id	sid	tid	token	lemma	pos
ejpam-3426	1	1	european	european	PROPN
ejpam-3426	1	2	journal	journal	PROPN
ejpam-3426	1	3	of	of	ADP
ejpam-3426	1	4	pure	pure	ADJ
ejpam-3426	1	5	and	and	CCONJ
ejpam-3426	1	6	applied	apply	VERB
ejpam-3426	1	7	mathematics	mathematic	NOUN
ejpam-3426	1	8	vol	vol	NOUN
ejpam-3426	1	9	.	.	PROPN
ejpam-3426	2	1	12	12	NUM
ejpam-3426	2	2	,	,	PUNCT
ejpam-3426	2	3	no	no	INTJ
ejpam-3426	2	4	.	.	NOUN
ejpam-3426	2	5	3	3	NUM
ejpam-3426	2	6	,	,	PUNCT
ejpam-3426	2	7	2019	2019	NUM
ejpam-3426	2	8	,	,	PUNCT
ejpam-3426	2	9	1149	1149	NUM
ejpam-3426	2	10	-	-	SYM
ejpam-3426	2	11	1175	1175	NUM
ejpam-3426	2	12	issn	issn	PROPN
ejpam-3426	2	13	1307	1307	NUM
ejpam-3426	2	14	-	-	SYM
ejpam-3426	2	15	5543	5543	NUM
ejpam-3426	2	16	–	–	PUNCT
ejpam-3426	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3426	2	18	published	publish	VERB
ejpam-3426	2	19	by	by	ADP
ejpam-3426	2	20	new	new	PROPN
ejpam-3426	2	21	york	york	PROPN
ejpam-3426	2	22	business	business	PROPN
ejpam-3426	2	23	global	global	PROPN
ejpam-3426	2	24	mhd	mhd	PROPN
ejpam-3426	2	25	flows	flow	NOUN
ejpam-3426	2	26	of	of	ADP
ejpam-3426	2	27	second	second	ADJ
ejpam-3426	2	28	grade	grade	NOUN
ejpam-3426	2	29	fluid	fluid	NOUN
ejpam-3426	2	30	through	through	ADP
ejpam-3426	2	31	the	the	DET
ejpam-3426	2	32	moving	move	VERB
ejpam-3426	2	33	porous	porous	ADJ
ejpam-3426	2	34	cylindrical	cylindrical	ADJ
ejpam-3426	2	35	domain	domain	NOUN
ejpam-3426	2	36	muhammad	muhammad	PROPN
ejpam-3426	2	37	jamil1,∗	jamil1,∗	PROPN
ejpam-3426	2	38	,	,	PUNCT
ejpam-3426	2	39	muhammad	muhammad	PROPN
ejpam-3426	2	40	zafarullah1,2	zafarullah1,2	PROPN
ejpam-3426	2	41	1	1	NUM
ejpam-3426	2	42	department	department	NOUN
ejpam-3426	2	43	of	of	ADP
ejpam-3426	2	44	mathematics	mathematic	NOUN
ejpam-3426	2	45	,	,	PUNCT
ejpam-3426	2	46	ned	ned	PROPN
ejpam-3426	2	47	university	university	PROPN
ejpam-3426	2	48	of	of	ADP
ejpam-3426	2	49	engineering	engineering	PROPN
ejpam-3426	2	50	&	&	CCONJ
ejpam-3426	2	51	technology	technology	PROPN
ejpam-3426	2	52	,	,	PUNCT
ejpam-3426	2	53	karachi-75270	karachi-75270	INTJ
ejpam-3426	2	54	,	,	PUNCT
ejpam-3426	2	55	pakistan	pakistan	PROPN
ejpam-3426	2	56	2	2	NUM
ejpam-3426	2	57	department	department	NOUN
ejpam-3426	2	58	of	of	ADP
ejpam-3426	2	59	mathematics	mathematic	NOUN
ejpam-3426	2	60	,	,	PUNCT
ejpam-3426	2	61	dj	dj	NOUN
ejpam-3426	2	62	sindh	sindh	PROPN
ejpam-3426	2	63	govt	govt	PROPN
ejpam-3426	2	64	.	.	PUNCT
ejpam-3426	3	1	science	science	PROPN
ejpam-3426	3	2	college	college	PROPN
ejpam-3426	3	3	,	,	PUNCT
ejpam-3426	3	4	karachi	karachi	PROPN
ejpam-3426	3	5	,	,	PUNCT
ejpam-3426	3	6	pakistan	pakistan	PROPN
ejpam-3426	3	7	abstract	abstract	NOUN
ejpam-3426	3	8	.	.	PUNCT
ejpam-3426	4	1	the	the	DET
ejpam-3426	4	2	flows	flow	NOUN
ejpam-3426	4	3	of	of	ADP
ejpam-3426	4	4	magnetohydrodynamics(mhd	magnetohydrodynamics(mhd	NOUN
ejpam-3426	4	5	)	)	PUNCT
ejpam-3426	4	6	second	second	ADJ
ejpam-3426	4	7	grade	grade	NOUN
ejpam-3426	4	8	fluid	fluid	NOUN
ejpam-3426	4	9	between	between	ADP
ejpam-3426	4	10	two	two	NUM
ejpam-3426	4	11	infinite	infinite	ADJ
ejpam-3426	4	12	porous	porous	ADJ
ejpam-3426	4	13	coaxial	coaxial	ADJ
ejpam-3426	4	14	circular	circular	ADJ
ejpam-3426	4	15	cylinders	cylinder	NOUN
ejpam-3426	4	16	are	be	AUX
ejpam-3426	4	17	studied	study	VERB
ejpam-3426	4	18	.	.	PUNCT
ejpam-3426	5	1	at	at	ADP
ejpam-3426	5	2	time	time	NOUN
ejpam-3426	5	3	t	t	NOUN
ejpam-3426	5	4	=	=	PUNCT
ejpam-3426	5	5	0	0	NUM
ejpam-3426	5	6	+	+	ADJ
ejpam-3426	5	7	,	,	PUNCT
ejpam-3426	5	8	the	the	DET
ejpam-3426	5	9	inner	inner	ADJ
ejpam-3426	5	10	cylinder	cylinder	NOUN
ejpam-3426	5	11	begins	begin	VERB
ejpam-3426	5	12	to	to	PART
ejpam-3426	5	13	rotate	rotate	VERB
ejpam-3426	5	14	around	around	ADP
ejpam-3426	5	15	its	its	PRON
ejpam-3426	5	16	axis	axis	NOUN
ejpam-3426	5	17	and	and	CCONJ
ejpam-3426	5	18	to	to	PART
ejpam-3426	5	19	slide	slide	VERB
ejpam-3426	5	20	along	along	ADP
ejpam-3426	5	21	the	the	DET
ejpam-3426	5	22	same	same	ADJ
ejpam-3426	5	23	axis	axis	NOUN
ejpam-3426	5	24	due	due	ADP
ejpam-3426	5	25	to	to	ADP
ejpam-3426	5	26	torsional	torsional	ADJ
ejpam-3426	5	27	and	and	CCONJ
ejpam-3426	5	28	longitudinal	longitudinal	ADJ
ejpam-3426	5	29	time	time	NOUN
ejpam-3426	5	30	dependent	dependent	ADJ
ejpam-3426	5	31	shear	shear	NOUN
ejpam-3426	5	32	stresses	stress	NOUN
ejpam-3426	5	33	and	and	CCONJ
ejpam-3426	5	34	the	the	DET
ejpam-3426	5	35	outer	outer	ADJ
ejpam-3426	5	36	cylinder	cylinder	NOUN
ejpam-3426	5	37	is	be	AUX
ejpam-3426	5	38	also	also	ADV
ejpam-3426	5	39	rotate	rotate	VERB
ejpam-3426	5	40	around	around	ADP
ejpam-3426	5	41	its	its	PRON
ejpam-3426	5	42	axis	axis	NOUN
ejpam-3426	5	43	and	and	CCONJ
ejpam-3426	5	44	to	to	PART
ejpam-3426	5	45	slide	slide	VERB
ejpam-3426	5	46	along	along	ADP
ejpam-3426	5	47	the	the	DET
ejpam-3426	5	48	same	same	ADJ
ejpam-3426	5	49	axis	axis	NOUN
ejpam-3426	5	50	with	with	ADP
ejpam-3426	5	51	acceleration	acceleration	NOUN
ejpam-3426	5	52	.	.	PUNCT
ejpam-3426	6	1	the	the	DET
ejpam-3426	6	2	exact	exact	ADJ
ejpam-3426	6	3	solutions	solution	NOUN
ejpam-3426	6	4	obtained	obtain	VERB
ejpam-3426	6	5	with	with	ADP
ejpam-3426	6	6	the	the	DET
ejpam-3426	6	7	help	help	NOUN
ejpam-3426	6	8	of	of	ADP
ejpam-3426	6	9	discrete	discrete	ADJ
ejpam-3426	6	10	laplace	laplace	NOUN
ejpam-3426	6	11	and	and	CCONJ
ejpam-3426	6	12	finite	finite	VERB
ejpam-3426	6	13	hankel	hankel	NOUN
ejpam-3426	6	14	transform	transform	NOUN
ejpam-3426	6	15	,	,	PUNCT
ejpam-3426	6	16	satisfy	satisfy	VERB
ejpam-3426	6	17	all	all	DET
ejpam-3426	6	18	imposed	impose	VERB
ejpam-3426	6	19	initial	initial	ADJ
ejpam-3426	6	20	and	and	CCONJ
ejpam-3426	6	21	boundary	boundary	ADJ
ejpam-3426	6	22	conditions	condition	NOUN
ejpam-3426	6	23	.	.	PUNCT
ejpam-3426	7	1	the	the	DET
ejpam-3426	7	2	solution	solution	NOUN
ejpam-3426	7	3	presented	present	VERB
ejpam-3426	7	4	in	in	ADP
ejpam-3426	7	5	convolution	convolution	NOUN
ejpam-3426	7	6	product	product	NOUN
ejpam-3426	7	7	of	of	ADP
ejpam-3426	7	8	laplace	laplace	NOUN
ejpam-3426	7	9	transform	transform	NOUN
ejpam-3426	7	10	.	.	PUNCT
ejpam-3426	8	1	the	the	DET
ejpam-3426	8	2	corresponding	correspond	VERB
ejpam-3426	8	3	solutions	solution	NOUN
ejpam-3426	8	4	for	for	ADP
ejpam-3426	8	5	second	second	ADJ
ejpam-3426	8	6	grade	grade	NOUN
ejpam-3426	8	7	and	and	CCONJ
ejpam-3426	8	8	newtonian	newtonian	ADJ
ejpam-3426	8	9	fluids	fluid	NOUN
ejpam-3426	8	10	are	be	AUX
ejpam-3426	8	11	also	also	ADV
ejpam-3426	8	12	obtained	obtain	VERB
ejpam-3426	8	13	as	as	ADP
ejpam-3426	8	14	limiting	limit	VERB
ejpam-3426	8	15	cases	case	NOUN
ejpam-3426	8	16	with	with	ADP
ejpam-3426	8	17	and	and	CCONJ
ejpam-3426	8	18	without	without	ADP
ejpam-3426	8	19	mhd	mhd	NOUN
ejpam-3426	8	20	effect	effect	NOUN
ejpam-3426	8	21	.	.	PUNCT
ejpam-3426	9	1	finally	finally	ADV
ejpam-3426	9	2	,	,	PUNCT
ejpam-3426	9	3	the	the	DET
ejpam-3426	9	4	influence	influence	NOUN
ejpam-3426	9	5	of	of	ADP
ejpam-3426	9	6	pertinent	pertinent	ADJ
ejpam-3426	9	7	parameters	parameter	NOUN
ejpam-3426	9	8	on	on	ADP
ejpam-3426	9	9	the	the	DET
ejpam-3426	9	10	velocity	velocity	NOUN
ejpam-3426	9	11	components	component	NOUN
ejpam-3426	9	12	and	and	CCONJ
ejpam-3426	9	13	shear	shear	NOUN
ejpam-3426	9	14	stresses	stress	NOUN
ejpam-3426	9	15	,	,	PUNCT
ejpam-3426	9	16	as	as	ADV
ejpam-3426	9	17	well	well	ADV
ejpam-3426	9	18	as	as	ADP
ejpam-3426	9	19	a	a	DET
ejpam-3426	9	20	comparison	comparison	NOUN
ejpam-3426	9	21	among	among	ADP
ejpam-3426	9	22	,	,	PUNCT
ejpam-3426	9	23	second	second	ADJ
ejpam-3426	9	24	grade	grade	NOUN
ejpam-3426	9	25	and	and	CCONJ
ejpam-3426	9	26	newtonian	newtonian	ADJ
ejpam-3426	9	27	fluids	fluid	NOUN
ejpam-3426	9	28	with	with	ADP
ejpam-3426	9	29	and	and	CCONJ
ejpam-3426	9	30	without	without	ADP
ejpam-3426	9	31	mhd	mhd	PROPN
ejpam-3426	9	32	is	be	AUX
ejpam-3426	9	33	also	also	ADV
ejpam-3426	9	34	analyzed	analyze	VERB
ejpam-3426	9	35	by	by	ADP
ejpam-3426	9	36	graphical	graphical	ADJ
ejpam-3426	9	37	illustrations	illustration	NOUN
ejpam-3426	9	38	.	.	PUNCT
ejpam-3426	10	1	2010	2010	NUM
ejpam-3426	10	2	mathematics	mathematic	NOUN
ejpam-3426	10	3	subject	subject	NOUN
ejpam-3426	10	4	classifications	classification	NOUN
ejpam-3426	10	5	:	:	PUNCT
ejpam-3426	10	6	76a05	76a05	NUM
ejpam-3426	10	7	,	,	PUNCT
ejpam-3426	10	8	76a10	76a10	NUM
ejpam-3426	10	9	key	key	ADJ
ejpam-3426	10	10	words	word	NOUN
ejpam-3426	10	11	and	and	CCONJ
ejpam-3426	10	12	phrases	phrase	NOUN
ejpam-3426	10	13	:	:	PUNCT
ejpam-3426	10	14	second	second	ADJ
ejpam-3426	10	15	grade	grade	NOUN
ejpam-3426	10	16	fluid	fluid	NOUN
ejpam-3426	10	17	,	,	PUNCT
ejpam-3426	10	18	mhd	mhd	NOUN
ejpam-3426	10	19	flows	flow	NOUN
ejpam-3426	10	20	,	,	PUNCT
ejpam-3426	10	21	velocity	velocity	NOUN
ejpam-3426	10	22	field	field	NOUN
ejpam-3426	10	23	,	,	PUNCT
ejpam-3426	10	24	time	time	NOUN
ejpam-3426	10	25	-	-	PUNCT
ejpam-3426	10	26	dependent	dependent	ADJ
ejpam-3426	10	27	shear	shear	NOUN
ejpam-3426	10	28	stresses	stress	NOUN
ejpam-3426	10	29	,	,	PUNCT
ejpam-3426	10	30	hankel	hankel	NOUN
ejpam-3426	10	31	transform	transform	VERB
ejpam-3426	10	32	1	1	NUM
ejpam-3426	10	33	.	.	PUNCT
ejpam-3426	11	1	introduction	introduction	NOUN
ejpam-3426	11	2	now	now	ADV
ejpam-3426	11	3	-	-	PUNCT
ejpam-3426	11	4	a	a	DET
ejpam-3426	11	5	-	-	PUNCT
ejpam-3426	11	6	days	day	NOUN
ejpam-3426	11	7	,	,	PUNCT
ejpam-3426	11	8	the	the	DET
ejpam-3426	11	9	non	non	ADJ
ejpam-3426	11	10	-	-	ADJ
ejpam-3426	11	11	newtonian	newtonian	ADJ
ejpam-3426	11	12	fluids	fluid	NOUN
ejpam-3426	11	13	are	be	AUX
ejpam-3426	11	14	more	more	ADV
ejpam-3426	11	15	important	important	ADJ
ejpam-3426	11	16	and	and	CCONJ
ejpam-3426	11	17	significant	significant	ADJ
ejpam-3426	11	18	in	in	ADP
ejpam-3426	11	19	science	science	NOUN
ejpam-3426	11	20	and	and	CCONJ
ejpam-3426	11	21	technological	technological	ADJ
ejpam-3426	11	22	applications	application	NOUN
ejpam-3426	11	23	than	than	ADP
ejpam-3426	11	24	the	the	DET
ejpam-3426	11	25	newtonian	newtonian	ADJ
ejpam-3426	11	26	fluids	fluid	NOUN
ejpam-3426	11	27	.	.	PUNCT
ejpam-3426	12	1	in	in	ADP
ejpam-3426	12	2	several	several	ADJ
ejpam-3426	12	3	sectors	sector	NOUN
ejpam-3426	12	4	,	,	PUNCT
ejpam-3426	12	5	like	like	SCONJ
ejpam-3426	12	6	polymer	polymer	NOUN
ejpam-3426	12	7	and	and	CCONJ
ejpam-3426	12	8	petroleum	petroleum	NOUN
ejpam-3426	12	9	,	,	PUNCT
ejpam-3426	12	10	food	food	NOUN
ejpam-3426	12	11	and	and	CCONJ
ejpam-3426	12	12	agriculture	agriculture	NOUN
ejpam-3426	12	13	,	,	PUNCT
ejpam-3426	12	14	chemical	chemical	NOUN
ejpam-3426	12	15	and	and	CCONJ
ejpam-3426	12	16	manufacturing	manufacturing	NOUN
ejpam-3426	12	17	,	,	PUNCT
ejpam-3426	12	18	pharmaceutical	pharmaceutical	NOUN
ejpam-3426	12	19	and	and	CCONJ
ejpam-3426	12	20	biotechnology	biotechnology	NOUN
ejpam-3426	12	21	industries	industry	NOUN
ejpam-3426	12	22	non	non	ADJ
ejpam-3426	12	23	-	-	ADJ
ejpam-3426	12	24	newtonian	newtonian	ADJ
ejpam-3426	12	25	fluids	fluid	NOUN
ejpam-3426	12	26	are	be	AUX
ejpam-3426	12	27	more	more	ADV
ejpam-3426	12	28	important	important	ADJ
ejpam-3426	12	29	,	,	PUNCT
ejpam-3426	12	30	the	the	DET
ejpam-3426	12	31	fluids	fluid	NOUN
ejpam-3426	12	32	are	be	AUX
ejpam-3426	12	33	the	the	DET
ejpam-3426	12	34	solution	solution	NOUN
ejpam-3426	12	35	of	of	ADP
ejpam-3426	12	36	either	either	CCONJ
ejpam-3426	12	37	artificial	artificial	ADJ
ejpam-3426	12	38	or	or	CCONJ
ejpam-3426	12	39	natural	natural	ADJ
ejpam-3426	12	40	material	material	NOUN
ejpam-3426	12	41	with	with	ADP
ejpam-3426	12	42	other	other	ADJ
ejpam-3426	12	43	newtonian	newtonian	ADJ
ejpam-3426	12	44	fluids	fluid	NOUN
ejpam-3426	12	45	as	as	ADP
ejpam-3426	12	46	water	water	NOUN
ejpam-3426	12	47	,	,	PUNCT
ejpam-3426	12	48	oils	oil	NOUN
ejpam-3426	12	49	,	,	PUNCT
ejpam-3426	12	50	red	red	ADJ
ejpam-3426	12	51	cells	cell	NOUN
ejpam-3426	12	52	and	and	CCONJ
ejpam-3426	12	53	different	different	ADJ
ejpam-3426	12	54	substances	substance	NOUN
ejpam-3426	12	55	having	have	VERB
ejpam-3426	12	56	long	long	ADJ
ejpam-3426	12	57	chain	chain	NOUN
ejpam-3426	12	58	molecules	molecule	NOUN
ejpam-3426	12	59	;	;	PUNCT
ejpam-3426	12	60	the	the	DET
ejpam-3426	12	61	resulting	result	VERB
ejpam-3426	12	62	fluids	fluid	NOUN
ejpam-3426	12	63	have	have	VERB
ejpam-3426	12	64	the	the	DET
ejpam-3426	12	65	non	non	ADJ
ejpam-3426	12	66	-	-	ADJ
ejpam-3426	12	67	newtonian	newtonian	ADJ
ejpam-3426	12	68	features	feature	NOUN
ejpam-3426	12	69	[	[	X
ejpam-3426	12	70	5	5	NUM
ejpam-3426	12	71	,	,	PUNCT
ejpam-3426	12	72	6	6	NUM
ejpam-3426	12	73	,	,	PUNCT
ejpam-3426	12	74	10	10	NUM
ejpam-3426	12	75	,	,	PUNCT
ejpam-3426	12	76	16	16	NUM
ejpam-3426	12	77	,	,	PUNCT
ejpam-3426	12	78	18	18	NUM
ejpam-3426	12	79	,	,	PUNCT
ejpam-3426	12	80	20	20	NUM
ejpam-3426	12	81	]	]	PUNCT
ejpam-3426	12	82	.	.	PUNCT
ejpam-3426	13	1	there	there	PRON
ejpam-3426	13	2	are	be	VERB
ejpam-3426	13	3	three	three	NUM
ejpam-3426	13	4	famous	famous	ADJ
ejpam-3426	13	5	solution	solution	NOUN
ejpam-3426	13	6	other	other	ADJ
ejpam-3426	13	7	than	than	ADP
ejpam-3426	13	8	exact	exact	ADJ
ejpam-3426	13	9	solutions	solution	NOUN
ejpam-3426	13	10	,	,	PUNCT
ejpam-3426	13	11	can	can	AUX
ejpam-3426	13	12	be	be	AUX
ejpam-3426	13	13	applicable	applicable	ADJ
ejpam-3426	13	14	,	,	PUNCT
ejpam-3426	13	15	those	those	PRON
ejpam-3426	13	16	are	be	AUX
ejpam-3426	13	17	analytical	analytical	ADJ
ejpam-3426	13	18	solutions	solution	NOUN
ejpam-3426	13	19	,	,	PUNCT
ejpam-3426	13	20	numerical	numerical	ADJ
ejpam-3426	13	21	solutions	solution	NOUN
ejpam-3426	13	22	∗corresponding	∗corresponde	VERB
ejpam-3426	13	23	author	author	NOUN
ejpam-3426	13	24	.	.	PUNCT
ejpam-3426	14	1	doi	doi	NOUN
ejpam-3426	14	2	:	:	PUNCT
ejpam-3426	14	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3426	https://doi.org/10.29020/nybg.ejpam.v12i3.3426	PROPN
ejpam-3426	14	4	email	email	NOUN
ejpam-3426	14	5	addresses	address	NOUN
ejpam-3426	14	6	:	:	PUNCT
ejpam-3426	15	1	jqrza26@yahoo.com	jqrza26@yahoo.com	PROPN
ejpam-3426	15	2	(	(	PUNCT
ejpam-3426	15	3	m.	m.	NOUN
ejpam-3426	15	4	jamil	jamil	PROPN
ejpam-3426	15	5	)	)	PUNCT
ejpam-3426	15	6	,	,	PUNCT
ejpam-3426	15	7	muhammad.zafarullah@gmail.com	muhammad.zafarullah@gmail.com	X
ejpam-3426	15	8	(	(	PUNCT
ejpam-3426	15	9	m.	m.	NOUN
ejpam-3426	15	10	zafarullah	zafarullah	PROPN
ejpam-3426	15	11	)	)	PUNCT
ejpam-3426	15	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3426	16	1	1149	1149	NUM
ejpam-3426	16	2	c	c	NOUN
ejpam-3426	16	3	©	©	PROPN
ejpam-3426	16	4	2019	2019	NUM
ejpam-3426	16	5	ejpam	ejpam	NOUN
ejpam-3426	16	6	all	all	DET
ejpam-3426	16	7	rights	right	NOUN
ejpam-3426	16	8	reserved	reserve	VERB
ejpam-3426	16	9	.	.	PUNCT
ejpam-3426	17	1	m.	m.	PROPN
ejpam-3426	17	2	jamil	jamil	PROPN
ejpam-3426	17	3	,	,	PUNCT
ejpam-3426	17	4	m.	m.	NOUN
ejpam-3426	17	5	zafarullah	zafarullah	PROPN
ejpam-3426	17	6	/	/	SYM
ejpam-3426	17	7	eur	eur	PROPN
ejpam-3426	17	8	.	.	PUNCT
ejpam-3426	18	1	j.	j.	PROPN
ejpam-3426	18	2	pure	pure	PROPN
ejpam-3426	18	3	appl	appl	PROPN
ejpam-3426	18	4	.	.	PROPN
ejpam-3426	18	5	math	math	PROPN
ejpam-3426	18	6	,	,	PUNCT
ejpam-3426	18	7	12	12	NUM
ejpam-3426	18	8	(	(	PUNCT
ejpam-3426	18	9	3	3	NUM
ejpam-3426	18	10	)	)	PUNCT
ejpam-3426	18	11	(	(	PUNCT
ejpam-3426	18	12	2019	2019	NUM
ejpam-3426	18	13	)	)	PUNCT
ejpam-3426	18	14	,	,	PUNCT
ejpam-3426	18	15	1149	1149	NUM
ejpam-3426	18	16	-	-	SYM
ejpam-3426	18	17	1175	1175	NUM
ejpam-3426	18	18	1150	1150	NUM
ejpam-3426	18	19	and	and	CCONJ
ejpam-3426	18	20	experimental	experimental	ADJ
ejpam-3426	18	21	solutions	solution	NOUN
ejpam-3426	18	22	[	[	X
ejpam-3426	18	23	21	21	NUM
ejpam-3426	18	24	]	]	PUNCT
ejpam-3426	18	25	.	.	PUNCT
ejpam-3426	19	1	analytical	analytical	ADJ
ejpam-3426	19	2	solution	solution	NOUN
ejpam-3426	19	3	is	be	AUX
ejpam-3426	19	4	the	the	DET
ejpam-3426	19	5	general	general	ADJ
ejpam-3426	19	6	information	information	NOUN
ejpam-3426	19	7	and	and	CCONJ
ejpam-3426	19	8	closedform	closedform	NOUN
ejpam-3426	19	9	solution	solution	NOUN
ejpam-3426	19	10	,	,	PUNCT
ejpam-3426	19	11	but	but	CCONJ
ejpam-3426	19	12	it	it	PRON
ejpam-3426	19	13	has	have	VERB
ejpam-3426	19	14	simple	simple	ADJ
ejpam-3426	19	15	geometry	geometry	NOUN
ejpam-3426	19	16	/	/	SYM
ejpam-3426	19	17	physics	physics	NOUN
ejpam-3426	19	18	and	and	CCONJ
ejpam-3426	19	19	it	it	PRON
ejpam-3426	19	20	can	can	AUX
ejpam-3426	19	21	solve	solve	VERB
ejpam-3426	19	22	only	only	ADV
ejpam-3426	19	23	linear	linear	ADJ
ejpam-3426	19	24	problem	problem	NOUN
ejpam-3426	19	25	.	.	PUNCT
ejpam-3426	20	1	numerical	numerical	ADJ
ejpam-3426	20	2	solution	solution	NOUN
ejpam-3426	20	3	is	be	AUX
ejpam-3426	20	4	used	use	VERB
ejpam-3426	20	5	for	for	ADP
ejpam-3426	20	6	complicated	complicated	ADJ
ejpam-3426	20	7	physical	physical	ADJ
ejpam-3426	20	8	and	and	CCONJ
ejpam-3426	20	9	nonlinear	nonlinear	ADJ
ejpam-3426	20	10	problems	problem	NOUN
ejpam-3426	20	11	,	,	PUNCT
ejpam-3426	20	12	but	but	CCONJ
ejpam-3426	20	13	its	its	PRON
ejpam-3426	20	14	main	main	ADJ
ejpam-3426	20	15	disadvantages	disadvantage	NOUN
ejpam-3426	20	16	are	be	AUX
ejpam-3426	20	17	truncation	truncation	NOUN
ejpam-3426	20	18	errors	error	NOUN
ejpam-3426	20	19	and	and	CCONJ
ejpam-3426	20	20	inappropriate	inappropriate	ADJ
ejpam-3426	20	21	modeling	modeling	NOUN
ejpam-3426	20	22	while	while	SCONJ
ejpam-3426	20	23	experimental	experimental	ADJ
ejpam-3426	20	24	solution	solution	NOUN
ejpam-3426	20	25	is	be	AUX
ejpam-3426	20	26	most	most	ADV
ejpam-3426	20	27	realistic	realistic	ADJ
ejpam-3426	20	28	and	and	CCONJ
ejpam-3426	20	29	reliable	reliable	ADJ
ejpam-3426	20	30	but	but	CCONJ
ejpam-3426	20	31	due	due	ADP
ejpam-3426	20	32	to	to	ADP
ejpam-3426	20	33	equipment	equipment	NOUN
ejpam-3426	20	34	/	/	SYM
ejpam-3426	20	35	operation	operation	NOUN
ejpam-3426	20	36	costs	cost	NOUN
ejpam-3426	20	37	,	,	PUNCT
ejpam-3426	20	38	scaling	scale	VERB
ejpam-3426	20	39	problem	problem	NOUN
ejpam-3426	20	40	,	,	PUNCT
ejpam-3426	20	41	measurement	measurement	NOUN
ejpam-3426	20	42	difficulties	difficulty	NOUN
ejpam-3426	20	43	are	be	AUX
ejpam-3426	20	44	not	not	PART
ejpam-3426	20	45	much	much	ADV
ejpam-3426	20	46	appreciated	appreciate	VERB
ejpam-3426	20	47	[	[	X
ejpam-3426	20	48	12–14	12–14	NUM
ejpam-3426	20	49	,	,	PUNCT
ejpam-3426	20	50	17	17	NUM
ejpam-3426	20	51	]	]	PUNCT
ejpam-3426	20	52	.	.	PUNCT
ejpam-3426	21	1	the	the	DET
ejpam-3426	21	2	flow	flow	NOUN
ejpam-3426	21	3	issue	issue	NOUN
ejpam-3426	21	4	in	in	ADP
ejpam-3426	21	5	porous	porous	ADJ
ejpam-3426	21	6	medium	medium	NOUN
ejpam-3426	21	7	like	like	ADP
ejpam-3426	21	8	tube	tube	NOUN
ejpam-3426	21	9	,	,	PUNCT
ejpam-3426	21	10	channel	channel	NOUN
ejpam-3426	21	11	,	,	PUNCT
ejpam-3426	21	12	pipes	pipe	NOUN
ejpam-3426	21	13	and	and	CCONJ
ejpam-3426	21	14	space	space	NOUN
ejpam-3426	21	15	are	be	AUX
ejpam-3426	21	16	considered	consider	VERB
ejpam-3426	21	17	in	in	ADP
ejpam-3426	21	18	many	many	ADJ
ejpam-3426	21	19	research	research	NOUN
ejpam-3426	21	20	literatures	literature	NOUN
ejpam-3426	21	21	but	but	CCONJ
ejpam-3426	21	22	the	the	DET
ejpam-3426	21	23	only	only	ADJ
ejpam-3426	21	24	few	few	ADJ
ejpam-3426	21	25	researcher	researcher	NOUN
ejpam-3426	21	26	used	use	VERB
ejpam-3426	21	27	the	the	DET
ejpam-3426	21	28	porous	porous	ADJ
ejpam-3426	21	29	medium	medium	NOUN
ejpam-3426	21	30	in	in	ADP
ejpam-3426	21	31	the	the	DET
ejpam-3426	21	32	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-3426	21	33	(	(	PUNCT
ejpam-3426	21	34	mhd	mhd	NOUN
ejpam-3426	21	35	)	)	PUNCT
ejpam-3426	21	36	flow	flow	NOUN
ejpam-3426	21	37	of	of	ADP
ejpam-3426	21	38	second	second	ADJ
ejpam-3426	21	39	grade	grade	NOUN
ejpam-3426	21	40	fluid	fluid	NOUN
ejpam-3426	21	41	in	in	ADP
ejpam-3426	21	42	an	an	DET
ejpam-3426	21	43	infinite	infinite	ADJ
ejpam-3426	21	44	cylindrical	cylindrical	ADJ
ejpam-3426	21	45	domain	domain	NOUN
ejpam-3426	21	46	,	,	PUNCT
ejpam-3426	21	47	which	which	PRON
ejpam-3426	21	48	is	be	AUX
ejpam-3426	21	49	much	much	ADV
ejpam-3426	21	50	more	more	ADV
ejpam-3426	21	51	realistic	realistic	ADJ
ejpam-3426	21	52	and	and	CCONJ
ejpam-3426	21	53	interested	interested	ADJ
ejpam-3426	21	54	when	when	SCONJ
ejpam-3426	21	55	the	the	DET
ejpam-3426	21	56	reynold	reynold	NOUN
ejpam-3426	21	57	’s	’s	PART
ejpam-3426	21	58	number	number	NOUN
ejpam-3426	21	59	is	be	AUX
ejpam-3426	21	60	same	same	ADJ
ejpam-3426	21	61	with	with	ADP
ejpam-3426	21	62	any	any	DET
ejpam-3426	21	63	system	system	NOUN
ejpam-3426	21	64	,	,	PUNCT
ejpam-3426	21	65	such	such	ADJ
ejpam-3426	21	66	as	as	ADP
ejpam-3426	21	67	in	in	ADP
ejpam-3426	21	68	blood	blood	NOUN
ejpam-3426	21	69	circulation	circulation	NOUN
ejpam-3426	21	70	,	,	PUNCT
ejpam-3426	21	71	digestive	digestive	ADJ
ejpam-3426	21	72	and	and	CCONJ
ejpam-3426	21	73	urinary	urinary	ADJ
ejpam-3426	21	74	systems	system	NOUN
ejpam-3426	21	75	in	in	ADP
ejpam-3426	21	76	any	any	DET
ejpam-3426	21	77	body	body	NOUN
ejpam-3426	21	78	,	,	PUNCT
ejpam-3426	21	79	water	water	NOUN
ejpam-3426	21	80	and	and	CCONJ
ejpam-3426	21	81	other	other	ADJ
ejpam-3426	21	82	chemical	chemical	ADJ
ejpam-3426	21	83	sewerage	sewerage	NOUN
ejpam-3426	21	84	filtration	filtration	NOUN
ejpam-3426	21	85	and	and	CCONJ
ejpam-3426	21	86	purification	purification	NOUN
ejpam-3426	21	87	plants	plant	NOUN
ejpam-3426	21	88	,	,	PUNCT
ejpam-3426	21	89	underground	underground	ADJ
ejpam-3426	21	90	tube	tube	NOUN
ejpam-3426	21	91	wheel	wheel	NOUN
ejpam-3426	21	92	,	,	PUNCT
ejpam-3426	21	93	mhd	mhd	NOUN
ejpam-3426	21	94	generators	generator	NOUN
ejpam-3426	21	95	for	for	ADP
ejpam-3426	21	96	generating	generate	VERB
ejpam-3426	21	97	electricity	electricity	NOUN
ejpam-3426	21	98	and	and	CCONJ
ejpam-3426	21	99	its	its	PRON
ejpam-3426	21	100	mhd	mhd	NOUN
ejpam-3426	21	101	pumps	pump	NOUN
ejpam-3426	21	102	and	and	CCONJ
ejpam-3426	21	103	other	other	ADJ
ejpam-3426	21	104	engineering	engineering	NOUN
ejpam-3426	21	105	applications	application	NOUN
ejpam-3426	22	1	[	[	X
ejpam-3426	22	2	6–8	6–8	NUM
ejpam-3426	22	3	,	,	PUNCT
ejpam-3426	22	4	10	10	NUM
ejpam-3426	22	5	,	,	PUNCT
ejpam-3426	22	6	12	12	NUM
ejpam-3426	22	7	,	,	PUNCT
ejpam-3426	22	8	16	16	NUM
ejpam-3426	22	9	,	,	PUNCT
ejpam-3426	22	10	18	18	NUM
ejpam-3426	22	11	]	]	PUNCT
ejpam-3426	22	12	.	.	PUNCT
ejpam-3426	23	1	the	the	DET
ejpam-3426	23	2	navier	navier	NOUN
ejpam-3426	23	3	-	-	PUNCT
ejpam-3426	23	4	stokes	stoke	NOUN
ejpam-3426	23	5	equation	equation	NOUN
ejpam-3426	23	6	is	be	AUX
ejpam-3426	23	7	used	use	VERB
ejpam-3426	23	8	to	to	PART
ejpam-3426	23	9	solve	solve	VERB
ejpam-3426	23	10	the	the	DET
ejpam-3426	23	11	problem	problem	NOUN
ejpam-3426	23	12	of	of	ADP
ejpam-3426	23	13	newtonian	newtonian	ADJ
ejpam-3426	23	14	fluid	fluid	NOUN
ejpam-3426	23	15	but	but	CCONJ
ejpam-3426	23	16	the	the	DET
ejpam-3426	23	17	governing	govern	VERB
ejpam-3426	23	18	equations	equation	NOUN
ejpam-3426	23	19	of	of	ADP
ejpam-3426	23	20	non	non	ADJ
ejpam-3426	23	21	-	-	ADJ
ejpam-3426	23	22	newtonian	newtonian	ADJ
ejpam-3426	23	23	fluids	fluid	NOUN
ejpam-3426	23	24	are	be	AUX
ejpam-3426	23	25	more	more	ADV
ejpam-3426	23	26	convoluted	convoluted	ADJ
ejpam-3426	23	27	and	and	CCONJ
ejpam-3426	23	28	having	have	VERB
ejpam-3426	23	29	the	the	DET
ejpam-3426	23	30	higher	high	ADJ
ejpam-3426	23	31	order	order	NOUN
ejpam-3426	23	32	than	than	ADP
ejpam-3426	23	33	the	the	DET
ejpam-3426	23	34	nevier	nevi	ADJ
ejpam-3426	23	35	-	-	PUNCT
ejpam-3426	23	36	stokes	stoke	NOUN
ejpam-3426	23	37	equation	equation	NOUN
ejpam-3426	23	38	for	for	ADP
ejpam-3426	23	39	newtonian	newtonian	ADJ
ejpam-3426	23	40	fluids	fluid	NOUN
ejpam-3426	23	41	,	,	PUNCT
ejpam-3426	23	42	therefore	therefore	ADV
ejpam-3426	23	43	navier	navier	NOUN
ejpam-3426	23	44	-	-	PUNCT
ejpam-3426	23	45	stokes	stoke	NOUN
ejpam-3426	23	46	equations	equation	NOUN
ejpam-3426	23	47	are	be	AUX
ejpam-3426	23	48	inadequate	inadequate	ADJ
ejpam-3426	23	49	and	and	CCONJ
ejpam-3426	23	50	insufficient	insufficient	ADJ
ejpam-3426	23	51	to	to	PART
ejpam-3426	23	52	designate	designate	VERB
ejpam-3426	23	53	their	their	PRON
ejpam-3426	23	54	behavior	behavior	NOUN
ejpam-3426	24	1	[	[	X
ejpam-3426	24	2	1	1	NUM
ejpam-3426	24	3	,	,	PUNCT
ejpam-3426	24	4	4	4	NUM
ejpam-3426	24	5	]	]	PUNCT
ejpam-3426	24	6	,	,	PUNCT
ejpam-3426	24	7	so	so	CCONJ
ejpam-3426	24	8	we	we	PRON
ejpam-3426	24	9	used	use	VERB
ejpam-3426	24	10	some	some	DET
ejpam-3426	24	11	mathematical	mathematical	ADJ
ejpam-3426	24	12	techniques	technique	NOUN
ejpam-3426	24	13	and	and	CCONJ
ejpam-3426	24	14	transforms	transform	VERB
ejpam-3426	24	15	to	to	PART
ejpam-3426	24	16	solve	solve	VERB
ejpam-3426	24	17	the	the	DET
ejpam-3426	24	18	flow	flow	NOUN
ejpam-3426	24	19	problem	problem	NOUN
ejpam-3426	24	20	of	of	ADP
ejpam-3426	24	21	the	the	DET
ejpam-3426	24	22	non	non	ADJ
ejpam-3426	24	23	-	-	ADJ
ejpam-3426	24	24	newtonian	newtonian	ADJ
ejpam-3426	24	25	fluid	fluid	NOUN
ejpam-3426	24	26	.	.	PUNCT
ejpam-3426	25	1	in	in	ADP
ejpam-3426	25	2	cylindrical	cylindrical	ADJ
ejpam-3426	25	3	domain	domain	NOUN
ejpam-3426	25	4	,	,	PUNCT
ejpam-3426	25	5	the	the	DET
ejpam-3426	25	6	hankel	hankel	NOUN
ejpam-3426	25	7	and	and	CCONJ
ejpam-3426	25	8	laplace	laplace	NOUN
ejpam-3426	25	9	transform	transform	NOUN
ejpam-3426	25	10	are	be	AUX
ejpam-3426	25	11	the	the	DET
ejpam-3426	25	12	one	one	NUM
ejpam-3426	25	13	of	of	ADP
ejpam-3426	25	14	the	the	DET
ejpam-3426	25	15	best	good	ADJ
ejpam-3426	25	16	transform	transform	NOUN
ejpam-3426	25	17	to	to	PART
ejpam-3426	25	18	determine	determine	VERB
ejpam-3426	25	19	the	the	DET
ejpam-3426	25	20	exact	exact	ADJ
ejpam-3426	25	21	or	or	CCONJ
ejpam-3426	25	22	analytical	analytical	ADJ
ejpam-3426	25	23	solution	solution	NOUN
ejpam-3426	25	24	[	[	X
ejpam-3426	25	25	6	6	NUM
ejpam-3426	25	26	,	,	PUNCT
ejpam-3426	25	27	9	9	NUM
ejpam-3426	25	28	,	,	PUNCT
ejpam-3426	25	29	10	10	NUM
ejpam-3426	25	30	,	,	PUNCT
ejpam-3426	25	31	12	12	NUM
ejpam-3426	25	32	,	,	PUNCT
ejpam-3426	25	33	16	16	NUM
ejpam-3426	25	34	]	]	PUNCT
ejpam-3426	25	35	.	.	PUNCT
ejpam-3426	26	1	the	the	DET
ejpam-3426	26	2	objective	objective	NOUN
ejpam-3426	26	3	of	of	ADP
ejpam-3426	26	4	this	this	DET
ejpam-3426	26	5	paper	paper	NOUN
ejpam-3426	26	6	is	be	AUX
ejpam-3426	26	7	to	to	PART
ejpam-3426	26	8	extend	extend	VERB
ejpam-3426	26	9	the	the	DET
ejpam-3426	26	10	concepts	concept	NOUN
ejpam-3426	26	11	of	of	ADP
ejpam-3426	26	12	boundary	boundary	ADJ
ejpam-3426	26	13	conditions	condition	NOUN
ejpam-3426	26	14	and	and	CCONJ
ejpam-3426	26	15	identities	identity	NOUN
ejpam-3426	26	16	of	of	ADP
ejpam-3426	26	17	hankel	hankel	NOUN
ejpam-3426	26	18	transformation	transformation	NOUN
ejpam-3426	26	19	used	use	VERB
ejpam-3426	26	20	in	in	ADP
ejpam-3426	26	21	[	[	X
ejpam-3426	26	22	2	2	NUM
ejpam-3426	26	23	,	,	PUNCT
ejpam-3426	26	24	9	9	NUM
ejpam-3426	26	25	]	]	PUNCT
ejpam-3426	26	26	to	to	ADP
ejpam-3426	26	27	second	second	ADJ
ejpam-3426	26	28	grade	grade	NOUN
ejpam-3426	26	29	fluid	fluid	NOUN
ejpam-3426	26	30	with	with	ADP
ejpam-3426	26	31	more	more	ADV
ejpam-3426	26	32	generalized	generalized	ADJ
ejpam-3426	26	33	boundary	boundary	ADJ
ejpam-3426	26	34	conditions	condition	NOUN
ejpam-3426	26	35	from	from	ADP
ejpam-3426	26	36	which	which	PRON
ejpam-3426	26	37	we	we	PRON
ejpam-3426	26	38	recover	recover	VERB
ejpam-3426	26	39	many	many	ADJ
ejpam-3426	26	40	general	general	ADJ
ejpam-3426	26	41	solutions	solution	NOUN
ejpam-3426	26	42	as	as	ADP
ejpam-3426	26	43	special	special	ADJ
ejpam-3426	26	44	solution	solution	NOUN
ejpam-3426	26	45	to	to	ADP
ejpam-3426	26	46	our	our	PRON
ejpam-3426	26	47	general	general	ADJ
ejpam-3426	26	48	solutions	solution	NOUN
ejpam-3426	26	49	.	.	PUNCT
ejpam-3426	27	1	we	we	PRON
ejpam-3426	27	2	also	also	ADV
ejpam-3426	27	3	point	point	VERB
ejpam-3426	27	4	out	out	ADP
ejpam-3426	27	5	that	that	SCONJ
ejpam-3426	27	6	the	the	DET
ejpam-3426	27	7	boiundary	boiundary	ADJ
ejpam-3426	27	8	conditions	condition	NOUN
ejpam-3426	27	9	and	and	CCONJ
ejpam-3426	27	10	indenties	indentie	NOUN
ejpam-3426	27	11	used	use	VERB
ejpam-3426	27	12	in	in	ADP
ejpam-3426	27	13	mentioned	mention	VERB
ejpam-3426	27	14	paper	paper	NOUN
ejpam-3426	28	1	[	[	X
ejpam-3426	28	2	9	9	NUM
ejpam-3426	28	3	,	,	PUNCT
ejpam-3426	28	4	15	15	NUM
ejpam-3426	28	5	]	]	PUNCT
ejpam-3426	28	6	are	be	AUX
ejpam-3426	28	7	very	very	ADV
ejpam-3426	28	8	rare	rare	ADJ
ejpam-3426	28	9	in	in	ADP
ejpam-3426	28	10	literature	literature	NOUN
ejpam-3426	28	11	.	.	PUNCT
ejpam-3426	29	1	therefore	therefore	ADV
ejpam-3426	29	2	motivated	motivate	VERB
ejpam-3426	29	3	by	by	ADP
ejpam-3426	29	4	these	these	DET
ejpam-3426	29	5	facts	fact	NOUN
ejpam-3426	29	6	,	,	PUNCT
ejpam-3426	29	7	we	we	PRON
ejpam-3426	29	8	study	study	VERB
ejpam-3426	29	9	,	,	PUNCT
ejpam-3426	29	10	the	the	DET
ejpam-3426	29	11	mhd	mhd	NOUN
ejpam-3426	29	12	flow	flow	NOUN
ejpam-3426	29	13	of	of	ADP
ejpam-3426	29	14	second	second	ADJ
ejpam-3426	29	15	grade	grade	NOUN
ejpam-3426	29	16	fluid	fluid	NOUN
ejpam-3426	29	17	between	between	ADP
ejpam-3426	29	18	two	two	NUM
ejpam-3426	29	19	infinite	infinite	ADJ
ejpam-3426	29	20	porous	porous	ADJ
ejpam-3426	29	21	coaxial	coaxial	ADJ
ejpam-3426	29	22	circular	circular	ADJ
ejpam-3426	29	23	cylinders	cylinder	NOUN
ejpam-3426	29	24	.	.	PUNCT
ejpam-3426	30	1	at	at	ADP
ejpam-3426	30	2	time	time	NOUN
ejpam-3426	30	3	t	t	NOUN
ejpam-3426	30	4	=	=	PUNCT
ejpam-3426	30	5	0	0	NUM
ejpam-3426	30	6	+	+	ADJ
ejpam-3426	30	7	,	,	PUNCT
ejpam-3426	30	8	the	the	DET
ejpam-3426	30	9	inner	inner	ADJ
ejpam-3426	30	10	cylinder	cylinder	NOUN
ejpam-3426	30	11	begins	begin	VERB
ejpam-3426	30	12	to	to	PART
ejpam-3426	30	13	rotate	rotate	VERB
ejpam-3426	30	14	around	around	ADP
ejpam-3426	30	15	its	its	PRON
ejpam-3426	30	16	axis	axis	NOUN
ejpam-3426	30	17	and	and	CCONJ
ejpam-3426	30	18	to	to	PART
ejpam-3426	30	19	slide	slide	VERB
ejpam-3426	30	20	along	along	ADP
ejpam-3426	30	21	the	the	DET
ejpam-3426	30	22	same	same	ADJ
ejpam-3426	30	23	axis	axis	NOUN
ejpam-3426	30	24	due	due	ADP
ejpam-3426	30	25	to	to	ADP
ejpam-3426	30	26	torsional	torsional	ADJ
ejpam-3426	30	27	and	and	CCONJ
ejpam-3426	30	28	longitudinal	longitudinal	ADJ
ejpam-3426	30	29	time	time	NOUN
ejpam-3426	30	30	dependent	dependent	ADJ
ejpam-3426	30	31	shear	shear	NOUN
ejpam-3426	30	32	stresses	stress	VERB
ejpam-3426	30	33	f1	f1	PROPN
ejpam-3426	30	34	t	t	PROPN
ejpam-3426	30	35	p	p	PROPN
ejpam-3426	30	36	and	and	CCONJ
ejpam-3426	30	37	g1	g1	PROPN
ejpam-3426	30	38	t	t	PROPN
ejpam-3426	30	39	p	p	NOUN
ejpam-3426	30	40	the	the	DET
ejpam-3426	30	41	outer	outer	ADJ
ejpam-3426	30	42	cylinder	cylinder	NOUN
ejpam-3426	30	43	is	be	AUX
ejpam-3426	30	44	also	also	ADV
ejpam-3426	30	45	rotate	rotate	VERB
ejpam-3426	30	46	around	around	ADP
ejpam-3426	30	47	its	its	PRON
ejpam-3426	30	48	axis	axis	NOUN
ejpam-3426	30	49	and	and	CCONJ
ejpam-3426	30	50	to	to	PART
ejpam-3426	30	51	slide	slide	VERB
ejpam-3426	30	52	along	along	ADP
ejpam-3426	30	53	the	the	DET
ejpam-3426	30	54	same	same	ADJ
ejpam-3426	30	55	axis	axis	NOUN
ejpam-3426	30	56	with	with	ADP
ejpam-3426	30	57	velocities	velocity	NOUN
ejpam-3426	30	58	f2	f2	PROPN
ejpam-3426	30	59	t	t	PROPN
ejpam-3426	30	60	p	p	PROPN
ejpam-3426	30	61	and	and	CCONJ
ejpam-3426	30	62	g2	g2	PROPN
ejpam-3426	30	63	t	t	PROPN
ejpam-3426	30	64	p	p	NOUN
ejpam-3426	30	65	.	.	PUNCT
ejpam-3426	31	1	the	the	DET
ejpam-3426	31	2	exact	exact	ADJ
ejpam-3426	31	3	solutions	solution	NOUN
ejpam-3426	31	4	obtained	obtain	VERB
ejpam-3426	31	5	with	with	ADP
ejpam-3426	31	6	the	the	DET
ejpam-3426	31	7	help	help	NOUN
ejpam-3426	31	8	of	of	ADP
ejpam-3426	31	9	laplace	laplace	NOUN
ejpam-3426	31	10	and	and	CCONJ
ejpam-3426	31	11	finite	finite	VERB
ejpam-3426	31	12	hankel	hankel	NOUN
ejpam-3426	31	13	transform	transform	NOUN
ejpam-3426	31	14	,	,	PUNCT
ejpam-3426	31	15	presented	present	VERB
ejpam-3426	31	16	in	in	ADP
ejpam-3426	31	17	convolution	convolution	NOUN
ejpam-3426	31	18	product	product	NOUN
ejpam-3426	31	19	of	of	ADP
ejpam-3426	31	20	laplace	laplace	NOUN
ejpam-3426	31	21	transform	transform	NOUN
ejpam-3426	31	22	,	,	PUNCT
ejpam-3426	31	23	which	which	PRON
ejpam-3426	31	24	satisfy	satisfy	VERB
ejpam-3426	31	25	all	all	DET
ejpam-3426	31	26	imposed	impose	VERB
ejpam-3426	31	27	initial	initial	ADJ
ejpam-3426	31	28	and	and	CCONJ
ejpam-3426	31	29	boundary	boundary	ADJ
ejpam-3426	31	30	conditions	condition	NOUN
ejpam-3426	31	31	.	.	PUNCT
ejpam-3426	32	1	as	as	ADP
ejpam-3426	32	2	the	the	DET
ejpam-3426	32	3	limiting	limiting	NOUN
ejpam-3426	32	4	and	and	CCONJ
ejpam-3426	32	5	special	special	ADJ
ejpam-3426	32	6	cases	case	NOUN
ejpam-3426	32	7	,	,	PUNCT
ejpam-3426	32	8	we	we	PRON
ejpam-3426	32	9	find	find	VERB
ejpam-3426	32	10	solutions	solution	NOUN
ejpam-3426	32	11	for	for	ADP
ejpam-3426	32	12	second	second	ADJ
ejpam-3426	32	13	grade	grade	NOUN
ejpam-3426	32	14	with	with	ADP
ejpam-3426	32	15	and	and	CCONJ
ejpam-3426	32	16	without	without	ADP
ejpam-3426	32	17	mhd	mhd	NOUN
ejpam-3426	32	18	/	/	SYM
ejpam-3426	32	19	porous	porous	ADJ
ejpam-3426	32	20	effects	effect	NOUN
ejpam-3426	32	21	,	,	PUNCT
ejpam-3426	32	22	newtonian	newtonian	ADJ
ejpam-3426	32	23	with	with	ADP
ejpam-3426	32	24	and	and	CCONJ
ejpam-3426	32	25	without	without	ADP
ejpam-3426	32	26	mhd	mhd	NOUN
ejpam-3426	32	27	/	/	SYM
ejpam-3426	32	28	porous	porous	ADJ
ejpam-3426	32	29	effects	effect	NOUN
ejpam-3426	32	30	and	and	CCONJ
ejpam-3426	32	31	discussed	discuss	VERB
ejpam-3426	32	32	graphically	graphically	ADV
ejpam-3426	32	33	.	.	PUNCT
ejpam-3426	33	1	furthermore	furthermore	ADV
ejpam-3426	33	2	the	the	DET
ejpam-3426	33	3	solutions	solution	NOUN
ejpam-3426	33	4	for	for	ADP
ejpam-3426	33	5	the	the	DET
ejpam-3426	33	6	special	special	ADJ
ejpam-3426	33	7	case	case	NOUN
ejpam-3426	33	8	for	for	ADP
ejpam-3426	33	9	p	p	NOUN
ejpam-3426	33	10	=	=	SYM
ejpam-3426	33	11	1	1	NUM
ejpam-3426	33	12	is	be	AUX
ejpam-3426	33	13	also	also	ADV
ejpam-3426	33	14	presented	present	VERB
ejpam-3426	33	15	.	.	PUNCT
ejpam-3426	34	1	m.	m.	PROPN
ejpam-3426	34	2	jamil	jamil	PROPN
ejpam-3426	34	3	,	,	PUNCT
ejpam-3426	34	4	m.	m.	NOUN
ejpam-3426	34	5	zafarullah	zafarullah	PROPN
ejpam-3426	34	6	/	/	SYM
ejpam-3426	34	7	eur	eur	PROPN
ejpam-3426	34	8	.	.	PUNCT
ejpam-3426	35	1	j.	j.	PROPN
ejpam-3426	35	2	pure	pure	PROPN
ejpam-3426	35	3	appl	appl	PROPN
ejpam-3426	35	4	.	.	PROPN
ejpam-3426	35	5	math	math	PROPN
ejpam-3426	35	6	,	,	PUNCT
ejpam-3426	35	7	12	12	NUM
ejpam-3426	35	8	(	(	PUNCT
ejpam-3426	35	9	3	3	NUM
ejpam-3426	35	10	)	)	PUNCT
ejpam-3426	35	11	(	(	PUNCT
ejpam-3426	35	12	2019	2019	NUM
ejpam-3426	35	13	)	)	PUNCT
ejpam-3426	35	14	,	,	PUNCT
ejpam-3426	35	15	1149	1149	NUM
ejpam-3426	35	16	-	-	SYM
ejpam-3426	35	17	1175	1175	NUM
ejpam-3426	35	18	1151	1151	NUM
ejpam-3426	35	19	2	2	NUM
ejpam-3426	35	20	.	.	PUNCT
ejpam-3426	36	1	formation	formation	NOUN
ejpam-3426	36	2	of	of	ADP
ejpam-3426	36	3	the	the	DET
ejpam-3426	36	4	problem	problem	NOUN
ejpam-3426	36	5	suppose	suppose	VERB
ejpam-3426	36	6	that	that	SCONJ
ejpam-3426	36	7	an	an	DET
ejpam-3426	36	8	incompressible	incompressible	ADJ
ejpam-3426	36	9	second	second	ADJ
ejpam-3426	36	10	grade	grade	NOUN
ejpam-3426	36	11	mhd	mhd	NOUN
ejpam-3426	36	12	fluid	fluid	NOUN
ejpam-3426	36	13	at	at	ADP
ejpam-3426	36	14	rest	rest	NOUN
ejpam-3426	36	15	is	be	AUX
ejpam-3426	36	16	situated	situate	VERB
ejpam-3426	36	17	in	in	ADP
ejpam-3426	36	18	the	the	DET
ejpam-3426	36	19	annular	annular	ADJ
ejpam-3426	36	20	region	region	NOUN
ejpam-3426	36	21	between	between	ADP
ejpam-3426	36	22	two	two	NUM
ejpam-3426	36	23	infinite	infinite	ADJ
ejpam-3426	36	24	coaxial	coaxial	ADJ
ejpam-3426	36	25	circular	circular	ADJ
ejpam-3426	36	26	cylinders	cylinder	NOUN
ejpam-3426	36	27	of	of	ADP
ejpam-3426	36	28	radii	radius	NOUN
ejpam-3426	36	29	r1	r1	NOUN
ejpam-3426	36	30	and	and	CCONJ
ejpam-3426	36	31	r2	r2	PROPN
ejpam-3426	36	32	(	(	PUNCT
ejpam-3426	36	33	>	>	X
ejpam-3426	36	34	r1	r1	PROPN
ejpam-3426	36	35	)	)	PUNCT
ejpam-3426	36	36	.	.	PUNCT
ejpam-3426	37	1	at	at	ADP
ejpam-3426	37	2	time	time	NOUN
ejpam-3426	37	3	t	t	NOUN
ejpam-3426	37	4	=	=	PUNCT
ejpam-3426	38	1	0	0	PUNCT
ejpam-3426	38	2	+	+	CCONJ
ejpam-3426	38	3	the	the	DET
ejpam-3426	38	4	inner	inner	ADJ
ejpam-3426	38	5	cylinder	cylinder	NOUN
ejpam-3426	38	6	begins	begin	VERB
ejpam-3426	38	7	to	to	PART
ejpam-3426	38	8	rotate	rotate	VERB
ejpam-3426	38	9	around	around	ADP
ejpam-3426	38	10	its	its	PRON
ejpam-3426	38	11	axis	axis	NOUN
ejpam-3426	38	12	and	and	CCONJ
ejpam-3426	38	13	to	to	PART
ejpam-3426	38	14	slide	slide	VERB
ejpam-3426	38	15	along	along	ADP
ejpam-3426	38	16	the	the	DET
ejpam-3426	38	17	same	same	ADJ
ejpam-3426	38	18	axis	axis	NOUN
ejpam-3426	38	19	due	due	ADP
ejpam-3426	38	20	to	to	ADP
ejpam-3426	38	21	the	the	DET
ejpam-3426	38	22	time	time	NOUN
ejpam-3426	38	23	-	-	PUNCT
ejpam-3426	38	24	dependent	dependent	ADJ
ejpam-3426	38	25	shear	shear	NOUN
ejpam-3426	38	26	stresses	stress	NOUN
ejpam-3426	38	27	figure	figure	VERB
ejpam-3426	38	28	1	1	NUM
ejpam-3426	38	29	:	:	PUNCT
ejpam-3426	38	30	geometry	geometry	NOUN
ejpam-3426	38	31	of	of	ADP
ejpam-3426	38	32	the	the	DET
ejpam-3426	38	33	problem	problem	NOUN
ejpam-3426	38	34	for	for	ADP
ejpam-3426	38	35	rotational	rotational	ADJ
ejpam-3426	38	36	and	and	CCONJ
ejpam-3426	38	37	translational	translational	ADJ
ejpam-3426	38	38	flows	flow	NOUN
ejpam-3426	38	39	of	of	ADP
ejpam-3426	38	40	fluid	fluid	NOUN
ejpam-3426	38	41	through	through	ADP
ejpam-3426	38	42	an	an	DET
ejpam-3426	38	43	annulus	annulus	NOUN
ejpam-3426	38	44	τω(r1	τω(r1	NUM
ejpam-3426	38	45	,	,	PUNCT
ejpam-3426	38	46	t	t	PROPN
ejpam-3426	38	47	)	)	PUNCT
ejpam-3426	38	48	=	=	SYM
ejpam-3426	38	49	f1	f1	PROPN
ejpam-3426	38	50	t	t	PROPN
ejpam-3426	38	51	p	p	PROPN
ejpam-3426	38	52	and	and	CCONJ
ejpam-3426	38	53	τv(r1	τv(r1	PROPN
ejpam-3426	38	54	,	,	PUNCT
ejpam-3426	38	55	t	t	NOUN
ejpam-3426	38	56	)	)	PUNCT
ejpam-3426	38	57	=	=	PROPN
ejpam-3426	38	58	g1	g1	PROPN
ejpam-3426	38	59	t	t	PROPN
ejpam-3426	38	60	p	p	X
ejpam-3426	38	61	,	,	PUNCT
ejpam-3426	38	62	where	where	SCONJ
ejpam-3426	38	63	p	p	PRON
ejpam-3426	38	64	≥	≥	NOUN
ejpam-3426	38	65	0	0	NUM
ejpam-3426	38	66	,	,	PUNCT
ejpam-3426	38	67	(	(	PUNCT
ejpam-3426	38	68	1	1	X
ejpam-3426	38	69	)	)	PUNCT
ejpam-3426	38	70	and	and	CCONJ
ejpam-3426	38	71	the	the	DET
ejpam-3426	38	72	outer	outer	ADJ
ejpam-3426	38	73	cylinder	cylinder	NOUN
ejpam-3426	38	74	also	also	ADV
ejpam-3426	38	75	starts	start	VERB
ejpam-3426	38	76	to	to	PART
ejpam-3426	38	77	rotate	rotate	VERB
ejpam-3426	38	78	around	around	ADP
ejpam-3426	38	79	its	its	PRON
ejpam-3426	38	80	axis	axis	NOUN
ejpam-3426	38	81	and	and	CCONJ
ejpam-3426	38	82	slide	slide	NOUN
ejpam-3426	38	83	along	along	ADP
ejpam-3426	38	84	same	same	ADJ
ejpam-3426	38	85	axis	axis	NOUN
ejpam-3426	38	86	with	with	ADP
ejpam-3426	38	87	rotational	rotational	ADJ
ejpam-3426	38	88	velocity	velocity	NOUN
ejpam-3426	39	1	f2	f2	PROPN
ejpam-3426	39	2	t	t	PROPN
ejpam-3426	39	3	p	p	NOUN
ejpam-3426	39	4	and	and	CCONJ
ejpam-3426	39	5	translated	translate	VERB
ejpam-3426	39	6	velocity	velocity	NOUN
ejpam-3426	39	7	g2	g2	PROPN
ejpam-3426	40	1	t	t	PROPN
ejpam-3426	40	2	p	p	X
ejpam-3426	40	3	,	,	PUNCT
ejpam-3426	40	4	where	where	SCONJ
ejpam-3426	40	5	f1	f1	NOUN
ejpam-3426	40	6	,	,	PUNCT
ejpam-3426	40	7	f2	f2	PROPN
ejpam-3426	40	8	,	,	PUNCT
ejpam-3426	40	9	g1	g1	PROPN
ejpam-3426	40	10	and	and	CCONJ
ejpam-3426	40	11	g2	g2	PROPN
ejpam-3426	40	12	are	be	AUX
ejpam-3426	40	13	constants	constant	NOUN
ejpam-3426	40	14	.	.	PUNCT
ejpam-3426	41	1	due	due	ADP
ejpam-3426	41	2	to	to	ADP
ejpam-3426	41	3	the	the	DET
ejpam-3426	41	4	shear	shear	NOUN
ejpam-3426	41	5	,	,	PUNCT
ejpam-3426	41	6	the	the	DET
ejpam-3426	41	7	fluid	fluid	NOUN
ejpam-3426	41	8	is	be	AUX
ejpam-3426	41	9	gradually	gradually	ADV
ejpam-3426	41	10	moved	move	VERB
ejpam-3426	41	11	its	its	PRON
ejpam-3426	41	12	velocity	velocity	NOUN
ejpam-3426	41	13	and	and	CCONJ
ejpam-3426	41	14	extra	extra	ADJ
ejpam-3426	41	15	stress	stress	NOUN
ejpam-3426	41	16	tensor	tensor	NOUN
ejpam-3426	41	17	are	be	AUX
ejpam-3426	41	18	considered	consider	VERB
ejpam-3426	41	19	to	to	PART
ejpam-3426	41	20	be	be	AUX
ejpam-3426	41	21	v	v	NOUN
ejpam-3426	41	22	=	=	SYM
ejpam-3426	41	23	v(r	v(r	PROPN
ejpam-3426	41	24	,	,	PUNCT
ejpam-3426	41	25	t	t	PROPN
ejpam-3426	41	26	)	)	PUNCT
ejpam-3426	41	27	=	=	SYM
ejpam-3426	42	1	w(r	w(r	ADJ
ejpam-3426	42	2	,	,	PUNCT
ejpam-3426	42	3	t)eθ	t)eθ	PROPN
ejpam-3426	42	4	+	+	NUM
