpam-6198	664	46	fluids	fluid	NOUN
ejpam-6198	664	47	.	.	PUNCT
ejpam-6198	665	1	m.	m.	NOUN
ejpam-6198	665	2	zafarullah	zafarullah	PROPN
ejpam-6198	665	3	et	et	PROPN
ejpam-6198	665	4	al	al	PROPN
ejpam-6198	665	5	.	.	PUNCT
ejpam-6198	665	6	/	/	SYM
ejpam-6198	665	7	eur	eur	PROPN
ejpam-6198	665	8	.	.	PUNCT
ejpam-6198	666	1	j.	j.	PROPN
ejpam-6198	666	2	pure	pure	PROPN
ejpam-6198	666	3	appl	appl	PROPN
ejpam-6198	666	4	.	.	PROPN
ejpam-6198	666	5	math	math	PROPN
ejpam-6198	666	6	,	,	PUNCT
ejpam-6198	666	7	18	18	NUM
ejpam-6198	666	8	(	(	PUNCT
ejpam-6198	666	9	4	4	NUM
ejpam-6198	666	10	)	)	PUNCT
ejpam-6198	666	11	(	(	PUNCT
ejpam-6198	666	12	2025	2025	NUM
ejpam-6198	666	13	)	)	PUNCT
ejpam-6198	666	14	,	,	PUNCT
ejpam-6198	666	15	6198	6198	NUM
ejpam-6198	666	16	36	36	NUM
ejpam-6198	666	17	of	of	ADP
ejpam-6198	666	18	41	41	NUM
ejpam-6198	666	19	figure	figure	NOUN
ejpam-6198	666	20	10	10	NUM
ejpam-6198	666	21	:	:	PUNCT
ejpam-6198	666	22	portraits	portrait	NOUN
ejpam-6198	666	23	of	of	ADP
ejpam-6198	666	24	the	the	DET
ejpam-6198	666	25	velocity	velocity	NOUN
ejpam-6198	666	26	fields	field	NOUN
ejpam-6198	666	27	w(ρ	w(ρ	PROPN
ejpam-6198	666	28	,	,	PUNCT
ejpam-6198	666	29	t	t	PROPN
ejpam-6198	666	30	)	)	PUNCT
ejpam-6198	666	31	and	and	CCONJ
ejpam-6198	666	32	v(ρ	v(ρ	PROPN
ejpam-6198	666	33	,	,	PUNCT
ejpam-6198	666	34	t	t	PROPN
ejpam-6198	666	35	)	)	PUNCT
ejpam-6198	666	36	and	and	CCONJ
ejpam-6198	666	37	shear	shear	NOUN
ejpam-6198	666	38	stresses	stress	VERB
ejpam-6198	666	39	sρθ(ρ	sρθ(ρ	PROPN
ejpam-6198	666	40	,	,	PUNCT
ejpam-6198	666	41	t	t	PROPN
ejpam-6198	666	42	)	)	PUNCT
ejpam-6198	666	43	and	and	CCONJ
ejpam-6198	666	44	sρz(ρ	sρz(ρ	PROPN
ejpam-6198	666	45	,	,	PUNCT
ejpam-6198	666	46	t	t	PROPN
ejpam-6198	666	47	)	)	PUNCT
ejpam-6198	666	48	for	for	ADP
ejpam-6198	666	49	α	α	NOUN
ejpam-6198	666	50	=	=	SYM
ejpam-6198	666	51	2.5	2.5	NUM
ejpam-6198	666	52	,	,	PUNCT
ejpam-6198	666	53	gm	gm	PROPN
ejpam-6198	666	54	=	=	PUNCT
ejpam-6198	666	55	2.5	2.5	NUM
ejpam-6198	666	56	,	,	PUNCT
ejpam-6198	666	57	gp	gp	NOUN
ejpam-6198	666	58	=	=	SYM
ejpam-6198	666	59	1.5	1.5	NUM
ejpam-6198	666	60	for	for	ADP
ejpam-6198	666	61	dissimilar	dissimilar	ADJ
ejpam-6198	666	62	types	type	NOUN
ejpam-6198	666	63	of	of	ADP
ejpam-6198	666	64	fluids	fluid	NOUN
ejpam-6198	666	65	.	.	PUNCT
ejpam-6198	667	1	in	in	ADP
ejpam-6198	667	2	order	order	NOUN
ejpam-6198	667	3	to	to	PART
ejpam-6198	667	4	make	make	VERB
ejpam-6198	667	5	this	this	DET
ejpam-6198	667	6	study	study	NOUN
ejpam-6198	667	7	more	more	ADV
ejpam-6198	667	8	interesting	interesting	ADJ
ejpam-6198	667	9	and	and	CCONJ
ejpam-6198	667	10	draw	draw	VERB
ejpam-6198	667	11	some	some	DET
ejpam-6198	667	12	more	more	ADJ
ejpam-6198	667	13	extract	extract	NOUN
ejpam-6198	667	14	and	and	CCONJ
ejpam-6198	667	15	conclusions	conclusion	NOUN
ejpam-6198	667	16	,	,	PUNCT
ejpam-6198	667	17	we	we	PRON
ejpam-6198	667	18	made	make	VERB
ejpam-6198	667	19	figs	fig	NOUN
ejpam-6198	667	20	9	9	NUM
ejpam-6198	667	21	and	and	CCONJ
ejpam-6198	667	22	10	10	NUM
ejpam-6198	667	23	.	.	PUNCT
ejpam-6198	668	1	in	in	ADP
ejpam-6198	668	2	these	these	DET
ejpam-6198	668	3	graphs	graph	NOUN
ejpam-6198	668	4	we	we	PRON
ejpam-6198	668	5	present	present	VERB
ejpam-6198	668	6	the	the	DET
ejpam-6198	668	7	four	four	NUM
ejpam-6198	668	8	fluids	fluid	NOUN
ejpam-6198	668	9	,	,	PUNCT
ejpam-6198	668	10	fractionalized	fractionalize	VERB
ejpam-6198	668	11	second	second	ADJ
ejpam-6198	668	12	grade	grade	NOUN
ejpam-6198	668	13	fluid	fluid	NOUN
ejpam-6198	668	14	(	(	PUNCT
ejpam-6198	668	15	given	give	VERB
ejpam-6198	668	16	by	by	ADP
ejpam-6198	668	17	eqs	eqs	PROPN
ejpam-6198	668	18	.	.	PUNCT
ejpam-6198	669	1	(	(	PUNCT
ejpam-6198	669	2	35	35	NUM
ejpam-6198	669	3	)	)	PUNCT
ejpam-6198	669	4	,	,	PUNCT
ejpam-6198	669	5	(	(	PUNCT
ejpam-6198	669	6	36	36	NUM
ejpam-6198	669	7	)	)	PUNCT
ejpam-6198	669	8	,	,	PUNCT
ejpam-6198	669	9	(	(	PUNCT
ejpam-6198	669	10	41	41	NUM
ejpam-6198	669	11	)	)	PUNCT
ejpam-6198	669	12	,	,	PUNCT
ejpam-6198	669	13	and	and	CCONJ
ejpam-6198	669	14	(	(	PUNCT
ejpam-6198	669	15	42	42	NUM
ejpam-6198	669	16	)	)	PUNCT
ejpam-6198	669	17	)	)	PUNCT
ejpam-6198	669	18	for	for	ADP
ejpam-6198	669	19	β	β	X
ejpam-6198	669	20	=	=	SYM
ejpam-6198	669	21	0.2	0.2	NUM
ejpam-6198	669	22	and	and	CCONJ
ejpam-6198	669	23	β	β	X
ejpam-6198	669	24	=	=	NOUN
ejpam-6198	669	25	0.7	0.7	NUM
ejpam-6198	669	26	,	,	PUNCT
ejpam-6198	669	27	second	second	ADJ
ejpam-6198	669	28	grade	grade	NOUN
ejpam-6198	669	29	(	(	PUNCT
ejpam-6198	669	30	obtained	obtain	VERB
ejpam-6198	669	31	from	from	ADP
ejpam-6198	669	32	eqs	eqs	PROPN
ejpam-6198	669	33	.	.	PUNCT
ejpam-6198	670	1	(	(	PUNCT
ejpam-6198	670	2	59	59	NUM
ejpam-6198	670	3	62	62	NUM
ejpam-6198	670	4	)	)	PUNCT
ejpam-6198	670	5	by	by	ADP
ejpam-6198	670	6	putting	put	VERB
ejpam-6198	670	7	β	β	PRON
ejpam-6198	670	8	→	→	SYM
ejpam-6198	670	9	1	1	NUM
ejpam-6198	670	10	)	)	PUNCT
ejpam-6198	671	1	and	and	CCONJ
ejpam-6198	671	2	newtonian	newtonian	ADJ
ejpam-6198	671	3	(	(	PUNCT
ejpam-6198	671	4	given	give	VERB
ejpam-6198	671	5	by	by	ADP
ejpam-6198	671	6	eqs	eqs	PROPN
ejpam-6198	671	7	.	.	PROPN
ejpam-6198	671	8	7174	7174	NUM
ejpam-6198	671	9	)	)	PUNCT
ejpam-6198	672	1	fluids	fluid	NOUN
ejpam-6198	672	2	with	with	ADP
ejpam-6198	672	3	respect	respect	NOUN
ejpam-6198	672	4	to	to	ADP
ejpam-6198	672	5	time	time	NOUN
ejpam-6198	672	6	t	t	NOUN
ejpam-6198	672	7	and	and	CCONJ
ejpam-6198	672	8	radial	radial	ADJ
ejpam-6198	672	9	parameter	parameter	NOUN
ejpam-6198	672	10	ρ	ρ	PROPN
ejpam-6198	672	11	.	.	PUNCT
ejpam-6198	673	1	quite	quite	DET
ejpam-6198	673	2	the	the	DET
ejpam-6198	673	3	opposite	opposite	ADJ
ejpam-6198	673	4	phenomenon	phenomenon	NOUN
ejpam-6198	673	5	is	be	AUX
ejpam-6198	673	6	observed	observe	VERB
ejpam-6198	673	7	in	in	ADP
ejpam-6198	673	8	figs	fig	NOUN
ejpam-6198	673	9	.	.	PUNCT
ejpam-6198	674	1	9	9	NUM
ejpam-6198	674	2	that	that	PRON
ejpam-6198	674	3	in	in	ADP
ejpam-6198	674	4	rotational	rotational	ADJ
ejpam-6198	674	5	quantities	quantity	NOUN
ejpam-6198	674	6	w(t	w(t	PROPN
ejpam-6198	674	7	)	)	PUNCT
ejpam-6198	674	8	,	,	PUNCT
ejpam-6198	674	9	sρθ	sρθ	VERB
ejpam-6198	674	10	the	the	DET
ejpam-6198	674	11	fractionalized	fractionalize	VERB
ejpam-6198	674	12	second	second	ADJ
ejpam-6198	674	13	grade	grade	NOUN
ejpam-6198	674	14	fluid	fluid	NOUN
ejpam-6198	674	15	for	for	ADP
ejpam-6198	674	16	β	β	X
ejpam-6198	674	17	=	=	SYM
ejpam-6198	674	18	0.2	0.2	NUM
ejpam-6198	674	19	have	have	VERB
ejpam-6198	674	20	the	the	DET
ejpam-6198	674	21	largest	large	ADJ
ejpam-6198	674	22	values	value	NOUN
ejpam-6198	674	23	and	and	CCONJ
ejpam-6198	674	24	newtonian	newtonian	ADJ
ejpam-6198	674	25	fluid	fluid	NOUN
ejpam-6198	674	26	has	have	AUX
ejpam-6198	674	27	least	least	ADJ
ejpam-6198	674	28	values	value	NOUN
ejpam-6198	674	29	.	.	PUNCT
ejpam-6198	675	1	in	in	ADP
ejpam-6198	675	2	spite	spite	NOUN
ejpam-6198	675	3	of	of	ADP
ejpam-6198	675	4	that	that	SCONJ
ejpam-6198	675	5	the	the	DET
ejpam-6198	675	6	translational	translational	ADJ
ejpam-6198	675	7	quantities	quantity	NOUN
ejpam-6198	675	8	v(t	v(t	NUM
ejpam-6198	675	9	)	)	PUNCT
ejpam-6198	675	10	,	,	PUNCT
ejpam-6198	675	11	sρz	sρz	VERB
ejpam-6198	675	12	have	have	VERB
ejpam-6198	675	13	quite	quite	ADV
ejpam-6198	675	14	contrary	contrary	ADJ
ejpam-6198	675	15	attitude	attitude	NOUN
ejpam-6198	675	16	in	in	ADP
ejpam-6198	675	17	comparison	comparison	NOUN
ejpam-6198	675	18	of	of	ADP
ejpam-6198	675	19	rotational	rotational	ADJ
ejpam-6198	675	20	quantities	quantity	NOUN
ejpam-6198	675	21	.	.	PUNCT
ejpam-6198	676	1	with	with	ADP
ejpam-6198	676	2	regard	regard	NOUN
ejpam-6198	676	3	to	to	ADP
ejpam-6198	676	4	radial	radial	ADJ
ejpam-6198	676	5	distance	distance	NOUN
ejpam-6198	676	6	as	as	SCONJ
ejpam-6198	676	7	shown	show	VERB
ejpam-6198	676	8	in	in	ADP
ejpam-6198	676	9	figs	fig	NOUN
ejpam-6198	676	10	.	.	PUNCT
ejpam-6198	677	1	10	10	NUM
ejpam-6198	677	2	,	,	PUNCT
ejpam-6198	677	3	it	it	PRON
ejpam-6198	677	4	is	be	AUX
ejpam-6198	677	5	observed	observe	VERB
ejpam-6198	677	6	that	that	SCONJ
ejpam-6198	677	7	fractionalized	fractionalize	VERB
ejpam-6198	677	8	second	second	ADJ
ejpam-6198	677	9	grade	grade	NOUN
ejpam-6198	677	10	fluid	fluid	NOUN
ejpam-6198	677	11	for	for	ADP
ejpam-6198	677	12	β	β	X
ejpam-6198	677	13	=	=	SYM
ejpam-6198	677	14	0.2	0.2	NUM
ejpam-6198	677	15	have	have	VERB
ejpam-6198	677	16	largest	large	ADJ
ejpam-6198	677	17	m.	m.	NOUN
ejpam-6198	677	18	zafarullah	zafarullah	PROPN
ejpam-6198	678	1	et	et	PROPN
ejpam-6198	678	2	al	al	PROPN
ejpam-6198	678	3	.	.	PUNCT
ejpam-6198	678	4	/	/	SYM
ejpam-6198	678	5	eur	eur	PROPN
ejpam-6198	678	6	.	.	PUNCT
ejpam-6198	679	1	j.	j.	PROPN
ejpam-6198	679	2	pure	pure	PROPN
ejpam-6198	679	3	appl	appl	PROPN
ejpam-6198	679	4	.	.	PROPN
ejpam-6198	679	5	math	math	PROPN
ejpam-6198	679	6	,	,	PUNCT
ejpam-6198	679	7	18	18	NUM
ejpam-6198	679	8	(	(	PUNCT
ejpam-6198	679	9	4	4	NUM
ejpam-6198	679	10	)	)	PUNCT
ejpam-6198	679	11	(	(	PUNCT
ejpam-6198	679	12	2025	2025	NUM
ejpam-6198	679	13	)	)	PUNCT
ejpam-6198	679	14	,	,	PUNCT
ejpam-6198	679	15	6198	6198	NUM
ejpam-6198	679	16	37	37	NUM
ejpam-6198	679	17	of	of	ADP
ejpam-6198	679	18	41	41	NUM
ejpam-6198	679	19	amplitude	amplitude	NOUN
ejpam-6198	679	20	and	and	CCONJ
ejpam-6198	679	21	newtonian	newtonian	ADJ
ejpam-6198	679	22	fluid	fluid	NOUN
ejpam-6198	679	23	has	have	AUX
ejpam-6198	679	24	smallest	small	ADJ
ejpam-6198	679	25	.	.	PUNCT
ejpam-6198	680	1	on	on	ADP
ejpam-6198	680	2	the	the	DET
ejpam-6198	680	3	other	other	ADJ
ejpam-6198	680	4	hand	hand	NOUN
ejpam-6198	680	5	,	,	PUNCT
ejpam-6198	680	6	the	the	DET
ejpam-6198	680	7	fractionalized	fractionalize	VERB
ejpam-6198	680	8	second	second	ADJ
ejpam-6198	680	9	grade	grade	NOUN
ejpam-6198	680	10	fluid	fluid	NOUN
ejpam-6198	680	11	for	for	ADP
ejpam-6198	680	12	β	β	X
ejpam-6198	680	13	=	=	SYM
ejpam-6198	680	14	0.7	0.7	NUM
ejpam-6198	680	15	and	and	CCONJ
ejpam-6198	680	16	second	second	ADJ
ejpam-6198	680	17	grade	grade	NOUN
ejpam-6198	680	18	fluid	fluid	NOUN
ejpam-6198	680	19	have	have	VERB
ejpam-6198	680	20	similar	similar	ADJ
ejpam-6198	680	21	behavior	behavior	NOUN
ejpam-6198	680	22	but	but	CCONJ
ejpam-6198	680	23	the	the	DET
ejpam-6198	680	24	second	second	ADJ
ejpam-6198	680	25	grade	grade	NOUN
ejpam-6198	680	26	fluid	fluid	NOUN
ejpam-6198	680	27	has	have	VERB
ejpam-6198	680	28	deeper	deep	ADJ
ejpam-6198	680	29	amplitude	amplitude	NOUN
ejpam-6198	680	30	.	.	PUNCT
ejpam-6198	681	1	all	all	DET
ejpam-6198	681	2	these	these	DET
ejpam-6198	681	3	pictures	picture	NOUN
ejpam-6198	681	4	are	be	AUX
ejpam-6198	681	5	depicted	depict	VERB
ejpam-6198	681	6	in	in	ADP
ejpam-6198	681	7	mathcad	mathcad	PROPN
ejpam-6198	681	8	software	software	PROPN
ejpam-6198	681	9	and	and	CCONJ
ejpam-6198	681	10	using	use	VERB
ejpam-6198	681	11	mks	mks	PROPN
ejpam-6198	681	12	units	unit	NOUN
ejpam-6198	681	13	system	system	NOUN
ejpam-6198	681	14	.	.	PUNCT
ejpam-6198	682	1	at	at	ADP
ejpam-6198	682	2	the	the	DET
ejpam-6198	682	3	end	end	NOUN
ejpam-6198	682	4	,	,	PUNCT
ejpam-6198	682	5	we	we	PRON
ejpam-6198	682	6	used	use	VERB
ejpam-6198	682	7	paint	paint	NOUN
ejpam-6198	682	8	software	software	NOUN
ejpam-6198	682	9	to	to	PART
