id	sid	tid	token	lemma	pos
ejpam-5581	1	1	european	european	PROPN
ejpam-5581	1	2	journal	journal	PROPN
ejpam-5581	1	3	of	of	ADP
ejpam-5581	1	4	pure	pure	ADJ
ejpam-5581	1	5	and	and	CCONJ
ejpam-5581	1	6	applied	applied	ADJ
ejpam-5581	1	7	mathematics	mathematic	NOUN
ejpam-5581	1	8	2025	2025	NUM
ejpam-5581	1	9	,	,	PUNCT
ejpam-5581	1	10	vol	vol	NOUN
ejpam-5581	1	11	.	.	PROPN
ejpam-5581	1	12	18	18	NUM
ejpam-5581	1	13	,	,	PUNCT
ejpam-5581	1	14	issue	issue	NOUN
ejpam-5581	1	15	1	1	NUM
ejpam-5581	1	16	,	,	PUNCT
ejpam-5581	1	17	article	article	NOUN
ejpam-5581	1	18	number	number	NOUN
ejpam-5581	1	19	5581	5581	NUM
ejpam-5581	1	20	issn	issn	VERB
ejpam-5581	1	21	1307	1307	NUM
ejpam-5581	1	22	-	-	SYM
ejpam-5581	1	23	5543	5543	NUM
ejpam-5581	1	24	–	–	PUNCT
ejpam-5581	1	25	ejpam.com	ejpam.com	X
ejpam-5581	1	26	published	publish	VERB
ejpam-5581	1	27	by	by	ADP
ejpam-5581	1	28	new	new	PROPN
ejpam-5581	1	29	york	york	PROPN
ejpam-5581	1	30	business	business	PROPN
ejpam-5581	1	31	global	global	ADJ
ejpam-5581	1	32	thermal	thermal	ADJ
ejpam-5581	1	33	and	and	CCONJ
ejpam-5581	1	34	concentration	concentration	NOUN
ejpam-5581	1	35	analysis	analysis	NOUN
ejpam-5581	1	36	of	of	ADP
ejpam-5581	1	37	mucociliary	mucociliary	NOUN
ejpam-5581	1	38	johnson	johnson	PROPN
ejpam-5581	1	39	-	-	PUNCT
ejpam-5581	1	40	segalman	segalman	ADJ
ejpam-5581	1	41	fluid	fluid	ADJ
ejpam-5581	1	42	flow	flow	NOUN
ejpam-5581	1	43	in	in	ADP
ejpam-5581	1	44	chronic	chronic	ADJ
ejpam-5581	1	45	obstructive	obstructive	ADJ
ejpam-5581	1	46	pulmonary	pulmonary	NOUN
ejpam-5581	1	47	disease	disease	NOUN
ejpam-5581	1	48	amel	amel	PROPN
ejpam-5581	1	49	alaidrous1,∗	alaidrous1,∗	PROPN
ejpam-5581	1	50	,	,	PUNCT
ejpam-5581	1	51	hameed	hameed	NOUN
ejpam-5581	1	52	ashraf2	ashraf2	NOUN
ejpam-5581	1	53	1	1	NUM
ejpam-5581	1	54	department	department	NOUN
ejpam-5581	1	55	of	of	ADP
ejpam-5581	1	56	mathematics	mathematic	NOUN
ejpam-5581	1	57	,	,	PUNCT
ejpam-5581	1	58	faculty	faculty	NOUN
ejpam-5581	1	59	of	of	ADP
ejpam-5581	1	60	sciences	science	NOUN
ejpam-5581	1	61	,	,	PUNCT
ejpam-5581	1	62	umm	umm	INTJ
ejpam-5581	1	63	al	al	PROPN
ejpam-5581	1	64	-	-	PUNCT
ejpam-5581	1	65	qura	qura	PROPN
ejpam-5581	1	66	university	university	PROPN
ejpam-5581	1	67	,	,	PUNCT
ejpam-5581	1	68	makkah	makkah	PROPN
ejpam-5581	1	69	,	,	PUNCT
ejpam-5581	1	70	saudi	saudi	PROPN
ejpam-5581	1	71	arabia	arabia	PROPN
ejpam-5581	1	72	2	2	NUM
ejpam-5581	1	73	department	department	NOUN
ejpam-5581	1	74	of	of	ADP
ejpam-5581	1	75	mathematics	mathematic	NOUN
ejpam-5581	1	76	,	,	PUNCT
ejpam-5581	1	77	university	university	NOUN
ejpam-5581	1	78	of	of	ADP
ejpam-5581	1	79	okara	okara	PROPN
ejpam-5581	1	80	,	,	PUNCT
ejpam-5581	1	81	okara	okara	PROPN
ejpam-5581	1	82	,	,	PUNCT
ejpam-5581	1	83	pakistan	pakistan	PROPN
ejpam-5581	1	84	abstract	abstract	NOUN
ejpam-5581	1	85	.	.	PUNCT
ejpam-5581	2	1	analyzing	analyze	VERB
ejpam-5581	2	2	mucociliary	mucociliary	NOUN
ejpam-5581	2	3	transport	transport	PROPN
ejpam-5581	2	4	’s	’s	PART
ejpam-5581	2	5	thermal	thermal	ADJ
ejpam-5581	2	6	and	and	CCONJ
ejpam-5581	2	7	concentration	concentration	NOUN
ejpam-5581	2	8	aspects	aspect	NOUN
ejpam-5581	2	9	is	be	AUX
ejpam-5581	2	10	crucial	crucial	ADJ
ejpam-5581	2	11	for	for	ADP
ejpam-5581	2	12	comprehending	comprehending	ADJ
ejpam-5581	2	13	mucus	mucus	NOUN
ejpam-5581	2	14	hypersecretion	hypersecretion	NOUN
ejpam-5581	2	15	mechanisms	mechanism	NOUN
ejpam-5581	2	16	in	in	ADP
ejpam-5581	2	17	chronic	chronic	ADJ
ejpam-5581	2	18	obstructive	obstructive	ADJ
ejpam-5581	2	19	pulmonary	pulmonary	ADJ
ejpam-5581	2	20	disease	disease	NOUN
ejpam-5581	2	21	(	(	PUNCT
ejpam-5581	2	22	copd	copd	PROPN
ejpam-5581	2	23	)	)	PUNCT
ejpam-5581	2	24	.	.	PUNCT
ejpam-5581	3	1	the	the	DET
ejpam-5581	3	2	present	present	ADJ
ejpam-5581	3	3	paper	paper	NOUN
ejpam-5581	3	4	uses	use	VERB
ejpam-5581	3	5	a	a	DET
ejpam-5581	3	6	mathematical	mathematical	ADJ
ejpam-5581	3	7	model	model	NOUN
ejpam-5581	3	8	of	of	ADP
ejpam-5581	3	9	two	two	NUM
ejpam-5581	3	10	-	-	PUNCT
ejpam-5581	3	11	layered	layer	VERB
ejpam-5581	3	12	fluid	fluid	NOUN
ejpam-5581	3	13	flow	flow	NOUN
ejpam-5581	3	14	in	in	ADP
ejpam-5581	3	15	a	a	DET
ejpam-5581	3	16	finite	finite	ADJ
ejpam-5581	3	17	two	two	NUM
ejpam-5581	3	18	-	-	PUNCT
ejpam-5581	3	19	dimensional	dimensional	ADJ
ejpam-5581	3	20	airway	airway	NOUN
ejpam-5581	3	21	channel	channel	NOUN
ejpam-5581	3	22	.	.	PUNCT
ejpam-5581	4	1	this	this	DET
ejpam-5581	4	2	model	model	NOUN
ejpam-5581	4	3	uses	use	VERB
ejpam-5581	4	4	the	the	DET
ejpam-5581	4	5	hypersecretion	hypersecretion	PROPN
ejpam-5581	4	6	scenario	scenario	NOUN
ejpam-5581	4	7	,	,	PUNCT
ejpam-5581	4	8	where	where	SCONJ
ejpam-5581	4	9	goblet	goblet	NOUN
ejpam-5581	4	10	cells	cell	NOUN
ejpam-5581	4	11	secreted	secrete	VERB
ejpam-5581	4	12	mucus	mucus	NOUN
ejpam-5581	4	13	in	in	ADP
ejpam-5581	4	14	large	large	ADJ
ejpam-5581	4	15	volume	volume	NOUN
ejpam-5581	4	16	,	,	PUNCT
ejpam-5581	4	17	leading	lead	VERB
ejpam-5581	4	18	to	to	ADP
ejpam-5581	4	19	complete	complete	ADJ
ejpam-5581	4	20	blockage	blockage	NOUN
ejpam-5581	4	21	of	of	ADP
ejpam-5581	4	22	the	the	DET
ejpam-5581	4	23	airway	airway	NOUN
ejpam-5581	4	24	channel	channel	NOUN
ejpam-5581	4	25	as	as	ADP
ejpam-5581	4	26	the	the	DET
ejpam-5581	4	27	airway	airway	NOUN
ejpam-5581	4	28	ciliary	ciliary	ADJ
ejpam-5581	4	29	layer	layer	NOUN
ejpam-5581	4	30	(	(	PUNCT
ejpam-5581	4	31	acl	acl	PROPN
ejpam-5581	4	32	)	)	PUNCT
ejpam-5581	4	33	and	and	CCONJ
ejpam-5581	4	34	peri	peri	VERB
ejpam-5581	4	35	ciliary	ciliary	ADJ
ejpam-5581	4	36	layer	layer	NOUN
ejpam-5581	4	37	(	(	PUNCT
ejpam-5581	4	38	pcl	pcl	PROPN
ejpam-5581	4	39	)	)	PUNCT
ejpam-5581	4	40	.	.	PUNCT
ejpam-5581	5	1	johnson	johnson	PROPN
ejpam-5581	5	2	-	-	PUNCT
ejpam-5581	5	3	segalman	segalman	ADJ
ejpam-5581	5	4	fluid	fluid	NOUN
ejpam-5581	5	5	model	model	NOUN
ejpam-5581	5	6	is	be	AUX
ejpam-5581	5	7	used	use	VERB
ejpam-5581	5	8	to	to	PART
ejpam-5581	5	9	characterize	characterize	VERB
ejpam-5581	5	10	secreted	secrete	VERB
ejpam-5581	5	11	mucus	mucus	NOUN
ejpam-5581	5	12	.	.	PUNCT
ejpam-5581	6	1	the	the	DET
ejpam-5581	6	2	analysis	analysis	NOUN
ejpam-5581	6	3	delineated	delineate	VERB
ejpam-5581	6	4	that	that	SCONJ
ejpam-5581	6	5	temperature	temperature	NOUN
ejpam-5581	6	6	rises	rise	VERB
ejpam-5581	6	7	with	with	ADP
ejpam-5581	6	8	increasing	increase	VERB
ejpam-5581	6	9	conductivity	conductivity	NOUN
ejpam-5581	6	10	ratio	ratio	NOUN
ejpam-5581	6	11	,	,	PUNCT
ejpam-5581	6	12	pressure	pressure	NOUN
ejpam-5581	6	13	gradient	gradient	NOUN
ejpam-5581	6	14	at	at	ADP
ejpam-5581	6	15	the	the	DET
ejpam-5581	6	16	airway	airway	NOUN
ejpam-5581	6	17	channel	channel	NOUN
ejpam-5581	6	18	entrance	entrance	NOUN
ejpam-5581	6	19	,	,	PUNCT
ejpam-5581	6	20	and	and	CCONJ
ejpam-5581	6	21	weissenberg	weissenberg	PROPN
ejpam-5581	6	22	number	number	NOUN
ejpam-5581	6	23	of	of	ADP
ejpam-5581	6	24	pcl	pcl	PROPN
ejpam-5581	6	25	,	,	PUNCT
ejpam-5581	6	26	while	while	SCONJ
ejpam-5581	6	27	concentration	concentration	NOUN
ejpam-5581	6	28	decreases	decrease	VERB
ejpam-5581	6	29	with	with	ADP
ejpam-5581	6	30	increasing	increase	VERB
ejpam-5581	6	31	pressure	pressure	NOUN
ejpam-5581	6	32	gradient	gradient	NOUN
ejpam-5581	6	33	at	at	ADP
ejpam-5581	6	34	the	the	DET
ejpam-5581	6	35	airway	airway	NOUN
ejpam-5581	6	36	channel	channel	NOUN
ejpam-5581	6	37	entrance	entrance	NOUN
ejpam-5581	6	38	and	and	CCONJ
ejpam-5581	6	39	weissenberg	weissenberg	NOUN
ejpam-5581	6	40	numbers	number	NOUN
ejpam-5581	6	41	.	.	PUNCT
ejpam-5581	7	1	the	the	DET
ejpam-5581	7	2	analysis	analysis	NOUN
ejpam-5581	7	3	also	also	ADV
ejpam-5581	7	4	highlights	highlight	VERB
ejpam-5581	7	5	the	the	DET
ejpam-5581	7	6	impact	impact	NOUN
ejpam-5581	7	7	of	of	ADP
ejpam-5581	7	8	high	high	ADJ
ejpam-5581	7	9	weissenberg	weissenberg	NOUN
ejpam-5581	7	10	numbers	number	NOUN
ejpam-5581	7	11	on	on	ADP
ejpam-5581	7	12	mucus	mucus	NOUN
ejpam-5581	7	13	velocity	velocity	NOUN
ejpam-5581	7	14	.	.	PUNCT
ejpam-5581	8	1	johnson	johnson	PROPN
ejpam-5581	8	2	-	-	PUNCT
ejpam-5581	8	3	segalman	segalman	PROPN
ejpam-5581	8	4	fluid	fluid	NOUN
ejpam-5581	8	5	better	well	ADV
ejpam-5581	8	6	characterizes	characterize	VERB
ejpam-5581	8	7	secreted	secrete	VERB
ejpam-5581	8	8	mucus	mucus	NOUN
ejpam-5581	8	9	as	as	SCONJ
ejpam-5581	8	10	it	it	PRON
ejpam-5581	8	11	improves	improve	VERB
ejpam-5581	8	12	mucus	mucus	NOUN
ejpam-5581	8	13	clearance	clearance	NOUN
ejpam-5581	8	14	in	in	ADP
ejpam-5581	8	15	the	the	DET
ejpam-5581	8	16	respiratory	respiratory	ADJ
ejpam-5581	8	17	system	system	NOUN
ejpam-5581	8	18	,	,	PUNCT
ejpam-5581	8	19	particularly	particularly	ADV
ejpam-5581	8	20	in	in	ADP
ejpam-5581	8	21	patients	patient	NOUN
ejpam-5581	8	22	with	with	ADP
ejpam-5581	8	23	severe	severe	ADJ
ejpam-5581	8	24	copd	copd	NOUN
ejpam-5581	8	25	.	.	PUNCT
ejpam-5581	9	1	2020	2020	NUM
ejpam-5581	9	2	mathematics	mathematic	NOUN
ejpam-5581	9	3	subject	subject	NOUN
ejpam-5581	9	4	classifications	classification	NOUN
ejpam-5581	9	5	:	:	PUNCT
ejpam-5581	9	6	35q35	35q35	NUM
ejpam-5581	9	7	,	,	PUNCT
ejpam-5581	9	8	76a05	76a05	NUM
ejpam-5581	9	9	,	,	PUNCT
ejpam-5581	9	10	76t06	76t06	NUM
ejpam-5581	9	11	,	,	PUNCT
ejpam-5581	9	12	92c10	92c10	NUM
ejpam-5581	9	13	key	key	ADJ
ejpam-5581	9	14	words	word	NOUN
ejpam-5581	9	15	and	and	CCONJ
ejpam-5581	9	16	phrases	phrase	NOUN
ejpam-5581	9	17	:	:	PUNCT
ejpam-5581	9	18	chronic	chronic	ADJ
ejpam-5581	9	19	obstructive	obstructive	ADJ
ejpam-5581	9	20	pulmonary	pulmonary	ADJ
ejpam-5581	9	21	disease	disease	NOUN
ejpam-5581	9	22	(	(	PUNCT
ejpam-5581	9	23	copd	copd	PROPN
ejpam-5581	9	24	)	)	PUNCT
ejpam-5581	9	25	,	,	PUNCT
ejpam-5581	9	26	ciliary	ciliary	ADJ
ejpam-5581	9	27	cells	cell	NOUN
ejpam-5581	9	28	,	,	PUNCT
ejpam-5581	9	29	thermal	thermal	ADJ
ejpam-5581	9	30	and	and	CCONJ
ejpam-5581	9	31	concentration	concentration	NOUN
ejpam-5581	9	32	,	,	PUNCT
ejpam-5581	9	33	johnson	johnson	PROPN
ejpam-5581	9	34	-	-	PUNCT
ejpam-5581	9	35	segalman	segalman	PROPN
ejpam-5581	9	36	fluid	fluid	NOUN
ejpam-5581	9	37	,	,	PUNCT
ejpam-5581	9	38	two	two	NUM
ejpam-5581	9	39	-	-	PUNCT
ejpam-5581	9	40	layered	layer	VERB
ejpam-5581	9	41	model	model	NOUN
ejpam-5581	9	42	∗corresponding	∗corresponde	VERB
ejpam-5581	9	43	author	author	NOUN
ejpam-5581	9	44	.	.	PUNCT
ejpam-5581	10	1	doi	doi	NOUN
ejpam-5581	10	2	:	:	PUNCT
ejpam-5581	10	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5581	https://doi.org/10.29020/nybg.ejpam.v18i1.5581	PROPN
ejpam-5581	10	4	email	email	NOUN
ejpam-5581	10	5	addresses	address	NOUN
ejpam-5581	10	6	:	:	PUNCT
ejpam-5581	10	7	aaaidrous@uqu.edu.sa	aaaidrous@uqu.edu.sa	PROPN
ejpam-5581	10	8	(	(	PUNCT
ejpam-5581	10	9	amel	amel	PROPN
ejpam-5581	10	10	alaidrous	alaidrous	PROPN
ejpam-5581	10	11	)	)	PUNCT
ejpam-5581	10	12	,	,	PUNCT
ejpam-5581	10	13	hameedashraf09@uo.edu.pk	hameedashraf09@uo.edu.pk	PROPN
ejpam-5581	10	14	(	(	PUNCT
ejpam-5581	10	15	hameed	hameed	NOUN
ejpam-5581	10	16	ashraf	ashraf	PROPN
ejpam-5581	10	17	)	)	PUNCT
ejpam-5581	10	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5581	11	1	1	1	NUM
ejpam-5581	11	2	copyright	copyright	NOUN
ejpam-5581	11	3	:	:	PUNCT
ejpam-5581	11	4	©	©	PROPN
ejpam-5581	11	5	2025	2025	NUM
ejpam-5581	11	6	the	the	DET
ejpam-5581	11	7	author(s	author(s	NOUN
ejpam-5581	11	8	)	)	PUNCT
ejpam-5581	11	9	.	.	PUNCT
ejpam-5581	12	1	(	(	PUNCT
ejpam-5581	12	2	cc	cc	NOUN
ejpam-5581	12	3	by	by	ADP
ejpam-5581	12	4	-	-	PUNCT
ejpam-5581	12	5	nc	nc	PROPN
ejpam-5581	12	6	4.0	4.0	NUM
ejpam-5581	12	7	)	)	PUNCT
ejpam-5581	12	8	a.	a.	NOUN
ejpam-5581	12	9	alaidrous	alaidrous	PROPN
ejpam-5581	12	10	,	,	PUNCT
ejpam-5581	12	11	h.	h.	PROPN
ejpam-5581	12	12	ashraf	ashraf	PROPN
ejpam-5581	12	13	/	/	SYM
ejpam-5581	12	14	eur	eur	PROPN
ejpam-5581	12	15	.	.	PUNCT
ejpam-5581	13	1	j.	j.	PROPN
ejpam-5581	13	2	pure	pure	PROPN
ejpam-5581	13	3	appl	appl	PROPN
ejpam-5581	13	4	.	.	PROPN
ejpam-5581	13	5	math	math	PROPN
ejpam-5581	13	6	,	,	PUNCT
ejpam-5581	13	7	18	18	NUM
ejpam-5581	13	8	(	(	PUNCT
ejpam-5581	13	9	1	1	NUM
ejpam-5581	13	10	)	)	PUNCT
ejpam-5581	13	11	(	(	PUNCT
ejpam-5581	13	12	2025	2025	NUM
ejpam-5581	13	13	)	)	PUNCT
ejpam-5581	13	14	,	,	PUNCT
ejpam-5581	13	15	5581	5581	NUM
ejpam-5581	13	16	2	2	NUM
ejpam-5581	13	17	of	of	ADP
ejpam-5581	13	18	30	30	NUM
ejpam-5581	13	19	nomenclature	nomenclature	ADJ
ejpam-5581	13	20	dimensional	dimensional	ADJ
ejpam-5581	13	21	quantities	quantity	NOUN
ejpam-5581	13	22	symbol	symbol	NOUN
ejpam-5581	13	23	interpretation	interpretation	PROPN
ejpam-5581	13	24	units	unit	NOUN
ejpam-5581	13	25	a	a	PRON
ejpam-5581	13	26	,	,	PUNCT
ejpam-5581	13	27	a1	a1	PROPN
ejpam-5581	13	28	pcl	pcl	PROPN
ejpam-5581	13	29	and	and	CCONJ
ejpam-5581	13	30	acl	acl	PROPN
ejpam-5581	13	31	mean	mean	NOUN
ejpam-5581	13	32	width	width	PROPN
ejpam-5581	13	33	mm	mm	PROPN
ejpam-5581	13	34	c	c	NOUN
ejpam-5581	13	35	wave	wave	NOUN
ejpam-5581	13	36	speed	speed	NOUN
ejpam-5581	13	37	mm	mm	NOUN
ejpam-5581	13	38	s−1	s−1	PROPN
ejpam-5581	13	39	λ	λ	NOUN
ejpam-5581	13	40	wavelength	wavelength	VERB
ejpam-5581	13	41	mm	mm	PROPN
ejpam-5581	13	42	û	û	NUM
ejpam-5581	13	43	,	,	PUNCT
ejpam-5581	13	44	v̂	v̂	PRON
ejpam-5581	13	45	components	component	NOUN
ejpam-5581	13	46	of	of	ADP
ejpam-5581	13	47	velocity	velocity	NOUN
ejpam-5581	13	48	that	that	PRON
ejpam-5581	13	49	are	be	AUX
ejpam-5581	13	50	imparted	impart	VERB
ejpam-5581	13	51	to	to	ADP
ejpam-5581	13	52	the	the	DET
ejpam-5581	13	53	fluid	fluid	NOUN
ejpam-5581	13	54	by	by	ADP
ejpam-5581	13	55	cilia	cilia	ADJ
ejpam-5581	13	56	tips	tip	NOUN
ejpam-5581	14	1	mms−1	mms−1	NOUN
ejpam-5581	14	2	ϵ	ϵ	ADP
ejpam-5581	14	3	cilia	cilia	NOUN
ejpam-5581	14	4	length	length	NOUN
ejpam-5581	14	5	mm	mm	PROPN
ejpam-5581	14	6	v̂(k	v̂(k	NOUN
ejpam-5581	14	7	)	)	PUNCT
ejpam-5581	14	8	velocity	velocity	NOUN
ejpam-5581	14	9	vector	vector	NOUN
ejpam-5581	14	10	mm	mm	PROPN
ejpam-5581	14	11	s−1	s−1	PROPN
ejpam-5581	14	12	û	û	NUM
ejpam-5581	14	13	(	(	PUNCT
ejpam-5581	14	14	k	k	NOUN
ejpam-5581	14	15	)	)	PUNCT
ejpam-5581	14	16	,	,	PUNCT
ejpam-5581	14	17	v̂	v̂	PRON
ejpam-5581	14	18	(	(	PUNCT
ejpam-5581	14	19	k	k	NOUN
ejpam-5581	14	20	)	)	PUNCT
ejpam-5581	14	21	velocity	velocity	NOUN
ejpam-5581	14	22	component	component	NOUN
ejpam-5581	14	23	in	in	ADP
ejpam-5581	14	24	fixed	fix	VERB
ejpam-5581	14	25	frame	frame	NOUN
ejpam-5581	14	26	mm	mm	PROPN
ejpam-5581	14	27	s−1	s−1	PROPN
ejpam-5581	14	28	û(k	û(k	NOUN
ejpam-5581	14	29	)	)	PUNCT
ejpam-5581	14	30	,	,	PUNCT
ejpam-5581	14	31	v̂(k	v̂(k	NOUN
ejpam-5581	14	32	)	)	PUNCT
ejpam-5581	14	33	velocity	velocity	NOUN
ejpam-5581	14	34	component	component	NOUN
ejpam-5581	14	35	in	in	ADP
ejpam-5581	14	36	wave	wave	NOUN
ejpam-5581	14	37	frame	frame	NOUN
ejpam-5581	14	38	mm	mm	INTJ
ejpam-5581	14	39	s−1	s−1	PROPN
ejpam-5581	14	40	p̂	p̂	NOUN
ejpam-5581	14	41	pressure	pressure	NOUN
ejpam-5581	14	42	in	in	ADP
ejpam-5581	14	43	fixed	fix	VERB
ejpam-5581	14	44	frame	frame	NOUN
ejpam-5581	14	45	gm−1s−2	gm−1s−2	VERB
ejpam-5581	14	46	p̂	p̂	NOUN
ejpam-5581	14	47	pressure	pressure	NOUN
ejpam-5581	14	48	in	in	ADP
ejpam-5581	14	49	wave	wave	NOUN
ejpam-5581	14	50	frame	frame	NOUN
ejpam-5581	14	51	gm−1s−2	gm−1s−2	VERB
ejpam-5581	14	52	ŝ(k	ŝ(k	NOUN
ejpam-5581	14	53	)	)	PUNCT
ejpam-5581	14	54	extra	extra	ADJ
ejpam-5581	14	55	stress	stress	NOUN
ejpam-5581	14	56	tensor	tensor	NOUN
ejpam-5581	14	57	gmm−1s−2	gmm−1s−2	PROPN
ejpam-5581	14	58	t0	t0	PROPN
ejpam-5581	14	59	temperature	temperature	NOUN
ejpam-5581	14	60	at	at	ADP
ejpam-5581	14	61	the	the	DET
ejpam-5581	14	62	center	center	NOUN
ejpam-5581	14	63	of	of	ADP
ejpam-5581	14	64	the	the	DET
ejpam-5581	14	65	tube	tube	NOUN
ejpam-5581	14	66	k	k	PROPN
ejpam-5581	14	67	t1	t1	PROPN
ejpam-5581	14	68	temperature	temperature	NOUN
ejpam-5581	14	69	at	at	ADP
ejpam-5581	14	70	the	the	DET
ejpam-5581	14	71	ciliated	ciliated	ADJ
ejpam-5581	14	72	wall	wall	NOUN
ejpam-5581	15	1	k	k	PROPN
ejpam-5581	15	2	t̂	t̂	PROPN
ejpam-5581	15	3	(	(	PUNCT
ejpam-5581	15	4	k	k	NOUN
ejpam-5581	15	5	)	)	PUNCT
ejpam-5581	15	6	temperature	temperature	NOUN
ejpam-5581	15	7	k	k	PROPN
ejpam-5581	15	8	c0	c0	PROPN
ejpam-5581	15	9	concentration	concentration	NOUN
ejpam-5581	15	10	at	at	ADP
ejpam-5581	15	11	the	the	DET
ejpam-5581	15	12	center	center	NOUN
ejpam-5581	15	13	of	of	ADP
ejpam-5581	15	14	the	the	DET
ejpam-5581	15	15	tube	tube	NOUN
ejpam-5581	15	16	mol	mol	ADP
ejpam-5581	15	17	mm−3	mm−3	PROPN
ejpam-5581	15	18	c1	c1	PROPN
ejpam-5581	15	19	concentration	concentration	NOUN
ejpam-5581	15	20	at	at	ADP
ejpam-5581	15	21	the	the	DET
ejpam-5581	15	22	ciliated	ciliated	ADJ
ejpam-5581	15	23	wall	wall	NOUN
ejpam-5581	15	24	mol	mol	ADP
ejpam-5581	15	25	mm−3	mm−3	PROPN
ejpam-5581	15	26	ĉ(k	ĉ(k	PROPN
ejpam-5581	15	27	)	)	PUNCT
ejpam-5581	15	28	concentration	concentration	NOUN
ejpam-5581	15	29	mol	mol	ADP
ejpam-5581	15	30	mm−3	mm−3	PROPN
ejpam-5581	15	31	ĉk	ĉk	PROPN
ejpam-5581	15	32	f	f	PROPN
ejpam-5581	15	33	specific	specific	ADJ
ejpam-5581	15	34	heat	heat	NOUN
ejpam-5581	15	35	constant	constant	ADJ
ejpam-5581	15	36	jg−1k−1	jg−1k−1	PROPN
ejpam-5581	15	37	χ(k	χ(k	PROPN
ejpam-5581	15	38	)	)	PUNCT
ejpam-5581	15	39	thermal	thermal	ADJ
ejpam-5581	15	40	conductivity	conductivity	NOUN
ejpam-5581	15	41	of	of	ADP
ejpam-5581	15	42	fluid	fluid	ADJ
ejpam-5581	15	43	wmm−1k−1	wmm−1k−1	PROPN
ejpam-5581	15	44	d̂k	d̂k	PROPN
ejpam-5581	15	45	b	b	PROPN
ejpam-5581	15	46	coefficient	coefficient	NOUN
ejpam-5581	15	47	of	of	ADP
ejpam-5581	15	48	mass	mass	ADJ
ejpam-5581	15	49	diffusivity	diffusivity	NOUN
ejpam-5581	15	50	mm2s−1	mm2s−1	X
ejpam-5581	15	51	f	f	PROPN
ejpam-5581	15	52	body	body	NOUN
ejpam-5581	15	53	force	force	NOUN
ejpam-5581	15	54	per	per	ADP
ejpam-5581	15	55	unit	unit	NOUN
ejpam-5581	15	56	mass	mass	PROPN
ejpam-5581	15	57	gmm	gmm	PROPN
ejpam-5581	15	58	s−2	s−2	PROPN
ejpam-5581	15	59	λ	λ	PROPN
ejpam-5581	15	60	(	(	PUNCT
ejpam-5581	15	61	k	k	NOUN
ejpam-5581	15	62	)	)	PUNCT
ejpam-5581	15	63	1	1	NUM
ejpam-5581	15	64	relaxation	relaxation	NOUN
ejpam-5581	15	65	time	time	NOUN
ejpam-5581	15	66	s	s	PART
ejpam-5581	15	67	µ̂(k	µ̂(k	NOUN
ejpam-5581	15	68	)	)	PUNCT
ejpam-5581	15	69	,	,	PUNCT
ejpam-5581	15	70	η̄(k	η̄(k	NOUN
ejpam-5581	15	71	)	)	PUNCT
ejpam-5581	15	72	viscosities	viscosity	NOUN
ejpam-5581	15	73	poise	poise	VERB
ejpam-5581	15	74	ρ̂k	ρ̂k	X
ejpam-5581	15	75	constant	constant	ADJ
ejpam-5581	15	76	density	density	NOUN
ejpam-5581	15	77	of	of	ADP
ejpam-5581	15	78	fluid	fluid	NOUN
ejpam-5581	15	79	g	g	PROPN
ejpam-5581	15	80	mm−3	mm−3	PROPN
ejpam-5581	15	81	x̄0	x̄0	PROPN
ejpam-5581	16	1	reference	reference	NOUN
ejpam-5581	16	2	position	position	NOUN
ejpam-5581	16	3	of	of	ADP
ejpam-5581	16	4	fluid	fluid	ADJ
ejpam-5581	16	5	particles	particle	NOUN
ejpam-5581	16	6	mm	mm	NOUN
ejpam-5581	16	7	dimensionless	dimensionless	NOUN
ejpam-5581	16	8	quantities	quantity	NOUN
ejpam-5581	16	9	symbols	symbol	NOUN
ejpam-5581	16	10	meaning	mean	VERB
ejpam-5581	16	11	ek	ek	NOUN
ejpam-5581	16	12	slip	slip	NOUN
ejpam-5581	16	13	parameter	parameter	NOUN
ejpam-5581	16	14	we(k	we(k	NOUN
ejpam-5581	16	15	)	)	PUNCT
ejpam-5581	16	16	weissenberg	weissenberg	PROPN
ejpam-5581	16	17	number	number	NOUN
ejpam-5581	16	18	m	m	VERB
ejpam-5581	16	19	effective	effective	ADJ
ejpam-5581	16	20	viscosity	viscosity	NOUN
ejpam-5581	16	21	br(k	br(k	NOUN
ejpam-5581	16	22	)	)	PUNCT
ejpam-5581	16	23	brinkman	brinkman	NOUN
ejpam-5581	16	24	number	number	NOUN
ejpam-5581	16	25	sh	sh	PROPN
ejpam-5581	16	26	schmidt	schmidt	PROPN
ejpam-5581	16	27	number	number	PROPN
ejpam-5581	16	28	st	st	PROPN
ejpam-5581	16	29	soret	soret	VERB
ejpam-5581	16	30	number	number	NOUN
ejpam-5581	16	31	ζ	ζ	NOUN
ejpam-5581	16	32	conductivity	conductivity	NOUN
ejpam-5581	16	33	ratio∏	ratio∏	NOUN
ejpam-5581	16	34	mass	mass	NOUN
ejpam-5581	16	35	diffusivity	diffusivity	NOUN
ejpam-5581	16	36	ratio	ratio	NOUN
ejpam-5581	16	37	ξ	ξ	PROPN
ejpam-5581	16	38	pressure	pressure	NOUN
ejpam-5581	16	39	gradient	gradient	NOUN
ejpam-5581	16	40	at	at	ADP
ejpam-5581	16	41	the	the	DET
ejpam-5581	16	42	airways	airways	PROPN
ejpam-5581	16	43	entrance	entrance	NOUN
ejpam-5581	16	44	a.	a.	NOUN
ejpam-5581	16	45	alaidrous	alaidrous	PROPN
ejpam-5581	16	46	,	,	PUNCT
ejpam-5581	16	47	h.	h.	PROPN
ejpam-5581	16	48	ashraf	ashraf	PROPN
ejpam-5581	16	49	/	/	SYM
ejpam-5581	16	50	eur	eur	PROPN
ejpam-5581	16	51	.	.	PUNCT
ejpam-5581	17	1	j.	j.	PROPN
ejpam-5581	17	2	pure	pure	PROPN
ejpam-5581	17	3	appl	appl	PROPN
ejpam-5581	17	4	.	.	PROPN
ejpam-5581	17	5	math	math	PROPN
ejpam-5581	17	6	,	,	PUNCT
ejpam-5581	17	7	18	18	NUM
ejpam-5581	17	8	(	(	PUNCT
ejpam-5581	17	9	1	1	NUM
ejpam-5581	17	10	)	)	PUNCT
ejpam-5581	17	11	(	(	PUNCT
ejpam-5581	17	12	2025	2025	NUM
ejpam-5581	17	13	)	)	PUNCT
ejpam-5581	17	14	,	,	PUNCT
ejpam-5581	17	15	5581	5581	NUM
ejpam-5581	17	16	3	3	NUM
ejpam-5581	17	17	of	of	ADP
ejpam-5581	17	18	30	30	NUM
ejpam-5581	17	19	1	1	NUM
ejpam-5581	17	20	.	.	PUNCT
ejpam-5581	18	1	introduction	introduction	NOUN
ejpam-5581	18	2	secretion	secretion	NOUN
ejpam-5581	18	3	of	of	ADP
ejpam-5581	18	4	mucus	mucus	NOUN
ejpam-5581	18	5	is	be	AUX
ejpam-5581	18	6	typically	typically	ADV
ejpam-5581	18	7	the	the	DET
ejpam-5581	18	8	first	first	ADJ
ejpam-5581	18	9	line	line	NOUN
ejpam-5581	18	10	of	of	ADP
ejpam-5581	18	11	defense	defense	NOUN
ejpam-5581	18	12	for	for	ADP
ejpam-5581	18	13	the	the	DET
ejpam-5581	18	14	human	human	ADJ
ejpam-5581	18	15	airways	airway	NOUN
ejpam-5581	18	16	.	.	PUNCT
ejpam-5581	19	1	goblet	goblet	NOUN
ejpam-5581	19	2	and	and	CCONJ
ejpam-5581	19	3	ciliary	ciliary	ADJ
ejpam-5581	19	4	cells	cell	NOUN
ejpam-5581	19	5	are	be	AUX
ejpam-5581	19	6	the	the	DET
ejpam-5581	19	7	two	two	NUM
ejpam-5581	19	8	main	main	ADJ
ejpam-5581	19	9	cell	cell	NOUN
ejpam-5581	19	10	types	type	NOUN
ejpam-5581	19	11	on	on	ADP
ejpam-5581	19	12	the	the	DET
ejpam-5581	19	13	mucous	mucous	ADJ
ejpam-5581	19	14	membrane	membrane	NOUN
ejpam-5581	19	15	of	of	ADP
ejpam-5581	19	16	the	the	DET
ejpam-5581	19	17	human	human	ADJ
ejpam-5581	19	18	airway	airway	NOUN
ejpam-5581	19	19	epithelium	epithelium	NOUN
ejpam-5581	19	20	.	.	PUNCT
ejpam-5581	20	1	goblet	goblet	NOUN
ejpam-5581	20	2	cells	cell	NOUN
ejpam-5581	20	3	are	be	AUX
ejpam-5581	20	4	the	the	DET
ejpam-5581	20	5	specialized	specialized	ADJ
ejpam-5581	20	6	secretory	secretory	ADJ
ejpam-5581	20	7	cells	cell	NOUN
ejpam-5581	20	8	that	that	PRON
ejpam-5581	20	9	secrete	secrete	VERB
ejpam-5581	20	10	a	a	DET
ejpam-5581	20	11	viscoelastic	viscoelastic	ADJ
ejpam-5581	20	12	nature	nature	NOUN
ejpam-5581	20	13	fluid	fluid	NOUN
ejpam-5581	20	14	called	call	VERB
ejpam-5581	20	15	mucus	mucus	NOUN
ejpam-5581	20	16	.	.	PUNCT
ejpam-5581	21	1	the	the	DET
ejpam-5581	21	2	mucus	mucus	NOUN
ejpam-5581	21	3	consists	consist	VERB
ejpam-5581	21	4	of	of	ADP
ejpam-5581	21	5	95	95	NUM
ejpam-5581	21	6	%	%	NOUN
ejpam-5581	21	7	of	of	ADP
ejpam-5581	21	8	water	water	NOUN
ejpam-5581	21	9	,	,	PUNCT
ejpam-5581	21	10	2%–3	2%–3	NUM
ejpam-5581	21	11	%	%	NOUN
ejpam-5581	21	12	of	of	ADP
ejpam-5581	21	13	macromolecular	macromolecular	NOUN
ejpam-5581	21	14	glycoproteins	glycoprotein	NOUN
ejpam-5581	21	15	,	,	PUNCT
ejpam-5581	21	16	0.1%–0.5	0.1%–0.5	PROPN
ejpam-5581	21	17	%	%	NOUN
ejpam-5581	21	18	of	of	ADP
ejpam-5581	21	19	proteoglycans	proteoglycan	NOUN
ejpam-5581	21	20	,	,	PUNCT
ejpam-5581	21	21	and	and	CCONJ
ejpam-5581	21	22	0.3%–0.5	0.3%–0.5	NUM
ejpam-5581	21	23	%	%	NOUN
ejpam-5581	21	24	of	of	ADP
ejpam-5581	21	25	lipids	lipids	PROPN
ejpam-5581	21	26	,	,	PUNCT
ejpam-5581	21	27	dna	dna	NOUN
ejpam-5581	21	28	,	,	PUNCT
ejpam-5581	21	29	and	and	CCONJ
ejpam-5581	21	30	proteins	protein	NOUN
ejpam-5581	21	31	.	.	PUNCT
ejpam-5581	22	1	energy	energy	NOUN
ejpam-5581	22	2	from	from	ADP
ejpam-5581	22	3	the	the	DET
ejpam-5581	22	4	hydrolysis	hydrolysis	NOUN
ejpam-5581	22	5	of	of	ADP
ejpam-5581	22	6	adenosine	adenosine	ADJ
ejpam-5581	22	7	triphosphate	triphosphate	NOUN
ejpam-5581	22	8	(	(	PUNCT
ejpam-5581	22	9	atp	atp	PROPN
ejpam-5581	22	10	)	)	PUNCT
ejpam-5581	22	11	opens	open	VERB
ejpam-5581	22	12	the	the	DET
ejpam-5581	22	13	pores	pore	NOUN
ejpam-5581	22	14	in	in	ADP
ejpam-5581	22	15	a	a	DET
ejpam-5581	22	16	goblet	goblet	NOUN
ejpam-5581	22	17	cell	cell	NOUN
ejpam-5581	22	18	’s	’s	PART
ejpam-5581	22	19	plasma	plasma	NOUN
ejpam-5581	22	20	membrane	membrane	NOUN
ejpam-5581	22	21	,	,	PUNCT
ejpam-5581	22	22	triggering	trigger	VERB
ejpam-5581	22	23	the	the	DET
ejpam-5581	22	24	process	process	NOUN
ejpam-5581	22	25	of	of	ADP
ejpam-5581	22	26	exocytosis	exocytosis	NOUN
ejpam-5581	22	27	.	.	PUNCT
ejpam-5581	23	1	the	the	DET
ejpam-5581	23	2	exocytosis	exocytosis	NOUN
ejpam-5581	23	3	,	,	PUNCT
ejpam-5581	23	4	in	in	ADP
ejpam-5581	23	5	turn	turn	NOUN
ejpam-5581	23	6	,	,	PUNCT
ejpam-5581	23	7	causes	cause	VERB
ejpam-5581	23	8	the	the	DET
ejpam-5581	23	9	pores	pore	NOUN
ejpam-5581	23	10	to	to	PART
ejpam-5581	23	11	extend	extend	VERB
ejpam-5581	23	12	into	into	ADP
ejpam-5581	23	13	the	the	DET
ejpam-5581	23	14	airway	airway	NOUN
ejpam-5581	23	15	lumen	luman	NOUN
ejpam-5581	23	16	and	and	CCONJ
ejpam-5581	23	17	secrete	secrete	NOUN
ejpam-5581	23	18	mucus	mucus	NOUN
ejpam-5581	23	19	quickly	quickly	ADV
ejpam-5581	23	20	.	.	PUNCT
ejpam-5581	24	1	by	by	ADP
ejpam-5581	24	2	trapping	trap	VERB
ejpam-5581	24	3	and	and	CCONJ
ejpam-5581	24	4	clearing	clear	VERB
ejpam-5581	24	5	inhaled	inhaled	ADJ
ejpam-5581	24	6	particles	particle	NOUN
ejpam-5581	24	7	,	,	PUNCT
ejpam-5581	24	8	bacteria	bacteria	NOUN
ejpam-5581	24	9	,	,	PUNCT
ejpam-5581	24	10	and	and	CCONJ
ejpam-5581	24	11	irritants	irritant	NOUN
ejpam-5581	24	12	,	,	PUNCT
ejpam-5581	24	13	mucus	mucus	NOUN
ejpam-5581	24	14	helps	help	VERB
ejpam-5581	24	15	to	to	PART
ejpam-5581	24	16	protect	protect	VERB
ejpam-5581	24	17	the	the	DET
ejpam-5581	24	18	airways	airway	NOUN
ejpam-5581	24	19	.	.	PUNCT
ejpam-5581	25	1	however	however	ADV
ejpam-5581	25	2	,	,	PUNCT
ejpam-5581	25	3	for	for	ADP
ejpam-5581	25	4	mucus	mucus	NOUN
ejpam-5581	25	5	hypersecretion	hypersecretion	NOUN
ejpam-5581	25	6	in	in	ADP
ejpam-5581	25	7	chronic	chronic	ADJ
ejpam-5581	25	8	obstructive	obstructive	ADJ
ejpam-5581	25	9	pulmonary	pulmonary	ADJ
ejpam-5581	25	10	disease	disease	NOUN
ejpam-5581	25	11	(	(	PUNCT
ejpam-5581	25	12	copd	copd	PROPN
ejpam-5581	25	13	)	)	PUNCT
ejpam-5581	25	14	,	,	PUNCT
ejpam-5581	25	15	abnormally	abnormally	ADV
ejpam-5581	25	16	high	high	ADJ
ejpam-5581	25	17	mucus	mucus	NOUN
ejpam-5581	25	18	secretion	secretion	NOUN
ejpam-5581	25	19	occurs	occur	VERB
ejpam-5581	25	20	,	,	PUNCT
ejpam-5581	25	21	resulting	result	VERB
ejpam-5581	25	22	in	in	ADP
ejpam-5581	25	23	excess	excess	ADJ
ejpam-5581	25	24	mucus	mucus	NOUN
ejpam-5581	25	25	in	in	ADP
ejpam-5581	25	26	the	the	DET
ejpam-5581	25	27	airway	airway	NOUN
ejpam-5581	25	28	lumen	luman	NOUN
ejpam-5581	25	29	.	.	PUNCT
ejpam-5581	26	1	the	the	DET
ejpam-5581	26	2	mucus	mucus	NOUN
ejpam-5581	26	3	,	,	PUNCT
ejpam-5581	26	4	in	in	ADP
ejpam-5581	26	5	turn	turn	NOUN
ejpam-5581	26	6	,	,	PUNCT
ejpam-5581	26	7	forms	form	VERB
ejpam-5581	26	8	the	the	DET
ejpam-5581	26	9	airway	airway	NOUN
ejpam-5581	26	10	surface	surface	NOUN
ejpam-5581	26	11	layer	layer	NOUN
ejpam-5581	26	12	(	(	PUNCT
ejpam-5581	26	13	asl	asl	NOUN
ejpam-5581	26	14	)	)	PUNCT
ejpam-5581	26	15	and	and	CCONJ
ejpam-5581	26	16	blocks	block	VERB
ejpam-5581	26	17	the	the	DET
ejpam-5581	26	18	airway	airway	NOUN
ejpam-5581	26	19	passage	passage	NOUN
ejpam-5581	26	20	.	.	PUNCT
ejpam-5581	27	1	the	the	DET
ejpam-5581	27	2	asl	asl	PROPN
ejpam-5581	27	3	further	far	ADV
ejpam-5581	27	4	comprises	comprise	VERB
ejpam-5581	27	5	two	two	NUM
ejpam-5581	27	6	immiscible	immiscible	ADJ
ejpam-5581	27	7	layers	layer	NOUN
ejpam-5581	27	8	:	:	PUNCT
ejpam-5581	27	9	the	the	DET
ejpam-5581	27	10	upper	upper	ADJ
ejpam-5581	27	11	peri	peri	NOUN
ejpam-5581	27	12	ciliary	ciliary	ADJ
ejpam-5581	27	13	layer	layer	NOUN
ejpam-5581	27	14	(	(	PUNCT
ejpam-5581	27	15	pcl	pcl	PROPN
ejpam-5581	27	16	)	)	PUNCT
ejpam-5581	27	17	and	and	CCONJ
ejpam-5581	27	18	the	the	DET
ejpam-5581	27	19	lower	low	ADJ
ejpam-5581	27	20	airway	airway	NOUN
ejpam-5581	27	21	ciliary	ciliary	ADJ
ejpam-5581	27	22	layer	layer	NOUN
ejpam-5581	27	23	(	(	PUNCT
ejpam-5581	27	24	acl	acl	PROPN
ejpam-5581	27	25	)	)	PUNCT
ejpam-5581	27	26	.	.	PUNCT
ejpam-5581	28	1	the	the	DET
ejpam-5581	28	2	mucus	mucus	NOUN
ejpam-5581	28	3	buildup	buildup	NOUN
ejpam-5581	28	4	may	may	AUX
ejpam-5581	28	5	impair	impair	VERB
ejpam-5581	28	6	lung	lung	NOUN
ejpam-5581	28	7	function	function	NOUN
ejpam-5581	28	8	,	,	PUNCT
ejpam-5581	28	9	impede	impede	VERB
ejpam-5581	28	10	mucus	mucus	NOUN
ejpam-5581	28	11	clearance	clearance	NOUN
ejpam-5581	28	12	,	,	PUNCT
ejpam-5581	28	13	and	and	CCONJ
ejpam-5581	28	14	block	block	NOUN
ejpam-5581	28	15	airways	airway	NOUN
ejpam-5581	28	16	.	.	PUNCT
ejpam-5581	29	1	this	this	DET
ejpam-5581	29	2	excess	excess	NOUN
ejpam-5581	29	3	of	of	ADP
ejpam-5581	29	4	mucus	mucus	NOUN
ejpam-5581	29	5	can	can	AUX
ejpam-5581	29	6	also	also	ADV
ejpam-5581	29	7	trap	trap	VERB
ejpam-5581	29	8	dust	dust	NOUN
ejpam-5581	29	9	,	,	PUNCT
ejpam-5581	29	10	allergens	allergen	NOUN
ejpam-5581	29	11	,	,	PUNCT
ejpam-5581	29	12	and	and	CCONJ
ejpam-5581	29	13	pathogens	pathogen	NOUN
ejpam-5581	29	14	in	in	ADP
ejpam-5581	29	15	the	the	DET
ejpam-5581	29	16	air	air	NOUN
ejpam-5581	29	17	,	,	PUNCT
ejpam-5581	29	18	increasing	increase	VERB
ejpam-5581	29	19	respiratory	respiratory	ADJ
ejpam-5581	29	20	symptoms	symptom	NOUN
ejpam-5581	29	21	and	and	CCONJ
ejpam-5581	29	22	raising	raise	VERB
ejpam-5581	29	23	the	the	DET
ejpam-5581	29	24	risk	risk	NOUN
ejpam-5581	29	25	of	of	ADP
ejpam-5581	29	26	infection	infection	NOUN
ejpam-5581	29	27	.	.	PUNCT
ejpam-5581	30	1	to	to	PART
ejpam-5581	30	2	effectively	effectively	ADV
ejpam-5581	30	3	treat	treat	VERB
ejpam-5581	30	4	airway	airway	NOUN
ejpam-5581	30	5	blockage	blockage	NOUN
ejpam-5581	30	6	and	and	CCONJ
ejpam-5581	30	7	enhance	enhance	VERB
ejpam-5581	30	8	respiratory	respiratory	ADJ
ejpam-5581	30	9	health	health	NOUN
ejpam-5581	30	10	,	,	PUNCT
ejpam-5581	30	11	it	it	PRON
ejpam-5581	30	12	is	be	AUX
ejpam-5581	30	13	essential	essential	ADJ
ejpam-5581	30	14	to	to	PART
ejpam-5581	30	15	comprehend	comprehend	VERB
ejpam-5581	30	16	the	the	DET
ejpam-5581	30	17	processes	process	NOUN
ejpam-5581	30	18	driving	drive	VERB
ejpam-5581	30	19	mucus	mucus	NOUN
ejpam-5581	30	20	hypersecretion	hypersecretion	NOUN
ejpam-5581	30	21	[	[	X
ejpam-5581	30	22	13	13	NUM
ejpam-5581	30	23	,	,	PUNCT
ejpam-5581	30	24	15	15	NUM
ejpam-5581	30	25	,	,	PUNCT
ejpam-5581	30	26	28	28	NUM
ejpam-5581	30	27	,	,	PUNCT
ejpam-5581	30	28	29	29	NUM
ejpam-5581	30	29	,	,	PUNCT
ejpam-5581	30	30	31	31	NUM
ejpam-5581	30	31	,	,	PUNCT
ejpam-5581	30	32	34	34	NUM
ejpam-5581	30	33	]	]	PUNCT
ejpam-5581	30	34	.	.	PUNCT
ejpam-5581	31	1	the	the	DET
ejpam-5581	31	2	human	human	PROPN
ejpam-5581	31	3	airways	airway	NOUN
ejpam-5581	31	4	’	'	PUNCT
ejpam-5581	31	5	mucous	mucous	ADJ
ejpam-5581	31	6	membrane	membrane	NOUN
ejpam-5581	31	7	epithelium	epithelium	NOUN
ejpam-5581	31	8	contains	contain	VERB
ejpam-5581	31	9	ciliary	ciliary	ADJ
ejpam-5581	31	10	cells	cell	NOUN
ejpam-5581	31	11	found	find	VERB
ejpam-5581	31	12	within	within	ADP
ejpam-5581	31	13	goblet	goblet	NOUN
ejpam-5581	31	14	secretory	secretory	NOUN
ejpam-5581	31	15	cells	cell	NOUN
ejpam-5581	31	16	.	.	PUNCT
ejpam-5581	32	1	the	the	DET
ejpam-5581	32	2	structure	structure	NOUN
ejpam-5581	32	3	of	of	ADP
ejpam-5581	32	4	ciliary	ciliary	ADJ
ejpam-5581	32	5	cells	cell	NOUN
ejpam-5581	32	6	is	be	AUX
ejpam-5581	32	7	hair	hair	NOUN
ejpam-5581	32	8	-	-	PUNCT
ejpam-5581	32	9	like	like	ADJ
ejpam-5581	32	10	.	.	PUNCT
ejpam-5581	33	1	a	a	DET
ejpam-5581	33	2	ciliary	ciliary	ADJ
ejpam-5581	33	3	cell	cell	NOUN
ejpam-5581	33	4	uses	use	VERB
ejpam-5581	33	5	the	the	DET
ejpam-5581	33	6	energy	energy	NOUN
ejpam-5581	33	7	from	from	ADP
ejpam-5581	33	8	atp	atp	NOUN
ejpam-5581	33	9	hydrolysis	hydrolysis	NOUN
ejpam-5581	33	10	to	to	PART
ejpam-5581	33	11	execute	execute	VERB
ejpam-5581	33	12	a	a	DET
ejpam-5581	33	13	series	series	NOUN
ejpam-5581	33	14	of	of	ADP
ejpam-5581	33	15	effective	effective	ADJ
ejpam-5581	33	16	and	and	CCONJ
ejpam-5581	33	17	recovery	recovery	NOUN
ejpam-5581	33	18	strokes	stroke	NOUN
ejpam-5581	33	19	.	.	PUNCT
ejpam-5581	34	1	a	a	DET
ejpam-5581	34	2	ciliary	ciliary	ADJ
ejpam-5581	34	3	cell	cell	NOUN
ejpam-5581	34	4	moves	move	VERB
ejpam-5581	34	5	the	the	DET
ejpam-5581	34	6	fluid	fluid	NOUN
ejpam-5581	34	7	forward	forward	ADV
ejpam-5581	34	8	during	during	ADP
ejpam-5581	34	9	the	the	DET
ejpam-5581	34	10	effective	effective	ADJ
ejpam-5581	34	11	stroke	stroke	NOUN
ejpam-5581	34	12	and	and	CCONJ
ejpam-5581	34	13	returns	return	NOUN
ejpam-5581	34	14	to	to	ADP
ejpam-5581	34	15	its	its	PRON
ejpam-5581	34	16	initial	initial	ADJ
ejpam-5581	34	17	state	state	NOUN
ejpam-5581	34	18	in	in	ADP
ejpam-5581	34	19	the	the	DET
ejpam-5581	34	20	recovery	recovery	NOUN
ejpam-5581	34	21	stroke	stroke	NOUN
ejpam-5581	34	22	.	.	PUNCT
ejpam-5581	35	1	a	a	DET
ejpam-5581	35	2	series	series	NOUN
ejpam-5581	35	3	of	of	ADP
ejpam-5581	35	4	effective	effective	ADJ
ejpam-5581	35	5	and	and	CCONJ
ejpam-5581	35	6	recovery	recovery	NOUN
ejpam-5581	35	7	strokes	stroke	NOUN
ejpam-5581	35	8	cause	cause	VERB
ejpam-5581	35	9	a	a	DET
ejpam-5581	35	10	ciliary	ciliary	ADJ
ejpam-5581	35	11	cell	cell	NOUN
ejpam-5581	35	12	’s	’s	PART
ejpam-5581	35	13	whip	whip	NOUN
ejpam-5581	35	14	-	-	PUNCT
ejpam-5581	35	15	like	like	ADJ
ejpam-5581	35	16	swaying	swaying	NOUN
ejpam-5581	35	17	motion	motion	NOUN
ejpam-5581	35	18	.	.	PUNCT
ejpam-5581	36	1	a	a	DET
ejpam-5581	36	2	large	large	ADJ
ejpam-5581	36	3	number	number	NOUN
ejpam-5581	36	4	of	of	ADP
ejpam-5581	36	5	ciliary	ciliary	ADJ
ejpam-5581	36	6	cells	cell	NOUN
ejpam-5581	36	7	work	work	VERB
ejpam-5581	36	8	together	together	ADV
ejpam-5581	36	9	to	to	PART
ejpam-5581	36	10	produce	produce	VERB
ejpam-5581	36	11	a	a	DET
ejpam-5581	36	12	metachronal	metachronal	ADJ
ejpam-5581	36	13	wave	wave	NOUN
ejpam-5581	36	14	through	through	ADP
ejpam-5581	36	15	their	their	PRON
ejpam-5581	36	16	collective	collective	ADJ
ejpam-5581	36	17	swaying	swaying	NOUN
ejpam-5581	36	18	movements	movement	NOUN
ejpam-5581	36	19	.	.	PUNCT
ejpam-5581	37	1	with	with	ADP
ejpam-5581	37	2	varying	vary	VERB
ejpam-5581	37	3	amplitudes	amplitude	NOUN
ejpam-5581	37	4	,	,	PUNCT
ejpam-5581	37	5	this	this	DET
ejpam-5581	37	6	wave	wave	NOUN
ejpam-5581	37	7	propagates	propagate	VERB
ejpam-5581	37	8	in	in	ADP
ejpam-5581	37	9	the	the	DET
ejpam-5581	37	10	shape	shape	NOUN
ejpam-5581	37	11	of	of	ADP
ejpam-5581	37	12	an	an	DET
ejpam-5581	37	13	envelope	envelope	NOUN
ejpam-5581	37	14	along	along	ADP
ejpam-5581	37	15	an	an	DET
ejpam-5581	37	16	elliptical	elliptical	ADJ
ejpam-5581	37	17	path	path	NOUN
ejpam-5581	37	18	at	at	ADP
ejpam-5581	37	19	a	a	DET
ejpam-5581	37	20	wave	wave	NOUN
ejpam-5581	37	21	speed	speed	NOUN
ejpam-5581	37	22	[	[	X
ejpam-5581	37	23	2	2	NUM
ejpam-5581	37	24	,	,	PUNCT
ejpam-5581	37	25	9	9	NUM
ejpam-5581	37	26	,	,	PUNCT
ejpam-5581	37	27	20	20	NUM
ejpam-5581	37	28	,	,	PUNCT
ejpam-5581	37	29	21	21	NUM
ejpam-5581	37	30	,	,	PUNCT
ejpam-5581	37	31	24	24	NUM
ejpam-5581	37	32	,	,	PUNCT
ejpam-5581	37	33	30	30	NUM
ejpam-5581	37	34	,	,	PUNCT
ejpam-5581	37	35	33	33	NUM
ejpam-5581	37	36	,	,	PUNCT
ejpam-5581	37	37	35	35	NUM
ejpam-5581	37	38	]	]	PUNCT
ejpam-5581	37	39	.	.	PUNCT
ejpam-5581	38	1	this	this	DET
ejpam-5581	38	2	wave	wave	NOUN
ejpam-5581	38	3	,	,	PUNCT
ejpam-5581	38	4	in	in	ADP
ejpam-5581	38	5	turn	turn	NOUN
ejpam-5581	38	6	,	,	PUNCT
ejpam-5581	38	7	makes	make	VERB
ejpam-5581	38	8	removing	remove	VERB
ejpam-5581	38	9	foreign	foreign	ADJ
ejpam-5581	38	10	objects	object	NOUN
ejpam-5581	38	11	like	like	ADP
ejpam-5581	38	12	dust	dust	NOUN
ejpam-5581	38	13	,	,	PUNCT
ejpam-5581	38	14	germs	germ	NOUN
ejpam-5581	38	15	,	,	PUNCT
ejpam-5581	38	16	and	and	CCONJ
ejpam-5581	38	17	debris	debris	NOUN
ejpam-5581	38	18	easier	easy	ADJ
ejpam-5581	38	19	,	,	PUNCT
ejpam-5581	38	20	avoiding	avoid	VERB
ejpam-5581	38	21	their	their	PRON
ejpam-5581	38	22	buildup	buildup	NOUN
ejpam-5581	38	23	and	and	CCONJ
ejpam-5581	38	24	possible	possible	ADJ
ejpam-5581	38	25	damage	damage	NOUN
ejpam-5581	38	26	to	to	ADP
ejpam-5581	38	27	the	the	DET
ejpam-5581	38	28	airways	airway	NOUN
ejpam-5581	38	29	.	.	PUNCT
ejpam-5581	39	1	however	however	ADV
ejpam-5581	39	2	,	,	PUNCT
ejpam-5581	39	3	ciliary	ciliary	ADJ
ejpam-5581	39	4	cells	cell	NOUN
ejpam-5581	39	5	may	may	AUX
ejpam-5581	39	6	not	not	PART
ejpam-5581	39	7	function	function	VERB
ejpam-5581	39	8	properly	properly	ADV
ejpam-5581	39	9	when	when	SCONJ
ejpam-5581	39	10	there	there	PRON
ejpam-5581	39	11	is	be	VERB
ejpam-5581	39	12	an	an	DET
ejpam-5581	39	13	increased	increase	VERB
ejpam-5581	39	14	volume	volume	NOUN
ejpam-5581	39	15	of	of	ADP
ejpam-5581	39	16	mucus	mucus	NOUN
ejpam-5581	39	17	,	,	PUNCT
ejpam-5581	39	18	leading	lead	VERB
ejpam-5581	39	19	to	to	ADP
ejpam-5581	39	20	impaired	impaired	ADJ
ejpam-5581	39	21	mucociliary	mucociliary	NOUN
ejpam-5581	39	22	clearance	clearance	NOUN
ejpam-5581	39	23	(	(	PUNCT
ejpam-5581	39	24	mcc	mcc	NOUN
ejpam-5581	39	25	)	)	PUNCT
ejpam-5581	39	26	and	and	CCONJ
ejpam-5581	39	27	restricted	restrict	VERB
ejpam-5581	39	28	ciliary	ciliary	ADJ
ejpam-5581	39	29	function	function	NOUN
ejpam-5581	39	30	.	.	PUNCT
ejpam-5581	40	1	the	the	DET
ejpam-5581	40	2	excess	excess	ADJ
ejpam-5581	40	3	mucus	mucus	NOUN
ejpam-5581	40	4	can	can	AUX
ejpam-5581	40	5	hinder	hinder	VERB
ejpam-5581	40	6	the	the	DET
ejpam-5581	40	7	movement	movement	NOUN
ejpam-5581	40	8	of	of	ADP
ejpam-5581	40	9	the	the	DET
ejpam-5581	40	10	cilia	cilia	NOUN
ejpam-5581	40	11	,	,	PUNCT
ejpam-5581	40	12	causing	cause	VERB
ejpam-5581	40	13	mucus	mucus	NOUN
ejpam-5581	40	14	buildup	buildup	NOUN
ejpam-5581	40	15	,	,	PUNCT
ejpam-5581	40	16	airway	airway	NOUN
ejpam-5581	40	17	blockage	blockage	NOUN
ejpam-5581	40	18	,	,	PUNCT
ejpam-5581	40	19	and	and	CCONJ
ejpam-5581	40	20	difficulty	difficulty	NOUN
ejpam-5581	40	21	clearing	clear	VERB
ejpam-5581	40	22	the	the	DET
ejpam-5581	40	23	mucus	mucus	NOUN
ejpam-5581	40	24	[	[	X
ejpam-5581	40	25	10	10	NUM
ejpam-5581	40	26	,	,	PUNCT
ejpam-5581	40	27	11	11	NUM
ejpam-5581	40	28	,	,	PUNCT
ejpam-5581	40	29	27	27	NUM
ejpam-5581	40	30	,	,	PUNCT
ejpam-5581	40	31	37	37	NUM
ejpam-5581	40	32	]	]	PUNCT
ejpam-5581	40	33	.	.	PUNCT
ejpam-5581	41	1	understanding	understand	VERB
ejpam-5581	41	2	the	the	DET
ejpam-5581	41	3	role	role	NOUN
ejpam-5581	41	4	of	of	ADP
ejpam-5581	41	5	ciliary	ciliary	ADJ
ejpam-5581	41	6	cells	cell	NOUN
ejpam-5581	41	7	in	in	ADP
ejpam-5581	41	8	hypersecretion	hypersecretion	NOUN
ejpam-5581	41	9	is	be	AUX
ejpam-5581	41	10	crucial	crucial	ADJ
ejpam-5581	41	11	to	to	ADP
ejpam-5581	41	12	developing	develop	VERB
ejpam-5581	41	13	treatments	treatment	NOUN
ejpam-5581	41	14	that	that	PRON
ejpam-5581	41	15	can	can	AUX
ejpam-5581	41	16	improve	improve	VERB
ejpam-5581	41	17	mucus	mucus	NOUN
ejpam-5581	41	18	clearance	clearance	NOUN
ejpam-5581	41	19	and	and	CCONJ
ejpam-5581	41	20	alleviate	alleviate	VERB
ejpam-5581	41	21	respiratory	respiratory	ADJ
ejpam-5581	41	22	symptoms	symptom	NOUN
ejpam-5581	41	23	.	.	PUNCT
ejpam-5581	42	1	in	in	ADP
ejpam-5581	42	2	their	their	PRON
ejpam-5581	42	3	investigation	investigation	NOUN
ejpam-5581	42	4	,	,	PUNCT
ejpam-5581	42	5	maqbool	maqbool	PROPN
ejpam-5581	42	6	et	et	PROPN
ejpam-5581	42	7	al	al	PROPN
ejpam-5581	42	8	.	.	PUNCT
ejpam-5581	43	1	[	[	X
ejpam-5581	43	2	23	23	NUM
ejpam-5581	43	3	]	]	PUNCT
ejpam-5581	43	4	considered	consider	VERB
ejpam-5581	43	5	the	the	DET
ejpam-5581	43	6	effects	effect	NOUN
ejpam-5581	43	7	of	of	ADP
ejpam-5581	43	8	mucociliary	mucociliary	NOUN
ejpam-5581	43	9	flow	flow	NOUN
ejpam-5581	43	10	’s	’s	PART
ejpam-5581	43	11	concentration	concentration	NOUN
ejpam-5581	43	12	and	and	CCONJ
ejpam-5581	43	13	temperature	temperature	NOUN
ejpam-5581	43	14	of	of	ADP
ejpam-5581	43	15	phan	phan	NOUN
ejpam-5581	43	16	-	-	PUNCT
ejpam-5581	43	17	thien	thien	NOUN
ejpam-5581	43	18	-	-	PUNCT
ejpam-5581	43	19	tanner	tanner	NOUN
ejpam-5581	43	20	fluid	fluid	NOUN
ejpam-5581	43	21	in	in	ADP
ejpam-5581	43	22	an	an	DET
ejpam-5581	43	23	airway	airway	NOUN
ejpam-5581	43	24	channel	channel	NOUN
ejpam-5581	43	25	.	.	PUNCT
ejpam-5581	44	1	the	the	DET
ejpam-5581	44	2	acl	acl	PROPN
ejpam-5581	44	3	and	and	CCONJ
ejpam-5581	44	4	pcl	pcl	PROPN
ejpam-5581	44	5	,	,	PUNCT
ejpam-5581	44	6	two	two	NUM
ejpam-5581	44	7	layers	layer	NOUN
ejpam-5581	44	8	of	of	ADP
ejpam-5581	44	9	immiscible	immiscible	ADJ
ejpam-5581	44	10	fluids	fluid	NOUN
ejpam-5581	44	11	,	,	PUNCT
ejpam-5581	44	12	were	be	AUX
ejpam-5581	44	13	regarded	regard	VERB
ejpam-5581	44	14	as	as	ADP
ejpam-5581	44	15	the	the	DET
ejpam-5581	44	16	components	component	NOUN
ejpam-5581	44	17	of	of	ADP
ejpam-5581	44	18	asl	asl	PROPN
ejpam-5581	44	19	.	.	PUNCT
ejpam-5581	45	1	the	the	DET
ejpam-5581	45	2	pcl	pcl	PROPN
ejpam-5581	45	3	had	have	VERB
ejpam-5581	45	4	the	the	DET
ejpam-5581	45	5	highest	high	ADJ
ejpam-5581	45	6	temperature	temperature	NOUN
ejpam-5581	45	7	and	and	CCONJ
ejpam-5581	45	8	velocity	velocity	NOUN
ejpam-5581	45	9	,	,	PUNCT
ejpam-5581	45	10	whereas	whereas	SCONJ
ejpam-5581	45	11	the	the	DET
ejpam-5581	45	12	acl	acl	PROPN
ejpam-5581	45	13	had	have	VERB
ejpam-5581	45	14	the	the	DET
ejpam-5581	45	15	highest	high	ADJ
ejpam-5581	45	16	concentration	concentration	NOUN
ejpam-5581	45	17	.	.	PUNCT
ejpam-5581	46	1	recently	recently	ADV
ejpam-5581	46	2	,	,	PUNCT
ejpam-5581	46	3	ashraf	ashraf	VERB
ejpam-5581	46	4	et	et	PROPN
ejpam-5581	46	5	al	al	PROPN
ejpam-5581	46	6	.	.	PUNCT
ejpam-5581	47	1	[	[	X
ejpam-5581	47	2	5	5	NUM
ejpam-5581	47	3	]	]	PUNCT
ejpam-5581	47	4	proposed	propose	VERB
ejpam-5581	47	5	a	a	DET
ejpam-5581	47	6	two	two	NUM
ejpam-5581	47	7	-	-	PUNCT
ejpam-5581	47	8	layered	layer	VERB
ejpam-5581	47	9	mucociliary	mucociliary	NOUN
ejpam-5581	47	10	mathematical	mathematical	ADJ
ejpam-5581	47	11	model	model	NOUN
ejpam-5581	47	12	.	.	PUNCT
ejpam-5581	48	1	in	in	ADP
ejpam-5581	48	2	their	their	PRON
ejpam-5581	48	3	model	model	NOUN
ejpam-5581	48	4	,	,	PUNCT
ejpam-5581	48	5	the	the	DET
ejpam-5581	48	6	ciliary	ciliary	ADJ
ejpam-5581	48	7	movement	movement	NOUN
ejpam-5581	48	8	and	and	CCONJ
ejpam-5581	48	9	pressure	pressure	NOUN
ejpam-5581	48	10	gradient	gradient	NOUN
ejpam-5581	48	11	at	at	ADP
ejpam-5581	48	12	the	the	DET
ejpam-5581	48	13	airway	airway	NOUN
ejpam-5581	48	14	channel	channel	NOUN
ejpam-5581	48	15	entrance	entrance	NOUN
ejpam-5581	48	16	induced	induce	VERB
ejpam-5581	48	17	the	the	DET
ejpam-5581	48	18	flow	flow	NOUN
ejpam-5581	48	19	.	.	PUNCT
ejpam-5581	49	1	they	they	PRON
ejpam-5581	49	2	characterized	characterize	VERB
ejpam-5581	49	3	the	the	DET
ejpam-5581	49	4	rheological	rheological	ADJ
ejpam-5581	49	5	properties	property	NOUN
ejpam-5581	49	6	of	of	ADP
ejpam-5581	49	7	mua	mua	NOUN
ejpam-5581	49	8	.	.	PUNCT
ejpam-5581	50	1	alaidrous	alaidrous	PROPN
ejpam-5581	50	2	,	,	PUNCT
ejpam-5581	50	3	h.	h.	PROPN
ejpam-5581	50	4	ashraf	ashraf	PROPN
ejpam-5581	50	5	/	/	SYM
ejpam-5581	50	6	eur	eur	PROPN
ejpam-5581	50	7	.	.	PUNCT
ejpam-5581	51	1	j.	j.	PROPN
ejpam-5581	51	2	pure	pure	PROPN
ejpam-5581	51	3	appl	appl	PROPN
ejpam-5581	51	4	.	.	PROPN
ejpam-5581	51	5	math	math	PROPN
ejpam-5581	51	6	,	,	PUNCT
ejpam-5581	51	7	18	18	NUM
ejpam-5581	51	8	(	(	PUNCT
ejpam-5581	51	9	1	1	NUM
ejpam-5581	51	10	)	)	PUNCT
ejpam-5581	51	11	(	(	PUNCT
ejpam-5581	51	12	2025	2025	NUM
ejpam-5581	51	13	)	)	PUNCT
ejpam-5581	51	14	,	,	PUNCT
ejpam-5581	51	15	5581	5581	NUM
ejpam-5581	51	16	4	4	NUM
ejpam-5581	51	17	of	of	ADP
ejpam-5581	51	18	30	30	NUM
ejpam-5581	51	19	cus	cus	NOUN
ejpam-5581	51	20	in	in	ADP
ejpam-5581	51	21	the	the	DET
ejpam-5581	51	22	airways	airway	NOUN
ejpam-5581	51	23	using	use	VERB
ejpam-5581	51	24	third	third	ADJ
ejpam-5581	51	25	-	-	PUNCT
ejpam-5581	51	26	grade	grade	NOUN
ejpam-5581	51	27	fluid	fluid	NOUN
ejpam-5581	51	28	.	.	PUNCT
ejpam-5581	52	1	they	they	PRON
ejpam-5581	52	2	employed	employ	VERB
ejpam-5581	52	3	the	the	DET
ejpam-5581	52	4	adomian	adomian	NOUN
ejpam-5581	52	5	decomposition	decomposition	NOUN
ejpam-5581	52	6	method	method	NOUN
ejpam-5581	52	7	to	to	PART
ejpam-5581	52	8	solve	solve	VERB
ejpam-5581	52	9	the	the	DET
ejpam-5581	52	10	formulated	formulate	VERB
ejpam-5581	52	11	nonlinear	nonlinear	ADJ
ejpam-5581	52	12	partial	partial	ADJ
ejpam-5581	52	13	differential	differential	NOUN
ejpam-5581	52	14	equations	equation	NOUN
ejpam-5581	52	15	.	.	PUNCT
ejpam-5581	53	1	they	they	PRON
ejpam-5581	53	2	found	find	VERB
ejpam-5581	53	3	that	that	SCONJ
ejpam-5581	53	4	the	the	DET
ejpam-5581	53	5	pressure	pressure	NOUN
ejpam-5581	53	6	gradient	gradient	NOUN
ejpam-5581	53	7	at	at	ADP
ejpam-5581	53	8	the	the	DET
ejpam-5581	53	9	channel	channel	NOUN
ejpam-5581	53	10	entrance	entrance	NOUN
ejpam-5581	53	11	and	and	CCONJ
ejpam-5581	53	12	the	the	DET
ejpam-5581	53	13	high	high	ADJ
ejpam-5581	53	14	deborah	deborah	PROPN
ejpam-5581	53	15	number	number	NOUN
ejpam-5581	53	16	had	have	VERB
ejpam-5581	53	17	significant	significant	ADJ
ejpam-5581	53	18	effects	effect	NOUN
ejpam-5581	53	19	.	.	PUNCT
ejpam-5581	54	1	as	as	ADV
ejpam-5581	54	2	far	far	ADV
ejpam-5581	54	3	as	as	SCONJ
ejpam-5581	54	4	the	the	DET
ejpam-5581	54	5	author	author	NOUN
ejpam-5581	54	6	knows	know	VERB
ejpam-5581	54	7	,	,	PUNCT
ejpam-5581	54	8	previous	previous	ADJ
ejpam-5581	54	9	research	research	NOUN
ejpam-5581	54	10	has	have	VERB
ejpam-5581	54	11	yet	yet	ADV
ejpam-5581	54	12	to	to	PART
ejpam-5581	54	13	investigate	investigate	VERB
ejpam-5581	54	14	the	the	DET
ejpam-5581	54	15	thermal	thermal	ADJ
ejpam-5581	54	16	and	and	CCONJ
ejpam-5581	54	17	concentration	concentration	NOUN
ejpam-5581	54	18	aspects	aspect	NOUN
ejpam-5581	54	19	of	of	ADP
ejpam-5581	54	20	johnson	johnson	PROPN
ejpam-5581	54	21	-	-	PUNCT
ejpam-5581	54	22	segalman	segalman	ADJ
ejpam-5581	54	23	mucociliary	mucociliary	NOUN
ejpam-5581	54	24	fluid	fluid	NOUN
ejpam-5581	54	25	flow	flow	NOUN
ejpam-5581	54	26	while	while	SCONJ
ejpam-5581	54	27	considering	consider	VERB
ejpam-5581	54	28	the	the	DET
ejpam-5581	54	29	hypersecretion	hypersecretion	NOUN
ejpam-5581	54	30	scenario	scenario	NOUN
ejpam-5581	54	31	of	of	ADP
ejpam-5581	54	32	mucus	mucus	NOUN
ejpam-5581	54	33	.	.	PUNCT
ejpam-5581	55	1	further	further	ADJ
ejpam-5581	55	2	investigation	investigation	NOUN
ejpam-5581	55	3	is	be	AUX
ejpam-5581	55	4	required	require	VERB
ejpam-5581	55	5	to	to	PART
ejpam-5581	55	6	comprehend	comprehend	VERB
ejpam-5581	55	7	the	the	DET
ejpam-5581	55	8	flow	flow	NOUN
ejpam-5581	55	9	dynamics	dynamic	NOUN
ejpam-5581	55	10	related	relate	VERB
ejpam-5581	55	11	to	to	ADP
ejpam-5581	55	12	the	the	DET
ejpam-5581	55	13	mucociliary	mucociliary	NOUN
ejpam-5581	55	14	flow	flow	VERB
ejpam-5581	55	15	with	with	ADP
ejpam-5581	55	16	airway	airway	NOUN
ejpam-5581	55	17	mucus	mucus	NOUN
ejpam-5581	55	18	hypersecretion	hypersecretion	NOUN
ejpam-5581	55	19	to	to	PART
ejpam-5581	55	20	fill	fill	VERB
ejpam-5581	55	21	this	this	DET
ejpam-5581	55	22	research	research	NOUN
ejpam-5581	55	23	void	void	NOUN
ejpam-5581	55	24	.	.	PUNCT
ejpam-5581	56	1	most	most	ADJ
ejpam-5581	56	2	biofluids	biofluid	NOUN
ejpam-5581	56	3	exhibit	exhibit	VERB
ejpam-5581	56	4	viscoelastic	viscoelastic	ADJ
ejpam-5581	56	5	properties	property	NOUN
ejpam-5581	56	6	,	,	PUNCT
ejpam-5581	56	7	such	such	ADJ
ejpam-5581	56	8	as	as	ADP
ejpam-5581	56	9	mucus	mucus	NOUN
ejpam-5581	56	10	,	,	PUNCT
ejpam-5581	56	11	vaginal	vaginal	ADJ
ejpam-5581	56	12	discharge	discharge	NOUN
ejpam-5581	56	13	,	,	PUNCT
ejpam-5581	56	14	developing	develop	VERB
ejpam-5581	56	15	embryos	embryo	NOUN
ejpam-5581	56	16	,	,	PUNCT
ejpam-5581	56	17	synovial	synovial	ADJ
ejpam-5581	56	18	fluid	fluid	NOUN
ejpam-5581	56	19	,	,	PUNCT
ejpam-5581	56	20	and	and	CCONJ
ejpam-5581	56	21	fallopian	fallopian	ADJ
ejpam-5581	56	22	tubal	tubal	ADJ
ejpam-5581	56	23	fluid	fluid	NOUN
ejpam-5581	56	24	[	[	X
ejpam-5581	56	25	8	8	NUM
ejpam-5581	56	26	,	,	PUNCT
ejpam-5581	56	27	14	14	NUM
ejpam-5581	56	28	,	,	PUNCT
ejpam-5581	56	29	19	19	NUM
ejpam-5581	56	30	,	,	PUNCT
ejpam-5581	56	31	26	26	NUM
ejpam-5581	56	32	]	]	PUNCT
ejpam-5581	56	33	.	.	PUNCT
ejpam-5581	57	1	because	because	SCONJ
ejpam-5581	57	2	viscoelastic	viscoelastic	ADJ
ejpam-5581	57	3	fluids	fluid	NOUN
ejpam-5581	57	4	come	come	VERB
ejpam-5581	57	5	in	in	ADP
ejpam-5581	57	6	a	a	DET
ejpam-5581	57	7	wide	wide	ADJ
ejpam-5581	57	8	range	range	NOUN
ejpam-5581	57	9	of	of	ADP
ejpam-5581	57	10	varieties	variety	NOUN
ejpam-5581	57	11	,	,	PUNCT
ejpam-5581	57	12	it	it	PRON
ejpam-5581	57	13	is	be	AUX
ejpam-5581	57	14	still	still	ADV
ejpam-5581	57	15	not	not	PART
ejpam-5581	57	16	possible	possible	ADJ
ejpam-5581	57	17	to	to	PART
ejpam-5581	57	18	provide	provide	VERB
ejpam-5581	57	19	a	a	DET
ejpam-5581	57	20	fluid	fluid	ADJ
ejpam-5581	57	21	model	model	NOUN
ejpam-5581	57	22	that	that	PRON
ejpam-5581	57	23	fully	fully	ADV
ejpam-5581	57	24	captures	capture	VERB
ejpam-5581	57	25	all	all	DET
ejpam-5581	57	26	their	their	PRON
ejpam-5581	57	27	rheological	rheological	ADJ
ejpam-5581	57	28	properties	property	NOUN
ejpam-5581	57	29	.	.	PUNCT
ejpam-5581	58	1	many	many	ADJ
ejpam-5581	58	2	models	model	NOUN
ejpam-5581	58	3	have	have	AUX
ejpam-5581	58	4	been	be	AUX
ejpam-5581	58	5	developed	develop	VERB
ejpam-5581	58	6	in	in	ADP
ejpam-5581	58	7	the	the	DET
ejpam-5581	58	8	literature	literature	NOUN
ejpam-5581	58	9	to	to	PART
ejpam-5581	58	10	characterize	characterize	VERB
ejpam-5581	58	11	and	and	CCONJ
ejpam-5581	58	12	forecast	forecast	VERB
ejpam-5581	58	13	the	the	DET
ejpam-5581	58	14	behavior	behavior	NOUN
ejpam-5581	58	15	and	and	CCONJ
ejpam-5581	58	16	physical	physical	ADJ
ejpam-5581	58	17	attributes	attribute	NOUN
ejpam-5581	58	18	of	of	ADP
ejpam-5581	58	19	various	various	ADJ
ejpam-5581	58	20	materials	material	NOUN
ejpam-5581	58	21	with	with	ADP
ejpam-5581	58	22	viscoelastic	viscoelastic	ADJ
ejpam-5581	58	23	fluid	fluid	NOUN
ejpam-5581	58	24	characteristics	characteristic	NOUN
ejpam-5581	58	25	.	.	PUNCT
ejpam-5581	59	1	the	the	DET
ejpam-5581	59	2	johnson	johnson	PROPN
ejpam-5581	59	3	-	-	PUNCT
ejpam-5581	59	4	segalman	segalman	ADJ
ejpam-5581	59	5	fluid	fluid	NOUN
ejpam-5581	59	6	model	model	NOUN
ejpam-5581	59	7	is	be	AUX
ejpam-5581	59	8	a	a	DET
ejpam-5581	59	9	type	type	NOUN
ejpam-5581	59	10	of	of	ADP
ejpam-5581	59	11	viscoelastic	viscoelastic	ADJ
ejpam-5581	59	12	fluid	fluid	NOUN
ejpam-5581	59	13	that	that	PRON
ejpam-5581	59	14	allows	allow	VERB
ejpam-5581	59	15	for	for	ADP
ejpam-5581	59	16	non	non	ADJ
ejpam-5581	59	17	-	-	ADJ
ejpam-5581	59	18	affine	affine	ADJ
ejpam-5581	59	19	deformations	deformation	NOUN
ejpam-5581	59	20	.	.	PUNCT
ejpam-5581	60	1	from	from	ADP
ejpam-5581	60	2	this	this	DET
ejpam-5581	60	3	model	model	NOUN
ejpam-5581	60	4	,	,	PUNCT
ejpam-5581	60	5	one	one	PRON
ejpam-5581	60	6	can	can	AUX
ejpam-5581	60	7	recover	recover	VERB
ejpam-5581	60	8	both	both	CCONJ
ejpam-5581	60	9	the	the	DET
ejpam-5581	60	10	maxwell	maxwell	PROPN
ejpam-5581	60	11	and	and	CCONJ
ejpam-5581	60	12	newtonian	newtonian	ADJ
ejpam-5581	60	13	fluids	fluid	NOUN
ejpam-5581	60	14	as	as	ADP
ejpam-5581	60	15	special	special	ADJ
ejpam-5581	60	16	cases	case	NOUN
ejpam-5581	60	17	.	.	PUNCT
ejpam-5581	61	1	the	the	DET
ejpam-5581	61	2	spurt	spurt	PROPN
ejpam-5581	61	3	phenomenon	phenomenon	NOUN
ejpam-5581	61	4	can	can	AUX
ejpam-5581	61	5	be	be	AUX
ejpam-5581	61	6	used	use	VERB
ejpam-5581	61	7	to	to	PART
ejpam-5581	61	8	explain	explain	VERB
ejpam-5581	61	9	this	this	DET
ejpam-5581	61	10	model	model	NOUN
ejpam-5581	61	11	,	,	PUNCT
ejpam-5581	61	12	which	which	PRON
ejpam-5581	61	13	refers	refer	VERB
ejpam-5581	61	14	to	to	ADP
ejpam-5581	61	15	the	the	DET
ejpam-5581	61	16	significant	significant	ADJ
ejpam-5581	61	17	increase	increase	NOUN
ejpam-5581	61	18	in	in	ADP
ejpam-5581	61	19	volume	volume	NOUN
ejpam-5581	61	20	until	until	SCONJ
ejpam-5581	61	21	a	a	DET
ejpam-5581	61	22	critical	critical	ADJ
ejpam-5581	61	23	pressure	pressure	NOUN
ejpam-5581	61	24	gradient	gradient	NOUN
ejpam-5581	61	25	is	be	AUX
ejpam-5581	61	26	reached	reach	VERB
ejpam-5581	61	27	.	.	PUNCT
ejpam-5581	62	1	at	at	ADP
ejpam-5581	62	2	this	this	DET
ejpam-5581	62	3	point	point	NOUN
ejpam-5581	62	4	,	,	PUNCT
ejpam-5581	62	5	there	there	PRON
ejpam-5581	62	6	is	be	VERB
ejpam-5581	62	7	only	only	ADV
ejpam-5581	62	8	a	a	DET
ejpam-5581	62	9	minor	minor	ADJ
ejpam-5581	62	10	increase	increase	NOUN
ejpam-5581	62	11	in	in	ADP
ejpam-5581	62	12	the	the	DET
ejpam-5581	62	13	driving	drive	VERB
ejpam-5581	62	14	pressure	pressure	NOUN
ejpam-5581	62	15	gradient	gradient	NOUN
ejpam-5581	62	16	[	[	X
ejpam-5581	62	17	6	6	NUM
ejpam-5581	62	18	,	,	PUNCT
ejpam-5581	62	19	16	16	NUM
ejpam-5581	62	20	,	,	PUNCT
ejpam-5581	62	21	18	18	NUM
ejpam-5581	62	22	,	,	PUNCT
ejpam-5581	62	23	22	22	NUM
ejpam-5581	62	24	,	,	PUNCT
ejpam-5581	62	25	25	25	NUM
ejpam-5581	62	26	,	,	PUNCT
ejpam-5581	62	27	32	32	NUM
ejpam-5581	62	28	]	]	PUNCT
ejpam-5581	62	29	.	.	PUNCT
ejpam-5581	63	1	as	as	SCONJ
ejpam-5581	63	2	the	the	DET
ejpam-5581	63	3	mucus	mucus	NOUN
ejpam-5581	63	4	moves	move	VERB
ejpam-5581	63	5	,	,	PUNCT
ejpam-5581	63	6	it	it	PRON
ejpam-5581	63	7	continuously	continuously	ADV
ejpam-5581	63	8	grows	grow	VERB
ejpam-5581	63	9	,	,	PUNCT
ejpam-5581	63	10	making	make	VERB
ejpam-5581	63	11	the	the	DET
ejpam-5581	63	12	johnson	johnson	PROPN
ejpam-5581	63	13	-	-	PUNCT
ejpam-5581	63	14	segalman	segalman	ADJ
ejpam-5581	63	15	fluid	fluid	ADJ
ejpam-5581	63	16	model	model	NOUN
ejpam-5581	63	17	useful	useful	ADJ
ejpam-5581	63	18	for	for	ADP
ejpam-5581	63	19	analyzing	analyze	VERB
ejpam-5581	63	20	mucociliary	mucociliary	NOUN
ejpam-5581	63	21	transport	transport	NOUN
ejpam-5581	63	22	in	in	ADP
ejpam-5581	63	23	the	the	DET
ejpam-5581	63	24	human	human	ADJ
ejpam-5581	63	25	airways	airway	NOUN
ejpam-5581	63	26	.	.	PUNCT
ejpam-5581	64	1	mathematics	mathematic	NOUN
ejpam-5581	64	2	modeling	modeling	NOUN
ejpam-5581	64	3	of	of	ADP
ejpam-5581	64	4	non	non	ADJ
ejpam-5581	64	5	-	-	ADJ
ejpam-5581	64	6	newtonian	newtonian	ADJ
ejpam-5581	64	7	fluids	fluid	NOUN
ejpam-5581	64	8	produces	produce	VERB
ejpam-5581	64	9	extremely	extremely	ADV
ejpam-5581	64	10	nonlinear	nonlinear	ADJ
ejpam-5581	64	11	ordinary	ordinary	ADJ
ejpam-5581	64	12	and	and	CCONJ
ejpam-5581	64	13	partial	partial	ADJ
ejpam-5581	64	14	differential	differential	ADJ
ejpam-5581	64	15	equations	equation	NOUN
ejpam-5581	64	16	.	.	PUNCT
ejpam-5581	65	1	these	these	DET
ejpam-5581	65	2	equations	equation	NOUN
ejpam-5581	65	3	are	be	AUX
ejpam-5581	65	4	complex	complex	ADJ
ejpam-5581	65	5	to	to	PART
ejpam-5581	65	6	solve	solve	VERB
ejpam-5581	65	7	for	for	ADP
ejpam-5581	65	8	closed	closed	ADJ
ejpam-5581	65	9	-	-	PUNCT
ejpam-5581	65	10	form	form	NOUN
ejpam-5581	65	11	solutions	solution	NOUN
ejpam-5581	65	12	because	because	SCONJ
ejpam-5581	65	13	of	of	ADP
ejpam-5581	65	14	their	their	PRON
ejpam-5581	65	15	nonlinear	nonlinear	ADJ
ejpam-5581	65	16	nature	nature	NOUN
ejpam-5581	65	17	.	.	PUNCT
ejpam-5581	66	1	several	several	ADJ
ejpam-5581	66	2	analytical	analytical	ADJ
ejpam-5581	66	3	techniques	technique	NOUN
ejpam-5581	66	4	have	have	AUX
ejpam-5581	66	5	been	be	AUX
ejpam-5581	66	6	developed	develop	VERB
ejpam-5581	66	7	to	to	PART
ejpam-5581	66	8	find	find	VERB
ejpam-5581	66	9	approximate	approximate	ADJ
ejpam-5581	66	10	series	series	NOUN
ejpam-5581	66	11	solutions	solution	NOUN
ejpam-5581	66	12	for	for	ADP
ejpam-5581	66	13	related	related	ADJ
ejpam-5581	66	14	issues	issue	NOUN
ejpam-5581	66	15	to	to	PART
ejpam-5581	66	16	overcome	overcome	VERB
ejpam-5581	66	17	this	this	DET
ejpam-5581	66	18	challenge	challenge	NOUN
ejpam-5581	66	19	.	.	PUNCT
ejpam-5581	67	1	differential	differential	ADJ
ejpam-5581	67	2	,	,	PUNCT
ejpam-5581	67	3	ordinary	ordinary	ADJ
ejpam-5581	67	4	,	,	PUNCT
ejpam-5581	67	5	and	and	CCONJ
ejpam-5581	67	6	partial	partial	ADJ
ejpam-5581	67	7	equations	equation	NOUN
ejpam-5581	67	8	have	have	AUX
ejpam-5581	67	9	been	be	AUX
ejpam-5581	67	10	solved	solve	VERB
ejpam-5581	67	11	numerous	numerous	ADJ
ejpam-5581	67	12	times	time	NOUN
ejpam-5581	67	13	with	with	ADP
ejpam-5581	67	14	the	the	DET
ejpam-5581	67	15	adomian	adomian	NOUN
ejpam-5581	67	16	decomposition	decomposition	NOUN
ejpam-5581	67	17	method	method	NOUN
ejpam-5581	67	18	(	(	PUNCT
ejpam-5581	67	19	adm	adm	PROPN
ejpam-5581	67	20	)	)	PUNCT
ejpam-5581	67	21	.	.	PUNCT
ejpam-5581	68	1	one	one	NUM
ejpam-5581	68	2	distinctive	distinctive	ADJ
ejpam-5581	68	3	feature	feature	NOUN
ejpam-5581	68	4	is	be	AUX
ejpam-5581	68	5	that	that	SCONJ
ejpam-5581	68	6	adm	adm	PROPN
ejpam-5581	68	7	is	be	AUX
ejpam-5581	68	8	not	not	PART
ejpam-5581	68	9	constrained	constrain	VERB
ejpam-5581	68	10	by	by	ADP
ejpam-5581	68	11	tiny	tiny	ADJ
ejpam-5581	68	12	parameters	parameter	NOUN
ejpam-5581	68	13	,	,	PUNCT
ejpam-5581	68	14	linearization	linearization	NOUN
ejpam-5581	68	15	,	,	PUNCT
ejpam-5581	68	16	or	or	CCONJ
ejpam-5581	68	17	perturbation	perturbation	NOUN
ejpam-5581	68	18	.	.	PUNCT
ejpam-5581	69	1	instead	instead	ADV
ejpam-5581	69	2	,	,	PUNCT
ejpam-5581	69	3	we	we	PRON
ejpam-5581	69	4	obtain	obtain	VERB
ejpam-5581	69	5	a	a	DET
ejpam-5581	69	6	convergent	convergent	NOUN
ejpam-5581	69	7	solution	solution	NOUN
ejpam-5581	69	8	in	in	ADP
ejpam-5581	69	9	a	a	DET
ejpam-5581	69	10	straightforward	straightforward	ADJ
ejpam-5581	69	11	manner	manner	NOUN
ejpam-5581	69	12	by	by	ADP
ejpam-5581	69	13	solving	solve	VERB
ejpam-5581	69	14	recursive	recursive	ADJ
ejpam-5581	69	15	relations	relation	NOUN
ejpam-5581	69	16	.	.	PUNCT
ejpam-5581	70	1	hosseini	hosseini	PROPN
ejpam-5581	70	2	and	and	CCONJ
ejpam-5581	70	3	nasabzadeh	nasabzadeh	PROPN
ejpam-5581	71	1	[	[	X
ejpam-5581	71	2	17	17	NUM
ejpam-5581	71	3	]	]	PUNCT
ejpam-5581	71	4	provided	provide	VERB
ejpam-5581	71	5	the	the	DET
ejpam-5581	71	6	criteria	criterion	NOUN
ejpam-5581	71	7	for	for	ADP
ejpam-5581	71	8	the	the	DET
ejpam-5581	71	9	rapid	rapid	ADJ
ejpam-5581	71	10	convergence	convergence	NOUN
ejpam-5581	71	11	of	of	ADP
ejpam-5581	71	12	the	the	DET
ejpam-5581	71	13	solution	solution	NOUN
ejpam-5581	71	14	obtained	obtain	VERB
ejpam-5581	71	15	through	through	ADP
ejpam-5581	71	16	adm	adm	PROPN
ejpam-5581	71	17	.	.	PUNCT
ejpam-5581	72	1	the	the	DET
ejpam-5581	72	2	first	first	ADJ
ejpam-5581	72	3	few	few	ADJ
ejpam-5581	72	4	terms	term	NOUN
ejpam-5581	72	5	of	of	ADP
ejpam-5581	72	6	the	the	DET
ejpam-5581	72	7	series	series	NOUN
ejpam-5581	72	8	solution	solution	NOUN
ejpam-5581	72	9	can	can	AUX
ejpam-5581	72	10	be	be	AUX
ejpam-5581	72	11	computed	compute	VERB
ejpam-5581	72	12	to	to	PART
ejpam-5581	72	13	find	find	VERB
ejpam-5581	72	14	an	an	DET
ejpam-5581	72	15	accurate	accurate	ADJ
ejpam-5581	72	16	approximation	approximation	NOUN
ejpam-5581	72	17	solution	solution	NOUN
ejpam-5581	72	18	.	.	PUNCT
ejpam-5581	73	1	in	in	ADP
ejpam-5581	73	2	our	our	PRON
ejpam-5581	73	3	case	case	NOUN
ejpam-5581	73	4	,	,	PUNCT
ejpam-5581	73	5	the	the	DET
ejpam-5581	73	6	mucociliary	mucociliary	NOUN
ejpam-5581	73	7	flow	flow	NOUN
ejpam-5581	73	8	of	of	ADP
ejpam-5581	73	9	johnson	johnson	PROPN
ejpam-5581	73	10	-	-	PUNCT
ejpam-5581	73	11	segalman	segalman	PROPN
ejpam-5581	73	12	fluid	fluid	NOUN
ejpam-5581	73	13	in	in	ADP
ejpam-5581	73	14	the	the	DET
ejpam-5581	73	15	human	human	ADJ
ejpam-5581	73	16	airways	airways	PROPN
ejpam-5581	73	17	makes	make	VERB
ejpam-5581	73	18	finding	find	VERB
ejpam-5581	73	19	an	an	DET
ejpam-5581	73	20	exact	exact	ADJ
ejpam-5581	73	21	solution	solution	NOUN
ejpam-5581	73	22	challenging	challenging	ADJ
ejpam-5581	73	23	.	.	PUNCT
ejpam-5581	74	1	we	we	PRON
ejpam-5581	74	2	employ	employ	VERB
ejpam-5581	74	3	adm	adm	NOUN
ejpam-5581	74	4	in	in	ADP
