id	sid	tid	token	lemma	pos
ejpam-2759	1	1	european	european	PROPN
ejpam-2759	1	2	journal	journal	PROPN
ejpam-2759	1	3	of	of	ADP
ejpam-2759	1	4	pure	pure	ADJ
ejpam-2759	1	5	and	and	CCONJ
ejpam-2759	1	6	applied	apply	VERB
ejpam-2759	1	7	mathematics	mathematic	NOUN
ejpam-2759	1	8	vol	vol	NOUN
ejpam-2759	1	9	.	.	PROPN
ejpam-2759	2	1	10	10	NUM
ejpam-2759	2	2	,	,	PUNCT
ejpam-2759	2	3	no	no	INTJ
ejpam-2759	2	4	.	.	NOUN
ejpam-2759	2	5	2	2	NUM
ejpam-2759	2	6	,	,	PUNCT
ejpam-2759	2	7	2017	2017	NUM
ejpam-2759	2	8	,	,	PUNCT
ejpam-2759	2	9	272	272	NUM
ejpam-2759	2	10	-	-	SYM
ejpam-2759	2	11	294	294	NUM
ejpam-2759	2	12	issn	issn	PROPN
ejpam-2759	2	13	1307	1307	NUM
ejpam-2759	2	14	-	-	SYM
ejpam-2759	2	15	5543	5543	NUM
ejpam-2759	2	16	–	–	PUNCT
ejpam-2759	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2759	2	18	published	publish	VERB
ejpam-2759	2	19	by	by	ADP
ejpam-2759	2	20	new	new	PROPN
ejpam-2759	2	21	york	york	PROPN
ejpam-2759	2	22	business	business	PROPN
ejpam-2759	2	23	global	global	ADJ
ejpam-2759	2	24	global	global	ADJ
ejpam-2759	2	25	existence	existence	NOUN
ejpam-2759	2	26	of	of	ADP
ejpam-2759	2	27	solutions	solution	NOUN
ejpam-2759	2	28	for	for	ADP
ejpam-2759	2	29	a	a	DET
ejpam-2759	2	30	system	system	NOUN
ejpam-2759	2	31	modelling	model	VERB
ejpam-2759	2	32	electromigration	electromigration	NOUN
ejpam-2759	2	33	of	of	ADP
ejpam-2759	2	34	ions	ion	NOUN
ejpam-2759	2	35	through	through	ADP
ejpam-2759	2	36	biological	biological	ADJ
ejpam-2759	2	37	cell	cell	NOUN
ejpam-2759	2	38	membranes	membrane	NOUN
ejpam-2759	2	39	with	with	ADP
ejpam-2759	2	40	l1	l1	PROPN
ejpam-2759	2	41	data	data	PROPN
ejpam-2759	2	42	nour	nour	PROPN
ejpam-2759	2	43	eddine	eddine	PROPN
ejpam-2759	2	44	alaa1,∗	alaa1,∗	PROPN
ejpam-2759	2	45	,	,	PUNCT
ejpam-2759	2	46	fatima	fatima	PROPN
ejpam-2759	2	47	aqel2	aqel2	PROPN
ejpam-2759	2	48	1,2	1,2	NUM
ejpam-2759	2	49	department	department	NOUN
ejpam-2759	2	50	of	of	ADP
ejpam-2759	2	51	mathematics	mathematic	NOUN
ejpam-2759	2	52	,	,	PUNCT
ejpam-2759	2	53	laboratory	laboratory	NOUN
ejpam-2759	2	54	lamai	lamai	NOUN
ejpam-2759	2	55	,	,	PUNCT
ejpam-2759	2	56	faculty	faculty	NOUN
ejpam-2759	2	57	of	of	ADP
ejpam-2759	2	58	sciences	science	NOUN
ejpam-2759	2	59	and	and	CCONJ
ejpam-2759	2	60	technology	technology	NOUN
ejpam-2759	2	61	of	of	ADP
ejpam-2759	2	62	marrakech	marrakech	NOUN
ejpam-2759	2	63	,	,	PUNCT
ejpam-2759	2	64	university	university	NOUN
ejpam-2759	2	65	cadi	cadi	NOUN
ejpam-2759	2	66	ayyad	ayyad	NOUN
ejpam-2759	2	67	,	,	PUNCT
ejpam-2759	2	68	abdelkarim	abdelkarim	PROPN
ejpam-2759	2	69	elkhattabi	elkhattabi	PROPN
ejpam-2759	2	70	avenue	avenue	PROPN
ejpam-2759	2	71	,	,	PUNCT
ejpam-2759	2	72	marrakech	marrakech	NOUN
ejpam-2759	2	73	,	,	PUNCT
ejpam-2759	2	74	morocco	morocco	PROPN
ejpam-2759	2	75	.	.	PUNCT
ejpam-2759	3	1	abstract	abstract	PROPN
ejpam-2759	3	2	.	.	PUNCT
ejpam-2759	4	1	the	the	DET
ejpam-2759	4	2	aim	aim	NOUN
ejpam-2759	4	3	of	of	ADP
ejpam-2759	4	4	this	this	DET
ejpam-2759	4	5	work	work	NOUN
ejpam-2759	4	6	is	be	AUX
ejpam-2759	4	7	to	to	PART
ejpam-2759	4	8	show	show	VERB
ejpam-2759	4	9	the	the	DET
ejpam-2759	4	10	existence	existence	NOUN
ejpam-2759	4	11	of	of	ADP
ejpam-2759	4	12	weak	weak	ADJ
ejpam-2759	4	13	solutions	solution	NOUN
ejpam-2759	4	14	and	and	CCONJ
ejpam-2759	4	15	supersolutions	supersolution	NOUN
ejpam-2759	4	16	for	for	ADP
ejpam-2759	4	17	a	a	DET
ejpam-2759	4	18	nonlinear	nonlinear	ADJ
ejpam-2759	4	19	system	system	NOUN
ejpam-2759	4	20	modelling	model	VERB
ejpam-2759	4	21	ions	ion	NOUN
ejpam-2759	4	22	migration	migration	NOUN
ejpam-2759	4	23	through	through	ADP
ejpam-2759	4	24	biological	biological	ADJ
ejpam-2759	4	25	cells	cell	NOUN
ejpam-2759	4	26	membranes	membrane	NOUN
ejpam-2759	4	27	with	with	ADP
ejpam-2759	4	28	l1data	l1data	ADJ
ejpam-2759	4	29	.	.	PUNCT
ejpam-2759	5	1	in	in	ADP
ejpam-2759	5	2	the	the	DET
ejpam-2759	5	3	first	first	ADJ
ejpam-2759	5	4	step	step	NOUN
ejpam-2759	5	5	,	,	PUNCT
ejpam-2759	5	6	we	we	PRON
ejpam-2759	5	7	describe	describe	VERB
ejpam-2759	5	8	the	the	DET
ejpam-2759	5	9	mathematical	mathematical	ADJ
ejpam-2759	5	10	model	model	NOUN
ejpam-2759	5	11	after	after	SCONJ
ejpam-2759	5	12	that	that	SCONJ
ejpam-2759	5	13	we	we	PRON
ejpam-2759	5	14	define	define	VERB
ejpam-2759	5	15	an	an	DET
ejpam-2759	5	16	approximating	approximate	VERB
ejpam-2759	5	17	scheme	scheme	NOUN
ejpam-2759	5	18	.	.	PUNCT
ejpam-2759	6	1	under	under	ADP
ejpam-2759	6	2	simplifying	simplify	VERB
ejpam-2759	6	3	assumptions	assumption	NOUN
ejpam-2759	6	4	on	on	ADP
ejpam-2759	6	5	the	the	DET
ejpam-2759	6	6	model	model	NOUN
ejpam-2759	6	7	equation	equation	NOUN
ejpam-2759	6	8	,	,	PUNCT
ejpam-2759	6	9	we	we	PRON
ejpam-2759	6	10	prove	prove	VERB
ejpam-2759	6	11	some	some	DET
ejpam-2759	6	12	l1	l1	PROPN
ejpam-2759	6	13	a	a	DET
ejpam-2759	6	14	priori	priori	ADJ
ejpam-2759	6	15	estimates	estimate	NOUN
ejpam-2759	6	16	,	,	PUNCT
ejpam-2759	6	17	then	then	ADV
ejpam-2759	6	18	we	we	PRON
ejpam-2759	6	19	prove	prove	VERB
ejpam-2759	6	20	that	that	SCONJ
ejpam-2759	6	21	the	the	DET
ejpam-2759	6	22	solution	solution	NOUN
ejpam-2759	6	23	of	of	ADP
ejpam-2759	6	24	the	the	DET
ejpam-2759	6	25	truncated	truncate	VERB
ejpam-2759	6	26	system	system	NOUN
ejpam-2759	6	27	converges	converge	VERB
ejpam-2759	6	28	to	to	ADP
ejpam-2759	6	29	the	the	DET
ejpam-2759	6	30	solution	solution	NOUN
ejpam-2759	6	31	of	of	ADP
ejpam-2759	6	32	our	our	PRON
ejpam-2759	6	33	main	main	ADJ
ejpam-2759	6	34	problem	problem	NOUN
ejpam-2759	6	35	.	.	PUNCT
ejpam-2759	7	1	2010	2010	NUM
ejpam-2759	7	2	mathematics	mathematic	NOUN
ejpam-2759	7	3	subject	subject	NOUN
ejpam-2759	7	4	classifications	classification	NOUN
ejpam-2759	7	5	:	:	PUNCT
ejpam-2759	7	6	74k15	74k15	NUM
ejpam-2759	7	7	,	,	PUNCT
ejpam-2759	7	8	34a34	34a34	NUM
ejpam-2759	7	9	,	,	PUNCT
ejpam-2759	7	10	35a01	35a01	NUM
ejpam-2759	7	11	,	,	PUNCT
ejpam-2759	7	12	35a09	35a09	NUM
ejpam-2759	7	13	,	,	PUNCT
ejpam-2759	7	14	35b45	35b45	NUM
ejpam-2759	7	15	,	,	PUNCT
ejpam-2759	7	16	35d30	35d30	NUM
ejpam-2759	7	17	,	,	PUNCT
ejpam-2759	7	18	35k57	35k57	NUM
ejpam-2759	7	19	,	,	PUNCT
ejpam-2759	7	20	54d30	54d30	NUM
ejpam-2759	7	21	key	key	ADJ
ejpam-2759	7	22	words	word	NOUN
ejpam-2759	7	23	and	and	CCONJ
ejpam-2759	7	24	phrases	phrase	NOUN
ejpam-2759	7	25	:	:	PUNCT
ejpam-2759	7	26	weak	weak	ADJ
ejpam-2759	7	27	solution	solution	NOUN
ejpam-2759	7	28	,	,	PUNCT
ejpam-2759	7	29	truncated	truncated	ADJ
ejpam-2759	7	30	functions	function	NOUN
ejpam-2759	7	31	,	,	PUNCT
ejpam-2759	7	32	supersolution	supersolution	NOUN
ejpam-2759	7	33	and	and	CCONJ
ejpam-2759	7	34	subsolution	subsolution	NOUN
ejpam-2759	7	35	,	,	PUNCT
ejpam-2759	7	36	global	global	ADJ
ejpam-2759	7	37	existence	existence	NOUN
ejpam-2759	7	38	.	.	PUNCT
ejpam-2759	8	1	1	1	X
ejpam-2759	8	2	.	.	X
ejpam-2759	8	3	introduction	introduction	NOUN
ejpam-2759	8	4	mathematical	mathematical	ADJ
ejpam-2759	8	5	models	model	NOUN
ejpam-2759	8	6	is	be	AUX
ejpam-2759	8	7	an	an	DET
ejpam-2759	8	8	abstract	abstract	ADJ
ejpam-2759	8	9	model	model	NOUN
ejpam-2759	8	10	that	that	PRON
ejpam-2759	8	11	uses	use	VERB
ejpam-2759	8	12	mathematical	mathematical	ADJ
ejpam-2759	8	13	language	language	NOUN
ejpam-2759	8	14	to	to	PART
ejpam-2759	8	15	describe	describe	VERB
ejpam-2759	8	16	the	the	DET
ejpam-2759	8	17	behaviour	behaviour	NOUN
ejpam-2759	8	18	of	of	ADP
ejpam-2759	8	19	a	a	DET
ejpam-2759	8	20	system	system	NOUN
ejpam-2759	8	21	.	.	PUNCT
ejpam-2759	9	1	mathematical	mathematical	ADJ
ejpam-2759	9	2	models	model	NOUN
ejpam-2759	9	3	are	be	AUX
ejpam-2759	9	4	used	use	VERB
ejpam-2759	9	5	particularly	particularly	ADV
ejpam-2759	9	6	in	in	ADP
ejpam-2759	9	7	the	the	DET
ejpam-2759	9	8	natural	natural	ADJ
ejpam-2759	9	9	sciences	science	NOUN
ejpam-2759	9	10	and	and	CCONJ
ejpam-2759	9	11	engineering	engineering	NOUN
ejpam-2759	9	12	disciplines	discipline	NOUN
ejpam-2759	9	13	such	such	ADJ
ejpam-2759	9	14	as	as	ADP
ejpam-2759	9	15	physics	physics	NOUN
ejpam-2759	9	16	,	,	PUNCT
ejpam-2759	9	17	biology	biology	NOUN
ejpam-2759	9	18	,	,	PUNCT
ejpam-2759	9	19	and	and	CCONJ
ejpam-2759	9	20	electrical	electrical	ADJ
ejpam-2759	9	21	engineering	engineering	NOUN
ejpam-2759	9	22	in	in	ADP
ejpam-2759	9	23	order	order	NOUN
ejpam-2759	9	24	to	to	PART
ejpam-2759	9	25	solve	solve	VERB
ejpam-2759	9	26	a	a	DET
ejpam-2759	9	27	complicated	complicated	ADJ
ejpam-2759	9	28	or	or	CCONJ
ejpam-2759	9	29	the	the	DET
ejpam-2759	9	30	difficult	difficult	ADJ
ejpam-2759	9	31	nonlinear	nonlinear	ADJ
ejpam-2759	9	32	systems	system	NOUN
ejpam-2759	9	33	[	[	X
ejpam-2759	9	34	1	1	NUM
ejpam-2759	9	35	,	,	PUNCT
ejpam-2759	9	36	8	8	NUM
ejpam-2759	9	37	,	,	PUNCT
ejpam-2759	9	38	13	13	NUM
ejpam-2759	9	39	,	,	PUNCT
ejpam-2759	9	40	14	14	NUM
ejpam-2759	9	41	,	,	PUNCT
ejpam-2759	9	42	7	7	NUM
ejpam-2759	9	43	,	,	PUNCT
ejpam-2759	9	44	2	2	NUM
ejpam-2759	9	45	]	]	PUNCT
ejpam-2759	9	46	,	,	PUNCT
ejpam-2759	9	47	so	so	SCONJ
ejpam-2759	9	48	one	one	NUM
ejpam-2759	9	49	of	of	ADP
ejpam-2759	9	50	the	the	DET
ejpam-2759	9	51	models	model	NOUN
ejpam-2759	9	52	that	that	PRON
ejpam-2759	9	53	we	we	PRON
ejpam-2759	9	54	are	be	AUX
ejpam-2759	9	55	interested	interested	ADJ
ejpam-2759	9	56	in	in	ADP
ejpam-2759	9	57	is	be	AUX
ejpam-2759	9	58	the	the	DET
ejpam-2759	9	59	ions	ion	NOUN
ejpam-2759	9	60	electro	electro	VERB
ejpam-2759	9	61	-	-	PUNCT
ejpam-2759	9	62	migration	migration	NOUN
ejpam-2759	9	63	through	through	ADP
ejpam-2759	9	64	biological	biological	ADJ
ejpam-2759	9	65	cell	cell	NOUN
ejpam-2759	9	66	membranes	membrane	NOUN
ejpam-2759	9	67	.	.	PUNCT
ejpam-2759	10	1	recently	recently	ADV
ejpam-2759	10	2	some	some	DET
ejpam-2759	10	3	several	several	ADJ
ejpam-2759	10	4	authors	author	NOUN
ejpam-2759	10	5	have	have	AUX
ejpam-2759	10	6	introduced	introduce	VERB
ejpam-2759	10	7	this	this	DET
ejpam-2759	10	8	model	model	NOUN
ejpam-2759	10	9	[	[	X
ejpam-2759	10	10	15	15	NUM
ejpam-2759	10	11	,	,	PUNCT
ejpam-2759	10	12	12	12	NUM
ejpam-2759	10	13	,	,	PUNCT
ejpam-2759	10	14	10	10	NUM
ejpam-2759	10	15	,	,	PUNCT
ejpam-2759	10	16	5	5	NUM
ejpam-2759	10	17	,	,	PUNCT
ejpam-2759	10	18	19	19	NUM
ejpam-2759	10	19	,	,	PUNCT
ejpam-2759	10	20	11	11	NUM
ejpam-2759	10	21	]	]	PUNCT
ejpam-2759	10	22	.	.	PUNCT
ejpam-2759	11	1	concerning	concern	VERB
ejpam-2759	11	2	those	those	PRON
ejpam-2759	11	3	who	who	PRON
ejpam-2759	11	4	have	have	AUX
ejpam-2759	11	5	obtained	obtain	VERB
ejpam-2759	11	6	the	the	DET
ejpam-2759	11	7	numerical	numerical	ADJ
ejpam-2759	11	8	results	result	NOUN
ejpam-2759	11	9	,	,	PUNCT
ejpam-2759	11	10	here	here	ADV
ejpam-2759	11	11	are	be	AUX
ejpam-2759	11	12	some	some	DET
ejpam-2759	11	13	references	reference	NOUN
ejpam-2759	11	14	[	[	X
ejpam-2759	11	15	3	3	NUM
ejpam-2759	11	16	,	,	PUNCT
ejpam-2759	11	17	4	4	NUM
ejpam-2759	11	18	,	,	PUNCT
ejpam-2759	11	19	6	6	NUM
ejpam-2759	11	20	]	]	PUNCT
ejpam-2759	11	21	.	.	PUNCT
ejpam-2759	12	1	these	these	DET
ejpam-2759	12	2	kinds	kind	NOUN
ejpam-2759	12	3	of	of	ADP
ejpam-2759	12	4	models	model	NOUN
ejpam-2759	12	5	have	have	AUX
ejpam-2759	12	6	been	be	AUX
ejpam-2759	12	7	studied	study	VERB
ejpam-2759	12	8	by	by	ADP
ejpam-2759	12	9	many	many	ADJ
ejpam-2759	12	10	researchers	researcher	NOUN
ejpam-2759	12	11	in	in	ADP
ejpam-2759	12	12	the	the	DET
ejpam-2759	12	13	biophysical	biophysical	ADJ
ejpam-2759	12	14	litterature	litterature	NOUN
ejpam-2759	12	15	,	,	PUNCT
ejpam-2759	12	16	[	[	X
ejpam-2759	12	17	12	12	NUM
ejpam-2759	12	18	,	,	PUNCT
ejpam-2759	12	19	10	10	NUM
ejpam-2759	12	20	]	]	PUNCT
ejpam-2759	12	21	.	.	PUNCT
ejpam-2759	13	1	for	for	ADP
ejpam-2759	13	2	more	more	ADJ
ejpam-2759	13	3	understanding	understanding	NOUN
ejpam-2759	13	4	this	this	DET
ejpam-2759	13	5	model	model	NOUN
ejpam-2759	13	6	,	,	PUNCT
ejpam-2759	13	7	we	we	PRON
ejpam-2759	13	8	will	will	AUX
ejpam-2759	13	9	begin	begin	VERB
ejpam-2759	13	10	by	by	ADP
ejpam-2759	13	11	a	a	DET
ejpam-2759	13	12	simple	simple	ADJ
ejpam-2759	13	13	description	description	NOUN
ejpam-2759	13	14	of	of	ADP
ejpam-2759	13	15	this	this	DET
ejpam-2759	13	16	phenomena	phenomena	NOUN
ejpam-2759	13	17	that	that	PRON
ejpam-2759	13	18	arise	arise	VERB
ejpam-2759	13	19	across	across	ADP
ejpam-2759	13	20	membranes	membrane	NOUN
ejpam-2759	13	21	.	.	PUNCT
ejpam-2759	14	1	a	a	DET
ejpam-2759	14	2	membrane	membrane	NOUN
ejpam-2759	14	3	,	,	PUNCT
ejpam-2759	14	4	in	in	ADP
ejpam-2759	14	5	simple	simple	ADJ
ejpam-2759	14	6	terms	term	NOUN
ejpam-2759	14	7	,	,	PUNCT
ejpam-2759	14	8	may	may	AUX
ejpam-2759	14	9	be	be	AUX
ejpam-2759	14	10	defined	define	VERB
ejpam-2759	14	11	as	as	ADP
ejpam-2759	14	12	a	a	DET
ejpam-2759	14	13	phase	phase	NOUN
ejpam-2759	14	14	that	that	PRON
ejpam-2759	14	15	acts	act	VERB
ejpam-2759	14	16	as	as	ADP
ejpam-2759	14	17	a	a	DET
ejpam-2759	14	18	barrier	barrier	NOUN
ejpam-2759	14	19	to	to	PART
ejpam-2759	14	20	prevent	prevent	VERB
ejpam-2759	14	21	mass	mass	NOUN
ejpam-2759	14	22	movement	movement	NOUN
ejpam-2759	14	23	but	but	CCONJ
ejpam-2759	14	24	allows	allow	VERB
ejpam-2759	14	25	restricted	restricted	ADJ
ejpam-2759	14	26	and/or	and/or	CCONJ
ejpam-2759	14	27	regulated	regulated	ADJ
ejpam-2759	14	28	passage	passage	NOUN
ejpam-2759	14	29	of	of	ADP
ejpam-2759	14	30	one	one	NUM
ejpam-2759	14	31	or	or	CCONJ
ejpam-2759	14	32	several	several	ADJ
ejpam-2759	14	33	∗corresponding	∗corresponde	VERB
ejpam-2759	14	34	author	author	NOUN
ejpam-2759	14	35	.	.	PUNCT
ejpam-2759	15	1	email	email	NOUN
ejpam-2759	15	2	addresses	address	NOUN
ejpam-2759	15	3	:	:	PUNCT
ejpam-2759	15	4	n.alaa@uca.ac.ma	n.alaa@uca.ac.ma	NOUN
ejpam-2759	15	5	(	(	PUNCT
ejpam-2759	15	6	n.	n.	PROPN
ejpam-2759	15	7	alaa	alaa	PROPN
ejpam-2759	15	8	)	)	PUNCT
ejpam-2759	15	9	,	,	PUNCT
ejpam-2759	15	10	aqel.fatima@gmail.com	aqel.fatima@gmail.com	X
ejpam-2759	15	11	(	(	PUNCT
ejpam-2759	15	12	f.	f.	PROPN
ejpam-2759	15	13	aqel	aqel	PROPN
ejpam-2759	15	14	)	)	PUNCT
ejpam-2759	15	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2759	16	1	272	272	NUM
ejpam-2759	16	2	c	c	AUX
ejpam-2759	16	3	©	©	PROPN
ejpam-2759	16	4	2017	2017	NUM
ejpam-2759	16	5	ejpam	ejpam	NOUN
ejpam-2759	16	6	all	all	DET
ejpam-2759	16	7	rights	right	NOUN
ejpam-2759	16	8	reserved	reserve	VERB
ejpam-2759	16	9	.	.	PUNCT
ejpam-2759	17	1	n.	n.	PROPN
ejpam-2759	17	2	alaa	alaa	PROPN
ejpam-2759	17	3	,	,	PUNCT
ejpam-2759	17	4	f.	f.	PROPN
ejpam-2759	17	5	aqel	aqel	PROPN
ejpam-2759	17	6	/	/	SYM
ejpam-2759	17	7	eur	eur	PROPN
ejpam-2759	17	8	.	.	PUNCT
ejpam-2759	18	1	j.	j.	PROPN
ejpam-2759	18	2	pure	pure	PROPN
ejpam-2759	18	3	appl	appl	PROPN
ejpam-2759	18	4	.	.	PROPN
ejpam-2759	18	5	math	math	PROPN
ejpam-2759	18	6	,	,	PUNCT
ejpam-2759	18	7	10	10	NUM
ejpam-2759	18	8	(	(	PUNCT
ejpam-2759	18	9	2	2	NUM
ejpam-2759	18	10	)	)	PUNCT
ejpam-2759	18	11	(	(	PUNCT
ejpam-2759	18	12	2017	2017	NUM
ejpam-2759	18	13	)	)	PUNCT
ejpam-2759	18	14	,	,	PUNCT
ejpam-2759	18	15	272	272	NUM
ejpam-2759	18	16	-	-	SYM
ejpam-2759	18	17	294	294	NUM
ejpam-2759	18	18	273	273	NUM
ejpam-2759	18	19	species	specie	NOUN
ejpam-2759	18	20	through	through	ADP
ejpam-2759	18	21	it	it	PRON
ejpam-2759	18	22	.	.	PUNCT
ejpam-2759	19	1	it	it	PRON
ejpam-2759	19	2	can	can	AUX
ejpam-2759	19	3	be	be	AUX
ejpam-2759	19	4	a	a	DET
ejpam-2759	19	5	solid	solid	ADJ
ejpam-2759	19	6	or	or	CCONJ
ejpam-2759	19	7	liquid	liquid	ADJ
ejpam-2759	19	8	containing	contain	VERB
ejpam-2759	19	9	ionized	ionized	ADJ
ejpam-2759	19	10	or	or	CCONJ
ejpam-2759	19	11	ionizable	ionizable	ADJ
ejpam-2759	19	12	groups	group	NOUN
ejpam-2759	19	13	,	,	PUNCT
ejpam-2759	19	14	or	or	CCONJ
ejpam-2759	19	15	it	it	PRON
ejpam-2759	19	16	can	can	AUX
ejpam-2759	19	17	be	be	AUX
ejpam-2759	19	18	completely	completely	ADV
ejpam-2759	19	19	un	un	ADJ
ejpam-2759	19	20	-	-	ADJ
ejpam-2759	19	21	ionized	ionized	ADJ
ejpam-2759	19	22	.	.	PUNCT
ejpam-2759	20	1	functionally	functionally	ADV
ejpam-2759	20	2	,	,	PUNCT
ejpam-2759	20	3	all	all	DET
ejpam-2759	20	4	membranes	membrane	NOUN
ejpam-2759	20	5	are	be	AUX
ejpam-2759	20	6	active	active	ADJ
ejpam-2759	20	7	when	when	SCONJ
ejpam-2759	20	8	used	use	VERB
ejpam-2759	20	9	as	as	ADP
ejpam-2759	20	10	barriers	barrier	NOUN
ejpam-2759	20	11	to	to	PART
ejpam-2759	20	12	separate	separate	VERB
ejpam-2759	20	13	two	two	NUM
ejpam-2759	20	14	other	other	ADJ
ejpam-2759	20	15	phases	phase	NOUN
ejpam-2759	20	16	unless	unless	SCONJ
ejpam-2759	20	17	they	they	PRON
ejpam-2759	20	18	are	be	AUX
ejpam-2759	20	19	too	too	ADV
ejpam-2759	20	20	porous	porous	ADJ
ejpam-2759	20	21	or	or	CCONJ
ejpam-2759	20	22	too	too	ADV
ejpam-2759	20	23	fragile	fragile	ADJ
ejpam-2759	20	24	.	.	PUNCT
ejpam-2759	21	1	passing	pass	VERB
ejpam-2759	21	2	through	through	ADP
ejpam-2759	21	3	the	the	DET
ejpam-2759	21	4	barrier	barrier	NOUN
ejpam-2759	21	5	of	of	ADP
ejpam-2759	21	6	a	a	DET
ejpam-2759	21	7	cell	cell	NOUN
ejpam-2759	21	8	is	be	AUX
ejpam-2759	21	9	to	to	PART
ejpam-2759	21	10	move	move	VERB
ejpam-2759	21	11	materials	material	NOUN
ejpam-2759	21	12	into	into	ADP
ejpam-2759	21	13	and	and	CCONJ
ejpam-2759	21	14	out	out	ADP
ejpam-2759	21	15	of	of	ADP
ejpam-2759	21	16	a	a	DET
ejpam-2759	21	17	cell	cell	NOUN
ejpam-2759	21	18	and	and	CCONJ
ejpam-2759	21	19	this	this	PRON
ejpam-2759	21	20	is	be	AUX
ejpam-2759	21	21	important	important	ADJ
ejpam-2759	21	22	in	in	ADP
ejpam-2759	21	23	cell	cell	NOUN
ejpam-2759	21	24	communication	communication	NOUN
ejpam-2759	21	25	and	and	CCONJ
ejpam-2759	21	26	normal	normal	ADJ
ejpam-2759	21	27	cell	cell	NOUN
ejpam-2759	21	28	function	function	NOUN
ejpam-2759	21	29	.	.	PUNCT
ejpam-2759	22	1	for	for	ADP
ejpam-2759	22	2	example	example	NOUN
ejpam-2759	22	3	the	the	DET
ejpam-2759	22	4	cell	cell	NOUN
ejpam-2759	22	5	of	of	ADP
ejpam-2759	22	6	the	the	DET
ejpam-2759	22	7	nervous	nervous	ADJ
ejpam-2759	22	8	system	system	NOUN
ejpam-2759	22	9	function	function	VERB
ejpam-2759	22	10	properly	properly	ADV
ejpam-2759	22	11	.	.	PUNCT
ejpam-2759	23	1	the	the	DET
ejpam-2759	23	2	ions	ion	NOUN
ejpam-2759	23	3	water	water	NOUN
ejpam-2759	23	4	,	,	PUNCT
ejpam-2759	23	5	proteins	protein	NOUN
ejpam-2759	23	6	,	,	PUNCT
ejpam-2759	23	7	macromolecules	macromolecule	NOUN
ejpam-2759	23	8	and	and	CCONJ
ejpam-2759	23	9	nutrients	nutrient	NOUN
ejpam-2759	23	10	need	need	VERB
ejpam-2759	23	11	to	to	PART
ejpam-2759	23	12	be	be	AUX
ejpam-2759	23	13	able	able	ADJ
ejpam-2759	23	14	to	to	PART
ejpam-2759	23	15	pass	pass	VERB
ejpam-2759	23	16	in	in	ADV
ejpam-2759	23	17	and	and	CCONJ
ejpam-2759	23	18	out	out	ADP
ejpam-2759	23	19	of	of	ADP
ejpam-2759	23	20	the	the	DET
ejpam-2759	23	21	cells	cell	NOUN
ejpam-2759	23	22	.	.	PUNCT
ejpam-2759	24	1	the	the	DET
ejpam-2759	24	2	first	first	ADJ
ejpam-2759	24	3	proposal	proposal	NOUN
ejpam-2759	24	4	that	that	SCONJ
ejpam-2759	24	5	cellular	cellular	ADJ
ejpam-2759	24	6	membranes	membrane	NOUN
ejpam-2759	24	7	might	might	AUX
ejpam-2759	24	8	contain	contain	VERB
ejpam-2759	24	9	a	a	DET
ejpam-2759	24	10	lipid	lipid	NOUN
ejpam-2759	24	11	bilayer	bilayer	NOUN
ejpam-2759	24	12	was	be	AUX
ejpam-2759	24	13	made	make	VERB
ejpam-2759	24	14	in	in	ADP
ejpam-2759	24	15	1925	1925	NUM
ejpam-2759	24	16	by	by	ADP
ejpam-2759	24	17	two	two	NUM
ejpam-2759	24	18	dutch	dutch	ADJ
ejpam-2759	24	19	scientists	scientist	NOUN
ejpam-2759	24	20	,	,	PUNCT
ejpam-2759	24	21	e.	e.	PROPN
ejpam-2759	24	22	gorter	gorter	PROPN
ejpam-2759	24	23	and	and	CCONJ
ejpam-2759	24	24	f.	f.	PROPN
ejpam-2759	24	25	grendel	grendel	PROPN
ejpam-2759	25	1	[	[	X
ejpam-2759	25	2	9	9	NUM
ejpam-2759	25	3	]	]	PUNCT
ejpam-2759	25	4	,	,	PUNCT
ejpam-2759	25	5	these	these	DET
ejpam-2759	25	6	two	two	NUM
ejpam-2759	25	7	reaserchers	reasercher	NOUN
ejpam-2759	25	8	extracted	extract	VERB
ejpam-2759	25	9	the	the	DET
ejpam-2759	25	10	membrane	membrane	NOUN
ejpam-2759	25	11	lipids	lipid	NOUN
ejpam-2759	25	12	from	from	ADP
ejpam-2759	25	13	a	a	DET
ejpam-2759	25	14	known	know	VERB
ejpam-2759	25	15	number	number	NOUN
ejpam-2759	25	16	of	of	ADP
ejpam-2759	25	17	red	red	ADJ
ejpam-2759	25	18	blood	blood	NOUN
ejpam-2759	25	19	cells	cell	NOUN
ejpam-2759	25	20	,	,	PUNCT
ejpam-2759	25	21	corresponding	correspond	VERB
ejpam-2759	25	22	to	to	ADP
ejpam-2759	25	23	a	a	DET
ejpam-2759	25	24	known	know	VERB
ejpam-2759	25	25	surface	surface	NOUN
ejpam-2759	25	26	area	area	NOUN
ejpam-2759	25	27	of	of	ADP
ejpam-2759	25	28	plasma	plasma	NOUN
ejpam-2759	25	29	membrane	membrane	NOUN
ejpam-2759	25	30	.	.	PUNCT
ejpam-2759	26	1	they	they	PRON
ejpam-2759	26	2	then	then	ADV
ejpam-2759	26	3	determined	determine	VERB
ejpam-2759	26	4	the	the	DET
ejpam-2759	26	5	surface	surface	NOUN
ejpam-2759	26	6	area	area	NOUN
ejpam-2759	26	7	occupied	occupy	VERB
ejpam-2759	26	8	by	by	ADP
ejpam-2759	26	9	a	a	DET
ejpam-2759	26	10	monolayer	monolayer	NOUN
ejpam-2759	26	11	of	of	ADP
ejpam-2759	26	12	the	the	DET
ejpam-2759	26	13	extracted	extract	VERB
ejpam-2759	26	14	lipid	lipid	NOUN
ejpam-2759	26	15	spread	spread	VERB
ejpam-2759	26	16	out	out	ADP
ejpam-2759	26	17	at	at	ADP
ejpam-2759	26	18	an	an	DET
ejpam-2759	26	19	air	air	NOUN
ejpam-2759	26	20	-	-	PUNCT
ejpam-2759	26	21	water	water	NOUN
ejpam-2759	26	22	interface	interface	NOUN
ejpam-2759	26	23	.	.	PUNCT
ejpam-2759	27	1	the	the	DET
ejpam-2759	27	2	surface	surface	NOUN
ejpam-2759	27	3	area	area	NOUN
ejpam-2759	27	4	of	of	ADP
ejpam-2759	27	5	the	the	DET
ejpam-2759	27	6	lipid	lipid	NOUN
ejpam-2759	27	7	monolayer	monolayer	NOUN
ejpam-2759	27	8	turned	turn	VERB
ejpam-2759	27	9	out	out	ADP
ejpam-2759	27	10	to	to	PART
ejpam-2759	27	11	be	be	AUX
ejpam-2759	27	12	twice	twice	ADV
ejpam-2759	27	13	that	that	PRON
ejpam-2759	27	14	occupied	occupy	VERB
ejpam-2759	27	15	by	by	ADP
ejpam-2759	27	16	the	the	DET
ejpam-2759	27	17	erythrocyte	erythrocyte	NOUN
ejpam-2759	27	18	plasma	plasma	NOUN
ejpam-2759	27	19	membranes	membrane	NOUN
ejpam-2759	27	20	,	,	PUNCT
ejpam-2759	27	21	leading	lead	VERB
ejpam-2759	27	22	to	to	ADP
ejpam-2759	27	23	the	the	DET
ejpam-2759	27	24	conclusion	conclusion	NOUN
ejpam-2759	27	25	that	that	SCONJ
ejpam-2759	27	26	the	the	DET
ejpam-2759	27	27	membranes	membrane	NOUN
ejpam-2759	27	28	consisted	consist	VERB
ejpam-2759	27	29	of	of	ADP
ejpam-2759	27	30	lipid	lipid	ADJ
ejpam-2759	27	31	bilayers	bilayer	NOUN
ejpam-2759	27	32	rather	rather	ADV
ejpam-2759	27	33	than	than	ADP
ejpam-2759	27	34	monolayers	monolayer	NOUN
ejpam-2759	27	35	.	.	PUNCT
ejpam-2759	28	1	the	the	DET
ejpam-2759	28	2	cells	cell	NOUN
ejpam-2759	28	3	of	of	ADP
ejpam-2759	28	4	the	the	DET
ejpam-2759	28	5	nervous	nervous	ADJ
ejpam-2759	28	6	system	system	NOUN
ejpam-2759	28	7	form	form	NOUN
ejpam-2759	28	8	networks	network	NOUN
ejpam-2759	28	9	.	.	PUNCT
ejpam-2759	29	1	they	they	PRON
ejpam-2759	29	2	are	be	AUX
ejpam-2759	29	3	like	like	ADP
ejpam-2759	29	4	all	all	DET
ejpam-2759	29	5	the	the	DET
ejpam-2759	29	6	cells	cell	NOUN
ejpam-2759	29	7	that	that	PRON
ejpam-2759	29	8	are	be	AUX
ejpam-2759	29	9	able	able	ADJ
ejpam-2759	29	10	to	to	PART
ejpam-2759	29	11	function	function	VERB
ejpam-2759	29	12	because	because	SCONJ
ejpam-2759	29	13	they	they	PRON
ejpam-2759	29	14	can	can	AUX
ejpam-2759	29	15	control	control	VERB
ejpam-2759	29	16	the	the	DET
ejpam-2759	29	17	substances	substance	NOUN
ejpam-2759	29	18	inside	inside	ADP
ejpam-2759	29	19	of	of	ADP
ejpam-2759	29	20	the	the	DET
ejpam-2759	29	21	cell	cell	NOUN
ejpam-2759	29	22	and	and	CCONJ
ejpam-2759	29	23	out	out	ADP
ejpam-2759	29	24	of	of	ADP
ejpam-2759	29	25	the	the	DET
ejpam-2759	29	26	cell	cell	NOUN
ejpam-2759	29	27	,	,	PUNCT
ejpam-2759	29	28	all	all	DET
ejpam-2759	29	29	this	this	DET
ejpam-2759	29	30	materials	material	NOUN
ejpam-2759	29	31	move	move	VERB
ejpam-2759	29	32	in	in	ADP
ejpam-2759	29	33	and	and	CCONJ
ejpam-2759	29	34	out	out	ADP
ejpam-2759	29	35	of	of	ADP
ejpam-2759	29	36	the	the	DET
ejpam-2759	29	37	cell	cell	NOUN
ejpam-2759	29	38	by	by	ADP
ejpam-2759	29	39	passing	pass	VERB
ejpam-2759	29	40	to	to	ADP
ejpam-2759	29	41	the	the	DET
ejpam-2759	29	42	plasma	plasma	NOUN
ejpam-2759	29	43	membrane	membrane	NOUN
ejpam-2759	29	44	.	.	PUNCT
ejpam-2759	30	1	the	the	DET
ejpam-2759	30	2	plasma	plasma	NOUN
ejpam-2759	30	3	membrane	membrane	NOUN
ejpam-2759	30	4	surround	surround	VERB
ejpam-2759	30	5	the	the	DET
ejpam-2759	30	6	cell	cell	NOUN
ejpam-2759	30	7	and	and	CCONJ
ejpam-2759	30	8	separate	separate	VERB
ejpam-2759	30	9	the	the	DET
ejpam-2759	30	10	interior	interior	NOUN
ejpam-2759	30	11	(	(	PUNCT
ejpam-2759	30	12	intracellular)from	intracellular)from	ADP
ejpam-2759	30	13	the	the	DET
ejpam-2759	30	14	exterior	exterior	ADJ
ejpam-2759	30	15	(	(	PUNCT
ejpam-2759	30	16	extracellular	extracellular	ADJ
ejpam-2759	30	17	)	)	PUNCT
ejpam-2759	30	18	of	of	ADP
ejpam-2759	30	19	the	the	DET
ejpam-2759	30	20	cell	cell	NOUN
ejpam-2759	30	21	environment	environment	NOUN
ejpam-2759	30	22	.	.	PUNCT
ejpam-2759	31	1	the	the	DET
ejpam-2759	31	2	impermeability	impermeability	NOUN
ejpam-2759	31	3	of	of	ADP
ejpam-2759	31	4	the	the	DET
ejpam-2759	31	5	cell	cell	NOUN
ejpam-2759	31	6	membranes	membrane	NOUN
ejpam-2759	31	7	is	be	AUX
ejpam-2759	31	8	composed	compose	VERB
ejpam-2759	31	9	of	of	ADP
ejpam-2759	31	10	a	a	DET
ejpam-2759	31	11	lipid	lipid	NOUN
ejpam-2759	31	12	bilayer	bilayer	NOUN
ejpam-2759	31	13	,	,	PUNCT
ejpam-2759	31	14	which	which	PRON
ejpam-2759	31	15	is	be	AUX
ejpam-2759	31	16	a	a	DET
ejpam-2759	31	17	universal	universal	ADJ
ejpam-2759	31	18	component	component	NOUN
ejpam-2759	31	19	of	of	ADP
ejpam-2759	31	20	all	all	DET
ejpam-2759	31	21	cell	cell	NOUN
ejpam-2759	31	22	membrane	membrane	NOUN
ejpam-2759	31	23	,	,	PUNCT
ejpam-2759	31	24	its	its	PRON
ejpam-2759	31	25	role	role	NOUN
ejpam-2759	31	26	is	be	AUX
ejpam-2759	31	27	critical	critical	ADJ
ejpam-2759	31	28	because	because	SCONJ
ejpam-2759	31	29	its	its	PRON
ejpam-2759	31	30	structural	structural	ADJ
ejpam-2759	31	31	components	component	NOUN
ejpam-2759	31	32	provide	provide	VERB
ejpam-2759	31	33	the	the	DET
ejpam-2759	31	34	barrier	barrier	NOUN
ejpam-2759	31	35	that	that	PRON
ejpam-2759	31	36	marks	mark	VERB
ejpam-2759	31	37	the	the	DET
ejpam-2759	31	38	boundaries	boundary	NOUN
ejpam-2759	31	39	of	of	ADP
ejpam-2759	31	40	a	a	DET
ejpam-2759	31	41	cell	cell	NOUN
ejpam-2759	31	42	.	.	PUNCT
ejpam-2759	32	1	the	the	DET
ejpam-2759	32	2	structure	structure	NOUN
ejpam-2759	32	3	is	be	AUX
ejpam-2759	32	4	called	call	VERB
ejpam-2759	32	5	a	a	DET
ejpam-2759	32	6	lipid	lipid	NOUN
ejpam-2759	32	7	bilayer	bilayer	NOUN
ejpam-2759	32	8	,	,	PUNCT
ejpam-2759	32	9	because	because	SCONJ
ejpam-2759	32	10	it	it	PRON
ejpam-2759	32	11	is	be	AUX
ejpam-2759	32	12	composed	compose	VERB
ejpam-2759	32	13	of	of	ADP
ejpam-2759	32	14	two	two	NUM
ejpam-2759	32	15	layers	layer	NOUN
ejpam-2759	32	16	of	of	ADP
ejpam-2759	32	17	fat	fat	ADJ
ejpam-2759	32	18	cells	cell	NOUN
ejpam-2759	32	19	organized	organize	VERB
ejpam-2759	32	20	in	in	ADP
ejpam-2759	32	21	two	two	NUM
ejpam-2759	32	22	sheets	sheet	NOUN
ejpam-2759	32	23	.	.	PUNCT
ejpam-2759	33	1	the	the	DET
ejpam-2759	33	2	lipid	lipid	NOUN
ejpam-2759	33	3	bilayer	bilayer	NOUN
ejpam-2759	33	4	is	be	AUX
ejpam-2759	33	5	typically	typically	ADV
ejpam-2759	33	6	nanometers	nanometer	NOUN
ejpam-2759	33	7	thick	thick	ADJ
ejpam-2759	33	8	and	and	CCONJ
ejpam-2759	33	9	surrounds	surround	VERB
ejpam-2759	33	10	all	all	DET
ejpam-2759	33	11	the	the	DET
ejpam-2759	33	12	cells	cell	NOUN
ejpam-2759	33	13	providing	provide	VERB
ejpam-2759	33	14	the	the	DET
ejpam-2759	33	15	cell	cell	NOUN
ejpam-2759	33	16	membrane	membrane	NOUN
ejpam-2759	33	17	structure	structure	NOUN
ejpam-2759	33	18	.	.	PUNCT
ejpam-2759	34	1	the	the	DET
ejpam-2759	34	2	phospholipids	phospholipid	NOUN
ejpam-2759	34	3	organize	organize	VERB
ejpam-2759	34	4	themselves	themselves	PRON
ejpam-2759	34	5	in	in	ADP
ejpam-2759	34	6	a	a	DET
ejpam-2759	34	7	bilayer	bilayer	NOUN
ejpam-2759	34	8	to	to	PART
ejpam-2759	34	9	hide	hide	VERB
ejpam-2759	34	10	their	their	PRON
ejpam-2759	34	11	hydrophobic	hydrophobic	NOUN
ejpam-2759	34	12	tail	tail	NOUN
ejpam-2759	34	13	regions	region	NOUN
ejpam-2759	34	14	and	and	CCONJ
ejpam-2759	34	15	expose	expose	VERB
ejpam-2759	34	16	the	the	DET
ejpam-2759	34	17	hydrophilic	hydrophilic	ADJ
ejpam-2759	34	18	regions	region	NOUN
ejpam-2759	34	19	to	to	ADP
ejpam-2759	34	20	water	water	NOUN
ejpam-2759	34	21	.	.	PUNCT
ejpam-2759	35	1	this	this	DET
ejpam-2759	35	2	organization	organization	NOUN
ejpam-2759	35	3	is	be	AUX
ejpam-2759	35	4	spontaneous	spontaneous	ADJ
ejpam-2759	35	5	,	,	PUNCT
ejpam-2759	35	6	meaning	mean	VERB
ejpam-2759	35	7	it	it	PRON
ejpam-2759	35	8	is	be	AUX
ejpam-2759	35	9	a	a	DET
ejpam-2759	35	10	natural	natural	ADJ
ejpam-2759	35	11	process	process	NOUN
ejpam-2759	35	12	and	and	CCONJ
ejpam-2759	35	13	does	do	AUX
ejpam-2759	35	14	not	not	PART
ejpam-2759	35	15	require	require	VERB
ejpam-2759	35	16	energy	energy	NOUN
ejpam-2759	35	17	.	.	PUNCT
ejpam-2759	36	1	this	this	DET
ejpam-2759	36	2	structure	structure	NOUN
ejpam-2759	36	3	forms	form	VERB
ejpam-2759	36	4	the	the	DET
ejpam-2759	36	5	layer	layer	NOUN
ejpam-2759	36	6	that	that	PRON
ejpam-2759	36	7	is	be	AUX
ejpam-2759	36	8	the	the	DET
ejpam-2759	36	9	wall	wall	NOUN
ejpam-2759	36	10	between	between	ADP
ejpam-2759	36	11	the	the	DET
ejpam-2759	36	12	inside	inside	NOUN
ejpam-2759	36	13	and	and	CCONJ
ejpam-2759	36	14	outside	outside	ADP
ejpam-2759	36	15	of	of	ADP
ejpam-2759	36	16	the	the	DET
ejpam-2759	36	17	cell	cell	NOUN
ejpam-2759	36	18	.	.	PUNCT
ejpam-2759	37	1	one	one	NUM
ejpam-2759	37	2	of	of	ADP
ejpam-2759	37	3	the	the	DET
ejpam-2759	37	4	mechanisms	mechanism	NOUN
ejpam-2759	37	5	for	for	ADP
ejpam-2759	37	6	getting	get	VERB
ejpam-2759	37	7	in	in	ADP
ejpam-2759	37	8	and	and	CCONJ
ejpam-2759	37	9	out	out	ADP
ejpam-2759	37	10	of	of	ADP
ejpam-2759	37	11	the	the	DET
ejpam-2759	37	12	cell	cell	NOUN
ejpam-2759	37	13	,	,	PUNCT
ejpam-2759	37	14	we	we	PRON
ejpam-2759	37	15	have	have	VERB
ejpam-2759	37	16	the	the	DET
ejpam-2759	37	17	diffusion	diffusion	NOUN
ejpam-2759	37	18	across	across	ADP
ejpam-2759	37	19	the	the	DET
ejpam-2759	37	20	lipid	lipid	NOUN
ejpam-2759	37	21	bilayer	bilayer	NOUN
ejpam-2759	37	22	.	.	PUNCT
ejpam-2759	38	1	since	since	SCONJ
ejpam-2759	38	2	membranes	membrane	NOUN
ejpam-2759	38	3	are	be	AUX
ejpam-2759	38	4	held	hold	VERB
ejpam-2759	38	5	together	together	ADV
ejpam-2759	38	6	weak	weak	ADJ
ejpam-2759	38	7	forces	force	NOUN
ejpam-2759	38	8	,	,	PUNCT
ejpam-2759	38	9	certain	certain	ADJ
ejpam-2759	38	10	molecules	molecule	NOUN
ejpam-2759	38	11	can	can	AUX
ejpam-2759	38	12	slip	slip	VERB
ejpam-2759	38	13	between	between	ADP
ejpam-2759	38	14	the	the	DET
ejpam-2759	38	15	lipids	lipid	NOUN
ejpam-2759	38	16	in	in	ADP
ejpam-2759	38	17	the	the	DET
ejpam-2759	38	18	bilayer	bilayer	NOUN
ejpam-2759	38	19	and	and	CCONJ
ejpam-2759	38	20	across	across	ADP
ejpam-2759	38	21	from	from	ADP
ejpam-2759	38	22	one	one	NUM
ejpam-2759	38	23	side	side	NOUN
ejpam-2759	38	24	to	to	ADP
ejpam-2759	38	25	the	the	DET
ejpam-2759	38	26	other	other	ADJ
ejpam-2759	38	27	.	.	PUNCT
ejpam-2759	39	1	this	this	DET
ejpam-2759	39	2	spontaneous	spontaneous	ADJ
ejpam-2759	39	3	process	process	NOUN
ejpam-2759	39	4	is	be	AUX
ejpam-2759	39	5	termed	term	VERB
ejpam-2759	39	6	diffusion	diffusion	NOUN
ejpam-2759	39	7	.	.	PUNCT
ejpam-2759	40	1	this	this	DET
ejpam-2759	40	2	process	process	NOUN
ejpam-2759	40	3	allows	allow	VERB
ejpam-2759	40	4	molecules	molecule	NOUN
ejpam-2759	40	5	,	,	PUNCT
ejpam-2759	40	6	that	that	PRON
ejpam-2759	40	7	are	be	AUX
ejpam-2759	40	8	small	small	ADJ
ejpam-2759	40	9	and	and	CCONJ
ejpam-2759	40	10	lipophilic	lipophilic	ADJ
ejpam-2759	40	11	(	(	PUNCT
ejpam-2759	40	12	lipid	lipid	NOUN
ejpam-2759	40	13	soluble),including	soluble),include	VERB
ejpam-2759	40	14	most	most	ADJ
ejpam-2759	40	15	drugs	drug	NOUN
ejpam-2759	40	16	,	,	PUNCT
ejpam-2759	40	17	to	to	PART
ejpam-2759	40	18	easily	easily	ADV
ejpam-2759	40	19	enter	enter	VERB
ejpam-2759	40	20	and	and	CCONJ
ejpam-2759	40	21	exit	exit	NOUN
ejpam-2759	40	22	cells	cell	NOUN
ejpam-2759	40	23	.	.	PUNCT
ejpam-2759	41	1	more	more	ADJ
ejpam-2759	41	2	on	on	ADP
ejpam-2759	41	3	this	this	PRON
ejpam-2759	41	4	later	later	ADV
ejpam-2759	41	5	.	.	PUNCT
ejpam-2759	42	1	the	the	DET
ejpam-2759	42	2	electrochemical	electrochemical	ADJ
ejpam-2759	42	3	equilibrium	equilibrium	NOUN
ejpam-2759	42	4	of	of	ADP
ejpam-2759	42	5	the	the	DET
ejpam-2759	42	6	electro	electro	ADJ
ejpam-2759	42	7	-	-	PUNCT
ejpam-2759	42	8	diffusion	diffusion	NOUN
ejpam-2759	42	9	system	system	NOUN
ejpam-2759	42	10	is	be	AUX
ejpam-2759	42	11	the	the	DET
ejpam-2759	42	12	result	result	NOUN
ejpam-2759	42	13	of	of	ADP
ejpam-2759	42	14	delicate	delicate	ADJ
ejpam-2759	42	15	balance	balance	NOUN
ejpam-2759	42	16	between	between	ADP
ejpam-2759	42	17	concentration	concentration	NOUN
ejpam-2759	42	18	gradients	gradient	NOUN
ejpam-2759	42	19	and	and	CCONJ
ejpam-2759	42	20	electrostatic	electrostatic	ADJ
ejpam-2759	42	21	forces	force	NOUN
ejpam-2759	42	22	and	and	CCONJ
ejpam-2759	42	23	requires	require	VERB
ejpam-2759	42	24	a	a	DET
ejpam-2759	42	25	true	true	ADJ
ejpam-2759	42	26	compromise	compromise	NOUN
ejpam-2759	42	27	;	;	PUNCT
ejpam-2759	42	28	microscopic	microscopic	ADJ
ejpam-2759	42	29	electro	electro	NOUN
ejpam-2759	42	30	-	-	PUNCT
ejpam-2759	42	31	neutrality	neutrality	NOUN
ejpam-2759	42	32	does	do	AUX
ejpam-2759	42	33	not	not	PART
ejpam-2759	42	34	hold	hold	VERB
ejpam-2759	42	35	in	in	ADP
ejpam-2759	42	36	a	a	DET
ejpam-2759	42	37	boundary	boundary	ADJ
ejpam-2759	42	38	layer	layer	NOUN
ejpam-2759	42	39	around	around	ADP
ejpam-2759	42	40	the	the	DET
ejpam-2759	42	41	location	location	NOUN
ejpam-2759	42	42	of	of	ADP
ejpam-2759	42	43	membrane	membrane	NOUN
ejpam-2759	42	44	impermeability	impermeability	NOUN
ejpam-2759	42	45	.	.	PUNCT
ejpam-2759	43	1	this	this	PRON
ejpam-2759	43	2	implies	imply	VERB
ejpam-2759	43	3	the	the	DET
ejpam-2759	43	4	presence	presence	NOUN
ejpam-2759	43	5	of	of	ADP
ejpam-2759	43	6	excess	excess	ADJ
ejpam-2759	43	7	positive	positive	ADJ
ejpam-2759	43	8	or	or	CCONJ
ejpam-2759	43	9	negative	negative	ADJ
ejpam-2759	43	10	changes	change	NOUN
ejpam-2759	43	11	on	on	ADP
ejpam-2759	43	12	either	either	DET
ejpam-2759	43	13	side	side	NOUN
ejpam-2759	43	14	of	of	ADP
ejpam-2759	43	15	the	the	DET
ejpam-2759	43	16	membrane	membrane	NOUN
ejpam-2759	43	17	and	and	CCONJ
ejpam-2759	43	18	causes	cause	VERB
ejpam-2759	43	19	a	a	DET
ejpam-2759	43	20	nonzero	nonzero	ADJ
ejpam-2759	43	21	electrostatic	electrostatic	ADJ
ejpam-2759	43	22	potential	potential	ADJ
ejpam-2759	43	23	difference	difference	NOUN
ejpam-2759	43	24	across	across	ADP
ejpam-2759	43	25	the	the	DET
ejpam-2759	43	26	membrane	membrane	NOUN
ejpam-2759	43	27	.	.	PUNCT
ejpam-2759	44	1	in	in	ADP
ejpam-2759	44	2	turn	turn	NOUN
ejpam-2759	44	3	,	,	PUNCT
ejpam-2759	44	4	a	a	DET
ejpam-2759	44	5	portion	portion	NOUN
ejpam-2759	44	6	of	of	ADP
ejpam-2759	44	7	the	the	DET
ejpam-2759	44	8	permeable	permeable	ADJ
ejpam-2759	44	9	salt	salt	NOUN
ejpam-2759	44	10	is	be	AUX
ejpam-2759	44	11	excluded	exclude	VERB
ejpam-2759	44	12	from	from	ADP
ejpam-2759	44	13	the	the	DET
ejpam-2759	44	14	compartment	compartment	NOUN
ejpam-2759	44	15	confining	confine	VERB
ejpam-2759	44	16	the	the	DET
ejpam-2759	44	17	large	large	ADJ
ejpam-2759	44	18	,	,	PUNCT
ejpam-2759	44	19	charge	charge	NOUN
ejpam-2759	44	20	-	-	PUNCT
ejpam-2759	44	21	carrying	carry	VERB
ejpam-2759	44	22	protein	protein	NOUN
ejpam-2759	44	23	,	,	PUNCT
ejpam-2759	44	24	which	which	PRON
ejpam-2759	44	25	causes	cause	VERB
ejpam-2759	44	26	a	a	DET
ejpam-2759	44	27	nonzero	nonzero	NOUN
ejpam-2759	44	28	concentration	concentration	NOUN
ejpam-2759	44	29	gradient	gradient	NOUN
ejpam-2759	44	30	across	across	ADP
ejpam-2759	44	31	the	the	DET
ejpam-2759	44	32	membrane	membrane	NOUN
ejpam-2759	44	33	which	which	PRON
ejpam-2759	44	34	is	be	AUX
ejpam-2759	44	35	the	the	DET
ejpam-2759	44	36	key	key	ADJ
ejpam-2759	44	37	component	component	NOUN
ejpam-2759	44	38	of	of	ADP
ejpam-2759	44	39	the	the	DET
ejpam-2759	44	40	biological	biological	ADJ
ejpam-2759	44	41	world	world	NOUN
ejpam-2759	44	42	.	.	PUNCT
ejpam-2759	45	1	n.	n.	PROPN
ejpam-2759	45	2	alaa	alaa	PROPN
ejpam-2759	45	3	,	,	PUNCT
ejpam-2759	45	4	f.	f.	PROPN
ejpam-2759	45	5	aqel	aqel	PROPN
ejpam-2759	45	6	/	/	SYM
ejpam-2759	45	7	eur	eur	PROPN
ejpam-2759	45	8	.	.	PUNCT
ejpam-2759	46	1	j.	j.	PROPN
ejpam-2759	46	2	pure	pure	PROPN
ejpam-2759	46	3	appl	appl	PROPN
ejpam-2759	46	4	.	.	PROPN
ejpam-2759	46	5	math	math	PROPN
ejpam-2759	46	6	,	,	PUNCT
ejpam-2759	46	7	10	10	NUM
ejpam-2759	46	8	(	(	PUNCT
ejpam-2759	46	9	2	2	NUM
ejpam-2759	46	10	)	)	PUNCT
ejpam-2759	46	11	(	(	PUNCT
ejpam-2759	46	12	2017	2017	NUM
ejpam-2759	46	13	)	)	PUNCT
ejpam-2759	46	14	,	,	PUNCT
ejpam-2759	46	15	272	272	NUM
ejpam-2759	46	16	-	-	SYM
ejpam-2759	46	17	294	294	NUM
ejpam-2759	46	18	274	274	NUM
ejpam-2759	46	19	in	in	ADP
ejpam-2759	46	20	this	this	DET
ejpam-2759	46	21	work	work	NOUN
ejpam-2759	46	22	,	,	PUNCT
ejpam-2759	46	23	we	we	PRON
ejpam-2759	46	24	consider	consider	VERB
ejpam-2759	46	25	a	a	DET
ejpam-2759	46	26	class	class	NOUN
ejpam-2759	46	27	of	of	ADP
ejpam-2759	46	28	models	model	NOUN
ejpam-2759	46	29	of	of	ADP
ejpam-2759	46	30	ions	ion	NOUN
ejpam-2759	46	31	migration	migration	NOUN
ejpam-2759	46	32	through	through	ADP
ejpam-2759	46	33	biological	biological	ADJ
ejpam-2759	46	34	cell	cell	NOUN
ejpam-2759	46	35	membranes	membrane	NOUN
ejpam-2759	46	36	.	.	PUNCT
ejpam-2759	47	1	where	where	SCONJ
ejpam-2759	47	2	the	the	DET
ejpam-2759	47	3	concentrations	concentration	NOUN
ejpam-2759	47	4	satisfy	satisfy	VERB
ejpam-2759	47	5	the	the	DET
ejpam-2759	47	6	nernst	nernst	PROPN
ejpam-2759	47	7	planck	planck	PROPN
ejpam-2759	47	8	flux	flux	PROPN
ejpam-2759	47	9	equation	equation	NOUN
ejpam-2759	47	10	,	,	PUNCT
ejpam-2759	47	11	including	include	VERB
ejpam-2759	47	12	a	a	DET
ejpam-2759	47	13	kinetic	kinetic	ADJ
ejpam-2759	47	14	reaction	reaction	NOUN
ejpam-2759	47	15	terms	term	NOUN
ejpam-2759	47	16	and	and	CCONJ
ejpam-2759	47	17	the	the	DET
ejpam-2759	47	18	potential	potential	NOUN
ejpam-2759	47	19	is	be	AUX
ejpam-2759	47	20	given	give	VERB
ejpam-2759	47	21	by	by	ADP
ejpam-2759	47	22	the	the	DET
ejpam-2759	47	23	poisson	poisson	NOUN
ejpam-2759	47	24	equation	equation	NOUN
ejpam-2759	47	25	,	,	PUNCT
ejpam-2759	47	26	for	for	ADP
ejpam-2759	47	27	all	all	DET
ejpam-2759	47	28	1	1	NUM
ejpam-2759	47	29	≤	≤	NUM
ejpam-2759	48	1	i	i	NOUN
ejpam-2759	48	2	≤	≤	NUM
ejpam-2759	48	3	ns	ns	PROPN
ejpam-2759	49	1	∂ωi	∂ωi	PROPN
ejpam-2759	49	2	∂t	∂t	PROPN
ejpam-2759	50	1	−	−	PROPN
ejpam-2759	50	2	di∆ωi	di∆ωi	PROPN
ejpam-2759	50	3	−midiv(ωi∇φ	−midiv(ωi∇φ	PROPN
ejpam-2759	50	4	)	)	PUNCT
ejpam-2759	50	5	=	=	SYM
ejpam-2759	50	6	si(ω	si(ω	NOUN
ejpam-2759	50	7	,	,	PUNCT
ejpam-2759	50	8	φ	φ	NUM
ejpam-2759	50	9	)	)	PUNCT
ejpam-2759	50	10	on	on	ADP
ejpam-2759	50	11	qt	qt	NOUN
ejpam-2759	50	12	−ε∆φ	−ε∆φ	PROPN
ejpam-2759	50	13	=	=	SYM
ejpam-2759	50	14	f	f	PROPN
ejpam-2759	50	15	(	(	PUNCT
ejpam-2759	50	16	ω1	ω1	PROPN
ejpam-2759	50	17	,	,	PUNCT
ejpam-2759	50	18	..	..	PUNCT
ejpam-2759	50	19	,	,	PUNCT
ejpam-2759	50	20	ωns	ωns	PROPN
ejpam-2759	50	21	)	)	PUNCT
ejpam-2759	50	22	on	on	ADP
ejpam-2759	50	23	qt	qt	NOUN
ejpam-2759	50	24	−di	−di	PROPN
ejpam-2759	50	25	∂ωi	∂ωi	PROPN
ejpam-2759	50	26	∂υ	∂υ	PROPN
ejpam-2759	50	27	−miωi	−miωi	NOUN
ejpam-2759	50	28	∂φ	∂φ	PROPN
ejpam-2759	51	1	∂υ	∂υ	NOUN
ejpam-2759	52	1	=	=	PUNCT
ejpam-2759	52	2	0	0	NUM
ejpam-2759	52	3	in	in	ADP
ejpam-2759	52	4	σt	σt	ADP
ejpam-2759	52	5	φ(t	φ(t	PROPN
ejpam-2759	52	6	,	,	PUNCT
ejpam-2759	52	7	x	x	X
ejpam-2759	52	8	)	)	PUNCT
ejpam-2759	52	9	=	=	SYM
ejpam-2759	52	10	0	0	NUM
ejpam-2759	52	11	in	in	ADP
ejpam-2759	52	12	σt	σt	ADP
ejpam-2759	52	13	φ(0	φ(0	ADJ
ejpam-2759	52	14	,	,	PUNCT
ejpam-2759	52	15	x	x	NOUN
ejpam-2759	52	16	)	)	PUNCT
ejpam-2759	52	17	=	=	SYM
ejpam-2759	52	18	φ0(x	φ0(x	X
ejpam-2759	52	19	)	)	PUNCT
ejpam-2759	52	20	on	on	ADP
ejpam-2759	52	21	ω	ω	PROPN
ejpam-2759	52	22	ωi(0	ωi(0	PROPN
ejpam-2759	52	23	,	,	PUNCT
ejpam-2759	52	24	x	x	NOUN
ejpam-2759	52	25	)	)	PUNCT
ejpam-2759	52	26	=	=	SYM
ejpam-2759	52	27	ωi,0(x	ωi,0(x	NOUN
ejpam-2759	52	28	)	)	PUNCT
ejpam-2759	52	29	on	on	ADP
ejpam-2759	52	30	ω	ω	PROPN
ejpam-2759	52	31	(	(	PUNCT
ejpam-2759	52	32	1	1	NUM
ejpam-2759	52	33	)	)	PUNCT
ejpam-2759	52	34	where	where	SCONJ
ejpam-2759	52	35	ω	ω	PROPN
ejpam-2759	52	36	denotes	denote	VERB
ejpam-2759	52	37	an	an	DET
ejpam-2759	52	38	open	open	ADJ
ejpam-2759	52	39	and	and	CCONJ
ejpam-2759	52	40	bounded	bound	VERB
ejpam-2759	52	41	subset	subset	NOUN
ejpam-2759	52	42	of	of	ADP
ejpam-2759	52	43	rn	rn	PROPN
ejpam-2759	52	44	with	with	ADP
ejpam-2759	52	45	smooth	smooth	ADJ
ejpam-2759	52	46	boundary	boundary	ADJ
ejpam-2759	52	47	∂ω	∂ω	PROPN
ejpam-2759	52	48	.	.	PUNCT
ejpam-2759	53	1	for	for	ADP
ejpam-2759	53	2	each	each	DET
ejpam-2759	53	3	i	i	PRON
ejpam-2759	53	4	,	,	PUNCT
ejpam-2759	53	5	ωi	ωi	PROPN
ejpam-2759	53	6	is	be	AUX
ejpam-2759	53	7	the	the	DET
ejpam-2759	53	8	concentration	concentration	NOUN
ejpam-2759	53	9	of	of	ADP
ejpam-2759	53	10	the	the	DET
ejpam-2759	53	11	i	i	PROPN
ejpam-2759	53	12	species	specie	NOUN
ejpam-2759	53	13	which	which	PRON
ejpam-2759	53	14	has	have	VERB
ejpam-2759	53	15	diffusion	diffusion	NOUN
ejpam-2759	53	16	coefficients	coefficient	NOUN
ejpam-2759	53	17	di	di	X
ejpam-2759	53	18	which	which	PRON
ejpam-2759	53	19	are	be	AUX
ejpam-2759	53	20	nonnegative	nonnegative	ADJ
ejpam-2759	53	21	inside	inside	ADP
ejpam-2759	53	22	the	the	DET
ejpam-2759	53	23	channel	channel	NOUN
ejpam-2759	53	24	and	and	CCONJ
ejpam-2759	53	25	a	a	DET
ejpam-2759	53	26	valency	valency	NOUN
ejpam-2759	53	27	zi	zi	PROPN
ejpam-2759	53	28	.	.	PUNCT
ejpam-2759	54	1	φ	φ	PROPN
ejpam-2759	54	2	is	be	AUX
ejpam-2759	54	3	the	the	DET
ejpam-2759	54	4	electrical	electrical	ADJ
ejpam-2759	54	5	potential	potential	NOUN
ejpam-2759	54	6	which	which	PRON
ejpam-2759	54	7	describes	describe	VERB
ejpam-2759	54	8	the	the	DET
ejpam-2759	54	9	coulomb	coulomb	NOUN
ejpam-2759	54	10	interaction	interaction	NOUN
ejpam-2759	54	11	in	in	ADP
ejpam-2759	54	12	a	a	DET
ejpam-2759	54	13	mean	mean	ADJ
ejpam-2759	54	14	-	-	PUNCT
ejpam-2759	54	15	field	field	NOUN
ejpam-2759	54	16	approximation	approximation	NOUN
ejpam-2759	54	17	,	,	PUNCT
ejpam-2759	54	18	mi	mi	PROPN
ejpam-2759	54	19	is	be	AUX
ejpam-2759	54	20	the	the	DET
ejpam-2759	54	21	electric	electric	ADJ
ejpam-2759	54	22	mobility	mobility	NOUN
ejpam-2759	54	23	that	that	PRON
ejpam-2759	54	24	depends	depend	VERB
ejpam-2759	54	25	on	on	ADP
ejpam-2759	54	26	the	the	DET
