id	sid	tid	token	lemma	pos
ejpam-66	1	1	european	european	PROPN
ejpam-66	1	2	journal	journal	PROPN
ejpam-66	1	3	of	of	ADP
ejpam-66	1	4	pure	pure	ADJ
ejpam-66	1	5	and	and	CCONJ
ejpam-66	1	6	applied	apply	VERB
ejpam-66	1	7	mathematics	mathematic	NOUN
ejpam-66	1	8	vol	vol	NOUN
ejpam-66	1	9	.	.	PROPN
ejpam-66	2	1	1	1	NUM
ejpam-66	2	2	,	,	PUNCT
ejpam-66	2	3	no	no	INTJ
ejpam-66	2	4	.	.	NOUN
ejpam-66	2	5	2	2	NUM
ejpam-66	2	6	,	,	PUNCT
ejpam-66	2	7	2008	2008	NUM
ejpam-66	2	8	,	,	PUNCT
ejpam-66	2	9	(	(	PUNCT
ejpam-66	2	10	11	11	NUM
ejpam-66	2	11	-	-	SYM
ejpam-66	2	12	20	20	NUM
ejpam-66	2	13	)	)	PUNCT
ejpam-66	2	14	issn	issn	PROPN
ejpam-66	2	15	1307	1307	NUM
ejpam-66	2	16	-	-	SYM
ejpam-66	2	17	5543	5543	NUM
ejpam-66	2	18	–	–	PUNCT
ejpam-66	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-66	2	20	multiple	multiple	ADJ
ejpam-66	2	21	solutions	solution	NOUN
ejpam-66	2	22	of	of	ADP
ejpam-66	2	23	steady	steady	ADJ
ejpam-66	2	24	mhd	mhd	NOUN
ejpam-66	2	25	flow	flow	NOUN
ejpam-66	2	26	of	of	ADP
ejpam-66	2	27	dilatant	dilatant	ADJ
ejpam-66	2	28	fluids	fluid	NOUN
ejpam-66	2	29	zakia	zakia	NOUN
ejpam-66	2	30	hammouch∗	hammouch∗	NOUN
ejpam-66	2	31	lamfa	lamfa	NOUN
ejpam-66	2	32	,	,	PUNCT
ejpam-66	2	33	cnrs	cnrs	NOUN
ejpam-66	2	34	umr	umr	ADP
ejpam-66	2	35	6140	6140	NUM
ejpam-66	2	36	,	,	PUNCT
ejpam-66	2	37	faculté	faculté	PROPN
ejpam-66	2	38	de	de	X
ejpam-66	2	39	mathématiques	mathématiques	PROPN
ejpam-66	2	40	et	et	NOUN
ejpam-66	2	41	d’informatique	d’informatique	NOUN
ejpam-66	2	42	,	,	PUNCT
ejpam-66	2	43	université	université	PROPN
ejpam-66	2	44	de	de	PROPN
ejpam-66	2	45	picardie	picardie	PROPN
ejpam-66	2	46	jules	jules	PROPN
ejpam-66	2	47	verne	verne	PROPN
ejpam-66	2	48	,	,	PUNCT
ejpam-66	2	49	80039	80039	NUM
ejpam-66	2	50	amiens	amien	NOUN
ejpam-66	2	51	,	,	PUNCT
ejpam-66	2	52	france	france	PROPN
ejpam-66	2	53	abstract	abstract	NOUN
ejpam-66	2	54	.	.	PUNCT
ejpam-66	3	1	in	in	ADP
ejpam-66	3	2	this	this	DET
ejpam-66	3	3	paper	paper	NOUN
ejpam-66	3	4	we	we	PRON
ejpam-66	3	5	consider	consider	VERB
ejpam-66	3	6	the	the	DET
ejpam-66	3	7	problem	problem	NOUN
ejpam-66	3	8	of	of	ADP
ejpam-66	3	9	a	a	DET
ejpam-66	3	10	steady	steady	ADJ
ejpam-66	3	11	mhd	mhd	NOUN
ejpam-66	3	12	flow	flow	NOUN
ejpam-66	3	13	of	of	ADP
ejpam-66	3	14	a	a	DET
ejpam-66	3	15	non	non	ADJ
ejpam-66	3	16	-	-	ADJ
ejpam-66	3	17	newtonian	newtonian	ADJ
ejpam-66	3	18	powerlaw	powerlaw	NOUN
ejpam-66	3	19	and	and	CCONJ
ejpam-66	3	20	electrically	electrically	ADV
ejpam-66	3	21	conducting	conduct	VERB
ejpam-66	3	22	fluid	fluid	NOUN
ejpam-66	3	23	in	in	ADP
ejpam-66	3	24	presence	presence	NOUN
ejpam-66	3	25	of	of	ADP
ejpam-66	3	26	an	an	DET
ejpam-66	3	27	applied	apply	VERB
ejpam-66	3	28	magnetic	magnetic	ADJ
ejpam-66	3	29	field	field	NOUN
ejpam-66	3	30	.	.	PUNCT
ejpam-66	4	1	the	the	DET
ejpam-66	4	2	boundary	boundary	ADJ
ejpam-66	4	3	layer	layer	NOUN
ejpam-66	4	4	equations	equation	NOUN
ejpam-66	4	5	are	be	AUX
ejpam-66	4	6	solved	solve	VERB
ejpam-66	4	7	in	in	ADP
ejpam-66	4	8	similarity	similarity	NOUN
ejpam-66	4	9	form	form	NOUN
ejpam-66	4	10	via	via	ADP
ejpam-66	4	11	the	the	DET
ejpam-66	4	12	lyapunov	lyapunov	ADJ
ejpam-66	4	13	energy	energy	NOUN
ejpam-66	4	14	method	method	NOUN
ejpam-66	4	15	,	,	PUNCT
ejpam-66	4	16	we	we	PRON
ejpam-66	4	17	show	show	VERB
ejpam-66	4	18	that	that	SCONJ
ejpam-66	4	19	this	this	DET
ejpam-66	4	20	problem	problem	NOUN
ejpam-66	4	21	has	have	VERB
ejpam-66	4	22	an	an	DET
ejpam-66	4	23	infinite	infinite	ADJ
ejpam-66	4	24	number	number	NOUN
ejpam-66	4	25	of	of	ADP
ejpam-66	4	26	positive	positive	ADJ
ejpam-66	4	27	global	global	ADJ
ejpam-66	4	28	solutions	solution	NOUN
ejpam-66	4	29	.	.	PUNCT
ejpam-66	5	1	ams	am	NOUN
ejpam-66	5	2	subject	subject	ADJ
ejpam-66	5	3	classifications	classification	NOUN
ejpam-66	5	4	:	:	PUNCT
ejpam-66	5	5	34b15	34b15	NUM
ejpam-66	5	6	,	,	PUNCT
ejpam-66	5	7	34b40	34b40	NUM
ejpam-66	5	8	,	,	PUNCT
ejpam-66	5	9	76d10	76d10	NUM
ejpam-66	5	10	,	,	PUNCT
ejpam-66	5	11	76m55	76m55	NUM
ejpam-66	5	12	key	key	ADJ
ejpam-66	5	13	words	word	NOUN
ejpam-66	5	14	:	:	PUNCT
ejpam-66	5	15	asymptotic	asymptotic	ADJ
ejpam-66	5	16	solution	solution	NOUN
ejpam-66	5	17	,	,	PUNCT
ejpam-66	5	18	boundary	boundary	NOUN
ejpam-66	5	19	-	-	PUNCT
ejpam-66	5	20	layer	layer	NOUN
ejpam-66	5	21	,	,	PUNCT
ejpam-66	5	22	degenerate	degenerate	ADJ
ejpam-66	5	23	differential	differential	NOUN
ejpam-66	5	24	equation	equation	NOUN
ejpam-66	5	25	,	,	PUNCT
ejpam-66	5	26	mhd	mhd	NOUN
ejpam-66	5	27	flow	flow	NOUN
ejpam-66	5	28	,	,	PUNCT
ejpam-66	5	29	powerlaw	powerlaw	NOUN
ejpam-66	5	30	fluid	fluid	NOUN
ejpam-66	5	31	,	,	PUNCT
ejpam-66	5	32	similarity	similarity	NOUN
ejpam-66	5	33	solution	solution	NOUN
ejpam-66	5	34	1	1	NUM
ejpam-66	5	35	.	.	PUNCT
ejpam-66	5	36	introduction	introduction	NOUN
ejpam-66	5	37	the	the	DET
ejpam-66	5	38	study	study	NOUN
ejpam-66	5	39	of	of	ADP
ejpam-66	5	40	non	non	ADJ
ejpam-66	5	41	-	-	ADJ
ejpam-66	5	42	newtonian	newtonian	ADJ
ejpam-66	5	43	fluid	fluid	NOUN
ejpam-66	5	44	flows	flow	NOUN
ejpam-66	5	45	has	have	VERB
ejpam-66	5	46	considerable	considerable	ADJ
ejpam-66	5	47	interests	interest	NOUN
ejpam-66	5	48	,	,	PUNCT
ejpam-66	5	49	this	this	PRON
ejpam-66	5	50	is	be	AUX
ejpam-66	5	51	primarily	primarily	ADV
ejpam-66	5	52	because	because	SCONJ
ejpam-66	5	53	of	of	ADP
ejpam-66	5	54	the	the	DET
ejpam-66	5	55	numerous	numerous	ADJ
ejpam-66	5	56	applications	application	NOUN
ejpam-66	5	57	in	in	ADP
ejpam-66	5	58	several	several	ADJ
ejpam-66	5	59	engineering	engineering	NOUN
ejpam-66	5	60	fields	field	NOUN
ejpam-66	5	61	.	.	PUNCT
ejpam-66	6	1	such	such	ADJ
ejpam-66	6	2	processes	process	NOUN
ejpam-66	6	3	are	be	AUX
ejpam-66	6	4	wire	wire	NOUN
ejpam-66	6	5	drawing	drawing	NOUN
ejpam-66	6	6	,	,	PUNCT
ejpam-66	6	7	glass	glass	NOUN
ejpam-66	6	8	fiber	fiber	NOUN
ejpam-66	6	9	and	and	CCONJ
ejpam-66	6	10	paper	paper	NOUN
ejpam-66	6	11	production	production	NOUN
ejpam-66	6	12	,	,	PUNCT
ejpam-66	6	13	crystal	crystal	NOUN
ejpam-66	6	14	growing	growing	NOUN
ejpam-66	6	15	,	,	PUNCT
ejpam-66	6	16	drawing	drawing	NOUN
ejpam-66	6	17	of	of	ADP
ejpam-66	6	18	plastic	plastic	NOUN
ejpam-66	6	19	sheets	sheet	NOUN
ejpam-66	6	20	etc	etc	X
ejpam-66	6	21	.	.	X
ejpam-66	7	1	for	for	ADP
ejpam-66	7	2	more	more	ADJ
ejpam-66	7	3	details	detail	NOUN
ejpam-66	7	4	about	about	ADP
ejpam-66	7	5	the	the	DET
ejpam-66	7	6	behavior	behavior	NOUN
ejpam-66	7	7	in	in	ADP
ejpam-66	7	8	both	both	CCONJ
ejpam-66	7	9	steady	steady	ADJ
ejpam-66	7	10	and	and	CCONJ
ejpam-66	7	11	unsteady	unsteady	ADJ
ejpam-66	7	12	flow	flow	NOUN
ejpam-66	7	13	situations	situation	NOUN
ejpam-66	7	14	,	,	PUNCT
ejpam-66	7	15	together	together	ADV
ejpam-66	7	16	with	with	ADP
ejpam-66	7	17	mathematical	mathematical	ADJ
ejpam-66	7	18	models	model	NOUN
ejpam-66	7	19	,	,	PUNCT
ejpam-66	7	20	we	we	PRON
ejpam-66	7	21	refer	refer	VERB
ejpam-66	7	22	the	the	DET
ejpam-66	7	23	reader	reader	NOUN
ejpam-66	7	24	to	to	ADP
ejpam-66	7	25	the	the	DET
ejpam-66	7	26	books	book	NOUN
ejpam-66	7	27	[	[	X
ejpam-66	7	28	1	1	X
ejpam-66	7	29	]	]	PUNCT
ejpam-66	7	30	by	by	ADP
ejpam-66	7	31	astarita	astarita	PROPN
ejpam-66	7	32	and	and	CCONJ
ejpam-66	7	33	marucci	marucci	PROPN
ejpam-66	7	34	,	,	PUNCT
ejpam-66	7	35	[	[	X
ejpam-66	7	36	2	2	NUM
ejpam-66	7	37	]	]	PUNCT
ejpam-66	7	38	by	by	ADP
ejpam-66	7	39	bohme	bohme	NOUN
ejpam-66	7	40	and	and	CCONJ
ejpam-66	7	41	the	the	DET
ejpam-66	7	42	references	reference	NOUN
ejpam-66	7	43	therein	therein	ADV
ejpam-66	7	44	.	.	PUNCT
ejpam-66	8	1	one	one	NUM
ejpam-66	8	2	particular	particular	ADJ
ejpam-66	8	3	non	non	ADJ
ejpam-66	8	4	-	-	ADJ
ejpam-66	8	5	newtonian	newtonian	ADJ
ejpam-66	8	6	model	model	NOUN
ejpam-66	8	7	which	which	PRON
ejpam-66	8	8	has	have	AUX
ejpam-66	8	9	been	be	AUX
ejpam-66	8	10	widely	widely	ADV
ejpam-66	8	11	studied	study	VERB
ejpam-66	8	12	is	be	AUX
ejpam-66	8	13	the	the	DET
ejpam-66	8	14	ostwald	ostwald	NOUN
ejpam-66	8	15	-	-	PUNCT
ejpam-66	8	16	de	de	X
ejpam-66	8	17	wael	wael	PROPN
ejpam-66	8	18	power	power	NOUN
ejpam-66	8	19	-	-	PUNCT
ejpam-66	8	20	law	law	NOUN
ejpam-66	8	21	model	model	NOUN
ejpam-66	8	22	[	[	X
ejpam-66	8	23	3	3	X
ejpam-66	8	24	]	]	X
ejpam-66	8	25	[	[	X
ejpam-66	8	26	4	4	NUM
ejpam-66	8	27	]	]	PUNCT
ejpam-66	8	28	,	,	PUNCT
ejpam-66	8	29	which	which	PRON
ejpam-66	8	30	relies	rely	VERB
ejpam-66	8	31	the	the	DET
ejpam-66	8	32	shear	shear	NOUN
ejpam-66	8	33	stress	stress	NOUN
ejpam-66	8	34	to	to	ADP
ejpam-66	8	35	the	the	DET
ejpam-66	8	36	strain	strain	NOUN
ejpam-66	8	37	rate	rate	NOUN
ejpam-66	8	38	uy	uy	INTJ
ejpam-66	8	39	by	by	ADP
ejpam-66	8	40	the	the	DET
ejpam-66	8	41	expression	expression	NOUN
ejpam-66	8	42	τx	τx	X
ejpam-66	9	1	y	y	PROPN
ejpam-66	9	2	=	=	PUNCT
ejpam-66	9	3	k|uy	k|uy	PROPN
ejpam-66	9	4	|n−1uy	|n−1uy	PROPN
ejpam-66	9	5	,	,	PUNCT
ejpam-66	9	6	(	(	PUNCT
ejpam-66	9	7	1.1	1.1	NUM
ejpam-66	9	8	)	)	PUNCT
ejpam-66	9	9	where	where	SCONJ
ejpam-66	9	10	k	k	PROPN
ejpam-66	9	11	is	be	AUX
ejpam-66	9	12	a	a	DET
ejpam-66	9	13	positive	positive	ADJ
ejpam-66	9	14	constant	constant	ADJ
ejpam-66	9	15	,	,	PUNCT
ejpam-66	9	16	and	and	CCONJ
ejpam-66	9	17	n	n	CCONJ
ejpam-66	9	18	>	>	DET
ejpam-66	9	19	0	0	NUM
ejpam-66	9	20	is	be	AUX
ejpam-66	9	21	called	call	VERB
ejpam-66	9	22	the	the	DET
ejpam-66	9	23	power	power	NOUN
ejpam-66	9	24	-	-	PUNCT
ejpam-66	9	25	law	law	NOUN
ejpam-66	9	26	index	index	NOUN
ejpam-66	9	27	.	.	PUNCT
ejpam-66	10	1	the	the	DET
ejpam-66	10	2	case	case	NOUN
ejpam-66	10	3	n	n	CCONJ
ejpam-66	10	4	<	<	X
ejpam-66	10	5	1	1	NUM
ejpam-66	10	6	is	be	AUX
ejpam-66	10	7	referred	refer	VERB
ejpam-66	10	8	to	to	ADP
ejpam-66	10	9	pseudo	pseudo	NOUN
ejpam-66	10	10	-	-	NOUN
ejpam-66	10	11	plastic	plastic	ADJ
ejpam-66	10	12	or	or	CCONJ
ejpam-66	10	13	shear	shear	NOUN
ejpam-66	10	14	-	-	PUNCT
ejpam-66	10	15	thinning	thin	VERB
ejpam-66	10	16	fluid	fluid	NOUN
ejpam-66	10	17	,	,	PUNCT
ejpam-66	10	18	the	the	DET
ejpam-66	10	19	case	case	NOUN
ejpam-66	10	20	n	n	ADP
ejpam-66	10	21	>	>	X
ejpam-66	10	22	1	1	NUM
ejpam-66	10	23	is	be	AUX
ejpam-66	10	24	known	know	VERB
ejpam-66	10	25	as	as	ADP
ejpam-66	10	26	dilatant	dilatant	ADJ
ejpam-66	10	27	or	or	CCONJ
ejpam-66	10	28	shear	shear	NOUN
ejpam-66	10	29	-	-	PUNCT
ejpam-66	10	30	thickening	thicken	VERB
ejpam-66	10	31	fluid	fluid	NOUN
ejpam-66	10	32	.	.	PUNCT
ejpam-66	11	1	the	the	DET
ejpam-66	11	2	newtonian	newtonian	ADJ
ejpam-66	11	3	fluid	fluid	NOUN
ejpam-66	11	4	is	be	AUX
ejpam-66	11	5	a	a	DET
ejpam-66	11	6	special	special	ADJ
ejpam-66	11	7	case	case	NOUN
ejpam-66	11	8	where	where	SCONJ
ejpam-66	11	9	the	the	DET
ejpam-66	11	10	power	power	NOUN
ejpam-66	11	11	-	-	PUNCT
ejpam-66	11	12	law	law	NOUN
ejpam-66	11	13	index	index	NOUN
ejpam-66	11	14	n	n	NOUN
ejpam-66	11	15	is	be	AUX
ejpam-66	11	16	equal	equal	ADJ
ejpam-66	11	17	to	to	ADP
ejpam-66	11	18	one	one	NUM
ejpam-66	11	19	.	.	PUNCT
ejpam-66	12	1	in	in	ADP
ejpam-66	12	2	the	the	DET
ejpam-66	12	3	present	present	ADJ
ejpam-66	12	4	work	work	NOUN
ejpam-66	12	5	we	we	PRON
ejpam-66	12	6	shall	shall	AUX
ejpam-66	12	7	restrict	restrict	VERB
ejpam-66	12	8	our	our	PRON
ejpam-66	12	9	study	study	NOUN
ejpam-66	12	10	to	to	ADP
ejpam-66	12	11	the	the	DET
ejpam-66	12	12	case	case	NOUN
ejpam-66	12	13	n	n	CCONJ
ejpam-66	12	14	>	>	X
ejpam-66	12	15	1	1	NUM
ejpam-66	12	16	.	.	PUNCT
ejpam-66	13	1	the	the	DET
ejpam-66	13	2	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-66	13	3	(	(	PUNCT
ejpam-66	13	4	mhd	mhd	NOUN
ejpam-66	13	5	)	)	PUNCT
ejpam-66	13	6	flow	flow	NOUN
ejpam-66	13	7	problems	problem	NOUN
ejpam-66	13	8	find	find	VERB
ejpam-66	13	9	also	also	ADV
ejpam-66	13	10	applications	application	NOUN
ejpam-66	13	11	in	in	ADP
ejpam-66	13	12	a	a	DET
ejpam-66	13	13	large	large	ADJ
ejpam-66	13	14	variety	variety	NOUN
ejpam-66	13	15	of	of	ADP
ejpam-66	13	16	physical	physical	ADJ
ejpam-66	13	17	,	,	PUNCT
ejpam-66	13	18	geophysical	geophysical	ADJ
ejpam-66	13	19	and	and	CCONJ
ejpam-66	13	20	industrial	industrial	ADJ
ejpam-66	13	21	fields	field	NOUN
ejpam-66	13	22	[	[	X
ejpam-66	13	23	5	5	NUM
ejpam-66	13	24	]	]	PUNCT
ejpam-66	13	25	.	.	PUNCT
ejpam-66	14	1	it	it	PRON
ejpam-66	14	2	is	be	AUX
ejpam-66	14	3	also	also	ADV
ejpam-66	14	4	interesting	interesting	ADJ
ejpam-66	14	5	to	to	PART
ejpam-66	14	6	study	study	VERB
ejpam-66	14	7	the	the	DET
ejpam-66	14	8	flow	flow	NOUN
ejpam-66	14	9	of	of	ADP
ejpam-66	14	10	nonnewtonian	nonnewtonian	NOUN
ejpam-66	14	11	fluids	fluid	NOUN
ejpam-66	14	12	with	with	ADP
ejpam-66	14	13	externally	externally	ADV
ejpam-66	14	14	imposed	impose	VERB
ejpam-66	14	15	magnetic	magnetic	ADJ
ejpam-66	14	16	fields	field	NOUN
ejpam-66	14	17	.	.	PUNCT
ejpam-66	15	1	to	to	ADP
ejpam-66	15	2	the	the	DET
ejpam-66	15	3	author	author	NOUN
ejpam-66	15	4	knowledge	knowledge	PROPN
ejpam-66	15	5	mhd	mhd	PROPN
ejpam-66	15	6	flow	flow	NOUN
ejpam-66	15	7	of	of	ADP
ejpam-66	15	8	non	non	ADJ
ejpam-66	15	9	-	-	ADJ
ejpam-66	15	10	newtonian	newtonian	ADJ
ejpam-66	15	11	fluids	fluid	NOUN
ejpam-66	15	12	was	be	AUX
ejpam-66	15	13	first	first	ADV
ejpam-66	15	14	studied	study	VERB
ejpam-66	15	15	by	by	ADP
ejpam-66	15	16	sarpkaya	sarpkaya	NOUN
ejpam-66	16	1	[	[	X
ejpam-66	16	2	6	6	NUM
ejpam-66	16	3	]	]	PUNCT
ejpam-66	16	4	.	.	PUNCT
ejpam-66	17	1	in	in	ADP
ejpam-66	17	2	[	[	X
ejpam-66	17	3	7	7	NUM
ejpam-66	17	4	]	]	SYM
ejpam-66	17	5	sapunkov	sapunkov	NOUN
ejpam-66	17	6	derived	derive	VERB
ejpam-66	17	7	the	the	DET
ejpam-66	17	8	equations	equation	NOUN
ejpam-66	17	9	describing	describe	VERB
ejpam-66	17	10	the	the	DET
ejpam-66	17	11	similarity	similarity	NOUN
ejpam-66	17	12	solutions	solution	NOUN
ejpam-66	17	13	for	for	ADP
ejpam-66	17	14	the	the	DET
ejpam-66	17	15	non	non	ADJ
ejpam-66	17	16	-	-	ADJ
ejpam-66	17	17	newtonian	newtonian	ADJ
ejpam-66	17	18	flow	flow	NOUN
ejpam-66	17	19	when	when	SCONJ
ejpam-66	17	20	the	the	DET
ejpam-66	17	21	external	external	ADJ
ejpam-66	17	22	∗corresponding	∗corresponde	VERB
ejpam-66	17	23	author	author	NOUN
ejpam-66	17	24	.	.	PUNCT
ejpam-66	18	1	email	email	NOUN
ejpam-66	18	2	address	address	NOUN
ejpam-66	18	3	:	:	PUNCT
ejpam-66	18	4	zakia.hammouch@u-picardie.fr	zakia.hammouch@u-picardie.fr	PROPN
ejpam-66	18	5	(	(	PUNCT
ejpam-66	18	6	zakia	zakia	NOUN
ejpam-66	18	7	hammouch	hammouch	NOUN
ejpam-66	18	8	)	)	PUNCT
ejpam-66	18	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-66	19	1	11	11	NUM
ejpam-66	20	1	c	c	X
ejpam-66	20	2	©	©	PROPN
ejpam-66	20	3	2007	2007	NUM
ejpam-66	20	4	ejpam	ejpam	NOUN
ejpam-66	20	5	all	all	DET
ejpam-66	20	6	rights	right	NOUN
ejpam-66	20	7	reserved	reserve	VERB
ejpam-66	20	8	.	.	PUNCT
ejpam-66	21	1	zakia	zakia	NOUN
ejpam-66	21	2	hammouch	hammouch	PROPN
ejpam-66	21	3	/	/	SYM
ejpam-66	21	4	eur	eur	NOUN
ejpam-66	21	5	.	.	PUNCT
ejpam-66	22	1	j.	j.	PROPN
ejpam-66	22	2	pure	pure	PROPN
ejpam-66	22	3	appl	appl	PROPN
ejpam-66	22	4	.	.	PROPN
ejpam-66	22	5	math	math	PROPN
ejpam-66	22	6	,	,	PUNCT
ejpam-66	22	7	1	1	NUM
ejpam-66	22	8	(	(	PUNCT
ejpam-66	22	9	2008	2008	NUM
ejpam-66	22	10	)	)	PUNCT
ejpam-66	22	11	,	,	PUNCT
ejpam-66	22	12	(	(	PUNCT
ejpam-66	22	13	11	11	NUM
ejpam-66	22	14	-	-	SYM
ejpam-66	22	15	20	20	NUM
ejpam-66	22	16	)	)	PUNCT
ejpam-66	22	17	12	12	NUM
ejpam-66	22	18	applied	apply	VERB
ejpam-66	22	19	magnetic	magnetic	ADJ
ejpam-66	22	20	field	field	NOUN
ejpam-66	22	21	varies	vary	VERB
ejpam-66	22	22	as	as	ADP
ejpam-66	22	23	x	x	PUNCT
ejpam-66	22	24	m−1	m−1	PROPN
ejpam-66	22	25	2	2	NUM
ejpam-66	22	26	,	,	PUNCT
ejpam-66	22	27	in	in	ADP
ejpam-66	22	28	presence	presence	NOUN
ejpam-66	22	29	of	of	ADP
ejpam-66	22	30	a	a	DET
ejpam-66	22	31	pressure	pressure	NOUN
ejpam-66	22	32	gradient	gradient	NOUN
ejpam-66	22	33	,	,	PUNCT
ejpam-66	22	34	he	he	PRON
ejpam-66	22	35	used	use	VERB
ejpam-66	22	36	the	the	DET
ejpam-66	22	37	method	method	NOUN
ejpam-66	22	38	of	of	ADP
ejpam-66	22	39	series	series	NOUN
ejpam-66	22	40	expansion	expansion	NOUN
ejpam-66	22	41	.	.	PUNCT
ejpam-66	23	1	later	later	ADV
ejpam-66	23	2	,	,	PUNCT
ejpam-66	23	3	djuvic	djuvic	VERB
ejpam-66	23	4	[	[	X
ejpam-66	23	5	8	8	NUM
ejpam-66	23	6	]	]	PUNCT
ejpam-66	23	7	employed	employ	VERB
ejpam-66	23	8	a	a	DET
ejpam-66	23	9	crocco	crocco	NOUN
ejpam-66	23	10	’s	’s	PART
ejpam-66	23	11	variables	variable	NOUN
ejpam-66	23	12	to	to	PART
ejpam-66	23	13	study	study	VERB
ejpam-66	23	14	the	the	DET
ejpam-66	23	15	unsteady	unsteady	ADJ
ejpam-66	23	16	flow	flow	NOUN
ejpam-66	23	17	with	with	ADP
ejpam-66	23	18	exponentially	exponentially	ADV
ejpam-66	23	19	external	external	ADJ
ejpam-66	23	20	velocity	velocity	NOUN
ejpam-66	23	21	(	(	PUNCT
ejpam-66	23	22	in	in	ADP
ejpam-66	23	23	time	time	NOUN
ejpam-66	23	24	)	)	PUNCT
ejpam-66	23	25	.	.	PUNCT
ejpam-66	24	1	recently	recently	ADV
ejpam-66	24	2	,	,	PUNCT
ejpam-66	24	3	liao	liao	PROPN
ejpam-66	24	4	[	[	X
ejpam-66	24	5	9	9	NUM
ejpam-66	24	6	]	]	PUNCT
ejpam-66	24	7	introduced	introduce	VERB
ejpam-66	24	8	a	a	DET
ejpam-66	24	9	powerful	powerful	ADJ
ejpam-66	24	10	technique	technique	NOUN
ejpam-66	24	11	(	(	PUNCT
ejpam-66	24	12	homotopy	homotopy	VERB
ejpam-66	24	13	analysis	analysis	NOUN
ejpam-66	24	14	)	)	PUNCT
ejpam-66	24	15	to	to	PART
ejpam-66	24	16	give	give	VERB
ejpam-66	24	17	analytic	analytic	ADJ
ejpam-66	24	18	solutions	solution	NOUN
ejpam-66	24	19	of	of	ADP
ejpam-66	24	20	mhd	mhd	NOUN
ejpam-66	24	21	viscous	viscous	ADJ
ejpam-66	24	22	flows	flow	NOUN
ejpam-66	24	23	of	of	ADP
ejpam-66	24	24	non	non	ADJ
ejpam-66	24	25	-	-	ADJ
ejpam-66	24	26	newtonian	newtonian	ADJ
ejpam-66	24	27	fluids	fluid	NOUN
ejpam-66	24	28	over	over	ADP
ejpam-66	24	29	a	a	DET
ejpam-66	24	30	stretching	stretch	VERB
ejpam-66	24	31	sheet	sheet	NOUN
ejpam-66	24	32	.	.	PUNCT
ejpam-66	25	1	in	in	ADP
ejpam-66	25	2	this	this	DET
ejpam-66	25	3	paper	paper	NOUN
ejpam-66	25	4	,	,	PUNCT
ejpam-66	25	5	we	we	PRON
ejpam-66	25	6	reconsider	reconsider	VERB
ejpam-66	25	7	the	the	DET
ejpam-66	25	8	steady	steady	ADJ
ejpam-66	25	9	two	two	NUM
ejpam-66	25	10	-	-	PUNCT
ejpam-66	25	11	dimensional	dimensional	ADJ
ejpam-66	25	12	laminar	laminar	ADJ
ejpam-66	25	13	flow	flow	NOUN
ejpam-66	25	14	of	of	ADP
ejpam-66	25	15	an	an	DET
ejpam-66	25	16	incompressible	incompressible	ADJ
ejpam-66	25	17	viscous	viscous	NOUN
ejpam-66	25	18	electrically	electrically	ADV
ejpam-66	25	19	conducting	conduct	VERB
ejpam-66	25	20	dilatant	dilatant	ADJ
ejpam-66	25	21	fluid	fluid	NOUN
ejpam-66	25	22	over	over	ADP
ejpam-66	25	23	a	a	DET
ejpam-66	25	24	stretching	stretch	VERB
ejpam-66	25	25	flat	flat	ADJ
ejpam-66	25	26	plate	plate	NOUN
ejpam-66	25	27	with	with	ADP
ejpam-66	25	28	a	a	DET
ejpam-66	25	29	power	power	NOUN
ejpam-66	25	30	-	-	PUNCT
ejpam-66	25	31	law	law	NOUN
ejpam-66	25	32	velocity	velocity	NOUN
ejpam-66	25	33	distribution	distribution	NOUN
ejpam-66	25	34	in	in	ADP
ejpam-66	25	35	the	the	DET
ejpam-66	25	36	presence	presence	NOUN
ejpam-66	25	37	of	of	ADP
ejpam-66	25	38	a	a	DET
ejpam-66	25	39	perpendicular	perpendicular	ADJ
ejpam-66	25	40	magnetic	magnetic	ADJ
ejpam-66	25	41	field	field	NOUN
ejpam-66	25	42	.	.	PUNCT
ejpam-66	26	1	our	our	PRON
ejpam-66	26	2	interest	interest	NOUN
ejpam-66	26	3	in	in	ADP
ejpam-66	26	4	this	this	DET
ejpam-66	26	5	work	work	NOUN
ejpam-66	26	6	has	have	AUX
ejpam-66	26	7	been	be	AUX
ejpam-66	26	8	motivated	motivate	VERB
ejpam-66	26	9	by	by	ADP
ejpam-66	26	10	the	the	DET
ejpam-66	26	11	work	work	NOUN
ejpam-66	26	12	of	of	ADP
ejpam-66	26	13	chiam	chiam	PROPN
ejpam-66	27	1	[	[	X
ejpam-66	27	2	10	10	NUM
ejpam-66	27	3	]	]	PUNCT
ejpam-66	27	4	,	,	PUNCT
ejpam-66	27	5	who	who	PRON
ejpam-66	27	6	have	have	AUX
ejpam-66	27	7	considered	consider	VERB
ejpam-66	27	8	the	the	DET
ejpam-66	27	9	flow	flow	NOUN
ejpam-66	27	10	over	over	ADP
ejpam-66	27	11	an	an	DET
ejpam-66	27	12	impermeable	impermeable	ADJ
ejpam-66	27	13	flat	flat	ADJ