ejpam-5581	74	5	this	this	DET
ejpam-5581	74	6	analysis	analysis	NOUN
ejpam-5581	74	7	to	to	PART
ejpam-5581	74	8	solve	solve	VERB
ejpam-5581	74	9	a	a	DET
ejpam-5581	74	10	set	set	NOUN
ejpam-5581	74	11	of	of	ADP
ejpam-5581	74	12	nonlinear	nonlinear	ADJ
ejpam-5581	74	13	partial	partial	ADJ
ejpam-5581	74	14	differential	differential	NOUN
ejpam-5581	74	15	equations	equation	NOUN
ejpam-5581	74	16	[	[	X
ejpam-5581	74	17	1	1	NUM
ejpam-5581	74	18	,	,	PUNCT
ejpam-5581	74	19	4	4	NUM
ejpam-5581	74	20	,	,	PUNCT
ejpam-5581	74	21	12	12	NUM
ejpam-5581	74	22	,	,	PUNCT
ejpam-5581	74	23	36	36	NUM
ejpam-5581	74	24	]	]	PUNCT
ejpam-5581	74	25	.	.	PUNCT
ejpam-5581	75	1	this	this	DET
ejpam-5581	75	2	paper	paper	NOUN
ejpam-5581	75	3	aims	aim	VERB
ejpam-5581	75	4	to	to	PART
ejpam-5581	75	5	improve	improve	VERB
ejpam-5581	75	6	the	the	DET
ejpam-5581	75	7	mathematical	mathematical	ADJ
ejpam-5581	75	8	model	model	NOUN
ejpam-5581	75	9	of	of	ADP
ejpam-5581	75	10	two	two	NUM
ejpam-5581	75	11	-	-	PUNCT
ejpam-5581	75	12	layered	layer	VERB
ejpam-5581	75	13	mucociliary	mucociliary	NOUN
ejpam-5581	75	14	transport	transport	NOUN
ejpam-5581	75	15	in	in	ADP
ejpam-5581	75	16	human	human	ADJ
ejpam-5581	75	17	airways	airway	NOUN
ejpam-5581	75	18	,	,	PUNCT
ejpam-5581	75	19	as	as	SCONJ
ejpam-5581	75	20	proposed	propose	VERB
ejpam-5581	75	21	by	by	ADP
ejpam-5581	75	22	ashraf	ashraf	PROPN
ejpam-5581	75	23	et	et	PROPN
ejpam-5581	75	24	al	al	PROPN
ejpam-5581	75	25	.	.	PUNCT
ejpam-5581	76	1	[	[	X
ejpam-5581	76	2	5	5	NUM
ejpam-5581	76	3	]	]	PUNCT
ejpam-5581	76	4	,	,	PUNCT
ejpam-5581	76	5	within	within	ADP
ejpam-5581	76	6	the	the	DET
ejpam-5581	76	7	context	context	NOUN
ejpam-5581	76	8	of	of	ADP
ejpam-5581	76	9	human	human	ADJ
ejpam-5581	76	10	airway	airway	NOUN
ejpam-5581	76	11	mucus	mucus	NOUN
ejpam-5581	76	12	hypersecretion	hypersecretion	NOUN
ejpam-5581	76	13	in	in	ADP
ejpam-5581	76	14	copd	copd	NOUN
ejpam-5581	76	15	.	.	PUNCT
ejpam-5581	77	1	this	this	DET
ejpam-5581	77	2	analysis	analysis	NOUN
ejpam-5581	77	3	is	be	AUX
ejpam-5581	77	4	unique	unique	ADJ
ejpam-5581	77	5	as	as	SCONJ
ejpam-5581	77	6	it	it	PRON
ejpam-5581	77	7	focuses	focus	VERB
ejpam-5581	77	8	on	on	ADP
ejpam-5581	77	9	the	the	DET
ejpam-5581	77	10	scenario	scenario	NOUN
ejpam-5581	77	11	where	where	SCONJ
ejpam-5581	77	12	the	the	DET
ejpam-5581	77	13	secreted	secrete	VERB
ejpam-5581	77	14	fluid	fluid	NOUN
ejpam-5581	77	15	fills	fill	VERB
ejpam-5581	77	16	the	the	DET
ejpam-5581	77	17	airway	airway	NOUN
ejpam-5581	77	18	channel	channel	NOUN
ejpam-5581	77	19	lumen	luman	NOUN
ejpam-5581	77	20	.	.	PUNCT
ejpam-5581	78	1	the	the	DET
ejpam-5581	78	2	mucus	mucus	NOUN
ejpam-5581	78	3	comprises	comprise	VERB
ejpam-5581	78	4	two	two	NUM
ejpam-5581	78	5	immiscible	immiscible	ADJ
ejpam-5581	78	6	layers	layer	NOUN
ejpam-5581	78	7	,	,	PUNCT
ejpam-5581	78	8	the	the	DET
ejpam-5581	78	9	acl	acl	PROPN
ejpam-5581	78	10	and	and	CCONJ
ejpam-5581	78	11	pcl	pcl	PROPN
ejpam-5581	78	12	,	,	PUNCT
ejpam-5581	78	13	which	which	PRON
ejpam-5581	78	14	can	can	AUX
ejpam-5581	78	15	trap	trap	VERB
ejpam-5581	78	16	dust	dust	NOUN
ejpam-5581	78	17	,	,	PUNCT
ejpam-5581	78	18	allergens	allergen	NOUN
ejpam-5581	78	19	,	,	PUNCT
ejpam-5581	78	20	and	and	CCONJ
ejpam-5581	78	21	pathogens	pathogen	NOUN
ejpam-5581	78	22	under	under	ADP
ejpam-5581	78	23	specific	specific	ADJ
ejpam-5581	78	24	airway	airway	NOUN
ejpam-5581	78	25	entrance	entrance	NOUN
ejpam-5581	78	26	pressure	pressure	NOUN
ejpam-5581	78	27	gradient	gradient	NOUN
ejpam-5581	78	28	conditions	condition	NOUN
ejpam-5581	78	29	.	.	PUNCT
ejpam-5581	79	1	we	we	PRON
ejpam-5581	79	2	characterize	characterize	VERB
ejpam-5581	79	3	the	the	DET
ejpam-5581	79	4	secreted	secrete	VERB
ejpam-5581	79	5	mucus	mucus	NOUN
ejpam-5581	79	6	using	use	VERB
ejpam-5581	79	7	the	the	DET
ejpam-5581	79	8	johnson	johnson	PROPN
ejpam-5581	79	9	-	-	PUNCT
ejpam-5581	79	10	segalman	segalman	ADJ
ejpam-5581	79	11	fluid	fluid	ADJ
ejpam-5581	79	12	model	model	NOUN
ejpam-5581	79	13	.	.	PUNCT
ejpam-5581	80	1	this	this	DET
ejpam-5581	80	2	analysis	analysis	NOUN
ejpam-5581	80	3	focuses	focus	VERB
ejpam-5581	80	4	on	on	ADP
ejpam-5581	80	5	investigating	investigate	VERB
ejpam-5581	80	6	the	the	DET
ejpam-5581	80	7	response	response	NOUN
ejpam-5581	80	8	of	of	ADP
ejpam-5581	80	9	the	the	DET
ejpam-5581	80	10	johnson	johnson	PROPN
ejpam-5581	80	11	-	-	PUNCT
ejpam-5581	80	12	segalman	segalman	PROPN
ejpam-5581	80	13	fluid	fluid	NOUN
ejpam-5581	80	14	to	to	ADP
ejpam-5581	80	15	concentration	concentration	NOUN
ejpam-5581	80	16	and	and	CCONJ
ejpam-5581	80	17	temperature	temperature	NOUN
ejpam-5581	80	18	changes	change	NOUN
ejpam-5581	80	19	in	in	ADP
ejpam-5581	80	20	a	a	DET
ejpam-5581	80	21	finite	finite	NOUN
ejpam-5581	80	22	,	,	PUNCT
ejpam-5581	80	23	symmetric	symmetric	ADJ
ejpam-5581	80	24	airway	airway	NOUN
ejpam-5581	80	25	channel	channel	NOUN
ejpam-5581	80	26	in	in	ADP
ejpam-5581	80	27	a	a	DET
ejpam-5581	80	28	mucus	mucus	NOUN
ejpam-5581	80	29	hypersecretion	hypersecretion	NOUN
ejpam-5581	80	30	context	context	NOUN
ejpam-5581	80	31	.	.	PUNCT
ejpam-5581	81	1	we	we	PRON
ejpam-5581	81	2	will	will	AUX
ejpam-5581	81	3	utilize	utilize	VERB
ejpam-5581	81	4	the	the	DET
ejpam-5581	81	5	smaller	small	ADJ
ejpam-5581	81	6	reynolds	reynolds	PROPN
ejpam-5581	81	7	a.	a.	PROPN
ejpam-5581	81	8	alaidrous	alaidrous	PROPN
ejpam-5581	81	9	,	,	PUNCT
ejpam-5581	81	10	h.	h.	PROPN
ejpam-5581	81	11	ashraf	ashraf	PROPN
ejpam-5581	81	12	/	/	SYM
ejpam-5581	81	13	eur	eur	PROPN
ejpam-5581	81	14	.	.	PUNCT
ejpam-5581	82	1	j.	j.	PROPN
ejpam-5581	82	2	pure	pure	PROPN
ejpam-5581	82	3	appl	appl	PROPN
ejpam-5581	82	4	.	.	PROPN
ejpam-5581	82	5	math	math	PROPN
ejpam-5581	82	6	,	,	PUNCT
ejpam-5581	82	7	18	18	NUM
ejpam-5581	82	8	(	(	PUNCT
ejpam-5581	82	9	1	1	NUM
ejpam-5581	82	10	)	)	PUNCT
ejpam-5581	82	11	(	(	PUNCT
ejpam-5581	82	12	2025	2025	NUM
ejpam-5581	82	13	)	)	PUNCT
ejpam-5581	82	14	,	,	PUNCT
ejpam-5581	82	15	5581	5581	NUM
ejpam-5581	82	16	5	5	NUM
ejpam-5581	82	17	of	of	ADP
ejpam-5581	82	18	30	30	NUM
ejpam-5581	82	19	number	number	NOUN
ejpam-5581	82	20	and	and	CCONJ
ejpam-5581	82	21	long	long	ADJ
ejpam-5581	82	22	wavelength	wavelength	NOUN
ejpam-5581	82	23	assumptions	assumption	NOUN
ejpam-5581	82	24	to	to	PART
ejpam-5581	82	25	simplify	simplify	VERB
ejpam-5581	82	26	the	the	DET
ejpam-5581	82	27	resultant	resultant	NOUN
ejpam-5581	82	28	pdes	pde	NOUN
ejpam-5581	82	29	.	.	PUNCT
ejpam-5581	83	1	in	in	ADP
ejpam-5581	83	2	turn	turn	NOUN
ejpam-5581	83	3	,	,	PUNCT
ejpam-5581	83	4	we	we	PRON
ejpam-5581	83	5	will	will	AUX
ejpam-5581	83	6	make	make	VERB
ejpam-5581	83	7	use	use	NOUN
ejpam-5581	83	8	of	of	ADP
ejpam-5581	83	9	the	the	DET
ejpam-5581	83	10	adm	adm	PROPN
ejpam-5581	83	11	to	to	PART
ejpam-5581	83	12	solve	solve	VERB
ejpam-5581	83	13	subsequent	subsequent	ADJ
ejpam-5581	83	14	pdes	pde	NOUN
ejpam-5581	83	15	for	for	ADP
ejpam-5581	83	16	velocity	velocity	NOUN
ejpam-5581	83	17	,	,	PUNCT
ejpam-5581	83	18	pressure	pressure	NOUN
ejpam-5581	83	19	gradient	gradient	NOUN
ejpam-5581	83	20	,	,	PUNCT
ejpam-5581	83	21	temperature	temperature	NOUN
ejpam-5581	83	22	,	,	PUNCT
ejpam-5581	83	23	and	and	CCONJ
ejpam-5581	83	24	concentration	concentration	NOUN
ejpam-5581	83	25	up	up	ADP
ejpam-5581	83	26	to	to	ADP
ejpam-5581	83	27	second	second	ADJ
ejpam-5581	83	28	order	order	NOUN
ejpam-5581	83	29	.	.	PUNCT
ejpam-5581	84	1	we	we	PRON
ejpam-5581	84	2	will	will	AUX
ejpam-5581	84	3	show	show	VERB
ejpam-5581	84	4	a	a	DET
ejpam-5581	84	5	graphic	graphic	ADJ
ejpam-5581	84	6	representation	representation	NOUN
ejpam-5581	84	7	of	of	ADP
ejpam-5581	84	8	the	the	DET
ejpam-5581	84	9	temperature	temperature	NOUN
ejpam-5581	84	10	,	,	PUNCT
ejpam-5581	84	11	velocity	velocity	NOUN
ejpam-5581	84	12	,	,	PUNCT
ejpam-5581	84	13	and	and	CCONJ
ejpam-5581	84	14	concentration	concentration	NOUN
ejpam-5581	84	15	distribution	distribution	NOUN
ejpam-5581	84	16	to	to	PART
ejpam-5581	84	17	acquire	acquire	VERB
ejpam-5581	84	18	a	a	DET
ejpam-5581	84	19	thorough	thorough	ADJ
ejpam-5581	84	20	understanding	understanding	NOUN
ejpam-5581	84	21	of	of	ADP
ejpam-5581	84	22	mucociliary	mucociliary	ADJ
ejpam-5581	84	23	transport	transport	NOUN
ejpam-5581	84	24	in	in	ADP
ejpam-5581	84	25	the	the	DET
ejpam-5581	84	26	case	case	NOUN
ejpam-5581	84	27	of	of	ADP
ejpam-5581	84	28	mucus	mucus	NOUN
ejpam-5581	84	29	hypersecretion	hypersecretion	NOUN
ejpam-5581	84	30	.	.	PUNCT
ejpam-5581	85	1	by	by	ADP
ejpam-5581	85	2	examining	examine	VERB
ejpam-5581	85	3	the	the	DET
ejpam-5581	85	4	corresponding	correspond	VERB
ejpam-5581	85	5	graphs	graph	NOUN
ejpam-5581	85	6	,	,	PUNCT
ejpam-5581	85	7	we	we	PRON
ejpam-5581	85	8	will	will	AUX
ejpam-5581	85	9	explore	explore	VERB
ejpam-5581	85	10	how	how	SCONJ
ejpam-5581	85	11	various	various	ADJ
ejpam-5581	85	12	parameters	parameter	NOUN
ejpam-5581	85	13	influence	influence	VERB
ejpam-5581	85	14	the	the	DET
ejpam-5581	85	15	acl	acl	PROPN
ejpam-5581	85	16	and	and	CCONJ
ejpam-5581	85	17	pcl	pcl	PROPN
ejpam-5581	85	18	velocities	velocity	NOUN
ejpam-5581	85	19	,	,	PUNCT
ejpam-5581	85	20	temperatures	temperature	NOUN
ejpam-5581	85	21	,	,	PUNCT
ejpam-5581	85	22	and	and	CCONJ
ejpam-5581	85	23	concentrations	concentration	NOUN
ejpam-5581	85	24	.	.	PUNCT
ejpam-5581	86	1	additionally	additionally	ADV
ejpam-5581	86	2	,	,	PUNCT
ejpam-5581	86	3	we	we	PRON
ejpam-5581	86	4	will	will	AUX
ejpam-5581	86	5	observe	observe	VERB
ejpam-5581	86	6	how	how	SCONJ
ejpam-5581	86	7	high	high	ADJ
ejpam-5581	86	8	weisenberg	weisenberg	ADJ
ejpam-5581	86	9	numbers	number	NOUN
ejpam-5581	86	10	affect	affect	VERB
ejpam-5581	86	11	the	the	DET
ejpam-5581	86	12	velocities	velocity	NOUN
ejpam-5581	86	13	of	of	ADP
ejpam-5581	86	14	both	both	DET
ejpam-5581	86	15	mucus	mucus	NOUN
ejpam-5581	86	16	layers	layer	NOUN
ejpam-5581	86	17	.	.	PUNCT
ejpam-5581	87	1	we	we	PRON
ejpam-5581	87	2	will	will	AUX
ejpam-5581	87	3	also	also	ADV
ejpam-5581	87	4	compare	compare	VERB
ejpam-5581	87	5	the	the	DET
ejpam-5581	87	6	johnson	johnson	PROPN
ejpam-5581	87	7	-	-	PUNCT
ejpam-5581	87	8	segalman	segalman	ADJ
ejpam-5581	87	9	and	and	CCONJ
ejpam-5581	87	10	newtonian	newtonian	ADJ
ejpam-5581	87	11	fluids	fluid	NOUN
ejpam-5581	87	12	for	for	ADP
ejpam-5581	87	13	velocities	velocity	NOUN
ejpam-5581	87	14	,	,	PUNCT
ejpam-5581	87	15	temperatures	temperature	NOUN
ejpam-5581	87	16	,	,	PUNCT
ejpam-5581	87	17	and	and	CCONJ
ejpam-5581	87	18	concentrations	concentration	NOUN
ejpam-5581	87	19	.	.	PUNCT
ejpam-5581	88	1	2	2	X
ejpam-5581	88	2	.	.	X
ejpam-5581	88	3	mathematical	mathematical	ADJ
ejpam-5581	88	4	modelling	model	VERB
ejpam-5581	88	5	2.1	2.1	NUM
ejpam-5581	88	6	.	.	PUNCT
ejpam-5581	89	1	formulation	formulation	NOUN
ejpam-5581	89	2	of	of	ADP
ejpam-5581	89	3	the	the	DET
ejpam-5581	89	4	problem	problem	NOUN
ejpam-5581	89	5	we	we	PRON
ejpam-5581	89	6	consider	consider	VERB
ejpam-5581	89	7	the	the	DET
ejpam-5581	89	8	two	two	NUM
ejpam-5581	89	9	-	-	PUNCT
ejpam-5581	89	10	layered	layer	VERB
ejpam-5581	89	11	mathematical	mathematical	ADJ
ejpam-5581	89	12	model	model	NOUN
ejpam-5581	89	13	of	of	ADP
ejpam-5581	89	14	mucociliary	mucociliary	NOUN
ejpam-5581	89	15	two	two	NUM
ejpam-5581	89	16	-	-	PUNCT
ejpam-5581	89	17	dimensional	dimensional	ADJ
ejpam-5581	89	18	johnsonsegalman	johnsonsegalman	ADJ
ejpam-5581	89	19	fluid	fluid	NOUN
ejpam-5581	89	20	flow	flow	NOUN
ejpam-5581	89	21	in	in	ADP
ejpam-5581	89	22	a	a	DET
ejpam-5581	89	23	symmetric	symmetric	ADJ
ejpam-5581	89	24	airway	airway	NOUN
ejpam-5581	89	25	channel	channel	NOUN
ejpam-5581	89	26	of	of	ADP
ejpam-5581	89	27	finite	finite	PROPN
ejpam-5581	89	28	length	length	NOUN
ejpam-5581	89	29	.	.	PUNCT
ejpam-5581	90	1	we	we	PRON
ejpam-5581	90	2	improve	improve	VERB
ejpam-5581	90	3	the	the	DET
ejpam-5581	90	4	mathematical	mathematical	ADJ
ejpam-5581	90	5	model	model	NOUN
ejpam-5581	90	6	proposed	propose	VERB
ejpam-5581	90	7	formally	formally	ADV
ejpam-5581	90	8	by	by	ADP
ejpam-5581	90	9	ashraf	ashraf	PROPN
ejpam-5581	90	10	et	et	PROPN
ejpam-5581	90	11	al	al	PROPN
ejpam-5581	90	12	.	.	PUNCT
ejpam-5581	91	1	[	[	X
ejpam-5581	91	2	5	5	NUM
ejpam-5581	91	3	]	]	PUNCT
ejpam-5581	91	4	in	in	ADP
ejpam-5581	91	5	the	the	DET
ejpam-5581	91	6	context	context	NOUN
ejpam-5581	91	7	of	of	ADP
ejpam-5581	91	8	mucus	mucus	NOUN
ejpam-5581	91	9	hypersecretion	hypersecretion	NOUN
ejpam-5581	91	10	in	in	ADP
ejpam-5581	91	11	chronic	chronic	ADJ
ejpam-5581	91	12	obstructive	obstructive	ADJ
ejpam-5581	91	13	pulmonary	pulmonary	ADJ
ejpam-5581	91	14	disease	disease	NOUN
ejpam-5581	91	15	(	(	PUNCT
ejpam-5581	91	16	copd	copd	PROPN
ejpam-5581	91	17	)	)	PUNCT
ejpam-5581	91	18	.	.	PUNCT
ejpam-5581	92	1	we	we	PRON
ejpam-5581	92	2	hypothetically	hypothetically	ADV
ejpam-5581	92	3	assume	assume	VERB
ejpam-5581	92	4	that	that	SCONJ
ejpam-5581	92	5	the	the	DET
ejpam-5581	92	6	inner	inner	ADJ
ejpam-5581	92	7	surface	surface	NOUN
ejpam-5581	92	8	of	of	ADP
ejpam-5581	92	9	the	the	DET
ejpam-5581	92	10	channel	channel	NOUN
ejpam-5581	92	11	lining	line	VERB
ejpam-5581	92	12	the	the	DET
ejpam-5581	92	13	membrane	membrane	NOUN
ejpam-5581	92	14	of	of	ADP
ejpam-5581	92	15	mucus	mucus	NOUN
ejpam-5581	92	16	is	be	AUX
ejpam-5581	92	17	populated	populate	VERB
ejpam-5581	92	18	densely	densely	ADV
ejpam-5581	92	19	with	with	ADP
ejpam-5581	92	20	goblet	goblet	NOUN
ejpam-5581	92	21	secretory	secretory	ADJ
ejpam-5581	92	22	and	and	CCONJ
ejpam-5581	92	23	ciliary	ciliary	ADJ
ejpam-5581	92	24	cells	cell	NOUN
ejpam-5581	92	25	.	.	PUNCT
ejpam-5581	93	1	the	the	DET
ejpam-5581	93	2	ciliary	ciliary	ADJ
ejpam-5581	93	3	cells	cell	NOUN
ejpam-5581	93	4	’	'	PUNCT
ejpam-5581	93	5	swaying	swaying	NOUN
ejpam-5581	93	6	movements	movement	NOUN
ejpam-5581	93	7	,	,	PUNCT
ejpam-5581	93	8	in	in	ADP
ejpam-5581	93	9	turn	turn	NOUN
ejpam-5581	93	10	,	,	PUNCT
ejpam-5581	93	11	generate	generate	VERB
ejpam-5581	93	12	a	a	DET
ejpam-5581	93	13	metachronal	metachronal	ADJ
ejpam-5581	93	14	wave	wave	NOUN
ejpam-5581	93	15	,	,	PUNCT
ejpam-5581	93	16	which	which	PRON
ejpam-5581	93	17	,	,	PUNCT
ejpam-5581	93	18	along	along	ADP
ejpam-5581	93	19	with	with	ADP
ejpam-5581	93	20	the	the	DET
ejpam-5581	93	21	airway	airway	NOUN
ejpam-5581	93	22	entrance	entrance	NOUN
ejpam-5581	93	23	pressure	pressure	NOUN
ejpam-5581	93	24	gradient	gradient	NOUN
ejpam-5581	93	25	,	,	PUNCT
ejpam-5581	93	26	induces	induce	VERB
ejpam-5581	93	27	the	the	DET
ejpam-5581	93	28	flow	flow	NOUN
ejpam-5581	93	29	.	.	PUNCT
ejpam-5581	94	1	in	in	ADP
ejpam-5581	94	2	addition	addition	NOUN
ejpam-5581	94	3	,	,	PUNCT
ejpam-5581	94	4	we	we	PRON
ejpam-5581	94	5	consider	consider	VERB
ejpam-5581	94	6	a	a	DET
ejpam-5581	94	7	scenario	scenario	NOUN
ejpam-5581	94	8	in	in	ADP
ejpam-5581	94	9	which	which	PRON
ejpam-5581	94	10	the	the	DET
ejpam-5581	94	11	goblet	goblet	NOUN
ejpam-5581	94	12	secretory	secretory	NOUN
ejpam-5581	94	13	cells	cell	NOUN
ejpam-5581	94	14	poured	pour	VERB
ejpam-5581	94	15	out	out	ADP
ejpam-5581	94	16	a	a	DET
ejpam-5581	94	17	large	large	ADJ
ejpam-5581	94	18	volume	volume	NOUN
ejpam-5581	94	19	of	of	ADP
ejpam-5581	94	20	mucus	mucus	NOUN
ejpam-5581	94	21	.	.	PUNCT
ejpam-5581	95	1	the	the	DET
ejpam-5581	95	2	secreted	secrete	VERB
ejpam-5581	95	3	mucus	mucus	NOUN
ejpam-5581	95	4	fills	fill	VERB
ejpam-5581	95	5	the	the	DET
ejpam-5581	95	6	airway	airway	NOUN
ejpam-5581	95	7	channel	channel	NOUN
ejpam-5581	95	8	lumen	luman	NOUN
ejpam-5581	95	9	and	and	CCONJ
ejpam-5581	95	10	forms	form	VERB
ejpam-5581	95	11	the	the	DET
ejpam-5581	95	12	airway	airway	NOUN
ejpam-5581	95	13	ciliary	ciliary	ADJ
ejpam-5581	95	14	layer	layer	NOUN
ejpam-5581	95	15	(	(	PUNCT
ejpam-5581	95	16	acl	acl	PROPN
ejpam-5581	95	17	)	)	PUNCT
ejpam-5581	95	18	and	and	CCONJ
ejpam-5581	95	19	periciliary	periciliary	ADJ
ejpam-5581	95	20	layer	layer	NOUN
ejpam-5581	95	21	(	(	PUNCT
ejpam-5581	95	22	pcl	pcl	PROPN
ejpam-5581	95	23	)	)	PUNCT
ejpam-5581	95	24	.	.	PUNCT
ejpam-5581	96	1	the	the	DET
ejpam-5581	96	2	flow	flow	NOUN
ejpam-5581	96	3	of	of	ADP
ejpam-5581	96	4	acl	acl	PROPN
ejpam-5581	96	5	and	and	CCONJ
ejpam-5581	96	6	pcl	pcl	PROPN
ejpam-5581	96	7	occurs	occur	VERB
ejpam-5581	96	8	in	in	ADP
ejpam-5581	96	9	immiscible	immiscible	ADJ
ejpam-5581	96	10	fluids	fluid	NOUN
ejpam-5581	96	11	with	with	ADP
ejpam-5581	96	12	differing	differ	VERB
ejpam-5581	96	13	viscosities	viscosity	NOUN
ejpam-5581	96	14	,	,	PUNCT
ejpam-5581	96	15	densities	density	NOUN
ejpam-5581	96	16	,	,	PUNCT
ejpam-5581	96	17	diffusion	diffusion	NOUN
ejpam-5581	96	18	parameters	parameter	NOUN
ejpam-5581	96	19	,	,	PUNCT
ejpam-5581	96	20	and	and	CCONJ
ejpam-5581	96	21	thermal	thermal	ADJ
ejpam-5581	96	22	conductivities	conductivity	NOUN
ejpam-5581	96	23	.	.	PUNCT
ejpam-5581	97	1	fig	fig	NOUN
ejpam-5581	97	2	.	.	PUNCT
ejpam-5581	98	1	1	1	NUM
ejpam-5581	98	2	illustrates	illustrate	VERB
ejpam-5581	98	3	a	a	DET
ejpam-5581	98	4	schematic	schematic	ADJ
ejpam-5581	98	5	representation	representation	NOUN
ejpam-5581	98	6	of	of	ADP
ejpam-5581	98	7	the	the	DET
ejpam-5581	98	8	symmetric	symmetric	ADJ
ejpam-5581	98	9	airway	airway	NOUN
ejpam-5581	98	10	channel	channel	NOUN
ejpam-5581	98	11	.	.	PUNCT
ejpam-5581	99	1	in	in	ADP
ejpam-5581	99	2	this	this	DET
ejpam-5581	99	3	representation	representation	NOUN
ejpam-5581	99	4	,	,	PUNCT
ejpam-5581	99	5	we	we	PRON
ejpam-5581	99	6	place	place	VERB
ejpam-5581	99	7	the	the	DET
ejpam-5581	99	8	x̄-axis	x̄-axis	PROPN
ejpam-5581	99	9	at	at	ADP
ejpam-5581	99	10	the	the	DET
ejpam-5581	99	11	midplane	midplane	NOUN
ejpam-5581	99	12	of	of	ADP
ejpam-5581	99	13	the	the	DET
ejpam-5581	99	14	airways	airways	PROPN
ejpam-5581	99	15	channel	channel	PROPN
ejpam-5581	99	16	,	,	PUNCT
ejpam-5581	99	17	and	and	CCONJ
ejpam-5581	99	18	the	the	DET
ejpam-5581	99	19	ȳ	ȳ	ADJ
ejpam-5581	99	20	-axis	-axis	NOUN
ejpam-5581	99	21	is	be	AUX
ejpam-5581	99	22	perpendicular	perpendicular	ADJ
ejpam-5581	99	23	to	to	ADP
ejpam-5581	99	24	it	it	PRON
ejpam-5581	99	25	.	.	PUNCT
ejpam-5581	100	1	the	the	DET
ejpam-5581	100	2	mean	mean	ADJ
ejpam-5581	100	3	half	half	ADJ
ejpam-5581	100	4	-	-	PUNCT
ejpam-5581	100	5	width	width	NOUN
ejpam-5581	100	6	of	of	ADP
ejpam-5581	100	7	the	the	DET
ejpam-5581	100	8	pcl	pcl	PROPN
ejpam-5581	100	9	is	be	AUX
ejpam-5581	100	10	denoted	denote	VERB
ejpam-5581	100	11	by	by	ADP
ejpam-5581	100	12	a	a	PRON
ejpam-5581	100	13	,	,	PUNCT
ejpam-5581	100	14	and	and	CCONJ
ejpam-5581	100	15	the	the	DET
ejpam-5581	100	16	mean	mean	ADJ
ejpam-5581	100	17	half	half	ADJ
ejpam-5581	100	18	-	-	PUNCT
ejpam-5581	100	19	width	width	NOUN
ejpam-5581	100	20	of	of	ADP
ejpam-5581	100	21	the	the	DET
ejpam-5581	100	22	acl	acl	PROPN
ejpam-5581	100	23	is	be	AUX
ejpam-5581	100	24	denoted	denote	VERB
ejpam-5581	100	25	by	by	ADP
ejpam-5581	100	26	a1	a1	PROPN
ejpam-5581	100	27	.	.	PUNCT
ejpam-5581	100	28	a.	a.	PROPN
ejpam-5581	100	29	alaidrous	alaidrous	PROPN
ejpam-5581	100	30	,	,	PUNCT
ejpam-5581	100	31	h.	h.	PROPN
ejpam-5581	100	32	ashraf	ashraf	PROPN
ejpam-5581	100	33	/	/	SYM
ejpam-5581	100	34	eur	eur	PROPN
ejpam-5581	100	35	.	.	PUNCT
ejpam-5581	101	1	j.	j.	PROPN
ejpam-5581	101	2	pure	pure	PROPN
ejpam-5581	101	3	appl	appl	PROPN
ejpam-5581	101	4	.	.	PROPN
ejpam-5581	101	5	math	math	PROPN
ejpam-5581	101	6	,	,	PUNCT
ejpam-5581	101	7	18	18	NUM
ejpam-5581	101	8	(	(	PUNCT
ejpam-5581	101	9	1	1	NUM
ejpam-5581	101	10	)	)	PUNCT
ejpam-5581	101	11	(	(	PUNCT
ejpam-5581	101	12	2025	2025	NUM
ejpam-5581	101	13	)	)	PUNCT
ejpam-5581	101	14	,	,	PUNCT
ejpam-5581	101	15	5581	5581	NUM
ejpam-5581	101	16	6	6	NUM
ejpam-5581	101	17	of	of	ADP
ejpam-5581	101	18	30	30	NUM
ejpam-5581	101	19	figure	figure	NOUN
ejpam-5581	101	20	1	1	NUM
ejpam-5581	101	21	:	:	PUNCT
ejpam-5581	101	22	schematic	schematic	ADJ
ejpam-5581	101	23	description	description	NOUN
ejpam-5581	101	24	of	of	ADP
ejpam-5581	101	25	the	the	DET
ejpam-5581	101	26	model	model	NOUN
ejpam-5581	101	27	.	.	PUNCT
ejpam-5581	102	1	this	this	DET
ejpam-5581	102	2	type	type	NOUN
ejpam-5581	102	3	of	of	ADP
ejpam-5581	102	4	flow	flow	NOUN
ejpam-5581	102	5	is	be	AUX
ejpam-5581	102	6	described	describe	VERB
ejpam-5581	102	7	by	by	ADP
ejpam-5581	102	8	the	the	DET
ejpam-5581	102	9	velocity	velocity	NOUN
ejpam-5581	102	10	vector	vector	NOUN
ejpam-5581	102	11	of	of	ADP
ejpam-5581	102	12	the	the	DET
ejpam-5581	102	13	form	form	NOUN
ejpam-5581	102	14	:	:	PUNCT
ejpam-5581	102	15	v̂(k	v̂(k	X
ejpam-5581	102	16	)	)	PUNCT
ejpam-5581	102	17	=	=	SYM
ejpam-5581	103	1	[	[	PUNCT
ejpam-5581	103	2	û	û	X
ejpam-5581	103	3	(	(	PUNCT
ejpam-5581	103	4	k)(x	k)(x	PROPN
ejpam-5581	103	5	,	,	PUNCT
ejpam-5581	103	6	y	y	PROPN
ejpam-5581	103	7	,	,	PUNCT
ejpam-5581	103	8	t	t	PROPN
ejpam-5581	103	9	)	)	PUNCT
ejpam-5581	103	10	,	,	PUNCT
ejpam-5581	103	11	v̂	v̂	PRON
ejpam-5581	103	12	(	(	PUNCT
ejpam-5581	103	13	k)(x	k)(x	PROPN
ejpam-5581	103	14	,	,	PUNCT
ejpam-5581	103	15	y	y	PROPN
ejpam-5581	103	16	,	,	PUNCT
ejpam-5581	103	17	t	t	PROPN
ejpam-5581	103	18	)	)	PUNCT
ejpam-5581	103	19	,	,	PUNCT
ejpam-5581	103	20	0	0	NUM
ejpam-5581	103	21	]	]	PUNCT
ejpam-5581	103	22	,	,	PUNCT
ejpam-5581	103	23	k	k	X
ejpam-5581	103	24	=	=	PUNCT
ejpam-5581	103	25	a	a	PROPN
ejpam-5581	103	26	,	,	PUNCT
ejpam-5581	103	27	p.	p.	NOUN
ejpam-5581	103	28	(	(	PUNCT
ejpam-5581	103	29	1	1	NUM
ejpam-5581	103	30	)	)	PUNCT
ejpam-5581	103	31	also	also	ADV
ejpam-5581	103	32	,	,	PUNCT
ejpam-5581	103	33	we	we	PRON
ejpam-5581	103	34	obtain	obtain	VERB
ejpam-5581	103	35	ŝ(k	ŝ(k	NOUN
ejpam-5581	103	36	)	)	PUNCT
ejpam-5581	103	37	=	=	SYM
ejpam-5581	103	38	ŝ(k)(x	ŝ(k)(x	PROPN
ejpam-5581	103	39	,	,	PUNCT
ejpam-5581	103	40	y	y	PROPN
ejpam-5581	103	41	,	,	PUNCT
ejpam-5581	103	42	t	t	PROPN
ejpam-5581	103	43	)	)	PUNCT
ejpam-5581	103	44	,	,	PUNCT
ejpam-5581	103	45	(	(	PUNCT
ejpam-5581	103	46	2	2	X
ejpam-5581	103	47	)	)	PUNCT
ejpam-5581	103	48	t̂	t̂	NUM
ejpam-5581	103	49	(	(	PUNCT
ejpam-5581	103	50	k	k	NOUN
ejpam-5581	103	51	)	)	PUNCT
ejpam-5581	103	52	=	=	SYM
ejpam-5581	103	53	t̂	t̂	PROPN
ejpam-5581	103	54	(	(	PUNCT
ejpam-5581	103	55	k)(x	k)(x	PROPN
ejpam-5581	103	56	,	,	PUNCT
ejpam-5581	103	57	y	y	PROPN
ejpam-5581	103	58	,	,	PUNCT
ejpam-5581	103	59	t	t	PROPN
ejpam-5581	103	60	)	)	PUNCT
ejpam-5581	103	61	,	,	PUNCT
ejpam-5581	103	62	(	(	PUNCT
ejpam-5581	103	63	3	3	X
ejpam-5581	103	64	)	)	PUNCT
ejpam-5581	103	65	ĉ(k	ĉ(k	NOUN
ejpam-5581	103	66	)	)	PUNCT
ejpam-5581	103	67	=	=	SYM
ejpam-5581	103	68	ĉ(k)(x	ĉ(k)(x	PROPN
ejpam-5581	103	69	,	,	PUNCT
ejpam-5581	103	70	y	y	PROPN
ejpam-5581	103	71	,	,	PUNCT
ejpam-5581	103	72	t	t	PROPN
ejpam-5581	103	73	)	)	PUNCT
ejpam-5581	103	74	.	.	PUNCT
ejpam-5581	104	1	(	(	PUNCT
ejpam-5581	104	2	4	4	X
ejpam-5581	104	3	)	)	PUNCT
ejpam-5581	104	4	here	here	ADV
ejpam-5581	104	5	v̂(k	v̂(k	NOUN
ejpam-5581	104	6	)	)	PUNCT
ejpam-5581	104	7	depict	depict	VERB
ejpam-5581	104	8	the	the	DET
ejpam-5581	104	9	velocity	velocity	NOUN
ejpam-5581	104	10	vector	vector	NOUN
ejpam-5581	104	11	,	,	PUNCT
ejpam-5581	104	12	ĉ(k	ĉ(k	NOUN
ejpam-5581	104	13	)	)	PUNCT
ejpam-5581	104	14	represents	represent	VERB
ejpam-5581	104	15	the	the	DET
ejpam-5581	104	16	concentration	concentration	NOUN
ejpam-5581	104	17	,	,	PUNCT
ejpam-5581	104	18	and	and	CCONJ
ejpam-5581	104	19	t̂	t̂	NUM
ejpam-5581	104	20	(	(	PUNCT
ejpam-5581	104	21	k	k	NOUN
ejpam-5581	104	22	)	)	PUNCT
ejpam-5581	104	23	signifies	signify	VERB
ejpam-5581	104	24	the	the	DET
ejpam-5581	104	25	temperature	temperature	NOUN
ejpam-5581	104	26	.	.	PUNCT
ejpam-5581	105	1	we	we	PRON
ejpam-5581	105	2	use	use	VERB
ejpam-5581	105	3	respectively	respectively	ADV
ejpam-5581	105	4	the	the	DET
ejpam-5581	105	5	k	k	NOUN
ejpam-5581	105	6	=	=	PUNCT
ejpam-5581	105	7	a	a	PROPN
ejpam-5581	105	8	and	and	CCONJ
ejpam-5581	105	9	k	k	NOUN
ejpam-5581	106	1	=	=	SYM
ejpam-5581	106	2	p	p	NOUN
ejpam-5581	106	3	in	in	ADP
ejpam-5581	106	4	the	the	DET
ejpam-5581	106	5	superscript	superscript	NOUN
ejpam-5581	106	6	to	to	PART
ejpam-5581	106	7	represent	represent	VERB
ejpam-5581	106	8	the	the	DET
ejpam-5581	106	9	acl	acl	PROPN
ejpam-5581	106	10	and	and	CCONJ
ejpam-5581	106	11	pcl	pcl	PROPN
ejpam-5581	106	12	.	.	PUNCT
ejpam-5581	107	1	the	the	DET
ejpam-5581	107	2	extra	extra	ADJ
ejpam-5581	107	3	stress	stress	NOUN
ejpam-5581	107	4	tensor	tensor	NOUN
ejpam-5581	107	5	is	be	AUX
ejpam-5581	107	6	represented	represent	VERB
ejpam-5581	107	7	by	by	ADP
ejpam-5581	107	8	ŝ(k	ŝ(k	NOUN
ejpam-5581	107	9	)	)	PUNCT
ejpam-5581	107	10	,	,	PUNCT
ejpam-5581	107	11	and	and	CCONJ
ejpam-5581	107	12	the	the	DET
ejpam-5581	107	13	velocity	velocity	NOUN
ejpam-5581	107	14	components	component	NOUN
ejpam-5581	107	15	in	in	ADP
ejpam-5581	107	16	the	the	DET
ejpam-5581	107	17	x	x	NOUN
ejpam-5581	107	18	and	and	CCONJ
ejpam-5581	107	19	y	y	PROPN
ejpam-5581	107	20	directions	direction	NOUN
ejpam-5581	107	21	are	be	AUX
ejpam-5581	107	22	represented	represent	VERB
ejpam-5581	107	23	by	by	ADP
ejpam-5581	107	24	û	û	PROPN
ejpam-5581	107	25	(	(	PUNCT
ejpam-5581	107	26	k	k	NOUN
ejpam-5581	107	27	)	)	PUNCT
ejpam-5581	107	28	and	and	CCONJ
ejpam-5581	107	29	v̂	v̂	PRON
ejpam-5581	107	30	(	(	PUNCT
ejpam-5581	107	31	k	k	NOUN
ejpam-5581	107	32	)	)	PUNCT
ejpam-5581	107	33	,	,	PUNCT
ejpam-5581	107	34	respectively	respectively	ADV
ejpam-5581	107	35	.	.	PUNCT
ejpam-5581	108	1	the	the	DET
ejpam-5581	108	2	propagating	propagate	VERB
ejpam-5581	108	3	periciliary	periciliary	ADJ
ejpam-5581	108	4	metachronal	metachronal	ADJ
ejpam-5581	108	5	wave	wave	NOUN
ejpam-5581	108	6	h	h	NOUN
ejpam-5581	108	7	is	be	AUX
ejpam-5581	108	8	defined	define	VERB
ejpam-5581	108	9	as	as	ADP
ejpam-5581	108	10	y	y	PROPN
ejpam-5581	108	11	=	=	PROPN
ejpam-5581	108	12	h	h	PROPN
ejpam-5581	108	13	=	=	SYM
ejpam-5581	108	14	f(x	f(x	PROPN
ejpam-5581	108	15	,	,	PUNCT
ejpam-5581	108	16	t	t	PROPN
ejpam-5581	108	17	)	)	PUNCT
ejpam-5581	108	18	=	=	SYM
ejpam-5581	108	19	±	±	NOUN
ejpam-5581	108	20	[	[	PUNCT
ejpam-5581	108	21	a+	a+	PUNCT
ejpam-5581	108	22	aϵ	aϵ	ADP
ejpam-5581	108	23	cos	cos	PROPN
ejpam-5581	108	24	(	(	PUNCT
ejpam-5581	108	25	2π	2π	PROPN
ejpam-5581	108	26	λ	λ	PROPN
ejpam-5581	108	27	(	(	PUNCT
ejpam-5581	108	28	x	x	PROPN
ejpam-5581	108	29	−	−	PROPN
ejpam-5581	108	30	ct	ct	PROPN
ejpam-5581	108	31	)	)	PUNCT
ejpam-5581	108	32	)	)	PUNCT
ejpam-5581	108	33	]	]	PUNCT
ejpam-5581	109	1	,	,	PUNCT
ejpam-5581	109	2	(	(	PUNCT
ejpam-5581	109	3	5	5	NUM
ejpam-5581	109	4	)	)	PUNCT
ejpam-5581	109	5	in	in	ADP
ejpam-5581	109	6	which	which	PRON
ejpam-5581	109	7	ϵ	ϵ	PRON
ejpam-5581	109	8	indicates	indicate	VERB
ejpam-5581	109	9	cilia	cilia	ADJ
ejpam-5581	109	10	length	length	NOUN
ejpam-5581	109	11	,	,	PUNCT
ejpam-5581	109	12	λ	λ	PROPN
ejpam-5581	109	13	indicates	indicate	VERB
ejpam-5581	109	14	wavelength	wavelength	NOUN
ejpam-5581	109	15	,	,	PUNCT
ejpam-5581	109	16	and	and	CCONJ
ejpam-5581	109	17	c	c	NOUN
ejpam-5581	109	18	denotes	denote	VERB
ejpam-5581	109	19	the	the	DET
ejpam-5581	109	20	speed	speed	NOUN
ejpam-5581	109	21	of	of	ADP
ejpam-5581	109	22	wave	wave	NOUN
ejpam-5581	109	23	.	.	PUNCT
ejpam-5581	110	1	the	the	DET
ejpam-5581	110	2	periciliary	periciliary	ADJ
ejpam-5581	110	3	metachronal	metachronal	ADJ
ejpam-5581	110	4	wave	wave	NOUN
ejpam-5581	110	5	and	and	CCONJ
ejpam-5581	110	6	the	the	DET
ejpam-5581	110	7	interface	interface	NOUN
ejpam-5581	110	8	between	between	ADP
ejpam-5581	110	9	the	the	DET
ejpam-5581	110	10	periciliary	periciliary	ADJ
ejpam-5581	110	11	and	and	CCONJ
ejpam-5581	110	12	airway	airway	NOUN
ejpam-5581	110	13	ciliary	ciliary	ADJ
ejpam-5581	110	14	layers	layer	NOUN
ejpam-5581	110	15	both	both	PRON
ejpam-5581	110	16	adhere	adhere	VERB
ejpam-5581	110	17	to	to	ADP
ejpam-5581	110	18	the	the	DET
ejpam-5581	110	19	same	same	ADJ
ejpam-5581	110	20	physical	physical	ADJ
ejpam-5581	110	21	laws	law	NOUN
ejpam-5581	110	22	,	,	PUNCT
ejpam-5581	110	23	and	and	CCONJ
ejpam-5581	110	24	as	as	ADP
ejpam-5581	110	25	a	a	DET
ejpam-5581	110	26	result	result	NOUN
ejpam-5581	110	27	,	,	PUNCT
ejpam-5581	110	28	the	the	DET
ejpam-5581	110	29	latter	latter	ADJ
ejpam-5581	110	30	exhibits	exhibit	VERB
ejpam-5581	110	31	comparable	comparable	ADJ
ejpam-5581	110	32	properties	property	NOUN
ejpam-5581	110	33	.	.	PUNCT
ejpam-5581	111	1	the	the	DET
ejpam-5581	111	2	shape	shape	NOUN
ejpam-5581	111	3	of	of	ADP
ejpam-5581	111	4	a	a	DET
ejpam-5581	111	5	wave	wave	NOUN
ejpam-5581	111	6	,	,	PUNCT
ejpam-5581	111	7	a	a	DET
ejpam-5581	111	8	key	key	ADJ
ejpam-5581	111	9	scientific	scientific	ADJ
ejpam-5581	111	10	concept	concept	NOUN
ejpam-5581	111	11	,	,	PUNCT
ejpam-5581	111	12	is	be	AUX
ejpam-5581	111	13	determined	determine	VERB
ejpam-5581	111	14	by	by	ADP
ejpam-5581	111	15	the	the	DET
ejpam-5581	111	16	balance	balance	NOUN
ejpam-5581	111	17	of	of	ADP
ejpam-5581	111	18	forces	force	NOUN
ejpam-5581	111	19	acting	act	VERB
ejpam-5581	111	20	on	on	ADP
ejpam-5581	111	21	a	a	DET
ejpam-5581	111	22	fluid	fluid	NOUN
ejpam-5581	111	23	.	.	PUNCT
ejpam-5581	112	1	in	in	ADP
ejpam-5581	112	2	a	a	DET
ejpam-5581	112	3	similar	similar	ADJ
ejpam-5581	112	4	manner	manner	NOUN
ejpam-5581	112	5	to	to	ADP
ejpam-5581	112	6	the	the	DET
ejpam-5581	112	7	definition	definition	NOUN
ejpam-5581	112	8	of	of	ADP
ejpam-5581	112	9	the	the	DET
ejpam-5581	112	10	periciliary	periciliary	ADJ
ejpam-5581	112	11	metachronal	metachronal	ADJ
ejpam-5581	112	12	wave	wave	NOUN
ejpam-5581	112	13	,	,	PUNCT
ejpam-5581	112	14	this	this	DET
ejpam-5581	112	15	balance	balance	NOUN
ejpam-5581	112	16	of	of	ADP
ejpam-5581	112	17	forces	force	NOUN
ejpam-5581	112	18	also	also	ADV
ejpam-5581	112	19	shapes	shape	VERB
ejpam-5581	112	20	the	the	DET
ejpam-5581	112	21	interface	interface	NOUN
ejpam-5581	112	22	between	between	ADP
ejpam-5581	112	23	the	the	DET
ejpam-5581	112	24	two	two	NUM
ejpam-5581	112	25	fluids	fluid	NOUN
ejpam-5581	112	26	.	.	PUNCT
ejpam-5581	113	1	since	since	SCONJ
ejpam-5581	113	2	this	this	DET
ejpam-5581	113	3	metachronal	metachronal	ADJ
ejpam-5581	113	4	wave	wave	NOUN
ejpam-5581	113	5	travels	travel	VERB
ejpam-5581	113	6	along	along	ADP
ejpam-5581	113	7	the	the	DET
ejpam-5581	113	8	interface	interface	NOUN
ejpam-5581	113	9	,	,	PUNCT
ejpam-5581	113	10	it	it	PRON
ejpam-5581	113	11	can	can	AUX
ejpam-5581	113	12	be	be	AUX
ejpam-5581	113	13	referred	refer	VERB
ejpam-5581	113	14	to	to	ADP
ejpam-5581	113	15	as	as	ADP
ejpam-5581	113	16	the	the	DET
ejpam-5581	113	17	airway	airway	NOUN
ejpam-5581	113	18	a.	a.	PROPN
ejpam-5581	113	19	alaidrous	alaidrous	PROPN
ejpam-5581	113	20	,	,	PUNCT
ejpam-5581	113	21	h.	h.	PROPN
ejpam-5581	113	22	ashraf	ashraf	PROPN
ejpam-5581	113	23	/	/	SYM
ejpam-5581	113	24	eur	eur	PROPN
ejpam-5581	113	25	.	.	PUNCT
ejpam-5581	114	1	j.	j.	PROPN
ejpam-5581	114	2	pure	pure	PROPN
ejpam-5581	114	3	appl	appl	PROPN
ejpam-5581	114	4	.	.	PROPN
ejpam-5581	114	5	math	math	PROPN
ejpam-5581	114	6	,	,	PUNCT
ejpam-5581	114	7	18	18	NUM
ejpam-5581	114	8	(	(	PUNCT
ejpam-5581	114	9	1	1	NUM
ejpam-5581	114	10	)	)	PUNCT
ejpam-5581	114	11	(	(	PUNCT
ejpam-5581	114	12	2025	2025	NUM
ejpam-5581	114	13	)	)	PUNCT
ejpam-5581	114	14	,	,	PUNCT
ejpam-5581	114	15	5581	5581	NUM
ejpam-5581	114	16	7	7	NUM
ejpam-5581	114	17	of	of	ADP
ejpam-5581	114	18	30	30	NUM
ejpam-5581	114	19	ciliary	ciliary	ADJ
ejpam-5581	114	20	metachronal	metachronal	ADJ
ejpam-5581	114	21	wave	wave	NOUN
ejpam-5581	114	22	h1	h1	PROPN
ejpam-5581	114	23	[	[	X
ejpam-5581	114	24	5	5	NUM
ejpam-5581	114	25	,	,	PUNCT
ejpam-5581	114	26	7	7	NUM
ejpam-5581	114	27	]	]	SYM
ejpam-5581	114	28	:	:	PUNCT
ejpam-5581	114	29	y1	y1	INTJ
ejpam-5581	114	30	=	=	PUNCT
ejpam-5581	114	31	h1	h1	NOUN
ejpam-5581	114	32	=	=	SYM
ejpam-5581	114	33	f(x	f(x	PROPN
ejpam-5581	114	34	,	,	PUNCT
ejpam-5581	114	35	t	t	PROPN
ejpam-5581	114	36	)	)	PUNCT
ejpam-5581	114	37	=	=	SYM
ejpam-5581	114	38	±	±	NOUN
ejpam-5581	114	39	[	[	PUNCT
ejpam-5581	114	40	a1	a1	NOUN
ejpam-5581	114	41	+	+	CCONJ
ejpam-5581	114	42	a1ϵ	a1ϵ	PROPN
ejpam-5581	114	43	cos	cos	PROPN
ejpam-5581	114	44	(	(	PUNCT
ejpam-5581	114	45	2π	2π	PROPN
ejpam-5581	114	46	λ	λ	X
ejpam-5581	114	47	(	(	PUNCT
ejpam-5581	114	48	x	x	PROPN
ejpam-5581	114	49	−	−	PROPN
ejpam-5581	114	50	ct	ct	PROPN
ejpam-5581	114	51	)	)	PUNCT
ejpam-5581	114	52	)	)	PUNCT
ejpam-5581	114	53	]	]	PUNCT
ejpam-5581	114	54	.	.	PUNCT
ejpam-5581	115	1	(	(	PUNCT
ejpam-5581	115	2	6	6	NUM
ejpam-5581	115	3	)	)	PUNCT
ejpam-5581	115	4	in	in	ADP
ejpam-5581	115	5	a	a	DET
ejpam-5581	115	6	symmetric	symmetric	ADJ
ejpam-5581	115	7	channel	channel	NOUN
ejpam-5581	115	8	,	,	PUNCT
ejpam-5581	115	9	the	the	DET
ejpam-5581	115	10	cilia	cilia	PROPN
ejpam-5581	115	11	’s	’s	PART
ejpam-5581	115	12	movement	movement	NOUN
ejpam-5581	115	13	follows	follow	VERB
ejpam-5581	115	14	an	an	DET
ejpam-5581	115	15	elliptical	elliptical	ADJ
ejpam-5581	115	16	pattern	pattern	NOUN
ejpam-5581	115	17	.	.	PUNCT
ejpam-5581	116	1	so	so	ADV
ejpam-5581	116	2	,	,	PUNCT
ejpam-5581	116	3	the	the	DET
ejpam-5581	116	4	perpendicular	perpendicular	ADJ
ejpam-5581	116	5	location	location	NOUN
ejpam-5581	116	6	of	of	ADP
ejpam-5581	116	7	cilia	cilia	NOUN
ejpam-5581	116	8	is	be	AUX
ejpam-5581	116	9	governed	govern	VERB
ejpam-5581	116	10	by	by	ADP
ejpam-5581	116	11	the	the	DET
ejpam-5581	116	12	following	follow	VERB
ejpam-5581	116	13	equation	equation	NOUN
ejpam-5581	116	14	:	:	PUNCT
ejpam-5581	116	15	x	x	SYM
ejpam-5581	116	16	=	=	SYM
ejpam-5581	116	17	g(x	g(x	PROPN
ejpam-5581	116	18	,	,	PUNCT
ejpam-5581	116	19	t	t	PROPN
ejpam-5581	116	20	)	)	PUNCT
ejpam-5581	116	21	=	=	SYM
ejpam-5581	117	1	x0	x0	PROPN
ejpam-5581	117	2	+	+	CCONJ
ejpam-5581	117	3	aϵα	aϵα	NOUN
ejpam-5581	117	4	sin	sin	NOUN
ejpam-5581	117	5	(	(	PUNCT
ejpam-5581	117	6	2π	2π	PROPN
ejpam-5581	117	7	λ	λ	X
ejpam-5581	117	8	(	(	PUNCT
ejpam-5581	117	9	x	x	PROPN
ejpam-5581	117	10	−	−	PROPN
ejpam-5581	117	11	ct	ct	PROPN
ejpam-5581	117	12	)	)	PUNCT
ejpam-5581	117	13	)	)	PUNCT
ejpam-5581	117	14	,	,	PUNCT
ejpam-5581	117	15	(	(	PUNCT
ejpam-5581	117	16	7	7	X
ejpam-5581	117	17	)	)	PUNCT
ejpam-5581	117	18	here	here	ADV
ejpam-5581	117	19	α	α	PROPN
ejpam-5581	117	20	represents	represent	VERB
ejpam-5581	117	21	the	the	DET
ejpam-5581	117	22	eccentricity	eccentricity	NOUN
ejpam-5581	117	23	of	of	ADP
ejpam-5581	117	24	elliptical	elliptical	ADJ
ejpam-5581	117	25	path	path	NOUN
ejpam-5581	117	26	andx0	andx0	NOUN
ejpam-5581	117	27	represents	represent	VERB
ejpam-5581	117	28	the	the	DET
ejpam-5581	117	29	reference	reference	NOUN
ejpam-5581	117	30	position	position	NOUN
ejpam-5581	117	31	of	of	ADP
ejpam-5581	117	32	the	the	DET
ejpam-5581	117	33	fluid	fluid	ADJ
ejpam-5581	117	34	particle	particle	NOUN
ejpam-5581	117	35	.	.	PUNCT
ejpam-5581	118	1	if	if	SCONJ
ejpam-5581	118	2	the	the	DET
ejpam-5581	118	3	no	no	DET
ejpam-5581	118	4	-	-	PUNCT
ejpam-5581	118	5	slip	slip	NOUN
ejpam-5581	118	6	condition	condition	NOUN
ejpam-5581	118	7	is	be	AUX
ejpam-5581	118	8	present	present	ADJ
ejpam-5581	118	9	,	,	PUNCT
ejpam-5581	118	10	the	the	DET
ejpam-5581	118	11	velocities	velocity	NOUN
ejpam-5581	118	12	of	of	ADP
ejpam-5581	118	13	the	the	DET
ejpam-5581	118	14	fluid	fluid	ADJ
ejpam-5581	118	15	particles	particle	NOUN
ejpam-5581	118	16	are	be	AUX
ejpam-5581	118	17	determined	determine	VERB
ejpam-5581	118	18	solely	solely	ADV
ejpam-5581	118	19	by	by	ADP
ejpam-5581	118	20	the	the	DET
ejpam-5581	118	21	cilia	cilia	ADJ
ejpam-5581	118	22	tips	tip	NOUN
ejpam-5581	118	23	.	.	PUNCT
ejpam-5581	119	1	consequently	consequently	ADV
ejpam-5581	119	2	,	,	PUNCT
ejpam-5581	119	3	the	the	DET
ejpam-5581	119	4	components	component	NOUN
ejpam-5581	119	5	of	of	ADP
ejpam-5581	119	6	velocity	velocity	NOUN
ejpam-5581	119	7	x	x	PUNCT
ejpam-5581	119	8	and	and	CCONJ
ejpam-5581	119	9	y	y	PROPN
ejpam-5581	119	10	can	can	AUX
ejpam-5581	119	11	be	be	AUX
ejpam-5581	119	12	calculated	calculate	VERB
ejpam-5581	119	13	as	as	SCONJ
ejpam-5581	119	14	follows	follow	VERB
ejpam-5581	119	15	:	:	PUNCT
ejpam-5581	119	16	ũ	ũ	PROPN
ejpam-5581	119	17	=	=	SYM
ejpam-5581	119	18	∂tx|x	∂tx|x	NOUN
ejpam-5581	119	19	=	=	ADJ
ejpam-5581	119	20	x0	x0	NOUN
ejpam-5581	119	21	=	=	PUNCT
ejpam-5581	120	1	∂tg	∂tg	NOUN
ejpam-5581	120	2	+	+	CCONJ
ejpam-5581	120	3	∂xg.∂tx	∂xg.∂tx	NOUN
ejpam-5581	120	4	=	=	NOUN
ejpam-5581	120	5	∂tg	∂tg	NOUN
ejpam-5581	120	6	+	+	CCONJ
ejpam-5581	120	7	∂xgũ	∂xgũ	NOUN
ejpam-5581	120	8	.	.	PUNCT
ejpam-5581	121	1	(	(	PUNCT
ejpam-5581	121	2	8)	8)	NUM
ejpam-5581	121	3	ṽ	ṽ	NOUN
ejpam-5581	121	4	=	=	PUNCT
ejpam-5581	121	5	∂ty	∂ty	PROPN
ejpam-5581	121	6	|x	|x	NOUN
ejpam-5581	121	7	=	=	SYM
ejpam-5581	121	8	x0	x0	NOUN
ejpam-5581	121	9	=	=	PUNCT
ejpam-5581	122	1	∂t̄f	∂t̄f	NOUN
ejpam-5581	122	2	+	+	SYM
ejpam-5581	122	3	∂xf.∂tx	∂xf.∂tx	NOUN
ejpam-5581	122	4	=	=	NOUN
ejpam-5581	122	5	∂tf	∂tf	PROPN
ejpam-5581	122	6	+	+	CCONJ
ejpam-5581	122	7	∂xfũ	∂xfũ	ADJ
ejpam-5581	122	8	.	.	PUNCT
ejpam-5581	123	1	(	(	PUNCT
ejpam-5581	123	2	9	9	X
ejpam-5581	123	3	)	)	PUNCT
ejpam-5581	123	4	when	when	SCONJ
ejpam-5581	123	5	eq	eq	ADJ
ejpam-5581	123	6	.	.	PUNCT
ejpam-5581	124	1	(	(	PUNCT
ejpam-5581	124	2	5	5	NUM
ejpam-5581	124	3	)	)	PUNCT
ejpam-5581	124	4	and	and	CCONJ
ejpam-5581	124	5	eq	eq	NOUN
ejpam-5581	124	6	.	.	PUNCT
ejpam-5581	125	1	(	(	PUNCT
ejpam-5581	125	2	7	7	X
ejpam-5581	125	3	)	)	PUNCT
ejpam-5581	125	4	are	be	AUX
ejpam-5581	125	5	used	use	VERB
ejpam-5581	125	6	into	into	ADP
ejpam-5581	125	7	eq	eq	PROPN
ejpam-5581	125	8	.	.	PUNCT
ejpam-5581	126	1	(	(	PUNCT
ejpam-5581	126	2	8)	8)	NUM
ejpam-5581	126	3	and	and	CCONJ
ejpam-5581	126	4	eq	eq	NOUN
ejpam-5581	126	5	.	.	PUNCT
ejpam-5581	127	1	(	(	PUNCT
ejpam-5581	127	2	9	9	NUM
ejpam-5581	127	3	)	)	PUNCT
ejpam-5581	127	4	,	,	PUNCT
ejpam-5581	127	5	the	the	DET
ejpam-5581	127	6	following	follow	VERB
ejpam-5581	127	7	components	component	NOUN
ejpam-5581	127	8	of	of	ADP
ejpam-5581	127	9	velocity	velocity	NOUN
ejpam-5581	127	10	imparted	impart	VERB
ejpam-5581	127	11	by	by	ADP
ejpam-5581	127	12	the	the	DET
ejpam-5581	127	13	cilia	cilia	ADJ
ejpam-5581	127	14	tip	tip	NOUN
ejpam-5581	127	15	to	to	ADP
ejpam-5581	127	16	the	the	DET
ejpam-5581	127	17	fluid	fluid	ADJ
ejpam-5581	127	18	particles	particle	NOUN
ejpam-5581	127	19	are	be	AUX
ejpam-5581	127	20	obtained	obtain	VERB
ejpam-5581	127	21	:	:	PUNCT
ejpam-5581	127	22	ũ	ũ	PROPN
ejpam-5581	127	23	=	=	SYM
ejpam-5581	127	24	−2π	−2π	PROPN
ejpam-5581	127	25	λ	λ	PROPN
ejpam-5581	127	26	[	[	PUNCT
ejpam-5581	127	27	acϵα	acϵα	X
ejpam-5581	127	28	cos(2πλ	cos(2πλ	INTJ
ejpam-5581	127	29	(	(	PUNCT
ejpam-5581	127	30	x	x	NOUN
ejpam-5581	127	31	−	−	PROPN
ejpam-5581	127	32	ct	ct	PROPN
ejpam-5581	127	33	)	)	PUNCT
ejpam-5581	127	34	)	)	PUNCT
ejpam-5581	127	35	]	]	PUNCT
ejpam-5581	128	1	1−	1−	NUM
ejpam-5581	128	2	2π	2π	NUM
ejpam-5581	128	3	λ	λ	PROPN
ejpam-5581	128	4	[	[	PUNCT
ejpam-5581	128	5	aϵα	aϵα	NOUN
ejpam-5581	128	6	cos(2πλ	cos(2πλ	INTJ
ejpam-5581	128	7	(	(	PUNCT
ejpam-5581	128	8	x	x	NOUN
ejpam-5581	128	9	−	−	PROPN
ejpam-5581	128	10	ct	ct	PROPN
ejpam-5581	128	11	)	)	PUNCT
ejpam-5581	128	12	)	)	PUNCT
ejpam-5581	128	13	]	]	PUNCT
ejpam-5581	128	14	.	.	PUNCT
ejpam-5581	129	1	(	(	PUNCT
ejpam-5581	129	2	10	10	NUM
ejpam-5581	129	3	)	)	PUNCT
ejpam-5581	129	4	ṽ	ṽ	PROPN
ejpam-5581	129	5	=	=	SYM
ejpam-5581	129	6	−2π	−2π	PROPN
ejpam-5581	129	7	λ	λ	PROPN
ejpam-5581	129	8	[	[	PUNCT
ejpam-5581	129	9	acϵα	acϵα	NOUN
ejpam-5581	129	10	sin(2πλ	sin(2πλ	INTJ
ejpam-5581	129	11	(	(	PUNCT
ejpam-5581	129	12	x	x	NOUN
ejpam-5581	129	13	−	−	PROPN
ejpam-5581	129	14	ct	ct	PROPN
ejpam-5581	129	15	)	)	PUNCT
ejpam-5581	129	16	)	)	PUNCT
ejpam-5581	129	17	]	]	PUNCT
ejpam-5581	130	1	1−	1−	NUM
ejpam-5581	130	2	2π	2π	NUM
ejpam-5581	130	3	λ	λ	PROPN
ejpam-5581	130	4	[	[	PUNCT
ejpam-5581	130	5	aϵα	aϵα	NOUN
ejpam-5581	130	6	cos(2πλ	cos(2πλ	INTJ
ejpam-5581	130	7	(	(	PUNCT
ejpam-5581	130	8	x	x	NOUN
ejpam-5581	130	9	−	−	PROPN
ejpam-5581	130	10	ct	ct	PROPN
ejpam-5581	130	11	)	)	PUNCT
ejpam-5581	130	12	)	)	PUNCT
ejpam-5581	130	13	]	]	PUNCT
ejpam-5581	130	14	.	.	PUNCT
ejpam-5581	131	1	(	(	PUNCT
ejpam-5581	131	2	11	11	NUM
ejpam-5581	131	3	)	)	PUNCT
ejpam-5581	131	4	2.2	2.2	NUM
ejpam-5581	131	5	.	.	PUNCT
ejpam-5581	132	1	governing	govern	VERB
ejpam-5581	132	2	equations	equation	NOUN
ejpam-5581	132	3	the	the	DET
ejpam-5581	132	4	continuity	continuity	NOUN
ejpam-5581	132	5	equation	equation	NOUN
ejpam-5581	132	6	,	,	PUNCT
ejpam-5581	132	7	extra	extra	ADJ
ejpam-5581	132	8	stress	stress	NOUN
ejpam-5581	132	9	,	,	PUNCT
ejpam-5581	132	10	linear	linear	ADJ
ejpam-5581	132	11	momentum	momentum	NOUN
ejpam-5581	132	12	conservation	conservation	NOUN
ejpam-5581	132	13	,	,	PUNCT
ejpam-5581	132	14	energy	energy	NOUN
ejpam-5581	132	15	equation	equation	NOUN
ejpam-5581	132	16	,	,	PUNCT
ejpam-5581	132	17	and	and	CCONJ
ejpam-5581	132	18	concentration	concentration	NOUN
ejpam-5581	132	19	all	all	PRON
ejpam-5581	132	20	govern	govern	VERB
ejpam-5581	132	21	the	the	DET
ejpam-5581	132	22	flow	flow	NOUN
ejpam-5581	132	23	situation	situation	NOUN
ejpam-5581	132	24	under	under	ADP
ejpam-5581	132	25	investigation	investigation	NOUN
ejpam-5581	132	26	[	[	X
ejpam-5581	132	27	3	3	NUM
ejpam-5581	132	28	,	,	PUNCT
ejpam-5581	132	29	5	5	NUM
ejpam-5581	132	30	,	,	PUNCT
ejpam-5581	132	31	6	6	NUM
ejpam-5581	132	32	,	,	PUNCT
ejpam-5581	132	33	18	18	NUM
ejpam-5581	132	34	,	,	PUNCT
ejpam-5581	132	35	23	23	NUM
ejpam-5581	132	36	,	,	PUNCT
ejpam-5581	132	37	32	32	NUM
ejpam-5581	132	38	]	]	PUNCT
ejpam-5581	132	39	.	.	PUNCT
ejpam-5581	133	1	we	we	PRON
ejpam-5581	133	2	introduce	introduce	VERB
ejpam-5581	133	3	and	and	CCONJ
ejpam-5581	133	4	apply	apply	VERB
ejpam-5581	133	5	these	these	DET
ejpam-5581	133	6	governing	govern	VERB
ejpam-5581	133	7	equations	equation	NOUN
ejpam-5581	133	8	in	in	ADP
ejpam-5581	133	9	the	the	DET
ejpam-5581	133	10	following	follow	VERB
ejpam-5581	133	11	order	order	NOUN
ejpam-5581	133	12	:	:	PUNCT
ejpam-5581	133	13	•	•	NUM
ejpam-5581	133	14	equation	equation	NOUN
ejpam-5581	133	15	of	of	ADP
ejpam-5581	133	16	continuity	continuity	NOUN
ejpam-5581	133	17	:	:	PUNCT
ejpam-5581	133	18	the	the	DET
ejpam-5581	133	19	equation	equation	NOUN
ejpam-5581	133	20	of	of	ADP
ejpam-5581	133	21	continuity	continuity	NOUN
ejpam-5581	133	22	guarantees	guarantee	VERB
ejpam-5581	133	23	the	the	DET
ejpam-5581	133	24	conservation	conservation	NOUN
ejpam-5581	133	25	of	of	ADP
ejpam-5581	133	26	mass	mass	NOUN
ejpam-5581	133	27	throughout	throughout	ADP
ejpam-5581	133	28	the	the	DET
ejpam-5581	133	29	flow	flow	NOUN
ejpam-5581	133	30	.	.	PUNCT
ejpam-5581	134	1	the	the	DET
ejpam-5581	134	2	continuity	continuity	NOUN
ejpam-5581	134	3	equation	equation	NOUN
ejpam-5581	134	4	for	for	ADP
ejpam-5581	134	5	an	an	DET
ejpam-5581	134	6	incompressible	incompressible	ADJ
ejpam-5581	134	7	fluid	fluid	NOUN
ejpam-5581	134	8	is	be	AUX
ejpam-5581	134	9	stated	state	VERB
ejpam-5581	134	10	as	as	SCONJ
ejpam-5581	134	11	follows	follow	VERB
ejpam-5581	134	12	:	:	PUNCT
ejpam-5581	134	13	∇	∇	X
ejpam-5581	134	14	·	·	PUNCT
ejpam-5581	134	15	v̂(k	v̂(k	X
ejpam-5581	134	16	)	)	PUNCT
ejpam-5581	134	17	=	=	SYM
ejpam-5581	135	1	0	0	X
ejpam-5581	135	2	.	.	PUNCT
ejpam-5581	136	1	(	(	PUNCT
ejpam-5581	136	2	12	12	NUM
ejpam-5581	136	3	)	)	PUNCT
ejpam-5581	136	4	the	the	DET
ejpam-5581	136	5	velocity	velocity	NOUN
ejpam-5581	136	6	vector	vector	NOUN
ejpam-5581	136	7	(	(	PUNCT
ejpam-5581	136	8	1	1	X
ejpam-5581	136	9	)	)	PUNCT
ejpam-5581	136	10	identically	identically	ADV
ejpam-5581	136	11	satisfies	satisfy	VERB
ejpam-5581	136	12	the	the	DET
ejpam-5581	136	13	equation	equation	NOUN
ejpam-5581	136	14	of	of	ADP
ejpam-5581	136	15	continuity	continuity	NOUN
ejpam-5581	136	16	(	(	PUNCT
ejpam-5581	136	17	12	12	NUM
ejpam-5581	136	18	)	)	PUNCT
ejpam-5581	136	19	.	.	PUNCT
ejpam-5581	137	1	•	•	NUM
ejpam-5581	137	2	extra	extra	ADJ
ejpam-5581	137	3	stress	stress	NOUN
ejpam-5581	137	4	tensor	tensor	NOUN
ejpam-5581	137	5	:	:	PUNCT
ejpam-5581	137	6	for	for	ADP
ejpam-5581	137	7	the	the	DET
ejpam-5581	137	8	incompressible	incompressible	ADJ
ejpam-5581	137	9	johnson	johnson	PROPN
ejpam-5581	137	10	-	-	PUNCT
ejpam-5581	137	11	segalman	segalman	NOUN
ejpam-5581	137	12	fluid	fluid	NOUN
ejpam-5581	137	13	,	,	PUNCT
ejpam-5581	137	14	we	we	PRON
ejpam-5581	137	15	define	define	VERB
ejpam-5581	137	16	the	the	DET
ejpam-5581	137	17	extra	extra	ADJ
ejpam-5581	137	18	stress	stress	NOUN
ejpam-5581	137	19	tensor	tensor	NOUN
ejpam-5581	137	20	to	to	AUX
ejpam-5581	137	21	account	account	NOUN
ejpam-5581	137	22	for	for	ADP
ejpam-5581	137	23	viscoelastic	viscoelastic	ADJ
ejpam-5581	137	24	effects	effect	NOUN
ejpam-5581	137	25	and	and	CCONJ
ejpam-5581	137	26	spurt	spurt	NOUN
ejpam-5581	137	27	phenomena	phenomenon	NOUN
ejpam-5581	137	28	in	in	ADP
ejpam-5581	137	29	the	the	DET
ejpam-5581	137	30	following	following	ADJ
ejpam-5581	137	31	way	way	NOUN
ejpam-5581	137	32	:	:	PUNCT
ejpam-5581	137	33	ŝ(k	ŝ(k	ADJ
ejpam-5581	137	34	)	)	PUNCT
ejpam-5581	137	35	=	=	SYM
ejpam-5581	137	36	2µ̂kd̂	2µ̂kd̂	NUM
ejpam-5581	137	37	(	(	PUNCT
ejpam-5581	137	38	k	k	NOUN
ejpam-5581	137	39	)	)	PUNCT
ejpam-5581	137	40	+	+	NUM
ejpam-5581	137	41	σ̂(k	σ̂(k	NOUN
ejpam-5581	137	42	)	)	PUNCT
ejpam-5581	137	43	,	,	PUNCT
ejpam-5581	137	44	(	(	PUNCT
ejpam-5581	137	45	13	13	NUM
ejpam-5581	137	46	)	)	PUNCT
ejpam-5581	137	47	σ̂(k	σ̂(k	NOUN
ejpam-5581	137	48	)	)	PUNCT
ejpam-5581	138	1	+	+	NUM
ejpam-5581	138	2	λ	λ	X
ejpam-5581	138	3	(	(	PUNCT
ejpam-5581	138	4	k	k	NOUN
ejpam-5581	138	5	)	)	PUNCT
ejpam-5581	138	6	1	1	NUM
ejpam-5581	138	7	[	[	PUNCT
ejpam-5581	138	8	d̂tσ̂	d̂tσ̂	PROPN
ejpam-5581	138	9	(	(	PUNCT
ejpam-5581	138	10	k	k	NOUN
ejpam-5581	138	11	)	)	PUNCT
ejpam-5581	138	12	+	+	NUM
ejpam-5581	138	13	σ̂(k	σ̂(k	NOUN
ejpam-5581	138	14	)	)	PUNCT
ejpam-5581	138	15	(	(	PUNCT
ejpam-5581	138	16	ŵ(k	ŵ(k	ADP
ejpam-5581	138	17	)	)	PUNCT
ejpam-5581	138	18	−	−	PROPN
ejpam-5581	138	19	ekd̂	ekd̂	PROPN
ejpam-5581	138	20	(	(	PUNCT
ejpam-5581	138	21	k	k	NOUN
ejpam-5581	138	22	)	)	PUNCT
ejpam-5581	138	23	)	)	PUNCT
ejpam-5581	139	1	+	+	CCONJ
ejpam-5581	139	2	(	(	PUNCT
ejpam-5581	139	3	ŵ(k	ŵ(k	ADJ
ejpam-5581	139	4	)	)	PUNCT
ejpam-5581	139	5	−	−	PROPN
ejpam-5581	139	6	ekd̂	ekd̂	PROPN
ejpam-5581	139	7	(	(	PUNCT
ejpam-5581	139	8	k	k	NOUN
ejpam-5581	139	9	)	)	PUNCT
ejpam-5581	139	10	)	)	PUNCT
ejpam-5581	139	11	tr	tr	VERB
ejpam-5581	139	12	σ̂(k	σ̂(k	NOUN
ejpam-5581	139	13	)	)	PUNCT
ejpam-5581	139	14	]	]	PUNCT
ejpam-5581	139	15	=	=	SYM
ejpam-5581	139	16	2η̂kσ̂	2η̂kσ̂	NUM
ejpam-5581	139	17	(	(	PUNCT
ejpam-5581	139	18	k	k	NOUN
ejpam-5581	139	19	)	)	PUNCT
ejpam-5581	139	20	,	,	PUNCT
ejpam-5581	139	21	(	(	PUNCT
ejpam-5581	139	22	14	14	X
ejpam-5581	139	23	)	)	PUNCT
ejpam-5581	139	24	a.	a.	NOUN
ejpam-5581	139	25	alaidrous	alaidrous	PROPN
ejpam-5581	139	26	,	,	PUNCT
ejpam-5581	139	27	h.	h.	PROPN
ejpam-5581	139	28	ashraf	ashraf	PROPN
ejpam-5581	139	29	/	/	SYM
ejpam-5581	139	30	eur	eur	PROPN
ejpam-5581	139	31	.	.	PUNCT
ejpam-5581	140	1	j.	j.	PROPN
ejpam-5581	140	2	pure	pure	PROPN
ejpam-5581	140	3	appl	appl	PROPN
ejpam-5581	140	4	.	.	PROPN
ejpam-5581	140	5	math	math	PROPN
ejpam-5581	140	6	,	,	PUNCT
ejpam-5581	140	7	18	18	NUM
ejpam-5581	140	8	(	(	PUNCT
ejpam-5581	140	9	1	1	NUM
ejpam-5581	140	10	)	)	PUNCT
ejpam-5581	140	11	(	(	PUNCT
ejpam-5581	140	12	2025	2025	NUM
ejpam-5581	140	13	)	)	PUNCT
ejpam-5581	140	14	,	,	PUNCT
ejpam-5581	140	15	5581	5581	NUM
ejpam-5581	140	16	8	8	NUM
ejpam-5581	140	17	of	of	ADP
ejpam-5581	140	18	30	30	NUM
ejpam-5581	140	19	where	where	SCONJ
ejpam-5581	140	20	the	the	DET
ejpam-5581	140	21	implicit	implicit	ADJ
ejpam-5581	140	22	nonlinear	nonlinear	ADJ
ejpam-5581	140	23	viscoelastic	viscoelastic	ADJ
ejpam-5581	140	24	behavior	behavior	NOUN
ejpam-5581	140	25	and	and	CCONJ
ejpam-5581	140	26	spurt	spurt	NOUN
ejpam-5581	140	27	phenomena	phenomenon	NOUN
ejpam-5581	140	28	of	of	ADP
ejpam-5581	140	29	the	the	DET
ejpam-5581	140	30	fluid	fluid	NOUN
ejpam-5581	140	31	is	be	AUX
ejpam-5581	140	32	taken	take	VERB
ejpam-5581	140	33	into	into	ADP
ejpam-5581	140	34	consideration	consideration	NOUN
ejpam-5581	140	35	by	by	ADP
ejpam-5581	140	36	σ̂(k	σ̂(k	NOUN
ejpam-5581	140	37	)	)	PUNCT
ejpam-5581	140	38	,	,	PUNCT
ejpam-5581	140	39	the	the	DET
ejpam-5581	140	40	viscosities	viscosity	NOUN
ejpam-5581	140	41	are	be	AUX
ejpam-5581	140	42	µ̂k	µ̂k	NOUN
ejpam-5581	140	43	and	and	CCONJ
ejpam-5581	140	44	η̂k	η̂k	PROPN
ejpam-5581	140	45	,	,	PUNCT
ejpam-5581	140	46	the	the	DET
ejpam-5581	140	47	relaxation	relaxation	NOUN
ejpam-5581	140	48	time	time	NOUN
ejpam-5581	140	49	is	be	AUX
ejpam-5581	140	50	λ	λ	PROPN
ejpam-5581	140	51	(	(	PUNCT
ejpam-5581	140	52	k	k	NOUN
ejpam-5581	140	53	)	)	PUNCT
ejpam-5581	140	54	1	1	NUM
ejpam-5581	140	55	,	,	PUNCT
ejpam-5581	140	56	and	and	CCONJ
ejpam-5581	140	57	the	the	DET
ejpam-5581	140	58	slip	slip	NOUN
ejpam-5581	140	59	parameter	parameter	NOUN
ejpam-5581	140	60	is	be	AUX
ejpam-5581	140	61	ek	ek	PROPN
ejpam-5581	140	62	.	.	PUNCT
ejpam-5581	141	1	the	the	DET
ejpam-5581	141	2	symmetric	symmetric	ADJ
ejpam-5581	141	3	and	and	CCONJ
ejpam-5581	141	4	skew	skew	ADJ
ejpam-5581	141	5	-	-	PUNCT
ejpam-5581	141	6	symmetric	symmetric	ADJ
ejpam-5581	141	7	components	component	NOUN
ejpam-5581	141	8	of	of	ADP
ejpam-5581	141	9	the	the	DET
ejpam-5581	141	10	velocity	velocity	NOUN
ejpam-5581	141	11	gradient	gradient	NOUN
ejpam-5581	141	12	denoted	denote	VERB
ejpam-5581	141	13	by	by	ADP
ejpam-5581	141	14	d̂(k	d̂(k	NOUN
ejpam-5581	141	15	)	)	PUNCT
ejpam-5581	141	16	and	and	CCONJ
ejpam-5581	141	17	ŵ(k	ŵ(k	NOUN
ejpam-5581	141	18	)	)	PUNCT
ejpam-5581	141	19	,	,	PUNCT
ejpam-5581	141	20	respectively	respectively	ADV
ejpam-5581	141	21	are	be	AUX
ejpam-5581	141	22	defined	define	VERB
ejpam-5581	141	23	as	as	ADP
ejpam-5581	141	24	d̂(k	d̂(k	NOUN
ejpam-5581	141	25	)	)	PUNCT
ejpam-5581	141	26	=	=	SYM
ejpam-5581	141	27	1	1	NUM
ejpam-5581	141	28	2	2	NUM
ejpam-5581	141	29	[	[	PUNCT
ejpam-5581	141	30	gradv̂(k	gradv̂(k	PROPN
ejpam-5581	141	31	)	)	PUNCT
ejpam-5581	141	32	+	+	CCONJ
ejpam-5581	141	33	(	(	PUNCT
ejpam-5581	141	34	gradv̂(k	gradv̂(k	PROPN
ejpam-5581	141	35	)	)	PUNCT
ejpam-5581	141	36	)	)	PUNCT
ejpam-5581	141	37	t	t	NOUN
ejpam-5581	141	38	]	]	PUNCT
ejpam-5581	141	39	,	,	PUNCT
ejpam-5581	141	40	ŵ(k	ŵ(k	X
ejpam-5581	141	41	)	)	PUNCT
ejpam-5581	141	42	=	=	SYM
ejpam-5581	141	43	1	1	NUM
ejpam-5581	141	44	2	2	NUM
ejpam-5581	141	45	[	[	PUNCT
ejpam-5581	141	46	gradv̂(k	gradv̂(k	PROPN
ejpam-5581	141	47	)	)	PUNCT
ejpam-5581	141	48	−	−	PROPN
ejpam-5581	141	49	(	(	PUNCT
ejpam-5581	141	50	gradv̂(k	gradv̂(k	PROPN
ejpam-5581	141	51	)	)	PUNCT
ejpam-5581	141	52	)	)	PUNCT
ejpam-5581	141	53	tr	tr	VERB
ejpam-5581	141	54	]	]	PUNCT
ejpam-5581	141	55	,	,	PUNCT
ejpam-5581	141	56	(	(	PUNCT
ejpam-5581	141	57	15	15	NUM
ejpam-5581	141	58	)	)	PUNCT
ejpam-5581	141	59	where	where	SCONJ
ejpam-5581	141	60	we	we	PRON
ejpam-5581	141	61	represent	represent	VERB
ejpam-5581	141	62	the	the	DET
ejpam-5581	141	63	gradient	gradient	ADJ
ejpam-5581	141	64	operator	operator	NOUN
ejpam-5581	141	65	with	with	ADP
ejpam-5581	141	66	grad	grad	NOUN
ejpam-5581	141	67	and	and	CCONJ
ejpam-5581	141	68	transpose	transpose	NOUN
ejpam-5581	141	69	with	with	ADP
ejpam-5581	141	70	tr	tr	VERB
ejpam-5581	141	71	.	.	NOUN
ejpam-5581	141	72	remark	remark	NOUN
ejpam-5581	141	73	:	:	PUNCT
ejpam-5581	141	74	in	in	ADP
ejpam-5581	141	75	eq	eq	ADP
ejpam-5581	141	76	.	.	PUNCT
ejpam-5581	142	1	(	(	PUNCT
ejpam-5581	142	2	14	14	NUM
ejpam-5581	142	3	)	)	PUNCT
ejpam-5581	142	4	,	,	PUNCT
ejpam-5581	142	5	setting	set	VERB
ejpam-5581	142	6	ek	ek	NOUN
ejpam-5581	142	7	=	=	SYM
ejpam-5581	142	8	1	1	NUM
ejpam-5581	142	9	and	and	CCONJ
ejpam-5581	142	10	η̂k	η̂k	ADV
ejpam-5581	142	11	=	=	SYM
ejpam-5581	142	12	0	0	NUM
ejpam-5581	142	13	recovers	recover	VERB
ejpam-5581	142	14	the	the	DET
ejpam-5581	142	15	extra	extra	ADJ
ejpam-5581	142	16	stress	stress	NOUN
ejpam-5581	142	17	tensor	tensor	NOUN
ejpam-5581	142	18	for	for	ADP
ejpam-5581	142	19	maxwell	maxwell	PROPN
ejpam-5581	142	20	fluid	fluid	NOUN
ejpam-5581	142	21	whereas	whereas	SCONJ
ejpam-5581	142	22	setting	set	VERB
ejpam-5581	142	23	η̂k	η̂k	ADV
ejpam-5581	142	24	=	=	SYM
ejpam-5581	142	25	λ	λ	X
ejpam-5581	142	26	(	(	PUNCT
ejpam-5581	142	27	k	k	NOUN
ejpam-5581	142	28	)	)	PUNCT
ejpam-5581	142	29	1	1	NUM
ejpam-5581	142	30	=	=	SYM
ejpam-5581	142	31	0	0	NUM
ejpam-5581	142	32	yields	yield	NOUN
ejpam-5581	142	33	the	the	DET
ejpam-5581	142	34	extra	extra	ADJ
ejpam-5581	142	35	stress	stress	NOUN
ejpam-5581	142	36	tensor	tensor	NOUN
ejpam-5581	142	37	for	for	ADP
ejpam-5581	142	38	newtonian	newtonian	ADJ
ejpam-5581	142	39	fluid	fluid	NOUN
ejpam-5581	142	40	.	.	PUNCT
ejpam-5581	143	1	•	•	NUM
ejpam-5581	143	2	conservation	conservation	NOUN
ejpam-5581	143	3	of	of	ADP
ejpam-5581	143	4	linear	linear	PROPN
ejpam-5581	143	5	momentum	momentum	NOUN
ejpam-5581	143	6	:	:	PUNCT
ejpam-5581	143	7	the	the	DET
ejpam-5581	143	8	relationship	relationship	NOUN
ejpam-5581	143	9	between	between	ADP
ejpam-5581	143	10	the	the	DET
ejpam-5581	143	11	forces	force	NOUN
ejpam-5581	143	12	acting	act	VERB
ejpam-5581	143	13	on	on	ADP
ejpam-5581	143	14	the	the	DET
ejpam-5581	143	15	fluid	fluid	NOUN
ejpam-5581	143	16	and	and	CCONJ
ejpam-5581	143	17	its	its	PRON
ejpam-5581	143	18	momentum	momentum	NOUN
ejpam-5581	143	19	change	change	NOUN
ejpam-5581	143	20	rate	rate	NOUN
ejpam-5581	143	21	allows	allow	VERB
ejpam-5581	143	22	the	the	DET
ejpam-5581	143	23	momentum	momentum	NOUN
ejpam-5581	143	24	balance	balance	NOUN
ejpam-5581	143	25	to	to	PART
ejpam-5581	143	26	describe	describe	VERB
ejpam-5581	143	27	the	the	DET
ejpam-5581	143	28	behavior	behavior	NOUN
ejpam-5581	143	29	of	of	ADP
ejpam-5581	143	30	the	the	DET
ejpam-5581	143	31	incompressible	incompressible	ADJ
ejpam-5581	143	32	johnson	johnson	PROPN
ejpam-5581	143	33	-	-	PUNCT
ejpam-5581	143	34	segalman	segalman	NOUN
ejpam-5581	143	35	fluid	fluid	NOUN
ejpam-5581	143	36	.	.	PUNCT
ejpam-5581	144	1	we	we	PRON
ejpam-5581	144	2	define	define	VERB
ejpam-5581	144	3	the	the	DET
ejpam-5581	144	4	balance	balance	NOUN
ejpam-5581	144	5	of	of	ADP
ejpam-5581	144	6	momentum	momentum	NOUN
ejpam-5581	144	7	as	as	SCONJ
ejpam-5581	144	8	follows	follow	VERB
ejpam-5581	144	9	:	:	PUNCT
ejpam-5581	144	10	ρ̂(k)dtv̂	ρ̂(k)dtv̂	NOUN
ejpam-5581	144	11	(	(	PUNCT
ejpam-5581	144	12	k	k	NOUN
ejpam-5581	144	13	)	)	PUNCT
ejpam-5581	144	14	=	=	SYM
ejpam-5581	144	15	∇	∇	X
ejpam-5581	144	16	·	·	PUNCT
ejpam-5581	144	17	ŝ(k	ŝ(k	ADJ
ejpam-5581	144	18	)	)	PUNCT
ejpam-5581	144	19	−∇p̂	−∇p̂	PROPN
ejpam-5581	145	1	+	+	CCONJ
ejpam-5581	145	2	ρ̂(k)f̂	ρ̂(k)f̂	PROPN
ejpam-5581	145	3	(	(	PUNCT
ejpam-5581	145	4	k	k	NOUN
ejpam-5581	145	5	)	)	PUNCT
ejpam-5581	145	6	,	,	PUNCT
ejpam-5581	145	7	(	(	PUNCT
ejpam-5581	145	8	16	16	NUM
ejpam-5581	145	9	)	)	PUNCT
ejpam-5581	145	10	where	where	SCONJ
ejpam-5581	145	11	f̂	f̂	X
ejpam-5581	145	12	(	(	PUNCT
ejpam-5581	145	13	k	k	NOUN
ejpam-5581	145	14	)	)	PUNCT
ejpam-5581	145	15	represents	represent	VERB
ejpam-5581	145	16	body	body	NOUN
ejpam-5581	145	17	force	force	NOUN
ejpam-5581	145	18	per	per	ADP
ejpam-5581	145	19	unit	unit	NOUN
ejpam-5581	145	20	mass	mass	PROPN
ejpam-5581	145	21	,	,	PUNCT
ejpam-5581	145	22	p̂	p̂	NOUN
ejpam-5581	145	23	represents	represent	VERB
ejpam-5581	145	24	pressure	pressure	NOUN
ejpam-5581	145	25	,	,	PUNCT
ejpam-5581	145	26	d	d	PRON
ejpam-5581	145	27	dt	dt	NOUN
ejpam-5581	145	28	represents	represent	VERB
ejpam-5581	145	29	material	material	ADJ
ejpam-5581	145	30	time	time	NOUN
ejpam-5581	145	31	derivative	derivative	ADJ
ejpam-5581	145	32	,	,	PUNCT
ejpam-5581	145	33	and	and	CCONJ
ejpam-5581	145	34	ρ̂(k	ρ̂(k	NOUN
ejpam-5581	145	35	)	)	PUNCT
ejpam-5581	145	36	represents	represent	VERB
ejpam-5581	145	37	constant	constant	ADJ
ejpam-5581	145	38	fluid	fluid	ADJ
ejpam-5581	145	39	densities	density	NOUN
ejpam-5581	145	40	.	.	PUNCT
ejpam-5581	146	1	•	•	NUM
ejpam-5581	146	2	energy	energy	NOUN
ejpam-5581	146	3	equation	equation	NOUN
ejpam-5581	146	4	:	:	PUNCT
ejpam-5581	146	5	the	the	DET
ejpam-5581	146	6	transfer	transfer	NOUN
ejpam-5581	146	7	of	of	ADP
ejpam-5581	146	8	heat	heat	NOUN
ejpam-5581	146	9	within	within	ADP
ejpam-5581	146	10	the	the	DET
ejpam-5581	146	11	human	human	ADJ
ejpam-5581	146	12	airways	airways	PROPN
ejpam-5581	146	13	is	be	AUX
ejpam-5581	146	14	governed	govern	VERB
ejpam-5581	146	15	by	by	ADP
ejpam-5581	146	16	the	the	DET
ejpam-5581	146	17	energy	energy	NOUN
ejpam-5581	146	18	equation	equation	NOUN
ejpam-5581	146	19	,	,	PUNCT
ejpam-5581	146	20	which	which	PRON
ejpam-5581	146	21	defines	define	VERB
ejpam-5581	146	22	how	how	SCONJ
ejpam-5581	146	23	heat	heat	NOUN
ejpam-5581	146	24	is	be	AUX
ejpam-5581	146	25	transferred	transfer	VERB
ejpam-5581	146	26	within	within	ADP
ejpam-5581	146	27	the	the	DET
ejpam-5581	146	28	fluid	fluid	NOUN
ejpam-5581	146	29	.	.	PUNCT
ejpam-5581	147	1	the	the	DET
ejpam-5581	147	2	energy	energy	NOUN
ejpam-5581	147	3	equation	equation	NOUN
ejpam-5581	147	4	is	be	AUX
ejpam-5581	147	5	defined	define	VERB
ejpam-5581	147	6	as	as	ADP
ejpam-5581	147	7	ρ̂(k)ĉ	ρ̂(k)ĉ	NOUN
ejpam-5581	147	8	(	(	PUNCT
ejpam-5581	147	9	k	k	X
ejpam-5581	147	10	)	)	PUNCT
ejpam-5581	147	11	f	f	PROPN
ejpam-5581	148	1	dtt̂	dtt̂	PROPN
ejpam-5581	148	2	(	(	PUNCT
ejpam-5581	148	3	k	k	NOUN
ejpam-5581	148	4	)	)	PUNCT
ejpam-5581	148	5	=	=	SYM
ejpam-5581	148	6	χ(k)∇2t̂	χ(k)∇2t̂	X
ejpam-5581	148	7	(	(	PUNCT
ejpam-5581	148	8	k	k	NOUN
ejpam-5581	148	9	)	)	PUNCT
ejpam-5581	148	10	+	+	NUM
ejpam-5581	148	11	tr(ŝ(k).∇v̂(k	tr(ŝ(k).∇v̂(k	NOUN
ejpam-5581	148	12	)	)	PUNCT
ejpam-5581	148	13	)	)	PUNCT
ejpam-5581	148	14	,	,	PUNCT
ejpam-5581	148	15	(	(	PUNCT
ejpam-5581	148	16	17	17	NUM
ejpam-5581	148	17	)	)	PUNCT
ejpam-5581	148	18	where	where	SCONJ
ejpam-5581	148	19	the	the	DET
ejpam-5581	148	20	thermal	thermal	ADJ
ejpam-5581	148	21	conductivity	conductivity	NOUN
ejpam-5581	148	22	as	as	ADP
ejpam-5581	148	23	χ(k	χ(k	NOUN
ejpam-5581	148	24	)	)	PUNCT
ejpam-5581	148	25	,	,	PUNCT
ejpam-5581	148	26	the	the	DET
ejpam-5581	148	27	specific	specific	ADJ
ejpam-5581	148	28	heat	heat	NOUN
ejpam-5581	148	29	constant	constant	ADJ
ejpam-5581	148	30	as	as	ADP
ejpam-5581	148	31	ĉ	ĉ	NOUN
ejpam-5581	148	32	(	(	PUNCT
ejpam-5581	148	33	k	k	X
ejpam-5581	148	34	)	)	PUNCT
ejpam-5581	148	35	f	f	PROPN
ejpam-5581	148	36	,	,	PUNCT
ejpam-5581	148	37	the	the	DET
ejpam-5581	148	38	constant	constant	ADJ
ejpam-5581	148	39	ratio	ratio	NOUN
ejpam-5581	148	40	due	due	ADP
ejpam-5581	148	41	to	to	ADP
ejpam-5581	148	42	thermal	thermal	ADJ
ejpam-5581	148	43	diffusion	diffusion	NOUN
ejpam-5581	148	44	as	as	ADP
ejpam-5581	148	45	dkt	dkt	PROPN
ejpam-5581	148	46	,	,	PUNCT
ejpam-5581	148	47	and	and	CCONJ
ejpam-5581	148	48	the	the	DET
ejpam-5581	148	49	coefficient	coefficient	NOUN
ejpam-5581	148	50	of	of	ADP
ejpam-5581	148	51	mass	mass	ADJ
ejpam-5581	148	52	diffusivity	diffusivity	NOUN
ejpam-5581	148	53	as	as	ADP
ejpam-5581	148	54	d̂	d̂	X
ejpam-5581	148	55	(	(	PUNCT
ejpam-5581	148	56	k	k	NOUN
ejpam-5581	148	57	)	)	PUNCT
ejpam-5581	148	58	b	b	NOUN
ejpam-5581	148	59	.	.	PUNCT
ejpam-5581	148	60	•	•	ADJ
ejpam-5581	148	61	concentration	concentration	NOUN
ejpam-5581	148	62	equation	equation	NOUN
ejpam-5581	148	63	:	:	PUNCT
ejpam-5581	148	64	the	the	DET
ejpam-5581	148	65	concentration	concentration	NOUN
ejpam-5581	148	66	equation	equation	NOUN
ejpam-5581	148	67	accurately	accurately	ADV
ejpam-5581	148	68	describes	describe	VERB
ejpam-5581	148	69	the	the	DET
ejpam-5581	148	70	distribution	distribution	NOUN
ejpam-5581	148	71	and	and	CCONJ
ejpam-5581	148	72	variation	variation	NOUN
ejpam-5581	148	73	of	of	ADP
ejpam-5581	148	74	substances	substance	NOUN
ejpam-5581	148	75	within	within	ADP
ejpam-5581	148	76	respiratory	respiratory	ADJ
ejpam-5581	148	77	mucus	mucus	NOUN
ejpam-5581	148	78	.	.	PUNCT
ejpam-5581	149	1	we	we	PRON
ejpam-5581	149	2	define	define	VERB
ejpam-5581	149	3	the	the	DET
ejpam-5581	149	4	concentration	concentration	NOUN
ejpam-5581	149	5	equation	equation	NOUN
ejpam-5581	149	6	in	in	ADP
ejpam-5581	149	7	the	the	DET