ejpam-3426	42	5	v(r	v(r	PROPN
ejpam-3426	42	6	,	,	PUNCT
ejpam-3426	42	7	t)ez	t)ez	PROPN
ejpam-3426	42	8	,	,	PUNCT
ejpam-3426	42	9	s	s	PART
ejpam-3426	42	10	=	=	ADJ
ejpam-3426	42	11	s(r	s(r	PROPN
ejpam-3426	42	12	,	,	PUNCT
ejpam-3426	42	13	t	t	PROPN
ejpam-3426	42	14	)	)	PUNCT
ejpam-3426	42	15	,	,	PUNCT
ejpam-3426	42	16	(	(	PUNCT
ejpam-3426	42	17	2	2	X
ejpam-3426	42	18	)	)	PUNCT
ejpam-3426	42	19	where	where	SCONJ
ejpam-3426	42	20	eθ	eθ	PROPN
ejpam-3426	42	21	and	and	CCONJ
ejpam-3426	42	22	ez	ez	PROPN
ejpam-3426	42	23	are	be	AUX
ejpam-3426	42	24	unit	unit	NOUN
ejpam-3426	42	25	vectors	vector	NOUN
ejpam-3426	42	26	in	in	ADP
ejpam-3426	42	27	the	the	DET
ejpam-3426	42	28	θ	θ	PROPN
ejpam-3426	42	29	and	and	CCONJ
ejpam-3426	42	30	z	z	NOUN
ejpam-3426	42	31	-	-	PUNCT
ejpam-3426	42	32	directions	direction	NOUN
ejpam-3426	42	33	of	of	ADP
ejpam-3426	42	34	the	the	DET
ejpam-3426	42	35	cylindrical	cylindrical	ADJ
ejpam-3426	42	36	coordinate	coordinate	NOUN
ejpam-3426	42	37	system	system	NOUN
ejpam-3426	42	38	r	r	NOUN
ejpam-3426	42	39	,	,	PUNCT
ejpam-3426	42	40	θ	θ	PROPN
ejpam-3426	42	41	and	and	CCONJ
ejpam-3426	42	42	z.	z.	PROPN
ejpam-3426	43	1	the	the	DET
ejpam-3426	43	2	governing	govern	VERB
ejpam-3426	43	3	equations	equation	NOUN
ejpam-3426	43	4	are	be	AUX
ejpam-3426	43	5	given	give	VERB
ejpam-3426	43	6	by	by	ADP
ejpam-3426	43	7	[	[	PUNCT
ejpam-3426	43	8	11	11	NUM
ejpam-3426	43	9	,	,	PUNCT
ejpam-3426	43	10	19	19	NUM
ejpam-3426	43	11	]	]	SYM
ejpam-3426	43	12	∂	∂	NUM
ejpam-3426	43	13	∂t	∂t	PROPN
ejpam-3426	43	14	ω(r	ω(r	PROPN
ejpam-3426	43	15	,	,	PUNCT
ejpam-3426	43	16	t	t	PROPN
ejpam-3426	43	17	)	)	PUNCT
ejpam-3426	43	18	=	=	SYM
ejpam-3426	43	19	(	(	PUNCT
ejpam-3426	44	1	ϑ+	ϑ+	X
ejpam-3426	44	2	α	α	NOUN
ejpam-3426	44	3	∂	∂	X
ejpam-3426	44	4	∂t	∂t	PROPN
ejpam-3426	44	5	)	)	PUNCT
ejpam-3426	44	6	(	(	PUNCT
ejpam-3426	44	7	∂2	∂2	NUM
ejpam-3426	44	8	∂r2	∂r2	PROPN
ejpam-3426	44	9	+	+	CCONJ
ejpam-3426	44	10	∂	∂	NUM
ejpam-3426	45	1	∂r	∂r	NOUN
ejpam-3426	45	2	−	−	NUM
ejpam-3426	45	3	1	1	NUM
ejpam-3426	45	4	r2	r2	PROPN
ejpam-3426	45	5	)	)	PUNCT
ejpam-3426	45	6	ω(r	ω(r	PROPN
ejpam-3426	45	7	,	,	PUNCT
ejpam-3426	45	8	t)−m	t)−m	PROPN
ejpam-3426	45	9	ω(r	ω(r	PROPN
ejpam-3426	45	10	,	,	PUNCT
ejpam-3426	45	11	t)−	t)−	PROPN
ejpam-3426	45	12	φ	φ	X
ejpam-3426	45	13	(	(	PUNCT
ejpam-3426	45	14	ϑ+	ϑ+	X
ejpam-3426	45	15	α	α	NOUN
ejpam-3426	45	16	∂	∂	X
ejpam-3426	45	17	∂t	∂t	PROPN
ejpam-3426	45	18	)	)	PUNCT
ejpam-3426	45	19	ω(r	ω(r	PROPN
ejpam-3426	45	20	,	,	PUNCT
ejpam-3426	45	21	t	t	PROPN
ejpam-3426	45	22	)	)	PUNCT
ejpam-3426	45	23	;	;	PUNCT
ejpam-3426	45	24	(	(	PUNCT
ejpam-3426	45	25	3	3	X
ejpam-3426	45	26	)	)	PUNCT
ejpam-3426	45	27	where	where	SCONJ
ejpam-3426	45	28	r	r	NOUN
ejpam-3426	45	29	∈	∈	PROPN
ejpam-3426	46	1	[	[	X
ejpam-3426	46	2	r1	r1	NOUN
ejpam-3426	46	3	,	,	PUNCT
ejpam-3426	46	4	r2	r2	PROPN
ejpam-3426	46	5	]	]	PUNCT
ejpam-3426	46	6	,	,	PUNCT
ejpam-3426	46	7	t	t	X
ejpam-3426	46	8	>	>	X
ejpam-3426	46	9	0	0	PROPN
ejpam-3426	46	10	,	,	PUNCT
ejpam-3426	46	11	m.	m.	NOUN
ejpam-3426	46	12	jamil	jamil	PROPN
ejpam-3426	46	13	,	,	PUNCT
ejpam-3426	46	14	m.	m.	NOUN
ejpam-3426	46	15	zafarullah	zafarullah	PROPN
ejpam-3426	46	16	/	/	SYM
ejpam-3426	46	17	eur	eur	PROPN
ejpam-3426	46	18	.	.	PUNCT
ejpam-3426	47	1	j.	j.	PROPN
ejpam-3426	47	2	pure	pure	PROPN
ejpam-3426	47	3	appl	appl	PROPN
ejpam-3426	47	4	.	.	PROPN
ejpam-3426	47	5	math	math	PROPN
ejpam-3426	47	6	,	,	PUNCT
ejpam-3426	47	7	12	12	NUM
ejpam-3426	47	8	(	(	PUNCT
ejpam-3426	47	9	3	3	NUM
ejpam-3426	47	10	)	)	PUNCT
ejpam-3426	47	11	(	(	PUNCT
ejpam-3426	47	12	2019	2019	NUM
ejpam-3426	47	13	)	)	PUNCT
ejpam-3426	47	14	,	,	PUNCT
ejpam-3426	47	15	1149	1149	NUM
ejpam-3426	47	16	-	-	SYM
ejpam-3426	47	17	1175	1175	NUM
ejpam-3426	47	18	1152	1152	NUM
ejpam-3426	47	19	∂	∂	NOUN
ejpam-3426	47	20	∂t	∂t	PROPN
ejpam-3426	47	21	v(r	v(r	PROPN
ejpam-3426	47	22	,	,	PUNCT
ejpam-3426	47	23	t	t	PROPN
ejpam-3426	47	24	)	)	PUNCT
ejpam-3426	47	25	=	=	SYM
ejpam-3426	47	26	(	(	PUNCT
ejpam-3426	47	27	ϑ+	ϑ+	X
ejpam-3426	47	28	α	α	NOUN
ejpam-3426	47	29	∂	∂	X
ejpam-3426	47	30	∂t	∂t	PROPN
ejpam-3426	47	31	)	)	PUNCT
ejpam-3426	47	32	(	(	PUNCT
ejpam-3426	47	33	∂2	∂2	NUM
ejpam-3426	47	34	∂r2	∂r2	NOUN
ejpam-3426	47	35	+	+	CCONJ
ejpam-3426	47	36	1	1	NUM
ejpam-3426	47	37	r	r	NOUN
ejpam-3426	47	38	∂	∂	NOUN
ejpam-3426	47	39	∂r	∂r	PROPN
ejpam-3426	47	40	)	)	PUNCT
ejpam-3426	47	41	v(r	v(r	PROPN
ejpam-3426	47	42	,	,	PUNCT
ejpam-3426	47	43	t)−m	t)−m	PROPN
ejpam-3426	47	44	v(r	v(r	PROPN
ejpam-3426	47	45	,	,	PUNCT
ejpam-3426	47	46	t)−	t)−	PROPN
ejpam-3426	47	47	φ	φ	X
ejpam-3426	47	48	(	(	PUNCT
ejpam-3426	47	49	ϑ+	ϑ+	X
ejpam-3426	47	50	α	α	NOUN
ejpam-3426	47	51	∂	∂	NOUN
ejpam-3426	47	52	∂t	∂t	PROPN
ejpam-3426	47	53	)	)	PUNCT
ejpam-3426	47	54	v(r	v(r	PROPN
ejpam-3426	47	55	,	,	PUNCT
ejpam-3426	47	56	t	t	PROPN
ejpam-3426	47	57	)	)	PUNCT
ejpam-3426	47	58	;	;	PUNCT
ejpam-3426	47	59	(	(	PUNCT
ejpam-3426	47	60	4	4	X
ejpam-3426	47	61	)	)	PUNCT
ejpam-3426	47	62	where	where	SCONJ
ejpam-3426	47	63	r	r	NOUN
ejpam-3426	47	64	∈	∈	PROPN
ejpam-3426	48	1	[	[	X
ejpam-3426	48	2	r1	r1	NOUN
ejpam-3426	48	3	,	,	PUNCT
ejpam-3426	48	4	r2	r2	PROPN
ejpam-3426	48	5	]	]	PUNCT
ejpam-3426	48	6	,	,	PUNCT
ejpam-3426	48	7	t	t	X
ejpam-3426	48	8	>	>	X
ejpam-3426	48	9	0	0	PROPN
ejpam-3426	48	10	,	,	PUNCT
ejpam-3426	48	11	τω	τω	NOUN
ejpam-3426	48	12	=	=	PUNCT
ejpam-3426	48	13	(	(	PUNCT
ejpam-3426	48	14	µ+	µ+	X
ejpam-3426	48	15	α1	α1	PROPN
ejpam-3426	48	16	∂	∂	X
ejpam-3426	48	17	∂t	∂t	PROPN
ejpam-3426	48	18	)	)	PUNCT
ejpam-3426	48	19	(	(	PUNCT
ejpam-3426	48	20	∂	∂	NUM
ejpam-3426	49	1	∂r	∂r	NOUN
ejpam-3426	49	2	−	−	NUM
ejpam-3426	49	3	1	1	NUM
ejpam-3426	49	4	r	r	NOUN
ejpam-3426	49	5	)	)	PUNCT
ejpam-3426	49	6	ω(r	ω(r	PROPN
ejpam-3426	49	7	,	,	PUNCT
ejpam-3426	49	8	t	t	PROPN
ejpam-3426	49	9	)	)	PUNCT
ejpam-3426	49	10	,	,	PUNCT
ejpam-3426	49	11	(	(	PUNCT
ejpam-3426	49	12	5	5	NUM
ejpam-3426	49	13	)	)	PUNCT
ejpam-3426	49	14	τv	τv	NOUN
ejpam-3426	49	15	=	=	PUNCT
ejpam-3426	49	16	(	(	PUNCT
ejpam-3426	49	17	µ+	µ+	X
ejpam-3426	49	18	α1	α1	PROPN
ejpam-3426	49	19	∂	∂	X
ejpam-3426	49	20	∂t	∂t	PROPN
ejpam-3426	49	21	)	)	PUNCT
ejpam-3426	49	22	∂v(r	∂v(r	PROPN
ejpam-3426	49	23	,	,	PUNCT
ejpam-3426	49	24	q	q	NOUN
ejpam-3426	49	25	)	)	PUNCT
ejpam-3426	50	1	∂r	∂r	INTJ
ejpam-3426	50	2	,	,	PUNCT
ejpam-3426	50	3	(	(	PUNCT
ejpam-3426	50	4	6	6	NUM
ejpam-3426	50	5	)	)	PUNCT
ejpam-3426	50	6	where	where	SCONJ
ejpam-3426	50	7	τω	τω	DET
ejpam-3426	50	8	=	=	NOUN
ejpam-3426	50	9	srθ	srθ	NOUN
ejpam-3426	50	10	and	and	CCONJ
ejpam-3426	50	11	τv	τv	X
ejpam-3426	50	12	=	=	NOUN
ejpam-3426	50	13	srz	srz	PROPN
ejpam-3426	50	14	are	be	AUX
ejpam-3426	50	15	the	the	DET
ejpam-3426	50	16	shear	shear	NOUN
ejpam-3426	50	17	stresses	stress	NOUN
ejpam-3426	50	18	that	that	PRON
ejpam-3426	50	19	are	be	AUX
ejpam-3426	50	20	different	different	ADJ
ejpam-3426	50	21	of	of	ADP
ejpam-3426	50	22	zero	zero	NUM
ejpam-3426	50	23	and	and	CCONJ
ejpam-3426	50	24	ν	ν	NOUN
ejpam-3426	50	25	=	=	X
ejpam-3426	50	26	µ/ρ	µ/ρ	NOUN
ejpam-3426	50	27	is	be	AUX
ejpam-3426	50	28	the	the	DET
ejpam-3426	50	29	kinematic	kinematic	ADJ
ejpam-3426	50	30	viscosity	viscosity	NOUN
ejpam-3426	50	31	,	,	PUNCT
ejpam-3426	50	32	µ	µ	X
ejpam-3426	50	33	is	be	AUX
ejpam-3426	50	34	the	the	DET
ejpam-3426	50	35	dynamic	dynamic	ADJ
ejpam-3426	50	36	viscosity	viscosity	NOUN
ejpam-3426	50	37	,	,	PUNCT
ejpam-3426	50	38	ρ	ρ	PROPN
ejpam-3426	50	39	is	be	AUX
ejpam-3426	50	40	the	the	DET
ejpam-3426	50	41	density	density	NOUN
ejpam-3426	50	42	of	of	ADP
ejpam-3426	50	43	the	the	DET
ejpam-3426	50	44	fluid	fluid	NOUN
ejpam-3426	50	45	and	and	CCONJ
ejpam-3426	50	46	φ	φ	NOUN
ejpam-3426	50	47	=	=	PROPN
ejpam-3426	50	48	φ	φ	PROPN
ejpam-3426	50	49	k	k	PROPN
ejpam-3426	50	50	and	and	CCONJ
ejpam-3426	50	51	m	m	PROPN
ejpam-3426	50	52	=	=	NOUN
ejpam-3426	51	1	σb2	σb2	PROPN
ejpam-3426	51	2	o	o	PROPN
ejpam-3426	51	3	ρ	ρ	PROPN
ejpam-3426	51	4	are	be	AUX
ejpam-3426	51	5	magnetic	magnetic	ADJ
ejpam-3426	51	6	and	and	CCONJ
ejpam-3426	51	7	porosity	porosity	NOUN
ejpam-3426	51	8	constants	constant	NOUN
ejpam-3426	51	9	,	,	PUNCT
ejpam-3426	51	10	where	where	SCONJ
ejpam-3426	51	11	φ	φ	PROPN
ejpam-3426	51	12	is	be	AUX
ejpam-3426	51	13	the	the	DET
ejpam-3426	51	14	porosity	porosity	NOUN
ejpam-3426	51	15	and	and	CCONJ
ejpam-3426	51	16	κ	κ	NOUN
ejpam-3426	51	17	is	be	AUX
ejpam-3426	51	18	the	the	DET
ejpam-3426	51	19	permeability	permeability	NOUN
ejpam-3426	51	20	of	of	ADP
ejpam-3426	51	21	the	the	DET
ejpam-3426	51	22	porous	porous	ADJ
ejpam-3426	51	23	medium	medium	NOUN
ejpam-3426	51	24	,	,	PUNCT
ejpam-3426	51	25	b0	b0	NOUN
ejpam-3426	51	26	is	be	AUX
ejpam-3426	51	27	the	the	DET
ejpam-3426	51	28	magnitude	magnitude	NOUN
ejpam-3426	51	29	of	of	ADP
ejpam-3426	51	30	applied	apply	VERB
ejpam-3426	51	31	magnetic	magnetic	ADJ
ejpam-3426	51	32	field	field	NOUN
ejpam-3426	51	33	and	and	CCONJ
ejpam-3426	51	34	σ	σ	PROPN
ejpam-3426	51	35	is	be	AUX
ejpam-3426	51	36	the	the	DET
ejpam-3426	51	37	electrically	electrically	ADV
ejpam-3426	51	38	conductively	conductively	ADV
ejpam-3426	51	39	of	of	ADP
ejpam-3426	51	40	fluid	fluid	NOUN
ejpam-3426	51	41	,	,	PUNCT
ejpam-3426	51	42	while	while	SCONJ
ejpam-3426	51	43	the	the	DET
ejpam-3426	51	44	appropriate	appropriate	ADJ
ejpam-3426	51	45	initial	initial	ADJ
ejpam-3426	51	46	and	and	CCONJ
ejpam-3426	51	47	boundary	boundary	ADJ
ejpam-3426	51	48	conditions	condition	NOUN
ejpam-3426	51	49	are	be	AUX
ejpam-3426	51	50	w(r	w(r	ADJ
ejpam-3426	51	51	,	,	PUNCT
ejpam-3426	51	52	0	0	NUM
ejpam-3426	51	53	)	)	PUNCT
ejpam-3426	51	54	=	=	SYM
ejpam-3426	51	55	∂w(r	∂w(r	PROPN
ejpam-3426	51	56	,	,	PUNCT
ejpam-3426	51	57	0	0	NUM
ejpam-3426	51	58	)	)	PUNCT
ejpam-3426	51	59	∂t	∂t	PROPN
ejpam-3426	51	60	=	=	SYM
ejpam-3426	51	61	v(r	v(r	PROPN
ejpam-3426	51	62	,	,	PUNCT
ejpam-3426	51	63	0	0	NUM
ejpam-3426	51	64	)	)	PUNCT
ejpam-3426	52	1	=	=	SYM
ejpam-3426	52	2	∂v(r	∂v(r	PROPN
ejpam-3426	52	3	,	,	PUNCT
ejpam-3426	52	4	0	0	NUM
ejpam-3426	52	5	)	)	PUNCT
ejpam-3426	52	6	∂t	∂t	PROPN
ejpam-3426	52	7	=	=	SYM
ejpam-3426	52	8	0	0	PROPN
ejpam-3426	52	9	and	and	CCONJ
ejpam-3426	52	10	τ1(r	τ1(r	NOUN
ejpam-3426	52	11	,	,	PUNCT
ejpam-3426	52	12	0	0	NUM
ejpam-3426	52	13	)	)	PUNCT
ejpam-3426	52	14	=	=	SYM
ejpam-3426	52	15	τ2(r	τ2(r	PROPN
ejpam-3426	52	16	,	,	PUNCT
ejpam-3426	52	17	0	0	NUM
ejpam-3426	52	18	)	)	PUNCT
ejpam-3426	52	19	=	=	SYM
ejpam-3426	52	20	0	0	NUM
ejpam-3426	52	21	;	;	PUNCT
ejpam-3426	52	22	r	r	NOUN
ejpam-3426	52	23	∈	∈	PROPN
ejpam-3426	53	1	[	[	X
ejpam-3426	53	2	r1	r1	NOUN
ejpam-3426	53	3	,	,	PUNCT
ejpam-3426	53	4	r2	r2	PROPN
ejpam-3426	53	5	]	]	PUNCT
ejpam-3426	53	6	,	,	PUNCT
ejpam-3426	53	7	(	(	PUNCT
ejpam-3426	53	8	7	7	X
ejpam-3426	53	9	)	)	PUNCT
ejpam-3426	53	10	respectively	respectively	ADV
ejpam-3426	53	11	,	,	PUNCT
ejpam-3426	53	12	τω(r1	τω(r1	NUM
ejpam-3426	53	13	,	,	PUNCT
ejpam-3426	53	14	t	t	PROPN
ejpam-3426	53	15	)	)	PUNCT
ejpam-3426	53	16	=	=	PUNCT
ejpam-3426	53	17	(	(	PUNCT
ejpam-3426	53	18	µ+	µ+	X
ejpam-3426	53	19	α1	α1	PROPN
ejpam-3426	53	20	∂	∂	X
ejpam-3426	53	21	∂t	∂t	PROPN
ejpam-3426	53	22	)	)	PUNCT
ejpam-3426	53	23	(	(	PUNCT
ejpam-3426	53	24	∂	∂	NUM
ejpam-3426	54	1	∂r	∂r	NOUN
ejpam-3426	54	2	−	−	NUM
ejpam-3426	54	3	1	1	NUM
ejpam-3426	54	4	r	r	NOUN
ejpam-3426	54	5	)	)	PUNCT
ejpam-3426	54	6	ω(r	ω(r	NUM
ejpam-3426	54	7	,	,	PUNCT
ejpam-3426	54	8	t	t	PROPN
ejpam-3426	54	9	)	)	PUNCT
ejpam-3426	54	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	54	11	r	r	NOUN
ejpam-3426	54	12	=	=	ADJ
ejpam-3426	54	13	r1	r1	NOUN
ejpam-3426	54	14	=	=	SYM
ejpam-3426	54	15	f1	f1	PROPN
ejpam-3426	54	16	t	t	PROPN
ejpam-3426	54	17	p	p	PROPN
ejpam-3426	54	18	,	,	PUNCT
ejpam-3426	54	19	t	t	X
ejpam-3426	54	20	>	>	X
ejpam-3426	54	21	0	0	NUM
ejpam-3426	54	22	,	,	PUNCT
ejpam-3426	54	23	(	(	PUNCT
ejpam-3426	54	24	8)	8)	NUM
ejpam-3426	54	25	and	and	CCONJ
ejpam-3426	54	26	τv(r1	τv(r1	NUM
ejpam-3426	54	27	,	,	PUNCT
ejpam-3426	54	28	t	t	PROPN
ejpam-3426	54	29	)	)	PUNCT
ejpam-3426	54	30	=	=	PUNCT
ejpam-3426	55	1	(	(	PUNCT
ejpam-3426	55	2	µ+	µ+	X
ejpam-3426	55	3	α1	α1	PROPN
ejpam-3426	55	4	∂	∂	X
ejpam-3426	55	5	∂t	∂t	PROPN
ejpam-3426	55	6	)	)	PUNCT
ejpam-3426	55	7	(	(	PUNCT
ejpam-3426	55	8	∂	∂	NUM
ejpam-3426	56	1	∂r	∂r	NOUN
ejpam-3426	56	2	−	−	NUM
ejpam-3426	56	3	1	1	NUM
ejpam-3426	56	4	r	r	NOUN
ejpam-3426	56	5	)	)	PUNCT
ejpam-3426	56	6	v(r	v(r	PROPN
ejpam-3426	56	7	,	,	PUNCT
ejpam-3426	56	8	t	t	PROPN
ejpam-3426	56	9	)	)	PUNCT
ejpam-3426	56	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	56	11	r	r	NOUN
ejpam-3426	56	12	=	=	NOUN
ejpam-3426	56	13	r1	r1	NOUN
ejpam-3426	56	14	=	=	PUNCT
ejpam-3426	56	15	g1	g1	PROPN
ejpam-3426	56	16	t	t	PROPN
ejpam-3426	56	17	p	p	X
ejpam-3426	56	18	,	,	PUNCT
ejpam-3426	56	19	t	t	X
ejpam-3426	56	20	>	>	X
ejpam-3426	56	21	0	0	NUM
ejpam-3426	56	22	,	,	PUNCT
ejpam-3426	56	23	(	(	PUNCT
ejpam-3426	56	24	9	9	NUM
ejpam-3426	56	25	)	)	PUNCT
ejpam-3426	56	26	ω(r2	ω(r2	NOUN
ejpam-3426	56	27	,	,	PUNCT
ejpam-3426	56	28	t	t	PROPN
ejpam-3426	56	29	)	)	PUNCT
ejpam-3426	56	30	=	=	PUNCT
ejpam-3426	57	1	f2	f2	PROPN
ejpam-3426	57	2	t	t	NOUN
ejpam-3426	57	3	p	p	NOUN
ejpam-3426	57	4	and	and	CCONJ
ejpam-3426	57	5	v(r2	v(r2	NOUN
ejpam-3426	57	6	,	,	PUNCT
ejpam-3426	57	7	t	t	PROPN
ejpam-3426	57	8	)	)	PUNCT
ejpam-3426	57	9	=	=	SYM
ejpam-3426	58	1	g2	g2	PROPN
ejpam-3426	58	2	t	t	NOUN
ejpam-3426	58	3	p	p	X
ejpam-3426	58	4	;	;	PUNCT
ejpam-3426	58	5	t	t	PROPN
ejpam-3426	58	6	>	>	X
ejpam-3426	58	7	0	0	PROPN
ejpam-3426	58	8	.	.	PUNCT
ejpam-3426	59	1	(	(	PUNCT
ejpam-3426	59	2	10	10	NUM
ejpam-3426	59	3	)	)	PUNCT
ejpam-3426	59	4	in	in	ADP
ejpam-3426	59	5	order	order	NOUN
ejpam-3426	59	6	to	to	PART
ejpam-3426	59	7	solve	solve	VERB
ejpam-3426	59	8	this	this	DET
ejpam-3426	59	9	problem	problem	NOUN
ejpam-3426	59	10	we	we	PRON
ejpam-3426	59	11	shall	shall	AUX
ejpam-3426	59	12	use	use	VERB
ejpam-3426	59	13	laplace	laplace	NOUN
ejpam-3426	59	14	transforms	transform	VERB
ejpam-3426	59	15	and	and	CCONJ
ejpam-3426	59	16	the	the	DET
ejpam-3426	59	17	finite	finite	ADJ
ejpam-3426	59	18	hankel	hankel	NOUN
ejpam-3426	59	19	transforms	transform	VERB
ejpam-3426	59	20	.	.	PUNCT
ejpam-3426	60	1	m.	m.	PROPN
ejpam-3426	60	2	jamil	jamil	PROPN
ejpam-3426	60	3	,	,	PUNCT
ejpam-3426	60	4	m.	m.	NOUN
ejpam-3426	60	5	zafarullah	zafarullah	PROPN
ejpam-3426	60	6	/	/	SYM
ejpam-3426	60	7	eur	eur	PROPN
ejpam-3426	60	8	.	.	PUNCT
ejpam-3426	61	1	j.	j.	PROPN
ejpam-3426	61	2	pure	pure	PROPN
ejpam-3426	61	3	appl	appl	PROPN
ejpam-3426	61	4	.	.	PROPN
ejpam-3426	61	5	math	math	PROPN
ejpam-3426	61	6	,	,	PUNCT
ejpam-3426	61	7	12	12	NUM
ejpam-3426	61	8	(	(	PUNCT
ejpam-3426	61	9	3	3	NUM
ejpam-3426	61	10	)	)	PUNCT
ejpam-3426	61	11	(	(	PUNCT
ejpam-3426	61	12	2019	2019	NUM
ejpam-3426	61	13	)	)	PUNCT
ejpam-3426	61	14	,	,	PUNCT
ejpam-3426	61	15	1149	1149	NUM
ejpam-3426	61	16	-	-	SYM
ejpam-3426	61	17	1175	1175	NUM
ejpam-3426	61	18	1153	1153	NUM
ejpam-3426	61	19	2.1	2.1	NUM
ejpam-3426	61	20	.	.	PUNCT
ejpam-3426	62	1	estimation	estimation	NOUN
ejpam-3426	62	2	of	of	ADP
ejpam-3426	62	3	the	the	DET
ejpam-3426	62	4	velocity	velocity	NOUN
ejpam-3426	62	5	field	field	NOUN
ejpam-3426	62	6	applying	apply	VERB
ejpam-3426	62	7	the	the	DET
ejpam-3426	62	8	laplace	laplace	NOUN
ejpam-3426	62	9	transform	transform	NOUN
ejpam-3426	62	10	to	to	ADP
ejpam-3426	62	11	eqs	eqs	PROPN
ejpam-3426	62	12	.	.	PUNCT
ejpam-3426	63	1	(	(	PUNCT
ejpam-3426	63	2	3	3	X
ejpam-3426	63	3	)	)	PUNCT
ejpam-3426	63	4	and	and	CCONJ
ejpam-3426	63	5	(	(	PUNCT
ejpam-3426	63	6	4	4	NUM
ejpam-3426	63	7	)	)	PUNCT
ejpam-3426	63	8	and	and	CCONJ
ejpam-3426	63	9	having	have	VERB
ejpam-3426	63	10	in	in	ADP
ejpam-3426	63	11	mind	mind	NOUN
ejpam-3426	63	12	the	the	DET
ejpam-3426	63	13	initial	initial	ADJ
ejpam-3426	63	14	conditions	condition	NOUN
ejpam-3426	63	15	(	(	PUNCT
ejpam-3426	63	16	7	7	NUM
ejpam-3426	63	17	)	)	PUNCT
ejpam-3426	63	18	,	,	PUNCT
ejpam-3426	63	19	since	since	SCONJ
ejpam-3426	63	20	the	the	DET
ejpam-3426	63	21	image	image	NOUN
ejpam-3426	63	22	functions	function	NOUN
ejpam-3426	63	23	ω(r	ω(r	PROPN
ejpam-3426	63	24	,	,	PUNCT
ejpam-3426	63	25	q	q	NOUN
ejpam-3426	63	26	)	)	PUNCT
ejpam-3426	63	27	and	and	CCONJ
ejpam-3426	63	28	v(r	v(r	PROPN
ejpam-3426	63	29	,	,	PUNCT
ejpam-3426	63	30	q	q	X
ejpam-3426	63	31	)	)	PUNCT
ejpam-3426	63	32	be	be	AUX
ejpam-3426	63	33	inverse	inverse	ADJ
ejpam-3426	63	34	laplace	laplace	NOUN
ejpam-3426	63	35	transform	transform	NOUN
ejpam-3426	63	36	,	,	PUNCT
ejpam-3426	63	37	we	we	PRON
ejpam-3426	63	38	find	find	VERB
ejpam-3426	63	39	that	that	SCONJ
ejpam-3426	63	40	as	as	ADP
ejpam-3426	63	41	q	q	PROPN
ejpam-3426	63	42	ω(r	ω(r	PROPN
ejpam-3426	63	43	,	,	PUNCT
ejpam-3426	63	44	q	q	NOUN
ejpam-3426	63	45	)	)	PUNCT
ejpam-3426	63	46	=	=	SYM
ejpam-3426	63	47	ϑ	ϑ	X
ejpam-3426	63	48	(	(	PUNCT
ejpam-3426	63	49	∂2	∂2	X
ejpam-3426	63	50	∂r2	∂r2	NOUN
ejpam-3426	63	51	+	+	CCONJ
ejpam-3426	63	52	1	1	NUM
ejpam-3426	63	53	r	r	NOUN
ejpam-3426	63	54	∂	∂	NOUN
ejpam-3426	63	55	∂r	∂r	NOUN
ejpam-3426	63	56	−	−	NUM
ejpam-3426	63	57	1	1	NUM
ejpam-3426	63	58	r2	r2	PROPN
ejpam-3426	63	59	)	)	PUNCT
ejpam-3426	63	60	ω(r	ω(r	NUM
ejpam-3426	63	61	,	,	PUNCT
ejpam-3426	63	62	q	q	NOUN
ejpam-3426	63	63	)	)	PUNCT
ejpam-3426	64	1	+	+	CCONJ
ejpam-3426	64	2	α	α	PROPN
ejpam-3426	64	3	(	(	PUNCT
ejpam-3426	64	4	∂2	∂2	X
ejpam-3426	64	5	∂r2	∂r2	NOUN
ejpam-3426	64	6	+	+	CCONJ
ejpam-3426	64	7	1	1	NUM
ejpam-3426	64	8	r	r	NOUN
ejpam-3426	64	9	∂	∂	NOUN
ejpam-3426	64	10	∂r	∂r	NOUN
ejpam-3426	64	11	−	−	NUM
ejpam-3426	64	12	1	1	NUM
ejpam-3426	64	13	r2	r2	PROPN
ejpam-3426	64	14	)	)	PUNCT
ejpam-3426	64	15	q	q	PROPN
ejpam-3426	64	16	ω(r	ω(r	NUM
ejpam-3426	64	17	,	,	PUNCT
ejpam-3426	64	18	q	q	X
ejpam-3426	64	19	)	)	PUNCT
ejpam-3426	64	20	−m	−m	NOUN
ejpam-3426	64	21	ω(r	ω(r	PROPN
ejpam-3426	64	22	,	,	PUNCT
ejpam-3426	64	23	q)−	q)−	PROPN
ejpam-3426	64	24	φϑ−	φϑ−	PUNCT
ejpam-3426	64	25	φα	φα	ADP
ejpam-3426	64	26	q	q	PROPN
ejpam-3426	64	27	ω(r	ω(r	PROPN
ejpam-3426	64	28	,	,	PUNCT
ejpam-3426	64	29	q	q	NOUN
ejpam-3426	64	30	)	)	PUNCT
ejpam-3426	64	31	;	;	PUNCT
ejpam-3426	64	32	r	r	NOUN
ejpam-3426	64	33	∈	∈	PROPN
ejpam-3426	64	34	(	(	PUNCT
ejpam-3426	64	35	r1	r1	NOUN
ejpam-3426	64	36	,	,	PUNCT
ejpam-3426	64	37	r2	r2	PROPN
ejpam-3426	64	38	)	)	PUNCT
ejpam-3426	64	39	,	,	PUNCT
ejpam-3426	64	40	(	(	PUNCT
ejpam-3426	64	41	11	11	NUM
ejpam-3426	64	42	)	)	PUNCT
ejpam-3426	64	43	q	q	PROPN
ejpam-3426	64	44	v(r	v(r	PROPN
ejpam-3426	64	45	,	,	PUNCT
ejpam-3426	64	46	q	q	X
ejpam-3426	64	47	)	)	PUNCT
ejpam-3426	64	48	=	=	SYM
ejpam-3426	64	49	ϑ	ϑ	X
ejpam-3426	64	50	(	(	PUNCT
ejpam-3426	64	51	∂2	∂2	X
ejpam-3426	64	52	∂r2	∂r2	NOUN
ejpam-3426	64	53	+	+	CCONJ
ejpam-3426	64	54	1	1	NUM
ejpam-3426	64	55	r	r	NOUN
ejpam-3426	64	56	∂	∂	NOUN
ejpam-3426	64	57	∂r	∂r	NOUN
ejpam-3426	64	58	−	−	NUM
ejpam-3426	64	59	1	1	NUM
ejpam-3426	64	60	r2	r2	PROPN
ejpam-3426	64	61	)	)	PUNCT
ejpam-3426	64	62	v(r	v(r	NOUN
ejpam-3426	64	63	,	,	PUNCT
ejpam-3426	64	64	q	q	NOUN
ejpam-3426	64	65	)	)	PUNCT
ejpam-3426	64	66	+	+	CCONJ
ejpam-3426	64	67	α	α	PROPN
ejpam-3426	64	68	(	(	PUNCT
ejpam-3426	64	69	∂2	∂2	X
ejpam-3426	64	70	∂r2	∂r2	NOUN
ejpam-3426	64	71	+	+	CCONJ
ejpam-3426	64	72	1	1	NUM
ejpam-3426	64	73	r	r	NOUN
ejpam-3426	64	74	∂	∂	NOUN
ejpam-3426	64	75	∂r	∂r	NOUN
ejpam-3426	64	76	−	−	NUM
ejpam-3426	64	77	1	1	NUM
ejpam-3426	64	78	r2	r2	PROPN
ejpam-3426	64	79	)	)	PUNCT
ejpam-3426	64	80	q	q	PROPN
ejpam-3426	64	81	v(r	v(r	PROPN
ejpam-3426	64	82	,	,	PUNCT
ejpam-3426	64	83	q	q	X
ejpam-3426	64	84	)	)	PUNCT
ejpam-3426	64	85	−m	−m	NOUN
ejpam-3426	64	86	v(r	v(r	NOUN
ejpam-3426	64	87	,	,	PUNCT
ejpam-3426	64	88	q)−	q)−	PROPN
ejpam-3426	64	89	φϑ−	φϑ−	PUNCT
ejpam-3426	64	90	φα	φα	ADP
ejpam-3426	64	91	q	q	PROPN
ejpam-3426	64	92	v(r	v(r	PROPN
ejpam-3426	64	93	,	,	PUNCT
ejpam-3426	64	94	q	q	NOUN
ejpam-3426	64	95	)	)	PUNCT
ejpam-3426	64	96	;	;	PUNCT
ejpam-3426	64	97	r	r	NOUN
ejpam-3426	64	98	∈	∈	PROPN
ejpam-3426	64	99	(	(	PUNCT
ejpam-3426	64	100	r1	r1	NOUN
ejpam-3426	64	101	,	,	PUNCT
ejpam-3426	64	102	r2	r2	PROPN
ejpam-3426	64	103	)	)	PUNCT
ejpam-3426	64	104	,	,	PUNCT
ejpam-3426	64	105	(	(	PUNCT
ejpam-3426	64	106	12	12	NUM
ejpam-3426	64	107	)	)	PUNCT
ejpam-3426	64	108	similarly	similarly	ADV
ejpam-3426	64	109	applying	apply	VERB
ejpam-3426	64	110	laplace	laplace	NOUN
ejpam-3426	64	111	transform	transform	NOUN
ejpam-3426	64	112	on	on	ADP
ejpam-3426	64	113	eqs	eqs	PROPN
ejpam-3426	64	114	.	.	PUNCT
ejpam-3426	64	115	(	(	PUNCT
ejpam-3426	64	116	8)	8)	NUM
ejpam-3426	64	117	,	,	PUNCT
ejpam-3426	64	118	(	(	PUNCT
ejpam-3426	64	119	9	9	NUM
ejpam-3426	64	120	)	)	PUNCT
ejpam-3426	64	121	and	and	CCONJ
ejpam-3426	64	122	(	(	PUNCT
ejpam-3426	64	123	10	10	NUM
ejpam-3426	64	124	)	)	PUNCT
ejpam-3426	64	125	,	,	PUNCT
ejpam-3426	64	126	we	we	PRON
ejpam-3426	64	127	get	get	VERB
ejpam-3426	64	128	(	(	PUNCT
ejpam-3426	64	129	∂	∂	NUM
ejpam-3426	65	1	∂r	∂r	NOUN
ejpam-3426	65	2	−	−	NUM
ejpam-3426	65	3	1	1	NUM
ejpam-3426	65	4	r	r	NOUN
ejpam-3426	65	5	)	)	PUNCT
ejpam-3426	65	6	ω(r	ω(r	NUM
ejpam-3426	65	7	,	,	PUNCT
ejpam-3426	65	8	t	t	PROPN
ejpam-3426	65	9	)	)	PUNCT
ejpam-3426	65	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	65	11	r	r	NOUN
ejpam-3426	65	12	=	=	ADJ
ejpam-3426	65	13	r1	r1	NOUN
ejpam-3426	65	14	=	=	SYM
ejpam-3426	65	15	f1	f1	PROPN
ejpam-3426	65	16	p	p	NOUN
ejpam-3426	65	17	!	!	PUNCT
ejpam-3426	65	18	qp+1	qp+1	PROPN
ejpam-3426	66	1	(	(	PUNCT
ejpam-3426	66	2	µ+	µ+	X
ejpam-3426	66	3	α1	α1	PROPN
ejpam-3426	66	4	q	q	NOUN
ejpam-3426	66	5	)	)	PUNCT
ejpam-3426	66	6	;	;	PUNCT
ejpam-3426	66	7	t	t	PROPN
ejpam-3426	66	8	>	>	X
ejpam-3426	66	9	0	0	NUM
ejpam-3426	66	10	,	,	PUNCT
ejpam-3426	66	11	(	(	PUNCT
ejpam-3426	66	12	13	13	NUM
ejpam-3426	66	13	)	)	PUNCT
ejpam-3426	66	14	and	and	CCONJ
ejpam-3426	66	15	∂	∂	NUM
ejpam-3426	66	16	∂r	∂r	PROPN
ejpam-3426	66	17	v(r	v(r	PROPN
ejpam-3426	66	18	,	,	PUNCT
ejpam-3426	66	19	q	q	NOUN
ejpam-3426	66	20	)	)	PUNCT
ejpam-3426	66	21	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	66	22	r	r	NOUN
ejpam-3426	66	23	=	=	NOUN
ejpam-3426	66	24	r1	r1	NOUN
ejpam-3426	66	25	=	=	PUNCT
ejpam-3426	66	26	g1	g1	PROPN
ejpam-3426	66	27	p	p	PROPN
ejpam-3426	66	28	!	!	PUNCT
ejpam-3426	66	29	qp+1	qp+1	PROPN
ejpam-3426	67	1	(	(	PUNCT
ejpam-3426	67	2	µ+	µ+	X
ejpam-3426	67	3	α1	α1	PROPN
ejpam-3426	67	4	q	q	NOUN
ejpam-3426	67	5	)	)	PUNCT
ejpam-3426	67	6	;	;	PUNCT
ejpam-3426	67	7	t	t	PROPN
ejpam-3426	67	8	>	>	X
ejpam-3426	67	9	0	0	NUM
ejpam-3426	67	10	,	,	PUNCT
ejpam-3426	67	11	(	(	PUNCT
ejpam-3426	67	12	14	14	NUM
ejpam-3426	67	13	)	)	PUNCT
ejpam-3426	67	14	also	also	ADV
ejpam-3426	67	15	ω(r2	ω(r2	PROPN
ejpam-3426	67	16	,	,	PUNCT
ejpam-3426	67	17	t	t	PROPN
ejpam-3426	67	18	)	)	PUNCT
ejpam-3426	67	19	=	=	PUNCT
ejpam-3426	68	1	f2	f2	PROPN
ejpam-3426	68	2	p	p	NOUN
ejpam-3426	68	3	!	!	PUNCT
ejpam-3426	69	1	qp+1	qp+1	PROPN
ejpam-3426	69	2	and	and	CCONJ
ejpam-3426	69	3	v(r2	v(r2	NOUN
ejpam-3426	69	4	,	,	PUNCT
ejpam-3426	69	5	t	t	PROPN
ejpam-3426	69	6	)	)	PUNCT
ejpam-3426	70	1	=	=	SYM
ejpam-3426	70	2	g2	g2	PROPN
ejpam-3426	70	3	p	p	X
ejpam-3426	70	4	!	!	PUNCT
ejpam-3426	71	1	qp+1	qp+1	INTJ
ejpam-3426	71	2	.	.	PUNCT
ejpam-3426	72	1	(	(	PUNCT
ejpam-3426	72	2	15	15	NUM
ejpam-3426	72	3	)	)	PUNCT
ejpam-3426	72	4	the	the	DET
ejpam-3426	72	5	hankel	hankel	NOUN
ejpam-3426	72	6	transformation	transformation	NOUN
ejpam-3426	72	7	with	with	ADP
ejpam-3426	72	8	respect	respect	NOUN
ejpam-3426	72	9	to	to	ADP
ejpam-3426	72	10	r	r	NOUN
ejpam-3426	72	11	is	be	AUX
ejpam-3426	72	12	defined	define	VERB
ejpam-3426	72	13	as	as	ADP
ejpam-3426	72	14	[	[	X
ejpam-3426	72	15	2	2	NUM
ejpam-3426	72	16	,	,	PUNCT
ejpam-3426	72	17	3	3	NUM
ejpam-3426	72	18	]	]	PUNCT
ejpam-3426	72	19	wh(r	wh(r	NOUN
ejpam-3426	72	20	,	,	PUNCT
ejpam-3426	72	21	s	s	X
ejpam-3426	72	22	)	)	PUNCT
ejpam-3426	73	1	=	=	SYM
ejpam-3426	73	2	∫	∫	PROPN
ejpam-3426	73	3	r2	r2	PROPN
ejpam-3426	73	4	r1	r1	PROPN
ejpam-3426	73	5	rw(r	rw(r	PROPN
ejpam-3426	73	6	,	,	PUNCT
ejpam-3426	73	7	s)bw(r	s)bw(r	NOUN
ejpam-3426	73	8	,	,	PUNCT
ejpam-3426	73	9	rm)dr	rm)dr	PROPN
ejpam-3426	73	10	,	,	PUNCT
ejpam-3426	73	11	m	m	VERB
ejpam-3426	73	12	=	=	NOUN
ejpam-3426	73	13	1	1	NUM
ejpam-3426	73	14	,	,	PUNCT
ejpam-3426	73	15	2	2	NUM
ejpam-3426	73	16	,	,	PUNCT
ejpam-3426	73	17	3	3	NUM
ejpam-3426	73	18	,	,	PUNCT
ejpam-3426	73	19	...	...	PUNCT
ejpam-3426	73	20	(	(	PUNCT
ejpam-3426	73	21	16	16	NUM
ejpam-3426	73	22	)	)	PUNCT
ejpam-3426	73	23	vh(r	vh(r	ADV
ejpam-3426	73	24	,	,	PUNCT
ejpam-3426	73	25	s	s	X
ejpam-3426	73	26	)	)	PUNCT
ejpam-3426	73	27	=	=	SYM
ejpam-3426	73	28	∫	∫	PROPN
ejpam-3426	73	29	r2	r2	PROPN
ejpam-3426	73	30	r1	r1	PROPN
ejpam-3426	73	31	rv(r	rv(r	PROPN
ejpam-3426	73	32	,	,	PUNCT
ejpam-3426	73	33	s)bv(r	s)bv(r	ADJ
ejpam-3426	73	34	,	,	PUNCT
ejpam-3426	73	35	rn)dr	rn)dr	NOUN
ejpam-3426	73	36	;	;	PUNCT
ejpam-3426	73	37	n	n	NOUN
ejpam-3426	73	38	=	=	SYM
ejpam-3426	73	39	1	1	NUM
ejpam-3426	73	40	,	,	PUNCT
ejpam-3426	73	41	2	2	NUM
ejpam-3426	73	42	,	,	PUNCT
ejpam-3426	73	43	3	3	NUM
ejpam-3426	73	44	,	,	PUNCT
ejpam-3426	73	45	...	...	PUNCT
ejpam-3426	73	46	(	(	PUNCT
ejpam-3426	73	47	17	17	NUM
ejpam-3426	73	48	)	)	PUNCT
ejpam-3426	73	49	m.	m.	NOUN
ejpam-3426	73	50	jamil	jamil	PROPN
ejpam-3426	73	51	,	,	PUNCT
ejpam-3426	73	52	m.	m.	NOUN
ejpam-3426	73	53	zafarullah	zafarullah	PROPN
ejpam-3426	73	54	/	/	SYM
ejpam-3426	73	55	eur	eur	PROPN
ejpam-3426	73	56	.	.	PUNCT
ejpam-3426	74	1	j.	j.	PROPN
ejpam-3426	74	2	pure	pure	PROPN
ejpam-3426	74	3	appl	appl	PROPN
ejpam-3426	74	4	.	.	PROPN
ejpam-3426	74	5	math	math	PROPN
ejpam-3426	74	6	,	,	PUNCT
ejpam-3426	74	7	12	12	NUM
ejpam-3426	74	8	(	(	PUNCT
ejpam-3426	74	9	3	3	NUM
ejpam-3426	74	10	)	)	PUNCT
ejpam-3426	74	11	(	(	PUNCT
ejpam-3426	74	12	2019	2019	NUM
ejpam-3426	74	13	)	)	PUNCT
ejpam-3426	74	14	,	,	PUNCT
ejpam-3426	74	15	1149	1149	NUM
ejpam-3426	74	16	-	-	SYM
ejpam-3426	74	17	1175	1175	NUM
ejpam-3426	74	18	1154	1154	NUM
ejpam-3426	74	19	where	where	SCONJ
ejpam-3426	74	20	bw(r	bw(r	X
ejpam-3426	74	21	,	,	PUNCT
ejpam-3426	74	22	rm	rm	NOUN
ejpam-3426	74	23	)	)	PUNCT
ejpam-3426	74	24	=	=	PROPN
ejpam-3426	74	25	j1(rrm)y2(r1rm)−	j1(rrm)y2(r1rm)−	PROPN
ejpam-3426	74	26	j2(r1rm)y1(rrm	j2(r1rm)y1(rrm	PROPN
ejpam-3426	74	27	)	)	PUNCT
ejpam-3426	74	28	,	,	PUNCT
ejpam-3426	74	29	bv(r	bv(r	X
ejpam-3426	74	30	,	,	PUNCT
ejpam-3426	74	31	rn	rn	PROPN
ejpam-3426	74	32	)	)	PUNCT
ejpam-3426	74	33	=	=	SYM
ejpam-3426	75	1	j0(rrn)y1(r1rn)−	j0(rrn)y1(r1rn)−	NOUN
ejpam-3426	75	2	j1(r1rn)y0(rrn	j1(r1rn)y0(rrn	PROPN
ejpam-3426	75	3	)	)	PUNCT
ejpam-3426	75	4	,	,	PUNCT
ejpam-3426	75	5	also	also	ADV
ejpam-3426	75	6	∫	∫	PROPN
ejpam-3426	75	7	r2	r2	PROPN
ejpam-3426	75	8	r1	r1	PROPN
ejpam-3426	75	9	r	r	PROPN
ejpam-3426	75	10	(	(	PUNCT
ejpam-3426	75	11	∂2	∂2	X
ejpam-3426	75	12	∂r2	∂r2	NOUN
ejpam-3426	75	13	+	+	CCONJ
ejpam-3426	75	14	1	1	NUM
ejpam-3426	75	15	r	r	NOUN
ejpam-3426	75	16	∂	∂	NOUN
ejpam-3426	75	17	∂r	∂r	NOUN
ejpam-3426	75	18	−	−	NUM
ejpam-3426	75	19	1	1	NUM
ejpam-3426	75	20	r2	r2	PROPN
ejpam-3426	75	21	)	)	PUNCT
ejpam-3426	76	1	w(r	w(r	ADJ
ejpam-3426	76	2	,	,	PUNCT
ejpam-3426	76	3	s)bw(r	s)bw(r	NOUN
ejpam-3426	76	4	,	,	PUNCT
ejpam-3426	76	5	rm)dr	rm)dr	PUNCT
ejpam-3426	77	1	=	=	SYM
ejpam-3426	77	2	−r2	−r2	PROPN
ejpam-3426	77	3	mwhm	mwhm	PROPN
ejpam-3426	77	4	+	+	CCONJ
ejpam-3426	77	5	2	2	NUM
ejpam-3426	77	6	πrm	πrm	NOUN
ejpam-3426	77	7	(	(	PUNCT
ejpam-3426	77	8	∂	∂	NOUN
ejpam-3426	78	1	∂r	∂r	NOUN
ejpam-3426	78	2	−	−	NUM
ejpam-3426	78	3	1	1	NUM
ejpam-3426	78	4	r	r	NOUN
ejpam-3426	78	5	)	)	PUNCT
ejpam-3426	79	1	w(r	w(r	PROPN
ejpam-3426	79	2	,	,	PUNCT
ejpam-3426	79	3	s	s	NOUN
ejpam-3426	79	4	)	)	PUNCT
ejpam-3426	79	5	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	79	6	r	r	NOUN
ejpam-3426	79	7	=	=	NOUN
ejpam-3426	79	8	r1	r1	NOUN
ejpam-3426	79	9	+	+	NOUN
ejpam-3426	79	10	rmr2w(r	rmr2w(r	NOUN
ejpam-3426	79	11	,	,	PUNCT
ejpam-3426	79	12	s)dw(r1	s)dw(r1	NOUN
ejpam-3426	79	13	,	,	PUNCT
ejpam-3426	79	14	r2	r2	PROPN
ejpam-3426	79	15	,	,	PUNCT
ejpam-3426	79	16	rm	rm	PROPN
ejpam-3426	79	17	)	)	PUNCT
ejpam-3426	79	18	(	(	PUNCT
ejpam-3426	79	19	18	18	NUM
ejpam-3426	79	20	)	)	PUNCT
ejpam-3426	79	21	∫	∫	PROPN
ejpam-3426	79	22	r2	r2	PROPN
ejpam-3426	79	23	r1	r1	PROPN
ejpam-3426	79	24	r	r	PROPN
ejpam-3426	79	25	(	(	PUNCT
ejpam-3426	79	26	∂2	∂2	X
ejpam-3426	79	27	∂r2	∂r2	NOUN
ejpam-3426	79	28	+	+	CCONJ
ejpam-3426	79	29	1	1	NUM
ejpam-3426	79	30	r	r	NOUN
ejpam-3426	79	31	∂	∂	NOUN
ejpam-3426	79	32	∂r	∂r	PROPN
ejpam-3426	79	33	)	)	PUNCT
ejpam-3426	79	34	v(r	v(r	PROPN
ejpam-3426	79	35	,	,	PUNCT
ejpam-3426	79	36	t)bv(r	t)bv(r	NUM
ejpam-3426	79	37	,	,	PUNCT
ejpam-3426	79	38	rn)dr	rn)dr	PUNCT
ejpam-3426	79	39	=	=	SYM
ejpam-3426	79	40	−r2	−r2	PROPN
ejpam-3426	79	41	nvhn	nvhn	NOUN
ejpam-3426	80	1	+	+	CCONJ
ejpam-3426	80	2	2	2	NUM
ejpam-3426	80	3	πrn	πrn	NOUN
ejpam-3426	80	4	∂	∂	NOUN
ejpam-3426	81	1	∂r	∂r	PROPN
ejpam-3426	81	2	v(r	v(r	PROPN
ejpam-3426	81	3	,	,	PUNCT
ejpam-3426	81	4	s	s	NOUN
ejpam-3426	81	5	)	)	PUNCT
ejpam-3426	81	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3426	82	1	r	r	NOUN
ejpam-3426	82	2	=	=	NOUN
ejpam-3426	82	3	r1	r1	NOUN
ejpam-3426	82	4	+	+	NOUN
ejpam-3426	82	5	rnr2v(r	rnr2v(r	NOUN
ejpam-3426	82	6	,	,	PUNCT
ejpam-3426	82	7	s)dv(r1	s)dv(r1	PROPN
ejpam-3426	82	8	,	,	PUNCT
ejpam-3426	82	9	r2	r2	PROPN
ejpam-3426	82	10	,	,	PUNCT
ejpam-3426	82	11	rn	rn	PROPN
ejpam-3426	82	12	)	)	PUNCT
ejpam-3426	82	13	(	(	PUNCT
ejpam-3426	82	14	19	19	NUM
ejpam-3426	82	15	)	)	PUNCT
ejpam-3426	83	1	where	where	SCONJ
ejpam-3426	83	2	dw(r1	dw(r1	PROPN
ejpam-3426	83	3	,	,	PUNCT
ejpam-3426	83	4	r2	r2	PROPN
ejpam-3426	83	5	,	,	PUNCT
ejpam-3426	83	6	rm	rm	NOUN
ejpam-3426	83	7	)	)	PUNCT
ejpam-3426	83	8	=	=	PUNCT
ejpam-3426	84	1	j2(r2rm)y2(r1rm)−	j2(r2rm)y2(r1rm)−	PROPN
ejpam-3426	84	2	j2(r1rm)y2(r2rm	j2(r1rm)y2(r2rm	NUM
ejpam-3426	84	3	)	)	PUNCT
ejpam-3426	84	4	,	,	PUNCT
ejpam-3426	84	5	dv(r1	dv(r1	PROPN
ejpam-3426	84	6	,	,	PUNCT
ejpam-3426	84	7	r2	r2	PROPN
ejpam-3426	84	8	,	,	PUNCT
ejpam-3426	84	9	rn	rn	NOUN
ejpam-3426	84	10	)	)	PUNCT
ejpam-3426	84	11	=	=	SYM
ejpam-3426	85	1	j1(r2rn)y1(r1rn)−	j1(r2rn)y1(r1rn)−	PROPN
ejpam-3426	85	2	j1(r1rn)y1(r2rn	j1(r1rn)y1(r2rn	PROPN
ejpam-3426	85	3	)	)	PUNCT
ejpam-3426	85	4	.	.	PUNCT
ejpam-3426	86	1	multiplying	multiply	VERB
ejpam-3426	86	2	eqs	eqs	PROPN
ejpam-3426	86	3	.	.	PUNCT
ejpam-3426	87	1	(	(	PUNCT
ejpam-3426	87	2	11	11	NUM
ejpam-3426	87	3	)	)	PUNCT
ejpam-3426	87	4	and	and	CCONJ
ejpam-3426	87	5	(	(	PUNCT
ejpam-3426	87	6	12	12	NUM
ejpam-3426	87	7	)	)	PUNCT
ejpam-3426	87	8	by	by	ADP
ejpam-3426	87	9	rbw(rrm	rbw(rrm	NOUN
ejpam-3426	87	10	)	)	PUNCT
ejpam-3426	87	11	and	and	CCONJ
ejpam-3426	87	12	rbv(rrn	rbv(rrn	NOUN
ejpam-3426	87	13	)	)	PUNCT
ejpam-3426	87	14	,	,	PUNCT
ejpam-3426	87	15	respectively	respectively	ADV
ejpam-3426	87	16	,	,	PUNCT
ejpam-3426	87	17	integrating	integrate	VERB
ejpam-3426	87	18	the	the	DET
ejpam-3426	87	19	results	result	NOUN
ejpam-3426	87	20	with	with	ADP
ejpam-3426	87	21	respect	respect	NOUN
ejpam-3426	87	22	to	to	ADP
ejpam-3426	87	23	r	r	NOUN
ejpam-3426	87	24	from	from	ADP
ejpam-3426	87	25	r1	r1	PROPN
ejpam-3426	87	26	to	to	ADP
ejpam-3426	87	27	r2	r2	PROPN
ejpam-3426	87	28	and	and	CCONJ
ejpam-3426	87	29	using	use	VERB
ejpam-3426	87	30	the	the	DET
ejpam-3426	87	31	boundary	boundary	ADJ
ejpam-3426	87	32	conditions	condition	NOUN
ejpam-3426	87	33	(	(	PUNCT
ejpam-3426	87	34	13	13	NUM
ejpam-3426	87	35	)	)	PUNCT
ejpam-3426	87	36	,	,	PUNCT
ejpam-3426	87	37	(	(	PUNCT
ejpam-3426	87	38	14	14	NUM
ejpam-3426	87	39	)	)	PUNCT
ejpam-3426	87	40	and	and	CCONJ
ejpam-3426	87	41	(	(	PUNCT
ejpam-3426	87	42	15	15	NUM
ejpam-3426	87	43	)	)	PUNCT
ejpam-3426	87	44	and	and	CCONJ
ejpam-3426	87	45	the	the	DET
ejpam-3426	87	46	identities	identity	NOUN
ejpam-3426	87	47	(	(	PUNCT
ejpam-3426	87	48	18	18	NUM
ejpam-3426	87	49	)	)	PUNCT
ejpam-3426	87	50	,	,	PUNCT
ejpam-3426	87	51	(	(	PUNCT
ejpam-3426	87	52	19	19	NUM
ejpam-3426	87	53	)	)	PUNCT
ejpam-3426	87	54	,	,	PUNCT
ejpam-3426	87	55	we	we	PRON
ejpam-3426	87	56	find	find	VERB
ejpam-3426	87	57	that	that	SCONJ
ejpam-3426	87	58	ωh(r	ωh(r	ADV
ejpam-3426	87	59	,	,	PUNCT
ejpam-3426	87	60	q	q	X
ejpam-3426	87	61	)	)	PUNCT
ejpam-3426	87	62	=	=	SYM
ejpam-3426	87	63	2f1p	2f1p	NUM
ejpam-3426	87	64	!	!	PUNCT
ejpam-3426	88	1	π	π	PROPN
ejpam-3426	88	2	rm	rm	PROPN
ejpam-3426	88	3	qp+1ρ	qp+1ρ	PROPN
ejpam-3426	88	4	(	(	PUNCT
ejpam-3426	88	5	ϑ+	ϑ+	X
ejpam-3426	88	6	αq	αq	NUM
ejpam-3426	88	7	)	)	PUNCT
ejpam-3426	88	8	ϑ+	ϑ+	NOUN
ejpam-3426	88	9	αq	αq	X
ejpam-3426	88	10	q	q	PUNCT
ejpam-3426	89	1	+	+	NOUN
ejpam-3426	89	2	m	m	VERB
ejpam-3426	89	3	+	+	NOUN
ejpam-3426	89	4	φ(ϑ+	φ(ϑ+	NUM
ejpam-3426	89	5	αq	αq	NOUN
ejpam-3426	89	6	)	)	PUNCT
ejpam-3426	89	7	+	+	NUM
ejpam-3426	89	8	r2	r2	PROPN
ejpam-3426	89	9	m(ϑ+	m(ϑ+	ADJ
ejpam-3426	89	10	αq	αq	ADP
ejpam-3426	89	11	)	)	PUNCT
ejpam-3426	90	1	+	+	ADP
ejpam-3426	90	2	f2r2	f2r2	X
ejpam-3426	90	3	rm	rm	NOUN
ejpam-3426	90	4	p	p	X
ejpam-3426	90	5	!	!	PUNCT
ejpam-3426	91	1	dω(r1	dω(r1	NOUN
ejpam-3426	91	2	,	,	PUNCT
ejpam-3426	91	3	r2	r2	PROPN
ejpam-3426	91	4	,	,	PUNCT
ejpam-3426	91	5	rm	rm	NOUN
ejpam-3426	91	6	)	)	PUNCT
ejpam-3426	91	7	1	1	NUM
ejpam-3426	91	8	qp+1	qp+1	NOUN
ejpam-3426	91	9	ϑ+	ϑ+	X
ejpam-3426	91	10	αq	αq	X
ejpam-3426	91	11	q	q	PUNCT
ejpam-3426	92	1	+	+	NOUN
ejpam-3426	92	2	m	m	VERB
ejpam-3426	92	3	+	+	NOUN
ejpam-3426	92	4	φ(ϑ+	φ(ϑ+	NUM
ejpam-3426	92	5	αq	αq	NOUN
ejpam-3426	92	6	)	)	PUNCT
ejpam-3426	92	7	+	+	NUM
ejpam-3426	92	8	r2	r2	PROPN
ejpam-3426	92	9	m(ϑ+	m(ϑ+	ADJ
ejpam-3426	92	10	αq	αq	ADP
ejpam-3426	92	11	)	)	PUNCT
ejpam-3426	92	12	,	,	PUNCT
ejpam-3426	92	13	(	(	PUNCT
ejpam-3426	92	14	20	20	NUM
ejpam-3426	92	15	)	)	PUNCT
ejpam-3426	92	16	vh(r	vh(r	ADV
ejpam-3426	92	17	,	,	PUNCT
ejpam-3426	92	18	q	q	X
ejpam-3426	92	19	)	)	PUNCT
ejpam-3426	92	20	=	=	SYM
ejpam-3426	92	21	2g1p	2g1p	NOUN
ejpam-3426	92	22	!	!	PUNCT
ejpam-3426	93	1	π	π	PROPN
ejpam-3426	93	2	rn	rn	PROPN
ejpam-3426	93	3	qp+1ρ	qp+1ρ	PROPN
ejpam-3426	93	4	(	(	PUNCT
ejpam-3426	93	5	ϑ+	ϑ+	X
ejpam-3426	93	6	αq	αq	NUM
ejpam-3426	93	7	)	)	PUNCT
ejpam-3426	93	8	ϑ+	ϑ+	NOUN
ejpam-3426	93	9	αq	αq	X
ejpam-3426	93	10	q	q	PUNCT
ejpam-3426	94	1	+	+	NOUN
ejpam-3426	94	2	m	m	VERB
ejpam-3426	94	3	+	+	NOUN
ejpam-3426	94	4	φ(ϑ+	φ(ϑ+	NUM
ejpam-3426	94	5	αq	αq	NOUN
ejpam-3426	94	6	)	)	PUNCT
ejpam-3426	94	7	+	+	CCONJ
ejpam-3426	94	8	r2	r2	PROPN
ejpam-3426	94	9	n(ϑ+	n(ϑ+	PROPN
ejpam-3426	94	10	αq	αq	PROPN
ejpam-3426	94	11	)	)	PUNCT
ejpam-3426	94	12	m.	m.	NOUN
ejpam-3426	94	13	jamil	jamil	PROPN
ejpam-3426	94	14	,	,	PUNCT
ejpam-3426	94	15	m.	m.	NOUN
ejpam-3426	94	16	zafarullah	zafarullah	PROPN
ejpam-3426	94	17	/	/	SYM
ejpam-3426	94	18	eur	eur	PROPN
ejpam-3426	94	19	.	.	PUNCT
ejpam-3426	95	1	j.	j.	PROPN
ejpam-3426	95	2	pure	pure	PROPN
ejpam-3426	95	3	appl	appl	PROPN
ejpam-3426	95	4	.	.	PROPN
ejpam-3426	95	5	math	math	PROPN
ejpam-3426	95	6	,	,	PUNCT
ejpam-3426	95	7	12	12	NUM
ejpam-3426	95	8	(	(	PUNCT
ejpam-3426	95	9	3	3	NUM
ejpam-3426	95	10	)	)	PUNCT
ejpam-3426	95	11	(	(	PUNCT
ejpam-3426	95	12	2019	2019	NUM
ejpam-3426	95	13	)	)	PUNCT
ejpam-3426	95	14	,	,	PUNCT
ejpam-3426	96	1	1149	1149	NUM
ejpam-3426	96	2	-	-	SYM
ejpam-3426	96	3	1175	1175	NUM
ejpam-3426	96	4	1155	1155	NUM
ejpam-3426	96	5	+	+	PROPN
ejpam-3426	96	6	g2r2	g2r2	X
ejpam-3426	96	7	rn	rn	NOUN
ejpam-3426	96	8	p	p	X
ejpam-3426	96	9	!	!	PUNCT
ejpam-3426	97	1	dv(r1	dv(r1	PROPN
ejpam-3426	97	2	,	,	PUNCT
ejpam-3426	97	3	r2	r2	PROPN
ejpam-3426	97	4	,	,	PUNCT
ejpam-3426	97	5	rn	rn	NOUN
ejpam-3426	97	6	)	)	PUNCT
ejpam-3426	97	7	1	1	NUM
ejpam-3426	97	8	qp+1	qp+1	NOUN
ejpam-3426	97	9	ϑ+	ϑ+	X
ejpam-3426	97	10	αq	αq	X
ejpam-3426	97	11	q	q	PUNCT
ejpam-3426	98	1	+	+	NOUN
ejpam-3426	98	2	m	m	VERB
ejpam-3426	98	3	+	+	NOUN
ejpam-3426	98	4	φ(ϑ+	φ(ϑ+	NUM
ejpam-3426	98	5	αq	αq	NOUN
ejpam-3426	98	6	)	)	PUNCT
ejpam-3426	98	7	+	+	CCONJ
ejpam-3426	98	8	r2	r2	PROPN
ejpam-3426	98	9	n(ϑ+	n(ϑ+	PROPN
ejpam-3426	98	10	αq	αq	PROPN
ejpam-3426	98	11	)	)	PUNCT
ejpam-3426	98	12	.	.	PUNCT
ejpam-3426	99	1	(	(	PUNCT
ejpam-3426	99	2	21	21	NUM
ejpam-3426	99	3	)	)	PUNCT
ejpam-3426	99	4	after	after	ADP
ejpam-3426	99	5	modifying	modify	VERB
ejpam-3426	99	6	the	the	DET
ejpam-3426	99	7	aforesaid	aforesaid	ADJ
ejpam-3426	99	8	outcomes	outcome	NOUN
ejpam-3426	99	9	(	(	PUNCT
ejpam-3426	99	10	20	20	NUM
ejpam-3426	99	11	)	)	PUNCT
ejpam-3426	99	12	and	and	CCONJ
ejpam-3426	99	13	(	(	PUNCT
ejpam-3426	99	14	21	21	NUM
ejpam-3426	99	15	)	)	PUNCT
ejpam-3426	99	16	in	in	ADP
ejpam-3426	99	17	more	more	ADV
ejpam-3426	99	18	appropriate	appropriate	ADJ
ejpam-3426	99	19	interchangeable	interchangeable	ADJ
ejpam-3426	99	20	pattern	pattern	NOUN
ejpam-3426	99	21	,	,	PUNCT
ejpam-3426	99	22	we	we	PRON
ejpam-3426	99	23	get	get	VERB
ejpam-3426	99	24	ωh(r	ωh(r	ADV
ejpam-3426	99	25	,	,	PUNCT
ejpam-3426	99	26	q	q	X
ejpam-3426	99	27	)	)	PUNCT
ejpam-3426	99	28	=	=	SYM
ejpam-3426	100	1	2f1	2f1	NUM
ejpam-3426	100	2	π	π	PROPN
ejpam-3426	100	3	µ	µ	X
ejpam-3426	100	4	r3	r3	PROPN
ejpam-3426	100	5	m	m	NOUN
ejpam-3426	100	6	p	p	NOUN
ejpam-3426	100	7	!	!	PUNCT
ejpam-3426	101	1	qp+1	qp+1	PROPN
ejpam-3426	102	1	−	−	NOUN
ejpam-3426	103	1	2f1	2f1	NUM
ejpam-3426	103	2	π	π	PROPN
ejpam-3426	103	3	µ	µ	X
ejpam-3426	103	4	r3	r3	PROPN
ejpam-3426	103	5	m	m	NOUN
ejpam-3426	103	6	p	p	NOUN
ejpam-3426	103	7	!	!	PUNCT
ejpam-3426	103	8	qp	qp	X
ejpam-3426	104	1	[	[	X
ejpam-3426	104	2	1	1	NUM
ejpam-3426	104	3	+	+	NUM
ejpam-3426	104	4	α(φ	α(φ	PROPN
ejpam-3426	104	5	+	+	NUM
ejpam-3426	104	6	r2	r2	PROPN
ejpam-3426	104	7	m	m	PROPN
ejpam-3426	104	8	)	)	PUNCT
ejpam-3426	104	9	]	]	PUNCT
ejpam-3426	105	1	+	+	CCONJ
ejpam-3426	105	2	(	(	PUNCT
ejpam-3426	105	3	m	m	VERB
ejpam-3426	105	4	+	+	NUM
ejpam-3426	105	5	φϑ)q−1	φϑ)q−1	NOUN
ejpam-3426	106	1	[	[	X
ejpam-3426	106	2	1	1	NUM
ejpam-3426	106	3	+	+	NUM
ejpam-3426	106	4	α(φ	α(φ	PROPN
ejpam-3426	106	5	+	+	NUM
ejpam-3426	106	6	r2	r2	PROPN
ejpam-3426	106	7	m	m	PROPN
ejpam-3426	106	8	)	)	PUNCT
ejpam-3426	106	9	]	]	PUNCT
ejpam-3426	107	1	+	+	CCONJ
ejpam-3426	108	1	[	[	X
ejpam-3426	108	2	m	m	X
ejpam-3426	108	3	+	+	ADJ
ejpam-3426	108	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	108	5	+	+	CCONJ
ejpam-3426	108	6	r2	r2	PROPN
ejpam-3426	108	7	m	m	PROPN
ejpam-3426	108	8	)	)	PUNCT
ejpam-3426	108	9	]	]	PUNCT
ejpam-3426	109	1	+	+	PUNCT
ejpam-3426	109	2	f2r2	f2r2	X
ejpam-3426	109	3	rm	rm	NOUN
ejpam-3426	109	4	dω(r1	dω(r1	X
ejpam-3426	109	5	,	,	PUNCT
ejpam-3426	109	6	r2	r2	PROPN
ejpam-3426	109	7	,	,	PUNCT
ejpam-3426	109	8	rm	rm	NOUN
ejpam-3426	109	9	)	)	PUNCT
ejpam-3426	109	10	[	[	PUNCT
ejpam-3426	109	11	p	p	X
ejpam-3426	109	12	!	!	PUNCT
ejpam-3426	109	13	qp+1	qp+1	PROPN
ejpam-3426	110	1	+	+	CCONJ
ejpam-3426	110	2	p	p	X
ejpam-3426	110	3	!	!	PUNCT
ejpam-3426	110	4	qp+1	qp+1	PROPN
ejpam-3426	111	1	[	[	X
ejpam-3426	111	2	m	m	X
ejpam-3426	111	3	+	+	ADJ
ejpam-3426	111	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	111	5	+	+	CCONJ
ejpam-3426	111	6	r2	r2	PROPN
ejpam-3426	111	7	m	m	VERB
ejpam-3426	111	8	−	−	PROPN
ejpam-3426	111	9	1	1	NUM
ejpam-3426	111	10	)	)	PUNCT
ejpam-3426	111	11	]	]	PUNCT
ejpam-3426	112	1	+	+	CCONJ
ejpam-3426	112	2	[	[	X
ejpam-3426	112	3	1	1	NUM
ejpam-3426	112	4	+	+	NUM
ejpam-3426	112	5	α(φ	α(φ	PROPN
ejpam-3426	112	6	+	+	NUM
ejpam-3426	112	7	r2	r2	PROPN
ejpam-3426	112	8	m	m	PROPN
ejpam-3426	112	9	−	−	PROPN
ejpam-3426	112	10	1)]q	1)]q	NUM
ejpam-3426	113	1	[	[	X
ejpam-3426	113	2	1	1	NUM
ejpam-3426	113	3	+	+	NUM
ejpam-3426	113	4	α(φ	α(φ	PROPN
ejpam-3426	113	5	+	+	NUM
ejpam-3426	113	6	r2	r2	PROPN
ejpam-3426	113	7	m)]q	m)]q	NOUN
ejpam-3426	113	8	+	+	CCONJ
ejpam-3426	114	1	[	[	X
ejpam-3426	114	2	m	m	X
ejpam-3426	114	3	+	+	ADJ
ejpam-3426	114	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	114	5	+	+	CCONJ
ejpam-3426	114	6	r2	r2	PROPN
ejpam-3426	114	7	m	m	PROPN
ejpam-3426	114	8	)	)	PUNCT
ejpam-3426	114	9	]	]	PUNCT
ejpam-3426	114	10	]	]	PUNCT
ejpam-3426	114	11	,	,	PUNCT
ejpam-3426	114	12	(	(	PUNCT
ejpam-3426	114	13	22	22	NUM
ejpam-3426	114	14	)	)	PUNCT
ejpam-3426	114	15	vh(r	vh(r	ADV
ejpam-3426	114	16	,	,	PUNCT
ejpam-3426	114	17	q	q	X
ejpam-3426	114	18	)	)	PUNCT
ejpam-3426	114	19	=	=	SYM
ejpam-3426	115	1	2g1	2g1	PROPN
ejpam-3426	115	2	π	π	PROPN
ejpam-3426	115	3	µ	µ	X
ejpam-3426	115	4	r3	r3	PROPN
ejpam-3426	115	5	n	n	PRON
ejpam-3426	115	6	p	p	NOUN
ejpam-3426	115	7	!	!	PUNCT
ejpam-3426	116	1	qp+1	qp+1	PROPN