ejpam-66	27	14	plate	plate	NOUN
ejpam-66	27	15	,	,	PUNCT
ejpam-66	27	16	for	for	ADP
ejpam-66	27	17	which	which	PRON
ejpam-66	27	18	similarity	similarity	NOUN
ejpam-66	27	19	solutions	solution	NOUN
ejpam-66	27	20	were	be	AUX
ejpam-66	27	21	found	find	VERB
ejpam-66	27	22	via	via	ADP
ejpam-66	27	23	the	the	DET
ejpam-66	27	24	crocco	crocco	NOUN
ejpam-66	27	25	transformation	transformation	NOUN
ejpam-66	27	26	.	.	PUNCT
ejpam-66	28	1	2	2	X
ejpam-66	28	2	.	.	X
ejpam-66	28	3	derivation	derivation	NOUN
ejpam-66	28	4	of	of	ADP
ejpam-66	28	5	the	the	DET
ejpam-66	28	6	model	model	NOUN
ejpam-66	28	7	consider	consider	VERB
ejpam-66	28	8	a	a	DET
ejpam-66	28	9	steady	steady	ADJ
ejpam-66	28	10	two	two	NUM
ejpam-66	28	11	-	-	PUNCT
ejpam-66	28	12	dimensional	dimensional	ADJ
ejpam-66	28	13	laminar	laminar	ADJ
ejpam-66	28	14	flow	flow	NOUN
ejpam-66	28	15	of	of	ADP
ejpam-66	28	16	an	an	DET
ejpam-66	28	17	incompressible	incompressible	ADJ
ejpam-66	28	18	dilatant	dilatant	NOUN
ejpam-66	28	19	and	and	CCONJ
ejpam-66	28	20	electrically	electrically	ADV
ejpam-66	28	21	conducting	conduct	VERB
ejpam-66	28	22	fluid	fluid	NOUN
ejpam-66	28	23	of	of	ADP
ejpam-66	28	24	density	density	NOUN
ejpam-66	28	25	ρ	ρ	PROPN
ejpam-66	28	26	,	,	PUNCT
ejpam-66	28	27	past	past	ADP
ejpam-66	28	28	a	a	DET
ejpam-66	28	29	semi	semi	ADJ
ejpam-66	28	30	-	-	ADJ
ejpam-66	28	31	infinite	infinite	ADJ
ejpam-66	28	32	flat	flat	ADJ
ejpam-66	28	33	plate	plate	NOUN
ejpam-66	28	34	.	.	PUNCT
ejpam-66	29	1	let	let	AUX
ejpam-66	29	2	(	(	PUNCT
ejpam-66	29	3	x	x	X
ejpam-66	29	4	,	,	PUNCT
ejpam-66	29	5	y	y	PROPN
ejpam-66	29	6	)	)	PUNCT
ejpam-66	29	7	be	be	VERB
ejpam-66	29	8	the	the	DET
ejpam-66	29	9	cartesian	cartesian	ADJ
ejpam-66	29	10	coordinates	coordinate	NOUN
ejpam-66	29	11	of	of	ADP
ejpam-66	29	12	any	any	DET
ejpam-66	29	13	point	point	NOUN
ejpam-66	29	14	in	in	ADP
ejpam-66	29	15	the	the	DET
ejpam-66	29	16	flow	flow	NOUN
ejpam-66	29	17	domain	domain	NOUN
ejpam-66	29	18	,	,	PUNCT
ejpam-66	29	19	where	where	SCONJ
ejpam-66	29	20	x−axis	x−axis	PROPN
ejpam-66	29	21	is	be	AUX
ejpam-66	29	22	along	along	ADP
ejpam-66	29	23	the	the	DET
ejpam-66	29	24	plate	plate	NOUN
ejpam-66	29	25	and	and	CCONJ
ejpam-66	29	26	y−axis	y−axis	NUM
ejpam-66	29	27	is	be	AUX
ejpam-66	29	28	normal	normal	ADJ
ejpam-66	29	29	to	to	ADP
ejpam-66	29	30	it	it	PRON
ejpam-66	29	31	.	.	PUNCT
ejpam-66	30	1	assume	assume	VERB
ejpam-66	30	2	that	that	SCONJ
ejpam-66	30	3	a	a	DET
ejpam-66	30	4	magnetic	magnetic	ADJ
ejpam-66	30	5	field	field	NOUN
ejpam-66	30	6	h(x	h(x	PROPN
ejpam-66	30	7	)	)	PUNCT
ejpam-66	30	8	,	,	PUNCT
ejpam-66	30	9	is	be	AUX
ejpam-66	30	10	applied	apply	VERB
ejpam-66	30	11	normally	normally	ADV
ejpam-66	30	12	to	to	ADP
ejpam-66	30	13	the	the	DET
ejpam-66	30	14	plate	plate	NOUN
ejpam-66	30	15	.	.	PUNCT
ejpam-66	31	1	the	the	DET
ejpam-66	31	2	continuity	continuity	NOUN
ejpam-66	31	3	and	and	CCONJ
ejpam-66	31	4	momentum	momentum	NOUN
ejpam-66	31	5	equations	equation	NOUN
ejpam-66	31	6	can	can	AUX
ejpam-66	31	7	be	be	AUX
ejpam-66	31	8	simplified	simplify	VERB
ejpam-66	31	9	,	,	PUNCT
ejpam-66	31	10	within	within	ADP
ejpam-66	31	11	the	the	DET
ejpam-66	31	12	boundary	boundary	ADJ
ejpam-66	31	13	-	-	PUNCT
ejpam-66	31	14	layer	layer	NOUN
ejpam-66	31	15	approximation	approximation	NOUN
ejpam-66	31	16	,	,	PUNCT
ejpam-66	31	17	into	into	ADP
ejpam-66	31	18	the	the	DET
ejpam-66	31	19	following	follow	VERB
ejpam-66	31	20	equations	equation	NOUN
ejpam-66	31	21	(	(	PUNCT
ejpam-66	31	22	see	see	VERB
ejpam-66	31	23	[	[	X
ejpam-66	31	24	7	7	X
ejpam-66	31	25	]	]	X
ejpam-66	32	1	[	[	X
ejpam-66	32	2	10	10	NUM
ejpam-66	32	3	]	]	PUNCT
ejpam-66	32	4	)	)	PUNCT
ejpam-66	32	5	ux	ux	PROPN
ejpam-66	33	1	+	+	CCONJ
ejpam-66	33	2	vy	vy	X
ejpam-66	33	3	=	=	SYM
ejpam-66	33	4	0	0	NUM
ejpam-66	33	5	,	,	PUNCT
ejpam-66	33	6	(	(	PUNCT
ejpam-66	33	7	2.1	2.1	NUM
ejpam-66	33	8	)	)	PUNCT
ejpam-66	33	9	uux	uux	PROPN
ejpam-66	33	10	+	+	NUM
ejpam-66	33	11	vuy	vuy	X
ejpam-66	33	12	=	=	SYM
ejpam-66	33	13	ν(|uy	ν(|uy	PROPN
ejpam-66	33	14	|n−1uy)y	|n−1uy)y	PROPN
ejpam-66	33	15	+	+	CCONJ
ejpam-66	33	16	ueue	ueue	ADJ
ejpam-66	33	17	x	x	SYM
ejpam-66	33	18	+	+	CCONJ
ejpam-66	33	19	σµ2h2	σµ2h2	PROPN
ejpam-66	33	20	ρ	ρ	PROPN
ejpam-66	33	21	(	(	PUNCT
ejpam-66	33	22	ue	ue	INTJ
ejpam-66	33	23	−	−	PROPN
ejpam-66	33	24	u	u	NOUN
ejpam-66	33	25	)	)	PUNCT
ejpam-66	33	26	.	.	PUNCT
ejpam-66	34	1	(	(	PUNCT
ejpam-66	34	2	2.2	2.2	NUM
ejpam-66	34	3	)	)	PUNCT
ejpam-66	34	4	accompanied	accompany	VERB
ejpam-66	34	5	by	by	ADP
ejpam-66	34	6	the	the	DET
ejpam-66	34	7	boundary	boundary	ADJ
ejpam-66	34	8	conditions	condition	NOUN
ejpam-66	34	9	u(x	u(x	NOUN
ejpam-66	34	10	,	,	PUNCT
ejpam-66	34	11	0	0	NUM
ejpam-66	34	12	)	)	PUNCT
ejpam-66	34	13	=	=	SYM
ejpam-66	34	14	uw(x	uw(x	ADJ
ejpam-66	34	15	)	)	PUNCT
ejpam-66	34	16	,	,	PUNCT
ejpam-66	34	17	v(x	v(x	PRON
ejpam-66	34	18	,	,	PUNCT
ejpam-66	34	19	0	0	NUM
ejpam-66	34	20	)	)	PUNCT
ejpam-66	34	21	=	=	SYM
ejpam-66	34	22	vw(x	vw(x	NUM
ejpam-66	34	23	)	)	PUNCT
ejpam-66	34	24	and	and	CCONJ
ejpam-66	34	25	u(x	u(x	NOUN
ejpam-66	34	26	,	,	PUNCT
ejpam-66	34	27	y)→	y)→	PROPN
ejpam-66	34	28	ue(x	ue(x	PUNCT
ejpam-66	34	29	)	)	PUNCT
ejpam-66	34	30	as	as	ADP
ejpam-66	34	31	y	y	PROPN
ejpam-66	34	32	→∞.	→∞.	PROPN
ejpam-66	34	33	(	(	PUNCT
ejpam-66	34	34	2.3	2.3	NUM
ejpam-66	34	35	)	)	PUNCT
ejpam-66	34	36	where	where	SCONJ
ejpam-66	34	37	the	the	DET
ejpam-66	34	38	functions	function	NOUN
ejpam-66	34	39	u	u	NOUN
ejpam-66	34	40	and	and	CCONJ
ejpam-66	34	41	v	v	NOUN
ejpam-66	34	42	are	be	AUX
ejpam-66	34	43	the	the	DET
ejpam-66	34	44	velocity	velocity	NOUN
ejpam-66	34	45	components	component	NOUN
ejpam-66	34	46	in	in	ADP
ejpam-66	34	47	the	the	DET
ejpam-66	34	48	x	x	NOUN
ejpam-66	34	49	and	and	CCONJ
ejpam-66	34	50	y	y	PROPN
ejpam-66	34	51	directions	direction	NOUN
ejpam-66	34	52	respectively	respectively	ADV
ejpam-66	34	53	,	,	PUNCT
ejpam-66	34	54	ue(x	ue(x	PUNCT
ejpam-66	34	55	)	)	PUNCT
ejpam-66	35	1	=	=	PRON
ejpam-66	35	2	u∞xm	u∞xm	ADJ
ejpam-66	35	3	is	be	AUX
ejpam-66	35	4	the	the	DET
ejpam-66	35	5	free	free	ADJ
ejpam-66	35	6	-	-	PUNCT
ejpam-66	35	7	stream	stream	NOUN
ejpam-66	35	8	velocity	velocity	NOUN
ejpam-66	35	9	.	.	PUNCT
ejpam-66	36	1	the	the	DET
ejpam-66	36	2	parameters	parameter	NOUN
ejpam-66	36	3	ν	ν	PROPN
ejpam-66	36	4	,	,	PUNCT
ejpam-66	36	5	n,µ,σ	n,µ,σ	PROPN
ejpam-66	36	6	and	and	CCONJ
ejpam-66	36	7	h	h	NOUN
ejpam-66	36	8	are	be	AUX
ejpam-66	36	9	the	the	DET
ejpam-66	36	10	kinematic	kinematic	ADJ
ejpam-66	36	11	viscosity	viscosity	NOUN
ejpam-66	36	12	,	,	PUNCT
ejpam-66	36	13	the	the	DET
ejpam-66	36	14	flow	flow	NOUN
ejpam-66	36	15	behavior	behavior	NOUN
ejpam-66	36	16	index	index	NOUN
ejpam-66	36	17	,	,	PUNCT
ejpam-66	36	18	the	the	DET
ejpam-66	36	19	magnetic	magnetic	ADJ
ejpam-66	36	20	permeability	permeability	NOUN
ejpam-66	36	21	,	,	PUNCT
ejpam-66	36	22	the	the	DET
ejpam-66	36	23	electrical	electrical	ADJ
ejpam-66	36	24	conductivity	conductivity	NOUN
ejpam-66	36	25	of	of	ADP
ejpam-66	36	26	the	the	DET
ejpam-66	36	27	fluid	fluid	NOUN
ejpam-66	36	28	,	,	PUNCT
ejpam-66	36	29	and	and	CCONJ
ejpam-66	36	30	the	the	DET
ejpam-66	36	31	magnetic	magnetic	ADJ
ejpam-66	36	32	field	field	NOUN
ejpam-66	36	33	intensity	intensity	NOUN
ejpam-66	36	34	respectively	respectively	ADV
ejpam-66	36	35	.	.	PUNCT
ejpam-66	37	1	the	the	DET
ejpam-66	37	2	functions	function	NOUN
ejpam-66	37	3	uw(x	uw(x	ADJ
ejpam-66	37	4	)	)	PUNCT
ejpam-66	37	5	=	=	SYM
ejpam-66	37	6	uw	uw	PROPN
ejpam-66	37	7	xm(uw	xm(uw	PROPN
ejpam-66	37	8	>	>	X
ejpam-66	37	9	0	0	NUM
ejpam-66	37	10	)	)	PUNCT
ejpam-66	37	11	and	and	CCONJ
ejpam-66	37	12	vw(x	vw(x	NUM
ejpam-66	37	13	)	)	PUNCT
ejpam-66	38	1	=	=	SYM
ejpam-66	39	1	vw	vw	NOUN
ejpam-66	39	2	x	x	PUNCT
ejpam-66	39	3	m(2n−1)−n	m(2n−1)−n	NOUN
ejpam-66	39	4	n+1	n+1	NUM
ejpam-66	39	5	are	be	AUX
ejpam-66	39	6	the	the	DET
ejpam-66	39	7	stretching	stretching	NOUN
ejpam-66	39	8	and	and	CCONJ
ejpam-66	39	9	the	the	DET
ejpam-66	39	10	suction	suction	NOUN
ejpam-66	39	11	/	/	SYM
ejpam-66	39	12	injection	injection	NOUN
ejpam-66	39	13	velocities	velocity	NOUN
ejpam-66	39	14	respectively	respectively	ADV
ejpam-66	39	15	.	.	PUNCT
ejpam-66	40	1	in	in	ADP
ejpam-66	40	2	term	term	NOUN
ejpam-66	40	3	of	of	ADP
ejpam-66	40	4	the	the	DET
ejpam-66	40	5	stream	stream	NOUN
ejpam-66	40	6	-	-	PUNCT
ejpam-66	40	7	function	function	NOUN
ejpam-66	40	8	(	(	PUNCT
ejpam-66	40	9	ψ	ψ	X
ejpam-66	40	10	which	which	PRON
ejpam-66	40	11	satisfied	satisfy	VERB
ejpam-66	40	12	u(x	u(x	NOUN
ejpam-66	40	13	,	,	PUNCT
ejpam-66	40	14	y	y	NOUN
ejpam-66	40	15	)	)	PUNCT
ejpam-66	40	16	=	=	SYM
ejpam-66	40	17	ψy(x	ψy(x	X
ejpam-66	40	18	,	,	PUNCT
ejpam-66	40	19	y	y	PROPN
ejpam-66	40	20	)	)	PUNCT
ejpam-66	40	21	and	and	CCONJ
ejpam-66	40	22	v(x	v(x	PROPN
ejpam-66	40	23	,	,	PUNCT
ejpam-66	40	24	y	y	PROPN
ejpam-66	40	25	)	)	PUNCT
ejpam-66	40	26	=	=	PUNCT
ejpam-66	40	27	−ψx(x	−ψx(x	X
ejpam-66	40	28	,	,	PUNCT
ejpam-66	40	29	y	y	NOUN
ejpam-66	40	30	)	)	PUNCT
ejpam-66	40	31	)	)	PUNCT
ejpam-66	40	32	,	,	PUNCT
ejpam-66	40	33	equations	equation	NOUN
ejpam-66	40	34	(	(	PUNCT
ejpam-66	40	35	2.1),(2.2	2.1),(2.2	NUM
ejpam-66	40	36	)	)	PUNCT
ejpam-66	40	37	can	can	AUX
ejpam-66	40	38	be	be	AUX
ejpam-66	40	39	reduced	reduce	VERB
ejpam-66	40	40	to	to	ADP
ejpam-66	40	41	the	the	DET
ejpam-66	40	42	single	single	ADJ
ejpam-66	40	43	equation	equation	NOUN
ejpam-66	40	44	ψyψx	ψyψx	NOUN
ejpam-66	40	45	y	y	PROPN
ejpam-66	40	46	−ψxψy	−ψxψy	PROPN
ejpam-66	40	47	y	y	PROPN
ejpam-66	40	48	=	=	PUNCT
ejpam-66	40	49	ν(|ψy	ν(|ψy	PROPN
ejpam-66	40	50	y	y	PROPN
ejpam-66	40	51	|n−1ψy	|n−1ψy	NOUN
ejpam-66	40	52	y)y	y)y	PROPN
ejpam-66	40	53	+	+	NUM
ejpam-66	40	54	ueue	ueue	ADJ
ejpam-66	40	55	x	x	SYM
ejpam-66	40	56	+	+	CCONJ
ejpam-66	40	57	σµ2h2	σµ2h2	PROPN
ejpam-66	40	58	ρ	ρ	PROPN
ejpam-66	40	59	(	(	PUNCT
ejpam-66	40	60	ue	ue	PROPN
ejpam-66	40	61	−ψy	−ψy	PROPN
ejpam-66	40	62	)	)	PUNCT
ejpam-66	40	63	,	,	PUNCT
ejpam-66	40	64	(	(	PUNCT
ejpam-66	40	65	2.4	2.4	NUM
ejpam-66	40	66	)	)	PUNCT
ejpam-66	40	67	subject	subject	NOUN
ejpam-66	40	68	to	to	ADP
ejpam-66	40	69	ψy(x	ψy(x	NUM
ejpam-66	40	70	,	,	PUNCT
ejpam-66	40	71	0	0	NUM
ejpam-66	40	72	)	)	PUNCT
ejpam-66	40	73	=	=	SYM
ejpam-66	40	74	uw	uw	PROPN
ejpam-66	40	75	xm	xm	PROPN
ejpam-66	40	76	,	,	PUNCT
ejpam-66	40	77	ψx(x	ψx(x	PUNCT
ejpam-66	40	78	,	,	PUNCT
ejpam-66	40	79	0	0	X
ejpam-66	40	80	)	)	PUNCT
ejpam-66	41	1	=	=	NOUN
ejpam-66	41	2	−vw	−vw	X
ejpam-66	41	3	x	x	X
ejpam-66	41	4	m(2n−1)−n	m(2n−1)−n	NOUN
ejpam-66	41	5	n+1	n+1	ADJ
ejpam-66	41	6	and	and	CCONJ
ejpam-66	41	7	ψy(x	ψy(x	NUM
ejpam-66	41	8	,	,	PUNCT
ejpam-66	41	9	y	y	PROPN
ejpam-66	41	10	)	)	PUNCT
ejpam-66	41	11	=	=	PRON
ejpam-66	41	12	u∞xm	u∞xm	ADJ
ejpam-66	41	13	as	as	ADP
ejpam-66	41	14	y	y	PROPN
ejpam-66	41	15	→∞.	→∞.	PROPN
ejpam-66	41	16	(	(	PUNCT
ejpam-66	41	17	2.5	2.5	NUM
ejpam-66	41	18	)	)	PUNCT
ejpam-66	41	19	zakia	zakia	NOUN
ejpam-66	41	20	hammouch	hammouch	ADJ
ejpam-66	41	21	/	/	SYM
ejpam-66	41	22	eur	eur	NOUN
ejpam-66	41	23	.	.	PUNCT
ejpam-66	42	1	j.	j.	PROPN
ejpam-66	42	2	pure	pure	PROPN
ejpam-66	42	3	appl	appl	PROPN
ejpam-66	42	4	.	.	PROPN
ejpam-66	42	5	math	math	PROPN
ejpam-66	42	6	,	,	PUNCT
ejpam-66	42	7	1	1	NUM
ejpam-66	42	8	(	(	PUNCT
ejpam-66	42	9	2008	2008	NUM
ejpam-66	42	10	)	)	PUNCT
ejpam-66	42	11	,	,	PUNCT
ejpam-66	42	12	(	(	PUNCT
ejpam-66	42	13	11	11	NUM
ejpam-66	42	14	-	-	SYM
ejpam-66	42	15	20	20	NUM
ejpam-66	42	16	)	)	PUNCT
ejpam-66	42	17	13	13	NUM
ejpam-66	42	18	according	accord	VERB
ejpam-66	42	19	to	to	ADP
ejpam-66	42	20	sapunkov	sapunkov	NOUN
ejpam-66	42	21	[	[	X
ejpam-66	42	22	7	7	NUM
ejpam-66	42	23	]	]	PUNCT
ejpam-66	42	24	,	,	PUNCT
ejpam-66	42	25	similarity	similarity	NOUN
ejpam-66	42	26	solutions	solution	NOUN
ejpam-66	42	27	for	for	ADP
ejpam-66	42	28	problem	problem	NOUN
ejpam-66	42	29	(	(	PUNCT
ejpam-66	42	30	2.4),(2.5	2.4),(2.5	X
ejpam-66	42	31	)	)	PUNCT
ejpam-66	42	32	exist	exist	VERB
ejpam-66	42	33	only	only	ADV
ejpam-66	42	34	if	if	SCONJ
ejpam-66	42	35	the	the	DET
ejpam-66	42	36	magnetic	magnetic	ADJ
ejpam-66	42	37	field	field	NOUN
ejpam-66	42	38	has	have	VERB
ejpam-66	42	39	the	the	DET
ejpam-66	42	40	following	follow	VERB
ejpam-66	42	41	form	form	NOUN
ejpam-66	42	42	h(x)∼	h(x)∼	PROPN
ejpam-66	42	43	x	x	SYM
ejpam-66	42	44	m−1	m−1	PROPN
ejpam-66	42	45	2	2	NUM
ejpam-66	42	46	.	.	PUNCT
ejpam-66	43	1	to	to	PART
ejpam-66	43	2	look	look	VERB
ejpam-66	43	3	for	for	ADP
ejpam-66	43	4	similarity	similarity	NOUN
ejpam-66	43	5	solutions	solution	NOUN
ejpam-66	43	6	we	we	PRON
ejpam-66	43	7	define	define	VERB
ejpam-66	43	8	the	the	DET
ejpam-66	43	9	following	follow	VERB
ejpam-66	43	10	η	η	PROPN
ejpam-66	43	11	:	:	PUNCT
ejpam-66	43	12	=	=	SYM
ejpam-66	43	13	ay	ay	X
ejpam-66	43	14	x−a	x−a	PROPN
ejpam-66	43	15	and	and	CCONJ
ejpam-66	43	16	ψ(x	ψ(x	PROPN
ejpam-66	43	17	,	,	PUNCT
ejpam-66	43	18	y	y	PROPN
ejpam-66	43	19	)	)	PUNCT
ejpam-66	44	1	:	:	PUNCT
ejpam-66	45	1	=	=	PUNCT
ejpam-66	45	2	bx	bx	X
ejpam-66	45	3	b	b	PROPN
ejpam-66	45	4	f	f	PROPN
ejpam-66	45	5	(	(	PUNCT
ejpam-66	45	6	η	η	PROPN
ejpam-66	45	7	)	)	PUNCT
ejpam-66	45	8	,	,	PUNCT
ejpam-66	45	9	(	(	PUNCT
ejpam-66	45	10	2.6	2.6	NUM
ejpam-66	45	11	)	)	PUNCT
ejpam-66	45	12	where	where	SCONJ
ejpam-66	45	13	f	f	PROPN
ejpam-66	45	14	is	be	AUX
ejpam-66	45	15	the	the	DET
ejpam-66	45	16	transformed	transform	VERB
ejpam-66	45	17	dimensionless	dimensionless	NOUN
ejpam-66	45	18	stream	stream	NOUN
ejpam-66	45	19	function	function	NOUN
ejpam-66	45	20	and	and	CCONJ
ejpam-66	45	21	η	η	PROPN
ejpam-66	45	22	is	be	AUX
ejpam-66	45	23	the	the	DET
ejpam-66	45	24	similarity	similarity	NOUN
ejpam-66	45	25	variable	variable	NOUN
ejpam-66	45	26	.	.	PUNCT
ejpam-66	46	1	thanks	thank	NOUN
ejpam-66	46	2	to	to	ADP
ejpam-66	46	3	(	(	PUNCT
ejpam-66	46	4	2.6	2.6	NUM
ejpam-66	46	5	)	)	PUNCT
ejpam-66	46	6	,	,	PUNCT
ejpam-66	46	7	the	the	DET
ejpam-66	46	8	function	function	NOUN
ejpam-66	46	9	f	f	PROPN
ejpam-66	46	10	satisfies	satisfy	VERB
ejpam-66	46	11	the	the	DET
ejpam-66	46	12	new	new	ADJ
ejpam-66	46	13	boundary	boundary	ADJ
ejpam-66	46	14	value	value	NOUN
ejpam-66	46	15	problem	problem	NOUN
ejpam-66	46	16			PROPN
ejpam-66	46	17			ADJ
ejpam-66	46	18			NOUN
ejpam-66	46	19	(	(	PUNCT
ejpam-66	46	20	|	|	ADV
ejpam-66	46	21	f	f	PROPN
ejpam-66	46	22	′′|n−1	′′|n−1	PROPN
ejpam-66	46	23	f	f	PROPN
ejpam-66	46	24	′′)′+	′′)′+	PROPN
ejpam-66	46	25	a	a	DET
ejpam-66	46	26	f	f	PROPN
ejpam-66	46	27	f	f	PROPN
ejpam-66	46	28	′′+m(1−	′′+m(1−	X
ejpam-66	46	29	f	f	PROPN
ejpam-66	46	30	′2	′2	X
ejpam-66	46	31	)	)	PUNCT
ejpam-66	47	1	+	+	NOUN
ejpam-66	47	2	m(1−	m(1−	PROPN
ejpam-66	47	3	f	f	PROPN
ejpam-66	47	4	′	′	NOUN
ejpam-66	47	5	)	)	PUNCT
ejpam-66	47	6	=	=	SYM
ejpam-66	47	7	0	0	NUM
ejpam-66	47	8	,	,	PUNCT
ejpam-66	47	9	f	f	X
ejpam-66	47	10	(	(	PUNCT
ejpam-66	47	11	0	0	NUM
ejpam-66	47	12	)	)	PUNCT
ejpam-66	47	13	=	=	SYM
ejpam-66	47	14	α	α	PROPN
ejpam-66	47	15	,	,	PUNCT
ejpam-66	47	16	f	f	PROPN
ejpam-66	47	17	′(0	′(0	PROPN
ejpam-66	47	18	)	)	PUNCT
ejpam-66	48	1	=	=	SYM
ejpam-66	48	2	δ	δ	PROPN
ejpam-66	48	3	,	,	PUNCT
ejpam-66	48	4	f	f	PROPN
ejpam-66	48	5	′(∞	′(∞	NUM
ejpam-66	48	6	)	)	PUNCT
ejpam-66	48	7	=	=	SYM
ejpam-66	48	8	1	1	NUM
ejpam-66	48	9	,	,	PUNCT
ejpam-66	48	10	(	(	PUNCT
ejpam-66	48	11	2.7	2.7	NUM
ejpam-66	48	12	)	)	PUNCT
ejpam-66	48	13	if	if	SCONJ
ejpam-66	48	14	and	and	CCONJ
ejpam-66	48	15	only	only	ADV
ejpam-66	48	16	if	if	SCONJ
ejpam-66	48	17	a	a	PRON
ejpam-66	48	18	=	=	SYM
ejpam-66	48	19	1+m(2n−	1+m(2n−	NUM
ejpam-66	48	20	1	1	NUM
ejpam-66	48	21	)	)	PUNCT
ejpam-66	48	22	n+	n+	ADP
ejpam-66	48	23	1	1	NUM
ejpam-66	48	24	,	,	PUNCT
ejpam-66	48	25	b	b	X
ejpam-66	48	26	=	=	SYM
ejpam-66	48	27	1+m(n−	1+m(n−	PROPN
ejpam-66	48	28	2	2	NUM
ejpam-66	48	29	)	)	PUNCT
ejpam-66	48	30	n+	n+	NUM
ejpam-66	48	31	1	1	NUM
ejpam-66	48	32	,	,	PUNCT
ejpam-66	48	33	a−	a−	PROPN
ejpam-66	48	34	b	b	PROPN
ejpam-66	48	35	=	=	SYM
ejpam-66	48	36	m	m	PROPN
ejpam-66	48	37	,	,	PUNCT
ejpam-66	48	38	and	and	CCONJ
ejpam-66	48	39	the	the	DET
ejpam-66	48	40	parameters	parameter	NOUN
ejpam-66	48	41	a	a	DET
ejpam-66	48	42	and	and	CCONJ
ejpam-66	48	43	b	b	NOUN
ejpam-66	48	44	satisfy	satisfy	NOUN
ejpam-66	48	45	ab	ab	PROPN
ejpam-66	48	46	=	=	PUNCT
ejpam-66	48	47	u∞	u∞	PROPN
ejpam-66	48	48	and	and	CCONJ
ejpam-66	48	49	νbn−2a2(n−1	νbn−2a2(n−1	PROPN
ejpam-66	48	50	)	)	PUNCT
ejpam-66	48	51	=	=	SYM
ejpam-66	49	1	1	1	X
ejpam-66	49	2	.	.	PUNCT
ejpam-66	49	3	where	where	SCONJ
ejpam-66	49	4	the	the	DET
ejpam-66	49	5	primes	prime	NOUN
ejpam-66	49	6	denote	denote	VERB
ejpam-66	49	7	differentiation	differentiation	NOUN
ejpam-66	49	8	with	with	ADP
ejpam-66	49	9	respect	respect	NOUN
ejpam-66	49	10	to	to	ADP
ejpam-66	49	11	η	η	PROPN
ejpam-66	49	12	,	,	PUNCT
ejpam-66	49	13	the	the	DET
ejpam-66	49	14	function	function	NOUN
ejpam-66	49	15	f	f	PROPN
ejpam-66	49	16	′(η	′(η	NOUN
ejpam-66	49	17	)	)	PUNCT
ejpam-66	49	18	denotes	denote	VERB
ejpam-66	49	19	the	the	DET
ejpam-66	49	20	normalized	normalized	ADJ
ejpam-66	49	21	velocity	velocity	NOUN
ejpam-66	49	22	and	and	CCONJ
ejpam-66	49	23	the	the	DET
ejpam-66	49	24	parameters	parameter	NOUN
ejpam-66	49	25	m	m	VERB
ejpam-66	49	26	=	=	SYM
ejpam-66	49	27	σµ2h2	σµ2h2	ADJ
ejpam-66	49	28	0(n+	0(n+	NOUN
ejpam-66	49	29	1	1	NUM
ejpam-66	49	30	)	)	PUNCT
ejpam-66	49	31	u∞ρ	u∞ρ	ADJ
ejpam-66	49	32	,	,	PUNCT
ejpam-66	49	33	α=−	α=−	NUM
ejpam-66	49	34	(	(	PUNCT
ejpam-66	49	35	n+	n+	NUM
ejpam-66	49	36	1)vw	1)vw	NUM
ejpam-66	49	37	(	(	PUNCT
ejpam-66	49	38	m+	m+	NOUN
ejpam-66	49	39	1)(νu2n−1	1)(νu2n−1	NUM
ejpam-66	49	40	∞	∞	NUM
ejpam-66	49	41	)	)	PUNCT
ejpam-66	49	42	1	1	NUM
ejpam-66	49	43	n+1	n+1	PROPN
ejpam-66	49	44	and	and	CCONJ
ejpam-66	49	45	δ	δ	PROPN
ejpam-66	49	46	=	=	SYM
ejpam-66	49	47	uw	uw	PROPN
ejpam-66	49	48	u∞	u∞	NOUN
ejpam-66	49	49	,	,	PUNCT
ejpam-66	49	50	are	be	AUX
ejpam-66	49	51	respectively	respectively	ADV
ejpam-66	49	52	:	:	PUNCT
ejpam-66	49	53	the	the	DET
ejpam-66	49	54	hartmann	hartmann	PROPN
ejpam-66	49	55	number	number	NOUN
ejpam-66	49	56	,	,	PUNCT
ejpam-66	49	57	the	the	DET
ejpam-66	49	58	suction	suction	NOUN
ejpam-66	49	59	/	/	SYM
ejpam-66	49	60	injection	injection	NOUN
ejpam-66	49	61	and	and	CCONJ
ejpam-66	49	62	the	the	DET
ejpam-66	49	63	stretching	stretch	VERB
ejpam-66	49	64	parameters	parameter	NOUN
ejpam-66	49	65	.	.	PUNCT
ejpam-66	50	1	such	such	ADJ
ejpam-66	50	2	problems	problem	NOUN
ejpam-66	50	3	have	have	AUX
ejpam-66	50	4	been	be	AUX
ejpam-66	50	5	investigated	investigate	VERB
ejpam-66	50	6	by	by	ADP
ejpam-66	50	7	several	several	ADJ
ejpam-66	50	8	authors	author	NOUN
ejpam-66	50	9	for	for	ADP
ejpam-66	50	10	example	example	NOUN
ejpam-66	50	11	,	,	PUNCT
ejpam-66	50	12	anderson	anderson	PROPN
ejpam-66	50	13	et	et	PROPN
ejpam-66	50	14	al	al	PROPN
ejpam-66	50	15	.	.	PUNCT
ejpam-66	51	1	[	[	X
ejpam-66	51	2	11	11	NUM
ejpam-66	51	3	]	]	PUNCT
ejpam-66	51	4	,	,	PUNCT
ejpam-66	51	5	zhang	zhang	PROPN
ejpam-66	51	6	et	et	PROPN
ejpam-66	51	7	al	al	PROPN
ejpam-66	51	8	.	.	PUNCT
ejpam-66	52	1	[	[	X
ejpam-66	52	2	12	12	NUM
ejpam-66	52	3	]	]	PUNCT
ejpam-66	52	4	and	and	CCONJ
ejpam-66	52	5	kumari	kumari	PROPN
ejpam-66	52	6	and	and	CCONJ
ejpam-66	52	7	nath	nath	NOUN
ejpam-66	52	8	[	[	X
ejpam-66	52	9	13	13	NUM
ejpam-66	52	10	]	]	PUNCT
ejpam-66	52	11	.	.	PUNCT
ejpam-66	53	1	in	in	ADP
ejpam-66	53	2	the	the	DET
ejpam-66	53	3	same	same	ADJ
ejpam-66	53	4	context	context	NOUN
ejpam-66	53	5	,	,	PUNCT
ejpam-66	53	6	chiam	chiam	PROPN
ejpam-66	53	7	[	[	X
ejpam-66	53	8	10	10	NUM
ejpam-66	53	9	]	]	PUNCT
ejpam-66	53	10	studied	study	VERB
ejpam-66	53	11	problem	problem	NOUN
ejpam-66	53	12	(	(	PUNCT
ejpam-66	53	13	2.1)-(2.3	2.1)-(2.3	NUM
ejpam-66	53	14	)	)	PUNCT
ejpam-66	53	15	.	.	PUNCT
ejpam-66	54	1	to	to	PART