ejpam-6198	682	10	bring	bring	VERB
ejpam-6198	682	11	graphs	graph	NOUN
ejpam-6198	682	12	in	in	ADP
ejpam-6198	682	13	good	good	ADJ
ejpam-6198	682	14	condition	condition	NOUN
ejpam-6198	682	15	.	.	PUNCT
ejpam-6198	683	1	7	7	X
ejpam-6198	683	2	.	.	X
ejpam-6198	683	3	conclusion	conclusion	NOUN
ejpam-6198	683	4	this	this	DET
ejpam-6198	683	5	research	research	NOUN
ejpam-6198	683	6	paper	paper	NOUN
ejpam-6198	683	7	deals	deal	NOUN
ejpam-6198	683	8	with	with	ADP
ejpam-6198	683	9	the	the	DET
ejpam-6198	683	10	application	application	NOUN
ejpam-6198	683	11	and	and	CCONJ
ejpam-6198	683	12	influence	influence	NOUN
ejpam-6198	683	13	of	of	ADP
ejpam-6198	683	14	the	the	DET
ejpam-6198	683	15	newly	newly	ADV
ejpam-6198	683	16	defined	define	VERB
ejpam-6198	683	17	fractional	fractional	ADJ
ejpam-6198	683	18	derivative	derivative	ADJ
ejpam-6198	683	19	atangana	atangana	PROPN
ejpam-6198	683	20	baleanu	baleanu	PROPN
ejpam-6198	683	21	caputo	caputo	PROPN
ejpam-6198	683	22	(	(	PUNCT
ejpam-6198	683	23	abc	abc	PROPN
ejpam-6198	683	24	)	)	PUNCT
ejpam-6198	683	25	on	on	ADP
ejpam-6198	683	26	the	the	DET
ejpam-6198	683	27	unsteady	unsteady	ADJ
ejpam-6198	683	28	helical	helical	ADJ
ejpam-6198	683	29	motion	motion	NOUN
ejpam-6198	683	30	of	of	ADP
ejpam-6198	683	31	second	second	ADJ
ejpam-6198	683	32	grade	grade	NOUN
ejpam-6198	683	33	fluid	fluid	NOUN
ejpam-6198	683	34	with	with	ADP
ejpam-6198	683	35	mhd	mhd	NOUN
ejpam-6198	683	36	effect	effect	NOUN
ejpam-6198	683	37	between	between	ADP
ejpam-6198	683	38	porous	porous	ADJ
ejpam-6198	683	39	annular	annular	ADJ
ejpam-6198	683	40	cylinders	cylinder	NOUN
ejpam-6198	683	41	.	.	PUNCT
ejpam-6198	684	1	in	in	ADP
ejpam-6198	684	2	this	this	DET
ejpam-6198	684	3	work	work	NOUN
ejpam-6198	684	4	after	after	ADP
ejpam-6198	684	5	using	use	VERB
ejpam-6198	684	6	a	a	DET
ejpam-6198	684	7	helical	helical	ADJ
ejpam-6198	684	8	model	model	NOUN
ejpam-6198	684	9	of	of	ADP
ejpam-6198	684	10	second	second	ADJ
ejpam-6198	684	11	grade	grade	NOUN
ejpam-6198	684	12	fluid	fluid	NOUN
ejpam-6198	684	13	,	,	PUNCT
ejpam-6198	684	14	we	we	PRON
ejpam-6198	684	15	introduced	introduce	VERB
ejpam-6198	684	16	the	the	DET
ejpam-6198	684	17	abc	abc	PROPN
ejpam-6198	684	18	fractional	fractional	PROPN
ejpam-6198	684	19	derivative	derivative	NOUN
ejpam-6198	684	20	to	to	ADP
ejpam-6198	684	21	the	the	DET
ejpam-6198	684	22	governing	govern	VERB
ejpam-6198	684	23	equations	equation	NOUN
ejpam-6198	684	24	,	,	PUNCT
ejpam-6198	684	25	and	and	CCONJ
ejpam-6198	684	26	analytical	analytical	ADJ
ejpam-6198	684	27	outcomes	outcome	NOUN
ejpam-6198	684	28	are	be	AUX
ejpam-6198	684	29	obtained	obtain	VERB
ejpam-6198	684	30	for	for	ADP
ejpam-6198	684	31	rotational	rotational	ADJ
ejpam-6198	684	32	and	and	CCONJ
ejpam-6198	684	33	translation	translation	NOUN
ejpam-6198	684	34	quantities	quantity	NOUN
ejpam-6198	684	35	in	in	ADP
ejpam-6198	684	36	porous	porous	ADJ
ejpam-6198	684	37	annular	annular	ADJ
ejpam-6198	684	38	region	region	NOUN
ejpam-6198	684	39	.	.	PUNCT
ejpam-6198	685	1	dual	dual	ADJ
ejpam-6198	685	2	integral	integral	ADJ
ejpam-6198	685	3	transformations	transformation	NOUN
ejpam-6198	685	4	including	include	VERB
ejpam-6198	685	5	laplace	laplace	NOUN
ejpam-6198	685	6	and	and	CCONJ
ejpam-6198	685	7	hankel	hankel	NOUN
ejpam-6198	685	8	are	be	AUX
ejpam-6198	685	9	used	use	VERB
ejpam-6198	685	10	to	to	PART
ejpam-6198	685	11	eliminate	eliminate	VERB
ejpam-6198	685	12	the	the	DET
ejpam-6198	685	13	partial	partial	ADJ
ejpam-6198	685	14	derivatives	derivative	NOUN
ejpam-6198	685	15	and	and	CCONJ
ejpam-6198	685	16	then	then	ADV
ejpam-6198	685	17	the	the	DET
ejpam-6198	685	18	resulting	result	VERB
ejpam-6198	685	19	algebraic	algebraic	ADJ
ejpam-6198	685	20	expression	expression	NOUN
ejpam-6198	685	21	will	will	AUX
ejpam-6198	685	22	be	be	AUX
ejpam-6198	685	23	solved	solve	VERB
ejpam-6198	685	24	by	by	ADP
ejpam-6198	685	25	inverse	inverse	ADJ
ejpam-6198	685	26	transformations	transformation	NOUN
ejpam-6198	685	27	in	in	ADP
ejpam-6198	685	28	the	the	DET
ejpam-6198	685	29	form	form	NOUN
ejpam-6198	685	30	of	of	ADP
ejpam-6198	685	31	series	series	NOUN
ejpam-6198	685	32	,	,	PUNCT
ejpam-6198	685	33	integral	integral	ADJ
ejpam-6198	685	34	,	,	PUNCT
ejpam-6198	685	35	convolution	convolution	NOUN
ejpam-6198	685	36	product	product	NOUN
ejpam-6198	685	37	,	,	PUNCT
ejpam-6198	685	38	and	and	CCONJ
ejpam-6198	685	39	generalized	generalized	ADJ
ejpam-6198	685	40	functions	function	NOUN
ejpam-6198	685	41	.	.	PUNCT
ejpam-6198	686	1	these	these	DET
ejpam-6198	686	2	outcomes	outcome	NOUN
ejpam-6198	686	3	satisfy	satisfy	VERB
ejpam-6198	686	4	all	all	DET
ejpam-6198	686	5	restrictions	restriction	NOUN
ejpam-6198	686	6	and	and	CCONJ
ejpam-6198	686	7	give	give	VERB
ejpam-6198	686	8	many	many	ADJ
ejpam-6198	686	9	particular	particular	ADJ
ejpam-6198	686	10	solutions	solution	NOUN
ejpam-6198	686	11	of	of	ADP
ejpam-6198	686	12	second	second	ADJ
ejpam-6198	686	13	grade	grade	NOUN
ejpam-6198	686	14	and	and	CCONJ
ejpam-6198	686	15	newtonian	newtonian	ADJ
ejpam-6198	686	16	fluid	fluid	NOUN
ejpam-6198	686	17	with	with	ADP
ejpam-6198	686	18	/	/	SYM
ejpam-6198	686	19	without	without	ADP
ejpam-6198	686	20	mhd	mhd	NOUN
ejpam-6198	686	21	and	and	CCONJ
ejpam-6198	686	22	porous	porous	ADJ
ejpam-6198	686	23	attachment	attachment	NOUN
ejpam-6198	686	24	.	.	PUNCT
ejpam-6198	687	1	some	some	PRON
ejpam-6198	687	2	of	of	ADP
ejpam-6198	687	3	our	our	PRON
ejpam-6198	687	4	special	special	ADJ
ejpam-6198	687	5	solutions	solution	NOUN
ejpam-6198	687	6	coincide	coincide	NOUN
ejpam-6198	687	7	with	with	ADP
ejpam-6198	687	8	previous	previous	ADJ
ejpam-6198	687	9	solutions	solution	NOUN
ejpam-6198	687	10	,	,	PUNCT
ejpam-6198	687	11	which	which	PRON
ejpam-6198	687	12	prove	prove	VERB
ejpam-6198	687	13	the	the	DET
ejpam-6198	687	14	correctness	correctness	NOUN
ejpam-6198	687	15	of	of	ADP
ejpam-6198	687	16	our	our	PRON
ejpam-6198	687	17	results	result	NOUN
ejpam-6198	687	18	.	.	PUNCT
ejpam-6198	688	1	the	the	DET
ejpam-6198	688	2	major	major	ADJ
ejpam-6198	688	3	novel	novel	ADJ
ejpam-6198	688	4	findings	finding	NOUN
ejpam-6198	688	5	of	of	ADP
ejpam-6198	688	6	the	the	DET
ejpam-6198	688	7	present	present	ADJ
ejpam-6198	688	8	work	work	NOUN
ejpam-6198	688	9	are	be	AUX
ejpam-6198	688	10	:	:	PUNCT
ejpam-6198	688	11	the	the	DET
ejpam-6198	688	12	abc	abc	PROPN
ejpam-6198	688	13	fractional	fractional	PROPN
ejpam-6198	688	14	derivative	derivative	NOUN
ejpam-6198	688	15	is	be	AUX
ejpam-6198	688	16	used	use	VERB
ejpam-6198	688	17	in	in	ADP
ejpam-6198	688	18	the	the	DET
ejpam-6198	688	19	helical	helical	ADJ
ejpam-6198	688	20	motion	motion	NOUN
ejpam-6198	688	21	of	of	ADP
ejpam-6198	688	22	second	second	ADJ
ejpam-6198	688	23	grade	grade	NOUN
ejpam-6198	688	24	and	and	CCONJ
ejpam-6198	688	25	newtonian	newtonian	ADJ
ejpam-6198	688	26	fluids	fluid	NOUN
ejpam-6198	688	27	.	.	PUNCT
ejpam-6198	689	1	introducing	introduce	VERB
ejpam-6198	689	2	the	the	DET
ejpam-6198	689	3	generalized	generalized	ADJ
ejpam-6198	689	4	m	m	PROPN
ejpam-6198	689	5	functions	function	NOUN
ejpam-6198	689	6	,	,	PUNCT
ejpam-6198	689	7	which	which	PRON
ejpam-6198	689	8	are	be	AUX
ejpam-6198	689	9	natural	natural	ADJ
ejpam-6198	689	10	for	for	ADP
ejpam-6198	689	11	such	such	ADJ
ejpam-6198	689	12	types	type	NOUN
ejpam-6198	689	13	of	of	ADP
ejpam-6198	689	14	calculations	calculation	NOUN
ejpam-6198	689	15	.	.	PUNCT
ejpam-6198	690	1	the	the	DET
ejpam-6198	690	2	fluid	fluid	ADJ
ejpam-6198	690	3	motion	motion	NOUN
ejpam-6198	690	4	is	be	AUX
ejpam-6198	690	5	a	a	DET
ejpam-6198	690	6	decreasing	decrease	VERB
ejpam-6198	690	7	function	function	NOUN
ejpam-6198	690	8	of	of	ADP
ejpam-6198	690	9	the	the	DET
ejpam-6198	690	10	material	material	NOUN
ejpam-6198	690	11	parameter	parameter	NOUN
ejpam-6198	690	12	α	α	PROPN
ejpam-6198	690	13	and	and	CCONJ
ejpam-6198	690	14	kinematic	kinematic	ADJ
ejpam-6198	690	15	viscosity	viscosity	NOUN
ejpam-6198	690	16	ν	ν	NOUN
ejpam-6198	690	17	.	.	PUNCT
ejpam-6198	691	1	the	the	DET
ejpam-6198	691	2	magnetic	magnetic	ADJ
ejpam-6198	691	3	and	and	CCONJ
ejpam-6198	691	4	porous	porous	ADJ
ejpam-6198	691	5	parameters	parameter	NOUN
ejpam-6198	691	6	gm	gm	PROPN
ejpam-6198	691	7	and	and	CCONJ
ejpam-6198	691	8	gp	gp	VERB
ejpam-6198	691	9	respectively	respectively	ADV
ejpam-6198	691	10	,	,	PUNCT
ejpam-6198	691	11	have	have	VERB
ejpam-6198	691	12	almost	almost	ADV
ejpam-6198	691	13	contrary	contrary	ADJ
ejpam-6198	691	14	impacts	impact	NOUN
ejpam-6198	691	15	on	on	ADP
ejpam-6198	691	16	the	the	DET
ejpam-6198	691	17	fluid	fluid	ADJ
ejpam-6198	691	18	vibration	vibration	NOUN
ejpam-6198	691	19	.	.	PUNCT
ejpam-6198	692	1	the	the	DET
ejpam-6198	692	2	fractional	fractional	ADJ
ejpam-6198	692	3	parameter	parameter	NOUN
ejpam-6198	692	4	β	β	PROPN
ejpam-6198	692	5	has	have	VERB
ejpam-6198	692	6	opposite	opposite	ADJ
ejpam-6198	692	7	influence	influence	NOUN
ejpam-6198	692	8	on	on	ADP
ejpam-6198	692	9	velocity	velocity	NOUN
ejpam-6198	692	10	field	field	NOUN
ejpam-6198	692	11	and	and	CCONJ
ejpam-6198	692	12	shear	shear	NOUN
ejpam-6198	692	13	stress	stress	NOUN
ejpam-6198	692	14	portraits	portrait	NOUN
ejpam-6198	692	15	.	.	PUNCT
ejpam-6198	693	1	with	with	ADP
ejpam-6198	693	2	respect	respect	NOUN
ejpam-6198	693	3	to	to	ADP
ejpam-6198	693	4	time	time	NOUN
ejpam-6198	693	5	t	t	PROPN
ejpam-6198	693	6	,	,	PUNCT
ejpam-6198	693	7	the	the	DET
ejpam-6198	693	8	rotational	rotational	ADJ
ejpam-6198	693	9	quantities	quantity	NOUN
ejpam-6198	693	10	have	have	VERB
ejpam-6198	693	11	large	large	ADJ
ejpam-6198	693	12	values	value	NOUN
ejpam-6198	693	13	of	of	ADP
ejpam-6198	693	14	fractionalized	fractionalize	VERB
ejpam-6198	693	15	second	second	ADJ
ejpam-6198	693	16	grade	grade	NOUN
ejpam-6198	693	17	fluid	fluid	NOUN
ejpam-6198	693	18	for	for	ADP
ejpam-6198	693	19	β	β	X
ejpam-6198	693	20	=	=	SYM
ejpam-6198	693	21	0.2	0.2	NUM
ejpam-6198	693	22	and	and	CCONJ
ejpam-6198	693	23	newtonian	newtonian	NOUN
ejpam-6198	693	24	has	have	AUX
ejpam-6198	693	25	least	least	ADJ
ejpam-6198	693	26	.	.	PUNCT
ejpam-6198	694	1	with	with	ADP
ejpam-6198	694	2	respect	respect	NOUN
ejpam-6198	694	3	to	to	ADP
ejpam-6198	694	4	radial	radial	ADJ
ejpam-6198	694	5	distance	distance	NOUN
ejpam-6198	694	6	ρ	ρ	NOUN
ejpam-6198	694	7	the	the	DET
ejpam-6198	694	8	fractionalized	fractionalize	VERB
ejpam-6198	694	9	second	second	ADJ
ejpam-6198	694	10	grade	grade	NOUN
ejpam-6198	694	11	fluid	fluid	NOUN
ejpam-6198	694	12	for	for	ADP
ejpam-6198	694	13	β	β	X
ejpam-6198	694	14	=	=	SYM
ejpam-6198	694	15	0.2	0.2	NUM
ejpam-6198	694	16	and	and	CCONJ
ejpam-6198	694	17	newtonian	newtonian	ADJ
ejpam-6198	694	18	fluids	fluid	NOUN
ejpam-6198	694	19	have	have	VERB
ejpam-6198	694	20	respectively	respectively	ADV
ejpam-6198	694	21	maximum	maximum	ADJ
ejpam-6198	694	22	and	and	CCONJ
ejpam-6198	694	23	minimum	minimum	ADJ
ejpam-6198	694	24	oscillations	oscillation	NOUN
ejpam-6198	694	25	.	.	PUNCT
ejpam-6198	695	1	8	8	X
ejpam-6198	695	2	.	.	PUNCT
ejpam-6198	695	3	future	future	ADJ
ejpam-6198	695	4	recommendation	recommendation	NOUN
ejpam-6198	695	5	this	this	DET
ejpam-6198	695	6	research	research	NOUN
ejpam-6198	695	7	work	work	NOUN