ejpam-3426	117	1	−	−	NOUN
ejpam-3426	118	1	2g1	2g1	NUM
ejpam-3426	118	2	π	π	PROPN
ejpam-3426	118	3	µ	µ	X
ejpam-3426	118	4	r3	r3	PROPN
ejpam-3426	118	5	n	n	PRON
ejpam-3426	118	6	p	p	NOUN
ejpam-3426	118	7	!	!	PUNCT
ejpam-3426	118	8	qp	qp	X
ejpam-3426	119	1	[	[	X
ejpam-3426	119	2	1	1	NUM
ejpam-3426	119	3	+	+	NUM
ejpam-3426	119	4	α(φ	α(φ	PROPN
ejpam-3426	119	5	+	+	NUM
ejpam-3426	119	6	r2	r2	PROPN
ejpam-3426	119	7	n	n	CCONJ
ejpam-3426	119	8	)	)	PUNCT
ejpam-3426	119	9	]	]	PUNCT
ejpam-3426	120	1	+	+	CCONJ
ejpam-3426	120	2	(	(	PUNCT
ejpam-3426	120	3	m	m	VERB
ejpam-3426	120	4	+	+	NUM
ejpam-3426	120	5	φϑ)q−1	φϑ)q−1	NOUN
ejpam-3426	121	1	[	[	X
ejpam-3426	121	2	1	1	NUM
ejpam-3426	121	3	+	+	NUM
ejpam-3426	121	4	α(φ	α(φ	PROPN
ejpam-3426	121	5	+	+	NUM
ejpam-3426	121	6	r2	r2	PROPN
ejpam-3426	121	7	n	n	CCONJ
ejpam-3426	121	8	)	)	PUNCT
ejpam-3426	121	9	]	]	PUNCT
ejpam-3426	122	1	+	+	CCONJ
ejpam-3426	123	1	[	[	X
ejpam-3426	123	2	m	m	X
ejpam-3426	123	3	+	+	ADJ
ejpam-3426	123	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	123	5	+	+	CCONJ
ejpam-3426	123	6	r2	r2	PROPN
ejpam-3426	123	7	n	n	CCONJ
ejpam-3426	123	8	)	)	PUNCT
ejpam-3426	123	9	]	]	PUNCT
ejpam-3426	124	1	+	+	ADJ
ejpam-3426	124	2	g2r2	g2r2	X
ejpam-3426	124	3	rn	rn	PROPN
ejpam-3426	124	4	dv(r1	dv(r1	PROPN
ejpam-3426	124	5	,	,	PUNCT
ejpam-3426	124	6	r2	r2	PROPN
ejpam-3426	124	7	,	,	PUNCT
ejpam-3426	124	8	rn	rn	PROPN
ejpam-3426	124	9	)	)	PUNCT
ejpam-3426	124	10	[	[	PUNCT
ejpam-3426	124	11	p	p	X
ejpam-3426	124	12	!	!	PUNCT
ejpam-3426	124	13	qp+1	qp+1	PROPN
ejpam-3426	125	1	+	+	CCONJ
ejpam-3426	125	2	p	p	X
ejpam-3426	125	3	!	!	PUNCT
ejpam-3426	125	4	qp+1	qp+1	PROPN
ejpam-3426	126	1	[	[	X
ejpam-3426	126	2	m	m	X
ejpam-3426	126	3	+	+	ADJ
ejpam-3426	126	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	126	5	+	+	CCONJ
ejpam-3426	126	6	r2	r2	PROPN
ejpam-3426	126	7	n	n	CCONJ
ejpam-3426	126	8	−	−	PROPN
ejpam-3426	126	9	1	1	NUM
ejpam-3426	126	10	)	)	PUNCT
ejpam-3426	126	11	]	]	PUNCT
ejpam-3426	127	1	+	+	CCONJ
ejpam-3426	127	2	[	[	X
ejpam-3426	127	3	1	1	NUM
ejpam-3426	127	4	+	+	NUM
ejpam-3426	127	5	α(φ	α(φ	PROPN
ejpam-3426	127	6	+	+	NUM
ejpam-3426	127	7	r2	r2	PROPN
ejpam-3426	127	8	n	n	PRON
ejpam-3426	127	9	−	−	PROPN
ejpam-3426	127	10	1)]q	1)]q	NUM
ejpam-3426	128	1	[	[	X
ejpam-3426	128	2	1	1	NUM
ejpam-3426	128	3	+	+	NUM
ejpam-3426	128	4	α(φ	α(φ	PROPN
ejpam-3426	128	5	+	+	NUM
ejpam-3426	128	6	r2	r2	NOUN
ejpam-3426	128	7	n)]q	n)]q	ADV
ejpam-3426	128	8	+	+	CCONJ
ejpam-3426	129	1	[	[	X
ejpam-3426	129	2	m	m	X
ejpam-3426	129	3	+	+	ADJ
ejpam-3426	129	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	129	5	+	+	CCONJ
ejpam-3426	129	6	r2	r2	PROPN
ejpam-3426	129	7	n	n	CCONJ
ejpam-3426	129	8	)	)	PUNCT
ejpam-3426	129	9	]	]	PUNCT
ejpam-3426	129	10	]	]	PUNCT
ejpam-3426	129	11	.	.	PUNCT
ejpam-3426	130	1	(	(	PUNCT
ejpam-3426	130	2	23	23	NUM
ejpam-3426	130	3	)	)	PUNCT
ejpam-3426	130	4	additionally	additionally	ADV
ejpam-3426	130	5	,	,	PUNCT
ejpam-3426	130	6	we	we	PRON
ejpam-3426	130	7	have	have	VERB
ejpam-3426	130	8	the	the	DET
ejpam-3426	130	9	relation	relation	NOUN
ejpam-3426	130	10	of	of	ADP
ejpam-3426	130	11	discrete	discrete	ADJ
ejpam-3426	130	12	inverse	inverse	NOUN
ejpam-3426	130	13	hankel	hankel	NOUN
ejpam-3426	130	14	transform	transform	NOUN
ejpam-3426	130	15	,	,	PUNCT
ejpam-3426	130	16	and	and	CCONJ
ejpam-3426	130	17	apply	apply	VERB
ejpam-3426	130	18	the	the	DET
ejpam-3426	130	19	discrete	discrete	ADJ
ejpam-3426	130	20	inverse	inverse	NOUN
ejpam-3426	130	21	hankel	hankel	NOUN
ejpam-3426	130	22	transform	transform	VERB
ejpam-3426	130	23	formulae	formulae	NOUN
ejpam-3426	130	24	to	to	ADP
ejpam-3426	130	25	(	(	PUNCT
ejpam-3426	130	26	22	22	NUM
ejpam-3426	130	27	)	)	PUNCT
ejpam-3426	130	28	and	and	CCONJ
ejpam-3426	130	29	(	(	PUNCT
ejpam-3426	130	30	23	23	NUM
ejpam-3426	130	31	)	)	PUNCT
ejpam-3426	130	32	,	,	PUNCT
ejpam-3426	130	33	then	then	ADV
ejpam-3426	130	34	we	we	PRON
ejpam-3426	130	35	get	get	VERB
ejpam-3426	130	36	the	the	DET
ejpam-3426	130	37	equations	equation	NOUN
ejpam-3426	130	38	ω(r	ω(r	PROPN
ejpam-3426	130	39	,	,	PUNCT
ejpam-3426	130	40	q	q	X
ejpam-3426	130	41	)	)	PUNCT
ejpam-3426	130	42	=	=	SYM
ejpam-3426	130	43	f1	f1	NOUN
ejpam-3426	130	44	2µ	2µ	NUM
ejpam-3426	130	45	(	(	PUNCT
ejpam-3426	130	46	r1	r1	PROPN
ejpam-3426	130	47	r2	r2	PROPN
ejpam-3426	130	48	)	)	PUNCT
ejpam-3426	130	49	2	2	NUM
ejpam-3426	130	50	(	(	PUNCT
ejpam-3426	130	51	r	r	NOUN
ejpam-3426	130	52	−	−	PROPN
ejpam-3426	130	53	r2	r2	NOUN
ejpam-3426	130	54	2	2	NUM
ejpam-3426	130	55	r	r	NOUN
ejpam-3426	130	56	)	)	PUNCT
ejpam-3426	130	57	p	p	NOUN
ejpam-3426	130	58	!	!	PUNCT
ejpam-3426	131	1	qp+1	qp+1	PROPN
ejpam-3426	132	1	−	−	ADP
ejpam-3426	132	2	f1π	f1π	PROPN
ejpam-3426	132	3	µ	µ	PROPN
ejpam-3426	132	4	∞∑	∞∑	PROPN
ejpam-3426	132	5	m=1	m=1	PROPN
ejpam-3426	132	6	j2	j2	PROPN
ejpam-3426	132	7	1	1	NUM
ejpam-3426	132	8	(	(	PUNCT
ejpam-3426	132	9	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	132	10	)	)	PUNCT
ejpam-3426	132	11	rm[j2	rm[j2	PROPN
ejpam-3426	132	12	2	2	NUM
ejpam-3426	132	13	(	(	PUNCT
ejpam-3426	132	14	r1rm)−	r1rm)−	NOUN
ejpam-3426	132	15	j2	j2	NOUN
ejpam-3426	132	16	1	1	NUM
ejpam-3426	132	17	(	(	PUNCT
ejpam-3426	132	18	r2rm	r2rm	NOUN
ejpam-3426	132	19	)	)	PUNCT
ejpam-3426	132	20	]	]	PUNCT
ejpam-3426	132	21	1	1	NUM
ejpam-3426	132	22	1	1	NUM
ejpam-3426	132	23	+	+	CCONJ
ejpam-3426	132	24	α(φ	α(φ	PROPN
ejpam-3426	132	25	+	+	NUM
ejpam-3426	132	26	r2	r2	PROPN
ejpam-3426	132	27	m	m	PROPN
ejpam-3426	132	28	)	)	PUNCT
ejpam-3426	132	29	×	×	NOUN
ejpam-3426	132	30	[	[	PUNCT
ejpam-3426	132	31	p	p	X
ejpam-3426	132	32	!	!	PUNCT
ejpam-3426	133	1	qp	qp	ADP
ejpam-3426	133	2	1	1	NUM
ejpam-3426	134	1	+	+	CCONJ
ejpam-3426	134	2	α(φ	α(φ	PROPN
ejpam-3426	134	3	+	+	NUM
ejpam-3426	134	4	r2	r2	PROPN
ejpam-3426	134	5	m	m	PROPN
ejpam-3426	134	6	)	)	PUNCT
ejpam-3426	134	7	q	q	NOUN
ejpam-3426	135	1	+	+	NUM
ejpam-3426	135	2	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	135	3	m	m	NOUN
ejpam-3426	135	4	)	)	PUNCT
ejpam-3426	135	5	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	135	6	m	m	NOUN
ejpam-3426	135	7	)	)	PUNCT
ejpam-3426	136	1	+	+	X
ejpam-3426	136	2	p	p	X
ejpam-3426	136	3	!	!	PUNCT
ejpam-3426	136	4	qp+1	qp+1	INTJ
ejpam-3426	137	1	m	m	VERB
ejpam-3426	138	1	+	+	NOUN
ejpam-3426	138	2	φ	φ	X
ejpam-3426	138	3	ϑ	ϑ	X
ejpam-3426	138	4	q	q	X
ejpam-3426	138	5	+	+	NUM
ejpam-3426	138	6	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	138	7	m	m	NOUN
ejpam-3426	138	8	)	)	PUNCT
ejpam-3426	138	9	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	138	10	m	m	NOUN
ejpam-3426	138	11	)	)	PUNCT
ejpam-3426	138	12	]	]	PUNCT
ejpam-3426	139	1	+	+	CCONJ
ejpam-3426	139	2	f2r2π	f2r2π	SYM
ejpam-3426	139	3	2	2	NUM
ejpam-3426	139	4	2	2	NUM
ejpam-3426	139	5	∞∑	∞∑	PROPN
ejpam-3426	139	6	m=1	m=1	PROPN
ejpam-3426	139	7	r3	r3	PROPN
ejpam-3426	139	8	mj	mj	NOUN
ejpam-3426	139	9	2	2	NUM
ejpam-3426	139	10	1	1	NUM
ejpam-3426	139	11	(	(	PUNCT
ejpam-3426	139	12	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	139	13	)	)	PUNCT
ejpam-3426	139	14	dω(r1	dω(r1	NOUN
ejpam-3426	139	15	,	,	PUNCT
ejpam-3426	139	16	r2	r2	PROPN
ejpam-3426	139	17	,	,	PUNCT
ejpam-3426	139	18	rm	rm	PROPN
ejpam-3426	139	19	)	)	PUNCT
ejpam-3426	139	20	j2	j2	PROPN
ejpam-3426	139	21	2	2	NUM
ejpam-3426	139	22	(	(	PUNCT
ejpam-3426	139	23	r1rm)−	r1rm)−	NOUN
ejpam-3426	139	24	j2	j2	NOUN
ejpam-3426	139	25	1	1	NUM
ejpam-3426	139	26	(	(	PUNCT
ejpam-3426	139	27	r2rm	r2rm	NOUN
ejpam-3426	139	28	)	)	PUNCT
ejpam-3426	139	29	×	×	NOUN
ejpam-3426	139	30	[	[	PUNCT
ejpam-3426	139	31	p	p	X
ejpam-3426	139	32	!	!	PUNCT
ejpam-3426	139	33	qp+1	qp+1	NOUN
ejpam-3426	140	1	−	−	NOUN
ejpam-3426	141	1	1	1	NUM
ejpam-3426	141	2	1	1	NUM
ejpam-3426	141	3	+	+	CCONJ
ejpam-3426	141	4	α(φ	α(φ	PROPN
ejpam-3426	141	5	+	+	NUM
ejpam-3426	141	6	r2	r2	PROPN
ejpam-3426	141	7	m	m	PROPN
ejpam-3426	141	8	)	)	PUNCT
ejpam-3426	141	9	{	{	PUNCT
ejpam-3426	141	10	p	p	X
ejpam-3426	141	11	!	!	PUNCT
ejpam-3426	141	12	qp+1	qp+1	PROPN
ejpam-3426	142	1	m	m	VERB
ejpam-3426	142	2	+	+	ADJ
ejpam-3426	142	3	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	142	4	+	+	CCONJ
ejpam-3426	142	5	r2	r2	PROPN
ejpam-3426	142	6	m	m	VERB
ejpam-3426	142	7	−	−	PROPN
ejpam-3426	142	8	1	1	NUM
ejpam-3426	142	9	)	)	PUNCT
ejpam-3426	142	10	q	q	NOUN
ejpam-3426	143	1	+	+	NUM
ejpam-3426	143	2	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	143	3	m	m	NOUN
ejpam-3426	143	4	)	)	PUNCT
ejpam-3426	143	5	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	143	6	m	m	NOUN
ejpam-3426	143	7	)	)	PUNCT
ejpam-3426	144	1	+	+	CCONJ
ejpam-3426	145	1	p	p	X
ejpam-3426	145	2	!	!	PUNCT
ejpam-3426	146	1	qp	qp	ADP
ejpam-3426	146	2	1	1	NUM
ejpam-3426	147	1	+	+	CCONJ
ejpam-3426	147	2	α(φ	α(φ	PROPN
ejpam-3426	147	3	+	+	NUM
ejpam-3426	147	4	r2	r2	PROPN
ejpam-3426	147	5	m	m	VERB
ejpam-3426	147	6	−	−	PROPN
ejpam-3426	147	7	1	1	NUM
ejpam-3426	147	8	)	)	PUNCT
ejpam-3426	147	9	q	q	NOUN
ejpam-3426	148	1	+	+	NUM
ejpam-3426	148	2	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	148	3	m	m	NOUN
ejpam-3426	148	4	)	)	PUNCT
ejpam-3426	148	5	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	148	6	m	m	NOUN
ejpam-3426	148	7	)	)	PUNCT
ejpam-3426	148	8	}	}	PUNCT
ejpam-3426	148	9	]	]	PUNCT
ejpam-3426	148	10	,	,	PUNCT
ejpam-3426	148	11	(	(	PUNCT
ejpam-3426	148	12	24	24	NUM
ejpam-3426	148	13	)	)	PUNCT
ejpam-3426	148	14	v(r	v(r	PROPN
ejpam-3426	148	15	,	,	PUNCT
ejpam-3426	148	16	t	t	PROPN
ejpam-3426	148	17	)	)	PUNCT
ejpam-3426	148	18	=	=	PROPN
ejpam-3426	148	19	g1	g1	PROPN
ejpam-3426	148	20	2µ	2µ	NUM
ejpam-3426	149	1	r1	r1	PROPN
ejpam-3426	150	1	ln	ln	ADV
ejpam-3426	151	1	(	(	PUNCT
ejpam-3426	151	2	r	r	NOUN
ejpam-3426	151	3	r2	r2	PROPN
ejpam-3426	151	4	)	)	PUNCT
ejpam-3426	152	1	p	p	NOUN
ejpam-3426	152	2	!	!	PUNCT
ejpam-3426	153	1	qp+1	qp+1	INTJ
ejpam-3426	154	1	−	−	NOUN
ejpam-3426	154	2	g1π	g1π	NOUN
ejpam-3426	154	3	µ	µ	NOUN
ejpam-3426	154	4	∞∑	∞∑	NUM
ejpam-3426	154	5	n=1	n=1	PROPN
ejpam-3426	154	6	j2	j2	PROPN
ejpam-3426	154	7	0	0	NUM
ejpam-3426	154	8	(	(	PUNCT
ejpam-3426	154	9	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	154	10	)	)	PUNCT
ejpam-3426	154	11	rn[j2	rn[j2	PROPN
ejpam-3426	154	12	1	1	NUM
ejpam-3426	154	13	(	(	PUNCT
ejpam-3426	154	14	r1rn)−	r1rn)−	NOUN
ejpam-3426	154	15	j2	j2	PROPN
ejpam-3426	154	16	0	0	NUM
ejpam-3426	154	17	(	(	PUNCT
ejpam-3426	154	18	r2rn	r2rn	NOUN
ejpam-3426	154	19	)	)	PUNCT
ejpam-3426	154	20	]	]	PUNCT
ejpam-3426	155	1	1	1	NUM
ejpam-3426	155	2	1	1	NUM
ejpam-3426	155	3	+	+	CCONJ
ejpam-3426	155	4	α(φ	α(φ	PROPN
ejpam-3426	155	5	+	+	NUM
ejpam-3426	155	6	r2	r2	PROPN
ejpam-3426	155	7	n	n	CCONJ
ejpam-3426	155	8	)	)	PUNCT
ejpam-3426	155	9	m.	m.	NOUN
ejpam-3426	155	10	jamil	jamil	PROPN
ejpam-3426	155	11	,	,	PUNCT
ejpam-3426	155	12	m.	m.	NOUN
ejpam-3426	155	13	zafarullah	zafarullah	PROPN
ejpam-3426	155	14	/	/	SYM
ejpam-3426	155	15	eur	eur	PROPN
ejpam-3426	155	16	.	.	PUNCT
ejpam-3426	156	1	j.	j.	PROPN
ejpam-3426	156	2	pure	pure	PROPN
ejpam-3426	156	3	appl	appl	PROPN
ejpam-3426	156	4	.	.	PROPN
ejpam-3426	156	5	math	math	PROPN
ejpam-3426	156	6	,	,	PUNCT
ejpam-3426	156	7	12	12	NUM
ejpam-3426	156	8	(	(	PUNCT
ejpam-3426	156	9	3	3	NUM
ejpam-3426	156	10	)	)	PUNCT
ejpam-3426	156	11	(	(	PUNCT
ejpam-3426	156	12	2019	2019	NUM
ejpam-3426	156	13	)	)	PUNCT
ejpam-3426	156	14	,	,	PUNCT
ejpam-3426	156	15	1149	1149	NUM
ejpam-3426	156	16	-	-	SYM
ejpam-3426	156	17	1175	1175	NUM
ejpam-3426	156	18	1156	1156	NUM
ejpam-3426	156	19	×	×	NOUN
ejpam-3426	156	20	[	[	PUNCT
ejpam-3426	156	21	p	p	X
ejpam-3426	156	22	!	!	PUNCT
ejpam-3426	157	1	qp	qp	ADP
ejpam-3426	157	2	1	1	NUM
ejpam-3426	158	1	+	+	CCONJ
ejpam-3426	158	2	α(φ	α(φ	PROPN
ejpam-3426	158	3	+	+	NUM
ejpam-3426	158	4	r2	r2	PROPN
ejpam-3426	158	5	n	n	CCONJ
ejpam-3426	158	6	)	)	PUNCT
ejpam-3426	158	7	q	q	PROPN
ejpam-3426	159	1	+	+	CCONJ
ejpam-3426	159	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	159	3	)	)	PUNCT
ejpam-3426	159	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	159	5	)	)	PUNCT
ejpam-3426	160	1	+	+	X
ejpam-3426	160	2	p	p	X
ejpam-3426	160	3	!	!	PUNCT
ejpam-3426	160	4	qp+1	qp+1	INTJ
ejpam-3426	161	1	m	m	VERB
ejpam-3426	162	1	+	+	NOUN
ejpam-3426	162	2	φ	φ	X
ejpam-3426	162	3	ϑ	ϑ	X
ejpam-3426	162	4	q	q	X
ejpam-3426	162	5	+	+	NUM
ejpam-3426	162	6	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	162	7	)	)	PUNCT
ejpam-3426	162	8	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	162	9	)	)	PUNCT
ejpam-3426	162	10	]	]	PUNCT
ejpam-3426	163	1	+	+	CCONJ
ejpam-3426	163	2	g2r2π	g2r2π	NUM
ejpam-3426	163	3	2	2	NUM
ejpam-3426	163	4	2	2	NUM
ejpam-3426	163	5	∞∑	∞∑	NUM
ejpam-3426	163	6	n=1	n=1	PROPN
ejpam-3426	163	7	r3	r3	PROPN
ejpam-3426	163	8	nj	nj	PROPN
ejpam-3426	163	9	2	2	NUM
ejpam-3426	163	10	0	0	NUM
ejpam-3426	163	11	(	(	PUNCT
ejpam-3426	163	12	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	163	13	)	)	PUNCT
ejpam-3426	163	14	dv(r1	dv(r1	NOUN
ejpam-3426	163	15	,	,	PUNCT
ejpam-3426	163	16	r2	r2	PROPN
ejpam-3426	163	17	,	,	PUNCT
ejpam-3426	163	18	rn	rn	PROPN
ejpam-3426	163	19	)	)	PUNCT
ejpam-3426	163	20	j2	j2	NOUN
ejpam-3426	163	21	1	1	NUM
ejpam-3426	163	22	(	(	PUNCT
ejpam-3426	163	23	r1rn)−	r1rn)−	NOUN
ejpam-3426	163	24	j2	j2	PROPN
ejpam-3426	163	25	0	0	NUM
ejpam-3426	163	26	(	(	PUNCT
ejpam-3426	163	27	r2rn	r2rn	PROPN
ejpam-3426	163	28	)	)	PUNCT
ejpam-3426	163	29	×	×	NOUN
ejpam-3426	163	30	[	[	PUNCT
ejpam-3426	163	31	p	p	X
ejpam-3426	163	32	!	!	PUNCT
ejpam-3426	163	33	qq+1	qq+1	PROPN
ejpam-3426	164	1	−	−	NOUN
ejpam-3426	164	2	1	1	NUM
ejpam-3426	164	3	1	1	NUM
ejpam-3426	164	4	+	+	CCONJ
ejpam-3426	164	5	α(φ	α(φ	PROPN
ejpam-3426	164	6	+	+	NUM
ejpam-3426	164	7	r2	r2	PROPN
ejpam-3426	164	8	n	n	CCONJ
ejpam-3426	164	9	)	)	PUNCT
ejpam-3426	164	10	{	{	PUNCT
ejpam-3426	165	1	p	p	X
ejpam-3426	165	2	!	!	PUNCT
ejpam-3426	165	3	qp+1	qp+1	PROPN
ejpam-3426	166	1	m	m	VERB
ejpam-3426	166	2	+	+	ADJ
ejpam-3426	166	3	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	166	4	+	+	CCONJ
ejpam-3426	166	5	r2	r2	PROPN
ejpam-3426	166	6	n	n	CCONJ
ejpam-3426	166	7	−	−	PROPN
ejpam-3426	166	8	1	1	NUM
ejpam-3426	166	9	)	)	PUNCT
ejpam-3426	166	10	q	q	NOUN
ejpam-3426	167	1	+	+	CCONJ
ejpam-3426	167	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	167	3	)	)	PUNCT
ejpam-3426	167	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	167	5	)	)	PUNCT
ejpam-3426	168	1	+	+	CCONJ
ejpam-3426	168	2	p	p	X
ejpam-3426	168	3	!	!	PUNCT
ejpam-3426	169	1	qp	qp	ADP
ejpam-3426	169	2	1	1	NUM
ejpam-3426	170	1	+	+	CCONJ
ejpam-3426	170	2	α(φ	α(φ	PROPN
ejpam-3426	170	3	+	+	NUM
ejpam-3426	170	4	r2	r2	PROPN
ejpam-3426	170	5	n	n	CCONJ
ejpam-3426	170	6	−	−	PROPN
ejpam-3426	170	7	1	1	NUM
ejpam-3426	170	8	)	)	PUNCT
ejpam-3426	170	9	q	q	NOUN
ejpam-3426	171	1	+	+	CCONJ
ejpam-3426	171	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	171	3	)	)	PUNCT
ejpam-3426	171	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	171	5	)	)	PUNCT
ejpam-3426	171	6	}	}	PUNCT
ejpam-3426	171	7	]	]	PUNCT
ejpam-3426	171	8	.	.	PUNCT
ejpam-3426	172	1	(	(	PUNCT
ejpam-3426	172	2	25	25	NUM
ejpam-3426	172	3	)	)	PUNCT
ejpam-3426	172	4	in	in	ADP
ejpam-3426	172	5	order	order	NOUN
ejpam-3426	172	6	to	to	PART
ejpam-3426	172	7	get	get	VERB
ejpam-3426	172	8	the	the	DET
ejpam-3426	172	9	result	result	NOUN
ejpam-3426	172	10	of	of	ADP
ejpam-3426	172	11	velocity	velocity	NOUN
ejpam-3426	172	12	field	field	NOUN
ejpam-3426	172	13	for	for	ADP
ejpam-3426	172	14	rotational	rotational	ADJ
ejpam-3426	172	15	and	and	CCONJ
ejpam-3426	172	16	longitude	longitude	ADJ
ejpam-3426	172	17	cases	case	NOUN
ejpam-3426	172	18	as	as	ADP
ejpam-3426	172	19	ω(r	ω(r	PROPN
ejpam-3426	172	20	,	,	PUNCT
ejpam-3426	172	21	t	t	PROPN
ejpam-3426	172	22	)	)	PUNCT
ejpam-3426	172	23	=	=	SYM
ejpam-3426	172	24	l[ω(r	l[ω(r	PROPN
ejpam-3426	172	25	,	,	PUNCT
ejpam-3426	172	26	q	q	NOUN
ejpam-3426	172	27	)	)	PUNCT
ejpam-3426	172	28	]	]	PUNCT
ejpam-3426	172	29	and	and	CCONJ
ejpam-3426	172	30	v(r	v(r	PROPN
ejpam-3426	172	31	,	,	PUNCT
ejpam-3426	172	32	t	t	PROPN
ejpam-3426	172	33	)	)	PUNCT
ejpam-3426	172	34	=	=	SYM
ejpam-3426	173	1	l[v(r	l[v(r	ADJ
ejpam-3426	173	2	,	,	PUNCT
ejpam-3426	173	3	q	q	NOUN
ejpam-3426	173	4	)	)	PUNCT
ejpam-3426	173	5	]	]	PUNCT
ejpam-3426	173	6	respectively	respectively	ADV
ejpam-3426	173	7	,	,	PUNCT
ejpam-3426	173	8	applying	apply	VERB
ejpam-3426	173	9	the	the	DET
ejpam-3426	173	10	convolution	convolution	NOUN
ejpam-3426	173	11	theorem	theorem	NOUN
ejpam-3426	173	12	of	of	ADP
ejpam-3426	173	13	inverse	inverse	ADJ
ejpam-3426	173	14	laplace	laplace	NOUN
ejpam-3426	173	15	transformation	transformation	NOUN
ejpam-3426	173	16	on	on	ADP
ejpam-3426	173	17	eqs	eqs	PROPN
ejpam-3426	173	18	.	.	PUNCT
ejpam-3426	174	1	(	(	PUNCT
ejpam-3426	174	2	24	24	NUM
ejpam-3426	174	3	)	)	PUNCT
ejpam-3426	174	4	and	and	CCONJ
ejpam-3426	174	5	(	(	PUNCT
ejpam-3426	174	6	25	25	NUM
ejpam-3426	174	7	)	)	PUNCT
ejpam-3426	174	8	,	,	PUNCT
ejpam-3426	174	9	we	we	PRON
ejpam-3426	174	10	get	get	VERB
ejpam-3426	174	11	the	the	DET
ejpam-3426	174	12	velocity	velocity	NOUN
ejpam-3426	174	13	field	field	NOUN
ejpam-3426	174	14	for	for	ADP
ejpam-3426	174	15	rotational	rotational	ADJ
ejpam-3426	174	16	case	case	NOUN
ejpam-3426	174	17	ω(r	ω(r	NUM
ejpam-3426	174	18	,	,	PUNCT
ejpam-3426	174	19	t	t	PROPN
ejpam-3426	174	20	)	)	PUNCT
ejpam-3426	175	1	=	=	SYM
ejpam-3426	175	2	f1	f1	NOUN
ejpam-3426	175	3	2µ	2µ	NUM
ejpam-3426	175	4	(	(	PUNCT
ejpam-3426	175	5	r1	r1	PROPN
ejpam-3426	175	6	r2	r2	PROPN
ejpam-3426	175	7	)	)	PUNCT
ejpam-3426	175	8	2	2	NUM
ejpam-3426	175	9	(	(	PUNCT
ejpam-3426	175	10	r	r	NOUN
ejpam-3426	175	11	−	−	PROPN
ejpam-3426	175	12	r2	r2	NOUN
ejpam-3426	175	13	2	2	NUM
ejpam-3426	175	14	r	r	NOUN
ejpam-3426	175	15	)	)	PUNCT
ejpam-3426	175	16	tp	tp	ADP
ejpam-3426	175	17	−	−	PROPN
ejpam-3426	175	18	f1π	f1π	PROPN
ejpam-3426	175	19	µ	µ	PROPN
ejpam-3426	175	20	∞∑	∞∑	PROPN
ejpam-3426	175	21	m=1	m=1	PROPN
ejpam-3426	175	22	j2	j2	PROPN
ejpam-3426	175	23	1	1	NUM
ejpam-3426	175	24	(	(	PUNCT
ejpam-3426	175	25	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	175	26	)	)	PUNCT
ejpam-3426	175	27	rm[j2	rm[j2	PROPN
ejpam-3426	175	28	2	2	NUM
ejpam-3426	175	29	(	(	PUNCT
ejpam-3426	175	30	r1rm)−	r1rm)−	NOUN
ejpam-3426	175	31	j2	j2	NOUN
ejpam-3426	175	32	1	1	NUM
ejpam-3426	175	33	(	(	PUNCT
ejpam-3426	175	34	r2rm	r2rm	NOUN
ejpam-3426	175	35	)	)	PUNCT
ejpam-3426	175	36	]	]	PUNCT
ejpam-3426	175	37	1	1	NUM
ejpam-3426	175	38	1	1	NUM
ejpam-3426	175	39	+	+	CCONJ
ejpam-3426	175	40	α(φ	α(φ	PROPN
ejpam-3426	175	41	+	+	NUM
ejpam-3426	175	42	r2	r2	PROPN
ejpam-3426	175	43	m	m	PROPN
ejpam-3426	175	44	)	)	PUNCT
ejpam-3426	176	1	×	×	NOUN
ejpam-3426	176	2	∫	∫	PROPN
ejpam-3426	176	3	t	t	PROPN
ejpam-3426	176	4	0	0	NUM
ejpam-3426	176	5	(	(	PUNCT
ejpam-3426	176	6	t−	t−	X
ejpam-3426	176	7	u)p	u)p	NOUN
ejpam-3426	176	8	[	[	PUNCT
ejpam-3426	176	9	p	p	X
ejpam-3426	176	10	(	(	PUNCT
ejpam-3426	176	11	1	1	NUM
ejpam-3426	176	12	+	+	NUM
ejpam-3426	176	13	α(φ	α(φ	PROPN
ejpam-3426	176	14	+	+	NUM
ejpam-3426	176	15	r2	r2	PROPN
ejpam-3426	176	16	m	m	PROPN
ejpam-3426	176	17	)	)	PUNCT
ejpam-3426	176	18	)	)	PUNCT
ejpam-3426	177	1	t−	t−	PRON
ejpam-3426	177	2	u	u	PROPN
ejpam-3426	177	3	+	+	NOUN
ejpam-3426	177	4	m	m	VERB
ejpam-3426	177	5	+	+	ADJ
ejpam-3426	177	6	φϑ	φϑ	X
ejpam-3426	177	7	]	]	PUNCT
ejpam-3426	177	8	exp	exp	NOUN
ejpam-3426	177	9	[	[	PUNCT
ejpam-3426	177	10	−	−	PROPN
ejpam-3426	177	11	m	m	PROPN
ejpam-3426	177	12	+	+	X
ejpam-3426	177	13	ϑ	ϑ	X
ejpam-3426	177	14	(	(	PUNCT
ejpam-3426	177	15	φ	φ	PROPN
ejpam-3426	177	16	+	+	X
ejpam-3426	177	17	r2	r2	PROPN
ejpam-3426	177	18	m	m	PROPN
ejpam-3426	177	19	)	)	PUNCT
ejpam-3426	177	20	1	1	NUM
ejpam-3426	177	21	+	+	NUM
ejpam-3426	177	22	α	α	PROPN
ejpam-3426	177	23	(	(	PUNCT
ejpam-3426	177	24	φ	φ	PROPN
ejpam-3426	177	25	+	+	CCONJ
ejpam-3426	177	26	r2	r2	PROPN
ejpam-3426	177	27	m	m	PROPN
ejpam-3426	177	28	)	)	PUNCT
ejpam-3426	177	29	u	u	NOUN
ejpam-3426	177	30	]	]	PUNCT
ejpam-3426	177	31	du	du	PROPN
ejpam-3426	177	32	+	+	CCONJ
ejpam-3426	177	33	f2r2π	f2r2π	NUM
ejpam-3426	177	34	2	2	NUM
ejpam-3426	177	35	2	2	NUM
ejpam-3426	177	36	∞∑	∞∑	PROPN
ejpam-3426	177	37	m=1	m=1	PROPN
ejpam-3426	177	38	r3	r3	PROPN
ejpam-3426	177	39	mj	mj	NOUN
ejpam-3426	177	40	2	2	NUM
ejpam-3426	177	41	1	1	NUM
ejpam-3426	177	42	(	(	PUNCT
ejpam-3426	177	43	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	177	44	)	)	PUNCT
ejpam-3426	177	45	dω(r1	dω(r1	NOUN
ejpam-3426	177	46	,	,	PUNCT
ejpam-3426	177	47	r2	r2	PROPN
ejpam-3426	177	48	,	,	PUNCT
ejpam-3426	177	49	rm	rm	PROPN
ejpam-3426	177	50	)	)	PUNCT
ejpam-3426	177	51	j2	j2	PROPN
ejpam-3426	177	52	2	2	NUM
ejpam-3426	177	53	(	(	PUNCT
ejpam-3426	177	54	r1rm)−	r1rm)−	NOUN
ejpam-3426	177	55	j2	j2	NOUN
ejpam-3426	177	56	1	1	NUM
ejpam-3426	177	57	(	(	PUNCT
ejpam-3426	177	58	r2rm	r2rm	NOUN
ejpam-3426	177	59	)	)	PUNCT
ejpam-3426	177	60	{	{	PUNCT
ejpam-3426	177	61	tp	tp	ADP
ejpam-3426	177	62	−	−	NUM
ejpam-3426	177	63	1	1	NUM
ejpam-3426	177	64	1	1	NUM
ejpam-3426	177	65	+	+	CCONJ
ejpam-3426	177	66	α(φ	α(φ	PROPN
ejpam-3426	177	67	+	+	NUM
ejpam-3426	177	68	r2	r2	PROPN
ejpam-3426	177	69	m	m	PROPN
ejpam-3426	177	70	)	)	PUNCT
ejpam-3426	178	1	∫	∫	PROPN
ejpam-3426	178	2	t	t	PROPN
ejpam-3426	178	3	0	0	NUM
ejpam-3426	178	4	(	(	PUNCT
ejpam-3426	178	5	t−	t−	X
ejpam-3426	178	6	u)p	u)p	ADJ
ejpam-3426	178	7	×	×	NOUN
ejpam-3426	178	8	[	[	PUNCT
ejpam-3426	178	9	[	[	X
ejpam-3426	178	10	m	m	X
ejpam-3426	178	11	+	+	ADJ
ejpam-3426	178	12	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	178	13	+	+	CCONJ
ejpam-3426	178	14	r2	r2	PROPN
ejpam-3426	178	15	m	m	VERB
ejpam-3426	178	16	−	−	PROPN
ejpam-3426	178	17	1	1	NUM
ejpam-3426	178	18	)	)	PUNCT
ejpam-3426	178	19	]	]	PUNCT
ejpam-3426	179	1	+	+	CCONJ
ejpam-3426	179	2	p[1	p[1	X
ejpam-3426	179	3	+	+	CCONJ
ejpam-3426	179	4	α(φ	α(φ	PROPN
ejpam-3426	179	5	+	+	NUM
ejpam-3426	179	6	r2	r2	PROPN
ejpam-3426	179	7	m	m	VERB
ejpam-3426	179	8	−	−	PROPN
ejpam-3426	179	9	1	1	NUM
ejpam-3426	179	10	)	)	PUNCT
ejpam-3426	179	11	]	]	PUNCT
ejpam-3426	179	12	t−	t−	PROPN
ejpam-3426	179	13	u	u	NOUN
ejpam-3426	179	14	]	]	X
ejpam-3426	179	15	exp	exp	NOUN
ejpam-3426	179	16	[	[	PUNCT
ejpam-3426	179	17	−	−	PROPN
ejpam-3426	179	18	m	m	PROPN
ejpam-3426	179	19	+	+	X
ejpam-3426	179	20	ϑ	ϑ	X
ejpam-3426	179	21	(	(	PUNCT
ejpam-3426	179	22	φ	φ	PROPN
ejpam-3426	179	23	+	+	X
ejpam-3426	179	24	r2	r2	PROPN
ejpam-3426	179	25	m	m	PROPN
ejpam-3426	179	26	)	)	PUNCT
ejpam-3426	179	27	1	1	NUM
ejpam-3426	180	1	+	+	NUM
ejpam-3426	180	2	α	α	PROPN
ejpam-3426	180	3	(	(	PUNCT
ejpam-3426	180	4	φ	φ	PROPN
ejpam-3426	180	5	+	+	CCONJ
ejpam-3426	180	6	r2	r2	PROPN
ejpam-3426	180	7	m	m	PROPN
ejpam-3426	180	8	)	)	PUNCT
ejpam-3426	180	9	u	u	NOUN
ejpam-3426	180	10	]	]	PUNCT
ejpam-3426	180	11	du	du	X
ejpam-3426	180	12	}	}	PUNCT
ejpam-3426	180	13	,	,	PUNCT
ejpam-3426	180	14	(	(	PUNCT
ejpam-3426	180	15	26	26	NUM
ejpam-3426	180	16	)	)	PUNCT
ejpam-3426	180	17	and	and	CCONJ
ejpam-3426	180	18	for	for	ADP
ejpam-3426	180	19	longitude	longitude	ADJ
ejpam-3426	180	20	case	case	NOUN
ejpam-3426	180	21	,	,	PUNCT
ejpam-3426	180	22	we	we	PRON
ejpam-3426	180	23	have	have	VERB
ejpam-3426	180	24	v(r	v(r	NOUN
ejpam-3426	180	25	,	,	PUNCT
ejpam-3426	180	26	q	q	X
ejpam-3426	180	27	)	)	PUNCT
ejpam-3426	180	28	=	=	PUNCT
ejpam-3426	180	29	g1	g1	PROPN
ejpam-3426	180	30	2µ	2µ	NUM
ejpam-3426	180	31	r1	r1	PROPN
ejpam-3426	180	32	ln	ln	ADV
ejpam-3426	181	1	(	(	PUNCT
ejpam-3426	181	2	r	r	NOUN
ejpam-3426	181	3	r2	r2	PROPN
ejpam-3426	181	4	)	)	PUNCT
ejpam-3426	182	1	tp	tp	ADP
ejpam-3426	182	2	−	−	PROPN
ejpam-3426	182	3	g1π	g1π	NOUN
ejpam-3426	182	4	µ	µ	NOUN
ejpam-3426	182	5	∞∑	∞∑	NUM
ejpam-3426	182	6	n=1	n=1	PROPN
ejpam-3426	182	7	j2	j2	PROPN
ejpam-3426	182	8	0	0	NUM
ejpam-3426	182	9	(	(	PUNCT
ejpam-3426	182	10	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	182	11	)	)	PUNCT
ejpam-3426	182	12	rn[j2	rn[j2	PROPN
ejpam-3426	182	13	1	1	NUM
ejpam-3426	182	14	(	(	PUNCT
ejpam-3426	182	15	r1rn)−	r1rn)−	NOUN
ejpam-3426	182	16	j2	j2	PROPN
ejpam-3426	182	17	0	0	NUM
ejpam-3426	182	18	(	(	PUNCT
ejpam-3426	182	19	r2rn	r2rn	NOUN
ejpam-3426	182	20	)	)	PUNCT
ejpam-3426	182	21	]	]	PUNCT
ejpam-3426	182	22	1	1	NUM
ejpam-3426	182	23	1	1	NUM
ejpam-3426	182	24	+	+	CCONJ
ejpam-3426	182	25	α(φ	α(φ	PROPN
ejpam-3426	182	26	+	+	NUM
ejpam-3426	182	27	r2	r2	PROPN
ejpam-3426	182	28	n	n	CCONJ
ejpam-3426	182	29	)	)	PUNCT
ejpam-3426	182	30	×	×	NOUN
ejpam-3426	182	31	∫	∫	PROPN
ejpam-3426	182	32	t	t	PROPN
ejpam-3426	182	33	0	0	NUM
ejpam-3426	183	1	(	(	PUNCT
ejpam-3426	183	2	t−	t−	X
ejpam-3426	183	3	u)p	u)p	NOUN
ejpam-3426	183	4	[	[	PUNCT
ejpam-3426	183	5	p	p	X
ejpam-3426	183	6	(	(	PUNCT
ejpam-3426	183	7	1	1	NUM
ejpam-3426	183	8	+	+	NUM
ejpam-3426	183	9	α(φ	α(φ	PROPN
ejpam-3426	183	10	+	+	NUM
ejpam-3426	183	11	r2	r2	PROPN
ejpam-3426	183	12	n	n	CCONJ
ejpam-3426	183	13	)	)	PUNCT
ejpam-3426	183	14	)	)	PUNCT
ejpam-3426	184	1	t−	t−	PRON
ejpam-3426	184	2	u	u	PROPN
ejpam-3426	184	3	+	+	NOUN
ejpam-3426	184	4	m	m	VERB
ejpam-3426	184	5	+	+	ADJ
ejpam-3426	184	6	φϑ	φϑ	X
ejpam-3426	184	7	]	]	PUNCT
ejpam-3426	184	8	exp	exp	NOUN
ejpam-3426	184	9	[	[	PUNCT
ejpam-3426	184	10	−	−	PROPN
ejpam-3426	184	11	m	m	PROPN
ejpam-3426	184	12	+	+	X
ejpam-3426	184	13	ϑ	ϑ	X
ejpam-3426	184	14	(	(	PUNCT
ejpam-3426	184	15	φ	φ	PROPN
ejpam-3426	184	16	+	+	CCONJ
ejpam-3426	184	17	r2	r2	PROPN
ejpam-3426	184	18	n	n	CCONJ
ejpam-3426	184	19	)	)	PUNCT
ejpam-3426	184	20	1	1	NUM
ejpam-3426	184	21	+	+	NUM
ejpam-3426	184	22	α	α	PROPN
ejpam-3426	184	23	(	(	PUNCT
ejpam-3426	184	24	φ	φ	PROPN
ejpam-3426	184	25	+	+	CCONJ
ejpam-3426	184	26	r2	r2	PROPN
ejpam-3426	184	27	n	n	CCONJ
ejpam-3426	184	28	)	)	PUNCT
ejpam-3426	184	29	u	u	NOUN
ejpam-3426	184	30	]	]	X
ejpam-3426	184	31	du	du	X
ejpam-3426	184	32	+	+	CCONJ
ejpam-3426	184	33	g2r2π	g2r2π	NUM
ejpam-3426	184	34	2	2	NUM
ejpam-3426	184	35	2	2	NUM
ejpam-3426	184	36	∞∑	∞∑	NUM
ejpam-3426	184	37	n=1	n=1	PROPN
ejpam-3426	184	38	r3	r3	PROPN
ejpam-3426	184	39	nj	nj	PROPN
ejpam-3426	184	40	2	2	NUM
ejpam-3426	184	41	0	0	NUM
ejpam-3426	184	42	(	(	PUNCT
ejpam-3426	184	43	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	184	44	)	)	PUNCT
ejpam-3426	184	45	dv(r1	dv(r1	NOUN
ejpam-3426	184	46	,	,	PUNCT
ejpam-3426	184	47	r2	r2	PROPN
ejpam-3426	184	48	,	,	PUNCT
ejpam-3426	184	49	rn	rn	PROPN
ejpam-3426	184	50	)	)	PUNCT
ejpam-3426	184	51	j2	j2	NOUN
ejpam-3426	184	52	1	1	NUM
ejpam-3426	184	53	(	(	PUNCT
ejpam-3426	184	54	r1rn)−	r1rn)−	NOUN
ejpam-3426	184	55	j2	j2	PROPN
ejpam-3426	184	56	0	0	NUM
ejpam-3426	184	57	(	(	PUNCT
ejpam-3426	184	58	r2rn	r2rn	NOUN
ejpam-3426	184	59	)	)	PUNCT
ejpam-3426	184	60	{	{	PUNCT
ejpam-3426	184	61	tp	tp	ADP
ejpam-3426	184	62	−	−	NUM
ejpam-3426	184	63	1	1	NUM
ejpam-3426	184	64	1	1	NUM
ejpam-3426	184	65	+	+	CCONJ
ejpam-3426	184	66	α(φ	α(φ	PROPN
ejpam-3426	184	67	+	+	NUM
ejpam-3426	184	68	r2	r2	PROPN
ejpam-3426	184	69	n	n	CCONJ
ejpam-3426	184	70	)	)	PUNCT
ejpam-3426	184	71	∫	∫	PROPN
ejpam-3426	185	1	t	t	PROPN
ejpam-3426	185	2	0	0	NUM
ejpam-3426	185	3	(	(	PUNCT
ejpam-3426	185	4	t−	t−	X
ejpam-3426	185	5	u)p	u)p	ADJ
ejpam-3426	185	6	×	×	NOUN
ejpam-3426	185	7	[	[	PUNCT
ejpam-3426	185	8	[	[	X
ejpam-3426	185	9	m	m	X
ejpam-3426	185	10	+	+	ADJ
ejpam-3426	185	11	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	185	12	+	+	CCONJ
ejpam-3426	185	13	r2	r2	PROPN
ejpam-3426	185	14	n	n	CCONJ
ejpam-3426	185	15	−	−	PROPN
ejpam-3426	185	16	1	1	NUM
ejpam-3426	185	17	)	)	PUNCT
ejpam-3426	185	18	]	]	PUNCT
ejpam-3426	186	1	+	+	CCONJ
ejpam-3426	186	2	p[1	p[1	X
ejpam-3426	186	3	+	+	CCONJ
ejpam-3426	186	4	α(φ	α(φ	PROPN
ejpam-3426	186	5	+	+	NUM
ejpam-3426	186	6	r2	r2	PROPN
ejpam-3426	186	7	n	n	CCONJ
ejpam-3426	186	8	−	−	PROPN
ejpam-3426	186	9	1	1	NUM
ejpam-3426	186	10	)	)	PUNCT
ejpam-3426	186	11	]	]	PUNCT
ejpam-3426	186	12	t−	t−	PROPN
ejpam-3426	186	13	u	u	NOUN
ejpam-3426	186	14	]	]	X
ejpam-3426	186	15	exp	exp	NOUN
ejpam-3426	186	16	[	[	PUNCT
ejpam-3426	186	17	−	−	PROPN
ejpam-3426	186	18	m	m	PROPN
ejpam-3426	186	19	+	+	X
ejpam-3426	186	20	ϑ	ϑ	X
ejpam-3426	186	21	(	(	PUNCT
ejpam-3426	186	22	φ	φ	PROPN
ejpam-3426	186	23	+	+	CCONJ
ejpam-3426	186	24	r2	r2	PROPN
ejpam-3426	186	25	n	n	CCONJ
ejpam-3426	186	26	)	)	PUNCT
ejpam-3426	186	27	1	1	NUM
ejpam-3426	186	28	+	+	NUM
ejpam-3426	186	29	α	α	PROPN
ejpam-3426	186	30	(	(	PUNCT
ejpam-3426	186	31	φ	φ	PROPN
ejpam-3426	186	32	+	+	CCONJ
ejpam-3426	186	33	r2	r2	PROPN
ejpam-3426	186	34	n	n	CCONJ
ejpam-3426	186	35	)	)	PUNCT
ejpam-3426	186	36	u	u	NOUN
ejpam-3426	186	37	]	]	PUNCT
ejpam-3426	186	38	du	du	X
ejpam-3426	186	39	}	}	PUNCT
ejpam-3426	186	40	.	.	PUNCT
ejpam-3426	187	1	(	(	PUNCT
ejpam-3426	187	2	27	27	NUM
ejpam-3426	187	3	)	)	PUNCT
ejpam-3426	187	4	m.	m.	NOUN
ejpam-3426	187	5	jamil	jamil	PROPN
ejpam-3426	187	6	,	,	PUNCT
ejpam-3426	187	7	m.	m.	NOUN
ejpam-3426	187	8	zafarullah	zafarullah	PROPN
ejpam-3426	187	9	/	/	SYM
ejpam-3426	187	10	eur	eur	PROPN
ejpam-3426	187	11	.	.	PUNCT
ejpam-3426	188	1	j.	j.	PROPN
ejpam-3426	188	2	pure	pure	PROPN
ejpam-3426	188	3	appl	appl	PROPN
ejpam-3426	188	4	.	.	PROPN
ejpam-3426	188	5	math	math	PROPN
ejpam-3426	188	6	,	,	PUNCT
ejpam-3426	188	7	12	12	NUM
ejpam-3426	188	8	(	(	PUNCT
ejpam-3426	188	9	3	3	NUM
ejpam-3426	188	10	)	)	PUNCT
ejpam-3426	188	11	(	(	PUNCT
ejpam-3426	188	12	2019	2019	NUM
ejpam-3426	188	13	)	)	PUNCT
ejpam-3426	188	14	,	,	PUNCT
ejpam-3426	188	15	1149	1149	NUM
ejpam-3426	188	16	-	-	SYM
ejpam-3426	188	17	1175	1175	NUM
ejpam-3426	188	18	1157	1157	NUM
ejpam-3426	188	19	2.2	2.2	NUM
ejpam-3426	188	20	.	.	PUNCT
ejpam-3426	189	1	estimation	estimation	NOUN
ejpam-3426	189	2	of	of	ADP
ejpam-3426	189	3	the	the	DET
ejpam-3426	189	4	shear	shear	NOUN
ejpam-3426	189	5	stresses	stress	NOUN
ejpam-3426	189	6	in	in	ADP
ejpam-3426	189	7	order	order	NOUN
ejpam-3426	189	8	to	to	PART
ejpam-3426	189	9	determine	determine	VERB
ejpam-3426	189	10	the	the	DET
ejpam-3426	189	11	shear	shear	NOUN
ejpam-3426	189	12	stresses	stress	NOUN
ejpam-3426	189	13	τω(r	τω(r	PROPN
ejpam-3426	189	14	,	,	PUNCT
ejpam-3426	189	15	t	t	PROPN
ejpam-3426	189	16	)	)	PUNCT
ejpam-3426	189	17	and	and	CCONJ
ejpam-3426	189	18	τv(r	τv(r	NUM
ejpam-3426	189	19	,	,	PUNCT
ejpam-3426	189	20	t	t	PROPN
ejpam-3426	189	21	)	)	PUNCT
ejpam-3426	189	22	,	,	PUNCT
ejpam-3426	189	23	with	with	ADP
ejpam-3426	189	24	the	the	DET
ejpam-3426	189	25	initial	initial	ADJ
ejpam-3426	189	26	conditions	condition	NOUN
ejpam-3426	189	27	,	,	PUNCT
ejpam-3426	189	28	taking	take	VERB
ejpam-3426	189	29	eqs	eqs	PROPN
ejpam-3426	189	30	.	.	PUNCT
ejpam-3426	190	1	(	(	PUNCT
ejpam-3426	190	2	5	5	NUM
ejpam-3426	190	3	)	)	PUNCT
ejpam-3426	190	4	and	and	CCONJ
ejpam-3426	190	5	(	(	PUNCT
ejpam-3426	190	6	6	6	NUM
ejpam-3426	190	7	)	)	PUNCT
ejpam-3426	190	8	and	and	CCONJ
ejpam-3426	190	9	applying	apply	VERB
ejpam-3426	190	10	the	the	DET
ejpam-3426	190	11	laplace	laplace	NOUN
ejpam-3426	190	12	transformation	transformation	NOUN
ejpam-3426	190	13	,	,	PUNCT
ejpam-3426	190	14	we	we	PRON
ejpam-3426	190	15	get	get	VERB
ejpam-3426	190	16	τω(r	τω(r	PUNCT
ejpam-3426	190	17	,	,	PUNCT
ejpam-3426	190	18	q	q	X
ejpam-3426	190	19	)	)	PUNCT
ejpam-3426	191	1	=	=	SYM
ejpam-3426	191	2	(	(	PUNCT
ejpam-3426	191	3	µ+	µ+	PROPN
ejpam-3426	191	4	α1	α1	PROPN
ejpam-3426	191	5	q	q	NOUN
ejpam-3426	191	6	)	)	PUNCT
ejpam-3426	191	7	(	(	PUNCT
ejpam-3426	191	8	∂	∂	NUM
ejpam-3426	192	1	∂r	∂r	NOUN
ejpam-3426	192	2	−	−	NUM
ejpam-3426	192	3	1	1	NUM
ejpam-3426	192	4	r	r	NOUN
ejpam-3426	192	5	)	)	PUNCT
ejpam-3426	192	6	ω(r	ω(r	NUM
ejpam-3426	192	7	,	,	PUNCT
ejpam-3426	192	8	q	q	NOUN
ejpam-3426	192	9	)	)	PUNCT
ejpam-3426	192	10	,	,	PUNCT
ejpam-3426	192	11	(	(	PUNCT
ejpam-3426	192	12	28	28	NUM
ejpam-3426	192	13	)	)	PUNCT
ejpam-3426	192	14	and	and	CCONJ
ejpam-3426	192	15	τv(r	τv(r	NUM
ejpam-3426	192	16	,	,	PUNCT
ejpam-3426	192	17	q	q	X
ejpam-3426	192	18	)	)	PUNCT
ejpam-3426	192	19	=	=	SYM
ejpam-3426	192	20	(	(	PUNCT
ejpam-3426	192	21	µ+	µ+	PROPN
ejpam-3426	192	22	α1	α1	PROPN
ejpam-3426	192	23	q	q	NOUN
ejpam-3426	192	24	)	)	PUNCT
ejpam-3426	192	25	∂v(r	∂v(r	PROPN
ejpam-3426	192	26	,	,	PUNCT
ejpam-3426	192	27	q	q	NOUN
ejpam-3426	192	28	)	)	PUNCT
ejpam-3426	193	1	∂r	∂r	INTJ
ejpam-3426	193	2	.	.	PUNCT
ejpam-3426	194	1	(	(	PUNCT
ejpam-3426	194	2	29	29	NUM
ejpam-3426	194	3	)	)	PUNCT
ejpam-3426	194	4	now	now	ADV
ejpam-3426	194	5	taking	take	VERB
ejpam-3426	194	6	eqs	eqs	PROPN
ejpam-3426	194	7	.	.	PUNCT
ejpam-3426	195	1	(	(	PUNCT
ejpam-3426	195	2	20	20	NUM
ejpam-3426	195	3	)	)	PUNCT
ejpam-3426	195	4	and	and	CCONJ
ejpam-3426	195	5	(	(	PUNCT
ejpam-3426	195	6	21	21	NUM
ejpam-3426	195	7	)	)	PUNCT
ejpam-3426	195	8	,	,	PUNCT
ejpam-3426	195	9	after	after	ADP
ejpam-3426	195	10	modifying	modify	VERB
ejpam-3426	195	11	the	the	DET
ejpam-3426	195	12	outcomes	outcome	NOUN
ejpam-3426	195	13	in	in	ADP
ejpam-3426	195	14	more	more	ADV
ejpam-3426	195	15	appropriate	appropriate	ADJ
ejpam-3426	195	16	interchangeable	interchangeable	ADJ
ejpam-3426	195	17	pattern	pattern	NOUN
ejpam-3426	195	18	for	for	ADP
ejpam-3426	195	19	satisfying	satisfy	VERB
ejpam-3426	195	20	the	the	DET
ejpam-3426	195	21	initial	initial	ADJ
ejpam-3426	195	22	and	and	CCONJ
ejpam-3426	195	23	boundary	boundary	ADJ
ejpam-3426	195	24	conditions	condition	NOUN
ejpam-3426	195	25	and	and	CCONJ
ejpam-3426	195	26	applying	apply	VERB
ejpam-3426	195	27	the	the	DET
ejpam-3426	195	28	inverse	inverse	NOUN
ejpam-3426	195	29	hankel	hankel	NOUN
ejpam-3426	195	30	transform	transform	NOUN
ejpam-3426	195	31	,	,	PUNCT
ejpam-3426	195	32	then	then	ADV
ejpam-3426	195	33	we	we	PRON
ejpam-3426	195	34	get	get	VERB
ejpam-3426	195	35	the	the	DET
ejpam-3426	195	36	results	result	NOUN
ejpam-3426	195	37	of	of	ADP
ejpam-3426	195	38	(	(	PUNCT
ejpam-3426	195	39	∂	∂	NUM
ejpam-3426	196	1	∂r	∂r	NOUN
ejpam-3426	196	2	−	−	NUM
ejpam-3426	196	3	1	1	NUM
ejpam-3426	196	4	r	r	NOUN
ejpam-3426	196	5	)	)	PUNCT
ejpam-3426	196	6	ω(r	ω(r	NUM
ejpam-3426	196	7	,	,	PUNCT
ejpam-3426	196	8	q	q	X
ejpam-3426	196	9	)	)	PUNCT
ejpam-3426	196	10	=	=	SYM
ejpam-3426	196	11	f1	f1	PROPN
ejpam-3426	196	12	ρ	ρ	PROPN
ejpam-3426	196	13	(	(	PUNCT
ejpam-3426	196	14	r1	r1	PROPN
ejpam-3426	196	15	r	r	NOUN
ejpam-3426	196	16	)	)	PUNCT
ejpam-3426	196	17	2	2	NUM
ejpam-3426	196	18	p	p	NOUN
ejpam-3426	196	19	!	!	PUNCT
ejpam-3426	197	1	qp+1(ϑ+	qp+1(ϑ+	VERB
ejpam-3426	197	2	αq	αq	ADP
ejpam-3426	197	3	)	)	PUNCT
ejpam-3426	197	4	+	+	CCONJ
ejpam-3426	197	5	f1π	f1π	PROPN
ejpam-3426	197	6	ρ	ρ	NUM
ejpam-3426	197	7	×	×	NOUN
ejpam-3426	197	8	∞∑	∞∑	PROPN
ejpam-3426	197	9	m=1	m=1	PROPN
ejpam-3426	197	10	j2	j2	PROPN
ejpam-3426	197	11	1	1	NUM
ejpam-3426	197	12	(	(	PUNCT
ejpam-3426	197	13	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	197	14	)	)	PUNCT
ejpam-3426	197	15	rm[j2	rm[j2	PROPN
ejpam-3426	197	16	2	2	NUM
ejpam-3426	197	17	(	(	PUNCT
ejpam-3426	197	18	r1rm)−	r1rm)−	NOUN
ejpam-3426	197	19	j2	j2	NOUN
ejpam-3426	197	20	1	1	NUM
ejpam-3426	197	21	(	(	PUNCT
ejpam-3426	197	22	r2rm	r2rm	NOUN
ejpam-3426	197	23	)	)	PUNCT
ejpam-3426	197	24	]	]	PUNCT
ejpam-3426	197	25	1	1	NUM
ejpam-3426	197	26	ϑ+	ϑ+	X
ejpam-3426	197	27	αq	αq	ADP
ejpam-3426	197	28	p	p	NOUN
ejpam-3426	197	29	!	!	PUNCT
ejpam-3426	198	1	qp	qp	INTJ
ejpam-3426	198	2	{	{	PUNCT
ejpam-3426	198	3	1	1	NUM
ejpam-3426	199	1	+	+	CCONJ
ejpam-3426	200	1	[	[	X
ejpam-3426	200	2	m	m	X
ejpam-3426	200	3	+	+	NOUN
ejpam-3426	200	4	φ(ϑ+	φ(ϑ+	NOUN
ejpam-3426	200	5	αq)]q−1	αq)]q−1	VERB
ejpam-3426	201	1	[	[	X
ejpam-3426	201	2	1	1	NUM
ejpam-3426	201	3	+	+	NUM
ejpam-3426	201	4	α(φ	α(φ	PROPN
ejpam-3426	201	5	+	+	NUM
ejpam-3426	201	6	r2	r2	PROPN
ejpam-3426	201	7	m)]q	m)]q	NOUN
ejpam-3426	201	8	+	+	CCONJ
ejpam-3426	202	1	[	[	X
ejpam-3426	202	2	m	m	X
ejpam-3426	202	3	+	+	ADJ
ejpam-3426	202	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	202	5	+	+	CCONJ
ejpam-3426	202	6	r2	r2	PROPN
ejpam-3426	202	7	m	m	PROPN
ejpam-3426	202	8	)	)	PUNCT
ejpam-3426	202	9	]	]	PUNCT
ejpam-3426	202	10	}	}	PUNCT
ejpam-3426	202	11	−	−	NOUN
ejpam-3426	202	12	f2r2π	f2r2π	NUM
ejpam-3426	202	13	2	2	NUM
ejpam-3426	202	14	2	2	NUM
ejpam-3426	202	15	×	×	NOUN
ejpam-3426	202	16	∞∑	∞∑	PROPN
ejpam-3426	202	17	m=1	m=1	PROPN
ejpam-3426	202	18	r3	r3	PROPN
ejpam-3426	202	19	mj	mj	NOUN
ejpam-3426	202	20	2	2	NUM
ejpam-3426	202	21	1	1	NUM
ejpam-3426	202	22	(	(	PUNCT
ejpam-3426	202	23	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	202	24	)	)	PUNCT
ejpam-3426	202	25	dω(r1	dω(r1	NOUN
ejpam-3426	202	26	,	,	PUNCT
ejpam-3426	202	27	r2	r2	PROPN
ejpam-3426	202	28	,	,	PUNCT
ejpam-3426	202	29	rm	rm	PROPN
ejpam-3426	202	30	)	)	PUNCT
ejpam-3426	202	31	j2	j2	PROPN
ejpam-3426	202	32	2	2	NUM
ejpam-3426	202	33	(	(	PUNCT
ejpam-3426	202	34	r1rm)−	r1rm)−	NOUN
ejpam-3426	202	35	j2	j2	NOUN
ejpam-3426	202	36	1	1	NUM
ejpam-3426	202	37	(	(	PUNCT
ejpam-3426	202	38	r2rm	r2rm	X
ejpam-3426	202	39	)	)	PUNCT
ejpam-3426	202	40	{	{	PUNCT
ejpam-3426	202	41	(	(	PUNCT
ejpam-3426	202	42	ϑ+	ϑ+	X
ejpam-3426	202	43	αq	αq	NUM
ejpam-3426	202	44	)	)	PUNCT
ejpam-3426	203	1	[	[	X
ejpam-3426	203	2	1	1	NUM
ejpam-3426	203	3	+	+	NUM
ejpam-3426	203	4	α(φ	α(φ	PROPN
ejpam-3426	203	5	+	+	NUM
ejpam-3426	203	6	r2	r2	PROPN
ejpam-3426	203	7	m)]q	m)]q	NOUN
ejpam-3426	203	8	+	+	CCONJ
ejpam-3426	204	1	[	[	X
ejpam-3426	204	2	m	m	X
ejpam-3426	204	3	+	+	ADJ
ejpam-3426	204	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	204	5	+	+	CCONJ
ejpam-3426	204	6	r2	r2	PROPN
ejpam-3426	204	7	m	m	PROPN
ejpam-3426	204	8	)	)	PUNCT
ejpam-3426	204	9	]	]	PUNCT
ejpam-3426	204	10	}	}	PUNCT
ejpam-3426	204	11	,	,	PUNCT
ejpam-3426	204	12	(	(	PUNCT
ejpam-3426	204	13	30	30	X
ejpam-3426	204	14	)	)	PUNCT
ejpam-3426	204	15	∂v(r	∂v(r	PROPN
ejpam-3426	204	16	,	,	PUNCT
ejpam-3426	204	17	q	q	NOUN
ejpam-3426	204	18	)	)	PUNCT
ejpam-3426	204	19	∂r	∂r	PROPN
ejpam-3426	204	20	=	=	PUNCT
ejpam-3426	204	21	g1	g1	PROPN
ejpam-3426	204	22	ρ	ρ	PROPN
ejpam-3426	204	23	r1	r1	PROPN
ejpam-3426	204	24	ln	ln	NOUN
ejpam-3426	204	25	(	(	PUNCT
ejpam-3426	204	26	r	r	NOUN
ejpam-3426	204	27	r2	r2	PROPN
ejpam-3426	204	28	)	)	PUNCT
ejpam-3426	205	1	p	p	X
ejpam-3426	205	2	!	!	PUNCT
ejpam-3426	206	1	qp+1(ϑ+	qp+1(ϑ+	VERB
ejpam-3426	206	2	αq	αq	ADP
ejpam-3426	206	3	)	)	PUNCT
ejpam-3426	206	4	+	+	CCONJ
ejpam-3426	206	5	g1π	g1π	PROPN
ejpam-3426	206	6	ρ	ρ	NUM
ejpam-3426	206	7	×	×	NOUN
ejpam-3426	206	8	∞∑	∞∑	PROPN
ejpam-3426	206	9	n=1	n=1	PROPN
ejpam-3426	206	10	j2	j2	PROPN
ejpam-3426	206	11	0	0	NUM
ejpam-3426	206	12	(	(	PUNCT
ejpam-3426	206	13	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	206	14	)	)	PUNCT
ejpam-3426	206	15	rn[j2	rn[j2	PROPN
ejpam-3426	206	16	1	1	NUM
ejpam-3426	206	17	(	(	PUNCT
ejpam-3426	206	18	r1rn)−	r1rn)−	NOUN
ejpam-3426	206	19	j2	j2	PROPN
ejpam-3426	206	20	0	0	NUM
ejpam-3426	206	21	(	(	PUNCT
ejpam-3426	206	22	r2rn	r2rn	NOUN
ejpam-3426	206	23	)	)	PUNCT
ejpam-3426	206	24	]	]	PUNCT
ejpam-3426	206	25	1	1	NUM
ejpam-3426	206	26	ϑ+	ϑ+	X
ejpam-3426	206	27	αq	αq	ADP
ejpam-3426	206	28	p	p	NOUN
ejpam-3426	206	29	!	!	PUNCT
ejpam-3426	207	1	qp	qp	INTJ
ejpam-3426	207	2	{	{	PUNCT
ejpam-3426	207	3	1	1	NUM
ejpam-3426	208	1	+	+	CCONJ
ejpam-3426	209	1	[	[	X
ejpam-3426	209	2	m	m	X
ejpam-3426	209	3	+	+	NOUN
ejpam-3426	209	4	φ(ϑ+	φ(ϑ+	NOUN
ejpam-3426	209	5	αq)]q−1	αq)]q−1	VERB
ejpam-3426	210	1	[	[	X
ejpam-3426	210	2	1	1	NUM
ejpam-3426	210	3	+	+	NUM
ejpam-3426	210	4	α(φ	α(φ	PROPN
ejpam-3426	210	5	+	+	NUM
ejpam-3426	210	6	r2	r2	NOUN
ejpam-3426	210	7	n)]q	n)]q	ADV
ejpam-3426	211	1	+	+	CCONJ
ejpam-3426	212	1	[	[	X
ejpam-3426	212	2	m	m	X
ejpam-3426	212	3	+	+	ADJ
ejpam-3426	212	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	212	5	+	+	CCONJ
ejpam-3426	212	6	r2	r2	PROPN
ejpam-3426	212	7	n	n	CCONJ
ejpam-3426	212	8	)	)	PUNCT
ejpam-3426	212	9	]	]	PUNCT
ejpam-3426	212	10	}	}	PUNCT
ejpam-3426	212	11	−	−	NUM
ejpam-3426	212	12	g2r2π	g2r2π	NUM
ejpam-3426	212	13	2	2	NUM
ejpam-3426	212	14	2	2	NUM
ejpam-3426	212	15	×	×	NOUN
ejpam-3426	212	16	∞∑	∞∑	NUM
ejpam-3426	212	17	n=1	n=1	PROPN
ejpam-3426	212	18	r3	r3	PROPN
ejpam-3426	212	19	nj	nj	PROPN
ejpam-3426	212	20	2	2	NUM
ejpam-3426	212	21	0	0	NUM
ejpam-3426	212	22	(	(	PUNCT
ejpam-3426	212	23	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	212	24	)	)	PUNCT
ejpam-3426	212	25	dv(r1	dv(r1	NOUN
ejpam-3426	212	26	,	,	PUNCT
ejpam-3426	212	27	r2	r2	PROPN
ejpam-3426	212	28	,	,	PUNCT
ejpam-3426	212	29	rn	rn	PROPN
ejpam-3426	212	30	)	)	PUNCT
ejpam-3426	212	31	j2	j2	NOUN
ejpam-3426	212	32	1	1	NUM
ejpam-3426	212	33	(	(	PUNCT