ejpam-66	54	2	look	look	VERB
ejpam-66	54	3	for	for	ADP
ejpam-66	54	4	similarity	similarity	NOUN
ejpam-66	54	5	solutions	solution	NOUN
ejpam-66	54	6	,	,	PUNCT
ejpam-66	54	7	he	he	PRON
ejpam-66	54	8	solved	solve	VERB
ejpam-66	54	9	the	the	DET
ejpam-66	54	10	following	follow	VERB
ejpam-66	54	11	boundary	boundary	ADJ
ejpam-66	54	12	value	value	NOUN
ejpam-66	54	13	problem	problem	NOUN
ejpam-66	54	14			NOUN
ejpam-66	54	15			ADP
ejpam-66	54	16			ADJ
ejpam-66	54	17	n|	n|	PROPN
ejpam-66	54	18	f	f	PROPN
ejpam-66	54	19	′′|n−1	′′|n−1	PROPN
ejpam-66	54	20	f	f	PROPN
ejpam-66	54	21	′′′+	′′′+	PROPN
ejpam-66	55	1	f	f	PROPN
ejpam-66	55	2	f	f	PROPN
ejpam-66	55	3	′′+	′′+	PROPN
ejpam-66	55	4	β(1−	β(1−	X
ejpam-66	56	1	f	f	X
ejpam-66	56	2	′2	′2	NOUN
ejpam-66	56	3	)	)	PUNCT
ejpam-66	56	4	+	+	NOUN
ejpam-66	56	5	m(1−	m(1−	PROPN
ejpam-66	56	6	f	f	PROPN
ejpam-66	56	7	′	′	NOUN
ejpam-66	56	8	)	)	PUNCT
ejpam-66	57	1	=	=	SYM
ejpam-66	57	2	0	0	NUM
ejpam-66	57	3	,	,	PUNCT
ejpam-66	57	4	f	f	X
ejpam-66	57	5	(	(	PUNCT
ejpam-66	57	6	0	0	NUM
ejpam-66	57	7	)	)	PUNCT
ejpam-66	57	8	=	=	SYM
ejpam-66	57	9	0	0	NUM
ejpam-66	57	10	,	,	PUNCT
ejpam-66	57	11	f	f	PROPN
ejpam-66	57	12	′(0	′(0	PROPN
ejpam-66	57	13	)	)	PUNCT
ejpam-66	58	1	=	=	SYM
ejpam-66	58	2	0	0	NUM
ejpam-66	58	3	,	,	PUNCT
ejpam-66	58	4	f	f	PROPN
ejpam-66	58	5	′(∞	′(∞	NUM
ejpam-66	58	6	)	)	PUNCT
ejpam-66	58	7	=	=	SYM
ejpam-66	59	1	0	0	X
ejpam-66	59	2	.	.	PUNCT
ejpam-66	60	1	(	(	PUNCT
ejpam-66	60	2	2.8	2.8	NUM
ejpam-66	60	3	)	)	PUNCT
ejpam-66	60	4	where	where	SCONJ
ejpam-66	60	5	β	β	X
ejpam-66	60	6	=	=	SYM
ejpam-66	60	7	m(n+1	m(n+1	NUM
ejpam-66	60	8	)	)	PUNCT
ejpam-66	60	9	(	(	PUNCT
ejpam-66	60	10	2n−1)m+1	2n−1)m+1	NUM
ejpam-66	60	11	.	.	PUNCT
ejpam-66	61	1	we	we	PRON
ejpam-66	61	2	aim	aim	VERB
ejpam-66	61	3	here	here	ADV
ejpam-66	61	4	to	to	PART
ejpam-66	61	5	stress	stress	VERB
ejpam-66	61	6	that	that	SCONJ
ejpam-66	61	7	for	for	ADP
ejpam-66	61	8	n	n	PROPN
ejpam-66	61	9	6=	6=	NUM
ejpam-66	61	10	1	1	NUM
ejpam-66	61	11	,	,	PUNCT
ejpam-66	61	12	equation	equation	NOUN
ejpam-66	61	13	(	(	PUNCT
ejpam-66	61	14	2.7)1	2.7)1	PROPN
ejpam-66	61	15	can	can	AUX
ejpam-66	61	16	be	be	AUX
ejpam-66	61	17	degenerate	degenerate	ADJ
ejpam-66	61	18	at	at	ADP
ejpam-66	61	19	some	some	DET
ejpam-66	61	20	point	point	NOUN
ejpam-66	61	21	ηs	ηs	NOUN
ejpam-66	61	22	for	for	ADP
ejpam-66	61	23	which	which	PRON
ejpam-66	61	24	f	f	PROPN
ejpam-66	61	25	′′(ηs	′′(ηs	NOUN
ejpam-66	61	26	)	)	PUNCT
ejpam-66	61	27	=	=	SYM
ejpam-66	61	28	0	0	PUNCT
ejpam-66	62	1	(	(	PUNCT
ejpam-66	62	2	for	for	ADP
ejpam-66	62	3	more	more	ADJ
ejpam-66	62	4	details	detail	NOUN
ejpam-66	62	5	see	see	VERB
ejpam-66	62	6	[	[	X
ejpam-66	62	7	15	15	NUM
ejpam-66	62	8	]	]	PUNCT
ejpam-66	62	9	)	)	PUNCT
ejpam-66	63	1	and	and	CCONJ
ejpam-66	63	2	then	then	ADV
ejpam-66	63	3	any	any	DET
ejpam-66	63	4	solution	solution	NOUN
ejpam-66	63	5	of	of	ADP
ejpam-66	63	6	(	(	PUNCT
ejpam-66	63	7	2.7	2.7	NUM
ejpam-66	63	8	)	)	PUNCT
ejpam-66	63	9	is	be	AUX
ejpam-66	63	10	not	not	PART
ejpam-66	63	11	necessarily	necessarily	ADV
ejpam-66	63	12	of	of	ADP
ejpam-66	63	13	c3(0,∞	c3(0,∞	NOUN
ejpam-66	63	14	)	)	PUNCT
ejpam-66	63	15	.	.	PUNCT
ejpam-66	64	1	hence	hence	ADV
ejpam-66	64	2	equations	equation	NOUN
ejpam-66	64	3	(	(	PUNCT
ejpam-66	64	4	2.7)1	2.7)1	NUM
ejpam-66	64	5	and	and	CCONJ
ejpam-66	64	6	(	(	PUNCT
ejpam-66	64	7	2.8)1	2.8)1	NUM
ejpam-66	64	8	are	be	AUX
ejpam-66	64	9	not	not	PART
ejpam-66	64	10	equivalent	equivalent	ADJ
ejpam-66	64	11	.	.	PUNCT
ejpam-66	65	1	let	let	VERB
ejpam-66	65	2	us	we	PRON
ejpam-66	65	3	notice	notice	VERB
ejpam-66	65	4	that	that	SCONJ
ejpam-66	65	5	for	for	ADP
ejpam-66	65	6	the	the	DET
ejpam-66	65	7	newtonian	newtonian	ADJ
ejpam-66	65	8	case	case	NOUN
ejpam-66	65	9	(	(	PUNCT
ejpam-66	65	10	n	n	NOUN
ejpam-66	65	11	=	=	SYM
ejpam-66	65	12	1	1	NUM
ejpam-66	65	13	)	)	PUNCT
ejpam-66	65	14	,	,	PUNCT
ejpam-66	65	15	problem	problem	NOUN
ejpam-66	65	16	(	(	PUNCT
ejpam-66	65	17	2.7	2.7	NUM
ejpam-66	65	18	)	)	PUNCT
ejpam-66	65	19	reduces	reduce	VERB
ejpam-66	65	20	to	to	ADP
ejpam-66	65	21	the	the	DET
ejpam-66	65	22	falkner	falkner	PROPN
ejpam-66	65	23	-	-	PUNCT
ejpam-66	65	24	skan	skan	VERB
ejpam-66	65	25	flow	flow	NOUN
ejpam-66	65	26	in	in	ADP
ejpam-66	65	27	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-66	65	28	,	,	PUNCT
ejpam-66	65	29	which	which	PRON
ejpam-66	65	30	has	have	AUX
ejpam-66	65	31	been	be	AUX
ejpam-66	65	32	studied	study	VERB
ejpam-66	65	33	by	by	ADP
ejpam-66	65	34	hildyard	hildyard	PROPN
ejpam-66	66	1	[	[	X
ejpam-66	66	2	17	17	NUM
ejpam-66	66	3	]	]	PUNCT
ejpam-66	66	4	,	,	PUNCT
ejpam-66	66	5	aly	aly	PROPN
ejpam-66	66	6	et	et	PROPN
ejpam-66	66	7	al	al	PROPN
ejpam-66	66	8	.	.	PUNCT
ejpam-66	67	1	[	[	X
ejpam-66	67	2	18	18	NUM
ejpam-66	67	3	]	]	PUNCT
ejpam-66	67	4	and	and	CCONJ
ejpam-66	67	5	hoernel	hoernel	NOUN
ejpam-66	67	6	[	[	X
ejpam-66	67	7	19	19	NUM
ejpam-66	67	8	]	]	PUNCT
ejpam-66	67	9	.	.	PUNCT
ejpam-66	68	1	the	the	DET
ejpam-66	68	2	case	case	NOUN
ejpam-66	68	3	m	m	VERB
ejpam-66	68	4	=	=	ADJ
ejpam-66	68	5	m	m	VERB
ejpam-66	68	6	=	=	SYM
ejpam-66	68	7	0	0	NUM
ejpam-66	68	8	leads	lead	VERB
ejpam-66	68	9	to	to	ADP
ejpam-66	68	10	the	the	DET
ejpam-66	68	11	generalized	generalized	ADJ
ejpam-66	68	12	blasius	blasius	ADJ
ejpam-66	68	13	problem	problem	NOUN
ejpam-66	68	14	(	(	PUNCT
ejpam-66	68	15	see	see	VERB
ejpam-66	68	16	[	[	X
ejpam-66	68	17	20	20	NUM
ejpam-66	68	18	]	]	NUM
ejpam-66	68	19	)	)	PUNCT
ejpam-66	68	20	.	.	PUNCT
ejpam-66	69	1	zakia	zakia	NOUN
ejpam-66	69	2	hammouch	hammouch	PROPN
ejpam-66	69	3	/	/	SYM
ejpam-66	69	4	eur	eur	NOUN
ejpam-66	69	5	.	.	PUNCT
ejpam-66	70	1	j.	j.	PROPN
ejpam-66	70	2	pure	pure	PROPN
ejpam-66	70	3	appl	appl	PROPN
ejpam-66	70	4	.	.	PROPN
ejpam-66	70	5	math	math	PROPN
ejpam-66	70	6	,	,	PUNCT
ejpam-66	70	7	1	1	NUM
ejpam-66	70	8	(	(	PUNCT
ejpam-66	70	9	2008	2008	NUM
ejpam-66	70	10	)	)	PUNCT
ejpam-66	70	11	,	,	PUNCT
ejpam-66	70	12	(	(	PUNCT
ejpam-66	70	13	11	11	NUM
ejpam-66	70	14	-	-	SYM
ejpam-66	70	15	20	20	NUM
ejpam-66	70	16	)	)	PUNCT
ejpam-66	70	17	14	14	NUM
ejpam-66	70	18	while	while	SCONJ
ejpam-66	70	19	the	the	DET
ejpam-66	70	20	case	case	NOUN
ejpam-66	70	21	m	m	VERB
ejpam-66	70	22	=	=	ADJ
ejpam-66	70	23	−m	−m	NOUN
ejpam-66	70	24	,	,	PUNCT
ejpam-66	70	25	by	by	ADP
ejpam-66	70	26	a	a	DET
ejpam-66	70	27	suitable	suitable	ADJ
ejpam-66	70	28	scaling	scaling	NOUN
ejpam-66	70	29	,	,	PUNCT
ejpam-66	70	30	is	be	AUX
ejpam-66	70	31	referred	refer	VERB
ejpam-66	70	32	to	to	ADP
ejpam-66	70	33	the	the	DET
ejpam-66	70	34	mixed	mixed	ADJ
ejpam-66	70	35	convection	convection	NOUN
ejpam-66	70	36	of	of	ADP
ejpam-66	70	37	a	a	DET
ejpam-66	70	38	nonnewtonian	nonnewtonian	NOUN
ejpam-66	70	39	fluid	fluid	NOUN
ejpam-66	70	40	in	in	ADP
ejpam-66	70	41	a	a	DET
ejpam-66	70	42	porous	porous	ADJ
ejpam-66	70	43	medium	medium	NOUN
ejpam-66	70	44	(	(	PUNCT
ejpam-66	70	45	see	see	VERB
ejpam-66	70	46	for	for	ADP
ejpam-66	70	47	example	example	NOUN
ejpam-66	70	48	[	[	X
ejpam-66	70	49	21	21	NUM
ejpam-66	70	50	]	]	PUNCT
ejpam-66	70	51	)	)	PUNCT
ejpam-66	70	52	.	.	PUNCT
ejpam-66	71	1	we	we	PRON
ejpam-66	71	2	note	note	VERB
ejpam-66	71	3	also	also	ADV
ejpam-66	71	4	that	that	SCONJ
ejpam-66	71	5	in	in	ADP
ejpam-66	71	6	absence	absence	NOUN
ejpam-66	71	7	of	of	ADP
ejpam-66	71	8	the	the	DET
ejpam-66	71	9	magnetic	magnetic	ADJ
ejpam-66	71	10	field	field	NOUN
ejpam-66	71	11	,	,	PUNCT
ejpam-66	71	12	problem	problem	NOUN
ejpam-66	71	13	(	(	PUNCT
ejpam-66	71	14	2.7	2.7	NUM
ejpam-66	71	15	)	)	PUNCT
ejpam-66	71	16	is	be	AUX
ejpam-66	71	17	simplified	simplify	VERB
ejpam-66	71	18	to	to	ADP
ejpam-66	71	19	the	the	DET
ejpam-66	71	20	falkner	falkner	PROPN
ejpam-66	71	21	-	-	PUNCT
ejpam-66	71	22	skan	skan	VERB
ejpam-66	71	23	flow	flow	NOUN
ejpam-66	71	24	for	for	ADP
ejpam-66	71	25	non	non	ADJ
ejpam-66	71	26	-	-	ADJ
ejpam-66	71	27	newtonian	newtonian	ADJ
ejpam-66	71	28	fluids	fluid	NOUN
ejpam-66	71	29	.	.	PUNCT
ejpam-66	72	1	a	a	DET
ejpam-66	72	2	complete	complete	ADJ
ejpam-66	72	3	study	study	NOUN
ejpam-66	72	4	on	on	ADP
ejpam-66	72	5	this	this	DET
ejpam-66	72	6	subject	subject	NOUN
ejpam-66	72	7	is	be	AUX
ejpam-66	72	8	given	give	VERB
ejpam-66	72	9	in	in	ADP
ejpam-66	72	10	[	[	X
ejpam-66	72	11	22	22	NUM
ejpam-66	72	12	]	]	PUNCT
ejpam-66	72	13	by	by	ADP
ejpam-66	72	14	denier	denier	NOUN
ejpam-66	72	15	and	and	CCONJ
ejpam-66	72	16	dabrowski	dabrowski	VERB
ejpam-66	72	17	.	.	PUNCT
ejpam-66	73	1	very	very	ADV
ejpam-66	73	2	recently	recently	ADV
ejpam-66	73	3	,	,	PUNCT
ejpam-66	73	4	aly	aly	PROPN
ejpam-66	73	5	et	et	PROPN
ejpam-66	73	6	al	al	PROPN
ejpam-66	73	7	.	.	PUNCT
ejpam-66	74	1	[	[	X
ejpam-66	74	2	18	18	NUM
ejpam-66	74	3	]	]	PUNCT
ejpam-66	74	4	reported	report	VERB
ejpam-66	74	5	a	a	DET
ejpam-66	74	6	theoretical	theoretical	ADJ
ejpam-66	74	7	and	and	CCONJ
ejpam-66	74	8	numerical	numerical	ADJ
ejpam-66	74	9	investigations	investigation	NOUN
ejpam-66	74	10	on	on	ADP
ejpam-66	74	11	the	the	DET
ejpam-66	74	12	existence	existence	NOUN
ejpam-66	74	13	of	of	ADP
ejpam-66	74	14	solutions	solution	NOUN
ejpam-66	74	15	to	to	ADP
ejpam-66	74	16	problem	problem	NOUN
ejpam-66	74	17	(	(	PUNCT
ejpam-66	74	18	2.7	2.7	NUM
ejpam-66	74	19	)	)	PUNCT
ejpam-66	74	20	for	for	ADP
ejpam-66	74	21	newtonian	newtonian	ADJ
ejpam-66	74	22	fluids	fluid	NOUN
ejpam-66	74	23	(	(	PUNCT
ejpam-66	74	24	n=	n=	ADJ
ejpam-66	74	25	1	1	NUM
ejpam-66	74	26	)	)	PUNCT
ejpam-66	74	27	,	,	PUNCT
ejpam-66	74	28	say	say	VERB
ejpam-66	74	29			PROPN
ejpam-66	74	30			PROPN
ejpam-66	74	31			PROPN
ejpam-66	75	1	f	f	PROPN
ejpam-66	76	1	′′′+	′′′+	PROPN
ejpam-66	77	1	m+1	m+1	NUM
ejpam-66	77	2	2	2	NUM
ejpam-66	77	3	f	f	PROPN
ejpam-66	77	4	f	f	PROPN
ejpam-66	77	5	′′+m(1−	′′+m(1−	X
ejpam-66	77	6	f	f	PROPN
ejpam-66	77	7	′2	′2	X
ejpam-66	77	8	)	)	PUNCT
ejpam-66	77	9	+	+	NOUN
ejpam-66	77	10	m(1−	m(1−	PROPN
ejpam-66	77	11	f	f	PROPN
ejpam-66	77	12	′	′	NOUN
ejpam-66	77	13	)	)	PUNCT
ejpam-66	77	14	=	=	SYM
ejpam-66	77	15	0	0	NUM
ejpam-66	77	16	,	,	PUNCT
ejpam-66	77	17	f	f	X
ejpam-66	77	18	(	(	PUNCT
ejpam-66	77	19	0	0	NUM
ejpam-66	77	20	)	)	PUNCT
ejpam-66	77	21	=	=	NOUN
ejpam-66	77	22	α≥	α≥	NOUN
ejpam-66	77	23	0	0	NUM
ejpam-66	77	24	,	,	PUNCT
ejpam-66	77	25	f	f	PROPN
ejpam-66	77	26	′(0	′(0	PROPN
ejpam-66	77	27	)	)	PUNCT
ejpam-66	77	28	=	=	SYM
ejpam-66	77	29	δ	δ	PROPN
ejpam-66	77	30	,	,	PUNCT
ejpam-66	77	31	f	f	PROPN
ejpam-66	77	32	′′(0	′′(0	PRON
ejpam-66	77	33	)	)	PUNCT
ejpam-66	77	34	=	=	SYM
ejpam-66	77	35	γ	γ	X
ejpam-66	77	36	.	.	PROPN
ejpam-66	78	1	(	(	PUNCT
ejpam-66	78	2	2.9	2.9	NUM
ejpam-66	78	3	)	)	PUNCT
ejpam-66	78	4	they	they	PRON
ejpam-66	78	5	showed	show	VERB
ejpam-66	78	6	that	that	DET
ejpam-66	78	7	problem	problem	NOUN
ejpam-66	78	8	(	(	PUNCT
ejpam-66	78	9	2.9	2.9	NUM
ejpam-66	78	10	)	)	PUNCT
ejpam-66	78	11	has	have	VERB
ejpam-66	78	12	multiple	multiple	ADJ
ejpam-66	78	13	solutions	solution	NOUN
ejpam-66	78	14	for	for	ADP
ejpam-66	78	15	any	any	DET
ejpam-66	78	16	δ	δ	PROPN
ejpam-66	78	17	∈	∈	PROPN
ejpam-66	78	18	(	(	PUNCT
ejpam-66	78	19	0,γ	0,γ	NUM
ejpam-66	78	20	)	)	PUNCT
ejpam-66	78	21	and	and	CCONJ
ejpam-66	78	22	γ	γ	X
ejpam-66	78	23	∈	∈	NOUN
ejpam-66	78	24	r	r	NOUN
ejpam-66	78	25	satisfying	satisfy	VERB
ejpam-66	78	26	γ2	γ2	NOUN
ejpam-66	78	27	≤	≤	NUM
ejpam-66	78	28	2	2	NUM
ejpam-66	78	29	m	m	NOUN
ejpam-66	78	30	3	3	NUM
ejpam-66	78	31	δ3+mδ2−	δ3+mδ2−	NOUN
ejpam-66	78	32	2(m	2(m	NUM
ejpam-66	79	1	+	+	ADP
ejpam-66	79	2	m)δ	m)δ	ADJ
ejpam-66	79	3	,	,	PUNCT
ejpam-66	79	4	(	(	PUNCT
ejpam-66	79	5	2.10	2.10	NUM
ejpam-66	79	6	)	)	PUNCT
ejpam-66	79	7	where	where	SCONJ
ejpam-66	79	8	γ	γ	X
ejpam-66	79	9	=	=	SYM
ejpam-66	79	10	−	−	PROPN
ejpam-66	80	1	3	3	NUM
ejpam-66	80	2	m	m	NOUN
ejpam-66	80	3	4	4	NUM
ejpam-66	80	4	m	m	NOUN
ejpam-66	80	5			NOUN
ejpam-66	80	6	1	1	NOUN
ejpam-66	80	7	+	+	CCONJ
ejpam-66	80	8	r	r	NOUN
ejpam-66	80	9	1	1	NUM
ejpam-66	80	10	+	+	NUM
ejpam-66	80	11	16	16	NUM
ejpam-66	80	12	m	m	NOUN
ejpam-66	80	13	3m2	3m2	NUM
ejpam-66	80	14	(	(	PUNCT
ejpam-66	80	15	m+m	m+m	NUM
ejpam-66	80	16	)	)	PUNCT
ejpam-66	80	17			PROPN
ejpam-66	80	18			PROPN
ejpam-66	80	19	>	>	SYM
ejpam-66	80	20	1	1	NUM
ejpam-66	80	21	.	.	PUNCT
ejpam-66	81	1	in	in	ADP
ejpam-66	81	2	the	the	DET
ejpam-66	81	3	present	present	ADJ
ejpam-66	81	4	work	work	NOUN
ejpam-66	81	5	,	,	PUNCT
ejpam-66	81	6	we	we	PRON
ejpam-66	81	7	aim	aim	VERB
ejpam-66	81	8	to	to	PART
ejpam-66	81	9	extend	extend	VERB
ejpam-66	81	10	their	their	PRON
ejpam-66	81	11	results	result	NOUN
ejpam-66	81	12	to	to	ADP
ejpam-66	81	13	the	the	DET
ejpam-66	81	14	non	non	ADJ
ejpam-66	81	15	-	-	ADJ
ejpam-66	81	16	newtonian	newtonian	ADJ
ejpam-66	81	17	dilatant	dilatant	ADJ
ejpam-66	81	18	fluids	fluid	NOUN
ejpam-66	81	19	(	(	PUNCT
ejpam-66	81	20	n	n	CCONJ
ejpam-66	81	21	>	>	X
ejpam-66	81	22	1	1	NUM
ejpam-66	81	23	)	)	PUNCT
ejpam-66	81	24	,	,	PUNCT
ejpam-66	81	25	by	by	ADP
ejpam-66	81	26	using	use	VERB
ejpam-66	81	27	a	a	DET
ejpam-66	81	28	condition	condition	NOUN
ejpam-66	81	29	on	on	ADP
ejpam-66	81	30	γ	γ	NOUN
ejpam-66	81	31	which	which	PRON
ejpam-66	81	32	is	be	AUX
ejpam-66	81	33	different	different	ADJ
ejpam-66	81	34	from	from	ADP
ejpam-66	81	35	(	(	PUNCT
ejpam-66	81	36	2.10	2.10	NUM
ejpam-66	81	37	)	)	PUNCT
ejpam-66	81	38	and	and	CCONJ
ejpam-66	81	39	without	without	ADP
ejpam-66	81	40	any	any	DET
ejpam-66	81	41	restriction	restriction	NOUN
ejpam-66	81	42	on	on	ADP
ejpam-66	81	43	the	the	DET
ejpam-66	81	44	parameter	parameter	PROPN
ejpam-66	81	45	δ	δ	PROPN
ejpam-66	81	46	.	.	PUNCT
ejpam-66	82	1	3	3	X
ejpam-66	82	2	.	.	X
ejpam-66	82	3	non	non	ADJ
ejpam-66	82	4	-	-	ADJ
ejpam-66	82	5	uniqueness	uniqueness	NOUN
ejpam-66	82	6	of	of	ADP
ejpam-66	82	7	solutions	solution	NOUN
ejpam-66	82	8	guided	guide	VERB
ejpam-66	82	9	by	by	ADP
ejpam-66	82	10	the	the	DET
ejpam-66	82	11	analysis	analysis	NOUN
ejpam-66	82	12	of	of	ADP
ejpam-66	82	13	[	[	X
ejpam-66	82	14	14	14	NUM
ejpam-66	82	15	]	]	PUNCT
ejpam-66	82	16	,	,	PUNCT
ejpam-66	83	1	[	[	X
ejpam-66	83	2	15	15	NUM
ejpam-66	83	3	]	]	PUNCT
ejpam-66	83	4	and	and	CCONJ
ejpam-66	83	5	[	[	X
ejpam-66	83	6	16	16	NUM
ejpam-66	83	7	]	]	PUNCT
ejpam-66	83	8	,	,	PUNCT
ejpam-66	83	9	we	we	PRON
ejpam-66	83	10	aim	aim	VERB
ejpam-66	83	11	to	to	PART
ejpam-66	83	12	prove	prove	VERB
ejpam-66	83	13	the	the	DET
ejpam-66	83	14	existence	existence	NOUN
ejpam-66	83	15	of	of	ADP
ejpam-66	83	16	solutions	solution	NOUN
ejpam-66	83	17	to	to	ADP
ejpam-66	83	18	problem	problem	NOUN
ejpam-66	83	19	(	(	PUNCT
ejpam-66	83	20	2.7	2.7	NUM
ejpam-66	83	21	)	)	PUNCT
ejpam-66	83	22	,	,	PUNCT
ejpam-66	83	23	for	for	ADP
ejpam-66	83	24	related	related	ADJ
ejpam-66	83	25	values	value	NOUN
ejpam-66	83	26	of	of	ADP
ejpam-66	83	27	the	the	DET
ejpam-66	83	28	parameters	parameter	NOUN
ejpam-66	83	29	m	m	PROPN
ejpam-66	83	30	,	,	PUNCT
ejpam-66	83	31	m	m	PROPN
ejpam-66	83	32	,	,	PUNCT
ejpam-66	83	33	n	n	CCONJ
ejpam-66	83	34	,	,	PUNCT
ejpam-66	83	35	α	α	PROPN
ejpam-66	83	36	,	,	PUNCT
ejpam-66	83	37	δ	δ	PROPN
ejpam-66	83	38	and	and	CCONJ
ejpam-66	83	39	γ	γ	PROPN
ejpam-66	83	40	.	.	PROPN
ejpam-66	84	1	this	this	DET
ejpam-66	84	2	result	result	NOUN
ejpam-66	84	3	will	will	AUX
ejpam-66	84	4	be	be	AUX
ejpam-66	84	5	established	establish	VERB
ejpam-66	84	6	by	by	ADP
ejpam-66	84	7	mean	mean	NOUN
ejpam-66	84	8	of	of	ADP
ejpam-66	84	9	the	the	DET
ejpam-66	84	10	so	so	ADV
ejpam-66	84	11	-	-	PUNCT
ejpam-66	84	12	called	call	VERB
ejpam-66	84	13	shooting	shooting	NOUN
ejpam-66	84	14	method	method	NOUN
ejpam-66	84	15	,	,	PUNCT
ejpam-66	84	16	the	the	DET
ejpam-66	84	17	boundary	boundary	ADJ
ejpam-66	84	18	value	value	NOUN
ejpam-66	84	19	problem	problem	NOUN
ejpam-66	84	20	(	(	PUNCT
ejpam-66	84	21	2.7	2.7	NUM
ejpam-66	84	22	)	)	PUNCT
ejpam-66	84	23	is	be	AUX
ejpam-66	84	24	then	then	ADV
ejpam-66	84	25	converted	convert	VERB
ejpam-66	84	26	into	into	ADP
ejpam-66	84	27	the	the	DET
ejpam-66	84	28	following	follow	VERB
ejpam-66	84	29	initial	initial	ADJ
ejpam-66	84	30	value	value	NOUN
ejpam-66	84	31	problem	problem	NOUN
ejpam-66	84	32			PROPN
ejpam-66	84	33			ADJ
ejpam-66	84	34			NOUN
ejpam-66	84	35	(	(	PUNCT
ejpam-66	84	36	|	|	ADV
ejpam-66	84	37	f	f	PROPN
ejpam-66	84	38	′′|n−1	′′|n−1	PROPN
ejpam-66	84	39	f	f	PROPN
ejpam-66	84	40	′′)′+	′′)′+	PROPN
ejpam-66	84	41	a	a	DET
ejpam-66	84	42	f	f	PROPN
ejpam-66	84	43	f	f	PROPN
ejpam-66	84	44	′′+m(1−	′′+m(1−	X
ejpam-66	84	45	f	f	PROPN
ejpam-66	84	46	′2	′2	X
ejpam-66	84	47	)	)	PUNCT
ejpam-66	85	1	+	+	NOUN
ejpam-66	85	2	m(1−	m(1−	PROPN
ejpam-66	85	3	f	f	PROPN
ejpam-66	85	4	′	′	NOUN
ejpam-66	85	5	)	)	PUNCT
ejpam-66	85	6	=	=	SYM
ejpam-66	85	7	0	0	NUM
ejpam-66	85	8	,	,	PUNCT
ejpam-66	85	9	f	f	X
ejpam-66	85	10	(	(	PUNCT
ejpam-66	85	11	0	0	NUM
ejpam-66	85	12	)	)	PUNCT
ejpam-66	85	13	=	=	SYM
ejpam-66	85	14	α	α	PROPN
ejpam-66	85	15	,	,	PUNCT
ejpam-66	85	16	f	f	PROPN
ejpam-66	85	17	′(0	′(0	PROPN
ejpam-66	85	18	)	)	PUNCT
ejpam-66	85	19	=	=	SYM
ejpam-66	85	20	δ	δ	PROPN
ejpam-66	85	21	,	,	PUNCT
ejpam-66	85	22	f	f	PROPN
ejpam-66	85	23	′′(0	′′(0	PRON
ejpam-66	85	24	)	)	PUNCT
ejpam-66	85	25	=	=	SYM
ejpam-66	85	26	γ	γ	X
ejpam-66	85	27	.	.	PROPN
ejpam-66	85	28	(	(	PUNCT
ejpam-66	85	29	3.1	3.1	NUM
ejpam-66	85	30	)	)	PUNCT
ejpam-66	85	31	where	where	SCONJ
ejpam-66	85	32	the	the	DET
ejpam-66	85	33	real	real	ADJ
ejpam-66	85	34	number	number	NOUN
ejpam-66	85	35	γ	γ	NOUN
ejpam-66	85	36	is	be	AUX
ejpam-66	85	37	the	the	DET
ejpam-66	85	38	shooting	shooting	NOUN
ejpam-66	85	39	parameter	parameter	NOUN
ejpam-66	85	40	.	.	PUNCT
ejpam-66	86	1	the	the	DET
ejpam-66	86	2	initial	initial	ADJ
ejpam-66	86	3	value	value	NOUN
ejpam-66	86	4	problem	problem	NOUN
ejpam-66	86	5	(	(	PUNCT
ejpam-66	86	6	3.1	3.1	NUM
ejpam-66	86	7	)	)	PUNCT
ejpam-66	86	8	can	can	AUX
ejpam-66	86	9	be	be	AUX
ejpam-66	86	10	transformed	transform	VERB
ejpam-66	86	11	into	into	ADP
ejpam-66	86	12	the	the	DET
ejpam-66	86	13	equivalent	equivalent	ADJ
ejpam-66	86	14	first	first	ADJ
ejpam-66	86	15	order	order	NOUN
ejpam-66	86	16	ordinary	ordinary	ADJ
ejpam-66	86	17	differential	differential	ADJ
ejpam-66	86	18	system	system	NOUN
ejpam-66	86	19			PRON
ejpam-66	86	20			VERB
ejpam-66	86	21			PROPN
ejpam-66	86	22			PROPN
ejpam-66	86	23			NOUN
ejpam-66	86	24			PROPN
ejpam-66	86	25			PROPN
ejpam-66	86	26			PROPN
ejpam-66	86	27			NOUN
ejpam-66	86	28	f	f	NOUN
ejpam-66	87	1	′	′	NUM
ejpam-66	87	2	=	=	SYM
ejpam-66	87	3	g	g	NOUN
ejpam-66	87	4	,	,	PUNCT
ejpam-66	87	5	g	g	NOUN
ejpam-66	87	6	′	′	NOUN
ejpam-66	88	1	=	=	PUNCT
ejpam-66	88	2	|h|	|h|	PROPN
ejpam-66	88	3	1−n	1−n	NUM
ejpam-66	88	4	n	n	PRON
ejpam-66	88	5	h	h	NOUN
ejpam-66	88	6	,	,	PUNCT
ejpam-66	88	7	h′	h′	PROPN
ejpam-66	88	8	=	=	PROPN
ejpam-66	88	9	−a	−a	NOUN
ejpam-66	88	10	f	f	PROPN
ejpam-66	88	11	|h|	|h|	PROPN
ejpam-66	88	12	−m(1−	−m(1−	PROPN
ejpam-66	88	13	g2)−m(1−	g2)−m(1−	PROPN
ejpam-66	88	14	g	g	NOUN
ejpam-66	88	15	)	)	PUNCT
ejpam-66	88	16	,	,	PUNCT
ejpam-66	88	17	(	(	PUNCT
ejpam-66	88	18	3.2	3.2	NUM
ejpam-66	88	19	)	)	PUNCT
ejpam-66	88	20	with	with	ADP
ejpam-66	88	21	the	the	DET
ejpam-66	88	22	conditions	condition	NOUN
ejpam-66	88	23	f	f	X
ejpam-66	88	24	(	(	PUNCT
ejpam-66	88	25	0	0	NUM
ejpam-66	88	26	)	)	PUNCT
ejpam-66	88	27	=	=	SYM
ejpam-66	88	28	α	α	PROPN
ejpam-66	88	29	,	,	PUNCT
ejpam-66	88	30	g(0	g(0	NOUN
ejpam-66	88	31	)	)	PUNCT
ejpam-66	88	32	=	=	SYM
ejpam-66	88	33	δ	δ	PROPN
ejpam-66	88	34	,	,	PUNCT
ejpam-66	88	35	h(0	h(0	PROPN
ejpam-66	88	36	)	)	PUNCT
ejpam-66	88	37	=	=	SYM
ejpam-66	88	38	|γ|n−1γ	|γ|n−1γ	NOUN
ejpam-66	88	39	.	.	PUNCT
ejpam-66	89	1	(	(	PUNCT
ejpam-66	89	2	3.3	3.3	NUM
ejpam-66	89	3	)	)	PUNCT
ejpam-66	89	4	zakia	zakia	NOUN
ejpam-66	89	5	hammouch	hammouch	ADJ
ejpam-66	89	6	/	/	SYM
ejpam-66	89	7	eur	eur	NOUN
ejpam-66	89	8	.	.	PUNCT
ejpam-66	90	1	j.	j.	PROPN
ejpam-66	90	2	pure	pure	PROPN