ejpam-5581	149	8	following	following	ADJ
ejpam-5581	149	9	way	way	NOUN
ejpam-5581	149	10	dtĉ	dtĉ	PROPN
ejpam-5581	149	11	(	(	PUNCT
ejpam-5581	149	12	k	k	NOUN
ejpam-5581	149	13	)	)	PUNCT
ejpam-5581	149	14	=	=	SYM
ejpam-5581	150	1	d̂	d̂	PROPN
ejpam-5581	150	2	(	(	PUNCT
ejpam-5581	150	3	k	k	NOUN
ejpam-5581	150	4	)	)	PUNCT
ejpam-5581	150	5	b	b	NOUN
ejpam-5581	150	6	∇2ĉ(k	∇2ĉ(k	PROPN
ejpam-5581	150	7	)	)	PUNCT
ejpam-5581	151	1	+	+	CCONJ
ejpam-5581	151	2	dkt	dkt	X
ejpam-5581	151	3	t̂0	t̂0	NOUN
ejpam-5581	151	4	∇2t̂	∇2t̂	X
ejpam-5581	151	5	(	(	PUNCT
ejpam-5581	151	6	k	k	NOUN
ejpam-5581	151	7	)	)	PUNCT
ejpam-5581	151	8	.	.	PUNCT
ejpam-5581	152	1	(	(	PUNCT
ejpam-5581	152	2	18	18	NUM
ejpam-5581	152	3	)	)	PUNCT
ejpam-5581	152	4	here	here	ADV
ejpam-5581	152	5	,	,	PUNCT
ejpam-5581	152	6	ĉ	ĉ	X
ejpam-5581	152	7	(	(	PUNCT
ejpam-5581	152	8	k	k	X
ejpam-5581	152	9	)	)	PUNCT
ejpam-5581	152	10	f	f	PROPN
ejpam-5581	152	11	denotes	denote	VERB
ejpam-5581	152	12	the	the	DET
ejpam-5581	152	13	specific	specific	ADJ
ejpam-5581	152	14	heat	heat	NOUN
ejpam-5581	152	15	constant	constant	ADJ
ejpam-5581	152	16	,	,	PUNCT
ejpam-5581	152	17	dkt	dkt	PROPN
ejpam-5581	152	18	represents	represent	VERB
ejpam-5581	152	19	the	the	DET
ejpam-5581	152	20	constant	constant	ADJ
ejpam-5581	152	21	ratio	ratio	NOUN
ejpam-5581	152	22	due	due	ADP
ejpam-5581	152	23	to	to	ADP
ejpam-5581	152	24	thermal	thermal	ADJ
ejpam-5581	152	25	diffusion	diffusion	NOUN
ejpam-5581	152	26	,	,	PUNCT
ejpam-5581	152	27	and	and	CCONJ
ejpam-5581	152	28	d̂	d̂	PROPN
ejpam-5581	152	29	(	(	PUNCT
ejpam-5581	152	30	k	k	X
ejpam-5581	152	31	)	)	PUNCT
ejpam-5581	152	32	b	b	PROPN
ejpam-5581	152	33	is	be	AUX
ejpam-5581	152	34	used	use	VERB
ejpam-5581	152	35	to	to	PART
ejpam-5581	152	36	denote	denote	VERB
ejpam-5581	152	37	the	the	DET
ejpam-5581	152	38	coefficient	coefficient	NOUN
ejpam-5581	152	39	of	of	ADP
ejpam-5581	152	40	mass	mass	ADJ
ejpam-5581	152	41	diffusivity	diffusivity	NOUN
ejpam-5581	152	42	.	.	PUNCT
ejpam-5581	153	1	2.3	2.3	NUM
ejpam-5581	153	2	.	.	PUNCT
ejpam-5581	153	3	dimensionless	dimensionless	NOUN
ejpam-5581	153	4	coordinate	coordinate	NOUN
ejpam-5581	153	5	transformations	transformation	NOUN
ejpam-5581	153	6	we	we	PRON
ejpam-5581	153	7	introduce	introduce	VERB
ejpam-5581	153	8	a	a	DET
ejpam-5581	153	9	wave	wave	NOUN
ejpam-5581	153	10	reference	reference	NOUN
ejpam-5581	153	11	frame	frame	NOUN
ejpam-5581	153	12	(	(	PUNCT
ejpam-5581	153	13	x	x	NOUN
ejpam-5581	153	14	,	,	PUNCT
ejpam-5581	153	15	y	y	NOUN
ejpam-5581	153	16	)	)	PUNCT
ejpam-5581	153	17	to	to	PART
ejpam-5581	153	18	facilitate	facilitate	VERB
ejpam-5581	153	19	the	the	DET
ejpam-5581	153	20	analysis	analysis	NOUN
ejpam-5581	153	21	of	of	ADP
ejpam-5581	153	22	mucociliary	mucociliary	ADJ
ejpam-5581	153	23	flow	flow	NOUN
ejpam-5581	153	24	.	.	PUNCT
ejpam-5581	154	1	since	since	SCONJ
ejpam-5581	154	2	this	this	DET
ejpam-5581	154	3	frame	frame	NOUN
ejpam-5581	154	4	propagates	propagate	VERB
ejpam-5581	154	5	at	at	ADP
ejpam-5581	154	6	wave	wave	NOUN
ejpam-5581	154	7	speed	speed	NOUN
ejpam-5581	154	8	c	c	NOUN
ejpam-5581	154	9	,	,	PUNCT
ejpam-5581	154	10	therefore	therefore	ADV
ejpam-5581	154	11	,	,	PUNCT
ejpam-5581	154	12	we	we	PRON
ejpam-5581	154	13	can	can	AUX
ejpam-5581	154	14	investigate	investigate	VERB
ejpam-5581	154	15	steady	steady	ADJ
ejpam-5581	154	16	behavior	behavior	NOUN
ejpam-5581	154	17	a.	a.	NOUN
ejpam-5581	154	18	alaidrous	alaidrous	PROPN
ejpam-5581	154	19	,	,	PUNCT
ejpam-5581	154	20	h.	h.	PROPN
ejpam-5581	154	21	ashraf	ashraf	PROPN
ejpam-5581	154	22	/	/	SYM
ejpam-5581	154	23	eur	eur	PROPN
ejpam-5581	154	24	.	.	PUNCT
ejpam-5581	155	1	j.	j.	PROPN
ejpam-5581	155	2	pure	pure	PROPN
ejpam-5581	155	3	appl	appl	PROPN
ejpam-5581	155	4	.	.	PROPN
ejpam-5581	155	5	math	math	PROPN
ejpam-5581	155	6	,	,	PUNCT
ejpam-5581	155	7	18	18	NUM
ejpam-5581	155	8	(	(	PUNCT
ejpam-5581	155	9	1	1	NUM
ejpam-5581	155	10	)	)	PUNCT
ejpam-5581	155	11	(	(	PUNCT
ejpam-5581	155	12	2025	2025	NUM
ejpam-5581	155	13	)	)	PUNCT
ejpam-5581	155	14	,	,	PUNCT
ejpam-5581	155	15	5581	5581	NUM
ejpam-5581	155	16	9	9	NUM
ejpam-5581	155	17	of	of	ADP
ejpam-5581	155	18	30	30	NUM
ejpam-5581	155	19	of	of	ADP
ejpam-5581	155	20	the	the	DET
ejpam-5581	155	21	mucociliary	mucociliary	NOUN
ejpam-5581	155	22	flow	flow	NOUN
ejpam-5581	155	23	.	.	PUNCT
ejpam-5581	156	1	through	through	ADP
ejpam-5581	156	2	the	the	DET
ejpam-5581	156	3	dimensionless	dimensionless	NOUN
ejpam-5581	156	4	transformations	transformation	NOUN
ejpam-5581	156	5	the	the	DET
ejpam-5581	156	6	coordinates	coordinate	NOUN
ejpam-5581	156	7	in	in	ADP
ejpam-5581	156	8	the	the	DET
ejpam-5581	156	9	wave	wave	NOUN
ejpam-5581	156	10	reference	reference	NOUN
ejpam-5581	156	11	frame	frame	NOUN
ejpam-5581	156	12	(	(	PUNCT
ejpam-5581	156	13	x	x	NOUN
ejpam-5581	156	14	,	,	PUNCT
ejpam-5581	156	15	y	y	PROPN
ejpam-5581	156	16	)	)	PUNCT
ejpam-5581	156	17	and	and	CCONJ
ejpam-5581	156	18	the	the	DET
ejpam-5581	156	19	fixed	fix	VERB
ejpam-5581	156	20	frame	frame	NOUN
ejpam-5581	156	21	of	of	ADP
ejpam-5581	156	22	reference	reference	NOUN
ejpam-5581	156	23	(	(	PUNCT
ejpam-5581	156	24	x	x	X
ejpam-5581	156	25	,	,	PUNCT
ejpam-5581	156	26	y	y	PROPN
ejpam-5581	156	27	,	,	PUNCT
ejpam-5581	156	28	t	t	PROPN
ejpam-5581	156	29	)	)	PUNCT
ejpam-5581	156	30	are	be	AUX
ejpam-5581	156	31	now	now	ADV
ejpam-5581	156	32	related	relate	VERB
ejpam-5581	156	33	to	to	PART
ejpam-5581	156	34	transform	transform	VERB
ejpam-5581	156	35	the	the	DET
ejpam-5581	156	36	velocity	velocity	NOUN
ejpam-5581	156	37	components	component	NOUN
ejpam-5581	156	38	in	in	ADP
ejpam-5581	156	39	the	the	DET
ejpam-5581	156	40	fixed	fix	VERB
ejpam-5581	156	41	frame	frame	NOUN
ejpam-5581	156	42	of	of	ADP
ejpam-5581	156	43	reference	reference	NOUN
ejpam-5581	156	44	(	(	PUNCT
ejpam-5581	156	45	û	û	X
ejpam-5581	156	46	(	(	PUNCT
ejpam-5581	156	47	k	k	NOUN
ejpam-5581	156	48	)	)	PUNCT
ejpam-5581	156	49	,	,	PUNCT
ejpam-5581	156	50	v̂	v̂	PRON
ejpam-5581	156	51	(	(	PUNCT
ejpam-5581	156	52	k	k	NOUN
ejpam-5581	156	53	)	)	PUNCT
ejpam-5581	156	54	)	)	PUNCT
ejpam-5581	156	55	to	to	ADP
ejpam-5581	156	56	the	the	DET
ejpam-5581	156	57	wave	wave	NOUN
ejpam-5581	156	58	reference	reference	NOUN
ejpam-5581	156	59	frame	frame	NOUN
ejpam-5581	156	60	(	(	PUNCT
ejpam-5581	156	61	u(k	u(k	PROPN
ejpam-5581	156	62	)	)	PUNCT
ejpam-5581	156	63	,	,	PUNCT
ejpam-5581	156	64	v(k	v(k	PROPN
ejpam-5581	156	65	)	)	PUNCT
ejpam-5581	156	66	)	)	PUNCT
ejpam-5581	157	1	,	,	PUNCT
ejpam-5581	157	2	pressure	pressure	NOUN
ejpam-5581	157	3	in	in	ADP
ejpam-5581	157	4	the	the	DET
ejpam-5581	157	5	fixed	fix	VERB
ejpam-5581	157	6	frame	frame	NOUN
ejpam-5581	157	7	of	of	ADP
ejpam-5581	157	8	reference	reference	NOUN
ejpam-5581	157	9	(	(	PUNCT
ejpam-5581	157	10	p̂	p̂	X
ejpam-5581	157	11	)	)	PUNCT
ejpam-5581	157	12	to	to	ADP
ejpam-5581	157	13	the	the	DET
ejpam-5581	157	14	wave	wave	NOUN
ejpam-5581	157	15	reference	reference	NOUN
ejpam-5581	157	16	frame	frame	NOUN
ejpam-5581	157	17	(	(	PUNCT
ejpam-5581	157	18	p	p	NOUN
ejpam-5581	157	19	)	)	PUNCT
ejpam-5581	157	20	,	,	PUNCT
ejpam-5581	157	21	and	and	CCONJ
ejpam-5581	157	22	extra	extra	ADJ
ejpam-5581	157	23	stress	stress	NOUN
ejpam-5581	157	24	tensor	tensor	NOUN
ejpam-5581	157	25	(	(	PUNCT
ejpam-5581	157	26	ŝ(k	ŝ(k	ADJ
ejpam-5581	157	27	)	)	PUNCT
ejpam-5581	157	28	)	)	PUNCT
ejpam-5581	157	29	from	from	ADP
ejpam-5581	157	30	fixed	fix	VERB
ejpam-5581	157	31	frame	frame	NOUN
ejpam-5581	157	32	of	of	ADP
ejpam-5581	157	33	reference	reference	NOUN
ejpam-5581	157	34	to	to	ADP
ejpam-5581	157	35	the	the	DET
ejpam-5581	157	36	wave	wave	NOUN
ejpam-5581	157	37	reference	reference	NOUN
ejpam-5581	157	38	frame	frame	NOUN
ejpam-5581	157	39	(	(	PUNCT
ejpam-5581	157	40	s(k	s(k	ADV
ejpam-5581	157	41	)	)	PUNCT
ejpam-5581	157	42	)	)	PUNCT
ejpam-5581	157	43	.	.	PUNCT
ejpam-5581	158	1	following	follow	VERB
ejpam-5581	158	2	dimensionless	dimensionless	NOUN
ejpam-5581	158	3	transformations	transformation	NOUN
ejpam-5581	158	4	we	we	PRON
ejpam-5581	158	5	scaled	scale	VERB
ejpam-5581	158	6	for	for	ADP
ejpam-5581	158	7	this	this	DET
ejpam-5581	158	8	purpose	purpose	NOUN
ejpam-5581	158	9	:	:	PUNCT
ejpam-5581	158	10	x	x	SYM
ejpam-5581	158	11	=	=	PUNCT
ejpam-5581	158	12	x	x	PUNCT
ejpam-5581	159	1	−	−	NOUN
ejpam-5581	159	2	ct	ct	PROPN
ejpam-5581	159	3	λ	λ	PROPN
ejpam-5581	159	4	,	,	PUNCT
ejpam-5581	159	5	y	y	PROPN
ejpam-5581	159	6	=	=	PUNCT
ejpam-5581	159	7	y	y	PROPN
ejpam-5581	159	8	a	a	PRON
ejpam-5581	159	9	,	,	PUNCT
ejpam-5581	159	10	u(k	u(k	PROPN
ejpam-5581	159	11	)	)	PUNCT
ejpam-5581	159	12	=	=	SYM
ejpam-5581	160	1	û	û	X
ejpam-5581	160	2	(	(	PUNCT
ejpam-5581	160	3	k	k	NOUN
ejpam-5581	160	4	)	)	PUNCT
ejpam-5581	160	5	−	−	PROPN
ejpam-5581	161	1	c	c	NOUN
ejpam-5581	161	2	c	c	NOUN
ejpam-5581	161	3	,	,	PUNCT
ejpam-5581	161	4	v(k	v(k	PROPN
ejpam-5581	161	5	)	)	PUNCT
ejpam-5581	161	6	=	=	PUNCT
ejpam-5581	161	7	v̂	v̂	X
ejpam-5581	161	8	(	(	PUNCT
ejpam-5581	161	9	k)λ	k)λ	X
ejpam-5581	161	10	ca	ca	NOUN
ejpam-5581	161	11	,	,	PUNCT
ejpam-5581	161	12	ρ(k	ρ(k	PROPN
ejpam-5581	161	13	)	)	PUNCT
ejpam-5581	161	14	=	=	SYM
ejpam-5581	162	1	ρ̂(k	ρ̂(k	NOUN
ejpam-5581	162	2	)	)	PUNCT
ejpam-5581	162	3	ρ̂(a	ρ̂(a	NOUN
ejpam-5581	162	4	)	)	PUNCT
ejpam-5581	162	5	,	,	PUNCT
ejpam-5581	162	6	δ	δ	X
ejpam-5581	162	7	=	=	NOUN
ejpam-5581	162	8	a1	a1	PROPN
ejpam-5581	162	9	a	a	DET
ejpam-5581	162	10	,	,	PUNCT
ejpam-5581	162	11	h1	h1	PROPN
ejpam-5581	162	12	=	=	PRON
ejpam-5581	162	13	ĥ1	ĥ1	PROPN
ejpam-5581	162	14	a	a	PRON
ejpam-5581	162	15	,	,	PUNCT
ejpam-5581	162	16	h	h	NOUN
ejpam-5581	162	17	=	=	PRON
ejpam-5581	162	18	ĥ	ĥ	X
ejpam-5581	162	19	a	a	PRON
ejpam-5581	162	20	,	,	PUNCT
ejpam-5581	162	21	p	p	NOUN
ejpam-5581	162	22	=	=	SYM
ejpam-5581	162	23	p̂	p̂	X
ejpam-5581	162	24	a2	a2	PROPN
ejpam-5581	162	25	(	(	PUNCT
ejpam-5581	162	26	µ̂a	µ̂a	X
ejpam-5581	162	27	+	+	CCONJ
ejpam-5581	162	28	η̂a	η̂a	PROPN
ejpam-5581	162	29	)	)	PUNCT
ejpam-5581	162	30	cλ	cλ	INTJ
ejpam-5581	162	31	,	,	PUNCT
ejpam-5581	162	32	s(k	s(k	ADV
ejpam-5581	162	33	)	)	PUNCT
ejpam-5581	162	34	=	=	SYM
ejpam-5581	163	1	ŝ(k)a	ŝ(k)a	PROPN
ejpam-5581	163	2	cµ̂a	cµ̂a	NOUN
ejpam-5581	163	3	,	,	PUNCT
ejpam-5581	163	4	a	a	DET
ejpam-5581	163	5	(	(	PUNCT
ejpam-5581	163	6	k	k	NOUN
ejpam-5581	163	7	)	)	PUNCT
ejpam-5581	163	8	1	1	NUM
ejpam-5581	163	9	=	=	SYM
ejpam-5581	163	10	â	â	X
ejpam-5581	163	11	(	(	PUNCT
ejpam-5581	163	12	k	k	NOUN
ejpam-5581	163	13	)	)	PUNCT
ejpam-5581	163	14	1	1	NUM
ejpam-5581	163	15	a	a	DET
ejpam-5581	163	16	c	c	NOUN
ejpam-5581	163	17	,	,	PUNCT
ejpam-5581	163	18	t	t	PROPN
ejpam-5581	163	19	(	(	PUNCT
ejpam-5581	163	20	k	k	NOUN
ejpam-5581	163	21	)	)	PUNCT
ejpam-5581	163	22	=	=	SYM
ejpam-5581	163	23	t̂	t̂	PROPN
ejpam-5581	163	24	(	(	PUNCT
ejpam-5581	163	25	k	k	NOUN
ejpam-5581	163	26	)	)	PUNCT
ejpam-5581	163	27	−	−	PROPN
ejpam-5581	163	28	t0	t0	PROPN
ejpam-5581	163	29	t1	t1	NOUN
ejpam-5581	163	30	−	−	PROPN
ejpam-5581	163	31	t0	t0	PROPN
ejpam-5581	163	32	,	,	PUNCT
ejpam-5581	163	33	c(k	c(k	PROPN
ejpam-5581	163	34	)	)	PUNCT
ejpam-5581	163	35	=	=	SYM
ejpam-5581	163	36	ĉ(k	ĉ(k	PROPN
ejpam-5581	163	37	)	)	PUNCT
ejpam-5581	163	38	−	−	PROPN
ejpam-5581	163	39	c0	c0	PROPN
ejpam-5581	163	40	c1	c1	PROPN
ejpam-5581	163	41	−	−	PROPN
ejpam-5581	163	42	c0	c0	PROPN
ejpam-5581	163	43	.	.	PUNCT
ejpam-5581	164	1	(	(	PUNCT
ejpam-5581	164	2	19	19	NUM
ejpam-5581	164	3	)	)	PUNCT
ejpam-5581	164	4	we	we	PRON
ejpam-5581	164	5	can	can	AUX
ejpam-5581	164	6	more	more	ADV
ejpam-5581	164	7	effectively	effectively	ADV
ejpam-5581	164	8	investigate	investigate	VERB
ejpam-5581	164	9	the	the	DET
ejpam-5581	164	10	mucociliary	mucociliary	NOUN
ejpam-5581	164	11	flow	flow	NOUN
ejpam-5581	164	12	within	within	ADP
ejpam-5581	164	13	the	the	DET
ejpam-5581	164	14	reference	reference	NOUN
ejpam-5581	164	15	wave	wave	NOUN
ejpam-5581	164	16	frame	frame	NOUN
ejpam-5581	164	17	and	and	CCONJ
ejpam-5581	164	18	simplify	simplify	VERB
ejpam-5581	164	19	the	the	DET
ejpam-5581	164	20	study	study	NOUN
ejpam-5581	164	21	owing	owe	VERB
ejpam-5581	164	22	to	to	ADP
ejpam-5581	164	23	these	these	DET
ejpam-5581	164	24	transformations	transformation	NOUN
ejpam-5581	164	25	.	.	PUNCT
ejpam-5581	165	1	eqs	eqs	PROPN
ejpam-5581	165	2	.	.	PUNCT
ejpam-5581	166	1	(	(	PUNCT
ejpam-5581	166	2	5	5	NUM
ejpam-5581	166	3	)	)	PUNCT
ejpam-5581	166	4	,	,	PUNCT
ejpam-5581	166	5	(	(	PUNCT
ejpam-5581	166	6	6	6	NUM
ejpam-5581	166	7	)	)	PUNCT
ejpam-5581	166	8	and	and	CCONJ
ejpam-5581	166	9	(	(	PUNCT
ejpam-5581	166	10	12)-(18	12)-(18	NOUN
ejpam-5581	166	11	)	)	PUNCT
ejpam-5581	166	12	following	follow	VERB
ejpam-5581	166	13	the	the	DET
ejpam-5581	166	14	application	application	NOUN
ejpam-5581	166	15	of	of	ADP
ejpam-5581	166	16	dimensionless	dimensionless	NOUN
ejpam-5581	166	17	transformations	transformation	NOUN
ejpam-5581	166	18	(	(	PUNCT
ejpam-5581	166	19	19	19	NUM
ejpam-5581	166	20	)	)	PUNCT
ejpam-5581	166	21	,	,	PUNCT
ejpam-5581	166	22	utilizing	utilize	VERB
ejpam-5581	166	23	the	the	DET
ejpam-5581	166	24	smaller	small	ADJ
ejpam-5581	166	25	reynolds	reynold	NOUN
ejpam-5581	166	26	number	number	NOUN
ejpam-5581	166	27	(	(	PUNCT
ejpam-5581	166	28	re	re	X
ejpam-5581	166	29	→	→	X
ejpam-5581	166	30	0	0	NUM
ejpam-5581	166	31	)	)	PUNCT
ejpam-5581	166	32	and	and	CCONJ
ejpam-5581	166	33	long	long	ADJ
ejpam-5581	166	34	wavelength	wavelength	NOUN
ejpam-5581	166	35	(	(	PUNCT
ejpam-5581	166	36	β	β	NOUN
ejpam-5581	166	37	→	→	SYM
ejpam-5581	166	38	0	0	NUM
ejpam-5581	166	39	)	)	PUNCT
ejpam-5581	166	40	assumptions	assumption	NOUN
ejpam-5581	166	41	subsequently	subsequently	ADV
ejpam-5581	166	42	yields	yield	VERB
ejpam-5581	166	43	h(x	h(x	PROPN
ejpam-5581	166	44	)	)	PUNCT
ejpam-5581	167	1	=	=	PUNCT
ejpam-5581	167	2	±[1	±[1	NOUN
ejpam-5581	167	3	+	+	X
ejpam-5581	167	4	ϵ	ϵ	X
ejpam-5581	167	5	cosx	cosx	X
ejpam-5581	167	6	]	]	X
ejpam-5581	167	7	,	,	PUNCT
ejpam-5581	167	8	(	(	PUNCT
ejpam-5581	167	9	20	20	NUM
ejpam-5581	167	10	)	)	PUNCT
ejpam-5581	167	11	h1(x	h1(x	NOUN
ejpam-5581	167	12	)	)	PUNCT
ejpam-5581	167	13	=	=	NOUN
ejpam-5581	167	14	±[δ	±[δ	NOUN
ejpam-5581	167	15	+	+	CCONJ
ejpam-5581	167	16	δϵ	δϵ	X
ejpam-5581	167	17	cosx	cosx	PROPN
ejpam-5581	167	18	]	]	X
ejpam-5581	167	19	,	,	PUNCT
ejpam-5581	167	20	(	(	PUNCT
ejpam-5581	167	21	21	21	NUM
ejpam-5581	167	22	)	)	PUNCT
ejpam-5581	167	23	∂xu	∂xu	NOUN
ejpam-5581	167	24	(	(	PUNCT
ejpam-5581	167	25	k	k	NOUN
ejpam-5581	167	26	)	)	PUNCT
ejpam-5581	168	1	+	+	CCONJ
ejpam-5581	168	2	∂yv	∂yv	PROPN
ejpam-5581	168	3	(	(	PUNCT
ejpam-5581	168	4	k	k	NOUN
ejpam-5581	168	5	)	)	PUNCT
ejpam-5581	168	6	=	=	SYM
ejpam-5581	168	7	0	0	NUM
ejpam-5581	168	8	,	,	PUNCT
ejpam-5581	168	9	(	(	PUNCT
ejpam-5581	168	10	22	22	NUM
ejpam-5581	168	11	)	)	PUNCT
ejpam-5581	168	12	s(k	s(k	ADV
ejpam-5581	168	13	)	)	PUNCT
ejpam-5581	168	14	xy	xy	NOUN
ejpam-5581	169	1	=	=	NOUN
ejpam-5581	169	2	1	1	NUM
ejpam-5581	169	3	m	m	NOUN
ejpam-5581	169	4	[	[	PUNCT
ejpam-5581	169	5	∂yu	∂yu	PROPN
ejpam-5581	169	6	(	(	PUNCT
ejpam-5581	169	7	k	k	NOUN
ejpam-5581	169	8	)	)	PUNCT
ejpam-5581	169	9	+	+	CCONJ
ejpam-5581	169	10	(	(	PUNCT
ejpam-5581	169	11	we(k	we(k	NOUN
ejpam-5581	169	12	)	)	PUNCT
ejpam-5581	169	13	)	)	PUNCT
ejpam-5581	169	14	2	2	NUM
ejpam-5581	169	15	(	(	PUNCT
ejpam-5581	169	16	1−	1−	NUM
ejpam-5581	169	17	e2k	e2k	NOUN
ejpam-5581	169	18	)	)	PUNCT
ejpam-5581	169	19	m	m	PROPN
ejpam-5581	169	20	(	(	PUNCT
ejpam-5581	169	21	∂yu	∂yu	PROPN
ejpam-5581	169	22	(	(	PUNCT
ejpam-5581	169	23	k	k	NOUN
ejpam-5581	169	24	)	)	PUNCT
ejpam-5581	169	25	)	)	PUNCT
ejpam-5581	170	1	3	3	NUM
ejpam-5581	170	2	1	1	NUM
ejpam-5581	170	3	+	+	CCONJ
ejpam-5581	170	4	(	(	PUNCT
ejpam-5581	170	5	we(k	we(k	NOUN
ejpam-5581	170	6	)	)	PUNCT
ejpam-5581	170	7	)	)	PUNCT
ejpam-5581	170	8	2	2	NUM
ejpam-5581	170	9	(	(	PUNCT
ejpam-5581	170	10	1−	1−	NUM
ejpam-5581	170	11	e2k	e2k	NOUN
ejpam-5581	170	12	)	)	PUNCT
ejpam-5581	170	13	(	(	PUNCT
ejpam-5581	170	14	∂yu(k	∂yu(k	VERB
ejpam-5581	170	15	)	)	PUNCT
ejpam-5581	170	16	)	)	PUNCT
ejpam-5581	170	17	2	2	NUM
ejpam-5581	170	18	]	]	PUNCT
ejpam-5581	170	19	,	,	PUNCT
ejpam-5581	170	20	(	(	PUNCT
ejpam-5581	170	21	23	23	NUM
ejpam-5581	170	22	)	)	PUNCT
ejpam-5581	170	23	m∂ys	m∂ys	PROPN
ejpam-5581	170	24	(	(	PUNCT
ejpam-5581	170	25	k	k	NOUN
ejpam-5581	170	26	)	)	PUNCT
ejpam-5581	170	27	xy	xy	PUNCT
ejpam-5581	171	1	=	=	SYM
ejpam-5581	171	2	dxp	dxp	PROPN
ejpam-5581	171	3	,	,	PUNCT
ejpam-5581	171	4	(	(	PUNCT
ejpam-5581	171	5	24	24	NUM
ejpam-5581	171	6	)	)	PUNCT
ejpam-5581	171	7	∂yyt	∂yyt	NOUN
ejpam-5581	171	8	(	(	PUNCT
ejpam-5581	171	9	k	k	X
ejpam-5581	171	10	)	)	PUNCT
ejpam-5581	171	11	=	=	PUNCT
ejpam-5581	171	12	−br(k)s(k	−br(k)s(k	X
ejpam-5581	171	13	)	)	PUNCT
ejpam-5581	171	14	yx	yx	NOUN
ejpam-5581	171	15	∂yu	∂yu	PROPN
ejpam-5581	171	16	(	(	PUNCT
ejpam-5581	171	17	k	k	NOUN
ejpam-5581	171	18	)	)	PUNCT
ejpam-5581	171	19	,	,	PUNCT
ejpam-5581	171	20	(	(	PUNCT
ejpam-5581	171	21	25	25	NUM
ejpam-5581	171	22	)	)	PUNCT
ejpam-5581	171	23	∂yyc	∂yyc	NUM
ejpam-5581	171	24	(	(	PUNCT
ejpam-5581	171	25	k	k	X
ejpam-5581	171	26	)	)	PUNCT
ejpam-5581	171	27	=	=	PUNCT
ejpam-5581	172	1	−shst	−shst	PROPN
ejpam-5581	172	2	d	d	X
ejpam-5581	172	3	(	(	PUNCT
ejpam-5581	172	4	k	k	NOUN
ejpam-5581	172	5	)	)	PUNCT
ejpam-5581	172	6	b	b	PROPN
ejpam-5581	172	7	∂yyt	∂yyt	X
ejpam-5581	172	8	(	(	PUNCT
ejpam-5581	172	9	k	k	NOUN
ejpam-5581	172	10	)	)	PUNCT
ejpam-5581	172	11	,	,	PUNCT
ejpam-5581	172	12	(	(	PUNCT
ejpam-5581	172	13	26	26	NUM
ejpam-5581	172	14	)	)	PUNCT
ejpam-5581	172	15	in	in	ADP
ejpam-5581	172	16	which	which	PRON
ejpam-5581	172	17	we(k	we(k	PUNCT
ejpam-5581	172	18	)	)	PUNCT
ejpam-5581	172	19	=	=	SYM
ejpam-5581	172	20	λ	λ	X
ejpam-5581	172	21	(	(	PUNCT
ejpam-5581	172	22	k	k	NOUN
ejpam-5581	172	23	)	)	PUNCT
ejpam-5581	172	24	1	1	NUM
ejpam-5581	172	25	c	c	NOUN
ejpam-5581	172	26	a	a	PRON
ejpam-5581	172	27	is	be	AUX
ejpam-5581	172	28	used	use	VERB
ejpam-5581	172	29	to	to	PART
ejpam-5581	172	30	represent	represent	VERB
ejpam-5581	172	31	weissenberg	weissenberg	PROPN
ejpam-5581	172	32	number	number	NOUN
ejpam-5581	172	33	,	,	PUNCT
ejpam-5581	172	34	m	m	VERB
ejpam-5581	172	35	=	=	PUNCT
ejpam-5581	172	36	µ̂a	µ̂a	X
ejpam-5581	172	37	µ̂a	µ̂a	PROPN
ejpam-5581	172	38	+	+	CCONJ
ejpam-5581	172	39	η̂a	η̂a	PROPN
ejpam-5581	172	40	is	be	AUX
ejpam-5581	172	41	used	use	VERB
ejpam-5581	172	42	to	to	PART
ejpam-5581	172	43	represent	represent	VERB
ejpam-5581	172	44	effective	effective	ADJ
ejpam-5581	172	45	viscosity	viscosity	NOUN
ejpam-5581	172	46	,	,	PUNCT
ejpam-5581	172	47	br(k	br(k	NOUN
ejpam-5581	172	48	)	)	PUNCT
ejpam-5581	173	1	=	=	SYM
ejpam-5581	173	2	c2µ̂a	c2µ̂a	PROPN
ejpam-5581	173	3	χ(k	χ(k	NOUN
ejpam-5581	173	4	)	)	PUNCT
ejpam-5581	173	5	(	(	PUNCT
ejpam-5581	173	6	t1	t1	NOUN
ejpam-5581	173	7	−	−	PROPN
ejpam-5581	173	8	t0	t0	PROPN
ejpam-5581	173	9	)	)	PUNCT
ejpam-5581	173	10	is	be	AUX
ejpam-5581	173	11	used	use	VERB
ejpam-5581	173	12	to	to	PART
ejpam-5581	173	13	represent	represent	VERB
ejpam-5581	173	14	brinkman	brinkman	PROPN
ejpam-5581	173	15	number	number	NOUN
ejpam-5581	173	16	,	,	PUNCT
ejpam-5581	173	17	sh	sh	NOUN
ejpam-5581	173	18	=	=	PUNCT
ejpam-5581	173	19	µ̂a	µ̂a	X
ejpam-5581	173	20	d̂	d̂	X
ejpam-5581	173	21	(	(	PUNCT
ejpam-5581	173	22	a	a	X
ejpam-5581	173	23	)	)	PUNCT
ejpam-5581	173	24	b	b	NOUN
ejpam-5581	173	25	ρ̂a	ρ̂a	NOUN
ejpam-5581	173	26	is	be	AUX
ejpam-5581	173	27	used	use	VERB
ejpam-5581	173	28	to	to	PART
ejpam-5581	173	29	represent	represent	VERB
ejpam-5581	173	30	schmidt	schmidt	ADJ
ejpam-5581	173	31	number	number	NOUN
ejpam-5581	173	32	and	and	CCONJ
ejpam-5581	173	33	st	st	NOUN
ejpam-5581	173	34	=	=	NOUN
ejpam-5581	173	35	ρ̂adkt	ρ̂adkt	X
ejpam-5581	173	36	µ̂a(c1	µ̂a(c1	ADP
ejpam-5581	173	37	−	−	PROPN
ejpam-5581	173	38	c0	c0	NOUN
ejpam-5581	173	39	)	)	PUNCT
ejpam-5581	173	40	is	be	AUX
ejpam-5581	173	41	used	use	VERB
ejpam-5581	173	42	to	to	PART
ejpam-5581	173	43	represent	represent	VERB
ejpam-5581	173	44	soret	soret	NOUN
ejpam-5581	173	45	number	number	NOUN
ejpam-5581	173	46	.	.	PUNCT
ejpam-5581	174	1	in	in	ADP
ejpam-5581	174	2	biological	biological	ADJ
ejpam-5581	174	3	flows	flow	NOUN
ejpam-5581	174	4	,	,	PUNCT
ejpam-5581	174	5	the	the	DET
ejpam-5581	174	6	maximum	maximum	ADJ
ejpam-5581	174	7	velocity	velocity	NOUN
ejpam-5581	174	8	,	,	PUNCT
ejpam-5581	174	9	temperature	temperature	NOUN
ejpam-5581	174	10	,	,	PUNCT
ejpam-5581	174	11	and	and	CCONJ
ejpam-5581	174	12	concentration	concentration	NOUN
ejpam-5581	174	13	occur	occur	VERB
ejpam-5581	174	14	at	at	ADP
ejpam-5581	174	15	the	the	DET
ejpam-5581	174	16	a.	a.	NOUN
ejpam-5581	174	17	alaidrous	alaidrous	NOUN
ejpam-5581	174	18	,	,	PUNCT
ejpam-5581	174	19	h.	h.	PROPN
ejpam-5581	174	20	ashraf	ashraf	PROPN
ejpam-5581	174	21	/	/	SYM
ejpam-5581	174	22	eur	eur	PROPN
ejpam-5581	174	23	.	.	PUNCT
ejpam-5581	175	1	j.	j.	PROPN
ejpam-5581	175	2	pure	pure	PROPN
ejpam-5581	175	3	appl	appl	PROPN
ejpam-5581	175	4	.	.	PROPN
ejpam-5581	175	5	math	math	PROPN
ejpam-5581	175	6	,	,	PUNCT
ejpam-5581	175	7	18	18	NUM
ejpam-5581	175	8	(	(	PUNCT
ejpam-5581	175	9	1	1	NUM
ejpam-5581	175	10	)	)	PUNCT
ejpam-5581	175	11	(	(	PUNCT
ejpam-5581	175	12	2025	2025	NUM
ejpam-5581	175	13	)	)	PUNCT
ejpam-5581	175	14	,	,	PUNCT
ejpam-5581	175	15	5581	5581	NUM
ejpam-5581	175	16	10	10	NUM
ejpam-5581	175	17	of	of	ADP
ejpam-5581	175	18	30	30	NUM
ejpam-5581	175	19	midplane	midplane	NOUN
ejpam-5581	175	20	of	of	ADP
ejpam-5581	175	21	the	the	DET
ejpam-5581	175	22	airway	airway	NOUN
ejpam-5581	175	23	channel	channel	NOUN
ejpam-5581	175	24	.	.	PUNCT
ejpam-5581	176	1	shear	shear	NOUN
ejpam-5581	176	2	forces	force	NOUN
ejpam-5581	176	3	,	,	PUNCT
ejpam-5581	176	4	fluid	fluid	ADJ
ejpam-5581	176	5	velocities	velocity	NOUN
ejpam-5581	176	6	,	,	PUNCT
ejpam-5581	176	7	temperatures	temperature	NOUN
ejpam-5581	176	8	,	,	PUNCT
ejpam-5581	176	9	concentrations	concentration	NOUN
ejpam-5581	176	10	,	,	PUNCT
ejpam-5581	176	11	and	and	CCONJ
ejpam-5581	176	12	temperature	temperature	NOUN
ejpam-5581	176	13	and	and	CCONJ
ejpam-5581	176	14	concentration	concentration	NOUN
ejpam-5581	176	15	gradients	gradient	NOUN
ejpam-5581	176	16	are	be	AUX
ejpam-5581	176	17	the	the	DET
ejpam-5581	176	18	same	same	ADJ
ejpam-5581	176	19	at	at	ADP
ejpam-5581	176	20	the	the	DET
ejpam-5581	176	21	acl	acl	PROPN
ejpam-5581	176	22	-	-	PUNCT
ejpam-5581	176	23	pcl	pcl	PROPN
ejpam-5581	176	24	interface	interface	NOUN
ejpam-5581	176	25	[	[	X
ejpam-5581	176	26	5	5	NUM
ejpam-5581	176	27	,	,	PUNCT
ejpam-5581	176	28	23	23	NUM
ejpam-5581	176	29	]	]	PUNCT
ejpam-5581	176	30	.	.	PUNCT
ejpam-5581	177	1	consequently	consequently	ADV
ejpam-5581	177	2	,	,	PUNCT
ejpam-5581	177	3	we	we	PRON
ejpam-5581	177	4	have	have	VERB
ejpam-5581	177	5	the	the	DET
ejpam-5581	177	6	following	follow	VERB
ejpam-5581	177	7	boundary	boundary	ADJ
ejpam-5581	177	8	conditions	condition	NOUN
ejpam-5581	177	9	in	in	ADP
ejpam-5581	177	10	dimensionless	dimensionless	NOUN
ejpam-5581	177	11	wave	wave	NOUN
ejpam-5581	177	12	frame	frame	NOUN
ejpam-5581	177	13	of	of	ADP
ejpam-5581	177	14	reference	reference	NOUN
ejpam-5581	177	15	:	:	PUNCT
ejpam-5581	177	16	s(a	s(a	PROPN
ejpam-5581	177	17	)	)	PUNCT
ejpam-5581	177	18	xy	xy	PROPN
ejpam-5581	178	1	(	(	PUNCT
ejpam-5581	178	2	x	x	X
ejpam-5581	178	3	,	,	PUNCT
ejpam-5581	178	4	0	0	NUM
ejpam-5581	178	5	)	)	PUNCT
ejpam-5581	178	6	=	=	SYM
ejpam-5581	178	7	0	0	NUM
ejpam-5581	178	8	,	,	PUNCT
ejpam-5581	178	9	(	(	PUNCT
ejpam-5581	178	10	27	27	NUM
ejpam-5581	178	11	)	)	PUNCT
ejpam-5581	178	12	v(a)(x	v(a)(x	PROPN
ejpam-5581	178	13	,	,	PUNCT
ejpam-5581	178	14	0	0	NUM
ejpam-5581	178	15	)	)	PUNCT
ejpam-5581	178	16	=	=	SYM
ejpam-5581	178	17	0	0	NUM
ejpam-5581	178	18	,	,	PUNCT
ejpam-5581	178	19	(	(	PUNCT
ejpam-5581	178	20	28	28	NUM
ejpam-5581	178	21	)	)	PUNCT
ejpam-5581	178	22	∂yt	∂yt	PROPN
ejpam-5581	178	23	(	(	PUNCT
ejpam-5581	178	24	a)(x	a)(x	PROPN
ejpam-5581	178	25	,	,	PUNCT
ejpam-5581	178	26	0	0	NUM
ejpam-5581	178	27	)	)	PUNCT
ejpam-5581	178	28	=	=	SYM
ejpam-5581	178	29	0	0	NUM
ejpam-5581	178	30	,	,	PUNCT
ejpam-5581	178	31	(	(	PUNCT
ejpam-5581	178	32	29	29	NUM
ejpam-5581	178	33	)	)	PUNCT
ejpam-5581	178	34	∂yc	∂yc	PROPN
ejpam-5581	178	35	(	(	PUNCT
ejpam-5581	178	36	a)(x	a)(x	PROPN
ejpam-5581	178	37	,	,	PUNCT
ejpam-5581	178	38	0	0	NUM
ejpam-5581	178	39	)	)	PUNCT
ejpam-5581	178	40	=	=	SYM
ejpam-5581	178	41	0	0	X
ejpam-5581	178	42	.	.	PUNCT
ejpam-5581	179	1	(	(	PUNCT
ejpam-5581	179	2	30	30	NUM
ejpam-5581	179	3	)	)	PUNCT
ejpam-5581	179	4	s(a	s(a	PROPN
ejpam-5581	179	5	)	)	PUNCT
ejpam-5581	180	1	xy	xy	PROPN
ejpam-5581	181	1	(	(	PUNCT
ejpam-5581	181	2	x	x	NOUN
ejpam-5581	181	3	,	,	PUNCT
ejpam-5581	181	4	h1	h1	NOUN
ejpam-5581	181	5	)	)	PUNCT
ejpam-5581	181	6	=	=	SYM
ejpam-5581	181	7	s(p	s(p	PROPN
ejpam-5581	181	8	)	)	PUNCT
ejpam-5581	182	1	xy	xy	PROPN
ejpam-5581	182	2	(	(	PUNCT
ejpam-5581	182	3	x	x	NOUN
ejpam-5581	182	4	,	,	PUNCT
ejpam-5581	182	5	h1	h1	PROPN
ejpam-5581	182	6	)	)	PUNCT
ejpam-5581	182	7	,	,	PUNCT
ejpam-5581	182	8	(	(	PUNCT
ejpam-5581	182	9	31	31	NUM
ejpam-5581	182	10	)	)	PUNCT
ejpam-5581	182	11	u(a	u(a	PROPN
ejpam-5581	182	12	)	)	PUNCT
ejpam-5581	182	13	xy	xy	PROPN
ejpam-5581	183	1	(	(	PUNCT
ejpam-5581	183	2	x	x	NOUN
ejpam-5581	183	3	,	,	PUNCT
ejpam-5581	183	4	h1	h1	NOUN
ejpam-5581	183	5	)	)	PUNCT
ejpam-5581	183	6	=	=	SYM
ejpam-5581	183	7	u(p	u(p	NOUN
ejpam-5581	183	8	)	)	PUNCT
ejpam-5581	183	9	xy	xy	PROPN
ejpam-5581	183	10	(	(	PUNCT
ejpam-5581	183	11	x	x	NOUN
ejpam-5581	183	12	,	,	PUNCT
ejpam-5581	183	13	h1	h1	PROPN
ejpam-5581	183	14	)	)	PUNCT
ejpam-5581	183	15	,	,	PUNCT
ejpam-5581	183	16	(	(	PUNCT
ejpam-5581	183	17	32	32	NUM
ejpam-5581	183	18	)	)	PUNCT
ejpam-5581	183	19	v(a)(x	v(a)(x	PROPN
ejpam-5581	183	20	,	,	PUNCT
ejpam-5581	183	21	h1	h1	NOUN
ejpam-5581	183	22	)	)	PUNCT
ejpam-5581	183	23	=	=	SYM
ejpam-5581	183	24	v(p	v(p	NOUN
ejpam-5581	183	25	)	)	PUNCT
ejpam-5581	183	26	(	(	PUNCT
ejpam-5581	183	27	x	x	X
ejpam-5581	183	28	,	,	PUNCT
ejpam-5581	183	29	h1	h1	PROPN
ejpam-5581	183	30	)	)	PUNCT
ejpam-5581	183	31	,	,	PUNCT
ejpam-5581	183	32	(	(	PUNCT
ejpam-5581	183	33	33	33	NUM
ejpam-5581	183	34	)	)	PUNCT
ejpam-5581	183	35	t	t	NOUN
ejpam-5581	183	36	(	(	PUNCT
ejpam-5581	183	37	a)(x	a)(x	PROPN
ejpam-5581	183	38	,	,	PUNCT
ejpam-5581	183	39	h1	h1	NOUN
ejpam-5581	183	40	)	)	PUNCT
ejpam-5581	184	1	=	=	SYM
ejpam-5581	184	2	t	t	PROPN
ejpam-5581	184	3	(	(	PUNCT
ejpam-5581	184	4	p	p	NOUN
ejpam-5581	184	5	)	)	PUNCT
ejpam-5581	184	6	(	(	PUNCT
ejpam-5581	184	7	x	x	NOUN
ejpam-5581	184	8	,	,	PUNCT
ejpam-5581	184	9	h1	h1	PROPN
ejpam-5581	184	10	)	)	PUNCT
ejpam-5581	184	11	,	,	PUNCT
ejpam-5581	184	12	(	(	PUNCT
ejpam-5581	184	13	34	34	X
ejpam-5581	184	14	)	)	PUNCT
ejpam-5581	184	15	∂yt	∂yt	PROPN
ejpam-5581	184	16	(	(	PUNCT
ejpam-5581	184	17	a)(x	a)(x	PROPN
ejpam-5581	184	18	,	,	PUNCT
ejpam-5581	184	19	h1	h1	NOUN
ejpam-5581	184	20	)	)	PUNCT
ejpam-5581	185	1	=	=	PUNCT
ejpam-5581	185	2	ζ∂yt	ζ∂yt	INTJ
ejpam-5581	186	1	p	p	X
ejpam-5581	186	2	(	(	PUNCT
ejpam-5581	186	3	x	x	NOUN
ejpam-5581	186	4	,	,	PUNCT
ejpam-5581	186	5	h1	h1	PROPN
ejpam-5581	186	6	)	)	PUNCT
ejpam-5581	186	7	,	,	PUNCT
ejpam-5581	186	8	(	(	PUNCT
ejpam-5581	186	9	35	35	NUM
ejpam-5581	186	10	)	)	PUNCT
ejpam-5581	186	11	∂yc	∂yc	PROPN
ejpam-5581	186	12	(	(	PUNCT
ejpam-5581	186	13	a)(x	a)(x	PROPN
ejpam-5581	186	14	,	,	PUNCT
ejpam-5581	186	15	h1	h1	NOUN
ejpam-5581	186	16	)	)	PUNCT
ejpam-5581	186	17	=	=	SYM
ejpam-5581	187	1	π∂yc	π∂yc	PROPN
ejpam-5581	187	2	(	(	PUNCT
ejpam-5581	187	3	p	p	NOUN
ejpam-5581	187	4	)	)	PUNCT
ejpam-5581	187	5	(	(	PUNCT
ejpam-5581	187	6	x	x	NOUN
ejpam-5581	187	7	,	,	PUNCT
ejpam-5581	187	8	h1	h1	PROPN
ejpam-5581	187	9	)	)	PUNCT
ejpam-5581	187	10	,	,	PUNCT
ejpam-5581	187	11	(	(	PUNCT
ejpam-5581	187	12	36	36	NUM
ejpam-5581	187	13	)	)	PUNCT
ejpam-5581	187	14	c(a)(x	c(a)(x	PROPN
ejpam-5581	187	15	,	,	PUNCT
ejpam-5581	187	16	h1	h1	NOUN
ejpam-5581	187	17	)	)	PUNCT
ejpam-5581	187	18	=	=	SYM
ejpam-5581	187	19	c(p	c(p	PROPN
ejpam-5581	187	20	)	)	PUNCT
ejpam-5581	187	21	(	(	PUNCT
ejpam-5581	187	22	x	x	NOUN
ejpam-5581	187	23	,	,	PUNCT
ejpam-5581	187	24	h1	h1	PROPN
ejpam-5581	187	25	)	)	PUNCT
ejpam-5581	187	26	.	.	PUNCT
ejpam-5581	188	1	(	(	PUNCT
ejpam-5581	188	2	37	37	NUM
ejpam-5581	188	3	)	)	PUNCT
ejpam-5581	188	4	t	t	NOUN
ejpam-5581	188	5	(	(	PUNCT
ejpam-5581	188	6	2)(x	2)(x	NUM
ejpam-5581	188	7	,	,	PUNCT
ejpam-5581	188	8	h	h	NOUN
ejpam-5581	188	9	)	)	PUNCT
ejpam-5581	188	10	=	=	SYM
ejpam-5581	188	11	0	0	NUM
ejpam-5581	188	12	,	,	PUNCT
ejpam-5581	188	13	(	(	PUNCT
ejpam-5581	188	14	38	38	NUM
ejpam-5581	188	15	)	)	PUNCT
ejpam-5581	188	16	c(2)(x	c(2)(x	PROPN
ejpam-5581	188	17	,	,	PUNCT
ejpam-5581	188	18	h	h	NOUN
ejpam-5581	188	19	)	)	PUNCT
ejpam-5581	188	20	=	=	SYM
ejpam-5581	188	21	0	0	NUM
ejpam-5581	188	22	,	,	PUNCT
ejpam-5581	188	23	(	(	PUNCT
ejpam-5581	188	24	39	39	NUM
ejpam-5581	188	25	)	)	PUNCT
ejpam-5581	188	26	u(2)(x	u(2)(x	NOUN
ejpam-5581	188	27	,	,	PUNCT
ejpam-5581	188	28	h	h	NOUN
ejpam-5581	188	29	)	)	PUNCT
ejpam-5581	188	30	=	=	SYM
ejpam-5581	189	1	−1−	−1−	PROPN
ejpam-5581	189	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	189	3	cos(2πx	cos(2πx	NOUN
ejpam-5581	189	4	)	)	PUNCT
ejpam-5581	189	5	,	,	PUNCT
ejpam-5581	189	6	(	(	PUNCT
ejpam-5581	189	7	40	40	NUM
ejpam-5581	189	8	)	)	PUNCT
ejpam-5581	189	9	v(2)(x	v(2)(x	NOUN
ejpam-5581	189	10	,	,	PUNCT
ejpam-5581	189	11	h	h	NOUN
ejpam-5581	189	12	)	)	PUNCT
ejpam-5581	189	13	=	=	SYM
ejpam-5581	189	14	±2πϵ(sin(2πx	±2πϵ(sin(2πx	PROPN
ejpam-5581	189	15	)	)	PUNCT
ejpam-5581	190	1	+	+	CCONJ
ejpam-5581	190	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	190	3	sin(2πx)cos(2πx	sin(2πx)cos(2πx	NOUN
ejpam-5581	190	4	)	)	PUNCT
ejpam-5581	190	5	)	)	PUNCT
ejpam-5581	190	6	.	.	PUNCT
ejpam-5581	191	1	(	(	PUNCT
ejpam-5581	191	2	41	41	NUM
ejpam-5581	191	3	)	)	PUNCT
ejpam-5581	191	4	in	in	ADP
ejpam-5581	191	5	eq	eq	ADP
ejpam-5581	191	6	.	.	PUNCT
ejpam-5581	192	1	(	(	PUNCT
ejpam-5581	192	2	35	35	NUM
ejpam-5581	192	3	)	)	PUNCT
ejpam-5581	192	4	and	and	CCONJ
ejpam-5581	192	5	eq	eq	NOUN
ejpam-5581	192	6	.	.	PUNCT
ejpam-5581	193	1	(	(	PUNCT
ejpam-5581	193	2	36	36	NUM
ejpam-5581	193	3	)	)	PUNCT
ejpam-5581	193	4	,	,	PUNCT
ejpam-5581	193	5	ζ	ζ	NOUN
ejpam-5581	193	6	=	=	SYM
ejpam-5581	193	7	χ(p	χ(p	PROPN
ejpam-5581	193	8	)	)	PUNCT
ejpam-5581	193	9	χ(a	χ(a	NOUN
ejpam-5581	193	10	)	)	PUNCT
ejpam-5581	193	11	denotes	denote	NOUN
ejpam-5581	193	12	for	for	ADP
ejpam-5581	193	13	conductivity	conductivity	NOUN
ejpam-5581	193	14	ratio	ratio	NOUN
ejpam-5581	193	15	and	and	CCONJ
ejpam-5581	194	1	π	π	NOUN
ejpam-5581	194	2	=	=	SYM
ejpam-5581	194	3	d	d	X
ejpam-5581	194	4	(	(	PUNCT
ejpam-5581	194	5	a	a	NOUN
ejpam-5581	194	6	)	)	PUNCT
ejpam-5581	194	7	b	b	NOUN
ejpam-5581	195	1	d	d	NOUN
ejpam-5581	195	2	(	(	PUNCT
ejpam-5581	195	3	p	p	NOUN
ejpam-5581	195	4	)	)	PUNCT
ejpam-5581	195	5	b	b	PROPN
ejpam-5581	195	6	denotes	denote	NOUN
ejpam-5581	195	7	for	for	ADP
ejpam-5581	195	8	mass	mass	ADJ
ejpam-5581	195	9	diffusivity	diffusivity	NOUN
ejpam-5581	195	10	ratio	ratio	NOUN
ejpam-5581	195	11	.	.	PUNCT
ejpam-5581	196	1	the	the	DET
ejpam-5581	196	2	condition	condition	NOUN
ejpam-5581	196	3	of	of	ADP
ejpam-5581	196	4	the	the	DET
ejpam-5581	196	5	pressure	pressure	NOUN
ejpam-5581	196	6	gradient	gradient	NOUN
ejpam-5581	196	7	at	at	ADP
ejpam-5581	196	8	the	the	DET
ejpam-5581	196	9	airway	airway	NOUN
ejpam-5581	196	10	channel	channel	NOUN
ejpam-5581	196	11	entrance	entrance	NOUN
ejpam-5581	196	12	is	be	AUX
ejpam-5581	196	13	described	describe	VERB
ejpam-5581	196	14	as	as	ADP
ejpam-5581	196	15	[	[	X
ejpam-5581	196	16	5	5	NUM
ejpam-5581	196	17	]	]	NOUN
ejpam-5581	196	18	:	:	PUNCT
ejpam-5581	196	19	dxp(0	dxp(0	NOUN
ejpam-5581	196	20	)	)	PUNCT
ejpam-5581	197	1	=	=	SYM
ejpam-5581	197	2	−ξ	−ξ	NOUN
ejpam-5581	197	3	.	.	PUNCT
ejpam-5581	198	1	(	(	PUNCT
ejpam-5581	198	2	42	42	NUM
ejpam-5581	198	3	)	)	PUNCT
ejpam-5581	198	4	after	after	ADP
ejpam-5581	198	5	integrating	integrate	VERB
ejpam-5581	198	6	eq	eq	ADP
ejpam-5581	198	7	.	.	PUNCT
ejpam-5581	199	1	(	(	PUNCT
ejpam-5581	199	2	24	24	NUM
ejpam-5581	199	3	)	)	PUNCT
ejpam-5581	199	4	concerning	concern	VERB
ejpam-5581	199	5	‘	'	PUNCT
ejpam-5581	199	6	y	y	NOUN
ejpam-5581	199	7	’	'	PUNCT
ejpam-5581	199	8	and	and	CCONJ
ejpam-5581	199	9	invoking	invoke	VERB
ejpam-5581	199	10	the	the	DET
ejpam-5581	199	11	boundary	boundary	ADJ
ejpam-5581	199	12	conditions	condition	NOUN
ejpam-5581	199	13	(	(	PUNCT
ejpam-5581	199	14	27	27	NUM
ejpam-5581	199	15	)	)	PUNCT
ejpam-5581	199	16	and	and	CCONJ
ejpam-5581	199	17	(	(	PUNCT
ejpam-5581	199	18	31	31	NUM
ejpam-5581	199	19	)	)	PUNCT
ejpam-5581	199	20	into	into	ADP
ejpam-5581	199	21	resulting	result	VERB
ejpam-5581	199	22	equation	equation	NOUN
ejpam-5581	199	23	,	,	PUNCT
ejpam-5581	199	24	one	one	PRON
ejpam-5581	199	25	finally	finally	ADV
ejpam-5581	199	26	arrives	arrive	VERB
ejpam-5581	199	27	at	at	ADP
ejpam-5581	199	28	ms(k	ms(k	NOUN
ejpam-5581	199	29	)	)	PUNCT
ejpam-5581	199	30	xy	xy	NOUN
ejpam-5581	200	1	=	=	SYM
ejpam-5581	200	2	ydxp	ydxp	PROPN
ejpam-5581	200	3	.	.	PUNCT
ejpam-5581	201	1	(	(	PUNCT
ejpam-5581	201	2	43	43	X
ejpam-5581	201	3	)	)	PUNCT
ejpam-5581	201	4	putting	put	VERB
ejpam-5581	201	5	eq	eq	NOUN
ejpam-5581	201	6	.	.	PUNCT
ejpam-5581	202	1	(	(	PUNCT
ejpam-5581	202	2	23	23	NUM
ejpam-5581	202	3	)	)	PUNCT
ejpam-5581	202	4	into	into	ADP
ejpam-5581	202	5	eq	eq	NOUN
ejpam-5581	202	6	.	.	PUNCT
ejpam-5581	203	1	(	(	PUNCT
ejpam-5581	203	2	43	43	NUM
ejpam-5581	203	3	)	)	PUNCT
ejpam-5581	203	4	and	and	CCONJ
ejpam-5581	203	5	eq	eq	NOUN
ejpam-5581	203	6	.	.	PUNCT
ejpam-5581	204	1	(	(	PUNCT
ejpam-5581	204	2	25	25	NUM
ejpam-5581	204	3	)	)	PUNCT
ejpam-5581	204	4	,	,	PUNCT
ejpam-5581	204	5	respectively	respectively	ADV
ejpam-5581	204	6	we	we	PRON
ejpam-5581	204	7	have	have	VERB
ejpam-5581	204	8	∂yu	∂yu	PROPN
ejpam-5581	204	9	(	(	PUNCT
ejpam-5581	204	10	k	k	NOUN
ejpam-5581	204	11	)	)	PUNCT
ejpam-5581	205	1	=	=	SYM
ejpam-5581	205	2	g	g	PROPN
ejpam-5581	205	3	(	(	PUNCT
ejpam-5581	205	4	k	k	NOUN
ejpam-5581	205	5	)	)	PUNCT
ejpam-5581	205	6	1	1	NUM
ejpam-5581	206	1	[	[	X
ejpam-5581	206	2	(	(	PUNCT
ejpam-5581	206	3	∂yu	∂yu	PROPN
ejpam-5581	206	4	(	(	PUNCT
ejpam-5581	206	5	k	k	NOUN
ejpam-5581	206	6	)	)	PUNCT
ejpam-5581	206	7	)	)	PUNCT
ejpam-5581	206	8	2	2	NUM
ejpam-5581	206	9	ydxp−m	ydxp−m	NOUN
ejpam-5581	206	10	(	(	PUNCT
ejpam-5581	206	11	∂yu	∂yu	PROPN
ejpam-5581	206	12	(	(	PUNCT
ejpam-5581	206	13	k	k	NOUN
ejpam-5581	206	14	)	)	PUNCT
ejpam-5581	206	15	)	)	PUNCT
ejpam-5581	206	16	3	3	X
ejpam-5581	206	17	]	]	PUNCT
ejpam-5581	206	18	+	+	NUM
ejpam-5581	206	19	ydxp	ydxp	NOUN
ejpam-5581	206	20	,	,	PUNCT
ejpam-5581	206	21	(	(	PUNCT
ejpam-5581	206	22	44	44	NUM
ejpam-5581	206	23	)	)	PUNCT
ejpam-5581	206	24	a.	a.	NOUN
ejpam-5581	206	25	alaidrous	alaidrous	PROPN
ejpam-5581	206	26	,	,	PUNCT
ejpam-5581	206	27	h.	h.	PROPN
ejpam-5581	206	28	ashraf	ashraf	PROPN
ejpam-5581	206	29	/	/	SYM
ejpam-5581	206	30	eur	eur	PROPN
ejpam-5581	206	31	.	.	PUNCT
ejpam-5581	207	1	j.	j.	PROPN
ejpam-5581	207	2	pure	pure	PROPN
ejpam-5581	207	3	appl	appl	PROPN
ejpam-5581	207	4	.	.	PROPN
ejpam-5581	207	5	math	math	PROPN
ejpam-5581	207	6	,	,	PUNCT
ejpam-5581	207	7	18	18	NUM
ejpam-5581	207	8	(	(	PUNCT
ejpam-5581	207	9	1	1	NUM
ejpam-5581	207	10	)	)	PUNCT
ejpam-5581	207	11	(	(	PUNCT
ejpam-5581	207	12	2025	2025	NUM
ejpam-5581	207	13	)	)	PUNCT
ejpam-5581	207	14	,	,	PUNCT
ejpam-5581	207	15	5581	5581	NUM
ejpam-5581	207	16	11	11	NUM
ejpam-5581	207	17	of	of	ADP
ejpam-5581	207	18	30	30	NUM
ejpam-5581	207	19	∂yyt	∂yyt	NOUN
ejpam-5581	207	20	(	(	PUNCT
ejpam-5581	207	21	k	k	NOUN
ejpam-5581	207	22	)	)	PUNCT
ejpam-5581	207	23	=	=	SYM
ejpam-5581	207	24	−g	−g	NOUN
ejpam-5581	207	25	(	(	PUNCT
ejpam-5581	207	26	k	k	NOUN
ejpam-5581	207	27	)	)	PUNCT
ejpam-5581	207	28	2	2	NUM
ejpam-5581	208	1	[	[	X
ejpam-5581	208	2	(	(	PUNCT
ejpam-5581	208	3	∂yu	∂yu	PROPN
ejpam-5581	208	4	(	(	PUNCT
ejpam-5581	208	5	k	k	NOUN
ejpam-5581	208	6	)	)	PUNCT
ejpam-5581	208	7	)	)	PUNCT
ejpam-5581	208	8	2	2	X
ejpam-5581	209	1	+	+	NOUN
ejpam-5581	209	2	g	g	PROPN
ejpam-5581	209	3	(	(	PUNCT
ejpam-5581	209	4	k	k	NOUN
ejpam-5581	209	5	)	)	PUNCT
ejpam-5581	209	6	3	3	NUM
ejpam-5581	209	7	(	(	PUNCT
ejpam-5581	209	8	∂yu	∂yu	PROPN
ejpam-5581	209	9	(	(	PUNCT
ejpam-5581	209	10	k	k	NOUN
ejpam-5581	209	11	)	)	PUNCT
ejpam-5581	209	12	)	)	PUNCT
ejpam-5581	209	13	4	4	NUM
ejpam-5581	209	14	−g	−g	NOUN
ejpam-5581	209	15	(	(	PUNCT
ejpam-5581	209	16	k	k	NOUN
ejpam-5581	209	17	)	)	PUNCT
ejpam-5581	209	18	4	4	NUM
ejpam-5581	209	19	(	(	PUNCT
ejpam-5581	209	20	∂yu	∂yu	PROPN
ejpam-5581	209	21	(	(	PUNCT
ejpam-5581	209	22	k	k	NOUN
ejpam-5581	209	23	)	)	PUNCT
ejpam-5581	209	24	)	)	PUNCT
ejpam-5581	209	25	6	6	NUM
ejpam-5581	209	26	]	]	PUNCT
ejpam-5581	209	27	.	.	PUNCT
ejpam-5581	210	1	(	(	PUNCT
ejpam-5581	210	2	45	45	NUM
ejpam-5581	210	3	)	)	PUNCT
ejpam-5581	210	4	substituting	substitute	VERB
ejpam-5581	210	5	eq	eq	PROPN
ejpam-5581	210	6	.	.	PUNCT
ejpam-5581	211	1	(	(	PUNCT
ejpam-5581	211	2	45	45	NUM
ejpam-5581	211	3	)	)	PUNCT
ejpam-5581	211	4	into	into	ADP
ejpam-5581	211	5	eq	eq	NOUN
ejpam-5581	211	6	.	.	PUNCT
ejpam-5581	212	1	(	(	PUNCT
ejpam-5581	212	2	26	26	NUM
ejpam-5581	212	3	)	)	PUNCT
ejpam-5581	212	4	,	,	PUNCT
ejpam-5581	212	5	we	we	PRON
ejpam-5581	212	6	get	get	VERB
ejpam-5581	212	7	∂yyc	∂yyc	NUM
ejpam-5581	212	8	(	(	PUNCT
ejpam-5581	212	9	k	k	NOUN
ejpam-5581	212	10	)	)	PUNCT
ejpam-5581	213	1	=	=	SYM
ejpam-5581	213	2	j	j	PROPN
ejpam-5581	213	3	(	(	PUNCT
ejpam-5581	213	4	k	k	NOUN
ejpam-5581	213	5	)	)	PUNCT
ejpam-5581	213	6	1	1	NUM
ejpam-5581	214	1	[	[	X
ejpam-5581	214	2	(	(	PUNCT
ejpam-5581	214	3	∂yu	∂yu	PROPN
ejpam-5581	214	4	(	(	PUNCT
ejpam-5581	214	5	k	k	NOUN
ejpam-5581	214	6	)	)	PUNCT
ejpam-5581	214	7	)	)	PUNCT
ejpam-5581	214	8	2	2	X
ejpam-5581	215	1	+	+	NOUN
ejpam-5581	215	2	g	g	PROPN
ejpam-5581	215	3	(	(	PUNCT
ejpam-5581	215	4	k	k	NOUN
ejpam-5581	215	5	)	)	PUNCT
ejpam-5581	215	6	3	3	NUM
ejpam-5581	215	7	(	(	PUNCT
ejpam-5581	215	8	∂yu	∂yu	PROPN
ejpam-5581	215	9	(	(	PUNCT
ejpam-5581	215	10	k	k	NOUN
ejpam-5581	215	11	)	)	PUNCT
ejpam-5581	215	12	)	)	PUNCT
ejpam-5581	215	13	4	4	NUM
ejpam-5581	215	14	−g	−g	NOUN
ejpam-5581	215	15	(	(	PUNCT
ejpam-5581	215	16	k	k	NOUN
ejpam-5581	215	17	)	)	PUNCT
ejpam-5581	215	18	4	4	NUM
ejpam-5581	215	19	(	(	PUNCT
ejpam-5581	215	20	∂yu	∂yu	PROPN
ejpam-5581	215	21	(	(	PUNCT
ejpam-5581	215	22	k	k	NOUN
ejpam-5581	215	23	)	)	PUNCT
ejpam-5581	215	24	)	)	PUNCT
ejpam-5581	215	25	6	6	NUM
ejpam-5581	215	26	]	]	PUNCT
ejpam-5581	215	27	.	.	PUNCT
ejpam-5581	216	1	(	(	PUNCT
ejpam-5581	216	2	46	46	NUM
ejpam-5581	216	3	)	)	PUNCT
ejpam-5581	216	4	in	in	ADP
ejpam-5581	216	5	this	this	DET
ejpam-5581	216	6	section	section	NOUN
ejpam-5581	216	7	,	,	PUNCT
ejpam-5581	216	8	we	we	PRON
ejpam-5581	216	9	have	have	AUX
ejpam-5581	216	10	derived	derive	VERB
ejpam-5581	216	11	three	three	NUM
ejpam-5581	216	12	nonlinear	nonlinear	ADJ
ejpam-5581	216	13	partial	partial	ADJ
ejpam-5581	216	14	differential	differential	NOUN
ejpam-5581	216	15	equations	equation	NOUN
ejpam-5581	216	16	,	,	PUNCT
ejpam-5581	216	17	namely	namely	ADV
ejpam-5581	216	18	eq	eq	ADP
ejpam-5581	216	19	.	.	PUNCT
ejpam-5581	217	1	(	(	PUNCT
ejpam-5581	217	2	45	45	NUM
ejpam-5581	217	3	)	)	PUNCT
ejpam-5581	217	4	,	,	PUNCT
ejpam-5581	217	5	eq	eq	NOUN
ejpam-5581	217	6	.	.	PUNCT
ejpam-5581	218	1	(	(	PUNCT
ejpam-5581	218	2	46	46	NUM
ejpam-5581	218	3	)	)	PUNCT
ejpam-5581	218	4	,	,	PUNCT
ejpam-5581	218	5	and	and	CCONJ
ejpam-5581	218	6	eq	eq	NOUN
ejpam-5581	218	7	.	.	PUNCT
ejpam-5581	219	1	(	(	PUNCT
ejpam-5581	219	2	44	44	NUM
ejpam-5581	219	3	)	)	PUNCT
ejpam-5581	219	4	.	.	PUNCT
ejpam-5581	220	1	the	the	DET
ejpam-5581	220	2	first	first	ADJ
ejpam-5581	220	3	two	two	NUM
ejpam-5581	220	4	are	be	AUX
ejpam-5581	220	5	second	second	ADJ
ejpam-5581	220	6	-	-	PUNCT
ejpam-5581	220	7	order	order	NOUN
ejpam-5581	220	8	,	,	PUNCT
ejpam-5581	220	9	while	while	SCONJ
ejpam-5581	220	10	the	the	DET
ejpam-5581	220	11	third	third	ADJ
ejpam-5581	220	12	one	one	NOUN
ejpam-5581	220	13	is	be	AUX
ejpam-5581	220	14	firstorder	firstorder	NOUN
ejpam-5581	220	15	.	.	PUNCT
ejpam-5581	221	1	all	all	DET
ejpam-5581	221	2	these	these	DET
ejpam-5581	221	3	equations	equation	NOUN
ejpam-5581	221	4	seem	seem	VERB
ejpam-5581	221	5	to	to	PART
ejpam-5581	221	6	be	be	AUX
ejpam-5581	221	7	unsolvable	unsolvable	ADJ
ejpam-5581	221	8	by	by	ADP
ejpam-5581	221	9	exact	exact	ADJ
ejpam-5581	221	10	methods	method	NOUN
ejpam-5581	221	11	.	.	PUNCT
ejpam-5581	222	1	in	in	ADP
ejpam-5581	222	2	the	the	DET
ejpam-5581	222	3	next	next	ADJ
ejpam-5581	222	4	section	section	NOUN
ejpam-5581	222	5	,	,	PUNCT
ejpam-5581	222	6	we	we	PRON
ejpam-5581	222	7	will	will	AUX
ejpam-5581	222	8	look	look	VERB
ejpam-5581	222	9	for	for	ADP
ejpam-5581	222	10	upto	upto	ADJ
ejpam-5581	222	11	second	second	ADJ
ejpam-5581	222	12	-	-	PUNCT
ejpam-5581	222	13	order	order	NOUN
ejpam-5581	222	14	solution	solution	NOUN
ejpam-5581	222	15	using	use	VERB
ejpam-5581	222	16	the	the	DET
ejpam-5581	222	17	adm	adm	NOUN
ejpam-5581	222	18	while	while	SCONJ
ejpam-5581	222	19	taking	take	VERB
ejpam-5581	222	20	into	into	ADP
ejpam-5581	222	21	account	account	NOUN
ejpam-5581	222	22	the	the	DET
ejpam-5581	222	23	boundary	boundary	ADJ
ejpam-5581	222	24	conditions	condition	NOUN
ejpam-5581	222	25	(	(	PUNCT
ejpam-5581	222	26	28)-(30	28)-(30	NUM
ejpam-5581	222	27	)	)	PUNCT
ejpam-5581	222	28	and	and	CCONJ
ejpam-5581	222	29	(	(	PUNCT
ejpam-5581	222	30	32)-(42	32)-(42	NOUN
ejpam-5581	222	31	)	)	PUNCT
ejpam-5581	222	32	.	.	PUNCT
ejpam-5581	223	1	3	3	X
ejpam-5581	223	2	.	.	X
ejpam-5581	223	3	solution	solution	NOUN
ejpam-5581	223	4	of	of	ADP
ejpam-5581	223	5	the	the	DET
ejpam-5581	223	6	problem	problem	NOUN
ejpam-5581	223	7	we	we	PRON
ejpam-5581	223	8	can	can	AUX
ejpam-5581	223	9	write	write	VERB
ejpam-5581	223	10	eqs	eqs	PROPN
ejpam-5581	223	11	.	.	PUNCT
ejpam-5581	224	1	(	(	PUNCT
ejpam-5581	224	2	44)-(46	44)-(46	PROPN
ejpam-5581	224	3	)	)	PUNCT
ejpam-5581	224	4	in	in	ADP
ejpam-5581	224	5	operator	operator	NOUN
ejpam-5581	224	6	form	form	NOUN
ejpam-5581	224	7	by	by	ADP
ejpam-5581	224	8	denoting	denote	VERB
ejpam-5581	224	9	the	the	DET
ejpam-5581	224	10	nonlinear	nonlinear	ADJ
ejpam-5581	224	11	terms	term	NOUN
ejpam-5581	224	12	:	:	PUNCT
ejpam-5581	224	13	(	(	PUNCT
ejpam-5581	224	14	∂yu	∂yu	PROPN
ejpam-5581	224	15	(	(	PUNCT
ejpam-5581	224	16	k	k	NOUN
ejpam-5581	224	17	)	)	PUNCT
ejpam-5581	224	18	)	)	PUNCT
ejpam-5581	224	19	2	2	NUM
ejpam-5581	224	20	,	,	PUNCT
ejpam-5581	224	21	(	(	PUNCT
ejpam-5581	224	22	∂yu	∂yu	PROPN
ejpam-5581	224	23	(	(	PUNCT
ejpam-5581	224	24	k	k	NOUN
ejpam-5581	224	25	)	)	PUNCT
ejpam-5581	224	26	)	)	PUNCT
ejpam-5581	224	27	3	3	NUM
ejpam-5581	224	28	,	,	PUNCT
ejpam-5581	224	29	(	(	PUNCT
ejpam-5581	224	30	∂yu	∂yu	PROPN
ejpam-5581	224	31	(	(	PUNCT
ejpam-5581	224	32	k	k	NOUN
ejpam-5581	224	33	)	)	PUNCT
ejpam-5581	224	34	)	)	PUNCT
ejpam-5581	224	35	4	4	NUM
ejpam-5581	224	36	and	and	CCONJ
ejpam-5581	224	37	(	(	PUNCT
ejpam-5581	224	38	∂yu	∂yu	PROPN
ejpam-5581	224	39	(	(	PUNCT
ejpam-5581	224	40	k	k	NOUN
ejpam-5581	224	41	)	)	PUNCT
ejpam-5581	224	42	)	)	PUNCT
ejpam-5581	224	43	6	6	NUM
ejpam-5581	224	44	with	with	ADP
ejpam-5581	224	45	n1(u	n1(u	X
ejpam-5581	224	46	(	(	PUNCT
ejpam-5581	224	47	k	k	NOUN
ejpam-5581	224	48	)	)	PUNCT
ejpam-5581	224	49	)	)	PUNCT
ejpam-5581	224	50	,	,	PUNCT
ejpam-5581	225	1	n2(u	n2(u	PROPN
ejpam-5581	225	2	(	(	PUNCT
ejpam-5581	225	3	k	k	NOUN
ejpam-5581	225	4	)	)	PUNCT
ejpam-5581	225	5	)	)	PUNCT
ejpam-5581	225	6	,	,	PUNCT
ejpam-5581	225	7	n3(u	n3(u	PROPN
ejpam-5581	225	8	(	(	PUNCT
ejpam-5581	225	9	k	k	NOUN
ejpam-5581	225	10	)	)	PUNCT
ejpam-5581	225	11	)	)	PUNCT
ejpam-5581	225	12	and	and	CCONJ
ejpam-5581	225	13	n4(u	n4(u	PROPN
ejpam-5581	225	14	(	(	PUNCT
ejpam-5581	225	15	k	k	NOUN
ejpam-5581	225	16	)	)	PUNCT
ejpam-5581	225	17	)	)	PUNCT
ejpam-5581	225	18	respectively	respectively	ADV
ejpam-5581	225	19	and	and	CCONJ
ejpam-5581	225	20	defining	define	VERB
ejpam-5581	225	21	one	one	NUM
ejpam-5581	225	22	fold	fold	NOUN
ejpam-5581	225	23	ly	ly	ADP
ejpam-5581	225	24	=	=	SYM
ejpam-5581	225	25	∂y	∂y	PROPN
ejpam-5581	225	26	and	and	CCONJ
ejpam-5581	225	27	two	two	NUM
ejpam-5581	225	28	fold	fold	ADJ
ejpam-5581	225	29	lyy	lyy	NOUN
ejpam-5581	225	30	=	=	PUNCT
ejpam-5581	225	31	∂yy	∂yy	NOUN
ejpam-5581	225	32	linear	linear	NOUN
ejpam-5581	225	33	invertible	invertible	ADJ
ejpam-5581	225	34	operators	operator	NOUN
ejpam-5581	225	35	as	as	SCONJ
ejpam-5581	225	36	shown	show	VERB
ejpam-5581	225	37	below	below	ADV
ejpam-5581	225	38	:	:	PUNCT
ejpam-5581	225	39	lyu	lyu	NOUN
ejpam-5581	225	40	(	(	PUNCT
ejpam-5581	225	41	k)(x	k)(x	PROPN
ejpam-5581	225	42	,	,	PUNCT
ejpam-5581	225	43	y	y	PROPN
ejpam-5581	225	44	)	)	PUNCT
ejpam-5581	225	45	=	=	SYM
ejpam-5581	225	46	g	g	PROPN
ejpam-5581	225	47	(	(	PUNCT
ejpam-5581	225	48	k	k	NOUN
ejpam-5581	225	49	)	)	PUNCT
ejpam-5581	225	50	1	1	NUM
ejpam-5581	225	51	[	[	PUNCT
ejpam-5581	225	52	n1(u	n1(u	X
ejpam-5581	225	53	(	(	PUNCT
ejpam-5581	225	54	k))ydxp−mn2(u	k))ydxp−mn2(u	PROPN
ejpam-5581	225	55	(	(	PUNCT
ejpam-5581	225	56	k	k	NOUN
ejpam-5581	225	57	)	)	PUNCT
ejpam-5581	225	58	)	)	PUNCT
ejpam-5581	225	59	]	]	PUNCT
ejpam-5581	226	1	+	+	CCONJ
ejpam-5581	226	2	ydxp	ydxp	NOUN
ejpam-5581	226	3	,	,	PUNCT
ejpam-5581	226	4	(	(	PUNCT
ejpam-5581	226	5	47	47	NUM
ejpam-5581	226	6	)	)	PUNCT
ejpam-5581	226	7	lyyt	lyyt	NOUN
ejpam-5581	226	8	(	(	PUNCT
ejpam-5581	226	9	k)(x	k)(x	PROPN
ejpam-5581	226	10	,	,	PUNCT
ejpam-5581	226	11	y	y	NOUN
ejpam-5581	226	12	)	)	PUNCT
ejpam-5581	226	13	=	=	SYM
ejpam-5581	226	14	−g	−g	NOUN
ejpam-5581	226	15	(	(	PUNCT
ejpam-5581	226	16	k	k	NOUN
ejpam-5581	226	17	)	)	PUNCT
ejpam-5581	226	18	2	2	NUM
ejpam-5581	226	19	[	[	PUNCT
ejpam-5581	226	20	n1(u	n1(u	X
ejpam-5581	226	21	(	(	PUNCT
ejpam-5581	226	22	k	k	NOUN
ejpam-5581	226	23	)	)	PUNCT
ejpam-5581	226	24	)	)	PUNCT
ejpam-5581	227	1	+	+	ADP
ejpam-5581	227	2	g	g	PROPN
ejpam-5581	227	3	(	(	PUNCT
ejpam-5581	227	4	k	k	NOUN
ejpam-5581	227	5	)	)	PUNCT
ejpam-5581	227	6	3	3	NUM
ejpam-5581	227	7	n3(u	n3(u	PROPN
ejpam-5581	227	8	(	(	PUNCT
ejpam-5581	227	9	k))−g	k))−g	NOUN
ejpam-5581	227	10	(	(	PUNCT
ejpam-5581	227	11	k	k	NOUN
ejpam-5581	227	12	)	)	PUNCT
ejpam-5581	227	13	4	4	NUM
ejpam-5581	227	14	n4(u	n4(u	PROPN
ejpam-5581	227	15	(	(	PUNCT
ejpam-5581	227	16	k	k	NOUN
ejpam-5581	227	17	)	)	PUNCT
ejpam-5581	227	18	)	)	PUNCT
ejpam-5581	227	19	]	]	PUNCT
ejpam-5581	227	20	,	,	PUNCT
ejpam-5581	227	21	(	(	PUNCT
ejpam-5581	227	22	48	48	NUM
ejpam-5581	227	23	)	)	PUNCT
ejpam-5581	227	24	lyyc	lyyc	NOUN
ejpam-5581	227	25	(	(	PUNCT
ejpam-5581	227	26	k)(x	k)(x	PROPN
ejpam-5581	227	27	,	,	PUNCT
ejpam-5581	227	28	y	y	PROPN
ejpam-5581	227	29	)	)	PUNCT
ejpam-5581	228	1	=	=	SYM
ejpam-5581	228	2	j	j	PROPN
ejpam-5581	228	3	(	(	PUNCT
ejpam-5581	228	4	k	k	NOUN
ejpam-5581	228	5	)	)	PUNCT
ejpam-5581	228	6	1	1	NUM
ejpam-5581	228	7	[	[	PUNCT
ejpam-5581	228	8	n1(u	n1(u	X
ejpam-5581	228	9	(	(	PUNCT
ejpam-5581	228	10	k	k	NOUN
ejpam-5581	228	11	)	)	PUNCT
ejpam-5581	228	12	)	)	PUNCT
ejpam-5581	229	1	+	+	ADP
ejpam-5581	229	2	g	g	PROPN
ejpam-5581	229	3	(	(	PUNCT
ejpam-5581	229	4	k	k	NOUN
ejpam-5581	229	5	)	)	PUNCT
ejpam-5581	229	6	3	3	NUM
ejpam-5581	229	7	n3(u	n3(u	PROPN
ejpam-5581	229	8	(	(	PUNCT
ejpam-5581	229	9	k))−g	k))−g	NOUN
ejpam-5581	229	10	(	(	PUNCT
ejpam-5581	229	11	k	k	NOUN
ejpam-5581	229	12	)	)	PUNCT
ejpam-5581	229	13	4	4	NUM
ejpam-5581	229	14	n4(u	n4(u	PROPN
ejpam-5581	229	15	(	(	PUNCT
ejpam-5581	229	16	k	k	NOUN
ejpam-5581	229	17	)	)	PUNCT
ejpam-5581	229	18	)	)	PUNCT
ejpam-5581	229	19	]	]	PUNCT
ejpam-5581	229	20	.	.	PUNCT
ejpam-5581	230	1	(	(	PUNCT
ejpam-5581	230	2	49	49	NUM
ejpam-5581	230	3	)	)	PUNCT
ejpam-5581	230	4	we	we	PRON
ejpam-5581	230	5	define	define	VERB
ejpam-5581	230	6	respectively	respectively	ADV
ejpam-5581	230	7	the	the	DET
ejpam-5581	230	8	inverse	inverse	NOUN
ejpam-5581	230	9	operators	operator	NOUN
ejpam-5581	230	10	of	of	ADP
ejpam-5581	230	11	one	one	NUM
ejpam-5581	230	12	ly	ly	ADP
ejpam-5581	230	13	and	and	CCONJ
ejpam-5581	230	14	two	two	NUM
ejpam-5581	230	15	lyy	lyy	ADJ
ejpam-5581	230	16	folds	fold	NOUN
ejpam-5581	230	17	operators	operator	NOUN
ejpam-5581	230	18	as	as	SCONJ
ejpam-5581	230	19	follows	follow	VERB
ejpam-5581	230	20	l−1	l−1	PROPN
ejpam-5581	230	21	y	y	PROPN
ejpam-5581	230	22	(	(	PUNCT
ejpam-5581	230	23	⋆	⋆	NOUN
ejpam-5581	230	24	)	)	PUNCT
ejpam-5581	230	25	=	=	SYM
ejpam-5581	230	26	∫	∫	PROPN
ejpam-5581	230	27	(	(	PUNCT
ejpam-5581	230	28	⋆)dy	⋆)dy	PROPN
ejpam-5581	230	29	,	,	PUNCT
ejpam-5581	230	30	(	(	PUNCT
ejpam-5581	230	31	50	50	NUM
ejpam-5581	230	32	)	)	PUNCT
ejpam-5581	230	33	l−1	l−1	PROPN
ejpam-5581	230	34	yy	yy	PROPN
ejpam-5581	230	35	(	(	PUNCT
ejpam-5581	230	36	⋆	⋆	NOUN
ejpam-5581	230	37	)	)	PUNCT
ejpam-5581	230	38	=	=	SYM
ejpam-5581	231	1	∫	∫	PROPN
ejpam-5581	231	2	∫	∫	PROPN
ejpam-5581	231	3	(	(	PUNCT
ejpam-5581	231	4	⋆)dydy	⋆)dydy	PROPN
ejpam-5581	231	5	.	.	PUNCT
ejpam-5581	231	6	(	(	PUNCT
ejpam-5581	231	7	51	51	NUM
ejpam-5581	231	8	)	)	PUNCT
ejpam-5581	231	9	following	follow	VERB
ejpam-5581	231	10	the	the	DET
ejpam-5581	231	11	application	application	NOUN
ejpam-5581	231	12	of	of	ADP
ejpam-5581	231	13	the	the	DET
ejpam-5581	231	14	inverse	inverse	NOUN
ejpam-5581	231	15	operators	operator	NOUN
ejpam-5581	231	16	(	(	PUNCT
ejpam-5581	231	17	50	50	NUM
ejpam-5581	231	18	)	)	PUNCT
ejpam-5581	231	19	and	and	CCONJ
ejpam-5581	231	20	(	(	PUNCT
ejpam-5581	231	21	51	51	NUM
ejpam-5581	231	22	)	)	PUNCT
ejpam-5581	231	23	respectively	respectively	ADV
ejpam-5581	231	24	to	to	ADP
ejpam-5581	231	25	eq	eq	PROPN
ejpam-5581	231	26	.	.	PUNCT
ejpam-5581	231	27	(	(	PUNCT
ejpam-5581	231	28	47	47	NUM
ejpam-5581	231	29	)	)	PUNCT
ejpam-5581	231	30	and	and	CCONJ
ejpam-5581	231	31	eqs	eqs	PROPN
ejpam-5581	231	32	.	.	PUNCT
ejpam-5581	231	33	(	(	PUNCT
ejpam-5581	231	34	48	48	NUM
ejpam-5581	231	35	)	)	PUNCT
ejpam-5581	231	36	and	and	CCONJ
ejpam-5581	231	37	(	(	PUNCT
ejpam-5581	231	38	49	49	NUM
ejpam-5581	231	39	)	)	PUNCT
ejpam-5581	231	40	,	,	PUNCT
ejpam-5581	231	41	one	one	PRON
ejpam-5581	231	42	acquires	acquire	VERB
ejpam-5581	231	43	u(k)(x	u(k)(x	PROPN
ejpam-5581	231	44	,	,	PUNCT
ejpam-5581	231	45	y	y	PROPN
ejpam-5581	231	46	)	)	PUNCT
ejpam-5581	231	47	=	=	SYM
ejpam-5581	231	48	g	g	PROPN
ejpam-5581	231	49	(	(	PUNCT
ejpam-5581	231	50	k	k	NOUN
ejpam-5581	231	51	)	)	PUNCT
ejpam-5581	231	52	1	1	NUM
ejpam-5581	231	53	[	[	PUNCT
ejpam-5581	231	54	dxpl	dxpl	PROPN
ejpam-5581	231	55	−1	−1	NOUN
ejpam-5581	231	56	y	y	PROPN
ejpam-5581	231	57	n1(u	n1(u	SYM
ejpam-5581	231	58	(	(	PUNCT
ejpam-5581	231	59	k))y	k))y	NOUN
ejpam-5581	231	60	−ml−1	−ml−1	PROPN
ejpam-5581	231	61	y	y	PROPN
ejpam-5581	231	62	n2(u	n2(u	PROPN
ejpam-5581	231	63	(	(	PUNCT
ejpam-5581	231	64	k	k	NOUN
ejpam-5581	231	65	)	)	PUNCT
ejpam-5581	231	66	)	)	PUNCT
ejpam-5581	231	67	]	]	PUNCT
ejpam-5581	232	1	+	+	CCONJ
ejpam-5581	232	2	y2	y2	PROPN
ejpam-5581	232	3	2	2	NUM
ejpam-5581	232	4	dxp+d	dxp+d	SYM
ejpam-5581	232	5	(	(	PUNCT
ejpam-5581	232	6	k	k	NOUN
ejpam-5581	232	7	)	)	PUNCT
ejpam-5581	232	8	1	1	NUM
ejpam-5581	232	9	(	(	PUNCT
ejpam-5581	232	10	x	x	NOUN
ejpam-5581	232	11	)	)	PUNCT
ejpam-5581	232	12	,	,	PUNCT
ejpam-5581	232	13	(	(	PUNCT
ejpam-5581	232	14	52	52	NUM
ejpam-5581	232	15	)	)	PUNCT
ejpam-5581	232	16	t	t	NOUN
ejpam-5581	232	17	(	(	PUNCT
ejpam-5581	232	18	k)(x	k)(x	PROPN
ejpam-5581	232	19	,	,	PUNCT
ejpam-5581	232	20	y	y	NOUN
ejpam-5581	232	21	)	)	PUNCT
ejpam-5581	232	22	=	=	SYM
ejpam-5581	232	23	−g	−g	NOUN
ejpam-5581	232	24	(	(	PUNCT
ejpam-5581	232	25	k	k	NOUN
ejpam-5581	232	26	)	)	PUNCT
ejpam-5581	232	27	2	2	NUM
ejpam-5581	232	28	[	[	PUNCT
ejpam-5581	232	29	l−1	l−1	PROPN
ejpam-5581	232	30	yy	yy	NOUN
ejpam-5581	232	31	n1(u	n1(u	SYM
ejpam-5581	232	32	(	(	PUNCT
ejpam-5581	232	33	k	k	NOUN
ejpam-5581	232	34	)	)	PUNCT
ejpam-5581	232	35	)	)	PUNCT
ejpam-5581	233	1	+	+	ADP
ejpam-5581	233	2	g	g	PROPN
ejpam-5581	233	3	(	(	PUNCT
ejpam-5581	233	4	k	k	NOUN
ejpam-5581	233	5	)	)	PUNCT
ejpam-5581	233	6	3	3	NUM
ejpam-5581	233	7	l−1	l−1	NOUN
ejpam-5581	233	8	yy	yy	NOUN
ejpam-5581	233	9	n3(u	n3(u	INTJ
ejpam-5581	233	10	(	(	PUNCT
ejpam-5581	233	11	k))−g	k))−g	PROPN
ejpam-5581	233	12	(	(	PUNCT
ejpam-5581	233	13	k	k	NOUN
ejpam-5581	233	14	)	)	PUNCT
ejpam-5581	233	15	4	4	NUM
ejpam-5581	233	16	l−1	l−1	NOUN
ejpam-5581	233	17	yy	yy	NOUN
ejpam-5581	233	18	n4(u	n4(u	PROPN
ejpam-5581	233	19	(	(	PUNCT
ejpam-5581	233	20	k	k	NOUN
ejpam-5581	233	21	)	)	PUNCT
ejpam-5581	233	22	)	)	PUNCT
ejpam-5581	233	23	]	]	PUNCT
ejpam-5581	234	1	+	+	PUNCT
ejpam-5581	234	2	d	d	X
ejpam-5581	234	3	(	(	PUNCT
ejpam-5581	234	4	k	k	NOUN
ejpam-5581	234	5	)	)	PUNCT
ejpam-5581	234	6	2	2	NUM
ejpam-5581	234	7	(	(	PUNCT
ejpam-5581	234	8	x)y+d	x)y+d	PROPN
ejpam-5581	234	9	(	(	PUNCT
ejpam-5581	234	10	k	k	NOUN
ejpam-5581	234	11	)	)	PUNCT
ejpam-5581	234	12	3	3	NUM
ejpam-5581	234	13	(	(	PUNCT
ejpam-5581	234	14	x	x	NOUN
ejpam-5581	234	15	)	)	PUNCT
ejpam-5581	234	16	,	,	PUNCT
ejpam-5581	234	17	(	(	PUNCT
ejpam-5581	234	18	53	53	NUM
ejpam-5581	234	19	)	)	PUNCT
ejpam-5581	234	20	c(k)(x	c(k)(x	NOUN
ejpam-5581	234	21	,	,	PUNCT
ejpam-5581	234	22	y	y	NOUN
ejpam-5581	234	23	)	)	PUNCT
ejpam-5581	234	24	=	=	SYM
ejpam-5581	234	25	j	j	PROPN
ejpam-5581	234	26	(	(	PUNCT
ejpam-5581	234	27	k	k	NOUN
ejpam-5581	234	28	)	)	PUNCT
ejpam-5581	234	29	1	1	NUM
ejpam-5581	234	30	[	[	PUNCT
ejpam-5581	234	31	l−1	l−1	PROPN
ejpam-5581	234	32	yy	yy	NOUN
ejpam-5581	234	33	n1(u	n1(u	SYM
ejpam-5581	234	34	(	(	PUNCT
ejpam-5581	234	35	k	k	NOUN
ejpam-5581	234	36	)	)	PUNCT
ejpam-5581	234	37	)	)	PUNCT
ejpam-5581	235	1	+	+	ADP
ejpam-5581	235	2	g	g	PROPN
ejpam-5581	235	3	(	(	PUNCT
ejpam-5581	235	4	k	k	NOUN
ejpam-5581	235	5	)	)	PUNCT
ejpam-5581	235	6	3	3	NUM
ejpam-5581	235	7	l−1	l−1	NOUN
ejpam-5581	235	8	yy	yy	NOUN
ejpam-5581	235	9	n3(u	n3(u	INTJ
ejpam-5581	235	10	(	(	PUNCT
ejpam-5581	235	11	k))−g	k))−g	PROPN
ejpam-5581	235	12	(	(	PUNCT
ejpam-5581	235	13	k	k	NOUN
ejpam-5581	235	14	)	)	PUNCT
ejpam-5581	235	15	4	4	NUM
ejpam-5581	235	16	l−1	l−1	NOUN
ejpam-5581	235	17	yy	yy	NOUN
ejpam-5581	235	18	n4(u	n4(u	PROPN
ejpam-5581	235	19	(	(	PUNCT
ejpam-5581	235	20	k	k	NOUN
ejpam-5581	235	21	)	)	PUNCT
ejpam-5581	235	22	)	)	PUNCT
ejpam-5581	235	23	]	]	PUNCT
ejpam-5581	236	1	+	+	PUNCT
ejpam-5581	236	2	d	d	X
ejpam-5581	236	3	(	(	PUNCT
ejpam-5581	236	4	k	k	NOUN
ejpam-5581	236	5	)	)	PUNCT
ejpam-5581	236	6	4	4	NUM
ejpam-5581	236	7	(	(	PUNCT
ejpam-5581	236	8	x)y+d	x)y+d	PROPN
ejpam-5581	236	9	(	(	PUNCT
ejpam-5581	236	10	k	k	NOUN
ejpam-5581	236	11	)	)	PUNCT
ejpam-5581	236	12	5	5	NUM
ejpam-5581	236	13	(	(	PUNCT
ejpam-5581	236	14	x	x	NOUN
ejpam-5581	236	15	)	)	PUNCT
ejpam-5581	236	16	.	.	PUNCT
ejpam-5581	237	1	(	(	PUNCT
ejpam-5581	237	2	54	54	NUM
ejpam-5581	237	3	)	)	PUNCT
ejpam-5581	237	4	a.	a.	NOUN
ejpam-5581	237	5	alaidrous	alaidrous	PROPN
ejpam-5581	237	6	,	,	PUNCT
ejpam-5581	237	7	h.	h.	PROPN
ejpam-5581	237	8	ashraf	ashraf	PROPN
ejpam-5581	237	9	/	/	SYM
ejpam-5581	237	10	eur	eur	PROPN
ejpam-5581	237	11	.	.	PUNCT
ejpam-5581	238	1	j.	j.	PROPN
ejpam-5581	238	2	pure	pure	PROPN
ejpam-5581	238	3	appl	appl	PROPN
ejpam-5581	238	4	.	.	PROPN
ejpam-5581	238	5	math	math	PROPN
ejpam-5581	238	6	,	,	PUNCT
ejpam-5581	238	7	18	18	NUM
ejpam-5581	238	8	(	(	PUNCT
ejpam-5581	238	9	1	1	NUM
ejpam-5581	238	10	)	)	PUNCT
ejpam-5581	238	11	(	(	PUNCT
ejpam-5581	238	12	2025	2025	NUM
ejpam-5581	238	13	)	)	PUNCT
ejpam-5581	238	14	,	,	PUNCT
ejpam-5581	238	15	5581	5581	NUM
ejpam-5581	238	16	12	12	NUM
ejpam-5581	238	17	of	of	ADP
ejpam-5581	238	18	30	30	NUM
ejpam-5581	238	19	here	here	ADV
ejpam-5581	238	20	,	,	PUNCT
ejpam-5581	238	21	d	d	X
ejpam-5581	238	22	(	(	PUNCT
ejpam-5581	238	23	k	k	NOUN
ejpam-5581	238	24	)	)	PUNCT
ejpam-5581	238	25	1	1	NUM
ejpam-5581	238	26	(	(	PUNCT
ejpam-5581	238	27	x	x	NOUN
ejpam-5581	238	28	)	)	PUNCT
ejpam-5581	238	29	,	,	PUNCT
ejpam-5581	239	1	d	d	X
ejpam-5581	239	2	(	(	PUNCT
ejpam-5581	239	3	k	k	NOUN
ejpam-5581	239	4	)	)	PUNCT
ejpam-5581	239	5	2	2	NUM
ejpam-5581	239	6	(	(	PUNCT
ejpam-5581	239	7	x	x	NOUN
ejpam-5581	239	8	)	)	PUNCT
ejpam-5581	239	9	,	,	PUNCT
ejpam-5581	239	10	d	d	X
ejpam-5581	239	11	(	(	PUNCT
ejpam-5581	239	12	k	k	NOUN
ejpam-5581	239	13	)	)	PUNCT
ejpam-5581	239	14	3	3	NUM
ejpam-5581	239	15	(	(	PUNCT
ejpam-5581	239	16	x	x	NOUN
ejpam-5581	239	17	)	)	PUNCT
ejpam-5581	239	18	,	,	PUNCT
ejpam-5581	239	19	d	d	X
ejpam-5581	239	20	(	(	PUNCT
ejpam-5581	239	21	k	k	NOUN
ejpam-5581	239	22	)	)	PUNCT
ejpam-5581	239	23	4	4	NUM
ejpam-5581	239	24	(	(	PUNCT
ejpam-5581	239	25	x	x	NOUN
ejpam-5581	239	26	)	)	PUNCT
ejpam-5581	239	27	and	and	CCONJ
ejpam-5581	239	28	d	d	X
ejpam-5581	239	29	(	(	PUNCT
ejpam-5581	239	30	k	k	NOUN
ejpam-5581	239	31	)	)	PUNCT
ejpam-5581	239	32	5	5	NUM
ejpam-5581	239	33	(	(	PUNCT
ejpam-5581	239	34	x	x	X
ejpam-5581	239	35	)	)	PUNCT
ejpam-5581	239	36	represent	represent	VERB
ejpam-5581	239	37	the	the	DET
ejpam-5581	239	38	arbitrary	arbitrary	ADJ
ejpam-5581	239	39	functions	function	NOUN
ejpam-5581	239	40	.	.	PUNCT
ejpam-5581	240	1	the	the	DET
ejpam-5581	240	2	uk(x	uk(x	PROPN
ejpam-5581	240	3	,	,	PUNCT
ejpam-5581	240	4	y	y	NOUN
ejpam-5581	240	5	)	)	PUNCT
ejpam-5581	240	6	,	,	PUNCT
ejpam-5581	240	7	vk(x	vk(x	PROPN
ejpam-5581	240	8	,	,	PUNCT
ejpam-5581	240	9	y	y	NOUN
ejpam-5581	240	10	)	)	PUNCT
ejpam-5581	240	11	,	,	PUNCT
ejpam-5581	240	12	dxp	dxp	PROPN
ejpam-5581	240	13	,	,	PUNCT
ejpam-5581	240	14	t	t	PROPN
ejpam-5581	240	15	k(x	k(x	PROPN
ejpam-5581	240	16	,	,	PUNCT
ejpam-5581	240	17	y	y	NOUN
ejpam-5581	240	18	)	)	PUNCT
ejpam-5581	240	19	,	,	PUNCT
ejpam-5581	240	20	and	and	CCONJ
ejpam-5581	240	21	ck(x	ck(x	PROPN
ejpam-5581	240	22	,	,	PUNCT
ejpam-5581	240	23	y	y	NOUN
ejpam-5581	240	24	)	)	PUNCT
ejpam-5581	240	25	are	be	AUX
ejpam-5581	240	26	now	now	ADV
ejpam-5581	240	27	decomposed	decompose	VERB
ejpam-5581	240	28	as	as	SCONJ
ejpam-5581	240	29	follows	follow	VERB
ejpam-5581	240	30	:	:	PUNCT
ejpam-5581	240	31	u(k)(x	u(k)(x	PROPN
ejpam-5581	240	32	,	,	PUNCT
ejpam-5581	240	33	y	y	NOUN
ejpam-5581	240	34	)	)	PUNCT
ejpam-5581	240	35	=	=	NOUN
ejpam-5581	241	1	∞∑	∞∑	NUM
ejpam-5581	241	2	i=0	i=0	PROPN
ejpam-5581	241	3	u	u	NOUN
ejpam-5581	241	4	(	(	PUNCT
ejpam-5581	241	5	k	k	NOUN
ejpam-5581	241	6	)	)	PUNCT
ejpam-5581	241	7	i	i	PRON
ejpam-5581	241	8	(	(	PUNCT
ejpam-5581	241	9	x	x	X
ejpam-5581	241	10	,	,	PUNCT
ejpam-5581	241	11	y	y	PROPN
ejpam-5581	241	12	)	)	PUNCT
ejpam-5581	241	13	,	,	PUNCT
ejpam-5581	241	14	(	(	PUNCT
ejpam-5581	241	15	55	55	NUM
ejpam-5581	241	16	)	)	PUNCT
ejpam-5581	241	17	v(k)(x	v(k)(x	NOUN
ejpam-5581	241	18	,	,	PUNCT
ejpam-5581	241	19	y	y	NOUN
ejpam-5581	241	20	)	)	PUNCT
ejpam-5581	241	21	=	=	PUNCT
ejpam-5581	242	1	∞∑	∞∑	NUM
ejpam-5581	242	2	i=0	i=0	PROPN
ejpam-5581	242	3	v	v	X
ejpam-5581	242	4	(	(	PUNCT
ejpam-5581	242	5	k	k	NOUN
ejpam-5581	242	6	)	)	PUNCT
ejpam-5581	242	7	i	i	PRON
ejpam-5581	242	8	(	(	PUNCT
ejpam-5581	242	9	x	x	X
ejpam-5581	242	10	,	,	PUNCT
ejpam-5581	242	11	y	y	PROPN
ejpam-5581	242	12	)	)	PUNCT
ejpam-5581	242	13	,	,	PUNCT
ejpam-5581	242	14	(	(	PUNCT
ejpam-5581	242	15	56	56	X
ejpam-5581	242	16	)	)	PUNCT
ejpam-5581	242	17	dxp	dxp	NOUN
ejpam-5581	242	18	=	=	PUNCT
ejpam-5581	242	19	∞∑	∞∑	NUM
ejpam-5581	242	20	i=0	i=0	PROPN
ejpam-5581	242	21	dxpi	dxpi	NOUN
ejpam-5581	242	22	,	,	PUNCT
ejpam-5581	242	23	(	(	PUNCT
ejpam-5581	242	24	57	57	NUM
ejpam-5581	242	25	)	)	PUNCT
ejpam-5581	242	26	t	t	NOUN
ejpam-5581	242	27	(	(	PUNCT
ejpam-5581	242	28	k)(x	k)(x	PROPN
ejpam-5581	242	29	,	,	PUNCT
ejpam-5581	242	30	y	y	NOUN
ejpam-5581	242	31	)	)	PUNCT
ejpam-5581	242	32	=	=	PUNCT
ejpam-5581	243	1	∞∑	∞∑	NUM
ejpam-5581	243	2	i=0	i=0	PROPN
ejpam-5581	243	3	t	t	PROPN
ejpam-5581	243	4	(	(	PUNCT
ejpam-5581	243	5	k	k	X
ejpam-5581	243	6	)	)	PUNCT
ejpam-5581	243	7	i	i	PRON
ejpam-5581	243	8	(	(	PUNCT
ejpam-5581	243	9	x	x	X
ejpam-5581	243	10	,	,	PUNCT
