id	sid	tid	token	lemma	pos
ejpam-4442	1	1	european	european	PROPN
ejpam-4442	1	2	journal	journal	PROPN
ejpam-4442	1	3	of	of	ADP
ejpam-4442	1	4	pure	pure	ADJ
ejpam-4442	1	5	and	and	CCONJ
ejpam-4442	1	6	applied	apply	VERB
ejpam-4442	1	7	mathematics	mathematic	NOUN
ejpam-4442	1	8	vol	vol	NOUN
ejpam-4442	1	9	.	.	PROPN
ejpam-4442	2	1	15	15	NUM
ejpam-4442	2	2	,	,	PUNCT
ejpam-4442	2	3	no	no	INTJ
ejpam-4442	2	4	.	.	NOUN
ejpam-4442	2	5	3	3	NUM
ejpam-4442	2	6	,	,	PUNCT
ejpam-4442	2	7	2022	2022	NUM
ejpam-4442	2	8	,	,	PUNCT
ejpam-4442	2	9	1376	1376	NUM
ejpam-4442	2	10	-	-	SYM
ejpam-4442	2	11	1401	1401	NUM
ejpam-4442	2	12	issn	issn	PROPN
ejpam-4442	2	13	1307	1307	NUM
ejpam-4442	2	14	-	-	SYM
ejpam-4442	2	15	5543	5543	NUM
ejpam-4442	2	16	–	–	PUNCT
ejpam-4442	2	17	ejpam.com	ejpam.com	X
ejpam-4442	2	18	published	publish	VERB
ejpam-4442	2	19	by	by	ADP
ejpam-4442	2	20	new	new	PROPN
ejpam-4442	2	21	york	york	PROPN
ejpam-4442	2	22	business	business	PROPN
ejpam-4442	2	23	global	global	VERB
ejpam-4442	2	24	the	the	DET
ejpam-4442	2	25	force	force	NOUN
ejpam-4442	2	26	on	on	ADP
ejpam-4442	2	27	a	a	DET
ejpam-4442	2	28	magneto	magneto	ADJ
ejpam-4442	2	29	-	-	PUNCT
ejpam-4442	2	30	spherical	spherical	ADJ
ejpam-4442	2	31	particle	particle	NOUN
ejpam-4442	2	32	oscillating	oscillating	NOUN
ejpam-4442	2	33	in	in	ADP
ejpam-4442	2	34	a	a	DET
ejpam-4442	2	35	viscous	viscous	ADJ
ejpam-4442	2	36	fluid	fluid	NOUN
ejpam-4442	2	37	perpendicular	perpendicular	NOUN
ejpam-4442	2	38	to	to	ADP
ejpam-4442	2	39	an	an	DET
ejpam-4442	2	40	impermeable	impermeable	ADJ
ejpam-4442	2	41	planar	planar	ADJ
ejpam-4442	2	42	wall	wall	NOUN
ejpam-4442	2	43	with	with	ADP
ejpam-4442	2	44	slippage	slippage	NOUN
ejpam-4442	2	45	shreen	shreen	PROPN
ejpam-4442	2	46	el	el	PROPN
ejpam-4442	2	47	-	-	PUNCT
ejpam-4442	2	48	sapa	sapa	PROPN
ejpam-4442	2	49	department	department	NOUN
ejpam-4442	2	50	of	of	ADP
ejpam-4442	2	51	mathematics	mathematic	NOUN
ejpam-4442	2	52	,	,	PUNCT
ejpam-4442	2	53	faculty	faculty	NOUN
ejpam-4442	2	54	of	of	ADP
ejpam-4442	2	55	science	science	NOUN
ejpam-4442	2	56	,	,	PUNCT
ejpam-4442	2	57	damanhour	damanhour	NOUN
ejpam-4442	2	58	university	university	NOUN
ejpam-4442	2	59	,	,	PUNCT
ejpam-4442	2	60	damanhour	damanhour	NOUN
ejpam-4442	2	61	,	,	PUNCT
ejpam-4442	2	62	egypt	egypt	PROPN
ejpam-4442	2	63	abstract	abstract	PROPN
ejpam-4442	2	64	.	.	PUNCT
ejpam-4442	3	1	the	the	DET
ejpam-4442	3	2	effect	effect	NOUN
ejpam-4442	3	3	of	of	ADP
ejpam-4442	3	4	a	a	DET
ejpam-4442	3	5	magnetic	magnetic	ADJ
ejpam-4442	3	6	field	field	NOUN
ejpam-4442	3	7	and	and	CCONJ
ejpam-4442	3	8	slip	slip	VERB
ejpam-4442	3	9	on	on	ADP
ejpam-4442	3	10	the	the	DET
ejpam-4442	3	11	motion	motion	NOUN
ejpam-4442	3	12	of	of	ADP
ejpam-4442	3	13	a	a	DET
ejpam-4442	3	14	solid	solid	ADJ
ejpam-4442	3	15	sphere	sphere	NOUN
ejpam-4442	3	16	moving	move	VERB
ejpam-4442	3	17	perpendicular	perpendicular	ADJ
ejpam-4442	3	18	to	to	ADP
ejpam-4442	3	19	an	an	DET
ejpam-4442	3	20	unbounded	unbounded	ADJ
ejpam-4442	3	21	rigid	rigid	ADJ
ejpam-4442	3	22	wall	wall	NOUN
ejpam-4442	3	23	in	in	ADP
ejpam-4442	3	24	an	an	DET
ejpam-4442	3	25	unlimited	unlimited	ADJ
ejpam-4442	3	26	viscous	viscous	ADJ
ejpam-4442	3	27	fluid	fluid	NOUN
ejpam-4442	3	28	is	be	AUX
ejpam-4442	3	29	investigated	investigate	VERB
ejpam-4442	3	30	.	.	PUNCT
ejpam-4442	4	1	as	as	SCONJ
ejpam-4442	4	2	the	the	DET
ejpam-4442	4	3	sphere	sphere	NOUN
ejpam-4442	4	4	vibrates	vibrate	VERB
ejpam-4442	4	5	perpendicularly	perpendicularly	ADV
ejpam-4442	4	6	to	to	ADP
ejpam-4442	4	7	the	the	DET
ejpam-4442	4	8	rigid	rigid	ADJ
ejpam-4442	4	9	wall	wall	NOUN
ejpam-4442	4	10	,	,	PUNCT
ejpam-4442	4	11	its	its	PRON
ejpam-4442	4	12	center	center	NOUN
ejpam-4442	4	13	line	line	NOUN
ejpam-4442	4	14	is	be	AUX
ejpam-4442	4	15	accompanied	accompany	VERB
ejpam-4442	4	16	by	by	ADP
ejpam-4442	4	17	a	a	DET
ejpam-4442	4	18	low	low	ADJ
ejpam-4442	4	19	amplitude	amplitude	NOUN
ejpam-4442	4	20	vibration	vibration	NOUN
ejpam-4442	4	21	.	.	PUNCT
ejpam-4442	5	1	a	a	DET
ejpam-4442	5	2	slip	slip	NOUN
ejpam-4442	5	3	condition	condition	NOUN
ejpam-4442	5	4	is	be	AUX
ejpam-4442	5	5	applied	apply	VERB
ejpam-4442	5	6	to	to	ADP
ejpam-4442	5	7	the	the	DET
ejpam-4442	5	8	sphere	sphere	NOUN
ejpam-4442	5	9	surface	surface	NOUN
ejpam-4442	5	10	,	,	PUNCT
ejpam-4442	5	11	while	while	SCONJ
ejpam-4442	5	12	a	a	DET
ejpam-4442	5	13	no	no	DET
ejpam-4442	5	14	-	-	PUNCT
ejpam-4442	5	15	slip	slip	NOUN
ejpam-4442	5	16	dynamic	dynamic	ADJ
ejpam-4442	5	17	condition	condition	NOUN
ejpam-4442	5	18	is	be	AUX
ejpam-4442	5	19	applied	apply	VERB
ejpam-4442	5	20	to	to	ADP
ejpam-4442	5	21	the	the	DET
ejpam-4442	5	22	wall	wall	NOUN
ejpam-4442	5	23	.	.	PUNCT
ejpam-4442	6	1	additionally	additionally	ADV
ejpam-4442	6	2	,	,	PUNCT
ejpam-4442	6	3	a	a	DET
ejpam-4442	6	4	semi	semi	ADJ
ejpam-4442	6	5	-	-	ADJ
ejpam-4442	6	6	analytical	analytical	ADJ
ejpam-4442	6	7	method	method	NOUN
ejpam-4442	6	8	and	and	CCONJ
ejpam-4442	6	9	a	a	DET
ejpam-4442	6	10	numerical	numerical	ADJ
ejpam-4442	6	11	scheme	scheme	NOUN
ejpam-4442	6	12	using	use	VERB
ejpam-4442	6	13	collocation	collocation	NOUN
ejpam-4442	6	14	are	be	AUX
ejpam-4442	6	15	presented	present	VERB
ejpam-4442	6	16	.	.	PUNCT
ejpam-4442	7	1	furthermore	furthermore	ADV
ejpam-4442	7	2	,	,	PUNCT
ejpam-4442	7	3	we	we	PRON
ejpam-4442	7	4	calculate	calculate	VERB
ejpam-4442	7	5	the	the	DET
ejpam-4442	7	6	amplitude	amplitude	NOUN
ejpam-4442	7	7	of	of	ADP
ejpam-4442	7	8	the	the	DET
ejpam-4442	7	9	non	non	ADJ
ejpam-4442	7	10	-	-	ADJ
ejpam-4442	7	11	dimensional	dimensional	ADJ
ejpam-4442	7	12	coefficients	coefficient	NOUN
ejpam-4442	7	13	of	of	ADP
ejpam-4442	7	14	drag	drag	NOUN
ejpam-4442	7	15	force	force	NOUN
ejpam-4442	7	16	acting	act	VERB
ejpam-4442	7	17	on	on	ADP
ejpam-4442	7	18	the	the	DET
ejpam-4442	7	19	solid	solid	ADJ
ejpam-4442	7	20	sphere	sphere	NOUN
ejpam-4442	7	21	using	use	VERB
ejpam-4442	7	22	various	various	ADJ
ejpam-4442	7	23	values	value	NOUN
ejpam-4442	7	24	of	of	ADP
ejpam-4442	7	25	frequency	frequency	NOUN
ejpam-4442	7	26	,	,	PUNCT
ejpam-4442	7	27	separation	separation	NOUN
ejpam-4442	7	28	,	,	PUNCT
ejpam-4442	7	29	and	and	CCONJ
ejpam-4442	7	30	magnetic	magnetic	ADJ
ejpam-4442	7	31	parameters	parameter	NOUN
ejpam-4442	7	32	.	.	PUNCT
ejpam-4442	8	1	in	in	ADP
ejpam-4442	8	2	addition	addition	NOUN
ejpam-4442	8	3	,	,	PUNCT
ejpam-4442	8	4	streamlines	streamline	NOUN
ejpam-4442	8	5	are	be	AUX
ejpam-4442	8	6	plotted	plot	VERB
ejpam-4442	8	7	.	.	PUNCT
ejpam-4442	9	1	the	the	DET
ejpam-4442	9	2	results	result	NOUN
ejpam-4442	9	3	of	of	ADP
ejpam-4442	9	4	the	the	DET
ejpam-4442	9	5	magnitude	magnitude	NOUN
ejpam-4442	9	6	normalized	normalize	VERB
ejpam-4442	9	7	drag	drag	NOUN
ejpam-4442	9	8	force	force	NOUN
ejpam-4442	9	9	are	be	AUX
ejpam-4442	9	10	compared	compare	VERB
ejpam-4442	9	11	with	with	ADP
ejpam-4442	9	12	those	those	PRON
ejpam-4442	9	13	in	in	ADP
ejpam-4442	9	14	previous	previous	ADJ
ejpam-4442	9	15	literature	literature	NOUN
ejpam-4442	9	16	.	.	PUNCT
ejpam-4442	10	1	2020	2020	NUM
ejpam-4442	10	2	mathematics	mathematics	PROPN
ejpam-4442	10	3	subject	subject	NOUN
ejpam-4442	10	4	classifications	classification	NOUN
ejpam-4442	10	5	:	:	PUNCT
ejpam-4442	10	6	76	76	NUM
ejpam-4442	10	7	-	-	SYM
ejpam-4442	10	8	xx	xx	NUM
ejpam-4442	10	9	,	,	PUNCT
ejpam-4442	10	10	76dxx	76dxx	VERB
ejpam-4442	10	11	key	key	ADJ
ejpam-4442	10	12	words	word	NOUN
ejpam-4442	10	13	and	and	CCONJ
ejpam-4442	10	14	phrases	phrase	NOUN
ejpam-4442	10	15	:	:	PUNCT
ejpam-4442	10	16	viscous	viscous	ADJ
ejpam-4442	10	17	fluid	fluid	NOUN
ejpam-4442	10	18	,	,	PUNCT
ejpam-4442	10	19	magnetic	magnetic	ADJ
ejpam-4442	10	20	field	field	NOUN
ejpam-4442	10	21	,	,	PUNCT
ejpam-4442	10	22	oscillating	oscillate	VERB
ejpam-4442	10	23	sphere	sphere	NOUN
ejpam-4442	10	24	,	,	PUNCT
ejpam-4442	10	25	slippage	slippage	NOUN
ejpam-4442	10	26	,	,	PUNCT
ejpam-4442	10	27	collocation	collocation	NOUN
ejpam-4442	10	28	method	method	NOUN
ejpam-4442	10	29	1	1	NUM
ejpam-4442	10	30	.	.	PUNCT
ejpam-4442	11	1	introduction	introduction	NOUN
ejpam-4442	11	2	among	among	ADP
ejpam-4442	11	3	the	the	DET
ejpam-4442	11	4	well	well	ADV
ejpam-4442	11	5	-	-	PUNCT
ejpam-4442	11	6	known	know	VERB
ejpam-4442	11	7	fields	field	NOUN
ejpam-4442	11	8	in	in	ADP
ejpam-4442	11	9	which	which	PRON
ejpam-4442	11	10	the	the	DET
ejpam-4442	11	11	mhd	mhd	NOUN
ejpam-4442	11	12	field	field	NOUN
ejpam-4442	11	13	has	have	VERB
ejpam-4442	11	14	a	a	DET
ejpam-4442	11	15	significant	significant	ADJ
ejpam-4442	11	16	influence	influence	NOUN
ejpam-4442	11	17	are	be	AUX
ejpam-4442	11	18	magnetospheres	magnetosphere	NOUN
ejpam-4442	11	19	,	,	PUNCT
ejpam-4442	11	20	planetary	planetary	ADJ
ejpam-4442	11	21	celestials	celestial	NOUN
ejpam-4442	11	22	,	,	PUNCT
ejpam-4442	11	23	chemical	chemical	NOUN
ejpam-4442	11	24	engineering	engineering	NOUN
ejpam-4442	11	25	,	,	PUNCT
ejpam-4442	11	26	and	and	CCONJ
ejpam-4442	11	27	electronic	electronic	ADJ
ejpam-4442	11	28	engineering	engineering	NOUN
ejpam-4442	11	29	,	,	PUNCT
ejpam-4442	11	30	which	which	PRON
ejpam-4442	11	31	play	play	VERB
ejpam-4442	11	32	an	an	DET
ejpam-4442	11	33	important	important	ADJ
ejpam-4442	11	34	role	role	NOUN
ejpam-4442	11	35	in	in	ADP
ejpam-4442	11	36	chemical	chemical	NOUN
ejpam-4442	11	37	,	,	PUNCT
ejpam-4442	11	38	mechanical	mechanical	ADJ
ejpam-4442	11	39	,	,	PUNCT
ejpam-4442	11	40	biological	biological	ADJ
ejpam-4442	11	41	,	,	PUNCT
ejpam-4442	11	42	and	and	CCONJ
ejpam-4442	11	43	medical	medical	ADJ
ejpam-4442	11	44	fields	field	NOUN
ejpam-4442	11	45	.	.	PUNCT
ejpam-4442	12	1	cramer	cramer	PROPN
ejpam-4442	12	2	and	and	CCONJ
ejpam-4442	12	3	pai	pai	PROPN
ejpam-4442	13	1	[	[	X
ejpam-4442	13	2	1	1	X
ejpam-4442	13	3	]	]	PUNCT
ejpam-4442	13	4	studied	study	VERB
ejpam-4442	13	5	the	the	DET
ejpam-4442	13	6	effects	effect	NOUN
ejpam-4442	13	7	of	of	ADP
ejpam-4442	13	8	a	a	DET
ejpam-4442	13	9	magnetic	magnetic	ADJ
ejpam-4442	13	10	field	field	NOUN
ejpam-4442	13	11	upon	upon	SCONJ
ejpam-4442	13	12	a	a	DET
ejpam-4442	13	13	stokes	stoke	NOUN
ejpam-4442	13	14	flow	flow	NOUN
ejpam-4442	13	15	and	and	CCONJ
ejpam-4442	13	16	their	their	PRON
ejpam-4442	13	17	theory	theory	NOUN
ejpam-4442	13	18	has	have	AUX
ejpam-4442	13	19	been	be	AUX
ejpam-4442	13	20	applied	apply	VERB
ejpam-4442	13	21	to	to	ADP
ejpam-4442	13	22	a	a	DET
ejpam-4442	13	23	variety	variety	NOUN
ejpam-4442	13	24	of	of	ADP
ejpam-4442	13	25	geophysical	geophysical	ADJ
ejpam-4442	13	26	,	,	PUNCT
ejpam-4442	13	27	astrophysical	astrophysical	ADJ
ejpam-4442	13	28	,	,	PUNCT
ejpam-4442	13	29	and	and	CCONJ
ejpam-4442	13	30	engineering	engineering	NOUN
ejpam-4442	13	31	issues	issue	NOUN
ejpam-4442	13	32	.	.	PUNCT
ejpam-4442	14	1	according	accord	VERB
ejpam-4442	14	2	to	to	ADP
ejpam-4442	14	3	sellier	sellier	NOUN
ejpam-4442	14	4	and	and	CCONJ
ejpam-4442	14	5	aydin	aydin	NOUN
ejpam-4442	14	6	[	[	X
ejpam-4442	14	7	2	2	NUM
ejpam-4442	14	8	]	]	PUNCT
ejpam-4442	14	9	axisymmetric	axisymmetric	ADJ
ejpam-4442	14	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	14	11	movements	movement	NOUN
ejpam-4442	14	12	can	can	AUX
ejpam-4442	14	13	be	be	AUX
ejpam-4442	14	14	produced	produce	VERB
ejpam-4442	14	15	in	in	ADP
ejpam-4442	14	16	a	a	DET
ejpam-4442	14	17	conducting	conduct	VERB
ejpam-4442	14	18	newtonian	newtonian	ADJ
ejpam-4442	14	19	flux	flux	NOUN
ejpam-4442	14	20	region	region	NOUN
ejpam-4442	14	21	surrounded	surround	VERB
ejpam-4442	14	22	by	by	ADP
ejpam-4442	14	23	a	a	DET
ejpam-4442	14	24	flat	flat	ADJ
ejpam-4442	14	25	wall	wall	NOUN
ejpam-4442	14	26	by	by	ADP
ejpam-4442	14	27	classifying	classify	VERB
ejpam-4442	14	28	either	either	CCONJ
ejpam-4442	14	29	radial	radial	ADJ
ejpam-4442	14	30	or	or	CCONJ
ejpam-4442	14	31	axial	axial	ADJ
ejpam-4442	14	32	points	point	NOUN
ejpam-4442	14	33	forces	force	NOUN
ejpam-4442	14	34	on	on	ADP
ejpam-4442	14	35	a	a	DET
ejpam-4442	14	36	circular	circular	ADJ
ejpam-4442	14	37	ring	ring	NOUN
ejpam-4442	14	38	established	establish	VERB
ejpam-4442	14	39	parallel	parallel	NOUN
ejpam-4442	14	40	with	with	ADP
ejpam-4442	14	41	the	the	DET
ejpam-4442	14	42	wall	wall	NOUN
ejpam-4442	14	43	and	and	CCONJ
ejpam-4442	14	44	perpendicular	perpendicular	ADJ
ejpam-4442	14	45	to	to	ADP
ejpam-4442	14	46	a	a	DET
ejpam-4442	14	47	uniform	uniform	ADJ
ejpam-4442	14	48	magnetic	magnetic	ADJ
ejpam-4442	14	49	field	field	NOUN
ejpam-4442	14	50	.	.	PUNCT
ejpam-4442	15	1	corrugated	corrugate	VERB
ejpam-4442	15	2	curved	curved	ADJ
ejpam-4442	15	3	channels	channel	NOUN
ejpam-4442	15	4	are	be	AUX
ejpam-4442	15	5	used	use	VERB
ejpam-4442	15	6	for	for	ADP
ejpam-4442	15	7	mhd	mhd	NOUN
ejpam-4442	15	8	flow	flow	NOUN
ejpam-4442	15	9	[	[	X
ejpam-4442	15	10	3	3	NUM
ejpam-4442	15	11	]	]	PUNCT
ejpam-4442	15	12	.	.	PUNCT
ejpam-4442	16	1	many	many	ADJ
ejpam-4442	16	2	researchers	researcher	NOUN
ejpam-4442	16	3	work	work	VERB
ejpam-4442	16	4	about	about	ADP
ejpam-4442	16	5	magnetic	magnetic	ADJ
ejpam-4442	16	6	fields	field	NOUN
ejpam-4442	16	7	with	with	ADP
ejpam-4442	16	8	normal	normal	ADJ
ejpam-4442	16	9	convection	convection	NOUN
ejpam-4442	16	10	in	in	ADP
ejpam-4442	16	11	a	a	DET
ejpam-4442	16	12	permeable	permeable	ADJ
ejpam-4442	16	13	medium	medium	NOUN
ejpam-4442	16	14	that	that	PRON
ejpam-4442	16	15	has	have	VERB
ejpam-4442	16	16	various	various	ADJ
ejpam-4442	16	17	implementations	implementation	NOUN
ejpam-4442	16	18	in	in	ADP
ejpam-4442	16	19	energy	energy	NOUN
ejpam-4442	16	20	,	,	PUNCT
ejpam-4442	16	21	thermal	thermal	ADJ
ejpam-4442	16	22	geology	geology	NOUN
ejpam-4442	16	23	,	,	PUNCT
ejpam-4442	16	24	petrol	petrol	NOUN
ejpam-4442	16	25	extraction	extraction	NOUN
ejpam-4442	16	26	such	such	ADJ
ejpam-4442	16	27	as	as	ADP
ejpam-4442	16	28	qian	qian	PROPN
ejpam-4442	16	29	and	and	CCONJ
ejpam-4442	16	30	bau	bau	PROPN
ejpam-4442	16	31	[	[	X
ejpam-4442	16	32	4	4	X
ejpam-4442	16	33	]	]	PUNCT
ejpam-4442	16	34	proved	prove	VERB
ejpam-4442	16	35	that	that	SCONJ
ejpam-4442	16	36	mhd	mhd	PROPN
ejpam-4442	16	37	flows	flow	NOUN
ejpam-4442	16	38	due	due	ADP
ejpam-4442	16	39	to	to	ADP
ejpam-4442	16	40	the	the	DET
ejpam-4442	16	41	oscillating	oscillate	VERB
ejpam-4442	16	42	plate	plate	NOUN
ejpam-4442	16	43	.	.	PUNCT
ejpam-4442	17	1	doi	doi	NOUN
ejpam-4442	17	2	:	:	PUNCT
ejpam-4442	17	3	https://doi.org/10.29020/nybg.ejpam.v15i3.4442	https://doi.org/10.29020/nybg.ejpam.v15i3.4442	PROPN
ejpam-4442	17	4	email	email	NOUN
ejpam-4442	17	5	address	address	NOUN
ejpam-4442	17	6	:	:	PUNCT
ejpam-4442	17	7	s	s	VERB
ejpam-4442	17	8	elsapa82@sci.dmu.edu.eg	elsapa82@sci.dmu.edu.eg	X
ejpam-4442	18	1	(	(	PUNCT
ejpam-4442	18	2	s.	s.	PROPN
ejpam-4442	18	3	el	el	PROPN
ejpam-4442	18	4	-	-	PUNCT
ejpam-4442	18	5	sapa	sapa	ADJ
ejpam-4442	18	6	)	)	PUNCT
ejpam-4442	18	7	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4442	18	8	1376	1376	NUM
ejpam-4442	19	1	©	©	PROPN
ejpam-4442	19	2	2022	2022	NUM
ejpam-4442	19	3	ejpam	ejpam	VERB
ejpam-4442	19	4	all	all	DET
ejpam-4442	19	5	rights	right	NOUN
ejpam-4442	19	6	reserved	reserve	VERB
ejpam-4442	19	7	.	.	PUNCT
ejpam-4442	20	1	shreen	shreen	PROPN
ejpam-4442	20	2	el	el	PROPN
ejpam-4442	20	3	-	-	PUNCT
ejpam-4442	20	4	sapa	sapa	PROPN
ejpam-4442	20	5	/	/	SYM
ejpam-4442	20	6	eur	eur	NOUN
ejpam-4442	20	7	.	.	PUNCT
ejpam-4442	21	1	j.	j.	PROPN
ejpam-4442	21	2	pure	pure	PROPN
ejpam-4442	21	3	appl	appl	PROPN
ejpam-4442	21	4	.	.	PROPN
ejpam-4442	21	5	math	math	PROPN
ejpam-4442	21	6	,	,	PUNCT
ejpam-4442	21	7	15	15	NUM
ejpam-4442	21	8	(	(	PUNCT
ejpam-4442	21	9	3	3	NUM
ejpam-4442	21	10	)	)	PUNCT
ejpam-4442	21	11	(	(	PUNCT
ejpam-4442	21	12	2022	2022	NUM
ejpam-4442	21	13	)	)	PUNCT
ejpam-4442	21	14	,	,	PUNCT
ejpam-4442	21	15	1376	1376	NUM
ejpam-4442	21	16	-	-	SYM
ejpam-4442	21	17	1401	1401	NUM
ejpam-4442	21	18	1377	1377	NUM
ejpam-4442	21	19	shreen	shreen	PROPN
ejpam-4442	21	20	and	and	CCONJ
ejpam-4442	21	21	noura	noura	NOUN
ejpam-4442	22	1	[	[	X
ejpam-4442	22	2	5	5	NUM
ejpam-4442	22	3	]	]	PUNCT
ejpam-4442	22	4	investigated	investigate	VERB
ejpam-4442	22	5	the	the	DET
ejpam-4442	22	6	impacts	impact	NOUN
ejpam-4442	22	7	of	of	ADP
ejpam-4442	22	8	the	the	DET
ejpam-4442	22	9	magnetic	magnetic	ADJ
ejpam-4442	22	10	field	field	NOUN
ejpam-4442	22	11	over	over	ADP
ejpam-4442	22	12	two	two	NUM
ejpam-4442	22	13	unequal	unequal	ADJ
ejpam-4442	22	14	rigid	rigid	ADJ
ejpam-4442	22	15	spheres	sphere	NOUN
ejpam-4442	22	16	of	of	ADP
ejpam-4442	22	17	slip	slip	NOUN
ejpam-4442	22	18	condition	condition	NOUN
ejpam-4442	22	19	on	on	ADP
ejpam-4442	22	20	the	the	DET
ejpam-4442	22	21	surfaces	surface	NOUN
ejpam-4442	22	22	involved	involve	VERB
ejpam-4442	22	23	in	in	ADP
ejpam-4442	22	24	a	a	DET
ejpam-4442	22	25	permeable	permeable	ADJ
ejpam-4442	22	26	medium	medium	NOUN
ejpam-4442	22	27	under	under	ADP
ejpam-4442	22	28	stokes	stoke	NOUN
ejpam-4442	22	29	assumptions	assumption	NOUN
ejpam-4442	22	30	.	.	PUNCT
ejpam-4442	23	1	in	in	ADP
ejpam-4442	23	2	their	their	PRON
ejpam-4442	23	3	analysis	analysis	NOUN
ejpam-4442	23	4	of	of	ADP
ejpam-4442	23	5	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	23	6	flow	flow	NOUN
ejpam-4442	23	7	over	over	ADP
ejpam-4442	23	8	an	an	DET
ejpam-4442	23	9	unlimited	unlimited	ADJ
ejpam-4442	23	10	vertical	vertical	ADJ
ejpam-4442	23	11	oscillating	oscillate	VERB
ejpam-4442	23	12	plate	plate	NOUN
ejpam-4442	23	13	in	in	ADP
ejpam-4442	23	14	a	a	DET
ejpam-4442	23	15	permeable	permeable	ADJ
ejpam-4442	23	16	medium	medium	NOUN
ejpam-4442	23	17	,	,	PUNCT
ejpam-4442	23	18	chaudhary	chaudhary	PROPN
ejpam-4442	23	19	and	and	CCONJ
ejpam-4442	23	20	jain	jain	PROPN
ejpam-4442	23	21	[	[	X
ejpam-4442	23	22	6	6	NUM
ejpam-4442	23	23	]	]	PUNCT
ejpam-4442	23	24	analyzed	analyze	VERB
ejpam-4442	23	25	the	the	DET
ejpam-4442	23	26	magneto	magneto	ADJ
ejpam-4442	23	27	-	-	PUNCT
ejpam-4442	23	28	hydrodynamic	hydrodynamic	ADJ
ejpam-4442	23	29	flow	flow	NOUN
ejpam-4442	23	30	over	over	ADP
ejpam-4442	23	31	an	an	DET
ejpam-4442	23	32	unlimited	unlimited	ADJ
ejpam-4442	23	33	vertical	vertical	ADJ
ejpam-4442	23	34	oscillating	oscillate	VERB
ejpam-4442	23	35	plate	plate	NOUN
ejpam-4442	23	36	within	within	ADP
ejpam-4442	23	37	a	a	DET
ejpam-4442	23	38	permeable	permeable	ADJ
ejpam-4442	23	39	medium	medium	NOUN
ejpam-4442	23	40	,	,	PUNCT
ejpam-4442	23	41	getting	get	VERB
ejpam-4442	23	42	account	account	NOUN
ejpam-4442	23	43	of	of	ADP
ejpam-4442	23	44	the	the	DET
ejpam-4442	23	45	appearance	appearance	NOUN
ejpam-4442	23	46	of	of	ADP
ejpam-4442	23	47	mass	mass	ADJ
ejpam-4442	23	48	transfer	transfer	NOUN
ejpam-4442	23	49	and	and	CCONJ
ejpam-4442	23	50	free	free	ADJ
ejpam-4442	23	51	convection	convection	NOUN
ejpam-4442	23	52	by	by	ADP
ejpam-4442	23	53	using	use	VERB
ejpam-4442	23	54	the	the	DET
ejpam-4442	23	55	laplace	laplace	NOUN
ejpam-4442	23	56	-	-	PUNCT
ejpam-4442	23	57	transform	transform	NOUN
ejpam-4442	23	58	procedure	procedure	NOUN
ejpam-4442	23	59	.	.	PUNCT
ejpam-4442	24	1	also	also	ADV
ejpam-4442	24	2	,	,	PUNCT
ejpam-4442	24	3	jawda	jawda	PROPN
ejpam-4442	24	4	et	et	PROPN
ejpam-4442	24	5	al	al	PROPN
ejpam-4442	24	6	.	.	PUNCT
ejpam-4442	25	1	[	[	X
ejpam-4442	25	2	7	7	NUM
ejpam-4442	25	3	]	]	PUNCT
ejpam-4442	25	4	applied	apply	VERB
ejpam-4442	25	5	mhd	mhd	NOUN
ejpam-4442	25	6	on	on	ADP
ejpam-4442	25	7	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	25	8	flow	flow	NOUN
ejpam-4442	25	9	of	of	ADP
ejpam-4442	25	10	nanofluid	nanofluid	NOUN
ejpam-4442	25	11	in	in	ADP
ejpam-4442	25	12	a	a	DET
ejpam-4442	25	13	channel	channel	NOUN
ejpam-4442	25	14	with	with	ADP
ejpam-4442	25	15	shape	shape	NOUN
ejpam-4442	25	16	effects	effect	NOUN
ejpam-4442	25	17	,	,	PUNCT
ejpam-4442	25	18	takhar	takhar	PROPN
ejpam-4442	25	19	et	et	PROPN
ejpam-4442	25	20	al	al	PROPN
ejpam-4442	25	21	.	.	PUNCT
ejpam-4442	26	1	[	[	X
ejpam-4442	26	2	8	8	NUM
ejpam-4442	26	3	]	]	PUNCT
ejpam-4442	26	4	studied	study	VERB
ejpam-4442	26	5	mhd	mhd	NOUN
ejpam-4442	26	6	flow	flow	NOUN
ejpam-4442	26	7	over	over	ADP
ejpam-4442	26	8	a	a	DET
ejpam-4442	26	9	moving	move	VERB
ejpam-4442	26	10	plate	plate	NOUN
ejpam-4442	26	11	in	in	ADP
ejpam-4442	26	12	a	a	DET
ejpam-4442	26	13	rotating	rotate	VERB
ejpam-4442	26	14	fluid	fluid	NOUN
ejpam-4442	26	15	with	with	ADP
ejpam-4442	26	16	magnetic	magnetic	ADJ
ejpam-4442	26	17	field	field	NOUN
ejpam-4442	26	18	,	,	PUNCT
ejpam-4442	26	19	hall	hall	NOUN
ejpam-4442	26	20	currents	current	NOUN
ejpam-4442	26	21	and	and	CCONJ
ejpam-4442	26	22	free	free	ADJ
ejpam-4442	26	23	stream	stream	NOUN
ejpam-4442	26	24	velocity	velocity	NOUN
ejpam-4442	26	25	.	.	PUNCT
ejpam-4442	27	1	on	on	ADP
ejpam-4442	27	2	the	the	DET
ejpam-4442	27	3	other	other	ADJ
ejpam-4442	27	4	side	side	NOUN
ejpam-4442	27	5	,	,	PUNCT
ejpam-4442	27	6	krishna	krishna	PROPN
ejpam-4442	27	7	et	et	PROPN
ejpam-4442	27	8	al	al	PROPN
ejpam-4442	27	9	.	.	PUNCT
ejpam-4442	28	1	[	[	X
ejpam-4442	28	2	9	9	NUM
ejpam-4442	28	3	,	,	PUNCT
ejpam-4442	28	4	10	10	NUM
ejpam-4442	28	5	]	]	PUNCT
ejpam-4442	28	6	introduced	introduce	VERB
ejpam-4442	28	7	hall	hall	NOUN
ejpam-4442	28	8	and	and	CCONJ
ejpam-4442	28	9	ion	ion	NOUN
ejpam-4442	28	10	slip	slip	NOUN
ejpam-4442	28	11	effects	effect	NOUN
ejpam-4442	28	12	on	on	ADP
ejpam-4442	28	13	unsteady	unsteady	ADJ
ejpam-4442	28	14	mhd	mhd	NOUN
ejpam-4442	28	15	free	free	ADJ
ejpam-4442	28	16	convective	convective	ADJ
ejpam-4442	28	17	rotating	rotating	NOUN
ejpam-4442	28	18	flow	flow	NOUN
ejpam-4442	28	19	through	through	ADP
ejpam-4442	28	20	a	a	DET
ejpam-4442	28	21	saturated	saturate	VERB
ejpam-4442	28	22	porous	porous	ADJ
ejpam-4442	28	23	medium	medium	NOUN
ejpam-4442	28	24	over	over	ADP
ejpam-4442	28	25	an	an	DET
ejpam-4442	28	26	exponential	exponential	ADJ
ejpam-4442	28	27	accelerated	accelerate	VERB
ejpam-4442	28	28	plate	plate	NOUN
ejpam-4442	28	29	and	and	CCONJ
ejpam-4442	28	30	hall	hall	NOUN
ejpam-4442	28	31	and	and	CCONJ
ejpam-4442	28	32	ion	ion	NOUN
ejpam-4442	28	33	slip	slip	NOUN
ejpam-4442	28	34	effects	effect	NOUN
ejpam-4442	28	35	on	on	ADP
ejpam-4442	28	36	mhd	mhd	NOUN
ejpam-4442	28	37	rotating	rotating	NOUN
ejpam-4442	28	38	flow	flow	NOUN
ejpam-4442	28	39	of	of	ADP
ejpam-4442	28	40	elastico	elastico	NOUN
ejpam-4442	28	41	-	-	PUNCT
ejpam-4442	28	42	viscous	viscous	ADJ
ejpam-4442	28	43	fluid	fluid	NOUN
ejpam-4442	28	44	through	through	ADP
ejpam-4442	28	45	porous	porous	ADJ
ejpam-4442	28	46	medium	medium	NOUN
ejpam-4442	28	47	.	.	PUNCT
ejpam-4442	29	1	in	in	ADP
ejpam-4442	29	2	addition	addition	NOUN
ejpam-4442	29	3	,	,	PUNCT
ejpam-4442	29	4	mhd	mhd	PROPN
ejpam-4442	29	5	has	have	AUX
ejpam-4442	29	6	been	be	AUX
ejpam-4442	29	7	applied	apply	VERB
ejpam-4442	29	8	to	to	ADP
ejpam-4442	29	9	fluids	fluid	NOUN
ejpam-4442	29	10	flow	flow	NOUN
ejpam-4442	29	11	in	in	ADP
ejpam-4442	29	12	other	other	ADJ
ejpam-4442	29	13	ways	way	NOUN
ejpam-4442	29	14	,	,	PUNCT
ejpam-4442	29	15	such	such	ADJ
ejpam-4442	29	16	as	as	ADP
ejpam-4442	29	17	[	[	X
ejpam-4442	29	18	11–15	11–15	NUM
ejpam-4442	29	19	]	]	PUNCT
ejpam-4442	29	20	.	.	PUNCT
ejpam-4442	30	1	on	on	ADP
ejpam-4442	30	2	the	the	DET
ejpam-4442	30	3	other	other	ADJ
ejpam-4442	30	4	hand	hand	NOUN
ejpam-4442	30	5	,	,	PUNCT
ejpam-4442	30	6	the	the	DET
ejpam-4442	30	7	oscillating	oscillating	NOUN
ejpam-4442	30	8	flows	flow	NOUN
ejpam-4442	30	9	have	have	VERB
ejpam-4442	30	10	extensive	extensive	ADJ
ejpam-4442	30	11	interest	interest	NOUN
ejpam-4442	30	12	in	in	ADP
ejpam-4442	30	13	various	various	ADJ
ejpam-4442	30	14	chemical	chemical	ADJ
ejpam-4442	30	15	methods	method	NOUN
ejpam-4442	30	16	such	such	ADJ
ejpam-4442	30	17	as	as	ADP
ejpam-4442	30	18	absorption	absorption	NOUN
ejpam-4442	30	19	,	,	PUNCT
ejpam-4442	30	20	extraction	extraction	NOUN
ejpam-4442	30	21	,	,	PUNCT
ejpam-4442	30	22	and	and	CCONJ
ejpam-4442	30	23	engineering	engineering	NOUN
ejpam-4442	30	24	implementation	implementation	NOUN
ejpam-4442	30	25	,	,	PUNCT
ejpam-4442	30	26	for	for	ADP
ejpam-4442	30	27	example	example	NOUN
ejpam-4442	30	28	,	,	PUNCT
ejpam-4442	30	29	floating	float	VERB
ejpam-4442	30	30	movement	movement	NOUN
ejpam-4442	30	31	of	of	ADP
ejpam-4442	30	32	microorganisms	microorganism	NOUN
ejpam-4442	30	33	and	and	CCONJ
ejpam-4442	30	34	brownian	brownian	ADJ
ejpam-4442	30	35	particle	particle	NOUN
ejpam-4442	30	36	movement	movement	NOUN
ejpam-4442	30	37	.	.	PUNCT
ejpam-4442	31	1	therefore	therefore	ADV
ejpam-4442	31	2	,	,	PUNCT
ejpam-4442	31	3	chang	chang	PROPN
ejpam-4442	31	4	-	-	PUNCT
ejpam-4442	31	5	yi	yi	PROPN
ejpam-4442	31	6	wang	wang	PROPN
ejpam-4442	32	1	[	[	X
ejpam-4442	32	2	16	16	NUM
ejpam-4442	32	3	]	]	PUNCT
ejpam-4442	32	4	studied	study	VERB
ejpam-4442	32	5	the	the	DET
ejpam-4442	32	6	flow	flow	NOUN
ejpam-4442	32	7	field	field	NOUN
ejpam-4442	32	8	induced	induce	VERB
ejpam-4442	32	9	by	by	ADP
ejpam-4442	32	10	oscillating	oscillate	VERB
ejpam-4442	32	11	by	by	ADP
ejpam-4442	32	12	using	use	VERB
ejpam-4442	32	13	the	the	DET
ejpam-4442	32	14	method	method	NOUN
ejpam-4442	32	15	of	of	ADP
ejpam-4442	32	16	inner	inner	ADJ
ejpam-4442	32	17	and	and	CCONJ
ejpam-4442	32	18	outer	outer	ADJ
ejpam-4442	32	19	expansions	expansion	NOUN
ejpam-4442	32	20	experimentally	experimentally	ADV
ejpam-4442	32	21	.	.	PUNCT
ejpam-4442	33	1	rikitake	rikitake	NOUN
ejpam-4442	33	2	[	[	X
ejpam-4442	33	3	17	17	NUM
ejpam-4442	33	4	]	]	PUNCT
ejpam-4442	33	5	improved	improved	ADJ
ejpam-4442	33	6	theories	theory	NOUN
ejpam-4442	33	7	of	of	ADP
ejpam-4442	33	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	33	9	oscillations	oscillation	NOUN
ejpam-4442	33	10	of	of	ADP
ejpam-4442	33	11	a	a	DET
ejpam-4442	33	12	conducting	conduct	VERB
ejpam-4442	33	13	fluid	fluid	NOUN
ejpam-4442	33	14	sphere	sphere	NOUN
ejpam-4442	33	15	in	in	ADP
ejpam-4442	33	16	a	a	DET
ejpam-4442	33	17	uniform	uniform	ADJ
ejpam-4442	33	18	magnetic	magnetic	ADJ
ejpam-4442	33	19	field	field	NOUN
ejpam-4442	33	20	.	.	PUNCT
ejpam-4442	34	1	accordingly	accordingly	ADV
ejpam-4442	34	2	,	,	PUNCT
ejpam-4442	34	3	chawla	chawla	PROPN
ejpam-4442	34	4	[	[	X
ejpam-4442	34	5	18	18	NUM
ejpam-4442	34	6	]	]	PUNCT
ejpam-4442	34	7	introduces	introduce	VERB
ejpam-4442	34	8	the	the	DET
ejpam-4442	34	9	effect	effect	NOUN
ejpam-4442	34	10	of	of	ADP
ejpam-4442	34	11	harmonic	harmonic	ADJ
ejpam-4442	34	12	oscillations	oscillation	NOUN
ejpam-4442	34	13	in	in	ADP
ejpam-4442	34	14	the	the	DET
ejpam-4442	34	15	magnitude	magnitude	NOUN
ejpam-4442	34	16	of	of	ADP
ejpam-4442	34	17	the	the	DET
ejpam-4442	34	18	free	free	ADJ
ejpam-4442	34	19	stream	stream	NOUN
ejpam-4442	34	20	velocity	velocity	NOUN
ejpam-4442	34	21	on	on	ADP
ejpam-4442	34	22	the	the	DET
ejpam-4442	34	23	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	34	24	boundary	boundary	ADJ
ejpam-4442	34	25	layer	layer	NOUN
ejpam-4442	34	26	flow	flow	NOUN
ejpam-4442	34	27	past	past	ADP
ejpam-4442	34	28	a	a	DET
ejpam-4442	34	29	flat	flat	ADJ
ejpam-4442	34	30	plate	plate	NOUN
ejpam-4442	34	31	,	,	PUNCT
ejpam-4442	34	32	in	in	ADP
ejpam-4442	34	33	the	the	DET
ejpam-4442	34	34	presence	presence	NOUN
ejpam-4442	34	35	of	of	ADP
ejpam-4442	34	36	an	an	DET
ejpam-4442	34	37	aligned	aligned	ADJ
ejpam-4442	34	38	field	field	NOUN
ejpam-4442	34	39	.	.	PUNCT
ejpam-4442	35	1	also	also	ADV
ejpam-4442	35	2	,	,	PUNCT
ejpam-4442	35	3	many	many	ADJ
ejpam-4442	35	4	researchers	researcher	NOUN
ejpam-4442	35	5	have	have	AUX
ejpam-4442	35	6	paid	pay	VERB
ejpam-4442	35	7	growing	grow	VERB
ejpam-4442	35	8	attention	attention	NOUN
ejpam-4442	35	9	to	to	ADP
ejpam-4442	35	10	the	the	DET
ejpam-4442	35	11	use	use	NOUN
ejpam-4442	35	12	of	of	ADP
ejpam-4442	35	13	magnetic	magnetic	ADJ
ejpam-4442	35	14	fluid	fluid	NOUN
ejpam-4442	35	15	for	for	ADP
ejpam-4442	35	16	specific	specific	ADJ
ejpam-4442	35	17	tasks	task	NOUN
ejpam-4442	35	18	related	relate	VERB
ejpam-4442	35	19	to	to	ADP
ejpam-4442	35	20	magnetic	magnetic	ADJ
ejpam-4442	35	21	-	-	PUNCT
ejpam-4442	35	22	field	field	NOUN
ejpam-4442	35	23	-	-	PUNCT
ejpam-4442	35	24	controlled	control	VERB
ejpam-4442	35	25	vibration	vibration	NOUN
ejpam-4442	35	26	damping	damp	VERB
ejpam-4442	35	27	and	and	CCONJ
ejpam-4442	35	28	modulation	modulation	NOUN
ejpam-4442	35	29	by	by	ADP
ejpam-4442	35	30	oscillating	oscillate	VERB
ejpam-4442	35	31	in	in	ADP
ejpam-4442	35	32	a	a	DET
ejpam-4442	35	33	magnetic	magnetic	ADJ
ejpam-4442	35	34	fluid	fluid	NOUN
ejpam-4442	35	35	such	such	ADJ
ejpam-4442	35	36	as	as	ADP
ejpam-4442	35	37	[	[	X
ejpam-4442	35	38	19–23	19–23	NUM
ejpam-4442	35	39	]	]	PUNCT
ejpam-4442	35	40	.	.	PUNCT
ejpam-4442	36	1	moreover	moreover	ADV
ejpam-4442	36	2	,	,	PUNCT
ejpam-4442	36	3	polunin	polunin	INTJ
ejpam-4442	36	4	et	et	PROPN
ejpam-4442	36	5	al	al	PROPN
ejpam-4442	36	6	.	.	PUNCT
ejpam-4442	37	1	[	[	X
ejpam-4442	37	2	24	24	NUM
ejpam-4442	37	3	]	]	PUNCT
ejpam-4442	37	4	expanded	expand	VERB
ejpam-4442	37	5	the	the	DET
ejpam-4442	37	6	physical	physical	ADJ
ejpam-4442	37	7	understanding	understanding	NOUN
ejpam-4442	37	8	of	of	ADP
ejpam-4442	37	9	the	the	DET
ejpam-4442	37	10	oscillating	oscillate	VERB
ejpam-4442	37	11	flow	flow	NOUN
ejpam-4442	37	12	of	of	ADP
ejpam-4442	37	13	magnetic	magnetic	ADJ
ejpam-4442	37	14	fluid	fluid	NOUN
ejpam-4442	37	15	in	in	ADP
ejpam-4442	37	16	the	the	DET
ejpam-4442	37	17	magnetic	magnetic	ADJ
ejpam-4442	37	18	field	field	NOUN
ejpam-4442	37	19	by	by	ADP
ejpam-4442	37	20	studying	study	VERB
ejpam-4442	37	21	the	the	DET
ejpam-4442	37	22	effect	effect	NOUN
ejpam-4442	37	23	in	in	ADP
ejpam-4442	37	24	the	the	DET
ejpam-4442	37	25	thin	thin	ADJ
ejpam-4442	37	26	near	near	ADJ
ejpam-4442	37	27	-	-	PUNCT
ejpam-4442	37	28	wall	wall	NOUN
ejpam-4442	37	29	layer	layer	NOUN
ejpam-4442	37	30	under	under	ADP
ejpam-4442	37	31	a	a	DET
ejpam-4442	37	32	strong	strong	ADJ
ejpam-4442	37	33	transverse	transverse	NOUN
ejpam-4442	37	34	magnetic	magnetic	ADJ
ejpam-4442	37	35	field	field	NOUN
ejpam-4442	37	36	.	.	PUNCT
ejpam-4442	38	1	therefore	therefore	ADV
ejpam-4442	38	2	,	,	PUNCT
ejpam-4442	38	3	ryapolov	ryapolov	PROPN
ejpam-4442	38	4	et	et	PROPN
ejpam-4442	38	5	al	al	PROPN
ejpam-4442	38	6	.	.	PUNCT
ejpam-4442	39	1	[	[	X
ejpam-4442	39	2	25	25	NUM
ejpam-4442	39	3	]	]	PUNCT
ejpam-4442	39	4	described	describe	VERB
ejpam-4442	39	5	a	a	DET
ejpam-4442	39	6	study	study	NOUN
ejpam-4442	39	7	of	of	ADP
ejpam-4442	39	8	the	the	DET
ejpam-4442	39	9	viscoelastic	viscoelastic	ADJ
ejpam-4442	39	10	parameters	parameter	NOUN
ejpam-4442	39	11	of	of	ADP
ejpam-4442	39	12	the	the	DET
ejpam-4442	39	13	system	system	NOUN
ejpam-4442	39	14	based	base	VERB
ejpam-4442	39	15	on	on	ADP
ejpam-4442	39	16	an	an	DET
ejpam-4442	39	17	element	element	NOUN
ejpam-4442	39	18	of	of	ADP
ejpam-4442	39	19	magnetic	magnetic	ADJ
ejpam-4442	39	20	fluid	fluid	NOUN
ejpam-4442	39	21	bounded	bound	VERB
ejpam-4442	39	22	by	by	ADP
ejpam-4442	39	23	the	the	DET
ejpam-4442	39	24	surface	surface	NOUN
ejpam-4442	39	25	of	of	ADP
ejpam-4442	39	26	a	a	DET
ejpam-4442	39	27	horizontal	horizontal	ADJ
ejpam-4442	39	28	plexiglass	plexiglass	NOUN
ejpam-4442	39	29	tube	tube	NOUN
ejpam-4442	39	30	located	locate	VERB
ejpam-4442	39	31	in	in	ADP
ejpam-4442	39	32	the	the	DET
ejpam-4442	39	33	field	field	NOUN
ejpam-4442	39	34	of	of	ADP
ejpam-4442	39	35	an	an	DET
ejpam-4442	39	36	electromagnet	electromagnet	NOUN
ejpam-4442	39	37	that	that	PRON
ejpam-4442	39	38	makes	make	VERB
ejpam-4442	39	39	damped	damped	ADJ
ejpam-4442	39	40	oscillation	oscillation	NOUN
ejpam-4442	39	41	.	.	PUNCT
ejpam-4442	40	1	üstündağ	üstündağ	PROPN
ejpam-4442	40	2	et	et	PROPN
ejpam-4442	40	3	al	al	PROPN
ejpam-4442	40	4	.	.	PUNCT
ejpam-4442	41	1	[	[	X
ejpam-4442	41	2	26	26	NUM
ejpam-4442	41	3	]	]	PUNCT
ejpam-4442	41	4	used	use	VERB
ejpam-4442	41	5	the	the	DET
ejpam-4442	41	6	keyhole	keyhole	NOUN
ejpam-4442	41	7	during	during	ADP
ejpam-4442	41	8	high	high	ADJ
ejpam-4442	41	9	-	-	PUNCT
ejpam-4442	41	10	power	power	NOUN
ejpam-4442	41	11	laser	laser	NOUN
ejpam-4442	41	12	beam	beam	NOUN
ejpam-4442	41	13	welding	weld	VERB
ejpam-4442	41	14	in	in	ADP
ejpam-4442	41	15	partial	partial	ADJ
ejpam-4442	41	16	penetration	penetration	NOUN
ejpam-4442	41	17	mode	mode	NOUN
ejpam-4442	41	18	by	by	ADP
ejpam-4442	41	19	means	mean	NOUN
ejpam-4442	41	20	of	of	ADP
ejpam-4442	41	21	a	a	DET
ejpam-4442	41	22	high	high	ADJ
ejpam-4442	41	23	-	-	PUNCT
ejpam-4442	41	24	speed	speed	NOUN
ejpam-4442	41	25	camera	camera	NOUN
ejpam-4442	41	26	where	where	SCONJ
ejpam-4442	41	27	an	an	DET
ejpam-4442	41	28	oscillating	oscillate	VERB
ejpam-4442	41	29	magnetic	magnetic	ADJ
ejpam-4442	41	30	field	field	NOUN
ejpam-4442	41	31	was	be	AUX
ejpam-4442	41	32	applied	apply	VERB
ejpam-4442	41	33	perpendicular	perpendicular	ADJ
ejpam-4442	41	34	to	to	ADP
ejpam-4442	41	35	the	the	DET
ejpam-4442	41	36	welding	welding	NOUN
ejpam-4442	41	37	direction	direction	NOUN
ejpam-4442	41	38	on	on	ADP
ejpam-4442	41	39	the	the	DET
ejpam-4442	41	40	root	root	NOUN
ejpam-4442	41	41	site	site	NOUN
ejpam-4442	41	42	of	of	ADP
ejpam-4442	41	43	the	the	DET
ejpam-4442	41	44	steel	steel	NOUN
ejpam-4442	41	45	plate	plate	NOUN
ejpam-4442	41	46	.	.	PUNCT
ejpam-4442	42	1	sherief	sherief	NOUN
ejpam-4442	42	2	et	et	PROPN
ejpam-4442	42	3	al	al	PROPN
ejpam-4442	42	4	.	.	PUNCT
ejpam-4442	43	1	[	[	X
ejpam-4442	43	2	27	27	NUM
ejpam-4442	43	3	,	,	PUNCT
ejpam-4442	43	4	28	28	NUM
ejpam-4442	43	5	]	]	PUNCT
ejpam-4442	43	6	showed	show	VERB
ejpam-4442	43	7	the	the	DET
ejpam-4442	43	8	problems	problem	NOUN
ejpam-4442	43	9	of	of	ADP
ejpam-4442	43	10	the	the	DET
ejpam-4442	43	11	rectilinear	rectilinear	ADJ
ejpam-4442	43	12	oscillations	oscillation	NOUN
ejpam-4442	43	13	of	of	ADP
ejpam-4442	43	14	two	two	NUM
ejpam-4442	43	15	spherical	spherical	ADJ
ejpam-4442	43	16	particles	particle	NOUN
ejpam-4442	43	17	along	along	ADP
ejpam-4442	43	18	the	the	DET
ejpam-4442	43	19	line	line	NOUN
ejpam-4442	43	20	through	through	ADP
ejpam-4442	43	21	their	their	PRON
ejpam-4442	43	22	centers	center	NOUN
ejpam-4442	43	23	in	in	ADP
ejpam-4442	43	24	an	an	DET
ejpam-4442	43	25	axisymmetric	axisymmetric	ADJ
ejpam-4442	43	26	,	,	PUNCT
ejpam-4442	43	27	viscous	viscous	ADJ
ejpam-4442	43	28	,	,	PUNCT
ejpam-4442	43	29	incompressible	incompressible	ADJ
ejpam-4442	43	30	flow	flow	NOUN
ejpam-4442	43	31	at	at	ADP
ejpam-4442	43	32	a	a	DET
ejpam-4442	43	33	low	low	ADJ
ejpam-4442	43	34	reynolds	reynold	NOUN
ejpam-4442	43	35	number	number	NOUN
ejpam-4442	43	36	and	and	CCONJ
ejpam-4442	43	37	wall	wall	NOUN
ejpam-4442	43	38	interaction	interaction	NOUN
ejpam-4442	43	39	between	between	ADP
ejpam-4442	43	40	a	a	DET
ejpam-4442	43	41	particle	particle	NOUN
ejpam-4442	43	42	oscillates	oscillate	NOUN
ejpam-4442	43	43	with	with	ADP
ejpam-4442	43	44	the	the	DET
ejpam-4442	43	45	same	same	ADJ
ejpam-4442	43	46	frequency	frequency	NOUN
ejpam-4442	43	47	and	and	CCONJ
ejpam-4442	43	48	with	with	ADP
ejpam-4442	43	49	different	different	ADJ
ejpam-4442	43	50	amplitudes	amplitude	NOUN
ejpam-4442	43	51	with	with	ADP
ejpam-4442	43	52	no	no	DET
ejpam-4442	43	53	-	-	PUNCT
ejpam-4442	43	54	slip	slip	NOUN
ejpam-4442	43	55	and	and	CCONJ
ejpam-4442	43	56	without	without	ADP
ejpam-4442	43	57	magnetic	magnetic	ADJ
ejpam-4442	43	58	field	field	NOUN
ejpam-4442	43	59	.	.	PUNCT
ejpam-4442	44	1	ashmawy	ashmawy	PROPN
ejpam-4442	45	1	[	[	X
ejpam-4442	45	2	29	29	NUM
ejpam-4442	45	3	]	]	PUNCT
ejpam-4442	45	4	proposed	propose	VERB
ejpam-4442	45	5	the	the	DET
ejpam-4442	45	6	rotary	rotary	ADJ
ejpam-4442	45	7	oscillation	oscillation	NOUN
ejpam-4442	45	8	of	of	ADP
ejpam-4442	45	9	a	a	DET
ejpam-4442	45	10	composite	composite	ADJ
ejpam-4442	45	11	sphere	sphere	NOUN
ejpam-4442	45	12	,	,	PUNCT
ejpam-4442	45	13	consisting	consist	VERB
ejpam-4442	45	14	of	of	ADP
ejpam-4442	45	15	a	a	DET
ejpam-4442	45	16	solid	solid	ADJ
ejpam-4442	45	17	core	core	NOUN
ejpam-4442	45	18	surrounded	surround	VERB
ejpam-4442	45	19	by	by	ADP
ejpam-4442	45	20	a	a	DET
ejpam-4442	45	21	porous	porous	ADJ
ejpam-4442	45	22	shell	shell	NOUN
ejpam-4442	45	23	,	,	PUNCT
ejpam-4442	45	24	in	in	ADP
ejpam-4442	45	25	an	an	DET
