id	sid	tid	token	lemma	pos
ejpam-2465	1	1	compile	compile	NOUN
ejpam-2465	1	2	/	/	SYM
ejpam-2465	1	3	output.dvi	output.dvi	NOUN
ejpam-2465	1	4	european	european	ADJ
ejpam-2465	1	5	journal	journal	NOUN
ejpam-2465	1	6	of	of	ADP
ejpam-2465	1	7	pure	pure	ADJ
ejpam-2465	1	8	and	and	CCONJ
ejpam-2465	1	9	applied	apply	VERB
ejpam-2465	1	10	mathematics	mathematic	NOUN
ejpam-2465	1	11	vol	vol	NOUN
ejpam-2465	1	12	.	.	PROPN
ejpam-2465	1	13	8	8	NUM
ejpam-2465	1	14	,	,	PUNCT
ejpam-2465	1	15	no	no	INTJ
ejpam-2465	1	16	.	.	NOUN
ejpam-2465	1	17	4	4	NUM
ejpam-2465	1	18	,	,	PUNCT
ejpam-2465	1	19	2015	2015	NUM
ejpam-2465	1	20	,	,	PUNCT
ejpam-2465	1	21	478	478	NUM
ejpam-2465	1	22	-	-	SYM
ejpam-2465	1	23	498	498	NUM
ejpam-2465	1	24	issn	issn	PROPN
ejpam-2465	1	25	1307	1307	NUM
ejpam-2465	1	26	-	-	SYM
ejpam-2465	1	27	5543	5543	NUM
ejpam-2465	1	28	–	–	PUNCT
ejpam-2465	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2465	1	30	existence	existence	NOUN
ejpam-2465	1	31	and	and	CCONJ
ejpam-2465	1	32	uniqueness	uniqueness	NOUN
ejpam-2465	1	33	of	of	ADP
ejpam-2465	1	34	mittag	mittag	ADJ
ejpam-2465	1	35	-	-	PUNCT
ejpam-2465	1	36	leffler	leffler	NOUN
ejpam-2465	1	37	-	-	PUNCT
ejpam-2465	1	38	ulam	ulam	NOUN
ejpam-2465	1	39	stable	stable	ADJ
ejpam-2465	1	40	solution	solution	NOUN
ejpam-2465	1	41	for	for	ADP
ejpam-2465	1	42	fractional	fractional	ADJ
ejpam-2465	1	43	integrodifferential	integrodifferential	ADJ
ejpam-2465	1	44	equations	equation	NOUN
ejpam-2465	1	45	with	with	ADP
ejpam-2465	1	46	nonlocal	nonlocal	ADJ
ejpam-2465	1	47	initial	initial	ADJ
ejpam-2465	1	48	conditions	condition	NOUN
ejpam-2465	1	49	mohamed	mohamed	PROPN
ejpam-2465	1	50	i.	i.	PROPN
ejpam-2465	1	51	abbas	abbas	PROPN
ejpam-2465	1	52	department	department	PROPN
ejpam-2465	1	53	of	of	ADP
ejpam-2465	1	54	mathematics	mathematics	PROPN
ejpam-2465	1	55	and	and	CCONJ
ejpam-2465	1	56	computer	computer	NOUN
ejpam-2465	1	57	science	science	NOUN
ejpam-2465	1	58	,	,	PUNCT
ejpam-2465	1	59	faculty	faculty	NOUN
ejpam-2465	1	60	of	of	ADP
ejpam-2465	1	61	science	science	NOUN
ejpam-2465	1	62	,	,	PUNCT
ejpam-2465	1	63	alexandria	alexandria	PROPN
ejpam-2465	1	64	university	university	PROPN
ejpam-2465	1	65	,	,	PUNCT
ejpam-2465	1	66	alexandria	alexandria	PROPN
ejpam-2465	1	67	21511	21511	NUM
ejpam-2465	1	68	,	,	PUNCT