ejpam-3426	212	34	r1rn)−	r1rn)−	NOUN
ejpam-3426	212	35	j2	j2	PROPN
ejpam-3426	212	36	0	0	NUM
ejpam-3426	212	37	(	(	PUNCT
ejpam-3426	212	38	r2rn	r2rn	NOUN
ejpam-3426	212	39	)	)	PUNCT
ejpam-3426	212	40	{	{	PUNCT
ejpam-3426	212	41	(	(	PUNCT
ejpam-3426	212	42	ϑ+	ϑ+	X
ejpam-3426	212	43	αq	αq	NUM
ejpam-3426	212	44	)	)	PUNCT
ejpam-3426	213	1	[	[	X
ejpam-3426	213	2	1	1	NUM
ejpam-3426	213	3	+	+	NUM
ejpam-3426	213	4	α(φ	α(φ	PROPN
ejpam-3426	213	5	+	+	NUM
ejpam-3426	213	6	r2	r2	NOUN
ejpam-3426	213	7	n)]q	n)]q	ADV
ejpam-3426	214	1	+	+	CCONJ
ejpam-3426	215	1	[	[	X
ejpam-3426	215	2	m	m	X
ejpam-3426	215	3	+	+	ADJ
ejpam-3426	215	4	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	215	5	+	+	CCONJ
ejpam-3426	215	6	r2	r2	PROPN
ejpam-3426	215	7	n	n	CCONJ
ejpam-3426	215	8	)	)	PUNCT
ejpam-3426	215	9	]	]	PUNCT
ejpam-3426	215	10	}	}	PUNCT
ejpam-3426	215	11	.	.	PUNCT
ejpam-3426	216	1	(	(	PUNCT
ejpam-3426	216	2	31	31	NUM
ejpam-3426	216	3	)	)	PUNCT
ejpam-3426	216	4	put	put	NOUN
ejpam-3426	216	5	(	(	PUNCT
ejpam-3426	216	6	30	30	NUM
ejpam-3426	216	7	)	)	PUNCT
ejpam-3426	216	8	and	and	CCONJ
ejpam-3426	216	9	(	(	PUNCT
ejpam-3426	216	10	31	31	NUM
ejpam-3426	216	11	)	)	PUNCT
ejpam-3426	216	12	in	in	ADP
ejpam-3426	216	13	the	the	DET
ejpam-3426	216	14	eqs	eqs	PROPN
ejpam-3426	216	15	.	.	PUNCT
ejpam-3426	217	1	(	(	PUNCT
ejpam-3426	217	2	28	28	NUM
ejpam-3426	217	3	)	)	PUNCT
ejpam-3426	217	4	and	and	CCONJ
ejpam-3426	217	5	(	(	PUNCT
ejpam-3426	217	6	29	29	NUM
ejpam-3426	217	7	)	)	PUNCT
ejpam-3426	217	8	respectively	respectively	ADV
ejpam-3426	217	9	,	,	PUNCT
ejpam-3426	217	10	then	then	ADV
ejpam-3426	217	11	the	the	DET
ejpam-3426	217	12	sample	sample	NOUN
ejpam-3426	217	13	equivalent	equivalent	ADJ
ejpam-3426	217	14	form	form	NOUN
ejpam-3426	217	15	,	,	PUNCT
ejpam-3426	217	16	which	which	PRON
ejpam-3426	217	17	are	be	AUX
ejpam-3426	217	18	m.	m.	PROPN
ejpam-3426	217	19	jamil	jamil	PROPN
ejpam-3426	217	20	,	,	PUNCT
ejpam-3426	217	21	m.	m.	NOUN
ejpam-3426	217	22	zafarullah	zafarullah	PROPN
ejpam-3426	217	23	/	/	SYM
ejpam-3426	217	24	eur	eur	PROPN
ejpam-3426	217	25	.	.	PUNCT
ejpam-3426	218	1	j.	j.	PROPN
ejpam-3426	218	2	pure	pure	PROPN
ejpam-3426	218	3	appl	appl	PROPN
ejpam-3426	218	4	.	.	PROPN
ejpam-3426	218	5	math	math	PROPN
ejpam-3426	218	6	,	,	PUNCT
ejpam-3426	218	7	12	12	NUM
ejpam-3426	218	8	(	(	PUNCT
ejpam-3426	218	9	3	3	NUM
ejpam-3426	218	10	)	)	PUNCT
ejpam-3426	218	11	(	(	PUNCT
ejpam-3426	218	12	2019	2019	NUM
ejpam-3426	218	13	)	)	PUNCT
ejpam-3426	218	14	,	,	PUNCT
ejpam-3426	218	15	1149	1149	NUM
ejpam-3426	218	16	-	-	SYM
ejpam-3426	218	17	1175	1175	NUM
ejpam-3426	218	18	1158	1158	NUM
ejpam-3426	218	19	τω(r	τω(r	PUNCT
ejpam-3426	218	20	,	,	PUNCT
ejpam-3426	218	21	q	q	X
ejpam-3426	218	22	)	)	PUNCT
ejpam-3426	218	23	=	=	SYM
ejpam-3426	218	24	f1	f1	NOUN
ejpam-3426	218	25	(	(	PUNCT
ejpam-3426	218	26	r1	r1	PROPN
ejpam-3426	218	27	r	r	NOUN
ejpam-3426	218	28	)	)	PUNCT
ejpam-3426	218	29	2	2	NUM
ejpam-3426	218	30	p	p	NOUN
ejpam-3426	218	31	!	!	PUNCT
ejpam-3426	218	32	qp+1	qp+1	PROPN
ejpam-3426	219	1	+	+	CCONJ
ejpam-3426	219	2	f1π	f1π	PROPN
ejpam-3426	219	3	∞∑	∞∑	PROPN
ejpam-3426	219	4	m=1	m=1	PROPN
ejpam-3426	219	5	j2	j2	PROPN
ejpam-3426	219	6	1	1	NUM
ejpam-3426	219	7	(	(	PUNCT
ejpam-3426	219	8	r2rm)bw(rrm	r2rm)bw(rrm	PROPN
ejpam-3426	219	9	)	)	PUNCT
ejpam-3426	219	10	j2	j2	NOUN
ejpam-3426	219	11	2	2	NUM
ejpam-3426	219	12	(	(	PUNCT
ejpam-3426	219	13	r1rm)−	r1rm)−	NOUN
ejpam-3426	219	14	j2	j2	NOUN
ejpam-3426	219	15	1	1	NUM
ejpam-3426	219	16	(	(	PUNCT
ejpam-3426	219	17	r2rm	r2rm	X
ejpam-3426	219	18	)	)	PUNCT
ejpam-3426	219	19	1	1	NUM
ejpam-3426	219	20	1	1	NUM
ejpam-3426	219	21	+	+	CCONJ
ejpam-3426	219	22	α(φ	α(φ	PROPN
ejpam-3426	219	23	+	+	NUM
ejpam-3426	219	24	r2	r2	PROPN
ejpam-3426	219	25	m	m	PROPN
ejpam-3426	219	26	)	)	PUNCT
ejpam-3426	219	27	×	×	NOUN
ejpam-3426	219	28	{	{	PUNCT
ejpam-3426	219	29	(	(	PUNCT
ejpam-3426	219	30	p−	p−	NOUN
ejpam-3426	219	31	1	1	NUM
ejpam-3426	219	32	)	)	PUNCT
ejpam-3426	219	33	!	!	PUNCT
ejpam-3426	220	1	qp	qp	VERB
ejpam-3426	221	1	p	p	X
ejpam-3426	221	2	q	q	PROPN
ejpam-3426	221	3	+	+	NUM
ejpam-3426	221	4	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	221	5	m	m	NOUN
ejpam-3426	221	6	)	)	PUNCT
ejpam-3426	221	7	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	221	8	m	m	NOUN
ejpam-3426	221	9	)	)	PUNCT
ejpam-3426	222	1	+	+	X
ejpam-3426	222	2	p	p	X
ejpam-3426	222	3	!	!	PUNCT
ejpam-3426	222	4	qp+1	qp+1	INTJ
ejpam-3426	223	1	m	m	VERB
ejpam-3426	224	1	+	+	NOUN
ejpam-3426	224	2	φ	φ	X
ejpam-3426	224	3	ϑ	ϑ	X
ejpam-3426	224	4	q	q	X
ejpam-3426	224	5	+	+	NUM
ejpam-3426	224	6	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	224	7	m	m	NOUN
ejpam-3426	224	8	)	)	PUNCT
ejpam-3426	224	9	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	224	10	m	m	NOUN
ejpam-3426	224	11	)	)	PUNCT
ejpam-3426	225	1	+	+	CCONJ
ejpam-3426	225	2	(	(	PUNCT
ejpam-3426	225	3	p−	p−	NOUN
ejpam-3426	225	4	1	1	NUM
ejpam-3426	225	5	)	)	PUNCT
ejpam-3426	225	6	!	!	PUNCT
ejpam-3426	226	1	qp	qp	PROPN
ejpam-3426	226	2	φαp	φαp	INTJ
ejpam-3426	226	3	q	q	PROPN
ejpam-3426	226	4	+	+	NUM
ejpam-3426	226	5	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	226	6	m	m	NOUN
ejpam-3426	226	7	)	)	PUNCT
ejpam-3426	226	8	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	226	9	m	m	NOUN
ejpam-3426	226	10	)	)	PUNCT
ejpam-3426	226	11	}	}	PUNCT
ejpam-3426	227	1	+	+	CCONJ
ejpam-3426	227	2	f2r2π	f2r2π	NUM
ejpam-3426	227	3	2	2	NUM
ejpam-3426	227	4	2	2	NUM
ejpam-3426	227	5	∞∑	∞∑	PROPN
ejpam-3426	227	6	m=1	m=1	PROPN
ejpam-3426	227	7	r4	r4	PROPN
ejpam-3426	227	8	mj	mj	PROPN
ejpam-3426	227	9	2	2	NUM
ejpam-3426	227	10	1	1	NUM
ejpam-3426	227	11	(	(	PUNCT
ejpam-3426	227	12	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	227	13	)	)	PUNCT
ejpam-3426	227	14	dω(r1	dω(r1	NOUN
ejpam-3426	227	15	,	,	PUNCT
ejpam-3426	227	16	r2	r2	PROPN
ejpam-3426	227	17	,	,	PUNCT
ejpam-3426	227	18	rm	rm	PROPN
ejpam-3426	227	19	)	)	PUNCT
ejpam-3426	227	20	j2	j2	PROPN
ejpam-3426	227	21	2	2	NUM
ejpam-3426	227	22	(	(	PUNCT
ejpam-3426	227	23	r1rm)−	r1rm)−	NOUN
ejpam-3426	227	24	j2	j2	NOUN
ejpam-3426	227	25	1	1	NUM
ejpam-3426	227	26	(	(	PUNCT
ejpam-3426	227	27	r2rm	r2rm	X
ejpam-3426	227	28	)	)	PUNCT
ejpam-3426	227	29	{	{	PUNCT
ejpam-3426	227	30	p	p	X
ejpam-3426	227	31	!	!	PUNCT
ejpam-3426	227	32	qp+1	qp+1	PUNCT
ejpam-3426	228	1	ϑ2	ϑ2	NOUN
ejpam-3426	228	2	q	q	NOUN
ejpam-3426	229	1	+	+	NUM
ejpam-3426	229	2	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	229	3	m	m	NOUN
ejpam-3426	229	4	)	)	PUNCT
ejpam-3426	229	5	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	229	6	m	m	NOUN
ejpam-3426	229	7	)	)	PUNCT
ejpam-3426	230	1	+	+	CCONJ
ejpam-3426	230	2	(	(	PUNCT
ejpam-3426	230	3	p−	p−	NOUN
ejpam-3426	230	4	1	1	NUM
ejpam-3426	230	5	)	)	PUNCT
ejpam-3426	230	6	!	!	PUNCT
ejpam-3426	231	1	qp	qp	AUX
ejpam-3426	231	2	2α	2α	NUM
ejpam-3426	231	3	ϑp	ϑp	PROPN
ejpam-3426	231	4	q	q	NOUN
ejpam-3426	231	5	+	+	NUM
ejpam-3426	231	6	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	231	7	m	m	NOUN
ejpam-3426	231	8	)	)	PUNCT
ejpam-3426	231	9	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	231	10	m	m	NOUN
ejpam-3426	231	11	)	)	PUNCT
ejpam-3426	232	1	+	+	CCONJ
ejpam-3426	232	2	(	(	PUNCT
ejpam-3426	232	3	p−	p−	NOUN
ejpam-3426	232	4	2	2	NUM
ejpam-3426	232	5	)	)	PUNCT
ejpam-3426	232	6	!	!	PUNCT
ejpam-3426	233	1	qp−1	qp−1	NOUN
ejpam-3426	233	2	α2p	α2p	PROPN
ejpam-3426	233	3	(	(	PUNCT
ejpam-3426	233	4	p−	p−	NOUN
ejpam-3426	233	5	1	1	NUM
ejpam-3426	233	6	)	)	PUNCT
ejpam-3426	233	7	q	q	NOUN
ejpam-3426	234	1	+	+	NUM
ejpam-3426	234	2	m+ϑ(φ+r2	m+ϑ(φ+r2	X
ejpam-3426	234	3	m	m	NOUN
ejpam-3426	234	4	)	)	PUNCT
ejpam-3426	234	5	1+α(φ+r2	1+α(φ+r2	NUM
ejpam-3426	234	6	m	m	NOUN
ejpam-3426	234	7	)	)	PUNCT
ejpam-3426	234	8	}	}	PUNCT
ejpam-3426	234	9	,	,	PUNCT
ejpam-3426	234	10	(	(	PUNCT
ejpam-3426	234	11	32	32	NUM
ejpam-3426	234	12	)	)	PUNCT
ejpam-3426	234	13	τv(r	τv(r	PUNCT
ejpam-3426	234	14	,	,	PUNCT
ejpam-3426	234	15	q	q	X
ejpam-3426	234	16	)	)	PUNCT
ejpam-3426	234	17	=	=	SYM
ejpam-3426	234	18	g1	g1	PROPN
ejpam-3426	234	19	(	(	PUNCT
ejpam-3426	234	20	r1	r1	PROPN
ejpam-3426	234	21	r	r	NOUN
ejpam-3426	234	22	)	)	PUNCT
ejpam-3426	234	23	p	p	NOUN
ejpam-3426	234	24	!	!	PUNCT
ejpam-3426	234	25	qp+1	qp+1	PROPN
ejpam-3426	235	1	+	+	CCONJ
ejpam-3426	235	2	g1π	g1π	PROPN
ejpam-3426	235	3	∞∑	∞∑	NUM
ejpam-3426	235	4	n=1	n=1	PROPN
ejpam-3426	235	5	j2	j2	PROPN
ejpam-3426	235	6	0	0	NUM
ejpam-3426	235	7	(	(	PUNCT
ejpam-3426	235	8	r2rn)bv(rrn	r2rn)bv(rrn	PROPN
ejpam-3426	235	9	)	)	PUNCT
ejpam-3426	235	10	j2	j2	PROPN
ejpam-3426	235	11	1	1	NUM
ejpam-3426	235	12	(	(	PUNCT
ejpam-3426	235	13	r1rn)−	r1rn)−	NOUN
ejpam-3426	235	14	j2	j2	PROPN
ejpam-3426	235	15	0	0	NUM
ejpam-3426	235	16	(	(	PUNCT
ejpam-3426	235	17	r2rn	r2rn	NOUN
ejpam-3426	235	18	)	)	PUNCT
ejpam-3426	235	19	1	1	NUM
ejpam-3426	235	20	1	1	NUM
ejpam-3426	235	21	+	+	CCONJ
ejpam-3426	235	22	α(φ	α(φ	PROPN
ejpam-3426	235	23	+	+	NUM
ejpam-3426	235	24	r2	r2	PROPN
ejpam-3426	235	25	n	n	CCONJ
ejpam-3426	235	26	)	)	PUNCT
ejpam-3426	235	27	×	×	NOUN
ejpam-3426	235	28	{	{	PUNCT
ejpam-3426	235	29	(	(	PUNCT
ejpam-3426	235	30	p−	p−	NOUN
ejpam-3426	235	31	1	1	NUM
ejpam-3426	235	32	)	)	PUNCT
ejpam-3426	235	33	!	!	PUNCT
ejpam-3426	236	1	qp	qp	VERB
ejpam-3426	237	1	p	p	X
ejpam-3426	237	2	q	q	PROPN
ejpam-3426	237	3	+	+	NUM
ejpam-3426	237	4	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	237	5	)	)	PUNCT
ejpam-3426	237	6	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	237	7	)	)	PUNCT
ejpam-3426	238	1	+	+	X
ejpam-3426	238	2	p	p	X
ejpam-3426	238	3	!	!	PUNCT
ejpam-3426	238	4	qp+1	qp+1	INTJ
ejpam-3426	239	1	m	m	VERB
ejpam-3426	240	1	+	+	NOUN
ejpam-3426	240	2	φ	φ	X
ejpam-3426	240	3	ϑ	ϑ	X
ejpam-3426	240	4	q	q	X
ejpam-3426	240	5	+	+	NUM
ejpam-3426	240	6	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	240	7	)	)	PUNCT
ejpam-3426	240	8	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	240	9	)	)	PUNCT
ejpam-3426	241	1	+	+	CCONJ
ejpam-3426	241	2	(	(	PUNCT
ejpam-3426	241	3	p−	p−	NOUN
ejpam-3426	241	4	1	1	NUM
ejpam-3426	241	5	)	)	PUNCT
ejpam-3426	241	6	!	!	PUNCT
ejpam-3426	242	1	qp	qp	PROPN
ejpam-3426	242	2	φαp	φαp	INTJ
ejpam-3426	242	3	q	q	PROPN
ejpam-3426	243	1	+	+	NUM
ejpam-3426	243	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	243	3	)	)	PUNCT
ejpam-3426	243	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	243	5	)	)	PUNCT
ejpam-3426	243	6	}	}	PUNCT
ejpam-3426	244	1	+	+	CCONJ
ejpam-3426	244	2	g2r2π	g2r2π	NUM
ejpam-3426	244	3	2	2	NUM
ejpam-3426	244	4	2	2	NUM
ejpam-3426	244	5	∞∑	∞∑	NUM
ejpam-3426	244	6	n=1	n=1	PROPN
ejpam-3426	244	7	r4	r4	VERB
ejpam-3426	244	8	nj	nj	PROPN
ejpam-3426	244	9	2	2	NUM
ejpam-3426	244	10	0	0	NUM
ejpam-3426	244	11	(	(	PUNCT
ejpam-3426	244	12	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	244	13	)	)	PUNCT
ejpam-3426	244	14	dv(r1	dv(r1	NOUN
ejpam-3426	244	15	,	,	PUNCT
ejpam-3426	244	16	r2	r2	PROPN
ejpam-3426	244	17	,	,	PUNCT
ejpam-3426	244	18	rn	rn	PROPN
ejpam-3426	244	19	)	)	PUNCT
ejpam-3426	244	20	j2	j2	NOUN
ejpam-3426	244	21	1	1	NUM
ejpam-3426	244	22	(	(	PUNCT
ejpam-3426	244	23	r1rn)−	r1rn)−	NOUN
ejpam-3426	244	24	j2	j2	PROPN
ejpam-3426	244	25	0	0	NUM
ejpam-3426	244	26	(	(	PUNCT
ejpam-3426	244	27	r2rn	r2rn	NOUN
ejpam-3426	244	28	)	)	PUNCT
ejpam-3426	244	29	{	{	PUNCT
ejpam-3426	244	30	p	p	X
ejpam-3426	244	31	!	!	PUNCT
ejpam-3426	244	32	qp+1	qp+1	PUNCT
ejpam-3426	245	1	ϑ2	ϑ2	NOUN
ejpam-3426	245	2	q	q	PROPN
ejpam-3426	246	1	+	+	CCONJ
ejpam-3426	246	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	246	3	)	)	PUNCT
ejpam-3426	246	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	246	5	)	)	PUNCT
ejpam-3426	246	6	+	+	CCONJ
ejpam-3426	246	7	(	(	PUNCT
ejpam-3426	246	8	p−	p−	NOUN
ejpam-3426	246	9	1	1	NUM
ejpam-3426	246	10	)	)	PUNCT
ejpam-3426	246	11	!	!	PUNCT
ejpam-3426	247	1	qp	qp	VERB
ejpam-3426	247	2	2α	2α	NUM
ejpam-3426	248	1	ϑp	ϑp	PROPN
ejpam-3426	248	2	q	q	NOUN
ejpam-3426	248	3	+	+	NUM
ejpam-3426	248	4	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	248	5	)	)	PUNCT
ejpam-3426	248	6	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	248	7	)	)	PUNCT
ejpam-3426	248	8	+	+	CCONJ
ejpam-3426	248	9	(	(	PUNCT
ejpam-3426	248	10	p−	p−	NOUN
ejpam-3426	248	11	2	2	NUM
ejpam-3426	248	12	)	)	PUNCT
ejpam-3426	248	13	!	!	PUNCT
ejpam-3426	249	1	qp−1	qp−1	NOUN
ejpam-3426	249	2	α2p	α2p	PROPN
ejpam-3426	249	3	(	(	PUNCT
ejpam-3426	249	4	p−	p−	NOUN
ejpam-3426	249	5	1	1	NUM
ejpam-3426	249	6	)	)	PUNCT
ejpam-3426	249	7	q	q	NOUN
ejpam-3426	250	1	+	+	CCONJ
ejpam-3426	250	2	m+ϑ(φ+r2n	m+ϑ(φ+r2n	NOUN
ejpam-3426	250	3	)	)	PUNCT
ejpam-3426	250	4	1+α(φ+r2n	1+α(φ+r2n	NUM
ejpam-3426	250	5	)	)	PUNCT
ejpam-3426	250	6	}	}	PUNCT
ejpam-3426	250	7	.	.	PUNCT
ejpam-3426	251	1	(	(	PUNCT
ejpam-3426	251	2	33	33	NUM
ejpam-3426	251	3	)	)	PUNCT
ejpam-3426	251	4	after	after	ADP
ejpam-3426	251	5	applying	apply	VERB
ejpam-3426	251	6	the	the	DET
ejpam-3426	251	7	convolution	convolution	NOUN
ejpam-3426	251	8	theorem	theorem	NOUN
ejpam-3426	251	9	of	of	ADP
ejpam-3426	251	10	inverse	inverse	ADJ
ejpam-3426	251	11	laplace	laplace	NOUN
ejpam-3426	251	12	transformation	transformation	NOUN
ejpam-3426	251	13	on	on	ADP
ejpam-3426	251	14	eqs	eqs	PROPN
ejpam-3426	251	15	.	.	PUNCT
ejpam-3426	252	1	(	(	PUNCT
ejpam-3426	252	2	32	32	NUM
ejpam-3426	252	3	)	)	PUNCT
ejpam-3426	252	4	and	and	CCONJ
ejpam-3426	252	5	(	(	PUNCT
ejpam-3426	252	6	33	33	NUM
ejpam-3426	252	7	)	)	PUNCT
ejpam-3426	252	8	,	,	PUNCT
ejpam-3426	252	9	we	we	PRON
ejpam-3426	252	10	get	get	VERB
ejpam-3426	252	11	the	the	DET
ejpam-3426	252	12	shear	shear	NOUN
ejpam-3426	252	13	stress	stress	NOUN
ejpam-3426	252	14	for	for	ADP
ejpam-3426	252	15	rotational	rotational	ADJ
ejpam-3426	252	16	case	case	NOUN
ejpam-3426	252	17	τω(r	τω(r	PUNCT
ejpam-3426	252	18	,	,	PUNCT
ejpam-3426	252	19	t	t	PROPN
ejpam-3426	252	20	)	)	PUNCT
ejpam-3426	252	21	=	=	SYM
ejpam-3426	252	22	f1	f1	NOUN
ejpam-3426	252	23	(	(	PUNCT
ejpam-3426	252	24	r1	r1	PROPN
ejpam-3426	252	25	r	r	NOUN
ejpam-3426	252	26	)	)	PUNCT
ejpam-3426	252	27	tp	tp	ADP
ejpam-3426	252	28	+	+	CCONJ
ejpam-3426	252	29	f1π	f1π	PROPN
ejpam-3426	252	30	∞∑	∞∑	PROPN
ejpam-3426	252	31	m=1	m=1	PROPN
ejpam-3426	252	32	j2	j2	PROPN
ejpam-3426	252	33	1	1	NUM
ejpam-3426	252	34	(	(	PUNCT
ejpam-3426	252	35	r2	r2	PROPN
ejpam-3426	252	36	rm	rm	PROPN
ejpam-3426	252	37	)	)	PUNCT
ejpam-3426	252	38	bω(r	bω(r	NUM
ejpam-3426	252	39	rm	rm	PROPN
ejpam-3426	252	40	)	)	PUNCT
ejpam-3426	252	41	j2	j2	PROPN
ejpam-3426	252	42	2	2	NUM
ejpam-3426	252	43	(	(	PUNCT
ejpam-3426	252	44	r1	r1	PROPN
ejpam-3426	252	45	rm)−	rm)−	PROPN
ejpam-3426	252	46	j2	j2	PROPN
ejpam-3426	252	47	1	1	NUM
ejpam-3426	252	48	(	(	PUNCT
ejpam-3426	252	49	r2	r2	PROPN
ejpam-3426	252	50	rm	rm	PROPN
ejpam-3426	252	51	)	)	PUNCT
ejpam-3426	252	52	1	1	NUM
ejpam-3426	252	53	1	1	NUM
ejpam-3426	253	1	+	+	CCONJ
ejpam-3426	253	2	α(φ	α(φ	PROPN
ejpam-3426	253	3	+	+	NUM
ejpam-3426	253	4	r2	r2	PROPN
ejpam-3426	253	5	m	m	PROPN
ejpam-3426	253	6	)	)	PUNCT
ejpam-3426	253	7	∫	∫	PROPN
ejpam-3426	253	8	t	t	PROPN
ejpam-3426	253	9	0	0	NUM
ejpam-3426	253	10	(	(	PUNCT
ejpam-3426	253	11	t−	t−	PROPN
ejpam-3426	253	12	u)p	u)p	ADJ
ejpam-3426	253	13	m.	m.	NOUN
ejpam-3426	253	14	jamil	jamil	PROPN
ejpam-3426	253	15	,	,	PUNCT
ejpam-3426	253	16	m.	m.	NOUN
ejpam-3426	253	17	zafarullah	zafarullah	PROPN
ejpam-3426	253	18	/	/	SYM
ejpam-3426	253	19	eur	eur	PROPN
ejpam-3426	253	20	.	.	PUNCT
ejpam-3426	254	1	j.	j.	PROPN
ejpam-3426	254	2	pure	pure	PROPN
ejpam-3426	254	3	appl	appl	PROPN
ejpam-3426	254	4	.	.	PROPN
ejpam-3426	254	5	math	math	PROPN
ejpam-3426	254	6	,	,	PUNCT
ejpam-3426	254	7	12	12	NUM
ejpam-3426	254	8	(	(	PUNCT
ejpam-3426	254	9	3	3	NUM
ejpam-3426	254	10	)	)	PUNCT
ejpam-3426	254	11	(	(	PUNCT
ejpam-3426	254	12	2019	2019	NUM
ejpam-3426	254	13	)	)	PUNCT
ejpam-3426	254	14	,	,	PUNCT
ejpam-3426	254	15	1149	1149	NUM
ejpam-3426	254	16	-	-	SYM
ejpam-3426	254	17	1175	1175	NUM
ejpam-3426	254	18	1159	1159	NUM
ejpam-3426	254	19	×	×	NOUN
ejpam-3426	254	20	[	[	PUNCT
ejpam-3426	254	21	p	p	X
ejpam-3426	254	22	(	(	PUNCT
ejpam-3426	254	23	1	1	NUM
ejpam-3426	254	24	+	+	CCONJ
ejpam-3426	254	25	αφ	αφ	NUM
ejpam-3426	254	26	)	)	PUNCT
ejpam-3426	254	27	t−	t−	PART
ejpam-3426	254	28	u	u	NOUN
ejpam-3426	254	29	+	+	NOUN
ejpam-3426	254	30	m	m	VERB
ejpam-3426	254	31	+	+	ADJ
ejpam-3426	254	32	φϑ	φϑ	X
ejpam-3426	254	33	]	]	PUNCT
ejpam-3426	254	34	exp	exp	NOUN
ejpam-3426	254	35	[	[	PUNCT
ejpam-3426	254	36	−	−	PROPN
ejpam-3426	254	37	m	m	PROPN
ejpam-3426	254	38	+	+	X
ejpam-3426	254	39	ϑ	ϑ	X
ejpam-3426	254	40	(	(	PUNCT
ejpam-3426	254	41	φ	φ	PROPN
ejpam-3426	254	42	+	+	X
ejpam-3426	254	43	r2	r2	PROPN
ejpam-3426	254	44	m	m	PROPN
ejpam-3426	254	45	)	)	PUNCT
ejpam-3426	254	46	1	1	NUM
ejpam-3426	255	1	+	+	NUM
ejpam-3426	255	2	α	α	PROPN
ejpam-3426	255	3	(	(	PUNCT
ejpam-3426	255	4	φ	φ	PROPN
ejpam-3426	255	5	+	+	CCONJ
ejpam-3426	255	6	r2	r2	PROPN
ejpam-3426	255	7	m	m	PROPN
ejpam-3426	255	8	)	)	PUNCT
ejpam-3426	255	9	u	u	NOUN
ejpam-3426	255	10	]	]	PUNCT
ejpam-3426	255	11	du−	du−	NUM
ejpam-3426	255	12	f2	f2	ADV
ejpam-3426	255	13	π2	π2	AUX
ejpam-3426	255	14	ρr2	ρr2	PROPN
ejpam-3426	255	15	2	2	NUM
ejpam-3426	255	16	×	×	NOUN
ejpam-3426	255	17	∞∑	∞∑	PROPN
ejpam-3426	255	18	m=1	m=1	PUNCT
ejpam-3426	255	19	r4	r4	PROPN
ejpam-3426	255	20	m	m	PROPN
ejpam-3426	255	21	j	j	NOUN
ejpam-3426	255	22	2	2	NUM
ejpam-3426	255	23	1	1	NUM
ejpam-3426	255	24	(	(	PUNCT
ejpam-3426	255	25	r2	r2	PROPN
ejpam-3426	255	26	rm	rm	PROPN
ejpam-3426	255	27	)	)	PUNCT
ejpam-3426	255	28	bω(r	bω(r	NUM
ejpam-3426	255	29	rm	rm	PROPN
ejpam-3426	255	30	)	)	PUNCT
ejpam-3426	255	31	dw(r1	dw(r1	PROPN
ejpam-3426	255	32	,	,	PUNCT
ejpam-3426	255	33	r2	r2	PROPN
ejpam-3426	255	34	,	,	PUNCT
ejpam-3426	255	35	rm	rm	PROPN
ejpam-3426	255	36	)	)	PUNCT
ejpam-3426	255	37	j2	j2	PROPN
ejpam-3426	255	38	2	2	NUM
ejpam-3426	255	39	(	(	PUNCT
ejpam-3426	255	40	r1	r1	PROPN
ejpam-3426	255	41	rm)−	rm)−	PROPN
ejpam-3426	255	42	j2	j2	PROPN
ejpam-3426	255	43	1	1	NUM
ejpam-3426	255	44	(	(	PUNCT
ejpam-3426	255	45	r2	r2	PROPN
ejpam-3426	255	46	rm	rm	PROPN
ejpam-3426	255	47	)	)	PUNCT
ejpam-3426	255	48	1	1	NUM
ejpam-3426	255	49	1	1	NUM
ejpam-3426	255	50	+	+	CCONJ
ejpam-3426	255	51	α(φ	α(φ	PROPN
ejpam-3426	255	52	+	+	NUM
ejpam-3426	255	53	r2	r2	PROPN
ejpam-3426	255	54	m	m	PROPN
ejpam-3426	255	55	)	)	PUNCT
ejpam-3426	256	1	∫	∫	PROPN
ejpam-3426	256	2	t	t	PROPN
ejpam-3426	256	3	0	0	NUM
ejpam-3426	256	4	(	(	PUNCT
ejpam-3426	256	5	t−	t−	X
ejpam-3426	256	6	u)p	u)p	ADJ
ejpam-3426	256	7	×	×	NOUN
ejpam-3426	256	8	[	[	PUNCT
ejpam-3426	256	9	ϑ2	ϑ2	PROPN
ejpam-3426	256	10	+	+	CCONJ
ejpam-3426	256	11	2αϑp	2αϑp	NUM
ejpam-3426	256	12	t−	t−	ADJ
ejpam-3426	256	13	u	u	NOUN
ejpam-3426	256	14	+	+	CCONJ
ejpam-3426	256	15	α2	α2	ADJ
ejpam-3426	256	16	p(p−	p(p−	VERB
ejpam-3426	256	17	1	1	NUM
ejpam-3426	256	18	)	)	PUNCT
ejpam-3426	256	19	(	(	PUNCT
ejpam-3426	256	20	t−	t−	PROPN
ejpam-3426	256	21	u)2	u)2	NOUN
ejpam-3426	256	22	]	]	X
ejpam-3426	256	23	exp	exp	NOUN
ejpam-3426	256	24	[	[	PUNCT
ejpam-3426	256	25	−	−	PROPN
ejpam-3426	256	26	m	m	PROPN
ejpam-3426	256	27	+	+	X
ejpam-3426	256	28	ϑ	ϑ	X
ejpam-3426	256	29	(	(	PUNCT
ejpam-3426	256	30	φ	φ	PROPN
ejpam-3426	256	31	+	+	X
ejpam-3426	256	32	r2	r2	PROPN
ejpam-3426	256	33	m	m	PROPN
ejpam-3426	256	34	)	)	PUNCT
ejpam-3426	256	35	1	1	NUM
ejpam-3426	257	1	+	+	NUM
ejpam-3426	257	2	α	α	PROPN
ejpam-3426	257	3	(	(	PUNCT
ejpam-3426	257	4	φ	φ	PROPN
ejpam-3426	257	5	+	+	CCONJ
ejpam-3426	257	6	r2	r2	PROPN
ejpam-3426	257	7	m	m	PROPN
ejpam-3426	257	8	)	)	PUNCT
ejpam-3426	257	9	u	u	NOUN
ejpam-3426	257	10	]	]	X
ejpam-3426	257	11	du	du	X
ejpam-3426	257	12	,	,	PUNCT
ejpam-3426	257	13	(	(	PUNCT
ejpam-3426	257	14	34	34	NUM
ejpam-3426	257	15	)	)	PUNCT
ejpam-3426	257	16	and	and	CCONJ
ejpam-3426	257	17	for	for	ADP
ejpam-3426	257	18	longitudinal	longitudinal	ADJ
ejpam-3426	257	19	case	case	NOUN
ejpam-3426	257	20	τv(r	τv(r	PUNCT
ejpam-3426	257	21	,	,	PUNCT
ejpam-3426	257	22	t	t	NOUN
ejpam-3426	257	23	)	)	PUNCT
ejpam-3426	257	24	=	=	SYM
ejpam-3426	257	25	g1	g1	PROPN
ejpam-3426	257	26	(	(	PUNCT
ejpam-3426	257	27	r1	r1	PROPN
ejpam-3426	257	28	r	r	NOUN
ejpam-3426	257	29	)	)	PUNCT
ejpam-3426	257	30	tp	tp	ADP
ejpam-3426	257	31	+	+	CCONJ
ejpam-3426	257	32	g1π	g1π	PROPN
ejpam-3426	257	33	∞∑	∞∑	NUM
ejpam-3426	257	34	n=1	n=1	PROPN
ejpam-3426	258	1	j2	j2	PROPN
ejpam-3426	259	1	0	0	NUM
ejpam-3426	260	1	(	(	PUNCT
ejpam-3426	260	2	r2	r2	PROPN
ejpam-3426	260	3	rn	rn	PROPN
ejpam-3426	260	4	)	)	PUNCT
ejpam-3426	260	5	bv(r	bv(r	PUNCT
ejpam-3426	260	6	rn	rn	PROPN
ejpam-3426	260	7	)	)	PUNCT
ejpam-3426	260	8	j2	j2	PROPN
ejpam-3426	260	9	1	1	NUM
ejpam-3426	260	10	(	(	PUNCT
ejpam-3426	260	11	r1	r1	PROPN
ejpam-3426	260	12	rn)−	rn)−	NOUN
ejpam-3426	260	13	j2	j2	NOUN
ejpam-3426	260	14	0	0	NUM
ejpam-3426	260	15	(	(	PUNCT
ejpam-3426	260	16	r2	r2	PROPN
ejpam-3426	260	17	rn	rn	PROPN
ejpam-3426	260	18	)	)	PUNCT
ejpam-3426	260	19	1	1	NUM
ejpam-3426	260	20	1	1	NUM
ejpam-3426	260	21	+	+	CCONJ
ejpam-3426	260	22	α(φ	α(φ	PROPN
ejpam-3426	261	1	+	+	NUM
ejpam-3426	261	2	r2	r2	PROPN
ejpam-3426	261	3	n	n	CCONJ
ejpam-3426	261	4	)	)	PUNCT
ejpam-3426	261	5	∫	∫	PROPN
ejpam-3426	261	6	t	t	PROPN
ejpam-3426	261	7	0	0	NUM
ejpam-3426	261	8	(	(	PUNCT
ejpam-3426	261	9	t−	t−	X
ejpam-3426	261	10	u)p	u)p	ADJ
ejpam-3426	261	11	×	×	NOUN
ejpam-3426	261	12	[	[	PUNCT
ejpam-3426	261	13	p	p	X
ejpam-3426	261	14	(	(	PUNCT
ejpam-3426	261	15	1	1	NUM
ejpam-3426	261	16	+	+	CCONJ
ejpam-3426	261	17	αφ	αφ	NUM
ejpam-3426	261	18	)	)	PUNCT
ejpam-3426	261	19	t−	t−	PART
ejpam-3426	261	20	u	u	NOUN
ejpam-3426	261	21	+	+	NOUN
ejpam-3426	261	22	m	m	VERB
ejpam-3426	261	23	+	+	ADJ
ejpam-3426	261	24	φϑ	φϑ	X
ejpam-3426	261	25	]	]	PUNCT
ejpam-3426	261	26	exp	exp	NOUN
ejpam-3426	261	27	[	[	PUNCT
ejpam-3426	261	28	−	−	PROPN
ejpam-3426	261	29	m	m	PROPN
ejpam-3426	261	30	+	+	X
ejpam-3426	261	31	ϑ	ϑ	X
ejpam-3426	261	32	(	(	PUNCT
ejpam-3426	261	33	φ	φ	PROPN
ejpam-3426	261	34	+	+	CCONJ
ejpam-3426	261	35	r2	r2	PROPN
ejpam-3426	261	36	n	n	CCONJ
ejpam-3426	261	37	)	)	PUNCT
ejpam-3426	261	38	1	1	NUM
ejpam-3426	262	1	+	+	NUM
ejpam-3426	262	2	α	α	PROPN
ejpam-3426	262	3	(	(	PUNCT
ejpam-3426	262	4	φ	φ	PROPN
ejpam-3426	262	5	+	+	CCONJ
ejpam-3426	262	6	r2	r2	PROPN
ejpam-3426	262	7	n	n	CCONJ
ejpam-3426	262	8	)	)	PUNCT
ejpam-3426	262	9	u	u	NOUN
ejpam-3426	262	10	]	]	PUNCT
ejpam-3426	262	11	du−	du−	PROPN
ejpam-3426	262	12	g2	g2	PROPN
ejpam-3426	262	13	π2	π2	ADJ
ejpam-3426	262	14	ρr2	ρr2	PROPN
ejpam-3426	262	15	2	2	NUM
ejpam-3426	262	16	×	×	NOUN
ejpam-3426	262	17	∞∑	∞∑	NUM
ejpam-3426	262	18	n=1	n=1	PROPN
ejpam-3426	262	19	r4	r4	VERB
ejpam-3426	262	20	n	n	PROPN
ejpam-3426	262	21	j	j	PROPN
ejpam-3426	262	22	2	2	NUM
ejpam-3426	262	23	0	0	NUM
ejpam-3426	262	24	(	(	PUNCT
ejpam-3426	262	25	r2	r2	PROPN
ejpam-3426	262	26	rn	rn	PROPN
ejpam-3426	262	27	)	)	PUNCT
ejpam-3426	262	28	bω(r	bω(r	NUM
ejpam-3426	262	29	rn	rn	PROPN
ejpam-3426	262	30	)	)	PUNCT
ejpam-3426	262	31	dv(r1	dv(r1	PROPN
ejpam-3426	262	32	,	,	PUNCT
ejpam-3426	262	33	r2	r2	PROPN
ejpam-3426	262	34	,	,	PUNCT
ejpam-3426	262	35	rn	rn	PROPN
ejpam-3426	262	36	)	)	PUNCT
ejpam-3426	262	37	j2	j2	NOUN
ejpam-3426	262	38	1	1	NUM
ejpam-3426	262	39	(	(	PUNCT
ejpam-3426	262	40	r1	r1	PROPN
ejpam-3426	262	41	rn)−	rn)−	NOUN
ejpam-3426	262	42	j2	j2	NOUN
ejpam-3426	262	43	0	0	NUM
ejpam-3426	262	44	(	(	PUNCT
ejpam-3426	262	45	r2	r2	PROPN
ejpam-3426	262	46	rn	rn	PROPN
ejpam-3426	262	47	)	)	PUNCT
ejpam-3426	262	48	1	1	NUM
ejpam-3426	262	49	1	1	NUM
ejpam-3426	262	50	+	+	CCONJ
ejpam-3426	262	51	α(φ	α(φ	PROPN
ejpam-3426	262	52	+	+	NUM
ejpam-3426	262	53	r2	r2	PROPN
ejpam-3426	262	54	n	n	CCONJ
ejpam-3426	262	55	)	)	PUNCT
ejpam-3426	262	56	∫	∫	PROPN
ejpam-3426	263	1	t	t	PROPN
ejpam-3426	263	2	0	0	NUM
ejpam-3426	263	3	(	(	PUNCT
ejpam-3426	263	4	t−	t−	X
ejpam-3426	263	5	u)p	u)p	ADJ
ejpam-3426	263	6	×	×	NOUN
ejpam-3426	263	7	[	[	PUNCT
ejpam-3426	263	8	ϑ2	ϑ2	PROPN
ejpam-3426	263	9	+	+	CCONJ
ejpam-3426	263	10	2αϑp	2αϑp	NUM
ejpam-3426	263	11	t−	t−	ADJ
ejpam-3426	263	12	u	u	NOUN
ejpam-3426	263	13	+	+	CCONJ
ejpam-3426	263	14	α2	α2	ADJ
ejpam-3426	263	15	p(p−	p(p−	VERB
ejpam-3426	263	16	1	1	NUM
ejpam-3426	263	17	)	)	PUNCT
ejpam-3426	263	18	(	(	PUNCT
ejpam-3426	263	19	t−	t−	PROPN
ejpam-3426	263	20	u)2	u)2	NOUN
ejpam-3426	263	21	]	]	X
ejpam-3426	263	22	exp	exp	NOUN
ejpam-3426	263	23	[	[	PUNCT
ejpam-3426	263	24	−	−	PROPN
ejpam-3426	263	25	m	m	PROPN
ejpam-3426	263	26	+	+	X
ejpam-3426	263	27	ϑ	ϑ	X
ejpam-3426	263	28	(	(	PUNCT
ejpam-3426	263	29	φ	φ	PROPN
ejpam-3426	263	30	+	+	CCONJ
ejpam-3426	263	31	r2	r2	PROPN
ejpam-3426	263	32	n	n	CCONJ
ejpam-3426	263	33	)	)	PUNCT
ejpam-3426	263	34	1	1	NUM
ejpam-3426	264	1	+	+	NUM
ejpam-3426	264	2	α	α	PROPN
ejpam-3426	264	3	(	(	PUNCT
ejpam-3426	264	4	φ	φ	PROPN
ejpam-3426	264	5	+	+	CCONJ
ejpam-3426	264	6	r2	r2	PROPN
ejpam-3426	264	7	n	n	CCONJ
ejpam-3426	264	8	)	)	PUNCT
ejpam-3426	264	9	u	u	NOUN
ejpam-3426	264	10	]	]	PUNCT
ejpam-3426	264	11	du	du	X
ejpam-3426	264	12	.	.	X
ejpam-3426	264	13	(	(	PUNCT
ejpam-3426	264	14	35	35	NUM
ejpam-3426	264	15	)	)	PUNCT
ejpam-3426	264	16	3	3	NUM
ejpam-3426	264	17	.	.	PUNCT
ejpam-3426	265	1	the	the	DET
ejpam-3426	265	2	limiting	limit	VERB
ejpam-3426	265	3	and	and	CCONJ
ejpam-3426	265	4	special	special	ADJ
ejpam-3426	265	5	cases	case	NOUN
ejpam-3426	265	6	3.1	3.1	NUM
ejpam-3426	265	7	.	.	PUNCT
ejpam-3426	266	1	second	second	ADJ
ejpam-3426	266	2	grade	grade	NOUN
ejpam-3426	266	3	with	with	ADP
ejpam-3426	266	4	porous	porous	ADJ
ejpam-3426	266	5	(	(	PUNCT
ejpam-3426	266	6	without	without	ADP
ejpam-3426	266	7	mhd	mhd	NOUN
ejpam-3426	266	8	effect	effect	NOUN
ejpam-3426	266	9	)	)	PUNCT
ejpam-3426	266	10	making	make	VERB
ejpam-3426	266	11	m→	m→	NOUN
ejpam-3426	266	12	0	0	PUNCT
ejpam-3426	266	13	into	into	ADP
ejpam-3426	266	14	(	(	PUNCT
ejpam-3426	266	15	26	26	NUM
ejpam-3426	266	16	)	)	PUNCT
ejpam-3426	266	17	,	,	PUNCT
ejpam-3426	266	18	(	(	PUNCT
ejpam-3426	266	19	27	27	NUM
ejpam-3426	266	20	)	)	PUNCT
ejpam-3426	266	21	,	,	PUNCT
ejpam-3426	266	22	(	(	PUNCT
ejpam-3426	266	23	34	34	NUM
ejpam-3426	266	24	)	)	PUNCT
ejpam-3426	266	25	and	and	CCONJ
ejpam-3426	266	26	(	(	PUNCT
ejpam-3426	266	27	35	35	NUM
ejpam-3426	266	28	)	)	PUNCT
ejpam-3426	267	1	,	,	PUNCT
ejpam-3426	267	2	we	we	PRON
ejpam-3426	267	3	obtain	obtain	VERB
ejpam-3426	267	4	the	the	DET
ejpam-3426	267	5	velocity	velocity	NOUN
ejpam-3426	267	6	field	field	NOUN
ejpam-3426	267	7	components	component	NOUN
ejpam-3426	267	8	and	and	CCONJ
ejpam-3426	267	9	shear	shear	NOUN
ejpam-3426	267	10	stresses	stress	NOUN
ejpam-3426	267	11	for	for	ADP
ejpam-3426	267	12	second	second	ADJ
ejpam-3426	267	13	grade	grade	NOUN
ejpam-3426	267	14	fluid	fluid	NOUN
ejpam-3426	267	15	with	with	ADP
ejpam-3426	267	16	porous	porous	ADJ
ejpam-3426	267	17	effect	effect	NOUN
ejpam-3426	267	18	and	and	CCONJ
ejpam-3426	267	19	without	without	ADP
ejpam-3426	267	20	mhd	mhd	PROPN
ejpam-3426	267	21	.	.	PROPN
ejpam-3426	267	22	3.2	3.2	NUM
ejpam-3426	267	23	.	.	PUNCT
ejpam-3426	268	1	mhd	mhd	PROPN
ejpam-3426	268	2	second	second	ADJ
ejpam-3426	268	3	grade	grade	NOUN
ejpam-3426	268	4	(	(	PUNCT
ejpam-3426	268	5	without	without	ADP
ejpam-3426	268	6	porous	porous	ADJ
ejpam-3426	268	7	effect	effect	NOUN
ejpam-3426	268	8	)	)	PUNCT
ejpam-3426	268	9	putting	put	VERB
ejpam-3426	268	10	φ	φ	PROPN
ejpam-3426	268	11	→	→	SYM
ejpam-3426	268	12	0	0	NUM
ejpam-3426	268	13	into	into	ADP
ejpam-3426	268	14	resultant	resultant	PROPN
ejpam-3426	268	15	eqs	eqs	PROPN
ejpam-3426	268	16	.	.	PUNCT
ejpam-3426	269	1	(	(	PUNCT
ejpam-3426	269	2	26	26	NUM
ejpam-3426	269	3	)	)	PUNCT
ejpam-3426	269	4	,	,	PUNCT
ejpam-3426	269	5	(	(	PUNCT
ejpam-3426	269	6	27	27	NUM
ejpam-3426	269	7	)	)	PUNCT
ejpam-3426	269	8	,	,	PUNCT
ejpam-3426	269	9	(	(	PUNCT
ejpam-3426	269	10	34	34	NUM
ejpam-3426	269	11	)	)	PUNCT
ejpam-3426	269	12	and	and	CCONJ
ejpam-3426	269	13	(	(	PUNCT
ejpam-3426	269	14	35	35	NUM
ejpam-3426	269	15	)	)	PUNCT
ejpam-3426	269	16	,	,	PUNCT
ejpam-3426	269	17	we	we	PRON
ejpam-3426	269	18	obtain	obtain	VERB
ejpam-3426	269	19	the	the	DET
ejpam-3426	269	20	velocity	velocity	NOUN
ejpam-3426	269	21	field	field	NOUN
ejpam-3426	269	22	components	component	NOUN
ejpam-3426	269	23	and	and	CCONJ
ejpam-3426	269	24	the	the	DET
ejpam-3426	269	25	shear	shear	NOUN
ejpam-3426	269	26	stresses	stress	VERB
ejpam-3426	269	27	for	for	ADP
ejpam-3426	269	28	mhd	mhd	PROPN
ejpam-3426	269	29	second	second	ADJ
ejpam-3426	269	30	grade	grade	NOUN
ejpam-3426	269	31	without	without	ADP
ejpam-3426	269	32	porous	porous	ADJ
ejpam-3426	269	33	effects	effect	NOUN
ejpam-3426	269	34	.	.	PUNCT
ejpam-3426	270	1	m.	m.	PROPN
ejpam-3426	270	2	jamil	jamil	PROPN
ejpam-3426	270	3	,	,	PUNCT
ejpam-3426	270	4	m.	m.	NOUN
ejpam-3426	270	5	zafarullah	zafarullah	PROPN
ejpam-3426	270	6	/	/	SYM
ejpam-3426	270	7	eur	eur	PROPN
ejpam-3426	270	8	.	.	PUNCT
ejpam-3426	271	1	j.	j.	PROPN
ejpam-3426	271	2	pure	pure	PROPN
ejpam-3426	271	3	appl	appl	PROPN
ejpam-3426	271	4	.	.	PROPN
ejpam-3426	271	5	math	math	PROPN
ejpam-3426	271	6	,	,	PUNCT
ejpam-3426	271	7	12	12	NUM
ejpam-3426	271	8	(	(	PUNCT
ejpam-3426	271	9	3	3	NUM
ejpam-3426	271	10	)	)	PUNCT
ejpam-3426	271	11	(	(	PUNCT
ejpam-3426	271	12	2019	2019	NUM
ejpam-3426	271	13	)	)	PUNCT
ejpam-3426	271	14	,	,	PUNCT
ejpam-3426	271	15	1149	1149	NUM
ejpam-3426	271	16	-	-	SYM
ejpam-3426	271	17	1175	1175	NUM
ejpam-3426	271	18	1160	1160	NUM
ejpam-3426	271	19	3.3	3.3	NUM
ejpam-3426	271	20	.	.	PUNCT
ejpam-3426	272	1	second	second	ADJ
ejpam-3426	272	2	grade	grade	NOUN
ejpam-3426	272	3	fluid	fluid	NOUN
ejpam-3426	272	4	(	(	PUNCT
ejpam-3426	272	5	without	without	ADP
ejpam-3426	272	6	mhd	mhd	NOUN
ejpam-3426	272	7	and	and	CCONJ
ejpam-3426	272	8	porous	porous	ADJ
ejpam-3426	272	9	effects	effect	NOUN
ejpam-3426	272	10	)	)	PUNCT
ejpam-3426	272	11	applying	apply	VERB
ejpam-3426	272	12	m→	m→	NOUN
ejpam-3426	272	13	0	0	NUM
ejpam-3426	272	14	&	&	CCONJ
ejpam-3426	272	15	φ→	φ→	PROPN
ejpam-3426	272	16	0	0	PROPN
ejpam-3426	272	17	into	into	ADP
ejpam-3426	272	18	(	(	PUNCT
ejpam-3426	272	19	26	26	NUM
ejpam-3426	272	20	)	)	PUNCT
ejpam-3426	272	21	,	,	PUNCT
ejpam-3426	272	22	(	(	PUNCT
ejpam-3426	272	23	27	27	NUM
ejpam-3426	272	24	)	)	PUNCT
ejpam-3426	272	25	,	,	PUNCT
ejpam-3426	272	26	(	(	PUNCT
ejpam-3426	272	27	34	34	NUM
ejpam-3426	272	28	)	)	PUNCT
ejpam-3426	272	29	and	and	CCONJ
ejpam-3426	272	30	(	(	PUNCT
ejpam-3426	272	31	35	35	NUM
ejpam-3426	272	32	)	)	PUNCT
ejpam-3426	272	33	,	,	PUNCT
ejpam-3426	272	34	we	we	PRON
ejpam-3426	272	35	get	get	VERB
ejpam-3426	272	36	the	the	DET
ejpam-3426	272	37	solutions	solution	NOUN
ejpam-3426	272	38	for	for	ADP
ejpam-3426	272	39	velocity	velocity	NOUN
ejpam-3426	272	40	fields	field	NOUN
ejpam-3426	272	41	components	component	NOUN
ejpam-3426	272	42	respectively	respectively	ADV
ejpam-3426	272	43	the	the	DET
ejpam-3426	272	44	shear	shear	NOUN
ejpam-3426	272	45	stresses	stress	NOUN
ejpam-3426	272	46	for	for	ADP
ejpam-3426	272	47	second	second	ADJ
ejpam-3426	272	48	grade	grade	NOUN
ejpam-3426	272	49	fluid	fluid	NOUN
ejpam-3426	272	50	without	without	ADP
ejpam-3426	272	51	mhd	mhd	NOUN
ejpam-3426	272	52	and	and	CCONJ
ejpam-3426	272	53	porous	porous	ADJ
ejpam-3426	272	54	effects	effect	NOUN
ejpam-3426	272	55	.	.	PUNCT
ejpam-3426	273	1	3.4	3.4	NUM
ejpam-3426	273	2	.	.	PUNCT
ejpam-3426	273	3	mhd	mhd	PROPN
ejpam-3426	273	4	newtonian	newtonian	PROPN
ejpam-3426	273	5	with	with	ADP
ejpam-3426	273	6	porous	porous	ADJ
ejpam-3426	273	7	effect	effect	NOUN
ejpam-3426	273	8	employing	employ	VERB
ejpam-3426	273	9	α→	α→	PROPN
ejpam-3426	273	10	0	0	NUM
ejpam-3426	273	11	into	into	ADP
ejpam-3426	273	12	eqs	eqs	PROPN
ejpam-3426	273	13	.	.	PUNCT
ejpam-3426	274	1	(	(	PUNCT
ejpam-3426	274	2	26	26	NUM
ejpam-3426	274	3	)	)	PUNCT
ejpam-3426	274	4	,	,	PUNCT
ejpam-3426	274	5	(	(	PUNCT
ejpam-3426	274	6	27	27	NUM
ejpam-3426	274	7	)	)	PUNCT
ejpam-3426	274	8	,	,	PUNCT
ejpam-3426	274	9	(	(	PUNCT
ejpam-3426	274	10	34	34	NUM
ejpam-3426	274	11	)	)	PUNCT
ejpam-3426	274	12	and	and	CCONJ
ejpam-3426	274	13	(	(	PUNCT
ejpam-3426	274	14	35	35	NUM
ejpam-3426	274	15	)	)	PUNCT
ejpam-3426	274	16	,	,	PUNCT
ejpam-3426	274	17	we	we	PRON
ejpam-3426	274	18	get	get	VERB
ejpam-3426	274	19	ω(r	ω(r	PROPN
ejpam-3426	274	20	,	,	PUNCT
ejpam-3426	274	21	t	t	PROPN
ejpam-3426	274	22	)	)	PUNCT
ejpam-3426	275	1	=	=	SYM
ejpam-3426	275	2	f1	f1	NOUN
ejpam-3426	275	3	2µ	2µ	NUM
ejpam-3426	275	4	(	(	PUNCT
ejpam-3426	275	5	r1	r1	PROPN
ejpam-3426	275	6	r2	r2	PROPN
ejpam-3426	275	7	)	)	PUNCT
ejpam-3426	275	8	2	2	NUM
ejpam-3426	275	9	(	(	PUNCT
ejpam-3426	275	10	r	r	NOUN
ejpam-3426	275	11	−	−	PROPN
ejpam-3426	275	12	r2	r2	NOUN
ejpam-3426	275	13	2	2	NUM
ejpam-3426	275	14	r	r	NOUN
ejpam-3426	275	15	)	)	PUNCT
ejpam-3426	275	16	tp	tp	ADP
ejpam-3426	275	17	−	−	PROPN
ejpam-3426	275	18	f1π	f1π	PROPN
ejpam-3426	275	19	µ	µ	PROPN
ejpam-3426	275	20	∞∑	∞∑	PROPN
ejpam-3426	275	21	m=1	m=1	PROPN
ejpam-3426	275	22	j2	j2	PROPN
ejpam-3426	275	23	1	1	NUM
ejpam-3426	275	24	(	(	PUNCT
ejpam-3426	275	25	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	275	26	)	)	PUNCT
ejpam-3426	275	27	rm[j2	rm[j2	PROPN
ejpam-3426	275	28	2	2	NUM
ejpam-3426	275	29	(	(	PUNCT
ejpam-3426	275	30	r1rm)−	r1rm)−	NOUN
ejpam-3426	275	31	j2	j2	NOUN
ejpam-3426	275	32	1	1	NUM
ejpam-3426	275	33	(	(	PUNCT
ejpam-3426	275	34	r2rm	r2rm	NOUN
ejpam-3426	275	35	)	)	PUNCT
ejpam-3426	275	36	]	]	PUNCT
ejpam-3426	276	1	∫	∫	PROPN
ejpam-3426	276	2	t	t	PROPN
ejpam-3426	276	3	0	0	NUM
ejpam-3426	277	1	(	(	PUNCT
ejpam-3426	277	2	t−	t−	X
ejpam-3426	277	3	u)p	u)p	NOUN
ejpam-3426	277	4	[	[	PUNCT
ejpam-3426	277	5	p	p	X
ejpam-3426	277	6	t−	t−	PROPN
ejpam-3426	277	7	u	u	NOUN
ejpam-3426	277	8	+	+	NOUN
ejpam-3426	277	9	m	m	VERB
ejpam-3426	277	10	+	+	ADJ
ejpam-3426	277	11	φϑ	φϑ	X
ejpam-3426	277	12	]	]	PUNCT
ejpam-3426	277	13	×exp	×exp	PROPN
ejpam-3426	277	14	[	[	PUNCT
ejpam-3426	277	15	−	−	PROPN
ejpam-3426	277	16	{	{	PUNCT
ejpam-3426	277	17	m	m	PROPN
ejpam-3426	277	18	+	+	X
ejpam-3426	277	19	ϑ	ϑ	X
ejpam-3426	277	20	(	(	PUNCT
ejpam-3426	277	21	φ	φ	PROPN
ejpam-3426	277	22	+	+	PROPN
ejpam-3426	277	23	r2	r2	PROPN
ejpam-3426	277	24	m)}u	m)}u	PROPN
ejpam-3426	277	25	]	]	PUNCT
ejpam-3426	277	26	du+	du+	NOUN
ejpam-3426	277	27	f2r2π	f2r2π	NUM
ejpam-3426	277	28	2	2	NUM
ejpam-3426	277	29	2	2	NUM
ejpam-3426	277	30	∞∑	∞∑	PROPN
ejpam-3426	277	31	m=1	m=1	PROPN
ejpam-3426	277	32	r3	r3	PROPN
ejpam-3426	277	33	mj	mj	NOUN
ejpam-3426	277	34	2	2	NUM
ejpam-3426	277	35	1	1	NUM
ejpam-3426	277	36	(	(	PUNCT
ejpam-3426	277	37	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	277	38	)	)	PUNCT
ejpam-3426	277	39	dω(r1	dω(r1	NOUN
ejpam-3426	277	40	,	,	PUNCT
ejpam-3426	277	41	r2	r2	PROPN
ejpam-3426	277	42	,	,	PUNCT
ejpam-3426	277	43	rm	rm	PROPN
ejpam-3426	277	44	)	)	PUNCT
ejpam-3426	277	45	j2	j2	PROPN
ejpam-3426	277	46	2	2	NUM
ejpam-3426	277	47	(	(	PUNCT
ejpam-3426	277	48	r1rm)−	r1rm)−	NOUN
ejpam-3426	277	49	j2	j2	NOUN
ejpam-3426	277	50	1	1	NUM
ejpam-3426	277	51	(	(	PUNCT
ejpam-3426	277	52	r2rm	r2rm	NOUN
ejpam-3426	277	53	)	)	PUNCT
ejpam-3426	277	54	{	{	PUNCT
ejpam-3426	277	55	tp	tp	ADP
ejpam-3426	277	56	−	−	PROPN
ejpam-3426	277	57	∫	∫	PROPN
ejpam-3426	277	58	t	t	PROPN
ejpam-3426	277	59	0	0	NUM
ejpam-3426	277	60	(	(	PUNCT
ejpam-3426	277	61	t−	t−	X
ejpam-3426	277	62	u)p	u)p	NOUN
ejpam-3426	277	63	[	[	PUNCT
ejpam-3426	277	64	m	m	VERB
ejpam-3426	277	65	+	+	ADJ
ejpam-3426	277	66	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	277	67	+	+	CCONJ
ejpam-3426	277	68	r2	r2	PROPN
ejpam-3426	277	69	m	m	VERB
ejpam-3426	277	70	−	−	PROPN
ejpam-3426	277	71	1	1	NUM
ejpam-3426	277	72	)	)	PUNCT
ejpam-3426	277	73	+	+	CCONJ
ejpam-3426	277	74	p	p	ADJ
ejpam-3426	277	75	t−	t−	PROPN
ejpam-3426	277	76	u	u	NOUN
ejpam-3426	277	77	]	]	X
ejpam-3426	277	78	exp	exp	NOUN
ejpam-3426	277	79	[	[	PUNCT
ejpam-3426	277	80	−	−	PROPN
ejpam-3426	277	81	{	{	PUNCT
ejpam-3426	277	82	m	m	PROPN
ejpam-3426	277	83	+	+	X
ejpam-3426	277	84	ϑ	ϑ	X
ejpam-3426	277	85	(	(	PUNCT
ejpam-3426	277	86	φ	φ	PROPN
ejpam-3426	277	87	+	+	PROPN
ejpam-3426	277	88	r2	r2	PROPN
ejpam-3426	277	89	m)}u	m)}u	PROPN
ejpam-3426	277	90	]	]	PUNCT
ejpam-3426	277	91	du	du	PROPN
ejpam-3426	277	92	}	}	PUNCT
ejpam-3426	277	93	,	,	PUNCT
ejpam-3426	277	94	(	(	PUNCT
ejpam-3426	277	95	36	36	NUM
ejpam-3426	277	96	)	)	PUNCT
ejpam-3426	277	97	v(r	v(r	NOUN
ejpam-3426	277	98	,	,	PUNCT
ejpam-3426	277	99	q	q	X
ejpam-3426	277	100	)	)	PUNCT
ejpam-3426	277	101	=	=	PUNCT
ejpam-3426	277	102	g1	g1	PROPN
ejpam-3426	277	103	2µ	2µ	NUM
ejpam-3426	277	104	r1	r1	PROPN
ejpam-3426	277	105	ln	ln	ADV
ejpam-3426	277	106	(	(	PUNCT
ejpam-3426	277	107	r	r	NOUN
ejpam-3426	277	108	r2	r2	PROPN
ejpam-3426	277	109	)	)	PUNCT
ejpam-3426	277	110	tp	tp	ADP
ejpam-3426	277	111	−	−	PROPN
ejpam-3426	277	112	g1π	g1π	NOUN
ejpam-3426	277	113	µ	µ	NOUN
ejpam-3426	278	1	∞∑	∞∑	NUM
ejpam-3426	278	2	n=1	n=1	PROPN
ejpam-3426	278	3	j2	j2	PROPN
ejpam-3426	278	4	0	0	NUM
ejpam-3426	278	5	(	(	PUNCT
ejpam-3426	278	6	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	278	7	)	)	PUNCT
ejpam-3426	278	8	rn[j2	rn[j2	PROPN
ejpam-3426	278	9	1	1	NUM
ejpam-3426	278	10	(	(	PUNCT
ejpam-3426	278	11	r1rn)−	r1rn)−	NOUN
ejpam-3426	278	12	j2	j2	PROPN
ejpam-3426	278	13	0	0	NUM
ejpam-3426	278	14	(	(	PUNCT
ejpam-3426	278	15	r2rn	r2rn	NOUN
ejpam-3426	278	16	)	)	PUNCT
ejpam-3426	278	17	]	]	PUNCT
ejpam-3426	279	1	∫	∫	PROPN
ejpam-3426	279	2	t	t	PROPN
ejpam-3426	279	3	0	0	NUM
ejpam-3426	280	1	(	(	PUNCT
ejpam-3426	280	2	t−	t−	X
ejpam-3426	280	3	u)p	u)p	NOUN
ejpam-3426	280	4	[	[	PUNCT
ejpam-3426	280	5	p	p	X
ejpam-3426	280	6	t−	t−	PROPN
ejpam-3426	280	7	u	u	NOUN
ejpam-3426	280	8	+	+	NOUN
ejpam-3426	280	9	m	m	VERB
ejpam-3426	280	10	+	+	ADJ
ejpam-3426	280	11	φϑ	φϑ	X
ejpam-3426	280	12	]	]	PUNCT
ejpam-3426	280	13	×exp	×exp	PROPN
ejpam-3426	280	14	[	[	PUNCT
ejpam-3426	280	15	−	−	PROPN
ejpam-3426	280	16	{	{	PUNCT
ejpam-3426	280	17	m	m	PROPN
ejpam-3426	280	18	+	+	X
ejpam-3426	280	19	ϑ	ϑ	X
ejpam-3426	280	20	(	(	PUNCT
ejpam-3426	280	21	φ	φ	PROPN
ejpam-3426	280	22	+	+	X
ejpam-3426	280	23	r2	r2	PROPN
ejpam-3426	280	24	n)}u	n)}u	NUM
ejpam-3426	280	25	]	]	PUNCT
ejpam-3426	281	1	du+	du+	NOUN
ejpam-3426	281	2	g2r2π	g2r2π	NUM
ejpam-3426	281	3	2	2	NUM
ejpam-3426	281	4	2	2	NUM
ejpam-3426	281	5	∞∑	∞∑	NUM
ejpam-3426	281	6	n=1	n=1	PROPN
ejpam-3426	281	7	r3	r3	PROPN
ejpam-3426	281	8	nj	nj	PROPN
ejpam-3426	281	9	2	2	NUM
ejpam-3426	281	10	0	0	NUM
ejpam-3426	281	11	(	(	PUNCT
ejpam-3426	281	12	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	281	13	)	)	PUNCT
ejpam-3426	281	14	dv(r1	dv(r1	NOUN
ejpam-3426	281	15	,	,	PUNCT
ejpam-3426	281	16	r2	r2	PROPN
ejpam-3426	281	17	,	,	PUNCT
ejpam-3426	281	18	rn	rn	PROPN
ejpam-3426	281	19	)	)	PUNCT
ejpam-3426	281	20	j2	j2	NOUN
ejpam-3426	281	21	1	1	NUM
ejpam-3426	281	22	(	(	PUNCT
ejpam-3426	281	23	r1rn)−	r1rn)−	NOUN
ejpam-3426	281	24	j2	j2	PROPN
ejpam-3426	281	25	0	0	NUM
ejpam-3426	281	26	(	(	PUNCT
ejpam-3426	281	27	r2rn	r2rn	NOUN
ejpam-3426	281	28	)	)	PUNCT
ejpam-3426	281	29	{	{	PUNCT
ejpam-3426	281	30	tp	tp	ADP
ejpam-3426	281	31	−	−	PROPN
ejpam-3426	282	1	∫	∫	PROPN
ejpam-3426	282	2	t	t	PROPN
ejpam-3426	282	3	0	0	NUM
ejpam-3426	282	4	(	(	PUNCT
ejpam-3426	282	5	t−	t−	X
ejpam-3426	282	6	u)p	u)p	NOUN
ejpam-3426	282	7	[	[	PUNCT
ejpam-3426	282	8	m	m	VERB
ejpam-3426	282	9	+	+	ADJ
ejpam-3426	282	10	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	282	11	+	+	CCONJ
ejpam-3426	282	12	r2	r2	PROPN
ejpam-3426	282	13	n	n	CCONJ
ejpam-3426	282	14	−	−	PROPN
ejpam-3426	282	15	1	1	NUM
ejpam-3426	282	16	)	)	PUNCT
ejpam-3426	283	1	+	+	CCONJ
ejpam-3426	283	2	p	p	ADJ
ejpam-3426	283	3	t−	t−	PROPN
ejpam-3426	283	4	u	u	NOUN
ejpam-3426	283	5	]	]	X
ejpam-3426	283	6	exp	exp	NOUN
ejpam-3426	283	7	[	[	PUNCT
ejpam-3426	283	8	−	−	PROPN
ejpam-3426	283	9	{	{	PUNCT
ejpam-3426	283	10	m	m	PROPN
ejpam-3426	283	11	+	+	X
ejpam-3426	283	12	ϑ	ϑ	X
ejpam-3426	283	13	(	(	PUNCT
ejpam-3426	283	14	φ	φ	PROPN
ejpam-3426	283	15	+	+	X
ejpam-3426	283	16	r2	r2	PROPN
ejpam-3426	283	17	n)}u	n)}u	NUM
ejpam-3426	283	18	]	]	PUNCT
ejpam-3426	283	19	du	du	X
ejpam-3426	283	20	}	}	PUNCT
ejpam-3426	283	21	,	,	PUNCT
ejpam-3426	283	22	(	(	PUNCT
ejpam-3426	283	23	37	37	NUM
ejpam-3426	283	24	)	)	PUNCT
ejpam-3426	283	25	the	the	DET
ejpam-3426	283	26	solution	solution	NOUN
ejpam-3426	283	27	for	for	ADP
ejpam-3426	283	28	the	the	DET
ejpam-3426	283	29	velocity	velocity	NOUN