ejpam-2759	54	27	the	the	DET
ejpam-2759	54	28	universal	universal	ADJ
ejpam-2759	54	29	gas	gas	NOUN
ejpam-2759	54	30	constant	constant	ADJ
ejpam-2759	54	31	,	,	PUNCT
ejpam-2759	54	32	the	the	DET
ejpam-2759	54	33	charge	charge	NOUN
ejpam-2759	54	34	carried	carry	VERB
ejpam-2759	54	35	by	by	ADP
ejpam-2759	54	36	a	a	DET
ejpam-2759	54	37	mole	mole	NOUN
ejpam-2759	54	38	of	of	ADP
ejpam-2759	54	39	each	each	DET
ejpam-2759	54	40	species	specie	NOUN
ejpam-2759	54	41	,	,	PUNCT
ejpam-2759	54	42	the	the	DET
ejpam-2759	54	43	diffusion	diffusion	NOUN
ejpam-2759	54	44	coefficient	coefficient	NOUN
ejpam-2759	54	45	and	and	CCONJ
ejpam-2759	54	46	also	also	ADV
ejpam-2759	54	47	on	on	ADP
ejpam-2759	54	48	the	the	DET
ejpam-2759	54	49	local	local	ADJ
ejpam-2759	54	50	temperature	temperature	NOUN
ejpam-2759	54	51	.	.	PUNCT
ejpam-2759	55	1	the	the	DET
ejpam-2759	55	2	normal	normal	ADJ
ejpam-2759	55	3	exterior	exterior	ADJ
ejpam-2759	55	4	derivative	derivative	NOUN
ejpam-2759	55	5	on	on	ADP
ejpam-2759	55	6	∂ω	∂ω	PROPN
ejpam-2759	55	7	is	be	AUX
ejpam-2759	55	8	denoted	denote	VERB
ejpam-2759	55	9	by	by	ADP
ejpam-2759	55	10	∂υ	∂υ	PROPN
ejpam-2759	55	11	and	and	CCONJ
ejpam-2759	55	12	∆	∆	PROPN
ejpam-2759	55	13	denotes	denote	VERB
ejpam-2759	55	14	the	the	DET
ejpam-2759	55	15	laplacian	laplacian	ADJ
ejpam-2759	55	16	operator	operator	NOUN
ejpam-2759	55	17	on	on	ADP
ejpam-2759	55	18	ω	ω	PROPN
ejpam-2759	55	19	.	.	PUNCT
ejpam-2759	56	1	also	also	ADV
ejpam-2759	56	2	,	,	PUNCT
ejpam-2759	56	3	we	we	PRON
ejpam-2759	56	4	have	have	VERB
ejpam-2759	56	5	qt	qt	NOUN
ejpam-2759	56	6	=]	=]	NOUN
ejpam-2759	56	7	0	0	PROPN
ejpam-2759	56	8	,	,	PUNCT
ejpam-2759	56	9	t	t	X
ejpam-2759	57	1	[	[	X
ejpam-2759	57	2	×ω	×ω	X
ejpam-2759	57	3	and	and	CCONJ
ejpam-2759	57	4	σt	σt	ADP
ejpam-2759	57	5	=]	=]	NOUN
ejpam-2759	57	6	0	0	PROPN
ejpam-2759	57	7	,	,	PUNCT
ejpam-2759	57	8	t	t	X
ejpam-2759	58	1	[	[	X
ejpam-2759	58	2	×∂ω	×∂ω	NOUN
ejpam-2759	58	3	with	with	ADP
ejpam-2759	58	4	t	t	PROPN
ejpam-2759	58	5	is	be	AUX
ejpam-2759	58	6	a	a	DET
ejpam-2759	58	7	nonnegative	nonnegative	ADJ
ejpam-2759	58	8	constant	constant	ADJ
ejpam-2759	58	9	.	.	PUNCT
ejpam-2759	59	1	we	we	PRON
ejpam-2759	59	2	set	set	VERB
ejpam-2759	59	3	f	f	PROPN
ejpam-2759	59	4	(	(	PUNCT
ejpam-2759	59	5	ω	ω	NOUN
ejpam-2759	59	6	)	)	PUNCT
ejpam-2759	59	7	=	=	PUNCT
ejpam-2759	60	1	ns∑	ns∑	VERB
ejpam-2759	60	2	i=1	i=1	PROPN
ejpam-2759	60	3	ziωi	ziωi	NOUN
ejpam-2759	60	4	1	1	NUM
ejpam-2759	60	5	+	+	CCONJ
ejpam-2759	60	6	ε	ε	AUX
ejpam-2759	60	7	ns∑	ns∑	VERB
ejpam-2759	60	8	i=1	i=1	PRON
ejpam-2759	60	9	ωi	ωi	PUNCT
ejpam-2759	61	1	−	−	PROPN
ejpam-2759	61	2	f	f	PROPN
ejpam-2759	61	3	where	where	SCONJ
ejpam-2759	61	4	ω	ω	X
ejpam-2759	61	5	=	=	SYM
ejpam-2759	61	6	(	(	PUNCT
ejpam-2759	61	7	ω1	ω1	PROPN
ejpam-2759	61	8	,	,	PUNCT
ejpam-2759	61	9	..	..	PUNCT
ejpam-2759	61	10	,	,	PUNCT
ejpam-2759	61	11	ωns	ωns	PROPN
ejpam-2759	61	12	)	)	PUNCT
ejpam-2759	61	13	,	,	PUNCT
ejpam-2759	61	14	f	f	PROPN
ejpam-2759	61	15	is	be	AUX
ejpam-2759	61	16	the	the	DET
ejpam-2759	61	17	fixed	fix	VERB
ejpam-2759	61	18	charges	charge	NOUN
ejpam-2759	61	19	concentration	concentration	NOUN
ejpam-2759	61	20	and	and	CCONJ
ejpam-2759	61	21	the	the	DET
ejpam-2759	61	22	dimensionless	dimensionless	NOUN
ejpam-2759	61	23	parameter	parameter	NOUN
ejpam-2759	61	24	ε	ε	PROPN
ejpam-2759	61	25	is	be	AUX
ejpam-2759	61	26	given	give	VERB
ejpam-2759	61	27	by	by	ADP
ejpam-2759	61	28	√	√	PROPN
ejpam-2759	61	29	ε	ε	PROPN
ejpam-2759	61	30	=	=	SYM
ejpam-2759	61	31	λd	λd	PROPN
ejpam-2759	61	32	l	l	NOUN
ejpam-2759	61	33	,	,	PUNCT
ejpam-2759	61	34	the	the	DET
ejpam-2759	61	35	l	l	NOUN
ejpam-2759	61	36	denotes	denote	VERB
ejpam-2759	61	37	the	the	DET
ejpam-2759	61	38	reference	reference	NOUN
ejpam-2759	61	39	length	length	NOUN
ejpam-2759	61	40	scale	scale	NOUN
ejpam-2759	61	41	and	and	CCONJ
ejpam-2759	61	42	λd	λd	NOUN
ejpam-2759	61	43	is	be	AUX
ejpam-2759	61	44	the	the	DET
ejpam-2759	61	45	debye	debye	ADJ
ejpam-2759	61	46	screening	screening	NOUN
ejpam-2759	61	47	length	length	NOUN
ejpam-2759	61	48	of	of	ADP
ejpam-2759	61	49	the	the	DET
ejpam-2759	61	50	reference	reference	NOUN
ejpam-2759	61	51	solution	solution	NOUN
ejpam-2759	61	52	defined	define	VERB
ejpam-2759	61	53	by	by	ADP
ejpam-2759	61	54	the	the	DET
ejpam-2759	61	55	following	following	NOUN
ejpam-2759	61	56	[	[	X
ejpam-2759	61	57	18	18	NUM
ejpam-2759	61	58	]	]	SYM
ejpam-2759	61	59	λd	λd	NOUN
ejpam-2759	61	60	=	=	PUNCT
ejpam-2759	61	61	(	(	PUNCT
ejpam-2759	61	62	εskt	εskt	NOUN
ejpam-2759	61	63	2e2ω	2e2ω	NUM
ejpam-2759	61	64	)	)	PUNCT
ejpam-2759	62	1	1	1	NUM
ejpam-2759	62	2	2	2	NUM
ejpam-2759	62	3	where	where	SCONJ
ejpam-2759	62	4	εs	εs	ADV
ejpam-2759	62	5	is	be	AUX
ejpam-2759	62	6	the	the	DET
ejpam-2759	62	7	dielectric	dielectric	ADJ
ejpam-2759	62	8	permittivity	permittivity	NOUN
ejpam-2759	62	9	of	of	ADP
ejpam-2759	62	10	the	the	DET
ejpam-2759	62	11	solution	solution	NOUN
ejpam-2759	62	12	(	(	PUNCT
ejpam-2759	62	13	roughly	roughly	ADV
ejpam-2759	62	14	equal	equal	ADJ
ejpam-2759	62	15	to	to	ADP
ejpam-2759	62	16	that	that	PRON
ejpam-2759	62	17	of	of	ADP
ejpam-2759	62	18	the	the	DET
ejpam-2759	62	19	solvent	solvent	NOUN
ejpam-2759	62	20	)	)	PUNCT
ejpam-2759	62	21	and	and	CCONJ
ejpam-2759	62	22	assume	assume	VERB
ejpam-2759	62	23	to	to	PART
ejpam-2759	62	24	be	be	AUX
ejpam-2759	62	25	constant	constant	ADJ
ejpam-2759	63	1	,	,	PUNCT
ejpam-2759	63	2	k	k	PROPN
ejpam-2759	63	3	denotes	denote	VERB
ejpam-2759	63	4	the	the	DET
ejpam-2759	63	5	boltzmann	boltzmann	PROPN
ejpam-2759	63	6	constant	constant	PROPN
ejpam-2759	63	7	,	,	PUNCT
ejpam-2759	63	8	t	t	PROPN
ejpam-2759	63	9	the	the	DET
ejpam-2759	63	10	absolute	absolute	ADJ
ejpam-2759	63	11	temperature	temperature	NOUN
ejpam-2759	63	12	,	,	PUNCT
ejpam-2759	63	13	e	e	PROPN
ejpam-2759	63	14	the	the	DET
ejpam-2759	63	15	elementary	elementary	ADJ
ejpam-2759	63	16	charge	charge	NOUN
ejpam-2759	63	17	and	and	CCONJ
ejpam-2759	63	18	ω	ω	PROPN
ejpam-2759	63	19	is	be	AUX
ejpam-2759	63	20	a	a	DET
ejpam-2759	63	21	reference	reference	NOUN
ejpam-2759	63	22	concentration	concentration	NOUN
ejpam-2759	63	23	of	of	ADP
ejpam-2759	63	24	ions	ion	NOUN
ejpam-2759	63	25	.	.	PUNCT
ejpam-2759	64	1	in	in	ADP
ejpam-2759	64	2	order	order	NOUN
ejpam-2759	64	3	to	to	PART
ejpam-2759	64	4	describe	describe	VERB
ejpam-2759	64	5	our	our	PRON
ejpam-2759	64	6	result	result	NOUN
ejpam-2759	64	7	and	and	CCONJ
ejpam-2759	64	8	to	to	ADP
ejpam-2759	64	9	more	more	ADJ
ejpam-2759	64	10	illustre	illustre	NOUN
ejpam-2759	64	11	it	it	PRON
ejpam-2759	64	12	,	,	PUNCT
ejpam-2759	64	13	we	we	PRON
ejpam-2759	64	14	have	have	VERB
ejpam-2759	64	15	the	the	DET
ejpam-2759	64	16	following	follow	VERB
ejpam-2759	64	17	example	example	NOUN
ejpam-2759	64	18	.	.	PUNCT
ejpam-2759	65	1	we	we	PRON
ejpam-2759	65	2	are	be	AUX
ejpam-2759	65	3	interested	interested	ADJ
ejpam-2759	65	4	in	in	ADP
ejpam-2759	65	5	the	the	DET
ejpam-2759	65	6	suicide	suicide	NOUN
ejpam-2759	65	7	substrate	substrate	NOUN
ejpam-2759	65	8	system	system	NOUN
ejpam-2759	65	9	,	,	PUNCT
ejpam-2759	65	10	represented	represent	VERB
ejpam-2759	65	11	by	by	ADP
ejpam-2759	65	12	walsh	walsh	PROPN
ejpam-2759	65	13	and	and	CCONJ
ejpam-2759	65	14	al	al	PROPN
ejpam-2759	65	15	.	.	PUNCT
ejpam-2759	66	1	[	[	X
ejpam-2759	66	2	19	19	NUM
ejpam-2759	66	3	]	]	X
ejpam-2759	66	4	e	e	X
ejpam-2759	66	5	+	+	SYM
ejpam-2759	66	6	s	s	PART
ejpam-2759	66	7	k1	k1	NOUN
ejpam-2759	66	8	k−1	k−1	PROPN
ejpam-2759	66	9	x	x	X
ejpam-2759	66	10	→k2	→k2	VERB
ejpam-2759	66	11	y	y	PROPN
ejpam-2759	66	12	→k3	→k3	X
ejpam-2759	66	13	e	e	NOUN
ejpam-2759	67	1	+	+	CCONJ
ejpam-2759	67	2	p	p	X
ejpam-2759	67	3	,	,	PUNCT
ejpam-2759	67	4	y	y	PROPN
ejpam-2759	67	5	→k4	→k4	X
ejpam-2759	67	6	ei	ei	X
ejpam-2759	67	7	where	where	SCONJ
ejpam-2759	67	8	e	e	NOUN
ejpam-2759	67	9	,	,	PUNCT
ejpam-2759	67	10	s	s	X
ejpam-2759	67	11	and	and	CCONJ
ejpam-2759	67	12	p	p	NOUN
ejpam-2759	67	13	stand	stand	NOUN
ejpam-2759	67	14	for	for	ADP
ejpam-2759	67	15	enzyme	enzyme	NOUN
ejpam-2759	67	16	,	,	PUNCT
ejpam-2759	67	17	substrate	substrate	NOUN
ejpam-2759	67	18	,	,	PUNCT
ejpam-2759	67	19	and	and	CCONJ
ejpam-2759	67	20	product	product	NOUN
ejpam-2759	67	21	,	,	PUNCT
ejpam-2759	67	22	respectively	respectively	ADV
ejpam-2759	67	23	;	;	PUNCT
ejpam-2759	67	24	x	x	SYM
ejpam-2759	67	25	and	and	CCONJ
ejpam-2759	67	26	y	y	PROPN
ejpam-2759	67	27	,	,	PUNCT
ejpam-2759	67	28	enzymesubstrate	enzymesubstrate	VERB
ejpam-2759	67	29	intermediates	intermediate	NOUN
ejpam-2759	67	30	;	;	PUNCT
ejpam-2759	67	31	ei	ei	NOUN
ejpam-2759	67	32	,	,	PUNCT
ejpam-2759	67	33	inactivated	inactivated	ADJ
ejpam-2759	67	34	enzyme	enzyme	NOUN
ejpam-2759	67	35	;	;	PUNCT
ejpam-2759	67	36	and	and	CCONJ
ejpam-2759	67	37	the	the	DET
ejpam-2759	67	38	ks	ks	NOUN
ejpam-2759	67	39	are	be	AUX
ejpam-2759	67	40	positive	positive	ADJ
ejpam-2759	67	41	rate	rate	NOUN
ejpam-2759	67	42	constants	constant	NOUN
ejpam-2759	67	43	.	.	PUNCT
ejpam-2759	68	1	n.	n.	PROPN
ejpam-2759	68	2	alaa	alaa	PROPN
ejpam-2759	68	3	,	,	PUNCT
ejpam-2759	68	4	f.	f.	PROPN
ejpam-2759	68	5	aqel	aqel	PROPN
ejpam-2759	68	6	/	/	SYM
ejpam-2759	68	7	eur	eur	PROPN
ejpam-2759	68	8	.	.	PUNCT
ejpam-2759	69	1	j.	j.	PROPN
ejpam-2759	69	2	pure	pure	PROPN
ejpam-2759	69	3	appl	appl	PROPN
ejpam-2759	69	4	.	.	PROPN
ejpam-2759	69	5	math	math	PROPN
ejpam-2759	69	6	,	,	PUNCT
ejpam-2759	69	7	10	10	NUM
ejpam-2759	69	8	(	(	PUNCT
ejpam-2759	69	9	2	2	NUM
ejpam-2759	69	10	)	)	PUNCT
ejpam-2759	69	11	(	(	PUNCT
ejpam-2759	69	12	2017	2017	NUM
ejpam-2759	69	13	)	)	PUNCT
ejpam-2759	69	14	,	,	PUNCT
ejpam-2759	69	15	272	272	NUM
ejpam-2759	69	16	-	-	SYM
ejpam-2759	69	17	294	294	NUM
ejpam-2759	69	18	275	275	NUM
ejpam-2759	69	19	we	we	PRON
ejpam-2759	69	20	denote	denote	VERB
ejpam-2759	69	21	the	the	DET
ejpam-2759	69	22	concentrations	concentration	NOUN
ejpam-2759	69	23	of	of	ADP
ejpam-2759	69	24	the	the	DET
ejpam-2759	69	25	reactants	reactant	NOUN
ejpam-2759	69	26	by	by	ADP
ejpam-2759	69	27	ω1	ω1	PROPN
ejpam-2759	69	28	=	=	PUNCT
ejpam-2759	70	1	[	[	X
ejpam-2759	70	2	e	e	X
ejpam-2759	70	3	]	]	X
ejpam-2759	70	4	,	,	PUNCT
ejpam-2759	70	5	ω2	ω2	NOUN
ejpam-2759	70	6	=	=	PUNCT
ejpam-2759	71	1	[	[	X
ejpam-2759	71	2	s	s	X
ejpam-2759	71	3	]	]	X
ejpam-2759	71	4	,	,	PUNCT
ejpam-2759	71	5	ω3	ω3	NOUN
ejpam-2759	71	6	=	=	PUNCT
ejpam-2759	72	1	[	[	X
ejpam-2759	72	2	x	x	X
ejpam-2759	72	3	]	]	X
ejpam-2759	72	4	,	,	PUNCT
ejpam-2759	72	5	ω4	ω4	X
ejpam-2759	72	6	=	=	PUNCT
ejpam-2759	73	1	[	[	X
ejpam-2759	73	2	y	y	X
ejpam-2759	73	3	]	]	PUNCT
ejpam-2759	73	4	,	,	PUNCT
ejpam-2759	73	5	ω5	ω5	PROPN
ejpam-2759	73	6	=	=	PUNCT
ejpam-2759	74	1	[	[	X
ejpam-2759	74	2	ei	ei	X
ejpam-2759	74	3	]	]	X
ejpam-2759	74	4	,	,	PUNCT
ejpam-2759	74	5	ω6	ω6	PROPN
ejpam-2759	74	6	=	=	PUNCT
ejpam-2759	75	1	[	[	X
ejpam-2759	75	2	p	p	X
ejpam-2759	75	3	]	]	X
ejpam-2759	75	4	.	.	PUNCT
ejpam-2759	76	1	then	then	ADV
ejpam-2759	76	2	,	,	PUNCT
ejpam-2759	76	3	the	the	DET
ejpam-2759	76	4	basic	basic	ADJ
ejpam-2759	76	5	suicide	suicide	NOUN
ejpam-2759	76	6	substrate	substrate	NOUN
ejpam-2759	76	7	reaction	reaction	NOUN
ejpam-2759	76	8	model	model	NOUN
ejpam-2759	76	9	becomes	becomes	PROPN
ejpam-2759	76	10	∂ω1	∂ω1	PROPN
ejpam-2759	76	11	∂t	∂t	PROPN
ejpam-2759	76	12	−	−	PROPN
ejpam-2759	76	13	d1∆ω1	d1∆ω1	PROPN
ejpam-2759	76	14	−m1div(ω1∇φ	−m1div(ω1∇φ	PROPN
ejpam-2759	76	15	)	)	PUNCT
ejpam-2759	77	1	=	=	PUNCT
ejpam-2759	77	2	−k1ω1ω2	−k1ω1ω2	DET
ejpam-2759	77	3	+	+	CCONJ
ejpam-2759	77	4	k−1ω3	k−1ω3	NOUN
ejpam-2759	77	5	+	+	CCONJ
ejpam-2759	77	6	k3ω4	k3ω4	X
ejpam-2759	77	7	on	on	ADP
ejpam-2759	77	8	qt	qt	ADP
ejpam-2759	77	9	∂ω2	∂ω2	PROPN
ejpam-2759	77	10	∂t	∂t	PROPN
ejpam-2759	77	11	−	−	PROPN
ejpam-2759	77	12	d2∆ω2	d2∆ω2	PROPN
ejpam-2759	77	13	−m2div(ω2∇φ	−m2div(ω2∇φ	PROPN
ejpam-2759	77	14	)	)	PUNCT
ejpam-2759	77	15	=	=	SYM
ejpam-2759	78	1	−k1ω1ω2	−k1ω1ω2	PRON
ejpam-2759	78	2	+	+	CCONJ
ejpam-2759	78	3	k−1ω3	k−1ω3	NOUN
ejpam-2759	78	4	on	on	ADP
ejpam-2759	78	5	qt	qt	PROPN
ejpam-2759	78	6	∂ω3	∂ω3	PROPN
ejpam-2759	78	7	∂t	∂t	PROPN
ejpam-2759	78	8	−	−	PROPN
ejpam-2759	78	9	d3∆ω3	d3∆ω3	PROPN
ejpam-2759	78	10	−m3div(ω3∇φ	−m3div(ω3∇φ	PROPN
ejpam-2759	78	11	)	)	PUNCT
ejpam-2759	78	12	=	=	SYM
ejpam-2759	79	1	k1ω1ω2	k1ω1ω2	PROPN
ejpam-2759	79	2	−	−	PROPN
ejpam-2759	79	3	(	(	PUNCT
ejpam-2759	79	4	k−1	k−1	PROPN
ejpam-2759	79	5	+	+	CCONJ
ejpam-2759	79	6	k2)ω3	k2)ω3	NOUN
ejpam-2759	79	7	on	on	ADP
ejpam-2759	79	8	qt	qt	NOUN
ejpam-2759	79	9	∂ω4	∂ω4	ADP
ejpam-2759	79	10	∂t	∂t	PROPN
ejpam-2759	79	11	−	−	PROPN
ejpam-2759	79	12	d4∆ω4	d4∆ω4	PROPN
ejpam-2759	79	13	−m4div(ω4∇φ	−m4div(ω4∇φ	NUM
ejpam-2759	79	14	)	)	PUNCT
ejpam-2759	79	15	=	=	PUNCT
ejpam-2759	80	1	k2ω3	k2ω3	AUX
ejpam-2759	80	2	−	−	PROPN
ejpam-2759	80	3	(	(	PUNCT
ejpam-2759	80	4	k3	k3	VERB
ejpam-2759	80	5	+	+	CCONJ
ejpam-2759	80	6	k4)ω4	k4)ω4	NOUN
ejpam-2759	80	7	on	on	ADP
ejpam-2759	80	8	qt	qt	X
ejpam-2759	80	9	∂ω5	∂ω5	PROPN
ejpam-2759	80	10	∂t	∂t	PROPN
ejpam-2759	80	11	−	−	PROPN
ejpam-2759	80	12	d5∆ω5	d5∆ω5	NOUN
ejpam-2759	80	13	−m5div(ω5∇φ	−m5div(ω5∇φ	PROPN
ejpam-2759	80	14	)	)	PUNCT
ejpam-2759	81	1	=	=	PUNCT
ejpam-2759	82	1	k4ω4	k4ω4	AUX
ejpam-2759	82	2	on	on	ADP
ejpam-2759	82	3	qt	qt	X
ejpam-2759	82	4	∂ω6	∂ω6	VERB
ejpam-2759	82	5	∂t	∂t	PROPN
ejpam-2759	82	6	−	−	PROPN
ejpam-2759	82	7	d6∆ω6	d6∆ω6	PROPN
ejpam-2759	82	8	−m6div(ω6∇φ	−m6div(ω6∇φ	PROPN
ejpam-2759	82	9	)	)	PUNCT
ejpam-2759	82	10	=	=	PUNCT
ejpam-2759	83	1	k3ω4	k3ω4	X
ejpam-2759	83	2	on	on	ADP
ejpam-2759	83	3	qt	qt	ADP
ejpam-2759	83	4	−di	−di	PROPN
ejpam-2759	83	5	∂ωi	∂ωi	PROPN
ejpam-2759	83	6	∂υ	∂υ	PROPN
ejpam-2759	83	7	−miωi	−miωi	NOUN
ejpam-2759	83	8	∂φ	∂φ	PROPN
ejpam-2759	83	9	∂υ	∂υ	NOUN
ejpam-2759	83	10	=	=	PUNCT
ejpam-2759	83	11	0	0	NUM
ejpam-2759	83	12	in	in	ADP
ejpam-2759	83	13	σt	σt	NOUN
ejpam-2759	83	14	for	for	ADP
ejpam-2759	83	15	all	all	DET
ejpam-2759	83	16	1	1	NUM
ejpam-2759	83	17	≤	≤	NUM
ejpam-2759	83	18	i	i	PRON
ejpam-2759	83	19	≤	≤	ADV
ejpam-2759	83	20	6	6	NUM
ejpam-2759	83	21	−ε∆φ	−ε∆φ	VERB
ejpam-2759	83	22	=	=	PUNCT
ejpam-2759	83	23	ns∑	ns∑	NOUN
ejpam-2759	83	24	i=1	i=1	PROPN
ejpam-2759	83	25	ziωi	ziωi	NOUN
ejpam-2759	83	26	1	1	NUM
ejpam-2759	83	27	+	+	CCONJ
ejpam-2759	83	28	ε	ε	AUX
ejpam-2759	83	29	ns∑	ns∑	VERB
ejpam-2759	83	30	i=1	i=1	PRON
ejpam-2759	83	31	ωi	ωi	PUNCT
ejpam-2759	84	1	−	−	PROPN
ejpam-2759	84	2	f	f	PROPN
ejpam-2759	84	3	on	on	ADP
ejpam-2759	84	4	qt	qt	PROPN
ejpam-2759	84	5	φ(t	φ(t	PROPN
ejpam-2759	84	6	,	,	PUNCT
ejpam-2759	84	7	x	x	X
ejpam-2759	84	8	)	)	PUNCT
ejpam-2759	84	9	=	=	SYM
ejpam-2759	84	10	0	0	NUM
ejpam-2759	85	1	in	in	ADP
ejpam-2759	85	2	σt	σt	ADP
ejpam-2759	85	3	φ(0	φ(0	ADJ
ejpam-2759	85	4	,	,	PUNCT
ejpam-2759	85	5	x	x	NOUN
ejpam-2759	85	6	)	)	PUNCT
ejpam-2759	85	7	=	=	SYM
ejpam-2759	85	8	φ0(x	φ0(x	X
ejpam-2759	85	9	)	)	PUNCT
ejpam-2759	85	10	on	on	ADP
ejpam-2759	85	11	ω	ω	PROPN
ejpam-2759	85	12	ωi(0	ωi(0	PROPN
ejpam-2759	85	13	,	,	PUNCT
ejpam-2759	85	14	x	x	NOUN
ejpam-2759	85	15	)	)	PUNCT
ejpam-2759	85	16	=	=	SYM
ejpam-2759	85	17	ωi,0(x	ωi,0(x	NOUN
ejpam-2759	85	18	)	)	PUNCT
ejpam-2759	85	19	on	on	ADP
ejpam-2759	85	20	ω	ω	NUM
ejpam-2759	85	21	for	for	ADP
ejpam-2759	85	22	all	all	DET
ejpam-2759	85	23	1	1	NUM
ejpam-2759	85	24	≤	≤	NUM
ejpam-2759	85	25	i	i	PRON
ejpam-2759	85	26	≤	≤	NUM
ejpam-2759	85	27	6	6	NUM
ejpam-2759	85	28	2	2	NUM
ejpam-2759	85	29	.	.	PUNCT
ejpam-2759	86	1	the	the	DET
ejpam-2759	86	2	main	main	ADJ
ejpam-2759	86	3	result	result	NOUN
ejpam-2759	86	4	2.1	2.1	NUM
ejpam-2759	86	5	.	.	PUNCT
ejpam-2759	86	6	assumptions	assumption	NOUN
ejpam-2759	86	7	at	at	ADP
ejpam-2759	86	8	first	first	ADV
ejpam-2759	86	9	,	,	PUNCT
ejpam-2759	86	10	we	we	PRON
ejpam-2759	86	11	introduce	introduce	VERB
ejpam-2759	86	12	the	the	DET
ejpam-2759	86	13	notion	notion	NOUN
ejpam-2759	86	14	of	of	ADP
ejpam-2759	86	15	weak	weak	ADJ
ejpam-2759	86	16	solution	solution	NOUN
ejpam-2759	86	17	of	of	ADP
ejpam-2759	86	18	the	the	DET
ejpam-2759	86	19	problem	problem	NOUN
ejpam-2759	86	20	(	(	PUNCT
ejpam-2759	86	21	1	1	NUM
ejpam-2759	86	22	)	)	PUNCT
ejpam-2759	86	23	,	,	PUNCT
ejpam-2759	86	24	so	so	ADV
ejpam-2759	86	25	let	let	VERB
ejpam-2759	86	26	us	we	PRON
ejpam-2759	86	27	begin	begin	VERB
ejpam-2759	86	28	by	by	ADP
ejpam-2759	86	29	giving	give	VERB
ejpam-2759	86	30	some	some	DET
ejpam-2759	86	31	hypothesis	hypothesis	NOUN
ejpam-2759	86	32	on	on	ADP
ejpam-2759	86	33	the	the	DET
ejpam-2759	86	34	nonlinearities	nonlinearitie	NOUN
ejpam-2759	86	35	and	and	CCONJ
ejpam-2759	86	36	also	also	ADV
ejpam-2759	86	37	the	the	DET
ejpam-2759	86	38	initial	initial	ADJ
ejpam-2759	86	39	data	datum	NOUN
ejpam-2759	86	40	.	.	PUNCT
ejpam-2759	87	1	these	these	DET
ejpam-2759	87	2	two	two	NUM
ejpam-2759	87	3	main	main	ADJ
ejpam-2759	87	4	properties	property	NOUN
ejpam-2759	87	5	are	be	AUX
ejpam-2759	87	6	ensured	ensure	VERB
ejpam-2759	87	7	by	by	ADP
ejpam-2759	87	8	the	the	DET
ejpam-2759	87	9	following	follow	VERB
ejpam-2759	87	10	assumptions	assumption	NOUN
ejpam-2759	87	11	.	.	PUNCT
ejpam-2759	88	1	for	for	ADP
ejpam-2759	88	2	all	all	PRON
ejpam-2759	88	3	i	i	PRON
ejpam-2759	88	4	∈	∈	PROPN
ejpam-2759	88	5	{	{	PUNCT
ejpam-2759	88	6	1	1	NUM
ejpam-2759	88	7	,	,	PUNCT
ejpam-2759	88	8	...	...	PUNCT
ejpam-2759	88	9	,	,	PUNCT
ejpam-2759	88	10	ns	ns	CCONJ
ejpam-2759	88	11	}	}	PUNCT
ejpam-2759	88	12	and	and	CCONJ
ejpam-2759	88	13	∀r	∀r	NOUN
ejpam-2759	88	14	∈	∈	NOUN
ejpam-2759	88	15	[	[	X
ejpam-2759	88	16	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	88	17	,	,	PUNCT
ejpam-2759	88	18	the	the	DET
ejpam-2759	88	19	nonnegativity	nonnegativity	NOUN
ejpam-2759	88	20	of	of	ADP
ejpam-2759	88	21	solutions	solution	NOUN
ejpam-2759	88	22	is	be	AUX
ejpam-2759	88	23	preserved	preserve	VERB
ejpam-2759	88	24	if	if	SCONJ
ejpam-2759	88	25	and	and	CCONJ
ejpam-2759	88	26	only	only	ADV
ejpam-2759	88	27	if	if	SCONJ
ejpam-2759	88	28	the	the	DET
ejpam-2759	88	29	quasi	quasi	ADJ
ejpam-2759	88	30	-	-	ADJ
ejpam-2759	88	31	positive	positive	ADJ
ejpam-2759	88	32	condition	condition	NOUN
ejpam-2759	88	33	is	be	AUX
ejpam-2759	88	34	verified	verify	VERB
ejpam-2759	88	35	(	(	PUNCT
ejpam-2759	88	36	h1	h1	NOUN
ejpam-2759	88	37	)	)	PUNCT
ejpam-2759	88	38	si(r1	si(r1	PROPN
ejpam-2759	88	39	,	,	PUNCT
ejpam-2759	88	40	r2	r2	PROPN
ejpam-2759	88	41	,	,	PUNCT
ejpam-2759	88	42	...	...	PUNCT
ejpam-2759	88	43	,	,	PUNCT
ejpam-2759	88	44	ri−1	ri−1	PROPN
ejpam-2759	88	45	,	,	PUNCT
ejpam-2759	88	46	0	0	NUM
ejpam-2759	88	47	,	,	PUNCT
ejpam-2759	88	48	ri+1	ri+1	NOUN
ejpam-2759	88	49	,	,	PUNCT
ejpam-2759	88	50	...	...	PUNCT
ejpam-2759	88	51	,	,	PUNCT
ejpam-2759	88	52	rns	rns	PROPN
ejpam-2759	88	53	)	)	PUNCT
ejpam-2759	88	54	≥	≥	NOUN
ejpam-2759	88	55	0	0	NUM
ejpam-2759	88	56	,	,	PUNCT
ejpam-2759	88	57	for	for	ADP
ejpam-2759	88	58	all	all	DET
ejpam-2759	88	59	r	r	NOUN
ejpam-2759	88	60	=	=	SYM
ejpam-2759	88	61	(	(	PUNCT
ejpam-2759	88	62	r1	r1	PROPN
ejpam-2759	88	63	,	,	PUNCT
ejpam-2759	88	64	r2	r2	PROPN
ejpam-2759	88	65	,	,	PUNCT
ejpam-2759	88	66	...	...	PUNCT
ejpam-2759	88	67	,	,	PUNCT
ejpam-2759	88	68	rns	rns	PROPN
ejpam-2759	88	69	)	)	PUNCT
ejpam-2759	88	70	∈	∈	PROPN
ejpam-2759	89	1	[	[	X
ejpam-2759	89	2	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	89	3	furthermore	furthermore	ADV
ejpam-2759	89	4	,	,	PUNCT
ejpam-2759	89	5	we	we	PRON
ejpam-2759	89	6	restrict	restrict	VERB
ejpam-2759	89	7	ourselves	ourselves	PRON
ejpam-2759	89	8	to	to	ADP
ejpam-2759	89	9	the	the	DET
ejpam-2759	89	10	case	case	NOUN
ejpam-2759	89	11	of	of	ADP
ejpam-2759	89	12	nonnegative	nonnegative	ADJ
ejpam-2759	89	13	solutions	solution	NOUN
ejpam-2759	89	14	satisfying	satisfy	VERB
ejpam-2759	89	15	the	the	DET
ejpam-2759	89	16	triangular	triangular	NOUN
ejpam-2759	89	17	structure	structure	NOUN
ejpam-2759	89	18	,	,	PUNCT
ejpam-2759	89	19	which	which	PRON
ejpam-2759	89	20	means	mean	VERB
ejpam-2759	89	21	that	that	SCONJ
ejpam-2759	89	22	(	(	PUNCT
ejpam-2759	89	23	h2	h2	PROPN
ejpam-2759	89	24	)	)	PUNCT
ejpam-2759	89	25	:	:	PUNCT
ejpam-2759	89	26	{	{	PUNCT
ejpam-2759	89	27	∑	∑	PROPN
ejpam-2759	89	28	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	89	29	si(r	si(r	NOUN
ejpam-2759	89	30	)	)	PUNCT
ejpam-2759	89	31	≤	≤	PROPN
ejpam-2759	89	32	c(1	c(1	PROPN
ejpam-2759	89	33	+	+	CCONJ
ejpam-2759	89	34	∑	∑	PROPN
ejpam-2759	89	35	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	89	36	ri	ri	NOUN
ejpam-2759	89	37	)	)	PUNCT
ejpam-2759	89	38	∀r	∀r	NOUN
ejpam-2759	89	39	∈	∈	NOUN
ejpam-2759	90	1	[	[	X
ejpam-2759	90	2	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	91	1	where	where	SCONJ
ejpam-2759	91	2	c	c	PROPN
ejpam-2759	91	3	≥	≥	X
ejpam-2759	91	4	0	0	NUM
ejpam-2759	91	5	,	,	PUNCT
ejpam-2759	91	6	and	and	CCONJ
ejpam-2759	91	7	∀i	∀i	NOUN
ejpam-2759	91	8	=	=	SYM
ejpam-2759	91	9	1	1	NUM
ejpam-2759	91	10	,	,	PUNCT
ejpam-2759	91	11	...	...	PUNCT
ejpam-2759	91	12	,	,	PUNCT
ejpam-2759	91	13	ns	ns	INTJ
ejpam-2759	91	14	n.	n.	PROPN
ejpam-2759	91	15	alaa	alaa	PROPN
ejpam-2759	91	16	,	,	PUNCT
ejpam-2759	91	17	f.	f.	PROPN
ejpam-2759	91	18	aqel	aqel	PROPN
ejpam-2759	91	19	/	/	SYM
ejpam-2759	91	20	eur	eur	PROPN
ejpam-2759	91	21	.	.	PUNCT
ejpam-2759	92	1	j.	j.	PROPN
ejpam-2759	92	2	pure	pure	PROPN
ejpam-2759	92	3	appl	appl	PROPN
ejpam-2759	92	4	.	.	PROPN
ejpam-2759	92	5	math	math	PROPN
ejpam-2759	92	6	,	,	PUNCT
ejpam-2759	92	7	10	10	NUM
ejpam-2759	92	8	(	(	PUNCT
ejpam-2759	92	9	2	2	NUM
ejpam-2759	92	10	)	)	PUNCT
ejpam-2759	92	11	(	(	PUNCT
ejpam-2759	92	12	2017	2017	NUM
ejpam-2759	92	13	)	)	PUNCT
ejpam-2759	92	14	,	,	PUNCT
ejpam-2759	92	15	272	272	NUM
ejpam-2759	92	16	-	-	SYM
ejpam-2759	92	17	294	294	NUM
ejpam-2759	92	18	276	276	NUM
ejpam-2759	92	19	since	since	SCONJ
ejpam-2759	92	20	we	we	PRON
ejpam-2759	92	21	allow	allow	VERB
ejpam-2759	92	22	the	the	DET
ejpam-2759	92	23	nonlinearities	nonlinearitie	NOUN
ejpam-2759	92	24	to	to	PART
ejpam-2759	92	25	depend	depend	VERB
ejpam-2759	92	26	on	on	ADP
ejpam-2759	92	27	(	(	PUNCT
ejpam-2759	92	28	t	t	PROPN
ejpam-2759	92	29	,	,	PUNCT
ejpam-2759	92	30	x	x	NOUN
ejpam-2759	92	31	)	)	PUNCT
ejpam-2759	92	32	,	,	PUNCT
ejpam-2759	92	33	let	let	VERB
ejpam-2759	92	34	us	we	PRON
ejpam-2759	92	35	assume	assume	VERB
ejpam-2759	92	36	that	that	SCONJ
ejpam-2759	92	37	for	for	ADP
ejpam-2759	92	38	all	all	DET
ejpam-2759	92	39	i	i	PRON
ejpam-2759	92	40	=	=	NOUN
ejpam-2759	92	41	1	1	NUM
ejpam-2759	92	42	,	,	PUNCT
ejpam-2759	92	43	...	...	PUNCT
ejpam-2759	92	44	,	,	PUNCT
ejpam-2759	92	45	ns	ns	INTJ
ejpam-2759	92	46	(	(	PUNCT
ejpam-2759	92	47	h3	h3	NOUN
ejpam-2759	92	48	)	)	PUNCT
ejpam-2759	92	49	:	:	PUNCT
ejpam-2759	92	50			PUNCT
ejpam-2759	92	51	si	si	NOUN
ejpam-2759	92	52	:	:	PUNCT
ejpam-2759	92	53	qt	qt	NOUN
ejpam-2759	92	54	×	×	NOUN
ejpam-2759	92	55	[	[	X
ejpam-2759	92	56	0,+∞)ns	0,+∞)ns	X
ejpam-2759	92	57	→	→	SYM
ejpam-2759	92	58	r	r	NOUN
ejpam-2759	92	59	is	be	AUX
ejpam-2759	92	60	measurable	measurable	ADJ
ejpam-2759	92	61	;	;	PUNCT
ejpam-2759	92	62	si	si	X
ejpam-2759	92	63	(	(	PUNCT
ejpam-2759	92	64	.	.	NUM
ejpam-2759	92	65	,	,	PUNCT
ejpam-2759	92	66	0	0	X
ejpam-2759	92	67	)	)	PUNCT
ejpam-2759	92	68	∈	∈	PROPN
ejpam-2759	92	69	l1(qt	l1(qt	PROPN
ejpam-2759	92	70	)	)	PUNCT
ejpam-2759	92	71	∃k	∃k	PROPN
ejpam-2759	92	72	:	:	PUNCT
ejpam-2759	92	73	qt	qt	NOUN
ejpam-2759	92	74	×	×	NOUN
ejpam-2759	93	1	[	[	X
ejpam-2759	93	2	0,+∞)→	0,+∞)→	NOUN
ejpam-2759	94	1	[	[	X
ejpam-2759	94	2	0,+∞	0,+∞	NUM
ejpam-2759	94	3	)	)	PUNCT
ejpam-2759	94	4	with	with	ADP
ejpam-2759	94	5	∀m	∀m	PROPN
ejpam-2759	94	6	>	>	X
ejpam-2759	94	7	0	0	NUM
ejpam-2759	94	8	,	,	PUNCT
ejpam-2759	94	9	k(.,m	k(.,m	PROPN
ejpam-2759	94	10	)	)	PUNCT
ejpam-2759	94	11	∈	∈	PROPN
ejpam-2759	94	12	l1(qt	l1(qt	PROPN
ejpam-2759	94	13	)	)	PUNCT
ejpam-2759	94	14	and	and	CCONJ
ejpam-2759	94	15	a.e	a.e	PROPN
ejpam-2759	94	16	(	(	PUNCT
ejpam-2759	94	17	t	t	PROPN
ejpam-2759	94	18	,	,	PUNCT
ejpam-2759	94	19	x	x	X
ejpam-2759	94	20	)	)	PUNCT
ejpam-2759	94	21	∈	∈	NOUN
ejpam-2759	94	22	qt	qt	NOUN
ejpam-2759	94	23	,	,	PUNCT
ejpam-2759	94	24	∀r	∀r	PROPN
ejpam-2759	94	25	,	,	PUNCT
ejpam-2759	94	26	r̂	r̂	NOUN
ejpam-2759	94	27	∈	∈	PROPN
ejpam-2759	95	1	[	[	X
ejpam-2759	95	2	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	95	3	with	with	ADP
ejpam-2759	95	4	|r|	|r|	PROPN
ejpam-2759	95	5	,	,	PUNCT
ejpam-2759	95	6	|r̂|	|r̂|	PROPN
ejpam-2759	95	7	≤m	≤m	NOUN
ejpam-2759	95	8	,	,	PUNCT
ejpam-2759	95	9	|si(t	|si(t	PROPN
ejpam-2759	95	10	,	,	PUNCT
ejpam-2759	95	11	x	x	PRON
ejpam-2759	95	12	,	,	PUNCT
ejpam-2759	95	13	r)−	r)−	PROPN
ejpam-2759	95	14	si(t	si(t	NOUN
ejpam-2759	95	15	,	,	PUNCT
ejpam-2759	95	16	x	x	PRON
ejpam-2759	95	17	,	,	PUNCT
ejpam-2759	95	18	r̂)|	r̂)|	X
ejpam-2759	95	19	≤	≤	NUM
ejpam-2759	96	1	k(t	k(t	ADJ
ejpam-2759	96	2	,	,	PUNCT
ejpam-2759	96	3	x	x	PRON
ejpam-2759	96	4	,	,	PUNCT
ejpam-2759	96	5	m)|r	m)|r	NOUN
ejpam-2759	96	6	−	−	PROPN
ejpam-2759	96	7	r̂|	r̂|	PROPN
ejpam-2759	96	8	.	.	PUNCT
ejpam-2759	97	1	then	then	ADV
ejpam-2759	97	2	,	,	PUNCT
ejpam-2759	97	3	we	we	PRON
ejpam-2759	97	4	make	make	VERB
ejpam-2759	97	5	the	the	DET
ejpam-2759	97	6	following	follow	VERB
ejpam-2759	97	7	assumptions	assumption	NOUN
ejpam-2759	97	8	ωi,0	ωi,0	PROPN
ejpam-2759	97	9	∈	∈	PROPN
ejpam-2759	97	10	l1(ω	l1(ω	PROPN
ejpam-2759	97	11	)	)	PUNCT
ejpam-2759	97	12	,	,	PUNCT
ejpam-2759	97	13	such	such	ADJ
ejpam-2759	97	14	that	that	SCONJ
ejpam-2759	97	15	ωi,0	ωi,0	PROPN
ejpam-2759	97	16	≥	≥	NUM
ejpam-2759	97	17	0	0	NUM
ejpam-2759	97	18	.	.	PUNCT
ejpam-2759	98	1	(	(	PUNCT
ejpam-2759	98	2	2	2	NUM
ejpam-2759	98	3	)	)	PUNCT
ejpam-2759	98	4	and	and	CCONJ
ejpam-2759	98	5	φ0	φ0	PROPN
ejpam-2759	98	6	∈	∈	PROPN
ejpam-2759	98	7	l∞(ω	l∞(ω	NOUN
ejpam-2759	98	8	)	)	PUNCT
ejpam-2759	98	9	.	.	PUNCT
ejpam-2759	99	1	(	(	PUNCT
ejpam-2759	99	2	3	3	X
ejpam-2759	99	3	)	)	PUNCT
ejpam-2759	99	4	and	and	CCONJ
ejpam-2759	99	5	there	there	PRON
ejpam-2759	99	6	exists	exist	VERB
ejpam-2759	99	7	a	a	DET
ejpam-2759	99	8	function	function	NOUN
ejpam-2759	99	9	θ	θ	PROPN
ejpam-2759	99	10	∈	∈	PROPN
ejpam-2759	99	11	l∞(qt	l∞(qt	NOUN
ejpam-2759	99	12	)	)	PUNCT
ejpam-2759	99	13	,	,	PUNCT
ejpam-2759	99	14	such	such	ADJ
ejpam-2759	99	15	that	that	SCONJ
ejpam-2759	99	16	{	{	PUNCT
ejpam-2759	99	17	|f	|f	PROPN
ejpam-2759	99	18	(	(	PUNCT
ejpam-2759	99	19	t	t	PROPN
ejpam-2759	99	20	,	,	PUNCT
ejpam-2759	99	21	x	x	PRON
ejpam-2759	99	22	,	,	PUNCT
ejpam-2759	99	23	r)|	r)|	ADJ
ejpam-2759	99	24	≤	≤	PUNCT
ejpam-2759	99	25	θ(t	θ(t	PROPN
ejpam-2759	99	26	,	,	PUNCT
ejpam-2759	99	27	x	x	X
ejpam-2759	99	28	)	)	PUNCT
ejpam-2759	99	29	a.e	a.e	PROPN
ejpam-2759	99	30	.	.	PUNCT
ejpam-2759	99	31	(	(	PUNCT
ejpam-2759	99	32	t	t	PROPN
ejpam-2759	99	33	,	,	PUNCT
ejpam-2759	99	34	x	x	X
ejpam-2759	99	35	)	)	PUNCT
ejpam-2759	99	36	∈	∈	NOUN
ejpam-2759	99	37	qt	qt	NOUN
ejpam-2759	99	38	,	,	PUNCT
ejpam-2759	99	39	∀r	∀r	X
ejpam-2759	99	40	∈	∈	NOUN
ejpam-2759	99	41	[	[	X
ejpam-2759	99	42	0,∞)ns	0,∞)ns	NOUN
ejpam-2759	99	43	,	,	PUNCT
ejpam-2759	99	44	(	(	PUNCT
ejpam-2759	99	45	4	4	X
ejpam-2759	99	46	)	)	PUNCT
ejpam-2759	99	47	now	now	ADV
ejpam-2759	99	48	,	,	PUNCT
ejpam-2759	99	49	we	we	PRON
ejpam-2759	99	50	clarify	clarify	VERB
ejpam-2759	99	51	in	in	ADP
ejpam-2759	99	52	which	which	DET
ejpam-2759	99	53	sense	sense	NOUN
ejpam-2759	99	54	we	we	PRON
ejpam-2759	99	55	want	want	VERB
ejpam-2759	99	56	to	to	PART
ejpam-2759	99	57	solve	solve	VERB
ejpam-2759	99	58	our	our	PRON
ejpam-2759	99	59	problem	problem	NOUN
ejpam-2759	99	60	.	.	PUNCT
ejpam-2759	100	1	in	in	ADP
ejpam-2759	100	2	the	the	DET
ejpam-2759	100	3	following	following	NOUN
ejpam-2759	100	4	,	,	PUNCT
ejpam-2759	100	5	we	we	PRON
ejpam-2759	100	6	define	define	VERB
ejpam-2759	100	7	the	the	DET
ejpam-2759	100	8	notion	notion	NOUN
ejpam-2759	100	9	of	of	ADP
ejpam-2759	100	10	weak	weak	ADJ
ejpam-2759	100	11	solution	solution	NOUN
ejpam-2759	100	12	.	.	PUNCT
ejpam-2759	101	1	definition	definition	NOUN
ejpam-2759	101	2	1	1	NUM
ejpam-2759	101	3	.	.	PUNCT
ejpam-2759	102	1	(	(	PUNCT
ejpam-2759	102	2	ω	ω	PROPN
ejpam-2759	102	3	,	,	PUNCT
ejpam-2759	102	4	φ	φ	NUM
ejpam-2759	102	5	)	)	PUNCT
ejpam-2759	102	6	=	=	SYM
ejpam-2759	102	7	(	(	PUNCT
ejpam-2759	102	8	ω1	ω1	PROPN
ejpam-2759	102	9	,	,	PUNCT
ejpam-2759	102	10	...	...	PUNCT
ejpam-2759	102	11	,	,	PUNCT
ejpam-2759	102	12	ωns	ωns	PROPN
ejpam-2759	102	13	,	,	PUNCT
ejpam-2759	102	14	φ	φ	PROPN
ejpam-2759	102	15	)	)	PUNCT
ejpam-2759	102	16	is	be	AUX
ejpam-2759	102	17	said	say	VERB
ejpam-2759	102	18	to	to	PART
ejpam-2759	102	19	be	be	AUX
ejpam-2759	102	20	a	a	DET
ejpam-2759	102	21	weak	weak	ADJ
ejpam-2759	102	22	solution	solution	NOUN
ejpam-2759	102	23	of	of	ADP
ejpam-2759	102	24	(	(	PUNCT
ejpam-2759	102	25	1	1	X
ejpam-2759	102	26	)	)	PUNCT
ejpam-2759	102	27	if	if	SCONJ
ejpam-2759	102	28	,	,	PUNCT
ejpam-2759	102	29	for	for	ADP
ejpam-2759	102	30	all	all	DET
ejpam-2759	102	31	1	1	NUM
ejpam-2759	102	32	≤	≤	NUM
ejpam-2759	103	1	i	i	PRON
ejpam-2759	103	2	≤	≤	NOUN
ejpam-2759	103	3	ns	ns	PUNCT
ejpam-2759	103	4	ω	ω	PROPN
ejpam-2759	103	5	∈	∈	PROPN
ejpam-2759	103	6	c([0	c([0	NOUN
ejpam-2759	103	7	,	,	PUNCT
ejpam-2759	103	8	t	t	X
ejpam-2759	103	9	]	]	PUNCT
ejpam-2759	103	10	;	;	PUNCT
ejpam-2759	103	11	l1(ω)ns	l1(ω)ns	ADJ
ejpam-2759	103	12	)	)	PUNCT
ejpam-2759	103	13	∩	∩	PROPN
ejpam-2759	103	14	l1(0	l1(0	PROPN
ejpam-2759	103	15	,	,	PUNCT
ejpam-2759	103	16	t	t	PROPN
ejpam-2759	103	17	,	,	PUNCT
ejpam-2759	103	18	w	w	PROPN
ejpam-2759	103	19	1,1(ω)ns	1,1(ω)ns	NUM
ejpam-2759	103	20	)	)	PUNCT
ejpam-2759	103	21	,	,	PUNCT
ejpam-2759	103	22	φ	φ	PROPN
ejpam-2759	103	23	∈	∈	PROPN
ejpam-2759	103	24	l∞(0	l∞(0	PRON
ejpam-2759	103	25	,	,	PUNCT
ejpam-2759	103	26	t	t	PROPN
ejpam-2759	103	27	,	,	PUNCT
ejpam-2759	103	28	w	w	PROPN
ejpam-2759	103	29	1,∞	1,∞	NUM
ejpam-2759	103	30	0	0	NUM
ejpam-2759	103	31	(	(	PUNCT
ejpam-2759	103	32	ω	ω	NOUN
ejpam-2759	103	33	)	)	PUNCT
ejpam-2759	103	34	)	)	PUNCT
ejpam-2759	103	35	,	,	PUNCT
ejpam-2759	103	36	si(ω	si(ω	NOUN
ejpam-2759	103	37	,	,	PUNCT
ejpam-2759	103	38	φ	φ	NUM
ejpam-2759	103	39	)	)	PUNCT
ejpam-2759	103	40	∈	∈	PROPN
ejpam-2759	103	41	l1(qt	l1(qt	PROPN
ejpam-2759	103	42	)	)	PUNCT
ejpam-2759	103	43	for	for	ADP
ejpam-2759	103	44	all	all	PRON
ejpam-2759	103	45	v	v	ADP
ejpam-2759	103	46	∈	∈	PROPN
ejpam-2759	103	47	c1(qt	c1(qt	NUM
ejpam-2759	103	48	)	)	PUNCT
ejpam-2759	103	49	such	such	ADJ
ejpam-2759	103	50	that	that	SCONJ
ejpam-2759	103	51	v(t	v(t	NOUN
ejpam-2759	103	52	,	,	PUNCT
ejpam-2759	103	53	.	.	PUNCT
ejpam-2759	103	54	)	)	PUNCT
ejpam-2759	104	1	=	=	SYM
ejpam-2759	104	2	0	0	NUM
ejpam-2759	105	1	−	−	NUM
ejpam-2759	105	2	∫	∫	PROPN
ejpam-2759	105	3	qt	qt	X
ejpam-2759	105	4	ωi	ωi	PROPN
ejpam-2759	105	5	∂v	∂v	PROPN
ejpam-2759	105	6	∂t	∂t	PROPN
ejpam-2759	105	7	+	+	CCONJ
ejpam-2759	105	8	di	di	PROPN
ejpam-2759	105	9	∫	∫	PROPN
ejpam-2759	105	10	qt	qt	PROPN
ejpam-2759	105	11	∇ωi∇v	∇ωi∇v	PROPN
ejpam-2759	105	12	+	+	PROPN
ejpam-2759	105	13	mi	mi	X
ejpam-2759	105	14	∫	∫	PROPN
ejpam-2759	105	15	qt	qt	PROPN
ejpam-2759	105	16	ωi∇φ∇v	ωi∇φ∇v	PROPN
ejpam-2759	105	17	−	−	PROPN
ejpam-2759	105	18	∫	∫	PROPN
ejpam-2759	105	19	ω	ω	PROPN
ejpam-2759	105	20	ωi(0	ωi(0	PROPN
ejpam-2759	105	21	,	,	PUNCT
ejpam-2759	105	22	x)v(0	x)v(0	PROPN
ejpam-2759	105	23	,	,	PUNCT
ejpam-2759	105	24	x)dx	x)dx	PROPN
ejpam-2759	105	25	=	=	SYM
ejpam-2759	105	26	∫	∫	PROPN
ejpam-2759	105	27	qt	qt	PROPN
ejpam-2759	105	28	si(ω	si(ω	PROPN
ejpam-2759	105	29	,	,	PUNCT
ejpam-2759	105	30	φ)v	φ)v	PUNCT
ejpam-2759	105	31	for	for	ADP
ejpam-2759	105	32	all	all	DET
ejpam-2759	105	33	θ	θ	PROPN
ejpam-2759	105	34	∈	∈	PROPN
ejpam-2759	105	35	d(ω	d(ω	PROPN
ejpam-2759	105	36	)	)	PUNCT
ejpam-2759	105	37	and	and	CCONJ
ejpam-2759	105	38	t	t	PROPN
ejpam-2759	105	39	∈]0	∈]0	ADV
ejpam-2759	105	40	,	,	PUNCT
ejpam-2759	105	41	t	t	PROPN
ejpam-2759	106	1	[	[	X
ejpam-2759	106	2	∫	∫	PROPN
ejpam-2759	106	3	ω	ω	PROPN
ejpam-2759	106	4	ε∇φ∇θ	ε∇φ∇θ	PROPN
ejpam-2759	106	5	=	=	SYM
ejpam-2759	107	1	∫	∫	PROPN
ejpam-2759	107	2	ω	ω	NUM
ejpam-2759	107	3	f	f	PROPN
ejpam-2759	107	4	(	(	PUNCT
ejpam-2759	107	5	ω)θ	ω)θ	NOUN
ejpam-2759	107	6	φ(0	φ(0	ADJ
ejpam-2759	107	7	,	,	PUNCT
ejpam-2759	107	8	x	x	NOUN
ejpam-2759	107	9	)	)	PUNCT
ejpam-2759	107	10	=	=	SYM
ejpam-2759	107	11	φ0(x	φ0(x	NOUN
ejpam-2759	107	12	)	)	PUNCT
ejpam-2759	107	13	in	in	ADP
ejpam-2759	107	14	ω	ω	PROPN
ejpam-2759	107	15	ωi(0	ωi(0	PROPN
ejpam-2759	107	16	,	,	PUNCT
ejpam-2759	107	17	x	x	NOUN
ejpam-2759	107	18	)	)	PUNCT
ejpam-2759	107	19	=	=	SYM
ejpam-2759	107	20	ωi,0(x	ωi,0(x	NOUN
ejpam-2759	107	21	)	)	PUNCT
ejpam-2759	107	22	in	in	ADP
ejpam-2759	107	23	ω	ω	PROPN
ejpam-2759	107	24	(	(	PUNCT
ejpam-2759	107	25	5	5	NUM
ejpam-2759	107	26	)	)	PUNCT
ejpam-2759	107	27	the	the	DET
ejpam-2759	107	28	principal	principal	ADJ
ejpam-2759	107	29	result	result	NOUN
ejpam-2759	107	30	of	of	ADP
ejpam-2759	107	31	this	this	DET
ejpam-2759	107	32	paper	paper	NOUN
ejpam-2759	107	33	is	be	AUX
ejpam-2759	107	34	the	the	DET
ejpam-2759	107	35	following	follow	VERB
ejpam-2759	107	36	theorem	theorem	NOUN
ejpam-2759	107	37	theorem	theorem	NOUN
ejpam-2759	107	38	1	1	X
ejpam-2759	107	39	.	.	X
ejpam-2759	108	1	we	we	PRON
ejpam-2759	108	2	assume	assume	VERB
ejpam-2759	108	3	that	that	SCONJ
ejpam-2759	108	4	(	(	PUNCT
ejpam-2759	108	5	h1	h1	PROPN
ejpam-2759	108	6	)	)	PUNCT
ejpam-2759	108	7	−	−	PROPN
ejpam-2759	109	1	(	(	PUNCT
ejpam-2759	109	2	h3	h3	NOUN
ejpam-2759	109	3	)	)	PUNCT
ejpam-2759	109	4	,	,	PUNCT
ejpam-2759	109	5	(	(	PUNCT
ejpam-2759	109	6	2	2	NUM
ejpam-2759	109	7	)	)	PUNCT
ejpam-2759	109	8	,	,	PUNCT
ejpam-2759	109	9	(	(	PUNCT
ejpam-2759	109	10	3	3	X
ejpam-2759	109	11	)	)	PUNCT
ejpam-2759	109	12	and	and	CCONJ
ejpam-2759	109	13	(	(	PUNCT
ejpam-2759	109	14	4	4	X
ejpam-2759	109	15	)	)	PUNCT
ejpam-2759	109	16	hold	hold	NOUN
ejpam-2759	109	17	.	.	PUNCT
ejpam-2759	110	1	then	then	ADV
ejpam-2759	110	2	there	there	PRON
ejpam-2759	110	3	exists	exist	VERB
ejpam-2759	110	4	a	a	DET
ejpam-2759	110	5	weak	weak	ADJ
ejpam-2759	110	6	solution	solution	NOUN
ejpam-2759	110	7	(	(	PUNCT
ejpam-2759	110	8	ω	ω	PROPN
ejpam-2759	110	9	,	,	PUNCT
ejpam-2759	110	10	φ	φ	NUM
ejpam-2759	110	11	)	)	PUNCT
ejpam-2759	110	12	of	of	ADP
ejpam-2759	110	13	(	(	PUNCT
ejpam-2759	110	14	1	1	X
ejpam-2759	110	15	)	)	PUNCT
ejpam-2759	110	16	satisfying	satisfy	VERB
ejpam-2759	110	17	ωi	ωi	NUM
ejpam-2759	110	18	≥	≥	NOUN
ejpam-2759	110	19	0	0	NUM
ejpam-2759	110	20	in	in	ADP
ejpam-2759	110	21	qt	qt	NOUN
ejpam-2759	110	22	for	for	ADP
ejpam-2759	110	23	all	all	DET
ejpam-2759	110	24	1	1	NUM
ejpam-2759	110	25	≤	≤	NUM
ejpam-2759	110	26	i	i	PRON
ejpam-2759	110	27	≤	≤	NUM
ejpam-2759	110	28	ns	ns	NUM
ejpam-2759	110	29	.	.	PROPN
ejpam-2759	110	30	3	3	NUM
ejpam-2759	110	31	.	.	X
ejpam-2759	110	32	proof	proof	NOUN
ejpam-2759	110	33	of	of	ADP
ejpam-2759	110	34	the	the	DET
ejpam-2759	110	35	main	main	ADJ
ejpam-2759	110	36	result	result	NOUN
ejpam-2759	110	37	in	in	ADP
ejpam-2759	110	38	this	this	DET
ejpam-2759	110	39	paper	paper	NOUN
ejpam-2759	110	40	,	,	PUNCT
ejpam-2759	110	41	we	we	PRON
ejpam-2759	110	42	organized	organize	VERB
ejpam-2759	110	43	the	the	DET
ejpam-2759	110	44	steps	step	NOUN
ejpam-2759	110	45	of	of	ADP
ejpam-2759	110	46	our	our	PRON
ejpam-2759	110	47	work	work	NOUN
ejpam-2759	110	48	as	as	SCONJ
ejpam-2759	110	49	follows	follow	VERB
ejpam-2759	110	50	.	.	PUNCT
ejpam-2759	111	1	at	at	ADP
ejpam-2759	111	2	first	first	ADV
ejpam-2759	111	3	,	,	PUNCT
ejpam-2759	111	4	we	we	PRON
ejpam-2759	111	5	will	will	AUX
ejpam-2759	111	6	prove	prove	VERB
ejpam-2759	111	7	the	the	DET
ejpam-2759	111	8	nonnegativity	nonnegativity	NOUN
ejpam-2759	111	9	and	and	CCONJ
ejpam-2759	111	10	the	the	DET
ejpam-2759	111	11	l1	l1	PROPN
ejpam-2759	111	12	bound	bind	VERB
ejpam-2759	111	13	of	of	ADP
ejpam-2759	111	14	solutions	solution	NOUN
ejpam-2759	111	15	uniformly	uniformly	ADV
ejpam-2759	111	16	in	in	ADP
ejpam-2759	111	17	time	time	NOUN
ejpam-2759	111	18	,	,	PUNCT
ejpam-2759	111	19	after	after	ADP
ejpam-2759	111	20	that	that	PRON
ejpam-2759	111	21	,	,	PUNCT
ejpam-2759	111	22	we	we	PRON
ejpam-2759	111	23	will	will	AUX
ejpam-2759	111	24	show	show	VERB
ejpam-2759	111	25	that	that	SCONJ
ejpam-2759	111	26	the	the	DET
ejpam-2759	111	27	nonlinear	nonlinear	ADJ
ejpam-2759	111	28	terms	term	NOUN
ejpam-2759	111	29	are	be	AUX
ejpam-2759	111	30	also	also	ADV
ejpam-2759	111	31	bounded	bound	VERB
ejpam-2759	111	32	in	in	ADP
ejpam-2759	111	33	l1(qt	l1(qt	PROPN
ejpam-2759	111	34	)	)	PUNCT
ejpam-2759	111	35	,	,	PUNCT
ejpam-2759	111	36	where	where	SCONJ
ejpam-2759	111	37	here	here	ADV
ejpam-2759	111	38	we	we	PRON
ejpam-2759	111	39	add	add	VERB
ejpam-2759	111	40	some	some	DET
ejpam-2759	111	41	assumptions	assumption	NOUN
ejpam-2759	111	42	on	on	ADP
ejpam-2759	111	43	the	the	DET
ejpam-2759	111	44	nonlinearities	nonlinearitie	NOUN
ejpam-2759	111	45	,	,	PUNCT
ejpam-2759	111	46	in	in	ADP
ejpam-2759	111	47	order	order	NOUN
ejpam-2759	111	48	to	to	PART
ejpam-2759	111	49	obtain	obtain	VERB
ejpam-2759	111	50	the	the	DET
ejpam-2759	111	51	desire	desire	NOUN
ejpam-2759	111	52	estimation	estimation	NOUN
ejpam-2759	111	53	.	.	PUNCT
ejpam-2759	112	1	the	the	DET
ejpam-2759	112	2	second	second	ADJ
ejpam-2759	112	3	main	main	ADJ
ejpam-2759	112	4	purpose	purpose	NOUN
ejpam-2759	112	5	is	be	AUX
ejpam-2759	112	6	to	to	PART
ejpam-2759	112	7	give	give	VERB
ejpam-2759	112	8	an	an	DET
ejpam-2759	112	9	approximate	approximate	ADJ
ejpam-2759	112	10	problem	problem	NOUN
ejpam-2759	112	11	using	use	VERB
ejpam-2759	112	12	the	the	DET
ejpam-2759	112	13	truncated	truncate	VERB
ejpam-2759	112	14	functions	function	NOUN
ejpam-2759	112	15	not	not	PART
ejpam-2759	112	16	only	only	ADV
ejpam-2759	112	17	on	on	ADP
ejpam-2759	112	18	the	the	DET
ejpam-2759	112	19	nonlinearities	nonlinearitie	NOUN
ejpam-2759	112	20	but	but	CCONJ
ejpam-2759	112	21	also	also	ADV
ejpam-2759	112	22	on	on	ADP
ejpam-2759	112	23	the	the	DET
ejpam-2759	112	24	initial	initial	ADJ
ejpam-2759	112	25	data	datum	NOUN
ejpam-2759	112	26	,	,	PUNCT
ejpam-2759	112	27	where	where	SCONJ
ejpam-2759	112	28	we	we	PRON
ejpam-2759	112	29	will	will	AUX
ejpam-2759	112	30	be	be	AUX
ejpam-2759	112	31	inspired	inspire	VERB
ejpam-2759	112	32	from	from	ADP
ejpam-2759	112	33	the	the	DET
ejpam-2759	112	34	method	method	NOUN
ejpam-2759	112	35	of	of	ADP
ejpam-2759	112	36	michel	michel	PROPN
ejpam-2759	112	37	pierre	pierre	PROPN
ejpam-2759	113	1	[	[	X
ejpam-2759	113	2	16	16	NUM
ejpam-2759	113	3	]	]	PUNCT
ejpam-2759	113	4	.	.	PUNCT
ejpam-2759	114	1	n.	n.	PROPN
ejpam-2759	114	2	alaa	alaa	PROPN
ejpam-2759	114	3	,	,	PUNCT
ejpam-2759	114	4	f.	f.	PROPN
ejpam-2759	114	5	aqel	aqel	PROPN
ejpam-2759	114	6	/	/	SYM
ejpam-2759	114	7	eur	eur	PROPN
ejpam-2759	114	8	.	.	PUNCT
ejpam-2759	115	1	j.	j.	PROPN
ejpam-2759	115	2	pure	pure	PROPN
ejpam-2759	115	3	appl	appl	PROPN
ejpam-2759	115	4	.	.	PROPN
ejpam-2759	115	5	math	math	PROPN
ejpam-2759	115	6	,	,	PUNCT
ejpam-2759	115	7	10	10	NUM
ejpam-2759	115	8	(	(	PUNCT
ejpam-2759	115	9	2	2	NUM
ejpam-2759	115	10	)	)	PUNCT
ejpam-2759	115	11	(	(	PUNCT
ejpam-2759	115	12	2017	2017	NUM
ejpam-2759	115	13	)	)	PUNCT
ejpam-2759	115	14	,	,	PUNCT
ejpam-2759	115	15	272	272	NUM
ejpam-2759	115	16	-	-	SYM
ejpam-2759	115	17	294	294	NUM
ejpam-2759	115	18	277	277	NUM
ejpam-2759	115	19	3.1	3.1	NUM
ejpam-2759	115	20	.	.	PUNCT
ejpam-2759	116	1	existence	existence	NOUN
ejpam-2759	116	2	of	of	ADP
ejpam-2759	116	3	global	global	ADJ
ejpam-2759	116	4	weak	weak	ADJ
ejpam-2759	116	5	supersolutions	supersolution	NOUN
ejpam-2759	116	6	for	for	ADP
ejpam-2759	116	7	bounded	bounded	ADJ
ejpam-2759	116	8	l1−nonlinearities	l1−nonlinearitie	NOUN
ejpam-2759	116	9	now	now	ADV
ejpam-2759	116	10	,	,	PUNCT
ejpam-2759	116	11	we	we	PRON
ejpam-2759	116	12	need	need	VERB
ejpam-2759	116	13	to	to	PART
ejpam-2759	116	14	approximate	approximate	VERB
ejpam-2759	116	15	the	the	DET
ejpam-2759	116	16	system	system	NOUN
ejpam-2759	116	17	(	(	PUNCT
ejpam-2759	116	18	1	1	NUM
ejpam-2759	116	19	)	)	PUNCT
ejpam-2759	116	20	.	.	PUNCT
ejpam-2759	117	1	for	for	ADP
ejpam-2759	117	2	this	this	PRON
ejpam-2759	117	3	,	,	PUNCT
ejpam-2759	117	4	we	we	PRON
ejpam-2759	117	5	truncate	truncate	VERB
ejpam-2759	117	6	the	the	DET
ejpam-2759	117	7	nonlinear	nonlinear	ADJ
ejpam-2759	117	8	terms	term	NOUN
ejpam-2759	117	9	si	si	INTJ
ejpam-2759	117	10	as	as	SCONJ
ejpam-2759	117	11	follows	follow	VERB
ejpam-2759	117	12	sni	sni	PROPN
ejpam-2759	117	13	=	=	PUNCT
ejpam-2759	117	14	tnosi	tnosi	NOUN
ejpam-2759	117	15	where	where	SCONJ
ejpam-2759	117	16	the	the	DET
ejpam-2759	117	17	truncated	truncated	ADJ
ejpam-2759	117	18	function	function	NOUN
ejpam-2759	117	19	tn	tn	NOUN
ejpam-2759	117	20	:	:	PUNCT
ejpam-2759	117	21	r→	r→	PROPN
ejpam-2759	117	22	r	r	NOUN
ejpam-2759	117	23	is	be	AUX
ejpam-2759	117	24	given	give	VERB
ejpam-2759	117	25	by	by	ADP
ejpam-2759	117	26	tn(σ	tn(σ	PRON
ejpam-2759	117	27	)	)	PUNCT
ejpam-2759	118	1	=	=	PUNCT
ejpam-2759	118	2	σ	σ	NOUN
ejpam-2759	118	3	if	if	SCONJ
ejpam-2759	118	4	σ	σ	PROPN
ejpam-2759	118	5	∈	∈	PROPN
ejpam-2759	118	6	(	(	PUNCT
ejpam-2759	118	7	−σn	−σn	PROPN
ejpam-2759	118	8	,	,	PUNCT
ejpam-2759	118	9	n	n	CCONJ
ejpam-2759	118	10	)	)	PUNCT
ejpam-2759	118	11	,	,	PUNCT
ejpam-2759	118	12	tn(σ	tn(σ	NUM
ejpam-2759	118	13	)	)	PUNCT
ejpam-2759	119	1	=	=	SYM
ejpam-2759	119	2	−σn	−σn	NOUN
ejpam-2759	119	3	if	if	SCONJ
ejpam-2759	119	4	σ	σ	PROPN
ejpam-2759	119	5	<	<	X
ejpam-2759	119	6	−σn	−σn	PROPN
ejpam-2759	119	7	and	and	CCONJ
ejpam-2759	119	8	tn(σ	tn(σ	NUM
ejpam-2759	119	9	)	)	PUNCT
ejpam-2759	120	1	=	=	SYM
ejpam-2759	120	2	n	n	PROPN
ejpam-2759	120	3	if	if	SCONJ
ejpam-2759	120	4	σ	σ	PROPN
ejpam-2759	120	5	>	>	X
ejpam-2759	120	6	n	n	CCONJ
ejpam-2759	120	7	where	where	SCONJ
ejpam-2759	120	8	σn	σn	X
ejpam-2759	120	9	=	=	SYM
ejpam-2759	120	10	(	(	PUNCT
ejpam-2759	120	11	ns)n	ns)n	NOUN
ejpam-2759	120	12	.	.	PUNCT
ejpam-2759	121	1	also	also	ADV
ejpam-2759	121	2	we	we	PRON
ejpam-2759	121	3	need	need	VERB
ejpam-2759	121	4	to	to	PART
ejpam-2759	121	5	truncate	truncate	VERB
ejpam-2759	121	6	the	the	DET
ejpam-2759	121	7	initial	initial	ADJ
ejpam-2759	121	8	data	datum	NOUN
ejpam-2759	121	9	,	,	PUNCT
ejpam-2759	121	10	so	so	ADV
ejpam-2759	121	11	,	,	PUNCT
ejpam-2759	121	12	we	we	PRON
ejpam-2759	121	13	set	set	VERB
ejpam-2759	121	14	ωni,0	ωni,0	NOUN
ejpam-2759	121	15	=	=	SYM
ejpam-2759	121	16	inf{ωi,0	inf{ωi,0	PROPN
ejpam-2759	121	17	,	,	PUNCT
ejpam-2759	121	18	n	n	CCONJ
ejpam-2759	121	19	}	}	PUNCT
ejpam-2759	121	20	for	for	ADP
ejpam-2759	121	21	all	all	DET
ejpam-2759	121	22	i	i	PRON
ejpam-2759	121	23	=	=	NOUN
ejpam-2759	121	24	1	1	NUM