ejpam-2465	1	69	egypt	egypt	PROPN
ejpam-2465	1	70	abstract	abstract	PROPN
ejpam-2465	1	71	.	.	PUNCT
ejpam-2465	2	1	in	in	ADP
ejpam-2465	2	2	this	this	DET
ejpam-2465	2	3	paper	paper	NOUN
ejpam-2465	2	4	,	,	PUNCT
ejpam-2465	2	5	the	the	DET
ejpam-2465	2	6	existence	existence	NOUN
ejpam-2465	2	7	and	and	CCONJ
ejpam-2465	2	8	uniqueness	uniqueness	NOUN
ejpam-2465	2	9	of	of	ADP
ejpam-2465	2	10	mild	mild	ADJ
ejpam-2465	2	11	solution	solution	NOUN
ejpam-2465	2	12	for	for	ADP
ejpam-2465	2	13	fractional	fractional	ADJ
ejpam-2465	2	14	integrodifferential	integrodifferential	ADJ
ejpam-2465	2	15	equations	equation	NOUN
ejpam-2465	2	16	with	with	ADP
ejpam-2465	2	17	nonlocal	nonlocal	ADJ
ejpam-2465	2	18	initial	initial	ADJ
ejpam-2465	2	19	conditions	condition	NOUN
ejpam-2465	2	20	are	be	AUX
ejpam-2465	2	21	investigated	investigate	VERB
ejpam-2465	2	22	by	by	ADP
ejpam-2465	2	23	using	use	VERB
ejpam-2465	2	24	hölder	hölder	PROPN
ejpam-2465	2	25	’s	’s	PART
ejpam-2465	2	26	inequality	inequality	NOUN
ejpam-2465	2	27	,	,	PUNCT
ejpam-2465	2	28	p−mean	p−mean	ADJ
ejpam-2465	2	29	continuity	continuity	NOUN
ejpam-2465	2	30	and	and	CCONJ
ejpam-2465	2	31	schauder	schauder	NOUN
ejpam-2465	2	32	’s	’s	PART
ejpam-2465	2	33	fixed	fix	VERB
ejpam-2465	2	34	point	point	NOUN
ejpam-2465	2	35	theorem	theorem	VERB
ejpam-2465	2	36	in	in	ADP
ejpam-2465	2	37	banach	banach	NOUN
ejpam-2465	2	38	spaces	space	NOUN
ejpam-2465	2	39	.	.	PUNCT
ejpam-2465	3	1	the	the	DET
ejpam-2465	3	2	mittag	mittag	ADJ
ejpam-2465	3	3	-	-	PUNCT
ejpam-2465	3	4	leffler	leffler	NOUN
ejpam-2465	3	5	-	-	PUNCT
ejpam-2465	3	6	ulam	ulam	NOUN
ejpam-2465	3	7	stability	stability	NOUN
ejpam-2465	3	8	results	result	NOUN
ejpam-2465	3	9	are	be	AUX
ejpam-2465	3	10	also	also	ADV
ejpam-2465	3	11	obtained	obtain	VERB
ejpam-2465	3	12	by	by	ADP
ejpam-2465	3	13	using	use	VERB
ejpam-2465	3	14	generalized	generalized	ADJ
ejpam-2465	3	15	singular	singular	NOUN
ejpam-2465	3	16	gronwall	gronwall	PROPN
ejpam-2465	3	17	’s	’s	PART
ejpam-2465	3	18	inequality	inequality	NOUN
ejpam-2465	3	19	.	.	PUNCT
ejpam-2465	4	1	2010	2010	NUM
ejpam-2465	4	2	mathematics	mathematic	NOUN
ejpam-2465	4	3	subject	subject	NOUN
ejpam-2465	4	4	classifications	classification	NOUN
ejpam-2465	4	5	:	:	PUNCT
ejpam-2465	4	6	26a33	26a33	NUM
ejpam-2465	4	7	,	,	PUNCT
ejpam-2465	4	8	34a08,34d20	34a08,34d20	NUM