ejpam-4442	45	26	incompressible	incompressible	ADJ
ejpam-4442	45	27	viscous	viscous	ADJ
ejpam-4442	45	28	fluid	fluid	NOUN
ejpam-4442	45	29	bounded	bound	VERB
ejpam-4442	45	30	by	by	ADP
ejpam-4442	45	31	a	a	DET
ejpam-4442	45	32	concentric	concentric	ADJ
ejpam-4442	45	33	spherical	spherical	ADJ
ejpam-4442	45	34	cavity	cavity	NOUN
ejpam-4442	45	35	is	be	AUX
ejpam-4442	45	36	investigated	investigate	VERB
ejpam-4442	45	37	using	use	VERB
ejpam-4442	45	38	the	the	DET
ejpam-4442	45	39	brinkman	brinkman	PROPN
ejpam-4442	45	40	model	model	NOUN
ejpam-4442	45	41	and	and	CCONJ
ejpam-4442	45	42	applied	apply	VERB
ejpam-4442	45	43	stress	stress	NOUN
ejpam-4442	45	44	jump	jump	NOUN
ejpam-4442	45	45	condition	condition	NOUN
ejpam-4442	45	46	.	.	PUNCT
ejpam-4442	46	1	shreen	shreen	PROPN
ejpam-4442	46	2	el	el	PROPN
ejpam-4442	46	3	-	-	PUNCT
ejpam-4442	46	4	sapa	sapa	PROPN
ejpam-4442	46	5	/	/	SYM
ejpam-4442	46	6	eur	eur	NOUN
ejpam-4442	46	7	.	.	PUNCT
ejpam-4442	47	1	j.	j.	PROPN
ejpam-4442	47	2	pure	pure	PROPN
ejpam-4442	47	3	appl	appl	PROPN
ejpam-4442	47	4	.	.	PROPN
ejpam-4442	47	5	math	math	PROPN
ejpam-4442	47	6	,	,	PUNCT
ejpam-4442	47	7	15	15	NUM
ejpam-4442	47	8	(	(	PUNCT
ejpam-4442	47	9	3	3	NUM
ejpam-4442	47	10	)	)	PUNCT
ejpam-4442	47	11	(	(	PUNCT
ejpam-4442	47	12	2022	2022	NUM
ejpam-4442	47	13	)	)	PUNCT
ejpam-4442	47	14	,	,	PUNCT
ejpam-4442	47	15	1376	1376	NUM
ejpam-4442	47	16	-	-	SYM
ejpam-4442	47	17	1401	1401	NUM
ejpam-4442	47	18	1378	1378	NUM
ejpam-4442	47	19	furthermore	furthermore	ADV
ejpam-4442	47	20	,	,	PUNCT
ejpam-4442	47	21	the	the	DET
ejpam-4442	47	22	exploratory	exploratory	ADJ
ejpam-4442	47	23	perception	perception	NOUN
ejpam-4442	47	24	of	of	ADP
ejpam-4442	47	25	slip	slip	NOUN
ejpam-4442	47	26	occasions	occasion	NOUN
ejpam-4442	47	27	at	at	ADP
ejpam-4442	47	28	frictional	frictional	ADJ
ejpam-4442	47	29	interfaces	interface	NOUN
ejpam-4442	47	30	is	be	AUX
ejpam-4442	47	31	testing	test	VERB
ejpam-4442	47	32	and	and	CCONJ
ejpam-4442	47	33	just	just	ADV
ejpam-4442	47	34	a	a	DET
ejpam-4442	47	35	couple	couple	NOUN
ejpam-4442	47	36	of	of	ADP
ejpam-4442	47	37	effects	effect	NOUN
ejpam-4442	47	38	of	of	ADP
ejpam-4442	47	39	two	two	NUM
ejpam-4442	47	40	-	-	PUNCT
ejpam-4442	47	41	dimensional	dimensional	ADJ
ejpam-4442	47	42	fronts	front	NOUN
ejpam-4442	47	43	have	have	AUX
ejpam-4442	47	44	been	be	AUX
ejpam-4442	47	45	accounted	account	VERB
ejpam-4442	47	46	for	for	ADP
ejpam-4442	47	47	up	up	ADV
ejpam-4442	47	48	until	until	ADP
ejpam-4442	47	49	now	now	ADV
ejpam-4442	47	50	.	.	PUNCT
ejpam-4442	48	1	sweeney	sweeney	PROPN
ejpam-4442	48	2	et	et	PROPN
ejpam-4442	48	3	al	al	PROPN
ejpam-4442	48	4	.	.	PUNCT
ejpam-4442	49	1	[	[	X
ejpam-4442	49	2	30	30	NUM
ejpam-4442	49	3	]	]	PUNCT
ejpam-4442	49	4	demonstrated	demonstrate	VERB
ejpam-4442	49	5	to	to	PART
ejpam-4442	49	6	play	play	VERB
ejpam-4442	49	7	a	a	DET
ejpam-4442	49	8	pivotal	pivotal	ADJ
ejpam-4442	49	9	role	role	NOUN
ejpam-4442	49	10	in	in	ADP
ejpam-4442	49	11	the	the	DET
ejpam-4442	49	12	distribution	distribution	NOUN
ejpam-4442	49	13	and	and	CCONJ
ejpam-4442	49	14	magnitude	magnitude	NOUN
ejpam-4442	49	15	of	of	ADP
ejpam-4442	49	16	polycrystal	polycrystal	ADJ
ejpam-4442	49	17	slip	slip	NOUN
ejpam-4442	49	18	relative	relative	ADJ
ejpam-4442	49	19	to	to	ADP
ejpam-4442	49	20	observed	observe	VERB
ejpam-4442	49	21	crack	crack	NOUN
ejpam-4442	49	22	nucleation	nucleation	NOUN
ejpam-4442	49	23	sites	site	NOUN
ejpam-4442	49	24	in	in	ADP
ejpam-4442	49	25	the	the	DET
ejpam-4442	49	26	context	context	NOUN
ejpam-4442	49	27	of	of	ADP
ejpam-4442	49	28	constrained	constrained	ADJ
ejpam-4442	49	29	cyclic	cyclic	ADJ
ejpam-4442	49	30	microplasticity	microplasticity	NOUN
ejpam-4442	49	31	under	under	ADP
ejpam-4442	49	32	effects	effect	NOUN
ejpam-4442	49	33	of	of	ADP
ejpam-4442	49	34	length	length	NOUN
ejpam-4442	49	35	scale	scale	NOUN
ejpam-4442	49	36	.	.	PUNCT
ejpam-4442	50	1	in	in	ADP
ejpam-4442	50	2	addition	addition	NOUN
ejpam-4442	50	3	,	,	PUNCT
ejpam-4442	50	4	basnayaka	basnayaka	PROPN
ejpam-4442	50	5	et	et	PROPN
ejpam-4442	50	6	al	al	PROPN
ejpam-4442	50	7	.	.	PUNCT
ejpam-4442	51	1	[	[	X
ejpam-4442	51	2	31	31	NUM
ejpam-4442	51	3	]	]	PUNCT
ejpam-4442	51	4	enhanced	enhanced	ADJ
ejpam-4442	51	5	filtration	filtration	NOUN
ejpam-4442	51	6	rate	rate	NOUN
ejpam-4442	51	7	has	have	AUX
ejpam-4442	51	8	been	be	AUX
ejpam-4442	51	9	modeled	model	VERB
ejpam-4442	51	10	by	by	ADP
ejpam-4442	51	11	superimposing	superimpose	VERB
ejpam-4442	51	12	a	a	DET
ejpam-4442	51	13	slip	slip	NOUN
ejpam-4442	51	14	velocity	velocity	NOUN
ejpam-4442	51	15	at	at	ADP
ejpam-4442	51	16	the	the	DET
ejpam-4442	51	17	boundary	boundary	NOUN
ejpam-4442	51	18	of	of	ADP
ejpam-4442	51	19	the	the	DET
ejpam-4442	51	20	capillaries	capillary	NOUN
ejpam-4442	51	21	formed	form	VERB
ejpam-4442	51	22	in	in	ADP
ejpam-4442	51	23	the	the	DET
ejpam-4442	51	24	cake	cake	NOUN
ejpam-4442	51	25	and	and	CCONJ
ejpam-4442	51	26	evaluating	evaluate	VERB
ejpam-4442	51	27	the	the	DET
ejpam-4442	51	28	medium	medium	ADJ
ejpam-4442	51	29	resistances	resistance	NOUN
ejpam-4442	51	30	by	by	ADP
ejpam-4442	51	31	incorporating	incorporate	VERB
ejpam-4442	51	32	a	a	DET
ejpam-4442	51	33	slip	slip	NOUN
ejpam-4442	51	34	into	into	ADP
ejpam-4442	51	35	the	the	DET
ejpam-4442	51	36	filtration	filtration	NOUN
ejpam-4442	51	37	equation	equation	NOUN
ejpam-4442	51	38	which	which	PRON
ejpam-4442	51	39	varies	vary	VERB
ejpam-4442	51	40	with	with	ADP
ejpam-4442	51	41	the	the	DET
ejpam-4442	51	42	concentration	concentration	NOUN
ejpam-4442	51	43	of	of	ADP
ejpam-4442	51	44	hydrophobic	hydrophobic	NOUN
ejpam-4442	51	45	reagent	reagent	NOUN
ejpam-4442	51	46	and	and	CCONJ
ejpam-4442	51	47	the	the	DET
ejpam-4442	51	48	effective	effective	ADJ
ejpam-4442	51	49	size	size	NOUN
ejpam-4442	51	50	of	of	ADP
ejpam-4442	51	51	capillaries	capillary	NOUN
ejpam-4442	51	52	.	.	PUNCT
ejpam-4442	52	1	further	far	ADV
ejpam-4442	52	2	,	,	PUNCT
ejpam-4442	52	3	the	the	DET
ejpam-4442	52	4	numerical	numerical	ADJ
ejpam-4442	52	5	solutions	solution	NOUN
ejpam-4442	52	6	are	be	AUX
ejpam-4442	52	7	elucidated	elucidate	VERB
ejpam-4442	52	8	by	by	ADP
ejpam-4442	52	9	using	use	VERB
ejpam-4442	52	10	the	the	DET
ejpam-4442	52	11	collocation	collocation	NOUN
ejpam-4442	52	12	method	method	NOUN
ejpam-4442	52	13	,	,	PUNCT
ejpam-4442	52	14	finite	finite	ADJ
ejpam-4442	52	15	difference	difference	NOUN
ejpam-4442	52	16	method	method	NOUN
ejpam-4442	52	17	,	,	PUNCT
ejpam-4442	52	18	and	and	CCONJ
ejpam-4442	52	19	runge	runge	NOUN
ejpam-4442	52	20	-	-	PUNCT
ejpam-4442	52	21	kutta	kutta	NOUN
ejpam-4442	52	22	based	base	VERB
ejpam-4442	52	23	shooting	shooting	NOUN
ejpam-4442	52	24	technique	technique	NOUN
ejpam-4442	52	25	.	.	PUNCT
ejpam-4442	53	1	furthermore	furthermore	ADV
ejpam-4442	53	2	,	,	PUNCT
ejpam-4442	53	3	sulochana	sulochana	NOUN
ejpam-4442	53	4	et	et	PROPN
ejpam-4442	53	5	al	al	PROPN
ejpam-4442	53	6	.	.	PUNCT
ejpam-4442	54	1	[	[	X
ejpam-4442	54	2	32	32	NUM
ejpam-4442	54	3	]	]	PUNCT
ejpam-4442	54	4	presented	present	VERB
ejpam-4442	54	5	the	the	DET
ejpam-4442	54	6	study	study	NOUN
ejpam-4442	54	7	as	as	ADP
ejpam-4442	54	8	a	a	DET
ejpam-4442	54	9	numerical	numerical	ADJ
ejpam-4442	54	10	investigation	investigation	NOUN
ejpam-4442	54	11	of	of	ADP
ejpam-4442	54	12	the	the	DET
ejpam-4442	54	13	flow	flow	NOUN
ejpam-4442	54	14	,	,	PUNCT
ejpam-4442	54	15	heat	heat	NOUN
ejpam-4442	54	16	,	,	PUNCT
ejpam-4442	54	17	and	and	CCONJ
ejpam-4442	54	18	mass	mass	NOUN
ejpam-4442	54	19	transfer	transfer	NOUN
ejpam-4442	54	20	behavior	behavior	NOUN
ejpam-4442	54	21	of	of	ADP
ejpam-4442	54	22	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	54	23	flow	flow	NOUN
ejpam-4442	54	24	over	over	ADP
ejpam-4442	54	25	a	a	DET
ejpam-4442	54	26	vertical	vertical	ADJ
ejpam-4442	54	27	rotating	rotate	VERB
ejpam-4442	54	28	cone	cone	NOUN
ejpam-4442	54	29	through	through	ADP
ejpam-4442	54	30	a	a	DET
ejpam-4442	54	31	porous	porous	ADJ
ejpam-4442	54	32	medium	medium	NOUN
ejpam-4442	54	33	in	in	ADP
ejpam-4442	54	34	the	the	DET
ejpam-4442	54	35	presence	presence	NOUN
ejpam-4442	54	36	of	of	ADP
ejpam-4442	54	37	thermal	thermal	ADJ
ejpam-4442	54	38	radiation	radiation	NOUN
ejpam-4442	54	39	,	,	PUNCT
ejpam-4442	54	40	chemical	chemical	NOUN
ejpam-4442	54	41	reaction	reaction	NOUN
ejpam-4442	54	42	,	,	PUNCT
ejpam-4442	54	43	and	and	CCONJ
ejpam-4442	54	44	soret	soret	VERB
ejpam-4442	54	45	effects	effect	NOUN
ejpam-4442	54	46	by	by	ADP
ejpam-4442	54	47	using	use	VERB
ejpam-4442	54	48	runge	runge	NOUN
ejpam-4442	54	49	-	-	PUNCT
ejpam-4442	54	50	kutta	kutta	NOUN
ejpam-4442	54	51	based	base	VERB
ejpam-4442	54	52	shooting	shooting	NOUN
ejpam-4442	54	53	technique	technique	NOUN
ejpam-4442	54	54	.	.	PUNCT
ejpam-4442	55	1	therefore	therefore	ADV
ejpam-4442	55	2	,	,	PUNCT
ejpam-4442	55	3	veera	veera	NOUN
ejpam-4442	55	4	krishna	krishna	PROPN
ejpam-4442	55	5	et	et	PROPN
ejpam-4442	55	6	al	al	PROPN
ejpam-4442	55	7	.	.	PUNCT
ejpam-4442	56	1	[	[	X
ejpam-4442	56	2	33	33	NUM
ejpam-4442	56	3	]	]	PUNCT
ejpam-4442	56	4	investigated	investigate	VERB
ejpam-4442	56	5	the	the	DET
ejpam-4442	56	6	effects	effect	NOUN
ejpam-4442	56	7	of	of	ADP
ejpam-4442	56	8	thermal	thermal	ADJ
ejpam-4442	56	9	radiation	radiation	NOUN
ejpam-4442	56	10	and	and	CCONJ
ejpam-4442	56	11	rotation	rotation	NOUN
ejpam-4442	56	12	on	on	ADP
ejpam-4442	56	13	the	the	DET
ejpam-4442	56	14	unsteady	unsteady	ADJ
ejpam-4442	56	15	mhd	mhd	NOUN
ejpam-4442	56	16	convective	convective	ADJ
ejpam-4442	56	17	flow	flow	NOUN
ejpam-4442	56	18	past	past	ADP
ejpam-4442	56	19	an	an	DET
ejpam-4442	56	20	infinite	infinite	ADJ
ejpam-4442	56	21	vertical	vertical	ADJ
ejpam-4442	56	22	moving	move	VERB
ejpam-4442	56	23	absorbent	absorbent	ADJ
ejpam-4442	56	24	plate	plate	NOUN
ejpam-4442	56	25	and	and	CCONJ
ejpam-4442	56	26	employed	employ	VERB
ejpam-4442	56	27	to	to	PART
ejpam-4442	56	28	migrate	migrate	VERB
ejpam-4442	56	29	the	the	DET
ejpam-4442	56	30	governing	govern	VERB
ejpam-4442	56	31	partial	partial	ADJ
ejpam-4442	56	32	differential	differential	ADJ
ejpam-4442	56	33	equations	equation	NOUN
ejpam-4442	56	34	in	in	ADP
ejpam-4442	56	35	a	a	DET
ejpam-4442	56	36	system	system	NOUN
ejpam-4442	56	37	of	of	ADP
ejpam-4442	56	38	non	non	ADJ
ejpam-4442	56	39	-	-	ADJ
ejpam-4442	56	40	linear	linear	ADJ
ejpam-4442	56	41	ordinary	ordinary	ADJ
ejpam-4442	56	42	differential	differential	ADJ
ejpam-4442	56	43	equations	equation	NOUN
ejpam-4442	56	44	and	and	CCONJ
ejpam-4442	56	45	elucidated	elucidate	VERB
ejpam-4442	56	46	computationally	computationally	ADV
ejpam-4442	56	47	by	by	ADP
ejpam-4442	56	48	making	make	VERB
ejpam-4442	56	49	use	use	NOUN
ejpam-4442	56	50	of	of	ADP
ejpam-4442	56	51	cubic	cubic	ADJ
ejpam-4442	56	52	b	b	NOUN
ejpam-4442	56	53	-	-	PUNCT
ejpam-4442	56	54	splines	spline	NOUN
ejpam-4442	56	55	collocation	collocation	NOUN
ejpam-4442	56	56	method	method	NOUN
ejpam-4442	56	57	.	.	PUNCT
ejpam-4442	57	1	many	many	ADJ
ejpam-4442	57	2	researchers	researcher	NOUN
ejpam-4442	57	3	used	use	VERB
ejpam-4442	57	4	a	a	DET
ejpam-4442	57	5	collocation	collocation	NOUN
ejpam-4442	57	6	method	method	NOUN
ejpam-4442	57	7	such	such	ADJ
ejpam-4442	57	8	as	as	ADP
ejpam-4442	57	9	[	[	X
ejpam-4442	57	10	34–39	34–39	NUM
ejpam-4442	57	11	]	]	PUNCT
ejpam-4442	57	12	.	.	PUNCT
ejpam-4442	58	1	the	the	DET
ejpam-4442	58	2	purpose	purpose	NOUN
ejpam-4442	58	3	of	of	ADP
ejpam-4442	58	4	this	this	DET
ejpam-4442	58	5	study	study	NOUN
ejpam-4442	58	6	was	be	AUX
ejpam-4442	58	7	to	to	PART
ejpam-4442	58	8	investigate	investigate	VERB
ejpam-4442	58	9	the	the	DET
ejpam-4442	58	10	impact	impact	NOUN
ejpam-4442	58	11	of	of	ADP
ejpam-4442	58	12	slip	slip	NOUN
ejpam-4442	58	13	effects	effect	NOUN
ejpam-4442	58	14	and	and	CCONJ
ejpam-4442	58	15	magnetic	magnetic	ADJ
ejpam-4442	58	16	fields	field	NOUN
ejpam-4442	58	17	on	on	ADP
ejpam-4442	58	18	the	the	DET
ejpam-4442	58	19	interaction	interaction	NOUN
ejpam-4442	58	20	between	between	ADP
ejpam-4442	58	21	an	an	DET
ejpam-4442	58	22	oscillating	oscillating	NOUN
ejpam-4442	58	23	sphere	sphere	NOUN
ejpam-4442	58	24	in	in	ADP
ejpam-4442	58	25	a	a	DET
ejpam-4442	58	26	viscous	viscous	ADJ
ejpam-4442	58	27	fluid	fluid	NOUN
ejpam-4442	58	28	moving	move	VERB
ejpam-4442	58	29	towards	towards	ADP
ejpam-4442	58	30	a	a	DET
ejpam-4442	58	31	rigid	rigid	ADJ
ejpam-4442	58	32	wall	wall	NOUN
ejpam-4442	58	33	.	.	PUNCT
ejpam-4442	59	1	the	the	DET
ejpam-4442	59	2	sphere	sphere	NOUN
ejpam-4442	59	3	oscillates	oscillate	NOUN
ejpam-4442	59	4	rectilinearly	rectilinearly	ADV
ejpam-4442	59	5	normal	normal	ADJ
ejpam-4442	59	6	to	to	ADP
ejpam-4442	59	7	an	an	DET
ejpam-4442	59	8	impermeable	impermeable	ADJ
ejpam-4442	59	9	bounding	bounding	NOUN
ejpam-4442	59	10	plane	plane	NOUN
ejpam-4442	59	11	wall	wall	NOUN
ejpam-4442	59	12	.	.	PUNCT
ejpam-4442	60	1	numerical	numerical	ADJ
ejpam-4442	60	2	solutions	solution	NOUN
ejpam-4442	60	3	of	of	ADP
ejpam-4442	60	4	the	the	DET
ejpam-4442	60	5	amplitude	amplitude	NOUN
ejpam-4442	60	6	drag	drag	NOUN
ejpam-4442	60	7	force	force	NOUN
ejpam-4442	60	8	were	be	AUX
ejpam-4442	60	9	obtained	obtain	VERB
ejpam-4442	60	10	by	by	ADP
ejpam-4442	60	11	using	use	VERB
ejpam-4442	60	12	a	a	DET
ejpam-4442	60	13	collocation	collocation	NOUN
ejpam-4442	60	14	method	method	NOUN
ejpam-4442	60	15	.	.	PUNCT
ejpam-4442	61	1	besides	besides	SCONJ
ejpam-4442	61	2	,	,	PUNCT
ejpam-4442	61	3	the	the	DET
ejpam-4442	61	4	influence	influence	NOUN
ejpam-4442	61	5	of	of	ADP
ejpam-4442	61	6	non	non	ADJ
ejpam-4442	61	7	-	-	ADJ
ejpam-4442	61	8	dimensional	dimensional	ADJ
ejpam-4442	61	9	governing	govern	VERB
ejpam-4442	61	10	parameters	parameter	NOUN
ejpam-4442	61	11	on	on	ADP
ejpam-4442	61	12	normalized	normalize	VERB
ejpam-4442	61	13	drag	drag	NOUN
ejpam-4442	61	14	force	force	NOUN
ejpam-4442	61	15	with	with	ADP
ejpam-4442	61	16	different	different	ADJ
ejpam-4442	61	17	slip	slip	NOUN
ejpam-4442	61	18	,	,	PUNCT
ejpam-4442	61	19	separation	separation	NOUN
ejpam-4442	61	20	,	,	PUNCT
ejpam-4442	61	21	frequency	frequency	NOUN
ejpam-4442	61	22	,	,	PUNCT
ejpam-4442	61	23	and	and	CCONJ
ejpam-4442	61	24	magnetic	magnetic	ADJ
ejpam-4442	61	25	parameters	parameter	NOUN
ejpam-4442	61	26	are	be	AUX
ejpam-4442	61	27	determined	determine	VERB
ejpam-4442	61	28	and	and	CCONJ
ejpam-4442	61	29	discussed	discuss	VERB
ejpam-4442	61	30	with	with	ADP
ejpam-4442	61	31	the	the	DET
ejpam-4442	61	32	help	help	NOUN
ejpam-4442	61	33	of	of	ADP
ejpam-4442	61	34	graphs	graph	NOUN
ejpam-4442	61	35	and	and	CCONJ
ejpam-4442	61	36	tables	table	NOUN
ejpam-4442	61	37	.	.	PUNCT
ejpam-4442	62	1	2	2	X
ejpam-4442	62	2	.	.	X
ejpam-4442	62	3	field	field	NOUN
ejpam-4442	62	4	equations	equation	NOUN
ejpam-4442	62	5	under	under	ADP
ejpam-4442	62	6	the	the	DET
ejpam-4442	62	7	stokesian	stokesian	ADJ
ejpam-4442	62	8	approximation	approximation	NOUN
ejpam-4442	62	9	,	,	PUNCT
ejpam-4442	62	10	the	the	DET
ejpam-4442	62	11	field	field	NOUN
ejpam-4442	62	12	equations	equation	NOUN
ejpam-4442	62	13	governing	govern	VERB
ejpam-4442	62	14	an	an	DET
ejpam-4442	62	15	incompressible	incompressible	ADJ
ejpam-4442	62	16	unsteady	unsteady	ADJ
ejpam-4442	62	17	viscous	viscous	ADJ
ejpam-4442	62	18	fluid	fluid	NOUN
ejpam-4442	62	19	flow	flow	NOUN
ejpam-4442	62	20	under	under	ADP
ejpam-4442	62	21	a	a	DET
ejpam-4442	62	22	uniform	uniform	ADJ
ejpam-4442	62	23	magnetic	magnetic	ADJ
ejpam-4442	62	24	field	field	NOUN
ejpam-4442	62	25	are	be	AUX
ejpam-4442	62	26	given	give	VERB
ejpam-4442	62	27	in	in	ADP
ejpam-4442	62	28	vector	vector	NOUN
ejpam-4442	62	29	forms	form	NOUN
ejpam-4442	62	30	as	as	ADP
ejpam-4442	62	31	:	:	PUNCT
ejpam-4442	62	32	(	(	PUNCT
ejpam-4442	62	33	i	i	NOUN
ejpam-4442	62	34	)	)	PUNCT
ejpam-4442	62	35	conservation	conservation	NOUN
ejpam-4442	62	36	of	of	ADP
ejpam-4442	62	37	mass	mass	ADJ
ejpam-4442	62	38	∇	∇	X
ejpam-4442	62	39	·	·	PUNCT
ejpam-4442	62	40	u⃗	u⃗	PROPN
ejpam-4442	62	41	=	=	SYM
ejpam-4442	62	42	0	0	NUM
ejpam-4442	62	43	,	,	PUNCT
ejpam-4442	62	44	(	(	PUNCT
ejpam-4442	62	45	1	1	NUM
ejpam-4442	62	46	)	)	PUNCT
ejpam-4442	62	47	(	(	PUNCT
ejpam-4442	62	48	ii	ii	NOUN
ejpam-4442	62	49	)	)	PUNCT
ejpam-4442	62	50	conservation	conservation	NOUN
ejpam-4442	62	51	of	of	ADP
ejpam-4442	62	52	momentum	momentum	NOUN
ejpam-4442	62	53	ρ	ρ	PROPN
ejpam-4442	62	54	∂u⃗	∂u⃗	PROPN
ejpam-4442	62	55	∂t	∂t	PROPN
ejpam-4442	63	1	=	=	PUNCT
ejpam-4442	64	1	µ∇2u⃗−∇p+	µ∇2u⃗−∇p+	PROPN
ejpam-4442	64	2	1	1	NUM
ejpam-4442	64	3	c	c	NOUN
ejpam-4442	64	4	j⃗	j⃗	PROPN
ejpam-4442	64	5	∧	∧	PROPN
ejpam-4442	64	6	b⃗.	b⃗.	PROPN
ejpam-4442	64	7	(	(	PUNCT
ejpam-4442	64	8	2	2	NUM
ejpam-4442	64	9	)	)	PUNCT
ejpam-4442	64	10	where	where	SCONJ
ejpam-4442	64	11	u⃗	u⃗	PROPN
ejpam-4442	64	12	is	be	AUX
ejpam-4442	64	13	the	the	DET
ejpam-4442	64	14	volume	volume	NOUN
ejpam-4442	64	15	averaged	average	VERB
ejpam-4442	64	16	velocity	velocity	NOUN
ejpam-4442	64	17	parallel	parallel	NOUN
ejpam-4442	64	18	to	to	ADP
ejpam-4442	64	19	the	the	DET
ejpam-4442	64	20	wall	wall	NOUN
ejpam-4442	64	21	,	,	PUNCT
ejpam-4442	64	22	p	p	NOUN
ejpam-4442	64	23	is	be	AUX
ejpam-4442	64	24	the	the	DET
ejpam-4442	64	25	pore	pore	ADJ
ejpam-4442	64	26	average	average	ADJ
ejpam-4442	64	27	pressure	pressure	NOUN
ejpam-4442	64	28	,	,	PUNCT
ejpam-4442	64	29	µ	µ	X
ejpam-4442	64	30	represents	represent	VERB
ejpam-4442	64	31	the	the	DET
ejpam-4442	64	32	kinematic	kinematic	ADJ
ejpam-4442	64	33	viscosity	viscosity	NOUN
ejpam-4442	64	34	,	,	PUNCT
ejpam-4442	64	35	ρ	ρ	PROPN
ejpam-4442	64	36	is	be	AUX
ejpam-4442	64	37	the	the	DET
ejpam-4442	64	38	density	density	NOUN
ejpam-4442	64	39	of	of	ADP
ejpam-4442	64	40	the	the	DET
ejpam-4442	64	41	fluid	fluid	NOUN
ejpam-4442	64	42	,	,	PUNCT
ejpam-4442	64	43	and	and	CCONJ
ejpam-4442	64	44	c	c	NOUN
ejpam-4442	64	45	is	be	AUX
ejpam-4442	64	46	the	the	DET
ejpam-4442	64	47	speed	speed	NOUN
ejpam-4442	64	48	of	of	ADP
ejpam-4442	64	49	shreen	shreen	PROPN
ejpam-4442	64	50	el	el	PROPN
ejpam-4442	64	51	-	-	PUNCT
ejpam-4442	64	52	sapa	sapa	PROPN
ejpam-4442	64	53	/	/	SYM
ejpam-4442	64	54	eur	eur	NOUN
ejpam-4442	64	55	.	.	PUNCT
ejpam-4442	65	1	j.	j.	PROPN
ejpam-4442	65	2	pure	pure	PROPN
ejpam-4442	65	3	appl	appl	PROPN
ejpam-4442	65	4	.	.	PROPN
ejpam-4442	65	5	math	math	PROPN
ejpam-4442	65	6	,	,	PUNCT
ejpam-4442	65	7	15	15	NUM
ejpam-4442	65	8	(	(	PUNCT
ejpam-4442	65	9	3	3	NUM
ejpam-4442	65	10	)	)	PUNCT
ejpam-4442	65	11	(	(	PUNCT
ejpam-4442	65	12	2022	2022	NUM
ejpam-4442	65	13	)	)	PUNCT
ejpam-4442	65	14	,	,	PUNCT
ejpam-4442	65	15	1376	1376	NUM
ejpam-4442	65	16	-	-	SYM
ejpam-4442	65	17	1401	1401	NUM
ejpam-4442	65	18	1379	1379	NUM
ejpam-4442	65	19	light	light	NOUN
ejpam-4442	65	20	.	.	PUNCT
ejpam-4442	66	1	also	also	ADV
ejpam-4442	66	2	,	,	PUNCT
ejpam-4442	66	3	j⃗	j⃗	PROPN
ejpam-4442	66	4	=	=	PUNCT
ejpam-4442	66	5	σ0	σ0	PROPN
ejpam-4442	66	6	c	c	NOUN
ejpam-4442	66	7	u⃗	u⃗	PROPN
ejpam-4442	66	8	∧	∧	PROPN
ejpam-4442	66	9	b⃗,∧b⃗	b⃗,∧b⃗	NOUN
ejpam-4442	66	10	=	=	PROPN
ejpam-4442	66	11	µ0	µ0	NOUN
ejpam-4442	66	12	∧	∧	PROPN
ejpam-4442	66	13	h⃗	h⃗	PROPN
ejpam-4442	66	14	,	,	PUNCT
ejpam-4442	66	15	where	where	SCONJ
ejpam-4442	66	16	j⃗	j⃗	NOUN
ejpam-4442	66	17	,	,	PUNCT
ejpam-4442	66	18	b⃗	b⃗	PROPN
ejpam-4442	66	19	and	and	CCONJ
ejpam-4442	66	20	h⃗	h⃗	PROPN
ejpam-4442	66	21	are	be	AUX
ejpam-4442	66	22	the	the	DET
ejpam-4442	66	23	current	current	ADJ
ejpam-4442	66	24	density	density	NOUN
ejpam-4442	66	25	,	,	PUNCT
ejpam-4442	66	26	the	the	DET
ejpam-4442	66	27	magnetic	magnetic	ADJ
ejpam-4442	66	28	induction	induction	NOUN
ejpam-4442	66	29	,	,	PUNCT
ejpam-4442	66	30	the	the	DET
ejpam-4442	66	31	magnetic	magnetic	ADJ
ejpam-4442	66	32	field	field	NOUN
ejpam-4442	66	33	respectively	respectively	ADV
ejpam-4442	66	34	,	,	PUNCT
ejpam-4442	66	35	σ0	σ0	PROPN
ejpam-4442	66	36	is	be	AUX
ejpam-4442	66	37	the	the	DET
ejpam-4442	66	38	electrical	electrical	ADJ
ejpam-4442	66	39	conductivity	conductivity	NOUN
ejpam-4442	66	40	and	and	CCONJ
ejpam-4442	66	41	µ0	µ0	NOUN
ejpam-4442	66	42	is	be	AUX
ejpam-4442	66	43	the	the	DET
ejpam-4442	66	44	magnetic	magnetic	ADJ
ejpam-4442	66	45	permeability	permeability	NOUN
ejpam-4442	66	46	.	.	PUNCT
ejpam-4442	67	1	the	the	DET
ejpam-4442	67	2	constitutive	constitutive	ADJ
ejpam-4442	67	3	equations	equation	NOUN
ejpam-4442	67	4	for	for	ADP
ejpam-4442	67	5	the	the	DET
ejpam-4442	67	6	stress	stress	NOUN
ejpam-4442	67	7	tensor	tensor	NOUN
ejpam-4442	67	8	π	π	PROPN
ejpam-4442	67	9	can	can	AUX
ejpam-4442	67	10	be	be	AUX
ejpam-4442	67	11	written	write	VERB
ejpam-4442	67	12	as	as	ADP
ejpam-4442	67	13	:	:	PUNCT
ejpam-4442	67	14	π	π	X
ejpam-4442	67	15	=	=	PUNCT
ejpam-4442	67	16	−pi	−pi	PROPN
ejpam-4442	68	1	+	+	CCONJ
ejpam-4442	68	2	2µ∆	2µ∆	NUM
ejpam-4442	68	3	,	,	PUNCT
ejpam-4442	68	4	(	(	PUNCT
ejpam-4442	68	5	3	3	X
ejpam-4442	68	6	)	)	PUNCT
ejpam-4442	68	7	where	where	SCONJ
ejpam-4442	68	8	∆	∆	PROPN
ejpam-4442	68	9	=	=	SYM
ejpam-4442	68	10	1	1	NUM
ejpam-4442	68	11	2	2	NUM
ejpam-4442	68	12	(	(	PUNCT
ejpam-4442	68	13	∇u⃗+∇t	∇u⃗+∇t	NOUN
ejpam-4442	68	14	u⃗	u⃗	PROPN
ejpam-4442	68	15	)	)	PUNCT
ejpam-4442	68	16	is	be	AUX
ejpam-4442	68	17	the	the	DET
ejpam-4442	68	18	deformation	deformation	NOUN
ejpam-4442	68	19	tensor	tensor	NOUN
ejpam-4442	68	20	,	,	PUNCT
ejpam-4442	68	21	and	and	CCONJ
ejpam-4442	68	22	i	i	PRON
ejpam-4442	68	23	is	be	AUX
ejpam-4442	68	24	the	the	DET
ejpam-4442	68	25	unit	unit	NOUN
ejpam-4442	68	26	dyadic	dyadic	NOUN
ejpam-4442	68	27	.	.	PUNCT
ejpam-4442	69	1	here	here	ADV
ejpam-4442	69	2	(	(	PUNCT
ejpam-4442	69	3	.)t	.)t	NUM
ejpam-4442	69	4	denotes	denote	NOUN
ejpam-4442	69	5	for	for	ADP
ejpam-4442	69	6	transpose	transpose	NOUN
ejpam-4442	69	7	.	.	PUNCT
ejpam-4442	70	1	2.1	2.1	NUM
ejpam-4442	70	2	.	.	PUNCT
ejpam-4442	70	3	general	general	ADJ
ejpam-4442	70	4	slip	slip	NOUN
ejpam-4442	70	5	-	-	PUNCT
ejpam-4442	70	6	boundary	boundary	NOUN
ejpam-4442	70	7	conditions	condition	NOUN
ejpam-4442	70	8	at	at	ADP
ejpam-4442	70	9	a	a	DET
ejpam-4442	70	10	surface	surface	NOUN
ejpam-4442	70	11	of	of	ADP
ejpam-4442	70	12	the	the	DET
ejpam-4442	70	13	sphere	sphere	NOUN
ejpam-4442	70	14	,	,	PUNCT
ejpam-4442	70	15	we	we	PRON
ejpam-4442	70	16	shall	shall	AUX
ejpam-4442	70	17	assume	assume	VERB
ejpam-4442	70	18	slip	slip	VERB
ejpam-4442	70	19	and	and	CCONJ
ejpam-4442	70	20	use	use	VERB
ejpam-4442	70	21	the	the	DET
ejpam-4442	70	22	most	most	ADV
ejpam-4442	70	23	likely	likely	ADJ
ejpam-4442	70	24	hypothesis	hypothesis	NOUN
ejpam-4442	70	25	[	[	X
ejpam-4442	70	26	5	5	NUM
ejpam-4442	70	27	,	,	PUNCT
ejpam-4442	70	28	15	15	NUM
ejpam-4442	70	29	]	]	PUNCT
ejpam-4442	70	30	,	,	PUNCT
ejpam-4442	70	31	in	in	ADP
ejpam-4442	70	32	our	our	PRON
ejpam-4442	70	33	case	case	NOUN
ejpam-4442	70	34	this	this	DET
ejpam-4442	70	35	hypothesis	hypothesis	NOUN
ejpam-4442	70	36	takes	take	VERB
ejpam-4442	70	37	the	the	DET
ejpam-4442	70	38	form	form	NOUN
ejpam-4442	70	39	:(	:(	PUNCT
ejpam-4442	70	40	u⃗−	u⃗−	ADJ
ejpam-4442	70	41	ue⃗z	ue⃗z	PROPN
ejpam-4442	70	42	)	)	PUNCT
ejpam-4442	70	43	=	=	PUNCT
ejpam-4442	71	1	β	β	X
ejpam-4442	71	2	(	(	PUNCT
ejpam-4442	71	3	i	i	PRON
ejpam-4442	71	4	−	−	PROPN
ejpam-4442	71	5	n⃗n⃗	n⃗n⃗	ADV
ejpam-4442	71	6	)	)	PUNCT
ejpam-4442	71	7	·	·	PUNCT
ejpam-4442	72	1	(	(	PUNCT
ejpam-4442	72	2	n⃗	n⃗	PROPN
ejpam-4442	72	3	·	·	SYM
ejpam-4442	72	4	π	π	PROPN
ejpam-4442	72	5	)	)	PUNCT
ejpam-4442	72	6	(	(	PUNCT
ejpam-4442	72	7	4	4	NUM
ejpam-4442	72	8	)	)	PUNCT
ejpam-4442	72	9	where	where	SCONJ
ejpam-4442	72	10	(	(	PUNCT
ejpam-4442	72	11	i	i	NOUN
ejpam-4442	72	12	)	)	PUNCT
ejpam-4442	72	13	this	this	DET
ejpam-4442	72	14	coefficient	coefficient	NOUN
ejpam-4442	72	15	β	β	NOUN
ejpam-4442	72	16	,	,	PUNCT
ejpam-4442	72	17	is	be	AUX
ejpam-4442	72	18	a	a	DET
ejpam-4442	72	19	measure	measure	NOUN
ejpam-4442	72	20	of	of	ADP
ejpam-4442	72	21	the	the	DET
ejpam-4442	72	22	degree	degree	NOUN
ejpam-4442	72	23	of	of	ADP
ejpam-4442	72	24	tangential	tangential	ADJ
ejpam-4442	72	25	slip	slip	NOUN
ejpam-4442	72	26	existing	exist	VERB
ejpam-4442	72	27	between	between	ADP
ejpam-4442	72	28	the	the	DET
ejpam-4442	72	29	fluid	fluid	NOUN
ejpam-4442	72	30	and	and	CCONJ
ejpam-4442	72	31	the	the	DET
ejpam-4442	72	32	solid	solid	ADJ
ejpam-4442	72	33	at	at	ADP
ejpam-4442	72	34	its	its	PRON
ejpam-4442	72	35	surface	surface	NOUN
ejpam-4442	72	36	.	.	PUNCT
ejpam-4442	73	1	(	(	PUNCT
ejpam-4442	73	2	ii	ii	X
ejpam-4442	73	3	)	)	PUNCT
ejpam-4442	73	4	it	it	PRON
ejpam-4442	73	5	is	be	AUX
ejpam-4442	73	6	assumed	assume	VERB
ejpam-4442	73	7	to	to	PART
ejpam-4442	73	8	depend	depend	VERB
ejpam-4442	73	9	only	only	ADV
ejpam-4442	73	10	on	on	ADP
ejpam-4442	73	11	the	the	DET
ejpam-4442	73	12	nature	nature	NOUN
ejpam-4442	73	13	of	of	ADP
ejpam-4442	73	14	the	the	DET
ejpam-4442	73	15	fluid	fluid	ADJ
ejpam-4442	73	16	and	and	CCONJ
ejpam-4442	73	17	solid	solid	ADJ
ejpam-4442	73	18	surface	surface	NOUN
ejpam-4442	73	19	.	.	PUNCT
ejpam-4442	74	1	(	(	PUNCT
ejpam-4442	74	2	iii	iii	X
ejpam-4442	74	3	)	)	PUNCT
ejpam-4442	74	4	in	in	ADP
ejpam-4442	74	5	the	the	DET
ejpam-4442	74	6	limiting	limit	VERB
ejpam-4442	74	7	case	case	NOUN
ejpam-4442	74	8	of	of	ADP
ejpam-4442	74	9	β	β	PROPN
ejpam-4442	74	10	→	→	SYM
ejpam-4442	74	11	∞	∞	PROPN
ejpam-4442	74	12	,	,	PUNCT
ejpam-4442	74	13	there	there	PRON
ejpam-4442	74	14	is	be	VERB
ejpam-4442	74	15	a	a	DET
ejpam-4442	74	16	perfect	perfect	ADJ
ejpam-4442	74	17	slip	slip	NOUN
ejpam-4442	74	18	at	at	ADP
ejpam-4442	74	19	the	the	DET
ejpam-4442	74	20	particle	particle	NOUN
ejpam-4442	74	21	surface	surface	NOUN
ejpam-4442	74	22	and	and	CCONJ
ejpam-4442	74	23	the	the	DET
ejpam-4442	74	24	particle	particle	NOUN
ejpam-4442	74	25	acts	act	VERB
ejpam-4442	74	26	like	like	ADP
ejpam-4442	74	27	a	a	DET
ejpam-4442	74	28	spherical	spherical	ADJ
ejpam-4442	74	29	gas	gas	NOUN
ejpam-4442	74	30	bubble	bubble	NOUN
ejpam-4442	74	31	,	,	PUNCT
ejpam-4442	74	32	while	while	SCONJ
ejpam-4442	74	33	the	the	DET
ejpam-4442	74	34	standard	standard	ADJ
ejpam-4442	74	35	no	no	DET
ejpam-4442	74	36	-	-	PUNCT
ejpam-4442	74	37	slip	slip	NOUN
ejpam-4442	74	38	boundary	boundary	ADJ
ejpam-4442	74	39	condition	condition	NOUN
ejpam-4442	74	40	for	for	ADP
ejpam-4442	74	41	solids	solid	NOUN
ejpam-4442	74	42	is	be	AUX
ejpam-4442	74	43	obtained	obtain	VERB
ejpam-4442	74	44	by	by	ADP
ejpam-4442	74	45	letting	let	VERB
ejpam-4442	74	46	β	β	PRON
ejpam-4442	74	47	→	→	X
ejpam-4442	74	48	0	0	NUM
ejpam-4442	74	49	.	.	PUNCT
ejpam-4442	75	1	(	(	PUNCT
ejpam-4442	75	2	iv	iv	X
ejpam-4442	75	3	)	)	PUNCT
ejpam-4442	75	4	experimentally	experimentally	ADV
ejpam-4442	75	5	,	,	PUNCT
ejpam-4442	75	6	the	the	DET
ejpam-4442	75	7	slip	slip	NOUN
ejpam-4442	75	8	has	have	AUX
ejpam-4442	75	9	been	be	AUX
ejpam-4442	75	10	measured	measure	VERB
ejpam-4442	75	11	for	for	ADP
ejpam-4442	75	12	liquids	liquid	NOUN
ejpam-4442	75	13	under	under	ADP
ejpam-4442	75	14	various	various	ADJ
ejpam-4442	75	15	physical	physical	ADJ
ejpam-4442	75	16	and	and	CCONJ
ejpam-4442	75	17	geometrical	geometrical	ADJ
ejpam-4442	75	18	circumferences	circumference	NOUN
ejpam-4442	75	19	.	.	PUNCT
ejpam-4442	76	1	therefore	therefore	ADV
ejpam-4442	76	2	,	,	PUNCT
ejpam-4442	76	3	some	some	DET
ejpam-4442	76	4	authors	author	NOUN
ejpam-4442	76	5	have	have	AUX
ejpam-4442	76	6	used	use	VERB
ejpam-4442	76	7	a	a	DET
ejpam-4442	76	8	different	different	ADJ
ejpam-4442	76	9	parameterization	parameterization	NOUN
ejpam-4442	76	10	for	for	ADP
ejpam-4442	76	11	the	the	DET
ejpam-4442	76	12	slip	slip	NOUN
ejpam-4442	76	13	e.g.	e.g.	ADV
ejpam-4442	76	14	(	(	PUNCT
ejpam-4442	76	15	happel	happel	PROPN
ejpam-4442	76	16	and	and	CCONJ
ejpam-4442	76	17	brenner	brenner	PROPN
ejpam-4442	76	18	1983	1983	NUM
ejpam-4442	76	19	,	,	PUNCT
ejpam-4442	76	20	saad	saad	PROPN
ejpam-4442	76	21	2012	2012	NUM
ejpam-4442	76	22	,	,	PUNCT
ejpam-4442	76	23	lee	lee	PROPN
ejpam-4442	76	24	and	and	CCONJ
ejpam-4442	76	25	keh	keh	PROPN
ejpam-4442	76	26	2013	2013	NUM
ejpam-4442	76	27	,	,	PUNCT
ejpam-4442	76	28	faltas	falta	NOUN
ejpam-4442	76	29	and	and	CCONJ
ejpam-4442	76	30	shreen	shreen	ADJ
ejpam-4442	76	31	2019	2019	NUM
ejpam-4442	76	32	)	)	PUNCT
ejpam-4442	76	33	.	.	PUNCT
ejpam-4442	77	1	3	3	X
ejpam-4442	77	2	.	.	X
ejpam-4442	77	3	mathematical	mathematical	ADJ
ejpam-4442	77	4	formulation	formulation	NOUN
ejpam-4442	77	5	consider	consider	VERB
ejpam-4442	77	6	a	a	DET
ejpam-4442	77	7	solid	solid	ADJ
ejpam-4442	77	8	spherical	spherical	ADJ
ejpam-4442	77	9	particle	particle	NOUN
ejpam-4442	77	10	that	that	PRON
ejpam-4442	77	11	is	be	AUX
ejpam-4442	77	12	oscillating	oscillate	VERB
ejpam-4442	77	13	and	and	CCONJ
ejpam-4442	77	14	traveling	travel	VERB
ejpam-4442	77	15	axisymmetrically	axisymmetrically	ADV
ejpam-4442	77	16	while	while	SCONJ
ejpam-4442	77	17	immersed	immerse	VERB
ejpam-4442	77	18	in	in	ADP
ejpam-4442	77	19	an	an	DET
ejpam-4442	77	20	unbounded	unbounded	ADJ
ejpam-4442	77	21	magnetic	magnetic	ADJ
ejpam-4442	77	22	viscous	viscous	ADJ
ejpam-4442	77	23	fluid	fluid	NOUN
ejpam-4442	77	24	.	.	PUNCT
ejpam-4442	78	1	the	the	DET
ejpam-4442	78	2	distance	distance	NOUN
ejpam-4442	78	3	of	of	ADP
ejpam-4442	78	4	the	the	DET
ejpam-4442	78	5	sphere	sphere	NOUN
ejpam-4442	78	6	center	center	NOUN
ejpam-4442	78	7	to	to	ADP
ejpam-4442	78	8	the	the	DET
ejpam-4442	78	9	wall	wall	NOUN
ejpam-4442	78	10	is	be	AUX
ejpam-4442	78	11	b.	b.	NOUN
ejpam-4442	78	12	in	in	ADP
ejpam-4442	78	13	order	order	NOUN
ejpam-4442	78	14	to	to	PART
ejpam-4442	78	15	conveniently	conveniently	ADV
ejpam-4442	78	16	describe	describe	VERB
ejpam-4442	78	17	the	the	DET
ejpam-4442	78	18	surfaces	surface	NOUN
ejpam-4442	78	19	of	of	ADP
ejpam-4442	78	20	the	the	DET
ejpam-4442	78	21	sphere	sphere	NOUN
ejpam-4442	78	22	and	and	CCONJ
ejpam-4442	78	23	plane	plane	NOUN
ejpam-4442	78	24	,	,	PUNCT
ejpam-4442	78	25	we	we	PRON
ejpam-4442	78	26	choose	choose	VERB
ejpam-4442	78	27	the	the	DET
ejpam-4442	78	28	sphere	sphere	NOUN
ejpam-4442	78	29	center	center	NOUN
ejpam-4442	78	30	as	as	ADP
ejpam-4442	78	31	the	the	DET
ejpam-4442	78	32	origin	origin	NOUN
ejpam-4442	78	33	and	and	CCONJ
ejpam-4442	78	34	use	use	VERB
ejpam-4442	78	35	both	both	CCONJ
ejpam-4442	78	36	the	the	DET
ejpam-4442	78	37	spherical	spherical	ADJ
ejpam-4442	78	38	polar	polar	ADJ
ejpam-4442	78	39	coordinates	coordinate	NOUN
ejpam-4442	78	40	system	system	NOUN
ejpam-4442	78	41	(	(	PUNCT
ejpam-4442	78	42	r	r	NOUN
ejpam-4442	78	43	,	,	PUNCT
ejpam-4442	78	44	θ	θ	PROPN
ejpam-4442	78	45	,	,	PUNCT
ejpam-4442	78	46	ϕ	ϕ	NOUN
ejpam-4442	78	47	)	)	PUNCT
ejpam-4442	78	48	and	and	CCONJ
ejpam-4442	78	49	the	the	DET
ejpam-4442	78	50	cylindrical	cylindrical	ADJ
ejpam-4442	78	51	coordinates	coordinate	NOUN
ejpam-4442	78	52	(	(	PUNCT
ejpam-4442	78	53	ρ	ρ	PROPN
ejpam-4442	78	54	,	,	PUNCT
ejpam-4442	78	55	ϕ	ϕ	NOUN
ejpam-4442	78	56	,	,	PUNCT
ejpam-4442	78	57	z	z	NOUN
ejpam-4442	78	58	)	)	PUNCT
ejpam-4442	78	59	,	,	PUNCT
ejpam-4442	78	60	the	the	DET
ejpam-4442	78	61	relations	relation	NOUN
ejpam-4442	78	62	between	between	ADP
ejpam-4442	78	63	the	the	DET
ejpam-4442	78	64	two	two	NUM
ejpam-4442	78	65	coordinate	coordinate	NOUN
ejpam-4442	78	66	systems	system	NOUN
ejpam-4442	78	67	are	be	AUX
ejpam-4442	78	68	:	:	PUNCT
ejpam-4442	78	69	r2	r2	PROPN
ejpam-4442	78	70	=	=	PUNCT
ejpam-4442	78	71	ρ2	ρ2	PROPN
ejpam-4442	78	72	+	+	CCONJ
ejpam-4442	78	73	z2	z2	PROPN
ejpam-4442	78	74	,	,	PUNCT
ejpam-4442	78	75	θ	θ	PROPN
ejpam-4442	78	76	=	=	SYM
ejpam-4442	79	1	cos−1	cos−1	PROPN
ejpam-4442	79	2	(	(	PUNCT
ejpam-4442	79	3	z	z	NOUN
ejpam-4442	79	4	r	r	NOUN
ejpam-4442	79	5	)	)	PUNCT
ejpam-4442	79	6	(	(	PUNCT
ejpam-4442	79	7	5	5	X
ejpam-4442	79	8	)	)	PUNCT
ejpam-4442	79	9	shreen	shreen	PROPN
ejpam-4442	79	10	el	el	PROPN
ejpam-4442	79	11	-	-	PUNCT
ejpam-4442	79	12	sapa	sapa	PROPN
ejpam-4442	79	13	/	/	SYM
ejpam-4442	79	14	eur	eur	NOUN
ejpam-4442	79	15	.	.	PUNCT
ejpam-4442	80	1	j.	j.	PROPN
ejpam-4442	80	2	pure	pure	PROPN
ejpam-4442	80	3	appl	appl	PROPN
ejpam-4442	80	4	.	.	PROPN
ejpam-4442	80	5	math	math	PROPN
ejpam-4442	80	6	,	,	PUNCT
ejpam-4442	80	7	15	15	NUM
ejpam-4442	80	8	(	(	PUNCT
ejpam-4442	80	9	3	3	NUM
ejpam-4442	80	10	)	)	PUNCT
ejpam-4442	80	11	(	(	PUNCT
ejpam-4442	80	12	2022	2022	NUM
ejpam-4442	80	13	)	)	PUNCT
ejpam-4442	80	14	,	,	PUNCT
ejpam-4442	80	15	1376	1376	NUM
ejpam-4442	80	16	-	-	SYM
ejpam-4442	80	17	1401	1401	NUM
ejpam-4442	80	18	1380	1380	NUM
ejpam-4442	80	19	figure	figure	NOUN
ejpam-4442	80	20	1	1	NUM
ejpam-4442	80	21	:	:	PUNCT
ejpam-4442	80	22	diagram	diagram	NOUN
ejpam-4442	80	23	of	of	ADP
ejpam-4442	80	24	a	a	DET
ejpam-4442	80	25	magnetic	magnetic	ADJ
ejpam-4442	80	26	sphere	sphere	NOUN
ejpam-4442	80	27	oscillating	oscillate	VERB
ejpam-4442	80	28	perpendicular	perpendicular	NOUN
ejpam-4442	80	29	to	to	ADP
ejpam-4442	80	30	a	a	DET
ejpam-4442	80	31	plane	plane	NOUN
ejpam-4442	80	32	wall	wall	NOUN
ejpam-4442	80	33	.	.	PUNCT
ejpam-4442	81	1	the	the	DET
ejpam-4442	81	2	flow	flow	NOUN
ejpam-4442	81	3	generated	generate	VERB
ejpam-4442	81	4	is	be	AUX
ejpam-4442	81	5	axially	axially	ADV
ejpam-4442	81	6	symmetric	symmetric	ADJ
ejpam-4442	81	7	and	and	CCONJ
ejpam-4442	81	8	all	all	DET
ejpam-4442	81	9	the	the	DET
ejpam-4442	81	10	flow	flow	NOUN
ejpam-4442	81	11	functions	function	NOUN
ejpam-4442	81	12	are	be	AUX
ejpam-4442	81	13	independent	independent	ADJ
ejpam-4442	81	14	of	of	ADP
ejpam-4442	81	15	ϕ.	ϕ.	PROPN
ejpam-4442	81	16	we	we	PRON
ejpam-4442	81	17	can	can	AUX
ejpam-4442	81	18	choose	choose	VERB
ejpam-4442	81	19	the	the	DET
ejpam-4442	81	20	velocity	velocity	NOUN
ejpam-4442	81	21	vector	vector	NOUN
ejpam-4442	81	22	,	,	PUNCT
ejpam-4442	81	23	the	the	DET
ejpam-4442	81	24	pressure	pressure	NOUN
ejpam-4442	81	25	,	,	PUNCT
ejpam-4442	81	26	and	and	CCONJ
ejpam-4442	81	27	the	the	DET
ejpam-4442	81	28	stream	stream	NOUN
ejpam-4442	81	29	function	function	NOUN
ejpam-4442	81	30	as	as	ADP
ejpam-4442	81	31	:	:	PUNCT
ejpam-4442	81	32	u⃗	u⃗	PROPN
ejpam-4442	81	33	=	=	SYM
ejpam-4442	81	34	u(r	u(r	PROPN
ejpam-4442	81	35	,	,	PUNCT
ejpam-4442	81	36	θ	θ	NOUN
ejpam-4442	81	37	)	)	PUNCT
ejpam-4442	81	38	eiϑt	eiϑt	NOUN
ejpam-4442	81	39	,	,	PUNCT
ejpam-4442	81	40	p	p	NOUN
ejpam-4442	81	41	=	=	PROPN
ejpam-4442	81	42	p(r	p(r	PROPN
ejpam-4442	81	43	,	,	PUNCT
ejpam-4442	81	44	θ	θ	NOUN
ejpam-4442	81	45	)	)	PUNCT
ejpam-4442	81	46	eiϑt	eiϑt	NOUN
ejpam-4442	81	47	,	,	PUNCT
ejpam-4442	81	48	ψ	ψ	X
ejpam-4442	81	49	=	=	SYM
ejpam-4442	81	50	ψ(r	ψ(r	PROPN
ejpam-4442	81	51	,	,	PUNCT
ejpam-4442	81	52	θ	θ	NOUN
ejpam-4442	81	53	)	)	PUNCT
ejpam-4442	81	54	eiϑt	eiϑt	NOUN
ejpam-4442	81	55	,	,	PUNCT
ejpam-4442	81	56	(	(	PUNCT
ejpam-4442	81	57	6	6	NUM
ejpam-4442	81	58	)	)	PUNCT
ejpam-4442	81	59	where	where	SCONJ
ejpam-4442	81	60	ϑ	ϑ	X
ejpam-4442	81	61	,	,	PUNCT
ejpam-4442	81	62	is	be	AUX
ejpam-4442	81	63	the	the	DET
ejpam-4442	81	64	frequency	frequency	NOUN
ejpam-4442	81	65	of	of	ADP
ejpam-4442	81	66	oscillation	oscillation	NOUN
ejpam-4442	81	67	.	.	PUNCT
ejpam-4442	82	1	using	use	VERB
ejpam-4442	82	2	equation	equation	NOUN
ejpam-4442	82	3	(	(	PUNCT
ejpam-4442	82	4	1	1	NUM
ejpam-4442	82	5	)	)	PUNCT
ejpam-4442	82	6	,	,	PUNCT
ejpam-4442	82	7	we	we	PRON
ejpam-4442	82	8	write	write	VERB
ejpam-4442	82	9	the	the	DET
ejpam-4442	82	10	velocity	velocity	NOUN
ejpam-4442	82	11	components	component	NOUN
ejpam-4442	82	12	in	in	ADP
ejpam-4442	82	13	terms	term	NOUN
ejpam-4442	82	14	of	of	ADP
ejpam-4442	82	15	the	the	DET
ejpam-4442	82	16	stream	stream	NOUN
ejpam-4442	82	17	function	function	NOUN
ejpam-4442	82	18	ψ	ψ	NOUN
ejpam-4442	82	19	in	in	ADP
ejpam-4442	82	20	the	the	DET
ejpam-4442	82	21	cylindrical	cylindrical	ADJ
ejpam-4442	82	22	coordinates	coordinate	NOUN
ejpam-4442	82	23	as	as	ADP
ejpam-4442	82	24	:	:	PUNCT
ejpam-4442	82	25	uρ	uρ	INTJ
ejpam-4442	82	26	=	=	SYM
ejpam-4442	82	27	−1	−1	NOUN
ejpam-4442	82	28	ρ	ρ	PROPN
ejpam-4442	82	29	∂ψ	∂ψ	PROPN
ejpam-4442	83	1	∂z	∂z	PROPN
ejpam-4442	83	2	,	,	PUNCT
ejpam-4442	83	3	uz	uz	X
ejpam-4442	83	4	=	=	SYM
ejpam-4442	83	5	1	1	NUM
ejpam-4442	83	6	ρ	ρ	NUM
ejpam-4442	83	7	∂ψ	∂ψ	PROPN