ejpam-6198	695	8	can	can	AUX
ejpam-6198	695	9	be	be	AUX
ejpam-6198	695	10	extendable	extendable	ADJ
ejpam-6198	695	11	to	to	ADP
ejpam-6198	695	12	the	the	DET
ejpam-6198	695	13	other	other	ADJ
ejpam-6198	695	14	non	non	ADJ
ejpam-6198	695	15	-	-	ADJ
ejpam-6198	695	16	newtonian	newtonian	ADJ
ejpam-6198	695	17	fluid	fluid	NOUN
ejpam-6198	695	18	such	such	ADJ
ejpam-6198	695	19	as	as	ADP
ejpam-6198	695	20	maxwell	maxwell	PROPN
ejpam-6198	695	21	fluid	fluid	NOUN
ejpam-6198	695	22	,	,	PUNCT
ejpam-6198	695	23	burgers	burger	NOUN
ejpam-6198	695	24	material	material	NOUN
ejpam-6198	695	25	,	,	PUNCT
ejpam-6198	695	26	oldroyd	oldroyd	VERB
ejpam-6198	695	27	-	-	PUNCT
ejpam-6198	695	28	b	b	NOUN
ejpam-6198	695	29	model	model	NOUN
ejpam-6198	695	30	by	by	ADP
ejpam-6198	695	31	considering	consider	VERB
ejpam-6198	695	32	various	various	ADJ
ejpam-6198	695	33	geometrical	geometrical	ADJ
ejpam-6198	695	34	configuration	configuration	NOUN
ejpam-6198	695	35	like	like	ADP
ejpam-6198	695	36	helical	helical	ADJ
ejpam-6198	695	37	flow	flow	NOUN
ejpam-6198	695	38	or	or	CCONJ
ejpam-6198	695	39	flow	flow	NOUN
ejpam-6198	695	40	in	in	ADP
ejpam-6198	695	41	channel	channel	NOUN
ejpam-6198	695	42	along	along	ADP
ejpam-6198	695	43	with	with	ADP
ejpam-6198	695	44	some	some	DET
ejpam-6198	695	45	additional	additional	ADJ
ejpam-6198	695	46	effects	effect	NOUN
ejpam-6198	695	47	through	through	ADP
ejpam-6198	695	48	atangana	atangana	PROPN
ejpam-6198	695	49	baleanu	baleanu	PROPN
ejpam-6198	695	50	caputo	caputo	PROPN
ejpam-6198	695	51	(	(	PUNCT
ejpam-6198	695	52	abc	abc	PROPN
ejpam-6198	695	53	)	)	PUNCT
ejpam-6198	695	54	fractional	fractional	ADJ
ejpam-6198	695	55	operator	operator	NOUN
ejpam-6198	695	56	.	.	PUNCT
ejpam-6198	696	1	the	the	DET
ejpam-6198	696	2	outcome	outcome	NOUN
ejpam-6198	696	3	can	can	AUX
ejpam-6198	696	4	be	be	AUX
ejpam-6198	696	5	obtained	obtain	VERB
ejpam-6198	696	6	in	in	ADP
ejpam-6198	696	7	terms	term	NOUN
ejpam-6198	696	8	of	of	ADP
ejpam-6198	696	9	a	a	DET
ejpam-6198	696	10	series	series	NOUN
ejpam-6198	696	11	of	of	ADP
ejpam-6198	696	12	trigonometric	trigonometric	NOUN
ejpam-6198	696	13	or	or	CCONJ
ejpam-6198	696	14	any	any	DET
ejpam-6198	696	15	other	other	ADJ
ejpam-6198	696	16	generalized	generalized	ADJ
ejpam-6198	696	17	wright	wright	PROPN
ejpam-6198	696	18	functions	function	NOUN
ejpam-6198	696	19	.	.	PUNCT
ejpam-6198	697	1	m.	m.	NOUN
ejpam-6198	697	2	zafarullah	zafarullah	PROPN
ejpam-6198	697	3	et	et	PROPN
ejpam-6198	697	4	al	al	PROPN
ejpam-6198	697	5	.	.	PUNCT
ejpam-6198	697	6	/	/	SYM
ejpam-6198	697	7	eur	eur	PROPN
ejpam-6198	697	8	.	.	PUNCT
ejpam-6198	698	1	j.	j.	PROPN
ejpam-6198	698	2	pure	pure	PROPN
ejpam-6198	698	3	appl	appl	PROPN
ejpam-6198	698	4	.	.	PROPN
ejpam-6198	698	5	math	math	PROPN
ejpam-6198	698	6	,	,	PUNCT
ejpam-6198	698	7	18	18	NUM
ejpam-6198	698	8	(	(	PUNCT
ejpam-6198	698	9	4	4	NUM
ejpam-6198	698	10	)	)	PUNCT
ejpam-6198	698	11	(	(	PUNCT
ejpam-6198	698	12	2025	2025	NUM
ejpam-6198	698	13	)	)	PUNCT
ejpam-6198	698	14	,	,	PUNCT
ejpam-6198	698	15	6198	6198	NUM
ejpam-6198	698	16	38	38	NUM
ejpam-6198	698	17	of	of	ADP
ejpam-6198	698	18	41	41	NUM
ejpam-6198	698	19	acknowledgements	acknowledgement	NOUN
ejpam-6198	698	20	the	the	DET
ejpam-6198	698	21	author	author	NOUN
ejpam-6198	698	22	a.	a.	PROPN
ejpam-6198	698	23	b.	b.	PROPN
ejpam-6198	698	24	albidah	albidah	PROPN
ejpam-6198	698	25	extends	extend	VERB
ejpam-6198	698	26	the	the	DET
ejpam-6198	698	27	appreciation	appreciation	NOUN
ejpam-6198	698	28	to	to	ADP
ejpam-6198	698	29	the	the	DET
ejpam-6198	698	30	deanship	deanship	NOUN
ejpam-6198	698	31	of	of	ADP
ejpam-6198	698	32	postgraduate	postgraduate	NOUN
ejpam-6198	698	33	studies	study	NOUN
ejpam-6198	698	34	and	and	CCONJ
ejpam-6198	698	35	scientific	scientific	ADJ
ejpam-6198	698	36	research	research	NOUN
ejpam-6198	698	37	at	at	ADP
ejpam-6198	698	38	majmaah	majmaah	PROPN
ejpam-6198	698	39	university	university	PROPN
ejpam-6198	698	40	for	for	ADP
ejpam-6198	698	41	funding	fund	VERB
ejpam-6198	698	42	this	this	DET
ejpam-6198	698	43	research	research	NOUN
ejpam-6198	698	44	work	work	NOUN
ejpam-6198	698	45	through	through	ADP
ejpam-6198	698	46	the	the	DET
ejpam-6198	698	47	project	project	NOUN
ejpam-6198	698	48	number	number	NOUN
ejpam-6198	698	49	(	(	PUNCT
ejpam-6198	698	50	r-2025	r-2025	NOUN
ejpam-6198	698	51	-	-	PUNCT
ejpam-6198	698	52	1726	1726	NUM
ejpam-6198	698	53	)	)	PUNCT
ejpam-6198	698	54	.	.	PUNCT
ejpam-6198	699	1	references	reference	NOUN
ejpam-6198	699	2	[	[	X
ejpam-6198	699	3	1	1	NUM
ejpam-6198	699	4	]	]	PUNCT
ejpam-6198	699	5	l.	l.	PROPN
ejpam-6198	699	6	debnath	debnath	PROPN
ejpam-6198	699	7	.	.	PUNCT
ejpam-6198	700	1	a	a	DET
ejpam-6198	700	2	brief	brief	ADJ
ejpam-6198	700	3	historical	historical	ADJ
ejpam-6198	700	4	introduction	introduction	NOUN
ejpam-6198	700	5	to	to	ADP
ejpam-6198	700	6	fractional	fractional	ADJ
ejpam-6198	700	7	calculus	calculus	NOUN
ejpam-6198	700	8	.	.	PUNCT
ejpam-6198	701	1	international	international	ADJ
ejpam-6198	701	2	journal	journal	PROPN
ejpam-6198	701	3	of	of	ADP
ejpam-6198	701	4	mathematical	mathematical	ADJ
ejpam-6198	701	5	education	education	NOUN
ejpam-6198	701	6	in	in	ADP
ejpam-6198	701	7	science	science	NOUN
ejpam-6198	701	8	and	and	CCONJ
ejpam-6198	701	9	technology	technology	NOUN
ejpam-6198	701	10	,	,	PUNCT
ejpam-6198	701	11	35(4):487–501	35(4):487–501	NUM
ejpam-6198	701	12	,	,	PUNCT
ejpam-6198	701	13	2004	2004	NUM
ejpam-6198	701	14	.	.	PUNCT
ejpam-6198	702	1	[	[	X
ejpam-6198	702	2	2	2	X
ejpam-6198	702	3	]	]	PUNCT
ejpam-6198	702	4	j.	j.	PROPN
ejpam-6198	702	5	t.	t.	PROPN
ejpam-6198	702	6	machado	machado	PROPN
ejpam-6198	702	7	,	,	PUNCT
ejpam-6198	702	8	v.	v.	PROPN
ejpam-6198	702	9	kiryakova	kiryakova	X
ejpam-6198	702	10	,	,	PUNCT
ejpam-6198	702	11	and	and	CCONJ
ejpam-6198	702	12	f.	f.	PROPN
ejpam-6198	702	13	mainardi	mainardi	PROPN
ejpam-6198	702	14	.	.	PUNCT
ejpam-6198	703	1	recent	recent	ADJ
ejpam-6198	703	2	history	history	NOUN
ejpam-6198	703	3	of	of	ADP
ejpam-6198	703	4	fractional	fractional	ADJ
ejpam-6198	703	5	calculus	calculus	NOUN
ejpam-6198	703	6	.	.	PUNCT
ejpam-6198	704	1	communications	communication	NOUN
ejpam-6198	704	2	in	in	ADP
ejpam-6198	704	3	nonlinear	nonlinear	ADJ
ejpam-6198	704	4	science	science	NOUN
ejpam-6198	704	5	and	and	CCONJ
ejpam-6198	704	6	numerical	numerical	PROPN
ejpam-6198	704	7	simulation	simulation	PROPN
ejpam-6198	704	8	,	,	PUNCT
ejpam-6198	704	9	16(3):1140–1153	16(3):1140–1153	NUM
ejpam-6198	704	10	,	,	PUNCT
ejpam-6198	704	11	2011	2011	NUM
ejpam-6198	704	12	.	.	PUNCT
ejpam-6198	705	1	[	[	X
ejpam-6198	705	2	3	3	X
ejpam-6198	705	3	]	]	X
ejpam-6198	705	4	h.	h.	PROPN
ejpam-6198	705	5	sun	sun	PROPN
ejpam-6198	705	6	,	,	PUNCT
ejpam-6198	705	7	y.	y.	PROPN
ejpam-6198	705	8	zhang	zhang	PROPN
ejpam-6198	705	9	,	,	PUNCT
ejpam-6198	705	10	d.	d.	PROPN
ejpam-6198	705	11	baleanu	baleanu	PROPN
ejpam-6198	705	12	,	,	PUNCT
ejpam-6198	705	13	w.	w.	PROPN
ejpam-6198	705	14	chen	chen	PROPN
ejpam-6198	705	15	,	,	PUNCT
ejpam-6198	705	16	and	and	CCONJ
ejpam-6198	705	17	y.	y.	PROPN
ejpam-6198	705	18	chen	chen	PROPN
ejpam-6198	705	19	.	.	PUNCT
ejpam-6198	706	1	a	a	DET
ejpam-6198	706	2	new	new	ADJ
ejpam-6198	706	3	collection	collection	NOUN
ejpam-6198	706	4	of	of	ADP
ejpam-6198	706	5	real	real	ADJ
ejpam-6198	706	6	world	world	NOUN
ejpam-6198	706	7	applications	application	NOUN
ejpam-6198	706	8	of	of	ADP
ejpam-6198	706	9	fractional	fractional	ADJ
ejpam-6198	706	10	calculus	calculus	NOUN
ejpam-6198	706	11	in	in	ADP
ejpam-6198	706	12	science	science	NOUN
ejpam-6198	706	13	and	and	CCONJ
ejpam-6198	706	14	engineering	engineering	NOUN
ejpam-6198	706	15	.	.	PUNCT
ejpam-6198	707	1	communications	communication	NOUN
ejpam-6198	707	2	in	in	ADP
ejpam-6198	707	3	nonlinear	nonlinear	ADJ
ejpam-6198	707	4	science	science	NOUN
ejpam-6198	707	5	and	and	CCONJ
ejpam-6198	707	6	numerical	numerical	PROPN
ejpam-6198	707	7	simulation	simulation	PROPN
ejpam-6198	707	8	,	,	PUNCT
ejpam-6198	707	9	64:213–231	64:213–231	NUM
ejpam-6198	707	10	,	,	PUNCT
ejpam-6198	707	11	2018	2018	NUM
ejpam-6198	707	12	.	.	PUNCT
ejpam-6198	708	1	[	[	X
ejpam-6198	708	2	4	4	X
ejpam-6198	708	3	]	]	PUNCT
ejpam-6198	708	4	b.	b.	PROPN
ejpam-6198	708	5	ross	ross	PROPN
ejpam-6198	708	6	.	.	PUNCT
ejpam-6198	709	1	the	the	DET
ejpam-6198	709	2	development	development	NOUN
ejpam-6198	709	3	of	of	ADP
ejpam-6198	709	4	fractional	fractional	ADJ
ejpam-6198	709	5	calculus	calculus	NOUN
ejpam-6198	709	6	1695–1900	1695–1900	NUM
ejpam-6198	709	7	.	.	PUNCT
ejpam-6198	710	1	historia	historia	PROPN
ejpam-6198	710	2	mathematica	mathematica	PROPN
ejpam-6198	710	3	,	,	PUNCT
ejpam-6198	710	4	4(1):75–89	4(1):75–89	NUM
ejpam-6198	710	5	,	,	PUNCT
ejpam-6198	710	6	1977	1977	NUM
ejpam-6198	710	7	.	.	PUNCT
ejpam-6198	711	1	[	[	X
ejpam-6198	711	2	5	5	NUM
ejpam-6198	711	3	]	]	PUNCT
ejpam-6198	711	4	i.	i.	NOUN
ejpam-6198	711	5	podlubny	podlubny	PROPN
ejpam-6198	711	6	,	,	PUNCT
ejpam-6198	711	7	r.	r.	PROPN
ejpam-6198	711	8	magin	magin	PROPN
ejpam-6198	711	9	,	,	PUNCT
ejpam-6198	711	10	and	and	CCONJ
ejpam-6198	711	11	i.	i.	PROPN
ejpam-6198	711	12	trymorush	trymorush	PROPN
ejpam-6198	711	13	.	.	PUNCT
ejpam-6198	712	1	niels	niels	PROPN
ejpam-6198	712	2	henrik	henrik	PROPN
ejpam-6198	712	3	abel	abel	PROPN
ejpam-6198	712	4	and	and	CCONJ
ejpam-6198	712	5	the	the	DET
ejpam-6198	712	6	birth	birth	NOUN
ejpam-6198	712	7	of	of	ADP
ejpam-6198	712	8	fractional	fractional	ADJ
ejpam-6198	712	9	calculus	calculus	NOUN
ejpam-6198	712	10	.	.	PUNCT
ejpam-6198	713	1	fractional	fractional	ADJ
ejpam-6198	713	2	calculus	calculus	NOUN
ejpam-6198	713	3	and	and	CCONJ
ejpam-6198	713	4	applied	apply	VERB
ejpam-6198	713	5	analysis	analysis	NOUN
ejpam-6198	713	6	,	,	PUNCT
ejpam-6198	713	7	20(5):1068–1075	20(5):1068–1075	NUM
ejpam-6198	713	8	,	,	PUNCT
ejpam-6198	713	9	2017	2017	NUM
ejpam-6198	713	10	.	.	PUNCT
ejpam-6198	714	1	[	[	X
ejpam-6198	714	2	6	6	NUM
ejpam-6198	714	3	]	]	PUNCT
ejpam-6198	714	4	j.	j.	PROPN
ejpam-6198	714	5	a.	a.	PROPN
ejpam-6198	714	6	t.	t.	PROPN
ejpam-6198	714	7	machado	machado	PROPN
ejpam-6198	714	8	,	,	PUNCT
ejpam-6198	714	9	a.	a.	NOUN
ejpam-6198	714	10	m.	m.	NOUN
ejpam-6198	714	11	galhano	galhano	PROPN
ejpam-6198	714	12	,	,	PUNCT
ejpam-6198	714	13	and	and	CCONJ
ejpam-6198	714	14	j.	j.	PROPN
ejpam-6198	714	15	j.	j.	PROPN
ejpam-6198	714	16	trujillo	trujillo	PROPN
ejpam-6198	714	17	.	.	PUNCT
ejpam-6198	715	1	on	on	ADP
ejpam-6198	715	2	development	development	NOUN
ejpam-6198	715	3	of	of	ADP
ejpam-6198	715	4	fractional	fractional	ADJ
ejpam-6198	715	5	calculus	calculus	NOUN
ejpam-6198	715	6	during	during	ADP
ejpam-6198	715	7	the	the	DET
ejpam-6198	715	8	last	last	ADJ
ejpam-6198	715	9	fifty	fifty	NUM
ejpam-6198	715	10	years	year	NOUN
ejpam-6198	715	11	.	.	PUNCT
ejpam-6198	716	1	scientometrics	scientometric	NOUN
ejpam-6198	716	2	,	,	PUNCT
ejpam-6198	716	3	98:577–582	98:577–582	NUM
ejpam-6198	716	4	,	,	PUNCT
ejpam-6198	716	5	2014	2014	NUM
ejpam-6198	716	6	.	.	PUNCT
ejpam-6198	717	1	[	[	X
ejpam-6198	717	2	7	7	X
ejpam-6198	717	3	]	]	X
ejpam-6198	717	4	m.	m.	NOUN
ejpam-6198	717	5	caputo	caputo	PROPN
ejpam-6198	717	6	and	and	CCONJ
ejpam-6198	717	7	m.	m.	PROPN