ejpam-66	90	3	appl	appl	PROPN
ejpam-66	90	4	.	.	PROPN
ejpam-66	90	5	math	math	PROPN
ejpam-66	90	6	,	,	PUNCT
ejpam-66	90	7	1	1	NUM
ejpam-66	90	8	(	(	PUNCT
ejpam-66	90	9	2008	2008	NUM
ejpam-66	90	10	)	)	PUNCT
ejpam-66	90	11	,	,	PUNCT
ejpam-66	90	12	(	(	PUNCT
ejpam-66	90	13	11	11	NUM
ejpam-66	90	14	-	-	SYM
ejpam-66	90	15	20	20	NUM
ejpam-66	90	16	)	)	PUNCT
ejpam-66	90	17	15	15	NUM
ejpam-66	90	18	by	by	ADP
ejpam-66	90	19	the	the	DET
ejpam-66	90	20	classical	classical	ADJ
ejpam-66	90	21	theory	theory	NOUN
ejpam-66	90	22	of	of	ADP
ejpam-66	90	23	ordinary	ordinary	ADJ
ejpam-66	90	24	differential	differential	ADJ
ejpam-66	90	25	equations	equation	NOUN
ejpam-66	90	26	,	,	PUNCT
ejpam-66	90	27	problem	problem	NOUN
ejpam-66	90	28	(	(	PUNCT
ejpam-66	90	29	3.2),(3.3	3.2),(3.3	NUM
ejpam-66	90	30	)	)	PUNCT
ejpam-66	90	31	has	have	VERB
ejpam-66	90	32	a	a	DET
ejpam-66	90	33	unique	unique	ADJ
ejpam-66	90	34	local	local	ADJ
ejpam-66	90	35	(	(	PUNCT
ejpam-66	90	36	maximal	maximal	ADJ
ejpam-66	90	37	)	)	PUNCT
ejpam-66	90	38	solution	solution	NOUN
ejpam-66	90	39	for	for	ADP
ejpam-66	90	40	every	every	DET
ejpam-66	90	41	γ	γ	NOUN
ejpam-66	90	42	6=	6=	PROPN
ejpam-66	90	43	0	0	NUM
ejpam-66	90	44	.	.	PUNCT
ejpam-66	91	1	let	let	VERB
ejpam-66	91	2	fγ	fγ	PROPN
ejpam-66	91	3	denotes	denote	NOUN
ejpam-66	91	4	this	this	DET
ejpam-66	91	5	solution	solution	NOUN
ejpam-66	91	6	and	and	CCONJ
ejpam-66	91	7	(	(	PUNCT
ejpam-66	91	8	0,ηγ	0,ηγ	PROPN
ejpam-66	91	9	)	)	PUNCT
ejpam-66	91	10	,	,	PUNCT
ejpam-66	91	11	ηγ	ηγ	PROPN
ejpam-66	91	12	≤	≤	NUM
ejpam-66	91	13	∞	∞	PROPN
ejpam-66	91	14	,	,	PUNCT
ejpam-66	91	15	denotes	denote	VERB
ejpam-66	91	16	its	its	PRON
ejpam-66	91	17	maximal	maximal	ADJ
ejpam-66	91	18	interval	interval	NOUN
ejpam-66	91	19	of	of	ADP
ejpam-66	91	20	existence	existence	NOUN
ejpam-66	91	21	.	.	PUNCT
ejpam-66	92	1	the	the	DET
ejpam-66	92	2	main	main	ADJ
ejpam-66	92	3	task	task	NOUN
ejpam-66	92	4	now	now	ADV
ejpam-66	92	5	is	be	AUX
ejpam-66	92	6	to	to	PART
ejpam-66	92	7	show	show	VERB
ejpam-66	92	8	how	how	SCONJ
ejpam-66	92	9	existence	existence	NOUN
ejpam-66	92	10	of	of	ADP
ejpam-66	92	11	solutions	solution	NOUN
ejpam-66	92	12	depends	depend	VERB
ejpam-66	92	13	on	on	ADP
ejpam-66	92	14	γ	γ	PROPN
ejpam-66	92	15	.	.	PUNCT
ejpam-66	93	1	the	the	DET
ejpam-66	93	2	local	local	ADJ
ejpam-66	93	3	solution	solution	NOUN
ejpam-66	93	4	fγ	fγ	ADV
ejpam-66	93	5	satisfies	satisfy	VERB
ejpam-66	93	6	the	the	DET
ejpam-66	93	7	following	follow	VERB
ejpam-66	93	8	|	|	ADV
ejpam-66	93	9	f	f	PROPN
ejpam-66	93	10	′′γ|	′′γ|	PROPN
ejpam-66	93	11	n−1	n−1	PROPN
ejpam-66	93	12	f	f	PROPN
ejpam-66	93	13	′′γ	′′γ	NOUN
ejpam-66	94	1	+	+	CCONJ
ejpam-66	94	2	a	a	DET
ejpam-66	94	3	f	f	NOUN
ejpam-66	94	4	′γ	′γ	VERB
ejpam-66	94	5	fγ−m	fγ−m	PROPN
ejpam-66	94	6	(	(	PUNCT
ejpam-66	94	7	fγ+α	fγ+α	NOUN
ejpam-66	94	8	)	)	PUNCT
ejpam-66	94	9	=	=	SYM
ejpam-66	94	10	|γ|n−1γ+	|γ|n−1γ+	ADJ
ejpam-66	94	11	aαδ−	aαδ−	PROPN
ejpam-66	94	12	(	(	PUNCT
ejpam-66	94	13	m	m	PROPN
ejpam-66	94	14	+	+	PROPN
ejpam-66	94	15	m)η+(a+m	m)η+(a+m	NOUN
ejpam-66	94	16	)	)	PUNCT
ejpam-66	94	17	∫	∫	PROPN
ejpam-66	94	18	0	0	PROPN
ejpam-66	94	19	η	η	PROPN
ejpam-66	94	20	f	f	PROPN
ejpam-66	94	21	′γ	′γ	ADJ
ejpam-66	94	22	2(τ)dτ	2(τ)dτ	NUM
ejpam-66	94	23	.	.	PUNCT
ejpam-66	95	1	(	(	PUNCT
ejpam-66	95	2	3.4	3.4	NUM
ejpam-66	95	3	)	)	PUNCT
ejpam-66	95	4	equation	equation	NOUN
ejpam-66	95	5	(	(	PUNCT
ejpam-66	95	6	3.4	3.4	NUM
ejpam-66	95	7	)	)	PUNCT
ejpam-66	95	8	will	will	AUX
ejpam-66	95	9	be	be	AUX
ejpam-66	95	10	used	use	VERB
ejpam-66	95	11	for	for	ADP
ejpam-66	95	12	proving	prove	VERB
ejpam-66	95	13	the	the	DET
ejpam-66	95	14	main	main	ADJ
ejpam-66	95	15	results	result	NOUN
ejpam-66	95	16	.	.	PUNCT
ejpam-66	96	1	definition	definition	NOUN
ejpam-66	96	2	3.1	3.1	NUM
ejpam-66	96	3	.	.	PUNCT
ejpam-66	97	1	a	a	DET
ejpam-66	97	2	function	function	NOUN
ejpam-66	97	3	fγ	fγ	NOUN
ejpam-66	97	4	is	be	AUX
ejpam-66	97	5	said	say	VERB
ejpam-66	97	6	to	to	PART
ejpam-66	97	7	be	be	AUX
ejpam-66	97	8	a	a	DET
ejpam-66	97	9	solution	solution	NOUN
ejpam-66	97	10	to	to	ADP
ejpam-66	97	11	(	(	PUNCT
ejpam-66	97	12	3.1	3.1	NUM
ejpam-66	97	13	)	)	PUNCT
ejpam-66	97	14	if	if	SCONJ
ejpam-66	97	15	f	f	PROPN
ejpam-66	97	16	∈	∈	PROPN
ejpam-66	97	17	c2(0,∞	c2(0,∞	NOUN
ejpam-66	97	18	)	)	PUNCT
ejpam-66	97	19	,	,	PUNCT
ejpam-66	97	20	|	|	NOUN
ejpam-66	97	21	f	f	X
ejpam-66	97	22	′′γ	′′γ	NOUN
ejpam-66	98	1	|	|	ADV
ejpam-66	98	2	n−1	n−1	PROPN
ejpam-66	98	3	f	f	PROPN
ejpam-66	98	4	′′γ	′′γ	NOUN
ejpam-66	98	5	∈	∈	PROPN
ejpam-66	98	6	c1(0,∞	c1(0,∞	NOUN
ejpam-66	98	7	)	)	PUNCT
ejpam-66	98	8	and	and	CCONJ
ejpam-66	98	9	satisfies	satisfy	VERB
ejpam-66	98	10	lim	lim	PROPN
ejpam-66	98	11	η→∞	η→∞	NUM
ejpam-66	98	12	f	f	PROPN
ejpam-66	98	13	′γ(η	′γ(η	NUM
ejpam-66	98	14	)	)	PUNCT
ejpam-66	98	15	=	=	SYM
ejpam-66	98	16	1	1	NUM
ejpam-66	98	17	(	(	PUNCT
ejpam-66	98	18	i	i	NOUN
ejpam-66	98	19	)	)	PUNCT
ejpam-66	98	20	and	and	CCONJ
ejpam-66	98	21	lim	lim	PROPN
ejpam-66	98	22	η→∞	η→∞	NUM
ejpam-66	98	23	f	f	PROPN
ejpam-66	98	24	′′γ	′′γ	NOUN
ejpam-66	98	25	(	(	PUNCT
ejpam-66	98	26	η	η	NOUN
ejpam-66	98	27	)	)	PUNCT
ejpam-66	98	28	=	=	SYM
ejpam-66	98	29	0	0	NUM
ejpam-66	98	30	(	(	PUNCT
ejpam-66	98	31	ii	ii	NOUN
ejpam-66	98	32	)	)	PUNCT
ejpam-66	98	33	3.1	3.1	NUM
ejpam-66	98	34	.	.	PUNCT
ejpam-66	98	35	suction	suction	NOUN
ejpam-66	98	36	/	/	SYM
ejpam-66	98	37	injection	injection	NOUN
ejpam-66	98	38	flows	flow	NOUN
ejpam-66	98	39	(	(	PUNCT
ejpam-66	98	40	α	α	NOUN
ejpam-66	98	41	∈	∈	PROPN
ejpam-66	98	42	r	r	NOUN
ejpam-66	98	43	)	)	PUNCT
ejpam-66	98	44	theorem	theorem	NOUN
ejpam-66	98	45	3.1	3.1	NUM
ejpam-66	98	46	.	.	PUNCT
ejpam-66	99	1	assume	assume	VERB
ejpam-66	99	2	α	α	PRON
ejpam-66	99	3	∈	∈	PROPN
ejpam-66	99	4	r	r	PROPN
ejpam-66	99	5	,	,	PUNCT
ejpam-66	99	6	δ	δ	PROPN
ejpam-66	99	7	>	>	X
ejpam-66	99	8	0	0	PROPN
ejpam-66	99	9	,	,	PUNCT
ejpam-66	99	10	m	m	VERB
ejpam-66	99	11	>	>	X
ejpam-66	99	12	0	0	NUM
ejpam-66	99	13	,	,	PUNCT
ejpam-66	99	14	n	n	CCONJ
ejpam-66	99	15	>	>	SYM
ejpam-66	99	16	1	1	NUM
ejpam-66	99	17	and	and	CCONJ
ejpam-66	99	18	−	−	NUM
ejpam-66	99	19	1	1	NUM
ejpam-66	99	20	3n	3n	NOUN
ejpam-66	99	21	<	<	X
ejpam-66	99	22	m<−m	m<−m	NOUN
ejpam-66	99	23	.	.	PUNCT
ejpam-66	100	1	for	for	ADP
ejpam-66	100	2	any	any	DET
ejpam-66	100	3	γ	γ	X
ejpam-66	100	4	satisfying	satisfying	ADJ
ejpam-66	100	5	|γ|n−1γ	|γ|n−1γ	NOUN
ejpam-66	100	6	>	>	X
ejpam-66	100	7	−aαδ	−aαδ	X
ejpam-66	100	8	(	(	PUNCT
ejpam-66	100	9	?	?	PUNCT
ejpam-66	100	10	)	)	PUNCT
ejpam-66	100	11	,	,	PUNCT
ejpam-66	100	12	problem	problem	NOUN
ejpam-66	100	13	(	(	PUNCT
ejpam-66	100	14	3.1	3.1	NUM
ejpam-66	100	15	)	)	PUNCT
ejpam-66	100	16	admits	admit	VERB
ejpam-66	100	17	a	a	DET
ejpam-66	100	18	global	global	ADJ
ejpam-66	100	19	unbounded	unbounded	ADJ
ejpam-66	100	20	solution	solution	NOUN
ejpam-66	100	21	.	.	PUNCT
ejpam-66	101	1	proof	proof	NOUN
ejpam-66	101	2	.	.	PUNCT
ejpam-66	102	1	from	from	ADP
ejpam-66	102	2	a	a	DET
ejpam-66	102	3	physical	physical	ADJ
ejpam-66	102	4	point	point	NOUN
ejpam-66	102	5	of	of	ADP
ejpam-66	102	6	view	view	NOUN
ejpam-66	102	7	,	,	PUNCT
ejpam-66	102	8	it	it	PRON
ejpam-66	102	9	is	be	AUX
ejpam-66	102	10	more	more	ADV
ejpam-66	102	11	convenient	convenient	ADJ
ejpam-66	102	12	to	to	PART
ejpam-66	102	13	prove	prove	VERB
ejpam-66	102	14	the	the	DET
ejpam-66	102	15	result	result	NOUN
ejpam-66	102	16	for	for	SCONJ
ejpam-66	102	17	the	the	DET
ejpam-66	102	18	cases	case	NOUN
ejpam-66	102	19	α≥	α≥	VERB
ejpam-66	102	20	0	0	NUM
ejpam-66	102	21	(	(	PUNCT
ejpam-66	102	22	suction	suction	NOUN
ejpam-66	102	23	)	)	PUNCT
ejpam-66	102	24	α	α	NOUN
ejpam-66	102	25	<	<	X
ejpam-66	102	26	0	0	NUM
ejpam-66	102	27	(	(	PUNCT
ejpam-66	102	28	injection	injection	NOUN
ejpam-66	102	29	)	)	PUNCT
ejpam-66	102	30	separately	separately	ADV
ejpam-66	102	31	.	.	PUNCT
ejpam-66	103	1	we	we	PRON
ejpam-66	103	2	have	have	VERB
ejpam-66	103	3	to	to	PART
ejpam-66	103	4	show	show	VERB
ejpam-66	103	5	that	that	SCONJ
ejpam-66	103	6	fγ	fγ	PROPN
ejpam-66	103	7	is	be	AUX
ejpam-66	103	8	a	a	DET
ejpam-66	103	9	positive	positive	ADJ
ejpam-66	103	10	monotonic	monotonic	ADJ
ejpam-66	103	11	increasing	increase	VERB
ejpam-66	103	12	function	function	NOUN
ejpam-66	103	13	on	on	ADP
ejpam-66	103	14	(	(	PUNCT
ejpam-66	103	15	0,ηγ	0,ηγ	PROPN
ejpam-66	103	16	)	)	PUNCT
ejpam-66	103	17	,	,	PUNCT
ejpam-66	103	18	globally	globally	ADV
ejpam-66	103	19	defined	define	VERB
ejpam-66	103	20	and	and	CCONJ
ejpam-66	103	21	going	go	VERB
ejpam-66	103	22	to	to	PART
ejpam-66	103	23	infinity	infinity	VERB
ejpam-66	103	24	with	with	ADP
ejpam-66	103	25	η	η	PROPN
ejpam-66	103	26	.	.	PROPN
ejpam-66	103	27	for	for	ADP
ejpam-66	103	28	this	this	DET
ejpam-66	103	29	sake	sake	NOUN
ejpam-66	103	30	we	we	PRON
ejpam-66	103	31	define	define	VERB
ejpam-66	103	32	the	the	DET
ejpam-66	103	33	lyapunov	lyapunov	ADJ
ejpam-66	103	34	energy	energy	NOUN
ejpam-66	103	35	function	function	NOUN
ejpam-66	103	36	by	by	ADP
ejpam-66	103	37	v	v	PROPN
ejpam-66	103	38	(	(	PUNCT
ejpam-66	103	39	η	η	NOUN
ejpam-66	103	40	)	)	PUNCT
ejpam-66	104	1	=	=	SYM
ejpam-66	104	2	1	1	NUM
ejpam-66	104	3	n+	n+	SYM
ejpam-66	104	4	1	1	NUM
ejpam-66	104	5	|	|	NOUN
ejpam-66	104	6	f	f	PROPN
ejpam-66	104	7	′′|n+1−	′′|n+1−	PROPN
ejpam-66	104	8	m	m	VERB
ejpam-66	104	9	3	3	NUM
ejpam-66	104	10	f	f	NOUN
ejpam-66	104	11	′3−	′3−	PROPN
ejpam-66	104	12	m	m	PROPN
ejpam-66	104	13	2	2	NUM
ejpam-66	104	14	f	f	NOUN
ejpam-66	104	15	′2	′2	X
ejpam-66	104	16	+	+	CCONJ
ejpam-66	104	17	(	(	PUNCT
ejpam-66	104	18	m	m	VERB
ejpam-66	104	19	+	+	NOUN
ejpam-66	104	20	m	m	NOUN
ejpam-66	104	21	)	)	PUNCT
ejpam-66	104	22	f	f	PROPN
ejpam-66	104	23	′.	′.	NOUN
ejpam-66	104	24	(	(	PUNCT
ejpam-66	104	25	3.5	3.5	NUM
ejpam-66	104	26	)	)	PUNCT
ejpam-66	104	27	which	which	PRON
ejpam-66	104	28	satisfies	satisfy	VERB
ejpam-66	104	29	v	v	ADP
ejpam-66	104	30	′(η	′(η	NOUN
ejpam-66	104	31	)	)	PUNCT
ejpam-66	105	1	=	=	PRON
ejpam-66	105	2	−a	−a	NOUN
ejpam-66	105	3	f	f	X
ejpam-66	105	4	f	f	PROPN
ejpam-66	105	5	′′2	′′2	PROPN
ejpam-66	105	6	.	.	PUNCT
ejpam-66	106	1	then	then	ADV
ejpam-66	106	2	v	v	NOUN
ejpam-66	106	3	is	be	AUX
ejpam-66	106	4	monotonic	monotonic	ADJ
ejpam-66	106	5	decreasing	decrease	VERB
ejpam-66	106	6	on	on	ADP
ejpam-66	106	7	(	(	PUNCT
ejpam-66	106	8	0,ηγ	0,ηγ	NOUN
ejpam-66	106	9	)	)	PUNCT
ejpam-66	106	10	.	.	PUNCT
ejpam-66	107	1	on	on	ADP
ejpam-66	107	2	the	the	DET
ejpam-66	107	3	other	other	ADJ
ejpam-66	107	4	hand	hand	NOUN
ejpam-66	107	5	,	,	PUNCT
ejpam-66	107	6	from	from	ADP
ejpam-66	107	7	equation	equation	NOUN
ejpam-66	107	8	(	(	PUNCT
ejpam-66	107	9	3.4	3.4	NUM
ejpam-66	107	10	)	)	PUNCT
ejpam-66	107	11	and	and	CCONJ
ejpam-66	107	12	condition	condition	NOUN
ejpam-66	107	13	(	(	PUNCT
ejpam-66	107	14	?	?	PUNCT
ejpam-66	107	15	)	)	PUNCT
ejpam-66	107	16	we	we	PRON
ejpam-66	107	17	see	see	VERB
ejpam-66	107	18	that	that	DET
ejpam-66	107	19	fγ	fγ	PROPN
ejpam-66	107	20	′	′	NOUN
ejpam-66	107	21	and	and	CCONJ
ejpam-66	107	22	fγ	fγ	ADV
ejpam-66	107	23	are	be	AUX
ejpam-66	107	24	positive	positive	ADJ
ejpam-66	107	25	on	on	ADP
ejpam-66	107	26	(	(	PUNCT
ejpam-66	107	27	0,ηγ	0,ηγ	NOUN
ejpam-66	107	28	)	)	PUNCT
ejpam-66	107	29	as	as	ADV
ejpam-66	107	30	long	long	ADV
ejpam-66	107	31	as	as	SCONJ
ejpam-66	107	32	fγ	fγ	NOUN
ejpam-66	107	33	exists	exist	NOUN
ejpam-66	107	34	.	.	PUNCT
ejpam-66	108	1	using	use	VERB
ejpam-66	108	2	the	the	DET
ejpam-66	108	3	lyapunov	lyapunov	NOUN
ejpam-66	108	4	function	function	NOUN
ejpam-66	108	5	v	v	NOUN
ejpam-66	108	6	we	we	PRON
ejpam-66	108	7	see	see	VERB
ejpam-66	108	8	that	that	DET
ejpam-66	108	9	fγ	fγ	ADV
ejpam-66	108	10	′	′	NOUN
ejpam-66	108	11	and	and	CCONJ
ejpam-66	108	12	fγ	fγ	PROPN
ejpam-66	108	13	′′	′′	PROPN
ejpam-66	108	14	are	be	AUX
ejpam-66	108	15	bounded	bound	VERB
ejpam-66	108	16	,	,	PUNCT
ejpam-66	108	17	since	since	SCONJ
ejpam-66	108	18	v	v	NOUN
ejpam-66	108	19	is	be	AUX
ejpam-66	108	20	bounded	bound	VERB
ejpam-66	108	21	from	from	ADP
ejpam-66	108	22	below	below	ADV
ejpam-66	108	23	by	by	ADP
ejpam-66	108	24	3m+4	3m+4	PROPN
ejpam-66	108	25	m	m	NOUN
ejpam-66	108	26	6	6	NUM
ejpam-66	108	27	.	.	PUNCT
ejpam-66	109	1	if	if	SCONJ
ejpam-66	109	2	fγ	fγ	PROPN
ejpam-66	109	3	were	be	AUX
ejpam-66	109	4	also	also	ADV
ejpam-66	109	5	bounded	bound	VERB
ejpam-66	109	6	,	,	PUNCT
ejpam-66	109	7	say	say	VERB
ejpam-66	109	8	f	f	X
ejpam-66	109	9	→η∞l	→η∞l	PROPN
ejpam-66	109	10	with	with	ADP
ejpam-66	109	11	l	l	PROPN
ejpam-66	109	12	∈	∈	PROPN
ejpam-66	109	13	(	(	PUNCT
ejpam-66	109	14	0,∞	0,∞	NOUN
ejpam-66	109	15	)	)	PUNCT
ejpam-66	109	16	(	(	PUNCT
ejpam-66	109	17	since	since	SCONJ
ejpam-66	109	18	fγ	fγ	PROPN
ejpam-66	109	19	is	be	AUX
ejpam-66	109	20	positive	positive	ADJ
ejpam-66	109	21	)	)	PUNCT
ejpam-66	109	22	.	.	PUNCT
ejpam-66	110	1	then	then	ADV
ejpam-66	110	2	fγ	fγ	PROPN
ejpam-66	110	3	′(η	′(η	NOUN
ejpam-66	110	4	)	)	PUNCT
ejpam-66	110	5	→η∞	→η∞	PROPN
ejpam-66	110	6	0	0	NUM
ejpam-66	110	7	which	which	PRON
ejpam-66	110	8	implies	imply	VERB
ejpam-66	110	9	that	that	SCONJ
ejpam-66	110	10	f	f	PROPN
ejpam-66	110	11	′′γ	′′γ	NOUN
ejpam-66	110	12	(	(	PUNCT
ejpam-66	110	13	ηk	ηk	X
ejpam-66	110	14	)	)	PUNCT
ejpam-66	110	15	→k∞	→k∞	PROPN
ejpam-66	110	16	0	0	NUM
ejpam-66	110	17	,	,	PUNCT
ejpam-66	110	18	where	where	SCONJ
ejpam-66	110	19	(	(	PUNCT
ejpam-66	110	20	ηk)k≥0	ηk)k≥0	PROPN
ejpam-66	110	21	is	be	AUX
ejpam-66	110	22	a	a	DET
ejpam-66	110	23	sequence	sequence	NOUN
ejpam-66	110	24	tending	tend	VERB
ejpam-66	110	25	to	to	ADP
ejpam-66	110	26	infinity	infinity	NOUN
ejpam-66	110	27	with	with	ADP
ejpam-66	110	28	k.	k.	NOUN
ejpam-66	110	29	using	use	VERB
ejpam-66	110	30	again	again	ADV
ejpam-66	110	31	(	(	PUNCT
ejpam-66	110	32	3.4	3.4	NUM
ejpam-66	110	33	)	)	PUNCT
ejpam-66	110	34	to	to	PART
ejpam-66	110	35	deduce	deduce	VERB
ejpam-66	110	36	|	|	ADV
ejpam-66	110	37	f	f	NOUN
ejpam-66	110	38	′′γ	′′γ	NOUN
ejpam-66	110	39	(	(	PUNCT
ejpam-66	110	40	ηk)|n−1	ηk)|n−1	PROPN
ejpam-66	110	41	f	f	PROPN
ejpam-66	110	42	′′γ	′′γ	NOUN
ejpam-66	110	43	(	(	PUNCT
ejpam-66	110	44	ηk	ηk	X
ejpam-66	110	45	)	)	PUNCT
ejpam-66	110	46	+	+	CCONJ
ejpam-66	110	47	a	a	DET
ejpam-66	110	48	f	f	X
ejpam-66	110	49	′γ(ηk	′γ(ηk	NOUN
ejpam-66	110	50	)	)	PUNCT
ejpam-66	110	51	fγ(ηk	fγ(ηk	NOUN
ejpam-66	110	52	)	)	PUNCT
ejpam-66	110	53	=	=	SYM
ejpam-66	110	54	−m	−m	NOUN
ejpam-66	110	55	(	(	PUNCT
ejpam-66	110	56	fγ(ηk	fγ(ηk	NOUN
ejpam-66	110	57	)	)	PUNCT
ejpam-66	110	58	+	+	NOUN
ejpam-66	110	59	α	α	X
ejpam-66	110	60	)	)	PUNCT
ejpam-66	110	61	+	+	NUM
ejpam-66	110	62	|γ|n−1γ+	|γ|n−1γ+	ADJ
ejpam-66	110	63	aαδ−	aαδ−	PROPN
ejpam-66	110	64	(	(	PUNCT
ejpam-66	110	65	m	m	PROPN
ejpam-66	110	66	+	+	ADJ
ejpam-66	110	67	m)ηk	m)ηk	ADJ
ejpam-66	110	68	+	+	CCONJ
ejpam-66	110	69	(	(	PUNCT
ejpam-66	110	70	a+m	a+m	NUM
ejpam-66	110	71	)	)	PUNCT
ejpam-66	110	72	∫	∫	PROPN
ejpam-66	110	73	0	0	PROPN
ejpam-66	110	74	ηk	ηk	PROPN
ejpam-66	110	75	f	f	PROPN
ejpam-66	110	76	′γ	′γ	PROPN
ejpam-66	110	77	2(τ)dτ	2(τ)dτ	NUM
ejpam-66	110	78	.	.	PUNCT
ejpam-66	111	1	zakia	zakia	NOUN
ejpam-66	111	2	hammouch	hammouch	PROPN
ejpam-66	111	3	/	/	SYM
ejpam-66	111	4	eur	eur	NOUN
ejpam-66	111	5	.	.	PUNCT
ejpam-66	112	1	j.	j.	PROPN
ejpam-66	112	2	pure	pure	PROPN
ejpam-66	112	3	appl	appl	PROPN
ejpam-66	112	4	.	.	PROPN
ejpam-66	112	5	math	math	PROPN
ejpam-66	112	6	,	,	PUNCT
ejpam-66	112	7	1	1	NUM
ejpam-66	112	8	(	(	PUNCT
ejpam-66	112	9	2008	2008	NUM
ejpam-66	112	10	)	)	PUNCT
ejpam-66	112	11	,	,	PUNCT
ejpam-66	112	12	(	(	PUNCT
ejpam-66	112	13	11	11	NUM
ejpam-66	112	14	-	-	SYM
ejpam-66	112	15	20	20	NUM
ejpam-66	112	16	)	)	PUNCT
ejpam-66	112	17	16	16	NUM
ejpam-66	112	18	letting	let	VERB
ejpam-66	112	19	k→∞	k→∞	NOUN
ejpam-66	112	20	,	,	PUNCT
ejpam-66	112	21	the	the	DET
ejpam-66	112	22	right	right	ADJ
ejpam-66	112	23	hand	hand	NOUN
ejpam-66	112	24	side	side	NOUN
ejpam-66	112	25	goes	go	VERB
ejpam-66	112	26	to	to	ADP
ejpam-66	112	27	zero	zero	NUM
ejpam-66	112	28	while	while	SCONJ
ejpam-66	112	29	the	the	DET
ejpam-66	112	30	left	left	ADJ
ejpam-66	112	31	hand	hand	NOUN
ejpam-66	112	32	side	side	NOUN
ejpam-66	112	33	goes	go	VERB
ejpam-66	112	34	to	to	ADP
ejpam-66	112	35	minus	minus	CCONJ
ejpam-66	112	36	infinity	infinity	NOUN
ejpam-66	112	37	,	,	PUNCT
ejpam-66	112	38	which	which	PRON
ejpam-66	112	39	is	be	AUX
ejpam-66	112	40	impossible	impossible	ADJ
ejpam-66	112	41	.	.	PUNCT
ejpam-66	113	1	then	then	ADV
ejpam-66	113	2	fγ	fγ	PROPN
ejpam-66	113	3	is	be	AUX
ejpam-66	113	4	a	a	DET
ejpam-66	113	5	global	global	ADJ
ejpam-66	113	6	unbounded	unbounded	ADJ
ejpam-66	113	7	solution	solution	NOUN
ejpam-66	113	8	to	to	ADP
ejpam-66	113	9	(	(	PUNCT
ejpam-66	113	10	3.1	3.1	NUM
ejpam-66	113	11	)	)	PUNCT
ejpam-66	113	12	.	.	PUNCT
ejpam-66	114	1	from	from	ADP
ejpam-66	114	2	the	the	DET
ejpam-66	114	3	above	above	ADJ
ejpam-66	114	4	f	f	PROPN
ejpam-66	114	5	′γ	′γ	PROPN
ejpam-66	114	6	and	and	CCONJ
ejpam-66	114	7	f	f	PROPN
ejpam-66	114	8	′′γ	′′γ	NOUN
ejpam-66	114	9	are	be	AUX
ejpam-66	114	10	bounded	bound	VERB
ejpam-66	114	11	and	and	CCONJ
ejpam-66	114	12	f	f	PROPN
ejpam-66	114	13	′γ	′γ	PRON
ejpam-66	114	14	is	be	AUX
ejpam-66	114	15	monotonic	monotonic	ADJ
ejpam-66	114	16	increasing	increase	VERB
ejpam-66	114	17	on	on	ADP
ejpam-66	114	18	(	(	PUNCT
ejpam-66	114	19	η1,∞	η1,∞	PROPN
ejpam-66	114	20	)	)	PUNCT
ejpam-66	114	21	,	,	PUNCT
ejpam-66	114	22	for	for	ADP
ejpam-66	114	23	η1	η1	NOUN
ejpam-66	114	24	large	large	ADJ
ejpam-66	114	25	enough	enough	ADV
ejpam-66	114	26	.	.	PUNCT
ejpam-66	115	1	then	then	ADV
ejpam-66	115	2	there	there	PRON
ejpam-66	115	3	exists	exist	VERB
ejpam-66	115	4	l	l	NOUN
ejpam-66	115	5	>	>	X
ejpam-66	115	6	0	0	NUM
ejpam-66	116	1	such	such	ADJ
ejpam-66	116	2	that	that	SCONJ
ejpam-66	116	3	limη→∞	limη→∞	PROPN
ejpam-66	116	4	f	f	PROPN
ejpam-66	116	5	′γ(η	′γ(η	PROPN
ejpam-66	116	6	)	)	PUNCT
ejpam-66	116	7	=	=	SYM
ejpam-66	117	1	l	l	NOUN
ejpam-66	117	2	,	,	PUNCT
ejpam-66	117	3	and	and	CCONJ
ejpam-66	117	4	there	there	PRON
ejpam-66	117	5	exits	exit	VERB
ejpam-66	117	6	a	a	DET
ejpam-66	117	7	sequence	sequence	NOUN
ejpam-66	117	8	(	(	PUNCT
ejpam-66	117	9	ζk)k	ζk)k	PROPN
ejpam-66	117	10	,	,	PUNCT
ejpam-66	117	11	tending	tend	VERB
ejpam-66	117	12	to	to	ADP
ejpam-66	117	13	infinity	infinity	NOUN
ejpam-66	117	14	with	with	ADP
ejpam-66	117	15	k	k	PROPN
ejpam-66	118	1	such	such	ADJ
ejpam-66	118	2	that	that	SCONJ
ejpam-66	118	3	limk→∞	limk→∞	PROPN
ejpam-66	118	4	f	f	NUM
ejpam-66	118	5	′′γ	′′γ	NOUN
ejpam-66	118	6	(	(	PUNCT
ejpam-66	118	7	ζk	ζk	NOUN
ejpam-66	118	8	)	)	PUNCT
ejpam-66	118	9	=	=	SYM
ejpam-66	118	10	0	0	X
ejpam-66	118	11	.	.	X
ejpam-66	119	1	making	make	VERB
ejpam-66	119	2	recourse	recourse	NOUN
ejpam-66	119	3	to	to	ADP
ejpam-66	119	4	the	the	DET
ejpam-66	119	5	lyapunov	lyapunov	NOUN
ejpam-66	119	6	function	function	NOUN
ejpam-66	119	7	v	v	NOUN
ejpam-66	119	8	we	we	PRON
ejpam-66	119	9	get	get	VERB
ejpam-66	119	10	limη→∞	limη→∞	PROPN
ejpam-66	119	11	f	f	PROPN
ejpam-66	119	12	′′γ	′′γ	NOUN
ejpam-66	119	13	(	(	PUNCT
ejpam-66	119	14	ζk	ζk	NOUN
ejpam-66	119	15	)	)	PUNCT
ejpam-66	119	16	=	=	SYM
ejpam-66	120	1	0	0	X
ejpam-66	120	2	.	.	X
ejpam-66	120	3	assume	assume	VERB
ejpam-66	120	4	now	now	ADV
ejpam-66	120	5	that	that	SCONJ
ejpam-66	120	6	f	f	PROPN
ejpam-66	120	7	′′γ	′′γ	NOUN
ejpam-66	120	8	is	be	AUX
ejpam-66	120	9	not	not	PART
ejpam-66	120	10	monotonic	monotonic	ADJ
ejpam-66	120	11	on	on	ADP
ejpam-66	120	12	any	any	DET
ejpam-66	120	13	interval	interval	NOUN
ejpam-66	120	14	[	[	X
ejpam-66	120	15	η2,∞	η2,∞	PROPN
ejpam-66	120	16	)	)	PUNCT
ejpam-66	120	17	.	.	PUNCT
ejpam-66	121	1	then	then	ADV
ejpam-66	121	2	,	,	PUNCT
ejpam-66	121	3	there	there	PRON
ejpam-66	121	4	exists	exist	VERB
ejpam-66	121	5	a	a	DET
ejpam-66	121	6	sequence	sequence	NOUN