ejpam-4442	83	8	∂ρ	∂ρ	PROPN
ejpam-4442	83	9	.	.	PUNCT
ejpam-4442	84	1	(	(	PUNCT
ejpam-4442	84	2	7	7	X
ejpam-4442	84	3	)	)	PUNCT
ejpam-4442	84	4	introducing	introduce	VERB
ejpam-4442	84	5	the	the	DET
ejpam-4442	84	6	non	non	ADJ
ejpam-4442	84	7	–	–	PUNCT
ejpam-4442	84	8	dimensional	dimensional	ADJ
ejpam-4442	84	9	quantities	quantity	NOUN
ejpam-4442	84	10	and	and	CCONJ
ejpam-4442	84	11	assume	assume	VERB
ejpam-4442	84	12	that	that	SCONJ
ejpam-4442	84	13	ϑ−1	ϑ−1	NOUN
ejpam-4442	84	14	is	be	AUX
ejpam-4442	84	15	the	the	DET
ejpam-4442	84	16	typical	typical	ADJ
ejpam-4442	84	17	time	time	NOUN
ejpam-4442	84	18	:	:	PUNCT
ejpam-4442	84	19	r∗	r∗	VERB
ejpam-4442	84	20	=	=	PUNCT
ejpam-4442	84	21	r	r	NOUN
ejpam-4442	84	22	a	a	PRON
ejpam-4442	84	23	,	,	PUNCT
ejpam-4442	84	24	ρ∗	ρ∗	PROPN
ejpam-4442	84	25	=	=	PUNCT
ejpam-4442	84	26	ρ	ρ	PROPN
ejpam-4442	84	27	a	a	PRON
ejpam-4442	84	28	,	,	PUNCT
ejpam-4442	84	29	z∗	z∗	NOUN
ejpam-4442	84	30	=	=	SYM
ejpam-4442	84	31	z	z	X
ejpam-4442	84	32	a	a	PRON
ejpam-4442	84	33	,	,	PUNCT
ejpam-4442	84	34	τ∗	τ∗	X
ejpam-4442	84	35	=	=	SYM
ejpam-4442	84	36	τa	τa	PROPN
ejpam-4442	84	37	,	,	PUNCT
ejpam-4442	84	38	ζ∗	ζ∗	PROPN
ejpam-4442	84	39	=	=	SYM
ejpam-4442	84	40	ζa	ζa	NOUN
ejpam-4442	84	41	,	,	PUNCT
ejpam-4442	84	42	ψ∗	ψ∗	NOUN
ejpam-4442	84	43	=	=	SYM
ejpam-4442	84	44	ψ	ψ	X
ejpam-4442	84	45	ua2	ua2	PROPN
ejpam-4442	84	46	,	,	PUNCT
ejpam-4442	84	47	π∗	π∗	PROPN
ejpam-4442	84	48	=	=	SYM
ejpam-4442	84	49	aπ	aπ	NOUN
ejpam-4442	85	1	µu	µu	ADP
ejpam-4442	85	2	,	,	PUNCT
ejpam-4442	85	3	p	p	NOUN
ejpam-4442	85	4	∗	∗	NOUN
ejpam-4442	85	5	=	=	SYM
ejpam-4442	85	6	ap	ap	PROPN
ejpam-4442	85	7	µa	µa	NOUN
ejpam-4442	85	8	.	.	PUNCT
ejpam-4442	86	1	(	(	PUNCT
ejpam-4442	86	2	8)	8)	NUM
ejpam-4442	86	3	we	we	PRON
ejpam-4442	86	4	normalize	normalize	VERB
ejpam-4442	86	5	all	all	DET
ejpam-4442	86	6	lengths	length	NOUN
ejpam-4442	86	7	with	with	ADP
ejpam-4442	86	8	respect	respect	NOUN
ejpam-4442	86	9	to	to	ADP
ejpam-4442	86	10	the	the	DET
ejpam-4442	86	11	characteristic	characteristic	ADJ
ejpam-4442	86	12	radius	radius	NOUN
ejpam-4442	86	13	of	of	ADP
ejpam-4442	86	14	the	the	DET
ejpam-4442	86	15	sphere	sphere	NOUN
ejpam-4442	86	16	,	,	PUNCT
ejpam-4442	86	17	a	a	PRON
ejpam-4442	86	18	and	and	CCONJ
ejpam-4442	86	19	since	since	SCONJ
ejpam-4442	86	20	the	the	DET
ejpam-4442	86	21	velocity	velocity	NOUN
ejpam-4442	86	22	of	of	ADP
ejpam-4442	86	23	fluid	fluid	NOUN
ejpam-4442	86	24	is	be	AUX
ejpam-4442	86	25	not	not	PART
ejpam-4442	86	26	perpendicular	perpendicular	ADJ
ejpam-4442	86	27	to	to	ADP
ejpam-4442	86	28	magnetic	magnetic	ADJ
ejpam-4442	86	29	induction	induction	NOUN
ejpam-4442	86	30	vector	vector	NOUN
ejpam-4442	86	31	,	,	PUNCT
ejpam-4442	86	32	we	we	PRON
ejpam-4442	86	33	will	will	AUX
ejpam-4442	86	34	use	use	VERB
ejpam-4442	86	35	lorentz	lorentz	PROPN
ejpam-4442	86	36	’s	’s	PART
ejpam-4442	86	37	average	average	ADJ
ejpam-4442	86	38	force	force	NOUN
ejpam-4442	86	39	over	over	ADP
ejpam-4442	86	40	all	all	DET
ejpam-4442	86	41	directions	direction	NOUN
ejpam-4442	86	42	of	of	ADP
ejpam-4442	86	43	magnetic	magnetic	ADJ
ejpam-4442	86	44	induction	induction	NOUN
ejpam-4442	86	45	,	,	PUNCT
ejpam-4442	86	46	keeping	keep	VERB
ejpam-4442	86	47	the	the	DET
ejpam-4442	86	48	symmetry	symmetry	NOUN
ejpam-4442	86	49	of	of	ADP
ejpam-4442	86	50	the	the	DET
ejpam-4442	86	51	flow	flow	NOUN
ejpam-4442	86	52	,	,	PUNCT
ejpam-4442	86	53	b⃗	b⃗	PROPN
ejpam-4442	86	54	=	=	PUNCT
ejpam-4442	87	1	b0e⃗ϕ	b0e⃗ϕ	PROPN
ejpam-4442	87	2	,	,	PUNCT
ejpam-4442	87	3	b0	b0	NOUN
ejpam-4442	87	4	is	be	AUX
ejpam-4442	87	5	a	a	DET
ejpam-4442	87	6	constant	constant	ADJ
ejpam-4442	87	7	used	use	VERB
ejpam-4442	87	8	by	by	ADP
ejpam-4442	87	9	(	(	PUNCT
ejpam-4442	87	10	yadav	yadav	PROPN
ejpam-4442	88	1	[	[	X
ejpam-4442	88	2	40	40	NUM
ejpam-4442	88	3	]	]	PUNCT
ejpam-4442	88	4	and	and	CCONJ
ejpam-4442	88	5	el	el	PROPN
ejpam-4442	88	6	-	-	PROPN
ejpam-4442	88	7	sapa	sapa	NOUN
ejpam-4442	88	8	[	[	X
ejpam-4442	88	9	39	39	NUM
ejpam-4442	88	10	]	]	PUNCT
ejpam-4442	88	11	)	)	PUNCT
ejpam-4442	88	12	.	.	PUNCT
ejpam-4442	89	1	substituting	substitute	VERB
ejpam-4442	89	2	from	from	ADP
ejpam-4442	89	3	equation	equation	NOUN
ejpam-4442	89	4	(	(	PUNCT
ejpam-4442	89	5	8)	8)	NUM
ejpam-4442	89	6	into	into	ADP
ejpam-4442	89	7	equation	equation	NOUN
ejpam-4442	89	8	(	(	PUNCT
ejpam-4442	89	9	2	2	X
ejpam-4442	89	10	)	)	PUNCT
ejpam-4442	89	11	we	we	PRON
ejpam-4442	89	12	get	get	AUX
ejpam-4442	89	13	:	:	PUNCT
ejpam-4442	89	14	rest	rest	NOUN
ejpam-4442	89	15	∂u⃗	∂u⃗	VERB
ejpam-4442	89	16	∂t	∂t	PROPN
ejpam-4442	89	17	=	=	PROPN
ejpam-4442	89	18	∇2u⃗−∇p−	∇2u⃗−∇p−	PROPN
ejpam-4442	89	19	a2σ0b	a2σ0b	PUNCT
ejpam-4442	89	20	2	2	NUM
ejpam-4442	89	21	0	0	NUM
ejpam-4442	89	22	µc2	µc2	PROPN
ejpam-4442	89	23	u⃗	u⃗	PROPN
ejpam-4442	89	24	,	,	PUNCT
ejpam-4442	89	25	(	(	PUNCT
ejpam-4442	89	26	9	9	X
ejpam-4442	89	27	)	)	PUNCT
ejpam-4442	89	28	where	where	SCONJ
ejpam-4442	89	29	•	•	NOUN
ejpam-4442	89	30	re	re	X
ejpam-4442	89	31	=	=	NOUN
ejpam-4442	89	32	ua	ua	PROPN
ejpam-4442	89	33	ν	ν	PROPN
ejpam-4442	89	34	is	be	AUX
ejpam-4442	89	35	the	the	DET
ejpam-4442	89	36	magnetic	magnetic	ADJ
ejpam-4442	89	37	reynolds	reynolds	PROPN
ejpam-4442	89	38	number	number	PROPN
ejpam-4442	89	39	.	.	PUNCT
ejpam-4442	90	1	•	•	NUM
ejpam-4442	90	2	a	a	PRON
ejpam-4442	90	3	is	be	AUX
ejpam-4442	90	4	a	a	DET
ejpam-4442	90	5	characteristic	characteristic	ADJ
ejpam-4442	90	6	length	length	NOUN
ejpam-4442	90	7	.	.	PUNCT
ejpam-4442	91	1	shreen	shreen	PROPN
ejpam-4442	91	2	el	el	PROPN
ejpam-4442	91	3	-	-	PUNCT
ejpam-4442	91	4	sapa	sapa	PROPN
ejpam-4442	91	5	/	/	SYM
ejpam-4442	91	6	eur	eur	NOUN
ejpam-4442	91	7	.	.	PUNCT
ejpam-4442	92	1	j.	j.	PROPN
ejpam-4442	92	2	pure	pure	PROPN
ejpam-4442	92	3	appl	appl	PROPN
ejpam-4442	92	4	.	.	PROPN
ejpam-4442	92	5	math	math	PROPN
ejpam-4442	92	6	,	,	PUNCT
ejpam-4442	92	7	15	15	NUM
ejpam-4442	92	8	(	(	PUNCT
ejpam-4442	92	9	3	3	NUM
ejpam-4442	92	10	)	)	PUNCT
ejpam-4442	92	11	(	(	PUNCT
ejpam-4442	92	12	2022	2022	NUM
ejpam-4442	92	13	)	)	PUNCT
ejpam-4442	92	14	,	,	PUNCT
ejpam-4442	92	15	1376	1376	NUM
ejpam-4442	92	16	-	-	SYM
ejpam-4442	92	17	1401	1401	NUM
ejpam-4442	92	18	1381	1381	NUM
ejpam-4442	92	19	•	•	NOUN
ejpam-4442	92	20	st	st	PROPN
ejpam-4442	93	1	=	=	X
ejpam-4442	93	2	ϑa	ϑa	PROPN
ejpam-4442	93	3	u	u	NOUN
ejpam-4442	93	4	is	be	AUX
ejpam-4442	93	5	the	the	DET
ejpam-4442	93	6	strouhal	strouhal	NOUN
ejpam-4442	93	7	number	number	NOUN
ejpam-4442	93	8	.	.	PUNCT
ejpam-4442	94	1	•	•	NUM
ejpam-4442	94	2	b0	b0	NOUN
ejpam-4442	94	3	is	be	AUX
ejpam-4442	94	4	the	the	DET
ejpam-4442	94	5	magnetic	magnetic	ADJ
ejpam-4442	94	6	induction	induction	NOUN
ejpam-4442	94	7	.	.	PUNCT
ejpam-4442	95	1	physically	physically	ADV
ejpam-4442	95	2	,	,	PUNCT
ejpam-4442	95	3	re	re	VERB
ejpam-4442	95	4	must	must	AUX
ejpam-4442	95	5	be	be	AUX
ejpam-4442	95	6	small	small	ADJ
ejpam-4442	95	7	and	and	CCONJ
ejpam-4442	95	8	the	the	DET
ejpam-4442	95	9	strouhal	strouhal	NOUN
ejpam-4442	95	10	number	number	NOUN
ejpam-4442	95	11	,	,	PUNCT
ejpam-4442	95	12	st	st	PROPN
ejpam-4442	95	13	must	must	AUX
ejpam-4442	95	14	be	be	AUX
ejpam-4442	95	15	large	large	ADJ
ejpam-4442	95	16	or	or	CCONJ
ejpam-4442	95	17	u	u	NOUN
ejpam-4442	95	18	ϑa	ϑa	NOUN
ejpam-4442	95	19	<	<	X
ejpam-4442	95	20	<	<	X
ejpam-4442	95	21	1	1	NUM
ejpam-4442	95	22	implies	imply	VERB
ejpam-4442	95	23	that	that	SCONJ
ejpam-4442	95	24	the	the	DET
ejpam-4442	95	25	amplitude	amplitude	NOUN
ejpam-4442	95	26	of	of	ADP
ejpam-4442	95	27	the	the	DET
ejpam-4442	95	28	oscillation	oscillation	NOUN
ejpam-4442	95	29	is	be	AUX
ejpam-4442	95	30	small	small	ADJ
ejpam-4442	95	31	compared	compare	VERB
ejpam-4442	95	32	with	with	ADP
ejpam-4442	95	33	a.	a.	NOUN
ejpam-4442	95	34	since	since	SCONJ
ejpam-4442	95	35	the	the	DET
ejpam-4442	95	36	speed	speed	NOUN
ejpam-4442	95	37	ue⃗z	ue⃗z	NOUN
ejpam-4442	95	38	is	be	AUX
ejpam-4442	95	39	supposed	suppose	VERB
ejpam-4442	95	40	to	to	PART
ejpam-4442	95	41	be	be	AUX
ejpam-4442	95	42	small	small	ADJ
ejpam-4442	95	43	,	,	PUNCT
ejpam-4442	95	44	therefore	therefore	ADV
ejpam-4442	95	45	the	the	DET
ejpam-4442	95	46	assumption	assumption	NOUN
ejpam-4442	95	47	of	of	ADP
ejpam-4442	95	48	the	the	DET
ejpam-4442	95	49	stokesian	stokesian	ADJ
ejpam-4442	95	50	flow	flow	NOUN
ejpam-4442	95	51	may	may	AUX
ejpam-4442	95	52	be	be	AUX
ejpam-4442	95	53	used	use	VERB
ejpam-4442	95	54	(	(	PUNCT
ejpam-4442	95	55	a	a	X
ejpam-4442	95	56	)	)	PUNCT
ejpam-4442	95	57	the	the	DET
ejpam-4442	95	58	magnetic	magnetic	ADJ
ejpam-4442	95	59	reynolds	reynolds	PROPN
ejpam-4442	95	60	number	number	NOUN
ejpam-4442	95	61	is	be	AUX
ejpam-4442	95	62	small	small	ADJ
ejpam-4442	95	63	,	,	PUNCT
ejpam-4442	95	64	so	so	SCONJ
ejpam-4442	95	65	that	that	SCONJ
ejpam-4442	95	66	the	the	DET
ejpam-4442	95	67	induced	induce	VERB
ejpam-4442	95	68	magnetic	magnetic	ADJ
ejpam-4442	95	69	field	field	NOUN
ejpam-4442	95	70	is	be	AUX
ejpam-4442	95	71	negligible	negligible	ADJ
ejpam-4442	95	72	in	in	ADP
ejpam-4442	95	73	comparison	comparison	NOUN
ejpam-4442	95	74	with	with	ADP
ejpam-4442	95	75	the	the	DET
ejpam-4442	95	76	imposed	impose	VERB
ejpam-4442	95	77	magnetic	magnetic	ADJ
ejpam-4442	95	78	field	field	NOUN
ejpam-4442	95	79	and	and	CCONJ
ejpam-4442	95	80	(	(	PUNCT
ejpam-4442	95	81	b	b	X
ejpam-4442	95	82	)	)	PUNCT
ejpam-4442	95	83	the	the	DET
ejpam-4442	95	84	electric	electric	ADJ
ejpam-4442	95	85	field	field	NOUN
ejpam-4442	95	86	is	be	AUX
ejpam-4442	95	87	zero	zero	NUM
ejpam-4442	95	88	,	,	PUNCT
ejpam-4442	95	89	because	because	SCONJ
ejpam-4442	95	90	no	no	DET
ejpam-4442	95	91	applied	apply	VERB
ejpam-4442	95	92	or	or	CCONJ
ejpam-4442	95	93	polarization	polarization	NOUN
ejpam-4442	95	94	voltages	voltage	NOUN
ejpam-4442	95	95	exist	exist	VERB
ejpam-4442	95	96	(	(	PUNCT
ejpam-4442	95	97	mayer	mayer	PROPN
ejpam-4442	95	98	,	,	PUNCT
ejpam-4442	95	99	1958	1958	NUM
ejpam-4442	95	100	)	)	PUNCT
ejpam-4442	95	101	.	.	PUNCT
ejpam-4442	96	1	the	the	DET
ejpam-4442	96	2	problem	problem	NOUN
ejpam-4442	96	3	is	be	AUX
ejpam-4442	96	4	then	then	ADV
ejpam-4442	96	5	governed	govern	VERB
ejpam-4442	96	6	by	by	ADP
ejpam-4442	96	7	the	the	DET
ejpam-4442	96	8	following	follow	VERB
ejpam-4442	96	9	equations	equation	NOUN
ejpam-4442	96	10	:	:	PUNCT
ejpam-4442	96	11	∂p	∂p	PROPN
ejpam-4442	96	12	∂r	∂r	INTJ
ejpam-4442	96	13	−	−	PROPN
ejpam-4442	96	14	k2	k2	ADJ
ejpam-4442	96	15	r2	r2	PROPN
ejpam-4442	96	16	sin	sin	NOUN
ejpam-4442	96	17	θ	θ	PROPN
ejpam-4442	96	18	∂ψ	∂ψ	PUNCT
ejpam-4442	97	1	∂θ	∂θ	NOUN
ejpam-4442	98	1	+	+	CCONJ
ejpam-4442	98	2	1	1	NUM
ejpam-4442	98	3	r2	r2	NOUN
ejpam-4442	98	4	sin	sin	NOUN
ejpam-4442	98	5	θ	θ	PROPN
ejpam-4442	98	6	∂	∂	NUM
ejpam-4442	99	1	∂θ	∂θ	PROPN
ejpam-4442	99	2	(	(	PUNCT
ejpam-4442	99	3	e2ψ	e2ψ	PROPN
ejpam-4442	99	4	)	)	PUNCT
ejpam-4442	99	5	=	=	SYM
ejpam-4442	99	6	0	0	NUM
ejpam-4442	99	7	,	,	PUNCT
ejpam-4442	99	8	(	(	PUNCT
ejpam-4442	99	9	10	10	NUM
ejpam-4442	99	10	)	)	SYM
ejpam-4442	99	11	1	1	NUM
ejpam-4442	99	12	r	r	NOUN
ejpam-4442	99	13	∂p	∂p	PROPN
ejpam-4442	99	14	∂θ	∂θ	PROPN
ejpam-4442	100	1	+	+	CCONJ
ejpam-4442	100	2	k2	k2	ADJ
ejpam-4442	100	3	r	r	NOUN
ejpam-4442	100	4	sin	sin	NOUN
ejpam-4442	100	5	θ	θ	PROPN
ejpam-4442	100	6	∂ψ	∂ψ	PROPN
ejpam-4442	101	1	∂r	∂r	INTJ
ejpam-4442	101	2	−	−	NUM
ejpam-4442	101	3	1	1	NUM
ejpam-4442	101	4	r	r	NOUN
ejpam-4442	101	5	sin	sin	NOUN
ejpam-4442	101	6	θ	θ	PROPN
ejpam-4442	101	7	∂	∂	X
ejpam-4442	102	1	∂r	∂r	PROPN
ejpam-4442	102	2	(	(	PUNCT
ejpam-4442	102	3	e2ψ	e2ψ	PROPN
ejpam-4442	102	4	)	)	PUNCT
ejpam-4442	102	5	=	=	SYM
ejpam-4442	103	1	0	0	NUM
ejpam-4442	103	2	,	,	PUNCT
ejpam-4442	103	3	(	(	PUNCT
ejpam-4442	103	4	11	11	NUM
ejpam-4442	103	5	)	)	PUNCT
ejpam-4442	103	6	elimination	elimination	NOUN
ejpam-4442	103	7	the	the	DET
ejpam-4442	103	8	pressure	pressure	NOUN
ejpam-4442	103	9	from	from	ADP
ejpam-4442	103	10	equations	equation	NOUN
ejpam-4442	103	11	(	(	PUNCT
ejpam-4442	103	12	10	10	NUM
ejpam-4442	103	13	)	)	PUNCT
ejpam-4442	103	14	and	and	CCONJ
ejpam-4442	103	15	(	(	PUNCT
ejpam-4442	103	16	11	11	NUM
ejpam-4442	103	17	)	)	PUNCT
ejpam-4442	103	18	gives	give	VERB
ejpam-4442	103	19	a	a	DET
ejpam-4442	103	20	fourth	fourth	ADJ
ejpam-4442	103	21	-	-	PUNCT
ejpam-4442	103	22	order	order	NOUN
ejpam-4442	103	23	linear	linear	ADJ
ejpam-4442	103	24	partial	partial	ADJ
ejpam-4442	103	25	differential	differential	NOUN
ejpam-4442	103	26	equation	equation	NOUN
ejpam-4442	103	27	satisfied	satisfy	VERB
ejpam-4442	103	28	by	by	ADP
ejpam-4442	103	29	the	the	DET
ejpam-4442	103	30	stream	stream	NOUN
ejpam-4442	103	31	function	function	NOUN
ejpam-4442	103	32	:	:	PUNCT
ejpam-4442	103	33	e2(e2	e2(e2	NOUN
ejpam-4442	103	34	−	−	NOUN
ejpam-4442	103	35	k2)ψ	k2)ψ	NOUN
ejpam-4442	103	36	=	=	SYM
ejpam-4442	103	37	0	0	NUM
ejpam-4442	103	38	,	,	PUNCT
ejpam-4442	103	39	(	(	PUNCT
ejpam-4442	103	40	12	12	NUM
ejpam-4442	103	41	)	)	PUNCT
ejpam-4442	103	42	where	where	SCONJ
ejpam-4442	103	43	k	k	NOUN
ejpam-4442	103	44	=	=	PUNCT
ejpam-4442	103	45	√	√	PROPN
ejpam-4442	103	46	iχ2	iχ2	PROPN
ejpam-4442	103	47	+	+	CCONJ
ejpam-4442	103	48	α2	α2	ADJ
ejpam-4442	103	49	,	,	PUNCT
ejpam-4442	103	50	χ	χ	X
ejpam-4442	103	51	=	=	PUNCT
ejpam-4442	104	1	√	√	ADJ
ejpam-4442	104	2	ϑ2a2	ϑ2a2	NOUN
ejpam-4442	104	3	ν	ν	NOUN
ejpam-4442	104	4	,	,	PUNCT
ejpam-4442	104	5	α	α	PROPN
ejpam-4442	104	6	=	=	SYM
ejpam-4442	104	7	√	√	PROPN
ejpam-4442	104	8	a2σ0b2	a2σ0b2	PROPN
ejpam-4442	104	9	0	0	PUNCT
ejpam-4442	105	1	µc2	µc2	PROPN
ejpam-4442	105	2	are	be	AUX
ejpam-4442	105	3	the	the	DET
ejpam-4442	105	4	frequency	frequency	NOUN
ejpam-4442	105	5	parameter	parameter	NOUN
ejpam-4442	105	6	and	and	CCONJ
ejpam-4442	105	7	the	the	DET
ejpam-4442	105	8	magnetic	magnetic	ADJ
ejpam-4442	105	9	parameter	parameter	NOUN
ejpam-4442	105	10	while	while	SCONJ
ejpam-4442	105	11	the	the	DET
ejpam-4442	105	12	stokesian	stokesian	ADJ
ejpam-4442	105	13	operator	operator	NOUN
ejpam-4442	105	14	is	be	AUX
ejpam-4442	105	15	:	:	PUNCT
ejpam-4442	105	16	e2	e2	PROPN
ejpam-4442	105	17	=	=	SYM
ejpam-4442	105	18	∂2	∂2	PROPN
ejpam-4442	105	19	∂r2	∂r2	PROPN
ejpam-4442	105	20	+	+	CCONJ
ejpam-4442	105	21	1−ξ2	1−ξ2	NUM
ejpam-4442	105	22	r2	r2	PROPN
ejpam-4442	105	23	∂2	∂2	PROPN
ejpam-4442	105	24	∂ξ2	∂ξ2	PROPN
ejpam-4442	105	25	and	and	CCONJ
ejpam-4442	105	26	ξ	ξ	X
ejpam-4442	105	27	=	=	SYM
ejpam-4442	105	28	cos	cos	PROPN
ejpam-4442	105	29	θ	θ	PROPN
ejpam-4442	105	30	.	.	PROPN
ejpam-4442	105	31	3.1	3.1	NUM
ejpam-4442	105	32	.	.	PUNCT
ejpam-4442	106	1	boundary	boundary	ADJ
ejpam-4442	106	2	conditions	condition	NOUN
ejpam-4442	106	3	to	to	ADP
ejpam-4442	106	4	the	the	DET
ejpam-4442	106	5	problem	problem	NOUN
ejpam-4442	106	6	(	(	PUNCT
ejpam-4442	106	7	i	i	NOUN
ejpam-4442	106	8	)	)	PUNCT
ejpam-4442	106	9	the	the	DET
ejpam-4442	106	10	boundary	boundary	ADJ
ejpam-4442	106	11	condition	condition	NOUN
ejpam-4442	106	12	of	of	ADP
ejpam-4442	106	13	relative	relative	ADJ
ejpam-4442	106	14	normal	normal	ADJ
ejpam-4442	106	15	velocity	velocity	NOUN
ejpam-4442	106	16	at	at	ADP
ejpam-4442	106	17	r	r	NOUN
ejpam-4442	106	18	=	=	SYM
ejpam-4442	106	19	a	a	NOUN
ejpam-4442	106	20	:	:	PUNCT
ejpam-4442	106	21	uρ	uρ	ADP
ejpam-4442	106	22	=	=	SYM
ejpam-4442	106	23	β	β	X
ejpam-4442	106	24	trθ	trθ	X
ejpam-4442	106	25	cos	cos	PROPN
ejpam-4442	106	26	θ	θ	PROPN
ejpam-4442	106	27	,	,	PUNCT
ejpam-4442	106	28	(	(	PUNCT
ejpam-4442	106	29	13	13	NUM
ejpam-4442	106	30	)	)	PUNCT
ejpam-4442	106	31	(	(	PUNCT
ejpam-4442	106	32	ii	ii	NOUN
ejpam-4442	106	33	)	)	PUNCT
ejpam-4442	106	34	the	the	DET
ejpam-4442	106	35	dynamical	dynamical	ADJ
ejpam-4442	106	36	boundary	boundary	ADJ
ejpam-4442	106	37	condition	condition	NOUN
ejpam-4442	106	38	at	at	ADP
ejpam-4442	106	39	r	r	NOUN
ejpam-4442	106	40	=	=	SYM
ejpam-4442	106	41	a	a	DET
ejpam-4442	106	42	(	(	PUNCT
ejpam-4442	106	43	basset	basset	NOUN
ejpam-4442	106	44	,	,	PUNCT
ejpam-4442	106	45	1961	1961	NUM
ejpam-4442	106	46	happel	happel	NOUN
ejpam-4442	106	47	and	and	CCONJ
ejpam-4442	106	48	brenner	brenner	NOUN
ejpam-4442	106	49	,	,	PUNCT
ejpam-4442	106	50	1983	1983	NUM
ejpam-4442	106	51	,	,	PUNCT
ejpam-4442	106	52	sherief	sherief	NOUN
ejpam-4442	106	53	et	et	PROPN
ejpam-4442	106	54	al	al	PROPN
ejpam-4442	106	55	.	.	PROPN
ejpam-4442	106	56	,	,	PUNCT
ejpam-4442	106	57	2019	2019	NUM
ejpam-4442	106	58	):	):	PUNCT
ejpam-4442	106	59	uz	uz	PROPN
ejpam-4442	106	60	=	=	SYM
ejpam-4442	106	61	u	u	NOUN
ejpam-4442	106	62	−	−	PROPN
ejpam-4442	106	63	β	β	X
ejpam-4442	106	64	trθ	trθ	NOUN
ejpam-4442	106	65	sin	sin	NOUN
ejpam-4442	106	66	θ	θ	PROPN
ejpam-4442	106	67	,	,	PUNCT
ejpam-4442	106	68	(	(	PUNCT
ejpam-4442	106	69	14	14	NUM
ejpam-4442	106	70	)	)	PUNCT
ejpam-4442	106	71	(	(	PUNCT
ejpam-4442	106	72	iii	iii	X
ejpam-4442	106	73	)	)	PUNCT
ejpam-4442	106	74	the	the	DET
ejpam-4442	106	75	no	no	DET
ejpam-4442	106	76	-	-	PUNCT
ejpam-4442	106	77	slip	slip	NOUN
ejpam-4442	106	78	boundary	boundary	ADJ
ejpam-4442	106	79	conditions	condition	NOUN
ejpam-4442	106	80	along	along	ADP
ejpam-4442	106	81	the	the	DET
ejpam-4442	106	82	wall	wall	NOUN
ejpam-4442	106	83	z	z	PROPN
ejpam-4442	106	84	=	=	SYM
ejpam-4442	106	85	b	b	PROPN
ejpam-4442	106	86	are	be	AUX
ejpam-4442	106	87	given	give	VERB
ejpam-4442	106	88	by	by	ADP
ejpam-4442	106	89	:	:	PUNCT
ejpam-4442	106	90	uρ	uρ	ADP
ejpam-4442	106	91	=	=	SYM
ejpam-4442	106	92	0	0	NUM
ejpam-4442	106	93	,	,	PUNCT
ejpam-4442	106	94	uz	uz	X
ejpam-4442	106	95	=	=	SYM
ejpam-4442	106	96	0	0	PROPN
ejpam-4442	106	97	,	,	PUNCT
ejpam-4442	106	98	(	(	PUNCT
ejpam-4442	106	99	15	15	NUM
ejpam-4442	106	100	)	)	PUNCT
ejpam-4442	106	101	(	(	PUNCT
ejpam-4442	106	102	iv	iv	X
ejpam-4442	106	103	)	)	PUNCT
ejpam-4442	106	104	moreover	moreover	ADV
ejpam-4442	106	105	,	,	PUNCT
ejpam-4442	106	106	at	at	ADP
ejpam-4442	106	107	large	large	ADJ
ejpam-4442	106	108	distances	distance	NOUN
ejpam-4442	106	109	from	from	ADP
ejpam-4442	106	110	the	the	DET
ejpam-4442	106	111	spherical	spherical	ADJ
ejpam-4442	106	112	particles	particle	NOUN
ejpam-4442	106	113	r	r	NOUN
ejpam-4442	106	114	→	→	SYM
ejpam-4442	106	115	∞	∞	PROPN
ejpam-4442	106	116	,	,	PUNCT
ejpam-4442	106	117	the	the	DET
ejpam-4442	106	118	velocity	velocity	NOUN
ejpam-4442	106	119	components	component	NOUN
ejpam-4442	106	120	tend	tend	VERB
ejpam-4442	106	121	to	to	ADP
ejpam-4442	106	122	zero	zero	NUM
ejpam-4442	106	123	,	,	PUNCT
ejpam-4442	106	124	that	that	PRON
ejpam-4442	106	125	is	be	AUX
ejpam-4442	106	126	:	:	PUNCT
ejpam-4442	106	127	uρ	uρ	INTJ
ejpam-4442	106	128	→	→	SYM
ejpam-4442	106	129	0	0	NUM
ejpam-4442	106	130	,	,	PUNCT
ejpam-4442	106	131	uz	uz	X
ejpam-4442	106	132	→	→	SYM
ejpam-4442	106	133	0	0	NUM
ejpam-4442	106	134	=	=	SYM
ejpam-4442	106	135	0	0	NUM
ejpam-4442	106	136	,	,	PUNCT
ejpam-4442	106	137	(	(	PUNCT
ejpam-4442	106	138	16	16	NUM
ejpam-4442	106	139	)	)	PUNCT
ejpam-4442	106	140	shreen	shreen	PROPN
ejpam-4442	106	141	el	el	PROPN
ejpam-4442	106	142	-	-	PUNCT
ejpam-4442	106	143	sapa	sapa	PROPN
ejpam-4442	106	144	/	/	SYM
ejpam-4442	106	145	eur	eur	NOUN
ejpam-4442	106	146	.	.	PUNCT
ejpam-4442	107	1	j.	j.	PROPN
ejpam-4442	107	2	pure	pure	PROPN
ejpam-4442	107	3	appl	appl	PROPN
ejpam-4442	107	4	.	.	PROPN
ejpam-4442	107	5	math	math	PROPN
ejpam-4442	107	6	,	,	PUNCT
ejpam-4442	107	7	15	15	NUM
ejpam-4442	107	8	(	(	PUNCT
ejpam-4442	107	9	3	3	NUM
ejpam-4442	107	10	)	)	PUNCT
ejpam-4442	107	11	(	(	PUNCT
ejpam-4442	107	12	2022	2022	NUM
ejpam-4442	107	13	)	)	PUNCT
ejpam-4442	107	14	,	,	PUNCT
ejpam-4442	107	15	1376	1376	NUM
ejpam-4442	107	16	-	-	SYM
ejpam-4442	107	17	1401	1401	NUM
ejpam-4442	107	18	1382	1382	NUM
ejpam-4442	107	19	4	4	NUM
ejpam-4442	107	20	.	.	PUNCT
ejpam-4442	107	21	method	method	NOUN
ejpam-4442	107	22	of	of	ADP
ejpam-4442	107	23	solution	solution	NOUN
ejpam-4442	107	24	the	the	DET
ejpam-4442	107	25	solution	solution	NOUN
ejpam-4442	107	26	of	of	ADP
ejpam-4442	107	27	equation	equation	NOUN
ejpam-4442	107	28	(	(	PUNCT
ejpam-4442	107	29	12	12	NUM
ejpam-4442	107	30	)	)	PUNCT
ejpam-4442	107	31	can	can	AUX
ejpam-4442	107	32	be	be	AUX
ejpam-4442	107	33	expressed	express	VERB
ejpam-4442	107	34	in	in	ADP
ejpam-4442	107	35	the	the	DET
ejpam-4442	107	36	form	form	NOUN
ejpam-4442	107	37	:	:	PUNCT
ejpam-4442	107	38	ψ	ψ	NOUN
ejpam-4442	107	39	=	=	SYM
ejpam-4442	107	40	ψs	ψs	ADP
ejpam-4442	107	41	+	+	PROPN
ejpam-4442	107	42	ψw	ψw	NOUN
ejpam-4442	107	43	,	,	PUNCT
ejpam-4442	107	44	(	(	PUNCT
ejpam-4442	107	45	17	17	NUM
ejpam-4442	107	46	)	)	PUNCT
ejpam-4442	107	47	where	where	SCONJ
ejpam-4442	107	48	e2ψs	e2ψs	ADV
ejpam-4442	107	49	=	=	SYM
ejpam-4442	107	50	0	0	NUM
ejpam-4442	107	51	,	,	PUNCT
ejpam-4442	107	52	e2	e2	PROPN
ejpam-4442	107	53	(	(	PUNCT
ejpam-4442	107	54	e2	e2	PROPN
ejpam-4442	107	55	−	−	PROPN
ejpam-4442	107	56	k2	k2	PROPN
ejpam-4442	107	57	)	)	PUNCT
ejpam-4442	107	58	ψw	ψw	PART
ejpam-4442	107	59	=	=	SYM
ejpam-4442	107	60	0	0	NUM
ejpam-4442	107	61	,	,	PUNCT
ejpam-4442	107	62	(	(	PUNCT
ejpam-4442	107	63	18	18	NUM
ejpam-4442	107	64	)	)	PUNCT
ejpam-4442	107	65	where	where	SCONJ
ejpam-4442	107	66	the	the	DET
ejpam-4442	107	67	part	part	NOUN
ejpam-4442	107	68	ψs	ψs	ADP
ejpam-4442	107	69	represents	represent	VERB
ejpam-4442	107	70	the	the	DET
ejpam-4442	107	71	general	general	ADJ
ejpam-4442	107	72	solution	solution	NOUN
ejpam-4442	107	73	of	of	ADP
ejpam-4442	107	74	the	the	DET
ejpam-4442	107	75	stokes	stoke	NOUN
ejpam-4442	107	76	equation	equation	NOUN
ejpam-4442	107	77	in	in	ADP
ejpam-4442	107	78	the	the	DET
ejpam-4442	107	79	spherical	spherical	ADJ
ejpam-4442	107	80	coordinates	coordinate	NOUN
ejpam-4442	107	81	.	.	PUNCT
ejpam-4442	108	1	it	it	PRON
ejpam-4442	108	2	can	can	AUX
ejpam-4442	108	3	be	be	AUX
ejpam-4442	108	4	expressed	express	VERB
ejpam-4442	108	5	as	as	ADP
ejpam-4442	108	6	an	an	DET
ejpam-4442	108	7	infinite	infinite	ADJ
ejpam-4442	108	8	series	series	NOUN
ejpam-4442	108	9	containing	contain	VERB
ejpam-4442	108	10	all	all	DET
ejpam-4442	108	11	the	the	DET
ejpam-4442	108	12	simply	simply	ADV
ejpam-4442	108	13	separable	separable	ADJ
ejpam-4442	108	14	solutions	solution	NOUN
ejpam-4442	108	15	in	in	ADP
ejpam-4442	108	16	spherical	spherical	ADJ
ejpam-4442	108	17	coordinates	coordinate	NOUN
ejpam-4442	108	18	which	which	PRON
ejpam-4442	108	19	give	give	VERB
ejpam-4442	108	20	a	a	DET
ejpam-4442	108	21	vanishing	vanish	VERB
ejpam-4442	108	22	fluid	fluid	ADJ
ejpam-4442	108	23	velocity	velocity	NOUN
ejpam-4442	108	24	as	as	ADP
ejpam-4442	108	25	r	r	NOUN
ejpam-4442	108	26	→	→	SYM
ejpam-4442	108	27	∞	∞	NUM
ejpam-4442	108	28	by	by	ADP
ejpam-4442	108	29	happel	happel	PROPN
ejpam-4442	108	30	and	and	CCONJ
ejpam-4442	108	31	brenner	brenner	VERB
ejpam-4442	109	1	[	[	X
ejpam-4442	109	2	41	41	NUM
ejpam-4442	109	3	]	]	PUNCT
ejpam-4442	109	4	and	and	CCONJ
ejpam-4442	109	5	the	the	DET
ejpam-4442	109	6	regular	regular	ADJ
ejpam-4442	109	7	solution	solution	NOUN
ejpam-4442	109	8	of	of	ADP
ejpam-4442	109	9	part	part	NOUN
ejpam-4442	109	10	ψs	ψs	ADP
ejpam-4442	109	11	from	from	ADP
ejpam-4442	109	12	equation	equation	NOUN
ejpam-4442	109	13	(	(	PUNCT
ejpam-4442	109	14	18	18	NUM
ejpam-4442	109	15	)	)	PUNCT
ejpam-4442	109	16	is	be	AUX
ejpam-4442	109	17	given	give	VERB
ejpam-4442	109	18	as	as	ADP
ejpam-4442	109	19	:	:	PUNCT
ejpam-4442	109	20	ψs(r	ψs(r	NUM
ejpam-4442	109	21	,	,	PUNCT
ejpam-4442	109	22	θ	θ	X
ejpam-4442	109	23	)	)	PUNCT
ejpam-4442	109	24	=	=	SYM
ejpam-4442	110	1	∞∑	∞∑	NUM
ejpam-4442	110	2	n=2	n=2	ADV
ejpam-4442	110	3	(	(	PUNCT
ejpam-4442	110	4	anr	anr	PROPN
ejpam-4442	110	5	−n+1	−n+1	VERB
ejpam-4442	111	1	+	+	NOUN
ejpam-4442	111	2	bnr	bnr	PROPN
ejpam-4442	111	3	1	1	NUM
ejpam-4442	111	4	2kn−	2kn−	NUM
ejpam-4442	111	5	1	1	NUM
ejpam-4442	111	6	2	2	NUM
ejpam-4442	111	7	(	(	PUNCT
ejpam-4442	111	8	kr	kr	PROPN
ejpam-4442	111	9	)	)	PUNCT
ejpam-4442	111	10	)	)	PUNCT
ejpam-4442	111	11	ℑn(ξ	ℑn(ξ	PROPN
ejpam-4442	111	12	)	)	PUNCT
ejpam-4442	111	13	,	,	PUNCT
ejpam-4442	111	14	(	(	PUNCT
ejpam-4442	111	15	19	19	NUM
ejpam-4442	111	16	)	)	PUNCT
ejpam-4442	111	17	where	where	SCONJ
ejpam-4442	111	18	an	an	PRON
ejpam-4442	111	19	and	and	CCONJ
ejpam-4442	111	20	bn	bn	NOUN
ejpam-4442	111	21	are	be	AUX
ejpam-4442	111	22	the	the	DET
ejpam-4442	111	23	unknown	unknown	ADJ
ejpam-4442	111	24	constants	constant	NOUN
ejpam-4442	111	25	which	which	PRON
ejpam-4442	111	26	will	will	AUX
ejpam-4442	111	27	be	be	AUX
ejpam-4442	111	28	determined	determine	VERB
ejpam-4442	111	29	using	use	VERB
ejpam-4442	111	30	the	the	DET
ejpam-4442	111	31	boundary	boundary	ADJ
ejpam-4442	111	32	conditions	condition	NOUN
ejpam-4442	111	33	and	and	CCONJ
ejpam-4442	111	34	ℑn	ℑn	PROPN
ejpam-4442	111	35	(	(	PUNCT
ejpam-4442	111	36	.	.	PUNCT
ejpam-4442	111	37	)	)	PUNCT
ejpam-4442	111	38	is	be	AUX
ejpam-4442	111	39	the	the	DET
ejpam-4442	111	40	gegenbauer	gegenbauer	NOUN
ejpam-4442	111	41	function	function	NOUN
ejpam-4442	111	42	of	of	ADP
ejpam-4442	111	43	the	the	DET
ejpam-4442	111	44	first	first	ADJ
ejpam-4442	111	45	kind	kind	NOUN
ejpam-4442	111	46	of	of	ADP
ejpam-4442	111	47	order	order	NOUN
ejpam-4442	111	48	n	n	NOUN
ejpam-4442	111	49	and	and	CCONJ
ejpam-4442	111	50	degree	degree	NOUN
ejpam-4442	111	51	(	(	PUNCT
ejpam-4442	111	52	-½	-½	NUM
ejpam-4442	111	53	)	)	PUNCT
ejpam-4442	111	54	and	and	CCONJ
ejpam-4442	111	55	kn	kn	PROPN
ejpam-4442	111	56	(	(	PUNCT
ejpam-4442	111	57	.	.	PUNCT
ejpam-4442	111	58	)	)	PUNCT
ejpam-4442	111	59	is	be	AUX
ejpam-4442	111	60	the	the	DET
ejpam-4442	111	61	modified	modify	VERB
ejpam-4442	111	62	bessel	bessel	NOUN
ejpam-4442	111	63	function	function	NOUN
ejpam-4442	111	64	of	of	ADP
ejpam-4442	111	65	the	the	DET
ejpam-4442	111	66	second	second	ADJ
ejpam-4442	111	67	kind	kind	NOUN
ejpam-4442	111	68	of	of	ADP
ejpam-4442	111	69	order	order	NOUN
ejpam-4442	112	1	n.	n.	VERB
ejpam-4442	112	2	the	the	DET
ejpam-4442	112	3	part	part	NOUN
ejpam-4442	112	4	ψw	ψw	VERB
ejpam-4442	112	5	from	from	ADP
ejpam-4442	112	6	equation	equation	NOUN
ejpam-4442	112	7	(	(	PUNCT
ejpam-4442	112	8	18	18	NUM
ejpam-4442	112	9	)	)	PUNCT
ejpam-4442	112	10	represents	represent	VERB
ejpam-4442	112	11	the	the	DET
ejpam-4442	112	12	regular	regular	ADJ
ejpam-4442	112	13	solution	solution	NOUN
ejpam-4442	112	14	of	of	ADP
ejpam-4442	112	15	the	the	DET
ejpam-4442	112	16	stokes	stoke	NOUN
ejpam-4442	112	17	equation	equation	NOUN
ejpam-4442	112	18	in	in	ADP
ejpam-4442	112	19	the	the	DET
ejpam-4442	112	20	cylindrical	cylindrical	ADJ
ejpam-4442	112	21	coordinates	coordinate	NOUN
ejpam-4442	112	22	is	be	AUX
ejpam-4442	112	23	given	give	VERB
ejpam-4442	112	24	by	by	ADP
ejpam-4442	112	25	the	the	DET
ejpam-4442	112	26	fourier	fourier	ADJ
ejpam-4442	112	27	-	-	PUNCT
ejpam-4442	112	28	bessel	bessel	NOUN
ejpam-4442	112	29	integral	integral	ADJ
ejpam-4442	112	30	as	as	ADP
ejpam-4442	112	31	:	:	PUNCT
ejpam-4442	112	32	ψw(ρ	ψw(ρ	NUM
ejpam-4442	112	33	,	,	PUNCT
ejpam-4442	112	34	z	z	NOUN
ejpam-4442	112	35	)	)	PUNCT
ejpam-4442	112	36	=	=	SYM
ejpam-4442	113	1	∫	∫	PROPN
ejpam-4442	113	2	∞	∞	NUM
ejpam-4442	113	3	0	0	NUM
ejpam-4442	114	1	(	(	PUNCT
ejpam-4442	114	2	a(τ	a(τ	PROPN
ejpam-4442	114	3	)	)	PUNCT
ejpam-4442	114	4	e−τz	e−τz	NOUN
ejpam-4442	115	1	+	+	NOUN
ejpam-4442	115	2	b(τ	b(τ	PROPN
ejpam-4442	115	3	)	)	PUNCT
ejpam-4442	115	4	e−ξz	e−ξz	PROPN
ejpam-4442	115	5	)	)	PUNCT
ejpam-4442	116	1	ρj1(ρτ)dτ	ρj1(ρτ)dτ	PROPN
ejpam-4442	116	2	,	,	PUNCT
ejpam-4442	116	3	(	(	PUNCT
ejpam-4442	116	4	20	20	NUM
ejpam-4442	116	5	)	)	PUNCT
ejpam-4442	116	6	where	where	SCONJ
ejpam-4442	116	7	a(τ	a(τ	PROPN
ejpam-4442	116	8	)	)	PUNCT
ejpam-4442	116	9	and	and	CCONJ
ejpam-4442	116	10	b(τ	b(τ	PROPN
ejpam-4442	116	11	)	)	PUNCT
ejpam-4442	116	12	are	be	AUX
ejpam-4442	116	13	unknown	unknown	ADJ
ejpam-4442	116	14	functions	function	NOUN
ejpam-4442	116	15	of	of	ADP
ejpam-4442	116	16	the	the	DET
ejpam-4442	116	17	separation	separation	NOUN
ejpam-4442	116	18	variable	variable	NOUN
ejpam-4442	116	19	τ	τ	PROPN
ejpam-4442	116	20	and	and	CCONJ
ejpam-4442	116	21	j1(ρτ	j1(ρτ	PROPN
ejpam-4442	116	22	)	)	PUNCT
ejpam-4442	116	23	is	be	AUX
ejpam-4442	116	24	the	the	DET
ejpam-4442	116	25	bessel	bessel	ADJ
ejpam-4442	116	26	function	function	NOUN
ejpam-4442	116	27	of	of	ADP
ejpam-4442	116	28	the	the	DET
ejpam-4442	116	29	first	first	ADJ
ejpam-4442	116	30	kind	kind	NOUN
ejpam-4442	116	31	of	of	ADP
ejpam-4442	116	32	order	order	NOUN
ejpam-4442	116	33	unity	unity	NOUN
ejpam-4442	116	34	.	.	PUNCT
ejpam-4442	117	1	the	the	DET
ejpam-4442	117	2	general	general	ADJ
ejpam-4442	117	3	solution	solution	NOUN
ejpam-4442	117	4	is	be	AUX
ejpam-4442	117	5	:	:	PUNCT
ejpam-4442	117	6	ψ	ψ	X
ejpam-4442	117	7	=	=	SYM
ejpam-4442	117	8	∞∑	∞∑	PROPN
ejpam-4442	117	9	n=2	n=2	ADV
ejpam-4442	117	10	(	(	PUNCT
ejpam-4442	117	11	anr	anr	PROPN
ejpam-4442	117	12	−n+1	−n+1	VERB
ejpam-4442	118	1	+	+	NOUN
ejpam-4442	118	2	bnr	bnr	PROPN
ejpam-4442	118	3	1	1	NUM
ejpam-4442	118	4	2kn−	2kn−	NUM
ejpam-4442	118	5	1	1	NUM
ejpam-4442	118	6	2	2	NUM
ejpam-4442	118	7	(	(	PUNCT
ejpam-4442	118	8	kr	kr	PROPN
ejpam-4442	118	9	)	)	PUNCT
ejpam-4442	118	10	)	)	PUNCT
ejpam-4442	118	11	ℑn(ξ	ℑn(ξ	PROPN
ejpam-4442	118	12	)	)	PUNCT
ejpam-4442	118	13	+	+	CCONJ
ejpam-4442	118	14	∫	∫	PROPN
ejpam-4442	118	15	∞	∞	NUM
ejpam-4442	118	16	0	0	NUM
ejpam-4442	119	1	(	(	PUNCT
ejpam-4442	119	2	a(τ	a(τ	PROPN
ejpam-4442	119	3	)	)	PUNCT
ejpam-4442	119	4	e−τz	e−τz	NOUN
ejpam-4442	120	1	+	+	NOUN
ejpam-4442	120	2	b(τ	b(τ	PROPN
ejpam-4442	120	3	)	)	PUNCT
ejpam-4442	120	4	e−ξz	e−ξz	PROPN
ejpam-4442	120	5	)	)	PUNCT
ejpam-4442	121	1	ρj1(ρτ)dτ	ρj1(ρτ)dτ	PROPN
ejpam-4442	121	2	,	,	PUNCT
ejpam-4442	121	3	(	(	PUNCT
ejpam-4442	121	4	21	21	NUM
ejpam-4442	121	5	)	)	PUNCT
ejpam-4442	121	6	where	where	SCONJ
ejpam-4442	121	7	ξ	ξ	X
ejpam-4442	121	8	=	=	SYM
ejpam-4442	121	9	√	√	ADP
ejpam-4442	121	10	τ2	τ2	NOUN
ejpam-4442	121	11	+	+	CCONJ
ejpam-4442	121	12	k2	k2	ADJ
ejpam-4442	121	13	.	.	PUNCT
ejpam-4442	122	1	by	by	ADP
ejpam-4442	122	2	using	use	VERB
ejpam-4442	122	3	the	the	DET
ejpam-4442	122	4	equations	equation	NOUN
ejpam-4442	122	5	(	(	PUNCT
ejpam-4442	122	6	7	7	NUM
ejpam-4442	122	7	)	)	PUNCT
ejpam-4442	122	8	and	and	CCONJ
ejpam-4442	122	9	(	(	PUNCT
ejpam-4442	122	10	21	21	NUM
ejpam-4442	122	11	)	)	PUNCT
ejpam-4442	122	12	with	with	ADP
ejpam-4442	122	13	the	the	DET
ejpam-4442	122	14	properties	property	NOUN
ejpam-4442	122	15	of	of	ADP
ejpam-4442	122	16	gegenbauer	gegenbauer	NOUN
ejpam-4442	122	17	and	and	CCONJ
ejpam-4442	122	18	legendre	legendre	PROPN
ejpam-4442	122	19	functions	function	NOUN
ejpam-4442	122	20	and	and	CCONJ
ejpam-4442	122	21	the	the	DET
ejpam-4442	122	22	chain	chain	NOUN
ejpam-4442	122	23	rule	rule	NOUN
ejpam-4442	122	24	we	we	PRON
ejpam-4442	122	25	get	get	VERB
ejpam-4442	122	26	the	the	DET
ejpam-4442	122	27	radial	radial	ADJ
ejpam-4442	122	28	,	,	PUNCT
ejpam-4442	122	29	axial	axial	ADJ
ejpam-4442	122	30	velocity	velocity	NOUN
ejpam-4442	122	31	components	component	NOUN
ejpam-4442	122	32	and	and	CCONJ
ejpam-4442	122	33	stress	stress	NOUN
ejpam-4442	122	34	of	of	ADP
ejpam-4442	122	35	the	the	DET
ejpam-4442	122	36	flow	flow	NOUN
ejpam-4442	122	37	field	field	NOUN
ejpam-4442	122	38	in	in	ADP
ejpam-4442	122	39	cylindrical	cylindrical	ADJ
ejpam-4442	122	40	coordinates	coordinate	NOUN
ejpam-4442	122	41	are	be	AUX
ejpam-4442	122	42	obtained	obtain	VERB
ejpam-4442	122	43	:	:	PUNCT
ejpam-4442	122	44	a2uρ	a2uρ	X
ejpam-4442	122	45	=	=	SYM
ejpam-4442	122	46	∞∑	∞∑	NUM
ejpam-4442	122	47	n=2	n=2	PUNCT
ejpam-4442	122	48	(	(	PUNCT
ejpam-4442	122	49	ana1n(ρ	ana1n(ρ	PROPN
ejpam-4442	122	50	,	,	PUNCT
ejpam-4442	122	51	z	z	NOUN
ejpam-4442	122	52	)	)	PUNCT
ejpam-4442	123	1	+	+	NOUN
ejpam-4442	123	2	bnb1n(ρ	bnb1n(ρ	ADJ
ejpam-4442	123	3	,	,	PUNCT
ejpam-4442	123	4	z	z	NOUN
ejpam-4442	123	5	)	)	PUNCT
ejpam-4442	123	6	)	)	PUNCT
ejpam-4442	123	7	ℑn(ξ	ℑn(ξ	PROPN
ejpam-4442	123	8	)	)	PUNCT
ejpam-4442	123	9	+	+	CCONJ
ejpam-4442	123	10	∫	∫	PROPN
ejpam-4442	123	11	∞	∞	PROPN
ejpam-4442	123	12	0	0	PROPN
ejpam-4442	123	13	τl(τ	τl(τ	PUNCT
ejpam-4442	123	14	,	,	PUNCT
ejpam-4442	123	15	z)j1(ρτ)dτ	z)j1(ρτ)dτ	NOUN
ejpam-4442	123	16	,	,	PUNCT
ejpam-4442	123	17	(	(	PUNCT
ejpam-4442	123	18	22	22	NUM
ejpam-4442	123	19	)	)	PUNCT
ejpam-4442	123	20	a2uz	a2uz	PUNCT
ejpam-4442	124	1	=	=	PUNCT
ejpam-4442	124	2	∞∑	∞∑	NUM
ejpam-4442	124	3	n=2	n=2	ADV
ejpam-4442	124	4	(	(	PUNCT
ejpam-4442	124	5	ana2n(ρ	ana2n(ρ	PROPN
ejpam-4442	124	6	,	,	PUNCT
ejpam-4442	124	7	z	z	NOUN
ejpam-4442	124	8	)	)	PUNCT
ejpam-4442	124	9	+	+	ADJ
ejpam-4442	124	10	bnb2n(ρ	bnb2n(ρ	ADJ
ejpam-4442	124	11	,	,	PUNCT
ejpam-4442	124	12	z	z	NOUN
ejpam-4442	124	13	)	)	PUNCT
ejpam-4442	124	14	)	)	PUNCT
ejpam-4442	124	15	ℑn(ξ	ℑn(ξ	PROPN
ejpam-4442	124	16	)	)	PUNCT
ejpam-4442	124	17	+	+	CCONJ
ejpam-4442	124	18	∫	∫	PROPN
ejpam-4442	124	19	∞	∞	NUM
ejpam-4442	124	20	0	0	NUM
ejpam-4442	124	21	τm(τ	τm(τ	NUM
ejpam-4442	124	22	,	,	PUNCT
ejpam-4442	124	23	z)j1(ρτ)dτ	z)j1(ρτ)dτ	NOUN
ejpam-4442	124	24	,	,	PUNCT
ejpam-4442	124	25	(	(	PUNCT
ejpam-4442	124	26	23	23	NUM
ejpam-4442	124	27	)	)	PUNCT
ejpam-4442	124	28	atrθ	atrθ	NOUN
ejpam-4442	124	29	µ	µ	NOUN
ejpam-4442	124	30	=	=	SYM
ejpam-4442	124	31	∞∑	∞∑	PROPN
ejpam-4442	124	32	n=2	n=2	ADV
ejpam-4442	124	33	(	(	PUNCT
ejpam-4442	124	34	ana3n(ρ	ana3n(ρ	ADV
ejpam-4442	124	35	,	,	PUNCT
ejpam-4442	124	36	z	z	NOUN
ejpam-4442	124	37	)	)	PUNCT
ejpam-4442	124	38	+	+	CCONJ
ejpam-4442	124	39	bnb3n(ρ	bnb3n(ρ	ADJ
ejpam-4442	124	40	,	,	PUNCT
ejpam-4442	124	41	z	z	NOUN
ejpam-4442	124	42	)	)	PUNCT
ejpam-4442	124	43	)	)	PUNCT
ejpam-4442	124	44	ℑn(ξ	ℑn(ξ	PROPN
ejpam-4442	124	45	)	)	PUNCT
ejpam-4442	124	46	shreen	shreen	PROPN
ejpam-4442	124	47	el	el	PROPN
ejpam-4442	124	48	-	-	PUNCT
ejpam-4442	124	49	sapa	sapa	PROPN
ejpam-4442	124	50	/	/	SYM
ejpam-4442	124	51	eur	eur	NOUN
ejpam-4442	124	52	.	.	PUNCT
ejpam-4442	125	1	j.	j.	PROPN
ejpam-4442	125	2	pure	pure	PROPN
ejpam-4442	125	3	appl	appl	PROPN
ejpam-4442	125	4	.	.	PROPN
ejpam-4442	125	5	math	math	PROPN
ejpam-4442	125	6	,	,	PUNCT
ejpam-4442	125	7	15	15	NUM
ejpam-4442	125	8	(	(	PUNCT
ejpam-4442	125	9	3	3	NUM
ejpam-4442	125	10	)	)	PUNCT
ejpam-4442	125	11	(	(	PUNCT
ejpam-4442	125	12	2022	2022	NUM
ejpam-4442	125	13	)	)	PUNCT
ejpam-4442	125	14	,	,	PUNCT
ejpam-4442	125	15	1376	1376	NUM
ejpam-4442	125	16	-	-	SYM
ejpam-4442	125	17	1401	1401	NUM
ejpam-4442	125	18	1383	1383	NUM
ejpam-4442	125	19	+	+	CCONJ
ejpam-4442	125	20	∫	∫	PROPN
ejpam-4442	125	21	∞	∞	PROPN
ejpam-4442	125	22	0	0	NUM
ejpam-4442	126	1	τ	τ	PROPN
ejpam-4442	126	2	(	(	PUNCT
ejpam-4442	126	3	r(ρ	r(ρ	PROPN
ejpam-4442	126	4	,	,	PUNCT
ejpam-4442	126	5	z)j1(ρτ	z)j1(ρτ	NUM
ejpam-4442	126	6	)	)	PUNCT
ejpam-4442	126	7	+	+	CCONJ
ejpam-4442	126	8	s(ρ	s(ρ	PROPN
ejpam-4442	126	9	,	,	PUNCT
ejpam-4442	126	10	z)j0(ρτ	z)j0(ρτ	NOUN
ejpam-4442	126	11	)	)	PUNCT
ejpam-4442	126	12	)	)	PUNCT
ejpam-4442	126	13	dτ	dτ	NOUN
ejpam-4442	126	14	,	,	PUNCT
ejpam-4442	126	15	(	(	PUNCT
ejpam-4442	126	16	24	24	NUM
ejpam-4442	126	17	)	)	PUNCT
ejpam-4442	126	18	where	where	SCONJ
ejpam-4442	126	19	the	the	DET
ejpam-4442	126	20	definitions	definition	NOUN
ejpam-4442	126	21	of	of	ADP
ejpam-4442	126	22	the	the	DET
ejpam-4442	126	23	functions	function	NOUN
ejpam-4442	126	24	a1n	a1n	NOUN
ejpam-4442	126	25	,	,	PUNCT
ejpam-4442	126	26	b1n	b1n	PROPN
ejpam-4442	126	27	,	,	PUNCT
ejpam-4442	126	28	a2n	a2n	ADV
ejpam-4442	126	29	,	,	PUNCT
ejpam-4442	126	30	b2n	b2n	PROPN
ejpam-4442	126	31	,	,	PUNCT
ejpam-4442	126	32	a3n	a3n	PROPN
ejpam-4442	126	33	,	,	PUNCT
ejpam-4442	126	34	b3n	b3n	PROPN
ejpam-4442	126	35	and	and	CCONJ
ejpam-4442	126	36	also	also	ADV
ejpam-4442	126	37	r(ρ	r(ρ	PROPN
ejpam-4442	126	38	,	,	PUNCT
ejpam-4442	126	39	z	z	NOUN
ejpam-4442	126	40	)	)	PUNCT
ejpam-4442	126	41	and	and	CCONJ
ejpam-4442	126	42	s(ρ	s(ρ	PROPN
ejpam-4442	126	43	,	,	PUNCT
ejpam-4442	126	44	z	z	NOUN
ejpam-4442	126	45	)	)	PUNCT
ejpam-4442	126	46	are	be	AUX
ejpam-4442	126	47	listed	list	VERB
ejpam-4442	126	48	in	in	ADP
ejpam-4442	126	49	appendix	appendix	ADJ
ejpam-4442	126	50	a.	a.	NOUN
ejpam-4442	126	51	moreover	moreover	ADV
ejpam-4442	126	52	,	,	PUNCT
