id	sid	tid	token	lemma	pos
ejpam-4751	1	1	european	european	PROPN
ejpam-4751	1	2	journal	journal	PROPN
ejpam-4751	1	3	of	of	ADP
ejpam-4751	1	4	pure	pure	ADJ
ejpam-4751	1	5	and	and	CCONJ
ejpam-4751	1	6	applied	apply	VERB
ejpam-4751	1	7	mathematics	mathematic	NOUN
ejpam-4751	1	8	vol	vol	NOUN
ejpam-4751	1	9	.	.	PUNCT
ejpam-4751	2	1	16	16	NUM
ejpam-4751	2	2	,	,	PUNCT
ejpam-4751	2	3	no	no	INTJ
ejpam-4751	2	4	.	.	NOUN
ejpam-4751	2	5	2	2	NUM
ejpam-4751	2	6	,	,	PUNCT
ejpam-4751	2	7	2023	2023	NUM
ejpam-4751	2	8	,	,	PUNCT
ejpam-4751	2	9	983	983	NUM
ejpam-4751	2	10	-	-	SYM
ejpam-4751	2	11	996	996	NUM
ejpam-4751	2	12	issn	issn	PROPN
ejpam-4751	2	13	1307	1307	NUM
ejpam-4751	2	14	-	-	SYM
ejpam-4751	2	15	5543	5543	NUM
ejpam-4751	2	16	–	–	PUNCT
ejpam-4751	2	17	ejpam.com	ejpam.com	X
ejpam-4751	2	18	published	publish	VERB
ejpam-4751	2	19	by	by	ADP
ejpam-4751	2	20	new	new	PROPN
ejpam-4751	2	21	york	york	PROPN
ejpam-4751	2	22	business	business	PROPN
ejpam-4751	2	23	global	global	PROPN
ejpam-4751	2	24	mathematical	mathematical	ADJ
ejpam-4751	2	25	model	model	NOUN
ejpam-4751	2	26	for	for	ADP
ejpam-4751	2	27	the	the	DET
ejpam-4751	2	28	effect	effect	NOUN
ejpam-4751	2	29	of	of	ADP
ejpam-4751	2	30	buoyancy	buoyancy	ADJ
ejpam-4751	2	31	forces	force	NOUN
ejpam-4751	2	32	on	on	ADP
ejpam-4751	2	33	the	the	DET
ejpam-4751	2	34	stability	stability	NOUN
ejpam-4751	2	35	of	of	ADP
ejpam-4751	2	36	a	a	DET
ejpam-4751	2	37	fluid	fluid	ADJ
ejpam-4751	2	38	flow	flow	NOUN
ejpam-4751	2	39	maysoon	maysoon	NOUN
ejpam-4751	2	40	m.	m.	NOUN
ejpam-4751	2	41	aziz	aziz	PROPN
ejpam-4751	2	42	department	department	PROPN
ejpam-4751	2	43	of	of	ADP
ejpam-4751	2	44	mathematics	mathematics	PROPN
ejpam-4751	2	45	,	,	PUNCT
ejpam-4751	2	46	college	college	NOUN
ejpam-4751	2	47	of	of	ADP
ejpam-4751	2	48	computer	computer	NOUN
ejpam-4751	2	49	sciences	sciences	PROPN
ejpam-4751	2	50	and	and	CCONJ
ejpam-4751	2	51	mathematics	mathematic	NOUN
ejpam-4751	2	52	,	,	PUNCT
ejpam-4751	2	53	university	university	NOUN
ejpam-4751	2	54	of	of	ADP
ejpam-4751	2	55	mosul	mosul	PROPN
ejpam-4751	2	56	,	,	PUNCT
ejpam-4751	2	57	mosul	mosul	PROPN
ejpam-4751	2	58	,	,	PUNCT
ejpam-4751	2	59	iraq	iraq	PROPN
ejpam-4751	2	60	abstract	abstract	NOUN
ejpam-4751	2	61	.	.	PUNCT
ejpam-4751	3	1	stability	stability	NOUN
ejpam-4751	3	2	analysis	analysis	NOUN
ejpam-4751	3	3	of	of	ADP
ejpam-4751	3	4	heat	heat	NOUN
ejpam-4751	3	5	transfer	transfer	NOUN
ejpam-4751	3	6	(	(	PUNCT
ejpam-4751	3	7	by	by	ADP
ejpam-4751	3	8	conduction	conduction	NOUN
ejpam-4751	3	9	,	,	PUNCT
ejpam-4751	3	10	convection	convection	NOUN
ejpam-4751	3	11	,	,	PUNCT
ejpam-4751	3	12	and	and	CCONJ
ejpam-4751	3	13	radiation	radiation	NOUN
ejpam-4751	3	14	)	)	PUNCT
ejpam-4751	3	15	has	have	AUX
ejpam-4751	3	16	been	be	AUX
ejpam-4751	3	17	found	find	VERB
ejpam-4751	3	18	for	for	ADP
ejpam-4751	3	19	a	a	DET
ejpam-4751	3	20	model	model	NOUN
ejpam-4751	3	21	of	of	ADP
ejpam-4751	3	22	flow	flow	NOUN
ejpam-4751	3	23	between	between	ADP
ejpam-4751	3	24	two	two	NUM
ejpam-4751	3	25	horizontal	horizontal	ADJ
ejpam-4751	3	26	plates	plate	NOUN
ejpam-4751	3	27	,	,	PUNCT
ejpam-4751	3	28	one	one	NUM
ejpam-4751	3	29	of	of	ADP
ejpam-4751	3	30	them	they	PRON
ejpam-4751	3	31	is	be	AUX
ejpam-4751	3	32	thermally	thermally	ADV
ejpam-4751	3	33	insulated	insulate	VERB
ejpam-4751	3	34	.	.	PUNCT
ejpam-4751	4	1	the	the	DET
ejpam-4751	4	2	stability	stability	NOUN
ejpam-4751	4	3	measure	measure	NOUN
ejpam-4751	4	4	through	through	ADP
ejpam-4751	4	5	the	the	DET
ejpam-4751	4	6	neutral	neutral	ADJ
ejpam-4751	4	7	curve	curve	NOUN
ejpam-4751	4	8	for	for	ADP
ejpam-4751	4	9	this	this	DET
ejpam-4751	4	10	model	model	NOUN
ejpam-4751	4	11	shows	show	VERB
ejpam-4751	4	12	that	that	SCONJ
ejpam-4751	4	13	an	an	DET
ejpam-4751	4	14	increase	increase	NOUN
ejpam-4751	4	15	of	of	ADP
ejpam-4751	4	16	the	the	DET
ejpam-4751	4	17	buoyancy	buoyancy	NOUN
ejpam-4751	4	18	represented	represent	VERB
ejpam-4751	4	19	by	by	ADP
ejpam-4751	4	20	gershoff	gershoff	NOUN
ejpam-4751	4	21	number	number	NOUN
ejpam-4751	4	22	(	(	PUNCT
ejpam-4751	4	23	gr	gr	NOUN
ejpam-4751	4	24	)	)	PUNCT
ejpam-4751	4	25	leads	lead	VERB
ejpam-4751	4	26	to	to	ADP
ejpam-4751	4	27	an	an	DET
ejpam-4751	4	28	increase	increase	NOUN
ejpam-4751	4	29	in	in	ADP
ejpam-4751	4	30	stability	stability	NOUN
ejpam-4751	4	31	region	region	NOUN
ejpam-4751	4	32	,	,	PUNCT
ejpam-4751	4	33	especially	especially	ADV
ejpam-4751	4	34	for	for	ADP
ejpam-4751	4	35	the	the	DET
ejpam-4751	4	36	considerable	considerable	ADJ
ejpam-4751	4	37	value	value	NOUN
ejpam-4751	4	38	of	of	ADP
ejpam-4751	4	39	reynolds	reynolds	PROPN
ejpam-4751	4	40	number	number	PROPN
ejpam-4751	4	41	r.	r.	PROPN
ejpam-4751	4	42	the	the	DET
ejpam-4751	4	43	results	result	NOUN
ejpam-4751	4	44	indicated	indicate	VERB
ejpam-4751	4	45	that	that	SCONJ
ejpam-4751	4	46	the	the	DET
ejpam-4751	4	47	effects	effect	NOUN
ejpam-4751	4	48	of	of	ADP
ejpam-4751	4	49	buoyancy	buoyancy	NOUN
ejpam-4751	4	50	forces	force	NOUN
ejpam-4751	4	51	have	have	VERB
ejpam-4751	4	52	significant	significant	ADJ
ejpam-4751	4	53	contribution	contribution	NOUN
ejpam-4751	4	54	to	to	ADP
ejpam-4751	4	55	the	the	DET
ejpam-4751	4	56	field	field	NOUN
ejpam-4751	4	57	profiles	profile	NOUN
ejpam-4751	4	58	2020	2020	NUM
ejpam-4751	4	59	mathematics	mathematic	NOUN
ejpam-4751	4	60	subject	subject	NOUN
ejpam-4751	4	61	classifications	classification	NOUN
ejpam-4751	4	62	:	:	PUNCT
ejpam-4751	4	63	76e06	76e06	NUM
ejpam-4751	4	64	,	,	PUNCT
ejpam-4751	4	65	80a20	80a20	NUM
ejpam-4751	4	66	,	,	PUNCT
ejpam-4751	4	67	35b35	35b35	NUM
ejpam-4751	4	68	,	,	PUNCT
ejpam-4751	4	69	76m10	76m10	NUM
ejpam-4751	4	70	key	key	ADJ
ejpam-4751	4	71	words	word	NOUN
ejpam-4751	4	72	and	and	CCONJ
ejpam-4751	4	73	phrases	phrase	NOUN
ejpam-4751	4	74	:	:	PUNCT
ejpam-4751	4	75	stability	stability	NOUN
ejpam-4751	4	76	,	,	PUNCT
ejpam-4751	4	77	heat	heat	NOUN
ejpam-4751	4	78	transfer	transfer	NOUN
ejpam-4751	4	79	,	,	PUNCT
ejpam-4751	4	80	buoyancy	buoyancy	NOUN
ejpam-4751	4	81	,	,	PUNCT
ejpam-4751	4	82	gershoff	gershoff	ADJ
ejpam-4751	4	83	number	number	NOUN
ejpam-4751	4	84	1	1	NUM
ejpam-4751	4	85	.	.	PUNCT
ejpam-4751	5	1	introduction	introduction	NOUN
ejpam-4751	5	2	the	the	DET
ejpam-4751	5	3	field	field	NOUN
ejpam-4751	5	4	of	of	ADP
ejpam-4751	5	5	mathematical	mathematical	ADJ
ejpam-4751	5	6	physics	physics	NOUN
ejpam-4751	5	7	known	know	VERB
ejpam-4751	5	8	as	as	ADP
ejpam-4751	5	9	stability	stability	NOUN
ejpam-4751	5	10	theory	theory	NOUN
ejpam-4751	5	11	allows	allow	VERB
ejpam-4751	5	12	for	for	ADP
ejpam-4751	5	13	the	the	DET
ejpam-4751	5	14	derivation	derivation	NOUN
ejpam-4751	5	15	of	of	ADP
ejpam-4751	5	16	equation	equation	NOUN
ejpam-4751	5	17	-	-	PUNCT
ejpam-4751	5	18	solving	solve	VERB
ejpam-4751	5	19	statements	statement	NOUN
ejpam-4751	5	20	from	from	ADP
ejpam-4751	5	21	the	the	DET
ejpam-4751	5	22	principle	principle	NOUN
ejpam-4751	5	23	of	of	ADP
ejpam-4751	5	24	critical	critical	ADJ
ejpam-4751	5	25	values	value	NOUN
ejpam-4751	5	26	that	that	PRON
ejpam-4751	5	27	distinguishes	distinguish	VERB
ejpam-4751	5	28	the	the	DET
ejpam-4751	5	29	many	many	ADJ
ejpam-4751	5	30	regimes	regime	NOUN
ejpam-4751	5	31	of	of	ADP
ejpam-4751	5	32	flow	flow	NOUN
ejpam-4751	5	33	as	as	ADV
ejpam-4751	5	34	well	well	ADV
ejpam-4751	5	35	as	as	ADP
ejpam-4751	5	36	the	the	DET
ejpam-4751	5	37	types	type	NOUN
ejpam-4751	5	38	of	of	ADP
ejpam-4751	5	39	fluid	fluid	ADJ
ejpam-4751	5	40	motion	motion	NOUN
ejpam-4751	5	41	that	that	PRON
ejpam-4751	5	42	occur	occur	VERB
ejpam-4751	5	43	in	in	ADP
ejpam-4751	5	44	each	each	PRON
ejpam-4751	5	45	of	of	ADP
ejpam-4751	5	46	these	these	DET
ejpam-4751	5	47	regimes	regime	NOUN
ejpam-4751	5	48	.	.	PUNCT
ejpam-4751	6	1	chaotic	chaotic	ADJ
ejpam-4751	6	2	behavior	behavior	NOUN
ejpam-4751	6	3	and	and	CCONJ
ejpam-4751	6	4	heat	heat	NOUN
ejpam-4751	6	5	transfer	transfer	NOUN
ejpam-4751	6	6	performance	performance	NOUN
ejpam-4751	6	7	are	be	AUX
ejpam-4751	6	8	represented	represent	VERB
ejpam-4751	6	9	very	very	ADV
ejpam-4751	6	10	accurately	accurately	ADV
ejpam-4751	6	11	[	[	X
ejpam-4751	6	12	4–6	4–6	X
ejpam-4751	6	13	]	]	X
ejpam-4751	6	14	.	.	PUNCT
ejpam-4751	7	1	any	any	DET
ejpam-4751	7	2	system	system	NOUN
ejpam-4751	7	3	whatsoever	whatsoever	ADV
ejpam-4751	7	4	can	can	AUX
ejpam-4751	7	5	be	be	AUX
ejpam-4751	7	6	disturbed	disturb	VERB
ejpam-4751	7	7	,	,	PUNCT
ejpam-4751	7	8	and	and	CCONJ
ejpam-4751	7	9	the	the	DET
ejpam-4751	7	10	question	question	NOUN
ejpam-4751	7	11	is	be	AUX
ejpam-4751	7	12	(	(	PUNCT
ejpam-4751	7	13	does	do	AUX
ejpam-4751	7	14	that	that	DET
ejpam-4751	7	15	disturbance	disturbance	NOUN
ejpam-4751	7	16	die	die	VERB
ejpam-4751	7	17	down	down	ADP
ejpam-4751	7	18	or	or	CCONJ
ejpam-4751	7	19	grows	grow	VERB
ejpam-4751	7	20	up	up	ADP
ejpam-4751	7	21	with	with	ADP
ejpam-4751	7	22	time	time	NOUN
ejpam-4751	7	23	-	-	PUNCT
ejpam-4751	7	24	lapse	lapse	NOUN
ejpam-4751	7	25	)	)	PUNCT
ejpam-4751	8	1	[	[	X
ejpam-4751	8	2	7	7	NUM
ejpam-4751	8	3	,	,	PUNCT
ejpam-4751	8	4	8	8	NUM
ejpam-4751	8	5	]	]	PUNCT
ejpam-4751	8	6	.	.	PUNCT
ejpam-4751	9	1	the	the	DET
ejpam-4751	9	2	presence	presence	NOUN
ejpam-4751	9	3	of	of	ADP
ejpam-4751	9	4	buoyancy	buoyancy	NOUN
ejpam-4751	9	5	forces	force	NOUN
ejpam-4751	9	6	convection	convection	NOUN
ejpam-4751	9	7	along	along	ADP
ejpam-4751	9	8	a	a	DET
ejpam-4751	9	9	flat	flat	ADJ
ejpam-4751	9	10	plate	plate	NOUN
ejpam-4751	9	11	causes	cause	VERB
ejpam-4751	9	12	a	a	DET
ejpam-4751	9	13	coupling	coupling	NOUN
ejpam-4751	9	14	between	between	ADP
ejpam-4751	9	15	the	the	DET
ejpam-4751	9	16	momentum	momentum	NOUN
ejpam-4751	9	17	and	and	CCONJ
ejpam-4751	9	18	energy	energy	NOUN
ejpam-4751	9	19	equations	equation	NOUN
ejpam-4751	9	20	and	and	CCONJ
ejpam-4751	9	21	,	,	PUNCT
ejpam-4751	9	22	at	at	ADP
ejpam-4751	9	23	the	the	DET
ejpam-4751	9	24	same	same	ADJ
ejpam-4751	9	25	time	time	NOUN
ejpam-4751	9	26	,	,	PUNCT
ejpam-4751	9	27	causes	cause	VERB
ejpam-4751	9	28	the	the	DET
ejpam-4751	9	29	boundary	boundary	ADJ
ejpam-4751	9	30	layer	layer	NOUN
ejpam-4751	9	31	to	to	PART
ejpam-4751	9	32	become	become	VERB
ejpam-4751	9	33	non	non	ADJ
ejpam-4751	9	34	-	-	ADJ
ejpam-4751	9	35	similar	similar	ADJ
ejpam-4751	9	36	[	[	X
ejpam-4751	9	37	2	2	NUM
ejpam-4751	9	38	,	,	PUNCT
ejpam-4751	9	39	3	3	NUM
ejpam-4751	9	40	,	,	PUNCT
ejpam-4751	9	41	9	9	NUM
ejpam-4751	9	42	,	,	PUNCT
ejpam-4751	9	43	10	10	NUM
ejpam-4751	9	44	,	,	PUNCT
ejpam-4751	9	45	13	13	NUM
ejpam-4751	9	46	]	]	PUNCT
ejpam-4751	9	47	.	.	PUNCT
ejpam-4751	10	1	mori	mori	PROPN
ejpam-4751	10	2	,	,	PUNCT
ejpam-4751	10	3	y.	y.	PROPN
ejpam-4751	11	1	[	[	X
ejpam-4751	11	2	11	11	NUM
ejpam-4751	11	3	]	]	PUNCT
ejpam-4751	11	4	has	have	AUX
ejpam-4751	11	5	discussed	discuss	VERB
ejpam-4751	11	6	the	the	DET
ejpam-4751	11	7	effects	effect	NOUN
ejpam-4751	11	8	of	of	ADP
ejpam-4751	11	9	buoyancy	buoyancy	NOUN
ejpam-4751	11	10	forces	force	NOUN
ejpam-4751	11	11	in	in	ADP
ejpam-4751	11	12	a	a	DET
ejpam-4751	11	13	forced	force	VERB
ejpam-4751	11	14	laminar	laminar	ADJ
ejpam-4751	11	15	convection	convection	NOUN
ejpam-4751	11	16	flow	flow	NOUN
ejpam-4751	11	17	over	over	ADP
ejpam-4751	11	18	a	a	DET
ejpam-4751	11	19	horizontal	horizontal	ADJ
ejpam-4751	11	20	plate	plate	NOUN
ejpam-4751	11	21	,	,	PUNCT
ejpam-4751	11	22	it	it	PRON
ejpam-4751	11	23	is	be	AUX
ejpam-4751	11	24	shown	show	VERB
ejpam-4751	11	25	that	that	SCONJ
ejpam-4751	11	26	the	the	DET
ejpam-4751	11	27	solution	solution	NOUN
ejpam-4751	11	28	may	may	AUX
ejpam-4751	11	29	be	be	AUX
ejpam-4751	11	30	expanded	expand	VERB
ejpam-4751	11	31	into	into	ADP
ejpam-4751	11	32	power	power	NOUN
ejpam-4751	11	33	series	series	NOUN
ejpam-4751	11	34	in	in	ADP
ejpam-4751	11	35	gr	gr	PROPN
ejpam-4751	11	36	/	/	SYM
ejpam-4751	11	37	re	re	X
ejpam-4751	11	38	whose	whose	DET
ejpam-4751	11	39	first	first	ADJ
ejpam-4751	11	40	terms	term	NOUN
ejpam-4751	11	41	express	express	VERB
ejpam-4751	11	42	solution	solution	NOUN
ejpam-4751	11	43	for	for	ADP
ejpam-4751	11	44	the	the	DET
ejpam-4751	11	45	purely	purely	ADV
ejpam-4751	11	46	forced	force	VERB
ejpam-4751	11	47	convection	convection	NOUN
ejpam-4751	11	48	flow	flow	NOUN
ejpam-4751	11	49	.	.	PUNCT
ejpam-4751	12	1	a	a	DET
ejpam-4751	12	2	bu	bu	ADJ
ejpam-4751	12	3	-	-	PUNCT
ejpam-4751	12	4	mulaweh	mulaweh	ADJ
ejpam-4751	12	5	h.i	h.i	PROPN
ejpam-4751	12	6	.	.	PROPN
ejpam-4751	13	1	and	and	CCONJ
ejpam-4751	13	2	others	other	NOUN
ejpam-4751	14	1	[	[	X
ejpam-4751	14	2	1	1	X
ejpam-4751	14	3	]	]	PUNCT
ejpam-4751	14	4	have	have	AUX
ejpam-4751	14	5	discussed	discuss	VERB
ejpam-4751	14	6	the	the	DET
ejpam-4751	14	7	measurements	measurement	NOUN
ejpam-4751	14	8	of	of	ADP
ejpam-4751	14	9	velocity	velocity	NOUN
ejpam-4751	14	10	and	and	CCONJ
ejpam-4751	14	11	temperature	temperature	NOUN
ejpam-4751	14	12	distributions	distribution	NOUN
ejpam-4751	14	13	and	and	CCONJ
ejpam-4751	14	14	reported	report	VERB
ejpam-4751	14	15	for	for	ADP
ejpam-4751	14	16	buoyancy	buoyancy	NOUN
ejpam-4751	14	17	–	–	PUNCT
ejpam-4751	14	18	opposing	opposing	ADJ
ejpam-4751	14	19	,	,	PUNCT
ejpam-4751	14	20	laminar	laminar	ADJ
ejpam-4751	14	21	,	,	PUNCT
ejpam-4751	14	22	mixed	mixed	ADJ
ejpam-4751	14	23	convection	convection	NOUN
ejpam-4751	14	24	flow	flow	NOUN
ejpam-4751	14	25	over	over	ADP
ejpam-4751	14	26	a	a	DET
ejpam-4751	14	27	vertical	vertical	ADJ
ejpam-4751	14	28	back	back	NOUN
ejpam-4751	14	29	ward	ward	NOUN
ejpam-4751	14	30	–	–	PUNCT
ejpam-4751	14	31	facing	face	VERB
ejpam-4751	14	32	step	step	NOUN
ejpam-4751	14	33	.	.	PUNCT
ejpam-4751	15	1	doi	doi	NOUN
ejpam-4751	15	2	:	:	PUNCT
ejpam-4751	15	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4751	https://doi.org/10.29020/nybg.ejpam.v16i2.4751	ADJ
ejpam-4751	15	4	email	email	NOUN
ejpam-4751	15	5	addresses	address	NOUN
ejpam-4751	15	6	:	:	PUNCT
ejpam-4751	15	7	aziz	aziz	PROPN
ejpam-4751	15	8	maysoon@uomosul.edu.iq	maysoon@uomosul.edu.iq	PROPN
ejpam-4751	15	9	(	(	PUNCT
ejpam-4751	15	10	m.	m.	PROPN
ejpam-4751	15	11	m.	m.	PROPN
ejpam-4751	15	12	aziz	aziz	PROPN
ejpam-4751	15	13	)	)	PUNCT
ejpam-4751	15	14	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4751	15	15	983	983	NUM
ejpam-4751	16	1	©	©	ADP
ejpam-4751	16	2	2023	2023	NUM
ejpam-4751	16	3	ejpam	ejpam	NOUN
ejpam-4751	16	4	all	all	DET
ejpam-4751	16	5	rights	right	NOUN
ejpam-4751	16	6	reserved	reserve	VERB
ejpam-4751	16	7	.	.	PUNCT
ejpam-4751	17	1	m.	m.	NOUN
ejpam-4751	17	2	m.	m.	PROPN
ejpam-4751	17	3	aziz	aziz	PROPN
ejpam-4751	17	4	/	/	SYM
ejpam-4751	17	5	eur	eur	PROPN
ejpam-4751	17	6	.	.	PUNCT
ejpam-4751	18	1	j.	j.	PROPN
ejpam-4751	18	2	pure	pure	PROPN
ejpam-4751	18	3	appl	appl	PROPN
ejpam-4751	18	4	.	.	PROPN
ejpam-4751	18	5	math	math	PROPN
ejpam-4751	18	6	,	,	PUNCT
ejpam-4751	18	7	16	16	NUM
ejpam-4751	18	8	(	(	PUNCT
ejpam-4751	18	9	2	2	NUM
ejpam-4751	18	10	)	)	PUNCT
ejpam-4751	18	11	(	(	PUNCT
ejpam-4751	18	12	2023	2023	NUM
ejpam-4751	18	13	)	)	PUNCT
ejpam-4751	18	14	,	,	PUNCT
ejpam-4751	18	15	983	983	NUM
ejpam-4751	18	16	-	-	SYM
ejpam-4751	18	17	996	996	NUM
ejpam-4751	18	18	984	984	NUM
ejpam-4751	18	19	maulucci	maulucci	NOUN
ejpam-4751	18	20	s.v	s.v	PROPN
ejpam-4751	18	21	.	.	PUNCT
ejpam-4751	19	1	[	[	X
ejpam-4751	19	2	12	12	NUM
ejpam-4751	19	3	]	]	PUNCT
ejpam-4751	19	4	has	have	AUX
ejpam-4751	19	5	discussed	discuss	VERB
ejpam-4751	19	6	the	the	DET
ejpam-4751	19	7	characteristics	characteristic	NOUN
ejpam-4751	19	8	of	of	ADP
ejpam-4751	19	9	spatial	spatial	ADJ
ejpam-4751	19	10	type	type	NOUN
ejpam-4751	19	11	waves	wave	NOUN
ejpam-4751	19	12	in	in	ADP
ejpam-4751	19	13	the	the	DET
ejpam-4751	19	14	boundary	boundary	ADJ
ejpam-4751	19	15	layer	layer	NOUN
ejpam-4751	19	16	of	of	ADP
ejpam-4751	19	17	incompressible	incompressible	ADJ
ejpam-4751	19	18	fluid	fluid	NOUN
ejpam-4751	19	19	on	on	ADP
ejpam-4751	19	20	a	a	DET
ejpam-4751	19	21	flat	flat	ADJ
ejpam-4751	19	22	plate	plate	NOUN
ejpam-4751	19	23	at	at	ADP
ejpam-4751	19	24	high	high	ADJ
ejpam-4751	19	25	reynolds	reynolds	PROPN
ejpam-4751	19	26	number	number	PROPN
ejpam-4751	19	27	r.	r.	PROPN
ejpam-4751	19	28	the	the	DET
ejpam-4751	19	29	stability	stability	NOUN
ejpam-4751	19	30	of	of	ADP
ejpam-4751	19	31	a	a	DET
ejpam-4751	19	32	model	model	NOUN
ejpam-4751	19	33	of	of	ADP
ejpam-4751	19	34	heat	heat	NOUN
ejpam-4751	19	35	transfer	transfer	NOUN
ejpam-4751	19	36	by	by	ADP
ejpam-4751	19	37	conduction	conduction	NOUN
ejpam-4751	19	38	and	and	CCONJ
ejpam-4751	19	39	convection	convection	NOUN
ejpam-4751	19	40	through	through	ADP
ejpam-4751	19	41	a	a	DET
ejpam-4751	19	42	porous	porous	ADJ
ejpam-4751	19	43	medium	medium	NOUN
ejpam-4751	19	44	has	have	AUX
ejpam-4751	19	45	been	be	AUX
ejpam-4751	19	46	investigated	investigate	VERB
ejpam-4751	19	47	by	by	ADP
ejpam-4751	19	48	aziz	aziz	PROPN
ejpam-4751	19	49	m.	m.	NOUN
ejpam-4751	19	50	al	al	PROPN
ejpam-4751	20	1	[	[	X
ejpam-4751	20	2	13	13	NUM
ejpam-4751	20	3	]	]	PUNCT
ejpam-4751	20	4	.	.	PUNCT
ejpam-4751	21	1	the	the	DET
ejpam-4751	21	2	resulting	result	VERB
ejpam-4751	21	3	analysis	analysis	NOUN
ejpam-4751	21	4	shows	show	VERB
ejpam-4751	21	5	that	that	SCONJ
ejpam-4751	21	6	the	the	DET
ejpam-4751	21	7	imposed	impose	VERB
ejpam-4751	21	8	disturbances	disturbance	NOUN
ejpam-4751	21	9	are	be	AUX
ejpam-4751	21	10	dying	die	VERB
ejpam-4751	21	11	down	down	ADP
ejpam-4751	21	12	,	,	PUNCT
ejpam-4751	21	13	and	and	CCONJ
ejpam-4751	21	14	the	the	DET