ejpam-2465	4	9	,	,	PUNCT
ejpam-2465	4	10	45n05	45n05	NUM
ejpam-2465	4	11	.	.	PUNCT
ejpam-2465	5	1	key	key	ADJ
ejpam-2465	5	2	words	word	NOUN
ejpam-2465	5	3	and	and	CCONJ
ejpam-2465	5	4	phrases	phrase	NOUN
ejpam-2465	5	5	:	:	PUNCT
ejpam-2465	5	6	mild	mild	ADJ
ejpam-2465	5	7	solutions	solution	NOUN
ejpam-2465	5	8	,	,	PUNCT
ejpam-2465	5	9	hölder	hölder	PROPN
ejpam-2465	5	10	’s	’s	PART
ejpam-2465	5	11	inequality	inequality	NOUN
ejpam-2465	5	12	,	,	PUNCT
ejpam-2465	5	13	schauder	schauder	NOUN
ejpam-2465	5	14	’s	’s	PART
ejpam-2465	5	15	fixed	fix	VERB
ejpam-2465	5	16	point	point	NOUN
ejpam-2465	5	17	theorem	theorem	VERB
ejpam-2465	5	18	,	,	PUNCT
ejpam-2465	5	19	the	the	DET
ejpam-2465	5	20	mittag	mittag	ADJ
ejpam-2465	5	21	-	-	PUNCT
ejpam-2465	5	22	leffler	leffler	NOUN
ejpam-2465	5	23	-	-	PUNCT
ejpam-2465	5	24	ulam	ulam	NOUN
ejpam-2465	5	25	stability	stability	NOUN
ejpam-2465	5	26	,	,	PUNCT
ejpam-2465	5	27	generalized	generalize	VERB
ejpam-2465	5	28	singular	singular	NOUN
ejpam-2465	5	29	gronwall	gronwall	PROPN
ejpam-2465	5	30	’s	’s	PART
ejpam-2465	5	31	inequality	inequality	NOUN
ejpam-2465	5	32	.	.	PUNCT
ejpam-2465	6	1	1	1	X
ejpam-2465	6	2	.	.	X
ejpam-2465	6	3	introduction	introduction	NOUN
ejpam-2465	6	4	during	during	ADP
ejpam-2465	6	5	the	the	DET
ejpam-2465	6	6	past	past	ADJ
ejpam-2465	6	7	decades	decade	NOUN
ejpam-2465	6	8	,	,	PUNCT
ejpam-2465	6	9	fractional	fractional	ADJ
ejpam-2465	6	10	differential	differential	ADJ
ejpam-2465	6	11	equations	equation	NOUN
ejpam-2465	6	12	have	have	AUX
ejpam-2465	6	13	attracted	attract	VERB
ejpam-2465	6	14	many	many	ADJ
ejpam-2465	6	15	authors	author	NOUN
ejpam-2465	6	16	(	(	PUNCT
ejpam-2465	6	17	see	see	VERB
ejpam-2465	6	18	for	for	ADP
ejpam-2465	6	19	instance	instance	NOUN
ejpam-2465	6	20	[	[	X
ejpam-2465	6	21	10	10	NUM
ejpam-2465	6	22	,	,	PUNCT
ejpam-2465	6	23	11	11	NUM
ejpam-2465	6	24	,	,	PUNCT
ejpam-2465	6	25	14	14	NUM
ejpam-2465	6	26	]	]	PUNCT
ejpam-2465	6	27	and	and	CCONJ
ejpam-2465	6	28	[	[	X
ejpam-2465	6	29	15	15	NUM
ejpam-2465	6	30	]	]	NUM
ejpam-2465	6	31	)	)	PUNCT
ejpam-2465	6	32	.	.	PUNCT
ejpam-2465	7	1	this	this	PRON
ejpam-2465	7	2	is	be	AUX
ejpam-2465	7	3	mostly	mostly	ADV
ejpam-2465	7	4	because	because	SCONJ
ejpam-2465	7	5	they	they	PRON
ejpam-2465	7	6	efficiently	efficiently	ADV