ejpam-66	121	7	(	(	PUNCT
ejpam-66	121	8	τk)k	τk)k	NUM
ejpam-66	121	9	going	go	VERB
ejpam-66	121	10	to	to	PART
ejpam-66	121	11	infinity	infinity	VERB
ejpam-66	121	12	with	with	ADP
ejpam-66	121	13	k	k	PROPN
ejpam-66	121	14	such	such	ADJ
ejpam-66	121	15	that	that	PRON
ejpam-66	121	16	:	:	PUNCT
ejpam-66	121	17	•	•	X
ejpam-66	121	18	(	(	PUNCT
ejpam-66	121	19	|	|	ADV
ejpam-66	121	20	f	f	X
ejpam-66	121	21	′′γ	′′γ	NOUN
ejpam-66	122	1	|	|	ADV
ejpam-66	122	2	n−1	n−1	PROPN
ejpam-66	122	3	f	f	PROPN
ejpam-66	122	4	′′γ	′′γ	NOUN
ejpam-66	122	5	)	)	PUNCT
ejpam-66	123	1	′(τk	′(τk	ADJ
ejpam-66	123	2	)	)	PUNCT
ejpam-66	123	3	=	=	SYM
ejpam-66	124	1	0	0	NUM
ejpam-66	124	2	,	,	PUNCT
ejpam-66	124	3	•	•	NOUN
ejpam-66	125	1	|	|	ADV
ejpam-66	125	2	f	f	X
ejpam-66	125	3	′′γ	′′γ	NOUN
ejpam-66	126	1	|	|	ADV
ejpam-66	126	2	n−1	n−1	PROPN
ejpam-66	126	3	f	f	PROPN
ejpam-66	126	4	′′γ	′′γ	NOUN
ejpam-66	126	5	(	(	PUNCT
ejpam-66	126	6	τ2k	τ2k	PROPN
ejpam-66	126	7	)	)	PUNCT
ejpam-66	126	8	is	be	AUX
ejpam-66	126	9	a	a	DET
ejpam-66	126	10	local	local	ADJ
ejpam-66	126	11	minimum	minimum	NOUN
ejpam-66	126	12	,	,	PUNCT
ejpam-66	127	1	•	•	ADP
ejpam-66	127	2	|	|	ADV
ejpam-66	127	3	f	f	X
ejpam-66	127	4	′′γ	′′γ	NOUN
ejpam-66	128	1	|	|	ADV
ejpam-66	128	2	n−1	n−1	PROPN
ejpam-66	128	3	f	f	PROPN
ejpam-66	128	4	′′γ	′′γ	NOUN
ejpam-66	128	5	(	(	PUNCT
ejpam-66	128	6	τ2k+1	τ2k+1	NOUN
ejpam-66	128	7	)	)	PUNCT
ejpam-66	128	8	is	be	AUX
ejpam-66	128	9	a	a	DET
ejpam-66	128	10	local	local	ADJ
ejpam-66	128	11	maximum	maximum	NOUN
ejpam-66	128	12	.	.	PUNCT
ejpam-66	129	1	from	from	ADP
ejpam-66	129	2	(	(	PUNCT
ejpam-66	129	3	3.1)1	3.1)1	NUM
ejpam-66	129	4	,	,	PUNCT
ejpam-66	129	5	we	we	PRON
ejpam-66	129	6	have	have	VERB
ejpam-66	129	7	f	f	PROPN
ejpam-66	129	8	′′γ	′′γ	ADJ
ejpam-66	129	9	(	(	PUNCT
ejpam-66	129	10	τk	τk	ADP
ejpam-66	129	11	)	)	PUNCT
ejpam-66	129	12	=	=	NOUN
ejpam-66	129	13	−	−	NOUN
ejpam-66	129	14	m(1−	m(1−	PROPN
ejpam-66	129	15	f	f	PROPN
ejpam-66	129	16	′2γ	′2γ	PROPN
ejpam-66	129	17	(	(	PUNCT
ejpam-66	129	18	τk	τk	ADP
ejpam-66	129	19	)	)	PUNCT
ejpam-66	129	20	)	)	PUNCT
ejpam-66	130	1	+	+	VERB
ejpam-66	130	2	m(1−	m(1−	PROPN
ejpam-66	130	3	f	f	PROPN
ejpam-66	130	4	′γ(τk	′γ(τk	PROPN
ejpam-66	130	5	)	)	PUNCT
ejpam-66	130	6	)	)	PUNCT
ejpam-66	130	7	a	a	DET
ejpam-66	130	8	fγ(τk	fγ(τk	NOUN
ejpam-66	130	9	)	)	PUNCT
ejpam-66	130	10	.	.	PUNCT
ejpam-66	131	1	since	since	SCONJ
ejpam-66	131	2	f	f	PROPN
ejpam-66	131	3	′γ	′γ	PRON
ejpam-66	131	4	is	be	AUX
ejpam-66	131	5	bounded	bound	VERB
ejpam-66	131	6	and	and	CCONJ
ejpam-66	131	7	fγ	fγ	PROPN
ejpam-66	131	8	goes	go	VERB
ejpam-66	131	9	to	to	ADP
ejpam-66	131	10	infinity	infinity	NOUN
ejpam-66	131	11	with	with	ADP
ejpam-66	131	12	ηk	ηk	PROPN
ejpam-66	131	13	,	,	PUNCT
ejpam-66	131	14	we	we	PRON
ejpam-66	131	15	get	get	VERB
ejpam-66	131	16	easily	easily	ADV
ejpam-66	131	17	from	from	ADP
ejpam-66	131	18	the	the	DET
ejpam-66	131	19	above	above	ADV
ejpam-66	131	20	that	that	SCONJ
ejpam-66	131	21	f	f	PROPN
ejpam-66	131	22	′′γ	′′γ	NOUN
ejpam-66	131	23	goes	go	VERB
ejpam-66	131	24	to	to	ADP
ejpam-66	131	25	zero	zero	NUM
ejpam-66	131	26	with	with	ADP
ejpam-66	131	27	η	η	PROPN
ejpam-66	131	28	.	.	PROPN
ejpam-66	132	1	now	now	ADV
ejpam-66	132	2	we	we	PRON
ejpam-66	132	3	show	show	VERB
ejpam-66	132	4	that	that	SCONJ
ejpam-66	132	5	fγ	fγ	ADJ
ejpam-66	132	6	satisfies	satisfie	NOUN
ejpam-66	132	7	(	(	PUNCT
ejpam-66	132	8	i	i	NOUN
ejpam-66	132	9	)	)	PUNCT
ejpam-66	132	10	.	.	PUNCT
ejpam-66	133	1	recall	recall	VERB
ejpam-66	133	2	that	that	SCONJ
ejpam-66	133	3	f	f	PROPN
ejpam-66	133	4	′γ	′γ	PRON
ejpam-66	133	5	is	be	AUX
ejpam-66	133	6	a	a	DET
ejpam-66	133	7	positive	positive	ADJ
ejpam-66	133	8	bounded	bounded	ADJ
ejpam-66	133	9	function	function	NOUN
ejpam-66	133	10	then	then	ADV
ejpam-66	133	11	f	f	X
ejpam-66	133	12	′γ	′γ	VERB
ejpam-66	133	13	→	→	PUNCT
ejpam-66	133	14	l	l	NOUN
ejpam-66	133	15	with	with	ADP
ejpam-66	133	16	l	l	PROPN
ejpam-66	133	17	∈	∈	PROPN
ejpam-66	133	18	(	(	PUNCT
ejpam-66	133	19	α,∞	α,∞	NOUN
ejpam-66	133	20	)	)	PUNCT
ejpam-66	133	21	.	.	PUNCT
ejpam-66	134	1	at	at	ADP
ejpam-66	134	2	infinity	infinity	NOUN
ejpam-66	134	3	we	we	PRON
ejpam-66	134	4	have	have	VERB
ejpam-66	134	5	fγ	fγ	ADJ
ejpam-66	134	6	∼	∼	NOUN
ejpam-66	134	7	ηl	ηl	ADP
ejpam-66	134	8	and	and	CCONJ
ejpam-66	134	9	from	from	ADP
ejpam-66	134	10	identity	identity	NOUN
ejpam-66	134	11	(	(	PUNCT
ejpam-66	134	12	3.4	3.4	NUM
ejpam-66	134	13	)	)	PUNCT
ejpam-66	134	14	we	we	PRON
ejpam-66	134	15	get	get	VERB
ejpam-66	134	16	|	|	ADV
ejpam-66	134	17	f	f	NOUN
ejpam-66	134	18	′′γ	′′γ	NOUN
ejpam-66	135	1	|	|	ADV
ejpam-66	135	2	n−1	n−1	PROPN
ejpam-66	135	3	f	f	PROPN
ejpam-66	135	4	′′γ	′′γ	NOUN
ejpam-66	135	5	∼	∼	NOUN
ejpam-66	135	6	η[ml2+ml	η[ml2+ml	X
ejpam-66	136	1	−	−	PROPN
ejpam-66	136	2	(	(	PUNCT
ejpam-66	136	3	m	m	VERB
ejpam-66	136	4	+	+	NOUN
ejpam-66	136	5	m	m	X
ejpam-66	136	6	)	)	PUNCT
ejpam-66	136	7	]	]	PUNCT
ejpam-66	137	1	+	+	PUNCT
ejpam-66	137	2	o(1	o(1	NOUN
ejpam-66	137	3	)	)	PUNCT
ejpam-66	137	4	as	as	ADP
ejpam-66	137	5	η	η	PROPN
ejpam-66	137	6	approaches	approach	NOUN
ejpam-66	137	7	infinity	infinity	NOUN
ejpam-66	137	8	,	,	PUNCT
ejpam-66	137	9	this	this	PRON
ejpam-66	137	10	leaves	leave	VERB
ejpam-66	137	11	only	only	ADV
ejpam-66	137	12	the	the	DET
ejpam-66	137	13	possibility	possibility	NOUN
ejpam-66	137	14	that	that	SCONJ
ejpam-66	137	15	l	l	NOUN
ejpam-66	137	16	is	be	AUX
ejpam-66	137	17	either	either	PRON
ejpam-66	137	18	1	1	NUM
ejpam-66	137	19	or	or	CCONJ
ejpam-66	137	20	−m	−m	NOUN
ejpam-66	137	21	m	m	NOUN
ejpam-66	137	22	−	−	PROPN
ejpam-66	137	23	1	1	NUM
ejpam-66	137	24	,	,	PUNCT
ejpam-66	137	25	thanks	thank	NOUN
ejpam-66	137	26	to	to	ADP
ejpam-66	137	27	the	the	DET
ejpam-66	137	28	positivity	positivity	NOUN
ejpam-66	137	29	of	of	ADP
ejpam-66	137	30	f	f	PROPN
ejpam-66	137	31	′γ	′γ	VERB
ejpam-66	137	32	we	we	PRON
ejpam-66	137	33	deduce	deduce	VERB
ejpam-66	137	34	that	that	DET
ejpam-66	137	35	l	l	NOUN
ejpam-66	137	36	=	=	NOUN
ejpam-66	138	1	1	1	X
ejpam-66	138	2	.	.	PUNCT
ejpam-66	138	3	to	to	PART
ejpam-66	138	4	finish	finish	VERB
ejpam-66	138	5	we	we	PRON
ejpam-66	138	6	show	show	VERB
ejpam-66	138	7	the	the	DET
ejpam-66	138	8	result	result	NOUN
ejpam-66	138	9	for	for	ADP
ejpam-66	138	10	α	α	PRON
ejpam-66	138	11	<	<	X
ejpam-66	138	12	0	0	NUM
ejpam-66	138	13	.	.	PUNCT
ejpam-66	139	1	in	in	ADP
ejpam-66	139	2	such	such	ADJ
ejpam-66	139	3	case	case	NOUN
ejpam-66	139	4	,	,	PUNCT
ejpam-66	139	5	the	the	DET
ejpam-66	139	6	function	function	NOUN
ejpam-66	139	7	fγ	fγ	ADV
ejpam-66	139	8	is	be	AUX
ejpam-66	139	9	negative	negative	ADJ
ejpam-66	139	10	on	on	ADP
ejpam-66	139	11	a	a	DET
ejpam-66	139	12	small	small	ADJ
ejpam-66	139	13	neighborhood	neighborhood	NOUN
ejpam-66	139	14	of	of	ADP
ejpam-66	139	15	zero	zero	NUM
ejpam-66	139	16	.	.	PUNCT
ejpam-66	140	1	according	accord	VERB
ejpam-66	140	2	to	to	ADP
ejpam-66	140	3	(	(	PUNCT
ejpam-66	140	4	3.4	3.4	NUM
ejpam-66	140	5	)	)	PUNCT
ejpam-66	140	6	fγ	fγ	ADV
ejpam-66	140	7	can	can	AUX
ejpam-66	140	8	not	not	PART
ejpam-66	140	9	have	have	VERB
ejpam-66	140	10	a	a	DET
ejpam-66	140	11	local	local	ADJ
ejpam-66	140	12	maximum	maximum	NOUN
ejpam-66	140	13	,	,	PUNCT
ejpam-66	140	14	then	then	ADV
ejpam-66	140	15	two	two	NUM
ejpam-66	140	16	possibilities	possibility	NOUN
ejpam-66	140	17	arise	arise	VERB
ejpam-66	140	18	:	:	PUNCT
ejpam-66	140	19	•	•	ADP
ejpam-66	140	20	either	either	CCONJ
ejpam-66	140	21	fγ	fγ	PROPN
ejpam-66	140	22	<	<	X
ejpam-66	140	23	0	0	NUM
ejpam-66	140	24	∀η	∀η	X
ejpam-66	140	25	∈	∈	PROPN
ejpam-66	140	26	(	(	PUNCT
ejpam-66	140	27	0,ηγ	0,ηγ	NOUN
ejpam-66	140	28	)	)	PUNCT
ejpam-66	140	29	•	•	NOUN
ejpam-66	141	1	or	or	CCONJ
ejpam-66	141	2	∃η	∃η	NOUN
ejpam-66	141	3	?	?	PUNCT
ejpam-66	142	1	such	such	ADJ
ejpam-66	142	2	that	that	DET
ejpam-66	142	3	fγ	fγ	PROPN
ejpam-66	142	4	<	<	X
ejpam-66	142	5	0	0	PUNCT
ejpam-66	142	6	on	on	ADP
ejpam-66	142	7	(	(	PUNCT
ejpam-66	142	8	0,η	0,η	NOUN
ejpam-66	142	9	?	?	PUNCT
ejpam-66	142	10	)	)	PUNCT
ejpam-66	142	11	,	,	PUNCT
ejpam-66	142	12	fγ(η	fγ(η	X
ejpam-66	142	13	?	?	PUNCT
ejpam-66	142	14	)	)	PUNCT
ejpam-66	143	1	=	=	SYM
ejpam-66	143	2	0	0	NUM
ejpam-66	143	3	and	and	CCONJ
ejpam-66	143	4	fγ	fγ	PROPN
ejpam-66	143	5	>	>	X
ejpam-66	143	6	0	0	NUM
ejpam-66	144	1	∀η	∀η	X
ejpam-66	144	2	>	>	PUNCT
ejpam-66	144	3	η	η	PROPN
ejpam-66	144	4	?	?	PROPN
ejpam-66	144	5	.	.	PUNCT
ejpam-66	145	1	assume	assume	VERB
ejpam-66	145	2	that	that	SCONJ
ejpam-66	145	3	the	the	DET
ejpam-66	145	4	first	first	ADJ
ejpam-66	145	5	assertion	assertion	NOUN
ejpam-66	145	6	holds	hold	VERB
ejpam-66	145	7	,	,	PUNCT
ejpam-66	145	8	then	then	ADV
ejpam-66	145	9	α	α	X
ejpam-66	145	10	>	>	X
ejpam-66	145	11	fγ(∞	fγ(∞	PROPN
ejpam-66	145	12	)	)	PUNCT
ejpam-66	145	13	≤	≤	NOUN
ejpam-66	145	14	0	0	NUM
ejpam-66	146	1	and	and	CCONJ
ejpam-66	146	2	f	f	PROPN
ejpam-66	146	3	′γ(∞	′γ(∞	PROPN
ejpam-66	146	4	)	)	PUNCT
ejpam-66	147	1	=	=	SYM
ejpam-66	147	2	0	0	NUM
ejpam-66	147	3	,	,	PUNCT
ejpam-66	147	4	f	f	NOUN
ejpam-66	147	5	′	′	NOUN
ejpam-66	147	6	being	be	AUX
ejpam-66	147	7	positive	positive	ADJ
ejpam-66	147	8	we	we	PRON
ejpam-66	147	9	use	use	VERB
ejpam-66	147	10	again	again	ADV
ejpam-66	147	11	(	(	PUNCT
ejpam-66	147	12	3.4	3.4	NUM
ejpam-66	147	13	)	)	PUNCT
ejpam-66	147	14	to	to	PART
ejpam-66	147	15	get	get	VERB
ejpam-66	147	16	that	that	PRON
ejpam-66	147	17	f	f	PROPN
ejpam-66	147	18	′′γ	′′γ	NOUN
ejpam-66	147	19	is	be	AUX
ejpam-66	147	20	positive	positive	ADJ
ejpam-66	147	21	.	.	PUNCT
ejpam-66	148	1	a	a	DET
ejpam-66	148	2	contradiction	contradiction	NOUN
ejpam-66	148	3	.	.	PUNCT
ejpam-66	149	1	then	then	ADV
ejpam-66	149	2	,	,	PUNCT
ejpam-66	149	3	fγ	fγ	PROPN
ejpam-66	149	4	has	have	VERB
ejpam-66	149	5	exactly	exactly	ADV
ejpam-66	149	6	one	one	NUM
ejpam-66	149	7	zero	zero	NUM
ejpam-66	149	8	η	η	NOUN
ejpam-66	149	9	?	?	PROPN
ejpam-66	149	10	.	.	PUNCT
ejpam-66	150	1	we	we	PRON
ejpam-66	150	2	define	define	VERB
ejpam-66	150	3	the	the	DET
ejpam-66	150	4	shifted	shift	VERB
ejpam-66	150	5	function	function	NOUN
ejpam-66	150	6	h	h	NOUN
ejpam-66	150	7	by	by	ADP
ejpam-66	150	8	:	:	PUNCT
ejpam-66	150	9	η	η	PROPN
ejpam-66	150	10	7−→	7−→	PROPN
ejpam-66	150	11	h(η	h(η	NOUN
ejpam-66	150	12	)	)	PUNCT
ejpam-66	150	13	=	=	SYM
ejpam-66	150	14	fγ(η+η	fγ(η+η	PROPN
ejpam-66	150	15	?	?	PUNCT
ejpam-66	150	16	)	)	PUNCT
ejpam-66	150	17	,	,	PUNCT
ejpam-66	150	18	which	which	PRON
ejpam-66	150	19	satisfies	satisfy	VERB
ejpam-66	150	20	h(0	h(0	NOUN
ejpam-66	150	21	)	)	PUNCT
ejpam-66	150	22	=	=	SYM
ejpam-66	150	23	0	0	NUM
ejpam-66	150	24	,	,	PUNCT
ejpam-66	150	25	h′(0	h′(0	ADJ
ejpam-66	150	26	)	)	PUNCT
ejpam-66	150	27	=	=	SYM
ejpam-66	150	28	δ	δ	PROPN
ejpam-66	150	29	and	and	CCONJ
ejpam-66	150	30	h′′(0	h′′(0	NOUN
ejpam-66	150	31	)	)	PUNCT
ejpam-66	150	32	>	>	X
ejpam-66	150	33	0	0	NUM
ejpam-66	150	34	,	,	PUNCT
ejpam-66	150	35	and	and	CCONJ
ejpam-66	150	36	we	we	PRON
ejpam-66	150	37	use	use	VERB
ejpam-66	150	38	the	the	DET
ejpam-66	150	39	above	above	ADJ
ejpam-66	150	40	analysis	analysis	NOUN
ejpam-66	150	41	to	to	PART
ejpam-66	150	42	conclude	conclude	VERB
ejpam-66	150	43	that	that	SCONJ
ejpam-66	150	44	h	h	NOUN
ejpam-66	150	45	is	be	AUX
ejpam-66	150	46	an	an	DET
ejpam-66	150	47	unbounded	unbounded	ADJ
ejpam-66	150	48	global	global	ADJ
ejpam-66	150	49	solution	solution	NOUN
ejpam-66	150	50	to	to	ADP
ejpam-66	150	51	(	(	PUNCT
ejpam-66	150	52	3.1	3.1	NUM
ejpam-66	150	53	)	)	PUNCT
ejpam-66	150	54	.	.	PUNCT
ejpam-66	151	1	3.2	3.2	NUM
ejpam-66	151	2	.	.	NUM
ejpam-66	151	3	reversed	reverse	VERB
ejpam-66	151	4	flows	flow	NOUN
ejpam-66	151	5	(	(	PUNCT
ejpam-66	151	6	δ	δ	X
ejpam-66	151	7	<	<	X
ejpam-66	151	8	0	0	NUM
ejpam-66	151	9	)	)	PUNCT
ejpam-66	151	10	now	now	ADV
ejpam-66	151	11	we	we	PRON
ejpam-66	151	12	pay	pay	VERB
ejpam-66	151	13	attention	attention	NOUN
ejpam-66	151	14	to	to	ADP
ejpam-66	151	15	the	the	DET
ejpam-66	151	16	case	case	NOUN
ejpam-66	151	17	of	of	ADP
ejpam-66	151	18	reversed	reverse	VERB
ejpam-66	151	19	flows	flow	NOUN
ejpam-66	151	20	(	(	PUNCT
ejpam-66	151	21	δ	δ	X
ejpam-66	151	22	<	<	X
ejpam-66	151	23	0	0	NUM
ejpam-66	151	24	)	)	PUNCT
ejpam-66	151	25	.	.	PUNCT
ejpam-66	152	1	first	first	ADV
ejpam-66	152	2	,	,	PUNCT
ejpam-66	152	3	we	we	PRON
ejpam-66	152	4	show	show	VERB
ejpam-66	152	5	that	that	SCONJ
ejpam-66	152	6	the	the	DET
ejpam-66	152	7	shooting	shooting	NOUN
ejpam-66	152	8	parameter	parameter	NOUN
ejpam-66	152	9	has	have	VERB
ejpam-66	152	10	to	to	PART
ejpam-66	152	11	be	be	AUX
ejpam-66	152	12	positive	positive	ADJ
ejpam-66	152	13	.	.	PUNCT
ejpam-66	153	1	zakia	zakia	NOUN
ejpam-66	153	2	hammouch	hammouch	PROPN
ejpam-66	153	3	/	/	SYM
ejpam-66	153	4	eur	eur	NOUN
ejpam-66	153	5	.	.	PUNCT
ejpam-66	154	1	j.	j.	PROPN
ejpam-66	154	2	pure	pure	PROPN
ejpam-66	154	3	appl	appl	PROPN
ejpam-66	154	4	.	.	PROPN
ejpam-66	154	5	math	math	PROPN
ejpam-66	154	6	,	,	PUNCT
ejpam-66	154	7	1	1	NUM
ejpam-66	154	8	(	(	PUNCT
ejpam-66	154	9	2008	2008	NUM
ejpam-66	154	10	)	)	PUNCT
ejpam-66	154	11	,	,	PUNCT
ejpam-66	154	12	(	(	PUNCT
ejpam-66	154	13	11	11	NUM
ejpam-66	154	14	-	-	SYM
ejpam-66	154	15	20	20	NUM
ejpam-66	154	16	)	)	PUNCT
ejpam-66	154	17	17	17	NUM
ejpam-66	154	18	proposition	proposition	NOUN
ejpam-66	154	19	3.1	3.1	NUM
ejpam-66	154	20	.	.	PUNCT
ejpam-66	155	1	let	let	VERB
ejpam-66	155	2	fγ	fγ	PROPN
ejpam-66	155	3	be	be	AUX
ejpam-66	155	4	a	a	DET
ejpam-66	155	5	solution	solution	NOUN
ejpam-66	155	6	to	to	ADP
ejpam-66	155	7	(	(	PUNCT
ejpam-66	155	8	3.1	3.1	NUM
ejpam-66	155	9	)	)	PUNCT
ejpam-66	155	10	with	with	ADP
ejpam-66	155	11	m	m	PROPN
ejpam-66	155	12	∈	∈	NOUN
ejpam-66	155	13	(	(	PUNCT
ejpam-66	155	14	−	−	PROPN
ejpam-66	155	15	1	1	NUM
ejpam-66	155	16	3n	3n	NUM
ejpam-66	155	17	,	,	PUNCT
ejpam-66	155	18	−m	−m	NOUN
ejpam-66	155	19	)	)	PUNCT
ejpam-66	155	20	,	,	PUNCT
ejpam-66	155	21	α	α	X
ejpam-66	155	22	<	<	X
ejpam-66	155	23	0	0	PROPN
ejpam-66	155	24	,	,	PUNCT
ejpam-66	155	25	δ	δ	PROPN
ejpam-66	155	26	<	<	X
ejpam-66	155	27	0	0	NUM
ejpam-66	155	28	and	and	CCONJ
ejpam-66	155	29	γ	γ	PROPN
ejpam-66	155	30	≤	≤	NOUN
ejpam-66	155	31	0	0	NUM
ejpam-66	155	32	,	,	PUNCT
ejpam-66	155	33	then	then	ADV
ejpam-66	155	34	the	the	DET
ejpam-66	155	35	condition	condition	NOUN
ejpam-66	155	36	(	(	PUNCT
ejpam-66	155	37	i	i	NOUN
ejpam-66	155	38	)	)	PUNCT
ejpam-66	155	39	is	be	AUX
ejpam-66	155	40	failed	fail	VERB
ejpam-66	155	41	.	.	PUNCT
ejpam-66	156	1	proof	proof	NOUN
ejpam-66	156	2	.	.	PUNCT
ejpam-66	157	1	let	let	VERB
ejpam-66	157	2	δ	δ	PRON
ejpam-66	157	3	<	<	X
ejpam-66	157	4	0	0	PROPN
ejpam-66	157	5	,	,	PUNCT
ejpam-66	157	6	if	if	SCONJ
ejpam-66	157	7	γ	γ	PRON
ejpam-66	157	8	≤	≤	X
ejpam-66	157	9	0	0	NUM
ejpam-66	158	1	then	then	ADV
ejpam-66	158	2	fγ	fγ	PROPN
ejpam-66	158	3	′′	′′	PROPN
ejpam-66	158	4	is	be	AUX
ejpam-66	158	5	negative	negative	ADJ
ejpam-66	158	6	on	on	ADP
ejpam-66	158	7	some	some	PRON
ejpam-66	158	8	(	(	PUNCT
ejpam-66	158	9	0,η0	0,η0	NOUN
ejpam-66	158	10	)	)	PUNCT
ejpam-66	158	11	,	,	PUNCT
ejpam-66	158	12	for	for	ADP
ejpam-66	158	13	η0	η0	ADJ
ejpam-66	158	14	small	small	ADJ
ejpam-66	158	15	,	,	PUNCT
ejpam-66	158	16	and	and	CCONJ
ejpam-66	158	17	equation	equation	NOUN
ejpam-66	158	18	(	(	PUNCT
ejpam-66	158	19	3.1	3.1	NUM
ejpam-66	158	20	)	)	PUNCT
ejpam-66	158	21	can	can	AUX
ejpam-66	158	22	be	be	AUX
ejpam-66	158	23	written	write	VERB
ejpam-66	158	24	as	as	ADP
ejpam-66	158	25	(	(	PUNCT
ejpam-66	158	26	fγ	fγ	PROPN
ejpam-66	158	27	′′ef	′′ef	NOUN
ejpam-66	158	28	)	)	PUNCT
ejpam-66	158	29	′	′	NUM
ejpam-66	159	1	=	=	NUM
ejpam-66	159	2	−	−	NOUN
ejpam-66	159	3	ef	ef	NOUN
ejpam-66	159	4	n	n	PRON
ejpam-66	160	1	|	|	ADV
ejpam-66	160	2	f	f	X
ejpam-66	160	3	′′γ	′′γ	NOUN
ejpam-66	161	1	|	|	ADV
ejpam-66	161	2	1−n	1−n	NUM
ejpam-66	161	3	h	h	NOUN
ejpam-66	161	4	m(1−	m(1−	PROPN
ejpam-66	161	5	f	f	PROPN
ejpam-66	161	6	′2γ	′2γ	PROPN
ejpam-66	161	7	)	)	PUNCT
ejpam-66	162	1	+	+	VERB
ejpam-66	162	2	m(1−	m(1−	PROPN
ejpam-66	162	3	f	f	PROPN
ejpam-66	162	4	′γ	′γ	PROPN
ejpam-66	162	5	)	)	PUNCT
ejpam-66	162	6	i	i	PRON
ejpam-66	162	7	,	,	PUNCT
ejpam-66	162	8	where	where	SCONJ
ejpam-66	162	9	f(η	f(η	NOUN
ejpam-66	162	10	)	)	PUNCT
ejpam-66	162	11	=	=	PUNCT
ejpam-66	163	1	a	a	DET
ejpam-66	163	2	n	n	NUM
ejpam-66	163	3	∫	∫	PROPN
ejpam-66	163	4	0	0	PROPN
ejpam-66	163	5	η	η	PROPN
ejpam-66	163	6	fγ|	fγ|	PROPN
ejpam-66	163	7	fγ′′|1−ndτ	fγ′′|1−ndτ	NOUN
ejpam-66	163	8	.	.	PUNCT
ejpam-66	164	1	from	from	ADP
ejpam-66	164	2	this	this	PRON
ejpam-66	164	3	we	we	PRON
ejpam-66	164	4	see	see	VERB
ejpam-66	164	5	that	that	SCONJ
ejpam-66	164	6	η	η	PROPN
ejpam-66	164	7	7−→	7−→	PROPN
ejpam-66	164	8	f	f	PROPN
ejpam-66	164	9	′′ef	′′ef	NOUN
ejpam-66	164	10	decreases	decrease	NOUN
ejpam-66	164	11	and	and	CCONJ
ejpam-66	164	12	then	then	ADV
ejpam-66	164	13	f	f	PROPN
ejpam-66	164	14	′′γ	′′γ	NOUN
ejpam-66	164	15	(	(	PUNCT
ejpam-66	164	16	η)≤	η)≤	X
ejpam-66	164	17	0	0	NUM
ejpam-66	164	18	for	for	ADP
ejpam-66	164	19	all	all	DET
ejpam-66	164	20	η	η	PROPN
ejpam-66	164	21	∈	∈	PROPN
ejpam-66	164	22	(	(	PUNCT
ejpam-66	164	23	0,ηγ	0,ηγ	NOUN
ejpam-66	164	24	)	)	PUNCT
ejpam-66	164	25	.	.	PUNCT
ejpam-66	165	1	it	it	PRON
ejpam-66	165	2	follows	follow	VERB
ejpam-66	165	3	that	that	SCONJ
ejpam-66	165	4	f	f	PROPN
ejpam-66	165	5	′γ	′γ	NOUN
ejpam-66	165	6	is	be	AUX
ejpam-66	165	7	decreasing	decrease	VERB
ejpam-66	165	8	on	on	ADP
ejpam-66	165	9	(	(	PUNCT
ejpam-66	165	10	0,ηγ	0,ηγ	NOUN
ejpam-66	165	11	)	)	PUNCT
ejpam-66	165	12	and	and	CCONJ
ejpam-66	165	13	then	then	ADV
ejpam-66	165	14	the	the	DET
ejpam-66	165	15	condition	condition	NOUN
ejpam-66	165	16	(	(	PUNCT
ejpam-66	165	17	i	i	NOUN
ejpam-66	165	18	)	)	PUNCT
ejpam-66	165	19	could	could	AUX
ejpam-66	165	20	not	not	PART
ejpam-66	165	21	be	be	AUX
ejpam-66	165	22	satisfied	satisfied	ADJ
ejpam-66	165	23	.	.	PUNCT
ejpam-66	166	1	theorem	theorem	ADJ
ejpam-66	166	2	3.2	3.2	NUM
ejpam-66	166	3	.	.	PUNCT
ejpam-66	167	1	let	let	VERB
ejpam-66	167	2	δ	δ	PRON
ejpam-66	167	3	<	<	X
ejpam-66	167	4	0,α	0,α	PROPN
ejpam-66	167	5	>	>	X
ejpam-66	167	6	0	0	PUNCT
ejpam-66	167	7	and	and	CCONJ
ejpam-66	167	8	m	m	PROPN
ejpam-66	167	9	∈	∈	NOUN
ejpam-66	167	10	(	(	PUNCT
ejpam-66	167	11	−	−	PROPN
ejpam-66	167	12	1	1	NUM
ejpam-66	167	13	3n	3n	NUM
ejpam-66	167	14	,	,	PUNCT
ejpam-66	167	15	−m	−m	NOUN
ejpam-66	167	16	)	)	PUNCT
ejpam-66	167	17	.	.	PUNCT
ejpam-66	168	1	for	for	ADP
ejpam-66	168	2	any	any	DET
ejpam-66	168	3	γ	γ	X
ejpam-66	168	4	>	>	X
ejpam-66	168	5	0	0	PUNCT
ejpam-66	169	1	satisfying	satisfy	VERB
ejpam-66	169	2	αγn−	αγn−	NOUN
ejpam-66	169	3	1	1	NUM
ejpam-66	169	4	2	2	NUM
ejpam-66	169	5	δ2γn−1	δ2γn−1	NOUN
ejpam-66	169	6	+	+	CCONJ
ejpam-66	169	7	aα2δ−	aα2δ−	NOUN
ejpam-66	169	8	m	m	VERB
ejpam-66	169	9	2	2	NUM
ejpam-66	169	10	α2	α2	ADJ
ejpam-66	169	11	>	>	X
ejpam-66	169	12	0	0	PUNCT
ejpam-66	170	1	(	(	PUNCT
ejpam-66	170	2	?	?	PUNCT
ejpam-66	170	3	?	?	PUNCT
ejpam-66	170	4	)	)	PUNCT
ejpam-66	170	5	,	,	PUNCT
ejpam-66	170	6	problem	problem	NOUN
ejpam-66	170	7	(	(	PUNCT
ejpam-66	170	8	3.1	3.1	NUM
ejpam-66	170	9	)	)	PUNCT
ejpam-66	170	10	has	have	VERB
ejpam-66	170	11	a	a	DET
ejpam-66	170	12	global	global	ADJ
ejpam-66	170	13	unbounded	unbounded	ADJ
ejpam-66	170	14	solution	solution	NOUN
ejpam-66	170	15	.	.	PUNCT
ejpam-66	171	1	proof	proof	NOUN
ejpam-66	171	2	.	.	PUNCT
ejpam-66	172	1	let	let	VERB
ejpam-66	172	2	fγ	fγ	PROPN
ejpam-66	172	3	be	be	AUX
ejpam-66	172	4	the	the	DET
ejpam-66	172	5	local	local	ADJ
ejpam-66	172	6	solution	solution	NOUN
ejpam-66	172	7	of	of	ADP
ejpam-66	172	8	(	(	PUNCT
ejpam-66	172	9	3.1	3.1	NUM
ejpam-66	172	10	)	)	PUNCT
ejpam-66	172	11	,	,	PUNCT
ejpam-66	172	12	define	define	VERB
ejpam-66	172	13	the	the	DET
ejpam-66	172	14	auxiliary	auxiliary	ADJ
ejpam-66	172	15	function	function	NOUN