ejpam-4442	126	53	we	we	PRON
ejpam-4442	126	54	obtained	obtain	VERB
ejpam-4442	126	55	two	two	NUM
ejpam-4442	126	56	linear	linear	ADJ
ejpam-4442	126	57	algebraic	algebraic	ADJ
ejpam-4442	126	58	equations	equation	NOUN
ejpam-4442	126	59	which	which	PRON
ejpam-4442	126	60	can	can	AUX
ejpam-4442	126	61	be	be	AUX
ejpam-4442	126	62	solved	solve	VERB
ejpam-4442	126	63	simultaneously	simultaneously	ADV
ejpam-4442	126	64	to	to	PART
ejpam-4442	126	65	give	give	VERB
ejpam-4442	126	66	the	the	DET
ejpam-4442	126	67	unknown	unknown	ADJ
ejpam-4442	126	68	functions	function	NOUN
ejpam-4442	126	69	a(τ	a(τ	PROPN
ejpam-4442	126	70	)	)	PUNCT
ejpam-4442	126	71	and	and	CCONJ
ejpam-4442	126	72	b(τ	b(τ	NOUN
ejpam-4442	126	73	)	)	PUNCT
ejpam-4442	126	74	as	as	SCONJ
ejpam-4442	126	75	follows	follow	VERB
ejpam-4442	126	76	:	:	PUNCT
ejpam-4442	126	77	a(τ	a(τ	X
ejpam-4442	126	78	)	)	PUNCT
ejpam-4442	126	79	=	=	PUNCT
ejpam-4442	126	80	−e−τb(τ	−e−τb(τ	X
ejpam-4442	126	81	−	−	PROPN
ejpam-4442	126	82	ξ)−1	ξ)−1	NOUN
ejpam-4442	126	83	(	(	PUNCT
ejpam-4442	126	84	τl(τ,−b)−	τl(τ,−b)−	PROPN
ejpam-4442	126	85	ξm(τ,−b	ξm(τ,−b	NOUN
ejpam-4442	126	86	)	)	PUNCT
ejpam-4442	126	87	)	)	PUNCT
ejpam-4442	126	88	,	,	PUNCT
ejpam-4442	126	89	(	(	PUNCT
ejpam-4442	126	90	25	25	NUM
ejpam-4442	126	91	)	)	PUNCT
ejpam-4442	126	92	b(τ	b(τ	NOUN
ejpam-4442	126	93	)	)	PUNCT
ejpam-4442	126	94	=	=	SYM
ejpam-4442	126	95	−τe−τb(τ	−τe−τb(τ	PROPN
ejpam-4442	126	96	−	−	NOUN
ejpam-4442	126	97	ξ)−1	ξ)−1	NOUN
ejpam-4442	126	98	(	(	PUNCT
ejpam-4442	126	99	m(τ,−b)−	m(τ,−b)−	NOUN
ejpam-4442	126	100	l(τ,−b	l(τ,−b	PROPN
ejpam-4442	126	101	)	)	PUNCT
ejpam-4442	126	102	)	)	PUNCT
ejpam-4442	126	103	,	,	PUNCT
ejpam-4442	126	104	(	(	PUNCT
ejpam-4442	126	105	26	26	NUM
ejpam-4442	126	106	)	)	PUNCT
ejpam-4442	126	107	applying	apply	VERB
ejpam-4442	126	108	the	the	DET
ejpam-4442	126	109	boundary	boundary	ADJ
ejpam-4442	126	110	conditions	condition	NOUN
ejpam-4442	126	111	from	from	ADP
ejpam-4442	126	112	equations	equation	NOUN
ejpam-4442	126	113	(	(	PUNCT
ejpam-4442	126	114	15	15	NUM
ejpam-4442	126	115	)	)	PUNCT
ejpam-4442	126	116	and	and	CCONJ
ejpam-4442	126	117	(	(	PUNCT
ejpam-4442	126	118	16	16	NUM
ejpam-4442	126	119	)	)	PUNCT
ejpam-4442	126	120	on	on	ADP
ejpam-4442	126	121	the	the	DET
ejpam-4442	126	122	wall	wall	NOUN
ejpam-4442	126	123	z	z	PROPN
ejpam-4442	126	124	=	=	PUNCT
ejpam-4442	126	125	−b:∫	−b:∫	X
ejpam-4442	126	126	∞	∞	NOUN
ejpam-4442	126	127	0	0	NUM
ejpam-4442	127	1	τl(τ,−b)j1(ρτ)dτ	τl(τ,−b)j1(ρτ)dτ	NOUN
ejpam-4442	127	2	=	=	PUNCT
ejpam-4442	128	1	−	−	PROPN
ejpam-4442	128	2	∞∑	∞∑	NUM
ejpam-4442	128	3	n=2	n=2	ADV
ejpam-4442	128	4	(	(	PUNCT
ejpam-4442	128	5	ana1n	ana1n	ADV
ejpam-4442	128	6	+	+	NOUN
ejpam-4442	128	7	bnb1n	bnb1n	PROPN
ejpam-4442	128	8	)	)	PUNCT
ejpam-4442	128	9	,	,	PUNCT
ejpam-4442	128	10	∫	∫	PROPN
ejpam-4442	128	11	∞	∞	PROPN
ejpam-4442	128	12	0	0	NUM
ejpam-4442	129	1	τm(τ,−b)j1(ρτ)dτ	τm(τ,−b)j1(ρτ)dτ	PROPN
ejpam-4442	129	2	=	=	PUNCT
ejpam-4442	130	1	−	−	PROPN
ejpam-4442	130	2	∞∑	∞∑	NUM
ejpam-4442	130	3	n=2	n=2	PRON
ejpam-4442	130	4	(	(	PUNCT
ejpam-4442	130	5	ana2n	ana2n	PUNCT
ejpam-4442	131	1	+	+	NOUN
ejpam-4442	131	2	bnb2n	bnb2n	X
ejpam-4442	131	3	)	)	PUNCT
ejpam-4442	131	4	.	.	PUNCT
ejpam-4442	132	1			ADJ
ejpam-4442	132	2	(	(	PUNCT
ejpam-4442	132	3	27	27	NUM
ejpam-4442	132	4	)	)	PUNCT
ejpam-4442	132	5	the	the	DET
ejpam-4442	132	6	expressions	expression	NOUN
ejpam-4442	132	7	(	(	PUNCT
ejpam-4442	132	8	27	27	NUM
ejpam-4442	132	9	)	)	PUNCT
ejpam-4442	132	10	can	can	AUX
ejpam-4442	132	11	be	be	AUX
ejpam-4442	132	12	easily	easily	ADV
ejpam-4442	132	13	inverted	invert	VERB
ejpam-4442	132	14	and	and	CCONJ
ejpam-4442	132	15	integration	integration	NOUN
ejpam-4442	132	16	can	can	AUX
ejpam-4442	132	17	be	be	AUX
ejpam-4442	132	18	performed	perform	VERB
ejpam-4442	132	19	using	use	VERB
ejpam-4442	132	20	results	result	NOUN
ejpam-4442	132	21	of	of	ADP
ejpam-4442	132	22	hankel	hankel	NOUN
ejpam-4442	132	23	transforms	transform	VERB
ejpam-4442	132	24	:	:	PUNCT
ejpam-4442	132	25	l(τ,−b	l(τ,−b	NUM
ejpam-4442	132	26	)	)	PUNCT
ejpam-4442	132	27	=	=	PUNCT
ejpam-4442	133	1	−	−	PROPN
ejpam-4442	133	2	∫	∫	PROPN
ejpam-4442	133	3	∞	∞	NUM
ejpam-4442	133	4	0	0	PROPN
ejpam-4442	133	5	t	t	PROPN
ejpam-4442	133	6	∞∑	∞∑	NUM
ejpam-4442	133	7	n=2	n=2	PRON
ejpam-4442	133	8	(	(	PUNCT
ejpam-4442	133	9	ana1n	ana1n	ADV
ejpam-4442	133	10	+	+	NOUN
ejpam-4442	133	11	bnb1n	bnb1n	X
ejpam-4442	133	12	)	)	PUNCT
ejpam-4442	134	1	j1(tτ	j1(tτ	NUM
ejpam-4442	134	2	)	)	PUNCT
ejpam-4442	134	3	dt	dt	X
ejpam-4442	134	4	,	,	PUNCT
ejpam-4442	134	5	(	(	PUNCT
ejpam-4442	134	6	28	28	NUM
ejpam-4442	134	7	)	)	PUNCT
ejpam-4442	134	8	m(τ,−b	m(τ,−b	NUM
ejpam-4442	134	9	)	)	PUNCT
ejpam-4442	134	10	=	=	PUNCT
ejpam-4442	135	1	−	−	PROPN
ejpam-4442	135	2	∫	∫	PROPN
ejpam-4442	135	3	∞	∞	NUM
ejpam-4442	135	4	0	0	PROPN
ejpam-4442	136	1	t	t	PROPN
ejpam-4442	136	2	∞∑	∞∑	NUM
ejpam-4442	136	3	n=2	n=2	PRON
ejpam-4442	136	4	(	(	PUNCT
ejpam-4442	136	5	ana2n	ana2n	PUNCT
ejpam-4442	136	6	+	+	NOUN
ejpam-4442	136	7	bnb2n	bnb2n	X
ejpam-4442	136	8	)	)	PUNCT
ejpam-4442	136	9	j1(tτ	j1(tτ	NUM
ejpam-4442	136	10	)	)	PUNCT
ejpam-4442	136	11	dt	dt	PROPN
ejpam-4442	136	12	.	.	PUNCT
ejpam-4442	137	1	(	(	PUNCT
ejpam-4442	137	2	29	29	NUM
ejpam-4442	137	3	)	)	PUNCT
ejpam-4442	137	4	the	the	DET
ejpam-4442	137	5	expressions	expression	NOUN
ejpam-4442	137	6	can	can	AUX
ejpam-4442	137	7	be	be	AUX
ejpam-4442	137	8	now	now	ADV
ejpam-4442	137	9	rewritten	rewrite	VERB
ejpam-4442	137	10	as	as	ADP
ejpam-4442	137	11	:	:	PUNCT
ejpam-4442	137	12	a(τ	a(τ	PROPN
ejpam-4442	137	13	)	)	PUNCT
ejpam-4442	137	14	=	=	PUNCT
ejpam-4442	137	15	−e−τb(τ	−e−τb(τ	X
ejpam-4442	137	16	−	−	PROPN
ejpam-4442	137	17	ξ)−1	ξ)−1	NOUN
ejpam-4442	137	18	∞∑	∞∑	NOUN
ejpam-4442	137	19	n=2	n=2	PRON
ejpam-4442	137	20	[	[	X
ejpam-4442	137	21	(	(	PUNCT
ejpam-4442	137	22	τe1n(τ,−b)−	τe1n(τ,−b)−	NOUN
ejpam-4442	137	23	ξe2n(τ,−b	ξe2n(τ,−b	NOUN
ejpam-4442	137	24	)	)	PUNCT
ejpam-4442	137	25	)	)	PUNCT
ejpam-4442	138	1	an	an	DET
ejpam-4442	138	2	+	+	X
ejpam-4442	138	3	(	(	PUNCT
ejpam-4442	138	4	τf1n(τ,−b)−	τf1n(τ,−b)−	NOUN
ejpam-4442	138	5	ξf2n(τ,−b	ξf2n(τ,−b	NOUN
ejpam-4442	138	6	)	)	PUNCT
ejpam-4442	138	7	)	)	PUNCT
ejpam-4442	139	1	bn	bn	ADP
ejpam-4442	139	2	]	]	PUNCT
ejpam-4442	139	3	,	,	PUNCT
ejpam-4442	139	4	(	(	PUNCT
ejpam-4442	139	5	30	30	NUM
ejpam-4442	139	6	)	)	PUNCT
ejpam-4442	139	7	b(τ	b(τ	NOUN
ejpam-4442	139	8	)	)	PUNCT
ejpam-4442	139	9	=	=	PUNCT
ejpam-4442	140	1	τe−ξb(τ	τe−ξb(τ	NUM
ejpam-4442	140	2	−	−	NUM
ejpam-4442	140	3	ξ)−1	ξ)−1	NOUN
ejpam-4442	140	4	∞∑	∞∑	NOUN
ejpam-4442	140	5	n=2	n=2	PRON
ejpam-4442	140	6	[	[	X
ejpam-4442	140	7	(	(	PUNCT
ejpam-4442	140	8	e1n(τ,−b)−	e1n(τ,−b)−	X
ejpam-4442	140	9	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	140	10	)	)	PUNCT
ejpam-4442	140	11	)	)	PUNCT
ejpam-4442	141	1	an	an	PRON
ejpam-4442	141	2	+	+	X
ejpam-4442	141	3	(	(	PUNCT
ejpam-4442	141	4	f1n(τ,−b)−	f1n(τ,−b)−	NOUN
ejpam-4442	141	5	f2n(τ,−b	f2n(τ,−b	NOUN
ejpam-4442	141	6	)	)	PUNCT
ejpam-4442	141	7	)	)	PUNCT
ejpam-4442	142	1	bn	bn	ADP
ejpam-4442	142	2	]	]	PUNCT
ejpam-4442	142	3	.	.	PUNCT
ejpam-4442	143	1	(	(	PUNCT
ejpam-4442	143	2	31	31	NUM
ejpam-4442	143	3	)	)	PUNCT
ejpam-4442	143	4	the	the	DET
ejpam-4442	143	5	integrals	integral	NOUN
ejpam-4442	143	6	required	require	VERB
ejpam-4442	143	7	in	in	ADP
ejpam-4442	143	8	equations	equation	NOUN
ejpam-4442	143	9	(	(	PUNCT
ejpam-4442	143	10	30	30	NUM
ejpam-4442	143	11	)	)	PUNCT
ejpam-4442	143	12	and	and	CCONJ
ejpam-4442	143	13	(	(	PUNCT
ejpam-4442	143	14	31	31	NUM
ejpam-4442	143	15	)	)	PUNCT
ejpam-4442	143	16	are	be	AUX
ejpam-4442	143	17	performed	perform	VERB
ejpam-4442	143	18	analytically	analytically	ADV
ejpam-4442	143	19	as	as	SCONJ
ejpam-4442	143	20	follows	follow	VERB
ejpam-4442	143	21	,	,	PUNCT
ejpam-4442	143	22	using	use	VERB
ejpam-4442	143	23	the	the	DET
ejpam-4442	143	24	polynomial	polynomial	ADJ
ejpam-4442	143	25	representations	representation	NOUN
ejpam-4442	143	26	of	of	ADP
ejpam-4442	143	27	the	the	DET
ejpam-4442	143	28	gegenbauer	gegenbauer	NOUN
ejpam-4442	143	29	and	and	CCONJ
ejpam-4442	143	30	legendre	legendre	PROPN
ejpam-4442	143	31	functions	function	NOUN
ejpam-4442	143	32	together	together	ADV
ejpam-4442	143	33	with	with	ADP
ejpam-4442	143	34	the	the	DET
ejpam-4442	143	35	result	result	NOUN
ejpam-4442	143	36	given	give	VERB
ejpam-4442	143	37	by	by	ADP
ejpam-4442	143	38	erdelyi	erdelyi	NOUN
ejpam-4442	143	39	et	et	PROPN
ejpam-4442	143	40	al	al	PROPN
ejpam-4442	143	41	.	.	PUNCT
ejpam-4442	144	1	[	[	X
ejpam-4442	144	2	42	42	NUM
ejpam-4442	144	3	]	]	PUNCT
ejpam-4442	144	4	:	:	PUNCT
ejpam-4442	144	5	∫	∫	PROPN
ejpam-4442	144	6	∞	∞	PROPN
ejpam-4442	144	7	0	0	NUM
ejpam-4442	144	8	xν+	xν+	ADJ
ejpam-4442	144	9	1	1	NUM
ejpam-4442	144	10	2	2	NUM
ejpam-4442	144	11	(	(	PUNCT
ejpam-4442	144	12	x2	x2	PROPN
ejpam-4442	144	13	+	+	PROPN
ejpam-4442	144	14	a2)µ+1	a2)µ+1	PROPN
ejpam-4442	144	15	jν(xy)(xy	jν(xy)(xy	PROPN
ejpam-4442	144	16	)	)	PUNCT
ejpam-4442	144	17	1	1	NUM
ejpam-4442	144	18	2dx	2dx	NUM
ejpam-4442	144	19	=	=	PUNCT
ejpam-4442	144	20	aν−µyµ+	aν−µyµ+	VERB
ejpam-4442	144	21	1	1	NUM
ejpam-4442	144	22	2	2	NUM
ejpam-4442	144	23	2µγ(µ+	2µγ(µ+	NUM
ejpam-4442	144	24	1	1	NUM
ejpam-4442	144	25	)	)	PUNCT
ejpam-4442	144	26	kν−µ(ay	kν−µ(ay	NOUN
ejpam-4442	144	27	)	)	PUNCT
ejpam-4442	144	28	,	,	PUNCT
ejpam-4442	144	29	shreen	shreen	PROPN
ejpam-4442	144	30	el	el	PROPN
ejpam-4442	144	31	-	-	PUNCT
ejpam-4442	144	32	sapa	sapa	PROPN
ejpam-4442	144	33	/	/	SYM
ejpam-4442	144	34	eur	eur	NOUN
ejpam-4442	144	35	.	.	PUNCT
ejpam-4442	145	1	j.	j.	PROPN
ejpam-4442	145	2	pure	pure	PROPN
ejpam-4442	145	3	appl	appl	PROPN
ejpam-4442	145	4	.	.	PROPN
ejpam-4442	145	5	math	math	PROPN
ejpam-4442	145	6	,	,	PUNCT
ejpam-4442	145	7	15	15	NUM
ejpam-4442	145	8	(	(	PUNCT
ejpam-4442	145	9	3	3	NUM
ejpam-4442	145	10	)	)	PUNCT
ejpam-4442	145	11	(	(	PUNCT
ejpam-4442	145	12	2022	2022	NUM
ejpam-4442	145	13	)	)	PUNCT
ejpam-4442	145	14	,	,	PUNCT
ejpam-4442	145	15	1376	1376	NUM
ejpam-4442	145	16	-	-	SYM
ejpam-4442	145	17	1401	1401	NUM
ejpam-4442	145	18	1384	1384	NUM
ejpam-4442	145	19	ℜ{a	ℜ{a	ADP
ejpam-4442	145	20	}	}	PUNCT
ejpam-4442	145	21	>	>	X
ejpam-4442	145	22	0	0	PROPN
ejpam-4442	145	23	,	,	PUNCT
ejpam-4442	145	24	y	y	PROPN
ejpam-4442	145	25	>	>	X
ejpam-4442	145	26	0	0	PROPN
ejpam-4442	145	27	,	,	PUNCT
ejpam-4442	145	28	−	−	PROPN
ejpam-4442	145	29	1	1	NUM
ejpam-4442	145	30	<	<	X
ejpam-4442	145	31	ℜ{ν	ℜ{ν	NOUN
ejpam-4442	145	32	}	}	PUNCT
ejpam-4442	145	33	<	<	X
ejpam-4442	145	34	2ℜ{µ}+	2ℜ{µ}+	NUM
ejpam-4442	145	35	1	1	NUM
ejpam-4442	145	36	(	(	PUNCT
ejpam-4442	145	37	32	32	NUM
ejpam-4442	145	38	)	)	PUNCT
ejpam-4442	145	39	∫	∫	PROPN
ejpam-4442	146	1	∞	∞	PROPN
ejpam-4442	146	2	0	0	NUM
ejpam-4442	146	3	xν+	xν+	PROPN
ejpam-4442	146	4	1	1	NUM
ejpam-4442	146	5	2kµ(a(x	2kµ(a(x	NUM
ejpam-4442	146	6	2	2	NUM
ejpam-4442	146	7	+	+	CCONJ
ejpam-4442	146	8	y2	y2	VERB
ejpam-4442	146	9	)	)	PUNCT
ejpam-4442	146	10	1	1	NUM
ejpam-4442	146	11	2	2	NUM
ejpam-4442	146	12	)	)	PUNCT
ejpam-4442	146	13	(	(	PUNCT
ejpam-4442	147	1	x2	x2	PROPN
ejpam-4442	147	2	+	+	CCONJ
ejpam-4442	147	3	β2	β2	ADJ
ejpam-4442	147	4	)	)	PUNCT
ejpam-4442	147	5	µ	µ	PRON
ejpam-4442	147	6	2	2	NUM
ejpam-4442	147	7	jν(xy)(xy	jν(xy)(xy	NOUN
ejpam-4442	147	8	)	)	PUNCT
ejpam-4442	147	9	1	1	NUM
ejpam-4442	147	10	2dx	2dx	NUM
ejpam-4442	147	11	=	=	PUNCT
ejpam-4442	148	1	βν−µ+1yµ+	βν−µ+1yµ+	PROPN
ejpam-4442	148	2	1	1	NUM
ejpam-4442	148	3	2	2	NUM
ejpam-4442	148	4	aµ	aµ	PROPN
ejpam-4442	148	5	(	(	PUNCT
ejpam-4442	148	6	y2	y2	PROPN
ejpam-4442	148	7	+	+	CCONJ
ejpam-4442	148	8	a2)µ−ν−1	a2)µ−ν−1	CCONJ
ejpam-4442	148	9	×	×	NOUN
ejpam-4442	148	10	kµ−ν−1(β(y	kµ−ν−1(β(y	NUM
ejpam-4442	148	11	2	2	NUM
ejpam-4442	148	12	+	+	SYM
ejpam-4442	148	13	a2	a2	NOUN
ejpam-4442	148	14	)	)	PUNCT
ejpam-4442	148	15	1	1	NUM
ejpam-4442	148	16	2	2	NUM
ejpam-4442	148	17	)	)	PUNCT
ejpam-4442	148	18	,	,	PUNCT
ejpam-4442	148	19	ℜ{a	ℜ{a	ADP
ejpam-4442	148	20	}	}	PUNCT
ejpam-4442	148	21	>	>	X
ejpam-4442	148	22	0	0	NUM
ejpam-4442	148	23	,	,	PUNCT
ejpam-4442	148	24	ℜ{β	ℜ{β	PROPN
ejpam-4442	148	25	}	}	PUNCT
ejpam-4442	148	26	>	>	X
ejpam-4442	148	27	0	0	NUM
ejpam-4442	148	28	,	,	PUNCT
ejpam-4442	148	29	(	(	PUNCT
ejpam-4442	148	30	33	33	NUM
ejpam-4442	148	31	)	)	PUNCT
ejpam-4442	148	32	where	where	SCONJ
ejpam-4442	148	33	kν	kν	PROPN
ejpam-4442	148	34	,	,	PUNCT
ejpam-4442	148	35	is	be	AUX
ejpam-4442	148	36	the	the	DET
ejpam-4442	148	37	modified	modify	VERB
ejpam-4442	148	38	bessel	bessel	NOUN
ejpam-4442	148	39	function	function	NOUN
ejpam-4442	148	40	of	of	ADP
ejpam-4442	148	41	the	the	DET
ejpam-4442	148	42	second	second	ADJ
ejpam-4442	148	43	kind	kind	NOUN
ejpam-4442	148	44	,	,	PUNCT
ejpam-4442	148	45	one	one	PRON
ejpam-4442	148	46	can	can	AUX
ejpam-4442	148	47	show	show	VERB
ejpam-4442	148	48	by	by	ADP
ejpam-4442	148	49	induction	induction	NOUN
ejpam-4442	148	50	that	that	SCONJ
ejpam-4442	148	51	:	:	PUNCT
ejpam-4442	148	52	∫	∫	PROPN
ejpam-4442	149	1	∞	∞	NUM
ejpam-4442	149	2	0	0	NUM
ejpam-4442	149	3	1	1	NUM
ejpam-4442	149	4	(	(	PUNCT
ejpam-4442	149	5	t2	t2	NOUN
ejpam-4442	149	6	+	+	CCONJ
ejpam-4442	149	7	b2	b2	NOUN
ejpam-4442	149	8	)	)	PUNCT
ejpam-4442	149	9	n	n	PRON
ejpam-4442	149	10	2	2	NUM
ejpam-4442	149	11	ℑn+1	ℑn+1	NOUN
ejpam-4442	149	12	(	(	PUNCT
ejpam-4442	149	13	−b	−b	NOUN
ejpam-4442	149	14	(	(	PUNCT
ejpam-4442	149	15	t2	t2	PROPN
ejpam-4442	149	16	+	+	CCONJ
ejpam-4442	149	17	b2	b2	NOUN
ejpam-4442	149	18	)	)	PUNCT
ejpam-4442	149	19	1	1	NUM
ejpam-4442	149	20	2	2	NUM
ejpam-4442	149	21	)	)	PUNCT
ejpam-4442	149	22	j1(tτ)dt	j1(tτ)dt	NOUN
ejpam-4442	149	23	=	=	SYM
ejpam-4442	149	24	(	(	PUNCT
ejpam-4442	149	25	−1)n−1τn−1	−1)n−1τn−1	PROPN
ejpam-4442	149	26	(	(	PUNCT
ejpam-4442	149	27	n+	n+	NOUN
ejpam-4442	149	28	1	1	NUM
ejpam-4442	149	29	)	)	PUNCT
ejpam-4442	149	30	!	!	PUNCT
ejpam-4442	150	1	e−αb	e−αb	NOUN
ejpam-4442	150	2	(	(	PUNCT
ejpam-4442	150	3	34	34	NUM
ejpam-4442	150	4	)	)	PUNCT
ejpam-4442	150	5	∫	∫	PROPN
ejpam-4442	150	6	∞	∞	PROPN
ejpam-4442	150	7	0	0	NUM
ejpam-4442	151	1	(	(	PUNCT
ejpam-4442	151	2	t2	t2	NOUN
ejpam-4442	151	3	+	+	CCONJ
ejpam-4442	151	4	b2	b2	NOUN
ejpam-4442	151	5	)	)	PUNCT
ejpam-4442	151	6	−1	−1	NOUN
ejpam-4442	151	7	4	4	NUM
ejpam-4442	151	8	(	(	PUNCT
ejpam-4442	151	9	−	−	PUNCT
ejpam-4442	151	10	αbkn−	αbkn−	NOUN
ejpam-4442	151	11	3	3	NUM
ejpam-4442	151	12	2	2	NUM
ejpam-4442	151	13	(	(	PUNCT
ejpam-4442	151	14	α	α	NOUN
ejpam-4442	151	15	√	√	ADJ
ejpam-4442	151	16	ρ2	ρ2	PROPN
ejpam-4442	151	17	+	+	CCONJ
ejpam-4442	151	18	b2)ℑn(−b/	b2)ℑn(−b/	PROPN
ejpam-4442	151	19	√	√	ADJ
ejpam-4442	151	20	ρ2	ρ2	PROPN
ejpam-4442	151	21	+	+	CCONJ
ejpam-4442	151	22	b2)×	b2)×	X
ejpam-4442	152	1	+	+	ADJ
ejpam-4442	152	2	(	(	PUNCT
ejpam-4442	152	3	n+	n+	NUM
ejpam-4442	152	4	1)kn−	1)kn−	NUM
ejpam-4442	152	5	1	1	NUM
ejpam-4442	152	6	2	2	NUM
ejpam-4442	152	7	(	(	PUNCT
ejpam-4442	152	8	α	α	NOUN
ejpam-4442	152	9	√	√	ADJ
ejpam-4442	152	10	ρ2	ρ2	PROPN
ejpam-4442	152	11	+	+	CCONJ
ejpam-4442	152	12	b2)ℑn+1(−b/	b2)ℑn+1(−b/	ADJ
ejpam-4442	152	13	√	√	CCONJ
ejpam-4442	152	14	ρ2	ρ2	PROPN
ejpam-4442	152	15	+	+	CCONJ
ejpam-4442	152	16	b2	b2	NOUN
ejpam-4442	152	17	)	)	PUNCT
ejpam-4442	152	18	)	)	PUNCT
ejpam-4442	152	19	j1(tτ)dt	j1(tτ)dt	NOUN
ejpam-4442	152	20	=	=	SYM
ejpam-4442	152	21	(	(	PUNCT
ejpam-4442	152	22	−1)n	−1)n	PROPN
ejpam-4442	152	23	√	√	NUM
ejpam-4442	152	24	πα	πα	PROPN
ejpam-4442	152	25	2τ2	2τ2	NUM
ejpam-4442	152	26	e−bξℑn	e−bξℑn	PROPN
ejpam-4442	152	27	(	(	PUNCT
ejpam-4442	152	28	ξ	ξ	PROPN
ejpam-4442	152	29	α	α	NOUN
ejpam-4442	152	30	)	)	PUNCT
ejpam-4442	152	31	(	(	PUNCT
ejpam-4442	152	32	35	35	NUM
ejpam-4442	152	33	)	)	PUNCT
ejpam-4442	152	34	∫	∫	PROPN
ejpam-4442	153	1	∞	∞	PROPN
ejpam-4442	153	2	0	0	PUNCT
ejpam-4442	153	3	t	t	PROPN
ejpam-4442	153	4	(	(	PUNCT
ejpam-4442	153	5	t2	t2	PROPN
ejpam-4442	153	6	+	+	CCONJ
ejpam-4442	153	7	b2)−	b2)−	VERB
ejpam-4442	153	8	n+1	n+1	PROPN
ejpam-4442	153	9	2	2	NUM
ejpam-4442	153	10	pn	pn	NOUN
ejpam-4442	153	11	(	(	PUNCT
ejpam-4442	153	12	−b	−b	NOUN
ejpam-4442	153	13	(	(	PUNCT
ejpam-4442	153	14	t2	t2	PROPN
ejpam-4442	153	15	+	+	CCONJ
ejpam-4442	153	16	b2	b2	NOUN
ejpam-4442	153	17	)	)	PUNCT
ejpam-4442	153	18	1	1	NUM
ejpam-4442	153	19	2	2	NUM
ejpam-4442	153	20	)	)	PUNCT
ejpam-4442	153	21	j0(tτ)dt	j0(tτ)dt	NOUN
ejpam-4442	154	1	=	=	PUNCT
ejpam-4442	154	2	(	(	PUNCT
ejpam-4442	154	3	−1)nτn−1	−1)nτn−1	PROPN
ejpam-4442	154	4	(	(	PUNCT
ejpam-4442	154	5	n	n	CCONJ
ejpam-4442	154	6	)	)	PUNCT
ejpam-4442	154	7	!	!	PUNCT
ejpam-4442	155	1	e−τb	e−τb	PROPN
ejpam-4442	155	2	(	(	PUNCT
ejpam-4442	155	3	36	36	NUM
ejpam-4442	155	4	)	)	PUNCT
ejpam-4442	155	5	∫	∫	PROPN
ejpam-4442	156	1	∞	∞	PROPN
ejpam-4442	156	2	0	0	PROPN
ejpam-4442	156	3	t(t2	t(t2	NOUN
ejpam-4442	156	4	+	+	SYM
ejpam-4442	156	5	b2	b2	NOUN
ejpam-4442	156	6	)	)	PUNCT
ejpam-4442	156	7	−3	−3	PROPN
ejpam-4442	156	8	4	4	NUM
ejpam-4442	156	9	(	(	PUNCT
ejpam-4442	156	10	−	−	PROPN
ejpam-4442	156	11	α	α	NOUN
ejpam-4442	156	12	√	√	NOUN
ejpam-4442	156	13	t2	t2	NOUN
ejpam-4442	156	14	+	+	CCONJ
ejpam-4442	156	15	b2	b2	NOUN
ejpam-4442	156	16	kn−	kn−	PROPN
ejpam-4442	156	17	3	3	NUM
ejpam-4442	156	18	2	2	NUM
ejpam-4442	156	19	(	(	PUNCT
ejpam-4442	156	20	α	α	NOUN
ejpam-4442	156	21	√	√	ADJ
ejpam-4442	156	22	t2	t2	PROPN
ejpam-4442	156	23	+	+	CCONJ
ejpam-4442	156	24	b2	b2	NOUN
ejpam-4442	156	25	)	)	PUNCT
ejpam-4442	156	26	ℑn(−b/	ℑn(−b/	PROPN
ejpam-4442	156	27	√	√	ADJ
ejpam-4442	156	28	t2	t2	NOUN
ejpam-4442	156	29	+	+	CCONJ
ejpam-4442	156	30	b2)×	b2)×	X
ejpam-4442	156	31	+	+	NOUN
ejpam-4442	156	32	kn−	kn−	PROPN
ejpam-4442	156	33	1	1	NUM
ejpam-4442	156	34	2	2	NUM
ejpam-4442	156	35	(	(	PUNCT
ejpam-4442	156	36	α	α	NOUN
ejpam-4442	156	37	√	√	ADJ
ejpam-4442	156	38	t2	t2	PROPN
ejpam-4442	156	39	+	+	CCONJ
ejpam-4442	156	40	b2	b2	NOUN
ejpam-4442	156	41	)	)	PUNCT
ejpam-4442	156	42	pn(−b/	pn(−b/	VERB
ejpam-4442	156	43	√	√	ADP
ejpam-4442	156	44	t2	t2	NOUN
ejpam-4442	156	45	+	+	CCONJ
ejpam-4442	156	46	b2	b2	NOUN
ejpam-4442	156	47	)	)	PUNCT
ejpam-4442	156	48	)	)	PUNCT
ejpam-4442	157	1	j0(tτ)dt	j0(tτ)dt	NOUN
ejpam-4442	158	1	=	=	PUNCT
ejpam-4442	159	1	(	(	PUNCT
ejpam-4442	159	2	−1)n−1	−1)n−1	ADV
ejpam-4442	159	3	√	√	ADJ
ejpam-4442	159	4	πα	πα	PROPN
ejpam-4442	159	5	2ξ2	2ξ2	NUM
ejpam-4442	159	6	e−bξ	e−bξ	PROPN
ejpam-4442	160	1	ℑn	ℑn	PROPN
ejpam-4442	160	2	(	(	PUNCT
ejpam-4442	160	3	ξ	ξ	PROPN
ejpam-4442	160	4	α	α	NOUN
ejpam-4442	160	5	)	)	PUNCT
ejpam-4442	160	6	(	(	PUNCT
ejpam-4442	160	7	37	37	NUM
ejpam-4442	160	8	)	)	PUNCT
ejpam-4442	160	9	to	to	PART
ejpam-4442	160	10	determine	determine	VERB
ejpam-4442	160	11	the	the	DET
ejpam-4442	160	12	unknown	unknown	ADJ
ejpam-4442	160	13	an	an	PRON
ejpam-4442	160	14	,	,	PUNCT
ejpam-4442	160	15	bn	bn	CCONJ
ejpam-4442	160	16	we	we	PRON
ejpam-4442	160	17	apply	apply	VERB
ejpam-4442	160	18	the	the	DET
ejpam-4442	160	19	boundary	boundary	ADJ
ejpam-4442	160	20	conditions	condition	NOUN
ejpam-4442	160	21	on	on	ADP
ejpam-4442	160	22	the	the	DET
ejpam-4442	160	23	sphere	sphere	NOUN
ejpam-4442	160	24	r	r	NOUN
ejpam-4442	160	25	=	=	PUNCT
ejpam-4442	160	26	a	a	NOUN
ejpam-4442	160	27	:	:	PUNCT
ejpam-4442	160	28	∞∑	∞∑	NUM
ejpam-4442	160	29	2	2	NUM
ejpam-4442	160	30	{	{	PUNCT
ejpam-4442	160	31	an	an	DET
ejpam-4442	160	32	(	(	PUNCT
ejpam-4442	160	33	γ	γ	X
ejpam-4442	160	34	(	(	PUNCT
ejpam-4442	160	35	1	1	NUM
ejpam-4442	160	36	)	)	PUNCT
ejpam-4442	160	37	1n	1n	NUM
ejpam-4442	160	38	(	(	PUNCT
ejpam-4442	160	39	1	1	NUM
ejpam-4442	160	40	,	,	PUNCT
ejpam-4442	160	41	θ)−	θ)−	PROPN
ejpam-4442	160	42	β	β	X
ejpam-4442	160	43	cos	cos	PROPN
ejpam-4442	160	44	θ	θ	PROPN
ejpam-4442	160	45	γ∗1n(1	γ∗1n(1	PROPN
ejpam-4442	160	46	,	,	PUNCT
ejpam-4442	160	47	θ	θ	NOUN
ejpam-4442	160	48	)	)	PUNCT
ejpam-4442	160	49	)	)	PUNCT
ejpam-4442	161	1	+	+	ADV
ejpam-4442	161	2	bn	bn	INTJ
ejpam-4442	161	3	(	(	PUNCT
ejpam-4442	161	4	γ	γ	X
ejpam-4442	161	5	(	(	PUNCT
ejpam-4442	161	6	1	1	NUM
ejpam-4442	161	7	)	)	PUNCT
ejpam-4442	161	8	2n	2n	NUM
ejpam-4442	161	9	(	(	PUNCT
ejpam-4442	161	10	1	1	NUM
ejpam-4442	161	11	,	,	PUNCT
ejpam-4442	161	12	θ)−	θ)−	PROPN
ejpam-4442	161	13	β	β	X
ejpam-4442	161	14	cos	cos	ADP
ejpam-4442	161	15	θ	θ	PROPN
ejpam-4442	161	16	γ∗2n(1	γ∗2n(1	PROPN
ejpam-4442	161	17	,	,	PUNCT
ejpam-4442	161	18	θ	θ	NOUN
ejpam-4442	161	19	)	)	PUNCT
ejpam-4442	161	20	)	)	PUNCT
ejpam-4442	161	21	}	}	PUNCT
ejpam-4442	162	1	=	=	SYM
ejpam-4442	162	2	0	0	NUM
ejpam-4442	162	3	,	,	PUNCT
ejpam-4442	162	4	(	(	PUNCT
ejpam-4442	162	5	38	38	NUM
ejpam-4442	162	6	)	)	PUNCT
ejpam-4442	162	7	∞∑	∞∑	NUM
ejpam-4442	162	8	2	2	NUM
ejpam-4442	162	9	{	{	PUNCT
ejpam-4442	162	10	an	an	DET
ejpam-4442	162	11	(	(	PUNCT
ejpam-4442	162	12	γ	γ	X
ejpam-4442	162	13	(	(	PUNCT
ejpam-4442	162	14	2	2	NUM
ejpam-4442	162	15	)	)	PUNCT
ejpam-4442	162	16	1n	1n	NUM
ejpam-4442	162	17	(	(	PUNCT
ejpam-4442	162	18	1	1	NUM
ejpam-4442	162	19	,	,	PUNCT
ejpam-4442	162	20	θ)−	θ)−	PROPN
ejpam-4442	162	21	β	β	NOUN
ejpam-4442	162	22	sin	sin	VERB
ejpam-4442	162	23	θ	θ	PROPN
ejpam-4442	162	24	γ∗1n(1	γ∗1n(1	NOUN
ejpam-4442	162	25	,	,	PUNCT
ejpam-4442	162	26	θ	θ	NOUN
ejpam-4442	162	27	)	)	PUNCT
ejpam-4442	162	28	)	)	PUNCT
ejpam-4442	163	1	+	+	ADV
ejpam-4442	163	2	bn	bn	INTJ
ejpam-4442	163	3	(	(	PUNCT
ejpam-4442	163	4	γ	γ	X
ejpam-4442	163	5	(	(	PUNCT
ejpam-4442	163	6	2	2	NUM
ejpam-4442	163	7	)	)	PUNCT
ejpam-4442	163	8	2n	2n	NUM
ejpam-4442	163	9	(	(	PUNCT
ejpam-4442	163	10	1	1	NUM
ejpam-4442	163	11	,	,	PUNCT
ejpam-4442	163	12	θ)−	θ)−	PROPN
ejpam-4442	163	13	β	β	PROPN
ejpam-4442	163	14	sin	sin	VERB
ejpam-4442	163	15	θ	θ	PROPN
ejpam-4442	163	16	γ∗2n(1	γ∗2n(1	X
ejpam-4442	163	17	,	,	PUNCT
ejpam-4442	163	18	θ	θ	NOUN
ejpam-4442	163	19	)	)	PUNCT
ejpam-4442	163	20	)	)	PUNCT
ejpam-4442	163	21	}	}	PUNCT
ejpam-4442	164	1	=	=	PUNCT
ejpam-4442	164	2	u.	u.	NOUN
ejpam-4442	164	3	(	(	PUNCT
ejpam-4442	164	4	39	39	NUM
ejpam-4442	164	5	)	)	PUNCT
ejpam-4442	164	6	accordingly	accordingly	ADV
ejpam-4442	164	7	,	,	PUNCT
ejpam-4442	164	8	following	follow	VERB
ejpam-4442	164	9	the	the	DET
ejpam-4442	164	10	procedure	procedure	NOUN
ejpam-4442	164	11	developed	develop	VERB
ejpam-4442	164	12	by	by	ADP
ejpam-4442	164	13	chadwick	chadwick	PROPN
ejpam-4442	164	14	,	,	PUNCT
ejpam-4442	164	15	z.	z.	PROPN
ejpam-4442	164	16	liao	liao	PROPN
ejpam-4442	165	1	[	[	X
ejpam-4442	165	2	43	43	NUM
ejpam-4442	165	3	]	]	PUNCT
ejpam-4442	165	4	,	,	PUNCT
ejpam-4442	165	5	happel	happel	PROPN
ejpam-4442	165	6	and	and	CCONJ
ejpam-4442	165	7	brenner	brenner	VERB
ejpam-4442	166	1	[	[	X
ejpam-4442	166	2	41	41	NUM
ejpam-4442	166	3	]	]	PUNCT
ejpam-4442	166	4	or	or	CCONJ
ejpam-4442	166	5	by	by	ADP
ejpam-4442	166	6	sherief	sherief	NOUN
ejpam-4442	166	7	et	et	PROPN
ejpam-4442	166	8	al	al	PROPN
ejpam-4442	167	1	[	[	X
ejpam-4442	167	2	39	39	NUM
ejpam-4442	167	3	]	]	PUNCT
ejpam-4442	167	4	or	or	CCONJ
ejpam-4442	167	5	by	by	ADP
ejpam-4442	167	6	shreen	shreen	NUM
ejpam-4442	167	7	and	and	CCONJ
ejpam-4442	167	8	faltas	falta	NOUN
ejpam-4442	167	9	[	[	X
ejpam-4442	167	10	28	28	NUM
ejpam-4442	167	11	]	]	PUNCT
ejpam-4442	167	12	,	,	PUNCT
ejpam-4442	167	13	the	the	DET
ejpam-4442	167	14	force	force	NOUN
ejpam-4442	167	15	exerted	exert	VERB
ejpam-4442	167	16	by	by	ADP
ejpam-4442	167	17	the	the	DET
ejpam-4442	167	18	shreen	shreen	PROPN
ejpam-4442	167	19	el	el	PROPN
ejpam-4442	167	20	-	-	PUNCT
ejpam-4442	167	21	sapa	sapa	PROPN
ejpam-4442	167	22	/	/	SYM
ejpam-4442	167	23	eur	eur	NOUN
ejpam-4442	167	24	.	.	PUNCT
ejpam-4442	168	1	j.	j.	PROPN
ejpam-4442	168	2	pure	pure	PROPN
ejpam-4442	168	3	appl	appl	PROPN
ejpam-4442	168	4	.	.	PROPN
ejpam-4442	168	5	math	math	PROPN
ejpam-4442	168	6	,	,	PUNCT
ejpam-4442	168	7	15	15	NUM
ejpam-4442	168	8	(	(	PUNCT
ejpam-4442	168	9	3	3	NUM
ejpam-4442	168	10	)	)	PUNCT
ejpam-4442	168	11	(	(	PUNCT
ejpam-4442	168	12	2022	2022	NUM
ejpam-4442	168	13	)	)	PUNCT
ejpam-4442	168	14	,	,	PUNCT
ejpam-4442	168	15	1376	1376	NUM
ejpam-4442	168	16	-	-	SYM
ejpam-4442	168	17	1401	1401	NUM
ejpam-4442	168	18	1385	1385	NUM
ejpam-4442	168	19	micropolar	micropolar	ADJ
ejpam-4442	168	20	fluid	fluid	NOUN
ejpam-4442	168	21	on	on	ADP
ejpam-4442	168	22	the	the	DET
ejpam-4442	168	23	body	body	NOUN
ejpam-4442	168	24	in	in	ADP
ejpam-4442	168	25	the	the	DET
ejpam-4442	168	26	positive	positive	ADJ
ejpam-4442	168	27	z−	z−	PROPN
ejpam-4442	168	28	direction	direction	NOUN
ejpam-4442	168	29	,	,	PUNCT
ejpam-4442	168	30	in	in	ADP
ejpam-4442	168	31	the	the	DET
ejpam-4442	168	32	presence	presence	NOUN
ejpam-4442	168	33	of	of	ADP
ejpam-4442	168	34	a	a	DET
ejpam-4442	168	35	transverse	transverse	NOUN
ejpam-4442	168	36	magnetic	magnetic	ADJ
ejpam-4442	168	37	field	field	NOUN
ejpam-4442	169	1	[	[	X
ejpam-4442	169	2	44	44	NUM
ejpam-4442	169	3	]	]	PUNCT
ejpam-4442	169	4	and	and	CCONJ
ejpam-4442	169	5	[	[	X
ejpam-4442	169	6	45	45	NUM
ejpam-4442	169	7	]	]	PUNCT
ejpam-4442	169	8	,	,	PUNCT
ejpam-4442	169	9	is	be	AUX
ejpam-4442	169	10	given	give	VERB
ejpam-4442	169	11	by	by	ADP
ejpam-4442	169	12	:	:	PUNCT
ejpam-4442	169	13	fz	fz	NOUN
ejpam-4442	169	14	=	=	PUNCT
ejpam-4442	170	1	πµ	πµ	PROPN
ejpam-4442	170	2	∫	∫	PROPN
ejpam-4442	170	3	c	c	PROPN
ejpam-4442	170	4	ρ3	ρ3	PROPN
ejpam-4442	170	5	∂	∂	NOUN
ejpam-4442	171	1	∂n	∂n	PROPN
ejpam-4442	172	1	[	[	X
ejpam-4442	172	2	e	e	X
ejpam-4442	172	3	2ψ	2ψ	NUM
ejpam-4442	172	4	ρ2	ρ2	PROPN
ejpam-4442	172	5	−	−	PROPN
ejpam-4442	172	6	ik	ik	PROPN
ejpam-4442	172	7	ν	ν	ADP
ejpam-4442	172	8	ρψ	ρψ	X
ejpam-4442	172	9	]	]	X
ejpam-4442	172	10	ds	ds	X
ejpam-4442	172	11	,	,	PUNCT
ejpam-4442	172	12	(	(	PUNCT
ejpam-4442	172	13	40	40	NUM
ejpam-4442	172	14	)	)	PUNCT
ejpam-4442	172	15	where	where	SCONJ
ejpam-4442	172	16	ds	ds	NOUN
ejpam-4442	172	17	is	be	AUX
ejpam-4442	172	18	an	an	DET
ejpam-4442	172	19	arc	arc	NOUN
ejpam-4442	172	20	length	length	NOUN
ejpam-4442	172	21	of	of	ADP
ejpam-4442	172	22	a	a	DET
ejpam-4442	172	23	meridian	meridian	PROPN
ejpam-4442	172	24	curve	curve	NOUN
ejpam-4442	172	25	c	c	PROPN
ejpam-4442	172	26	on	on	ADP
ejpam-4442	172	27	the	the	DET
ejpam-4442	172	28	surface	surface	NOUN
ejpam-4442	172	29	of	of	ADP
ejpam-4442	172	30	the	the	DET
ejpam-4442	172	31	body	body	NOUN
ejpam-4442	172	32	.	.	PUNCT
ejpam-4442	173	1	if	if	SCONJ
ejpam-4442	173	2	the	the	DET
ejpam-4442	173	3	medium	medium	NOUN
ejpam-4442	173	4	is	be	AUX
ejpam-4442	173	5	unbounded	unbounde	VERB
ejpam-4442	173	6	,	,	PUNCT
ejpam-4442	173	7	we	we	PRON
ejpam-4442	173	8	may	may	AUX
ejpam-4442	173	9	obtain	obtain	VERB
ejpam-4442	173	10	a	a	DET
ejpam-4442	173	11	simpler	simple	ADJ
ejpam-4442	173	12	formula	formula	NOUN
ejpam-4442	173	13	for	for	ADP
ejpam-4442	173	14	the	the	DET
ejpam-4442	173	15	drag	drag	NOUN
ejpam-4442	173	16	force	force	NOUN
ejpam-4442	173	17	.	.	PUNCT
ejpam-4442	174	1	following	follow	VERB
ejpam-4442	174	2	a	a	DET
ejpam-4442	174	3	procedure	procedure	NOUN
ejpam-4442	174	4	similar	similar	ADJ
ejpam-4442	174	5	that	that	SCONJ
ejpam-4442	174	6	used	use	VERB
ejpam-4442	174	7	by	by	ADP
ejpam-4442	174	8	lawrence	lawrence	NOUN
ejpam-4442	174	9	and	and	CCONJ
ejpam-4442	174	10	weinbaum	weinbaum	PROPN
ejpam-4442	174	11	[	[	X
ejpam-4442	174	12	45	45	NUM
ejpam-4442	174	13	]	]	PUNCT
ejpam-4442	174	14	,	,	PUNCT
ejpam-4442	174	15	we	we	PRON
ejpam-4442	174	16	obtain	obtain	VERB
ejpam-4442	174	17	fz	fz	VERB
ejpam-4442	174	18	in	in	ADP
ejpam-4442	174	19	the	the	DET
ejpam-4442	174	20	form	form	NOUN
ejpam-4442	174	21	fz	fz	X
ejpam-4442	174	22	=	=	SYM
ejpam-4442	174	23	k2	k2	PROPN
ejpam-4442	174	24	[	[	PUNCT
ejpam-4442	174	25	v	v	NOUN
ejpam-4442	174	26	+	+	CCONJ
ejpam-4442	174	27	4π	4π	NUM
ejpam-4442	174	28	lim	lim	PROPN
ejpam-4442	174	29	r→∞	r→∞	NUM
ejpam-4442	174	30	r3ψ	r3ψ	PROPN
ejpam-4442	174	31	ρ2	ρ2	PROPN
ejpam-4442	174	32	]	]	PUNCT
ejpam-4442	174	33	,	,	PUNCT
ejpam-4442	174	34	(	(	PUNCT
ejpam-4442	174	35	41	41	NUM
ejpam-4442	174	36	)	)	PUNCT
ejpam-4442	174	37	where	where	SCONJ
ejpam-4442	174	38	v	v	NOUN
ejpam-4442	174	39	is	be	AUX
ejpam-4442	174	40	the	the	DET
ejpam-4442	174	41	volume	volume	NOUN
ejpam-4442	174	42	of	of	ADP
ejpam-4442	174	43	the	the	DET
ejpam-4442	174	44	body	body	NOUN
ejpam-4442	174	45	and	and	CCONJ
ejpam-4442	174	46	ρ	ρ	NOUN
ejpam-4442	174	47	=	=	NOUN
ejpam-4442	174	48	r	r	NOUN
ejpam-4442	174	49	sin	sin	NOUN
ejpam-4442	174	50	θ	θ	NOUN
ejpam-4442	174	51	.	.	PUNCT
ejpam-4442	175	1	formula	formula	NOUN
ejpam-4442	175	2	(	(	PUNCT
ejpam-4442	175	3	41	41	NUM
ejpam-4442	175	4	)	)	PUNCT
ejpam-4442	175	5	is	be	AUX
ejpam-4442	175	6	applied	apply	VERB
ejpam-4442	175	7	under	under	ADP
ejpam-4442	175	8	the	the	DET
ejpam-4442	175	9	condition	condition	NOUN
ejpam-4442	175	10	of	of	ADP
ejpam-4442	175	11	no	no	DET
ejpam-4442	175	12	fluid	fluid	ADJ
ejpam-4442	175	13	motion	motion	NOUN
ejpam-4442	175	14	at	at	ADP
ejpam-4442	175	15	infinity	infinity	NOUN
ejpam-4442	175	16	.	.	PUNCT
ejpam-4442	176	1	aside	aside	ADV
ejpam-4442	176	2	from	from	ADP
ejpam-4442	176	3	the	the	DET
ejpam-4442	176	4	restriction	restriction	NOUN
ejpam-4442	176	5	to	to	ADP
ejpam-4442	176	6	axisymmetric	axisymmetric	ADJ
ejpam-4442	176	7	flow	flow	NOUN
ejpam-4442	176	8	,	,	PUNCT
ejpam-4442	176	9	no	no	DET
ejpam-4442	176	10	assumption	assumption	NOUN
ejpam-4442	176	11	is	be	AUX
ejpam-4442	176	12	made	make	VERB
ejpam-4442	176	13	about	about	ADP
ejpam-4442	176	14	the	the	DET
ejpam-4442	176	15	shape	shape	NOUN
ejpam-4442	176	16	of	of	ADP
ejpam-4442	176	17	the	the	DET
ejpam-4442	176	18	body	body	NOUN
ejpam-4442	176	19	,	,	PUNCT
ejpam-4442	176	20	see	see	VERB
ejpam-4442	176	21	fig.1	fig.1	PROPN
ejpam-4442	176	22	.	.	PUNCT
ejpam-4442	177	1	the	the	DET
ejpam-4442	177	2	result	result	NOUN
ejpam-4442	177	3	may	may	AUX
ejpam-4442	177	4	then	then	ADV
ejpam-4442	177	5	be	be	AUX
ejpam-4442	177	6	used	use	VERB
ejpam-4442	177	7	for	for	ADP
ejpam-4442	177	8	flows	flow	NOUN
ejpam-4442	177	9	involving	involve	VERB
ejpam-4442	177	10	porous	porous	ADJ
ejpam-4442	177	11	bodies	body	NOUN
ejpam-4442	177	12	,	,	PUNCT
ejpam-4442	177	13	droplets	droplet	NOUN
ejpam-4442	177	14	,	,	PUNCT
ejpam-4442	177	15	non	non	ADJ
ejpam-4442	177	16	spherical	spherical	ADJ
ejpam-4442	177	17	bodies	body	NOUN
ejpam-4442	177	18	,	,	PUNCT
ejpam-4442	177	19	interactions	interaction	NOUN
ejpam-4442	177	20	among	among	ADP
ejpam-4442	177	21	bodies	body	NOUN
ejpam-4442	177	22	and	and	CCONJ
ejpam-4442	177	23	interact	interact	VERB
ejpam-4442	177	24	between	between	ADP
ejpam-4442	177	25	bodies	body	NOUN
ejpam-4442	177	26	and	and	CCONJ
ejpam-4442	177	27	surfaces	surface	NOUN
ejpam-4442	177	28	.	.	PUNCT
ejpam-4442	178	1	this	this	DET
ejpam-4442	178	2	formula	formula	NOUN
ejpam-4442	178	3	is	be	AUX
ejpam-4442	178	4	applied	apply	VERB
ejpam-4442	178	5	also	also	ADV
ejpam-4442	178	6	regardless	regardless	ADV
ejpam-4442	178	7	of	of	ADP
ejpam-4442	178	8	the	the	DET
ejpam-4442	178	9	boundary	boundary	ADJ
ejpam-4442	178	10	conditions	condition	NOUN
ejpam-4442	178	11	satisfied	satisfied	ADJ
ejpam-4442	178	12	at	at	ADP
ejpam-4442	178	13	the	the	DET
ejpam-4442	178	14	surface	surface	NOUN
ejpam-4442	178	15	of	of	ADP
ejpam-4442	178	16	the	the	DET
ejpam-4442	178	17	body	body	NOUN
ejpam-4442	178	18	.	.	PUNCT
ejpam-4442	179	1	note	note	VERB
ejpam-4442	179	2	that	that	SCONJ
ejpam-4442	179	3	this	this	DET
ejpam-4442	179	4	formula	formula	NOUN
ejpam-4442	179	5	is	be	AUX
ejpam-4442	179	6	singular	singular	ADJ
ejpam-4442	179	7	as	as	ADP
ejpam-4442	179	8	k	k	PROPN
ejpam-4442	179	9	→	→	SYM
ejpam-4442	179	10	0	0	NUM
ejpam-4442	179	11	by	by	ADP
ejpam-4442	179	12	[	[	X
ejpam-4442	179	13	46	46	NUM
ejpam-4442	179	14	]	]	PUNCT
ejpam-4442	179	15	and	and	CCONJ
ejpam-4442	179	16	does	do	AUX
ejpam-4442	179	17	not	not	PART
ejpam-4442	179	18	reduce	reduce	VERB
ejpam-4442	179	19	to	to	ADP
ejpam-4442	179	20	the	the	DET
ejpam-4442	179	21	corresponding	correspond	VERB
ejpam-4442	179	22	formula	formula	NOUN
ejpam-4442	179	23	in	in	ADP
ejpam-4442	179	24	the	the	DET
ejpam-4442	179	25	absence	absence	NOUN
ejpam-4442	179	26	of	of	ADP
ejpam-4442	179	27	the	the	DET
ejpam-4442	179	28	transverse	transverse	NOUN
ejpam-4442	179	29	magnetic	magnetic	ADJ
ejpam-4442	179	30	field	field	NOUN
ejpam-4442	179	31	.	.	PUNCT
ejpam-4442	180	1	therefore	therefore	ADV
ejpam-4442	180	2	,	,	PUNCT
ejpam-4442	180	3	(	(	PUNCT
ejpam-4442	180	4	41	41	NUM
ejpam-4442	180	5	)	)	PUNCT
ejpam-4442	180	6	reduces	reduce	VERB
ejpam-4442	180	7	to	to	PART
ejpam-4442	180	8	:	:	PUNCT
ejpam-4442	180	9	fz	fz	PROPN
ejpam-4442	180	10	=	=	SYM
ejpam-4442	180	11	2πµk2	2πµk2	NUM
ejpam-4442	180	12	(	(	PUNCT
ejpam-4442	180	13	2	2	NUM
ejpam-4442	180	14	3	3	NUM
ejpam-4442	180	15	a3u	a3u	ADP
ejpam-4442	180	16	−	−	PROPN
ejpam-4442	180	17	2a2	2a2	NUM
ejpam-4442	180	18	)	)	PUNCT
ejpam-4442	180	19	e−iϑt	e−iϑt	NOUN
ejpam-4442	180	20	(	(	PUNCT
ejpam-4442	180	21	42	42	NUM
ejpam-4442	180	22	)	)	PUNCT
ejpam-4442	180	23	where	where	SCONJ
ejpam-4442	180	24	the	the	DET
ejpam-4442	180	25	hydrodynamic	hydrodynamic	ADJ
ejpam-4442	180	26	drag	drag	NOUN
ejpam-4442	180	27	force	force	NOUN
ejpam-4442	180	28	f∞	f∞	NOUN
ejpam-4442	180	29	over	over	ADP
ejpam-4442	180	30	an	an	DET
ejpam-4442	180	31	oscillating	oscillate	VERB
ejpam-4442	180	32	solid	solid	ADJ
ejpam-4442	180	33	sphere	sphere	ADV
ejpam-4442	180	34	a	a	DET
ejpam-4442	180	35	moves	move	NOUN
ejpam-4442	180	36	through	through	ADP
ejpam-4442	180	37	unbounded	unbounded	ADJ
ejpam-4442	180	38	viscous	viscous	ADJ
ejpam-4442	180	39	fluid	fluid	NOUN
ejpam-4442	180	40	in	in	ADP
ejpam-4442	180	41	the	the	DET
ejpam-4442	180	42	absent	absent	NOUN
ejpam-4442	180	43	of	of	ADP
ejpam-4442	180	44	the	the	DET
ejpam-4442	180	45	plane	plane	NOUN
ejpam-4442	180	46	wall	wall	NOUN
ejpam-4442	180	47	with	with	ADP
ejpam-4442	180	48	no	no	DET
ejpam-4442	180	49	-	-	PUNCT
ejpam-4442	180	50	slip	slip	NOUN
ejpam-4442	180	51	surface	surface	NOUN
ejpam-4442	180	52	.	.	PUNCT
ejpam-4442	181	1	it	it	PRON
ejpam-4442	181	2	is	be	AUX
ejpam-4442	181	3	given	give	VERB
ejpam-4442	181	4	by	by	ADP
ejpam-4442	181	5	happel	happel	PROPN
ejpam-4442	181	6	and	and	CCONJ
ejpam-4442	181	7	brenner	brenner	VERB
ejpam-4442	182	1	[	[	X
ejpam-4442	182	2	41	41	NUM
ejpam-4442	182	3	]	]	X
ejpam-4442	182	4	:	:	PUNCT
ejpam-4442	182	5	f∞	f∞	X
ejpam-4442	182	6	=	=	SYM
ejpam-4442	182	7	−6πµua	−6πµua	PROPN
ejpam-4442	182	8	(	(	PUNCT
ejpam-4442	182	9	1	1	NUM
ejpam-4442	182	10	+	+	CCONJ
ejpam-4442	182	11	k	k	X
ejpam-4442	182	12	+	+	CCONJ
ejpam-4442	182	13	1	1	NUM
ejpam-4442	182	14	9	9	NUM
ejpam-4442	182	15	k2	k2	NOUN
ejpam-4442	182	16	)	)	PUNCT
ejpam-4442	182	17	e−iϑt	e−iϑt	NOUN
ejpam-4442	182	18	(	(	PUNCT
ejpam-4442	182	19	43	43	NUM
ejpam-4442	182	20	)	)	PUNCT
ejpam-4442	182	21	from	from	ADP
ejpam-4442	182	22	equations	equation	NOUN
ejpam-4442	182	23	(	(	PUNCT
ejpam-4442	182	24	41	41	NUM
ejpam-4442	182	25	)	)	PUNCT
ejpam-4442	182	26	and	and	CCONJ
ejpam-4442	182	27	(	(	PUNCT
ejpam-4442	182	28	42	42	NUM
ejpam-4442	182	29	)	)	PUNCT
ejpam-4442	182	30	,	,	PUNCT
ejpam-4442	182	31	the	the	DET
ejpam-4442	182	32	normalized	normalize	VERB
ejpam-4442	182	33	drag	drag	PROPN
ejpam-4442	182	34	,	,	PUNCT
ejpam-4442	182	35	f	f	PROPN
ejpam-4442	182	36	can	can	AUX
ejpam-4442	182	37	be	be	AUX
ejpam-4442	182	38	put	put	VERB
ejpam-4442	182	39	in	in	ADP
ejpam-4442	182	40	the	the	DET
ejpam-4442	182	41	form	form	NOUN
ejpam-4442	182	42	:	:	PUNCT
ejpam-4442	182	43	fz	fz	VERB
ejpam-4442	182	44	f∞	f∞	NOUN
ejpam-4442	182	45	=	=	SYM
ejpam-4442	182	46	k	k	PROPN
ejpam-4442	183	1	+	+	CCONJ
ejpam-4442	183	2	ik	ik	PROPN
ejpam-4442	183	3	′	′	NUM
ejpam-4442	183	4	,	,	PUNCT
ejpam-4442	183	5	(	(	PUNCT
ejpam-4442	183	6	44	44	NUM
ejpam-4442	183	7	)	)	PUNCT
ejpam-4442	183	8	where	where	SCONJ
ejpam-4442	183	9	the	the	DET
ejpam-4442	183	10	magnitude	magnitude	NOUN
ejpam-4442	183	11	normalized	normalize	VERB
ejpam-4442	183	12	drag	drag	NOUN
ejpam-4442	183	13	force	force	NOUN
ejpam-4442	183	14	and	and	CCONJ
ejpam-4442	183	15	the	the	DET
ejpam-4442	183	16	phase	phase	NOUN
ejpam-4442	183	17	angle	angle	NOUN
ejpam-4442	183	18	are	be	AUX
ejpam-4442	183	19	obtained	obtain	VERB