ejpam-6198	717	8	fabrizio	fabrizio	PROPN
ejpam-6198	717	9	.	.	PUNCT
ejpam-6198	718	1	a	a	DET
ejpam-6198	718	2	new	new	ADJ
ejpam-6198	718	3	definition	definition	NOUN
ejpam-6198	718	4	of	of	ADP
ejpam-6198	718	5	fractional	fractional	ADJ
ejpam-6198	718	6	derivative	derivative	NOUN
ejpam-6198	718	7	without	without	ADP
ejpam-6198	718	8	singular	singular	ADJ
ejpam-6198	718	9	kernel	kernel	PROPN
ejpam-6198	718	10	.	.	PUNCT
ejpam-6198	719	1	progress	progress	NOUN
ejpam-6198	719	2	in	in	ADP
ejpam-6198	719	3	fractional	fractional	ADJ
ejpam-6198	719	4	differentiation	differentiation	NOUN
ejpam-6198	719	5	&	&	CCONJ
ejpam-6198	719	6	applications	application	NOUN
ejpam-6198	719	7	,	,	PUNCT
ejpam-6198	719	8	1(2):73–85	1(2):73–85	NUM
ejpam-6198	719	9	,	,	PUNCT
ejpam-6198	719	10	2015	2015	NUM
ejpam-6198	719	11	.	.	PUNCT
ejpam-6198	720	1	[	[	X
ejpam-6198	720	2	8	8	NUM
ejpam-6198	720	3	]	]	PUNCT
ejpam-6198	720	4	a.	a.	NOUN
ejpam-6198	720	5	atangana	atangana	PROPN
ejpam-6198	720	6	and	and	CCONJ
ejpam-6198	720	7	d.	d.	PROPN
ejpam-6198	720	8	baleanu	baleanu	PROPN
ejpam-6198	720	9	.	.	PUNCT
ejpam-6198	721	1	new	new	ADJ
ejpam-6198	721	2	fractional	fractional	ADJ
ejpam-6198	721	3	derivatives	derivative	NOUN
ejpam-6198	721	4	with	with	ADP
ejpam-6198	721	5	nonlocal	nonlocal	ADJ
ejpam-6198	721	6	and	and	CCONJ
ejpam-6198	721	7	nonsingular	nonsingular	ADJ
ejpam-6198	721	8	kernel	kernel	PROPN
ejpam-6198	721	9	:	:	PUNCT
ejpam-6198	721	10	theory	theory	NOUN
ejpam-6198	721	11	and	and	CCONJ
ejpam-6198	721	12	application	application	NOUN
ejpam-6198	721	13	to	to	PART
ejpam-6198	721	14	heat	heat	NOUN
ejpam-6198	721	15	transfer	transfer	NOUN
ejpam-6198	721	16	model	model	NOUN
ejpam-6198	721	17	,	,	PUNCT
ejpam-6198	721	18	2016	2016	NUM
ejpam-6198	721	19	.	.	PUNCT
ejpam-6198	722	1	arxiv	arxiv	PROPN
ejpam-6198	722	2	preprint	preprint	VERB
ejpam-6198	722	3	arxiv:1602.03408	arxiv:1602.03408	ADV
ejpam-6198	722	4	.	.	PUNCT
ejpam-6198	723	1	[	[	X
ejpam-6198	723	2	9	9	NUM
ejpam-6198	723	3	]	]	PUNCT
ejpam-6198	723	4	p.	p.	NOUN
ejpam-6198	723	5	kumam	kumam	PROPN
ejpam-6198	723	6	,	,	PUNCT
ejpam-6198	723	7	t.	t.	PROPN
ejpam-6198	723	8	anwar	anwar	PROPN
ejpam-6198	723	9	,	,	PUNCT
ejpam-6198	723	10	w.	w.	PROPN
ejpam-6198	723	11	watthayu	watthayu	PROPN
ejpam-6198	723	12	,	,	PUNCT
ejpam-6198	723	13	z.	z.	PROPN
ejpam-6198	723	14	shah	shah	PROPN
ejpam-6198	723	15	,	,	PUNCT
ejpam-6198	723	16	et	et	PROPN
ejpam-6198	723	17	al	al	PROPN
ejpam-6198	723	18	.	.	PROPN
ejpam-6198	723	19	double	double	ADJ
ejpam-6198	723	20	slip	slip	NOUN
ejpam-6198	723	21	effects	effect	NOUN
ejpam-6198	723	22	and	and	CCONJ
ejpam-6198	723	23	heat	heat	NOUN
ejpam-6198	723	24	transfer	transfer	NOUN
ejpam-6198	723	25	characteristics	characteristic	NOUN
ejpam-6198	723	26	for	for	ADP
ejpam-6198	723	27	channel	channel	NOUN
ejpam-6198	723	28	transport	transport	NOUN
ejpam-6198	723	29	of	of	ADP
ejpam-6198	723	30	engine	engine	NOUN
ejpam-6198	723	31	oil	oil	NOUN
ejpam-6198	723	32	with	with	ADP
ejpam-6198	723	33	titanium	titanium	NOUN
ejpam-6198	723	34	and	and	CCONJ
ejpam-6198	723	35	aluminum	aluminum	NOUN
ejpam-6198	723	36	alloy	alloy	NOUN
ejpam-6198	723	37	nanoparticles	nanoparticle	NOUN
ejpam-6198	723	38	:	:	PUNCT
ejpam-6198	723	39	a	a	DET
ejpam-6198	723	40	fractional	fractional	ADJ
ejpam-6198	723	41	study	study	NOUN
ejpam-6198	723	42	.	.	PUNCT
ejpam-6198	724	1	ieee	ieee	NOUN
ejpam-6198	724	2	access	access	NOUN
ejpam-6198	724	3	,	,	PUNCT
ejpam-6198	724	4	9:52036–52052	9:52036–52052	PRON
ejpam-6198	724	5	,	,	PUNCT
ejpam-6198	724	6	2021	2021	NUM
ejpam-6198	724	7	.	.	PUNCT
ejpam-6198	725	1	[	[	X
ejpam-6198	725	2	10	10	NUM
ejpam-6198	725	3	]	]	PUNCT
ejpam-6198	725	4	s.	s.	PROPN
ejpam-6198	725	5	qureshi	qureshi	PROPN
ejpam-6198	725	6	and	and	CCONJ
ejpam-6198	725	7	a.	a.	PROPN
ejpam-6198	725	8	atangana	atangana	PROPN
ejpam-6198	725	9	.	.	PUNCT
ejpam-6198	726	1	mathematical	mathematical	ADJ
ejpam-6198	726	2	analysis	analysis	NOUN
ejpam-6198	726	3	of	of	ADP
ejpam-6198	726	4	dengue	dengue	NOUN
ejpam-6198	726	5	fever	fever	NOUN
ejpam-6198	726	6	outbreak	outbreak	NOUN
ejpam-6198	726	7	by	by	ADP
ejpam-6198	726	8	novel	novel	ADJ
ejpam-6198	726	9	fractional	fractional	ADJ
ejpam-6198	726	10	operators	operator	NOUN
ejpam-6198	726	11	with	with	ADP
ejpam-6198	726	12	field	field	NOUN
ejpam-6198	726	13	data	datum	NOUN
ejpam-6198	726	14	.	.	PUNCT
ejpam-6198	727	1	physica	physica	PROPN
ejpam-6198	727	2	a	a	DET
ejpam-6198	727	3	:	:	PUNCT
ejpam-6198	727	4	statistical	statistical	ADJ
ejpam-6198	727	5	mechanics	mechanic	NOUN
ejpam-6198	727	6	and	and	CCONJ
ejpam-6198	727	7	its	its	PRON
ejpam-6198	727	8	applications	application	NOUN
ejpam-6198	727	9	,	,	PUNCT
ejpam-6198	727	10	526:121127	526:121127	NUM
ejpam-6198	727	11	,	,	PUNCT
ejpam-6198	727	12	2019	2019	NUM
ejpam-6198	727	13	.	.	PUNCT
ejpam-6198	728	1	[	[	X
ejpam-6198	728	2	11	11	NUM
ejpam-6198	728	3	]	]	X
ejpam-6198	728	4	n.	n.	PROPN
ejpam-6198	728	5	faraz	faraz	PROPN
ejpam-6198	728	6	,	,	PUNCT
ejpam-6198	728	7	y.	y.	PROPN
ejpam-6198	728	8	khan	khan	PROPN
ejpam-6198	728	9	,	,	PUNCT
ejpam-6198	728	10	e.	e.	PROPN
ejpam-6198	728	11	d.	d.	PROPN
ejpam-6198	728	12	goufo	goufo	PROPN
ejpam-6198	728	13	,	,	PUNCT
ejpam-6198	728	14	a.	a.	NOUN
ejpam-6198	728	15	anjum	anjum	PROPN
ejpam-6198	728	16	,	,	PUNCT
ejpam-6198	728	17	and	and	CCONJ
ejpam-6198	728	18	a.	a.	PROPN
ejpam-6198	728	19	anjum	anjum	PROPN
ejpam-6198	728	20	.	.	PUNCT
ejpam-6198	729	1	dynamic	dynamic	ADJ
ejpam-6198	729	2	analysis	analysis	NOUN
ejpam-6198	729	3	of	of	ADP
ejpam-6198	729	4	the	the	DET
ejpam-6198	729	5	mathematical	mathematical	ADJ
ejpam-6198	729	6	model	model	NOUN
ejpam-6198	729	7	of	of	ADP
ejpam-6198	729	8	covid-19	covid-19	PROPN
ejpam-6198	729	9	with	with	ADP
ejpam-6198	729	10	demographic	demographic	ADJ
ejpam-6198	729	11	effects	effect	NOUN
ejpam-6198	729	12	.	.	PUNCT
ejpam-6198	730	1	zeitschrift	zeitschrift	PROPN
ejpam-6198	730	2	für	für	PROPN
ejpam-6198	730	3	naturforschung	naturforschung	PROPN
ejpam-6198	730	4	c	c	PROPN
ejpam-6198	730	5	,	,	PUNCT
ejpam-6198	730	6	75(11	75(11	NUM
ejpam-6198	730	7	-	-	SYM
ejpam-6198	730	8	12):389–396	12):389–396	NUM
ejpam-6198	730	9	,	,	PUNCT
ejpam-6198	730	10	2020	2020	NUM
ejpam-6198	730	11	.	.	PUNCT
ejpam-6198	731	1	[	[	X
ejpam-6198	731	2	12	12	NUM
ejpam-6198	731	3	]	]	PUNCT
ejpam-6198	731	4	t.	t.	PROPN
ejpam-6198	731	5	anwar	anwar	PROPN
ejpam-6198	731	6	,	,	PUNCT
ejpam-6198	731	7	asifa	asifa	PROPN
ejpam-6198	731	8	,	,	PUNCT
ejpam-6198	731	9	p.	p.	PROPN
ejpam-6198	731	10	kumam	kumam	PROPN
ejpam-6198	731	11	,	,	PUNCT
ejpam-6198	731	12	and	and	CCONJ
ejpam-6198	731	13	k.	k.	PROPN
ejpam-6198	731	14	sitthithakerngkiet	sitthithakerngkiet	PROPN
ejpam-6198	731	15	.	.	PUNCT
ejpam-6198	732	1	a	a	DET
ejpam-6198	732	2	fractional	fractional	ADJ
ejpam-6198	732	3	model	model	NOUN
ejpam-6198	732	4	for	for	ADP
ejpam-6198	732	5	thermal	thermal	ADJ
ejpam-6198	732	6	investigation	investigation	NOUN
ejpam-6198	732	7	of	of	ADP
ejpam-6198	732	8	mos2	mos2	PROPN
ejpam-6198	732	9	-	-	PUNCT
ejpam-6198	732	10	fe3o4	fe3o4	NOUN
ejpam-6198	732	11	/	/	SYM
ejpam-6198	732	12	engine	engine	NOUN
ejpam-6198	732	13	oil	oil	NOUN
ejpam-6198	732	14	hybrid	hybrid	NOUN
ejpam-6198	732	15	nanofluid	nanofluid	PROPN
ejpam-6198	732	16	under	under	ADP
ejpam-6198	732	17	double	double	ADJ
ejpam-6198	732	18	ramped	ramped	ADJ
ejpam-6198	732	19	conditions	condition	NOUN
ejpam-6198	732	20	and	and	CCONJ
ejpam-6198	732	21	shape	shape	NOUN
ejpam-6198	732	22	factor	factor	NOUN
ejpam-6198	732	23	influence	influence	NOUN
ejpam-6198	732	24	:	:	PUNCT
ejpam-6198	732	25	the	the	DET
ejpam-6198	732	26	atangana	atangana	PROPN
ejpam-6198	732	27	–	–	PUNCT
ejpam-6198	732	28	baleanu	baleanu	PROPN
ejpam-6198	732	29	approach	approach	NOUN
ejpam-6198	732	30	.	.	PUNCT
ejpam-6198	733	1	mathematical	mathematical	ADJ
ejpam-6198	733	2	methods	method	NOUN
ejpam-6198	733	3	in	in	ADP
ejpam-6198	733	4	the	the	DET
ejpam-6198	733	5	applied	apply	VERB
ejpam-6198	733	6	sciences	science	NOUN
ejpam-6198	733	7	,	,	PUNCT
ejpam-6198	733	8	2021	2021	NUM
ejpam-6198	733	9	.	.	PUNCT
ejpam-6198	734	1	[	[	X
ejpam-6198	734	2	13	13	NUM
ejpam-6198	734	3	]	]	PUNCT
ejpam-6198	734	4	t.	t.	PROPN
ejpam-6198	734	5	anwar	anwar	PROPN
ejpam-6198	734	6	,	,	PUNCT
ejpam-6198	734	7	p.	p.	PROPN
ejpam-6198	734	8	kumam	kumam	PROPN
ejpam-6198	734	9	,	,	PUNCT
ejpam-6198	734	10	p.	p.	PROPN
ejpam-6198	734	11	suttiarporn	suttiarporn	PROPN
ejpam-6198	734	12	,	,	PUNCT
ejpam-6198	734	13	s.	s.	PROPN
ejpam-6198	734	14	m.	m.	PROPN
ejpam-6198	734	15	eldin	eldin	PROPN
ejpam-6198	734	16	,	,	PUNCT
ejpam-6198	734	17	s.	s.	PROPN
ejpam-6198	734	18	muhammad	muhammad	PROPN
ejpam-6198	734	19	,	,	PUNCT
ejpam-6198	734	20	a.	a.	NOUN
ejpam-6198	734	21	m.	m.	PROPN
ejpam-6198	734	22	galal	galal	PROPN
ejpam-6198	734	23	,	,	PUNCT
ejpam-6198	734	24	et	et	PROPN
ejpam-6198	734	25	al	al	PROPN
ejpam-6198	734	26	.	.	PUNCT
ejpam-6198	735	1	a	a	DET
ejpam-6198	735	2	mathematical	mathematical	ADJ
ejpam-6198	735	3	study	study	NOUN
ejpam-6198	735	4	on	on	ADP
ejpam-6198	735	5	thermal	thermal	ADJ
ejpam-6198	735	6	performance	performance	NOUN
ejpam-6198	735	7	of	of	ADP
ejpam-6198	735	8	aluminum	aluminum	NOUN
ejpam-6198	735	9	and	and	CCONJ
ejpam-6198	735	10	titanium	titanium	NOUN
ejpam-6198	735	11	alloys	alloy	NOUN
ejpam-6198	735	12	m.	m.	VERB
ejpam-6198	735	13	zafarullah	zafarullah	PROPN
ejpam-6198	735	14	et	et	PROPN
ejpam-6198	735	15	al	al	PROPN
ejpam-6198	735	16	.	.	PUNCT
ejpam-6198	735	17	/	/	SYM
ejpam-6198	735	18	eur	eur	PROPN
ejpam-6198	735	19	.	.	PUNCT
ejpam-6198	736	1	j.	j.	PROPN
ejpam-6198	736	2	pure	pure	PROPN
ejpam-6198	736	3	appl	appl	PROPN
ejpam-6198	736	4	.	.	PROPN
ejpam-6198	736	5	math	math	PROPN
ejpam-6198	736	6	,	,	PUNCT
ejpam-6198	736	7	18	18	NUM
ejpam-6198	736	8	(	(	PUNCT
ejpam-6198	736	9	4	4	NUM
ejpam-6198	736	10	)	)	PUNCT
ejpam-6198	736	11	(	(	PUNCT
ejpam-6198	736	12	2025	2025	NUM
ejpam-6198	736	13	)	)	PUNCT
ejpam-6198	736	14	,	,	PUNCT
ejpam-6198	736	15	6198	6198	NUM
ejpam-6198	736	16	39	39	NUM
ejpam-6198	736	17	of	of	ADP
ejpam-6198	736	18	41	41	NUM
ejpam-6198	736	19	based	base	VERB
ejpam-6198	736	20	hybrid	hybrid	ADJ
ejpam-6198	736	21	nanofluid	nanofluid	NOUN
ejpam-6198	736	22	using	use	VERB
ejpam-6198	736	23	a	a	DET
ejpam-6198	736	24	multiparametric	multiparametric	ADJ
ejpam-6198	736	25	fractional	fractional	ADJ
ejpam-6198	736	26	operator	operator	NOUN
ejpam-6198	736	27	.	.	PUNCT
ejpam-6198	737	1	case	case	NOUN
ejpam-6198	737	2	studies	study	NOUN
ejpam-6198	737	3	in	in	ADP
ejpam-6198	737	4	thermal	thermal	ADJ
ejpam-6198	737	5	engineering	engineering	NOUN
ejpam-6198	737	6	,	,	PUNCT
ejpam-6198	737	7	45:102909	45:102909	NUM
ejpam-6198	737	8	,	,	PUNCT
ejpam-6198	737	9	2023	2023	NUM
ejpam-6198	737	10	.	.	PUNCT
ejpam-6198	738	1	[	[	X
ejpam-6198	738	2	14	14	NUM
ejpam-6198	738	3	]	]	X
ejpam-6198	738	4	asifa	asifa	PROPN
ejpam-6198	738	5	,	,	PUNCT
ejpam-6198	738	6	t.	t.	PROPN
ejpam-6198	738	7	anwar	anwar	PROPN
ejpam-6198	738	8	,	,	PUNCT
ejpam-6198	738	9	p.	p.	PROPN
ejpam-6198	738	10	kumam	kumam	PROPN
ejpam-6198	738	11	,	,	PUNCT
ejpam-6198	738	12	m.	m.	PROPN
ejpam-6198	738	13	y.	y.	PROPN
ejpam-6198	738	14	almusawa	almusawa	PROPN