ejpam-2759	121	25	,	,	PUNCT
ejpam-2759	121	26	...	...	PUNCT
ejpam-2759	121	27	,	,	PUNCT
ejpam-2759	121	28	ns	ns	X
ejpam-2759	121	29	.	.	PUNCT
ejpam-2759	122	1	the	the	DET
ejpam-2759	122	2	next	next	ADJ
ejpam-2759	122	3	step	step	NOUN
ejpam-2759	122	4	is	be	AUX
ejpam-2759	122	5	to	to	PART
ejpam-2759	122	6	consider	consider	VERB
ejpam-2759	122	7	an	an	DET
ejpam-2759	122	8	approximated	approximated	ADJ
ejpam-2759	122	9	system	system	NOUN
ejpam-2759	122	10	of	of	ADP
ejpam-2759	122	11	(	(	PUNCT
ejpam-2759	122	12	1	1	NUM
ejpam-2759	122	13	)	)	PUNCT
ejpam-2759	122	14	,	,	PUNCT
ejpam-2759	122	15	namely	namely	ADV
ejpam-2759	122	16	classical	classical	ADJ
ejpam-2759	122	17	solutions	solution	NOUN
ejpam-2759	122	18	(	(	PUNCT
ejpam-2759	122	19	ωn	ωn	X
ejpam-2759	122	20	,	,	PUNCT
ejpam-2759	122	21	φn	φn	NOUN
ejpam-2759	122	22	)	)	PUNCT
ejpam-2759	122	23	=	=	SYM
ejpam-2759	122	24	(	(	PUNCT
ejpam-2759	122	25	ω1,n	ω1,n	PROPN
ejpam-2759	122	26	,	,	PUNCT
ejpam-2759	122	27	...	...	PUNCT
ejpam-2759	122	28	,	,	PUNCT
ejpam-2759	122	29	ωns	ωns	PROPN
ejpam-2759	122	30	,	,	PUNCT
ejpam-2759	122	31	n	n	CCONJ
ejpam-2759	122	32	,	,	PUNCT
ejpam-2759	122	33	φn	φn	NOUN
ejpam-2759	122	34	)	)	PUNCT
ejpam-2759	122	35	of	of	PROPN
ejpam-2759	122	36	for	for	ADP
ejpam-2759	122	37	all	all	DET
ejpam-2759	122	38	1	1	NUM
ejpam-2759	122	39	≤	≤	NUM
ejpam-2759	122	40	i	i	PRON
ejpam-2759	122	41	≤	≤	NOUN
ejpam-2759	122	42	ns	ns	NUM
ejpam-2759	122	43	∂ωi	∂ωi	NOUN
ejpam-2759	122	44	,	,	PUNCT
ejpam-2759	122	45	n	n	PRON
ejpam-2759	122	46	∂t	∂t	PROPN
ejpam-2759	122	47	−	−	PROPN
ejpam-2759	122	48	di∆ωi	di∆ωi	PROPN
ejpam-2759	122	49	,	,	PUNCT
ejpam-2759	122	50	n	n	PRON
ejpam-2759	122	51	−midiv(ωi	−midiv(ωi	NOUN
ejpam-2759	122	52	,	,	PUNCT
ejpam-2759	122	53	n∇φn	n∇φn	PROPN
ejpam-2759	122	54	)	)	PUNCT
ejpam-2759	122	55	=	=	SYM
ejpam-2759	122	56	sni	sni	PROPN
ejpam-2759	122	57	(	(	PUNCT
ejpam-2759	122	58	ωn	ωn	PROPN
ejpam-2759	122	59	,	,	PUNCT
ejpam-2759	122	60	φn	φn	NOUN
ejpam-2759	122	61	)	)	PUNCT
ejpam-2759	122	62	on	on	ADP
ejpam-2759	122	63	qt	qt	NOUN
ejpam-2759	122	64	−di	−di	PROPN
ejpam-2759	122	65	∂ωi	∂ωi	PROPN
ejpam-2759	122	66	,	,	PUNCT
ejpam-2759	122	67	n	n	NOUN
ejpam-2759	122	68	∂υ	∂υ	PROPN
ejpam-2759	122	69	−miωi	−miωi	NOUN
ejpam-2759	122	70	,	,	PUNCT
ejpam-2759	122	71	n	n	PROPN
ejpam-2759	122	72	∂φn	∂φn	PROPN
ejpam-2759	122	73	∂υ	∂υ	NOUN
ejpam-2759	123	1	=	=	SYM
ejpam-2759	123	2	0	0	NUM
ejpam-2759	123	3	in	in	ADP
ejpam-2759	123	4	σt	σt	ADP
ejpam-2759	123	5	−ε∆φn	−ε∆φn	PROPN
ejpam-2759	123	6	=	=	SYM
ejpam-2759	123	7	f	f	X
ejpam-2759	123	8	(	(	PUNCT
ejpam-2759	123	9	ωn	ωn	PROPN
ejpam-2759	123	10	)	)	PUNCT
ejpam-2759	123	11	on	on	ADP
ejpam-2759	123	12	qt	qt	NOUN
ejpam-2759	123	13	φn(t	φn(t	PUNCT
ejpam-2759	123	14	,	,	PUNCT
ejpam-2759	123	15	x	x	X
ejpam-2759	123	16	)	)	PUNCT
ejpam-2759	123	17	=	=	SYM
ejpam-2759	123	18	0	0	NUM
ejpam-2759	124	1	in	in	ADP
ejpam-2759	124	2	σt	σt	ADP
ejpam-2759	124	3	φn(0	φn(0	PROPN
ejpam-2759	124	4	,	,	PUNCT
ejpam-2759	124	5	x	x	NOUN
ejpam-2759	124	6	)	)	PUNCT
ejpam-2759	124	7	=	=	SYM
ejpam-2759	124	8	φ0(x	φ0(x	NOUN
ejpam-2759	124	9	)	)	PUNCT
ejpam-2759	124	10	on	on	ADP
ejpam-2759	124	11	ω	ω	PROPN
ejpam-2759	124	12	ωi	ωi	PROPN
ejpam-2759	124	13	,	,	PUNCT
ejpam-2759	124	14	n(0	n(0	PROPN
ejpam-2759	124	15	,	,	PUNCT
ejpam-2759	124	16	x	x	NOUN
ejpam-2759	124	17	)	)	PUNCT
ejpam-2759	124	18	=	=	SYM
ejpam-2759	124	19	ωni,0(x	ωni,0(x	NOUN
ejpam-2759	124	20	)	)	PUNCT
ejpam-2759	124	21	on	on	ADP
ejpam-2759	124	22	ω	ω	PROPN
ejpam-2759	124	23	(	(	PUNCT
ejpam-2759	124	24	6	6	NUM
ejpam-2759	124	25	)	)	PUNCT
ejpam-2759	124	26	where	where	SCONJ
ejpam-2759	124	27	sni	sni	PROPN
ejpam-2759	124	28	are	be	AUX
ejpam-2759	124	29	essentially	essentially	ADV
ejpam-2759	124	30	truncations	truncation	NOUN
ejpam-2759	124	31	of	of	ADP
ejpam-2759	124	32	the	the	DET
ejpam-2759	124	33	nonlinearities	nonlinearitie	NOUN
ejpam-2759	124	34	si	si	X
ejpam-2759	124	35	and	and	CCONJ
ejpam-2759	124	36	ωni,0	ωni,0	ADJ
ejpam-2759	124	37	tends	tend	VERB
ejpam-2759	124	38	to	to	ADP
ejpam-2759	124	39	ωi,0	ωi,0	PROPN
ejpam-2759	124	40	in	in	ADP
ejpam-2759	124	41	l1(ω	l1(ω	PROPN
ejpam-2759	124	42	)	)	PUNCT
ejpam-2759	124	43	.	.	PUNCT
ejpam-2759	125	1	moreover	moreover	ADV
ejpam-2759	125	2	,	,	PUNCT
ejpam-2759	125	3	we	we	PRON
ejpam-2759	125	4	assume	assume	VERB
ejpam-2759	125	5	that	that	SCONJ
ejpam-2759	125	6	sni	sni	PROPN
ejpam-2759	125	7	have	have	VERB
ejpam-2759	125	8	the	the	DET
ejpam-2759	125	9	same	same	ADJ
ejpam-2759	125	10	properties	property	NOUN
ejpam-2759	125	11	(	(	PUNCT
ejpam-2759	125	12	h1)−	h1)−	PROPN
ejpam-2759	125	13	(	(	PUNCT
ejpam-2759	125	14	h3	h3	NOUN
ejpam-2759	125	15	)	)	PUNCT
ejpam-2759	125	16	as	as	ADP
ejpam-2759	125	17	si	si	PROPN
ejpam-2759	125	18	,	,	PUNCT
ejpam-2759	125	19	and	and	CCONJ
ejpam-2759	125	20	we	we	PRON
ejpam-2759	125	21	choose	choose	VERB
ejpam-2759	125	22	the	the	DET
ejpam-2759	125	23	nonlinearities	nonlinearitie	NOUN
ejpam-2759	125	24	in	in	ADP
ejpam-2759	125	25	such	such	DET
ejpam-2759	125	26	a	a	DET
ejpam-2759	125	27	way	way	NOUN
ejpam-2759	125	28	that	that	PRON
ejpam-2759	125	29	they	they	PRON
ejpam-2759	125	30	will	will	AUX
ejpam-2759	125	31	be	be	AUX
ejpam-2759	125	32	uniformly	uniformly	ADV
ejpam-2759	125	33	bounded	bound	VERB
ejpam-2759	125	34	for	for	ADP
ejpam-2759	125	35	each	each	DET
ejpam-2759	125	36	n.	n.	NOUN
ejpam-2759	125	37	first	first	ADV
ejpam-2759	125	38	of	of	ADP
ejpam-2759	125	39	all	all	PRON
ejpam-2759	125	40	,	,	PUNCT
ejpam-2759	125	41	we	we	PRON
ejpam-2759	125	42	will	will	AUX
ejpam-2759	125	43	need	need	VERB
ejpam-2759	125	44	to	to	PART
ejpam-2759	125	45	prove	prove	VERB
ejpam-2759	125	46	the	the	DET
ejpam-2759	125	47	nonnegativity	nonnegativity	NOUN
ejpam-2759	125	48	of	of	ADP
ejpam-2759	125	49	ωn	ωn	PROPN
ejpam-2759	125	50	,	,	PUNCT
ejpam-2759	125	51	for	for	SCONJ
ejpam-2759	125	52	that	that	PRON
ejpam-2759	125	53	we	we	PRON
ejpam-2759	125	54	introduce	introduce	VERB
ejpam-2759	125	55	the	the	DET
ejpam-2759	125	56	function	function	NOUN
ejpam-2759	125	57	zn	zn	PROPN
ejpam-2759	125	58	=	=	SYM
ejpam-2759	125	59	(	(	PUNCT
ejpam-2759	125	60	z1,n	z1,n	PROPN
ejpam-2759	125	61	,	,	PUNCT
ejpam-2759	125	62	z2,n	z2,n	PROPN
ejpam-2759	125	63	,	,	PUNCT
ejpam-2759	125	64	...	...	PUNCT
ejpam-2759	125	65	,	,	PUNCT
ejpam-2759	125	66	zns	zns	NOUN
ejpam-2759	125	67	,	,	PUNCT
ejpam-2759	125	68	n	n	CCONJ
ejpam-2759	125	69	)	)	PUNCT
ejpam-2759	125	70	which	which	PRON
ejpam-2759	125	71	is	be	AUX
ejpam-2759	125	72	defined	define	VERB
ejpam-2759	125	73	by	by	ADP
ejpam-2759	125	74	zi	zi	PROPN
ejpam-2759	125	75	,	,	PUNCT
ejpam-2759	125	76	n	n	PROPN
ejpam-2759	125	77	=	=	SYM
ejpam-2759	125	78	ωi	ωi	PROPN
ejpam-2759	125	79	,	,	PUNCT
ejpam-2759	125	80	ne	ne	PROPN
ejpam-2759	125	81	mi	mi	PROPN
ejpam-2759	125	82	di	di	X
ejpam-2759	125	83	φn	φn	ADV
ejpam-2759	125	84	1	1	NUM
ejpam-2759	125	85	≤	≤	NUM
ejpam-2759	125	86	i	i	PRON
ejpam-2759	125	87	≤	≤	NUM
ejpam-2759	125	88	ns	ns	INTJ
ejpam-2759	126	1	and	and	CCONJ
ejpam-2759	126	2	we	we	PRON
ejpam-2759	126	3	have	have	AUX
ejpam-2759	126	4	,	,	PUNCT
ejpam-2759	126	5	pi	pi	NOUN
ejpam-2759	126	6	,	,	PUNCT
ejpam-2759	126	7	n	n	NOUN
ejpam-2759	126	8	=	=	SYM
ejpam-2759	126	9	e	e	X
ejpam-2759	126	10	mi	mi	X
ejpam-2759	126	11	di	di	X
ejpam-2759	126	12	φn	φn	PROPN
ejpam-2759	126	13	and	and	CCONJ
ejpam-2759	126	14	qi	qi	PROPN
ejpam-2759	126	15	,	,	PUNCT
ejpam-2759	126	16	n	n	NOUN
ejpam-2759	126	17	=	=	SYM
ejpam-2759	126	18	1	1	NUM
ejpam-2759	126	19	pi	pi	NOUN
ejpam-2759	126	20	,	,	PUNCT
ejpam-2759	126	21	n	n	CCONJ
ejpam-2759	126	22	,	,	PUNCT
ejpam-2759	126	23	where	where	SCONJ
ejpam-2759	126	24	the	the	DET
ejpam-2759	126	25	terms	term	NOUN
ejpam-2759	126	26	(	(	PUNCT
ejpam-2759	126	27	qi	qi	PROPN
ejpam-2759	126	28	,	,	PUNCT
ejpam-2759	126	29	n)1≤i≤ns	n)1≤i≤ns	PROPN
ejpam-2759	126	30	,	,	PUNCT
ejpam-2759	126	31	(	(	PUNCT
ejpam-2759	126	32	pi	pi	NOUN
ejpam-2759	126	33	,	,	PUNCT
ejpam-2759	126	34	n)1≤i≤ns	n)1≤i≤ns	PROPN
ejpam-2759	126	35	are	be	AUX
ejpam-2759	126	36	uniformly	uniformly	ADV
ejpam-2759	126	37	bounded	bound	VERB
ejpam-2759	126	38	by	by	ADP
ejpam-2759	126	39	a	a	DET
ejpam-2759	126	40	constant	constant	ADJ
ejpam-2759	126	41	that	that	SCONJ
ejpam-2759	126	42	not	not	PART
ejpam-2759	126	43	depends	depend	VERB
ejpam-2759	126	44	on	on	ADP
ejpam-2759	126	45	n.	n.	NOUN
ejpam-2759	126	46	then	then	ADV
ejpam-2759	126	47	,	,	PUNCT
ejpam-2759	126	48	the	the	DET
ejpam-2759	126	49	concentrations	concentration	NOUN
ejpam-2759	126	50	(	(	PUNCT
ejpam-2759	126	51	zi	zi	NOUN
ejpam-2759	126	52	,	,	PUNCT
ejpam-2759	126	53	n)1≤i≤ns	n)1≤i≤ns	PROPN
ejpam-2759	126	54	and	and	CCONJ
ejpam-2759	126	55	the	the	DET
ejpam-2759	126	56	potential	potential	NOUN
ejpam-2759	126	57	φn	φn	NOUN
ejpam-2759	126	58	will	will	AUX
ejpam-2759	126	59	satisfy	satisfy	VERB
ejpam-2759	126	60	the	the	DET
ejpam-2759	126	61	following	follow	VERB
ejpam-2759	126	62	system	system	NOUN
ejpam-2759	126	63			PROPN
ejpam-2759	126	64	∂(qi	∂(qi	NOUN
ejpam-2759	126	65	,	,	PUNCT
ejpam-2759	126	66	nzi	nzi	PROPN
ejpam-2759	126	67	,	,	PUNCT
ejpam-2759	126	68	n	n	CCONJ
ejpam-2759	126	69	)	)	PUNCT
ejpam-2759	126	70	∂t	∂t	PROPN
ejpam-2759	126	71	−	−	PROPN
ejpam-2759	126	72	didiv(qi	didiv(qi	PROPN
ejpam-2759	126	73	,	,	PUNCT
ejpam-2759	126	74	n∇zi	n∇zi	NUM
ejpam-2759	126	75	,	,	PUNCT
ejpam-2759	126	76	n	n	CCONJ
ejpam-2759	126	77	)	)	PUNCT
ejpam-2759	127	1	=	=	SYM
ejpam-2759	127	2	sni	sni	PROPN
ejpam-2759	127	3	(	(	PUNCT
ejpam-2759	127	4	zn	zn	PROPN
ejpam-2759	127	5	,	,	PUNCT
ejpam-2759	127	6	φn	φn	NOUN
ejpam-2759	127	7	)	)	PUNCT
ejpam-2759	127	8	in	in	ADP
ejpam-2759	127	9	qt	qt	NOUN
ejpam-2759	127	10	−ε∆φn	−ε∆φn	PROPN
ejpam-2759	127	11	=	=	SYM
ejpam-2759	127	12	f	f	PROPN
ejpam-2759	127	13	(	(	PUNCT
ejpam-2759	127	14	qnzn	qnzn	NOUN
ejpam-2759	127	15	)	)	PUNCT
ejpam-2759	127	16	in	in	ADP
ejpam-2759	127	17	qt	qt	NOUN
ejpam-2759	127	18	∂zi	∂zi	NOUN
ejpam-2759	127	19	,	,	PUNCT
ejpam-2759	127	20	n	n	NOUN
ejpam-2759	127	21	∂υ	∂υ	PROPN
ejpam-2759	127	22	=	=	SYM
ejpam-2759	127	23	0	0	NUM
ejpam-2759	128	1	on	on	ADP
ejpam-2759	128	2	σt	σt	ADP
ejpam-2759	128	3	φn(t	φn(t	NOUN
ejpam-2759	128	4	,	,	PUNCT
ejpam-2759	128	5	x	x	X
ejpam-2759	128	6	)	)	PUNCT
ejpam-2759	128	7	=	=	SYM
ejpam-2759	128	8	0	0	NUM
ejpam-2759	129	1	on	on	ADP
ejpam-2759	129	2	σt	σt	ADP
ejpam-2759	129	3	φn(0	φn(0	PROPN
ejpam-2759	129	4	,	,	PUNCT
ejpam-2759	129	5	x	x	NOUN
ejpam-2759	129	6	)	)	PUNCT
ejpam-2759	129	7	=	=	SYM
ejpam-2759	129	8	φ0(x	φ0(x	X
ejpam-2759	129	9	)	)	PUNCT
ejpam-2759	129	10	on	on	ADP
ejpam-2759	129	11	ω	ω	PROPN
ejpam-2759	129	12	zi	zi	PROPN
ejpam-2759	129	13	,	,	PUNCT
ejpam-2759	129	14	n(0	n(0	PROPN
ejpam-2759	129	15	,	,	PUNCT
ejpam-2759	129	16	x	x	NOUN
ejpam-2759	129	17	)	)	PUNCT
ejpam-2759	129	18	=	=	SYM
ejpam-2759	129	19	zni,0(x	zni,0(x	NUM
ejpam-2759	129	20	)	)	PUNCT
ejpam-2759	129	21	on	on	ADP
ejpam-2759	129	22	ω	ω	PROPN
ejpam-2759	129	23	(	(	PUNCT
ejpam-2759	129	24	7	7	NUM
ejpam-2759	129	25	)	)	PUNCT
ejpam-2759	129	26	n.	n.	NOUN
ejpam-2759	129	27	alaa	alaa	PROPN
ejpam-2759	129	28	,	,	PUNCT
ejpam-2759	129	29	f.	f.	PROPN
ejpam-2759	129	30	aqel	aqel	PROPN
ejpam-2759	129	31	/	/	SYM
ejpam-2759	129	32	eur	eur	PROPN
ejpam-2759	129	33	.	.	PUNCT
ejpam-2759	130	1	j.	j.	PROPN
ejpam-2759	130	2	pure	pure	PROPN
ejpam-2759	130	3	appl	appl	PROPN
ejpam-2759	130	4	.	.	PROPN
ejpam-2759	130	5	math	math	PROPN
ejpam-2759	130	6	,	,	PUNCT
ejpam-2759	130	7	10	10	NUM
ejpam-2759	130	8	(	(	PUNCT
ejpam-2759	130	9	2	2	NUM
ejpam-2759	130	10	)	)	PUNCT
ejpam-2759	130	11	(	(	PUNCT
ejpam-2759	130	12	2017	2017	NUM
ejpam-2759	130	13	)	)	PUNCT
ejpam-2759	130	14	,	,	PUNCT
ejpam-2759	130	15	272	272	NUM
ejpam-2759	130	16	-	-	SYM
ejpam-2759	130	17	294	294	NUM
ejpam-2759	130	18	278	278	NUM
ejpam-2759	130	19	where	where	SCONJ
ejpam-2759	130	20	sni	sni	PROPN
ejpam-2759	130	21	=	=	PUNCT
ejpam-2759	130	22	tnoŝi	tnoŝi	ADJ
ejpam-2759	130	23	and	and	CCONJ
ejpam-2759	130	24	the	the	DET
ejpam-2759	130	25	nonlinearities	nonlinearitie	NOUN
ejpam-2759	130	26	ŝni	ŝni	PRON
ejpam-2759	130	27	are	be	AUX
ejpam-2759	130	28	defined	define	VERB
ejpam-2759	130	29	in	in	ADP
ejpam-2759	130	30	rns	rn	NOUN
ejpam-2759	130	31	by	by	ADP
ejpam-2759	130	32	ŝi(r	ŝi(r	PROPN
ejpam-2759	130	33	)	)	PUNCT
ejpam-2759	131	1	=	=	SYM
ejpam-2759	131	2	ŝi(r1	ŝi(r1	PROPN
ejpam-2759	131	3	,	,	PUNCT
ejpam-2759	131	4	r2	r2	PROPN
ejpam-2759	131	5	,	,	PUNCT
ejpam-2759	131	6	..	..	PUNCT
ejpam-2759	131	7	,	,	PUNCT
ejpam-2759	131	8	rns	rn	NOUN
ejpam-2759	131	9	)	)	PUNCT
ejpam-2759	131	10	=	=	PRON
ejpam-2759	131	11	{	{	PUNCT
ejpam-2759	131	12	si(r1	si(r1	PROPN
ejpam-2759	131	13	,	,	PUNCT
ejpam-2759	131	14	r2	r2	PROPN
ejpam-2759	131	15	,	,	PUNCT
ejpam-2759	131	16	...	...	PUNCT
ejpam-2759	131	17	,	,	PUNCT
ejpam-2759	131	18	rns	rn	NOUN
ejpam-2759	131	19	)	)	PUNCT
ejpam-2759	131	20	if	if	SCONJ
ejpam-2759	131	21	(	(	PUNCT
ejpam-2759	131	22	r1	r1	NOUN
ejpam-2759	131	23	,	,	PUNCT
ejpam-2759	131	24	r2	r2	PROPN
ejpam-2759	131	25	,	,	PUNCT
ejpam-2759	131	26	...	...	PUNCT
ejpam-2759	131	27	,	,	PUNCT
ejpam-2759	131	28	rns	rns	PROPN
ejpam-2759	131	29	)	)	PUNCT
ejpam-2759	131	30	∈	∈	PROPN
ejpam-2759	132	1	[	[	X
ejpam-2759	132	2	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	132	3	si(r1	si(r1	NOUN
ejpam-2759	132	4	,	,	PUNCT
ejpam-2759	132	5	...	...	PUNCT
ejpam-2759	132	6	,	,	PUNCT
ejpam-2759	132	7	rj−1	rj−1	NOUN
ejpam-2759	132	8	,	,	PUNCT
ejpam-2759	132	9	0	0	NUM
ejpam-2759	132	10	,	,	PUNCT
ejpam-2759	132	11	rj+1	rj+1	NOUN
ejpam-2759	132	12	,	,	PUNCT
ejpam-2759	132	13	...	...	PUNCT
ejpam-2759	132	14	,	,	PUNCT
ejpam-2759	132	15	rm	rm	PROPN
ejpam-2759	132	16	)	)	PUNCT
ejpam-2759	132	17	if	if	SCONJ
ejpam-2759	132	18	rj	rj	PROPN
ejpam-2759	132	19	≤	≤	PROPN
ejpam-2759	132	20	0	0	NUM
ejpam-2759	132	21	.	.	PUNCT
ejpam-2759	133	1	(	(	PUNCT
ejpam-2759	133	2	8)	8)	NUM
ejpam-2759	133	3	now	now	ADV
ejpam-2759	133	4	,	,	PUNCT
ejpam-2759	133	5	we	we	PRON
ejpam-2759	133	6	introduce	introduce	VERB
ejpam-2759	133	7	the	the	DET
ejpam-2759	133	8	function	function	NOUN
ejpam-2759	133	9	sign−	sign−	NOUN
ejpam-2759	133	10	defined	define	VERB
ejpam-2759	133	11	on	on	ADP
ejpam-2759	133	12	r	r	NOUN
ejpam-2759	133	13	by	by	ADP
ejpam-2759	133	14	sign−r	sign−r	PROPN
ejpam-2759	133	15	=	=	SYM
ejpam-2759	133	16	{	{	PUNCT
ejpam-2759	133	17	−1	−1	NOUN
ejpam-2759	133	18	if	if	SCONJ
ejpam-2759	133	19	r	r	NOUN
ejpam-2759	133	20	<	<	X
ejpam-2759	133	21	0	0	NUM
ejpam-2759	133	22	0	0	PUNCT
ejpam-2759	134	1	if	if	SCONJ
ejpam-2759	134	2	r	r	NOUN
ejpam-2759	134	3	≥	≥	NOUN
ejpam-2759	134	4	0	0	NUM
ejpam-2759	134	5	as	as	SCONJ
ejpam-2759	134	6	sign−	sign−	PROPN
ejpam-2759	134	7	is	be	AUX
ejpam-2759	134	8	an	an	DET
ejpam-2759	134	9	increasing	increase	VERB
ejpam-2759	134	10	function	function	NOUN
ejpam-2759	134	11	,	,	PUNCT
ejpam-2759	134	12	we	we	PRON
ejpam-2759	134	13	consider	consider	VERB
ejpam-2759	134	14	the	the	DET
ejpam-2759	134	15	convex	convex	NOUN
ejpam-2759	134	16	function	function	NOUN
ejpam-2759	134	17	jε	jε	PROPN
ejpam-2759	134	18	∈	∈	PROPN
ejpam-2759	134	19	c2(r	c2(r	NOUN
ejpam-2759	134	20	)	)	PUNCT
ejpam-2759	134	21	such	such	ADJ
ejpam-2759	134	22	that	that	SCONJ
ejpam-2759	134	23	j	j	PROPN
ejpam-2759	134	24	′	′	NUM
ejpam-2759	134	25	ε(r)→	ε(r)→	VERB
ejpam-2759	134	26	sign−r	sign−r	NOUN
ejpam-2759	134	27	when	when	SCONJ
ejpam-2759	134	28	ε→	ε→	X
ejpam-2759	134	29	0	0	X
ejpam-2759	135	1	also	also	ADV
ejpam-2759	135	2	we	we	PRON
ejpam-2759	135	3	put	put	VERB
ejpam-2759	135	4	v	v	NOUN
ejpam-2759	135	5	=	=	SYM
ejpam-2759	135	6	j	j	PROPN
ejpam-2759	135	7	′	′	NUM
ejpam-2759	135	8	ε(zi	ε(zi	NOUN
ejpam-2759	135	9	)	)	PUNCT
ejpam-2759	135	10	as	as	ADP
ejpam-2759	135	11	a	a	DET
ejpam-2759	135	12	test	test	NOUN
ejpam-2759	135	13	function	function	NOUN
ejpam-2759	135	14	in	in	ADP
ejpam-2759	135	15	(	(	PUNCT
ejpam-2759	135	16	7	7	NUM
ejpam-2759	135	17	)	)	PUNCT
ejpam-2759	135	18	,	,	PUNCT
ejpam-2759	135	19	then	then	ADV
ejpam-2759	135	20	we	we	PRON
ejpam-2759	135	21	have∫	have∫	VERB
ejpam-2759	135	22	t	t	PROPN
ejpam-2759	135	23	0	0	NUM
ejpam-2759	135	24	∫	∫	PROPN
ejpam-2759	135	25	ω	ω	PROPN
ejpam-2759	135	26	∂(qi	∂(qi	PROPN
ejpam-2759	135	27	,	,	PUNCT
ejpam-2759	135	28	nzi	nzi	PROPN
ejpam-2759	135	29	,	,	PUNCT
ejpam-2759	135	30	n	n	CCONJ
ejpam-2759	135	31	)	)	PUNCT
ejpam-2759	136	1	∂t	∂t	PROPN
ejpam-2759	136	2	j	j	PROPN
ejpam-2759	136	3	′	′	NUM
ejpam-2759	136	4	ε(zi	ε(zi	PROPN
ejpam-2759	136	5	,	,	PUNCT
ejpam-2759	136	6	n	n	CCONJ
ejpam-2759	136	7	)	)	PUNCT
ejpam-2759	136	8	=	=	SYM
ejpam-2759	137	1	−di	−di	PROPN
ejpam-2759	137	2	∫	∫	PROPN
ejpam-2759	137	3	t	t	PROPN
ejpam-2759	137	4	0	0	NUM
ejpam-2759	138	1	∫	∫	PROPN
ejpam-2759	139	1	ω	ω	PROPN
ejpam-2759	140	1	qi	qi	PROPN
ejpam-2759	140	2	,	,	PUNCT
ejpam-2759	140	3	n∇zi	n∇zi	NUM
ejpam-2759	140	4	,	,	PUNCT
ejpam-2759	140	5	n∇(j	n∇(j	NOUN
ejpam-2759	140	6	′	′	NUM
ejpam-2759	140	7	ε(zi	ε(zi	NOUN
ejpam-2759	140	8	,	,	PUNCT
ejpam-2759	140	9	n	n	CCONJ
ejpam-2759	140	10	)	)	PUNCT
ejpam-2759	140	11	)	)	PUNCT
ejpam-2759	141	1	+	+	CCONJ
ejpam-2759	141	2	∫	∫	PROPN
ejpam-2759	141	3	t	t	PROPN
ejpam-2759	141	4	0	0	NUM
ejpam-2759	141	5	∫	∫	PROPN
ejpam-2759	141	6	ω	ω	PROPN
ejpam-2759	141	7	sni	sni	PROPN
ejpam-2759	141	8	(	(	PUNCT
ejpam-2759	141	9	zn	zn	PROPN
ejpam-2759	141	10	,	,	PUNCT
ejpam-2759	141	11	φn)j	φn)j	PROPN
ejpam-2759	141	12	′	′	NUM
ejpam-2759	141	13	ε(zi	ε(zi	NOUN
ejpam-2759	141	14	,	,	PUNCT
ejpam-2759	141	15	n	n	CCONJ
ejpam-2759	141	16	)	)	PUNCT
ejpam-2759	141	17	we	we	PRON
ejpam-2759	141	18	denote	denote	VERB
ejpam-2759	141	19	by	by	ADP
ejpam-2759	141	20	i1	i1	PROPN
ejpam-2759	141	21	and	and	CCONJ
ejpam-2759	141	22	i2	i2	PROPN
ejpam-2759	141	23	the	the	DET
ejpam-2759	141	24	two	two	NUM
ejpam-2759	141	25	members	member	NOUN
ejpam-2759	141	26	in	in	ADP
ejpam-2759	141	27	the	the	DET
ejpam-2759	141	28	right	right	ADJ
ejpam-2759	141	29	side	side	NOUN
ejpam-2759	141	30	of	of	ADP
ejpam-2759	141	31	previous	previous	ADJ
ejpam-2759	141	32	equality	equality	NOUN
ejpam-2759	141	33	,	,	PUNCT
ejpam-2759	141	34	and	and	CCONJ
ejpam-2759	141	35	by	by	ADP
ejpam-2759	141	36	using	use	VERB
ejpam-2759	141	37	the	the	DET
ejpam-2759	141	38	convexity	convexity	NOUN
ejpam-2759	141	39	of	of	ADP
ejpam-2759	141	40	the	the	DET
ejpam-2759	141	41	function	function	NOUN
ejpam-2759	141	42	jε	jε	NOUN
ejpam-2759	141	43	,	,	PUNCT
ejpam-2759	141	44	we	we	PRON
ejpam-2759	141	45	deduce	deduce	VERB
ejpam-2759	141	46	that	that	DET
ejpam-2759	141	47	i1	i1	PROPN
ejpam-2759	141	48	=	=	PUNCT
ejpam-2759	142	1	−di	−di	PROPN
ejpam-2759	142	2	∫	∫	PROPN
ejpam-2759	142	3	t	t	PROPN
ejpam-2759	142	4	0	0	NUM
ejpam-2759	142	5	∫	∫	PROPN
ejpam-2759	142	6	ω	ω	PROPN
ejpam-2759	142	7	qi	qi	PROPN
ejpam-2759	142	8	,	,	PUNCT
ejpam-2759	142	9	n∇zi	n∇zi	NUM
ejpam-2759	142	10	,	,	PUNCT
ejpam-2759	142	11	n∇(j	n∇(j	NOUN
ejpam-2759	142	12	′	′	NUM
ejpam-2759	142	13	ε(zi	ε(zi	NOUN
ejpam-2759	142	14	,	,	PUNCT
ejpam-2759	142	15	n	n	CCONJ
ejpam-2759	142	16	)	)	PUNCT
ejpam-2759	142	17	)	)	PUNCT
ejpam-2759	143	1	=	=	PUNCT
ejpam-2759	144	1	−di	−di	NOUN
ejpam-2759	144	2	∫	∫	PROPN
ejpam-2759	144	3	t	t	PROPN
ejpam-2759	144	4	0	0	NUM
ejpam-2759	145	1	∫	∫	PROPN
ejpam-2759	146	1	ω	ω	PROPN
ejpam-2759	147	1	qi	qi	PROPN
ejpam-2759	147	2	,	,	PUNCT
ejpam-2759	147	3	n|∇zi	n|∇zi	PRON
ejpam-2759	147	4	,	,	PUNCT
ejpam-2759	147	5	n|2j	n|2j	PROPN
ejpam-2759	147	6	”	"	PUNCT
ejpam-2759	147	7	ε	ε	PROPN
ejpam-2759	147	8	(	(	PUNCT
ejpam-2759	147	9	zi	zi	PROPN
ejpam-2759	147	10	,	,	PUNCT
ejpam-2759	147	11	n	n	CCONJ
ejpam-2759	147	12	)	)	PUNCT
ejpam-2759	147	13	≤	≤	NUM
ejpam-2759	147	14	0	0	NUM
ejpam-2759	147	15	.	.	PUNCT
ejpam-2759	148	1	concerning	concern	VERB
ejpam-2759	148	2	the	the	DET
ejpam-2759	148	3	second	second	ADJ
ejpam-2759	148	4	member	member	NOUN
ejpam-2759	148	5	i2	i2	PROPN
ejpam-2759	148	6	,	,	PUNCT
ejpam-2759	148	7	we	we	PRON
ejpam-2759	148	8	define	define	VERB
ejpam-2759	148	9	the	the	DET
ejpam-2759	148	10	second	second	ADJ
ejpam-2759	148	11	term	term	NOUN
ejpam-2759	148	12	i2	i2	PROPN
ejpam-2759	148	13	,	,	PUNCT
ejpam-2759	148	14	then	then	ADV
ejpam-2759	148	15	,	,	PUNCT
ejpam-2759	148	16	we	we	PRON
ejpam-2759	148	17	deduce	deduce	VERB
ejpam-2759	148	18	lim	lim	PROPN
ejpam-2759	148	19	ε→0	ε→0	PROPN
ejpam-2759	148	20	i2	i2	PROPN
ejpam-2759	148	21	=	=	PROPN
ejpam-2759	148	22	lim	lim	PROPN
ejpam-2759	148	23	ε→0	ε→0	X
ejpam-2759	149	1	∫	∫	PROPN
ejpam-2759	149	2	t	t	PROPN
ejpam-2759	149	3	0	0	NUM
ejpam-2759	149	4	∫	∫	PROPN
ejpam-2759	149	5	ω	ω	PROPN
ejpam-2759	149	6	sni	sni	PROPN
ejpam-2759	149	7	(	(	PUNCT
ejpam-2759	149	8	zn	zn	PROPN
ejpam-2759	149	9	,	,	PUNCT
ejpam-2759	149	10	φn)j	φn)j	PROPN
ejpam-2759	149	11	′	′	NUM
ejpam-2759	149	12	ε(zi	ε(zi	NOUN
ejpam-2759	149	13	,	,	PUNCT
ejpam-2759	149	14	n	n	CCONJ
ejpam-2759	149	15	)	)	PUNCT
ejpam-2759	150	1	=	=	SYM
ejpam-2759	150	2	lim	lim	PROPN
ejpam-2759	150	3	ε→0	ε→0	X
ejpam-2759	150	4	∫	∫	PROPN
ejpam-2759	151	1	[	[	X
ejpam-2759	151	2	zi	zi	NOUN
ejpam-2759	151	3	,	,	PUNCT
ejpam-2759	151	4	n≥0	n≥0	PROPN
ejpam-2759	151	5	]	]	X
ejpam-2759	151	6	sni	sni	PROPN
ejpam-2759	151	7	(	(	PUNCT
ejpam-2759	151	8	zn	zn	PROPN
ejpam-2759	151	9	,	,	PUNCT
ejpam-2759	151	10	φn)j	φn)j	PROPN
ejpam-2759	151	11	′	′	NUM
ejpam-2759	151	12	ε(zi	ε(zi	NOUN
ejpam-2759	151	13	,	,	PUNCT
ejpam-2759	151	14	n	n	CCONJ
ejpam-2759	151	15	)	)	PUNCT
ejpam-2759	152	1	+	+	CCONJ
ejpam-2759	152	2	lim	lim	PROPN
ejpam-2759	152	3	ε→0	ε→0	X
ejpam-2759	152	4	∫	∫	PROPN
ejpam-2759	153	1	[	[	X
ejpam-2759	153	2	zi	zi	NOUN
ejpam-2759	153	3	,	,	PUNCT
ejpam-2759	153	4	n<0	n<0	PROPN
ejpam-2759	153	5	]	]	X
ejpam-2759	153	6	sni	sni	PROPN
ejpam-2759	153	7	(	(	PUNCT
ejpam-2759	153	8	zn	zn	PROPN
ejpam-2759	153	9	,	,	PUNCT
ejpam-2759	153	10	φn)j	φn)j	PROPN
ejpam-2759	153	11	′	′	NUM
ejpam-2759	153	12	ε(zi	ε(zi	NOUN
ejpam-2759	153	13	,	,	PUNCT
ejpam-2759	153	14	n	n	CCONJ
ejpam-2759	153	15	)	)	PUNCT
ejpam-2759	153	16	=	=	SYM
ejpam-2759	153	17	lim	lim	PROPN
ejpam-2759	153	18	ε→0	ε→0	X
ejpam-2759	153	19	∫	∫	PROPN
ejpam-2759	154	1	[	[	X
ejpam-2759	154	2	zi	zi	NOUN
ejpam-2759	154	3	,	,	PUNCT
ejpam-2759	154	4	n<0	n<0	PROPN
ejpam-2759	154	5	]	]	X
ejpam-2759	154	6	sni	sni	PROPN
ejpam-2759	154	7	(	(	PUNCT
ejpam-2759	154	8	zn	zn	PROPN
ejpam-2759	154	9	,	,	PUNCT
ejpam-2759	154	10	φn)j	φn)j	PROPN
ejpam-2759	154	11	′	′	NUM
ejpam-2759	154	12	ε(zi	ε(zi	NOUN
ejpam-2759	154	13	,	,	PUNCT
ejpam-2759	154	14	n	n	CCONJ
ejpam-2759	154	15	)	)	PUNCT
ejpam-2759	154	16	.	.	PUNCT
ejpam-2759	155	1	by	by	ADP
ejpam-2759	155	2	using	use	VERB
ejpam-2759	155	3	(	(	PUNCT
ejpam-2759	155	4	h1	h1	PROPN
ejpam-2759	155	5	)	)	PUNCT
ejpam-2759	155	6	,	,	PUNCT
ejpam-2759	155	7	we	we	PRON
ejpam-2759	155	8	have	have	VERB
ejpam-2759	155	9	lim	lim	NOUN
ejpam-2759	155	10	ε→0	ε→0	PROPN
ejpam-2759	155	11	i2	i2	PROPN
ejpam-2759	155	12	=	=	PUNCT
ejpam-2759	156	1	−	−	PROPN
ejpam-2759	156	2	∫	∫	PROPN
ejpam-2759	157	1	[	[	X
ejpam-2759	157	2	zi	zi	NOUN
ejpam-2759	157	3	,	,	PUNCT
ejpam-2759	157	4	n<0	n<0	PROPN
ejpam-2759	157	5	]	]	X
ejpam-2759	157	6	sni	sni	PROPN
ejpam-2759	157	7	(	(	PUNCT
ejpam-2759	157	8	zn	zn	PROPN
ejpam-2759	157	9	,	,	PUNCT
ejpam-2759	157	10	φn	φn	PROPN
ejpam-2759	157	11	)	)	PUNCT
ejpam-2759	157	12	=	=	PUNCT
ejpam-2759	158	1	−	−	PROPN
ejpam-2759	158	2	∫	∫	PROPN
ejpam-2759	158	3	[	[	X
ejpam-2759	158	4	zi	zi	NOUN
ejpam-2759	158	5	,	,	PUNCT
ejpam-2759	158	6	n<0	n<0	PROPN
ejpam-2759	158	7	]	]	PUNCT
ejpam-2759	158	8	tn(si(z1,n	tn(si(z1,n	NOUN
ejpam-2759	158	9	,	,	PUNCT
ejpam-2759	158	10	...	...	PUNCT
ejpam-2759	158	11	,	,	PUNCT
ejpam-2759	158	12	zi−1,n	zi−1,n	NOUN
ejpam-2759	158	13	,	,	PUNCT
ejpam-2759	158	14	0	0	NUM
ejpam-2759	158	15	,	,	PUNCT
ejpam-2759	158	16	zi+1,n	zi+1,n	PROPN
ejpam-2759	158	17	,	,	PUNCT
ejpam-2759	158	18	...	...	PUNCT
ejpam-2759	158	19	,	,	PUNCT
ejpam-2759	158	20	zns	zns	NOUN
ejpam-2759	158	21	,	,	PUNCT
ejpam-2759	158	22	n	n	CCONJ
ejpam-2759	158	23	,	,	PUNCT
ejpam-2759	158	24	φ	φ	NOUN
ejpam-2759	158	25	)	)	PUNCT
ejpam-2759	158	26	)	)	PUNCT
ejpam-2759	158	27	≤	≤	NOUN
ejpam-2759	158	28	0	0	PUNCT
ejpam-2759	159	1	then	then	ADV
ejpam-2759	159	2	,	,	PUNCT
ejpam-2759	159	3	we	we	PRON
ejpam-2759	159	4	obtain	obtain	VERB
ejpam-2759	159	5	lim	lim	PROPN
ejpam-2759	159	6	ε→0	ε→0	PROPN
ejpam-2759	159	7	∫	∫	PROPN
ejpam-2759	159	8	t	t	PROPN
ejpam-2759	159	9	0	0	NUM
ejpam-2759	159	10	∫	∫	PROPN
ejpam-2759	159	11	ω	ω	PROPN
ejpam-2759	159	12	∂(qi	∂(qi	PROPN
ejpam-2759	159	13	,	,	PUNCT
ejpam-2759	159	14	nzi	nzi	PROPN
ejpam-2759	159	15	,	,	PUNCT
ejpam-2759	159	16	n	n	CCONJ
ejpam-2759	159	17	)	)	PUNCT
ejpam-2759	160	1	∂t	∂t	PROPN
ejpam-2759	160	2	j	j	PROPN
ejpam-2759	160	3	′	′	NUM
ejpam-2759	160	4	ε(zi	ε(zi	PROPN
ejpam-2759	160	5	,	,	PUNCT
ejpam-2759	160	6	n	n	CCONJ
ejpam-2759	160	7	)	)	PUNCT
ejpam-2759	160	8	≤	≤	NOUN
ejpam-2759	160	9	0	0	NUM
ejpam-2759	161	1	n.	n.	PROPN
ejpam-2759	161	2	alaa	alaa	PROPN
ejpam-2759	161	3	,	,	PUNCT
ejpam-2759	161	4	f.	f.	PROPN
ejpam-2759	161	5	aqel	aqel	PROPN
ejpam-2759	161	6	/	/	SYM
ejpam-2759	161	7	eur	eur	PROPN
ejpam-2759	161	8	.	.	PUNCT
ejpam-2759	162	1	j.	j.	PROPN
ejpam-2759	162	2	pure	pure	PROPN
ejpam-2759	162	3	appl	appl	PROPN
ejpam-2759	162	4	.	.	PROPN
ejpam-2759	162	5	math	math	PROPN
ejpam-2759	162	6	,	,	PUNCT
ejpam-2759	162	7	10	10	NUM
ejpam-2759	162	8	(	(	PUNCT
ejpam-2759	162	9	2	2	NUM
ejpam-2759	162	10	)	)	PUNCT
ejpam-2759	162	11	(	(	PUNCT
ejpam-2759	162	12	2017	2017	NUM
ejpam-2759	162	13	)	)	PUNCT
ejpam-2759	162	14	,	,	PUNCT
ejpam-2759	162	15	272	272	NUM
ejpam-2759	162	16	-	-	SYM
ejpam-2759	162	17	294	294	NUM
ejpam-2759	162	18	279	279	NUM
ejpam-2759	162	19	which	which	PRON
ejpam-2759	162	20	means	mean	VERB
ejpam-2759	162	21	that	that	SCONJ
ejpam-2759	162	22	by	by	ADP
ejpam-2759	162	23	passing	pass	VERB
ejpam-2759	162	24	to	to	ADP
ejpam-2759	162	25	the	the	DET
ejpam-2759	162	26	limit	limit	NOUN
ejpam-2759	162	27	,	,	PUNCT
ejpam-2759	162	28	we	we	PRON
ejpam-2759	162	29	obtain∫	obtain∫	VERB
ejpam-2759	162	30	t	t	PROPN
ejpam-2759	162	31	0	0	NUM
ejpam-2759	162	32	∫	∫	PROPN
ejpam-2759	162	33	ω	ω	PROPN
ejpam-2759	162	34	∂(qi	∂(qi	PROPN
ejpam-2759	162	35	,	,	PUNCT
ejpam-2759	162	36	nzi	nzi	PROPN
ejpam-2759	162	37	,	,	PUNCT
ejpam-2759	162	38	n	n	CCONJ
ejpam-2759	162	39	)	)	PUNCT
ejpam-2759	162	40	∂t	∂t	PROPN
ejpam-2759	162	41	sign−(zi	sign−(zi	PROPN
ejpam-2759	162	42	,	,	PUNCT
ejpam-2759	162	43	n	n	CCONJ
ejpam-2759	162	44	)	)	PUNCT
ejpam-2759	162	45	≤	≤	NOUN
ejpam-2759	162	46	0	0	NUM
ejpam-2759	163	1	therefore	therefore	ADV
ejpam-2759	163	2	∫	∫	PROPN
ejpam-2759	163	3	t	t	PROPN
ejpam-2759	163	4	0	0	NUM
ejpam-2759	163	5	∫	∫	PROPN
ejpam-2759	163	6	ω	ω	PROPN
ejpam-2759	163	7	∂(qi	∂(qi	PROPN
ejpam-2759	163	8	,	,	PUNCT
ejpam-2759	163	9	nzi	nzi	PROPN
ejpam-2759	163	10	,	,	PUNCT
ejpam-2759	163	11	n)−	n)−	PROPN
ejpam-2759	163	12	∂t	∂t	PROPN
ejpam-2759	164	1	≤	≤	ADV
ejpam-2759	164	2	0	0	NUM
ejpam-2759	165	1	this	this	PRON
ejpam-2759	165	2	implies	imply	VERB
ejpam-2759	165	3	the	the	DET
ejpam-2759	165	4	following	follow	VERB
ejpam-2759	165	5	inequality∫	inequality∫	ADJ
ejpam-2759	165	6	ω	ω	NOUN
ejpam-2759	165	7	(	(	PUNCT
ejpam-2759	165	8	qi	qi	PROPN
ejpam-2759	165	9	,	,	PUNCT
ejpam-2759	165	10	nzi	nzi	NOUN
ejpam-2759	165	11	,	,	PUNCT
ejpam-2759	165	12	n)−(t	n)−(t	ADV
ejpam-2759	165	13	,	,	PUNCT
ejpam-2759	165	14	x	x	NOUN
ejpam-2759	165	15	)	)	PUNCT
ejpam-2759	165	16	≤	≤	NUM
ejpam-2759	165	17	∫	∫	PROPN
ejpam-2759	165	18	ω	ω	PROPN
ejpam-2759	165	19	(	(	PUNCT
ejpam-2759	165	20	qi	qi	PROPN
ejpam-2759	165	21	,	,	PUNCT
ejpam-2759	165	22	nzi	nzi	PROPN
ejpam-2759	165	23	,	,	PUNCT
ejpam-2759	165	24	n)−(0	n)−(0	NOUN
ejpam-2759	165	25	,	,	PUNCT
ejpam-2759	165	26	x	x	X
ejpam-2759	165	27	)	)	PUNCT
ejpam-2759	165	28	as	as	ADP
ejpam-2759	165	29	(	(	PUNCT
ejpam-2759	165	30	qi	qi	PROPN
ejpam-2759	165	31	,	,	PUNCT
ejpam-2759	165	32	nzi	nzi	PROPN
ejpam-2759	165	33	,	,	PUNCT
ejpam-2759	165	34	n)(0	n)(0	NUM
ejpam-2759	165	35	,	,	PUNCT
ejpam-2759	165	36	x	x	X
ejpam-2759	165	37	)	)	PUNCT
ejpam-2759	165	38	≥	≥	NOUN
ejpam-2759	165	39	0	0	NUM
ejpam-2759	165	40	for	for	ADP
ejpam-2759	165	41	almost	almost	ADV
ejpam-2759	165	42	everywhere	everywhere	ADV
ejpam-2759	165	43	then	then	ADV
ejpam-2759	165	44	we	we	PRON
ejpam-2759	165	45	deduce∫	deduce∫	VERB
ejpam-2759	165	46	ω	ω	PROPN
ejpam-2759	165	47	(	(	PUNCT
ejpam-2759	165	48	qi	qi	PROPN
ejpam-2759	165	49	,	,	PUNCT
ejpam-2759	165	50	nzi	nzi	NOUN
ejpam-2759	165	51	,	,	PUNCT
ejpam-2759	165	52	n)−(t	n)−(t	ADV
ejpam-2759	165	53	,	,	PUNCT
ejpam-2759	165	54	x	x	NOUN
ejpam-2759	165	55	)	)	PUNCT
ejpam-2759	165	56	≤	≤	NUM
ejpam-2759	165	57	0	0	NUM
ejpam-2759	165	58	.	.	PUNCT
ejpam-2759	166	1	finally	finally	ADV
ejpam-2759	166	2	(	(	PUNCT
ejpam-2759	166	3	qi	qi	PROPN
ejpam-2759	166	4	,	,	PUNCT
ejpam-2759	166	5	nzi	nzi	NOUN
ejpam-2759	166	6	,	,	PUNCT
ejpam-2759	166	7	n)−(t	n)−(t	ADV
ejpam-2759	166	8	,	,	PUNCT
ejpam-2759	166	9	x	x	NOUN
ejpam-2759	166	10	)	)	PUNCT
ejpam-2759	166	11	=	=	SYM
ejpam-2759	166	12	0	0	PUNCT
ejpam-2759	166	13	and	and	CCONJ
ejpam-2759	166	14	then	then	ADV
ejpam-2759	166	15	zi	zi	PROPN
ejpam-2759	166	16	,	,	PUNCT
ejpam-2759	166	17	n	n	X
ejpam-2759	166	18	≥	≥	NOUN
ejpam-2759	166	19	0	0	NUM
ejpam-2759	166	20	,	,	PUNCT
ejpam-2759	166	21	for	for	ADP
ejpam-2759	166	22	all	all	DET
ejpam-2759	166	23	i	i	PRON
ejpam-2759	166	24	=	=	NOUN
ejpam-2759	166	25	1	1	NUM
ejpam-2759	166	26	,	,	PUNCT
ejpam-2759	166	27	...	...	PUNCT
ejpam-2759	166	28	,	,	PUNCT
ejpam-2759	166	29	ns	ns	X
ejpam-2759	166	30	.	.	NOUN
ejpam-2759	166	31	3.1.1	3.1.1	NUM
ejpam-2759	166	32	.	.	PUNCT
ejpam-2759	167	1	a	a	DET
ejpam-2759	167	2	priori	priori	ADJ
ejpam-2759	167	3	estimate	estimate	NOUN
ejpam-2759	167	4	first	first	ADV
ejpam-2759	167	5	,	,	PUNCT
ejpam-2759	167	6	we	we	PRON
ejpam-2759	167	7	start	start	VERB
ejpam-2759	167	8	by	by	ADP
ejpam-2759	167	9	proving	prove	VERB
ejpam-2759	167	10	the	the	DET
ejpam-2759	167	11	following	follow	VERB
ejpam-2759	167	12	lemmas	lemmas	ADJ
ejpam-2759	167	13	,	,	PUNCT
ejpam-2759	167	14	where	where	SCONJ
ejpam-2759	167	15	we	we	PRON
ejpam-2759	167	16	are	be	AUX
ejpam-2759	167	17	going	go	VERB
ejpam-2759	167	18	to	to	PART
ejpam-2759	167	19	use	use	VERB
ejpam-2759	167	20	the	the	DET
ejpam-2759	167	21	fact	fact	NOUN
ejpam-2759	167	22	that	that	SCONJ
ejpam-2759	167	23	ωi	ωi	PROPN
ejpam-2759	167	24	,	,	PUNCT
ejpam-2759	167	25	n	n	PROPN
ejpam-2759	167	26	=	=	SYM
ejpam-2759	167	27	qi	qi	PROPN
ejpam-2759	167	28	,	,	PUNCT
ejpam-2759	167	29	nzi	nzi	PROPN
ejpam-2759	167	30	,	,	PUNCT
ejpam-2759	167	31	n.	n.	PROPN
ejpam-2759	167	32	lemma	lemma	PROPN
ejpam-2759	167	33	1	1	X
ejpam-2759	167	34	.	.	PUNCT
ejpam-2759	167	35	assume	assume	VERB
ejpam-2759	167	36	that	that	SCONJ
ejpam-2759	167	37	(	(	PUNCT
ejpam-2759	167	38	h2	h2	NOUN
ejpam-2759	167	39	)	)	PUNCT
ejpam-2759	167	40	and	and	CCONJ
ejpam-2759	167	41	(	(	PUNCT
ejpam-2759	167	42	7	7	X
ejpam-2759	167	43	)	)	PUNCT
ejpam-2759	167	44	are	be	AUX
ejpam-2759	167	45	satisfied	satisfied	ADJ
ejpam-2759	167	46	.	.	PUNCT
ejpam-2759	168	1	then	then	ADV
ejpam-2759	168	2	we	we	PRON
ejpam-2759	168	3	have	have	VERB
ejpam-2759	168	4	the	the	DET
ejpam-2759	168	5	following	follow	VERB
ejpam-2759	168	6	result∫	result∫	VERB
ejpam-2759	168	7	ω	ω	PROPN
ejpam-2759	168	8	∑	∑	PROPN
ejpam-2759	168	9	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	168	10	(	(	PUNCT
ejpam-2759	168	11	qi	qi	PROPN
ejpam-2759	168	12	,	,	PUNCT
ejpam-2759	168	13	nzi	nzi	PROPN
ejpam-2759	168	14	,	,	PUNCT
ejpam-2759	168	15	n)(t	n)(t	NUM
ejpam-2759	168	16	)	)	PUNCT
ejpam-2759	168	17	≤	≤	NOUN
ejpam-2759	168	18	etc	etc	X
ejpam-2759	168	19	∫	∫	PROPN
ejpam-2759	168	20	ω	ω	PROPN
ejpam-2759	168	21	∑	∑	PROPN
ejpam-2759	168	22	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	168	23	(	(	PUNCT
ejpam-2759	168	24	qi,0zi,0	qi,0zi,0	NOUN
ejpam-2759	168	25	)	)	PUNCT
ejpam-2759	169	1	+	+	CCONJ
ejpam-2759	169	2	k(etc	k(etc	NOUN
ejpam-2759	169	3	−	−	PROPN
ejpam-2759	169	4	1	1	NUM
ejpam-2759	169	5	)	)	PUNCT
ejpam-2759	169	6	proof	proof	NOUN
ejpam-2759	169	7	.	.	PUNCT
ejpam-2759	170	1	we	we	PRON
ejpam-2759	170	2	sum	sum	VERB
ejpam-2759	170	3	the	the	DET
ejpam-2759	170	4	ns	ns	NUM
ejpam-2759	170	5	equations	equation	NOUN
ejpam-2759	170	6	.	.	PUNCT
ejpam-2759	171	1	then	then	ADV
ejpam-2759	171	2	,	,	PUNCT
ejpam-2759	171	3	we	we	PRON
ejpam-2759	171	4	have∑	have∑	VERB
ejpam-2759	171	5	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	171	6	∂(qi	∂(qi	NOUN
ejpam-2759	171	7	,	,	PUNCT
ejpam-2759	171	8	nzi	nzi	PROPN
ejpam-2759	171	9	,	,	PUNCT
ejpam-2759	171	10	n	n	CCONJ
ejpam-2759	171	11	)	)	PUNCT
ejpam-2759	171	12	∂t	∂t	PROPN
ejpam-2759	171	13	−	−	PROPN
ejpam-2759	171	14	div	div	PROPN
ejpam-2759	171	15	(	(	PUNCT
ejpam-2759	171	16	∑	∑	PROPN
ejpam-2759	171	17	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	171	18	diqi	diqi	NOUN
ejpam-2759	171	19	,	,	PUNCT
ejpam-2759	171	20	n∇zi	n∇zi	NUM
ejpam-2759	171	21	,	,	PUNCT
ejpam-2759	171	22	n	n	CCONJ
ejpam-2759	171	23	)	)	PUNCT
ejpam-2759	171	24	=	=	PUNCT
ejpam-2759	172	1	∑	∑	PUNCT
ejpam-2759	172	2	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	172	3	sni	sni	PROPN
ejpam-2759	172	4	(	(	PUNCT
ejpam-2759	172	5	qnzn	qnzn	NOUN
ejpam-2759	172	6	)	)	PUNCT
ejpam-2759	172	7	and	and	CCONJ
ejpam-2759	172	8	by	by	ADP
ejpam-2759	172	9	using	use	VERB
ejpam-2759	172	10	(	(	PUNCT
ejpam-2759	172	11	h2	h2	NOUN
ejpam-2759	172	12	)	)	PUNCT
ejpam-2759	172	13	,	,	PUNCT
ejpam-2759	172	14	we	we	PRON
ejpam-2759	172	15	have	have	VERB
ejpam-2759	172	16	the	the	DET
ejpam-2759	172	17	existence	existence	NOUN
ejpam-2759	172	18	of	of	ADP
ejpam-2759	172	19	a	a	DET
ejpam-2759	172	20	positive	positive	ADJ
ejpam-2759	172	21	constant	constant	NOUN
ejpam-2759	172	22	denoted	denote	VERB
ejpam-2759	172	23	by	by	ADP
ejpam-2759	172	24	c	c	PROPN
ejpam-2759	172	25	such	such	ADJ
ejpam-2759	172	26	that∑	that∑	NOUN
ejpam-2759	172	27	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	172	28	∂(qi	∂(qi	NOUN
ejpam-2759	172	29	,	,	PUNCT
ejpam-2759	172	30	nzi	nzi	PROPN
ejpam-2759	172	31	,	,	PUNCT
ejpam-2759	172	32	n	n	CCONJ
ejpam-2759	172	33	)	)	PUNCT
ejpam-2759	172	34	∂t	∂t	PROPN
ejpam-2759	172	35	−	−	PROPN
ejpam-2759	172	36	div	div	PROPN
ejpam-2759	172	37	(	(	PUNCT
ejpam-2759	172	38	∑	∑	PROPN
ejpam-2759	172	39	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	172	40	diqi	diqi	NOUN
ejpam-2759	172	41	,	,	PUNCT
ejpam-2759	172	42	n∇zi	n∇zi	NUM
ejpam-2759	172	43	,	,	PUNCT
ejpam-2759	172	44	n	n	CCONJ
ejpam-2759	172	45	)	)	PUNCT
ejpam-2759	172	46	≤	≤	PROPN
ejpam-2759	172	47	c(1	c(1	PROPN
ejpam-2759	172	48	+	+	CCONJ
ejpam-2759	172	49	∑	∑	PROPN
ejpam-2759	172	50	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	172	51	qi	qi	PROPN
ejpam-2759	172	52	,	,	PUNCT
ejpam-2759	172	53	nzi	nzi	PROPN
ejpam-2759	172	54	,	,	PUNCT
ejpam-2759	172	55	n	n	CCONJ
ejpam-2759	172	56	)	)	PUNCT
ejpam-2759	172	57	now	now	ADV
ejpam-2759	172	58	,	,	PUNCT
ejpam-2759	172	59	we	we	PRON
ejpam-2759	172	60	set	set	VERB
ejpam-2759	172	61	vn(t	vn(t	PUNCT
ejpam-2759	172	62	)	)	PUNCT
ejpam-2759	172	63	=	=	PUNCT
ejpam-2759	173	1	∑	∑	PUNCT
ejpam-2759	173	2	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	173	3	(	(	PUNCT
ejpam-2759	173	4	qi	qi	PROPN
ejpam-2759	173	5	,	,	PUNCT
ejpam-2759	173	6	nzi	nzi	NOUN
ejpam-2759	173	7	,	,	PUNCT
ejpam-2759	173	8	n)(t	n)(t	NUM
ejpam-2759	173	9	)	)	PUNCT
ejpam-2759	173	10	,	,	PUNCT
ejpam-2759	173	11	so	so	CCONJ
ejpam-2759	173	12	by	by	ADP
ejpam-2759	173	13	integrating	integrate	VERB
ejpam-2759	173	14	on	on	ADP
ejpam-2759	173	15	ω	ω	PROPN
ejpam-2759	173	16	,	,	PUNCT
ejpam-2759	173	17	we	we	PRON
ejpam-2759	173	18	obtain	obtain	VERB
ejpam-2759	173	19	∫	∫	PROPN
ejpam-2759	173	20	ω	ω	NUM
ejpam-2759	173	21	∂vn(t	∂vn(t	PROPN
ejpam-2759	173	22	)	)	PUNCT
ejpam-2759	174	1	∂t	∂t	PROPN
ejpam-2759	174	2	−	−	PROPN
ejpam-2759	174	3	∫	∫	PROPN
ejpam-2759	175	1	∂ω	∂ω	PROPN
ejpam-2759	175	2	∑	∑	PROPN
ejpam-2759	175	3	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	175	4	diqi	diqi	NOUN
ejpam-2759	175	5	,	,	PUNCT
ejpam-2759	175	6	n	n	PRON
ejpam-2759	175	7	∂zi	∂zi	NOUN
ejpam-2759	175	8	,	,	PUNCT
ejpam-2759	175	9	n	n	PROPN
ejpam-2759	175	10	∂υ	∂υ	PROPN
ejpam-2759	175	11	≤	≤	NUM
ejpam-2759	176	1	c	c	PROPN
ejpam-2759	176	2	∫	∫	PROPN
ejpam-2759	176	3	ω	ω	PROPN
ejpam-2759	176	4	(	(	PUNCT
ejpam-2759	176	5	1	1	NUM
ejpam-2759	176	6	+	+	CCONJ
ejpam-2759	176	7	vn(t	vn(t	NUM
ejpam-2759	176	8	)	)	PUNCT
ejpam-2759	176	9	)	)	PUNCT
ejpam-2759	177	1	n.	n.	PROPN
ejpam-2759	177	2	alaa	alaa	PROPN
ejpam-2759	177	3	,	,	PUNCT
ejpam-2759	177	4	f.	f.	PROPN
ejpam-2759	177	5	aqel	aqel	PROPN
ejpam-2759	177	6	/	/	SYM
ejpam-2759	177	7	eur	eur	PROPN
ejpam-2759	177	8	.	.	PUNCT
ejpam-2759	178	1	j.	j.	PROPN
ejpam-2759	178	2	pure	pure	PROPN
ejpam-2759	178	3	appl	appl	PROPN
ejpam-2759	178	4	.	.	PROPN
ejpam-2759	178	5	math	math	PROPN
ejpam-2759	178	6	,	,	PUNCT
ejpam-2759	178	7	10	10	NUM
ejpam-2759	178	8	(	(	PUNCT
ejpam-2759	178	9	2	2	NUM
ejpam-2759	178	10	)	)	PUNCT
ejpam-2759	178	11	(	(	PUNCT
ejpam-2759	178	12	2017	2017	NUM
ejpam-2759	178	13	)	)	PUNCT
ejpam-2759	178	14	,	,	PUNCT
ejpam-2759	178	15	272	272	NUM
ejpam-2759	178	16	-	-	SYM
ejpam-2759	178	17	294	294	NUM
ejpam-2759	178	18	280	280	NUM
ejpam-2759	178	19	since	since	SCONJ
ejpam-2759	178	20	∂zi	∂zi	NOUN
ejpam-2759	178	21	,	,	PUNCT
ejpam-2759	178	22	n	n	NOUN
ejpam-2759	178	23	∂υ	∂υ	PROPN
ejpam-2759	178	24	=	=	SYM
ejpam-2759	178	25	0	0	NUM
ejpam-2759	179	1	for	for	ADP
ejpam-2759	179	2	all	all	DET
ejpam-2759	179	3	i	i	PRON
ejpam-2759	179	4	=	=	NOUN
ejpam-2759	179	5	1	1	NUM
ejpam-2759	179	6	,	,	PUNCT
ejpam-2759	179	7	...	...	PUNCT
ejpam-2759	179	8	,	,	PUNCT
ejpam-2759	179	9	ns	ns	INTJ
ejpam-2759	179	10	,	,	PUNCT
ejpam-2759	179	11	we	we	PRON
ejpam-2759	179	12	have∫	have∫	VERB
ejpam-2759	179	13	ω	ω	NUM
ejpam-2759	179	14	∂vn(t	∂vn(t	PROPN
ejpam-2759	179	15	)	)	PUNCT
ejpam-2759	180	1	∂t	∂t	PROPN
ejpam-2759	180	2	≤	≤	PROPN
ejpam-2759	180	3	∫	∫	PROPN
ejpam-2759	180	4	ω	ω	NUM
ejpam-2759	180	5	c[1	c[1	NOUN
ejpam-2759	180	6	+	+	CCONJ
ejpam-2759	180	7	vn(t	vn(t	NOUN
ejpam-2759	180	8	)	)	PUNCT
ejpam-2759	180	9	]	]	PUNCT
ejpam-2759	180	10	here	here	ADV
ejpam-2759	180	11	,	,	PUNCT
ejpam-2759	180	12	we	we	PRON
ejpam-2759	180	13	integrate	integrate	VERB
ejpam-2759	180	14	over	over	ADP
ejpam-2759	180	15	(	(	PUNCT
ejpam-2759	180	16	0	0	NUM
ejpam-2759	180	17	,	,	PUNCT
ejpam-2759	180	18	t	t	PROPN
ejpam-2759	180	19	)	)	PUNCT
ejpam-2759	180	20	,	,	PUNCT
ejpam-2759	180	21	for	for	ADP
ejpam-2759	180	22	each	each	DET
ejpam-2759	180	23	t	t	NOUN
ejpam-2759	180	24	in	in	ADP
ejpam-2759	180	25	the	the	DET
ejpam-2759	180	26	existence	existence	NOUN
ejpam-2759	180	27	interval	interval	NOUN
ejpam-2759	180	28	,	,	PUNCT
ejpam-2759	180	29	we	we	PRON
ejpam-2759	180	30	get∫	get∫	VERB
ejpam-2759	180	31	qt	qt	PROPN
ejpam-2759	180	32	∂	∂	NOUN
ejpam-2759	181	1	∂s	∂s	PROPN
ejpam-2759	181	2	(	(	PUNCT
ejpam-2759	181	3	vn(s)e−sc	vn(s)e−sc	NOUN
ejpam-2759	181	4	)	)	PUNCT
ejpam-2759	181	5	≤	≤	NUM
ejpam-2759	181	6	∫	∫	PROPN
ejpam-2759	182	1	qt	qt	PROPN
ejpam-2759	182	2	ce−sc∫	ce−sc∫	PROPN
ejpam-2759	182	3	ω	ω	PROPN
ejpam-2759	182	4	vn(t)e−tc	vn(t)e−tc	PROPN
ejpam-2759	182	5	≤	≤	NUM
ejpam-2759	182	6	∫	∫	PROPN
ejpam-2759	182	7	ω	ω	PROPN
ejpam-2759	182	8	vn(0	vn(0	PROPN
ejpam-2759	182	9	)	)	PUNCT
ejpam-2759	182	10	+	+	CCONJ
ejpam-2759	182	11	1	1	NUM
ejpam-2759	182	12	c	c	NOUN
ejpam-2759	182	13	∫	∫	PROPN
ejpam-2759	182	14	ω	ω	NUM
ejpam-2759	182	15	c(1−	c(1−	PROPN
ejpam-2759	182	16	e−tc	e−tc	NOUN
ejpam-2759	182	17	)	)	PUNCT
ejpam-2759	183	1	and	and	CCONJ
ejpam-2759	183	2	we	we	PRON
ejpam-2759	183	3	put	put	VERB
ejpam-2759	183	4	k	k	NOUN
ejpam-2759	183	5	=	=	SYM
ejpam-2759	183	6	meas(ω	meas(ω	NUM
ejpam-2759	183	7	)	)	PUNCT
ejpam-2759	183	8	,	,	PUNCT
ejpam-2759	183	9	which	which	PRON
ejpam-2759	183	10	give	give	VERB
ejpam-2759	183	11	us	we	PRON
ejpam-2759	183	12	the	the	DET
ejpam-2759	183	13	following	follow	VERB
ejpam-2759	183	14	estimate∫	estimate∫	PROPN
ejpam-2759	183	15	ω	ω	PROPN
ejpam-2759	183	16	vn(t	vn(t	NUM
ejpam-2759	183	17	)	)	PUNCT
ejpam-2759	183	18	≤	≤	NOUN
ejpam-2759	183	19	etc	etc	X
ejpam-2759	183	20	∫	∫	PROPN
ejpam-2759	183	21	ω	ω	PROPN
ejpam-2759	183	22	vn(0	vn(0	PROPN
ejpam-2759	183	23	)	)	PUNCT
ejpam-2759	183	24	+	+	NUM
ejpam-2759	183	25	k(etc	k(etc	NOUN
ejpam-2759	183	26	−	−	PROPN
ejpam-2759	183	27	1	1	NUM
ejpam-2759	183	28	)	)	PUNCT
ejpam-2759	183	29	.	.	PUNCT
ejpam-2759	184	1	according	accord	VERB
ejpam-2759	184	2	to	to	ADP
ejpam-2759	184	3	the	the	DET
ejpam-2759	184	4	definition	definition	NOUN
ejpam-2759	184	5	of	of	ADP
ejpam-2759	184	6	the	the	DET
ejpam-2759	184	7	initial	initial	ADJ
ejpam-2759	184	8	data	datum	NOUN
ejpam-2759	184	9	,	,	PUNCT
ejpam-2759	184	10	it	it	PRON
ejpam-2759	184	11	follows	follow	VERB
ejpam-2759	184	12	that	that	SCONJ
ejpam-2759	184	13	the	the	DET
ejpam-2759	184	14	total	total	ADJ
ejpam-2759	184	15	mass	mass	PROPN
ejpam-2759	184	16	∫	∫	PROPN
ejpam-2759	184	17	ω	ω	PROPN
ejpam-2759	184	18	vn(t	vn(t	PUNCT
ejpam-2759	184	19	)	)	PUNCT
ejpam-2759	184	20	is	be	AUX
ejpam-2759	184	21	bounded	bound	VERB
ejpam-2759	184	22	on	on	ADP
ejpam-2759	184	23	any	any	DET
ejpam-2759	184	24	interval	interval	NOUN
ejpam-2759	184	25	.	.	PUNCT
ejpam-2759	185	1	remark	remark	NOUN
ejpam-2759	185	2	1	1	NUM
ejpam-2759	185	3	.	.	PUNCT
ejpam-2759	186	1	let	let	VERB
ejpam-2759	186	2	φn	φn	INTJ
ejpam-2759	186	3	be	be	AUX
ejpam-2759	186	4	the	the	DET
ejpam-2759	186	5	unique	unique	ADJ
ejpam-2759	186	6	solution	solution	NOUN
ejpam-2759	186	7	of	of	ADP
ejpam-2759	186	8	the	the	DET
ejpam-2759	186	9	elliptic	elliptic	ADJ
ejpam-2759	186	10	problem	problem	PUNCT
ejpam-2759	187	1	−ε∆φn	−ε∆φn	PROPN
ejpam-2759	187	2	=	=	SYM
ejpam-2759	187	3	f	f	PROPN
ejpam-2759	187	4	(	(	PUNCT
ejpam-2759	187	5	qnzn	qnzn	NOUN
ejpam-2759	187	6	)	)	PUNCT
ejpam-2759	187	7	on	on	ADP
ejpam-2759	187	8	qt	qt	NOUN
ejpam-2759	187	9	φn(t	φn(t	PUNCT
ejpam-2759	187	10	,	,	PUNCT
ejpam-2759	187	11	x	x	X
ejpam-2759	187	12	)	)	PUNCT
ejpam-2759	187	13	=	=	SYM
ejpam-2759	187	14	0	0	NUM
ejpam-2759	187	15	on	on	ADP
ejpam-2759	187	16	σt	σt	ADP
ejpam-2759	187	17	φn(0	φn(0	PROPN
ejpam-2759	187	18	,	,	PUNCT
ejpam-2759	187	19	x	x	NOUN
ejpam-2759	187	20	)	)	PUNCT
ejpam-2759	187	21	=	=	SYM
ejpam-2759	187	22	φ0(x	φ0(x	NOUN
ejpam-2759	187	23	)	)	PUNCT
ejpam-2759	187	24	on	on	ADP
ejpam-2759	187	25	ω	ω	NUM
ejpam-2759	187	26	,	,	PUNCT
ejpam-2759	187	27	(	(	PUNCT
ejpam-2759	187	28	9	9	NUM
ejpam-2759	187	29	)	)	PUNCT
ejpam-2759	187	30	where	where	SCONJ