ejpam-4442	183	20	as:∣∣∣	as:∣∣∣	PROPN
ejpam-4442	183	21	fz	fz	VERB
ejpam-4442	183	22	f∞	f∞	NOUN
ejpam-4442	183	23	∣∣∣	∣∣∣	NOUN
ejpam-4442	183	24	=	=	X
ejpam-4442	183	25	√k2	√k2	PROPN
ejpam-4442	183	26	+	+	PROPN
ejpam-4442	183	27	k	k	PROPN
ejpam-4442	183	28	′2	′2	NOUN
ejpam-4442	183	29	,	,	PUNCT
ejpam-4442	183	30	θ	θ	PROPN
ejpam-4442	184	1	=	=	SYM
ejpam-4442	184	2	tan−1	tan−1	PROPN
ejpam-4442	184	3	(	(	PUNCT
ejpam-4442	184	4	k	k	NOUN
ejpam-4442	184	5	′	′	NUM
ejpam-4442	185	1	k	k	NOUN
ejpam-4442	185	2	)	)	PUNCT
ejpam-4442	185	3	(	(	PUNCT
ejpam-4442	185	4	45	45	NUM
ejpam-4442	185	5	)	)	PUNCT
ejpam-4442	185	6	where	where	SCONJ
ejpam-4442	185	7	k	k	PROPN
ejpam-4442	185	8	and	and	CCONJ
ejpam-4442	185	9	k	k	PROPN
ejpam-4442	185	10	′	′	NOUN
ejpam-4442	185	11	are	be	AUX
ejpam-4442	185	12	real	real	ADJ
ejpam-4442	185	13	force	force	NOUN
ejpam-4442	185	14	coefficients	coefficient	NOUN
ejpam-4442	185	15	.	.	PUNCT
ejpam-4442	186	1	physically	physically	ADV
ejpam-4442	186	2	,	,	PUNCT
ejpam-4442	186	3	they	they	PRON
ejpam-4442	186	4	are	be	AUX
ejpam-4442	186	5	the	the	DET
ejpam-4442	186	6	in	in	ADJ
ejpam-4442	186	7	phase	phase	NOUN
ejpam-4442	186	8	and	and	CCONJ
ejpam-4442	186	9	out	out	ADJ
ejpam-4442	186	10	-	-	PUNCT
ejpam-4442	186	11	ofphase	ofphase	NOUN
ejpam-4442	186	12	force	force	NOUN
ejpam-4442	186	13	oscillations	oscillation	NOUN
ejpam-4442	186	14	,	,	PUNCT
ejpam-4442	186	15	respectively	respectively	ADV
ejpam-4442	186	16	and	and	CCONJ
ejpam-4442	186	17	the	the	DET
ejpam-4442	186	18	phase	phase	NOUN
ejpam-4442	186	19	angle	angle	NOUN
ejpam-4442	186	20	is	be	AUX
ejpam-4442	186	21	θ	θ	PROPN
ejpam-4442	186	22	.	.	PUNCT
ejpam-4442	186	23	shreen	shreen	PROPN
ejpam-4442	186	24	el	el	PROPN
ejpam-4442	186	25	-	-	PUNCT
ejpam-4442	186	26	sapa	sapa	PROPN
ejpam-4442	186	27	/	/	SYM
ejpam-4442	186	28	eur	eur	NOUN
ejpam-4442	186	29	.	.	PUNCT
ejpam-4442	187	1	j.	j.	PROPN
ejpam-4442	187	2	pure	pure	PROPN
ejpam-4442	187	3	appl	appl	PROPN
ejpam-4442	187	4	.	.	PROPN
ejpam-4442	187	5	math	math	PROPN
ejpam-4442	187	6	,	,	PUNCT
ejpam-4442	187	7	15	15	NUM
ejpam-4442	187	8	(	(	PUNCT
ejpam-4442	187	9	3	3	NUM
ejpam-4442	187	10	)	)	PUNCT
ejpam-4442	187	11	(	(	PUNCT
ejpam-4442	187	12	2022	2022	NUM
ejpam-4442	187	13	)	)	PUNCT
ejpam-4442	187	14	,	,	PUNCT
ejpam-4442	187	15	1376	1376	NUM
ejpam-4442	187	16	-	-	SYM
ejpam-4442	187	17	1401	1401	NUM
ejpam-4442	187	18	1386	1386	NUM
ejpam-4442	187	19	5	5	NUM
ejpam-4442	187	20	.	.	PUNCT
ejpam-4442	187	21	results	result	NOUN
ejpam-4442	187	22	and	and	CCONJ
ejpam-4442	187	23	numerical	numerical	ADJ
ejpam-4442	187	24	discussions	discussion	NOUN
ejpam-4442	187	25	the	the	DET
ejpam-4442	187	26	proposed	propose	VERB
ejpam-4442	187	27	semi	semi	ADJ
ejpam-4442	187	28	-	-	ADJ
ejpam-4442	187	29	analytical	analytical	ADJ
ejpam-4442	187	30	method	method	NOUN
ejpam-4442	187	31	(	(	PUNCT
ejpam-4442	187	32	collocation	collocation	NOUN
ejpam-4442	187	33	method	method	NOUN
ejpam-4442	187	34	)	)	PUNCT
ejpam-4442	187	35	scheme	scheme	NOUN
ejpam-4442	187	36	can	can	AUX
ejpam-4442	187	37	be	be	AUX
ejpam-4442	187	38	used	use	VERB
ejpam-4442	187	39	for	for	ADP
ejpam-4442	187	40	solving	solve	VERB
ejpam-4442	187	41	the	the	DET
ejpam-4442	187	42	problem	problem	NOUN
ejpam-4442	187	43	.	.	PUNCT
ejpam-4442	188	1	interactions	interaction	NOUN
ejpam-4442	188	2	between	between	ADP
ejpam-4442	188	3	the	the	DET
ejpam-4442	188	4	sphere	sphere	NOUN
ejpam-4442	188	5	and	and	CCONJ
ejpam-4442	188	6	the	the	DET
ejpam-4442	188	7	rigid	rigid	ADJ
ejpam-4442	188	8	wall	wall	NOUN
ejpam-4442	188	9	under	under	ADP
ejpam-4442	188	10	the	the	DET
ejpam-4442	188	11	uniform	uniform	ADJ
ejpam-4442	188	12	magnetic	magnetic	ADJ
ejpam-4442	188	13	field	field	NOUN
ejpam-4442	188	14	are	be	AUX
ejpam-4442	188	15	obtained	obtain	VERB
ejpam-4442	188	16	.	.	PUNCT
ejpam-4442	189	1	the	the	DET
ejpam-4442	189	2	results	result	NOUN
ejpam-4442	189	3	for	for	ADP
ejpam-4442	189	4	the	the	DET
ejpam-4442	189	5	magnitude	magnitude	NOUN
ejpam-4442	189	6	of	of	ADP
ejpam-4442	189	7	the	the	DET
ejpam-4442	189	8	normalized	normalize	VERB
ejpam-4442	189	9	drag	drag	NOUN
ejpam-4442	189	10	are	be	AUX
ejpam-4442	189	11	presented	present	VERB
ejpam-4442	189	12	in	in	ADP
ejpam-4442	189	13	figs	fig	NOUN
ejpam-4442	189	14	.	.	PUNCT
ejpam-4442	190	1	2	2	NUM
ejpam-4442	190	2	-	-	SYM
ejpam-4442	190	3	10	10	NUM
ejpam-4442	190	4	and	and	CCONJ
ejpam-4442	190	5	table	table	NOUN
ejpam-4442	190	6	1	1	NUM
ejpam-4442	190	7	for	for	ADP
ejpam-4442	190	8	different	different	ADJ
ejpam-4442	190	9	parameters	parameter	NOUN
ejpam-4442	190	10	,	,	PUNCT
ejpam-4442	190	11	frequency	frequency	NOUN
ejpam-4442	190	12	,	,	PUNCT
ejpam-4442	190	13	χ	χ	DET
ejpam-4442	190	14	separation	separation	NOUN
ejpam-4442	190	15	,	,	PUNCT
ejpam-4442	190	16	λ	λ	PROPN
ejpam-4442	190	17	=	=	SYM
ejpam-4442	190	18	b	b	PROPN
ejpam-4442	190	19	/	/	SYM
ejpam-4442	190	20	a	a	DET
ejpam-4442	190	21	magnetic	magnetic	ADJ
ejpam-4442	190	22	,	,	PUNCT
ejpam-4442	190	23	α	α	PROPN
ejpam-4442	190	24	and	and	CCONJ
ejpam-4442	190	25	the	the	DET
ejpam-4442	190	26	slip	slip	NOUN
ejpam-4442	190	27	on	on	ADP
ejpam-4442	190	28	the	the	DET
ejpam-4442	190	29	sphere	sphere	NOUN
ejpam-4442	190	30	,	,	PUNCT
ejpam-4442	191	1	η	η	PROPN
ejpam-4442	191	2	=	=	PROPN
ejpam-4442	191	3	µ	µ	X
ejpam-4442	191	4	aβ	aβ	NOUN
ejpam-4442	191	5	.	.	PUNCT
ejpam-4442	192	1	the	the	DET
ejpam-4442	192	2	results	result	NOUN
ejpam-4442	192	3	converge	converge	VERB
ejpam-4442	192	4	to	to	ADP
ejpam-4442	192	5	at	at	ADP
ejpam-4442	192	6	least	least	ADJ
ejpam-4442	192	7	the	the	DET
ejpam-4442	192	8	significant	significant	ADJ
ejpam-4442	192	9	figures	figure	NOUN
ejpam-4442	192	10	shown	show	VERB
ejpam-4442	192	11	in	in	ADP
ejpam-4442	192	12	the	the	DET
ejpam-4442	192	13	table	table	NOUN
ejpam-4442	192	14	and	and	CCONJ
ejpam-4442	192	15	the	the	DET
ejpam-4442	192	16	number	number	NOUN
ejpam-4442	192	17	of	of	ADP
ejpam-4442	192	18	collocation	collocation	NOUN
ejpam-4442	192	19	points	point	NOUN
ejpam-4442	192	20	needed	need	VERB
ejpam-4442	192	21	,	,	PUNCT
ejpam-4442	192	22	n	n	NOUN
ejpam-4442	192	23	=	=	SYM
ejpam-4442	192	24	60	60	NUM
ejpam-4442	192	25	for	for	ADP
ejpam-4442	192	26	each	each	DET
ejpam-4442	192	27	case	case	NOUN
ejpam-4442	192	28	listed	list	VERB
ejpam-4442	192	29	in	in	ADP
ejpam-4442	192	30	the	the	DET
ejpam-4442	192	31	table	table	NOUN
ejpam-4442	192	32	.	.	PUNCT
ejpam-4442	193	1	consequently	consequently	ADV
ejpam-4442	193	2	,	,	PUNCT
ejpam-4442	193	3	there	there	PRON
ejpam-4442	193	4	are	be	VERB
ejpam-4442	193	5	two	two	NUM
ejpam-4442	193	6	(	(	PUNCT
ejpam-4442	193	7	high	high	ADJ
ejpam-4442	193	8	-	-	PUNCT
ejpam-4442	193	9	frequency	frequency	NOUN
ejpam-4442	193	10	and	and	CCONJ
ejpam-4442	193	11	lowfrequency	lowfrequency	NOUN
ejpam-4442	193	12	)	)	PUNCT
ejpam-4442	193	13	oscillation	oscillation	NOUN
ejpam-4442	193	14	regimes	regime	NOUN
ejpam-4442	193	15	that	that	PRON
ejpam-4442	193	16	attenuate	attenuate	VERB
ejpam-4442	193	17	with	with	ADP
ejpam-4442	193	18	constant	constant	ADJ
ejpam-4442	193	19	time	time	NOUN
ejpam-4442	193	20	.	.	PUNCT
ejpam-4442	194	1	an	an	DET
ejpam-4442	194	2	important	important	ADJ
ejpam-4442	194	3	benefit	benefit	NOUN
ejpam-4442	194	4	of	of	ADP
ejpam-4442	194	5	fluctuations	fluctuation	NOUN
ejpam-4442	194	6	between	between	ADP
ejpam-4442	194	7	values	value	NOUN
ejpam-4442	194	8	of	of	ADP
ejpam-4442	194	9	the	the	DET
ejpam-4442	194	10	frequency	frequency	NOUN
ejpam-4442	194	11	and	and	CCONJ
ejpam-4442	194	12	magnetic	magnetic	ADJ
ejpam-4442	194	13	field	field	NOUN
ejpam-4442	194	14	is	be	AUX
ejpam-4442	194	15	damping	damp	VERB
ejpam-4442	194	16	torsional	torsional	ADJ
ejpam-4442	194	17	oscillation	oscillation	NOUN
ejpam-4442	194	18	.	.	PUNCT
ejpam-4442	195	1	as	as	SCONJ
ejpam-4442	195	2	expected	expect	VERB
ejpam-4442	195	3	,	,	PUNCT
ejpam-4442	195	4	the	the	DET
ejpam-4442	195	5	plots	plot	NOUN
ejpam-4442	195	6	show	show	VERB
ejpam-4442	195	7	that	that	SCONJ
ejpam-4442	195	8	as	as	ADP
ejpam-4442	195	9	λ	λ	PROPN
ejpam-4442	195	10	→	→	SYM
ejpam-4442	195	11	0	0	NUM
ejpam-4442	195	12	(	(	PUNCT
ejpam-4442	195	13	i.e.	i.e.	X
ejpam-4442	195	14	,	,	PUNCT
ejpam-4442	195	15	increasing	increase	VERB
ejpam-4442	195	16	gap	gap	NOUN
ejpam-4442	195	17	thickness	thickness	NOUN
ejpam-4442	195	18	between	between	ADP
ejpam-4442	195	19	the	the	DET
ejpam-4442	195	20	sphere	sphere	NOUN
ejpam-4442	195	21	and	and	CCONJ
ejpam-4442	195	22	the	the	DET
ejpam-4442	195	23	plate	plate	NOUN
ejpam-4442	195	24	)	)	PUNCT
ejpam-4442	195	25	,	,	PUNCT
ejpam-4442	195	26	|f	|f	PROPN
ejpam-4442	195	27	/	/	SYM
ejpam-4442	195	28	f∞|	f∞|	PROPN
ejpam-4442	195	29	→	→	SYM
ejpam-4442	195	30	1	1	NUM
ejpam-4442	195	31	where	where	SCONJ
ejpam-4442	195	32	a	a	DET
ejpam-4442	195	33	further	further	ADJ
ejpam-4442	195	34	increase	increase	NOUN
ejpam-4442	195	35	in	in	ADP
ejpam-4442	195	36	amplitude	amplitude	NOUN
ejpam-4442	195	37	caused	cause	VERB
ejpam-4442	195	38	the	the	DET
ejpam-4442	195	39	spheres	sphere	NOUN
ejpam-4442	195	40	to	to	PART
ejpam-4442	195	41	detach	detach	VERB
ejpam-4442	195	42	from	from	ADP
ejpam-4442	195	43	each	each	DET
ejpam-4442	195	44	other	other	ADJ
ejpam-4442	195	45	and	and	CCONJ
ejpam-4442	195	46	oscillate	oscillate	VERB
ejpam-4442	195	47	separately	separately	ADV
ejpam-4442	195	48	.	.	PUNCT
ejpam-4442	196	1	furthermore	furthermore	ADV
ejpam-4442	196	2	,	,	PUNCT
ejpam-4442	196	3	fig.2	fig.2	PROPN
ejpam-4442	196	4	shows	show	VERB
ejpam-4442	196	5	that	that	SCONJ
ejpam-4442	196	6	the	the	DET
ejpam-4442	196	7	magnitude	magnitude	NOUN
ejpam-4442	196	8	of	of	ADP
ejpam-4442	196	9	drag	drag	NOUN
ejpam-4442	196	10	force	force	NOUN
ejpam-4442	196	11	decreases	decrease	VERB
ejpam-4442	196	12	with	with	ADP
ejpam-4442	196	13	increases	increase	NOUN
ejpam-4442	196	14	of	of	ADP
ejpam-4442	196	15	both	both	CCONJ
ejpam-4442	196	16	the	the	DET
ejpam-4442	196	17	separation	separation	NOUN
ejpam-4442	196	18	parameter	parameter	NOUN
ejpam-4442	196	19	for	for	ADP
ejpam-4442	196	20	values	value	NOUN
ejpam-4442	196	21	λ	λ	X
ejpam-4442	196	22	=	=	SYM
ejpam-4442	196	23	0.001	0.001	NUM
ejpam-4442	196	24	,	,	PUNCT
ejpam-4442	196	25	0.1	0.1	NUM
ejpam-4442	196	26	,	,	PUNCT
ejpam-4442	196	27	0.25	0.25	NUM
ejpam-4442	196	28	,	,	PUNCT
ejpam-4442	196	29	0.5	0.5	NUM
ejpam-4442	196	30	and	and	CCONJ
ejpam-4442	196	31	the	the	DET
ejpam-4442	196	32	corresponding	corresponding	ADJ
ejpam-4442	196	33	magnetic	magnetic	ADJ
ejpam-4442	196	34	parameter	parameter	NOUN
ejpam-4442	196	35	α	α	NOUN
ejpam-4442	196	36	=	=	SYM
ejpam-4442	196	37	1	1	NUM
ejpam-4442	196	38	,	,	PUNCT
ejpam-4442	196	39	10	10	NUM
ejpam-4442	196	40	at	at	ADP
ejpam-4442	196	41	a	a	DET
ejpam-4442	196	42	certain	certain	ADJ
ejpam-4442	196	43	value	value	NOUN
ejpam-4442	196	44	of	of	ADP
ejpam-4442	196	45	the	the	DET
ejpam-4442	196	46	frequency	frequency	NOUN
ejpam-4442	196	47	λ	λ	X
ejpam-4442	196	48	=	=	SYM
ejpam-4442	196	49	1	1	NUM
ejpam-4442	196	50	and	and	CCONJ
ejpam-4442	196	51	also	also	ADV
ejpam-4442	196	52	decreases	decrease	VERB
ejpam-4442	196	53	with	with	ADP
ejpam-4442	196	54	monotonically	monotonically	ADV
ejpam-4442	196	55	increases	increase	NOUN
ejpam-4442	196	56	of	of	ADP
ejpam-4442	196	57	the	the	DET
ejpam-4442	196	58	slip	slip	NOUN
ejpam-4442	196	59	to	to	PART
ejpam-4442	196	60	be	be	AUX
ejpam-4442	196	61	stable	stable	ADJ
ejpam-4442	196	62	after	after	ADP
ejpam-4442	196	63	η	η	PROPN
ejpam-4442	196	64	=	=	PROPN
ejpam-4442	196	65	2	2	NUM
ejpam-4442	196	66	for	for	ADP
ejpam-4442	196	67	perfect	perfect	ADJ
ejpam-4442	196	68	slip	slip	NOUN
ejpam-4442	196	69	.	.	PUNCT
ejpam-4442	197	1	as	as	SCONJ
ejpam-4442	197	2	the	the	DET
ejpam-4442	197	3	liquid	liquid	ADJ
ejpam-4442	197	4	amplitude	amplitude	NOUN
ejpam-4442	197	5	was	be	AUX
ejpam-4442	197	6	increased	increase	VERB
ejpam-4442	197	7	under	under	ADP
ejpam-4442	197	8	conditions	condition	NOUN
ejpam-4442	197	9	of	of	ADP
ejpam-4442	197	10	constant	constant	ADJ
ejpam-4442	197	11	frequency	frequency	NOUN
ejpam-4442	197	12	,	,	PUNCT
ejpam-4442	197	13	lateral	lateral	ADJ
ejpam-4442	197	14	oscillation	oscillation	NOUN
ejpam-4442	197	15	of	of	ADP
ejpam-4442	197	16	the	the	DET
ejpam-4442	197	17	sphere	sphere	NOUN
ejpam-4442	197	18	began	begin	VERB
ejpam-4442	197	19	to	to	PART
ejpam-4442	197	20	occur	occur	VERB
ejpam-4442	197	21	.	.	PUNCT
ejpam-4442	198	1	figure	figure	VERB
ejpam-4442	198	2	2	2	NUM
ejpam-4442	198	3	:	:	PUNCT
ejpam-4442	198	4	magnitude	magnitude	NOUN
ejpam-4442	198	5	normalized	normalize	VERB
ejpam-4442	198	6	drag	drag	NOUN
ejpam-4442	198	7	force	force	NOUN
ejpam-4442	198	8	versus	versus	SCONJ
ejpam-4442	198	9	slip	slip	NOUN
ejpam-4442	198	10	at	at	ADP
ejpam-4442	198	11	different	different	ADJ
ejpam-4442	198	12	magnetic	magnetic	ADJ
ejpam-4442	198	13	and	and	CCONJ
ejpam-4442	198	14	separation	separation	NOUN
ejpam-4442	198	15	parameters	parameter	NOUN
ejpam-4442	198	16	with	with	ADP
ejpam-4442	198	17	frequency	frequency	NOUN
ejpam-4442	198	18	χ	χ	X
ejpam-4442	198	19	=	=	SYM
ejpam-4442	198	20	1.0	1.0	NUM
ejpam-4442	198	21	.	.	PUNCT
ejpam-4442	199	1	shreen	shreen	PROPN
ejpam-4442	199	2	el	el	PROPN
ejpam-4442	199	3	-	-	PUNCT
ejpam-4442	199	4	sapa	sapa	PROPN
ejpam-4442	199	5	/	/	SYM
ejpam-4442	199	6	eur	eur	NOUN
ejpam-4442	199	7	.	.	PUNCT
ejpam-4442	200	1	j.	j.	PROPN
ejpam-4442	200	2	pure	pure	PROPN
ejpam-4442	200	3	appl	appl	PROPN
ejpam-4442	200	4	.	.	PROPN
ejpam-4442	200	5	math	math	PROPN
ejpam-4442	200	6	,	,	PUNCT
ejpam-4442	200	7	15	15	NUM
ejpam-4442	200	8	(	(	PUNCT
ejpam-4442	200	9	3	3	NUM
ejpam-4442	200	10	)	)	PUNCT
ejpam-4442	200	11	(	(	PUNCT
ejpam-4442	200	12	2022	2022	NUM
ejpam-4442	200	13	)	)	PUNCT
ejpam-4442	200	14	,	,	PUNCT
ejpam-4442	200	15	1376	1376	NUM
ejpam-4442	200	16	-	-	SYM
ejpam-4442	200	17	1401	1401	NUM
ejpam-4442	200	18	1387	1387	NUM
ejpam-4442	200	19	figure	figure	NOUN
ejpam-4442	200	20	3	3	NUM
ejpam-4442	200	21	:	:	PUNCT
ejpam-4442	200	22	magnitude	magnitude	NOUN
ejpam-4442	200	23	normalized	normalize	VERB
ejpam-4442	200	24	drag	drag	NOUN
ejpam-4442	200	25	force	force	NOUN
ejpam-4442	200	26	versus	versus	SCONJ
ejpam-4442	200	27	slip	slip	VERB
ejpam-4442	200	28	at	at	ADP
ejpam-4442	200	29	different	different	ADJ
ejpam-4442	200	30	frequency	frequency	NOUN
ejpam-4442	200	31	and	and	CCONJ
ejpam-4442	200	32	separation	separation	NOUN
ejpam-4442	200	33	parameters	parameter	NOUN
ejpam-4442	200	34	with	with	ADP
ejpam-4442	200	35	magnetic	magnetic	ADJ
ejpam-4442	200	36	parameter	parameter	NOUN
ejpam-4442	200	37	α	α	X
ejpam-4442	200	38	=	=	NOUN
ejpam-4442	200	39	0.01	0.01	NUM
ejpam-4442	200	40	.	.	PUNCT
ejpam-4442	201	1	shreen	shreen	PROPN
ejpam-4442	201	2	el	el	PROPN
ejpam-4442	201	3	-	-	PUNCT
ejpam-4442	201	4	sapa	sapa	PROPN
ejpam-4442	201	5	/	/	SYM
ejpam-4442	201	6	eur	eur	NOUN
ejpam-4442	201	7	.	.	PUNCT
ejpam-4442	202	1	j.	j.	PROPN
ejpam-4442	202	2	pure	pure	PROPN
ejpam-4442	202	3	appl	appl	PROPN
ejpam-4442	202	4	.	.	PROPN
ejpam-4442	202	5	math	math	PROPN
ejpam-4442	202	6	,	,	PUNCT
ejpam-4442	202	7	15	15	NUM
ejpam-4442	202	8	(	(	PUNCT
ejpam-4442	202	9	3	3	NUM
ejpam-4442	202	10	)	)	PUNCT
ejpam-4442	202	11	(	(	PUNCT
ejpam-4442	202	12	2022	2022	NUM
ejpam-4442	202	13	)	)	PUNCT
ejpam-4442	202	14	,	,	PUNCT
ejpam-4442	202	15	1376	1376	NUM
ejpam-4442	202	16	-	-	SYM
ejpam-4442	202	17	1401	1401	NUM
ejpam-4442	202	18	1388	1388	NUM
ejpam-4442	202	19	figure	figure	NOUN
ejpam-4442	202	20	4	4	NUM
ejpam-4442	202	21	:	:	PUNCT
ejpam-4442	202	22	magnitude	magnitude	NOUN
ejpam-4442	202	23	normalized	normalize	VERB
ejpam-4442	202	24	drag	drag	NOUN
ejpam-4442	202	25	force	force	NOUN
ejpam-4442	202	26	versus	versus	SCONJ
ejpam-4442	202	27	slip	slip	VERB
ejpam-4442	202	28	at	at	ADP
ejpam-4442	202	29	different	different	ADJ
ejpam-4442	202	30	frequency	frequency	NOUN
ejpam-4442	202	31	and	and	CCONJ
ejpam-4442	202	32	magnetic	magnetic	ADJ
ejpam-4442	202	33	parameters	parameter	NOUN
ejpam-4442	202	34	with	with	ADP
ejpam-4442	202	35	separation	separation	NOUN
ejpam-4442	202	36	λ	λ	X
ejpam-4442	202	37	=	=	NOUN
ejpam-4442	202	38	0.3	0.3	NUM
ejpam-4442	202	39	.	.	PUNCT
ejpam-4442	203	1	therefore	therefore	ADV
ejpam-4442	203	2	,	,	PUNCT
ejpam-4442	203	3	fig	fig	NOUN
ejpam-4442	203	4	.	.	PUNCT
ejpam-4442	204	1	3	3	NUM
ejpam-4442	204	2	displays	display	NOUN
ejpam-4442	204	3	that	that	SCONJ
ejpam-4442	204	4	the	the	DET
ejpam-4442	204	5	magnitude	magnitude	NOUN
ejpam-4442	204	6	of	of	ADP
ejpam-4442	204	7	drag	drag	NOUN
ejpam-4442	204	8	force	force	NOUN
ejpam-4442	204	9	decreases	decrease	VERB
ejpam-4442	204	10	with	with	ADP
ejpam-4442	204	11	increases	increase	NOUN
ejpam-4442	204	12	of	of	ADP
ejpam-4442	204	13	the	the	DET
ejpam-4442	204	14	frequency	frequency	NOUN
ejpam-4442	204	15	for	for	ADP
ejpam-4442	204	16	low	low	ADJ
ejpam-4442	204	17	or	or	CCONJ
ejpam-4442	204	18	high	high	ADJ
ejpam-4442	204	19	values	value	NOUN
ejpam-4442	204	20	of	of	ADP
ejpam-4442	204	21	frequency	frequency	NOUN
ejpam-4442	204	22	for	for	ADP
ejpam-4442	204	23	various	various	ADJ
ejpam-4442	204	24	values	value	NOUN
ejpam-4442	204	25	of	of	ADP
ejpam-4442	204	26	the	the	DET
ejpam-4442	204	27	separation	separation	NOUN
ejpam-4442	204	28	parameter	parameter	NOUN
ejpam-4442	204	29	,	,	PUNCT
ejpam-4442	204	30	λ	λ	X
ejpam-4442	204	31	=	=	NOUN
ejpam-4442	204	32	0.01	0.01	NUM
ejpam-4442	204	33	,	,	PUNCT
ejpam-4442	204	34	0.25	0.25	NUM
ejpam-4442	204	35	and	and	CCONJ
ejpam-4442	204	36	decreases	decrease	VERB
ejpam-4442	204	37	with	with	ADP
ejpam-4442	204	38	the	the	DET
ejpam-4442	204	39	slip	slip	NOUN
ejpam-4442	204	40	increases	increase	NOUN
ejpam-4442	204	41	at	at	ADP
ejpam-4442	204	42	constant	constant	ADJ
ejpam-4442	204	43	magnetic	magnetic	ADJ
ejpam-4442	204	44	parameter	parameter	NOUN
ejpam-4442	204	45	α	α	NOUN
ejpam-4442	204	46	=	=	NOUN
ejpam-4442	204	47	0.01	0.01	NUM
ejpam-4442	204	48	.	.	PUNCT
ejpam-4442	205	1	this	this	DET
ejpam-4442	205	2	figure	figure	NOUN
ejpam-4442	205	3	shows	show	VERB
ejpam-4442	205	4	that	that	SCONJ
ejpam-4442	205	5	for	for	ADP
ejpam-4442	205	6	a	a	DET
ejpam-4442	205	7	large	large	ADJ
ejpam-4442	205	8	distance	distance	NOUN
ejpam-4442	205	9	between	between	ADP
ejpam-4442	205	10	the	the	DET
ejpam-4442	205	11	sphere	sphere	NOUN
ejpam-4442	205	12	and	and	CCONJ
ejpam-4442	205	13	the	the	DET
ejpam-4442	205	14	rigid	rigid	ADJ
ejpam-4442	205	15	wall	wall	NOUN
ejpam-4442	205	16	the	the	DET
ejpam-4442	205	17	curves	curve	NOUN
ejpam-4442	205	18	start	start	VERB
ejpam-4442	205	19	from	from	ADP
ejpam-4442	205	20	the	the	DET
ejpam-4442	205	21	same	same	ADJ
ejpam-4442	205	22	point	point	NOUN
ejpam-4442	205	23	at	at	ADP
ejpam-4442	205	24	|f	|f	PROPN
ejpam-4442	205	25	/	/	SYM
ejpam-4442	205	26	f∞|	f∞|	PROPN
ejpam-4442	205	27	→	→	SYM
ejpam-4442	205	28	1	1	NUM
ejpam-4442	205	29	but	but	CCONJ
ejpam-4442	205	30	for	for	ADP
ejpam-4442	205	31	another	another	DET
ejpam-4442	205	32	value	value	NOUN
ejpam-4442	205	33	of	of	ADP
ejpam-4442	205	34	the	the	DET
ejpam-4442	205	35	separation	separation	NOUN
ejpam-4442	205	36	parameter	parameter	NOUN
ejpam-4442	205	37	at	at	ADP
ejpam-4442	205	38	the	the	DET
ejpam-4442	205	39	starting	starting	NOUN
ejpam-4442	205	40	point	point	NOUN
ejpam-4442	205	41	are	be	AUX
ejpam-4442	205	42	dispersed	disperse	VERB
ejpam-4442	205	43	.	.	PUNCT
ejpam-4442	206	1	moreover	moreover	ADV
ejpam-4442	206	2	,	,	PUNCT
ejpam-4442	206	3	in	in	ADP
ejpam-4442	206	4	fig.4	fig.4	DET
ejpam-4442	206	5	exposits	exposit	NOUN
ejpam-4442	206	6	for	for	ADP
ejpam-4442	206	7	increases	increase	NOUN
ejpam-4442	206	8	of	of	ADP
ejpam-4442	206	9	the	the	DET
ejpam-4442	206	10	magnetic	magnetic	ADJ
ejpam-4442	206	11	parameter	parameter	NOUN
ejpam-4442	206	12	,	,	PUNCT
ejpam-4442	206	13	α	α	NOUN
ejpam-4442	206	14	=	=	SYM
ejpam-4442	206	15	0	0	NUM
ejpam-4442	206	16	,	,	PUNCT
ejpam-4442	206	17	1.0	1.0	NUM
ejpam-4442	206	18	,	,	PUNCT
ejpam-4442	206	19	4.0	4.0	NUM
ejpam-4442	206	20	,	,	PUNCT
ejpam-4442	206	21	10.0	10.0	NUM
ejpam-4442	206	22	the	the	DET
ejpam-4442	206	23	magnitude	magnitude	NOUN
ejpam-4442	206	24	of	of	ADP
ejpam-4442	206	25	drag	drag	NOUN
ejpam-4442	206	26	force	force	NOUN
ejpam-4442	206	27	decreases	decrease	VERB
ejpam-4442	206	28	at	at	ADP
ejpam-4442	206	29	separation	separation	NOUN
ejpam-4442	206	30	parameter	parameter	NOUN
ejpam-4442	206	31	,	,	PUNCT
ejpam-4442	206	32	λ	λ	X
ejpam-4442	206	33	=	=	NOUN
ejpam-4442	206	34	0.3	0.3	NUM
ejpam-4442	206	35	.	.	PUNCT
ejpam-4442	207	1	shreen	shreen	PROPN
ejpam-4442	207	2	el	el	PROPN
ejpam-4442	207	3	-	-	PUNCT
ejpam-4442	207	4	sapa	sapa	PROPN
ejpam-4442	207	5	/	/	SYM
ejpam-4442	207	6	eur	eur	NOUN
ejpam-4442	207	7	.	.	PUNCT
ejpam-4442	208	1	j.	j.	PROPN
ejpam-4442	208	2	pure	pure	PROPN
ejpam-4442	208	3	appl	appl	PROPN
ejpam-4442	208	4	.	.	PROPN
ejpam-4442	208	5	math	math	PROPN
ejpam-4442	208	6	,	,	PUNCT
ejpam-4442	208	7	15	15	NUM
ejpam-4442	208	8	(	(	PUNCT
ejpam-4442	208	9	3	3	NUM
ejpam-4442	208	10	)	)	PUNCT
ejpam-4442	208	11	(	(	PUNCT
ejpam-4442	208	12	2022	2022	NUM
ejpam-4442	208	13	)	)	PUNCT
ejpam-4442	208	14	,	,	PUNCT
ejpam-4442	208	15	1376	1376	NUM
ejpam-4442	208	16	-	-	SYM
ejpam-4442	208	17	1401	1401	NUM
ejpam-4442	208	18	1389	1389	NUM
ejpam-4442	208	19	figure	figure	NOUN
ejpam-4442	208	20	5	5	NUM
ejpam-4442	208	21	:	:	PUNCT
ejpam-4442	208	22	magnitude	magnitude	NOUN
ejpam-4442	208	23	normalized	normalize	VERB
ejpam-4442	208	24	drag	drag	NOUN
ejpam-4442	208	25	force	force	NOUN
ejpam-4442	208	26	versus	versus	ADP
ejpam-4442	208	27	frequency	frequency	NOUN
ejpam-4442	208	28	at	at	ADP
ejpam-4442	208	29	different	different	ADJ
ejpam-4442	208	30	slip	slip	NOUN
ejpam-4442	208	31	and	and	CCONJ
ejpam-4442	208	32	magnetic	magnetic	ADJ
ejpam-4442	208	33	parameters	parameter	NOUN
ejpam-4442	208	34	with	with	ADP
ejpam-4442	208	35	separation	separation	NOUN
ejpam-4442	208	36	λ	λ	NOUN
ejpam-4442	208	37	=	=	NOUN
ejpam-4442	208	38	0.01	0.01	NUM
ejpam-4442	208	39	.	.	PUNCT
ejpam-4442	209	1	shreen	shreen	PROPN
ejpam-4442	209	2	el	el	PROPN
ejpam-4442	209	3	-	-	PUNCT
ejpam-4442	209	4	sapa	sapa	PROPN
ejpam-4442	209	5	/	/	SYM
ejpam-4442	209	6	eur	eur	NOUN
ejpam-4442	209	7	.	.	PUNCT
ejpam-4442	210	1	j.	j.	PROPN
ejpam-4442	210	2	pure	pure	PROPN
ejpam-4442	210	3	appl	appl	PROPN
ejpam-4442	210	4	.	.	PROPN
ejpam-4442	210	5	math	math	PROPN
ejpam-4442	210	6	,	,	PUNCT
ejpam-4442	210	7	15	15	NUM
ejpam-4442	210	8	(	(	PUNCT
ejpam-4442	210	9	3	3	NUM
ejpam-4442	210	10	)	)	PUNCT
ejpam-4442	210	11	(	(	PUNCT
ejpam-4442	210	12	2022	2022	NUM
ejpam-4442	210	13	)	)	PUNCT
ejpam-4442	210	14	,	,	PUNCT
ejpam-4442	210	15	1376	1376	NUM
ejpam-4442	210	16	-	-	SYM
ejpam-4442	210	17	1401	1401	NUM
ejpam-4442	210	18	1390	1390	NUM
ejpam-4442	210	19	figure	figure	NOUN
ejpam-4442	210	20	6	6	NUM
ejpam-4442	210	21	:	:	PUNCT
ejpam-4442	210	22	magnitude	magnitude	NOUN
ejpam-4442	210	23	normalized	normalize	VERB
ejpam-4442	210	24	drag	drag	NOUN
ejpam-4442	210	25	force	force	NOUN
ejpam-4442	210	26	versus	versus	ADP
ejpam-4442	210	27	frequency	frequency	NOUN
ejpam-4442	210	28	at	at	ADP
ejpam-4442	210	29	different	different	ADJ
ejpam-4442	210	30	magnetic	magnetic	ADJ
ejpam-4442	210	31	and	and	CCONJ
ejpam-4442	210	32	slip	slip	VERB
ejpam-4442	210	33	parameters	parameter	NOUN
ejpam-4442	210	34	with	with	ADP
ejpam-4442	210	35	separation	separation	NOUN
ejpam-4442	210	36	λ	λ	NOUN
ejpam-4442	210	37	=	=	NOUN
ejpam-4442	210	38	0.01	0.01	NUM
ejpam-4442	210	39	.	.	PUNCT
ejpam-4442	211	1	shreen	shreen	PROPN
ejpam-4442	211	2	el	el	PROPN
ejpam-4442	211	3	-	-	PUNCT
ejpam-4442	211	4	sapa	sapa	PROPN
ejpam-4442	211	5	/	/	SYM
ejpam-4442	211	6	eur	eur	NOUN
ejpam-4442	211	7	.	.	PUNCT
ejpam-4442	212	1	j.	j.	PROPN
ejpam-4442	212	2	pure	pure	PROPN
ejpam-4442	212	3	appl	appl	PROPN
ejpam-4442	212	4	.	.	PROPN
ejpam-4442	212	5	math	math	PROPN
ejpam-4442	212	6	,	,	PUNCT
ejpam-4442	212	7	15	15	NUM
ejpam-4442	212	8	(	(	PUNCT
ejpam-4442	212	9	3	3	NUM
ejpam-4442	212	10	)	)	PUNCT
ejpam-4442	212	11	(	(	PUNCT
ejpam-4442	212	12	2022	2022	NUM
ejpam-4442	212	13	)	)	PUNCT
ejpam-4442	212	14	,	,	PUNCT
ejpam-4442	212	15	1376	1376	NUM
ejpam-4442	212	16	-	-	SYM
ejpam-4442	212	17	1401	1401	NUM
ejpam-4442	212	18	1391	1391	NUM
ejpam-4442	212	19	(	(	PUNCT
ejpam-4442	212	20	a	a	NOUN
ejpam-4442	212	21	)	)	PUNCT
ejpam-4442	212	22	(	(	PUNCT
ejpam-4442	212	23	b	b	X
ejpam-4442	212	24	)	)	PUNCT
ejpam-4442	212	25	(	(	PUNCT
ejpam-4442	212	26	c	c	X
ejpam-4442	212	27	)	)	PUNCT
ejpam-4442	212	28	(	(	PUNCT
ejpam-4442	212	29	d	d	X
ejpam-4442	212	30	)	)	PUNCT
ejpam-4442	212	31	figure	figure	NOUN
ejpam-4442	212	32	7	7	NUM
ejpam-4442	212	33	:	:	PUNCT
ejpam-4442	212	34	streamlines	streamline	NOUN
ejpam-4442	212	35	distribution	distribution	NOUN
ejpam-4442	212	36	with	with	ADP
ejpam-4442	212	37	various	various	ADJ
ejpam-4442	212	38	parameters	parameter	NOUN
ejpam-4442	212	39	(	(	PUNCT
ejpam-4442	212	40	a),(b	a),(b	PROPN
ejpam-4442	212	41	)	)	PUNCT
ejpam-4442	212	42	η	η	PROPN
ejpam-4442	212	43	=	=	PROPN
ejpam-4442	212	44	0.0	0.0	NUM
ejpam-4442	212	45	,	,	PUNCT
ejpam-4442	212	46	χ	χ	X
ejpam-4442	212	47	=	=	SYM
ejpam-4442	212	48	10.0	10.0	NUM
ejpam-4442	212	49	,	,	PUNCT
ejpam-4442	212	50	α	α	NOUN
ejpam-4442	212	51	=	=	SYM
ejpam-4442	212	52	4.0	4.0	NUM
ejpam-4442	212	53	and	and	CCONJ
ejpam-4442	212	54	(	(	PUNCT
ejpam-4442	212	55	c),(d	c),(d	NOUN
ejpam-4442	212	56	)	)	PUNCT
ejpam-4442	212	57	η	η	NOUN
ejpam-4442	212	58	=	=	PROPN
ejpam-4442	212	59	10.0	10.0	NUM
ejpam-4442	212	60	,	,	PUNCT
ejpam-4442	212	61	λ	λ	X
ejpam-4442	212	62	=	=	NOUN
ejpam-4442	212	63	0.25	0.25	NUM
ejpam-4442	212	64	,	,	PUNCT
ejpam-4442	212	65	α	α	X
ejpam-4442	212	66	=	=	SYM
ejpam-4442	212	67	1.0	1.0	NUM
ejpam-4442	212	68	.	.	PUNCT
ejpam-4442	213	1	shreen	shreen	PROPN
ejpam-4442	213	2	el	el	PROPN
ejpam-4442	213	3	-	-	PUNCT
ejpam-4442	213	4	sapa	sapa	PROPN
ejpam-4442	213	5	/	/	SYM
ejpam-4442	213	6	eur	eur	NOUN
ejpam-4442	213	7	.	.	PUNCT
ejpam-4442	214	1	j.	j.	PROPN
ejpam-4442	214	2	pure	pure	PROPN
ejpam-4442	214	3	appl	appl	PROPN
ejpam-4442	214	4	.	.	PROPN
ejpam-4442	214	5	math	math	PROPN
ejpam-4442	214	6	,	,	PUNCT
ejpam-4442	214	7	15	15	NUM
ejpam-4442	214	8	(	(	PUNCT
ejpam-4442	214	9	3	3	NUM
ejpam-4442	214	10	)	)	PUNCT
ejpam-4442	214	11	(	(	PUNCT
ejpam-4442	214	12	2022	2022	NUM
ejpam-4442	214	13	)	)	PUNCT
ejpam-4442	214	14	,	,	PUNCT
ejpam-4442	214	15	1376	1376	NUM
ejpam-4442	214	16	-	-	SYM
ejpam-4442	214	17	1401	1401	NUM
ejpam-4442	214	18	1392	1392	NUM
ejpam-4442	214	19	(	(	PUNCT
ejpam-4442	214	20	a	a	NOUN
ejpam-4442	214	21	)	)	PUNCT
ejpam-4442	214	22	(	(	PUNCT
ejpam-4442	214	23	b	b	X
ejpam-4442	214	24	)	)	PUNCT
ejpam-4442	214	25	(	(	PUNCT
ejpam-4442	214	26	c	c	X
ejpam-4442	214	27	)	)	PUNCT
ejpam-4442	214	28	(	(	PUNCT
ejpam-4442	214	29	d	d	X
ejpam-4442	214	30	)	)	PUNCT
ejpam-4442	214	31	figure	figure	NOUN
ejpam-4442	214	32	8	8	NUM
ejpam-4442	214	33	:	:	PUNCT
ejpam-4442	214	34	streamlines	streamline	NOUN
ejpam-4442	214	35	distribution	distribution	NOUN
ejpam-4442	214	36	with	with	ADP
ejpam-4442	214	37	various	various	ADJ
ejpam-4442	214	38	parameters	parameter	NOUN
ejpam-4442	214	39	(	(	PUNCT
ejpam-4442	214	40	a),(b	a),(b	NOUN
ejpam-4442	214	41	)	)	PUNCT
ejpam-4442	214	42	λ	λ	NOUN
ejpam-4442	214	43	=	=	NOUN
ejpam-4442	214	44	0.25	0.25	NUM
ejpam-4442	214	45	,	,	PUNCT
ejpam-4442	214	46	χ	χ	X
ejpam-4442	214	47	=	=	SYM
ejpam-4442	214	48	1.0	1.0	NUM
ejpam-4442	214	49	,	,	PUNCT
ejpam-4442	214	50	α	α	X
ejpam-4442	214	51	=	=	SYM
ejpam-4442	214	52	5.0	5.0	NUM
ejpam-4442	214	53	and	and	CCONJ
ejpam-4442	214	54	(	(	PUNCT
ejpam-4442	214	55	c),(d	c),(d	NOUN
ejpam-4442	214	56	)	)	PUNCT
ejpam-4442	214	57	χ	χ	NOUN
ejpam-4442	215	1	=	=	SYM
ejpam-4442	215	2	1.0	1.0	NUM
ejpam-4442	215	3	,	,	PUNCT
ejpam-4442	215	4	λ	λ	X
ejpam-4442	215	5	=	=	NOUN
ejpam-4442	215	6	0.1	0.1	NUM
ejpam-4442	215	7	,	,	PUNCT
ejpam-4442	215	8	α	α	X
ejpam-4442	215	9	=	=	SYM
ejpam-4442	215	10	1.0	1.0	NUM
ejpam-4442	215	11	.	.	PUNCT
ejpam-4442	216	1	shreen	shreen	PROPN
ejpam-4442	216	2	el	el	PROPN
ejpam-4442	216	3	-	-	PUNCT
ejpam-4442	216	4	sapa	sapa	PROPN
ejpam-4442	216	5	/	/	SYM
ejpam-4442	216	6	eur	eur	NOUN
ejpam-4442	216	7	.	.	PUNCT
ejpam-4442	217	1	j.	j.	PROPN
ejpam-4442	217	2	pure	pure	PROPN
ejpam-4442	217	3	appl	appl	PROPN
ejpam-4442	217	4	.	.	PROPN
ejpam-4442	217	5	math	math	PROPN
ejpam-4442	217	6	,	,	PUNCT
ejpam-4442	217	7	15	15	NUM
ejpam-4442	217	8	(	(	PUNCT
ejpam-4442	217	9	3	3	NUM
ejpam-4442	217	10	)	)	PUNCT
ejpam-4442	217	11	(	(	PUNCT
ejpam-4442	217	12	2022	2022	NUM
ejpam-4442	217	13	)	)	PUNCT
ejpam-4442	217	14	,	,	PUNCT
ejpam-4442	217	15	1376	1376	NUM
ejpam-4442	217	16	-	-	SYM
ejpam-4442	217	17	1401	1401	NUM
ejpam-4442	217	18	1393	1393	NUM
ejpam-4442	217	19	(	(	PUNCT
ejpam-4442	217	20	a	a	NOUN
ejpam-4442	217	21	)	)	PUNCT
ejpam-4442	217	22	(	(	PUNCT
ejpam-4442	217	23	b	b	X
ejpam-4442	217	24	)	)	PUNCT
ejpam-4442	217	25	(	(	PUNCT
ejpam-4442	217	26	c	c	X
ejpam-4442	217	27	)	)	PUNCT
ejpam-4442	217	28	(	(	PUNCT
ejpam-4442	217	29	d	d	X
ejpam-4442	217	30	)	)	PUNCT
ejpam-4442	217	31	figure	figure	NOUN
ejpam-4442	217	32	9	9	NUM
ejpam-4442	217	33	:	:	PUNCT
ejpam-4442	217	34	streamlines	streamline	NOUN
ejpam-4442	217	35	distribution	distribution	NOUN
ejpam-4442	217	36	with	with	ADP
ejpam-4442	217	37	various	various	ADJ
ejpam-4442	217	38	parameters	parameter	NOUN
ejpam-4442	217	39	(	(	PUNCT
ejpam-4442	217	40	a),(b	a),(b	NOUN
ejpam-4442	217	41	)	)	PUNCT
ejpam-4442	217	42	λ	λ	NOUN
ejpam-4442	217	43	=	=	NOUN
ejpam-4442	217	44	0.9	0.9	NUM
ejpam-4442	217	45	,	,	PUNCT
ejpam-4442	217	46	χ	χ	X
ejpam-4442	217	47	=	=	SYM
ejpam-4442	217	48	1.0	1.0	NUM
ejpam-4442	217	49	,	,	PUNCT
ejpam-4442	217	50	α	α	X
ejpam-4442	217	51	=	=	SYM
ejpam-4442	217	52	10.0	10.0	NUM
ejpam-4442	217	53	and	and	CCONJ
ejpam-4442	217	54	(	(	PUNCT
ejpam-4442	217	55	c),(d	c),(d	NOUN
ejpam-4442	217	56	)	)	PUNCT
ejpam-4442	217	57	λ	λ	NOUN
ejpam-4442	217	58	=	=	NOUN
ejpam-4442	217	59	0.9	0.9	NUM
ejpam-4442	217	60	,	,	PUNCT
ejpam-4442	217	61	χ	χ	X
ejpam-4442	217	62	=	=	SYM
ejpam-4442	217	63	1.0	1.0	NUM
ejpam-4442	217	64	,	,	PUNCT
ejpam-4442	217	65	α	α	X
ejpam-4442	217	66	=	=	SYM
ejpam-4442	217	67	1.0	1.0	NUM
ejpam-4442	217	68	.	.	PUNCT
ejpam-4442	218	1	shreen	shreen	PROPN
ejpam-4442	218	2	el	el	PROPN
ejpam-4442	218	3	-	-	PUNCT
ejpam-4442	218	4	sapa	sapa	PROPN
ejpam-4442	218	5	/	/	SYM
ejpam-4442	218	6	eur	eur	NOUN
ejpam-4442	218	7	.	.	PUNCT
ejpam-4442	219	1	j.	j.	PROPN
ejpam-4442	219	2	pure	pure	PROPN
ejpam-4442	219	3	appl	appl	PROPN
ejpam-4442	219	4	.	.	PROPN
ejpam-4442	219	5	math	math	PROPN
ejpam-4442	219	6	,	,	PUNCT
ejpam-4442	219	7	15	15	NUM
ejpam-4442	219	8	(	(	PUNCT
ejpam-4442	219	9	3	3	NUM
ejpam-4442	219	10	)	)	PUNCT
ejpam-4442	219	11	(	(	PUNCT
ejpam-4442	219	12	2022	2022	NUM
ejpam-4442	219	13	)	)	PUNCT
ejpam-4442	219	14	,	,	PUNCT
ejpam-4442	219	15	1376	1376	NUM
ejpam-4442	219	16	-	-	SYM
ejpam-4442	219	17	1401	1401	NUM
ejpam-4442	219	18	1394	1394	NUM
ejpam-4442	219	19	figure	figure	NOUN
ejpam-4442	219	20	10	10	NUM
ejpam-4442	219	21	:	:	PUNCT
ejpam-4442	219	22	phase	phase	NOUN
ejpam-4442	219	23	angle	angle	NOUN
ejpam-4442	219	24	for	for	ADP
ejpam-4442	219	25	various	various	ADJ
ejpam-4442	219	26	parameters	parameter	NOUN
ejpam-4442	219	27	of	of	ADP
ejpam-4442	219	28	the	the	DET
ejpam-4442	219	29	frequency	frequency	NOUN
ejpam-4442	219	30	and	and	CCONJ
ejpam-4442	219	31	slip	slip	NOUN
ejpam-4442	219	32	.	.	PUNCT
ejpam-4442	220	1	furthermore	furthermore	ADV
ejpam-4442	220	2	,	,	PUNCT
ejpam-4442	220	3	fig	fig	NOUN
ejpam-4442	220	4	.	.	PUNCT
ejpam-4442	220	5	5	5	NUM
ejpam-4442	220	6	shows	show	VERB
ejpam-4442	220	7	that	that	SCONJ
ejpam-4442	220	8	for	for	ADP
ejpam-4442	220	9	increases	increase	NOUN
ejpam-4442	220	10	of	of	ADP
ejpam-4442	220	11	the	the	DET
ejpam-4442	220	12	slip	slip	NOUN
ejpam-4442	220	13	for	for	ADP
ejpam-4442	220	14	values	value	NOUN
ejpam-4442	220	15	,	,	PUNCT
ejpam-4442	220	16	η	η	PROPN
ejpam-4442	220	17	=	=	PROPN
ejpam-4442	220	18	0	0	NUM
ejpam-4442	220	19	,	,	PUNCT
ejpam-4442	220	20	1	1	NUM
ejpam-4442	220	21	,	,	PUNCT
ejpam-4442	220	22	4	4	NUM
ejpam-4442	220	23	,	,	PUNCT
ejpam-4442	220	24	10	10	NUM
ejpam-4442	220	25	the	the	DET
ejpam-4442	220	26	magnitude	magnitude	NOUN
ejpam-4442	220	27	of	of	ADP
ejpam-4442	220	28	drag	drag	NOUN
ejpam-4442	220	29	force	force	NOUN
ejpam-4442	220	30	decreases	decrease	VERB
ejpam-4442	220	31	at	at	ADP
ejpam-4442	220	32	λ	λ	NOUN
ejpam-4442	220	33	=	=	NOUN
ejpam-4442	220	34	0.01	0.01	NUM
ejpam-4442	220	35	.	.	PUNCT
ejpam-4442	221	1	it	it	PRON
ejpam-4442	221	2	is	be	AUX
ejpam-4442	221	3	obvious	obvious	ADJ
ejpam-4442	221	4	that	that	SCONJ
ejpam-4442	221	5	for	for	ADP
ejpam-4442	221	6	no	no	DET
ejpam-4442	221	7	slip	slip	NOUN
ejpam-4442	221	8	it	it	PRON
ejpam-4442	221	9	gives	give	VERB
ejpam-4442	221	10	the	the	DET
ejpam-4442	221	11	limiting	limit	VERB
ejpam-4442	221	12	case	case	NOUN
ejpam-4442	221	13	,	,	PUNCT
ejpam-4442	221	14	|f	|f	PROPN
ejpam-4442	221	15	/	/	SYM
ejpam-4442	221	16	f∞|	f∞|	PROPN
ejpam-4442	221	17	→	→	SYM
ejpam-4442	221	18	1	1	NUM
ejpam-4442	221	19	as	as	SCONJ
ejpam-4442	221	20	known	know	VERB
ejpam-4442	221	21	in	in	ADP
ejpam-4442	221	22	the	the	DET
ejpam-4442	221	23	literature	literature	NOUN
ejpam-4442	221	24	.	.	PUNCT
ejpam-4442	222	1	moreover	moreover	ADV
ejpam-4442	222	2	,	,	PUNCT
ejpam-4442	222	3	fig.6	fig.6	VERB
ejpam-4442	222	4	exhibits	exhibit	VERB
ejpam-4442	222	5	that	that	SCONJ
ejpam-4442	222	6	the	the	DET
ejpam-4442	222	7	magnitude	magnitude	NOUN
ejpam-4442	222	8	of	of	ADP
ejpam-4442	222	9	drag	drag	NOUN
ejpam-4442	222	10	force	force	NOUN
ejpam-4442	222	11	decreases	decrease	VERB
ejpam-4442	222	12	with	with	ADP
ejpam-4442	222	13	increases	increase	NOUN
ejpam-4442	222	14	of	of	ADP
ejpam-4442	222	15	the	the	DET
ejpam-4442	222	16	slip	slip	NOUN
ejpam-4442	222	17	it	it	PRON
ejpam-4442	222	18	raises	raise	VERB
ejpam-4442	222	19	for	for	ADP
ejpam-4442	222	20	a	a	DET
ejpam-4442	222	21	high	high	ADJ
ejpam-4442	222	22	level	level	NOUN
ejpam-4442	222	23	at	at	ADP
ejpam-4442	222	24	zero	zero	NUM
ejpam-4442	222	25	magnetic	magnetic	ADJ
ejpam-4442	222	26	fields	field	NOUN
ejpam-4442	222	27	which	which	PRON
ejpam-4442	222	28	is	be	AUX
ejpam-4442	222	29	represented	represent	VERB
ejpam-4442	222	30	by	by	ADP
ejpam-4442	222	31	the	the	DET
ejpam-4442	222	32	solid	solid	ADJ
ejpam-4442	222	33	line	line	NOUN
ejpam-4442	222	34	and	and	CCONJ
ejpam-4442	222	35	then	then	ADV
ejpam-4442	222	36	intersected	intersect	VERB
ejpam-4442	222	37	with	with	ADP
ejpam-4442	222	38	the	the	DET
ejpam-4442	222	39	other	other	ADJ
ejpam-4442	222	40	curves	curve	NOUN
ejpam-4442	222	41	at	at	ADP
ejpam-4442	222	42	the	the	DET
ejpam-4442	222	43	point	point	NOUN
ejpam-4442	222	44	(	(	PUNCT
ejpam-4442	222	45	1.8	1.8	NUM
ejpam-4442	222	46	,	,	PUNCT
ejpam-4442	222	47	0.48	0.48	NUM
ejpam-4442	222	48	)	)	PUNCT
ejpam-4442	222	49	for	for	ADP
ejpam-4442	222	50	low	low	ADJ
ejpam-4442	222	51	frequency	frequency	NOUN
ejpam-4442	222	52	and	and	CCONJ
ejpam-4442	222	53	again	again	ADV
ejpam-4442	222	54	decay	decay	VERB
ejpam-4442	222	55	for	for	ADP
ejpam-4442	222	56	high	high	ADJ
ejpam-4442	222	57	frequency	frequency	NOUN
ejpam-4442	222	58	for	for	ADP
ejpam-4442	222	59	increasing	increase	VERB
ejpam-4442	222	60	of	of	ADP
ejpam-4442	222	61	values	value	NOUN
ejpam-4442	222	62	of	of	ADP
ejpam-4442	222	63	the	the	DET
ejpam-4442	222	64	magnetic	magnetic	ADJ
ejpam-4442	222	65	parameter	parameter	NOUN
ejpam-4442	222	66	at	at	ADP
ejpam-4442	222	67	λ	λ	X
ejpam-4442	222	68	=	=	NOUN
ejpam-4442	222	69	0.01	0.01	NUM
ejpam-4442	222	70	.	.	PUNCT
ejpam-4442	223	1	steady	steady	ADJ
ejpam-4442	223	2	streaming	streaming	NOUN
ejpam-4442	223	3	flows	flow	NOUN
ejpam-4442	223	4	due	due	ADJ
ejpam-4442	223	5	to	to	ADP
ejpam-4442	223	6	the	the	DET
ejpam-4442	223	7	motion	motion	NOUN
ejpam-4442	223	8	of	of	ADP
ejpam-4442	223	9	an	an	DET
ejpam-4442	223	10	oscillating	oscillating	NOUN
ejpam-4442	223	11	sphere	sphere	NOUN