ejpam-4751	21	15	system	system	NOUN
ejpam-4751	21	16	under	under	ADP
ejpam-4751	21	17	consideration	consideration	NOUN
ejpam-4751	21	18	is	be	AUX
ejpam-4751	21	19	always	always	ADV
ejpam-4751	21	20	stable	stable	ADJ
ejpam-4751	21	21	.	.	PUNCT
ejpam-4751	22	1	the	the	DET
ejpam-4751	22	2	present	present	ADJ
ejpam-4751	22	3	paper	paper	NOUN
ejpam-4751	22	4	is	be	AUX
ejpam-4751	22	5	to	to	PART
ejpam-4751	22	6	investigate	investigate	VERB
ejpam-4751	22	7	the	the	DET
ejpam-4751	22	8	effect	effect	NOUN
ejpam-4751	22	9	of	of	ADP
ejpam-4751	22	10	buoyancy	buoyancy	NOUN
ejpam-4751	22	11	forces	force	NOUN
ejpam-4751	22	12	one	one	NUM
ejpam-4751	22	13	of	of	ADP
ejpam-4751	22	14	stability	stability	NOUN
ejpam-4751	22	15	of	of	ADP
ejpam-4751	22	16	fluid	fluid	ADJ
ejpam-4751	22	17	flow	flow	NOUN
ejpam-4751	22	18	between	between	ADP
ejpam-4751	22	19	two	two	NUM
ejpam-4751	22	20	plates	plate	NOUN
ejpam-4751	22	21	on	on	ADP
ejpam-4751	22	22	them	they	PRON
ejpam-4751	22	23	is	be	AUX
ejpam-4751	22	24	thermally	thermally	ADV
ejpam-4751	22	25	insulated	insulate	VERB
ejpam-4751	22	26	.	.	PUNCT
ejpam-4751	23	1	2	2	X
ejpam-4751	23	2	.	.	X
ejpam-4751	23	3	formulation	formulation	NOUN
ejpam-4751	23	4	of	of	ADP
ejpam-4751	23	5	the	the	DET
ejpam-4751	23	6	model	model	NOUN
ejpam-4751	23	7	and	and	CCONJ
ejpam-4751	23	8	solution	solution	NOUN
ejpam-4751	23	9	considering	consider	VERB
ejpam-4751	23	10	a	a	DET
ejpam-4751	23	11	fluid	fluid	NOUN
ejpam-4751	23	12	moving	move	VERB
ejpam-4751	23	13	laminarly	laminarly	ADV
ejpam-4751	23	14	between	between	ADP
ejpam-4751	23	15	two	two	NUM
ejpam-4751	23	16	parallel	parallel	ADJ
ejpam-4751	23	17	horizontal	horizontal	ADJ
ejpam-4751	23	18	wall	wall	NOUN
ejpam-4751	23	19	separations	separation	NOUN
ejpam-4751	23	20	of	of	ADP
ejpam-4751	23	21	2h	2h	NUM
ejpam-4751	23	22	distance	distance	NOUN
ejpam-4751	23	23	,	,	PUNCT
ejpam-4751	23	24	one	one	NUM
ejpam-4751	23	25	of	of	ADP
ejpam-4751	23	26	them	they	PRON
ejpam-4751	23	27	is	be	AUX
ejpam-4751	23	28	thermally	thermally	ADV
ejpam-4751	23	29	insulated	insulate	VERB
ejpam-4751	23	30	.	.	PUNCT
ejpam-4751	24	1	choosing	choose	VERB
ejpam-4751	24	2	the	the	DET
ejpam-4751	24	3	coordinate	coordinate	NOUN
ejpam-4751	24	4	framework	framework	NOUN
ejpam-4751	24	5	.	.	PUNCT
ejpam-4751	25	1	the	the	DET
ejpam-4751	25	2	x	x	X
ejpam-4751	25	3	-	-	ADJ
ejpam-4751	25	4	axis	axis	NOUN
ejpam-4751	25	5	is	be	AUX
ejpam-4751	25	6	parallel	parallel	ADJ
ejpam-4751	25	7	to	to	ADP
ejpam-4751	25	8	the	the	DET
ejpam-4751	25	9	channel	channel	NOUN
ejpam-4751	25	10	and	and	CCONJ
ejpam-4751	25	11	along	along	ADP
ejpam-4751	25	12	the	the	DET
ejpam-4751	25	13	direction	direction	NOUN
ejpam-4751	25	14	of	of	ADP
ejpam-4751	25	15	the	the	DET
ejpam-4751	25	16	flow	flow	NOUN
ejpam-4751	25	17	,	,	PUNCT
ejpam-4751	25	18	and	and	CCONJ
ejpam-4751	25	19	the	the	DET
ejpam-4751	25	20	y	y	NOUN
ejpam-4751	25	21	-	-	PUNCT
ejpam-4751	25	22	axis	axis	NOUN
ejpam-4751	25	23	is	be	AUX
ejpam-4751	25	24	taken	take	VERB
ejpam-4751	25	25	as	as	ADP
ejpam-4751	25	26	the	the	DET
ejpam-4751	25	27	vertical	vertical	ADJ
ejpam-4751	25	28	coordinate	coordinate	NOUN
ejpam-4751	25	29	measured	measure	VERB
ejpam-4751	25	30	position	position	NOUN
ejpam-4751	25	31	upward	upward	ADV
ejpam-4751	25	32	,	,	PUNCT
ejpam-4751	25	33	wilts	wilt	VERB
ejpam-4751	25	34	the	the	DET
ejpam-4751	25	35	z	z	NOUN
ejpam-4751	25	36	-	-	PUNCT
ejpam-4751	25	37	axis	axis	NOUN
ejpam-4751	25	38	is	be	AUX
ejpam-4751	25	39	the	the	DET
ejpam-4751	25	40	direction	direction	NOUN
ejpam-4751	25	41	mutually	mutually	ADV
ejpam-4751	25	42	orthogonal	orthogonal	ADJ
ejpam-4751	25	43	to	to	ADP
ejpam-4751	25	44	the	the	DET
ejpam-4751	25	45	other	other	ADJ
ejpam-4751	25	46	two	two	NUM
ejpam-4751	25	47	axes	axis	NOUN
ejpam-4751	25	48	.	.	PUNCT
ejpam-4751	26	1	the	the	DET
ejpam-4751	26	2	basic	basic	ADJ
ejpam-4751	26	3	differential	differential	NOUN
ejpam-4751	26	4	equation	equation	NOUN
ejpam-4751	26	5	governing	govern	VERB
ejpam-4751	26	6	such	such	DET
ejpam-4751	26	7	a	a	DET
ejpam-4751	26	8	model	model	NOUN
ejpam-4751	26	9	can	can	AUX
ejpam-4751	26	10	be	be	AUX
ejpam-4751	26	11	summarized	summarize	VERB
ejpam-4751	26	12	as	as	SCONJ
ejpam-4751	26	13	follows	follow	VERB
ejpam-4751	26	14	:	:	PUNCT
ejpam-4751	26	15	2.1	2.1	NUM
ejpam-4751	26	16	.	.	PUNCT
ejpam-4751	27	1	stat	stat	PROPN
ejpam-4751	27	2	equation	equation	NOUN
ejpam-4751	27	3	ρ	ρ	PROPN
ejpam-4751	27	4	=	=	PROPN
ejpam-4751	27	5	ρ0[1−	ρ0[1−	PROPN
ejpam-4751	27	6	β1(t	β1(t	PUNCT
ejpam-4751	27	7	−	−	PROPN
ejpam-4751	27	8	t1	t1	NOUN
ejpam-4751	27	9	)	)	PUNCT
ejpam-4751	27	10	]	]	PUNCT
ejpam-4751	27	11	.	.	PUNCT
ejpam-4751	28	1	(	(	PUNCT
ejpam-4751	28	2	1	1	X
ejpam-4751	28	3	)	)	PUNCT
ejpam-4751	28	4	where	where	SCONJ
ejpam-4751	28	5	β1	β1	PROPN
ejpam-4751	28	6	is	be	AUX
ejpam-4751	28	7	the	the	DET
ejpam-4751	28	8	coefficient	coefficient	NOUN
ejpam-4751	28	9	of	of	ADP
ejpam-4751	28	10	thermal	thermal	ADJ
ejpam-4751	28	11	expansion	expansion	NOUN
ejpam-4751	28	12	,	,	PUNCT
ejpam-4751	28	13	t1	t1	PROPN
ejpam-4751	28	14	is	be	AUX
ejpam-4751	28	15	the	the	DET
ejpam-4751	28	16	characteristic	characteristic	ADJ
ejpam-4751	28	17	temperature	temperature	NOUN
ejpam-4751	28	18	,	,	PUNCT
ejpam-4751	28	19	and	and	CCONJ
ejpam-4751	28	20	ρ	ρ	NOUN
ejpam-4751	28	21	is	be	AUX
ejpam-4751	28	22	the	the	DET
ejpam-4751	28	23	density	density	NOUN
ejpam-4751	28	24	.	.	PUNCT
ejpam-4751	29	1	2.2	2.2	NUM
ejpam-4751	29	2	.	.	PUNCT
ejpam-4751	29	3	continuity	continuity	NOUN
ejpam-4751	29	4	equation	equation	NOUN
ejpam-4751	29	5	a	a	DET
ejpam-4751	29	6	small	small	ADJ
ejpam-4751	29	7	size	size	NOUN
ejpam-4751	29	8	component	component	NOUN
ejpam-4751	29	9	by	by	ADP
ejpam-4751	29	10	taking	take	VERB
ejpam-4751	29	11	and	and	CCONJ
ejpam-4751	29	12	calculating	calculate	VERB
ejpam-4751	29	13	the	the	DET
ejpam-4751	29	14	force	force	NOUN
ejpam-4751	29	15	balance	balance	NOUN
ejpam-4751	29	16	condition	condition	NOUN
ejpam-4751	29	17	from	from	ADP
ejpam-4751	29	18	which	which	PRON
ejpam-4751	29	19	the	the	DET
ejpam-4751	29	20	continuity	continuity	NOUN
ejpam-4751	29	21	equation	equation	NOUN
ejpam-4751	29	22	can	can	AUX
ejpam-4751	29	23	be	be	AUX
ejpam-4751	29	24	deduced	deduce	VERB
ejpam-4751	29	25	in	in	ADP
ejpam-4751	29	26	the	the	DET
ejpam-4751	29	27	general	general	ADJ
ejpam-4751	29	28	case	case	NOUN
ejpam-4751	29	29	in	in	ADP
ejpam-4751	29	30	which	which	PRON
ejpam-4751	29	31	the	the	DET
ejpam-4751	29	32	flow	flow	NOUN
ejpam-4751	29	33	is	be	AUX
ejpam-4751	29	34	compressive	compressive	ADJ
ejpam-4751	29	35	and	and	CCONJ
ejpam-4751	29	36	unsteady	unsteady	ADJ
ejpam-4751	29	37	flow	flow	NOUN
ejpam-4751	29	38	in	in	ADP
ejpam-4751	29	39	three	three	NUM
ejpam-4751	29	40	-dimensions	-dimension	NOUN
ejpam-4751	29	41	:	:	PUNCT
ejpam-4751	29	42	∂ρ	∂ρ	PROPN
ejpam-4751	29	43	∂t	∂t	PROPN
ejpam-4751	29	44	+	+	CCONJ
ejpam-4751	29	45	∂(ρu	∂(ρu	NOUN
ejpam-4751	29	46	)	)	PUNCT
ejpam-4751	30	1	∂x	∂x	PROPN
ejpam-4751	30	2	+	+	CCONJ
ejpam-4751	30	3	∂(ρv	∂(ρv	ADJ
ejpam-4751	30	4	)	)	PUNCT
ejpam-4751	31	1	∂y	∂y	NOUN
ejpam-4751	31	2	+	+	NOUN
ejpam-4751	31	3	∂(ρw	∂(ρw	NOUN
ejpam-4751	31	4	)	)	PUNCT
ejpam-4751	32	1	∂z	∂z	PROPN
ejpam-4751	33	1	=	=	PUNCT
ejpam-4751	33	2	0	0	PROPN
ejpam-4751	33	3	.	.	PUNCT
ejpam-4751	34	1	(	(	PUNCT
ejpam-4751	34	2	2	2	X
ejpam-4751	34	3	)	)	PUNCT
ejpam-4751	34	4	where	where	SCONJ
ejpam-4751	34	5	is	be	AUX
ejpam-4751	34	6	the	the	DET
ejpam-4751	34	7	density	density	NOUN
ejpam-4751	34	8	and	and	CCONJ
ejpam-4751	34	9	u	u	NOUN
ejpam-4751	34	10	,	,	PUNCT
ejpam-4751	34	11	v	v	NOUN
ejpam-4751	34	12	,	,	PUNCT
ejpam-4751	34	13	w	w	PROPN
ejpam-4751	34	14	,	,	PUNCT
ejpam-4751	34	15	are	be	AUX
ejpam-4751	34	16	the	the	DET
ejpam-4751	34	17	velocity	velocity	NOUN
ejpam-4751	34	18	components	component	NOUN
ejpam-4751	34	19	in	in	ADP
ejpam-4751	34	20	the	the	DET
ejpam-4751	34	21	x	x	PROPN
ejpam-4751	34	22	,	,	PUNCT
ejpam-4751	34	23	y	y	PROPN
ejpam-4751	34	24	,	,	PUNCT
ejpam-4751	34	25	and	and	CCONJ
ejpam-4751	34	26	z	z	NOUN
ejpam-4751	34	27	directions	direction	NOUN
ejpam-4751	34	28	,	,	PUNCT
ejpam-4751	34	29	respectively	respectively	ADV
ejpam-4751	34	30	,	,	PUNCT
ejpam-4751	34	31	which	which	PRON
ejpam-4751	34	32	are	be	AUX
ejpam-4751	34	33	functions	function	NOUN
ejpam-4751	34	34	of	of	ADP
ejpam-4751	34	35	the	the	DET
ejpam-4751	34	36	coordinates	coordinate	NOUN
ejpam-4751	34	37	x	x	NOUN
ejpam-4751	34	38	,	,	PUNCT
ejpam-4751	34	39	y	y	PROPN
ejpam-4751	34	40	,	,	PUNCT
ejpam-4751	34	41	z	z	NOUN
ejpam-4751	34	42	and	and	CCONJ
ejpam-4751	34	43	time	time	NOUN
ejpam-4751	34	44	t.	t.	PROPN
ejpam-4751	34	45	2.3	2.3	NUM
ejpam-4751	34	46	.	.	PUNCT
ejpam-4751	35	1	motion	motion	NOUN
ejpam-4751	35	2	equation	equation	NOUN
ejpam-4751	35	3	from	from	ADP
ejpam-4751	35	4	the	the	DET
ejpam-4751	35	5	second	second	ADJ
ejpam-4751	35	6	law	law	NOUN
ejpam-4751	35	7	of	of	ADP
ejpam-4751	35	8	motion	motion	NOUN
ejpam-4751	35	9	,	,	PUNCT
ejpam-4751	35	10	the	the	DET
ejpam-4751	35	11	motion	motion	NOUN
ejpam-4751	35	12	equation	equation	NOUN
ejpam-4751	35	13	ρ(v⃗	ρ(v⃗	NOUN
ejpam-4751	35	14	grad	grad	PROPN
ejpam-4751	35	15	v⃗	v⃗	PROPN
ejpam-4751	35	16	+	+	PROPN
ejpam-4751	35	17	g⃗	g⃗	PROPN
ejpam-4751	35	18	)	)	PUNCT
ejpam-4751	35	19	=	=	SYM
ejpam-4751	35	20	µ∇v⃗	µ∇v⃗	PROPN
ejpam-4751	35	21	–	–	PUNCT
ejpam-4751	35	22	grad	grad	NOUN
ejpam-4751	35	23	p.	p.	NOUN
ejpam-4751	35	24	(	(	PUNCT
ejpam-4751	35	25	3	3	NUM
ejpam-4751	35	26	)	)	PUNCT
ejpam-4751	35	27	where	where	SCONJ
ejpam-4751	35	28	µ	µ	DET
ejpam-4751	35	29	viscosity	viscosity	NOUN
ejpam-4751	35	30	,	,	PUNCT
ejpam-4751	35	31	p	p	NOUN
ejpam-4751	35	32	pressure	pressure	NOUN
ejpam-4751	35	33	and	and	CCONJ
ejpam-4751	35	34	g	g	ADP
ejpam-4751	35	35	gravitational	gravitational	ADJ
ejpam-4751	35	36	acceleration	acceleration	NOUN
ejpam-4751	35	37	.	.	PUNCT
ejpam-4751	36	1	from	from	ADP
ejpam-4751	36	2	the	the	DET
ejpam-4751	36	3	law	law	NOUN
ejpam-4751	36	4	of	of	ADP
ejpam-4751	36	5	conservation	conservation	NOUN
ejpam-4751	36	6	of	of	ADP
ejpam-4751	36	7	energy	energy	NOUN
ejpam-4751	36	8	,	,	PUNCT
ejpam-4751	36	9	the	the	DET
ejpam-4751	36	10	energy	energy	NOUN
ejpam-4751	36	11	equation	equation	NOUN
ejpam-4751	36	12	can	can	AUX
ejpam-4751	36	13	be	be	AUX
ejpam-4751	36	14	formulated	formulate	VERB
ejpam-4751	36	15	as	as	ADP
ejpam-4751	36	16	follow	follow	NOUN
ejpam-4751	36	17	:	:	PUNCT
ejpam-4751	36	18	m.	m.	NOUN
ejpam-4751	36	19	m.	m.	PROPN
ejpam-4751	36	20	aziz	aziz	PROPN
ejpam-4751	36	21	/	/	SYM
ejpam-4751	36	22	eur	eur	PROPN
ejpam-4751	36	23	.	.	PUNCT
ejpam-4751	37	1	j.	j.	PROPN
ejpam-4751	37	2	pure	pure	PROPN
ejpam-4751	37	3	appl	appl	PROPN
ejpam-4751	37	4	.	.	PROPN
ejpam-4751	37	5	math	math	PROPN
ejpam-4751	37	6	,	,	PUNCT
ejpam-4751	37	7	16	16	NUM
ejpam-4751	37	8	(	(	PUNCT
ejpam-4751	37	9	2	2	NUM
ejpam-4751	37	10	)	)	PUNCT
ejpam-4751	37	11	(	(	PUNCT
ejpam-4751	37	12	2023	2023	NUM
ejpam-4751	37	13	)	)	PUNCT
ejpam-4751	37	14	,	,	PUNCT
ejpam-4751	37	15	983	983	NUM
ejpam-4751	37	16	-	-	SYM
ejpam-4751	37	17	996	996	NUM
ejpam-4751	37	18	985	985	NUM
ejpam-4751	37	19	2.4	2.4	NUM
ejpam-4751	37	20	.	.	PUNCT
ejpam-4751	38	1	energy	energy	NOUN
ejpam-4751	38	2	equation	equation	NOUN
ejpam-4751	38	3	ρ	ρ	PROPN
ejpam-4751	38	4	(	(	PUNCT
ejpam-4751	38	5	cv	cv	PROPN
ejpam-4751	38	6	∂t	∂t	PROPN
ejpam-4751	38	7	∂t	∂t	PROPN
ejpam-4751	38	8	+	+	CCONJ
ejpam-4751	38	9	v⃗	v⃗	PROPN
ejpam-4751	38	10	grad	grad	PROPN
ejpam-4751	38	11	t	t	PROPN
ejpam-4751	38	12	)	)	PUNCT
ejpam-4751	39	1	=	=	PUNCT
ejpam-4751	39	2	k∇2	k∇2	PROPN
ejpam-4751	39	3	t	t	PROPN
ejpam-4751	39	4	–	–	PUNCT
ejpam-4751	39	5	div	div	X
ejpam-4751	39	6	q⃗	q⃗	NOUN
ejpam-4751	39	7	+	+	CCONJ
ejpam-4751	39	8	φ	φ	PROPN
ejpam-4751	39	9	.	.	PUNCT
ejpam-4751	40	1	(	(	PUNCT
ejpam-4751	40	2	4	4	NUM
ejpam-4751	40	3	)	)	PUNCT
ejpam-4751	40	4	where	where	SCONJ
ejpam-4751	40	5	cv	cv	PROPN
ejpam-4751	40	6	specific	specific	ADJ
ejpam-4751	40	7	heat	heat	NOUN
ejpam-4751	40	8	at	at	ADP
ejpam-4751	40	9	a	a	DET
ejpam-4751	40	10	constant	constant	ADJ
ejpam-4751	40	11	temperature	temperature	NOUN
ejpam-4751	40	12	,	,	PUNCT
ejpam-4751	40	13	t	t	NOUN
ejpam-4751	40	14	temperature	temperature	NOUN
ejpam-4751	40	15	,	,	PUNCT
ejpam-4751	40	16	k	k	PROPN
ejpam-4751	40	17	coefficient	coefficient	NOUN
ejpam-4751	40	18	of	of	ADP
ejpam-4751	40	19	thermal	thermal	ADJ
ejpam-4751	40	20	conductivity	conductivity	NOUN
ejpam-4751	40	21	and	and	CCONJ
ejpam-4751	40	22	φ	φ	PROPN
ejpam-4751	40	23	is	be	AUX
ejpam-4751	40	24	viscous	viscous	ADJ
ejpam-4751	40	25	dissipation	dissipation	NOUN
ejpam-4751	40	26	,	,	PUNCT
ejpam-4751	40	27	and	and	CCONJ
ejpam-4751	40	28	q⃗	q⃗	PROPN
ejpam-4751	40	29	=	=	SYM
ejpam-4751	40	30	i⃗	i⃗	PROPN
ejpam-4751	40	31	qx	qx	PROPN
ejpam-4751	41	1	+	+	NOUN
ejpam-4751	41	2	j⃗	j⃗	PROPN
ejpam-4751	41	3	qy	qy	NOUN
ejpam-4751	41	4	+	+	CCONJ
ejpam-4751	41	5	k⃗qz	k⃗qz	NOUN
ejpam-4751	41	6	is	be	AUX
ejpam-4751	41	7	radiative	radiative	ADJ
ejpam-4751	41	8	flux	flux	NOUN
ejpam-4751	41	9	vector	vector	NOUN
ejpam-4751	41	10	and	and	CCONJ
ejpam-4751	41	11	its	its	PRON
ejpam-4751	41	12	component	component	NOUN
ejpam-4751	41	13	are	be	AUX
ejpam-4751	41	14	qx	qx	PROPN
ejpam-4751	41	15	,	,	PUNCT
ejpam-4751	41	16	qy	qy	PROPN
ejpam-4751	41	17	,	,	PUNCT
ejpam-4751	41	18	qz	qz	PROPN
ejpam-4751	41	19	.	.	PUNCT
ejpam-4751	42	1	cpρ0	cpρ0	PROPN
ejpam-4751	42	2	∂t	∂t	PROPN
ejpam-4751	42	3	∂t	∂t	PROPN
ejpam-4751	42	4	=	=	PUNCT
ejpam-4751	42	5	k	k	PROPN
ejpam-4751	42	6	∂2	∂2	PROPN
ejpam-4751	42	7	t	t	PROPN
ejpam-4751	42	8	∂y2	∂y2	NOUN
ejpam-4751	42	9	+	+	CCONJ
ejpam-4751	42	10	4ασ	4ασ	NOUN
ejpam-4751	42	11	(	(	PUNCT
ejpam-4751	42	12	tt	tt	PROPN
ejpam-4751	42	13	3	3	NUM
ejpam-4751	42	14	1	1	NUM
ejpam-4751	42	15	−	−	PROPN
ejpam-4751	42	16	3	3	NUM
ejpam-4751	42	17	t	t	NOUN
ejpam-4751	42	18	4	4	NUM
ejpam-4751	42	19	1	1	NUM
ejpam-4751	42	20	)	)	PUNCT
ejpam-4751	43	1	+	+	NUM
ejpam-4751	43	2	µ	µ	X
ejpam-4751	43	3	(	(	PUNCT
ejpam-4751	43	4	∂u	∂u	PROPN
ejpam-4751	43	5	∂y	∂y	PROPN
ejpam-4751	43	6	)	)	PUNCT
ejpam-4751	43	7	2	2	NUM
ejpam-4751	43	8	.	.	PUNCT
ejpam-4751	44	1	(	(	PUNCT
ejpam-4751	44	2	5	5	X
ejpam-4751	44	3	)	)	PUNCT
ejpam-4751	44	4	ρ0	ρ0	PROPN
ejpam-4751	44	5	∂u	∂u	PROPN
ejpam-4751	44	6	∂t	∂t	PROPN
ejpam-4751	44	7	=	=	SYM
ejpam-4751	44	8	µ	µ	X
ejpam-4751	44	9	∂2u	∂2u	NOUN
ejpam-4751	45	1	∂y2	∂y2	PROPN
ejpam-4751	46	1	+	+	CCONJ
ejpam-4751	46	2	ρg	ρg	X
ejpam-4751	46	3	.	.	PUNCT
ejpam-4751	47	1	(	(	PUNCT
ejpam-4751	47	2	6	6	NUM
ejpam-4751	47	3	)	)	PUNCT
ejpam-4751	47	4	where	where	SCONJ
ejpam-4751	47	5	ρ	ρ	PROPN
ejpam-4751	47	6	=	=	SYM
ejpam-4751	47	7	ρ0[1−β1(t	ρ0[1−β1(t	NUM
ejpam-4751	47	8	−t1	−t1	PROPN
ejpam-4751	47	9	)	)	PUNCT
ejpam-4751	47	10	]	]	PUNCT
ejpam-4751	47	11	,	,	PUNCT
ejpam-4751	47	12	cp	cp	NUM
ejpam-4751	47	13	specific	specific	ADJ
ejpam-4751	47	14	heat	heat	NOUN
ejpam-4751	47	15	at	at	ADP
ejpam-4751	47	16	constant	constant	ADJ
ejpam-4751	47	17	pressure	pressure	NOUN
ejpam-4751	47	18	,	,	PUNCT
ejpam-4751	47	19	α	α	PROPN
ejpam-4751	47	20	is	be	AUX
ejpam-4751	47	21	the	the	DET
ejpam-4751	47	22	obsorption	obsorption	NOUN
ejpam-4751	47	23	coefficient	coefficient	NOUN
ejpam-4751	47	24	and	and	CCONJ
ejpam-4751	47	25	σ	σ	PROPN
ejpam-4751	47	26	stefan	stefan	PROPN
ejpam-4751	47	27	constant	constant	PROPN
ejpam-4751	47	28	.	.	PUNCT
ejpam-4751	48	1	boundary	boundary	ADJ
ejpam-4751	48	2	condition	condition	NOUN
ejpam-4751	48	3	of	of	ADP
ejpam-4751	48	4	the	the	DET
ejpam-4751	48	5	model	model	NOUN
ejpam-4751	48	6	are	be	AUX
ejpam-4751	48	7	:	:	PUNCT
ejpam-4751	48	8	u	u	NOUN
ejpam-4751	48	9	=	=	NOUN
ejpam-4751	48	10	0	0	PUNCT
ejpam-4751	48	11	y	y	PROPN
ejpam-4751	48	12	=	=	PUNCT
ejpam-4751	48	13	h	h	NOUN
ejpam-4751	48	14	dt	dt	NOUN
ejpam-4751	49	1	dy	dy	X
ejpam-4751	50	1	=	=	SYM
ejpam-4751	51	1	0	0	NUM
ejpam-4751	51	2	u	u	NOUN
ejpam-4751	51	3	=	=	NOUN
ejpam-4751	51	4	0	0	PUNCT
ejpam-4751	51	5	y	y	PROPN
ejpam-4751	51	6	=	=	PUNCT
ejpam-4751	52	1	−h	−h	PROPN
ejpam-4751	52	2	t	t	PROPN
ejpam-4751	52	3	=	=	SYM
ejpam-4751	52	4	t1	t1	PROPN
ejpam-4751	52	5	.	.	PUNCT
ejpam-4751	53	1	(	(	PUNCT
ejpam-4751	53	2	7	7	X
ejpam-4751	53	3	)	)	PUNCT
ejpam-4751	53	4	to	to	PART
ejpam-4751	53	5	convert	convert	VERB
ejpam-4751	53	6	the	the	DET
ejpam-4751	53	7	governing	govern	VERB
ejpam-4751	53	8	partial	partial	ADJ
ejpam-4751	53	9	differential	differential	ADJ
ejpam-4751	53	10	equations	equation	NOUN
ejpam-4751	53	11	into	into	ADP
ejpam-4751	53	12	non	non	ADJ
ejpam-4751	53	13	-	-	ADJ
ejpam-4751	53	14	dimensional	dimensional	ADJ
ejpam-4751	53	15	,	,	PUNCT
ejpam-4751	53	16	we	we	PRON
ejpam-4751	53	17	introduce	introduce	VERB
ejpam-4751	53	18	the	the	DET
ejpam-4751	53	19	following	follow	VERB
ejpam-4751	53	20	non	non	ADJ
ejpam-4751	53	21	-	-	ADJ
ejpam-4751	53	22	dimensional	dimensional	ADJ
ejpam-4751	53	23	quantities	quantity	NOUN
ejpam-4751	53	24	:	:	PUNCT
ejpam-4751	53	25	t	t	X
ejpam-4751	53	26	=	=	SYM
ejpam-4751	53	27	θt1	θt1	PROPN
ejpam-4751	53	28	,	,	PUNCT
ejpam-4751	53	29	u	u	NOUN
ejpam-4751	53	30	=	=	PUNCT
ejpam-4751	53	31	u0∪	u0∪	PROPN
ejpam-4751	53	32	,	,	PUNCT
ejpam-4751	53	33	y	y	PROPN
ejpam-4751	53	34	=	=	SYM
ejpam-4751	53	35	hη	hη	PROPN
ejpam-4751	53	36	,	,	PUNCT
ejpam-4751	53	37	t	t	PROPN
ejpam-4751	53	38	=	=	SYM
ejpam-4751	53	39	t0	t0	PROPN
ejpam-4751	53	40	t	t	NOUN
ejpam-4751	53	41	∗.	∗.	PROPN
ejpam-4751	53	42	(	(	PUNCT