ejpam-5581	243	11	y	y	PROPN
ejpam-5581	243	12	)	)	PUNCT
ejpam-5581	243	13	,	,	PUNCT
ejpam-5581	243	14	(	(	PUNCT
ejpam-5581	243	15	58	58	X
ejpam-5581	243	16	)	)	PUNCT
ejpam-5581	243	17	c(k)(x	c(k)(x	NOUN
ejpam-5581	243	18	,	,	PUNCT
ejpam-5581	243	19	y	y	NOUN
ejpam-5581	243	20	)	)	PUNCT
ejpam-5581	243	21	=	=	PUNCT
ejpam-5581	244	1	∞∑	∞∑	NUM
ejpam-5581	244	2	i=0	i=0	PROPN
ejpam-5581	244	3	c	c	X
ejpam-5581	244	4	(	(	PUNCT
ejpam-5581	244	5	k	k	NOUN
ejpam-5581	244	6	)	)	PUNCT
ejpam-5581	244	7	i	i	PRON
ejpam-5581	244	8	(	(	PUNCT
ejpam-5581	244	9	x	x	X
ejpam-5581	244	10	,	,	PUNCT
ejpam-5581	244	11	y	y	PROPN
ejpam-5581	244	12	)	)	PUNCT
ejpam-5581	244	13	.	.	PUNCT
ejpam-5581	245	1	(	(	PUNCT
ejpam-5581	245	2	59	59	NUM
ejpam-5581	245	3	)	)	PUNCT
ejpam-5581	245	4	the	the	DET
ejpam-5581	245	5	nonlinear	nonlinear	ADJ
ejpam-5581	245	6	terms	term	NOUN
ejpam-5581	245	7	n1(u	n1(u	X
ejpam-5581	245	8	(	(	PUNCT
ejpam-5581	245	9	k	k	NOUN
ejpam-5581	245	10	)	)	PUNCT
ejpam-5581	245	11	)	)	PUNCT
ejpam-5581	245	12	,	,	PUNCT
ejpam-5581	246	1	n2(u	n2(u	PROPN
ejpam-5581	246	2	(	(	PUNCT
ejpam-5581	246	3	k	k	NOUN
ejpam-5581	246	4	)	)	PUNCT
ejpam-5581	246	5	)	)	PUNCT
ejpam-5581	246	6	,	,	PUNCT
ejpam-5581	246	7	n3(u	n3(u	PROPN
ejpam-5581	246	8	(	(	PUNCT
ejpam-5581	246	9	k	k	NOUN
ejpam-5581	246	10	)	)	PUNCT
ejpam-5581	246	11	)	)	PUNCT
ejpam-5581	246	12	,	,	PUNCT
ejpam-5581	246	13	and	and	CCONJ
ejpam-5581	246	14	n4(u	n4(u	PROPN
ejpam-5581	246	15	(	(	PUNCT
ejpam-5581	246	16	k	k	NOUN
ejpam-5581	246	17	)	)	PUNCT
ejpam-5581	246	18	)	)	PUNCT
ejpam-5581	246	19	are	be	AUX
ejpam-5581	246	20	now	now	ADV
ejpam-5581	246	21	expanded	expand	VERB
ejpam-5581	246	22	with	with	ADP
ejpam-5581	246	23	the	the	DET
ejpam-5581	246	24	following	follow	VERB
ejpam-5581	246	25	form	form	NOUN
ejpam-5581	246	26	of	of	ADP
ejpam-5581	246	27	infinite	infinite	ADJ
ejpam-5581	246	28	series	series	NOUN
ejpam-5581	246	29	of	of	ADP
ejpam-5581	246	30	adomian	adomian	NOUN
ejpam-5581	246	31	polynomials	polynomial	NOUN
ejpam-5581	246	32	:	:	PUNCT
ejpam-5581	246	33	n1(u	n1(u	NUM
ejpam-5581	246	34	(	(	PUNCT
ejpam-5581	246	35	k	k	NOUN
ejpam-5581	246	36	)	)	PUNCT
ejpam-5581	246	37	)	)	PUNCT
ejpam-5581	247	1	=	=	PUNCT
ejpam-5581	248	1	∞∑	∞∑	NUM
ejpam-5581	248	2	i=0	i=0	PROPN
ejpam-5581	248	3	a	a	DET
ejpam-5581	248	4	(	(	PUNCT
ejpam-5581	248	5	k	k	NOUN
ejpam-5581	248	6	)	)	PUNCT
ejpam-5581	248	7	i	i	PRON
ejpam-5581	248	8	,	,	PUNCT
ejpam-5581	248	9	n2(u	n2(u	PROPN
ejpam-5581	248	10	(	(	PUNCT
ejpam-5581	248	11	k	k	NOUN
ejpam-5581	248	12	)	)	PUNCT
ejpam-5581	248	13	)	)	PUNCT
ejpam-5581	249	1	=	=	PUNCT
ejpam-5581	250	1	∞∑	∞∑	NUM
ejpam-5581	250	2	i=0	i=0	PROPN
ejpam-5581	250	3	b	b	PROPN
ejpam-5581	250	4	(	(	PUNCT
ejpam-5581	250	5	k	k	NOUN
ejpam-5581	250	6	)	)	PUNCT
ejpam-5581	250	7	i	i	PRON
ejpam-5581	250	8	,	,	PUNCT
ejpam-5581	250	9	n3(u	n3(u	PROPN
ejpam-5581	250	10	(	(	PUNCT
ejpam-5581	250	11	k	k	NOUN
ejpam-5581	250	12	)	)	PUNCT
ejpam-5581	250	13	)	)	PUNCT
ejpam-5581	251	1	=	=	PUNCT
ejpam-5581	252	1	∞∑	∞∑	NUM
ejpam-5581	252	2	i=0	i=0	PROPN
ejpam-5581	252	3	e	e	X
ejpam-5581	252	4	(	(	PUNCT
ejpam-5581	252	5	k	k	X
ejpam-5581	252	6	)	)	PUNCT
ejpam-5581	252	7	i	i	PRON
ejpam-5581	252	8	,	,	PUNCT
ejpam-5581	252	9	n4(u	n4(u	PROPN
ejpam-5581	252	10	(	(	PUNCT
ejpam-5581	252	11	k	k	NOUN
ejpam-5581	252	12	)	)	PUNCT
ejpam-5581	252	13	)	)	PUNCT
ejpam-5581	253	1	=	=	PUNCT
ejpam-5581	254	1	∞∑	∞∑	NUM
ejpam-5581	254	2	i=0	i=0	PROPN
ejpam-5581	254	3	f	f	X
ejpam-5581	254	4	(	(	PUNCT
ejpam-5581	254	5	k	k	NOUN
ejpam-5581	254	6	)	)	PUNCT
ejpam-5581	254	7	i	i	PRON
ejpam-5581	254	8	.	.	PUNCT
ejpam-5581	255	1	(	(	PUNCT
ejpam-5581	255	2	60	60	NUM
ejpam-5581	255	3	)	)	PUNCT
ejpam-5581	255	4	after	after	ADP
ejpam-5581	255	5	inserting	insert	VERB
ejpam-5581	255	6	the	the	DET
ejpam-5581	255	7	adomian	adomian	NOUN
ejpam-5581	255	8	polynomials	polynomial	NOUN
ejpam-5581	255	9	(	(	PUNCT
ejpam-5581	255	10	60	60	NUM
ejpam-5581	255	11	)	)	PUNCT
ejpam-5581	255	12	and	and	CCONJ
ejpam-5581	255	13	the	the	DET
ejpam-5581	255	14	series	series	NOUN
ejpam-5581	255	15	of	of	ADP
ejpam-5581	255	16	decomposition	decomposition	NOUN
ejpam-5581	255	17	(	(	PUNCT
ejpam-5581	255	18	55)-(59	55)-(59	NOUN
ejpam-5581	255	19	)	)	PUNCT
ejpam-5581	255	20	into	into	ADP
ejpam-5581	255	21	eqs	eqs	PROPN
ejpam-5581	255	22	.	.	PUNCT
ejpam-5581	256	1	(	(	PUNCT
ejpam-5581	256	2	52)-(54	52)-(54	NOUN
ejpam-5581	256	3	)	)	PUNCT
ejpam-5581	256	4	,	,	PUNCT
ejpam-5581	256	5	we	we	PRON
ejpam-5581	256	6	finally	finally	ADV
ejpam-5581	256	7	get	get	VERB
ejpam-5581	256	8	u	u	PRON
ejpam-5581	256	9	(	(	PUNCT
ejpam-5581	256	10	k	k	NOUN
ejpam-5581	256	11	)	)	PUNCT
ejpam-5581	256	12	0	0	NUM
ejpam-5581	257	1	(	(	PUNCT
ejpam-5581	257	2	x	x	X
ejpam-5581	257	3	,	,	PUNCT
ejpam-5581	257	4	y)+	y)+	VERB
ejpam-5581	258	1	∞∑	∞∑	NUM
ejpam-5581	258	2	i=1	i=1	PROPN
ejpam-5581	258	3	u	u	PROPN
ejpam-5581	258	4	(	(	PUNCT
ejpam-5581	258	5	k	k	NOUN
ejpam-5581	258	6	)	)	PUNCT
ejpam-5581	258	7	i	i	PRON
ejpam-5581	258	8	(	(	PUNCT
ejpam-5581	258	9	x	x	X
ejpam-5581	258	10	,	,	PUNCT
ejpam-5581	258	11	y	y	NOUN
ejpam-5581	258	12	)	)	PUNCT
ejpam-5581	258	13	=	=	SYM
ejpam-5581	259	1	d	d	X
ejpam-5581	259	2	(	(	PUNCT
ejpam-5581	259	3	k	k	NOUN
ejpam-5581	259	4	)	)	PUNCT
ejpam-5581	259	5	1	1	NUM
ejpam-5581	259	6	(	(	PUNCT
ejpam-5581	259	7	x)+	x)+	NUM
ejpam-5581	259	8	y2	y2	NOUN
ejpam-5581	259	9	2	2	NUM
ejpam-5581	260	1	dxp0+g	dxp0+g	PROPN
ejpam-5581	260	2	(	(	PUNCT
ejpam-5581	260	3	k	k	NOUN
ejpam-5581	260	4	)	)	PUNCT
ejpam-5581	260	5	1	1	NUM
ejpam-5581	260	6	[	[	PUNCT
ejpam-5581	260	7	dxpl	dxpl	PROPN
ejpam-5581	260	8	−1	−1	NOUN
ejpam-5581	260	9	y	y	PROPN
ejpam-5581	260	10	∞∑	∞∑	PROPN
ejpam-5581	260	11	i=0	i=0	PROPN
ejpam-5581	260	12	a	a	DET
ejpam-5581	260	13	(	(	PUNCT
ejpam-5581	260	14	k	k	NOUN
ejpam-5581	260	15	)	)	PUNCT
ejpam-5581	260	16	i	i	PRON
ejpam-5581	260	17	y	y	PROPN
ejpam-5581	260	18	−ml−1	−ml−1	NOUN
ejpam-5581	260	19	y	y	PROPN
ejpam-5581	261	1	∞∑	∞∑	PROPN
ejpam-5581	261	2	i=0	i=0	PROPN
ejpam-5581	261	3	b	b	PROPN
ejpam-5581	261	4	(	(	PUNCT
ejpam-5581	261	5	k	k	NOUN
ejpam-5581	261	6	)	)	PUNCT
ejpam-5581	261	7	i	i	PRON
ejpam-5581	261	8	]	]	PUNCT
ejpam-5581	261	9	,	,	PUNCT
ejpam-5581	261	10	(	(	PUNCT
ejpam-5581	261	11	61	61	NUM
ejpam-5581	261	12	)	)	PUNCT
ejpam-5581	261	13	t	t	NOUN
ejpam-5581	261	14	(	(	PUNCT
ejpam-5581	261	15	k	k	NOUN
ejpam-5581	261	16	)	)	PUNCT
ejpam-5581	261	17	0	0	PUNCT
ejpam-5581	262	1	(	(	PUNCT
ejpam-5581	262	2	y	y	NOUN
ejpam-5581	262	3	)	)	PUNCT
ejpam-5581	263	1	+	+	CCONJ
ejpam-5581	264	1	∞∑	∞∑	NUM
ejpam-5581	264	2	i=1	i=1	PROPN
ejpam-5581	264	3	t	t	PROPN
ejpam-5581	264	4	(	(	PUNCT
ejpam-5581	264	5	k	k	X
ejpam-5581	264	6	)	)	PUNCT
ejpam-5581	264	7	i	i	PRON
ejpam-5581	264	8	(	(	PUNCT
ejpam-5581	264	9	x	x	X
ejpam-5581	264	10	,	,	PUNCT
ejpam-5581	264	11	y	y	NOUN
ejpam-5581	264	12	)	)	PUNCT
ejpam-5581	264	13	=	=	SYM
ejpam-5581	265	1	d	d	X
ejpam-5581	265	2	(	(	PUNCT
ejpam-5581	265	3	k	k	NOUN
ejpam-5581	265	4	)	)	PUNCT
ejpam-5581	265	5	2	2	NUM
ejpam-5581	265	6	(	(	PUNCT
ejpam-5581	265	7	x)y	x)y	PUNCT
ejpam-5581	266	1	+	+	PUNCT
ejpam-5581	266	2	d	d	PROPN
ejpam-5581	266	3	(	(	PUNCT
ejpam-5581	266	4	k	k	NOUN
ejpam-5581	266	5	)	)	PUNCT
ejpam-5581	266	6	3	3	NUM
ejpam-5581	266	7	(	(	PUNCT
ejpam-5581	266	8	x)−g	x)−g	PROPN
ejpam-5581	266	9	(	(	PUNCT
ejpam-5581	266	10	k	k	NOUN
ejpam-5581	266	11	)	)	PUNCT
ejpam-5581	266	12	2	2	NUM
ejpam-5581	266	13	[	[	PUNCT
ejpam-5581	266	14	l−1	l−1	PROPN
ejpam-5581	266	15	yy	yy	NOUN
ejpam-5581	266	16	∞∑	∞∑	DET
ejpam-5581	266	17	i=0	i=0	PROPN
ejpam-5581	266	18	a	a	DET
ejpam-5581	266	19	(	(	PUNCT
ejpam-5581	266	20	k	k	NOUN
ejpam-5581	266	21	)	)	PUNCT
ejpam-5581	266	22	i	i	PRON
ejpam-5581	267	1	+	+	PROPN
ejpam-5581	267	2	g	g	PROPN
ejpam-5581	267	3	(	(	PUNCT
ejpam-5581	267	4	k	k	NOUN
ejpam-5581	267	5	)	)	PUNCT
ejpam-5581	267	6	3	3	NUM
ejpam-5581	267	7	l−1	l−1	NOUN
ejpam-5581	267	8	yy	yy	NOUN
ejpam-5581	267	9	∞∑	∞∑	DET
ejpam-5581	267	10	i=0	i=0	PROPN
ejpam-5581	267	11	e	e	X
ejpam-5581	267	12	(	(	PUNCT
ejpam-5581	267	13	k	k	X
ejpam-5581	267	14	)	)	PUNCT
ejpam-5581	267	15	i	i	PRON
ejpam-5581	267	16	−g	−g	VERB
ejpam-5581	267	17	(	(	PUNCT
ejpam-5581	267	18	k	k	NOUN
ejpam-5581	267	19	)	)	PUNCT
ejpam-5581	267	20	4	4	NUM
ejpam-5581	267	21	l−1	l−1	NOUN
ejpam-5581	267	22	yy	yy	NOUN
ejpam-5581	268	1	∞∑	∞∑	PRON
ejpam-5581	268	2	i=0	i=0	PROPN
ejpam-5581	268	3	f	f	X
ejpam-5581	268	4	(	(	PUNCT
ejpam-5581	268	5	k	k	X
ejpam-5581	268	6	)	)	PUNCT
ejpam-5581	268	7	i	i	PRON
ejpam-5581	268	8	]	]	PUNCT
ejpam-5581	268	9	,	,	PUNCT
ejpam-5581	268	10	(	(	PUNCT
ejpam-5581	268	11	62	62	NUM
ejpam-5581	268	12	)	)	PUNCT
ejpam-5581	268	13	c	c	NOUN
ejpam-5581	268	14	(	(	PUNCT
ejpam-5581	268	15	k	k	NOUN
ejpam-5581	268	16	)	)	PUNCT
ejpam-5581	268	17	0	0	NUM
ejpam-5581	269	1	(	(	PUNCT
ejpam-5581	269	2	x	x	X
ejpam-5581	269	3	,	,	PUNCT
ejpam-5581	269	4	y	y	PROPN
ejpam-5581	269	5	)	)	PUNCT
ejpam-5581	270	1	+	+	CCONJ
ejpam-5581	271	1	∞∑	∞∑	NUM
ejpam-5581	271	2	i=1	i=1	PROPN
ejpam-5581	271	3	c	c	PROPN
ejpam-5581	271	4	(	(	PUNCT
ejpam-5581	271	5	k	k	X
ejpam-5581	271	6	)	)	PUNCT
ejpam-5581	271	7	i	i	PRON
ejpam-5581	271	8	(	(	PUNCT
ejpam-5581	271	9	x	x	X
ejpam-5581	271	10	,	,	PUNCT
ejpam-5581	271	11	y	y	NOUN
ejpam-5581	271	12	)	)	PUNCT
ejpam-5581	271	13	=	=	SYM
ejpam-5581	272	1	d	d	X
ejpam-5581	272	2	(	(	PUNCT
ejpam-5581	272	3	k	k	NOUN
ejpam-5581	272	4	)	)	PUNCT
ejpam-5581	272	5	4	4	NUM
ejpam-5581	272	6	(	(	PUNCT
ejpam-5581	272	7	x)y	x)y	PUNCT
ejpam-5581	273	1	+	+	PUNCT
ejpam-5581	273	2	d	d	PROPN
ejpam-5581	273	3	(	(	PUNCT
ejpam-5581	273	4	k	k	NOUN
ejpam-5581	273	5	)	)	PUNCT
ejpam-5581	273	6	5	5	NUM
ejpam-5581	273	7	(	(	PUNCT
ejpam-5581	273	8	x	x	NOUN
ejpam-5581	273	9	)	)	PUNCT
ejpam-5581	273	10	+	+	CCONJ
ejpam-5581	273	11	j	j	PROPN
ejpam-5581	273	12	(	(	PUNCT
ejpam-5581	273	13	k	k	NOUN
ejpam-5581	273	14	)	)	PUNCT
ejpam-5581	273	15	1	1	NUM
ejpam-5581	273	16	[	[	PUNCT
ejpam-5581	273	17	l−1	l−1	PROPN
ejpam-5581	273	18	yy	yy	NOUN
ejpam-5581	273	19	∞∑	∞∑	DET
ejpam-5581	273	20	i=0	i=0	PROPN
ejpam-5581	273	21	a	a	DET
ejpam-5581	273	22	(	(	PUNCT
ejpam-5581	273	23	k	k	NOUN
ejpam-5581	273	24	)	)	PUNCT
ejpam-5581	273	25	i	i	PRON
ejpam-5581	274	1	+	+	PROPN
ejpam-5581	274	2	g	g	PROPN
ejpam-5581	274	3	(	(	PUNCT
ejpam-5581	274	4	k	k	NOUN
ejpam-5581	274	5	)	)	PUNCT
ejpam-5581	274	6	3	3	NUM
ejpam-5581	274	7	l−1	l−1	NOUN
ejpam-5581	274	8	yy	yy	NOUN
ejpam-5581	274	9	∞∑	∞∑	DET
ejpam-5581	274	10	i=0	i=0	PROPN
ejpam-5581	274	11	e	e	X
ejpam-5581	274	12	(	(	PUNCT
ejpam-5581	274	13	k	k	X
ejpam-5581	274	14	)	)	PUNCT
ejpam-5581	274	15	i	i	PRON
ejpam-5581	274	16	−g	−g	VERB
ejpam-5581	274	17	(	(	PUNCT
ejpam-5581	274	18	k	k	NOUN
ejpam-5581	274	19	)	)	PUNCT
ejpam-5581	274	20	4	4	NUM
ejpam-5581	274	21	l−1	l−1	NOUN
ejpam-5581	274	22	yy	yy	NOUN
ejpam-5581	274	23	∞∑	∞∑	PRON
ejpam-5581	274	24	i=0	i=0	PROPN
ejpam-5581	274	25	f	f	X
ejpam-5581	274	26	(	(	PUNCT
ejpam-5581	274	27	k	k	X
ejpam-5581	274	28	)	)	PUNCT
ejpam-5581	274	29	i	i	PRON
ejpam-5581	274	30	]	]	PUNCT
ejpam-5581	274	31	.	.	PUNCT
ejpam-5581	275	1	(	(	PUNCT
ejpam-5581	275	2	63	63	NUM
ejpam-5581	275	3	)	)	PUNCT
ejpam-5581	275	4	a.	a.	NOUN
ejpam-5581	275	5	alaidrous	alaidrous	PROPN
ejpam-5581	275	6	,	,	PUNCT
ejpam-5581	275	7	h.	h.	PROPN
ejpam-5581	275	8	ashraf	ashraf	PROPN
ejpam-5581	275	9	/	/	SYM
ejpam-5581	275	10	eur	eur	PROPN
ejpam-5581	275	11	.	.	PUNCT
ejpam-5581	276	1	j.	j.	PROPN
ejpam-5581	276	2	pure	pure	PROPN
ejpam-5581	276	3	appl	appl	PROPN
ejpam-5581	276	4	.	.	PROPN
ejpam-5581	276	5	math	math	PROPN
ejpam-5581	276	6	,	,	PUNCT
ejpam-5581	276	7	18	18	NUM
ejpam-5581	276	8	(	(	PUNCT
ejpam-5581	276	9	1	1	NUM
ejpam-5581	276	10	)	)	PUNCT
ejpam-5581	276	11	(	(	PUNCT
ejpam-5581	276	12	2025	2025	NUM
ejpam-5581	276	13	)	)	PUNCT
ejpam-5581	276	14	,	,	PUNCT
ejpam-5581	276	15	5581	5581	NUM
ejpam-5581	276	16	13	13	NUM
ejpam-5581	276	17	of	of	ADP
ejpam-5581	276	18	30	30	NUM
ejpam-5581	276	19	eqs	eqs	X
ejpam-5581	276	20	.	.	PUNCT
ejpam-5581	277	1	(	(	PUNCT
ejpam-5581	277	2	61)-(63	61)-(63	NOUN
ejpam-5581	277	3	)	)	PUNCT
ejpam-5581	277	4	respectively	respectively	ADV
ejpam-5581	277	5	give	give	VERB
ejpam-5581	277	6	rise	rise	NOUN
ejpam-5581	277	7	to	to	ADP
ejpam-5581	277	8	the	the	DET
ejpam-5581	277	9	component	component	NOUN
ejpam-5581	277	10	of	of	ADP
ejpam-5581	277	11	zeroth	zeroth	ADJ
ejpam-5581	277	12	order	order	NOUN
ejpam-5581	277	13	and	and	CCONJ
ejpam-5581	277	14	a	a	DET
ejpam-5581	277	15	recursive	recursive	ADJ
ejpam-5581	277	16	relations	relation	NOUN
ejpam-5581	277	17	of	of	ADP
ejpam-5581	277	18	the	the	DET
ejpam-5581	277	19	form	form	NOUN
ejpam-5581	277	20	:	:	PUNCT
ejpam-5581	277	21	u	u	NOUN
ejpam-5581	277	22	(	(	PUNCT
ejpam-5581	277	23	k	k	NOUN
ejpam-5581	277	24	)	)	PUNCT
ejpam-5581	277	25	0	0	NUM
ejpam-5581	278	1	(	(	PUNCT
ejpam-5581	278	2	x	x	NOUN
ejpam-5581	278	3	,	,	PUNCT
ejpam-5581	278	4	y	y	NOUN
ejpam-5581	278	5	)	)	PUNCT
ejpam-5581	278	6	=	=	SYM
ejpam-5581	279	1	d	d	X
ejpam-5581	279	2	(	(	PUNCT
ejpam-5581	279	3	k	k	NOUN
ejpam-5581	279	4	)	)	PUNCT
ejpam-5581	279	5	1	1	NUM
ejpam-5581	279	6	(	(	PUNCT
ejpam-5581	279	7	x	x	NOUN
ejpam-5581	279	8	)	)	PUNCT
ejpam-5581	280	1	+	+	CCONJ
ejpam-5581	280	2	y2	y2	SYM
ejpam-5581	280	3	2	2	NUM
ejpam-5581	280	4	dxp0	dxp0	NOUN
ejpam-5581	280	5	,	,	PUNCT
ejpam-5581	280	6	(	(	PUNCT
ejpam-5581	280	7	64	64	NUM
ejpam-5581	280	8	)	)	PUNCT
ejpam-5581	281	1	∞∑	∞∑	NUM
ejpam-5581	281	2	i=1	i=1	PROPN
ejpam-5581	281	3	u	u	PROPN
ejpam-5581	281	4	(	(	PUNCT
ejpam-5581	281	5	k	k	NOUN
ejpam-5581	281	6	)	)	PUNCT
ejpam-5581	281	7	i	i	PRON
ejpam-5581	281	8	(	(	PUNCT
ejpam-5581	281	9	x	x	X
ejpam-5581	281	10	,	,	PUNCT
ejpam-5581	281	11	y	y	PROPN
ejpam-5581	281	12	)	)	PUNCT
ejpam-5581	281	13	=	=	SYM
ejpam-5581	281	14	g	g	PROPN
ejpam-5581	281	15	(	(	PUNCT
ejpam-5581	281	16	k	k	NOUN
ejpam-5581	281	17	)	)	PUNCT
ejpam-5581	281	18	1	1	NUM
ejpam-5581	281	19	[	[	PUNCT
ejpam-5581	281	20	dxpl	dxpl	PROPN
ejpam-5581	281	21	−1	−1	NOUN
ejpam-5581	281	22	y	y	PROPN
ejpam-5581	281	23	∞∑	∞∑	PROPN
ejpam-5581	281	24	i=0	i=0	PROPN
ejpam-5581	281	25	a	a	DET
ejpam-5581	281	26	(	(	PUNCT
ejpam-5581	281	27	k	k	NOUN
ejpam-5581	281	28	)	)	PUNCT
ejpam-5581	281	29	i	i	PRON
ejpam-5581	281	30	y	y	PROPN
ejpam-5581	281	31	−ml−1	−ml−1	NOUN
ejpam-5581	281	32	y	y	PROPN
ejpam-5581	281	33	∞∑	∞∑	PROPN
ejpam-5581	281	34	i=0	i=0	PROPN
ejpam-5581	281	35	b	b	PROPN
ejpam-5581	281	36	(	(	PUNCT
ejpam-5581	281	37	k	k	NOUN
ejpam-5581	281	38	)	)	PUNCT
ejpam-5581	281	39	i	i	PRON
ejpam-5581	281	40	]	]	PUNCT
ejpam-5581	281	41	,	,	PUNCT
ejpam-5581	281	42	(	(	PUNCT
ejpam-5581	281	43	65	65	NUM
ejpam-5581	281	44	)	)	PUNCT
ejpam-5581	281	45	t	t	NOUN
ejpam-5581	281	46	(	(	PUNCT
ejpam-5581	281	47	k	k	NOUN
ejpam-5581	281	48	)	)	PUNCT
ejpam-5581	281	49	0	0	NUM
ejpam-5581	282	1	(	(	PUNCT
ejpam-5581	282	2	x	x	NOUN
ejpam-5581	282	3	,	,	PUNCT
ejpam-5581	282	4	y	y	NOUN
ejpam-5581	282	5	)	)	PUNCT
ejpam-5581	282	6	=	=	SYM
ejpam-5581	283	1	d	d	X
ejpam-5581	283	2	(	(	PUNCT
ejpam-5581	283	3	k	k	NOUN
ejpam-5581	283	4	)	)	PUNCT
ejpam-5581	283	5	2	2	NUM
ejpam-5581	283	6	(	(	PUNCT
ejpam-5581	283	7	x)y	x)y	PUNCT
ejpam-5581	284	1	+	+	PUNCT
ejpam-5581	284	2	d	d	PROPN
ejpam-5581	284	3	(	(	PUNCT
ejpam-5581	284	4	k	k	NOUN
ejpam-5581	284	5	)	)	PUNCT
ejpam-5581	284	6	3	3	NUM
ejpam-5581	284	7	(	(	PUNCT
ejpam-5581	284	8	x	x	NOUN
ejpam-5581	284	9	)	)	PUNCT
ejpam-5581	284	10	,	,	PUNCT
ejpam-5581	284	11	(	(	PUNCT
ejpam-5581	284	12	66	66	NUM
ejpam-5581	284	13	)	)	PUNCT
ejpam-5581	284	14	∞∑	∞∑	NUM
ejpam-5581	284	15	i=1	i=1	PROPN
ejpam-5581	284	16	t	t	PROPN
ejpam-5581	284	17	(	(	PUNCT
ejpam-5581	284	18	k	k	X
ejpam-5581	284	19	)	)	PUNCT
ejpam-5581	284	20	i	i	PRON
ejpam-5581	284	21	(	(	PUNCT
ejpam-5581	284	22	x	x	X
ejpam-5581	284	23	,	,	PUNCT
ejpam-5581	284	24	y	y	NOUN
ejpam-5581	284	25	)	)	PUNCT
ejpam-5581	284	26	=	=	SYM
ejpam-5581	284	27	−g	−g	NOUN
ejpam-5581	284	28	(	(	PUNCT
ejpam-5581	284	29	k	k	NOUN
ejpam-5581	284	30	)	)	PUNCT
ejpam-5581	284	31	2	2	NUM
ejpam-5581	284	32	[	[	PUNCT
ejpam-5581	284	33	l−1	l−1	PROPN
ejpam-5581	284	34	yy	yy	NOUN
ejpam-5581	284	35	∞∑	∞∑	DET
ejpam-5581	284	36	i=0	i=0	PROPN
ejpam-5581	284	37	a	a	DET
ejpam-5581	284	38	(	(	PUNCT
ejpam-5581	284	39	k	k	NOUN
ejpam-5581	284	40	)	)	PUNCT
ejpam-5581	284	41	i	i	PRON
ejpam-5581	285	1	+	+	PROPN
ejpam-5581	285	2	g	g	PROPN
ejpam-5581	285	3	(	(	PUNCT
ejpam-5581	285	4	k	k	NOUN
ejpam-5581	285	5	)	)	PUNCT
ejpam-5581	285	6	3	3	NUM
ejpam-5581	285	7	l−1	l−1	NOUN
ejpam-5581	285	8	yy	yy	NOUN
ejpam-5581	285	9	∞∑	∞∑	DET
ejpam-5581	285	10	i=0	i=0	PROPN
ejpam-5581	285	11	e	e	X
ejpam-5581	285	12	(	(	PUNCT
ejpam-5581	285	13	k	k	X
ejpam-5581	285	14	)	)	PUNCT
ejpam-5581	285	15	i	i	PRON
ejpam-5581	285	16	−g	−g	VERB
ejpam-5581	285	17	(	(	PUNCT
ejpam-5581	285	18	k	k	NOUN
ejpam-5581	285	19	)	)	PUNCT
ejpam-5581	285	20	4	4	NUM
ejpam-5581	285	21	l−1	l−1	NOUN
ejpam-5581	285	22	yy	yy	NOUN
ejpam-5581	286	1	∞∑	∞∑	PRON
ejpam-5581	286	2	i=0	i=0	PROPN
ejpam-5581	286	3	f	f	X
ejpam-5581	286	4	(	(	PUNCT
ejpam-5581	286	5	k	k	X
ejpam-5581	286	6	)	)	PUNCT
ejpam-5581	286	7	i	i	PRON
ejpam-5581	286	8	]	]	PUNCT
ejpam-5581	286	9	,	,	PUNCT
ejpam-5581	286	10	(	(	PUNCT
ejpam-5581	286	11	67	67	NUM
ejpam-5581	286	12	)	)	PUNCT
ejpam-5581	286	13	c	c	NOUN
ejpam-5581	286	14	(	(	PUNCT
ejpam-5581	286	15	k	k	NOUN
ejpam-5581	286	16	)	)	PUNCT
ejpam-5581	286	17	0	0	NUM
ejpam-5581	287	1	(	(	PUNCT
ejpam-5581	287	2	x	x	NOUN
ejpam-5581	287	3	,	,	PUNCT
ejpam-5581	287	4	y	y	NOUN
ejpam-5581	287	5	)	)	PUNCT
ejpam-5581	287	6	=	=	SYM
ejpam-5581	288	1	d	d	X
ejpam-5581	288	2	(	(	PUNCT
ejpam-5581	288	3	k	k	NOUN
ejpam-5581	288	4	)	)	PUNCT
ejpam-5581	288	5	4	4	NUM
ejpam-5581	288	6	(	(	PUNCT
ejpam-5581	288	7	x)y	x)y	PUNCT
ejpam-5581	289	1	+	+	PUNCT
ejpam-5581	289	2	d	d	PROPN
ejpam-5581	289	3	(	(	PUNCT
ejpam-5581	289	4	k	k	NOUN
ejpam-5581	289	5	)	)	PUNCT
ejpam-5581	289	6	5	5	NUM
ejpam-5581	289	7	(	(	PUNCT
ejpam-5581	289	8	x	x	NOUN
ejpam-5581	289	9	)	)	PUNCT
ejpam-5581	289	10	,	,	PUNCT
ejpam-5581	289	11	(	(	PUNCT
ejpam-5581	289	12	68	68	NUM
ejpam-5581	289	13	)	)	PUNCT
ejpam-5581	289	14	∞∑	∞∑	NUM
ejpam-5581	290	1	i=1	i=1	X
ejpam-5581	290	2	c	c	PROPN
ejpam-5581	290	3	(	(	PUNCT
ejpam-5581	290	4	k	k	X
ejpam-5581	290	5	)	)	PUNCT
ejpam-5581	290	6	i	i	PRON
ejpam-5581	290	7	(	(	PUNCT
ejpam-5581	290	8	x	x	X
ejpam-5581	290	9	,	,	PUNCT
ejpam-5581	290	10	y	y	NOUN
ejpam-5581	290	11	)	)	PUNCT
ejpam-5581	291	1	=	=	SYM
ejpam-5581	291	2	j	j	PROPN
ejpam-5581	291	3	(	(	PUNCT
ejpam-5581	291	4	k	k	NOUN
ejpam-5581	291	5	)	)	PUNCT
ejpam-5581	291	6	1	1	NUM
ejpam-5581	291	7	[	[	PUNCT
ejpam-5581	291	8	l−1	l−1	PROPN
ejpam-5581	291	9	yy	yy	NOUN
ejpam-5581	291	10	∞∑	∞∑	DET
ejpam-5581	291	11	i=0	i=0	PROPN
ejpam-5581	291	12	a	a	DET
ejpam-5581	291	13	(	(	PUNCT
ejpam-5581	291	14	k	k	NOUN
ejpam-5581	291	15	)	)	PUNCT
ejpam-5581	291	16	i	i	PRON
ejpam-5581	292	1	+	+	PROPN
ejpam-5581	292	2	g	g	PROPN
ejpam-5581	292	3	(	(	PUNCT
ejpam-5581	292	4	k	k	NOUN
ejpam-5581	292	5	)	)	PUNCT
ejpam-5581	292	6	3	3	NUM
ejpam-5581	292	7	l−1	l−1	NOUN
ejpam-5581	292	8	yy	yy	NOUN
ejpam-5581	292	9	∞∑	∞∑	DET
ejpam-5581	292	10	i=0	i=0	PROPN
ejpam-5581	292	11	e	e	X
ejpam-5581	292	12	(	(	PUNCT
ejpam-5581	292	13	k	k	X
ejpam-5581	292	14	)	)	PUNCT
ejpam-5581	292	15	i	i	PRON
ejpam-5581	292	16	−g	−g	VERB
ejpam-5581	292	17	(	(	PUNCT
ejpam-5581	292	18	k	k	NOUN
ejpam-5581	292	19	)	)	PUNCT
ejpam-5581	292	20	4	4	NUM
ejpam-5581	292	21	l−1	l−1	NOUN
ejpam-5581	292	22	yy	yy	NOUN
ejpam-5581	292	23	∞∑	∞∑	PRON
ejpam-5581	292	24	i=0	i=0	PROPN
ejpam-5581	292	25	f	f	X
ejpam-5581	292	26	(	(	PUNCT
ejpam-5581	292	27	k	k	X
ejpam-5581	292	28	)	)	PUNCT
ejpam-5581	292	29	i	i	PRON
ejpam-5581	292	30	]	]	PUNCT
ejpam-5581	292	31	.	.	PUNCT
ejpam-5581	293	1	(	(	PUNCT
ejpam-5581	293	2	69	69	NUM
ejpam-5581	293	3	)	)	PUNCT
ejpam-5581	293	4	after	after	ADP
ejpam-5581	293	5	making	make	VERB
ejpam-5581	293	6	use	use	VERB
ejpam-5581	293	7	the	the	DET
ejpam-5581	293	8	decomposition	decomposition	NOUN
ejpam-5581	293	9	series	series	NOUN
ejpam-5581	293	10	(	(	PUNCT
ejpam-5581	293	11	55)-(59	55)-(59	NOUN
ejpam-5581	293	12	)	)	PUNCT
ejpam-5581	293	13	on	on	ADP
ejpam-5581	293	14	adomian	adomian	NOUN
ejpam-5581	293	15	polynomials	polynomial	NOUN
ejpam-5581	293	16	(	(	PUNCT
ejpam-5581	293	17	60	60	NUM
ejpam-5581	293	18	)	)	PUNCT
ejpam-5581	293	19	,	,	PUNCT
ejpam-5581	293	20	and	and	CCONJ
ejpam-5581	293	21	in	in	ADP
ejpam-5581	293	22	turn	turn	NOUN
ejpam-5581	293	23	using	use	VERB
ejpam-5581	293	24	binomial	binomial	ADJ
ejpam-5581	293	25	expansion	expansion	NOUN
ejpam-5581	293	26	,	,	PUNCT
ejpam-5581	293	27	we	we	PRON
ejpam-5581	293	28	get	get	VERB
ejpam-5581	293	29	a	a	DET
ejpam-5581	293	30	(	(	PUNCT
ejpam-5581	293	31	k	k	NOUN
ejpam-5581	293	32	)	)	PUNCT
ejpam-5581	293	33	0	0	NUM
ejpam-5581	294	1	=	=	SYM
ejpam-5581	294	2	(	(	PUNCT
ejpam-5581	294	3	∂yu	∂yu	PROPN
ejpam-5581	294	4	(	(	PUNCT
ejpam-5581	294	5	k	k	NOUN
ejpam-5581	294	6	)	)	PUNCT
ejpam-5581	294	7	0	0	NUM
ejpam-5581	294	8	)	)	PUNCT
ejpam-5581	294	9	2	2	NUM
ejpam-5581	294	10	,	,	PUNCT
ejpam-5581	294	11	a	a	DET
ejpam-5581	294	12	(	(	PUNCT
ejpam-5581	294	13	k	k	NOUN
ejpam-5581	294	14	)	)	PUNCT
ejpam-5581	294	15	1	1	NUM
ejpam-5581	294	16	=	=	SYM
ejpam-5581	294	17	2	2	NUM
ejpam-5581	294	18	(	(	PUNCT
ejpam-5581	294	19	∂yu	∂yu	PROPN
ejpam-5581	294	20	(	(	PUNCT
ejpam-5581	294	21	k	k	NOUN
ejpam-5581	294	22	)	)	PUNCT
ejpam-5581	294	23	0	0	NUM
ejpam-5581	294	24	)	)	PUNCT
ejpam-5581	294	25	(	(	PUNCT
ejpam-5581	294	26	∂yu	∂yu	PROPN
ejpam-5581	294	27	(	(	PUNCT
ejpam-5581	294	28	k	k	NOUN
ejpam-5581	294	29	)	)	PUNCT
ejpam-5581	294	30	1	1	NUM
ejpam-5581	294	31	)	)	PUNCT
ejpam-5581	294	32	,	,	PUNCT
ejpam-5581	294	33	(	(	PUNCT
ejpam-5581	294	34	70	70	X
ejpam-5581	294	35	)	)	PUNCT
ejpam-5581	294	36	b	b	NOUN
ejpam-5581	294	37	(	(	PUNCT
ejpam-5581	294	38	k	k	NOUN
ejpam-5581	294	39	)	)	PUNCT
ejpam-5581	294	40	0	0	NUM
ejpam-5581	295	1	=	=	SYM
ejpam-5581	295	2	(	(	PUNCT
ejpam-5581	295	3	∂yu	∂yu	PROPN
ejpam-5581	295	4	(	(	PUNCT
ejpam-5581	295	5	k	k	NOUN
ejpam-5581	295	6	)	)	PUNCT
ejpam-5581	295	7	0	0	NUM
ejpam-5581	295	8	)	)	PUNCT
ejpam-5581	295	9	3	3	NUM
ejpam-5581	295	10	,	,	PUNCT
ejpam-5581	295	11	b	b	PROPN
ejpam-5581	295	12	(	(	PUNCT
ejpam-5581	295	13	k	k	NOUN
ejpam-5581	295	14	)	)	PUNCT
ejpam-5581	295	15	1	1	NUM
ejpam-5581	295	16	=	=	SYM
ejpam-5581	295	17	3	3	NUM
ejpam-5581	295	18	(	(	PUNCT
ejpam-5581	295	19	∂yu	∂yu	PROPN
ejpam-5581	295	20	(	(	PUNCT
ejpam-5581	295	21	k	k	NOUN
ejpam-5581	295	22	)	)	PUNCT
ejpam-5581	295	23	0	0	NUM
ejpam-5581	295	24	)	)	PUNCT
ejpam-5581	295	25	2	2	NUM
ejpam-5581	295	26	(	(	PUNCT
ejpam-5581	295	27	∂yu	∂yu	PROPN
ejpam-5581	295	28	(	(	PUNCT
ejpam-5581	295	29	k	k	NOUN
ejpam-5581	295	30	)	)	PUNCT
ejpam-5581	295	31	1	1	NUM
ejpam-5581	295	32	)	)	PUNCT
ejpam-5581	295	33	,	,	PUNCT
ejpam-5581	295	34	(	(	PUNCT
ejpam-5581	295	35	71	71	NUM
ejpam-5581	295	36	)	)	PUNCT
ejpam-5581	295	37	e	e	NOUN
ejpam-5581	295	38	(	(	PUNCT
ejpam-5581	295	39	k	k	NOUN
ejpam-5581	295	40	)	)	PUNCT
ejpam-5581	295	41	0	0	NUM
ejpam-5581	296	1	=	=	SYM
ejpam-5581	296	2	(	(	PUNCT
ejpam-5581	296	3	∂yu	∂yu	PROPN
ejpam-5581	296	4	(	(	PUNCT
ejpam-5581	296	5	k	k	NOUN
ejpam-5581	296	6	)	)	PUNCT
ejpam-5581	296	7	0	0	NUM
ejpam-5581	296	8	)	)	PUNCT
ejpam-5581	296	9	4	4	NUM
ejpam-5581	296	10	,	,	PUNCT
ejpam-5581	296	11	e	e	X
ejpam-5581	296	12	(	(	PUNCT
ejpam-5581	296	13	k	k	NOUN
ejpam-5581	296	14	)	)	PUNCT
ejpam-5581	296	15	1	1	NUM
ejpam-5581	296	16	=	=	SYM
ejpam-5581	296	17	4	4	NUM
ejpam-5581	296	18	(	(	PUNCT
ejpam-5581	296	19	∂yu	∂yu	PROPN
ejpam-5581	296	20	(	(	PUNCT
ejpam-5581	296	21	k	k	NOUN
ejpam-5581	296	22	)	)	PUNCT
ejpam-5581	296	23	0	0	NUM
ejpam-5581	296	24	)	)	PUNCT
ejpam-5581	296	25	3	3	NUM
ejpam-5581	296	26	(	(	PUNCT
ejpam-5581	296	27	∂yu	∂yu	PROPN
ejpam-5581	296	28	(	(	PUNCT
ejpam-5581	296	29	k	k	NOUN
ejpam-5581	296	30	)	)	PUNCT
ejpam-5581	296	31	1	1	NUM
ejpam-5581	296	32	)	)	PUNCT
ejpam-5581	296	33	,	,	PUNCT
ejpam-5581	296	34	(	(	PUNCT
ejpam-5581	296	35	72	72	X
ejpam-5581	296	36	)	)	PUNCT
ejpam-5581	296	37	f	f	NOUN
ejpam-5581	296	38	(	(	PUNCT
ejpam-5581	296	39	k	k	NOUN
ejpam-5581	296	40	)	)	PUNCT
ejpam-5581	296	41	0	0	NUM
ejpam-5581	297	1	=	=	SYM
ejpam-5581	297	2	(	(	PUNCT
ejpam-5581	297	3	∂yu	∂yu	PROPN
ejpam-5581	297	4	(	(	PUNCT
ejpam-5581	297	5	k	k	NOUN
ejpam-5581	297	6	)	)	PUNCT
ejpam-5581	297	7	0	0	NUM
ejpam-5581	297	8	)	)	PUNCT
ejpam-5581	297	9	6	6	NUM
ejpam-5581	297	10	,	,	PUNCT
ejpam-5581	297	11	f	f	PROPN
ejpam-5581	297	12	(	(	PUNCT
ejpam-5581	297	13	k	k	NOUN
ejpam-5581	297	14	)	)	PUNCT
ejpam-5581	297	15	1	1	NUM
ejpam-5581	297	16	=	=	SYM
ejpam-5581	297	17	6	6	NUM
ejpam-5581	297	18	(	(	PUNCT
ejpam-5581	297	19	∂yu	∂yu	PROPN
ejpam-5581	297	20	(	(	PUNCT
ejpam-5581	297	21	k	k	NOUN
ejpam-5581	297	22	)	)	PUNCT
ejpam-5581	297	23	0	0	NUM
ejpam-5581	297	24	)	)	PUNCT
ejpam-5581	297	25	5	5	NUM
ejpam-5581	297	26	(	(	PUNCT
ejpam-5581	297	27	∂yu	∂yu	PROPN
ejpam-5581	297	28	(	(	PUNCT
ejpam-5581	297	29	k	k	NOUN
ejpam-5581	297	30	)	)	PUNCT
ejpam-5581	297	31	1	1	NUM
ejpam-5581	297	32	)	)	PUNCT
ejpam-5581	297	33	.	.	PUNCT
ejpam-5581	298	1	(	(	PUNCT
ejpam-5581	298	2	73	73	NUM
ejpam-5581	298	3	)	)	PUNCT
ejpam-5581	298	4	invoking	invoke	VERB
ejpam-5581	298	5	the	the	DET
ejpam-5581	298	6	decomposition	decomposition	NOUN
ejpam-5581	298	7	series	series	NOUN
ejpam-5581	298	8	(	(	PUNCT
ejpam-5581	298	9	55)-(59	55)-(59	NOUN
ejpam-5581	298	10	)	)	PUNCT
ejpam-5581	298	11	into	into	ADP
ejpam-5581	298	12	the	the	DET
ejpam-5581	298	13	boundary	boundary	ADJ
ejpam-5581	298	14	conditions	condition	NOUN
ejpam-5581	298	15	(	(	PUNCT
ejpam-5581	298	16	28)-(30	28)-(30	NUM
ejpam-5581	298	17	)	)	PUNCT
ejpam-5581	298	18	and	and	CCONJ
ejpam-5581	298	19	(	(	PUNCT
ejpam-5581	298	20	32)-(42	32)-(42	NOUN
ejpam-5581	298	21	)	)	PUNCT
ejpam-5581	298	22	lead	lead	NOUN
ejpam-5581	298	23	to	to	ADP
ejpam-5581	298	24	the	the	DET
ejpam-5581	298	25	following	follow	VERB
ejpam-5581	298	26	results	result	NOUN
ejpam-5581	298	27	:	:	PUNCT
ejpam-5581	298	28	u	u	NOUN
ejpam-5581	298	29	(	(	PUNCT
ejpam-5581	298	30	a	a	NOUN
ejpam-5581	298	31	)	)	PUNCT
ejpam-5581	298	32	0	0	NUM
ejpam-5581	299	1	(	(	PUNCT
ejpam-5581	299	2	x	x	NOUN
ejpam-5581	299	3	,	,	PUNCT
ejpam-5581	299	4	h1	h1	NOUN
ejpam-5581	299	5	)	)	PUNCT
ejpam-5581	299	6	=	=	SYM
ejpam-5581	299	7	u	u	NOUN
ejpam-5581	299	8	(	(	PUNCT
ejpam-5581	299	9	p	p	NOUN
ejpam-5581	299	10	)	)	PUNCT
ejpam-5581	299	11	0	0	PUNCT
ejpam-5581	300	1	(	(	PUNCT
ejpam-5581	300	2	x	x	NOUN
ejpam-5581	300	3	,	,	PUNCT
ejpam-5581	300	4	h1	h1	PROPN
ejpam-5581	300	5	)	)	PUNCT
ejpam-5581	300	6	,	,	PUNCT
ejpam-5581	300	7	u	u	NOUN
ejpam-5581	300	8	(	(	PUNCT
ejpam-5581	300	9	a	a	NOUN
ejpam-5581	300	10	)	)	PUNCT
ejpam-5581	300	11	1	1	NUM
ejpam-5581	300	12	(	(	PUNCT
ejpam-5581	300	13	x	x	NOUN
ejpam-5581	300	14	,	,	PUNCT
ejpam-5581	300	15	h1	h1	NOUN
ejpam-5581	300	16	)	)	PUNCT
ejpam-5581	300	17	=	=	SYM
ejpam-5581	300	18	u	u	NOUN
ejpam-5581	300	19	(	(	PUNCT
ejpam-5581	300	20	p	p	NOUN
ejpam-5581	300	21	)	)	PUNCT
ejpam-5581	300	22	1	1	NUM
ejpam-5581	300	23	(	(	PUNCT
ejpam-5581	300	24	x	x	NOUN
ejpam-5581	300	25	,	,	PUNCT
ejpam-5581	300	26	h1	h1	PROPN
ejpam-5581	300	27	)	)	PUNCT
ejpam-5581	300	28	,	,	PUNCT
ejpam-5581	300	29	u	u	NOUN
ejpam-5581	300	30	(	(	PUNCT
ejpam-5581	300	31	a	a	NOUN
ejpam-5581	300	32	)	)	PUNCT
ejpam-5581	300	33	2	2	NUM
ejpam-5581	300	34	(	(	PUNCT
ejpam-5581	300	35	x	x	NOUN
ejpam-5581	300	36	,	,	PUNCT
ejpam-5581	300	37	h1	h1	NOUN
ejpam-5581	300	38	)	)	PUNCT
ejpam-5581	300	39	=	=	SYM
ejpam-5581	300	40	u	u	NOUN
ejpam-5581	300	41	(	(	PUNCT
ejpam-5581	300	42	p	p	NOUN
ejpam-5581	300	43	)	)	PUNCT
ejpam-5581	300	44	2	2	NUM
ejpam-5581	300	45	(	(	PUNCT
ejpam-5581	300	46	x	x	NOUN
ejpam-5581	300	47	,	,	PUNCT
ejpam-5581	300	48	h1	h1	PROPN
ejpam-5581	300	49	)	)	PUNCT
ejpam-5581	300	50	,	,	PUNCT
ejpam-5581	300	51	(	(	PUNCT
ejpam-5581	300	52	74	74	X
ejpam-5581	300	53	)	)	PUNCT
ejpam-5581	300	54	u	u	NOUN
ejpam-5581	300	55	(	(	PUNCT
ejpam-5581	300	56	p	p	NOUN
ejpam-5581	300	57	)	)	PUNCT
ejpam-5581	300	58	0	0	PUNCT
ejpam-5581	301	1	(	(	PUNCT
ejpam-5581	301	2	x	x	NOUN
ejpam-5581	301	3	,	,	PUNCT
ejpam-5581	301	4	h	h	NOUN
ejpam-5581	301	5	)	)	PUNCT
ejpam-5581	301	6	=	=	SYM
ejpam-5581	302	1	−1−	−1−	PROPN
ejpam-5581	302	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	302	3	cos(2πx	cos(2πx	NOUN
ejpam-5581	302	4	)	)	PUNCT
ejpam-5581	302	5	,	,	PUNCT
ejpam-5581	302	6	u	u	NOUN
ejpam-5581	302	7	(	(	PUNCT
ejpam-5581	302	8	p	p	NOUN
ejpam-5581	302	9	)	)	PUNCT
ejpam-5581	302	10	1	1	NUM
ejpam-5581	302	11	(	(	PUNCT
ejpam-5581	302	12	x	x	NOUN
ejpam-5581	302	13	,	,	PUNCT
ejpam-5581	302	14	h	h	NOUN
ejpam-5581	302	15	)	)	PUNCT
ejpam-5581	302	16	=	=	SYM
ejpam-5581	302	17	0	0	NUM
ejpam-5581	302	18	,	,	PUNCT
ejpam-5581	302	19	u	u	NOUN
ejpam-5581	302	20	(	(	PUNCT
ejpam-5581	302	21	p	p	NOUN
ejpam-5581	302	22	)	)	PUNCT
ejpam-5581	302	23	2	2	NUM
ejpam-5581	302	24	(	(	PUNCT
ejpam-5581	302	25	x	x	NOUN
ejpam-5581	302	26	,	,	PUNCT
ejpam-5581	302	27	h	h	NOUN
ejpam-5581	302	28	)	)	PUNCT
ejpam-5581	302	29	=	=	SYM
ejpam-5581	302	30	0	0	NUM
ejpam-5581	302	31	,	,	PUNCT
ejpam-5581	302	32	(	(	PUNCT
ejpam-5581	302	33	75	75	NUM
ejpam-5581	302	34	)	)	PUNCT
ejpam-5581	302	35	v	v	NOUN
ejpam-5581	302	36	(	(	PUNCT
ejpam-5581	302	37	a	a	NOUN
ejpam-5581	302	38	)	)	PUNCT
ejpam-5581	302	39	0	0	NUM
ejpam-5581	303	1	(	(	PUNCT
ejpam-5581	303	2	x	x	X
ejpam-5581	303	3	,	,	PUNCT
ejpam-5581	303	4	0	0	NUM
ejpam-5581	303	5	)	)	PUNCT
ejpam-5581	304	1	=	=	SYM
ejpam-5581	304	2	0	0	NUM
ejpam-5581	304	3	,	,	PUNCT
ejpam-5581	304	4	v	v	NOUN
ejpam-5581	304	5	(	(	PUNCT
ejpam-5581	304	6	a	a	NOUN
ejpam-5581	304	7	)	)	PUNCT
ejpam-5581	304	8	1	1	NUM
ejpam-5581	304	9	(	(	PUNCT
ejpam-5581	304	10	x	x	NOUN
ejpam-5581	304	11	,	,	PUNCT
ejpam-5581	304	12	0	0	NUM
ejpam-5581	304	13	)	)	PUNCT
ejpam-5581	304	14	=	=	SYM
ejpam-5581	305	1	0	0	NUM
ejpam-5581	305	2	,	,	PUNCT
ejpam-5581	305	3	v	v	NOUN
ejpam-5581	305	4	(	(	PUNCT
ejpam-5581	305	5	a	a	X
ejpam-5581	305	6	)	)	PUNCT
ejpam-5581	305	7	2	2	NUM
ejpam-5581	305	8	(	(	PUNCT
ejpam-5581	305	9	x	x	NOUN
ejpam-5581	305	10	,	,	PUNCT
ejpam-5581	305	11	0	0	NUM
ejpam-5581	305	12	)	)	PUNCT
ejpam-5581	305	13	=	=	SYM
ejpam-5581	305	14	0	0	NUM
ejpam-5581	305	15	,	,	PUNCT
ejpam-5581	305	16	(	(	PUNCT
ejpam-5581	305	17	76	76	NUM
ejpam-5581	305	18	)	)	PUNCT
ejpam-5581	305	19	v	v	NOUN
ejpam-5581	305	20	(	(	PUNCT
ejpam-5581	305	21	p	p	NOUN
ejpam-5581	305	22	)	)	PUNCT
ejpam-5581	305	23	0	0	PUNCT
ejpam-5581	306	1	(	(	PUNCT
ejpam-5581	306	2	x	x	NOUN
ejpam-5581	306	3	,	,	PUNCT
ejpam-5581	306	4	h	h	NOUN
ejpam-5581	306	5	)	)	PUNCT
ejpam-5581	306	6	=	=	SYM
ejpam-5581	306	7	±2πϵ(sin(2πx	±2πϵ(sin(2πx	PROPN
ejpam-5581	306	8	)	)	PUNCT
ejpam-5581	307	1	+	+	CCONJ
ejpam-5581	307	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	307	3	sin(2πx)cos(2πx	sin(2πx)cos(2πx	NOUN
ejpam-5581	307	4	)	)	PUNCT
ejpam-5581	307	5	)	)	PUNCT
ejpam-5581	307	6	,	,	PUNCT
ejpam-5581	307	7	v	v	X
ejpam-5581	307	8	(	(	PUNCT
ejpam-5581	307	9	p	p	NOUN
ejpam-5581	307	10	)	)	PUNCT
ejpam-5581	307	11	1	1	NUM
ejpam-5581	307	12	(	(	PUNCT
ejpam-5581	307	13	x	x	NOUN
ejpam-5581	307	14	,	,	PUNCT
ejpam-5581	307	15	h	h	NOUN
ejpam-5581	307	16	)	)	PUNCT
ejpam-5581	307	17	=	=	SYM
ejpam-5581	308	1	0	0	NUM
ejpam-5581	308	2	,	,	PUNCT
ejpam-5581	308	3	v	v	NOUN
ejpam-5581	308	4	(	(	PUNCT
ejpam-5581	308	5	p	p	NOUN
ejpam-5581	308	6	)	)	PUNCT
ejpam-5581	308	7	2	2	NUM
ejpam-5581	308	8	(	(	PUNCT
ejpam-5581	308	9	x	x	NOUN
ejpam-5581	308	10	,	,	PUNCT
ejpam-5581	308	11	h	h	NOUN
ejpam-5581	308	12	)	)	PUNCT
ejpam-5581	308	13	=	=	SYM
ejpam-5581	308	14	0	0	NUM
ejpam-5581	308	15	,	,	PUNCT
ejpam-5581	308	16	(	(	PUNCT
ejpam-5581	308	17	77	77	NUM
ejpam-5581	308	18	)	)	PUNCT
ejpam-5581	308	19	v	v	NOUN
ejpam-5581	308	20	(	(	PUNCT
ejpam-5581	308	21	a	a	NOUN
ejpam-5581	308	22	)	)	PUNCT
ejpam-5581	308	23	0	0	NUM
ejpam-5581	309	1	(	(	PUNCT
ejpam-5581	309	2	x	x	NOUN
ejpam-5581	309	3	,	,	PUNCT
ejpam-5581	309	4	h1	h1	NOUN
ejpam-5581	309	5	)	)	PUNCT
ejpam-5581	309	6	=	=	SYM
ejpam-5581	309	7	v	v	X
ejpam-5581	309	8	(	(	PUNCT
ejpam-5581	309	9	p	p	NOUN
ejpam-5581	309	10	)	)	PUNCT
ejpam-5581	309	11	0	0	PUNCT
ejpam-5581	310	1	(	(	PUNCT
ejpam-5581	310	2	x	x	NOUN
ejpam-5581	310	3	,	,	PUNCT
ejpam-5581	310	4	h1	h1	PROPN
ejpam-5581	310	5	)	)	PUNCT
ejpam-5581	310	6	,	,	PUNCT
ejpam-5581	310	7	v	v	X
ejpam-5581	310	8	(	(	PUNCT
ejpam-5581	310	9	a	a	X
ejpam-5581	310	10	)	)	PUNCT
ejpam-5581	310	11	1	1	NUM
ejpam-5581	310	12	(	(	PUNCT
ejpam-5581	310	13	x	x	NOUN
ejpam-5581	310	14	,	,	PUNCT
ejpam-5581	310	15	h1	h1	NOUN
ejpam-5581	310	16	)	)	PUNCT
ejpam-5581	310	17	=	=	SYM
ejpam-5581	310	18	v	v	X
ejpam-5581	310	19	(	(	PUNCT
ejpam-5581	310	20	p	p	NOUN
ejpam-5581	310	21	)	)	PUNCT
ejpam-5581	310	22	1	1	NUM
ejpam-5581	310	23	(	(	PUNCT
ejpam-5581	310	24	x	x	NOUN
ejpam-5581	310	25	,	,	PUNCT
ejpam-5581	310	26	h1	h1	PROPN
ejpam-5581	310	27	)	)	PUNCT
ejpam-5581	310	28	,	,	PUNCT
ejpam-5581	310	29	v	v	X
ejpam-5581	310	30	(	(	PUNCT
ejpam-5581	310	31	a	a	X
ejpam-5581	310	32	)	)	PUNCT
ejpam-5581	310	33	2	2	NUM
ejpam-5581	310	34	(	(	PUNCT
ejpam-5581	310	35	x	x	NOUN
ejpam-5581	310	36	,	,	PUNCT
ejpam-5581	310	37	h1	h1	NOUN
ejpam-5581	310	38	)	)	PUNCT
ejpam-5581	310	39	=	=	SYM
ejpam-5581	310	40	v	v	X
ejpam-5581	310	41	(	(	PUNCT
ejpam-5581	310	42	p	p	NOUN
ejpam-5581	310	43	)	)	PUNCT
ejpam-5581	310	44	2	2	NUM
ejpam-5581	310	45	(	(	PUNCT
ejpam-5581	310	46	x	x	NOUN
ejpam-5581	310	47	,	,	PUNCT
ejpam-5581	310	48	h1	h1	PROPN
ejpam-5581	310	49	)	)	PUNCT
ejpam-5581	310	50	,	,	PUNCT
ejpam-5581	310	51	(	(	PUNCT
ejpam-5581	310	52	78	78	X
ejpam-5581	310	53	)	)	PUNCT
ejpam-5581	310	54	∂yt	∂yt	NOUN
ejpam-5581	310	55	(	(	PUNCT
ejpam-5581	310	56	a	a	NOUN
ejpam-5581	310	57	)	)	PUNCT
ejpam-5581	310	58	0	0	NUM
ejpam-5581	310	59	(	(	PUNCT
ejpam-5581	310	60	x	x	X
ejpam-5581	310	61	,	,	PUNCT
ejpam-5581	310	62	0	0	NUM
ejpam-5581	310	63	)	)	PUNCT
ejpam-5581	310	64	=	=	SYM
ejpam-5581	310	65	0	0	NUM
ejpam-5581	310	66	,	,	PUNCT
ejpam-5581	310	67	∂yt	∂yt	PROPN
ejpam-5581	310	68	(	(	PUNCT
ejpam-5581	310	69	a	a	NOUN
ejpam-5581	310	70	)	)	PUNCT
ejpam-5581	310	71	1	1	NUM
ejpam-5581	310	72	(	(	PUNCT
ejpam-5581	310	73	x	x	NOUN
ejpam-5581	310	74	,	,	PUNCT
ejpam-5581	310	75	0	0	NUM
ejpam-5581	310	76	)	)	PUNCT
ejpam-5581	310	77	=	=	SYM
ejpam-5581	310	78	0	0	NUM
ejpam-5581	310	79	,	,	PUNCT
ejpam-5581	310	80	∂yt	∂yt	PROPN
ejpam-5581	310	81	(	(	PUNCT
ejpam-5581	310	82	p	p	NOUN
ejpam-5581	310	83	)	)	PUNCT
ejpam-5581	310	84	2	2	NUM
ejpam-5581	310	85	(	(	PUNCT
ejpam-5581	310	86	x	x	NOUN
ejpam-5581	310	87	,	,	PUNCT
ejpam-5581	310	88	0	0	NUM
ejpam-5581	310	89	)	)	PUNCT
ejpam-5581	310	90	=	=	SYM
ejpam-5581	310	91	0	0	NUM
ejpam-5581	310	92	,	,	PUNCT
ejpam-5581	310	93	(	(	PUNCT
ejpam-5581	310	94	79	79	NUM
ejpam-5581	310	95	)	)	PUNCT
ejpam-5581	310	96	t	t	NOUN
ejpam-5581	310	97	(	(	PUNCT
ejpam-5581	310	98	a	a	NOUN
ejpam-5581	310	99	)	)	PUNCT
ejpam-5581	310	100	0	0	NUM
ejpam-5581	310	101	(	(	PUNCT
ejpam-5581	310	102	x	x	NOUN
ejpam-5581	310	103	,	,	PUNCT
ejpam-5581	310	104	h1	h1	NOUN
ejpam-5581	310	105	)	)	PUNCT
ejpam-5581	310	106	=	=	SYM
ejpam-5581	310	107	t	t	PROPN
ejpam-5581	310	108	(	(	PUNCT
ejpam-5581	310	109	p	p	NOUN
ejpam-5581	310	110	)	)	PUNCT
ejpam-5581	310	111	0	0	PUNCT
ejpam-5581	311	1	(	(	PUNCT
ejpam-5581	311	2	x	x	NOUN
ejpam-5581	311	3	,	,	PUNCT
ejpam-5581	311	4	h1	h1	PROPN
ejpam-5581	311	5	)	)	PUNCT
ejpam-5581	311	6	,	,	PUNCT
ejpam-5581	311	7	t	t	PROPN
ejpam-5581	311	8	(	(	PUNCT
ejpam-5581	311	9	a	a	X
ejpam-5581	311	10	)	)	PUNCT
ejpam-5581	311	11	1	1	NUM
ejpam-5581	311	12	(	(	PUNCT
ejpam-5581	311	13	x	x	NOUN
ejpam-5581	311	14	,	,	PUNCT
ejpam-5581	311	15	h1	h1	NOUN
ejpam-5581	311	16	)	)	PUNCT
ejpam-5581	311	17	=	=	SYM
ejpam-5581	311	18	t	t	PROPN
ejpam-5581	311	19	(	(	PUNCT
ejpam-5581	311	20	p	p	NOUN
ejpam-5581	311	21	)	)	PUNCT
ejpam-5581	311	22	1	1	NUM
ejpam-5581	311	23	(	(	PUNCT
ejpam-5581	311	24	x	x	NOUN
ejpam-5581	311	25	,	,	PUNCT
ejpam-5581	311	26	h1	h1	PROPN
ejpam-5581	311	27	)	)	PUNCT
ejpam-5581	311	28	,	,	PUNCT
ejpam-5581	311	29	t	t	PROPN
ejpam-5581	311	30	(	(	PUNCT
ejpam-5581	311	31	a	a	X
ejpam-5581	311	32	)	)	PUNCT
ejpam-5581	311	33	2	2	NUM
ejpam-5581	311	34	(	(	PUNCT
ejpam-5581	311	35	x	x	NOUN
ejpam-5581	311	36	,	,	PUNCT
ejpam-5581	311	37	h1	h1	NOUN
ejpam-5581	311	38	)	)	PUNCT
ejpam-5581	312	1	=	=	SYM
ejpam-5581	312	2	t	t	PROPN
ejpam-5581	312	3	(	(	PUNCT
ejpam-5581	312	4	p	p	NOUN
ejpam-5581	312	5	)	)	PUNCT
ejpam-5581	312	6	2	2	NUM
ejpam-5581	312	7	(	(	PUNCT
ejpam-5581	312	8	x	x	NOUN
ejpam-5581	312	9	,	,	PUNCT
ejpam-5581	312	10	h1	h1	PROPN
ejpam-5581	312	11	)	)	PUNCT
ejpam-5581	312	12	,	,	PUNCT
ejpam-5581	312	13	(	(	PUNCT
ejpam-5581	312	14	80	80	NUM
ejpam-5581	312	15	)	)	PUNCT
ejpam-5581	312	16	a.	a.	NOUN
ejpam-5581	312	17	alaidrous	alaidrous	PROPN
ejpam-5581	312	18	,	,	PUNCT
ejpam-5581	312	19	h.	h.	PROPN
ejpam-5581	312	20	ashraf	ashraf	PROPN
ejpam-5581	312	21	/	/	SYM
ejpam-5581	312	22	eur	eur	PROPN
ejpam-5581	312	23	.	.	PUNCT
ejpam-5581	313	1	j.	j.	PROPN
ejpam-5581	313	2	pure	pure	PROPN
ejpam-5581	313	3	appl	appl	PROPN
ejpam-5581	313	4	.	.	PROPN
ejpam-5581	313	5	math	math	PROPN
ejpam-5581	313	6	,	,	PUNCT
ejpam-5581	313	7	18	18	NUM
ejpam-5581	313	8	(	(	PUNCT
ejpam-5581	313	9	1	1	NUM
ejpam-5581	313	10	)	)	PUNCT
ejpam-5581	313	11	(	(	PUNCT
ejpam-5581	313	12	2025	2025	NUM
ejpam-5581	313	13	)	)	PUNCT
ejpam-5581	313	14	,	,	PUNCT
ejpam-5581	313	15	5581	5581	NUM
ejpam-5581	313	16	14	14	NUM
ejpam-5581	313	17	of	of	ADP
ejpam-5581	313	18	30	30	NUM
ejpam-5581	313	19	∂yt	∂yt	NOUN
ejpam-5581	313	20	(	(	PUNCT
ejpam-5581	313	21	a	a	NOUN
ejpam-5581	313	22	)	)	PUNCT
ejpam-5581	313	23	0	0	NUM
ejpam-5581	314	1	(	(	PUNCT
ejpam-5581	314	2	x	x	NOUN
ejpam-5581	314	3	,	,	PUNCT
ejpam-5581	314	4	h1	h1	NOUN
ejpam-5581	314	5	)	)	PUNCT
ejpam-5581	314	6	=	=	PUNCT
ejpam-5581	314	7	ζ∂yt	ζ∂yt	PROPN
ejpam-5581	314	8	(	(	PUNCT
ejpam-5581	314	9	p	p	NOUN
ejpam-5581	314	10	)	)	PUNCT
ejpam-5581	314	11	0	0	PUNCT
ejpam-5581	315	1	(	(	PUNCT
ejpam-5581	315	2	x	x	NOUN
ejpam-5581	315	3	,	,	PUNCT
ejpam-5581	315	4	h1	h1	PROPN
ejpam-5581	315	5	)	)	PUNCT
ejpam-5581	315	6	,	,	PUNCT
ejpam-5581	315	7	∂yt	∂yt	PROPN
ejpam-5581	315	8	(	(	PUNCT
ejpam-5581	315	9	a	a	NOUN
ejpam-5581	315	10	)	)	PUNCT
ejpam-5581	315	11	1	1	NUM
ejpam-5581	315	12	(	(	PUNCT
ejpam-5581	315	13	x	x	NOUN
ejpam-5581	315	14	,	,	PUNCT
ejpam-5581	315	15	h1	h1	NOUN
ejpam-5581	315	16	)	)	PUNCT
ejpam-5581	316	1	=	=	PUNCT
ejpam-5581	316	2	ζ∂yt	ζ∂yt	PROPN
ejpam-5581	316	3	(	(	PUNCT
ejpam-5581	316	4	p	p	NOUN
ejpam-5581	316	5	)	)	PUNCT
ejpam-5581	316	6	1	1	NUM
ejpam-5581	316	7	(	(	PUNCT
ejpam-5581	316	8	x	x	NOUN
ejpam-5581	316	9	,	,	PUNCT
ejpam-5581	316	10	h1	h1	PROPN
ejpam-5581	316	11	)	)	PUNCT
ejpam-5581	316	12	,	,	PUNCT
ejpam-5581	316	13	∂yt	∂yt	PROPN
ejpam-5581	316	14	(	(	PUNCT
ejpam-5581	316	15	a	a	NOUN
ejpam-5581	316	16	)	)	PUNCT
ejpam-5581	316	17	2	2	NUM
ejpam-5581	316	18	(	(	PUNCT
ejpam-5581	316	19	x	x	NOUN
ejpam-5581	316	20	,	,	PUNCT
ejpam-5581	316	21	h1	h1	NOUN
ejpam-5581	316	22	)	)	PUNCT
ejpam-5581	317	1	=	=	PUNCT
ejpam-5581	317	2	ζ∂yt	ζ∂yt	PROPN
ejpam-5581	317	3	(	(	PUNCT
ejpam-5581	317	4	p	p	NOUN
ejpam-5581	317	5	)	)	PUNCT
ejpam-5581	317	6	2	2	NUM
ejpam-5581	317	7	(	(	PUNCT
ejpam-5581	317	8	x	x	NOUN
ejpam-5581	317	9	,	,	PUNCT
ejpam-5581	317	10	h1	h1	PROPN
ejpam-5581	317	11	)	)	PUNCT
ejpam-5581	317	12	,	,	PUNCT
ejpam-5581	317	13	(	(	PUNCT
ejpam-5581	317	14	81	81	NUM
ejpam-5581	317	15	)	)	PUNCT
ejpam-5581	317	16	t	t	NOUN
ejpam-5581	317	17	(	(	PUNCT
ejpam-5581	317	18	p	p	NOUN
ejpam-5581	317	19	)	)	PUNCT
ejpam-5581	317	20	0	0	PUNCT
ejpam-5581	318	1	(	(	PUNCT
ejpam-5581	318	2	x	x	NOUN
ejpam-5581	318	3	,	,	PUNCT
ejpam-5581	318	4	h	h	NOUN
ejpam-5581	318	5	)	)	PUNCT
ejpam-5581	318	6	=	=	SYM
ejpam-5581	318	7	0	0	NUM
ejpam-5581	318	8	,	,	PUNCT
ejpam-5581	318	9	t	t	PROPN
ejpam-5581	318	10	(	(	PUNCT
ejpam-5581	318	11	p	p	NOUN
ejpam-5581	318	12	)	)	PUNCT
ejpam-5581	318	13	1	1	NUM
ejpam-5581	318	14	(	(	PUNCT
ejpam-5581	318	15	x	x	NOUN
ejpam-5581	318	16	,	,	PUNCT
ejpam-5581	318	17	h	h	NOUN
ejpam-5581	318	18	)	)	PUNCT
ejpam-5581	319	1	=	=	SYM
ejpam-5581	319	2	0	0	NUM
ejpam-5581	319	3	,	,	PUNCT
ejpam-5581	319	4	t	t	PROPN
ejpam-5581	319	5	(	(	PUNCT
ejpam-5581	319	6	p	p	NOUN
ejpam-5581	319	7	)	)	PUNCT
ejpam-5581	319	8	2	2	NUM
ejpam-5581	319	9	(	(	PUNCT
ejpam-5581	319	10	x	x	NOUN
ejpam-5581	319	11	,	,	PUNCT
ejpam-5581	319	12	h	h	NOUN
ejpam-5581	319	13	)	)	PUNCT
ejpam-5581	319	14	=	=	SYM
ejpam-5581	319	15	0	0	NUM
ejpam-5581	319	16	,	,	PUNCT
ejpam-5581	319	17	(	(	PUNCT
ejpam-5581	319	18	82	82	X
ejpam-5581	319	19	)	)	PUNCT
ejpam-5581	319	20	∂yc	∂yc	PROPN
ejpam-5581	319	21	(	(	PUNCT
ejpam-5581	319	22	a	a	NOUN
ejpam-5581	319	23	)	)	PUNCT
ejpam-5581	319	24	0	0	NUM
ejpam-5581	320	1	(	(	PUNCT
ejpam-5581	320	2	x	x	X
ejpam-5581	320	3	,	,	PUNCT
ejpam-5581	320	4	0	0	NUM
ejpam-5581	320	5	)	)	PUNCT
ejpam-5581	320	6	=	=	SYM
ejpam-5581	320	7	0	0	NUM
ejpam-5581	320	8	,	,	PUNCT
ejpam-5581	320	9	∂yc	∂yc	PROPN
ejpam-5581	320	10	(	(	PUNCT
ejpam-5581	320	11	a	a	X
ejpam-5581	320	12	)	)	PUNCT
ejpam-5581	320	13	1	1	NUM
ejpam-5581	320	14	(	(	PUNCT
ejpam-5581	320	15	x	x	NOUN
ejpam-5581	320	16	,	,	PUNCT
ejpam-5581	320	17	0	0	NUM
ejpam-5581	320	18	)	)	PUNCT
ejpam-5581	320	19	=	=	SYM
ejpam-5581	320	20	0	0	NUM
ejpam-5581	320	21	,	,	PUNCT
ejpam-5581	320	22	∂yc	∂yc	PROPN
ejpam-5581	320	23	(	(	PUNCT
ejpam-5581	320	24	a	a	X
ejpam-5581	320	25	)	)	PUNCT
ejpam-5581	320	26	2	2	NUM
ejpam-5581	320	27	(	(	PUNCT
ejpam-5581	320	28	x	x	NOUN
ejpam-5581	320	29	,	,	PUNCT
ejpam-5581	320	30	0	0	NUM
ejpam-5581	320	31	)	)	PUNCT
ejpam-5581	320	32	=	=	SYM
ejpam-5581	320	33	0	0	NUM
ejpam-5581	320	34	,	,	PUNCT
ejpam-5581	320	35	(	(	PUNCT
ejpam-5581	320	36	83	83	NUM
ejpam-5581	320	37	)	)	PUNCT
ejpam-5581	320	38	c	c	NOUN
ejpam-5581	320	39	(	(	PUNCT
ejpam-5581	320	40	a	a	NOUN
ejpam-5581	320	41	)	)	PUNCT
ejpam-5581	320	42	0	0	NUM
ejpam-5581	321	1	(	(	PUNCT
ejpam-5581	321	2	x	x	NOUN
ejpam-5581	321	3	,	,	PUNCT
ejpam-5581	321	4	h1	h1	NOUN
ejpam-5581	321	5	)	)	PUNCT
ejpam-5581	322	1	=	=	SYM
ejpam-5581	322	2	c	c	X
ejpam-5581	322	3	(	(	PUNCT
ejpam-5581	322	4	p	p	NOUN
ejpam-5581	322	5	)	)	PUNCT
ejpam-5581	322	6	0	0	PUNCT
ejpam-5581	323	1	(	(	PUNCT
ejpam-5581	323	2	x	x	NOUN
ejpam-5581	323	3	,	,	PUNCT
ejpam-5581	323	4	h1	h1	PROPN
ejpam-5581	323	5	)	)	PUNCT
ejpam-5581	323	6	,	,	PUNCT
ejpam-5581	323	7	c	c	X
ejpam-5581	323	8	(	(	PUNCT
ejpam-5581	323	9	a	a	X
ejpam-5581	323	10	)	)	PUNCT
ejpam-5581	323	11	1	1	NUM
ejpam-5581	323	12	(	(	PUNCT
ejpam-5581	323	13	x	x	NOUN
ejpam-5581	323	14	,	,	PUNCT
ejpam-5581	323	15	h1	h1	NOUN
ejpam-5581	323	16	)	)	PUNCT
ejpam-5581	323	17	=	=	SYM
ejpam-5581	324	1	c	c	X
ejpam-5581	324	2	(	(	PUNCT
ejpam-5581	324	3	p	p	NOUN
ejpam-5581	324	4	)	)	PUNCT
ejpam-5581	324	5	1	1	NUM
ejpam-5581	324	6	(	(	PUNCT
ejpam-5581	324	7	x	x	NOUN
ejpam-5581	324	8	,	,	PUNCT
ejpam-5581	324	9	h1	h1	PROPN
ejpam-5581	324	10	)	)	PUNCT
ejpam-5581	324	11	,	,	PUNCT
ejpam-5581	324	12	c	c	X
ejpam-5581	324	13	(	(	PUNCT
ejpam-5581	324	14	a	a	X
ejpam-5581	324	15	)	)	PUNCT
ejpam-5581	324	16	2	2	NUM
ejpam-5581	324	17	(	(	PUNCT
ejpam-5581	324	18	x	x	NOUN
ejpam-5581	324	19	,	,	PUNCT
ejpam-5581	324	20	h1	h1	NOUN
ejpam-5581	324	21	)	)	PUNCT
ejpam-5581	325	1	=	=	SYM
ejpam-5581	325	2	c	c	X
ejpam-5581	325	3	(	(	PUNCT
ejpam-5581	325	4	p	p	NOUN
ejpam-5581	325	5	)	)	PUNCT
ejpam-5581	325	6	2	2	NUM
ejpam-5581	325	7	(	(	PUNCT
ejpam-5581	325	8	x	x	NOUN
ejpam-5581	325	9	,	,	PUNCT
ejpam-5581	325	10	h1	h1	PROPN
ejpam-5581	325	11	)	)	PUNCT
ejpam-5581	325	12	,	,	PUNCT
ejpam-5581	325	13	(	(	PUNCT
ejpam-5581	325	14	84	84	NUM
ejpam-5581	325	15	)	)	PUNCT
ejpam-5581	325	16	∂yc	∂yc	PROPN
ejpam-5581	325	17	(	(	PUNCT
ejpam-5581	325	18	a	a	NOUN
ejpam-5581	325	19	)	)	PUNCT
ejpam-5581	325	20	0	0	NUM
ejpam-5581	326	1	(	(	PUNCT
ejpam-5581	326	2	x	x	NOUN
ejpam-5581	326	3	,	,	PUNCT
ejpam-5581	326	4	h1	h1	NOUN
ejpam-5581	326	5	)	)	PUNCT
ejpam-5581	326	6	=	=	SYM
ejpam-5581	326	7	π∂yc	π∂yc	PROPN
ejpam-5581	326	8	(	(	PUNCT
ejpam-5581	326	9	p	p	NOUN
ejpam-5581	326	10	)	)	PUNCT
ejpam-5581	326	11	0	0	PUNCT
ejpam-5581	326	12	(	(	PUNCT
ejpam-5581	326	13	x	x	NOUN
ejpam-5581	326	14	,	,	PUNCT
ejpam-5581	326	15	h1	h1	PROPN
ejpam-5581	326	16	)	)	PUNCT
ejpam-5581	326	17	,	,	PUNCT
ejpam-5581	326	18	∂yc	∂yc	PROPN
ejpam-5581	326	19	(	(	PUNCT
ejpam-5581	326	20	a	a	X
ejpam-5581	326	21	)	)	PUNCT
ejpam-5581	326	22	1	1	NUM
ejpam-5581	326	23	(	(	PUNCT
ejpam-5581	326	24	x	x	NOUN
ejpam-5581	326	25	,	,	PUNCT
ejpam-5581	326	26	h1	h1	NOUN
ejpam-5581	326	27	)	)	PUNCT
ejpam-5581	326	28	=	=	SYM
ejpam-5581	326	29	π∂yc	π∂yc	PROPN
ejpam-5581	326	30	(	(	PUNCT
ejpam-5581	326	31	p	p	NOUN
ejpam-5581	326	32	)	)	PUNCT
ejpam-5581	326	33	1	1	NUM
ejpam-5581	326	34	(	(	PUNCT
ejpam-5581	326	35	x	x	NOUN
ejpam-5581	326	36	,	,	PUNCT
ejpam-5581	326	37	h1	h1	PROPN
ejpam-5581	326	38	)	)	PUNCT
ejpam-5581	326	39	,	,	PUNCT
ejpam-5581	326	40	∂yc	∂yc	PROPN
ejpam-5581	326	41	(	(	PUNCT
ejpam-5581	326	42	a	a	X
ejpam-5581	326	43	)	)	PUNCT
ejpam-5581	326	44	2	2	NUM
ejpam-5581	326	45	(	(	PUNCT
ejpam-5581	326	46	x	x	NOUN
ejpam-5581	326	47	,	,	PUNCT
ejpam-5581	326	48	h1	h1	NOUN
ejpam-5581	326	49	)	)	PUNCT
ejpam-5581	326	50	=	=	SYM
ejpam-5581	326	51	π∂yc	π∂yc	PROPN
ejpam-5581	326	52	(	(	PUNCT
ejpam-5581	326	53	p	p	NOUN
ejpam-5581	326	54	)	)	PUNCT
ejpam-5581	326	55	2	2	NUM
ejpam-5581	326	56	(	(	PUNCT
ejpam-5581	326	57	x	x	NOUN
ejpam-5581	326	58	,	,	PUNCT
ejpam-5581	326	59	h1	h1	PROPN
ejpam-5581	326	60	)	)	PUNCT
ejpam-5581	326	61	,	,	PUNCT
ejpam-5581	326	62	(	(	PUNCT
ejpam-5581	326	63	85	85	NUM
ejpam-5581	326	64	)	)	PUNCT
ejpam-5581	326	65	c	c	NOUN
ejpam-5581	326	66	(	(	PUNCT
ejpam-5581	326	67	p	p	NOUN
ejpam-5581	326	68	)	)	PUNCT
ejpam-5581	326	69	0	0	PUNCT
ejpam-5581	327	1	(	(	PUNCT
ejpam-5581	327	2	x	x	NOUN
ejpam-5581	327	3	,	,	PUNCT
ejpam-5581	327	4	h	h	NOUN
ejpam-5581	327	5	)	)	PUNCT
ejpam-5581	327	6	=	=	SYM
ejpam-5581	327	7	0	0	NUM
ejpam-5581	327	8	,	,	PUNCT
ejpam-5581	327	9	c	c	NOUN
ejpam-5581	327	10	(	(	PUNCT
ejpam-5581	327	11	p	p	NOUN
ejpam-5581	327	12	)	)	PUNCT
ejpam-5581	327	13	1	1	NUM
ejpam-5581	327	14	(	(	PUNCT
ejpam-5581	327	15	x	x	NOUN
ejpam-5581	327	16	,	,	PUNCT
ejpam-5581	327	17	h	h	NOUN
ejpam-5581	327	18	)	)	PUNCT
ejpam-5581	327	19	=	=	SYM
ejpam-5581	328	1	0	0	NUM
ejpam-5581	328	2	,	,	PUNCT
ejpam-5581	328	3	c	c	NOUN
ejpam-5581	328	4	(	(	PUNCT
ejpam-5581	328	5	p	p	NOUN
ejpam-5581	328	6	)	)	PUNCT
ejpam-5581	328	7	2	2	NUM
ejpam-5581	328	8	(	(	PUNCT
ejpam-5581	328	9	x	x	NOUN
ejpam-5581	328	10	,	,	PUNCT
ejpam-5581	328	11	h	h	NOUN
ejpam-5581	328	12	)	)	PUNCT
ejpam-5581	328	13	=	=	SYM
ejpam-5581	328	14	0	0	NUM
ejpam-5581	328	15	,	,	PUNCT
ejpam-5581	328	16	(	(	PUNCT
ejpam-5581	328	17	86	86	NUM
ejpam-5581	328	18	)	)	PUNCT
ejpam-5581	328	19	dxp0(0	dxp0(0	PROPN
ejpam-5581	328	20	)	)	PUNCT
ejpam-5581	328	21	=	=	SYM
ejpam-5581	328	22	−ξ	−ξ	NOUN
ejpam-5581	328	23	,	,	PUNCT
ejpam-5581	328	24	dxp1(0	dxp1(0	PROPN
ejpam-5581	328	25	)	)	PUNCT
ejpam-5581	328	26	=	=	SYM
ejpam-5581	328	27	0	0	NUM
ejpam-5581	328	28	,	,	PUNCT
ejpam-5581	328	29	dxp2(0	dxp2(0	NOUN
ejpam-5581	328	30	)	)	PUNCT
ejpam-5581	328	31	=	=	SYM
ejpam-5581	329	1	0	0	X
ejpam-5581	329	2	.	.	PUNCT
ejpam-5581	329	3	(	(	PUNCT
ejpam-5581	329	4	87	87	NUM
ejpam-5581	329	5	)	)	PUNCT
ejpam-5581	329	6	3.1	3.1	NUM
ejpam-5581	329	7	.	.	PUNCT
ejpam-5581	329	8	velocity	velocity	NOUN
ejpam-5581	329	9	after	after	ADP
ejpam-5581	329	10	solving	solve	VERB
ejpam-5581	329	11	eq	eq	ADP
ejpam-5581	329	12	.	.	PUNCT
ejpam-5581	330	1	(	(	PUNCT
ejpam-5581	330	2	64	64	NUM
ejpam-5581	330	3	)	)	PUNCT
ejpam-5581	330	4	and	and	CCONJ
ejpam-5581	330	5	eq	eq	NOUN
ejpam-5581	330	6	.	.	PUNCT
ejpam-5581	331	1	(	(	PUNCT
ejpam-5581	331	2	65	65	NUM
ejpam-5581	331	3	)	)	PUNCT
ejpam-5581	331	4	using	use	VERB
ejpam-5581	331	5	the	the	DET
ejpam-5581	331	6	concern	concern	NOUN
ejpam-5581	331	7	adomian	adomian	NOUN
ejpam-5581	331	8	polynomials	polynomial	NOUN
ejpam-5581	331	9	from	from	ADP
ejpam-5581	331	10	eq	eq	NOUN
ejpam-5581	331	11	.	.	PUNCT
ejpam-5581	332	1	(	(	PUNCT
ejpam-5581	332	2	60	60	NUM
ejpam-5581	332	3	)	)	PUNCT
ejpam-5581	332	4	,	,	PUNCT
ejpam-5581	332	5	in	in	ADP
ejpam-5581	332	6	turn	turn	NOUN
ejpam-5581	332	7	utilizing	utilize	VERB
ejpam-5581	332	8	appropriate	appropriate	ADJ
ejpam-5581	332	9	boundary	boundary	ADJ
ejpam-5581	332	10	conditions	condition	NOUN
ejpam-5581	332	11	given	give	VERB
ejpam-5581	332	12	in	in	ADP
ejpam-5581	332	13	(	(	PUNCT
ejpam-5581	332	14	74	74	NUM
ejpam-5581	332	15	)	)	PUNCT
ejpam-5581	332	16	and	and	CCONJ
ejpam-5581	332	17	(	(	PUNCT
ejpam-5581	332	18	75	75	NUM
ejpam-5581	332	19	)	)	PUNCT
ejpam-5581	332	20	into	into	ADP
ejpam-5581	332	21	the	the	DET
ejpam-5581	332	22	resulting	result	VERB
ejpam-5581	332	23	equations	equation	NOUN
ejpam-5581	332	24	,	,	PUNCT
ejpam-5581	332	25	we	we	PRON
ejpam-5581	332	26	respectively	respectively	ADV
ejpam-5581	332	27	acquire	acquire	VERB
ejpam-5581	332	28	the	the	DET
ejpam-5581	332	29	zeroth	zeroth	NOUN
ejpam-5581	332	30	,	,	PUNCT
ejpam-5581	332	31	first	first	ADV
ejpam-5581	332	32	,	,	PUNCT
ejpam-5581	332	33	and	and	CCONJ
ejpam-5581	332	34	second	second	ADJ
ejpam-5581	332	35	order	order	NOUN
ejpam-5581	332	36	solutions	solution	NOUN
ejpam-5581	332	37	of	of	ADP
ejpam-5581	332	38	both	both	CCONJ
ejpam-5581	332	39	acl	acl	PROPN
ejpam-5581	332	40	and	and	CCONJ
ejpam-5581	332	41	pcl	pcl	PROPN
ejpam-5581	332	42	as	as	SCONJ
ejpam-5581	332	43	follows	follow	VERB
ejpam-5581	332	44	:	:	PUNCT
ejpam-5581	332	45	u	u	NOUN
ejpam-5581	332	46	(	(	PUNCT
ejpam-5581	332	47	a	a	NOUN
ejpam-5581	332	48	)	)	PUNCT
ejpam-5581	332	49	0	0	NUM
ejpam-5581	333	1	(	(	PUNCT
ejpam-5581	333	2	x	x	NOUN
ejpam-5581	333	3	,	,	PUNCT
ejpam-5581	333	4	y	y	NOUN
ejpam-5581	333	5	)	)	PUNCT
ejpam-5581	333	6	=	=	PUNCT
ejpam-5581	334	1	−1−	−1−	PROPN
ejpam-5581	334	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	334	3	cos(2πx	cos(2πx	NOUN
ejpam-5581	334	4	)	)	PUNCT
ejpam-5581	334	5	+	+	CCONJ
ejpam-5581	334	6	1	1	NUM
ejpam-5581	334	7	2	2	NUM
ejpam-5581	334	8	dxp0	dxp0	NOUN
ejpam-5581	334	9	(	(	PUNCT
ejpam-5581	334	10	y2	y2	NOUN
ejpam-5581	334	11	−	−	PROPN
ejpam-5581	334	12	h2	h2	PROPN
ejpam-5581	334	13	)	)	PUNCT
ejpam-5581	334	14	,	,	PUNCT
ejpam-5581	334	15	(	(	PUNCT
ejpam-5581	334	16	88	88	NUM
ejpam-5581	334	17	)	)	PUNCT
ejpam-5581	334	18	u	u	NOUN
ejpam-5581	334	19	(	(	PUNCT
ejpam-5581	334	20	a	a	NOUN
ejpam-5581	334	21	)	)	PUNCT
ejpam-5581	334	22	1	1	NUM
ejpam-5581	334	23	(	(	PUNCT
ejpam-5581	334	24	x	x	NOUN
ejpam-5581	334	25	,	,	PUNCT
ejpam-5581	334	26	y	y	NOUN
ejpam-5581	334	27	)	)	PUNCT
ejpam-5581	334	28	=	=	SYM
ejpam-5581	334	29	1	1	NUM
ejpam-5581	334	30	4	4	NUM
ejpam-5581	334	31	(	(	PUNCT
ejpam-5581	334	32	dxp0	dxp0	PROPN
ejpam-5581	334	33	)	)	PUNCT
ejpam-5581	334	34	3	3	NUM
ejpam-5581	335	1	[	[	X
ejpam-5581	335	2	γ1	γ1	PROPN
ejpam-5581	335	3	(	(	PUNCT
ejpam-5581	335	4	y4	y4	PROPN
ejpam-5581	335	5	−	−	PROPN
ejpam-5581	335	6	h41	h41	NOUN
ejpam-5581	335	7	)	)	PUNCT
ejpam-5581	335	8	+	+	CCONJ
ejpam-5581	335	9	4γ2	4γ2	NUM
ejpam-5581	335	10	(	(	PUNCT
ejpam-5581	335	11	h41	h41	NOUN
ejpam-5581	335	12	−	−	PROPN
ejpam-5581	335	13	h4	h4	PROPN
ejpam-5581	335	14	)	)	PUNCT
ejpam-5581	335	15	]	]	PUNCT
ejpam-5581	336	1	+	+	CCONJ
ejpam-5581	336	2	1	1	NUM
ejpam-5581	336	3	2	2	NUM
ejpam-5581	336	4	dxp1	dxp1	NOUN
ejpam-5581	336	5	(	(	PUNCT
ejpam-5581	336	6	y2	y2	NOUN
ejpam-5581	336	7	−	−	PROPN
ejpam-5581	336	8	h2	h2	PROPN
ejpam-5581	336	9	)	)	PUNCT
ejpam-5581	336	10	,	,	PUNCT
ejpam-5581	336	11	(	(	PUNCT
ejpam-5581	336	12	89	89	X
ejpam-5581	336	13	)	)	PUNCT
ejpam-5581	336	14	u	u	NOUN
ejpam-5581	336	15	(	(	PUNCT
ejpam-5581	336	16	a	a	NOUN
ejpam-5581	336	17	)	)	PUNCT
ejpam-5581	336	18	2	2	NUM
ejpam-5581	336	19	(	(	PUNCT
ejpam-5581	336	20	x	x	NOUN
ejpam-5581	336	21	,	,	PUNCT
ejpam-5581	336	22	y	y	NOUN
ejpam-5581	336	23	)	)	PUNCT
ejpam-5581	336	24	=	=	SYM
ejpam-5581	336	25	1	1	NUM
ejpam-5581	336	26	6	6	NUM
ejpam-5581	336	27	(	(	PUNCT
ejpam-5581	336	28	dxp0	dxp0	PROPN
ejpam-5581	336	29	)	)	PUNCT
ejpam-5581	336	30	4	4	NUM
ejpam-5581	336	31	(	(	PUNCT
ejpam-5581	336	32	2dxp1	2dxp1	NUM
ejpam-5581	336	33	−	−	NOUN
ejpam-5581	336	34	3mdxp0	3mdxp0	NUM
ejpam-5581	336	35	)	)	PUNCT
ejpam-5581	336	36	[	[	PUNCT
ejpam-5581	336	37	γ3	γ3	NOUN
ejpam-5581	336	38	(	(	PUNCT
ejpam-5581	336	39	y6	y6	ADJ
ejpam-5581	336	40	−	−	PROPN
ejpam-5581	336	41	h61	h61	PROPN
ejpam-5581	336	42	)	)	PUNCT
ejpam-5581	337	1	+	+	CCONJ
ejpam-5581	337	2	γ4	γ4	NOUN
ejpam-5581	337	3	(	(	PUNCT
ejpam-5581	337	4	h61	h61	PROPN
ejpam-5581	337	5	−	−	PROPN
ejpam-5581	337	6	h6	h6	PROPN
ejpam-5581	337	7	)	)	PUNCT
ejpam-5581	337	8	]	]	PUNCT
ejpam-5581	338	1	+	+	CCONJ
ejpam-5581	338	2	1	1	NUM
ejpam-5581	338	3	4	4	NUM
ejpam-5581	338	4	(	(	PUNCT
ejpam-5581	338	5	dxp0)(dxp1	dxp0)(dxp1	NOUN
ejpam-5581	338	6	)	)	PUNCT
ejpam-5581	338	7	×	×	NOUN
ejpam-5581	338	8	(	(	PUNCT
ejpam-5581	338	9	2dxp1	2dxp1	NUM
ejpam-5581	338	10	+	+	NUM
ejpam-5581	338	11	3dxp0	3dxp0	NUM
ejpam-5581	338	12	)	)	PUNCT
ejpam-5581	338	13	[	[	PUNCT
ejpam-5581	338	14	g	g	NOUN
ejpam-5581	338	15	(	(	PUNCT
ejpam-5581	338	16	a	a	NOUN
ejpam-5581	338	17	)	)	PUNCT
ejpam-5581	338	18	1	1	NUM
ejpam-5581	338	19	(	(	PUNCT
ejpam-5581	338	20	y4	y4	NOUN
ejpam-5581	338	21	−	−	PROPN
ejpam-5581	338	22	h41	h41	NOUN
ejpam-5581	338	23	)	)	PUNCT
ejpam-5581	339	1	+	+	ADP
ejpam-5581	339	2	g	g	NOUN
ejpam-5581	339	3	(	(	PUNCT
ejpam-5581	339	4	p	p	NOUN
ejpam-5581	339	5	)	)	PUNCT
ejpam-5581	339	6	1	1	NUM
ejpam-5581	339	7	(	(	PUNCT
ejpam-5581	339	8	h41	h41	NOUN
ejpam-5581	339	9	−	−	PROPN
ejpam-5581	339	10	h4	h4	PROPN
ejpam-5581	339	11	)	)	PUNCT
ejpam-5581	339	12	]	]	PUNCT
ejpam-5581	340	1	+	+	CCONJ
ejpam-5581	340	2	1	1	NUM
ejpam-5581	340	3	2	2	NUM
ejpam-5581	340	4	dxp2	dxp2	NOUN
ejpam-5581	340	5	(	(	PUNCT
ejpam-5581	340	6	y2	y2	NOUN
ejpam-5581	340	7	−	−	PROPN
ejpam-5581	340	8	h2	h2	PROPN
ejpam-5581	340	9	)	)	PUNCT
ejpam-5581	340	10	.	.	PUNCT
ejpam-5581	341	1	(	(	PUNCT
ejpam-5581	341	2	90	90	NUM
ejpam-5581	341	3	)	)	PUNCT
ejpam-5581	341	4	u	u	NOUN
ejpam-5581	341	5	(	(	PUNCT
ejpam-5581	341	6	p	p	NOUN
ejpam-5581	341	7	)	)	PUNCT
ejpam-5581	341	8	0	0	PUNCT
ejpam-5581	342	1	(	(	PUNCT
ejpam-5581	342	2	x	x	NOUN
ejpam-5581	342	3	,	,	PUNCT
ejpam-5581	342	4	y	y	NOUN
ejpam-5581	342	5	)	)	PUNCT
ejpam-5581	342	6	=	=	PUNCT
ejpam-5581	343	1	−1−	−1−	PROPN
ejpam-5581	343	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	343	3	cos(2πx	cos(2πx	NOUN
ejpam-5581	343	4	)	)	PUNCT
ejpam-5581	343	5	+	+	CCONJ
ejpam-5581	343	6	1	1	NUM
ejpam-5581	343	7	2	2	NUM
ejpam-5581	343	8	dxp0	dxp0	NOUN
ejpam-5581	343	9	(	(	PUNCT
ejpam-5581	343	10	y2	y2	NOUN
ejpam-5581	343	11	−	−	PROPN
ejpam-5581	343	12	h2	h2	PROPN
ejpam-5581	343	13	)	)	PUNCT
ejpam-5581	343	14	,	,	PUNCT
ejpam-5581	343	15	(	(	PUNCT
ejpam-5581	343	16	91	91	X
ejpam-5581	343	17	)	)	PUNCT
ejpam-5581	343	18	u	u	NOUN
ejpam-5581	343	19	(	(	PUNCT
ejpam-5581	343	20	p	p	NOUN
ejpam-5581	343	21	)	)	PUNCT
ejpam-5581	343	22	1	1	NUM
ejpam-5581	343	23	(	(	PUNCT
ejpam-5581	343	24	x	x	NOUN
ejpam-5581	343	25	,	,	PUNCT
ejpam-5581	343	26	y	y	NOUN
ejpam-5581	343	27	)	)	PUNCT
ejpam-5581	344	1	=	=	SYM
ejpam-5581	344	2	γ2	γ2	ADJ
ejpam-5581	344	3	4	4	NUM
ejpam-5581	344	4	(	(	PUNCT
ejpam-5581	344	5	dxp0	dxp0	PROPN
ejpam-5581	344	6	)	)	PUNCT
ejpam-5581	344	7	3	3	NUM
ejpam-5581	344	8	(	(	PUNCT
ejpam-5581	344	9	y4	y4	PROPN
ejpam-5581	344	10	−	−	PROPN
ejpam-5581	344	11	h4	h4	PROPN
ejpam-5581	344	12	)	)	PUNCT
ejpam-5581	345	1	+	+	CCONJ
ejpam-5581	345	2	1	1	NUM
ejpam-5581	345	3	2	2	NUM
ejpam-5581	345	4	dxp1	dxp1	NOUN
ejpam-5581	345	5	(	(	PUNCT
ejpam-5581	345	6	y2	y2	NOUN
ejpam-5581	345	7	−	−	PROPN
ejpam-5581	345	8	h2	h2	PROPN
ejpam-5581	345	9	)	)	PUNCT
ejpam-5581	345	10	,	,	PUNCT
ejpam-5581	345	11	(	(	PUNCT
ejpam-5581	345	12	92	92	NUM
ejpam-5581	345	13	)	)	PUNCT
ejpam-5581	345	14	u	u	NOUN
ejpam-5581	345	15	(	(	PUNCT
ejpam-5581	345	16	p	p	NOUN
ejpam-5581	345	17	)	)	PUNCT
ejpam-5581	345	18	2	2	NUM
ejpam-5581	345	19	(	(	PUNCT
ejpam-5581	345	20	x	x	NOUN
ejpam-5581	345	21	,	,	PUNCT
ejpam-5581	345	22	y	y	NOUN
ejpam-5581	345	23	)	)	PUNCT
ejpam-5581	345	24	=	=	PUNCT
ejpam-5581	346	1	γ4	γ4	NOUN
ejpam-5581	346	2	6	6	NUM
ejpam-5581	346	3	(	(	PUNCT
ejpam-5581	346	4	dxp0	dxp0	PROPN
ejpam-5581	346	5	)	)	PUNCT
ejpam-5581	346	6	4	4	NUM
ejpam-5581	346	7	(	(	PUNCT
ejpam-5581	346	8	2dxp1	2dxp1	NUM
ejpam-5581	346	9	−	−	NOUN
ejpam-5581	346	10	3mdxp0	3mdxp0	NUM
ejpam-5581	346	11	)	)	PUNCT
ejpam-5581	346	12	(	(	PUNCT
ejpam-5581	346	13	y6	y6	ADJ
ejpam-5581	346	14	−	−	PROPN
ejpam-5581	346	15	h6	h6	PROPN
ejpam-5581	346	16	)	)	PUNCT
ejpam-5581	347	1	+	+	CCONJ
ejpam-5581	347	2	1	1	NUM
ejpam-5581	347	3	4	4	NUM
ejpam-5581	347	4	(	(	PUNCT
ejpam-5581	347	5	dxp0)(dxp1	dxp0)(dxp1	NUM
ejpam-5581	347	6	)	)	PUNCT
ejpam-5581	347	7	(	(	PUNCT
ejpam-5581	347	8	2dxp1	2dxp1	NUM
ejpam-5581	347	9	+	+	NUM
ejpam-5581	347	10	3dxp0	3dxp0	NUM
ejpam-5581	347	11	)	)	PUNCT
ejpam-5581	347	12	(	(	PUNCT
ejpam-5581	347	13	y4	y4	PROPN
ejpam-5581	347	14	−	−	PROPN
ejpam-5581	347	15	h4	h4	PROPN
ejpam-5581	347	16	)	)	PUNCT
ejpam-5581	348	1	+	+	CCONJ
ejpam-5581	348	2	1	1	NUM
ejpam-5581	348	3	2	2	NUM
ejpam-5581	348	4	dxp2	dxp2	NOUN
ejpam-5581	348	5	(	(	PUNCT
ejpam-5581	348	6	y2	y2	NOUN
ejpam-5581	348	7	−	−	PROPN
ejpam-5581	348	8	h2	h2	PROPN
ejpam-5581	348	9	)	)	PUNCT
ejpam-5581	348	10	.	.	PUNCT
ejpam-5581	349	1	(	(	PUNCT
ejpam-5581	349	2	93	93	NUM
ejpam-5581	349	3	)	)	PUNCT
ejpam-5581	349	4	substitution	substitution	NOUN
ejpam-5581	349	5	of	of	ADP
ejpam-5581	349	6	eqs	eqs	PROPN
ejpam-5581	349	7	.	.	PUNCT
ejpam-5581	349	8	(	(	PUNCT
ejpam-5581	349	9	88)-(90	88)-(90	NUM
ejpam-5581	349	10	)	)	PUNCT
ejpam-5581	349	11	into	into	ADP
ejpam-5581	349	12	eq	eq	NOUN
ejpam-5581	349	13	.	.	PUNCT
ejpam-5581	350	1	(	(	PUNCT
ejpam-5581	350	2	55	55	NUM
ejpam-5581	350	3	)	)	PUNCT
ejpam-5581	350	4	for	for	ADP
ejpam-5581	350	5	k	k	PROPN
ejpam-5581	350	6	=	=	PUNCT
ejpam-5581	350	7	a	a	PROPN
ejpam-5581	350	8	and	and	CCONJ
ejpam-5581	350	9	eqs	eqs	X
ejpam-5581	350	10	.	.	PUNCT
ejpam-5581	351	1	(	(	PUNCT
ejpam-5581	351	2	91)-(93	91)-(93	NOUN
ejpam-5581	351	3	)	)	PUNCT
ejpam-5581	351	4	into	into	ADP
ejpam-5581	351	5	eq	eq	NOUN
ejpam-5581	351	6	.	.	PUNCT
ejpam-5581	352	1	(	(	PUNCT
ejpam-5581	352	2	55	55	NUM
ejpam-5581	352	3	)	)	PUNCT
ejpam-5581	352	4	for	for	ADP
ejpam-5581	352	5	k	k	PROPN
ejpam-5581	352	6	=	=	PUNCT
ejpam-5581	352	7	p	p	NOUN
ejpam-5581	352	8	yield	yield	NOUN
ejpam-5581	352	9	respectively	respectively	ADV
ejpam-5581	352	10	the	the	DET
ejpam-5581	352	11	acl	acl	PROPN
ejpam-5581	352	12	and	and	CCONJ
ejpam-5581	352	13	pcl	pcl	PROPN
ejpam-5581	352	14	velocities	velocity	NOUN
ejpam-5581	352	15	.	.	PUNCT
ejpam-5581	353	1	using	use	VERB
ejpam-5581	353	2	decomposition	decomposition	NOUN
ejpam-5581	353	3	series	series	NOUN
ejpam-5581	353	4	(	(	PUNCT
ejpam-5581	353	5	56	56	NUM
ejpam-5581	353	6	)	)	PUNCT
ejpam-5581	353	7	into	into	ADP
ejpam-5581	353	8	eq	eq	NOUN
ejpam-5581	353	9	.	.	PUNCT
ejpam-5581	354	1	(	(	PUNCT
ejpam-5581	354	2	22	22	NUM
ejpam-5581	354	3	)	)	PUNCT
ejpam-5581	354	4	,	,	PUNCT
ejpam-5581	354	5	in	in	ADP
ejpam-5581	354	6	turn	turn	NOUN
ejpam-5581	354	7	the	the	DET
ejpam-5581	354	8	resulting	result	VERB
ejpam-5581	354	9	equation	equation	NOUN
ejpam-5581	354	10	for	for	ADP
ejpam-5581	354	11	k	k	PROPN
ejpam-5581	354	12	=	=	PUNCT
ejpam-5581	354	13	a	a	PRON
ejpam-5581	354	14	upon	upon	SCONJ
ejpam-5581	354	15	using	use	VERB
ejpam-5581	354	16	eqs	eqs	PROPN
ejpam-5581	354	17	.	.	PUNCT
ejpam-5581	354	18	(	(	PUNCT
ejpam-5581	354	19	88)-(90	88)-(90	NUM
ejpam-5581	354	20	)	)	PUNCT
ejpam-5581	354	21	and	and	CCONJ
ejpam-5581	354	22	for	for	ADP
ejpam-5581	354	23	k	k	PROPN
ejpam-5581	354	24	=	=	PUNCT
ejpam-5581	354	25	p	p	NOUN
ejpam-5581	354	26	upon	upon	SCONJ
ejpam-5581	354	27	using	use	VERB