ejpam-4442	223	12	in	in	ADP
ejpam-4442	223	13	a	a	DET
ejpam-4442	223	14	magnetic	magnetic	ADJ
ejpam-4442	223	15	viscous	viscous	ADJ
ejpam-4442	223	16	fluid	fluid	NOUN
ejpam-4442	223	17	are	be	AUX
ejpam-4442	223	18	responsible	responsible	ADJ
ejpam-4442	223	19	for	for	ADP
ejpam-4442	223	20	a	a	DET
ejpam-4442	223	21	wide	wide	ADJ
ejpam-4442	223	22	range	range	NOUN
ejpam-4442	223	23	of	of	ADP
ejpam-4442	223	24	fluid	fluid	ADJ
ejpam-4442	223	25	phenomena	phenomenon	NOUN
ejpam-4442	223	26	.	.	PUNCT
ejpam-4442	224	1	on	on	ADP
ejpam-4442	224	2	the	the	DET
ejpam-4442	224	3	other	other	ADJ
ejpam-4442	224	4	side	side	NOUN
ejpam-4442	224	5	,	,	PUNCT
ejpam-4442	224	6	fig	fig	NOUN
ejpam-4442	224	7	.	.	PUNCT
ejpam-4442	225	1	7	7	NUM
ejpam-4442	225	2	-	-	SYM
ejpam-4442	225	3	9	9	NUM
ejpam-4442	225	4	gives	give	VERB
ejpam-4442	225	5	the	the	DET
ejpam-4442	225	6	streamlines	streamline	NOUN
ejpam-4442	225	7	for	for	ADP
ejpam-4442	225	8	the	the	DET
ejpam-4442	225	9	stream	stream	NOUN
ejpam-4442	225	10	function	function	NOUN
ejpam-4442	225	11	which	which	PRON
ejpam-4442	225	12	can	can	AUX
ejpam-4442	225	13	fully	fully	ADV
ejpam-4442	225	14	describe	describe	VERB
ejpam-4442	225	15	the	the	DET
ejpam-4442	225	16	variations	variation	NOUN
ejpam-4442	225	17	of	of	ADP
ejpam-4442	225	18	the	the	DET
ejpam-4442	225	19	flow	flow	NOUN
ejpam-4442	225	20	pattern	pattern	NOUN
ejpam-4442	225	21	for	for	ADP
ejpam-4442	225	22	different	different	ADJ
ejpam-4442	225	23	values	value	NOUN
ejpam-4442	225	24	of	of	ADP
ejpam-4442	225	25	slip	slip	NOUN
ejpam-4442	225	26	,	,	PUNCT
ejpam-4442	225	27	magnetic	magnetic	ADJ
ejpam-4442	225	28	,	,	PUNCT
ejpam-4442	225	29	separation	separation	NOUN
ejpam-4442	225	30	,	,	PUNCT
ejpam-4442	225	31	and	and	CCONJ
ejpam-4442	225	32	frequency	frequency	NOUN
ejpam-4442	225	33	parameters	parameter	NOUN
ejpam-4442	225	34	.	.	PUNCT
ejpam-4442	226	1	also	also	ADV
ejpam-4442	226	2	,	,	PUNCT
ejpam-4442	226	3	the	the	DET
ejpam-4442	226	4	figures	figure	NOUN
ejpam-4442	226	5	describe	describe	VERB
ejpam-4442	226	6	the	the	DET
ejpam-4442	226	7	detailed	detailed	ADJ
ejpam-4442	226	8	structure	structure	NOUN
ejpam-4442	226	9	of	of	ADP
ejpam-4442	226	10	the	the	DET
ejpam-4442	226	11	streamline	streamline	NOUN
ejpam-4442	226	12	pattern	pattern	NOUN
ejpam-4442	226	13	.	.	PUNCT
ejpam-4442	227	1	eventually	eventually	ADV
ejpam-4442	227	2	,	,	PUNCT
ejpam-4442	227	3	the	the	DET
ejpam-4442	227	4	comparison	comparison	NOUN
ejpam-4442	227	5	shows	show	VERB
ejpam-4442	227	6	an	an	DET
ejpam-4442	227	7	excellent	excellent	ADJ
ejpam-4442	227	8	agreement	agreement	NOUN
ejpam-4442	227	9	with	with	ADP
ejpam-4442	227	10	the	the	DET
ejpam-4442	227	11	previous	previous	ADJ
ejpam-4442	227	12	work	work	NOUN
ejpam-4442	227	13	of	of	ADP
ejpam-4442	227	14	[	[	X
ejpam-4442	227	15	41	41	NUM
ejpam-4442	227	16	]	]	PUNCT
ejpam-4442	227	17	.	.	PUNCT
ejpam-4442	228	1	accordingly	accordingly	ADV
ejpam-4442	228	2	,	,	PUNCT
ejpam-4442	228	3	the	the	DET
ejpam-4442	228	4	streamlines	streamline	NOUN
ejpam-4442	228	5	of	of	ADP
ejpam-4442	228	6	the	the	DET
ejpam-4442	228	7	flow	flow	NOUN
ejpam-4442	228	8	around	around	ADP
ejpam-4442	228	9	the	the	DET
ejpam-4442	228	10	oscillating	oscillating	NOUN
ejpam-4442	228	11	sphere	sphere	NOUN
ejpam-4442	228	12	are	be	AUX
ejpam-4442	228	13	very	very	ADV
ejpam-4442	228	14	closed	closed	ADJ
ejpam-4442	228	15	to	to	ADP
ejpam-4442	228	16	the	the	DET
ejpam-4442	228	17	sphere	sphere	NOUN
ejpam-4442	228	18	and	and	CCONJ
ejpam-4442	228	19	translate	translate	VERB
ejpam-4442	228	20	separately	separately	ADV
ejpam-4442	228	21	as	as	ADP
ejpam-4442	228	22	one	one	NUM
ejpam-4442	228	23	sphere	sphere	NOUN
ejpam-4442	228	24	at	at	ADP
ejpam-4442	228	25	λ	λ	X
ejpam-4442	228	26	=	=	NOUN
ejpam-4442	228	27	0.1	0.1	NUM
ejpam-4442	228	28	.	.	PUNCT
ejpam-4442	229	1	the	the	DET
ejpam-4442	229	2	interaction	interaction	NOUN
ejpam-4442	229	3	appears	appear	VERB
ejpam-4442	229	4	at	at	ADP
ejpam-4442	229	5	the	the	DET
ejpam-4442	229	6	oscillating	oscillating	NOUN
ejpam-4442	229	7	sphere	sphere	NOUN
ejpam-4442	229	8	near	near	ADP
ejpam-4442	229	9	the	the	DET
ejpam-4442	229	10	rigid	rigid	ADJ
ejpam-4442	229	11	wall	wall	NOUN
ejpam-4442	229	12	at	at	ADP
ejpam-4442	229	13	λ	λ	X
ejpam-4442	229	14	=	=	NOUN
ejpam-4442	229	15	0.6	0.6	NUM
ejpam-4442	229	16	.	.	PUNCT
ejpam-4442	230	1	the	the	DET
ejpam-4442	230	2	streamlines	streamline	NOUN
ejpam-4442	230	3	start	start	VERB
ejpam-4442	230	4	from	from	ADP
ejpam-4442	230	5	no	no	DET
ejpam-4442	230	6	-	-	PUNCT
ejpam-4442	230	7	slip	slip	NOUN
ejpam-4442	230	8	,	,	PUNCT
ejpam-4442	230	9	η	η	PROPN
ejpam-4442	230	10	=	=	PROPN
ejpam-4442	230	11	0.0	0.0	NUM
ejpam-4442	230	12	close	close	ADV
ejpam-4442	230	13	to	to	ADP
ejpam-4442	230	14	the	the	DET
ejpam-4442	230	15	sphere	sphere	NOUN
ejpam-4442	230	16	,	,	PUNCT
ejpam-4442	230	17	and	and	CCONJ
ejpam-4442	230	18	gradually	gradually	ADV
ejpam-4442	230	19	close	close	ADJ
ejpam-4442	230	20	at	at	ADP
ejpam-4442	230	21	the	the	DET
ejpam-4442	230	22	partial	partial	ADJ
ejpam-4442	230	23	slip	slip	NOUN
ejpam-4442	230	24	,	,	PUNCT
ejpam-4442	230	25	η	η	PROPN
ejpam-4442	230	26	=	=	PROPN
ejpam-4442	230	27	1.0	1.0	NUM
ejpam-4442	230	28	,	,	PUNCT
ejpam-4442	230	29	10.0	10.0	NUM
ejpam-4442	230	30	to	to	PART
ejpam-4442	230	31	reach	reach	VERB
ejpam-4442	230	32	finally	finally	ADV
ejpam-4442	230	33	very	very	ADV
ejpam-4442	230	34	closed	closed	ADJ
ejpam-4442	230	35	at	at	ADP
ejpam-4442	230	36	the	the	DET
ejpam-4442	230	37	perfect	perfect	ADJ
ejpam-4442	230	38	slip	slip	NOUN
ejpam-4442	230	39	,	,	PUNCT
ejpam-4442	230	40	η	η	PROPN
ejpam-4442	230	41	→	→	PROPN
ejpam-4442	230	42	∞.	∞.	PROPN
ejpam-4442	230	43	fig	fig	NOUN
ejpam-4442	230	44	.	.	PUNCT
ejpam-4442	231	1	10	10	NUM
ejpam-4442	231	2	represent	represent	VERB
ejpam-4442	231	3	the	the	DET
ejpam-4442	231	4	phase	phase	NOUN
ejpam-4442	231	5	angle	angle	NOUN
ejpam-4442	231	6	for	for	ADP
ejpam-4442	231	7	various	various	ADJ
ejpam-4442	231	8	parameters	parameter	NOUN
ejpam-4442	231	9	of	of	ADP
ejpam-4442	231	10	the	the	DET
ejpam-4442	231	11	frequency	frequency	NOUN
ejpam-4442	231	12	and	and	CCONJ
ejpam-4442	231	13	slip	slip	NOUN
ejpam-4442	231	14	.	.	PUNCT
ejpam-4442	232	1	shreen	shreen	PROPN
ejpam-4442	232	2	el	el	PROPN
ejpam-4442	232	3	-	-	PUNCT
ejpam-4442	232	4	sapa	sapa	PROPN
ejpam-4442	232	5	/	/	SYM
ejpam-4442	232	6	eur	eur	NOUN
ejpam-4442	232	7	.	.	PUNCT
ejpam-4442	233	1	j.	j.	PROPN
ejpam-4442	233	2	pure	pure	PROPN
ejpam-4442	233	3	appl	appl	PROPN
ejpam-4442	233	4	.	.	PROPN
ejpam-4442	233	5	math	math	PROPN
ejpam-4442	233	6	,	,	PUNCT
ejpam-4442	233	7	15	15	NUM
ejpam-4442	233	8	(	(	PUNCT
ejpam-4442	233	9	3	3	NUM
ejpam-4442	233	10	)	)	PUNCT
ejpam-4442	233	11	(	(	PUNCT
ejpam-4442	233	12	2022	2022	NUM
ejpam-4442	233	13	)	)	PUNCT
ejpam-4442	233	14	,	,	PUNCT
ejpam-4442	233	15	1376	1376	NUM
ejpam-4442	233	16	-	-	SYM
ejpam-4442	233	17	1401	1401	NUM
ejpam-4442	233	18	1395	1395	NUM
ejpam-4442	233	19	table	table	NOUN
ejpam-4442	233	20	1	1	NUM
ejpam-4442	233	21	:	:	PUNCT
ejpam-4442	233	22	magnitude	magnitude	NOUN
ejpam-4442	233	23	normalized	normalize	VERB
ejpam-4442	233	24	drag	drag	NOUN
ejpam-4442	233	25	force	force	NOUN
ejpam-4442	233	26	versus	versus	ADP
ejpam-4442	233	27	at	at	ADP
ejpam-4442	233	28	different	different	ADJ
ejpam-4442	233	29	slip	slip	NOUN
ejpam-4442	233	30	,	,	PUNCT
ejpam-4442	233	31	magnetic	magnetic	ADJ
ejpam-4442	233	32	,	,	PUNCT
ejpam-4442	233	33	separation	separation	NOUN
ejpam-4442	233	34	and	and	CCONJ
ejpam-4442	233	35	frequency	frequency	NOUN
ejpam-4442	233	36	parameters	parameter	NOUN
ejpam-4442	233	37	.	.	PUNCT
ejpam-4442	234	1	χ	χ	X
ejpam-4442	235	1	=	=	SYM
ejpam-4442	235	2	1.0	1.0	NUM
ejpam-4442	235	3	χ	χ	NOUN
ejpam-4442	235	4	=	=	SYM
ejpam-4442	235	5	4.0	4.0	NUM
ejpam-4442	235	6	α	α	NOUN
ejpam-4442	235	7	η	η	PROPN
ejpam-4442	235	8	λ	λ	PROPN
ejpam-4442	235	9	=	=	SYM
ejpam-4442	235	10	0.001	0.001	NUM
ejpam-4442	235	11	λ	λ	X
ejpam-4442	235	12	=	=	SYM
ejpam-4442	235	13	0.1	0.1	NUM
ejpam-4442	235	14	λ	λ	NOUN
ejpam-4442	235	15	=	=	NOUN
ejpam-4442	235	16	0.25	0.25	NUM
ejpam-4442	235	17	λ	λ	NOUN
ejpam-4442	235	18	=	=	SYM
ejpam-4442	235	19	0.001	0.001	NUM
ejpam-4442	235	20	λ	λ	X
ejpam-4442	235	21	=	=	SYM
ejpam-4442	235	22	0.1	0.1	NUM
ejpam-4442	235	23	λ	λ	NOUN
ejpam-4442	235	24	=	=	NOUN
ejpam-4442	235	25	0.25	0.25	NUM
ejpam-4442	235	26	0.0	0.0	NUM
ejpam-4442	235	27	0.0	0.0	NUM
ejpam-4442	235	28	1.00000	1.00000	NUM
ejpam-4442	235	29	0.99954	0.99954	NUM
ejpam-4442	235	30	0.97001	0.97001	NUM
ejpam-4442	235	31	1.00000	1.00000	NUM
ejpam-4442	235	32	1.00010	1.00010	NUM
ejpam-4442	235	33	1.00061	1.00061	NUM
ejpam-4442	235	34	2.0	2.0	NUM
ejpam-4442	235	35	0.58794	0.58794	NUM
ejpam-4442	235	36	0.58769	0.58769	NUM
ejpam-4442	235	37	0.57173	0.57173	NUM
ejpam-4442	235	38	0.45466	0.45466	NUM
ejpam-4442	235	39	0.45469	0.45469	NUM
ejpam-4442	235	40	0.45394	0.45394	NUM
ejpam-4442	235	41	4.0	4.0	NUM
ejpam-4442	235	42	0.56184	0.56184	NUM
ejpam-4442	235	43	0.56160	0.56160	NUM
ejpam-4442	235	44	0.54642	0.54642	NUM
ejpam-4442	235	45	0.43682	0.43682	NUM
ejpam-4442	235	46	0.43684	0.43684	NUM
ejpam-4442	235	47	0.43607	0.43607	NUM
ejpam-4442	235	48	6.0	6.0	NUM
ejpam-4442	235	49	0.55240	0.55240	NUM
ejpam-4442	235	50	0.55217	0.55217	NUM
ejpam-4442	235	51	0.53726	0.53726	NUM
ejpam-4442	235	52	0.43072	0.43072	NUM
ejpam-4442	235	53	0.43075	0.43075	NUM
ejpam-4442	235	54	0.42997	0.42997	NUM
ejpam-4442	235	55	8.0	8.0	NUM
ejpam-4442	235	56	0.54753	0.54753	NUM
ejpam-4442	235	57	0.54730	0.54730	NUM
ejpam-4442	235	58	0.53253	0.53253	NUM
ejpam-4442	235	59	0.42765	0.42765	NUM
ejpam-4442	235	60	0.42768	0.42768	NUM
ejpam-4442	235	61	0.42690	0.42690	NUM
ejpam-4442	235	62	10.0	10.0	NUM
ejpam-4442	235	63	0.54456	0.54456	NUM
ejpam-4442	235	64	0.54433	0.54433	NUM
ejpam-4442	235	65	0.52965	0.52965	NUM
ejpam-4442	235	66	0.42580	0.42580	NUM
ejpam-4442	235	67	0.42582	0.42582	NUM
ejpam-4442	235	68	0.42504	0.42504	NUM
ejpam-4442	235	69	2.0	2.0	NUM
ejpam-4442	235	70	0.0	0.0	NUM
ejpam-4442	235	71	1.00000	1.00000	NUM
ejpam-4442	235	72	0.99914	0.99914	NUM
ejpam-4442	235	73	0.96376	0.96376	NUM
ejpam-4442	235	74	1.00000	1.00000	NUM
ejpam-4442	235	75	0.99993	0.99993	NUM
ejpam-4442	235	76	0.99258	0.99258	NUM
ejpam-4442	235	77	2.0	2.0	NUM
ejpam-4442	235	78	0.52345	0.52345	NUM
ejpam-4442	236	1	0.52306	0.52306	NUM
ejpam-4442	236	2	0.50699	0.50699	NUM
ejpam-4442	236	3	0.47133	0.47133	NUM
ejpam-4442	236	4	0.47127	0.47127	NUM
ejpam-4442	236	5	0.46649	0.46649	NUM
ejpam-4442	236	6	4.0	4.0	NUM
ejpam-4442	236	7	0.50084	0.50084	NUM
ejpam-4442	236	8	0.50047	0.50047	NUM
ejpam-4442	236	9	0.48515	0.48515	NUM
ejpam-4442	236	10	0.45401	0.45401	NUM
ejpam-4442	236	11	0.45395	0.45395	NUM
ejpam-4442	236	12	0.44924	0.44924	NUM
ejpam-4442	236	13	6.0	6.0	NUM
ejpam-4442	236	14	0.49283	0.49283	NUM
ejpam-4442	236	15	0.49246	0.49246	NUM
ejpam-4442	236	16	0.47739	0.47739	NUM
ejpam-4442	236	17	0.44806	0.44806	NUM
ejpam-4442	236	18	0.44800	0.44800	NUM
ejpam-4442	236	19	0.44332	0.44332	NUM
ejpam-4442	236	20	8.0	8.0	NUM
ejpam-4442	236	21	0.48872	0.48872	NUM
ejpam-4442	236	22	0.48836	0.48836	NUM
ejpam-4442	236	23	0.47342	0.47342	NUM
ejpam-4442	236	24	0.44505	0.44505	NUM
ejpam-4442	236	25	0.44499	0.44499	NUM
ejpam-4442	236	26	0.44032	0.44032	NUM
ejpam-4442	236	27	10.0	10.0	NUM
ejpam-4442	236	28	0.48623	0.48623	NUM
ejpam-4442	236	29	0.48586	0.48586	NUM
ejpam-4442	236	30	0.47101	0.47101	NUM
ejpam-4442	236	31	0.44324	0.44324	NUM
ejpam-4442	236	32	0.44318	0.44318	NUM
ejpam-4442	236	33	0.43851	0.43851	NUM
ejpam-4442	236	34	10.0	10.0	NUM
ejpam-4442	236	35	0.0	0.0	NUM
ejpam-4442	236	36	1.00000	1.00000	NUM
ejpam-4442	236	37	0.99588	0.99588	NUM
ejpam-4442	236	38	0.88678	0.88678	NUM
ejpam-4442	236	39	1.00000	1.00000	NUM
ejpam-4442	236	40	0.99753	0.99753	NUM
ejpam-4442	236	41	0.91583	0.91583	NUM
ejpam-4442	236	42	2.0	2.0	NUM
ejpam-4442	236	43	0.51749	0.51749	NUM
ejpam-4442	236	44	0.51548	0.51548	NUM
ejpam-4442	236	45	0.45703	0.45703	NUM
ejpam-4442	236	46	0.51707	0.51707	NUM
ejpam-4442	236	47	0.51574	0.51574	NUM
ejpam-4442	236	48	0.47014	0.47014	NUM
ejpam-4442	236	49	4.0	4.0	NUM
ejpam-4442	236	50	0.50287	0.50287	NUM
ejpam-4442	236	51	0.50092	0.50092	NUM
ejpam-4442	236	52	0.44384	0.44384	NUM
ejpam-4442	236	53	0.50352	0.50352	NUM
ejpam-4442	236	54	0.50222	0.50222	NUM
ejpam-4442	236	55	0.45750	0.45750	NUM
ejpam-4442	236	56	6.0	6.0	NUM
ejpam-4442	236	57	0.49780	0.49780	NUM
ejpam-4442	236	58	0.49586	0.49586	NUM
ejpam-4442	236	59	0.43926	0.43926	NUM
ejpam-4442	236	60	0.49885	0.49885	NUM
ejpam-4442	236	61	0.49756	0.49756	NUM
ejpam-4442	236	62	0.45313	0.45313	NUM
ejpam-4442	236	63	8.0	8.0	NUM
ejpam-4442	236	64	0.49523	0.49523	NUM
ejpam-4442	236	65	0.49330	0.49330	NUM
ejpam-4442	236	66	0.43693	0.43693	NUM
ejpam-4442	236	67	0.49649	0.49649	NUM
ejpam-4442	236	68	0.49520	0.49520	NUM
ejpam-4442	236	69	0.45092	0.45092	NUM
ejpam-4442	236	70	10.0	10.0	NUM
ejpam-4442	236	71	0.49367	0.49367	NUM
ejpam-4442	237	1	0.49175	0.49175	NUM
ejpam-4442	237	2	0.43552	0.43552	NUM
ejpam-4442	237	3	0.49506	0.49506	NUM
ejpam-4442	237	4	0.49377	0.49377	NUM
ejpam-4442	237	5	0.44958	0.44958	NUM
ejpam-4442	237	6	6	6	NUM
ejpam-4442	237	7	.	.	PUNCT
ejpam-4442	238	1	conclusion	conclusion	VERB
ejpam-4442	238	2	the	the	DET
ejpam-4442	238	3	main	main	ADJ
ejpam-4442	238	4	physical	physical	ADJ
ejpam-4442	238	5	theme	theme	NOUN
ejpam-4442	238	6	has	have	AUX
ejpam-4442	238	7	been	be	AUX
ejpam-4442	238	8	the	the	DET
ejpam-4442	238	9	remarkable	remarkable	ADJ
ejpam-4442	238	10	way	way	NOUN
ejpam-4442	238	11	in	in	ADP
ejpam-4442	238	12	which	which	PRON
ejpam-4442	238	13	the	the	DET
ejpam-4442	238	14	boundary	boundary	ADJ
ejpam-4442	238	15	conditions	condition	NOUN
ejpam-4442	238	16	extend	extend	VERB
ejpam-4442	238	17	to	to	PART
ejpam-4442	238	18	include	include	VERB
ejpam-4442	238	19	the	the	DET
ejpam-4442	238	20	slip	slip	NOUN
ejpam-4442	238	21	influence	influence	NOUN
ejpam-4442	238	22	with	with	ADP
ejpam-4442	238	23	the	the	DET
ejpam-4442	238	24	existence	existence	NOUN
ejpam-4442	238	25	of	of	ADP
ejpam-4442	238	26	the	the	DET
ejpam-4442	238	27	magnetic	magnetic	ADJ
ejpam-4442	238	28	fields	field	NOUN
ejpam-4442	238	29	and	and	CCONJ
ejpam-4442	238	30	their	their	PRON
ejpam-4442	238	31	effects	effect	NOUN
ejpam-4442	238	32	on	on	ADP
ejpam-4442	238	33	the	the	DET
ejpam-4442	238	34	magnitude	magnitude	NOUN
ejpam-4442	238	35	of	of	ADP
ejpam-4442	238	36	the	the	DET
ejpam-4442	238	37	normalized	normalize	VERB
ejpam-4442	238	38	drag	drag	NOUN
ejpam-4442	238	39	force	force	NOUN
ejpam-4442	238	40	and	and	CCONJ
ejpam-4442	238	41	streamlines	streamline	NOUN
ejpam-4442	238	42	and	and	CCONJ
ejpam-4442	238	43	their	their	PRON
ejpam-4442	238	44	impacts	impact	NOUN
ejpam-4442	238	45	are	be	AUX
ejpam-4442	238	46	shows	show	VERB
ejpam-4442	238	47	their	their	PRON
ejpam-4442	238	48	practical	practical	ADJ
ejpam-4442	238	49	significance	significance	NOUN
ejpam-4442	238	50	in	in	ADP
ejpam-4442	238	51	engineering	engineering	NOUN
ejpam-4442	238	52	and	and	CCONJ
ejpam-4442	238	53	chemical	chemical	NOUN
ejpam-4442	238	54	reactions	reaction	NOUN
ejpam-4442	238	55	.	.	PUNCT
ejpam-4442	239	1	thus	thus	ADV
ejpam-4442	239	2	,	,	PUNCT
ejpam-4442	239	3	oscillating	oscillate	VERB
ejpam-4442	239	4	spheres	sphere	NOUN
ejpam-4442	239	5	in	in	ADP
ejpam-4442	239	6	the	the	DET
ejpam-4442	239	7	magnetic	magnetic	ADJ
ejpam-4442	239	8	field	field	NOUN
ejpam-4442	239	9	have	have	VERB
ejpam-4442	239	10	many	many	ADJ
ejpam-4442	239	11	applications	application	NOUN
ejpam-4442	239	12	for	for	ADP
ejpam-4442	239	13	chemical	chemical	ADJ
ejpam-4442	239	14	reactions	reaction	NOUN
ejpam-4442	239	15	and	and	CCONJ
ejpam-4442	239	16	nanoparticles	nanoparticle	VERB
ejpam-4442	239	17	interactions	interaction	NOUN
ejpam-4442	239	18	to	to	PART
ejpam-4442	239	19	generate	generate	VERB
ejpam-4442	239	20	heat	heat	NOUN
ejpam-4442	239	21	through	through	ADP
ejpam-4442	239	22	various	various	ADJ
ejpam-4442	239	23	mechanisms	mechanism	NOUN
ejpam-4442	239	24	.	.	PUNCT
ejpam-4442	240	1	in	in	ADP
ejpam-4442	240	2	this	this	DET
ejpam-4442	240	3	study	study	NOUN
ejpam-4442	240	4	,	,	PUNCT
ejpam-4442	240	5	we	we	PRON
ejpam-4442	240	6	have	have	AUX
ejpam-4442	240	7	presented	present	VERB
ejpam-4442	240	8	a	a	DET
ejpam-4442	240	9	combined	combine	VERB
ejpam-4442	240	10	analytical	analytical	ADJ
ejpam-4442	240	11	and	and	CCONJ
ejpam-4442	240	12	numerical	numerical	ADJ
ejpam-4442	240	13	solution	solution	NOUN
ejpam-4442	240	14	procedure	procedure	NOUN
ejpam-4442	240	15	for	for	ADP
ejpam-4442	240	16	the	the	DET
ejpam-4442	240	17	stokes	stoke	NOUN
ejpam-4442	240	18	flow	flow	NOUN
ejpam-4442	240	19	caused	cause	VERB
ejpam-4442	240	20	by	by	ADP
ejpam-4442	240	21	an	an	DET
ejpam-4442	240	22	oscillating	oscillate	VERB
ejpam-4442	240	23	sphere	sphere	NOUN
ejpam-4442	240	24	embedded	embed	VERB
ejpam-4442	240	25	in	in	ADP
ejpam-4442	240	26	a	a	DET
ejpam-4442	240	27	magnetic	magnetic	ADJ
ejpam-4442	240	28	viscous	viscous	ADJ
ejpam-4442	240	29	fluid	fluid	NOUN
ejpam-4442	240	30	with	with	ADP
ejpam-4442	240	31	slip	slip	NOUN
ejpam-4442	240	32	.	.	PUNCT
ejpam-4442	241	1	the	the	DET
ejpam-4442	241	2	sphere	sphere	NOUN
ejpam-4442	241	3	oscillates	oscillate	NOUN
ejpam-4442	241	4	along	along	ADP
ejpam-4442	241	5	an	an	DET
ejpam-4442	241	6	axis	axis	NOUN
ejpam-4442	241	7	normal	normal	ADJ
ejpam-4442	241	8	to	to	ADP
ejpam-4442	241	9	an	an	DET
ejpam-4442	241	10	unbounded	unbounded	ADJ
ejpam-4442	241	11	rigid	rigid	ADJ
ejpam-4442	241	12	wall	wall	NOUN
ejpam-4442	241	13	.	.	PUNCT
ejpam-4442	242	1	boundary	boundary	ADJ
ejpam-4442	242	2	conditions	condition	NOUN
ejpam-4442	242	3	are	be	AUX
ejpam-4442	242	4	satisfied	satisfied	ADJ
ejpam-4442	242	5	first	first	ADV
ejpam-4442	242	6	at	at	ADP
ejpam-4442	242	7	the	the	DET
ejpam-4442	242	8	plane	plane	NOUN
ejpam-4442	242	9	wall	wall	NOUN
ejpam-4442	242	10	by	by	ADP
ejpam-4442	242	11	the	the	DET
ejpam-4442	242	12	fourier	fourier	ADJ
ejpam-4442	242	13	–	–	PUNCT
ejpam-4442	242	14	bessel	bessel	NOUN
ejpam-4442	242	15	transform	transform	NOUN
ejpam-4442	242	16	and	and	CCONJ
ejpam-4442	242	17	then	then	ADV
ejpam-4442	242	18	on	on	ADP
ejpam-4442	242	19	the	the	DET
ejpam-4442	242	20	sphere	sphere	NOUN
ejpam-4442	242	21	surface	surface	NOUN
ejpam-4442	242	22	by	by	ADP
ejpam-4442	242	23	a	a	DET
ejpam-4442	242	24	collocation	collocation	NOUN
ejpam-4442	242	25	technique	technique	NOUN
ejpam-4442	242	26	.	.	PUNCT
ejpam-4442	243	1	the	the	DET
ejpam-4442	243	2	numerical	numerical	ADJ
ejpam-4442	243	3	results	result	NOUN
ejpam-4442	243	4	of	of	ADP
ejpam-4442	243	5	the	the	DET
ejpam-4442	243	6	magnitude	magnitude	NOUN
ejpam-4442	243	7	of	of	ADP
ejpam-4442	243	8	drag	drag	NOUN
ejpam-4442	243	9	force	force	NOUN
ejpam-4442	243	10	acting	act	VERB
ejpam-4442	243	11	on	on	ADP
ejpam-4442	243	12	the	the	DET
ejpam-4442	243	13	sphere	sphere	NOUN
ejpam-4442	243	14	by	by	ADP
ejpam-4442	243	15	the	the	DET
ejpam-4442	243	16	external	external	ADJ
ejpam-4442	243	17	fluid	fluid	NOUN
ejpam-4442	243	18	show	show	NOUN
ejpam-4442	243	19	that	that	SCONJ
ejpam-4442	243	20	the	the	DET
ejpam-4442	243	21	solution	solution	NOUN
ejpam-4442	243	22	procedure	procedure	NOUN
ejpam-4442	243	23	converges	converge	VERB
ejpam-4442	243	24	rapidly	rapidly	ADV
ejpam-4442	243	25	.	.	PUNCT
ejpam-4442	244	1	for	for	ADP
ejpam-4442	244	2	various	various	ADJ
ejpam-4442	244	3	values	value	NOUN
ejpam-4442	244	4	of	of	ADP
ejpam-4442	244	5	the	the	DET
ejpam-4442	244	6	clearance	clearance	NOUN
ejpam-4442	244	7	(	(	PUNCT
ejpam-4442	244	8	separation	separation	NOUN
ejpam-4442	244	9	parameter	parameter	NOUN
ejpam-4442	244	10	)	)	PUNCT
ejpam-4442	244	11	,	,	PUNCT
ejpam-4442	244	12	the	the	DET
ejpam-4442	244	13	slip	slip	NOUN
ejpam-4442	244	14	,	,	PUNCT
ejpam-4442	244	15	magnetic	magnetic	ADJ
ejpam-4442	244	16	parameter	parameter	NOUN
ejpam-4442	244	17	,	,	PUNCT
ejpam-4442	244	18	and	and	CCONJ
ejpam-4442	244	19	frequency	frequency	NOUN
ejpam-4442	244	20	parameter	parameter	NOUN
ejpam-4442	244	21	comparisons	comparison	NOUN
ejpam-4442	244	22	with	with	ADP
ejpam-4442	244	23	the	the	DET
ejpam-4442	244	24	limiting	limit	VERB
ejpam-4442	244	25	cases	case	NOUN
ejpam-4442	244	26	available	available	ADJ
ejpam-4442	244	27	in	in	ADP
ejpam-4442	244	28	the	the	DET
ejpam-4442	244	29	literature	literature	NOUN
ejpam-4442	244	30	.	.	PUNCT
ejpam-4442	245	1	besides	besides	SCONJ
ejpam-4442	245	2	engineering	engineer	VERB
ejpam-4442	245	3	applications	application	NOUN
ejpam-4442	245	4	the	the	DET
ejpam-4442	245	5	present	present	ADJ
ejpam-4442	245	6	analysis	analysis	NOUN
ejpam-4442	245	7	of	of	ADP
ejpam-4442	245	8	the	the	DET
ejpam-4442	245	9	magnetic	magnetic	ADJ
ejpam-4442	245	10	oscillating	oscillating	NOUN
ejpam-4442	245	11	sphere	sphere	NOUN
ejpam-4442	245	12	towards	towards	ADP
ejpam-4442	245	13	the	the	DET
ejpam-4442	245	14	plate	plate	NOUN
ejpam-4442	245	15	problem	problem	NOUN
ejpam-4442	245	16	possesses	possess	VERB
ejpam-4442	245	17	also	also	ADV
ejpam-4442	245	18	geophysical	geophysical	ADJ
ejpam-4442	245	19	and	and	CCONJ
ejpam-4442	245	20	astrophysical	astrophysical	ADJ
ejpam-4442	245	21	applications	application	NOUN
ejpam-4442	245	22	;	;	PUNCT
ejpam-4442	245	23	namely	namely	ADV
ejpam-4442	245	24	,	,	PUNCT
ejpam-4442	245	25	in	in	ADP
ejpam-4442	245	26	connection	connection	NOUN
ejpam-4442	245	27	with	with	ADP
ejpam-4442	245	28	the	the	DET
ejpam-4442	245	29	use	use	NOUN
ejpam-4442	245	30	of	of	ADP
ejpam-4442	245	31	such	such	ADJ
ejpam-4442	245	32	equations	equation	NOUN
ejpam-4442	245	33	for	for	ADP
ejpam-4442	245	34	a	a	DET
ejpam-4442	245	35	better	well	ADJ
ejpam-4442	245	36	understanding	understanding	NOUN
ejpam-4442	245	37	of	of	ADP
ejpam-4442	245	38	the	the	DET
ejpam-4442	245	39	motion	motion	NOUN
ejpam-4442	245	40	of	of	ADP
ejpam-4442	245	41	references	reference	NOUN
ejpam-4442	245	42	1396	1396	NUM
ejpam-4442	245	43	electrically	electrically	ADV
ejpam-4442	245	44	conducting	conduct	VERB
ejpam-4442	245	45	fluids	fluid	NOUN
ejpam-4442	245	46	such	such	ADJ
ejpam-4442	245	47	as	as	ADP
ejpam-4442	245	48	[	[	X
ejpam-4442	245	49	47	47	NUM
ejpam-4442	245	50	]	]	PUNCT
ejpam-4442	245	51	.	.	PUNCT
ejpam-4442	246	1	references	reference	NOUN
ejpam-4442	246	2	[	[	X
ejpam-4442	246	3	1	1	NUM
ejpam-4442	246	4	]	]	PUNCT
ejpam-4442	246	5	k	k	PROPN
ejpam-4442	246	6	r	r	NOUN
ejpam-4442	246	7	cramer	cramer	NOUN
ejpam-4442	246	8	and	and	CCONJ
ejpam-4442	246	9	s	s	PROPN
ejpam-4442	246	10	i	i	PROPN
ejpam-4442	246	11	pai	pai	PROPN
ejpam-4442	246	12	.	.	PUNCT
ejpam-4442	247	1	magnetofluid	magnetofluid	ADJ
ejpam-4442	247	2	dynamics	dynamic	NOUN
ejpam-4442	247	3	for	for	ADP
ejpam-4442	247	4	engineers	engineer	NOUN
ejpam-4442	247	5	and	and	CCONJ
ejpam-4442	247	6	applied	applied	ADJ
ejpam-4442	247	7	physicists	physicist	NOUN
ejpam-4442	247	8	.	.	PUNCT
ejpam-4442	248	1	mcgraw	mcgraw	PROPN
ejpam-4442	248	2	-	-	PUNCT
ejpam-4442	248	3	hill	hill	NOUN
ejpam-4442	248	4	book	book	NOUN
ejpam-4442	248	5	company	company	NOUN
ejpam-4442	248	6	,	,	PUNCT
ejpam-4442	248	7	page	page	NOUN
ejpam-4442	248	8	347	347	NUM
ejpam-4442	248	9	,	,	PUNCT
ejpam-4442	248	10	1973	1973	NUM
ejpam-4442	248	11	.	.	PUNCT
ejpam-4442	249	1	[	[	X
ejpam-4442	249	2	2	2	X
ejpam-4442	249	3	]	]	PUNCT
ejpam-4442	249	4	a	a	DET
ejpam-4442	249	5	sellier	sellier	NOUN
ejpam-4442	249	6	and	and	CCONJ
ejpam-4442	249	7	s	s	NOUN
ejpam-4442	249	8	aydin	aydin	NOUN
ejpam-4442	249	9	.	.	PUNCT
ejpam-4442	250	1	maxisymmetric	maxisymmetric	PROPN
ejpam-4442	250	2	mhd	mhd	PROPN
ejpam-4442	250	3	viscous	viscous	PROPN
ejpam-4442	250	4	flows	flow	NOUN
ejpam-4442	250	5	bounded	bound	VERB
ejpam-4442	250	6	by	by	ADP
ejpam-4442	250	7	a	a	DET
ejpam-4442	250	8	solid	solid	ADJ
ejpam-4442	250	9	plane	plane	NOUN
ejpam-4442	250	10	normal	normal	ADJ
ejpam-4442	250	11	to	to	ADP
ejpam-4442	250	12	a	a	DET
ejpam-4442	250	13	uniform	uniform	ADJ
ejpam-4442	250	14	ambient	ambient	ADJ
ejpam-4442	250	15	magnetic	magnetic	ADJ
ejpam-4442	250	16	field	field	NOUN
ejpam-4442	250	17	:	:	PUNCT
ejpam-4442	250	18	fundamental	fundamental	ADJ
ejpam-4442	250	19	flows	flow	NOUN
ejpam-4442	250	20	and	and	CCONJ
ejpam-4442	250	21	application	application	NOUN
ejpam-4442	250	22	to	to	ADP
ejpam-4442	250	23	a	a	DET
ejpam-4442	250	24	solid	solid	ADJ
ejpam-4442	250	25	sphere	sphere	NOUN
ejpam-4442	250	26	translating	translate	VERB
ejpam-4442	250	27	normal	normal	ADJ
ejpam-4442	250	28	to	to	ADP
ejpam-4442	250	29	the	the	DET
ejpam-4442	250	30	wall	wall	NOUN
ejpam-4442	250	31	.	.	PUNCT
ejpam-4442	251	1	european	european	PROPN
ejpam-4442	251	2	journal	journal	PROPN
ejpam-4442	251	3	of	of	ADP
ejpam-4442	251	4	computational	computational	ADJ
ejpam-4442	251	5	mechanics	mechanic	NOUN
ejpam-4442	251	6	,	,	PUNCT
ejpam-4442	251	7	27:443–468	27:443–468	PROPN
ejpam-4442	251	8	,	,	PUNCT
ejpam-4442	251	9	2018	2018	NUM
ejpam-4442	251	10	.	.	PUNCT
ejpam-4442	252	1	[	[	X
ejpam-4442	252	2	3	3	X
ejpam-4442	252	3	]	]	PUNCT
ejpam-4442	252	4	n	n	PROPN
ejpam-4442	252	5	f	f	PROPN
ejpam-4442	252	6	okechi	okechi	NOUN
ejpam-4442	252	7	and	and	CCONJ
ejpam-4442	252	8	s	s	PROPN
ejpam-4442	252	9	asghar	asghar	PROPN
ejpam-4442	252	10	.	.	PUNCT
ejpam-4442	252	11	mhd	mhd	PROPN
ejpam-4442	252	12	stokes	stokes	PROPN
ejpam-4442	252	13	flow	flow	VERB
ejpam-4442	252	14	in	in	ADP
ejpam-4442	252	15	a	a	DET
ejpam-4442	252	16	corrugated	corrugate	VERB
ejpam-4442	252	17	curved	curved	ADJ
ejpam-4442	252	18	channel	channel	NOUN
ejpam-4442	252	19	,	,	PUNCT
ejpam-4442	252	20	chinese	chinese	ADJ
ejpam-4442	252	21	journal	journal	PROPN
ejpam-4442	252	22	of	of	ADP
ejpam-4442	252	23	physics	physics	PROPN
ejpam-4442	252	24	.	.	PUNCT
ejpam-4442	253	1	chinese	chinese	ADJ
ejpam-4442	253	2	journal	journal	PROPN
ejpam-4442	253	3	of	of	ADP
ejpam-4442	253	4	physics	physics	PROPN
ejpam-4442	253	5	,	,	PUNCT
ejpam-4442	253	6	71:38–53	71:38–53	NUM
ejpam-4442	253	7	,	,	PUNCT
ejpam-4442	253	8	2021	2021	NUM
ejpam-4442	253	9	.	.	PUNCT
ejpam-4442	254	1	[	[	X
ejpam-4442	254	2	4	4	NUM
ejpam-4442	254	3	]	]	PUNCT
ejpam-4442	254	4	s	s	VERB
ejpam-4442	254	5	qian	qian	ADJ
ejpam-4442	254	6	and	and	CCONJ
ejpam-4442	254	7	h	h	PROPN
ejpam-4442	254	8	h	h	PROPN
ejpam-4442	255	1	bau	bau	PROPN
ejpam-4442	255	2	.	.	PROPN
ejpam-4442	255	3	magneto	magneto	ADJ
ejpam-4442	255	4	-	-	PUNCT
ejpam-4442	255	5	hydrodynamic	hydrodynamic	ADJ
ejpam-4442	255	6	stirrer	stirrer	NOUN
ejpam-4442	255	7	for	for	ADP
ejpam-4442	255	8	stationary	stationary	ADJ
ejpam-4442	255	9	and	and	CCONJ
ejpam-4442	255	10	moving	moving	NOUN
ejpam-4442	255	11	fluids	fluid	NOUN
ejpam-4442	255	12	.	.	PUNCT
ejpam-4442	256	1	sensors	sensor	NOUN
ejpam-4442	256	2	and	and	CCONJ
ejpam-4442	256	3	actuators	actuator	NOUN
ejpam-4442	256	4	b	b	X
ejpam-4442	256	5	:	:	PUNCT
ejpam-4442	256	6	chemical	chemical	NOUN
ejpam-4442	256	7	,	,	PUNCT
ejpam-4442	256	8	106:859–870	106:859–870	NUM
ejpam-4442	256	9	,	,	PUNCT
ejpam-4442	256	10	2005	2005	NUM
ejpam-4442	256	11	.	.	PUNCT
ejpam-4442	257	1	[	[	X
ejpam-4442	257	2	5	5	NUM
ejpam-4442	257	3	]	]	SYM
ejpam-4442	257	4	s	s	PART
ejpam-4442	257	5	el	el	PROPN
ejpam-4442	257	6	-	-	PUNCT
ejpam-4442	257	7	sapa	sapa	PROPN
ejpam-4442	257	8	and	and	CCONJ
ejpam-4442	257	9	n	n	PRON
ejpam-4442	257	10	s	s	VERB
ejpam-4442	257	11	alsudais	alsudais	ADJ
ejpam-4442	257	12	.	.	PUNCT
ejpam-4442	258	1	effect	effect	NOUN
ejpam-4442	258	2	of	of	ADP
ejpam-4442	258	3	magnetic	magnetic	ADJ
ejpam-4442	258	4	field	field	NOUN
ejpam-4442	258	5	on	on	ADP
ejpam-4442	258	6	the	the	DET
ejpam-4442	258	7	motion	motion	NOUN
ejpam-4442	258	8	of	of	ADP
ejpam-4442	258	9	two	two	NUM
ejpam-4442	258	10	rigid	rigid	ADJ
ejpam-4442	258	11	spheres	sphere	NOUN
ejpam-4442	258	12	embedded	embed	VERB
ejpam-4442	258	13	in	in	ADP
ejpam-4442	258	14	porous	porous	ADJ
ejpam-4442	258	15	media	medium	NOUN
ejpam-4442	258	16	with	with	ADP
ejpam-4442	258	17	slip	slip	NOUN
ejpam-4442	258	18	surfaces	surface	NOUN
ejpam-4442	258	19	.	.	PUNCT
ejpam-4442	259	1	the	the	DET
ejpam-4442	259	2	european	european	PROPN
ejpam-4442	259	3	physical	physical	PROPN
ejpam-4442	259	4	journal	journal	PROPN
ejpam-4442	259	5	e	e	PROPN
ejpam-4442	259	6	,	,	PUNCT
ejpam-4442	259	7	44:1–11	44:1–11	NOUN
ejpam-4442	259	8	,	,	PUNCT
ejpam-4442	259	9	2021	2021	NUM
ejpam-4442	259	10	.	.	PUNCT
ejpam-4442	260	1	[	[	X
ejpam-4442	260	2	6	6	NUM
ejpam-4442	260	3	]	]	X
ejpam-4442	260	4	r	r	NOUN
ejpam-4442	260	5	chaudhary	chaudhary	PROPN
ejpam-4442	260	6	and	and	CCONJ
ejpam-4442	260	7	a	a	DET
ejpam-4442	260	8	jain	jain	NOUN
ejpam-4442	260	9	.	.	PUNCT
ejpam-4442	261	1	combined	combine	VERB
ejpam-4442	261	2	heat	heat	NOUN
ejpam-4442	261	3	and	and	CCONJ
ejpam-4442	261	4	mass	mass	NOUN
ejpam-4442	261	5	transfer	transfer	NOUN
ejpam-4442	261	6	effects	effect	NOUN
ejpam-4442	261	7	on	on	ADP
ejpam-4442	261	8	mhd	mhd	NOUN
ejpam-4442	261	9	free	free	ADJ
ejpam-4442	261	10	convection	convection	NOUN
ejpam-4442	261	11	flow	flow	NOUN
ejpam-4442	261	12	past	past	ADP
ejpam-4442	261	13	an	an	DET
ejpam-4442	261	14	oscillating	oscillate	VERB
ejpam-4442	261	15	plate	plate	NOUN
ejpam-4442	261	16	embedded	embed	VERB
ejpam-4442	261	17	in	in	ADP
ejpam-4442	261	18	porous	porous	ADJ
ejpam-4442	261	19	medium	medium	NOUN
ejpam-4442	261	20	.	.	PUNCT
ejpam-4442	262	1	romanian	romanian	ADJ
ejpam-4442	262	2	journal	journal	PROPN
ejpam-4442	262	3	of	of	ADP
ejpam-4442	262	4	physics	physics	PROPN
ejpam-4442	262	5	,	,	PUNCT
ejpam-4442	262	6	52:505–524	52:505–524	PROPN
ejpam-4442	262	7	,	,	PUNCT
ejpam-4442	262	8	2007	2007	NUM
ejpam-4442	262	9	.	.	PUNCT
ejpam-4442	263	1	[	[	X
ejpam-4442	263	2	7	7	X
ejpam-4442	263	3	]	]	X
ejpam-4442	263	4	j	j	PROPN
ejpam-4442	263	5	raza	raza	PROPN
ejpam-4442	263	6	,	,	PUNCT
ejpam-4442	263	7	f	f	PROPN
ejpam-4442	263	8	mebarek	mebarek	PROPN
ejpam-4442	263	9	-	-	PUNCT
ejpam-4442	263	10	oudina	oudina	PROPN
ejpam-4442	263	11	,	,	PUNCT
ejpam-4442	263	12	and	and	CCONJ
ejpam-4442	263	13	a	a	DET
ejpam-4442	263	14	j	j	NOUN
ejpam-4442	263	15	chamkha	chamkha	NOUN
ejpam-4442	263	16	.	.	PUNCT
ejpam-4442	264	1	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	264	2	flow	flow	NOUN
ejpam-4442	264	3	of	of	ADP
ejpam-4442	264	4	molybdenum	molybdenum	NOUN
ejpam-4442	264	5	disulfide	disulfide	NOUN
ejpam-4442	264	6	nanofluid	nanofluid	NOUN
ejpam-4442	264	7	in	in	ADP
ejpam-4442	264	8	a	a	DET
ejpam-4442	264	9	channel	channel	NOUN
ejpam-4442	264	10	with	with	ADP
ejpam-4442	264	11	shape	shape	NOUN
ejpam-4442	264	12	effects	effect	NOUN
ejpam-4442	264	13	.	.	PUNCT
ejpam-4442	265	1	multidiscipline	multidiscipline	NOUN
ejpam-4442	265	2	modeling	modeling	NOUN
ejpam-4442	265	3	in	in	ADP
ejpam-4442	265	4	materials	material	NOUN
ejpam-4442	265	5	and	and	CCONJ
ejpam-4442	265	6	structures	structure	NOUN
ejpam-4442	265	7	,	,	PUNCT
ejpam-4442	265	8	2017	2017	NUM
ejpam-4442	265	9	.	.	PUNCT
ejpam-4442	266	1	[	[	X
ejpam-4442	266	2	8	8	NUM
ejpam-4442	266	3	]	]	X
ejpam-4442	266	4	h	h	NOUN
ejpam-4442	266	5	s	s	NOUN
ejpam-4442	266	6	takhar	takhar	PROPN
ejpam-4442	266	7	and	and	CCONJ
ejpam-4442	266	8	g	g	PROPN
ejpam-4442	266	9	nath	nath	NOUN
ejpam-4442	266	10	a	a	DET
ejpam-4442	266	11	j	j	PROPN
ejpam-4442	266	12	chamkha	chamkha	NOUN
ejpam-4442	266	13	.	.	PUNCT
ejpam-4442	267	1	mhd	mhd	PROPN
ejpam-4442	267	2	flow	flow	NOUN
ejpam-4442	267	3	over	over	ADP
ejpam-4442	267	4	a	a	DET
ejpam-4442	267	5	moving	move	VERB
ejpam-4442	267	6	plate	plate	NOUN
ejpam-4442	267	7	in	in	ADP
ejpam-4442	267	8	a	a	DET
ejpam-4442	267	9	rotating	rotate	VERB
ejpam-4442	267	10	fluid	fluid	NOUN
ejpam-4442	267	11	with	with	ADP
ejpam-4442	267	12	magnetic	magnetic	ADJ
ejpam-4442	267	13	field	field	NOUN
ejpam-4442	267	14	,	,	PUNCT
ejpam-4442	267	15	hall	hall	NOUN
ejpam-4442	267	16	currents	current	NOUN
ejpam-4442	267	17	and	and	CCONJ
ejpam-4442	267	18	free	free	ADJ
ejpam-4442	267	19	stream	stream	NOUN
ejpam-4442	267	20	velocity	velocity	NOUN
ejpam-4442	267	21	,	,	PUNCT
ejpam-4442	267	22	international	international	ADJ
ejpam-4442	267	23	journal	journal	NOUN
ejpam-4442	267	24	of	of	ADP
ejpam-4442	267	25	engineering	engineering	NOUN
ejpam-4442	267	26	science	science	NOUN
ejpam-4442	267	27	.	.	PUNCT
ejpam-4442	268	1	international	international	ADJ
ejpam-4442	268	2	journal	journal	PROPN
ejpam-4442	268	3	of	of	ADP
ejpam-4442	268	4	engineering	engineering	NOUN
ejpam-4442	268	5	science	science	NOUN
ejpam-4442	268	6	,	,	PUNCT
ejpam-4442	268	7	40:1511–1527	40:1511–1527	NUM
ejpam-4442	268	8	,	,	PUNCT
ejpam-4442	268	9	2002	2002	NUM
ejpam-4442	268	10	.	.	PUNCT
ejpam-4442	269	1	[	[	X
ejpam-4442	269	2	9	9	NUM
ejpam-4442	269	3	]	]	SYM
ejpam-4442	269	4	m	m	NOUN
ejpam-4442	269	5	v	v	ADP
ejpam-4442	269	6	krishna	krishna	PROPN
ejpam-4442	269	7	,	,	PUNCT
ejpam-4442	269	8	n	n	CCONJ
ejpam-4442	269	9	a	a	DET
ejpam-4442	269	10	ahamad	ahamad	NOUN
ejpam-4442	269	11	,	,	PUNCT
ejpam-4442	269	12	and	and	CCONJ
ejpam-4442	269	13	a	a	DET
ejpam-4442	269	14	j	j	NOUN
ejpam-4442	269	15	chamkha	chamkha	NOUN
ejpam-4442	269	16	.	.	PUNCT
ejpam-4442	270	1	hall	hall	NOUN
ejpam-4442	270	2	and	and	CCONJ
ejpam-4442	270	3	ion	ion	NOUN
ejpam-4442	270	4	slip	slip	NOUN
ejpam-4442	270	5	effects	effect	NOUN
ejpam-4442	270	6	on	on	ADP
ejpam-4442	270	7	unsteady	unsteady	ADJ
ejpam-4442	270	8	mhd	mhd	NOUN
ejpam-4442	270	9	free	free	ADJ
ejpam-4442	270	10	convective	convective	ADJ
ejpam-4442	270	11	rotating	rotating	NOUN
ejpam-4442	270	12	flow	flow	NOUN
ejpam-4442	270	13	through	through	ADP
ejpam-4442	270	14	a	a	DET
ejpam-4442	270	15	saturated	saturate	VERB
ejpam-4442	270	16	porous	porous	ADJ
ejpam-4442	270	17	medium	medium	NOUN
ejpam-4442	270	18	over	over	ADP
ejpam-4442	270	19	an	an	DET
ejpam-4442	270	20	exponential	exponential	ADJ
ejpam-4442	270	21	accelerated	accelerate	VERB
ejpam-4442	270	22	plate	plate	NOUN
ejpam-4442	270	23	.	.	PUNCT
ejpam-4442	271	1	alexandria	alexandria	PROPN
ejpam-4442	271	2	engineering	engineering	PROPN
ejpam-4442	271	3	journal	journal	PROPN
ejpam-4442	271	4	,	,	PUNCT
ejpam-4442	271	5	59:565–577	59:565–577	PROPN
ejpam-4442	271	6	,	,	PUNCT
ejpam-4442	271	7	2020	2020	NUM
ejpam-4442	271	8	.	.	PUNCT
ejpam-4442	272	1	[	[	X
ejpam-4442	272	2	10	10	NUM
ejpam-4442	272	3	]	]	X
ejpam-4442	272	4	m	m	VERB
ejpam-4442	272	5	v	v	ADP
ejpam-4442	272	6	krishna	krishna	PROPN
ejpam-4442	272	7	and	and	CCONJ
ejpam-4442	272	8	a	a	DET
ejpam-4442	272	9	j	j	PROPN
ejpam-4442	272	10	chamkha	chamkha	NOUN
ejpam-4442	272	11	.	.	PUNCT
ejpam-4442	273	1	hall	hall	NOUN
ejpam-4442	273	2	and	and	CCONJ
ejpam-4442	273	3	ion	ion	NOUN
ejpam-4442	273	4	slip	slip	NOUN
ejpam-4442	273	5	effects	effect	NOUN
ejpam-4442	273	6	on	on	ADP
ejpam-4442	273	7	mhd	mhd	NOUN
ejpam-4442	273	8	rotating	rotating	NOUN
ejpam-4442	273	9	flow	flow	NOUN
ejpam-4442	273	10	of	of	ADP
ejpam-4442	273	11	elastico	elastico	NOUN
ejpam-4442	273	12	-	-	PUNCT
ejpam-4442	273	13	viscous	viscous	ADJ
ejpam-4442	273	14	fluid	fluid	NOUN
ejpam-4442	273	15	through	through	ADP
ejpam-4442	273	16	porous	porous	ADJ
ejpam-4442	273	17	medium	medium	NOUN
ejpam-4442	273	18	,	,	PUNCT
ejpam-4442	273	19	international	international	ADJ
ejpam-4442	273	20	communications	communication	NOUN
ejpam-4442	273	21	in	in	ADP
ejpam-4442	273	22	heat	heat	NOUN
ejpam-4442	273	23	and	and	CCONJ
ejpam-4442	273	24	mass	mass	NOUN
ejpam-4442	273	25	transfer	transfer	NOUN
ejpam-4442	273	26	.	.	PUNCT
ejpam-4442	274	1	international	international	ADJ
ejpam-4442	274	2	communications	communication	NOUN
ejpam-4442	274	3	in	in	ADP
ejpam-4442	274	4	heat	heat	NOUN
ejpam-4442	274	5	and	and	CCONJ
ejpam-4442	274	6	mass	mass	NOUN
ejpam-4442	274	7	transfer	transfer	NOUN
ejpam-4442	274	8	,	,	PUNCT
ejpam-4442	274	9	113:104494	113:104494	NUM
ejpam-4442	274	10	,	,	PUNCT
ejpam-4442	274	11	2020	2020	NUM
ejpam-4442	274	12	.	.	PUNCT
ejpam-4442	275	1	[	[	X
ejpam-4442	275	2	11	11	NUM
ejpam-4442	275	3	]	]	X
ejpam-4442	275	4	i	i	PRON
ejpam-4442	275	5	chabani	chabani	PROPN