ejpam-2759	187	31	φn	φn	NOUN
ejpam-2759	187	32	is	be	AUX
ejpam-2759	187	33	the	the	DET
ejpam-2759	187	34	solution	solution	NOUN
ejpam-2759	187	35	of	of	ADP
ejpam-2759	187	36	the	the	DET
ejpam-2759	187	37	poisson	poisson	NOUN
ejpam-2759	187	38	equation	equation	NOUN
ejpam-2759	187	39	.	.	PUNCT
ejpam-2759	188	1	lemma	lemma	PROPN
ejpam-2759	188	2	2	2	NUM
ejpam-2759	188	3	.	.	PUNCT
ejpam-2759	189	1	there	there	PRON
ejpam-2759	189	2	exists	exist	VERB
ejpam-2759	189	3	a	a	DET
ejpam-2759	189	4	constant	constant	ADJ
ejpam-2759	189	5	c	c	NOUN
ejpam-2759	189	6	depends	depend	VERB
ejpam-2759	189	7	only	only	ADV
ejpam-2759	189	8	on	on	ADP
ejpam-2759	189	9	t	t	PROPN
ejpam-2759	189	10	and	and	CCONJ
ejpam-2759	189	11	on	on	ADP
ejpam-2759	189	12	the	the	DET
ejpam-2759	189	13	l∞−norm	l∞−norm	NOUN
ejpam-2759	189	14	of	of	ADP
ejpam-2759	189	15	φ0	φ0	PROPN
ejpam-2759	189	16	,	,	PUNCT
ejpam-2759	189	17	such	such	ADJ
ejpam-2759	189	18	that	that	DET
ejpam-2759	189	19	||φn||l∞(0,t	||φn||l∞(0,t	NOUN
ejpam-2759	189	20	;	;	PUNCT
ejpam-2759	190	1	w	w	PROPN
ejpam-2759	190	2	1,∞	1,∞	NUM
ejpam-2759	190	3	0	0	NUM
ejpam-2759	190	4	(	(	PUNCT
ejpam-2759	190	5	ω	ω	NOUN
ejpam-2759	190	6	)	)	PUNCT
ejpam-2759	190	7	)	)	PUNCT
ejpam-2759	190	8	≤	≤	ADJ
ejpam-2759	190	9	c.	c.	NOUN
ejpam-2759	190	10	proof	proof	NOUN
ejpam-2759	190	11	.	.	PUNCT
ejpam-2759	191	1	we	we	PRON
ejpam-2759	191	2	have	have	VERB
ejpam-2759	191	3	∀t	∀t	PROPN
ejpam-2759	191	4	∈]0	∈]0	ADJ
ejpam-2759	191	5	,	,	PUNCT
ejpam-2759	191	6	t	t	PROPN
ejpam-2759	192	1	[	[	X
ejpam-2759	192	2	,	,	PUNCT
ejpam-2759	192	3	φn	φn	INTJ
ejpam-2759	192	4	is	be	AUX
ejpam-2759	192	5	the	the	DET
ejpam-2759	192	6	unique	unique	ADJ
ejpam-2759	192	7	solution	solution	NOUN
ejpam-2759	192	8	of	of	ADP
ejpam-2759	192	9	the	the	DET
ejpam-2759	192	10	elliptic	elliptic	ADJ
ejpam-2759	192	11	problem	problem	NOUN
ejpam-2759	192	12	(	(	PUNCT
ejpam-2759	192	13	9	9	NUM
ejpam-2759	192	14	)	)	PUNCT
ejpam-2759	192	15	where	where	SCONJ
ejpam-2759	192	16	φn	φn	ADP
ejpam-2759	192	17	satisfies	satisfie	NOUN
ejpam-2759	192	18	φn(t	φn(t	ADP
ejpam-2759	192	19	,	,	PUNCT
ejpam-2759	192	20	x	x	X
ejpam-2759	192	21	)	)	PUNCT
ejpam-2759	192	22	=	=	SYM
ejpam-2759	192	23	∫	∫	PROPN
ejpam-2759	192	24	ω	ω	NUM
ejpam-2759	192	25	h(s	h(s	PROPN
ejpam-2759	192	26	,	,	PUNCT
ejpam-2759	192	27	x)θn(t	x)θn(t	PROPN
ejpam-2759	192	28	,	,	PUNCT
ejpam-2759	192	29	s)ds	s)ds	PROPN
ejpam-2759	192	30	and	and	CCONJ
ejpam-2759	192	31	θn	θn	PROPN
ejpam-2759	192	32	is	be	AUX
ejpam-2759	192	33	given	give	VERB
ejpam-2759	192	34	by	by	ADP
ejpam-2759	192	35	θn(t	θn(t	NUM
ejpam-2759	192	36	,	,	PUNCT
ejpam-2759	192	37	s	s	PART
ejpam-2759	192	38	)	)	PUNCT
ejpam-2759	192	39	=	=	SYM
ejpam-2759	192	40	f	f	PROPN
ejpam-2759	192	41	(	(	PUNCT
ejpam-2759	192	42	t	t	PROPN
ejpam-2759	192	43	,	,	PUNCT
ejpam-2759	192	44	s	s	NOUN
ejpam-2759	192	45	,	,	PUNCT
ejpam-2759	192	46	qnzn	qnzn	NOUN
ejpam-2759	192	47	)	)	PUNCT
ejpam-2759	192	48	,	,	PUNCT
ejpam-2759	192	49	s	s	PROPN
ejpam-2759	192	50	∈	∈	PROPN
ejpam-2759	192	51	ω	ω	PROPN
ejpam-2759	192	52	,	,	PUNCT
ejpam-2759	192	53	where	where	SCONJ
ejpam-2759	192	54	h	h	PROPN
ejpam-2759	192	55	denotes	denote	VERB
ejpam-2759	192	56	the	the	DET
ejpam-2759	192	57	green	green	PROPN
ejpam-2759	192	58	’s	’s	PART
ejpam-2759	192	59	function	function	NOUN
ejpam-2759	192	60	associated	associate	VERB
ejpam-2759	192	61	to	to	ADP
ejpam-2759	192	62	(	(	PUNCT
ejpam-2759	192	63	9	9	NUM
ejpam-2759	192	64	)	)	PUNCT
ejpam-2759	192	65	.	.	PUNCT
ejpam-2759	193	1	then	then	ADV
ejpam-2759	193	2	we	we	PRON
ejpam-2759	193	3	have	have	VERB
ejpam-2759	193	4	||f	||f	NOUN
ejpam-2759	193	5	(	(	PUNCT
ejpam-2759	193	6	t	t	PROPN
ejpam-2759	193	7	,	,	PUNCT
ejpam-2759	193	8	s	s	PROPN
ejpam-2759	193	9	,	,	PUNCT
ejpam-2759	193	10	qnzn)||l∞(qt	qnzn)||l∞(qt	NUM
ejpam-2759	193	11	)	)	PUNCT
ejpam-2759	193	12	≤	≤	NUM
ejpam-2759	194	1	c	c	NOUN
ejpam-2759	194	2	hence	hence	ADV
ejpam-2759	194	3	||φn||l∞(0,t	||φn||l∞(0,t	NOUN
ejpam-2759	194	4	;	;	PUNCT
ejpam-2759	194	5	w	w	PROPN
ejpam-2759	194	6	1,∞	1,∞	NUM
ejpam-2759	194	7	0	0	NUM
ejpam-2759	194	8	(	(	PUNCT
ejpam-2759	194	9	ω	ω	NOUN
ejpam-2759	194	10	)	)	PUNCT
ejpam-2759	194	11	)	)	PUNCT
ejpam-2759	194	12	≤	≤	PROPN
ejpam-2759	194	13	c.	c.	PROPN
ejpam-2759	194	14	n.	n.	PROPN
ejpam-2759	194	15	alaa	alaa	PROPN
ejpam-2759	194	16	,	,	PUNCT
ejpam-2759	194	17	f.	f.	PROPN
ejpam-2759	194	18	aqel	aqel	PROPN
ejpam-2759	194	19	/	/	SYM
ejpam-2759	194	20	eur	eur	PROPN
ejpam-2759	194	21	.	.	PUNCT
ejpam-2759	195	1	j.	j.	PROPN
ejpam-2759	195	2	pure	pure	PROPN
ejpam-2759	195	3	appl	appl	PROPN
ejpam-2759	195	4	.	.	PROPN
ejpam-2759	195	5	math	math	PROPN
ejpam-2759	195	6	,	,	PUNCT
ejpam-2759	195	7	10	10	NUM
ejpam-2759	195	8	(	(	PUNCT
ejpam-2759	195	9	2	2	NUM
ejpam-2759	195	10	)	)	PUNCT
ejpam-2759	195	11	(	(	PUNCT
ejpam-2759	195	12	2017	2017	NUM
ejpam-2759	195	13	)	)	PUNCT
ejpam-2759	195	14	,	,	PUNCT
ejpam-2759	195	15	272	272	NUM
ejpam-2759	195	16	-	-	SYM
ejpam-2759	195	17	294	294	NUM
ejpam-2759	195	18	281	281	NUM
ejpam-2759	195	19	concerning	concern	VERB
ejpam-2759	195	20	the	the	DET
ejpam-2759	195	21	nonlinearities	nonlinearitie	NOUN
ejpam-2759	195	22	(	(	PUNCT
ejpam-2759	195	23	sni	sni	PROPN
ejpam-2759	195	24	)	)	PUNCT
ejpam-2759	195	25	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	195	26	,	,	PUNCT
ejpam-2759	195	27	we	we	PRON
ejpam-2759	195	28	may	may	AUX
ejpam-2759	195	29	indeed	indeed	ADV
ejpam-2759	195	30	show	show	VERB
ejpam-2759	195	31	the	the	DET
ejpam-2759	195	32	l1	l1	PROPN
ejpam-2759	195	33	bounded	bound	VERB
ejpam-2759	195	34	of	of	ADP
ejpam-2759	195	35	those	those	DET
ejpam-2759	195	36	nonlinearities	nonlinearitie	NOUN
ejpam-2759	195	37	sni	sni	VERB
ejpam-2759	195	38	for	for	ADP
ejpam-2759	195	39	all	all	DET
ejpam-2759	195	40	t	t	NOUN
ejpam-2759	195	41	.	.	PUNCT
ejpam-2759	196	1	the	the	DET
ejpam-2759	196	2	proof	proof	NOUN
ejpam-2759	196	3	needs	need	VERB
ejpam-2759	196	4	to	to	PART
ejpam-2759	196	5	give	give	VERB
ejpam-2759	196	6	more	more	ADV
ejpam-2759	196	7	restrictive	restrictive	ADJ
ejpam-2759	196	8	assumptions	assumption	NOUN
ejpam-2759	196	9	on	on	ADP
ejpam-2759	196	10	the	the	DET
ejpam-2759	196	11	nonlinear	nonlinear	ADJ
ejpam-2759	196	12	terms	term	NOUN
ejpam-2759	196	13	(	(	PUNCT
ejpam-2759	196	14	sni	sni	PROPN
ejpam-2759	196	15	)	)	PUNCT
ejpam-2759	196	16	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	196	17	.	.	PUNCT
ejpam-2759	197	1	we	we	PRON
ejpam-2759	197	2	assume	assume	VERB
ejpam-2759	197	3	that	that	SCONJ
ejpam-2759	197	4	there	there	PRON
ejpam-2759	197	5	exists	exist	VERB
ejpam-2759	197	6	a	a	DET
ejpam-2759	197	7	lower	low	ADJ
ejpam-2759	197	8	triangular	triangular	NOUN
ejpam-2759	197	9	invertible	invertible	ADJ
ejpam-2759	197	10	matrix	matrix	NOUN
ejpam-2759	197	11	a	a	PRON
ejpam-2759	197	12	=	=	X
ejpam-2759	197	13	(	(	PUNCT
ejpam-2759	197	14	ai	ai	PROPN
ejpam-2759	197	15	,	,	PUNCT
ejpam-2759	197	16	j)1≤i	j)1≤i	ADJ
ejpam-2759	197	17	,	,	PUNCT
ejpam-2759	197	18	j≤ns	j≤ns	PROPN
ejpam-2759	197	19	with	with	ADP
ejpam-2759	197	20	nonnegative	nonnegative	ADJ
ejpam-2759	197	21	coefficients	coefficient	NOUN
ejpam-2759	197	22	,	,	PUNCT
ejpam-2759	197	23	such	such	ADJ
ejpam-2759	197	24	that	that	NUM
ejpam-2759	197	25	∃b	∃b	PROPN
ejpam-2759	197	26	∈	∈	PROPN
ejpam-2759	197	27	(	(	PUNCT
ejpam-2759	197	28	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	197	29	,	,	PUNCT
ejpam-2759	197	30	∀(t	∀(t	X
ejpam-2759	197	31	,	,	PUNCT
ejpam-2759	197	32	x	x	NOUN
ejpam-2759	197	33	,	,	PUNCT
ejpam-2759	197	34	r	r	NOUN
ejpam-2759	197	35	)	)	PUNCT
ejpam-2759	197	36	∈	∈	NOUN
ejpam-2759	197	37	(	(	PUNCT
ejpam-2759	197	38	0	0	NUM
ejpam-2759	197	39	,	,	PUNCT
ejpam-2759	197	40	t	t	NOUN
ejpam-2759	197	41	)	)	PUNCT
ejpam-2759	197	42	×	×	NOUN
ejpam-2759	197	43	ω×	ω×	PUNCT
ejpam-2759	197	44	[	[	X
ejpam-2759	197	45	0,+∞)ns	0,+∞)ns	NUM
ejpam-2759	197	46	as(t	as(t	ADP
ejpam-2759	197	47	,	,	PUNCT
ejpam-2759	197	48	x	x	NOUN
ejpam-2759	197	49	,	,	PUNCT
ejpam-2759	197	50	r	r	NOUN
ejpam-2759	197	51	)	)	PUNCT
ejpam-2759	197	52	≤	≤	NOUN
ejpam-2759	197	53	(	(	PUNCT
ejpam-2759	197	54	1	1	NUM
ejpam-2759	197	55	+	+	CCONJ
ejpam-2759	197	56	∑	∑	PROPN
ejpam-2759	197	57	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	197	58	ri)b	ri)b	PROPN
ejpam-2759	197	59	(	(	PUNCT
ejpam-2759	197	60	10	10	NUM
ejpam-2759	197	61	)	)	PUNCT
ejpam-2759	197	62	where	where	SCONJ
ejpam-2759	197	63	s(r	s(r	VERB
ejpam-2759	197	64	)	)	PUNCT
ejpam-2759	197	65	=	=	SYM
ejpam-2759	197	66	(	(	PUNCT
ejpam-2759	197	67	s1(r	s1(r	NOUN
ejpam-2759	197	68	)	)	PUNCT
ejpam-2759	197	69	,	,	PUNCT
ejpam-2759	197	70	s2(r	s2(r	PROPN
ejpam-2759	197	71	)	)	PUNCT
ejpam-2759	197	72	,	,	PUNCT
ejpam-2759	197	73	...	...	PUNCT
ejpam-2759	197	74	,	,	PUNCT
ejpam-2759	197	75	sns(r	sns(r	PROPN
ejpam-2759	197	76	)	)	PUNCT
ejpam-2759	197	77	)	)	PUNCT
ejpam-2759	197	78	.	.	PUNCT
ejpam-2759	198	1	proposition	proposition	NOUN
ejpam-2759	198	2	1	1	NUM
ejpam-2759	198	3	.	.	PUNCT
ejpam-2759	198	4	assume	assume	VERB
ejpam-2759	198	5	that	that	SCONJ
ejpam-2759	198	6	(	(	PUNCT
ejpam-2759	198	7	h1	h1	PROPN
ejpam-2759	198	8	)	)	PUNCT
ejpam-2759	198	9	and	and	CCONJ
ejpam-2759	198	10	(	(	PUNCT
ejpam-2759	198	11	10	10	NUM
ejpam-2759	198	12	)	)	PUNCT
ejpam-2759	198	13	hold	hold	NOUN
ejpam-2759	198	14	.	.	PUNCT
ejpam-2759	199	1	then	then	ADV
ejpam-2759	199	2	,	,	PUNCT
ejpam-2759	199	3	if	if	SCONJ
ejpam-2759	199	4	(	(	PUNCT
ejpam-2759	199	5	zn	zn	X
ejpam-2759	199	6	,	,	PUNCT
ejpam-2759	199	7	φn	φn	NOUN
ejpam-2759	199	8	)	)	PUNCT
ejpam-2759	199	9	is	be	AUX
ejpam-2759	199	10	solution	solution	NOUN
ejpam-2759	199	11	of	of	ADP
ejpam-2759	199	12	(	(	PUNCT
ejpam-2759	199	13	7	7	NUM
ejpam-2759	199	14	)	)	PUNCT
ejpam-2759	199	15	on	on	ADP
ejpam-2759	199	16	(	(	PUNCT
ejpam-2759	199	17	0	0	NUM
ejpam-2759	199	18	,	,	PUNCT
ejpam-2759	199	19	t	t	NOUN
ejpam-2759	199	20	)	)	PUNCT
ejpam-2759	199	21	,	,	PUNCT
ejpam-2759	199	22	there	there	PRON
ejpam-2759	199	23	exists	exist	VERB
ejpam-2759	199	24	a	a	DET
ejpam-2759	199	25	nonnegative	nonnegative	ADJ
ejpam-2759	199	26	constant	constant	ADJ
ejpam-2759	199	27	denoted	denote	VERB
ejpam-2759	199	28	by	by	ADP
ejpam-2759	199	29	c	c	PROPN
ejpam-2759	199	30	such	such	ADJ
ejpam-2759	199	31	that	that	SCONJ
ejpam-2759	199	32	,	,	PUNCT
ejpam-2759	199	33	for	for	ADP
ejpam-2759	199	34	all	all	DET
ejpam-2759	199	35	1	1	NUM
ejpam-2759	199	36	≤	≤	NUM
ejpam-2759	199	37	i	i	PRON
ejpam-2759	199	38	≤	≤	NUM
ejpam-2759	199	39	ns	ns	NUM
ejpam-2759	199	40	and	and	CCONJ
ejpam-2759	199	41	for	for	ADP
ejpam-2759	199	42	all	all	PRON
ejpam-2759	199	43	n	n	PRON
ejpam-2759	199	44	≥	≥	NUM
ejpam-2759	199	45	1	1	NUM
ejpam-2759	199	46	∫	∫	NOUN
ejpam-2759	199	47	qt	qt	NOUN
ejpam-2759	199	48	|sni	|sni	PROPN
ejpam-2759	199	49	(	(	PUNCT
ejpam-2759	199	50	zn	zn	X
ejpam-2759	199	51	,	,	PUNCT
ejpam-2759	199	52	φn)|dtdx	φn)|dtdx	PROPN
ejpam-2759	199	53	≤	≤	PUNCT
ejpam-2759	199	54	c	c	X
ejpam-2759	199	55	<	<	X
ejpam-2759	199	56	+	+	PRON
ejpam-2759	199	57	∞.	∞.	PROPN
ejpam-2759	199	58	(	(	PUNCT
ejpam-2759	199	59	11	11	NUM
ejpam-2759	199	60	)	)	PUNCT
ejpam-2759	199	61	proof	proof	NOUN
ejpam-2759	199	62	.	.	PUNCT
ejpam-2759	200	1	we	we	PRON
ejpam-2759	200	2	denote	denote	VERB
ejpam-2759	200	3	by	by	ADP
ejpam-2759	200	4	c0	c0	PROPN
ejpam-2759	200	5	any	any	DET
ejpam-2759	200	6	constant	constant	ADJ
ejpam-2759	200	7	depending	depend	VERB
ejpam-2759	200	8	only	only	ADV
ejpam-2759	200	9	on	on	ADP
ejpam-2759	200	10	the	the	DET
ejpam-2759	200	11	initial	initial	ADJ
ejpam-2759	200	12	data	datum	NOUN
ejpam-2759	200	13	and	and	CCONJ
ejpam-2759	200	14	t	t	PROPN
ejpam-2759	200	15	.	.	PUNCT
ejpam-2759	201	1	then	then	ADV
ejpam-2759	201	2	for	for	ADP
ejpam-2759	201	3	all	all	DET
ejpam-2759	201	4	t	t	NOUN
ejpam-2759	201	5	∈	∈	PROPN
ejpam-2759	201	6	[	[	X
ejpam-2759	201	7	0	0	NUM
ejpam-2759	201	8	,	,	PUNCT
ejpam-2759	201	9	t	t	X
ejpam-2759	201	10	]	]	PUNCT
ejpam-2759	201	11	,	,	PUNCT
ejpam-2759	201	12	we	we	PRON
ejpam-2759	201	13	have	have	VERB
ejpam-2759	201	14	∫	∫	PROPN
ejpam-2759	201	15	ω(qi	ω(qi	NUM
ejpam-2759	201	16	,	,	PUNCT
ejpam-2759	201	17	nzi	nzi	NOUN
ejpam-2759	201	18	,	,	PUNCT
ejpam-2759	201	19	n)(t	n)(t	NUM
ejpam-2759	201	20	)	)	PUNCT
ejpam-2759	201	21	≤	≤	NOUN
ejpam-2759	201	22	c0	c0	NOUN
ejpam-2759	201	23	for	for	ADP
ejpam-2759	201	24	all	all	DET
ejpam-2759	201	25	1≤	1≤	NUM
ejpam-2759	201	26	i	i	X
ejpam-2759	201	27	≤	≤	PROPN
ejpam-2759	202	1	ns	ns	X
ejpam-2759	202	2	.	.	PUNCT
ejpam-2759	203	1	now	now	ADV
ejpam-2759	203	2	,	,	PUNCT
ejpam-2759	203	3	we	we	PRON
ejpam-2759	203	4	take	take	VERB
ejpam-2759	203	5	the	the	DET
ejpam-2759	203	6	equation	equation	NOUN
ejpam-2759	203	7	verified	verify	VERB
ejpam-2759	203	8	by	by	ADP
ejpam-2759	203	9	qi	qi	PROPN
ejpam-2759	203	10	,	,	PUNCT
ejpam-2759	203	11	nzi	nzi	PROPN
ejpam-2759	203	12	,	,	PUNCT
ejpam-2759	203	13	n	n	NOUN
ejpam-2759	203	14	and	and	CCONJ
ejpam-2759	203	15	we	we	PRON
ejpam-2759	203	16	sum	sum	VERB
ejpam-2759	203	17	the	the	DET
ejpam-2759	203	18	ns	ns	ADJ
ejpam-2759	203	19	equations	equation	NOUN
ejpam-2759	203	20	to	to	PART
ejpam-2759	203	21	obtain	obtain	VERB
ejpam-2759	203	22	that	that	PRON
ejpam-2759	203	23	,	,	PUNCT
ejpam-2759	203	24	for	for	ADP
ejpam-2759	203	25	1	1	NUM
ejpam-2759	203	26	≤	≤	NUM
ejpam-2759	203	27	i	i	PRON
ejpam-2759	203	28	≤	≤	NUM
ejpam-2759	203	29	ns	ns	NUM
ejpam-2759	203	30	and	and	CCONJ
ejpam-2759	203	31	for	for	ADP
ejpam-2759	203	32	1	1	NUM
ejpam-2759	203	33	≤	≤	NUM
ejpam-2759	204	1	j	j	PROPN
ejpam-2759	204	2	≤	≤	PROPN
ejpam-2759	205	1	i	i	PRON
ejpam-2759	205	2	,	,	PUNCT
ejpam-2759	205	3	we	we	PRON
ejpam-2759	205	4	have	have	VERB
ejpam-2759	205	5	i∑	i∑	NOUN
ejpam-2759	205	6	j=1	j=1	NOUN
ejpam-2759	205	7	ai	ai	PROPN
ejpam-2759	205	8	,	,	PUNCT
ejpam-2759	205	9	j	j	PROPN
ejpam-2759	205	10	∂(qj	∂(qj	PROPN
ejpam-2759	205	11	,	,	PUNCT
ejpam-2759	205	12	nzj	nzj	PROPN
ejpam-2759	205	13	,	,	PUNCT
ejpam-2759	205	14	n	n	CCONJ
ejpam-2759	205	15	)	)	PUNCT
ejpam-2759	205	16	∂t	∂t	PROPN
ejpam-2759	205	17	−	−	PROPN
ejpam-2759	205	18	i∑	i∑	PROPN
ejpam-2759	205	19	j=1	j=1	PROPN
ejpam-2759	205	20	ai	ai	VERB
ejpam-2759	205	21	,	,	PUNCT
ejpam-2759	205	22	j	j	PROPN
ejpam-2759	206	1	[	[	X
ejpam-2759	206	2	djdiv(qj	djdiv(qj	NOUN
ejpam-2759	206	3	,	,	PUNCT
ejpam-2759	206	4	n∇zj	n∇zj	PROPN
ejpam-2759	206	5	,	,	PUNCT
ejpam-2759	206	6	n	n	CCONJ
ejpam-2759	206	7	)	)	PUNCT
ejpam-2759	206	8	]	]	PUNCT
ejpam-2759	207	1	=	=	SYM
ejpam-2759	207	2	i∑	i∑	PROPN
ejpam-2759	207	3	j=1	j=1	NOUN
ejpam-2759	207	4	ai	ai	VERB
ejpam-2759	207	5	,	,	PUNCT
ejpam-2759	207	6	js	js	ADP
ejpam-2759	207	7	n	n	PRON
ejpam-2759	207	8	j	j	PROPN
ejpam-2759	207	9	(	(	PUNCT
ejpam-2759	207	10	zn	zn	PROPN
ejpam-2759	207	11	,	,	PUNCT
ejpam-2759	207	12	φn	φn	PROPN
ejpam-2759	207	13	)	)	PUNCT
ejpam-2759	207	14	we	we	PRON
ejpam-2759	207	15	multiply	multiply	VERB
ejpam-2759	207	16	this	this	DET
ejpam-2759	207	17	equation	equation	NOUN
ejpam-2759	207	18	by	by	ADP
ejpam-2759	207	19	ϕ	ϕ	NOUN
ejpam-2759	207	20	=	=	SYM
ejpam-2759	207	21	1	1	NUM
ejpam-2759	207	22	and	and	CCONJ
ejpam-2759	207	23	integrating	integrate	VERB
ejpam-2759	207	24	on	on	ADP
ejpam-2759	207	25	qt	qt	NOUN
ejpam-2759	207	26	.	.	PUNCT
ejpam-2759	208	1	indeed	indeed	ADV
ejpam-2759	208	2	,	,	PUNCT
ejpam-2759	208	3	we	we	PRON
ejpam-2759	208	4	have∫	have∫	VERB
ejpam-2759	208	5	qt	qt	ADP
ejpam-2759	208	6	i∑	i∑	NOUN
ejpam-2759	209	1	j=1	j=1	NOUN
ejpam-2759	210	1	ai	ai	VERB
ejpam-2759	210	2	,	,	PUNCT
ejpam-2759	210	3	j	j	PROPN
ejpam-2759	210	4	∂(qj	∂(qj	PROPN
ejpam-2759	210	5	,	,	PUNCT
ejpam-2759	210	6	nzj	nzj	PROPN
ejpam-2759	210	7	,	,	PUNCT
ejpam-2759	210	8	n	n	CCONJ
ejpam-2759	210	9	)	)	PUNCT
ejpam-2759	211	1	∂t	∂t	PROPN
ejpam-2759	211	2	−	−	PROPN
ejpam-2759	211	3	∫	∫	PROPN
ejpam-2759	211	4	σt	σt	ADP
ejpam-2759	211	5	i∑	i∑	PROPN
ejpam-2759	211	6	j=1	j=1	NOUN
ejpam-2759	211	7	ai	ai	VERB
ejpam-2759	211	8	,	,	PUNCT
ejpam-2759	211	9	jdjqj	jdjqj	ADV
ejpam-2759	211	10	,	,	PUNCT
ejpam-2759	211	11	n	n	PRON
ejpam-2759	211	12	∂zj	∂zj	NOUN
ejpam-2759	211	13	,	,	PUNCT
ejpam-2759	211	14	n	n	PROPN
ejpam-2759	211	15	∂υ	∂υ	PROPN
ejpam-2759	211	16	dσ	dσ	PROPN
ejpam-2759	211	17	=	=	SYM
ejpam-2759	211	18	∫	∫	PROPN
ejpam-2759	212	1	qt	qt	PROPN
ejpam-2759	213	1	i∑	i∑	PROPN
ejpam-2759	214	1	j=1	j=1	NOUN
ejpam-2759	214	2	ai	ai	VERB
ejpam-2759	214	3	,	,	PUNCT
ejpam-2759	214	4	js	js	ADP
ejpam-2759	214	5	n	n	PRON
ejpam-2759	214	6	j	j	PROPN
ejpam-2759	214	7	(	(	PUNCT
ejpam-2759	214	8	zn	zn	PROPN
ejpam-2759	214	9	,	,	PUNCT
ejpam-2759	214	10	φn	φn	PROPN
ejpam-2759	214	11	)	)	PUNCT
ejpam-2759	214	12	we	we	PRON
ejpam-2759	214	13	use	use	VERB
ejpam-2759	214	14	the	the	DET
ejpam-2759	214	15	boundary	boundary	ADJ
ejpam-2759	214	16	conditions	condition	NOUN
ejpam-2759	214	17	,	,	PUNCT
ejpam-2759	214	18	then	then	ADV
ejpam-2759	214	19	we	we	PRON
ejpam-2759	214	20	obtain∫	obtain∫	VERB
ejpam-2759	214	21	qt	qt	ADP
ejpam-2759	214	22	i∑	i∑	PROPN
ejpam-2759	214	23	j=1	j=1	NOUN
ejpam-2759	215	1	ai	ai	VERB
ejpam-2759	215	2	,	,	PUNCT
ejpam-2759	215	3	j	j	PROPN
ejpam-2759	215	4	∂(qj	∂(qj	PROPN
ejpam-2759	215	5	,	,	PUNCT
ejpam-2759	215	6	nzj	nzj	PROPN
ejpam-2759	215	7	,	,	PUNCT
ejpam-2759	215	8	n	n	CCONJ
ejpam-2759	215	9	)	)	PUNCT
ejpam-2759	215	10	∂t	∂t	PROPN
ejpam-2759	215	11	=	=	SYM
ejpam-2759	215	12	∫	∫	PROPN
ejpam-2759	216	1	qt	qt	PROPN
ejpam-2759	216	2	i∑	i∑	PROPN
ejpam-2759	216	3	j=1	j=1	NOUN
ejpam-2759	216	4	ai	ai	VERB
ejpam-2759	216	5	,	,	PUNCT
ejpam-2759	216	6	js	js	ADP
ejpam-2759	216	7	n	n	PRON
ejpam-2759	216	8	j	j	PROPN
ejpam-2759	216	9	(	(	PUNCT
ejpam-2759	216	10	zn	zn	PROPN
ejpam-2759	216	11	,	,	PUNCT
ejpam-2759	216	12	φn	φn	NOUN
ejpam-2759	216	13	)	)	PUNCT
ejpam-2759	216	14	,	,	PUNCT
ejpam-2759	216	15	therefore	therefore	ADV
ejpam-2759	216	16	i∑	i∑	ADJ
ejpam-2759	216	17	j=1	j=1	NOUN
ejpam-2759	216	18	ai	ai	VERB
ejpam-2759	216	19	,	,	PUNCT
ejpam-2759	217	1	j	j	PROPN
ejpam-2759	217	2	∫	∫	PROPN
ejpam-2759	217	3	ω	ω	PROPN
ejpam-2759	217	4	(	(	PUNCT
ejpam-2759	217	5	qj	qj	PROPN
ejpam-2759	217	6	,	,	PUNCT
ejpam-2759	217	7	nzj	nzj	PROPN
ejpam-2759	217	8	,	,	PUNCT
ejpam-2759	217	9	n)(t	n)(t	PUNCT
ejpam-2759	217	10	)	)	PUNCT
ejpam-2759	218	1	=	=	SYM
ejpam-2759	218	2	i∑	i∑	PROPN
ejpam-2759	218	3	j=1	j=1	NOUN
ejpam-2759	218	4	ai	ai	VERB
ejpam-2759	218	5	,	,	PUNCT
ejpam-2759	218	6	j	j	PROPN
ejpam-2759	218	7	∫	∫	PROPN
ejpam-2759	218	8	qt	qt	PROPN
ejpam-2759	218	9	snj	snj	PROPN
ejpam-2759	218	10	(	(	PUNCT
ejpam-2759	218	11	zn	zn	PROPN
ejpam-2759	218	12	,	,	PUNCT
ejpam-2759	218	13	φn	φn	PROPN
ejpam-2759	218	14	)	)	PUNCT
ejpam-2759	218	15	+	+	CCONJ
ejpam-2759	219	1	i∑	i∑	NOUN
ejpam-2759	219	2	j=1	j=1	NOUN
ejpam-2759	219	3	ai	ai	VERB
ejpam-2759	219	4	,	,	PUNCT
ejpam-2759	219	5	j	j	PROPN
ejpam-2759	219	6	∫	∫	PROPN
ejpam-2759	219	7	ω	ω	PROPN
ejpam-2759	219	8	(	(	PUNCT
ejpam-2759	219	9	qj	qj	PROPN
ejpam-2759	219	10	,	,	PUNCT
ejpam-2759	219	11	nzj	nzj	PROPN
ejpam-2759	219	12	,	,	PUNCT
ejpam-2759	219	13	n)(0	n)(0	NUM
ejpam-2759	219	14	,	,	PUNCT
ejpam-2759	219	15	x	x	X
ejpam-2759	219	16	)	)	PUNCT
ejpam-2759	219	17	the	the	DET
ejpam-2759	219	18	nonnegativity	nonnegativity	NOUN
ejpam-2759	219	19	of	of	ADP
ejpam-2759	219	20	solutions	solution	NOUN
ejpam-2759	219	21	gives	give	VERB
ejpam-2759	219	22	us	we	PRON
ejpam-2759	219	23	−	−	PRON
ejpam-2759	219	24	i∑	i∑	NOUN
ejpam-2759	219	25	j=1	j=1	NOUN
ejpam-2759	219	26	ai	ai	VERB
ejpam-2759	219	27	,	,	PUNCT
ejpam-2759	219	28	j	j	PROPN
ejpam-2759	219	29	∫	∫	PROPN
ejpam-2759	219	30	qt	qt	PROPN
ejpam-2759	219	31	snj	snj	PROPN
ejpam-2759	219	32	(	(	PUNCT
ejpam-2759	219	33	zn	zn	PROPN
ejpam-2759	219	34	,	,	PUNCT
ejpam-2759	219	35	φn	φn	NOUN
ejpam-2759	219	36	)	)	PUNCT
ejpam-2759	219	37	≤	≤	NOUN
ejpam-2759	219	38	i∑	i∑	PROPN
ejpam-2759	219	39	j=1	j=1	NOUN
ejpam-2759	219	40	ai	ai	VERB
ejpam-2759	219	41	,	,	PUNCT
ejpam-2759	219	42	j	j	PROPN
ejpam-2759	219	43	∫	∫	PROPN
ejpam-2759	219	44	ω	ω	PROPN
ejpam-2759	219	45	(	(	PUNCT
ejpam-2759	219	46	qj	qj	PROPN
ejpam-2759	219	47	,	,	PUNCT
ejpam-2759	219	48	nzj	nzj	PROPN
ejpam-2759	219	49	,	,	PUNCT
ejpam-2759	219	50	n)(0	n)(0	NUM
ejpam-2759	219	51	,	,	PUNCT
ejpam-2759	219	52	x	x	NOUN
ejpam-2759	219	53	)	)	PUNCT
ejpam-2759	219	54	.	.	PUNCT
ejpam-2759	220	1	(	(	PUNCT
ejpam-2759	220	2	12	12	NUM
ejpam-2759	220	3	)	)	PUNCT
ejpam-2759	220	4	n.	n.	PROPN
ejpam-2759	220	5	alaa	alaa	PROPN
ejpam-2759	220	6	,	,	PUNCT
ejpam-2759	220	7	f.	f.	PROPN
ejpam-2759	220	8	aqel	aqel	PROPN
ejpam-2759	220	9	/	/	SYM
ejpam-2759	220	10	eur	eur	PROPN
ejpam-2759	220	11	.	.	PUNCT
ejpam-2759	221	1	j.	j.	PROPN
ejpam-2759	221	2	pure	pure	PROPN
ejpam-2759	221	3	appl	appl	PROPN
ejpam-2759	221	4	.	.	PROPN
ejpam-2759	221	5	math	math	PROPN
ejpam-2759	221	6	,	,	PUNCT
ejpam-2759	221	7	10	10	NUM
ejpam-2759	221	8	(	(	PUNCT
ejpam-2759	221	9	2	2	NUM
ejpam-2759	221	10	)	)	PUNCT
ejpam-2759	221	11	(	(	PUNCT
ejpam-2759	221	12	2017	2017	NUM
ejpam-2759	221	13	)	)	PUNCT
ejpam-2759	221	14	,	,	PUNCT
ejpam-2759	221	15	272	272	NUM
ejpam-2759	221	16	-	-	SYM
ejpam-2759	221	17	294	294	NUM
ejpam-2759	221	18	282	282	NUM
ejpam-2759	221	19	now	now	ADV
ejpam-2759	221	20	,	,	PUNCT
ejpam-2759	221	21	we	we	PRON
ejpam-2759	221	22	use	use	VERB
ejpam-2759	221	23	(	(	PUNCT
ejpam-2759	221	24	10	10	NUM
ejpam-2759	221	25	)	)	PUNCT
ejpam-2759	221	26	.	.	PUNCT
ejpam-2759	222	1	this	this	PRON
ejpam-2759	222	2	leads	lead	VERB
ejpam-2759	222	3	us	we	PRON
ejpam-2759	222	4	to	to	ADP
ejpam-2759	222	5	the	the	DET
ejpam-2759	222	6	following	follow	VERB
ejpam-2759	222	7	estimate∫	estimate∫	PROPN
ejpam-2759	222	8	qt	qt	ADP
ejpam-2759	222	9	hi(qnzn	hi(qnzn	PROPN
ejpam-2759	222	10	)	)	PUNCT
ejpam-2759	222	11	≤	≤	NOUN
ejpam-2759	222	12	i∑	i∑	NUM
ejpam-2759	222	13	j=1	j=1	NOUN
ejpam-2759	222	14	ai	ai	VERB
ejpam-2759	222	15	,	,	PUNCT
ejpam-2759	223	1	j	j	PROPN
ejpam-2759	223	2	∫	∫	PROPN
ejpam-2759	223	3	ω	ω	PROPN
ejpam-2759	223	4	(	(	PUNCT
ejpam-2759	223	5	qj	qj	PROPN
ejpam-2759	223	6	,	,	PUNCT
ejpam-2759	223	7	nzj	nzj	PROPN
ejpam-2759	223	8	,	,	PUNCT
ejpam-2759	223	9	n)(0	n)(0	NUM
ejpam-2759	223	10	,	,	PUNCT
ejpam-2759	223	11	x	x	X
ejpam-2759	223	12	)	)	PUNCT
ejpam-2759	223	13	+	+	CCONJ
ejpam-2759	223	14	∫	∫	PROPN
ejpam-2759	223	15	qt	qt	NOUN
ejpam-2759	223	16	bi(1	bi(1	NOUN
ejpam-2759	223	17	+	+	CCONJ
ejpam-2759	223	18	ns∑	ns∑	PROPN
ejpam-2759	223	19	i=1	i=1	PROPN
ejpam-2759	223	20	qi	qi	PROPN
ejpam-2759	223	21	,	,	PUNCT
ejpam-2759	223	22	nzi	nzi	PROPN
ejpam-2759	223	23	,	,	PUNCT
ejpam-2759	223	24	n	n	CCONJ
ejpam-2759	223	25	)	)	PUNCT
ejpam-2759	223	26	(	(	PUNCT
ejpam-2759	223	27	13	13	NUM
ejpam-2759	223	28	)	)	PUNCT
ejpam-2759	223	29	where	where	SCONJ
ejpam-2759	223	30	hi(qnzn	hi(qnzn	NOUN
ejpam-2759	223	31	)	)	PUNCT
ejpam-2759	223	32	=	=	SYM
ejpam-2759	224	1	−	−	PROPN
ejpam-2759	224	2	i∑	i∑	PROPN
ejpam-2759	224	3	j=1	j=1	NOUN
ejpam-2759	224	4	ai	ai	VERB
ejpam-2759	224	5	,	,	PUNCT
ejpam-2759	224	6	js	js	ADP
ejpam-2759	224	7	n	n	PRON
ejpam-2759	224	8	j	j	PROPN
ejpam-2759	224	9	(	(	PUNCT
ejpam-2759	224	10	zn	zn	PROPN
ejpam-2759	224	11	,	,	PUNCT
ejpam-2759	224	12	φn	φn	PROPN
ejpam-2759	224	13	)	)	PUNCT
ejpam-2759	224	14	+	+	X
ejpam-2759	225	1	bi(1	bi(1	NOUN
ejpam-2759	225	2	+	+	CCONJ
ejpam-2759	225	3	ns∑	ns∑	NOUN
ejpam-2759	225	4	i=1	i=1	PROPN
ejpam-2759	225	5	qi	qi	PROPN
ejpam-2759	225	6	,	,	PUNCT
ejpam-2759	225	7	nzi	nzi	PROPN
ejpam-2759	225	8	,	,	PUNCT
ejpam-2759	225	9	n	n	CCONJ
ejpam-2759	225	10	)	)	PUNCT
ejpam-2759	225	11	by	by	ADP
ejpam-2759	225	12	using	use	VERB
ejpam-2759	225	13	(	(	PUNCT
ejpam-2759	225	14	12	12	NUM
ejpam-2759	225	15	)	)	PUNCT
ejpam-2759	225	16	and	and	CCONJ
ejpam-2759	225	17	(	(	PUNCT
ejpam-2759	225	18	13	13	NUM
ejpam-2759	225	19	)	)	PUNCT
ejpam-2759	225	20	,	,	PUNCT
ejpam-2759	225	21	we	we	PRON
ejpam-2759	225	22	obtain	obtain	VERB
ejpam-2759	225	23	||	||	NOUN
ejpam-2759	226	1	i∑	i∑	ADJ
ejpam-2759	226	2	j=1	j=1	NOUN
ejpam-2759	226	3	ai	ai	VERB
ejpam-2759	226	4	,	,	PUNCT
ejpam-2759	226	5	js	js	ADP
ejpam-2759	226	6	n	n	PRON
ejpam-2759	226	7	j	j	PROPN
ejpam-2759	226	8	(	(	PUNCT
ejpam-2759	226	9	zn	zn	PROPN
ejpam-2759	226	10	,	,	PUNCT
ejpam-2759	226	11	φn)||l1(qt	φn)||l1(qt	NOUN
ejpam-2759	226	12	)	)	PUNCT
ejpam-2759	226	13	≤	≤	NUM
ejpam-2759	227	1	c.	c.	NOUN
ejpam-2759	227	2	therefore	therefore	ADV
ejpam-2759	227	3	,	,	PUNCT
ejpam-2759	227	4	for	for	ADP
ejpam-2759	227	5	1	1	NUM
ejpam-2759	227	6	≤	≤	NUM
ejpam-2759	227	7	i	i	PRON
ejpam-2759	227	8	≤	≤	NUM
ejpam-2759	227	9	ns	ns	NUM
ejpam-2759	227	10	||sni	||sni	NOUN
ejpam-2759	227	11	(	(	PUNCT
ejpam-2759	227	12	zn	zn	NUM
ejpam-2759	227	13	,	,	PUNCT
ejpam-2759	227	14	φn)||l1(qt	φn)||l1(qt	NOUN
ejpam-2759	227	15	)	)	PUNCT
ejpam-2759	227	16	≤	≤	NUM
ejpam-2759	227	17	c.	c.	NOUN
ejpam-2759	227	18	before	before	ADP
ejpam-2759	227	19	continuing	continue	VERB
ejpam-2759	227	20	the	the	DET
ejpam-2759	227	21	proof	proof	NOUN
ejpam-2759	227	22	of	of	ADP
ejpam-2759	227	23	the	the	DET
ejpam-2759	227	24	main	main	ADJ
ejpam-2759	227	25	result	result	NOUN
ejpam-2759	227	26	.	.	PUNCT
ejpam-2759	228	1	first	first	ADV
ejpam-2759	228	2	of	of	ADP
ejpam-2759	228	3	all	all	PRON
ejpam-2759	228	4	,	,	PUNCT
ejpam-2759	228	5	we	we	PRON
ejpam-2759	228	6	define	define	VERB
ejpam-2759	228	7	the	the	DET
ejpam-2759	228	8	following	follow	VERB
ejpam-2759	228	9	the	the	DET
ejpam-2759	228	10	following	follow	VERB
ejpam-2759	228	11	set	set	VERB
ejpam-2759	228	12	d	d	X
ejpam-2759	228	13	=	=	SYM
ejpam-2759	228	14	{	{	PUNCT
ejpam-2759	228	15	ψ	ψ	X
ejpam-2759	228	16	∈	∈	ADJ
ejpam-2759	228	17	c∞(q̄t	c∞(q̄t	PROPN
ejpam-2759	228	18	)	)	PUNCT
ejpam-2759	228	19	;	;	PUNCT
ejpam-2759	228	20	ψ	ψ	X
ejpam-2759	228	21	≥	≥	NOUN
ejpam-2759	228	22	0	0	NUM
ejpam-2759	228	23	;	;	PUNCT
ejpam-2759	228	24	ψ(0	ψ(0	NOUN
ejpam-2759	228	25	,	,	PUNCT
ejpam-2759	228	26	t	t	NOUN
ejpam-2759	228	27	)	)	PUNCT
ejpam-2759	228	28	=	=	PUNCT
ejpam-2759	229	1	0	0	X
ejpam-2759	229	2	}	}	PUNCT
ejpam-2759	229	3	(	(	PUNCT
ejpam-2759	229	4	14	14	NUM
ejpam-2759	229	5	)	)	PUNCT
ejpam-2759	229	6	or	or	CCONJ
ejpam-2759	229	7	,	,	PUNCT
ejpam-2759	229	8	we	we	PRON
ejpam-2759	229	9	choose	choose	VERB
ejpam-2759	229	10	all	all	DET
ejpam-2759	229	11	the	the	DET
ejpam-2759	229	12	dirichlet	dirichlet	PROPN
ejpam-2759	229	13	condition	condition	NOUN
ejpam-2759	229	14	as	as	SCONJ
ejpam-2759	229	15	follows	follow	VERB
ejpam-2759	229	16	d	d	NOUN
ejpam-2759	229	17	=	=	PUNCT
ejpam-2759	229	18	{	{	PUNCT
ejpam-2759	229	19	ψ	ψ	X
ejpam-2759	229	20	∈	∈	PROPN
ejpam-2759	229	21	c∞(q̄t	c∞(q̄t	PROPN
ejpam-2759	229	22	)	)	PUNCT
ejpam-2759	229	23	;	;	PUNCT
ejpam-2759	229	24	ψ	ψ	X
ejpam-2759	229	25	≥	≥	NOUN
ejpam-2759	229	26	0	0	NUM
ejpam-2759	229	27	;	;	PUNCT
ejpam-2759	229	28	ψ	ψ	X
ejpam-2759	229	29	(	(	PUNCT
ejpam-2759	229	30	.	.	PUNCT
ejpam-2759	229	31	,	,	PUNCT
ejpam-2759	229	32	t	t	NOUN
ejpam-2759	229	33	)	)	PUNCT
ejpam-2759	229	34	=	=	SYM
ejpam-2759	230	1	0	0	NUM
ejpam-2759	230	2	,	,	PUNCT
ejpam-2759	230	3	ψ	ψ	X
ejpam-2759	230	4	=	=	SYM
ejpam-2759	230	5	0	0	NUM
ejpam-2759	230	6	on	on	ADP
ejpam-2759	230	7	σt	σt	ADP
ejpam-2759	230	8	}	}	PUNCT
ejpam-2759	230	9	.	.	PUNCT
ejpam-2759	231	1	(	(	PUNCT
ejpam-2759	231	2	15	15	NUM
ejpam-2759	231	3	)	)	PUNCT
ejpam-2759	231	4	definition	definition	NOUN
ejpam-2759	231	5	2	2	NUM
ejpam-2759	231	6	.	.	PUNCT
ejpam-2759	232	1	the	the	DET
ejpam-2759	232	2	function	function	NOUN
ejpam-2759	232	3	(	(	PUNCT
ejpam-2759	232	4	ω	ω	PROPN
ejpam-2759	232	5	,	,	PUNCT
ejpam-2759	232	6	φ	φ	NUM
ejpam-2759	232	7	)	)	PUNCT
ejpam-2759	232	8	=	=	SYM
ejpam-2759	232	9	(	(	PUNCT
ejpam-2759	232	10	ω1	ω1	PROPN
ejpam-2759	232	11	,	,	PUNCT
ejpam-2759	232	12	...	...	PUNCT
ejpam-2759	232	13	,	,	PUNCT
ejpam-2759	232	14	ωns	ωns	PROPN
ejpam-2759	232	15	,	,	PUNCT
ejpam-2759	232	16	φ	φ	PROPN
ejpam-2759	232	17	)	)	PUNCT
ejpam-2759	232	18	is	be	AUX
ejpam-2759	232	19	called	call	VERB
ejpam-2759	232	20	a	a	DET
ejpam-2759	232	21	supersolution	supersolution	NOUN
ejpam-2759	232	22	of	of	ADP
ejpam-2759	232	23	problem	problem	NOUN
ejpam-2759	232	24	(	(	PUNCT
ejpam-2759	232	25	1	1	NUM
ejpam-2759	232	26	)	)	PUNCT
ejpam-2759	232	27	,	,	PUNCT
ejpam-2759	232	28	if	if	PROPN
ejpam-2759	232	29	ω	ω	NUM
ejpam-2759	232	30	∈	∈	PROPN
ejpam-2759	232	31	c([0	c([0	NOUN
ejpam-2759	232	32	,	,	PUNCT
ejpam-2759	232	33	t	t	X
ejpam-2759	232	34	]	]	PUNCT
ejpam-2759	232	35	;	;	PUNCT
ejpam-2759	232	36	l1(ω)ns	l1(ω)ns	ADJ
ejpam-2759	232	37	)	)	PUNCT
ejpam-2759	232	38	∩	∩	PROPN
ejpam-2759	232	39	l1(0	l1(0	PROPN
ejpam-2759	232	40	,	,	PUNCT
ejpam-2759	232	41	t	t	PROPN
ejpam-2759	232	42	;	;	PUNCT
ejpam-2759	232	43	w	w	PROPN
ejpam-2759	232	44	1,1(ω)ns	1,1(ω)ns	NUM
ejpam-2759	232	45	)	)	PUNCT
ejpam-2759	232	46	,	,	PUNCT
ejpam-2759	232	47	φ	φ	PROPN
ejpam-2759	232	48	∈	∈	PROPN
ejpam-2759	232	49	l∞(0	l∞(0	PRON
ejpam-2759	232	50	,	,	PUNCT
ejpam-2759	232	51	t	t	PROPN
ejpam-2759	232	52	;	;	PUNCT
ejpam-2759	232	53	w	w	PROPN
ejpam-2759	232	54	1,∞	1,∞	NUM
ejpam-2759	232	55	0	0	NUM
ejpam-2759	232	56	(	(	PUNCT
ejpam-2759	232	57	ω	ω	NOUN
ejpam-2759	232	58	)	)	PUNCT
ejpam-2759	232	59	)	)	PUNCT
ejpam-2759	232	60	,	,	PUNCT
ejpam-2759	232	61	s(ω	s(ω	PROPN
ejpam-2759	232	62	,	,	PUNCT
ejpam-2759	232	63	φ	φ	NUM
ejpam-2759	232	64	)	)	PUNCT
ejpam-2759	232	65	∈	∈	PROPN
ejpam-2759	232	66	l1(qt	l1(qt	PROPN
ejpam-2759	232	67	)	)	PUNCT
ejpam-2759	232	68	ns	ns	ADJ
ejpam-2759	232	69	,	,	PUNCT
ejpam-2759	232	70	and	and	CCONJ
ejpam-2759	232	71	for	for	ADP
ejpam-2759	232	72	all	all	PRON
ejpam-2759	232	73	ψ	ψ	X
ejpam-2759	232	74	∈	∈	PROPN
ejpam-2759	232	75	d	d	NOUN
ejpam-2759	232	76	,	,	PUNCT
ejpam-2759	232	77	−	−	PROPN
ejpam-2759	232	78	∫	∫	PROPN
ejpam-2759	232	79	ω	ω	PROPN
ejpam-2759	232	80	ωi,0ψ(0	ωi,0ψ(0	PROPN
ejpam-2759	232	81	)	)	PUNCT
ejpam-2759	233	1	+	+	CCONJ
ejpam-2759	233	2	∫	∫	X
ejpam-2759	233	3	qt	qt	X
ejpam-2759	234	1	[	[	X
ejpam-2759	234	2	−ψtωi	−ψtωi	NOUN
ejpam-2759	234	3	+	+	CCONJ
ejpam-2759	234	4	di∇ωi∇ψ	di∇ωi∇ψ	PROPN
ejpam-2759	234	5	+	+	NOUN
ejpam-2759	234	6	miωi∇φ∇ψ	miωi∇φ∇ψ	PROPN
ejpam-2759	234	7	]	]	X
ejpam-2759	234	8	≥	≥	NUM
ejpam-2759	234	9	∫	∫	PROPN
ejpam-2759	234	10	qt	qt	PROPN
ejpam-2759	234	11	si(ω	si(ω	PROPN
ejpam-2759	234	12	,	,	PUNCT
ejpam-2759	234	13	φ)ψ	φ)ψ	PUNCT
ejpam-2759	234	14	for	for	ADP
ejpam-2759	234	15	all	all	DET
ejpam-2759	234	16	θ	θ	PROPN
ejpam-2759	234	17	∈	∈	PROPN
ejpam-2759	234	18	d(ω	d(ω	PROPN
ejpam-2759	234	19	)	)	PUNCT
ejpam-2759	234	20	and	and	CCONJ
ejpam-2759	234	21	t	t	PROPN
ejpam-2759	234	22	∈]0	∈]0	ADV
ejpam-2759	234	23	,	,	PUNCT
ejpam-2759	234	24	t	t	PROPN
ejpam-2759	235	1	[	[	X
ejpam-2759	235	2	∫	∫	PROPN
ejpam-2759	235	3	ω	ω	PROPN
ejpam-2759	235	4	ε∇φ∇θ	ε∇φ∇θ	PROPN
ejpam-2759	235	5	=	=	SYM
ejpam-2759	236	1	∫	∫	PROPN
ejpam-2759	236	2	ω	ω	NUM
ejpam-2759	236	3	f	f	PROPN
ejpam-2759	236	4	(	(	PUNCT
ejpam-2759	236	5	ω)θ	ω)θ	NOUN
ejpam-2759	236	6	φ(0	φ(0	ADJ
ejpam-2759	236	7	,	,	PUNCT
ejpam-2759	236	8	x	x	NOUN
ejpam-2759	236	9	)	)	PUNCT
ejpam-2759	236	10	=	=	SYM
ejpam-2759	236	11	φ0(x	φ0(x	NOUN
ejpam-2759	236	12	)	)	PUNCT
ejpam-2759	236	13	in	in	ADP
ejpam-2759	236	14	ω	ω	PROPN
ejpam-2759	236	15	(	(	PUNCT
ejpam-2759	236	16	16	16	NUM
ejpam-2759	236	17	)	)	PUNCT
ejpam-2759	236	18	theorem	theorem	NOUN
ejpam-2759	236	19	2	2	NUM
ejpam-2759	236	20	.	.	X
ejpam-2759	237	1	let	let	VERB
ejpam-2759	237	2	(	(	PUNCT
ejpam-2759	237	3	ωn	ωn	X
ejpam-2759	237	4	,	,	PUNCT
ejpam-2759	237	5	φn	φn	NOUN
ejpam-2759	237	6	)	)	PUNCT
ejpam-2759	237	7	=	=	SYM
ejpam-2759	237	8	(	(	PUNCT
ejpam-2759	237	9	ω1,n	ω1,n	PROPN
ejpam-2759	237	10	,	,	PUNCT
ejpam-2759	237	11	...	...	PUNCT
ejpam-2759	237	12	,	,	PUNCT
ejpam-2759	237	13	ωns	ωns	PROPN
ejpam-2759	237	14	,	,	PUNCT
ejpam-2759	237	15	n	n	CCONJ
ejpam-2759	237	16	,	,	PUNCT
ejpam-2759	237	17	φn	φn	NOUN
ejpam-2759	237	18	)	)	PUNCT
ejpam-2759	237	19	be	be	AUX
ejpam-2759	237	20	a	a	DET
ejpam-2759	237	21	nonnegative	nonnegative	ADJ
ejpam-2759	237	22	solution	solution	NOUN
ejpam-2759	237	23	to	to	ADP
ejpam-2759	237	24	the	the	DET
ejpam-2759	237	25	approximate	approximate	ADJ
ejpam-2759	237	26	system	system	NOUN
ejpam-2759	237	27	(	(	PUNCT
ejpam-2759	237	28	6	6	NUM
ejpam-2759	237	29	)	)	PUNCT
ejpam-2759	237	30	satisfying	satisfy	VERB
ejpam-2759	237	31	(	(	PUNCT
ejpam-2759	237	32	11	11	NUM
ejpam-2759	237	33	)	)	PUNCT
ejpam-2759	237	34	and	and	CCONJ
ejpam-2759	237	35	the	the	DET
ejpam-2759	237	36	hypothesis	hypothesis	NOUN
ejpam-2759	237	37	of	of	ADP
ejpam-2759	237	38	theorem	theorem	NOUN
ejpam-2759	237	39	1	1	NUM
ejpam-2759	237	40	.	.	PUNCT
ejpam-2759	238	1	then	then	ADV
ejpam-2759	238	2	up	up	ADP
ejpam-2759	238	3	to	to	ADP
ejpam-2759	238	4	a	a	DET
ejpam-2759	238	5	subsequence	subsequence	NOUN
ejpam-2759	238	6	of	of	ADP
ejpam-2759	238	7	(	(	PUNCT
ejpam-2759	238	8	ωn	ωn	X
ejpam-2759	238	9	)	)	PUNCT
ejpam-2759	238	10	also	also	ADV
ejpam-2759	238	11	denoted	denote	VERB
ejpam-2759	238	12	by	by	ADP
ejpam-2759	238	13	ωn	ωn	ADP
ejpam-2759	238	14	converges	converge	NOUN
ejpam-2759	238	15	in	in	ADP
ejpam-2759	238	16	l1(qt	l1(qt	PROPN
ejpam-2759	238	17	)	)	PUNCT
ejpam-2759	238	18	ns	ns	NUM
ejpam-2759	238	19	and	and	CCONJ
ejpam-2759	238	20	almost	almost	ADV
ejpam-2759	238	21	everywhere	everywhere	ADV
ejpam-2759	238	22	in	in	ADP
ejpam-2759	238	23	qt	qt	NOUN
ejpam-2759	238	24	to	to	ADP
ejpam-2759	238	25	a	a	DET
ejpam-2759	238	26	supersolution	supersolution	NOUN
ejpam-2759	238	27	of	of	ADP
ejpam-2759	238	28	system	system	NOUN
ejpam-2759	238	29	(	(	PUNCT
ejpam-2759	238	30	1	1	X
ejpam-2759	238	31	)	)	PUNCT
ejpam-2759	238	32	given	give	VERB
ejpam-2759	238	33	by	by	ADP
ejpam-2759	238	34	(	(	PUNCT
ejpam-2759	238	35	16	16	NUM
ejpam-2759	238	36	)	)	PUNCT
ejpam-2759	238	37	,	,	PUNCT
ejpam-2759	238	38	which	which	PRON
ejpam-2759	238	39	is	be	AUX
ejpam-2759	238	40	equivalent	equivalent	ADJ
ejpam-2759	238	41	to	to	ADP
ejpam-2759	238	42	the	the	DET
ejpam-2759	238	43	following	follow	VERB
ejpam-2759	238	44	definition	definition	PROPN
ejpam-2759	238	45	z	z	PROPN
ejpam-2759	238	46	∈	∈	PROPN
ejpam-2759	238	47	c([0	c([0	PROPN
ejpam-2759	238	48	,	,	PUNCT
ejpam-2759	238	49	t	t	X
ejpam-2759	238	50	]	]	PUNCT
ejpam-2759	238	51	;	;	PUNCT
ejpam-2759	238	52	l1(ω)ns	l1(ω)ns	ADJ
ejpam-2759	238	53	)	)	PUNCT
ejpam-2759	238	54	∩	∩	PROPN
ejpam-2759	238	55	l1(0	l1(0	PROPN
ejpam-2759	238	56	,	,	PUNCT
ejpam-2759	238	57	t	t	PROPN
ejpam-2759	238	58	;	;	PUNCT
ejpam-2759	238	59	w	w	PROPN
ejpam-2759	238	60	1,1(ω)ns	1,1(ω)ns	NUM
ejpam-2759	238	61	)	)	PUNCT
ejpam-2759	238	62	,	,	PUNCT
ejpam-2759	238	63	φ	φ	PROPN
ejpam-2759	238	64	∈	∈	PROPN
ejpam-2759	238	65	l∞(0	l∞(0	PRON
ejpam-2759	238	66	,	,	PUNCT
ejpam-2759	238	67	t	t	PROPN
ejpam-2759	238	68	;	;	PUNCT
ejpam-2759	238	69	w	w	PROPN
ejpam-2759	238	70	1,∞	1,∞	NUM
ejpam-2759	238	71	0	0	NUM
ejpam-2759	238	72	(	(	PUNCT
ejpam-2759	238	73	ω	ω	NOUN
ejpam-2759	238	74	)	)	PUNCT
ejpam-2759	238	75	)	)	PUNCT
ejpam-2759	238	76	,	,	PUNCT
ejpam-2759	238	77	s(z	s(z	PROPN
ejpam-2759	238	78	,	,	PUNCT
ejpam-2759	238	79	φ	φ	NUM
ejpam-2759	238	80	)	)	PUNCT
ejpam-2759	238	81	∈	∈	PROPN
ejpam-2759	238	82	l1(qt	l1(qt	PROPN
ejpam-2759	238	83	)	)	PUNCT
ejpam-2759	238	84	ns	ns	ADJ
ejpam-2759	238	85	,	,	PUNCT
ejpam-2759	238	86	and	and	CCONJ
ejpam-2759	238	87	for	for	ADP
ejpam-2759	238	88	all	all	PRON
ejpam-2759	238	89	ψ	ψ	X
ejpam-2759	238	90	∈	∈	PROPN
ejpam-2759	238	91	d	d	NOUN
ejpam-2759	238	92	,	,	PUNCT
ejpam-2759	238	93	−	−	PROPN
ejpam-2759	238	94	∫	∫	PROPN
ejpam-2759	238	95	ω(qi,0zi,0)ψ(0	ω(qi,0zi,0)ψ(0	PROPN
ejpam-2759	238	96	)	)	PUNCT
ejpam-2759	239	1	+	+	CCONJ
ejpam-2759	239	2	∫	∫	X
ejpam-2759	239	3	qt	qt	X
ejpam-2759	239	4	[	[	X
ejpam-2759	239	5	−ψt(qizi	−ψt(qizi	PROPN
ejpam-2759	239	6	)	)	PUNCT
ejpam-2759	240	1	+	+	CCONJ
ejpam-2759	240	2	diqi∇zi∇ψ	diqi∇zi∇ψ	X
ejpam-2759	240	3	]	]	X
ejpam-2759	240	4	≥	≥	NUM
ejpam-2759	240	5	∫	∫	PROPN
ejpam-2759	240	6	qt	qt	PROPN
ejpam-2759	240	7	si(z	si(z	NOUN
ejpam-2759	240	8	,	,	PUNCT
ejpam-2759	240	9	φ)ψ	φ)ψ	PUNCT
ejpam-2759	240	10	for	for	ADP
ejpam-2759	240	11	all	all	DET
ejpam-2759	240	12	θ	θ	PROPN
ejpam-2759	240	13	∈	∈	PROPN
ejpam-2759	240	14	d(ω	d(ω	PROPN
ejpam-2759	240	15	)	)	PUNCT
ejpam-2759	240	16	and	and	CCONJ
ejpam-2759	240	17	t	t	PROPN
ejpam-2759	240	18	∈]0	∈]0	ADV
ejpam-2759	240	19	,	,	PUNCT
ejpam-2759	240	20	t	t	PROPN
ejpam-2759	241	1	[	[	X
ejpam-2759	241	2	∫	∫	PROPN
ejpam-2759	241	3	ω	ω	PROPN
ejpam-2759	241	4	ε∇φ∇θ	ε∇φ∇θ	PROPN
ejpam-2759	241	5	=	=	SYM
ejpam-2759	242	1	∫	∫	PROPN
ejpam-2759	243	1	ω	ω	NUM
ejpam-2759	243	2	f	f	PROPN
ejpam-2759	243	3	(	(	PUNCT
ejpam-2759	243	4	qz)θ	qz)θ	PROPN
ejpam-2759	243	5	φ(0	φ(0	PROPN
ejpam-2759	243	6	,	,	PUNCT
ejpam-2759	243	7	x	x	NOUN
ejpam-2759	243	8	)	)	PUNCT
ejpam-2759	243	9	=	=	SYM
ejpam-2759	243	10	φ0(x	φ0(x	NOUN
ejpam-2759	243	11	)	)	PUNCT
ejpam-2759	243	12	in	in	ADP
ejpam-2759	243	13	ω	ω	PROPN
ejpam-2759	243	14	(	(	PUNCT
ejpam-2759	243	15	17	17	NUM
ejpam-2759	243	16	)	)	PUNCT
ejpam-2759	243	17	n.	n.	PROPN
ejpam-2759	243	18	alaa	alaa	PROPN
ejpam-2759	243	19	,	,	PUNCT
ejpam-2759	243	20	f.	f.	PROPN
ejpam-2759	243	21	aqel	aqel	PROPN
ejpam-2759	243	22	/	/	SYM
ejpam-2759	243	23	eur	eur	PROPN
ejpam-2759	243	24	.	.	PUNCT
ejpam-2759	244	1	j.	j.	PROPN
ejpam-2759	244	2	pure	pure	PROPN
ejpam-2759	244	3	appl	appl	PROPN
ejpam-2759	244	4	.	.	PROPN
ejpam-2759	244	5	math	math	PROPN
ejpam-2759	244	6	,	,	PUNCT
ejpam-2759	244	7	10	10	NUM
ejpam-2759	244	8	(	(	PUNCT
ejpam-2759	244	9	2	2	NUM
ejpam-2759	244	10	)	)	PUNCT
ejpam-2759	244	11	(	(	PUNCT
ejpam-2759	244	12	2017	2017	NUM
ejpam-2759	244	13	)	)	PUNCT
ejpam-2759	244	14	,	,	PUNCT
ejpam-2759	244	15	272	272	NUM
ejpam-2759	244	16	-	-	SYM
ejpam-2759	244	17	294	294	NUM
ejpam-2759	244	18	283	283	NUM
ejpam-2759	244	19	proof	proof	NOUN
ejpam-2759	244	20	.	.	PUNCT
ejpam-2759	245	1	(	(	PUNCT
ejpam-2759	245	2	existence	existence	NOUN
ejpam-2759	245	3	of	of	ADP
ejpam-2759	245	4	supersolution	supersolution	NOUN
ejpam-2759	245	5	)	)	PUNCT
ejpam-2759	245	6	lemma	lemma	PROPN
ejpam-2759	245	7	3	3	NUM
ejpam-2759	245	8	.	.	PUNCT
ejpam-2759	246	1	[	[	X
ejpam-2759	246	2	17	17	NUM
ejpam-2759	246	3	]	]	PUNCT
ejpam-2759	246	4	let	let	VERB
ejpam-2759	246	5	ω	ω	PRON
ejpam-2759	246	6	be	be	AUX
ejpam-2759	246	7	an	an	DET
ejpam-2759	246	8	open	open	ADJ
ejpam-2759	246	9	bounded	bounded	ADJ
ejpam-2759	246	10	subset	subset	NOUN
ejpam-2759	246	11	of	of	ADP
ejpam-2759	246	12	rn	rn	PROPN
ejpam-2759	246	13	with	with	ADP
ejpam-2759	246	14	smooth	smooth	ADJ
ejpam-2759	246	15	boundary	boundary	NOUN
ejpam-2759	246	16	and	and	CCONJ
ejpam-2759	246	17	ωi	ωi	NOUN
ejpam-2759	246	18	,	,	PUNCT
ejpam-2759	246	19	n	n	PRON
ejpam-2759	246	20	solution	solution	NOUN
ejpam-2759	246	21	of	of	ADP
ejpam-2759	246	22	(	(	PUNCT
ejpam-2759	246	23	6	6	NUM
ejpam-2759	246	24	)	)	PUNCT
ejpam-2759	246	25	.	.	PUNCT
ejpam-2759	247	1	then	then	ADV
ejpam-2759	247	2	for	for	ADP
ejpam-2759	247	3	every	every	DET
ejpam-2759	247	4	t	t	NOUN
ejpam-2759	247	5	>	>	X
ejpam-2759	247	6	0	0	PROPN
ejpam-2759	247	7	,	,	PUNCT
ejpam-2759	247	8	the	the	DET
ejpam-2759	247	9	mapping	mapping	NOUN
ejpam-2759	247	10	(	(	PUNCT
ejpam-2759	247	11	ωni,0	ωni,0	PROPN
ejpam-2759	247	12	,	,	PUNCT
ejpam-2759	247	13	s	s	VERB
ejpam-2759	247	14	n	n	NOUN
ejpam-2759	247	15	i	i	PRON
ejpam-2759	247	16	)	)	PUNCT
ejpam-2759	248	1	∈	∈	PROPN
ejpam-2759	248	2	l1(ω)×	l1(ω)×	PROPN
ejpam-2759	248	3	l1(qt	l1(qt	PROPN
ejpam-2759	248	4	)	)	PUNCT
ejpam-2759	248	5	→	→	SYM
ejpam-2759	248	6	ωi	ωi	PROPN
ejpam-2759	248	7	,	,	PUNCT
ejpam-2759	248	8	n	n	PRON
ejpam-2759	248	9	∈	∈	NOUN
ejpam-2759	248	10	l1(qt	l1(qt	PROPN
ejpam-2759	248	11	)	)	PUNCT
ejpam-2759	248	12	.	.	PUNCT
ejpam-2759	249	1	(	(	PUNCT
ejpam-2759	249	2	18	18	NUM
ejpam-2759	249	3	)	)	PUNCT
ejpam-2759	249	4	is	be	AUX
ejpam-2759	249	5	compact	compact	ADJ
ejpam-2759	249	6	from	from	ADP
ejpam-2759	249	7	l1(ω	l1(ω	PROPN
ejpam-2759	249	8	)	)	PUNCT
ejpam-2759	249	9	×	×	NOUN
ejpam-2759	249	10	l1(qt	l1(qt	PROPN
ejpam-2759	249	11	)	)	PUNCT
ejpam-2759	249	12	into	into	ADP
ejpam-2759	249	13	l1(qt	l1(qt	PROPN
ejpam-2759	249	14	)	)	PUNCT
ejpam-2759	249	15	,	,	PUNCT
ejpam-2759	249	16	and	and	CCONJ
ejpam-2759	249	17	even	even	ADV
ejpam-2759	249	18	into	into	ADP
ejpam-2759	249	19	l1(0	l1(0	PROPN
ejpam-2759	249	20	,	,	PUNCT
ejpam-2759	249	21	t	t	PROPN
ejpam-2759	249	22	;	;	PUNCT
ejpam-2759	249	23	w	w	PROPN
ejpam-2759	249	24	1,1(ω	1,1(ω	NUM
ejpam-2759	249	25	)	)	PUNCT
ejpam-2759	249	26	)	)	PUNCT
ejpam-2759	249	27	,	,	PUNCT
ejpam-2759	249	28	and	and	CCONJ
ejpam-2759	249	29	for	for	ADP
ejpam-2759	249	30	the	the	DET
ejpam-2759	249	31	compactness	compactness	NOUN
ejpam-2759	249	32	of	of	ADP
ejpam-2759	249	33	the	the	DET
ejpam-2759	249	34	trace	trace	NOUN
ejpam-2759	249	35	,	,	PUNCT
ejpam-2759	249	36	we	we	PRON
ejpam-2759	249	37	use	use	VERB
ejpam-2759	249	38	the	the	DET
ejpam-2759	249	39	continuity	continuity	NOUN
ejpam-2759	249	40	of	of	ADP
ejpam-2759	249	41	the	the	DET
ejpam-2759	249	42	trace	trace	NOUN
ejpam-2759	249	43	operator	operator	NOUN
ejpam-2759	249	44	from	from	ADP
ejpam-2759	249	45	w	w	PROPN
ejpam-2759	249	46	1,1(ω	1,1(ω	NUM
ejpam-2759	249	47	)	)	PUNCT
ejpam-2759	249	48	into	into	ADP
ejpam-2759	249	49	l1(∂ω	l1(∂ω	NUM
ejpam-2759	249	50	)	)	PUNCT
ejpam-2759	249	51	.	.	PUNCT
ejpam-2759	250	1	then	then	ADV
ejpam-2759	250	2	the	the	DET
ejpam-2759	250	3	trace	trace	NOUN
ejpam-2759	250	4	mapping	mapping	NOUN
ejpam-2759	250	5	(	(	PUNCT
ejpam-2759	250	6	ωni,0	ωni,0	PROPN
ejpam-2759	250	7	,	,	PUNCT
ejpam-2759	250	8	s	s	VERB
ejpam-2759	250	9	n	n	NOUN
ejpam-2759	250	10	i	i	NOUN
ejpam-2759	250	11	)	)	PUNCT
ejpam-2759	250	12	→	→	SYM
ejpam-2759	250	13	(	(	PUNCT
ejpam-2759	250	14	ωi	ωi	NOUN
ejpam-2759	250	15	,	,	PUNCT
ejpam-2759	250	16	n)|σt	n)|σt	PROPN
ejpam-2759	250	17	∈	∈	PROPN
ejpam-2759	250	18	l1(σt	l1(σt	PROPN
ejpam-2759	250	19	)	)	PUNCT
ejpam-2759	250	20	is	be	AUX
ejpam-2759	250	21	also	also	ADV
ejpam-2759	250	22	compact	compact	ADJ
ejpam-2759	250	23	.	.	PUNCT
ejpam-2759	251	1	according	accord	VERB
ejpam-2759	251	2	to	to	ADP
ejpam-2759	251	3	the	the	DET
ejpam-2759	251	4	a	a	DET
ejpam-2759	251	5	priori	priori	ADJ
ejpam-2759	251	6	estimate	estimate	NOUN
ejpam-2759	251	7	(	(	PUNCT
ejpam-2759	251	8	11	11	NUM
ejpam-2759	251	9	)	)	PUNCT
ejpam-2759	251	10	and	and	CCONJ
ejpam-2759	251	11	to	to	ADP
ejpam-2759	251	12	the	the	DET
ejpam-2759	251	13	compactness	compactness	NOUN
ejpam-2759	251	14	lemma	lemma	PROPN
ejpam-2759	251	15	,	,	PUNCT
ejpam-2759	251	16	there	there	PRON
ejpam-2759	251	17	exists	exist	VERB
ejpam-2759	251	18	ω	ω	PROPN
ejpam-2759	251	19	∈	∈	PROPN
ejpam-2759	251	20	l1(qt	l1(qt	PROPN
ejpam-2759	251	21	)	)	PUNCT