ejpam-5581	354	28	eqs	eqs	PROPN
ejpam-5581	354	29	.	.	PUNCT
ejpam-5581	355	1	(	(	PUNCT
ejpam-5581	355	2	91)-(93	91)-(93	NOUN
ejpam-5581	355	3	)	)	PUNCT
ejpam-5581	355	4	along	along	ADP
ejpam-5581	355	5	with	with	ADP
ejpam-5581	355	6	associated	associated	ADJ
ejpam-5581	355	7	a.	a.	NOUN
ejpam-5581	355	8	alaidrous	alaidrous	PROPN
ejpam-5581	355	9	,	,	PUNCT
ejpam-5581	355	10	h.	h.	PROPN
ejpam-5581	355	11	ashraf	ashraf	PROPN
ejpam-5581	355	12	/	/	SYM
ejpam-5581	355	13	eur	eur	PROPN
ejpam-5581	355	14	.	.	PUNCT
ejpam-5581	356	1	j.	j.	PROPN
ejpam-5581	356	2	pure	pure	PROPN
ejpam-5581	356	3	appl	appl	PROPN
ejpam-5581	356	4	.	.	PROPN
ejpam-5581	356	5	math	math	PROPN
ejpam-5581	356	6	,	,	PUNCT
ejpam-5581	356	7	18	18	NUM
ejpam-5581	356	8	(	(	PUNCT
ejpam-5581	356	9	1	1	NUM
ejpam-5581	356	10	)	)	PUNCT
ejpam-5581	356	11	(	(	PUNCT
ejpam-5581	356	12	2025	2025	NUM
ejpam-5581	356	13	)	)	PUNCT
ejpam-5581	356	14	,	,	PUNCT
ejpam-5581	356	15	5581	5581	NUM
ejpam-5581	356	16	15	15	NUM
ejpam-5581	356	17	of	of	ADP
ejpam-5581	356	18	30	30	NUM
ejpam-5581	356	19	boundary	boundary	ADJ
ejpam-5581	356	20	conditions	condition	NOUN
ejpam-5581	356	21	(	(	PUNCT
ejpam-5581	356	22	76	76	NUM
ejpam-5581	356	23	)	)	PUNCT
ejpam-5581	356	24	and	and	CCONJ
ejpam-5581	356	25	(	(	PUNCT
ejpam-5581	356	26	77	77	NUM
ejpam-5581	356	27	)	)	PUNCT
ejpam-5581	356	28	,	,	PUNCT
ejpam-5581	356	29	we	we	PRON
ejpam-5581	356	30	respectively	respectively	ADV
ejpam-5581	356	31	obtain	obtain	VERB
ejpam-5581	356	32	the	the	DET
ejpam-5581	356	33	zeroth	zeroth	NOUN
ejpam-5581	356	34	,	,	PUNCT
ejpam-5581	356	35	first	first	ADV
ejpam-5581	356	36	,	,	PUNCT
ejpam-5581	356	37	and	and	CCONJ
ejpam-5581	356	38	second	second	ADJ
ejpam-5581	356	39	order	order	NOUN
ejpam-5581	356	40	solutions	solution	NOUN
ejpam-5581	356	41	of	of	ADP
ejpam-5581	356	42	both	both	CCONJ
ejpam-5581	356	43	acl	acl	PROPN
ejpam-5581	356	44	and	and	CCONJ
ejpam-5581	356	45	pcl	pcl	PROPN
ejpam-5581	356	46	as	as	SCONJ
ejpam-5581	356	47	follows	follow	VERB
ejpam-5581	356	48	:	:	PUNCT
ejpam-5581	356	49	v	v	X
ejpam-5581	356	50	(	(	PUNCT
ejpam-5581	356	51	a	a	NOUN
ejpam-5581	356	52	)	)	PUNCT
ejpam-5581	356	53	0	0	NUM
ejpam-5581	357	1	(	(	PUNCT
ejpam-5581	357	2	x	x	NOUN
ejpam-5581	357	3	,	,	PUNCT
ejpam-5581	357	4	y	y	NOUN
ejpam-5581	357	5	)	)	PUNCT
ejpam-5581	357	6	=	=	SYM
ejpam-5581	357	7	−4π2ϵαβ	−4π2ϵαβ	X
ejpam-5581	357	8	sin(2πx)y	sin(2πx)y	PROPN
ejpam-5581	357	9	−	−	NUM
ejpam-5581	357	10	1	1	NUM
ejpam-5581	357	11	6	6	NUM
ejpam-5581	357	12	dxxp0	dxxp0	NOUN
ejpam-5581	357	13	(	(	PUNCT
ejpam-5581	357	14	y3	y3	NOUN
ejpam-5581	357	15	−	−	PROPN
ejpam-5581	357	16	3h2y	3h2y	NOUN
ejpam-5581	357	17	)	)	PUNCT
ejpam-5581	357	18	+	+	PUNCT
ejpam-5581	358	1	dxp0hdxh	dxp0hdxh	PROPN
ejpam-5581	358	2	,	,	PUNCT
ejpam-5581	358	3	(	(	PUNCT
ejpam-5581	358	4	94	94	NUM
ejpam-5581	358	5	)	)	PUNCT
ejpam-5581	358	6	v	v	NOUN
ejpam-5581	358	7	(	(	PUNCT
ejpam-5581	358	8	a	a	NOUN
ejpam-5581	358	9	)	)	PUNCT
ejpam-5581	358	10	1	1	NUM
ejpam-5581	358	11	(	(	PUNCT
ejpam-5581	358	12	x	x	NOUN
ejpam-5581	358	13	,	,	PUNCT
ejpam-5581	358	14	y	y	NOUN
ejpam-5581	358	15	)	)	PUNCT
ejpam-5581	358	16	=	=	SYM
ejpam-5581	359	1	−	−	PROPN
ejpam-5581	359	2	3	3	NUM
ejpam-5581	359	3	20	20	NUM
ejpam-5581	359	4	(	(	PUNCT
ejpam-5581	359	5	dxp0	dxp0	PROPN
ejpam-5581	359	6	)	)	PUNCT
ejpam-5581	360	1	2	2	NUM
ejpam-5581	360	2	dxxp0	dxxp0	X
ejpam-5581	360	3	[	[	PUNCT
ejpam-5581	360	4	γ1	γ1	PROPN
ejpam-5581	360	5	(	(	PUNCT
ejpam-5581	360	6	y5	y5	NOUN
ejpam-5581	360	7	−	−	PROPN
ejpam-5581	360	8	5h41y	5h41y	NUM
ejpam-5581	360	9	)	)	PUNCT
ejpam-5581	361	1	+	+	CCONJ
ejpam-5581	361	2	4γ2	4γ2	NUM
ejpam-5581	361	3	(	(	PUNCT
ejpam-5581	361	4	h41	h41	NOUN
ejpam-5581	361	5	−	−	PROPN
ejpam-5581	361	6	h4	h4	PROPN
ejpam-5581	361	7	)	)	PUNCT
ejpam-5581	361	8	y	y	PROPN
ejpam-5581	361	9	]	]	PUNCT
ejpam-5581	362	1	+	+	CCONJ
ejpam-5581	362	2	(	(	PUNCT
ejpam-5581	362	3	dxp0	dxp0	PROPN
ejpam-5581	362	4	)	)	PUNCT
ejpam-5581	362	5	3	3	NUM
ejpam-5581	363	1	[	[	X
ejpam-5581	363	2	γ1h	γ1h	ADP
ejpam-5581	363	3	3	3	NUM
ejpam-5581	363	4	1dxh1	1dxh1	NUM
ejpam-5581	363	5	−	−	NOUN
ejpam-5581	363	6	4γ2	4γ2	NUM
ejpam-5581	363	7	(	(	PUNCT
ejpam-5581	363	8	h31dxh1	h31dxh1	PRON
ejpam-5581	363	9	−	−	PROPN
ejpam-5581	363	10	h3dxh	h3dxh	NOUN
ejpam-5581	363	11	)	)	PUNCT
ejpam-5581	363	12	]	]	PUNCT
ejpam-5581	364	1	y	y	PROPN
ejpam-5581	364	2	−	−	NUM
ejpam-5581	364	3	1	1	NUM
ejpam-5581	364	4	6	6	NUM
ejpam-5581	364	5	dxxp1	dxxp1	NOUN
ejpam-5581	364	6	(	(	PUNCT
ejpam-5581	364	7	y3	y3	NOUN
ejpam-5581	364	8	−	−	PROPN
ejpam-5581	364	9	3h2y	3h2y	NOUN
ejpam-5581	364	10	)	)	PUNCT
ejpam-5581	365	1	+	+	CCONJ
ejpam-5581	365	2	dxp1hdxh	dxp1hdxh	NOUN
ejpam-5581	365	3	,	,	PUNCT
ejpam-5581	365	4	(	(	PUNCT
ejpam-5581	365	5	95	95	NUM
ejpam-5581	365	6	)	)	PUNCT
ejpam-5581	365	7	v	v	NOUN
ejpam-5581	365	8	(	(	PUNCT
ejpam-5581	365	9	a	a	NOUN
ejpam-5581	365	10	)	)	PUNCT
ejpam-5581	365	11	2	2	NUM
ejpam-5581	365	12	(	(	PUNCT
ejpam-5581	365	13	x	x	NOUN
ejpam-5581	365	14	,	,	PUNCT
ejpam-5581	365	15	y	y	NOUN
ejpam-5581	365	16	)	)	PUNCT
ejpam-5581	365	17	=	=	SYM
ejpam-5581	366	1	−	−	PROPN
ejpam-5581	366	2	2	2	NUM
ejpam-5581	366	3	21	21	NUM
ejpam-5581	366	4	(	(	PUNCT
ejpam-5581	366	5	dxp0	dxp0	PROPN
ejpam-5581	366	6	)	)	PUNCT
ejpam-5581	366	7	3	3	NUM
ejpam-5581	366	8	(	(	PUNCT
ejpam-5581	366	9	(	(	PUNCT
ejpam-5581	366	10	2dxp1	2dxp1	NUM
ejpam-5581	366	11	−	−	NOUN
ejpam-5581	366	12	3mdxp0	3mdxp0	NUM
ejpam-5581	366	13	)	)	PUNCT
ejpam-5581	366	14	dxxp0	dxxp0	NOUN
ejpam-5581	367	1	+	+	CCONJ
ejpam-5581	367	2	4dxp0	4dxp0	NUM
ejpam-5581	367	3	(	(	PUNCT
ejpam-5581	367	4	2dxxp1	2dxxp1	NUM
ejpam-5581	367	5	−	−	NOUN
ejpam-5581	367	6	3mdxxp0	3mdxxp0	NUM
ejpam-5581	367	7	)	)	PUNCT
ejpam-5581	367	8	)	)	PUNCT
ejpam-5581	368	1	[	[	PUNCT
ejpam-5581	368	2	γ3	γ3	NOUN
ejpam-5581	368	3	(	(	PUNCT
ejpam-5581	368	4	y7	y7	PROPN
ejpam-5581	368	5	−	−	PROPN
ejpam-5581	368	6	7h61y	7h61y	NUM
ejpam-5581	368	7	)	)	PUNCT
ejpam-5581	369	1	+	+	CCONJ
ejpam-5581	369	2	7γ4	7γ4	NUM
ejpam-5581	369	3	(	(	PUNCT
ejpam-5581	369	4	h61	h61	PROPN
ejpam-5581	369	5	−	−	PROPN
ejpam-5581	369	6	h6	h6	PROPN
ejpam-5581	369	7	)	)	PUNCT
ejpam-5581	370	1	y	y	PROPN
ejpam-5581	370	2	]	]	PUNCT
ejpam-5581	371	1	+	+	CCONJ
ejpam-5581	371	2	(	(	PUNCT
ejpam-5581	371	3	dxp0	dxp0	PROPN
ejpam-5581	371	4	)	)	PUNCT
ejpam-5581	371	5	4	4	NUM
ejpam-5581	371	6	(	(	PUNCT
ejpam-5581	371	7	2dxp1	2dxp1	NUM
ejpam-5581	371	8	−	−	NOUN
ejpam-5581	371	9	3mdxp0	3mdxp0	NUM
ejpam-5581	371	10	)	)	PUNCT
ejpam-5581	371	11	[	[	PUNCT
ejpam-5581	371	12	γ3h	γ3h	PROPN
ejpam-5581	371	13	5	5	NUM
ejpam-5581	371	14	1dxh1	1dxh1	NUM
ejpam-5581	371	15	−	−	NOUN
ejpam-5581	371	16	γ4	γ4	NOUN
ejpam-5581	371	17	(	(	PUNCT
ejpam-5581	371	18	h51dxh1	h51dxh1	PROPN
ejpam-5581	371	19	−	−	PROPN
ejpam-5581	371	20	h5dxh	h5dxh	NOUN
ejpam-5581	371	21	)	)	PUNCT
ejpam-5581	371	22	]	]	PUNCT
ejpam-5581	372	1	y	y	PROPN
ejpam-5581	372	2	−	−	NOUN
ejpam-5581	372	3	1	1	NUM
ejpam-5581	372	4	4	4	NUM
ejpam-5581	372	5	(	(	PUNCT
ejpam-5581	372	6	4dxp0dxp1dxxp1	4dxp0dxp1dxxp1	NUM
ejpam-5581	372	7	+	+	CCONJ
ejpam-5581	372	8	2dxxp0	2dxxp0	NUM
ejpam-5581	372	9	(	(	PUNCT
ejpam-5581	372	10	dxp1	dxp1	PROPN
ejpam-5581	372	11	)	)	PUNCT
ejpam-5581	372	12	2	2	NUM
ejpam-5581	373	1	+	+	X
ejpam-5581	374	1	6dxp0dxxp0dxp1	6dxp0dxxp0dxp1	NUM
ejpam-5581	374	2	+	+	NUM
ejpam-5581	374	3	3	3	NUM
ejpam-5581	374	4	(	(	PUNCT
ejpam-5581	374	5	dxp0	dxp0	PROPN
ejpam-5581	374	6	)	)	PUNCT
ejpam-5581	374	7	2	2	NUM
ejpam-5581	374	8	dxxp1	dxxp1	NOUN
ejpam-5581	374	9	)	)	PUNCT
ejpam-5581	375	1	[	[	PUNCT
ejpam-5581	375	2	g	g	NOUN
ejpam-5581	375	3	(	(	PUNCT
ejpam-5581	375	4	a	a	NOUN
ejpam-5581	375	5	)	)	PUNCT
ejpam-5581	375	6	1	1	NUM
ejpam-5581	375	7	×	×	NOUN
ejpam-5581	375	8	(	(	PUNCT
ejpam-5581	375	9	y5	y5	NOUN
ejpam-5581	375	10	−	−	PROPN
ejpam-5581	375	11	5h41y	5h41y	NUM
ejpam-5581	375	12	)	)	PUNCT
ejpam-5581	376	1	+	+	CCONJ
ejpam-5581	376	2	5	5	NUM
ejpam-5581	376	3	g	g	NOUN
ejpam-5581	376	4	(	(	PUNCT
ejpam-5581	376	5	p	p	NOUN
ejpam-5581	376	6	)	)	PUNCT
ejpam-5581	376	7	1	1	NUM
ejpam-5581	376	8	(	(	PUNCT
ejpam-5581	376	9	h41	h41	NOUN
ejpam-5581	376	10	−	−	PROPN
ejpam-5581	376	11	h4	h4	PROPN
ejpam-5581	376	12	)	)	PUNCT
ejpam-5581	376	13	y	y	PROPN
ejpam-5581	376	14	]	]	PUNCT
ejpam-5581	377	1	+	+	CCONJ
ejpam-5581	377	2	(	(	PUNCT
ejpam-5581	377	3	2dxp0	2dxp0	NUM
ejpam-5581	377	4	(	(	PUNCT
ejpam-5581	377	5	dxp1	dxp1	PROPN
ejpam-5581	377	6	)	)	PUNCT
ejpam-5581	377	7	2	2	NUM
ejpam-5581	377	8	+	+	CCONJ
ejpam-5581	377	9	3	3	NUM
ejpam-5581	377	10	(	(	PUNCT
ejpam-5581	377	11	dxp0	dxp0	PROPN
ejpam-5581	377	12	)	)	PUNCT
ejpam-5581	377	13	2	2	NUM
ejpam-5581	377	14	dxp1	dxp1	NOUN
ejpam-5581	377	15	)	)	PUNCT
ejpam-5581	378	1	[	[	PUNCT
ejpam-5581	378	2	g	g	NOUN
ejpam-5581	378	3	(	(	PUNCT
ejpam-5581	378	4	a	a	NOUN
ejpam-5581	378	5	)	)	PUNCT
ejpam-5581	378	6	1	1	NUM
ejpam-5581	378	7	h31dxh1	h31dxh1	PRON
ejpam-5581	378	8	−4	−4	PROPN
ejpam-5581	378	9	g	g	NOUN
ejpam-5581	378	10	(	(	PUNCT
ejpam-5581	378	11	p	p	NOUN
ejpam-5581	378	12	)	)	PUNCT
ejpam-5581	378	13	1	1	NUM
ejpam-5581	378	14	(	(	PUNCT
ejpam-5581	378	15	h31dxh1	h31dxh1	PRON
ejpam-5581	378	16	−	−	PROPN
ejpam-5581	378	17	h3dxh	h3dxh	NOUN
ejpam-5581	378	18	)	)	PUNCT
ejpam-5581	378	19	]	]	PUNCT
ejpam-5581	379	1	y	y	PROPN
ejpam-5581	379	2	−	−	NOUN
ejpam-5581	379	3	1	1	NUM
ejpam-5581	379	4	6	6	NUM
ejpam-5581	379	5	dxxp2	dxxp2	NOUN
ejpam-5581	379	6	(	(	PUNCT
ejpam-5581	379	7	y3	y3	NOUN
ejpam-5581	379	8	−	−	PROPN
ejpam-5581	379	9	3h2y	3h2y	NOUN
ejpam-5581	379	10	)	)	PUNCT
ejpam-5581	380	1	+	+	CCONJ
ejpam-5581	381	1	dxp2hdxh	dxp2hdxh	PROPN
ejpam-5581	381	2	.	.	PUNCT
ejpam-5581	382	1	(	(	PUNCT
ejpam-5581	382	2	96	96	NUM
ejpam-5581	382	3	)	)	PUNCT
ejpam-5581	382	4	v	v	NOUN
ejpam-5581	382	5	(	(	PUNCT
ejpam-5581	382	6	p	p	NOUN
ejpam-5581	382	7	)	)	PUNCT
ejpam-5581	382	8	0	0	PUNCT
ejpam-5581	383	1	(	(	PUNCT
ejpam-5581	383	2	x	x	NOUN
ejpam-5581	383	3	,	,	PUNCT
ejpam-5581	383	4	y	y	NOUN
ejpam-5581	383	5	)	)	PUNCT
ejpam-5581	383	6	=	=	SYM
ejpam-5581	383	7	±2πϵ(sin(2πx	±2πϵ(sin(2πx	PROPN
ejpam-5581	383	8	)	)	PUNCT
ejpam-5581	384	1	+	+	CCONJ
ejpam-5581	384	2	2πϵαβ	2πϵαβ	NUM
ejpam-5581	384	3	sin(2πx)cos(2πx))−	sin(2πx)cos(2πx))−	VERB
ejpam-5581	384	4	4π2ϵαβ	4π2ϵαβ	NUM
ejpam-5581	384	5	sin(2πx)(y	sin(2πx)(y	NOUN
ejpam-5581	384	6	−	−	PROPN
ejpam-5581	384	7	h	h	NOUN
ejpam-5581	384	8	)	)	PUNCT
ejpam-5581	384	9	−	−	PROPN
ejpam-5581	384	10	1	1	NUM
ejpam-5581	384	11	6	6	NUM
ejpam-5581	384	12	dxxp0	dxxp0	NOUN
ejpam-5581	384	13	(	(	PUNCT
ejpam-5581	384	14	y3	y3	NOUN
ejpam-5581	384	15	−	−	PROPN
ejpam-5581	384	16	3h2y	3h2y	NOUN
ejpam-5581	384	17	)	)	PUNCT
ejpam-5581	385	1	+	+	PUNCT
ejpam-5581	385	2	dxp0hdxh	dxp0hdxh	PROPN
ejpam-5581	385	3	,	,	PUNCT
ejpam-5581	385	4	(	(	PUNCT
ejpam-5581	385	5	97	97	NUM
ejpam-5581	385	6	)	)	PUNCT
ejpam-5581	385	7	v	v	NOUN
ejpam-5581	385	8	(	(	PUNCT
ejpam-5581	385	9	p	p	NOUN
ejpam-5581	385	10	)	)	PUNCT
ejpam-5581	385	11	1	1	NUM
ejpam-5581	385	12	(	(	PUNCT
ejpam-5581	385	13	x	x	NOUN
ejpam-5581	385	14	,	,	PUNCT
ejpam-5581	385	15	y	y	NOUN
ejpam-5581	385	16	)	)	PUNCT
ejpam-5581	386	1	=	=	SYM
ejpam-5581	387	1	−γ2	−γ2	NUM
ejpam-5581	387	2	20	20	NUM
ejpam-5581	387	3	[	[	PUNCT
ejpam-5581	387	4	3	3	NUM
ejpam-5581	387	5	(	(	PUNCT
ejpam-5581	387	6	dxp0	dxp0	PROPN
ejpam-5581	387	7	)	)	PUNCT
ejpam-5581	387	8	2	2	NUM
ejpam-5581	387	9	dxxp0	dxxp0	X
ejpam-5581	387	10	(	(	PUNCT
ejpam-5581	387	11	y5	y5	NOUN
ejpam-5581	387	12	−	−	PROPN
ejpam-5581	387	13	5h4y	5h4y	NOUN
ejpam-5581	387	14	)	)	PUNCT
ejpam-5581	388	1	+	+	CCONJ
ejpam-5581	388	2	20	20	NUM
ejpam-5581	388	3	(	(	PUNCT
ejpam-5581	388	4	dxp0	dxp0	PROPN
ejpam-5581	388	5	)	)	PUNCT
ejpam-5581	388	6	3	3	NUM
ejpam-5581	388	7	h3dxhy	h3dxhy	NOUN
ejpam-5581	388	8	]	]	PUNCT
ejpam-5581	388	9	−	−	PROPN
ejpam-5581	388	10	1	1	NUM
ejpam-5581	388	11	6	6	NUM
ejpam-5581	388	12	dxxp1	dxxp1	NOUN
ejpam-5581	388	13	(	(	PUNCT
ejpam-5581	388	14	y3	y3	NOUN
ejpam-5581	388	15	−	−	PROPN
ejpam-5581	388	16	3h2y	3h2y	NOUN
ejpam-5581	388	17	)	)	PUNCT
ejpam-5581	389	1	+	+	CCONJ
ejpam-5581	389	2	dxp1hdxh	dxp1hdxh	NOUN
ejpam-5581	389	3	,	,	PUNCT
ejpam-5581	389	4	(	(	PUNCT
ejpam-5581	389	5	98	98	NUM
ejpam-5581	389	6	)	)	PUNCT
ejpam-5581	389	7	v	v	NOUN
ejpam-5581	389	8	(	(	PUNCT
ejpam-5581	389	9	p	p	NOUN
ejpam-5581	389	10	)	)	PUNCT
ejpam-5581	389	11	2	2	NUM
ejpam-5581	389	12	(	(	PUNCT
ejpam-5581	389	13	x	x	NOUN
ejpam-5581	389	14	,	,	PUNCT
ejpam-5581	389	15	y	y	NOUN
ejpam-5581	389	16	)	)	PUNCT
ejpam-5581	389	17	=	=	SYM
ejpam-5581	389	18	−γ4	−γ4	PROPN
ejpam-5581	389	19	42	42	NUM
ejpam-5581	389	20	[	[	PUNCT
ejpam-5581	389	21	(	(	PUNCT
ejpam-5581	389	22	dxp0	dxp0	PROPN
ejpam-5581	389	23	)	)	PUNCT
ejpam-5581	389	24	3	3	NUM
ejpam-5581	389	25	(	(	PUNCT
ejpam-5581	389	26	(	(	PUNCT
ejpam-5581	389	27	2dxp1	2dxp1	NUM
ejpam-5581	389	28	−	−	NOUN
ejpam-5581	389	29	3mdxp0	3mdxp0	NUM
ejpam-5581	389	30	)	)	PUNCT
ejpam-5581	389	31	dxxp0	dxxp0	NOUN
ejpam-5581	390	1	+	+	CCONJ
ejpam-5581	390	2	4dxp0	4dxp0	NUM
ejpam-5581	390	3	(	(	PUNCT
ejpam-5581	390	4	2dxxp1	2dxxp1	NUM
ejpam-5581	390	5	−	−	NOUN
ejpam-5581	390	6	3mdxxp0	3mdxxp0	NUM
ejpam-5581	390	7	)	)	PUNCT
ejpam-5581	390	8	)	)	PUNCT
ejpam-5581	390	9	(	(	PUNCT
ejpam-5581	390	10	y7	y7	DET
ejpam-5581	390	11	−	−	PROPN
ejpam-5581	390	12	7h6y	7h6y	NOUN
ejpam-5581	390	13	)	)	PUNCT
ejpam-5581	390	14	−	−	PROPN
ejpam-5581	390	15	42	42	NUM
ejpam-5581	390	16	(	(	PUNCT
ejpam-5581	390	17	dxp0	dxp0	PROPN
ejpam-5581	390	18	)	)	PUNCT
ejpam-5581	390	19	4	4	NUM
ejpam-5581	390	20	(	(	PUNCT
ejpam-5581	390	21	2dxp1	2dxp1	NUM
ejpam-5581	390	22	−	−	NOUN
ejpam-5581	390	23	3mdxp0)h	3mdxp0)h	NOUN
ejpam-5581	390	24	5dxhy	5dxhy	NUM
ejpam-5581	390	25	]	]	PUNCT
ejpam-5581	390	26	−	−	PROPN
ejpam-5581	390	27	1	1	NUM
ejpam-5581	390	28	20	20	NUM
ejpam-5581	390	29	[	[	X
ejpam-5581	390	30	(	(	PUNCT
ejpam-5581	390	31	4dxp0dxp1dxxp1	4dxp0dxp1dxxp1	NUM
ejpam-5581	390	32	+	+	CCONJ
ejpam-5581	390	33	2dxxp0	2dxxp0	NUM
ejpam-5581	390	34	(	(	PUNCT
ejpam-5581	390	35	dxp1	dxp1	PROPN
ejpam-5581	390	36	)	)	PUNCT
ejpam-5581	390	37	2	2	NUM
ejpam-5581	391	1	+	+	X
ejpam-5581	392	1	6dxp0dxxp0dxp1	6dxp0dxxp0dxp1	NUM
ejpam-5581	392	2	+	+	NUM
ejpam-5581	392	3	3	3	NUM
ejpam-5581	392	4	(	(	PUNCT
ejpam-5581	392	5	dxp0	dxp0	PROPN
ejpam-5581	392	6	)	)	PUNCT
ejpam-5581	392	7	2	2	NUM
ejpam-5581	392	8	dxxp1	dxxp1	NOUN
ejpam-5581	392	9	)	)	PUNCT
ejpam-5581	393	1	(	(	PUNCT
ejpam-5581	393	2	y5	y5	NOUN
ejpam-5581	393	3	−	−	PROPN
ejpam-5581	393	4	5h4y	5h4y	NOUN
ejpam-5581	393	5	)	)	PUNCT
ejpam-5581	394	1	−	−	PROPN
ejpam-5581	394	2	20	20	NUM
ejpam-5581	394	3	(	(	PUNCT
ejpam-5581	394	4	2dxp0	2dxp0	NUM
ejpam-5581	394	5	(	(	PUNCT
ejpam-5581	394	6	dxp1	dxp1	PROPN
ejpam-5581	394	7	)	)	PUNCT
ejpam-5581	394	8	2	2	NUM
ejpam-5581	395	1	+	+	CCONJ
ejpam-5581	395	2	3	3	NUM
ejpam-5581	395	3	(	(	PUNCT
ejpam-5581	395	4	dxp0	dxp0	PROPN
ejpam-5581	395	5	)	)	PUNCT
ejpam-5581	395	6	2	2	NUM
ejpam-5581	395	7	dxp1	dxp1	NOUN
ejpam-5581	395	8	)	)	PUNCT
ejpam-5581	395	9	×	×	NOUN
ejpam-5581	395	10	h3dxhy	h3dxhy	PROPN
ejpam-5581	395	11	]	]	PUNCT
ejpam-5581	395	12	−	−	PROPN
ejpam-5581	395	13	1	1	NUM
ejpam-5581	395	14	6	6	NUM
ejpam-5581	395	15	dxxp2	dxxp2	NOUN
ejpam-5581	395	16	(	(	PUNCT
ejpam-5581	395	17	y3	y3	NOUN
ejpam-5581	395	18	−	−	PROPN
ejpam-5581	395	19	3h2y	3h2y	NOUN
ejpam-5581	395	20	)	)	PUNCT
ejpam-5581	396	1	+	+	CCONJ
ejpam-5581	397	1	dxp2hdxh	dxp2hdxh	PROPN
ejpam-5581	397	2	.	.	PUNCT
ejpam-5581	398	1	(	(	PUNCT
ejpam-5581	398	2	99	99	NUM
ejpam-5581	398	3	)	)	PUNCT
ejpam-5581	398	4	when	when	SCONJ
ejpam-5581	398	5	we	we	PRON
ejpam-5581	398	6	make	make	VERB
ejpam-5581	398	7	use	use	NOUN
ejpam-5581	398	8	of	of	ADP
ejpam-5581	398	9	eqs	eqs	PROPN
ejpam-5581	398	10	.	.	PUNCT
ejpam-5581	399	1	(	(	PUNCT
ejpam-5581	399	2	94)-(96	94)-(96	NOUN
ejpam-5581	399	3	)	)	PUNCT
ejpam-5581	399	4	into	into	ADP
ejpam-5581	399	5	eq	eq	NOUN
ejpam-5581	399	6	.	.	PUNCT
ejpam-5581	400	1	(	(	PUNCT
ejpam-5581	400	2	56	56	NUM
ejpam-5581	400	3	)	)	PUNCT
ejpam-5581	400	4	for	for	ADP
ejpam-5581	400	5	k	k	PROPN
ejpam-5581	400	6	=	=	PUNCT
ejpam-5581	400	7	a	a	PROPN
ejpam-5581	400	8	and	and	CCONJ
ejpam-5581	400	9	eqs	eqs	X
ejpam-5581	400	10	.	.	PUNCT
ejpam-5581	401	1	(	(	PUNCT
ejpam-5581	401	2	97)-(99	97)-(99	NOUN
ejpam-5581	401	3	)	)	PUNCT
ejpam-5581	401	4	into	into	ADP
ejpam-5581	401	5	the	the	DET
ejpam-5581	401	6	eq	eq	NOUN
ejpam-5581	401	7	.	.	PUNCT
ejpam-5581	402	1	(	(	PUNCT
ejpam-5581	402	2	56	56	NUM
ejpam-5581	402	3	)	)	PUNCT
ejpam-5581	402	4	for	for	ADP
ejpam-5581	402	5	k	k	PROPN
ejpam-5581	402	6	=	=	PUNCT
ejpam-5581	402	7	p	p	NOUN
ejpam-5581	402	8	respectively	respectively	ADV
ejpam-5581	402	9	acquire	acquire	VERB
ejpam-5581	402	10	the	the	DET
ejpam-5581	402	11	acl	acl	PROPN
ejpam-5581	402	12	and	and	CCONJ
ejpam-5581	402	13	pcl	pcl	PROPN
ejpam-5581	402	14	velocities	velocity	NOUN
ejpam-5581	402	15	.	.	PUNCT
ejpam-5581	403	1	3.2	3.2	NUM
ejpam-5581	403	2	.	.	PUNCT
ejpam-5581	404	1	pressure	pressure	NOUN
ejpam-5581	404	2	gradient	gradient	NOUN
ejpam-5581	404	3	the	the	DET
ejpam-5581	404	4	following	follow	VERB
ejpam-5581	404	5	components	component	NOUN
ejpam-5581	404	6	of	of	ADP
ejpam-5581	404	7	zeroth	zeroth	PROPN
ejpam-5581	404	8	,	,	PUNCT
ejpam-5581	404	9	first	first	ADV
ejpam-5581	404	10	,	,	PUNCT
ejpam-5581	404	11	and	and	CCONJ
ejpam-5581	404	12	second	second	ADJ
ejpam-5581	404	13	-	-	PUNCT
ejpam-5581	404	14	order	order	NOUN
ejpam-5581	404	15	pressure	pressure	NOUN
ejpam-5581	404	16	gradients	gradient	NOUN
ejpam-5581	404	17	are	be	AUX
ejpam-5581	404	18	derived	derive	VERB
ejpam-5581	404	19	by	by	ADP
ejpam-5581	404	20	solving	solve	VERB
ejpam-5581	404	21	eqs	eqs	PROPN
ejpam-5581	404	22	.	.	PUNCT
ejpam-5581	405	1	(	(	PUNCT
ejpam-5581	405	2	94)-(99	94)-(99	NUM
ejpam-5581	405	3	)	)	PUNCT
ejpam-5581	405	4	and	and	CCONJ
ejpam-5581	405	5	applying	apply	VERB
ejpam-5581	405	6	the	the	DET
ejpam-5581	405	7	related	relate	VERB
ejpam-5581	405	8	boundary	boundary	ADJ
ejpam-5581	405	9	conditions	condition	NOUN
ejpam-5581	405	10	(	(	PUNCT
ejpam-5581	405	11	78	78	NUM
ejpam-5581	405	12	):	):	PUNCT
ejpam-5581	405	13	dxp0	dxp0	PROPN
ejpam-5581	405	14	=	=	PUNCT
ejpam-5581	406	1	−	−	PROPN
ejpam-5581	407	1	6(1	6(1	NUM
ejpam-5581	408	1	+	+	CCONJ
ejpam-5581	408	2	2πϵαβcos(2πx))h+	2πϵαβcos(2πx))h+	NUM
ejpam-5581	408	3	3	3	NUM
ejpam-5581	408	4	(	(	PUNCT
ejpam-5581	408	5	2ϵcos(2πx	2ϵcos(2πx	NUM
ejpam-5581	408	6	)	)	PUNCT
ejpam-5581	408	7	+	+	CCONJ
ejpam-5581	408	8	πϵ2αβcos(4πx	πϵ2αβcos(4πx	NOUN
ejpam-5581	408	9	)	)	PUNCT
ejpam-5581	408	10	)	)	PUNCT
ejpam-5581	409	1	+	+	CCONJ
ejpam-5581	409	2	6	6	NUM
ejpam-5581	409	3	(	(	PUNCT
ejpam-5581	409	4	γ5	γ5	PROPN
ejpam-5581	409	5	−	−	PROPN
ejpam-5581	409	6	γ6	γ6	PROPN
ejpam-5581	409	7	)	)	PUNCT
ejpam-5581	409	8	3	3	NUM
ejpam-5581	409	9	(	(	PUNCT
ejpam-5581	409	10	h31	h31	NOUN
ejpam-5581	409	11	−	−	PROPN
ejpam-5581	409	12	h21	h21	NOUN
ejpam-5581	409	13	+	+	CCONJ
ejpam-5581	409	14	h2h1	h2h1	NOUN
ejpam-5581	409	15	)	)	PUNCT
ejpam-5581	410	1	+	+	CCONJ
ejpam-5581	410	2	2h3	2h3	NUM
ejpam-5581	410	3	,	,	PUNCT
ejpam-5581	410	4	(	(	PUNCT
ejpam-5581	410	5	100	100	NUM
ejpam-5581	410	6	)	)	PUNCT
ejpam-5581	410	7	a.	a.	NOUN
ejpam-5581	410	8	alaidrous	alaidrous	PROPN
ejpam-5581	410	9	,	,	PUNCT
ejpam-5581	410	10	h.	h.	PROPN
ejpam-5581	410	11	ashraf	ashraf	PROPN
ejpam-5581	410	12	/	/	SYM
ejpam-5581	410	13	eur	eur	PROPN
ejpam-5581	410	14	.	.	PUNCT
ejpam-5581	411	1	j.	j.	PROPN
ejpam-5581	411	2	pure	pure	PROPN
ejpam-5581	411	3	appl	appl	PROPN
ejpam-5581	411	4	.	.	PROPN
ejpam-5581	411	5	math	math	PROPN
ejpam-5581	411	6	,	,	PUNCT
ejpam-5581	411	7	18	18	NUM
ejpam-5581	411	8	(	(	PUNCT
ejpam-5581	411	9	1	1	NUM
ejpam-5581	411	10	)	)	PUNCT
ejpam-5581	411	11	(	(	PUNCT
ejpam-5581	411	12	2025	2025	NUM
ejpam-5581	411	13	)	)	PUNCT
ejpam-5581	411	14	,	,	PUNCT
ejpam-5581	411	15	5581	5581	NUM
ejpam-5581	411	16	16	16	NUM
ejpam-5581	411	17	of	of	ADP
ejpam-5581	411	18	30	30	NUM
ejpam-5581	411	19	dxp1	dxp1	NOUN
ejpam-5581	411	20	=	=	SYM
ejpam-5581	411	21	6λ	6λ	PROPN
ejpam-5581	411	22	(	(	PUNCT
ejpam-5581	411	23	dxp0	dxp0	PROPN
ejpam-5581	411	24	)	)	PUNCT
ejpam-5581	411	25	3	3	NUM
ejpam-5581	411	26	20(3h31	20(3h31	NUM
ejpam-5581	411	27	−	−	ADP
ejpam-5581	411	28	5h3	5h3	NUM
ejpam-5581	411	29	)	)	PUNCT
ejpam-5581	411	30	[	[	PUNCT
ejpam-5581	411	31	4	4	NUM
ejpam-5581	411	32	g	g	NOUN
ejpam-5581	411	33	(	(	PUNCT
ejpam-5581	411	34	a	a	NOUN
ejpam-5581	411	35	)	)	PUNCT
ejpam-5581	411	36	1	1	NUM
ejpam-5581	411	37	(	(	PUNCT
ejpam-5581	411	38	γ9	γ9	NOUN
ejpam-5581	411	39	−	−	PROPN
ejpam-5581	411	40	h51	h51	NOUN
ejpam-5581	411	41	)	)	PUNCT
ejpam-5581	412	1	+	+	ADP
ejpam-5581	412	2	g	g	NOUN
ejpam-5581	412	3	(	(	PUNCT
ejpam-5581	412	4	p	p	NOUN
ejpam-5581	412	5	)	)	PUNCT
ejpam-5581	412	6	1	1	NUM
ejpam-5581	412	7	(	(	PUNCT
ejpam-5581	412	8	h51	h51	NOUN
ejpam-5581	412	9	−	−	PROPN
ejpam-5581	412	10	h4h1	h4h1	NOUN
ejpam-5581	412	11	−	−	PROPN
ejpam-5581	412	12	γ8	γ8	NOUN
ejpam-5581	412	13	)	)	PUNCT
ejpam-5581	413	1	+	+	ADP
ejpam-5581	413	2	g	g	NOUN
ejpam-5581	413	3	(	(	PUNCT
ejpam-5581	413	4	p	p	NOUN
ejpam-5581	413	5	)	)	PUNCT
ejpam-5581	413	6	1	1	NUM
ejpam-5581	413	7	(	(	PUNCT
ejpam-5581	413	8	γ7	γ7	PROPN
ejpam-5581	413	9	−	−	PROPN
ejpam-5581	413	10	h51	h51	NOUN
ejpam-5581	413	11	+	+	CCONJ
ejpam-5581	413	12	4h5	4h5	NUM
ejpam-5581	413	13	−	−	PROPN
ejpam-5581	413	14	5h1h	5h1h	NOUN
ejpam-5581	413	15	2	2	NUM
ejpam-5581	413	16	)	)	PUNCT
ejpam-5581	413	17	]	]	PUNCT
ejpam-5581	413	18	,	,	PUNCT
ejpam-5581	413	19	(	(	PUNCT
ejpam-5581	413	20	101	101	NUM
ejpam-5581	413	21	)	)	PUNCT
ejpam-5581	413	22	dxp2	dxp2	NOUN
ejpam-5581	413	23	=	=	SYM
ejpam-5581	413	24	6	6	NUM
ejpam-5581	413	25	3h21	3h21	NOUN
ejpam-5581	413	26	−	−	NOUN
ejpam-5581	413	27	3h2	3h2	NUM
ejpam-5581	413	28	−	−	NOUN
ejpam-5581	413	29	7h31	7h31	NOUN
ejpam-5581	414	1	+	+	CCONJ
ejpam-5581	414	2	3h2h1	3h2h1	NUM
ejpam-5581	415	1	+	+	CCONJ
ejpam-5581	415	2	2h3	2h3	NUM
ejpam-5581	415	3	[	[	PUNCT
ejpam-5581	415	4	λ	λ	X
ejpam-5581	415	5	42	42	NUM
ejpam-5581	415	6	(	(	PUNCT
ejpam-5581	415	7	dxp0	dxp0	PROPN
ejpam-5581	415	8	)	)	PUNCT
ejpam-5581	415	9	4	4	NUM
ejpam-5581	415	10	(	(	PUNCT
ejpam-5581	415	11	2dxp1	2dxp1	NUM
ejpam-5581	415	12	−	−	NOUN
ejpam-5581	415	13	3mdxp0	3mdxp0	NUM
ejpam-5581	415	14	)	)	PUNCT
ejpam-5581	415	15	{	{	PUNCT
ejpam-5581	415	16	(	(	PUNCT
ejpam-5581	415	17	g	g	PROPN
ejpam-5581	415	18	(	(	PUNCT
ejpam-5581	415	19	p	p	NOUN
ejpam-5581	415	20	)	)	PUNCT
ejpam-5581	415	21	1	1	NUM
ejpam-5581	415	22	)	)	SYM
ejpam-5581	415	23	2	2	NUM
ejpam-5581	415	24	(	(	PUNCT
ejpam-5581	415	25	h71	h71	PROPN
ejpam-5581	415	26	−	−	PROPN
ejpam-5581	415	27	7h6h1	7h6h1	PROPN
ejpam-5581	415	28	+	+	CCONJ
ejpam-5581	415	29	13h7	13h7	NUM
ejpam-5581	415	30	−	−	NUM
ejpam-5581	415	31	7h61h−	7h61h−	NUM
ejpam-5581	415	32	γ13	γ13	NOUN
ejpam-5581	415	33	−	−	PROPN
ejpam-5581	415	34	γ8	γ8	NOUN
ejpam-5581	415	35	)	)	PUNCT
ejpam-5581	415	36	−	−	PROPN
ejpam-5581	415	37	7	7	NUM
ejpam-5581	415	38	(	(	PUNCT
ejpam-5581	415	39	g	g	PROPN
ejpam-5581	415	40	(	(	PUNCT
ejpam-5581	415	41	a	a	NOUN
ejpam-5581	415	42	)	)	PUNCT
ejpam-5581	415	43	1	1	NUM
ejpam-5581	415	44	)	)	SYM
ejpam-5581	415	45	2	2	NUM
ejpam-5581	415	46	(	(	PUNCT
ejpam-5581	415	47	h71	h71	PROPN
ejpam-5581	415	48	+	+	CCONJ
ejpam-5581	415	49	γ10	γ10	NOUN
ejpam-5581	415	50	)	)	PUNCT
ejpam-5581	415	51	}	}	PUNCT
ejpam-5581	416	1	+	+	CCONJ
ejpam-5581	417	1	dxp0	dxp0	PROPN
ejpam-5581	417	2	(	(	PUNCT
ejpam-5581	417	3	dxp1	dxp1	PROPN
ejpam-5581	417	4	)	)	PUNCT
ejpam-5581	417	5	2	2	NUM
ejpam-5581	417	6	{	{	PUNCT
ejpam-5581	417	7	g	g	NOUN
ejpam-5581	417	8	(	(	PUNCT
ejpam-5581	417	9	p	p	NOUN
ejpam-5581	417	10	)	)	PUNCT
ejpam-5581	417	11	1	1	NUM
ejpam-5581	417	12	(	(	PUNCT
ejpam-5581	417	13	h51	h51	NOUN
ejpam-5581	417	14	−	−	PROPN
ejpam-5581	417	15	5h4h1	5h4h1	NUM
ejpam-5581	417	16	−	−	PROPN
ejpam-5581	417	17	4h5	4h5	NUM
ejpam-5581	417	18	−	−	NOUN
ejpam-5581	418	1	4h41	4h41	NOUN
ejpam-5581	419	1	+	+	CCONJ
ejpam-5581	419	2	4h4	4h4	NUM
ejpam-5581	419	3	)	)	PUNCT
ejpam-5581	420	1	−	−	ADP
ejpam-5581	420	2	20	20	NUM
ejpam-5581	420	3	g	g	NOUN
ejpam-5581	420	4	(	(	PUNCT
ejpam-5581	420	5	a	a	NOUN
ejpam-5581	420	6	)	)	PUNCT
ejpam-5581	420	7	1	1	NUM
ejpam-5581	420	8	(	(	PUNCT
ejpam-5581	420	9	h51	h51	NOUN
ejpam-5581	420	10	−	−	PROPN
ejpam-5581	420	11	γ7	γ7	PROPN
ejpam-5581	420	12	)	)	PUNCT
ejpam-5581	420	13	}	}	PUNCT
ejpam-5581	420	14	−	−	ADP
ejpam-5581	421	1	dxp0dxp1	dxp0dxp1	ADJ
ejpam-5581	421	2	g	g	PROPN
ejpam-5581	421	3	(	(	PUNCT
ejpam-5581	421	4	p	p	NOUN
ejpam-5581	421	5	)	)	PUNCT
ejpam-5581	421	6	1	1	NUM
ejpam-5581	421	7	20	20	NUM
ejpam-5581	421	8	{	{	PUNCT
ejpam-5581	421	9	2dxp1	2dxp1	NUM
ejpam-5581	421	10	(	(	PUNCT
ejpam-5581	421	11	h51	h51	NOUN
ejpam-5581	421	12	−	−	PROPN
ejpam-5581	421	13	5h5h1	5h5h1	NUM
ejpam-5581	421	14	−	−	PROPN
ejpam-5581	421	15	4h5	4h5	NUM
ejpam-5581	421	16	)	)	PUNCT
ejpam-5581	421	17	×	×	NOUN
ejpam-5581	421	18	(	(	PUNCT
ejpam-5581	421	19	3dxp0	3dxp0	NUM
ejpam-5581	421	20	−	−	ADJ
ejpam-5581	421	21	2dxp1	2dxp1	NUM
ejpam-5581	421	22	)	)	PUNCT
ejpam-5581	421	23	γ5	γ5	NOUN
ejpam-5581	421	24	}	}	PUNCT
ejpam-5581	421	25	]	]	PUNCT
ejpam-5581	421	26	.	.	PUNCT
ejpam-5581	422	1	(	(	PUNCT
ejpam-5581	422	2	102	102	NUM
ejpam-5581	422	3	)	)	PUNCT
ejpam-5581	422	4	by	by	ADP
ejpam-5581	422	5	inserting	insert	VERB
ejpam-5581	422	6	the	the	DET
ejpam-5581	422	7	pressure	pressure	NOUN
ejpam-5581	422	8	gradient	gradient	NOUN
ejpam-5581	422	9	components	component	NOUN
ejpam-5581	422	10	from	from	ADP
ejpam-5581	422	11	eqs	eqs	PROPN
ejpam-5581	422	12	.	.	PUNCT
ejpam-5581	422	13	(	(	PUNCT
ejpam-5581	422	14	100)-(102	100)-(102	NUM
ejpam-5581	422	15	)	)	PUNCT
ejpam-5581	422	16	into	into	ADP
ejpam-5581	422	17	eq	eq	NOUN
ejpam-5581	422	18	.	.	PUNCT
ejpam-5581	423	1	(	(	PUNCT
ejpam-5581	423	2	57	57	NUM
ejpam-5581	423	3	)	)	PUNCT
ejpam-5581	423	4	,	,	PUNCT
ejpam-5581	423	5	we	we	PRON
ejpam-5581	423	6	can	can	AUX
ejpam-5581	423	7	get	get	VERB
ejpam-5581	423	8	the	the	DET
ejpam-5581	423	9	pressure	pressure	NOUN
ejpam-5581	423	10	gradient	gradient	NOUN
ejpam-5581	423	11	dxp	dxp	PROPN
ejpam-5581	423	12	.	.	PROPN
ejpam-5581	423	13	3.3	3.3	NUM
ejpam-5581	423	14	.	.	PUNCT
ejpam-5581	424	1	temperature	temperature	NOUN
ejpam-5581	424	2	substitution	substitution	NOUN
ejpam-5581	424	3	of	of	ADP
ejpam-5581	424	4	adomian	adomian	NOUN
ejpam-5581	424	5	polynomials	polynomial	NOUN
ejpam-5581	424	6	(	(	PUNCT
ejpam-5581	424	7	70	70	NUM
ejpam-5581	424	8	)	)	PUNCT
ejpam-5581	424	9	,	,	PUNCT
ejpam-5581	424	10	(	(	PUNCT
ejpam-5581	424	11	72	72	NUM
ejpam-5581	424	12	)	)	PUNCT
ejpam-5581	424	13	and	and	CCONJ
ejpam-5581	424	14	(	(	PUNCT
ejpam-5581	424	15	73	73	NUM
ejpam-5581	424	16	)	)	PUNCT
ejpam-5581	424	17	into	into	ADP
ejpam-5581	424	18	eqs	eqs	PROPN
ejpam-5581	424	19	.	.	PUNCT
ejpam-5581	425	1	(	(	PUNCT
ejpam-5581	425	2	66	66	NUM
ejpam-5581	425	3	)	)	PUNCT
ejpam-5581	425	4	and	and	CCONJ
ejpam-5581	425	5	(	(	PUNCT
ejpam-5581	425	6	67	67	NUM
ejpam-5581	425	7	)	)	PUNCT
ejpam-5581	425	8	.	.	PUNCT
ejpam-5581	426	1	after	after	ADP
ejpam-5581	426	2	applying	apply	VERB
ejpam-5581	426	3	the	the	DET
ejpam-5581	426	4	correct	correct	ADJ
ejpam-5581	426	5	boundary	boundary	ADJ
ejpam-5581	426	6	conditions	condition	NOUN
ejpam-5581	426	7	(	(	PUNCT
ejpam-5581	426	8	79)-(82	79)-(82	NOUN
ejpam-5581	426	9	)	)	PUNCT
ejpam-5581	426	10	to	to	ADP
ejpam-5581	426	11	the	the	DET
ejpam-5581	426	12	resultant	resultant	NOUN
ejpam-5581	426	13	equations	equation	NOUN
ejpam-5581	426	14	,	,	PUNCT
ejpam-5581	426	15	the	the	DET
ejpam-5581	426	16	components	component	NOUN
ejpam-5581	426	17	of	of	ADP
ejpam-5581	426	18	zeroth	zeroth	PROPN
ejpam-5581	426	19	,	,	PUNCT
ejpam-5581	426	20	first	first	ADV
ejpam-5581	426	21	,	,	PUNCT
ejpam-5581	426	22	and	and	CCONJ
ejpam-5581	426	23	second	second	ADJ
ejpam-5581	426	24	-	-	PUNCT
ejpam-5581	426	25	order	order	NOUN
ejpam-5581	426	26	are	be	AUX
ejpam-5581	426	27	derived	derive	VERB
ejpam-5581	426	28	when	when	SCONJ
ejpam-5581	426	29	we	we	PRON
ejpam-5581	426	30	set	set	VERB
ejpam-5581	426	31	k	k	PROPN
ejpam-5581	427	1	=	=	PUNCT
ejpam-5581	427	2	p	p	NOUN
ejpam-5581	427	3	followed	follow	VERB
ejpam-5581	427	4	by	by	ADP
ejpam-5581	427	5	k	k	PROPN
ejpam-5581	427	6	=	=	PUNCT
ejpam-5581	427	7	a	a	PROPN
ejpam-5581	427	8	:	:	PUNCT
ejpam-5581	427	9	t	t	NOUN
ejpam-5581	427	10	(	(	PUNCT
ejpam-5581	427	11	a	a	NOUN
ejpam-5581	427	12	)	)	PUNCT
ejpam-5581	427	13	0	0	NUM
ejpam-5581	428	1	(	(	PUNCT
ejpam-5581	428	2	x	x	NOUN
ejpam-5581	428	3	,	,	PUNCT
ejpam-5581	428	4	y	y	NOUN
ejpam-5581	428	5	)	)	PUNCT
ejpam-5581	428	6	=	=	SYM
ejpam-5581	428	7	0	0	NUM
ejpam-5581	428	8	,	,	PUNCT
ejpam-5581	428	9	(	(	PUNCT
ejpam-5581	428	10	103	103	NUM
ejpam-5581	428	11	)	)	PUNCT
ejpam-5581	428	12	t	t	NOUN
ejpam-5581	428	13	(	(	PUNCT
ejpam-5581	428	14	a	a	NOUN
ejpam-5581	428	15	)	)	PUNCT
ejpam-5581	428	16	1	1	NUM
ejpam-5581	428	17	(	(	PUNCT
ejpam-5581	428	18	x	x	NOUN
ejpam-5581	428	19	,	,	PUNCT
ejpam-5581	428	20	y	y	PROPN
ejpam-5581	428	21	)	)	PUNCT
ejpam-5581	429	1	=	=	SYM
ejpam-5581	429	2	g	g	PROPN
ejpam-5581	429	3	(	(	PUNCT
ejpam-5581	429	4	a	a	NOUN
ejpam-5581	429	5	)	)	PUNCT
ejpam-5581	429	6	2	2	NUM
ejpam-5581	429	7	840	840	NUM
ejpam-5581	429	8	[	[	PUNCT
ejpam-5581	429	9	15	15	NUM
ejpam-5581	429	10	g	g	NOUN
ejpam-5581	429	11	(	(	PUNCT
ejpam-5581	429	12	a	a	NOUN
ejpam-5581	429	13	)	)	PUNCT
ejpam-5581	429	14	4	4	NUM
ejpam-5581	429	15	(	(	PUNCT
ejpam-5581	429	16	dxp0	dxp0	PROPN
ejpam-5581	429	17	)	)	PUNCT
ejpam-5581	429	18	6	6	NUM
ejpam-5581	429	19	(	(	PUNCT
ejpam-5581	429	20	y8	y8	PROPN
ejpam-5581	429	21	−	−	PROPN
ejpam-5581	429	22	h81	h81	VERB
ejpam-5581	429	23	)	)	PUNCT
ejpam-5581	429	24	−	−	PROPN
ejpam-5581	430	1	28	28	NUM
ejpam-5581	430	2	g	g	NOUN
ejpam-5581	430	3	(	(	PUNCT
ejpam-5581	430	4	a	a	NOUN
ejpam-5581	430	5	)	)	PUNCT
ejpam-5581	430	6	3	3	NUM
ejpam-5581	430	7	(	(	PUNCT
ejpam-5581	430	8	dxp0	dxp0	PROPN
ejpam-5581	430	9	)	)	PUNCT
ejpam-5581	430	10	4	4	NUM
ejpam-5581	430	11	(	(	PUNCT
ejpam-5581	430	12	y6	y6	ADJ
ejpam-5581	430	13	−	−	PROPN
ejpam-5581	430	14	h61	h61	PROPN
ejpam-5581	430	15	)	)	PUNCT
ejpam-5581	430	16	−	−	PROPN
ejpam-5581	430	17	70	70	NUM
ejpam-5581	430	18	(	(	PUNCT
ejpam-5581	430	19	dxp0	dxp0	PROPN
ejpam-5581	430	20	)	)	PUNCT
ejpam-5581	430	21	2	2	NUM
ejpam-5581	430	22	(	(	PUNCT
ejpam-5581	430	23	y4	y4	NOUN
ejpam-5581	430	24	−	−	PROPN
ejpam-5581	430	25	h41	h41	PROPN
ejpam-5581	430	26	)	)	PUNCT
ejpam-5581	430	27	]	]	PUNCT
ejpam-5581	431	1	+	+	CCONJ
ejpam-5581	431	2	t	t	X
ejpam-5581	431	3	(	(	PUNCT
ejpam-5581	431	4	p	p	NOUN
ejpam-5581	431	5	)	)	PUNCT
ejpam-5581	431	6	1	1	NUM
ejpam-5581	431	7	(	(	PUNCT
ejpam-5581	431	8	x	x	NOUN
ejpam-5581	431	9	,	,	PUNCT
ejpam-5581	431	10	h1	h1	PROPN
ejpam-5581	431	11	)	)	PUNCT
ejpam-5581	431	12	,	,	PUNCT
ejpam-5581	431	13	(	(	PUNCT
ejpam-5581	431	14	104	104	X
ejpam-5581	431	15	)	)	PUNCT
ejpam-5581	431	16	t	t	NOUN
ejpam-5581	431	17	(	(	PUNCT
ejpam-5581	431	18	a	a	NOUN
ejpam-5581	431	19	)	)	PUNCT
ejpam-5581	431	20	2	2	NUM
ejpam-5581	431	21	(	(	PUNCT
ejpam-5581	431	22	x	x	NOUN
ejpam-5581	431	23	,	,	PUNCT
ejpam-5581	431	24	y	y	NOUN
ejpam-5581	431	25	)	)	PUNCT
ejpam-5581	431	26	=	=	SYM
ejpam-5581	431	27	−g	−g	NOUN
ejpam-5581	431	28	(	(	PUNCT
ejpam-5581	431	29	a	a	X
ejpam-5581	431	30	)	)	PUNCT
ejpam-5581	431	31	2	2	NUM
ejpam-5581	431	32	840	840	NUM
ejpam-5581	431	33	[	[	PUNCT
ejpam-5581	431	34	56	56	NUM
ejpam-5581	431	35	g	g	NOUN
ejpam-5581	431	36	(	(	PUNCT
ejpam-5581	431	37	a	a	NOUN
ejpam-5581	431	38	)	)	PUNCT
ejpam-5581	431	39	1	1	NUM
ejpam-5581	431	40	λ	λ	PROPN
ejpam-5581	431	41	(	(	PUNCT
ejpam-5581	431	42	dxp0	dxp0	PROPN
ejpam-5581	431	43	)	)	PUNCT
ejpam-5581	431	44	4	4	NUM
ejpam-5581	431	45	(	(	PUNCT
ejpam-5581	431	46	y6	y6	ADJ
ejpam-5581	431	47	−	−	PROPN
ejpam-5581	431	48	h61	h61	PROPN
ejpam-5581	431	49	)	)	PUNCT
ejpam-5581	432	1	+	+	CCONJ
ejpam-5581	432	2	140dxp0dxp1	140dxp0dxp1	NUM
ejpam-5581	432	3	(	(	PUNCT
ejpam-5581	432	4	y4	y4	PROPN
ejpam-5581	432	5	−	−	PROPN
ejpam-5581	432	6	h4	h4	PROPN
ejpam-5581	432	7	)	)	PUNCT
ejpam-5581	433	1	+	+	CCONJ
ejpam-5581	433	2	4	4	NUM
ejpam-5581	433	3	g	g	NOUN
ejpam-5581	433	4	(	(	PUNCT
ejpam-5581	433	5	a	a	NOUN
ejpam-5581	433	6	)	)	PUNCT
ejpam-5581	433	7	3	3	NUM
ejpam-5581	433	8	{	{	PUNCT
ejpam-5581	433	9	15	15	NUM
ejpam-5581	433	10	g	g	NOUN
ejpam-5581	433	11	(	(	PUNCT
ejpam-5581	433	12	a	a	NOUN
ejpam-5581	433	13	)	)	PUNCT
ejpam-5581	433	14	1	1	NUM
ejpam-5581	433	15	(	(	PUNCT
ejpam-5581	433	16	dxp0	dxp0	PROPN
ejpam-5581	433	17	)	)	PUNCT
ejpam-5581	433	18	6	6	NUM
ejpam-5581	433	19	×	×	NOUN
ejpam-5581	433	20	λ	λ	X
ejpam-5581	433	21	(	(	PUNCT
ejpam-5581	433	22	y8	y8	PROPN
ejpam-5581	433	23	−	−	PROPN
ejpam-5581	433	24	h81	h81	VERB
ejpam-5581	433	25	)	)	PUNCT
ejpam-5581	434	1	+	+	CCONJ
ejpam-5581	434	2	28	28	NUM
ejpam-5581	434	3	(	(	PUNCT
ejpam-5581	434	4	dxp0	dxp0	PROPN
ejpam-5581	434	5	)	)	PUNCT
ejpam-5581	434	6	3	3	NUM
ejpam-5581	434	7	dxp1	dxp1	NOUN
ejpam-5581	434	8	(	(	PUNCT
ejpam-5581	434	9	y6	y6	ADJ
ejpam-5581	434	10	−	−	PROPN
ejpam-5581	434	11	h61	h61	PROPN
ejpam-5581	434	12	)	)	PUNCT
ejpam-5581	434	13	}	}	PUNCT
ejpam-5581	435	1	−	−	ADP
ejpam-5581	435	2	7	7	NUM
ejpam-5581	435	3	g	g	NOUN
ejpam-5581	435	4	(	(	PUNCT
ejpam-5581	435	5	a	a	NOUN
ejpam-5581	435	6	)	)	PUNCT
ejpam-5581	435	7	4	4	NUM
ejpam-5581	435	8	{	{	SYM
ejpam-5581	435	9	8	8	NUM
ejpam-5581	435	10	g	g	NOUN
ejpam-5581	435	11	(	(	PUNCT
ejpam-5581	435	12	a	a	NOUN
ejpam-5581	435	13	)	)	PUNCT
ejpam-5581	435	14	1	1	NUM
ejpam-5581	435	15	λ	λ	PROPN
ejpam-5581	435	16	(	(	PUNCT
ejpam-5581	435	17	dxp0	dxp0	PROPN
ejpam-5581	435	18	)	)	PUNCT
ejpam-5581	435	19	8	8	NUM
ejpam-5581	435	20	(	(	PUNCT
ejpam-5581	435	21	y10	y10	NOUN
ejpam-5581	435	22	−	−	PROPN
ejpam-5581	435	23	h101	h101	PROPN
ejpam-5581	435	24	)	)	PUNCT
ejpam-5581	436	1	+	+	CCONJ
ejpam-5581	436	2	15	15	NUM
ejpam-5581	436	3	(	(	PUNCT
ejpam-5581	436	4	dxp0	dxp0	PROPN
ejpam-5581	436	5	)	)	PUNCT
ejpam-5581	436	6	5	5	NUM
ejpam-5581	436	7	dxp1	dxp1	NOUN
ejpam-5581	436	8	(	(	PUNCT
ejpam-5581	436	9	y8	y8	PROPN
ejpam-5581	436	10	−	−	PROPN
ejpam-5581	436	11	h81	h81	NOUN
ejpam-5581	436	12	)	)	PUNCT
ejpam-5581	436	13	}	}	PUNCT
ejpam-5581	436	14	]	]	PUNCT
ejpam-5581	437	1	+	+	CCONJ
ejpam-5581	437	2	t	t	X
ejpam-5581	437	3	(	(	PUNCT
ejpam-5581	437	4	2	2	NUM
ejpam-5581	437	5	)	)	PUNCT
ejpam-5581	437	6	2	2	NUM
ejpam-5581	437	7	(	(	PUNCT
ejpam-5581	437	8	x	x	NOUN
ejpam-5581	437	9	,	,	PUNCT
ejpam-5581	437	10	h1	h1	PROPN
ejpam-5581	437	11	)	)	PUNCT
ejpam-5581	437	12	.	.	PUNCT
ejpam-5581	438	1	(	(	PUNCT
ejpam-5581	438	2	105	105	NUM
ejpam-5581	438	3	)	)	PUNCT
ejpam-5581	438	4	t	t	NOUN
ejpam-5581	438	5	(	(	PUNCT
ejpam-5581	438	6	p	p	NOUN
ejpam-5581	438	7	)	)	PUNCT
ejpam-5581	438	8	0	0	PUNCT
ejpam-5581	439	1	(	(	PUNCT
ejpam-5581	439	2	x	x	NOUN
ejpam-5581	439	3	,	,	PUNCT
ejpam-5581	439	4	y	y	NOUN
ejpam-5581	439	5	)	)	PUNCT
ejpam-5581	439	6	=	=	SYM
ejpam-5581	439	7	0	0	NUM
ejpam-5581	439	8	,	,	PUNCT
ejpam-5581	439	9	(	(	PUNCT
ejpam-5581	439	10	106	106	NUM
ejpam-5581	439	11	)	)	PUNCT
ejpam-5581	439	12	t	t	NOUN
ejpam-5581	439	13	(	(	PUNCT
ejpam-5581	439	14	p	p	NOUN
ejpam-5581	439	15	)	)	PUNCT
ejpam-5581	439	16	1	1	NUM
ejpam-5581	439	17	(	(	PUNCT
ejpam-5581	439	18	x	x	NOUN
ejpam-5581	439	19	,	,	PUNCT
ejpam-5581	439	20	y	y	PROPN
ejpam-5581	439	21	)	)	PUNCT
ejpam-5581	440	1	=	=	SYM
ejpam-5581	440	2	g	g	PROPN
ejpam-5581	440	3	(	(	PUNCT
ejpam-5581	440	4	p	p	NOUN
ejpam-5581	440	5	)	)	PUNCT
ejpam-5581	440	6	2	2	NUM
ejpam-5581	440	7	840	840	NUM
ejpam-5581	440	8	[	[	PUNCT
ejpam-5581	440	9	15	15	NUM
ejpam-5581	440	10	g	g	NOUN
ejpam-5581	440	11	(	(	PUNCT
ejpam-5581	440	12	p	p	NOUN
ejpam-5581	440	13	)	)	PUNCT
ejpam-5581	440	14	4	4	NUM
ejpam-5581	440	15	(	(	PUNCT
ejpam-5581	440	16	dxp0	dxp0	PROPN
ejpam-5581	440	17	)	)	PUNCT
ejpam-5581	440	18	6	6	NUM
ejpam-5581	440	19	(	(	PUNCT
ejpam-5581	440	20	y7	y7	PROPN
ejpam-5581	440	21	−	−	PROPN
ejpam-5581	440	22	h7	h7	PROPN
ejpam-5581	440	23	)	)	PUNCT
ejpam-5581	440	24	−	−	PROPN
ejpam-5581	441	1	28	28	NUM
ejpam-5581	441	2	g	g	NOUN
ejpam-5581	441	3	(	(	PUNCT
ejpam-5581	441	4	p	p	NOUN
ejpam-5581	441	5	)	)	PUNCT
ejpam-5581	441	6	3	3	NUM
ejpam-5581	441	7	(	(	PUNCT
ejpam-5581	441	8	dxp0	dxp0	PROPN
ejpam-5581	441	9	)	)	PUNCT
ejpam-5581	441	10	4	4	NUM
ejpam-5581	441	11	(	(	PUNCT
ejpam-5581	441	12	y5	y5	NOUN
ejpam-5581	441	13	−	−	PROPN
ejpam-5581	441	14	h5	h5	NOUN
ejpam-5581	441	15	)	)	PUNCT
ejpam-5581	441	16	−	−	PROPN
ejpam-5581	441	17	70	70	NUM
ejpam-5581	441	18	(	(	PUNCT
ejpam-5581	441	19	dxp0	dxp0	PROPN
ejpam-5581	441	20	)	)	PUNCT
ejpam-5581	441	21	2	2	NUM
ejpam-5581	441	22	(	(	PUNCT
ejpam-5581	441	23	y4	y4	PROPN
ejpam-5581	441	24	−	−	PROPN
ejpam-5581	441	25	h4	h4	PROPN
ejpam-5581	441	26	)	)	PUNCT
ejpam-5581	441	27	]	]	PUNCT
ejpam-5581	442	1	+	+	CCONJ
ejpam-5581	442	2	g	g	NOUN
ejpam-5581	442	3	(	(	PUNCT
ejpam-5581	442	4	a	a	NOUN
ejpam-5581	442	5	)	)	PUNCT
ejpam-5581	442	6	2	2	NUM
ejpam-5581	442	7	105ζ	105ζ	NOUN
ejpam-5581	442	8	[	[	PUNCT
ejpam-5581	442	9	15	15	NUM
ejpam-5581	442	10	g	g	NOUN
ejpam-5581	442	11	(	(	PUNCT
ejpam-5581	442	12	a	a	NOUN
ejpam-5581	442	13	)	)	PUNCT
ejpam-5581	442	14	4	4	NUM
ejpam-5581	442	15	(	(	PUNCT
ejpam-5581	442	16	dxp0	dxp0	PROPN
ejpam-5581	442	17	)	)	PUNCT
ejpam-5581	442	18	6	6	NUM
ejpam-5581	442	19	h71	h71	NUM
ejpam-5581	442	20	−	−	NUM
ejpam-5581	442	21	21	21	NUM
ejpam-5581	442	22	g	g	NOUN
ejpam-5581	442	23	(	(	PUNCT
ejpam-5581	442	24	a	a	NOUN
ejpam-5581	442	25	)	)	PUNCT
ejpam-5581	442	26	3	3	NUM
ejpam-5581	442	27	(	(	PUNCT
ejpam-5581	442	28	dxp0	dxp0	PROPN
ejpam-5581	442	29	)	)	PUNCT
ejpam-5581	442	30	4	4	NUM
ejpam-5581	442	31	h51	h51	NOUN
ejpam-5581	442	32	−	−	PROPN
ejpam-5581	442	33	35	35	NUM
ejpam-5581	442	34	(	(	PUNCT
ejpam-5581	442	35	dxp0	dxp0	PROPN
ejpam-5581	442	36	)	)	PUNCT
ejpam-5581	442	37	2	2	NUM
ejpam-5581	442	38	h31	h31	NOUN
ejpam-5581	442	39	]	]	PUNCT
ejpam-5581	443	1	(	(	PUNCT
ejpam-5581	443	2	y	y	PROPN
ejpam-5581	443	3	−	−	PROPN
ejpam-5581	443	4	h)−	h)−	PROPN
ejpam-5581	443	5	g	g	PROPN
ejpam-5581	443	6	(	(	PUNCT
ejpam-5581	443	7	p	p	NOUN
ejpam-5581	443	8	)	)	PUNCT
ejpam-5581	443	9	2	2	NUM
ejpam-5581	443	10	105	105	NUM
ejpam-5581	443	11	[	[	PUNCT
ejpam-5581	443	12	15	15	NUM
ejpam-5581	443	13	g	g	NOUN
ejpam-5581	443	14	(	(	PUNCT
ejpam-5581	443	15	p	p	NOUN
ejpam-5581	443	16	)	)	PUNCT
ejpam-5581	443	17	4	4	NUM
ejpam-5581	443	18	×	×	NOUN
ejpam-5581	443	19	(	(	PUNCT
ejpam-5581	443	20	dxp0	dxp0	PROPN
ejpam-5581	443	21	)	)	PUNCT
ejpam-5581	443	22	6	6	NUM
ejpam-5581	443	23	h71	h71	PROPN
ejpam-5581	443	24	+	+	NUM
ejpam-5581	443	25	21	21	NUM
ejpam-5581	443	26	g	g	NOUN
ejpam-5581	443	27	(	(	PUNCT
ejpam-5581	443	28	p	p	NOUN
ejpam-5581	443	29	)	)	PUNCT
ejpam-5581	443	30	3	3	NUM
ejpam-5581	443	31	(	(	PUNCT
ejpam-5581	443	32	dxp0	dxp0	PROPN
ejpam-5581	443	33	)	)	PUNCT
ejpam-5581	443	34	4	4	NUM
ejpam-5581	443	35	h51	h51	NOUN
ejpam-5581	443	36	+	+	CCONJ
ejpam-5581	443	37	35	35	NUM
ejpam-5581	443	38	(	(	PUNCT
ejpam-5581	443	39	dxp0	dxp0	PROPN
ejpam-5581	443	40	)	)	PUNCT
ejpam-5581	443	41	2	2	NUM
ejpam-5581	443	42	h31	h31	NOUN
ejpam-5581	443	43	]	]	PUNCT
ejpam-5581	443	44	(	(	PUNCT
ejpam-5581	443	45	y	y	PROPN
ejpam-5581	443	46	−	−	PROPN
ejpam-5581	443	47	h	h	NOUN
ejpam-5581	443	48	)	)	PUNCT
ejpam-5581	443	49	,	,	PUNCT
ejpam-5581	443	50	(	(	PUNCT
ejpam-5581	443	51	107	107	NUM
ejpam-5581	443	52	)	)	PUNCT
ejpam-5581	443	53	t	t	NOUN
ejpam-5581	443	54	(	(	PUNCT
ejpam-5581	443	55	p	p	NOUN
ejpam-5581	443	56	)	)	PUNCT
ejpam-5581	443	57	2	2	NUM
ejpam-5581	443	58	(	(	PUNCT
ejpam-5581	443	59	x	x	NOUN
ejpam-5581	443	60	,	,	PUNCT
ejpam-5581	443	61	y	y	PROPN
ejpam-5581	443	62	)	)	PUNCT
ejpam-5581	444	1	=	=	SYM
ejpam-5581	444	2	g	g	PROPN
ejpam-5581	444	3	(	(	PUNCT
ejpam-5581	444	4	p	p	NOUN
ejpam-5581	444	5	)	)	PUNCT
ejpam-5581	444	6	2	2	NUM
ejpam-5581	444	7	840	840	NUM
ejpam-5581	444	8	[	[	PUNCT
ejpam-5581	444	9	56	56	NUM
ejpam-5581	444	10	g	g	NOUN
ejpam-5581	444	11	(	(	PUNCT
ejpam-5581	444	12	p	p	NOUN
ejpam-5581	444	13	)	)	PUNCT
ejpam-5581	444	14	1	1	NUM
ejpam-5581	444	15	(	(	PUNCT
ejpam-5581	444	16	dxp0	dxp0	PROPN
ejpam-5581	444	17	)	)	PUNCT
ejpam-5581	444	18	2	2	NUM
ejpam-5581	444	19	λ	λ	NOUN
ejpam-5581	444	20	(	(	PUNCT
ejpam-5581	444	21	y6	y6	ADJ
ejpam-5581	444	22	−	−	PROPN
ejpam-5581	444	23	h6	h6	PROPN
ejpam-5581	444	24	)	)	PUNCT
ejpam-5581	445	1	+	+	CCONJ
ejpam-5581	445	2	140dxp0dxp1	140dxp0dxp1	NUM
ejpam-5581	445	3	(	(	PUNCT
ejpam-5581	445	4	y4	y4	PROPN
ejpam-5581	445	5	−	−	PROPN
ejpam-5581	445	6	h4	h4	PROPN
ejpam-5581	445	7	)	)	PUNCT
ejpam-5581	446	1	+	+	CCONJ
ejpam-5581	446	2	8	8	NUM
ejpam-5581	446	3	g	g	NOUN
ejpam-5581	446	4	(	(	PUNCT
ejpam-5581	446	5	p	p	NOUN
ejpam-5581	446	6	)	)	PUNCT
ejpam-5581	446	7	3	3	NUM
ejpam-5581	446	8	{	{	PUNCT
ejpam-5581	446	9	15	15	NUM
ejpam-5581	446	10	g	g	NOUN
ejpam-5581	446	11	(	(	PUNCT
ejpam-5581	446	12	p	p	NOUN
ejpam-5581	446	13	)	)	PUNCT
ejpam-5581	446	14	1	1	NUM
ejpam-5581	446	15	(	(	PUNCT
ejpam-5581	446	16	dxp0	dxp0	PROPN
ejpam-5581	446	17	)	)	PUNCT
ejpam-5581	446	18	6	6	NUM
ejpam-5581	446	19	a.	a.	NOUN
ejpam-5581	446	20	alaidrous	alaidrous	NOUN
ejpam-5581	446	21	,	,	PUNCT
ejpam-5581	446	22	h.	h.	PROPN
ejpam-5581	446	23	ashraf	ashraf	PROPN
ejpam-5581	446	24	/	/	SYM
ejpam-5581	446	25	eur	eur	PROPN
ejpam-5581	446	26	.	.	PUNCT
ejpam-5581	447	1	j.	j.	PROPN
ejpam-5581	447	2	pure	pure	PROPN
ejpam-5581	447	3	appl	appl	PROPN
ejpam-5581	447	4	.	.	PROPN
ejpam-5581	447	5	math	math	PROPN
ejpam-5581	447	6	,	,	PUNCT
ejpam-5581	447	7	18	18	NUM
ejpam-5581	447	8	(	(	PUNCT
ejpam-5581	447	9	1	1	NUM
ejpam-5581	447	10	)	)	PUNCT
ejpam-5581	447	11	(	(	PUNCT
ejpam-5581	447	12	2025	2025	NUM
ejpam-5581	447	13	)	)	PUNCT
ejpam-5581	447	14	,	,	PUNCT
ejpam-5581	447	15	5581	5581	NUM
ejpam-5581	447	16	17	17	NUM
ejpam-5581	447	17	of	of	ADP
ejpam-5581	447	18	30	30	NUM
ejpam-5581	447	19	×	×	NOUN
ejpam-5581	447	20	λ	λ	PROPN
ejpam-5581	447	21	(	(	PUNCT
ejpam-5581	447	22	y8	y8	PROPN
ejpam-5581	447	23	−	−	PROPN
ejpam-5581	447	24	h8	h8	PROPN
ejpam-5581	447	25	)	)	PUNCT
ejpam-5581	448	1	+	+	CCONJ
ejpam-5581	448	2	28	28	NUM
ejpam-5581	448	3	(	(	PUNCT
ejpam-5581	448	4	dxp0	dxp0	PROPN
ejpam-5581	448	5	)	)	PUNCT
ejpam-5581	448	6	3	3	NUM
ejpam-5581	448	7	dxp1	dxp1	NOUN
ejpam-5581	448	8	(	(	PUNCT
ejpam-5581	448	9	y6	y6	ADJ
ejpam-5581	448	10	−	−	PROPN
ejpam-5581	448	11	h6	h6	PROPN
ejpam-5581	448	12	)	)	PUNCT
ejpam-5581	448	13	}	}	PUNCT
ejpam-5581	449	1	−	−	ADP
ejpam-5581	449	2	7	7	NUM
ejpam-5581	449	3	g	g	NOUN
ejpam-5581	449	4	(	(	PUNCT
ejpam-5581	449	5	p	p	NOUN
ejpam-5581	449	6	)	)	PUNCT
ejpam-5581	449	7	4	4	NUM
ejpam-5581	449	8	{	{	SYM
ejpam-5581	449	9	8	8	NUM
ejpam-5581	449	10	g	g	NOUN
ejpam-5581	449	11	(	(	PUNCT
ejpam-5581	449	12	p	p	NOUN
ejpam-5581	449	13	)	)	PUNCT
ejpam-5581	449	14	1	1	NUM
ejpam-5581	449	15	(	(	PUNCT
ejpam-5581	449	16	dxp0	dxp0	PROPN
ejpam-5581	449	17	)	)	PUNCT
ejpam-5581	449	18	8	8	NUM
ejpam-5581	449	19	λ	λ	INTJ
ejpam-5581	449	20	(	(	PUNCT
ejpam-5581	449	21	y10	y10	NOUN
ejpam-5581	449	22	−	−	PROPN
ejpam-5581	449	23	h10	h10	NOUN
ejpam-5581	449	24	)	)	PUNCT
ejpam-5581	450	1	+	+	CCONJ
ejpam-5581	450	2	15	15	NUM
ejpam-5581	450	3	(	(	PUNCT
ejpam-5581	450	4	dxp0	dxp0	PROPN
ejpam-5581	450	5	)	)	PUNCT
ejpam-5581	450	6	5	5	NUM
ejpam-5581	450	7	dxp1	dxp1	NOUN
ejpam-5581	450	8	(	(	PUNCT
ejpam-5581	450	9	y8	y8	PROPN
ejpam-5581	450	10	−	−	PROPN
ejpam-5581	450	11	h8	h8	PROPN
ejpam-5581	450	12	)	)	PUNCT
ejpam-5581	450	13	}	}	PUNCT
ejpam-5581	450	14	]	]	PUNCT
ejpam-5581	451	1	−	−	PROPN
ejpam-5581	451	2	g	g	NOUN
ejpam-5581	451	3	(	(	PUNCT
ejpam-5581	451	4	p	p	NOUN
ejpam-5581	451	5	)	)	PUNCT
ejpam-5581	451	6	2	2	NUM
ejpam-5581	451	7	105	105	NUM
ejpam-5581	451	8	[	[	PUNCT
ejpam-5581	451	9	42	42	NUM
ejpam-5581	451	10	g	g	NOUN
ejpam-5581	451	11	(	(	PUNCT
ejpam-5581	451	12	p	p	NOUN
ejpam-5581	451	13	)	)	PUNCT
ejpam-5581	451	14	1	1	NUM
ejpam-5581	451	15	(	(	PUNCT
ejpam-5581	451	16	dxp0	dxp0	PROPN
ejpam-5581	451	17	)	)	PUNCT
ejpam-5581	451	18	4	4	NUM
ejpam-5581	451	19	h51λ	h51λ	PROPN
ejpam-5581	451	20	+	+	NUM
ejpam-5581	451	21	35dxp0dxp1h	35dxp0dxp1h	NUM
ejpam-5581	451	22	3	3	NUM
ejpam-5581	451	23	1	1	NUM
ejpam-5581	451	24	+	+	CCONJ
ejpam-5581	451	25	g	g	PROPN
ejpam-5581	451	26	(	(	PUNCT
ejpam-5581	451	27	p	p	NOUN
ejpam-5581	451	28	)	)	PUNCT
ejpam-5581	451	29	3	3	NUM
ejpam-5581	451	30	{	{	PUNCT
ejpam-5581	451	31	20	20	NUM
ejpam-5581	451	32	g	g	NOUN
ejpam-5581	451	33	(	(	PUNCT
ejpam-5581	451	34	p	p	NOUN
ejpam-5581	451	35	)	)	PUNCT
ejpam-5581	451	36	1	1	NUM
ejpam-5581	451	37	(	(	PUNCT
ejpam-5581	451	38	dxp0	dxp0	PROPN
ejpam-5581	451	39	)	)	PUNCT
ejpam-5581	451	40	6	6	NUM
ejpam-5581	451	41	h71λ	h71λ	PROPN
ejpam-5581	451	42	+	+	NUM
ejpam-5581	451	43	28	28	NUM
ejpam-5581	451	44	(	(	PUNCT
ejpam-5581	451	45	dxp0	dxp0	PROPN
ejpam-5581	451	46	)	)	PUNCT
ejpam-5581	451	47	3	3	NUM
ejpam-5581	451	48	dxp1h	dxp1h	NOUN
ejpam-5581	451	49	5	5	NUM
ejpam-5581	451	50	1	1	NUM
ejpam-5581	451	51	}	}	PUNCT
ejpam-5581	451	52	−g	−g	NOUN
ejpam-5581	451	53	(	(	PUNCT
ejpam-5581	451	54	p	p	NOUN
ejpam-5581	451	55	)	)	PUNCT
ejpam-5581	451	56	4	4	NUM
ejpam-5581	451	57	{	{	SYM
ejpam-5581	451	58	2	2	NUM
ejpam-5581	451	59	g	g	NOUN
ejpam-5581	451	60	(	(	PUNCT
ejpam-5581	451	61	p	p	NOUN
ejpam-5581	451	62	)	)	PUNCT
ejpam-5581	451	63	1	1	NUM
ejpam-5581	451	64	(	(	PUNCT
ejpam-5581	451	65	dxp0	dxp0	PROPN
ejpam-5581	451	66	)	)	PUNCT
ejpam-5581	451	67	8	8	NUM
ejpam-5581	451	68	h41λ	h41λ	X
ejpam-5581	451	69	+	+	SYM
ejpam-5581	451	70	5	5	NUM
ejpam-5581	451	71	(	(	PUNCT
ejpam-5581	451	72	dxp0	dxp0	PROPN
ejpam-5581	451	73	)	)	PUNCT
ejpam-5581	451	74	5	5	NUM
ejpam-5581	451	75	dxp1h	dxp1h	NOUN
ejpam-5581	451	76	7	7	NUM
ejpam-5581	451	77	1	1	NUM
ejpam-5581	451	78	}	}	PUNCT
ejpam-5581	451	79	]	]	PUNCT
ejpam-5581	451	80	(	(	PUNCT
ejpam-5581	451	81	y	y	PROPN
ejpam-5581	451	82	−	−	PROPN
ejpam-5581	451	83	h	h	NOUN
ejpam-5581	451	84	)	)	PUNCT
ejpam-5581	451	85	+	+	CCONJ
ejpam-5581	451	86	g	g	NOUN
ejpam-5581	451	87	(	(	PUNCT
ejpam-5581	451	88	a	a	NOUN
ejpam-5581	451	89	)	)	PUNCT
ejpam-5581	451	90	2	2	NUM
ejpam-5581	451	91	105ζ	105ζ	NOUN
ejpam-5581	451	92	[	[	PUNCT
ejpam-5581	451	93	42	42	NUM
ejpam-5581	451	94	g	g	NOUN
ejpam-5581	451	95	(	(	PUNCT
ejpam-5581	451	96	a	a	NOUN
ejpam-5581	451	97	)	)	PUNCT
ejpam-5581	451	98	1	1	NUM
ejpam-5581	451	99	(	(	PUNCT
ejpam-5581	451	100	dxp0	dxp0	PROPN
ejpam-5581	451	101	)	)	PUNCT
ejpam-5581	451	102	4	4	NUM
ejpam-5581	451	103	h51λ	h51λ	PROPN
ejpam-5581	452	1	+	+	NUM
ejpam-5581	452	2	70dxp0dxp1h	70dxp0dxp1h	NUM
ejpam-5581	452	3	3	3	NUM
ejpam-5581	452	4	1	1	NUM
ejpam-5581	452	5	+	+	CCONJ
ejpam-5581	452	6	3	3	NUM
ejpam-5581	452	7	g	g	NOUN
ejpam-5581	452	8	(	(	PUNCT
ejpam-5581	452	9	a	a	NOUN
ejpam-5581	452	10	)	)	PUNCT
ejpam-5581	452	11	3	3	NUM
ejpam-5581	452	12	{	{	PUNCT
ejpam-5581	452	13	20	20	NUM
ejpam-5581	452	14	g	g	NOUN
ejpam-5581	452	15	(	(	PUNCT
ejpam-5581	452	16	a	a	NOUN
ejpam-5581	452	17	)	)	PUNCT
ejpam-5581	452	18	1	1	NUM
ejpam-5581	452	19	(	(	PUNCT
ejpam-5581	452	20	dxp0	dxp0	PROPN
ejpam-5581	452	21	)	)	PUNCT
ejpam-5581	452	22	6	6	NUM
ejpam-5581	452	23	h71λ	h71λ	PROPN
ejpam-5581	452	24	+	+	NUM
ejpam-5581	452	25	28	28	NUM
ejpam-5581	452	26	(	(	PUNCT
ejpam-5581	452	27	dxp0	dxp0	PROPN
ejpam-5581	452	28	)	)	PUNCT
ejpam-5581	452	29	3	3	NUM
ejpam-5581	452	30	dxp1h	dxp1h	PROPN
ejpam-5581	452	31	6	6	NUM
ejpam-5581	452	32	1	1	NUM
ejpam-5581	452	33	}	}	PUNCT
ejpam-5581	452	34	−	−	PROPN
ejpam-5581	452	35	35	35	NUM
ejpam-5581	452	36	g	g	NOUN
ejpam-5581	452	37	(	(	PUNCT
ejpam-5581	452	38	a	a	NOUN
ejpam-5581	452	39	)	)	PUNCT
ejpam-5581	452	40	4	4	NUM
ejpam-5581	452	41	{	{	SYM
ejpam-5581	452	42	2	2	NUM
ejpam-5581	452	43	g	g	NOUN
ejpam-5581	452	44	(	(	PUNCT
ejpam-5581	452	45	a	a	NOUN
ejpam-5581	452	46	)	)	PUNCT
ejpam-5581	452	47	1	1	NUM
ejpam-5581	452	48	(	(	PUNCT
ejpam-5581	452	49	dxp0	dxp0	PROPN
ejpam-5581	452	50	)	)	PUNCT
ejpam-5581	452	51	8	8	NUM
ejpam-5581	452	52	h41λ	h41λ	X
ejpam-5581	452	53	+	+	NOUN
ejpam-5581	452	54	3	3	NUM
ejpam-5581	452	55	(	(	PUNCT
ejpam-5581	452	56	dxp0	dxp0	PROPN
ejpam-5581	452	57	)	)	PUNCT
ejpam-5581	452	58	5	5	NUM
ejpam-5581	452	59	dxp1h	dxp1h	NOUN
ejpam-5581	452	60	7	7	NUM
ejpam-5581	452	61	1	1	NUM
ejpam-5581	452	62	}	}	PUNCT
ejpam-5581	452	63	]	]	PUNCT
ejpam-5581	452	64	(	(	PUNCT
ejpam-5581	452	65	y	y	PROPN
ejpam-5581	452	66	−	−	PROPN
ejpam-5581	452	67	h	h	NOUN
ejpam-5581	452	68	)	)	PUNCT
ejpam-5581	452	69	.	.	PUNCT
ejpam-5581	453	1	(	(	PUNCT
ejpam-5581	453	2	108	108	NUM
ejpam-5581	453	3	)	)	PUNCT
ejpam-5581	453	4	when	when	SCONJ
ejpam-5581	453	5	we	we	PRON
ejpam-5581	453	6	make	make	VERB
ejpam-5581	453	7	use	use	NOUN
ejpam-5581	453	8	of	of	ADP
ejpam-5581	453	9	temperature	temperature	NOUN
ejpam-5581	453	10	components	component	NOUN
ejpam-5581	453	11	calculated	calculate	VERB
ejpam-5581	453	12	in	in	ADP
ejpam-5581	453	13	eqs	eqs	PROPN
ejpam-5581	453	14	,	,	PUNCT
ejpam-5581	453	15	(	(	PUNCT
ejpam-5581	453	16	103)-(105	103)-(105	NOUN
ejpam-5581	453	17	)	)	PUNCT
ejpam-5581	453	18	into	into	ADP
ejpam-5581	453	19	eq	eq	NOUN
ejpam-5581	453	20	.	.	PUNCT
ejpam-5581	454	1	(	(	PUNCT
ejpam-5581	454	2	58	58	NUM
ejpam-5581	454	3	)	)	PUNCT
ejpam-5581	454	4	for	for	ADP
ejpam-5581	454	5	k	k	PROPN
ejpam-5581	454	6	=	=	PUNCT
ejpam-5581	454	7	a	a	PROPN
ejpam-5581	454	8	and	and	CCONJ
ejpam-5581	454	9	eqs	eqs	X
ejpam-5581	454	10	.	.	PUNCT
ejpam-5581	455	1	(	(	PUNCT
ejpam-5581	455	2	106)-(108	106)-(108	NUM
ejpam-5581	455	3	)	)	PUNCT
ejpam-5581	455	4	into	into	ADP
ejpam-5581	455	5	eq	eq	NOUN
ejpam-5581	455	6	.	.	PUNCT
ejpam-5581	456	1	(	(	PUNCT
ejpam-5581	456	2	58	58	NUM
ejpam-5581	456	3	)	)	PUNCT
ejpam-5581	456	4	for	for	ADP
ejpam-5581	456	5	k	k	PROPN
ejpam-5581	456	6	=	=	PUNCT
ejpam-5581	456	7	p	p	PROPN
ejpam-5581	456	8	,	,	PUNCT
ejpam-5581	456	9	we	we	PRON
ejpam-5581	456	10	get	get	VERB
ejpam-5581	456	11	the	the	DET
ejpam-5581	456	12	final	final	ADJ
ejpam-5581	456	13	acl	acl	PROPN
ejpam-5581	456	14	and	and	CCONJ
ejpam-5581	456	15	pcl	pcl	PROPN
ejpam-5581	456	16	temperature	temperature	NOUN
ejpam-5581	456	17	expressions	expression	NOUN
ejpam-5581	456	18	.	.	PUNCT
ejpam-5581	457	1	3.4	3.4	NUM
ejpam-5581	457	2	.	.	PUNCT
ejpam-5581	457	3	concentration	concentration	NOUN
ejpam-5581	457	4	using	use	VERB
ejpam-5581	457	5	adomian	adomian	NOUN
ejpam-5581	457	6	polynomials	polynomial	NOUN
ejpam-5581	457	7	(	(	PUNCT
ejpam-5581	457	8	70	70	NUM
ejpam-5581	457	9	)	)	PUNCT
ejpam-5581	457	10	,	,	PUNCT
ejpam-5581	457	11	(	(	PUNCT
ejpam-5581	457	12	72	72	NUM
ejpam-5581	457	13	)	)	PUNCT
ejpam-5581	457	14	,	,	PUNCT
ejpam-5581	457	15	and	and	CCONJ
ejpam-5581	457	16	(	(	PUNCT
ejpam-5581	457	17	73	73	NUM
ejpam-5581	457	18	)	)	PUNCT
ejpam-5581	457	19	is	be	AUX
ejpam-5581	457	20	the	the	DET
ejpam-5581	457	21	first	first	ADJ
ejpam-5581	457	22	step	step	NOUN
ejpam-5581	457	23	towards	towards	ADP
ejpam-5581	457	24	solving	solve	VERB
ejpam-5581	457	25	eqs	eqs	PROPN
ejpam-5581	457	26	.	.	PUNCT
ejpam-5581	458	1	(	(	PUNCT
ejpam-5581	458	2	68	68	NUM
ejpam-5581	458	3	)	)	PUNCT
ejpam-5581	458	4	and	and	CCONJ
ejpam-5581	458	5	(	(	PUNCT
ejpam-5581	458	6	69	69	NUM
ejpam-5581	458	7	)	)	PUNCT
ejpam-5581	458	8	.	.	PUNCT
ejpam-5581	459	1	by	by	ADP
ejpam-5581	459	2	applying	apply	VERB
ejpam-5581	459	3	the	the	DET
ejpam-5581	459	4	boundary	boundary	ADJ
ejpam-5581	459	5	conditions	condition	NOUN
ejpam-5581	459	6	of	of	ADP
ejpam-5581	459	7	concern	concern	NOUN
ejpam-5581	459	8	(	(	PUNCT
ejpam-5581	459	9	83)-(87	83)-(87	NOUN
ejpam-5581	459	10	)	)	PUNCT
ejpam-5581	459	11	to	to	ADP
ejpam-5581	459	12	the	the	DET
ejpam-5581	459	13	resultant	resultant	NOUN
ejpam-5581	459	14	equations	equation	NOUN
ejpam-5581	459	15	,	,	PUNCT
ejpam-5581	459	16	we	we	PRON
ejpam-5581	459	17	obtain	obtain	VERB
ejpam-5581	459	18	the	the	DET
ejpam-5581	459	19	concentrations	concentration	NOUN
ejpam-5581	459	20	components	component	NOUN
ejpam-5581	459	21	of	of	ADP
ejpam-5581	459	22	zeroth	zeroth	PROPN
ejpam-5581	459	23	,	,	PUNCT
ejpam-5581	459	24	first	first	ADV
ejpam-5581	459	25	,	,	PUNCT
ejpam-5581	459	26	and	and	CCONJ
ejpam-5581	459	27	second	second	ADJ
ejpam-5581	459	28	-	-	PUNCT
ejpam-5581	459	29	order	order	NOUN
ejpam-5581	459	30	when	when	SCONJ
ejpam-5581	459	31	we	we	PRON
ejpam-5581	459	32	set	set	VERB
ejpam-5581	459	33	respectively	respectively	ADV
ejpam-5581	459	34	the	the	DET
ejpam-5581	459	35	k	k	NOUN
ejpam-5581	459	36	=	=	SYM
ejpam-5581	459	37	p	p	NOUN
ejpam-5581	459	38	followed	follow	VERB
ejpam-5581	459	39	by	by	ADP
ejpam-5581	459	40	k	k	PROPN
ejpam-5581	459	41	=	=	PUNCT
ejpam-5581	459	42	a	a	X
ejpam-5581	459	43	:	:	PUNCT
ejpam-5581	459	44	c	c	X
ejpam-5581	459	45	(	(	PUNCT
ejpam-5581	459	46	a	a	X
ejpam-5581	459	47	)	)	PUNCT
ejpam-5581	459	48	0	0	NUM
ejpam-5581	460	1	(	(	PUNCT
ejpam-5581	460	2	x	x	NOUN
ejpam-5581	460	3	,	,	PUNCT
ejpam-5581	460	4	y	y	NOUN
ejpam-5581	460	5	)	)	PUNCT
ejpam-5581	460	6	=	=	SYM
ejpam-5581	460	7	0	0	NUM
ejpam-5581	460	8	,	,	PUNCT
ejpam-5581	460	9	(	(	PUNCT
ejpam-5581	460	10	109	109	NUM
ejpam-5581	460	11	)	)	PUNCT
ejpam-5581	460	12	c	c	NOUN
ejpam-5581	460	13	(	(	PUNCT
ejpam-5581	460	14	a	a	X
ejpam-5581	460	15	)	)	PUNCT
ejpam-5581	460	16	1	1	NUM
ejpam-5581	460	17	(	(	PUNCT
ejpam-5581	460	18	x	x	NOUN
ejpam-5581	460	19	,	,	PUNCT
ejpam-5581	460	20	y	y	NOUN
ejpam-5581	460	21	)	)	PUNCT
ejpam-5581	460	22	=	=	SYM
ejpam-5581	461	1	−	−	PROPN
ejpam-5581	461	2	j	j	PROPN
ejpam-5581	461	3	(	(	PUNCT
ejpam-5581	461	4	a	a	X
ejpam-5581	461	5	)	)	PUNCT
ejpam-5581	461	6	1	1	NUM
ejpam-5581	461	7	840	840	NUM
ejpam-5581	461	8	g	g	NOUN
ejpam-5581	461	9	(	(	PUNCT
ejpam-5581	461	10	a	a	NOUN
ejpam-5581	461	11	)	)	PUNCT
ejpam-5581	461	12	5	5	NUM
ejpam-5581	461	13	[	[	PUNCT
ejpam-5581	461	14	15	15	NUM
ejpam-5581	461	15	g	g	NOUN
ejpam-5581	461	16	(	(	PUNCT
ejpam-5581	461	17	a	a	NOUN
ejpam-5581	461	18	)	)	PUNCT
ejpam-5581	461	19	4	4	NUM
ejpam-5581	461	20	(	(	PUNCT
ejpam-5581	461	21	dxp0	dxp0	PROPN
ejpam-5581	461	22	)	)	PUNCT
ejpam-5581	461	23	6	6	NUM
ejpam-5581	461	24	(	(	PUNCT
ejpam-5581	461	25	y8	y8	PROPN
ejpam-5581	461	26	−	−	PROPN
ejpam-5581	461	27	h81	h81	VERB
ejpam-5581	461	28	)	)	PUNCT
ejpam-5581	461	29	−	−	PROPN
ejpam-5581	461	30	28	28	NUM
ejpam-5581	461	31	g	g	NOUN
ejpam-5581	461	32	(	(	PUNCT
ejpam-5581	461	33	a	a	NOUN
ejpam-5581	461	34	)	)	PUNCT
ejpam-5581	461	35	3	3	NUM
ejpam-5581	461	36	(	(	PUNCT
ejpam-5581	461	37	dxp0	dxp0	PROPN
ejpam-5581	461	38	)	)	PUNCT
ejpam-5581	461	39	4	4	NUM
ejpam-5581	461	40	(	(	PUNCT
ejpam-5581	461	41	y6	y6	ADJ
ejpam-5581	461	42	−	−	PROPN
ejpam-5581	461	43	h61	h61	PROPN
ejpam-5581	461	44	)	)	PUNCT
ejpam-5581	461	45	−	−	PROPN
ejpam-5581	461	46	70	70	NUM
ejpam-5581	461	47	(	(	PUNCT
ejpam-5581	461	48	dxp0	dxp0	PROPN
ejpam-5581	461	49	)	)	PUNCT
ejpam-5581	461	50	2	2	NUM
ejpam-5581	461	51	(	(	PUNCT
ejpam-5581	461	52	y4	y4	NOUN
ejpam-5581	461	53	−	−	PROPN
ejpam-5581	461	54	h41	h41	PROPN
ejpam-5581	461	55	)	)	PUNCT
ejpam-5581	461	56	]	]	PUNCT
ejpam-5581	462	1	+	+	CCONJ
ejpam-5581	462	2	c	c	X
ejpam-5581	462	3	(	(	PUNCT
ejpam-5581	462	4	p	p	NOUN
ejpam-5581	462	5	)	)	PUNCT
ejpam-5581	462	6	1	1	NUM
ejpam-5581	462	7	(	(	PUNCT
ejpam-5581	462	8	x	x	NOUN
ejpam-5581	462	9	,	,	PUNCT
ejpam-5581	462	10	h1	h1	PROPN
ejpam-5581	462	11	)	)	PUNCT
ejpam-5581	462	12	,	,	PUNCT
ejpam-5581	462	13	(	(	PUNCT
ejpam-5581	462	14	110	110	NUM
ejpam-5581	462	15	)	)	PUNCT
ejpam-5581	462	16	c	c	NOUN
ejpam-5581	462	17	(	(	PUNCT
ejpam-5581	462	18	a	a	X
ejpam-5581	462	19	)	)	PUNCT
ejpam-5581	462	20	2	2	NUM
ejpam-5581	462	21	(	(	PUNCT
ejpam-5581	462	22	x	x	NOUN
ejpam-5581	462	23	,	,	PUNCT
ejpam-5581	462	24	y	y	NOUN
ejpam-5581	462	25	)	)	PUNCT
ejpam-5581	463	1	=	=	SYM
ejpam-5581	463	2	j	j	PROPN
ejpam-5581	463	3	(	(	PUNCT
ejpam-5581	463	4	a	a	X
ejpam-5581	463	5	)	)	PUNCT
ejpam-5581	463	6	1	1	NUM
ejpam-5581	463	7	840	840	NUM
ejpam-5581	463	8	g	g	NOUN
ejpam-5581	463	9	(	(	PUNCT
ejpam-5581	463	10	a	a	NOUN
ejpam-5581	463	11	)	)	PUNCT
ejpam-5581	463	12	5	5	NUM
ejpam-5581	463	13	[	[	PUNCT
ejpam-5581	463	14	56	56	NUM
ejpam-5581	463	15	g	g	NOUN
ejpam-5581	463	16	(	(	PUNCT
ejpam-5581	463	17	a	a	NOUN
ejpam-5581	463	18	)	)	PUNCT
ejpam-5581	463	19	1	1	NUM
ejpam-5581	463	20	λ	λ	PROPN
ejpam-5581	463	21	(	(	PUNCT
ejpam-5581	463	22	dxp0	dxp0	PROPN
ejpam-5581	463	23	)	)	PUNCT
ejpam-5581	463	24	4	4	NUM
ejpam-5581	463	25	(	(	PUNCT
ejpam-5581	463	26	y6	y6	ADJ
ejpam-5581	463	27	−	−	PROPN
ejpam-5581	463	28	h61	h61	PROPN
ejpam-5581	463	29	)	)	PUNCT
ejpam-5581	464	1	+	+	CCONJ
ejpam-5581	464	2	140dxp0dxp1	140dxp0dxp1	NUM
ejpam-5581	464	3	(	(	PUNCT
ejpam-5581	464	4	y4	y4	PROPN
ejpam-5581	464	5	−	−	PROPN
ejpam-5581	464	6	h4	h4	PROPN
ejpam-5581	464	7	)	)	PUNCT
ejpam-5581	465	1	+	+	CCONJ
ejpam-5581	465	2	4	4	NUM
ejpam-5581	465	3	g	g	NOUN
ejpam-5581	465	4	(	(	PUNCT
ejpam-5581	465	5	a	a	NOUN
ejpam-5581	465	6	)	)	PUNCT
ejpam-5581	465	7	3	3	NUM
ejpam-5581	465	8	{	{	PUNCT
ejpam-5581	465	9	15	15	NUM
ejpam-5581	465	10	g	g	NOUN
ejpam-5581	465	11	(	(	PUNCT
ejpam-5581	465	12	a	a	NOUN
ejpam-5581	465	13	)	)	PUNCT
ejpam-5581	465	14	1	1	NUM
ejpam-5581	465	15	(	(	PUNCT
ejpam-5581	465	16	dxp0	dxp0	PROPN
ejpam-5581	465	17	)	)	PUNCT
ejpam-5581	465	18	6	6	NUM
ejpam-5581	465	19	×	×	NOUN
ejpam-5581	465	20	(	(	PUNCT
ejpam-5581	465	21	1−m	1−m	NUM
ejpam-5581	465	22	)	)	PUNCT
ejpam-5581	465	23	(	(	PUNCT
ejpam-5581	465	24	y8	y8	PROPN
ejpam-5581	465	25	−	−	PROPN
ejpam-5581	465	26	h81	h81	VERB
ejpam-5581	465	27	)	)	PUNCT
ejpam-5581	466	1	+	+	CCONJ
ejpam-5581	466	2	28	28	NUM
ejpam-5581	466	3	(	(	PUNCT
ejpam-5581	466	4	dxp0	dxp0	PROPN
ejpam-5581	466	5	)	)	PUNCT
ejpam-5581	466	6	3	3	NUM
ejpam-5581	466	7	dxp1	dxp1	NOUN
ejpam-5581	466	8	(	(	PUNCT
ejpam-5581	466	9	y6	y6	ADJ
ejpam-5581	466	10	−	−	PROPN
ejpam-5581	466	11	h61	h61	PROPN
ejpam-5581	466	12	)	)	PUNCT
ejpam-5581	466	13	}	}	PUNCT
ejpam-5581	467	1	−	−	ADP
ejpam-5581	467	2	7	7	NUM
ejpam-5581	467	3	g	g	NOUN
ejpam-5581	467	4	(	(	PUNCT
ejpam-5581	467	5	a	a	NOUN
ejpam-5581	467	6	)	)	PUNCT
ejpam-5581	467	7	4	4	NUM
ejpam-5581	467	8	{	{	SYM
ejpam-5581	467	9	8	8	NUM
ejpam-5581	467	10	g	g	NOUN
ejpam-5581	467	11	(	(	PUNCT
ejpam-5581	467	12	a	a	NOUN
ejpam-5581	467	13	)	)	PUNCT
ejpam-5581	467	14	1	1	NUM
ejpam-5581	467	15	(	(	PUNCT
ejpam-5581	467	16	1−m	1−m	NUM
ejpam-5581	467	17	)	)	PUNCT
ejpam-5581	467	18	(	(	PUNCT
ejpam-5581	467	19	dxp0	dxp0	PROPN
ejpam-5581	467	20	)	)	PUNCT
ejpam-5581	467	21	8	8	NUM
ejpam-5581	467	22	×	×	NOUN
ejpam-5581	467	23	(	(	PUNCT
ejpam-5581	467	24	y10	y10	NOUN
ejpam-5581	467	25	−	−	PROPN
ejpam-5581	467	26	h101	h101	PROPN
ejpam-5581	467	27	)	)	PUNCT
ejpam-5581	468	1	+	+	CCONJ
ejpam-5581	468	2	15	15	NUM
ejpam-5581	468	3	(	(	PUNCT
ejpam-5581	468	4	dxp0	dxp0	PROPN
ejpam-5581	468	5	)	)	PUNCT
ejpam-5581	468	6	5	5	NUM
ejpam-5581	468	7	dxp1	dxp1	NOUN
ejpam-5581	468	8	(	(	PUNCT
ejpam-5581	468	9	y8	y8	PROPN
ejpam-5581	468	10	−	−	PROPN
ejpam-5581	468	11	h81	h81	NOUN
ejpam-5581	468	12	)	)	PUNCT
ejpam-5581	468	13	}	}	PUNCT
ejpam-5581	468	14	]	]	PUNCT
ejpam-5581	469	1	+	+	CCONJ
ejpam-5581	469	2	c	c	X
ejpam-5581	469	3	(	(	PUNCT
ejpam-5581	469	4	p	p	NOUN
ejpam-5581	469	5	)	)	PUNCT
ejpam-5581	469	6	2	2	NUM
ejpam-5581	469	7	(	(	PUNCT
ejpam-5581	469	8	x	x	NOUN
ejpam-5581	469	9	,	,	PUNCT
ejpam-5581	469	10	h1	h1	PROPN
ejpam-5581	469	11	)	)	PUNCT
ejpam-5581	469	12	.	.	PUNCT
ejpam-5581	470	1	(	(	PUNCT
ejpam-5581	470	2	111	111	NUM
ejpam-5581	470	3	)	)	PUNCT
ejpam-5581	470	4	c	c	NOUN
ejpam-5581	470	5	(	(	PUNCT
ejpam-5581	470	6	p	p	NOUN
ejpam-5581	470	7	)	)	PUNCT
ejpam-5581	470	8	0	0	PUNCT
ejpam-5581	471	1	(	(	PUNCT
ejpam-5581	471	2	x	x	NOUN
ejpam-5581	471	3	,	,	PUNCT
ejpam-5581	471	4	y	y	NOUN
ejpam-5581	471	5	)	)	PUNCT
ejpam-5581	471	6	=	=	SYM
ejpam-5581	471	7	0	0	NUM
ejpam-5581	471	8	,	,	PUNCT
ejpam-5581	471	9	(	(	PUNCT
ejpam-5581	471	10	112	112	NUM
ejpam-5581	471	11	)	)	PUNCT
ejpam-5581	471	12	c	c	NOUN
ejpam-5581	471	13	(	(	PUNCT
ejpam-5581	471	14	p	p	NOUN