ejpam-6198	738	15	,	,	PUNCT
ejpam-6198	738	16	s.	s.	PROPN
ejpam-6198	738	17	a.	a.	PROPN
ejpam-6198	738	18	lone	lone	PROPN
ejpam-6198	738	19	,	,	PUNCT
ejpam-6198	738	20	and	and	CCONJ
ejpam-6198	738	21	p.	p.	PROPN
ejpam-6198	738	22	suttiarporn	suttiarporn	PROPN
ejpam-6198	738	23	.	.	PUNCT
ejpam-6198	739	1	exact	exact	ADJ
ejpam-6198	739	2	solutions	solution	NOUN
ejpam-6198	739	3	via	via	ADP
ejpam-6198	739	4	prabhakar	prabhakar	PROPN
ejpam-6198	739	5	fractional	fractional	ADJ
ejpam-6198	739	6	approach	approach	NOUN
ejpam-6198	739	7	to	to	PART
ejpam-6198	739	8	investigate	investigate	VERB
ejpam-6198	739	9	heat	heat	NOUN
ejpam-6198	739	10	transfer	transfer	NOUN
ejpam-6198	739	11	and	and	CCONJ
ejpam-6198	739	12	flow	flow	NOUN
ejpam-6198	739	13	features	feature	NOUN
ejpam-6198	739	14	of	of	ADP
ejpam-6198	739	15	hybrid	hybrid	ADJ
ejpam-6198	739	16	nanofluid	nanofluid	ADJ
ejpam-6198	739	17	subject	subject	NOUN
ejpam-6198	739	18	to	to	ADP
ejpam-6198	739	19	shape	shape	NOUN
ejpam-6198	739	20	and	and	CCONJ
ejpam-6198	739	21	slip	slip	NOUN
ejpam-6198	739	22	effects	effect	NOUN
ejpam-6198	739	23	.	.	PUNCT
ejpam-6198	740	1	scientific	scientific	ADJ
ejpam-6198	740	2	reports	report	NOUN
ejpam-6198	740	3	,	,	PUNCT
ejpam-6198	740	4	13(1):7810	13(1):7810	NUM
ejpam-6198	740	5	,	,	PUNCT
ejpam-6198	740	6	2023	2023	NUM
ejpam-6198	740	7	.	.	PUNCT
ejpam-6198	741	1	[	[	X
ejpam-6198	741	2	15	15	NUM
ejpam-6198	741	3	]	]	X
ejpam-6198	741	4	m.	m.	PROPN
ejpam-6198	741	5	b.	b.	PROPN
ejpam-6198	741	6	riaz	riaz	PROPN
ejpam-6198	741	7	and	and	CCONJ
ejpam-6198	741	8	n.	n.	PROPN
ejpam-6198	741	9	iftikhar	iftikhar	PROPN
ejpam-6198	741	10	.	.	PUNCT
ejpam-6198	742	1	a	a	DET
ejpam-6198	742	2	comparative	comparative	ADJ
ejpam-6198	742	3	study	study	NOUN
ejpam-6198	742	4	of	of	ADP
ejpam-6198	742	5	heat	heat	NOUN
ejpam-6198	742	6	transfer	transfer	NOUN
ejpam-6198	742	7	analysis	analysis	NOUN
ejpam-6198	742	8	of	of	ADP
ejpam-6198	742	9	mhd	mhd	PROPN
ejpam-6198	742	10	maxwell	maxwell	PROPN
ejpam-6198	742	11	fluid	fluid	PROPN
ejpam-6198	742	12	in	in	ADP
ejpam-6198	742	13	view	view	NOUN
ejpam-6198	742	14	of	of	ADP
ejpam-6198	742	15	local	local	ADJ
ejpam-6198	742	16	and	and	CCONJ
ejpam-6198	742	17	nonlocal	nonlocal	ADJ
ejpam-6198	742	18	differential	differential	ADJ
ejpam-6198	742	19	operators	operator	NOUN
ejpam-6198	742	20	.	.	PUNCT
ejpam-6198	743	1	chaos	chaos	NOUN
ejpam-6198	743	2	,	,	PUNCT
ejpam-6198	743	3	solitons	soliton	NOUN
ejpam-6198	743	4	&	&	CCONJ
ejpam-6198	743	5	fractals	fractal	NOUN
ejpam-6198	743	6	,	,	PUNCT
ejpam-6198	743	7	132:109556	132:109556	NUM
ejpam-6198	743	8	,	,	PUNCT
ejpam-6198	743	9	2020	2020	NUM
ejpam-6198	743	10	.	.	PUNCT
ejpam-6198	744	1	[	[	X
ejpam-6198	744	2	16	16	NUM
ejpam-6198	744	3	]	]	PUNCT
ejpam-6198	744	4	s.	s.	PROPN
ejpam-6198	744	5	t.	t.	PROPN
ejpam-6198	744	6	saeed	saeed	PROPN
ejpam-6198	744	7	,	,	PUNCT
ejpam-6198	744	8	m.	m.	PROPN
ejpam-6198	744	9	b.	b.	PROPN
ejpam-6198	744	10	riaz	riaz	PROPN
ejpam-6198	744	11	,	,	PUNCT
ejpam-6198	744	12	and	and	CCONJ
ejpam-6198	744	13	d.	d.	PROPN
ejpam-6198	744	14	baleanu	baleanu	PROPN
ejpam-6198	744	15	.	.	PUNCT
ejpam-6198	745	1	a	a	DET
ejpam-6198	745	2	fractional	fractional	ADJ
ejpam-6198	745	3	study	study	NOUN
ejpam-6198	745	4	of	of	ADP
ejpam-6198	745	5	generalized	generalize	VERB
ejpam-6198	745	6	oldroyd	oldroyd	VERB
ejpam-6198	745	7	-	-	PUNCT
ejpam-6198	745	8	b	b	NOUN
ejpam-6198	745	9	fluid	fluid	NOUN
ejpam-6198	745	10	with	with	ADP
ejpam-6198	745	11	ramped	ramped	ADJ
ejpam-6198	745	12	conditions	condition	NOUN
ejpam-6198	745	13	via	via	ADP
ejpam-6198	745	14	local	local	ADJ
ejpam-6198	745	15	&	&	CCONJ
ejpam-6198	745	16	non	non	ADJ
ejpam-6198	745	17	-	-	ADJ
ejpam-6198	745	18	local	local	ADJ
ejpam-6198	745	19	kernels	kernel	NOUN
ejpam-6198	745	20	.	.	PUNCT
ejpam-6198	746	1	nonlinear	nonlinear	ADJ
ejpam-6198	746	2	engineering	engineering	NOUN
ejpam-6198	746	3	,	,	PUNCT
ejpam-6198	746	4	10(1):177–186	10(1):177–186	PROPN
ejpam-6198	746	5	,	,	PUNCT
ejpam-6198	746	6	2021	2021	NUM
ejpam-6198	746	7	.	.	PUNCT
ejpam-6198	747	1	[	[	X
ejpam-6198	747	2	17	17	NUM
ejpam-6198	747	3	]	]	PUNCT
ejpam-6198	747	4	m.	m.	PROPN
ejpam-6198	747	5	yavuz	yavuz	PROPN
ejpam-6198	747	6	,	,	PUNCT
ejpam-6198	747	7	m.	m.	NOUN
ejpam-6198	747	8	arfan	arfan	PROPN
ejpam-6198	747	9	,	,	PUNCT
ejpam-6198	747	10	sami	sami	PROPN
ejpam-6198	747	11	,	,	PUNCT
ejpam-6198	747	12	et	et	PROPN
ejpam-6198	747	13	al	al	PROPN
ejpam-6198	747	14	.	.	PROPN
ejpam-6198	748	1	theoretical	theoretical	ADJ
ejpam-6198	748	2	and	and	CCONJ
ejpam-6198	748	3	numerical	numerical	ADJ
ejpam-6198	748	4	investigation	investigation	NOUN
ejpam-6198	748	5	of	of	ADP
ejpam-6198	748	6	a	a	DET
ejpam-6198	748	7	modified	modify	VERB
ejpam-6198	748	8	abc	abc	NOUN
ejpam-6198	748	9	fractional	fractional	ADJ
ejpam-6198	748	10	operator	operator	NOUN
ejpam-6198	748	11	for	for	ADP
ejpam-6198	748	12	the	the	DET
ejpam-6198	748	13	spread	spread	NOUN
ejpam-6198	748	14	of	of	ADP
ejpam-6198	748	15	polio	polio	NOUN
ejpam-6198	748	16	with	with	ADP
ejpam-6198	748	17	the	the	DET
ejpam-6198	748	18	effect	effect	NOUN
ejpam-6198	748	19	of	of	ADP
ejpam-6198	748	20	vaccination	vaccination	NOUN
ejpam-6198	748	21	.	.	PUNCT
ejpam-6198	749	1	aims	aim	VERB
ejpam-6198	749	2	biophysics	biophysic	NOUN
ejpam-6198	749	3	,	,	PUNCT
ejpam-6198	749	4	11(1	11(1	NUM
ejpam-6198	749	5	)	)	PUNCT
ejpam-6198	749	6	,	,	PUNCT
ejpam-6198	749	7	2024	2024	NUM
ejpam-6198	749	8	.	.	PUNCT
ejpam-6198	750	1	[	[	X
ejpam-6198	750	2	18	18	NUM
ejpam-6198	750	3	]	]	X
ejpam-6198	750	4	j.	j.	PROPN
ejpam-6198	750	5	bansal	bansal	PROPN
ejpam-6198	750	6	,	,	PUNCT
ejpam-6198	750	7	a.	a.	PROPN
ejpam-6198	750	8	kumar	kumar	PROPN
ejpam-6198	750	9	,	,	PUNCT
ejpam-6198	750	10	a.	a.	PROPN
ejpam-6198	750	11	kumar	kumar	PROPN
ejpam-6198	750	12	,	,	PUNCT
ejpam-6198	750	13	a.	a.	PROPN
ejpam-6198	750	14	khan	khan	PROPN
ejpam-6198	750	15	,	,	PUNCT
ejpam-6198	750	16	and	and	CCONJ
ejpam-6198	750	17	t.	t.	PROPN
ejpam-6198	750	18	abdeljawad	abdeljawad	NOUN
ejpam-6198	750	19	.	.	PUNCT
ejpam-6198	751	1	investigation	investigation	NOUN
ejpam-6198	751	2	of	of	ADP
ejpam-6198	751	3	monkeypox	monkeypox	NOUN
ejpam-6198	751	4	disease	disease	NOUN
ejpam-6198	751	5	transmission	transmission	NOUN
ejpam-6198	751	6	with	with	ADP
ejpam-6198	751	7	vaccination	vaccination	NOUN
ejpam-6198	751	8	effects	effect	NOUN
ejpam-6198	751	9	using	use	VERB
ejpam-6198	751	10	fractional	fractional	ADJ
ejpam-6198	751	11	order	order	NOUN
ejpam-6198	751	12	mathematical	mathematical	ADJ
ejpam-6198	751	13	model	model	NOUN
ejpam-6198	751	14	under	under	ADP
ejpam-6198	751	15	atangana	atangana	PROPN
ejpam-6198	751	16	-	-	PUNCT
ejpam-6198	751	17	baleanu	baleanu	PROPN
ejpam-6198	751	18	caputo	caputo	PROPN
ejpam-6198	751	19	derivative	derivative	PROPN
ejpam-6198	751	20	.	.	PUNCT
ejpam-6198	752	1	modeling	model	VERB
ejpam-6198	752	2	earth	earth	NOUN
ejpam-6198	752	3	systems	system	NOUN
ejpam-6198	752	4	and	and	CCONJ
ejpam-6198	752	5	environment	environment	NOUN
ejpam-6198	752	6	,	,	PUNCT
ejpam-6198	752	7	11(1):40	11(1):40	NUM
ejpam-6198	752	8	,	,	PUNCT
ejpam-6198	752	9	2025	2025	NUM
ejpam-6198	752	10	.	.	PUNCT
ejpam-6198	753	1	[	[	X
ejpam-6198	753	2	19	19	NUM
ejpam-6198	753	3	]	]	X
ejpam-6198	753	4	v.	v.	X
ejpam-6198	753	5	kiryakova	kiryakova	PROPN
ejpam-6198	753	6	.	.	PUNCT
ejpam-6198	754	1	a	a	DET
ejpam-6198	754	2	guide	guide	NOUN
ejpam-6198	754	3	to	to	ADP
ejpam-6198	754	4	special	special	ADJ
ejpam-6198	754	5	functions	function	NOUN
ejpam-6198	754	6	in	in	ADP
ejpam-6198	754	7	fractional	fractional	ADJ
ejpam-6198	754	8	calculus	calculus	NOUN
ejpam-6198	754	9	.	.	PUNCT
ejpam-6198	755	1	mathematics	mathematic	NOUN
ejpam-6198	755	2	,	,	PUNCT
ejpam-6198	755	3	9(1):106	9(1):106	NUM
ejpam-6198	755	4	,	,	PUNCT
ejpam-6198	755	5	2021	2021	NUM
ejpam-6198	755	6	.	.	PUNCT
ejpam-6198	756	1	[	[	X
ejpam-6198	756	2	20	20	NUM
ejpam-6198	756	3	]	]	PUNCT
ejpam-6198	756	4	a.	a.	NOUN
ejpam-6198	756	5	m.	m.	PROPN
ejpam-6198	756	6	mathai	mathai	PROPN
ejpam-6198	756	7	,	,	PUNCT
ejpam-6198	756	8	r.	r.	PROPN
ejpam-6198	756	9	k.	k.	PROPN
ejpam-6198	756	10	saxena	saxena	PROPN
ejpam-6198	756	11	,	,	PUNCT
ejpam-6198	756	12	and	and	CCONJ
ejpam-6198	756	13	h.	h.	PROPN
ejpam-6198	756	14	j.	j.	PROPN
ejpam-6198	756	15	haubold	haubold	PROPN
ejpam-6198	756	16	.	.	PUNCT
ejpam-6198	757	1	the	the	DET
ejpam-6198	757	2	h	h	NOUN
ejpam-6198	757	3	-	-	PUNCT
ejpam-6198	757	4	function	function	NOUN
ejpam-6198	757	5	:	:	PUNCT
ejpam-6198	757	6	theory	theory	NOUN
ejpam-6198	757	7	and	and	CCONJ
ejpam-6198	757	8	applications	application	NOUN
ejpam-6198	757	9	.	.	PUNCT
ejpam-6198	758	1	springer	springer	NOUN
ejpam-6198	758	2	science	science	PROPN
ejpam-6198	758	3	&	&	CCONJ
ejpam-6198	758	4	business	business	NOUN
ejpam-6198	758	5	media	medium	NOUN
ejpam-6198	758	6	,	,	PUNCT
ejpam-6198	758	7	2009	2009	NUM
ejpam-6198	758	8	.	.	PUNCT
ejpam-6198	759	1	[	[	X
ejpam-6198	759	2	21	21	NUM
ejpam-6198	759	3	]	]	X
ejpam-6198	759	4	s.	s.	PROPN
ejpam-6198	759	5	qureshi	qureshi	PROPN
ejpam-6198	759	6	.	.	PUNCT
ejpam-6198	760	1	fox	fox	PROPN
ejpam-6198	760	2	h	h	NOUN
ejpam-6198	760	3	-	-	PUNCT
ejpam-6198	760	4	functions	function	NOUN
ejpam-6198	760	5	as	as	ADP
ejpam-6198	760	6	exact	exact	ADJ
ejpam-6198	760	7	solutions	solution	NOUN
ejpam-6198	760	8	for	for	ADP
ejpam-6198	760	9	caputo	caputo	PROPN
ejpam-6198	760	10	type	type	PROPN
ejpam-6198	760	11	mass	mass	PROPN
ejpam-6198	760	12	spring	spring	NOUN
ejpam-6198	760	13	damper	damper	NOUN
ejpam-6198	760	14	system	system	NOUN
ejpam-6198	760	15	under	under	ADP
ejpam-6198	760	16	sumudu	sumudu	NOUN
ejpam-6198	760	17	transform	transform	NOUN
ejpam-6198	760	18	.	.	PUNCT
ejpam-6198	761	1	journal	journal	PROPN
ejpam-6198	761	2	of	of	ADP
ejpam-6198	761	3	applied	apply	VERB
ejpam-6198	761	4	mathematics	mathematic	NOUN
ejpam-6198	761	5	and	and	CCONJ
ejpam-6198	761	6	computational	computational	ADJ
ejpam-6198	761	7	mechanics	mechanic	NOUN
ejpam-6198	761	8	,	,	PUNCT
ejpam-6198	761	9	20(1	20(1	NUM
ejpam-6198	761	10	)	)	PUNCT
ejpam-6198	761	11	,	,	PUNCT
ejpam-6198	761	12	2021	2021	NUM
ejpam-6198	761	13	.	.	PUNCT
ejpam-6198	762	1	[	[	X
ejpam-6198	762	2	22	22	NUM
ejpam-6198	762	3	]	]	X
ejpam-6198	762	4	f.	f.	PROPN
ejpam-6198	762	5	ali	ali	PROPN
ejpam-6198	762	6	,	,	PUNCT
ejpam-6198	762	7	n.	n.	PROPN
ejpam-6198	762	8	a.	a.	NOUN
ejpam-6198	762	9	sheikh	sheikh	PROPN
ejpam-6198	762	10	,	,	PUNCT
ejpam-6198	762	11	i.	i.	PROPN
ejpam-6198	762	12	khan	khan	PROPN
ejpam-6198	762	13	,	,	PUNCT
ejpam-6198	762	14	and	and	CCONJ
ejpam-6198	762	15	m.	m.	NOUN
ejpam-6198	762	16	saqib	saqib	PROPN
ejpam-6198	762	17	.	.	PUNCT
ejpam-6198	763	1	solutions	solution	NOUN
ejpam-6198	763	2	with	with	ADP
ejpam-6198	763	3	wright	wright	PROPN
ejpam-6198	763	4	function	function	PROPN
ejpam-6198	763	5	for	for	ADP
ejpam-6198	763	6	time	time	NOUN
ejpam-6198	763	7	fractional	fractional	PROPN
ejpam-6198	763	8	free	free	ADJ
ejpam-6198	763	9	convection	convection	NOUN
ejpam-6198	763	10	flow	flow	NOUN
ejpam-6198	763	11	of	of	ADP
ejpam-6198	763	12	casson	casson	PROPN
ejpam-6198	763	13	fluid	fluid	NOUN
ejpam-6198	763	14	.	.	PUNCT
ejpam-6198	764	1	arabian	arabian	ADJ