ejpam-66	172	16	g(η	g(η	PROPN
ejpam-66	172	17	)	)	PUNCT
ejpam-66	173	1	=	=	SYM
ejpam-66	173	2	fγ	fγ	PROPN
ejpam-66	173	3	fγ	fγ	PROPN
ejpam-66	173	4	′′|	′′|	PROPN
ejpam-66	173	5	f	f	PROPN
ejpam-66	173	6	′′γ	′′γ	NOUN
ejpam-66	173	7	|	|	ADV
ejpam-66	173	8	n−1−	n−1−	NUM
ejpam-66	173	9	1	1	NUM
ejpam-66	173	10	2	2	NUM
ejpam-66	173	11	f	f	NOUN
ejpam-66	173	12	′2γ	′2γ	PROPN
ejpam-66	174	1	|	|	ADV
ejpam-66	174	2	f	f	PROPN
ejpam-66	174	3	′′	′′	PROPN
ejpam-66	174	4	γ	γ	PROPN
ejpam-66	174	5	|	|	ADV
ejpam-66	174	6	n−1	n−1	PROPN
ejpam-66	174	7	+	+	PROPN
ejpam-66	174	8	a	a	PRON
ejpam-66	174	9	f	f	NOUN
ejpam-66	174	10	2	2	NUM
ejpam-66	174	11	γ	γ	X
ejpam-66	174	12	f	f	PROPN
ejpam-66	174	13	′γ	′γ	VERB
ejpam-66	174	14	−	−	PROPN
ejpam-66	174	15	m	m	NOUN
ejpam-66	174	16	2	2	NUM
ejpam-66	174	17	f	f	SYM
ejpam-66	174	18	2	2	NUM
ejpam-66	174	19	γ	γ	X
ejpam-66	174	20	,	,	PUNCT
ejpam-66	174	21	(	(	PUNCT
ejpam-66	174	22	3.6	3.6	NUM
ejpam-66	174	23	)	)	PUNCT
ejpam-66	174	24	which	which	PRON
ejpam-66	174	25	satisfies	satisfy	VERB
ejpam-66	174	26	g′(η	g′(η	NOUN
ejpam-66	174	27	)	)	PUNCT
ejpam-66	174	28	=	=	SYM
ejpam-66	174	29	−(m+m	−(m+m	NOUN
ejpam-66	174	30	)	)	PUNCT
ejpam-66	174	31	fγ+	fγ+	ADJ
ejpam-66	174	32	�	�	PROPN
ejpam-66	174	33	2a+m+	2a+m+	NUM
ejpam-66	174	34	(	(	PUNCT
ejpam-66	174	35	n−	n−	NOUN
ejpam-66	174	36	1)a	1)a	NUM
ejpam-66	174	37	2n	2n	NUM
ejpam-66	174	38	�	�	PROPN
ejpam-66	174	39	f	f	PROPN
ejpam-66	174	40	′2γ	′2γ	PROPN
ejpam-66	174	41	fγ+	fγ+	ADJ
ejpam-66	174	42	n−	n−	NOUN
ejpam-66	174	43	1	1	NUM
ejpam-66	174	44	2n	2n	NUM
ejpam-66	174	45	f	f	PROPN
ejpam-66	174	46	′2γ	′2γ	PROPN
ejpam-66	174	47	f	f	PROPN
ejpam-66	174	48	′′γ	′′γ	NOUN
ejpam-66	174	49	−1	−1	NOUN
ejpam-66	174	50	h	h	NOUN
ejpam-66	174	51	m(1−	m(1−	PROPN
ejpam-66	174	52	f	f	PROPN
ejpam-66	175	1	′γ	′γ	ADJ
ejpam-66	175	2	2	2	NUM
ejpam-66	175	3	)	)	PUNCT
ejpam-66	175	4	+	+	NOUN
ejpam-66	175	5	m(1−	m(1−	PROPN
ejpam-66	175	6	f	f	PROPN
ejpam-66	175	7	′γ	′γ	PROPN
ejpam-66	175	8	)	)	PUNCT
ejpam-66	175	9	i	i	PRON
ejpam-66	175	10	,	,	PUNCT
ejpam-66	175	11	(	(	PUNCT
ejpam-66	175	12	3.7	3.7	NUM
ejpam-66	175	13	)	)	PUNCT
ejpam-66	175	14	and	and	CCONJ
ejpam-66	175	15	g(0	g(0	PROPN
ejpam-66	175	16	)	)	PUNCT
ejpam-66	175	17	>	>	X
ejpam-66	175	18	0	0	X
ejpam-66	175	19	.	.	PUNCT
ejpam-66	176	1	since	since	SCONJ
ejpam-66	176	2	f	f	PROPN
ejpam-66	176	3	′γ	′γ	X
ejpam-66	176	4	<	<	X
ejpam-66	176	5	0	0	NUM
ejpam-66	176	6	,	,	PUNCT
ejpam-66	176	7	the	the	DET
ejpam-66	176	8	function	function	NOUN
ejpam-66	176	9	fγ	fγ	ADV
ejpam-66	176	10	is	be	AUX
ejpam-66	176	11	negative	negative	ADJ
ejpam-66	176	12	on	on	ADP
ejpam-66	176	13	a	a	DET
ejpam-66	176	14	small	small	ADJ
ejpam-66	176	15	neighborhood	neighborhood	NOUN
ejpam-66	176	16	of	of	ADP
ejpam-66	176	17	zero	zero	NUM
ejpam-66	176	18	.	.	PUNCT
ejpam-66	177	1	assume	assume	VERB
ejpam-66	177	2	that	that	SCONJ
ejpam-66	177	3	there	there	PRON
ejpam-66	177	4	exists	exist	VERB
ejpam-66	177	5	η1	η1	NOUN
ejpam-66	177	6	∈	∈	PROPN
ejpam-66	177	7	(	(	PUNCT
ejpam-66	177	8	0,∞	0,∞	NOUN
ejpam-66	177	9	)	)	PUNCT
ejpam-66	177	10	such	such	ADJ
ejpam-66	177	11	that	that	PRON
ejpam-66	177	12	fγ(η	fγ(η	NUM
ejpam-66	177	13	)	)	PUNCT
ejpam-66	177	14	>	>	X
ejpam-66	178	1	0	0	NUM
ejpam-66	178	2	,	,	PUNCT
ejpam-66	178	3	f	f	PROPN
ejpam-66	178	4	′γ	′γ	X
ejpam-66	178	5	<	<	X
ejpam-66	178	6	0	0	NUM
ejpam-66	178	7	∀η	∀η	NOUN
ejpam-66	178	8	∈	∈	PROPN
ejpam-66	179	1	[	[	X
ejpam-66	179	2	0,η1	0,η1	X
ejpam-66	179	3	)	)	PUNCT
ejpam-66	179	4	and	and	CCONJ
ejpam-66	179	5	fγ(η1	fγ(η1	NUM
ejpam-66	179	6	)	)	PUNCT
ejpam-66	179	7	=	=	SYM
ejpam-66	180	1	0	0	X
ejpam-66	180	2	.	.	PUNCT
ejpam-66	181	1	hence	hence	ADV
ejpam-66	181	2	g	g	PROPN
ejpam-66	181	3	is	be	AUX
ejpam-66	181	4	a	a	DET
ejpam-66	181	5	monotonic	monotonic	ADJ
ejpam-66	181	6	nondecreasing	nondecrease	VERB
ejpam-66	181	7	function	function	NOUN
ejpam-66	181	8	on	on	ADP
ejpam-66	181	9	(	(	PUNCT
ejpam-66	181	10	0,η1	0,η1	NUM
ejpam-66	181	11	)	)	PUNCT
ejpam-66	181	12	and	and	CCONJ
ejpam-66	181	13	then	then	ADV
ejpam-66	181	14	g(η1	g(η1	PROPN
ejpam-66	181	15	)	)	PUNCT
ejpam-66	181	16	≤	≤	NOUN
ejpam-66	181	17	0	0	NUM
ejpam-66	181	18	.	.	PUNCT
ejpam-66	182	1	then	then	ADV
ejpam-66	182	2	g(η	g(η	VERB
ejpam-66	182	3	)	)	PUNCT
ejpam-66	182	4	≤	≤	NOUN
ejpam-66	182	5	0	0	NUM
ejpam-66	182	6	for	for	ADP
ejpam-66	182	7	all	all	DET
ejpam-66	182	8	η	η	PROPN
ejpam-66	182	9	∈	∈	PROPN
ejpam-66	182	10	(	(	PUNCT
ejpam-66	182	11	0,η1	0,η1	NOUN
ejpam-66	182	12	)	)	PUNCT
ejpam-66	182	13	,	,	PUNCT
ejpam-66	182	14	in	in	ADP
ejpam-66	182	15	particular	particular	ADJ
ejpam-66	182	16	g(0	g(0	NOUN
ejpam-66	182	17	)	)	PUNCT
ejpam-66	182	18	≤	≤	NOUN
ejpam-66	182	19	0	0	NUM
ejpam-66	182	20	,	,	PUNCT
ejpam-66	182	21	which	which	PRON
ejpam-66	182	22	is	be	AUX
ejpam-66	182	23	a	a	DET
ejpam-66	182	24	contradiction	contradiction	NOUN
ejpam-66	182	25	with	with	ADP
ejpam-66	182	26	(	(	PUNCT
ejpam-66	182	27	?	?	PUNCT
ejpam-66	182	28	?	?	PUNCT
ejpam-66	182	29	)	)	PUNCT
ejpam-66	182	30	.	.	PUNCT
ejpam-66	183	1	therefore	therefore	ADV
ejpam-66	183	2	we	we	PRON
ejpam-66	183	3	have	have	VERB
ejpam-66	183	4	:	:	PUNCT
ejpam-66	183	5	•	•	NOUN
ejpam-66	183	6	either	either	CCONJ
ejpam-66	183	7	fγ	fγ	PROPN
ejpam-66	183	8	>	>	X
ejpam-66	183	9	0	0	PUNCT
ejpam-66	183	10	and	and	CCONJ
ejpam-66	183	11	f	f	PROPN
ejpam-66	183	12	′γ	′γ	ADJ
ejpam-66	183	13	≤	≤	ADV
ejpam-66	183	14	0	0	NUM
ejpam-66	183	15	∀η≥	∀η≥	VERB
ejpam-66	183	16	0	0	NUM
ejpam-66	183	17	•or	•or	PROPN
ejpam-66	183	18	∃η2	∃η2	NOUN
ejpam-66	183	19	>	>	X
ejpam-66	183	20	0	0	NUM
ejpam-66	183	21	:	:	PUNCT
ejpam-66	183	22	fγ	fγ	PROPN
ejpam-66	183	23	>	>	X
ejpam-66	183	24	0	0	PROPN
ejpam-66	183	25	,	,	PUNCT
ejpam-66	183	26	f	f	PROPN
ejpam-66	183	27	′γ	′γ	X
ejpam-66	183	28	<	<	X
ejpam-66	183	29	0	0	NUM
ejpam-66	183	30	∀η	∀η	NOUN
ejpam-66	183	31	∈	∈	PROPN
ejpam-66	183	32	(	(	PUNCT
ejpam-66	183	33	0,η2	0,η2	NOUN
ejpam-66	183	34	)	)	PUNCT
ejpam-66	183	35	,	,	PUNCT
ejpam-66	183	36	f	f	PROPN
ejpam-66	183	37	′γ(η2	′γ(η2	PROPN
ejpam-66	183	38	)	)	PUNCT
ejpam-66	183	39	=	=	SYM
ejpam-66	183	40	0	0	NUM
ejpam-66	183	41	and	and	CCONJ
ejpam-66	183	42	fγ(η2	fγ(η2	NOUN
ejpam-66	183	43	)	)	PUNCT
ejpam-66	183	44	is	be	AUX
ejpam-66	183	45	a	a	DET
ejpam-66	183	46	local	local	ADJ
ejpam-66	183	47	maximum	maximum	NOUN
ejpam-66	183	48	.	.	PUNCT
ejpam-66	184	1	assume	assume	VERB
ejpam-66	184	2	that	that	SCONJ
ejpam-66	184	3	the	the	DET
ejpam-66	184	4	first	first	ADJ
ejpam-66	184	5	assertion	assertion	NOUN
ejpam-66	184	6	holds	hold	VERB
ejpam-66	184	7	,	,	PUNCT
ejpam-66	184	8	then	then	ADV
ejpam-66	184	9	fγ	fγ	PROPN
ejpam-66	184	10	has	have	VERB
ejpam-66	184	11	a	a	DET
ejpam-66	184	12	finit	finit	ADJ
ejpam-66	184	13	limit	limit	NOUN
ejpam-66	184	14	at	at	ADP
ejpam-66	184	15	infinity	infinity	NOUN
ejpam-66	184	16	,	,	PUNCT
ejpam-66	184	17	say	say	VERB
ejpam-66	184	18	l	l	PROPN
ejpam-66	184	19	∈	∈	PROPN
ejpam-66	184	20	(	(	PUNCT
ejpam-66	184	21	0,∞	0,∞	NOUN
ejpam-66	184	22	)	)	PUNCT
ejpam-66	184	23	and	and	CCONJ
ejpam-66	184	24	there	there	PRON
ejpam-66	184	25	exists	exist	VERB
ejpam-66	184	26	a	a	DET
ejpam-66	184	27	sequence	sequence	NOUN
ejpam-66	184	28	(	(	PUNCT
ejpam-66	184	29	χk)k	χk)k	PROPN
ejpam-66	184	30	≥	≥	NOUN
ejpam-66	184	31	0	0	NUM
ejpam-66	184	32	tending	tend	VERB
ejpam-66	184	33	to	to	ADP
ejpam-66	184	34	infinity	infinity	NOUN
ejpam-66	184	35	with	with	ADP
ejpam-66	184	36	k	k	PROPN
ejpam-66	184	37	such	such	ADJ
ejpam-66	184	38	that	that	SCONJ
ejpam-66	184	39	f	f	PROPN
ejpam-66	184	40	′γ(χk	′γ(χk	ADV
ejpam-66	184	41	)	)	PUNCT
ejpam-66	184	42	goes	go	VERB
ejpam-66	184	43	to	to	ADP
ejpam-66	184	44	zero	zero	NUM
ejpam-66	184	45	at	at	ADP
ejpam-66	184	46	infinity	infinity	NOUN
ejpam-66	184	47	.	.	PUNCT
ejpam-66	185	1	if	if	SCONJ
ejpam-66	185	2	f	f	PROPN
ejpam-66	185	3	′γ	′γ	PRON
ejpam-66	185	4	is	be	AUX
ejpam-66	185	5	monotonic	monotonic	ADJ
ejpam-66	185	6	(	(	PUNCT
ejpam-66	185	7	resp	resp	NOUN
ejpam-66	185	8	.	.	PUNCT
ejpam-66	186	1	non	non	ADJ
ejpam-66	186	2	-	-	ADJ
ejpam-66	186	3	monotonic	monotonic	ADJ
ejpam-66	186	4	on	on	ADP
ejpam-66	186	5	any	any	DET
ejpam-66	186	6	interval	interval	NOUN
ejpam-66	186	7	(	(	PUNCT
ejpam-66	186	8	η,∞	η,∞	NOUN
ejpam-66	186	9	)	)	PUNCT
ejpam-66	186	10	)	)	PUNCT
ejpam-66	187	1	we	we	PRON
ejpam-66	187	2	get	get	VERB
ejpam-66	187	3	f	f	NOUN
ejpam-66	187	4	′γ	′γ	PRON
ejpam-66	187	5	goes	go	VERB
ejpam-66	187	6	to	to	ADP
ejpam-66	187	7	zero	zero	NUM
ejpam-66	187	8	at	at	ADP
ejpam-66	187	9	infinity	infinity	NOUN
ejpam-66	187	10	and	and	CCONJ
ejpam-66	187	11	then	then	ADV
ejpam-66	187	12	f	f	PROPN
ejpam-66	187	13	′′γ	′′γ	NOUN
ejpam-66	187	14	(	(	PUNCT
ejpam-66	187	15	δk	δk	NOUN
ejpam-66	187	16	)	)	PUNCT
ejpam-66	187	17	goes	go	VERB
ejpam-66	187	18	to	to	ADP
ejpam-66	187	19	zero	zero	NUM
ejpam-66	187	20	at	at	ADP
ejpam-66	187	21	infinity	infinity	NOUN
ejpam-66	187	22	for	for	ADP
ejpam-66	187	23	a	a	DET
ejpam-66	187	24	sequence	sequence	NOUN
ejpam-66	187	25	(	(	PUNCT
ejpam-66	187	26	δk)k≥0	δk)k≥0	NOUN
ejpam-66	187	27	going	go	VERB
ejpam-66	187	28	to	to	AUX
ejpam-66	187	29	zakia	zakia	VERB
ejpam-66	187	30	hammouch	hammouch	ADJ
ejpam-66	187	31	/	/	SYM
ejpam-66	187	32	eur	eur	NOUN
ejpam-66	187	33	.	.	PUNCT
ejpam-66	188	1	j.	j.	PROPN
ejpam-66	188	2	pure	pure	PROPN
ejpam-66	188	3	appl	appl	PROPN
ejpam-66	188	4	.	.	PROPN
ejpam-66	188	5	math	math	PROPN
ejpam-66	188	6	,	,	PUNCT
ejpam-66	188	7	1	1	NUM
ejpam-66	188	8	(	(	PUNCT
ejpam-66	188	9	2008	2008	NUM
ejpam-66	188	10	)	)	PUNCT
ejpam-66	188	11	,	,	PUNCT
ejpam-66	188	12	(	(	PUNCT
ejpam-66	188	13	11	11	NUM
ejpam-66	188	14	-	-	SYM
ejpam-66	188	15	20	20	NUM
ejpam-66	188	16	)	)	PUNCT
ejpam-66	188	17	18	18	NUM
ejpam-66	188	18	infinity	infinity	NOUN
ejpam-66	188	19	with	with	ADP
ejpam-66	188	20	k	k	PROPN
ejpam-66	188	21	(	(	PUNCT
ejpam-66	188	22	resp	resp	PROPN
ejpam-66	188	23	.	.	PUNCT
ejpam-66	189	1	f	f	PROPN
ejpam-66	189	2	′′γ	′′γ	NOUN
ejpam-66	189	3	(	(	PUNCT
ejpam-66	189	4	δk	δk	NOUN
ejpam-66	189	5	)	)	PUNCT
ejpam-66	189	6	=	=	SYM
ejpam-66	189	7	0	0	NUM
ejpam-66	189	8	and	and	CCONJ
ejpam-66	189	9	f	f	PROPN
ejpam-66	189	10	′γ(δk	′γ(δk	PROPN
ejpam-66	189	11	)	)	PUNCT
ejpam-66	189	12	goes	go	VERB
ejpam-66	189	13	to	to	ADP
ejpam-66	189	14	zero	zero	NUM
ejpam-66	189	15	at	at	ADP
ejpam-66	189	16	infinity	infinity	NOUN
ejpam-66	189	17	)	)	PUNCT
ejpam-66	189	18	.	.	PUNCT
ejpam-66	190	1	because	because	SCONJ
ejpam-66	190	2	g(0	g(0	NOUN
ejpam-66	190	3	)	)	PUNCT
ejpam-66	190	4	<	<	X
ejpam-66	190	5	g(δk	g(δk	PROPN
ejpam-66	190	6	)	)	PUNCT
ejpam-66	190	7	,	,	PUNCT
ejpam-66	190	8	we	we	PRON
ejpam-66	190	9	obtain	obtain	VERB
ejpam-66	190	10	a	a	DET
ejpam-66	190	11	contradiction	contradiction	NOUN
ejpam-66	190	12	by	by	ADP
ejpam-66	190	13	taking	take	VERB
ejpam-66	190	14	the	the	DET
ejpam-66	190	15	limit	limit	NOUN
ejpam-66	190	16	as	as	SCONJ
ejpam-66	190	17	k	k	PROPN
ejpam-66	190	18	goes	go	VERB
ejpam-66	190	19	to	to	ADP
ejpam-66	190	20	infinity	infinity	NOUN
ejpam-66	190	21	.	.	PUNCT
ejpam-66	191	1	now	now	ADV
ejpam-66	191	2	,	,	PUNCT
ejpam-66	191	3	we	we	PRON
ejpam-66	191	4	claim	claim	VERB
ejpam-66	191	5	that	that	SCONJ
ejpam-66	191	6	the	the	DET
ejpam-66	191	7	function	function	NOUN
ejpam-66	191	8	fγ	fγ	ADV
ejpam-66	191	9	can	can	AUX
ejpam-66	191	10	not	not	PART
ejpam-66	191	11	have	have	VERB
ejpam-66	191	12	a	a	DET
ejpam-66	191	13	local	local	ADJ
ejpam-66	191	14	maximum	maximum	NOUN
ejpam-66	191	15	after	after	ADP
ejpam-66	191	16	η2	η2	NOUN
ejpam-66	191	17	.	.	PUNCT
ejpam-66	192	1	actually	actually	ADV
ejpam-66	192	2	,	,	PUNCT
ejpam-66	192	3	assume	assume	VERB
ejpam-66	192	4	there	there	PRON
ejpam-66	192	5	exists	exist	VERB
ejpam-66	192	6	η3	η3	NOUN
ejpam-66	192	7	>	>	X
ejpam-66	192	8	η2	η2	VERB
ejpam-66	192	9	such	such	ADJ
ejpam-66	192	10	that	that	SCONJ
ejpam-66	192	11	fγ(η3	fγ(η3	NOUN
ejpam-66	192	12	)	)	PUNCT
ejpam-66	192	13	is	be	AUX
ejpam-66	192	14	a	a	DET
ejpam-66	192	15	local	local	ADJ
ejpam-66	192	16	maximum	maximum	NOUN
ejpam-66	192	17	.	.	PUNCT
ejpam-66	193	1	at	at	ADP
ejpam-66	193	2	this	this	DET
ejpam-66	193	3	point	point	NOUN
ejpam-66	193	4	the	the	DET
ejpam-66	193	5	function	function	NOUN
ejpam-66	193	6	g	g	NOUN
ejpam-66	193	7	takes	take	VERB
ejpam-66	193	8	a	a	DET
ejpam-66	193	9	negative	negative	ADJ
ejpam-66	193	10	value	value	NOUN
ejpam-66	193	11	and	and	CCONJ
ejpam-66	193	12	satisfies	satisfy	VERB
ejpam-66	193	13	g(η3)≥	g(η3)≥	PROPN
ejpam-66	193	14	g(0	g(0	PROPN
ejpam-66	193	15	)	)	PUNCT
ejpam-66	193	16	a	a	DET
ejpam-66	193	17	contradiction	contradiction	NOUN
ejpam-66	193	18	.	.	PUNCT
ejpam-66	194	1	since	since	SCONJ
ejpam-66	194	2	fγ	fγ	PROPN
ejpam-66	194	3	is	be	AUX
ejpam-66	194	4	monotonic	monotonic	ADV
ejpam-66	194	5	increasing	increase	VERB
ejpam-66	194	6	after	after	ADP
ejpam-66	194	7	η2	η2	NOUN
ejpam-66	194	8	we	we	PRON
ejpam-66	194	9	deduce	deduce	VERB
ejpam-66	194	10	as	as	ADP
ejpam-66	194	11	the	the	DET
ejpam-66	194	12	above	above	NOUN
ejpam-66	194	13	that	that	PRON
ejpam-66	194	14	is	be	AUX
ejpam-66	194	15	a	a	DET
ejpam-66	194	16	global	global	ADJ
ejpam-66	194	17	solution	solution	NOUN
ejpam-66	194	18	.	.	PUNCT
ejpam-66	195	1	next	next	ADV
ejpam-66	195	2	,	,	PUNCT
ejpam-66	195	3	we	we	PRON
ejpam-66	195	4	argue	argue	VERB
ejpam-66	195	5	as	as	ADP
ejpam-66	195	6	in	in	ADP
ejpam-66	195	7	the	the	DET
ejpam-66	195	8	proof	proof	NOUN
ejpam-66	195	9	of	of	ADP
ejpam-66	195	10	theorem	theorem	PROPN
ejpam-66	195	11	.	.	PROPN
ejpam-66	195	12	3.1	3.1	NUM
ejpam-66	195	13	to	to	PART
ejpam-66	195	14	show	show	VERB
ejpam-66	195	15	that	that	SCONJ
ejpam-66	195	16	fγ	fγ	PROPN
ejpam-66	195	17	is	be	AUX
ejpam-66	195	18	unbounded	unbounded	ADJ
ejpam-66	195	19	at	at	ADP
ejpam-66	195	20	infinity	infinity	NOUN
ejpam-66	195	21	and	and	CCONJ
ejpam-66	195	22	satisfies	satisfie	NOUN
ejpam-66	195	23	(	(	PUNCT
ejpam-66	195	24	i	i	NOUN
ejpam-66	195	25	)	)	PUNCT
ejpam-66	195	26	and	and	CCONJ
ejpam-66	195	27	(	(	PUNCT
ejpam-66	195	28	ii	ii	NOUN
ejpam-66	195	29	)	)	PUNCT
ejpam-66	195	30	.	.	PUNCT
ejpam-66	196	1	3.3	3.3	NUM
ejpam-66	196	2	.	.	PUNCT
ejpam-66	197	1	flow	flow	VERB
ejpam-66	197	2	with	with	ADP
ejpam-66	197	3	large	large	ADJ
ejpam-66	197	4	initial	initial	ADJ
ejpam-66	197	5	velocity	velocity	NOUN
ejpam-66	197	6	(	(	PUNCT
ejpam-66	197	7	δ	δ	X
ejpam-66	197	8	�	�	PROPN
ejpam-66	197	9	1	1	NUM
ejpam-66	197	10	)	)	PUNCT
ejpam-66	197	11	in	in	ADP
ejpam-66	197	12	this	this	DET
ejpam-66	197	13	subsection	subsection	NOUN
ejpam-66	197	14	,	,	PUNCT
ejpam-66	197	15	we	we	PRON
ejpam-66	197	16	construct	construct	VERB
ejpam-66	197	17	asymptotic	asymptotic	ADJ
ejpam-66	197	18	solutions	solution	NOUN
ejpam-66	197	19	to	to	ADP
ejpam-66	197	20	problem	problem	NOUN
ejpam-66	197	21	(	(	PUNCT
ejpam-66	197	22	3.1	3.1	NUM
ejpam-66	197	23	)	)	PUNCT
ejpam-66	197	24	when	when	SCONJ
ejpam-66	197	25	the	the	DET
ejpam-66	197	26	real	real	ADJ
ejpam-66	197	27	δ	δ	PROPN
ejpam-66	197	28	is	be	AUX
ejpam-66	197	29	very	very	ADV
ejpam-66	197	30	large	large	ADJ
ejpam-66	197	31	.	.	PUNCT
ejpam-66	198	1	adopting	adopt	VERB
ejpam-66	198	2	the	the	DET
ejpam-66	198	3	method	method	NOUN
ejpam-66	198	4	used	use	VERB
ejpam-66	198	5	in	in	ADP
ejpam-66	198	6	[	[	X
ejpam-66	198	7	23	23	NUM
ejpam-66	198	8	]	]	PUNCT
ejpam-66	198	9	by	by	ADP
ejpam-66	198	10	aly	aly	PROPN
ejpam-66	198	11	et	et	PROPN
ejpam-66	198	12	al	al	PROPN
ejpam-66	198	13	.	.	PROPN
ejpam-66	198	14	,	,	PUNCT
ejpam-66	198	15	we	we	PRON
ejpam-66	198	16	assume	assume	VERB
ejpam-66	198	17	that	that	SCONJ
ejpam-66	198	18	such	such	ADJ
ejpam-66	198	19	solutions	solution	NOUN
ejpam-66	198	20	can	can	AUX
ejpam-66	198	21	be	be	AUX
ejpam-66	198	22	written	write	VERB
ejpam-66	198	23	under	under	ADP
ejpam-66	198	24	the	the	DET
ejpam-66	198	25	following	follow	VERB
ejpam-66	198	26	form	form	NOUN
ejpam-66	198	27	f	f	PROPN
ejpam-66	198	28	(	(	PUNCT
ejpam-66	198	29	η	η	PROPN
ejpam-66	198	30	)	)	PUNCT
ejpam-66	198	31	=	=	SYM
ejpam-66	198	32	η+	η+	PUNCT
ejpam-66	198	33	ξr	ξr	X
ejpam-66	198	34	g(t	g(t	PROPN
ejpam-66	198	35	)	)	PUNCT
ejpam-66	198	36	,	,	PUNCT
ejpam-66	198	37	where	where	SCONJ
ejpam-66	198	38	t	t	NOUN
ejpam-66	198	39	=	=	SYM
ejpam-66	198	40	ξsη	ξsη	PROPN
ejpam-66	198	41	,	,	PUNCT
ejpam-66	198	42	ξ=	ξ=	PROPN
ejpam-66	198	43	δ−	δ−	PROPN
ejpam-66	198	44	1	1	NUM
ejpam-66	198	45	and	and	CCONJ
ejpam-66	198	46	r	r	NOUN
ejpam-66	198	47	,	,	PUNCT
ejpam-66	198	48	s	s	PROPN
ejpam-66	198	49	∈	∈	PROPN
ejpam-66	198	50	r.	r.	PROPN
ejpam-66	198	51	then	then	ADV
ejpam-66	198	52	problem	problem	NOUN
ejpam-66	198	53	(	(	PUNCT
ejpam-66	198	54	3.1	3.1	NUM
ejpam-66	198	55	)	)	PUNCT
ejpam-66	198	56	reads	read	VERB
ejpam-66	198	57			NOUN
ejpam-66	198	58			ADP
ejpam-66	198	59			PROPN
ejpam-66	198	60	ξ(r+2s)(n−2)(|g	ξ(r+2s)(n−2)(|g	NUM
ejpam-66	198	61	′′|n−1	′′|n−1	CCONJ
ejpam-66	198	62	g	g	PROPN
ejpam-66	198	63	′′)′+	′′)′+	PROPN
ejpam-66	198	64	aηξ−r	aηξ−r	VERB
ejpam-66	198	65	g	g	PROPN
ejpam-66	198	66	′′+	′′+	X
ejpam-66	198	67	ag	ag	PROPN
ejpam-66	198	68	g	g	PROPN
ejpam-66	198	69	′′−	′′−	PROPN
ejpam-66	198	70	(	(	PUNCT
ejpam-66	198	71	2m+m)ξ−(r+s)−mg	2m+m)ξ−(r+s)−mg	NUM
ejpam-66	198	72	′2	′2	X
ejpam-66	198	73	=	=	SYM
ejpam-66	198	74	0	0	NUM
ejpam-66	198	75	,	,	PUNCT
ejpam-66	198	76	g(0	g(0	NOUN
ejpam-66	198	77	)	)	PUNCT
ejpam-66	198	78	=	=	SYM
ejpam-66	198	79	αξ−r	αξ−r	NOUN
ejpam-66	198	80	,	,	PUNCT
ejpam-66	198	81	g	g	PROPN
ejpam-66	198	82	′(0	′(0	PROPN
ejpam-66	198	83	)	)	PUNCT
ejpam-66	198	84	=	=	SYM
ejpam-66	198	85	ξ1−(r+s	ξ1−(r+s	PROPN
ejpam-66	198	86	)	)	PUNCT
ejpam-66	198	87	,	,	PUNCT
ejpam-66	198	88	g	g	PROPN
ejpam-66	198	89	′(∞	′(∞	NUM
ejpam-66	198	90	)	)	PUNCT
ejpam-66	198	91	=	=	SYM
ejpam-66	199	1	0	0	X
ejpam-66	199	2	.	.	PUNCT
ejpam-66	200	1	(	(	PUNCT
ejpam-66	200	2	3.8	3.8	NUM
ejpam-66	200	3	)	)	PUNCT
ejpam-66	200	4	setting	set	VERB
ejpam-66	200	5	r	r	NOUN
ejpam-66	200	6	=	=	PUNCT
ejpam-66	200	7	2n−1	2n−1	NUM
ejpam-66	200	8	n+1	n+1	PUNCT
ejpam-66	200	9	and	and	CCONJ
ejpam-66	200	10	s	s	VERB
ejpam-66	200	11	=	=	SYM
ejpam-66	200	12	2−n	2−n	NUM
ejpam-66	200	13	n+1	n+1	ADV
ejpam-66	200	14	,	,	PUNCT
ejpam-66	200	15	ensures	ensure	VERB
ejpam-66	200	16	that	that	SCONJ
ejpam-66	200	17	the	the	DET
ejpam-66	200	18	highest	high	ADJ
ejpam-66	200	19	derivative	derivative	NOUN
ejpam-66	200	20	remains	remain	VERB
ejpam-66	200	21	present	present	ADJ
ejpam-66	200	22	in	in	ADP
ejpam-66	200	23	the	the	DET
ejpam-66	200	24	resulting	result	VERB
ejpam-66	200	25	problem	problem	NOUN
ejpam-66	200	26	.	.	PUNCT
ejpam-66	201	1	as	as	SCONJ
ejpam-66	201	2	ξ	ξ	PROPN
ejpam-66	201	3	goes	go	VERB
ejpam-66	201	4	to	to	ADP
ejpam-66	201	5	infinity	infinity	NOUN
ejpam-66	201	6	,	,	PUNCT
ejpam-66	201	7	we	we	PRON
ejpam-66	201	8	deduce	deduce	VERB
ejpam-66	201	9			VERB
ejpam-66	201	10			PROPN
ejpam-66	201	11			NOUN
ejpam-66	201	12	(	(	PUNCT
ejpam-66	201	13	|g	|g	NOUN
ejpam-66	201	14	′′|n−1	′′|n−1	CCONJ
ejpam-66	201	15	g	g	PROPN
ejpam-66	201	16	′′)′+	′′)′+	PROPN
ejpam-66	201	17	ag	ag	PROPN
ejpam-66	201	18	g	g	PROPN
ejpam-66	201	19	′′+mg	′′+mg	CCONJ
ejpam-66	201	20	′2	′2	X
ejpam-66	201	21	=	=	SYM
ejpam-66	201	22	0	0	NUM
ejpam-66	201	23	,	,	PUNCT
ejpam-66	201	24	g(0	g(0	NOUN
ejpam-66	201	25	)	)	PUNCT
ejpam-66	201	26	=	=	SYM
ejpam-66	201	27	0	0	NUM
ejpam-66	201	28	,	,	PUNCT
ejpam-66	201	29	g	g	PROPN
ejpam-66	201	30	′(0	′(0	PROPN
ejpam-66	201	31	)	)	PUNCT
ejpam-66	201	32	=	=	SYM
ejpam-66	202	1	1	1	NUM
ejpam-66	202	2	,	,	PUNCT
ejpam-66	202	3	g	g	PROPN
ejpam-66	202	4	′(∞	′(∞	NUM
ejpam-66	202	5	)	)	PUNCT
ejpam-66	202	6	=	=	SYM
ejpam-66	203	1	0	0	X
ejpam-66	203	2	.	.	PUNCT
ejpam-66	203	3	(	(	PUNCT
ejpam-66	203	4	3.9	3.9	NUM
ejpam-66	203	5	)	)	PUNCT
ejpam-66	203	6	problem	problem	NOUN
ejpam-66	203	7	(	(	PUNCT