ejpam-5581	471	15	)	)	PUNCT
ejpam-5581	471	16	1	1	NUM
ejpam-5581	471	17	(	(	PUNCT
ejpam-5581	471	18	x	x	NOUN
ejpam-5581	471	19	,	,	PUNCT
ejpam-5581	471	20	y	y	NOUN
ejpam-5581	471	21	)	)	PUNCT
ejpam-5581	471	22	=	=	SYM
ejpam-5581	472	1	−	−	PROPN
ejpam-5581	472	2	j	j	NOUN
ejpam-5581	472	3	(	(	PUNCT
ejpam-5581	472	4	p	p	NOUN
ejpam-5581	472	5	)	)	PUNCT
ejpam-5581	472	6	1	1	NUM
ejpam-5581	472	7	840	840	NUM
ejpam-5581	472	8	g	g	NOUN
ejpam-5581	472	9	(	(	PUNCT
ejpam-5581	472	10	p	p	NOUN
ejpam-5581	472	11	)	)	PUNCT
ejpam-5581	472	12	5	5	NUM
ejpam-5581	472	13	[	[	PUNCT
ejpam-5581	472	14	15	15	NUM
ejpam-5581	472	15	g	g	NOUN
ejpam-5581	472	16	(	(	PUNCT
ejpam-5581	472	17	p	p	NOUN
ejpam-5581	472	18	)	)	PUNCT
ejpam-5581	472	19	4	4	NUM
ejpam-5581	472	20	(	(	PUNCT
ejpam-5581	472	21	dxp0	dxp0	PROPN
ejpam-5581	472	22	)	)	PUNCT
ejpam-5581	472	23	6	6	NUM
ejpam-5581	472	24	(	(	PUNCT
ejpam-5581	472	25	y7	y7	PROPN
ejpam-5581	472	26	−	−	PROPN
ejpam-5581	472	27	h7	h7	PROPN
ejpam-5581	472	28	)	)	PUNCT
ejpam-5581	472	29	−	−	PROPN
ejpam-5581	473	1	28	28	NUM
ejpam-5581	473	2	g	g	NOUN
ejpam-5581	473	3	(	(	PUNCT
ejpam-5581	473	4	p	p	NOUN
ejpam-5581	473	5	)	)	PUNCT
ejpam-5581	473	6	3	3	NUM
ejpam-5581	473	7	(	(	PUNCT
ejpam-5581	473	8	dxp0	dxp0	PROPN
ejpam-5581	473	9	)	)	PUNCT
ejpam-5581	473	10	4	4	NUM
ejpam-5581	473	11	(	(	PUNCT
ejpam-5581	473	12	y5	y5	NOUN
ejpam-5581	473	13	−	−	PROPN
ejpam-5581	473	14	h5	h5	NOUN
ejpam-5581	473	15	)	)	PUNCT
ejpam-5581	473	16	−	−	PROPN
ejpam-5581	473	17	70	70	NUM
ejpam-5581	473	18	(	(	PUNCT
ejpam-5581	473	19	dxp0	dxp0	PROPN
ejpam-5581	473	20	)	)	PUNCT
ejpam-5581	473	21	2	2	NUM
ejpam-5581	473	22	(	(	PUNCT
ejpam-5581	473	23	y4	y4	PROPN
ejpam-5581	473	24	−	−	PROPN
ejpam-5581	473	25	h4	h4	PROPN
ejpam-5581	473	26	)	)	PUNCT
ejpam-5581	473	27	]	]	PUNCT
ejpam-5581	474	1	−	−	PROPN
ejpam-5581	474	2	j	j	PROPN
ejpam-5581	474	3	(	(	PUNCT
ejpam-5581	474	4	a	a	NOUN
ejpam-5581	474	5	)	)	PUNCT
ejpam-5581	474	6	1	1	NUM
ejpam-5581	474	7	105ζg	105ζg	NOUN
ejpam-5581	474	8	(	(	PUNCT
ejpam-5581	474	9	a	a	NOUN
ejpam-5581	474	10	)	)	PUNCT
ejpam-5581	474	11	5	5	NUM
ejpam-5581	474	12	[	[	PUNCT
ejpam-5581	474	13	15	15	NUM
ejpam-5581	474	14	g	g	NOUN
ejpam-5581	474	15	(	(	PUNCT
ejpam-5581	474	16	a	a	NOUN
ejpam-5581	474	17	)	)	PUNCT
ejpam-5581	474	18	4	4	NUM
ejpam-5581	474	19	(	(	PUNCT
ejpam-5581	474	20	dxp0	dxp0	PROPN
ejpam-5581	474	21	)	)	PUNCT
ejpam-5581	474	22	6	6	NUM
ejpam-5581	474	23	h71	h71	NUM
ejpam-5581	474	24	−	−	NUM
ejpam-5581	474	25	21	21	NUM
ejpam-5581	474	26	g	g	NOUN
ejpam-5581	474	27	(	(	PUNCT
ejpam-5581	474	28	a	a	NOUN
ejpam-5581	474	29	)	)	PUNCT
ejpam-5581	474	30	3	3	NUM
ejpam-5581	474	31	(	(	PUNCT
ejpam-5581	474	32	dxp0	dxp0	PROPN
ejpam-5581	474	33	)	)	PUNCT
ejpam-5581	474	34	4	4	NUM
ejpam-5581	474	35	h51	h51	NOUN
ejpam-5581	474	36	−	−	PROPN
ejpam-5581	474	37	35	35	NUM
ejpam-5581	474	38	(	(	PUNCT
ejpam-5581	474	39	dxp0	dxp0	PROPN
ejpam-5581	474	40	)	)	PUNCT
ejpam-5581	474	41	2	2	NUM
ejpam-5581	474	42	h31	h31	NOUN
ejpam-5581	474	43	]	]	PUNCT
ejpam-5581	474	44	(	(	PUNCT
ejpam-5581	474	45	y	y	PROPN
ejpam-5581	474	46	−	−	PROPN
ejpam-5581	474	47	h	h	NOUN
ejpam-5581	474	48	)	)	PUNCT
ejpam-5581	474	49	+	+	CCONJ
ejpam-5581	474	50	j	j	X
ejpam-5581	474	51	(	(	PUNCT
ejpam-5581	474	52	p	p	NOUN
ejpam-5581	474	53	)	)	PUNCT
ejpam-5581	474	54	1	1	NUM
ejpam-5581	474	55	105	105	NUM
ejpam-5581	474	56	g	g	NOUN
ejpam-5581	474	57	(	(	PUNCT
ejpam-5581	474	58	p	p	NOUN
ejpam-5581	474	59	)	)	PUNCT
ejpam-5581	474	60	5	5	NUM
ejpam-5581	474	61	×	×	NOUN
ejpam-5581	474	62	[	[	PUNCT
ejpam-5581	474	63	15	15	NUM
ejpam-5581	474	64	g	g	NOUN
ejpam-5581	474	65	(	(	PUNCT
ejpam-5581	474	66	p	p	NOUN
ejpam-5581	474	67	)	)	PUNCT
ejpam-5581	474	68	4	4	NUM
ejpam-5581	474	69	(	(	PUNCT
ejpam-5581	474	70	dxp0	dxp0	PROPN
ejpam-5581	474	71	)	)	PUNCT
ejpam-5581	474	72	6	6	NUM
ejpam-5581	474	73	h71	h71	PROPN
ejpam-5581	474	74	+	+	NUM
ejpam-5581	474	75	21	21	NUM
ejpam-5581	474	76	g	g	NOUN
ejpam-5581	474	77	(	(	PUNCT
ejpam-5581	474	78	p	p	NOUN
ejpam-5581	474	79	)	)	PUNCT
ejpam-5581	474	80	3	3	NUM
ejpam-5581	474	81	(	(	PUNCT
ejpam-5581	474	82	dxp0	dxp0	PROPN
ejpam-5581	474	83	)	)	PUNCT
ejpam-5581	474	84	4	4	NUM
ejpam-5581	474	85	h51	h51	NOUN
ejpam-5581	474	86	+	+	CCONJ
ejpam-5581	474	87	35	35	NUM
ejpam-5581	474	88	(	(	PUNCT
ejpam-5581	474	89	dxp0	dxp0	PROPN
ejpam-5581	474	90	)	)	PUNCT
ejpam-5581	474	91	2	2	NUM
ejpam-5581	474	92	h31	h31	NOUN
ejpam-5581	474	93	]	]	PUNCT
ejpam-5581	474	94	(	(	PUNCT
ejpam-5581	474	95	y	y	PROPN
ejpam-5581	474	96	−	−	PROPN
ejpam-5581	474	97	h	h	NOUN
ejpam-5581	474	98	)	)	PUNCT
ejpam-5581	474	99	,	,	PUNCT
ejpam-5581	474	100	(	(	PUNCT
ejpam-5581	474	101	113	113	NUM
ejpam-5581	474	102	)	)	PUNCT
ejpam-5581	474	103	a.	a.	NOUN
ejpam-5581	474	104	alaidrous	alaidrous	PROPN
ejpam-5581	474	105	,	,	PUNCT
ejpam-5581	474	106	h.	h.	PROPN
ejpam-5581	474	107	ashraf	ashraf	PROPN
ejpam-5581	474	108	/	/	SYM
ejpam-5581	474	109	eur	eur	PROPN
ejpam-5581	474	110	.	.	PUNCT
ejpam-5581	475	1	j.	j.	PROPN
ejpam-5581	475	2	pure	pure	PROPN
ejpam-5581	475	3	appl	appl	PROPN
ejpam-5581	475	4	.	.	PROPN
ejpam-5581	475	5	math	math	PROPN
ejpam-5581	475	6	,	,	PUNCT
ejpam-5581	475	7	18	18	NUM
ejpam-5581	475	8	(	(	PUNCT
ejpam-5581	475	9	1	1	NUM
ejpam-5581	475	10	)	)	PUNCT
ejpam-5581	475	11	(	(	PUNCT
ejpam-5581	475	12	2025	2025	NUM
ejpam-5581	475	13	)	)	PUNCT
ejpam-5581	475	14	,	,	PUNCT
ejpam-5581	475	15	5581	5581	NUM
ejpam-5581	475	16	18	18	NUM
ejpam-5581	475	17	of	of	ADP
ejpam-5581	475	18	30	30	NUM
ejpam-5581	475	19	c	c	NOUN
ejpam-5581	475	20	(	(	PUNCT
ejpam-5581	475	21	p	p	NOUN
ejpam-5581	475	22	)	)	PUNCT
ejpam-5581	475	23	2	2	NUM
ejpam-5581	475	24	(	(	PUNCT
ejpam-5581	475	25	x	x	NOUN
ejpam-5581	475	26	,	,	PUNCT
ejpam-5581	475	27	y	y	NOUN
ejpam-5581	475	28	)	)	PUNCT
ejpam-5581	475	29	=	=	SYM
ejpam-5581	476	1	−	−	PROPN
ejpam-5581	476	2	j	j	NOUN
ejpam-5581	476	3	(	(	PUNCT
ejpam-5581	476	4	p	p	NOUN
ejpam-5581	476	5	)	)	PUNCT
ejpam-5581	476	6	1	1	NUM
ejpam-5581	476	7	840	840	NUM
ejpam-5581	476	8	g	g	NOUN
ejpam-5581	476	9	(	(	PUNCT
ejpam-5581	476	10	p	p	NOUN
ejpam-5581	476	11	)	)	PUNCT
ejpam-5581	476	12	5	5	NUM
ejpam-5581	476	13	[	[	PUNCT
ejpam-5581	476	14	56	56	NUM
ejpam-5581	476	15	g	g	NOUN
ejpam-5581	476	16	(	(	PUNCT
ejpam-5581	476	17	p	p	NOUN
ejpam-5581	476	18	)	)	PUNCT
ejpam-5581	476	19	1	1	NUM
ejpam-5581	476	20	(	(	PUNCT
ejpam-5581	476	21	dxp0	dxp0	PROPN
ejpam-5581	476	22	)	)	PUNCT
ejpam-5581	476	23	2	2	NUM
ejpam-5581	476	24	λ	λ	NOUN
ejpam-5581	476	25	(	(	PUNCT
ejpam-5581	476	26	y6	y6	ADJ
ejpam-5581	476	27	−	−	PROPN
ejpam-5581	476	28	h6	h6	PROPN
ejpam-5581	476	29	)	)	PUNCT
ejpam-5581	477	1	+	+	CCONJ
ejpam-5581	477	2	140dxp0dxp1	140dxp0dxp1	NUM
ejpam-5581	477	3	(	(	PUNCT
ejpam-5581	477	4	y4	y4	PROPN
ejpam-5581	477	5	−	−	PROPN
ejpam-5581	477	6	h4	h4	PROPN
ejpam-5581	477	7	)	)	PUNCT
ejpam-5581	478	1	+	+	CCONJ
ejpam-5581	478	2	8	8	NUM
ejpam-5581	478	3	g	g	NOUN
ejpam-5581	478	4	(	(	PUNCT
ejpam-5581	478	5	p	p	NOUN
ejpam-5581	478	6	)	)	PUNCT
ejpam-5581	478	7	3	3	NUM
ejpam-5581	478	8	{	{	PUNCT
ejpam-5581	478	9	15	15	NUM
ejpam-5581	478	10	g	g	NOUN
ejpam-5581	478	11	(	(	PUNCT
ejpam-5581	478	12	p	p	NOUN
ejpam-5581	478	13	)	)	PUNCT
ejpam-5581	478	14	1	1	NUM
ejpam-5581	478	15	(	(	PUNCT
ejpam-5581	478	16	dxp0	dxp0	PROPN
ejpam-5581	478	17	)	)	PUNCT
ejpam-5581	478	18	6	6	NUM
ejpam-5581	478	19	×	×	NOUN
ejpam-5581	478	20	λ	λ	X
ejpam-5581	478	21	(	(	PUNCT
ejpam-5581	478	22	y8	y8	PROPN
ejpam-5581	478	23	−	−	PROPN
ejpam-5581	478	24	h8	h8	PROPN
ejpam-5581	478	25	)	)	PUNCT
ejpam-5581	479	1	+	+	CCONJ
ejpam-5581	479	2	28	28	NUM
ejpam-5581	479	3	(	(	PUNCT
ejpam-5581	479	4	dxp0	dxp0	PROPN
ejpam-5581	479	5	)	)	PUNCT
ejpam-5581	479	6	3	3	NUM
ejpam-5581	479	7	dxp1	dxp1	NOUN
ejpam-5581	479	8	(	(	PUNCT
ejpam-5581	479	9	y6	y6	ADJ
ejpam-5581	479	10	−	−	PROPN
ejpam-5581	479	11	h6	h6	PROPN
ejpam-5581	479	12	)	)	PUNCT
ejpam-5581	479	13	}	}	PUNCT
ejpam-5581	480	1	−	−	ADP
ejpam-5581	480	2	7	7	NUM
ejpam-5581	480	3	g	g	NOUN
ejpam-5581	480	4	(	(	PUNCT
ejpam-5581	480	5	p	p	NOUN
ejpam-5581	480	6	)	)	PUNCT
ejpam-5581	480	7	4	4	NUM
ejpam-5581	480	8	{	{	SYM
ejpam-5581	480	9	8	8	NUM
ejpam-5581	480	10	g	g	NOUN
ejpam-5581	480	11	(	(	PUNCT
ejpam-5581	480	12	p	p	NOUN
ejpam-5581	480	13	)	)	PUNCT
ejpam-5581	480	14	1	1	NUM
ejpam-5581	480	15	(	(	PUNCT
ejpam-5581	480	16	dxp0	dxp0	PROPN
ejpam-5581	480	17	)	)	PUNCT
ejpam-5581	480	18	8	8	NUM
ejpam-5581	480	19	λ	λ	INTJ
ejpam-5581	480	20	(	(	PUNCT
ejpam-5581	480	21	y10	y10	NOUN
ejpam-5581	480	22	−	−	PROPN
ejpam-5581	480	23	h10	h10	NOUN
ejpam-5581	480	24	)	)	PUNCT
ejpam-5581	481	1	+	+	CCONJ
ejpam-5581	481	2	15	15	NUM
ejpam-5581	481	3	(	(	PUNCT
ejpam-5581	481	4	dxp0	dxp0	PROPN
ejpam-5581	481	5	)	)	PUNCT
ejpam-5581	481	6	5	5	NUM
ejpam-5581	481	7	dxp1	dxp1	NOUN
ejpam-5581	481	8	(	(	PUNCT
ejpam-5581	481	9	y8	y8	PROPN
ejpam-5581	481	10	−	−	PROPN
ejpam-5581	481	11	h8	h8	PROPN
ejpam-5581	481	12	)	)	PUNCT
ejpam-5581	481	13	}	}	PUNCT
ejpam-5581	481	14	]	]	PUNCT
ejpam-5581	482	1	+	+	CCONJ
ejpam-5581	482	2	j	j	X
ejpam-5581	482	3	(	(	PUNCT
ejpam-5581	482	4	p	p	NOUN
ejpam-5581	482	5	)	)	PUNCT
ejpam-5581	482	6	1	1	NUM
ejpam-5581	482	7	105	105	NUM
ejpam-5581	482	8	g	g	NOUN
ejpam-5581	482	9	(	(	PUNCT
ejpam-5581	482	10	p	p	NOUN
ejpam-5581	482	11	)	)	PUNCT
ejpam-5581	482	12	5	5	NUM
ejpam-5581	482	13	[	[	PUNCT
ejpam-5581	482	14	42	42	NUM
ejpam-5581	482	15	g	g	NOUN
ejpam-5581	482	16	(	(	PUNCT
ejpam-5581	482	17	p	p	NOUN
ejpam-5581	482	18	)	)	PUNCT
ejpam-5581	482	19	1	1	NUM
ejpam-5581	482	20	(	(	PUNCT
ejpam-5581	482	21	dxp0	dxp0	PROPN
ejpam-5581	482	22	)	)	PUNCT
ejpam-5581	482	23	4	4	NUM
ejpam-5581	482	24	h51λ	h51λ	PROPN
ejpam-5581	483	1	+	+	NUM
ejpam-5581	483	2	35dxp0dxp1h	35dxp0dxp1h	NUM
ejpam-5581	483	3	3	3	NUM
ejpam-5581	483	4	1	1	NUM
ejpam-5581	483	5	+	+	CCONJ
ejpam-5581	483	6	g	g	PROPN
ejpam-5581	483	7	(	(	PUNCT
ejpam-5581	483	8	p	p	NOUN
ejpam-5581	483	9	)	)	PUNCT
ejpam-5581	483	10	3	3	NUM
ejpam-5581	483	11	{	{	PUNCT
ejpam-5581	483	12	20	20	NUM
ejpam-5581	483	13	g	g	NOUN
ejpam-5581	483	14	(	(	PUNCT
ejpam-5581	483	15	p	p	NOUN
ejpam-5581	483	16	)	)	PUNCT
ejpam-5581	483	17	1	1	NUM
ejpam-5581	483	18	(	(	PUNCT
ejpam-5581	483	19	dxp0	dxp0	PROPN
ejpam-5581	483	20	)	)	PUNCT
ejpam-5581	483	21	6	6	NUM
ejpam-5581	483	22	h71λ	h71λ	PROPN
ejpam-5581	483	23	+	+	NUM
ejpam-5581	483	24	28	28	NUM
ejpam-5581	483	25	(	(	PUNCT
ejpam-5581	483	26	dxp0	dxp0	PROPN
ejpam-5581	483	27	)	)	PUNCT
ejpam-5581	483	28	3	3	NUM
ejpam-5581	483	29	dxp1h	dxp1h	NOUN
ejpam-5581	483	30	5	5	NUM
ejpam-5581	483	31	1	1	NUM
ejpam-5581	483	32	}	}	PUNCT
ejpam-5581	483	33	−g	−g	NOUN
ejpam-5581	483	34	(	(	PUNCT
ejpam-5581	483	35	p	p	NOUN
ejpam-5581	483	36	)	)	PUNCT
ejpam-5581	483	37	4	4	NUM
ejpam-5581	483	38	{	{	SYM
ejpam-5581	483	39	2	2	NUM
ejpam-5581	483	40	g	g	NOUN
ejpam-5581	483	41	(	(	PUNCT
ejpam-5581	483	42	p	p	NOUN
ejpam-5581	483	43	)	)	PUNCT
ejpam-5581	483	44	1	1	NUM
ejpam-5581	483	45	(	(	PUNCT
ejpam-5581	483	46	dxp0	dxp0	PROPN
ejpam-5581	483	47	)	)	PUNCT
ejpam-5581	483	48	8	8	NUM
ejpam-5581	483	49	h41λ	h41λ	X
ejpam-5581	483	50	+	+	SYM
ejpam-5581	483	51	5	5	NUM
ejpam-5581	483	52	(	(	PUNCT
ejpam-5581	483	53	dxp0	dxp0	PROPN
ejpam-5581	483	54	)	)	PUNCT
ejpam-5581	483	55	5	5	NUM
ejpam-5581	483	56	dxp1h	dxp1h	NOUN
ejpam-5581	483	57	7	7	NUM
ejpam-5581	483	58	1	1	NUM
ejpam-5581	483	59	}	}	PUNCT
ejpam-5581	483	60	]	]	PUNCT
ejpam-5581	483	61	(	(	PUNCT
ejpam-5581	483	62	y	y	PROPN
ejpam-5581	483	63	−	−	PROPN
ejpam-5581	484	1	h)−	h)−	PROPN
ejpam-5581	484	2	j	j	PROPN
ejpam-5581	484	3	(	(	PUNCT
ejpam-5581	484	4	a	a	NOUN
ejpam-5581	484	5	)	)	PUNCT
ejpam-5581	484	6	1	1	NUM
ejpam-5581	484	7	105ζg	105ζg	NOUN
ejpam-5581	484	8	(	(	PUNCT
ejpam-5581	484	9	a	a	NOUN
ejpam-5581	484	10	)	)	PUNCT
ejpam-5581	484	11	5	5	NUM
ejpam-5581	484	12	[	[	PUNCT
ejpam-5581	484	13	42	42	NUM
ejpam-5581	484	14	g	g	NOUN
ejpam-5581	484	15	(	(	PUNCT
ejpam-5581	484	16	a	a	NOUN
ejpam-5581	484	17	)	)	PUNCT
ejpam-5581	484	18	1	1	NUM
ejpam-5581	484	19	(	(	PUNCT
ejpam-5581	484	20	dxp0	dxp0	PROPN
ejpam-5581	484	21	)	)	PUNCT
ejpam-5581	484	22	4	4	NUM
ejpam-5581	484	23	h51λ	h51λ	PROPN
ejpam-5581	485	1	+	+	NUM
ejpam-5581	485	2	70dxp0dxp1h	70dxp0dxp1h	NUM
ejpam-5581	485	3	3	3	NUM
ejpam-5581	485	4	1	1	NUM
ejpam-5581	485	5	+	+	CCONJ
ejpam-5581	485	6	3	3	NUM
ejpam-5581	485	7	g	g	NOUN
ejpam-5581	485	8	(	(	PUNCT
ejpam-5581	485	9	a	a	NOUN
ejpam-5581	485	10	)	)	PUNCT
ejpam-5581	485	11	3	3	NUM
ejpam-5581	485	12	{	{	PUNCT
ejpam-5581	485	13	20	20	NUM
ejpam-5581	485	14	g	g	NOUN
ejpam-5581	485	15	(	(	PUNCT
ejpam-5581	485	16	a	a	NOUN
ejpam-5581	485	17	)	)	PUNCT
ejpam-5581	485	18	1	1	NUM
ejpam-5581	485	19	(	(	PUNCT
ejpam-5581	485	20	dxp0	dxp0	PROPN
ejpam-5581	485	21	)	)	PUNCT
ejpam-5581	485	22	6	6	NUM
ejpam-5581	485	23	h71λ	h71λ	PROPN
ejpam-5581	485	24	+	+	NUM
ejpam-5581	485	25	28	28	NUM
ejpam-5581	485	26	(	(	PUNCT
ejpam-5581	485	27	dxp0	dxp0	PROPN
ejpam-5581	485	28	)	)	PUNCT
ejpam-5581	485	29	3	3	NUM
ejpam-5581	485	30	dxp1h	dxp1h	PROPN
ejpam-5581	485	31	6	6	NUM
ejpam-5581	485	32	1	1	NUM
ejpam-5581	485	33	}	}	PUNCT
ejpam-5581	485	34	−	−	PROPN
ejpam-5581	485	35	35	35	NUM
ejpam-5581	485	36	g	g	NOUN
ejpam-5581	485	37	(	(	PUNCT
ejpam-5581	485	38	a	a	NOUN
ejpam-5581	485	39	)	)	PUNCT
ejpam-5581	485	40	4	4	NUM
ejpam-5581	485	41	{	{	SYM
ejpam-5581	485	42	2	2	NUM
ejpam-5581	485	43	g	g	NOUN
ejpam-5581	485	44	(	(	PUNCT
ejpam-5581	485	45	a	a	NOUN
ejpam-5581	485	46	)	)	PUNCT
ejpam-5581	485	47	1	1	NUM
ejpam-5581	485	48	(	(	PUNCT
ejpam-5581	485	49	dxp0	dxp0	PROPN
ejpam-5581	485	50	)	)	PUNCT
ejpam-5581	485	51	8	8	NUM
ejpam-5581	485	52	h41λ	h41λ	X
ejpam-5581	485	53	+	+	NOUN
ejpam-5581	485	54	3	3	NUM
ejpam-5581	485	55	(	(	PUNCT
ejpam-5581	485	56	dxp0	dxp0	PROPN
ejpam-5581	485	57	)	)	PUNCT
ejpam-5581	485	58	5	5	NUM
ejpam-5581	485	59	dxp1h	dxp1h	NOUN
ejpam-5581	485	60	7	7	NUM
ejpam-5581	485	61	1	1	NUM
ejpam-5581	485	62	}	}	PUNCT
ejpam-5581	485	63	]	]	PUNCT
ejpam-5581	485	64	(	(	PUNCT
ejpam-5581	485	65	y	y	PROPN
ejpam-5581	485	66	−	−	PROPN
ejpam-5581	485	67	h	h	NOUN
ejpam-5581	485	68	)	)	PUNCT
ejpam-5581	485	69	.	.	PUNCT
ejpam-5581	486	1	(	(	PUNCT
ejpam-5581	486	2	114	114	X
ejpam-5581	486	3	)	)	PUNCT
ejpam-5581	486	4	putting	put	VERB
ejpam-5581	486	5	the	the	DET
ejpam-5581	486	6	concentration	concentration	NOUN
ejpam-5581	486	7	components	component	NOUN
ejpam-5581	486	8	from	from	ADP
ejpam-5581	486	9	eqs	eqs	PROPN
ejpam-5581	486	10	.	.	PUNCT
ejpam-5581	487	1	(	(	PUNCT
ejpam-5581	487	2	109)-(111	109)-(111	NUM
ejpam-5581	487	3	)	)	PUNCT
ejpam-5581	487	4	into	into	ADP
ejpam-5581	487	5	the	the	DET
ejpam-5581	487	6	eq	eq	NOUN
ejpam-5581	487	7	.	.	PUNCT
ejpam-5581	488	1	(	(	PUNCT
ejpam-5581	488	2	59	59	NUM
ejpam-5581	488	3	)	)	PUNCT
ejpam-5581	488	4	for	for	ADP
ejpam-5581	488	5	k	k	PROPN
ejpam-5581	488	6	=	=	PUNCT
ejpam-5581	488	7	a	a	PROPN
ejpam-5581	488	8	and	and	CCONJ
ejpam-5581	488	9	from	from	ADP
ejpam-5581	488	10	eqs	eqs	PROPN
ejpam-5581	488	11	.	.	PUNCT
ejpam-5581	489	1	(	(	PUNCT
ejpam-5581	489	2	112)-(114	112)-(114	NUM
ejpam-5581	489	3	)	)	PUNCT
ejpam-5581	489	4	into	into	ADP
ejpam-5581	489	5	the	the	DET
ejpam-5581	489	6	(	(	PUNCT
ejpam-5581	489	7	59	59	NUM
ejpam-5581	489	8	)	)	PUNCT
ejpam-5581	489	9	for	for	ADP
ejpam-5581	489	10	k	k	PROPN
ejpam-5581	489	11	=	=	SYM
ejpam-5581	489	12	p	p	PROPN
ejpam-5581	489	13	,	,	PUNCT
ejpam-5581	489	14	one	one	NOUN
ejpam-5581	489	15	gets	get	VERB
ejpam-5581	489	16	the	the	DET
ejpam-5581	489	17	final	final	ADJ
ejpam-5581	489	18	expression	expression	NOUN
ejpam-5581	489	19	for	for	ADP
ejpam-5581	489	20	concentration	concentration	NOUN
ejpam-5581	489	21	.	.	PUNCT
ejpam-5581	490	1	remark	remark	NOUN
ejpam-5581	490	2	:	:	PUNCT
ejpam-5581	490	3	by	by	ADP
ejpam-5581	490	4	putting	put	VERB
ejpam-5581	490	5	the	the	DET
ejpam-5581	490	6	we	we	PRON
ejpam-5581	490	7	=	=	SYM
ejpam-5581	490	8	0	0	PUNCT
ejpam-5581	490	9	into	into	ADP
ejpam-5581	490	10	eqs	eqs	PROPN
ejpam-5581	490	11	.	.	PUNCT
ejpam-5581	490	12	(	(	PUNCT
ejpam-5581	490	13	88)-(114	88)-(114	NUM
ejpam-5581	490	14	)	)	PUNCT
ejpam-5581	491	1	,	,	PUNCT
ejpam-5581	491	2	we	we	PRON
ejpam-5581	491	3	can	can	AUX
ejpam-5581	491	4	obtain	obtain	VERB
ejpam-5581	491	5	the	the	DET
ejpam-5581	491	6	expressions	expression	NOUN
ejpam-5581	491	7	for	for	ADP
ejpam-5581	491	8	newtonian	newtonian	ADJ
ejpam-5581	491	9	mucus	mucus	NOUN
ejpam-5581	491	10	velocity	velocity	NOUN
ejpam-5581	491	11	components	component	NOUN
ejpam-5581	491	12	,	,	PUNCT
ejpam-5581	491	13	pressure	pressure	NOUN
ejpam-5581	491	14	gradient	gradient	NOUN
ejpam-5581	491	15	,	,	PUNCT
ejpam-5581	491	16	temperatures	temperature	NOUN
ejpam-5581	491	17	,	,	PUNCT
ejpam-5581	491	18	and	and	CCONJ
ejpam-5581	491	19	concentrations	concentration	NOUN
ejpam-5581	491	20	.	.	PUNCT
ejpam-5581	492	1	4	4	X
ejpam-5581	492	2	.	.	NOUN
ejpam-5581	492	3	results	result	NOUN
ejpam-5581	492	4	and	and	CCONJ
ejpam-5581	492	5	discussion	discussion	NOUN
ejpam-5581	492	6	a	a	DET
ejpam-5581	492	7	mathematical	mathematical	ADJ
ejpam-5581	492	8	model	model	NOUN
ejpam-5581	492	9	incorporating	incorporate	VERB
ejpam-5581	492	10	a	a	DET
ejpam-5581	492	11	finite	finite	NOUN
ejpam-5581	492	12	narrow	narrow	ADJ
ejpam-5581	492	13	two	two	NUM
ejpam-5581	492	14	-	-	PUNCT
ejpam-5581	492	15	dimensional	dimensional	ADJ
ejpam-5581	492	16	channel	channel	NOUN
ejpam-5581	492	17	comprising	comprise	VERB
ejpam-5581	492	18	two	two	NUM
ejpam-5581	492	19	layers	layer	NOUN
ejpam-5581	492	20	(	(	PUNCT
ejpam-5581	492	21	acl	acl	PROPN
ejpam-5581	492	22	and	and	CCONJ
ejpam-5581	492	23	pcl	pcl	PROPN
ejpam-5581	492	24	)	)	PUNCT
ejpam-5581	492	25	,	,	PUNCT
ejpam-5581	492	26	where	where	SCONJ
ejpam-5581	492	27	the	the	DET
ejpam-5581	492	28	johnson	johnson	PROPN
ejpam-5581	492	29	-	-	PUNCT
ejpam-5581	492	30	segalman	segalman	ADJ
ejpam-5581	492	31	fluid	fluid	NOUN
ejpam-5581	492	32	model	model	NOUN
ejpam-5581	492	33	characterizes	characterize	VERB
ejpam-5581	492	34	the	the	DET
ejpam-5581	492	35	mucus	mucus	NOUN
ejpam-5581	492	36	rheological	rheological	ADJ
ejpam-5581	492	37	properties	property	NOUN
ejpam-5581	492	38	secreted	secrete	VERB
ejpam-5581	492	39	within	within	ADP
ejpam-5581	492	40	the	the	DET
ejpam-5581	492	41	airways	airway	NOUN
ejpam-5581	492	42	,	,	PUNCT
ejpam-5581	492	43	was	be	AUX
ejpam-5581	492	44	considered	consider	VERB
ejpam-5581	492	45	[	[	X
ejpam-5581	492	46	5	5	NUM
ejpam-5581	492	47	]	]	PUNCT
ejpam-5581	492	48	.	.	PUNCT
ejpam-5581	493	1	the	the	DET
ejpam-5581	493	2	adm	adm	PROPN
ejpam-5581	493	3	and	and	CCONJ
ejpam-5581	493	4	the	the	DET
ejpam-5581	493	5	theory	theory	NOUN
ejpam-5581	493	6	of	of	ADP
ejpam-5581	493	7	lubrication	lubrication	NOUN
ejpam-5581	493	8	approximation	approximation	NOUN
ejpam-5581	493	9	have	have	AUX
ejpam-5581	493	10	been	be	AUX
ejpam-5581	493	11	employed	employ	VERB
ejpam-5581	493	12	to	to	PART
ejpam-5581	493	13	obtain	obtain	VERB
ejpam-5581	493	14	the	the	DET
ejpam-5581	493	15	series	series	NOUN
ejpam-5581	493	16	form	form	VERB
ejpam-5581	493	17	up	up	ADP
ejpam-5581	493	18	to	to	ADP
ejpam-5581	493	19	the	the	DET
ejpam-5581	493	20	second	second	ADJ
ejpam-5581	493	21	-	-	PUNCT
ejpam-5581	493	22	order	order	NOUN
ejpam-5581	493	23	solution	solution	NOUN
ejpam-5581	493	24	of	of	ADP
ejpam-5581	493	25	the	the	DET
ejpam-5581	493	26	resultant	resultant	NOUN
ejpam-5581	493	27	simplified	simplify	VERB
ejpam-5581	493	28	set	set	NOUN
ejpam-5581	493	29	of	of	ADP
ejpam-5581	493	30	non	non	ADJ
ejpam-5581	493	31	-	-	ADJ
ejpam-5581	493	32	linear	linear	ADJ
ejpam-5581	493	33	pdes	pde	NOUN
ejpam-5581	493	34	.	.	PUNCT
ejpam-5581	494	1	the	the	DET
ejpam-5581	494	2	primary	primary	ADJ
ejpam-5581	494	3	focus	focus	NOUN
ejpam-5581	494	4	of	of	ADP
ejpam-5581	494	5	this	this	DET
ejpam-5581	494	6	section	section	NOUN
ejpam-5581	494	7	is	be	AUX
ejpam-5581	494	8	to	to	PART
ejpam-5581	494	9	provide	provide	VERB
ejpam-5581	494	10	an	an	DET
ejpam-5581	494	11	estimation	estimation	NOUN
ejpam-5581	494	12	of	of	ADP
ejpam-5581	494	13	the	the	DET
ejpam-5581	494	14	quantitative	quantitative	ADJ
ejpam-5581	494	15	variation	variation	NOUN
ejpam-5581	494	16	impact	impact	NOUN
ejpam-5581	494	17	of	of	ADP
ejpam-5581	494	18	slip	slip	NOUN
ejpam-5581	494	19	parameters	parameter	NOUN
ejpam-5581	494	20	(	(	PUNCT
ejpam-5581	494	21	ea	ea	NUM
ejpam-5581	494	22	and	and	CCONJ
ejpam-5581	494	23	ep	ep	PROPN
ejpam-5581	494	24	)	)	PUNCT
ejpam-5581	494	25	,	,	PUNCT
ejpam-5581	494	26	weissenberg	weissenberg	NOUN
ejpam-5581	494	27	numbers	number	NOUN
ejpam-5581	494	28	(	(	PUNCT
ejpam-5581	494	29	(	(	PUNCT
ejpam-5581	494	30	we)(a	we)(a	PROPN
ejpam-5581	494	31	)	)	PUNCT
ejpam-5581	494	32	and	and	CCONJ
ejpam-5581	494	33	(	(	PUNCT
ejpam-5581	494	34	we)(p	we)(p	PROPN
ejpam-5581	494	35	)	)	PUNCT
ejpam-5581	494	36	)	)	PUNCT
ejpam-5581	494	37	,	,	PUNCT
ejpam-5581	494	38	brinkmann	brinkmann	PROPN
ejpam-5581	494	39	numbers	number	NOUN
ejpam-5581	494	40	(	(	PUNCT
ejpam-5581	494	41	br(a	br(a	X
ejpam-5581	494	42	)	)	PUNCT
ejpam-5581	494	43	and	and	CCONJ
ejpam-5581	494	44	br(p	br(p	PUNCT
ejpam-5581	494	45	)	)	PUNCT
ejpam-5581	494	46	)	)	PUNCT
ejpam-5581	494	47	,	,	PUNCT
ejpam-5581	494	48	pressure	pressure	NOUN
ejpam-5581	494	49	gradient	gradient	NOUN
ejpam-5581	494	50	at	at	ADP
ejpam-5581	494	51	the	the	DET
ejpam-5581	494	52	airway	airway	NOUN
ejpam-5581	494	53	channel	channel	NOUN
ejpam-5581	494	54	entrance	entrance	PROPN
ejpam-5581	494	55	ξ	ξ	PROPN
ejpam-5581	494	56	,	,	PUNCT
ejpam-5581	494	57	conductivity	conductivity	NOUN
ejpam-5581	494	58	ratio	ratio	NOUN
ejpam-5581	494	59	ζ	ζ	NOUN
ejpam-5581	494	60	,	,	PUNCT
ejpam-5581	494	61	mass	mass	ADJ
ejpam-5581	494	62	diffusivity	diffusivity	NOUN
ejpam-5581	494	63	ratio	ratio	NOUN
ejpam-5581	494	64	π	π	PROPN
ejpam-5581	494	65	,	,	PUNCT
ejpam-5581	494	66	schmidt	schmidt	ADJ
ejpam-5581	494	67	number	number	NOUN
ejpam-5581	494	68	sh	sh	PROPN
ejpam-5581	494	69	,	,	PUNCT
ejpam-5581	494	70	and	and	CCONJ
ejpam-5581	494	71	soret	soret	VERB
ejpam-5581	494	72	number	number	PROPN
ejpam-5581	494	73	st	st	PROPN
ejpam-5581	494	74	involved	involve	VERB
ejpam-5581	494	75	in	in	ADP
ejpam-5581	494	76	the	the	DET
ejpam-5581	494	77	present	present	ADJ
ejpam-5581	494	78	analysis	analysis	NOUN
ejpam-5581	494	79	.	.	PUNCT
ejpam-5581	495	1	graphs	graph	NOUN
ejpam-5581	495	2	are	be	AUX
ejpam-5581	495	3	displayed	display	VERB
ejpam-5581	495	4	and	and	CCONJ
ejpam-5581	495	5	discussion	discussion	NOUN
ejpam-5581	495	6	is	be	AUX
ejpam-5581	495	7	made	make	VERB
ejpam-5581	495	8	to	to	PART
ejpam-5581	495	9	seek	seek	VERB
ejpam-5581	495	10	the	the	DET
ejpam-5581	495	11	impacts	impact	NOUN
ejpam-5581	495	12	of	of	ADP
ejpam-5581	495	13	aforementioned	aforementioned	ADJ
ejpam-5581	495	14	involved	involved	ADJ
ejpam-5581	495	15	parameters	parameter	NOUN
ejpam-5581	495	16	on	on	ADP
ejpam-5581	495	17	the	the	DET
ejpam-5581	495	18	velocity	velocity	NOUN
ejpam-5581	495	19	(	(	PUNCT
ejpam-5581	495	20	u	u	NOUN
ejpam-5581	495	21	versus	versus	ADP
ejpam-5581	495	22	y	y	PROPN
ejpam-5581	495	23	plots	plot	NOUN
ejpam-5581	495	24	)	)	PUNCT
ejpam-5581	495	25	,	,	PUNCT
ejpam-5581	495	26	temperature	temperature	NOUN
ejpam-5581	495	27	(	(	PUNCT
ejpam-5581	495	28	t	t	PROPN
ejpam-5581	495	29	versus	versus	ADP
ejpam-5581	495	30	y	y	PROPN
ejpam-5581	495	31	plots	plot	NOUN
ejpam-5581	495	32	)	)	PUNCT
ejpam-5581	495	33	and	and	CCONJ
ejpam-5581	495	34	concentration	concentration	NOUN
ejpam-5581	495	35	(	(	PUNCT
ejpam-5581	495	36	c	c	NOUN
ejpam-5581	495	37	versus	versus	ADP
ejpam-5581	495	38	y	y	PROPN
ejpam-5581	495	39	plots	plot	NOUN
ejpam-5581	495	40	)	)	PUNCT
ejpam-5581	495	41	(	(	PUNCT
ejpam-5581	495	42	see	see	VERB
ejpam-5581	495	43	figs	fig	NOUN
ejpam-5581	495	44	.	.	PUNCT
ejpam-5581	496	1	2	2	NUM
ejpam-5581	496	2	-	-	SYM
ejpam-5581	496	3	9	9	NUM
ejpam-5581	496	4	)	)	PUNCT
ejpam-5581	496	5	.	.	PUNCT
ejpam-5581	497	1	variation	variation	NOUN
ejpam-5581	497	2	impact	impact	NOUN
ejpam-5581	497	3	of	of	ADP
ejpam-5581	497	4	high	high	ADJ
ejpam-5581	497	5	weissenberg	weissenberg	NOUN
ejpam-5581	497	6	numbers	number	NOUN
ejpam-5581	497	7	(	(	PUNCT
ejpam-5581	497	8	(	(	PUNCT
ejpam-5581	497	9	we)(a	we)(a	PROPN
ejpam-5581	497	10	)	)	PUNCT
ejpam-5581	497	11	and	and	CCONJ
ejpam-5581	497	12	(	(	PUNCT
ejpam-5581	497	13	we)(p	we)(p	X
ejpam-5581	497	14	)	)	PUNCT
ejpam-5581	497	15	)	)	PUNCT
ejpam-5581	498	1	on	on	ADP
ejpam-5581	498	2	velocity	velocity	NOUN
ejpam-5581	498	3	is	be	AUX
ejpam-5581	498	4	demonstrated	demonstrate	VERB
ejpam-5581	498	5	and	and	CCONJ
ejpam-5581	498	6	analyzed	analyze	VERB
ejpam-5581	498	7	(	(	PUNCT
ejpam-5581	498	8	see	see	VERB
ejpam-5581	498	9	table	table	NOUN
ejpam-5581	498	10	1	1	NUM
ejpam-5581	498	11	and	and	CCONJ
ejpam-5581	498	12	table	table	NOUN
ejpam-5581	498	13	2	2	NUM
ejpam-5581	498	14	)	)	PUNCT
ejpam-5581	498	15	.	.	PUNCT
ejpam-5581	499	1	4.1	4.1	NUM
ejpam-5581	499	2	.	.	PUNCT
ejpam-5581	499	3	velocity	velocity	NOUN
ejpam-5581	499	4	we	we	PRON
ejpam-5581	499	5	constructed	construct	VERB
ejpam-5581	499	6	the	the	DET
ejpam-5581	499	7	graphs	graph	NOUN
ejpam-5581	499	8	shown	show	VERB
ejpam-5581	499	9	in	in	ADP
ejpam-5581	499	10	figs	fig	NOUN
ejpam-5581	499	11	.	.	PUNCT
ejpam-5581	500	1	2	2	NUM
ejpam-5581	500	2	and	and	CCONJ
ejpam-5581	500	3	3	3	NUM
ejpam-5581	501	1	to	to	PART
ejpam-5581	501	2	examine	examine	VERB
ejpam-5581	501	3	the	the	DET
ejpam-5581	501	4	effects	effect	NOUN
ejpam-5581	501	5	of	of	ADP
ejpam-5581	501	6	variation	variation	NOUN
ejpam-5581	501	7	on	on	ADP
ejpam-5581	501	8	ea	ea	PROPN
ejpam-5581	501	9	,	,	PUNCT
ejpam-5581	501	10	ep	ep	PROPN
ejpam-5581	501	11	,	,	PUNCT
ejpam-5581	501	12	ξ	ξ	PROPN
ejpam-5581	501	13	,	,	PUNCT
ejpam-5581	501	14	(	(	PUNCT
ejpam-5581	501	15	we)(a	we)(a	PROPN
ejpam-5581	501	16	)	)	PUNCT
ejpam-5581	501	17	,	,	PUNCT
ejpam-5581	501	18	and	and	CCONJ
ejpam-5581	501	19	(	(	PUNCT
ejpam-5581	501	20	we)(p	we)(p	X
ejpam-5581	501	21	)	)	PUNCT
ejpam-5581	501	22	on	on	ADP
ejpam-5581	501	23	mucociliary	mucociliary	ADJ
ejpam-5581	501	24	velocity	velocity	NOUN
ejpam-5581	502	1	.	.	PUNCT
ejpam-5581	503	1	these	these	DET
ejpam-5581	503	2	graphs	graph	NOUN
ejpam-5581	503	3	show	show	VERB
ejpam-5581	503	4	plots	plot	NOUN
ejpam-5581	503	5	of	of	ADP
ejpam-5581	503	6	a.	a.	NOUN
ejpam-5581	503	7	alaidrous	alaidrous	PROPN
ejpam-5581	503	8	,	,	PUNCT
ejpam-5581	503	9	h.	h.	PROPN
ejpam-5581	503	10	ashraf	ashraf	PROPN
ejpam-5581	503	11	/	/	SYM
ejpam-5581	503	12	eur	eur	PROPN
ejpam-5581	503	13	.	.	PUNCT
ejpam-5581	504	1	j.	j.	PROPN
ejpam-5581	504	2	pure	pure	PROPN
ejpam-5581	504	3	appl	appl	PROPN
ejpam-5581	504	4	.	.	PROPN
ejpam-5581	504	5	math	math	PROPN
ejpam-5581	504	6	,	,	PUNCT
ejpam-5581	504	7	18	18	NUM
ejpam-5581	504	8	(	(	PUNCT
ejpam-5581	504	9	1	1	NUM
ejpam-5581	504	10	)	)	PUNCT
ejpam-5581	504	11	(	(	PUNCT
ejpam-5581	504	12	2025	2025	NUM
ejpam-5581	504	13	)	)	PUNCT
ejpam-5581	504	14	,	,	PUNCT
ejpam-5581	504	15	5581	5581	NUM
ejpam-5581	504	16	19	19	NUM
ejpam-5581	504	17	of	of	ADP
ejpam-5581	504	18	30	30	NUM
ejpam-5581	504	19	velocity	velocity	NOUN
ejpam-5581	504	20	against	against	ADP
ejpam-5581	504	21	normal	normal	ADJ
ejpam-5581	504	22	distance	distance	NOUN
ejpam-5581	504	23	.	.	PUNCT
ejpam-5581	505	1	the	the	DET
ejpam-5581	505	2	velocity	velocity	NOUN
ejpam-5581	505	3	rises	rise	VERB
ejpam-5581	505	4	as	as	SCONJ
ejpam-5581	505	5	normal	normal	ADJ
ejpam-5581	505	6	distance	distance	NOUN
ejpam-5581	505	7	does	do	VERB
ejpam-5581	505	8	.	.	PUNCT
ejpam-5581	506	1	the	the	DET
ejpam-5581	506	2	effects	effect	NOUN
ejpam-5581	506	3	of	of	ADP
ejpam-5581	506	4	ea	ea	NOUN
ejpam-5581	506	5	and	and	CCONJ
ejpam-5581	506	6	ep	ep	PROPN
ejpam-5581	506	7	on	on	ADP
ejpam-5581	506	8	the	the	DET
ejpam-5581	506	9	two	two	NUM
ejpam-5581	506	10	layers	layer	NOUN
ejpam-5581	506	11	’	'	PUNCT
ejpam-5581	506	12	velocities	velocity	NOUN
ejpam-5581	506	13	are	be	AUX
ejpam-5581	506	14	shown	show	VERB
ejpam-5581	506	15	in	in	ADP
ejpam-5581	506	16	figs	fig	NOUN
ejpam-5581	506	17	.	.	PUNCT
ejpam-5581	507	1	2(a	2(a	NUM
ejpam-5581	507	2	)	)	PUNCT
ejpam-5581	508	1	and	and	CCONJ
ejpam-5581	508	2	(	(	PUNCT
ejpam-5581	508	3	b	b	NOUN
ejpam-5581	508	4	)	)	PUNCT
ejpam-5581	508	5	.	.	PUNCT
ejpam-5581	509	1	the	the	DET
ejpam-5581	509	2	velocity	velocity	NOUN
ejpam-5581	509	3	and	and	CCONJ
ejpam-5581	509	4	both	both	DET
ejpam-5581	509	5	ea	ea	NOUN
ejpam-5581	509	6	and	and	CCONJ
ejpam-5581	509	7	ep	ep	PROPN
ejpam-5581	509	8	have	have	VERB
ejpam-5581	509	9	a	a	DET
ejpam-5581	509	10	direct	direct	ADJ
ejpam-5581	509	11	relationship	relationship	NOUN
ejpam-5581	509	12	.	.	PUNCT
ejpam-5581	510	1	in	in	ADP
ejpam-5581	510	2	other	other	ADJ
ejpam-5581	510	3	words	word	NOUN
ejpam-5581	510	4	,	,	PUNCT
ejpam-5581	510	5	a	a	DET
ejpam-5581	510	6	rise	rise	NOUN
ejpam-5581	510	7	in	in	ADP
ejpam-5581	510	8	ea	ea	NOUN
ejpam-5581	510	9	and	and	CCONJ
ejpam-5581	510	10	ep	ep	PROPN
ejpam-5581	510	11	causes	cause	VERB
ejpam-5581	510	12	the	the	DET
ejpam-5581	510	13	acl	acl	PROPN
ejpam-5581	510	14	and	and	CCONJ
ejpam-5581	510	15	pcl	pcl	PROPN
ejpam-5581	510	16	to	to	PART
ejpam-5581	510	17	undergo	undergo	VERB
ejpam-5581	510	18	a	a	DET
ejpam-5581	510	19	velocity	velocity	NOUN
ejpam-5581	510	20	increase	increase	NOUN
ejpam-5581	510	21	.	.	PUNCT
ejpam-5581	511	1	(	(	PUNCT
ejpam-5581	511	2	we)(a	we)(a	PROPN
ejpam-5581	511	3	)	)	PUNCT
ejpam-5581	511	4	has	have	VERB
ejpam-5581	511	5	very	very	ADV
ejpam-5581	511	6	little	little	ADJ
ejpam-5581	511	7	influence	influence	NOUN
ejpam-5581	511	8	on	on	ADP
ejpam-5581	511	9	velocity	velocity	NOUN
ejpam-5581	511	10	,	,	PUNCT
ejpam-5581	511	11	whereas	whereas	SCONJ
ejpam-5581	511	12	(	(	PUNCT
ejpam-5581	511	13	we)(p	we)(p	X
ejpam-5581	511	14	)	)	PUNCT
ejpam-5581	511	15	has	have	VERB
ejpam-5581	511	16	a	a	DET
ejpam-5581	511	17	significant	significant	ADJ
ejpam-5581	511	18	effect	effect	NOUN
ejpam-5581	511	19	.	.	PUNCT
ejpam-5581	512	1	for	for	ADP
ejpam-5581	512	2	both	both	DET
ejpam-5581	512	3	layers	layer	NOUN
ejpam-5581	512	4	,	,	PUNCT
ejpam-5581	512	5	prolonged	prolonged	ADJ
ejpam-5581	512	6	relaxation	relaxation	NOUN
ejpam-5581	512	7	times	time	NOUN
ejpam-5581	512	8	are	be	AUX
ejpam-5581	512	9	correlated	correlate	VERB
ejpam-5581	512	10	with	with	ADP
ejpam-5581	512	11	an	an	DET
ejpam-5581	512	12	increase	increase	NOUN
ejpam-5581	512	13	in	in	ADP
ejpam-5581	512	14	(	(	PUNCT
ejpam-5581	512	15	we)(a	we)(a	PROPN
ejpam-5581	512	16	)	)	PUNCT
ejpam-5581	512	17	and	and	CCONJ
ejpam-5581	512	18	(	(	PUNCT
ejpam-5581	512	19	we)(p	we)(p	X
ejpam-5581	512	20	)	)	PUNCT
ejpam-5581	512	21	as	as	SCONJ
ejpam-5581	512	22	the	the	DET
ejpam-5581	512	23	weissenberg	weissenberg	NOUN
ejpam-5581	512	24	number	number	NOUN
ejpam-5581	512	25	is	be	AUX
ejpam-5581	512	26	directly	directly	ADV
ejpam-5581	512	27	proportional	proportional	ADJ
ejpam-5581	512	28	to	to	ADP
ejpam-5581	512	29	the	the	DET
ejpam-5581	512	30	fluid	fluid	NOUN
ejpam-5581	512	31	’s	’s	PART
ejpam-5581	512	32	relaxation	relaxation	NOUN
ejpam-5581	512	33	time	time	NOUN
ejpam-5581	512	34	and	and	CCONJ
ejpam-5581	512	35	inversely	inversely	ADV
ejpam-5581	512	36	proportional	proportional	ADJ
ejpam-5581	512	37	to	to	ADP
ejpam-5581	512	38	the	the	DET
ejpam-5581	512	39	observation	observation	NOUN
ejpam-5581	512	40	time	time	NOUN
ejpam-5581	512	41	.	.	PUNCT
ejpam-5581	513	1	the	the	DET
ejpam-5581	513	2	fluid	fluid	NOUN
ejpam-5581	513	3	behaves	behave	VERB
ejpam-5581	513	4	viscoelastically	viscoelastically	ADV
ejpam-5581	513	5	,	,	PUNCT
ejpam-5581	513	6	with	with	ADP
ejpam-5581	513	7	the	the	DET
ejpam-5581	513	8	elastic	elastic	ADJ
ejpam-5581	513	9	effects	effect	NOUN
ejpam-5581	513	10	becoming	become	VERB
ejpam-5581	513	11	more	more	ADV
ejpam-5581	513	12	apparent	apparent	ADJ
ejpam-5581	513	13	as	as	ADP
ejpam-5581	513	14	the	the	DET
ejpam-5581	513	15	relaxation	relaxation	NOUN
ejpam-5581	513	16	time	time	NOUN
ejpam-5581	513	17	increases	increase	NOUN
ejpam-5581	513	18	.	.	PUNCT
ejpam-5581	514	1	furthermore	furthermore	ADV
ejpam-5581	514	2	,	,	PUNCT
ejpam-5581	514	3	we	we	PRON
ejpam-5581	514	4	can	can	AUX
ejpam-5581	514	5	state	state	VERB
ejpam-5581	514	6	that	that	SCONJ
ejpam-5581	514	7	both	both	DET
ejpam-5581	514	8	layers	layer	NOUN
ejpam-5581	514	9	’	'	PUNCT
ejpam-5581	514	10	velocities	velocity	NOUN
ejpam-5581	514	11	rise	rise	VERB
ejpam-5581	514	12	with	with	ADP
ejpam-5581	514	13	increased	increase	VERB
ejpam-5581	514	14	acl	acl	PROPN
ejpam-5581	514	15	and	and	CCONJ
ejpam-5581	514	16	pcl	pcl	PROPN
ejpam-5581	514	17	relaxation	relaxation	PROPN
ejpam-5581	514	18	times	times	PROPN
ejpam-5581	514	19	.	.	PUNCT
ejpam-5581	515	1	the	the	DET
ejpam-5581	515	2	variation	variation	NOUN
ejpam-5581	515	3	impacts	impact	NOUN
ejpam-5581	515	4	of	of	ADP
ejpam-5581	515	5	ξ	ξ	PROPN
ejpam-5581	515	6	on	on	ADP
ejpam-5581	515	7	velocity	velocity	NOUN
ejpam-5581	515	8	are	be	AUX
ejpam-5581	515	9	presented	present	VERB
ejpam-5581	515	10	in	in	ADP
ejpam-5581	515	11	fig	fig	NOUN
ejpam-5581	515	12	.	.	PUNCT
ejpam-5581	516	1	3(a	3(a	NUM
ejpam-5581	516	2	)	)	PUNCT
ejpam-5581	516	3	.	.	PUNCT
ejpam-5581	517	1	these	these	DET
ejpam-5581	517	2	graphs	graph	NOUN
ejpam-5581	517	3	show	show	VERB
ejpam-5581	517	4	that	that	SCONJ
ejpam-5581	517	5	there	there	PRON
ejpam-5581	517	6	is	be	VERB
ejpam-5581	517	7	rise	rise	NOUN
ejpam-5581	517	8	in	in	ADP
ejpam-5581	517	9	the	the	DET
ejpam-5581	517	10	velocity	velocity	NOUN
ejpam-5581	517	11	as	as	ADP
ejpam-5581	517	12	the	the	DET
ejpam-5581	517	13	values	value	NOUN
ejpam-5581	517	14	of	of	ADP
ejpam-5581	517	15	ξ	ξ	PROPN
ejpam-5581	517	16	increment	increment	NOUN
ejpam-5581	517	17	.	.	PUNCT
ejpam-5581	518	1	the	the	DET
ejpam-5581	518	2	influence	influence	NOUN
ejpam-5581	518	3	of	of	ADP
ejpam-5581	518	4	ξ	ξ	PROPN
ejpam-5581	518	5	on	on	ADP
ejpam-5581	518	6	velocity	velocity	NOUN
ejpam-5581	518	7	is	be	AUX
ejpam-5581	518	8	apparent	apparent	ADJ
ejpam-5581	518	9	.	.	PUNCT
ejpam-5581	519	1	that	that	PRON
ejpam-5581	519	2	said	say	VERB
ejpam-5581	519	3	,	,	PUNCT
ejpam-5581	519	4	we	we	PRON
ejpam-5581	519	5	add	add	VERB
ejpam-5581	519	6	that	that	SCONJ
ejpam-5581	519	7	the	the	DET
ejpam-5581	519	8	both	both	DET
ejpam-5581	519	9	layers	layer	NOUN
ejpam-5581	519	10	velocity	velocity	NOUN
ejpam-5581	519	11	tend	tend	VERB
ejpam-5581	519	12	to	to	PART
ejpam-5581	519	13	increase	increase	VERB
ejpam-5581	519	14	with	with	ADP
ejpam-5581	519	15	increasing	increase	VERB
ejpam-5581	519	16	pressure	pressure	NOUN
ejpam-5581	519	17	gradient	gradient	NOUN
ejpam-5581	519	18	at	at	ADP
ejpam-5581	519	19	the	the	DET
ejpam-5581	519	20	airway	airway	NOUN
ejpam-5581	519	21	entrance	entrance	NOUN
ejpam-5581	519	22	.	.	PUNCT
ejpam-5581	520	1	this	this	DET
ejpam-5581	520	2	figure	figure	NOUN
ejpam-5581	520	3	shows	show	VERB
ejpam-5581	520	4	that	that	SCONJ
ejpam-5581	520	5	both	both	DET
ejpam-5581	520	6	layers	layer	NOUN
ejpam-5581	520	7	’	'	PUNCT
ejpam-5581	520	8	velocities	velocity	NOUN
ejpam-5581	520	9	increase	increase	VERB
ejpam-5581	520	10	as	as	SCONJ
ejpam-5581	520	11	ξ	ξ	PROPN
ejpam-5581	520	12	values	value	NOUN
ejpam-5581	520	13	do	do	VERB
ejpam-5581	520	14	.	.	PUNCT
ejpam-5581	521	1	when	when	SCONJ
ejpam-5581	521	2	there	there	PRON
ejpam-5581	521	3	is	be	VERB
ejpam-5581	521	4	a	a	DET
ejpam-5581	521	5	rise	rise	NOUN
ejpam-5581	521	6	in	in	ADP
ejpam-5581	521	7	the	the	DET
ejpam-5581	521	8	pressure	pressure	NOUN
ejpam-5581	521	9	gradient	gradient	NOUN
ejpam-5581	521	10	at	at	ADP
ejpam-5581	521	11	the	the	DET
ejpam-5581	521	12	entrance	entrance	NOUN
ejpam-5581	521	13	,	,	PUNCT
ejpam-5581	521	14	the	the	DET
ejpam-5581	521	15	fluid	fluid	NOUN
ejpam-5581	521	16	flows	flow	VERB
ejpam-5581	521	17	more	more	ADV
ejpam-5581	521	18	swiftly	swiftly	ADV
ejpam-5581	521	19	.	.	PUNCT
ejpam-5581	522	1	the	the	DET
ejpam-5581	522	2	johnson	johnson	PROPN
ejpam-5581	522	3	-	-	PUNCT
ejpam-5581	522	4	segalman	segalman	ADJ
ejpam-5581	522	5	and	and	CCONJ
ejpam-5581	522	6	newtonian	newtonian	ADJ
ejpam-5581	522	7	fluid	fluid	ADJ
ejpam-5581	522	8	velocity	velocity	NOUN
ejpam-5581	522	9	comparison	comparison	NOUN
ejpam-5581	522	10	is	be	AUX
ejpam-5581	522	11	shown	show	VERB
ejpam-5581	522	12	in	in	ADP
ejpam-5581	522	13	fig	fig	NOUN
ejpam-5581	522	14	.	.	PUNCT
ejpam-5581	523	1	3(b	3(b	NUM
ejpam-5581	523	2	)	)	PUNCT
ejpam-5581	523	3	.	.	PUNCT
ejpam-5581	524	1	we	we	PRON
ejpam-5581	524	2	demonstrated	demonstrate	VERB
ejpam-5581	524	3	that	that	SCONJ
ejpam-5581	524	4	when	when	SCONJ
ejpam-5581	524	5	mucus	mucus	NOUN
ejpam-5581	524	6	is	be	AUX
ejpam-5581	524	7	characterized	characterize	VERB
ejpam-5581	524	8	using	use	VERB
ejpam-5581	524	9	the	the	DET
ejpam-5581	524	10	johnson	johnson	PROPN
ejpam-5581	524	11	-	-	PUNCT
ejpam-5581	524	12	segalman	segalman	NOUN
ejpam-5581	524	13	fluid	fluid	NOUN
ejpam-5581	524	14	,	,	PUNCT
ejpam-5581	524	15	it	it	PRON
ejpam-5581	524	16	flows	flow	VERB
ejpam-5581	524	17	more	more	ADV
ejpam-5581	524	18	quickly	quickly	ADV
ejpam-5581	524	19	in	in	ADP
ejpam-5581	524	20	the	the	DET
ejpam-5581	524	21	acl	acl	PROPN
ejpam-5581	524	22	and	and	CCONJ
ejpam-5581	524	23	pcl	pcl	PROPN
ejpam-5581	524	24	than	than	ADP
ejpam-5581	524	25	the	the	DET
ejpam-5581	524	26	newtonian	newtonian	ADJ
ejpam-5581	524	27	fluid	fluid	NOUN
ejpam-5581	524	28	.	.	PUNCT
ejpam-5581	525	1	figure	figure	NOUN
ejpam-5581	525	2	2	2	NUM
ejpam-5581	525	3	:	:	PUNCT
ejpam-5581	525	4	the	the	DET
ejpam-5581	525	5	variation	variation	NOUN
ejpam-5581	525	6	impacts	impact	NOUN
ejpam-5581	525	7	of	of	ADP
ejpam-5581	525	8	(	(	PUNCT
ejpam-5581	525	9	a	a	PRON
ejpam-5581	525	10	)	)	PUNCT
ejpam-5581	525	11	ea	ea	NOUN
ejpam-5581	525	12	,	,	PUNCT
ejpam-5581	525	13	(	(	PUNCT
ejpam-5581	525	14	b	b	X
ejpam-5581	525	15	)	)	PUNCT
ejpam-5581	525	16	ep	ep	NOUN
ejpam-5581	525	17	,	,	PUNCT
ejpam-5581	525	18	(	(	PUNCT
ejpam-5581	525	19	c	c	X
ejpam-5581	525	20	)	)	PUNCT
ejpam-5581	525	21	(	(	PUNCT
ejpam-5581	525	22	we)(a	we)(a	PROPN
ejpam-5581	525	23	)	)	PUNCT
ejpam-5581	525	24	and	and	CCONJ
ejpam-5581	525	25	(	(	PUNCT
ejpam-5581	525	26	d	d	NOUN
ejpam-5581	525	27	)	)	PUNCT
ejpam-5581	525	28	(	(	PUNCT
ejpam-5581	525	29	we)(p	we)(p	X
ejpam-5581	525	30	)	)	PUNCT
ejpam-5581	525	31	on	on	ADP
ejpam-5581	525	32	velocity	velocity	NOUN
ejpam-5581	525	33	u.	u.	PROPN
ejpam-5581	525	34	a.	a.	PROPN
ejpam-5581	525	35	alaidrous	alaidrous	PROPN
ejpam-5581	525	36	,	,	PUNCT
ejpam-5581	525	37	h.	h.	PROPN
ejpam-5581	525	38	ashraf	ashraf	PROPN
ejpam-5581	525	39	/	/	SYM
ejpam-5581	525	40	eur	eur	PROPN
ejpam-5581	525	41	.	.	PUNCT
ejpam-5581	526	1	j.	j.	PROPN
ejpam-5581	526	2	pure	pure	PROPN
ejpam-5581	526	3	appl	appl	PROPN
ejpam-5581	526	4	.	.	PROPN
ejpam-5581	526	5	math	math	PROPN
ejpam-5581	526	6	,	,	PUNCT
ejpam-5581	526	7	18	18	NUM
ejpam-5581	526	8	(	(	PUNCT
ejpam-5581	526	9	1	1	NUM
ejpam-5581	526	10	)	)	PUNCT
ejpam-5581	526	11	(	(	PUNCT
ejpam-5581	526	12	2025	2025	NUM
ejpam-5581	526	13	)	)	PUNCT
ejpam-5581	526	14	,	,	PUNCT
ejpam-5581	526	15	5581	5581	NUM
ejpam-5581	526	16	20	20	NUM
ejpam-5581	526	17	of	of	ADP
ejpam-5581	526	18	30	30	NUM
ejpam-5581	526	19	figure	figure	NOUN
ejpam-5581	526	20	3	3	NUM
ejpam-5581	526	21	:	:	PUNCT
ejpam-5581	526	22	the	the	DET
ejpam-5581	526	23	variation	variation	NOUN
ejpam-5581	526	24	impacts	impact	NOUN
ejpam-5581	526	25	of	of	ADP
ejpam-5581	526	26	(	(	PUNCT
ejpam-5581	526	27	a	a	NOUN
ejpam-5581	526	28	)	)	PUNCT
ejpam-5581	526	29	ξ	ξ	PROPN
ejpam-5581	526	30	on	on	ADP
ejpam-5581	526	31	velocity	velocity	NOUN
ejpam-5581	526	32	u	u	NOUN
ejpam-5581	526	33	and	and	CCONJ
ejpam-5581	526	34	(	(	PUNCT
ejpam-5581	526	35	b	b	NOUN
ejpam-5581	526	36	)	)	PUNCT
ejpam-5581	526	37	comparison	comparison	NOUN
ejpam-5581	526	38	between	between	ADP
ejpam-5581	526	39	the	the	DET
ejpam-5581	526	40	johnson	johnson	PROPN
ejpam-5581	526	41	-	-	PUNCT
ejpam-5581	526	42	segalman	segalman	PROPN
ejpam-5581	526	43	fluid	fluid	ADJ
ejpam-5581	526	44	and	and	CCONJ
ejpam-5581	526	45	newtonian	newtonian	ADJ
ejpam-5581	526	46	fluid	fluid	NOUN
ejpam-5581	526	47	for	for	ADP
ejpam-5581	526	48	velocity	velocity	NOUN
ejpam-5581	526	49	u.	u.	NOUN
ejpam-5581	526	50	when	when	SCONJ
ejpam-5581	526	51	the	the	DET
ejpam-5581	526	52	weissenberg	weissenberg	NOUN
ejpam-5581	526	53	number	number	NOUN
ejpam-5581	526	54	of	of	ADP
ejpam-5581	526	55	a	a	DET
ejpam-5581	526	56	johnson	johnson	PROPN
ejpam-5581	526	57	-	-	PUNCT
ejpam-5581	526	58	segalman	segalman	ADJ
ejpam-5581	526	59	fluid	fluid	NOUN
ejpam-5581	526	60	is	be	AUX
ejpam-5581	526	61	low	low	ADJ
ejpam-5581	526	62	,	,	PUNCT
ejpam-5581	526	63	it	it	PRON
ejpam-5581	526	64	exhibits	exhibit	VERB
ejpam-5581	526	65	more	more	ADJ
ejpam-5581	526	66	viscous	viscous	ADJ
ejpam-5581	526	67	effects	effect	NOUN
ejpam-5581	526	68	,	,	PUNCT
ejpam-5581	526	69	and	and	CCONJ
ejpam-5581	526	70	when	when	SCONJ
ejpam-5581	526	71	it	it	PRON
ejpam-5581	526	72	is	be	AUX
ejpam-5581	526	73	high	high	ADJ
ejpam-5581	526	74	,	,	PUNCT
ejpam-5581	526	75	it	it	PRON
ejpam-5581	526	76	demonstrates	demonstrate	VERB
ejpam-5581	526	77	more	more	ADJ
ejpam-5581	526	78	elastic	elastic	ADJ
ejpam-5581	526	79	effects	effect	NOUN
ejpam-5581	526	80	.	.	PUNCT
ejpam-5581	527	1	a	a	DET
ejpam-5581	527	2	high	high	ADJ
ejpam-5581	527	3	weissenberg	weissenberg	NOUN
ejpam-5581	527	4	number	number	NOUN
ejpam-5581	527	5	causes	cause	VERB
ejpam-5581	527	6	the	the	DET
ejpam-5581	527	7	fluid	fluid	NOUN
ejpam-5581	527	8	to	to	PART
ejpam-5581	527	9	flow	flow	VERB
ejpam-5581	527	10	easily	easily	ADV
ejpam-5581	527	11	with	with	ADP
ejpam-5581	527	12	more	more	ADJ
ejpam-5581	527	13	velocity	velocity	NOUN
ejpam-5581	527	14	,	,	PUNCT
ejpam-5581	527	15	while	while	SCONJ
ejpam-5581	527	16	a	a	DET
ejpam-5581	527	17	low	low	ADJ
ejpam-5581	527	18	weissenberg	weissenberg	NOUN
ejpam-5581	527	19	number	number	NOUN
ejpam-5581	527	20	results	result	VERB
ejpam-5581	527	21	in	in	ADP
ejpam-5581	527	22	more	more	ADJ
ejpam-5581	527	23	viscous	viscous	ADJ
ejpam-5581	527	24	behavior	behavior	NOUN
ejpam-5581	527	25	.	.	PUNCT
ejpam-5581	528	1	this	this	DET
ejpam-5581	528	2	value	value	NOUN
ejpam-5581	528	3	offers	offer	VERB
ejpam-5581	528	4	a	a	DET
ejpam-5581	528	5	quantitative	quantitative	ADJ
ejpam-5581	528	6	analysis	analysis	NOUN
ejpam-5581	528	7	that	that	PRON
ejpam-5581	528	8	differentiates	differentiate	VERB
ejpam-5581	528	9	fluids	fluid	NOUN
ejpam-5581	528	10	that	that	PRON
ejpam-5581	528	11	are	be	AUX
ejpam-5581	528	12	viscous	viscous	ADJ
ejpam-5581	528	13	and	and	CCONJ
ejpam-5581	528	14	viscoelastic	viscoelastic	NOUN
ejpam-5581	528	15	.	.	PUNCT
ejpam-5581	529	1	the	the	DET
ejpam-5581	529	2	effects	effect	NOUN
ejpam-5581	529	3	of	of	ADP
ejpam-5581	529	4	a	a	DET
ejpam-5581	529	5	high	high	ADJ
ejpam-5581	529	6	weissenberg	weissenberg	NOUN
ejpam-5581	529	7	number	number	NOUN
ejpam-5581	529	8	,	,	PUNCT
ejpam-5581	529	9	(	(	PUNCT
ejpam-5581	529	10	we)(a	we)(a	PROPN
ejpam-5581	529	11	)	)	PUNCT
ejpam-5581	529	12	,	,	PUNCT
ejpam-5581	529	13	on	on	ADP
ejpam-5581	529	14	the	the	DET
ejpam-5581	529	15	acl	acl	PROPN
ejpam-5581	529	16	and	and	CCONJ
ejpam-5581	529	17	pcl	pcl	PROPN
ejpam-5581	529	18	velocities	velocity	NOUN
ejpam-5581	529	19	of	of	ADP
ejpam-5581	529	20	johnson	johnson	PROPN
ejpam-5581	529	21	-	-	PUNCT
ejpam-5581	529	22	segalman	segalman	NOUN
ejpam-5581	529	23	fluid	fluid	NOUN
ejpam-5581	529	24	are	be	AUX
ejpam-5581	529	25	displayed	display	VERB
ejpam-5581	529	26	numerically	numerically	ADV
ejpam-5581	529	27	in	in	ADP
ejpam-5581	529	28	table	table	NOUN
ejpam-5581	529	29	1	1	NUM
ejpam-5581	529	30	.	.	PUNCT
ejpam-5581	530	1	these	these	DET
ejpam-5581	530	2	statistics	statistic	NOUN
ejpam-5581	530	3	clearly	clearly	ADV
ejpam-5581	530	4	show	show	VERB
ejpam-5581	530	5	that	that	SCONJ
ejpam-5581	530	6	when	when	SCONJ
ejpam-5581	530	7	there	there	PRON
ejpam-5581	530	8	is	be	VERB
ejpam-5581	530	9	an	an	DET
ejpam-5581	530	10	increment	increment	NOUN
ejpam-5581	530	11	in	in	ADP
ejpam-5581	530	12	the	the	DET
ejpam-5581	530	13	values	value	NOUN
ejpam-5581	530	14	from	from	ADP
ejpam-5581	530	15	1.0	1.0	NUM
ejpam-5581	530	16	to	to	PART
ejpam-5581	530	17	10.0	10.0	NUM
ejpam-5581	530	18	,	,	PUNCT
ejpam-5581	530	19	the	the	DET
ejpam-5581	530	20	mucociliary	mucociliary	NOUN
ejpam-5581	530	21	velocity	velocity	NOUN
ejpam-5581	530	22	reduces	reduce	VERB
ejpam-5581	530	23	and	and	CCONJ
ejpam-5581	530	24	the	the	DET
ejpam-5581	530	25	flow	flow	NOUN
ejpam-5581	530	26	direction	direction	NOUN
ejpam-5581	530	27	inverts	invert	VERB
ejpam-5581	530	28	.	.	PUNCT
ejpam-5581	531	1	it	it	PRON
ejpam-5581	531	2	may	may	AUX
ejpam-5581	531	3	assist	assist	VERB
ejpam-5581	531	4	the	the	DET
ejpam-5581	531	5	fluid	fluid	NOUN
ejpam-5581	531	6	in	in	ADP
ejpam-5581	531	7	maintaining	maintain	VERB
ejpam-5581	531	8	its	its	PRON
ejpam-5581	531	9	structure	structure	NOUN
ejpam-5581	531	10	by	by	ADP
ejpam-5581	531	11	exhibiting	exhibit	VERB
ejpam-5581	531	12	resistance	resistance	NOUN
ejpam-5581	531	13	to	to	ADP
ejpam-5581	531	14	deformation	deformation	NOUN
ejpam-5581	531	15	.	.	PUNCT
ejpam-5581	532	1	on	on	ADP
ejpam-5581	532	2	the	the	DET
ejpam-5581	532	3	other	other	ADJ
ejpam-5581	532	4	hand	hand	NOUN
ejpam-5581	532	5	,	,	PUNCT
ejpam-5581	532	6	table	table	NOUN
ejpam-5581	532	7	2	2	NUM
ejpam-5581	532	8	demonstrates	demonstrate	VERB
ejpam-5581	532	9	that	that	SCONJ
ejpam-5581	532	10	as	as	SCONJ
ejpam-5581	532	11	the	the	DET
ejpam-5581	532	12	values	value	NOUN
ejpam-5581	532	13	of	of	ADP
ejpam-5581	532	14	(	(	PUNCT
ejpam-5581	532	15	we)(a	we)(a	PROPN
ejpam-5581	532	16	)	)	PUNCT
ejpam-5581	532	17	increase	increase	NOUN
ejpam-5581	532	18	from	from	ADP
ejpam-5581	532	19	1.0	1.0	NUM
ejpam-5581	532	20	to	to	PART
ejpam-5581	532	21	10.0	10.0	NUM
ejpam-5581	532	22	,	,	PUNCT
ejpam-5581	532	23	velocity	velocity	NOUN
ejpam-5581	532	24	increases	increase	VERB
ejpam-5581	532	25	rapidly	rapidly	ADV
ejpam-5581	532	26	,	,	PUNCT
ejpam-5581	532	27	potentially	potentially	ADV
ejpam-5581	532	28	causing	cause	VERB
ejpam-5581	532	29	the	the	DET
ejpam-5581	532	30	fluid	fluid	NOUN
ejpam-5581	532	31	to	to	PART
ejpam-5581	532	32	break	break	VERB
ejpam-5581	532	33	down	down	ADP
ejpam-5581	532	34	its	its	PRON
ejpam-5581	532	35	structure	structure	NOUN
ejpam-5581	532	36	or	or	CCONJ
ejpam-5581	532	37	offer	offer	VERB
ejpam-5581	532	38	lesser	less	ADJ
ejpam-5581	532	39	resistance	resistance	NOUN
ejpam-5581	532	40	to	to	ADP
ejpam-5581	532	41	deformation	deformation	NOUN
ejpam-5581	532	42	,	,	PUNCT
ejpam-5581	532	43	behaving	behave	VERB
ejpam-5581	532	44	more	more	ADV
ejpam-5581	532	45	like	like	ADP
ejpam-5581	532	46	a	a	DET
ejpam-5581	532	47	liquid	liquid	NOUN
ejpam-5581	532	48	.	.	PUNCT
ejpam-5581	533	1	the	the	DET
ejpam-5581	533	2	effects	effect	NOUN
ejpam-5581	533	3	of	of	ADP
ejpam-5581	533	4	(	(	PUNCT
ejpam-5581	533	5	we)(a	we)(a	PROPN
ejpam-5581	533	6	)	)	PUNCT
ejpam-5581	533	7	and	and	CCONJ
ejpam-5581	533	8	(	(	PUNCT
ejpam-5581	533	9	we)(p	we)(p	X
ejpam-5581	533	10	)	)	PUNCT
ejpam-5581	533	11	are	be	AUX
ejpam-5581	533	12	vice	vice	ADV
ejpam-5581	533	13	versa	versa	ADJ
ejpam-5581	533	14	on	on	ADP
ejpam-5581	533	15	acl	acl	PROPN
ejpam-5581	533	16	and	and	CCONJ
ejpam-5581	533	17	pcl	pcl	PROPN
ejpam-5581	533	18	velocity	velocity	NOUN
ejpam-5581	533	19	.	.	PUNCT
ejpam-5581	534	1	different	different	ADJ
ejpam-5581	534	2	effects	effect	NOUN
ejpam-5581	534	3	of	of	ADP
ejpam-5581	534	4	high	high	ADJ
ejpam-5581	534	5	weissenberg	weissenberg	NOUN
ejpam-5581	534	6	numbers	number	NOUN
ejpam-5581	534	7	are	be	AUX
ejpam-5581	534	8	shown	show	VERB
ejpam-5581	534	9	in	in	ADP
ejpam-5581	534	10	acl	acl	PROPN
ejpam-5581	534	11	and	and	CCONJ
ejpam-5581	534	12	pcl	pcl	PROPN
ejpam-5581	534	13	velocities	velocity	NOUN
ejpam-5581	534	14	;	;	PUNCT
ejpam-5581	534	15	(	(	PUNCT
ejpam-5581	534	16	we)(a	we)(a	NOUN
ejpam-5581	534	17	)	)	PUNCT
ejpam-5581	534	18	influences	influence	VERB
ejpam-5581	534	19	the	the	DET
ejpam-5581	534	20	direction	direction	NOUN
ejpam-5581	534	21	of	of	ADP
ejpam-5581	534	22	flow	flow	NOUN
ejpam-5581	534	23	,	,	PUNCT
ejpam-5581	534	24	whereas	whereas	SCONJ
ejpam-5581	534	25	(	(	PUNCT
ejpam-5581	534	26	we)(p	we)(p	X
ejpam-5581	534	27	)	)	PUNCT
ejpam-5581	534	28	forces	force	VERB
ejpam-5581	534	29	the	the	DET
ejpam-5581	534	30	fluid	fluid	NOUN
ejpam-5581	534	31	to	to	PART
ejpam-5581	534	32	move	move	VERB
ejpam-5581	534	33	more	more	ADV
ejpam-5581	534	34	easily	easily	ADV
ejpam-5581	534	35	and	and	CCONJ
ejpam-5581	534	36	quickly	quickly	ADV
ejpam-5581	534	37	in	in	ADP
ejpam-5581	534	38	the	the	DET
ejpam-5581	534	39	forward	forward	ADJ
ejpam-5581	534	40	direction	direction	NOUN
ejpam-5581	534	41	.	.	PUNCT
ejpam-5581	535	1	table	table	NOUN
ejpam-5581	535	2	1	1	NUM
ejpam-5581	535	3	:	:	PUNCT
ejpam-5581	535	4	variation	variation	NOUN
ejpam-5581	535	5	impact	impact	NOUN
ejpam-5581	535	6	of	of	ADP
ejpam-5581	535	7	high	high	ADJ
ejpam-5581	535	8	weissenberg	weissenberg	NOUN
ejpam-5581	535	9	number	number	NOUN
ejpam-5581	535	10	(	(	PUNCT
ejpam-5581	535	11	we)(a	we)(a	PROPN
ejpam-5581	535	12	)	)	PUNCT
ejpam-5581	535	13	on	on	ADP
ejpam-5581	535	14	velocity	velocity	NOUN
ejpam-5581	535	15	.	.	PUNCT
ejpam-5581	536	1	(	(	PUNCT
ejpam-5581	536	2	we)(a	we)(a	PROPN
ejpam-5581	536	3	)	)	PUNCT
ejpam-5581	536	4	=	=	SYM
ejpam-5581	537	1	1.00	1.00	NUM
ejpam-5581	537	2	(	(	PUNCT
ejpam-5581	537	3	we)(a	we)(a	PROPN
ejpam-5581	537	4	)	)	PUNCT
ejpam-5581	538	1	=	=	SYM
ejpam-5581	538	2	5.00	5.00	NUM
ejpam-5581	538	3	(	(	PUNCT
ejpam-5581	538	4	we)(a	we)(a	PROPN
ejpam-5581	538	5	)	)	PUNCT
ejpam-5581	538	6	=	=	PUNCT
ejpam-5581	539	1	10.00	10.00	NUM
ejpam-5581	539	2	y	y	PROPN
ejpam-5581	539	3	u(a)(x	u(a)(x	PROPN
ejpam-5581	539	4	,	,	PUNCT
ejpam-5581	539	5	y	y	PROPN
ejpam-5581	539	6	)	)	PUNCT
ejpam-5581	539	7	u(p	u(p	NOUN
ejpam-5581	539	8	)	)	PUNCT
ejpam-5581	539	9	(	(	PUNCT
ejpam-5581	539	10	x	x	X
ejpam-5581	539	11	,	,	PUNCT
ejpam-5581	539	12	y	y	PROPN
ejpam-5581	539	13	)	)	PUNCT
ejpam-5581	539	14	u(a)(x	u(a)(x	PROPN
ejpam-5581	539	15	,	,	PUNCT
ejpam-5581	539	16	y	y	NOUN
ejpam-5581	539	17	)	)	PUNCT
ejpam-5581	539	18	u(p	u(p	NOUN
ejpam-5581	539	19	)	)	PUNCT
ejpam-5581	539	20	(	(	PUNCT
ejpam-5581	539	21	x	x	X
ejpam-5581	539	22	,	,	PUNCT
ejpam-5581	539	23	y	y	PROPN
ejpam-5581	539	24	)	)	PUNCT
ejpam-5581	539	25	u(a)(x	u(a)(x	PROPN
ejpam-5581	539	26	,	,	PUNCT
ejpam-5581	539	27	y	y	NOUN
ejpam-5581	539	28	)	)	PUNCT
ejpam-5581	539	29	u(p	u(p	NOUN
ejpam-5581	539	30	)	)	PUNCT
ejpam-5581	539	31	(	(	PUNCT
ejpam-5581	539	32	x	x	X
ejpam-5581	539	33	,	,	PUNCT
ejpam-5581	539	34	y	y	PROPN
ejpam-5581	539	35	)	)	PUNCT
ejpam-5581	539	36	0.0	0.0	NUM
ejpam-5581	539	37	2.31568	2.31568	NUM
ejpam-5581	539	38	2.39972	2.39972	NUM
ejpam-5581	539	39	11.4225	11.4225	NUM
ejpam-5581	539	40	9.25325	9.25325	NUM
ejpam-5581	539	41	-29.7104	-29.7104	SYM
ejpam-5581	539	42	-64.4501	-64.4501	NUM
ejpam-5581	539	43	0.2	0.2	NUM
ejpam-5581	539	44	2.17309	2.17309	NUM
ejpam-5581	539	45	2.25658	2.25658	NUM
ejpam-5581	539	46	10.9828	10.9828	NUM
ejpam-5581	540	1	8.81956	8.81956	NUM
ejpam-5581	540	2	-27.2559	-27.2559	SYM
ejpam-5581	540	3	-61.747	-61.747	PROPN
ejpam-5581	540	4	0.4	0.4	NUM
ejpam-5581	540	5	1.75015	1.75015	NUM
ejpam-5581	540	6	1.82635	1.82635	NUM
ejpam-5581	540	7	9.01264	9.01264	NUM
ejpam-5581	540	8	7.51723	7.51723	NUM
ejpam-5581	540	9	-30.3327	-30.3327	NUM
ejpam-5581	540	10	-53.6409	-53.6409	SYM
ejpam-5581	540	11	0.6	0.6	NUM
ejpam-5581	540	12	1.05404	1.05404	NUM
ejpam-5581	540	13	1.10653	1.10653	NUM
ejpam-5581	540	14	-0.76465	-0.76465	NOUN
ejpam-5581	540	15	5.34247	5.34247	NUM
ejpam-5581	540	16	-126.173	-126.173	PROPN
ejpam-5581	540	17	-40.141	-40.141	NUM
ejpam-5581	540	18	0.8	0.8	NUM
ejpam-5581	540	19	0.07215	0.07215	NUM
ejpam-5581	540	20	0.09247	0.09247	NUM
ejpam-5581	540	21	-43.2254	-43.2254	SYM
ejpam-5581	540	22	2.2885	2.2885	NUM
ejpam-5581	540	23	-646.53	-646.53	PROPN
ejpam-5581	540	24	-21.2634	-21.2634	NUM
ejpam-5581	540	25	1.0	1.0	NUM
ejpam-5581	540	26	-1.26441	-1.26441	NOUN
ejpam-5581	540	27	-1.22322	-1.22322	NOUN
ejpam-5581	540	28	-183.468	-183.468	PROPN
ejpam-5581	540	29	-1.65501	-1.65501	X
ejpam-5581	541	1	-2447.23	-2447.23	PROPN
ejpam-5581	541	2	2.96882	2.96882	NUM
ejpam-5581	541	3	a.	a.	NOUN
ejpam-5581	541	4	alaidrous	alaidrous	NOUN
ejpam-5581	541	5	,	,	PUNCT
ejpam-5581	541	6	h.	h.	PROPN
ejpam-5581	541	7	ashraf	ashraf	PROPN
ejpam-5581	541	8	/	/	SYM
ejpam-5581	541	9	eur	eur	PROPN
ejpam-5581	541	10	.	.	PUNCT
ejpam-5581	542	1	j.	j.	PROPN
ejpam-5581	542	2	pure	pure	PROPN
ejpam-5581	542	3	appl	appl	PROPN
ejpam-5581	542	4	.	.	PROPN
ejpam-5581	542	5	math	math	PROPN
ejpam-5581	542	6	,	,	PUNCT
ejpam-5581	542	7	18	18	NUM
ejpam-5581	542	8	(	(	PUNCT
ejpam-5581	542	9	1	1	NUM
ejpam-5581	542	10	)	)	PUNCT
ejpam-5581	542	11	(	(	PUNCT
ejpam-5581	542	12	2025	2025	NUM
ejpam-5581	542	13	)	)	PUNCT
ejpam-5581	542	14	,	,	PUNCT
ejpam-5581	542	15	5581	5581	NUM
ejpam-5581	542	16	21	21	NUM
ejpam-5581	542	17	of	of	ADP
ejpam-5581	542	18	30	30	NUM
ejpam-5581	542	19	table	table	NOUN
ejpam-5581	542	20	2	2	NUM
ejpam-5581	542	21	:	:	PUNCT
ejpam-5581	542	22	variation	variation	NOUN
ejpam-5581	542	23	impact	impact	NOUN
ejpam-5581	542	24	of	of	ADP
ejpam-5581	542	25	high	high	ADJ
ejpam-5581	542	26	weissenberg	weissenberg	NOUN
ejpam-5581	542	27	number	number	NOUN
ejpam-5581	542	28	(	(	PUNCT
ejpam-5581	542	29	we)(p	we)(p	X
ejpam-5581	542	30	)	)	PUNCT
ejpam-5581	542	31	on	on	ADP
ejpam-5581	542	32	velocity	velocity	NOUN
ejpam-5581	542	33	.	.	PUNCT
ejpam-5581	543	1	(	(	PUNCT
ejpam-5581	543	2	we)(p	we)(p	X
ejpam-5581	543	3	)	)	PUNCT
ejpam-5581	543	4	=	=	SYM
ejpam-5581	543	5	1.00	1.00	NUM
ejpam-5581	543	6	(	(	PUNCT
ejpam-5581	543	7	we)(p	we)(p	X
ejpam-5581	543	8	)	)	PUNCT
ejpam-5581	544	1	=	=	SYM
ejpam-5581	544	2	5.00	5.00	NUM
ejpam-5581	544	3	(	(	PUNCT
ejpam-5581	544	4	we)(p	we)(p	X
ejpam-5581	544	5	)	)	PUNCT
ejpam-5581	545	1	=	=	SYM
ejpam-5581	545	2	10.00	10.00	NUM
ejpam-5581	545	3	y	y	PROPN
ejpam-5581	545	4	u(a)(x	u(a)(x	PROPN
ejpam-5581	545	5	,	,	PUNCT
ejpam-5581	545	6	y	y	PROPN
ejpam-5581	545	7	)	)	PUNCT
ejpam-5581	545	8	u(p	u(p	NOUN
ejpam-5581	545	9	)	)	PUNCT
ejpam-5581	545	10	(	(	PUNCT
ejpam-5581	545	11	x	x	X
ejpam-5581	545	12	,	,	PUNCT
ejpam-5581	545	13	y	y	PROPN
ejpam-5581	545	14	)	)	PUNCT
ejpam-5581	545	15	u(a)(x	u(a)(x	PROPN
ejpam-5581	545	16	,	,	PUNCT
ejpam-5581	545	17	y	y	NOUN
ejpam-5581	545	18	)	)	PUNCT
ejpam-5581	545	19	u(p	u(p	NOUN
ejpam-5581	545	20	)	)	PUNCT
ejpam-5581	545	21	(	(	PUNCT
ejpam-5581	545	22	x	x	X
ejpam-5581	545	23	,	,	PUNCT
ejpam-5581	545	24	y	y	PROPN
ejpam-5581	545	25	)	)	PUNCT
ejpam-5581	545	26	u(a)(x	u(a)(x	PROPN
ejpam-5581	545	27	,	,	PUNCT
ejpam-5581	545	28	y	y	NOUN
ejpam-5581	545	29	)	)	PUNCT
ejpam-5581	545	30	u(p	u(p	NOUN
ejpam-5581	545	31	)	)	PUNCT
ejpam-5581	545	32	(	(	PUNCT
ejpam-5581	545	33	x	x	X
ejpam-5581	545	34	,	,	PUNCT
ejpam-5581	545	35	y	y	PROPN
ejpam-5581	545	36	)	)	PUNCT
ejpam-5581	545	37	0.0	0.0	NUM
ejpam-5581	545	38	418.307	418.307	NUM
ejpam-5581	545	39	418.899	418.899	NUM
ejpam-5581	545	40	3.96301×	3.96301×	NUM
ejpam-5581	545	41	107	107	NUM
ejpam-5581	545	42	3.96334×	3.96334×	NUM
ejpam-5581	545	43	107	107	NUM
ejpam-5581	545	44	9.45422×	9.45422×	NUM
ejpam-5581	545	45	109	109	NUM
ejpam-5581	545	46	9.45443×	9.45443×	NUM
ejpam-5581	545	47	109	109	NUM
ejpam-5581	545	48	0.2	0.2	NUM
ejpam-5581	545	49	400.517	400.517	NUM
ejpam-5581	545	50	401.108	401.108	NUM
ejpam-5581	545	51	3.79475×	3.79475×	NUM
ejpam-5581	545	52	107	107	NUM
ejpam-5581	545	53	3.79507×	3.79507×	NUM
ejpam-5581	545	54	107	107	NUM
ejpam-5581	545	55	9.05244×	9.05244×	NUM
ejpam-5581	545	56	109	109	NUM
ejpam-5581	545	57	9.05265×	9.05265×	NUM
ejpam-5581	545	58	109	109	NUM
ejpam-5581	545	59	0.4	0.4	NUM
ejpam-5581	545	60	347.148	347.148	NUM
ejpam-5581	545	61	347.712	347.712	NUM
ejpam-5581	545	62	3.28998×	3.28998×	NUM
ejpam-5581	545	63	107	107	NUM
ejpam-5581	545	64	3.29016×	3.29016×	NUM
ejpam-5581	545	65	107	107	NUM
ejpam-5581	545	66	7.84711×	7.84711×	NUM
ejpam-5581	545	67	109	109	NUM
ejpam-5581	545	68	7.84722×	7.84722×	NUM
ejpam-5581	545	69	109	109	NUM
ejpam-5581	545	70	0.6	0.6	NUM
ejpam-5581	545	71	258.195	258.195	NUM
ejpam-5581	545	72	258.627	258.627	NUM
ejpam-5581	545	73	2.44870×	2.44870×	NUM
ejpam-5581	545	74	107	107	NUM
ejpam-5581	545	75	2.44826×	2.44826×	NUM
ejpam-5581	545	76	107	107	NUM
ejpam-5581	545	77	5.83822×	5.83822×	NUM
ejpam-5581	545	78	109	109	NUM
ejpam-5581	545	79	5.83792×	5.83792×	NUM
ejpam-5581	545	80	109	109	NUM
ejpam-5581	545	81	0.8	0.8	NUM
ejpam-5581	545	82	133.653	133.653	NUM
ejpam-5581	545	83	133.670	133.670	NUM
ejpam-5581	545	84	1.27089×	1.27089×	NUM
ejpam-5581	545	85	107	107	NUM
ejpam-5581	545	86	1.26874×	1.26874×	NUM
ejpam-5581	545	87	107	107	NUM
ejpam-5581	545	88	3.02577×	3.02577×	NUM
ejpam-5581	545	89	109	109	NUM
ejpam-5581	545	90	3.02435×	3.02435×	NUM
ejpam-5581	545	91	109	109	NUM
ejpam-5581	545	92	1.0	1.0	NUM
ejpam-5581	545	93	-26.488	-26.488	PUNCT
ejpam-5581	545	94	-27.514	-27.514	PROPN
ejpam-5581	545	95	−2.43432×	−2.43432×	VERB
ejpam-5581	545	96	106	106	NUM
ejpam-5581	545	97	−2.49344×	−2.49344×	NOUN
ejpam-5581	545	98	107	107	NUM
ejpam-5581	545	99	−5.90229×	−5.90229×	NOUN
ejpam-5581	545	100	108	108	NUM
ejpam-5581	545	101	−5.94113×	−5.94113×	NUM
ejpam-5581	545	102	108	108	NUM
ejpam-5581	545	103	4.2	4.2	NUM
ejpam-5581	545	104	.	.	PUNCT
ejpam-5581	546	1	temperature	temperature	NOUN
ejpam-5581	546	2	figs	fig	NOUN
ejpam-5581	546	3	.	.	PUNCT
ejpam-5581	547	1	4	4	NUM
ejpam-5581	547	2	and	and	CCONJ
ejpam-5581	547	3	5	5	NUM
ejpam-5581	547	4	display	display	VERB
ejpam-5581	547	5	the	the	DET
ejpam-5581	547	6	impact	impact	NOUN
ejpam-5581	547	7	of	of	ADP
ejpam-5581	547	8	several	several	ADJ
ejpam-5581	547	9	parameters	parameter	NOUN
ejpam-5581	547	10	,	,	PUNCT
ejpam-5581	547	11	namely	namely	ADV
ejpam-5581	547	12	ea	ea	NUM
ejpam-5581	547	13	,	,	PUNCT
ejpam-5581	547	14	ep	ep	PROPN
ejpam-5581	547	15	,	,	PUNCT
ejpam-5581	547	16	(	(	PUNCT
ejpam-5581	547	17	we)(a	we)(a	PROPN
ejpam-5581	547	18	)	)	PUNCT
ejpam-5581	547	19	,	,	PUNCT
ejpam-5581	547	20	(	(	PUNCT
ejpam-5581	547	21	we)(p	we)(p	X
ejpam-5581	547	22	)	)	PUNCT
ejpam-5581	547	23	,	,	PUNCT
ejpam-5581	547	24	br(a	br(a	NUM
ejpam-5581	547	25	)	)	PUNCT
ejpam-5581	547	26	,	,	PUNCT
ejpam-5581	547	27	br(p	br(p	PUNCT
ejpam-5581	547	28	)	)	PUNCT
ejpam-5581	547	29	,	,	PUNCT
ejpam-5581	547	30	π	π	PROPN
ejpam-5581	547	31	,	,	PUNCT
ejpam-5581	547	32	and	and	CCONJ
ejpam-5581	547	33	ξ	ξ	NOUN
ejpam-5581	547	34	,	,	PUNCT
ejpam-5581	547	35	on	on	ADP
ejpam-5581	547	36	the	the	DET
ejpam-5581	547	37	acl	acl	PROPN
ejpam-5581	547	38	and	and	CCONJ
ejpam-5581	547	39	pcl	pcl	PROPN
ejpam-5581	547	40	temperature	temperature	NOUN
ejpam-5581	547	41	.	.	PUNCT
ejpam-5581	548	1	figs	fig	NOUN
ejpam-5581	548	2	.	.	PUNCT
ejpam-5581	549	1	4(a	4(a	NUM
ejpam-5581	549	2	)	)	PUNCT
ejpam-5581	549	3	and	and	CCONJ
ejpam-5581	549	4	4(b	4(b	NUM
ejpam-5581	549	5	)	)	PUNCT
ejpam-5581	549	6	specifically	specifically	ADV
ejpam-5581	549	7	show	show	VERB
ejpam-5581	549	8	the	the	DET
ejpam-5581	549	9	impact	impact	NOUN
ejpam-5581	549	10	of	of	ADP
ejpam-5581	549	11	ea	ea	NOUN
ejpam-5581	549	12	and	and	CCONJ
ejpam-5581	549	13	ep	ep	PROPN
ejpam-5581	549	14	on	on	ADP
ejpam-5581	549	15	temperature	temperature	NOUN
ejpam-5581	549	16	.	.	PUNCT
ejpam-5581	550	1	significantly	significantly	ADV
ejpam-5581	550	2	,	,	PUNCT
ejpam-5581	550	3	these	these	DET
ejpam-5581	550	4	characteristics	characteristic	NOUN
ejpam-5581	550	5	display	display	VERB
ejpam-5581	550	6	contrasting	contrasting	NOUN
ejpam-5581	550	7	impacts	impact	NOUN
ejpam-5581	550	8	on	on	ADP
ejpam-5581	550	9	temperature	temperature	NOUN
ejpam-5581	550	10	.	.	PUNCT
ejpam-5581	551	1	an	an	DET
ejpam-5581	551	2	increased	increase	VERB
ejpam-5581	551	3	value	value	NOUN