ejpam-2759	251	22	ns	ns	INTJ
ejpam-2759	251	23	with	with	ADP
ejpam-2759	251	24	∇ω	∇ω	PROPN
ejpam-2759	251	25	∈	∈	PROPN
ejpam-2759	252	1	[	[	X
ejpam-2759	252	2	l1(qt	l1(qt	PROPN
ejpam-2759	252	3	)	)	PUNCT
ejpam-2759	252	4	n	n	NOUN
ejpam-2759	252	5	]	]	X
ejpam-2759	252	6	ns	ns	NUM
ejpam-2759	252	7	such	such	ADJ
ejpam-2759	252	8	that	that	PRON
ejpam-2759	252	9	,	,	PUNCT
ejpam-2759	252	10	up	up	ADP
ejpam-2759	252	11	to	to	ADP
ejpam-2759	252	12	a	a	DET
ejpam-2759	252	13	subsequence	subsequence	NOUN
ejpam-2759	252	14	,	,	PUNCT
ejpam-2759	252	15	one	one	PRON
ejpam-2759	252	16	may	may	AUX
ejpam-2759	252	17	assume	assume	VERB
ejpam-2759	252	18	that	that	SCONJ
ejpam-2759	252	19	{	{	PUNCT
ejpam-2759	252	20	ωn	ωn	PROPN
ejpam-2759	252	21	→	→	SYM
ejpam-2759	252	22	ω	ω	PROPN
ejpam-2759	252	23	in	in	ADP
ejpam-2759	252	24	l1(qt	l1(qt	PROPN
ejpam-2759	252	25	)	)	PUNCT
ejpam-2759	252	26	ns	ns	PROPN
ejpam-2759	252	27	and	and	CCONJ
ejpam-2759	252	28	a.e	a.e	NOUN
ejpam-2759	252	29	in	in	ADP
ejpam-2759	252	30	qt	qt	NOUN
ejpam-2759	252	31	,	,	PUNCT
ejpam-2759	252	32	∇ωn	∇ωn	PROPN
ejpam-2759	252	33	→	→	PUNCT
ejpam-2759	252	34	∇ω	∇ω	ADV
ejpam-2759	252	35	in	in	ADP
ejpam-2759	252	36	[	[	X
ejpam-2759	252	37	l1(qt	l1(qt	PROPN
ejpam-2759	252	38	)	)	PUNCT
ejpam-2759	252	39	n	n	NOUN
ejpam-2759	252	40	]	]	PUNCT
ejpam-2759	252	41	ns	ns	NUM
ejpam-2759	252	42	ω	ω	PROPN
ejpam-2759	252	43	∈	∈	PROPN
ejpam-2759	252	44	l1(0	l1(0	PROPN
ejpam-2759	252	45	,	,	PUNCT
ejpam-2759	252	46	t	t	PROPN
ejpam-2759	252	47	;	;	PUNCT
ejpam-2759	252	48	w	w	ADP
ejpam-2759	252	49	1,1(ω))ns	1,1(ω))ns	NUM
ejpam-2759	252	50	.	.	PUNCT
ejpam-2759	253	1	(	(	PUNCT
ejpam-2759	253	2	19	19	NUM
ejpam-2759	253	3	)	)	PUNCT
ejpam-2759	253	4	now	now	ADV
ejpam-2759	253	5	,	,	PUNCT
ejpam-2759	253	6	we	we	PRON
ejpam-2759	253	7	need	need	VERB
ejpam-2759	253	8	to	to	PART
ejpam-2759	253	9	prove	prove	VERB
ejpam-2759	253	10	that	that	SCONJ
ejpam-2759	253	11	the	the	DET
ejpam-2759	253	12	nonlinearities	nonlinearitie	NOUN
ejpam-2759	253	13	(	(	PUNCT
ejpam-2759	253	14	sni	sni	PROPN
ejpam-2759	253	15	)	)	PUNCT
ejpam-2759	253	16	1≤≤ns	1≤≤ns	PROPN
ejpam-2759	253	17	and	and	CCONJ
ejpam-2759	253	18	(	(	PUNCT
ejpam-2759	253	19	si)1≤i≤ns	si)1≤i≤n	NOUN
ejpam-2759	253	20	belong	belong	VERB
ejpam-2759	253	21	to	to	ADP
ejpam-2759	253	22	l1	l1	PROPN
ejpam-2759	253	23	.	.	PUNCT
ejpam-2759	254	1	so	so	ADV
ejpam-2759	254	2	,	,	PUNCT
ejpam-2759	254	3	first	first	ADV
ejpam-2759	254	4	we	we	PRON
ejpam-2759	254	5	define	define	VERB
ejpam-2759	254	6	the	the	DET
ejpam-2759	254	7	function	function	NOUN
ejpam-2759	254	8	ηnm	ηnm	VERB
ejpam-2759	254	9	such	such	ADJ
ejpam-2759	254	10	that	that	DET
ejpam-2759	254	11	ηnm	ηnm	NOUN
ejpam-2759	254	12	=	=	SYM
ejpam-2759	254	13	sup	sup	NOUN
ejpam-2759	254	14	0≤|r|≤m	0≤|r|≤m	NUM
ejpam-2759	254	15	,	,	PUNCT
ejpam-2759	254	16	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	254	17	|sni	|sni	NOUN
ejpam-2759	254	18	(	(	PUNCT
ejpam-2759	254	19	t	t	PROPN
ejpam-2759	254	20	,	,	PUNCT
ejpam-2759	254	21	x	x	PRON
ejpam-2759	254	22	,	,	PUNCT
ejpam-2759	254	23	r)−	r)−	PROPN
ejpam-2759	254	24	si(t	si(t	NOUN
ejpam-2759	254	25	,	,	PUNCT
ejpam-2759	254	26	x	x	NOUN
ejpam-2759	254	27	,	,	PUNCT
ejpam-2759	254	28	r)|	r)|	ADJ
ejpam-2759	254	29	where	where	SCONJ
ejpam-2759	254	30	ηnm	ηnm	NOUN
ejpam-2759	254	31	→	→	SYM
ejpam-2759	254	32	0	0	NUM
ejpam-2759	254	33	almost	almost	ADV
ejpam-2759	254	34	everywhere	everywhere	ADV
ejpam-2759	254	35	in	in	ADP
ejpam-2759	254	36	qt	qt	NOUN
ejpam-2759	254	37	and	and	CCONJ
ejpam-2759	254	38	ηnm	ηnm	AUX
ejpam-2759	254	39	→	→	SYM
ejpam-2759	254	40	0	0	NUM
ejpam-2759	254	41	in	in	ADP
ejpam-2759	254	42	l1(qt	l1(qt	PROPN
ejpam-2759	254	43	)	)	PUNCT
ejpam-2759	254	44	.	.	PUNCT
ejpam-2759	255	1	indeed	indeed	ADV
ejpam-2759	255	2	,	,	PUNCT
ejpam-2759	255	3	since	since	SCONJ
ejpam-2759	255	4	ηnm	ηnm	VERB
ejpam-2759	255	5	≤	≤	NUM
ejpam-2759	255	6	sup	sup	NOUN
ejpam-2759	255	7	0≤|r|≤m	0≤|r|≤m	NUM
ejpam-2759	255	8	,	,	PUNCT
ejpam-2759	255	9	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	255	10	χ[−σn	χ[−σn	NOUN
ejpam-2759	255	11	<	<	X
ejpam-2759	255	12	si	si	X
ejpam-2759	255	13	<	<	X
ejpam-2759	255	14	n]|si(t	n]|si(t	PROPN
ejpam-2759	255	15	,	,	PUNCT
ejpam-2759	255	16	x	x	NOUN
ejpam-2759	255	17	,	,	PUNCT
ejpam-2759	255	18	r)|	r)|	PROPN
ejpam-2759	255	19	.	.	PROPN
ejpam-2759	256	1	from	from	ADP
ejpam-2759	256	2	the	the	DET
ejpam-2759	256	3	lipschitz	lipschitz	NOUN
ejpam-2759	256	4	property	property	NOUN
ejpam-2759	256	5	(	(	PUNCT
ejpam-2759	256	6	h3	h3	NOUN
ejpam-2759	256	7	)	)	PUNCT
ejpam-2759	256	8	,	,	PUNCT
ejpam-2759	256	9	we	we	PRON
ejpam-2759	256	10	find	find	VERB
ejpam-2759	256	11	the	the	DET
ejpam-2759	256	12	following	follow	VERB
ejpam-2759	256	13	inequality	inequality	NOUN
ejpam-2759	256	14	|r|	|r|	NOUN
ejpam-2759	256	15	≤m	≤m	PROPN
ejpam-2759	256	16	⇒	⇒	VERB
ejpam-2759	256	17	|si(t	|si(t	PROPN
ejpam-2759	256	18	,	,	PUNCT
ejpam-2759	256	19	x	x	PRON
ejpam-2759	256	20	,	,	PUNCT
ejpam-2759	256	21	r)|	r)|	ADJ
ejpam-2759	256	22	≤	≤	NUM
ejpam-2759	256	23	|si(t	|si(t	PROPN
ejpam-2759	256	24	,	,	PUNCT
ejpam-2759	256	25	x	x	X
ejpam-2759	256	26	,	,	PUNCT
ejpam-2759	256	27	0)|+k(t	0)|+k(t	PROPN
ejpam-2759	256	28	,	,	PUNCT
ejpam-2759	256	29	x	x	NOUN
ejpam-2759	256	30	,	,	PUNCT
ejpam-2759	256	31	m)m	m)m	NOUN
ejpam-2759	256	32	.	.	PUNCT
ejpam-2759	257	1	by	by	ADP
ejpam-2759	257	2	using	use	VERB
ejpam-2759	257	3	the	the	DET
ejpam-2759	257	4	fact	fact	NOUN
ejpam-2759	257	5	that	that	SCONJ
ejpam-2759	257	6	k(.,m	k(.,m	PROPN
ejpam-2759	257	7	)	)	PUNCT
ejpam-2759	257	8	,	,	PUNCT
ejpam-2759	257	9	si	si	X
ejpam-2759	257	10	(	(	PUNCT
ejpam-2759	257	11	.	.	NUM
ejpam-2759	257	12	,	,	PUNCT
ejpam-2759	257	13	0	0	X
ejpam-2759	257	14	)	)	PUNCT
ejpam-2759	257	15	∈	∈	PROPN
ejpam-2759	257	16	l1(qt	l1(qt	PROPN
ejpam-2759	257	17	)	)	PUNCT
ejpam-2759	257	18	,	,	PUNCT
ejpam-2759	257	19	we	we	PRON
ejpam-2759	257	20	obtain	obtain	VERB
ejpam-2759	257	21	the	the	DET
ejpam-2759	257	22	required	require	VERB
ejpam-2759	257	23	result	result	NOUN
ejpam-2759	257	24	.	.	PUNCT
ejpam-2759	258	1	it	it	PRON
ejpam-2759	258	2	means	mean	VERB
ejpam-2759	258	3	that	that	SCONJ
ejpam-2759	258	4	ηnm	ηnm	NOUN
ejpam-2759	258	5	→	→	SYM
ejpam-2759	258	6	0	0	NUM
ejpam-2759	258	7	in	in	ADP
ejpam-2759	258	8	l1(qt	l1(qt	PROPN
ejpam-2759	258	9	)	)	PUNCT
ejpam-2759	258	10	and	and	CCONJ
ejpam-2759	258	11	almost	almost	ADV
ejpam-2759	258	12	everywhere	everywhere	ADV
ejpam-2759	258	13	in	in	ADP
ejpam-2759	258	14	qt	qt	NOUN
ejpam-2759	258	15	.	.	PUNCT
ejpam-2759	259	1	now	now	ADV
ejpam-2759	259	2	,	,	PUNCT
ejpam-2759	259	3	thanks	thank	NOUN
ejpam-2759	259	4	to	to	ADP
ejpam-2759	259	5	the	the	DET
ejpam-2759	259	6	continuity	continuity	NOUN
ejpam-2759	259	7	of	of	ADP
ejpam-2759	259	8	si	si	X
ejpam-2759	259	9	(	(	PUNCT
ejpam-2759	259	10	.	.	PUNCT
ejpam-2759	259	11	,	,	PUNCT
ejpam-2759	259	12	.	.	PUNCT
ejpam-2759	259	13	,	,	PUNCT
ejpam-2759	259	14	r	r	X
ejpam-2759	259	15	)	)	PUNCT
ejpam-2759	259	16	where	where	SCONJ
ejpam-2759	259	17	r	r	NOUN
ejpam-2759	259	18	∈	∈	PROPN
ejpam-2759	259	19	(	(	PUNCT
ejpam-2759	259	20	r+)ns	r+)ns	NOUN
ejpam-2759	259	21	,	,	PUNCT
ejpam-2759	259	22	we	we	PRON
ejpam-2759	259	23	also	also	ADV
ejpam-2759	259	24	have	have	VERB
ejpam-2759	259	25	sni	sni	PROPN
ejpam-2759	259	26	(	(	PUNCT
ejpam-2759	259	27	ωn	ωn	PROPN
ejpam-2759	259	28	,	,	PUNCT
ejpam-2759	259	29	φn)→	φn)→	PROPN
ejpam-2759	259	30	si(ω	si(ω	NOUN
ejpam-2759	259	31	,	,	PUNCT
ejpam-2759	259	32	φ	φ	NUM
ejpam-2759	259	33	)	)	PUNCT
ejpam-2759	259	34	a.e	a.e	NOUN
ejpam-2759	259	35	in	in	ADP
ejpam-2759	259	36	qt	qt	NOUN
ejpam-2759	259	37	(	(	PUNCT
ejpam-2759	259	38	20	20	NUM
ejpam-2759	259	39	)	)	PUNCT
ejpam-2759	259	40	and	and	CCONJ
ejpam-2759	259	41	by	by	ADP
ejpam-2759	259	42	fatou	fatou	NOUN
ejpam-2759	259	43	’s	’s	PART
ejpam-2759	259	44	lemma	lemma	PROPN
ejpam-2759	259	45	,	,	PUNCT
ejpam-2759	259	46	we	we	PRON
ejpam-2759	259	47	obtain∫	obtain∫	VERB
ejpam-2759	259	48	qt	qt	ADP
ejpam-2759	259	49	|si(ω	|si(ω	PROPN
ejpam-2759	259	50	,	,	PUNCT
ejpam-2759	259	51	φ)|	φ)|	VERB
ejpam-2759	259	52	≤	≤	PROPN
ejpam-2759	259	53	lim	lim	PROPN
ejpam-2759	259	54	n→	n→	PROPN
ejpam-2759	259	55	inf	inf	PROPN
ejpam-2759	260	1	+	+	PROPN
ejpam-2759	260	2	∞	∞	PROPN
ejpam-2759	260	3	∫	∫	NOUN
ejpam-2759	260	4	qt	qt	NOUN
ejpam-2759	260	5	|sni	|sni	PROPN
ejpam-2759	260	6	(	(	PUNCT
ejpam-2759	260	7	ωn	ωn	PROPN
ejpam-2759	260	8	,	,	PUNCT
ejpam-2759	260	9	φn)|	φn)|	NOUN
ejpam-2759	260	10	(	(	PUNCT
ejpam-2759	260	11	21	21	NUM
ejpam-2759	260	12	)	)	PUNCT
ejpam-2759	260	13	n.	n.	PROPN
ejpam-2759	260	14	alaa	alaa	PROPN
ejpam-2759	260	15	,	,	PUNCT
ejpam-2759	260	16	f.	f.	PROPN
ejpam-2759	260	17	aqel	aqel	PROPN
ejpam-2759	260	18	/	/	SYM
ejpam-2759	260	19	eur	eur	PROPN
ejpam-2759	260	20	.	.	PUNCT
ejpam-2759	261	1	j.	j.	PROPN
ejpam-2759	261	2	pure	pure	PROPN
ejpam-2759	261	3	appl	appl	PROPN
ejpam-2759	261	4	.	.	PROPN
ejpam-2759	261	5	math	math	PROPN
ejpam-2759	261	6	,	,	PUNCT
ejpam-2759	261	7	10	10	NUM
ejpam-2759	261	8	(	(	PUNCT
ejpam-2759	261	9	2	2	NUM
ejpam-2759	261	10	)	)	PUNCT
ejpam-2759	261	11	(	(	PUNCT
ejpam-2759	261	12	2017	2017	NUM
ejpam-2759	261	13	)	)	PUNCT
ejpam-2759	261	14	,	,	PUNCT
ejpam-2759	261	15	272	272	NUM
ejpam-2759	261	16	-	-	SYM
ejpam-2759	261	17	294	294	NUM
ejpam-2759	261	18	284	284	NUM
ejpam-2759	261	19	and	and	CCONJ
ejpam-2759	261	20	in	in	ADP
ejpam-2759	261	21	particular	particular	ADJ
ejpam-2759	261	22	,	,	PUNCT
ejpam-2759	261	23	we	we	PRON
ejpam-2759	261	24	have	have	VERB
ejpam-2759	261	25	si(ω	si(ω	NOUN
ejpam-2759	261	26	,	,	PUNCT
ejpam-2759	261	27	φ	φ	NUM
ejpam-2759	261	28	)	)	PUNCT
ejpam-2759	261	29	∈	∈	PROPN
ejpam-2759	261	30	l1(qt	l1(qt	PROPN
ejpam-2759	261	31	)	)	PUNCT
ejpam-2759	261	32	for	for	ADP
ejpam-2759	261	33	all	all	DET
ejpam-2759	261	34	1	1	NUM
ejpam-2759	261	35	≤	≤	NUM
ejpam-2759	261	36	i	i	PRON
ejpam-2759	261	37	≤	≤	NUM
ejpam-2759	261	38	ns	n	VERB
ejpam-2759	261	39	.	.	PUNCT
ejpam-2759	261	40	to	to	PART
ejpam-2759	261	41	accomplish	accomplish	VERB
ejpam-2759	261	42	the	the	DET
ejpam-2759	261	43	proof	proof	NOUN
ejpam-2759	261	44	and	and	CCONJ
ejpam-2759	261	45	in	in	ADP
ejpam-2759	261	46	order	order	NOUN
ejpam-2759	261	47	to	to	PART
ejpam-2759	261	48	pass	pass	VERB
ejpam-2759	261	49	to	to	ADP
ejpam-2759	261	50	the	the	DET
ejpam-2759	261	51	limit	limit	NOUN
ejpam-2759	261	52	in	in	ADP
ejpam-2759	261	53	the	the	DET
ejpam-2759	261	54	equation	equation	NOUN
ejpam-2759	261	55	,	,	PUNCT
ejpam-2759	261	56	we	we	PRON
ejpam-2759	261	57	will	will	AUX
ejpam-2759	261	58	need	need	VERB
ejpam-2759	261	59	the	the	DET
ejpam-2759	261	60	convergence	convergence	NOUN
ejpam-2759	261	61	in	in	ADP
ejpam-2759	261	62	l1(qt	l1(qt	PROPN
ejpam-2759	261	63	)	)	PUNCT
ejpam-2759	261	64	of	of	ADP
ejpam-2759	261	65	sni	sni	PROPN
ejpam-2759	261	66	(	(	PUNCT
ejpam-2759	261	67	ωn	ωn	PROPN
ejpam-2759	261	68	,	,	PUNCT
ejpam-2759	261	69	φn	φn	NOUN
ejpam-2759	261	70	)	)	PUNCT
ejpam-2759	261	71	,	,	PUNCT
ejpam-2759	261	72	which	which	PRON
ejpam-2759	261	73	is	be	AUX
ejpam-2759	261	74	not	not	PART
ejpam-2759	261	75	true	true	ADJ
ejpam-2759	261	76	in	in	ADP
ejpam-2759	261	77	general	general	ADJ
ejpam-2759	261	78	,	,	PUNCT
ejpam-2759	261	79	however	however	ADV
ejpam-2759	261	80	we	we	PRON
ejpam-2759	261	81	will	will	AUX
ejpam-2759	261	82	show	show	VERB
ejpam-2759	261	83	that	that	SCONJ
ejpam-2759	261	84	we	we	PRON
ejpam-2759	261	85	could	could	AUX
ejpam-2759	261	86	have	have	VERB
ejpam-2759	261	87	at	at	ADV
ejpam-2759	261	88	least	least	ADV
ejpam-2759	261	89	one	one	NUM
ejpam-2759	261	90	inequality	inequality	NOUN
ejpam-2759	261	91	in	in	ADP
ejpam-2759	261	92	the	the	DET
ejpam-2759	261	93	limit	limit	NOUN
ejpam-2759	261	94	so	so	SCONJ
ejpam-2759	261	95	this	this	PRON
ejpam-2759	261	96	is	be	AUX
ejpam-2759	261	97	the	the	DET
ejpam-2759	261	98	purpose	purpose	NOUN
ejpam-2759	261	99	of	of	ADP
ejpam-2759	261	100	the	the	DET
ejpam-2759	261	101	second	second	ADJ
ejpam-2759	261	102	theorem	theorem	NOUN
ejpam-2759	261	103	.	.	PUNCT
ejpam-2759	262	1	now	now	ADV
ejpam-2759	262	2	we	we	PRON
ejpam-2759	262	3	are	be	AUX
ejpam-2759	262	4	left	leave	VERB
ejpam-2759	262	5	with	with	ADP
ejpam-2759	262	6	the	the	DET
ejpam-2759	262	7	following	follow	VERB
ejpam-2759	262	8	step	step	NOUN
ejpam-2759	262	9	,	,	PUNCT
ejpam-2759	262	10	which	which	PRON
ejpam-2759	262	11	is	be	AUX
ejpam-2759	262	12	the	the	DET
ejpam-2759	262	13	boundedness	boundedness	NOUN
ejpam-2759	262	14	of	of	ADP
ejpam-2759	262	15	the	the	DET
ejpam-2759	262	16	gradient	gradient	ADJ
ejpam-2759	262	17	terms	term	NOUN
ejpam-2759	262	18	.	.	PUNCT
ejpam-2759	263	1	for	for	ADP
ejpam-2759	263	2	this	this	PRON
ejpam-2759	263	3	,	,	PUNCT
ejpam-2759	263	4	we	we	PRON
ejpam-2759	263	5	need	need	VERB
ejpam-2759	263	6	to	to	PART
ejpam-2759	263	7	ennunciate	ennunciate	VERB
ejpam-2759	263	8	the	the	DET
ejpam-2759	263	9	following	follow	VERB
ejpam-2759	263	10	lemma	lemma	PROPN
ejpam-2759	263	11	.	.	PUNCT
ejpam-2759	264	1	lemma	lemma	PROPN
ejpam-2759	264	2	4	4	X
ejpam-2759	264	3	.	.	PUNCT
ejpam-2759	265	1	let	let	VERB
ejpam-2759	265	2	(	(	PUNCT
ejpam-2759	265	3	7	7	NUM
ejpam-2759	265	4	)	)	PUNCT
ejpam-2759	265	5	and	and	CCONJ
ejpam-2759	265	6	(	(	PUNCT
ejpam-2759	265	7	11	11	NUM
ejpam-2759	265	8	)	)	PUNCT
ejpam-2759	265	9	be	be	AUX
ejpam-2759	265	10	satisfied	satisfied	ADJ
ejpam-2759	265	11	and	and	CCONJ
ejpam-2759	265	12	there	there	PRON
ejpam-2759	265	13	exists	exist	VERB
ejpam-2759	265	14	ε	ε	PROPN
ejpam-2759	265	15	>	>	X
ejpam-2759	265	16	0	0	PROPN
ejpam-2759	265	17	.	.	PUNCT
ejpam-2759	266	1	then	then	ADV
ejpam-2759	266	2	,	,	PUNCT
ejpam-2759	266	3	for	for	ADP
ejpam-2759	266	4	all	all	PRON
ejpam-2759	266	5	k	k	PROPN
ejpam-2759	266	6	>	>	X
ejpam-2759	266	7	0	0	PUNCT
ejpam-2759	266	8	and	and	CCONJ
ejpam-2759	266	9	n	n	PRON
ejpam-2759	266	10	≥	≥	NOUN
ejpam-2759	266	11	1	1	NUM
ejpam-2759	266	12	(	(	PUNCT
ejpam-2759	266	13	di	di	NOUN
ejpam-2759	266	14	−	−	PROPN
ejpam-2759	266	15	ε	ε	PROPN
ejpam-2759	266	16	)	)	PUNCT
ejpam-2759	266	17	∫	∫	PROPN
ejpam-2759	267	1	[	[	X
ejpam-2759	267	2	|qi	|qi	X
ejpam-2759	267	3	,	,	PUNCT
ejpam-2759	267	4	nzi	nzi	PROPN
ejpam-2759	267	5	,	,	PUNCT
ejpam-2759	267	6	n|≤k	n|≤k	PROPN
ejpam-2759	267	7	]	]	PUNCT
ejpam-2759	267	8	|qi	|qi	X
ejpam-2759	267	9	,	,	PUNCT
ejpam-2759	267	10	n∇zi	n∇zi	NUM
ejpam-2759	267	11	,	,	PUNCT
ejpam-2759	267	12	n|2	n|2	ADJ
ejpam-2759	267	13	≤	≤	PROPN
ejpam-2759	267	14	ck2	ck2	NOUN
ejpam-2759	267	15	+	+	CCONJ
ejpam-2759	267	16	k	k	PROPN
ejpam-2759	267	17	[	[	PUNCT
ejpam-2759	267	18	∫	∫	PROPN
ejpam-2759	267	19	ω	ω	PROPN
ejpam-2759	267	20	|qi,0zi,0|+	|qi,0zi,0|+	PROPN
ejpam-2759	267	21	∫	∫	PROPN
ejpam-2759	267	22	qt	qt	NOUN
ejpam-2759	267	23	|sni	|sni	PROPN
ejpam-2759	267	24	(	(	PUNCT
ejpam-2759	267	25	zn	zn	X
ejpam-2759	267	26	,	,	PUNCT
ejpam-2759	267	27	φn)|	φn)|	PROPN
ejpam-2759	267	28	]	]	PUNCT
ejpam-2759	267	29	.	.	PUNCT
ejpam-2759	268	1	(	(	PUNCT
ejpam-2759	268	2	22	22	NUM
ejpam-2759	268	3	)	)	PUNCT
ejpam-2759	268	4	where	where	SCONJ
ejpam-2759	268	5	c	c	NOUN
ejpam-2759	268	6	is	be	AUX
ejpam-2759	268	7	a	a	DET
ejpam-2759	268	8	constant	constant	ADJ
ejpam-2759	268	9	depending	depend	VERB
ejpam-2759	268	10	only	only	ADV
ejpam-2759	268	11	on	on	ADP
ejpam-2759	268	12	ε	ε	PROPN
ejpam-2759	268	13	,	,	PUNCT
ejpam-2759	268	14	|ω|	|ω|	PROPN
ejpam-2759	268	15	and	and	CCONJ
ejpam-2759	268	16	t	t	PROPN
ejpam-2759	268	17	.	.	PUNCT
ejpam-2759	269	1	proof	proof	NOUN
ejpam-2759	269	2	.	.	PUNCT
ejpam-2759	270	1	we	we	PRON
ejpam-2759	270	2	may	may	AUX
ejpam-2759	270	3	suppose	suppose	VERB
ejpam-2759	270	4	sni	sni	PROPN
ejpam-2759	270	5	is	be	AUX
ejpam-2759	270	6	a	a	DET
ejpam-2759	270	7	regular	regular	ADJ
ejpam-2759	270	8	function	function	NOUN
ejpam-2759	270	9	.	.	PUNCT
ejpam-2759	271	1	to	to	PART
ejpam-2759	271	2	show	show	VERB
ejpam-2759	271	3	how	how	SCONJ
ejpam-2759	271	4	the	the	DET
ejpam-2759	271	5	estimate	estimate	NOUN
ejpam-2759	271	6	(	(	PUNCT
ejpam-2759	271	7	22	22	NUM
ejpam-2759	271	8	)	)	PUNCT
ejpam-2759	271	9	is	be	AUX
ejpam-2759	271	10	easy	easy	ADJ
ejpam-2759	271	11	to	to	PART
ejpam-2759	271	12	obtain	obtain	VERB
ejpam-2759	271	13	,	,	PUNCT
ejpam-2759	271	14	we	we	PRON
ejpam-2759	271	15	introduce	introduce	VERB
ejpam-2759	271	16	the	the	DET
ejpam-2759	271	17	function	function	NOUN
ejpam-2759	271	18	jk(r	jk(r	PUNCT
ejpam-2759	271	19	)	)	PUNCT
ejpam-2759	272	1	=	=	SYM
ejpam-2759	272	2	∫	∫	PROPN
ejpam-2759	273	1	r	r	NOUN
ejpam-2759	273	2	0	0	NUM
ejpam-2759	273	3	tk(s)ds	tk(s)ds	NUM
ejpam-2759	273	4	where	where	SCONJ
ejpam-2759	273	5	tk(s	tk(s	NUM
ejpam-2759	273	6	)	)	PUNCT
ejpam-2759	273	7	is	be	AUX
ejpam-2759	273	8	the	the	DET
ejpam-2759	273	9	projection	projection	NOUN
ejpam-2759	273	10	of	of	ADP
ejpam-2759	273	11	s	s	PRON
ejpam-2759	273	12	onto	onto	ADP
ejpam-2759	273	13	[	[	X
ejpam-2759	273	14	−k	−k	PROPN
ejpam-2759	273	15	,	,	PUNCT
ejpam-2759	273	16	k	k	X
ejpam-2759	273	17	]	]	X
ejpam-2759	273	18	.	.	PUNCT
ejpam-2759	274	1	multiplying	multiply	VERB
ejpam-2759	274	2	the	the	DET
ejpam-2759	274	3	following	follow	VERB
ejpam-2759	274	4	equation	equation	NOUN
ejpam-2759	274	5	by	by	ADP
ejpam-2759	274	6	tk(qi	tk(qi	PROPN
ejpam-2759	274	7	,	,	PUNCT
ejpam-2759	274	8	nzi	nzi	NOUN
ejpam-2759	274	9	,	,	PUNCT
ejpam-2759	274	10	n	n	CCONJ
ejpam-2759	274	11	)	)	PUNCT
ejpam-2759	274	12	∂(qi	∂(qi	PROPN
ejpam-2759	274	13	,	,	PUNCT
ejpam-2759	274	14	nzi	nzi	PROPN
ejpam-2759	274	15	,	,	PUNCT
ejpam-2759	274	16	n	n	CCONJ
ejpam-2759	274	17	)	)	PUNCT
ejpam-2759	274	18	∂t	∂t	PROPN
ejpam-2759	274	19	−	−	PROPN
ejpam-2759	274	20	didiv(qi	didiv(qi	PROPN
ejpam-2759	274	21	,	,	PUNCT
ejpam-2759	274	22	n∇zi	n∇zi	NUM
ejpam-2759	274	23	,	,	PUNCT
ejpam-2759	274	24	n	n	CCONJ
ejpam-2759	274	25	)	)	PUNCT
ejpam-2759	275	1	=	=	SYM
ejpam-2759	275	2	sni	sni	PROPN
ejpam-2759	275	3	(	(	PUNCT
ejpam-2759	275	4	zn	zn	PROPN
ejpam-2759	275	5	,	,	PUNCT
ejpam-2759	275	6	φn	φn	NOUN
ejpam-2759	275	7	)	)	PUNCT
ejpam-2759	275	8	and	and	CCONJ
ejpam-2759	275	9	integrating	integrate	VERB
ejpam-2759	275	10	by	by	ADP
ejpam-2759	275	11	parts	part	NOUN
ejpam-2759	275	12	on	on	ADP
ejpam-2759	275	13	qt	qt	NOUN
ejpam-2759	275	14	,	,	PUNCT
ejpam-2759	275	15	we	we	PRON
ejpam-2759	275	16	get∫	get∫	VERB
ejpam-2759	275	17	qt	qt	NOUN
ejpam-2759	275	18	∂t(jk(qi	∂t(jk(qi	PROPN
ejpam-2759	275	19	,	,	PUNCT
ejpam-2759	275	20	nzi	nzi	PROPN
ejpam-2759	275	21	,	,	PUNCT
ejpam-2759	275	22	n))−	n))−	VERB
ejpam-2759	275	23	di	di	NOUN
ejpam-2759	275	24	∫	∫	PROPN
ejpam-2759	275	25	qt	qt	PROPN
ejpam-2759	275	26	tk(qi	tk(qi	PROPN
ejpam-2759	275	27	,	,	PUNCT
ejpam-2759	275	28	nzi	nzi	PROPN
ejpam-2759	275	29	,	,	PUNCT
ejpam-2759	275	30	n)div(qi	n)div(qi	PROPN
ejpam-2759	275	31	,	,	PUNCT
ejpam-2759	275	32	n∇zi	n∇zi	NUM
ejpam-2759	275	33	,	,	PUNCT
ejpam-2759	275	34	n	n	CCONJ
ejpam-2759	275	35	)	)	PUNCT
ejpam-2759	275	36	=	=	SYM
ejpam-2759	275	37	∫	∫	PROPN
ejpam-2759	275	38	qt	qt	PROPN
ejpam-2759	275	39	tk(qi	tk(qi	PROPN
ejpam-2759	275	40	,	,	PUNCT
ejpam-2759	275	41	nzi	nzi	NOUN
ejpam-2759	275	42	,	,	PUNCT
ejpam-2759	275	43	n)sni	n)sni	PROPN
ejpam-2759	275	44	(	(	PUNCT
ejpam-2759	275	45	zn	zn	PROPN
ejpam-2759	275	46	,	,	PUNCT
ejpam-2759	275	47	φn	φn	NOUN
ejpam-2759	275	48	)	)	PUNCT
ejpam-2759	275	49	using	use	VERB
ejpam-2759	275	50	now	now	ADV
ejpam-2759	275	51	the	the	DET
ejpam-2759	275	52	boundary	boundary	ADJ
ejpam-2759	275	53	conditions	condition	NOUN
ejpam-2759	275	54	to	to	PART
ejpam-2759	275	55	obtain∫	obtain∫	VERB
ejpam-2759	275	56	qt	qt	PROPN
ejpam-2759	275	57	∂t(jk(qi	∂t(jk(qi	PROPN
ejpam-2759	275	58	,	,	PUNCT
ejpam-2759	275	59	nzi	nzi	PROPN
ejpam-2759	275	60	,	,	PUNCT
ejpam-2759	275	61	n	n	CCONJ
ejpam-2759	275	62	)	)	PUNCT
ejpam-2759	275	63	)	)	PUNCT
ejpam-2759	276	1	+	+	CCONJ
ejpam-2759	276	2	di	di	X
ejpam-2759	276	3	∫	∫	PROPN
ejpam-2759	276	4	qt	qt	PROPN
ejpam-2759	276	5	∇tk(qi	∇tk(qi	PROPN
ejpam-2759	276	6	,	,	PUNCT
ejpam-2759	276	7	nzi	nzi	PROPN
ejpam-2759	276	8	,	,	PUNCT
ejpam-2759	276	9	n)(qi	n)(qi	NUM
ejpam-2759	276	10	,	,	PUNCT
ejpam-2759	276	11	n∇zi	n∇zi	NUM
ejpam-2759	276	12	,	,	PUNCT
ejpam-2759	276	13	n	n	CCONJ
ejpam-2759	276	14	)	)	PUNCT
ejpam-2759	276	15	=	=	SYM
ejpam-2759	276	16	∫	∫	PROPN
ejpam-2759	276	17	qt	qt	PROPN
ejpam-2759	276	18	tk(qi	tk(qi	PROPN
ejpam-2759	276	19	,	,	PUNCT
ejpam-2759	276	20	nzi	nzi	NOUN
ejpam-2759	276	21	,	,	PUNCT
ejpam-2759	276	22	n)sni	n)sni	PROPN
ejpam-2759	276	23	(	(	PUNCT
ejpam-2759	276	24	zn	zn	PROPN
ejpam-2759	276	25	,	,	PUNCT
ejpam-2759	276	26	φn	φn	NOUN
ejpam-2759	276	27	)	)	PUNCT
ejpam-2759	276	28	which	which	PRON
ejpam-2759	276	29	implies	imply	VERB
ejpam-2759	276	30	that∫	that∫	PROPN
ejpam-2759	276	31	qt	qt	PROPN
ejpam-2759	276	32	∂t(jk(qi	∂t(jk(qi	PROPN
ejpam-2759	276	33	,	,	PUNCT
ejpam-2759	276	34	nzi	nzi	PROPN
ejpam-2759	276	35	,	,	PUNCT
ejpam-2759	276	36	n	n	CCONJ
ejpam-2759	276	37	)	)	PUNCT
ejpam-2759	276	38	)	)	PUNCT
ejpam-2759	277	1	+	+	CCONJ
ejpam-2759	277	2	di	di	X
ejpam-2759	277	3	∫	∫	PROPN
ejpam-2759	277	4	qt	qt	PROPN
ejpam-2759	277	5	t	t	PROPN
ejpam-2759	277	6	′	′	NUM
ejpam-2759	277	7	k(qi	k(qi	PROPN
ejpam-2759	277	8	,	,	PUNCT
ejpam-2759	277	9	nzi	nzi	PROPN
ejpam-2759	277	10	,	,	PUNCT
ejpam-2759	277	11	n)|qi	n)|qi	PROPN
ejpam-2759	277	12	,	,	PUNCT
ejpam-2759	277	13	n∇zi	n∇zi	NUM
ejpam-2759	277	14	,	,	PUNCT
ejpam-2759	277	15	n|2	n|2	PROPN
ejpam-2759	277	16	=	=	SYM
ejpam-2759	277	17	∫	∫	PROPN
ejpam-2759	277	18	qt	qt	PROPN
ejpam-2759	277	19	tk(qi	tk(qi	PROPN
ejpam-2759	277	20	,	,	PUNCT
ejpam-2759	277	21	nzi	nzi	NOUN
ejpam-2759	277	22	,	,	PUNCT
ejpam-2759	277	23	n)sni	n)sni	PROPN
ejpam-2759	277	24	(	(	PUNCT
ejpam-2759	277	25	zn	zn	PROPN
ejpam-2759	277	26	,	,	PUNCT
ejpam-2759	277	27	φn	φn	PROPN
ejpam-2759	277	28	)	)	PUNCT
ejpam-2759	278	1	+	+	NOUN
ejpam-2759	278	2	mi	mi	NOUN
ejpam-2759	278	3	∫	∫	PROPN
ejpam-2759	278	4	qt	qt	PROPN
ejpam-2759	278	5	t	t	PROPN
ejpam-2759	278	6	′	′	NUM
ejpam-2759	278	7	k(qi	k(qi	PROPN
ejpam-2759	278	8	,	,	PUNCT
ejpam-2759	278	9	nzi	nzi	PROPN
ejpam-2759	278	10	,	,	PUNCT
ejpam-2759	278	11	n)(qi	n)(qi	NUM
ejpam-2759	278	12	,	,	PUNCT
ejpam-2759	278	13	n∇zi	n∇zi	NUM
ejpam-2759	278	14	,	,	PUNCT
ejpam-2759	278	15	n)(qi	n)(qi	NUM
ejpam-2759	278	16	,	,	PUNCT
ejpam-2759	278	17	nzi	nzi	PROPN
ejpam-2759	278	18	,	,	PUNCT
ejpam-2759	278	19	n)∇φn	n)∇φn	VERB
ejpam-2759	278	20	the	the	DET
ejpam-2759	278	21	integration	integration	NOUN
ejpam-2759	278	22	over	over	ADP
ejpam-2759	278	23	(	(	PUNCT
ejpam-2759	278	24	0	0	NUM
ejpam-2759	278	25	,	,	PUNCT
ejpam-2759	278	26	t	t	NOUN
ejpam-2759	278	27	)	)	PUNCT
ejpam-2759	278	28	yields	yield	NOUN
ejpam-2759	278	29	to	to	ADP
ejpam-2759	278	30	the	the	DET
ejpam-2759	278	31	equality	equality	NOUN
ejpam-2759	278	32	above∫	above∫	NOUN
ejpam-2759	278	33	ω	ω	PROPN
ejpam-2759	278	34	jk(qi	jk(qi	PROPN
ejpam-2759	278	35	,	,	PUNCT
ejpam-2759	278	36	nzi	nzi	PROPN
ejpam-2759	278	37	,	,	PUNCT
ejpam-2759	278	38	n)(t	n)(t	NUM
ejpam-2759	278	39	)	)	PUNCT
ejpam-2759	278	40	+	+	CCONJ
ejpam-2759	278	41	di	di	PROPN
ejpam-2759	278	42	∫	∫	PROPN
ejpam-2759	278	43	qt	qt	PROPN
ejpam-2759	278	44	t	t	PROPN
ejpam-2759	278	45	′	′	NUM
ejpam-2759	278	46	k(qi	k(qi	PROPN
ejpam-2759	278	47	,	,	PUNCT
ejpam-2759	278	48	nzi	nzi	PROPN
ejpam-2759	278	49	,	,	PUNCT
ejpam-2759	278	50	n)|qi	n)|qi	PROPN
ejpam-2759	278	51	,	,	PUNCT
ejpam-2759	278	52	n∇zi	n∇zi	NUM
ejpam-2759	278	53	,	,	PUNCT
ejpam-2759	278	54	n|2	n|2	PROPN
ejpam-2759	278	55	=	=	SYM
ejpam-2759	278	56	∫	∫	PROPN
ejpam-2759	278	57	ω	ω	PROPN
ejpam-2759	278	58	jk(q	jk(q	PUNCT
ejpam-2759	278	59	n	n	CCONJ
ejpam-2759	278	60	i,0z	i,0z	NOUN
ejpam-2759	278	61	n	n	PRON
ejpam-2759	278	62	i,0	i,0	NUM
ejpam-2759	278	63	)	)	PUNCT
ejpam-2759	279	1	+	+	CCONJ
ejpam-2759	279	2	∫	∫	PROPN
ejpam-2759	279	3	qt	qt	PROPN
ejpam-2759	279	4	tk(qi	tk(qi	PROPN
ejpam-2759	279	5	,	,	PUNCT
ejpam-2759	279	6	nzi	nzi	NOUN
ejpam-2759	279	7	,	,	PUNCT
ejpam-2759	279	8	n)sni	n)sni	PROPN
ejpam-2759	279	9	(	(	PUNCT
ejpam-2759	279	10	zn	zn	PROPN
ejpam-2759	279	11	,	,	PUNCT
ejpam-2759	279	12	φn	φn	PROPN
ejpam-2759	279	13	)	)	PUNCT
ejpam-2759	279	14	+	+	CCONJ
ejpam-2759	279	15	mi	mi	PROPN
ejpam-2759	279	16	∫	∫	PROPN
ejpam-2759	279	17	qt	qt	PROPN
ejpam-2759	279	18	t	t	PROPN
ejpam-2759	279	19	′	′	NUM
ejpam-2759	279	20	k(qi	k(qi	PROPN
ejpam-2759	279	21	,	,	PUNCT
ejpam-2759	279	22	nzi	nzi	PROPN
ejpam-2759	279	23	,	,	PUNCT
ejpam-2759	279	24	n)(qi	n)(qi	NUM
ejpam-2759	279	25	,	,	PUNCT
ejpam-2759	279	26	n∇zi	n∇zi	NUM
ejpam-2759	279	27	,	,	PUNCT
ejpam-2759	279	28	n)(qi	n)(qi	NUM
ejpam-2759	279	29	,	,	PUNCT
ejpam-2759	279	30	nzi	nzi	PROPN
ejpam-2759	279	31	,	,	PUNCT
ejpam-2759	279	32	n)∇φn	n)∇φn	PROPN
ejpam-2759	279	33	.	.	PROPN
ejpam-2759	279	34	n.	n.	PROPN
ejpam-2759	279	35	alaa	alaa	PROPN
ejpam-2759	279	36	,	,	PUNCT
ejpam-2759	279	37	f.	f.	PROPN
ejpam-2759	279	38	aqel	aqel	PROPN
ejpam-2759	279	39	/	/	SYM
ejpam-2759	279	40	eur	eur	PROPN
ejpam-2759	279	41	.	.	PUNCT
ejpam-2759	280	1	j.	j.	PROPN
ejpam-2759	280	2	pure	pure	PROPN
ejpam-2759	280	3	appl	appl	PROPN
ejpam-2759	280	4	.	.	PROPN
ejpam-2759	280	5	math	math	PROPN
ejpam-2759	280	6	,	,	PUNCT
ejpam-2759	280	7	10	10	NUM
ejpam-2759	280	8	(	(	PUNCT
ejpam-2759	280	9	2	2	NUM
ejpam-2759	280	10	)	)	PUNCT
ejpam-2759	280	11	(	(	PUNCT
ejpam-2759	280	12	2017	2017	NUM
ejpam-2759	280	13	)	)	PUNCT
ejpam-2759	280	14	,	,	PUNCT
ejpam-2759	280	15	272	272	NUM
ejpam-2759	280	16	-	-	SYM
ejpam-2759	280	17	294	294	NUM
ejpam-2759	280	18	285	285	NUM
ejpam-2759	280	19	since	since	SCONJ
ejpam-2759	280	20	t	t	PROPN
ejpam-2759	280	21	′	′	NUM
ejpam-2759	280	22	k(qi	k(qi	PROPN
ejpam-2759	280	23	,	,	PUNCT
ejpam-2759	280	24	nzi	nzi	NOUN
ejpam-2759	280	25	,	,	PUNCT
ejpam-2759	280	26	n	n	CCONJ
ejpam-2759	280	27	)	)	PUNCT
ejpam-2759	280	28	=	=	SYM
ejpam-2759	280	29	1	1	NUM
ejpam-2759	280	30	for	for	ADP
ejpam-2759	280	31	all	all	PRON
ejpam-2759	280	32	|qi	|qi	PROPN
ejpam-2759	280	33	,	,	PUNCT
ejpam-2759	280	34	nzi	nzi	PROPN
ejpam-2759	280	35	,	,	PUNCT
ejpam-2759	280	36	n|	n|	NOUN
ejpam-2759	280	37	≤	≤	NOUN
ejpam-2759	280	38	k	k	PROPN
ejpam-2759	280	39	and	and	CCONJ
ejpam-2759	280	40	by	by	ADP
ejpam-2759	280	41	using	use	VERB
ejpam-2759	280	42	the	the	DET
ejpam-2759	280	43	following	follow	VERB
ejpam-2759	280	44	estimates	estimate	NOUN
ejpam-2759	280	45	jk(qi	jk(qi	PROPN
ejpam-2759	280	46	,	,	PUNCT
ejpam-2759	280	47	nzi	nzi	PROPN
ejpam-2759	280	48	,	,	PUNCT
ejpam-2759	280	49	n)(t	n)(t	PROPN
ejpam-2759	280	50	)	)	PUNCT
ejpam-2759	280	51	>	>	X
ejpam-2759	280	52	0	0	NUM
ejpam-2759	280	53	,	,	PUNCT
ejpam-2759	280	54	tk(qi	tk(qi	PROPN
ejpam-2759	280	55	,	,	PUNCT
ejpam-2759	280	56	nzi	nzi	NOUN
ejpam-2759	280	57	,	,	PUNCT
ejpam-2759	280	58	n	n	CCONJ
ejpam-2759	280	59	)	)	PUNCT
ejpam-2759	280	60	≤	≤	PUNCT
ejpam-2759	281	1	k	k	PROPN
ejpam-2759	281	2	and	and	CCONJ
ejpam-2759	281	3	jk(q	jk(q	NOUN
ejpam-2759	281	4	n	n	CCONJ
ejpam-2759	281	5	i,0z	i,0z	NOUN
ejpam-2759	281	6	n	n	PRON
ejpam-2759	281	7	i,0	i,0	NUM
ejpam-2759	281	8	)	)	PUNCT
ejpam-2759	281	9	≤	≤	PUNCT
ejpam-2759	282	1	k|qni,0zni,0|	k|qni,0zni,0|	PROPN
ejpam-2759	282	2	,	,	PUNCT
ejpam-2759	282	3	we	we	PRON
ejpam-2759	282	4	obtain	obtain	VERB
ejpam-2759	282	5	di	di	X
ejpam-2759	282	6	∫	∫	PROPN
ejpam-2759	283	1	[	[	X
ejpam-2759	283	2	|qi	|qi	X
ejpam-2759	283	3	,	,	PUNCT
ejpam-2759	283	4	nzi	nzi	PROPN
ejpam-2759	283	5	,	,	PUNCT
ejpam-2759	283	6	n|≤k	n|≤k	PROPN
ejpam-2759	283	7	]	]	PUNCT
ejpam-2759	283	8	|qi	|qi	X
ejpam-2759	283	9	,	,	PUNCT
ejpam-2759	283	10	n∇zi	n∇zi	NUM
ejpam-2759	283	11	,	,	PUNCT
ejpam-2759	283	12	n|2	n|2	PROPN
ejpam-2759	283	13	≤	≤	ADJ
ejpam-2759	283	14	k	k	NOUN
ejpam-2759	283	15	[	[	PUNCT
ejpam-2759	283	16	∫	∫	X
ejpam-2759	283	17	qt	qt	PROPN
ejpam-2759	283	18	|sni	|sni	PROPN
ejpam-2759	283	19	(	(	PUNCT
ejpam-2759	283	20	zn	zn	PROPN
ejpam-2759	283	21	,	,	PUNCT
ejpam-2759	283	22	φn)|+	φn)|+	PROPN
ejpam-2759	283	23	∫	∫	PROPN
ejpam-2759	284	1	ω	ω	X
ejpam-2759	284	2	|qni,0zni,0|	|qni,0zni,0|	X
ejpam-2759	284	3	]	]	PUNCT
ejpam-2759	285	1	+	+	CCONJ
ejpam-2759	285	2	mi	mi	PROPN
ejpam-2759	285	3	∫	∫	PROPN
ejpam-2759	285	4	qt	qt	PROPN
ejpam-2759	285	5	t	t	PROPN
ejpam-2759	285	6	′	′	NUM
ejpam-2759	285	7	k(qi	k(qi	PROPN
ejpam-2759	285	8	,	,	PUNCT
ejpam-2759	285	9	nzi	nzi	PROPN
ejpam-2759	285	10	,	,	PUNCT
ejpam-2759	285	11	n)(qi	n)(qi	NUM
ejpam-2759	285	12	,	,	PUNCT
ejpam-2759	285	13	n∇zi	n∇zi	NUM
ejpam-2759	285	14	,	,	PUNCT
ejpam-2759	285	15	n)(qi	n)(qi	NUM
ejpam-2759	285	16	,	,	PUNCT
ejpam-2759	285	17	nzi	nzi	PROPN
ejpam-2759	285	18	,	,	PUNCT
ejpam-2759	285	19	n)∇φn	n)∇φn	PROPN
ejpam-2759	285	20	.	.	PROPN
ejpam-2759	285	21	as	as	ADP
ejpam-2759	285	22	||∇φn||l∞(qt	||∇φn||l∞(qt	NOUN
ejpam-2759	285	23	)	)	PUNCT
ejpam-2759	285	24	≤	≤	NOUN
ejpam-2759	285	25	c	c	NOUN
ejpam-2759	285	26	,	,	PUNCT
ejpam-2759	285	27	and	and	CCONJ
ejpam-2759	285	28	by	by	ADP
ejpam-2759	285	29	using	use	VERB
ejpam-2759	285	30	young	young	PROPN
ejpam-2759	285	31	’s	’s	PART
ejpam-2759	285	32	inequality	inequality	PROPN
ejpam-2759	285	33	di	di	PROPN
ejpam-2759	285	34	∫	∫	PROPN
ejpam-2759	286	1	[	[	X
ejpam-2759	286	2	|qi	|qi	X
ejpam-2759	286	3	,	,	PUNCT
ejpam-2759	286	4	nzi	nzi	PROPN
ejpam-2759	286	5	,	,	PUNCT
ejpam-2759	286	6	n|≤k	n|≤k	PROPN
ejpam-2759	286	7	]	]	PUNCT
ejpam-2759	286	8	|qi	|qi	X
ejpam-2759	286	9	,	,	PUNCT
ejpam-2759	286	10	n∇zi	n∇zi	NUM
ejpam-2759	286	11	,	,	PUNCT
ejpam-2759	287	1	n|2	n|2	PROPN
ejpam-2759	287	2	≤	≤	ADJ
ejpam-2759	287	3	k	k	NOUN
ejpam-2759	287	4	[	[	PUNCT
ejpam-2759	287	5	∫	∫	X
ejpam-2759	287	6	qt	qt	PROPN
ejpam-2759	287	7	|sni	|sni	PROPN
ejpam-2759	287	8	(	(	PUNCT
ejpam-2759	287	9	zn	zn	PROPN
ejpam-2759	287	10	,	,	PUNCT
ejpam-2759	287	11	φn)|+	φn)|+	PROPN
ejpam-2759	287	12	∫	∫	PROPN
ejpam-2759	287	13	ω	ω	X
ejpam-2759	287	14	|qni,0zni,0|	|qni,0zni,0|	X
ejpam-2759	287	15	]	]	PUNCT
ejpam-2759	287	16	+	+	CCONJ
ejpam-2759	287	17	cε	cε	VERB
ejpam-2759	287	18	∫	∫	PROPN
ejpam-2759	288	1	[	[	X
ejpam-2759	288	2	|qi	|qi	X
ejpam-2759	288	3	,	,	PUNCT
ejpam-2759	288	4	nzi	nzi	PROPN
ejpam-2759	288	5	,	,	PUNCT
ejpam-2759	288	6	n|≤k	n|≤k	PROPN
ejpam-2759	288	7	]	]	PUNCT
ejpam-2759	288	8	|qi	|qi	NUM
ejpam-2759	288	9	,	,	PUNCT
ejpam-2759	288	10	nzi	nzi	PROPN
ejpam-2759	288	11	,	,	PUNCT
ejpam-2759	288	12	n|2	n|2	PROPN
ejpam-2759	288	13	+	+	CCONJ
ejpam-2759	288	14	ε	ε	PROPN
ejpam-2759	288	15	∫	∫	PROPN
ejpam-2759	289	1	[	[	X
ejpam-2759	289	2	|qi	|qi	X
ejpam-2759	289	3	,	,	PUNCT
ejpam-2759	289	4	nzi	nzi	PROPN
ejpam-2759	289	5	,	,	PUNCT
ejpam-2759	289	6	n|≤k	n|≤k	PROPN
ejpam-2759	289	7	]	]	PUNCT
ejpam-2759	289	8	|qi	|qi	X
ejpam-2759	289	9	,	,	PUNCT
ejpam-2759	289	10	n∇zi	n∇zi	NUM
ejpam-2759	289	11	,	,	PUNCT
ejpam-2759	289	12	n|2	n|2	NOUN
ejpam-2759	289	13	consequently	consequently	ADV
ejpam-2759	289	14	(	(	PUNCT
ejpam-2759	289	15	di	di	NOUN
ejpam-2759	289	16	−	−	PROPN
ejpam-2759	289	17	ε	ε	PROPN
ejpam-2759	289	18	)	)	PUNCT
ejpam-2759	289	19	∫	∫	PROPN
ejpam-2759	290	1	[	[	X
ejpam-2759	290	2	|qi	|qi	X
ejpam-2759	290	3	,	,	PUNCT
ejpam-2759	290	4	nzi	nzi	PROPN
ejpam-2759	290	5	,	,	PUNCT
ejpam-2759	290	6	n|≤k	n|≤k	PROPN
ejpam-2759	290	7	]	]	PUNCT
ejpam-2759	290	8	|qi	|qi	X
ejpam-2759	290	9	,	,	PUNCT
ejpam-2759	290	10	n∇zi	n∇zi	NUM
ejpam-2759	290	11	,	,	PUNCT
ejpam-2759	290	12	n|2	n|2	PROPN
ejpam-2759	290	13	≤	≤	ADJ
ejpam-2759	290	14	k	k	NOUN
ejpam-2759	290	15	[	[	PUNCT
ejpam-2759	290	16	∫	∫	X
ejpam-2759	290	17	qt	qt	PROPN
ejpam-2759	290	18	|sni	|sni	PROPN
ejpam-2759	290	19	(	(	PUNCT
ejpam-2759	290	20	zn	zn	PROPN
ejpam-2759	290	21	,	,	PUNCT
ejpam-2759	290	22	φn)|+	φn)|+	PROPN
ejpam-2759	290	23	∫	∫	PROPN
ejpam-2759	290	24	ω	ω	PROPN
ejpam-2759	290	25	|qi,0zi,0|	|qi,0zi,0|	NOUN
ejpam-2759	290	26	]	]	PUNCT
ejpam-2759	291	1	+	+	CCONJ
ejpam-2759	291	2	cεk	cεk	NOUN
ejpam-2759	291	3	2	2	NUM
ejpam-2759	291	4	.	.	PUNCT
ejpam-2759	291	5	continuing	continue	VERB
ejpam-2759	291	6	the	the	DET
ejpam-2759	291	7	proof	proof	NOUN
ejpam-2759	291	8	of	of	ADP
ejpam-2759	291	9	theorem	theorem	NOUN
ejpam-2759	291	10	2	2	NUM
ejpam-2759	291	11	now	now	ADV
ejpam-2759	291	12	,	,	PUNCT
ejpam-2759	291	13	we	we	PRON
ejpam-2759	291	14	fix	fix	VERB
ejpam-2759	291	15	η	η	PROPN
ejpam-2759	291	16	∈	∈	PROPN
ejpam-2759	291	17	(	(	PUNCT
ejpam-2759	291	18	0	0	NUM
ejpam-2759	291	19	,	,	PUNCT
ejpam-2759	291	20	1	1	NUM
ejpam-2759	291	21	)	)	PUNCT
ejpam-2759	291	22	and	and	CCONJ
ejpam-2759	291	23	we	we	PRON
ejpam-2759	291	24	introduce	introduce	VERB
ejpam-2759	291	25	vi	vi	PROPN
ejpam-2759	291	26	,	,	PUNCT
ejpam-2759	291	27	n	n	NOUN
ejpam-2759	291	28	=	=	SYM
ejpam-2759	291	29	qi	qi	PROPN
ejpam-2759	291	30	,	,	PUNCT
ejpam-2759	291	31	nzi	nzi	PROPN
ejpam-2759	291	32	,	,	PUNCT
ejpam-2759	291	33	n	n	PROPN
ejpam-2759	292	1	+	+	CCONJ
ejpam-2759	292	2	∑	∑	PROPN
ejpam-2759	292	3	1≤j≤ns	1≤j≤ns	NUM
ejpam-2759	292	4	j	j	NOUN
ejpam-2759	292	5	6	6	NUM
ejpam-2759	292	6	=	=	PROPN
ejpam-2759	292	7	i	i	PROPN
ejpam-2759	292	8	η(qj	η(qj	PROPN
ejpam-2759	292	9	,	,	PUNCT
ejpam-2759	292	10	nzj	nzj	PROPN
ejpam-2759	292	11	,	,	PUNCT
ejpam-2759	292	12	n	n	CCONJ
ejpam-2759	292	13	)	)	PUNCT
ejpam-2759	292	14	,	,	PUNCT
ejpam-2759	292	15	also	also	ADV
ejpam-2759	292	16	we	we	PRON
ejpam-2759	292	17	denote	denote	VERB
ejpam-2759	292	18	ui	ui	PROPN
ejpam-2759	292	19	,	,	PUNCT
ejpam-2759	292	20	n	n	PROPN
ejpam-2759	292	21	=	=	SYM
ejpam-2759	292	22	tk(vi	tk(vi	PROPN
ejpam-2759	292	23	,	,	PUNCT
ejpam-2759	292	24	n	n	CCONJ
ejpam-2759	292	25	)	)	PUNCT
ejpam-2759	292	26	.	.	PUNCT
ejpam-2759	293	1	since	since	SCONJ
ejpam-2759	293	2	we	we	PRON
ejpam-2759	293	3	need	need	VERB
ejpam-2759	293	4	to	to	PART
ejpam-2759	293	5	differentiate	differentiate	VERB
ejpam-2759	293	6	twice	twice	ADJ
ejpam-2759	293	7	tk	tk	PROPN
ejpam-2759	293	8	,	,	PUNCT
ejpam-2759	293	9	we	we	PRON
ejpam-2759	293	10	replace	replace	VERB
ejpam-2759	293	11	tk	tk	PROPN
ejpam-2759	293	12	by	by	ADP
ejpam-2759	293	13	a	a	DET
ejpam-2759	293	14	c2−	c2−	ADJ
ejpam-2759	293	15	regularized	regularize	VERB
ejpam-2759	293	16	function	function	NOUN
ejpam-2759	293	17	,	,	PUNCT
ejpam-2759	293	18	such	such	ADJ
ejpam-2759	293	19	that	that	DET
ejpam-2759	293	20	tk(r	tk(r	NOUN
ejpam-2759	293	21	)	)	PUNCT
ejpam-2759	294	1	=	=	SYM
ejpam-2759	294	2	r	r	NOUN
ejpam-2759	294	3	if	if	SCONJ
ejpam-2759	294	4	0	0	NUM
ejpam-2759	294	5	≤	≤	NUM
ejpam-2759	294	6	r	r	NOUN
ejpam-2759	294	7	≤	≤	NUM
ejpam-2759	294	8	k	k	NOUN
ejpam-2759	294	9	−	−	PROPN
ejpam-2759	294	10	1	1	NUM
ejpam-2759	294	11	t	t	NOUN
ejpam-2759	294	12	′	′	NUM
ejpam-2759	294	13	k(r	k(r	VERB
ejpam-2759	294	14	)	)	PUNCT
ejpam-2759	295	1	=	=	SYM
ejpam-2759	295	2	0	0	PUNCT
ejpam-2759	296	1	if	if	SCONJ
ejpam-2759	296	2	r	r	NOUN
ejpam-2759	296	3	≥	≥	NOUN
ejpam-2759	296	4	k	k	NOUN
ejpam-2759	296	5	0	0	PUNCT
ejpam-2759	296	6	≤	≤	PROPN
ejpam-2759	296	7	t	t	NOUN
ejpam-2759	296	8	′	′	NUM
ejpam-2759	296	9	k(r	k(r	PROPN
ejpam-2759	296	10	)	)	PUNCT
ejpam-2759	296	11	≤	≤	NOUN
ejpam-2759	296	12	1	1	NUM
ejpam-2759	296	13	if	if	SCONJ
ejpam-2759	296	14	r	r	NOUN
ejpam-2759	296	15	≥	≥	NOUN
ejpam-2759	296	16	0	0	NUM
ejpam-2759	296	17	−1	−1	NOUN
ejpam-2759	296	18	≤	≤	PROPN
ejpam-2759	296	19	t	t	PROPN
ejpam-2759	296	20	”	"	PUNCT
ejpam-2759	296	21	k	k	PROPN
ejpam-2759	296	22	(	(	PUNCT
ejpam-2759	296	23	r	r	NOUN
ejpam-2759	296	24	)	)	PUNCT
ejpam-2759	296	25	≤	≤	NOUN
ejpam-2759	296	26	0	0	PUNCT
ejpam-2759	297	1	if	if	SCONJ
ejpam-2759	297	2	r	r	NOUN
ejpam-2759	297	3	≥	≥	NOUN
ejpam-2759	297	4	0	0	NUM
ejpam-2759	297	5	when	when	SCONJ
ejpam-2759	297	6	k	k	PROPN
ejpam-2759	297	7	→	→	SYM
ejpam-2759	297	8	+	+	PROPN
ejpam-2759	297	9	∞	∞	PROPN
ejpam-2759	297	10	,	,	PUNCT
ejpam-2759	297	11	we	we	PRON
ejpam-2759	297	12	have	have	VERB
ejpam-2759	297	13	tk(r	tk(r	NUM
ejpam-2759	297	14	)	)	PUNCT
ejpam-2759	298	1	→	→	PUNCT
ejpam-2759	298	2	r	r	NOUN
ejpam-2759	298	3	a.e	a.e	PROPN
ejpam-2759	298	4	t	t	NOUN
ejpam-2759	298	5	′	′	NUM
ejpam-2759	298	6	k(r	k(r	NOUN
ejpam-2759	298	7	)	)	PUNCT
ejpam-2759	298	8	→	→	SYM
ejpam-2759	298	9	1	1	NUM
ejpam-2759	298	10	a.e	a.e	PROPN
ejpam-2759	298	11	t	t	NOUN
ejpam-2759	298	12	”	"	PUNCT
ejpam-2759	298	13	k	k	PROPN
ejpam-2759	298	14	(	(	PUNCT
ejpam-2759	298	15	r	r	NOUN
ejpam-2759	298	16	)	)	PUNCT
ejpam-2759	298	17	→	→	SYM
ejpam-2759	298	18	0	0	NUM
ejpam-2759	299	1	a.e	a.e	NOUN
ejpam-2759	299	2	this	this	PRON
ejpam-2759	299	3	enables	enable	VERB
ejpam-2759	299	4	us	we	PRON
ejpam-2759	299	5	to	to	PART
ejpam-2759	299	6	state	state	VERB
ejpam-2759	299	7	the	the	DET
ejpam-2759	299	8	main	main	ADJ
ejpam-2759	299	9	result	result	NOUN
ejpam-2759	299	10	of	of	ADP
ejpam-2759	299	11	this	this	DET
ejpam-2759	299	12	section	section	NOUN
ejpam-2759	299	13	which	which	PRON
ejpam-2759	299	14	means	mean	VERB
ejpam-2759	299	15	that	that	SCONJ
ejpam-2759	299	16	in	in	ADP
ejpam-2759	299	17	order	order	NOUN
ejpam-2759	299	18	to	to	PART
ejpam-2759	299	19	finish	finish	VERB
ejpam-2759	299	20	the	the	DET
ejpam-2759	299	21	proof	proof	NOUN
ejpam-2759	299	22	of	of	ADP
ejpam-2759	299	23	theorem	theorem	NOUN
ejpam-2759	299	24	2	2	NUM
ejpam-2759	299	25	,	,	PUNCT
ejpam-2759	299	26	we	we	PRON
ejpam-2759	299	27	propose	propose	VERB
ejpam-2759	299	28	to	to	PART
ejpam-2759	299	29	pass	pass	VERB
ejpam-2759	299	30	to	to	ADP
ejpam-2759	299	31	the	the	DET
ejpam-2759	299	32	limit	limit	NOUN
ejpam-2759	299	33	when	when	SCONJ
ejpam-2759	299	34	n	n	PRON
ejpam-2759	299	35	tends	tend	VERB
ejpam-2759	299	36	to	to	PART
ejpam-2759	299	37	infinity	infinity	VERB
ejpam-2759	299	38	,	,	PUNCT
ejpam-2759	299	39	then	then	ADV
ejpam-2759	299	40	n.	n.	PROPN
ejpam-2759	299	41	alaa	alaa	PROPN
ejpam-2759	299	42	,	,	PUNCT
ejpam-2759	299	43	f.	f.	PROPN
ejpam-2759	299	44	aqel	aqel	PROPN
ejpam-2759	299	45	/	/	SYM
ejpam-2759	299	46	eur	eur	PROPN
ejpam-2759	299	47	.	.	PUNCT
ejpam-2759	300	1	j.	j.	PROPN
ejpam-2759	300	2	pure	pure	PROPN
ejpam-2759	300	3	appl	appl	PROPN
ejpam-2759	300	4	.	.	PROPN
ejpam-2759	300	5	math	math	PROPN
ejpam-2759	300	6	,	,	PUNCT
ejpam-2759	300	7	10	10	NUM
ejpam-2759	300	8	(	(	PUNCT
ejpam-2759	300	9	2	2	NUM
ejpam-2759	300	10	)	)	PUNCT
ejpam-2759	300	11	(	(	PUNCT
ejpam-2759	300	12	2017	2017	NUM
ejpam-2759	300	13	)	)	PUNCT
ejpam-2759	300	14	,	,	PUNCT
ejpam-2759	300	15	272	272	NUM
ejpam-2759	300	16	-	-	SYM
ejpam-2759	300	17	294	294	NUM
ejpam-2759	300	18	286	286	NUM
ejpam-2759	300	19	η	η	NOUN
ejpam-2759	300	20	→	→	SYM
ejpam-2759	300	21	0	0	NUM
ejpam-2759	300	22	and	and	CCONJ
ejpam-2759	300	23	after	after	ADP
ejpam-2759	300	24	that	that	PRON
ejpam-2759	300	25	k	k	PROPN
ejpam-2759	300	26	→	→	X
ejpam-2759	300	27	+	+	PROPN
ejpam-2759	300	28	∞	∞	PROPN
ejpam-2759	300	29	,	,	PUNCT
ejpam-2759	300	30	for	for	ADP
ejpam-2759	300	31	this	this	PRON
ejpam-2759	300	32	we	we	PRON
ejpam-2759	300	33	need	need	VERB
ejpam-2759	300	34	to	to	PART
ejpam-2759	300	35	use	use	VERB
ejpam-2759	300	36	the	the	DET
ejpam-2759	300	37	hypothesis	hypothesis	NOUN
ejpam-2759	300	38	on	on	ADP
ejpam-2759	300	39	the	the	DET
ejpam-2759	300	40	truncated	truncated	ADJ
ejpam-2759	300	41	function	function	NOUN
ejpam-2759	300	42	.	.	PUNCT
ejpam-2759	301	1	our	our	PRON
ejpam-2759	301	2	goal	goal	NOUN
ejpam-2759	301	3	now	now	ADV
ejpam-2759	301	4	is	be	AUX
ejpam-2759	301	5	to	to	PART
ejpam-2759	301	6	continue	continue	VERB
ejpam-2759	301	7	the	the	DET
ejpam-2759	301	8	proof	proof	NOUN
ejpam-2759	301	9	of	of	ADP
ejpam-2759	301	10	the	the	DET
ejpam-2759	301	11	second	second	ADJ
ejpam-2759	301	12	theorem	theorem	NOUN
ejpam-2759	301	13	.	.	PUNCT
ejpam-2759	302	1	the	the	DET
ejpam-2759	302	2	first	first	ADJ
ejpam-2759	302	3	step	step	NOUN
ejpam-2759	302	4	is	be	AUX
ejpam-2759	302	5	to	to	PART
ejpam-2759	302	6	fix	fix	VERB
ejpam-2759	302	7	an	an	DET
ejpam-2759	302	8	η	η	PROPN
ejpam-2759	302	9	∈	∈	PROPN
ejpam-2759	302	10	(	(	PUNCT
ejpam-2759	302	11	0	0	NUM
ejpam-2759	302	12	,	,	PUNCT
ejpam-2759	302	13	1	1	NUM
ejpam-2759	302	14	)	)	PUNCT
ejpam-2759	302	15	,	,	PUNCT
ejpam-2759	302	16	then	then	ADV
ejpam-2759	302	17	,	,	PUNCT
ejpam-2759	302	18	for	for	ADP
ejpam-2759	302	19	all	all	DET
ejpam-2759	302	20	i	i	PRON
ejpam-2759	302	21	=	=	NOUN
ejpam-2759	302	22	1	1	NUM
ejpam-2759	302	23	,	,	PUNCT
ejpam-2759	302	24	...	...	PUNCT
ejpam-2759	302	25	,	,	PUNCT
ejpam-2759	302	26	ns	ns	INTJ
ejpam-2759	302	27	,	,	PUNCT
ejpam-2759	302	28	we	we	PRON
ejpam-2759	302	29	set	set	VERB
ejpam-2759	302	30	ci	ci	NOUN
ejpam-2759	302	31	,	,	PUNCT
ejpam-2759	302	32	n	n	X
ejpam-2759	302	33	=	=	PUNCT
ejpam-2759	302	34	∑	∑	PUNCT
ejpam-2759	302	35	j	j	PROPN
ejpam-2759	302	36	6	6	NUM
ejpam-2759	302	37	=	=	PROPN
ejpam-2759	302	38	i	i	PROPN
ejpam-2759	302	39	qj	qj	PROPN
ejpam-2759	302	40	,	,	PUNCT
ejpam-2759	302	41	nzj	nzj	PROPN
ejpam-2759	302	42	,	,	PUNCT
ejpam-2759	302	43	n	n	CCONJ
ejpam-2759	302	44	,	,	PUNCT
ejpam-2759	302	45	vi	vi	PROPN
ejpam-2759	302	46	,	,	PUNCT
ejpam-2759	302	47	n	n	NOUN
ejpam-2759	302	48	=	=	SYM
ejpam-2759	302	49	qi	qi	PROPN
ejpam-2759	302	50	,	,	PUNCT
ejpam-2759	302	51	nzi	nzi	PROPN
ejpam-2759	302	52	,	,	PUNCT
ejpam-2759	302	53	n	n	PROPN
ejpam-2759	302	54	+	+	CCONJ
ejpam-2759	302	55	ηci	ηci	ADJ
ejpam-2759	302	56	,	,	PUNCT
ejpam-2759	302	57	n	n	CCONJ
ejpam-2759	302	58	,	,	PUNCT
ejpam-2759	302	59	ui	ui	NOUN
ejpam-2759	302	60	,	,	PUNCT
ejpam-2759	302	61	n	n	PROPN
ejpam-2759	302	62	=	=	SYM
ejpam-2759	302	63	tk(vi	tk(vi	PROPN
ejpam-2759	302	64	,	,	PUNCT
ejpam-2759	302	65	n	n	CCONJ
ejpam-2759	302	66	)	)	PUNCT
ejpam-2759	302	67	.	.	PUNCT
ejpam-2759	303	1	first	first	ADV
ejpam-2759	303	2	,	,	PUNCT
ejpam-2759	303	3	we	we	PRON
ejpam-2759	303	4	have	have	VERB
ejpam-2759	303	5	−∆ui	−∆ui	ADV
ejpam-2759	303	6	,	,	PUNCT
ejpam-2759	303	7	n	n	PROPN
ejpam-2759	303	8	=	=	SYM
ejpam-2759	303	9	−div(t	−div(t	PROPN
ejpam-2759	303	10	′	′	NUM
ejpam-2759	303	11	k(vi	k(vi	PROPN
ejpam-2759	303	12	,	,	PUNCT
ejpam-2759	303	13	n)∇vi	n)∇vi	PROPN
ejpam-2759	303	14	,	,	PUNCT
ejpam-2759	303	15	n	n	CCONJ
ejpam-2759	303	16	)	)	PUNCT
ejpam-2759	303	17	=	=	SYM
ejpam-2759	303	18	−t	−t	NOUN
ejpam-2759	303	19	”	"	PUNCT
ejpam-2759	303	20	k	k	PROPN
ejpam-2759	303	21	(	(	PUNCT
ejpam-2759	303	22	vi	vi	PROPN
ejpam-2759	303	23	,	,	PUNCT
ejpam-2759	303	24	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	303	25	,	,	PUNCT
ejpam-2759	303	26	n|2	n|2	PROPN
ejpam-2759	303	27	−	−	PROPN
ejpam-2759	303	28	t	t	NOUN
ejpam-2759	303	29	′	′	NUM
ejpam-2759	303	30	k(vi	k(vi	PROPN
ejpam-2759	303	31	,	,	PUNCT
ejpam-2759	303	32	n)∆vi	n)∆vi	NUM
ejpam-2759	303	33	,	,	PUNCT
ejpam-2759	303	34	n	n	PROPN
ejpam-2759	303	35	and	and	CCONJ
ejpam-2759	303	36	∂ui	∂ui	PROPN