ejpam-3426	283	30	field	field	NOUN
ejpam-3426	283	31	components	component	NOUN
ejpam-3426	283	32	,	,	PUNCT
ejpam-3426	283	33	and	and	CCONJ
ejpam-3426	283	34	τω(r1	τω(r1	NUM
ejpam-3426	283	35	,	,	PUNCT
ejpam-3426	283	36	t	t	PROPN
ejpam-3426	283	37	)	)	PUNCT
ejpam-3426	283	38	=	=	SYM
ejpam-3426	283	39	f1	f1	NOUN
ejpam-3426	283	40	(	(	PUNCT
ejpam-3426	283	41	r1	r1	PROPN
ejpam-3426	283	42	r	r	NOUN
ejpam-3426	283	43	)	)	PUNCT
ejpam-3426	283	44	tp	tp	ADP
ejpam-3426	283	45	+	+	CCONJ
ejpam-3426	283	46	f1π	f1π	PROPN
ejpam-3426	283	47	∞∑	∞∑	PROPN
ejpam-3426	283	48	m=1	m=1	PROPN
ejpam-3426	283	49	j2	j2	PROPN
ejpam-3426	283	50	1	1	NUM
ejpam-3426	283	51	(	(	PUNCT
ejpam-3426	283	52	r2	r2	PROPN
ejpam-3426	283	53	rm	rm	PROPN
ejpam-3426	283	54	)	)	PUNCT
ejpam-3426	283	55	bω(r	bω(r	NUM
ejpam-3426	283	56	rm	rm	PROPN
ejpam-3426	283	57	)	)	PUNCT
ejpam-3426	283	58	j2	j2	PROPN
ejpam-3426	283	59	2	2	NUM
ejpam-3426	283	60	(	(	PUNCT
ejpam-3426	283	61	r1	r1	PROPN
ejpam-3426	283	62	rm)−	rm)−	PROPN
ejpam-3426	283	63	j2	j2	PROPN
ejpam-3426	283	64	1	1	NUM
ejpam-3426	283	65	(	(	PUNCT
ejpam-3426	283	66	r2	r2	PROPN
ejpam-3426	283	67	rm	rm	PROPN
ejpam-3426	283	68	)	)	PUNCT
ejpam-3426	283	69	∫	∫	PROPN
ejpam-3426	284	1	t	t	PROPN
ejpam-3426	284	2	0	0	NUM
ejpam-3426	284	3	(	(	PUNCT
ejpam-3426	284	4	t−	t−	X
ejpam-3426	284	5	u)p	u)p	NOUN
ejpam-3426	284	6	[	[	PUNCT
ejpam-3426	284	7	p	p	X
ejpam-3426	284	8	t−	t−	PROPN
ejpam-3426	284	9	u	u	NOUN
ejpam-3426	284	10	+	+	NOUN
ejpam-3426	284	11	m	m	VERB
ejpam-3426	284	12	+	+	ADJ
ejpam-3426	284	13	φϑ	φϑ	X
ejpam-3426	284	14	]	]	PUNCT
ejpam-3426	284	15	×exp	×exp	PROPN
ejpam-3426	284	16	[	[	PUNCT
ejpam-3426	284	17	−	−	PROPN
ejpam-3426	284	18	{	{	PUNCT
ejpam-3426	284	19	m	m	PROPN
ejpam-3426	284	20	+	+	X
ejpam-3426	284	21	ϑ	ϑ	X
ejpam-3426	284	22	(	(	PUNCT
ejpam-3426	284	23	φ	φ	PROPN
ejpam-3426	284	24	+	+	PROPN
ejpam-3426	284	25	r2	r2	PROPN
ejpam-3426	284	26	m)}u	m)}u	NUM
ejpam-3426	284	27	]	]	PUNCT
ejpam-3426	285	1	du−	du−	PUNCT
ejpam-3426	285	2	f2	f2	PROPN
ejpam-3426	285	3	π2	π2	PROPN
ejpam-3426	285	4	ρr2ϑ	ρr2ϑ	PROPN
ejpam-3426	285	5	2	2	NUM
ejpam-3426	285	6	2	2	NUM
ejpam-3426	285	7	∞∑	∞∑	PROPN
ejpam-3426	285	8	m=1	m=1	PROPN
ejpam-3426	285	9	r4	r4	PROPN
ejpam-3426	285	10	m	m	PROPN
ejpam-3426	285	11	j	j	NOUN
ejpam-3426	285	12	2	2	NUM
ejpam-3426	285	13	1	1	NUM
ejpam-3426	285	14	(	(	PUNCT
ejpam-3426	285	15	r2	r2	PROPN
ejpam-3426	285	16	rm)bω(r	rm)bω(r	PROPN
ejpam-3426	285	17	rm	rm	PROPN
ejpam-3426	285	18	)	)	PUNCT
ejpam-3426	285	19	dω(r1	dω(r1	PROPN
ejpam-3426	285	20	,	,	PUNCT
ejpam-3426	285	21	r2	r2	PROPN
ejpam-3426	285	22	,	,	PUNCT
ejpam-3426	285	23	rm	rm	PROPN
ejpam-3426	285	24	)	)	PUNCT
ejpam-3426	285	25	j2	j2	PROPN
ejpam-3426	285	26	2	2	NUM
ejpam-3426	285	27	(	(	PUNCT
ejpam-3426	285	28	r1	r1	PROPN
ejpam-3426	285	29	rm)−	rm)−	PROPN
ejpam-3426	285	30	j2	j2	PROPN
ejpam-3426	285	31	1	1	NUM
ejpam-3426	285	32	(	(	PUNCT
ejpam-3426	285	33	r2	r2	PROPN
ejpam-3426	285	34	rm	rm	PROPN
ejpam-3426	285	35	)	)	PUNCT
ejpam-3426	285	36	m.	m.	PROPN
ejpam-3426	285	37	jamil	jamil	PROPN
ejpam-3426	285	38	,	,	PUNCT
ejpam-3426	285	39	m.	m.	NOUN
ejpam-3426	285	40	zafarullah	zafarullah	PROPN
ejpam-3426	285	41	/	/	SYM
ejpam-3426	285	42	eur	eur	PROPN
ejpam-3426	285	43	.	.	PUNCT
ejpam-3426	286	1	j.	j.	PROPN
ejpam-3426	286	2	pure	pure	PROPN
ejpam-3426	286	3	appl	appl	PROPN
ejpam-3426	286	4	.	.	PROPN
ejpam-3426	286	5	math	math	PROPN
ejpam-3426	286	6	,	,	PUNCT
ejpam-3426	286	7	12	12	NUM
ejpam-3426	286	8	(	(	PUNCT
ejpam-3426	286	9	3	3	NUM
ejpam-3426	286	10	)	)	PUNCT
ejpam-3426	286	11	(	(	PUNCT
ejpam-3426	286	12	2019	2019	NUM
ejpam-3426	286	13	)	)	PUNCT
ejpam-3426	286	14	,	,	PUNCT
ejpam-3426	286	15	1149	1149	NUM
ejpam-3426	286	16	-	-	SYM
ejpam-3426	286	17	1175	1175	NUM
ejpam-3426	286	18	1161	1161	NUM
ejpam-3426	286	19	×	×	NOUN
ejpam-3426	286	20	∫	∫	PROPN
ejpam-3426	286	21	t	t	PROPN
ejpam-3426	286	22	0	0	NUM
ejpam-3426	286	23	(	(	PUNCT
ejpam-3426	286	24	t−	t−	PROPN
ejpam-3426	286	25	u)pexp	u)pexp	X
ejpam-3426	286	26	[	[	PUNCT
ejpam-3426	286	27	−	−	X
ejpam-3426	286	28	{	{	PUNCT
ejpam-3426	286	29	m	m	PROPN
ejpam-3426	286	30	+	+	X
ejpam-3426	286	31	ϑ	ϑ	X
ejpam-3426	286	32	(	(	PUNCT
ejpam-3426	286	33	φ	φ	PROPN
ejpam-3426	286	34	+	+	PROPN
ejpam-3426	286	35	r2	r2	PROPN
ejpam-3426	286	36	m)}u	m)}u	PROPN
ejpam-3426	286	37	]	]	PUNCT
ejpam-3426	286	38	du	du	X
ejpam-3426	286	39	,	,	PUNCT
ejpam-3426	286	40	(	(	PUNCT
ejpam-3426	286	41	38	38	NUM
ejpam-3426	286	42	)	)	PUNCT
ejpam-3426	286	43	τv(r1	τv(r1	PROPN
ejpam-3426	286	44	,	,	PUNCT
ejpam-3426	286	45	t	t	NOUN
ejpam-3426	286	46	)	)	PUNCT
ejpam-3426	286	47	=	=	SYM
ejpam-3426	286	48	g1	g1	PROPN
ejpam-3426	286	49	(	(	PUNCT
ejpam-3426	286	50	r1	r1	PROPN
ejpam-3426	286	51	r	r	NOUN
ejpam-3426	286	52	)	)	PUNCT
ejpam-3426	286	53	tp	tp	ADP
ejpam-3426	286	54	+	+	CCONJ
ejpam-3426	286	55	g1π	g1π	PROPN
ejpam-3426	286	56	∞∑	∞∑	NUM
ejpam-3426	286	57	n=1	n=1	PROPN
ejpam-3426	287	1	j2	j2	PROPN
ejpam-3426	287	2	0	0	NUM
ejpam-3426	287	3	(	(	PUNCT
ejpam-3426	287	4	r2	r2	PROPN
ejpam-3426	287	5	rn	rn	PROPN
ejpam-3426	287	6	)	)	PUNCT
ejpam-3426	287	7	bv(r	bv(r	PUNCT
ejpam-3426	287	8	rn	rn	PROPN
ejpam-3426	287	9	)	)	PUNCT
ejpam-3426	287	10	j2	j2	PROPN
ejpam-3426	287	11	1	1	NUM
ejpam-3426	287	12	(	(	PUNCT
ejpam-3426	287	13	r1	r1	PROPN
ejpam-3426	287	14	rn)−	rn)−	NOUN
ejpam-3426	287	15	j2	j2	NOUN
ejpam-3426	287	16	0	0	NUM
ejpam-3426	287	17	(	(	PUNCT
ejpam-3426	287	18	r2	r2	PROPN
ejpam-3426	287	19	rn	rn	PROPN
ejpam-3426	287	20	)	)	PUNCT
ejpam-3426	287	21	∫	∫	PROPN
ejpam-3426	288	1	t	t	PROPN
ejpam-3426	288	2	0	0	NUM
ejpam-3426	288	3	(	(	PUNCT
ejpam-3426	288	4	t−	t−	X
ejpam-3426	288	5	u)p	u)p	NOUN
ejpam-3426	288	6	[	[	PUNCT
ejpam-3426	288	7	p	p	X
ejpam-3426	288	8	t−	t−	PROPN
ejpam-3426	288	9	u	u	NOUN
ejpam-3426	288	10	+	+	NOUN
ejpam-3426	288	11	m	m	VERB
ejpam-3426	288	12	+	+	ADJ
ejpam-3426	288	13	φϑ	φϑ	X
ejpam-3426	288	14	]	]	PUNCT
ejpam-3426	288	15	×exp	×exp	PROPN
ejpam-3426	288	16	[	[	PUNCT
ejpam-3426	288	17	−	−	PROPN
ejpam-3426	288	18	{	{	PUNCT
ejpam-3426	288	19	m	m	PROPN
ejpam-3426	288	20	+	+	X
ejpam-3426	288	21	ϑ	ϑ	X
ejpam-3426	288	22	(	(	PUNCT
ejpam-3426	288	23	φ	φ	PROPN
ejpam-3426	288	24	+	+	X
ejpam-3426	288	25	r2	r2	PROPN
ejpam-3426	288	26	n)}u	n)}u	NUM
ejpam-3426	288	27	]	]	PUNCT
ejpam-3426	288	28	du−	du−	PROPN
ejpam-3426	288	29	g2	g2	PROPN
ejpam-3426	288	30	π2	π2	PROPN
ejpam-3426	288	31	ρr2ϑ	ρr2ϑ	PROPN
ejpam-3426	288	32	2	2	NUM
ejpam-3426	288	33	2	2	NUM
ejpam-3426	288	34	∞∑	∞∑	NUM
ejpam-3426	288	35	n=1	n=1	PROPN
ejpam-3426	288	36	r4	r4	VERB
ejpam-3426	288	37	n	n	PROPN
ejpam-3426	288	38	j	j	PROPN
ejpam-3426	288	39	2	2	NUM
ejpam-3426	288	40	0	0	NUM
ejpam-3426	288	41	(	(	PUNCT
ejpam-3426	288	42	r2	r2	PROPN
ejpam-3426	288	43	rn	rn	PROPN
ejpam-3426	288	44	)	)	PUNCT
ejpam-3426	288	45	bv(r	bv(r	PUNCT
ejpam-3426	288	46	rn	rn	PROPN
ejpam-3426	288	47	)	)	PUNCT
ejpam-3426	288	48	dv(r1	dv(r1	PROPN
ejpam-3426	288	49	,	,	PUNCT
ejpam-3426	288	50	r2	r2	PROPN
ejpam-3426	288	51	,	,	PUNCT
ejpam-3426	288	52	rn	rn	PROPN
ejpam-3426	288	53	)	)	PUNCT
ejpam-3426	288	54	j2	j2	NOUN
ejpam-3426	288	55	1	1	NUM
ejpam-3426	288	56	(	(	PUNCT
ejpam-3426	288	57	r1	r1	PROPN
ejpam-3426	288	58	rn)−	rn)−	NOUN
ejpam-3426	288	59	j2	j2	NOUN
ejpam-3426	288	60	0	0	NUM
ejpam-3426	288	61	(	(	PUNCT
ejpam-3426	288	62	r2	r2	PROPN
ejpam-3426	288	63	rn	rn	PROPN
ejpam-3426	288	64	)	)	PUNCT
ejpam-3426	288	65	×	×	NOUN
ejpam-3426	288	66	∫	∫	PROPN
ejpam-3426	288	67	t	t	PROPN
ejpam-3426	288	68	0	0	NUM
ejpam-3426	288	69	(	(	PUNCT
ejpam-3426	288	70	t−	t−	PROPN
ejpam-3426	288	71	u)pexp	u)pexp	X
ejpam-3426	288	72	[	[	PUNCT
ejpam-3426	288	73	−	−	X
ejpam-3426	288	74	{	{	PUNCT
ejpam-3426	288	75	m	m	PROPN
ejpam-3426	288	76	+	+	X
ejpam-3426	288	77	ϑ	ϑ	X
ejpam-3426	288	78	(	(	PUNCT
ejpam-3426	288	79	φ	φ	PROPN
ejpam-3426	288	80	+	+	X
ejpam-3426	288	81	r2	r2	PROPN
ejpam-3426	288	82	n)}u	n)}u	NUM
ejpam-3426	288	83	]	]	PUNCT
ejpam-3426	288	84	du	du	X
ejpam-3426	288	85	,	,	PUNCT
ejpam-3426	288	86	(	(	PUNCT
ejpam-3426	288	87	39	39	NUM
ejpam-3426	288	88	)	)	PUNCT
ejpam-3426	288	89	the	the	DET
ejpam-3426	288	90	shear	shear	NOUN
ejpam-3426	288	91	stresses	stress	VERB
ejpam-3426	288	92	for	for	ADP
ejpam-3426	288	93	mhd	mhd	PROPN
ejpam-3426	288	94	newtonian	newtonian	NOUN
ejpam-3426	288	95	with	with	ADP
ejpam-3426	288	96	porous	porous	ADJ
ejpam-3426	288	97	effect	effect	NOUN
ejpam-3426	288	98	.	.	PUNCT
ejpam-3426	289	1	3.5	3.5	NUM
ejpam-3426	289	2	.	.	PUNCT
ejpam-3426	289	3	newtonian	newtonian	NOUN
ejpam-3426	289	4	with	with	ADP
ejpam-3426	289	5	porous	porous	ADJ
ejpam-3426	289	6	effect	effect	NOUN
ejpam-3426	289	7	making	make	VERB
ejpam-3426	289	8	m	m	VERB
ejpam-3426	289	9	→	→	SYM
ejpam-3426	289	10	0	0	NUM
ejpam-3426	289	11	in	in	ADP
ejpam-3426	289	12	eqs	eqs	PROPN
ejpam-3426	289	13	.	.	PUNCT
ejpam-3426	290	1	(	(	PUNCT
ejpam-3426	290	2	36	36	NUM
ejpam-3426	290	3	)	)	PUNCT
ejpam-3426	290	4	,	,	PUNCT
ejpam-3426	290	5	(	(	PUNCT
ejpam-3426	290	6	37	37	NUM
ejpam-3426	290	7	)	)	PUNCT
ejpam-3426	290	8	,	,	PUNCT
ejpam-3426	290	9	(	(	PUNCT
ejpam-3426	290	10	38	38	NUM
ejpam-3426	290	11	)	)	PUNCT
ejpam-3426	290	12	and	and	CCONJ
ejpam-3426	290	13	(	(	PUNCT
ejpam-3426	290	14	39	39	NUM
ejpam-3426	290	15	)	)	PUNCT
ejpam-3426	290	16	,	,	PUNCT
ejpam-3426	290	17	we	we	PRON
ejpam-3426	290	18	get	get	VERB
ejpam-3426	290	19	solutions	solution	NOUN
ejpam-3426	290	20	for	for	ADP
ejpam-3426	290	21	newtonian	newtonian	ADJ
ejpam-3426	290	22	fuid	fuid	NOUN
ejpam-3426	290	23	with	with	ADP
ejpam-3426	290	24	porous	porous	ADJ
ejpam-3426	290	25	effect	effect	NOUN
ejpam-3426	290	26	and	and	CCONJ
ejpam-3426	290	27	without	without	ADP
ejpam-3426	290	28	mhd	mhd	PROPN
ejpam-3426	290	29	.	.	PROPN
ejpam-3426	290	30	3.6	3.6	NUM
ejpam-3426	290	31	.	.	PUNCT
ejpam-3426	291	1	mhd	mhd	PROPN
ejpam-3426	291	2	newtonian	newtonian	PROPN
ejpam-3426	291	3	similarly	similarly	ADV
ejpam-3426	291	4	,	,	PUNCT
ejpam-3426	291	5	putting	put	VERB
ejpam-3426	291	6	m	m	PRON
ejpam-3426	291	7	→	→	SYM
ejpam-3426	291	8	0	0	NUM
ejpam-3426	291	9	in	in	ADP
ejpam-3426	291	10	eqs	eqs	PROPN
ejpam-3426	291	11	.	.	PUNCT
ejpam-3426	292	1	(	(	PUNCT
ejpam-3426	292	2	36	36	NUM
ejpam-3426	292	3	)	)	PUNCT
ejpam-3426	292	4	,	,	PUNCT
ejpam-3426	292	5	(	(	PUNCT
ejpam-3426	292	6	37	37	NUM
ejpam-3426	292	7	)	)	PUNCT
ejpam-3426	292	8	,	,	PUNCT
ejpam-3426	292	9	(	(	PUNCT
ejpam-3426	292	10	38	38	NUM
ejpam-3426	292	11	)	)	PUNCT
ejpam-3426	292	12	and	and	CCONJ
ejpam-3426	292	13	(	(	PUNCT
ejpam-3426	292	14	39	39	NUM
ejpam-3426	292	15	)	)	PUNCT
ejpam-3426	292	16	,	,	PUNCT
ejpam-3426	292	17	we	we	PRON
ejpam-3426	292	18	get	get	VERB
ejpam-3426	292	19	solutions	solution	NOUN
ejpam-3426	292	20	for	for	ADP
ejpam-3426	292	21	mhd	mhd	NOUN
ejpam-3426	292	22	newtonian	newtonian	ADJ
ejpam-3426	292	23	fluid	fluid	NOUN
ejpam-3426	292	24	without	without	ADP
ejpam-3426	292	25	porous	porous	ADJ
ejpam-3426	292	26	effects	effect	NOUN
ejpam-3426	292	27	.	.	PUNCT
ejpam-3426	293	1	3.7	3.7	NUM
ejpam-3426	293	2	.	.	PUNCT
ejpam-3426	293	3	newtonian	newtonian	NOUN
ejpam-3426	293	4	by	by	ADP
ejpam-3426	293	5	vanishing	vanish	VERB
ejpam-3426	293	6	as	as	ADP
ejpam-3426	293	7	m→	m→	PROPN
ejpam-3426	293	8	0	0	NUM
ejpam-3426	293	9	&	&	CCONJ
ejpam-3426	293	10	φ→	φ→	PROPN
ejpam-3426	293	11	0	0	PUNCT
ejpam-3426	293	12	into	into	ADP
ejpam-3426	293	13	the	the	DET
ejpam-3426	293	14	eqs	eqs	PROPN
ejpam-3426	293	15	.	.	PUNCT
ejpam-3426	294	1	(	(	PUNCT
ejpam-3426	294	2	36	36	NUM
ejpam-3426	294	3	)	)	PUNCT
ejpam-3426	294	4	,	,	PUNCT
ejpam-3426	294	5	(	(	PUNCT
ejpam-3426	294	6	37	37	NUM
ejpam-3426	294	7	)	)	PUNCT
ejpam-3426	294	8	,	,	PUNCT
ejpam-3426	294	9	(	(	PUNCT
ejpam-3426	294	10	38	38	NUM
ejpam-3426	294	11	)	)	PUNCT
ejpam-3426	294	12	and	and	CCONJ
ejpam-3426	294	13	(	(	PUNCT
ejpam-3426	294	14	39	39	NUM
ejpam-3426	294	15	)	)	PUNCT
ejpam-3426	294	16	,	,	PUNCT
ejpam-3426	294	17	of	of	ADP
ejpam-3426	294	18	velocity	velocity	NOUN
ejpam-3426	294	19	field	field	NOUN
ejpam-3426	294	20	components	component	NOUN
ejpam-3426	294	21	and	and	CCONJ
ejpam-3426	294	22	shear	shear	NOUN
ejpam-3426	294	23	stresses	stress	NOUN
ejpam-3426	294	24	,	,	PUNCT
ejpam-3426	294	25	we	we	PRON
ejpam-3426	294	26	get	get	VERB
ejpam-3426	294	27	the	the	DET
ejpam-3426	294	28	newtonian	newtonian	ADJ
ejpam-3426	294	29	solutions	solution	NOUN
ejpam-3426	294	30	,	,	PUNCT
ejpam-3426	294	31	ω(r	ω(r	PROPN
ejpam-3426	294	32	,	,	PUNCT
ejpam-3426	294	33	t	t	PROPN
ejpam-3426	294	34	)	)	PUNCT
ejpam-3426	295	1	=	=	SYM
ejpam-3426	295	2	f1	f1	NOUN
ejpam-3426	295	3	2µ	2µ	NUM
ejpam-3426	295	4	(	(	PUNCT
ejpam-3426	295	5	r1	r1	PROPN
ejpam-3426	295	6	r2	r2	PROPN
ejpam-3426	295	7	)	)	PUNCT
ejpam-3426	295	8	2	2	NUM
ejpam-3426	295	9	(	(	PUNCT
ejpam-3426	295	10	r	r	NOUN
ejpam-3426	295	11	−	−	PROPN
ejpam-3426	295	12	r2	r2	NOUN
ejpam-3426	295	13	2	2	NUM
ejpam-3426	295	14	r	r	NOUN
ejpam-3426	295	15	)	)	PUNCT
ejpam-3426	295	16	tp	tp	ADP
ejpam-3426	295	17	−	−	PROPN
ejpam-3426	295	18	f1π	f1π	PROPN
ejpam-3426	295	19	µ	µ	PROPN
ejpam-3426	295	20	∞∑	∞∑	PROPN
ejpam-3426	295	21	m=1	m=1	PROPN
ejpam-3426	295	22	j2	j2	PROPN
ejpam-3426	295	23	1	1	NUM
ejpam-3426	295	24	(	(	PUNCT
ejpam-3426	295	25	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	295	26	)	)	PUNCT
ejpam-3426	295	27	rm[j2	rm[j2	PROPN
ejpam-3426	295	28	2	2	NUM
ejpam-3426	295	29	(	(	PUNCT
ejpam-3426	295	30	r1rm)−	r1rm)−	NOUN
ejpam-3426	295	31	j2	j2	NOUN
ejpam-3426	295	32	1	1	NUM
ejpam-3426	295	33	(	(	PUNCT
ejpam-3426	295	34	r2rm	r2rm	NOUN
ejpam-3426	295	35	)	)	PUNCT
ejpam-3426	295	36	]	]	PUNCT
ejpam-3426	296	1	∫	∫	PROPN
ejpam-3426	296	2	t	t	PROPN
ejpam-3426	296	3	0	0	NUM
ejpam-3426	297	1	(	(	PUNCT
ejpam-3426	297	2	t−	t−	PROPN
ejpam-3426	297	3	u)p−1	u)p−1	PROPN
ejpam-3426	297	4	×exp(−ϑr2	×exp(−ϑr2	NOUN
ejpam-3426	297	5	mu)du+	mu)du+	NOUN
ejpam-3426	297	6	f2r2π	f2r2π	NUM
ejpam-3426	297	7	2	2	NUM
ejpam-3426	297	8	2	2	NUM
ejpam-3426	297	9	∞∑	∞∑	PROPN
ejpam-3426	297	10	m=1	m=1	PROPN
ejpam-3426	297	11	r3	r3	PROPN
ejpam-3426	297	12	mj	mj	NOUN
ejpam-3426	297	13	2	2	NUM
ejpam-3426	297	14	1	1	NUM
ejpam-3426	297	15	(	(	PUNCT
ejpam-3426	297	16	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	297	17	)	)	PUNCT
ejpam-3426	297	18	dω(r1	dω(r1	NOUN
ejpam-3426	297	19	,	,	PUNCT
ejpam-3426	297	20	r2	r2	PROPN
ejpam-3426	297	21	,	,	PUNCT
ejpam-3426	297	22	rm	rm	PROPN
ejpam-3426	297	23	)	)	PUNCT
ejpam-3426	297	24	j2	j2	PROPN
ejpam-3426	297	25	2	2	NUM
ejpam-3426	297	26	(	(	PUNCT
ejpam-3426	297	27	r1rm)−	r1rm)−	NOUN
ejpam-3426	297	28	j2	j2	NOUN
ejpam-3426	297	29	1	1	NUM
ejpam-3426	297	30	(	(	PUNCT
ejpam-3426	297	31	r2rm	r2rm	NOUN
ejpam-3426	297	32	)	)	PUNCT
ejpam-3426	297	33	{	{	PUNCT
ejpam-3426	298	1	tp	tp	ADP
ejpam-3426	298	2	−	−	PROPN
ejpam-3426	299	1	∫	∫	PROPN
ejpam-3426	300	1	t	t	PROPN
ejpam-3426	300	2	0	0	NUM
ejpam-3426	300	3	(	(	PUNCT
ejpam-3426	300	4	t−	t−	X
ejpam-3426	300	5	u)p	u)p	X
ejpam-3426	300	6	[	[	PUNCT
ejpam-3426	300	7	ϑ(r2	ϑ(r2	NOUN
ejpam-3426	300	8	m	m	VERB
ejpam-3426	300	9	−	−	PROPN
ejpam-3426	300	10	1	1	NUM
ejpam-3426	300	11	)	)	PUNCT
ejpam-3426	300	12	+	+	CCONJ
ejpam-3426	300	13	p	p	ADJ
ejpam-3426	300	14	t−	t−	PROPN
ejpam-3426	300	15	u	u	NOUN
ejpam-3426	300	16	]	]	PUNCT
ejpam-3426	300	17	exp(−ϑ	exp(−ϑ	PROPN
ejpam-3426	300	18	r2	r2	PROPN
ejpam-3426	300	19	m	m	VERB
ejpam-3426	300	20	u	u	NOUN
ejpam-3426	300	21	)	)	PUNCT
ejpam-3426	300	22	du	du	X
ejpam-3426	300	23	}	}	PUNCT
ejpam-3426	300	24	,	,	PUNCT
ejpam-3426	300	25	(	(	PUNCT
ejpam-3426	300	26	40	40	NUM
ejpam-3426	300	27	)	)	PUNCT
ejpam-3426	300	28	m.	m.	NOUN
ejpam-3426	300	29	jamil	jamil	PROPN
ejpam-3426	300	30	,	,	PUNCT
ejpam-3426	300	31	m.	m.	NOUN
ejpam-3426	300	32	zafarullah	zafarullah	PROPN
ejpam-3426	300	33	/	/	SYM
ejpam-3426	300	34	eur	eur	PROPN
ejpam-3426	300	35	.	.	PUNCT
ejpam-3426	301	1	j.	j.	PROPN
ejpam-3426	301	2	pure	pure	PROPN
ejpam-3426	301	3	appl	appl	PROPN
ejpam-3426	301	4	.	.	PROPN
ejpam-3426	301	5	math	math	PROPN
ejpam-3426	301	6	,	,	PUNCT
ejpam-3426	301	7	12	12	NUM
ejpam-3426	301	8	(	(	PUNCT
ejpam-3426	301	9	3	3	NUM
ejpam-3426	301	10	)	)	PUNCT
ejpam-3426	301	11	(	(	PUNCT
ejpam-3426	301	12	2019	2019	NUM
ejpam-3426	301	13	)	)	PUNCT
ejpam-3426	301	14	,	,	PUNCT
ejpam-3426	301	15	1149	1149	NUM
ejpam-3426	301	16	-	-	SYM
ejpam-3426	301	17	1175	1175	NUM
ejpam-3426	301	18	1162	1162	NUM
ejpam-3426	301	19	v(r	v(r	NOUN
ejpam-3426	301	20	,	,	PUNCT
ejpam-3426	301	21	q	q	X
ejpam-3426	301	22	)	)	PUNCT
ejpam-3426	301	23	=	=	PUNCT
ejpam-3426	301	24	g1	g1	PROPN
ejpam-3426	301	25	2µ	2µ	NUM
ejpam-3426	301	26	r1	r1	PROPN
ejpam-3426	301	27	ln	ln	ADV
ejpam-3426	302	1	(	(	PUNCT
ejpam-3426	302	2	r	r	NOUN
ejpam-3426	302	3	r2	r2	PROPN
ejpam-3426	302	4	)	)	PUNCT
ejpam-3426	303	1	tp	tp	ADP
ejpam-3426	303	2	−	−	PROPN
ejpam-3426	303	3	g1p	g1p	VERB
ejpam-3426	303	4	µ	µ	NOUN
ejpam-3426	303	5	∞∑	∞∑	NUM
ejpam-3426	303	6	n=1	n=1	PROPN
ejpam-3426	303	7	j2	j2	PROPN
ejpam-3426	303	8	0	0	NUM
ejpam-3426	303	9	(	(	PUNCT
ejpam-3426	303	10	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	303	11	)	)	PUNCT
ejpam-3426	303	12	rn[j2	rn[j2	PROPN
ejpam-3426	303	13	1	1	NUM
ejpam-3426	303	14	(	(	PUNCT
ejpam-3426	303	15	r1rn)−	r1rn)−	NOUN
ejpam-3426	303	16	j2	j2	PROPN
ejpam-3426	303	17	0	0	NUM
ejpam-3426	303	18	(	(	PUNCT
ejpam-3426	303	19	r2rn	r2rn	NOUN
ejpam-3426	303	20	)	)	PUNCT
ejpam-3426	303	21	]	]	PUNCT
ejpam-3426	304	1	∫	∫	PROPN
ejpam-3426	304	2	t	t	PROPN
ejpam-3426	304	3	0	0	NUM
ejpam-3426	305	1	(	(	PUNCT
ejpam-3426	305	2	t−	t−	PROPN
ejpam-3426	305	3	u)p−1	u)p−1	NOUN
ejpam-3426	305	4	×exp(−ϑ	×exp(−ϑ	NOUN
ejpam-3426	305	5	r2	r2	PROPN
ejpam-3426	305	6	n	n	CCONJ
ejpam-3426	305	7	u	u	NOUN
ejpam-3426	305	8	)	)	PUNCT
ejpam-3426	305	9	du+	du+	NOUN
ejpam-3426	305	10	g2r2π	g2r2π	NOUN
ejpam-3426	305	11	2	2	NUM
ejpam-3426	305	12	∞∑	∞∑	NUM
ejpam-3426	305	13	n=1	n=1	PROPN
ejpam-3426	305	14	r3	r3	PROPN
ejpam-3426	305	15	nj	nj	PROPN
ejpam-3426	305	16	2	2	NUM
ejpam-3426	305	17	0	0	NUM
ejpam-3426	305	18	(	(	PUNCT
ejpam-3426	305	19	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	305	20	)	)	PUNCT
ejpam-3426	305	21	dv(r1	dv(r1	NOUN
ejpam-3426	305	22	,	,	PUNCT
ejpam-3426	305	23	r2	r2	PROPN
ejpam-3426	305	24	,	,	PUNCT
ejpam-3426	305	25	rn	rn	PROPN
ejpam-3426	305	26	)	)	PUNCT
ejpam-3426	305	27	j2	j2	NOUN
ejpam-3426	305	28	1	1	NUM
ejpam-3426	305	29	(	(	PUNCT
ejpam-3426	305	30	r1rn)−	r1rn)−	NOUN
ejpam-3426	305	31	j2	j2	PROPN
ejpam-3426	305	32	0	0	NUM
ejpam-3426	305	33	(	(	PUNCT
ejpam-3426	305	34	r2rn	r2rn	NOUN
ejpam-3426	305	35	)	)	PUNCT
ejpam-3426	305	36	{	{	PUNCT
ejpam-3426	305	37	tp	tp	ADP
ejpam-3426	305	38	−	−	PROPN
ejpam-3426	305	39	∫	∫	PROPN
ejpam-3426	305	40	t	t	PROPN
ejpam-3426	305	41	0	0	NUM
ejpam-3426	305	42	(	(	PUNCT
ejpam-3426	305	43	t−	t−	X
ejpam-3426	305	44	u)p	u)p	X
ejpam-3426	305	45	[	[	PUNCT
ejpam-3426	305	46	ϑ(r2	ϑ(r2	NOUN
ejpam-3426	305	47	n	n	CCONJ
ejpam-3426	305	48	−	−	PROPN
ejpam-3426	305	49	1	1	NUM
ejpam-3426	305	50	)	)	PUNCT
ejpam-3426	305	51	+	+	CCONJ
ejpam-3426	305	52	p	p	ADJ
ejpam-3426	305	53	t−	t−	PROPN
ejpam-3426	305	54	u	u	NOUN
ejpam-3426	305	55	]	]	X
ejpam-3426	305	56	exp(−ϑ	exp(−ϑ	PROPN
ejpam-3426	305	57	r2	r2	PROPN
ejpam-3426	305	58	n	n	ADP
ejpam-3426	305	59	u	u	NOUN
ejpam-3426	305	60	)	)	PUNCT
ejpam-3426	305	61	du	du	PROPN
ejpam-3426	305	62	}	}	PUNCT
ejpam-3426	305	63	,	,	PUNCT
ejpam-3426	305	64	(	(	PUNCT
ejpam-3426	305	65	41	41	NUM
ejpam-3426	305	66	)	)	PUNCT
ejpam-3426	305	67	τω(r1	τω(r1	NUM
ejpam-3426	305	68	,	,	PUNCT
ejpam-3426	305	69	t	t	PROPN
ejpam-3426	305	70	)	)	PUNCT
ejpam-3426	305	71	=	=	SYM
ejpam-3426	305	72	f1	f1	NOUN
ejpam-3426	305	73	(	(	PUNCT
ejpam-3426	305	74	r1	r1	PROPN
ejpam-3426	305	75	r	r	NOUN
ejpam-3426	305	76	)	)	PUNCT
ejpam-3426	305	77	tp	tp	ADP
ejpam-3426	305	78	+	+	CCONJ
ejpam-3426	305	79	f1π	f1π	PROPN
ejpam-3426	305	80	∞∑	∞∑	PROPN
ejpam-3426	305	81	m=1	m=1	PROPN
ejpam-3426	305	82	j2	j2	PROPN
ejpam-3426	305	83	1	1	NUM
ejpam-3426	305	84	(	(	PUNCT
ejpam-3426	305	85	r2	r2	PROPN
ejpam-3426	305	86	rm	rm	PROPN
ejpam-3426	305	87	)	)	PUNCT
ejpam-3426	305	88	bω(r	bω(r	NUM
ejpam-3426	305	89	rm	rm	PROPN
ejpam-3426	305	90	)	)	PUNCT
ejpam-3426	305	91	j2	j2	PROPN
ejpam-3426	305	92	2	2	NUM
ejpam-3426	305	93	(	(	PUNCT
ejpam-3426	305	94	r1	r1	PROPN
ejpam-3426	305	95	rm)−	rm)−	PROPN
ejpam-3426	305	96	j2	j2	PROPN
ejpam-3426	305	97	1	1	NUM
ejpam-3426	305	98	(	(	PUNCT
ejpam-3426	305	99	r2	r2	PROPN
ejpam-3426	305	100	rm	rm	PROPN
ejpam-3426	305	101	)	)	PUNCT
ejpam-3426	306	1	∫	∫	PROPN
ejpam-3426	307	1	t	t	PROPN
ejpam-3426	307	2	0	0	NUM
ejpam-3426	307	3	(	(	PUNCT
ejpam-3426	307	4	t−	t−	PROPN
ejpam-3426	307	5	u)p	u)p	NOUN
ejpam-3426	307	6	(	(	PUNCT
ejpam-3426	307	7	p	p	X
ejpam-3426	307	8	t−	t−	PROPN
ejpam-3426	307	9	u	u	NOUN
ejpam-3426	307	10	)	)	PUNCT
ejpam-3426	307	11	×exp(−ϑr2	×exp(−ϑr2	AUX
ejpam-3426	307	12	mu)du−	mu)du−	VERB
ejpam-3426	307	13	f2	f2	PROPN
ejpam-3426	307	14	π2	π2	PROPN
ejpam-3426	307	15	ρr2ϑ	ρr2ϑ	PROPN
ejpam-3426	307	16	2	2	NUM
ejpam-3426	307	17	2	2	NUM
ejpam-3426	307	18	∞∑	∞∑	PROPN
ejpam-3426	307	19	m=1	m=1	PROPN
ejpam-3426	307	20	r4	r4	PROPN
ejpam-3426	307	21	m	m	PROPN
ejpam-3426	307	22	j	j	NOUN
ejpam-3426	307	23	2	2	NUM
ejpam-3426	307	24	1	1	NUM
ejpam-3426	307	25	(	(	PUNCT
ejpam-3426	307	26	r2	r2	PROPN
ejpam-3426	307	27	rm	rm	PROPN
ejpam-3426	307	28	)	)	PUNCT
ejpam-3426	307	29	bω(r	bω(r	NUM
ejpam-3426	307	30	rn	rn	PROPN
ejpam-3426	307	31	)	)	PUNCT
ejpam-3426	307	32	dω(r1	dω(r1	NOUN
ejpam-3426	307	33	,	,	PUNCT
ejpam-3426	307	34	r2	r2	PROPN
ejpam-3426	307	35	,	,	PUNCT
ejpam-3426	307	36	rm	rm	PROPN
ejpam-3426	307	37	)	)	PUNCT
ejpam-3426	307	38	j2	j2	PROPN
ejpam-3426	307	39	2	2	NUM
ejpam-3426	307	40	(	(	PUNCT
ejpam-3426	307	41	r1	r1	PROPN
ejpam-3426	307	42	rn)−	rn)−	NOUN
ejpam-3426	307	43	j2	j2	NOUN
ejpam-3426	307	44	1	1	NUM
ejpam-3426	307	45	(	(	PUNCT
ejpam-3426	307	46	r2	r2	PROPN
ejpam-3426	307	47	rm	rm	PROPN
ejpam-3426	307	48	)	)	PUNCT
ejpam-3426	307	49	×	×	NOUN
ejpam-3426	307	50	∫	∫	PROPN
ejpam-3426	307	51	t	t	PROPN
ejpam-3426	307	52	0	0	NUM
ejpam-3426	308	1	(	(	PUNCT
ejpam-3426	308	2	t−	t−	X
ejpam-3426	308	3	u)p	u)p	NOUN
ejpam-3426	308	4	exp(−ϑr2	exp(−ϑr2	X
ejpam-3426	309	1	mu)du	mu)du	PROPN
ejpam-3426	309	2	,	,	PUNCT
ejpam-3426	309	3	(	(	PUNCT
ejpam-3426	309	4	42	42	NUM
ejpam-3426	309	5	)	)	PUNCT
ejpam-3426	309	6	τv(r1	τv(r1	PROPN
ejpam-3426	309	7	,	,	PUNCT
ejpam-3426	309	8	t	t	NOUN
ejpam-3426	309	9	)	)	PUNCT
ejpam-3426	309	10	=	=	SYM
ejpam-3426	309	11	g1	g1	PROPN
ejpam-3426	309	12	(	(	PUNCT
ejpam-3426	309	13	r1	r1	PROPN
ejpam-3426	309	14	r	r	NOUN
ejpam-3426	309	15	)	)	PUNCT
ejpam-3426	309	16	tp	tp	ADP
ejpam-3426	309	17	+	+	CCONJ
ejpam-3426	309	18	g1π	g1π	PROPN
ejpam-3426	309	19	∞∑	∞∑	NUM
ejpam-3426	309	20	n=1	n=1	PROPN
ejpam-3426	309	21	j2	j2	PROPN
ejpam-3426	309	22	0	0	NUM
ejpam-3426	309	23	(	(	PUNCT
ejpam-3426	309	24	r2	r2	PROPN
ejpam-3426	309	25	rn	rn	PROPN
ejpam-3426	309	26	)	)	PUNCT
ejpam-3426	309	27	bv(r	bv(r	PUNCT
ejpam-3426	309	28	rn	rn	PROPN
ejpam-3426	309	29	)	)	PUNCT
ejpam-3426	309	30	j2	j2	PROPN
ejpam-3426	309	31	1	1	NUM
ejpam-3426	309	32	(	(	PUNCT
ejpam-3426	309	33	r1	r1	PROPN
ejpam-3426	309	34	rn)−	rn)−	NOUN
ejpam-3426	309	35	j2	j2	NOUN
ejpam-3426	309	36	0	0	NUM
ejpam-3426	309	37	(	(	PUNCT
ejpam-3426	309	38	r2	r2	PROPN
ejpam-3426	309	39	rn	rn	PROPN
ejpam-3426	309	40	)	)	PUNCT
ejpam-3426	309	41	∫	∫	PROPN
ejpam-3426	310	1	t	t	PROPN
ejpam-3426	310	2	0	0	NUM
ejpam-3426	310	3	(	(	PUNCT
ejpam-3426	310	4	t−	t−	PROPN
ejpam-3426	310	5	u)p	u)p	NOUN
ejpam-3426	310	6	(	(	PUNCT
ejpam-3426	310	7	p	p	X
ejpam-3426	310	8	t−	t−	PROPN
ejpam-3426	310	9	u	u	NOUN
ejpam-3426	310	10	)	)	PUNCT
ejpam-3426	310	11	×exp(−ϑr2	×exp(−ϑr2	X
ejpam-3426	311	1	nu)du−	nu)du−	PROPN
ejpam-3426	311	2	g2	g2	PROPN
ejpam-3426	311	3	π2	π2	PROPN
ejpam-3426	311	4	ρr2ϑ	ρr2ϑ	PROPN
ejpam-3426	311	5	2	2	NUM
ejpam-3426	311	6	2	2	NUM
ejpam-3426	311	7	∞∑	∞∑	NUM
ejpam-3426	311	8	n=1	n=1	PROPN
ejpam-3426	311	9	r4	r4	VERB
ejpam-3426	311	10	n	n	PROPN
ejpam-3426	311	11	j	j	PROPN
ejpam-3426	311	12	2	2	NUM
ejpam-3426	311	13	0	0	NUM
ejpam-3426	311	14	(	(	PUNCT
ejpam-3426	311	15	r2	r2	PROPN
ejpam-3426	311	16	rn	rn	PROPN
ejpam-3426	311	17	)	)	PUNCT
ejpam-3426	311	18	bv(r	bv(r	PUNCT
ejpam-3426	311	19	rn)dv(r1	rn)dv(r1	PROPN
ejpam-3426	311	20	,	,	PUNCT
ejpam-3426	311	21	r2	r2	PROPN
ejpam-3426	311	22	,	,	PUNCT
ejpam-3426	311	23	rn	rn	PROPN
ejpam-3426	311	24	)	)	PUNCT
ejpam-3426	311	25	j2	j2	NOUN
ejpam-3426	311	26	1	1	NUM
ejpam-3426	311	27	(	(	PUNCT
ejpam-3426	311	28	r1	r1	PROPN
ejpam-3426	311	29	rn)−	rn)−	NOUN
ejpam-3426	311	30	j2	j2	NOUN
ejpam-3426	311	31	0	0	NUM
ejpam-3426	311	32	(	(	PUNCT
ejpam-3426	311	33	r2	r2	PROPN
ejpam-3426	311	34	rn	rn	PROPN
ejpam-3426	311	35	)	)	PUNCT
ejpam-3426	311	36	×	×	NOUN
ejpam-3426	311	37	∫	∫	PROPN
ejpam-3426	311	38	t	t	PROPN
ejpam-3426	311	39	0	0	NUM
ejpam-3426	311	40	(	(	PUNCT
ejpam-3426	311	41	t−	t−	X
ejpam-3426	311	42	u)p	u)p	NOUN
ejpam-3426	311	43	exp(−ϑr2	exp(−ϑr2	X
ejpam-3426	312	1	nu)du	nu)du	PROPN
ejpam-3426	312	2	.	.	PUNCT
ejpam-3426	313	1	(	(	PUNCT
ejpam-3426	313	2	43	43	NUM
ejpam-3426	313	3	)	)	PUNCT
ejpam-3426	313	4	m.	m.	NOUN
ejpam-3426	313	5	jamil	jamil	PROPN
ejpam-3426	313	6	,	,	PUNCT
ejpam-3426	313	7	m.	m.	NOUN
ejpam-3426	313	8	zafarullah	zafarullah	PROPN
ejpam-3426	313	9	/	/	SYM
ejpam-3426	313	10	eur	eur	PROPN
ejpam-3426	313	11	.	.	PUNCT
ejpam-3426	314	1	j.	j.	PROPN
ejpam-3426	314	2	pure	pure	PROPN
ejpam-3426	314	3	appl	appl	PROPN
ejpam-3426	314	4	.	.	PROPN
ejpam-3426	314	5	math	math	PROPN
ejpam-3426	314	6	,	,	PUNCT
ejpam-3426	314	7	12	12	NUM
ejpam-3426	314	8	(	(	PUNCT
ejpam-3426	314	9	3	3	NUM
ejpam-3426	314	10	)	)	PUNCT
ejpam-3426	314	11	(	(	PUNCT
ejpam-3426	314	12	2019	2019	NUM
ejpam-3426	314	13	)	)	PUNCT
ejpam-3426	314	14	,	,	PUNCT
ejpam-3426	314	15	1149	1149	NUM
ejpam-3426	314	16	-	-	SYM
ejpam-3426	314	17	1175	1175	NUM
ejpam-3426	314	18	1163	1163	NUM
ejpam-3426	314	19	3.8	3.8	NUM
ejpam-3426	314	20	.	.	PUNCT
ejpam-3426	315	1	the	the	DET
ejpam-3426	315	2	special	special	ADJ
ejpam-3426	315	3	solution	solution	NOUN
ejpam-3426	315	4	for	for	ADP
ejpam-3426	315	5	p	p	NOUN
ejpam-3426	315	6	=	=	NOUN
ejpam-3426	315	7	1	1	NUM
ejpam-3426	315	8	finally	finally	ADV
ejpam-3426	315	9	,	,	PUNCT
ejpam-3426	315	10	switch	switch	VERB
ejpam-3426	315	11	p	p	NOUN
ejpam-3426	315	12	=	=	NOUN
ejpam-3426	315	13	1	1	NUM
ejpam-3426	315	14	into	into	ADP
ejpam-3426	315	15	the	the	DET
ejpam-3426	315	16	resultant	resultant	NOUN
ejpam-3426	315	17	equations	equation	NOUN
ejpam-3426	315	18	of	of	ADP
ejpam-3426	315	19	velocity	velocity	NOUN
ejpam-3426	315	20	field	field	NOUN
ejpam-3426	315	21	components	component	NOUN
ejpam-3426	315	22	as	as	ADV
ejpam-3426	315	23	well	well	ADV
ejpam-3426	315	24	as	as	ADP
ejpam-3426	315	25	shear	shear	NOUN
ejpam-3426	315	26	stress	stress	NOUN
ejpam-3426	315	27	(	(	PUNCT
ejpam-3426	315	28	26	26	NUM
ejpam-3426	315	29	)	)	PUNCT
ejpam-3426	315	30	,	,	PUNCT
ejpam-3426	315	31	(	(	PUNCT
ejpam-3426	315	32	27	27	NUM
ejpam-3426	315	33	)	)	PUNCT
ejpam-3426	315	34	,	,	PUNCT
ejpam-3426	315	35	(	(	PUNCT
ejpam-3426	315	36	34	34	NUM
ejpam-3426	315	37	)	)	PUNCT
ejpam-3426	315	38	and	and	CCONJ
ejpam-3426	315	39	(	(	PUNCT
ejpam-3426	315	40	35	35	NUM
ejpam-3426	315	41	)	)	PUNCT
ejpam-3426	315	42	,	,	PUNCT
ejpam-3426	315	43	we	we	PRON
ejpam-3426	315	44	get	get	VERB
ejpam-3426	315	45	longitudinal	longitudinal	ADJ
ejpam-3426	315	46	and	and	CCONJ
ejpam-3426	315	47	rotational	rotational	ADJ
ejpam-3426	315	48	cases	case	NOUN
ejpam-3426	315	49	result	result	VERB
ejpam-3426	315	50	by	by	ADP
ejpam-3426	315	51	solving	solve	VERB
ejpam-3426	315	52	the	the	DET
ejpam-3426	315	53	integral	integral	ADJ
ejpam-3426	315	54	from	from	ADP
ejpam-3426	315	55	0	0	NUM
ejpam-3426	315	56	to	to	ADP
ejpam-3426	315	57	t	t	PROPN
ejpam-3426	315	58	ω(r	ω(r	PROPN
ejpam-3426	315	59	,	,	PUNCT
ejpam-3426	315	60	t	t	PROPN
ejpam-3426	315	61	)	)	PUNCT
ejpam-3426	316	1	=	=	SYM
ejpam-3426	316	2	f1	f1	NOUN
ejpam-3426	316	3	2µ	2µ	NUM
ejpam-3426	316	4	(	(	PUNCT
ejpam-3426	316	5	r1	r1	PROPN
ejpam-3426	316	6	r2	r2	PROPN
ejpam-3426	316	7	)	)	PUNCT
ejpam-3426	316	8	2	2	NUM
ejpam-3426	316	9	(	(	PUNCT
ejpam-3426	316	10	r	r	NOUN
ejpam-3426	316	11	−	−	PROPN
ejpam-3426	316	12	r2	r2	NOUN
ejpam-3426	316	13	2	2	NUM
ejpam-3426	316	14	r	r	NOUN
ejpam-3426	316	15	)	)	PUNCT
ejpam-3426	316	16	t−	t−	PROPN
ejpam-3426	316	17	f1[m	f1[m	NOUN
ejpam-3426	316	18	+	+	CCONJ
ejpam-3426	316	19	ϑ	ϑ	X
ejpam-3426	316	20	(	(	PUNCT
ejpam-3426	316	21	φ	φ	PROPN
ejpam-3426	316	22	+	+	X
ejpam-3426	316	23	r2	r2	PROPN
ejpam-3426	316	24	m	m	PROPN
ejpam-3426	316	25	)	)	PUNCT
ejpam-3426	316	26	]	]	PUNCT
ejpam-3426	317	1	µ[1	µ[1	PROPN
ejpam-3426	317	2	+	+	CCONJ
ejpam-3426	317	3	α	α	PROPN
ejpam-3426	317	4	(	(	PUNCT
ejpam-3426	317	5	φ	φ	PROPN
ejpam-3426	317	6	+	+	CCONJ
ejpam-3426	317	7	r2	r2	PROPN
ejpam-3426	317	8	m)]3	m)]3	NOUN
ejpam-3426	317	9	∞∑	∞∑	PROPN
ejpam-3426	317	10	m=1	m=1	PROPN
ejpam-3426	317	11	j2	j2	PROPN
ejpam-3426	317	12	1	1	NUM
ejpam-3426	317	13	(	(	PUNCT
ejpam-3426	317	14	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	317	15	)	)	PUNCT
ejpam-3426	317	16	rm[j2	rm[j2	PROPN
ejpam-3426	317	17	2	2	NUM
ejpam-3426	317	18	(	(	PUNCT
ejpam-3426	317	19	r1rm)−	r1rm)−	NOUN
ejpam-3426	317	20	j2	j2	NOUN
ejpam-3426	317	21	1	1	NUM
ejpam-3426	317	22	(	(	PUNCT
ejpam-3426	317	23	r2rm	r2rm	NOUN
ejpam-3426	317	24	)	)	PUNCT
ejpam-3426	317	25	]	]	PUNCT
ejpam-3426	317	26	×	×	NOUN
ejpam-3426	317	27	[	[	PUNCT
ejpam-3426	317	28	ϑr2	ϑr2	NOUN
ejpam-3426	317	29	m[1	m[1	PROPN
ejpam-3426	318	1	+	+	CCONJ
ejpam-3426	318	2	α	α	PROPN
ejpam-3426	318	3	(	(	PUNCT
ejpam-3426	318	4	φ	φ	PROPN
ejpam-3426	318	5	+	+	CCONJ
ejpam-3426	318	6	r2	r2	PROPN
ejpam-3426	318	7	m	m	PROPN
ejpam-3426	318	8	)	)	PUNCT
ejpam-3426	318	9	]	]	PUNCT
ejpam-3426	319	1	(	(	PUNCT
ejpam-3426	319	2	1−exp	1−exp	NUM
ejpam-3426	319	3	[	[	PUNCT
ejpam-3426	319	4	−	−	PROPN
ejpam-3426	319	5	m	m	PROPN
ejpam-3426	319	6	+	+	X
ejpam-3426	319	7	ϑ	ϑ	X
ejpam-3426	319	8	(	(	PUNCT
ejpam-3426	319	9	φ	φ	PROPN
ejpam-3426	319	10	+	+	X
ejpam-3426	319	11	r2	r2	PROPN
ejpam-3426	319	12	m	m	PROPN
ejpam-3426	319	13	)	)	PUNCT
ejpam-3426	319	14	1	1	NUM
ejpam-3426	320	1	+	+	NUM
ejpam-3426	320	2	α	α	PROPN
ejpam-3426	320	3	(	(	PUNCT
ejpam-3426	320	4	φ	φ	PROPN
ejpam-3426	320	5	+	+	CCONJ
ejpam-3426	320	6	r2	r2	PROPN
ejpam-3426	320	7	m	m	PROPN
ejpam-3426	320	8	)	)	PUNCT
ejpam-3426	320	9	]	]	PUNCT
ejpam-3426	320	10	)	)	PUNCT
ejpam-3426	321	1	+	+	CCONJ
ejpam-3426	321	2	t[m(m	t[m(m	NOUN
ejpam-3426	321	3	+	+	SYM
ejpam-3426	321	4	ϑ(2φ	ϑ(2φ	NUM
ejpam-3426	321	5	+	+	CCONJ
ejpam-3426	321	6	r2	r2	PROPN
ejpam-3426	321	7	m	m	PROPN
ejpam-3426	321	8	)	)	PUNCT
ejpam-3426	321	9	)	)	PUNCT
ejpam-3426	322	1	+	+	CCONJ
ejpam-3426	322	2	φϑ2(φ	φϑ2(φ	NOUN
ejpam-3426	322	3	+	+	NUM
ejpam-3426	322	4	r2	r2	PROPN
ejpam-3426	322	5	m	m	PROPN
ejpam-3426	322	6	)	)	PUNCT
ejpam-3426	322	7	]	]	PUNCT
ejpam-3426	322	8	]	]	PUNCT
ejpam-3426	323	1	+	+	CCONJ
ejpam-3426	323	2	f2r2π	f2r2π	NUM
ejpam-3426	323	3	2[1	2[1	NUM
ejpam-3426	323	4	+	+	CCONJ
ejpam-3426	323	5	α(φ	α(φ	PROPN
ejpam-3426	323	6	+	+	NUM
ejpam-3426	323	7	r2	r2	PROPN
ejpam-3426	323	8	m	m	PROPN
ejpam-3426	323	9	)	)	PUNCT
ejpam-3426	323	10	]	]	PUNCT
ejpam-3426	324	1	∞∑	∞∑	PROPN
ejpam-3426	324	2	m=1	m=1	PROPN
ejpam-3426	324	3	r3	r3	PROPN
ejpam-3426	324	4	mj	mj	NOUN
ejpam-3426	324	5	2	2	NUM
ejpam-3426	324	6	1	1	NUM
ejpam-3426	324	7	(	(	PUNCT
ejpam-3426	324	8	r2rm)bw(rrm	r2rm)bw(rrm	NOUN
ejpam-3426	324	9	)	)	PUNCT
ejpam-3426	324	10	dω(r1	dω(r1	NOUN
ejpam-3426	324	11	,	,	PUNCT
ejpam-3426	324	12	r2	r2	PROPN
ejpam-3426	324	13	,	,	PUNCT
ejpam-3426	324	14	rm	rm	PROPN
ejpam-3426	324	15	)	)	PUNCT
ejpam-3426	324	16	j2	j2	PROPN
ejpam-3426	324	17	2	2	NUM
ejpam-3426	324	18	(	(	PUNCT
ejpam-3426	324	19	r1rm)−	r1rm)−	NOUN
ejpam-3426	324	20	j2	j2	NOUN
ejpam-3426	324	21	1	1	NUM
ejpam-3426	324	22	(	(	PUNCT
ejpam-3426	324	23	r2rm	r2rm	X
ejpam-3426	324	24	)	)	PUNCT
ejpam-3426	324	25	{	{	PUNCT
ejpam-3426	324	26	t−	t−	PROPN
ejpam-3426	324	27	1	1	NUM
ejpam-3426	325	1	[	[	X
ejpam-3426	325	2	m	m	X
ejpam-3426	325	3	+	+	X
ejpam-3426	325	4	ϑ	ϑ	X
ejpam-3426	325	5	(	(	PUNCT
ejpam-3426	325	6	φ	φ	PROPN
ejpam-3426	325	7	+	+	PROPN
ejpam-3426	325	8	r2	r2	PROPN
ejpam-3426	325	9	m)]2	m)]2	PROPN
ejpam-3426	325	10	[	[	PUNCT
ejpam-3426	325	11	ϑ	ϑ	NOUN
ejpam-3426	325	12	−α[m	−α[m	PROPN
ejpam-3426	325	13	+	+	NUM
ejpam-3426	325	14	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	325	15	+	+	CCONJ
ejpam-3426	325	16	r2	r2	PROPN
ejpam-3426	325	17	m	m	PROPN
ejpam-3426	325	18	−	−	PROPN
ejpam-3426	325	19	1)]−	1)]−	NUM
ejpam-3426	325	20	tϑ[m	tϑ[m	PROPN
ejpam-3426	325	21	+	+	PUNCT
ejpam-3426	325	22	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	325	23	+	+	CCONJ
ejpam-3426	325	24	r2	r2	NOUN
ejpam-3426	325	25	m)(φ	m)(φ	PROPN
ejpam-3426	325	26	+	+	CCONJ
ejpam-3426	325	27	r2	r2	PROPN
ejpam-3426	325	28	m	m	VERB
ejpam-3426	325	29	−	−	PROPN
ejpam-3426	325	30	1	1	NUM
ejpam-3426	325	31	)	)	PUNCT
ejpam-3426	325	32	]	]	PUNCT
ejpam-3426	326	1	]	]	X
ejpam-3426	326	2	(	(	PUNCT
ejpam-3426	326	3	1−exp	1−exp	NUM
ejpam-3426	326	4	[	[	PUNCT
ejpam-3426	326	5	−	−	PROPN
ejpam-3426	326	6	m	m	PROPN
ejpam-3426	326	7	+	+	X
ejpam-3426	326	8	ϑ	ϑ	X
ejpam-3426	326	9	(	(	PUNCT
ejpam-3426	326	10	φ	φ	PROPN
ejpam-3426	326	11	+	+	X
ejpam-3426	326	12	r2	r2	PROPN
ejpam-3426	326	13	m	m	PROPN
ejpam-3426	326	14	)	)	PUNCT
ejpam-3426	326	15	1	1	NUM
ejpam-3426	327	1	+	+	NUM
ejpam-3426	327	2	α	α	PROPN
ejpam-3426	327	3	(	(	PUNCT
ejpam-3426	327	4	φ	φ	PROPN
ejpam-3426	327	5	+	+	CCONJ
ejpam-3426	327	6	r2	r2	PROPN
ejpam-3426	327	7	m	m	PROPN
ejpam-3426	327	8	)	)	PUNCT
ejpam-3426	327	9	]	]	PUNCT
ejpam-3426	327	10	)	)	PUNCT
ejpam-3426	328	1	+	+	NOUN
ejpam-3426	328	2	t	t	X
ejpam-3426	328	3	[	[	PUNCT
ejpam-3426	328	4	m2	m2	PROPN
ejpam-3426	328	5	+	+	CCONJ
ejpam-3426	328	6	ϑ2(φ	ϑ2(φ	PROPN
ejpam-3426	328	7	+	+	NUM
ejpam-3426	328	8	r2	r2	NOUN
ejpam-3426	328	9	m)(φ	m)(φ	NOUN
ejpam-3426	328	10	+	+	CCONJ
ejpam-3426	328	11	r2	r2	PROPN
ejpam-3426	328	12	m	m	NOUN
ejpam-3426	328	13	−	−	PROPN
ejpam-3426	328	14	1)exp	1)exp	NUM
ejpam-3426	328	15	[	[	PUNCT
ejpam-3426	328	16	−	−	PROPN
ejpam-3426	328	17	m	m	PROPN
ejpam-3426	328	18	+	+	X
ejpam-3426	328	19	ϑ	ϑ	X
ejpam-3426	328	20	(	(	PUNCT
ejpam-3426	328	21	φ	φ	PROPN
ejpam-3426	328	22	+	+	X
ejpam-3426	328	23	r2	r2	PROPN
ejpam-3426	328	24	m	m	PROPN
ejpam-3426	328	25	)	)	PUNCT
ejpam-3426	328	26	1	1	NUM
ejpam-3426	328	27	+	+	NUM
ejpam-3426	328	28	α	α	PROPN
ejpam-3426	328	29	(	(	PUNCT
ejpam-3426	328	30	φ	φ	PROPN
ejpam-3426	328	31	+	+	CCONJ
ejpam-3426	328	32	r2	r2	PROPN
ejpam-3426	328	33	m	m	PROPN
ejpam-3426	328	34	)	)	PUNCT
ejpam-3426	328	35	]	]	PUNCT
ejpam-3426	328	36	]	]	X
ejpam-3426	328	37	}	}	PUNCT
ejpam-3426	328	38	,	,	PUNCT
ejpam-3426	328	39	(	(	PUNCT
ejpam-3426	328	40	44	44	NUM
ejpam-3426	328	41	)	)	PUNCT
ejpam-3426	328	42	v(r	v(r	NOUN
ejpam-3426	328	43	,	,	PUNCT
ejpam-3426	328	44	q	q	X
ejpam-3426	328	45	)	)	PUNCT
ejpam-3426	328	46	=	=	PUNCT
ejpam-3426	328	47	g1	g1	PROPN
ejpam-3426	328	48	2µ	2µ	NUM
ejpam-3426	328	49	r1	r1	PROPN
ejpam-3426	328	50	ln	ln	ADV
ejpam-3426	328	51	(	(	PUNCT
ejpam-3426	328	52	r	r	NOUN
ejpam-3426	328	53	r2	r2	PROPN
ejpam-3426	328	54	)	)	PUNCT
ejpam-3426	328	55	t−	t−	PROPN
ejpam-3426	328	56	g1[m	g1[m	VERB
ejpam-3426	328	57	+	+	X
ejpam-3426	328	58	ϑ	ϑ	X
ejpam-3426	328	59	(	(	PUNCT
ejpam-3426	328	60	φ	φ	PROPN
ejpam-3426	328	61	+	+	CCONJ
ejpam-3426	328	62	r2	r2	PROPN
ejpam-3426	328	63	n	n	CCONJ
ejpam-3426	328	64	)	)	PUNCT
ejpam-3426	328	65	]	]	PUNCT
ejpam-3426	329	1	µ[1	µ[1	PROPN
ejpam-3426	329	2	+	+	CCONJ
ejpam-3426	329	3	α	α	PROPN
ejpam-3426	329	4	(	(	PUNCT
ejpam-3426	329	5	φ	φ	PROPN
ejpam-3426	329	6	+	+	CCONJ
ejpam-3426	329	7	r2	r2	PROPN
ejpam-3426	329	8	n)]3	n)]3	NUM
ejpam-3426	329	9	∞∑	∞∑	NUM
ejpam-3426	329	10	n=1	n=1	PROPN
ejpam-3426	329	11	j2	j2	PROPN
ejpam-3426	329	12	0	0	NUM
ejpam-3426	329	13	(	(	PUNCT
ejpam-3426	329	14	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	329	15	)	)	PUNCT
ejpam-3426	329	16	rn[j2	rn[j2	PROPN
ejpam-3426	329	17	1	1	NUM
ejpam-3426	329	18	(	(	PUNCT
ejpam-3426	329	19	r1rn)−	r1rn)−	NOUN
ejpam-3426	329	20	j2	j2	PROPN
ejpam-3426	329	21	0	0	NUM
ejpam-3426	329	22	(	(	PUNCT
ejpam-3426	329	23	r2rn	r2rn	NOUN
ejpam-3426	329	24	)	)	PUNCT
ejpam-3426	329	25	]	]	PUNCT
ejpam-3426	329	26	×	×	NOUN
ejpam-3426	329	27	[	[	PUNCT
ejpam-3426	329	28	ϑr2	ϑr2	NOUN
ejpam-3426	329	29	n[1	n[1	PROPN
ejpam-3426	329	30	+	+	CCONJ
ejpam-3426	329	31	α	α	PROPN
ejpam-3426	329	32	(	(	PUNCT
ejpam-3426	329	33	φ	φ	PROPN
ejpam-3426	329	34	+	+	CCONJ
ejpam-3426	329	35	r2	r2	PROPN
ejpam-3426	329	36	n	n	CCONJ
ejpam-3426	329	37	)	)	PUNCT
ejpam-3426	329	38	]	]	PUNCT
ejpam-3426	330	1	(	(	PUNCT
ejpam-3426	330	2	1−exp	1−exp	NUM
ejpam-3426	330	3	[	[	PUNCT
ejpam-3426	330	4	−	−	PROPN
ejpam-3426	330	5	m	m	PROPN
ejpam-3426	330	6	+	+	X
ejpam-3426	330	7	ϑ	ϑ	X
ejpam-3426	330	8	(	(	PUNCT
ejpam-3426	330	9	φ	φ	PROPN
ejpam-3426	330	10	+	+	CCONJ
ejpam-3426	330	11	r2	r2	PROPN
ejpam-3426	330	12	n	n	CCONJ
ejpam-3426	330	13	)	)	PUNCT
ejpam-3426	330	14	1	1	NUM
ejpam-3426	330	15	+	+	NUM
ejpam-3426	330	16	α	α	PROPN
ejpam-3426	330	17	(	(	PUNCT
ejpam-3426	330	18	φ	φ	PROPN
ejpam-3426	330	19	+	+	CCONJ
ejpam-3426	330	20	r2	r2	PROPN
ejpam-3426	330	21	n	n	CCONJ
ejpam-3426	330	22	)	)	PUNCT
ejpam-3426	330	23	]	]	PUNCT
ejpam-3426	330	24	)	)	PUNCT
ejpam-3426	331	1	+	+	CCONJ
ejpam-3426	331	2	t[m(m	t[m(m	NOUN
ejpam-3426	331	3	+	+	SYM
ejpam-3426	331	4	ϑ(2φ	ϑ(2φ	NUM
ejpam-3426	331	5	+	+	CCONJ
ejpam-3426	331	6	r2	r2	PROPN
ejpam-3426	331	7	n	n	CCONJ
ejpam-3426	331	8	)	)	PUNCT
ejpam-3426	331	9	)	)	PUNCT
ejpam-3426	332	1	+	+	CCONJ
ejpam-3426	332	2	φϑ2(φ	φϑ2(φ	NOUN
ejpam-3426	332	3	+	+	NUM
ejpam-3426	332	4	r2	r2	PROPN
ejpam-3426	332	5	n	n	CCONJ
ejpam-3426	332	6	)	)	PUNCT
ejpam-3426	332	7	]	]	PUNCT
ejpam-3426	333	1	]	]	PUNCT
ejpam-3426	334	1	+	+	CCONJ
ejpam-3426	334	2	g2r2π	g2r2π	NUM
ejpam-3426	334	3	2[1	2[1	NUM
ejpam-3426	335	1	+	+	CCONJ
ejpam-3426	335	2	α(φ	α(φ	PROPN
ejpam-3426	335	3	+	+	NUM
ejpam-3426	335	4	r2	r2	PROPN
ejpam-3426	335	5	n	n	CCONJ
ejpam-3426	335	6	)	)	PUNCT
ejpam-3426	335	7	]	]	PUNCT
ejpam-3426	336	1	∞∑	∞∑	NUM
ejpam-3426	336	2	n=1	n=1	PROPN
ejpam-3426	336	3	r3	r3	PROPN
ejpam-3426	336	4	nj	nj	PROPN
ejpam-3426	336	5	2	2	NUM
ejpam-3426	336	6	1	1	NUM
ejpam-3426	336	7	(	(	PUNCT
ejpam-3426	336	8	r2rn)bv(rrn	r2rn)bv(rrn	NOUN
ejpam-3426	336	9	)	)	PUNCT
ejpam-3426	336	10	dv(r1	dv(r1	NOUN
ejpam-3426	336	11	,	,	PUNCT
ejpam-3426	336	12	r2	r2	PROPN
ejpam-3426	336	13	,	,	PUNCT
ejpam-3426	336	14	rn	rn	PROPN
ejpam-3426	336	15	)	)	PUNCT
ejpam-3426	336	16	j2	j2	PROPN
ejpam-3426	336	17	2	2	NUM
ejpam-3426	336	18	(	(	PUNCT
ejpam-3426	336	19	r1rn)−	r1rn)−	NOUN
ejpam-3426	336	20	j2	j2	PROPN
ejpam-3426	336	21	1	1	NUM
ejpam-3426	336	22	(	(	PUNCT
ejpam-3426	336	23	r2rn	r2rn	X
ejpam-3426	336	24	)	)	PUNCT
ejpam-3426	336	25	{	{	PUNCT
ejpam-3426	336	26	t−	t−	PROPN
ejpam-3426	336	27	1	1	NUM
ejpam-3426	337	1	[	[	X
ejpam-3426	337	2	m	m	X
ejpam-3426	337	3	+	+	X
ejpam-3426	337	4	ϑ	ϑ	X
ejpam-3426	337	5	(	(	PUNCT
ejpam-3426	337	6	φ	φ	PROPN
ejpam-3426	337	7	+	+	PROPN
ejpam-3426	337	8	r2	r2	PROPN
ejpam-3426	337	9	n)]2	n)]2	PROPN
ejpam-3426	337	10	[	[	PUNCT
ejpam-3426	337	11	ϑ	ϑ	X
ejpam-3426	337	12	−α[m	−α[m	PROPN
ejpam-3426	337	13	+	+	NUM
ejpam-3426	337	14	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	337	15	+	+	CCONJ
ejpam-3426	337	16	r2	r2	PROPN
ejpam-3426	337	17	n	n	CCONJ
ejpam-3426	337	18	−	−	PROPN
ejpam-3426	337	19	1)]−	1)]−	NUM
ejpam-3426	337	20	tϑ[m	tϑ[m	PROPN
ejpam-3426	337	21	+	+	PUNCT
ejpam-3426	337	22	ϑ(φ	ϑ(φ	PROPN
ejpam-3426	337	23	+	+	CCONJ
ejpam-3426	337	24	r2	r2	PROPN
ejpam-3426	337	25	n)(φ	n)(φ	PROPN
ejpam-3426	337	26	+	+	CCONJ
ejpam-3426	337	27	r2	r2	NOUN
ejpam-3426	337	28	n	n	CCONJ
ejpam-3426	337	29	−	−	PROPN
ejpam-3426	337	30	1	1	NUM
ejpam-3426	337	31	)	)	PUNCT
ejpam-3426	337	32	]	]	PUNCT
ejpam-3426	338	1	]	]	X
ejpam-3426	338	2	(	(	PUNCT
ejpam-3426	338	3	1−exp	1−exp	NUM
ejpam-3426	338	4	[	[	PUNCT
ejpam-3426	338	5	−	−	PROPN
ejpam-3426	338	6	m	m	PROPN
ejpam-3426	338	7	+	+	X
ejpam-3426	338	8	ϑ	ϑ	X
ejpam-3426	338	9	(	(	PUNCT
ejpam-3426	338	10	φ	φ	PROPN
ejpam-3426	338	11	+	+	CCONJ
ejpam-3426	338	12	r2	r2	PROPN
ejpam-3426	338	13	n	n	CCONJ
ejpam-3426	338	14	)	)	PUNCT
ejpam-3426	338	15	1	1	NUM
ejpam-3426	339	1	+	+	NUM
ejpam-3426	339	2	α	α	PROPN
ejpam-3426	339	3	(	(	PUNCT
ejpam-3426	339	4	φ	φ	PROPN