ejpam-4442	275	6	,	,	PUNCT
ejpam-4442	275	7	f	f	PROPN
ejpam-4442	275	8	mebarek	mebarek	PROPN
ejpam-4442	275	9	-	-	PUNCT
ejpam-4442	275	10	oudina	oudina	PROPN
ejpam-4442	275	11	,	,	PUNCT
ejpam-4442	275	12	and	and	CCONJ
ejpam-4442	275	13	a	a	DET
ejpam-4442	275	14	a	a	DET
ejpam-4442	275	15	i	i	PROPN
ejpam-4442	275	16	ismail	ismail	PROPN
ejpam-4442	275	17	.	.	PUNCT
ejpam-4442	276	1	mhd	mhd	NOUN
ejpam-4442	276	2	flow	flow	NOUN
ejpam-4442	276	3	of	of	ADP
ejpam-4442	276	4	a	a	DET
ejpam-4442	276	5	hybrid	hybrid	ADJ
ejpam-4442	276	6	nano	nano	NOUN
ejpam-4442	276	7	-	-	PUNCT
ejpam-4442	276	8	fluid	fluid	NOUN
ejpam-4442	276	9	in	in	ADP
ejpam-4442	276	10	a	a	DET
ejpam-4442	276	11	triangular	triangular	NOUN
ejpam-4442	276	12	enclosure	enclosure	NOUN
ejpam-4442	276	13	with	with	ADP
ejpam-4442	276	14	zigzags	zigzag	NOUN
ejpam-4442	276	15	and	and	CCONJ
ejpam-4442	276	16	an	an	DET
ejpam-4442	276	17	elliptic	elliptic	ADJ
ejpam-4442	276	18	obstacle	obstacle	NOUN
ejpam-4442	276	19	,	,	PUNCT
ejpam-4442	276	20	micromachines	micromachine	NOUN
ejpam-4442	276	21	.	.	PUNCT
ejpam-4442	277	1	micromachines	micromachine	NOUN
ejpam-4442	277	2	,	,	PUNCT
ejpam-4442	277	3	13:224	13:224	NUM
ejpam-4442	277	4	,	,	PUNCT
ejpam-4442	277	5	2022	2022	NUM
ejpam-4442	277	6	.	.	PUNCT
ejpam-4442	278	1	references	reference	NOUN
ejpam-4442	278	2	1397	1397	NUM
ejpam-4442	279	1	[	[	X
ejpam-4442	279	2	12	12	NUM
ejpam-4442	279	3	]	]	X
ejpam-4442	279	4	r	r	NOUN
ejpam-4442	279	5	djebali	djebali	PROPN
ejpam-4442	279	6	,	,	PUNCT
ejpam-4442	279	7	f	f	PROPN
ejpam-4442	279	8	mebarek	mebarek	PROPN
ejpam-4442	279	9	-	-	PUNCT
ejpam-4442	279	10	oudina	oudina	PROPN
ejpam-4442	279	11	,	,	PUNCT
ejpam-4442	279	12	and	and	CCONJ
ejpam-4442	279	13	c	c	NOUN
ejpam-4442	279	14	rajashekhar	rajashekhar	NOUN
ejpam-4442	279	15	.	.	PUNCT
ejpam-4442	280	1	similarity	similarity	NOUN
ejpam-4442	280	2	solution	solution	NOUN
ejpam-4442	280	3	analysis	analysis	NOUN
ejpam-4442	280	4	of	of	ADP
ejpam-4442	280	5	dynamic	dynamic	ADJ
ejpam-4442	280	6	and	and	CCONJ
ejpam-4442	280	7	thermal	thermal	ADJ
ejpam-4442	280	8	boundary	boundary	ADJ
ejpam-4442	280	9	layers	layer	NOUN
ejpam-4442	280	10	:	:	PUNCT
ejpam-4442	280	11	further	further	ADJ
ejpam-4442	280	12	formulation	formulation	NOUN
ejpam-4442	280	13	along	along	ADP
ejpam-4442	280	14	a	a	DET
ejpam-4442	280	15	vertical	vertical	ADJ
ejpam-4442	280	16	flat	flat	ADJ
ejpam-4442	280	17	plate	plate	NOUN
ejpam-4442	280	18	.	.	PUNCT
ejpam-4442	281	1	physica	physica	PROPN
ejpam-4442	281	2	scripta	scripta	PROPN
ejpam-4442	281	3	,	,	PUNCT
ejpam-4442	281	4	96:085206	96:085206	NUM
ejpam-4442	281	5	,	,	PUNCT
ejpam-4442	281	6	2021	2021	NUM
ejpam-4442	281	7	.	.	PUNCT
ejpam-4442	282	1	[	[	X
ejpam-4442	282	2	13	13	NUM
ejpam-4442	282	3	]	]	SYM
ejpam-4442	282	4	s	s	PART
ejpam-4442	282	5	marzougui	marzougui	NOUN
ejpam-4442	282	6	,	,	PUNCT
ejpam-4442	282	7	f	f	PROPN
ejpam-4442	282	8	mebarek	mebarek	PROPN
ejpam-4442	282	9	-	-	PUNCT
ejpam-4442	282	10	oudina	oudina	PROPN
ejpam-4442	282	11	,	,	PUNCT
ejpam-4442	282	12	m	m	NOUN
ejpam-4442	282	13	magherbi	magherbi	NOUN
ejpam-4442	282	14	,	,	PUNCT
ejpam-4442	282	15	and	and	CCONJ
ejpam-4442	282	16	a	a	DET
ejpam-4442	282	17	mchirgui	mchirgui	NOUN
ejpam-4442	282	18	.	.	PUNCT
ejpam-4442	283	1	entropy	entropy	PROPN
ejpam-4442	283	2	generation	generation	NOUN
ejpam-4442	283	3	and	and	CCONJ
ejpam-4442	283	4	heat	heat	NOUN
ejpam-4442	283	5	transport	transport	NOUN
ejpam-4442	283	6	of	of	ADP
ejpam-4442	283	7	cu	cu	PROPN
ejpam-4442	283	8	–	–	PUNCT
ejpam-4442	283	9	water	water	NOUN
ejpam-4442	283	10	nanoliquid	nanoliquid	NOUN
ejpam-4442	283	11	in	in	ADP
ejpam-4442	283	12	porous	porous	ADJ
ejpam-4442	283	13	lid	lid	NOUN
ejpam-4442	283	14	-	-	PUNCT
ejpam-4442	283	15	driven	drive	VERB
ejpam-4442	283	16	cavity	cavity	NOUN
ejpam-4442	283	17	through	through	ADP
ejpam-4442	283	18	magnetic	magnetic	ADJ
ejpam-4442	283	19	field	field	NOUN
ejpam-4442	283	20	.	.	PUNCT
ejpam-4442	284	1	international	international	ADJ
ejpam-4442	284	2	journal	journal	PROPN
ejpam-4442	284	3	of	of	ADP
ejpam-4442	284	4	numerical	numerical	ADJ
ejpam-4442	284	5	methods	method	NOUN
ejpam-4442	284	6	for	for	ADP
ejpam-4442	284	7	heat	heat	NOUN
ejpam-4442	284	8	fluid	fluid	NOUN
ejpam-4442	284	9	flow	flow	NOUN
ejpam-4442	284	10	,	,	PUNCT
ejpam-4442	284	11	32:2047–2069	32:2047–2069	PROPN
ejpam-4442	284	12	,	,	PUNCT
ejpam-4442	284	13	2021	2021	NUM
ejpam-4442	284	14	.	.	PUNCT
ejpam-4442	285	1	[	[	X
ejpam-4442	285	2	14	14	NUM
ejpam-4442	285	3	]	]	X
ejpam-4442	285	4	y	y	PROPN
ejpam-4442	285	5	d	d	PROPN
ejpam-4442	285	6	reddy	reddy	PROPN
ejpam-4442	285	7	,	,	PUNCT
ejpam-4442	285	8	f	f	PROPN
ejpam-4442	285	9	mebarek	mebarek	PROPN
ejpam-4442	285	10	-	-	PUNCT
ejpam-4442	285	11	oudina	oudina	PROPN
ejpam-4442	285	12	,	,	PUNCT
ejpam-4442	285	13	b	b	PROPN
ejpam-4442	285	14	s	s	PROPN
ejpam-4442	285	15	goud	goud	NOUN
ejpam-4442	285	16	,	,	PUNCT
ejpam-4442	285	17	and	and	CCONJ
ejpam-4442	285	18	a	a	DET
ejpam-4442	285	19	i	i	PROPN
ejpam-4442	285	20	ismail	ismail	PROPN
ejpam-4442	285	21	.	.	PUNCT
ejpam-4442	286	1	velocity	velocity	NOUN
ejpam-4442	286	2	and	and	CCONJ
ejpam-4442	286	3	thermal	thermal	ADJ
ejpam-4442	286	4	slips	slip	VERB
ejpam-4442	286	5	effect	effect	NOUN
ejpam-4442	286	6	toward	toward	ADP
ejpam-4442	286	7	mhd	mhd	NOUN
ejpam-4442	286	8	boundary	boundary	ADJ
ejpam-4442	286	9	layer	layer	NOUN
ejpam-4442	286	10	flow	flow	VERB
ejpam-4442	286	11	through	through	ADP
ejpam-4442	286	12	heat	heat	NOUN
ejpam-4442	286	13	and	and	CCONJ
ejpam-4442	286	14	mass	mass	NOUN
ejpam-4442	286	15	transport	transport	NOUN
ejpam-4442	286	16	of	of	ADP
ejpam-4442	286	17	williamson	williamson	PROPN
ejpam-4442	286	18	nanofluid	nanofluid	PROPN
ejpam-4442	286	19	with	with	ADP
ejpam-4442	286	20	porous	porous	ADJ
ejpam-4442	286	21	medium	medium	NOUN
ejpam-4442	286	22	.	.	PUNCT
ejpam-4442	287	1	arabian	arabian	ADJ
ejpam-4442	287	2	journal	journal	PROPN
ejpam-4442	287	3	for	for	ADP
ejpam-4442	287	4	science	science	NOUN
ejpam-4442	287	5	and	and	CCONJ
ejpam-4442	287	6	engineering	engineering	NOUN
ejpam-4442	287	7	,	,	PUNCT
ejpam-4442	287	8	2022	2022	NUM
ejpam-4442	287	9	.	.	PUNCT
ejpam-4442	288	1	[	[	X
ejpam-4442	288	2	15	15	NUM
ejpam-4442	288	3	]	]	X
ejpam-4442	288	4	a	a	DET
ejpam-4442	288	5	s	s	NOUN
ejpam-4442	288	6	warke	warke	NOUN
ejpam-4442	288	7	,	,	PUNCT
ejpam-4442	288	8	k	k	PROPN
ejpam-4442	288	9	ramesh	ramesh	PROPN
ejpam-4442	288	10	,	,	PUNCT
ejpam-4442	288	11	f	f	PROPN
ejpam-4442	288	12	mebarek	mebarek	PROPN
ejpam-4442	288	13	-	-	PUNCT
ejpam-4442	288	14	oudina	oudina	PROPN
ejpam-4442	288	15	,	,	PUNCT
ejpam-4442	288	16	and	and	CCONJ
ejpam-4442	288	17	a	a	DET
ejpam-4442	288	18	abidi	abidi	PROPN
ejpam-4442	288	19	.	.	PUNCT
ejpam-4442	289	1	numerical	numerical	PROPN
ejpam-4442	289	2	investigation	investigation	NOUN
ejpam-4442	289	3	of	of	ADP
ejpam-4442	289	4	the	the	DET
ejpam-4442	289	5	stagnation	stagnation	NOUN
ejpam-4442	289	6	point	point	NOUN
ejpam-4442	289	7	flow	flow	NOUN
ejpam-4442	289	8	of	of	ADP
ejpam-4442	289	9	radiative	radiative	ADJ
ejpam-4442	289	10	magnetomicropolar	magnetomicropolar	ADJ
ejpam-4442	289	11	liquid	liquid	NOUN
ejpam-4442	289	12	past	past	ADP
ejpam-4442	289	13	a	a	DET
ejpam-4442	289	14	heated	heated	ADJ
ejpam-4442	289	15	porous	porous	ADJ
ejpam-4442	289	16	stretching	stretching	NOUN
ejpam-4442	289	17	sheet	sheet	NOUN
ejpam-4442	289	18	.	.	PUNCT
ejpam-4442	290	1	journal	journal	PROPN
ejpam-4442	290	2	of	of	ADP
ejpam-4442	290	3	thermal	thermal	ADJ
ejpam-4442	290	4	analysis	analysis	NOUN
ejpam-4442	290	5	and	and	CCONJ
ejpam-4442	290	6	calorimetry	calorimetry	NOUN
ejpam-4442	290	7	,	,	PUNCT
ejpam-4442	290	8	147:6901–6912	147:6901–6912	NUM
ejpam-4442	290	9	,	,	PUNCT
ejpam-4442	290	10	2022	2022	NUM
ejpam-4442	290	11	.	.	PUNCT
ejpam-4442	291	1	[	[	X
ejpam-4442	291	2	16	16	NUM
ejpam-4442	291	3	]	]	X
ejpam-4442	291	4	c	c	PROPN
ejpam-4442	291	5	y	y	PROPN
ejpam-4442	291	6	wang	wang	PROPN
ejpam-4442	291	7	.	.	PUNCT
ejpam-4442	292	1	the	the	DET
ejpam-4442	292	2	flow	flow	NOUN
ejpam-4442	292	3	field	field	NOUN
ejpam-4442	292	4	induced	induce	VERB
ejpam-4442	292	5	by	by	ADP
ejpam-4442	292	6	an	an	DET
ejpam-4442	292	7	oscillating	oscillating	NOUN
ejpam-4442	292	8	sphere	sphere	NOUN
ejpam-4442	292	9	.	.	PUNCT
ejpam-4442	293	1	journal	journal	PROPN
ejpam-4442	293	2	of	of	ADP
ejpam-4442	293	3	sound	sound	NOUN
ejpam-4442	293	4	and	and	CCONJ
ejpam-4442	293	5	vibration	vibration	NOUN
ejpam-4442	293	6	,	,	PUNCT
ejpam-4442	293	7	2:257–269	2:257–269	NUM
ejpam-4442	293	8	,	,	PUNCT
ejpam-4442	293	9	1965	1965	NUM
ejpam-4442	293	10	.	.	PUNCT
ejpam-4442	294	1	[	[	X
ejpam-4442	294	2	17	17	NUM
ejpam-4442	294	3	]	]	PUNCT
ejpam-4442	294	4	t	t	NOUN
ejpam-4442	294	5	rikitake	rikitake	NOUN
ejpam-4442	294	6	.	.	PUNCT
ejpam-4442	295	1	magneto	magneto	VERB
ejpam-4442	295	2	-	-	PUNCT
ejpam-4442	295	3	hydrodynamic	hydrodynamic	ADJ
ejpam-4442	295	4	oscillations	oscillation	NOUN
ejpam-4442	295	5	of	of	ADP
ejpam-4442	295	6	a	a	DET
ejpam-4442	295	7	perfectly	perfectly	ADV
ejpam-4442	295	8	conducting	conduct	VERB
ejpam-4442	295	9	fluid	fluid	NOUN
ejpam-4442	295	10	sphere	sphere	NOUN
ejpam-4442	295	11	placed	place	VERB
ejpam-4442	295	12	in	in	ADP
ejpam-4442	295	13	a	a	DET
ejpam-4442	295	14	uniform	uniform	ADJ
ejpam-4442	295	15	magnetic	magnetic	ADJ
ejpam-4442	295	16	field	field	NOUN
ejpam-4442	295	17	.	.	PUNCT
ejpam-4442	296	1	journal	journal	NOUN
ejpam-4442	296	2	of	of	ADP
ejpam-4442	296	3	the	the	DET
ejpam-4442	296	4	physical	physical	ADJ
ejpam-4442	296	5	society	society	NOUN
ejpam-4442	296	6	of	of	ADP
ejpam-4442	296	7	japan	japan	PROPN
ejpam-4442	296	8	,	,	PUNCT
ejpam-4442	296	9	12:1224	12:1224	NUM
ejpam-4442	296	10	–	–	PUNCT
ejpam-4442	296	11	1230	1230	NUM
ejpam-4442	296	12	,	,	PUNCT
ejpam-4442	296	13	1958	1958	NUM
ejpam-4442	296	14	.	.	PUNCT
ejpam-4442	297	1	[	[	X
ejpam-4442	297	2	18	18	NUM
ejpam-4442	297	3	]	]	X
ejpam-4442	297	4	s	s	PART
ejpam-4442	297	5	chawla	chawla	PROPN
ejpam-4442	297	6	.	.	PUNCT
ejpam-4442	298	1	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	298	2	oscillatory	oscillatory	ADJ
ejpam-4442	298	3	flow	flow	NOUN
ejpam-4442	298	4	past	past	ADP
ejpam-4442	298	5	a	a	DET
ejpam-4442	298	6	semi	semi	ADJ
ejpam-4442	298	7	-	-	ADJ
ejpam-4442	298	8	infinite	infinite	ADJ
ejpam-4442	298	9	flat	flat	ADJ
ejpam-4442	298	10	plate	plate	NOUN
ejpam-4442	298	11	.	.	PUNCT
ejpam-4442	299	1	international	international	ADJ
ejpam-4442	299	2	journal	journal	PROPN
ejpam-4442	299	3	of	of	ADP
ejpam-4442	299	4	non	non	ADJ
ejpam-4442	299	5	-	-	ADJ
ejpam-4442	299	6	linear	linear	ADJ
ejpam-4442	299	7	mechanics	mechanic	NOUN
ejpam-4442	299	8	,	,	PUNCT
ejpam-4442	299	9	6:117–134	6:117–134	NUM
ejpam-4442	299	10	,	,	PUNCT
ejpam-4442	299	11	1971	1971	NUM
ejpam-4442	299	12	.	.	PUNCT
ejpam-4442	300	1	[	[	X
ejpam-4442	300	2	19	19	NUM
ejpam-4442	300	3	]	]	X
ejpam-4442	300	4	w	w	PROPN
ejpam-4442	300	5	zhang	zhang	PROPN
ejpam-4442	300	6	,	,	PUNCT
ejpam-4442	300	7	j	j	PROPN
ejpam-4442	300	8	peng	peng	PROPN
ejpam-4442	300	9	,	,	PUNCT
ejpam-4442	300	10	and	and	CCONJ
ejpam-4442	300	11	s	s	VERB
ejpam-4442	300	12	li	li	PROPN
ejpam-4442	300	13	.	.	PUNCT
ejpam-4442	300	14	damping	damp	VERB
ejpam-4442	300	15	force	force	NOUN
ejpam-4442	300	16	modeling	modeling	NOUN
ejpam-4442	300	17	and	and	CCONJ
ejpam-4442	300	18	suppression	suppression	NOUN
ejpam-4442	300	19	of	of	ADP
ejpam-4442	300	20	self	self	NOUN
ejpam-4442	300	21	-	-	PUNCT
ejpam-4442	300	22	excited	excite	VERB
ejpam-4442	300	23	vibration	vibration	NOUN
ejpam-4442	300	24	due	due	ADP
ejpam-4442	300	25	to	to	ADP
ejpam-4442	300	26	magnetic	magnetic	ADJ
ejpam-4442	300	27	fluids	fluid	NOUN
ejpam-4442	300	28	applied	apply	VERB
ejpam-4442	300	29	in	in	ADP
ejpam-4442	300	30	the	the	DET
ejpam-4442	300	31	torque	torque	NOUN
ejpam-4442	300	32	motor	motor	NOUN
ejpam-4442	300	33	of	of	ADP
ejpam-4442	300	34	a	a	DET
ejpam-4442	300	35	hydraulic	hydraulic	ADJ
ejpam-4442	300	36	servovalve	servovalve	NOUN
ejpam-4442	300	37	.	.	PUNCT
ejpam-4442	301	1	energies	energy	NOUN
ejpam-4442	301	2	,	,	PUNCT
ejpam-4442	301	3	10:749	10:749	NUM
ejpam-4442	301	4	,	,	PUNCT
ejpam-4442	301	5	2017	2017	NUM
ejpam-4442	301	6	.	.	PUNCT
ejpam-4442	302	1	[	[	X
ejpam-4442	302	2	20	20	NUM
ejpam-4442	302	3	]	]	PUNCT
ejpam-4442	302	4	t	t	NOUN
ejpam-4442	302	5	rikitake	rikitake	NOUN
ejpam-4442	302	6	.	.	PUNCT
ejpam-4442	303	1	immersed	immerse	VERB
ejpam-4442	303	2	boundary	boundary	ADJ
ejpam-4442	303	3	and	and	CCONJ
ejpam-4442	303	4	overset	overset	VERB
ejpam-4442	303	5	grid	grid	NOUN
ejpam-4442	303	6	methods	method	NOUN
ejpam-4442	303	7	assessed	assess	VERB
ejpam-4442	303	8	for	for	ADP
ejpam-4442	303	9	stokes	stoke	NOUN
ejpam-4442	303	10	flow	flow	VERB
ejpam-4442	303	11	due	due	ADP
ejpam-4442	303	12	to	to	ADP
ejpam-4442	303	13	an	an	DET
ejpam-4442	303	14	oscillating	oscillating	NOUN
ejpam-4442	303	15	sphere	sphere	NOUN
ejpam-4442	303	16	.	.	PUNCT
ejpam-4442	304	1	journal	journal	PROPN
ejpam-4442	304	2	of	of	ADP
ejpam-4442	304	3	computational	computational	ADJ
ejpam-4442	304	4	physics	physics	NOUN
ejpam-4442	304	5	,	,	PUNCT
ejpam-4442	304	6	423:109783	423:109783	NUM
ejpam-4442	304	7	,	,	PUNCT
ejpam-4442	304	8	2020	2020	NUM
ejpam-4442	304	9	.	.	PUNCT
ejpam-4442	305	1	[	[	X
ejpam-4442	305	2	21	21	NUM
ejpam-4442	305	3	]	]	X
ejpam-4442	305	4	r	r	PROPN
ejpam-4442	305	5	mei	mei	PROPN
ejpam-4442	305	6	,	,	PUNCT
ejpam-4442	305	7	j	j	PROPN
ejpam-4442	305	8	xiong	xiong	PROPN
ejpam-4442	305	9	,	,	PUNCT
ejpam-4442	305	10	and	and	CCONJ
ejpam-4442	305	11	r	r	NOUN
ejpam-4442	305	12	tran	tran	PROPN
ejpam-4442	305	13	-	-	PUNCT
ejpam-4442	305	14	son	son	NOUN
ejpam-4442	305	15	-	-	PUNCT
ejpam-4442	305	16	tay	tay	NOUN
ejpam-4442	305	17	.	.	PUNCT
ejpam-4442	305	18	motion	motion	NOUN
ejpam-4442	305	19	of	of	ADP
ejpam-4442	305	20	a	a	DET
ejpam-4442	305	21	sphere	sphere	NOUN
ejpam-4442	305	22	oscillating	oscillating	NOUN
ejpam-4442	305	23	at	at	ADP
ejpam-4442	305	24	low	low	ADJ
ejpam-4442	305	25	reynolds	reynolds	PROPN
ejpam-4442	305	26	numbers	number	NOUN
ejpam-4442	305	27	in	in	ADP
ejpam-4442	305	28	a	a	DET
ejpam-4442	305	29	viscoelastic	viscoelastic	ADJ
ejpam-4442	305	30	-	-	PUNCT
ejpam-4442	305	31	fluid	fluid	NOUN
ejpam-4442	305	32	-	-	PUNCT
ejpam-4442	305	33	filled	fill	VERB
ejpam-4442	305	34	cylindrical	cylindrical	ADJ
ejpam-4442	305	35	tube	tube	NOUN
ejpam-4442	305	36	.	.	PUNCT
ejpam-4442	306	1	journal	journal	PROPN
ejpam-4442	306	2	of	of	ADP
ejpam-4442	306	3	non	non	ADJ
ejpam-4442	306	4	-	-	ADJ
ejpam-4442	306	5	newtonian	newtonian	ADJ
ejpam-4442	306	6	fluid	fluid	ADJ
ejpam-4442	306	7	mechanics	mechanic	NOUN
ejpam-4442	306	8	,	,	PUNCT
ejpam-4442	306	9	66:169–192	66:169–192	PROPN
ejpam-4442	306	10	,	,	PUNCT
ejpam-4442	306	11	1996	1996	NUM
ejpam-4442	306	12	.	.	PUNCT
ejpam-4442	307	1	[	[	X
ejpam-4442	307	2	22	22	NUM
ejpam-4442	307	3	]	]	X
ejpam-4442	307	4	p	p	X
ejpam-4442	307	5	trevizoli	trevizoli	NOUN
ejpam-4442	307	6	,	,	PUNCT
ejpam-4442	307	7	y	y	PROPN
ejpam-4442	307	8	liu	liu	PROPN
ejpam-4442	307	9	,	,	PUNCT
ejpam-4442	307	10	a	a	DET
ejpam-4442	307	11	tura	tura	NOUN
ejpam-4442	307	12	,	,	PUNCT
ejpam-4442	307	13	a	a	DET
ejpam-4442	307	14	rowe	rowe	NOUN
ejpam-4442	307	15	,	,	PUNCT
ejpam-4442	307	16	and	and	CCONJ
ejpam-4442	307	17	j	j	PROPN
ejpam-4442	307	18	barbosa	barbosa	PROPN
ejpam-4442	307	19	.	.	PUNCT
ejpam-4442	308	1	experimental	experimental	ADJ
ejpam-4442	308	2	assessment	assessment	NOUN
ejpam-4442	308	3	of	of	ADP
ejpam-4442	308	4	the	the	DET
ejpam-4442	308	5	thermal	thermal	ADJ
ejpam-4442	308	6	–	–	PUNCT
ejpam-4442	308	7	hydraulic	hydraulic	ADJ
ejpam-4442	308	8	performance	performance	NOUN
ejpam-4442	308	9	of	of	ADP
ejpam-4442	308	10	packed	pack	VERB
ejpam-4442	308	11	-	-	PUNCT
ejpam-4442	308	12	sphere	sphere	NOUN
ejpam-4442	308	13	oscillating	oscillating	NOUN
ejpam-4442	308	14	-	-	PUNCT
ejpam-4442	308	15	flow	flow	NOUN
ejpam-4442	308	16	regenerators	regenerator	NOUN
ejpam-4442	308	17	using	use	VERB
ejpam-4442	308	18	water	water	NOUN
ejpam-4442	308	19	.	.	PUNCT
ejpam-4442	309	1	experimental	experimental	ADJ
ejpam-4442	309	2	thermal	thermal	ADJ
ejpam-4442	309	3	and	and	CCONJ
ejpam-4442	309	4	fluid	fluid	ADJ
ejpam-4442	309	5	science	science	NOUN
ejpam-4442	309	6	,	,	PUNCT
ejpam-4442	309	7	57:324–334	57:324–334	PROPN
ejpam-4442	309	8	,	,	PUNCT
ejpam-4442	309	9	2014	2014	NUM
ejpam-4442	309	10	.	.	PUNCT
ejpam-4442	310	1	[	[	X
ejpam-4442	310	2	23	23	NUM
ejpam-4442	310	3	]	]	X
ejpam-4442	310	4	r	r	NOUN
ejpam-4442	310	5	s	s	VERB
ejpam-4442	310	6	alassar	alassar	ADJ
ejpam-4442	310	7	and	and	CCONJ
ejpam-4442	310	8	h	h	NOUN
ejpam-4442	310	9	m	m	PROPN
ejpam-4442	310	10	badr	badr	PROPN
ejpam-4442	310	11	.	.	PUNCT
ejpam-4442	311	1	oscillating	oscillate	VERB
ejpam-4442	311	2	viscous	viscous	ADJ
ejpam-4442	311	3	flow	flow	NOUN
ejpam-4442	311	4	over	over	ADP
ejpam-4442	311	5	a	a	DET
ejpam-4442	311	6	sphere	sphere	NOUN
ejpam-4442	311	7	.	.	PUNCT
ejpam-4442	312	1	computers	computer	NOUN
ejpam-4442	312	2	fluids	fluid	NOUN
ejpam-4442	312	3	,	,	PUNCT
ejpam-4442	312	4	26:661–682	26:661–682	NUM
ejpam-4442	312	5	,	,	PUNCT
ejpam-4442	312	6	1997	1997	NUM
ejpam-4442	312	7	.	.	PUNCT
ejpam-4442	313	1	[	[	X
ejpam-4442	313	2	24	24	NUM
ejpam-4442	313	3	]	]	SYM
ejpam-4442	313	4	v	v	NOUN
ejpam-4442	313	5	polunin	polunin	NOUN
ejpam-4442	313	6	,	,	PUNCT
ejpam-4442	313	7	p	p	PROPN
ejpam-4442	313	8	ryapolov	ryapolov	NOUN
ejpam-4442	313	9	,	,	PUNCT
ejpam-4442	313	10	a	a	DET
ejpam-4442	313	11	zhakin	zhakin	NOUN
ejpam-4442	313	12	,	,	PUNCT
ejpam-4442	313	13	e	e	NOUN
ejpam-4442	313	14	shel’deshova	shel’deshova	PROPN
ejpam-4442	313	15	,	,	PUNCT
ejpam-4442	313	16	and	and	CCONJ
ejpam-4442	313	17	g	g	PROPN
ejpam-4442	313	18	karpova	karpova	PROPN
ejpam-4442	313	19	.	.	PUNCT
ejpam-4442	314	1	“	"	PUNCT
ejpam-4442	314	2	wall	wall	NOUN
ejpam-4442	314	3	viscosity	viscosity	NOUN
ejpam-4442	314	4	”	"	PUNCT
ejpam-4442	314	5	of	of	ADP
ejpam-4442	314	6	magnetic	magnetic	ADJ
ejpam-4442	314	7	fluid	fluid	NOUN
ejpam-4442	314	8	oscillations	oscillation	NOUN
ejpam-4442	314	9	in	in	ADP
ejpam-4442	314	10	a	a	DET
ejpam-4442	314	11	strong	strong	ADJ
ejpam-4442	314	12	magnetic	magnetic	ADJ
ejpam-4442	314	13	field	field	NOUN
ejpam-4442	314	14	.	.	PUNCT
ejpam-4442	315	1	russian	russian	ADJ
ejpam-4442	315	2	physics	physics	PROPN
ejpam-4442	315	3	journal	journal	PROPN
ejpam-4442	315	4	,	,	PUNCT
ejpam-4442	315	5	62:589–597	62:589–597	PROPN
ejpam-4442	315	6	,	,	PUNCT
ejpam-4442	315	7	2019	2019	NUM
ejpam-4442	315	8	.	.	PUNCT
ejpam-4442	316	1	references	reference	NOUN
ejpam-4442	316	2	1398	1398	NUM
ejpam-4442	316	3	[	[	X
ejpam-4442	316	4	25	25	NUM
ejpam-4442	316	5	]	]	X
ejpam-4442	316	6	p	p	PROPN
ejpam-4442	316	7	ryapolov	ryapolov	NOUN
ejpam-4442	316	8	,	,	PUNCT
ejpam-4442	316	9	v	v	ADP
ejpam-4442	316	10	polunin	polunin	NOUN
ejpam-4442	316	11	,	,	PUNCT
ejpam-4442	316	12	g	g	PROPN
ejpam-4442	316	13	alisher	alisher	NOUN
ejpam-4442	316	14	,	,	PUNCT
ejpam-4442	316	15	and	and	CCONJ
ejpam-4442	316	16	e	e	NOUN
ejpam-4442	316	17	shel’deshova	shel’deshova	PROPN
ejpam-4442	316	18	.	.	PUNCT
ejpam-4442	317	1	the	the	DET
ejpam-4442	317	2	influence	influence	NOUN
ejpam-4442	317	3	of	of	ADP
ejpam-4442	317	4	the	the	DET
ejpam-4442	317	5	viscosity	viscosity	NOUN
ejpam-4442	317	6	on	on	ADP
ejpam-4442	317	7	the	the	DET
ejpam-4442	317	8	oscillations	oscillation	NOUN
ejpam-4442	317	9	of	of	ADP
ejpam-4442	317	10	the	the	DET
ejpam-4442	317	11	element	element	NOUN
ejpam-4442	317	12	of	of	ADP
ejpam-4442	317	13	magnetic	magnetic	ADJ
ejpam-4442	317	14	fluid	fluid	NOUN
ejpam-4442	317	15	in	in	ADP
ejpam-4442	317	16	the	the	DET
ejpam-4442	317	17	magnetic	magnetic	ADJ
ejpam-4442	317	18	field	field	NOUN
ejpam-4442	317	19	.	.	PUNCT
ejpam-4442	318	1	in	in	ADP
ejpam-4442	318	2	:	:	PUNCT
ejpam-4442	318	3	epj	epj	NOUN
ejpam-4442	318	4	web	web	NOUN
ejpam-4442	318	5	of	of	ADP
ejpam-4442	318	6	conferences	conference	NOUN
ejpam-4442	318	7	,	,	PUNCT
ejpam-4442	318	8	edp	edp	NOUN
ejpam-4442	318	9	sciences	science	NOUN
ejpam-4442	318	10	,	,	PUNCT
ejpam-4442	318	11	page	page	NOUN
ejpam-4442	318	12	00061	00061	NUM
ejpam-4442	318	13	,	,	PUNCT
ejpam-4442	318	14	2019	2019	NUM
ejpam-4442	318	15	.	.	PUNCT
ejpam-4442	319	1	[	[	X
ejpam-4442	319	2	26	26	NUM
ejpam-4442	319	3	]	]	X
ejpam-4442	319	4	o	o	X
ejpam-4442	319	5	ustundag	ustundag	NOUN
ejpam-4442	319	6	,	,	PUNCT
ejpam-4442	319	7	n	n	PRON
ejpam-4442	319	8	bakir	bakir	NOUN
ejpam-4442	319	9	,	,	PUNCT
ejpam-4442	319	10	a	a	DET
ejpam-4442	319	11	gumenyuk	gumenyuk	NOUN
ejpam-4442	319	12	,	,	PUNCT
ejpam-4442	319	13	and	and	CCONJ
ejpam-4442	319	14	m	m	PROPN
ejpam-4442	319	15	rethmeier	rethmeier	NOUN
ejpam-4442	319	16	.	.	PUNCT
ejpam-4442	320	1	influence	influence	NOUN
ejpam-4442	320	2	of	of	ADP
ejpam-4442	320	3	oscillating	oscillate	VERB
ejpam-4442	320	4	magnetic	magnetic	ADJ
ejpam-4442	320	5	field	field	NOUN
ejpam-4442	320	6	on	on	ADP
ejpam-4442	320	7	the	the	DET
ejpam-4442	320	8	keyhole	keyhole	NOUN
ejpam-4442	320	9	stability	stability	NOUN
ejpam-4442	320	10	in	in	ADP
ejpam-4442	320	11	deep	deep	ADJ
ejpam-4442	320	12	penetration	penetration	NOUN
ejpam-4442	320	13	laser	laser	NOUN
ejpam-4442	320	14	beam	beam	NOUN
ejpam-4442	320	15	welding	welding	NOUN
ejpam-4442	320	16	.	.	PUNCT
ejpam-4442	321	1	optics	optic	NOUN
ejpam-4442	321	2	laser	laser	NOUN
ejpam-4442	321	3	technology	technology	NOUN
ejpam-4442	321	4	,	,	PUNCT
ejpam-4442	321	5	135:106715	135:106715	NUM
ejpam-4442	321	6	,	,	PUNCT
ejpam-4442	321	7	2021	2021	NUM
ejpam-4442	321	8	.	.	PUNCT
ejpam-4442	322	1	[	[	X
ejpam-4442	322	2	27	27	NUM
ejpam-4442	322	3	]	]	X
ejpam-4442	322	4	m	m	VERB
ejpam-4442	322	5	s	s	NOUN
ejpam-4442	322	6	faltas	falta	NOUN
ejpam-4442	322	7	and	and	CCONJ
ejpam-4442	322	8	s	s	NOUN
ejpam-4442	322	9	el	el	PROPN
ejpam-4442	322	10	-	-	PUNCT
ejpam-4442	322	11	sapa	sapa	NOUN
ejpam-4442	322	12	.	.	PUNCT
ejpam-4442	323	1	rectilinear	rectilinear	ADJ
ejpam-4442	323	2	oscillations	oscillation	NOUN
ejpam-4442	323	3	of	of	ADP
ejpam-4442	323	4	two	two	NUM
ejpam-4442	323	5	spherical	spherical	ADJ
ejpam-4442	323	6	particles	particle	NOUN
ejpam-4442	323	7	embedded	embed	VERB
ejpam-4442	323	8	in	in	ADP
ejpam-4442	323	9	an	an	DET
ejpam-4442	323	10	unbounded	unbounded	ADJ
ejpam-4442	323	11	viscous	viscous	ADJ
ejpam-4442	323	12	fluid	fluid	NOUN
ejpam-4442	323	13	.	.	PUNCT
ejpam-4442	324	1	microsystem	microsystem	NOUN
ejpam-4442	324	2	technologies	technology	NOUN
ejpam-4442	324	3	,	,	PUNCT
ejpam-4442	324	4	25:39–49	25:39–49	NUM
ejpam-4442	324	5	,	,	PUNCT
ejpam-4442	324	6	2019	2019	NUM
ejpam-4442	324	7	.	.	PUNCT
ejpam-4442	325	1	[	[	X
ejpam-4442	325	2	28	28	NUM
ejpam-4442	325	3	]	]	X
ejpam-4442	325	4	h	h	NOUN
ejpam-4442	325	5	sherief	sherief	NOUN
ejpam-4442	325	6	,	,	PUNCT
ejpam-4442	325	7	m	m	VERB
ejpam-4442	325	8	faltas	falta	NOUN
ejpam-4442	325	9	,	,	PUNCT
ejpam-4442	325	10	and	and	CCONJ
ejpam-4442	325	11	s	s	VERB
ejpam-4442	325	12	el	el	PROPN
ejpam-4442	325	13	-	-	PUNCT
ejpam-4442	325	14	sapa	sapa	NOUN
ejpam-4442	325	15	.	.	PUNCT
ejpam-4442	326	1	force	force	NOUN
ejpam-4442	326	2	on	on	ADP
ejpam-4442	326	3	a	a	DET
ejpam-4442	326	4	spherical	spherical	ADJ
ejpam-4442	326	5	particle	particle	NOUN
ejpam-4442	326	6	oscillating	oscillate	VERB
ejpam-4442	326	7	in	in	ADP
ejpam-4442	326	8	a	a	DET
ejpam-4442	326	9	viscous	viscous	ADJ
ejpam-4442	326	10	fluid	fluid	NOUN
ejpam-4442	326	11	perpendicular	perpendicular	NOUN
ejpam-4442	326	12	to	to	ADP
ejpam-4442	326	13	an	an	DET
ejpam-4442	326	14	impermeable	impermeable	ADJ
ejpam-4442	326	15	plane	plane	NOUN
ejpam-4442	326	16	wall	wall	NOUN
ejpam-4442	326	17	.	.	PUNCT
ejpam-4442	327	1	journal	journal	PROPN
ejpam-4442	327	2	of	of	ADP
ejpam-4442	327	3	the	the	DET
ejpam-4442	327	4	brazilian	brazilian	ADJ
ejpam-4442	327	5	society	society	NOUN
ejpam-4442	327	6	of	of	ADP
ejpam-4442	327	7	mechanical	mechanical	ADJ
ejpam-4442	327	8	sciences	science	NOUN
ejpam-4442	327	9	and	and	CCONJ
ejpam-4442	327	10	engineering	engineering	NOUN
ejpam-4442	327	11	,	,	PUNCT
ejpam-4442	327	12	41:1–10	41:1–10	NUM
ejpam-4442	327	13	,	,	PUNCT
ejpam-4442	327	14	2019	2019	NUM
ejpam-4442	327	15	.	.	PUNCT
ejpam-4442	328	1	[	[	X
ejpam-4442	328	2	29	29	NUM
ejpam-4442	328	3	]	]	X
ejpam-4442	328	4	e	e	X
ejpam-4442	328	5	a	a	DET
ejpam-4442	328	6	ashmawy	ashmawy	NOUN
ejpam-4442	328	7	.	.	PUNCT
ejpam-4442	329	1	rotary	rotary	ADJ
ejpam-4442	329	2	oscillation	oscillation	NOUN
ejpam-4442	329	3	of	of	ADP
ejpam-4442	329	4	a	a	DET
ejpam-4442	329	5	composite	composite	ADJ
ejpam-4442	329	6	sphere	sphere	NOUN
ejpam-4442	329	7	in	in	ADP
ejpam-4442	329	8	a	a	DET
ejpam-4442	329	9	concentric	concentric	ADJ
ejpam-4442	329	10	spherical	spherical	ADJ
ejpam-4442	329	11	cavity	cavity	NOUN
ejpam-4442	329	12	using	use	VERB
ejpam-4442	329	13	slip	slip	NOUN
ejpam-4442	329	14	and	and	CCONJ
ejpam-4442	329	15	stress	stress	NOUN
ejpam-4442	329	16	jump	jump	NOUN
ejpam-4442	329	17	conditions	condition	NOUN
ejpam-4442	329	18	.	.	PUNCT
ejpam-4442	330	1	the	the	DET
ejpam-4442	330	2	european	european	PROPN
ejpam-4442	330	3	physical	physical	PROPN
ejpam-4442	330	4	journal	journal	PROPN
ejpam-4442	330	5	plus	plus	CCONJ
ejpam-4442	330	6	,	,	PUNCT
ejpam-4442	330	7	130:163	130:163	NUM
ejpam-4442	330	8	,	,	PUNCT
ejpam-4442	330	9	2015	2015	NUM
ejpam-4442	330	10	.	.	PUNCT
ejpam-4442	331	1	[	[	X
ejpam-4442	331	2	30	30	NUM
ejpam-4442	331	3	]	]	X
ejpam-4442	331	4	c	c	PROPN
ejpam-4442	331	5	a	a	DET
ejpam-4442	331	6	sweeney	sweeney	NOUN
ejpam-4442	331	7	,	,	PUNCT
ejpam-4442	331	8	w	w	PROPN
ejpam-4442	331	9	vorster	vorster	PROPN
ejpam-4442	331	10	,	,	PUNCT
ejpam-4442	331	11	s	s	PROPN
ejpam-4442	331	12	b	b	X
ejpam-4442	331	13	leen	leen	X
ejpam-4442	331	14	,	,	PUNCT
ejpam-4442	331	15	e	e	PROPN
ejpam-4442	331	16	sakurada	sakurada	PROPN
ejpam-4442	331	17	,	,	PUNCT
ejpam-4442	331	18	p	p	PROPN
ejpam-4442	331	19	e	e	PROPN
ejpam-4442	331	20	mchugh	mchugh	PROPN
ejpam-4442	331	21	,	,	PUNCT
ejpam-4442	331	22	and	and	CCONJ
ejpam-4442	331	23	f	f	PROPN
ejpam-4442	331	24	p	p	PROPN
ejpam-4442	331	25	e	e	PROPN
ejpam-4442	331	26	dunne	dunne	PROPN
ejpam-4442	331	27	.	.	PUNCT
ejpam-4442	332	1	the	the	DET
ejpam-4442	332	2	role	role	NOUN
ejpam-4442	332	3	of	of	ADP
ejpam-4442	332	4	elastic	elastic	ADJ
ejpam-4442	332	5	anisotropy	anisotropy	NOUN
ejpam-4442	332	6	,	,	PUNCT
ejpam-4442	332	7	length	length	NOUN
ejpam-4442	332	8	scale	scale	NOUN
ejpam-4442	332	9	and	and	CCONJ
ejpam-4442	332	10	crystallographic	crystallographic	ADJ
ejpam-4442	332	11	slip	slip	NOUN
ejpam-4442	332	12	in	in	ADP
ejpam-4442	332	13	fatigue	fatigue	NOUN
ejpam-4442	332	14	crack	crack	NOUN
ejpam-4442	332	15	nucleation	nucleation	NOUN
ejpam-4442	332	16	.	.	PUNCT
ejpam-4442	333	1	journal	journal	NOUN
ejpam-4442	333	2	of	of	ADP
ejpam-4442	333	3	the	the	DET
ejpam-4442	333	4	mechanics	mechanic	NOUN
ejpam-4442	333	5	and	and	CCONJ
ejpam-4442	333	6	physics	physic	NOUN
ejpam-4442	333	7	of	of	ADP
ejpam-4442	333	8	solids	solid	NOUN
ejpam-4442	333	9	,	,	PUNCT
ejpam-4442	333	10	61:1224–1240	61:1224–1240	NUM
ejpam-4442	333	11	,	,	PUNCT
ejpam-4442	333	12	2013	2013	NUM
ejpam-4442	333	13	.	.	PUNCT
ejpam-4442	334	1	[	[	X
ejpam-4442	334	2	31	31	NUM
ejpam-4442	334	3	]	]	PUNCT
ejpam-4442	334	4	l	l	PROPN
ejpam-4442	334	5	basnayaka	basnayaka	PROPN
ejpam-4442	334	6	,	,	PUNCT
ejpam-4442	334	7	b	b	NOUN
ejpam-4442	334	8	albijanic	albijanic	NOUN
ejpam-4442	334	9	,	,	PUNCT
ejpam-4442	334	10	n	n	PRON
ejpam-4442	334	11	subasinghe	subasinghe	ADJ
ejpam-4442	334	12	,	,	PUNCT
ejpam-4442	334	13	and	and	CCONJ
ejpam-4442	334	14	r	r	NOUN
ejpam-4442	334	15	panjipour	panjipour	NOUN
ejpam-4442	334	16	.	.	PUNCT
ejpam-4442	335	1	influence	influence	NOUN
ejpam-4442	335	2	of	of	ADP
ejpam-4442	335	3	slip	slip	NOUN
ejpam-4442	335	4	length	length	NOUN
ejpam-4442	335	5	on	on	ADP
ejpam-4442	335	6	filtration	filtration	NOUN
ejpam-4442	335	7	performance	performance	NOUN
ejpam-4442	335	8	of	of	ADP
ejpam-4442	335	9	fine	fine	ADJ
ejpam-4442	335	10	particles	particle	NOUN
ejpam-4442	335	11	.	.	PUNCT
ejpam-4442	336	1	powder	powder	NOUN
ejpam-4442	336	2	technology	technology	NOUN
ejpam-4442	336	3	,	,	PUNCT
ejpam-4442	336	4	32:1333–1340	32:1333–1340	NUM
ejpam-4442	336	5	,	,	PUNCT
ejpam-4442	336	6	2021	2021	NUM
ejpam-4442	336	7	.	.	PUNCT
ejpam-4442	337	1	[	[	X
ejpam-4442	337	2	32	32	NUM
ejpam-4442	337	3	]	]	X
ejpam-4442	337	4	c	c	NOUN
ejpam-4442	337	5	sulochana	sulochana	PROPN
ejpam-4442	337	6	,	,	PUNCT
ejpam-4442	337	7	s	s	VERB
ejpam-4442	337	8	p	p	NOUN
ejpam-4442	337	9	samrat	samrat	NOUN
ejpam-4442	337	10	,	,	PUNCT
ejpam-4442	337	11	and	and	CCONJ
ejpam-4442	337	12	n	n	DET
ejpam-4442	337	13	sandeep	sandeep	NOUN
ejpam-4442	337	14	.	.	PUNCT
ejpam-4442	338	1	numerical	numerical	ADJ
ejpam-4442	338	2	investigation	investigation	NOUN
ejpam-4442	338	3	of	of	ADP
ejpam-4442	338	4	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-4442	338	5	(	(	PUNCT
ejpam-4442	338	6	mhd	mhd	NOUN
ejpam-4442	338	7	)	)	PUNCT
ejpam-4442	338	8	radiative	radiative	ADJ
ejpam-4442	338	9	flow	flow	NOUN
ejpam-4442	338	10	over	over	ADP
ejpam-4442	338	11	a	a	DET
ejpam-4442	338	12	rotating	rotate	VERB
ejpam-4442	338	13	cone	cone	NOUN
ejpam-4442	338	14	in	in	ADP
ejpam-4442	338	15	the	the	DET
ejpam-4442	338	16	presence	presence	NOUN
ejpam-4442	338	17	of	of	ADP
ejpam-4442	338	18	soret	soret	NOUN
ejpam-4442	338	19	and	and	CCONJ
ejpam-4442	338	20	chemical	chemical	NOUN
ejpam-4442	338	21	reaction	reaction	NOUN
ejpam-4442	338	22	advanced	advance	VERB
ejpam-4442	338	23	.	.	PUNCT
ejpam-4442	339	1	propulsion	propulsion	NOUN
ejpam-4442	339	2	and	and	CCONJ
ejpam-4442	339	3	power	power	NOUN
ejpam-4442	339	4	research	research	NOUN
ejpam-4442	339	5	,	,	PUNCT
ejpam-4442	339	6	7:91–101	7:91–101	NUM
ejpam-4442	339	7	,	,	PUNCT
ejpam-4442	339	8	2018	2018	NUM
ejpam-4442	339	9	.	.	PUNCT
ejpam-4442	340	1	[	[	X
ejpam-4442	340	2	33	33	NUM
ejpam-4442	340	3	]	]	PUNCT
ejpam-4442	340	4	m	m	PROPN
ejpam-4442	340	5	veera	veera	NOUN
ejpam-4442	340	6	krishna	krishna	PROPN
ejpam-4442	340	7	,	,	PUNCT
ejpam-4442	340	8	n	n	CCONJ
ejpam-4442	340	9	a	a	DET
ejpam-4442	340	10	ahamad	ahamad	NOUN
ejpam-4442	340	11	,	,	PUNCT
ejpam-4442	340	12	and	and	CCONJ
ejpam-4442	340	13	a	a	DET
ejpam-4442	340	14	j	j	NOUN
ejpam-4442	340	15	chamkha	chamkha	NOUN
ejpam-4442	340	16	.	.	PUNCT
ejpam-4442	341	1	numerical	numerical	ADJ
ejpam-4442	341	2	investigation	investigation	NOUN
ejpam-4442	341	3	on	on	ADP
ejpam-4442	341	4	unsteady	unsteady	ADJ
ejpam-4442	341	5	mhd	mhd	NOUN
ejpam-4442	341	6	convective	convective	ADJ
ejpam-4442	341	7	rotating	rotating	NOUN
ejpam-4442	341	8	flow	flow	NOUN
ejpam-4442	341	9	past	past	ADP
ejpam-4442	341	10	an	an	DET
ejpam-4442	341	11	infinite	infinite	ADJ
ejpam-4442	341	12	vertical	vertical	ADJ
ejpam-4442	341	13	moving	move	VERB
ejpam-4442	341	14	porous	porous	ADJ
ejpam-4442	341	15	surface	surface	NOUN
ejpam-4442	341	16	.	.	PUNCT
ejpam-4442	342	1	ain	ain	PROPN
ejpam-4442	342	2	shams	sham	VERB
ejpam-4442	342	3	engineering	engineering	NOUN
ejpam-4442	342	4	journal	journal	NOUN
ejpam-4442	342	5	,	,	PUNCT
ejpam-4442	342	6	12:2099–2109	12:2099–2109	NUM
ejpam-4442	342	7	,	,	PUNCT
ejpam-4442	342	8	2021	2021	NUM
ejpam-4442	342	9	.	.	PUNCT
ejpam-4442	343	1	[	[	X
ejpam-4442	343	2	34	34	NUM
ejpam-4442	343	3	]	]	X
ejpam-4442	343	4	e	e	X
ejpam-4442	343	5	a	a	DET
ejpam-4442	343	6	ashmawy	ashmawy	PROPN
ejpam-4442	343	7	.	.	PUNCT
ejpam-4442	344	1	wall	wall	NOUN
ejpam-4442	344	2	effects	effect	NOUN
ejpam-4442	344	3	on	on	ADP
ejpam-4442	344	4	a	a	DET
ejpam-4442	344	5	rigid	rigid	ADJ
ejpam-4442	344	6	sphere	sphere	NOUN
ejpam-4442	344	7	moving	move	VERB
ejpam-4442	344	8	perpendicular	perpendicular	ADJ
ejpam-4442	344	9	to	to	ADP
ejpam-4442	344	10	a	a	DET
ejpam-4442	344	11	plane	plane	NOUN
ejpam-4442	344	12	wall	wall	NOUN
ejpam-4442	344	13	in	in	ADP
ejpam-4442	344	14	a	a	DET
ejpam-4442	344	15	couple	couple	NOUN
ejpam-4442	344	16	stress	stress	NOUN
ejpam-4442	344	17	fluid	fluid	NOUN
ejpam-4442	344	18	filling	fill	VERB
ejpam-4442	344	19	a	a	DET
ejpam-4442	344	20	half	half	ADJ
ejpam-4442	344	21	-	-	PUNCT
ejpam-4442	344	22	space	space	NOUN
ejpam-4442	344	23	.	.	PUNCT
ejpam-4442	345	1	european	european	ADJ
ejpam-4442	345	2	journal	journal	PROPN
ejpam-4442	345	3	of	of	ADP
ejpam-4442	345	4	mechanics	mechanics	PROPN
ejpam-4442	345	5	b	b	PROPN
ejpam-4442	345	6	/	/	SYM
ejpam-4442	345	7	fluids	fluid	NOUN
ejpam-4442	345	8	,	,	PUNCT
ejpam-4442	345	9	74:380–388	74:380–388	NUM
ejpam-4442	345	10	,	,	PUNCT
ejpam-4442	345	11	2019	2019	NUM
ejpam-4442	345	12	.	.	PUNCT
ejpam-4442	346	1	[	[	X
ejpam-4442	346	2	35	35	NUM
ejpam-4442	346	3	]	]	SYM
ejpam-4442	346	4	s	s	PART
ejpam-4442	346	5	el	el	PROPN
ejpam-4442	346	6	-	-	PUNCT
ejpam-4442	346	7	sapa	sapa	NOUN
ejpam-4442	346	8	,	,	PUNCT
ejpam-4442	346	9	e	e	PROPN
ejpam-4442	346	10	i	i	PRON
ejpam-4442	346	11	saad	saad	VERB
ejpam-4442	346	12	,	,	PUNCT
ejpam-4442	346	13	and	and	CCONJ
ejpam-4442	346	14	m	m	PROPN
ejpam-4442	346	15	s	s	NOUN
ejpam-4442	346	16	faltas	falta	NOUN
ejpam-4442	346	17	.	.	PUNCT
ejpam-4442	347	1	axisymmetric	axisymmetric	ADJ
ejpam-4442	347	2	motion	motion	NOUN
ejpam-4442	347	3	of	of	ADP
ejpam-4442	347	4	two	two	NUM
ejpam-4442	347	5	spherical	spherical	ADJ
ejpam-4442	347	6	particles	particle	NOUN
ejpam-4442	347	7	in	in	ADP
ejpam-4442	347	8	a	a	DET
ejpam-4442	347	9	brinkman	brinkman	NOUN
ejpam-4442	347	10	medium	medium	NOUN
ejpam-4442	347	11	with	with	ADP
ejpam-4442	347	12	slip	slip	NOUN
ejpam-4442	347	13	surfaces	surface	NOUN
ejpam-4442	347	14	.	.	PUNCT
ejpam-4442	348	1	european	european	ADJ
ejpam-4442	348	2	journal	journal	PROPN
ejpam-4442	348	3	of	of	ADP
ejpam-4442	348	4	mechanics	mechanics	PROPN
ejpam-4442	348	5	b	b	PROPN
ejpam-4442	348	6	/	/	SYM
ejpam-4442	348	7	fluids	fluid	NOUN
ejpam-4442	348	8	,	,	PUNCT
ejpam-4442	348	9	67:306–313	67:306–313	PROPN
ejpam-4442	348	10	,	,	PUNCT
ejpam-4442	348	11	2018	2018	NUM
ejpam-4442	348	12	.	.	PUNCT
ejpam-4442	349	1	[	[	X
ejpam-4442	349	2	36	36	NUM
ejpam-4442	349	3	]	]	X
ejpam-4442	349	4	h	h	NOUN
ejpam-4442	349	5	h	h	PROPN
ejpam-4442	349	6	sherief	sherief	NOUN
ejpam-4442	349	7	,	,	PUNCT
ejpam-4442	349	8	m	m	PROPN
ejpam-4442	349	9	s	s	NOUN
ejpam-4442	349	10	faltas	falta	NOUN
ejpam-4442	349	11	,	,	PUNCT
ejpam-4442	349	12	and	and	CCONJ
ejpam-4442	349	13	s	s	VERB
ejpam-4442	349	14	el	el	PROPN
ejpam-4442	349	15	-	-	PUNCT
ejpam-4442	349	16	sapa	sapa	NOUN
ejpam-4442	349	17	.	.	PUNCT
ejpam-4442	350	1	axisymmetric	axisymmetric	ADJ
ejpam-4442	350	2	creeping	creep	VERB
ejpam-4442	350	3	motion	motion	NOUN
ejpam-4442	350	4	caused	cause	VERB
ejpam-4442	350	5	by	by	ADP
ejpam-4442	350	6	a	a	DET
ejpam-4442	350	7	spherical	spherical	ADJ
ejpam-4442	350	8	particle	particle	NOUN
ejpam-4442	350	9	in	in	ADP
ejpam-4442	350	10	a	a	DET
ejpam-4442	350	11	micropolar	micropolar	ADJ
ejpam-4442	350	12	fluid	fluid	NOUN
ejpam-4442	350	13	within	within	ADP
ejpam-4442	350	14	a	a	DET
ejpam-4442	350	15	nonconcentric	nonconcentric	ADJ
ejpam-4442	350	16	spherical	spherical	ADJ
ejpam-4442	350	17	cavity	cavity	NOUN
ejpam-4442	350	18	.	.	PUNCT
ejpam-4442	351	1	european	european	ADJ
ejpam-4442	351	2	journal	journal	PROPN
ejpam-4442	351	3	of	of	ADP
ejpam-4442	351	4	mechanics	mechanics	PROPN
ejpam-4442	351	5	b	b	PROPN
ejpam-4442	351	6	/	/	SYM
ejpam-4442	351	7	fluids	fluid	NOUN
ejpam-4442	351	8	,	,	PUNCT
ejpam-4442	351	9	77:211–220	77:211–220	PROPN
ejpam-4442	351	10	,	,	PUNCT
ejpam-4442	351	11	2019	2019	NUM
ejpam-4442	351	12	.	.	PUNCT
ejpam-4442	352	1	references	reference	NOUN
ejpam-4442	352	2	1399	1399	NUM
ejpam-4442	353	1	[	[	X
ejpam-4442	353	2	37	37	NUM
ejpam-4442	353	3	]	]	X
ejpam-4442	353	4	h	h	NOUN
ejpam-4442	353	5	h	h	PROPN
ejpam-4442	353	6	sherief	sherief	NOUN
ejpam-4442	353	7	,	,	PUNCT
ejpam-4442	353	8	m	m	PROPN
ejpam-4442	353	9	s	s	NOUN
ejpam-4442	353	10	faltas	falta	NOUN
ejpam-4442	353	11	,	,	PUNCT
ejpam-4442	353	12	and	and	CCONJ
ejpam-4442	353	13	s	s	VERB
ejpam-4442	353	14	el	el	PROPN