ejpam-4751	53	43	8)	8)	NUM
ejpam-4751	53	44	pr	pr	NOUN
ejpam-4751	53	45	=	=	PUNCT
ejpam-4751	53	46	µcp	µcp	PROPN
ejpam-4751	54	1	k	k	NOUN
ejpam-4751	54	2	(	(	PUNCT
ejpam-4751	54	3	prandtl	prandtl	NOUN
ejpam-4751	54	4	number	number	NOUN
ejpam-4751	54	5	)	)	PUNCT
ejpam-4751	54	6	,	,	PUNCT
ejpam-4751	54	7	ec	ec	PROPN
ejpam-4751	54	8	=	=	SYM
ejpam-4751	54	9	u20	u20	PROPN
ejpam-4751	54	10	cpt1	cpt1	NOUN
ejpam-4751	54	11	(	(	PUNCT
ejpam-4751	54	12	eckert	eckert	PROPN
ejpam-4751	54	13	number	number	PROPN
ejpam-4751	54	14	)	)	PUNCT
ejpam-4751	54	15	,	,	PUNCT
ejpam-4751	54	16	re	re	ADP
ejpam-4751	54	17	=	=	SYM
ejpam-4751	54	18	hρ0u0	hρ0u0	PROPN
ejpam-4751	54	19	µ	µ	X
ejpam-4751	54	20	(	(	PUNCT
ejpam-4751	54	21	reynolds	reynolds	PROPN
ejpam-4751	54	22	number	number	PROPN
ejpam-4751	54	23	)	)	PUNCT
ejpam-4751	54	24	,	,	PUNCT
ejpam-4751	54	25	bo	bo	NOUN
ejpam-4751	54	26	=	=	PUNCT
ejpam-4751	55	1	ρ0u	ρ0u	NOUN
ejpam-4751	55	2	3	3	NUM
ejpam-4751	55	3	0	0	NUM
ejpam-4751	55	4	t	t	NOUN
ejpam-4751	55	5	4	4	NUM
ejpam-4751	55	6	1	1	NUM
ejpam-4751	55	7	σ	σ	NOUN
ejpam-4751	55	8	(	(	PUNCT
ejpam-4751	55	9	boltzmann	boltzmann	PROPN
ejpam-4751	55	10	number	number	PROPN
ejpam-4751	55	11	)	)	PUNCT
ejpam-4751	55	12	,	,	PUNCT
ejpam-4751	55	13	w	w	X
ejpam-4751	55	14	=	=	SYM
ejpam-4751	55	15	hα	hα	NOUN
ejpam-4751	55	16	(	(	PUNCT
ejpam-4751	55	17	bouguer	bouguer	ADJ
ejpam-4751	55	18	number	number	NOUN
ejpam-4751	55	19	)	)	PUNCT
ejpam-4751	55	20	,	,	PUNCT
ejpam-4751	55	21	gr	gr	NOUN
ejpam-4751	55	22	=	=	SYM
ejpam-4751	55	23	gρ20b1h	gρ20b1h	NOUN
ejpam-4751	55	24	3	3	NUM
ejpam-4751	55	25	µ2	µ2	NOUN
ejpam-4751	55	26	(	(	PUNCT
ejpam-4751	55	27	gershoff	gershoff	NOUN
ejpam-4751	55	28	number	number	NOUN
ejpam-4751	55	29	)	)	PUNCT
ejpam-4751	55	30	,	,	PUNCT
ejpam-4751	55	31	fr	fr	NOUN
ejpam-4751	55	32	=	=	SYM
ejpam-4751	55	33	u20	u20	PROPN
ejpam-4751	55	34	gh	gh	PROPN
ejpam-4751	55	35	(	(	PUNCT
ejpam-4751	55	36	frood	frood	NOUN
ejpam-4751	55	37	number	number	NOUN
ejpam-4751	55	38	)	)	PUNCT
ejpam-4751	55	39	.	.	PUNCT
ejpam-4751	56	1	and	and	CCONJ
ejpam-4751	56	2	a	a	DET
ejpam-4751	56	3	=	=	SYM
ejpam-4751	56	4	1	1	NUM
ejpam-4751	56	5	pr	pr	NOUN
ejpam-4751	56	6	.	.	PUNCT
ejpam-4751	57	1	r	r	NOUN
ejpam-4751	57	2	,	,	PUNCT
ejpam-4751	57	3	c	c	NOUN
ejpam-4751	57	4	=	=	SYM
ejpam-4751	57	5	w	w	PROPN
ejpam-4751	57	6	.	.	PUNCT
ejpam-4751	58	1	ec	ec	PROPN
ejpam-4751	58	2	bo	bo	PROPN
ejpam-4751	58	3	,	,	PUNCT
ejpam-4751	58	4	d	d	PROPN
ejpam-4751	58	5	=	=	SYM
ejpam-4751	58	6	ec	ec	PROPN
ejpam-4751	58	7	r	r	NOUN
ejpam-4751	58	8	,	,	PUNCT
ejpam-4751	58	9	e	e	NOUN
ejpam-4751	58	10	=	=	SYM
ejpam-4751	58	11	1	1	NUM
ejpam-4751	58	12	r	r	NOUN
ejpam-4751	58	13	,	,	PUNCT
ejpam-4751	58	14	f	f	NOUN
ejpam-4751	58	15	=	=	SYM
ejpam-4751	58	16	gr	gr	NUM
ejpam-4751	58	17	r2	r2	PROPN
ejpam-4751	58	18	,	,	PUNCT
ejpam-4751	58	19	h	h	NOUN
ejpam-4751	58	20	=	=	NOUN
ejpam-4751	58	21	1	1	NUM
ejpam-4751	58	22	fr	fr	NOUN
ejpam-4751	59	1	+	+	CCONJ
ejpam-4751	59	2	f	f	PROPN
ejpam-4751	59	3	equations	equation	NOUN
ejpam-4751	59	4	(	(	PUNCT
ejpam-4751	59	5	5	5	NUM
ejpam-4751	59	6	)	)	PUNCT
ejpam-4751	59	7	and	and	CCONJ
ejpam-4751	59	8	(	(	PUNCT
ejpam-4751	59	9	6	6	X
ejpam-4751	59	10	)	)	PUNCT
ejpam-4751	59	11	become	become	VERB
ejpam-4751	59	12	)	)	PUNCT
ejpam-4751	60	1	∂θ	∂θ	NOUN
ejpam-4751	60	2	∂t∗	∂t∗	NOUN
ejpam-4751	60	3	=	=	NOUN
ejpam-4751	61	1	a	a	DET
ejpam-4751	61	2	∂2θ	∂2θ	NOUN
ejpam-4751	61	3	∂η2	∂η2	VERB
ejpam-4751	61	4	–	–	PUNCT
ejpam-4751	61	5	4cθ	4cθ	NOUN
ejpam-4751	62	1	+	+	PROPN
ejpam-4751	62	2	d	d	PROPN
ejpam-4751	62	3	(	(	PUNCT
ejpam-4751	62	4	∂u	∂u	PROPN
ejpam-4751	62	5	∂η	∂η	PROPN
ejpam-4751	62	6	)	)	PUNCT
ejpam-4751	62	7	2	2	NUM
ejpam-4751	62	8	–	–	PUNCT
ejpam-4751	62	9	12c	12c	NUM
ejpam-4751	62	10	.	.	PUNCT
ejpam-4751	63	1	(	(	PUNCT
ejpam-4751	63	2	9	9	X
ejpam-4751	63	3	)	)	PUNCT
ejpam-4751	63	4	m.	m.	NOUN
ejpam-4751	63	5	m.	m.	NOUN
ejpam-4751	63	6	aziz	aziz	PROPN
ejpam-4751	63	7	/	/	SYM
ejpam-4751	63	8	eur	eur	PROPN
ejpam-4751	63	9	.	.	PUNCT
ejpam-4751	64	1	j.	j.	PROPN
ejpam-4751	64	2	pure	pure	PROPN
ejpam-4751	64	3	appl	appl	PROPN
ejpam-4751	64	4	.	.	PROPN
ejpam-4751	64	5	math	math	PROPN
ejpam-4751	64	6	,	,	PUNCT
ejpam-4751	64	7	16	16	NUM
ejpam-4751	64	8	(	(	PUNCT
ejpam-4751	64	9	2	2	NUM
ejpam-4751	64	10	)	)	PUNCT
ejpam-4751	64	11	(	(	PUNCT
ejpam-4751	64	12	2023	2023	NUM
ejpam-4751	64	13	)	)	PUNCT
ejpam-4751	64	14	,	,	PUNCT
ejpam-4751	64	15	983	983	NUM
ejpam-4751	64	16	-	-	SYM
ejpam-4751	64	17	996	996	NUM
ejpam-4751	64	18	986	986	NUM
ejpam-4751	64	19	∂u	∂u	PROPN
ejpam-4751	64	20	∂t∗	∂t∗	NOUN
ejpam-4751	64	21	=	=	SYM
ejpam-4751	64	22	e	e	PROPN
ejpam-4751	64	23	∂2u	∂2u	NOUN
ejpam-4751	64	24	∂η2	∂η2	VERB
ejpam-4751	64	25	–	–	PUNCT
ejpam-4751	64	26	fθ	fθ	PROPN
ejpam-4751	64	27	+	+	PROPN
ejpam-4751	64	28	h.	h.	PROPN
ejpam-4751	64	29	(	(	PUNCT
ejpam-4751	64	30	10	10	NUM
ejpam-4751	64	31	)	)	PUNCT
ejpam-4751	64	32	the	the	DET
ejpam-4751	64	33	boundary	boundary	ADJ
ejpam-4751	64	34	conditions	condition	NOUN
ejpam-4751	64	35	become	become	VERB
ejpam-4751	64	36	∪	∪	ADJ
ejpam-4751	64	37	=	=	SYM
ejpam-4751	64	38	0	0	NUM
ejpam-4751	64	39	η	η	NOUN
ejpam-4751	64	40	=	=	NOUN
ejpam-4751	64	41	−1	−1	NOUN
ejpam-4751	64	42	θ	θ	NOUN
ejpam-4751	64	43	=	=	SYM
ejpam-4751	64	44	1	1	NUM
ejpam-4751	64	45	∪	∪	X
ejpam-4751	64	46	=	=	SYM
ejpam-4751	64	47	0	0	NUM
ejpam-4751	64	48	η	η	NOUN
ejpam-4751	64	49	=	=	SYM
ejpam-4751	64	50	1	1	NUM
ejpam-4751	64	51	dθ	dθ	NOUN
ejpam-4751	64	52	dη	dη	NOUN
ejpam-4751	64	53	=	=	NOUN
ejpam-4751	64	54	0	0	PROPN
ejpam-4751	64	55	.	.	PUNCT
ejpam-4751	65	1	(	(	PUNCT
ejpam-4751	65	2	11	11	NUM
ejpam-4751	65	3	)	)	SYM
ejpam-4751	65	4	3	3	NUM
ejpam-4751	65	5	.	.	X
ejpam-4751	65	6	steady	steady	ADJ
ejpam-4751	65	7	state	state	NOUN
ejpam-4751	65	8	solution	solution	NOUN
ejpam-4751	65	9	to	to	PART
ejpam-4751	65	10	find	find	VERB
ejpam-4751	65	11	the	the	DET
ejpam-4751	65	12	steady	steady	ADJ
ejpam-4751	65	13	state	state	NOUN
ejpam-4751	65	14	solution	solution	NOUN
ejpam-4751	65	15	,	,	PUNCT
ejpam-4751	65	16	we	we	PRON
ejpam-4751	65	17	shall	shall	AUX
ejpam-4751	65	18	neglect	neglect	VERB
ejpam-4751	65	19	the	the	DET
ejpam-4751	65	20	terms	term	NOUN
ejpam-4751	65	21	which	which	PRON
ejpam-4751	65	22	depend	depend	VERB
ejpam-4751	65	23	on	on	ADP
ejpam-4751	65	24	the	the	DET
ejpam-4751	65	25	time	time	NOUN
ejpam-4751	65	26	and	and	CCONJ
ejpam-4751	65	27	equations	equation	NOUN
ejpam-4751	65	28	(	(	PUNCT
ejpam-4751	65	29	9	9	NUM
ejpam-4751	65	30	)	)	PUNCT
ejpam-4751	65	31	and	and	CCONJ
ejpam-4751	65	32	(	(	PUNCT
ejpam-4751	65	33	10	10	NUM
ejpam-4751	65	34	)	)	PUNCT
ejpam-4751	65	35	become	become	VERB
ejpam-4751	65	36	a	a	DET
ejpam-4751	65	37	∂2θ	∂2θ	NOUN
ejpam-4751	65	38	∂η2	∂η2	NOUN
ejpam-4751	65	39	–	–	PUNCT
ejpam-4751	65	40	4cθ	4cθ	NOUN
ejpam-4751	66	1	+	+	SYM
ejpam-4751	66	2	d	d	PROPN
ejpam-4751	66	3	(	(	PUNCT
ejpam-4751	66	4	d∪	d∪	NOUN
ejpam-4751	66	5	dη	dη	NOUN
ejpam-4751	66	6	)	)	PUNCT
ejpam-4751	66	7	2	2	NUM
ejpam-4751	66	8	–	–	PUNCT
ejpam-4751	66	9	12c	12c	NUM
ejpam-4751	66	10	=	=	SYM
ejpam-4751	66	11	0	0	NUM
ejpam-4751	66	12	.	.	PUNCT
ejpam-4751	67	1	(	(	PUNCT
ejpam-4751	67	2	12	12	NUM
ejpam-4751	67	3	)	)	PUNCT
ejpam-4751	67	4	e	e	NOUN
ejpam-4751	67	5	d2∪	d2∪	X
ejpam-4751	67	6	dη2	dη2	NOUN
ejpam-4751	67	7	–	–	PUNCT
ejpam-4751	67	8	fθ	fθ	ADJ
ejpam-4751	67	9	+	+	NOUN
ejpam-4751	67	10	h	h	NOUN
ejpam-4751	67	11	=	=	SYM
ejpam-4751	67	12	0	0	PROPN
ejpam-4751	67	13	.	.	PUNCT
ejpam-4751	68	1	(	(	PUNCT
ejpam-4751	68	2	13	13	NUM
ejpam-4751	68	3	)	)	PUNCT
ejpam-4751	68	4	from	from	ADP
ejpam-4751	68	5	equations	equation	NOUN
ejpam-4751	68	6	(	(	PUNCT
ejpam-4751	68	7	12	12	NUM
ejpam-4751	68	8	)	)	PUNCT
ejpam-4751	68	9	and	and	CCONJ
ejpam-4751	68	10	(	(	PUNCT
ejpam-4751	68	11	13	13	X
ejpam-4751	68	12	)	)	PUNCT
ejpam-4751	68	13	we	we	PRON
ejpam-4751	68	14	get	get	VERB
ejpam-4751	68	15	the	the	DET
ejpam-4751	68	16	following	follow	VERB
ejpam-4751	68	17	equation	equation	NOUN
ejpam-4751	68	18	d4∪	d4∪	NOUN
ejpam-4751	68	19	dη4	dη4	NOUN
ejpam-4751	68	20	+	+	CCONJ
ejpam-4751	68	21	4c	4c	NOUN
ejpam-4751	68	22	a	a	DET
ejpam-4751	68	23	(	(	PUNCT
ejpam-4751	68	24	d2∪	d2∪	PROPN
ejpam-4751	68	25	dη2	dη2	NOUN
ejpam-4751	68	26	)	)	PUNCT
ejpam-4751	69	1	+	+	CCONJ
ejpam-4751	69	2	4	4	NUM
ejpam-4751	69	3	ce	ce	PROPN
ejpam-4751	69	4	ae	ae	PROPN
ejpam-4751	69	5	(	(	PUNCT
ejpam-4751	69	6	h	h	NOUN
ejpam-4751	69	7	f	f	NOUN
ejpam-4751	69	8	−	−	PROPN
ejpam-4751	69	9	3	3	X
ejpam-4751	69	10	)	)	PUNCT
ejpam-4751	69	11	+	+	CCONJ
ejpam-4751	69	12	df	df	PROPN
ejpam-4751	69	13	ae	ae	PROPN
ejpam-4751	69	14	(	(	PUNCT
ejpam-4751	69	15	du	du	PROPN
ejpam-4751	69	16	dη	dη	NOUN
ejpam-4751	69	17	)	)	PUNCT
ejpam-4751	69	18	2	2	NUM
ejpam-4751	69	19	=	=	SYM
ejpam-4751	69	20	0	0	NUM
ejpam-4751	69	21	.	.	PUNCT
ejpam-4751	70	1	(	(	PUNCT
ejpam-4751	70	2	14	14	NUM
ejpam-4751	70	3	)	)	PUNCT
ejpam-4751	70	4	and	and	CCONJ
ejpam-4751	70	5	the	the	DET
ejpam-4751	70	6	boundary	boundary	ADJ
ejpam-4751	70	7	conditions	condition	NOUN
ejpam-4751	70	8	become	become	VERB
ejpam-4751	70	9	∪	∪	ADJ
ejpam-4751	70	10	=	=	SYM
ejpam-4751	70	11	0	0	NUM
ejpam-4751	70	12	θ	θ	NOUN
ejpam-4751	70	13	=	=	SYM
ejpam-4751	70	14	1	1	NUM
ejpam-4751	70	15	η	η	NOUN
ejpam-4751	70	16	=	=	SYM
ejpam-4751	70	17	−1	−1	NOUN
ejpam-4751	70	18	,	,	PUNCT
ejpam-4751	70	19	∪	∪	ADJ
ejpam-4751	70	20	=	=	SYM
ejpam-4751	70	21	0	0	NUM
ejpam-4751	70	22	dθ	dθ	NOUN
ejpam-4751	70	23	dη	dη	NOUN
ejpam-4751	70	24	=	=	SYM
ejpam-4751	70	25	0	0	NUM
ejpam-4751	70	26	η	η	X
ejpam-4751	70	27	=	=	SYM
ejpam-4751	70	28	1	1	NUM
ejpam-4751	70	29	,	,	PUNCT
ejpam-4751	70	30	d2∪	d2∪	X
ejpam-4751	70	31	dη2	dη2	NOUN
ejpam-4751	71	1	=	=	SYM
ejpam-4751	71	2	f	f	PROPN
ejpam-4751	71	3	−h	−h	VERB
ejpam-4751	71	4	e	e	PROPN
ejpam-4751	71	5	η	η	PROPN
ejpam-4751	71	6	=	=	PROPN
ejpam-4751	71	7	−1	−1	NOUN
ejpam-4751	71	8	,	,	PUNCT
ejpam-4751	71	9	d3u	d3u	PUNCT
ejpam-4751	71	10	dη3	dη3	X
ejpam-4751	71	11	=	=	SYM
ejpam-4751	71	12	0	0	NUM
ejpam-4751	71	13	η	η	X
ejpam-4751	71	14	=	=	PROPN
ejpam-4751	71	15	1	1	NUM
ejpam-4751	71	16	.	.	NUM
ejpam-4751	71	17			NUM
ejpam-4751	71	18	(	(	PUNCT
ejpam-4751	71	19	15	15	NUM
ejpam-4751	71	20	)	)	PUNCT
ejpam-4751	71	21	now	now	ADV
ejpam-4751	71	22	we	we	PRON
ejpam-4751	71	23	shall	shall	AUX
ejpam-4751	71	24	use	use	VERB
ejpam-4751	71	25	perturbation	perturbation	NOUN
ejpam-4751	71	26	method	method	NOUN
ejpam-4751	71	27	[	[	X
ejpam-4751	71	28	8	8	NUM
ejpam-4751	71	29	]	]	PUNCT
ejpam-4751	71	30	and	and	CCONJ
ejpam-4751	71	31	assume	assume	VERB
ejpam-4751	71	32	the	the	DET
ejpam-4751	71	33	solution	solution	NOUN
ejpam-4751	71	34	of	of	ADP
ejpam-4751	71	35	(	(	PUNCT
ejpam-4751	71	36	14	14	NUM
ejpam-4751	71	37	)	)	PUNCT
ejpam-4751	71	38	to	to	PART
ejpam-4751	71	39	be	be	AUX
ejpam-4751	71	40	as	as	SCONJ
ejpam-4751	71	41	follows	follow	VERB
ejpam-4751	71	42	.	.	PUNCT
ejpam-4751	72	1	∪(η	∪(η	NOUN
ejpam-4751	72	2	)	)	PUNCT
ejpam-4751	73	1	=	=	PUNCT
ejpam-4751	74	1	∞∑	∞∑	PRON
ejpam-4751	74	2	n=0	n=0	ADJ
ejpam-4751	74	3	∈n	∈n	NOUN
ejpam-4751	74	4	∪n(η	∪n(η	ADV
ejpam-4751	74	5	)	)	PUNCT
ejpam-4751	74	6	.	.	PUNCT
ejpam-4751	75	1	(	(	PUNCT
ejpam-4751	75	2	16	16	NUM
ejpam-4751	75	3	)	)	PUNCT
ejpam-4751	75	4	since	since	SCONJ
ejpam-4751	75	5	d	d	PROPN
ejpam-4751	75	6	=	=	SYM
ejpam-4751	75	7	ec	ec	PROPN
ejpam-4751	75	8	r	r	NOUN
ejpam-4751	75	9	and	and	CCONJ
ejpam-4751	75	10	the	the	DET
ejpam-4751	75	11	values	value	NOUN
ejpam-4751	75	12	of	of	ADP
ejpam-4751	75	13	ec	ec	PROPN
ejpam-4751	75	14	from	from	ADP
ejpam-4751	75	15	0.1	0.1	NUM
ejpam-4751	75	16	to	to	ADP
ejpam-4751	75	17	0.01	0.01	NUM
ejpam-4751	76	1	and	and	CCONJ
ejpam-4751	76	2	r	r	NOUN
ejpam-4751	76	3	is	be	AUX
ejpam-4751	76	4	greater	great	ADJ
ejpam-4751	76	5	than	than	ADP
ejpam-4751	76	6	100	100	NUM
ejpam-4751	76	7	,	,	PUNCT
ejpam-4751	76	8	then	then	ADV
ejpam-4751	76	9	the	the	DET
ejpam-4751	76	10	maximum	maximum	ADJ
ejpam-4751	76	11	value	value	NOUN
ejpam-4751	76	12	of	of	ADP
ejpam-4751	76	13	d	d	PROPN
ejpam-4751	76	14	is	be	AUX
ejpam-4751	76	15	0.001	0.001	NUM
ejpam-4751	76	16	,	,	PUNCT
ejpam-4751	76	17	thus	thus	ADV
ejpam-4751	76	18	we	we	PRON
ejpam-4751	76	19	assume	assume	VERB
ejpam-4751	76	20	∈=	∈=	PUNCT
ejpam-4751	77	1	d	d	X
ejpam-4751	77	2	we	we	PRON
ejpam-4751	77	3	shall	shall	AUX
ejpam-4751	77	4	neglect	neglect	VERB
ejpam-4751	77	5	terms	term	NOUN
ejpam-4751	77	6	which	which	PRON
ejpam-4751	77	7	in	in	ADP
ejpam-4751	77	8	it	it	PRON
ejpam-4751	77	9	dn	dn	VERB
ejpam-4751	77	10	where	where	SCONJ
ejpam-4751	77	11	n	n	X
ejpam-4751	77	12	>	>	X
ejpam-4751	77	13	2	2	NUM
ejpam-4751	77	14	and	and	CCONJ
ejpam-4751	77	15	thus	thus	ADV
ejpam-4751	77	16	the	the	DET
ejpam-4751	77	17	solution	solution	NOUN
ejpam-4751	77	18	has	have	VERB
ejpam-4751	77	19	the	the	DET
ejpam-4751	77	20	form	form	NOUN
ejpam-4751	77	21	∪(η	∪(η	VERB
ejpam-4751	77	22	)	)	PUNCT
ejpam-4751	77	23	=	=	SYM
ejpam-4751	77	24	∪0(η	∪0(η	NOUN
ejpam-4751	77	25	)	)	PUNCT
ejpam-4751	78	1	+	+	ADP
ejpam-4751	78	2	d	d	X
ejpam-4751	78	3	∪1	∪1	ADJ
ejpam-4751	78	4	(	(	PUNCT
ejpam-4751	78	5	η	η	NOUN
ejpam-4751	78	6	)	)	PUNCT
ejpam-4751	78	7	.	.	PUNCT
ejpam-4751	79	1	(	(	PUNCT
ejpam-4751	79	2	17	17	NUM
ejpam-4751	79	3	)	)	PUNCT
ejpam-4751	79	4	m.	m.	NOUN
ejpam-4751	79	5	m.	m.	NOUN
ejpam-4751	79	6	aziz	aziz	PROPN
ejpam-4751	79	7	/	/	SYM
ejpam-4751	79	8	eur	eur	PROPN
ejpam-4751	79	9	.	.	PUNCT
ejpam-4751	80	1	j.	j.	PROPN
ejpam-4751	80	2	pure	pure	PROPN
ejpam-4751	80	3	appl	appl	PROPN
ejpam-4751	80	4	.	.	PROPN
ejpam-4751	80	5	math	math	PROPN
ejpam-4751	80	6	,	,	PUNCT
ejpam-4751	80	7	16	16	NUM
ejpam-4751	80	8	(	(	PUNCT
ejpam-4751	80	9	2	2	NUM
ejpam-4751	80	10	)	)	PUNCT
ejpam-4751	80	11	(	(	PUNCT
ejpam-4751	80	12	2023	2023	NUM
ejpam-4751	80	13	)	)	PUNCT
ejpam-4751	80	14	,	,	PUNCT
ejpam-4751	80	15	983	983	NUM
ejpam-4751	80	16	-	-	SYM
ejpam-4751	80	17	996	996	NUM
ejpam-4751	80	18	987	987	NUM
ejpam-4751	80	19	differentiate	differentiate	ADJ
ejpam-4751	80	20	equation	equation	NOUN
ejpam-4751	80	21	(	(	PUNCT
ejpam-4751	80	22	17	17	NUM
ejpam-4751	80	23	)	)	PUNCT
ejpam-4751	80	24	many	many	ADJ
ejpam-4751	80	25	times	time	NOUN
ejpam-4751	80	26	and	and	CCONJ
ejpam-4751	80	27	compensate	compensate	VERB
ejpam-4751	80	28	it	it	PRON
ejpam-4751	80	29	in	in	ADP
ejpam-4751	80	30	equation	equation	NOUN
ejpam-4751	80	31	(	(	PUNCT
ejpam-4751	80	32	14	14	NUM
ejpam-4751	80	33	)	)	PUNCT
ejpam-4751	80	34	we	we	PRON
ejpam-4751	80	35	get	get	VERB
ejpam-4751	80	36	.	.	PUNCT
ejpam-4751	81	1	d4∪0	d4∪0	VERB
ejpam-4751	81	2	dη4	dη4	NOUN
ejpam-4751	81	3	+	+	CCONJ
ejpam-4751	81	4	4c	4c	NOUN
ejpam-4751	81	5	a	a	DET
ejpam-4751	81	6	(	(	PUNCT
ejpam-4751	81	7	d2∪0	d2∪0	PROPN
ejpam-4751	81	8	dη2	dη2	NOUN
ejpam-4751	81	9	)	)	PUNCT
ejpam-4751	82	1	+	+	CCONJ
ejpam-4751	82	2	4	4	NUM
ejpam-4751	82	3	cf	cf	NOUN
ejpam-4751	82	4	ae	ae	PROPN
ejpam-4751	82	5	(	(	PUNCT
ejpam-4751	82	6	h	h	NOUN
ejpam-4751	82	7	f	f	NOUN
ejpam-4751	82	8	−	−	PROPN
ejpam-4751	82	9	3	3	X
ejpam-4751	82	10	)	)	PUNCT
ejpam-4751	82	11	=	=	SYM
ejpam-4751	82	12	0	0	X
ejpam-4751	82	13	.	.	PUNCT
ejpam-4751	83	1	(	(	PUNCT
ejpam-4751	83	2	18	18	NUM
ejpam-4751	83	3	)	)	PUNCT
ejpam-4751	83	4	d4∪1	d4∪1	NOUN
ejpam-4751	83	5	dη4	dη4	NOUN
ejpam-4751	83	6	+	+	CCONJ
ejpam-4751	83	7	4c	4c	NOUN
ejpam-4751	83	8	a	a	DET
ejpam-4751	83	9	(	(	PUNCT
ejpam-4751	83	10	d2∪1	d2∪1	NOUN
ejpam-4751	83	11	dη2	dη2	NOUN
ejpam-4751	83	12	)	)	PUNCT
ejpam-4751	84	1	+	+	CCONJ
ejpam-4751	84	2	f	f	PROPN
ejpam-4751	84	3	ae	ae	PROPN
ejpam-4751	84	4	(	(	PUNCT
ejpam-4751	84	5	d∪0	d∪0	NOUN
ejpam-4751	84	6	dη	dη	NOUN
ejpam-4751	84	7	)	)	PUNCT
ejpam-4751	84	8	2	2	NUM
ejpam-4751	84	9	=	=	SYM
ejpam-4751	84	10	0	0	NUM
ejpam-4751	84	11	.	.	PUNCT
ejpam-4751	84	12	(	(	PUNCT
ejpam-4751	84	13	19	19	NUM
ejpam-4751	84	14	)	)	PUNCT
ejpam-4751	84	15	and	and	CCONJ
ejpam-4751	84	16	boundary	boundary	ADJ
ejpam-4751	84	17	conditions	condition	NOUN
ejpam-4751	84	18	∪0	∪0	NOUN
ejpam-4751	84	19	=	=	SYM
ejpam-4751	84	20	0	0	NUM
ejpam-4751	84	21	η	η	PROPN
ejpam-4751	84	22	=	=	SYM
ejpam-4751	84	23	−1	−1	NOUN
ejpam-4751	84	24	,	,	PUNCT
ejpam-4751	84	25	∪0	∪0	PROPN
ejpam-4751	84	26	=	=	SYM
ejpam-4751	84	27	0	0	NUM
ejpam-4751	84	28	η	η	X
ejpam-4751	84	29	=	=	SYM
ejpam-4751	84	30	1	1	NUM
ejpam-4751	84	31	,	,	PUNCT
ejpam-4751	84	32	d2∪0	d2∪0	PROPN
ejpam-4751	84	33	dη2	dη2	NOUN
ejpam-4751	84	34	=	=	SYM
ejpam-4751	84	35	f	f	PROPN
ejpam-4751	84	36	−h	−h	VERB
ejpam-4751	84	37	e	e	PROPN
ejpam-4751	84	38	η	η	PROPN
ejpam-4751	84	39	=	=	PROPN
ejpam-4751	84	40	−1	−1	NOUN
ejpam-4751	84	41	,	,	PUNCT
ejpam-4751	84	42	d3∪0	d3∪0	PUNCT
ejpam-4751	84	43	dη3	dη3	X
ejpam-4751	84	44	=	=	SYM
ejpam-4751	84	45	0	0	NUM
ejpam-4751	84	46	η	η	X
ejpam-4751	84	47	=	=	PROPN
ejpam-4751	84	48	1	1	NUM
ejpam-4751	84	49	.	.	X
ejpam-4751	84	50			NUM
ejpam-4751	84	51	(	(	PUNCT
ejpam-4751	84	52	20	20	NUM
ejpam-4751	84	53	)	)	PUNCT
ejpam-4751	84	54	∪1	∪1	NOUN
ejpam-4751	85	1	=	=	SYM
ejpam-4751	85	2	0	0	NUM
ejpam-4751	85	3	η	η	PROPN
ejpam-4751	85	4	=	=	PROPN
ejpam-4751	85	5	−1	−1	NOUN
ejpam-4751	85	6	,	,	PUNCT
ejpam-4751	85	7	∪1	∪1	ADJ
ejpam-4751	85	8	=	=	SYM
ejpam-4751	85	9	0	0	NUM
ejpam-4751	85	10	η	η	NOUN
ejpam-4751	85	11	=	=	SYM
ejpam-4751	85	12	1	1	NUM
ejpam-4751	85	13	,	,	PUNCT
ejpam-4751	85	14	d2∪1	d2∪1	NOUN
ejpam-4751	85	15	dη2	dη2	NOUN
ejpam-4751	85	16	=	=	SYM
ejpam-4751	85	17	0	0	NUM
ejpam-4751	85	18	η	η	PROPN
ejpam-4751	85	19	=	=	NOUN