ejpam-3426	339	5	+	+	CCONJ
ejpam-3426	339	6	r2	r2	PROPN
ejpam-3426	339	7	n	n	CCONJ
ejpam-3426	339	8	)	)	PUNCT
ejpam-3426	339	9	]	]	PUNCT
ejpam-3426	339	10	)	)	PUNCT
ejpam-3426	340	1	+	+	NOUN
ejpam-3426	340	2	t	t	X
ejpam-3426	340	3	[	[	PUNCT
ejpam-3426	340	4	m2	m2	PROPN
ejpam-3426	340	5	+	+	CCONJ
ejpam-3426	340	6	ϑ2(φ	ϑ2(φ	PROPN
ejpam-3426	340	7	+	+	CCONJ
ejpam-3426	340	8	r2	r2	PROPN
ejpam-3426	340	9	n)(φ	n)(φ	PROPN
ejpam-3426	340	10	+	+	CCONJ
ejpam-3426	340	11	r2	r2	NOUN
ejpam-3426	340	12	n	n	CCONJ
ejpam-3426	340	13	−	−	PROPN
ejpam-3426	340	14	1)exp	1)exp	NUM
ejpam-3426	340	15	[	[	PUNCT
ejpam-3426	340	16	−	−	PROPN
ejpam-3426	340	17	m	m	PROPN
ejpam-3426	340	18	+	+	X
ejpam-3426	340	19	ϑ	ϑ	X
ejpam-3426	340	20	(	(	PUNCT
ejpam-3426	340	21	φ	φ	PROPN
ejpam-3426	340	22	+	+	CCONJ
ejpam-3426	340	23	r2	r2	PROPN
ejpam-3426	340	24	n	n	CCONJ
ejpam-3426	340	25	)	)	PUNCT
ejpam-3426	340	26	1	1	NUM
ejpam-3426	340	27	+	+	NUM
ejpam-3426	340	28	α	α	PROPN
ejpam-3426	340	29	(	(	PUNCT
ejpam-3426	340	30	φ	φ	PROPN
ejpam-3426	340	31	+	+	CCONJ
ejpam-3426	340	32	r2	r2	PROPN
ejpam-3426	340	33	n	n	CCONJ
ejpam-3426	340	34	)	)	PUNCT
ejpam-3426	340	35	]	]	PUNCT
ejpam-3426	340	36	]	]	X
ejpam-3426	340	37	}	}	PUNCT
ejpam-3426	340	38	,	,	PUNCT
ejpam-3426	340	39	(	(	PUNCT
ejpam-3426	340	40	45	45	NUM
ejpam-3426	340	41	)	)	PUNCT
ejpam-3426	340	42	m.	m.	NOUN
ejpam-3426	340	43	jamil	jamil	PROPN
ejpam-3426	340	44	,	,	PUNCT
ejpam-3426	340	45	m.	m.	NOUN
ejpam-3426	340	46	zafarullah	zafarullah	PROPN
ejpam-3426	340	47	/	/	SYM
ejpam-3426	340	48	eur	eur	PROPN
ejpam-3426	340	49	.	.	PUNCT
ejpam-3426	341	1	j.	j.	PROPN
ejpam-3426	341	2	pure	pure	PROPN
ejpam-3426	341	3	appl	appl	PROPN
ejpam-3426	341	4	.	.	PROPN
ejpam-3426	341	5	math	math	PROPN
ejpam-3426	341	6	,	,	PUNCT
ejpam-3426	341	7	12	12	NUM
ejpam-3426	341	8	(	(	PUNCT
ejpam-3426	341	9	3	3	NUM
ejpam-3426	341	10	)	)	PUNCT
ejpam-3426	341	11	(	(	PUNCT
ejpam-3426	341	12	2019	2019	NUM
ejpam-3426	341	13	)	)	PUNCT
ejpam-3426	341	14	,	,	PUNCT
ejpam-3426	341	15	1149	1149	NUM
ejpam-3426	341	16	-	-	SYM
ejpam-3426	341	17	1175	1175	NUM
ejpam-3426	341	18	1164	1164	NUM
ejpam-3426	341	19	τω(r1	τω(r1	NOUN
ejpam-3426	341	20	,	,	PUNCT
ejpam-3426	341	21	t	t	PROPN
ejpam-3426	341	22	)	)	PUNCT
ejpam-3426	341	23	=	=	SYM
ejpam-3426	341	24	f1	f1	NOUN
ejpam-3426	341	25	(	(	PUNCT
ejpam-3426	341	26	r1	r1	PROPN
ejpam-3426	341	27	r	r	NOUN
ejpam-3426	341	28	)	)	PUNCT
ejpam-3426	341	29	t+	t+	NOUN
ejpam-3426	341	30	f1	f1	NOUN
ejpam-3426	341	31	∞∑	∞∑	PROPN
ejpam-3426	341	32	m=1	m=1	PROPN
ejpam-3426	341	33	j2	j2	PROPN
ejpam-3426	341	34	1	1	NUM
ejpam-3426	341	35	(	(	PUNCT
ejpam-3426	341	36	r2	r2	PROPN
ejpam-3426	341	37	rm	rm	PROPN
ejpam-3426	341	38	)	)	PUNCT
ejpam-3426	341	39	bω(r	bω(r	NUM
ejpam-3426	341	40	rm	rm	PROPN
ejpam-3426	341	41	)	)	PUNCT
ejpam-3426	341	42	j2	j2	PROPN
ejpam-3426	341	43	2	2	NUM
ejpam-3426	341	44	(	(	PUNCT
ejpam-3426	341	45	r1	r1	PROPN
ejpam-3426	341	46	rm)−	rm)−	PROPN
ejpam-3426	341	47	j2	j2	PROPN
ejpam-3426	341	48	1	1	NUM
ejpam-3426	341	49	(	(	PUNCT
ejpam-3426	341	50	r2	r2	PROPN
ejpam-3426	341	51	rm	rm	PROPN
ejpam-3426	341	52	)	)	PUNCT
ejpam-3426	341	53	1	1	NUM
ejpam-3426	341	54	1	1	NUM
ejpam-3426	341	55	+	+	CCONJ
ejpam-3426	341	56	α(φ	α(φ	PROPN
ejpam-3426	341	57	+	+	NUM
ejpam-3426	341	58	r2	r2	PROPN
ejpam-3426	341	59	m	m	PROPN
ejpam-3426	341	60	)	)	PUNCT
ejpam-3426	342	1	[	[	PUNCT
ejpam-3426	342	2	[	[	X
ejpam-3426	342	3	1	1	NUM
ejpam-3426	342	4	+	+	CCONJ
ejpam-3426	342	5	αφ	αφ	NUM
ejpam-3426	342	6	]	]	SYM
ejpam-3426	342	7	1	1	NUM
ejpam-3426	342	8	+	+	NUM
ejpam-3426	342	9	α	α	PROPN
ejpam-3426	342	10	(	(	PUNCT
ejpam-3426	342	11	φ	φ	PROPN
ejpam-3426	342	12	+	+	CCONJ
ejpam-3426	342	13	r2	r2	PROPN
ejpam-3426	342	14	m	m	PROPN
ejpam-3426	342	15	)	)	PUNCT
ejpam-3426	342	16	m	m	VERB
ejpam-3426	343	1	+	+	X
ejpam-3426	343	2	ϑ	ϑ	X
ejpam-3426	343	3	(	(	PUNCT
ejpam-3426	343	4	φ	φ	PROPN
ejpam-3426	343	5	+	+	CCONJ
ejpam-3426	343	6	r2	r2	PROPN
ejpam-3426	343	7	m	m	PROPN
ejpam-3426	343	8	)	)	PUNCT
ejpam-3426	343	9	×	×	NOUN
ejpam-3426	343	10	{	{	PUNCT
ejpam-3426	343	11	1−exp	1−exp	NUM
ejpam-3426	343	12	[	[	PUNCT
ejpam-3426	343	13	−	−	PROPN
ejpam-3426	343	14	m	m	PROPN
ejpam-3426	343	15	+	+	X
ejpam-3426	343	16	ϑ	ϑ	X
ejpam-3426	343	17	(	(	PUNCT
ejpam-3426	343	18	φ	φ	PROPN
ejpam-3426	343	19	+	+	X
ejpam-3426	343	20	r2	r2	PROPN
ejpam-3426	343	21	m	m	PROPN
ejpam-3426	343	22	)	)	PUNCT
ejpam-3426	343	23	1	1	NUM
ejpam-3426	344	1	+	+	NUM
ejpam-3426	344	2	α	α	PROPN
ejpam-3426	344	3	(	(	PUNCT
ejpam-3426	344	4	φ	φ	PROPN
ejpam-3426	344	5	+	+	CCONJ
ejpam-3426	344	6	r2	r2	PROPN
ejpam-3426	344	7	m	m	PROPN
ejpam-3426	344	8	)	)	PUNCT
ejpam-3426	344	9	t	t	X
ejpam-3426	344	10	]	]	PUNCT
ejpam-3426	344	11	}	}	PUNCT
ejpam-3426	344	12	+	+	PUNCT
ejpam-3426	345	1	[	[	X
ejpam-3426	345	2	m	m	X
ejpam-3426	345	3	+	+	X
ejpam-3426	345	4	φϑ	φϑ	X
ejpam-3426	345	5	]	]	X
ejpam-3426	345	6	1	1	NUM
ejpam-3426	345	7	+	+	NUM
ejpam-3426	345	8	α	α	PROPN
ejpam-3426	345	9	(	(	PUNCT
ejpam-3426	345	10	φ	φ	PROPN
ejpam-3426	345	11	+	+	CCONJ
ejpam-3426	345	12	r2	r2	PROPN
ejpam-3426	345	13	m	m	PROPN
ejpam-3426	345	14	)	)	PUNCT
ejpam-3426	346	1	[	[	X
ejpam-3426	346	2	m	m	X
ejpam-3426	346	3	+	+	X
ejpam-3426	346	4	ϑ	ϑ	X
ejpam-3426	346	5	(	(	PUNCT
ejpam-3426	346	6	φ	φ	PROPN
ejpam-3426	346	7	+	+	CCONJ
ejpam-3426	346	8	r2	r2	PROPN
ejpam-3426	346	9	m)]2	m)]2	PROPN
ejpam-3426	346	10	{	{	PUNCT
ejpam-3426	346	11	t[m	t[m	PROPN
ejpam-3426	346	12	+	+	CCONJ
ejpam-3426	346	13	ϑ	ϑ	X
ejpam-3426	346	14	(	(	PUNCT
ejpam-3426	346	15	φ	φ	PROPN
ejpam-3426	346	16	+	+	X
ejpam-3426	346	17	r2	r2	PROPN
ejpam-3426	346	18	m	m	PROPN
ejpam-3426	346	19	)	)	PUNCT
ejpam-3426	346	20	]	]	PUNCT
ejpam-3426	347	1	−[1	−[1	NOUN
ejpam-3426	347	2	+	+	CCONJ
ejpam-3426	347	3	α	α	PROPN
ejpam-3426	347	4	(	(	PUNCT
ejpam-3426	347	5	φ	φ	PROPN
ejpam-3426	347	6	+	+	CCONJ
ejpam-3426	347	7	r2	r2	PROPN
ejpam-3426	347	8	m	m	PROPN
ejpam-3426	347	9	)	)	PUNCT
ejpam-3426	347	10	]	]	PUNCT
ejpam-3426	348	1	[	[	PUNCT
ejpam-3426	348	2	1−exp	1−exp	NUM
ejpam-3426	348	3	[	[	PUNCT
ejpam-3426	348	4	−	−	PROPN
ejpam-3426	348	5	m	m	PROPN
ejpam-3426	348	6	+	+	X
ejpam-3426	348	7	ϑ	ϑ	X
ejpam-3426	348	8	(	(	PUNCT
ejpam-3426	348	9	φ	φ	PROPN
ejpam-3426	348	10	+	+	X
ejpam-3426	348	11	r2	r2	PROPN
ejpam-3426	348	12	m	m	PROPN
ejpam-3426	348	13	)	)	PUNCT
ejpam-3426	348	14	1	1	NUM
ejpam-3426	349	1	+	+	NUM
ejpam-3426	349	2	α	α	PROPN
ejpam-3426	349	3	(	(	PUNCT
ejpam-3426	349	4	φ	φ	PROPN
ejpam-3426	349	5	+	+	CCONJ
ejpam-3426	349	6	r2	r2	PROPN
ejpam-3426	349	7	m	m	PROPN
ejpam-3426	349	8	)	)	PUNCT
ejpam-3426	349	9	t	t	X
ejpam-3426	349	10	]	]	X
ejpam-3426	349	11	]	]	X
ejpam-3426	349	12	}	}	PUNCT
ejpam-3426	349	13	]	]	PUNCT
ejpam-3426	349	14	−	−	X
ejpam-3426	350	1	f2	f2	PROPN
ejpam-3426	350	2	π	π	X
ejpam-3426	350	3	ρr2	ρr2	ADP
ejpam-3426	350	4	2[1	2[1	NUM
ejpam-3426	351	1	+	+	CCONJ
ejpam-3426	351	2	α(φ	α(φ	PROPN
ejpam-3426	351	3	+	+	NUM
ejpam-3426	351	4	r2	r2	PROPN
ejpam-3426	351	5	m	m	PROPN
ejpam-3426	351	6	)	)	PUNCT
ejpam-3426	351	7	]	]	PUNCT
ejpam-3426	352	1	×	×	PROPN
ejpam-3426	352	2	∞∑	∞∑	PROPN
ejpam-3426	352	3	m=1	m=1	PROPN
ejpam-3426	352	4	r4	r4	PROPN
ejpam-3426	352	5	m	m	PROPN
ejpam-3426	352	6	j	j	NOUN
ejpam-3426	352	7	2	2	NUM
ejpam-3426	352	8	1	1	NUM
ejpam-3426	352	9	(	(	PUNCT
ejpam-3426	352	10	r2	r2	PROPN
ejpam-3426	352	11	rm	rm	PROPN
ejpam-3426	352	12	)	)	PUNCT
ejpam-3426	352	13	bω(r	bω(r	NUM
ejpam-3426	352	14	rm	rm	PROPN
ejpam-3426	352	15	)	)	PUNCT
ejpam-3426	352	16	dw(r1	dw(r1	PROPN
ejpam-3426	352	17	,	,	PUNCT
ejpam-3426	352	18	r2	r2	PROPN
ejpam-3426	352	19	,	,	PUNCT
ejpam-3426	352	20	rm	rm	PROPN
ejpam-3426	352	21	)	)	PUNCT
ejpam-3426	352	22	j2	j2	PROPN
ejpam-3426	352	23	2	2	NUM
ejpam-3426	352	24	(	(	PUNCT
ejpam-3426	352	25	r1	r1	PROPN
ejpam-3426	352	26	rm)−	rm)−	PROPN
ejpam-3426	352	27	j2	j2	PROPN
ejpam-3426	352	28	1	1	NUM
ejpam-3426	352	29	(	(	PUNCT
ejpam-3426	352	30	r2	r2	PROPN
ejpam-3426	352	31	rm	rm	PROPN
ejpam-3426	352	32	)	)	PUNCT
ejpam-3426	352	33	[	[	PUNCT
ejpam-3426	352	34	ϑ2	ϑ2	PROPN
ejpam-3426	352	35	1	1	NUM
ejpam-3426	352	36	+	+	CCONJ
ejpam-3426	352	37	α	α	PROPN
ejpam-3426	352	38	(	(	PUNCT
ejpam-3426	352	39	φ	φ	PROPN
ejpam-3426	352	40	+	+	CCONJ
ejpam-3426	352	41	r2	r2	PROPN
ejpam-3426	352	42	m	m	PROPN
ejpam-3426	352	43	)	)	PUNCT
ejpam-3426	353	1	[	[	X
ejpam-3426	353	2	m	m	X
ejpam-3426	353	3	+	+	X
ejpam-3426	353	4	ϑ	ϑ	X
ejpam-3426	353	5	(	(	PUNCT
ejpam-3426	353	6	φ	φ	PROPN
ejpam-3426	353	7	+	+	CCONJ
ejpam-3426	353	8	r2	r2	PROPN
ejpam-3426	353	9	m)]2	m)]2	PROPN
ejpam-3426	353	10	{	{	PUNCT
ejpam-3426	353	11	t[m	t[m	PROPN
ejpam-3426	353	12	+	+	CCONJ
ejpam-3426	353	13	ϑ	ϑ	X
ejpam-3426	353	14	(	(	PUNCT
ejpam-3426	353	15	φ	φ	PROPN
ejpam-3426	353	16	+	+	X
ejpam-3426	353	17	r2	r2	PROPN
ejpam-3426	353	18	m	m	PROPN
ejpam-3426	353	19	)	)	PUNCT
ejpam-3426	353	20	]	]	PUNCT
ejpam-3426	354	1	−[1	−[1	NOUN
ejpam-3426	354	2	+	+	CCONJ
ejpam-3426	354	3	α	α	PROPN
ejpam-3426	354	4	(	(	PUNCT
ejpam-3426	354	5	φ	φ	PROPN
ejpam-3426	354	6	+	+	CCONJ
ejpam-3426	354	7	r2	r2	PROPN
ejpam-3426	354	8	m	m	PROPN
ejpam-3426	354	9	)	)	PUNCT
ejpam-3426	354	10	]	]	PUNCT
ejpam-3426	355	1	[	[	PUNCT
ejpam-3426	355	2	1−exp	1−exp	NUM
ejpam-3426	355	3	[	[	PUNCT
ejpam-3426	355	4	−	−	PROPN
ejpam-3426	355	5	m	m	PROPN
ejpam-3426	355	6	+	+	X
ejpam-3426	355	7	ϑ	ϑ	X
ejpam-3426	355	8	(	(	PUNCT
ejpam-3426	355	9	φ	φ	PROPN
ejpam-3426	355	10	+	+	X
ejpam-3426	355	11	r2	r2	PROPN
ejpam-3426	355	12	m	m	PROPN
ejpam-3426	355	13	)	)	PUNCT
ejpam-3426	355	14	1	1	NUM
ejpam-3426	356	1	+	+	NUM
ejpam-3426	356	2	α	α	PROPN
ejpam-3426	356	3	(	(	PUNCT
ejpam-3426	356	4	φ	φ	PROPN
ejpam-3426	356	5	+	+	CCONJ
ejpam-3426	356	6	r2	r2	PROPN
ejpam-3426	356	7	m	m	PROPN
ejpam-3426	356	8	)	)	PUNCT
ejpam-3426	356	9	t	t	X
ejpam-3426	356	10	]	]	X
ejpam-3426	356	11	]	]	X
ejpam-3426	356	12	}	}	PUNCT
ejpam-3426	356	13	+	+	CCONJ
ejpam-3426	356	14	2αϑ	2αϑ	ADJ
ejpam-3426	356	15	1	1	NUM
ejpam-3426	356	16	+	+	NUM
ejpam-3426	356	17	α	α	PROPN
ejpam-3426	356	18	(	(	PUNCT
ejpam-3426	356	19	φ	φ	PROPN
ejpam-3426	356	20	+	+	CCONJ
ejpam-3426	356	21	r2	r2	PROPN
ejpam-3426	356	22	m	m	PROPN
ejpam-3426	356	23	)	)	PUNCT
ejpam-3426	356	24	m	m	VERB
ejpam-3426	357	1	+	+	X
ejpam-3426	357	2	ϑ	ϑ	X
ejpam-3426	357	3	(	(	PUNCT
ejpam-3426	357	4	φ	φ	PROPN
ejpam-3426	357	5	+	+	CCONJ
ejpam-3426	357	6	r2	r2	PROPN
ejpam-3426	357	7	m	m	PROPN
ejpam-3426	357	8	)	)	PUNCT
ejpam-3426	357	9	×	×	NOUN
ejpam-3426	357	10	{	{	PUNCT
ejpam-3426	357	11	1−exp	1−exp	NUM
ejpam-3426	357	12	[	[	PUNCT
ejpam-3426	357	13	−	−	PROPN
ejpam-3426	357	14	m	m	PROPN
ejpam-3426	357	15	+	+	X
ejpam-3426	357	16	ϑ	ϑ	X
ejpam-3426	357	17	(	(	PUNCT
ejpam-3426	357	18	φ	φ	PROPN
ejpam-3426	357	19	+	+	X
ejpam-3426	357	20	r2	r2	PROPN
ejpam-3426	357	21	m	m	PROPN
ejpam-3426	357	22	)	)	PUNCT
ejpam-3426	357	23	1	1	NUM
ejpam-3426	358	1	+	+	NUM
ejpam-3426	358	2	α	α	PROPN
ejpam-3426	358	3	(	(	PUNCT
ejpam-3426	358	4	φ	φ	PROPN
ejpam-3426	358	5	+	+	CCONJ
ejpam-3426	358	6	r2	r2	PROPN
ejpam-3426	358	7	m	m	PROPN
ejpam-3426	358	8	)	)	PUNCT
ejpam-3426	358	9	t	t	X
ejpam-3426	358	10	]	]	PUNCT
ejpam-3426	358	11	}	}	PUNCT
ejpam-3426	358	12	]	]	PUNCT
ejpam-3426	358	13	,	,	PUNCT
ejpam-3426	358	14	(	(	PUNCT
ejpam-3426	358	15	46	46	NUM
ejpam-3426	358	16	)	)	PUNCT
ejpam-3426	358	17	τv(r1	τv(r1	PROPN
ejpam-3426	358	18	,	,	PUNCT
ejpam-3426	358	19	t	t	NOUN
ejpam-3426	358	20	)	)	PUNCT
ejpam-3426	358	21	=	=	SYM
ejpam-3426	358	22	g1	g1	PROPN
ejpam-3426	358	23	(	(	PUNCT
ejpam-3426	358	24	r1	r1	PROPN
ejpam-3426	358	25	r	r	NOUN
ejpam-3426	358	26	)	)	PUNCT
ejpam-3426	358	27	t+	t+	PUNCT
ejpam-3426	358	28	g1	g1	VERB
ejpam-3426	358	29	∞∑	∞∑	PRON
ejpam-3426	358	30	n=1	n=1	PROPN
ejpam-3426	358	31	j2	j2	PROPN
ejpam-3426	358	32	0	0	NUM
ejpam-3426	358	33	(	(	PUNCT
ejpam-3426	358	34	r2	r2	PROPN
ejpam-3426	358	35	rn	rn	PROPN
ejpam-3426	358	36	)	)	PUNCT
ejpam-3426	358	37	bv(r	bv(r	PUNCT
ejpam-3426	358	38	rn	rn	PROPN
ejpam-3426	358	39	)	)	PUNCT
ejpam-3426	358	40	j2	j2	PROPN
ejpam-3426	358	41	1	1	NUM
ejpam-3426	358	42	(	(	PUNCT
ejpam-3426	358	43	r1	r1	PROPN
ejpam-3426	358	44	rn)−	rn)−	NOUN
ejpam-3426	358	45	j2	j2	NOUN
ejpam-3426	358	46	0	0	NUM
ejpam-3426	358	47	(	(	PUNCT
ejpam-3426	358	48	r2	r2	PROPN
ejpam-3426	358	49	rn	rn	PROPN
ejpam-3426	358	50	)	)	PUNCT
ejpam-3426	358	51	1	1	NUM
ejpam-3426	358	52	1	1	NUM
ejpam-3426	358	53	+	+	CCONJ
ejpam-3426	358	54	α(φ	α(φ	PROPN
ejpam-3426	358	55	+	+	NUM
ejpam-3426	358	56	r2	r2	PROPN
ejpam-3426	358	57	n	n	CCONJ
ejpam-3426	358	58	)	)	PUNCT
ejpam-3426	358	59	[	[	PUNCT
ejpam-3426	359	1	[	[	X
ejpam-3426	359	2	1	1	NUM
ejpam-3426	359	3	+	+	CCONJ
ejpam-3426	359	4	αφ	αφ	NUM
ejpam-3426	359	5	]	]	SYM
ejpam-3426	359	6	1	1	NUM
ejpam-3426	359	7	+	+	NUM
ejpam-3426	359	8	α	α	PROPN
ejpam-3426	359	9	(	(	PUNCT
ejpam-3426	359	10	φ	φ	PROPN
ejpam-3426	359	11	+	+	CCONJ
ejpam-3426	359	12	r2	r2	PROPN
ejpam-3426	359	13	n	n	CCONJ
ejpam-3426	359	14	)	)	PUNCT
ejpam-3426	359	15	m	m	PROPN
ejpam-3426	359	16	+	+	X
ejpam-3426	359	17	ϑ	ϑ	X
ejpam-3426	359	18	(	(	PUNCT
ejpam-3426	359	19	φ	φ	PROPN
ejpam-3426	359	20	+	+	CCONJ
ejpam-3426	359	21	r2	r2	PROPN
ejpam-3426	359	22	n	n	CCONJ
ejpam-3426	359	23	)	)	PUNCT
ejpam-3426	359	24	×	×	NOUN
ejpam-3426	359	25	{	{	PUNCT
ejpam-3426	359	26	1−exp	1−exp	NUM
ejpam-3426	359	27	[	[	PUNCT
ejpam-3426	359	28	−	−	PROPN
ejpam-3426	359	29	m	m	PROPN
ejpam-3426	359	30	+	+	X
ejpam-3426	359	31	ϑ	ϑ	X
ejpam-3426	359	32	(	(	PUNCT
ejpam-3426	359	33	φ	φ	PROPN
ejpam-3426	359	34	+	+	CCONJ
ejpam-3426	359	35	r2	r2	PROPN
ejpam-3426	359	36	n	n	CCONJ
ejpam-3426	359	37	)	)	PUNCT
ejpam-3426	359	38	1	1	NUM
ejpam-3426	359	39	+	+	NUM
ejpam-3426	359	40	α	α	PROPN
ejpam-3426	359	41	(	(	PUNCT
ejpam-3426	359	42	φ	φ	PROPN
ejpam-3426	359	43	+	+	CCONJ
ejpam-3426	359	44	r2	r2	PROPN
ejpam-3426	359	45	n	n	CCONJ
ejpam-3426	359	46	)	)	PUNCT
ejpam-3426	359	47	t	t	NOUN
ejpam-3426	359	48	]	]	PUNCT
ejpam-3426	359	49	}	}	PUNCT
ejpam-3426	359	50	+	+	PUNCT
ejpam-3426	360	1	[	[	X
ejpam-3426	360	2	m	m	X
ejpam-3426	360	3	+	+	X
ejpam-3426	360	4	φϑ	φϑ	X
ejpam-3426	360	5	]	]	X
ejpam-3426	360	6	1	1	NUM
ejpam-3426	360	7	+	+	NUM
ejpam-3426	360	8	α	α	PROPN
ejpam-3426	360	9	(	(	PUNCT
ejpam-3426	360	10	φ	φ	PROPN
ejpam-3426	360	11	+	+	CCONJ
ejpam-3426	360	12	r2	r2	PROPN
ejpam-3426	360	13	n	n	CCONJ
ejpam-3426	360	14	)	)	PUNCT
ejpam-3426	361	1	[	[	X
ejpam-3426	361	2	m	m	X
ejpam-3426	361	3	+	+	X
ejpam-3426	361	4	ϑ	ϑ	X
ejpam-3426	361	5	(	(	PUNCT
ejpam-3426	361	6	φ	φ	PROPN
ejpam-3426	361	7	+	+	CCONJ
ejpam-3426	361	8	r2	r2	PROPN
ejpam-3426	361	9	n)]2	n)]2	PROPN
ejpam-3426	361	10	{	{	PUNCT
ejpam-3426	361	11	t[m	t[m	PROPN
ejpam-3426	361	12	+	+	CCONJ
ejpam-3426	361	13	ϑ	ϑ	X
ejpam-3426	361	14	(	(	PUNCT
ejpam-3426	361	15	φ	φ	PROPN
ejpam-3426	361	16	+	+	CCONJ
ejpam-3426	361	17	r2	r2	PROPN
ejpam-3426	361	18	n	n	CCONJ
ejpam-3426	361	19	)	)	PUNCT
ejpam-3426	361	20	]	]	PUNCT
ejpam-3426	362	1	−[1	−[1	NOUN
ejpam-3426	362	2	+	+	CCONJ
ejpam-3426	362	3	α	α	PROPN
ejpam-3426	362	4	(	(	PUNCT
ejpam-3426	362	5	φ	φ	PROPN
ejpam-3426	362	6	+	+	CCONJ
ejpam-3426	362	7	r2	r2	PROPN
ejpam-3426	362	8	n	n	CCONJ
ejpam-3426	362	9	)	)	PUNCT
ejpam-3426	362	10	]	]	PUNCT
ejpam-3426	363	1	[	[	PUNCT
ejpam-3426	363	2	1−exp	1−exp	NUM
ejpam-3426	363	3	[	[	PUNCT
ejpam-3426	363	4	−	−	PROPN
ejpam-3426	363	5	m	m	PROPN
ejpam-3426	363	6	+	+	X
ejpam-3426	363	7	ϑ	ϑ	X
ejpam-3426	363	8	(	(	PUNCT
ejpam-3426	363	9	φ	φ	PROPN
ejpam-3426	363	10	+	+	CCONJ
ejpam-3426	363	11	r2	r2	PROPN
ejpam-3426	363	12	n	n	CCONJ
ejpam-3426	363	13	)	)	PUNCT
ejpam-3426	363	14	1	1	NUM
ejpam-3426	364	1	+	+	NUM
ejpam-3426	364	2	α	α	PROPN
ejpam-3426	364	3	(	(	PUNCT
ejpam-3426	364	4	φ	φ	PROPN
ejpam-3426	364	5	+	+	CCONJ
ejpam-3426	364	6	r2	r2	PROPN
ejpam-3426	364	7	n	n	CCONJ
ejpam-3426	364	8	)	)	PUNCT
ejpam-3426	364	9	t	t	NOUN
ejpam-3426	364	10	]	]	X
ejpam-3426	364	11	]	]	X
ejpam-3426	364	12	}	}	PUNCT
ejpam-3426	364	13	]	]	PUNCT
ejpam-3426	364	14	−	−	PROPN
ejpam-3426	365	1	g2	g2	PROPN
ejpam-3426	365	2	π	π	PROPN
ejpam-3426	365	3	ρr2	ρr2	ADP
ejpam-3426	365	4	2[1	2[1	NUM
ejpam-3426	366	1	+	+	CCONJ
ejpam-3426	366	2	α(φ	α(φ	PROPN
ejpam-3426	366	3	+	+	NUM
ejpam-3426	366	4	r2	r2	PROPN
ejpam-3426	366	5	n	n	CCONJ
ejpam-3426	366	6	)	)	PUNCT
ejpam-3426	366	7	]	]	PUNCT
ejpam-3426	367	1	×	×	PROPN
ejpam-3426	367	2	∞∑	∞∑	NUM
ejpam-3426	367	3	n=1	n=1	PROPN
ejpam-3426	367	4	r4	r4	VERB
ejpam-3426	367	5	n	n	PROPN
ejpam-3426	367	6	j	j	PROPN
ejpam-3426	367	7	2	2	NUM
ejpam-3426	367	8	0	0	NUM
ejpam-3426	367	9	(	(	PUNCT
ejpam-3426	367	10	r2	r2	PROPN
ejpam-3426	367	11	rn	rn	PROPN
ejpam-3426	367	12	)	)	PUNCT
ejpam-3426	367	13	bv(r	bv(r	PUNCT
ejpam-3426	367	14	rn	rn	PROPN
ejpam-3426	367	15	)	)	PUNCT
ejpam-3426	367	16	dv(r1	dv(r1	PROPN
ejpam-3426	367	17	,	,	PUNCT
ejpam-3426	367	18	r2	r2	PROPN
ejpam-3426	367	19	,	,	PUNCT
ejpam-3426	367	20	rn	rn	PROPN
ejpam-3426	367	21	)	)	PUNCT
ejpam-3426	367	22	j2	j2	NOUN
ejpam-3426	367	23	1	1	NUM
ejpam-3426	367	24	(	(	PUNCT
ejpam-3426	367	25	r1	r1	PROPN
ejpam-3426	367	26	rn)−	rn)−	NOUN
ejpam-3426	367	27	j2	j2	NOUN
ejpam-3426	367	28	0	0	NUM
ejpam-3426	367	29	(	(	PUNCT
ejpam-3426	367	30	r2	r2	PROPN
ejpam-3426	367	31	rn	rn	PROPN
ejpam-3426	367	32	)	)	PUNCT
ejpam-3426	367	33	[	[	PUNCT
ejpam-3426	367	34	ϑ2	ϑ2	PROPN
ejpam-3426	367	35	1	1	NUM
ejpam-3426	367	36	+	+	CCONJ
ejpam-3426	367	37	α	α	PROPN
ejpam-3426	367	38	(	(	PUNCT
ejpam-3426	367	39	φ	φ	PROPN
ejpam-3426	367	40	+	+	CCONJ
ejpam-3426	367	41	r2	r2	PROPN
ejpam-3426	367	42	n	n	CCONJ
ejpam-3426	367	43	)	)	PUNCT
ejpam-3426	368	1	[	[	X
ejpam-3426	368	2	m	m	X
ejpam-3426	368	3	+	+	X
ejpam-3426	368	4	ϑ	ϑ	X
ejpam-3426	368	5	(	(	PUNCT
ejpam-3426	368	6	φ	φ	PROPN
ejpam-3426	368	7	+	+	CCONJ
ejpam-3426	368	8	r2	r2	PROPN
ejpam-3426	368	9	n)]2	n)]2	PROPN
ejpam-3426	368	10	{	{	PUNCT
ejpam-3426	368	11	t[m	t[m	PROPN
ejpam-3426	368	12	+	+	CCONJ
ejpam-3426	368	13	ϑ	ϑ	X
ejpam-3426	368	14	(	(	PUNCT
ejpam-3426	368	15	φ	φ	PROPN
ejpam-3426	368	16	+	+	CCONJ
ejpam-3426	368	17	r2	r2	PROPN
ejpam-3426	368	18	n	n	CCONJ
ejpam-3426	368	19	)	)	PUNCT
ejpam-3426	368	20	]	]	PUNCT
ejpam-3426	369	1	−[1	−[1	NOUN
ejpam-3426	369	2	+	+	CCONJ
ejpam-3426	369	3	α	α	PROPN
ejpam-3426	369	4	(	(	PUNCT
ejpam-3426	369	5	φ	φ	PROPN
ejpam-3426	369	6	+	+	CCONJ
ejpam-3426	369	7	r2	r2	PROPN
ejpam-3426	369	8	n	n	CCONJ
ejpam-3426	369	9	)	)	PUNCT
ejpam-3426	369	10	]	]	PUNCT
ejpam-3426	370	1	[	[	PUNCT
ejpam-3426	370	2	1−exp	1−exp	NUM
ejpam-3426	370	3	[	[	PUNCT
ejpam-3426	370	4	−	−	PROPN
ejpam-3426	370	5	m	m	PROPN
ejpam-3426	370	6	+	+	X
ejpam-3426	370	7	ϑ	ϑ	X
ejpam-3426	370	8	(	(	PUNCT
ejpam-3426	370	9	φ	φ	PROPN
ejpam-3426	370	10	+	+	CCONJ
ejpam-3426	370	11	r2	r2	PROPN
ejpam-3426	370	12	n	n	CCONJ
ejpam-3426	370	13	)	)	PUNCT
ejpam-3426	370	14	1	1	NUM
ejpam-3426	371	1	+	+	NUM
ejpam-3426	371	2	α	α	PROPN
ejpam-3426	371	3	(	(	PUNCT
ejpam-3426	371	4	φ	φ	PROPN
ejpam-3426	371	5	+	+	CCONJ
ejpam-3426	371	6	r2	r2	PROPN
ejpam-3426	371	7	n	n	CCONJ
ejpam-3426	371	8	)	)	PUNCT
ejpam-3426	371	9	t	t	NOUN
ejpam-3426	371	10	]	]	X
ejpam-3426	371	11	]	]	X
ejpam-3426	371	12	}	}	PUNCT
ejpam-3426	371	13	+	+	CCONJ
ejpam-3426	371	14	2αϑ	2αϑ	ADJ
ejpam-3426	371	15	1	1	NUM
ejpam-3426	372	1	+	+	NUM
ejpam-3426	372	2	α	α	PROPN
ejpam-3426	372	3	(	(	PUNCT
ejpam-3426	372	4	φ	φ	PROPN
ejpam-3426	372	5	+	+	CCONJ
ejpam-3426	372	6	r2	r2	PROPN
ejpam-3426	372	7	n	n	CCONJ
ejpam-3426	372	8	)	)	PUNCT
ejpam-3426	372	9	m	m	PROPN
ejpam-3426	372	10	+	+	X
ejpam-3426	372	11	ϑ	ϑ	X
ejpam-3426	372	12	(	(	PUNCT
ejpam-3426	372	13	φ	φ	PROPN
ejpam-3426	372	14	+	+	CCONJ
ejpam-3426	372	15	r2	r2	PROPN
ejpam-3426	372	16	n	n	CCONJ
ejpam-3426	372	17	)	)	PUNCT
ejpam-3426	372	18	×	×	NOUN
ejpam-3426	372	19	{	{	PUNCT
ejpam-3426	372	20	1−exp	1−exp	NUM
ejpam-3426	372	21	[	[	PUNCT
ejpam-3426	372	22	−	−	PROPN
ejpam-3426	372	23	m	m	PROPN
ejpam-3426	372	24	+	+	X
ejpam-3426	372	25	ϑ	ϑ	X
ejpam-3426	372	26	(	(	PUNCT
ejpam-3426	372	27	φ	φ	PROPN
ejpam-3426	372	28	+	+	CCONJ
ejpam-3426	372	29	r2	r2	PROPN
ejpam-3426	372	30	n	n	CCONJ
ejpam-3426	372	31	)	)	PUNCT
ejpam-3426	372	32	1	1	NUM
ejpam-3426	373	1	+	+	NUM
ejpam-3426	373	2	α	α	PROPN
ejpam-3426	373	3	(	(	PUNCT
ejpam-3426	373	4	φ	φ	PROPN
ejpam-3426	373	5	+	+	CCONJ
ejpam-3426	373	6	r2	r2	PROPN
ejpam-3426	373	7	n	n	CCONJ
ejpam-3426	373	8	)	)	PUNCT
ejpam-3426	373	9	t	t	NOUN
ejpam-3426	373	10	]	]	PUNCT
ejpam-3426	373	11	}	}	PUNCT
ejpam-3426	373	12	]	]	PUNCT
ejpam-3426	373	13	.	.	PUNCT
ejpam-3426	374	1	(	(	PUNCT
ejpam-3426	374	2	47	47	NUM
ejpam-3426	374	3	)	)	PUNCT
ejpam-3426	374	4	m.	m.	NOUN
ejpam-3426	374	5	jamil	jamil	PROPN
ejpam-3426	374	6	,	,	PUNCT
ejpam-3426	374	7	m.	m.	NOUN
ejpam-3426	374	8	zafarullah	zafarullah	PROPN
ejpam-3426	374	9	/	/	SYM
ejpam-3426	374	10	eur	eur	PROPN
ejpam-3426	374	11	.	.	PUNCT
ejpam-3426	375	1	j.	j.	PROPN
ejpam-3426	375	2	pure	pure	PROPN
ejpam-3426	375	3	appl	appl	PROPN
ejpam-3426	375	4	.	.	PROPN
ejpam-3426	375	5	math	math	PROPN
ejpam-3426	375	6	,	,	PUNCT
ejpam-3426	375	7	12	12	NUM
ejpam-3426	375	8	(	(	PUNCT
ejpam-3426	375	9	3	3	NUM
ejpam-3426	375	10	)	)	PUNCT
ejpam-3426	375	11	(	(	PUNCT
ejpam-3426	375	12	2019	2019	NUM
ejpam-3426	375	13	)	)	PUNCT
ejpam-3426	375	14	,	,	PUNCT
ejpam-3426	375	15	1149	1149	NUM
ejpam-3426	375	16	-	-	SYM
ejpam-3426	375	17	1175	1175	NUM
ejpam-3426	375	18	1165	1165	NUM
ejpam-3426	375	19	4	4	NUM
ejpam-3426	375	20	.	.	PUNCT
ejpam-3426	375	21	numerical	numerical	ADJ
ejpam-3426	375	22	results	result	NOUN
ejpam-3426	375	23	and	and	CCONJ
ejpam-3426	375	24	discussion	discussion	NOUN
ejpam-3426	375	25	in	in	ADP
ejpam-3426	375	26	this	this	DET
ejpam-3426	375	27	part	part	NOUN
ejpam-3426	375	28	of	of	ADP
ejpam-3426	375	29	the	the	DET
ejpam-3426	375	30	article	article	NOUN
ejpam-3426	375	31	,	,	PUNCT
ejpam-3426	375	32	the	the	DET
ejpam-3426	375	33	obtained	obtain	VERB
ejpam-3426	375	34	exact	exact	ADJ
ejpam-3426	375	35	solutions	solution	NOUN
ejpam-3426	375	36	are	be	AUX
ejpam-3426	375	37	studied	study	VERB
ejpam-3426	375	38	numerically	numerically	ADV
ejpam-3426	375	39	in	in	ADP
ejpam-3426	375	40	order	order	NOUN
ejpam-3426	375	41	to	to	PART
ejpam-3426	375	42	determine	determine	VERB
ejpam-3426	375	43	the	the	DET
ejpam-3426	375	44	effects	effect	NOUN
ejpam-3426	375	45	of	of	ADP
ejpam-3426	375	46	several	several	ADJ
ejpam-3426	375	47	involved	involved	ADJ
ejpam-3426	375	48	parameter	parameter	NOUN
ejpam-3426	375	49	such	such	ADJ
ejpam-3426	375	50	as	as	ADP
ejpam-3426	375	51	material	material	NOUN
ejpam-3426	375	52	parameter	parameter	NOUN
ejpam-3426	375	53	α	α	NOUN
ejpam-3426	375	54	,	,	PUNCT
ejpam-3426	375	55	kinematic	kinematic	ADJ
ejpam-3426	375	56	viscosity	viscosity	NOUN
ejpam-3426	375	57	ν	ν	NOUN
ejpam-3426	375	58	,	,	PUNCT
ejpam-3426	375	59	magnetic	magnetic	ADJ
ejpam-3426	375	60	parameter	parameter	NOUN
ejpam-3426	375	61	m	m	PROPN
ejpam-3426	375	62	,	,	PUNCT
ejpam-3426	375	63	porosity	porosity	NOUN
ejpam-3426	375	64	parameter	parameter	NOUN
ejpam-3426	375	65	φ	φ	PROPN
ejpam-3426	375	66	,	,	PUNCT
ejpam-3426	375	67	parameter	parameter	NOUN
ejpam-3426	375	68	p	p	NOUN
ejpam-3426	375	69	,	,	PUNCT
ejpam-3426	375	70	time	time	NOUN
ejpam-3426	375	71	t	t	NOUN
ejpam-3426	375	72	and	and	CCONJ
ejpam-3426	375	73	radial	radial	ADJ
ejpam-3426	375	74	distance	distance	NOUN
ejpam-3426	375	75	r.	r.	PROPN
ejpam-3426	375	76	comparison	comparison	NOUN
ejpam-3426	375	77	between	between	ADP
ejpam-3426	375	78	two	two	NUM
ejpam-3426	375	79	different	different	ADJ
ejpam-3426	375	80	fluid	fluid	NOUN
ejpam-3426	375	81	are	be	AUX
ejpam-3426	375	82	also	also	ADV
ejpam-3426	375	83	presented	present	VERB
ejpam-3426	375	84	for	for	ADP
ejpam-3426	375	85	understanding	understand	VERB
ejpam-3426	375	86	the	the	DET
ejpam-3426	375	87	presented	present	VERB
ejpam-3426	375	88	flow	flow	NOUN
ejpam-3426	375	89	problem	problem	NOUN
ejpam-3426	375	90	.	.	PUNCT
ejpam-3426	376	1	figure	figure	VERB
ejpam-3426	376	2	2	2	NUM
ejpam-3426	376	3	:	:	PUNCT
ejpam-3426	376	4	profiles	profile	NOUN
ejpam-3426	376	5	of	of	ADP
ejpam-3426	376	6	the	the	DET
ejpam-3426	376	7	velocity	velocity	NOUN
ejpam-3426	376	8	field	field	NOUN
ejpam-3426	376	9	components	component	NOUN
ejpam-3426	376	10	for	for	ADP
ejpam-3426	376	11	mhd	mhd	PROPN
ejpam-3426	376	12	second	second	ADJ
ejpam-3426	376	13	grade	grade	NOUN
ejpam-3426	376	14	fluid	fluid	NOUN
ejpam-3426	376	15	with	with	ADP
ejpam-3426	376	16	porous	porous	ADJ
ejpam-3426	376	17	effect	effect	NOUN
ejpam-3426	376	18	w(r	w(r	PROPN
ejpam-3426	376	19	,	,	PUNCT
ejpam-3426	376	20	t	t	PROPN
ejpam-3426	376	21	)	)	PUNCT
ejpam-3426	376	22	,	,	PUNCT
ejpam-3426	376	23	u(r	u(r	PROPN
ejpam-3426	376	24	,	,	PUNCT
ejpam-3426	376	25	t	t	PROPN
ejpam-3426	376	26	)	)	PUNCT
ejpam-3426	376	27	and	and	CCONJ
ejpam-3426	376	28	the	the	DET
ejpam-3426	376	29	shear	shear	NOUN
ejpam-3426	376	30	stresses	stress	NOUN
ejpam-3426	376	31	τw(r	τw(r	PROPN
ejpam-3426	376	32	,	,	PUNCT
ejpam-3426	376	33	t	t	PROPN
ejpam-3426	376	34	)	)	PUNCT
ejpam-3426	376	35	,	,	PUNCT
ejpam-3426	376	36	τv(r	τv(r	NUM
ejpam-3426	376	37	,	,	PUNCT
ejpam-3426	376	38	t	t	PROPN
ejpam-3426	376	39	)	)	PUNCT
ejpam-3426	376	40	given	give	VERB
ejpam-3426	376	41	by	by	ADP
ejpam-3426	376	42	eqs	eqs	PROPN
ejpam-3426	376	43	.	.	PUNCT
ejpam-3426	377	1	(	(	PUNCT
ejpam-3426	377	2	26	26	NUM
ejpam-3426	377	3	)	)	PUNCT
ejpam-3426	377	4	,	,	PUNCT
ejpam-3426	377	5	(	(	PUNCT
ejpam-3426	377	6	27	27	NUM
ejpam-3426	377	7	)	)	PUNCT
ejpam-3426	377	8	,	,	PUNCT
ejpam-3426	377	9	(	(	PUNCT
ejpam-3426	377	10	34	34	NUM
ejpam-3426	377	11	)	)	PUNCT
ejpam-3426	377	12	and	and	CCONJ
ejpam-3426	377	13	(	(	PUNCT
ejpam-3426	377	14	35	35	NUM
ejpam-3426	377	15	)	)	PUNCT
ejpam-3426	377	16	,	,	PUNCT
ejpam-3426	377	17	for	for	ADP
ejpam-3426	377	18	r1	r1	NOUN
ejpam-3426	377	19	=	=	PUNCT
ejpam-3426	377	20	0.1	0.1	NUM
ejpam-3426	377	21	,	,	PUNCT
ejpam-3426	377	22	r2	r2	PROPN
ejpam-3426	377	23	=	=	PUNCT
ejpam-3426	377	24	0.3	0.3	NUM
ejpam-3426	377	25	,	,	PUNCT
ejpam-3426	377	26	f1	f1	NOUN
ejpam-3426	377	27	=	=	SYM
ejpam-3426	377	28	g1	g1	PROPN
ejpam-3426	377	29	=	=	SYM
ejpam-3426	377	30	0.3	0.3	NUM
ejpam-3426	377	31	,	,	PUNCT
ejpam-3426	377	32	f2	f2	PROPN
ejpam-3426	377	33	=	=	SYM
ejpam-3426	377	34	g2	g2	PROPN
ejpam-3426	377	35	=	=	PUNCT
ejpam-3426	377	36	0.2	0.2	NUM
ejpam-3426	377	37	,	,	PUNCT
ejpam-3426	377	38	ν	ν	X
ejpam-3426	377	39	=	=	SYM
ejpam-3426	377	40	0.6355	0.6355	NUM
ejpam-3426	377	41	,	,	PUNCT
ejpam-3426	377	42	µ	µ	X
ejpam-3426	377	43	=	=	SYM
ejpam-3426	377	44	12.26	12.26	NUM
ejpam-3426	377	45	,	,	PUNCT
ejpam-3426	377	46	α	α	NOUN
ejpam-3426	377	47	=	=	NOUN
ejpam-3426	377	48	0.2	0.2	NUM
ejpam-3426	377	49	,	,	PUNCT
ejpam-3426	377	50	m	m	VERB
ejpam-3426	377	51	=	=	NOUN
ejpam-3426	377	52	2	2	NUM
ejpam-3426	377	53	,	,	PUNCT
ejpam-3426	377	54	φ	φ	NOUN
ejpam-3426	377	55	=	=	SYM
ejpam-3426	377	56	2	2	NUM
ejpam-3426	377	57	,	,	PUNCT
ejpam-3426	377	58	p	p	NOUN
ejpam-3426	377	59	=	=	SYM
ejpam-3426	377	60	1	1	NUM
ejpam-3426	377	61	and	and	CCONJ
ejpam-3426	377	62	different	different	ADJ
ejpam-3426	377	63	values	value	NOUN
ejpam-3426	377	64	of	of	ADP
ejpam-3426	377	65	time	time	NOUN
ejpam-3426	377	66	t.	t.	PROPN
ejpam-3426	377	67	m.	m.	PROPN
ejpam-3426	377	68	jamil	jamil	PROPN
ejpam-3426	377	69	,	,	PUNCT
ejpam-3426	377	70	m.	m.	NOUN
ejpam-3426	377	71	zafarullah	zafarullah	PROPN
ejpam-3426	377	72	/	/	SYM
ejpam-3426	377	73	eur	eur	PROPN
ejpam-3426	377	74	.	.	PUNCT
ejpam-3426	378	1	j.	j.	PROPN
ejpam-3426	378	2	pure	pure	PROPN
ejpam-3426	378	3	appl	appl	PROPN
ejpam-3426	378	4	.	.	PROPN
ejpam-3426	378	5	math	math	PROPN
ejpam-3426	378	6	,	,	PUNCT
ejpam-3426	378	7	12	12	NUM
ejpam-3426	378	8	(	(	PUNCT
ejpam-3426	378	9	3	3	NUM
ejpam-3426	378	10	)	)	PUNCT
ejpam-3426	378	11	(	(	PUNCT
ejpam-3426	378	12	2019	2019	NUM
ejpam-3426	378	13	)	)	PUNCT
ejpam-3426	378	14	,	,	PUNCT
ejpam-3426	378	15	1149	1149	NUM
ejpam-3426	378	16	-	-	SYM
ejpam-3426	378	17	1175	1175	NUM
ejpam-3426	378	18	1166	1166	NUM
ejpam-3426	378	19	figs	fig	NOUN
ejpam-3426	378	20	.	.	PUNCT
ejpam-3426	379	1	2	2	NUM
ejpam-3426	379	2	exhibit	exhibit	VERB
ejpam-3426	379	3	the	the	DET
ejpam-3426	379	4	influence	influence	NOUN
ejpam-3426	379	5	of	of	ADP
ejpam-3426	379	6	time	time	NOUN
ejpam-3426	379	7	on	on	ADP
ejpam-3426	379	8	the	the	DET
ejpam-3426	379	9	fluid	fluid	ADJ
ejpam-3426	379	10	motion	motion	NOUN
ejpam-3426	379	11	.	.	PUNCT
ejpam-3426	380	1	the	the	DET
ejpam-3426	380	2	velocity	velocity	NOUN
ejpam-3426	380	3	components	component	NOUN
ejpam-3426	380	4	w(r	w(r	PROPN
ejpam-3426	380	5	,	,	PUNCT
ejpam-3426	380	6	t	t	PROPN
ejpam-3426	380	7	)	)	PUNCT
ejpam-3426	380	8	,	,	PUNCT
ejpam-3426	380	9	v(r	v(r	PROPN
ejpam-3426	380	10	,	,	PUNCT
ejpam-3426	380	11	t	t	PROPN
ejpam-3426	380	12	)	)	PUNCT
ejpam-3426	380	13	and	and	CCONJ
ejpam-3426	380	14	rotational	rotational	ADJ
ejpam-3426	380	15	shear	shear	NOUN
ejpam-3426	380	16	stresses	stress	NOUN
ejpam-3426	380	17	τw(r	τw(r	PROPN
ejpam-3426	380	18	,	,	PUNCT
ejpam-3426	380	19	t	t	PROPN
ejpam-3426	380	20	)	)	PUNCT
ejpam-3426	380	21	are	be	AUX
ejpam-3426	380	22	increasing	increase	VERB
ejpam-3426	380	23	function	function	NOUN
ejpam-3426	380	24	of	of	ADP
ejpam-3426	380	25	time	time	NOUN
ejpam-3426	380	26	t.	t.	PROPN
ejpam-3426	380	27	however	however	ADV
ejpam-3426	380	28	the	the	DET
ejpam-3426	380	29	amplitude	amplitude	NOUN
ejpam-3426	380	30	of	of	ADP
ejpam-3426	380	31	the	the	DET
ejpam-3426	380	32	longitudinal	longitudinal	ADJ
ejpam-3426	380	33	shear	shear	NOUN
ejpam-3426	380	34	stress	stress	NOUN
ejpam-3426	380	35	τv(r	τv(r	PROPN
ejpam-3426	380	36	,	,	PUNCT
ejpam-3426	380	37	t	t	NOUN
ejpam-3426	380	38	)	)	PUNCT
ejpam-3426	380	39	decreases	decrease	NOUN
ejpam-3426	380	40	with	with	ADP
ejpam-3426	380	41	time	time	NOUN
ejpam-3426	380	42	.	.	PUNCT
ejpam-3426	381	1	these	these	DET
ejpam-3426	381	2	numerical	numerical	ADJ
ejpam-3426	381	3	values	value	NOUN
ejpam-3426	381	4	demonstrate	demonstrate	VERB
ejpam-3426	381	5	the	the	DET
ejpam-3426	381	6	influence	influence	NOUN
ejpam-3426	381	7	of	of	ADP
ejpam-3426	381	8	above	above	ADJ
ejpam-3426	381	9	parameter	parameter	NOUN
ejpam-3426	381	10	on	on	ADP
ejpam-3426	381	11	velocity	velocity	NOUN
ejpam-3426	381	12	components	component	NOUN
ejpam-3426	381	13	and	and	CCONJ
ejpam-3426	381	14	shear	shear	NOUN
ejpam-3426	381	15	stresses	stress	VERB
ejpam-3426	381	16	profiles	profile	NOUN
ejpam-3426	381	17	for	for	ADP
ejpam-3426	381	18	the	the	DET
ejpam-3426	381	19	flow	flow	NOUN
ejpam-3426	381	20	generated	generate	VERB
ejpam-3426	381	21	through	through	ADP
ejpam-3426	381	22	the	the	DET
ejpam-3426	381	23	inner	inner	ADJ
ejpam-3426	381	24	cylinder	cylinder	NOUN
ejpam-3426	381	25	that	that	PRON
ejpam-3426	381	26	is	be	AUX
ejpam-3426	381	27	subject	subject	ADJ
ejpam-3426	381	28	to	to	ADP
ejpam-3426	381	29	a	a	DET
ejpam-3426	381	30	rotational	rotational	ADJ
ejpam-3426	381	31	and	and	CCONJ
ejpam-3426	381	32	longitudinal	longitudinal	ADJ
ejpam-3426	381	33	time	time	NOUN
ejpam-3426	381	34	dependent	dependent	ADJ
ejpam-3426	381	35	shear	shear	NOUN
ejpam-3426	381	36	stresses	stress	NOUN
ejpam-3426	381	37	and	and	CCONJ
ejpam-3426	381	38	the	the	DET
ejpam-3426	381	39	outer	outer	ADJ
ejpam-3426	381	40	cylinder	cylinder	NOUN
ejpam-3426	381	41	subject	subject	ADJ
ejpam-3426	381	42	to	to	ADP
ejpam-3426	381	43	a	a	DET
ejpam-3426	381	44	rotational	rotational	ADJ
ejpam-3426	381	45	and	and	CCONJ
ejpam-3426	381	46	longitudinal	longitudinal	ADJ
ejpam-3426	381	47	velocities	velocity	NOUN
ejpam-3426	381	48	along	along	ADP
ejpam-3426	381	49	its	its	PRON
ejpam-3426	381	50	axes	axis	NOUN
ejpam-3426	381	51	.	.	PUNCT
ejpam-3426	382	1	figure	figure	VERB
ejpam-3426	382	2	3	3	NUM
ejpam-3426	382	3	:	:	PUNCT
ejpam-3426	382	4	profiles	profile	NOUN
ejpam-3426	382	5	of	of	ADP
ejpam-3426	382	6	the	the	DET
ejpam-3426	382	7	velocity	velocity	NOUN
ejpam-3426	382	8	field	field	NOUN
ejpam-3426	382	9	components	component	NOUN
ejpam-3426	382	10	for	for	ADP
ejpam-3426	382	11	mhd	mhd	PROPN
ejpam-3426	382	12	second	second	ADJ
ejpam-3426	382	13	grade	grade	NOUN
ejpam-3426	382	14	fluid	fluid	NOUN
ejpam-3426	382	15	with	with	ADP
ejpam-3426	382	16	porous	porous	ADJ
ejpam-3426	382	17	effect	effect	NOUN
ejpam-3426	382	18	w(r	w(r	PROPN
ejpam-3426	382	19	,	,	PUNCT
ejpam-3426	382	20	t	t	PROPN
ejpam-3426	382	21	)	)	PUNCT
ejpam-3426	382	22	,	,	PUNCT
ejpam-3426	382	23	u(r	u(r	PROPN
ejpam-3426	382	24	,	,	PUNCT
ejpam-3426	382	25	t	t	PROPN
ejpam-3426	382	26	)	)	PUNCT
ejpam-3426	382	27	and	and	CCONJ
ejpam-3426	382	28	the	the	DET
ejpam-3426	382	29	shear	shear	NOUN
ejpam-3426	382	30	stresses	stress	NOUN
ejpam-3426	382	31	τw(r	τw(r	PROPN
ejpam-3426	382	32	,	,	PUNCT
ejpam-3426	382	33	t	t	PROPN
ejpam-3426	382	34	)	)	PUNCT
ejpam-3426	382	35	,	,	PUNCT
ejpam-3426	382	36	τv(r	τv(r	NUM
ejpam-3426	382	37	,	,	PUNCT
ejpam-3426	382	38	t	t	PROPN
ejpam-3426	382	39	)	)	PUNCT
ejpam-3426	382	40	given	give	VERB
ejpam-3426	382	41	by	by	ADP
ejpam-3426	382	42	eqs	eqs	PROPN
ejpam-3426	382	43	.	.	PUNCT
ejpam-3426	383	1	(	(	PUNCT
ejpam-3426	383	2	26	26	NUM
ejpam-3426	383	3	)	)	PUNCT
ejpam-3426	383	4	,	,	PUNCT
ejpam-3426	383	5	(	(	PUNCT
ejpam-3426	383	6	27	27	NUM
ejpam-3426	383	7	)	)	PUNCT
ejpam-3426	383	8	,	,	PUNCT
ejpam-3426	383	9	(	(	PUNCT
ejpam-3426	383	10	34	34	NUM
ejpam-3426	383	11	)	)	PUNCT
ejpam-3426	383	12	and	and	CCONJ
ejpam-3426	383	13	(	(	PUNCT
ejpam-3426	383	14	35	35	NUM
ejpam-3426	383	15	)	)	PUNCT
ejpam-3426	383	16	,	,	PUNCT
ejpam-3426	383	17	for	for	ADP
ejpam-3426	383	18	r1	r1	NOUN
ejpam-3426	383	19	=	=	PUNCT
ejpam-3426	383	20	0.1	0.1	NUM
ejpam-3426	383	21	,	,	PUNCT
ejpam-3426	383	22	r2	r2	PROPN
ejpam-3426	383	23	=	=	PUNCT
ejpam-3426	383	24	0.3	0.3	NUM
ejpam-3426	383	25	,	,	PUNCT
ejpam-3426	383	26	f1	f1	NOUN
ejpam-3426	383	27	=	=	SYM
ejpam-3426	383	28	g1	g1	PROPN
ejpam-3426	383	29	=	=	SYM
ejpam-3426	383	30	0.3	0.3	NUM
ejpam-3426	383	31	,	,	PUNCT
ejpam-3426	383	32	f2	f2	PROPN
ejpam-3426	383	33	=	=	SYM
ejpam-3426	383	34	g2	g2	PROPN
ejpam-3426	383	35	=	=	PUNCT
ejpam-3426	383	36	0.2	0.2	NUM
ejpam-3426	383	37	,	,	PUNCT
ejpam-3426	383	38	ν	ν	X
ejpam-3426	383	39	=	=	SYM
ejpam-3426	383	40	0.6355	0.6355	NUM
ejpam-3426	383	41	,	,	PUNCT
ejpam-3426	383	42	µ	µ	X
ejpam-3426	383	43	=	=	SYM
ejpam-3426	383	44	12.26	12.26	NUM
ejpam-3426	383	45	,	,	PUNCT
ejpam-3426	383	46	α	α	NOUN
ejpam-3426	383	47	=	=	NOUN
ejpam-3426	383	48	0.2	0.2	NUM
ejpam-3426	383	49	,	,	PUNCT
ejpam-3426	383	50	m	m	VERB
ejpam-3426	383	51	=	=	NOUN
ejpam-3426	383	52	2	2	NUM
ejpam-3426	383	53	,	,	PUNCT
ejpam-3426	383	54	φ	φ	NOUN
ejpam-3426	383	55	=	=	SYM
ejpam-3426	383	56	2	2	NUM
ejpam-3426	383	57	,	,	PUNCT
ejpam-3426	383	58	p	p	NOUN
ejpam-3426	383	59	=	=	SYM
ejpam-3426	383	60	1	1	NUM
ejpam-3426	383	61	and	and	CCONJ
ejpam-3426	383	62	different	different	ADJ
ejpam-3426	383	63	values	value	NOUN
ejpam-3426	383	64	of	of	ADP
ejpam-3426	383	65	radius	radius	PROPN
ejpam-3426	383	66	r.	r.	PROPN
ejpam-3426	383	67	the	the	DET
ejpam-3426	383	68	influence	influence	NOUN
ejpam-3426	383	69	of	of	ADP
ejpam-3426	383	70	the	the	DET
ejpam-3426	383	71	annular	annular	ADJ
ejpam-3426	383	72	distance	distance	NOUN
ejpam-3426	383	73	form	form	NOUN
ejpam-3426	383	74	r1	r1	PROPN
ejpam-3426	383	75	to	to	ADP
ejpam-3426	383	76	r2	r2	PROPN
ejpam-3426	383	77	is	be	AUX
ejpam-3426	383	78	shown	show	VERB
ejpam-3426	383	79	in	in	ADP
ejpam-3426	383	80	figs	fig	NOUN
ejpam-3426	383	81	.	.	PUNCT
ejpam-3426	384	1	3	3	X
ejpam-3426	384	2	.	.	X
ejpam-3426	384	3	it	it	PRON
ejpam-3426	384	4	is	be	AUX
ejpam-3426	384	5	found	find	VERB
ejpam-3426	384	6	m.	m.	PROPN
ejpam-3426	384	7	jamil	jamil	PROPN
ejpam-3426	384	8	,	,	PUNCT
ejpam-3426	384	9	m.	m.	NOUN
ejpam-3426	384	10	zafarullah	zafarullah	PROPN
ejpam-3426	384	11	/	/	SYM
ejpam-3426	384	12	eur	eur	PROPN
ejpam-3426	384	13	.	.	PUNCT
ejpam-3426	385	1	j.	j.	PROPN
ejpam-3426	385	2	pure	pure	PROPN
ejpam-3426	385	3	appl	appl	PROPN
ejpam-3426	385	4	.	.	PROPN
ejpam-3426	385	5	math	math	PROPN
ejpam-3426	385	6	,	,	PUNCT
ejpam-3426	385	7	12	12	NUM
ejpam-3426	385	8	(	(	PUNCT
ejpam-3426	385	9	3	3	NUM
ejpam-3426	385	10	)	)	PUNCT
ejpam-3426	385	11	(	(	PUNCT
ejpam-3426	385	12	2019	2019	NUM
ejpam-3426	385	13	)	)	PUNCT
ejpam-3426	385	14	,	,	PUNCT
ejpam-3426	385	15	1149	1149	NUM
ejpam-3426	385	16	-	-	SYM
ejpam-3426	385	17	1175	1175	NUM
ejpam-3426	385	18	1167	1167	NUM
ejpam-3426	385	19	that	that	PRON
ejpam-3426	385	20	rotational	rotational	ADJ
ejpam-3426	385	21	pair	pair	NOUN
ejpam-3426	385	22	w(r	w(r	PROPN
ejpam-3426	385	23	,	,	PUNCT
ejpam-3426	385	24	t	t	PROPN
ejpam-3426	385	25	)	)	PUNCT
ejpam-3426	385	26	,	,	PUNCT
ejpam-3426	385	27	τw(r	τw(r	X
ejpam-3426	385	28	,	,	PUNCT
ejpam-3426	385	29	t	t	PROPN
ejpam-3426	385	30	)	)	PUNCT
ejpam-3426	385	31	are	be	AUX
ejpam-3426	385	32	increases	increase	NOUN
ejpam-3426	385	33	and	and	CCONJ
ejpam-3426	385	34	longitudinal	longitudinal	ADJ
ejpam-3426	385	35	pair	pair	NOUN
ejpam-3426	385	36	v(r	v(r	PROPN
ejpam-3426	385	37	,	,	PUNCT
ejpam-3426	385	38	t	t	PROPN
ejpam-3426	385	39	)	)	PUNCT
ejpam-3426	385	40	,	,	PUNCT
ejpam-3426	385	41	τv(r	τv(r	NUM
ejpam-3426	385	42	,	,	PUNCT
ejpam-3426	385	43	t	t	PROPN
ejpam-3426	385	44	)	)	PUNCT
ejpam-3426	385	45	decreases	decrease	NOUN
ejpam-3426	385	46	along	along	ADP
ejpam-3426	385	47	the	the	DET
ejpam-3426	385	48	annular	annular	ADJ
ejpam-3426	385	49	distance	distance	NOUN
ejpam-3426	385	50	.	.	PUNCT
ejpam-3426	386	1	these	these	DET
ejpam-3426	386	2	diagrams	diagram	NOUN
ejpam-3426	386	3	of	of	ADP
ejpam-3426	386	4	the	the	DET
ejpam-3426	386	5	velocity	velocity	NOUN
ejpam-3426	386	6	field	field	NOUN
ejpam-3426	386	7	components	component	NOUN
ejpam-3426	386	8	w(r	w(r	PROPN
ejpam-3426	386	9	,	,	PUNCT
ejpam-3426	386	10	t	t	PROPN
ejpam-3426	386	11	)	)	PUNCT
ejpam-3426	386	12	,	,	PUNCT
ejpam-3426	386	13	v(r	v(r	PROPN
ejpam-3426	386	14	,	,	PUNCT
ejpam-3426	386	15	t	t	PROPN
ejpam-3426	386	16	)	)	PUNCT
ejpam-3426	386	17	and	and	CCONJ
ejpam-3426	386	18	the	the	DET
ejpam-3426	386	19	shear	shear	NOUN
ejpam-3426	386	20	stress	stress	NOUN
ejpam-3426	386	21	τw(r	τw(r	PROPN
ejpam-3426	386	22	,	,	PUNCT
ejpam-3426	386	23	t	t	PROPN
ejpam-3426	386	24	)	)	PUNCT
ejpam-3426	386	25	,	,	PUNCT
ejpam-3426	386	26	τv(r	τv(r	NUM
ejpam-3426	386	27	,	,	PUNCT
ejpam-3426	386	28	t	t	PROPN
ejpam-3426	386	29	)	)	PUNCT
ejpam-3426	386	30	were	be	AUX
ejpam-3426	386	31	presented	present	VERB
ejpam-3426	386	32	against	against	ADP
ejpam-3426	386	33	r	r	NOUN
ejpam-3426	386	34	for	for	ADP
ejpam-3426	386	35	different	different	ADJ
ejpam-3426	386	36	values	value	NOUN
ejpam-3426	386	37	of	of	ADP
ejpam-3426	386	38	t	t	PROPN
ejpam-3426	386	39	and	and	CCONJ
ejpam-3426	386	40	of	of	ADP
ejpam-3426	386	41	the	the	DET
ejpam-3426	386	42	above	above	ADJ
ejpam-3426	386	43	mentioned	mention	VERB
ejpam-3426	386	44	parameter	parameter	NOUN
ejpam-3426	386	45	.	.	PUNCT
ejpam-3426	387	1	all	all	DET
ejpam-3426	387	2	these	these	DET
ejpam-3426	387	3	comments	comment	NOUN
ejpam-3426	387	4	are	be	AUX
ejpam-3426	387	5	demonstrated	demonstrate	VERB
ejpam-3426	387	6	through	through	ADP
ejpam-3426	387	7	absolute	absolute	ADJ
ejpam-3426	387	8	sense	sense	NOUN
ejpam-3426	387	9	where	where	SCONJ
ejpam-3426	387	10	in	in	ADP
ejpam-3426	387	11	the	the	DET
ejpam-3426	387	12	diagrams	diagram	NOUN
ejpam-3426	387	13	negative	negative	ADJ
ejpam-3426	387	14	values	value	NOUN
ejpam-3426	387	15	are	be	AUX
ejpam-3426	387	16	appeared	appear	VERB
ejpam-3426	387	17	.	.	PUNCT
ejpam-3426	388	1	figure	figure	VERB
ejpam-3426	388	2	4	4	NUM
ejpam-3426	388	3	:	:	PUNCT
ejpam-3426	388	4	profiles	profile	NOUN
ejpam-3426	388	5	of	of	ADP
ejpam-3426	388	6	the	the	DET
ejpam-3426	388	7	velocity	velocity	NOUN
ejpam-3426	388	8	field	field	NOUN
ejpam-3426	388	9	components	component	NOUN
ejpam-3426	388	10	for	for	ADP
ejpam-3426	388	11	mhd	mhd	PROPN
ejpam-3426	388	12	second	second	ADJ
ejpam-3426	388	13	grade	grade	NOUN
ejpam-3426	388	14	fluid	fluid	NOUN
ejpam-3426	388	15	with	with	ADP
ejpam-3426	388	16	porous	porous	ADJ
ejpam-3426	388	17	effect	effect	NOUN
ejpam-3426	388	18	w(r	w(r	PROPN
ejpam-3426	388	19	,	,	PUNCT
ejpam-3426	388	20	t	t	PROPN
ejpam-3426	388	21	)	)	PUNCT
ejpam-3426	388	22	,	,	PUNCT
ejpam-3426	388	23	u(r	u(r	PROPN
ejpam-3426	388	24	,	,	PUNCT
ejpam-3426	388	25	t	t	PROPN
ejpam-3426	388	26	)	)	PUNCT
ejpam-3426	388	27	and	and	CCONJ
ejpam-3426	388	28	the	the	DET
ejpam-3426	388	29	shear	shear	NOUN
ejpam-3426	388	30	stresses	stress	NOUN
ejpam-3426	388	31	τw(r	τw(r	PROPN
ejpam-3426	388	32	,	,	PUNCT