ejpam-2759	303	37	,	,	PUNCT
ejpam-2759	303	38	n	n	PRON
ejpam-2759	303	39	∂t	∂t	PROPN
ejpam-2759	303	40	=	=	SYM
ejpam-2759	303	41	t	t	PROPN
ejpam-2759	303	42	′	′	NUM
ejpam-2759	303	43	k(vi	k(vi	PROPN
ejpam-2759	303	44	,	,	PUNCT
ejpam-2759	303	45	n	n	CCONJ
ejpam-2759	303	46	)	)	PUNCT
ejpam-2759	303	47	∂vi	∂vi	NOUN
ejpam-2759	303	48	,	,	PUNCT
ejpam-2759	303	49	n	n	PRON
ejpam-2759	303	50	∂t	∂t	PROPN
ejpam-2759	303	51	.	.	PUNCT
ejpam-2759	304	1	then	then	ADV
ejpam-2759	304	2	,	,	PUNCT
ejpam-2759	304	3	we	we	PRON
ejpam-2759	304	4	obtain	obtain	VERB
ejpam-2759	304	5	∂ui	∂ui	PROPN
ejpam-2759	304	6	,	,	PUNCT
ejpam-2759	304	7	n	n	PROPN
ejpam-2759	304	8	∂t	∂t	PROPN
ejpam-2759	304	9	−	−	PROPN
ejpam-2759	304	10	di∆ui	di∆ui	PROPN
ejpam-2759	304	11	,	,	PUNCT
ejpam-2759	304	12	n	n	PROPN
ejpam-2759	304	13	=	=	SYM
ejpam-2759	304	14	t	t	PROPN
ejpam-2759	304	15	′	′	NUM
ejpam-2759	304	16	k(vi	k(vi	PROPN
ejpam-2759	304	17	,	,	PUNCT
ejpam-2759	304	18	n	n	CCONJ
ejpam-2759	304	19	)	)	PUNCT
ejpam-2759	304	20	∂vi	∂vi	NOUN
ejpam-2759	304	21	,	,	PUNCT
ejpam-2759	304	22	n	n	PRON
ejpam-2759	304	23	∂t	∂t	PROPN
ejpam-2759	304	24	−	−	PROPN
ejpam-2759	304	25	dit	dit	NOUN
ejpam-2759	304	26	′	′	NUM
ejpam-2759	304	27	k(vi	k(vi	PROPN
ejpam-2759	304	28	,	,	PUNCT
ejpam-2759	304	29	n)∆vi	n)∆vi	NUM
ejpam-2759	304	30	,	,	PUNCT
ejpam-2759	304	31	n	n	CCONJ
ejpam-2759	304	32	−	−	PROPN
ejpam-2759	304	33	dit	dit	NOUN
ejpam-2759	304	34	”	"	PUNCT
ejpam-2759	304	35	k	k	PROPN
ejpam-2759	304	36	(	(	PUNCT
ejpam-2759	304	37	vi	vi	PROPN
ejpam-2759	304	38	,	,	PUNCT
ejpam-2759	304	39	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	304	40	,	,	PUNCT
ejpam-2759	304	41	n|2	n|2	PROPN
ejpam-2759	304	42	=	=	SYM
ejpam-2759	304	43	t	t	PROPN
ejpam-2759	304	44	′	′	NUM
ejpam-2759	304	45	k(vi	k(vi	PROPN
ejpam-2759	304	46	,	,	PUNCT
ejpam-2759	304	47	n	n	CCONJ
ejpam-2759	304	48	)	)	PUNCT
ejpam-2759	304	49	[	[	PUNCT
ejpam-2759	304	50	∂vi	∂vi	NOUN
ejpam-2759	304	51	,	,	PUNCT
ejpam-2759	304	52	n	n	PRON
ejpam-2759	305	1	∂t	∂t	PROPN
ejpam-2759	305	2	−	−	PROPN
ejpam-2759	305	3	di∆vi	di∆vi	PROPN
ejpam-2759	305	4	,	,	PUNCT
ejpam-2759	305	5	n]−	n]−	NOUN
ejpam-2759	305	6	dit	dit	NOUN
ejpam-2759	305	7	”	"	PUNCT
ejpam-2759	305	8	k	k	PROPN
ejpam-2759	305	9	(	(	PUNCT
ejpam-2759	305	10	vi	vi	PROPN
ejpam-2759	305	11	,	,	PUNCT
ejpam-2759	305	12	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	305	13	,	,	PUNCT
ejpam-2759	305	14	n|2	n|2	PROPN
ejpam-2759	305	15	=	=	SYM
ejpam-2759	305	16	t	t	PROPN
ejpam-2759	305	17	′	′	NUM
ejpam-2759	305	18	k(vn	k(vn	PROPN
ejpam-2759	305	19	)	)	PUNCT
ejpam-2759	305	20	[	[	PUNCT
ejpam-2759	305	21	∂(qi	∂(qi	X
ejpam-2759	305	22	,	,	PUNCT
ejpam-2759	305	23	nzi	nzi	PROPN
ejpam-2759	305	24	,	,	PUNCT
ejpam-2759	305	25	n	n	CCONJ
ejpam-2759	305	26	)	)	PUNCT
ejpam-2759	305	27	∂t	∂t	PROPN
ejpam-2759	305	28	+	+	CCONJ
ejpam-2759	305	29	η	η	PROPN
ejpam-2759	305	30	∂ci	∂ci	PROPN
ejpam-2759	305	31	,	,	PUNCT
ejpam-2759	305	32	n	n	PROPN
ejpam-2759	305	33	∂t	∂t	PROPN
ejpam-2759	305	34	−	−	PROPN
ejpam-2759	305	35	di∆(qi	di∆(qi	PROPN
ejpam-2759	305	36	,	,	PUNCT
ejpam-2759	305	37	nzi	nzi	PROPN
ejpam-2759	305	38	,	,	PUNCT
ejpam-2759	305	39	n)−	n)−	PROPN
ejpam-2759	305	40	ηdi∆(ci	ηdi∆(ci	NOUN
ejpam-2759	305	41	,	,	PUNCT
ejpam-2759	305	42	n	n	CCONJ
ejpam-2759	305	43	)	)	PUNCT
ejpam-2759	305	44	]	]	PUNCT
ejpam-2759	305	45	−	−	PROPN
ejpam-2759	305	46	dit	dit	PROPN
ejpam-2759	305	47	”	"	PUNCT
ejpam-2759	305	48	k	k	PROPN
ejpam-2759	305	49	(	(	PUNCT
ejpam-2759	305	50	vi	vi	PROPN
ejpam-2759	305	51	,	,	PUNCT
ejpam-2759	305	52	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	305	53	,	,	PUNCT
ejpam-2759	305	54	n|2	n|2	NOUN
ejpam-2759	305	55	and	and	CCONJ
ejpam-2759	305	56	we	we	PRON
ejpam-2759	305	57	have	have	VERB
ejpam-2759	305	58	∂(qi	∂(qi	NOUN
ejpam-2759	305	59	,	,	PUNCT
ejpam-2759	305	60	nzi	nzi	PROPN
ejpam-2759	305	61	,	,	PUNCT
ejpam-2759	305	62	n	n	CCONJ
ejpam-2759	305	63	)	)	PUNCT
ejpam-2759	305	64	∂t	∂t	PROPN
ejpam-2759	305	65	−	−	PROPN
ejpam-2759	305	66	di∆(qi	di∆(qi	PROPN
ejpam-2759	305	67	,	,	PUNCT
ejpam-2759	305	68	nzi	nzi	NOUN
ejpam-2759	305	69	,	,	PUNCT
ejpam-2759	305	70	n	n	CCONJ
ejpam-2759	305	71	)	)	PUNCT
ejpam-2759	305	72	=	=	NOUN
ejpam-2759	305	73	∂(qi	∂(qi	NOUN
ejpam-2759	305	74	,	,	PUNCT
ejpam-2759	305	75	nzi	nzi	PROPN
ejpam-2759	305	76	,	,	PUNCT
ejpam-2759	305	77	n	n	CCONJ
ejpam-2759	305	78	)	)	PUNCT
ejpam-2759	305	79	∂t	∂t	PROPN
ejpam-2759	305	80	−	−	PROPN
ejpam-2759	305	81	didiv(qi	didiv(qi	PROPN
ejpam-2759	305	82	,	,	PUNCT
ejpam-2759	305	83	n∇zi	n∇zi	NUM
ejpam-2759	305	84	,	,	PUNCT
ejpam-2759	305	85	n)−	n)−	PROPN
ejpam-2759	305	86	didiv(zi	didiv(zi	VERB
ejpam-2759	305	87	,	,	PUNCT
ejpam-2759	305	88	n∇qi	n∇qi	PROPN
ejpam-2759	305	89	,	,	PUNCT
ejpam-2759	305	90	n	n	CCONJ
ejpam-2759	305	91	)	)	PUNCT
ejpam-2759	305	92	=	=	SYM
ejpam-2759	305	93	sni	sni	PROPN
ejpam-2759	305	94	(	(	PUNCT
ejpam-2759	305	95	zn	zn	PROPN
ejpam-2759	305	96	,	,	PUNCT
ejpam-2759	305	97	φn)−	φn)−	NOUN
ejpam-2759	305	98	didiv(zi	didiv(zi	NOUN
ejpam-2759	305	99	,	,	PUNCT
ejpam-2759	305	100	n∇qi	n∇qi	PROPN
ejpam-2759	305	101	,	,	PUNCT
ejpam-2759	305	102	n	n	CCONJ
ejpam-2759	305	103	)	)	PUNCT
ejpam-2759	305	104	also	also	ADV
ejpam-2759	305	105	,	,	PUNCT
ejpam-2759	305	106	for	for	ADP
ejpam-2759	305	107	j	j	PROPN
ejpam-2759	305	108	=	=	SYM
ejpam-2759	305	109	1	1	NUM
ejpam-2759	305	110	,	,	PUNCT
ejpam-2759	305	111	...	...	PUNCT
ejpam-2759	305	112	,	,	PUNCT
ejpam-2759	305	113	ns	ns	INTJ
ejpam-2759	305	114	,	,	PUNCT
ejpam-2759	305	115	and	and	CCONJ
ejpam-2759	305	116	j	j	PROPN
ejpam-2759	305	117	6=	6=	NUM
ejpam-2759	306	1	i	i	PRON
ejpam-2759	306	2	we	we	PRON
ejpam-2759	306	3	get	get	VERB
ejpam-2759	306	4	∂(qj	∂(qj	ADJ
ejpam-2759	306	5	,	,	PUNCT
ejpam-2759	306	6	nzj	nzj	PROPN
ejpam-2759	306	7	,	,	PUNCT
ejpam-2759	306	8	n	n	CCONJ
ejpam-2759	306	9	)	)	PUNCT
ejpam-2759	307	1	∂t	∂t	PROPN
ejpam-2759	307	2	−	−	PROPN
ejpam-2759	307	3	di∆(qj	di∆(qj	PROPN
ejpam-2759	307	4	,	,	PUNCT
ejpam-2759	307	5	nzj	nzj	PROPN
ejpam-2759	307	6	,	,	PUNCT
ejpam-2759	307	7	n	n	CCONJ
ejpam-2759	307	8	)	)	PUNCT
ejpam-2759	307	9	=	=	SYM
ejpam-2759	307	10	snj	snj	ADJ
ejpam-2759	307	11	(	(	PUNCT
ejpam-2759	307	12	zn	zn	PROPN
ejpam-2759	307	13	,	,	PUNCT
ejpam-2759	307	14	φn	φn	PROPN
ejpam-2759	307	15	)	)	PUNCT
ejpam-2759	307	16	+	+	CCONJ
ejpam-2759	307	17	(	(	PUNCT
ejpam-2759	307	18	dj	dj	ADV
ejpam-2759	307	19	−	−	PROPN
ejpam-2759	307	20	di)div(qj	di)div(qj	NOUN
ejpam-2759	307	21	,	,	PUNCT
ejpam-2759	307	22	n∇zj	n∇zj	PROPN
ejpam-2759	307	23	,	,	PUNCT
ejpam-2759	307	24	n)−	n)−	PROPN
ejpam-2759	307	25	didiv(zj	didiv(zj	PROPN
ejpam-2759	307	26	,	,	PUNCT
ejpam-2759	307	27	n∇qj	n∇qj	NOUN
ejpam-2759	307	28	,	,	PUNCT
ejpam-2759	307	29	n	n	CCONJ
ejpam-2759	307	30	)	)	PUNCT
ejpam-2759	307	31	.	.	PUNCT
ejpam-2759	308	1	this	this	DET
ejpam-2759	308	2	yields	yield	NOUN
ejpam-2759	308	3	to	to	ADP
ejpam-2759	308	4	the	the	DET
ejpam-2759	308	5	following	follow	VERB
ejpam-2759	308	6	∂ui	∂ui	PROPN
ejpam-2759	308	7	,	,	PUNCT
ejpam-2759	308	8	n	n	PROPN
ejpam-2759	308	9	∂t	∂t	PROPN
ejpam-2759	308	10	−	−	PROPN
ejpam-2759	308	11	di∆ui	di∆ui	PROPN
ejpam-2759	308	12	,	,	PUNCT
ejpam-2759	308	13	n	n	PROPN
ejpam-2759	308	14	=	=	SYM
ejpam-2759	308	15	t	t	PROPN
ejpam-2759	308	16	′	′	NUM
ejpam-2759	308	17	k(vi	k(vi	PROPN
ejpam-2759	308	18	,	,	PUNCT
ejpam-2759	308	19	n)[sni	n)[sni	NOUN
ejpam-2759	308	20	(	(	PUNCT
ejpam-2759	308	21	zn	zn	PROPN
ejpam-2759	308	22	,	,	PUNCT
ejpam-2759	308	23	φn	φn	PROPN
ejpam-2759	308	24	)	)	PUNCT
ejpam-2759	308	25	+	+	CCONJ
ejpam-2759	308	26	η	η	PROPN
ejpam-2759	308	27	∑	∑	PROPN
ejpam-2759	308	28	j	j	PROPN
ejpam-2759	308	29	6	6	NUM
ejpam-2759	308	30	=	=	NOUN
ejpam-2759	308	31	i	i	PRON
ejpam-2759	308	32	snj	snj	ADJ
ejpam-2759	308	33	(	(	PUNCT
ejpam-2759	308	34	zn	zn	PROPN
ejpam-2759	308	35	,	,	PUNCT
ejpam-2759	308	36	φn)−	φn)−	NOUN
ejpam-2759	308	37	didiv(zi	didiv(zi	NOUN
ejpam-2759	308	38	,	,	PUNCT
ejpam-2759	308	39	n∇qi	n∇qi	PROPN
ejpam-2759	308	40	,	,	PUNCT
ejpam-2759	308	41	n	n	PROPN
ejpam-2759	308	42	+	+	CCONJ
ejpam-2759	308	43	η	η	PROPN
ejpam-2759	308	44	∑	∑	PROPN
ejpam-2759	308	45	j	j	PROPN
ejpam-2759	308	46	6	6	NUM
ejpam-2759	308	47	=	=	PROPN
ejpam-2759	308	48	i	i	PROPN
ejpam-2759	308	49	zj	zj	PROPN
ejpam-2759	308	50	,	,	PUNCT
ejpam-2759	308	51	n∇qj	n∇qj	X
ejpam-2759	308	52	,	,	PUNCT
ejpam-2759	308	53	n	n	CCONJ
ejpam-2759	308	54	)	)	PUNCT
ejpam-2759	308	55	+	+	NOUN
ejpam-2759	308	56	η	η	X
ejpam-2759	308	57	∑	∑	PROPN
ejpam-2759	308	58	j	j	PROPN
ejpam-2759	308	59	6	6	NUM
ejpam-2759	308	60	=	=	NOUN
ejpam-2759	308	61	i	i	PROPN
ejpam-2759	308	62	(	(	PUNCT
ejpam-2759	308	63	dj	dj	NOUN
ejpam-2759	308	64	−	−	PROPN
ejpam-2759	308	65	di)div(qj	di)div(qj	NOUN
ejpam-2759	308	66	,	,	PUNCT
ejpam-2759	308	67	n∇zj	n∇zj	PROPN
ejpam-2759	308	68	,	,	PUNCT
ejpam-2759	308	69	n)]−	n)]−	ADJ
ejpam-2759	308	70	dit	dit	NOUN
ejpam-2759	308	71	”	"	PUNCT
ejpam-2759	308	72	k	k	PROPN
ejpam-2759	308	73	(	(	PUNCT
ejpam-2759	308	74	vi	vi	PROPN
ejpam-2759	308	75	,	,	PUNCT
ejpam-2759	308	76	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	308	77	,	,	PUNCT
ejpam-2759	308	78	n|2	n|2	PROPN
ejpam-2759	308	79	therefore	therefore	ADV
ejpam-2759	308	80	∂ui	∂ui	PROPN
ejpam-2759	308	81	,	,	PUNCT
ejpam-2759	308	82	n	n	PRON
ejpam-2759	308	83	∂t	∂t	PROPN
ejpam-2759	308	84	−di∆ui	−di∆ui	PROPN
ejpam-2759	308	85	,	,	PUNCT
ejpam-2759	308	86	n	n	NOUN
ejpam-2759	308	87	=	=	SYM
ejpam-2759	309	1	[	[	X
ejpam-2759	309	2	yi	yi	PROPN
ejpam-2759	309	3	,	,	PUNCT
ejpam-2759	309	4	n+ηxi	n+ηxi	PROPN
ejpam-2759	309	5	,	,	PUNCT
ejpam-2759	309	6	n]−dit	n]−dit	NOUN
ejpam-2759	309	7	′	′	NUM
ejpam-2759	309	8	k(vi	k(vi	PROPN
ejpam-2759	309	9	,	,	PUNCT
ejpam-2759	309	10	n)div(zi	n)div(zi	VERB
ejpam-2759	309	11	,	,	PUNCT
ejpam-2759	309	12	n∇qi	n∇qi	PROPN
ejpam-2759	309	13	,	,	PUNCT
ejpam-2759	309	14	n+η	n+η	X
ejpam-2759	309	15	∑	∑	PROPN
ejpam-2759	309	16	j	j	PROPN
ejpam-2759	309	17	6	6	NUM
ejpam-2759	309	18	=	=	PROPN
ejpam-2759	309	19	i	i	PROPN
ejpam-2759	309	20	zj	zj	PROPN
ejpam-2759	309	21	,	,	PUNCT
ejpam-2759	309	22	n∇qj	n∇qj	NUM
ejpam-2759	309	23	,	,	PUNCT
ejpam-2759	309	24	n)−dit	n)−dit	PROPN
ejpam-2759	309	25	”	"	PUNCT
ejpam-2759	309	26	k	k	PROPN
ejpam-2759	309	27	(	(	PUNCT
ejpam-2759	309	28	vi	vi	PROPN
ejpam-2759	309	29	,	,	PUNCT
ejpam-2759	309	30	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	309	31	,	,	PUNCT
ejpam-2759	309	32	n|2	n|2	PROPN
ejpam-2759	309	33	n.	n.	PROPN
ejpam-2759	309	34	alaa	alaa	PROPN
ejpam-2759	309	35	,	,	PUNCT
ejpam-2759	309	36	f.	f.	PROPN
ejpam-2759	309	37	aqel	aqel	PROPN
ejpam-2759	309	38	/	/	SYM
ejpam-2759	309	39	eur	eur	PROPN
ejpam-2759	309	40	.	.	PUNCT
ejpam-2759	310	1	j.	j.	PROPN
ejpam-2759	310	2	pure	pure	PROPN
ejpam-2759	310	3	appl	appl	PROPN
ejpam-2759	310	4	.	.	PROPN
ejpam-2759	310	5	math	math	PROPN
ejpam-2759	310	6	,	,	PUNCT
ejpam-2759	310	7	10	10	NUM
ejpam-2759	310	8	(	(	PUNCT
ejpam-2759	310	9	2	2	NUM
ejpam-2759	310	10	)	)	PUNCT
ejpam-2759	310	11	(	(	PUNCT
ejpam-2759	310	12	2017	2017	NUM
ejpam-2759	310	13	)	)	PUNCT
ejpam-2759	310	14	,	,	PUNCT
ejpam-2759	310	15	272	272	NUM
ejpam-2759	310	16	-	-	SYM
ejpam-2759	310	17	294	294	NUM
ejpam-2759	310	18	287	287	NUM
ejpam-2759	311	1	where	where	SCONJ
ejpam-2759	311	2	yi	yi	PROPN
ejpam-2759	311	3	,	,	PUNCT
ejpam-2759	311	4	n	n	PROPN
ejpam-2759	311	5	=	=	SYM
ejpam-2759	311	6	t	t	PROPN
ejpam-2759	311	7	′	′	NUM
ejpam-2759	311	8	k(vi	k(vi	PROPN
ejpam-2759	311	9	,	,	PUNCT
ejpam-2759	311	10	n)[sni	n)[sni	NOUN
ejpam-2759	311	11	(	(	PUNCT
ejpam-2759	311	12	zn	zn	PROPN
ejpam-2759	311	13	,	,	PUNCT
ejpam-2759	311	14	φn	φn	PROPN
ejpam-2759	311	15	)	)	PUNCT
ejpam-2759	311	16	+	+	CCONJ
ejpam-2759	311	17	η	η	PROPN
ejpam-2759	311	18	∑	∑	PROPN
ejpam-2759	311	19	j	j	PROPN
ejpam-2759	311	20	6	6	NUM
ejpam-2759	311	21	=	=	NOUN
ejpam-2759	311	22	i	i	PRON
ejpam-2759	311	23	snj	snj	ADJ
ejpam-2759	311	24	(	(	PUNCT
ejpam-2759	311	25	zn	zn	PROPN
ejpam-2759	311	26	,	,	PUNCT
ejpam-2759	311	27	φn	φn	NOUN
ejpam-2759	311	28	)	)	PUNCT
ejpam-2759	311	29	]	]	PUNCT
ejpam-2759	311	30	xi	xi	PROPN
ejpam-2759	311	31	,	,	PUNCT
ejpam-2759	311	32	n	n	PROPN
ejpam-2759	311	33	=	=	SYM
ejpam-2759	311	34	t	t	PROPN
ejpam-2759	311	35	′	′	NUM
ejpam-2759	311	36	k(vi	k(vi	PROPN
ejpam-2759	311	37	,	,	PUNCT
ejpam-2759	311	38	n	n	CCONJ
ejpam-2759	311	39	)	)	PUNCT
ejpam-2759	311	40	∑	∑	ADP
ejpam-2759	311	41	j	j	PROPN
ejpam-2759	311	42	6	6	NUM
ejpam-2759	311	43	=	=	NOUN
ejpam-2759	311	44	i	i	PROPN
ejpam-2759	311	45	(	(	PUNCT
ejpam-2759	311	46	dj	dj	NOUN
ejpam-2759	311	47	−	−	PROPN
ejpam-2759	311	48	di)div(qj	di)div(qj	NOUN
ejpam-2759	311	49	,	,	PUNCT
ejpam-2759	311	50	n∇zj	n∇zj	PROPN
ejpam-2759	311	51	,	,	PUNCT
ejpam-2759	311	52	n	n	CCONJ
ejpam-2759	311	53	)	)	PUNCT
ejpam-2759	311	54	we	we	PRON
ejpam-2759	311	55	may	may	AUX
ejpam-2759	311	56	write	write	VERB
ejpam-2759	311	57	for	for	ADP
ejpam-2759	311	58	ψ	ψ	X
ejpam-2759	311	59	∈	∈	PROPN
ejpam-2759	311	60	d	d	X
ejpam-2759	311	61	:	:	PUNCT
ejpam-2759	311	62	∫	∫	PROPN
ejpam-2759	311	63	qt	qt	PROPN
ejpam-2759	311	64	ψ	ψ	X
ejpam-2759	311	65	[	[	PUNCT
ejpam-2759	311	66	∂ui	∂ui	PROPN
ejpam-2759	311	67	,	,	PUNCT
ejpam-2759	311	68	n	n	PROPN
ejpam-2759	311	69	∂t	∂t	PROPN
ejpam-2759	311	70	−	−	PROPN
ejpam-2759	311	71	di∆ui	di∆ui	PROPN
ejpam-2759	311	72	,	,	PUNCT
ejpam-2759	311	73	n	n	CCONJ
ejpam-2759	311	74	]	]	PUNCT
ejpam-2759	311	75	+	+	CCONJ
ejpam-2759	311	76	di	di	X
ejpam-2759	311	77	∫	∫	PROPN
ejpam-2759	311	78	qt	qt	PROPN
ejpam-2759	311	79	ψt	ψt	VERB
ejpam-2759	311	80	′	′	NUM
ejpam-2759	311	81	k(vi	k(vi	PROPN
ejpam-2759	311	82	,	,	PUNCT
ejpam-2759	311	83	n)div(zi	n)div(zi	VERB
ejpam-2759	311	84	,	,	PUNCT
ejpam-2759	311	85	n∇qi	n∇qi	NOUN
ejpam-2759	311	86	,	,	PUNCT
ejpam-2759	311	87	n	n	PROPN
ejpam-2759	311	88	+	+	CCONJ
ejpam-2759	311	89	η	η	PROPN
ejpam-2759	311	90	∑	∑	PROPN
ejpam-2759	311	91	j	j	PROPN
ejpam-2759	311	92	6	6	NUM
ejpam-2759	311	93	=	=	PROPN
ejpam-2759	311	94	i	i	PROPN
ejpam-2759	311	95	zj	zj	PROPN
ejpam-2759	311	96	,	,	PUNCT
ejpam-2759	311	97	n∇qj	n∇qj	X
ejpam-2759	311	98	,	,	PUNCT
ejpam-2759	311	99	n	n	CCONJ
ejpam-2759	311	100	)	)	PUNCT
ejpam-2759	311	101	=	=	SYM
ejpam-2759	311	102	∫	∫	PROPN
ejpam-2759	311	103	qt	qt	PROPN
ejpam-2759	311	104	ψ[yi	ψ[yi	PROPN
ejpam-2759	311	105	,	,	PUNCT
ejpam-2759	311	106	n	n	PROPN
ejpam-2759	311	107	+	+	NUM
ejpam-2759	311	108	ηxi	ηxi	PROPN
ejpam-2759	311	109	,	,	PUNCT
ejpam-2759	311	110	n]−	n]−	PROPN
ejpam-2759	311	111	di	di	PROPN
ejpam-2759	311	112	∫	∫	PROPN
ejpam-2759	311	113	qt	qt	PROPN
ejpam-2759	311	114	ψt	ψt	INTJ
ejpam-2759	311	115	”	"	PUNCT
ejpam-2759	311	116	k	k	PROPN
ejpam-2759	311	117	(	(	PUNCT
ejpam-2759	311	118	vi	vi	PROPN
ejpam-2759	311	119	,	,	PUNCT
ejpam-2759	311	120	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	311	121	,	,	PUNCT
ejpam-2759	311	122	n|2	n|2	PROPN
ejpam-2759	311	123	.	.	PROPN
ejpam-2759	312	1	after	after	ADP
ejpam-2759	312	2	an	an	DET
ejpam-2759	312	3	integration	integration	NOUN
ejpam-2759	312	4	by	by	ADP
ejpam-2759	312	5	parts	part	NOUN
ejpam-2759	312	6	,	,	PUNCT
ejpam-2759	312	7	we	we	PRON
ejpam-2759	312	8	obtain	obtain	VERB
ejpam-2759	312	9	−	−	PROPN
ejpam-2759	312	10	∫	∫	PROPN
ejpam-2759	312	11	ω	ω	NUM
ejpam-2759	312	12	ψ(0)ui	ψ(0)ui	NOUN
ejpam-2759	312	13	,	,	PUNCT
ejpam-2759	312	14	n(0	n(0	PROPN
ejpam-2759	312	15	)	)	PUNCT
ejpam-2759	313	1	+	+	CCONJ
ejpam-2759	313	2	∫	∫	X
ejpam-2759	313	3	qt	qt	X
ejpam-2759	313	4	[	[	X
ejpam-2759	313	5	−ψtui	−ψtui	X
ejpam-2759	313	6	,	,	PUNCT
ejpam-2759	313	7	n	n	PROPN
ejpam-2759	313	8	+	+	X
ejpam-2759	313	9	di∇ψ∇ui	di∇ψ∇ui	PROPN
ejpam-2759	313	10	,	,	PUNCT
ejpam-2759	313	11	n]−	n]−	ADJ
ejpam-2759	313	12	di	di	NOUN
ejpam-2759	313	13	∫	∫	PROPN
ejpam-2759	313	14	σt	σt	ADP
ejpam-2759	313	15	ψ	ψ	X
ejpam-2759	313	16	∂ui	∂ui	PROPN
ejpam-2759	313	17	,	,	PUNCT
ejpam-2759	313	18	n	n	PROPN
ejpam-2759	313	19	∂υ	∂υ	PROPN
ejpam-2759	313	20	−di	−di	PROPN
ejpam-2759	313	21	∫	∫	NOUN
ejpam-2759	313	22	qt	qt	PROPN
ejpam-2759	313	23	∇(ψt	∇(ψt	NOUN
ejpam-2759	313	24	′	′	NUM
ejpam-2759	313	25	k(vi	k(vi	PROPN
ejpam-2759	313	26	,	,	PUNCT
ejpam-2759	313	27	n))(zi	n))(zi	NOUN
ejpam-2759	313	28	,	,	PUNCT
ejpam-2759	313	29	n∇qi	n∇qi	NOUN
ejpam-2759	313	30	,	,	PUNCT
ejpam-2759	313	31	n	n	PROPN
ejpam-2759	313	32	+	+	CCONJ
ejpam-2759	313	33	η	η	PROPN
ejpam-2759	313	34	∑	∑	PROPN
ejpam-2759	313	35	j	j	PROPN
ejpam-2759	313	36	6	6	NUM
ejpam-2759	313	37	=	=	PROPN
ejpam-2759	313	38	i	i	PROPN
ejpam-2759	313	39	zj	zj	PROPN
ejpam-2759	313	40	,	,	PUNCT
ejpam-2759	313	41	n∇qj	n∇qj	X
ejpam-2759	313	42	,	,	PUNCT
ejpam-2759	313	43	n	n	CCONJ
ejpam-2759	313	44	)	)	PUNCT
ejpam-2759	314	1	+	+	NOUN
ejpam-2759	314	2	di	di	NOUN
ejpam-2759	314	3	∫	∫	PROPN
ejpam-2759	314	4	σt	σt	PART
ejpam-2759	314	5	ψt	ψt	VERB
ejpam-2759	314	6	′	′	NUM
ejpam-2759	314	7	k(vi	k(vi	PROPN
ejpam-2759	314	8	,	,	PUNCT
ejpam-2759	314	9	n)(zi	n)(zi	NUM
ejpam-2759	314	10	,	,	PUNCT
ejpam-2759	314	11	n∂υqi	n∂υqi	NUM
ejpam-2759	314	12	,	,	PUNCT
ejpam-2759	314	13	n	n	PROPN
ejpam-2759	314	14	+	+	CCONJ
ejpam-2759	314	15	η	η	PROPN
ejpam-2759	314	16	∑	∑	PROPN
ejpam-2759	314	17	j	j	PROPN
ejpam-2759	314	18	6	6	NUM
ejpam-2759	314	19	=	=	PROPN
ejpam-2759	314	20	i	i	PROPN
ejpam-2759	314	21	zj	zj	PROPN
ejpam-2759	314	22	,	,	PUNCT
ejpam-2759	314	23	n∂υqj	n∂υqj	PROPN
ejpam-2759	314	24	,	,	PUNCT
ejpam-2759	314	25	n	n	CCONJ
ejpam-2759	314	26	)	)	PUNCT
ejpam-2759	314	27	=	=	SYM
ejpam-2759	315	1	∫	∫	PROPN
ejpam-2759	315	2	qt	qt	PROPN
ejpam-2759	315	3	ψ[yi	ψ[yi	PROPN
ejpam-2759	315	4	,	,	PUNCT
ejpam-2759	315	5	n	n	PROPN
ejpam-2759	315	6	+	+	NUM
ejpam-2759	315	7	ηxi	ηxi	PROPN
ejpam-2759	315	8	,	,	PUNCT
ejpam-2759	315	9	n]−	n]−	PROPN
ejpam-2759	315	10	di	di	PROPN
ejpam-2759	315	11	∫	∫	PROPN
ejpam-2759	315	12	qt	qt	PROPN
ejpam-2759	315	13	ψt	ψt	INTJ
ejpam-2759	315	14	”	"	PUNCT
ejpam-2759	315	15	k	k	PROPN
ejpam-2759	315	16	(	(	PUNCT
ejpam-2759	315	17	vi	vi	PROPN
ejpam-2759	315	18	,	,	PUNCT
ejpam-2759	315	19	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	315	20	,	,	PUNCT
ejpam-2759	315	21	n|2	n|2	NOUN
ejpam-2759	315	22	.	.	PROPN
ejpam-2759	315	23	using	use	VERB
ejpam-2759	315	24	the	the	DET
ejpam-2759	315	25	homogeneous	homogeneous	ADJ
ejpam-2759	315	26	neumann	neumann	PROPN
ejpam-2759	315	27	boundary	boundary	ADJ
ejpam-2759	315	28	conditions	condition	NOUN
ejpam-2759	315	29	,	,	PUNCT
ejpam-2759	315	30	it	it	PRON
ejpam-2759	315	31	is	be	AUX
ejpam-2759	315	32	clear	clear	ADJ
ejpam-2759	315	33	that	that	SCONJ
ejpam-2759	315	34	−	−	PROPN
ejpam-2759	315	35	∫	∫	PROPN
ejpam-2759	315	36	ω	ω	NUM
ejpam-2759	315	37	ψ(0)ui	ψ(0)ui	NOUN
ejpam-2759	315	38	,	,	PUNCT
ejpam-2759	315	39	n(0	n(0	PROPN
ejpam-2759	315	40	)	)	PUNCT
ejpam-2759	315	41	+	+	CCONJ
ejpam-2759	315	42	∫	∫	X
ejpam-2759	315	43	qt	qt	X
ejpam-2759	315	44	[	[	X
ejpam-2759	315	45	−ψtui	−ψtui	X
ejpam-2759	315	46	,	,	PUNCT
ejpam-2759	315	47	n	n	PROPN
ejpam-2759	315	48	+	+	X
ejpam-2759	315	49	di∇ψ∇ui	di∇ψ∇ui	PROPN
ejpam-2759	315	50	,	,	PUNCT
ejpam-2759	315	51	n]−	n]−	ADJ
ejpam-2759	315	52	di	di	NOUN
ejpam-2759	315	53	∫	∫	PROPN
ejpam-2759	315	54	qt	qt	PROPN
ejpam-2759	315	55	∇(ψt	∇(ψt	NOUN
ejpam-2759	315	56	′	′	NUM
ejpam-2759	315	57	k(vi	k(vi	PROPN
ejpam-2759	315	58	,	,	PUNCT
ejpam-2759	315	59	n))(zi	n))(zi	NOUN
ejpam-2759	315	60	,	,	PUNCT
ejpam-2759	315	61	n∇qi	n∇qi	NOUN
ejpam-2759	315	62	,	,	PUNCT
ejpam-2759	315	63	n	n	PROPN
ejpam-2759	315	64	+	+	CCONJ
ejpam-2759	315	65	η	η	PROPN
ejpam-2759	315	66	∑	∑	PROPN
ejpam-2759	315	67	j	j	PROPN
ejpam-2759	315	68	6	6	NUM
ejpam-2759	315	69	=	=	PROPN
ejpam-2759	315	70	i	i	PROPN
ejpam-2759	315	71	zj	zj	PROPN
ejpam-2759	315	72	,	,	PUNCT
ejpam-2759	315	73	n∇qj	n∇qj	X
ejpam-2759	315	74	,	,	PUNCT
ejpam-2759	315	75	n	n	CCONJ
ejpam-2759	315	76	)	)	PUNCT
ejpam-2759	315	77	=	=	SYM
ejpam-2759	315	78	∫	∫	PROPN
ejpam-2759	315	79	qt	qt	PROPN
ejpam-2759	315	80	ψ[yi	ψ[yi	PROPN
ejpam-2759	315	81	,	,	PUNCT
ejpam-2759	315	82	n	n	PROPN
ejpam-2759	315	83	+	+	NUM
ejpam-2759	315	84	ηxi	ηxi	PROPN
ejpam-2759	315	85	,	,	PUNCT
ejpam-2759	315	86	n]−	n]−	PROPN
ejpam-2759	315	87	di	di	PROPN
ejpam-2759	315	88	∫	∫	PROPN
ejpam-2759	315	89	qt	qt	PROPN
ejpam-2759	315	90	ψt	ψt	INTJ
ejpam-2759	315	91	”	"	PUNCT
ejpam-2759	315	92	k	k	PROPN
ejpam-2759	315	93	(	(	PUNCT
ejpam-2759	315	94	vi	vi	PROPN
ejpam-2759	315	95	,	,	PUNCT
ejpam-2759	315	96	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	315	97	,	,	PUNCT
ejpam-2759	315	98	n|2	n|2	NOUN
ejpam-2759	315	99	,	,	PUNCT
ejpam-2759	315	100	(	(	PUNCT
ejpam-2759	315	101	23	23	NUM
ejpam-2759	315	102	)	)	PUNCT
ejpam-2759	315	103	this	this	PRON
ejpam-2759	315	104	lead	lead	VERB
ejpam-2759	315	105	us	we	PRON
ejpam-2759	315	106	to	to	ADP
ejpam-2759	315	107	the	the	DET
ejpam-2759	315	108	following	follow	VERB
ejpam-2759	315	109	−	−	PROPN
ejpam-2759	315	110	∫	∫	PROPN
ejpam-2759	315	111	ω	ω	NUM
ejpam-2759	315	112	ψ(0)ui	ψ(0)ui	NOUN
ejpam-2759	315	113	,	,	PUNCT
ejpam-2759	315	114	n(0	n(0	PROPN
ejpam-2759	315	115	)	)	PUNCT
ejpam-2759	316	1	+	+	CCONJ
ejpam-2759	316	2	∫	∫	X
ejpam-2759	316	3	qt	qt	X
ejpam-2759	316	4	[	[	X
ejpam-2759	316	5	−ψtui	−ψtui	X
ejpam-2759	316	6	,	,	PUNCT
ejpam-2759	316	7	n	n	PROPN
ejpam-2759	316	8	+	+	X
ejpam-2759	316	9	di∇ψ∇ui	di∇ψ∇ui	PROPN
ejpam-2759	316	10	,	,	PUNCT
ejpam-2759	316	11	n]−	n]−	ADJ
ejpam-2759	316	12	di	di	PROPN
ejpam-2759	316	13	∫	∫	PROPN
ejpam-2759	316	14	qt	qt	PROPN
ejpam-2759	316	15	∇ψt	∇ψt	PROPN
ejpam-2759	316	16	′k(vi	′k(vi	NOUN
ejpam-2759	316	17	,	,	PUNCT
ejpam-2759	316	18	n)(zi	n)(zi	NUM
ejpam-2759	316	19	,	,	PUNCT
ejpam-2759	316	20	n∇qi	n∇qi	PROPN
ejpam-2759	316	21	,	,	PUNCT
ejpam-2759	316	22	n	n	PROPN
ejpam-2759	316	23	+	+	CCONJ
ejpam-2759	316	24	η	η	PROPN
ejpam-2759	316	25	∑	∑	PROPN
ejpam-2759	316	26	j	j	PROPN
ejpam-2759	316	27	6	6	NUM
ejpam-2759	316	28	=	=	PROPN
ejpam-2759	316	29	i	i	PROPN
ejpam-2759	316	30	zj	zj	PROPN
ejpam-2759	316	31	,	,	PUNCT
ejpam-2759	316	32	n∇qj	n∇qj	X
ejpam-2759	316	33	,	,	PUNCT
ejpam-2759	316	34	n	n	CCONJ
ejpam-2759	316	35	)	)	PUNCT
ejpam-2759	316	36	−di	−di	PROPN
ejpam-2759	316	37	∫	∫	PROPN
ejpam-2759	316	38	qt	qt	PROPN
ejpam-2759	316	39	ψt	ψt	INTJ
ejpam-2759	316	40	”	"	PUNCT
ejpam-2759	316	41	k	k	PROPN
ejpam-2759	316	42	(	(	PUNCT
ejpam-2759	316	43	vi	vi	PROPN
ejpam-2759	316	44	,	,	PUNCT
ejpam-2759	316	45	n)∇vi	n)∇vi	ADJ
ejpam-2759	316	46	,	,	PUNCT
ejpam-2759	316	47	n(zi	n(zi	NUM
ejpam-2759	316	48	,	,	PUNCT
ejpam-2759	316	49	n∇qi	n∇qi	NOUN
ejpam-2759	316	50	,	,	PUNCT
ejpam-2759	316	51	n	n	PROPN
ejpam-2759	316	52	+	+	CCONJ
ejpam-2759	316	53	η	η	PROPN
ejpam-2759	316	54	∑	∑	PROPN
ejpam-2759	316	55	j	j	PROPN
ejpam-2759	316	56	6	6	NUM
ejpam-2759	316	57	=	=	PROPN
ejpam-2759	316	58	i	i	PROPN
ejpam-2759	316	59	zj	zj	PROPN
ejpam-2759	316	60	,	,	PUNCT
ejpam-2759	316	61	n∇qj	n∇qj	X
ejpam-2759	316	62	,	,	PUNCT
ejpam-2759	316	63	n	n	CCONJ
ejpam-2759	316	64	)	)	PUNCT
ejpam-2759	316	65	≥	≥	PROPN
ejpam-2759	316	66	∫	∫	PROPN
ejpam-2759	316	67	qt	qt	PROPN
ejpam-2759	316	68	ψ[yi	ψ[yi	PROPN
ejpam-2759	316	69	,	,	PUNCT
ejpam-2759	316	70	n	n	PROPN
ejpam-2759	316	71	+	+	NUM
ejpam-2759	316	72	ηxi	ηxi	PROPN
ejpam-2759	316	73	,	,	PUNCT
ejpam-2759	316	74	n	n	CCONJ
ejpam-2759	316	75	]	]	X
ejpam-2759	316	76	(	(	PUNCT
ejpam-2759	316	77	24	24	NUM
ejpam-2759	316	78	)	)	PUNCT
ejpam-2759	316	79	where	where	SCONJ
ejpam-2759	316	80	−di	−di	PROPN
ejpam-2759	316	81	∫	∫	PROPN
ejpam-2759	316	82	qt	qt	PROPN
ejpam-2759	316	83	ψt	ψt	INTJ
ejpam-2759	316	84	”	"	PUNCT
ejpam-2759	316	85	k	k	PROPN
ejpam-2759	316	86	(	(	PUNCT
ejpam-2759	316	87	vi	vi	PROPN
ejpam-2759	316	88	,	,	PUNCT
ejpam-2759	316	89	n)|∇vi	n)|∇vi	NOUN
ejpam-2759	316	90	,	,	PUNCT
ejpam-2759	316	91	n|2	n|2	X
ejpam-2759	316	92	≥	≥	NOUN
ejpam-2759	316	93	0	0	NUM
ejpam-2759	316	94	.	.	PUNCT
ejpam-2759	317	1	then	then	ADV
ejpam-2759	317	2	(	(	PUNCT
ejpam-2759	317	3	24	24	NUM
ejpam-2759	317	4	)	)	PUNCT
ejpam-2759	317	5	could	could	AUX
ejpam-2759	317	6	be	be	AUX
ejpam-2759	317	7	written	write	VERB
ejpam-2759	317	8	as	as	SCONJ
ejpam-2759	317	9	follows	follow	VERB
ejpam-2759	317	10	−	−	PROPN
ejpam-2759	317	11	∫	∫	PROPN
ejpam-2759	317	12	ω	ω	NUM
ejpam-2759	317	13	ψ(0)ui	ψ(0)ui	NOUN
ejpam-2759	317	14	,	,	PUNCT
ejpam-2759	317	15	n(0	n(0	PROPN
ejpam-2759	317	16	)	)	PUNCT
ejpam-2759	318	1	+	+	CCONJ
ejpam-2759	318	2	∫	∫	X
ejpam-2759	318	3	qt	qt	X
ejpam-2759	318	4	[	[	X
ejpam-2759	318	5	−ψtui	−ψtui	X
ejpam-2759	318	6	,	,	PUNCT
ejpam-2759	318	7	n	n	PROPN
ejpam-2759	318	8	+	+	X
ejpam-2759	318	9	di∇ψ∇ui	di∇ψ∇ui	PROPN
ejpam-2759	318	10	,	,	PUNCT
ejpam-2759	318	11	n]−	n]−	ADJ
ejpam-2759	318	12	di	di	PROPN
ejpam-2759	318	13	∫	∫	PROPN
ejpam-2759	318	14	qt	qt	PROPN
ejpam-2759	318	15	∇ψt	∇ψt	PROPN
ejpam-2759	318	16	′k(vi	′k(vi	NOUN
ejpam-2759	318	17	,	,	PUNCT
ejpam-2759	318	18	n)(zi	n)(zi	NUM
ejpam-2759	318	19	,	,	PUNCT
ejpam-2759	318	20	n∇qi	n∇qi	PROPN
ejpam-2759	318	21	,	,	PUNCT
ejpam-2759	318	22	n	n	PROPN
ejpam-2759	318	23	+	+	CCONJ
ejpam-2759	318	24	η	η	PROPN
ejpam-2759	318	25	∑	∑	PROPN
ejpam-2759	318	26	j	j	PROPN
ejpam-2759	318	27	6	6	NUM
ejpam-2759	318	28	=	=	PROPN
ejpam-2759	318	29	i	i	PROPN
ejpam-2759	318	30	zj	zj	PROPN
ejpam-2759	318	31	,	,	PUNCT
ejpam-2759	318	32	n∇qj	n∇qj	X
ejpam-2759	318	33	,	,	PUNCT
ejpam-2759	318	34	n	n	CCONJ
ejpam-2759	318	35	)	)	PUNCT
ejpam-2759	319	1	+	+	NOUN
ejpam-2759	319	2	mi	mi	NOUN
ejpam-2759	319	3	∫	∫	PROPN
ejpam-2759	319	4	qt	qt	PROPN
ejpam-2759	319	5	ψt	ψt	INTJ
ejpam-2759	319	6	”	"	PUNCT
ejpam-2759	319	7	k	k	PROPN
ejpam-2759	319	8	(	(	PUNCT
ejpam-2759	319	9	vi	vi	PROPN
ejpam-2759	319	10	,	,	PUNCT
ejpam-2759	319	11	n)∇vi	n)∇vi	ADJ
ejpam-2759	319	12	,	,	PUNCT
ejpam-2759	319	13	n(zi	n(zi	NOUN
ejpam-2759	319	14	,	,	PUNCT
ejpam-2759	319	15	nqi	nqi	NOUN
ejpam-2759	319	16	,	,	PUNCT
ejpam-2759	319	17	n∇φn	n∇φn	NOUN
ejpam-2759	319	18	)	)	PUNCT
ejpam-2759	319	19	≥	≥	NUM
ejpam-2759	319	20	∫	∫	PROPN
ejpam-2759	319	21	qt	qt	PROPN
ejpam-2759	319	22	ψ[yi	ψ[yi	PROPN
ejpam-2759	319	23	,	,	PUNCT
ejpam-2759	319	24	n	n	PROPN
ejpam-2759	319	25	+	+	NUM
ejpam-2759	319	26	ηxi	ηxi	PROPN
ejpam-2759	319	27	,	,	PUNCT
ejpam-2759	319	28	n]−	n]−	ADV
ejpam-2759	319	29	ηdi	ηdi	PROPN
ejpam-2759	319	30	∫	∫	PROPN
ejpam-2759	319	31	qt	qt	PROPN
ejpam-2759	319	32	ψt	ψt	INTJ
ejpam-2759	319	33	”	"	PUNCT
ejpam-2759	319	34	k	k	PROPN
ejpam-2759	319	35	(	(	PUNCT
ejpam-2759	319	36	vi	vi	PROPN
ejpam-2759	319	37	,	,	PUNCT
ejpam-2759	319	38	n)∇vi	n)∇vi	PROPN
ejpam-2759	319	39	,	,	PUNCT
ejpam-2759	319	40	n	n	CCONJ
ejpam-2759	319	41	(	(	PUNCT
ejpam-2759	319	42	∑	∑	PROPN
ejpam-2759	319	43	j	j	PROPN
ejpam-2759	319	44	6	6	NUM
ejpam-2759	319	45	=	=	PROPN
ejpam-2759	319	46	i	i	PROPN
ejpam-2759	319	47	zj	zj	PROPN
ejpam-2759	319	48	,	,	PUNCT
ejpam-2759	319	49	n∇qj	n∇qj	X
ejpam-2759	319	50	,	,	PUNCT
ejpam-2759	319	51	n	n	CCONJ
ejpam-2759	319	52	)	)	PUNCT
ejpam-2759	319	53	(	(	PUNCT
ejpam-2759	319	54	25	25	NUM
ejpam-2759	319	55	)	)	PUNCT
ejpam-2759	319	56	we	we	PRON
ejpam-2759	319	57	keep	keep	VERB
ejpam-2759	319	58	k	k	PROPN
ejpam-2759	319	59	and	and	CCONJ
ejpam-2759	319	60	η	η	PROPN
ejpam-2759	319	61	fixed	fix	VERB
ejpam-2759	319	62	.	.	PUNCT
ejpam-2759	320	1	we	we	PRON
ejpam-2759	320	2	know	know	VERB
ejpam-2759	320	3	that	that	SCONJ
ejpam-2759	320	4	ui	ui	PROPN
ejpam-2759	320	5	,	,	PUNCT
ejpam-2759	320	6	n	n	PRON
ejpam-2759	320	7	converges	converge	VERB
ejpam-2759	320	8	in	in	ADP
ejpam-2759	320	9	l1(qt	l1(qt	PROPN
ejpam-2759	320	10	)	)	PUNCT
ejpam-2759	320	11	and	and	CCONJ
ejpam-2759	320	12	a.e	a.e	PROPN
ejpam-2759	320	13	to	to	ADP
ejpam-2759	320	14	ui	ui	PROPN
ejpam-2759	320	15	,	,	PUNCT
ejpam-2759	320	16	k	k	PROPN
ejpam-2759	320	17	where	where	SCONJ
ejpam-2759	320	18	ui	ui	PROPN
ejpam-2759	320	19	,	,	PUNCT
ejpam-2759	320	20	k	k	PROPN
ejpam-2759	320	21	=	=	SYM
ejpam-2759	320	22	tk(vi	tk(vi	PROPN
ejpam-2759	320	23	)	)	PUNCT
ejpam-2759	320	24	,	,	PUNCT
ejpam-2759	320	25	vi	vi	NOUN
ejpam-2759	320	26	=	=	SYM
ejpam-2759	320	27	qizi	qizi	NOUN
ejpam-2759	320	28	+	+	CCONJ
ejpam-2759	320	29	η	η	PROPN
ejpam-2759	320	30	∑	∑	PROPN
ejpam-2759	320	31	j	j	PROPN
ejpam-2759	320	32	6	6	NUM
ejpam-2759	320	33	=	=	NOUN
ejpam-2759	320	34	i	i	PRON
ejpam-2759	320	35	qjzj	qjzj	VERB
ejpam-2759	320	36	n.	n.	PROPN
ejpam-2759	320	37	alaa	alaa	PROPN
ejpam-2759	320	38	,	,	PUNCT
ejpam-2759	320	39	f.	f.	PROPN
ejpam-2759	320	40	aqel	aqel	PROPN
ejpam-2759	320	41	/	/	SYM
ejpam-2759	320	42	eur	eur	PROPN
ejpam-2759	320	43	.	.	PUNCT
ejpam-2759	321	1	j.	j.	PROPN
ejpam-2759	321	2	pure	pure	PROPN
ejpam-2759	321	3	appl	appl	PROPN
ejpam-2759	321	4	.	.	PROPN
ejpam-2759	321	5	math	math	PROPN
ejpam-2759	321	6	,	,	PUNCT
ejpam-2759	321	7	10	10	NUM
ejpam-2759	321	8	(	(	PUNCT
ejpam-2759	321	9	2	2	NUM
ejpam-2759	321	10	)	)	PUNCT
ejpam-2759	321	11	(	(	PUNCT
ejpam-2759	321	12	2017	2017	NUM
ejpam-2759	321	13	)	)	PUNCT
ejpam-2759	321	14	,	,	PUNCT
ejpam-2759	321	15	272	272	NUM
ejpam-2759	321	16	-	-	SYM
ejpam-2759	321	17	294	294	NUM
ejpam-2759	321	18	288	288	NUM
ejpam-2759	321	19	and	and	CCONJ
ejpam-2759	321	20	then	then	ADV
ejpam-2759	321	21	it	it	PRON
ejpam-2759	321	22	is	be	AUX
ejpam-2759	321	23	clear	clear	ADJ
ejpam-2759	321	24	that	that	SCONJ
ejpam-2759	321	25	the	the	DET
ejpam-2759	321	26	reaction	reaction	NOUN
ejpam-2759	321	27	terms	term	NOUN
ejpam-2759	321	28	converge	converge	VERB
ejpam-2759	321	29	only	only	ADV
ejpam-2759	321	30	a.e	a.e	PROPN
ejpam-2759	321	31	.	.	PUNCT
ejpam-2759	322	1	the	the	DET
ejpam-2759	322	2	point	point	NOUN
ejpam-2759	322	3	is	be	AUX
ejpam-2759	322	4	that	that	SCONJ
ejpam-2759	322	5	,	,	PUNCT
ejpam-2759	322	6	since	since	SCONJ
ejpam-2759	322	7	t	t	X
ejpam-2759	322	8	′	′	NUM
ejpam-2759	322	9	k(r	k(r	PROPN
ejpam-2759	322	10	)	)	PUNCT
ejpam-2759	322	11	=	=	SYM
ejpam-2759	322	12	0	0	NUM
ejpam-2759	323	1	for	for	ADP
ejpam-2759	323	2	r	r	NOUN
ejpam-2759	323	3	>	>	X
ejpam-2759	323	4	k	k	PROPN
ejpam-2759	323	5	then	then	ADV
ejpam-2759	323	6	,	,	PUNCT
ejpam-2759	323	7	yi	yi	PROPN
ejpam-2759	323	8	,	,	PUNCT
ejpam-2759	323	9	n	n	PRON
ejpam-2759	323	10	is	be	AUX
ejpam-2759	323	11	equal	equal	ADJ
ejpam-2759	323	12	to	to	ADP
ejpam-2759	323	13	zero	zero	NUM
ejpam-2759	323	14	on	on	ADP
ejpam-2759	323	15	the	the	DET
ejpam-2759	323	16	set	set	NOUN
ejpam-2759	323	17	[	[	X
ejpam-2759	323	18	vi	vi	NOUN
ejpam-2759	323	19	,	,	PUNCT
ejpam-2759	323	20	n	n	NOUN
ejpam-2759	323	21	>	>	X
ejpam-2759	323	22	k	k	X
ejpam-2759	323	23	]	]	X
ejpam-2759	323	24	.	.	PUNCT
ejpam-2759	324	1	but	but	CCONJ
ejpam-2759	324	2	on	on	ADP
ejpam-2759	324	3	the	the	DET
ejpam-2759	324	4	complement	complement	NOUN
ejpam-2759	324	5	of	of	ADP
ejpam-2759	324	6	this	this	DET
ejpam-2759	324	7	set	set	NOUN
ejpam-2759	324	8	,	,	PUNCT
ejpam-2759	324	9	we	we	PRON
ejpam-2759	324	10	have	have	VERB
ejpam-2759	324	11	qi	qi	PROPN
ejpam-2759	324	12	,	,	PUNCT
ejpam-2759	324	13	nzi	nzi	PROPN
ejpam-2759	324	14	,	,	PUNCT
ejpam-2759	324	15	n	n	PRON
ejpam-2759	324	16	≤	≤	NOUN
ejpam-2759	324	17	k	k	NOUN
ejpam-2759	324	18	,	,	PUNCT
ejpam-2759	324	19	∀j	∀j	PROPN
ejpam-2759	324	20	6=	6=	PROPN
ejpam-2759	324	21	i	i	PROPN
ejpam-2759	324	22	,	,	PUNCT
ejpam-2759	324	23	qj	qj	PROPN
ejpam-2759	324	24	,	,	PUNCT
ejpam-2759	324	25	nzj	nzj	PROPN
ejpam-2759	324	26	,	,	PUNCT
ejpam-2759	324	27	n	n	PRON
ejpam-2759	324	28	≤	≤	NOUN
ejpam-2759	324	29	k	k	PROPN
ejpam-2759	324	30	η	η	PROPN
ejpam-2759	324	31	by	by	ADP
ejpam-2759	324	32	using	use	VERB
ejpam-2759	324	33	the	the	DET
ejpam-2759	324	34	dominated	dominate	VERB
ejpam-2759	324	35	convergence	convergence	NOUN
ejpam-2759	324	36	theorem	theorem	VERB
ejpam-2759	324	37	,	,	PUNCT
ejpam-2759	324	38	we	we	PRON
ejpam-2759	324	39	can	can	AUX
ejpam-2759	324	40	find	find	VERB
ejpam-2759	324	41	that	that	SCONJ
ejpam-2759	324	42	as	as	ADP
ejpam-2759	324	43	n→	n→	ADJ
ejpam-2759	324	44	+	+	PROPN
ejpam-2759	324	45	∞	∞	PROPN
ejpam-2759	324	46	yi	yi	NOUN
ejpam-2759	324	47	,	,	PUNCT
ejpam-2759	324	48	n	n	PROPN
ejpam-2759	324	49	→	→	SYM
ejpam-2759	324	50	yi	yi	PROPN
ejpam-2759	324	51	,	,	PUNCT
ejpam-2759	324	52	k	k	PROPN
ejpam-2759	324	53	=	=	SYM
ejpam-2759	324	54	t	t	PROPN
ejpam-2759	324	55	′	′	NUM
ejpam-2759	324	56	k(vi)[si(z	k(vi)[si(z	PROPN
ejpam-2759	324	57	,	,	PUNCT
ejpam-2759	324	58	φ	φ	NUM
ejpam-2759	324	59	)	)	PUNCT
ejpam-2759	324	60	+	+	CCONJ
ejpam-2759	324	61	η	η	PROPN
ejpam-2759	324	62	∑	∑	PROPN
ejpam-2759	324	63	j	j	PROPN
ejpam-2759	324	64	6	6	NUM
ejpam-2759	324	65	=	=	NOUN
ejpam-2759	324	66	i	i	PRON
ejpam-2759	324	67	sj(z	sj(z	VERB
ejpam-2759	324	68	,	,	PUNCT
ejpam-2759	324	69	φ	φ	NOUN
ejpam-2759	324	70	)	)	PUNCT
ejpam-2759	324	71	]	]	PUNCT
ejpam-2759	324	72	in	in	ADP
ejpam-2759	324	73	l1(qt	l1(qt	PROPN
ejpam-2759	324	74	)	)	PUNCT
ejpam-2759	324	75	.	.	PUNCT
ejpam-2759	325	1	in	in	ADP
ejpam-2759	325	2	addition	addition	NOUN
ejpam-2759	325	3	we	we	PRON
ejpam-2759	325	4	have	have	VERB
ejpam-2759	325	5	∇ui	∇ui	PROPN
ejpam-2759	325	6	,	,	PUNCT
ejpam-2759	325	7	n	n	PRON
ejpam-2759	325	8	converges	converge	VERB
ejpam-2759	325	9	in	in	ADP
ejpam-2759	325	10	l1(qt	l1(qt	PROPN
ejpam-2759	325	11	)	)	PUNCT
ejpam-2759	325	12	.	.	PUNCT
ejpam-2759	326	1	so	so	ADV
ejpam-2759	326	2	from	from	ADP
ejpam-2759	326	3	here	here	ADV
ejpam-2759	326	4	on	on	ADV
ejpam-2759	326	5	,	,	PUNCT
ejpam-2759	326	6	everything	everything	PRON
ejpam-2759	326	7	looks	look	VERB
ejpam-2759	326	8	good	good	ADJ
ejpam-2759	326	9	but	but	CCONJ
ejpam-2759	326	10	this	this	PRON
ejpam-2759	326	11	is	be	AUX
ejpam-2759	326	12	not	not	PART
ejpam-2759	326	13	sufficient	sufficient	ADJ
ejpam-2759	326	14	,	,	PUNCT
ejpam-2759	326	15	in	in	ADP
ejpam-2759	326	16	other	other	ADJ
ejpam-2759	326	17	words	word	NOUN
ejpam-2759	326	18	we	we	PRON
ejpam-2759	326	19	are	be	AUX
ejpam-2759	326	20	not	not	PART
ejpam-2759	326	21	able	able	ADJ
ejpam-2759	326	22	yet	yet	ADV
ejpam-2759	326	23	to	to	PART
ejpam-2759	326	24	pass	pass	VERB
ejpam-2759	326	25	to	to	ADP
ejpam-2759	326	26	the	the	DET
ejpam-2759	326	27	limit	limit	NOUN
ejpam-2759	326	28	in	in	ADP
ejpam-2759	326	29	(	(	PUNCT
ejpam-2759	326	30	25	25	NUM
ejpam-2759	326	31	)	)	PUNCT
ejpam-2759	326	32	and	and	CCONJ
ejpam-2759	326	33	still	still	ADV
ejpam-2759	326	34	to	to	PART
ejpam-2759	326	35	control	control	VERB
ejpam-2759	326	36	the	the	DET
ejpam-2759	326	37	terms	term	NOUN
ejpam-2759	326	38	−di	−di	PROPN
ejpam-2759	326	39	∫	∫	PROPN
ejpam-2759	326	40	qt	qt	PROPN
ejpam-2759	326	41	ψt	ψt	INTJ
ejpam-2759	326	42	”	"	PUNCT
ejpam-2759	326	43	k	k	PROPN
ejpam-2759	326	44	(	(	PUNCT
ejpam-2759	326	45	vi	vi	PROPN
ejpam-2759	326	46	,	,	PUNCT
ejpam-2759	326	47	n)∇vi	n)∇vi	PROPN
ejpam-2759	326	48	,	,	PUNCT
ejpam-2759	326	49	n	n	CCONJ
ejpam-2759	326	50	(	(	PUNCT
ejpam-2759	326	51	∑	∑	PROPN
ejpam-2759	326	52	j	j	PROPN
ejpam-2759	326	53	6	6	NUM
ejpam-2759	326	54	=	=	PROPN
ejpam-2759	326	55	i	i	PROPN
ejpam-2759	326	56	zj	zj	PROPN
ejpam-2759	326	57	,	,	PUNCT
ejpam-2759	326	58	n∇qj	n∇qj	X
ejpam-2759	326	59	,	,	PUNCT
ejpam-2759	326	60	n	n	CCONJ
ejpam-2759	326	61	)	)	PUNCT
ejpam-2759	326	62	and	and	CCONJ
ejpam-2759	326	63	∫	∫	PROPN
ejpam-2759	326	64	qt	qt	PROPN
ejpam-2759	326	65	ψxi	ψxi	PROPN
ejpam-2759	326	66	,	,	PUNCT
ejpam-2759	326	67	n	n	CCONJ
ejpam-2759	326	68	,	,	PUNCT
ejpam-2759	326	69	so	so	CCONJ
ejpam-2759	326	70	this	this	PRON
ejpam-2759	326	71	is	be	AUX
ejpam-2759	326	72	the	the	DET
ejpam-2759	326	73	main	main	ADJ
ejpam-2759	326	74	point	point	NOUN
ejpam-2759	326	75	of	of	ADP
ejpam-2759	326	76	the	the	DET
ejpam-2759	326	77	following	follow	VERB
ejpam-2759	326	78	lemma	lemma	PROPN
ejpam-2759	326	79	lemma	lemma	PROPN
ejpam-2759	326	80	5	5	NUM
ejpam-2759	326	81	.	.	PUNCT
ejpam-2759	327	1	there	there	PRON
ejpam-2759	327	2	exists	exist	VERB
ejpam-2759	327	3	c	c	NOUN
ejpam-2759	327	4	depending	depend	VERB
ejpam-2759	327	5	only	only	ADV
ejpam-2759	327	6	on	on	ADP
ejpam-2759	327	7	k	k	PROPN
ejpam-2759	327	8	,	,	PUNCT
ejpam-2759	327	9	ψ	ψ	X
ejpam-2759	327	10	and	and	CCONJ
ejpam-2759	327	11	the	the	DET
ejpam-2759	327	12	initial	initial	ADJ
ejpam-2759	327	13	data	datum	NOUN
ejpam-2759	327	14	such	such	ADJ
ejpam-2759	327	15	that	that	SCONJ
ejpam-2759	327	16	|	|	ADV
ejpam-2759	327	17	∫	∫	PROPN
ejpam-2759	327	18	qt	qt	PROPN
ejpam-2759	327	19	ψxi	ψxi	PROPN
ejpam-2759	327	20	,	,	PUNCT
ejpam-2759	327	21	n|	n|	NOUN
ejpam-2759	327	22	≤	≤	NOUN
ejpam-2759	327	23	cη	cη	ADP
ejpam-2759	327	24	−1	−1	NOUN
ejpam-2759	327	25	2	2	NUM
ejpam-2759	327	26	where	where	SCONJ
ejpam-2759	327	27	η	η	X
ejpam-2759	327	28	<	<	X
ejpam-2759	327	29	1	1	NUM
ejpam-2759	327	30	.	.	PUNCT
ejpam-2759	328	1	proof	proof	NOUN
ejpam-2759	328	2	.	.	PUNCT
ejpam-2759	329	1	we	we	PRON
ejpam-2759	329	2	have	have	VERB
ejpam-2759	329	3	xi	xi	PROPN
ejpam-2759	329	4	,	,	PUNCT
ejpam-2759	329	5	n	n	PROPN
ejpam-2759	329	6	=	=	SYM
ejpam-2759	329	7	t	t	PROPN
ejpam-2759	329	8	′	′	NUM
ejpam-2759	329	9	k(vi	k(vi	PROPN
ejpam-2759	329	10	,	,	PUNCT
ejpam-2759	329	11	n	n	CCONJ
ejpam-2759	329	12	)	)	PUNCT
ejpam-2759	329	13	∑	∑	ADP
ejpam-2759	329	14	j	j	PROPN
ejpam-2759	329	15	6	6	NUM
ejpam-2759	329	16	=	=	NOUN
ejpam-2759	329	17	i	i	PROPN
ejpam-2759	329	18	(	(	PUNCT
ejpam-2759	329	19	dj	dj	X
ejpam-2759	329	20	−di)div(qj	−di)div(qj	PROPN
ejpam-2759	329	21	,	,	PUNCT
ejpam-2759	329	22	n∇zj	n∇zj	PROPN
ejpam-2759	329	23	,	,	PUNCT
ejpam-2759	329	24	n	n	CCONJ
ejpam-2759	329	25	)	)	PUNCT
ejpam-2759	329	26	and	and	CCONJ
ejpam-2759	329	27	for	for	ADP
ejpam-2759	329	28	ψ	ψ	X
ejpam-2759	329	29	∈	∈	PROPN
ejpam-2759	329	30	d	d	X
ejpam-2759	329	31	,	,	PUNCT
ejpam-2759	329	32	we	we	PRON
ejpam-2759	329	33	integrate	integrate	VERB
ejpam-2759	329	34	by	by	ADP
ejpam-2759	329	35	parts	part	NOUN
ejpam-2759	329	36	on	on	ADP
ejpam-2759	329	37	qt	qt	NOUN
ejpam-2759	329	38	,	,	PUNCT
ejpam-2759	329	39	then	then	ADV
ejpam-2759	329	40	we	we	PRON
ejpam-2759	329	41	use	use	VERB
ejpam-2759	329	42	the	the	DET
ejpam-2759	329	43	boundary	boundary	ADJ
ejpam-2759	329	44	conditions	condition	NOUN
ejpam-2759	329	45	to	to	PART
ejpam-2759	329	46	obtain∫	obtain∫	VERB
ejpam-2759	329	47	qt	qt	ADP
ejpam-2759	329	48	ψxi	ψxi	PROPN
ejpam-2759	329	49	,	,	PUNCT
ejpam-2759	329	50	n	n	PROPN
ejpam-2759	329	51	=	=	SYM
ejpam-2759	329	52	∫	∫	PROPN
ejpam-2759	329	53	qt	qt	INTJ
ejpam-2759	329	54	ψt	ψt	VERB
ejpam-2759	329	55	′	′	NUM
ejpam-2759	329	56	k(vi	k(vi	PROPN
ejpam-2759	329	57	,	,	PUNCT
ejpam-2759	329	58	n	n	CCONJ
ejpam-2759	329	59	)	)	PUNCT
ejpam-2759	329	60	[	[	PUNCT
ejpam-2759	329	61	∑	∑	PUNCT
ejpam-2759	329	62	j	j	PROPN
ejpam-2759	329	63	6	6	NUM
ejpam-2759	329	64	=	=	NOUN
ejpam-2759	329	65	i	i	PROPN
ejpam-2759	329	66	(	(	PUNCT
ejpam-2759	329	67	dj	dj	NOUN
ejpam-2759	329	68	−	−	PROPN
ejpam-2759	329	69	di)div(qj	di)div(qj	NOUN
ejpam-2759	329	70	,	,	PUNCT
ejpam-2759	329	71	n∇zj	n∇zj	PROPN
ejpam-2759	329	72	,	,	PUNCT
ejpam-2759	329	73	n	n	CCONJ
ejpam-2759	329	74	)	)	PUNCT
ejpam-2759	329	75	]	]	PUNCT
ejpam-2759	330	1	=	=	PUNCT
ejpam-2759	331	1	−	−	PROPN
ejpam-2759	331	2	∫	∫	PROPN
ejpam-2759	331	3	qt	qt	PROPN
ejpam-2759	331	4	∇(ψt	∇(ψt	NOUN
ejpam-2759	331	5	′	′	NUM
ejpam-2759	331	6	k(vi	k(vi	PROPN
ejpam-2759	331	7	,	,	PUNCT
ejpam-2759	331	8	n	n	CCONJ
ejpam-2759	331	9	)	)	PUNCT
ejpam-2759	331	10	)	)	PUNCT
ejpam-2759	332	1	[	[	PUNCT
ejpam-2759	332	2	∑	∑	PUNCT
ejpam-2759	332	3	j	j	PROPN
ejpam-2759	332	4	6	6	NUM
ejpam-2759	332	5	=	=	NOUN
ejpam-2759	332	6	i	i	PROPN
ejpam-2759	332	7	(	(	PUNCT
ejpam-2759	332	8	dj	dj	NOUN
ejpam-2759	332	9	−	−	PROPN
ejpam-2759	332	10	di)qj	di)qj	PROPN
ejpam-2759	332	11	,	,	PUNCT
ejpam-2759	332	12	n∇zj	n∇zj	PROPN
ejpam-2759	332	13	,	,	PUNCT
ejpam-2759	332	14	n	n	CCONJ
ejpam-2759	332	15	]	]	PUNCT
ejpam-2759	332	16	therefore	therefore	ADV
ejpam-2759	332	17	−	−	PROPN
ejpam-2759	332	18	∫	∫	PROPN
ejpam-2759	332	19	qt	qt	PROPN
ejpam-2759	332	20	ψxi	ψxi	PROPN
ejpam-2759	332	21	,	,	PUNCT
ejpam-2759	332	22	n	n	PROPN
ejpam-2759	332	23	=	=	SYM
ejpam-2759	332	24	∫	∫	PROPN
ejpam-2759	332	25	qt	qt	PROPN
ejpam-2759	333	1	[	[	X
ejpam-2759	333	2	∇ψt	∇ψt	NOUN
ejpam-2759	333	3	′k(vi	′k(vi	NOUN
ejpam-2759	333	4	,	,	PUNCT
ejpam-2759	333	5	n	n	CCONJ
ejpam-2759	333	6	)	)	PUNCT
ejpam-2759	333	7	+	+	CCONJ
ejpam-2759	333	8	ψt	ψt	VERB
ejpam-2759	333	9	”	"	PUNCT
ejpam-2759	333	10	k	k	PROPN
ejpam-2759	333	11	(	(	PUNCT
ejpam-2759	333	12	vi	vi	PROPN
ejpam-2759	333	13	,	,	PUNCT
ejpam-2759	333	14	n)∇vi	n)∇vi	PROPN
ejpam-2759	333	15	,	,	PUNCT
ejpam-2759	333	16	n	n	CCONJ
ejpam-2759	333	17	]	]	X
ejpam-2759	333	18	[	[	PUNCT
ejpam-2759	333	19	∑	∑	PUNCT
ejpam-2759	333	20	j	j	PROPN
ejpam-2759	333	21	6	6	NUM
ejpam-2759	334	1	=	=	NOUN
ejpam-2759	334	2	i	i	PROPN
ejpam-2759	334	3	(	(	PUNCT
ejpam-2759	334	4	dj	dj	NOUN
ejpam-2759	334	5	−	−	PROPN
ejpam-2759	334	6	di)qj	di)qj	PROPN
ejpam-2759	334	7	,	,	PUNCT
ejpam-2759	334	8	n∇zj	n∇zj	PROPN
ejpam-2759	334	9	,	,	PUNCT
ejpam-2759	334	10	n	n	CCONJ
ejpam-2759	334	11	]	]	PUNCT
ejpam-2759	334	12	in	in	ADP
ejpam-2759	334	13	the	the	DET
ejpam-2759	334	14	following	following	NOUN
ejpam-2759	334	15	,	,	PUNCT
ejpam-2759	334	16	we	we	PRON
ejpam-2759	334	17	denote	denote	VERB
ejpam-2759	334	18	by	by	ADP
ejpam-2759	334	19	c	c	PROPN
ejpam-2759	334	20	>	>	X
ejpam-2759	334	21	0	0	PUNCT
ejpam-2759	335	1	any	any	DET
ejpam-2759	335	2	constant	constant	ADJ
ejpam-2759	335	3	depending	depend	VERB
ejpam-2759	335	4	only	only	ADV
ejpam-2759	335	5	on	on	ADP
ejpam-2759	335	6	the	the	DET
ejpam-2759	335	7	initial	initial	ADJ
ejpam-2759	335	8	data	datum	NOUN
ejpam-2759	335	9	and	and	CCONJ
ejpam-2759	335	10	k	k	NOUN
ejpam-2759	335	11	,	,	PUNCT
ejpam-2759	335	12	ψ	ψ	X
ejpam-2759	335	13	but	but	CCONJ
ejpam-2759	335	14	not	not	PART
ejpam-2759	335	15	n	n	CCONJ
ejpam-2759	335	16	,	,	PUNCT
ejpam-2759	335	17	η	η	PROPN
ejpam-2759	335	18	,	,	PUNCT
ejpam-2759	335	19	then	then	ADV
ejpam-2759	335	20	,	,	PUNCT
ejpam-2759	335	21	we	we	PRON
ejpam-2759	335	22	use	use	VERB
ejpam-2759	335	23	holder	holder	NOUN
ejpam-2759	335	24	’s	’s	PART
ejpam-2759	335	25	inequality	inequality	NOUN
ejpam-2759	335	26	,	,	PUNCT
ejpam-2759	335	27	this	this	DET
ejpam-2759	335	28	yields	yield	NOUN
ejpam-2759	335	29	|	|	ADV
ejpam-2759	335	30	∫	∫	PROPN
ejpam-2759	335	31	qt	qt	PROPN
ejpam-2759	335	32	∇ψt	∇ψt	PROPN
ejpam-2759	335	33	′k(vi	′k(vi	NOUN
ejpam-2759	335	34	,	,	PUNCT
ejpam-2759	335	35	n)(qj	n)(qj	NUM
ejpam-2759	335	36	,	,	PUNCT
ejpam-2759	335	37	n∇zj	n∇zj	PROPN
ejpam-2759	335	38	,	,	PUNCT
ejpam-2759	335	39	n)|	n)|	ADJ
ejpam-2759	335	40	≤	≤	NOUN
ejpam-2759	335	41	c	c	X
ejpam-2759	335	42	{	{	PUNCT
ejpam-2759	335	43	∫	∫	PROPN
ejpam-2759	336	1	[	[	X
ejpam-2759	336	2	vi	vi	X
ejpam-2759	336	3	,	,	PUNCT
ejpam-2759	336	4	n≤k	n≤k	ADJ
ejpam-2759	336	5	]	]	X
ejpam-2759	336	6	|qj	|qj	NUM