ejpam-4751	85	20	−1	−1	NOUN
ejpam-4751	85	21	,	,	PUNCT
ejpam-4751	85	22	d3∪0	d3∪0	PUNCT
ejpam-4751	85	23	dη3	dη3	X
ejpam-4751	85	24	=	=	SYM
ejpam-4751	85	25	0	0	NUM
ejpam-4751	85	26	η	η	X
ejpam-4751	85	27	=	=	PROPN
ejpam-4751	85	28	1	1	NUM
ejpam-4751	85	29	.	.	PUNCT
ejpam-4751	86	1			NUM
ejpam-4751	86	2	(	(	PUNCT
ejpam-4751	86	3	21	21	NUM
ejpam-4751	86	4	)	)	PUNCT
ejpam-4751	86	5	now	now	ADV
ejpam-4751	86	6	we	we	PRON
ejpam-4751	86	7	found	find	VERB
ejpam-4751	86	8	the	the	DET
ejpam-4751	86	9	general	general	ADJ
ejpam-4751	86	10	solution	solution	NOUN
ejpam-4751	86	11	of	of	ADP
ejpam-4751	86	12	equation	equation	NOUN
ejpam-4751	86	13	(	(	PUNCT
ejpam-4751	86	14	18	18	NUM
ejpam-4751	86	15	)	)	PUNCT
ejpam-4751	86	16	by	by	ADP
ejpam-4751	86	17	found	find	VERB
ejpam-4751	86	18	complement	complement	NOUN
ejpam-4751	86	19	solution	solution	NOUN
ejpam-4751	86	20	at	at	ADP
ejpam-4751	86	21	homogenous	homogenous	ADJ
ejpam-4751	86	22	equation	equation	NOUN
ejpam-4751	86	23	of	of	ADP
ejpam-4751	86	24	the	the	DET
ejpam-4751	86	25	following	follow	VERB
ejpam-4751	86	26	form	form	NOUN
ejpam-4751	86	27	.	.	PUNCT
ejpam-4751	87	1	∪op	∪op	PROPN
ejpam-4751	87	2	=	=	SYM
ejpam-4751	87	3	a1	a1	PROPN
ejpam-4751	87	4	+	+	PROPN
ejpam-4751	87	5	a2	a2	PROPN
ejpam-4751	87	6	η	η	PROPN
ejpam-4751	87	7	+	+	PROPN
ejpam-4751	87	8	a3	a3	PROPN
ejpam-4751	87	9	cos(2s1η	cos(2s1η	PROPN
ejpam-4751	87	10	)	)	PUNCT
ejpam-4751	88	1	+	+	NOUN
ejpam-4751	88	2	a4sin(2s1η	a4sin(2s1η	NOUN
ejpam-4751	88	3	)	)	PUNCT
ejpam-4751	88	4	.	.	PUNCT
ejpam-4751	89	1	(	(	PUNCT
ejpam-4751	89	2	22	22	X
ejpam-4751	89	3	)	)	PUNCT
ejpam-4751	89	4	we	we	PRON
ejpam-4751	89	5	found	find	VERB
ejpam-4751	89	6	special	special	ADJ
ejpam-4751	89	7	solution	solution	NOUN
ejpam-4751	89	8	of	of	ADP
ejpam-4751	89	9	non	non	ADJ
ejpam-4751	89	10	-	-	ADJ
ejpam-4751	89	11	homogenous	homogenous	ADJ
ejpam-4751	89	12	equation	equation	NOUN
ejpam-4751	89	13	by	by	ADP
ejpam-4751	89	14	method	method	NOUN
ejpam-4751	89	15	of	of	ADP
ejpam-4751	89	16	variational	variational	ADJ
ejpam-4751	89	17	parameters	parameter	NOUN
ejpam-4751	89	18	[	[	X
ejpam-4751	89	19	7	7	X
ejpam-4751	89	20	]	]	PUNCT
ejpam-4751	89	21	which	which	PRON
ejpam-4751	89	22	is	be	AUX
ejpam-4751	89	23	∪oc	∪oc	PROPN
ejpam-4751	89	24	∪oc(η	∪oc(η	PROPN
ejpam-4751	89	25	)	)	PUNCT
ejpam-4751	89	26	=	=	NOUN
ejpam-4751	89	27	asη	asη	VERB
ejpam-4751	89	28	2	2	NUM
ejpam-4751	89	29	.	.	PUNCT
ejpam-4751	90	1	(	(	PUNCT
ejpam-4751	90	2	23	23	NUM
ejpam-4751	90	3	)	)	PUNCT
ejpam-4751	90	4	where	where	SCONJ
ejpam-4751	90	5	a5	a5	NOUN
ejpam-4751	90	6	=	=	SYM
ejpam-4751	90	7	−f	−f	PROPN
ejpam-4751	90	8	2e	2e	NOUN
ejpam-4751	90	9	(	(	PUNCT
ejpam-4751	90	10	h	h	NOUN
ejpam-4751	90	11	f	f	NOUN
ejpam-4751	90	12	−	−	PROPN
ejpam-4751	90	13	3	3	NUM
ejpam-4751	90	14	)	)	PUNCT
ejpam-4751	90	15	,	,	PUNCT
ejpam-4751	90	16	s	s	VERB
ejpam-4751	90	17	=	=	PUNCT
ejpam-4751	90	18	c	c	X
ejpam-4751	90	19	a	a	DET
ejpam-4751	90	20	,	,	PUNCT
ejpam-4751	90	21	s1	s1	NOUN
ejpam-4751	90	22	=	=	SYM
ejpam-4751	90	23	s	s	PART
ejpam-4751	90	24	1	1	NUM
ejpam-4751	90	25	2	2	NUM
ejpam-4751	90	26	and	and	CCONJ
ejpam-4751	90	27	using	use	VERB
ejpam-4751	90	28	boundary	boundary	ADJ
ejpam-4751	90	29	conditions	condition	NOUN
ejpam-4751	90	30	we	we	PRON
ejpam-4751	90	31	found	find	VERB
ejpam-4751	90	32	the	the	DET
ejpam-4751	90	33	constant	constant	ADJ
ejpam-4751	90	34	a1	a1	NOUN
ejpam-4751	90	35	,	,	PUNCT
ejpam-4751	90	36	a2	a2	PROPN
ejpam-4751	90	37	,	,	PUNCT
ejpam-4751	90	38	a3	a3	NOUN
ejpam-4751	90	39	,	,	PUNCT
ejpam-4751	90	40	a4	a4	PROPN
ejpam-4751	90	41	,	,	PUNCT
ejpam-4751	90	42	where	where	SCONJ
ejpam-4751	90	43	a1	a1	NOUN
ejpam-4751	90	44	=	=	SYM
ejpam-4751	90	45	f	f	PROPN
ejpam-4751	90	46	2e	2e	NOUN
ejpam-4751	90	47	(	(	PUNCT
ejpam-4751	90	48	h	h	NOUN
ejpam-4751	90	49	f	f	PROPN
ejpam-4751	91	1	−	−	PROPN
ejpam-4751	91	2	3)−	3)−	INTJ
ejpam-4751	91	3	fa	fa	NUM
ejpam-4751	91	4	2ce	2ce	NOUN
ejpam-4751	91	5	[	[	PUNCT
ejpam-4751	91	6	cos2(2s1	cos2(2s1	NOUN
ejpam-4751	91	7	)	)	PUNCT
ejpam-4751	91	8	2cos2	2cos2	NUM
ejpam-4751	91	9	(	(	PUNCT
ejpam-4751	91	10	2s1)−	2s1)−	NOUN
ejpam-4751	91	11	1	1	NUM
ejpam-4751	91	12	]	]	PUNCT
ejpam-4751	91	13	a2	a2	PROPN
ejpam-4751	91	14	=	=	SYM
ejpam-4751	91	15	fa	fa	PROPN
ejpam-4751	91	16	2ce	2ce	X
ejpam-4751	91	17	[	[	PUNCT
ejpam-4751	91	18	sin2	sin2	NOUN
ejpam-4751	91	19	(	(	PUNCT
ejpam-4751	91	20	2s1	2s1	NUM
ejpam-4751	91	21	)	)	PUNCT
ejpam-4751	91	22	2cos2	2cos2	NUM
ejpam-4751	91	23	(	(	PUNCT
ejpam-4751	91	24	2s1)−	2s1)−	NOUN
ejpam-4751	91	25	1	1	NUM
ejpam-4751	91	26	]	]	PUNCT
ejpam-4751	91	27	a3	a3	NOUN
ejpam-4751	91	28	=	=	SYM
ejpam-4751	91	29	fa	fa	NUM
ejpam-4751	91	30	2ce	2ce	X
ejpam-4751	91	31	[	[	PUNCT
ejpam-4751	91	32	cos(2s1	cos(2s1	NOUN
ejpam-4751	91	33	)	)	PUNCT
ejpam-4751	91	34	2cos2	2cos2	NUM
ejpam-4751	91	35	(	(	PUNCT
ejpam-4751	91	36	2s1)−	2s1)−	NOUN
ejpam-4751	91	37	1	1	NUM
ejpam-4751	91	38	]	]	PUNCT
ejpam-4751	91	39	a4	a4	NOUN
ejpam-4751	91	40	=	=	SYM
ejpam-4751	91	41	fa	fa	NOUN
ejpam-4751	91	42	2ce	2ce	NOUN
ejpam-4751	91	43	[	[	PUNCT
ejpam-4751	91	44	sin(2s1	sin(2s1	NOUN
ejpam-4751	91	45	)	)	PUNCT
ejpam-4751	91	46	2cos2	2cos2	NUM
ejpam-4751	91	47	(	(	PUNCT
ejpam-4751	91	48	2s1)−	2s1)−	NOUN
ejpam-4751	91	49	1	1	NUM
ejpam-4751	91	50	]	]	PUNCT
ejpam-4751	91	51	∪1p(η	∪1p(η	NOUN
ejpam-4751	91	52	)	)	PUNCT
ejpam-4751	91	53	=	=	PUNCT
ejpam-4751	91	54	b1	b1	NOUN
ejpam-4751	91	55	+	+	NOUN
ejpam-4751	91	56	b2(η	b2(η	ADJ
ejpam-4751	91	57	)	)	PUNCT
ejpam-4751	91	58	+	+	ADJ
ejpam-4751	91	59	b3cos(2s1η	b3cos(2s1η	NOUN
ejpam-4751	91	60	)	)	PUNCT
ejpam-4751	91	61	+	+	NOUN
ejpam-4751	91	62	b4sin(2s1η	b4sin(2s1η	NOUN
ejpam-4751	91	63	)	)	PUNCT
ejpam-4751	91	64	.	.	PUNCT
ejpam-4751	92	1	(	(	PUNCT
ejpam-4751	92	2	24	24	NUM
ejpam-4751	92	3	)	)	PUNCT
ejpam-4751	92	4	m.	m.	NOUN
ejpam-4751	92	5	m.	m.	NOUN
ejpam-4751	92	6	aziz	aziz	PROPN
ejpam-4751	92	7	/	/	SYM
ejpam-4751	92	8	eur	eur	PROPN
ejpam-4751	92	9	.	.	PUNCT
ejpam-4751	93	1	j.	j.	PROPN
ejpam-4751	93	2	pure	pure	PROPN
ejpam-4751	93	3	appl	appl	PROPN
ejpam-4751	93	4	.	.	PROPN
ejpam-4751	93	5	math	math	PROPN
ejpam-4751	93	6	,	,	PUNCT
ejpam-4751	93	7	16	16	NUM
ejpam-4751	93	8	(	(	PUNCT
ejpam-4751	93	9	2	2	NUM
ejpam-4751	93	10	)	)	PUNCT
ejpam-4751	93	11	(	(	PUNCT
ejpam-4751	93	12	2023	2023	NUM
ejpam-4751	93	13	)	)	PUNCT
ejpam-4751	93	14	,	,	PUNCT
ejpam-4751	93	15	983	983	NUM
ejpam-4751	93	16	-	-	SYM
ejpam-4751	93	17	996	996	NUM
ejpam-4751	93	18	988	988	NUM
ejpam-4751	93	19	and	and	CCONJ
ejpam-4751	93	20	we	we	PRON
ejpam-4751	93	21	found	find	VERB
ejpam-4751	93	22	∪1c(η	∪1c(η	NOUN
ejpam-4751	93	23	)	)	PUNCT
ejpam-4751	93	24	by	by	ADP
ejpam-4751	93	25	method	method	NOUN
ejpam-4751	93	26	of	of	ADP
ejpam-4751	93	27	variation	variation	NOUN
ejpam-4751	93	28	which	which	PRON
ejpam-4751	93	29	has	have	VERB
ejpam-4751	93	30	the	the	DET
ejpam-4751	93	31	form	form	NOUN
ejpam-4751	93	32	u1c(η	u1c(η	PROPN
ejpam-4751	93	33	)	)	PUNCT
ejpam-4751	93	34	=	=	SYM
ejpam-4751	93	35	1	1	NUM
ejpam-4751	93	36	4	4	NUM
ejpam-4751	93	37	s−1	s−1	PROPN
ejpam-4751	93	38	f	f	PROPN
ejpam-4751	93	39	ae	ae	PROPN
ejpam-4751	93	40	[	[	PUNCT
ejpam-4751	93	41	h1η	h1η	NOUN
ejpam-4751	93	42	2	2	NUM
ejpam-4751	93	43	+	+	CCONJ
ejpam-4751	93	44	h2η	h2η	PROPN
ejpam-4751	93	45	3	3	NUM
ejpam-4751	93	46	+	+	CCONJ
ejpam-4751	93	47	h3η	h3η	NOUN
ejpam-4751	93	48	4	4	NUM
ejpam-4751	93	49	+	+	CCONJ
ejpam-4751	93	50	h4η	h4η	PROPN
ejpam-4751	93	51	cos	cos	PROPN
ejpam-4751	93	52	(	(	PUNCT
ejpam-4751	93	53	2s1η	2s1η	NUM
ejpam-4751	93	54	)	)	PUNCT
ejpam-4751	93	55	+	+	CCONJ
ejpam-4751	94	1	h5η	h5η	ADJ
ejpam-4751	94	2	sin	sin	NOUN
ejpam-4751	94	3	(	(	PUNCT
ejpam-4751	94	4	2s1η)+	2s1η)+	NUM
ejpam-4751	94	5	h6	h6	PROPN
ejpam-4751	94	6	sin	sin	VERB
ejpam-4751	94	7	2	2	NUM
ejpam-4751	94	8	(	(	PUNCT
ejpam-4751	94	9	2s1η	2s1η	NUM
ejpam-4751	94	10	)	)	PUNCT
ejpam-4751	95	1	+	+	CCONJ
ejpam-4751	95	2	h7η	h7η	PROPN
ejpam-4751	95	3	2	2	NUM
ejpam-4751	95	4	cos	cos	X
ejpam-4751	95	5	(	(	PUNCT
ejpam-4751	95	6	2s1η	2s1η	NUM
ejpam-4751	95	7	)	)	PUNCT
ejpam-4751	95	8	+	+	CCONJ
ejpam-4751	95	9	h8η	h8η	NUM
ejpam-4751	95	10	2	2	NUM
ejpam-4751	95	11	sin	sin	NOUN
ejpam-4751	95	12	(	(	PUNCT
ejpam-4751	95	13	2s1η	2s1η	NUM
ejpam-4751	95	14	)	)	PUNCT
ejpam-4751	95	15	+	+	CCONJ
ejpam-4751	95	16	h9η	h9η	PROPN
ejpam-4751	95	17	sin	sin	NOUN
ejpam-4751	95	18	2	2	NUM
ejpam-4751	95	19	(	(	PUNCT
ejpam-4751	95	20	2s1η	2s1η	NUM
ejpam-4751	95	21	)	)	PUNCT
ejpam-4751	95	22	+	+	CCONJ
ejpam-4751	95	23	h10	h10	NOUN
ejpam-4751	95	24	sin	sin	NOUN
ejpam-4751	95	25	(	(	PUNCT
ejpam-4751	95	26	2s1η	2s1η	NUM
ejpam-4751	95	27	)	)	PUNCT
ejpam-4751	95	28	cos	cos	PROPN
ejpam-4751	95	29	(	(	PUNCT
ejpam-4751	95	30	2s1η	2s1η	NUM
ejpam-4751	95	31	)	)	PUNCT
ejpam-4751	96	1	+	+	CCONJ
ejpam-4751	96	2	h11	h11	NOUN
ejpam-4751	96	3	sin	sin	NOUN
ejpam-4751	96	4	(	(	PUNCT
ejpam-4751	96	5	2s1η	2s1η	NUM
ejpam-4751	96	6	)	)	PUNCT
ejpam-4751	96	7	cos	cos	ADP
ejpam-4751	96	8	2	2	NUM
ejpam-4751	96	9	(	(	PUNCT
ejpam-4751	96	10	2s1η	2s1η	NUM
ejpam-4751	96	11	)	)	PUNCT
ejpam-4751	96	12	+	+	CCONJ
ejpam-4751	96	13	h12	h12	NOUN
ejpam-4751	96	14	sin	sin	NOUN
ejpam-4751	96	15	2	2	NUM
ejpam-4751	96	16	(	(	PUNCT
ejpam-4751	96	17	2s1η	2s1η	NUM
ejpam-4751	96	18	)	)	PUNCT
ejpam-4751	96	19	cos	cos	PROPN
ejpam-4751	96	20	(	(	PUNCT
ejpam-4751	96	21	2s1η	2s1η	NUM
ejpam-4751	96	22	)	)	PUNCT
ejpam-4751	96	23	+	+	SYM
ejpam-4751	96	24	h13sin(2s1η	h13sin(2s1η	ADJ
ejpam-4751	96	25	)	)	PUNCT
ejpam-4751	96	26	cos2(2s1η	cos2(2s1η	PROPN
ejpam-4751	96	27	)	)	PUNCT
ejpam-4751	97	1	+	+	NUM
ejpam-4751	97	2	h14ηsin	h14ηsin	NOUN
ejpam-4751	97	3	2	2	NUM
ejpam-4751	97	4	(	(	PUNCT
ejpam-4751	97	5	2s1η	2s1η	NUM
ejpam-4751	97	6	)	)	PUNCT
ejpam-4751	97	7	cos(2s1η	cos(2s1η	PROPN
ejpam-4751	97	8	)	)	PUNCT
ejpam-4751	97	9	.	.	PUNCT
ejpam-4751	98	1	(	(	PUNCT
ejpam-4751	98	2	25	25	NUM
ejpam-4751	98	3	)	)	PUNCT
ejpam-4751	98	4	where	where	SCONJ
ejpam-4751	98	5	h1	h1	NOUN
ejpam-4751	98	6	=	=	SYM
ejpam-4751	98	7	1	1	NUM
ejpam-4751	98	8	2	2	NUM
ejpam-4751	98	9	a2	a2	NOUN
ejpam-4751	98	10	2	2	NUM
ejpam-4751	98	11	+	+	NOUN
ejpam-4751	98	12	3sa2	3sa2	NUM
ejpam-4751	98	13	4	4	NUM
ejpam-4751	98	14	−	−	NOUN
ejpam-4751	98	15	sa2	sa2	NOUN
ejpam-4751	98	16	3	3	NUM
ejpam-4751	98	17	−	−	NOUN
ejpam-4751	98	18	s−1a2	s−1a2	PROPN
ejpam-4751	98	19	5	5	NUM
ejpam-4751	98	20	h2	h2	NOUN
ejpam-4751	98	21	=	=	SYM
ejpam-4751	98	22	2	2	NUM
ejpam-4751	98	23	3	3	NUM
ejpam-4751	98	24	a2a5	a2a5	PROPN
ejpam-4751	98	25	h3	h3	NOUN
ejpam-4751	98	26	=	=	SYM
ejpam-4751	98	27	1	1	NUM
ejpam-4751	98	28	3	3	NUM
ejpam-4751	98	29	a2	a2	PROPN
ejpam-4751	98	30	5	5	NUM
ejpam-4751	98	31	h4	h4	NOUN
ejpam-4751	98	32	=	=	SYM
ejpam-4751	98	33	4a3a4	4a3a4	PROPN
ejpam-4751	98	34	−	−	PROPN
ejpam-4751	98	35	2s−1	2s−1	NUM
ejpam-4751	98	36	1	1	NUM
ejpam-4751	99	1	a2a5	a2a5	X
ejpam-4751	99	2	−a2a3	−a2a3	NOUN
ejpam-4751	99	3	−	−	NOUN
ejpam-4751	99	4	1	1	NUM
ejpam-4751	99	5	2	2	NUM
ejpam-4751	99	6	s−1	s−1	PROPN
ejpam-4751	99	7	1	1	NUM
ejpam-4751	99	8	a4a5	a4a5	NOUN
ejpam-4751	99	9	h5	h5	NOUN
ejpam-4751	99	10	=	=	SYM
ejpam-4751	99	11	5	5	NUM
ejpam-4751	99	12	2	2	NUM
ejpam-4751	99	13	s	s	NOUN
ejpam-4751	99	14	−1	−1	NOUN
ejpam-4751	99	15	1	1	NUM
ejpam-4751	99	16	a3a5	a3a5	NOUN
ejpam-4751	99	17	−	−	PROPN
ejpam-4751	99	18	2s−1	2s−1	NUM
ejpam-4751	99	19	1	1	NUM
ejpam-4751	99	20	a3a4	a3a4	NOUN
ejpam-4751	99	21	−a2a4	−a2a4	PROPN
ejpam-4751	99	22	h6	h6	PROPN
ejpam-4751	99	23	=	=	PROPN
ejpam-4751	99	24	2	2	NUM
ejpam-4751	99	25	g	g	NOUN
ejpam-4751	99	26	12	12	NUM
ejpam-4751	99	27	a	a	DET
ejpam-4751	99	28	2	2	NUM
ejpam-4751	99	29	4	4	NUM
ejpam-4751	99	30	−	−	NOUN
ejpam-4751	99	31	17	17	NUM
ejpam-4751	99	32	12	12	NUM
ejpam-4751	99	33	a	a	DET
ejpam-4751	99	34	2	2	NUM
ejpam-4751	99	35	3	3	NUM
ejpam-4751	99	36	−	−	PROPN
ejpam-4751	99	37	s1a	s1a	NUM
ejpam-4751	99	38	2	2	NUM
ejpam-4751	99	39	4	4	NUM
ejpam-4751	99	40	h7	h7	NOUN
ejpam-4751	99	41	=	=	NOUN
ejpam-4751	99	42	−2a3a5	−2a3a5	NOUN
ejpam-4751	99	43	h8	h8	NOUN
ejpam-4751	99	44	=	=	SYM
ejpam-4751	99	45	−a4a5	−a4a5	PROPN
ejpam-4751	99	46	h9	h9	NOUN
ejpam-4751	99	47	=	=	SYM
ejpam-4751	99	48	a2a5	a2a5	X
ejpam-4751	99	49	+	+	NOUN
ejpam-4751	99	50	2s1a3a4	2s1a3a4	NUM
ejpam-4751	99	51	−	−	NOUN
ejpam-4751	99	52	s−1	s−1	PROPN
ejpam-4751	99	53	1	1	NUM
ejpam-4751	99	54	a2a5	a2a5	PROPN
ejpam-4751	99	55	h10	h10	NOUN
ejpam-4751	99	56	=	=	SYM
ejpam-4751	99	57	−5	−5	PROPN
ejpam-4751	99	58	3	3	NUM
ejpam-4751	99	59	a3a4	a3a4	NOUN
ejpam-4751	99	60	h11	h11	NOUN
ejpam-4751	99	61	=	=	PUNCT
ejpam-4751	99	62	−(s−1	−(s−1	NOUN
ejpam-4751	99	63	1	1	NUM
ejpam-4751	99	64	a2a4	a2a4	ADP
ejpam-4751	99	65	−	−	PROPN
ejpam-4751	99	66	1	1	NUM
ejpam-4751	99	67	4	4	NUM
ejpam-4751	99	68	s−1	s−1	PROPN
ejpam-4751	99	69	1	1	NUM
ejpam-4751	99	70	a4a5	a4a5	NOUN
ejpam-4751	99	71	)	)	PUNCT
ejpam-4751	99	72	h12	h12	NOUN
ejpam-4751	100	1	=	=	PUNCT
ejpam-4751	100	2	s−1	s−1	PROPN
ejpam-4751	100	3	1	1	NUM
ejpam-4751	100	4	a2a4	a2a4	ADP
ejpam-4751	100	5	−	−	NUM
ejpam-4751	100	6	1	1	NUM
ejpam-4751	100	7	2	2	NUM
ejpam-4751	100	8	s−1	s−1	PROPN
ejpam-4751	100	9	1	1	NUM
ejpam-4751	100	10	a3a4	a3a4	NOUN
ejpam-4751	100	11	+	+	CCONJ
ejpam-4751	100	12	s−1	s−1	PROPN
ejpam-4751	100	13	1	1	NUM
ejpam-4751	100	14	a4a5	a4a5	NOUN
ejpam-4751	100	15	h13	h13	NOUN
ejpam-4751	100	16	=	=	SYM
ejpam-4751	100	17	s−1	s−1	PROPN
ejpam-4751	100	18	1	1	NUM
ejpam-4751	100	19	a3a5	a3a5	NOUN
ejpam-4751	100	20	−	−	NOUN
ejpam-4751	100	21	s−1	s−1	PROPN
ejpam-4751	100	22	1	1	NUM
ejpam-4751	100	23	a4a5	a4a5	NOUN
ejpam-4751	100	24	h14	h14	NOUN
ejpam-4751	100	25	=	=	SYM
ejpam-4751	100	26	−s−1	−s−1	NUM
ejpam-4751	100	27	1	1	NUM
ejpam-4751	100	28	a4a5	a4a5	NOUN
ejpam-4751	100	29	we	we	PRON
ejpam-4751	100	30	found	find	VERB
ejpam-4751	100	31	∪1(η	∪1(η	NOUN
ejpam-4751	100	32	)	)	PUNCT
ejpam-4751	100	33	which	which	PRON
ejpam-4751	100	34	has	have	VERB
ejpam-4751	100	35	the	the	DET
ejpam-4751	100	36	form	form	NOUN
ejpam-4751	100	37	.	.	PUNCT
ejpam-4751	101	1	∪1(η	∪1(η	ADJ
ejpam-4751	101	2	)	)	PUNCT
ejpam-4751	101	3	=	=	SYM
ejpam-4751	101	4	∪1p(η	∪1p(η	NOUN
ejpam-4751	101	5	)	)	PUNCT
ejpam-4751	101	6	+	+	SYM
ejpam-4751	101	7	∪1c(η	∪1c(η	NOUN
ejpam-4751	101	8	)	)	PUNCT
ejpam-4751	101	9	by	by	ADP
ejpam-4751	101	10	using	use	VERB
ejpam-4751	101	11	boundary	boundary	ADJ
ejpam-4751	101	12	conditions	condition	NOUN
ejpam-4751	101	13	,	,	PUNCT
ejpam-4751	101	14	we	we	PRON
ejpam-4751	101	15	found	find	VERB
ejpam-4751	101	16	the	the	DET
ejpam-4751	101	17	constants	constant	NOUN
ejpam-4751	101	18	b1	b1	NOUN
ejpam-4751	101	19	,	,	PUNCT
ejpam-4751	101	20	b2	b2	NOUN
ejpam-4751	101	21	,	,	PUNCT
ejpam-4751	101	22	b3	b3	PROPN
ejpam-4751	101	23	,	,	PUNCT
ejpam-4751	101	24	b4	b4	NOUN
ejpam-4751	101	25	,	,	PUNCT
ejpam-4751	101	26	where	where	SCONJ
ejpam-4751	101	27	b1	b1	NOUN
ejpam-4751	101	28	=	=	SYM
ejpam-4751	101	29	−b1cos(2s1)−	−b1cos(2s1)−	PROPN
ejpam-4751	101	30	1	1	NUM
ejpam-4751	101	31	8s	8s	NUM
ejpam-4751	101	32	(	(	PUNCT
ejpam-4751	101	33	f	f	PROPN
ejpam-4751	101	34	ae	ae	PROPN
ejpam-4751	101	35	)	)	PUNCT
ejpam-4751	101	36	[	[	PUNCT
ejpam-4751	101	37	a2	a2	PROPN
ejpam-4751	101	38	2	2	NUM
ejpam-4751	101	39	+	+	CCONJ
ejpam-4751	101	40	6s	6s	NUM
ejpam-4751	101	41	a2	a2	PROPN
ejpam-4751	101	42	4–2s	4–2s	NUM
ejpam-4751	101	43	a2	a2	PROPN
ejpam-4751	101	44	3	3	NUM
ejpam-4751	101	45	−	−	PROPN
ejpam-4751	101	46	s	s	NOUN
ejpam-4751	101	47	a2	a2	PROPN
ejpam-4751	101	48	5	5	NUM
ejpam-4751	101	49	+	+	CCONJ
ejpam-4751	101	50	1	1	NUM
ejpam-4751	101	51	3	3	NUM
ejpam-4751	101	52	a2	a2	PROPN
ejpam-4751	101	53	5)−	5)−	NUM
ejpam-4751	101	54	4a3a5cos(2s1	4a3a5cos(2s1	NUM
ejpam-4751	101	55	)	)	PUNCT
ejpam-4751	102	1	+	+	CCONJ
ejpam-4751	102	2	(	(	PUNCT
ejpam-4751	102	3	s−1	s−1	PROPN
ejpam-4751	102	4	1	1	NUM
ejpam-4751	102	5	a3a4	a3a4	VERB
ejpam-4751	102	6	−a2a4)sin(2s1	−a2a4)sin(2s1	ADJ
ejpam-4751	102	7	)	)	PUNCT
ejpam-4751	103	1	+	+	CCONJ
ejpam-4751	103	2	[	[	PUNCT
ejpam-4751	103	3	26	26	NUM
ejpam-4751	103	4	6	6	NUM
ejpam-4751	103	5	a2	a2	NOUN
ejpam-4751	103	6	4	4	NUM
ejpam-4751	103	7	−	−	NOUN
ejpam-4751	103	8	17	17	NUM
ejpam-4751	103	9	6	6	NUM
ejpam-4751	103	10	a2	a2	PROPN
ejpam-4751	103	11	3	3	NUM
ejpam-4751	103	12	−	−	NOUN
ejpam-4751	103	13	2s1a	2s1a	NUM
ejpam-4751	103	14	2	2	NUM
ejpam-4751	103	15	4]sin	4]sin	NOUN
ejpam-4751	103	16	2(2s1)−	2(2s1)−	NUM
ejpam-4751	103	17	1	1	NUM
ejpam-4751	103	18	2s1	2s1	NUM
ejpam-4751	103	19	a4a5	a4a5	X
ejpam-4751	103	20	sin(2s1)cos	sin(2s1)cos	NOUN
ejpam-4751	103	21	2(2s1	2(2s1	NOUN
ejpam-4751	103	22	)	)	PUNCT
ejpam-4751	104	1	+	+	CCONJ
ejpam-4751	104	2	(	(	PUNCT
ejpam-4751	104	3	2s−1	2s−1	NUM
ejpam-4751	104	4	1	1	NUM
ejpam-4751	104	5	a2a4	a2a4	ADP
ejpam-4751	104	6	−	−	NOUN
ejpam-4751	104	7	s−1	s−1	PROPN
ejpam-4751	104	8	1	1	NUM
ejpam-4751	104	9	a3a4	a3a4	NOUN
ejpam-4751	104	10	+	+	CCONJ
ejpam-4751	104	11	2s−1	2s−1	NUM
ejpam-4751	104	12	1	1	NUM
ejpam-4751	104	13	a4a5)cos(2s1)sin	a4a5)cos(2s1)sin	NOUN
ejpam-4751	104	14	2(2s1	2(2s1	NUM
ejpam-4751	104	15	)	)	PUNCT
ejpam-4751	104	16	.	.	PUNCT
ejpam-4751	105	1	b2	b2	NOUN
ejpam-4751	105	2	=	=	PROPN
ejpam-4751	105	3	−b4	−b4	PROPN
ejpam-4751	105	4	sin	sin	NOUN
ejpam-4751	105	5	(	(	PUNCT
ejpam-4751	105	6	2s1)−	2s1)−	NOUN
ejpam-4751	105	7	1	1	NUM
ejpam-4751	105	8	8s	8s	PROPN
ejpam-4751	105	9	f	f	PROPN
ejpam-4751	105	10	ae	ae	PROPN
ejpam-4751	106	1	[	[	PUNCT
ejpam-4751	106	2	−4	−4	PROPN
ejpam-4751	106	3	3	3	NUM