ejpam-3426	388	33	t	t	PROPN
ejpam-3426	388	34	)	)	PUNCT
ejpam-3426	388	35	,	,	PUNCT
ejpam-3426	388	36	τv(r	τv(r	NUM
ejpam-3426	388	37	,	,	PUNCT
ejpam-3426	388	38	t	t	PROPN
ejpam-3426	388	39	)	)	PUNCT
ejpam-3426	388	40	given	give	VERB
ejpam-3426	388	41	by	by	ADP
ejpam-3426	388	42	eqs	eqs	PROPN
ejpam-3426	388	43	.	.	PUNCT
ejpam-3426	389	1	(	(	PUNCT
ejpam-3426	389	2	26	26	NUM
ejpam-3426	389	3	)	)	PUNCT
ejpam-3426	389	4	,	,	PUNCT
ejpam-3426	389	5	(	(	PUNCT
ejpam-3426	389	6	27	27	NUM
ejpam-3426	389	7	)	)	PUNCT
ejpam-3426	389	8	,	,	PUNCT
ejpam-3426	389	9	(	(	PUNCT
ejpam-3426	389	10	34	34	NUM
ejpam-3426	389	11	)	)	PUNCT
ejpam-3426	389	12	and	and	CCONJ
ejpam-3426	389	13	(	(	PUNCT
ejpam-3426	389	14	35	35	NUM
ejpam-3426	389	15	)	)	PUNCT
ejpam-3426	389	16	,	,	PUNCT
ejpam-3426	389	17	for	for	ADP
ejpam-3426	389	18	r1	r1	NOUN
ejpam-3426	389	19	=	=	PUNCT
ejpam-3426	389	20	0.1	0.1	NUM
ejpam-3426	389	21	,	,	PUNCT
ejpam-3426	389	22	r2	r2	PROPN
ejpam-3426	389	23	=	=	PUNCT
ejpam-3426	389	24	0.3	0.3	NUM
ejpam-3426	389	25	,	,	PUNCT
ejpam-3426	389	26	f1	f1	NOUN
ejpam-3426	389	27	=	=	SYM
ejpam-3426	389	28	g1	g1	PROPN
ejpam-3426	389	29	=	=	SYM
ejpam-3426	389	30	0.3	0.3	NUM
ejpam-3426	389	31	,	,	PUNCT
ejpam-3426	389	32	f2	f2	PROPN
ejpam-3426	389	33	=	=	SYM
ejpam-3426	389	34	g2	g2	PROPN
ejpam-3426	389	35	=	=	PUNCT
ejpam-3426	389	36	0.2	0.2	NUM
ejpam-3426	389	37	,	,	PUNCT
ejpam-3426	389	38	ν	ν	X
ejpam-3426	389	39	=	=	SYM
ejpam-3426	389	40	0.6355	0.6355	NUM
ejpam-3426	389	41	,	,	PUNCT
ejpam-3426	389	42	µ	µ	X
ejpam-3426	389	43	=	=	SYM
ejpam-3426	389	44	12.26	12.26	NUM
ejpam-3426	389	45	,	,	PUNCT
ejpam-3426	389	46	m	m	VERB
ejpam-3426	389	47	=	=	NOUN
ejpam-3426	389	48	2	2	NUM
ejpam-3426	389	49	,	,	PUNCT
ejpam-3426	389	50	φ	φ	NOUN
ejpam-3426	389	51	=	=	SYM
ejpam-3426	389	52	2	2	NUM
ejpam-3426	389	53	,	,	PUNCT
ejpam-3426	389	54	p	p	NOUN
ejpam-3426	389	55	=	=	NOUN
ejpam-3426	389	56	1	1	NUM
ejpam-3426	389	57	,	,	PUNCT
ejpam-3426	389	58	t	t	NOUN
ejpam-3426	389	59	=	=	SYM
ejpam-3426	389	60	1s	1	NOUN
ejpam-3426	389	61	and	and	CCONJ
ejpam-3426	389	62	different	different	ADJ
ejpam-3426	389	63	values	value	NOUN
ejpam-3426	389	64	of	of	ADP
ejpam-3426	389	65	material	material	NOUN
ejpam-3426	389	66	parameter	parameter	NOUN
ejpam-3426	389	67	α	α	PROPN
ejpam-3426	389	68	.	.	PUNCT
ejpam-3426	390	1	figs	fig	NOUN
ejpam-3426	390	2	.	.	PUNCT
ejpam-3426	391	1	4	4	NUM
ejpam-3426	391	2	are	be	AUX
ejpam-3426	391	3	plotted	plot	VERB
ejpam-3426	391	4	to	to	PART
ejpam-3426	391	5	show	show	VERB
ejpam-3426	391	6	the	the	DET
ejpam-3426	391	7	effects	effect	NOUN
ejpam-3426	391	8	of	of	ADP
ejpam-3426	391	9	material	material	ADJ
ejpam-3426	391	10	parameter	parameter	NOUN
ejpam-3426	391	11	on	on	ADP
ejpam-3426	391	12	velocities	velocity	NOUN
ejpam-3426	391	13	and	and	CCONJ
ejpam-3426	391	14	shear	shear	NOUN
ejpam-3426	391	15	m.	m.	PROPN
ejpam-3426	391	16	jamil	jamil	PROPN
ejpam-3426	391	17	,	,	PUNCT
ejpam-3426	391	18	m.	m.	NOUN
ejpam-3426	391	19	zafarullah	zafarullah	PROPN
ejpam-3426	391	20	/	/	SYM
ejpam-3426	391	21	eur	eur	PROPN
ejpam-3426	391	22	.	.	PUNCT
ejpam-3426	392	1	j.	j.	PROPN
ejpam-3426	392	2	pure	pure	PROPN
ejpam-3426	392	3	appl	appl	PROPN
ejpam-3426	392	4	.	.	PROPN
ejpam-3426	392	5	math	math	PROPN
ejpam-3426	392	6	,	,	PUNCT
ejpam-3426	392	7	12	12	NUM
ejpam-3426	392	8	(	(	PUNCT
ejpam-3426	392	9	3	3	NUM
ejpam-3426	392	10	)	)	PUNCT
ejpam-3426	392	11	(	(	PUNCT
ejpam-3426	392	12	2019	2019	NUM
ejpam-3426	392	13	)	)	PUNCT
ejpam-3426	392	14	,	,	PUNCT
ejpam-3426	392	15	1149	1149	NUM
ejpam-3426	392	16	-	-	SYM
ejpam-3426	392	17	1175	1175	NUM
ejpam-3426	392	18	1168	1168	NUM
ejpam-3426	392	19	stresses	stress	VERB
ejpam-3426	392	20	profiles	profile	NOUN
ejpam-3426	392	21	.	.	PUNCT
ejpam-3426	393	1	it	it	PRON
ejpam-3426	393	2	can	can	AUX
ejpam-3426	393	3	be	be	AUX
ejpam-3426	393	4	observed	observe	VERB
ejpam-3426	393	5	that	that	SCONJ
ejpam-3426	393	6	both	both	PRON
ejpam-3426	393	7	velocity	velocity	NOUN
ejpam-3426	393	8	components	component	NOUN
ejpam-3426	393	9	and	and	CCONJ
ejpam-3426	393	10	rotational	rotational	ADJ
ejpam-3426	393	11	shear	shear	NOUN
ejpam-3426	393	12	stress	stress	NOUN
ejpam-3426	393	13	are	be	AUX
ejpam-3426	393	14	decreasing	decrease	VERB
ejpam-3426	393	15	function	function	NOUN
ejpam-3426	393	16	and	and	CCONJ
ejpam-3426	393	17	longitudinal	longitudinal	ADJ
ejpam-3426	393	18	shear	shear	NOUN
ejpam-3426	393	19	stress	stress	NOUN
ejpam-3426	393	20	is	be	AUX
ejpam-3426	393	21	decreasing	decrease	VERB
ejpam-3426	393	22	function	function	NOUN
ejpam-3426	393	23	of	of	ADP
ejpam-3426	393	24	the	the	DET
ejpam-3426	393	25	parameter	parameter	NOUN
ejpam-3426	393	26	α	α	PROPN
ejpam-3426	393	27	when	when	SCONJ
ejpam-3426	393	28	other	other	ADJ
ejpam-3426	393	29	parameter	parameter	NOUN
ejpam-3426	393	30	are	be	AUX
ejpam-3426	393	31	fixed	fix	VERB
ejpam-3426	393	32	.	.	PUNCT
ejpam-3426	394	1	viscous	viscous	ADJ
ejpam-3426	394	2	effects	effect	NOUN
ejpam-3426	394	3	are	be	AUX
ejpam-3426	394	4	important	important	ADJ
ejpam-3426	394	5	for	for	ADP
ejpam-3426	394	6	both	both	CCONJ
ejpam-3426	394	7	newtonian	newtonian	ADJ
ejpam-3426	394	8	and	and	CCONJ
ejpam-3426	394	9	non	non	ADJ
ejpam-3426	394	10	-	-	ADJ
ejpam-3426	394	11	newtonian	newtonian	ADJ
ejpam-3426	394	12	fluids	fluid	NOUN
ejpam-3426	394	13	.	.	PUNCT
ejpam-3426	395	1	in	in	ADP
ejpam-3426	395	2	figs	fig	NOUN
ejpam-3426	395	3	.	.	PUNCT
ejpam-3426	396	1	5	5	NUM
ejpam-3426	396	2	,	,	PUNCT
ejpam-3426	396	3	the	the	DET
ejpam-3426	396	4	velocities	velocity	NOUN
ejpam-3426	396	5	and	and	CCONJ
ejpam-3426	396	6	shear	shear	NOUN
ejpam-3426	396	7	stresses	stress	VERB
ejpam-3426	396	8	profiles	profile	NOUN
ejpam-3426	396	9	are	be	AUX
ejpam-3426	396	10	depicted	depict	VERB
ejpam-3426	396	11	for	for	ADP
ejpam-3426	396	12	different	different	ADJ
ejpam-3426	396	13	values	value	NOUN
ejpam-3426	396	14	of	of	ADP
ejpam-3426	396	15	the	the	DET
ejpam-3426	396	16	kinematic	kinematic	ADJ
ejpam-3426	396	17	viscosity	viscosity	NOUN
ejpam-3426	396	18	ν	ν	NOUN
ejpam-3426	396	19	.	.	PUNCT
ejpam-3426	397	1	here	here	ADV
ejpam-3426	397	2	the	the	DET
ejpam-3426	397	3	values	value	NOUN
ejpam-3426	397	4	of	of	ADP
ejpam-3426	397	5	kinematic	kinematic	ADJ
ejpam-3426	397	6	viscosity	viscosity	NOUN
ejpam-3426	397	7	are	be	AUX
ejpam-3426	397	8	chosen	choose	VERB
ejpam-3426	397	9	0.3	0.3	NUM
ejpam-3426	397	10	,	,	PUNCT
ejpam-3426	397	11	0.5	0.5	NUM
ejpam-3426	397	12	and	and	CCONJ
ejpam-3426	397	13	0.9	0.9	NUM
ejpam-3426	397	14	.	.	PUNCT
ejpam-3426	398	1	it	it	PRON
ejpam-3426	398	2	is	be	AUX
ejpam-3426	398	3	observed	observe	VERB
ejpam-3426	398	4	that	that	SCONJ
ejpam-3426	398	5	velocity	velocity	NOUN
ejpam-3426	398	6	components	component	NOUN
ejpam-3426	398	7	and	and	CCONJ
ejpam-3426	398	8	shear	shear	NOUN
ejpam-3426	398	9	stresses	stress	NOUN
ejpam-3426	398	10	are	be	AUX
ejpam-3426	398	11	decay	decay	VERB
ejpam-3426	398	12	with	with	ADP
ejpam-3426	398	13	enhancing	enhance	VERB
ejpam-3426	398	14	the	the	DET
ejpam-3426	398	15	viscous	viscous	ADJ
ejpam-3426	398	16	effects	effect	NOUN
ejpam-3426	398	17	,	,	PUNCT
ejpam-3426	398	18	which	which	PRON
ejpam-3426	398	19	is	be	AUX
ejpam-3426	398	20	natural	natural	ADJ
ejpam-3426	398	21	phonomania	phonomania	NOUN
ejpam-3426	398	22	.	.	PUNCT
ejpam-3426	399	1	figure	figure	VERB
ejpam-3426	399	2	5	5	NUM
ejpam-3426	399	3	:	:	PUNCT
ejpam-3426	399	4	profiles	profile	NOUN
ejpam-3426	399	5	of	of	ADP
ejpam-3426	399	6	the	the	DET
ejpam-3426	399	7	velocity	velocity	NOUN
ejpam-3426	399	8	field	field	NOUN
ejpam-3426	399	9	components	component	NOUN
ejpam-3426	399	10	for	for	ADP
ejpam-3426	399	11	mhd	mhd	PROPN
ejpam-3426	399	12	second	second	ADJ
ejpam-3426	399	13	grade	grade	NOUN
ejpam-3426	399	14	fluid	fluid	NOUN
ejpam-3426	399	15	with	with	ADP
ejpam-3426	399	16	porous	porous	ADJ
ejpam-3426	399	17	effect	effect	NOUN
ejpam-3426	399	18	w(r	w(r	PROPN
ejpam-3426	399	19	,	,	PUNCT
ejpam-3426	399	20	t	t	PROPN
ejpam-3426	399	21	)	)	PUNCT
ejpam-3426	399	22	,	,	PUNCT
ejpam-3426	399	23	u(r	u(r	PROPN
ejpam-3426	399	24	,	,	PUNCT
ejpam-3426	399	25	t	t	PROPN
ejpam-3426	399	26	)	)	PUNCT
ejpam-3426	399	27	and	and	CCONJ
ejpam-3426	399	28	the	the	DET
ejpam-3426	399	29	shear	shear	NOUN
ejpam-3426	399	30	stresses	stress	NOUN
ejpam-3426	399	31	τw(r	τw(r	PROPN
ejpam-3426	399	32	,	,	PUNCT
ejpam-3426	399	33	t	t	PROPN
ejpam-3426	399	34	)	)	PUNCT
ejpam-3426	399	35	,	,	PUNCT
ejpam-3426	399	36	τv(r	τv(r	NUM
ejpam-3426	399	37	,	,	PUNCT
ejpam-3426	399	38	t	t	PROPN
ejpam-3426	399	39	)	)	PUNCT
ejpam-3426	399	40	given	give	VERB
ejpam-3426	399	41	by	by	ADP
ejpam-3426	399	42	eqs	eqs	PROPN
ejpam-3426	399	43	.	.	PUNCT
ejpam-3426	400	1	(	(	PUNCT
ejpam-3426	400	2	26	26	NUM
ejpam-3426	400	3	)	)	PUNCT
ejpam-3426	400	4	,	,	PUNCT
ejpam-3426	400	5	(	(	PUNCT
ejpam-3426	400	6	27	27	NUM
ejpam-3426	400	7	)	)	PUNCT
ejpam-3426	400	8	,	,	PUNCT
ejpam-3426	400	9	(	(	PUNCT
ejpam-3426	400	10	34	34	NUM
ejpam-3426	400	11	)	)	PUNCT
ejpam-3426	400	12	and	and	CCONJ
ejpam-3426	400	13	(	(	PUNCT
ejpam-3426	400	14	35	35	NUM
ejpam-3426	400	15	)	)	PUNCT
ejpam-3426	400	16	,	,	PUNCT
ejpam-3426	400	17	for	for	ADP
ejpam-3426	400	18	r1	r1	NOUN
ejpam-3426	400	19	=	=	PUNCT
ejpam-3426	400	20	0.1	0.1	NUM
ejpam-3426	400	21	,	,	PUNCT
ejpam-3426	400	22	r2	r2	PROPN
ejpam-3426	400	23	=	=	PUNCT
ejpam-3426	400	24	0.3	0.3	NUM
ejpam-3426	400	25	,	,	PUNCT
ejpam-3426	400	26	f1	f1	NOUN
ejpam-3426	400	27	=	=	SYM
ejpam-3426	400	28	g1	g1	PROPN
ejpam-3426	400	29	=	=	SYM
ejpam-3426	400	30	0.3	0.3	NUM
ejpam-3426	400	31	,	,	PUNCT
ejpam-3426	400	32	f2	f2	PROPN
ejpam-3426	400	33	=	=	SYM
ejpam-3426	400	34	g2	g2	PROPN
ejpam-3426	400	35	=	=	PUNCT
ejpam-3426	400	36	0.2	0.2	NUM
ejpam-3426	400	37	,	,	PUNCT
ejpam-3426	400	38	ρ	ρ	PROPN
ejpam-3426	400	39	=	=	PUNCT
ejpam-3426	400	40	19.292	19.292	NUM
ejpam-3426	400	41	,	,	PUNCT
ejpam-3426	400	42	α	α	NOUN
ejpam-3426	400	43	=	=	NOUN
ejpam-3426	400	44	0.2	0.2	NUM
ejpam-3426	400	45	,	,	PUNCT
ejpam-3426	400	46	m	m	VERB
ejpam-3426	400	47	=	=	NOUN
ejpam-3426	400	48	2	2	NUM
ejpam-3426	400	49	,	,	PUNCT
ejpam-3426	400	50	φ	φ	NOUN
ejpam-3426	400	51	=	=	SYM
ejpam-3426	400	52	2	2	NUM
ejpam-3426	400	53	,	,	PUNCT
ejpam-3426	400	54	p	p	NOUN
ejpam-3426	400	55	=	=	NOUN
ejpam-3426	400	56	1	1	NUM
ejpam-3426	400	57	,	,	PUNCT
ejpam-3426	400	58	t	t	NOUN
ejpam-3426	400	59	=	=	PUNCT
ejpam-3426	400	60	0.2s	0.2s	NUM
ejpam-3426	400	61	and	and	CCONJ
ejpam-3426	400	62	different	different	ADJ
ejpam-3426	400	63	values	value	NOUN
ejpam-3426	400	64	of	of	ADP
ejpam-3426	400	65	kinematic	kinematic	ADJ
ejpam-3426	400	66	viscosity	viscosity	NOUN
ejpam-3426	400	67	ν	ν	PROPN
ejpam-3426	400	68	.	.	PROPN
ejpam-3426	400	69	m.	m.	PROPN
ejpam-3426	400	70	jamil	jamil	PROPN
ejpam-3426	400	71	,	,	PUNCT
ejpam-3426	400	72	m.	m.	NOUN
ejpam-3426	400	73	zafarullah	zafarullah	PROPN
ejpam-3426	400	74	/	/	SYM
ejpam-3426	400	75	eur	eur	PROPN
ejpam-3426	400	76	.	.	PUNCT
ejpam-3426	401	1	j.	j.	PROPN
ejpam-3426	401	2	pure	pure	PROPN
ejpam-3426	401	3	appl	appl	PROPN
ejpam-3426	401	4	.	.	PROPN
ejpam-3426	401	5	math	math	PROPN
ejpam-3426	401	6	,	,	PUNCT
ejpam-3426	401	7	12	12	NUM
ejpam-3426	401	8	(	(	PUNCT
ejpam-3426	401	9	3	3	NUM
ejpam-3426	401	10	)	)	PUNCT
ejpam-3426	401	11	(	(	PUNCT
ejpam-3426	401	12	2019	2019	NUM
ejpam-3426	401	13	)	)	PUNCT
ejpam-3426	401	14	,	,	PUNCT
ejpam-3426	401	15	1149	1149	NUM
ejpam-3426	401	16	-	-	SYM
ejpam-3426	401	17	1175	1175	NUM
ejpam-3426	401	18	1169	1169	NUM
ejpam-3426	401	19	figs	fig	NOUN
ejpam-3426	401	20	.	.	PUNCT
ejpam-3426	402	1	6	6	NUM
ejpam-3426	402	2	present	present	VERB
ejpam-3426	402	3	the	the	DET
ejpam-3426	402	4	nature	nature	NOUN
ejpam-3426	402	5	of	of	ADP
ejpam-3426	402	6	velocities	velocity	NOUN
ejpam-3426	402	7	and	and	CCONJ
ejpam-3426	402	8	shear	shear	NOUN
ejpam-3426	402	9	stresses	stress	VERB
ejpam-3426	402	10	profiles	profile	NOUN
ejpam-3426	402	11	respectively	respectively	ADV
ejpam-3426	402	12	for	for	ADP
ejpam-3426	402	13	the	the	DET
ejpam-3426	402	14	variation	variation	NOUN
ejpam-3426	402	15	of	of	ADP
ejpam-3426	402	16	magnetic	magnetic	ADJ
ejpam-3426	402	17	parameter	parameter	NOUN
ejpam-3426	402	18	m	m	PROPN
ejpam-3426	402	19	.	.	PUNCT
ejpam-3426	403	1	the	the	DET
ejpam-3426	403	2	range	range	NOUN
ejpam-3426	403	3	of	of	ADP
ejpam-3426	403	4	the	the	DET
ejpam-3426	403	5	magnetic	magnetic	ADJ
ejpam-3426	403	6	parameter	parameter	NOUN
ejpam-3426	403	7	is	be	AUX
ejpam-3426	403	8	taken	take	VERB
ejpam-3426	403	9	from	from	ADP
ejpam-3426	403	10	0.1	0.1	NUM
ejpam-3426	403	11	to	to	ADP
ejpam-3426	403	12	12	12	NUM
ejpam-3426	403	13	.	.	PUNCT
ejpam-3426	404	1	it	it	PRON
ejpam-3426	404	2	come	come	VERB
ejpam-3426	404	3	to	to	ADP
ejpam-3426	404	4	the	the	DET
ejpam-3426	404	5	observation	observation	NOUN
ejpam-3426	404	6	that	that	SCONJ
ejpam-3426	404	7	the	the	PRON
ejpam-3426	404	8	higher	high	ADJ
ejpam-3426	404	9	the	the	DET
ejpam-3426	404	10	value	value	NOUN
ejpam-3426	404	11	of	of	ADP
ejpam-3426	404	12	magnetic	magnetic	ADJ
ejpam-3426	404	13	parameter	parameter	NOUN
ejpam-3426	404	14	rise	rise	VERB
ejpam-3426	404	15	the	the	DET
ejpam-3426	404	16	velocities	velocity	NOUN
ejpam-3426	404	17	shear	shear	NOUN
ejpam-3426	404	18	stresses	stress	VERB
ejpam-3426	404	19	values	value	NOUN
ejpam-3426	404	20	.	.	PUNCT
ejpam-3426	405	1	figure	figure	VERB
ejpam-3426	405	2	6	6	NUM
ejpam-3426	405	3	:	:	PUNCT
ejpam-3426	405	4	profiles	profile	NOUN
ejpam-3426	405	5	of	of	ADP
ejpam-3426	405	6	the	the	DET
ejpam-3426	405	7	velocity	velocity	NOUN
ejpam-3426	405	8	field	field	NOUN
ejpam-3426	405	9	components	component	NOUN
ejpam-3426	405	10	for	for	ADP
ejpam-3426	405	11	mhd	mhd	PROPN
ejpam-3426	405	12	second	second	ADJ
ejpam-3426	405	13	grade	grade	NOUN
ejpam-3426	405	14	fluid	fluid	NOUN
ejpam-3426	405	15	with	with	ADP
ejpam-3426	405	16	porous	porous	ADJ
ejpam-3426	405	17	effect	effect	NOUN
ejpam-3426	405	18	w(r	w(r	PROPN
ejpam-3426	405	19	,	,	PUNCT
ejpam-3426	405	20	t	t	PROPN
ejpam-3426	405	21	)	)	PUNCT
ejpam-3426	405	22	,	,	PUNCT
ejpam-3426	405	23	u(r	u(r	PROPN
ejpam-3426	405	24	,	,	PUNCT
ejpam-3426	405	25	t	t	PROPN
ejpam-3426	405	26	)	)	PUNCT
ejpam-3426	405	27	and	and	CCONJ
ejpam-3426	405	28	the	the	DET
ejpam-3426	405	29	shear	shear	NOUN
ejpam-3426	405	30	stresses	stress	NOUN
ejpam-3426	405	31	τw(r	τw(r	PROPN
ejpam-3426	405	32	,	,	PUNCT
ejpam-3426	405	33	t	t	PROPN
ejpam-3426	405	34	)	)	PUNCT
ejpam-3426	405	35	,	,	PUNCT
ejpam-3426	405	36	τv(r	τv(r	NUM
ejpam-3426	405	37	,	,	PUNCT
ejpam-3426	405	38	t	t	PROPN
ejpam-3426	405	39	)	)	PUNCT
ejpam-3426	405	40	given	give	VERB
ejpam-3426	405	41	by	by	ADP
ejpam-3426	405	42	eqs	eqs	PROPN
ejpam-3426	405	43	.	.	PUNCT
ejpam-3426	406	1	(	(	PUNCT
ejpam-3426	406	2	26	26	NUM
ejpam-3426	406	3	)	)	PUNCT
ejpam-3426	406	4	,	,	PUNCT
ejpam-3426	406	5	(	(	PUNCT
ejpam-3426	406	6	27	27	NUM
ejpam-3426	406	7	)	)	PUNCT
ejpam-3426	406	8	,	,	PUNCT
ejpam-3426	406	9	(	(	PUNCT
ejpam-3426	406	10	34	34	NUM
ejpam-3426	406	11	)	)	PUNCT
ejpam-3426	406	12	and	and	CCONJ
ejpam-3426	406	13	(	(	PUNCT
ejpam-3426	406	14	35	35	NUM
ejpam-3426	406	15	)	)	PUNCT
ejpam-3426	406	16	,	,	PUNCT
ejpam-3426	406	17	for	for	ADP
ejpam-3426	406	18	r1	r1	NOUN
ejpam-3426	406	19	=	=	PUNCT
ejpam-3426	406	20	0.1	0.1	NUM
ejpam-3426	406	21	,	,	PUNCT
ejpam-3426	406	22	r2	r2	PROPN
ejpam-3426	406	23	=	=	PUNCT
ejpam-3426	406	24	0.3	0.3	NUM
ejpam-3426	406	25	,	,	PUNCT
ejpam-3426	406	26	f1	f1	NOUN
ejpam-3426	406	27	=	=	SYM
ejpam-3426	406	28	g1	g1	PROPN
ejpam-3426	406	29	=	=	SYM
ejpam-3426	406	30	0.3	0.3	NUM
ejpam-3426	406	31	,	,	PUNCT
ejpam-3426	406	32	f2	f2	PROPN
ejpam-3426	406	33	=	=	SYM
ejpam-3426	406	34	g2	g2	PROPN
ejpam-3426	406	35	=	=	PUNCT
ejpam-3426	406	36	0.2	0.2	NUM
ejpam-3426	406	37	,	,	PUNCT
ejpam-3426	406	38	ν	ν	X
ejpam-3426	406	39	=	=	SYM
ejpam-3426	406	40	0.6355	0.6355	NUM
ejpam-3426	406	41	,	,	PUNCT
ejpam-3426	406	42	µ	µ	X
ejpam-3426	406	43	=	=	SYM
ejpam-3426	406	44	12.26	12.26	NUM
ejpam-3426	406	45	,	,	PUNCT
ejpam-3426	406	46	α	α	NOUN
ejpam-3426	406	47	=	=	SYM
ejpam-3426	406	48	0.2	0.2	NUM
ejpam-3426	406	49	,	,	PUNCT
ejpam-3426	406	50	φ	φ	NOUN
ejpam-3426	406	51	=	=	SYM
ejpam-3426	406	52	2	2	NUM
ejpam-3426	406	53	,	,	PUNCT
ejpam-3426	406	54	p	p	NOUN
ejpam-3426	406	55	=	=	NOUN
ejpam-3426	406	56	1	1	NUM
ejpam-3426	406	57	,	,	PUNCT
ejpam-3426	406	58	t	t	NOUN
ejpam-3426	406	59	=	=	SYM
ejpam-3426	406	60	0.5s	0.5s	NUM
ejpam-3426	406	61	and	and	CCONJ
ejpam-3426	406	62	different	different	ADJ
ejpam-3426	406	63	values	value	NOUN
ejpam-3426	406	64	of	of	ADP
ejpam-3426	406	65	magnetic	magnetic	ADJ
ejpam-3426	406	66	parameter	parameter	NOUN
ejpam-3426	406	67	m	m	PROPN
ejpam-3426	406	68	.	.	PUNCT
ejpam-3426	407	1	figs	fig	NOUN
ejpam-3426	407	2	.	.	PUNCT
ejpam-3426	408	1	7	7	NUM
ejpam-3426	408	2	illustrates	illustrate	VERB
ejpam-3426	408	3	the	the	DET
ejpam-3426	408	4	effects	effect	NOUN
ejpam-3426	408	5	of	of	ADP
ejpam-3426	408	6	the	the	DET
ejpam-3426	408	7	porosity	porosity	NOUN
ejpam-3426	408	8	parameter	parameter	NOUN
ejpam-3426	408	9	φ	φ	PROPN
ejpam-3426	408	10	on	on	ADP
ejpam-3426	408	11	fluid	fluid	ADJ
ejpam-3426	408	12	motion	motion	NOUN
ejpam-3426	408	13	.	.	PUNCT
ejpam-3426	409	1	these	these	DET
ejpam-3426	409	2	figures	figure	NOUN
ejpam-3426	409	3	show	show	VERB
ejpam-3426	409	4	the	the	DET
ejpam-3426	409	5	variations	variation	NOUN
ejpam-3426	409	6	of	of	ADP
ejpam-3426	409	7	velocities	velocity	NOUN
ejpam-3426	409	8	as	as	ADV
ejpam-3426	409	9	well	well	ADV
ejpam-3426	409	10	as	as	ADP
ejpam-3426	409	11	shear	shear	NOUN
ejpam-3426	409	12	stresses	stress	VERB
ejpam-3426	409	13	profiles	profile	NOUN
ejpam-3426	409	14	for	for	ADP
ejpam-3426	409	15	increasing	increase	VERB
ejpam-3426	409	16	values	value	NOUN
ejpam-3426	409	17	of	of	ADP
ejpam-3426	409	18	porosity	porosity	NOUN
ejpam-3426	409	19	parameter	parameter	NOUN
ejpam-3426	409	20	φ	φ	PROPN
ejpam-3426	409	21	when	when	SCONJ
ejpam-3426	409	22	other	other	ADJ
ejpam-3426	409	23	parameters	parameter	NOUN
ejpam-3426	409	24	are	be	AUX
ejpam-3426	409	25	kept	keep	VERB
ejpam-3426	409	26	constant	constant	ADJ
ejpam-3426	409	27	.	.	PUNCT
ejpam-3426	410	1	m.	m.	PROPN
ejpam-3426	410	2	jamil	jamil	PROPN
ejpam-3426	410	3	,	,	PUNCT
ejpam-3426	410	4	m.	m.	NOUN
ejpam-3426	410	5	zafarullah	zafarullah	PROPN
ejpam-3426	410	6	/	/	SYM
ejpam-3426	410	7	eur	eur	PROPN
ejpam-3426	410	8	.	.	PUNCT
ejpam-3426	411	1	j.	j.	PROPN
ejpam-3426	411	2	pure	pure	PROPN
ejpam-3426	411	3	appl	appl	PROPN
ejpam-3426	411	4	.	.	PROPN
ejpam-3426	411	5	math	math	PROPN
ejpam-3426	411	6	,	,	PUNCT
ejpam-3426	411	7	12	12	NUM
ejpam-3426	411	8	(	(	PUNCT
ejpam-3426	411	9	3	3	NUM
ejpam-3426	411	10	)	)	PUNCT
ejpam-3426	411	11	(	(	PUNCT
ejpam-3426	411	12	2019	2019	NUM
ejpam-3426	411	13	)	)	PUNCT
ejpam-3426	411	14	,	,	PUNCT
ejpam-3426	411	15	1149	1149	NUM
ejpam-3426	411	16	-	-	SYM
ejpam-3426	411	17	1175	1175	NUM
ejpam-3426	411	18	1170	1170	NUM
ejpam-3426	411	19	figs	fig	NOUN
ejpam-3426	411	20	.	.	PUNCT
ejpam-3426	412	1	7	7	NUM
ejpam-3426	412	2	(	(	PUNCT
ejpam-3426	412	3	a	a	NOUN
ejpam-3426	412	4	)	)	PUNCT
ejpam-3426	412	5	,	,	PUNCT
ejpam-3426	412	6	(	(	PUNCT
ejpam-3426	412	7	b	b	X
ejpam-3426	412	8	)	)	PUNCT
ejpam-3426	412	9	clearly	clearly	ADV
ejpam-3426	412	10	indicates	indicate	VERB
ejpam-3426	412	11	that	that	SCONJ
ejpam-3426	412	12	porosity	porosity	NOUN
ejpam-3426	412	13	parameter	parameter	NOUN
ejpam-3426	412	14	have	have	VERB
ejpam-3426	412	15	neglige	neglige	ADJ
ejpam-3426	412	16	effects	effect	NOUN
ejpam-3426	412	17	on	on	ADP
ejpam-3426	412	18	velocity	velocity	NOUN
ejpam-3426	412	19	filed	file	VERB
ejpam-3426	412	20	components	component	NOUN
ejpam-3426	412	21	.	.	PUNCT
ejpam-3426	413	1	however	however	ADV
ejpam-3426	413	2	share	share	NOUN
ejpam-3426	413	3	stresses	stress	NOUN
ejpam-3426	413	4	have	have	VERB
ejpam-3426	413	5	strong	strong	ADJ
ejpam-3426	413	6	influence	influence	NOUN
ejpam-3426	413	7	on	on	ADP
ejpam-3426	413	8	the	the	DET
ejpam-3426	413	9	shear	shear	NOUN
ejpam-3426	413	10	stresses	stress	VERB
ejpam-3426	413	11	profiles	profile	NOUN
ejpam-3426	413	12	.	.	PUNCT
ejpam-3426	414	1	the	the	DET
ejpam-3426	414	2	rotational	rotational	ADJ
ejpam-3426	414	3	shear	shear	NOUN
ejpam-3426	414	4	stress	stress	NOUN
ejpam-3426	414	5	τw(r	τw(r	PROPN
ejpam-3426	414	6	,	,	PUNCT
ejpam-3426	414	7	t	t	NOUN
ejpam-3426	414	8	)	)	PUNCT
ejpam-3426	414	9	decreases	decrease	NOUN
ejpam-3426	414	10	and	and	CCONJ
ejpam-3426	414	11	longitudinal	longitudinal	ADJ
ejpam-3426	414	12	shear	shear	NOUN
ejpam-3426	414	13	stress	stress	NOUN
ejpam-3426	414	14	τv(r	τv(r	PROPN
ejpam-3426	414	15	,	,	PUNCT
ejpam-3426	414	16	t	t	NOUN
ejpam-3426	414	17	)	)	PUNCT
ejpam-3426	414	18	decreases	decrease	VERB
ejpam-3426	414	19	with	with	ADP
ejpam-3426	414	20	the	the	DET
ejpam-3426	414	21	strength	strength	NOUN
ejpam-3426	414	22	of	of	ADP
ejpam-3426	414	23	porosity	porosity	NOUN
ejpam-3426	414	24	parameter	parameter	NOUN
ejpam-3426	414	25	.	.	PUNCT
ejpam-3426	415	1	figure	figure	VERB
ejpam-3426	415	2	7	7	NUM
ejpam-3426	415	3	:	:	PUNCT
ejpam-3426	415	4	profiles	profile	NOUN
ejpam-3426	415	5	of	of	ADP
ejpam-3426	415	6	the	the	DET
ejpam-3426	415	7	velocity	velocity	NOUN
ejpam-3426	415	8	field	field	NOUN
ejpam-3426	415	9	components	component	NOUN
ejpam-3426	415	10	for	for	ADP
ejpam-3426	415	11	mhd	mhd	PROPN
ejpam-3426	415	12	second	second	ADJ
ejpam-3426	415	13	grade	grade	NOUN
ejpam-3426	415	14	fluid	fluid	NOUN
ejpam-3426	415	15	with	with	ADP
ejpam-3426	415	16	porous	porous	ADJ
ejpam-3426	415	17	effect	effect	NOUN
ejpam-3426	415	18	w(r	w(r	PROPN
ejpam-3426	415	19	,	,	PUNCT
ejpam-3426	415	20	t	t	PROPN
ejpam-3426	415	21	)	)	PUNCT
ejpam-3426	415	22	,	,	PUNCT
ejpam-3426	415	23	u(r	u(r	PROPN
ejpam-3426	415	24	,	,	PUNCT
ejpam-3426	415	25	t	t	PROPN
ejpam-3426	415	26	)	)	PUNCT
ejpam-3426	415	27	and	and	CCONJ
ejpam-3426	415	28	the	the	DET
ejpam-3426	415	29	shear	shear	NOUN
ejpam-3426	415	30	stresses	stress	NOUN
ejpam-3426	415	31	τw(r	τw(r	PROPN
ejpam-3426	415	32	,	,	PUNCT
ejpam-3426	415	33	t	t	PROPN
ejpam-3426	415	34	)	)	PUNCT
ejpam-3426	415	35	,	,	PUNCT
ejpam-3426	415	36	τv(r	τv(r	NUM
ejpam-3426	415	37	,	,	PUNCT
ejpam-3426	415	38	t	t	PROPN
ejpam-3426	415	39	)	)	PUNCT
ejpam-3426	415	40	given	give	VERB
ejpam-3426	415	41	by	by	ADP
ejpam-3426	415	42	eqs	eqs	PROPN
ejpam-3426	415	43	.	.	PUNCT
ejpam-3426	416	1	(	(	PUNCT
ejpam-3426	416	2	26	26	NUM
ejpam-3426	416	3	)	)	PUNCT
ejpam-3426	416	4	,	,	PUNCT
ejpam-3426	416	5	(	(	PUNCT
ejpam-3426	416	6	27	27	NUM
ejpam-3426	416	7	)	)	PUNCT
ejpam-3426	416	8	,	,	PUNCT
ejpam-3426	416	9	(	(	PUNCT
ejpam-3426	416	10	34	34	NUM
ejpam-3426	416	11	)	)	PUNCT
ejpam-3426	416	12	and	and	CCONJ
ejpam-3426	416	13	(	(	PUNCT
ejpam-3426	416	14	35	35	NUM
ejpam-3426	416	15	)	)	PUNCT
ejpam-3426	416	16	,	,	PUNCT
ejpam-3426	416	17	for	for	ADP
ejpam-3426	416	18	r1	r1	NOUN
ejpam-3426	416	19	=	=	PUNCT
ejpam-3426	416	20	0.1	0.1	NUM
ejpam-3426	416	21	,	,	PUNCT
ejpam-3426	416	22	r2	r2	PROPN
ejpam-3426	416	23	=	=	PUNCT
ejpam-3426	416	24	0.3	0.3	NUM
ejpam-3426	416	25	,	,	PUNCT
ejpam-3426	416	26	f1	f1	NOUN
ejpam-3426	416	27	=	=	SYM
ejpam-3426	416	28	g1	g1	PROPN
ejpam-3426	416	29	=	=	SYM
ejpam-3426	416	30	0.3	0.3	NUM
ejpam-3426	416	31	,	,	PUNCT
ejpam-3426	416	32	f2	f2	PROPN
ejpam-3426	416	33	=	=	SYM
ejpam-3426	416	34	g2	g2	PROPN
ejpam-3426	416	35	=	=	PUNCT
ejpam-3426	416	36	0.2	0.2	NUM
ejpam-3426	416	37	,	,	PUNCT
ejpam-3426	416	38	ν	ν	X
ejpam-3426	416	39	=	=	SYM
ejpam-3426	416	40	0.6355	0.6355	NUM
ejpam-3426	416	41	,	,	PUNCT
ejpam-3426	416	42	µ	µ	X
ejpam-3426	416	43	=	=	SYM
ejpam-3426	416	44	12.26	12.26	NUM
ejpam-3426	416	45	,	,	PUNCT
ejpam-3426	416	46	α	α	NOUN
ejpam-3426	416	47	=	=	NOUN
ejpam-3426	416	48	0.2	0.2	NUM
ejpam-3426	416	49	,	,	PUNCT
ejpam-3426	416	50	m	m	VERB
ejpam-3426	416	51	=	=	NOUN
ejpam-3426	416	52	2	2	NUM
ejpam-3426	416	53	,	,	PUNCT
ejpam-3426	416	54	p	p	NOUN
ejpam-3426	416	55	=	=	NOUN
ejpam-3426	416	56	1	1	NUM
ejpam-3426	416	57	,	,	PUNCT
ejpam-3426	416	58	t	t	NOUN
ejpam-3426	416	59	=	=	PUNCT
ejpam-3426	416	60	0.2s	0.2s	NUM
ejpam-3426	416	61	and	and	CCONJ
ejpam-3426	416	62	different	different	ADJ
ejpam-3426	416	63	values	value	NOUN
ejpam-3426	416	64	of	of	ADP
ejpam-3426	416	65	porosity	porosity	NOUN
ejpam-3426	416	66	φ	φ	NOUN
ejpam-3426	416	67	.	.	PUNCT
ejpam-3426	417	1	one	one	NUM
ejpam-3426	417	2	of	of	ADP
ejpam-3426	417	3	the	the	DET
ejpam-3426	417	4	significant	significant	ADJ
ejpam-3426	417	5	parameter	parameter	NOUN
ejpam-3426	417	6	for	for	ADP
ejpam-3426	417	7	the	the	DET
ejpam-3426	417	8	flow	flow	NOUN
ejpam-3426	417	9	problem	problem	NOUN
ejpam-3426	417	10	is	be	AUX
ejpam-3426	417	11	considered	consider	VERB
ejpam-3426	417	12	,	,	PUNCT
ejpam-3426	417	13	the	the	DET
ejpam-3426	417	14	power	power	NOUN
ejpam-3426	417	15	p	p	NOUN
ejpam-3426	417	16	,	,	PUNCT
ejpam-3426	417	17	that	that	PRON
ejpam-3426	417	18	appeared	appear	VERB
ejpam-3426	417	19	in	in	ADP
ejpam-3426	417	20	the	the	DET
ejpam-3426	417	21	boundary	boundary	ADJ
ejpam-3426	417	22	conditions	condition	NOUN
ejpam-3426	417	23	(	(	PUNCT
ejpam-3426	417	24	22)-(24	22)-(24	NUM
ejpam-3426	417	25	)	)	PUNCT
ejpam-3426	417	26	.	.	PUNCT
ejpam-3426	418	1	m.	m.	PROPN
ejpam-3426	418	2	jamil	jamil	PROPN
ejpam-3426	418	3	,	,	PUNCT
ejpam-3426	418	4	m.	m.	NOUN
ejpam-3426	418	5	zafarullah	zafarullah	PROPN
ejpam-3426	418	6	/	/	SYM
ejpam-3426	418	7	eur	eur	PROPN
ejpam-3426	418	8	.	.	PUNCT
ejpam-3426	419	1	j.	j.	PROPN
ejpam-3426	419	2	pure	pure	PROPN
ejpam-3426	419	3	appl	appl	PROPN
ejpam-3426	419	4	.	.	PROPN
ejpam-3426	419	5	math	math	PROPN
ejpam-3426	419	6	,	,	PUNCT
ejpam-3426	419	7	12	12	NUM
ejpam-3426	419	8	(	(	PUNCT
ejpam-3426	419	9	3	3	NUM
ejpam-3426	419	10	)	)	PUNCT
ejpam-3426	419	11	(	(	PUNCT
ejpam-3426	419	12	2019	2019	NUM
ejpam-3426	419	13	)	)	PUNCT
ejpam-3426	419	14	,	,	PUNCT
ejpam-3426	419	15	1149	1149	NUM
ejpam-3426	419	16	-	-	SYM
ejpam-3426	419	17	1175	1175	NUM
ejpam-3426	419	18	1171	1171	NUM
ejpam-3426	419	19	we	we	PRON
ejpam-3426	419	20	consider	consider	VERB
ejpam-3426	419	21	only	only	ADV
ejpam-3426	419	22	integer	integer	NOUN
ejpam-3426	419	23	values	value	NOUN
ejpam-3426	419	24	of	of	ADP
ejpam-3426	419	25	power	power	NOUN
ejpam-3426	419	26	p	p	NOUN
ejpam-3426	419	27	=	=	NOUN
ejpam-3426	419	28	1	1	NUM
ejpam-3426	419	29	,	,	PUNCT
ejpam-3426	419	30	2	2	NUM
ejpam-3426	419	31	,	,	PUNCT
ejpam-3426	419	32	3	3	NUM
ejpam-3426	419	33	in	in	ADP
ejpam-3426	419	34	figs	fig	NOUN
ejpam-3426	419	35	8	8	NUM
ejpam-3426	419	36	.	.	PUNCT
ejpam-3426	420	1	it	it	PRON
ejpam-3426	420	2	is	be	AUX
ejpam-3426	420	3	brought	bring	VERB
ejpam-3426	420	4	to	to	ADP
ejpam-3426	420	5	knowledge	knowledge	NOUN
ejpam-3426	420	6	that	that	DET
ejpam-3426	420	7	increase	increase	NOUN
ejpam-3426	420	8	in	in	ADP
ejpam-3426	420	9	the	the	DET
ejpam-3426	420	10	power	power	NOUN
ejpam-3426	420	11	parameter	parameter	NOUN
ejpam-3426	420	12	p	p	PROPN
ejpam-3426	420	13	causes	cause	VERB
ejpam-3426	420	14	a	a	DET
ejpam-3426	420	15	increase	increase	NOUN
ejpam-3426	420	16	in	in	ADP
ejpam-3426	420	17	rotational	rotational	ADJ
ejpam-3426	420	18	pair	pair	NOUN
ejpam-3426	420	19	and	and	CCONJ
ejpam-3426	420	20	decrees	decree	VERB
ejpam-3426	420	21	the	the	DET
ejpam-3426	420	22	longitudinal	longitudinal	ADJ
ejpam-3426	420	23	pair	pair	NOUN
ejpam-3426	420	24	of	of	ADP
ejpam-3426	420	25	quantities	quantity	NOUN
ejpam-3426	420	26	for	for	ADP
ejpam-3426	420	27	the	the	DET
ejpam-3426	420	28	flow	flow	NOUN
ejpam-3426	420	29	problem	problem	NOUN
ejpam-3426	420	30	under	under	ADP
ejpam-3426	420	31	consideration	consideration	NOUN
ejpam-3426	420	32	.	.	PUNCT
ejpam-3426	421	1	figure	figure	NOUN
ejpam-3426	421	2	8	8	NUM
ejpam-3426	421	3	:	:	PUNCT
ejpam-3426	421	4	profiles	profile	NOUN
ejpam-3426	421	5	of	of	ADP
ejpam-3426	421	6	the	the	DET
ejpam-3426	421	7	velocity	velocity	NOUN
ejpam-3426	421	8	field	field	NOUN
ejpam-3426	421	9	components	component	NOUN
ejpam-3426	421	10	for	for	ADP
ejpam-3426	421	11	mhd	mhd	PROPN
ejpam-3426	421	12	second	second	ADJ
ejpam-3426	421	13	grade	grade	NOUN
ejpam-3426	421	14	fluid	fluid	NOUN
ejpam-3426	421	15	with	with	ADP
ejpam-3426	421	16	porous	porous	ADJ
ejpam-3426	421	17	effect	effect	NOUN
ejpam-3426	421	18	w(r	w(r	PROPN
ejpam-3426	421	19	,	,	PUNCT
ejpam-3426	421	20	t	t	PROPN
ejpam-3426	421	21	)	)	PUNCT
ejpam-3426	421	22	,	,	PUNCT
ejpam-3426	421	23	u(r	u(r	PROPN
ejpam-3426	421	24	,	,	PUNCT
ejpam-3426	421	25	t	t	PROPN
ejpam-3426	421	26	)	)	PUNCT
ejpam-3426	421	27	and	and	CCONJ
ejpam-3426	421	28	the	the	DET
ejpam-3426	421	29	shear	shear	NOUN
ejpam-3426	421	30	stresses	stress	NOUN
ejpam-3426	421	31	τw(r	τw(r	PROPN
ejpam-3426	421	32	,	,	PUNCT
ejpam-3426	421	33	t	t	PROPN
ejpam-3426	421	34	)	)	PUNCT
ejpam-3426	421	35	,	,	PUNCT
ejpam-3426	421	36	τv(r	τv(r	NUM
ejpam-3426	421	37	,	,	PUNCT
ejpam-3426	421	38	t	t	PROPN
ejpam-3426	421	39	)	)	PUNCT
ejpam-3426	421	40	given	give	VERB
ejpam-3426	421	41	by	by	ADP
ejpam-3426	421	42	eqs	eqs	PROPN
ejpam-3426	421	43	.	.	PUNCT
ejpam-3426	422	1	(	(	PUNCT
ejpam-3426	422	2	26	26	NUM
ejpam-3426	422	3	)	)	PUNCT
ejpam-3426	422	4	,	,	PUNCT
ejpam-3426	422	5	(	(	PUNCT
ejpam-3426	422	6	27	27	NUM
ejpam-3426	422	7	)	)	PUNCT
ejpam-3426	422	8	,	,	PUNCT
ejpam-3426	422	9	(	(	PUNCT
ejpam-3426	422	10	34	34	NUM
ejpam-3426	422	11	)	)	PUNCT
ejpam-3426	422	12	and	and	CCONJ
ejpam-3426	422	13	(	(	PUNCT
ejpam-3426	422	14	35	35	NUM
ejpam-3426	422	15	)	)	PUNCT
ejpam-3426	422	16	,	,	PUNCT
ejpam-3426	422	17	for	for	ADP
ejpam-3426	422	18	r1	r1	NOUN
ejpam-3426	422	19	=	=	PUNCT
ejpam-3426	422	20	0.1	0.1	NUM
ejpam-3426	422	21	,	,	PUNCT
ejpam-3426	422	22	r2	r2	PROPN
ejpam-3426	422	23	=	=	PUNCT
ejpam-3426	422	24	0.3	0.3	NUM
ejpam-3426	422	25	,	,	PUNCT
ejpam-3426	422	26	f1	f1	NOUN
ejpam-3426	422	27	=	=	SYM
ejpam-3426	422	28	g1	g1	PROPN
ejpam-3426	422	29	=	=	SYM
ejpam-3426	422	30	0.3	0.3	NUM
ejpam-3426	422	31	,	,	PUNCT
ejpam-3426	422	32	f2	f2	PROPN
ejpam-3426	422	33	=	=	SYM
ejpam-3426	422	34	g2	g2	PROPN
ejpam-3426	422	35	=	=	PUNCT
ejpam-3426	422	36	0.2	0.2	NUM
ejpam-3426	422	37	,	,	PUNCT
ejpam-3426	422	38	ν	ν	X
ejpam-3426	422	39	=	=	SYM
ejpam-3426	422	40	0.6355	0.6355	NUM
ejpam-3426	422	41	,	,	PUNCT
ejpam-3426	422	42	µ	µ	X
ejpam-3426	422	43	=	=	SYM
ejpam-3426	422	44	12.26	12.26	NUM
ejpam-3426	422	45	,	,	PUNCT
ejpam-3426	422	46	α	α	NOUN
ejpam-3426	422	47	=	=	NOUN
ejpam-3426	422	48	0.2	0.2	NUM
ejpam-3426	422	49	,	,	PUNCT
ejpam-3426	422	50	m	m	VERB
ejpam-3426	422	51	=	=	NOUN
ejpam-3426	422	52	2	2	NUM
ejpam-3426	422	53	,	,	PUNCT
ejpam-3426	422	54	φ	φ	NOUN
ejpam-3426	422	55	=	=	SYM
ejpam-3426	422	56	2	2	NUM
ejpam-3426	422	57	,	,	PUNCT
ejpam-3426	422	58	t	t	NOUN
ejpam-3426	422	59	=	=	SYM
ejpam-3426	422	60	1s	1	NOUN
ejpam-3426	422	61	and	and	CCONJ
ejpam-3426	422	62	different	different	ADJ
ejpam-3426	422	63	values	value	NOUN
ejpam-3426	422	64	of	of	ADP
ejpam-3426	422	65	the	the	DET
ejpam-3426	422	66	power	power	NOUN
ejpam-3426	422	67	p.	p.	NOUN
ejpam-3426	422	68	in	in	ADP
ejpam-3426	422	69	the	the	DET
ejpam-3426	422	70	end	end	NOUN
ejpam-3426	422	71	,	,	PUNCT
ejpam-3426	422	72	for	for	ADP
ejpam-3426	422	73	comparison	comparison	NOUN
ejpam-3426	422	74	the	the	DET
ejpam-3426	422	75	velocities	velocity	NOUN
ejpam-3426	422	76	and	and	CCONJ
ejpam-3426	422	77	shear	shear	NOUN
ejpam-3426	422	78	stresses	stress	VERB
ejpam-3426	422	79	profiles	profile	NOUN
ejpam-3426	422	80	corresponding	correspond	VERB
ejpam-3426	422	81	to	to	ADP
ejpam-3426	422	82	two	two	NUM
ejpam-3426	422	83	models	model	NOUN
ejpam-3426	422	84	mhd	mhd	VERB
ejpam-3426	422	85	second	second	ADJ
ejpam-3426	422	86	grade	grade	NOUN
ejpam-3426	422	87	and	and	CCONJ
ejpam-3426	422	88	mhd	mhd	NOUN
ejpam-3426	422	89	newtonian	newtonian	NOUN
ejpam-3426	422	90	in	in	ADP
ejpam-3426	422	91	porous	porous	ADJ
ejpam-3426	422	92	medium	medium	NOUN
ejpam-3426	422	93	are	be	AUX
ejpam-3426	422	94	together	together	ADV
ejpam-3426	422	95	depicted	depict	VERB
ejpam-3426	422	96	in	in	ADP
ejpam-3426	422	97	figs	fig	NOUN
ejpam-3426	422	98	.	.	PUNCT
ejpam-3426	423	1	9	9	NUM
ejpam-3426	423	2	for	for	ADP
ejpam-3426	423	3	same	same	ADJ
ejpam-3426	423	4	value	value	NOUN
ejpam-3426	423	5	of	of	ADP
ejpam-3426	423	6	t	t	PROPN
ejpam-3426	423	7	,	,	PUNCT
ejpam-3426	423	8	α	α	PROPN
ejpam-3426	423	9	,	,	PUNCT
ejpam-3426	423	10	µ	µ	NOUN
ejpam-3426	423	11	,	,	PUNCT
ejpam-3426	423	12	ν	ν	NOUN
ejpam-3426	423	13	,	,	PUNCT
ejpam-3426	423	14	m	m	VERB
ejpam-3426	423	15	and	and	CCONJ
ejpam-3426	423	16	φ	φ	X
ejpam-3426	423	17	.	.	PUNCT
ejpam-3426	424	1	it	it	PRON
ejpam-3426	424	2	is	be	AUX
ejpam-3426	424	3	found	find	VERB
ejpam-3426	424	4	that	that	SCONJ
ejpam-3426	424	5	mhd	mhd	NOUN
ejpam-3426	424	6	newtonian	newtonian	ADJ
ejpam-3426	424	7	fluid	fluid	NOUN
ejpam-3426	424	8	flows	flow	NOUN
ejpam-3426	424	9	faster	fast	ADV
ejpam-3426	424	10	than	than	ADP
ejpam-3426	424	11	the	the	DET
ejpam-3426	424	12	mhd	mhd	PROPN
ejpam-3426	424	13	second	second	ADJ
ejpam-3426	424	14	grade	grade	NOUN
ejpam-3426	424	15	fluid	fluid	NOUN
ejpam-3426	424	16	in	in	ADP
ejpam-3426	424	17	porous	porous	ADJ
ejpam-3426	424	18	medium	medium	NOUN
ejpam-3426	424	19	.	.	PUNCT
ejpam-3426	425	1	however	however	ADV
ejpam-3426	425	2	the	the	DET
ejpam-3426	425	3	shear	shear	NOUN
ejpam-3426	425	4	stresses	stress	NOUN
ejpam-3426	425	5	are	be	AUX
ejpam-3426	425	6	larger	large	ADJ
ejpam-3426	425	7	of	of	ADP
ejpam-3426	425	8	mhd	mhd	PROPN
ejpam-3426	425	9	second	second	ADJ
ejpam-3426	425	10	grade	grade	NOUN
ejpam-3426	425	11	fluid	fluid	NOUN
ejpam-3426	425	12	are	be	AUX
ejpam-3426	425	13	larger	large	ADJ
ejpam-3426	425	14	than	than	ADP
ejpam-3426	425	15	the	the	DET
ejpam-3426	425	16	mhd	mhd	NOUN
ejpam-3426	425	17	newtonian	newtonian	PROPN
ejpam-3426	425	18	fluid	fluid	NOUN
ejpam-3426	425	19	.	.	PUNCT
ejpam-3426	426	1	m.	m.	NOUN
ejpam-3426	426	2	jamil	jamil	PROPN
ejpam-3426	426	3	,	,	PUNCT
ejpam-3426	426	4	m.	m.	NOUN
ejpam-3426	426	5	zafarullah	zafarullah	PROPN
ejpam-3426	426	6	/	/	SYM
ejpam-3426	426	7	eur	eur	PROPN
ejpam-3426	426	8	.	.	PUNCT
ejpam-3426	427	1	j.	j.	PROPN
ejpam-3426	427	2	pure	pure	PROPN
ejpam-3426	427	3	appl	appl	PROPN
ejpam-3426	427	4	.	.	PROPN
ejpam-3426	427	5	math	math	PROPN
ejpam-3426	427	6	,	,	PUNCT
ejpam-3426	427	7	12	12	NUM
ejpam-3426	427	8	(	(	PUNCT
ejpam-3426	427	9	3	3	NUM
ejpam-3426	427	10	)	)	PUNCT
ejpam-3426	427	11	(	(	PUNCT
ejpam-3426	427	12	2019	2019	NUM
ejpam-3426	427	13	)	)	PUNCT
ejpam-3426	427	14	,	,	PUNCT
ejpam-3426	427	15	1149	1149	NUM
ejpam-3426	427	16	-	-	SYM
ejpam-3426	427	17	1175	1175	NUM
ejpam-3426	427	18	1172	1172	NUM
ejpam-3426	427	19	figure	figure	NOUN
ejpam-3426	427	20	9	9	NUM
ejpam-3426	427	21	:	:	PUNCT
ejpam-3426	427	22	profiles	profile	NOUN
ejpam-3426	427	23	of	of	ADP
ejpam-3426	427	24	the	the	DET
ejpam-3426	427	25	velocity	velocity	NOUN
ejpam-3426	427	26	field	field	NOUN
ejpam-3426	427	27	components	component	NOUN
ejpam-3426	427	28	for	for	ADP
ejpam-3426	427	29	mhd	mhd	PROPN
ejpam-3426	427	30	second	second	ADJ
ejpam-3426	427	31	grade	grade	NOUN
ejpam-3426	427	32	fluid	fluid	NOUN
ejpam-3426	427	33	and	and	CCONJ
ejpam-3426	427	34	mhd	mhd	NOUN
ejpam-3426	427	35	newtonian	newtonian	NOUN
ejpam-3426	427	36	with	with	ADP
ejpam-3426	427	37	porous	porous	ADJ
ejpam-3426	427	38	effect	effect	NOUN
ejpam-3426	427	39	w(r	w(r	PROPN
ejpam-3426	427	40	,	,	PUNCT
ejpam-3426	427	41	t	t	PROPN
ejpam-3426	427	42	)	)	PUNCT
ejpam-3426	427	43	,	,	PUNCT
ejpam-3426	427	44	u(r	u(r	PROPN
ejpam-3426	427	45	,	,	PUNCT
ejpam-3426	427	46	t	t	PROPN
ejpam-3426	427	47	)	)	PUNCT
ejpam-3426	427	48	and	and	CCONJ
ejpam-3426	427	49	the	the	DET
ejpam-3426	427	50	shear	shear	NOUN
ejpam-3426	427	51	stresses	stress	NOUN
ejpam-3426	427	52	τw(r	τw(r	PROPN
ejpam-3426	427	53	,	,	PUNCT
ejpam-3426	427	54	t	t	PROPN
ejpam-3426	427	55	)	)	PUNCT
ejpam-3426	427	56	,	,	PUNCT
ejpam-3426	427	57	τv(r	τv(r	NUM
ejpam-3426	427	58	,	,	PUNCT
ejpam-3426	427	59	t	t	PROPN
ejpam-3426	427	60	)	)	PUNCT
ejpam-3426	427	61	given	give	VERB
ejpam-3426	427	62	by	by	ADP
ejpam-3426	427	63	eqs	eqs	PROPN
ejpam-3426	427	64	.	.	PUNCT
ejpam-3426	428	1	(	(	PUNCT
ejpam-3426	428	2	26	26	NUM
ejpam-3426	428	3	)	)	PUNCT
ejpam-3426	428	4	,	,	PUNCT
ejpam-3426	428	5	(	(	PUNCT
ejpam-3426	428	6	27	27	NUM
ejpam-3426	428	7	)	)	PUNCT
ejpam-3426	428	8	,	,	PUNCT
ejpam-3426	428	9	(	(	PUNCT
ejpam-3426	428	10	34	34	NUM
ejpam-3426	428	11	)	)	PUNCT
ejpam-3426	428	12	,	,	PUNCT
ejpam-3426	428	13	(	(	PUNCT
ejpam-3426	428	14	35	35	NUM
ejpam-3426	428	15	)	)	PUNCT
ejpam-3426	428	16	,	,	PUNCT
ejpam-3426	428	17	(	(	PUNCT
ejpam-3426	428	18	36	36	NUM
ejpam-3426	428	19	)	)	PUNCT
ejpam-3426	428	20	,	,	PUNCT
ejpam-3426	428	21	(	(	PUNCT
ejpam-3426	428	22	37	37	NUM
ejpam-3426	428	23	)	)	PUNCT
ejpam-3426	428	24	,	,	PUNCT
ejpam-3426	428	25	(	(	PUNCT
ejpam-3426	428	26	38	38	NUM
ejpam-3426	428	27	)	)	PUNCT
ejpam-3426	428	28	and	and	CCONJ
ejpam-3426	428	29	(	(	PUNCT
ejpam-3426	428	30	39	39	NUM
ejpam-3426	428	31	)	)	PUNCT
ejpam-3426	428	32	for	for	ADP
ejpam-3426	428	33	r1	r1	NOUN
ejpam-3426	428	34	=	=	PUNCT
ejpam-3426	428	35	0.1	0.1	NUM
ejpam-3426	428	36	,	,	PUNCT
ejpam-3426	428	37	r2	r2	PROPN
ejpam-3426	428	38	=	=	PUNCT
ejpam-3426	428	39	0.3	0.3	NUM
ejpam-3426	428	40	,	,	PUNCT
ejpam-3426	428	41	f1	f1	NOUN
ejpam-3426	428	42	=	=	SYM
ejpam-3426	428	43	g1	g1	PROPN
ejpam-3426	428	44	=	=	SYM
ejpam-3426	428	45	0.3	0.3	NUM
ejpam-3426	428	46	,	,	PUNCT
ejpam-3426	428	47	f2	f2	PROPN
ejpam-3426	428	48	=	=	SYM
ejpam-3426	428	49	g2	g2	PROPN
ejpam-3426	428	50	=	=	PUNCT
ejpam-3426	428	51	0.2	0.2	NUM
ejpam-3426	428	52	,	,	PUNCT
ejpam-3426	428	53	ν	ν	X
ejpam-3426	428	54	=	=	SYM
ejpam-3426	428	55	0.6355	0.6355	NUM
ejpam-3426	428	56	,	,	PUNCT
ejpam-3426	428	57	µ	µ	X
ejpam-3426	428	58	=	=	SYM
ejpam-3426	428	59	12.26	12.26	NUM
ejpam-3426	428	60	,	,	PUNCT
ejpam-3426	428	61	α	α	NOUN
ejpam-3426	428	62	=	=	NOUN
ejpam-3426	428	63	0.2	0.2	NUM
ejpam-3426	428	64	,	,	PUNCT
ejpam-3426	428	65	m	m	VERB
ejpam-3426	428	66	=	=	NOUN
ejpam-3426	428	67	2	2	NUM
ejpam-3426	428	68	,	,	PUNCT
ejpam-3426	428	69	φ	φ	NOUN
ejpam-3426	428	70	=	=	SYM
ejpam-3426	428	71	2	2	NUM
ejpam-3426	428	72	,	,	PUNCT
ejpam-3426	428	73	p	p	NOUN
ejpam-3426	428	74	=	=	SYM
ejpam-3426	428	75	1	1	NUM
ejpam-3426	428	76	and	and	CCONJ
ejpam-3426	428	77	t	t	NOUN
ejpam-3426	428	78	=	=	SYM
ejpam-3426	428	79	1s	1s	NUM
ejpam-3426	428	80	.	.	PUNCT
ejpam-3426	429	1	these	these	DET
ejpam-3426	429	2	comparison	comparison	NOUN
ejpam-3426	429	3	is	be	AUX
ejpam-3426	429	4	completly	completly	ADV
ejpam-3426	429	5	agreement	agreement	VERB
ejpam-3426	429	6	the	the	DET
ejpam-3426	429	7	figs	fig	NOUN
ejpam-3426	429	8	.	.	PUNCT
ejpam-3426	430	1	4	4	NUM
ejpam-3426	430	2	which	which	PRON
ejpam-3426	430	3	also	also	ADV
ejpam-3426	430	4	shows	show	VERB
ejpam-3426	430	5	that	that	SCONJ
ejpam-3426	430	6	when	when	SCONJ
ejpam-3426	430	7	α→	α→	PROPN
ejpam-3426	430	8	0	0	NUM
ejpam-3426	430	9	the	the	DET
ejpam-3426	430	10	mhd	mhd	PROPN
ejpam-3426	430	11	second	second	ADJ
ejpam-3426	430	12	grade	grade	NOUN
ejpam-3426	430	13	fluid	fluid	NOUN
ejpam-3426	430	14	flows	flow	NOUN
ejpam-3426	430	15	fast	fast	VERB
ejpam-3426	430	16	in	in	ADP
ejpam-3426	430	17	porous	porous	ADJ
ejpam-3426	430	18	medium	medium	NOUN
ejpam-3426	430	19	.	.	PUNCT
ejpam-3426	431	1	si	si	PROPN
ejpam-3426	431	2	units	unit	NOUN
ejpam-3426	431	3	are	be	AUX
ejpam-3426	431	4	considered	consider	VERB
ejpam-3426	431	5	for	for	ADP
ejpam-3426	431	6	material	material	NOUN
ejpam-3426	431	7	parameters	parameter	NOUN
ejpam-3426	431	8	in	in	ADP
ejpam-3426	431	9	figs	fig	NOUN
ejpam-3426	431	10	.	.	PUNCT
ejpam-3426	432	1	2	2	NUM
ejpam-3426	432	2	9	9	NUM
ejpam-3426	432	3	and	and	CCONJ
ejpam-3426	432	4	(	(	PUNCT
ejpam-3426	432	5	2m−1)π/2(r2−r1	2m−1)π/2(r2−r1	NUM
ejpam-3426	432	6	)	)	PUNCT
ejpam-3426	432	7	and	and	CCONJ
ejpam-3426	432	8	(	(	PUNCT
ejpam-3426	432	9	2n−1)π/2(r2−r1	2n−1)π/2(r2−r1	NUM
ejpam-3426	432	10	)	)	PUNCT
ejpam-3426	432	11	are	be	AUX
ejpam-3426	432	12	used	use	VERB
ejpam-3426	432	13	as	as	ADP
ejpam-3426	432	14	approximated	approximate	VERB
ejpam-3426	432	15	values	value	NOUN
ejpam-3426	432	16	of	of	ADP
ejpam-3426	432	17	the	the	DET
ejpam-3426	432	18	roots	root	NOUN
ejpam-3426	432	19	rm	rm	NOUN
ejpam-3426	432	20	and	and	CCONJ
ejpam-3426	432	21	rn	rn	PROPN
ejpam-3426	432	22	.	.	PROPN
ejpam-3426	432	23	references	reference	NOUN
ejpam-3426	432	24	1173	1173	NUM