ejpam-2759	336	7	,	,	PUNCT
ejpam-2759	336	8	n∇zj	n∇zj	PROPN
ejpam-2759	336	9	,	,	PUNCT
ejpam-2759	336	10	n|2	n|2	NOUN
ejpam-2759	336	11	}	}	SYM
ejpam-2759	336	12	1	1	NUM
ejpam-2759	336	13	2	2	NUM
ejpam-2759	336	14	||∇ψ||l2(qt	||∇ψ||l2(qt	NOUN
ejpam-2759	336	15	)	)	PUNCT
ejpam-2759	336	16	and	and	CCONJ
ejpam-2759	336	17	we	we	PRON
ejpam-2759	336	18	have	have	AUX
ejpam-2759	336	19	|	|	ADV
ejpam-2759	336	20	∫	∫	PROPN
ejpam-2759	336	21	qt	qt	PROPN
ejpam-2759	336	22	ψt	ψt	INTJ
ejpam-2759	336	23	”	"	PUNCT
ejpam-2759	336	24	k	k	PROPN
ejpam-2759	336	25	(	(	PUNCT
ejpam-2759	336	26	vi	vi	PROPN
ejpam-2759	336	27	,	,	PUNCT
ejpam-2759	336	28	n)∇vi	n)∇vi	ADJ
ejpam-2759	336	29	,	,	PUNCT
ejpam-2759	336	30	n(qj	n(qj	NOUN
ejpam-2759	336	31	,	,	PUNCT
ejpam-2759	336	32	n∇zj	n∇zj	PROPN
ejpam-2759	336	33	,	,	PUNCT
ejpam-2759	336	34	n)|	n)|	ADJ
ejpam-2759	336	35	≤	≤	NUM
ejpam-2759	336	36	c||ψ||l∞(qt	c||ψ||l∞(qt	NOUN
ejpam-2759	336	37	)	)	PUNCT
ejpam-2759	336	38	{	{	PUNCT
ejpam-2759	337	1	∫	∫	PROPN
ejpam-2759	338	1	[	[	X
ejpam-2759	338	2	vi	vi	X
ejpam-2759	338	3	,	,	PUNCT
ejpam-2759	338	4	n≤k	n≤k	ADJ
ejpam-2759	338	5	]	]	X
ejpam-2759	338	6	|qj	|qj	NUM
ejpam-2759	338	7	,	,	PUNCT
ejpam-2759	338	8	n∇zj	n∇zj	PROPN
ejpam-2759	338	9	,	,	PUNCT
ejpam-2759	338	10	n|2	n|2	NOUN
ejpam-2759	338	11	}	}	SYM
ejpam-2759	338	12	1	1	NUM
ejpam-2759	338	13	2	2	NUM
ejpam-2759	338	14	{	{	PUNCT
ejpam-2759	338	15	∫	∫	PROPN
ejpam-2759	339	1	[	[	X
ejpam-2759	339	2	vi	vi	X
ejpam-2759	339	3	,	,	PUNCT
ejpam-2759	339	4	n≤k	n≤k	ADJ
ejpam-2759	339	5	]	]	X
ejpam-2759	339	6	|∇vi	|∇vi	PROPN
ejpam-2759	339	7	,	,	PUNCT
ejpam-2759	339	8	n|2	n|2	NOUN
ejpam-2759	339	9	}	}	SYM
ejpam-2759	339	10	1	1	NUM
ejpam-2759	339	11	2	2	NUM
ejpam-2759	339	12	n.	n.	NOUN
ejpam-2759	339	13	alaa	alaa	PROPN
ejpam-2759	339	14	,	,	PUNCT
ejpam-2759	339	15	f.	f.	PROPN
ejpam-2759	339	16	aqel	aqel	PROPN
ejpam-2759	339	17	/	/	SYM
ejpam-2759	339	18	eur	eur	PROPN
ejpam-2759	339	19	.	.	PUNCT
ejpam-2759	340	1	j.	j.	PROPN
ejpam-2759	340	2	pure	pure	PROPN
ejpam-2759	340	3	appl	appl	PROPN
ejpam-2759	340	4	.	.	PROPN
ejpam-2759	340	5	math	math	PROPN
ejpam-2759	340	6	,	,	PUNCT
ejpam-2759	340	7	10	10	NUM
ejpam-2759	340	8	(	(	PUNCT
ejpam-2759	340	9	2	2	NUM
ejpam-2759	340	10	)	)	PUNCT
ejpam-2759	340	11	(	(	PUNCT
ejpam-2759	340	12	2017	2017	NUM
ejpam-2759	340	13	)	)	PUNCT
ejpam-2759	340	14	,	,	PUNCT
ejpam-2759	340	15	272	272	NUM
ejpam-2759	340	16	-	-	SYM
ejpam-2759	340	17	294	294	NUM
ejpam-2759	340	18	289	289	NUM
ejpam-2759	340	19	and	and	CCONJ
ejpam-2759	340	20	here	here	ADV
ejpam-2759	340	21	we	we	PRON
ejpam-2759	340	22	bound	bind	VERB
ejpam-2759	340	23	the	the	DET
ejpam-2759	340	24	last	last	ADJ
ejpam-2759	340	25	term	term	NOUN
ejpam-2759	340	26	of	of	ADP
ejpam-2759	340	27	those	those	DET
ejpam-2759	340	28	inequalities	inequality	NOUN
ejpam-2759	340	29	as	as	SCONJ
ejpam-2759	340	30	follows	follow	VERB
ejpam-2759	340	31	,	,	PUNCT
ejpam-2759	340	32	first	first	ADV
ejpam-2759	340	33	,	,	PUNCT
ejpam-2759	340	34	we	we	PRON
ejpam-2759	340	35	have	have	VERB
ejpam-2759	340	36	∇vi	∇vi	NOUN
ejpam-2759	340	37	,	,	PUNCT
ejpam-2759	340	38	n	n	NOUN
ejpam-2759	340	39	=	=	SYM
ejpam-2759	340	40	qi	qi	PROPN
ejpam-2759	340	41	,	,	PUNCT
ejpam-2759	340	42	n∇zi	n∇zi	NUM
ejpam-2759	340	43	,	,	PUNCT
ejpam-2759	340	44	n	n	PROPN
ejpam-2759	340	45	+	+	X
ejpam-2759	340	46	η	η	PROPN
ejpam-2759	340	47	[	[	PUNCT
ejpam-2759	340	48	∑	∑	PROPN
ejpam-2759	340	49	j	j	PROPN
ejpam-2759	340	50	6	6	NUM
ejpam-2759	340	51	=	=	PROPN
ejpam-2759	340	52	i	i	PROPN
ejpam-2759	340	53	qj	qj	PROPN
ejpam-2759	340	54	,	,	PUNCT
ejpam-2759	340	55	n∇zj	n∇zj	PROPN
ejpam-2759	340	56	,	,	PUNCT
ejpam-2759	340	57	n]−	n]−	ADV
ejpam-2759	340	58	[	[	PUNCT
ejpam-2759	340	59	mi	mi	PROPN
ejpam-2759	340	60	di	di	PROPN
ejpam-2759	340	61	qi	qi	PROPN
ejpam-2759	340	62	,	,	PUNCT
ejpam-2759	340	63	nzi	nzi	PROPN
ejpam-2759	340	64	,	,	PUNCT
ejpam-2759	340	65	n	n	PROPN
ejpam-2759	340	66	+	+	CCONJ
ejpam-2759	340	67	η	η	PROPN
ejpam-2759	340	68	[	[	PUNCT
ejpam-2759	340	69	∑	∑	PROPN
ejpam-2759	340	70	j	j	PROPN
ejpam-2759	340	71	6	6	NUM
ejpam-2759	341	1	=	=	NOUN
ejpam-2759	341	2	i	i	PRON
ejpam-2759	341	3	mj	mj	VERB
ejpam-2759	341	4	dj	dj	PROPN
ejpam-2759	341	5	qj	qj	PROPN
ejpam-2759	341	6	,	,	PUNCT
ejpam-2759	341	7	nzj	nzj	PROPN
ejpam-2759	341	8	,	,	PUNCT
ejpam-2759	341	9	n]]∇φn	n]]∇φn	NOUN
ejpam-2759	341	10	note	note	VERB
ejpam-2759	341	11	that	that	SCONJ
ejpam-2759	342	1	[	[	X
ejpam-2759	342	2	vi	vi	X
ejpam-2759	342	3	,	,	PUNCT
ejpam-2759	342	4	n	n	DET
ejpam-2759	342	5	≤	≤	NOUN
ejpam-2759	342	6	k	k	X
ejpam-2759	342	7	]	]	X
ejpam-2759	342	8	is	be	AUX
ejpam-2759	342	9	included	include	VERB
ejpam-2759	342	10	in	in	ADP
ejpam-2759	342	11	[	[	X
ejpam-2759	342	12	qi	qi	PROPN
ejpam-2759	342	13	,	,	PUNCT
ejpam-2759	342	14	nzi	nzi	PROPN
ejpam-2759	342	15	,	,	PUNCT
ejpam-2759	342	16	n	n	DET
ejpam-2759	342	17	≤	≤	NOUN
ejpam-2759	343	1	k	k	NOUN
ejpam-2759	343	2	]	]	X
ejpam-2759	343	3	,	,	PUNCT
ejpam-2759	343	4	[	[	X
ejpam-2759	343	5	qj	qj	PROPN
ejpam-2759	343	6	,	,	PUNCT
ejpam-2759	343	7	nzj	nzj	PROPN
ejpam-2759	343	8	,	,	PUNCT
ejpam-2759	343	9	n	n	PRON
ejpam-2759	343	10	≤	≤	NOUN
ejpam-2759	343	11	k	k	PROPN
ejpam-2759	343	12	η	η	PROPN
ejpam-2759	343	13	]	]	PUNCT
ejpam-2759	343	14	for	for	ADP
ejpam-2759	343	15	all	all	DET
ejpam-2759	343	16	j	j	PROPN
ejpam-2759	343	17	6=	6=	PROPN
ejpam-2759	343	18	i	i	PRON
ejpam-2759	343	19	.	.	PUNCT
ejpam-2759	344	1	from	from	ADP
ejpam-2759	344	2	lemma	lemma	PROPN
ejpam-2759	344	3	2	2	NUM
ejpam-2759	344	4	and	and	CCONJ
ejpam-2759	344	5	by	by	ADP
ejpam-2759	344	6	using	use	VERB
ejpam-2759	344	7	the	the	DET
ejpam-2759	344	8	result	result	NOUN
ejpam-2759	344	9	of	of	ADP
ejpam-2759	344	10	lemma	lemma	PROPN
ejpam-2759	344	11	4	4	NUM
ejpam-2759	344	12	,	,	PUNCT
ejpam-2759	344	13	we	we	PRON
ejpam-2759	344	14	have∫	have∫	VERB
ejpam-2759	344	15	[	[	X
ejpam-2759	344	16	vi	vi	NOUN
ejpam-2759	344	17	,	,	PUNCT
ejpam-2759	344	18	n≤k	n≤k	ADJ
ejpam-2759	344	19	]	]	X
ejpam-2759	344	20	|qi	|qi	NUM
ejpam-2759	344	21	,	,	PUNCT
ejpam-2759	344	22	n∇zi	n∇zi	NUM
ejpam-2759	344	23	,	,	PUNCT
ejpam-2759	344	24	n|2	n|2	PROPN
ejpam-2759	344	25	≤	≤	PROPN
ejpam-2759	344	26	c	c	NOUN
ejpam-2759	344	27	,	,	PUNCT
ejpam-2759	344	28	∀j	∀j	PROPN
ejpam-2759	344	29	6=	6=	NUM
ejpam-2759	345	1	i	i	PROPN
ejpam-2759	345	2	,	,	PUNCT
ejpam-2759	345	3	∫	∫	PROPN
ejpam-2759	346	1	[	[	X
ejpam-2759	346	2	vi	vi	X
ejpam-2759	346	3	,	,	PUNCT
ejpam-2759	346	4	n≤k	n≤k	ADJ
ejpam-2759	346	5	]	]	X
ejpam-2759	346	6	|qj	|qj	NUM
ejpam-2759	346	7	,	,	PUNCT
ejpam-2759	346	8	n∇zj	n∇zj	PROPN
ejpam-2759	346	9	,	,	PUNCT
ejpam-2759	346	10	n|2	n|2	PROPN
ejpam-2759	346	11	≤	≤	PROPN
ejpam-2759	346	12	c	c	PROPN
ejpam-2759	346	13	η	η	PROPN
ejpam-2759	346	14	this	this	PRON
ejpam-2759	346	15	implies	imply	VERB
ejpam-2759	346	16	|	|	ADV
ejpam-2759	346	17	∫	∫	PROPN
ejpam-2759	346	18	qt	qt	PROPN
ejpam-2759	346	19	ψt	ψt	INTJ
ejpam-2759	346	20	”	"	PUNCT
ejpam-2759	346	21	k	k	PROPN
ejpam-2759	346	22	(	(	PUNCT
ejpam-2759	346	23	vi	vi	PROPN
ejpam-2759	346	24	,	,	PUNCT
ejpam-2759	346	25	n)∇vi	n)∇vi	ADJ
ejpam-2759	346	26	,	,	PUNCT
ejpam-2759	346	27	n(qj	n(qj	NOUN
ejpam-2759	346	28	,	,	PUNCT
ejpam-2759	346	29	n∇zj	n∇zj	PROPN
ejpam-2759	346	30	,	,	PUNCT
ejpam-2759	346	31	n)|	n)|	PROPN
ejpam-2759	346	32	≤	≤	PROPN
ejpam-2759	346	33	cη−	cη−	NUM
ejpam-2759	346	34	1	1	NUM
ejpam-2759	346	35	2	2	NUM
ejpam-2759	346	36	.	.	PUNCT
ejpam-2759	347	1	hence	hence	ADV
ejpam-2759	347	2	|	|	ADV
ejpam-2759	347	3	∫	∫	PROPN
ejpam-2759	347	4	qt	qt	PROPN
ejpam-2759	347	5	∇ψt	∇ψt	PROPN
ejpam-2759	347	6	′k(vi	′k(vi	NOUN
ejpam-2759	347	7	,	,	PUNCT
ejpam-2759	347	8	n)(qj	n)(qj	NUM
ejpam-2759	347	9	,	,	PUNCT
ejpam-2759	347	10	n∇zj	n∇zj	PROPN
ejpam-2759	347	11	,	,	PUNCT
ejpam-2759	347	12	n)|	n)|	PROPN
ejpam-2759	347	13	≤	≤	PROPN
ejpam-2759	347	14	cη−	cη−	NUM
ejpam-2759	347	15	1	1	NUM
ejpam-2759	347	16	2	2	NUM
ejpam-2759	347	17	finally	finally	ADV
ejpam-2759	347	18	we	we	PRON
ejpam-2759	347	19	obtain	obtain	VERB
ejpam-2759	347	20	the	the	DET
ejpam-2759	347	21	desired	desire	VERB
ejpam-2759	347	22	result	result	NOUN
ejpam-2759	347	23	,	,	PUNCT
ejpam-2759	347	24	which	which	PRON
ejpam-2759	347	25	means	mean	VERB
ejpam-2759	347	26	that	that	SCONJ
ejpam-2759	347	27	|	|	ADV
ejpam-2759	347	28	∫	∫	X
ejpam-2759	347	29	qt	qt	PROPN
ejpam-2759	347	30	ψxi	ψxi	PROPN
ejpam-2759	347	31	,	,	PUNCT
ejpam-2759	347	32	n|	n|	NOUN
ejpam-2759	347	33	≤	≤	NOUN
ejpam-2759	347	34	cη	cη	ADP
ejpam-2759	347	35	−1	−1	NOUN
ejpam-2759	347	36	2	2	NUM
ejpam-2759	347	37	still	still	ADV
ejpam-2759	347	38	now	now	ADV
ejpam-2759	347	39	to	to	PART
ejpam-2759	347	40	bound	bound	VERB
ejpam-2759	347	41	the	the	DET
ejpam-2759	347	42	first	first	ADJ
ejpam-2759	347	43	term	term	NOUN
ejpam-2759	347	44	,	,	PUNCT
ejpam-2759	347	45	so	so	ADV
ejpam-2759	347	46	first	first	ADV
ejpam-2759	347	47	of	of	ADP
ejpam-2759	347	48	all	all	PRON
ejpam-2759	347	49	,	,	PUNCT
ejpam-2759	347	50	we	we	PRON
ejpam-2759	347	51	have	have	VERB
ejpam-2759	347	52	−di	−di	PROPN
ejpam-2759	347	53	∫	∫	PROPN
ejpam-2759	347	54	qt	qt	PROPN
ejpam-2759	347	55	ψt	ψt	INTJ
ejpam-2759	347	56	”	"	PUNCT
ejpam-2759	347	57	k	k	PROPN
ejpam-2759	347	58	(	(	PUNCT
ejpam-2759	347	59	vi	vi	PROPN
ejpam-2759	347	60	,	,	PUNCT
ejpam-2759	347	61	n)∇vi	n)∇vi	PROPN
ejpam-2759	347	62	,	,	PUNCT
ejpam-2759	347	63	n	n	CCONJ
ejpam-2759	347	64	(	(	PUNCT
ejpam-2759	347	65	∑	∑	PROPN
ejpam-2759	347	66	j	j	PROPN
ejpam-2759	347	67	6	6	NUM
ejpam-2759	347	68	=	=	PROPN
ejpam-2759	347	69	i	i	PROPN
ejpam-2759	347	70	zj	zj	PROPN
ejpam-2759	347	71	,	,	PUNCT
ejpam-2759	347	72	n∇qj	n∇qj	X
ejpam-2759	347	73	,	,	PUNCT
ejpam-2759	347	74	n	n	CCONJ
ejpam-2759	347	75	)	)	PUNCT
ejpam-2759	347	76	=	=	SYM
ejpam-2759	347	77	di	di	PROPN
ejpam-2759	347	78	∫	∫	PROPN
ejpam-2759	347	79	qt	qt	PROPN
ejpam-2759	347	80	ψt	ψt	INTJ
ejpam-2759	347	81	”	"	PUNCT
ejpam-2759	347	82	k	k	PROPN
ejpam-2759	347	83	(	(	PUNCT
ejpam-2759	347	84	vi	vi	PROPN
ejpam-2759	347	85	,	,	PUNCT
ejpam-2759	347	86	n)∇vi	n)∇vi	PROPN
ejpam-2759	347	87	,	,	PUNCT
ejpam-2759	347	88	n	n	CCONJ
ejpam-2759	347	89	(	(	PUNCT
ejpam-2759	347	90	∑	∑	PROPN
ejpam-2759	347	91	j	j	PROPN
ejpam-2759	347	92	6	6	NUM
ejpam-2759	348	1	=	=	NOUN
ejpam-2759	348	2	i	i	PRON
ejpam-2759	348	3	mj	mj	VERB
ejpam-2759	348	4	dj	dj	PROPN
ejpam-2759	348	5	zj	zj	PROPN
ejpam-2759	348	6	,	,	PUNCT
ejpam-2759	348	7	nqj	nqj	NOUN
ejpam-2759	348	8	,	,	PUNCT
ejpam-2759	348	9	n∇φn	n∇φn	NOUN
ejpam-2759	348	10	)	)	PUNCT
ejpam-2759	348	11	by	by	ADP
ejpam-2759	348	12	applying	apply	VERB
ejpam-2759	348	13	the	the	DET
ejpam-2759	348	14	same	same	ADJ
ejpam-2759	348	15	steps	step	NOUN
ejpam-2759	348	16	as	as	ADP
ejpam-2759	348	17	before	before	ADV
ejpam-2759	348	18	,	,	PUNCT
ejpam-2759	348	19	we	we	PRON
ejpam-2759	348	20	obtain	obtain	VERB
ejpam-2759	348	21	|	|	ADV
ejpam-2759	348	22	−	−	PROPN
ejpam-2759	348	23	di	di	NOUN
ejpam-2759	348	24	∫	∫	PROPN
ejpam-2759	348	25	qt	qt	PROPN
ejpam-2759	348	26	ψt	ψt	INTJ
ejpam-2759	348	27	”	"	PUNCT
ejpam-2759	348	28	k	k	PROPN
ejpam-2759	348	29	(	(	PUNCT
ejpam-2759	348	30	vi	vi	PROPN
ejpam-2759	348	31	,	,	PUNCT
ejpam-2759	348	32	n)∇vi	n)∇vi	PROPN
ejpam-2759	348	33	,	,	PUNCT
ejpam-2759	348	34	n	n	CCONJ
ejpam-2759	348	35	(	(	PUNCT
ejpam-2759	348	36	∑	∑	PROPN
ejpam-2759	348	37	j	j	PROPN
ejpam-2759	348	38	6	6	NUM
ejpam-2759	348	39	=	=	PROPN
ejpam-2759	348	40	i	i	PROPN
ejpam-2759	348	41	zj	zj	PROPN
ejpam-2759	348	42	,	,	PUNCT
ejpam-2759	348	43	n∇qj	n∇qj	NOUN
ejpam-2759	348	44	,	,	PUNCT
ejpam-2759	348	45	n)|	n)|	NOUN
ejpam-2759	348	46	≤	≤	NOUN
ejpam-2759	348	47	cη	cη	ADP
ejpam-2759	348	48	−1	−1	NOUN
ejpam-2759	348	49	2	2	NUM
ejpam-2759	348	50	.	.	PUNCT
ejpam-2759	349	1	now	now	ADV
ejpam-2759	349	2	,	,	PUNCT
ejpam-2759	349	3	thanks	thank	NOUN
ejpam-2759	349	4	to	to	ADP
ejpam-2759	349	5	the	the	DET
ejpam-2759	349	6	boundedness	boundedness	NOUN
ejpam-2759	349	7	of	of	ADP
ejpam-2759	349	8	φn	φn	NOUN
ejpam-2759	349	9	in	in	ADP
ejpam-2759	349	10	l∞(0	l∞(0	PRON
ejpam-2759	349	11	,	,	PUNCT
ejpam-2759	349	12	t	t	PROPN
ejpam-2759	349	13	,	,	PUNCT
ejpam-2759	349	14	w	w	PROPN
ejpam-2759	349	15	1,∞	1,∞	NUM
ejpam-2759	349	16	0	0	NUM
ejpam-2759	349	17	(	(	PUNCT
ejpam-2759	349	18	ω	ω	NOUN
ejpam-2759	349	19	)	)	PUNCT
ejpam-2759	349	20	)	)	PUNCT
ejpam-2759	349	21	,	,	PUNCT
ejpam-2759	349	22	we	we	PRON
ejpam-2759	349	23	conclude	conclude	VERB
ejpam-2759	349	24	the	the	DET
ejpam-2759	349	25	existence	existence	NOUN
ejpam-2759	349	26	of	of	ADP
ejpam-2759	349	27	φ	φ	PROPN
ejpam-2759	349	28	belongs	belong	VERB
ejpam-2759	349	29	to	to	ADP
ejpam-2759	349	30	l∞(0	l∞(0	PRON
ejpam-2759	349	31	,	,	PUNCT
ejpam-2759	349	32	t	t	PROPN
ejpam-2759	349	33	,	,	PUNCT
ejpam-2759	349	34	w	w	PROPN
ejpam-2759	349	35	1,∞	1,∞	NUM
ejpam-2759	349	36	0	0	NUM
ejpam-2759	349	37	(	(	PUNCT
ejpam-2759	349	38	ω	ω	NOUN
ejpam-2759	349	39	)	)	PUNCT
ejpam-2759	349	40	)	)	PUNCT
ejpam-2759	349	41	,	,	PUNCT
ejpam-2759	349	42	such	such	ADJ
ejpam-2759	349	43	that	that	SCONJ
ejpam-2759	349	44	∇φn	∇φn	PROPN
ejpam-2759	349	45	→	→	PROPN
ejpam-2759	349	46	∇φ	∇φ	PROPN
ejpam-2759	349	47	for	for	ADP
ejpam-2759	349	48	the	the	DET
ejpam-2759	349	49	topology	topology	NOUN
ejpam-2759	349	50	σ(l∞(qt	σ(l∞(qt	NOUN
ejpam-2759	349	51	)	)	PUNCT
ejpam-2759	349	52	,	,	PUNCT
ejpam-2759	349	53	l1(qt	l1(qt	PROPN
ejpam-2759	349	54	)	)	PUNCT
ejpam-2759	349	55	)	)	PUNCT
ejpam-2759	349	56	.	.	PUNCT
ejpam-2759	350	1	(	(	PUNCT
ejpam-2759	350	2	26	26	NUM
ejpam-2759	350	3	)	)	PUNCT
ejpam-2759	350	4	since	since	SCONJ
ejpam-2759	350	5	t	t	NOUN
ejpam-2759	350	6	′	′	NUM
ejpam-2759	351	1	k	k	PROPN
ejpam-2759	351	2	has	have	VERB
ejpam-2759	351	3	a	a	DET
ejpam-2759	351	4	compact	compact	ADJ
ejpam-2759	351	5	support	support	NOUN
ejpam-2759	351	6	and	and	CCONJ
ejpam-2759	351	7	||t	||t	VERB
ejpam-2759	351	8	′k||l∞(qt	′k||l∞(qt	PROPN
ejpam-2759	351	9	)	)	PUNCT
ejpam-2759	351	10	≤	≤	NUM
ejpam-2759	351	11	1	1	NUM
ejpam-2759	351	12	and	and	CCONJ
ejpam-2759	351	13	t	t	NOUN
ejpam-2759	351	14	′	′	NUM
ejpam-2759	351	15	k(vi	k(vi	PROPN
ejpam-2759	351	16	,	,	PUNCT
ejpam-2759	351	17	n	n	CCONJ
ejpam-2759	351	18	)	)	PUNCT
ejpam-2759	351	19	tends	tend	VERB
ejpam-2759	351	20	to	to	ADP
ejpam-2759	351	21	t	t	PROPN
ejpam-2759	351	22	′	′	NUM
ejpam-2759	351	23	k(vi	k(vi	PROPN
ejpam-2759	351	24	)	)	PUNCT
ejpam-2759	351	25	a.e	a.e	PROPN
ejpam-2759	351	26	in	in	ADP
ejpam-2759	351	27	qt	qt	NOUN
ejpam-2759	351	28	,	,	PUNCT
ejpam-2759	351	29	we	we	PRON
ejpam-2759	351	30	get	get	VERB
ejpam-2759	351	31	t	t	NOUN
ejpam-2759	351	32	′	′	NUM
ejpam-2759	351	33	k(vi	k(vi	PROPN
ejpam-2759	351	34	,	,	PUNCT
ejpam-2759	351	35	n)∇φn	n)∇φn	PUNCT
ejpam-2759	351	36	→	→	SYM
ejpam-2759	351	37	t	t	NOUN
ejpam-2759	351	38	′	′	NOUN
ejpam-2759	352	1	k(vi)∇φ	k(vi)∇φ	PROPN
ejpam-2759	352	2	for	for	ADP
ejpam-2759	352	3	the	the	DET
ejpam-2759	352	4	topology	topology	NOUN
ejpam-2759	352	5	σ(l∞(qt	σ(l∞(qt	NOUN
ejpam-2759	352	6	)	)	PUNCT
ejpam-2759	352	7	,	,	PUNCT
ejpam-2759	352	8	l1(qt	l1(qt	PROPN
ejpam-2759	352	9	)	)	PUNCT
ejpam-2759	352	10	)	)	PUNCT
ejpam-2759	352	11	.	.	PUNCT
ejpam-2759	353	1	next	next	ADV
ejpam-2759	353	2	,	,	PUNCT
ejpam-2759	353	3	let	let	VERB
ejpam-2759	353	4	us	we	PRON
ejpam-2759	353	5	show	show	VERB
ejpam-2759	353	6	that	that	SCONJ
ejpam-2759	353	7	t	t	NOUN
ejpam-2759	353	8	′	′	NUM
ejpam-2759	353	9	k(vi	k(vi	PROPN
ejpam-2759	353	10	,	,	PUNCT
ejpam-2759	353	11	n)(qi	n)(qi	NUM
ejpam-2759	353	12	,	,	PUNCT
ejpam-2759	353	13	nzi	nzi	PROPN
ejpam-2759	353	14	,	,	PUNCT
ejpam-2759	353	15	n)∇φn	n)∇φn	PROPN
ejpam-2759	353	16	→	→	SYM
ejpam-2759	353	17	t	t	NOUN
ejpam-2759	354	1	′	′	NOUN
ejpam-2759	354	2	k(vi)(qizi)∇φ	k(vi)(qizi)∇φ	NOUN
ejpam-2759	354	3	in	in	ADP
ejpam-2759	354	4	d′(qt	d′(qt	NOUN
ejpam-2759	354	5	)	)	PUNCT
ejpam-2759	354	6	n.	n.	PROPN
ejpam-2759	354	7	alaa	alaa	PROPN
ejpam-2759	354	8	,	,	PUNCT
ejpam-2759	354	9	f.	f.	PROPN
ejpam-2759	354	10	aqel	aqel	PROPN
ejpam-2759	354	11	/	/	SYM
ejpam-2759	354	12	eur	eur	PROPN
ejpam-2759	354	13	.	.	PUNCT
ejpam-2759	355	1	j.	j.	PROPN
ejpam-2759	355	2	pure	pure	PROPN
ejpam-2759	355	3	appl	appl	PROPN
ejpam-2759	355	4	.	.	PROPN
ejpam-2759	355	5	math	math	PROPN
ejpam-2759	355	6	,	,	PUNCT
ejpam-2759	355	7	10	10	NUM
ejpam-2759	355	8	(	(	PUNCT
ejpam-2759	355	9	2	2	NUM
ejpam-2759	355	10	)	)	PUNCT
ejpam-2759	355	11	(	(	PUNCT
ejpam-2759	355	12	2017	2017	NUM
ejpam-2759	355	13	)	)	PUNCT
ejpam-2759	355	14	,	,	PUNCT
ejpam-2759	355	15	272	272	NUM
ejpam-2759	355	16	-	-	SYM
ejpam-2759	355	17	294	294	NUM
ejpam-2759	355	18	290	290	NUM
ejpam-2759	355	19	for	for	ADP
ejpam-2759	355	20	this	this	DET
ejpam-2759	355	21	reason	reason	NOUN
ejpam-2759	356	1	,	,	PUNCT
ejpam-2759	356	2	we	we	PRON
ejpam-2759	356	3	will	will	AUX
ejpam-2759	356	4	prove	prove	VERB
ejpam-2759	356	5	that	that	DET
ejpam-2759	356	6	t	t	PROPN
ejpam-2759	356	7	′	′	NUM
ejpam-2759	356	8	k(vi	k(vi	PROPN
ejpam-2759	356	9	,	,	PUNCT
ejpam-2759	356	10	n)(qi	n)(qi	NUM
ejpam-2759	356	11	,	,	PUNCT
ejpam-2759	356	12	nzi	nzi	PROPN
ejpam-2759	356	13	,	,	PUNCT
ejpam-2759	356	14	n)∇φn	n)∇φn	PROPN
ejpam-2759	356	15	→	→	SYM
ejpam-2759	356	16	t	t	NOUN
ejpam-2759	356	17	′	′	NOUN
ejpam-2759	356	18	k(vi)(qizi)∇φ	k(vi)(qizi)∇φ	NOUN
ejpam-2759	356	19	for	for	ADP
ejpam-2759	356	20	the	the	DET
ejpam-2759	356	21	topology	topology	NOUN
ejpam-2759	356	22	σ(l1(qt	σ(l1(qt	NOUN
ejpam-2759	356	23	)	)	PUNCT
ejpam-2759	356	24	,	,	PUNCT
ejpam-2759	356	25	l∞(qt	l∞(qt	NOUN
ejpam-2759	356	26	)	)	PUNCT
ejpam-2759	356	27	)	)	PUNCT
ejpam-2759	356	28	.	.	PUNCT
ejpam-2759	357	1	(	(	PUNCT
ejpam-2759	357	2	27	27	NUM
ejpam-2759	357	3	)	)	PUNCT
ejpam-2759	357	4	so	so	ADV
ejpam-2759	357	5	let	let	VERB
ejpam-2759	357	6	v	v	NUM
ejpam-2759	357	7	∈	∈	PROPN
ejpam-2759	357	8	l∞(qt	l∞(qt	NOUN
ejpam-2759	357	9	)	)	PUNCT
ejpam-2759	357	10	,	,	PUNCT
ejpam-2759	357	11	we	we	PRON
ejpam-2759	357	12	have∫	have∫	VERB
ejpam-2759	357	13	t	t	NOUN
ejpam-2759	357	14	0	0	NUM
ejpam-2759	358	1	∫	∫	PROPN
ejpam-2759	359	1	ω	ω	PROPN
ejpam-2759	359	2	(	(	PUNCT
ejpam-2759	359	3	(	(	PUNCT
ejpam-2759	359	4	qi	qi	PROPN
ejpam-2759	359	5	,	,	PUNCT
ejpam-2759	359	6	nzi	nzi	PROPN
ejpam-2759	359	7	,	,	PUNCT
ejpam-2759	359	8	n)t	n)t	NOUN
ejpam-2759	359	9	′	′	NUM
ejpam-2759	360	1	k(vi	k(vi	PROPN
ejpam-2759	360	2	,	,	PUNCT
ejpam-2759	360	3	n)∇φn	n)∇φn	NOUN
ejpam-2759	360	4	−	−	PROPN
ejpam-2759	360	5	(	(	PUNCT
ejpam-2759	360	6	qizi)t	qizi)t	PROPN
ejpam-2759	360	7	′	′	NUM
ejpam-2759	360	8	k(vi)∇φ)vdxdt	k(vi)∇φ)vdxdt	ADJ
ejpam-2759	360	9	=	=	SYM
ejpam-2759	361	1	∫	∫	PROPN
ejpam-2759	361	2	t	t	PROPN
ejpam-2759	361	3	0	0	NUM
ejpam-2759	361	4	∫	∫	PROPN
ejpam-2759	361	5	ω	ω	PROPN
ejpam-2759	361	6	(	(	PUNCT
ejpam-2759	361	7	(	(	PUNCT
ejpam-2759	361	8	qi	qi	PROPN
ejpam-2759	361	9	,	,	PUNCT
ejpam-2759	361	10	nzi	nzi	PROPN
ejpam-2759	361	11	,	,	PUNCT
ejpam-2759	361	12	n)−	n)−	PROPN
ejpam-2759	361	13	(	(	PUNCT
ejpam-2759	361	14	qizi))t	qizi))t	NUM
ejpam-2759	361	15	′	′	NUM
ejpam-2759	361	16	k(vi	k(vi	PROPN
ejpam-2759	361	17	,	,	PUNCT
ejpam-2759	361	18	n)∇φnvdxdt	n)∇φnvdxdt	PROPN
ejpam-2759	361	19	+	+	X
ejpam-2759	361	20	∫	∫	PROPN
ejpam-2759	361	21	t	t	PROPN
ejpam-2759	361	22	0	0	NUM
ejpam-2759	361	23	∫	∫	PROPN
ejpam-2759	361	24	ω	ω	PROPN
ejpam-2759	361	25	(	(	PUNCT
ejpam-2759	361	26	qizi)(t	qizi)(t	PROPN
ejpam-2759	361	27	′	′	NUM
ejpam-2759	361	28	k(vi	k(vi	PROPN
ejpam-2759	361	29	,	,	PUNCT
ejpam-2759	361	30	n)∇φn	n)∇φn	NOUN
ejpam-2759	361	31	−	−	PROPN
ejpam-2759	361	32	t	t	PROPN
ejpam-2759	361	33	′	′	NUM
ejpam-2759	361	34	k(vi)∇φ)vdxdt	k(vi)∇φ)vdxdt	VERB
ejpam-2759	361	35	concerning	concern	VERB
ejpam-2759	361	36	the	the	DET
ejpam-2759	361	37	first	first	ADJ
ejpam-2759	361	38	term	term	NOUN
ejpam-2759	361	39	,	,	PUNCT
ejpam-2759	361	40	we	we	PRON
ejpam-2759	361	41	see	see	VERB
ejpam-2759	361	42	that	that	SCONJ
ejpam-2759	361	43	|	|	ADV
ejpam-2759	361	44	∫	∫	PROPN
ejpam-2759	361	45	t	t	PROPN
ejpam-2759	361	46	0	0	NUM
ejpam-2759	362	1	∫	∫	PROPN
ejpam-2759	363	1	ω	ω	PROPN
ejpam-2759	364	1	(	(	PUNCT
ejpam-2759	365	1	(	(	PUNCT
ejpam-2759	365	2	qi	qi	PROPN
ejpam-2759	365	3	,	,	PUNCT
ejpam-2759	365	4	nzi	nzi	PROPN
ejpam-2759	365	5	,	,	PUNCT
ejpam-2759	365	6	n)−(qizi))t	n)−(qizi))t	NOUN
ejpam-2759	366	1	′	′	NUM
ejpam-2759	366	2	k(vi	k(vi	PROPN
ejpam-2759	366	3	,	,	PUNCT
ejpam-2759	366	4	n)∇φnvdxdt|	n)∇φnvdxdt|	PROPN
ejpam-2759	366	5	≤	≤	X
ejpam-2759	366	6	||v||l∞(qt	||v||l∞(qt	ADP
ejpam-2759	366	7	)	)	PUNCT
ejpam-2759	366	8	||∇φn||l∞(qt	||∇φn||l∞(qt	NOUN
ejpam-2759	366	9	)	)	PUNCT
ejpam-2759	366	10	||(qi	||(qi	PROPN
ejpam-2759	366	11	,	,	PUNCT
ejpam-2759	366	12	nzi	nzi	NOUN
ejpam-2759	366	13	,	,	PUNCT
ejpam-2759	366	14	n)−(qizi)||l1(qt	n)−(qizi)||l1(qt	NOUN
ejpam-2759	366	15	)	)	PUNCT
ejpam-2759	366	16	then	then	ADV
ejpam-2759	366	17	by	by	ADP
ejpam-2759	366	18	using	use	VERB
ejpam-2759	366	19	the	the	DET
ejpam-2759	366	20	l1	l1	PROPN
ejpam-2759	366	21	convergence	convergence	NOUN
ejpam-2759	366	22	of	of	ADP
ejpam-2759	366	23	qi	qi	PROPN
ejpam-2759	366	24	,	,	PUNCT
ejpam-2759	366	25	nzi	nzi	PROPN
ejpam-2759	366	26	,	,	PUNCT
ejpam-2759	366	27	n	n	CCONJ
ejpam-2759	366	28	,	,	PUNCT
ejpam-2759	366	29	we	we	PRON
ejpam-2759	366	30	obtain∫	obtain∫	VERB
ejpam-2759	366	31	t	t	PROPN
ejpam-2759	366	32	0	0	NUM
ejpam-2759	367	1	∫	∫	PROPN
ejpam-2759	367	2	ω	ω	PROPN
ejpam-2759	367	3	(	(	PUNCT
ejpam-2759	367	4	(	(	PUNCT
ejpam-2759	367	5	qi	qi	PROPN
ejpam-2759	367	6	,	,	PUNCT
ejpam-2759	367	7	nzi	nzi	PROPN
ejpam-2759	367	8	,	,	PUNCT
ejpam-2759	367	9	n)−	n)−	PROPN
ejpam-2759	367	10	(	(	PUNCT
ejpam-2759	367	11	qizi))t	qizi))t	NUM
ejpam-2759	367	12	′	′	NUM
ejpam-2759	367	13	k(vi	k(vi	PROPN
ejpam-2759	367	14	,	,	PUNCT
ejpam-2759	367	15	n)∇φnvdxdt→	n)∇φnvdxdt→	NOUN
ejpam-2759	367	16	0	0	NUM
ejpam-2759	367	17	since	since	SCONJ
ejpam-2759	367	18	t	t	PROPN
ejpam-2759	367	19	′	′	NUM
ejpam-2759	367	20	k(vi	k(vi	PROPN
ejpam-2759	367	21	,	,	PUNCT
ejpam-2759	367	22	n)∇φn	n)∇φn	NOUN
ejpam-2759	367	23	converges	converge	NOUN
ejpam-2759	367	24	to	to	ADP
ejpam-2759	367	25	t	t	NOUN
ejpam-2759	367	26	′	′	NOUN
ejpam-2759	368	1	k(vi)∇φ	k(vi)∇φ	PROPN
ejpam-2759	368	2	for	for	ADP
ejpam-2759	368	3	the	the	DET
ejpam-2759	368	4	topology	topology	NOUN
ejpam-2759	368	5	σ(l∞(qt	σ(l∞(qt	NOUN
ejpam-2759	368	6	)	)	PUNCT
ejpam-2759	368	7	,	,	PUNCT
ejpam-2759	368	8	l1(qt	l1(qt	PROPN
ejpam-2759	368	9	)	)	PUNCT
ejpam-2759	368	10	)	)	PUNCT
ejpam-2759	368	11	,	,	PUNCT
ejpam-2759	368	12	we	we	PRON
ejpam-2759	368	13	get	get	VERB
ejpam-2759	368	14	the	the	DET
ejpam-2759	368	15	following	follow	VERB
ejpam-2759	368	16	result	result	NOUN
ejpam-2759	368	17	t	t	PROPN
ejpam-2759	368	18	′	′	NUM
ejpam-2759	368	19	k(vi	k(vi	PROPN
ejpam-2759	368	20	,	,	PUNCT
ejpam-2759	368	21	n)(zi	n)(zi	NUM
ejpam-2759	368	22	,	,	PUNCT
ejpam-2759	368	23	n∇qi	n∇qi	PROPN
ejpam-2759	368	24	,	,	PUNCT
ejpam-2759	368	25	n	n	PROPN
ejpam-2759	368	26	+	+	CCONJ
ejpam-2759	368	27	η	η	PROPN
ejpam-2759	368	28	∑	∑	PROPN
ejpam-2759	368	29	j	j	PROPN
ejpam-2759	368	30	6	6	NUM
ejpam-2759	368	31	=	=	PROPN
ejpam-2759	368	32	i	i	PROPN
ejpam-2759	368	33	zj	zj	PROPN
ejpam-2759	368	34	,	,	PUNCT
ejpam-2759	368	35	n∇qj	n∇qj	X
ejpam-2759	368	36	,	,	PUNCT
ejpam-2759	368	37	n	n	CCONJ
ejpam-2759	368	38	)	)	PUNCT
ejpam-2759	368	39	converges	converge	VERB
ejpam-2759	368	40	to	to	ADP
ejpam-2759	368	41	t	t	NOUN
ejpam-2759	368	42	′	′	NUM
ejpam-2759	368	43	k(vi)(zi∇qi	k(vi)(zi∇qi	PROPN
ejpam-2759	369	1	+	+	CCONJ
ejpam-2759	369	2	η	η	PROPN
ejpam-2759	369	3	∑	∑	PROPN
ejpam-2759	369	4	j	j	PROPN
ejpam-2759	369	5	6	6	NUM
ejpam-2759	369	6	=	=	PROPN
ejpam-2759	369	7	i	i	PRON
ejpam-2759	369	8	zj∇qj	zj∇qj	NUM
ejpam-2759	369	9	)	)	PUNCT
ejpam-2759	369	10	for	for	ADP
ejpam-2759	369	11	the	the	DET
ejpam-2759	369	12	topology	topology	NOUN
ejpam-2759	369	13	σ(l1(qt	σ(l1(qt	NOUN
ejpam-2759	369	14	)	)	PUNCT
ejpam-2759	369	15	,	,	PUNCT
ejpam-2759	369	16	l∞(qt	l∞(qt	NOUN
ejpam-2759	369	17	)	)	PUNCT
ejpam-2759	369	18	)	)	PUNCT
ejpam-2759	369	19	.	.	PUNCT
ejpam-2759	370	1	otherwise	otherwise	ADV
ejpam-2759	370	2	,	,	PUNCT
ejpam-2759	370	3	we	we	PRON
ejpam-2759	370	4	know	know	VERB
ejpam-2759	370	5	that	that	SCONJ
ejpam-2759	370	6	from	from	ADP
ejpam-2759	370	7	(	(	PUNCT
ejpam-2759	370	8	19	19	NUM
ejpam-2759	370	9	)	)	PUNCT
ejpam-2759	370	10	and	and	CCONJ
ejpam-2759	370	11	(	(	PUNCT
ejpam-2759	370	12	26	26	NUM
ejpam-2759	370	13	)	)	PUNCT
ejpam-2759	370	14	,	,	PUNCT
ejpam-2759	370	15	we	we	PRON
ejpam-2759	370	16	obtain	obtain	VERB
ejpam-2759	370	17	−ε∆φn	−ε∆φn	PROPN
ejpam-2759	370	18	→	→	PUNCT
ejpam-2759	370	19	−ε∆φ	−ε∆φ	VERB
ejpam-2759	370	20	in	in	ADP
ejpam-2759	370	21	d	d	PROPN
ejpam-2759	370	22	′	′	NUM
ejpam-2759	370	23	(	(	PUNCT
ejpam-2759	370	24	qt	qt	NOUN
ejpam-2759	370	25	)	)	PUNCT
ejpam-2759	370	26	.	.	PUNCT
ejpam-2759	371	1	furthermore	furthermore	ADV
ejpam-2759	371	2	,	,	PUNCT
ejpam-2759	371	3	f	f	PROPN
ejpam-2759	371	4	(	(	PUNCT
ejpam-2759	371	5	t	t	PROPN
ejpam-2759	371	6	,	,	PUNCT
ejpam-2759	371	7	x	x	NOUN
ejpam-2759	371	8	,	,	PUNCT
ejpam-2759	371	9	qnzn)→	qnzn)→	PROPN
ejpam-2759	371	10	f	f	PROPN
ejpam-2759	371	11	(	(	PUNCT
ejpam-2759	371	12	t	t	PROPN
ejpam-2759	371	13	,	,	PUNCT
ejpam-2759	371	14	x	x	PROPN
ejpam-2759	371	15	,	,	PUNCT
ejpam-2759	371	16	qz	qz	PROPN
ejpam-2759	371	17	)	)	PUNCT
ejpam-2759	371	18	a.e	a.e	PROPN
ejpam-2759	371	19	in	in	ADP
ejpam-2759	371	20	qt	qt	NOUN
ejpam-2759	371	21	according	accord	VERB
ejpam-2759	371	22	to	to	ADP
ejpam-2759	371	23	(	(	PUNCT
ejpam-2759	371	24	4	4	NUM
ejpam-2759	371	25	)	)	PUNCT
ejpam-2759	371	26	and	and	CCONJ
ejpam-2759	371	27	by	by	ADP
ejpam-2759	371	28	applynig	applynig	VERB
ejpam-2759	371	29	the	the	DET
ejpam-2759	371	30	lebesgue	lebesgue	PROPN
ejpam-2759	371	31	convergence	convergence	NOUN
ejpam-2759	371	32	theorem	theorem	VERB
ejpam-2759	371	33	,	,	PUNCT
ejpam-2759	371	34	we	we	PRON
ejpam-2759	371	35	obtain	obtain	VERB
ejpam-2759	371	36	−ε∆φn(t	−ε∆φn(t	NOUN
ejpam-2759	371	37	,	,	PUNCT
ejpam-2759	371	38	.)→	.)→	PROPN
ejpam-2759	372	1	−ε∆φ(t	−ε∆φ(t	NOUN
ejpam-2759	372	2	,	,	PUNCT
ejpam-2759	372	3	.	.	PUNCT
ejpam-2759	372	4	)	)	PUNCT
ejpam-2759	373	1	=	=	SYM
ejpam-2759	373	2	f	f	PROPN
ejpam-2759	373	3	(	(	PUNCT
ejpam-2759	373	4	t	t	PROPN
ejpam-2759	373	5	,	,	PUNCT
ejpam-2759	373	6	.	.	PUNCT
ejpam-2759	373	7	,	,	PUNCT
ejpam-2759	373	8	qz	qz	PROPN
ejpam-2759	373	9	)	)	PUNCT
ejpam-2759	373	10	strongly	strongly	ADV
ejpam-2759	373	11	in	in	ADP
ejpam-2759	373	12	l1(ω	l1(ω	PROPN
ejpam-2759	373	13	)	)	PUNCT
ejpam-2759	373	14	.	.	PUNCT
ejpam-2759	374	1	now	now	ADV
ejpam-2759	374	2	,	,	PUNCT
ejpam-2759	374	3	let	let	VERB
ejpam-2759	374	4	us	we	PRON
ejpam-2759	374	5	look	look	VERB
ejpam-2759	374	6	at	at	ADP
ejpam-2759	374	7	the	the	DET
ejpam-2759	374	8	convergence	convergence	NOUN
ejpam-2759	374	9	of	of	ADP
ejpam-2759	374	10	the	the	DET
ejpam-2759	374	11	term	term	NOUN
ejpam-2759	374	12	mi	mi	PROPN
ejpam-2759	374	13	∫	∫	PROPN
ejpam-2759	374	14	qt	qt	PROPN
ejpam-2759	374	15	t	t	PROPN
ejpam-2759	374	16	”	"	PUNCT
ejpam-2759	374	17	k	k	PROPN
ejpam-2759	374	18	(	(	PUNCT
ejpam-2759	374	19	vi	vi	PROPN
ejpam-2759	374	20	,	,	PUNCT
ejpam-2759	374	21	n)∇vi	n)∇vi	ADJ
ejpam-2759	374	22	,	,	PUNCT
ejpam-2759	374	23	n(zi	n(zi	NOUN
ejpam-2759	374	24	,	,	PUNCT
ejpam-2759	374	25	nqi	nqi	NOUN
ejpam-2759	374	26	,	,	PUNCT
ejpam-2759	374	27	n∇φn)ψ	n∇φn)ψ	ADJ
ejpam-2759	374	28	.	.	PUNCT
ejpam-2759	375	1	first	first	ADV
ejpam-2759	375	2	,	,	PUNCT
ejpam-2759	375	3	we	we	PRON
ejpam-2759	375	4	can	can	AUX
ejpam-2759	375	5	notice	notice	VERB
ejpam-2759	375	6	that	that	SCONJ
ejpam-2759	375	7	on	on	ADP
ejpam-2759	375	8	the	the	DET
ejpam-2759	375	9	set	set	NOUN
ejpam-2759	375	10	[	[	X
ejpam-2759	375	11	vi	vi	NOUN
ejpam-2759	375	12	,	,	PUNCT
ejpam-2759	375	13	n	n	DET
ejpam-2759	375	14	≤	≤	NOUN
ejpam-2759	376	1	k	k	X
ejpam-2759	376	2	]	]	X
ejpam-2759	376	3	⊂	⊂	X
ejpam-2759	377	1	[	[	X
ejpam-2759	377	2	qi	qi	PROPN
ejpam-2759	377	3	,	,	PUNCT
ejpam-2759	377	4	nzi	nzi	PROPN
ejpam-2759	377	5	,	,	PUNCT
ejpam-2759	377	6	n	n	PRON
ejpam-2759	377	7	≤	≤	NOUN
ejpam-2759	378	1	k	k	NOUN
ejpam-2759	378	2	]	]	X
ejpam-2759	378	3	,	,	PUNCT
ejpam-2759	378	4	the	the	DET
ejpam-2759	378	5	terms	term	NOUN
ejpam-2759	378	6	zi	zi	PROPN
ejpam-2759	378	7	,	,	PUNCT
ejpam-2759	378	8	n∇qi	n∇qi	PROPN
ejpam-2759	378	9	,	,	PUNCT
ejpam-2759	378	10	n	n	PRON
ejpam-2759	378	11	are	be	AUX
ejpam-2759	378	12	bounded	bound	VERB
ejpam-2759	378	13	in	in	ADP
ejpam-2759	378	14	l∞(qt	l∞(qt	NOUN
ejpam-2759	378	15	)	)	PUNCT
ejpam-2759	378	16	.	.	PUNCT
ejpam-2759	379	1	indeed	indeed	ADV
ejpam-2759	379	2	,	,	PUNCT
ejpam-2759	379	3	on	on	ADP
ejpam-2759	379	4	one	one	NUM
ejpam-2759	379	5	hand	hand	NOUN
ejpam-2759	379	6	|qi	|qi	NUM
ejpam-2759	379	7	,	,	PUNCT
ejpam-2759	379	8	nzi	nzi	PROPN
ejpam-2759	379	9	,	,	PUNCT
ejpam-2759	379	10	n|	n|	NOUN
ejpam-2759	379	11	≤	≤	NOUN
ejpam-2759	379	12	k	k	PROPN
ejpam-2759	379	13	and	and	CCONJ
ejpam-2759	379	14	on	on	ADP
ejpam-2759	379	15	the	the	DET
ejpam-2759	379	16	other	other	ADJ
ejpam-2759	379	17	hand	hand	NOUN
ejpam-2759	379	18	||∇φn||l∞(qt	||∇φn||l∞(qt	NOUN
ejpam-2759	379	19	)	)	PUNCT
ejpam-2759	379	20	≤	≤	NUM
ejpam-2759	379	21	c	c	NOUN
ejpam-2759	379	22	(	(	PUNCT
ejpam-2759	379	23	see	see	VERB
ejpam-2759	379	24	lemma	lemma	PROPN
ejpam-2759	379	25	2	2	NUM
ejpam-2759	379	26	)	)	PUNCT
ejpam-2759	379	27	.	.	PUNCT
ejpam-2759	380	1	then	then	ADV
ejpam-2759	380	2	,	,	PUNCT
ejpam-2759	380	3	we	we	PRON
ejpam-2759	380	4	deduce	deduce	VERB
ejpam-2759	380	5	that	that	SCONJ
ejpam-2759	380	6	for	for	ADP
ejpam-2759	380	7	all	all	DET
ejpam-2759	380	8	1	1	NUM
ejpam-2759	380	9	≤	≤	NUM
ejpam-2759	380	10	i	i	PRON
ejpam-2759	380	11	≤	≤	NUM
ejpam-2759	380	12	ns	ns	NUM
ejpam-2759	380	13	,	,	PUNCT
ejpam-2759	380	14	||qi	||qi	NOUN
ejpam-2759	380	15	,	,	PUNCT
ejpam-2759	380	16	nzi	nzi	NOUN
ejpam-2759	380	17	,	,	PUNCT
ejpam-2759	380	18	n∇φn||l∞(qt	n∇φn||l∞(qt	SYM
ejpam-2759	380	19	)	)	PUNCT
ejpam-2759	380	20	≤	≤	NUM
ejpam-2759	380	21	c(k	c(k	NOUN
ejpam-2759	380	22	)	)	PUNCT
ejpam-2759	380	23	.	.	PUNCT
ejpam-2759	381	1	which	which	PRON
ejpam-2759	381	2	imply	imply	VERB
ejpam-2759	381	3	that	that	PRON
ejpam-2759	381	4	for	for	ADP
ejpam-2759	381	5	a	a	DET
ejpam-2759	381	6	subsequence	subsequence	NOUN
ejpam-2759	381	7	still	still	ADV
ejpam-2759	381	8	denoted	denote	VERB
ejpam-2759	381	9	by	by	ADP
ejpam-2759	381	10	zi	zi	PROPN
ejpam-2759	381	11	,	,	PUNCT
ejpam-2759	381	12	n∇qi	n∇qi	PROPN
ejpam-2759	381	13	,	,	PUNCT
ejpam-2759	381	14	n	n	PRON
ejpam-2759	381	15	zi	zi	NOUN
ejpam-2759	381	16	,	,	PUNCT
ejpam-2759	381	17	n∇qi	n∇qi	PROPN
ejpam-2759	381	18	,	,	PUNCT
ejpam-2759	381	19	n	n	PRON
ejpam-2759	381	20	⇀	⇀	NOUN
ejpam-2759	381	21	β	β	X
ejpam-2759	381	22	converges	converge	VERB
ejpam-2759	381	23	weak-	weak-	X
ejpam-2759	381	24	*	*	PUNCT
ejpam-2759	381	25	in	in	ADP
ejpam-2759	381	26	l∞(qt	l∞(qt	NOUN
ejpam-2759	381	27	)	)	PUNCT
ejpam-2759	381	28	.	.	PUNCT
ejpam-2759	382	1	such	such	ADJ
ejpam-2759	382	2	that	that	SCONJ
ejpam-2759	382	3	β	β	PROPN
ejpam-2759	382	4	∈	∈	PROPN
ejpam-2759	382	5	l∞(qt	l∞(qt	NOUN
ejpam-2759	382	6	)	)	PUNCT
ejpam-2759	382	7	.	.	PUNCT
ejpam-2759	383	1	then	then	ADV
ejpam-2759	383	2	,	,	PUNCT
ejpam-2759	383	3	since	since	SCONJ
ejpam-2759	383	4	t	t	PROPN
ejpam-2759	383	5	”	"	PUNCT
ejpam-2759	383	6	k	k	PROPN
ejpam-2759	383	7	has	have	VERB
ejpam-2759	383	8	a	a	DET
ejpam-2759	383	9	compact	compact	ADJ
ejpam-2759	383	10	support	support	NOUN
ejpam-2759	383	11	and	and	CCONJ
ejpam-2759	383	12	by	by	ADP
ejpam-2759	383	13	using	use	VERB
ejpam-2759	383	14	the	the	DET
ejpam-2759	383	15	pointwise	pointwise	ADJ
ejpam-2759	383	16	convergence	convergence	NOUN
ejpam-2759	383	17	of	of	ADP
ejpam-2759	383	18	tk”(vi	tk”(vi	PROPN
ejpam-2759	383	19	,	,	PUNCT
ejpam-2759	383	20	n	n	CCONJ
ejpam-2759	383	21	)	)	PUNCT
ejpam-2759	383	22	n.	n.	PROPN
ejpam-2759	383	23	alaa	alaa	PROPN
ejpam-2759	383	24	,	,	PUNCT
ejpam-2759	383	25	f.	f.	PROPN
ejpam-2759	383	26	aqel	aqel	PROPN
ejpam-2759	383	27	/	/	SYM
ejpam-2759	383	28	eur	eur	PROPN
ejpam-2759	383	29	.	.	PUNCT
ejpam-2759	384	1	j.	j.	PROPN
ejpam-2759	384	2	pure	pure	PROPN
ejpam-2759	384	3	appl	appl	PROPN
ejpam-2759	384	4	.	.	PROPN
ejpam-2759	384	5	math	math	PROPN
ejpam-2759	384	6	,	,	PUNCT
ejpam-2759	384	7	10	10	NUM
ejpam-2759	384	8	(	(	PUNCT
ejpam-2759	384	9	2	2	NUM
ejpam-2759	384	10	)	)	PUNCT
ejpam-2759	384	11	(	(	PUNCT
ejpam-2759	384	12	2017	2017	NUM
ejpam-2759	384	13	)	)	PUNCT
ejpam-2759	384	14	,	,	PUNCT
ejpam-2759	384	15	272	272	NUM
ejpam-2759	384	16	-	-	SYM
ejpam-2759	384	17	294	294	NUM
ejpam-2759	384	18	291	291	NUM
ejpam-2759	384	19	to	to	ADP
ejpam-2759	384	20	t	t	PROPN
ejpam-2759	384	21	”	"	PUNCT
ejpam-2759	384	22	k	k	PROPN
ejpam-2759	384	23	(	(	PUNCT
ejpam-2759	384	24	vi	vi	NOUN
ejpam-2759	384	25	)	)	PUNCT
ejpam-2759	384	26	as	as	SCONJ
ejpam-2759	384	27	n	n	PRON
ejpam-2759	384	28	tends	tend	VERB
ejpam-2759	384	29	to	to	ADP
ejpam-2759	384	30	zero	zero	NUM
ejpam-2759	384	31	,	,	PUNCT
ejpam-2759	384	32	the	the	DET
ejpam-2759	384	33	bounded	bounded	ADJ
ejpam-2759	384	34	character	character	NOUN
ejpam-2759	384	35	of	of	ADP
ejpam-2759	384	36	t	t	PROPN
ejpam-2759	384	37	”	"	PUNCT
ejpam-2759	384	38	k	k	PROPN
ejpam-2759	384	39	and	and	CCONJ
ejpam-2759	384	40	the	the	DET
ejpam-2759	384	41	weak-	weak-	ADJ
ejpam-2759	384	42	*	*	NOUN
ejpam-2759	384	43	convergence	convergence	NOUN
ejpam-2759	384	44	of	of	ADP
ejpam-2759	384	45	zi	zi	NOUN
ejpam-2759	384	46	,	,	PUNCT
ejpam-2759	384	47	n∇qi	n∇qi	PROPN
ejpam-2759	384	48	,	,	PUNCT
ejpam-2759	384	49	n	n	CCONJ
ejpam-2759	384	50	,	,	PUNCT
ejpam-2759	384	51	we	we	PRON
ejpam-2759	384	52	conclude	conclude	VERB
ejpam-2759	384	53	that	that	PRON
ejpam-2759	384	54	t	t	PROPN
ejpam-2759	384	55	”	"	PUNCT
ejpam-2759	384	56	k	k	PROPN
ejpam-2759	384	57	(	(	PUNCT
ejpam-2759	384	58	vi	vi	PROPN
ejpam-2759	384	59	,	,	PUNCT
ejpam-2759	384	60	n)zi	n)zi	PROPN
ejpam-2759	384	61	,	,	PUNCT
ejpam-2759	384	62	n∇qi	n∇qi	PROPN
ejpam-2759	384	63	,	,	PUNCT
ejpam-2759	384	64	n	n	PRON
ejpam-2759	384	65	⇀	⇀	PROPN
ejpam-2759	384	66	t	t	NOUN
ejpam-2759	384	67	”	"	PUNCT
ejpam-2759	384	68	k	k	PROPN
ejpam-2759	384	69	(	(	PUNCT
ejpam-2759	384	70	vi)β	vi)β	ADV
ejpam-2759	384	71	converges	converge	VERB
ejpam-2759	384	72	weak-	weak-	X
ejpam-2759	384	73	*	*	PUNCT
ejpam-2759	384	74	in	in	ADP
ejpam-2759	384	75	l∞(qt	l∞(qt	NOUN
ejpam-2759	384	76	)	)	PUNCT
ejpam-2759	384	77	.	.	PUNCT
ejpam-2759	385	1	moreover	moreover	ADV
ejpam-2759	385	2	,	,	PUNCT
ejpam-2759	385	3	we	we	PRON
ejpam-2759	385	4	recall	recall	VERB
ejpam-2759	385	5	that	that	DET
ejpam-2759	385	6	∇vi	∇vi	NOUN
ejpam-2759	385	7	,	,	PUNCT
ejpam-2759	385	8	n	n	PRON
ejpam-2759	385	9	converges	converge	VERB
ejpam-2759	385	10	to	to	PART
ejpam-2759	385	11	∇vi	∇vi	VERB
ejpam-2759	385	12	strongly	strongly	ADV
ejpam-2759	385	13	in	in	ADP
ejpam-2759	385	14	l1(qt	l1(qt	PROPN
ejpam-2759	385	15	)	)	PUNCT
ejpam-2759	385	16	and	and	CCONJ
ejpam-2759	385	17	a.e	a.e	NOUN
ejpam-2759	385	18	in	in	ADP
ejpam-2759	385	19	qt	qt	NOUN
ejpam-2759	385	20	.	.	PUNCT
ejpam-2759	386	1	where	where	SCONJ
ejpam-2759	386	2	∇vi	∇vi	NOUN
ejpam-2759	386	3	=	=	X
ejpam-2759	386	4	∇(qizi	∇(qizi	PROPN
ejpam-2759	386	5	+	+	PROPN
ejpam-2759	386	6	η	η	PROPN
ejpam-2759	386	7	∑	∑	PROPN
ejpam-2759	386	8	1≤i≤ns	1≤i≤ns	NUM
ejpam-2759	386	9	,	,	PUNCT
ejpam-2759	386	10	j	j	PROPN
ejpam-2759	386	11	6	6	NUM
ejpam-2759	386	12	=	=	NOUN
ejpam-2759	386	13	i	i	PRON
ejpam-2759	386	14	qjzj	qjzj	NOUN
ejpam-2759	386	15	)	)	PUNCT
ejpam-2759	386	16	.	.	PUNCT
ejpam-2759	387	1	finally	finally	ADV
ejpam-2759	387	2	,	,	PUNCT
ejpam-2759	387	3	we	we	PRON
ejpam-2759	387	4	obtain	obtain	VERB
ejpam-2759	387	5	the	the	DET
ejpam-2759	387	6	desired	desire	VERB
ejpam-2759	387	7	result	result	NOUN
ejpam-2759	387	8	t	t	PROPN
ejpam-2759	387	9	”	"	PUNCT
ejpam-2759	387	10	k	k	PROPN
ejpam-2759	387	11	(	(	PUNCT
ejpam-2759	387	12	vi	vi	PROPN
ejpam-2759	387	13	,	,	PUNCT
ejpam-2759	387	14	n)∇vi	n)∇vi	PROPN
ejpam-2759	387	15	,	,	PUNCT
ejpam-2759	387	16	nzi	nzi	NOUN
ejpam-2759	387	17	,	,	PUNCT
ejpam-2759	387	18	n∇qi	n∇qi	PROPN
ejpam-2759	387	19	,	,	PUNCT
ejpam-2759	387	20	n	n	PROPN
ejpam-2759	387	21	→	→	SYM
ejpam-2759	387	22	t	t	PROPN
ejpam-2759	387	23	”	"	PUNCT
ejpam-2759	387	24	k	k	PROPN
ejpam-2759	387	25	(	(	PUNCT
ejpam-2759	387	26	vi)∇viβ	vi)∇viβ	PROPN
ejpam-2759	387	27	for	for	ADP
ejpam-2759	387	28	the	the	DET
ejpam-2759	387	29	topology	topology	NOUN
ejpam-2759	387	30	σ(l1(qt	σ(l1(qt	NOUN
ejpam-2759	387	31	)	)	PUNCT
ejpam-2759	387	32	,	,	PUNCT
ejpam-2759	387	33	l∞(qt	l∞(qt	NOUN
ejpam-2759	387	34	)	)	PUNCT
ejpam-2759	387	35	)	)	PUNCT
ejpam-2759	387	36	.	.	PUNCT
ejpam-2759	388	1	now	now	ADV
ejpam-2759	388	2	,	,	PUNCT
ejpam-2759	388	3	we	we	PRON
ejpam-2759	388	4	can	can	AUX
ejpam-2759	388	5	let	let	VERB
ejpam-2759	388	6	n	n	PRON
ejpam-2759	388	7	tends	tend	VERB
ejpam-2759	388	8	to	to	ADP
ejpam-2759	388	9	+	+	NOUN
ejpam-2759	388	10	∞	∞	PROPN
ejpam-2759	388	11	in	in	ADP
ejpam-2759	388	12	(	(	PUNCT
ejpam-2759	388	13	24	24	NUM
ejpam-2759	388	14	)	)	PUNCT
ejpam-2759	388	15	.	.	PUNCT
ejpam-2759	389	1	by	by	ADP
ejpam-2759	389	2	using	use	VERB
ejpam-2759	389	3	the	the	DET
ejpam-2759	389	4	strong	strong	ADJ
ejpam-2759	389	5	convergence	convergence	NOUN
ejpam-2759	389	6	in	in	ADP
ejpam-2759	389	7	l1(qt	l1(qt	PROPN
ejpam-2759	389	8	)	)	PUNCT
ejpam-2759	389	9	of	of	ADP
ejpam-2759	389	10	tk(vi	tk(vi	PROPN
ejpam-2759	389	11	,	,	PUNCT
ejpam-2759	389	12	n	n	CCONJ
ejpam-2759	389	13	)	)	PUNCT
ejpam-2759	389	14	to	to	ADP
ejpam-2759	389	15	tk(vi	tk(vi	PROPN
ejpam-2759	389	16	)	)	PUNCT
ejpam-2759	389	17	and	and	CCONJ
ejpam-2759	389	18	the	the	DET
ejpam-2759	389	19	l1	l1	PROPN
ejpam-2759	389	20	convergence	convergence	NOUN
ejpam-2759	389	21	of	of	ADP
ejpam-2759	389	22	the	the	DET
ejpam-2759	389	23	initial	initial	ADJ
ejpam-2759	389	24	data	datum	NOUN
ejpam-2759	389	25	,	,	PUNCT
ejpam-2759	389	26	we	we	PRON
ejpam-2759	389	27	obtain	obtain	VERB
ejpam-2759	389	28	−	−	PROPN
ejpam-2759	389	29	∫	∫	PROPN
ejpam-2759	389	30	ω	ω	NUM
ejpam-2759	389	31	ψ(0)ui	ψ(0)ui	NOUN
ejpam-2759	389	32	,	,	PUNCT
ejpam-2759	389	33	k(0	k(0	PROPN
ejpam-2759	389	34	)	)	PUNCT
ejpam-2759	390	1	+	+	NUM
ejpam-2759	390	2	∫	∫	PROPN
ejpam-2759	390	3	qt	qt	X
ejpam-2759	390	4	[	[	X
ejpam-2759	390	5	−ψtui	−ψtui	X
ejpam-2759	390	6	,	,	PUNCT
ejpam-2759	390	7	k	k	PROPN
ejpam-2759	390	8	+	+	PUNCT
ejpam-2759	390	9	di∇ψ∇ui	di∇ψ∇ui	PROPN
ejpam-2759	390	10	,	,	PUNCT
ejpam-2759	390	11	k]−	k]−	PROPN
ejpam-2759	390	12	di	di	PROPN
ejpam-2759	390	13	∫	∫	PROPN
ejpam-2759	390	14	qt	qt	PROPN
ejpam-2759	390	15	∇ψt	∇ψt	PROPN
ejpam-2759	390	16	′k(vi)(zi∇qi	′k(vi)(zi∇qi	PROPN
ejpam-2759	390	17	+	+	CCONJ
ejpam-2759	390	18	η	η	PROPN
ejpam-2759	390	19	∑	∑	PROPN
ejpam-2759	390	20	j	j	PROPN
ejpam-2759	390	21	6	6	NUM
ejpam-2759	390	22	=	=	PROPN
ejpam-2759	390	23	i	i	PRON
ejpam-2759	390	24	zj∇qj	zj∇qj	NUM
ejpam-2759	390	25	)	)	PUNCT
ejpam-2759	391	1	−di	−di	PROPN
ejpam-2759	391	2	∫	∫	PROPN
ejpam-2759	391	3	qt	qt	PROPN
ejpam-2759	391	4	ψt	ψt	INTJ
ejpam-2759	391	5	”	"	PUNCT
ejpam-2759	391	6	k	k	PROPN
ejpam-2759	391	7	(	(	PUNCT
ejpam-2759	391	8	vi)∇viβ	vi)∇viβ	PROPN
ejpam-2759	391	9	≥	≥	NUM
ejpam-2759	391	10	∫	∫	PROPN
ejpam-2759	391	11	qt	qt	INTJ
ejpam-2759	391	12	ψt	ψt	VERB
ejpam-2759	391	13	′	′	NUM
ejpam-2759	391	14	k(vi)[si(z	k(vi)[si(z	PROPN
ejpam-2759	391	15	,	,	PUNCT
ejpam-2759	391	16	φ	φ	NUM
ejpam-2759	391	17	)	)	PUNCT
ejpam-2759	392	1	+	+	CCONJ
ejpam-2759	392	2	η	η	PROPN
ejpam-2759	392	3	∑	∑	PROPN
ejpam-2759	392	4	j	j	PROPN
ejpam-2759	392	5	6	6	NUM
ejpam-2759	392	6	=	=	NOUN
ejpam-2759	392	7	i	i	PRON
ejpam-2759	392	8	sj(z	sj(z	VERB
ejpam-2759	392	9	,	,	PUNCT
ejpam-2759	392	10	φ	φ	NOUN
ejpam-2759	392	11	)	)	PUNCT
ejpam-2759	392	12	]	]	PUNCT
ejpam-2759	393	1	+	+	PUNCT
ejpam-2759	393	2	ε(i	ε(i	NOUN
ejpam-2759	393	3	,	,	PUNCT
ejpam-2759	393	4	η	η	PROPN
ejpam-2759	393	5	,	,	PUNCT
ejpam-2759	393	6	k	k	NOUN
ejpam-2759	393	7	,	,	PUNCT
ejpam-2759	393	8	ψ	ψ	NOUN
ejpam-2759	393	9	)	)	PUNCT
ejpam-2759	393	10	(	(	PUNCT
ejpam-2759	393	11	28	28	NUM
ejpam-2759	393	12	)	)	PUNCT
ejpam-2759	393	13	where	where	SCONJ
ejpam-2759	393	14	ε(i	ε(i	NOUN
ejpam-2759	393	15	,	,	PUNCT
ejpam-2759	393	16	η	η	NOUN
ejpam-2759	393	17	,	,	PUNCT
ejpam-2759	393	18	k	k	PROPN
ejpam-2759	393	19	,	,	PUNCT
ejpam-2759	393	20	ψ	ψ	NOUN
ejpam-2759	393	21	)	)	PUNCT
ejpam-2759	393	22	≥	≥	NOUN
ejpam-2759	393	23	−c(k	−c(k	NOUN
ejpam-2759	393	24	,	,	PUNCT
ejpam-2759	393	25	ψ)η	ψ)η	VERB
ejpam-2759	393	26	−1	−1	ADV
ejpam-2759	393	27	2	2	NUM
ejpam-2759	393	28	so	so	SCONJ
ejpam-2759	393	29	that	that	SCONJ
ejpam-2759	393	30	lim	lim	PROPN
ejpam-2759	393	31	η→	η→	PROPN
ejpam-2759	393	32	inf	inf	PROPN
ejpam-2759	393	33	0	0	NUM
ejpam-2759	393	34	ε(i	ε(i	NOUN
ejpam-2759	393	35	,	,	PUNCT
ejpam-2759	393	36	η	η	PROPN
ejpam-2759	393	37	,	,	PUNCT
ejpam-2759	393	38	k	k	PROPN
ejpam-2759	393	39	,	,	PUNCT
ejpam-2759	393	40	ψ	ψ	NOUN
ejpam-2759	393	41	)	)	PUNCT
ejpam-2759	393	42	≥	≥	NOUN
ejpam-2759	393	43	0	0	NUM
ejpam-2759	393	44	.	.	PUNCT
ejpam-2759	394	1	let	let	VERB
ejpam-2759	394	2	η	η	PROPN
ejpam-2759	394	3	tends	tend	VERB
ejpam-2759	394	4	to	to	ADP
ejpam-2759	394	5	0	0	NUM
ejpam-2759	394	6	in	in	ADP
ejpam-2759	394	7	the	the	DET
ejpam-2759	394	8	above	above	ADJ
ejpam-2759	394	9	inequality	inequality	NOUN
ejpam-2759	394	10	.	.	PUNCT
ejpam-2759	395	1	since	since	SCONJ
ejpam-2759	395	2	ui	ui	PROPN
ejpam-2759	395	3	,	,	PUNCT
ejpam-2759	395	4	k	k	PROPN
ejpam-2759	395	5	=	=	SYM
ejpam-2759	395	6	tk(vi	tk(vi	PROPN
ejpam-2759	395	7	)	)	PUNCT
ejpam-2759	396	1	=	=	SYM
ejpam-2759	397	1	tk(qizi	tk(qizi	PROPN
ejpam-2759	397	2	+	+	NUM
ejpam-2759	397	3	η	η	PROPN
ejpam-2759	397	4	∑	∑	PROPN
ejpam-2759	397	5	j	j	PROPN
ejpam-2759	397	6	6	6	NUM
ejpam-2759	397	7	=	=	NOUN
ejpam-2759	397	8	i	i	PROPN
ejpam-2759	397	9	(	(	PUNCT
ejpam-2759	397	10	qjzj	qjzj	NOUN
ejpam-2759	397	11	)	)	PUNCT
ejpam-2759	397	12	)	)	PUNCT
ejpam-2759	397	13	converges	converge	VERB
ejpam-2759	397	14	to	to	ADP
ejpam-2759	397	15	tk(qizi	tk(qizi	NOUN
ejpam-2759	397	16	)	)	PUNCT
ejpam-2759	397	17	strongly	strongly	ADV
ejpam-2759	397	18	in	in	ADP
ejpam-2759	397	19	l1(qt	l1(qt	PROPN
ejpam-2759	397	20	)	)	PUNCT
ejpam-2759	397	21	and	and	CCONJ
ejpam-2759	397	22	t	t	PROPN
ejpam-2759	397	23	′	′	NUM
ejpam-2759	397	24	k(qizi	k(qizi	VERB
ejpam-2759	398	1	+	+	CCONJ
ejpam-2759	398	2	η	η	PROPN
ejpam-2759	398	3	∑	∑	PROPN
ejpam-2759	398	4	j	j	PROPN
ejpam-2759	398	5	6	6	NUM
ejpam-2759	398	6	=	=	NOUN
ejpam-2759	398	7	i	i	PROPN
ejpam-2759	398	8	(	(	PUNCT