ejpam-4751	106	4	a2a5	a2a5	PROPN
ejpam-4751	106	5	−	−	PROPN
ejpam-4751	106	6	(	(	PUNCT
ejpam-4751	106	7	8a3a4	8a3a4	NUM
ejpam-4751	106	8	−	−	PROPN
ejpam-4751	106	9	4s−1	4s−1	NUM
ejpam-4751	106	10	1	1	NUM
ejpam-4751	106	11	a2a4−	a2a4−	NOUN
ejpam-4751	106	12	2a2a3	2a2a3	NUM
ejpam-4751	106	13	−	−	NOUN
ejpam-4751	107	1	s−1	s−1	PROPN
ejpam-4751	107	2	1	1	NUM
ejpam-4751	107	3	a2a5	a2a5	PROPN
ejpam-4751	107	4	cos	cos	X
ejpam-4751	107	5	(	(	PUNCT
ejpam-4751	107	6	2s1	2s1	NUM
ejpam-4751	107	7	)	)	PUNCT
ejpam-4751	108	1	+	+	NOUN
ejpam-4751	108	2	a4a5	a4a5	NOUN
ejpam-4751	108	3	sin	sin	NOUN
ejpam-4751	108	4	(	(	PUNCT
ejpam-4751	108	5	2s1)−	2s1)−	NUM
ejpam-4751	108	6	(	(	PUNCT
ejpam-4751	108	7	a2a5	a2a5	X
ejpam-4751	108	8	+	+	NUM
ejpam-4751	108	9	4s1a3a4	4s1a3a4	NUM
ejpam-4751	108	10	+	+	SYM
ejpam-4751	108	11	5−1a2a5	5−1a2a5	NUM
ejpam-4751	108	12	)	)	PUNCT
ejpam-4751	108	13	sin2	sin2	NOUN
ejpam-4751	108	14	(	(	PUNCT
ejpam-4751	108	15	2s1	2s1	NUM
ejpam-4751	108	16	)	)	PUNCT
ejpam-4751	108	17	+	+	CCONJ
ejpam-4751	108	18	10	10	NUM
ejpam-4751	108	19	3	3	NUM
ejpam-4751	108	20	a3a4	a3a4	VERB
ejpam-4751	108	21	sin	sin	NOUN
ejpam-4751	108	22	(	(	PUNCT
ejpam-4751	108	23	2s1	2s1	NUM
ejpam-4751	108	24	)	)	PUNCT
ejpam-4751	108	25	cos	cos	PROPN
ejpam-4751	108	26	(	(	PUNCT
ejpam-4751	108	27	2s1	2s1	NUM
ejpam-4751	108	28	)	)	PUNCT
ejpam-4751	109	1	+	+	CCONJ
ejpam-4751	109	2	(	(	PUNCT
ejpam-4751	109	3	2s−1	2s−1	NUM
ejpam-4751	109	4	1	1	NUM
ejpam-4751	109	5	a3a4	a3a4	NOUN
ejpam-4751	109	6	+	+	NUM
ejpam-4751	109	7	4s−1a4a5	4s−1a4a5	NUM
ejpam-4751	109	8	+	+	CCONJ
ejpam-4751	109	9	2s−1a3a5	2s−1a3a5	NUM
ejpam-4751	109	10	)	)	PUNCT
ejpam-4751	109	11	sin	sin	NOUN
ejpam-4751	109	12	(	(	PUNCT
ejpam-4751	109	13	2s1	2s1	NUM
ejpam-4751	109	14	)	)	PUNCT
ejpam-4751	109	15	cos	cos	ADP
ejpam-4751	109	16	2	2	NUM
ejpam-4751	109	17	(	(	PUNCT
ejpam-4751	109	18	2s1)+	2s1)+	NUM
ejpam-4751	109	19	2s−1	2s−1	NUM
ejpam-4751	109	20	1	1	NUM
ejpam-4751	109	21	a4a5	a4a5	NOUN
ejpam-4751	109	22	sin	sin	NOUN
ejpam-4751	109	23	2	2	NUM
ejpam-4751	109	24	(	(	PUNCT
ejpam-4751	109	25	2s1	2s1	NUM
ejpam-4751	109	26	)	)	PUNCT
ejpam-4751	109	27	cos	cos	PROPN
ejpam-4751	109	28	(	(	PUNCT
ejpam-4751	109	29	2s1	2s1	NUM
ejpam-4751	109	30	)	)	PUNCT
ejpam-4751	109	31	]	]	PUNCT
ejpam-4751	109	32	m.	m.	NOUN
ejpam-4751	109	33	m.	m.	PROPN
ejpam-4751	109	34	aziz	aziz	PROPN
ejpam-4751	109	35	/	/	SYM
ejpam-4751	109	36	eur	eur	PROPN
ejpam-4751	109	37	.	.	PUNCT
ejpam-4751	110	1	j.	j.	PROPN
ejpam-4751	110	2	pure	pure	PROPN
ejpam-4751	110	3	appl	appl	PROPN
ejpam-4751	110	4	.	.	PROPN
ejpam-4751	110	5	math	math	PROPN
ejpam-4751	110	6	,	,	PUNCT
ejpam-4751	110	7	16	16	NUM
ejpam-4751	110	8	(	(	PUNCT
ejpam-4751	110	9	2	2	NUM
ejpam-4751	110	10	)	)	PUNCT
ejpam-4751	110	11	(	(	PUNCT
ejpam-4751	110	12	2023	2023	NUM
ejpam-4751	110	13	)	)	PUNCT
ejpam-4751	110	14	,	,	PUNCT
ejpam-4751	110	15	983	983	NUM
ejpam-4751	110	16	-	-	SYM
ejpam-4751	110	17	996	996	NUM
ejpam-4751	110	18	989	989	NUM
ejpam-4751	110	19	b3	b3	PROPN
ejpam-4751	110	20	=	=	SYM
ejpam-4751	110	21	b4	b4	PROPN
ejpam-4751	110	22	tan	tan	PROPN
ejpam-4751	110	23	(	(	PUNCT
ejpam-4751	110	24	2s1	2s1	NUM
ejpam-4751	110	25	)	)	PUNCT
ejpam-4751	110	26	+	+	CCONJ
ejpam-4751	110	27	1	1	NUM
ejpam-4751	110	28	16s2	16s2	NUM
ejpam-4751	110	29	.	.	PUNCT
ejpam-4751	111	1	f	f	PROPN
ejpam-4751	111	2	ae	ae	PROPN
ejpam-4751	111	3	.	.	PUNCT
ejpam-4751	112	1	1	1	NUM
ejpam-4751	112	2	cos	cos	X
ejpam-4751	112	3	(	(	PUNCT
ejpam-4751	112	4	2s1	2s1	NUM
ejpam-4751	112	5	)	)	PUNCT
ejpam-4751	112	6	b4	b4	NOUN
ejpam-4751	112	7	=	=	NOUN
ejpam-4751	112	8	1	1	NUM
ejpam-4751	112	9	32	32	NUM
ejpam-4751	112	10	s−5	s−5	NOUN
ejpam-4751	112	11	1	1	NUM
ejpam-4751	112	12	1	1	NUM
ejpam-4751	112	13	1−	1−	NUM
ejpam-4751	112	14	2	2	NUM
ejpam-4751	112	15	sin2	sin2	NOUN
ejpam-4751	112	16	(	(	PUNCT
ejpam-4751	112	17	2s1	2s1	NUM
ejpam-4751	112	18	)	)	PUNCT
ejpam-4751	112	19	f	f	PROPN
ejpam-4751	112	20	ae	ae	PROPN
ejpam-4751	112	21	(	(	PUNCT
ejpam-4751	112	22	−32s1a3a4	−32s1a3a4	PROPN
ejpam-4751	112	23	−	−	PROPN
ejpam-4751	112	24	32s1a4a5	32s1a4a5	NUM
ejpam-4751	112	25	−	−	PROPN
ejpam-4751	112	26	12s1a2a5	12s1a2a5	NUM
ejpam-4751	112	27	−	−	NUM
ejpam-4751	112	28	12s1a2a3	12s1a2a3	NUM
ejpam-4751	112	29	+	+	SYM
ejpam-4751	112	30	56	56	NUM
ejpam-4751	112	31	s1a3a5	s1a3a5	NOUN
ejpam-4751	112	32	+	+	CCONJ
ejpam-4751	112	33	4s1a3a5	4s1a3a5	NUM
ejpam-4751	112	34	−8s3	−8s3	NUM
ejpam-4751	112	35	1a2a4	1a2a4	NOUN
ejpam-4751	112	36	−	−	PROPN
ejpam-4751	112	37	8s3	8s3	NUM
ejpam-4751	112	38	1a4a5	1a4a5	NUM
ejpam-4751	112	39	)	)	PUNCT
ejpam-4751	113	1	+	+	CCONJ
ejpam-4751	113	2	(	(	PUNCT
ejpam-4751	113	3	2s1a	2s1a	NUM
ejpam-4751	113	4	2	2	NUM
ejpam-4751	113	5	2	2	NUM
ejpam-4751	113	6	−	−	PROPN
ejpam-4751	113	7	60s3	60s3	NUM
ejpam-4751	113	8	1a	1a	NOUN
ejpam-4751	113	9	2	2	NUM
ejpam-4751	113	10	4	4	NUM
ejpam-4751	113	11	+	+	SYM
ejpam-4751	113	12	56	56	NUM
ejpam-4751	113	13	3	3	NUM
ejpam-4751	113	14	s3	s3	PROPN
ejpam-4751	113	15	1a	1a	X
ejpam-4751	113	16	2	2	NUM
ejpam-4751	113	17	3	3	NUM
ejpam-4751	113	18	+	+	SYM
ejpam-4751	113	19	16s2	16s2	NUM
ejpam-4751	113	20	1a	1a	NOUN
ejpam-4751	113	21	2	2	NUM
ejpam-4751	113	22	4	4	NUM
ejpam-4751	113	23	−4s−1	−4s−1	PROPN
ejpam-4751	113	24	1	1	NUM
ejpam-4751	113	25	a2	a2	NOUN
ejpam-4751	113	26	5	5	NUM
ejpam-4751	113	27	+	+	CCONJ
ejpam-4751	113	28	8s3	8s3	NUM
ejpam-4751	113	29	1a2a5	1a2a5	NUM
ejpam-4751	113	30	+	+	CCONJ
ejpam-4751	113	31	16s2	16s2	NUM
ejpam-4751	113	32	1a3a4	1a3a4	NUM
ejpam-4751	113	33	+	+	CCONJ
ejpam-4751	113	34	8s1a	8s1a	ADJ
ejpam-4751	113	35	2	2	NUM
ejpam-4751	113	36	5	5	NUM
ejpam-4751	113	37	−	−	PROPN
ejpam-4751	113	38	16s1a2a5	16s1a2a5	NUM
ejpam-4751	113	39	)	)	PUNCT
ejpam-4751	113	40	sin	sin	NOUN
ejpam-4751	113	41	(	(	PUNCT
ejpam-4751	113	42	2s1	2s1	NUM
ejpam-4751	113	43	)	)	PUNCT
ejpam-4751	113	44	(	(	PUNCT
ejpam-4751	113	45	16s1a2a5	16s1a2a5	NUM
ejpam-4751	113	46	+	+	SYM
ejpam-4751	113	47	136	136	NUM
ejpam-4751	113	48	3	3	NUM
ejpam-4751	113	49	s2	s2	NOUN
ejpam-4751	113	50	1a3a4	1a3a4	NUM
ejpam-4751	113	51	−	−	PROPN
ejpam-4751	113	52	12a2a5	12a2a5	PROPN
ejpam-4751	113	53	+	+	CCONJ
ejpam-4751	113	54	8a2	8a2	NUM
ejpam-4751	113	55	5	5	NUM
ejpam-4751	113	56	)	)	PUNCT
ejpam-4751	113	57	cos	cos	ADP
ejpam-4751	113	58	(	(	PUNCT
ejpam-4751	113	59	2s1	2s1	NUM
ejpam-4751	113	60	)	)	PUNCT
ejpam-4751	113	61	+	+	CCONJ
ejpam-4751	113	62	(	(	PUNCT
ejpam-4751	113	63	64s1a3a4	64s1a3a4	NUM
ejpam-4751	113	64	−	−	NOUN
ejpam-4751	113	65	48	48	NUM
ejpam-4751	113	66	s1a4a5	s1a4a5	NOUN
ejpam-4751	113	67	−	−	PROPN
ejpam-4751	113	68	16s1a2a5	16s1a2a5	NUM
ejpam-4751	113	69	+	+	PUNCT
ejpam-4751	113	70	24s1	24s1	NUM
ejpam-4751	113	71	a2a3	a2a3	NOUN
ejpam-4751	113	72	+	+	CCONJ
ejpam-4751	113	73	72s1a3a5	72s1a3a5	NUM
ejpam-4751	113	74	+	+	SYM
ejpam-4751	113	75	16s1a3a5	16s1a3a5	NUM
ejpam-4751	113	76	)	)	PUNCT
ejpam-4751	113	77	sin	sin	NOUN
ejpam-4751	113	78	2	2	NUM
ejpam-4751	113	79	(	(	PUNCT
ejpam-4751	113	80	2s1	2s1	NUM
ejpam-4751	113	81	)	)	PUNCT
ejpam-4751	114	1	+	+	CCONJ
ejpam-4751	114	2	(	(	PUNCT
ejpam-4751	114	3	76s1a4a5	76s1a4a5	NUM
ejpam-4751	114	4	−	−	NOUN
ejpam-4751	114	5	126s1a3a4−	126s1a3a4−	PROPN
ejpam-4751	114	6	140s1a2a4	140s1a2a4	NUM
ejpam-4751	114	7	+	+	NUM
ejpam-4751	114	8	44	44	NUM
ejpam-4751	114	9	a3a5	a3a5	NOUN
ejpam-4751	114	10	−	−	NOUN
ejpam-4751	114	11	44a4a5	44a4a5	NOUN
ejpam-4751	114	12	+	+	CCONJ
ejpam-4751	114	13	6s1a3a5	6s1a3a5	NUM
ejpam-4751	114	14	+	+	CCONJ
ejpam-4751	114	15	64s3	64s3	NUM
ejpam-4751	114	16	1a3a4	1a3a4	NUM
ejpam-4751	114	17	−	−	PROPN
ejpam-4751	114	18	16s3	16s3	NUM
ejpam-4751	114	19	1a2a3	1a2a3	NUM
ejpam-4751	114	20	)	)	PUNCT
ejpam-4751	114	21	sin	sin	NOUN
ejpam-4751	114	22	(	(	PUNCT
ejpam-4751	114	23	2s1	2s1	NUM
ejpam-4751	114	24	)	)	PUNCT
ejpam-4751	114	25	cos	cos	PROPN
ejpam-4751	114	26	(	(	PUNCT
ejpam-4751	114	27	2s1)−	2s1)−	NUM
ejpam-4751	114	28	(	(	PUNCT
ejpam-4751	114	29	232	232	NUM
ejpam-4751	114	30	3	3	NUM
ejpam-4751	114	31	s3	s3	PROPN
ejpam-4751	114	32	1a	1a	X
ejpam-4751	114	33	2	2	NUM
ejpam-4751	114	34	4	4	NUM
ejpam-4751	114	35	−	−	NUM
ejpam-4751	114	36	136	136	NUM
ejpam-4751	114	37	3	3	NUM
ejpam-4751	114	38	s3	s3	PROPN
ejpam-4751	114	39	1a	1a	X
ejpam-4751	114	40	2	2	NUM
ejpam-4751	114	41	3	3	NUM
ejpam-4751	114	42	−	−	PROPN
ejpam-4751	114	43	96s2	96s2	NUM
ejpam-4751	114	44	1a	1a	NOUN
ejpam-4751	114	45	2	2	NUM
ejpam-4751	114	46	4	4	NUM
ejpam-4751	114	47	+	+	NUM
ejpam-4751	114	48	48s1a3a5	48s1a3a5	NUM
ejpam-4751	114	49	sin	sin	NOUN
ejpam-4751	114	50	2	2	NUM
ejpam-4751	114	51	(	(	PUNCT
ejpam-4751	114	52	2s1	2s1	NUM
ejpam-4751	114	53	)	)	PUNCT
ejpam-4751	114	54	cos	cos	ADP
ejpam-4751	114	55	2	2	NUM
ejpam-4751	114	56	(	(	PUNCT
ejpam-4751	114	57	2s1	2s1	NUM
ejpam-4751	114	58	)	)	PUNCT
ejpam-4751	115	1	+	+	CCONJ
ejpam-4751	115	2	(	(	PUNCT
ejpam-4751	115	3	144s1a2a4	144s1a2a4	NUM
ejpam-4751	115	4	−	−	ADP
ejpam-4751	115	5	72s1a3a4	72s1a3a4	NUM
ejpam-4751	115	6	+	+	SYM
ejpam-4751	115	7	144s1a4a5	144s1a4a5	NUM
ejpam-4751	115	8	+	+	NOUN
ejpam-4751	115	9	36a4a5	36a4a5	NOUN
ejpam-4751	115	10	−	−	PROPN
ejpam-4751	115	11	36a3a5	36a3a5	NUM
ejpam-4751	115	12	)	)	PUNCT
ejpam-4751	115	13	sin	sin	NOUN
ejpam-4751	115	14	3	3	NUM
ejpam-4751	115	15	(	(	PUNCT
ejpam-4751	115	16	2s1	2s1	NUM
ejpam-4751	115	17	)	)	PUNCT
ejpam-4751	115	18	cos	cos	PROPN
ejpam-4751	115	19	(	(	PUNCT
ejpam-4751	115	20	2s1	2s1	NUM
ejpam-4751	115	21	)	)	PUNCT
ejpam-4751	115	22	]	]	PUNCT
ejpam-4751	115	23	.	.	PUNCT
ejpam-4751	116	1	thus	thus	ADV
ejpam-4751	116	2	∪	∪	X
ejpam-4751	116	3	(	(	PUNCT
ejpam-4751	116	4	η	η	NOUN
ejpam-4751	116	5	)	)	PUNCT
ejpam-4751	116	6	=	=	SYM
ejpam-4751	116	7	p1	p1	NOUN
ejpam-4751	116	8	+	+	CCONJ
ejpam-4751	116	9	p2η	p2η	CCONJ
ejpam-4751	116	10	+	+	CCONJ
ejpam-4751	116	11	p3η	p3η	NOUN
ejpam-4751	116	12	2	2	NUM
ejpam-4751	116	13	+	+	CCONJ
ejpam-4751	116	14	p4η	p4η	ADP
ejpam-4751	116	15	3	3	NUM
ejpam-4751	116	16	+	+	NOUN
ejpam-4751	116	17	p5η	p5η	NOUN
ejpam-4751	116	18	4	4	NUM
ejpam-4751	116	19	+	+	CCONJ
ejpam-4751	116	20	p6	p6	ADJ
ejpam-4751	116	21	cos	cos	PROPN
ejpam-4751	116	22	(	(	PUNCT
ejpam-4751	116	23	2s1η	2s1η	NUM
ejpam-4751	116	24	)	)	PUNCT
ejpam-4751	116	25	+	+	CCONJ
ejpam-4751	116	26	p7	p7	ADJ
ejpam-4751	116	27	sin	sin	NOUN
ejpam-4751	116	28	(	(	PUNCT
ejpam-4751	116	29	2s1η	2s1η	NUM
ejpam-4751	116	30	)	)	PUNCT
ejpam-4751	116	31	+	+	CCONJ
ejpam-4751	116	32	p8η	p8η	PROPN
ejpam-4751	116	33	cos	cos	PROPN
ejpam-4751	116	34	(	(	PUNCT
ejpam-4751	116	35	2s1η	2s1η	NUM
ejpam-4751	116	36	)	)	PUNCT
ejpam-4751	116	37	+	+	NUM
ejpam-4751	116	38	p9η	p9η	ADJ
ejpam-4751	116	39	sin	sin	NOUN
ejpam-4751	116	40	(	(	PUNCT
ejpam-4751	116	41	2s1η	2s1η	NUM
ejpam-4751	116	42	)	)	PUNCT
ejpam-4751	116	43	+	+	CCONJ
ejpam-4751	116	44	p10	p10	ADJ
ejpam-4751	116	45	sin	sin	NOUN
ejpam-4751	116	46	2	2	NUM
ejpam-4751	116	47	(	(	PUNCT
ejpam-4751	116	48	2s1η	2s1η	NUM
ejpam-4751	116	49	)	)	PUNCT
ejpam-4751	116	50	+	+	NUM
ejpam-4751	116	51	p11η	p11η	PROPN
ejpam-4751	116	52	2	2	NUM
ejpam-4751	116	53	cos	cos	X
ejpam-4751	116	54	(	(	PUNCT
ejpam-4751	116	55	2s1η	2s1η	NUM
ejpam-4751	116	56	)	)	PUNCT
ejpam-4751	116	57	+	+	CCONJ
ejpam-4751	116	58	p12η	p12η	X
ejpam-4751	116	59	2	2	NUM
ejpam-4751	116	60	sin	sin	NOUN
ejpam-4751	116	61	(	(	PUNCT
ejpam-4751	116	62	2s1η	2s1η	NUM
ejpam-4751	116	63	)	)	PUNCT
ejpam-4751	116	64	+	+	NOUN
ejpam-4751	116	65	p13η	p13η	PRON
ejpam-4751	116	66	sin	sin	NOUN
ejpam-4751	116	67	2	2	NUM
ejpam-4751	116	68	(	(	PUNCT
ejpam-4751	116	69	2s1η	2s1η	NUM
ejpam-4751	116	70	)	)	PUNCT
ejpam-4751	116	71	+	+	CCONJ
ejpam-4751	116	72	p14	p14	ADJ
ejpam-4751	116	73	cos	cos	PROPN
ejpam-4751	116	74	(	(	PUNCT
ejpam-4751	116	75	2s1η	2s1η	NOUN
ejpam-4751	116	76	)	)	PUNCT
ejpam-4751	116	77	sin	sin	NOUN
ejpam-4751	116	78	(	(	PUNCT
ejpam-4751	116	79	2s1η	2s1η	NUM
ejpam-4751	116	80	)	)	PUNCT
ejpam-4751	116	81	+	+	CCONJ
ejpam-4751	116	82	p15	p15	ADJ
ejpam-4751	116	83	sin	sin	NOUN
ejpam-4751	116	84	(	(	PUNCT
ejpam-4751	116	85	2s1η	2s1η	NUM
ejpam-4751	116	86	)	)	PUNCT
ejpam-4751	116	87	cos	cos	ADP
ejpam-4751	116	88	2	2	NUM
ejpam-4751	116	89	(	(	PUNCT
ejpam-4751	116	90	2s1η	2s1η	NUM
ejpam-4751	116	91	)	)	PUNCT
ejpam-4751	116	92	+	+	NUM
ejpam-4751	116	93	p16	p16	NOUN
ejpam-4751	116	94	sin	sin	NOUN
ejpam-4751	116	95	2	2	NUM
ejpam-4751	116	96	(	(	PUNCT
ejpam-4751	116	97	2s1η	2s1η	NUM
ejpam-4751	116	98	)	)	PUNCT
ejpam-4751	116	99	cos	cos	PROPN
ejpam-4751	116	100	(	(	PUNCT
ejpam-4751	116	101	2s1η	2s1η	NUM
ejpam-4751	116	102	)	)	PUNCT
ejpam-4751	116	103	+	+	CCONJ
ejpam-4751	116	104	p17η	p17η	VERB
ejpam-4751	116	105	sin	sin	NOUN
ejpam-4751	116	106	(	(	PUNCT
ejpam-4751	116	107	2s1η	2s1η	NUM
ejpam-4751	116	108	)	)	PUNCT
ejpam-4751	116	109	cos	cos	ADP
ejpam-4751	116	110	2	2	NUM
ejpam-4751	116	111	(	(	PUNCT
ejpam-4751	116	112	2s1η	2s1η	NUM
ejpam-4751	116	113	)	)	PUNCT
ejpam-4751	116	114	+	+	CCONJ
ejpam-4751	116	115	p18η	p18η	PROPN
ejpam-4751	116	116	sin	sin	VERB
ejpam-4751	116	117	2	2	NUM
ejpam-4751	116	118	(	(	PUNCT
ejpam-4751	116	119	2s1η	2s1η	NUM
ejpam-4751	116	120	)	)	PUNCT
ejpam-4751	116	121	cos	cos	PROPN
ejpam-4751	116	122	(	(	PUNCT
ejpam-4751	116	123	2s1η	2s1η	NOUN
ejpam-4751	116	124	)	)	PUNCT
ejpam-4751	116	125	]	]	PUNCT
ejpam-4751	116	126	.	.	PUNCT
ejpam-4751	117	1	(	(	PUNCT
ejpam-4751	117	2	26	26	NUM
ejpam-4751	117	3	)	)	PUNCT
ejpam-4751	117	4	where	where	SCONJ
ejpam-4751	117	5	p1	p1	NOUN
ejpam-4751	117	6	=	=	SYM
ejpam-4751	117	7	a1	a1	PROPN
ejpam-4751	117	8	+	+	NOUN
ejpam-4751	117	9	db1	db1	NOUN
ejpam-4751	117	10	,	,	PUNCT
ejpam-4751	117	11	p2	p2	PROPN
ejpam-4751	117	12	=	=	SYM
ejpam-4751	117	13	a2	a2	PROPN
ejpam-4751	117	14	+	+	PROPN
ejpam-4751	117	15	db2	db2	PROPN
ejpam-4751	117	16	,	,	PUNCT
ejpam-4751	117	17	p3	p3	PROPN
ejpam-4751	117	18	=	=	PUNCT
ejpam-4751	117	19	a5	a5	PROPN
ejpam-4751	117	20	+	+	CCONJ
ejpam-4751	117	21	1	1	NUM
ejpam-4751	117	22	8	8	NUM
ejpam-4751	117	23	s−1	s−1	PROPN
ejpam-4751	117	24	1	1	NUM
ejpam-4751	117	25	ka2	ka2	NOUN
ejpam-4751	117	26	2	2	NUM
ejpam-4751	117	27	+	+	CCONJ
ejpam-4751	117	28	3	3	NUM
ejpam-4751	117	29	4	4	NUM
ejpam-4751	117	30	ka2	ka2	NOUN
ejpam-4751	117	31	4	4	NUM
ejpam-4751	117	32	−	−	NOUN
ejpam-4751	117	33	1	1	NUM
ejpam-4751	117	34	4ka	4ka	NOUN
ejpam-4751	117	35	2	2	NUM
ejpam-4751	117	36	3	3	NUM
ejpam-4751	117	37	−	−	NOUN
ejpam-4751	117	38	1	1	NUM
ejpam-4751	117	39	4	4	NUM
ejpam-4751	117	40	s−2	s−2	PROPN
ejpam-4751	117	41	1	1	NUM
ejpam-4751	117	42	a2	a2	PROPN
ejpam-4751	117	43	5	5	NUM
ejpam-4751	117	44	p4	p4	NOUN
ejpam-4751	117	45	=	=	NOUN
ejpam-4751	117	46	1	1	NUM
ejpam-4751	117	47	6	6	NUM
ejpam-4751	117	48	s−1	s−1	PROPN
ejpam-4751	117	49	1	1	NUM
ejpam-4751	117	50	ka2a5	ka2a5	NOUN
ejpam-4751	117	51	,	,	PUNCT
ejpam-4751	117	52	p5	p5	PROPN
ejpam-4751	117	53	=	=	NOUN
ejpam-4751	117	54	1	1	NUM
ejpam-4751	117	55	2	2	NUM
ejpam-4751	117	56	s−1	s−1	PROPN
ejpam-4751	117	57	1	1	NUM
ejpam-4751	117	58	ka2a	ka2a	NOUN
ejpam-4751	117	59	2	2	NUM
ejpam-4751	117	60	5	5	NUM
ejpam-4751	117	61	,	,	PUNCT
ejpam-4751	117	62	p6	p6	ADJ
ejpam-4751	117	63	=	=	NOUN
ejpam-4751	117	64	a3	a3	NOUN
ejpam-4751	118	1	+	+	PROPN
ejpam-4751	118	2	db3	db3	PROPN
ejpam-4751	118	3	,	,	PUNCT
ejpam-4751	118	4	p7	p7	ADJ
ejpam-4751	118	5	=	=	PUNCT
ejpam-4751	118	6	a4	a4	NOUN
ejpam-4751	118	7	+	+	NOUN
ejpam-4751	118	8	db4	db4	ADJ
ejpam-4751	118	9	,	,	PUNCT
ejpam-4751	118	10	p8	p8	NOUN
ejpam-4751	118	11	=	=	PUNCT
ejpam-4751	118	12	s−1	s−1	PROPN
ejpam-4751	118	13	1	1	NUM
ejpam-4751	118	14	ka3a4	ka3a4	NOUN
ejpam-4751	118	15	−	−	NUM
ejpam-4751	118	16	1	1	NUM
ejpam-4751	118	17	2	2	NUM
ejpam-4751	118	18	s−3	s−3	NOUN
ejpam-4751	118	19	1	1	NUM
ejpam-4751	119	1	ka2a5	ka2a5	NOUN
ejpam-4751	119	2	−	−	PROPN
ejpam-4751	119	3	1	1	NUM
ejpam-4751	119	4	4s	4s	NUM
ejpam-4751	119	5	−1	−1	NOUN
ejpam-4751	119	6	1	1	NUM
ejpam-4751	119	7	ka2a3	ka2a3	NOUN
ejpam-4751	119	8	−	−	NOUN
ejpam-4751	119	9	1	1	NUM
ejpam-4751	119	10	8	8	NUM
ejpam-4751	119	11	s−3	s−3	NOUN
ejpam-4751	119	12	1	1	NUM
ejpam-4751	119	13	ka3a4	ka3a4	PROPN
ejpam-4751	119	14	,	,	PUNCT
ejpam-4751	119	15	p9	p9	PROPN
ejpam-4751	119	16	=	=	SYM
ejpam-4751	119	17	5	5	NUM
ejpam-4751	119	18	8	8	NUM
ejpam-4751	119	19	s−1	s−1	PROPN
ejpam-4751	119	20	1	1	NUM
ejpam-4751	119	21	ka3a5	ka3a5	NOUN
ejpam-4751	119	22	−	−	PROPN
ejpam-4751	119	23	1	1	NUM
ejpam-4751	119	24	2s	2s	NUM
ejpam-4751	119	25	−1	−1	NOUN
ejpam-4751	119	26	1	1	NUM
ejpam-4751	119	27	ka3a4	ka3a4	NOUN
ejpam-4751	119	28	−	−	NUM
ejpam-4751	119	29	1	1	NUM
ejpam-4751	119	30	4	4	NUM
ejpam-4751	119	31	s−1	s−1	PROPN
ejpam-4751	119	32	1	1	NUM
ejpam-4751	119	33	ka2a4	ka2a4	NOUN
ejpam-4751	119	34	,	,	PUNCT
ejpam-4751	119	35	p10	p10	NOUN
ejpam-4751	119	36	=	=	SYM
ejpam-4751	119	37	29	29	NUM
ejpam-4751	119	38	48	48	NUM
ejpam-4751	119	39	s−1	s−1	PROPN
ejpam-4751	119	40	1	1	NUM
ejpam-4751	119	41	ka2	ka2	NOUN
ejpam-4751	119	42	4	4	NUM
ejpam-4751	119	43	−	−	NOUN
ejpam-4751	119	44	17	17	NUM
ejpam-4751	119	45	48	48	NUM
ejpam-4751	119	46	s−1	s−1	PROPN
ejpam-4751	119	47	1	1	NUM
ejpam-4751	119	48	ka2	ka2	NOUN
ejpam-4751	119	49	3	3	NUM
ejpam-4751	119	50	−	−	NOUN
ejpam-4751	119	51	1	1	NUM
ejpam-4751	119	52	4	4	NUM
ejpam-4751	119	53	s−1	s−1	PROPN
ejpam-4751	119	54	1	1	NUM
ejpam-4751	119	55	ka2	ka2	NOUN
ejpam-4751	119	56	5	5	NUM
ejpam-4751	119	57	,	,	PUNCT
ejpam-4751	119	58	p11	p11	NOUN
ejpam-4751	119	59	=	=	SYM
ejpam-4751	119	60	1	1	NUM
ejpam-4751	119	61	2	2	NUM
ejpam-4751	119	62	s−1	s−1	PROPN
ejpam-4751	119	63	1	1	NUM