ejpam-6198	764	2	journal	journal	PROPN
ejpam-6198	764	3	for	for	ADP
ejpam-6198	764	4	science	science	NOUN
ejpam-6198	764	5	and	and	CCONJ
ejpam-6198	764	6	engineering	engineering	NOUN
ejpam-6198	764	7	,	,	PUNCT
ejpam-6198	764	8	42:2565–2572	42:2565–2572	NUM
ejpam-6198	764	9	,	,	PUNCT
ejpam-6198	764	10	2017	2017	NUM
ejpam-6198	764	11	.	.	PUNCT
ejpam-6198	765	1	[	[	X
ejpam-6198	765	2	23	23	NUM
ejpam-6198	765	3	]	]	PUNCT
ejpam-6198	765	4	m.	m.	NOUN
ejpam-6198	765	5	sharma	sharma	PROPN
ejpam-6198	765	6	and	and	CCONJ
ejpam-6198	765	7	r.	r.	PROPN
ejpam-6198	765	8	jain	jain	PROPN
ejpam-6198	765	9	.	.	PUNCT
ejpam-6198	766	1	a	a	DET
ejpam-6198	766	2	note	note	NOUN
ejpam-6198	766	3	on	on	ADP
ejpam-6198	766	4	a	a	DET
ejpam-6198	766	5	generalized	generalized	ADJ
ejpam-6198	766	6	m	m	NOUN
ejpam-6198	766	7	-	-	PUNCT
ejpam-6198	766	8	series	series	NOUN
ejpam-6198	766	9	as	as	ADP
ejpam-6198	766	10	a	a	DET
ejpam-6198	766	11	special	special	ADJ
ejpam-6198	766	12	function	function	NOUN
ejpam-6198	766	13	of	of	ADP
ejpam-6198	766	14	fractional	fractional	ADJ
ejpam-6198	766	15	calculus	calculus	NOUN
ejpam-6198	766	16	.	.	PUNCT
ejpam-6198	767	1	fractional	fractional	ADJ
ejpam-6198	767	2	calculus	calculus	NOUN
ejpam-6198	767	3	and	and	CCONJ
ejpam-6198	767	4	applied	apply	VERB
ejpam-6198	767	5	analysis	analysis	NOUN
ejpam-6198	767	6	,	,	PUNCT
ejpam-6198	767	7	12(4):449–452	12(4):449–452	NUM
ejpam-6198	767	8	,	,	PUNCT
ejpam-6198	767	9	2009	2009	NUM
ejpam-6198	767	10	.	.	PUNCT
ejpam-6198	768	1	[	[	X
ejpam-6198	768	2	24	24	NUM
ejpam-6198	768	3	]	]	PUNCT
ejpam-6198	768	4	m.	m.	NOUN
ejpam-6198	768	5	jamil	jamil	PROPN
ejpam-6198	768	6	,	,	PUNCT
ejpam-6198	768	7	v.	v.	PROPN
ejpam-6198	768	8	kumar	kumar	PROPN
ejpam-6198	768	9	,	,	PUNCT
ejpam-6198	768	10	m.	m.	NOUN
ejpam-6198	768	11	zafarullah	zafarullah	PROPN
ejpam-6198	768	12	,	,	PUNCT
ejpam-6198	768	13	and	and	CCONJ
ejpam-6198	768	14	a.	a.	PROPN
ejpam-6198	768	15	khan	khan	PROPN
ejpam-6198	768	16	.	.	PUNCT
ejpam-6198	768	17	fractionalized	fractionalize	VERB
ejpam-6198	768	18	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-6198	768	19	(	(	PUNCT
ejpam-6198	768	20	mhd	mhd	NOUN
ejpam-6198	768	21	)	)	PUNCT
ejpam-6198	768	22	of	of	ADP
ejpam-6198	768	23	the	the	DET
ejpam-6198	768	24	maxwell	maxwell	PROPN
ejpam-6198	768	25	fluid	fluid	NOUN
ejpam-6198	768	26	through	through	ADP
ejpam-6198	768	27	porous	porous	ADJ
ejpam-6198	768	28	cylinders	cylinder	NOUN
ejpam-6198	768	29	.	.	PUNCT
ejpam-6198	769	1	special	special	ADJ
ejpam-6198	769	2	topics	topic	NOUN
ejpam-6198	769	3	&	&	CCONJ
ejpam-6198	769	4	reviews	review	NOUN
ejpam-6198	769	5	in	in	ADP
ejpam-6198	769	6	porous	porous	ADJ
ejpam-6198	769	7	media	medium	NOUN
ejpam-6198	769	8	:	:	PUNCT
ejpam-6198	769	9	an	an	DET
ejpam-6198	769	10	international	international	ADJ
ejpam-6198	769	11	journal	journal	NOUN
ejpam-6198	769	12	,	,	PUNCT
ejpam-6198	769	13	12(6	12(6	NUM
ejpam-6198	769	14	)	)	PUNCT
ejpam-6198	769	15	,	,	PUNCT
ejpam-6198	769	16	2021	2021	NUM
ejpam-6198	769	17	.	.	PUNCT
ejpam-6198	770	1	[	[	X
ejpam-6198	770	2	25	25	NUM
ejpam-6198	770	3	]	]	PUNCT
ejpam-6198	770	4	m.	m.	NOUN
ejpam-6198	770	5	chakraborty	chakraborty	PROPN
ejpam-6198	770	6	and	and	CCONJ
ejpam-6198	770	7	s.	s.	PROPN
ejpam-6198	770	8	chakraborty	chakraborty	PROPN
ejpam-6198	770	9	.	.	PUNCT
ejpam-6198	771	1	implications	implication	NOUN
ejpam-6198	771	2	of	of	ADP
ejpam-6198	771	3	raychaudhuri	raychaudhuri	ADJ
ejpam-6198	771	4	equation	equation	NOUN
ejpam-6198	771	5	and	and	CCONJ
ejpam-6198	771	6	geodesic	geodesic	NOUN
ejpam-6198	771	7	focusing	focus	VERB
ejpam-6198	771	8	in	in	ADP
ejpam-6198	771	9	interacting	interact	VERB
ejpam-6198	771	10	two	two	NUM
ejpam-6198	771	11	fluid	fluid	ADJ
ejpam-6198	771	12	systems	system	NOUN
ejpam-6198	771	13	.	.	PUNCT
ejpam-6198	772	1	the	the	DET
ejpam-6198	772	2	european	european	PROPN
ejpam-6198	772	3	physical	physical	PROPN
ejpam-6198	772	4	journal	journal	PROPN
ejpam-6198	772	5	c	c	PROPN
ejpam-6198	772	6	,	,	PUNCT
ejpam-6198	772	7	85(1):114	85(1):114	NUM
ejpam-6198	772	8	,	,	PUNCT
ejpam-6198	772	9	2025	2025	NUM
ejpam-6198	772	10	.	.	PUNCT
ejpam-6198	773	1	[	[	X
ejpam-6198	773	2	26	26	NUM
ejpam-6198	773	3	]	]	X
ejpam-6198	773	4	r.	r.	PROPN
ejpam-6198	773	5	dhairiyasamy	dhairiyasamy	PROPN
ejpam-6198	773	6	,	,	PUNCT
ejpam-6198	773	7	d.	d.	PROPN
ejpam-6198	773	8	gabiriel	gabiriel	PROPN
ejpam-6198	773	9	,	,	PUNCT
ejpam-6198	773	10	w.	w.	PROPN
ejpam-6198	773	11	bunpheng	bunpheng	PROPN
ejpam-6198	773	12	,	,	PUNCT
ejpam-6198	773	13	and	and	CCONJ
ejpam-6198	773	14	c.	c.	PROPN
ejpam-6198	773	15	c.	c.	PROPN
ejpam-6198	773	16	kit	kit	PROPN
ejpam-6198	773	17	.	.	PUNCT
ejpam-6198	773	18	impact	impact	NOUN
ejpam-6198	773	19	of	of	ADP
ejpam-6198	773	20	silver	silver	ADJ
ejpam-6198	773	21	nanofluid	nanofluid	PROPN
ejpam-6198	773	22	modifications	modification	NOUN
ejpam-6198	773	23	on	on	ADP
ejpam-6198	773	24	heat	heat	NOUN
ejpam-6198	773	25	pipe	pipe	NOUN
ejpam-6198	773	26	thermal	thermal	ADJ
ejpam-6198	773	27	performance	performance	NOUN
ejpam-6198	773	28	.	.	PUNCT
ejpam-6198	774	1	journal	journal	NOUN
ejpam-6198	774	2	of	of	ADP
ejpam-6198	774	3	thermal	thermal	ADJ
ejpam-6198	774	4	analysis	analysis	NOUN
ejpam-6198	774	5	and	and	CCONJ
ejpam-6198	774	6	calorimetry	calorimetry	NOUN
ejpam-6198	774	7	,	,	PUNCT
ejpam-6198	774	8	pages	page	NOUN
ejpam-6198	774	9	1–20	1–20	PROPN
ejpam-6198	774	10	,	,	PUNCT
ejpam-6198	774	11	2025	2025	NUM
ejpam-6198	774	12	.	.	PUNCT
ejpam-6198	775	1	[	[	X
ejpam-6198	775	2	27	27	NUM
ejpam-6198	775	3	]	]	PUNCT
ejpam-6198	775	4	j.	j.	PROPN
ejpam-6198	775	5	bayat	bayat	PROPN
ejpam-6198	775	6	,	,	PUNCT
ejpam-6198	775	7	h.	h.	PROPN
ejpam-6198	775	8	emdad	emdad	PROPN
ejpam-6198	775	9	,	,	PUNCT
ejpam-6198	775	10	and	and	CCONJ
ejpam-6198	775	11	o.	o.	PROPN
ejpam-6198	775	12	abouali	abouali	PROPN
ejpam-6198	775	13	.	.	PUNCT
ejpam-6198	776	1	a	a	DET
ejpam-6198	776	2	mechanical	mechanical	ADJ
ejpam-6198	776	3	model	model	NOUN
ejpam-6198	776	4	of	of	ADP
ejpam-6198	776	5	partially	partially	ADV
ejpam-6198	776	6	liquefied	liquefy	VERB
ejpam-6198	776	7	vitreous	vitreous	ADJ
ejpam-6198	776	8	dynamics	dynamic	NOUN
ejpam-6198	776	9	induced	induce	VERB
ejpam-6198	776	10	by	by	ADP
ejpam-6198	776	11	saccadic	saccadic	ADJ
ejpam-6198	776	12	eye	eye	NOUN
ejpam-6198	776	13	movement	movement	NOUN
ejpam-6198	776	14	within	within	ADP
ejpam-6198	776	15	a	a	DET
ejpam-6198	776	16	realistic	realistic	ADJ
ejpam-6198	776	17	shape	shape	NOUN
ejpam-6198	776	18	of	of	ADP
ejpam-6198	776	19	vitreous	vitreous	ADJ
ejpam-6198	776	20	cavity	cavity	NOUN
ejpam-6198	776	21	.	.	PUNCT
ejpam-6198	777	1	physics	physics	PROPN
ejpam-6198	777	2	of	of	ADP
ejpam-6198	777	3	fluids	fluid	NOUN
ejpam-6198	777	4	,	,	PUNCT
ejpam-6198	777	5	34(2	34(2	NUM
ejpam-6198	777	6	)	)	PUNCT
ejpam-6198	777	7	,	,	PUNCT
ejpam-6198	777	8	2022	2022	NUM
ejpam-6198	777	9	.	.	PUNCT
ejpam-6198	778	1	m.	m.	NOUN
ejpam-6198	778	2	zafarullah	zafarullah	PROPN
ejpam-6198	778	3	et	et	PROPN
ejpam-6198	778	4	al	al	PROPN
ejpam-6198	778	5	.	.	PUNCT
ejpam-6198	778	6	/	/	SYM
ejpam-6198	778	7	eur	eur	PROPN
ejpam-6198	778	8	.	.	PUNCT
ejpam-6198	779	1	j.	j.	PROPN
ejpam-6198	779	2	pure	pure	PROPN
ejpam-6198	779	3	appl	appl	PROPN
ejpam-6198	779	4	.	.	PROPN
ejpam-6198	779	5	math	math	PROPN
ejpam-6198	779	6	,	,	PUNCT
ejpam-6198	779	7	18	18	NUM
ejpam-6198	779	8	(	(	PUNCT
ejpam-6198	779	9	4	4	NUM
ejpam-6198	779	10	)	)	PUNCT
ejpam-6198	779	11	(	(	PUNCT
ejpam-6198	779	12	2025	2025	NUM
ejpam-6198	779	13	)	)	PUNCT
ejpam-6198	779	14	,	,	PUNCT
ejpam-6198	779	15	6198	6198	NUM
ejpam-6198	779	16	40	40	NUM
ejpam-6198	779	17	of	of	ADP
ejpam-6198	779	18	41	41	NUM
ejpam-6198	780	1	[	[	X
ejpam-6198	780	2	28	28	NUM
ejpam-6198	780	3	]	]	X
ejpam-6198	780	4	f.	f.	PROPN
ejpam-6198	780	5	m.	m.	PROPN
ejpam-6198	780	6	alharbi	alharbi	PROPN
ejpam-6198	780	7	,	,	PUNCT
ejpam-6198	780	8	j.	j.	PROPN
ejpam-6198	780	9	j.	j.	PROPN
ejpam-6198	780	10	shepherd	shepherd	PROPN
ejpam-6198	780	11	,	,	PUNCT
ejpam-6198	780	12	and	and	CCONJ
ejpam-6198	780	13	a.	a.	PROPN
ejpam-6198	780	14	j.	j.	PROPN
ejpam-6198	780	15	stacey	stacey	PROPN
ejpam-6198	780	16	.	.	PUNCT
ejpam-6198	781	1	helical	helical	ADJ
ejpam-6198	781	2	flow	flow	NOUN
ejpam-6198	781	3	of	of	ADP
ejpam-6198	781	4	a	a	DET
ejpam-6198	781	5	bingham	bingham	PROPN
ejpam-6198	781	6	fluid	fluid	NOUN
ejpam-6198	781	7	arising	arise	VERB
ejpam-6198	781	8	from	from	ADP
ejpam-6198	781	9	axial	axial	ADJ
ejpam-6198	781	10	poiseuille	poiseuille	NOUN
ejpam-6198	781	11	flow	flow	NOUN
ejpam-6198	781	12	between	between	ADP
ejpam-6198	781	13	coaxial	coaxial	ADJ
ejpam-6198	781	14	cylinders	cylinder	NOUN
ejpam-6198	781	15	.	.	PUNCT
ejpam-6198	782	1	applied	apply	VERB
ejpam-6198	782	2	mathematical	mathematical	ADJ
ejpam-6198	782	3	modelling	modelling	NOUN
ejpam-6198	782	4	,	,	PUNCT
ejpam-6198	782	5	59:100–114	59:100–114	NUM
ejpam-6198	782	6	,	,	PUNCT
ejpam-6198	782	7	2018	2018	NUM
ejpam-6198	782	8	.	.	PUNCT
ejpam-6198	783	1	[	[	X
ejpam-6198	783	2	29	29	NUM
ejpam-6198	783	3	]	]	PUNCT
ejpam-6198	783	4	z.	z.	PROPN
ejpam-6198	783	5	a.	a.	PROPN
ejpam-6198	783	6	worku	worku	PROPN
ejpam-6198	783	7	,	,	PUNCT
ejpam-6198	783	8	d.	d.	PROPN
ejpam-6198	783	9	kumar	kumar	PROPN
ejpam-6198	783	10	,	,	PUNCT
ejpam-6198	783	11	j.	j.	PROPN
ejpam-6198	783	12	v.	v.	PROPN
ejpam-6198	783	13	gomes	gome	NOUN
ejpam-6198	783	14	,	,	PUNCT
ejpam-6198	783	15	y.	y.	PROPN
ejpam-6198	783	16	he	he	PRON
ejpam-6198	783	17	,	,	PUNCT
ejpam-6198	783	18	b.	b.	PROPN
ejpam-6198	783	19	glennon	glennon	PROPN
ejpam-6198	783	20	,	,	PUNCT
ejpam-6198	783	21	k.	k.	PROPN
ejpam-6198	783	22	a.	a.	PROPN
ejpam-6198	783	23	ramisetty	ramisetty	PROPN
ejpam-6198	783	24	,	,	PUNCT
ejpam-6198	783	25	å	å	PROPN
ejpam-6198	783	26	.	.	PUNCT
ejpam-6198	783	27	c.	c.	PROPN
ejpam-6198	783	28	rasmuson	rasmuson	PROPN
ejpam-6198	783	29	,	,	PUNCT
ejpam-6198	783	30	p.	p.	PROPN
ejpam-6198	783	31	o’connell	o’connell	PROPN
ejpam-6198	783	32	,	,	PUNCT
ejpam-6198	783	33	k.	k.	PROPN
ejpam-6198	783	34	h.	h.	PROPN
ejpam-6198	783	35	gallagher	gallagher	PROPN
ejpam-6198	783	36	,	,	PUNCT
ejpam-6198	783	37	t.	t.	NOUN
ejpam-6198	783	38	woods	wood	NOUN
ejpam-6198	783	39	,	,	PUNCT
ejpam-6198	783	40	et	et	PROPN
ejpam-6198	783	41	al	al	PROPN
ejpam-6198	783	42	.	.	PROPN
ejpam-6198	783	43	modelling	modelling	NOUN
ejpam-6198	783	44	and	and	CCONJ
ejpam-6198	783	45	understanding	understand	VERB
ejpam-6198	783	46	powder	powder	NOUN
ejpam-6198	783	47	flow	flow	NOUN
ejpam-6198	783	48	properties	property	NOUN
ejpam-6198	783	49	and	and	CCONJ
ejpam-6198	783	50	compactability	compactability	NOUN
ejpam-6198	783	51	of	of	ADP
ejpam-6198	783	52	selected	select	VERB
ejpam-6198	783	53	active	active	ADJ
ejpam-6198	783	54	pharmaceutical	pharmaceutical	ADJ
ejpam-6198	783	55	ingredients	ingredient	NOUN
ejpam-6198	783	56	,	,	PUNCT
ejpam-6198	783	57	excipients	excipient	NOUN
ejpam-6198	783	58	and	and	CCONJ
ejpam-6198	783	59	physical	physical	ADJ
ejpam-6198	783	60	mixtures	mixture	NOUN
ejpam-6198	783	61	from	from	ADP
ejpam-6198	783	62	critical	critical	ADJ
ejpam-6198	783	63	material	material	NOUN
ejpam-6198	783	64	properties	property	NOUN