ejpam-2759	398	9	qjzj	qjzj	NOUN
ejpam-2759	398	10	)	)	PUNCT
ejpam-2759	398	11	)	)	PUNCT
ejpam-2759	398	12	remains	remain	VERB
ejpam-2759	398	13	uniformly	uniformly	ADV
ejpam-2759	398	14	bounded	bound	VERB
ejpam-2759	398	15	by	by	ADP
ejpam-2759	398	16	1	1	NUM
ejpam-2759	398	17	and	and	CCONJ
ejpam-2759	398	18	t	t	PROPN
ejpam-2759	398	19	′	′	NUM
ejpam-2759	398	20	k(qizi	k(qizi	VERB
ejpam-2759	399	1	+	+	CCONJ
ejpam-2759	399	2	η	η	PROPN
ejpam-2759	399	3	∑	∑	PROPN
ejpam-2759	399	4	j	j	PROPN
ejpam-2759	399	5	6	6	NUM
ejpam-2759	399	6	=	=	NOUN
ejpam-2759	399	7	i	i	PROPN
ejpam-2759	399	8	(	(	PUNCT
ejpam-2759	399	9	qjzj	qjzj	NOUN
ejpam-2759	399	10	)	)	PUNCT
ejpam-2759	399	11	)	)	PUNCT
ejpam-2759	399	12	tends	tend	VERB
ejpam-2759	399	13	a.e	a.e	PROPN
ejpam-2759	399	14	to	to	ADP
ejpam-2759	399	15	t	t	PROPN
ejpam-2759	399	16	′	′	NUM
ejpam-2759	399	17	k(qizi	k(qizi	PROPN
ejpam-2759	399	18	)	)	PUNCT
ejpam-2759	399	19	.	.	PUNCT
ejpam-2759	400	1	then	then	ADV
ejpam-2759	400	2	,	,	PUNCT
ejpam-2759	400	3	by	by	ADP
ejpam-2759	400	4	passing	pass	VERB
ejpam-2759	400	5	to	to	ADP
ejpam-2759	400	6	the	the	DET
ejpam-2759	400	7	limit	limit	NOUN
ejpam-2759	400	8	in	in	ADP
ejpam-2759	400	9	the	the	DET
ejpam-2759	400	10	sense	sense	NOUN
ejpam-2759	400	11	of	of	ADP
ejpam-2759	400	12	distributions	distribution	NOUN
ejpam-2759	400	13	,	,	PUNCT
ejpam-2759	400	14	we	we	PRON
ejpam-2759	400	15	found	find	VERB
ejpam-2759	400	16	−	−	PROPN
ejpam-2759	400	17	∫	∫	PROPN
ejpam-2759	400	18	ω	ω	PROPN
ejpam-2759	400	19	ψ(0)tk(qi,0zi,0	ψ(0)tk(qi,0zi,0	PROPN
ejpam-2759	400	20	)	)	PUNCT
ejpam-2759	401	1	+	+	CCONJ
ejpam-2759	401	2	∫	∫	X
ejpam-2759	401	3	qt	qt	X
ejpam-2759	401	4	[	[	X
ejpam-2759	401	5	−ψttk(qizi	−ψttk(qizi	PROPN
ejpam-2759	401	6	)	)	PUNCT
ejpam-2759	401	7	+	+	CCONJ
ejpam-2759	401	8	di∇ψ∇tk(qizi)]−	di∇ψ∇tk(qizi)]−	PROPN
ejpam-2759	401	9	di	di	PROPN
ejpam-2759	401	10	∫	∫	PROPN
ejpam-2759	401	11	qt	qt	PROPN
ejpam-2759	401	12	∇ψt	∇ψt	PROPN
ejpam-2759	401	13	′k(qizi)(zi∇qi	′k(qizi)(zi∇qi	NUM
ejpam-2759	401	14	)	)	PUNCT
ejpam-2759	401	15	−di	−di	PROPN
ejpam-2759	401	16	∫	∫	PROPN
ejpam-2759	401	17	qt	qt	PROPN
ejpam-2759	401	18	ψt	ψt	INTJ
ejpam-2759	401	19	”	"	PUNCT
ejpam-2759	401	20	k	k	PROPN
ejpam-2759	401	21	(	(	PUNCT
ejpam-2759	401	22	vi)∇viβ	vi)∇viβ	PROPN
ejpam-2759	401	23	≥	≥	NUM
ejpam-2759	401	24	∫	∫	PROPN
ejpam-2759	401	25	qt	qt	NOUN
ejpam-2759	401	26	ψt	ψt	VERB
ejpam-2759	401	27	′	′	NUM
ejpam-2759	401	28	k(vi)si(z	k(vi)si(z	PROPN
ejpam-2759	401	29	,	,	PUNCT
ejpam-2759	401	30	φ	φ	NOUN
ejpam-2759	401	31	)	)	PUNCT
ejpam-2759	401	32	.	.	PUNCT
ejpam-2759	402	1	(	(	PUNCT
ejpam-2759	402	2	29	29	NUM
ejpam-2759	402	3	)	)	PUNCT
ejpam-2759	402	4	finally	finally	ADV
ejpam-2759	402	5	,	,	PUNCT
ejpam-2759	402	6	let	let	VERB
ejpam-2759	402	7	k	k	PRON
ejpam-2759	402	8	→	→	PUNCT
ejpam-2759	402	9	+	+	PROPN
ejpam-2759	402	10	∞.	∞.	PROPN
ejpam-2759	402	11	since	since	SCONJ
ejpam-2759	402	12	t	t	PROPN
ejpam-2759	402	13	”	"	PUNCT
ejpam-2759	402	14	k	k	PROPN
ejpam-2759	402	15	(	(	PUNCT
ejpam-2759	402	16	qizi	qizi	NOUN
ejpam-2759	402	17	)	)	PUNCT
ejpam-2759	402	18	→	→	SYM
ejpam-2759	402	19	0	0	NUM
ejpam-2759	402	20	a.e	a.e	NOUN
ejpam-2759	402	21	in	in	ADP
ejpam-2759	402	22	qt	qt	NOUN
ejpam-2759	402	23	,	,	PUNCT
ejpam-2759	402	24	tk(qizi	tk(qizi	PROPN
ejpam-2759	402	25	)	)	PUNCT
ejpam-2759	402	26	tends	tend	VERB
ejpam-2759	402	27	to	to	PART
ejpam-2759	402	28	(	(	PUNCT
ejpam-2759	402	29	qizi	qizi	NOUN
ejpam-2759	402	30	)	)	PUNCT
ejpam-2759	402	31	in	in	ADP
ejpam-2759	402	32	l1(qt	l1(qt	PROPN
ejpam-2759	402	33	)	)	PUNCT
ejpam-2759	402	34	,	,	PUNCT
ejpam-2759	402	35	t	t	PROPN
ejpam-2759	402	36	′	′	NUM
ejpam-2759	402	37	k(qizi	k(qizi	NOUN
ejpam-2759	402	38	)	)	PUNCT
ejpam-2759	402	39	tends	tend	VERB
ejpam-2759	402	40	a.e	a.e	PRON
ejpam-2759	402	41	to	to	ADP
ejpam-2759	402	42	1	1	NUM
ejpam-2759	402	43	and	and	CCONJ
ejpam-2759	402	44	si	si	PROPN
ejpam-2759	402	45	∈	∈	PROPN
ejpam-2759	402	46	l1(qt	l1(qt	PROPN
ejpam-2759	402	47	)	)	PUNCT
ejpam-2759	402	48	,	,	PUNCT
ejpam-2759	402	49	we	we	PRON
ejpam-2759	402	50	can	can	AUX
ejpam-2759	402	51	pass	pass	VERB
ejpam-2759	402	52	to	to	ADP
ejpam-2759	402	53	the	the	DET
ejpam-2759	402	54	limit	limit	NOUN
ejpam-2759	402	55	and	and	CCONJ
ejpam-2759	402	56	obtain	obtain	VERB
ejpam-2759	402	57	−	−	PROPN
ejpam-2759	402	58	∫	∫	PROPN
ejpam-2759	402	59	ω	ω	PROPN
ejpam-2759	402	60	(	(	PUNCT
ejpam-2759	402	61	qi,0zi,0)ψ(0)+	qi,0zi,0)ψ(0)+	NOUN
ejpam-2759	402	62	∫	∫	PROPN
ejpam-2759	402	63	qt	qt	PROPN
ejpam-2759	403	1	[	[	X
ejpam-2759	403	2	−ψt(qizi)+di∇(qizi)∇ψ	−ψt(qizi)+di∇(qizi)∇ψ	X
ejpam-2759	403	3	]	]	X
ejpam-2759	403	4	+	+	NOUN
ejpam-2759	403	5	mi	mi	X
ejpam-2759	403	6	∫	∫	PROPN
ejpam-2759	403	7	qt	qt	PROPN
ejpam-2759	403	8	∇ψ(qizi∇φ	∇ψ(qizi∇φ	PROPN
ejpam-2759	403	9	)	)	PUNCT
ejpam-2759	403	10	≥	≥	PROPN
ejpam-2759	403	11	∫	∫	PROPN
ejpam-2759	403	12	qt	qt	PROPN
ejpam-2759	403	13	ψsi(z	ψsi(z	PROPN
ejpam-2759	403	14	,	,	PUNCT
ejpam-2759	403	15	φ	φ	NUM
ejpam-2759	403	16	)	)	PUNCT
ejpam-2759	403	17	(	(	PUNCT
ejpam-2759	403	18	30	30	NUM
ejpam-2759	403	19	)	)	PUNCT
ejpam-2759	403	20	finally	finally	ADV
ejpam-2759	403	21	,	,	PUNCT
ejpam-2759	403	22	we	we	PRON
ejpam-2759	403	23	obtain	obtain	VERB
ejpam-2759	403	24	−	−	PROPN
ejpam-2759	403	25	∫	∫	PROPN
ejpam-2759	403	26	ω	ω	PROPN
ejpam-2759	403	27	(	(	PUNCT
ejpam-2759	403	28	qi,0zi,0)ψ(0	qi,0zi,0)ψ(0	PROPN
ejpam-2759	403	29	)	)	PUNCT
ejpam-2759	403	30	+	+	CCONJ
ejpam-2759	403	31	∫	∫	X
ejpam-2759	403	32	qt	qt	X
ejpam-2759	403	33	[	[	X
ejpam-2759	403	34	−ψt(qizi	−ψt(qizi	PROPN
ejpam-2759	403	35	)	)	PUNCT
ejpam-2759	403	36	+	+	CCONJ
ejpam-2759	404	1	diqi∇zi∇ψ	diqi∇zi∇ψ	X
ejpam-2759	404	2	]	]	X
ejpam-2759	404	3	≥	≥	NUM
ejpam-2759	404	4	∫	∫	PROPN
ejpam-2759	404	5	qt	qt	PROPN
ejpam-2759	404	6	si(z	si(z	NOUN
ejpam-2759	404	7	,	,	PUNCT
ejpam-2759	404	8	φ)ψ	φ)ψ	NUM
ejpam-2759	404	9	(	(	PUNCT
ejpam-2759	404	10	31	31	NUM
ejpam-2759	404	11	)	)	PUNCT
ejpam-2759	404	12	n.	n.	PROPN
ejpam-2759	404	13	alaa	alaa	PROPN
ejpam-2759	404	14	,	,	PUNCT
ejpam-2759	404	15	f.	f.	PROPN
ejpam-2759	404	16	aqel	aqel	PROPN
ejpam-2759	404	17	/	/	SYM
ejpam-2759	404	18	eur	eur	PROPN
ejpam-2759	404	19	.	.	PUNCT
ejpam-2759	405	1	j.	j.	PROPN
ejpam-2759	405	2	pure	pure	PROPN
ejpam-2759	405	3	appl	appl	PROPN
ejpam-2759	405	4	.	.	PROPN
ejpam-2759	405	5	math	math	PROPN
ejpam-2759	405	6	,	,	PUNCT
ejpam-2759	405	7	10	10	NUM
ejpam-2759	405	8	(	(	PUNCT
ejpam-2759	405	9	2	2	NUM
ejpam-2759	405	10	)	)	PUNCT
ejpam-2759	405	11	(	(	PUNCT
ejpam-2759	405	12	2017	2017	NUM
ejpam-2759	405	13	)	)	PUNCT
ejpam-2759	405	14	,	,	PUNCT
ejpam-2759	405	15	272	272	NUM
ejpam-2759	405	16	-	-	SYM
ejpam-2759	405	17	294	294	NUM
ejpam-2759	405	18	292	292	NUM
ejpam-2759	405	19	3.2	3.2	NUM
ejpam-2759	405	20	.	.	PUNCT
ejpam-2759	406	1	global	global	ADJ
ejpam-2759	406	2	existence	existence	NOUN
ejpam-2759	406	3	of	of	ADP
ejpam-2759	406	4	weak	weak	ADJ
ejpam-2759	406	5	solutions	solution	NOUN
ejpam-2759	406	6	theorem	theorem	VERB
ejpam-2759	406	7	3	3	X
ejpam-2759	406	8	.	.	PUNCT
ejpam-2759	407	1	let	let	VERB
ejpam-2759	407	2	us	we	PRON
ejpam-2759	407	3	consider	consider	VERB
ejpam-2759	407	4	system	system	NOUN
ejpam-2759	407	5	(	(	PUNCT
ejpam-2759	407	6	1	1	NUM
ejpam-2759	407	7	)	)	PUNCT
ejpam-2759	407	8	together	together	ADV
ejpam-2759	407	9	with	with	ADP
ejpam-2759	407	10	(	(	PUNCT
ejpam-2759	407	11	14	14	NUM
ejpam-2759	407	12	)	)	PUNCT
ejpam-2759	407	13	or	or	CCONJ
ejpam-2759	407	14	(	(	PUNCT
ejpam-2759	407	15	15	15	NUM
ejpam-2759	407	16	)	)	PUNCT
ejpam-2759	407	17	,	,	PUNCT
ejpam-2759	407	18	with	with	ADP
ejpam-2759	407	19	(	(	PUNCT
ejpam-2759	407	20	h1	h1	PROPN
ejpam-2759	407	21	)	)	PUNCT
ejpam-2759	407	22	and	and	CCONJ
ejpam-2759	407	23	(	(	PUNCT
ejpam-2759	407	24	h3	h3	NOUN
ejpam-2759	407	25	)	)	PUNCT
ejpam-2759	407	26	,	,	PUNCT
ejpam-2759	407	27	with	with	ADP
ejpam-2759	407	28	zi,0	zi,0	PROPN
ejpam-2759	407	29	∈	∈	PROPN
ejpam-2759	407	30	l1(ω	l1(ω	PROPN
ejpam-2759	407	31	)	)	PUNCT
ejpam-2759	407	32	such	such	ADJ
ejpam-2759	407	33	that	that	SCONJ
ejpam-2759	407	34	zi,0	zi,0	PROPN
ejpam-2759	407	35	≥	≥	NOUN
ejpam-2759	407	36	0	0	NUM
ejpam-2759	407	37	,	,	PUNCT
ejpam-2759	407	38	for	for	ADP
ejpam-2759	407	39	all	all	DET
ejpam-2759	407	40	1	1	NUM
ejpam-2759	407	41	≤	≤	NUM
ejpam-2759	407	42	i	i	PRON
ejpam-2759	407	43	≤	≤	NUM
ejpam-2759	407	44	ns	n	VERB
ejpam-2759	407	45	.	.	PUNCT
ejpam-2759	408	1	we	we	PRON
ejpam-2759	408	2	assume	assume	VERB
ejpam-2759	408	3	the	the	DET
ejpam-2759	408	4	structure	structure	NOUN
ejpam-2759	408	5	(	(	PUNCT
ejpam-2759	408	6	h1	h1	PROPN
ejpam-2759	408	7	)	)	PUNCT
ejpam-2759	408	8	+	+	CCONJ
ejpam-2759	408	9	(	(	PUNCT
ejpam-2759	408	10	h2	h2	NOUN
ejpam-2759	408	11	)	)	PUNCT
ejpam-2759	408	12	hold	hold	VERB
ejpam-2759	408	13	together	together	ADV
ejpam-2759	408	14	with	with	ADP
ejpam-2759	408	15	the	the	DET
ejpam-2759	408	16	a	a	DET
ejpam-2759	408	17	priori	priori	ADJ
ejpam-2759	408	18	estimate	estimate	NOUN
ejpam-2759	408	19	(	(	PUNCT
ejpam-2759	408	20	11	11	NUM
ejpam-2759	408	21	)	)	PUNCT
ejpam-2759	408	22	.	.	PUNCT
ejpam-2759	409	1	then	then	ADV
ejpam-2759	409	2	,	,	PUNCT
ejpam-2759	409	3	system	system	NOUN
ejpam-2759	409	4	(	(	PUNCT
ejpam-2759	409	5	1	1	X
ejpam-2759	409	6	)	)	PUNCT
ejpam-2759	409	7	has	have	VERB
ejpam-2759	409	8	a	a	DET
ejpam-2759	409	9	weak	weak	ADJ
ejpam-2759	409	10	solution	solution	NOUN
ejpam-2759	409	11	on	on	ADP
ejpam-2759	409	12	(	(	PUNCT
ejpam-2759	409	13	0	0	NUM
ejpam-2759	409	14	,	,	PUNCT
ejpam-2759	409	15	t	t	NOUN
ejpam-2759	409	16	)	)	PUNCT
ejpam-2759	409	17	(	(	PUNCT
ejpam-2759	409	18	i.e	i.e	DET
ejpam-2759	409	19	equality	equality	NOUN
ejpam-2759	409	20	holds	hold	VERB
ejpam-2759	409	21	in	in	ADP
ejpam-2759	409	22	(	(	PUNCT
ejpam-2759	409	23	16	16	NUM
ejpam-2759	409	24	)	)	PUNCT
ejpam-2759	409	25	or	or	CCONJ
ejpam-2759	409	26	(	(	PUNCT
ejpam-2759	409	27	17	17	NUM
ejpam-2759	409	28	)	)	PUNCT
ejpam-2759	409	29	)	)	PUNCT
ejpam-2759	409	30	.	.	PUNCT
ejpam-2759	410	1	proof	proof	NOUN
ejpam-2759	410	2	.	.	PUNCT
ejpam-2759	411	1	by	by	ADP
ejpam-2759	411	2	theorem	theorem	NOUN
ejpam-2759	411	3	2	2	NUM
ejpam-2759	411	4	,	,	PUNCT
ejpam-2759	411	5	up	up	ADP
ejpam-2759	411	6	to	to	ADP
ejpam-2759	411	7	a	a	DET
ejpam-2759	411	8	subsequence	subsequence	NOUN
ejpam-2759	411	9	,	,	PUNCT
ejpam-2759	411	10	the	the	DET
ejpam-2759	411	11	approximate	approximate	ADJ
ejpam-2759	411	12	solution	solution	NOUN
ejpam-2759	411	13	(	(	PUNCT
ejpam-2759	411	14	qnzn	qnzn	NOUN
ejpam-2759	411	15	)	)	PUNCT
ejpam-2759	411	16	converge	converge	VERB
ejpam-2759	411	17	to	to	ADP
ejpam-2759	411	18	a	a	DET
ejpam-2759	411	19	weak	weak	ADJ
ejpam-2759	411	20	supersolution	supersolution	NOUN
ejpam-2759	411	21	.	.	PUNCT
ejpam-2759	412	1	now	now	ADV
ejpam-2759	412	2	,	,	PUNCT
ejpam-2759	412	3	we	we	PRON
ejpam-2759	412	4	try	try	VERB
ejpam-2759	412	5	to	to	PART
ejpam-2759	412	6	prove	prove	VERB
ejpam-2759	412	7	that	that	SCONJ
ejpam-2759	412	8	this	this	DET
ejpam-2759	412	9	supersolution	supersolution	NOUN
ejpam-2759	412	10	is	be	AUX
ejpam-2759	412	11	also	also	ADV
ejpam-2759	412	12	a	a	DET
ejpam-2759	412	13	subsolution	subsolution	NOUN
ejpam-2759	412	14	and	and	CCONJ
ejpam-2759	412	15	according	accord	VERB
ejpam-2759	412	16	to	to	ADP
ejpam-2759	412	17	this	this	DET
ejpam-2759	412	18	two	two	NUM
ejpam-2759	412	19	results	result	NOUN
ejpam-2759	412	20	we	we	PRON
ejpam-2759	412	21	will	will	AUX
ejpam-2759	412	22	deduce	deduce	VERB
ejpam-2759	412	23	that	that	SCONJ
ejpam-2759	412	24	the	the	DET
ejpam-2759	412	25	supersolution	supersolution	NOUN
ejpam-2759	412	26	(	(	PUNCT
ejpam-2759	412	27	resp	resp	NOUN
ejpam-2759	412	28	.	.	PUNCT
ejpam-2759	412	29	subsolution	subsolution	PROPN
ejpam-2759	412	30	)	)	PUNCT
ejpam-2759	412	31	is	be	AUX
ejpam-2759	412	32	a	a	DET
ejpam-2759	412	33	weak	weak	ADJ
ejpam-2759	412	34	solution	solution	NOUN
ejpam-2759	412	35	of	of	ADP
ejpam-2759	412	36	the	the	DET
ejpam-2759	412	37	main	main	ADJ
ejpam-2759	412	38	system	system	NOUN
ejpam-2759	412	39	that	that	PRON
ejpam-2759	412	40	we	we	PRON
ejpam-2759	412	41	have	have	AUX
ejpam-2759	412	42	considered	consider	VERB
ejpam-2759	412	43	in	in	ADP
ejpam-2759	412	44	the	the	DET
ejpam-2759	412	45	beginning	beginning	NOUN
ejpam-2759	412	46	.	.	PUNCT
ejpam-2759	413	1	from	from	ADP
ejpam-2759	413	2	the	the	DET
ejpam-2759	413	3	compactness	compactness	NOUN
ejpam-2759	413	4	lemma	lemma	PROPN
ejpam-2759	413	5	3	3	NUM
ejpam-2759	413	6	,	,	PUNCT
ejpam-2759	413	7	we	we	PRON
ejpam-2759	413	8	have	have	VERB
ejpam-2759	413	9	(	(	PUNCT
ejpam-2759	413	10	ωn,∇ωn)→	ωn,∇ωn)→	X
ejpam-2759	413	11	(	(	PUNCT
ejpam-2759	413	12	ω,∇ω	ω,∇ω	PROPN
ejpam-2759	413	13	)	)	PUNCT
ejpam-2759	413	14	in	in	ADP
ejpam-2759	413	15	[	[	X
ejpam-2759	413	16	l1(qt	l1(qt	PROPN
ejpam-2759	413	17	)	)	PUNCT
ejpam-2759	413	18	]	]	X
ejpam-2759	414	1	ns	ns	NUM
ejpam-2759	414	2	×	×	NOUN
ejpam-2759	415	1	[	[	X
ejpam-2759	415	2	[	[	X
ejpam-2759	415	3	l1(qt	l1(qt	PROPN
ejpam-2759	415	4	)	)	PUNCT
ejpam-2759	415	5	]	]	X
ejpam-2759	415	6	n	n	X
ejpam-2759	415	7	]	]	X
ejpam-2759	415	8	ns	ns	NUM
ejpam-2759	415	9	.	.	PUNCT
ejpam-2759	416	1	where	where	SCONJ
ejpam-2759	416	2	ωn	ωn	ADV
ejpam-2759	416	3	=	=	PUNCT
ejpam-2759	416	4	qnzn	qnzn	NOUN
ejpam-2759	416	5	and	and	CCONJ
ejpam-2759	416	6	ω	ω	NUM
ejpam-2759	416	7	=	=	SYM
ejpam-2759	416	8	qz	qz	PROPN
ejpam-2759	416	9	.	.	PUNCT
ejpam-2759	417	1	then	then	ADV
ejpam-2759	417	2	,	,	PUNCT
ejpam-2759	417	3	for	for	ADP
ejpam-2759	417	4	all	all	DET
ejpam-2759	417	5	ψ	ψ	PRON
ejpam-2759	417	6	∈	∈	PROPN
ejpam-2759	417	7	d	d	X
ejpam-2759	417	8	nonnegative	nonnegative	ADJ
ejpam-2759	417	9	test	test	NOUN
ejpam-2759	417	10	function	function	NOUN
ejpam-2759	417	11	and	and	CCONJ
ejpam-2759	417	12	all	all	DET
ejpam-2759	417	13	i	i	NOUN
ejpam-2759	417	14	=	=	NOUN
ejpam-2759	417	15	1	1	NUM
ejpam-2759	417	16	,	,	PUNCT
ejpam-2759	417	17	...	...	PUNCT
ejpam-2759	417	18	,	,	PUNCT
ejpam-2759	417	19	ns	ns	INTJ
ejpam-2759	417	20	,	,	PUNCT
ejpam-2759	417	21	we	we	PRON
ejpam-2759	417	22	have	have	VERB
ejpam-2759	417	23	−	−	PROPN
ejpam-2759	417	24	∫	∫	PROPN
ejpam-2759	417	25	ω	ω	PROPN
ejpam-2759	417	26	(	(	PUNCT
ejpam-2759	417	27	qi,0zi,0)ψ(0)+	qi,0zi,0)ψ(0)+	NOUN
ejpam-2759	417	28	∫	∫	PROPN
ejpam-2759	417	29	qt	qt	PROPN
ejpam-2759	418	1	[	[	X
ejpam-2759	418	2	−ψt(qizi)+di∇(qizi)∇ψ]+mi	−ψt(qizi)+di∇(qizi)∇ψ]+mi	PUNCT
ejpam-2759	418	3	∫	∫	PROPN
ejpam-2759	418	4	qt	qt	PROPN
ejpam-2759	418	5	(	(	PUNCT
ejpam-2759	418	6	qizi)∇φ∇ψ	qizi)∇φ∇ψ	X
ejpam-2759	418	7	≥	≥	PROPN
ejpam-2759	418	8	∫	∫	PROPN
ejpam-2759	418	9	qt	qt	PROPN
ejpam-2759	418	10	si(z	si(z	NOUN
ejpam-2759	418	11	,	,	PUNCT
ejpam-2759	418	12	φ)ψ	φ)ψ	NUM
ejpam-2759	418	13	where	where	SCONJ
ejpam-2759	418	14	si(z	si(z	NOUN
ejpam-2759	418	15	,	,	PUNCT
ejpam-2759	418	16	φ	φ	NUM
ejpam-2759	418	17	)	)	PUNCT
ejpam-2759	418	18	∈	∈	PROPN
ejpam-2759	418	19	l1(qt	l1(qt	PROPN
ejpam-2759	418	20	)	)	PUNCT
ejpam-2759	418	21	.	.	PUNCT
ejpam-2759	419	1	in	in	ADP
ejpam-2759	419	2	the	the	DET
ejpam-2759	419	3	following	following	ADJ
ejpam-2759	419	4	step	step	NOUN
ejpam-2759	419	5	,	,	PUNCT
ejpam-2759	419	6	we	we	PRON
ejpam-2759	419	7	introduce	introduce	VERB
ejpam-2759	419	8	the	the	DET
ejpam-2759	419	9	notations	notation	NOUN
ejpam-2759	419	10	and	and	CCONJ
ejpam-2759	419	11	wn	wn	NOUN
ejpam-2759	419	12	=	=	PUNCT
ejpam-2759	419	13	ns∑	ns∑	PROPN
ejpam-2759	419	14	i=1	i=1	PROPN
ejpam-2759	419	15	qi	qi	PROPN
ejpam-2759	419	16	,	,	PUNCT
ejpam-2759	419	17	nzi	nzi	PROPN
ejpam-2759	419	18	,	,	PUNCT
ejpam-2759	419	19	n	n	CCONJ
ejpam-2759	419	20	,	,	PUNCT
ejpam-2759	419	21	tn	tn	NOUN
ejpam-2759	420	1	=	=	PUNCT
ejpam-2759	420	2	ns∑	ns∑	PROPN
ejpam-2759	420	3	i=1	i=1	PROPN
ejpam-2759	420	4	diqi	diqi	PROPN
ejpam-2759	420	5	,	,	PUNCT
ejpam-2759	420	6	nzi	nzi	PROPN
ejpam-2759	420	7	,	,	PUNCT
ejpam-2759	420	8	n	n	CCONJ
ejpam-2759	420	9	,	,	PUNCT
ejpam-2759	420	10	yn	yn	PROPN
ejpam-2759	421	1	=	=	PUNCT
ejpam-2759	421	2	ns∑	ns∑	PROPN
ejpam-2759	421	3	i=1	i=1	PROPN
ejpam-2759	421	4	miqi	miqi	PROPN
ejpam-2759	421	5	,	,	PUNCT
ejpam-2759	421	6	nzi	nzi	PROPN
ejpam-2759	421	7	,	,	PUNCT
ejpam-2759	421	8	n	n	CCONJ
ejpam-2759	421	9	,	,	PUNCT
ejpam-2759	421	10	w	w	NOUN
ejpam-2759	421	11	=	=	PUNCT
ejpam-2759	421	12	ns∑	ns∑	PROPN
ejpam-2759	421	13	i=1	i=1	PROPN
ejpam-2759	421	14	qizi	qizi	PROPN
ejpam-2759	421	15	,	,	PUNCT
ejpam-2759	421	16	t	t	PROPN
ejpam-2759	421	17	=	=	PUNCT
ejpam-2759	421	18	ns∑	ns∑	PROPN
ejpam-2759	421	19	i=1	i=1	PROPN
ejpam-2759	421	20	diqizi	diqizi	PROPN
ejpam-2759	421	21	,	,	PUNCT
ejpam-2759	421	22	y	y	PROPN
ejpam-2759	421	23	=	=	PUNCT
ejpam-2759	421	24	ns∑	ns∑	PROPN
ejpam-2759	421	25	i=1	i=1	PROPN
ejpam-2759	421	26	miqizi	miqizi	PROPN
ejpam-2759	421	27	,	,	PUNCT
ejpam-2759	421	28	we	we	PRON
ejpam-2759	421	29	sum	sum	VERB
ejpam-2759	421	30	the	the	DET
ejpam-2759	421	31	equations	equation	NOUN
ejpam-2759	421	32	of	of	ADP
ejpam-2759	421	33	the	the	DET
ejpam-2759	421	34	approximate	approximate	ADJ
ejpam-2759	421	35	problem	problem	NOUN
ejpam-2759	421	36	then	then	ADV
ejpam-2759	421	37	we	we	PRON
ejpam-2759	421	38	get	get	VERB
ejpam-2759	421	39	−	−	PROPN
ejpam-2759	421	40	∫	∫	PROPN
ejpam-2759	421	41	ω	ω	PROPN
ejpam-2759	421	42	ψ(0)wn(0	ψ(0)wn(0	PROPN
ejpam-2759	421	43	)	)	PUNCT
ejpam-2759	422	1	+	+	CCONJ
ejpam-2759	422	2	∫	∫	X
ejpam-2759	422	3	qt	qt	X
ejpam-2759	422	4	[	[	X
ejpam-2759	422	5	−ψtwn	−ψtwn	NOUN
ejpam-2759	422	6	+	+	NOUN
ejpam-2759	422	7	∇tn∇ψ	∇tn∇ψ	NOUN
ejpam-2759	422	8	]	]	PUNCT
ejpam-2759	423	1	+	+	CCONJ
ejpam-2759	423	2	∫	∫	PROPN
ejpam-2759	423	3	qt	qt	INTJ
ejpam-2759	423	4	yn∇φn∇ψ	yn∇φn∇ψ	PROPN
ejpam-2759	423	5	=	=	SYM
ejpam-2759	423	6	∫	∫	PROPN
ejpam-2759	423	7	qt	qt	INTJ
ejpam-2759	423	8	ns∑	ns∑	PROPN
ejpam-2759	423	9	i=1	i=1	PROPN
ejpam-2759	423	10	sni	sni	PROPN
ejpam-2759	423	11	(	(	PUNCT
ejpam-2759	423	12	zn	zn	PROPN
ejpam-2759	423	13	,	,	PUNCT
ejpam-2759	423	14	φn)ψ	φn)ψ	PROPN
ejpam-2759	423	15	and	and	CCONJ
ejpam-2759	423	16	from	from	ADP
ejpam-2759	423	17	structure	structure	NOUN
ejpam-2759	423	18	(	(	PUNCT
ejpam-2759	423	19	h2	h2	PROPN
ejpam-2759	423	20	)	)	PUNCT
ejpam-2759	423	21	,	,	PUNCT
ejpam-2759	423	22	we	we	PRON
ejpam-2759	423	23	have	have	AUX
ejpam-2759	423	24	ns∑	ns∑	VERB
ejpam-2759	423	25	i=1	i=1	PROPN
ejpam-2759	423	26	sni	sni	PROPN
ejpam-2759	423	27	(	(	PUNCT
ejpam-2759	423	28	zn	zn	PROPN
ejpam-2759	423	29	,	,	PUNCT
ejpam-2759	423	30	φn	φn	NOUN
ejpam-2759	423	31	)	)	PUNCT
ejpam-2759	423	32	≤	≤	PROPN
ejpam-2759	424	1	c(1	c(1	PROPN
ejpam-2759	424	2	+	+	PROPN
ejpam-2759	424	3	wn	wn	PROPN
ejpam-2759	424	4	)	)	PUNCT
ejpam-2759	424	5	which	which	PRON
ejpam-2759	424	6	means	mean	VERB
ejpam-2759	424	7	c(1	c(1	PROPN
ejpam-2759	424	8	+	+	PROPN
ejpam-2759	424	9	wn)−	wn)−	NOUN
ejpam-2759	424	10	ns∑	ns∑	VERB
ejpam-2759	424	11	i=1	i=1	PROPN
ejpam-2759	424	12	sni	sni	PROPN
ejpam-2759	424	13	(	(	PUNCT
ejpam-2759	424	14	zn	zn	PROPN
ejpam-2759	424	15	,	,	PUNCT
ejpam-2759	424	16	φn	φn	PROPN
ejpam-2759	424	17	)	)	PUNCT
ejpam-2759	424	18	≥	≥	NOUN
ejpam-2759	424	19	0	0	NUM
ejpam-2759	425	1	and	and	CCONJ
ejpam-2759	425	2	we	we	PRON
ejpam-2759	425	3	already	already	ADV
ejpam-2759	425	4	know	know	VERB
ejpam-2759	425	5	that	that	SCONJ
ejpam-2759	425	6	wn	wn	PROPN
ejpam-2759	425	7	→	→	SYM
ejpam-2759	425	8	w	w	PROPN
ejpam-2759	425	9	in	in	ADP
ejpam-2759	425	10	l1(qt	l1(qt	PROPN
ejpam-2759	425	11	)	)	PUNCT
ejpam-2759	425	12	sni	sni	PROPN
ejpam-2759	425	13	(	(	PUNCT
ejpam-2759	425	14	zn	zn	PROPN
ejpam-2759	425	15	,	,	PUNCT
ejpam-2759	425	16	φn	φn	PROPN
ejpam-2759	425	17	)	)	PUNCT
ejpam-2759	425	18	→	→	SYM
ejpam-2759	425	19	si(z	si(z	PROPN
ejpam-2759	425	20	,	,	PUNCT
ejpam-2759	425	21	φ	φ	X
ejpam-2759	425	22	)	)	PUNCT
ejpam-2759	425	23	a.e	a.e	NOUN
ejpam-2759	425	24	in	in	ADP
ejpam-2759	425	25	qt	qt	NOUN
ejpam-2759	425	26	references	reference	NOUN
ejpam-2759	425	27	293	293	NUM
ejpam-2759	425	28	using	use	VERB
ejpam-2759	425	29	fatou	fatou	NOUN
ejpam-2759	425	30	’s	’s	PART
ejpam-2759	425	31	lemma	lemma	PROPN
ejpam-2759	425	32	,	,	PUNCT
ejpam-2759	425	33	this	this	PRON
ejpam-2759	425	34	leads	lead	VERB
ejpam-2759	425	35	to∫	to∫	NOUN
ejpam-2759	425	36	qt	qt	ADP
ejpam-2759	425	37	−ψ	−ψ	NOUN
ejpam-2759	425	38	ns∑	ns∑	PROPN
ejpam-2759	425	39	i=1	i=1	PROPN
ejpam-2759	425	40	si(z	si(z	PROPN
ejpam-2759	425	41	,	,	PUNCT
ejpam-2759	425	42	φ	φ	NUM
ejpam-2759	425	43	)	)	PUNCT
ejpam-2759	425	44	≤	≤	PROPN
ejpam-2759	426	1	lim	lim	PROPN
ejpam-2759	426	2	n→	n→	PROPN
ejpam-2759	426	3	inf	inf	PROPN
ejpam-2759	427	1	+	+	PROPN
ejpam-2759	427	2	∞	∞	PROPN
ejpam-2759	427	3	∫	∫	PROPN
ejpam-2759	427	4	qt	qt	PROPN
ejpam-2759	427	5	−ψ	−ψ	NOUN
ejpam-2759	427	6	ns∑	ns∑	PROPN
ejpam-2759	427	7	i=1	i=1	PROPN
ejpam-2759	427	8	sni	sni	PROPN
ejpam-2759	427	9	(	(	PUNCT
ejpam-2759	427	10	zn	zn	PROPN
ejpam-2759	427	11	,	,	PUNCT
ejpam-2759	427	12	φn	φn	PROPN
ejpam-2759	427	13	)	)	PUNCT
ejpam-2759	427	14	(	(	PUNCT
ejpam-2759	427	15	32	32	NUM
ejpam-2759	427	16	)	)	PUNCT
ejpam-2759	427	17	thus	thus	ADV
ejpam-2759	427	18	−	−	NUM
ejpam-2759	427	19	∫	∫	PROPN
ejpam-2759	427	20	ω	ω	NUM
ejpam-2759	427	21	ψ(0)w	ψ(0)w	PROPN
ejpam-2759	427	22	(	(	PUNCT
ejpam-2759	427	23	0	0	NUM
ejpam-2759	427	24	)	)	PUNCT
ejpam-2759	427	25	+	+	CCONJ
ejpam-2759	427	26	∫	∫	X
ejpam-2759	427	27	qt	qt	X
ejpam-2759	428	1	[	[	X
ejpam-2759	428	2	−ψtw	−ψtw	NOUN
ejpam-2759	429	1	+	+	NOUN
ejpam-2759	429	2	∇t∇ψ	∇t∇ψ	PROPN
ejpam-2759	429	3	]	]	X
ejpam-2759	430	1	+	+	CCONJ
ejpam-2759	430	2	∫	∫	X
ejpam-2759	430	3	qt	qt	PROPN
ejpam-2759	430	4	y∇φ∇ψ	y∇φ∇ψ	PROPN
ejpam-2759	430	5	≤	≤	PROPN
ejpam-2759	430	6	∫	∫	PROPN
ejpam-2759	430	7	qt	qt	PROPN
ejpam-2759	430	8	ψ	ψ	AUX
ejpam-2759	430	9	ns∑	ns∑	PROPN
ejpam-2759	430	10	i=1	i=1	PROPN
ejpam-2759	430	11	si(z	si(z	PROPN
ejpam-2759	430	12	,	,	PUNCT
ejpam-2759	430	13	φ	φ	NOUN
ejpam-2759	430	14	)	)	PUNCT
ejpam-2759	430	15	finally	finally	ADV
ejpam-2759	430	16	,	,	PUNCT
ejpam-2759	430	17	we	we	PRON
ejpam-2759	430	18	obtain	obtain	VERB
ejpam-2759	430	19	the	the	DET
ejpam-2759	430	20	suitable	suitable	ADJ
ejpam-2759	430	21	result	result	NOUN
ejpam-2759	430	22	.	.	PUNCT
ejpam-2759	431	1	4	4	X
ejpam-2759	431	2	.	.	X
ejpam-2759	431	3	references	reference	NOUN
ejpam-2759	431	4	acknowledgements	acknowledgement	VERB
ejpam-2759	431	5	the	the	DET
ejpam-2759	431	6	authors	author	NOUN
ejpam-2759	431	7	thank	thank	VERB
ejpam-2759	431	8	the	the	DET
ejpam-2759	431	9	readers	reader	NOUN
ejpam-2759	431	10	of	of	ADP
ejpam-2759	431	11	european	european	PROPN
ejpam-2759	431	12	journal	journal	PROPN
ejpam-2759	431	13	of	of	ADP
ejpam-2759	431	14	pure	pure	ADJ
ejpam-2759	431	15	and	and	CCONJ
ejpam-2759	431	16	applied	applied	ADJ
ejpam-2759	431	17	mathematics	mathematic	NOUN
ejpam-2759	431	18	,	,	PUNCT
ejpam-2759	431	19	for	for	ADP
ejpam-2759	431	20	making	make	VERB
ejpam-2759	431	21	our	our	PRON
ejpam-2759	431	22	journal	journal	NOUN
ejpam-2759	431	23	successful	successful	ADJ
ejpam-2759	431	24	.	.	PUNCT
ejpam-2759	432	1	references	reference	NOUN
ejpam-2759	432	2	[	[	X
ejpam-2759	432	3	1	1	NUM
ejpam-2759	432	4	]	]	X
ejpam-2759	432	5	n.	n.	PROPN
ejpam-2759	432	6	alaa	alaa	PROPN
ejpam-2759	432	7	and	and	CCONJ
ejpam-2759	432	8	f.	f.	PROPN
ejpam-2759	432	9	aqel	aqel	PROPN
ejpam-2759	432	10	.	.	PUNCT
ejpam-2759	433	1	periodic	periodic	ADJ
ejpam-2759	433	2	solution	solution	NOUN
ejpam-2759	433	3	for	for	ADP
ejpam-2759	433	4	some	some	DET
ejpam-2759	433	5	parabolic	parabolic	ADJ
ejpam-2759	433	6	degenerate	degenerate	ADJ
ejpam-2759	433	7	equation	equation	NOUN
ejpam-2759	433	8	with	with	ADP
ejpam-2759	433	9	critical	critical	ADJ
ejpam-2759	433	10	growth	growth	NOUN
ejpam-2759	433	11	with	with	ADP
ejpam-2759	433	12	respect	respect	NOUN
ejpam-2759	433	13	to	to	ADP
ejpam-2759	433	14	the	the	DET
ejpam-2759	433	15	gradient	gradient	NOUN
ejpam-2759	433	16	.	.	PUNCT
ejpam-2759	434	1	annals	annal	NOUN
ejpam-2759	434	2	of	of	ADP
ejpam-2759	434	3	the	the	DET
ejpam-2759	434	4	university	university	PROPN
ejpam-2759	434	5	of	of	ADP
ejpam-2759	434	6	craiova	craiova	PROPN
ejpam-2759	434	7	mathematics	mathematics	PROPN
ejpam-2759	434	8	and	and	CCONJ
ejpam-2759	434	9	computer	computer	NOUN
ejpam-2759	434	10	science	science	NOUN
ejpam-2759	434	11	series	series	NOUN
ejpam-2759	434	12	,	,	PUNCT
ejpam-2759	434	13	42:13–26	42:13–26	PROPN
ejpam-2759	434	14	,	,	PUNCT
ejpam-2759	434	15	2015	2015	NUM
ejpam-2759	434	16	.	.	PUNCT
ejpam-2759	435	1	[	[	X
ejpam-2759	435	2	2	2	NUM
ejpam-2759	435	3	]	]	X
ejpam-2759	435	4	n.	n.	PROPN
ejpam-2759	435	5	alaa	alaa	PROPN
ejpam-2759	435	6	,	,	PUNCT
ejpam-2759	435	7	n.	n.	PROPN
ejpam-2759	435	8	idrissi	idrissi	PROPN
ejpam-2759	435	9	fatmi	fatmi	PROPN
ejpam-2759	435	10	,	,	PUNCT
ejpam-2759	435	11	and	and	CCONJ
ejpam-2759	435	12	j.	j.	PROPN
ejpam-2759	435	13	r.	r.	PROPN
ejpam-2759	435	14	roche	roche	PROPN
ejpam-2759	435	15	.	.	PUNCT
ejpam-2759	436	1	mathematical	mathematical	ADJ
ejpam-2759	436	2	analysis	analysis	NOUN
ejpam-2759	436	3	for	for	ADP
ejpam-2759	436	4	a	a	DET
ejpam-2759	436	5	model	model	NOUN
ejpam-2759	436	6	of	of	ADP
ejpam-2759	436	7	nickel	nickel	NOUN
ejpam-2759	436	8	-	-	PUNCT
ejpam-2759	436	9	iron	iron	NOUN
ejpam-2759	436	10	alloy	alloy	NOUN
ejpam-2759	436	11	electrodeposition	electrodeposition	NOUN
ejpam-2759	436	12	on	on	ADP
ejpam-2759	436	13	rotating	rotate	VERB
ejpam-2759	436	14	disk	disk	NOUN
ejpam-2759	436	15	electrode	electrode	NOUN
ejpam-2759	436	16	parabolic	parabolic	NOUN
ejpam-2759	436	17	case	case	NOUN
ejpam-2759	436	18	.	.	PUNCT
ejpam-2759	437	1	international	international	ADJ
ejpam-2759	437	2	journal	journal	PROPN
ejpam-2759	437	3	of	of	ADP
ejpam-2759	437	4	mathematics	mathematic	NOUN
ejpam-2759	437	5	and	and	CCONJ
ejpam-2759	437	6	statistic	statistic	NOUN
ejpam-2759	437	7	,	,	PUNCT
ejpam-2759	437	8	pages	page	NOUN
ejpam-2759	437	9	421–439	421–439	NUM
ejpam-2759	437	10	,	,	PUNCT
ejpam-2759	437	11	spring	spring	NOUN
ejpam-2759	437	12	2008	2008	NUM
ejpam-2759	437	13	.	.	PUNCT
ejpam-2759	438	1	[	[	X
ejpam-2759	438	2	3	3	X
ejpam-2759	438	3	]	]	X
ejpam-2759	438	4	n.	n.	PROPN
ejpam-2759	438	5	alaa	alaa	PROPN
ejpam-2759	438	6	and	and	CCONJ
ejpam-2759	438	7	a.	a.	NOUN
ejpam-2759	438	8	lefraich	lefraich	PROPN
ejpam-2759	438	9	.	.	PUNCT
ejpam-2759	439	1	computational	computational	ADJ
ejpam-2759	439	2	simulation	simulation	NOUN
ejpam-2759	439	3	of	of	ADP
ejpam-2759	439	4	a	a	DET
ejpam-2759	439	5	new	new	ADJ
ejpam-2759	439	6	system	system	NOUN
ejpam-2759	439	7	modelling	model	VERB
ejpam-2759	439	8	ions	ion	NOUN
ejpam-2759	439	9	electromigration	electromigration	NOUN
ejpam-2759	439	10	through	through	ADP
ejpam-2759	439	11	biological	biological	ADJ
ejpam-2759	439	12	membranes	membrane	NOUN
ejpam-2759	439	13	.	.	PUNCT
ejpam-2759	440	1	theoretical	theoretical	ADJ
ejpam-2759	440	2	biology	biology	NOUN
ejpam-2759	440	3	and	and	CCONJ
ejpam-2759	440	4	medical	medical	ADJ
ejpam-2759	440	5	modelling	modelling	NOUN
ejpam-2759	440	6	,	,	PUNCT
ejpam-2759	440	7	pages	page	NOUN
ejpam-2759	440	8	10–51	10–51	NUM
ejpam-2759	440	9	,	,	PUNCT
ejpam-2759	440	10	2013	2013	NUM
ejpam-2759	440	11	.	.	PUNCT
ejpam-2759	441	1	[	[	X
ejpam-2759	441	2	4	4	X
ejpam-2759	441	3	]	]	X
ejpam-2759	441	4	n.	n.	PROPN
ejpam-2759	441	5	alaa	alaa	PROPN
ejpam-2759	441	6	,	,	PUNCT
ejpam-2759	441	7	a.	a.	NOUN
ejpam-2759	441	8	lefraich	lefraich	PROPN
ejpam-2759	441	9	,	,	PUNCT
ejpam-2759	441	10	and	and	CCONJ
ejpam-2759	441	11	i.	i.	PROPN
ejpam-2759	441	12	el	el	PROPN
ejpam-2759	441	13	malki	malki	PROPN
ejpam-2759	441	14	.	.	PUNCT
ejpam-2759	442	1	a	a	DET
ejpam-2759	442	2	second	second	ADJ
ejpam-2759	442	3	-	-	PUNCT
ejpam-2759	442	4	generation	generation	NOUN
ejpam-2759	442	5	computational	computational	ADJ
ejpam-2759	442	6	modeling	modeling	NOUN
ejpam-2759	442	7	of	of	ADP
ejpam-2759	442	8	cardiac	cardiac	ADJ
ejpam-2759	442	9	electrophysiology	electrophysiology	NOUN
ejpam-2759	442	10	:	:	PUNCT
ejpam-2759	442	11	response	response	NOUN
ejpam-2759	442	12	of	of	ADP
ejpam-2759	442	13	action	action	NOUN
ejpam-2759	442	14	potential	potential	NOUN
ejpam-2759	442	15	to	to	ADP
ejpam-2759	442	16	ionic	ionic	ADJ
ejpam-2759	442	17	concentration	concentration	NOUN
ejpam-2759	442	18	changes	change	NOUN
ejpam-2759	442	19	and	and	CCONJ
ejpam-2759	442	20	metabolic	metabolic	NOUN
ejpam-2759	442	21	inhibition	inhibition	NOUN
ejpam-2759	442	22	.	.	PUNCT
ejpam-2759	443	1	theoretical	theoretical	ADJ
ejpam-2759	443	2	biology	biology	NOUN
ejpam-2759	443	3	and	and	CCONJ
ejpam-2759	443	4	medical	medical	ADJ
ejpam-2759	443	5	modelling	modelling	NOUN
ejpam-2759	443	6	,	,	PUNCT
ejpam-2759	443	7	pages	page	NOUN
ejpam-2759	443	8	11–46	11–46	NUM
ejpam-2759	443	9	,	,	PUNCT
ejpam-2759	443	10	2014	2014	NUM
ejpam-2759	443	11	.	.	PUNCT
ejpam-2759	444	1	[	[	X
ejpam-2759	444	2	5	5	X
ejpam-2759	444	3	]	]	PUNCT
ejpam-2759	444	4	r.	r.	PROPN
ejpam-2759	444	5	e.	e.	PROPN
ejpam-2759	444	6	baker	baker	PROPN
ejpam-2759	444	7	.	.	PROPN
ejpam-2759	444	8	mathematical	mathematical	ADJ
ejpam-2759	444	9	biology	biology	NOUN
ejpam-2759	444	10	and	and	CCONJ
ejpam-2759	444	11	ecology	ecology	NOUN
ejpam-2759	444	12	lecture	lecture	NOUN
ejpam-2759	444	13	notes	note	NOUN
ejpam-2759	444	14	.	.	PUNCT
ejpam-2759	445	1	2011	2011	NUM
ejpam-2759	445	2	.	.	PUNCT
ejpam-2759	446	1	[	[	X
ejpam-2759	446	2	6	6	NUM
ejpam-2759	446	3	]	]	PUNCT
ejpam-2759	446	4	h.	h.	PROPN
ejpam-2759	446	5	cohen	cohen	PROPN
ejpam-2759	446	6	and	and	CCONJ
ejpam-2759	446	7	j.w	j.w	PROPN
ejpam-2759	446	8	.	.	PROPN
ejpam-2759	446	9	cooley	cooley	PROPN
ejpam-2759	446	10	.	.	PUNCT
ejpam-2759	447	1	the	the	DET
ejpam-2759	447	2	numerical	numerical	ADJ
ejpam-2759	447	3	solution	solution	NOUN
ejpam-2759	447	4	of	of	ADP
ejpam-2759	447	5	the	the	DET
ejpam-2759	447	6	time	time	NOUN
ejpam-2759	447	7	dependent	dependent	ADJ
ejpam-2759	447	8	nernstplanck	nernstplanck	ADJ
ejpam-2759	447	9	equations	equation	NOUN
ejpam-2759	447	10	.	.	PUNCT
ejpam-2759	448	1	biophys	biophys	PROPN
ejpam-2759	448	2	j.	j.	PROPN
ejpam-2759	448	3	,	,	PUNCT
ejpam-2759	448	4	5(2):145–162	5(2):145–162	PROPN
ejpam-2759	448	5	,	,	PUNCT
ejpam-2759	448	6	1965	1965	NUM
ejpam-2759	448	7	.	.	PUNCT
ejpam-2759	449	1	[	[	X
ejpam-2759	449	2	7	7	X
ejpam-2759	449	3	]	]	X
ejpam-2759	449	4	r.	r.	PROPN
ejpam-2759	449	5	dautray	dautray	PROPN
ejpam-2759	449	6	and	and	CCONJ
ejpam-2759	449	7	j.	j.	PROPN
ejpam-2759	449	8	l.	l.	PROPN
ejpam-2759	449	9	lions	lions	PROPN
ejpam-2759	449	10	.	.	PUNCT
ejpam-2759	450	1	analyse	analyse	PROPN
ejpam-2759	450	2	mathéatique	mathéatique	PROPN
ejpam-2759	450	3	et	et	PROPN
ejpam-2759	450	4	calcul	calcul	PROPN
ejpam-2759	450	5	numérique	numérique	PROPN
ejpam-2759	450	6	pour	pour	VERB
ejpam-2759	450	7	les	les	X
ejpam-2759	450	8	sciences	sciences	PROPN
ejpam-2759	450	9	et	et	PROPN
ejpam-2759	450	10	les	les	PROPN
ejpam-2759	450	11	techniques	technique	NOUN
ejpam-2759	450	12	.	.	PUNCT
ejpam-2759	451	1	annals	annal	NOUN
ejpam-2759	451	2	of	of	ADP
ejpam-2759	451	3	physics	physics	NOUN
ejpam-2759	451	4	,	,	PUNCT
ejpam-2759	451	5	8	8	NUM
ejpam-2759	451	6	,	,	PUNCT
ejpam-2759	451	7	1988	1988	NUM
ejpam-2759	451	8	.	.	PUNCT
ejpam-2759	452	1	references	reference	NOUN
ejpam-2759	452	2	294	294	NUM
ejpam-2759	452	3	[	[	X
ejpam-2759	452	4	8	8	NUM
ejpam-2759	452	5	]	]	X
ejpam-2759	452	6	j.henry	j.henry	NOUN
ejpam-2759	452	7	and	and	CCONJ
ejpam-2759	452	8	b.louro	b.louro	NOUN
ejpam-2759	452	9	.	.	PUNCT
ejpam-2759	453	1	asymptotic	asymptotic	ADJ
ejpam-2759	453	2	analysis	analysis	NOUN
ejpam-2759	453	3	of	of	ADP
ejpam-2759	453	4	reaction	reaction	NOUN
ejpam-2759	453	5	diffusion	diffusion	NOUN
ejpam-2759	453	6	electromigration	electromigration	NOUN
ejpam-2759	453	7	system	system	NOUN
ejpam-2759	453	8	.	.	PUNCT
ejpam-2759	454	1	institut	institut	PROPN
ejpam-2759	454	2	nationale	nationale	PROPN
ejpam-2759	454	3	de	de	X
ejpam-2759	454	4	recherche	recherche	X
ejpam-2759	454	5	en	en	X
ejpam-2759	454	6	informatique	informatique	PROPN
ejpam-2759	454	7	et	et	PROPN
ejpam-2759	454	8	automatique	automatique	PROPN
ejpam-2759	454	9	,	,	PUNCT
ejpam-2759	454	10	2048:111	2048:111	NUM
ejpam-2759	454	11	–	–	PUNCT
ejpam-2759	454	12	149	149	NUM
ejpam-2759	454	13	,	,	PUNCT
ejpam-2759	454	14	1993	1993	NUM
ejpam-2759	454	15	.	.	PUNCT
ejpam-2759	455	1	[	[	X
ejpam-2759	455	2	9	9	NUM
ejpam-2759	455	3	]	]	X
ejpam-2759	455	4	g.	g.	PROPN
ejpam-2759	455	5	karp	karp	PROPN
ejpam-2759	455	6	.	.	PUNCT
ejpam-2759	455	7	cell	cell	NOUN
ejpam-2759	455	8	and	and	CCONJ
ejpam-2759	455	9	molecular	molecular	ADJ
ejpam-2759	455	10	biology	biology	NOUN
ejpam-2759	455	11	:	:	PUNCT
ejpam-2759	455	12	concepts	concept	NOUN
ejpam-2759	455	13	and	and	CCONJ
ejpam-2759	455	14	experiments	experiment	NOUN
ejpam-2759	455	15	.	.	PUNCT
ejpam-2759	456	1	john	john	PROPN
ejpam-2759	456	2	wiley	wiley	PROPN
ejpam-2759	456	3	&	&	CCONJ
ejpam-2759	456	4	sons	sons	PROPN
ejpam-2759	456	5	,	,	PUNCT
ejpam-2759	456	6	oct	oct	PROPN
ejpam-2759	456	7	19	19	NUM
ejpam-2759	456	8	,	,	PUNCT
ejpam-2759	456	9	2009	2009	NUM
ejpam-2759	456	10	.	.	PUNCT
ejpam-2759	457	1	[	[	X
ejpam-2759	457	2	10	10	NUM
ejpam-2759	457	3	]	]	X
ejpam-2759	457	4	n.	n.	PROPN
ejpam-2759	457	5	lakshminarayanaih	lakshminarayanaih	PROPN
ejpam-2759	457	6	.	.	PUNCT
ejpam-2759	458	1	transport	transport	NOUN
ejpam-2759	458	2	phenomena	phenomenon	NOUN
ejpam-2759	458	3	in	in	ADP
ejpam-2759	458	4	membranes	membrane	NOUN
ejpam-2759	458	5	.	.	PUNCT
ejpam-2759	459	1	academic	academic	ADJ
ejpam-2759	459	2	press	press	NOUN
ejpam-2759	459	3	,	,	PUNCT
ejpam-2759	459	4	new	new	PROPN
ejpam-2759	459	5	york	york	PROPN
ejpam-2759	459	6	,	,	PUNCT
ejpam-2759	459	7	1969	1969	NUM
ejpam-2759	459	8	.	.	PUNCT
ejpam-2759	460	1	[	[	X
ejpam-2759	460	2	11	11	NUM
ejpam-2759	460	3	]	]	X
ejpam-2759	460	4	n.	n.	PROPN
ejpam-2759	460	5	lakshminarayanaih	lakshminarayanaih	PROPN
ejpam-2759	460	6	.	.	PUNCT
ejpam-2759	461	1	equations	equation	NOUN
ejpam-2759	461	2	of	of	ADP
ejpam-2759	461	3	membrane	membrane	NOUN
ejpam-2759	461	4	biophysics	biophysic	NOUN
ejpam-2759	461	5	.	.	PUNCT
ejpam-2759	462	1	academic	academic	ADJ
ejpam-2759	462	2	press	press	PROPN
ejpam-2759	462	3	,	,	PUNCT
ejpam-2759	462	4	inc	inc	PROPN
ejpam-2759	462	5	,	,	PUNCT
ejpam-2759	462	6	1984	1984	NUM
ejpam-2759	462	7	.	.	PUNCT
ejpam-2759	463	1	[	[	X
ejpam-2759	463	2	12	12	NUM
ejpam-2759	463	3	]	]	X
ejpam-2759	463	4	m.c.mackey	m.c.mackey	NOUN
ejpam-2759	463	5	.	.	PUNCT
ejpam-2759	463	6	ion	ion	NOUN
ejpam-2759	463	7	transport	transport	NOUN
ejpam-2759	463	8	through	through	ADP
ejpam-2759	463	9	biological	biological	ADJ
ejpam-2759	463	10	membranes	membrane	NOUN
ejpam-2759	463	11	.	.	PUNCT
ejpam-2759	464	1	lecture	lecture	NOUN
ejpam-2759	464	2	notes	note	NOUN
ejpam-2759	464	3	in	in	ADP
ejpam-2759	464	4	biomathematics	biomathematic	NOUN
ejpam-2759	464	5	,	,	PUNCT
ejpam-2759	464	6	7	7	NUM
ejpam-2759	464	7	,	,	PUNCT
ejpam-2759	464	8	springer	springer	NOUN
ejpam-2759	464	9	verlag	verlag	PROPN
ejpam-2759	464	10	,	,	PUNCT
ejpam-2759	464	11	berli	berli	NOUN
ejpam-2759	464	12	,	,	PUNCT
ejpam-2759	464	13	1975	1975	NUM
ejpam-2759	464	14	.	.	PUNCT
ejpam-2759	465	1	[	[	X
ejpam-2759	465	2	13	13	NUM
ejpam-2759	465	3	]	]	PUNCT
ejpam-2759	465	4	a.	a.	NOUN
ejpam-2759	465	5	mouida	mouida	PROPN
ejpam-2759	465	6	,	,	PUNCT
ejpam-2759	465	7	n.alaa	n.alaa	PROPN
ejpam-2759	465	8	,	,	PUNCT
ejpam-2759	465	9	w.	w.	PROPN
ejpam-2759	465	10	bouarifi	bouarifi	PROPN
ejpam-2759	465	11	,	,	PUNCT
ejpam-2759	465	12	and	and	CCONJ
ejpam-2759	465	13	s.	s.	PROPN
ejpam-2759	465	14	mesbahi	mesbahi	PROPN
ejpam-2759	465	15	.	.	PUNCT
ejpam-2759	466	1	existence	existence	NOUN
ejpam-2759	466	2	result	result	VERB
ejpam-2759	466	3	for	for	ADP
ejpam-2759	466	4	quasilinear	quasilinear	PROPN
ejpam-2759	466	5	elliptic	elliptic	ADJ
ejpam-2759	466	6	degenerate	degenerate	ADJ
ejpam-2759	466	7	systems	system	NOUN
ejpam-2759	466	8	with	with	ADP
ejpam-2759	466	9	non	non	ADJ
ejpam-2759	466	10	linearity	linearity	NOUN
ejpam-2759	466	11	in	in	ADP
ejpam-2759	466	12	the	the	DET
ejpam-2759	466	13	gradient	gradient	NOUN
ejpam-2759	466	14	and	and	CCONJ
ejpam-2759	466	15	l1	l1	PROPN
ejpam-2759	466	16	data	data	PROPN
ejpam-2759	466	17	.	.	PUNCT
ejpam-2759	467	1	electronic	electronic	ADJ
ejpam-2759	467	2	journal	journal	NOUN
ejpam-2759	467	3	of	of	ADP
ejpam-2759	467	4	differential	differential	ADJ
ejpam-2759	467	5	equations	equation	NOUN
ejpam-2759	467	6	,	,	PUNCT
ejpam-2759	467	7	2013(142):1–13	2013(142):1–13	NUM
ejpam-2759	467	8	,	,	PUNCT
ejpam-2759	467	9	2013	2013	NUM
ejpam-2759	467	10	.	.	PUNCT
ejpam-2759	468	1	[	[	X
ejpam-2759	468	2	14	14	NUM
ejpam-2759	468	3	]	]	X
ejpam-2759	468	4	n.alaa	n.alaa	PROPN
ejpam-2759	468	5	,	,	PUNCT
ejpam-2759	468	6	w.	w.	PROPN
ejpam-2759	468	7	bouarifi	bouarifi	PROPN
ejpam-2759	468	8	,	,	PUNCT
ejpam-2759	468	9	and	and	CCONJ
ejpam-2759	468	10	d.	d.	PROPN
ejpam-2759	468	11	bensikaddour	bensikaddour	PROPN
ejpam-2759	468	12	.	.	PUNCT
ejpam-2759	469	1	image	image	NOUN
ejpam-2759	469	2	restoration	restoration	NOUN
ejpam-2759	469	3	using	use	VERB
ejpam-2759	469	4	a	a	DET
ejpam-2759	469	5	reactiondiffusion	reactiondiffusion	NOUN
ejpam-2759	469	6	process	process	NOUN
ejpam-2759	469	7	restoration	restoration	NOUN
ejpam-2759	469	8	.	.	PUNCT
ejpam-2759	470	1	electronic	electronic	ADJ
ejpam-2759	470	2	journal	journal	NOUN
ejpam-2759	470	3	of	of	ADP
ejpam-2759	470	4	differential	differential	ADJ
ejpam-2759	470	5	equations	equation	NOUN
ejpam-2759	470	6	,	,	PUNCT
ejpam-2759	470	7	2014(197):1–12	2014(197):1–12	NUM
ejpam-2759	470	8	,	,	PUNCT
ejpam-2759	470	9	2014	2014	NUM
ejpam-2759	470	10	.	.	PUNCT
ejpam-2759	471	1	[	[	X
ejpam-2759	471	2	15	15	NUM
ejpam-2759	471	3	]	]	X
ejpam-2759	471	4	n.alaa	n.alaa	NOUN
ejpam-2759	471	5	and	and	CCONJ
ejpam-2759	471	6	h.lefraich	h.lefraich	PRON
ejpam-2759	471	7	.	.	PUNCT
ejpam-2759	472	1	mathematical	mathematical	ADJ
ejpam-2759	472	2	analysis	analysis	NOUN
ejpam-2759	472	3	of	of	ADP
ejpam-2759	472	4	a	a	DET
ejpam-2759	472	5	system	system	NOUN
ejpam-2759	472	6	modeling	model	VERB
ejpam-2759	472	7	ions	ion	NOUN
ejpam-2759	472	8	electro	electro	VERB
ejpam-2759	472	9	migration	migration	NOUN
ejpam-2759	472	10	through	through	ADP
ejpam-2759	472	11	biological	biological	ADJ
ejpam-2759	472	12	membranes	membrane	NOUN
ejpam-2759	472	13	.	.	PUNCT
ejpam-2759	473	1	applied	apply	VERB
ejpam-2759	473	2	mathematical	mathematical	ADJ
ejpam-2759	473	3	sciences	science	NOUN
ejpam-2759	473	4	,	,	PUNCT
ejpam-2759	473	5	6:2091	6:2091	NUM
ejpam-2759	473	6	–	–	PUNCT
ejpam-2759	473	7	2110	2110	NUM
ejpam-2759	473	8	,	,	PUNCT
ejpam-2759	473	9	2012	2012	NUM
ejpam-2759	473	10	.	.	PUNCT
ejpam-2759	474	1	[	[	X
ejpam-2759	474	2	16	16	NUM
ejpam-2759	474	3	]	]	PUNCT
ejpam-2759	474	4	m.	m.	NOUN
ejpam-2759	474	5	pierre	pierre	PROPN
ejpam-2759	474	6	.	.	PUNCT
ejpam-2759	475	1	weak	weak	ADJ
ejpam-2759	475	2	solutions	solution	NOUN
ejpam-2759	475	3	and	and	CCONJ
ejpam-2759	475	4	supersolutions	supersolution	NOUN
ejpam-2759	475	5	in	in	ADP
ejpam-2759	475	6	l1	l1	PROPN
ejpam-2759	475	7	for	for	ADP
ejpam-2759	475	8	reaction	reaction	NOUN
ejpam-2759	475	9	-	-	PUNCT
ejpam-2759	475	10	diffusion	diffusion	NOUN
ejpam-2759	475	11	systems	system	NOUN
ejpam-2759	475	12	.	.	PUNCT
ejpam-2759	476	1	j.	j.	PROPN
ejpam-2759	476	2	evolution	evolution	PROPN
ejpam-2759	476	3	equations	equations	PROPN
ejpam-2759	476	4	,	,	PUNCT
ejpam-2759	476	5	3:153–168	3:153–168	NUM
ejpam-2759	476	6	,	,	PUNCT
ejpam-2759	476	7	2003	2003	NUM
ejpam-2759	476	8	.	.	PUNCT
ejpam-2759	477	1	[	[	X
ejpam-2759	477	2	17	17	NUM
ejpam-2759	477	3	]	]	PUNCT
ejpam-2759	477	4	m.	m.	NOUN
ejpam-2759	477	5	pierre	pierre	NOUN
ejpam-2759	477	6	and	and	CCONJ
ejpam-2759	477	7	p.	p.	PROPN
ejpam-2759	477	8	baras	baras	PROPN
ejpam-2759	477	9	.	.	PROPN
ejpam-2759	477	10	problèmes	problèmes	PROPN
ejpam-2759	477	11	paraboliques	parabolique	VERB
ejpam-2759	477	12	semi	semi	ADJ
ejpam-2759	477	13	-	-	NOUN
ejpam-2759	477	14	linéres	linére	NOUN
ejpam-2759	477	15	avec	avec	PROPN
ejpam-2759	477	16	données	données	PROPN
ejpam-2759	477	17	initiales	initial	VERB
ejpam-2759	477	18	mesures	mesure	NOUN
ejpam-2759	477	19	.	.	PUNCT
ejpam-2759	478	1	applicable	applicable	ADJ
ejpam-2759	478	2	analysis	analysis	NOUN
ejpam-2759	478	3	,	,	PUNCT
ejpam-2759	478	4	18:111–149	18:111–149	NUM
ejpam-2759	478	5	,	,	PUNCT
ejpam-2759	478	6	1984	1984	NUM
ejpam-2759	478	7	.	.	PUNCT
ejpam-2759	479	1	[	[	X
ejpam-2759	479	2	18	18	NUM
ejpam-2759	479	3	]	]	PUNCT
ejpam-2759	479	4	m.	m.	NOUN
ejpam-2759	479	5	schmuck	schmuck	NOUN
ejpam-2759	479	6	and	and	CCONJ
ejpam-2759	479	7	m.	m.	NOUN
ejpam-2759	479	8	z.	z.	PROPN
ejpam-2759	479	9	bazant	bazant	PROPN
ejpam-2759	479	10	.	.	PUNCT
ejpam-2759	480	1	homogeneization	homogeneization	NOUN
ejpam-2759	480	2	of	of	ADP
ejpam-2759	480	3	the	the	DET
ejpam-2759	480	4	poisson	poisson	NOUN
ejpam-2759	480	5	nernst	nernst	PROPN
ejpam-2759	480	6	planck	planck	PROPN
ejpam-2759	480	7	equations	equation	NOUN
ejpam-2759	480	8	for	for	ADP
ejpam-2759	480	9	ion	ion	NOUN
ejpam-2759	480	10	transport	transport	NOUN
ejpam-2759	480	11	in	in	ADP
ejpam-2759	480	12	charged	charge	VERB
ejpam-2759	480	13	porous	porous	ADJ
ejpam-2759	480	14	media	medium	NOUN
ejpam-2759	480	15	.	.	PUNCT
ejpam-2759	481	1	siam	siam	PROPN
ejpam-2759	481	2	j.	j.	PROPN
ejpam-2759	481	3	appl	appl	PROPN
ejpam-2759	481	4	.	.	PROPN
ejpam-2759	481	5	math	math	PROPN
ejpam-2759	481	6	,	,	PUNCT
ejpam-2759	481	7	75(3):1369–1401	75(3):1369–1401	NOUN
ejpam-2759	481	8	,	,	PUNCT
ejpam-2759	481	9	2015	2015	NUM
ejpam-2759	481	10	.	.	PUNCT
ejpam-2759	482	1	[	[	X
ejpam-2759	482	2	19	19	NUM
ejpam-2759	482	3	]	]	X
ejpam-2759	482	4	c.	c.	PROPN
ejpam-2759	482	5	walsh	walsh	PROPN
ejpam-2759	482	6	,	,	PUNCT
ejpam-2759	482	7	t.	t.	PROPN
ejpam-2759	482	8	cromartie	cromartie	PROPN
ejpam-2759	482	9	,	,	PUNCT
ejpam-2759	482	10	p.	p.	NOUN
ejpam-2759	482	11	marcotte	marcotte	PROPN
ejpam-2759	482	12	,	,	PUNCT
ejpam-2759	482	13	and	and	CCONJ
ejpam-2759	482	14	r.	r.	PROPN
ejpam-2759	482	15	spencer	spencer	PROPN
ejpam-2759	482	16	.	.	PUNCT
ejpam-2759	483	1	methods	method	NOUN
ejpam-2759	483	2	enzymol	enzymol	PROPN
ejpam-2759	483	3	.	.	PUNCT
ejpam-2759	484	1	annals	annal	NOUN
ejpam-2759	484	2	of	of	ADP
ejpam-2759	484	3	physics	physics	NOUN
ejpam-2759	484	4	.	.	PUNCT
ejpam-2759	485	1	53	53	NUM
ejpam-2759	485	2	,	,	PUNCT
ejpam-2759	485	3	(	(	PUNCT
ejpam-2759	485	4	437	437	NUM
ejpam-2759	485	5	)	)	PUNCT
ejpam-2759	485	6	,	,	PUNCT
ejpam-2759	485	7	1978	1978	NUM
ejpam-2759	485	8	.	.	PUNCT