ejpam-4751	119	64	ka3a5	ka3a5	X
ejpam-4751	119	65	,	,	PUNCT
ejpam-4751	119	66	p12	p12	NOUN
ejpam-4751	119	67	=	=	SYM
ejpam-4751	119	68	1	1	NUM
ejpam-4751	119	69	4	4	NUM
ejpam-4751	119	70	s−1	s−1	PROPN
ejpam-4751	119	71	1	1	NUM
ejpam-4751	119	72	ka4a5	ka4a5	NOUN
ejpam-4751	119	73	,	,	PUNCT
ejpam-4751	119	74	p13	p13	NOUN
ejpam-4751	119	75	=	=	NOUN
ejpam-4751	119	76	1	1	NUM
ejpam-4751	119	77	4	4	NUM
ejpam-4751	119	78	s−1	s−1	PROPN
ejpam-4751	119	79	1	1	NUM
ejpam-4751	119	80	ka2a5	ka2a5	NOUN
ejpam-4751	120	1	+	+	CCONJ
ejpam-4751	120	2	1	1	NUM
ejpam-4751	120	3	2	2	NUM
ejpam-4751	120	4	s−1	s−1	PROPN
ejpam-4751	120	5	1	1	NUM
ejpam-4751	120	6	ka3a4	ka3a4	NOUN
ejpam-4751	120	7	−	−	PROPN
ejpam-4751	120	8	1	1	NUM
ejpam-4751	120	9	4	4	NUM
ejpam-4751	120	10	s−2	s−2	PROPN
ejpam-4751	120	11	1	1	NUM
ejpam-4751	120	12	ka2a5	ka2a5	PROPN
ejpam-4751	120	13	,	,	PUNCT
ejpam-4751	120	14	p14	p14	NOUN
ejpam-4751	120	15	=	=	PUNCT
ejpam-4751	120	16	−	−	NUM
ejpam-4751	120	17	5	5	NUM
ejpam-4751	120	18	12s	12	NOUN
ejpam-4751	120	19	−1	−1	NOUN
ejpam-4751	120	20	1	1	NUM
ejpam-4751	120	21	ka3a4	ka3a4	PROPN
ejpam-4751	120	22	,	,	PUNCT
ejpam-4751	120	23	p15	p15	NOUN
ejpam-4751	120	24	=	=	SYM
ejpam-4751	120	25	−1	−1	NOUN
ejpam-4751	120	26	4	4	NUM
ejpam-4751	120	27	s−3	s−3	NOUN
ejpam-4751	120	28	1	1	NUM
ejpam-4751	120	29	ka2a3−	ka2a3−	NOUN
ejpam-4751	120	30	1	1	NUM
ejpam-4751	120	31	16	16	NUM
ejpam-4751	120	32	s−2	s−2	PROPN
ejpam-4751	120	33	1	1	NUM
ejpam-4751	120	34	ka4a5	ka4a5	PROPN
ejpam-4751	120	35	,	,	PUNCT
ejpam-4751	120	36	p16	p16	NOUN
ejpam-4751	120	37	=	=	SYM
ejpam-4751	120	38	1	1	NUM
ejpam-4751	120	39	4	4	NUM
ejpam-4751	120	40	s−3	s−3	NOUN
ejpam-4751	120	41	1	1	NUM
ejpam-4751	120	42	ka2a4−	ka2a4−	PROPN
ejpam-4751	120	43	1	1	NUM
ejpam-4751	120	44	8	8	NUM
ejpam-4751	120	45	s−2	s−2	PROPN
ejpam-4751	120	46	1	1	NUM
ejpam-4751	120	47	ka3a4	ka3a4	NOUN
ejpam-4751	120	48	+	+	NOUN
ejpam-4751	120	49	1	1	NUM
ejpam-4751	120	50	4	4	NUM
ejpam-4751	120	51	s−3	s−3	NOUN
ejpam-4751	120	52	1	1	NUM
ejpam-4751	120	53	ka4a5	ka4a5	NOUN
ejpam-4751	120	54	,	,	PUNCT
ejpam-4751	120	55	p17	p17	NOUN
ejpam-4751	120	56	=	=	SYM
ejpam-4751	120	57	1	1	NUM
ejpam-4751	120	58	4s	4s	NUM
ejpam-4751	120	59	−2	−2	NOUN
ejpam-4751	120	60	1	1	NUM
ejpam-4751	120	61	ka3a5	ka3a5	NOUN
ejpam-4751	120	62	−	−	NOUN
ejpam-4751	120	63	1	1	NUM
ejpam-4751	120	64	4	4	NUM
ejpam-4751	120	65	s−2	s−2	PROPN
ejpam-4751	120	66	1	1	NUM
ejpam-4751	120	67	ka3a4	ka3a4	PROPN
ejpam-4751	120	68	,	,	PUNCT
ejpam-4751	120	69	p18	p18	NOUN
ejpam-4751	120	70	=	=	SYM
ejpam-4751	120	71	−1	−1	NOUN
ejpam-4751	120	72	4	4	NUM
ejpam-4751	120	73	s−1	s−1	PROPN
ejpam-4751	120	74	1	1	NUM
ejpam-4751	120	75	ka4a5,k	ka4a5,k	NOUN
ejpam-4751	120	76	=	=	SYM
ejpam-4751	120	77	fd	fd	PROPN
ejpam-4751	120	78	ae	ae	PROPN
ejpam-4751	120	79	m.	m.	PROPN
ejpam-4751	120	80	m.	m.	PROPN
ejpam-4751	120	81	aziz	aziz	PROPN
ejpam-4751	120	82	/	/	SYM
ejpam-4751	120	83	eur	eur	PROPN
ejpam-4751	120	84	.	.	PUNCT
ejpam-4751	121	1	j.	j.	PROPN
ejpam-4751	121	2	pure	pure	PROPN
ejpam-4751	121	3	appl	appl	PROPN
ejpam-4751	121	4	.	.	PROPN
ejpam-4751	121	5	math	math	PROPN
ejpam-4751	121	6	,	,	PUNCT
ejpam-4751	121	7	16	16	NUM
ejpam-4751	121	8	(	(	PUNCT
ejpam-4751	121	9	2	2	NUM
ejpam-4751	121	10	)	)	PUNCT
ejpam-4751	121	11	(	(	PUNCT
ejpam-4751	121	12	2023	2023	NUM
ejpam-4751	121	13	)	)	PUNCT
ejpam-4751	121	14	,	,	PUNCT
ejpam-4751	121	15	983	983	NUM
ejpam-4751	121	16	-	-	SYM
ejpam-4751	121	17	996	996	NUM
ejpam-4751	121	18	990	990	NUM
ejpam-4751	121	19	4	4	NUM
ejpam-4751	121	20	.	.	PUNCT
ejpam-4751	122	1	stability	stability	NOUN
ejpam-4751	122	2	analysis	analysis	NOUN
ejpam-4751	122	3	in	in	ADP
ejpam-4751	122	4	the	the	DET
ejpam-4751	122	5	standard	standard	ADJ
ejpam-4751	122	6	stability	stability	NOUN
ejpam-4751	123	1	,	,	PUNCT
ejpam-4751	123	2	we	we	PRON
ejpam-4751	123	3	assume	assume	VERB
ejpam-4751	123	4	that	that	SCONJ
ejpam-4751	123	5	[	[	X
ejpam-4751	123	6	10	10	NUM
ejpam-4751	123	7	]	]	SYM
ejpam-4751	123	8	∪	∪	PROPN
ejpam-4751	123	9	(	(	PUNCT
ejpam-4751	123	10	η	η	NOUN
ejpam-4751	123	11	,	,	PUNCT
ejpam-4751	123	12	t∗	t∗	PROPN
ejpam-4751	123	13	)	)	PUNCT
ejpam-4751	123	14	=	=	SYM
ejpam-4751	123	15	∪s(η	∪s(η	PROPN
ejpam-4751	123	16	)	)	PUNCT
ejpam-4751	123	17	+	+	CCONJ
ejpam-4751	123	18	∪d(η	∪d(η	PROPN
ejpam-4751	123	19	,	,	PUNCT
ejpam-4751	123	20	t	t	PROPN
ejpam-4751	123	21	∗	∗	NOUN
ejpam-4751	123	22	)	)	PUNCT
ejpam-4751	123	23	.	.	PUNCT
ejpam-4751	124	1	(	(	PUNCT
ejpam-4751	124	2	27	27	NUM
ejpam-4751	124	3	)	)	PUNCT
ejpam-4751	124	4	θ	θ	PROPN
ejpam-4751	124	5	(	(	PUNCT
ejpam-4751	124	6	η	η	PROPN
ejpam-4751	124	7	,	,	PUNCT
ejpam-4751	124	8	t∗	t∗	PROPN
ejpam-4751	124	9	)	)	PUNCT
ejpam-4751	124	10	=	=	SYM
ejpam-4751	124	11	θs(η	θs(η	X
ejpam-4751	124	12	)	)	PUNCT
ejpam-4751	125	1	+	+	CCONJ
ejpam-4751	125	2	θd(η	θd(η	X
ejpam-4751	125	3	,	,	PUNCT
ejpam-4751	125	4	t	t	PROPN
ejpam-4751	125	5	∗	∗	NOUN
ejpam-4751	125	6	)	)	PUNCT
ejpam-4751	125	7	.	.	PUNCT
ejpam-4751	126	1	(	(	PUNCT
ejpam-4751	126	2	28	28	NUM
ejpam-4751	126	3	)	)	PUNCT
ejpam-4751	126	4	where	where	SCONJ
ejpam-4751	126	5	∪d	∪d	PRON
ejpam-4751	126	6	are	be	AUX
ejpam-4751	126	7	small	small	ADJ
ejpam-4751	126	8	perturbations	perturbation	NOUN
ejpam-4751	126	9	or	or	CCONJ
ejpam-4751	126	10	departures	departure	NOUN
ejpam-4751	126	11	from	from	ADP
ejpam-4751	126	12	equilibrium	equilibrium	NOUN
ejpam-4751	126	13	,	,	PUNCT
ejpam-4751	126	14	and	and	CCONJ
ejpam-4751	126	15	us	we	PRON
ejpam-4751	126	16	,	,	PUNCT
ejpam-4751	126	17	θs	θs	PRON
ejpam-4751	126	18	are	be	AUX
ejpam-4751	126	19	the	the	DET
ejpam-4751	126	20	velocity	velocity	NOUN
ejpam-4751	126	21	and	and	CCONJ
ejpam-4751	126	22	temperature	temperature	NOUN
ejpam-4751	126	23	in	in	ADP
ejpam-4751	126	24	steady	steady	ADJ
ejpam-4751	126	25	state	state	NOUN
ejpam-4751	126	26	distribution	distribution	NOUN
ejpam-4751	126	27	.	.	PUNCT
ejpam-4751	127	1	substitution	substitution	NOUN
ejpam-4751	127	2	of	of	ADP
ejpam-4751	127	3	the	the	DET
ejpam-4751	127	4	form	form	NOUN
ejpam-4751	127	5	(	(	PUNCT
ejpam-4751	127	6	27	27	NUM
ejpam-4751	127	7	)	)	PUNCT
ejpam-4751	127	8	,	,	PUNCT
ejpam-4751	127	9	(	(	PUNCT
ejpam-4751	127	10	28	28	NUM
ejpam-4751	127	11	)	)	PUNCT
ejpam-4751	127	12	into	into	ADP
ejpam-4751	127	13	(	(	PUNCT
ejpam-4751	127	14	9	9	NUM
ejpam-4751	127	15	)	)	PUNCT
ejpam-4751	127	16	,	,	PUNCT
ejpam-4751	127	17	(	(	PUNCT
ejpam-4751	127	18	10	10	NUM
ejpam-4751	127	19	)	)	PUNCT
ejpam-4751	127	20	,	,	PUNCT
ejpam-4751	127	21	we	we	PRON
ejpam-4751	127	22	get	get	VERB
ejpam-4751	127	23	the	the	DET
ejpam-4751	127	24	following	follow	VERB
ejpam-4751	127	25	equations	equation	NOUN
ejpam-4751	127	26	.	.	PUNCT
ejpam-4751	128	1	∂θd	∂θd	PROPN
ejpam-4751	128	2	∂t∗	∂t∗	PROPN
ejpam-4751	129	1	=	=	PUNCT
ejpam-4751	129	2	a	a	DET
ejpam-4751	129	3	∂2θd	∂2θd	NOUN
ejpam-4751	129	4	∂η2	∂η2	PROPN
ejpam-4751	129	5	+	+	CCONJ
ejpam-4751	129	6	4cθd	4cθd	NUM
ejpam-4751	130	1	+	+	CCONJ
ejpam-4751	130	2	2d	2d	NUM
ejpam-4751	130	3	∂∪	∂∪	ADP
ejpam-4751	130	4	∂η	∂η	PROPN
ejpam-4751	130	5	•	•	NUM
ejpam-4751	130	6	d∪d	d∪d	NOUN
ejpam-4751	130	7	dη	dη	NOUN
ejpam-4751	130	8	.	.	PUNCT
ejpam-4751	131	1	(	(	PUNCT
ejpam-4751	131	2	29	29	NUM
ejpam-4751	131	3	)	)	PUNCT
ejpam-4751	131	4	∂∪d	∂∪d	PROPN
ejpam-4751	131	5	∂t∗	∂t∗	NOUN
ejpam-4751	132	1	=	=	SYM
ejpam-4751	132	2	e	e	PROPN
ejpam-4751	132	3	∂2∪d	∂2∪d	NOUN
ejpam-4751	132	4	∂η2	∂η2	VERB
ejpam-4751	132	5	−	−	PROPN
ejpam-4751	132	6	fθd	fθd	NOUN
ejpam-4751	132	7	.	.	PUNCT
ejpam-4751	133	1	(	(	PUNCT
ejpam-4751	133	2	30	30	NUM
ejpam-4751	133	3	)	)	PUNCT
ejpam-4751	133	4	d∪s	d∪s	ADP
ejpam-4751	133	5	dη	dη	X
ejpam-4751	133	6	which	which	PRON
ejpam-4751	133	7	is	be	AUX
ejpam-4751	133	8	itself	itself	PRON
ejpam-4751	133	9	d∪	d∪	NOUN
ejpam-4751	134	1	dη	dη	ADP
ejpam-4751	134	2	which	which	PRON
ejpam-4751	134	3	we	we	PRON
ejpam-4751	134	4	get	get	VERB
ejpam-4751	134	5	it	it	PRON
ejpam-4751	134	6	from	from	ADP
ejpam-4751	134	7	the	the	DET
ejpam-4751	134	8	derivative	derivative	NOUN
ejpam-4751	134	9	of	of	ADP
ejpam-4751	134	10	equation	equation	NOUN
ejpam-4751	134	11	(	(	PUNCT
ejpam-4751	134	12	?	?	PUNCT
ejpam-4751	134	13	?	?	PUNCT
ejpam-4751	134	14	)	)	PUNCT
ejpam-4751	135	1	the	the	DET
ejpam-4751	135	2	solutions	solution	NOUN
ejpam-4751	135	3	of	of	ADP
ejpam-4751	135	4	the	the	DET
ejpam-4751	135	5	system	system	NOUN
ejpam-4751	135	6	θd	θd	X
ejpam-4751	135	7	(	(	PUNCT
ejpam-4751	135	8	η	η	NOUN
ejpam-4751	135	9	,	,	PUNCT
ejpam-4751	135	10	t∗	t∗	PROPN
ejpam-4751	135	11	)	)	PUNCT
ejpam-4751	135	12	=	=	SYM
ejpam-4751	135	13	c1e	c1e	PROPN
ejpam-4751	135	14	αt∗+iβη	αt∗+iβη	PROPN
ejpam-4751	135	15	.	.	PUNCT
ejpam-4751	135	16	(	(	PUNCT
ejpam-4751	135	17	31	31	NUM
ejpam-4751	135	18	)	)	PUNCT
ejpam-4751	135	19	∪d	∪d	NOUN
ejpam-4751	135	20	=	=	SYM
ejpam-4751	135	21	c2e	c2e	PROPN
ejpam-4751	135	22	αt∗+iβη	αt∗+iβη	PROPN
ejpam-4751	135	23	.	.	PUNCT
ejpam-4751	135	24	(	(	PUNCT
ejpam-4751	135	25	32	32	NUM
ejpam-4751	135	26	)	)	PUNCT
ejpam-4751	135	27	where	where	SCONJ
ejpam-4751	135	28	c1	c1	PROPN
ejpam-4751	135	29	,	,	PUNCT
ejpam-4751	135	30	c2	c2	PROPN
ejpam-4751	135	31	are	be	AUX
ejpam-4751	135	32	constant	constant	ADJ
ejpam-4751	135	33	which	which	PRON
ejpam-4751	135	34	represent	represent	VERB
ejpam-4751	135	35	the	the	DET
ejpam-4751	135	36	amplitudes	amplitude	NOUN
ejpam-4751	135	37	,	,	PUNCT
ejpam-4751	135	38	and	and	CCONJ
ejpam-4751	135	39	β	β	X
ejpam-4751	135	40	is	be	AUX
ejpam-4751	135	41	a	a	DET
ejpam-4751	135	42	dimensionless	dimensionless	NOUN
ejpam-4751	135	43	wave	wave	NOUN
ejpam-4751	135	44	number	number	NOUN
ejpam-4751	135	45	,	,	PUNCT
ejpam-4751	135	46	and	and	CCONJ
ejpam-4751	135	47	∝	∝	PROPN
ejpam-4751	135	48	is	be	AUX
ejpam-4751	135	49	complex	complex	ADJ
ejpam-4751	135	50	wave	wave	NOUN
ejpam-4751	135	51	speed	speed	NOUN
ejpam-4751	135	52	such	such	ADJ
ejpam-4751	135	53	that	that	SCONJ
ejpam-4751	135	54	α	α	NOUN
ejpam-4751	135	55	=	=	SYM
ejpam-4751	135	56	∝1	∝1	NOUN
ejpam-4751	135	57	+	+	PROPN
ejpam-4751	135	58	i	i	PROPN
ejpam-4751	135	59	∝2	∝2	NOUN
ejpam-4751	135	60	is	be	AUX
ejpam-4751	135	61	positive	positive	ADJ
ejpam-4751	135	62	or	or	CCONJ
ejpam-4751	135	63	negative	negative	ADJ
ejpam-4751	135	64	implies	imply	VERB
ejpam-4751	135	65	growth	growth	NOUN
ejpam-4751	135	66	or	or	CCONJ
ejpam-4751	135	67	decay	decay	NOUN
ejpam-4751	135	68	of	of	ADP
ejpam-4751	135	69	the	the	DET
ejpam-4751	135	70	disturbance	disturbance	NOUN
ejpam-4751	135	71	.	.	PUNCT
ejpam-4751	136	1	by	by	ADP
ejpam-4751	136	2	taking	take	VERB
ejpam-4751	136	3	the	the	DET
ejpam-4751	136	4	derivative	derivative	NOUN
ejpam-4751	136	5	of	of	ADP
ejpam-4751	136	6	relation	relation	NOUN
ejpam-4751	136	7	(	(	PUNCT
ejpam-4751	136	8	31	31	NUM
ejpam-4751	136	9	)	)	PUNCT
ejpam-4751	136	10	and	and	CCONJ
ejpam-4751	136	11	(	(	PUNCT
ejpam-4751	136	12	32	32	NUM
ejpam-4751	136	13	)	)	PUNCT
ejpam-4751	136	14	with	with	ADP
ejpam-4751	136	15	respect	respect	NOUN
ejpam-4751	136	16	to	to	ADP
ejpam-4751	136	17	η	η	PROPN
ejpam-4751	136	18	,	,	PUNCT
ejpam-4751	136	19	t∗	t∗	NOUN
ejpam-4751	136	20	and	and	CCONJ
ejpam-4751	136	21	then	then	ADV
ejpam-4751	136	22	substitute	substitute	VERB
ejpam-4751	136	23	the	the	DET
ejpam-4751	136	24	result	result	NOUN
ejpam-4751	136	25	into	into	ADP
ejpam-4751	136	26	equation	equation	NOUN
ejpam-4751	136	27	(	(	PUNCT
ejpam-4751	136	28	29	29	NUM
ejpam-4751	136	29	)	)	PUNCT
ejpam-4751	136	30	and	and	CCONJ
ejpam-4751	136	31	(	(	PUNCT
ejpam-4751	136	32	30	30	NUM
ejpam-4751	136	33	)	)	PUNCT
ejpam-4751	136	34	,	,	PUNCT
ejpam-4751	136	35	we	we	PRON
ejpam-4751	136	36	get	get	VERB
ejpam-4751	136	37	(	(	PUNCT
ejpam-4751	136	38	α+aβ2	α+aβ2	NUM
ejpam-4751	136	39	−	−	PROPN
ejpam-4751	136	40	4c	4c	NOUN
ejpam-4751	136	41	)	)	PUNCT
ejpam-4751	136	42	c1	c1	PROPN
ejpam-4751	136	43	−	−	PROPN
ejpam-4751	137	1	2idβ	2idβ	PROPN
ejpam-4751	137	2	du	du	PROPN
ejpam-4751	137	3	dη	dη	PROPN
ejpam-4751	137	4	c2	c2	PROPN
ejpam-4751	137	5	=	=	SYM
ejpam-4751	137	6	0	0	PROPN
ejpam-4751	137	7	,	,	PUNCT
ejpam-4751	137	8	f	f	PROPN
ejpam-4751	137	9	c1	c1	PROPN
ejpam-4751	137	10	+	+	CCONJ
ejpam-4751	137	11	(	(	PUNCT
ejpam-4751	137	12	α+	α+	X
ejpam-4751	137	13	eβ)c2	eβ)c2	PROPN
ejpam-4751	137	14	=	=	SYM
ejpam-4751	137	15	0	0	X
ejpam-4751	137	16	.	.	NUM
ejpam-4751	137	17	}	}	PUNCT
ejpam-4751	138	1	(	(	PUNCT
ejpam-4751	138	2	33	33	NUM
ejpam-4751	138	3	)	)	PUNCT
ejpam-4751	138	4	and	and	CCONJ
ejpam-4751	138	5	thus	thus	ADV
ejpam-4751	138	6	,	,	PUNCT
ejpam-4751	138	7	we	we	PRON
ejpam-4751	138	8	transform	transform	VERB
ejpam-4751	138	9	the	the	DET
ejpam-4751	138	10	differential	differential	ADJ
ejpam-4751	138	11	equation	equation	NOUN
ejpam-4751	138	12	to	to	ADP
ejpam-4751	138	13	an	an	DET
ejpam-4751	138	14	algebra	algebra	NOUN
ejpam-4751	138	15	equation	equation	NOUN
ejpam-4751	138	16	and	and	CCONJ
ejpam-4751	138	17	take	take	VERB
ejpam-4751	138	18	the	the	DET
ejpam-4751	138	19	determent	determent	NOUN
ejpam-4751	138	20	and	and	CCONJ
ejpam-4751	138	21	we	we	PRON
ejpam-4751	138	22	equal	equal	ADJ
ejpam-4751	138	23	to	to	ADP
ejpam-4751	138	24	zero∣∣∣∣	zero∣∣∣∣	PROPN
ejpam-4751	138	25	α+aβ2	α+aβ2	PRON
ejpam-4751	138	26	−	−	PROPN
ejpam-4751	138	27	4c	4c	NOUN
ejpam-4751	139	1	−2idβ	−2idβ	X
ejpam-4751	139	2	du	du	PROPN
ejpam-4751	140	1	dη	dη	INTJ
ejpam-4751	140	2	,	,	PUNCT
ejpam-4751	140	3	f	f	PROPN
ejpam-4751	140	4	α+	α+	PUNCT
ejpam-4751	140	5	β2	β2	NOUN
ejpam-4751	140	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4751	140	7	=	=	NOUN
ejpam-4751	140	8	0	0	PROPN
ejpam-4751	140	9	.	.	PUNCT
ejpam-4751	141	1	(	(	PUNCT
ejpam-4751	141	2	34	34	NUM
ejpam-4751	141	3	)	)	PUNCT
ejpam-4751	141	4	which	which	PRON
ejpam-4751	141	5	gives	give	VERB
ejpam-4751	141	6	α2	α2	PROPN
ejpam-4751	141	7	+	+	CCONJ
ejpam-4751	141	8	lα+m	lα+m	NUM
ejpam-4751	141	9	+	+	PROPN
ejpam-4751	141	10	ni	ni	NOUN
ejpam-4751	141	11	=	=	PROPN
ejpam-4751	141	12	0	0	PROPN
ejpam-4751	141	13	.	.	PUNCT
ejpam-4751	142	1	(	(	PUNCT
ejpam-4751	142	2	35	35	NUM
ejpam-4751	142	3	)	)	PUNCT
ejpam-4751	142	4	l	l	NOUN
ejpam-4751	142	5	=	=	PUNCT
ejpam-4751	142	6	aβ2	aβ2	NOUN
ejpam-4751	143	1	−	−	NOUN
ejpam-4751	143	2	4c	4c	NOUN
ejpam-4751	143	3	+	+	CCONJ
ejpam-4751	143	4	eβ2	eβ2	PROPN
ejpam-4751	143	5	m	m	VERB
ejpam-4751	143	6	=	=	SYM
ejpam-4751	143	7	4eβ2–4ecβ2	4eβ2–4ecβ2	NUM
ejpam-4751	143	8	m.	m.	NOUN
ejpam-4751	143	9	m.	m.	NOUN
ejpam-4751	143	10	aziz	aziz	PROPN
ejpam-4751	143	11	/	/	SYM
ejpam-4751	143	12	eur	eur	PROPN
ejpam-4751	143	13	.	.	PUNCT
ejpam-4751	144	1	j.	j.	PROPN
ejpam-4751	144	2	pure	pure	PROPN
ejpam-4751	144	3	appl	appl	PROPN
ejpam-4751	144	4	.	.	PROPN
ejpam-4751	144	5	math	math	PROPN
ejpam-4751	144	6	,	,	PUNCT
ejpam-4751	144	7	16	16	NUM
ejpam-4751	144	8	(	(	PUNCT
ejpam-4751	144	9	2	2	NUM
ejpam-4751	144	10	)	)	PUNCT
ejpam-4751	144	11	(	(	PUNCT
ejpam-4751	144	12	2023	2023	NUM
ejpam-4751	144	13	)	)	PUNCT
ejpam-4751	144	14	,	,	PUNCT
ejpam-4751	144	15	983	983	NUM
ejpam-4751	144	16	-	-	SYM
ejpam-4751	144	17	996	996	NUM
ejpam-4751	144	18	991	991	NUM
ejpam-4751	144	19	n	n	NOUN
ejpam-4751	144	20	=	=	SYM
ejpam-4751	144	21	2dβ	2dβ	ADJ
ejpam-4751	144	22	d∪	d∪	PROPN
ejpam-4751	144	23	dη	dη	NOUN
ejpam-4751	144	24	through	through	ADP
ejpam-4751	144	25	the	the	DET
ejpam-4751	144	26	solution	solution	NOUN
ejpam-4751	144	27	of	of	ADP
ejpam-4751	144	28	equation	equation	NOUN
ejpam-4751	144	29	(	(	PUNCT
ejpam-4751	144	30	35	35	NUM
ejpam-4751	144	31	)	)	PUNCT
ejpam-4751	145	1	,	,	PUNCT
ejpam-4751	145	2	we	we	PRON
ejpam-4751	145	3	get	get	VERB
ejpam-4751	145	4	the	the	DET
ejpam-4751	145	5	relation	relation	NOUN
ejpam-4751	145	6	between	between	ADP
ejpam-4751	145	7	r	r	NOUN
ejpam-4751	145	8	and	and	CCONJ
ejpam-4751	145	9	β	β	NOUN
ejpam-4751	145	10	for	for	ADP
ejpam-4751	145	11	different	different	ADJ
ejpam-4751	145	12	values	value	NOUN
ejpam-4751	145	13	of	of	ADP
ejpam-4751	145	14	gr	gr	PROPN
ejpam-4751	145	15	,	,	PUNCT
ejpam-4751	145	16	100	100	NUM
ejpam-4751	145	17	,	,	PUNCT
ejpam-4751	145	18	300	300	NUM
ejpam-4751	145	19	,	,	PUNCT
ejpam-4751	145	20	400	400	NUM
ejpam-4751	145	21	and	and	CCONJ
ejpam-4751	145	22	for	for	ADP
ejpam-4751	145	23	different	different	ADJ
ejpam-4751	145	24	locations	location	NOUN
ejpam-4751	145	25	of	of	ADP
ejpam-4751	145	26	η	η	PROPN
ejpam-4751	145	27	,	,	PUNCT
ejpam-4751	145	28	1	1	NUM
ejpam-4751	145	29	,	,	PUNCT
ejpam-4751	145	30	0.5	0.5	NUM
ejpam-4751	145	31	,	,	PUNCT
ejpam-4751	145	32	0	0	NUM
ejpam-4751	145	33	,	,	PUNCT
ejpam-4751	145	34	-0.5	-0.5	NUM
ejpam-4751	145	35	,	,	PUNCT
ejpam-4751	145	36	-1	-1	PUNCT
ejpam-4751	145	37	as	as	SCONJ
ejpam-4751	145	38	given	give	VERB
ejpam-4751	145	39	in	in	ADP
ejpam-4751	145	40	table	table	NOUN
ejpam-4751	145	41	(	(	PUNCT
ejpam-4751	145	42	1),(2),(3	1),(2),(3	X
ejpam-4751	145	43	)	)	PUNCT
ejpam-4751	145	44	it	it	PRON
ejpam-4751	145	45	was	be	AUX
ejpam-4751	145	46	found	find	VERB
ejpam-4751	145	47	that	that	SCONJ
ejpam-4751	145	48	the	the	DET
ejpam-4751	145	49	location	location	NOUN
ejpam-4751	145	50	has	have	VERB
ejpam-4751	145	51	a	a	DET
ejpam-4751	145	52	small	small	ADJ
ejpam-4751	145	53	effect	effect	NOUN
ejpam-4751	145	54	on	on	ADP
ejpam-4751	145	55	the	the	DET
ejpam-4751	145	56	stability	stability	NOUN
ejpam-4751	145	57	of	of	ADP
ejpam-4751	145	58	the	the	DET
ejpam-4751	145	59	system	system	NOUN
ejpam-4751	145	60	and	and	CCONJ
ejpam-4751	145	61	then	then	ADV
ejpam-4751	145	62	if	if	SCONJ