ejpam-6198	783	65	.	.	PUNCT
ejpam-6198	784	1	international	international	ADJ
ejpam-6198	784	2	journal	journal	PROPN
ejpam-6198	784	3	of	of	ADP
ejpam-6198	784	4	pharmaceutics	pharmaceutic	NOUN
ejpam-6198	784	5	,	,	PUNCT
ejpam-6198	784	6	531(1):191–204	531(1):191–204	NUM
ejpam-6198	784	7	,	,	PUNCT
ejpam-6198	784	8	2017	2017	NUM
ejpam-6198	784	9	.	.	PUNCT
ejpam-6198	785	1	[	[	X
ejpam-6198	785	2	30	30	NUM
ejpam-6198	785	3	]	]	X
ejpam-6198	785	4	m.	m.	NOUN
ejpam-6198	785	5	jamil	jamil	PROPN
ejpam-6198	785	6	,	,	PUNCT
ejpam-6198	785	7	c.	c.	PROPN
ejpam-6198	785	8	fetecau	fetecau	PROPN
ejpam-6198	785	9	,	,	PUNCT
ejpam-6198	785	10	and	and	CCONJ
ejpam-6198	785	11	c.	c.	PROPN
ejpam-6198	785	12	fetecau	fetecau	PROPN
ejpam-6198	785	13	.	.	PUNCT
ejpam-6198	786	1	unsteady	unsteady	ADJ
ejpam-6198	786	2	flow	flow	NOUN
ejpam-6198	786	3	of	of	ADP
ejpam-6198	786	4	viscoelastic	viscoelastic	ADJ
ejpam-6198	786	5	fluid	fluid	NOUN
ejpam-6198	786	6	between	between	ADP
ejpam-6198	786	7	two	two	NUM
ejpam-6198	786	8	cylinders	cylinder	NOUN
ejpam-6198	786	9	using	use	VERB
ejpam-6198	786	10	fractional	fractional	PROPN
ejpam-6198	786	11	maxwell	maxwell	PROPN
ejpam-6198	786	12	model	model	PROPN
ejpam-6198	786	13	.	.	PUNCT
ejpam-6198	787	1	acta	acta	PROPN
ejpam-6198	787	2	mechanica	mechanica	PROPN
ejpam-6198	787	3	sinica	sinica	PROPN
ejpam-6198	787	4	,	,	PUNCT
ejpam-6198	787	5	28:274–280	28:274–280	PROPN
ejpam-6198	787	6	,	,	PUNCT
ejpam-6198	787	7	2012	2012	NUM
ejpam-6198	787	8	.	.	PUNCT
ejpam-6198	788	1	[	[	X
ejpam-6198	788	2	31	31	NUM
ejpam-6198	788	3	]	]	PUNCT
ejpam-6198	788	4	m.	m.	NOUN
ejpam-6198	788	5	kamran	kamran	PROPN
ejpam-6198	788	6	,	,	PUNCT
ejpam-6198	788	7	y.	y.	PROPN
ejpam-6198	788	8	bashir	bashir	PROPN
ejpam-6198	788	9	,	,	PUNCT
ejpam-6198	788	10	a.	a.	PROPN
ejpam-6198	788	11	farooq	farooq	PROPN
ejpam-6198	788	12	,	,	PUNCT
ejpam-6198	788	13	a.	a.	PROPN
ejpam-6198	788	14	shahzad	shahzad	PROPN
ejpam-6198	788	15	,	,	PUNCT
ejpam-6198	788	16	a.	a.	PROPN
ejpam-6198	788	17	a.	a.	PROPN
ejpam-6198	788	18	a.	a.	PROPN
ejpam-6198	788	19	mousa	mousa	PROPN
ejpam-6198	788	20	,	,	PUNCT
ejpam-6198	788	21	h.	h.	PROPN
ejpam-6198	788	22	alotaibi	alotaibi	PROPN
ejpam-6198	788	23	,	,	PUNCT
ejpam-6198	788	24	and	and	CCONJ
ejpam-6198	788	25	h.	h.	PROPN
ejpam-6198	788	26	ahmad	ahmad	PROPN
ejpam-6198	788	27	.	.	PUNCT
ejpam-6198	789	1	study	study	NOUN
ejpam-6198	789	2	on	on	ADP
ejpam-6198	789	3	the	the	DET
ejpam-6198	789	4	helicoidal	helicoidal	ADJ
ejpam-6198	789	5	flow	flow	NOUN
ejpam-6198	789	6	through	through	ADP
ejpam-6198	789	7	cylindrical	cylindrical	ADJ
ejpam-6198	789	8	annuli	annuli	NOUN
ejpam-6198	789	9	with	with	ADP
ejpam-6198	789	10	prescribed	prescribed	ADJ
ejpam-6198	789	11	shear	shear	NOUN
ejpam-6198	789	12	stresses	stress	NOUN
ejpam-6198	789	13	.	.	PUNCT
ejpam-6198	790	1	results	result	NOUN
ejpam-6198	790	2	in	in	ADP
ejpam-6198	790	3	physics	physics	NOUN
ejpam-6198	790	4	,	,	PUNCT
ejpam-6198	790	5	23:103993	23:103993	NUM
ejpam-6198	790	6	,	,	PUNCT
ejpam-6198	790	7	2021	2021	NUM
ejpam-6198	790	8	.	.	PUNCT
ejpam-6198	791	1	[	[	X
ejpam-6198	791	2	32	32	NUM
ejpam-6198	791	3	]	]	PUNCT
ejpam-6198	791	4	m.	m.	PROPN
ejpam-6198	791	5	javaid	javaid	PROPN
ejpam-6198	791	6	,	,	PUNCT
ejpam-6198	791	7	m.	m.	PROPN
ejpam-6198	791	8	tahir	tahir	PROPN
ejpam-6198	791	9	,	,	PUNCT
ejpam-6198	791	10	m.	m.	NOUN
ejpam-6198	791	11	imran	imran	PROPN
ejpam-6198	791	12	,	,	PUNCT
ejpam-6198	791	13	d.	d.	PROPN
ejpam-6198	791	14	baleanu	baleanu	PROPN
ejpam-6198	791	15	,	,	PUNCT
ejpam-6198	791	16	a.	a.	NOUN
ejpam-6198	791	17	akgül	akgül	NOUN
ejpam-6198	791	18	,	,	PUNCT
ejpam-6198	791	19	and	and	CCONJ
ejpam-6198	791	20	m.	m.	NOUN
ejpam-6198	791	21	a.	a.	NOUN
ejpam-6198	791	22	imran	imran	PROPN
ejpam-6198	791	23	.	.	PUNCT
ejpam-6198	792	1	unsteady	unsteady	ADJ
ejpam-6198	792	2	flow	flow	NOUN
ejpam-6198	792	3	of	of	ADP
ejpam-6198	792	4	fractional	fractional	ADJ
ejpam-6198	792	5	burgers	burger	NOUN
ejpam-6198	792	6	’	'	PUNCT
ejpam-6198	792	7	fluid	fluid	NOUN
ejpam-6198	792	8	in	in	ADP
ejpam-6198	792	9	a	a	DET
ejpam-6198	792	10	rotating	rotate	VERB
ejpam-6198	792	11	annulus	annulus	NOUN
ejpam-6198	792	12	region	region	NOUN
ejpam-6198	792	13	with	with	ADP
ejpam-6198	792	14	power	power	NOUN
ejpam-6198	792	15	law	law	NOUN
ejpam-6198	792	16	kernel	kernel	NOUN
ejpam-6198	792	17	.	.	PUNCT
ejpam-6198	793	1	alexandria	alexandria	PROPN
ejpam-6198	793	2	engineering	engineering	PROPN
ejpam-6198	793	3	journal	journal	PROPN
ejpam-6198	793	4	,	,	PUNCT
ejpam-6198	793	5	61(1):17–27	61(1):17–27	NUM
ejpam-6198	793	6	,	,	PUNCT
ejpam-6198	793	7	2022	2022	NUM
ejpam-6198	793	8	.	.	PUNCT
ejpam-6198	794	1	[	[	X
ejpam-6198	794	2	33	33	NUM
ejpam-6198	794	3	]	]	PUNCT
ejpam-6198	794	4	m.	m.	NOUN
ejpam-6198	794	5	jamil	jamil	PROPN
ejpam-6198	794	6	and	and	CCONJ
ejpam-6198	794	7	m.	m.	PROPN
ejpam-6198	794	8	zafarullah	zafarullah	PROPN
ejpam-6198	794	9	.	.	PUNCT
ejpam-6198	795	1	mhd	mhd	PROPN
ejpam-6198	795	2	flows	flow	NOUN
ejpam-6198	795	3	of	of	ADP
ejpam-6198	795	4	second	second	ADJ
ejpam-6198	795	5	grade	grade	NOUN
ejpam-6198	795	6	fluid	fluid	NOUN
ejpam-6198	795	7	through	through	ADP
ejpam-6198	795	8	the	the	DET
ejpam-6198	795	9	moving	move	VERB
ejpam-6198	795	10	porous	porous	ADJ
ejpam-6198	795	11	cylindrical	cylindrical	ADJ
ejpam-6198	795	12	domain	domain	NOUN
ejpam-6198	795	13	.	.	PUNCT
ejpam-6198	796	1	european	european	ADJ
ejpam-6198	796	2	journal	journal	PROPN
ejpam-6198	796	3	of	of	ADP
ejpam-6198	796	4	pure	pure	ADJ
ejpam-6198	796	5	and	and	CCONJ
ejpam-6198	796	6	applied	applied	ADJ
ejpam-6198	796	7	mathematics	mathematic	NOUN
ejpam-6198	796	8	,	,	PUNCT
ejpam-6198	796	9	12(3):1149–1175	12(3):1149–1175	PROPN
ejpam-6198	796	10	,	,	PUNCT
ejpam-6198	796	11	2019	2019	NUM
ejpam-6198	796	12	.	.	PUNCT
ejpam-6198	797	1	[	[	X
ejpam-6198	797	2	34	34	NUM
ejpam-6198	797	3	]	]	PUNCT
ejpam-6198	797	4	p.	p.	PROPN
ejpam-6198	797	5	liu	liu	PROPN
ejpam-6198	797	6	and	and	CCONJ
ejpam-6198	797	7	g.	g.	PROPN
ejpam-6198	797	8	f.	f.	PROPN
ejpam-6198	797	9	chen	chen	PROPN
ejpam-6198	797	10	.	.	PUNCT
ejpam-6198	798	1	porous	porous	ADJ
ejpam-6198	798	2	materials	material	NOUN
ejpam-6198	798	3	:	:	PUNCT
ejpam-6198	798	4	processing	processing	NOUN
ejpam-6198	798	5	and	and	CCONJ
ejpam-6198	798	6	applications	application	NOUN
ejpam-6198	798	7	.	.	PUNCT
ejpam-6198	799	1	elsevier	elsevier	NOUN
ejpam-6198	799	2	,	,	PUNCT
ejpam-6198	799	3	2014	2014	NUM
ejpam-6198	799	4	.	.	PUNCT
ejpam-6198	800	1	[	[	X
ejpam-6198	800	2	35	35	NUM
ejpam-6198	800	3	]	]	PUNCT
ejpam-6198	800	4	j.	j.	PROPN
ejpam-6198	800	5	cai	cai	PROPN
ejpam-6198	800	6	,	,	PUNCT
ejpam-6198	800	7	h.	h.	PROPN
ejpam-6198	800	8	hajibeygi	hajibeygi	PROPN
ejpam-6198	800	9	,	,	PUNCT
ejpam-6198	800	10	j.	j.	PROPN
ejpam-6198	800	11	yao	yao	PROPN
ejpam-6198	800	12	,	,	PUNCT
ejpam-6198	800	13	and	and	CCONJ
ejpam-6198	800	14	s.	s.	PROPN
ejpam-6198	800	15	m.	m.	PROPN
ejpam-6198	800	16	hassanizadeh	hassanizadeh	PROPN
ejpam-6198	800	17	.	.	PUNCT
ejpam-6198	801	1	advances	advance	NOUN
ejpam-6198	801	2	in	in	ADP
ejpam-6198	801	3	porous	porous	ADJ
ejpam-6198	801	4	media	medium	NOUN
ejpam-6198	801	5	science	science	NOUN
ejpam-6198	801	6	and	and	CCONJ
ejpam-6198	801	7	engineering	engineering	NOUN
ejpam-6198	801	8	from	from	ADP
ejpam-6198	801	9	interpore2020	interpore2020	PROPN
ejpam-6198	801	10	perspective	perspective	NOUN
ejpam-6198	801	11	.	.	PUNCT
ejpam-6198	802	1	advances	advance	NOUN
ejpam-6198	802	2	in	in	ADP
ejpam-6198	802	3	geo	geo	PROPN
ejpam-6198	802	4	-	-	PUNCT
ejpam-6198	802	5	energy	energy	NOUN
ejpam-6198	802	6	research	research	NOUN
ejpam-6198	802	7	,	,	PUNCT
ejpam-6198	802	8	4(4):352–355	4(4):352–355	NUM
ejpam-6198	802	9	,	,	PUNCT
ejpam-6198	802	10	2020	2020	NUM
ejpam-6198	802	11	.	.	PUNCT
ejpam-6198	803	1	[	[	X
ejpam-6198	803	2	36	36	NUM
ejpam-6198	803	3	]	]	X
ejpam-6198	803	4	i.	i.	NOUN
ejpam-6198	803	5	mochalin	mochalin	PROPN
ejpam-6198	803	6	,	,	PUNCT
ejpam-6198	803	7	j.	j.	PROPN
ejpam-6198	803	8	cai	cai	PROPN
ejpam-6198	803	9	,	,	PUNCT
ejpam-6198	803	10	e.	e.	PROPN
ejpam-6198	803	11	shiju	shiju	PROPN
ejpam-6198	803	12	,	,	PUNCT
ejpam-6198	803	13	v.	v.	PROPN
ejpam-6198	803	14	brazhenko	brazhenko	NOUN
ejpam-6198	803	15	,	,	PUNCT
ejpam-6198	803	16	and	and	CCONJ
ejpam-6198	803	17	d.	d.	PROPN
ejpam-6198	803	18	wang	wang	PROPN
ejpam-6198	803	19	.	.	PUNCT
ejpam-6198	804	1	numerical	numerical	PROPN
ejpam-6198	804	2	study	study	PROPN
ejpam-6198	804	3	of	of	ADP
ejpam-6198	804	4	the	the	DET
ejpam-6198	804	5	flow	flow	NOUN
ejpam-6198	804	6	through	through	ADP
ejpam-6198	804	7	an	an	DET
ejpam-6198	804	8	annular	annular	ADJ
ejpam-6198	804	9	gap	gap	NOUN
ejpam-6198	804	10	with	with	ADP
ejpam-6198	804	11	filtration	filtration	NOUN
ejpam-6198	804	12	by	by	ADP
ejpam-6198	804	13	a	a	DET
ejpam-6198	804	14	rotating	rotate	VERB
ejpam-6198	804	15	porous	porous	ADJ
ejpam-6198	804	16	cylinder	cylinder	NOUN
ejpam-6198	804	17	.	.	PUNCT
ejpam-6198	805	1	engineering	engineering	NOUN
ejpam-6198	805	2	applications	application	NOUN
ejpam-6198	805	3	of	of	ADP
ejpam-6198	805	4	computational	computational	ADJ
ejpam-6198	805	5	fluid	fluid	ADJ
ejpam-6198	805	6	mechanics	mechanic	NOUN
ejpam-6198	805	7	,	,	PUNCT
ejpam-6198	805	8	16(1):469–483	16(1):469–483	PROPN
ejpam-6198	805	9	,	,	PUNCT
ejpam-6198	805	10	2022	2022	NUM
ejpam-6198	805	11	.	.	PUNCT
ejpam-6198	806	1	[	[	X
ejpam-6198	806	2	37	37	NUM
ejpam-6198	806	3	]	]	PUNCT
ejpam-6198	806	4	a.	a.	NOUN
ejpam-6198	806	5	mahmood	mahmood	PROPN
ejpam-6198	806	6	,	,	PUNCT
ejpam-6198	806	7	c.	c.	PROPN
ejpam-6198	806	8	fetecau	fetecau	PROPN
ejpam-6198	806	9	,	,	PUNCT
ejpam-6198	806	10	and	and	CCONJ
ejpam-6198	806	11	i.	i.	PROPN
ejpam-6198	806	12	siddique	siddique	PROPN
ejpam-6198	806	13	.	.	PUNCT
ejpam-6198	807	1	exact	exact	ADJ
ejpam-6198	807	2	solutions	solution	NOUN
ejpam-6198	807	3	for	for	ADP
ejpam-6198	807	4	some	some	DET
ejpam-6198	807	5	unsteady	unsteady	ADJ
ejpam-6198	807	6	flows	flow	NOUN
ejpam-6198	807	7	of	of	ADP
ejpam-6198	807	8	generalized	generalized	ADJ
ejpam-6198	807	9	second	second	ADJ
ejpam-6198	807	10	grade	grade	NOUN
ejpam-6198	807	11	fluids	fluid	NOUN
ejpam-6198	807	12	in	in	ADP
ejpam-6198	807	13	cylindrical	cylindrical	ADJ
ejpam-6198	807	14	domains	domain	NOUN
ejpam-6198	807	15	.	.	PUNCT
ejpam-6198	808	1	journal	journal	NOUN
ejpam-6198	808	2	of	of	ADP
ejpam-6198	808	3	prime	prime	ADJ
ejpam-6198	808	4	research	research	NOUN
ejpam-6198	808	5	in	in	ADP
ejpam-6198	808	6	mathematics	mathematic	NOUN
ejpam-6198	808	7	,	,	PUNCT
ejpam-6198	808	8	4:171–180	4:171–180	NUM
ejpam-6198	808	9	,	,	PUNCT
ejpam-6198	808	10	2008	2008	NUM
ejpam-6198	808	11	.	.	PUNCT
ejpam-6198	809	1	[	[	X
ejpam-6198	809	2	38	38	NUM
ejpam-6198	809	3	]	]	PUNCT
ejpam-6198	809	4	h.	h.	PROPN
ejpam-6198	809	5	qi	qi	PROPN
ejpam-6198	809	6	and	and	CCONJ
ejpam-6198	809	7	h.	h.	PROPN
ejpam-6198	809	8	jin	jin	PROPN
ejpam-6198	809	9	.	.	PUNCT
ejpam-6198	810	1	unsteady	unsteady	ADJ
ejpam-6198	810	2	helical	helical	ADJ
ejpam-6198	810	3	flows	flow	NOUN
ejpam-6198	810	4	of	of	ADP
ejpam-6198	810	5	a	a	DET
ejpam-6198	810	6	generalized	generalize	VERB
ejpam-6198	810	7	oldroyd	oldroyd	VERB