ejpam-5581	551	4	in	in	ADP
ejpam-5581	551	5	ea	ea	NOUN
ejpam-5581	551	6	causes	cause	VERB
ejpam-5581	551	7	a	a	DET
ejpam-5581	551	8	drop	drop	NOUN
ejpam-5581	551	9	in	in	ADP
ejpam-5581	551	10	temperature	temperature	NOUN
ejpam-5581	551	11	,	,	PUNCT
ejpam-5581	551	12	whereas	whereas	SCONJ
ejpam-5581	551	13	an	an	DET
ejpam-5581	551	14	elevation	elevation	NOUN
ejpam-5581	551	15	in	in	ADP
ejpam-5581	551	16	ep	ep	PROPN
ejpam-5581	551	17	leads	lead	VERB
ejpam-5581	551	18	to	to	ADP
ejpam-5581	551	19	a	a	DET
ejpam-5581	551	20	boost	boost	NOUN
ejpam-5581	551	21	in	in	ADP
ejpam-5581	551	22	temperature	temperature	NOUN
ejpam-5581	551	23	.	.	PUNCT
ejpam-5581	552	1	similarly	similarly	ADV
ejpam-5581	552	2	,	,	PUNCT
ejpam-5581	552	3	the	the	DET
ejpam-5581	552	4	variations	variation	NOUN
ejpam-5581	552	5	in	in	ADP
ejpam-5581	552	6	(	(	PUNCT
ejpam-5581	552	7	we)(a	we)(a	PROPN
ejpam-5581	552	8	)	)	PUNCT
ejpam-5581	552	9	and	and	CCONJ
ejpam-5581	552	10	(	(	PUNCT
ejpam-5581	552	11	we)(p	we)(p	X
ejpam-5581	552	12	)	)	PUNCT
ejpam-5581	552	13	also	also	ADV
ejpam-5581	552	14	have	have	VERB
ejpam-5581	552	15	different	different	ADJ
ejpam-5581	552	16	impacts	impact	NOUN
ejpam-5581	552	17	on	on	ADP
ejpam-5581	552	18	temperature	temperature	NOUN
ejpam-5581	552	19	,	,	PUNCT
ejpam-5581	552	20	as	as	SCONJ
ejpam-5581	552	21	seen	see	VERB
ejpam-5581	552	22	in	in	ADP
ejpam-5581	552	23	figs	fig	NOUN
ejpam-5581	552	24	.	.	PUNCT
ejpam-5581	553	1	4(c	4(c	NUM
ejpam-5581	553	2	)	)	PUNCT
ejpam-5581	553	3	and	and	CCONJ
ejpam-5581	553	4	4(d	4(d	NUM
ejpam-5581	553	5	)	)	PUNCT
ejpam-5581	553	6	.	.	PUNCT
ejpam-5581	554	1	an	an	DET
ejpam-5581	554	2	increase	increase	NOUN
ejpam-5581	554	3	in	in	ADP
ejpam-5581	554	4	the	the	DET
ejpam-5581	554	5	(	(	PUNCT
ejpam-5581	554	6	we)(a	we)(a	PROPN
ejpam-5581	554	7	)	)	PUNCT
ejpam-5581	554	8	leads	lead	VERB
ejpam-5581	554	9	to	to	ADP
ejpam-5581	554	10	a	a	DET
ejpam-5581	554	11	fall	fall	NOUN
ejpam-5581	554	12	in	in	ADP
ejpam-5581	554	13	temperature	temperature	NOUN
ejpam-5581	554	14	,	,	PUNCT
ejpam-5581	554	15	whereas	whereas	SCONJ
ejpam-5581	554	16	an	an	DET
ejpam-5581	554	17	increase	increase	NOUN
ejpam-5581	554	18	in	in	ADP
ejpam-5581	554	19	the	the	DET
ejpam-5581	554	20	(	(	PUNCT
ejpam-5581	554	21	we)(p	we)(p	X
ejpam-5581	554	22	)	)	PUNCT
ejpam-5581	554	23	causes	cause	VERB
ejpam-5581	554	24	the	the	DET
ejpam-5581	554	25	temperature	temperature	NOUN
ejpam-5581	554	26	to	to	PART
ejpam-5581	554	27	increment	increment	VERB
ejpam-5581	554	28	.	.	PUNCT
ejpam-5581	555	1	the	the	DET
ejpam-5581	555	2	temperature	temperature	NOUN
ejpam-5581	555	3	variations	variation	NOUN
ejpam-5581	555	4	can	can	AUX
ejpam-5581	555	5	be	be	AUX
ejpam-5581	555	6	ascribed	ascribe	VERB
ejpam-5581	555	7	to	to	ADP
ejpam-5581	555	8	the	the	DET
ejpam-5581	555	9	relaxation	relaxation	NOUN
ejpam-5581	555	10	time	time	NOUN
ejpam-5581	555	11	.	.	PUNCT
ejpam-5581	556	1	changes	change	NOUN
ejpam-5581	556	2	in	in	ADP
ejpam-5581	556	3	the	the	DET
ejpam-5581	556	4	acl	acl	PROPN
ejpam-5581	556	5	’s	’s	PART
ejpam-5581	556	6	relaxation	relaxation	NOUN
ejpam-5581	556	7	time	time	NOUN
ejpam-5581	556	8	impact	impact	NOUN
ejpam-5581	556	9	temperature	temperature	NOUN
ejpam-5581	556	10	,	,	PUNCT
ejpam-5581	556	11	with	with	ADP
ejpam-5581	556	12	prolonged	prolonged	ADJ
ejpam-5581	556	13	relaxation	relaxation	NOUN
ejpam-5581	556	14	times	time	NOUN
ejpam-5581	556	15	resulting	result	VERB
ejpam-5581	556	16	in	in	ADP
ejpam-5581	556	17	lower	low	ADJ
ejpam-5581	556	18	temperatures	temperature	NOUN
ejpam-5581	556	19	.	.	PUNCT
ejpam-5581	557	1	conversely	conversely	ADV
ejpam-5581	557	2	,	,	PUNCT
ejpam-5581	557	3	prolonged	prolonged	ADJ
ejpam-5581	557	4	relaxation	relaxation	NOUN
ejpam-5581	557	5	times	time	NOUN
ejpam-5581	557	6	of	of	ADP
ejpam-5581	557	7	the	the	DET
ejpam-5581	557	8	pcl	pcl	PROPN
ejpam-5581	557	9	tend	tend	VERB
ejpam-5581	557	10	to	to	PART
ejpam-5581	557	11	cause	cause	VERB
ejpam-5581	557	12	an	an	DET
ejpam-5581	557	13	increase	increase	NOUN
ejpam-5581	557	14	in	in	ADP
ejpam-5581	557	15	temperature	temperature	NOUN
ejpam-5581	557	16	.	.	PUNCT
ejpam-5581	558	1	fig	fig	NOUN
ejpam-5581	558	2	.	.	PUNCT
ejpam-5581	559	1	5(a	5(a	NUM
ejpam-5581	559	2	)	)	PUNCT
ejpam-5581	559	3	and	and	CCONJ
ejpam-5581	559	4	5(b	5(b	NUM
ejpam-5581	559	5	)	)	PUNCT
ejpam-5581	559	6	depict	depict	VERB
ejpam-5581	559	7	the	the	DET
ejpam-5581	559	8	opposite	opposite	ADJ
ejpam-5581	559	9	effects	effect	NOUN
ejpam-5581	559	10	of	of	ADP
ejpam-5581	559	11	br(a	br(a	NOUN
ejpam-5581	559	12	)	)	PUNCT
ejpam-5581	559	13	and	and	CCONJ
ejpam-5581	559	14	br(p	br(p	PUNCT
ejpam-5581	559	15	)	)	PUNCT
ejpam-5581	559	16	on	on	ADP
ejpam-5581	559	17	temperature	temperature	NOUN
ejpam-5581	559	18	.	.	PUNCT
ejpam-5581	560	1	with	with	ADP
ejpam-5581	560	2	the	the	DET
ejpam-5581	560	3	increment	increment	NOUN
ejpam-5581	560	4	in	in	ADP
ejpam-5581	560	5	br(a	br(a	NUM
ejpam-5581	560	6	)	)	PUNCT
ejpam-5581	560	7	,	,	PUNCT
ejpam-5581	560	8	the	the	DET
ejpam-5581	560	9	temperature	temperature	NOUN
ejpam-5581	560	10	decreases	decrease	VERB
ejpam-5581	560	11	,	,	PUNCT
ejpam-5581	560	12	while	while	SCONJ
ejpam-5581	560	13	with	with	ADP
ejpam-5581	560	14	the	the	DET
ejpam-5581	560	15	increment	increment	NOUN
ejpam-5581	560	16	in	in	ADP
ejpam-5581	560	17	br(p	br(p	PUNCT
ejpam-5581	560	18	)	)	PUNCT
ejpam-5581	560	19	,	,	PUNCT
ejpam-5581	560	20	the	the	DET
ejpam-5581	560	21	temperature	temperature	NOUN
ejpam-5581	560	22	rises	rise	VERB
ejpam-5581	560	23	.	.	PUNCT
ejpam-5581	561	1	this	this	DET
ejpam-5581	561	2	temperature	temperature	NOUN
ejpam-5581	561	3	variation	variation	NOUN
ejpam-5581	561	4	is	be	AUX
ejpam-5581	561	5	a	a	DET
ejpam-5581	561	6	result	result	NOUN
ejpam-5581	561	7	of	of	ADP
ejpam-5581	561	8	the	the	DET
ejpam-5581	561	9	interplay	interplay	NOUN
ejpam-5581	561	10	between	between	ADP
ejpam-5581	561	11	thermal	thermal	ADJ
ejpam-5581	561	12	diffusion	diffusion	NOUN
ejpam-5581	561	13	and	and	CCONJ
ejpam-5581	561	14	viscous	viscous	ADJ
ejpam-5581	561	15	dissipation	dissipation	NOUN
ejpam-5581	561	16	.	.	PUNCT
ejpam-5581	562	1	the	the	DET
ejpam-5581	562	2	viscous	viscous	ADJ
ejpam-5581	562	3	dissipation	dissipation	NOUN
ejpam-5581	562	4	rate	rate	NOUN
ejpam-5581	562	5	rises	rise	VERB
ejpam-5581	562	6	as	as	ADP
ejpam-5581	562	7	br(a	br(a	NOUN
ejpam-5581	562	8	)	)	PUNCT
ejpam-5581	562	9	increases	increase	NOUN
ejpam-5581	562	10	,	,	PUNCT
ejpam-5581	562	11	but	but	CCONJ
ejpam-5581	562	12	the	the	DET
ejpam-5581	562	13	thermal	thermal	ADJ
ejpam-5581	562	14	diffusion	diffusion	NOUN
ejpam-5581	562	15	rate	rate	NOUN
ejpam-5581	562	16	falls	fall	VERB
ejpam-5581	562	17	.	.	PUNCT
ejpam-5581	563	1	consequently	consequently	ADV
ejpam-5581	563	2	,	,	PUNCT
ejpam-5581	563	3	the	the	DET
ejpam-5581	563	4	temperature	temperature	NOUN
ejpam-5581	563	5	rises	rise	VERB
ejpam-5581	563	6	by	by	ADP
ejpam-5581	563	7	the	the	DET
ejpam-5581	563	8	increase	increase	NOUN
ejpam-5581	563	9	in	in	ADP
ejpam-5581	563	10	thermal	thermal	ADJ
ejpam-5581	563	11	diffusion	diffusion	NOUN
ejpam-5581	563	12	and	and	CCONJ
ejpam-5581	563	13	falls	fall	VERB
ejpam-5581	563	14	with	with	ADP
ejpam-5581	563	15	a	a	DET
ejpam-5581	563	16	decrease	decrease	NOUN
ejpam-5581	563	17	in	in	ADP
ejpam-5581	563	18	viscous	viscous	ADJ
ejpam-5581	563	19	dissipation	dissipation	NOUN
ejpam-5581	563	20	.	.	PUNCT
ejpam-5581	564	1	conversely	conversely	ADV
ejpam-5581	564	2	,	,	PUNCT
ejpam-5581	564	3	as	as	ADP
ejpam-5581	564	4	br(p	br(p	PUNCT
ejpam-5581	564	5	)	)	PUNCT
ejpam-5581	564	6	rises	rise	NOUN
ejpam-5581	564	7	,	,	PUNCT
ejpam-5581	564	8	the	the	DET
ejpam-5581	564	9	rate	rate	NOUN
ejpam-5581	564	10	of	of	ADP
ejpam-5581	564	11	viscous	viscous	ADJ
ejpam-5581	564	12	dissipation	dissipation	NOUN
ejpam-5581	564	13	rises	rise	VERB
ejpam-5581	564	14	and	and	CCONJ
ejpam-5581	564	15	the	the	DET
ejpam-5581	564	16	rate	rate	NOUN
ejpam-5581	564	17	of	of	ADP
ejpam-5581	564	18	thermal	thermal	ADJ
ejpam-5581	564	19	diffusion	diffusion	NOUN
ejpam-5581	564	20	falls	fall	VERB
ejpam-5581	564	21	.	.	PUNCT
ejpam-5581	565	1	because	because	SCONJ
ejpam-5581	565	2	of	of	ADP
ejpam-5581	565	3	viscous	viscous	ADJ
ejpam-5581	565	4	dissipation	dissipation	NOUN
ejpam-5581	565	5	,	,	PUNCT
ejpam-5581	565	6	the	the	DET
ejpam-5581	565	7	temperature	temperature	NOUN
ejpam-5581	565	8	rises	rise	VERB
ejpam-5581	565	9	.	.	PUNCT
ejpam-5581	566	1	conversely	conversely	ADV
ejpam-5581	566	2	,	,	PUNCT
ejpam-5581	566	3	an	an	DET
ejpam-5581	566	4	increment	increment	NOUN
ejpam-5581	566	5	in	in	ADP
ejpam-5581	566	6	thermal	thermal	ADJ
ejpam-5581	566	7	diffusion	diffusion	NOUN
ejpam-5581	566	8	causes	cause	VERB
ejpam-5581	566	9	the	the	DET
ejpam-5581	566	10	temperature	temperature	NOUN
ejpam-5581	566	11	to	to	PART
ejpam-5581	566	12	decrease	decrease	VERB
ejpam-5581	566	13	.	.	PUNCT
ejpam-5581	567	1	the	the	DET
ejpam-5581	567	2	temperatures	temperature	NOUN
ejpam-5581	567	3	of	of	ADP
ejpam-5581	567	4	both	both	DET
ejpam-5581	567	5	fluid	fluid	ADJ
ejpam-5581	567	6	layers	layer	NOUN
ejpam-5581	567	7	increase	increase	VERB
ejpam-5581	567	8	when	when	SCONJ
ejpam-5581	567	9	the	the	DET
ejpam-5581	567	10	parameter	parameter	NOUN
ejpam-5581	567	11	π	π	PROPN
ejpam-5581	567	12	increases	increase	VERB
ejpam-5581	567	13	,	,	PUNCT
ejpam-5581	567	14	as	as	SCONJ
ejpam-5581	567	15	seen	see	VERB
ejpam-5581	567	16	in	in	ADP
ejpam-5581	567	17	fig	fig	NOUN
ejpam-5581	567	18	.	.	PUNCT
ejpam-5581	568	1	5(c	5(c	NUM
ejpam-5581	568	2	)	)	PUNCT
ejpam-5581	568	3	.	.	PUNCT
ejpam-5581	569	1	fig	fig	NOUN
ejpam-5581	569	2	.	.	PUNCT
ejpam-5581	570	1	5(d	5(d	NUM
ejpam-5581	570	2	)	)	PUNCT
ejpam-5581	571	1	illustrates	illustrate	VERB
ejpam-5581	571	2	the	the	DET
ejpam-5581	571	3	correlation	correlation	NOUN
ejpam-5581	571	4	between	between	ADP
ejpam-5581	571	5	temperature	temperature	NOUN
ejpam-5581	571	6	and	and	CCONJ
ejpam-5581	571	7	ξ	ξ	NOUN
ejpam-5581	571	8	,	,	PUNCT
ejpam-5581	571	9	showing	show	VERB
ejpam-5581	571	10	that	that	SCONJ
ejpam-5581	571	11	a	a	DET
ejpam-5581	571	12	higher	high	ADJ
ejpam-5581	571	13	value	value	NOUN
ejpam-5581	571	14	of	of	ADP
ejpam-5581	571	15	ξ	ξ	PROPN
ejpam-5581	571	16	correlates	correlate	VERB
ejpam-5581	571	17	to	to	ADP
ejpam-5581	571	18	the	the	DET
ejpam-5581	571	19	rise	rise	NOUN
ejpam-5581	571	20	in	in	ADP
ejpam-5581	571	21	temperature	temperature	NOUN
ejpam-5581	571	22	.	.	PUNCT
ejpam-5581	572	1	thus	thus	ADV
ejpam-5581	572	2	,	,	PUNCT
ejpam-5581	572	3	there	there	PRON
ejpam-5581	572	4	is	be	VERB
ejpam-5581	572	5	of	of	ADP
ejpam-5581	572	6	directly	directly	ADV
ejpam-5581	572	7	proportional	proportional	ADJ
ejpam-5581	572	8	relation	relation	NOUN
ejpam-5581	572	9	between	between	ADP
ejpam-5581	572	10	the	the	DET
ejpam-5581	572	11	temperature	temperature	NOUN
ejpam-5581	572	12	and	and	CCONJ
ejpam-5581	572	13	pressure	pressure	NOUN
ejpam-5581	572	14	gradient	gradient	NOUN
ejpam-5581	572	15	condition	condition	NOUN
ejpam-5581	572	16	.	.	PUNCT
ejpam-5581	573	1	fig	fig	NOUN
ejpam-5581	573	2	.	.	PUNCT
ejpam-5581	574	1	6	6	NUM
ejpam-5581	574	2	presents	present	VERB
ejpam-5581	574	3	a	a	DET
ejpam-5581	574	4	comparison	comparison	NOUN
ejpam-5581	574	5	between	between	ADP
ejpam-5581	574	6	the	the	DET
ejpam-5581	574	7	johnson	johnson	PROPN
ejpam-5581	574	8	-	-	PUNCT
ejpam-5581	574	9	segalman	segalman	PROPN
ejpam-5581	574	10	fluid	fluid	ADJ
ejpam-5581	574	11	and	and	CCONJ
ejpam-5581	574	12	newtonian	newtonian	ADJ
ejpam-5581	574	13	fluid	fluid	NOUN
ejpam-5581	574	14	in	in	ADP
ejpam-5581	574	15	terms	term	NOUN
ejpam-5581	574	16	of	of	ADP
ejpam-5581	574	17	temperature	temperature	NOUN
ejpam-5581	574	18	.	.	PUNCT
ejpam-5581	575	1	this	this	DET
ejpam-5581	575	2	figure	figure	NOUN
ejpam-5581	575	3	suggests	suggest	VERB
ejpam-5581	575	4	that	that	SCONJ
ejpam-5581	575	5	mucus	mucus	NOUN
ejpam-5581	575	6	characterized	characterize	VERB
ejpam-5581	575	7	by	by	ADP
ejpam-5581	575	8	the	the	DET
ejpam-5581	575	9	johnson	johnson	PROPN
ejpam-5581	575	10	-	-	PUNCT
ejpam-5581	575	11	segalman	segalman	NOUN
ejpam-5581	575	12	fluid	fluid	NOUN
ejpam-5581	575	13	has	have	VERB
ejpam-5581	575	14	a	a	DET
ejpam-5581	575	15	higher	high	ADJ
ejpam-5581	575	16	temperature	temperature	NOUN
ejpam-5581	575	17	than	than	ADP
ejpam-5581	575	18	the	the	DET
ejpam-5581	575	19	newtonian	newtonian	ADJ
ejpam-5581	575	20	fluid	fluid	NOUN
ejpam-5581	575	21	.	.	PUNCT
ejpam-5581	576	1	a.	a.	PROPN
ejpam-5581	576	2	alaidrous	alaidrous	PROPN
ejpam-5581	576	3	,	,	PUNCT
ejpam-5581	576	4	h.	h.	PROPN
ejpam-5581	576	5	ashraf	ashraf	PROPN
ejpam-5581	576	6	/	/	SYM
ejpam-5581	576	7	eur	eur	PROPN
ejpam-5581	576	8	.	.	PUNCT
ejpam-5581	577	1	j.	j.	PROPN
ejpam-5581	577	2	pure	pure	PROPN
ejpam-5581	577	3	appl	appl	PROPN
ejpam-5581	577	4	.	.	PROPN
ejpam-5581	577	5	math	math	PROPN
ejpam-5581	577	6	,	,	PUNCT
ejpam-5581	577	7	18	18	NUM
ejpam-5581	577	8	(	(	PUNCT
ejpam-5581	577	9	1	1	NUM
ejpam-5581	577	10	)	)	PUNCT
ejpam-5581	577	11	(	(	PUNCT
ejpam-5581	577	12	2025	2025	NUM
ejpam-5581	577	13	)	)	PUNCT
ejpam-5581	577	14	,	,	PUNCT
ejpam-5581	577	15	5581	5581	NUM
ejpam-5581	577	16	22	22	NUM
ejpam-5581	577	17	of	of	ADP
ejpam-5581	577	18	30	30	NUM
ejpam-5581	577	19	figure	figure	NOUN
ejpam-5581	577	20	4	4	NUM
ejpam-5581	577	21	:	:	PUNCT
ejpam-5581	577	22	the	the	DET
ejpam-5581	577	23	variation	variation	NOUN
ejpam-5581	577	24	impacts	impact	NOUN
ejpam-5581	577	25	of	of	ADP
ejpam-5581	577	26	(	(	PUNCT
ejpam-5581	577	27	a	a	PRON
ejpam-5581	577	28	)	)	PUNCT
ejpam-5581	577	29	ea	ea	NOUN
ejpam-5581	577	30	,	,	PUNCT
ejpam-5581	577	31	(	(	PUNCT
ejpam-5581	577	32	b	b	X
ejpam-5581	577	33	)	)	PUNCT
ejpam-5581	577	34	ep	ep	NOUN
ejpam-5581	577	35	,	,	PUNCT
ejpam-5581	577	36	(	(	PUNCT
ejpam-5581	577	37	c	c	X
ejpam-5581	577	38	)	)	PUNCT
ejpam-5581	577	39	(	(	PUNCT
ejpam-5581	577	40	we)(a	we)(a	PROPN
ejpam-5581	577	41	)	)	PUNCT
ejpam-5581	577	42	and	and	CCONJ
ejpam-5581	577	43	(	(	PUNCT
ejpam-5581	577	44	d	d	NOUN
ejpam-5581	577	45	)	)	PUNCT
ejpam-5581	577	46	(	(	PUNCT
ejpam-5581	577	47	we)(p	we)(p	X
ejpam-5581	577	48	)	)	PUNCT
ejpam-5581	577	49	on	on	ADP
ejpam-5581	577	50	temperature	temperature	NOUN
ejpam-5581	577	51	t	t	PROPN
ejpam-5581	577	52	.	.	PUNCT
ejpam-5581	578	1	figure	figure	VERB
ejpam-5581	578	2	5	5	NUM
ejpam-5581	578	3	:	:	PUNCT
ejpam-5581	578	4	the	the	DET
ejpam-5581	578	5	variation	variation	NOUN
ejpam-5581	578	6	impacts	impact	NOUN
ejpam-5581	578	7	of	of	ADP
ejpam-5581	578	8	(	(	PUNCT
ejpam-5581	578	9	a	a	X
ejpam-5581	578	10	)	)	PUNCT
ejpam-5581	578	11	br(a	br(a	NUM
ejpam-5581	578	12	)	)	PUNCT
ejpam-5581	578	13	,	,	PUNCT
ejpam-5581	578	14	(	(	PUNCT
ejpam-5581	578	15	b	b	NOUN
ejpam-5581	578	16	)	)	PUNCT
ejpam-5581	578	17	br(p	br(p	PUNCT
ejpam-5581	578	18	)	)	PUNCT
ejpam-5581	578	19	,	,	PUNCT
ejpam-5581	578	20	(	(	PUNCT
ejpam-5581	578	21	c	c	X
ejpam-5581	578	22	)	)	PUNCT
ejpam-5581	578	23	ζ	ζ	NOUN
ejpam-5581	578	24	and	and	CCONJ
ejpam-5581	578	25	(	(	PUNCT
ejpam-5581	578	26	d	d	NOUN
ejpam-5581	578	27	)	)	PUNCT
ejpam-5581	578	28	ξ	ξ	NOUN
ejpam-5581	578	29	on	on	ADP
ejpam-5581	578	30	temperature	temperature	NOUN
ejpam-5581	578	31	t	t	NOUN
ejpam-5581	578	32	.	.	PUNCT
ejpam-5581	579	1	a.	a.	PROPN
ejpam-5581	579	2	alaidrous	alaidrous	PROPN
ejpam-5581	579	3	,	,	PUNCT
ejpam-5581	579	4	h.	h.	PROPN
ejpam-5581	579	5	ashraf	ashraf	PROPN
ejpam-5581	579	6	/	/	SYM
ejpam-5581	579	7	eur	eur	PROPN
ejpam-5581	579	8	.	.	PUNCT
ejpam-5581	580	1	j.	j.	PROPN
ejpam-5581	580	2	pure	pure	PROPN
ejpam-5581	580	3	appl	appl	PROPN
ejpam-5581	580	4	.	.	PROPN
ejpam-5581	580	5	math	math	PROPN
ejpam-5581	580	6	,	,	PUNCT
ejpam-5581	580	7	18	18	NUM
ejpam-5581	580	8	(	(	PUNCT
ejpam-5581	580	9	1	1	NUM
ejpam-5581	580	10	)	)	PUNCT
ejpam-5581	580	11	(	(	PUNCT
ejpam-5581	580	12	2025	2025	NUM
ejpam-5581	580	13	)	)	PUNCT
ejpam-5581	580	14	,	,	PUNCT
ejpam-5581	580	15	5581	5581	NUM
ejpam-5581	580	16	23	23	NUM
ejpam-5581	580	17	of	of	ADP
ejpam-5581	580	18	30	30	NUM
ejpam-5581	580	19	figure	figure	NOUN
ejpam-5581	580	20	6	6	NUM
ejpam-5581	580	21	:	:	PUNCT
ejpam-5581	580	22	the	the	DET
ejpam-5581	580	23	comparison	comparison	NOUN
ejpam-5581	580	24	between	between	ADP
ejpam-5581	580	25	the	the	DET
ejpam-5581	580	26	johnson	johnson	PROPN
ejpam-5581	580	27	-	-	PUNCT
ejpam-5581	580	28	segalman	segalman	PROPN
ejpam-5581	580	29	fluid	fluid	ADJ
ejpam-5581	580	30	and	and	CCONJ
ejpam-5581	580	31	newtonian	newtonian	ADJ
ejpam-5581	580	32	fluid	fluid	NOUN
ejpam-5581	580	33	for	for	ADP
ejpam-5581	580	34	temperature	temperature	NOUN
ejpam-5581	580	35	t	t	NOUN
ejpam-5581	580	36	.	.	PUNCT
ejpam-5581	581	1	4.3	4.3	NUM
ejpam-5581	581	2	.	.	PUNCT
ejpam-5581	581	3	concentration	concentration	NOUN
ejpam-5581	581	4	the	the	DET
ejpam-5581	581	5	variation	variation	NOUN
ejpam-5581	581	6	impacts	impact	NOUN
ejpam-5581	581	7	of	of	ADP
ejpam-5581	581	8	ea	ea	NUM
ejpam-5581	581	9	,	,	PUNCT
ejpam-5581	581	10	ep	ep	PROPN
ejpam-5581	581	11	,	,	PUNCT
ejpam-5581	581	12	(	(	PUNCT
ejpam-5581	581	13	we)(a	we)(a	PROPN
ejpam-5581	581	14	)	)	PUNCT
ejpam-5581	581	15	and	and	CCONJ
ejpam-5581	581	16	(	(	PUNCT
ejpam-5581	581	17	we)(p	we)(p	X
ejpam-5581	581	18	)	)	PUNCT
ejpam-5581	581	19	,	,	PUNCT
ejpam-5581	581	20	br(a	br(a	NUM
ejpam-5581	581	21	)	)	PUNCT
ejpam-5581	581	22	,	,	PUNCT
ejpam-5581	581	23	br(p	br(p	PUNCT
ejpam-5581	581	24	)	)	PUNCT
ejpam-5581	581	25	,	,	PUNCT
ejpam-5581	581	26	ξ	ξ	PROPN
ejpam-5581	581	27	,	,	PUNCT
ejpam-5581	581	28	π	π	PROPN
ejpam-5581	581	29	,	,	PUNCT
ejpam-5581	581	30	sh	sh	PROPN
ejpam-5581	581	31	and	and	CCONJ
ejpam-5581	581	32	st	st	PROPN
ejpam-5581	581	33	on	on	ADP
ejpam-5581	581	34	the	the	DET
ejpam-5581	581	35	acl	acl	PROPN
ejpam-5581	581	36	and	and	CCONJ
ejpam-5581	581	37	pcl	pcl	PROPN
ejpam-5581	581	38	concentrations	concentration	NOUN
ejpam-5581	581	39	are	be	AUX
ejpam-5581	581	40	plotted	plot	VERB
ejpam-5581	581	41	in	in	ADP
ejpam-5581	581	42	figs	fig	NOUN
ejpam-5581	581	43	.	.	PUNCT
ejpam-5581	582	1	7–9	7–9	X
ejpam-5581	582	2	.	.	PUNCT
ejpam-5581	583	1	the	the	DET
ejpam-5581	583	2	concentration	concentration	NOUN
ejpam-5581	583	3	decreases	decrease	VERB
ejpam-5581	583	4	as	as	SCONJ
ejpam-5581	583	5	the	the	DET
ejpam-5581	583	6	values	value	NOUN
ejpam-5581	583	7	of	of	ADP
ejpam-5581	583	8	ea	ea	NOUN
ejpam-5581	583	9	and	and	CCONJ
ejpam-5581	583	10	ep	ep	PROPN
ejpam-5581	583	11	tend	tend	VERB
ejpam-5581	583	12	to	to	PART
ejpam-5581	583	13	increment	increment	VERB
ejpam-5581	583	14	,	,	PUNCT
ejpam-5581	583	15	as	as	ADV
ejpam-5581	583	16	delineated	delineated	ADJ
ejpam-5581	583	17	in	in	ADP
ejpam-5581	583	18	figs	fig	NOUN
ejpam-5581	583	19	.	.	PUNCT
ejpam-5581	584	1	7(a	7(a	NUM
ejpam-5581	584	2	)	)	PUNCT
ejpam-5581	584	3	and	and	CCONJ
ejpam-5581	584	4	7(b	7(b	NUM
ejpam-5581	584	5	)	)	PUNCT
ejpam-5581	584	6	.	.	PUNCT
ejpam-5581	585	1	figs	fig	NOUN
ejpam-5581	585	2	.	.	PUNCT
ejpam-5581	586	1	7(c	7(c	NUM
ejpam-5581	586	2	)	)	PUNCT
ejpam-5581	586	3	and	and	CCONJ
ejpam-5581	586	4	7(d	7(d	X
ejpam-5581	586	5	)	)	PUNCT
ejpam-5581	586	6	elucidate	elucidate	VERB
ejpam-5581	586	7	how	how	SCONJ
ejpam-5581	586	8	(	(	PUNCT
ejpam-5581	586	9	we)(a	we)(a	PROPN
ejpam-5581	586	10	)	)	PUNCT
ejpam-5581	586	11	and	and	CCONJ
ejpam-5581	586	12	(	(	PUNCT
ejpam-5581	586	13	we)(p	we)(p	X
ejpam-5581	586	14	)	)	PUNCT
ejpam-5581	586	15	affect	affect	VERB
ejpam-5581	586	16	the	the	DET
ejpam-5581	586	17	concentrations	concentration	NOUN
ejpam-5581	586	18	of	of	ADP
ejpam-5581	586	19	acl	acl	PROPN
ejpam-5581	586	20	and	and	CCONJ
ejpam-5581	586	21	pcl	pcl	PROPN
ejpam-5581	586	22	,	,	PUNCT
ejpam-5581	586	23	respectively	respectively	ADV
ejpam-5581	586	24	.	.	PUNCT
ejpam-5581	587	1	these	these	DET
ejpam-5581	587	2	graphs	graph	NOUN
ejpam-5581	587	3	show	show	VERB
ejpam-5581	587	4	that	that	SCONJ
ejpam-5581	587	5	the	the	DET
ejpam-5581	587	6	concentration	concentration	NOUN
ejpam-5581	587	7	reduces	reduce	VERB
ejpam-5581	587	8	with	with	ADP
ejpam-5581	587	9	increasing	increase	VERB
ejpam-5581	587	10	(	(	PUNCT
ejpam-5581	587	11	we)(a	we)(a	PROPN
ejpam-5581	587	12	)	)	PUNCT
ejpam-5581	587	13	,	,	PUNCT
ejpam-5581	587	14	while	while	SCONJ
ejpam-5581	587	15	the	the	DET
ejpam-5581	587	16	concentration	concentration	NOUN
ejpam-5581	587	17	increases	increase	VERB
ejpam-5581	587	18	with	with	ADP
ejpam-5581	587	19	increasing	increase	VERB
ejpam-5581	587	20	(	(	PUNCT
ejpam-5581	587	21	we)(p	we)(p	PROPN
ejpam-5581	587	22	)	)	PUNCT
ejpam-5581	587	23	.	.	PUNCT
ejpam-5581	588	1	the	the	DET
ejpam-5581	588	2	behavior	behavior	NOUN
ejpam-5581	588	3	of	of	ADP
ejpam-5581	588	4	(	(	PUNCT
ejpam-5581	588	5	we)(a	we)(a	PROPN
ejpam-5581	588	6	)	)	PUNCT
ejpam-5581	588	7	and	and	CCONJ
ejpam-5581	588	8	(	(	PUNCT
ejpam-5581	588	9	we)(p	we)(p	X
ejpam-5581	588	10	)	)	PUNCT
ejpam-5581	588	11	can	can	AUX
ejpam-5581	588	12	be	be	AUX
ejpam-5581	588	13	associated	associate	VERB
ejpam-5581	588	14	with	with	ADP
ejpam-5581	588	15	the	the	DET
ejpam-5581	588	16	relaxation	relaxation	NOUN
ejpam-5581	588	17	time	time	NOUN
ejpam-5581	588	18	of	of	ADP
ejpam-5581	588	19	acl	acl	PROPN
ejpam-5581	588	20	and	and	CCONJ
ejpam-5581	588	21	pcl	pcl	PROPN
ejpam-5581	588	22	,	,	PUNCT
ejpam-5581	588	23	respectively	respectively	ADV
ejpam-5581	588	24	.	.	PUNCT
ejpam-5581	589	1	as	as	ADP
ejpam-5581	589	2	the	the	DET
ejpam-5581	589	3	acl	acl	PROPN
ejpam-5581	589	4	relaxation	relaxation	NOUN
ejpam-5581	589	5	time	time	NOUN
ejpam-5581	589	6	increases	increase	NOUN
ejpam-5581	589	7	,	,	PUNCT
ejpam-5581	589	8	the	the	DET
ejpam-5581	589	9	concentration	concentration	NOUN
ejpam-5581	589	10	reduces	reduce	VERB
ejpam-5581	589	11	.	.	PUNCT
ejpam-5581	590	1	conversely	conversely	ADV
ejpam-5581	590	2	,	,	PUNCT
ejpam-5581	590	3	pcl	pcl	PROPN
ejpam-5581	590	4	concentration	concentration	NOUN
ejpam-5581	590	5	increases	increase	VERB
ejpam-5581	590	6	with	with	ADP
ejpam-5581	590	7	increasing	increase	VERB
ejpam-5581	590	8	relaxing	relaxing	ADJ
ejpam-5581	590	9	time	time	NOUN
ejpam-5581	590	10	.	.	PUNCT
ejpam-5581	591	1	a.	a.	PROPN
ejpam-5581	591	2	alaidrous	alaidrous	PROPN
ejpam-5581	591	3	,	,	PUNCT
ejpam-5581	591	4	h.	h.	PROPN
ejpam-5581	591	5	ashraf	ashraf	PROPN
ejpam-5581	591	6	/	/	SYM
ejpam-5581	591	7	eur	eur	PROPN
ejpam-5581	591	8	.	.	PUNCT
ejpam-5581	592	1	j.	j.	PROPN
ejpam-5581	592	2	pure	pure	PROPN
ejpam-5581	592	3	appl	appl	PROPN
ejpam-5581	592	4	.	.	PROPN
ejpam-5581	592	5	math	math	PROPN
ejpam-5581	592	6	,	,	PUNCT
ejpam-5581	592	7	18	18	NUM
ejpam-5581	592	8	(	(	PUNCT
ejpam-5581	592	9	1	1	NUM
ejpam-5581	592	10	)	)	PUNCT
ejpam-5581	592	11	(	(	PUNCT
ejpam-5581	592	12	2025	2025	NUM
ejpam-5581	592	13	)	)	PUNCT
ejpam-5581	592	14	,	,	PUNCT
ejpam-5581	592	15	5581	5581	NUM
ejpam-5581	592	16	24	24	NUM
ejpam-5581	592	17	of	of	ADP
ejpam-5581	592	18	30	30	NUM
ejpam-5581	592	19	figure	figure	NOUN
ejpam-5581	592	20	7	7	NUM
ejpam-5581	592	21	:	:	PUNCT
ejpam-5581	592	22	the	the	DET
ejpam-5581	592	23	variation	variation	NOUN
ejpam-5581	592	24	impacts	impact	NOUN
ejpam-5581	592	25	of	of	ADP
ejpam-5581	592	26	(	(	PUNCT
ejpam-5581	592	27	a	a	PRON
ejpam-5581	592	28	)	)	PUNCT
ejpam-5581	592	29	ea	ea	NOUN
ejpam-5581	592	30	,	,	PUNCT
ejpam-5581	592	31	(	(	PUNCT
ejpam-5581	592	32	b	b	X
ejpam-5581	592	33	)	)	PUNCT
ejpam-5581	592	34	ep	ep	NOUN
ejpam-5581	592	35	,	,	PUNCT
ejpam-5581	592	36	(	(	PUNCT
ejpam-5581	592	37	c	c	X
ejpam-5581	592	38	)	)	PUNCT
ejpam-5581	592	39	(	(	PUNCT
ejpam-5581	592	40	we)(a	we)(a	PROPN
ejpam-5581	592	41	)	)	PUNCT
ejpam-5581	592	42	and	and	CCONJ
ejpam-5581	592	43	(	(	PUNCT
ejpam-5581	592	44	d	d	NOUN
ejpam-5581	592	45	)	)	PUNCT
ejpam-5581	592	46	(	(	PUNCT
ejpam-5581	592	47	we)(p	we)(p	X
ejpam-5581	592	48	)	)	PUNCT
ejpam-5581	592	49	on	on	ADP
ejpam-5581	592	50	concentration	concentration	NOUN
ejpam-5581	592	51	c.	c.	NOUN
ejpam-5581	592	52	figs	fig	NOUN
ejpam-5581	592	53	.	.	PUNCT
ejpam-5581	593	1	8(a	8(a	NUM
ejpam-5581	593	2	)	)	PUNCT
ejpam-5581	593	3	and	and	CCONJ
ejpam-5581	593	4	8(b	8(b	NUM
ejpam-5581	593	5	)	)	PUNCT
ejpam-5581	593	6	are	be	AUX
ejpam-5581	593	7	plotted	plot	VERB
ejpam-5581	593	8	to	to	PART
ejpam-5581	593	9	seek	seek	VERB
ejpam-5581	593	10	the	the	DET
ejpam-5581	593	11	impacts	impact	NOUN
ejpam-5581	593	12	of	of	ADP
ejpam-5581	593	13	br(a	br(a	NOUN
ejpam-5581	593	14	)	)	PUNCT
ejpam-5581	593	15	and	and	CCONJ
ejpam-5581	593	16	br(p	br(p	PUNCT
ejpam-5581	593	17	)	)	PUNCT
ejpam-5581	593	18	on	on	ADP
ejpam-5581	593	19	concentration	concentration	NOUN
ejpam-5581	593	20	.	.	PUNCT
ejpam-5581	594	1	it	it	PRON
ejpam-5581	594	2	is	be	AUX
ejpam-5581	594	3	delineated	delineate	VERB
ejpam-5581	594	4	that	that	SCONJ
ejpam-5581	594	5	by	by	ADP
ejpam-5581	594	6	the	the	DET
ejpam-5581	594	7	increase	increase	NOUN
ejpam-5581	594	8	of	of	ADP
ejpam-5581	594	9	br(a	br(a	NOUN
ejpam-5581	594	10	)	)	PUNCT
ejpam-5581	594	11	,	,	PUNCT
ejpam-5581	594	12	the	the	DET
ejpam-5581	594	13	concentration	concentration	NOUN
ejpam-5581	594	14	increases	increase	VERB
ejpam-5581	594	15	minutely	minutely	ADV
ejpam-5581	594	16	,	,	PUNCT
ejpam-5581	594	17	whereas	whereas	SCONJ
ejpam-5581	594	18	by	by	ADP
ejpam-5581	594	19	the	the	DET
ejpam-5581	594	20	increase	increase	NOUN
ejpam-5581	594	21	of	of	ADP
ejpam-5581	594	22	br(p	br(p	PUNCT
ejpam-5581	594	23	)	)	PUNCT
ejpam-5581	594	24	,	,	PUNCT
ejpam-5581	594	25	the	the	DET
ejpam-5581	594	26	concentration	concentration	NOUN
ejpam-5581	594	27	decreases	decrease	VERB
ejpam-5581	594	28	.	.	PUNCT
ejpam-5581	595	1	since	since	SCONJ
ejpam-5581	595	2	br(k	br(k	NOUN
ejpam-5581	595	3	)	)	PUNCT
ejpam-5581	595	4	is	be	AUX
ejpam-5581	595	5	directly	directly	ADV
ejpam-5581	595	6	proportional	proportional	ADJ
ejpam-5581	595	7	to	to	ADP
ejpam-5581	595	8	viscous	viscous	ADJ
ejpam-5581	595	9	dissipation	dissipation	NOUN
ejpam-5581	595	10	and	and	CCONJ
ejpam-5581	595	11	inversely	inversely	ADV
ejpam-5581	595	12	proportional	proportional	ADJ
ejpam-5581	595	13	to	to	ADP
ejpam-5581	595	14	thermal	thermal	ADJ
ejpam-5581	595	15	diffusion	diffusion	NOUN
ejpam-5581	595	16	rate	rate	NOUN
ejpam-5581	595	17	.	.	PUNCT
ejpam-5581	596	1	at	at	ADP
ejpam-5581	596	2	this	this	PRON
ejpam-5581	596	3	,	,	PUNCT
ejpam-5581	596	4	we	we	PRON
ejpam-5581	596	5	can	can	AUX
ejpam-5581	596	6	add	add	VERB
ejpam-5581	596	7	that	that	SCONJ
ejpam-5581	596	8	with	with	SCONJ
ejpam-5581	596	9	the	the	DET
ejpam-5581	596	10	increment	increment	NOUN
ejpam-5581	596	11	in	in	ADP
ejpam-5581	596	12	viscous	viscous	ADJ
ejpam-5581	596	13	dissipation	dissipation	NOUN
ejpam-5581	596	14	of	of	ADP
ejpam-5581	596	15	acl	acl	PROPN
ejpam-5581	596	16	,	,	PUNCT
ejpam-5581	596	17	the	the	DET
ejpam-5581	596	18	concentration	concentration	NOUN
ejpam-5581	596	19	increases	increase	NOUN
ejpam-5581	596	20	,	,	PUNCT
ejpam-5581	596	21	and	and	CCONJ
ejpam-5581	596	22	with	with	ADP
ejpam-5581	596	23	the	the	DET
ejpam-5581	596	24	increment	increment	NOUN
ejpam-5581	596	25	in	in	ADP
ejpam-5581	596	26	thermal	thermal	ADJ
ejpam-5581	596	27	diffusion	diffusion	NOUN
ejpam-5581	596	28	rate	rate	NOUN
ejpam-5581	596	29	,	,	PUNCT
ejpam-5581	596	30	the	the	DET
ejpam-5581	596	31	concentration	concentration	NOUN
ejpam-5581	596	32	decreases	decrease	VERB
ejpam-5581	596	33	.	.	PUNCT
ejpam-5581	597	1	the	the	DET
ejpam-5581	597	2	reciprocal	reciprocal	ADJ
ejpam-5581	597	3	impacts	impact	NOUN
ejpam-5581	597	4	of	of	ADP
ejpam-5581	597	5	thermal	thermal	ADJ
ejpam-5581	597	6	diffusion	diffusion	NOUN
ejpam-5581	597	7	rate	rate	NOUN
ejpam-5581	597	8	and	and	CCONJ
ejpam-5581	597	9	viscous	viscous	ADJ
ejpam-5581	597	10	dissipation	dissipation	NOUN
ejpam-5581	597	11	rate	rate	NOUN
ejpam-5581	597	12	of	of	ADP
ejpam-5581	597	13	pcl	pcl	PROPN
ejpam-5581	597	14	are	be	AUX
ejpam-5581	597	15	observed	observe	VERB
ejpam-5581	597	16	.	.	PUNCT
ejpam-5581	598	1	fig	fig	NOUN
ejpam-5581	598	2	.	.	PUNCT
ejpam-5581	599	1	8(c	8(c	NUM
ejpam-5581	599	2	)	)	PUNCT
ejpam-5581	599	3	illustrates	illustrate	VERB
ejpam-5581	599	4	the	the	DET
ejpam-5581	599	5	effects	effect	NOUN
ejpam-5581	599	6	of	of	ADP
ejpam-5581	599	7	ξ	ξ	PROPN
ejpam-5581	599	8	on	on	ADP
ejpam-5581	599	9	concentration	concentration	NOUN
ejpam-5581	599	10	.	.	PUNCT
ejpam-5581	600	1	from	from	ADP
ejpam-5581	600	2	this	this	DET
ejpam-5581	600	3	figure	figure	NOUN
ejpam-5581	600	4	,	,	PUNCT
ejpam-5581	600	5	one	one	NUM
ejpam-5581	600	6	perceived	perceive	VERB
ejpam-5581	600	7	that	that	SCONJ
ejpam-5581	600	8	the	the	DET
ejpam-5581	600	9	concentration	concentration	NOUN
ejpam-5581	600	10	decreases	decrease	VERB
ejpam-5581	600	11	with	with	ADP
ejpam-5581	600	12	an	an	DET
ejpam-5581	600	13	increase	increase	NOUN
ejpam-5581	600	14	in	in	ADP
ejpam-5581	600	15	ξ	ξ	NOUN
ejpam-5581	600	16	—	—	PUNCT
ejpam-5581	600	17	moreover	moreover	ADV
ejpam-5581	600	18	,	,	PUNCT
ejpam-5581	600	19	the	the	PRON
ejpam-5581	600	20	more	more	ADV
ejpam-5581	600	21	the	the	DET
ejpam-5581	600	22	pressure	pressure	NOUN
ejpam-5581	600	23	gradient	gradient	NOUN
ejpam-5581	600	24	value	value	NOUN
ejpam-5581	600	25	at	at	ADP
ejpam-5581	600	26	the	the	DET
ejpam-5581	600	27	airway	airway	NOUN
ejpam-5581	600	28	entrance	entrance	NOUN
ejpam-5581	600	29	,	,	PUNCT
ejpam-5581	600	30	the	the	PRON
ejpam-5581	600	31	lesser	less	ADJ
ejpam-5581	600	32	the	the	DET
ejpam-5581	600	33	concentration	concentration	NOUN
ejpam-5581	600	34	.	.	PUNCT
ejpam-5581	601	1	fig	fig	NOUN
ejpam-5581	601	2	.	.	PUNCT
ejpam-5581	602	1	8(d	8(d	NUM
ejpam-5581	602	2	)	)	PUNCT
ejpam-5581	602	3	illustrates	illustrate	VERB
ejpam-5581	602	4	that	that	SCONJ
ejpam-5581	602	5	the	the	DET
ejpam-5581	602	6	concentration	concentration	NOUN
ejpam-5581	602	7	also	also	ADV
ejpam-5581	602	8	rises	rise	VERB
ejpam-5581	602	9	as	as	ADP
ejpam-5581	602	10	the	the	DET
ejpam-5581	602	11	value	value	NOUN
ejpam-5581	602	12	of	of	ADP
ejpam-5581	602	13	π	π	PROPN
ejpam-5581	602	14	increases	increase	NOUN
ejpam-5581	602	15	.	.	PUNCT
ejpam-5581	603	1	as	as	SCONJ
ejpam-5581	603	2	π	π	PROPN
ejpam-5581	603	3	represents	represent	VERB
ejpam-5581	603	4	the	the	DET
ejpam-5581	603	5	quotient	quotient	NOUN
ejpam-5581	603	6	of	of	ADP
ejpam-5581	603	7	d	d	PROPN
ejpam-5581	603	8	(	(	PUNCT
ejpam-5581	603	9	a	a	NOUN
ejpam-5581	603	10	)	)	PUNCT
ejpam-5581	603	11	b	b	NOUN
ejpam-5581	603	12	and	and	CCONJ
ejpam-5581	603	13	d	d	NOUN
ejpam-5581	603	14	(	(	PUNCT
ejpam-5581	603	15	p	p	NOUN
ejpam-5581	603	16	)	)	PUNCT
ejpam-5581	603	17	b	b	NOUN
ejpam-5581	603	18	.	.	PUNCT
ejpam-5581	604	1	it	it	PRON
ejpam-5581	604	2	can	can	AUX
ejpam-5581	604	3	be	be	AUX
ejpam-5581	604	4	said	say	VERB
ejpam-5581	604	5	that	that	SCONJ
ejpam-5581	604	6	π	π	PROPN
ejpam-5581	604	7	is	be	AUX
ejpam-5581	604	8	directly	directly	ADV
ejpam-5581	604	9	proportional	proportional	ADJ
ejpam-5581	604	10	to	to	ADP
ejpam-5581	604	11	d	d	PROPN
ejpam-5581	604	12	(	(	PUNCT
ejpam-5581	604	13	a	a	NOUN
ejpam-5581	604	14	)	)	PUNCT
ejpam-5581	604	15	b	b	NOUN
ejpam-5581	604	16	and	and	CCONJ
ejpam-5581	604	17	inversely	inversely	ADV
ejpam-5581	604	18	proportional	proportional	ADJ
ejpam-5581	604	19	to	to	ADP
ejpam-5581	604	20	d	d	PROPN
ejpam-5581	604	21	(	(	PUNCT
ejpam-5581	604	22	p	p	NOUN
ejpam-5581	604	23	)	)	PUNCT
ejpam-5581	604	24	b	b	NOUN
ejpam-5581	604	25	.	.	PUNCT
ejpam-5581	605	1	the	the	DET
ejpam-5581	605	2	decrease	decrease	NOUN
ejpam-5581	605	3	in	in	ADP
ejpam-5581	605	4	diffusivity	diffusivity	NOUN
ejpam-5581	605	5	of	of	ADP
ejpam-5581	605	6	the	the	DET
ejpam-5581	605	7	fluid	fluid	NOUN
ejpam-5581	605	8	is	be	AUX
ejpam-5581	605	9	the	the	DET
ejpam-5581	605	10	cause	cause	NOUN
ejpam-5581	605	11	of	of	ADP
ejpam-5581	605	12	the	the	DET
ejpam-5581	605	13	increase	increase	NOUN
ejpam-5581	605	14	in	in	ADP
ejpam-5581	605	15	concentration	concentration	NOUN
ejpam-5581	605	16	.	.	PUNCT
ejpam-5581	606	1	decreased	decrease	VERB
ejpam-5581	606	2	diffusivity	diffusivity	NOUN
ejpam-5581	606	3	generally	generally	ADV
ejpam-5581	606	4	leads	lead	VERB
ejpam-5581	606	5	to	to	ADP
ejpam-5581	606	6	reduced	reduced	ADJ
ejpam-5581	606	7	mixing	mixing	NOUN
ejpam-5581	606	8	and	and	CCONJ
ejpam-5581	606	9	slower	slow	ADJ
ejpam-5581	606	10	diffusion	diffusion	NOUN
ejpam-5581	606	11	,	,	PUNCT
ejpam-5581	606	12	resulting	result	VERB
ejpam-5581	606	13	in	in	ADP
ejpam-5581	606	14	a	a	DET
ejpam-5581	606	15	less	less	ADV
ejpam-5581	606	16	complete	complete	ADJ
ejpam-5581	606	17	mixing	mixing	NOUN
ejpam-5581	606	18	of	of	ADP
ejpam-5581	606	19	the	the	DET
ejpam-5581	606	20	material	material	NOUN
ejpam-5581	606	21	and	and	CCONJ
ejpam-5581	606	22	increased	increase	VERB
ejpam-5581	606	23	concentration	concentration	NOUN
ejpam-5581	606	24	.	.	PUNCT
ejpam-5581	607	1	the	the	DET
ejpam-5581	607	2	concentration	concentration	NOUN
ejpam-5581	607	3	tends	tend	VERB
ejpam-5581	607	4	to	to	PART
ejpam-5581	607	5	decrease	decrease	VERB
ejpam-5581	607	6	when	when	SCONJ
ejpam-5581	607	7	the	the	DET
ejpam-5581	607	8	values	value	NOUN
ejpam-5581	607	9	of	of	ADP
ejpam-5581	607	10	sh	sh	PROPN
ejpam-5581	607	11	and	and	CCONJ
ejpam-5581	607	12	st	st	PROPN
ejpam-5581	607	13	increase	increase	NOUN
ejpam-5581	607	14	,	,	PUNCT
ejpam-5581	607	15	as	as	SCONJ
ejpam-5581	607	16	observed	observe	VERB
ejpam-5581	607	17	in	in	ADP
ejpam-5581	607	18	figs	fig	NOUN
ejpam-5581	607	19	.	.	PUNCT
ejpam-5581	608	1	9(a	9(a	X
ejpam-5581	608	2	)	)	PUNCT
ejpam-5581	608	3	and	and	CCONJ
ejpam-5581	608	4	9(b	9(b	NUM
ejpam-5581	608	5	)	)	PUNCT
ejpam-5581	608	6	.	.	PUNCT
ejpam-5581	609	1	an	an	DET
ejpam-5581	609	2	increased	increase	VERB
ejpam-5581	609	3	value	value	NOUN
ejpam-5581	609	4	of	of	ADP
ejpam-5581	609	5	sh	sh	PROPN
ejpam-5581	609	6	elucidates	elucidate	VERB
ejpam-5581	609	7	that	that	SCONJ
ejpam-5581	609	8	the	the	DET
ejpam-5581	609	9	mass	mass	ADJ
ejpam-5581	609	10	diffusivity	diffusivity	NOUN
ejpam-5581	609	11	is	be	AUX
ejpam-5581	609	12	lower	low	ADJ
ejpam-5581	609	13	than	than	ADP
ejpam-5581	609	14	the	the	DET
ejpam-5581	609	15	viscosity	viscosity	NOUN
ejpam-5581	609	16	,	,	PUNCT
ejpam-5581	609	17	leading	lead	VERB
ejpam-5581	609	18	to	to	ADP
ejpam-5581	609	19	higher	high	ADJ
ejpam-5581	609	20	solute	solute	NOUN
ejpam-5581	609	21	concentration	concentration	NOUN
ejpam-5581	609	22	and	and	CCONJ
ejpam-5581	609	23	reduced	reduced	ADJ
ejpam-5581	609	24	diffusion	diffusion	NOUN
ejpam-5581	609	25	within	within	ADP
ejpam-5581	609	26	the	the	DET
ejpam-5581	609	27	mucus	mucus	NOUN
ejpam-5581	609	28	.	.	PUNCT
ejpam-5581	610	1	a	a	DET
ejpam-5581	610	2	significant	significant	ADJ
ejpam-5581	610	3	st	st	NOUN
ejpam-5581	610	4	suggests	suggest	VERB
ejpam-5581	610	5	that	that	SCONJ
ejpam-5581	610	6	temperature	temperature	NOUN
ejpam-5581	610	7	gradients	gradient	NOUN
ejpam-5581	610	8	promote	promote	VERB
ejpam-5581	610	9	solute	solute	NOUN
ejpam-5581	610	10	transport	transport	NOUN
ejpam-5581	610	11	,	,	PUNCT
ejpam-5581	610	12	which	which	PRON
ejpam-5581	610	13	affects	affect	VERB
ejpam-5581	610	14	mucus	mucus	NOUN
ejpam-5581	610	15	concentration	concentration	NOUN
ejpam-5581	610	16	.	.	PUNCT
ejpam-5581	611	1	these	these	DET
ejpam-5581	611	2	parameters	parameter	NOUN
ejpam-5581	611	3	depict	depict	VERB
ejpam-5581	611	4	the	the	DET
ejpam-5581	611	5	distribution	distribution	NOUN
ejpam-5581	611	6	and	and	CCONJ
ejpam-5581	611	7	movement	movement	NOUN
ejpam-5581	611	8	of	of	ADP
ejpam-5581	611	9	solutes	solute	NOUN
ejpam-5581	611	10	throughout	throughout	ADP
ejpam-5581	611	11	the	the	DET
ejpam-5581	611	12	mucus	mucus	NOUN
ejpam-5581	611	13	layers	layer	NOUN
ejpam-5581	611	14	,	,	PUNCT
ejpam-5581	611	15	ultimately	ultimately	ADV
ejpam-5581	611	16	influencing	influence	VERB
ejpam-5581	611	17	the	the	DET
ejpam-5581	611	18	effectiveness	effectiveness	NOUN
ejpam-5581	611	19	a.	a.	NOUN
ejpam-5581	611	20	alaidrous	alaidrous	PROPN
ejpam-5581	611	21	,	,	PUNCT
ejpam-5581	611	22	h.	h.	PROPN
ejpam-5581	611	23	ashraf	ashraf	PROPN
ejpam-5581	611	24	/	/	SYM
ejpam-5581	611	25	eur	eur	PROPN
ejpam-5581	611	26	.	.	PUNCT
ejpam-5581	612	1	j.	j.	PROPN
ejpam-5581	612	2	pure	pure	PROPN
ejpam-5581	612	3	appl	appl	PROPN
ejpam-5581	612	4	.	.	PROPN
ejpam-5581	612	5	math	math	PROPN
ejpam-5581	612	6	,	,	PUNCT
ejpam-5581	612	7	18	18	NUM
ejpam-5581	612	8	(	(	PUNCT
ejpam-5581	612	9	1	1	NUM
ejpam-5581	612	10	)	)	PUNCT
ejpam-5581	612	11	(	(	PUNCT
ejpam-5581	612	12	2025	2025	NUM
ejpam-5581	612	13	)	)	PUNCT
ejpam-5581	612	14	,	,	PUNCT
ejpam-5581	612	15	5581	5581	NUM
ejpam-5581	612	16	25	25	NUM
ejpam-5581	612	17	of	of	ADP
ejpam-5581	612	18	30	30	NUM
ejpam-5581	612	19	of	of	ADP
ejpam-5581	612	20	mucociliary	mucociliary	ADJ
ejpam-5581	612	21	clearance	clearance	NOUN
ejpam-5581	612	22	.	.	PUNCT
ejpam-5581	613	1	fig	fig	NOUN
ejpam-5581	613	2	.	.	PUNCT
ejpam-5581	614	1	9(c	9(c	NUM
ejpam-5581	614	2	)	)	PUNCT
ejpam-5581	614	3	compares	compare	VERB
ejpam-5581	614	4	the	the	DET
ejpam-5581	614	5	concentration	concentration	NOUN
ejpam-5581	614	6	levels	level	NOUN
ejpam-5581	614	7	between	between	ADP
ejpam-5581	614	8	johnsonsegalman	johnsonsegalman	NOUN
ejpam-5581	614	9	and	and	CCONJ
ejpam-5581	614	10	newtonian	newtonian	ADJ
ejpam-5581	614	11	fluids	fluid	NOUN
ejpam-5581	614	12	.	.	PUNCT
ejpam-5581	615	1	it	it	PRON
ejpam-5581	615	2	indicates	indicate	VERB
ejpam-5581	615	3	that	that	SCONJ
ejpam-5581	615	4	when	when	SCONJ
ejpam-5581	615	5	the	the	DET
ejpam-5581	615	6	mucus	mucus	NOUN
ejpam-5581	615	7	is	be	AUX
ejpam-5581	615	8	characterized	characterize	VERB
ejpam-5581	615	9	as	as	ADP
ejpam-5581	615	10	a	a	DET
ejpam-5581	615	11	johnson	johnson	PROPN
ejpam-5581	615	12	-	-	PUNCT
ejpam-5581	615	13	segalman	segalman	NOUN
ejpam-5581	615	14	fluid	fluid	NOUN
ejpam-5581	615	15	,	,	PUNCT
ejpam-5581	615	16	the	the	DET
ejpam-5581	615	17	concentration	concentration	NOUN
ejpam-5581	615	18	exceeds	exceed	VERB
ejpam-5581	615	19	that	that	PRON
ejpam-5581	615	20	of	of	ADP
ejpam-5581	615	21	the	the	DET
ejpam-5581	615	22	newtonian	newtonian	ADJ
ejpam-5581	615	23	fluid	fluid	NOUN
ejpam-5581	615	24	.	.	PUNCT
ejpam-5581	616	1	figure	figure	NOUN
ejpam-5581	616	2	8	8	NUM
ejpam-5581	616	3	:	:	PUNCT
ejpam-5581	616	4	the	the	DET
ejpam-5581	616	5	variation	variation	NOUN
ejpam-5581	616	6	impacts	impact	NOUN
ejpam-5581	616	7	of	of	ADP
ejpam-5581	616	8	(	(	PUNCT
ejpam-5581	616	9	a	a	X
ejpam-5581	616	10	)	)	PUNCT
ejpam-5581	616	11	br(a	br(a	NUM
ejpam-5581	616	12	)	)	PUNCT
ejpam-5581	616	13	,	,	PUNCT
ejpam-5581	616	14	(	(	PUNCT
ejpam-5581	616	15	b	b	NOUN
ejpam-5581	616	16	)	)	PUNCT
ejpam-5581	616	17	br(p	br(p	PUNCT
ejpam-5581	616	18	)	)	PUNCT
ejpam-5581	616	19	,	,	PUNCT
ejpam-5581	616	20	(	(	PUNCT
ejpam-5581	616	21	c	c	X
ejpam-5581	616	22	)	)	PUNCT
ejpam-5581	616	23	ξ	ξ	PROPN
ejpam-5581	616	24	and	and	CCONJ
ejpam-5581	616	25	(	(	PUNCT
ejpam-5581	616	26	d	d	X
ejpam-5581	616	27	)	)	PUNCT
ejpam-5581	616	28	π	π	NOUN
ejpam-5581	616	29	on	on	ADP
ejpam-5581	616	30	concentration	concentration	NOUN
ejpam-5581	616	31	c.	c.	PROPN
ejpam-5581	616	32	a.	a.	PROPN
ejpam-5581	616	33	alaidrous	alaidrous	PROPN
ejpam-5581	616	34	,	,	PUNCT
ejpam-5581	616	35	h.	h.	PROPN
ejpam-5581	616	36	ashraf	ashraf	PROPN
ejpam-5581	616	37	/	/	SYM
ejpam-5581	616	38	eur	eur	PROPN
ejpam-5581	616	39	.	.	PUNCT
ejpam-5581	617	1	j.	j.	PROPN
ejpam-5581	617	2	pure	pure	PROPN
ejpam-5581	617	3	appl	appl	PROPN
ejpam-5581	617	4	.	.	PROPN
ejpam-5581	617	5	math	math	PROPN
ejpam-5581	617	6	,	,	PUNCT
ejpam-5581	617	7	18	18	NUM
ejpam-5581	617	8	(	(	PUNCT
ejpam-5581	617	9	1	1	NUM
ejpam-5581	617	10	)	)	PUNCT
ejpam-5581	617	11	(	(	PUNCT
ejpam-5581	617	12	2025	2025	NUM
ejpam-5581	617	13	)	)	PUNCT
ejpam-5581	617	14	,	,	PUNCT
ejpam-5581	617	15	5581	5581	NUM
ejpam-5581	617	16	26	26	NUM
ejpam-5581	617	17	of	of	ADP
ejpam-5581	617	18	30	30	NUM
ejpam-5581	617	19	figure	figure	NOUN
ejpam-5581	617	20	9	9	NUM
ejpam-5581	617	21	:	:	PUNCT
ejpam-5581	617	22	the	the	DET
ejpam-5581	617	23	variation	variation	NOUN
ejpam-5581	617	24	impacts	impact	NOUN
ejpam-5581	617	25	of	of	ADP
ejpam-5581	617	26	(	(	PUNCT
ejpam-5581	617	27	a	a	X
ejpam-5581	617	28	)	)	PUNCT
ejpam-5581	617	29	sh	sh	PROPN
ejpam-5581	617	30	and	and	CCONJ
ejpam-5581	617	31	(	(	PUNCT
ejpam-5581	617	32	b	b	X
ejpam-5581	617	33	)	)	PUNCT
ejpam-5581	617	34	st	st	NOUN
ejpam-5581	617	35	on	on	ADP
ejpam-5581	617	36	concentration	concentration	NOUN
ejpam-5581	617	37	c	c	PROPN
ejpam-5581	617	38	and	and	CCONJ
ejpam-5581	617	39	(	(	PUNCT
ejpam-5581	617	40	c	c	NOUN
ejpam-5581	617	41	)	)	PUNCT
ejpam-5581	617	42	comparison	comparison	NOUN
ejpam-5581	617	43	between	between	ADP
ejpam-5581	617	44	the	the	DET
ejpam-5581	617	45	johnson	johnson	PROPN
ejpam-5581	617	46	-	-	PUNCT
ejpam-5581	617	47	segalman	segalman	PROPN
ejpam-5581	617	48	fluid	fluid	ADJ
ejpam-5581	617	49	and	and	CCONJ
ejpam-5581	617	50	newtonian	newtonian	ADJ
ejpam-5581	617	51	fluid	fluid	NOUN
ejpam-5581	617	52	for	for	ADP
ejpam-5581	617	53	concentration	concentration	NOUN
ejpam-5581	617	54	c.	c.	NOUN
ejpam-5581	617	55	5	5	NUM
ejpam-5581	617	56	.	.	PUNCT
ejpam-5581	618	1	concluding	conclude	VERB
ejpam-5581	618	2	remarks	remark	VERB
ejpam-5581	618	3	the	the	DET
ejpam-5581	618	4	present	present	ADJ
ejpam-5581	618	5	prospective	prospective	ADJ
ejpam-5581	618	6	analysis	analysis	NOUN
ejpam-5581	618	7	has	have	AUX
ejpam-5581	618	8	been	be	AUX
ejpam-5581	618	9	conducted	conduct	VERB
ejpam-5581	618	10	to	to	PART
ejpam-5581	618	11	theoretically	theoretically	ADV
ejpam-5581	618	12	investigate	investigate	VERB
ejpam-5581	618	13	the	the	DET
ejpam-5581	618	14	thermal	thermal	ADJ
ejpam-5581	618	15	and	and	CCONJ
ejpam-5581	618	16	concentration	concentration	NOUN
ejpam-5581	618	17	aspects	aspect	NOUN
ejpam-5581	618	18	of	of	ADP
ejpam-5581	618	19	human	human	ADJ
ejpam-5581	618	20	airways	airway	NOUN
ejpam-5581	618	21	using	use	VERB
ejpam-5581	618	22	the	the	DET
ejpam-5581	618	23	mathematical	mathematical	ADJ
ejpam-5581	618	24	model	model	NOUN
ejpam-5581	618	25	of	of	ADP
ejpam-5581	618	26	twolayered	twolayere	VERB
ejpam-5581	618	27	mucociliary	mucociliary	NOUN
ejpam-5581	618	28	transport	transport	NOUN
ejpam-5581	618	29	.	.	PUNCT
ejpam-5581	619	1	the	the	DET
ejpam-5581	619	2	model	model	NOUN
ejpam-5581	619	3	has	have	AUX
ejpam-5581	619	4	used	use	VERB
ejpam-5581	619	5	the	the	DET
ejpam-5581	619	6	scenario	scenario	NOUN
ejpam-5581	619	7	of	of	ADP
ejpam-5581	619	8	mucus	mucus	NOUN
ejpam-5581	619	9	hypersecretion	hypersecretion	NOUN
ejpam-5581	619	10	in	in	ADP
ejpam-5581	619	11	copd	copd	NOUN
ejpam-5581	619	12	.	.	PUNCT
ejpam-5581	620	1	the	the	DET
ejpam-5581	620	2	johnson	johnson	PROPN
ejpam-5581	620	3	-	-	PUNCT
ejpam-5581	620	4	segalman	segalman	ADJ
ejpam-5581	620	5	fluid	fluid	NOUN
ejpam-5581	620	6	model	model	NOUN
ejpam-5581	620	7	has	have	AUX
ejpam-5581	620	8	characterized	characterize	VERB
ejpam-5581	620	9	the	the	DET
ejpam-5581	620	10	viscoelastic	viscoelastic	ADJ
ejpam-5581	620	11	nature	nature	NOUN
ejpam-5581	620	12	of	of	ADP
ejpam-5581	620	13	secreted	secrete	VERB
ejpam-5581	620	14	mucus	mucus	NOUN
ejpam-5581	620	15	within	within	ADP
ejpam-5581	620	16	the	the	DET
ejpam-5581	620	17	airway	airway	NOUN
ejpam-5581	620	18	channel	channel	NOUN
ejpam-5581	620	19	lumen	luman	NOUN
ejpam-5581	620	20	.	.	PUNCT
ejpam-5581	621	1	the	the	DET
ejpam-5581	621	2	subsequent	subsequent	ADJ
ejpam-5581	621	3	set	set	NOUN
ejpam-5581	621	4	of	of	ADP
ejpam-5581	621	5	nonlinear	nonlinear	ADJ
ejpam-5581	621	6	pdes	pde	NOUN
ejpam-5581	621	7	has	have	AUX
ejpam-5581	621	8	been	be	AUX
ejpam-5581	621	9	first	first	ADV
ejpam-5581	621	10	simplified	simplify	VERB
ejpam-5581	621	11	using	use	VERB
ejpam-5581	621	12	the	the	DET
ejpam-5581	621	13	theory	theory	NOUN
ejpam-5581	621	14	of	of	ADP
ejpam-5581	621	15	lubrication	lubrication	NOUN
ejpam-5581	621	16	approximation	approximation	NOUN
ejpam-5581	621	17	.	.	PUNCT
ejpam-5581	622	1	the	the	DET
ejpam-5581	622	2	adm	adm	PROPN
ejpam-5581	622	3	was	be	AUX
ejpam-5581	622	4	then	then	ADV
ejpam-5581	622	5	used	use	VERB
ejpam-5581	622	6	to	to	PART
ejpam-5581	622	7	solve	solve	VERB
ejpam-5581	622	8	subsequent	subsequent	ADJ
ejpam-5581	622	9	pdes	pde	NOUN
ejpam-5581	622	10	in	in	ADP
ejpam-5581	622	11	series	series	NOUN
ejpam-5581	622	12	form	form	VERB
ejpam-5581	622	13	up	up	ADP
ejpam-5581	622	14	to	to	ADP
ejpam-5581	622	15	the	the	DET
ejpam-5581	622	16	second	second	ADJ
ejpam-5581	622	17	-	-	PUNCT
ejpam-5581	622	18	order	order	NOUN
ejpam-5581	622	19	.	.	PUNCT
ejpam-5581	623	1	velocity	velocity	NOUN
ejpam-5581	623	2	,	,	PUNCT
ejpam-5581	623	3	temperature	temperature	NOUN
ejpam-5581	623	4	,	,	PUNCT
ejpam-5581	623	5	and	and	CCONJ
ejpam-5581	623	6	concentration	concentration	NOUN
ejpam-5581	623	7	have	have	AUX
ejpam-5581	623	8	been	be	AUX
ejpam-5581	623	9	used	use	VERB
ejpam-5581	623	10	as	as	ADP
ejpam-5581	623	11	flow	flow	NOUN
ejpam-5581	623	12	variables	variable	NOUN
ejpam-5581	623	13	to	to	PART
ejpam-5581	623	14	characterize	characterize	VERB
ejpam-5581	623	15	mucociliary	mucociliary	NOUN
ejpam-5581	623	16	transport	transport	NOUN
ejpam-5581	623	17	.	.	PUNCT
ejpam-5581	624	1	the	the	DET
ejpam-5581	624	2	variation	variation	NOUN
ejpam-5581	624	3	impact	impact	NOUN
ejpam-5581	624	4	of	of	ADP
ejpam-5581	624	5	the	the	DET
ejpam-5581	624	6	parameters	parameter	NOUN
ejpam-5581	624	7	of	of	ADP
ejpam-5581	624	8	interest	interest	NOUN
ejpam-5581	624	9	like	like	ADP
ejpam-5581	624	10	slip	slip	NOUN
ejpam-5581	624	11	parameters	parameter	NOUN
ejpam-5581	624	12	(	(	PUNCT
ejpam-5581	624	13	ea	ea	NUM
ejpam-5581	624	14	and	and	CCONJ
ejpam-5581	624	15	ep	ep	PROPN
ejpam-5581	624	16	)	)	PUNCT
ejpam-5581	624	17	,	,	PUNCT
ejpam-5581	624	18	weissenberg	weissenberg	NOUN
ejpam-5581	624	19	numbers	number	NOUN
ejpam-5581	624	20	(	(	PUNCT
ejpam-5581	624	21	(	(	PUNCT
ejpam-5581	624	22	we)(a	we)(a	PROPN
ejpam-5581	624	23	)	)	PUNCT
ejpam-5581	624	24	and	and	CCONJ
ejpam-5581	624	25	(	(	PUNCT
ejpam-5581	624	26	we)(p	we)(p	PROPN
ejpam-5581	624	27	)	)	PUNCT
ejpam-5581	624	28	)	)	PUNCT
ejpam-5581	624	29	,	,	PUNCT
ejpam-5581	624	30	brinkmann	brinkmann	PROPN
ejpam-5581	624	31	numbers	number	NOUN
ejpam-5581	624	32	(	(	PUNCT
ejpam-5581	624	33	br(a	br(a	X
ejpam-5581	624	34	)	)	PUNCT
ejpam-5581	624	35	and	and	CCONJ
ejpam-5581	624	36	br(p	br(p	PUNCT
ejpam-5581	624	37	)	)	PUNCT
ejpam-5581	624	38	)	)	PUNCT
ejpam-5581	624	39	,	,	PUNCT
ejpam-5581	624	40	pressure	pressure	NOUN
ejpam-5581	624	41	gradient	gradient	NOUN
ejpam-5581	624	42	at	at	ADP
ejpam-5581	624	43	the	the	DET
ejpam-5581	624	44	airway	airway	NOUN
ejpam-5581	624	45	channel	channel	NOUN
ejpam-5581	624	46	entrance	entrance	PROPN
ejpam-5581	624	47	ξ	ξ	PROPN
ejpam-5581	624	48	,	,	PUNCT
ejpam-5581	624	49	conductivity	conductivity	NOUN
ejpam-5581	624	50	ratio	ratio	NOUN
ejpam-5581	624	51	ζ	ζ	NOUN
ejpam-5581	624	52	,	,	PUNCT
ejpam-5581	624	53	mass	mass	ADJ
ejpam-5581	624	54	diffusivity	diffusivity	NOUN
ejpam-5581	624	55	ratio	ratio	NOUN
ejpam-5581	624	56	π	π	PROPN
ejpam-5581	624	57	,	,	PUNCT
ejpam-5581	624	58	schmidt	schmidt	ADJ
ejpam-5581	624	59	number	number	NOUN
ejpam-5581	624	60	sh	sh	PROPN
ejpam-5581	624	61	,	,	PUNCT
ejpam-5581	624	62	and	and	CCONJ
ejpam-5581	624	63	soret	soret	VERB
ejpam-5581	624	64	number	number	PROPN
ejpam-5581	624	65	st	st	PROPN
ejpam-5581	624	66	have	have	AUX
ejpam-5581	624	67	been	be	AUX
ejpam-5581	624	68	observed	observe	VERB
ejpam-5581	624	69	.	.	PUNCT
ejpam-5581	625	1	we	we	PRON
ejpam-5581	625	2	have	have	AUX
ejpam-5581	625	3	concisely	concisely	ADV
ejpam-5581	625	4	outlined	outline	VERB
ejpam-5581	625	5	the	the	DET
ejpam-5581	625	6	significant	significant	ADJ
ejpam-5581	625	7	results	result	NOUN
ejpam-5581	625	8	of	of	ADP
ejpam-5581	625	9	the	the	DET
ejpam-5581	625	10	present	present	ADJ
ejpam-5581	625	11	mathematical	mathematical	ADJ
ejpam-5581	625	12	analysis	analysis	NOUN
ejpam-5581	625	13	in	in	ADP
ejpam-5581	625	14	the	the	DET
ejpam-5581	625	15	following	follow	VERB
ejpam-5581	625	16	manner	manner	NOUN
ejpam-5581	625	17	:	:	PUNCT
ejpam-5581	625	18	•	•	ADP
ejpam-5581	625	19	when	when	SCONJ
ejpam-5581	625	20	the	the	DET
ejpam-5581	625	21	values	value	NOUN
ejpam-5581	625	22	of	of	ADP
ejpam-5581	625	23	ea	ea	PROPN
ejpam-5581	625	24	,	,	PUNCT
ejpam-5581	625	25	ep	ep	PROPN
ejpam-5581	625	26	,	,	PUNCT
ejpam-5581	625	27	(	(	PUNCT
ejpam-5581	625	28	we)(a	we)(a	PROPN
ejpam-5581	625	29	)	)	PUNCT
ejpam-5581	625	30	,	,	PUNCT
ejpam-5581	625	31	(	(	PUNCT
ejpam-5581	625	32	we)(p	we)(p	X
ejpam-5581	625	33	)	)	PUNCT
ejpam-5581	625	34	,	,	PUNCT
ejpam-5581	625	35	and	and	CCONJ
ejpam-5581	625	36	ξ	ξ	DET
ejpam-5581	625	37	increase	increase	NOUN
ejpam-5581	625	38	,	,	PUNCT
ejpam-5581	625	39	the	the	DET
ejpam-5581	625	40	acl	acl	PROPN
ejpam-5581	625	41	and	and	CCONJ
ejpam-5581	625	42	pcl	pcl	PROPN
ejpam-5581	625	43	’s	’s	PART
ejpam-5581	625	44	velocities	velocity	NOUN
ejpam-5581	625	45	tend	tend	VERB
ejpam-5581	625	46	to	to	PART
ejpam-5581	625	47	increase	increase	VERB
ejpam-5581	625	48	.	.	PUNCT
ejpam-5581	626	1	higher	high	ADJ
ejpam-5581	626	2	weissenberg	weissenberg	PROPN
ejpam-5581	626	3	numbers	number	NOUN
ejpam-5581	626	4	have	have	VERB
ejpam-5581	626	5	distinct	distinct	ADJ
ejpam-5581	626	6	influences	influence	NOUN
ejpam-5581	626	7	on	on	ADP
ejpam-5581	626	8	the	the	DET
ejpam-5581	626	9	velocities	velocity	NOUN
ejpam-5581	626	10	of	of	ADP
ejpam-5581	626	11	acl	acl	PROPN
ejpam-5581	626	12	and	and	CCONJ
ejpam-5581	626	13	pcl	pcl	PROPN
ejpam-5581	626	14	.	.	PUNCT
ejpam-5581	627	1	higher	high	ADJ
ejpam-5581	627	2	values	value	NOUN
ejpam-5581	627	3	of	of	ADP
ejpam-5581	627	4	(	(	PUNCT
ejpam-5581	627	5	we)(p	we)(p	X
ejpam-5581	627	6	)	)	PUNCT
ejpam-5581	627	7	accelerate	accelerate	VERB
ejpam-5581	627	8	fluid	fluid	ADJ
ejpam-5581	627	9	flow	flow	NOUN
ejpam-5581	627	10	in	in	ADP
ejpam-5581	627	11	a	a	DET
ejpam-5581	627	12	favorable	favorable	ADJ
ejpam-5581	627	13	direction	direction	NOUN
ejpam-5581	627	14	,	,	PUNCT
ejpam-5581	627	15	whereas	whereas	SCONJ
ejpam-5581	627	16	higher	high	ADJ
ejpam-5581	627	17	values	value	NOUN
ejpam-5581	627	18	of	of	ADP
ejpam-5581	627	19	(	(	PUNCT
ejpam-5581	627	20	we)(a	we)(a	PROPN
ejpam-5581	627	21	)	)	PUNCT
ejpam-5581	627	22	reverse	reverse	VERB
ejpam-5581	627	23	the	the	DET
ejpam-5581	627	24	direction	direction	NOUN
ejpam-5581	627	25	of	of	ADP
ejpam-5581	627	26	flow	flow	NOUN
ejpam-5581	627	27	.	.	PUNCT
ejpam-5581	628	1	•	•	NUM
ejpam-5581	628	2	the	the	DET
ejpam-5581	628	3	acl	acl	PROPN
ejpam-5581	628	4	and	and	CCONJ
ejpam-5581	628	5	pcl	pcl	PROPN
ejpam-5581	628	6	’s	’s	PART
ejpam-5581	628	7	temperature	temperature	NOUN
ejpam-5581	628	8	elevates	elevate	VERB
ejpam-5581	628	9	by	by	ADP
ejpam-5581	628	10	the	the	DET
ejpam-5581	628	11	increase	increase	NOUN
ejpam-5581	628	12	of	of	ADP
ejpam-5581	628	13	ep	ep	PROPN
ejpam-5581	628	14	,	,	PUNCT
ejpam-5581	628	15	(	(	PUNCT
ejpam-5581	628	16	we)(p	we)(p	X
ejpam-5581	628	17	)	)	PUNCT
ejpam-5581	628	18	,	,	PUNCT
ejpam-5581	628	19	br(p	br(p	PUNCT
ejpam-5581	628	20	)	)	PUNCT
ejpam-5581	628	21	,	,	PUNCT
ejpam-5581	628	22	ζ	ζ	NOUN
ejpam-5581	628	23	and	and	CCONJ
ejpam-5581	628	24	a.	a.	NOUN
ejpam-5581	628	25	alaidrous	alaidrous	PROPN
ejpam-5581	628	26	,	,	PUNCT
ejpam-5581	628	27	h.	h.	PROPN
ejpam-5581	628	28	ashraf	ashraf	PROPN
ejpam-5581	628	29	/	/	SYM
ejpam-5581	628	30	eur	eur	PROPN
ejpam-5581	628	31	.	.	PUNCT
ejpam-5581	629	1	j.	j.	PROPN
ejpam-5581	629	2	pure	pure	PROPN
ejpam-5581	629	3	appl	appl	PROPN
ejpam-5581	629	4	.	.	PROPN
ejpam-5581	629	5	math	math	PROPN
ejpam-5581	629	6	,	,	PUNCT
ejpam-5581	629	7	18	18	NUM
ejpam-5581	629	8	(	(	PUNCT
ejpam-5581	629	9	1	1	NUM
ejpam-5581	629	10	)	)	PUNCT
ejpam-5581	629	11	(	(	PUNCT
ejpam-5581	629	12	2025	2025	NUM
ejpam-5581	629	13	)	)	PUNCT
ejpam-5581	629	14	,	,	PUNCT
ejpam-5581	629	15	5581	5581	NUM
ejpam-5581	629	16	27	27	NUM
ejpam-5581	629	17	of	of	ADP
ejpam-5581	629	18	30	30	NUM
ejpam-5581	629	19	ξ	ξ	NOUN
ejpam-5581	629	20	.	.	PUNCT
ejpam-5581	630	1	the	the	DET
ejpam-5581	630	2	temperature	temperature	NOUN
ejpam-5581	630	3	of	of	ADP
ejpam-5581	630	4	the	the	DET
ejpam-5581	630	5	acl	acl	PROPN
ejpam-5581	630	6	and	and	CCONJ
ejpam-5581	630	7	pcl	pcl	PROPN
ejpam-5581	630	8	layers	layer	NOUN
ejpam-5581	630	9	rises	rise	VERB
ejpam-5581	630	10	because	because	SCONJ
ejpam-5581	630	11	of	of	ADP
ejpam-5581	630	12	viscous	viscous	ADJ
ejpam-5581	630	13	dissipation	dissipation	NOUN
ejpam-5581	630	14	,	,	PUNCT
ejpam-5581	630	15	but	but	CCONJ
ejpam-5581	630	16	thermal	thermal	ADJ
ejpam-5581	630	17	diffusion	diffusion	NOUN
ejpam-5581	630	18	reduces	reduce	VERB
ejpam-5581	630	19	the	the	DET
ejpam-5581	630	20	temperature	temperature	NOUN
ejpam-5581	630	21	of	of	ADP
ejpam-5581	630	22	these	these	DET
ejpam-5581	630	23	layers	layer	NOUN
ejpam-5581	630	24	when	when	SCONJ
ejpam-5581	630	25	br(p	br(p	PUNCT
ejpam-5581	630	26	)	)	PUNCT
ejpam-5581	630	27	increases	increase	NOUN
ejpam-5581	630	28	.	.	PUNCT
ejpam-5581	631	1	on	on	ADP
ejpam-5581	631	2	the	the	DET
ejpam-5581	631	3	other	other	ADJ
ejpam-5581	631	4	hand	hand	NOUN
ejpam-5581	631	5	,	,	PUNCT
ejpam-5581	631	6	it	it	PRON
ejpam-5581	631	7	decreases	decrease	VERB
ejpam-5581	631	8	when	when	SCONJ
ejpam-5581	631	9	ea	ea	X
ejpam-5581	631	10	,	,	PUNCT
ejpam-5581	631	11	(	(	PUNCT
ejpam-5581	631	12	we)(a	we)(a	PROPN
ejpam-5581	631	13	)	)	PUNCT
ejpam-5581	631	14	,	,	PUNCT
ejpam-5581	631	15	and	and	CCONJ
ejpam-5581	631	16	br(a	br(a	NUM
ejpam-5581	631	17	)	)	PUNCT
ejpam-5581	631	18	increment	increment	NOUN
ejpam-5581	631	19	.	.	PUNCT
ejpam-5581	632	1	an	an	DET
ejpam-5581	632	2	icremet	icremet	NOUN
ejpam-5581	632	3	in	in	ADP
ejpam-5581	632	4	br(a	br(a	NOUN
ejpam-5581	632	5	)	)	PUNCT
ejpam-5581	632	6	results	result	NOUN
ejpam-5581	632	7	in	in	ADP
ejpam-5581	632	8	an	an	DET
ejpam-5581	632	9	increase	increase	NOUN
ejpam-5581	632	10	in	in	ADP
ejpam-5581	632	11	temperature	temperature	NOUN
ejpam-5581	632	12	in	in	ADP
ejpam-5581	632	13	the	the	DET
ejpam-5581	632	14	acl	acl	PROPN
ejpam-5581	632	15	and	and	CCONJ
ejpam-5581	632	16	pcl	pcl	PROPN
ejpam-5581	632	17	layers	layer	NOUN
ejpam-5581	632	18	because	because	SCONJ
ejpam-5581	632	19	of	of	ADP
ejpam-5581	632	20	thermal	thermal	ADJ
ejpam-5581	632	21	diffusion	diffusion	NOUN
ejpam-5581	632	22	.	.	PUNCT
ejpam-5581	633	1	however	however	ADV
ejpam-5581	633	2	,	,	PUNCT
ejpam-5581	633	3	the	the	DET
ejpam-5581	633	4	temperature	temperature	NOUN
ejpam-5581	633	5	within	within	ADP
ejpam-5581	633	6	these	these	DET
ejpam-5581	633	7	layers	layer	NOUN
ejpam-5581	633	8	is	be	AUX
ejpam-5581	633	9	reduced	reduce	VERB
ejpam-5581	633	10	by	by	ADP
ejpam-5581	633	11	viscous	viscous	ADJ
ejpam-5581	633	12	dissipation	dissipation	NOUN
ejpam-5581	633	13	.	.	PUNCT
ejpam-5581	634	1	•	•	NUM
ejpam-5581	634	2	the	the	DET
ejpam-5581	634	3	acl	acl	PROPN
ejpam-5581	634	4	and	and	CCONJ
ejpam-5581	634	5	pcl	pcl	PROPN
ejpam-5581	634	6	’s	’s	PART
ejpam-5581	634	7	concentration	concentration	NOUN
ejpam-5581	634	8	decreases	decrease	VERB
ejpam-5581	634	9	with	with	ADP
ejpam-5581	634	10	increasing	increase	VERB
ejpam-5581	634	11	ea	ea	PROPN
ejpam-5581	634	12	,	,	PUNCT
ejpam-5581	634	13	ep	ep	PROPN
ejpam-5581	634	14	,	,	PUNCT
ejpam-5581	634	15	(	(	PUNCT
ejpam-5581	634	16	we)(a	we)(a	PROPN
ejpam-5581	634	17	)	)	PUNCT
ejpam-5581	634	18	,	,	PUNCT
ejpam-5581	634	19	(	(	PUNCT
ejpam-5581	634	20	we)(p	we)(p	X
ejpam-5581	634	21	)	)	PUNCT
ejpam-5581	634	22	,	,	PUNCT
ejpam-5581	634	23	ξ	ξ	PROPN
ejpam-5581	634	24	,	,	PUNCT
ejpam-5581	634	25	sh	sh	PROPN
ejpam-5581	634	26	and	and	CCONJ
ejpam-5581	634	27	st	st	PROPN
ejpam-5581	634	28	while	while	SCONJ
ejpam-5581	634	29	it	it	PRON
ejpam-5581	634	30	increases	increase	VERB
ejpam-5581	634	31	with	with	ADP
ejpam-5581	634	32	increasing	increase	VERB
ejpam-5581	634	33	(	(	PUNCT
ejpam-5581	634	34	we)(p	we)(p	PROPN
ejpam-5581	634	35	)	)	PUNCT
ejpam-5581	634	36	,	,	PUNCT
ejpam-5581	634	37	br(a	br(a	NUM
ejpam-5581	634	38	)	)	PUNCT
ejpam-5581	634	39	and	and	CCONJ
ejpam-5581	634	40	π	π	X
ejpam-5581	634	41	.	.	PUNCT
ejpam-5581	635	1	the	the	DET
ejpam-5581	635	2	concentration	concentration	NOUN
ejpam-5581	635	3	of	of	ADP
ejpam-5581	635	4	acl	acl	PROPN
ejpam-5581	635	5	increases	increase	NOUN
ejpam-5581	635	6	with	with	ADP
ejpam-5581	635	7	viscous	viscous	ADJ
ejpam-5581	635	8	dissipation	dissipation	NOUN
ejpam-5581	635	9	,	,	PUNCT
ejpam-5581	635	10	while	while	SCONJ
ejpam-5581	635	11	it	it	PRON
ejpam-5581	635	12	decreases	decrease	VERB
ejpam-5581	635	13	with	with	ADP
ejpam-5581	635	14	thermal	thermal	ADJ
ejpam-5581	635	15	diffusion	diffusion	NOUN
ejpam-5581	635	16	rate	rate	NOUN
ejpam-5581	635	17	,	,	PUNCT
ejpam-5581	635	18	while	while	SCONJ
ejpam-5581	635	19	pcl	pcl	PROPN
ejpam-5581	635	20	’s	’s	PART
ejpam-5581	635	21	viscous	viscous	ADJ
ejpam-5581	635	22	dissipation	dissipation	NOUN
ejpam-5581	635	23	and	and	CCONJ
ejpam-5581	635	24	thermal	thermal	ADJ
ejpam-5581	635	25	diffusion	diffusion	NOUN
ejpam-5581	635	26	rate	rate	NOUN
ejpam-5581	635	27	differ	differ	VERB
ejpam-5581	635	28	.	.	PUNCT
ejpam-5581	636	1	the	the	DET
ejpam-5581	636	2	pressure	pressure	NOUN
ejpam-5581	636	3	gradient	gradient	NOUN
ejpam-5581	636	4	at	at	ADP
ejpam-5581	636	5	the	the	DET
ejpam-5581	636	6	airway	airway	NOUN
ejpam-5581	636	7	channel	channel	NOUN
ejpam-5581	636	8	entrance	entrance	NOUN
ejpam-5581	636	9	reduces	reduce	VERB
ejpam-5581	636	10	concentration	concentration	NOUN
ejpam-5581	636	11	due	due	ADP
ejpam-5581	636	12	to	to	ADP
ejpam-5581	636	13	decreased	decrease	VERB
ejpam-5581	636	14	fluid	fluid	ADJ
ejpam-5581	636	15	diffusivity	diffusivity	NOUN
ejpam-5581	636	16	.	.	PUNCT
ejpam-5581	637	1	•	•	NUM
ejpam-5581	637	2	the	the	DET
ejpam-5581	637	3	comparison	comparison	NOUN
ejpam-5581	637	4	between	between	ADP
ejpam-5581	637	5	johnson	johnson	PROPN
ejpam-5581	637	6	-	-	PUNCT
ejpam-5581	637	7	segalman	segalman	ADJ
ejpam-5581	637	8	and	and	CCONJ
ejpam-5581	637	9	newtonian	newtonian	ADJ
ejpam-5581	637	10	fluids	fluid	NOUN
ejpam-5581	637	11	for	for	ADP
ejpam-5581	637	12	velocity	velocity	NOUN
ejpam-5581	637	13	,	,	PUNCT
ejpam-5581	637	14	temperature	temperature	NOUN
ejpam-5581	637	15	,	,	PUNCT
ejpam-5581	637	16	and	and	CCONJ
ejpam-5581	637	17	concentration	concentration	NOUN
ejpam-5581	637	18	reveals	reveal	VERB
ejpam-5581	637	19	that	that	SCONJ
ejpam-5581	637	20	johnson	johnson	PROPN
ejpam-5581	637	21	-	-	PUNCT
ejpam-5581	637	22	segalman	segalman	NOUN
ejpam-5581	637	23	fluid	fluid	NOUN
ejpam-5581	637	24	flows	flow	NOUN
ejpam-5581	637	25	with	with	ADP
ejpam-5581	637	26	more	more	ADJ
ejpam-5581	637	27	velocity	velocity	NOUN
ejpam-5581	637	28	,	,	PUNCT
ejpam-5581	637	29	higher	high	ADJ
ejpam-5581	637	30	temperature	temperature	NOUN
ejpam-5581	637	31	,	,	PUNCT
ejpam-5581	637	32	and	and	CCONJ
ejpam-5581	637	33	more	more	ADJ
ejpam-5581	637	34	concentration	concentration	NOUN
ejpam-5581	637	35	.	.	PUNCT
ejpam-5581	638	1	the	the	DET
ejpam-5581	638	2	findings	finding	NOUN
ejpam-5581	638	3	of	of	ADP
ejpam-5581	638	4	this	this	DET
ejpam-5581	638	5	analysis	analysis	NOUN
ejpam-5581	638	6	suggest	suggest	VERB
ejpam-5581	638	7	that	that	SCONJ
ejpam-5581	638	8	when	when	SCONJ
ejpam-5581	638	9	we	we	PRON
ejpam-5581	638	10	characterize	characterize	VERB
ejpam-5581	638	11	secreted	secrete	VERB
ejpam-5581	638	12	mucus	mucus	NOUN
ejpam-5581	638	13	by	by	ADP
ejpam-5581	638	14	the	the	DET
ejpam-5581	638	15	johnson	johnson	PROPN
ejpam-5581	638	16	-	-	PUNCT
ejpam-5581	638	17	segalman	segalman	NOUN
ejpam-5581	638	18	fluid	fluid	NOUN
ejpam-5581	638	19	,	,	PUNCT
ejpam-5581	638	20	mucus	mucus	NOUN
ejpam-5581	638	21	clearance	clearance	NOUN
ejpam-5581	638	22	in	in	ADP
ejpam-5581	638	23	the	the	DET
ejpam-5581	638	24	respiratory	respiratory	ADJ
ejpam-5581	638	25	system	system	NOUN
ejpam-5581	638	26	improves	improve	VERB
ejpam-5581	638	27	,	,	PUNCT
ejpam-5581	638	28	particularly	particularly	ADV
ejpam-5581	638	29	in	in	ADP