ejpam-3426	432	25	5	5	NUM
ejpam-3426	432	26	.	.	PUNCT
ejpam-3426	432	27	concluding	conclude	VERB
ejpam-3426	432	28	remarks	remark	VERB
ejpam-3426	432	29	the	the	DET
ejpam-3426	432	30	purpose	purpose	NOUN
ejpam-3426	432	31	of	of	ADP
ejpam-3426	432	32	this	this	DET
ejpam-3426	432	33	chapter	chapter	NOUN
ejpam-3426	432	34	is	be	AUX
ejpam-3426	432	35	to	to	PART
ejpam-3426	432	36	present	present	VERB
ejpam-3426	432	37	the	the	DET
ejpam-3426	432	38	unsteady	unsteady	ADJ
ejpam-3426	432	39	flow	flow	NOUN
ejpam-3426	432	40	of	of	ADP
ejpam-3426	432	41	second	second	ADJ
ejpam-3426	432	42	grade	grade	NOUN
ejpam-3426	432	43	fluid	fluid	NOUN
ejpam-3426	432	44	between	between	ADP
ejpam-3426	432	45	two	two	NUM
ejpam-3426	432	46	infinite	infinite	ADJ
ejpam-3426	432	47	coaxial	coaxial	ADJ
ejpam-3426	432	48	circular	circular	ADJ
ejpam-3426	432	49	porous	porous	ADJ
ejpam-3426	432	50	cylinders	cylinder	NOUN
ejpam-3426	432	51	in	in	ADP
ejpam-3426	432	52	the	the	DET
ejpam-3426	432	53	presence	presence	NOUN
ejpam-3426	432	54	of	of	ADP
ejpam-3426	432	55	magnetic	magnetic	ADJ
ejpam-3426	432	56	field	field	NOUN
ejpam-3426	432	57	is	be	AUX
ejpam-3426	432	58	studied	study	VERB
ejpam-3426	432	59	by	by	ADP
ejpam-3426	432	60	techniques	technique	NOUN
ejpam-3426	432	61	of	of	ADP
ejpam-3426	432	62	the	the	DET
ejpam-3426	432	63	discrete	discrete	ADJ
ejpam-3426	432	64	laplace	laplace	NOUN
ejpam-3426	432	65	and	and	CCONJ
ejpam-3426	432	66	finite	finite	ADJ
ejpam-3426	432	67	hankel	hankel	NOUN
ejpam-3426	432	68	transforms	transform	VERB
ejpam-3426	432	69	.	.	PUNCT
ejpam-3426	433	1	the	the	DET
ejpam-3426	433	2	flow	flow	NOUN
ejpam-3426	433	3	of	of	ADP
ejpam-3426	433	4	the	the	DET
ejpam-3426	433	5	fluid	fluid	NOUN
ejpam-3426	433	6	is	be	AUX
ejpam-3426	433	7	generated	generate	VERB
ejpam-3426	433	8	by	by	ADP
ejpam-3426	433	9	the	the	DET
ejpam-3426	433	10	inner	inner	ADJ
ejpam-3426	433	11	cylinder	cylinder	NOUN
ejpam-3426	433	12	that	that	PRON
ejpam-3426	433	13	is	be	AUX
ejpam-3426	433	14	subject	subject	ADJ
ejpam-3426	433	15	to	to	ADP
ejpam-3426	433	16	a	a	DET
ejpam-3426	433	17	rotational	rotational	ADJ
ejpam-3426	433	18	and	and	CCONJ
ejpam-3426	433	19	longitudinal	longitudinal	ADJ
ejpam-3426	433	20	time	time	NOUN
ejpam-3426	433	21	dependent	dependent	ADJ
ejpam-3426	433	22	shear	shear	NOUN
ejpam-3426	433	23	stresses	stress	NOUN
ejpam-3426	433	24	and	and	CCONJ
ejpam-3426	433	25	the	the	DET
ejpam-3426	433	26	outer	outer	ADJ
ejpam-3426	433	27	cylinder	cylinder	NOUN
ejpam-3426	433	28	also	also	ADV
ejpam-3426	433	29	subject	subject	VERB
ejpam-3426	433	30	to	to	ADP
ejpam-3426	433	31	a	a	DET
ejpam-3426	433	32	rotational	rotational	ADJ
ejpam-3426	433	33	and	and	CCONJ
ejpam-3426	433	34	longitudinal	longitudinal	ADJ
ejpam-3426	433	35	time	time	NOUN
ejpam-3426	433	36	dependent	dependent	ADJ
ejpam-3426	433	37	velocities	velocity	NOUN
ejpam-3426	433	38	along	along	ADP
ejpam-3426	433	39	its	its	PRON
ejpam-3426	433	40	axes	axis	NOUN
ejpam-3426	433	41	when	when	SCONJ
ejpam-3426	433	42	time	time	NOUN
ejpam-3426	433	43	t	t	PROPN
ejpam-3426	433	44	=	=	PUNCT
ejpam-3426	433	45	0	0	PUNCT
ejpam-3426	434	1	+	+	NOUN
ejpam-3426	434	2	.	.	PUNCT
ejpam-3426	435	1	the	the	DET
ejpam-3426	435	2	exact	exact	ADJ
ejpam-3426	435	3	analytical	analytical	ADJ
ejpam-3426	435	4	solutions	solution	NOUN
ejpam-3426	435	5	are	be	AUX
ejpam-3426	435	6	obtained	obtain	VERB
ejpam-3426	435	7	for	for	ADP
ejpam-3426	435	8	the	the	DET
ejpam-3426	435	9	velocity	velocity	NOUN
ejpam-3426	435	10	field	field	NOUN
ejpam-3426	435	11	components	component	NOUN
ejpam-3426	435	12	w(r	w(r	PROPN
ejpam-3426	435	13	,	,	PUNCT
ejpam-3426	435	14	t	t	PROPN
ejpam-3426	435	15	)	)	PUNCT
ejpam-3426	435	16	,	,	PUNCT
ejpam-3426	435	17	v(r	v(r	PROPN
ejpam-3426	435	18	,	,	PUNCT
ejpam-3426	435	19	t	t	PROPN
ejpam-3426	435	20	)	)	PUNCT
ejpam-3426	435	21	and	and	CCONJ
ejpam-3426	435	22	the	the	DET
ejpam-3426	435	23	shear	shear	NOUN
ejpam-3426	435	24	stresses	stress	NOUN
ejpam-3426	435	25	τw(r	τw(r	PROPN
ejpam-3426	435	26	,	,	PUNCT
ejpam-3426	435	27	t	t	PROPN
ejpam-3426	435	28	)	)	PUNCT
ejpam-3426	435	29	,	,	PUNCT
ejpam-3426	435	30	τv(r	τv(r	NUM
ejpam-3426	435	31	,	,	PUNCT
ejpam-3426	435	32	t	t	PROPN
ejpam-3426	435	33	)	)	PUNCT
ejpam-3426	435	34	in	in	ADP
ejpam-3426	435	35	series	series	NOUN
ejpam-3426	435	36	form	form	NOUN
ejpam-3426	435	37	and	and	CCONJ
ejpam-3426	435	38	presented	present	VERB
ejpam-3426	435	39	in	in	ADP
ejpam-3426	435	40	term	term	NOUN
ejpam-3426	435	41	of	of	ADP
ejpam-3426	435	42	convolution	convolution	NOUN
ejpam-3426	435	43	product	product	NOUN
ejpam-3426	435	44	of	of	ADP
ejpam-3426	435	45	laplace	laplace	NOUN
ejpam-3426	435	46	transforms	transform	VERB
ejpam-3426	435	47	,	,	PUNCT
ejpam-3426	435	48	satisfy	satisfy	VERB
ejpam-3426	435	49	all	all	DET
ejpam-3426	435	50	imposed	impose	VERB
ejpam-3426	435	51	initial	initial	ADJ
ejpam-3426	435	52	and	and	CCONJ
ejpam-3426	435	53	boundary	boundary	ADJ
ejpam-3426	435	54	conditions	condition	NOUN
ejpam-3426	435	55	.	.	PUNCT
ejpam-3426	436	1	the	the	DET
ejpam-3426	436	2	corresponding	correspond	VERB
ejpam-3426	436	3	solutions	solution	NOUN
ejpam-3426	436	4	for	for	ADP
ejpam-3426	436	5	,	,	PUNCT
ejpam-3426	436	6	second	second	ADJ
ejpam-3426	436	7	grade	grade	NOUN
ejpam-3426	436	8	,	,	PUNCT
ejpam-3426	436	9	mhd	mhd	NOUN
ejpam-3426	436	10	newtonian	newtonian	ADJ
ejpam-3426	436	11	and	and	CCONJ
ejpam-3426	436	12	newtonian	newtonian	ADJ
ejpam-3426	436	13	fluids	fluid	NOUN
ejpam-3426	436	14	in	in	ADP
ejpam-3426	436	15	porous	porous	ADJ
ejpam-3426	436	16	medium	medium	NOUN
ejpam-3426	436	17	are	be	AUX
ejpam-3426	436	18	also	also	ADV
ejpam-3426	436	19	obtained	obtain	VERB
ejpam-3426	436	20	from	from	ADP
ejpam-3426	436	21	general	general	ADJ
ejpam-3426	436	22	solutions	solution	NOUN
ejpam-3426	436	23	for	for	ADP
ejpam-3426	436	24	m	m	PROPN
ejpam-3426	436	25	→	→	SYM
ejpam-3426	436	26	0	0	NUM
ejpam-3426	436	27	and	and	CCONJ
ejpam-3426	436	28	α→	α→	PROPN
ejpam-3426	436	29	0	0	X
ejpam-3426	436	30	.	.	PUNCT
ejpam-3426	437	1	in	in	ADP
ejpam-3426	437	2	the	the	DET
ejpam-3426	437	3	special	special	ADJ
ejpam-3426	437	4	case	case	NOUN
ejpam-3426	437	5	when	when	SCONJ
ejpam-3426	437	6	φ→	φ→	PROPN
ejpam-3426	437	7	0	0	NUM
ejpam-3426	437	8	,	,	PUNCT
ejpam-3426	437	9	the	the	DET
ejpam-3426	437	10	general	general	ADJ
ejpam-3426	437	11	solution	solution	NOUN
ejpam-3426	437	12	reduces	reduce	VERB
ejpam-3426	437	13	to	to	ADP
ejpam-3426	437	14	the	the	DET
ejpam-3426	437	15	solutions	solution	NOUN
ejpam-3426	437	16	for	for	ADP
ejpam-3426	437	17	second	second	ADJ
ejpam-3426	437	18	grade	grade	NOUN
ejpam-3426	437	19	and	and	CCONJ
ejpam-3426	437	20	newtonian	newtonian	ADJ
ejpam-3426	437	21	fluids	fluid	NOUN
ejpam-3426	437	22	in	in	ADP
ejpam-3426	437	23	the	the	DET
ejpam-3426	437	24	absence	absence	NOUN
ejpam-3426	437	25	of	of	ADP
ejpam-3426	437	26	porous	porous	ADJ
ejpam-3426	437	27	medium	medium	NOUN
ejpam-3426	437	28	.	.	PUNCT
ejpam-3426	438	1	the	the	DET
ejpam-3426	438	2	following	follow	VERB
ejpam-3426	438	3	conclusions	conclusion	NOUN
ejpam-3426	438	4	are	be	AUX
ejpam-3426	438	5	extracted	extract	VERB
ejpam-3426	438	6	for	for	ADP
ejpam-3426	438	7	this	this	DET
ejpam-3426	438	8	study	study	NOUN
ejpam-3426	438	9	:	:	PUNCT
ejpam-3426	438	10	the	the	DET
ejpam-3426	438	11	general	general	ADJ
ejpam-3426	438	12	solutions	solution	NOUN
ejpam-3426	438	13	for	for	ADP
ejpam-3426	438	14	velocities	velocity	NOUN
ejpam-3426	438	15	and	and	CCONJ
ejpam-3426	438	16	shear	shear	NOUN
ejpam-3426	438	17	stresses	stress	NOUN
ejpam-3426	438	18	are	be	AUX
ejpam-3426	438	19	written	write	VERB
ejpam-3426	438	20	in	in	ADP
ejpam-3426	438	21	simple	simple	ADJ
ejpam-3426	438	22	forms	form	NOUN
ejpam-3426	438	23	in	in	ADP
ejpam-3426	438	24	term	term	NOUN
ejpam-3426	438	25	of	of	ADP
ejpam-3426	438	26	convolution	convolution	NOUN
ejpam-3426	438	27	product	product	NOUN
ejpam-3426	438	28	of	of	ADP
ejpam-3426	438	29	laplace	laplace	NOUN
ejpam-3426	438	30	transforms	transform	VERB
ejpam-3426	438	31	.	.	PUNCT
ejpam-3426	439	1	in	in	ADP
ejpam-3426	439	2	absolute	absolute	ADJ
ejpam-3426	439	3	sense	sense	NOUN
ejpam-3426	439	4	velocity	velocity	NOUN
ejpam-3426	439	5	filed	file	VERB
ejpam-3426	439	6	components	component	NOUN
ejpam-3426	439	7	are	be	AUX
ejpam-3426	439	8	increasing	increase	VERB
ejpam-3426	439	9	functions	function	NOUN
ejpam-3426	439	10	of	of	ADP
ejpam-3426	439	11	time	time	NOUN
ejpam-3426	439	12	.	.	PUNCT
ejpam-3426	440	1	the	the	DET
ejpam-3426	440	2	rotational	rotational	ADJ
ejpam-3426	440	3	velocity	velocity	NOUN
ejpam-3426	440	4	increases	increase	NOUN
ejpam-3426	440	5	and	and	CCONJ
ejpam-3426	440	6	longitudinal	longitudinal	ADJ
ejpam-3426	440	7	velocity	velocity	NOUN
ejpam-3426	440	8	decreases	decrease	VERB
ejpam-3426	440	9	along	along	ADP
ejpam-3426	440	10	radial	radial	ADJ
ejpam-3426	440	11	direction	direction	NOUN
ejpam-3426	440	12	.	.	PUNCT
ejpam-3426	441	1	the	the	DET
ejpam-3426	441	2	effects	effect	NOUN
ejpam-3426	441	3	of	of	ADP
ejpam-3426	441	4	material	material	NOUN
ejpam-3426	441	5	parameter	parameter	NOUN
ejpam-3426	441	6	α	α	PROPN
ejpam-3426	441	7	and	and	CCONJ
ejpam-3426	441	8	kinematic	kinematic	ADJ
ejpam-3426	441	9	viscosity	viscosity	NOUN
ejpam-3426	441	10	ν	ν	NOUN
ejpam-3426	441	11	are	be	AUX
ejpam-3426	441	12	opposite	opposite	ADJ
ejpam-3426	441	13	on	on	ADP
ejpam-3426	441	14	velocity	velocity	NOUN
ejpam-3426	441	15	profiles	profile	NOUN
ejpam-3426	441	16	.	.	PUNCT
ejpam-3426	442	1	for	for	ADP
ejpam-3426	442	2	instance	instance	NOUN
ejpam-3426	442	3	rotational	rotational	ADJ
ejpam-3426	442	4	velocity	velocity	NOUN
ejpam-3426	442	5	is	be	AUX
ejpam-3426	442	6	increasing	increase	VERB
ejpam-3426	442	7	and	and	CCONJ
ejpam-3426	442	8	longitudinal	longitudinal	ADJ
ejpam-3426	442	9	velocity	velocity	NOUN
ejpam-3426	442	10	is	be	AUX
ejpam-3426	442	11	decreasing	decrease	VERB
ejpam-3426	442	12	functions	function	NOUN
ejpam-3426	442	13	of	of	ADP
ejpam-3426	442	14	α	α	NOUN
ejpam-3426	442	15	.	.	PUNCT
ejpam-3426	443	1	the	the	DET
ejpam-3426	443	2	increasing	increase	VERB
ejpam-3426	443	3	values	value	NOUN
ejpam-3426	443	4	of	of	ADP
ejpam-3426	443	5	magnetic	magnetic	ADJ
ejpam-3426	443	6	values	value	NOUN
ejpam-3426	443	7	enhance	enhance	VERB
ejpam-3426	443	8	the	the	DET
ejpam-3426	443	9	velocity	velocity	NOUN
ejpam-3426	443	10	and	and	CCONJ
ejpam-3426	443	11	shear	shear	NOUN
ejpam-3426	443	12	stress	stress	NOUN
ejpam-3426	443	13	quantities	quantity	NOUN
ejpam-3426	443	14	.	.	PUNCT
ejpam-3426	444	1	the	the	DET
ejpam-3426	444	2	porosity	porosity	NOUN
ejpam-3426	444	3	parameter	parameter	NOUN
ejpam-3426	444	4	φ	φ	PROPN
ejpam-3426	444	5	have	have	VERB
ejpam-3426	444	6	ignorable	ignorable	ADJ
ejpam-3426	444	7	impact	impact	NOUN
ejpam-3426	444	8	on	on	ADP
ejpam-3426	444	9	the	the	DET
ejpam-3426	444	10	velocity	velocity	NOUN
ejpam-3426	444	11	profiles	profile	NOUN
ejpam-3426	444	12	.	.	PUNCT
ejpam-3426	445	1	when	when	SCONJ
ejpam-3426	445	2	both	both	DET
ejpam-3426	445	3	porous	porous	ADJ
ejpam-3426	445	4	cylindrical	cylindrical	NOUN
ejpam-3426	445	5	helically	helically	ADV
ejpam-3426	445	6	moved	move	VERB
ejpam-3426	445	7	,	,	PUNCT
ejpam-3426	445	8	the	the	DET
ejpam-3426	445	9	mhd	mhd	PROPN
ejpam-3426	445	10	newtonian	newtonian	ADJ
ejpam-3426	445	11	fluid	fluid	NOUN
ejpam-3426	445	12	flows	flow	NOUN
ejpam-3426	445	13	faster	fast	ADV
ejpam-3426	445	14	than	than	SCONJ
ejpam-3426	445	15	mhd	mhd	VERB
ejpam-3426	445	16	second	second	ADJ
ejpam-3426	445	17	grade	grade	NOUN
ejpam-3426	445	18	fluid	fluid	NOUN
ejpam-3426	445	19	.	.	PUNCT
ejpam-3426	446	1	acknowledgements	acknowledgement	NOUN
ejpam-3426	446	2	the	the	DET
ejpam-3426	446	3	authors	author	NOUN
ejpam-3426	446	4	,	,	PUNCT
ejpam-3426	446	5	dr	dr	PROPN
ejpam-3426	446	6	.	.	PROPN
ejpam-3426	446	7	muhammad	muhammad	PROPN
ejpam-3426	446	8	jamil	jamil	PROPN
ejpam-3426	446	9	and	and	CCONJ
ejpam-3426	446	10	muhammad	muhammad	PROPN
ejpam-3426	446	11	zafarullah	zafarullah	PROPN
ejpam-3426	446	12	,	,	PUNCT
ejpam-3426	446	13	are	be	AUX
ejpam-3426	446	14	thoroughly	thoroughly	ADV
ejpam-3426	446	15	obliged	oblige	VERB
ejpam-3426	446	16	to	to	ADP
ejpam-3426	446	17	the	the	DET
ejpam-3426	446	18	department	department	NOUN
ejpam-3426	446	19	of	of	ADP
ejpam-3426	446	20	mathematics	mathematics	PROPN
ejpam-3426	446	21	,	,	PUNCT
ejpam-3426	446	22	ned	ned	PROPN
ejpam-3426	446	23	university	university	PROPN
ejpam-3426	446	24	of	of	ADP
ejpam-3426	446	25	engineering	engineering	PROPN
ejpam-3426	446	26	&	&	CCONJ
ejpam-3426	446	27	technology	technology	PROPN
ejpam-3426	446	28	,	,	PUNCT
ejpam-3426	446	29	karachi-75270	karachi-75270	INTJ
ejpam-3426	446	30	,	,	PUNCT
ejpam-3426	446	31	pakistan	pakistan	PROPN
ejpam-3426	446	32	and	and	CCONJ
ejpam-3426	446	33	also	also	ADV
ejpam-3426	446	34	would	would	AUX
ejpam-3426	446	35	like	like	VERB
ejpam-3426	446	36	to	to	PART
ejpam-3426	446	37	express	express	VERB
ejpam-3426	446	38	their	their	PRON
ejpam-3426	446	39	gratitude	gratitude	NOUN
ejpam-3426	446	40	to	to	ADP
ejpam-3426	446	41	higher	high	ADJ
ejpam-3426	446	42	education	education	NOUN
ejpam-3426	446	43	commission	commission	NOUN
ejpam-3426	446	44	of	of	ADP
ejpam-3426	446	45	pakistan	pakistan	PROPN
ejpam-3426	446	46	for	for	ADP
ejpam-3426	446	47	assisting	assist	VERB
ejpam-3426	446	48	and	and	CCONJ
ejpam-3426	446	49	facilitating	facilitate	VERB
ejpam-3426	446	50	this	this	DET
ejpam-3426	446	51	research	research	NOUN
ejpam-3426	446	52	work	work	NOUN
ejpam-3426	446	53	.	.	PUNCT
ejpam-3426	447	1	references	reference	NOUN
ejpam-3426	447	2	[	[	X
ejpam-3426	447	3	1	1	NUM
ejpam-3426	447	4	]	]	PUNCT
ejpam-3426	447	5	m.	m.	PROPN
ejpam-3426	447	6	r.	r.	PROPN
ejpam-3426	447	7	salimpour	salimpour	PROPN
ejpam-3426	447	8	a.	a.	PROPN
ejpam-3426	447	9	f.	f.	PROPN
ejpam-3426	447	10	dizaji	dizaji	PROPN
ejpam-3426	447	11	and	and	CCONJ
ejpam-3426	447	12	f.	f.	PROPN
ejpam-3426	447	13	jam	jam	PROPN
ejpam-3426	447	14	.	.	PUNCT
ejpam-3426	448	1	flow	flow	NOUN
ejpam-3426	448	2	field	field	NOUN
ejpam-3426	448	3	of	of	ADP
ejpam-3426	448	4	a	a	DET
ejpam-3426	448	5	third	third	ADJ
ejpam-3426	448	6	grade	grade	NOUN
ejpam-3426	448	7	non	non	X
ejpam-3426	448	8	newtonian	newtonian	ADJ
ejpam-3426	448	9	fluid	fluid	NOUN
ejpam-3426	448	10	in	in	ADP
ejpam-3426	448	11	the	the	DET
ejpam-3426	448	12	annulus	annulus	NOUN
ejpam-3426	448	13	of	of	ADP
ejpam-3426	448	14	rotating	rotate	VERB
ejpam-3426	448	15	concentric	concentric	ADJ
ejpam-3426	448	16	cylinders	cylinder	NOUN
ejpam-3426	448	17	in	in	ADP
ejpam-3426	448	18	the	the	DET
ejpam-3426	448	19	presence	presence	NOUN
ejpam-3426	448	20	of	of	ADP
ejpam-3426	448	21	magnetic	magnetic	ADJ
ejpam-3426	448	22	field	field	NOUN
ejpam-3426	448	23	.	.	PUNCT
ejpam-3426	449	1	j.	j.	PROPN
ejpam-3426	449	2	math	math	PROPN
ejpam-3426	449	3	.	.	PUNCT
ejpam-3426	450	1	anal	anal	PROPN
ejpam-3426	450	2	.	.	PUNCT
ejpam-3426	451	1	appl	appl	PROPN
ejpam-3426	451	2	.	.	PROPN
ejpam-3426	451	3	,	,	PUNCT
ejpam-3426	451	4	337:632–645	337:632–645	NUM
ejpam-3426	451	5	,	,	PUNCT
ejpam-3426	451	6	2008	2008	NUM
ejpam-3426	451	7	.	.	PUNCT
ejpam-3426	452	1	[	[	X
ejpam-3426	452	2	2	2	NUM
ejpam-3426	452	3	]	]	PUNCT
ejpam-3426	452	4	x.	x.	NOUN
ejpam-3426	452	5	zhang	zhang	PROPN
ejpam-3426	452	6	d.	d.	PROPN
ejpam-3426	452	7	tong	tong	PROPN
ejpam-3426	452	8	and	and	CCONJ
ejpam-3426	452	9	xinhong	xinhong	PROPN
ejpam-3426	452	10	zhang	zhang	PROPN
ejpam-3426	452	11	.	.	PUNCT
ejpam-3426	453	1	unsteady	unsteady	ADJ
ejpam-3426	453	2	helical	helical	ADJ
ejpam-3426	453	3	flows	flow	NOUN
ejpam-3426	453	4	of	of	ADP
ejpam-3426	453	5	a	a	DET
ejpam-3426	453	6	generalized	generalize	VERB
ejpam-3426	453	7	oldroyd	oldroyd	VERB
ejpam-3426	453	8	-	-	PUNCT
ejpam-3426	453	9	b	b	NOUN
ejpam-3426	453	10	fluid	fluid	NOUN
ejpam-3426	453	11	.	.	PUNCT
ejpam-3426	454	1	journal	journal	PROPN
ejpam-3426	454	2	of	of	ADP
ejpam-3426	454	3	non	non	ADJ
ejpam-3426	454	4	-	-	ADJ
ejpam-3426	454	5	newtonian	newtonian	ADJ
ejpam-3426	454	6	fluid	fluid	ADJ
ejpam-3426	454	7	mechanics	mechanic	NOUN
ejpam-3426	454	8	,	,	PUNCT
ejpam-3426	454	9	156:75–83	156:75–83	NUM
ejpam-3426	454	10	,	,	PUNCT
ejpam-3426	454	11	2009	2009	NUM
ejpam-3426	454	12	.	.	PUNCT
ejpam-3426	455	1	references	reference	NOUN
ejpam-3426	455	2	1174	1174	NUM
ejpam-3426	455	3	[	[	X
ejpam-3426	455	4	3	3	NUM
ejpam-3426	455	5	]	]	X
ejpam-3426	455	6	l.	l.	PROPN
ejpam-3426	455	7	debnath	debnath	PROPN
ejpam-3426	455	8	and	and	CCONJ
ejpam-3426	455	9	d.	d.	PROPN
ejpam-3426	455	10	bhatta	bhatta	PROPN
ejpam-3426	455	11	.	.	PUNCT
ejpam-3426	456	1	integral	integral	ADJ
ejpam-3426	456	2	transforms	transform	NOUN
ejpam-3426	456	3	and	and	CCONJ
ejpam-3426	456	4	their	their	PRON
ejpam-3426	456	5	applications	application	NOUN
ejpam-3426	456	6	(	(	PUNCT
ejpam-3426	456	7	second	second	ADJ
ejpam-3426	456	8	ed	ed	NOUN
ejpam-3426	456	9	.	.	PUNCT
ejpam-3426	456	10	)	)	PUNCT
ejpam-3426	456	11	.	.	PUNCT
ejpam-3426	457	1	chapman	chapman	NOUN
ejpam-3426	457	2	and	and	CCONJ
ejpam-3426	457	3	hall/	hall/	NUM
ejpam-3426	457	4	crc	crc	PROPN
ejpam-3426	457	5	press	press	PROPN
ejpam-3426	457	6	,	,	PUNCT
ejpam-3426	457	7	boca	boca	PROPN
ejpam-3426	457	8	-	-	PUNCT
ejpam-3426	457	9	raton	raton	PROPN
ejpam-3426	457	10	-	-	PUNCT
ejpam-3426	457	11	london	london	PROPN
ejpam-3426	457	12	-	-	PUNCT
ejpam-3426	457	13	new	new	PROPN
ejpam-3426	457	14	york	york	PROPN
ejpam-3426	457	15	,	,	PUNCT
ejpam-3426	457	16	2007	2007	NUM
ejpam-3426	457	17	.	.	PUNCT
ejpam-3426	458	1	[	[	X
ejpam-3426	458	2	4	4	NUM
ejpam-3426	458	3	]	]	PUNCT
ejpam-3426	458	4	asset	asset	NOUN
ejpam-3426	458	5	durmagambetov	durmagambetov	NOUN
ejpam-3426	458	6	.	.	PUNCT
ejpam-3426	459	1	global	global	ADJ
ejpam-3426	459	2	estimation	estimation	NOUN
ejpam-3426	459	3	of	of	ADP
ejpam-3426	459	4	the	the	DET
ejpam-3426	459	5	cauchy	cauchy	PROPN
ejpam-3426	459	6	problem	problem	NOUN
ejpam-3426	459	7	solution	solution	NOUN
ejpam-3426	459	8	and	and	CCONJ
ejpam-3426	459	9	blow	blow	VERB
ejpam-3426	459	10	up	up	ADP
ejpam-3426	459	11	the	the	DET
ejpam-3426	459	12	navier	navier	NOUN
ejpam-3426	459	13	-	-	PUNCT
ejpam-3426	459	14	stokes	stoke	NOUN
ejpam-3426	459	15	equation	equation	NOUN
ejpam-3426	459	16	.	.	PUNCT
ejpam-3426	460	1	european	european	PROPN
ejpam-3426	460	2	journal	journal	PROPN
ejpam-3426	460	3	of	of	ADP
ejpam-3426	460	4	pure	pure	ADJ
ejpam-3426	460	5	and	and	CCONJ
ejpam-3426	460	6	applied	applied	ADJ
ejpam-3426	460	7	mathematic	mathematic	ADJ
ejpam-3426	460	8	,	,	PUNCT
ejpam-3426	460	9	10:763–785	10:763–785	NUM
ejpam-3426	460	10	,	,	PUNCT
ejpam-3426	460	11	2017	2017	NUM
ejpam-3426	460	12	.	.	PUNCT
ejpam-3426	461	1	[	[	X
ejpam-3426	461	2	5	5	X
ejpam-3426	461	3	]	]	PUNCT
ejpam-3426	461	4	zakia	zakia	NOUN
ejpam-3426	461	5	hammouch	hammouch	PROPN
ejpam-3426	461	6	.	.	PUNCT
ejpam-3426	462	1	multiple	multiple	ADJ
ejpam-3426	462	2	solutions	solution	NOUN
ejpam-3426	462	3	of	of	ADP
ejpam-3426	462	4	steady	steady	ADJ
ejpam-3426	462	5	mhd	mhd	NOUN
ejpam-3426	462	6	flow	flow	NOUN
ejpam-3426	462	7	of	of	ADP
ejpam-3426	462	8	dilatant	dilatant	ADJ
ejpam-3426	462	9	fluids	fluid	NOUN
ejpam-3426	462	10	.	.	PUNCT
ejpam-3426	463	1	european	european	ADJ
ejpam-3426	463	2	journal	journal	PROPN
ejpam-3426	463	3	of	of	ADP
ejpam-3426	463	4	pure	pure	ADJ
ejpam-3426	463	5	and	and	CCONJ
ejpam-3426	463	6	applied	applied	ADJ
ejpam-3426	463	7	mathematics	mathematic	NOUN
ejpam-3426	463	8	,	,	PUNCT
ejpam-3426	463	9	1:11–20	1:11–20	NUM
ejpam-3426	463	10	,	,	PUNCT
ejpam-3426	463	11	2008	2008	NUM
ejpam-3426	463	12	.	.	PUNCT
ejpam-3426	464	1	[	[	X
ejpam-3426	464	2	6	6	X
ejpam-3426	464	3	]	]	PUNCT
ejpam-3426	464	4	s.	s.	PROPN
ejpam-3426	464	5	e.	e.	PROPN
ejpam-3426	464	6	e.	e.	PROPN
ejpam-3426	464	7	hamza	hamza	PROPN
ejpam-3426	464	8	.	.	PUNCT
ejpam-3426	465	1	effect	effect	NOUN
ejpam-3426	465	2	of	of	ADP
ejpam-3426	465	3	uniform	uniform	ADJ
ejpam-3426	465	4	suction	suction	NOUN
ejpam-3426	465	5	on	on	ADP
ejpam-3426	465	6	mhd	mhd	PROPN
ejpam-3426	465	7	flow	flow	NOUN
ejpam-3426	465	8	through	through	ADP
ejpam-3426	465	9	porous	porous	ADJ
ejpam-3426	465	10	medium	medium	NOUN
ejpam-3426	465	11	due	due	ADP
ejpam-3426	465	12	to	to	ADP
ejpam-3426	465	13	a	a	DET
ejpam-3426	465	14	rotating	rotate	VERB
ejpam-3426	465	15	disk	disk	NOUN
ejpam-3426	465	16	.	.	PUNCT
ejpam-3426	466	1	international	international	ADJ
ejpam-3426	466	2	journal	journal	PROPN
ejpam-3426	466	3	of	of	ADP
ejpam-3426	466	4	scientific	scientific	PROPN
ejpam-3426	466	5	&	&	CCONJ
ejpam-3426	466	6	engineering	engineering	NOUN
ejpam-3426	466	7	research	research	NOUN
ejpam-3426	466	8	,	,	PUNCT
ejpam-3426	466	9	5:896	5:896	NUM
ejpam-3426	466	10	,	,	PUNCT
ejpam-3426	466	11	2014	2014	NUM
ejpam-3426	466	12	.	.	PUNCT
ejpam-3426	467	1	[	[	X
ejpam-3426	467	2	7	7	X
ejpam-3426	467	3	]	]	X
ejpam-3426	467	4	o.	o.	PROPN
ejpam-3426	467	5	s.	s.	PROPN
ejpam-3426	467	6	iyiola	iyiola	PROPN
ejpam-3426	467	7	and	and	CCONJ
ejpam-3426	467	8	s.	s.	PROPN
ejpam-3426	467	9	b.	b.	PROPN
ejpam-3426	467	10	folarin	folarin	PROPN
ejpam-3426	467	11	.	.	PUNCT
ejpam-3426	468	1	approximate	approximate	ADJ
ejpam-3426	468	2	analytical	analytical	ADJ
ejpam-3426	468	3	study	study	NOUN
ejpam-3426	468	4	of	of	ADP
ejpam-3426	468	5	fingero	fingero	NOUN
ejpam-3426	468	6	-	-	PUNCT
ejpam-3426	468	7	imbibition	imbibition	NOUN
ejpam-3426	468	8	phenomena	phenomenon	NOUN
ejpam-3426	468	9	of	of	ADP
ejpam-3426	468	10	time	time	NOUN
ejpam-3426	468	11	-	-	PUNCT
ejpam-3426	468	12	fractional	fractional	ADJ
ejpam-3426	468	13	type	type	NOUN
ejpam-3426	468	14	in	in	ADP
ejpam-3426	468	15	double	double	ADJ
ejpam-3426	468	16	phase	phase	NOUN
ejpam-3426	468	17	flow	flow	NOUN
ejpam-3426	468	18	through	through	ADP
ejpam-3426	468	19	porous	porous	ADJ
ejpam-3426	468	20	media	medium	NOUN
ejpam-3426	468	21	.	.	PUNCT
ejpam-3426	469	1	european	european	ADJ
ejpam-3426	469	2	journal	journal	PROPN
ejpam-3426	469	3	of	of	ADP
ejpam-3426	469	4	pure	pure	ADJ
ejpam-3426	469	5	and	and	CCONJ
ejpam-3426	469	6	applied	applied	ADJ
ejpam-3426	469	7	mathematics	mathematic	NOUN
ejpam-3426	469	8	,	,	PUNCT
ejpam-3426	469	9	7:210–229	7:210–229	NUM
ejpam-3426	469	10	,	,	PUNCT
ejpam-3426	469	11	2014	2014	NUM
ejpam-3426	469	12	.	.	PUNCT
ejpam-3426	470	1	[	[	X
ejpam-3426	470	2	8	8	NUM
ejpam-3426	470	3	]	]	PUNCT
ejpam-3426	470	4	b.	b.	PROPN
ejpam-3426	470	5	k.	k.	PROPN
ejpam-3426	470	6	jha	jha	PROPN
ejpam-3426	470	7	and	and	CCONJ
ejpam-3426	470	8	c.	c.	PROPN
ejpam-3426	470	9	a.	a.	PROPN
ejpam-3426	470	10	apere	apere	PROPN
ejpam-3426	470	11	.	.	PUNCT
ejpam-3426	471	1	time	time	NOUN
ejpam-3426	471	2	-	-	PUNCT
ejpam-3426	471	3	dependent	dependent	ADJ
ejpam-3426	471	4	mhd	mhd	NOUN
ejpam-3426	471	5	couette	couette	NOUN
ejpam-3426	471	6	flow	flow	NOUN
ejpam-3426	471	7	in	in	ADP
ejpam-3426	471	8	a	a	DET
ejpam-3426	471	9	porous	porous	ADJ
ejpam-3426	471	10	annulus	annulus	NOUN
ejpam-3426	471	11	.	.	PUNCT
ejpam-3426	472	1	communications	communication	NOUN
ejpam-3426	472	2	in	in	ADP
ejpam-3426	472	3	nonlinear	nonlinear	ADJ
ejpam-3426	472	4	science	science	NOUN
ejpam-3426	472	5	and	and	CCONJ
ejpam-3426	472	6	numerical	numerical	PROPN
ejpam-3426	472	7	simulation	simulation	PROPN
ejpam-3426	472	8	,	,	PUNCT
ejpam-3426	472	9	18:1959–1969	18:1959–1969	NUM
ejpam-3426	472	10	,	,	PUNCT
ejpam-3426	472	11	2013	2013	NUM
ejpam-3426	472	12	.	.	PUNCT
ejpam-3426	473	1	[	[	X
ejpam-3426	473	2	9	9	NUM
ejpam-3426	473	3	]	]	PUNCT
ejpam-3426	473	4	k.	k.	PROPN
ejpam-3426	473	5	khandelwal	khandelwal	PROPN
ejpam-3426	473	6	and	and	CCONJ
ejpam-3426	473	7	v.	v.	ADP
ejpam-3426	473	8	mathur	mathur	PROPN
ejpam-3426	473	9	.	.	PUNCT
ejpam-3426	474	1	exact	exact	ADJ
ejpam-3426	474	2	solutions	solution	NOUN
ejpam-3426	474	3	for	for	ADP
ejpam-3426	474	4	an	an	DET
ejpam-3426	474	5	unsteady	unsteady	ADJ
ejpam-3426	474	6	flow	flow	NOUN
ejpam-3426	474	7	of	of	ADP
ejpam-3426	474	8	viscoelastic	viscoelastic	ADJ
ejpam-3426	474	9	fluid	fluid	NOUN
ejpam-3426	474	10	in	in	ADP
ejpam-3426	474	11	cylindrical	cylindrical	ADJ
ejpam-3426	474	12	domains	domain	NOUN
ejpam-3426	474	13	using	use	VERB
ejpam-3426	474	14	the	the	DET
ejpam-3426	474	15	fractional	fractional	ADJ
ejpam-3426	474	16	maxwell	maxwell	PROPN
ejpam-3426	474	17	model	model	PROPN
ejpam-3426	474	18	.	.	PUNCT
ejpam-3426	475	1	international	international	ADJ
ejpam-3426	475	2	journal	journal	PROPN
ejpam-3426	475	3	of	of	ADP
ejpam-3426	475	4	applied	applied	ADJ
ejpam-3426	475	5	and	and	CCONJ
ejpam-3426	475	6	computational	computational	ADJ
ejpam-3426	475	7	mathematics	mathematic	NOUN
ejpam-3426	475	8	,	,	PUNCT
ejpam-3426	475	9	1:143–156	1:143–156	PROPN
ejpam-3426	475	10	,	,	PUNCT
ejpam-3426	475	11	2015	2015	NUM
ejpam-3426	475	12	.	.	PUNCT
ejpam-3426	476	1	[	[	X
ejpam-3426	476	2	10	10	NUM
ejpam-3426	476	3	]	]	X
ejpam-3426	476	4	j.	j.	PROPN
ejpam-3426	476	5	hatami	hatami	PROPN
ejpam-3426	476	6	m.	m.	PROPN
ejpam-3426	476	7	hatami	hatami	PROPN
ejpam-3426	476	8	and	and	CCONJ
ejpam-3426	476	9	d.	d.	PROPN
ejpam-3426	476	10	d.	d.	PROPN
ejpam-3426	476	11	ganji	ganji	PROPN
ejpam-3426	476	12	.	.	PUNCT
ejpam-3426	477	1	computer	computer	NOUN
ejpam-3426	477	2	simulation	simulation	NOUN
ejpam-3426	477	3	of	of	ADP
ejpam-3426	477	4	mhd	mhd	NOUN
ejpam-3426	477	5	blood	blood	NOUN
ejpam-3426	477	6	conveying	convey	VERB
ejpam-3426	477	7	gold	gold	ADJ
ejpam-3426	477	8	nano	nano	NOUN
ejpam-3426	477	9	particles	particle	NOUN
ejpam-3426	477	10	as	as	ADP
ejpam-3426	477	11	a	a	DET
ejpam-3426	477	12	third	third	ADJ
ejpam-3426	477	13	grade	grade	NOUN
ejpam-3426	477	14	non	non	X
ejpam-3426	477	15	newtonian	newtonian	ADJ
ejpam-3426	477	16	nano	nano	NOUN
ejpam-3426	477	17	fluid	fluid	NOUN
ejpam-3426	477	18	in	in	ADP
ejpam-3426	477	19	a	a	DET
ejpam-3426	477	20	hollow	hollow	ADJ
ejpam-3426	477	21	porous	porous	ADJ
ejpam-3426	477	22	vessel	vessel	NOUN
ejpam-3426	477	23	.	.	PUNCT
ejpam-3426	478	1	computer	computer	NOUN
ejpam-3426	478	2	methods	method	NOUN
ejpam-3426	478	3	and	and	CCONJ
ejpam-3426	478	4	programs	program	NOUN
ejpam-3426	478	5	in	in	ADP
ejpam-3426	478	6	biomedicine	biomedicine	NOUN
ejpam-3426	478	7	,	,	PUNCT
ejpam-3426	478	8	113:632–641	113:632–641	NUM
ejpam-3426	478	9	,	,	PUNCT
ejpam-3426	478	10	2014	2014	NUM
ejpam-3426	478	11	.	.	PUNCT
ejpam-3426	479	1	[	[	X
ejpam-3426	479	2	11	11	NUM
ejpam-3426	479	3	]	]	X
ejpam-3426	479	4	c.	c.	PROPN
ejpam-3426	479	5	fetecau	fetecau	PROPN
ejpam-3426	479	6	m.	m.	PROPN
ejpam-3426	479	7	jamil	jamil	PROPN
ejpam-3426	479	8	,	,	PUNCT
ejpam-3426	479	9	a.	a.	PROPN
ejpam-3426	479	10	rauf	rauf	PROPN
ejpam-3426	479	11	and	and	CCONJ
ejpam-3426	479	12	n.	n.	PROPN
ejpam-3426	479	13	a.	a.	PROPN
ejpam-3426	479	14	khan	khan	PROPN
ejpam-3426	479	15	.	.	PUNCT
ejpam-3426	480	1	helical	helical	ADJ
ejpam-3426	480	2	flows	flow	NOUN
ejpam-3426	480	3	of	of	ADP
ejpam-3426	480	4	second	second	ADJ
ejpam-3426	480	5	grade	grade	NOUN
ejpam-3426	480	6	fluid	fluid	NOUN
ejpam-3426	480	7	due	due	ADJ
ejpam-3426	480	8	to	to	PART
ejpam-3426	480	9	constantly	constantly	ADV
ejpam-3426	480	10	accelerated	accelerate	VERB
ejpam-3426	480	11	shear	shear	NOUN
ejpam-3426	480	12	stresses	stress	NOUN
ejpam-3426	480	13	.	.	PUNCT
ejpam-3426	481	1	comm	comm	NOUN
ejpam-3426	481	2	in	in	ADP
ejpam-3426	481	3	nonlinear	nonlinear	PROPN
ejpam-3426	481	4	sc	sc	PROPN
ejpam-3426	481	5	and	and	CCONJ
ejpam-3426	481	6	numsimul	numsimul	ADJ
ejpam-3426	481	7	,	,	PUNCT
ejpam-3426	481	8	16:1959–1969	16:1959–1969	NUM
ejpam-3426	481	9	,	,	PUNCT
ejpam-3426	481	10	2011	2011	NUM
ejpam-3426	481	11	.	.	PUNCT
ejpam-3426	482	1	[	[	X
ejpam-3426	482	2	12	12	NUM
ejpam-3426	482	3	]	]	X
ejpam-3426	482	4	c.	c.	PROPN
ejpam-3426	482	5	fetecau	fetecau	PROPN
ejpam-3426	482	6	m.	m.	PROPN
ejpam-3426	482	7	khan	khan	PROPN
ejpam-3426	482	8	,	,	PUNCT
ejpam-3426	482	9	e.	e.	PROPN
ejpam-3426	482	10	naheed	naheed	PROPN
ejpam-3426	482	11	and	and	CCONJ
ejpam-3426	482	12	t.	t.	PROPN
ejpam-3426	482	13	hayat	hayat	PROPN
ejpam-3426	482	14	.	.	PUNCT
ejpam-3426	483	1	exact	exact	ADJ
ejpam-3426	483	2	solutions	solution	NOUN
ejpam-3426	483	3	of	of	ADP
ejpam-3426	483	4	starting	start	VERB
ejpam-3426	483	5	flows	flow	NOUN
ejpam-3426	483	6	for	for	ADP
ejpam-3426	483	7	second	second	ADJ
ejpam-3426	483	8	grade	grade	NOUN
ejpam-3426	483	9	fluid	fluid	NOUN
ejpam-3426	483	10	in	in	ADP
ejpam-3426	483	11	a	a	DET
ejpam-3426	483	12	porous	porous	ADJ
ejpam-3426	483	13	medium	medium	NOUN
ejpam-3426	483	14	.	.	PUNCT
ejpam-3426	484	1	international	international	ADJ
ejpam-3426	484	2	journal	journal	PROPN
ejpam-3426	484	3	of	of	ADP
ejpam-3426	484	4	non	non	ADJ
ejpam-3426	484	5	-	-	ADJ
ejpam-3426	484	6	linear	linear	ADJ
ejpam-3426	484	7	mechanics	mechanic	NOUN
ejpam-3426	484	8	,	,	PUNCT
ejpam-3426	484	9	43:868–879	43:868–879	NUM
ejpam-3426	484	10	,	,	PUNCT
ejpam-3426	484	11	2008	2008	NUM
ejpam-3426	484	12	.	.	PUNCT
ejpam-3426	485	1	[	[	X
ejpam-3426	485	2	13	13	NUM
ejpam-3426	485	3	]	]	X
ejpam-3426	485	4	f.	f.	PROPN
ejpam-3426	485	5	m.	m.	PROPN
ejpam-3426	485	6	mahomed	mahome	VERB
ejpam-3426	485	7	r.	r.	PROPN
ejpam-3426	485	8	ellahi	ellahi	PROPN
ejpam-3426	485	9	,	,	PUNCT
ejpam-3426	485	10	t.	t.	PROPN
ejpam-3426	485	11	hayat	hayat	PROPN
ejpam-3426	485	12	and	and	CCONJ
ejpam-3426	485	13	a.	a.	PROPN
ejpam-3426	485	14	zeeshan	zeeshan	PROPN
ejpam-3426	485	15	.	.	PUNCT
ejpam-3426	486	1	analytic	analytic	ADJ
ejpam-3426	486	2	solutions	solution	NOUN
ejpam-3426	486	3	for	for	ADP
ejpam-3426	486	4	mhd	mhd	NOUN
ejpam-3426	486	5	flow	flow	NOUN
ejpam-3426	486	6	in	in	ADP
ejpam-3426	486	7	an	an	DET
ejpam-3426	486	8	annulus	annulus	NOUN
ejpam-3426	486	9	.	.	PUNCT
ejpam-3426	487	1	commun	commun	PROPN
ejpam-3426	487	2	nonlinear	nonlinear	PROPN
ejpam-3426	487	3	sci	sci	PROPN
ejpam-3426	487	4	numer	numer	PROPN
ejpam-3426	487	5	simulat	simulat	PROPN
ejpam-3426	487	6	,	,	PUNCT
ejpam-3426	487	7	15:1224–1227	15:1224–1227	NUM
ejpam-3426	487	8	,	,	PUNCT
ejpam-3426	487	9	2010	2010	NUM
ejpam-3426	487	10	.	.	PUNCT
ejpam-3426	488	1	[	[	X
ejpam-3426	488	2	14	14	NUM
ejpam-3426	488	3	]	]	X
ejpam-3426	488	4	gh	gh	PROPN
ejpam-3426	488	5	.	.	PROPN
ejpam-3426	488	6	r.	r.	PROPN
ejpam-3426	488	7	mehdizadeh	mehdizadeh	PROPN
ejpam-3426	488	8	ahangar	ahangar	PROPN
ejpam-3426	488	9	s.	s.	PROPN
ejpam-3426	488	10	e.	e.	PROPN
ejpam-3426	488	11	ghasemi	ghasemi	PROPN
ejpam-3426	488	12	,	,	PUNCT
ejpam-3426	488	13	m.	m.	NOUN
ejpam-3426	488	14	hatami	hatami	PROPN
ejpam-3426	488	15	and	and	CCONJ
ejpam-3426	488	16	d.	d.	PROPN
ejpam-3426	488	17	d.	d.	PROPN
ejpam-3426	488	18	ganji	ganji	PROPN
ejpam-3426	488	19	.	.	PUNCT
ejpam-3426	489	1	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-3426	489	2	flow	flow	NOUN
ejpam-3426	489	3	analysis	analysis	NOUN
ejpam-3426	489	4	in	in	ADP
ejpam-3426	489	5	a	a	DET
ejpam-3426	489	6	circular	circular	ADJ
ejpam-3426	489	7	cylindrical	cylindrical	ADJ
ejpam-3426	489	8	conduit	conduit	NOUN
ejpam-3426	489	9	using	use	VERB
ejpam-3426	489	10	least	least	ADJ
ejpam-3426	489	11	square	square	ADJ
ejpam-3426	489	12	method	method	NOUN
ejpam-3426	489	13	.	.	PUNCT
ejpam-3426	490	1	journal	journal	NOUN
ejpam-3426	490	2	of	of	ADP
ejpam-3426	490	3	electrostatics	electrostatic	NOUN
ejpam-3426	490	4	,	,	PUNCT
ejpam-3426	490	5	72:47–52	72:47–52	NUM
ejpam-3426	490	6	,	,	PUNCT
ejpam-3426	490	7	2014	2014	NUM
ejpam-3426	490	8	.	.	PUNCT
ejpam-3426	491	1	[	[	X
ejpam-3426	491	2	15	15	NUM
ejpam-3426	491	3	]	]	X
ejpam-3426	491	4	s.	s.	PROPN
ejpam-3426	491	5	bajwa	bajwa	PROPN
ejpam-3426	491	6	n.	n.	PROPN
ejpam-3426	491	7	a.	a.	PROPN
ejpam-3426	491	8	khan	khan	PROPN
ejpam-3426	491	9	m.	m.	PROPN
ejpam-3426	491	10	tanveer	tanveer	PROPN
ejpam-3426	491	11	s.	s.	PROPN
ejpam-3426	491	12	ullah	ullah	PROPN
ejpam-3426	491	13	,	,	PUNCT
ejpam-3426	491	14	n.	n.	PROPN
ejpam-3426	491	15	a.	a.	PROPN
ejpam-3426	491	16	khan	khan	PROPN
ejpam-3426	491	17	and	and	CCONJ
ejpam-3426	491	18	k.	k.	PROPN
ejpam-3426	491	19	liaqat	liaqat	PROPN
ejpam-3426	491	20	.	.	PUNCT
ejpam-3426	492	1	some	some	DET
ejpam-3426	492	2	exact	exact	ADJ
ejpam-3426	492	3	solutions	solution	NOUN
ejpam-3426	492	4	for	for	ADP
ejpam-3426	492	5	the	the	DET
ejpam-3426	492	6	rotational	rotational	ADJ
ejpam-3426	492	7	flow	flow	NOUN
ejpam-3426	492	8	of	of	ADP
ejpam-3426	492	9	oldroyd	oldroyd	VERB
ejpam-3426	492	10	-	-	PUNCT
ejpam-3426	492	11	b	b	NOUN
ejpam-3426	492	12	fluid	fluid	NOUN
ejpam-3426	492	13	between	between	ADP
ejpam-3426	492	14	two	two	NUM
ejpam-3426	492	15	circular	circular	ADJ
ejpam-3426	492	16	cylinders	cylinder	NOUN
ejpam-3426	492	17	.	.	PUNCT
ejpam-3426	493	1	advances	advance	NOUN
ejpam-3426	493	2	in	in	ADP
ejpam-3426	493	3	mechanical	mechanical	ADJ
ejpam-3426	493	4	engineering	engineering	NOUN
ejpam-3426	493	5	,	,	PUNCT
ejpam-3426	493	6	9:1–15	9:1–15	NUM
ejpam-3426	493	7	,	,	PUNCT
ejpam-3426	493	8	2017	2017	NUM
ejpam-3426	493	9	.	.	PUNCT
ejpam-3426	494	1	references	reference	NOUN
ejpam-3426	494	2	1175	1175	NUM
ejpam-3426	495	1	[	[	X
ejpam-3426	495	2	16	16	NUM
ejpam-3426	495	3	]	]	X
ejpam-3426	495	4	c.	c.	PROPN
ejpam-3426	495	5	fetecaua	fetecaua	PROPN
ejpam-3426	495	6	t.	t.	PROPN
ejpam-3426	495	7	hayat	hayat	PROPN
ejpam-3426	495	8	and	and	CCONJ
ejpam-3426	495	9	m.	m.	PROPN
ejpam-3426	495	10	sajid	sajid	PROPN
ejpam-3426	495	11	.	.	PUNCT
ejpam-3426	496	1	analytic	analytic	ADJ
ejpam-3426	496	2	solution	solution	NOUN
ejpam-3426	496	3	for	for	ADP
ejpam-3426	496	4	mhd	mhd	PROPN
ejpam-3426	496	5	transient	transient	ADJ
ejpam-3426	496	6	rotating	rotating	NOUN
ejpam-3426	496	7	flow	flow	NOUN
ejpam-3426	496	8	of	of	ADP
ejpam-3426	496	9	a	a	DET
ejpam-3426	496	10	second	second	ADJ
ejpam-3426	496	11	grade	grade	NOUN
ejpam-3426	496	12	fluid	fluid	NOUN
ejpam-3426	496	13	in	in	ADP
ejpam-3426	496	14	a	a	DET
ejpam-3426	496	15	porous	porous	ADJ
ejpam-3426	496	16	space	space	NOUN
ejpam-3426	496	17	.	.	PUNCT
ejpam-3426	497	1	nonlinear	nonlinear	ADJ
ejpam-3426	497	2	analysis	analysis	NOUN
ejpam-3426	497	3	:	:	PUNCT
ejpam-3426	497	4	real	real	ADJ
ejpam-3426	497	5	world	world	NOUN
ejpam-3426	497	6	applications	application	NOUN
ejpam-3426	497	7	,	,	PUNCT
ejpam-3426	497	8	9:1619–1627	9:1619–1627	NUM
ejpam-3426	497	9	,	,	PUNCT
ejpam-3426	497	10	2008	2008	NUM
ejpam-3426	497	11	.	.	PUNCT
ejpam-3426	498	1	[	[	X
ejpam-3426	498	2	17	17	NUM
ejpam-3426	498	3	]	]	PUNCT
ejpam-3426	498	4	m.	m.	NOUN
ejpam-3426	498	5	qasim	qasim	PROPN
ejpam-3426	498	6	t.	t.	PROPN
ejpam-3426	498	7	hayat	hayat	PROPN
ejpam-3426	498	8	,	,	PUNCT
ejpam-3426	498	9	s.	s.	PROPN
ejpam-3426	498	10	a.	a.	PROPN
ejpam-3426	498	11	shehzad	shehzad	PROPN
ejpam-3426	498	12	and	and	CCONJ
ejpam-3426	498	13	s.	s.	PROPN
ejpam-3426	498	14	obaidat	obaidat	PROPN
ejpam-3426	498	15	.	.	PUNCT
ejpam-3426	499	1	flow	flow	NOUN
ejpam-3426	499	2	of	of	ADP
ejpam-3426	499	3	a	a	DET
ejpam-3426	499	4	second	second	ADJ
ejpam-3426	499	5	grade	grade	NOUN
ejpam-3426	499	6	fluid	fluid	NOUN
ejpam-3426	499	7	with	with	ADP
ejpam-3426	499	8	convective	convective	ADJ
ejpam-3426	499	9	boundary	boundary	ADJ
ejpam-3426	499	10	conditions	condition	NOUN
ejpam-3426	499	11	.	.	PUNCT
ejpam-3426	500	1	thermal	thermal	ADJ
ejpam-3426	500	2	science	science	NOUN
ejpam-3426	500	3	,	,	PUNCT
ejpam-3426	500	4	15:253–261	15:253–261	PROPN
ejpam-3426	500	5	,	,	PUNCT
ejpam-3426	500	6	2011	2011	NUM
ejpam-3426	500	7	.	.	PUNCT
ejpam-3426	501	1	[	[	X
ejpam-3426	501	2	18	18	NUM
ejpam-3426	501	3	]	]	X
ejpam-3426	501	4	n.	n.	PROPN
ejpam-3426	501	5	ahmed	ahmed	PROPN
ejpam-3426	501	6	t.	t.	PROPN
ejpam-3426	501	7	hayat	hayat	PROPN
ejpam-3426	501	8	and	and	CCONJ
ejpam-3426	501	9	m.	m.	PROPN
ejpam-3426	501	10	sajid	sajid	PROPN
ejpam-3426	501	11	.	.	PUNCT
ejpam-3426	502	1	analytic	analytic	ADJ
ejpam-3426	502	2	solution	solution	NOUN
ejpam-3426	502	3	for	for	ADP
ejpam-3426	502	4	mhd	mhd	NOUN
ejpam-3426	502	5	flow	flow	NOUN
ejpam-3426	502	6	of	of	ADP
ejpam-3426	502	7	a	a	DET
ejpam-3426	502	8	third	third	ADJ
ejpam-3426	502	9	order	order	NOUN
ejpam-3426	502	10	fluid	fluid	NOUN
ejpam-3426	502	11	in	in	ADP
ejpam-3426	502	12	a	a	DET
ejpam-3426	502	13	porous	porous	ADJ
ejpam-3426	502	14	channel	channel	NOUN
ejpam-3426	502	15	.	.	PUNCT
ejpam-3426	503	1	journal	journal	NOUN
ejpam-3426	503	2	of	of	ADP
ejpam-3426	503	3	computational	computational	ADJ
ejpam-3426	503	4	and	and	CCONJ
ejpam-3426	503	5	applied	applied	ADJ
ejpam-3426	503	6	mathematics	mathematic	NOUN
ejpam-3426	503	7	,	,	PUNCT
ejpam-3426	503	8	214:572	214:572	PROPN
ejpam-3426	503	9	–	–	PUNCT
ejpam-3426	503	10	582	582	NUM
ejpam-3426	503	11	,	,	PUNCT
ejpam-3426	503	12	2008	2008	NUM
ejpam-3426	503	13	.	.	PUNCT
ejpam-3426	504	1	[	[	X
ejpam-3426	504	2	19	19	NUM
ejpam-3426	504	3	]	]	X
ejpam-3426	504	4	s.	s.	PROPN
ejpam-3426	504	5	b.	b.	PROPN
ejpam-3426	504	6	khan	khan	PROPN
ejpam-3426	504	7	t.	t.	PROPN
ejpam-3426	504	8	hayat	hayat	PROPN
ejpam-3426	504	9	and	and	CCONJ
ejpam-3426	504	10	m.	m.	PROPN
ejpam-3426	504	11	khan	khan	PROPN
ejpam-3426	504	12	.	.	PUNCT
ejpam-3426	505	1	exact	exact	ADJ
ejpam-3426	505	2	solution	solution	NOUN
ejpam-3426	505	3	for	for	ADP
ejpam-3426	505	4	rotating	rotate	VERB
ejpam-3426	505	5	flows	flow	NOUN
ejpam-3426	505	6	of	of	ADP
ejpam-3426	505	7	a	a	DET
ejpam-3426	505	8	generalized	generalize	VERB
ejpam-3426	505	9	burgers	burger	NOUN
ejpam-3426	505	10	fluid	fluid	NOUN
ejpam-3426	505	11	in	in	ADP
ejpam-3426	505	12	a	a	DET
ejpam-3426	505	13	porous	porous	ADJ
ejpam-3426	505	14	space	space	NOUN
ejpam-3426	505	15	.	.	PUNCT
ejpam-3426	506	1	applied	apply	VERB
ejpam-3426	506	2	mathematical	mathematical	ADJ
ejpam-3426	506	3	modelling	modelling	NOUN
ejpam-3426	506	4	,	,	PUNCT
ejpam-3426	506	5	32:749–760	32:749–760	NUM
ejpam-3426	506	6	,	,	PUNCT
ejpam-3426	506	7	2008	2008	NUM
ejpam-3426	506	8	.	.	PUNCT
ejpam-3426	507	1	[	[	X
ejpam-3426	507	2	20	20	NUM
ejpam-3426	507	3	]	]	PUNCT
ejpam-3426	507	4	z.	z.	PROPN
ejpam-3426	507	5	abbas	abbas	PROPN
ejpam-3426	507	6	t.	t.	PROPN
ejpam-3426	507	7	hayat	hayat	PROPN
ejpam-3426	507	8	and	and	CCONJ
ejpam-3426	507	9	m.	m.	PROPN
ejpam-3426	507	10	sajid	sajid	PROPN
ejpam-3426	507	11	.	.	PUNCT
ejpam-3426	508	1	heat	heat	NOUN
ejpam-3426	508	2	and	and	CCONJ
ejpam-3426	508	3	mass	mass	NOUN
ejpam-3426	508	4	transfer	transfer	NOUN
ejpam-3426	508	5	analysis	analysis	NOUN
ejpam-3426	508	6	on	on	ADP
ejpam-3426	508	7	the	the	DET
ejpam-3426	508	8	flow	flow	NOUN
ejpam-3426	508	9	of	of	ADP
ejpam-3426	508	10	a	a	DET
ejpam-3426	508	11	second	second	ADJ
ejpam-3426	508	12	grade	grade	NOUN
ejpam-3426	508	13	fluid	fluid	NOUN
ejpam-3426	508	14	in	in	ADP
ejpam-3426	508	15	the	the	DET
ejpam-3426	508	16	presence	presence	NOUN
ejpam-3426	508	17	of	of	ADP
ejpam-3426	508	18	chemical	chemical	ADJ
ejpam-3426	508	19	reaction	reaction	NOUN
ejpam-3426	508	20	.	.	PUNCT
ejpam-3426	509	1	physics	physics	NOUN
ejpam-3426	509	2	letters	letter	NOUN
ejpam-3426	509	3	,	,	PUNCT
ejpam-3426	509	4	a	a	DET
ejpam-3426	509	5	372:2400	372:2400	NUM
ejpam-3426	509	6	–	–	PUNCT
ejpam-3426	509	7	2408	2408	NUM
ejpam-3426	509	8	,	,	PUNCT
ejpam-3426	509	9	2008	2008	NUM
ejpam-3426	509	10	.	.	PUNCT
ejpam-3426	510	1	[	[	X
ejpam-3426	510	2	21	21	NUM
ejpam-3426	510	3	]	]	X
ejpam-3426	510	4	c.	c.	PROPN
ejpam-3426	510	5	truesdell	truesdell	PROPN
ejpam-3426	510	6	and	and	CCONJ
ejpam-3426	510	7	k.r	k.r	PROPN
ejpam-3426	510	8	.	.	PROPN
ejpam-3426	510	9	rajagopal	rajagopal	PROPN
ejpam-3426	510	10	.	.	PUNCT
ejpam-3426	511	1	an	an	DET
ejpam-3426	511	2	introduction	introduction	NOUN
ejpam-3426	511	3	to	to	ADP
ejpam-3426	511	4	the	the	DET
ejpam-3426	511	5	mechanics	mechanic	NOUN
ejpam-3426	511	6	of	of	ADP
ejpam-3426	511	7	fluids	fluid	NOUN
ejpam-3426	511	8	.	.	PUNCT
ejpam-3426	512	1	springer	springer	NOUN
ejpam-3426	512	2	science+business	science+business	NOUN
ejpam-3426	512	3	media	medium	NOUN
ejpam-3426	512	4	,	,	PUNCT
ejpam-3426	512	5	llc	llc	PROPN
ejpam-3426	512	6	,	,	PUNCT
ejpam-3426	512	7	233	233	NUM
ejpam-3426	512	8	spring	spring	NOUN
ejpam-3426	512	9	street	street	NOUN
ejpam-3426	512	10	,	,	PUNCT
ejpam-3426	512	11	new	new	PROPN
ejpam-3426	512	12	york	york	PROPN
ejpam-3426	512	13	,	,	PUNCT
ejpam-3426	512	14	ny	ny	PROPN
ejpam-3426	512	15	,	,	PUNCT
ejpam-3426	512	16	10013	10013	NUM
ejpam-3426	512	17	,	,	PUNCT
ejpam-3426	512	18	usa	usa	PROPN
ejpam-3426	512	19	,	,	PUNCT
ejpam-3426	512	20	1999	1999	NUM
ejpam-3426	512	21	.	.	PUNCT