ejpam-4751	145	63	we	we	PRON
ejpam-4751	145	64	take	take	VERB
ejpam-4751	145	65	one	one	NUM
ejpam-4751	145	66	location	location	NOUN
ejpam-4751	145	67	such	such	ADJ
ejpam-4751	145	68	as	as	ADP
ejpam-4751	145	69	η=0	η=0	NOUN
ejpam-4751	145	70	the	the	DET
ejpam-4751	145	71	system	system	NOUN
ejpam-4751	145	72	is	be	AUX
ejpam-4751	145	73	then	then	ADV
ejpam-4751	145	74	become	become	VERB
ejpam-4751	145	75	stable	stable	ADJ
ejpam-4751	145	76	for	for	ADP
ejpam-4751	145	77	α1	α1	PROPN
ejpam-4751	145	78	<	<	X
ejpam-4751	145	79	0	0	PUNCT
ejpam-4751	145	80	and	and	CCONJ
ejpam-4751	145	81	unstable	unstable	ADJ
ejpam-4751	145	82	for	for	ADP
ejpam-4751	145	83	α1	α1	PROPN
ejpam-4751	145	84	>	>	X
ejpam-4751	145	85	0	0	X
ejpam-4751	145	86	.	.	PUNCT
ejpam-4751	146	1	the	the	PRON
ejpam-4751	146	2	stable	stable	ADJ
ejpam-4751	146	3	and	and	CCONJ
ejpam-4751	146	4	unstable	unstable	ADJ
ejpam-4751	146	5	are	be	AUX
ejpam-4751	146	6	shown	show	VERB
ejpam-4751	146	7	in	in	ADP
ejpam-4751	146	8	figures	figure	NOUN
ejpam-4751	146	9	(	(	PUNCT
ejpam-4751	146	10	1	1	NUM
ejpam-4751	146	11	)	)	PUNCT
ejpam-4751	146	12	,	,	PUNCT
ejpam-4751	146	13	(	(	PUNCT
ejpam-4751	146	14	2	2	NUM
ejpam-4751	146	15	)	)	PUNCT
ejpam-4751	146	16	,	,	PUNCT
ejpam-4751	146	17	(	(	PUNCT
ejpam-4751	146	18	3	3	NUM
ejpam-4751	146	19	)	)	PUNCT
ejpam-4751	146	20	,	,	PUNCT
ejpam-4751	146	21	(	(	PUNCT
ejpam-4751	146	22	4	4	NUM
ejpam-4751	146	23	)	)	PUNCT
ejpam-4751	146	24	from	from	ADP
ejpam-4751	146	25	table	table	NOUN
ejpam-4751	146	26	(	(	PUNCT
ejpam-4751	146	27	1	1	NUM
ejpam-4751	146	28	)	)	PUNCT
ejpam-4751	146	29	,	,	PUNCT
ejpam-4751	146	30	(	(	PUNCT
ejpam-4751	146	31	2	2	NUM
ejpam-4751	146	32	)	)	PUNCT
ejpam-4751	146	33	,	,	PUNCT
ejpam-4751	146	34	and	and	CCONJ
ejpam-4751	146	35	(	(	PUNCT
ejpam-4751	146	36	3	3	NUM
ejpam-4751	146	37	)	)	PUNCT
ejpam-4751	146	38	.	.	PUNCT
ejpam-4751	147	1	stability	stability	NOUN
ejpam-4751	147	2	curves	curve	NOUN
ejpam-4751	147	3	for	for	ADP
ejpam-4751	147	4	different	different	ADJ
ejpam-4751	147	5	values	value	NOUN
ejpam-4751	147	6	at	at	ADP
ejpam-4751	147	7	bo	bo	PROPN
ejpam-4751	147	8	=	=	ADJ
ejpam-4751	147	9	1	1	NUM
ejpam-4751	147	10	,	,	PUNCT
ejpam-4751	147	11	p	p	NOUN
ejpam-4751	147	12	r	r	NOUN
ejpam-4751	147	13	=	=	SYM
ejpam-4751	147	14	0.7	0.7	NUM
ejpam-4751	147	15	,	,	PUNCT
ejpam-4751	147	16	ec	ec	PROPN
ejpam-4751	147	17	=	=	SYM
ejpam-4751	147	18	0.1	0.1	NUM
ejpam-4751	147	19	,	,	PUNCT
ejpam-4751	147	20	w	w	NOUN
ejpam-4751	147	21	=	=	NOUN
ejpam-4751	147	22	0.15	0.15	NUM
ejpam-4751	147	23	,	,	PUNCT
ejpam-4751	147	24	f	f	PROPN
ejpam-4751	147	25	r	r	NOUN
ejpam-4751	147	26	=	=	SYM
ejpam-4751	147	27	1000	1000	NUM
ejpam-4751	147	28	,	,	PUNCT
ejpam-4751	147	29	gr	gr	NOUN
ejpam-4751	147	30	=	=	SYM
ejpam-4751	147	31	100	100	NUM
ejpam-4751	147	32	table	table	NOUN
ejpam-4751	147	33	1	1	NUM
ejpam-4751	147	34	:	:	PUNCT
ejpam-4751	147	35	values	value	NOUN
ejpam-4751	147	36	of	of	ADP
ejpam-4751	147	37	neutral	neutral	ADJ
ejpam-4751	147	38	stability	stability	NOUN
ejpam-4751	147	39	curve	curve	NOUN
ejpam-4751	147	40	at	at	ADP
ejpam-4751	147	41	bo	bo	PROPN
ejpam-4751	147	42	=	=	NOUN
ejpam-4751	147	43	1	1	NUM
ejpam-4751	147	44	,	,	PUNCT
ejpam-4751	147	45	pr=0.7	pr=0.7	ADJ
ejpam-4751	147	46	,	,	PUNCT
ejpam-4751	147	47	ec=0.1	ec=0.1	PROPN
ejpam-4751	147	48	,	,	PUNCT
ejpam-4751	147	49	w=0.15	w=0.15	PROPN
ejpam-4751	147	50	,	,	PUNCT
ejpam-4751	147	51	fr	fr	PROPN
ejpam-4751	147	52	=	=	SYM
ejpam-4751	147	53	1000	1000	NUM
ejpam-4751	147	54	,	,	PUNCT
ejpam-4751	147	55	gr=100	gr=100	NOUN
ejpam-4751	147	56	r	r	PROPN
ejpam-4751	147	57	/	/	SYM
ejpam-4751	147	58	η	η	PROPN
ejpam-4751	147	59	-1	-1	PROPN
ejpam-4751	147	60	-0.5	-0.5	X
ejpam-4751	147	61	0	0	NUM
ejpam-4751	147	62	0.5	0.5	NUM
ejpam-4751	147	63	1	1	NUM
ejpam-4751	147	64	100	100	NUM
ejpam-4751	147	65	2.05	2.05	NUM
ejpam-4751	147	66	2.06	2.06	NUM
ejpam-4751	147	67	2.06	2.06	NUM
ejpam-4751	147	68	2.06	2.06	NUM
ejpam-4751	147	69	2.06	2.06	NUM
ejpam-4751	147	70	200	200	NUM
ejpam-4751	147	71	3.08	3.08	NUM
ejpam-4751	147	72	3.08	3.08	NUM
ejpam-4751	147	73	3.09	3.09	NUM
ejpam-4751	147	74	3.08	3.08	NUM
ejpam-4751	147	75	3.10	3.10	NUM
ejpam-4751	147	76	300	300	NUM
ejpam-4751	147	77	3.64	3.64	NUM
ejpam-4751	147	78	3.64	3.64	NUM
ejpam-4751	147	79	3.64	3.64	NUM
ejpam-4751	147	80	3.67	3.67	NUM
ejpam-4751	147	81	3.67	3.67	NUM
ejpam-4751	147	82	400	400	NUM
ejpam-4751	147	83	4.08	4.08	NUM
ejpam-4751	147	84	4.12	4.12	NUM
ejpam-4751	147	85	4.08	4.08	NUM
ejpam-4751	147	86	4.12	4.12	NUM
ejpam-4751	147	87	4.08	4.08	NUM
ejpam-4751	147	88	500	500	NUM
ejpam-4751	147	89	6.10	6.10	NUM
ejpam-4751	147	90	6.11	6.11	NUM
ejpam-4751	147	91	6.09	6.09	NUM
ejpam-4751	147	92	6.08	6.08	NUM
ejpam-4751	147	93	6.07	6.07	NUM
ejpam-4751	147	94	600	600	NUM
ejpam-4751	147	95	5.74	5.74	NUM
ejpam-4751	147	96	5.68	5.68	NUM
ejpam-4751	147	97	5.72	5.72	NUM
ejpam-4751	147	98	5.68	5.68	NUM
ejpam-4751	147	99	5.74	5.74	NUM
ejpam-4751	147	100	700	700	NUM
ejpam-4751	147	101	5.41	5.41	NUM
ejpam-4751	147	102	5.43	5.43	NUM
ejpam-4751	147	103	5.42	5.42	NUM
ejpam-4751	147	104	5.41	5.41	NUM
ejpam-4751	147	105	5.42	5.42	NUM
ejpam-4751	147	106	800	800	NUM
ejpam-4751	147	107	6.11	6.11	NUM
ejpam-4751	147	108	6.15	6.15	NUM
ejpam-4751	147	109	6.15	6.15	NUM
ejpam-4751	147	110	6.15	6.15	NUM
ejpam-4751	147	111	6.11	6.11	NUM
ejpam-4751	147	112	900	900	NUM
ejpam-4751	147	113	9.18	9.18	NUM
ejpam-4751	147	114	9.18	9.18	NUM
ejpam-4751	147	115	9.18	9.18	NUM
ejpam-4751	147	116	9.18	9.18	NUM
ejpam-4751	147	117	9.13	9.13	NUM
ejpam-4751	147	118	1000	1000	NUM
ejpam-4751	147	119	8.94	8.94	NUM
ejpam-4751	147	120	8.94	8.94	NUM
ejpam-4751	147	121	9.01	9.01	NUM
ejpam-4751	147	122	8.94	8.94	NUM
ejpam-4751	147	123	8.94	8.94	NUM
ejpam-4751	147	124	m.	m.	NOUN
ejpam-4751	147	125	m.	m.	NOUN
ejpam-4751	147	126	aziz	aziz	PROPN
ejpam-4751	147	127	/	/	SYM
ejpam-4751	147	128	eur	eur	PROPN
ejpam-4751	147	129	.	.	PUNCT
ejpam-4751	148	1	j.	j.	PROPN
ejpam-4751	148	2	pure	pure	PROPN
ejpam-4751	148	3	appl	appl	PROPN
ejpam-4751	148	4	.	.	PROPN
ejpam-4751	148	5	math	math	PROPN
ejpam-4751	148	6	,	,	PUNCT
ejpam-4751	148	7	16	16	NUM
ejpam-4751	148	8	(	(	PUNCT
ejpam-4751	148	9	2	2	NUM
ejpam-4751	148	10	)	)	PUNCT
ejpam-4751	148	11	(	(	PUNCT
ejpam-4751	148	12	2023	2023	NUM
ejpam-4751	148	13	)	)	PUNCT
ejpam-4751	148	14	,	,	PUNCT
ejpam-4751	148	15	983	983	NUM
ejpam-4751	148	16	-	-	SYM
ejpam-4751	148	17	996	996	NUM
ejpam-4751	148	18	992	992	NUM
ejpam-4751	148	19	figure	figure	NOUN
ejpam-4751	148	20	1	1	NUM
ejpam-4751	148	21	:	:	PUNCT
ejpam-4751	148	22	neutral	neutral	ADJ
ejpam-4751	148	23	stability	stability	NOUN
ejpam-4751	148	24	curve	curve	NOUN
ejpam-4751	148	25	for	for	ADP
ejpam-4751	148	26	bo	bo	PROPN
ejpam-4751	148	27	=	=	SYM
ejpam-4751	148	28	1	1	NUM
ejpam-4751	148	29	,	,	PUNCT
ejpam-4751	148	30	pr	pr	NOUN
ejpam-4751	148	31	=	=	NOUN
ejpam-4751	148	32	0.7	0.7	NUM
ejpam-4751	148	33	,	,	PUNCT
ejpam-4751	148	34	ec	ec	PROPN
ejpam-4751	148	35	=	=	SYM
ejpam-4751	148	36	0.1	0.1	NUM
ejpam-4751	148	37	,	,	PUNCT
ejpam-4751	148	38	w	w	NOUN
ejpam-4751	148	39	=	=	NOUN
ejpam-4751	148	40	0.15	0.15	NUM
ejpam-4751	148	41	,	,	PUNCT
ejpam-4751	148	42	fr	fr	NOUN
ejpam-4751	148	43	=	=	SYM
ejpam-4751	148	44	1000	1000	NUM
ejpam-4751	148	45	,	,	PUNCT
ejpam-4751	148	46	gr	gr	NOUN
ejpam-4751	148	47	=	=	SYM
ejpam-4751	148	48	100	100	NUM
ejpam-4751	148	49	table	table	NOUN
ejpam-4751	148	50	2	2	NUM
ejpam-4751	148	51	:	:	PUNCT
ejpam-4751	148	52	values	value	NOUN
ejpam-4751	148	53	of	of	ADP
ejpam-4751	148	54	neutral	neutral	ADJ
ejpam-4751	148	55	stability	stability	NOUN
ejpam-4751	148	56	curve	curve	NOUN
ejpam-4751	148	57	at	at	ADP
ejpam-4751	148	58	bo	bo	PROPN
ejpam-4751	148	59	=	=	NOUN
ejpam-4751	148	60	1	1	NUM
ejpam-4751	148	61	,	,	PUNCT
ejpam-4751	148	62	pr=0.7	pr=0.7	ADJ
ejpam-4751	148	63	,	,	PUNCT
ejpam-4751	148	64	ec=0.1	ec=0.1	PROPN
ejpam-4751	148	65	,	,	PUNCT
ejpam-4751	148	66	w=0.15	w=0.15	PROPN
ejpam-4751	148	67	,	,	PUNCT
ejpam-4751	148	68	fr	fr	PROPN
ejpam-4751	148	69	=	=	NOUN
ejpam-4751	148	70	1000	1000	NUM
ejpam-4751	148	71	,	,	PUNCT
ejpam-4751	148	72	gr=300	gr=300	PROPN
ejpam-4751	148	73	r	r	PROPN
ejpam-4751	148	74	/	/	SYM
ejpam-4751	148	75	η	η	PROPN
ejpam-4751	148	76	-1	-1	PROPN
ejpam-4751	148	77	-0.5	-0.5	X
ejpam-4751	148	78	0	0	NUM
ejpam-4751	148	79	0.5	0.5	NUM
ejpam-4751	148	80	1	1	NUM
ejpam-4751	148	81	100	100	NUM
ejpam-4751	148	82	2.31	2.31	NUM
ejpam-4751	148	83	2.28	2.28	NUM
ejpam-4751	148	84	2.13	2.13	NUM
ejpam-4751	148	85	2.46	2.46	NUM
ejpam-4751	148	86	2.48	2.48	NUM
ejpam-4751	148	87	200	200	NUM
ejpam-4751	148	88	2.92	2.92	NUM
ejpam-4751	148	89	2.93	2.93	NUM
ejpam-4751	148	90	2.92	2.92	NUM
ejpam-4751	148	91	2.94	2.94	NUM
ejpam-4751	148	92	2.94	2.94	NUM
ejpam-4751	148	93	300	300	NUM
ejpam-4751	148	94	3.55	3.55	NUM
ejpam-4751	148	95	3.55	3.55	NUM
ejpam-4751	148	96	3.5	3.5	NUM
ejpam-4751	148	97	3.57	3.57	NUM
ejpam-4751	148	98	3.57	3.57	NUM
ejpam-4751	148	99	400	400	NUM
ejpam-4751	148	100	4.11	4.11	NUM
ejpam-4751	148	101	4.10	4.10	NUM
ejpam-4751	148	102	4.12	4.12	NUM
ejpam-4751	148	103	4.11	4.11	NUM
ejpam-4751	148	104	4.10	4.10	NUM
ejpam-4751	148	105	500	500	NUM
ejpam-4751	148	106	5.14	5.14	NUM
ejpam-4751	148	107	5.17	5.17	NUM
ejpam-4751	148	108	5.13	5.13	NUM
ejpam-4751	148	109	5.14	5.14	NUM
ejpam-4751	148	110	5.13	5.13	NUM
ejpam-4751	148	111	600	600	NUM
ejpam-4751	148	112	5.19	5.19	NUM
ejpam-4751	148	113	5.19	5.19	NUM
ejpam-4751	148	114	5.20	5.20	NUM
ejpam-4751	148	115	5.19	5.19	NUM
ejpam-4751	148	116	5.19	5.19	NUM
ejpam-4751	148	117	700	700	NUM
ejpam-4751	148	118	5.44	5.44	NUM
ejpam-4751	148	119	5.41	5.41	NUM
ejpam-4751	148	120	5.44	5.44	NUM
ejpam-4751	148	121	5.41	5.41	NUM
ejpam-4751	148	122	5.44	5.44	NUM
ejpam-4751	148	123	800	800	NUM
ejpam-4751	148	124	5.86	5.86	NUM
ejpam-4751	148	125	5.86	5.86	NUM
ejpam-4751	148	126	5.86	5.86	NUM
ejpam-4751	148	127	5.86	5.86	NUM
ejpam-4751	148	128	5.86	5.86	NUM
ejpam-4751	148	129	900	900	NUM
ejpam-4751	148	130	7.44	7.44	NUM
ejpam-4751	148	131	7.43	7.43	NUM
ejpam-4751	148	132	7.47	7.47	NUM
ejpam-4751	148	133	7.44	7.44	NUM
ejpam-4751	148	134	7.44	7.44	NUM
ejpam-4751	148	135	1000	1000	NUM
ejpam-4751	148	136	7.48	7.48	NUM
ejpam-4751	148	137	7.48	7.48	NUM
ejpam-4751	148	138	7.45	7.45	NUM
ejpam-4751	148	139	7.48	7.48	NUM
ejpam-4751	148	140	7.48	7.48	NUM
ejpam-4751	148	141	m.	m.	NOUN
ejpam-4751	148	142	m.	m.	NOUN
ejpam-4751	148	143	aziz	aziz	PROPN
ejpam-4751	148	144	/	/	SYM
ejpam-4751	148	145	eur	eur	PROPN
ejpam-4751	148	146	.	.	PUNCT
ejpam-4751	149	1	j.	j.	PROPN
ejpam-4751	149	2	pure	pure	PROPN
ejpam-4751	149	3	appl	appl	PROPN
ejpam-4751	149	4	.	.	PROPN
ejpam-4751	149	5	math	math	PROPN
ejpam-4751	149	6	,	,	PUNCT
ejpam-4751	149	7	16	16	NUM
ejpam-4751	149	8	(	(	PUNCT
ejpam-4751	149	9	2	2	NUM
ejpam-4751	149	10	)	)	PUNCT
ejpam-4751	149	11	(	(	PUNCT
ejpam-4751	149	12	2023	2023	NUM
ejpam-4751	149	13	)	)	PUNCT
ejpam-4751	149	14	,	,	PUNCT
ejpam-4751	149	15	983	983	NUM
ejpam-4751	149	16	-	-	SYM
ejpam-4751	149	17	996	996	NUM
ejpam-4751	149	18	993	993	NUM
ejpam-4751	149	19	figure	figure	NOUN
ejpam-4751	149	20	2	2	NUM
ejpam-4751	149	21	:	:	PUNCT
ejpam-4751	149	22	neutral	neutral	ADJ
ejpam-4751	149	23	stability	stability	NOUN
ejpam-4751	149	24	curve	curve	NOUN
ejpam-4751	149	25	at	at	ADP
ejpam-4751	149	26	bo	bo	PROPN
ejpam-4751	149	27	=	=	NOUN
ejpam-4751	149	28	1	1	NUM
ejpam-4751	149	29	,	,	PUNCT
ejpam-4751	149	30	pr=0.7	pr=0.7	ADJ
ejpam-4751	149	31	,	,	PUNCT
ejpam-4751	149	32	ec=0.1	ec=0.1	PROPN
ejpam-4751	149	33	,	,	PUNCT
ejpam-4751	149	34	w=0.15	w=0.15	PROPN
ejpam-4751	149	35	,	,	PUNCT
ejpam-4751	149	36	fr	fr	PROPN
ejpam-4751	149	37	=	=	NOUN
ejpam-4751	149	38	1000	1000	NUM
ejpam-4751	149	39	,	,	PUNCT
ejpam-4751	149	40	gr=300	gr=300	PROPN
ejpam-4751	149	41	table	table	NOUN
ejpam-4751	149	42	3	3	NUM
ejpam-4751	149	43	:	:	PUNCT
ejpam-4751	149	44	values	value	NOUN
ejpam-4751	149	45	of	of	ADP
ejpam-4751	149	46	neutral	neutral	ADJ
ejpam-4751	149	47	stability	stability	NOUN
ejpam-4751	149	48	curve	curve	NOUN
ejpam-4751	149	49	at	at	ADP
ejpam-4751	149	50	bo	bo	PROPN
ejpam-4751	149	51	=	=	NOUN
ejpam-4751	149	52	1	1	NUM
ejpam-4751	149	53	,	,	PUNCT
ejpam-4751	149	54	pr=0.7	pr=0.7	ADJ
ejpam-4751	149	55	,	,	PUNCT
ejpam-4751	149	56	ec=0.1	ec=0.1	PROPN
ejpam-4751	149	57	,	,	PUNCT
ejpam-4751	149	58	w=0.15	w=0.15	PROPN
ejpam-4751	149	59	,	,	PUNCT
ejpam-4751	149	60	fr	fr	PROPN
ejpam-4751	149	61	=	=	NOUN
ejpam-4751	149	62	1000	1000	NUM
ejpam-4751	149	63	,	,	PUNCT
ejpam-4751	149	64	gr=400	gr=400	NOUN
ejpam-4751	149	65	r	r	PROPN
ejpam-4751	149	66	/	/	SYM
ejpam-4751	149	67	η	η	PROPN
ejpam-4751	149	68	-1	-1	PROPN
ejpam-4751	149	69	-0.5	-0.5	X
ejpam-4751	149	70	0	0	NUM
ejpam-4751	149	71	0.5	0.5	NUM
ejpam-4751	149	72	1	1	NUM
ejpam-4751	149	73	100	100	NUM
ejpam-4751	149	74	2.23	2.23	NUM
ejpam-4751	149	75	2.21	2.21	NUM
ejpam-4751	149	76	2.19	2.19	NUM
ejpam-4751	149	77	2.22	2.22	NUM
ejpam-4751	149	78	2.20	2.20	NUM
ejpam-4751	149	79	200	200	NUM
ejpam-4751	149	80	2.91	2.91	NUM
ejpam-4751	149	81	2.91	2.91	NUM
ejpam-4751	149	82	2.90	2.90	NUM
ejpam-4751	149	83	2.95	2.95	NUM
ejpam-4751	149	84	2.98	2.98	NUM
ejpam-4751	149	85	300	300	NUM
ejpam-4751	149	86	3.57	3.57	NUM
ejpam-4751	149	87	3.57	3.57	NUM
ejpam-4751	149	88	3.60	3.60	NUM
ejpam-4751	149	89	3.55	3.55	NUM
ejpam-4751	149	90	3.56	3.56	NUM
ejpam-4751	149	91	400	400	NUM
ejpam-4751	149	92	4.12	4.12	NUM
ejpam-4751	149	93	4.08	4.08	NUM
ejpam-4751	149	94	4.09	4.09	NUM
ejpam-4751	149	95	4.10	4.10	NUM
ejpam-4751	149	96	4.13	4.13	NUM
ejpam-4751	149	97	500	500	NUM
ejpam-4751	149	98	5.00	5.00	NUM
ejpam-4751	149	99	4.98	4.98	NUM
ejpam-4751	149	100	5.02	5.02	NUM
ejpam-4751	149	101	4.98	4.98	NUM
ejpam-4751	149	102	5.00	5.00	NUM
ejpam-4751	149	103	600	600	NUM
ejpam-4751	149	104	5.12	5.12	NUM
ejpam-4751	149	105	5.10	5.10	NUM
ejpam-4751	149	106	5.15	5.15	NUM
ejpam-4751	149	107	5.10	5.10	NUM
ejpam-4751	149	108	5.13	5.13	NUM
ejpam-4751	149	109	700	700	NUM
ejpam-4751	149	110	5.41	5.41	NUM
ejpam-4751	149	111	5.40	5.40	NUM
ejpam-4751	149	112	5.45	5.45	NUM
ejpam-4751	149	113	5.40	5.40	NUM
ejpam-4751	149	114	5.44	5.44	NUM
ejpam-4751	149	115	800	800	NUM
ejpam-4751	149	116	5.82	5.82	NUM
ejpam-4751	149	117	5.85	5.85	NUM
ejpam-4751	149	118	5.82	5.82	NUM
ejpam-4751	149	119	5.82	5.82	NUM
ejpam-4751	149	120	5.85	5.85	NUM
ejpam-4751	149	121	900	900	NUM
ejpam-4751	149	122	7.14	7.14	NUM
ejpam-4751	149	123	7.14	7.14	NUM
ejpam-4751	149	124	7.14	7.14	NUM
ejpam-4751	149	125	7.14	7.14	NUM
ejpam-4751	149	126	7.14	7.14	NUM
ejpam-4751	149	127	1000	1000	NUM
ejpam-4751	149	128	7.23	7.23	NUM
ejpam-4751	149	129	7.17	7.17	NUM
ejpam-4751	149	130	7.22	7.22	NUM
ejpam-4751	149	131	7.23	7.23	NUM
ejpam-4751	149	132	7.20	7.20	NUM
ejpam-4751	149	133	m.	m.	NOUN
ejpam-4751	149	134	m.	m.	NOUN
ejpam-4751	149	135	aziz	aziz	PROPN
ejpam-4751	149	136	/	/	SYM
ejpam-4751	149	137	eur	eur	PROPN
ejpam-4751	149	138	.	.	PUNCT
ejpam-4751	150	1	j.	j.	PROPN
ejpam-4751	150	2	pure	pure	PROPN
ejpam-4751	150	3	appl	appl	PROPN
ejpam-4751	150	4	.	.	PROPN
ejpam-4751	150	5	math	math	PROPN
ejpam-4751	150	6	,	,	PUNCT
ejpam-4751	150	7	16	16	NUM
ejpam-4751	150	8	(	(	PUNCT
ejpam-4751	150	9	2	2	NUM
ejpam-4751	150	10	)	)	PUNCT
ejpam-4751	150	11	(	(	PUNCT
ejpam-4751	150	12	2023	2023	NUM
ejpam-4751	150	13	)	)	PUNCT
ejpam-4751	150	14	,	,	PUNCT
ejpam-4751	150	15	983	983	NUM
ejpam-4751	150	16	-	-	SYM
ejpam-4751	150	17	996	996	NUM
ejpam-4751	150	18	994	994	NUM
ejpam-4751	150	19	figure	figure	NOUN
ejpam-4751	150	20	3	3	NUM
ejpam-4751	150	21	:	:	PUNCT
ejpam-4751	150	22	neutral	neutral	ADJ
ejpam-4751	150	23	stability	stability	NOUN
ejpam-4751	150	24	curve	curve	NOUN
ejpam-4751	150	25	at	at	ADP
ejpam-4751	150	26	bo	bo	PROPN
ejpam-4751	150	27	=	=	NOUN
ejpam-4751	150	28	1	1	NUM
ejpam-4751	150	29	,	,	PUNCT
ejpam-4751	150	30	pr=0.7	pr=0.7	ADJ
ejpam-4751	150	31	,	,	PUNCT
ejpam-4751	150	32	ec=0.1	ec=0.1	PROPN
ejpam-4751	150	33	,	,	PUNCT
ejpam-4751	150	34	w=0.15	w=0.15	PROPN
ejpam-4751	150	35	,	,	PUNCT
ejpam-4751	150	36	fr	fr	PROPN
ejpam-4751	150	37	=	=	SYM
ejpam-4751	150	38	1000	1000	NUM
ejpam-4751	150	39	,	,	PUNCT
ejpam-4751	150	40	gr=400	gr=400	NOUN
ejpam-4751	150	41	figure	figure	NOUN
ejpam-4751	150	42	4	4	NUM
ejpam-4751	150	43	:	:	PUNCT
ejpam-4751	150	44	stability	stability	NOUN
ejpam-4751	150	45	curves	curve	NOUN
ejpam-4751	150	46	for	for	ADP
ejpam-4751	150	47	different	different	ADJ
ejpam-4751	150	48	values	value	NOUN
ejpam-4751	150	49	of	of	ADP
ejpam-4751	150	50	gershoff	gershoff	NOUN
ejpam-4751	150	51	number	number	NOUN
ejpam-4751	150	52	at	at	ADP
ejpam-4751	150	53	b0=1	b0=1	PROPN
ejpam-4751	150	54	,	,	PUNCT
ejpam-4751	150	55	pr=0.7	pr=0.7	NOUN
ejpam-4751	150	56	,	,	PUNCT
ejpam-4751	150	57	ec=0.1	ec=0.1	PROPN
ejpam-4751	150	58	,	,	PUNCT
ejpam-4751	150	59	w=0.15,fr=1000	w=0.15,fr=1000	VERB
ejpam-4751	150	60	5	5	NUM
ejpam-4751	150	61	.	.	X
ejpam-4751	150	62	conclusion	conclusion	VERB
ejpam-4751	150	63	the	the	DET
ejpam-4751	150	64	stability	stability	NOUN
ejpam-4751	150	65	of	of	ADP
ejpam-4751	150	66	the	the	DET
ejpam-4751	150	67	mathematical	mathematical	ADJ
ejpam-4751	150	68	model	model	NOUN
ejpam-4751	150	69	of	of	ADP
ejpam-4751	150	70	disturbed	disturbed	ADJ
ejpam-4751	150	71	fluid	fluid	ADJ
ejpam-4751	150	72	flow	flow	NOUN
ejpam-4751	150	73	between	between	ADP
ejpam-4751	150	74	two	two	NUM
ejpam-4751	150	75	parallel	parallel	ADJ