ejpam-4442	353	15	-	-	PUNCT
ejpam-4442	353	16	sapa	sapa	NOUN
ejpam-4442	353	17	.	.	PUNCT
ejpam-4442	354	1	interaction	interaction	NOUN
ejpam-4442	354	2	between	between	ADP
ejpam-4442	354	3	two	two	NUM
ejpam-4442	354	4	rigid	rigid	ADJ
ejpam-4442	354	5	spheres	sphere	NOUN
ejpam-4442	354	6	moving	move	VERB
ejpam-4442	354	7	in	in	ADP
ejpam-4442	354	8	a	a	DET
ejpam-4442	354	9	micropolar	micropolar	ADJ
ejpam-4442	354	10	fluid	fluid	NOUN
ejpam-4442	354	11	with	with	ADP
ejpam-4442	354	12	slip	slip	NOUN
ejpam-4442	354	13	surfaces	surface	NOUN
ejpam-4442	354	14	.	.	PUNCT
ejpam-4442	355	1	journal	journal	NOUN
ejpam-4442	355	2	of	of	ADP
ejpam-4442	355	3	molecular	molecular	ADJ
ejpam-4442	355	4	liquids	liquid	NOUN
ejpam-4442	355	5	,	,	PUNCT
ejpam-4442	355	6	290:111165	290:111165	NUM
ejpam-4442	355	7	,	,	PUNCT
ejpam-4442	355	8	2019	2019	NUM
ejpam-4442	355	9	.	.	PUNCT
ejpam-4442	356	1	[	[	X
ejpam-4442	356	2	38	38	NUM
ejpam-4442	356	3	]	]	SYM
ejpam-4442	356	4	s	s	PART
ejpam-4442	356	5	el	el	PROPN
ejpam-4442	356	6	-	-	PUNCT
ejpam-4442	356	7	sapa	sapa	NOUN
ejpam-4442	356	8	.	.	PUNCT
ejpam-4442	357	1	interaction	interaction	NOUN
ejpam-4442	357	2	between	between	ADP
ejpam-4442	357	3	a	a	DET
ejpam-4442	357	4	non	non	ADJ
ejpam-4442	357	5	-	-	ADJ
ejpam-4442	357	6	concentric	concentric	ADJ
ejpam-4442	357	7	rigid	rigid	ADJ
ejpam-4442	357	8	sphere	sphere	NOUN
ejpam-4442	357	9	immersed	immerse	VERB
ejpam-4442	357	10	in	in	ADP
ejpam-4442	357	11	a	a	DET
ejpam-4442	357	12	micropolar	micropolar	ADJ
ejpam-4442	357	13	fluid	fluid	NOUN
ejpam-4442	357	14	and	and	CCONJ
ejpam-4442	357	15	a	a	DET
ejpam-4442	357	16	spherical	spherical	ADJ
ejpam-4442	357	17	envelope	envelope	NOUN
ejpam-4442	357	18	with	with	ADP
ejpam-4442	357	19	slip	slip	NOUN
ejpam-4442	357	20	regime	regime	NOUN
ejpam-4442	357	21	.	.	PUNCT
ejpam-4442	358	1	journal	journal	NOUN
ejpam-4442	358	2	of	of	ADP
ejpam-4442	358	3	molecular	molecular	ADJ
ejpam-4442	358	4	liquids	liquid	NOUN
ejpam-4442	358	5	,	,	PUNCT
ejpam-4442	358	6	351:118611	351:118611	NUM
ejpam-4442	358	7	,	,	PUNCT
ejpam-4442	358	8	2022	2022	NUM
ejpam-4442	358	9	.	.	PUNCT
ejpam-4442	359	1	[	[	X
ejpam-4442	359	2	39	39	NUM
ejpam-4442	359	3	]	]	SYM
ejpam-4442	359	4	s	s	PART
ejpam-4442	359	5	el	el	PROPN
ejpam-4442	359	6	-	-	PUNCT
ejpam-4442	359	7	sapa	sapa	PROPN
ejpam-4442	359	8	and	and	CCONJ
ejpam-4442	359	9	m	m	NOUN
ejpam-4442	359	10	s	s	NOUN
ejpam-4442	359	11	faltas	falta	NOUN
ejpam-4442	359	12	.	.	PUNCT
ejpam-4442	360	1	mobilities	mobility	NOUN
ejpam-4442	360	2	of	of	ADP
ejpam-4442	360	3	two	two	NUM
ejpam-4442	360	4	spherical	spherical	ADJ
ejpam-4442	360	5	particles	particle	NOUN
ejpam-4442	360	6	immersed	immerse	VERB
ejpam-4442	360	7	in	in	ADP
ejpam-4442	360	8	a	a	DET
ejpam-4442	360	9	magnetomicropolar	magnetomicropolar	ADJ
ejpam-4442	360	10	fluid	fluid	NOUN
ejpam-4442	360	11	.	.	PUNCT
ejpam-4442	361	1	physics	physics	PROPN
ejpam-4442	361	2	of	of	ADP
ejpam-4442	361	3	fluids	fluid	NOUN
ejpam-4442	361	4	,	,	PUNCT
ejpam-4442	361	5	34:013104	34:013104	NOUN
ejpam-4442	361	6	,	,	PUNCT
ejpam-4442	361	7	2022	2022	NUM
ejpam-4442	361	8	.	.	PUNCT
ejpam-4442	362	1	[	[	X
ejpam-4442	362	2	40	40	NUM
ejpam-4442	362	3	]	]	PUNCT
ejpam-4442	362	4	p	p	X
ejpam-4442	362	5	k	k	PROPN
ejpam-4442	362	6	yadav	yadav	PROPN
ejpam-4442	362	7	,	,	PUNCT
ejpam-4442	362	8	s	s	PART
ejpam-4442	362	9	deo	deo	NOUN
ejpam-4442	362	10	,	,	PUNCT
ejpam-4442	362	11	s	s	PART
ejpam-4442	362	12	p	p	NOUN
ejpam-4442	362	13	singh	singh	PROPN
ejpam-4442	362	14	,	,	PUNCT
ejpam-4442	362	15	and	and	CCONJ
ejpam-4442	362	16	a	a	DET
ejpam-4442	362	17	filippov	filippov	NOUN
ejpam-4442	362	18	.	.	PUNCT
ejpam-4442	363	1	effect	effect	NOUN
ejpam-4442	363	2	of	of	ADP
ejpam-4442	363	3	magnetic	magnetic	ADJ
ejpam-4442	363	4	field	field	NOUN
ejpam-4442	363	5	on	on	ADP
ejpam-4442	363	6	the	the	DET
ejpam-4442	363	7	hydrodynamic	hydrodynamic	ADJ
ejpam-4442	363	8	permeability	permeability	NOUN
ejpam-4442	363	9	of	of	ADP
ejpam-4442	363	10	a	a	DET
ejpam-4442	363	11	membrane	membrane	NOUN
ejpam-4442	363	12	built	build	VERB
ejpam-4442	363	13	up	up	ADP
ejpam-4442	363	14	by	by	ADP
ejpam-4442	363	15	porous	porous	ADJ
ejpam-4442	363	16	spherical	spherical	ADJ
ejpam-4442	363	17	particles	particle	NOUN
ejpam-4442	363	18	.	.	PUNCT
ejpam-4442	364	1	colloid	colloid	PROPN
ejpam-4442	364	2	journal	journal	NOUN
ejpam-4442	364	3	,	,	PUNCT
ejpam-4442	364	4	79:160–171	79:160–171	PROPN
ejpam-4442	364	5	,	,	PUNCT
ejpam-4442	364	6	2017	2017	NUM
ejpam-4442	364	7	.	.	PUNCT
ejpam-4442	365	1	[	[	X
ejpam-4442	365	2	41	41	NUM
ejpam-4442	365	3	]	]	X
ejpam-4442	365	4	j	j	PROPN
ejpam-4442	365	5	happel	happel	PROPN
ejpam-4442	365	6	and	and	CCONJ
ejpam-4442	365	7	h	h	PROPN
ejpam-4442	365	8	brenner	brenner	PROPN
ejpam-4442	365	9	.	.	PUNCT
ejpam-4442	366	1	low	low	PROPN
ejpam-4442	366	2	reynolds	reynolds	PROPN
ejpam-4442	366	3	number	number	NOUN
ejpam-4442	366	4	flow	flow	NOUN
ejpam-4442	366	5	hydrodynamics	hydrodynamic	NOUN
ejpam-4442	366	6	.	.	PUNCT
ejpam-4442	367	1	martinus	martinus	PROPN
ejpam-4442	367	2	nijhoff	nijhoff	PROPN
ejpam-4442	367	3	publishers	publisher	NOUN
ejpam-4442	367	4	,	,	PUNCT
ejpam-4442	367	5	the	the	DET
ejpam-4442	367	6	hague	hague	NOUN
ejpam-4442	367	7	,	,	PUNCT
ejpam-4442	367	8	1983	1983	NUM
ejpam-4442	367	9	.	.	PUNCT
ejpam-4442	368	1	[	[	X
ejpam-4442	368	2	42	42	NUM
ejpam-4442	368	3	]	]	PUNCT
ejpam-4442	368	4	willers	willer	NOUN
ejpam-4442	368	5	,	,	PUNCT
ejpam-4442	368	6	a.	a.	PROPN
ejpam-4442	368	7	erdélyi	erdélyi	PROPN
ejpam-4442	368	8	,	,	PUNCT
ejpam-4442	368	9	w.	w.	PROPN
ejpam-4442	368	10	magnus	magnus	PROPN
ejpam-4442	368	11	,	,	PUNCT
ejpam-4442	368	12	f.	f.	PROPN
ejpam-4442	368	13	oberhettinger	oberhettinger	PROPN
ejpam-4442	368	14	,	,	PUNCT
ejpam-4442	368	15	and	and	CCONJ
ejpam-4442	368	16	f.	f.	PROPN
ejpam-4442	368	17	g.	g.	PROPN
ejpam-4442	368	18	tricomi	tricomi	PROPN
ejpam-4442	368	19	.	.	PUNCT
ejpam-4442	369	1	tables	table	NOUN
ejpam-4442	369	2	of	of	ADP
ejpam-4442	369	3	integral	integral	ADJ
ejpam-4442	369	4	transforms	transform	NOUN
ejpam-4442	369	5	.	.	PUNCT
ejpam-4442	370	1	vol	vol	NOUN
ejpam-4442	370	2	.	.	PUNCT
ejpam-4442	370	3	i.	i.	PROPN
ejpam-4442	370	4	(	(	PUNCT
ejpam-4442	370	5	based	base	VERB
ejpam-4442	370	6	,	,	PUNCT
ejpam-4442	370	7	in	in	ADP
ejpam-4442	370	8	part	part	NOUN
ejpam-4442	370	9	,	,	PUNCT
ejpam-4442	370	10	on	on	ADP
ejpam-4442	370	11	notes	note	NOUN
ejpam-4442	370	12	left	leave	VERB
ejpam-4442	370	13	by	by	ADP
ejpam-4442	370	14	harry	harry	PROPN
ejpam-4442	370	15	batemann	batemann	PROPN
ejpam-4442	370	16	,	,	PUNCT
ejpam-4442	370	17	late	late	ADJ
ejpam-4442	370	18	prof	prof	NOUN
ejpam-4442	370	19	.	.	PUNCT
ejpam-4442	371	1	at	at	ADP
ejpam-4442	371	2	the	the	DET
ejpam-4442	371	3	california	california	PROPN
ejpam-4442	371	4	.	.	PUNCT
ejpam-4442	371	5	institute	institute	PROPN
ejpam-4442	371	6	of	of	ADP
ejpam-4442	371	7	technology	technology	PROPN
ejpam-4442	371	8	)	)	PUNCT
ejpam-4442	371	9	.	.	PUNCT
ejpam-4442	372	1	xx	xx	NUM
ejpam-4442	373	1	+	+	CCONJ
ejpam-4442	373	2	391	391	NUM
ejpam-4442	373	3	s.	s.	PROPN
ejpam-4442	373	4	new	new	PROPN
ejpam-4442	373	5	york	york	PROPN
ejpam-4442	373	6	/	/	SYM
ejpam-4442	373	7	toronto	toronto	PROPN
ejpam-4442	373	8	/	/	SYM
ejpam-4442	373	9	london	london	PROPN
ejpam-4442	373	10	1954	1954	NUM
ejpam-4442	373	11	.	.	PUNCT
ejpam-4442	374	1	mcgraw	mcgraw	PROPN
ejpam-4442	374	2	-	-	PUNCT
ejpam-4442	374	3	hill	hill	NOUN
ejpam-4442	374	4	book	book	NOUN
ejpam-4442	374	5	comp	comp	PROPN
ejpam-4442	374	6	.	.	PROPN
ejpam-4442	374	7	,	,	PUNCT
ejpam-4442	374	8	inc	inc	PROPN
ejpam-4442	374	9	.	.	PROPN
ejpam-4442	374	10	preis	preis	PROPN
ejpam-4442	374	11	56/6	56/6	NUM
ejpam-4442	374	12	s	s	PROPN
ejpam-4442	374	13	,	,	PUNCT
ejpam-4442	374	14	zamm	zamm	PROPN
ejpam-4442	374	15	journal	journal	PROPN
ejpam-4442	374	16	of	of	ADP
ejpam-4442	374	17	applied	apply	VERB
ejpam-4442	374	18	mathematics	mathematic	NOUN
ejpam-4442	374	19	and	and	CCONJ
ejpam-4442	374	20	mechanics	mechanic	NOUN
ejpam-4442	374	21	/	/	SYM
ejpam-4442	374	22	zeitschrift	zeitschrift	NOUN
ejpam-4442	374	23	für	für	PROPN
ejpam-4442	374	24	angewandte	angewandte	PROPN
ejpam-4442	374	25	mathematik	mathematik	PROPN
ejpam-4442	374	26	und	und	PROPN
ejpam-4442	374	27	mechanik	mechanik	PROPN
ejpam-4442	374	28	,	,	PUNCT
ejpam-4442	374	29	34:478–478	34:478–478	PROPN
ejpam-4442	374	30	,	,	PUNCT
ejpam-4442	374	31	1954	1954	NUM
ejpam-4442	374	32	.	.	PUNCT
ejpam-4442	375	1	[	[	X
ejpam-4442	375	2	43	43	NUM
ejpam-4442	375	3	]	]	X
ejpam-4442	375	4	r	r	NOUN
ejpam-4442	375	5	s	s	PROPN
ejpam-4442	375	6	chadwick	chadwick	PROPN
ejpam-4442	375	7	and	and	CCONJ
ejpam-4442	375	8	z	z	PROPN
ejpam-4442	375	9	liao	liao	PROPN
ejpam-4442	375	10	.	.	PUNCT
ejpam-4442	376	1	high	high	ADJ
ejpam-4442	376	2	-	-	PUNCT
ejpam-4442	376	3	frequency	frequency	NOUN
ejpam-4442	376	4	oscillations	oscillation	NOUN
ejpam-4442	376	5	of	of	ADP
ejpam-4442	376	6	a	a	DET
ejpam-4442	376	7	sphere	sphere	NOUN
ejpam-4442	376	8	in	in	ADP
ejpam-4442	376	9	a	a	DET
ejpam-4442	376	10	viscous	viscous	ADJ
ejpam-4442	376	11	fluid	fluid	NOUN
ejpam-4442	376	12	near	near	ADP
ejpam-4442	376	13	a	a	DET
ejpam-4442	376	14	rigid	rigid	ADJ
ejpam-4442	376	15	plane	plane	NOUN
ejpam-4442	376	16	.	.	PUNCT
ejpam-4442	377	1	siam	siam	PROPN
ejpam-4442	377	2	review	review	PROPN
ejpam-4442	377	3	,	,	PUNCT
ejpam-4442	377	4	50:313–322	50:313–322	PROPN
ejpam-4442	377	5	,	,	PUNCT
ejpam-4442	377	6	2008	2008	NUM
ejpam-4442	377	7	.	.	PUNCT
ejpam-4442	378	1	[	[	X
ejpam-4442	378	2	44	44	NUM
ejpam-4442	378	3	]	]	SYM
ejpam-4442	378	4	h	h	NOUN
ejpam-4442	378	5	s	s	NOUN
ejpam-4442	378	6	sellers	seller	NOUN
ejpam-4442	378	7	,	,	PUNCT
ejpam-4442	378	8	w	w	PROPN
ejpam-4442	378	9	h	h	PROPN
ejpam-4442	378	10	schwarz	schwarz	PROPN
ejpam-4442	378	11	,	,	PUNCT
ejpam-4442	378	12	m	m	VERB
ejpam-4442	378	13	sato	sato	NOUN
ejpam-4442	378	14	,	,	PUNCT
ejpam-4442	378	15	and	and	CCONJ
ejpam-4442	378	16	t	t	PROPN
ejpam-4442	378	17	pollard	pollard	NOUN
ejpam-4442	378	18	.	.	PUNCT
ejpam-4442	379	1	boundary	boundary	ADJ
ejpam-4442	379	2	effects	effect	NOUN
ejpam-4442	379	3	on	on	ADP
ejpam-4442	379	4	the	the	DET
ejpam-4442	379	5	drag	drag	NOUN
ejpam-4442	379	6	of	of	ADP
ejpam-4442	379	7	an	an	DET
ejpam-4442	379	8	oscillating	oscillating	NOUN
ejpam-4442	379	9	sphere	sphere	NOUN
ejpam-4442	379	10	:	:	PUNCT
ejpam-4442	379	11	applications	application	NOUN
ejpam-4442	379	12	to	to	ADP
ejpam-4442	379	13	the	the	DET
ejpam-4442	379	14	magnetic	magnetic	PROPN
ejpam-4442	379	15	sphere	sphere	PROPN
ejpam-4442	379	16	rheometer	rheometer	PROPN
ejpam-4442	379	17	.	.	PUNCT
ejpam-4442	380	1	journal	journal	PROPN
ejpam-4442	380	2	of	of	ADP
ejpam-4442	380	3	non	non	ADJ
ejpam-4442	380	4	-	-	ADJ
ejpam-4442	380	5	newtonian	newtonian	ADJ
ejpam-4442	380	6	fluid	fluid	ADJ
ejpam-4442	380	7	mechanics	mechanic	NOUN
ejpam-4442	380	8	,	,	PUNCT
ejpam-4442	380	9	26:43–55	26:43–55	NUM
ejpam-4442	380	10	,	,	PUNCT
ejpam-4442	380	11	1987	1987	NUM
ejpam-4442	380	12	.	.	PUNCT
ejpam-4442	381	1	[	[	X
ejpam-4442	381	2	45	45	NUM
ejpam-4442	381	3	]	]	X
ejpam-4442	381	4	c	c	PROPN
ejpam-4442	381	5	j	j	PROPN
ejpam-4442	381	6	lawrence	lawrence	PROPN
ejpam-4442	381	7	and	and	CCONJ
ejpam-4442	381	8	s	s	PROPN
ejpam-4442	381	9	weinbaum	weinbaum	NOUN
ejpam-4442	381	10	.	.	PUNCT
ejpam-4442	382	1	the	the	DET
ejpam-4442	382	2	force	force	NOUN
ejpam-4442	382	3	on	on	ADP
ejpam-4442	382	4	an	an	DET
ejpam-4442	382	5	axisymmetric	axisymmetric	ADJ
ejpam-4442	382	6	body	body	NOUN
ejpam-4442	382	7	in	in	ADP
ejpam-4442	382	8	linearized	linearize	VERB
ejpam-4442	382	9	,	,	PUNCT
ejpam-4442	382	10	time	time	NOUN
ejpam-4442	382	11	-	-	PUNCT
ejpam-4442	382	12	dependent	dependent	ADJ
ejpam-4442	382	13	motion	motion	NOUN
ejpam-4442	382	14	:	:	PUNCT
ejpam-4442	382	15	a	a	DET
ejpam-4442	382	16	new	new	ADJ
ejpam-4442	382	17	memory	memory	NOUN
ejpam-4442	382	18	term	term	NOUN
ejpam-4442	382	19	.	.	PUNCT
ejpam-4442	383	1	journal	journal	NOUN
ejpam-4442	383	2	of	of	ADP
ejpam-4442	383	3	fluid	fluid	ADJ
ejpam-4442	383	4	mechanics	mechanic	NOUN
ejpam-4442	383	5	,	,	PUNCT
ejpam-4442	383	6	171:209	171:209	NOUN
ejpam-4442	383	7	–	–	PUNCT
ejpam-4442	383	8	218	218	NUM
ejpam-4442	383	9	,	,	PUNCT
ejpam-4442	383	10	1986	1986	NUM
ejpam-4442	383	11	.	.	PUNCT
ejpam-4442	384	1	[	[	X
ejpam-4442	384	2	46	46	NUM
ejpam-4442	384	3	]	]	X
ejpam-4442	384	4	l	l	NOUN
ejpam-4442	384	5	e	e	PROPN
ejpam-4442	384	6	payne	payne	PROPN
ejpam-4442	384	7	and	and	CCONJ
ejpam-4442	384	8	w	w	PROPN
ejpam-4442	384	9	h	h	PROPN
ejpam-4442	384	10	pell	pell	NOUN
ejpam-4442	384	11	.	.	PUNCT
ejpam-4442	385	1	the	the	DET
ejpam-4442	385	2	stokes	stokes	PROPN
ejpam-4442	385	3	flow	flow	NOUN
ejpam-4442	385	4	problem	problem	NOUN
ejpam-4442	385	5	for	for	ADP
ejpam-4442	385	6	a	a	DET
ejpam-4442	385	7	class	class	NOUN
ejpam-4442	385	8	of	of	ADP
ejpam-4442	385	9	axially	axially	ADV
ejpam-4442	385	10	symmetric	symmetric	ADJ
ejpam-4442	385	11	bodies	body	NOUN
ejpam-4442	385	12	.	.	PUNCT
ejpam-4442	386	1	journal	journal	NOUN
ejpam-4442	386	2	of	of	ADP
ejpam-4442	386	3	fluid	fluid	ADJ
ejpam-4442	386	4	mechanics	mechanic	NOUN
ejpam-4442	386	5	,	,	PUNCT
ejpam-4442	386	6	7:529–549	7:529–549	PROPN
ejpam-4442	386	7	,	,	PUNCT
ejpam-4442	386	8	1960	1960	NUM
ejpam-4442	386	9	.	.	PUNCT
ejpam-4442	387	1	[	[	X
ejpam-4442	387	2	47	47	NUM
ejpam-4442	387	3	]	]	SYM
ejpam-4442	387	4	v	v	PROPN
ejpam-4442	387	5	j	j	PROPN
ejpam-4442	387	6	rossow	rossow	PROPN
ejpam-4442	387	7	.	.	PUNCT
ejpam-4442	388	1	nasa	nasa	PROPN
ejpam-4442	388	2	tech	tech	NOUN
ejpam-4442	388	3	.	.	PUNCT
ejpam-4442	389	1	note	note	NOUN
ejpam-4442	389	2	3971	3971	NUM
ejpam-4442	389	3	,	,	PUNCT
ejpam-4442	389	4	1957	1957	NUM
ejpam-4442	389	5	.	.	PUNCT
ejpam-4442	390	1	appendix	appendix	VERB
ejpam-4442	390	2	1400	1400	NUM
ejpam-4442	390	3	appendix	appendix	VERB
ejpam-4442	390	4	the	the	DET
ejpam-4442	390	5	functions	function	NOUN
ejpam-4442	390	6	appearing	appear	VERB
ejpam-4442	390	7	in	in	ADP
ejpam-4442	390	8	equation	equation	NOUN
ejpam-4442	390	9	,	,	PUNCT
ejpam-4442	390	10	(	(	PUNCT
ejpam-4442	390	11	30)-(31	30)-(31	NUM
ejpam-4442	390	12	)	)	PUNCT
ejpam-4442	390	13	and	and	CCONJ
ejpam-4442	390	14	(	(	PUNCT
ejpam-4442	390	15	38)-(39	38)-(39	NUM
ejpam-4442	390	16	)	)	PUNCT
ejpam-4442	390	17	are	be	AUX
ejpam-4442	390	18	defined	define	VERB
ejpam-4442	390	19	as	as	ADP
ejpam-4442	390	20	:	:	PUNCT
ejpam-4442	390	21	a1n(r	a1n(r	PROPN
ejpam-4442	390	22	,	,	PUNCT
ejpam-4442	390	23	θ	θ	PROPN
ejpam-4442	390	24	)	)	PUNCT
ejpam-4442	390	25	=	=	PUNCT
ejpam-4442	390	26	−r(−n−1)(n+	−r(−n−1)(n+	PROPN
ejpam-4442	390	27	1)ℑn+1(cos	1)ℑn+1(cos	NUM
ejpam-4442	390	28	θ	θ	NOUN
ejpam-4442	390	29	)	)	PUNCT
ejpam-4442	390	30	csc	csc	PROPN
ejpam-4442	390	31	θ	θ	PROPN
ejpam-4442	390	32	.	.	PUNCT
ejpam-4442	391	1	b1n(r	b1n(r	PROPN
ejpam-4442	391	2	,	,	PUNCT
ejpam-4442	391	3	θ	θ	PROPN
ejpam-4442	391	4	)	)	PUNCT
ejpam-4442	391	5	=	=	SYM
ejpam-4442	391	6	−r	−r	ADJ
ejpam-4442	391	7	−3	−3	NOUN
ejpam-4442	391	8	2	2	NUM
ejpam-4442	391	9	(	(	PUNCT
ejpam-4442	391	10	krkn−	krkn−	NOUN
ejpam-4442	391	11	3	3	NUM
ejpam-4442	391	12	2	2	NUM
ejpam-4442	391	13	(	(	PUNCT
ejpam-4442	391	14	kr	kr	PROPN
ejpam-4442	391	15	)	)	PUNCT
ejpam-4442	391	16	cos	cos	PROPN
ejpam-4442	391	17	θℑn(cos	θℑn(cos	PROPN
ejpam-4442	391	18	θ	θ	PROPN
ejpam-4442	391	19	)	)	PUNCT
ejpam-4442	392	1	+	+	CCONJ
ejpam-4442	392	2	(	(	PUNCT
ejpam-4442	392	3	n+	n+	NUM
ejpam-4442	392	4	1)kn−	1)kn−	NUM
ejpam-4442	392	5	1	1	NUM
ejpam-4442	392	6	2	2	NUM
ejpam-4442	392	7	(	(	PUNCT
ejpam-4442	392	8	kr)ℑn+1(cos	kr)ℑn+1(cos	PROPN
ejpam-4442	392	9	θ	θ	PROPN
ejpam-4442	392	10	)	)	PUNCT
ejpam-4442	392	11	)	)	PUNCT
ejpam-4442	393	1	csc	csc	PROPN
ejpam-4442	393	2	θ	θ	PROPN
ejpam-4442	393	3	.	.	PUNCT
ejpam-4442	393	4	a2n(r	a2n(r	PROPN
ejpam-4442	393	5	,	,	PUNCT
ejpam-4442	393	6	θ	θ	NOUN
ejpam-4442	393	7	)	)	PUNCT
ejpam-4442	393	8	=	=	SYM
ejpam-4442	393	9	−r(−n−1)pn(cos	−r(−n−1)pn(cos	X
ejpam-4442	393	10	θ	θ	X
ejpam-4442	393	11	)	)	PUNCT
ejpam-4442	393	12	b2n(r	b2n(r	PROPN
ejpam-4442	393	13	,	,	PUNCT
ejpam-4442	393	14	θ	θ	NOUN
ejpam-4442	393	15	)	)	PUNCT
ejpam-4442	393	16	=	=	SYM
ejpam-4442	394	1	r	r	NOUN
ejpam-4442	394	2	−3	−3	NOUN
ejpam-4442	394	3	2	2	NUM
ejpam-4442	394	4	(	(	PUNCT
ejpam-4442	394	5	krkn−	krkn−	NOUN
ejpam-4442	394	6	3	3	NUM
ejpam-4442	394	7	2	2	NUM
ejpam-4442	394	8	(	(	PUNCT
ejpam-4442	394	9	kr)ℑn(cos	kr)ℑn(co	NOUN
ejpam-4442	394	10	θ)−kn−	θ)−kn−	PROPN
ejpam-4442	394	11	1	1	NUM
ejpam-4442	394	12	2	2	NUM
ejpam-4442	394	13	(	(	PUNCT
ejpam-4442	394	14	kr)pn(cos	kr)pn(cos	PROPN
ejpam-4442	394	15	θ	θ	PROPN
ejpam-4442	394	16	)	)	PUNCT
ejpam-4442	394	17	)	)	PUNCT
ejpam-4442	394	18	csc	csc	PROPN
ejpam-4442	394	19	θ	θ	PROPN
ejpam-4442	394	20	.	.	PUNCT
ejpam-4442	394	21	a3n(r	a3n(r	PROPN
ejpam-4442	394	22	,	,	PUNCT
ejpam-4442	394	23	θ	θ	NOUN
ejpam-4442	394	24	)	)	PUNCT
ejpam-4442	394	25	=	=	SYM
ejpam-4442	395	1	2(n2	2(n2	NUM
ejpam-4442	395	2	−	−	PROPN
ejpam-4442	395	3	1)r−n−2ℑn(cos	1)r−n−2ℑn(cos	NUM
ejpam-4442	395	4	θ	θ	NOUN
ejpam-4442	395	5	)	)	PUNCT
ejpam-4442	395	6	csc	csc	PROPN
ejpam-4442	395	7	θ	θ	PROPN
ejpam-4442	395	8	b3n(r	b3n(r	PROPN
ejpam-4442	395	9	,	,	PUNCT
ejpam-4442	395	10	θ	θ	NOUN
ejpam-4442	395	11	)	)	PUNCT
ejpam-4442	395	12	=	=	SYM
ejpam-4442	395	13	r−	r−	PROPN
ejpam-4442	395	14	5	5	NUM
ejpam-4442	395	15	2	2	NUM
ejpam-4442	395	16	(	(	PUNCT
ejpam-4442	395	17	(	(	PUNCT
ejpam-4442	395	18	k2r2	k2r2	X
ejpam-4442	395	19	+	+	X
ejpam-4442	395	20	2n(n−	2n(n−	NUM
ejpam-4442	395	21	2))kn−	2))kn−	NUM
ejpam-4442	395	22	1	1	NUM
ejpam-4442	395	23	2	2	NUM
ejpam-4442	395	24	(	(	PUNCT
ejpam-4442	395	25	kr	kr	PROPN
ejpam-4442	395	26	)	)	PUNCT
ejpam-4442	396	1	+	+	CCONJ
ejpam-4442	396	2	2krkn+	2krkn+	NUM
ejpam-4442	396	3	1	1	NUM
ejpam-4442	396	4	2	2	NUM
ejpam-4442	396	5	(	(	PUNCT
ejpam-4442	396	6	kr	kr	PROPN
ejpam-4442	396	7	)	)	PUNCT
ejpam-4442	396	8	)	)	PUNCT
ejpam-4442	396	9	ℑn+1(cos	ℑn+1(cos	PROPN
ejpam-4442	396	10	θ	θ	PROPN
ejpam-4442	396	11	)	)	PUNCT
ejpam-4442	396	12	csc	csc	PROPN
ejpam-4442	396	13	θ	θ	PROPN
ejpam-4442	396	14	l(τ,−b	l(τ,−b	NOUN
ejpam-4442	396	15	)	)	PUNCT
ejpam-4442	396	16	=	=	PUNCT
ejpam-4442	396	17	(	(	PUNCT
ejpam-4442	396	18	τ	τ	PROPN
ejpam-4442	396	19	−	−	PROPN
ejpam-4442	396	20	ξ)−1	ξ)−1	NOUN
ejpam-4442	396	21	∞∑	∞∑	NUM
ejpam-4442	396	22	n=2	n=2	PRON
ejpam-4442	396	23	[	[	X
ejpam-4442	396	24	(	(	PUNCT
ejpam-4442	396	25	τe−σ	τe−σ	PROPN
ejpam-4442	396	26	−	−	NOUN
ejpam-4442	396	27	ξe−δ	ξe−δ	NOUN
ejpam-4442	396	28	)	)	PUNCT
ejpam-4442	396	29	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	396	30	)	)	PUNCT
ejpam-4442	397	1	+	+	CCONJ
ejpam-4442	398	1	ξ	ξ	X
ejpam-4442	398	2	(	(	PUNCT
ejpam-4442	398	3	−	−	PROPN
ejpam-4442	398	4	e−σ	e−σ	NOUN
ejpam-4442	398	5	+	+	CCONJ
ejpam-4442	398	6	e−δ	e−δ	PROPN
ejpam-4442	398	7	)	)	PUNCT
ejpam-4442	398	8	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	398	9	)	)	PUNCT
ejpam-4442	398	10	]	]	PUNCT
ejpam-4442	399	1	an	an	DET
ejpam-4442	399	2	+	+	X
ejpam-4442	399	3	[	[	X
ejpam-4442	399	4	(	(	PUNCT
ejpam-4442	399	5	τe−σ	τe−σ	PROPN
ejpam-4442	399	6	−	−	NOUN
ejpam-4442	399	7	ξe−δ	ξe−δ	NOUN
ejpam-4442	399	8	)	)	PUNCT
ejpam-4442	399	9	f1n(τ,−b	f1n(τ,−b	PROPN
ejpam-4442	399	10	)	)	PUNCT
ejpam-4442	400	1	+	+	CCONJ
ejpam-4442	400	2	ξ	ξ	X
ejpam-4442	400	3	(	(	PUNCT
ejpam-4442	400	4	−	−	PROPN
ejpam-4442	400	5	e−σ	e−σ	NOUN
ejpam-4442	400	6	+	+	CCONJ
ejpam-4442	400	7	e−δ	e−δ	PROPN
ejpam-4442	400	8	)	)	PUNCT
ejpam-4442	400	9	f2n(τ,−b	f2n(τ,−b	PROPN
ejpam-4442	400	10	)	)	PUNCT
ejpam-4442	400	11	]	]	PUNCT
ejpam-4442	400	12	bn	bn	X
ejpam-4442	400	13	m(τ,−b	m(τ,−b	NUM
ejpam-4442	400	14	)	)	PUNCT
ejpam-4442	400	15	=	=	PUNCT
ejpam-4442	401	1	(	(	PUNCT
ejpam-4442	401	2	τ	τ	PROPN
ejpam-4442	401	3	−	−	PROPN
ejpam-4442	401	4	ξ)−1	ξ)−1	NOUN
ejpam-4442	401	5	∞∑	∞∑	PROPN
ejpam-4442	401	6	n=2	n=2	PROPN
ejpam-4442	401	7	[	[	PUNCT
ejpam-4442	401	8	τ	τ	X
ejpam-4442	401	9	(	(	PUNCT
ejpam-4442	401	10	e−σ	e−σ	NOUN
ejpam-4442	401	11	−	−	PROPN
ejpam-4442	401	12	e−δ	e−δ	PROPN
ejpam-4442	401	13	)	)	PUNCT
ejpam-4442	401	14	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	401	15	)	)	PUNCT
ejpam-4442	402	1	+	+	CCONJ
ejpam-4442	402	2	(	(	PUNCT
ejpam-4442	402	3	−−σ	−−σ	PROPN
ejpam-4442	402	4	+	+	NOUN
ejpam-4442	402	5	τe−δ	τe−δ	ADJ
ejpam-4442	402	6	)	)	PUNCT
ejpam-4442	402	7	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	402	8	)	)	PUNCT
ejpam-4442	402	9	]	]	PUNCT
ejpam-4442	403	1	an	an	PRON
ejpam-4442	403	2	+	+	X
ejpam-4442	403	3	[	[	PUNCT
ejpam-4442	403	4	τ	τ	X
ejpam-4442	403	5	(	(	PUNCT
ejpam-4442	403	6	e−σ	e−σ	NOUN
ejpam-4442	403	7	−	−	PROPN
ejpam-4442	403	8	e−δ	e−δ	PROPN
ejpam-4442	403	9	)	)	PUNCT
ejpam-4442	403	10	f1n(τ,−b	f1n(τ,−b	PROPN
ejpam-4442	403	11	)	)	PUNCT
ejpam-4442	404	1	+	+	CCONJ
ejpam-4442	404	2	ξ	ξ	X
ejpam-4442	404	3	(	(	PUNCT
ejpam-4442	404	4	−	−	PROPN
ejpam-4442	404	5	ξe−σ	ξe−σ	NOUN
ejpam-4442	404	6	+	+	CCONJ
ejpam-4442	404	7	τe−δ	τe−δ	ADJ
ejpam-4442	404	8	)	)	PUNCT
ejpam-4442	404	9	f2n(τ,−b	f2n(τ,−b	PROPN
ejpam-4442	404	10	)	)	PUNCT
ejpam-4442	404	11	]	]	PUNCT
ejpam-4442	405	1	bn	bn	X
ejpam-4442	405	2	r(r	r(r	PROPN
ejpam-4442	405	3	,	,	PUNCT
ejpam-4442	405	4	θ	θ	NOUN
ejpam-4442	405	5	)	)	PUNCT
ejpam-4442	405	6	=	=	SYM
ejpam-4442	405	7	r−2	r−2	PROPN
ejpam-4442	405	8	(	(	PUNCT
ejpam-4442	405	9	2a(τ	2a(τ	NUM
ejpam-4442	405	10	)	)	PUNCT
ejpam-4442	406	1	[	[	PUNCT
ejpam-4442	406	2	r	r	NOUN
ejpam-4442	406	3	cos	cos	PROPN
ejpam-4442	406	4	θ	θ	PROPN
ejpam-4442	406	5	+	+	CCONJ
ejpam-4442	406	6	r2	r2	PROPN
ejpam-4442	406	7	cos	cos	ADP
ejpam-4442	406	8	2θ	2θ	NUM
ejpam-4442	406	9	]	]	PUNCT
ejpam-4442	407	1	e−τz	e−τz	NOUN
ejpam-4442	408	1	+	+	X
ejpam-4442	408	2	b(τ)τ−1	b(τ)τ−1	X
ejpam-4442	408	3	[	[	PUNCT
ejpam-4442	408	4	2ξr	2ξr	ADJ
ejpam-4442	408	5	cos	cos	PROPN
ejpam-4442	408	6	θ	θ	PROPN
ejpam-4442	408	7	+	+	CCONJ
ejpam-4442	408	8	r2	r2	PROPN
ejpam-4442	408	9	cos	cos	PROPN
ejpam-4442	408	10	2θ(τ2	2θ(τ2	PROPN
ejpam-4442	408	11	+	+	CCONJ
ejpam-4442	408	12	ξ2	ξ2	ADJ
ejpam-4442	408	13	)	)	PUNCT
ejpam-4442	408	14	]	]	PUNCT
ejpam-4442	408	15	e−ξz	e−ξz	NOUN
ejpam-4442	408	16	)	)	PUNCT
ejpam-4442	408	17	s(r	s(r	PROPN
ejpam-4442	408	18	,	,	PUNCT
ejpam-4442	408	19	θ	θ	NOUN
ejpam-4442	408	20	)	)	PUNCT
ejpam-4442	408	21	=	=	SYM
ejpam-4442	408	22	−4	−4	PROPN
ejpam-4442	408	23	cos2	cos2	PROPN
ejpam-4442	408	24	θ	θ	PROPN
ejpam-4442	408	25	(	(	PUNCT
ejpam-4442	408	26	τa(τ	τa(τ	PUNCT
ejpam-4442	408	27	)	)	PUNCT
ejpam-4442	408	28	e−τz	e−τz	NOUN
ejpam-4442	408	29	+	+	NUM
ejpam-4442	408	30	ξb(τ	ξb(τ	NOUN
ejpam-4442	408	31	)	)	PUNCT
ejpam-4442	408	32	e−ξz	e−ξz	NOUN
ejpam-4442	408	33	)	)	PUNCT
ejpam-4442	408	34	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	408	35	)	)	PUNCT
ejpam-4442	409	1	=	=	SYM
ejpam-4442	409	2	(	(	PUNCT
ejpam-4442	409	3	−1)n−1	−1)n−1	X
ejpam-4442	409	4	τ	τ	PROPN
ejpam-4442	409	5	n−1	n−1	PROPN
ejpam-4442	409	6	n	n	CCONJ
ejpam-4442	409	7	!	!	PUNCT
ejpam-4442	409	8	e−bτ	e−bτ	NOUN
ejpam-4442	409	9	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	409	10	)	)	PUNCT
ejpam-4442	409	11	=	=	SYM
ejpam-4442	409	12	(	(	PUNCT
ejpam-4442	409	13	−1)n	−1)n	PROPN
ejpam-4442	409	14	τn−1	τn−1	PROPN
ejpam-4442	409	15	n	n	CCONJ
ejpam-4442	409	16	!	!	PUNCT
ejpam-4442	409	17	e−bτ	e−bτ	PROPN
ejpam-4442	409	18	f1n(τ,−b	f1n(τ,−b	NOUN
ejpam-4442	409	19	)	)	PUNCT
ejpam-4442	409	20	=	=	SYM
ejpam-4442	409	21	(	(	PUNCT
ejpam-4442	409	22	−1)n	−1)n	PROPN
ejpam-4442	409	23	√	√	PROPN
ejpam-4442	409	24	πk	πk	SYM
ejpam-4442	409	25	2τ2	2τ2	NUM
ejpam-4442	409	26	e−bξ	e−bξ	NOUN
ejpam-4442	409	27	ℑn	ℑn	PROPN
ejpam-4442	409	28	(	(	PUNCT
ejpam-4442	409	29	ξ	ξ	PROPN
ejpam-4442	409	30	k	k	PROPN
ejpam-4442	409	31	)	)	PUNCT
ejpam-4442	409	32	f2n(τ,−b	f2n(τ,−b	PROPN
ejpam-4442	409	33	)	)	PUNCT
ejpam-4442	409	34	=	=	SYM
ejpam-4442	410	1	(	(	PUNCT
ejpam-4442	410	2	−1)n−1	−1)n−1	NOUN
ejpam-4442	410	3	√	√	PROPN
ejpam-4442	410	4	πk	πk	ADP
ejpam-4442	410	5	2ξ2	2ξ2	NUM
ejpam-4442	410	6	e−bξ	e−bξ	PROPN
ejpam-4442	411	1	ℑn	ℑn	PROPN
ejpam-4442	411	2	(	(	PUNCT
ejpam-4442	411	3	ξ	ξ	PROPN
ejpam-4442	411	4	k	k	PROPN
ejpam-4442	411	5	)	)	PUNCT
ejpam-4442	411	6	γ	γ	X
ejpam-4442	411	7	(	(	PUNCT
ejpam-4442	411	8	1	1	NUM
ejpam-4442	411	9	)	)	PUNCT
ejpam-4442	411	10	1n	1n	NUM
ejpam-4442	411	11	=	=	SYM
ejpam-4442	411	12	a1n(1	a1n(1	PROPN
ejpam-4442	411	13	,	,	PUNCT
ejpam-4442	411	14	θ	θ	NOUN
ejpam-4442	411	15	)	)	PUNCT
ejpam-4442	411	16	+	+	CCONJ
ejpam-4442	411	17	a	a	DET
ejpam-4442	411	18	(	(	PUNCT
ejpam-4442	411	19	1	1	NUM
ejpam-4442	411	20	)	)	PUNCT
ejpam-4442	411	21	1n	1n	NOUN
ejpam-4442	411	22	,	,	PUNCT
ejpam-4442	411	23	γ	γ	X
ejpam-4442	411	24	(	(	PUNCT
ejpam-4442	411	25	1	1	NUM
ejpam-4442	411	26	)	)	PUNCT
ejpam-4442	411	27	2n	2n	NUM
ejpam-4442	411	28	=	=	SYM
ejpam-4442	411	29	b1n(1	b1n(1	NOUN
ejpam-4442	411	30	,	,	PUNCT
ejpam-4442	411	31	θ	θ	NOUN
ejpam-4442	411	32	)	)	PUNCT
ejpam-4442	411	33	+	+	NUM
ejpam-4442	411	34	b	b	X
ejpam-4442	411	35	(	(	PUNCT
ejpam-4442	411	36	1	1	NUM
ejpam-4442	411	37	)	)	PUNCT
ejpam-4442	411	38	1n	1n	NOUN
ejpam-4442	411	39	,	,	PUNCT
ejpam-4442	411	40	γ	γ	X
ejpam-4442	411	41	(	(	PUNCT
ejpam-4442	411	42	2	2	NUM
ejpam-4442	411	43	)	)	PUNCT
ejpam-4442	411	44	1n	1n	NOUN
ejpam-4442	411	45	=	=	SYM
ejpam-4442	411	46	a2n(1	a2n(1	PROPN
ejpam-4442	411	47	,	,	PUNCT
ejpam-4442	411	48	θ	θ	NOUN
ejpam-4442	411	49	)	)	PUNCT
ejpam-4442	411	50	+	+	CCONJ
ejpam-4442	411	51	a	a	DET
ejpam-4442	411	52	(	(	PUNCT
ejpam-4442	411	53	1	1	NUM
ejpam-4442	411	54	)	)	PUNCT
ejpam-4442	411	55	2n	2n	NUM
ejpam-4442	411	56	,	,	PUNCT
ejpam-4442	411	57	γ	γ	X
ejpam-4442	411	58	(	(	PUNCT
ejpam-4442	411	59	1	1	NUM
ejpam-4442	411	60	)	)	PUNCT
ejpam-4442	411	61	2n	2n	NUM
ejpam-4442	411	62	=	=	SYM
ejpam-4442	411	63	b2n(1	b2n(1	PROPN
ejpam-4442	411	64	,	,	PUNCT
ejpam-4442	411	65	θ	θ	NOUN
ejpam-4442	411	66	)	)	PUNCT
ejpam-4442	412	1	+	+	NUM
ejpam-4442	412	2	b	b	X
ejpam-4442	412	3	(	(	PUNCT
ejpam-4442	412	4	1	1	NUM
ejpam-4442	412	5	)	)	PUNCT
ejpam-4442	412	6	2n	2n	NUM
ejpam-4442	412	7	,	,	PUNCT
ejpam-4442	412	8	γ	γ	X
ejpam-4442	412	9	(	(	PUNCT
ejpam-4442	412	10	∗	∗	PROPN
ejpam-4442	412	11	)	)	PUNCT
ejpam-4442	412	12	1n	1n	NOUN
ejpam-4442	413	1	=	=	SYM
ejpam-4442	413	2	a3n(1	a3n(1	PROPN
ejpam-4442	413	3	,	,	PUNCT
ejpam-4442	413	4	θ	θ	NOUN
ejpam-4442	413	5	)	)	PUNCT
ejpam-4442	413	6	+	+	CCONJ
ejpam-4442	413	7	a	a	DET
ejpam-4442	413	8	(	(	PUNCT
ejpam-4442	413	9	∗	∗	NOUN
ejpam-4442	413	10	)	)	PUNCT
ejpam-4442	413	11	1n	1n	NOUN
ejpam-4442	413	12	,	,	PUNCT
ejpam-4442	413	13	γ	γ	X
ejpam-4442	413	14	(	(	PUNCT
ejpam-4442	413	15	∗	∗	PROPN
ejpam-4442	413	16	)	)	PUNCT
ejpam-4442	413	17	2n	2n	NUM
ejpam-4442	413	18	=	=	SYM
ejpam-4442	413	19	b3n(1	b3n(1	PROPN
ejpam-4442	413	20	,	,	PUNCT
ejpam-4442	413	21	θ	θ	PROPN
ejpam-4442	413	22	)	)	PUNCT
ejpam-4442	413	23	+	+	NUM
ejpam-4442	413	24	b	b	X
ejpam-4442	413	25	(	(	PUNCT
ejpam-4442	413	26	∗	∗	NOUN
ejpam-4442	413	27	)	)	PUNCT
ejpam-4442	413	28	1n	1n	NOUN
ejpam-4442	413	29	,	,	PUNCT
ejpam-4442	413	30	(	(	PUNCT
ejpam-4442	413	31	a	a	DET
ejpam-4442	413	32	(	(	PUNCT
ejpam-4442	413	33	1	1	NUM
ejpam-4442	413	34	)	)	PUNCT
ejpam-4442	413	35	1n	1n	NOUN
ejpam-4442	413	36	(	(	PUNCT
ejpam-4442	413	37	r	r	NOUN
ejpam-4442	413	38	,	,	PUNCT
ejpam-4442	413	39	θ	θ	NOUN
ejpam-4442	413	40	)	)	PUNCT
ejpam-4442	413	41	b	b	NOUN
ejpam-4442	413	42	(	(	PUNCT
ejpam-4442	413	43	1	1	NUM
ejpam-4442	413	44	)	)	PUNCT
ejpam-4442	413	45	1n	1n	NOUN
ejpam-4442	413	46	(	(	PUNCT
ejpam-4442	413	47	r	r	NOUN
ejpam-4442	413	48	,	,	PUNCT
ejpam-4442	413	49	θ	θ	NOUN
ejpam-4442	413	50	)	)	PUNCT
ejpam-4442	413	51	)	)	PUNCT
ejpam-4442	414	1	=	=	SYM
ejpam-4442	414	2	∫	∫	PROPN
ejpam-4442	415	1	∞	∞	NUM
ejpam-4442	415	2	0	0	NUM
ejpam-4442	416	1	τ	τ	PROPN
ejpam-4442	416	2	{	{	PUNCT
ejpam-4442	416	3	h1	h1	PROPN
ejpam-4442	416	4	(	(	PUNCT
ejpam-4442	416	5	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	416	6	)	)	PUNCT
ejpam-4442	416	7	f1n(τ,−b	f1n(τ,−b	NOUN
ejpam-4442	416	8	)	)	PUNCT
ejpam-4442	416	9	)	)	PUNCT
ejpam-4442	417	1	+	+	NUM
ejpam-4442	417	2	h2	h2	NOUN
ejpam-4442	417	3	(	(	PUNCT
ejpam-4442	417	4	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	417	5	)	)	PUNCT
ejpam-4442	417	6	f2n(τ,−b	f2n(τ,−b	NOUN
ejpam-4442	417	7	)	)	PUNCT
ejpam-4442	417	8	)	)	PUNCT
ejpam-4442	417	9	}	}	PUNCT
ejpam-4442	417	10	j1(r	j1(r	ADJ
ejpam-4442	417	11	sin	sin	NOUN
ejpam-4442	417	12	θτ)dτ	θτ)dτ	X
ejpam-4442	417	13	(	(	PUNCT
ejpam-4442	417	14	a	a	DET
ejpam-4442	417	15	(	(	PUNCT
ejpam-4442	417	16	1	1	NUM
ejpam-4442	417	17	)	)	PUNCT
ejpam-4442	417	18	2n	2n	NUM
ejpam-4442	417	19	(	(	PUNCT
ejpam-4442	417	20	r	r	NOUN
ejpam-4442	417	21	,	,	PUNCT
ejpam-4442	417	22	θ	θ	NOUN
ejpam-4442	417	23	)	)	PUNCT
ejpam-4442	417	24	b	b	PROPN
ejpam-4442	417	25	(	(	PUNCT
ejpam-4442	417	26	1	1	NUM
ejpam-4442	417	27	)	)	PUNCT
ejpam-4442	417	28	2n	2n	NUM
ejpam-4442	417	29	(	(	PUNCT
ejpam-4442	417	30	r	r	NOUN
ejpam-4442	417	31	,	,	PUNCT
ejpam-4442	417	32	θ	θ	NOUN
ejpam-4442	417	33	)	)	PUNCT
ejpam-4442	417	34	)	)	PUNCT
ejpam-4442	418	1	=	=	SYM
ejpam-4442	418	2	∫	∫	PROPN
ejpam-4442	419	1	∞	∞	NUM
ejpam-4442	419	2	0	0	NUM
ejpam-4442	419	3	τ	τ	PROPN
ejpam-4442	419	4	{	{	PUNCT
ejpam-4442	419	5	h3	h3	NOUN
ejpam-4442	419	6	(	(	PUNCT
ejpam-4442	419	7	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	419	8	)	)	PUNCT
ejpam-4442	419	9	f1n(τ,−b	f1n(τ,−b	NOUN
ejpam-4442	419	10	)	)	PUNCT
ejpam-4442	419	11	)	)	PUNCT
ejpam-4442	420	1	+	+	PUNCT
ejpam-4442	420	2	h4	h4	NOUN
ejpam-4442	420	3	(	(	PUNCT
ejpam-4442	420	4	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	420	5	)	)	PUNCT
ejpam-4442	420	6	f2n(τ,−b	f2n(τ,−b	NOUN
ejpam-4442	420	7	)	)	PUNCT
ejpam-4442	420	8	)	)	PUNCT
ejpam-4442	420	9	}	}	PUNCT
ejpam-4442	420	10	j1(r	j1(r	ADJ
ejpam-4442	420	11	sin	sin	NOUN
ejpam-4442	420	12	θτ)dτ	θτ)dτ	PUNCT
ejpam-4442	420	13	appendix	appendix	VERB
ejpam-4442	420	14	1401	1401	NUM
ejpam-4442	420	15	(	(	PUNCT
ejpam-4442	420	16	a	a	DET
ejpam-4442	420	17	(	(	PUNCT
ejpam-4442	420	18	∗	∗	NOUN
ejpam-4442	420	19	)	)	PUNCT
ejpam-4442	420	20	1n	1n	NOUN
ejpam-4442	420	21	(	(	PUNCT
ejpam-4442	420	22	r	r	NOUN
ejpam-4442	420	23	,	,	PUNCT
ejpam-4442	420	24	θ	θ	NOUN
ejpam-4442	420	25	)	)	PUNCT
ejpam-4442	420	26	b	b	PROPN
ejpam-4442	420	27	(	(	PUNCT
ejpam-4442	420	28	∗	∗	PROPN
ejpam-4442	420	29	)	)	PUNCT
ejpam-4442	420	30	1n	1n	NOUN
ejpam-4442	420	31	(	(	PUNCT
ejpam-4442	420	32	r	r	NOUN
ejpam-4442	420	33	,	,	PUNCT
ejpam-4442	420	34	θ	θ	NOUN
ejpam-4442	420	35	)	)	PUNCT
ejpam-4442	420	36	)	)	PUNCT
ejpam-4442	421	1	=	=	SYM
ejpam-4442	421	2	∫	∫	PROPN
ejpam-4442	422	1	∞	∞	NUM
ejpam-4442	422	2	0	0	NUM
ejpam-4442	422	3	τ	τ	PROPN
ejpam-4442	422	4	{	{	PUNCT
ejpam-4442	422	5	h5	h5	PROPN
ejpam-4442	422	6	(	(	PUNCT
ejpam-4442	422	7	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	422	8	)	)	PUNCT
ejpam-4442	422	9	f1n(τ,−b	f1n(τ,−b	NOUN
ejpam-4442	422	10	)	)	PUNCT
ejpam-4442	422	11	)	)	PUNCT
ejpam-4442	423	1	+	+	X
ejpam-4442	423	2	h6	h6	PROPN
ejpam-4442	423	3	(	(	PUNCT
ejpam-4442	423	4	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	423	5	)	)	PUNCT
ejpam-4442	423	6	f2n(τ,−b	f2n(τ,−b	NOUN
ejpam-4442	423	7	)	)	PUNCT
ejpam-4442	423	8	)	)	PUNCT
ejpam-4442	423	9	}	}	PUNCT
ejpam-4442	423	10	j1(r	j1(r	ADJ
ejpam-4442	423	11	sin	sin	NOUN
ejpam-4442	423	12	θτ)dτ	θτ)dτ	PUNCT
ejpam-4442	423	13	+	+	NUM
ejpam-4442	423	14	∫	∫	PROPN
ejpam-4442	423	15	∞	∞	PROPN
ejpam-4442	423	16	0	0	NUM
ejpam-4442	423	17	τ	τ	PROPN
ejpam-4442	423	18	{	{	PUNCT
ejpam-4442	423	19	h7	h7	PROPN
ejpam-4442	423	20	(	(	PUNCT
ejpam-4442	423	21	e1n(τ,−b	e1n(τ,−b	NOUN
ejpam-4442	423	22	)	)	PUNCT
ejpam-4442	423	23	f1n(τ,−b	f1n(τ,−b	NOUN
ejpam-4442	423	24	)	)	PUNCT
ejpam-4442	423	25	)	)	PUNCT
ejpam-4442	424	1	+	+	ADP
ejpam-4442	424	2	h8	h8	PROPN
ejpam-4442	424	3	(	(	PUNCT
ejpam-4442	424	4	e2n(τ,−b	e2n(τ,−b	NOUN
ejpam-4442	424	5	)	)	PUNCT
ejpam-4442	424	6	f2n(τ,−b	f2n(τ,−b	NOUN
ejpam-4442	424	7	)	)	PUNCT
ejpam-4442	424	8	)	)	PUNCT
ejpam-4442	424	9	}	}	PUNCT
ejpam-4442	424	10	j0(r	j0(r	VERB
ejpam-4442	424	11	sin	sin	VERB
ejpam-4442	424	12	θτ)dτ	θτ)dτ	X
ejpam-4442	424	13	h1	h1	NOUN
ejpam-4442	424	14	=	=	SYM
ejpam-4442	424	15	(	(	PUNCT
ejpam-4442	424	16	τ	τ	PROPN
ejpam-4442	424	17	−	−	PROPN
ejpam-4442	424	18	ξ)−1(τe−σ	ξ)−1(τe−σ	PROPN
ejpam-4442	424	19	−	−	ADP
ejpam-4442	424	20	ξe−δ	ξe−δ	NOUN
ejpam-4442	424	21	)	)	PUNCT
ejpam-4442	424	22	h2	h2	NOUN
ejpam-4442	424	23	=	=	SYM
ejpam-4442	425	1	ξ(τ	ξ(τ	NOUN
ejpam-4442	425	2	−	−	PROPN
ejpam-4442	425	3	ξ)−1(−e−σ	ξ)−1(−e−σ	NOUN
ejpam-4442	425	4	+	+	CCONJ
ejpam-4442	425	5	e−δ	e−δ	NUM
ejpam-4442	425	6	)	)	PUNCT
ejpam-4442	425	7	h3	h3	NOUN
ejpam-4442	425	8	=	=	SYM
ejpam-4442	425	9	τ(τ	τ(τ	PROPN
ejpam-4442	425	10	−	−	PROPN
ejpam-4442	425	11	ξ)−1(e−σ	ξ)−1(e−σ	NOUN
ejpam-4442	425	12	−	−	PROPN
ejpam-4442	425	13	e−δ	e−δ	PROPN
ejpam-4442	425	14	)	)	PUNCT
ejpam-4442	425	15	h4	h4	NOUN
ejpam-4442	425	16	=	=	SYM
ejpam-4442	425	17	(	(	PUNCT
ejpam-4442	425	18	τ	τ	X
ejpam-4442	425	19	−	−	PROPN
ejpam-4442	425	20	ξ)−1(−ξe−σ	ξ)−1(−ξe−σ	PROPN
ejpam-4442	425	21	+	+	CCONJ
ejpam-4442	425	22	τe−δ	τe−δ	ADJ
ejpam-4442	425	23	)	)	PUNCT
ejpam-4442	425	24	h5	h5	NOUN
ejpam-4442	425	25	=	=	SYM
ejpam-4442	425	26	(	(	PUNCT
ejpam-4442	425	27	ρ2	ρ2	NOUN
ejpam-4442	425	28	+	+	CCONJ
ejpam-4442	425	29	z2)−1(τ	z2)−1(τ	PROPN
ejpam-4442	425	30	−	−	PROPN
ejpam-4442	425	31	ξ)−1[−2τ(z	ξ)−1[−2τ(z	PROPN
ejpam-4442	425	32	+	+	CCONJ
ejpam-4442	425	33	(	(	PUNCT
ejpam-4442	425	34	z2	z2	PROPN
ejpam-4442	425	35	−	−	PROPN
ejpam-4442	425	36	ρ2	ρ2	PROPN
ejpam-4442	425	37	)	)	PUNCT
ejpam-4442	425	38	)	)	PUNCT
ejpam-4442	425	39	e−σ	e−σ	NOUN
ejpam-4442	425	40	+	+	CCONJ
ejpam-4442	425	41	(	(	PUNCT
ejpam-4442	425	42	2zξ	2zξ	NOUN
ejpam-4442	425	43	+	+	CCONJ
ejpam-4442	425	44	(	(	PUNCT
ejpam-4442	425	45	z2	z2	PROPN
ejpam-4442	425	46	−	−	PROPN
ejpam-4442	425	47	ρ2)(τ2	ρ2)(τ2	NUM
ejpam-4442	425	48	+	+	CCONJ
ejpam-4442	425	49	ξ2	ξ2	NUM
ejpam-4442	425	50	)	)	PUNCT
ejpam-4442	425	51	)	)	PUNCT
ejpam-4442	426	1	e−δ	e−δ	NUM
ejpam-4442	426	2	]	]	X
ejpam-4442	426	3	h6	h6	PROPN
ejpam-4442	426	4	=	=	PUNCT
ejpam-4442	426	5	τ(ρ2	τ(ρ2	PROPN
ejpam-4442	426	6	+	+	CCONJ
ejpam-4442	426	7	z2)−1(τ	z2)−1(τ	PROPN
ejpam-4442	426	8	−	−	NOUN
ejpam-4442	426	9	ξ)−1[2ξ(z	ξ)−1[2ξ(z	NOUN
ejpam-4442	426	10	+	+	CCONJ
ejpam-4442	426	11	(	(	PUNCT
ejpam-4442	426	12	z2	z2	ADJ
ejpam-4442	426	13	−	−	PROPN
ejpam-4442	426	14	ρ2	ρ2	PROPN
ejpam-4442	426	15	)	)	PUNCT
ejpam-4442	426	16	)	)	PUNCT
ejpam-4442	426	17	e−σ	e−σ	NOUN
ejpam-4442	426	18	−	−	PROPN
ejpam-4442	426	19	(	(	PUNCT
ejpam-4442	426	20	2zξ	2zξ	NOUN
ejpam-4442	426	21	+	+	CCONJ
ejpam-4442	426	22	(	(	PUNCT
ejpam-4442	426	23	z2	z2	PROPN
ejpam-4442	426	24	−	−	PROPN
ejpam-4442	426	25	ρ2)(τ2	ρ2)(τ2	NUM
ejpam-4442	426	26	+	+	CCONJ
ejpam-4442	426	27	ξ2	ξ2	NUM
ejpam-4442	426	28	)	)	PUNCT
ejpam-4442	426	29	)	)	PUNCT
ejpam-4442	427	1	e−δ	e−δ	NUM
ejpam-4442	427	2	]	]	X
ejpam-4442	427	3	h7	h7	X
ejpam-4442	427	4	=	=	PUNCT
ejpam-4442	428	1	−4z(ρ2	−4z(ρ2	PROPN
ejpam-4442	429	1	+	+	NUM
ejpam-4442	429	2	z2)−1(τ	z2)−1(τ	PROPN
ejpam-4442	429	3	−	−	NOUN
ejpam-4442	429	4	ξ)−1(−τ2	ξ)−1(−τ2	ADP
ejpam-4442	429	5	e−σ	e−σ	NOUN
ejpam-4442	429	6	+	+	CCONJ
ejpam-4442	429	7	ξτ	ξτ	ADP
ejpam-4442	429	8	e−δ	e−δ	NUM
ejpam-4442	429	9	)	)	PUNCT
ejpam-4442	429	10	h8	h8	PROPN
ejpam-4442	429	11	=	=	PUNCT
ejpam-4442	430	1	−4zξτ(ρ2	−4zξτ(ρ2	PROPN
ejpam-4442	431	1	+	+	NUM
ejpam-4442	431	2	z2)−1(τ	z2)−1(τ	PROPN
ejpam-4442	431	3	−	−	PROPN
ejpam-4442	431	4	ξ)−1(e−σ	ξ)−1(e−σ	PROPN
ejpam-4442	431	5	−	−	PROPN
ejpam-4442	431	6	e−δ	e−δ	NUM
ejpam-4442	431	7	)	)	PUNCT
ejpam-4442	431	8	σ	σ	NOUN
ejpam-4442	432	1	=	=	PUNCT
ejpam-4442	432	2	τ(b+	τ(b+	PUNCT
ejpam-4442	432	3	r	r	NOUN
ejpam-4442	432	4	cos	cos	PROPN
ejpam-4442	432	5	θ	θ	PROPN
ejpam-4442	432	6	)	)	PUNCT
ejpam-4442	432	7	,	,	PUNCT
ejpam-4442	433	1	δ	δ	X
ejpam-4442	433	2	=	=	SYM
ejpam-4442	433	3	ξ(b+	ξ(b+	PROPN
ejpam-4442	433	4	r	r	NOUN
ejpam-4442	433	5	cos	cos	PROPN
ejpam-4442	433	6	θ	θ	PROPN
ejpam-4442	433	7	)	)	PUNCT