ejpam-5581	638	30	patients	patient	NOUN
ejpam-5581	638	31	of	of	ADP
ejpam-5581	638	32	severe	severe	ADJ
ejpam-5581	638	33	copd	copd	NOUN
ejpam-5581	638	34	.	.	PUNCT
ejpam-5581	639	1	it	it	PRON
ejpam-5581	639	2	’s	’	VERB
ejpam-5581	639	3	essential	essential	ADJ
ejpam-5581	639	4	to	to	PART
ejpam-5581	639	5	grasp	grasp	VERB
ejpam-5581	639	6	the	the	DET
ejpam-5581	639	7	rheological	rheological	ADJ
ejpam-5581	639	8	properties	property	NOUN
ejpam-5581	639	9	of	of	ADP
ejpam-5581	639	10	mucus	mucus	NOUN
ejpam-5581	639	11	and	and	CCONJ
ejpam-5581	639	12	consider	consider	VERB
ejpam-5581	639	13	environmental	environmental	ADJ
ejpam-5581	639	14	influences	influence	NOUN
ejpam-5581	639	15	to	to	PART
ejpam-5581	639	16	develop	develop	VERB
ejpam-5581	639	17	successful	successful	ADJ
ejpam-5581	639	18	treatments	treatment	NOUN
ejpam-5581	639	19	for	for	ADP
ejpam-5581	639	20	copd	copd	NOUN
ejpam-5581	639	21	,	,	PUNCT
ejpam-5581	639	22	particularly	particularly	ADV
ejpam-5581	639	23	in	in	ADP
ejpam-5581	639	24	scenarios	scenario	NOUN
ejpam-5581	639	25	involving	involve	VERB
ejpam-5581	639	26	hypersecretion	hypersecretion	NOUN
ejpam-5581	639	27	of	of	ADP
ejpam-5581	639	28	mucus	mucus	NOUN
ejpam-5581	639	29	in	in	ADP
ejpam-5581	639	30	the	the	DET
ejpam-5581	639	31	airways	airway	NOUN
ejpam-5581	639	32	.	.	PUNCT
ejpam-5581	640	1	acknowledgements	acknowledgement	NOUN
ejpam-5581	640	2	the	the	DET
ejpam-5581	640	3	authors	author	NOUN
ejpam-5581	640	4	wish	wish	VERB
ejpam-5581	640	5	to	to	PART
ejpam-5581	640	6	express	express	VERB
ejpam-5581	640	7	their	their	PRON
ejpam-5581	640	8	very	very	ADV
ejpam-5581	640	9	sincere	sincere	ADJ
ejpam-5581	640	10	thanks	thank	NOUN
ejpam-5581	640	11	to	to	ADP
ejpam-5581	640	12	the	the	DET
ejpam-5581	640	13	editors	editor	NOUN
ejpam-5581	640	14	and	and	CCONJ
ejpam-5581	640	15	reviewers	reviewer	NOUN
ejpam-5581	640	16	for	for	ADP
ejpam-5581	640	17	their	their	PRON
ejpam-5581	640	18	valuable	valuable	ADJ
ejpam-5581	640	19	suggestions	suggestion	NOUN
ejpam-5581	640	20	and	and	CCONJ
ejpam-5581	640	21	comments	comment	NOUN
ejpam-5581	640	22	.	.	PUNCT
ejpam-5581	641	1	conflict	conflict	NOUN
ejpam-5581	641	2	of	of	ADP
ejpam-5581	641	3	interest	interest	NOUN
ejpam-5581	641	4	the	the	DET
ejpam-5581	641	5	authors	author	NOUN
ejpam-5581	641	6	have	have	VERB
ejpam-5581	641	7	no	no	DET
ejpam-5581	641	8	conflicts	conflict	NOUN
ejpam-5581	641	9	of	of	ADP
ejpam-5581	641	10	interest	interest	NOUN
ejpam-5581	641	11	to	to	PART
ejpam-5581	641	12	declare	declare	VERB
ejpam-5581	641	13	.	.	PUNCT
ejpam-5581	642	1	data	datum	NOUN
ejpam-5581	642	2	availability	availability	NOUN
ejpam-5581	642	3	the	the	DET
ejpam-5581	642	4	data	datum	NOUN
ejpam-5581	642	5	used	use	VERB
ejpam-5581	642	6	to	to	PART
ejpam-5581	642	7	support	support	VERB
ejpam-5581	642	8	the	the	DET
ejpam-5581	642	9	findings	finding	NOUN
ejpam-5581	642	10	of	of	ADP
ejpam-5581	642	11	this	this	DET
ejpam-5581	642	12	study	study	NOUN
ejpam-5581	642	13	are	be	AUX
ejpam-5581	642	14	available	available	ADJ
ejpam-5581	642	15	from	from	ADP
ejpam-5581	642	16	the	the	DET
ejpam-5581	642	17	corresponding	corresponding	ADJ
ejpam-5581	642	18	author	author	NOUN
ejpam-5581	642	19	upon	upon	SCONJ
ejpam-5581	642	20	request	request	NOUN
ejpam-5581	642	21	.	.	PUNCT
ejpam-5581	643	1	references	reference	NOUN
ejpam-5581	643	2	[	[	X
ejpam-5581	643	3	1	1	NUM
ejpam-5581	643	4	]	]	PUNCT
ejpam-5581	643	5	g	g	NOUN
ejpam-5581	643	6	adomian	adomian	NOUN
ejpam-5581	643	7	.	.	PUNCT
ejpam-5581	644	1	analytical	analytical	ADJ
ejpam-5581	644	2	solutions	solution	NOUN
ejpam-5581	644	3	for	for	ADP
ejpam-5581	644	4	ordinary	ordinary	ADJ
ejpam-5581	644	5	and	and	CCONJ
ejpam-5581	644	6	partial	partial	ADJ
ejpam-5581	644	7	differential	differential	ADJ
ejpam-5581	644	8	equations	equation	NOUN
ejpam-5581	644	9	.	.	PUNCT
ejpam-5581	645	1	in	in	ADP
ejpam-5581	645	2	differential	differential	ADJ
ejpam-5581	645	3	equations	equation	NOUN
ejpam-5581	645	4	and	and	CCONJ
ejpam-5581	645	5	mathematical	mathematical	ADJ
ejpam-5581	645	6	physics	physics	NOUN
ejpam-5581	645	7	:	:	PUNCT
ejpam-5581	645	8	proceedings	proceeding	NOUN
ejpam-5581	645	9	of	of	ADP
ejpam-5581	645	10	an	an	DET
ejpam-5581	645	11	international	international	ADJ
ejpam-5581	645	12	conference	conference	NOUN
ejpam-5581	645	13	held	hold	VERB
ejpam-5581	645	14	in	in	ADP
ejpam-5581	645	15	birmingham	birmingham	PROPN
ejpam-5581	645	16	,	,	PUNCT
ejpam-5581	645	17	alabama	alabama	PROPN
ejpam-5581	645	18	,	,	PUNCT
ejpam-5581	645	19	usa	usa	PROPN
ejpam-5581	645	20	march	march	PROPN
ejpam-5581	645	21	3–8	3–8	NUM
ejpam-5581	645	22	,	,	PUNCT
ejpam-5581	645	23	1986	1986	NUM
ejpam-5581	645	24	,	,	PUNCT
ejpam-5581	645	25	pages	page	NOUN
ejpam-5581	645	26	1–15	1–15	PROPN
ejpam-5581	645	27	.	.	PUNCT
ejpam-5581	645	28	springer	springer	NOUN
ejpam-5581	645	29	,	,	PUNCT
ejpam-5581	645	30	2006	2006	NUM
ejpam-5581	645	31	.	.	PUNCT
ejpam-5581	646	1	[	[	X
ejpam-5581	646	2	2	2	X
ejpam-5581	646	3	]	]	PUNCT
ejpam-5581	646	4	noreen	noreen	PROPN
ejpam-5581	646	5	sher	sher	PROPN
ejpam-5581	646	6	akbar	akbar	PROPN
ejpam-5581	646	7	,	,	PUNCT
ejpam-5581	646	8	salman	salman	PROPN
ejpam-5581	646	9	akhtar	akhtar	PROPN
ejpam-5581	646	10	,	,	PUNCT
ejpam-5581	646	11	ehnber	ehnber	PROPN
ejpam-5581	646	12	n	n	PRON
ejpam-5581	646	13	maraj	maraj	VERB
ejpam-5581	646	14	,	,	PUNCT
ejpam-5581	646	15	ali	ali	PROPN
ejpam-5581	646	16	e	e	PROPN
ejpam-5581	646	17	anqi	anqi	PROPN
ejpam-5581	646	18	,	,	PUNCT
ejpam-5581	646	19	and	and	CCONJ
ejpam-5581	646	20	raad	raad	PROPN
ejpam-5581	646	21	z	z	PROPN
ejpam-5581	646	22	homod	homod	PROPN
ejpam-5581	646	23	.	.	PUNCT
ejpam-5581	647	1	heat	heat	NOUN
ejpam-5581	647	2	transfer	transfer	NOUN
ejpam-5581	647	3	analysis	analysis	NOUN
ejpam-5581	647	4	of	of	ADP
ejpam-5581	647	5	mhd	mhd	NOUN
ejpam-5581	647	6	viscous	viscous	ADJ
ejpam-5581	647	7	fluid	fluid	NOUN
ejpam-5581	647	8	in	in	ADP
ejpam-5581	647	9	a	a	DET
ejpam-5581	647	10	ciliated	ciliated	ADJ
ejpam-5581	647	11	tube	tube	NOUN
ejpam-5581	647	12	with	with	ADP
ejpam-5581	647	13	entropy	entropy	PROPN
ejpam-5581	647	14	generation	generation	NOUN
ejpam-5581	647	15	.	.	PUNCT
ejpam-5581	648	1	mathematical	mathematical	ADJ
ejpam-5581	648	2	methods	method	NOUN
ejpam-5581	648	3	in	in	ADP
ejpam-5581	648	4	the	the	DET
ejpam-5581	648	5	applied	apply	VERB
ejpam-5581	648	6	sciences	science	NOUN
ejpam-5581	648	7	,	,	PUNCT
ejpam-5581	648	8	46(10):11495–11508	46(10):11495–11508	NUM
ejpam-5581	648	9	,	,	PUNCT
ejpam-5581	648	10	2023	2023	NUM
ejpam-5581	648	11	.	.	PUNCT
ejpam-5581	649	1	[	[	X
ejpam-5581	649	2	3	3	X
ejpam-5581	649	3	]	]	X
ejpam-5581	649	4	noreen	noreen	PROPN
ejpam-5581	649	5	sher	sher	PROPN
ejpam-5581	649	6	akbar	akbar	PROPN
ejpam-5581	649	7	,	,	PUNCT
ejpam-5581	649	8	abbasali	abbasali	PROPN
ejpam-5581	649	9	abouei	abouei	PROPN
ejpam-5581	649	10	mehrizi	mehrizi	PROPN
ejpam-5581	649	11	,	,	PUNCT
ejpam-5581	649	12	maimona	maimona	PROPN
ejpam-5581	649	13	rafiq	rafiq	PROPN
ejpam-5581	649	14	,	,	PUNCT
ejpam-5581	649	15	m	m	PROPN
ejpam-5581	649	16	bilal	bilal	PROPN
ejpam-5581	649	17	habib	habib	PROPN
ejpam-5581	649	18	,	,	PUNCT
ejpam-5581	649	19	and	and	CCONJ
ejpam-5581	649	20	taseer	taseer	PROPN
ejpam-5581	649	21	muhammad	muhammad	PROPN
ejpam-5581	649	22	.	.	PUNCT
ejpam-5581	650	1	peristaltic	peristaltic	ADJ
ejpam-5581	650	2	flow	flow	NOUN
ejpam-5581	650	3	analysis	analysis	NOUN
ejpam-5581	650	4	of	of	ADP
ejpam-5581	650	5	thermal	thermal	ADJ
ejpam-5581	650	6	engineering	engineering	NOUN
ejpam-5581	650	7	nano	nano	NOUN
ejpam-5581	650	8	model	model	NOUN
ejpam-5581	650	9	with	with	ADP
ejpam-5581	650	10	effective	effective	ADJ
ejpam-5581	650	11	thermal	thermal	ADJ
ejpam-5581	650	12	conductivity	conductivity	NOUN
ejpam-5581	650	13	of	of	ADP
ejpam-5581	650	14	different	different	ADJ
ejpam-5581	650	15	shape	shape	NOUN
ejpam-5581	650	16	nanomaterials	nanomaterial	NOUN
ejpam-5581	650	17	assessing	assess	VERB
ejpam-5581	650	18	variable	variable	ADJ
ejpam-5581	650	19	fluid	fluid	ADJ
ejpam-5581	650	20	properties	property	NOUN
ejpam-5581	650	21	.	.	PUNCT
ejpam-5581	651	1	alexandria	alexandria	PROPN
ejpam-5581	651	2	engineering	engineering	PROPN
ejpam-5581	651	3	journal	journal	PROPN
ejpam-5581	651	4	,	,	PUNCT
ejpam-5581	651	5	81:395–404	81:395–404	PROPN
ejpam-5581	651	6	,	,	PUNCT
ejpam-5581	651	7	2023	2023	NUM
ejpam-5581	651	8	.	.	PUNCT
ejpam-5581	652	1	a.	a.	PROPN
ejpam-5581	652	2	alaidrous	alaidrous	PROPN
ejpam-5581	652	3	,	,	PUNCT
ejpam-5581	652	4	h.	h.	PROPN
ejpam-5581	652	5	ashraf	ashraf	PROPN
ejpam-5581	652	6	/	/	SYM
ejpam-5581	652	7	eur	eur	PROPN
ejpam-5581	652	8	.	.	PUNCT
ejpam-5581	653	1	j.	j.	PROPN
ejpam-5581	653	2	pure	pure	PROPN
ejpam-5581	653	3	appl	appl	PROPN
ejpam-5581	653	4	.	.	PROPN
ejpam-5581	653	5	math	math	PROPN
ejpam-5581	653	6	,	,	PUNCT
ejpam-5581	653	7	18	18	NUM
ejpam-5581	653	8	(	(	PUNCT
ejpam-5581	653	9	1	1	NUM
ejpam-5581	653	10	)	)	PUNCT
ejpam-5581	653	11	(	(	PUNCT
ejpam-5581	653	12	2025	2025	NUM
ejpam-5581	653	13	)	)	PUNCT
ejpam-5581	653	14	,	,	PUNCT
ejpam-5581	653	15	5581	5581	NUM
ejpam-5581	653	16	28	28	NUM
ejpam-5581	653	17	of	of	ADP
ejpam-5581	653	18	30	30	NUM
ejpam-5581	653	19	[	[	SYM
ejpam-5581	653	20	4	4	NUM
ejpam-5581	653	21	]	]	PUNCT
ejpam-5581	653	22	amel	amel	X
ejpam-5581	654	1	a	a	DET
ejpam-5581	654	2	alaidrous	alaidrous	ADJ
ejpam-5581	654	3	and	and	CCONJ
ejpam-5581	654	4	mohamed	mohamed	PROPN
ejpam-5581	654	5	r	r	PROPN
ejpam-5581	654	6	eid	eid	PROPN
ejpam-5581	654	7	.	.	PROPN
ejpam-5581	654	8	3	3	NUM
ejpam-5581	654	9	-	-	SYM
ejpam-5581	654	10	d	d	PROPN
ejpam-5581	654	11	electromagnetic	electromagnetic	NOUN
ejpam-5581	654	12	radiative	radiative	ADJ
ejpam-5581	654	13	non	non	ADJ
ejpam-5581	654	14	-	-	ADJ
ejpam-5581	654	15	newtonian	newtonian	ADJ
ejpam-5581	654	16	nanofluid	nanofluid	ADJ
ejpam-5581	654	17	flow	flow	NOUN
ejpam-5581	654	18	with	with	ADP
ejpam-5581	654	19	joule	joule	NOUN
ejpam-5581	654	20	heating	heating	NOUN
ejpam-5581	654	21	and	and	CCONJ
ejpam-5581	654	22	higher	high	ADJ
ejpam-5581	654	23	-	-	PUNCT
ejpam-5581	654	24	order	order	NOUN
ejpam-5581	654	25	reactions	reaction	NOUN
ejpam-5581	654	26	in	in	ADP
ejpam-5581	654	27	porous	porous	ADJ
ejpam-5581	654	28	materials	material	NOUN
ejpam-5581	654	29	.	.	PUNCT
ejpam-5581	655	1	scientific	scientific	ADJ
ejpam-5581	655	2	reports	report	NOUN
ejpam-5581	655	3	,	,	PUNCT
ejpam-5581	655	4	10(1):14513	10(1):14513	NUM
ejpam-5581	655	5	,	,	PUNCT
ejpam-5581	655	6	2020	2020	NUM
ejpam-5581	655	7	.	.	PUNCT
ejpam-5581	656	1	[	[	X
ejpam-5581	656	2	5	5	NUM
ejpam-5581	656	3	]	]	PUNCT
ejpam-5581	656	4	h	h	NOUN
ejpam-5581	656	5	ashraf	ashraf	PROPN
ejpam-5581	656	6	,	,	PUNCT
ejpam-5581	656	7	tariq	tariq	PROPN
ejpam-5581	656	8	ali	ali	PROPN
ejpam-5581	656	9	,	,	PUNCT
ejpam-5581	656	10	hamood	hamood	PROPN
ejpam-5581	656	11	ur	ur	PROPN
ejpam-5581	656	12	rehman	rehman	PROPN
ejpam-5581	656	13	,	,	PUNCT
ejpam-5581	656	14	nehad	nehad	VERB
ejpam-5581	656	15	ali	ali	PROPN
ejpam-5581	656	16	shah	shah	PROPN
ejpam-5581	656	17	,	,	PUNCT
ejpam-5581	656	18	sidra	sidra	PROPN
ejpam-5581	656	19	irshad	irshad	PROPN
ejpam-5581	656	20	,	,	PUNCT
ejpam-5581	656	21	and	and	CCONJ
ejpam-5581	656	22	bander	bander	PROPN
ejpam-5581	656	23	almutairi	almutairi	NOUN
ejpam-5581	656	24	.	.	PUNCT
ejpam-5581	657	1	heat	heat	NOUN
ejpam-5581	657	2	and	and	CCONJ
ejpam-5581	657	3	concentration	concentration	NOUN
ejpam-5581	657	4	analysis	analysis	NOUN
ejpam-5581	657	5	of	of	ADP
ejpam-5581	657	6	two	two	NUM
ejpam-5581	657	7	-	-	PUNCT
ejpam-5581	657	8	layered	layer	VERB
ejpam-5581	657	9	muco	muco	ADJ
ejpam-5581	657	10	-	-	PUNCT
ejpam-5581	657	11	ciliary	ciliary	ADJ
ejpam-5581	657	12	third	third	ADJ
ejpam-5581	657	13	grade	grade	NOUN
ejpam-5581	657	14	fluid	fluid	NOUN
ejpam-5581	657	15	flow	flow	NOUN
ejpam-5581	657	16	in	in	ADP
ejpam-5581	657	17	human	human	ADJ
ejpam-5581	657	18	airways	airway	NOUN
ejpam-5581	657	19	.	.	PUNCT
ejpam-5581	658	1	case	case	NOUN
ejpam-5581	658	2	studies	study	NOUN
ejpam-5581	658	3	in	in	ADP
ejpam-5581	658	4	thermal	thermal	ADJ
ejpam-5581	658	5	engineering	engineering	NOUN
ejpam-5581	658	6	,	,	PUNCT
ejpam-5581	658	7	59:104512	59:104512	NUM
ejpam-5581	658	8	,	,	PUNCT
ejpam-5581	658	9	2024	2024	NUM
ejpam-5581	658	10	.	.	PUNCT
ejpam-5581	659	1	[	[	X
ejpam-5581	659	2	6	6	NUM
ejpam-5581	659	3	]	]	PUNCT
ejpam-5581	659	4	h	h	NOUN
ejpam-5581	659	5	ashraf	ashraf	NOUN
ejpam-5581	659	6	,	,	PUNCT
ejpam-5581	659	7	am	be	AUX
ejpam-5581	659	8	siddiqui	siddiqui	NOUN
ejpam-5581	659	9	,	,	PUNCT
ejpam-5581	659	10	and	and	CCONJ
ejpam-5581	659	11	ma	ma	PROPN
ejpam-5581	659	12	rana	rana	PROPN
ejpam-5581	659	13	.	.	PUNCT
ejpam-5581	660	1	analysis	analysis	NOUN
ejpam-5581	660	2	of	of	ADP
ejpam-5581	660	3	the	the	DET
ejpam-5581	660	4	peristaltic	peristaltic	ADJ
ejpam-5581	660	5	-	-	PUNCT
ejpam-5581	660	6	ciliary	ciliary	ADJ
ejpam-5581	660	7	flow	flow	NOUN
ejpam-5581	660	8	of	of	ADP
ejpam-5581	660	9	johnson	johnson	PROPN
ejpam-5581	660	10	–	–	PUNCT
ejpam-5581	660	11	segalman	segalman	ADJ
ejpam-5581	660	12	fluid	fluid	NOUN
ejpam-5581	660	13	induced	induce	VERB
ejpam-5581	660	14	by	by	ADP
ejpam-5581	660	15	peristalsis	peristalsis	NOUN
ejpam-5581	660	16	-	-	PUNCT
ejpam-5581	660	17	cilia	cilia	NOUN
ejpam-5581	660	18	of	of	ADP
ejpam-5581	660	19	the	the	DET
ejpam-5581	660	20	human	human	ADJ
ejpam-5581	660	21	fallopian	fallopian	NOUN
ejpam-5581	660	22	tube	tube	NOUN
ejpam-5581	660	23	.	.	PUNCT
ejpam-5581	661	1	mathematical	mathematical	ADJ
ejpam-5581	661	2	biosciences	bioscience	NOUN
ejpam-5581	661	3	,	,	PUNCT
ejpam-5581	661	4	300:64–75	300:64–75	PROPN
ejpam-5581	661	5	,	,	PUNCT
ejpam-5581	661	6	2018	2018	NUM
ejpam-5581	661	7	.	.	PUNCT
ejpam-5581	662	1	[	[	X
ejpam-5581	662	2	7	7	NUM
ejpam-5581	662	3	]	]	X
ejpam-5581	662	4	hameed	hameed	NOUN
ejpam-5581	662	5	ashraf	ashraf	PROPN
ejpam-5581	662	6	,	,	PUNCT
ejpam-5581	662	7	imran	imran	PROPN
ejpam-5581	662	8	siddique	siddique	PROPN
ejpam-5581	662	9	,	,	PUNCT
ejpam-5581	662	10	ayesha	ayesha	PROPN
ejpam-5581	662	11	siddiqa	siddiqa	PROPN
ejpam-5581	662	12	,	,	PUNCT
ejpam-5581	662	13	ferdous	ferdous	ADJ
ejpam-5581	662	14	mo	mo	PROPN
ejpam-5581	662	15	tawfiq	tawfiq	PROPN
ejpam-5581	662	16	,	,	PUNCT
ejpam-5581	662	17	fairouz	fairouz	NOUN
ejpam-5581	662	18	tchier	tchier	NOUN
ejpam-5581	662	19	,	,	PUNCT
ejpam-5581	662	20	rana	rana	PROPN
ejpam-5581	662	21	muhammad	muhammad	PROPN
ejpam-5581	662	22	zulqarnain	zulqarnain	PROPN
ejpam-5581	662	23	,	,	PUNCT
ejpam-5581	662	24	hamood	hamood	PROPN
ejpam-5581	662	25	ur	ur	PROPN
ejpam-5581	662	26	rehman	rehman	PROPN
ejpam-5581	662	27	,	,	PUNCT
ejpam-5581	662	28	shahzad	shahzad	PROPN
ejpam-5581	662	29	bhatti	bhatti	PROPN
ejpam-5581	662	30	,	,	PUNCT
ejpam-5581	662	31	and	and	CCONJ
ejpam-5581	662	32	abida	abida	PROPN
ejpam-5581	662	33	rehman	rehman	PROPN
ejpam-5581	662	34	.	.	PUNCT
ejpam-5581	663	1	analysis	analysis	NOUN
ejpam-5581	663	2	of	of	ADP
ejpam-5581	663	3	two	two	NUM
ejpam-5581	663	4	layered	layered	ADJ
ejpam-5581	663	5	peristaltic	peristaltic	ADJ
ejpam-5581	663	6	-	-	PUNCT
ejpam-5581	663	7	ciliary	ciliary	ADJ
ejpam-5581	663	8	transport	transport	NOUN
ejpam-5581	663	9	of	of	ADP
ejpam-5581	663	10	jeffrey	jeffrey	PROPN
ejpam-5581	663	11	fluid	fluid	NOUN
ejpam-5581	663	12	and	and	CCONJ
ejpam-5581	663	13	in	in	ADP
ejpam-5581	663	14	vitro	vitro	X
ejpam-5581	663	15	preimplantation	preimplantation	NOUN
ejpam-5581	663	16	embryo	embryo	NOUN
ejpam-5581	663	17	development	development	NOUN
ejpam-5581	663	18	.	.	PUNCT
ejpam-5581	664	1	scientific	scientific	ADJ
ejpam-5581	664	2	reports	report	NOUN
ejpam-5581	664	3	,	,	PUNCT
ejpam-5581	664	4	14(1):1469	14(1):1469	NUM
ejpam-5581	664	5	,	,	PUNCT
ejpam-5581	664	6	2024	2024	NUM
ejpam-5581	664	7	.	.	PUNCT
ejpam-5581	665	1	[	[	X
ejpam-5581	665	2	8	8	X
ejpam-5581	665	3	]	]	X
ejpam-5581	665	4	rama	rama	PROPN
ejpam-5581	665	5	bansil	bansil	PROPN
ejpam-5581	665	6	and	and	CCONJ
ejpam-5581	665	7	bradley	bradley	PROPN
ejpam-5581	665	8	s	s	PROPN
ejpam-5581	665	9	turner	turner	NOUN
ejpam-5581	665	10	.	.	PUNCT
ejpam-5581	666	1	the	the	DET
ejpam-5581	666	2	biology	biology	NOUN
ejpam-5581	666	3	of	of	ADP
ejpam-5581	666	4	mucus	mucus	NOUN
ejpam-5581	666	5	:	:	PUNCT
ejpam-5581	666	6	composition	composition	NOUN
ejpam-5581	666	7	,	,	PUNCT
ejpam-5581	666	8	synthesis	synthesis	NOUN
ejpam-5581	666	9	and	and	CCONJ
ejpam-5581	666	10	organization	organization	NOUN
ejpam-5581	666	11	.	.	PUNCT
ejpam-5581	667	1	advanced	advanced	ADJ
ejpam-5581	667	2	drug	drug	NOUN
ejpam-5581	667	3	delivery	delivery	NOUN
ejpam-5581	667	4	reviews	review	NOUN
ejpam-5581	667	5	,	,	PUNCT
ejpam-5581	667	6	124:3–15	124:3–15	NUM
ejpam-5581	667	7	,	,	PUNCT
ejpam-5581	667	8	2018	2018	NUM
ejpam-5581	667	9	.	.	PUNCT
ejpam-5581	668	1	[	[	X
ejpam-5581	668	2	9	9	X
ejpam-5581	668	3	]	]	X
ejpam-5581	668	4	john	john	PROPN
ejpam-5581	668	5	blake	blake	PROPN
ejpam-5581	668	6	.	.	PUNCT
ejpam-5581	668	7	mucus	mucus	PROPN
ejpam-5581	668	8	flows	flow	NOUN
ejpam-5581	668	9	.	.	PUNCT
ejpam-5581	669	1	mathematical	mathematical	ADJ
ejpam-5581	669	2	biosciences	bioscience	NOUN
ejpam-5581	669	3	,	,	PUNCT
ejpam-5581	669	4	17(3	17(3	NUM
ejpam-5581	669	5	-	-	PUNCT
ejpam-5581	669	6	4):301–313	4):301–313	NUM
ejpam-5581	669	7	,	,	PUNCT
ejpam-5581	669	8	1973	1973	NUM
ejpam-5581	669	9	.	.	PUNCT
ejpam-5581	670	1	[	[	X
ejpam-5581	670	2	10	10	NUM
ejpam-5581	670	3	]	]	X
ejpam-5581	670	4	ronald	ronald	PROPN
ejpam-5581	670	5	g	g	PROPN
ejpam-5581	670	6	crystal	crystal	PROPN
ejpam-5581	670	7	,	,	PUNCT
ejpam-5581	670	8	scott	scott	PROPN
ejpam-5581	670	9	h	h	PROPN
ejpam-5581	670	10	randell	randell	PROPN
ejpam-5581	670	11	,	,	PUNCT
ejpam-5581	670	12	john	john	PROPN
ejpam-5581	670	13	f	f	PROPN
ejpam-5581	670	14	engelhardt	engelhardt	PROPN
ejpam-5581	670	15	,	,	PUNCT
ejpam-5581	670	16	judith	judith	PROPN
ejpam-5581	670	17	voynow	voynow	PROPN
ejpam-5581	670	18	,	,	PUNCT
ejpam-5581	670	19	and	and	CCONJ
ejpam-5581	670	20	mary	mary	PROPN
ejpam-5581	670	21	e	e	PROPN
ejpam-5581	670	22	sunday	sunday	PROPN
ejpam-5581	670	23	.	.	PUNCT
ejpam-5581	671	1	airway	airway	NOUN
ejpam-5581	671	2	epithelial	epithelial	ADJ
ejpam-5581	671	3	cells	cell	NOUN
ejpam-5581	671	4	:	:	PUNCT
ejpam-5581	671	5	current	current	ADJ
ejpam-5581	671	6	concepts	concept	NOUN
ejpam-5581	671	7	and	and	CCONJ
ejpam-5581	671	8	challenges	challenge	NOUN
ejpam-5581	671	9	.	.	PUNCT
ejpam-5581	672	1	proceedings	proceeding	NOUN
ejpam-5581	672	2	of	of	ADP
ejpam-5581	672	3	the	the	DET
ejpam-5581	672	4	american	american	PROPN
ejpam-5581	672	5	thoracic	thoracic	NOUN
ejpam-5581	672	6	society	society	NOUN
ejpam-5581	672	7	,	,	PUNCT
ejpam-5581	672	8	5(7):772–777	5(7):772–777	NUM
ejpam-5581	672	9	,	,	PUNCT
ejpam-5581	672	10	2008	2008	NUM
ejpam-5581	672	11	.	.	PUNCT
ejpam-5581	673	1	[	[	X
ejpam-5581	673	2	11	11	NUM
ejpam-5581	673	3	]	]	X
ejpam-5581	673	4	henry	henry	PROPN
ejpam-5581	673	5	danahay	danahay	PROPN
ejpam-5581	673	6	and	and	CCONJ
ejpam-5581	673	7	alan	alan	PROPN
ejpam-5581	673	8	d	d	PROPN
ejpam-5581	673	9	jackson	jackson	PROPN
ejpam-5581	673	10	.	.	PUNCT
ejpam-5581	674	1	epithelial	epithelial	ADJ
ejpam-5581	674	2	mucus	mucus	NOUN
ejpam-5581	674	3	-	-	PUNCT
ejpam-5581	674	4	hypersecretion	hypersecretion	NOUN
ejpam-5581	674	5	and	and	CCONJ
ejpam-5581	674	6	respiratory	respiratory	ADJ
ejpam-5581	674	7	disease	disease	NOUN
ejpam-5581	674	8	.	.	PUNCT
ejpam-5581	675	1	current	current	ADJ
ejpam-5581	675	2	drug	drug	NOUN
ejpam-5581	675	3	targets	target	NOUN
ejpam-5581	675	4	-	-	PUNCT
ejpam-5581	675	5	inflammation	inflammation	NOUN
ejpam-5581	675	6	&	&	CCONJ
ejpam-5581	675	7	allergy	allergy	PROPN
ejpam-5581	675	8	,	,	PUNCT
ejpam-5581	675	9	4(6):651–664	4(6):651–664	NUM
ejpam-5581	675	10	,	,	PUNCT
ejpam-5581	675	11	2005	2005	NUM
ejpam-5581	675	12	.	.	PUNCT
ejpam-5581	676	1	[	[	X
ejpam-5581	676	2	12	12	NUM
ejpam-5581	676	3	]	]	X
ejpam-5581	676	4	mr	mr	PROPN
ejpam-5581	676	5	eid	eid	PROPN
ejpam-5581	676	6	,	,	PUNCT
ejpam-5581	676	7	sm	sm	PROPN
ejpam-5581	676	8	abdel	abdel	PROPN
ejpam-5581	676	9	-	-	PUNCT
ejpam-5581	676	10	gaied	gaie	VERB
ejpam-5581	676	11	,	,	PUNCT
ejpam-5581	676	12	and	and	CCONJ
ejpam-5581	676	13	aa	aa	PROPN
ejpam-5581	676	14	idarous	idarous	ADJ
ejpam-5581	676	15	.	.	PUNCT
ejpam-5581	677	1	on	on	ADP
ejpam-5581	677	2	effectiveness	effectiveness	NOUN
ejpam-5581	677	3	chemical	chemical	NOUN
ejpam-5581	677	4	reaction	reaction	NOUN
ejpam-5581	677	5	on	on	ADP
ejpam-5581	677	6	viscous	viscous	ADJ
ejpam-5581	677	7	flow	flow	NOUN
ejpam-5581	677	8	of	of	ADP
ejpam-5581	677	9	a	a	DET
ejpam-5581	677	10	non	non	ADJ
ejpam-5581	677	11	-	-	ADJ
ejpam-5581	677	12	darcy	darcy	ADJ
ejpam-5581	677	13	nanofluid	nanofluid	PROPN
ejpam-5581	677	14	over	over	ADP
ejpam-5581	677	15	a	a	DET
ejpam-5581	677	16	non	non	ADJ
ejpam-5581	677	17	-	-	ADJ
ejpam-5581	677	18	linearly	linearly	ADV
ejpam-5581	677	19	stretching	stretch	VERB
ejpam-5581	677	20	sheet	sheet	NOUN
ejpam-5581	677	21	in	in	ADP
ejpam-5581	677	22	a	a	DET
ejpam-5581	677	23	porous	porous	ADJ
ejpam-5581	677	24	medium	medium	NOUN
ejpam-5581	677	25	.	.	PUNCT
ejpam-5581	678	1	jokull	jokull	PROPN
ejpam-5581	678	2	j	j	PROPN
ejpam-5581	678	3	,	,	PUNCT
ejpam-5581	678	4	65(12):76–92	65(12):76–92	PROPN
ejpam-5581	678	5	,	,	PUNCT
ejpam-5581	678	6	2015	2015	NUM
ejpam-5581	678	7	.	.	PUNCT
ejpam-5581	679	1	[	[	X
ejpam-5581	679	2	13	13	NUM
ejpam-5581	679	3	]	]	X
ejpam-5581	679	4	christopher	christopher	PROPN
ejpam-5581	679	5	m	m	PROPN
ejpam-5581	679	6	evans	evans	PROPN
ejpam-5581	679	7	,	,	PUNCT
ejpam-5581	679	8	kyubo	kyubo	PROPN
ejpam-5581	679	9	kim	kim	PROPN
ejpam-5581	679	10	,	,	PUNCT
ejpam-5581	679	11	michael	michael	PROPN
ejpam-5581	679	12	j	j	PROPN
ejpam-5581	679	13	tuvim	tuvim	PROPN
ejpam-5581	679	14	,	,	PUNCT
ejpam-5581	679	15	and	and	CCONJ
ejpam-5581	679	16	burton	burton	PROPN
ejpam-5581	679	17	f	f	PROPN
ejpam-5581	679	18	dickey	dickey	PROPN
ejpam-5581	679	19	.	.	PUNCT
ejpam-5581	680	1	mucus	mucus	PROPN
ejpam-5581	680	2	hypersecretion	hypersecretion	NOUN
ejpam-5581	680	3	in	in	ADP
ejpam-5581	680	4	asthma	asthma	NOUN
ejpam-5581	680	5	:	:	PUNCT
ejpam-5581	680	6	causes	cause	NOUN
ejpam-5581	680	7	and	and	CCONJ
ejpam-5581	680	8	effects	effect	NOUN
ejpam-5581	680	9	.	.	PUNCT
ejpam-5581	681	1	current	current	ADJ
ejpam-5581	681	2	opinion	opinion	NOUN
ejpam-5581	681	3	in	in	ADP
ejpam-5581	681	4	pulmonary	pulmonary	ADJ
ejpam-5581	681	5	medicine	medicine	NOUN
ejpam-5581	681	6	,	,	PUNCT
ejpam-5581	681	7	15(1):4–11	15(1):4–11	NUM
ejpam-5581	681	8	,	,	PUNCT
ejpam-5581	681	9	2009	2009	NUM
ejpam-5581	681	10	.	.	PUNCT
ejpam-5581	682	1	[	[	X
ejpam-5581	682	2	14	14	NUM
ejpam-5581	682	3	]	]	X
ejpam-5581	682	4	yuan	yuan	PROPN
ejpam-5581	682	5	-	-	PUNCT
ejpam-5581	682	6	cheng	cheng	PROPN
ejpam-5581	682	7	fung	fung	PROPN
ejpam-5581	682	8	and	and	CCONJ
ejpam-5581	682	9	yuan	yuan	PROPN
ejpam-5581	682	10	-	-	PUNCT
ejpam-5581	682	11	cheng	cheng	PROPN
ejpam-5581	682	12	fung	fung	PROPN
ejpam-5581	682	13	.	.	PUNCT
ejpam-5581	683	1	bioviscoelastic	bioviscoelastic	ADJ
ejpam-5581	683	2	fluids	fluid	NOUN
ejpam-5581	683	3	.	.	PUNCT
ejpam-5581	684	1	biomechanics	biomechanic	NOUN
ejpam-5581	684	2	:	:	PUNCT
ejpam-5581	684	3	mechanical	mechanical	ADJ
ejpam-5581	684	4	properties	property	NOUN
ejpam-5581	684	5	of	of	ADP
ejpam-5581	684	6	living	live	VERB
ejpam-5581	684	7	tissues	tissue	NOUN
ejpam-5581	684	8	,	,	PUNCT
ejpam-5581	684	9	pages	page	NOUN
ejpam-5581	684	10	220–241	220–241	NUM
ejpam-5581	684	11	,	,	PUNCT
ejpam-5581	684	12	1993	1993	NUM
ejpam-5581	684	13	.	.	PUNCT
ejpam-5581	685	1	[	[	X
ejpam-5581	685	2	15	15	NUM
ejpam-5581	685	3	]	]	X
ejpam-5581	685	4	david	david	PROPN
ejpam-5581	685	5	b	b	PROPN
ejpam-5581	685	6	hill	hill	PROPN
ejpam-5581	685	7	,	,	PUNCT
ejpam-5581	685	8	brian	brian	PROPN
ejpam-5581	685	9	button	button	PROPN
ejpam-5581	685	10	,	,	PUNCT
ejpam-5581	685	11	michael	michael	PROPN
ejpam-5581	685	12	rubinstein	rubinstein	PROPN
ejpam-5581	685	13	,	,	PUNCT
ejpam-5581	685	14	and	and	CCONJ
ejpam-5581	685	15	richard	richard	PROPN
ejpam-5581	685	16	c	c	PROPN
ejpam-5581	685	17	boucher	boucher	PROPN
ejpam-5581	685	18	.	.	PUNCT
ejpam-5581	686	1	physiology	physiology	NOUN
ejpam-5581	686	2	and	and	CCONJ
ejpam-5581	686	3	pathophysiology	pathophysiology	NOUN
ejpam-5581	686	4	of	of	ADP
ejpam-5581	686	5	human	human	ADJ
ejpam-5581	686	6	airway	airway	NOUN
ejpam-5581	686	7	mucus	mucus	NOUN
ejpam-5581	686	8	.	.	PUNCT
ejpam-5581	687	1	physiological	physiological	ADJ
ejpam-5581	687	2	reviews	review	NOUN
ejpam-5581	687	3	,	,	PUNCT
ejpam-5581	687	4	102(4):1757	102(4):1757	PROPN
ejpam-5581	687	5	–	–	PUNCT
ejpam-5581	687	6	1836	1836	NUM
ejpam-5581	687	7	,	,	PUNCT
ejpam-5581	687	8	2022	2022	NUM
ejpam-5581	687	9	.	.	PUNCT
ejpam-5581	688	1	[	[	X
ejpam-5581	688	2	16	16	NUM
ejpam-5581	688	3	]	]	X
ejpam-5581	688	4	s	s	PART
ejpam-5581	688	5	hina	hina	PROPN
ejpam-5581	688	6	,	,	PUNCT
ejpam-5581	688	7	t	t	PROPN
ejpam-5581	688	8	hayat	hayat	NOUN
ejpam-5581	688	9	,	,	PUNCT
ejpam-5581	688	10	and	and	CCONJ
ejpam-5581	688	11	a	a	DET
ejpam-5581	688	12	alsaedi	alsaedi	NOUN
ejpam-5581	688	13	.	.	PUNCT
ejpam-5581	689	1	heat	heat	NOUN
ejpam-5581	689	2	and	and	CCONJ
ejpam-5581	689	3	mass	mass	NOUN
ejpam-5581	689	4	transfer	transfer	NOUN
ejpam-5581	689	5	effects	effect	NOUN
ejpam-5581	689	6	on	on	ADP
ejpam-5581	689	7	the	the	DET
ejpam-5581	689	8	peristaltic	peristaltic	ADJ
ejpam-5581	689	9	flow	flow	NOUN
ejpam-5581	689	10	of	of	ADP
ejpam-5581	689	11	johnson	johnson	PROPN
ejpam-5581	689	12	–	–	PUNCT
ejpam-5581	689	13	segalman	segalman	ADJ
ejpam-5581	689	14	fluid	fluid	NOUN
ejpam-5581	689	15	in	in	ADP
ejpam-5581	689	16	a	a	DET
ejpam-5581	689	17	curved	curved	ADJ
ejpam-5581	689	18	channel	channel	NOUN
ejpam-5581	689	19	with	with	ADP
ejpam-5581	689	20	compliant	compliant	ADJ
ejpam-5581	689	21	walls	wall	NOUN
ejpam-5581	689	22	.	.	PUNCT
ejpam-5581	690	1	international	international	ADJ
ejpam-5581	690	2	journal	journal	PROPN
ejpam-5581	690	3	of	of	ADP
ejpam-5581	690	4	heat	heat	NOUN
ejpam-5581	690	5	and	and	CCONJ
ejpam-5581	690	6	mass	mass	NOUN
ejpam-5581	690	7	transfer	transfer	NOUN
ejpam-5581	690	8	,	,	PUNCT
ejpam-5581	690	9	55(13	55(13	PROPN
ejpam-5581	690	10	-	-	PUNCT
ejpam-5581	690	11	14):3511–3521	14):3511–3521	NOUN
ejpam-5581	690	12	,	,	PUNCT
ejpam-5581	690	13	2012	2012	NUM
ejpam-5581	690	14	.	.	PUNCT
ejpam-5581	691	1	[	[	X
ejpam-5581	691	2	17	17	NUM
ejpam-5581	691	3	]	]	X
ejpam-5581	691	4	mohammad	mohammad	PROPN
ejpam-5581	691	5	mahdi	mahdi	PROPN
ejpam-5581	691	6	hosseini	hosseini	PROPN
ejpam-5581	691	7	and	and	CCONJ
ejpam-5581	691	8	hamideh	hamideh	PROPN
ejpam-5581	691	9	nasabzadeh	nasabzadeh	PROPN
ejpam-5581	691	10	.	.	PUNCT
ejpam-5581	692	1	on	on	ADP
ejpam-5581	692	2	the	the	DET
ejpam-5581	692	3	convergence	convergence	NOUN
ejpam-5581	692	4	of	of	ADP
ejpam-5581	692	5	adomian	adomian	ADJ
ejpam-5581	692	6	decomposition	decomposition	NOUN
ejpam-5581	692	7	method	method	NOUN
ejpam-5581	692	8	.	.	PUNCT
ejpam-5581	693	1	applied	apply	VERB
ejpam-5581	693	2	mathematics	mathematic	NOUN
ejpam-5581	693	3	and	and	CCONJ
ejpam-5581	693	4	computation	computation	NOUN
ejpam-5581	693	5	,	,	PUNCT
ejpam-5581	693	6	182(1):536–543	182(1):536–543	NUM
ejpam-5581	693	7	,	,	PUNCT
ejpam-5581	693	8	2006	2006	NUM
ejpam-5581	693	9	.	.	PUNCT
ejpam-5581	694	1	[	[	X
ejpam-5581	694	2	18	18	NUM
ejpam-5581	694	3	]	]	SYM
ejpam-5581	694	4	mw	mw	X
ejpam-5581	694	5	johnson	johnson	PROPN
ejpam-5581	694	6	jr	jr	PROPN
ejpam-5581	694	7	and	and	CCONJ
ejpam-5581	694	8	d	d	PROPN
ejpam-5581	694	9	segalman	segalman	NOUN
ejpam-5581	694	10	.	.	PUNCT
ejpam-5581	695	1	a	a	DET
ejpam-5581	695	2	model	model	NOUN
ejpam-5581	695	3	for	for	ADP
ejpam-5581	695	4	viscoelastic	viscoelastic	ADJ
ejpam-5581	695	5	fluid	fluid	ADJ
ejpam-5581	695	6	behavior	behavior	NOUN
ejpam-5581	695	7	which	which	PRON
ejpam-5581	695	8	allows	allow	VERB
ejpam-5581	695	9	non	non	ADJ
ejpam-5581	695	10	-	-	ADJ
ejpam-5581	695	11	affine	affine	ADJ
ejpam-5581	695	12	deformation	deformation	NOUN
ejpam-5581	695	13	.	.	PUNCT
ejpam-5581	696	1	journal	journal	PROPN
ejpam-5581	696	2	of	of	ADP
ejpam-5581	696	3	non	non	ADJ
ejpam-5581	696	4	-	-	ADJ
ejpam-5581	696	5	newtonian	newtonian	ADJ
ejpam-5581	696	6	fluid	fluid	ADJ
ejpam-5581	696	7	mechanics	mechanic	NOUN
ejpam-5581	696	8	,	,	PUNCT
ejpam-5581	696	9	2(3):255	2(3):255	NUM
ejpam-5581	696	10	–	–	PUNCT
ejpam-5581	696	11	270	270	NUM
ejpam-5581	696	12	,	,	PUNCT
ejpam-5581	696	13	1977	1977	NUM
ejpam-5581	696	14	.	.	PUNCT
ejpam-5581	697	1	[	[	X
ejpam-5581	697	2	19	19	NUM
ejpam-5581	697	3	]	]	X
ejpam-5581	697	4	m	m	VERB
ejpam-5581	697	5	king	king	PROPN
ejpam-5581	697	6	.	.	PUNCT
ejpam-5581	698	1	viscoelastic	viscoelastic	ADJ
ejpam-5581	698	2	properties	property	NOUN
ejpam-5581	698	3	of	of	ADP
ejpam-5581	698	4	airway	airway	NOUN
ejpam-5581	698	5	mucus	mucus	NOUN
ejpam-5581	698	6	.	.	PUNCT
ejpam-5581	699	1	in	in	ADP
ejpam-5581	699	2	federation	federation	NOUN
ejpam-5581	699	3	proceedings	proceeding	NOUN
ejpam-5581	699	4	,	,	PUNCT
ejpam-5581	699	5	vola	vola	PROPN
ejpam-5581	699	6	.	.	PUNCT
ejpam-5581	699	7	alaidrous	alaidrous	PROPN
ejpam-5581	699	8	,	,	PUNCT
ejpam-5581	699	9	h.	h.	PROPN
ejpam-5581	699	10	ashraf	ashraf	PROPN
ejpam-5581	699	11	/	/	SYM
ejpam-5581	699	12	eur	eur	PROPN
ejpam-5581	699	13	.	.	PUNCT
ejpam-5581	700	1	j.	j.	PROPN
ejpam-5581	700	2	pure	pure	PROPN
ejpam-5581	700	3	appl	appl	PROPN
ejpam-5581	700	4	.	.	PROPN
ejpam-5581	700	5	math	math	PROPN
ejpam-5581	700	6	,	,	PUNCT
ejpam-5581	700	7	18	18	NUM
ejpam-5581	700	8	(	(	PUNCT
ejpam-5581	700	9	1	1	NUM
ejpam-5581	700	10	)	)	PUNCT
ejpam-5581	700	11	(	(	PUNCT
ejpam-5581	700	12	2025	2025	NUM
ejpam-5581	700	13	)	)	PUNCT
ejpam-5581	700	14	,	,	PUNCT
ejpam-5581	700	15	5581	5581	NUM
ejpam-5581	700	16	29	29	NUM
ejpam-5581	700	17	of	of	ADP
ejpam-5581	700	18	30	30	NUM
ejpam-5581	700	19	ume	ume	NOUN
ejpam-5581	700	20	39	39	NUM
ejpam-5581	700	21	,	,	PUNCT
ejpam-5581	700	22	pages	page	NOUN
ejpam-5581	700	23	3080–3085	3080–3085	NUM
ejpam-5581	700	24	,	,	PUNCT
ejpam-5581	700	25	1980	1980	NUM
ejpam-5581	700	26	.	.	PUNCT
ejpam-5581	701	1	[	[	X
ejpam-5581	701	2	20	20	NUM
ejpam-5581	701	3	]	]	PUNCT
ejpam-5581	701	4	wl	wl	PROPN
ejpam-5581	701	5	lee	lee	PROPN
ejpam-5581	701	6	,	,	PUNCT
ejpam-5581	701	7	pg	pg	PROPN
ejpam-5581	701	8	jayathilake	jayathilake	NOUN
ejpam-5581	701	9	,	,	PUNCT
ejpam-5581	701	10	zhijun	zhijun	PROPN
ejpam-5581	701	11	tan	tan	PROPN
ejpam-5581	701	12	,	,	PUNCT
ejpam-5581	701	13	dv	dv	PROPN
ejpam-5581	701	14	le	le	PROPN
ejpam-5581	701	15	,	,	PUNCT
ejpam-5581	701	16	hp	hp	PROPN
ejpam-5581	701	17	lee	lee	PROPN
ejpam-5581	701	18	,	,	PUNCT
ejpam-5581	701	19	and	and	CCONJ
ejpam-5581	701	20	bc	bc	PROPN
ejpam-5581	701	21	khoo	khoo	PROPN
ejpam-5581	701	22	.	.	PUNCT
ejpam-5581	702	1	muco	muco	ADJ
ejpam-5581	702	2	-	-	PUNCT
ejpam-5581	702	3	ciliary	ciliary	ADJ
ejpam-5581	702	4	transport	transport	NOUN
ejpam-5581	702	5	:	:	PUNCT
ejpam-5581	702	6	effect	effect	NOUN
ejpam-5581	702	7	of	of	ADP
ejpam-5581	702	8	mucus	mucus	NOUN
ejpam-5581	702	9	viscosity	viscosity	NOUN
ejpam-5581	702	10	,	,	PUNCT
ejpam-5581	702	11	cilia	cilia	NOUN
ejpam-5581	702	12	beat	beat	VERB
ejpam-5581	702	13	frequency	frequency	NOUN
ejpam-5581	702	14	and	and	CCONJ
ejpam-5581	702	15	cilia	cilia	NOUN
ejpam-5581	702	16	density	density	NOUN
ejpam-5581	702	17	.	.	PUNCT
ejpam-5581	703	1	computers	computer	NOUN
ejpam-5581	703	2	&	&	CCONJ
ejpam-5581	703	3	fluids	fluid	NOUN
ejpam-5581	703	4	,	,	PUNCT
ejpam-5581	703	5	49(1):214–221	49(1):214–221	PROPN
ejpam-5581	703	6	,	,	PUNCT
ejpam-5581	703	7	2011	2011	NUM
ejpam-5581	703	8	.	.	PUNCT
ejpam-5581	704	1	[	[	X
ejpam-5581	704	2	21	21	NUM
ejpam-5581	704	3	]	]	X
ejpam-5581	704	4	marcus	marcus	PROPN
ejpam-5581	704	5	a	a	DET
ejpam-5581	704	6	mall	mall	NOUN
ejpam-5581	704	7	.	.	PUNCT
ejpam-5581	705	1	role	role	NOUN
ejpam-5581	705	2	of	of	ADP
ejpam-5581	705	3	cilia	cilia	NOUN
ejpam-5581	705	4	,	,	PUNCT
ejpam-5581	705	5	mucus	mucus	NOUN
ejpam-5581	705	6	,	,	PUNCT
ejpam-5581	705	7	and	and	CCONJ
ejpam-5581	705	8	airway	airway	NOUN
ejpam-5581	705	9	surface	surface	NOUN
ejpam-5581	705	10	liquid	liquid	NOUN
ejpam-5581	705	11	in	in	ADP
ejpam-5581	705	12	mucociliary	mucociliary	ADJ
ejpam-5581	705	13	dysfunction	dysfunction	NOUN
ejpam-5581	705	14	:	:	PUNCT
ejpam-5581	705	15	lessons	lesson	NOUN
ejpam-5581	705	16	from	from	ADP
ejpam-5581	705	17	mouse	mouse	NOUN
ejpam-5581	705	18	models	model	NOUN
ejpam-5581	705	19	.	.	PUNCT
ejpam-5581	706	1	journal	journal	NOUN
ejpam-5581	706	2	of	of	ADP
ejpam-5581	706	3	aerosol	aerosol	NOUN
ejpam-5581	706	4	medicine	medicine	NOUN
ejpam-5581	706	5	and	and	CCONJ
ejpam-5581	706	6	pulmonary	pulmonary	ADJ
ejpam-5581	706	7	drug	drug	NOUN
ejpam-5581	706	8	delivery	delivery	NOUN
ejpam-5581	706	9	,	,	PUNCT
ejpam-5581	706	10	21(1):13–24	21(1):13–24	NUM
ejpam-5581	706	11	,	,	PUNCT
ejpam-5581	706	12	2008	2008	NUM
ejpam-5581	706	13	.	.	PUNCT
ejpam-5581	707	1	[	[	X
ejpam-5581	707	2	22	22	NUM
ejpam-5581	707	3	]	]	PUNCT
ejpam-5581	707	4	n	n	PRON
ejpam-5581	707	5	manzoor	manzoor	NOUN
ejpam-5581	707	6	,	,	PUNCT
ejpam-5581	707	7	o	o	PROPN
ejpam-5581	707	8	anwar	anwar	PROPN
ejpam-5581	707	9	bég	bég	PROPN
ejpam-5581	707	10	,	,	PUNCT
ejpam-5581	707	11	k	k	PROPN
ejpam-5581	707	12	maqbool	maqbool	PROPN
ejpam-5581	707	13	,	,	PUNCT
ejpam-5581	707	14	and	and	CCONJ
ejpam-5581	707	15	s	s	AUX
ejpam-5581	707	16	shaheen	shaheen	PROPN
ejpam-5581	707	17	.	.	PUNCT
ejpam-5581	708	1	mathematical	mathematical	ADJ
ejpam-5581	708	2	modelling	modelling	NOUN
ejpam-5581	708	3	of	of	ADP
ejpam-5581	708	4	ciliary	ciliary	ADJ
ejpam-5581	708	5	propulsion	propulsion	NOUN
ejpam-5581	708	6	of	of	ADP
ejpam-5581	708	7	an	an	DET
ejpam-5581	708	8	electrically	electrically	ADV
ejpam-5581	708	9	-	-	PUNCT
ejpam-5581	708	10	conducting	conduct	VERB
ejpam-5581	708	11	johnson	johnson	PROPN
ejpam-5581	708	12	-	-	PUNCT
ejpam-5581	708	13	segalman	segalman	ADJ
ejpam-5581	708	14	physiological	physiological	ADJ
ejpam-5581	708	15	fluid	fluid	NOUN
ejpam-5581	708	16	in	in	ADP
ejpam-5581	708	17	a	a	DET
ejpam-5581	708	18	channel	channel	NOUN
ejpam-5581	708	19	with	with	ADP
ejpam-5581	708	20	slip	slip	NOUN
ejpam-5581	708	21	.	.	PUNCT
ejpam-5581	709	1	computer	computer	NOUN
ejpam-5581	709	2	methods	method	NOUN
ejpam-5581	709	3	in	in	ADP
ejpam-5581	709	4	biomechanics	biomechanic	NOUN
ejpam-5581	709	5	and	and	CCONJ
ejpam-5581	709	6	biomedical	biomedical	ADJ
ejpam-5581	709	7	engineering	engineering	NOUN
ejpam-5581	709	8	,	,	PUNCT
ejpam-5581	709	9	22(7):685–695	22(7):685–695	NUM
ejpam-5581	709	10	,	,	PUNCT
ejpam-5581	709	11	2019	2019	NUM
ejpam-5581	709	12	.	.	PUNCT
ejpam-5581	710	1	[	[	X
ejpam-5581	710	2	23	23	NUM
ejpam-5581	710	3	]	]	X
ejpam-5581	710	4	k	k	PROPN
ejpam-5581	710	5	maqbool	maqbool	PROPN
ejpam-5581	710	6	,	,	PUNCT
ejpam-5581	710	7	s	s	PART
ejpam-5581	710	8	shaheen	shaheen	PROPN
ejpam-5581	710	9	,	,	PUNCT
ejpam-5581	710	10	e	e	NOUN
ejpam-5581	710	11	bobescu	bobescu	NOUN
ejpam-5581	710	12	,	,	PUNCT
ejpam-5581	710	13	and	and	CCONJ
ejpam-5581	710	14	r	r	NOUN
ejpam-5581	710	15	ellahi	ellahi	NOUN
ejpam-5581	710	16	.	.	PUNCT
ejpam-5581	711	1	thermal	thermal	ADJ
ejpam-5581	711	2	and	and	CCONJ
ejpam-5581	711	3	concentration	concentration	NOUN
ejpam-5581	711	4	analysis	analysis	NOUN
ejpam-5581	711	5	of	of	ADP
ejpam-5581	711	6	phan	phan	PROPN
ejpam-5581	711	7	–	–	PUNCT
ejpam-5581	711	8	thien	thien	PROPN
ejpam-5581	711	9	–	–	PUNCT
ejpam-5581	711	10	tanner	tanner	NOUN
ejpam-5581	711	11	fluid	fluid	NOUN
ejpam-5581	711	12	flow	flow	NOUN
ejpam-5581	711	13	due	due	ADP
ejpam-5581	711	14	to	to	ADP
ejpam-5581	711	15	ciliary	ciliary	ADJ
ejpam-5581	711	16	movement	movement	NOUN
ejpam-5581	711	17	in	in	ADP
ejpam-5581	711	18	a	a	DET
ejpam-5581	711	19	peripheral	peripheral	ADJ
ejpam-5581	711	20	layer	layer	NOUN
ejpam-5581	711	21	.	.	PUNCT
ejpam-5581	712	1	j	j	PROPN
ejpam-5581	712	2	cent	cent	PROPN
ejpam-5581	712	3	south	south	PROPN
ejpam-5581	712	4	univ	univ	PROPN
ejpam-5581	712	5	,	,	PUNCT
ejpam-5581	712	6	28(11):3327–3339	28(11):3327–3339	NUM
ejpam-5581	712	7	,	,	PUNCT
ejpam-5581	712	8	2021	2021	NUM
ejpam-5581	712	9	.	.	PUNCT
ejpam-5581	713	1	[	[	X
ejpam-5581	713	2	24	24	NUM
ejpam-5581	713	3	]	]	PUNCT
ejpam-5581	713	4	janna	janna	PROPN
ejpam-5581	713	5	c	c	PROPN
ejpam-5581	713	6	nawroth	nawroth	PROPN
ejpam-5581	713	7	,	,	PUNCT
ejpam-5581	713	8	anne	anne	PROPN
ejpam-5581	713	9	m	m	PROPN
ejpam-5581	713	10	van	van	PROPN
ejpam-5581	713	11	der	der	NOUN
ejpam-5581	713	12	does	do	VERB
ejpam-5581	713	13	,	,	PUNCT
ejpam-5581	713	14	amy	amy	PROPN
ejpam-5581	713	15	ryan	ryan	PROPN
ejpam-5581	713	16	,	,	PUNCT
ejpam-5581	713	17	and	and	CCONJ
ejpam-5581	713	18	eva	eva	PROPN
ejpam-5581	713	19	kanso	kanso	PROPN
ejpam-5581	713	20	.	.	PUNCT
ejpam-5581	714	1	multiscale	multiscale	ADJ
ejpam-5581	714	2	mechanics	mechanic	NOUN
ejpam-5581	714	3	of	of	ADP
ejpam-5581	714	4	mucociliary	mucociliary	ADJ
ejpam-5581	714	5	clearance	clearance	NOUN
ejpam-5581	714	6	in	in	ADP
ejpam-5581	714	7	the	the	DET
ejpam-5581	714	8	lung	lung	NOUN
ejpam-5581	714	9	.	.	PUNCT
ejpam-5581	715	1	philosophical	philosophical	ADJ
ejpam-5581	715	2	transactions	transaction	NOUN
ejpam-5581	715	3	of	of	ADP
ejpam-5581	715	4	the	the	DET
ejpam-5581	715	5	royal	royal	ADJ
ejpam-5581	715	6	society	society	PROPN
ejpam-5581	715	7	b	b	PROPN
ejpam-5581	715	8	,	,	PUNCT
ejpam-5581	715	9	375(1792):20190160	375(1792):20190160	NUM
ejpam-5581	715	10	,	,	PUNCT
ejpam-5581	715	11	2020	2020	NUM
ejpam-5581	715	12	.	.	PUNCT
ejpam-5581	716	1	[	[	X
ejpam-5581	716	2	25	25	NUM
ejpam-5581	716	3	]	]	X
ejpam-5581	716	4	kh	kh	PROPN
ejpam-5581	716	5	nowar	nowar	PROPN
ejpam-5581	716	6	,	,	PUNCT
ejpam-5581	716	7	em	em	PRON
ejpam-5581	716	8	abo	abo	NOUN
ejpam-5581	716	9	-	-	PUNCT
ejpam-5581	716	10	eldahab	eldahab	NOUN
ejpam-5581	716	11	,	,	PUNCT
ejpam-5581	716	12	and	and	CCONJ
ejpam-5581	716	13	ei	ei	X
ejpam-5581	716	14	barakat	barakat	PROPN
ejpam-5581	716	15	.	.	PUNCT
ejpam-5581	717	1	peristaltic	peristaltic	ADJ
ejpam-5581	717	2	pumping	pumping	NOUN
ejpam-5581	717	3	of	of	ADP
ejpam-5581	717	4	johnsonsegalman	johnsonsegalman	ADJ
ejpam-5581	717	5	fluid	fluid	NOUN
ejpam-5581	717	6	in	in	ADP
ejpam-5581	717	7	an	an	DET
ejpam-5581	717	8	asymmetric	asymmetric	ADJ
ejpam-5581	717	9	channel	channel	NOUN
ejpam-5581	717	10	under	under	ADP
ejpam-5581	717	11	the	the	DET
ejpam-5581	717	12	effect	effect	NOUN
ejpam-5581	717	13	of	of	ADP
ejpam-5581	717	14	hall	hall	NOUN
ejpam-5581	717	15	and	and	CCONJ
ejpam-5581	717	16	ion	ion	NOUN
ejpam-5581	717	17	slip	slip	NOUN
ejpam-5581	717	18	currents	current	NOUN
ejpam-5581	717	19	.	.	PUNCT
ejpam-5581	718	1	j.	j.	PROPN
ejpam-5581	718	2	appl	appl	PROPN
ejpam-5581	718	3	.	.	PUNCT
ejpam-5581	719	1	comput	comput	PROPN
ejpam-5581	719	2	.	.	PUNCT
ejpam-5581	720	1	math	math	NOUN
ejpam-5581	720	2	,	,	PUNCT
ejpam-5581	720	3	1(102):1–6	1(102):1–6	NUM
ejpam-5581	720	4	,	,	PUNCT
ejpam-5581	720	5	2012	2012	NUM
ejpam-5581	720	6	.	.	PUNCT
ejpam-5581	721	1	[	[	X
ejpam-5581	721	2	26	26	NUM
ejpam-5581	721	3	]	]	X
ejpam-5581	721	4	rahul	rahul	NOUN
ejpam-5581	721	5	r	r	NOUN
ejpam-5581	721	6	rajendran	rajendran	NOUN
ejpam-5581	721	7	and	and	CCONJ
ejpam-5581	721	8	arindam	arindam	PROPN
ejpam-5581	721	9	banerjee	banerjee	PROPN
ejpam-5581	721	10	.	.	PUNCT
ejpam-5581	722	1	effect	effect	NOUN
ejpam-5581	722	2	of	of	ADP
ejpam-5581	722	3	non	non	ADJ
ejpam-5581	722	4	-	-	ADJ
ejpam-5581	722	5	newtonian	newtonian	ADJ
ejpam-5581	722	6	dynamics	dynamic	NOUN
ejpam-5581	722	7	on	on	ADP
ejpam-5581	722	8	the	the	DET
ejpam-5581	722	9	clearance	clearance	NOUN
ejpam-5581	722	10	of	of	ADP
ejpam-5581	722	11	mucus	mucus	NOUN
ejpam-5581	722	12	from	from	ADP
ejpam-5581	722	13	bifurcating	bifurcate	VERB
ejpam-5581	722	14	lung	lung	NOUN
ejpam-5581	722	15	airway	airway	NOUN
ejpam-5581	722	16	models	model	NOUN
ejpam-5581	722	17	.	.	PUNCT
ejpam-5581	723	1	journal	journal	NOUN
ejpam-5581	723	2	of	of	ADP
ejpam-5581	723	3	biomechanical	biomechanical	ADJ
ejpam-5581	723	4	engineering	engineering	NOUN
ejpam-5581	723	5	,	,	PUNCT
ejpam-5581	723	6	143(2):021011	143(2):021011	PROPN
ejpam-5581	723	7	,	,	PUNCT
ejpam-5581	723	8	2021	2021	NUM
ejpam-5581	723	9	.	.	PUNCT
ejpam-5581	724	1	[	[	X
ejpam-5581	724	2	27	27	NUM
ejpam-5581	724	3	]	]	PUNCT
ejpam-5581	724	4	samriddha	samriddha	PROPN
ejpam-5581	724	5	ray	ray	PROPN
ejpam-5581	724	6	and	and	CCONJ
ejpam-5581	724	7	jeffrey	jeffrey	PROPN
ejpam-5581	724	8	a	a	DET
ejpam-5581	724	9	whitsett	whitsett	PROPN
ejpam-5581	724	10	.	.	PUNCT
ejpam-5581	725	1	airway	airway	NOUN
ejpam-5581	725	2	mucus	mucus	NOUN
ejpam-5581	725	3	and	and	CCONJ
ejpam-5581	725	4	mucociliary	mucociliary	ADJ
ejpam-5581	725	5	system	system	NOUN
ejpam-5581	725	6	.	.	PUNCT
ejpam-5581	726	1	1998	1998	NUM
ejpam-5581	726	2	.	.	PUNCT
ejpam-5581	727	1	[	[	X
ejpam-5581	727	2	28	28	NUM
ejpam-5581	727	3	]	]	X
ejpam-5581	727	4	duncan	duncan	PROPN
ejpam-5581	727	5	f	f	PROPN
ejpam-5581	727	6	rogers	rogers	PROPN
ejpam-5581	727	7	.	.	PUNCT
ejpam-5581	728	1	airway	airway	NOUN
ejpam-5581	728	2	mucus	mucus	PROPN
ejpam-5581	728	3	hypersecretion	hypersecretion	NOUN
ejpam-5581	728	4	in	in	ADP
ejpam-5581	728	5	asthma	asthma	NOUN
ejpam-5581	728	6	:	:	PUNCT
ejpam-5581	728	7	an	an	DET
ejpam-5581	728	8	undervalued	undervalued	ADJ
ejpam-5581	728	9	pathology	pathology	NOUN
ejpam-5581	728	10	?	?	PUNCT
ejpam-5581	729	1	current	current	ADJ
ejpam-5581	729	2	opinion	opinion	NOUN
ejpam-5581	729	3	in	in	ADP
ejpam-5581	729	4	pharmacology	pharmacology	NOUN
ejpam-5581	729	5	,	,	PUNCT
ejpam-5581	729	6	4(3):241–250	4(3):241–250	NUM
ejpam-5581	729	7	,	,	PUNCT
ejpam-5581	729	8	2004	2004	NUM
ejpam-5581	729	9	.	.	PUNCT
ejpam-5581	730	1	[	[	X
ejpam-5581	730	2	29	29	NUM
ejpam-5581	730	3	]	]	X
ejpam-5581	730	4	duncan	duncan	PROPN
ejpam-5581	730	5	f	f	PROPN
ejpam-5581	730	6	rogers	rogers	PROPN
ejpam-5581	730	7	.	.	PUNCT
ejpam-5581	731	1	airway	airway	NOUN
ejpam-5581	731	2	mucus	mucus	PROPN
ejpam-5581	731	3	hypersecretion	hypersecretion	PROPN
ejpam-5581	731	4	:	:	PUNCT
ejpam-5581	731	5	rationales	rationale	VERB
ejpam-5581	731	6	for	for	ADP
ejpam-5581	731	7	pharmacotherapy	pharmacotherapy	NOUN
ejpam-5581	731	8	.	.	PUNCT
ejpam-5581	732	1	journal	journal	NOUN
ejpam-5581	732	2	of	of	ADP
ejpam-5581	732	3	organ	organ	NOUN
ejpam-5581	732	4	dysfunction	dysfunction	NOUN
ejpam-5581	732	5	,	,	PUNCT
ejpam-5581	732	6	2(3):183–191	2(3):183–191	NUM
ejpam-5581	732	7	,	,	PUNCT
ejpam-5581	732	8	2006	2006	NUM
ejpam-5581	732	9	.	.	PUNCT
ejpam-5581	733	1	[	[	X
ejpam-5581	733	2	30	30	NUM
ejpam-5581	733	3	]	]	X
ejpam-5581	733	4	sm	sm	PROPN
ejpam-5581	733	5	ross	ross	PROPN
ejpam-5581	733	6	and	and	CCONJ
ejpam-5581	733	7	s	s	VERB
ejpam-5581	733	8	corrsin	corrsin	NOUN
ejpam-5581	733	9	.	.	PUNCT
ejpam-5581	734	1	results	result	NOUN
ejpam-5581	734	2	of	of	ADP
ejpam-5581	734	3	an	an	DET
ejpam-5581	734	4	analytical	analytical	ADJ
ejpam-5581	734	5	model	model	NOUN
ejpam-5581	734	6	of	of	ADP
ejpam-5581	734	7	mucociliary	mucociliary	ADJ
ejpam-5581	734	8	pumping	pumping	NOUN
ejpam-5581	734	9	.	.	PUNCT
ejpam-5581	735	1	journal	journal	PROPN
ejpam-5581	735	2	of	of	ADP
ejpam-5581	735	3	applied	apply	VERB
ejpam-5581	735	4	physiology	physiology	NOUN
ejpam-5581	735	5	,	,	PUNCT
ejpam-5581	735	6	37(3):333–340	37(3):333–340	NUM
ejpam-5581	735	7	,	,	PUNCT
ejpam-5581	735	8	1974	1974	NUM
ejpam-5581	735	9	.	.	PUNCT
ejpam-5581	736	1	[	[	X
ejpam-5581	736	2	31	31	NUM
ejpam-5581	736	3	]	]	PUNCT
ejpam-5581	736	4	bruce	bruce	PROPN
ejpam-5581	736	5	k	k	PROPN
ejpam-5581	736	6	rubin	rubin	PROPN
ejpam-5581	736	7	.	.	PUNCT
ejpam-5581	737	1	secretion	secretion	NOUN
ejpam-5581	737	2	properties	property	NOUN
ejpam-5581	737	3	,	,	PUNCT
ejpam-5581	737	4	clearance	clearance	NOUN
ejpam-5581	737	5	,	,	PUNCT
ejpam-5581	737	6	and	and	CCONJ
ejpam-5581	737	7	therapy	therapy	NOUN
ejpam-5581	737	8	in	in	ADP
ejpam-5581	737	9	airway	airway	NOUN
ejpam-5581	737	10	disease	disease	NOUN
ejpam-5581	737	11	.	.	PUNCT
ejpam-5581	738	1	translational	translational	ADJ
ejpam-5581	738	2	respiratory	respiratory	ADJ
ejpam-5581	738	3	medicine	medicine	NOUN
ejpam-5581	738	4	,	,	PUNCT
ejpam-5581	738	5	2:1–7	2:1–7	NUM
ejpam-5581	738	6	,	,	PUNCT
ejpam-5581	738	7	2014	2014	NUM
ejpam-5581	738	8	.	.	PUNCT
ejpam-5581	739	1	[	[	X
ejpam-5581	739	2	32	32	NUM
ejpam-5581	739	3	]	]	PUNCT
ejpam-5581	739	4	mohammed	mohammed	PROPN
ejpam-5581	739	5	r	r	PROPN
ejpam-5581	739	6	salman	salman	PROPN
ejpam-5581	739	7	.	.	PUNCT
ejpam-5581	740	1	the	the	DET
ejpam-5581	740	2	ciliary	ciliary	ADJ
ejpam-5581	740	3	propulsion	propulsion	NOUN
ejpam-5581	740	4	of	of	ADP
ejpam-5581	740	5	an	an	DET
ejpam-5581	740	6	electrically	electrically	ADV
ejpam-5581	740	7	conducting	conduct	VERB
ejpam-5581	740	8	johnsonsegalman	johnsonsegalman	ADJ
ejpam-5581	740	9	physiological	physiological	ADJ
ejpam-5581	740	10	fluid	fluid	NOUN
ejpam-5581	740	11	through	through	ADP
ejpam-5581	740	12	a	a	DET
ejpam-5581	740	13	porous	porous	ADJ
ejpam-5581	740	14	medium	medium	NOUN
ejpam-5581	740	15	in	in	ADP
ejpam-5581	740	16	an	an	DET
ejpam-5581	740	17	inclined	inclined	ADJ
ejpam-5581	740	18	symmetric	symmetric	NOUN
ejpam-5581	740	19	a	a	DET
ejpam-5581	740	20	channel	channel	NOUN
ejpam-5581	740	21	with	with	ADP
ejpam-5581	740	22	slip	slip	NOUN
ejpam-5581	740	23	.	.	PUNCT
ejpam-5581	741	1	in	in	ADP
ejpam-5581	741	2	journal	journal	PROPN
ejpam-5581	741	3	of	of	ADP
ejpam-5581	741	4	physics	physics	PROPN
ejpam-5581	741	5	:	:	PUNCT
ejpam-5581	741	6	conference	conference	NOUN
ejpam-5581	741	7	series	series	NOUN
ejpam-5581	741	8	,	,	PUNCT
ejpam-5581	741	9	volume	volume	NOUN
ejpam-5581	741	10	1818	1818	NUM
ejpam-5581	741	11	,	,	PUNCT
ejpam-5581	741	12	page	page	NOUN
ejpam-5581	741	13	012192	012192	NUM
ejpam-5581	741	14	.	.	PUNCT
ejpam-5581	742	1	iop	iop	PROPN
ejpam-5581	742	2	publishing	publishing	NOUN
ejpam-5581	742	3	,	,	PUNCT
ejpam-5581	742	4	2021	2021	NUM
ejpam-5581	742	5	.	.	PUNCT
ejpam-5581	743	1	[	[	X
ejpam-5581	743	2	33	33	NUM
ejpam-5581	743	3	]	]	X
ejpam-5581	743	4	mohammad	mohammad	PROPN
ejpam-5581	743	5	hadi	hadi	PROPN
ejpam-5581	743	6	sedaghat	sedaghat	PROPN
ejpam-5581	743	7	,	,	PUNCT
ejpam-5581	743	8	uduak	uduak	PROPN
ejpam-5581	743	9	z	z	PROPN
ejpam-5581	743	10	george	george	PROPN
ejpam-5581	743	11	,	,	PUNCT
ejpam-5581	743	12	and	and	CCONJ
ejpam-5581	743	13	omid	omid	PROPN
ejpam-5581	743	14	abouali	abouali	PROPN
ejpam-5581	743	15	.	.	PUNCT
ejpam-5581	744	1	a	a	DET
ejpam-5581	744	2	nonlinear	nonlinear	ADJ
ejpam-5581	744	3	viscoelastic	viscoelastic	ADJ
ejpam-5581	744	4	model	model	NOUN
ejpam-5581	744	5	of	of	ADP
ejpam-5581	744	6	mucociliary	mucociliary	ADJ
ejpam-5581	744	7	clearance	clearance	NOUN
ejpam-5581	744	8	.	.	PUNCT
ejpam-5581	745	1	rheologica	rheologica	PROPN
ejpam-5581	745	2	acta	acta	PROPN
ejpam-5581	745	3	,	,	PUNCT
ejpam-5581	745	4	60(6):371–384	60(6):371–384	PROPN
ejpam-5581	745	5	,	,	PUNCT
ejpam-5581	745	6	2021	2021	NUM
ejpam-5581	745	7	.	.	PUNCT
ejpam-5581	746	1	[	[	X
ejpam-5581	746	2	34	34	NUM
ejpam-5581	746	3	]	]	X
ejpam-5581	746	4	binay	binay	PROPN
ejpam-5581	746	5	kumar	kumar	PROPN
ejpam-5581	746	6	shah	shah	PROPN
ejpam-5581	746	7	,	,	PUNCT
ejpam-5581	746	8	bivek	bivek	PROPN
ejpam-5581	746	9	singh	singh	PROPN
ejpam-5581	746	10	,	,	PUNCT
ejpam-5581	746	11	yukun	yukun	PROPN
ejpam-5581	746	12	wang	wang	PROPN
ejpam-5581	746	13	,	,	PUNCT
ejpam-5581	746	14	shuanshuan	shuanshuan	PROPN
ejpam-5581	746	15	xie	xie	PROPN
ejpam-5581	746	16	,	,	PUNCT
ejpam-5581	746	17	and	and	CCONJ
ejpam-5581	746	18	changhui	changhui	PROPN
ejpam-5581	746	19	wang	wang	PROPN
ejpam-5581	746	20	.	.	PUNCT
ejpam-5581	747	1	mucus	mucus	PROPN
ejpam-5581	747	2	hypersecretion	hypersecretion	NOUN
ejpam-5581	747	3	in	in	ADP
ejpam-5581	747	4	chronic	chronic	ADJ
ejpam-5581	747	5	obstructive	obstructive	ADJ
ejpam-5581	747	6	pulmonary	pulmonary	ADJ
ejpam-5581	747	7	disease	disease	NOUN
ejpam-5581	747	8	and	and	CCONJ
ejpam-5581	747	9	its	its	PRON
ejpam-5581	747	10	treatment	treatment	NOUN
ejpam-5581	747	11	.	.	PUNCT
ejpam-5581	748	1	mediators	mediator	NOUN
ejpam-5581	748	2	of	of	ADP
ejpam-5581	748	3	inflammation	inflammation	NOUN
ejpam-5581	748	4	,	,	PUNCT
ejpam-5581	748	5	2023(1):8840594	2023(1):8840594	NUM
ejpam-5581	748	6	,	,	PUNCT
ejpam-5581	748	7	2023	2023	NUM
ejpam-5581	748	8	.	.	PUNCT
ejpam-5581	749	1	[	[	X
ejpam-5581	749	2	35	35	NUM
ejpam-5581	749	3	]	]	X
ejpam-5581	749	4	noreen	noreen	PROPN
ejpam-5581	749	5	sher	sher	PROPN
ejpam-5581	749	6	akbar	akbar	PROPN
ejpam-5581	749	7	and	and	CCONJ
ejpam-5581	749	8	salman	salman	PROPN
ejpam-5581	749	9	akhtar	akhtar	PROPN
ejpam-5581	749	10	.	.	PUNCT
ejpam-5581	750	1	metachronal	metachronal	ADJ
ejpam-5581	750	2	wave	wave	NOUN
ejpam-5581	750	3	form	form	NOUN
ejpam-5581	750	4	analysis	analysis	NOUN
ejpam-5581	750	5	on	on	ADP
ejpam-5581	750	6	ciliadriven	ciliadriven	ADJ
ejpam-5581	750	7	flow	flow	NOUN
ejpam-5581	750	8	of	of	ADP
ejpam-5581	750	9	non	non	ADJ
ejpam-5581	750	10	-	-	ADJ
ejpam-5581	750	11	newtonain	newtonain	ADJ
ejpam-5581	750	12	phan	phan	PROPN
ejpam-5581	750	13	–	–	PUNCT
ejpam-5581	750	14	thien	thien	PROPN
ejpam-5581	750	15	–	–	PUNCT
ejpam-5581	750	16	tanner	tanner	NOUN
ejpam-5581	750	17	fluid	fluid	ADJ
ejpam-5581	750	18	model	model	NOUN
ejpam-5581	750	19	:	:	PUNCT
ejpam-5581	750	20	a	a	DET
ejpam-5581	750	21	physiological	physiological	ADJ
ejpam-5581	750	22	matha	matha	NOUN
ejpam-5581	750	23	.	.	PUNCT
ejpam-5581	751	1	alaidrous	alaidrous	PROPN
ejpam-5581	751	2	,	,	PUNCT
ejpam-5581	751	3	h.	h.	PROPN
ejpam-5581	751	4	ashraf	ashraf	PROPN
ejpam-5581	751	5	/	/	SYM
ejpam-5581	751	6	eur	eur	PROPN
ejpam-5581	751	7	.	.	PUNCT
ejpam-5581	752	1	j.	j.	PROPN
ejpam-5581	752	2	pure	pure	PROPN
ejpam-5581	752	3	appl	appl	PROPN
ejpam-5581	752	4	.	.	PROPN
ejpam-5581	752	5	math	math	PROPN
ejpam-5581	752	6	,	,	PUNCT
ejpam-5581	752	7	18	18	NUM
ejpam-5581	752	8	(	(	PUNCT
ejpam-5581	752	9	1	1	NUM
ejpam-5581	752	10	)	)	PUNCT
ejpam-5581	752	11	(	(	PUNCT
ejpam-5581	752	12	2025	2025	NUM
ejpam-5581	752	13	)	)	PUNCT
ejpam-5581	752	14	,	,	PUNCT
ejpam-5581	752	15	5581	5581	NUM
ejpam-5581	752	16	30	30	NUM
ejpam-5581	752	17	of	of	ADP
ejpam-5581	752	18	30	30	NUM
ejpam-5581	752	19	ematical	ematical	ADJ
ejpam-5581	752	20	model	model	NOUN
ejpam-5581	752	21	.	.	PUNCT
ejpam-5581	753	1	proceedings	proceeding	NOUN
ejpam-5581	753	2	of	of	ADP
ejpam-5581	753	3	the	the	DET
ejpam-5581	753	4	institution	institution	NOUN
ejpam-5581	753	5	of	of	ADP
ejpam-5581	753	6	mechanical	mechanical	ADJ
ejpam-5581	753	7	engineers	engineer	NOUN
ejpam-5581	753	8	,	,	PUNCT
ejpam-5581	753	9	part	part	NOUN
ejpam-5581	753	10	e	e	NOUN
ejpam-5581	753	11	:	:	PUNCT
ejpam-5581	753	12	journal	journal	NOUN
ejpam-5581	753	13	of	of	ADP
ejpam-5581	753	14	process	process	NOUN
ejpam-5581	753	15	mechanical	mechanical	ADJ
ejpam-5581	753	16	engineering	engineering	NOUN
ejpam-5581	753	17	,	,	PUNCT
ejpam-5581	753	18	237(6):2567–2573	237(6):2567–2573	NOUN
ejpam-5581	753	19	,	,	PUNCT
ejpam-5581	753	20	2023	2023	NUM
ejpam-5581	753	21	.	.	PUNCT
ejpam-5581	754	1	[	[	X
ejpam-5581	754	2	36	36	NUM
ejpam-5581	754	3	]	]	X
ejpam-5581	754	4	abdul	abdul	PROPN
ejpam-5581	754	5	-	-	PUNCT
ejpam-5581	754	6	majid	majid	PROPN
ejpam-5581	754	7	wazwaz	wazwaz	NOUN
ejpam-5581	754	8	.	.	PUNCT
ejpam-5581	755	1	partial	partial	ADJ
ejpam-5581	755	2	differential	differential	ADJ
ejpam-5581	755	3	equations	equation	NOUN
ejpam-5581	755	4	and	and	CCONJ
ejpam-5581	755	5	solitary	solitary	ADJ
ejpam-5581	755	6	waves	wave	NOUN
ejpam-5581	755	7	theory	theory	NOUN
ejpam-5581	755	8	.	.	PUNCT
ejpam-5581	756	1	springer	springer	NOUN
ejpam-5581	756	2	science	science	PROPN
ejpam-5581	756	3	&	&	CCONJ
ejpam-5581	756	4	business	business	NOUN
ejpam-5581	756	5	media	medium	NOUN
ejpam-5581	756	6	,	,	PUNCT
ejpam-5581	756	7	2010	2010	NUM
ejpam-5581	756	8	.	.	PUNCT
ejpam-5581	757	1	[	[	X
ejpam-5581	757	2	37	37	NUM
ejpam-5581	757	3	]	]	PUNCT
ejpam-5581	757	4	a	a	DET
ejpam-5581	757	5	yaghi	yaghi	PROPN
ejpam-5581	757	6	and	and	CCONJ
ejpam-5581	757	7	mb	mb	ADP
ejpam-5581	757	8	dolovich	dolovich	PROPN
ejpam-5581	757	9	.	.	PUNCT
ejpam-5581	758	1	airway	airway	NOUN
ejpam-5581	758	2	epithelial	epithelial	ADJ
ejpam-5581	758	3	cell	cell	NOUN
ejpam-5581	758	4	cilia	cilia	NOUN
ejpam-5581	758	5	and	and	CCONJ
ejpam-5581	758	6	obstructive	obstructive	ADJ
ejpam-5581	758	7	lung	lung	NOUN
ejpam-5581	758	8	disease	disease	NOUN
ejpam-5581	758	9	.	.	PUNCT
ejpam-5581	759	1	cells	cell	NOUN
ejpam-5581	759	2	,	,	PUNCT
ejpam-5581	759	3	5	5	NUM
ejpam-5581	759	4	(	(	PUNCT
ejpam-5581	759	5	4	4	NUM
ejpam-5581	759	6	)	)	PUNCT
ejpam-5581	759	7	,	,	PUNCT
ejpam-5581	759	8	40	40	NUM
ejpam-5581	759	9	,	,	PUNCT
ejpam-5581	759	10	2016	2016	NUM
ejpam-5581	759	11	.	.	PUNCT
ejpam-5581	760	1	appendix	appendix	VERB
ejpam-5581	760	2	λ	λ	PROPN
ejpam-5581	760	3	=	=	SYM
ejpam-5581	760	4	1−m	1−m	NUM
ejpam-5581	760	5	,	,	PUNCT
ejpam-5581	760	6	g	g	PROPN
ejpam-5581	760	7	(	(	PUNCT
ejpam-5581	760	8	k	k	NOUN
ejpam-5581	760	9	)	)	PUNCT
ejpam-5581	760	10	1	1	NUM
ejpam-5581	760	11	=	=	SYM
ejpam-5581	760	12	(	(	PUNCT
ejpam-5581	760	13	(	(	PUNCT
ejpam-5581	760	14	we)(k	we)(k	PROPN
ejpam-5581	760	15	)	)	PUNCT
ejpam-5581	760	16	)	)	PUNCT
ejpam-5581	760	17	2	2	NUM
ejpam-5581	760	18	(	(	PUNCT
ejpam-5581	760	19	1−	1−	NUM
ejpam-5581	760	20	e2k	e2k	NOUN
ejpam-5581	760	21	)	)	PUNCT
ejpam-5581	760	22	,	,	PUNCT
ejpam-5581	760	23	g	g	PROPN
ejpam-5581	760	24	(	(	PUNCT
ejpam-5581	760	25	k	k	NOUN
ejpam-5581	760	26	)	)	PUNCT
ejpam-5581	760	27	2	2	NUM
ejpam-5581	760	28	=	=	SYM
ejpam-5581	760	29	br(k	br(k	NOUN
ejpam-5581	760	30	)	)	PUNCT
ejpam-5581	760	31	m	m	VERB
ejpam-5581	760	32	,	,	PUNCT
ejpam-5581	760	33	g	g	PROPN
ejpam-5581	760	34	(	(	PUNCT
ejpam-5581	760	35	k	k	NOUN
ejpam-5581	760	36	)	)	PUNCT
ejpam-5581	760	37	3	3	NUM
ejpam-5581	760	38	=	=	SYM
ejpam-5581	760	39	−	−	PROPN
ejpam-5581	760	40	(	(	PUNCT
ejpam-5581	760	41	(	(	PUNCT
ejpam-5581	760	42	we)(k	we)(k	PROPN
ejpam-5581	760	43	)	)	PUNCT
ejpam-5581	760	44	)	)	PUNCT
ejpam-5581	760	45	2	2	NUM
ejpam-5581	760	46	(	(	PUNCT
ejpam-5581	760	47	1−	1−	NUM
ejpam-5581	760	48	e2k	e2k	NOUN
ejpam-5581	760	49	)	)	PUNCT
ejpam-5581	760	50	λ	λ	PROPN
ejpam-5581	760	51	,	,	PUNCT
ejpam-5581	760	52	g	g	PROPN
ejpam-5581	760	53	(	(	PUNCT
ejpam-5581	760	54	k	k	NOUN
ejpam-5581	760	55	)	)	PUNCT
ejpam-5581	760	56	4	4	NUM
ejpam-5581	760	57	=	=	SYM
ejpam-5581	760	58	(	(	PUNCT
ejpam-5581	760	59	(	(	PUNCT
ejpam-5581	760	60	we)(k	we)(k	PROPN
ejpam-5581	760	61	)	)	PUNCT
ejpam-5581	760	62	)	)	PUNCT
ejpam-5581	760	63	4	4	NUM
ejpam-5581	760	64	(	(	PUNCT
ejpam-5581	760	65	1−	1−	NUM
ejpam-5581	760	66	e2k	e2k	NOUN
ejpam-5581	760	67	)	)	PUNCT
ejpam-5581	760	68	,	,	PUNCT
ejpam-5581	760	69	g	g	PROPN
ejpam-5581	760	70	(	(	PUNCT
ejpam-5581	760	71	k	k	NOUN
ejpam-5581	760	72	)	)	PUNCT
ejpam-5581	760	73	5	5	NUM
ejpam-5581	760	74	=	=	SYM
ejpam-5581	760	75	shst	shst	NOUN
ejpam-5581	760	76	d	d	X
ejpam-5581	760	77	(	(	PUNCT
ejpam-5581	760	78	k	k	NOUN
ejpam-5581	760	79	)	)	PUNCT
ejpam-5581	760	80	b	b	PROPN
ejpam-5581	760	81	,	,	PUNCT
ejpam-5581	760	82	j	j	PROPN
ejpam-5581	760	83	(	(	PUNCT
ejpam-5581	760	84	k	k	NOUN
ejpam-5581	760	85	)	)	PUNCT
ejpam-5581	760	86	1	1	NUM
ejpam-5581	760	87	=	=	SYM
ejpam-5581	760	88	g	g	PROPN
ejpam-5581	760	89	(	(	PUNCT
ejpam-5581	760	90	k	k	NOUN
ejpam-5581	760	91	)	)	PUNCT
ejpam-5581	760	92	2	2	NUM
ejpam-5581	760	93	g	g	NOUN
ejpam-5581	760	94	(	(	PUNCT
ejpam-5581	760	95	k	k	NOUN
ejpam-5581	760	96	)	)	PUNCT
ejpam-5581	760	97	5	5	NUM
ejpam-5581	760	98	,	,	PUNCT
ejpam-5581	760	99	γ1	γ1	PROPN
ejpam-5581	760	100	=	=	SYM
ejpam-5581	760	101	g	g	PROPN
ejpam-5581	760	102	(	(	PUNCT
ejpam-5581	760	103	a	a	NOUN
ejpam-5581	760	104	)	)	PUNCT
ejpam-5581	760	105	1	1	NUM
ejpam-5581	760	106	λ	λ	NOUN
ejpam-5581	760	107	,	,	PUNCT
ejpam-5581	760	108	γ2	γ2	PROPN
ejpam-5581	760	109	=	=	SYM
ejpam-5581	760	110	g	g	PROPN
ejpam-5581	760	111	(	(	PUNCT
ejpam-5581	760	112	p	p	NOUN
ejpam-5581	760	113	)	)	PUNCT
ejpam-5581	760	114	1	1	NUM
ejpam-5581	760	115	λ	λ	NOUN
ejpam-5581	760	116	,	,	PUNCT
ejpam-5581	760	117	γ3	γ3	NOUN
ejpam-5581	760	118	=	=	SYM
ejpam-5581	760	119	(	(	PUNCT
ejpam-5581	760	120	g	g	PROPN
ejpam-5581	760	121	(	(	PUNCT
ejpam-5581	760	122	a	a	NOUN
ejpam-5581	760	123	)	)	PUNCT
ejpam-5581	760	124	1	1	NUM
ejpam-5581	760	125	)	)	PUNCT
ejpam-5581	760	126	2λ	2λ	NOUN
ejpam-5581	760	127	,	,	PUNCT
ejpam-5581	760	128	γ4	γ4	NOUN
ejpam-5581	760	129	=	=	SYM
ejpam-5581	760	130	(	(	PUNCT
ejpam-5581	760	131	g	g	PROPN
ejpam-5581	760	132	(	(	PUNCT
ejpam-5581	760	133	p	p	NOUN
ejpam-5581	760	134	)	)	PUNCT
ejpam-5581	760	135	1	1	NUM
ejpam-5581	760	136	)	)	PUNCT
ejpam-5581	760	137	2λ	2λ	NOUN
ejpam-5581	760	138	,	,	PUNCT
ejpam-5581	760	139	γ5	γ5	NOUN
ejpam-5581	760	140	=	=	SYM
ejpam-5581	760	141	ξ	ξ	SYM
ejpam-5581	760	142	6	6	NUM
ejpam-5581	760	143	[	[	SYM
ejpam-5581	760	144	3	3	NUM
ejpam-5581	760	145	(	(	PUNCT
ejpam-5581	760	146	δ	δ	PROPN
ejpam-5581	760	147	−	−	PROPN
ejpam-5581	760	148	δϵ)2	δϵ)2	PROPN
ejpam-5581	760	149	(	(	PUNCT
ejpam-5581	760	150	δ	δ	PROPN
ejpam-5581	760	151	+	+	CCONJ
ejpam-5581	760	152	δϵ+	δϵ+	VERB
ejpam-5581	760	153	1	1	NUM
ejpam-5581	760	154	)	)	PUNCT
ejpam-5581	760	155	+	+	CCONJ
ejpam-5581	760	156	(	(	PUNCT
ejpam-5581	760	157	1	1	NUM
ejpam-5581	760	158	+	+	CCONJ
ejpam-5581	760	159	ϵ	ϵ	X
ejpam-5581	760	160	)	)	PUNCT
ejpam-5581	760	161	(	(	PUNCT
ejpam-5581	760	162	3δ	3δ	NOUN
ejpam-5581	760	163	+	+	CCONJ
ejpam-5581	760	164	3δϵ+	3δϵ+	NUM
ejpam-5581	760	165	2	2	NUM
ejpam-5581	760	166	)	)	PUNCT
ejpam-5581	760	167	]	]	PUNCT
ejpam-5581	760	168	,	,	PUNCT
ejpam-5581	760	169	γ6	γ6	NOUN
ejpam-5581	760	170	=	=	NOUN
ejpam-5581	760	171	1	1	NUM
ejpam-5581	760	172	+	+	NUM
ejpam-5581	760	173	2πϵαβ	2πϵαβ	NUM
ejpam-5581	760	174	+	+	CCONJ
ejpam-5581	760	175	1	1	NUM
ejpam-5581	760	176	2	2	NUM
ejpam-5581	760	177	(	(	PUNCT
ejpam-5581	760	178	2ϵ+	2ϵ+	NUM
ejpam-5581	760	179	πϵ2αβ	πϵ2αβ	NUM
ejpam-5581	760	180	)	)	PUNCT
ejpam-5581	760	181	,	,	PUNCT
ejpam-5581	760	182	γ7	γ7	PROPN
ejpam-5581	760	183	=	=	SYM
ejpam-5581	760	184	(	(	PUNCT
ejpam-5581	760	185	δ	δ	PROPN
ejpam-5581	760	186	+	+	CCONJ
ejpam-5581	760	187	δϵ)5	δϵ)5	PROPN
ejpam-5581	760	188	+	+	CCONJ
ejpam-5581	760	189	(	(	PUNCT
ejpam-5581	760	190	4	4	NUM
ejpam-5581	760	191	(	(	PUNCT
ejpam-5581	760	192	1	1	NUM
ejpam-5581	760	193	+	+	CCONJ
ejpam-5581	760	194	ϵ)−	ϵ)−	ADJ
ejpam-5581	760	195	5δ	5δ	NOUN
ejpam-5581	760	196	(	(	PUNCT
ejpam-5581	760	197	1	1	NUM
ejpam-5581	760	198	+	+	CCONJ
ejpam-5581	760	199	ϵ	ϵ	X
ejpam-5581	760	200	)	)	PUNCT
ejpam-5581	760	201	(	(	PUNCT
ejpam-5581	760	202	1	1	NUM
ejpam-5581	760	203	+	+	CCONJ
ejpam-5581	760	204	ϵ)4	ϵ)4	PROPN
ejpam-5581	760	205	)	)	PUNCT
ejpam-5581	760	206	,	,	PUNCT
ejpam-5581	760	207	γ8	γ8	NOUN
ejpam-5581	760	208	=	=	SYM
ejpam-5581	760	209	δ	δ	PROPN
ejpam-5581	760	210	(	(	PUNCT
ejpam-5581	760	211	1	1	NUM
ejpam-5581	760	212	+	+	CCONJ
ejpam-5581	760	213	ϵ	ϵ	X
ejpam-5581	760	214	)	)	PUNCT
ejpam-5581	760	215	(	(	PUNCT
ejpam-5581	760	216	(	(	PUNCT
ejpam-5581	760	217	δ	δ	PROPN
ejpam-5581	760	218	+	+	PROPN
ejpam-5581	760	219	δϵ)4	δϵ)4	PROPN
ejpam-5581	760	220	−	−	PROPN
ejpam-5581	760	221	(	(	PUNCT
ejpam-5581	760	222	1	1	NUM
ejpam-5581	760	223	+	+	CCONJ
ejpam-5581	760	224	ϵ	ϵ	NUM
ejpam-5581	760	225	)	)	PUNCT
ejpam-5581	760	226	)	)	PUNCT
ejpam-5581	760	227	,	,	PUNCT
ejpam-5581	760	228	γ9	γ9	NOUN
ejpam-5581	760	229	=	=	SYM
ejpam-5581	760	230	(	(	PUNCT
ejpam-5581	760	231	δ	δ	PROPN
ejpam-5581	760	232	+	+	CCONJ
ejpam-5581	760	233	δϵ)5	δϵ)5	PROPN
ejpam-5581	760	234	,	,	PUNCT
ejpam-5581	760	235	γ10	γ10	NOUN
ejpam-5581	760	236	=	=	SYM
ejpam-5581	760	237	(	(	PUNCT
ejpam-5581	760	238	δ	δ	PROPN
ejpam-5581	760	239	+	+	CCONJ
ejpam-5581	760	240	δϵ)7	δϵ)7	PROPN
ejpam-5581	760	241	,	,	PUNCT