ejpam-4751	150	76	plates	plate	NOUN
ejpam-4751	150	77	has	have	AUX
ejpam-4751	150	78	been	be	AUX
ejpam-4751	150	79	investigated	investigate	VERB
ejpam-4751	150	80	.	.	PUNCT
ejpam-4751	151	1	analysis	analysis	NOUN
ejpam-4751	151	2	of	of	ADP
ejpam-4751	151	3	the	the	DET
ejpam-4751	151	4	results	result	NOUN
ejpam-4751	151	5	showed	show	VERB
ejpam-4751	151	6	the	the	DET
ejpam-4751	151	7	effect	effect	NOUN
ejpam-4751	151	8	of	of	ADP
ejpam-4751	151	9	buoyancy	buoyancy	ADJ
ejpam-4751	151	10	force	force	NOUN
ejpam-4751	151	11	on	on	ADP
ejpam-4751	151	12	heat	heat	NOUN
ejpam-4751	151	13	distribution	distribution	NOUN
ejpam-4751	151	14	and	and	CCONJ
ejpam-4751	151	15	velocity	velocity	NOUN
ejpam-4751	151	16	,	,	PUNCT
ejpam-4751	151	17	and	and	CCONJ
ejpam-4751	151	18	it	it	PRON
ejpam-4751	151	19	turns	turn	VERB
ejpam-4751	151	20	out	out	ADP
ejpam-4751	151	21	that	that	SCONJ
ejpam-4751	151	22	when	when	SCONJ
ejpam-4751	151	23	the	the	DET
ejpam-4751	151	24	gershoff	gershoff	NOUN
ejpam-4751	151	25	number	number	NOUN
ejpam-4751	151	26	is	be	AUX
ejpam-4751	151	27	increased	increase	VERB
ejpam-4751	151	28	,	,	PUNCT
ejpam-4751	151	29	the	the	DET
ejpam-4751	151	30	speed	speed	NOUN
ejpam-4751	151	31	decreases	decrease	VERB
ejpam-4751	151	32	.	.	PUNCT
ejpam-4751	152	1	references	reference	NOUN
ejpam-4751	152	2	995	995	NUM
ejpam-4751	152	3	in	in	ADP
ejpam-4751	152	4	the	the	DET
ejpam-4751	152	5	figures	figure	NOUN
ejpam-4751	152	6	(	(	PUNCT
ejpam-4751	152	7	1	1	NUM
ejpam-4751	152	8	)	)	PUNCT
ejpam-4751	152	9	,	,	PUNCT
ejpam-4751	152	10	(	(	PUNCT
ejpam-4751	152	11	2	2	NUM
ejpam-4751	152	12	)	)	PUNCT
ejpam-4751	152	13	,	,	PUNCT
ejpam-4751	152	14	(	(	PUNCT
ejpam-4751	152	15	3	3	NUM
ejpam-4751	152	16	)	)	PUNCT
ejpam-4751	152	17	,	,	PUNCT
ejpam-4751	152	18	and	and	CCONJ
ejpam-4751	152	19	(	(	PUNCT
ejpam-4751	152	20	4	4	NUM
ejpam-4751	152	21	)	)	PUNCT
ejpam-4751	152	22	,	,	PUNCT
ejpam-4751	152	23	the	the	DET
ejpam-4751	152	24	boundaries	boundary	NOUN
ejpam-4751	152	25	between	between	ADP
ejpam-4751	152	26	stable	stable	ADJ
ejpam-4751	152	27	and	and	CCONJ
ejpam-4751	152	28	unstable	unstable	ADJ
ejpam-4751	152	29	states	state	NOUN
ejpam-4751	152	30	were	be	AUX
ejpam-4751	152	31	examined	examine	VERB
ejpam-4751	152	32	and	and	CCONJ
ejpam-4751	152	33	found	find	VERB
ejpam-4751	152	34	for	for	ADP
ejpam-4751	152	35	a	a	DET
ejpam-4751	152	36	perturbed	perturb	VERB
ejpam-4751	152	37	system	system	NOUN
ejpam-4751	152	38	and	and	CCONJ
ejpam-4751	152	39	for	for	ADP
ejpam-4751	152	40	different	different	ADJ
ejpam-4751	152	41	values	value	NOUN
ejpam-4751	152	42	of	of	ADP
ejpam-4751	152	43	the	the	DET
ejpam-4751	152	44	gershoff	gershoff	NOUN
ejpam-4751	152	45	numbers	number	NOUN
ejpam-4751	152	46	through	through	ADP
ejpam-4751	152	47	the	the	DET
ejpam-4751	152	48	neutral	neutral	ADJ
ejpam-4751	152	49	stability	stability	NOUN
ejpam-4751	152	50	curve	curve	NOUN
ejpam-4751	152	51	.	.	PUNCT
ejpam-4751	153	1	it	it	PRON
ejpam-4751	153	2	has	have	AUX
ejpam-4751	153	3	been	be	AUX
ejpam-4751	153	4	shown	show	VERB
ejpam-4751	153	5	through	through	ADP
ejpam-4751	153	6	this	this	PRON
ejpam-4751	153	7	,	,	PUNCT
ejpam-4751	153	8	that	that	SCONJ
ejpam-4751	153	9	the	the	DET
ejpam-4751	153	10	stability	stability	NOUN
ejpam-4751	153	11	of	of	ADP
ejpam-4751	153	12	the	the	DET
ejpam-4751	153	13	model	model	NOUN
ejpam-4751	153	14	increases	increase	VERB
ejpam-4751	153	15	with	with	ADP
ejpam-4751	153	16	the	the	DET
ejpam-4751	153	17	increase	increase	NOUN
ejpam-4751	153	18	in	in	ADP
ejpam-4751	153	19	the	the	DET
ejpam-4751	153	20	gershoff	gershoff	NOUN
ejpam-4751	153	21	numbers	number	NOUN
ejpam-4751	153	22	(	(	PUNCT
ejpam-4751	153	23	gr	gr	NOUN
ejpam-4751	153	24	)	)	PUNCT
ejpam-4751	153	25	,	,	PUNCT
ejpam-4751	153	26	where	where	SCONJ
ejpam-4751	153	27	the	the	DET
ejpam-4751	153	28	gravitational	gravitational	ADJ
ejpam-4751	153	29	forces	force	NOUN
ejpam-4751	153	30	resist	resist	VERB
ejpam-4751	153	31	the	the	DET
ejpam-4751	153	32	viscous	viscous	ADJ
ejpam-4751	153	33	forces	force	NOUN
ejpam-4751	153	34	towards	towards	ADP
ejpam-4751	153	35	stability	stability	NOUN
ejpam-4751	153	36	.	.	PUNCT
ejpam-4751	154	1	the	the	DET
ejpam-4751	154	2	results	result	NOUN
ejpam-4751	154	3	indicated	indicate	VERB
ejpam-4751	154	4	that	that	SCONJ
ejpam-4751	154	5	the	the	DET
ejpam-4751	154	6	effects	effect	NOUN
ejpam-4751	154	7	of	of	ADP
ejpam-4751	154	8	buoyancy	buoyancy	NOUN
ejpam-4751	154	9	forces	force	NOUN
ejpam-4751	154	10	have	have	VERB
ejpam-4751	154	11	significant	significant	ADJ
ejpam-4751	154	12	contribution	contribution	NOUN
ejpam-4751	154	13	on	on	ADP
ejpam-4751	154	14	the	the	DET
ejpam-4751	154	15	basic	basic	ADJ
ejpam-4751	154	16	variable	variable	NOUN
ejpam-4751	154	17	of	of	ADP
ejpam-4751	154	18	the	the	DET
ejpam-4751	154	19	model	model	NOUN
ejpam-4751	154	20	.	.	PUNCT
ejpam-4751	155	1	references	reference	NOUN
ejpam-4751	155	2	[	[	X
ejpam-4751	155	3	1	1	NUM
ejpam-4751	155	4	]	]	PUNCT
ejpam-4751	155	5	h	h	NOUN
ejpam-4751	155	6	i	i	NOUN
ejpam-4751	155	7	abu	abu	PROPN
ejpam-4751	155	8	-	-	PUNCT
ejpam-4751	155	9	mulaweh	mulaweh	PROPN
ejpam-4751	155	10	,	,	PUNCT
ejpam-4751	155	11	b	b	PROPN
ejpam-4751	155	12	f	f	PROPN
ejpam-4751	155	13	armaly	armaly	PROPN
ejpam-4751	155	14	,	,	PUNCT
ejpam-4751	155	15	and	and	CCONJ
ejpam-4751	155	16	t	t	PROPN
ejpam-4751	155	17	s	s	PART
ejpam-4751	155	18	chen	chen	PROPN
ejpam-4751	155	19	.	.	PUNCT
ejpam-4751	156	1	measurements	measurement	NOUN
ejpam-4751	156	2	in	in	ADP
ejpam-4751	156	3	buoyancyopposing	buoyancyoppose	VERB
ejpam-4751	156	4	laminar	laminar	ADJ
ejpam-4751	156	5	flow	flow	NOUN
ejpam-4751	156	6	over	over	ADP
ejpam-4751	156	7	a	a	DET
ejpam-4751	156	8	vertical	vertical	ADJ
ejpam-4751	156	9	backward	backward	ADV
ejpam-4751	156	10	-	-	PUNCT
ejpam-4751	156	11	facing	face	VERB
ejpam-4751	156	12	step	step	NOUN
ejpam-4751	156	13	.	.	PUNCT
ejpam-4751	157	1	journal	journal	NOUN
ejpam-4751	157	2	of	of	ADP
ejpam-4751	157	3	heat	heat	NOUN
ejpam-4751	157	4	transfer	transfer	NOUN
ejpam-4751	157	5	,	,	PUNCT
ejpam-4751	157	6	116(1):247–250	116(1):247–250	NUM
ejpam-4751	157	7	,	,	PUNCT
ejpam-4751	157	8	1994	1994	NUM
ejpam-4751	157	9	.	.	PUNCT
ejpam-4751	158	1	[	[	X
ejpam-4751	158	2	2	2	X
ejpam-4751	158	3	]	]	X
ejpam-4751	158	4	maysoon	maysoon	NOUN
ejpam-4751	158	5	m	m	PROPN
ejpam-4751	158	6	aziz	aziz	PROPN
ejpam-4751	158	7	.	.	PUNCT
ejpam-4751	159	1	applications	application	NOUN
ejpam-4751	159	2	of	of	ADP
ejpam-4751	159	3	mathematics	mathematic	NOUN
ejpam-4751	159	4	:	:	PUNCT
ejpam-4751	159	5	dispersion	dispersion	NOUN
ejpam-4751	159	6	of	of	ADP
ejpam-4751	159	7	soluble	soluble	ADJ
ejpam-4751	159	8	matter	matter	NOUN
ejpam-4751	159	9	in	in	ADP
ejpam-4751	159	10	solvent	solvent	NOUN
ejpam-4751	159	11	flowing	flow	VERB
ejpam-4751	159	12	through	through	ADP
ejpam-4751	159	13	a	a	DET
ejpam-4751	159	14	tube	tube	NOUN
ejpam-4751	159	15	under	under	ADP
ejpam-4751	159	16	a	a	DET
ejpam-4751	159	17	steady	steady	ADJ
ejpam-4751	159	18	pressure	pressure	NOUN
ejpam-4751	159	19	gradient	gradient	NOUN
ejpam-4751	159	20	.	.	PUNCT
ejpam-4751	160	1	periodicals	periodical	NOUN
ejpam-4751	160	2	of	of	ADP
ejpam-4751	160	3	engineering	engineering	NOUN
ejpam-4751	160	4	and	and	CCONJ
ejpam-4751	160	5	natural	natural	ADJ
ejpam-4751	160	6	sciences	science	NOUN
ejpam-4751	160	7	(	(	PUNCT
ejpam-4751	160	8	pen	pen	NOUN
ejpam-4751	160	9	)	)	PUNCT
ejpam-4751	160	10	,	,	PUNCT
ejpam-4751	160	11	9(3):302–308	9(3):302–308	PROPN
ejpam-4751	160	12	,	,	PUNCT
ejpam-4751	160	13	2021	2021	NUM
ejpam-4751	160	14	.	.	PUNCT
ejpam-4751	161	1	[	[	X
ejpam-4751	161	2	3	3	X
ejpam-4751	161	3	]	]	X
ejpam-4751	161	4	maysoon	maysoon	NOUN
ejpam-4751	161	5	m	m	PROPN
ejpam-4751	161	6	aziz	aziz	PROPN
ejpam-4751	161	7	.	.	PUNCT
ejpam-4751	162	1	applied	apply	VERB
ejpam-4751	162	2	mathematical	mathematical	ADJ
ejpam-4751	162	3	model	model	NOUN
ejpam-4751	162	4	for	for	ADP
ejpam-4751	162	5	heat	heat	NOUN
ejpam-4751	162	6	transfer	transfer	NOUN
ejpam-4751	162	7	.	.	PUNCT
ejpam-4751	163	1	periodicals	periodical	NOUN
ejpam-4751	163	2	of	of	ADP
ejpam-4751	163	3	engineering	engineering	NOUN
ejpam-4751	163	4	and	and	CCONJ
ejpam-4751	163	5	natural	natural	ADJ
ejpam-4751	163	6	sciences	science	NOUN
ejpam-4751	163	7	(	(	PUNCT
ejpam-4751	163	8	pen	pen	NOUN
ejpam-4751	163	9	)	)	PUNCT
ejpam-4751	163	10	,	,	PUNCT
ejpam-4751	163	11	9(2):940–945	9(2):940–945	NUM
ejpam-4751	163	12	,	,	PUNCT
ejpam-4751	163	13	2021	2021	NUM
ejpam-4751	163	14	.	.	PUNCT
ejpam-4751	164	1	[	[	X
ejpam-4751	164	2	4	4	NUM
ejpam-4751	164	3	]	]	X
ejpam-4751	164	4	mm	mm	PROPN
ejpam-4751	164	5	aziz	aziz	PROPN
ejpam-4751	164	6	.	.	PUNCT
ejpam-4751	165	1	stability	stability	NOUN
ejpam-4751	165	2	analysis	analysis	NOUN
ejpam-4751	165	3	of	of	ADP
ejpam-4751	165	4	mathematical	mathematical	ADJ
ejpam-4751	165	5	model	model	NOUN
ejpam-4751	165	6	.	.	PUNCT
ejpam-4751	166	1	international	international	ADJ
ejpam-4751	166	2	journal	journal	PROPN
ejpam-4751	166	3	of	of	ADP
ejpam-4751	166	4	science	science	NOUN
ejpam-4751	166	5	and	and	CCONJ
ejpam-4751	166	6	research	research	NOUN
ejpam-4751	166	7	(	(	PUNCT
ejpam-4751	166	8	ijsr	ijsr	PROPN
ejpam-4751	166	9	)	)	PUNCT
ejpam-4751	166	10	,	,	PUNCT
ejpam-4751	166	11	7:147–148	7:147–148	NUM
ejpam-4751	166	12	,	,	PUNCT
ejpam-4751	166	13	2018	2018	NUM
ejpam-4751	166	14	.	.	PUNCT
ejpam-4751	167	1	[	[	X
ejpam-4751	167	2	5	5	NUM
ejpam-4751	167	3	]	]	PUNCT
ejpam-4751	167	4	mm	mm	PROPN
ejpam-4751	167	5	aziz	aziz	PROPN
ejpam-4751	167	6	and	and	CCONJ
ejpam-4751	167	7	dm	dm	PROPN
ejpam-4751	167	8	merie	merie	NOUN
ejpam-4751	167	9	.	.	PUNCT
ejpam-4751	168	1	stability	stability	NOUN
ejpam-4751	168	2	and	and	CCONJ
ejpam-4751	168	3	chaos	chaos	NOUN
ejpam-4751	168	4	with	with	ADP
ejpam-4751	168	5	mathematical	mathematical	ADJ
ejpam-4751	168	6	control	control	NOUN
ejpam-4751	168	7	of	of	ADP
ejpam-4751	168	8	4	4	NUM
ejpam-4751	168	9	-	-	PUNCT
ejpam-4751	168	10	d	d	ADJ
ejpam-4751	168	11	dynamical	dynamical	ADJ
ejpam-4751	168	12	system	system	NOUN
ejpam-4751	168	13	.	.	PUNCT
ejpam-4751	169	1	indonesian	indonesian	ADJ
ejpam-4751	169	2	journal	journal	PROPN
ejpam-4751	169	3	of	of	ADP
ejpam-4751	169	4	electrical	electrical	ADJ
ejpam-4751	169	5	engineering	engineering	NOUN
ejpam-4751	169	6	and	and	CCONJ
ejpam-4751	169	7	computer	computer	NOUN
ejpam-4751	169	8	science	science	NOUN
ejpam-4751	169	9	,	,	PUNCT
ejpam-4751	169	10	20(3):1242–1251	20(3):1242–1251	NUM
ejpam-4751	169	11	,	,	PUNCT
ejpam-4751	169	12	2020	2020	NUM
ejpam-4751	169	13	.	.	PUNCT
ejpam-4751	170	1	[	[	X
ejpam-4751	170	2	6	6	NUM
ejpam-4751	170	3	]	]	X
ejpam-4751	170	4	d	d	PROPN
ejpam-4751	170	5	joseff	joseff	PROPN
ejpam-4751	170	6	daniel	daniel	PROPN
ejpam-4751	170	7	.	.	PUNCT
ejpam-4751	171	1	stability	stability	NOUN
ejpam-4751	171	2	of	of	ADP
ejpam-4751	171	3	fluid	fluid	ADJ
ejpam-4751	171	4	motions	motion	NOUN
ejpam-4751	171	5	1	1	NUM
ejpam-4751	171	6	berlin	berlin	PROPN
ejpam-4751	171	7	heidelberg	heidelberg	PROPN
ejpam-4751	171	8	,	,	PUNCT
ejpam-4751	171	9	new	new	PROPN
ejpam-4751	171	10	york	york	PROPN
ejpam-4751	171	11	.	.	PUNCT
ejpam-4751	172	1	1979	1979	NUM
ejpam-4751	172	2	.	.	PUNCT
ejpam-4751	173	1	[	[	X
ejpam-4751	173	2	7	7	NUM
ejpam-4751	173	3	]	]	X
ejpam-4751	173	4	l	l	NOUN
ejpam-4751	173	5	elsgolts	elsgolt	NOUN
ejpam-4751	173	6	.	.	PUNCT
ejpam-4751	174	1	differential	differential	ADJ
ejpam-4751	174	2	equations	equation	NOUN
ejpam-4751	174	3	and	and	CCONJ
ejpam-4751	174	4	calculus	calculus	NOUN
ejpam-4751	174	5	of	of	ADP
ejpam-4751	174	6	variations	variation	NOUN
ejpam-4751	174	7	.	.	PUNCT
ejpam-4751	175	1	2016	2016	NUM
ejpam-4751	175	2	.	.	PUNCT
ejpam-4751	176	1	[	[	X
ejpam-4751	176	2	8	8	NUM
ejpam-4751	176	3	]	]	X
ejpam-4751	176	4	h	h	NOUN
ejpam-4751	176	5	grab	grab	PROPN
ejpam-4751	176	6	muller	muller	PROPN
ejpam-4751	176	7	.	.	PUNCT
ejpam-4751	177	1	singular	singular	PROPN
ejpam-4751	177	2	perturbation	perturbation	NOUN
ejpam-4751	177	3	techniques	technique	NOUN
ejpam-4751	177	4	applied	apply	VERB
ejpam-4751	177	5	to	to	ADP
ejpam-4751	177	6	integro	integro	ADJ
ejpam-4751	177	7	-	-	PUNCT
ejpam-4751	177	8	differential	differential	NOUN
ejpam-4751	177	9	equations	equation	NOUN
ejpam-4751	177	10	.	.	PUNCT
ejpam-4751	178	1	great	great	ADJ
ejpam-4751	178	2	britain	britain	PROPN
ejpam-4751	178	3	at	at	ADP
ejpam-4751	178	4	biddles	biddle	NOUN
ejpam-4751	178	5	of	of	ADP
ejpam-4751	178	6	guild	guild	PROPN
ejpam-4751	178	7	ford	ford	NOUN
ejpam-4751	178	8	,	,	PUNCT
ejpam-4751	178	9	1978	1978	NUM
ejpam-4751	178	10	.	.	PUNCT
ejpam-4751	179	1	[	[	X
ejpam-4751	179	2	9	9	NUM
ejpam-4751	179	3	]	]	SYM
ejpam-4751	179	4	om	om	PROPN
ejpam-4751	179	5	jihad	jihad	NOUN
ejpam-4751	179	6	and	and	CCONJ
ejpam-4751	179	7	mm	mm	PROPN
ejpam-4751	179	8	aziz	aziz	PROPN
ejpam-4751	179	9	.	.	PUNCT
ejpam-4751	180	1	stability	stability	PROPN
ejpam-4751	180	2	&	&	CCONJ
ejpam-4751	180	3	chaos	chaos	NOUN
ejpam-4751	180	4	tests	test	NOUN
ejpam-4751	180	5	of	of	ADP
ejpam-4751	180	6	2d	2d	NUM
ejpam-4751	180	7	discrete	discrete	ADJ
ejpam-4751	180	8	time	time	NOUN
ejpam-4751	180	9	dynamical	dynamical	ADJ
ejpam-4751	180	10	system	system	NOUN
ejpam-4751	180	11	with	with	ADP
ejpam-4751	180	12	hidden	hidden	ADJ
ejpam-4751	180	13	attractors	attractor	NOUN
ejpam-4751	180	14	.	.	PUNCT
ejpam-4751	181	1	open	open	ADJ
ejpam-4751	181	2	access	access	NOUN
ejpam-4751	181	3	library	library	PROPN
ejpam-4751	181	4	journal	journal	NOUN
ejpam-4751	181	5	,	,	PUNCT
ejpam-4751	181	6	8(6):1–11	8(6):1–11	PROPN
ejpam-4751	181	7	,	,	PUNCT
ejpam-4751	181	8	2021	2021	NUM
ejpam-4751	181	9	.	.	PUNCT
ejpam-4751	182	1	[	[	X
ejpam-4751	182	2	10	10	NUM
ejpam-4751	182	3	]	]	X
ejpam-4751	182	4	jd	jd	PROPN
ejpam-4751	182	5	logan	logan	PROPN
ejpam-4751	182	6	.	.	PUNCT
ejpam-4751	183	1	applied	apply	VERB
ejpam-4751	183	2	mathematics	mathematic	NOUN
ejpam-4751	183	3	.	.	PUNCT
ejpam-4751	184	1	john	john	PROPN
ejpam-4751	184	2	wiley	wiley	PROPN
ejpam-4751	184	3	&	&	CCONJ
ejpam-4751	184	4	sons	son	NOUN
ejpam-4751	184	5	,	,	PUNCT
ejpam-4751	184	6	2013	2013	NUM
ejpam-4751	184	7	.	.	PUNCT
ejpam-4751	185	1	[	[	X
ejpam-4751	185	2	11	11	NUM
ejpam-4751	185	3	]	]	X
ejpam-4751	185	4	s.v	s.v	PROPN
ejpam-4751	185	5	.	.	PROPN
ejpam-4751	185	6	maulucci	maulucci	PROPN
ejpam-4751	185	7	.	.	PUNCT
ejpam-4751	186	1	spatial	spatial	ADJ
ejpam-4751	186	2	type	type	NOUN
ejpam-4751	186	3	instability	instability	NOUN
ejpam-4751	186	4	wave	wave	NOUN
ejpam-4751	186	5	in	in	ADP
ejpam-4751	186	6	the	the	DET
ejpam-4751	186	7	boundary	boundary	ADJ
ejpam-4751	186	8	layer	layer	NOUN
ejpam-4751	186	9	at	at	ADP
ejpam-4751	186	10	reynolds	reynolds	PROPN
ejpam-4751	186	11	numbers	number	NOUN
ejpam-4751	186	12	.	.	PUNCT
ejpam-4751	187	1	journal	journal	ADJ
ejpam-4751	187	2	fluid	fluid	ADJ
ejpam-4751	187	3	mechanics	mechanic	NOUN
ejpam-4751	187	4	soviet	soviet	ADJ
ejpam-4751	187	5	research	research	NOUN
ejpam-4751	187	6	,	,	PUNCT
ejpam-4751	187	7	11(6):25–32	11(6):25–32	NUM
ejpam-4751	187	8	,	,	PUNCT
ejpam-4751	187	9	1989	1989	NUM
ejpam-4751	187	10	.	.	PUNCT
ejpam-4751	188	1	[	[	X
ejpam-4751	188	2	12	12	NUM
ejpam-4751	188	3	]	]	X
ejpam-4751	188	4	y.	y.	PROPN
ejpam-4751	188	5	mori	mori	PROPN
ejpam-4751	188	6	.	.	PUNCT
ejpam-4751	189	1	buoyancy	buoyancy	NOUN
ejpam-4751	189	2	effects	effect	NOUN
ejpam-4751	189	3	in	in	ADP
ejpam-4751	189	4	forced	forced	ADJ
ejpam-4751	189	5	laminar	laminar	ADJ
ejpam-4751	189	6	convection	convection	NOUN
ejpam-4751	189	7	flow	flow	NOUN
ejpam-4751	189	8	over	over	ADP
ejpam-4751	189	9	a	a	DET
ejpam-4751	189	10	horizontal	horizontal	ADJ
ejpam-4751	189	11	flat	flat	ADJ
ejpam-4751	189	12	plate	plate	NOUN
ejpam-4751	189	13	.	.	PUNCT
ejpam-4751	190	1	j.	j.	PROPN
ejpam-4751	190	2	heat	heat	PROPN
ejpam-4751	190	3	transfer	transfer	NOUN
ejpam-4751	190	4	,	,	PUNCT
ejpam-4751	190	5	83(1):479	83(1):479	PROPN
ejpam-4751	190	6	,	,	PUNCT
ejpam-4751	190	7	1961	1961	NUM
ejpam-4751	190	8	.	.	PUNCT
ejpam-4751	191	1	references	reference	NOUN
ejpam-4751	191	2	996	996	NUM
ejpam-4751	191	3	[	[	X
ejpam-4751	191	4	13	13	NUM
ejpam-4751	191	5	]	]	PUNCT
ejpam-4751	191	6	konstantin	konstantin	PROPN
ejpam-4751	191	7	g	g	PROPN
ejpam-4751	191	8	shavarts	shavart	NOUN
ejpam-4751	191	9	and	and	CCONJ
ejpam-4751	191	10	abd	abd	PROPN
ejpam-4751	191	11	alaziz	alaziz	PROPN
ejpam-4751	191	12	.	.	PUNCT
ejpam-4751	192	1	effect	effect	NOUN
ejpam-4751	192	2	of	of	ADP
ejpam-4751	192	3	rotation	rotation	NOUN
ejpam-4751	192	4	on	on	ADP
ejpam-4751	192	5	stability	stability	NOUN
ejpam-4751	192	6	of	of	ADP
ejpam-4751	192	7	a	a	DET
ejpam-4751	192	8	defective	defective	ADJ
ejpam-4751	192	9	flow	flow	NOUN
ejpam-4751	192	10	in	in	ADP
ejpam-4751	192	11	horizontal	horizontal	ADJ
ejpam-4751	192	12	liquid	liquid	ADJ
ejpam-4751	192	13	layer	layer	NOUN
ejpam-4751	192	14	with	with	ADP
ejpam-4751	192	15	free	free	ADJ
ejpam-4751	192	16	upper	upper	ADJ
ejpam-4751	192	17	boundary	boundary	NOUN
ejpam-4751	192	18	.	.	PUNCT
ejpam-4751	193	1	journal	journal	PROPN
ejpam-4751	193	2	of	of	ADP
ejpam-4751	193	3	physics	physics	PROPN
ejpam-4751	193	4	:	:	PUNCT
ejpam-4751	193	5	conference	conference	NOUN
ejpam-4751	193	6	series	series	NOUN
ejpam-4751	193	7	,	,	PUNCT
ejpam-4751	193	8	216(1):012002	216(1):012002	PROPN
ejpam-4751	193	9	,	,	PUNCT
ejpam-4751	193	10	2010	2010	NUM
ejpam-4751	193	11	.	.	PUNCT