ejpam-66	203	8	3.9	3.9	NUM
ejpam-66	203	9	)	)	PUNCT
ejpam-66	203	10	describes	describe	VERB
ejpam-66	203	11	the	the	DET
ejpam-66	203	12	steady	steady	ADJ
ejpam-66	203	13	free	free	ADJ
ejpam-66	203	14	convection	convection	NOUN
ejpam-66	203	15	flow	flow	NOUN
ejpam-66	203	16	of	of	ADP
ejpam-66	203	17	a	a	DET
ejpam-66	203	18	non	non	ADJ
ejpam-66	203	19	-	-	ADJ
ejpam-66	203	20	newtonian	newtonian	ADJ
ejpam-66	203	21	power	power	NOUN
ejpam-66	203	22	-	-	PUNCT
ejpam-66	203	23	law	law	NOUN
ejpam-66	203	24	fluid	fluid	NOUN
ejpam-66	203	25	over	over	ADP
ejpam-66	203	26	a	a	DET
ejpam-66	203	27	stretching	stretch	VERB
ejpam-66	203	28	flat	flat	ADJ
ejpam-66	203	29	plate	plate	NOUN
ejpam-66	203	30	embedded	embed	VERB
ejpam-66	203	31	in	in	ADP
ejpam-66	203	32	a	a	DET
ejpam-66	203	33	porous	porous	ADJ
ejpam-66	203	34	medium	medium	NOUN
ejpam-66	203	35	.	.	PUNCT
ejpam-66	204	1	in	in	ADP
ejpam-66	204	2	[	[	X
ejpam-66	204	3	15	15	NUM
ejpam-66	204	4	]	]	PUNCT
ejpam-66	204	5	,	,	PUNCT
ejpam-66	204	6	it	it	PRON
ejpam-66	204	7	was	be	AUX
ejpam-66	204	8	shown	show	VERB
ejpam-66	204	9	that	that	SCONJ
ejpam-66	204	10	for	for	ADP
ejpam-66	204	11	m	m	PROPN
ejpam-66	204	12	∈	∈	NOUN
ejpam-66	204	13	(	(	PUNCT
ejpam-66	204	14	−	−	PROPN
ejpam-66	204	15	1	1	NUM
ejpam-66	204	16	3n	3n	NUM
ejpam-66	204	17	,	,	PUNCT
ejpam-66	204	18	0	0	NUM
ejpam-66	204	19	)	)	PUNCT
ejpam-66	204	20	any	any	DET
ejpam-66	204	21	local	local	ADJ
ejpam-66	204	22	solution	solution	NOUN
ejpam-66	204	23	g	g	NOUN
ejpam-66	204	24	,	,	PUNCT
ejpam-66	204	25	whith	whith	ADP
ejpam-66	204	26	positive	positive	ADJ
ejpam-66	204	27	values	value	NOUN
ejpam-66	204	28	of	of	ADP
ejpam-66	204	29	τ	τ	PROPN
ejpam-66	204	30	(	(	PUNCT
ejpam-66	204	31	τ	τ	PROPN
ejpam-66	204	32	=	=	SYM
ejpam-66	204	33	g	g	PROPN
ejpam-66	204	34	′′(0	′′(0	NOUN
ejpam-66	204	35	)	)	PUNCT
ejpam-66	204	36	)	)	PUNCT
ejpam-66	204	37	,	,	PUNCT
ejpam-66	204	38	is	be	AUX
ejpam-66	204	39	global	global	ADJ
ejpam-66	204	40	and	and	CCONJ
ejpam-66	204	41	satisfies	satisfy	VERB
ejpam-66	204	42	the	the	DET
ejpam-66	204	43	following	follow	VERB
ejpam-66	204	44	asymptotic	asymptotic	ADJ
ejpam-66	204	45	behaviour	behaviour	NOUN
ejpam-66	204	46	g(t)∼	g(t)∼	PROPN
ejpam-66	204	47	t	t	PROPN
ejpam-66	204	48	1+m(2n−1	1+m(2n−1	NUM
ejpam-66	204	49	)	)	PUNCT
ejpam-66	204	50	1+m(n−2	1+m(n−2	NUM
ejpam-66	204	51	)	)	PUNCT
ejpam-66	204	52	,	,	PUNCT
ejpam-66	204	53	as	as	ADP
ejpam-66	204	54	t	t	PROPN
ejpam-66	204	55	→∞.	→∞.	X
ejpam-66	204	56	consequently	consequently	ADV
ejpam-66	204	57	,	,	PUNCT
ejpam-66	204	58	a	a	DET
ejpam-66	204	59	solution	solution	NOUN
ejpam-66	204	60	f	f	X
ejpam-66	204	61	for	for	ADP
ejpam-66	204	62	positive	positive	ADJ
ejpam-66	204	63	γ	γ	NOUN
ejpam-66	204	64	and	and	CCONJ
ejpam-66	204	65	large	large	ADJ
ejpam-66	204	66	δ	δ	NOUN
ejpam-66	204	67	(	(	PUNCT
ejpam-66	204	68	if	if	SCONJ
ejpam-66	204	69	it	it	PRON
ejpam-66	204	70	exists	exist	VERB
ejpam-66	204	71	)	)	PUNCT
ejpam-66	204	72	,	,	PUNCT
ejpam-66	204	73	may	may	AUX
ejpam-66	204	74	have	have	VERB
ejpam-66	204	75	the	the	DET
ejpam-66	204	76	following	follow	VERB
ejpam-66	204	77	large	large	ADJ
ejpam-66	204	78	η	η	NOUN
ejpam-66	204	79	-	-	NOUN
ejpam-66	204	80	behaviour	behaviour	ADJ
ejpam-66	204	81	f	f	NOUN
ejpam-66	204	82	(	(	PUNCT
ejpam-66	204	83	η)∼	η)∼	PROPN
ejpam-66	204	84	η	η	PROPN
ejpam-66	204	85	�	�	PROPN
ejpam-66	204	86	1	1	NUM
ejpam-66	204	87	+	+	CCONJ
ejpam-66	204	88	(	(	PUNCT
ejpam-66	204	89	δ−	δ−	ADJ
ejpam-66	204	90	1	1	NUM
ejpam-66	204	91	)	)	SYM
ejpam-66	204	92	1	1	NUM
ejpam-66	204	93	1+m(n−2)η	1+m(n−2)η	NUM
ejpam-66	204	94	m(n−1)+2	m(n−1)+2	PROPN
ejpam-66	204	95	1+m(n−2	1+m(n−2	PROPN
ejpam-66	204	96	)	)	PUNCT
ejpam-66	204	97	�	�	PROPN
ejpam-66	204	98	.	.	PUNCT
ejpam-66	205	1	references	reference	NOUN
ejpam-66	205	2	19	19	NUM
ejpam-66	205	3	4	4	NUM
ejpam-66	205	4	.	.	PUNCT
ejpam-66	205	5	concluding	conclude	VERB
ejpam-66	205	6	remarks	remark	NOUN
ejpam-66	205	7	based	base	VERB
ejpam-66	205	8	on	on	ADP
ejpam-66	205	9	the	the	DET
ejpam-66	205	10	similarity	similarity	NOUN
ejpam-66	205	11	transformation	transformation	NOUN
ejpam-66	205	12	approach	approach	NOUN
ejpam-66	205	13	,	,	PUNCT
ejpam-66	205	14	the	the	DET
ejpam-66	205	15	boundary	boundary	ADJ
ejpam-66	205	16	layer	layer	NOUN
ejpam-66	205	17	equations	equation	NOUN
ejpam-66	205	18	for	for	ADP
ejpam-66	205	19	flows	flow	NOUN
ejpam-66	205	20	of	of	ADP
ejpam-66	205	21	purely	purely	ADV
ejpam-66	205	22	viscous	viscous	ADJ
ejpam-66	205	23	non	non	ADJ
ejpam-66	205	24	-	-	ADJ
ejpam-66	205	25	newtonian	newtonian	ADJ
ejpam-66	205	26	dilatant	dilatant	NOUN
ejpam-66	205	27	and	and	CCONJ
ejpam-66	205	28	electrically	electrically	ADV
ejpam-66	205	29	conducting	conduct	VERB
ejpam-66	205	30	fluids	fluid	NOUN
ejpam-66	205	31	are	be	AUX
ejpam-66	205	32	investigated	investigate	VERB
ejpam-66	205	33	.	.	PUNCT
ejpam-66	206	1	using	use	VERB
ejpam-66	206	2	a	a	DET
ejpam-66	206	3	shooting	shooting	NOUN
ejpam-66	206	4	argument	argument	NOUN
ejpam-66	206	5	,	,	PUNCT
ejpam-66	206	6	it	it	PRON
ejpam-66	206	7	is	be	AUX
ejpam-66	206	8	shown	show	VERB
ejpam-66	206	9	that	that	SCONJ
ejpam-66	206	10	the	the	DET
ejpam-66	206	11	relevant	relevant	ADJ
ejpam-66	206	12	problem	problem	NOUN
ejpam-66	206	13	admits	admit	VERB
ejpam-66	206	14	an	an	DET
ejpam-66	206	15	infinite	infinite	ADJ
ejpam-66	206	16	number	number	NOUN
ejpam-66	206	17	of	of	ADP
ejpam-66	206	18	solutions	solution	NOUN
ejpam-66	206	19	(	(	PUNCT
ejpam-66	206	20	[	[	X
ejpam-66	206	21	24	24	NUM
ejpam-66	206	22	]	]	X
ejpam-66	207	1	[	[	X
ejpam-66	207	2	25	25	NUM
ejpam-66	207	3	]	]	X
ejpam-66	207	4	[	[	X
ejpam-66	207	5	26	26	NUM
ejpam-66	207	6	]	]	PUNCT
ejpam-66	207	7	and	and	CCONJ
ejpam-66	207	8	[	[	X
ejpam-66	207	9	27	27	NUM
ejpam-66	207	10	]	]	NUM
ejpam-66	207	11	)	)	PUNCT
ejpam-66	207	12	,	,	PUNCT
ejpam-66	207	13	this	this	PRON
ejpam-66	207	14	is	be	AUX
ejpam-66	207	15	due	due	ADJ
ejpam-66	207	16	to	to	ADP
ejpam-66	207	17	the	the	DET
ejpam-66	207	18	arbitrariness	arbitrariness	NOUN
ejpam-66	207	19	of	of	ADP
ejpam-66	207	20	the	the	DET
ejpam-66	207	21	shooting	shooting	NOUN
ejpam-66	207	22	parameter	parameter	NOUN
ejpam-66	207	23	γ	γ	PROPN
ejpam-66	207	24	.	.	PROPN
ejpam-66	207	25	from	from	ADP
ejpam-66	207	26	a	a	DET
ejpam-66	207	27	physical	physical	ADJ
ejpam-66	207	28	point	point	NOUN
ejpam-66	207	29	of	of	ADP
ejpam-66	207	30	view	view	NOUN
ejpam-66	207	31	,	,	PUNCT
ejpam-66	207	32	we	we	PRON
ejpam-66	207	33	underline	underline	VERB
ejpam-66	207	34	that	that	SCONJ
ejpam-66	207	35	γ	γ	X
ejpam-66	207	36	=	=	SYM
ejpam-66	207	37	f	f	PROPN
ejpam-66	207	38	′′(0	′′(0	X
ejpam-66	207	39	)	)	PUNCT
ejpam-66	207	40	originates	originate	NOUN
ejpam-66	207	41	from	from	ADP
ejpam-66	207	42	the	the	DET
ejpam-66	207	43	local	local	ADJ
ejpam-66	207	44	skin	skin	NOUN
ejpam-66	207	45	friction	friction	NOUN
ejpam-66	207	46	coefficient	coefficient	NOUN
ejpam-66	207	47	c	c	PROPN
ejpam-66	207	48	fx	fx	PROPN
ejpam-66	207	49	,	,	PUNCT
ejpam-66	207	50	and	and	CCONJ
ejpam-66	207	51	the	the	DET
ejpam-66	207	52	local	local	ADJ
ejpam-66	207	53	reynolds	reynolds	PROPN
ejpam-66	207	54	number	number	NOUN
ejpam-66	207	55	rex	rex	PROPN
ejpam-66	207	56	=	=	PRON
ejpam-66	207	57	(	(	PUNCT
ejpam-66	207	58	uw	uw	PROPN
ejpam-66	207	59	xm)2−n	xm)2−n	PROPN
ejpam-66	207	60	xn	xn	PROPN
ejpam-66	207	61	νk	νk	NOUN
ejpam-66	207	62	via	via	ADP
ejpam-66	207	63	the	the	DET
ejpam-66	207	64	the	the	DET
ejpam-66	207	65	formula	formula	NOUN
ejpam-66	207	66	c	c	PROPN
ejpam-66	207	67	fx	fx	PROPN
ejpam-66	207	68	rex	rex	PROPN
ejpam-66	207	69	1	1	NUM
ejpam-66	207	70	n+1	n+1	PROPN
ejpam-66	207	71	=	=	SYM
ejpam-66	207	72	2	2	NUM
ejpam-66	207	73	�	�	PROPN
ejpam-66	207	74	a	a	PRON
ejpam-66	207	75	n	n	PRON
ejpam-66	207	76	�	�	PROPN
ejpam-66	207	77	1	1	NUM
ejpam-66	207	78	n+1	n+1	PROPN
ejpam-66	207	79	|γ|n−1γ	|γ|n−1γ	NOUN
ejpam-66	207	80	.	.	PUNCT
ejpam-66	208	1	in	in	ADP
ejpam-66	208	2	conclusion	conclusion	NOUN
ejpam-66	208	3	,	,	PUNCT
ejpam-66	208	4	we	we	PRON
ejpam-66	208	5	may	may	AUX
ejpam-66	208	6	expect	expect	VERB
ejpam-66	208	7	that	that	SCONJ
ejpam-66	208	8	the	the	DET
ejpam-66	208	9	solutions	solution	NOUN
ejpam-66	208	10	determined	determine	VERB
ejpam-66	208	11	above	above	ADV
ejpam-66	208	12	are	be	AUX
ejpam-66	208	13	physically	physically	ADV
ejpam-66	208	14	acceptable	acceptable	ADJ
ejpam-66	208	15	.	.	PUNCT
ejpam-66	209	1	however	however	ADV
ejpam-66	209	2	,	,	PUNCT
ejpam-66	209	3	only	only	ADJ
ejpam-66	209	4	experiments	experiment	NOUN
ejpam-66	209	5	are	be	AUX
ejpam-66	209	6	able	able	ADJ
ejpam-66	209	7	to	to	PART
ejpam-66	209	8	prove	prove	VERB
ejpam-66	209	9	their	their	PRON
ejpam-66	209	10	physical	physical	ADJ
ejpam-66	209	11	existence	existence	NOUN
ejpam-66	209	12	.	.	PUNCT
ejpam-66	210	1	acknowledgements	acknowledgement	NOUN
ejpam-66	210	2	i	i	PRON
ejpam-66	210	3	would	would	AUX
ejpam-66	210	4	like	like	VERB
ejpam-66	210	5	to	to	PART
ejpam-66	210	6	thank	thank	VERB
ejpam-66	210	7	the	the	DET
ejpam-66	210	8	anonymous	anonymous	ADJ
ejpam-66	210	9	referee	referee	NOUN
ejpam-66	210	10	for	for	ADP
ejpam-66	210	11	his	his	PRON
ejpam-66	210	12	constructive	constructive	ADJ
ejpam-66	210	13	suggestions	suggestion	NOUN
ejpam-66	210	14	,	,	PUNCT
ejpam-66	210	15	which	which	PRON
ejpam-66	210	16	have	have	AUX
ejpam-66	210	17	improved	improve	VERB
ejpam-66	210	18	the	the	DET
ejpam-66	210	19	earlier	early	ADJ
ejpam-66	210	20	version	version	NOUN
ejpam-66	210	21	of	of	ADP
ejpam-66	210	22	this	this	DET
ejpam-66	210	23	work	work	NOUN
ejpam-66	210	24	.	.	PUNCT
ejpam-66	211	1	references	reference	NOUN
ejpam-66	211	2	[	[	X
ejpam-66	211	3	1	1	NUM
ejpam-66	211	4	]	]	PUNCT
ejpam-66	211	5	astarita	astarita	PROPN
ejpam-66	211	6	g.	g.	PROPN
ejpam-66	211	7	,	,	PUNCT
ejpam-66	211	8	and	and	CCONJ
ejpam-66	211	9	marrucci	marrucci	PROPN
ejpam-66	211	10	g.	g.	PROPN
ejpam-66	211	11	,	,	PUNCT
ejpam-66	211	12	principles	principle	NOUN
ejpam-66	211	13	of	of	ADP
ejpam-66	211	14	non	non	ADJ
ejpam-66	211	15	–	–	ADJ
ejpam-66	211	16	newtonian	newtonian	ADJ
ejpam-66	211	17	fluid	fluid	ADJ
ejpam-66	211	18	mechanics	mechanic	NOUN
ejpam-66	211	19	,	,	PUNCT
ejpam-66	211	20	mcgraw	mcgraw	NOUN
ejpam-66	211	21	-	-	PUNCT
ejpam-66	211	22	hill	hill	NOUN
ejpam-66	211	23	,	,	PUNCT
ejpam-66	211	24	1974	1974	NUM
ejpam-66	211	25	.	.	PUNCT
ejpam-66	212	1	[	[	X
ejpam-66	212	2	2	2	NUM
ejpam-66	212	3	]	]	PUNCT
ejpam-66	212	4	bohme	bohme	NOUN
ejpam-66	212	5	h.	h.	PROPN
ejpam-66	212	6	,	,	PUNCT
ejpam-66	212	7	non	non	ADJ
ejpam-66	212	8	–	–	ADJ
ejpam-66	212	9	newtonian	newtonian	ADJ
ejpam-66	212	10	fluid	fluid	ADJ
ejpam-66	212	11	mechanics	mechanic	NOUN
ejpam-66	212	12	,	,	PUNCT
ejpam-66	212	13	north	north	NOUN
ejpam-66	212	14	–	–	PUNCT
ejpam-66	212	15	holland	holland	PROPN
ejpam-66	212	16	series	series	PROPN
ejpam-66	212	17	in	in	ADP
ejpam-66	212	18	applied	applied	ADJ
ejpam-66	212	19	mathematics	mathematic	NOUN
ejpam-66	212	20	and	and	CCONJ
ejpam-66	212	21	mechanics	mechanic	NOUN
ejpam-66	212	22	,	,	PUNCT
ejpam-66	212	23	1987	1987	NUM
ejpam-66	212	24	.	.	PUNCT
ejpam-66	213	1	[	[	X
ejpam-66	213	2	3	3	X
ejpam-66	213	3	]	]	X
ejpam-66	213	4	acrivos	acrivos	PROPN
ejpam-66	213	5	a.	a.	NOUN
ejpam-66	213	6	,	,	PUNCT
ejpam-66	213	7	shah	shah	PROPN
ejpam-66	213	8	m.j	m.j	PROPN
ejpam-66	213	9	.	.	PROPN
ejpam-66	213	10	,	,	PUNCT
ejpam-66	213	11	petersen	petersen	PROPN
ejpam-66	213	12	e.e	e.e	PROPN
ejpam-66	213	13	,	,	PUNCT
ejpam-66	213	14	momentum	momentum	NOUN
ejpam-66	213	15	and	and	CCONJ
ejpam-66	213	16	heat	heat	NOUN
ejpam-66	213	17	transfer	transfer	NOUN
ejpam-66	213	18	in	in	ADP
ejpam-66	213	19	laminar	laminar	ADJ
ejpam-66	213	20	boundary	boundary	ADJ
ejpam-66	213	21	-	-	PUNCT
ejpam-66	213	22	layer	layer	NOUN
ejpam-66	213	23	flows	flow	VERB
ejpam-66	213	24	equations	equation	NOUN
ejpam-66	213	25	of	of	ADP
ejpam-66	213	26	non	non	ADJ
ejpam-66	213	27	-	-	ADJ
ejpam-66	213	28	newtonian	newtonian	ADJ
ejpam-66	213	29	fluids	fluid	NOUN
ejpam-66	213	30	past	past	ADP
ejpam-66	213	31	external	external	ADJ
ejpam-66	213	32	surfaces	surface	NOUN
ejpam-66	213	33	,	,	PUNCT
ejpam-66	213	34	a.i.ch.e	a.i.ch.e	PROPN
ejpam-66	213	35	j.	j.	PROPN
ejpam-66	213	36	,	,	PUNCT
ejpam-66	213	37	6	6	NUM
ejpam-66	213	38	312	312	NUM
ejpam-66	213	39	(	(	PUNCT
ejpam-66	213	40	1960	1960	NUM
ejpam-66	213	41	)	)	PUNCT
ejpam-66	213	42	.	.	PUNCT
ejpam-66	214	1	[	[	X
ejpam-66	214	2	4	4	X
ejpam-66	214	3	]	]	PUNCT
ejpam-66	214	4	ece	ece	PROPN
ejpam-66	214	5	m.c	m.c	PROPN
ejpam-66	214	6	.	.	PROPN
ejpam-66	214	7	,	,	PUNCT
ejpam-66	214	8	büyük	büyük	PROPN
ejpam-66	214	9	e.	e.	PROPN
ejpam-66	214	10	,	,	PUNCT
ejpam-66	214	11	similarity	similarity	NOUN
ejpam-66	214	12	solutions	solution	NOUN
ejpam-66	214	13	for	for	ADP
ejpam-66	214	14	free	free	ADJ
ejpam-66	214	15	convection	convection	NOUN
ejpam-66	214	16	to	to	ADP
ejpam-66	214	17	power	power	NOUN
ejpam-66	214	18	-	-	PUNCT
ejpam-66	214	19	law	law	NOUN
ejpam-66	214	20	fluids	fluid	NOUN
ejpam-66	214	21	from	from	ADP
ejpam-66	214	22	a	a	DET
ejpam-66	214	23	heated	heated	ADJ
ejpam-66	214	24	vertical	vertical	ADJ
ejpam-66	214	25	plate	plate	NOUN
ejpam-66	214	26	,	,	PUNCT
ejpam-66	214	27	app	app	PROPN
ejpam-66	214	28	.	.	PROPN
ejpam-66	214	29	math	math	PROPN
ejpam-66	214	30	.	.	PUNCT
ejpam-66	215	1	lett	lett	PROPN
ejpam-66	215	2	.	.	PROPN
ejpam-66	215	3	,	,	PUNCT
ejpam-66	215	4	15	15	NUM
ejpam-66	215	5	1	1	NUM
ejpam-66	215	6	-	-	SYM
ejpam-66	215	7	5	5	NUM
ejpam-66	215	8	(	(	PUNCT
ejpam-66	215	9	2002	2002	NUM
ejpam-66	215	10	)	)	PUNCT
ejpam-66	215	11	.	.	PUNCT
ejpam-66	216	1	[	[	X
ejpam-66	216	2	5	5	NUM
ejpam-66	216	3	]	]	PUNCT
ejpam-66	216	4	pavlov	pavlov	PROPN
ejpam-66	216	5	k.	k.	PROPN
ejpam-66	216	6	b.	b.	PROPN
ejpam-66	216	7	,	,	PUNCT
ejpam-66	216	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-66	216	9	flow	flow	NOUN
ejpam-66	216	10	of	of	ADP
ejpam-66	216	11	an	an	DET
ejpam-66	216	12	incompressible	incompressible	ADJ
ejpam-66	216	13	viscous	viscous	ADJ
ejpam-66	216	14	fluid	fluid	NOUN
ejpam-66	216	15	caused	cause	VERB
ejpam-66	216	16	by	by	ADP
ejpam-66	216	17	deformation	deformation	NOUN
ejpam-66	216	18	of	of	ADP
ejpam-66	216	19	a	a	DET
ejpam-66	216	20	surface	surface	NOUN
ejpam-66	216	21	,	,	PUNCT
ejpam-66	216	22	magnitnaya	magnitnaya	NOUN
ejpam-66	216	23	gidrodinamika	gidrodinamika	NOUN
ejpam-66	216	24	,	,	PUNCT
ejpam-66	216	25	4	4	NUM
ejpam-66	216	26	146	146	NUM
ejpam-66	216	27	-	-	SYM
ejpam-66	216	28	147	147	NUM
ejpam-66	216	29	(	(	PUNCT
ejpam-66	216	30	1974	1974	NUM
ejpam-66	216	31	)	)	PUNCT
ejpam-66	216	32	.	.	PUNCT
ejpam-66	217	1	[	[	X
ejpam-66	217	2	6	6	NUM
ejpam-66	217	3	]	]	PUNCT
ejpam-66	217	4	sarpkaya	sarpkaya	PROPN
ejpam-66	217	5	t.	t.	PROPN
ejpam-66	217	6	,	,	PUNCT
ejpam-66	217	7	flow	flow	NOUN
ejpam-66	217	8	of	of	ADP
ejpam-66	217	9	non	non	ADJ
ejpam-66	217	10	-	-	ADJ
ejpam-66	217	11	newtonian	newtonian	ADJ
ejpam-66	217	12	fluids	fluid	NOUN
ejpam-66	217	13	in	in	ADP
ejpam-66	217	14	a	a	DET
ejpam-66	217	15	magnetic	magnetic	ADJ
ejpam-66	217	16	field	field	NOUN
ejpam-66	217	17	,	,	PUNCT
ejpam-66	217	18	aiche	aiche	PROPN
ejpam-66	217	19	j.	j.	PROPN
ejpam-66	217	20	7	7	NUM
ejpam-66	217	21	324	324	NUM
ejpam-66	217	22	-	-	SYM
ejpam-66	217	23	328	328	NUM
ejpam-66	217	24	(	(	PUNCT
ejpam-66	217	25	1961	1961	NUM
ejpam-66	217	26	)	)	PUNCT
ejpam-66	217	27	.	.	PUNCT
ejpam-66	218	1	[	[	X
ejpam-66	218	2	7	7	NUM
ejpam-66	218	3	]	]	SYM
ejpam-66	218	4	sapunkov	sapunkov	NOUN
ejpam-66	218	5	s.y	s.y	PROPN
ejpam-66	218	6	.	.	PROPN
ejpam-66	218	7	,	,	PUNCT
ejpam-66	218	8	self	self	NOUN
ejpam-66	218	9	-	-	PUNCT
ejpam-66	218	10	similar	similar	ADJ
ejpam-66	218	11	solutions	solution	NOUN
ejpam-66	218	12	of	of	ADP
ejpam-66	218	13	non	non	ADJ
ejpam-66	218	14	-	-	ADJ
ejpam-66	218	15	newtonian	newtonian	ADJ
ejpam-66	218	16	fluid	fluid	ADJ
ejpam-66	218	17	boundary	boundary	NOUN
ejpam-66	218	18	in	in	ADP
ejpam-66	218	19	mhd	mhd	NOUN
ejpam-66	218	20	,	,	PUNCT
ejpam-66	218	21	mekhanika	mekhanika	NOUN
ejpam-66	218	22	zhidkosti	zhidkosti	NOUN
ejpam-66	218	23	i	i	PRON
ejpam-66	218	24	gaza	gaza	PROPN
ejpam-66	218	25	2	2	NUM
ejpam-66	218	26	77	77	NUM
ejpam-66	218	27	-	-	SYM
ejpam-66	218	28	82	82	NUM
ejpam-66	218	29	(	(	PUNCT
ejpam-66	218	30	1967	1967	NUM
ejpam-66	218	31	)	)	PUNCT
ejpam-66	218	32	.	.	PUNCT
ejpam-66	219	1	[	[	X
ejpam-66	219	2	8	8	NUM
ejpam-66	219	3	]	]	X
ejpam-66	219	4	djuvic	djuvic	PROPN
ejpam-66	219	5	d.	d.	PROPN
ejpam-66	219	6	s.	s.	PROPN
ejpam-66	219	7	,	,	PUNCT
ejpam-66	219	8	hiemenz	hiemenz	PROPN
ejpam-66	219	9	magnetic	magnetic	ADJ
ejpam-66	219	10	flow	flow	NOUN
ejpam-66	219	11	of	of	ADP
ejpam-66	219	12	power	power	NOUN
ejpam-66	219	13	-	-	PUNCT
ejpam-66	219	14	law	law	NOUN
ejpam-66	219	15	fluids	fluid	NOUN
ejpam-66	219	16	,	,	PUNCT
ejpam-66	219	17	asme	asme	PROPN
ejpam-66	219	18	j.	j.	PROPN
ejpam-66	219	19	appl	appl	PROPN
ejpam-66	219	20	.	.	PROPN
ejpam-66	219	21	mech	mech	PROPN
ejpam-66	219	22	.	.	PROPN
ejpam-66	219	23	,	,	PUNCT
ejpam-66	219	24	41	41	NUM
ejpam-66	219	25	822	822	NUM
ejpam-66	219	26	-	-	SYM
ejpam-66	219	27	823	823	NUM
ejpam-66	219	28	(	(	PUNCT
ejpam-66	219	29	1974	1974	NUM
ejpam-66	219	30	)	)	PUNCT
ejpam-66	219	31	.	.	PUNCT
ejpam-66	220	1	[	[	X
ejpam-66	220	2	9	9	NUM
ejpam-66	220	3	]	]	X
ejpam-66	220	4	liao	liao	PROPN
ejpam-66	220	5	s.	s.	PROPN
ejpam-66	220	6	j.	j.	PROPN
ejpam-66	220	7	,	,	PUNCT
ejpam-66	220	8	on	on	ADP
ejpam-66	220	9	the	the	DET
ejpam-66	220	10	analytic	analytic	ADJ
ejpam-66	220	11	solution	solution	NOUN
ejpam-66	220	12	of	of	ADP
ejpam-66	220	13	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-66	220	14	flows	flow	NOUN
ejpam-66	220	15	of	of	ADP
ejpam-66	220	16	non	non	ADJ
ejpam-66	220	17	-	-	ADJ
ejpam-66	220	18	newtonian	newtonian	ADJ
ejpam-66	220	19	fluids	fluid	NOUN
ejpam-66	220	20	over	over	ADP
ejpam-66	220	21	a	a	DET
ejpam-66	220	22	stretching	stretch	VERB
ejpam-66	220	23	sheet	sheet	NOUN
ejpam-66	220	24	,	,	PUNCT
ejpam-66	220	25	j.	j.	PROPN
ejpam-66	220	26	fluid	fluid	PROPN
ejpam-66	220	27	mech	mech	NOUN
ejpam-66	220	28	.	.	PUNCT
ejpam-66	220	29	,	,	PUNCT
ejpam-66	220	30	488	488	NUM
ejpam-66	220	31	189	189	NUM
ejpam-66	220	32	-	-	SYM
ejpam-66	220	33	212	212	NUM
ejpam-66	220	34	(	(	PUNCT
ejpam-66	220	35	2003	2003	NUM
ejpam-66	220	36	)	)	PUNCT
ejpam-66	220	37	.	.	PUNCT
ejpam-66	221	1	[	[	X
ejpam-66	221	2	10	10	NUM
ejpam-66	221	3	]	]	X
ejpam-66	221	4	chiam	chiam	PROPN
ejpam-66	221	5	t.	t.	PROPN
ejpam-66	221	6	c.	c.	PROPN
ejpam-66	221	7	,	,	PUNCT
ejpam-66	221	8	solutions	solution	NOUN
ejpam-66	221	9	for	for	ADP
ejpam-66	221	10	the	the	DET
ejpam-66	221	11	flow	flow	NOUN
ejpam-66	221	12	of	of	ADP
ejpam-66	221	13	a	a	DET
ejpam-66	221	14	conducting	conduct	VERB
ejpam-66	221	15	power	power	NOUN
ejpam-66	221	16	-	-	PUNCT
ejpam-66	221	17	law	law	NOUN
ejpam-66	221	18	fluid	fluid	NOUN
ejpam-66	221	19	in	in	ADP
ejpam-66	221	20	a	a	DET
ejpam-66	221	21	transverse	transverse	NOUN
ejpam-66	221	22	magnetic	magnetic	ADJ
ejpam-66	221	23	field	field	NOUN
ejpam-66	221	24	and	and	CCONJ
ejpam-66	221	25	with	with	ADP
ejpam-66	221	26	a	a	DET
ejpam-66	221	27	pressure	pressure	NOUN
ejpam-66	221	28	gradient	gradient	NOUN
ejpam-66	221	29	using	use	VERB
ejpam-66	221	30	crocco	crocco	NOUN
ejpam-66	221	31	variables	variable	NOUN
ejpam-66	221	32	,	,	PUNCT
ejpam-66	221	33	acta	acta	PROPN
ejpam-66	221	34	mech	mech	PROPN
ejpam-66	221	35	.	.	PUNCT
ejpam-66	221	36	,	,	PUNCT
ejpam-66	221	37	vol	vol	NOUN
ejpam-66	221	38	.	.	PROPN
ejpam-66	221	39	137	137	NUM
ejpam-66	221	40	225	225	NUM
ejpam-66	221	41	235	235	NUM
ejpam-66	221	42	(	(	PUNCT
ejpam-66	221	43	1999	1999	NUM
ejpam-66	221	44	)	)	PUNCT
ejpam-66	221	45	.	.	PUNCT
ejpam-66	222	1	[	[	X