ejpam-6198	810	8	-	-	PUNCT
ejpam-6198	810	9	b	b	NOUN
ejpam-6198	810	10	fluid	fluid	NOUN
ejpam-6198	810	11	with	with	ADP
ejpam-6198	810	12	fractional	fractional	ADJ
ejpam-6198	810	13	derivative	derivative	NOUN
ejpam-6198	810	14	.	.	PUNCT
ejpam-6198	811	1	nonlinear	nonlinear	ADJ
ejpam-6198	811	2	analysis	analysis	NOUN
ejpam-6198	811	3	:	:	PUNCT
ejpam-6198	811	4	real	real	ADJ
ejpam-6198	811	5	world	world	NOUN
ejpam-6198	811	6	applications	application	NOUN
ejpam-6198	811	7	,	,	PUNCT
ejpam-6198	811	8	10(5):2700–2708	10(5):2700–2708	NUM
ejpam-6198	811	9	,	,	PUNCT
ejpam-6198	811	10	2009	2009	NUM
ejpam-6198	811	11	.	.	PUNCT
ejpam-6198	812	1	[	[	X
ejpam-6198	812	2	39	39	NUM
ejpam-6198	812	3	]	]	PUNCT
ejpam-6198	812	4	m.	m.	NOUN
ejpam-6198	812	5	aleem	aleem	PROPN
ejpam-6198	812	6	,	,	PUNCT
ejpam-6198	812	7	m.	m.	PROPN
ejpam-6198	812	8	i.	i.	PROPN
ejpam-6198	812	9	asjad	asjad	PROPN
ejpam-6198	812	10	,	,	PUNCT
ejpam-6198	812	11	a.	a.	PROPN
ejpam-6198	812	12	ahmadian	ahmadian	PROPN
ejpam-6198	812	13	,	,	PUNCT
ejpam-6198	812	14	m.	m.	NOUN
ejpam-6198	812	15	salimi	salimi	PROPN
ejpam-6198	812	16	,	,	PUNCT
ejpam-6198	812	17	and	and	CCONJ
ejpam-6198	812	18	m.	m.	NOUN
ejpam-6198	812	19	ferrara	ferrara	NOUN
ejpam-6198	812	20	.	.	PUNCT
ejpam-6198	813	1	heat	heat	NOUN
ejpam-6198	813	2	transfer	transfer	NOUN
ejpam-6198	813	3	analysis	analysis	NOUN
ejpam-6198	813	4	of	of	ADP
ejpam-6198	813	5	channel	channel	NOUN
ejpam-6198	813	6	flow	flow	NOUN
ejpam-6198	813	7	of	of	ADP
ejpam-6198	813	8	mhd	mhd	PROPN
ejpam-6198	813	9	jeffrey	jeffrey	PROPN
ejpam-6198	813	10	fluid	fluid	PROPN
ejpam-6198	813	11	subject	subject	NOUN
ejpam-6198	813	12	to	to	ADP
ejpam-6198	813	13	generalized	generalized	ADJ
ejpam-6198	813	14	boundary	boundary	ADJ
ejpam-6198	813	15	conditions	condition	NOUN
ejpam-6198	813	16	.	.	PUNCT
ejpam-6198	814	1	the	the	DET
ejpam-6198	814	2	european	european	PROPN
ejpam-6198	814	3	physical	physical	PROPN
ejpam-6198	814	4	journal	journal	PROPN
ejpam-6198	814	5	plus	plus	CCONJ
ejpam-6198	814	6	,	,	PUNCT
ejpam-6198	814	7	135(1):26	135(1):26	NUM
ejpam-6198	814	8	,	,	PUNCT
ejpam-6198	814	9	2020	2020	NUM
ejpam-6198	814	10	.	.	PUNCT
ejpam-6198	815	1	[	[	X
ejpam-6198	815	2	40	40	NUM
ejpam-6198	815	3	]	]	PUNCT
ejpam-6198	815	4	m.	m.	PROPN
ejpam-6198	815	5	i.	i.	PROPN
ejpam-6198	815	6	asjad	asjad	PROPN
ejpam-6198	815	7	,	,	PUNCT
ejpam-6198	815	8	m.	m.	NOUN
ejpam-6198	815	9	aleem	aleem	PROPN
ejpam-6198	815	10	,	,	PUNCT
ejpam-6198	815	11	a.	a.	PROPN
ejpam-6198	815	12	ahmadian	ahmadian	PROPN
ejpam-6198	815	13	,	,	PUNCT
ejpam-6198	815	14	s.	s.	PROPN
ejpam-6198	815	15	salahshour	salahshour	PROPN
ejpam-6198	815	16	,	,	PUNCT
ejpam-6198	815	17	and	and	CCONJ
ejpam-6198	815	18	m.	m.	NOUN
ejpam-6198	815	19	ferrara	ferrara	NOUN
ejpam-6198	815	20	.	.	PUNCT
ejpam-6198	816	1	new	new	ADJ
ejpam-6198	816	2	trends	trend	NOUN
ejpam-6198	816	3	of	of	ADP
ejpam-6198	816	4	fractional	fractional	ADJ
ejpam-6198	816	5	modeling	modeling	NOUN
ejpam-6198	816	6	and	and	CCONJ
ejpam-6198	816	7	heat	heat	NOUN
ejpam-6198	816	8	and	and	CCONJ
ejpam-6198	816	9	mass	mass	NOUN
ejpam-6198	816	10	transfer	transfer	NOUN
ejpam-6198	816	11	investigation	investigation	NOUN
ejpam-6198	816	12	of	of	ADP
ejpam-6198	816	13	(	(	PUNCT
ejpam-6198	816	14	swcnts	swcnt	NOUN
ejpam-6198	816	15	and	and	CCONJ
ejpam-6198	816	16	mwcnts)cmc	mwcnts)cmc	PROPN
ejpam-6198	816	17	based	base	VERB
ejpam-6198	816	18	nanofluids	nanofluid	NOUN
ejpam-6198	816	19	flow	flow	VERB
ejpam-6198	816	20	over	over	ADP
ejpam-6198	816	21	inclined	inclined	ADJ
ejpam-6198	816	22	plate	plate	NOUN
ejpam-6198	816	23	with	with	ADP
ejpam-6198	816	24	generalized	generalized	ADJ
ejpam-6198	816	25	boundary	boundary	ADJ
ejpam-6198	816	26	conditions	condition	NOUN
ejpam-6198	816	27	.	.	PUNCT
ejpam-6198	817	1	chinese	chinese	ADJ
ejpam-6198	817	2	journal	journal	PROPN
ejpam-6198	817	3	of	of	ADP
ejpam-6198	817	4	physics	physics	PROPN
ejpam-6198	817	5	,	,	PUNCT
ejpam-6198	817	6	66:497–516	66:497–516	PROPN
ejpam-6198	817	7	,	,	PUNCT
ejpam-6198	817	8	2020	2020	NUM
ejpam-6198	817	9	.	.	PUNCT
ejpam-6198	818	1	[	[	X
ejpam-6198	818	2	41	41	NUM
ejpam-6198	818	3	]	]	X
ejpam-6198	818	4	c.	c.	PROPN
ejpam-6198	818	5	f.	f.	PROPN
ejpam-6198	818	6	lorenzo	lorenzo	PROPN
ejpam-6198	818	7	and	and	CCONJ
ejpam-6198	818	8	t.	t.	PROPN
ejpam-6198	818	9	t.	t.	PROPN
ejpam-6198	818	10	hartley	hartley	PROPN
ejpam-6198	818	11	.	.	PUNCT
ejpam-6198	819	1	generalized	generalized	ADJ
ejpam-6198	819	2	functions	function	NOUN
ejpam-6198	819	3	for	for	ADP
ejpam-6198	819	4	the	the	DET
ejpam-6198	819	5	fractional	fractional	ADJ
ejpam-6198	819	6	calculus	calculus	NOUN
ejpam-6198	819	7	,	,	PUNCT
ejpam-6198	819	8	1999	1999	NUM
ejpam-6198	819	9	.	.	PUNCT
ejpam-6198	820	1	[	[	X
ejpam-6198	820	2	42	42	NUM
ejpam-6198	820	3	]	]	PUNCT
ejpam-6198	820	4	a.	a.	NOUN
ejpam-6198	820	5	mahmood	mahmood	PROPN
ejpam-6198	820	6	,	,	PUNCT
ejpam-6198	820	7	c.	c.	PROPN
ejpam-6198	820	8	fetecau	fetecau	PROPN
ejpam-6198	820	9	,	,	PUNCT
ejpam-6198	820	10	n.	n.	PROPN
ejpam-6198	820	11	a.	a.	PROPN
ejpam-6198	820	12	khan	khan	PROPN
ejpam-6198	820	13	,	,	PUNCT
ejpam-6198	820	14	and	and	CCONJ
ejpam-6198	820	15	m.	m.	PROPN
ejpam-6198	820	16	jamil	jamil	PROPN
ejpam-6198	820	17	.	.	PUNCT
ejpam-6198	821	1	some	some	DET
ejpam-6198	821	2	exact	exact	ADJ
ejpam-6198	821	3	solutions	solution	NOUN
ejpam-6198	821	4	of	of	ADP
ejpam-6198	821	5	the	the	DET
ejpam-6198	821	6	oscillatory	oscillatory	ADJ
ejpam-6198	821	7	motion	motion	NOUN
ejpam-6198	821	8	of	of	ADP
ejpam-6198	821	9	a	a	DET
ejpam-6198	821	10	generalized	generalized	ADJ
ejpam-6198	821	11	second	second	ADJ
ejpam-6198	821	12	grade	grade	NOUN
ejpam-6198	821	13	fluid	fluid	NOUN
ejpam-6198	821	14	in	in	ADP
ejpam-6198	821	15	an	an	DET
ejpam-6198	821	16	annular	annular	ADJ
ejpam-6198	821	17	region	region	NOUN
ejpam-6198	821	18	of	of	ADP
ejpam-6198	821	19	two	two	NUM
ejpam-6198	821	20	m.	m.	NOUN
ejpam-6198	821	21	zafarullah	zafarullah	PROPN
ejpam-6198	821	22	et	et	PROPN
ejpam-6198	821	23	al	al	PROPN
ejpam-6198	821	24	.	.	PUNCT
ejpam-6198	821	25	/	/	SYM
ejpam-6198	821	26	eur	eur	PROPN
ejpam-6198	821	27	.	.	PUNCT
ejpam-6198	822	1	j.	j.	PROPN
ejpam-6198	822	2	pure	pure	PROPN
ejpam-6198	822	3	appl	appl	PROPN
ejpam-6198	822	4	.	.	PROPN
ejpam-6198	822	5	math	math	PROPN
ejpam-6198	822	6	,	,	PUNCT
ejpam-6198	822	7	18	18	NUM
ejpam-6198	822	8	(	(	PUNCT
ejpam-6198	822	9	4	4	NUM
ejpam-6198	822	10	)	)	PUNCT
ejpam-6198	822	11	(	(	PUNCT
ejpam-6198	822	12	2025	2025	NUM
ejpam-6198	822	13	)	)	PUNCT
ejpam-6198	822	14	,	,	PUNCT
ejpam-6198	822	15	6198	6198	NUM
ejpam-6198	822	16	41	41	NUM
ejpam-6198	822	17	of	of	ADP
ejpam-6198	822	18	41	41	NUM
ejpam-6198	822	19	cylinders	cylinder	NOUN
ejpam-6198	822	20	.	.	PUNCT
ejpam-6198	823	1	acta	acta	PROPN
ejpam-6198	823	2	mechanica	mechanica	PROPN
ejpam-6198	823	3	sinica	sinica	PROPN
ejpam-6198	823	4	,	,	PUNCT
ejpam-6198	823	5	26:541–550	26:541–550	PROPN
ejpam-6198	823	6	,	,	PUNCT
ejpam-6198	823	7	2010	2010	NUM
ejpam-6198	823	8	.	.	PUNCT
ejpam-6198	824	1	[	[	X
ejpam-6198	824	2	43	43	NUM
ejpam-6198	824	3	]	]	X
ejpam-6198	824	4	w.	w.	PROPN
ejpam-6198	824	5	akhtar	akhtar	PROPN
ejpam-6198	824	6	,	,	PUNCT
ejpam-6198	824	7	i.	i.	PROPN
ejpam-6198	824	8	siddique	siddique	PROPN
ejpam-6198	824	9	,	,	PUNCT
ejpam-6198	824	10	and	and	CCONJ
ejpam-6198	824	11	a.	a.	NOUN
ejpam-6198	824	12	sohail	sohail	PROPN
ejpam-6198	824	13	.	.	PUNCT
ejpam-6198	825	1	exact	exact	ADJ
ejpam-6198	825	2	solutions	solution	NOUN
ejpam-6198	825	3	for	for	ADP
ejpam-6198	825	4	the	the	DET
ejpam-6198	825	5	rotational	rotational	ADJ
ejpam-6198	825	6	flow	flow	NOUN
ejpam-6198	825	7	of	of	ADP
ejpam-6198	825	8	a	a	DET
ejpam-6198	825	9	generalized	generalized	ADJ
ejpam-6198	825	10	maxwell	maxwell	NOUN
ejpam-6198	825	11	fluid	fluid	NOUN
ejpam-6198	825	12	between	between	ADP
ejpam-6198	825	13	two	two	NUM
ejpam-6198	825	14	circular	circular	ADJ
ejpam-6198	825	15	cylinders	cylinder	NOUN
ejpam-6198	825	16	.	.	PUNCT
ejpam-6198	826	1	communications	communication	NOUN
ejpam-6198	826	2	in	in	ADP
ejpam-6198	826	3	nonlinear	nonlinear	ADJ
ejpam-6198	826	4	science	science	NOUN
ejpam-6198	826	5	and	and	CCONJ
ejpam-6198	826	6	numerical	numerical	PROPN
ejpam-6198	826	7	simulation	simulation	PROPN
ejpam-6198	826	8	,	,	PUNCT
ejpam-6198	826	9	16(7):2788–2795	16(7):2788–2795	NUM
ejpam-6198	826	10	,	,	PUNCT
ejpam-6198	826	11	2011	2011	NUM
ejpam-6198	826	12	.	.	PUNCT
ejpam-6198	827	1	[	[	X
ejpam-6198	827	2	44	44	NUM
ejpam-6198	827	3	]	]	PUNCT
ejpam-6198	827	4	a.	a.	NOUN
ejpam-6198	827	5	mahmood	mahmood	PROPN
ejpam-6198	827	6	,	,	PUNCT
ejpam-6198	827	7	s.	s.	PROPN
ejpam-6198	827	8	parveen	parveen	PROPN
ejpam-6198	827	9	,	,	PUNCT
ejpam-6198	827	10	and	and	CCONJ
ejpam-6198	827	11	n.	n.	PROPN
ejpam-6198	827	12	a.	a.	PROPN
ejpam-6198	827	13	khan	khan	PROPN
ejpam-6198	827	14	.	.	PUNCT
ejpam-6198	828	1	exact	exact	ADJ
ejpam-6198	828	2	solutions	solution	NOUN
ejpam-6198	828	3	for	for	ADP
ejpam-6198	828	4	the	the	DET
ejpam-6198	828	5	flow	flow	NOUN
ejpam-6198	828	6	of	of	ADP
ejpam-6198	828	7	second	second	ADJ
ejpam-6198	828	8	grade	grade	NOUN
ejpam-6198	828	9	fluid	fluid	NOUN
ejpam-6198	828	10	in	in	ADP
ejpam-6198	828	11	annulus	annulus	NOUN
ejpam-6198	828	12	between	between	ADP
ejpam-6198	828	13	torsionally	torsionally	ADV
ejpam-6198	828	14	oscillating	oscillate	VERB
ejpam-6198	828	15	cylinders	cylinder	NOUN
ejpam-6198	828	16	.	.	PUNCT
ejpam-6198	829	1	acta	acta	PROPN
ejpam-6198	829	2	mechanica	mechanica	PROPN
ejpam-6198	829	3	sinica	sinica	PROPN
ejpam-6198	829	4	,	,	PUNCT
ejpam-6198	829	5	27:222–227	27:222–227	PROPN
ejpam-6198	829	6	,	,	PUNCT
ejpam-6198	829	7	2011	2011	NUM
ejpam-6198	829	8	.	.	PUNCT
ejpam-6198	830	1	[	[	X
ejpam-6198	830	2	45	45	NUM
ejpam-6198	830	3	]	]	PUNCT
ejpam-6198	830	4	a.	a.	NOUN
ejpam-6198	830	5	u.	u.	PROPN
ejpam-6198	830	6	awan	awan	PROPN
ejpam-6198	830	7	,	,	PUNCT
ejpam-6198	830	8	m.	m.	NOUN
ejpam-6198	830	9	imran	imran	PROPN
ejpam-6198	830	10	,	,	PUNCT
ejpam-6198	830	11	m.	m.	NOUN
ejpam-6198	830	12	athar	athar	PROPN
ejpam-6198	830	13	,	,	PUNCT
ejpam-6198	830	14	and	and	CCONJ
ejpam-6198	830	15	m.	m.	PROPN
ejpam-6198	830	16	kamran	kamran	PROPN
ejpam-6198	830	17	.	.	PUNCT
ejpam-6198	831	1	exact	exact	ADJ
ejpam-6198	831	2	analytical	analytical	ADJ
ejpam-6198	831	3	solutions	solution	NOUN
ejpam-6198	831	4	for	for	ADP
ejpam-6198	831	5	a	a	DET
ejpam-6198	831	6	longitudinal	longitudinal	ADJ
ejpam-6198	831	7	flow	flow	NOUN
ejpam-6198	831	8	of	of	ADP
ejpam-6198	831	9	a	a	DET
ejpam-6198	831	10	fractional	fractional	ADJ
ejpam-6198	831	11	maxwell	maxwell	NOUN
ejpam-6198	831	12	fluid	fluid	NOUN
ejpam-6198	831	13	between	between	ADP
ejpam-6198	831	14	two	two	NUM
ejpam-6198	831	15	coaxial	coaxial	ADJ
ejpam-6198	831	16	cylinders	cylinder	NOUN
ejpam-6198	831	17	.	.	PUNCT
ejpam-6198	832	1	punjab	punjab	PROPN
ejpam-6198	832	2	university	university	PROPN
ejpam-6198	832	3	journal	journal	NOUN
ejpam-6198	832	4	of	of	ADP
ejpam-6198	832	5	mathematics	mathematics	PROPN
ejpam-6198	832	6	,	,	PUNCT
ejpam-6198	832	7	45(1	45(1	NOUN
ejpam-6198	832	8	)	)	PUNCT
ejpam-6198	832	9	,	,	PUNCT
ejpam-6198	832	10	2020	2020	NUM
ejpam-6198	832	11	.	.	PUNCT