ejpam-66	222	2	11	11	NUM
ejpam-66	222	3	]	]	PUNCT
ejpam-66	222	4	anderson	anderson	PROPN
ejpam-66	222	5	h.	h.	PROPN
ejpam-66	222	6	i.	i.	PROPN
ejpam-66	222	7	,	,	PUNCT
ejpam-66	222	8	bach	bach	PROPN
ejpam-66	222	9	k.h	k.h	PROPN
ejpam-66	222	10	.	.	PROPN
ejpam-66	222	11	,	,	PUNCT
ejpam-66	222	12	dandapat	dandapat	VERB
ejpam-66	222	13	b.s	b.s	PROPN
ejpam-66	222	14	.	.	PROPN
ejpam-66	222	15	,	,	PUNCT
ejpam-66	222	16	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-66	222	17	flow	flow	NOUN
ejpam-66	222	18	of	of	ADP
ejpam-66	222	19	a	a	DET
ejpam-66	222	20	power	power	NOUN
ejpam-66	222	21	-	-	PUNCT
ejpam-66	222	22	law	law	NOUN
ejpam-66	222	23	fluid	fluid	NOUN
ejpam-66	222	24	over	over	ADP
ejpam-66	222	25	a	a	DET
ejpam-66	222	26	stretching	stretch	VERB
ejpam-66	222	27	sheet	sheet	NOUN
ejpam-66	222	28	,	,	PUNCT
ejpam-66	222	29	int	int	NOUN
ejpam-66	222	30	.	.	PUNCT
ejpam-66	223	1	j.	j.	PROPN
ejpam-66	223	2	non	non	PROPN
ejpam-66	223	3	-	-	ADJ
ejpam-66	223	4	linear	linear	ADJ
ejpam-66	223	5	mech	mech	NOUN
ejpam-66	223	6	.	.	PUNCT
ejpam-66	223	7	,	,	PUNCT
ejpam-66	223	8	27	27	NUM
ejpam-66	223	9	929	929	NUM
ejpam-66	223	10	-	-	SYM
ejpam-66	223	11	939	939	NUM
ejpam-66	223	12	(	(	PUNCT
ejpam-66	223	13	1992	1992	NUM
ejpam-66	223	14	)	)	PUNCT
ejpam-66	223	15	.	.	PUNCT
ejpam-66	224	1	[	[	X
ejpam-66	224	2	12	12	NUM
ejpam-66	224	3	]	]	X
ejpam-66	224	4	zhang	zhang	PROPN
ejpam-66	224	5	z.	z.	PROPN
ejpam-66	224	6	,	,	PUNCT
ejpam-66	224	7	wang	wang	PROPN
ejpam-66	224	8	j.	j.	PROPN
ejpam-66	224	9	,	,	PUNCT
ejpam-66	224	10	shi	shi	PROPN
ejpam-66	224	11	w.	w.	PROPN
ejpam-66	224	12	,	,	PUNCT
ejpam-66	224	13	a	a	DET
ejpam-66	224	14	boundary	boundary	ADJ
ejpam-66	224	15	layer	layer	NOUN
ejpam-66	224	16	problem	problem	NOUN
ejpam-66	224	17	arising	arise	VERB
ejpam-66	224	18	in	in	ADP
ejpam-66	224	19	gravity	gravity	NOUN
ejpam-66	224	20	driven	drive	VERB
ejpam-66	224	21	laminar	laminar	ADJ
ejpam-66	224	22	film	film	NOUN
ejpam-66	224	23	of	of	ADP
ejpam-66	224	24	power	power	NOUN
ejpam-66	224	25	-	-	PUNCT
ejpam-66	224	26	law	law	NOUN
ejpam-66	224	27	fluids	fluid	NOUN
ejpam-66	224	28	along	along	ADP
ejpam-66	224	29	vertical	vertical	ADJ
ejpam-66	224	30	walls	wall	NOUN
ejpam-66	224	31	,	,	PUNCT
ejpam-66	224	32	zamp	zamp	NOUN
ejpam-66	224	33	.	.	PUNCT
ejpam-66	225	1	(	(	PUNCT
ejpam-66	225	2	j.	j.	PROPN
ejpam-66	225	3	appl	appl	PROPN
ejpam-66	225	4	.	.	PROPN
ejpam-66	225	5	math	math	PROPN
ejpam-66	225	6	.	.	PUNCT
ejpam-66	226	1	phy	phy	PROPN
ejpam-66	226	2	.	.	PUNCT
ejpam-66	226	3	)	)	PUNCT
ejpam-66	226	4	,	,	PUNCT
ejpam-66	226	5	55	55	NUM
ejpam-66	226	6	769	769	NUM
ejpam-66	226	7	-	-	SYM
ejpam-66	226	8	780	780	NUM
ejpam-66	226	9	(	(	PUNCT
ejpam-66	226	10	2004	2004	NUM
ejpam-66	226	11	)	)	PUNCT
ejpam-66	226	12	.	.	PUNCT
ejpam-66	227	1	references	reference	NOUN
ejpam-66	227	2	20	20	NUM
ejpam-66	228	1	[	[	SYM
ejpam-66	228	2	13	13	NUM
ejpam-66	228	3	]	]	X
ejpam-66	228	4	kumari	kumari	PROPN
ejpam-66	228	5	m.	m.	PROPN
ejpam-66	228	6	,	,	PUNCT
ejpam-66	228	7	nath	nath	PROPN
ejpam-66	228	8	g.	g.	PROPN
ejpam-66	228	9	,	,	PUNCT
ejpam-66	228	10	mhd	mhd	PROPN
ejpam-66	228	11	boundary	boundary	ADJ
ejpam-66	228	12	layer	layer	NOUN
ejpam-66	228	13	flow	flow	NOUN
ejpam-66	228	14	of	of	ADP
ejpam-66	228	15	a	a	DET
ejpam-66	228	16	non	non	ADJ
ejpam-66	228	17	-	-	ADJ
ejpam-66	228	18	newtonian	newtonian	ADJ
ejpam-66	228	19	fluid	fluid	NOUN
ejpam-66	228	20	over	over	ADP
ejpam-66	228	21	a	a	DET
ejpam-66	228	22	continuously	continuously	ADV
ejpam-66	228	23	moving	move	VERB
ejpam-66	228	24	surface	surface	NOUN
ejpam-66	228	25	with	with	ADP
ejpam-66	228	26	a	a	DET
ejpam-66	228	27	parallel	parallel	ADJ
ejpam-66	228	28	free	free	ADJ
ejpam-66	228	29	stream	stream	NOUN
ejpam-66	228	30	,	,	PUNCT
ejpam-66	228	31	acta	acta	PROPN
ejpam-66	228	32	.	.	PUNCT
ejpam-66	228	33	mech	mech	PROPN
ejpam-66	228	34	.	.	PROPN
ejpam-66	228	35	,	,	PUNCT
ejpam-66	228	36	146	146	NUM
ejpam-66	228	37	139	139	NUM
ejpam-66	228	38	-	-	SYM
ejpam-66	228	39	150	150	NUM
ejpam-66	228	40	(	(	PUNCT
ejpam-66	228	41	2001	2001	NUM
ejpam-66	228	42	)	)	PUNCT
ejpam-66	228	43	.	.	PUNCT
ejpam-66	229	1	[	[	X
ejpam-66	229	2	14	14	NUM
ejpam-66	229	3	]	]	X
ejpam-66	229	4	brighi	brighi	PROPN
ejpam-66	229	5	b.	b.	PROPN
ejpam-66	229	6	,	,	PUNCT
ejpam-66	229	7	on	on	ADP
ejpam-66	229	8	a	a	DET
ejpam-66	229	9	similarity	similarity	NOUN
ejpam-66	229	10	boundary	boundary	ADJ
ejpam-66	229	11	layer	layer	NOUN
ejpam-66	229	12	equation	equation	NOUN
ejpam-66	229	13	,	,	PUNCT
ejpam-66	229	14	zaa(zeitschrift	zaa(zeitschrift	PROPN
ejpam-66	229	15	für	für	NOUN
ejpam-66	229	16	analysis	analysis	NOUN
ejpam-66	229	17	und	und	VERB
ejpam-66	229	18	ihre	ihre	ADJ
ejpam-66	229	19	anwendungen	anwendungen	NOUN
ejpam-66	229	20	)	)	PUNCT
ejpam-66	229	21	,	,	PUNCT
ejpam-66	229	22	21	21	NUM
ejpam-66	229	23	931	931	NUM
ejpam-66	229	24	-	-	SYM
ejpam-66	229	25	948	948	NUM
ejpam-66	229	26	(	(	PUNCT
ejpam-66	229	27	2002	2002	NUM
ejpam-66	229	28	)	)	PUNCT
ejpam-66	229	29	.	.	PUNCT
ejpam-66	230	1	[	[	X
ejpam-66	230	2	15	15	NUM
ejpam-66	230	3	]	]	X
ejpam-66	230	4	hammouch	hammouch	ADJ
ejpam-66	230	5	z.	z.	PROPN
ejpam-66	230	6	,	,	PUNCT
ejpam-66	230	7	étude	étude	PROPN
ejpam-66	230	8	mathématique	mathématique	PROPN
ejpam-66	230	9	et	et	PROPN
ejpam-66	230	10	numérique	numérique	PROPN
ejpam-66	230	11	de	de	PROPN
ejpam-66	230	12	quelques	quelques	PROPN
ejpam-66	230	13	problèmes	problèmes	PROPN
ejpam-66	230	14	issus	issus	PROPN
ejpam-66	230	15	de	de	PROPN
ejpam-66	230	16	la	la	X
ejpam-66	230	17	dynamique	dynamique	PROPN
ejpam-66	230	18	des	des	PROPN
ejpam-66	230	19	fluides	fluides	PROPN
ejpam-66	230	20	,	,	PUNCT
ejpam-66	230	21	phd	phd	NOUN
ejpam-66	230	22	dissertation	dissertation	NOUN
ejpam-66	230	23	,	,	PUNCT
ejpam-66	230	24	université	université	PROPN
ejpam-66	230	25	de	de	PROPN
ejpam-66	230	26	picardie	picardie	PROPN
ejpam-66	230	27	jules	jules	PROPN
ejpam-66	230	28	verne	verne	PROPN
ejpam-66	230	29	,	,	PUNCT
ejpam-66	230	30	octobre	octobre	PROPN
ejpam-66	230	31	2006	2006	NUM
ejpam-66	230	32	.	.	PUNCT
ejpam-66	231	1	[	[	X
ejpam-66	231	2	16	16	NUM
ejpam-66	231	3	]	]	X
ejpam-66	231	4	guedda	guedda	PROPN
ejpam-66	231	5	m.	m.	NOUN
ejpam-66	231	6	,	,	PUNCT
ejpam-66	231	7	similarity	similarity	NOUN
ejpam-66	231	8	solutions	solution	NOUN
ejpam-66	231	9	of	of	ADP
ejpam-66	231	10	differential	differential	ADJ
ejpam-66	231	11	equations	equation	NOUN
ejpam-66	231	12	for	for	ADP
ejpam-66	231	13	boundary	boundary	ADJ
ejpam-66	231	14	layer	layer	NOUN
ejpam-66	231	15	approximations	approximation	NOUN
ejpam-66	231	16	in	in	ADP
ejpam-66	231	17	porous	porous	ADJ
ejpam-66	231	18	media	medium	NOUN
ejpam-66	231	19	,	,	PUNCT
ejpam-66	231	20	zamp	zamp	NOUN
ejpam-66	231	21	.	.	PUNCT
ejpam-66	232	1	(	(	PUNCT
ejpam-66	232	2	j.	j.	PROPN
ejpam-66	232	3	appl	appl	PROPN
ejpam-66	232	4	.	.	PROPN
ejpam-66	232	5	math	math	PROPN
ejpam-66	232	6	.	.	PUNCT
ejpam-66	233	1	phy	phy	PROPN
ejpam-66	233	2	.	.	PUNCT
ejpam-66	233	3	)	)	PUNCT
ejpam-66	233	4	,	,	PUNCT
ejpam-66	233	5	56	56	NUM
ejpam-66	233	6	749	749	NUM
ejpam-66	233	7	-	-	SYM
ejpam-66	233	8	762	762	NUM
ejpam-66	233	9	(	(	PUNCT
ejpam-66	233	10	2005	2005	NUM
ejpam-66	233	11	)	)	PUNCT
ejpam-66	233	12	.	.	PUNCT
ejpam-66	234	1	[	[	X
ejpam-66	234	2	17	17	NUM
ejpam-66	234	3	]	]	X
ejpam-66	234	4	hildyard	hildyard	PROPN
ejpam-66	234	5	l.	l.	PROPN
ejpam-66	234	6	,	,	PUNCT
ejpam-66	234	7	falkner	falkner	PROPN
ejpam-66	234	8	-	-	PUNCT
ejpam-66	234	9	skan	skan	VERB
ejpam-66	234	10	problems	problem	NOUN
ejpam-66	234	11	in	in	ADP
ejpam-66	234	12	magnetohydrodynamics	magnetohydrodynamic	NOUN
ejpam-66	234	13	,	,	PUNCT
ejpam-66	234	14	the	the	DET
ejpam-66	234	15	phys	phy	NOUN
ejpam-66	234	16	.	.	PUNCT
ejpam-66	234	17	of	of	ADP
ejpam-66	234	18	fluids	fluid	NOUN
ejpam-66	234	19	,	,	PUNCT
ejpam-66	234	20	vol.15	vol.15	NOUN
ejpam-66	234	21	782	782	NUM
ejpam-66	234	22	–	–	PUNCT
ejpam-66	234	23	793	793	NUM
ejpam-66	234	24	(	(	PUNCT
ejpam-66	234	25	1972	1972	NUM
ejpam-66	234	26	)	)	PUNCT
ejpam-66	234	27	.	.	PUNCT
ejpam-66	235	1	[	[	X
ejpam-66	235	2	18	18	NUM
ejpam-66	235	3	]	]	SYM
ejpam-66	235	4	aly	aly	PROPN
ejpam-66	235	5	e.	e.	PROPN
ejpam-66	235	6	h.	h.	PROPN
ejpam-66	235	7	,	,	PUNCT
ejpam-66	235	8	benlahsen	benlahsen	ADJ
ejpam-66	235	9	m.	m.	NOUN
ejpam-66	235	10	,	,	PUNCT
ejpam-66	235	11	guedda	guedda	PROPN
ejpam-66	235	12	m.	m.	NOUN
ejpam-66	235	13	,	,	PUNCT
ejpam-66	235	14	similarity	similarity	NOUN
ejpam-66	235	15	solutions	solution	NOUN
ejpam-66	235	16	of	of	ADP
ejpam-66	235	17	a	a	DET
ejpam-66	235	18	mhd	mhd	NOUN
ejpam-66	235	19	boundary	boundary	ADJ
ejpam-66	235	20	-	-	PUNCT
ejpam-66	235	21	layer	layer	NOUN
ejpam-66	235	22	flow	flow	NOUN
ejpam-66	235	23	past	past	ADP
ejpam-66	235	24	a	a	DET
ejpam-66	235	25	continuous	continuous	ADJ
ejpam-66	235	26	moving	moving	NOUN
ejpam-66	235	27	surface	surface	NOUN
ejpam-66	235	28	,	,	PUNCT
ejpam-66	235	29	int	int	NOUN
ejpam-66	235	30	.	.	PUNCT
ejpam-66	236	1	j.	j.	PROPN
ejpam-66	236	2	engng	engng	PROPN
ejpam-66	236	3	.	.	PUNCT
ejpam-66	237	1	sci	sci	PROPN
ejpam-66	237	2	.	.	PROPN
ejpam-66	237	3	45	45	NUM
ejpam-66	237	4	486	486	NUM
ejpam-66	237	5	-	-	SYM
ejpam-66	237	6	503	503	NUM
ejpam-66	237	7	(	(	PUNCT
ejpam-66	237	8	2007	2007	NUM
ejpam-66	237	9	)	)	PUNCT
ejpam-66	237	10	.	.	PUNCT
ejpam-66	238	1	[	[	X
ejpam-66	238	2	19	19	NUM
ejpam-66	238	3	]	]	X
ejpam-66	238	4	hoernel	hoernel	PROPN
ejpam-66	238	5	j	j	PROPN
ejpam-66	238	6	-	-	PROPN
ejpam-66	238	7	d.	d.	PROPN
ejpam-66	238	8	,	,	PUNCT
ejpam-66	238	9	on	on	ADP
ejpam-66	238	10	the	the	DET
ejpam-66	238	11	similarity	similarity	NOUN
ejpam-66	238	12	solutions	solution	NOUN
ejpam-66	238	13	for	for	ADP
ejpam-66	238	14	a	a	DET
ejpam-66	238	15	steady	steady	ADJ
ejpam-66	238	16	mhd	mhd	NOUN
ejpam-66	238	17	equation	equation	NOUN
ejpam-66	238	18	,	,	PUNCT
ejpam-66	238	19	com	com	NOUN
ejpam-66	238	20	.	.	PUNCT
ejpam-66	238	21	nonlin	nonlin	PROPN
ejpam-66	238	22	.	.	PUNCT
ejpam-66	239	1	sci	sci	PROPN
ejpam-66	239	2	.	.	PUNCT
ejpam-66	240	1	num	num	PROPN
ejpam-66	240	2	.	.	PUNCT
ejpam-66	240	3	sim	sim	PROPN
ejpam-66	240	4	.	.	PROPN
ejpam-66	241	1	,	,	PUNCT
ejpam-66	241	2	13	13	NUM
ejpam-66	241	3	1353	1353	NUM
ejpam-66	241	4	-	-	SYM
ejpam-66	241	5	1360	1360	NUM
ejpam-66	241	6	(	(	PUNCT
ejpam-66	241	7	2008	2008	NUM
ejpam-66	241	8	)	)	PUNCT
ejpam-66	242	1	[	[	X
ejpam-66	242	2	20	20	NUM
ejpam-66	242	3	]	]	PUNCT
ejpam-66	242	4	nachman	nachman	PROPN
ejpam-66	242	5	a.	a.	NOUN
ejpam-66	242	6	,	,	PUNCT
ejpam-66	242	7	taliaferro	taliaferro	PROPN
ejpam-66	242	8	s.	s.	PROPN
ejpam-66	242	9	,	,	PUNCT
ejpam-66	242	10	mass	mass	ADJ
ejpam-66	242	11	transfer	transfer	NOUN
ejpam-66	242	12	into	into	ADP
ejpam-66	242	13	boundary	boundary	ADJ
ejpam-66	242	14	-	-	PUNCT
ejpam-66	242	15	layers	layer	NOUN
ejpam-66	242	16	for	for	ADP
ejpam-66	242	17	power	power	NOUN
ejpam-66	242	18	-	-	PUNCT
ejpam-66	242	19	law	law	NOUN
ejpam-66	242	20	fluids	fluid	NOUN
ejpam-66	242	21	,	,	PUNCT
ejpam-66	242	22	proc	proc	NOUN
ejpam-66	242	23	.	.	PUNCT
ejpam-66	243	1	r.	r.	PROPN
ejpam-66	243	2	soc	soc	PROPN
ejpam-66	243	3	.	.	PUNCT
ejpam-66	244	1	lon	lon	PROPN
ejpam-66	244	2	.	.	PUNCT
ejpam-66	245	1	a	a	PRON
ejpam-66	245	2	,	,	PUNCT
ejpam-66	245	3	365	365	NUM
ejpam-66	245	4	313	313	NUM
ejpam-66	245	5	-	-	SYM
ejpam-66	245	6	326	326	NUM
ejpam-66	245	7	(	(	PUNCT
ejpam-66	245	8	1979	1979	NUM
ejpam-66	245	9	)	)	PUNCT
ejpam-66	245	10	.	.	PUNCT
ejpam-66	246	1	[	[	X
ejpam-66	246	2	21	21	NUM
ejpam-66	246	3	]	]	X
ejpam-66	246	4	pop	pop	NOUN
ejpam-66	246	5	i.	i.	NOUN
ejpam-66	246	6	,	,	PUNCT
ejpam-66	246	7	mixed	mixed	ADJ
ejpam-66	246	8	convection	convection	NOUN
ejpam-66	246	9	to	to	ADP
ejpam-66	246	10	power	power	NOUN
ejpam-66	246	11	-	-	PUNCT
ejpam-66	246	12	law	law	NOUN
ejpam-66	246	13	type	type	NOUN
ejpam-66	246	14	non	non	ADJ
ejpam-66	246	15	-	-	ADJ
ejpam-66	246	16	newtonian	newtonian	ADJ
ejpam-66	246	17	fluids	fluid	NOUN
ejpam-66	246	18	from	from	ADP
ejpam-66	246	19	a	a	DET
ejpam-66	246	20	vetical	vetical	ADJ
ejpam-66	246	21	wall	wall	NOUN
ejpam-66	246	22	,	,	PUNCT
ejpam-66	246	23	pol	pol	PROPN
ejpam-66	246	24	.	.	PUNCT
ejpam-66	246	25	plast	plast	PROPN
ejpam-66	246	26	.	.	PUNCT
ejpam-66	247	1	tech	tech	PROPN
ejpam-66	247	2	and	and	CCONJ
ejpam-66	247	3	eng	eng	PROPN
ejpam-66	247	4	.	.	PROPN
ejpam-66	247	5	,	,	PUNCT
ejpam-66	247	6	30	30	NUM
ejpam-66	247	7	47	47	NUM
ejpam-66	247	8	-	-	SYM
ejpam-66	247	9	65	65	NUM
ejpam-66	247	10	(	(	PUNCT
ejpam-66	247	11	1991	1991	NUM
ejpam-66	247	12	)	)	PUNCT
ejpam-66	247	13	.	.	PUNCT
ejpam-66	248	1	[	[	X
ejpam-66	248	2	22	22	NUM
ejpam-66	248	3	]	]	X
ejpam-66	248	4	denier	denier	PROPN
ejpam-66	248	5	j.p	j.p	PROPN
ejpam-66	248	6	.	.	PROPN
ejpam-66	248	7	,	,	PUNCT
ejpam-66	248	8	dabrowski	dabrowski	PROPN
ejpam-66	248	9	p.p	p.p	PROPN
ejpam-66	248	10	.	.	PROPN
ejpam-66	248	11	,	,	PUNCT
ejpam-66	248	12	on	on	ADP
ejpam-66	248	13	the	the	DET
ejpam-66	248	14	boundary	boundary	ADJ
ejpam-66	248	15	-	-	PUNCT
ejpam-66	248	16	layer	layer	NOUN
ejpam-66	248	17	equations	equation	NOUN
ejpam-66	248	18	for	for	ADP
ejpam-66	248	19	power	power	NOUN
ejpam-66	248	20	-	-	PUNCT
ejpam-66	248	21	law	law	NOUN
ejpam-66	248	22	fluids	fluid	NOUN
ejpam-66	248	23	,	,	PUNCT
ejpam-66	248	24	proc	proc	NOUN
ejpam-66	248	25	.	.	PUNCT
ejpam-66	249	1	r.	r.	PROPN
ejpam-66	249	2	soc	soc	PROPN
ejpam-66	249	3	.	.	PUNCT
ejpam-66	250	1	lond	lond	PROPN
ejpam-66	250	2	.	.	PUNCT
ejpam-66	251	1	a	a	DET
ejpam-66	251	2	,	,	PUNCT
ejpam-66	251	3	460	460	NUM
ejpam-66	251	4	3143	3143	NUM
ejpam-66	251	5	-	-	SYM
ejpam-66	251	6	3158	3158	NUM
ejpam-66	251	7	(	(	PUNCT
ejpam-66	251	8	2004	2004	NUM
ejpam-66	251	9	)	)	PUNCT
ejpam-66	251	10	.	.	PUNCT
ejpam-66	252	1	[	[	X
ejpam-66	252	2	23	23	NUM
ejpam-66	252	3	]	]	X
ejpam-66	252	4	aly	aly	PROPN
ejpam-66	252	5	e.h	e.h	PROPN
ejpam-66	252	6	,	,	PUNCT
ejpam-66	252	7	elliott	elliott	PROPN
ejpam-66	252	8	l.	l.	PROPN
ejpam-66	252	9	,	,	PUNCT
ejpam-66	252	10	ingham	ingham	PROPN
ejpam-66	252	11	d.b	d.b	PROPN
ejpam-66	252	12	.	.	PROPN
ejpam-66	252	13	,	,	PUNCT
ejpam-66	252	14	mixed	mixed	ADJ
ejpam-66	252	15	convection	convection	NOUN
ejpam-66	252	16	boundary	boundary	ADJ
ejpam-66	252	17	-	-	PUNCT
ejpam-66	252	18	layer	layer	NOUN
ejpam-66	252	19	flow	flow	NOUN
ejpam-66	252	20	over	over	ADP
ejpam-66	252	21	a	a	DET
ejpam-66	252	22	vertical	vertical	ADJ
ejpam-66	252	23	surface	surface	NOUN
ejpam-66	252	24	embedded	embed	VERB
ejpam-66	252	25	in	in	ADP
ejpam-66	252	26	a	a	DET
ejpam-66	252	27	porous	porous	ADJ
ejpam-66	252	28	medium	medium	ADJ
ejpam-66	252	29	,	,	PUNCT
ejpam-66	252	30	eur	eur	PROPN
ejpam-66	252	31	.	.	PUNCT
ejpam-66	253	1	j.	j.	PROPN
ejpam-66	253	2	mech	mech	PROPN
ejpam-66	253	3	.	.	PUNCT
ejpam-66	254	1	b	b	NOUN
ejpam-66	254	2	fluids	fluid	NOUN
ejpam-66	254	3	,	,	PUNCT
ejpam-66	254	4	22	22	NUM
ejpam-66	254	5	529	529	NUM
ejpam-66	254	6	-	-	SYM
ejpam-66	254	7	543	543	NUM
ejpam-66	254	8	(	(	PUNCT
ejpam-66	254	9	2003	2003	NUM
ejpam-66	254	10	)	)	PUNCT
ejpam-66	254	11	.	.	PUNCT
ejpam-66	255	1	[	[	X
ejpam-66	255	2	24	24	NUM
ejpam-66	255	3	]	]	X
ejpam-66	255	4	magyari	magyari	PROPN
ejpam-66	255	5	e.	e.	PROPN
ejpam-66	255	6	,	,	PUNCT
ejpam-66	255	7	aly	aly	PROPN
ejpam-66	255	8	e.h	e.h	PROPN
ejpam-66	255	9	.	.	PROPN
ejpam-66	255	10	,	,	PUNCT
ejpam-66	255	11	mechanical	mechanical	ADJ
ejpam-66	255	12	and	and	CCONJ
ejpam-66	255	13	thermal	thermal	ADJ
ejpam-66	255	14	characteristics	characteristic	NOUN
ejpam-66	255	15	of	of	ADP
ejpam-66	255	16	a	a	DET
ejpam-66	255	17	mixed	mixed	ADJ
ejpam-66	255	18	convection	convection	NOUN
ejpam-66	255	19	boundarylayer	boundarylayer	NOUN
ejpam-66	255	20	flow	flow	NOUN
ejpam-66	255	21	in	in	ADP
ejpam-66	255	22	a	a	DET
ejpam-66	255	23	saturated	saturate	VERB
ejpam-66	255	24	porous	porous	ADJ
ejpam-66	255	25	medium	medium	ADJ
ejpam-66	255	26	int	int	NOUN
ejpam-66	255	27	.	.	PUNCT
ejpam-66	256	1	j.	j.	PROPN
ejpam-66	256	2	heat	heat	PROPN
ejpam-66	256	3	mass	mass	PROPN
ejpam-66	256	4	trans	trans	PROPN
ejpam-66	256	5	.	.	PROPN
ejpam-66	256	6	,	,	PUNCT
ejpam-66	256	7	49	49	NUM
ejpam-66	256	8	3855	3855	NUM
ejpam-66	256	9	-	-	SYM
ejpam-66	256	10	3865	3865	NUM
ejpam-66	256	11	(	(	PUNCT
ejpam-66	256	12	2006	2006	NUM
ejpam-66	256	13	)	)	PUNCT
ejpam-66	256	14	.	.	PUNCT
ejpam-66	257	1	[	[	X
ejpam-66	257	2	25	25	NUM
ejpam-66	257	3	]	]	X
ejpam-66	257	4	liao	liao	PROPN
ejpam-66	257	5	s.j	s.j	PROPN
ejpam-66	257	6	.	.	PROPN
ejpam-66	257	7	,	,	PUNCT
ejpam-66	257	8	a	a	DET
ejpam-66	257	9	new	new	ADJ
ejpam-66	257	10	branch	branch	NOUN
ejpam-66	257	11	of	of	ADP
ejpam-66	257	12	solutions	solution	NOUN
ejpam-66	257	13	of	of	ADP
ejpam-66	257	14	boundary	boundary	ADJ
ejpam-66	257	15	layer	layer	NOUN
ejpam-66	257	16	flows	flow	VERB
ejpam-66	257	17	over	over	ADP
ejpam-66	257	18	a	a	DET
ejpam-66	257	19	permeable	permeable	ADJ
ejpam-66	257	20	stretching	stretch	VERB
ejpam-66	257	21	plate	plate	NOUN
ejpam-66	257	22	int	int	NOUN
ejpam-66	257	23	.	.	PUNCT
ejpam-66	258	1	j.	j.	PROPN
ejpam-66	258	2	nonlinear	nonlinear	PROPN
ejpam-66	258	3	.	.	PROPN
ejpam-66	258	4	mech	mech	PROPN
ejpam-66	258	5	.	.	PROPN
ejpam-66	258	6	,	,	PUNCT
ejpam-66	258	7	42	42	NUM
ejpam-66	258	8	819–830	819–830	NUM
ejpam-66	258	9	(	(	PUNCT
ejpam-66	258	10	2007	2007	NUM
ejpam-66	258	11	)	)	PUNCT
ejpam-66	258	12	.	.	PUNCT
ejpam-66	259	1	[	[	X
ejpam-66	259	2	26	26	NUM
ejpam-66	259	3	]	]	X
ejpam-66	259	4	riley	riley	PROPN
ejpam-66	259	5	n.	n.	PROPN
ejpam-66	259	6	,	,	PUNCT
ejpam-66	259	7	weidman	weidman	PROPN
ejpam-66	259	8	p.	p.	PROPN
ejpam-66	259	9	d.	d.	PROPN
ejpam-66	259	10	,	,	PUNCT
ejpam-66	259	11	multiple	multiple	ADJ
ejpam-66	259	12	solutions	solution	NOUN
ejpam-66	259	13	of	of	ADP
ejpam-66	259	14	the	the	DET
ejpam-66	259	15	falkner	falkner	PROPN
ejpam-66	259	16	-	-	PUNCT
ejpam-66	259	17	skan	skan	VERB
ejpam-66	259	18	equation	equation	NOUN
ejpam-66	259	19	for	for	ADP
ejpam-66	259	20	flow	flow	NOUN
ejpam-66	259	21	past	past	ADP
ejpam-66	259	22	a	a	DET
ejpam-66	259	23	stretching	stretch	VERB
ejpam-66	259	24	boundary	boundary	NOUN
ejpam-66	259	25	,	,	PUNCT
ejpam-66	259	26	siam	siam	PROPN
ejpam-66	259	27	j.	j.	PROPN
ejpam-66	259	28	appl	appl	PROPN
ejpam-66	259	29	.	.	PROPN
ejpam-66	259	30	math	math	PROPN
ejpam-66	259	31	.	.	PUNCT
ejpam-66	259	32	,	,	PUNCT
ejpam-66	259	33	49	49	NUM
ejpam-66	259	34	1350	1350	NUM
ejpam-66	259	35	-	-	SYM
ejpam-66	259	36	1358	1358	NUM
ejpam-66	259	37	(	(	PUNCT
ejpam-66	259	38	1989	1989	NUM
ejpam-66	259	39	)	)	PUNCT
ejpam-66	259	40	.	.	PUNCT
ejpam-66	260	1	[	[	X
ejpam-66	260	2	27	27	NUM
ejpam-66	260	3	]	]	X
ejpam-66	260	4	robinson	robinson	PROPN
ejpam-66	260	5	w.a	w.a	PROPN
ejpam-66	260	6	.	.	PROPN
ejpam-66	260	7	,	,	PUNCT
ejpam-66	260	8	the	the	DET
ejpam-66	260	9	existence	existence	NOUN
ejpam-66	260	10	of	of	ADP
ejpam-66	260	11	multiple	multiple	ADJ
ejpam-66	260	12	solutions	solution	NOUN
ejpam-66	260	13	for	for	ADP
ejpam-66	260	14	the	the	DET
ejpam-66	260	15	laminar	laminar	ADJ
ejpam-66	260	16	flow	flow	NOUN
ejpam-66	260	17	in	in	ADP
ejpam-66	260	18	a	a	DET
ejpam-66	260	19	uniformly	uniformly	ADV
ejpam-66	260	20	porous	porous	ADJ
ejpam-66	260	21	channel	channel	NOUN
ejpam-66	260	22	with	with	ADP
ejpam-66	260	23	suction	suction	NOUN
ejpam-66	260	24	at	at	ADP
ejpam-66	260	25	both	both	DET
ejpam-66	260	26	walls	wall	NOUN
ejpam-66	260	27	,	,	PUNCT
ejpam-66	260	28	j.	j.	PROPN
ejpam-66	260	29	engng	engng	PROPN
ejpam-66	260	30	.	.	PUNCT
ejpam-66	261	1	maths	math	NOUN
ejpam-66	261	2	.	.	PUNCT
ejpam-66	261	3	,	,	PUNCT
ejpam-66	261	4	10	10	NUM
ejpam-66	261	5	23	23	NUM
ejpam-66	261	6	-	-	SYM
ejpam-66	261	7	40	40	NUM
ejpam-66	261	8	(	(	PUNCT
ejpam-66	261	9	1976	1976	NUM
ejpam-66	261	10	)	)	PUNCT
ejpam-66	261	11	.	.	PUNCT