ejpam-2465	7	7	describe	describe	VERB
ejpam-2465	7	8	many	many	ADJ
ejpam-2465	7	9	phenomena	phenomenon	NOUN
ejpam-2465	7	10	arising	arise	VERB
ejpam-2465	7	11	in	in	ADP
ejpam-2465	7	12	engineering	engineering	NOUN
ejpam-2465	7	13	,	,	PUNCT
ejpam-2465	7	14	physics	physics	NOUN
ejpam-2465	7	15	,	,	PUNCT
ejpam-2465	7	16	economy	economy	NOUN
ejpam-2465	7	17	and	and	CCONJ
ejpam-2465	7	18	science	science	NOUN
ejpam-2465	7	19	.	.	PUNCT
ejpam-2465	8	1	there	there	PRON
ejpam-2465	8	2	has	have	AUX
ejpam-2465	8	3	been	be	AUX
ejpam-2465	8	4	a	a	DET
ejpam-2465	8	5	significant	significant	ADJ
ejpam-2465	8	6	development	development	NOUN
ejpam-2465	8	7	in	in	ADP
ejpam-2465	8	8	nonlocal	nonlocal	ADJ
ejpam-2465	8	9	problems	problem	NOUN
ejpam-2465	8	10	for	for	ADP
ejpam-2465	8	11	fractional	fractional	ADJ
ejpam-2465	8	12	differential	differential	ADJ
ejpam-2465	8	13	equations	equation	NOUN
ejpam-2465	8	14	or	or	CCONJ
ejpam-2465	8	15	inclusions	inclusion	NOUN
ejpam-2465	8	16	(	(	PUNCT
ejpam-2465	8	17	see	see	VERB
ejpam-2465	8	18	for	for	ADP
ejpam-2465	8	19	instance	instance	NOUN
ejpam-2465	8	20	[	[	X
ejpam-2465	8	21	1	1	NUM
ejpam-2465	8	22	,	,	PUNCT
ejpam-2465	8	23	7	7	NUM
ejpam-2465	8	24	,	,	PUNCT
ejpam-2465	8	25	12	12	NUM
ejpam-2465	8	26	]	]	PUNCT
ejpam-2465	8	27	and	and	CCONJ
ejpam-2465	8	28	[	[	X
ejpam-2465	8	29	22	22	NUM
ejpam-2465	8	30	]	]	PUNCT
ejpam-2465	8	31	)	)	PUNCT
ejpam-2465	8	32	.	.	PUNCT
ejpam-2465	9	1	as	as	SCONJ
ejpam-2465	9	2	we	we	PRON
ejpam-2465	9	3	all	all	PRON
ejpam-2465	9	4	know	know	VERB
ejpam-2465	9	5	,	,	PUNCT
ejpam-2465	9	6	the	the	DET
ejpam-2465	9	7	main	main	ADJ
ejpam-2465	9	8	difficulty	difficulty	NOUN
ejpam-2465	9	9	to	to	PART
ejpam-2465	9	10	study	study	VERB
ejpam-2465	9	11	the	the	DET
ejpam-2465	9	12	fractional	fractional	ADJ
ejpam-2465	9	13	evolution	evolution	NOUN
ejpam-2465	9	14	equations	equation	NOUN
ejpam-2465	9	15	is	be	AUX
ejpam-2465	9	16	how	how	SCONJ
ejpam-2465	9	17	to	to	PART
ejpam-2465	9	18	obtain	obtain	VERB
ejpam-2465	9	19	the	the	DET
ejpam-2465	9	20	suitable	suitable	ADJ
ejpam-2465	9	21	fractional	fractional	ADJ
ejpam-2465	9	22	resolvent	resolvent	ADJ
ejpam-2465	9	23	family	family	NOUN
ejpam-2465	9	24	generated	generate	VERB
ejpam-2465	9	25	by	by	ADP
ejpam-2465	9	26	the	the	DET
ejpam-2465	9	27	infinitesimal	infinitesimal	ADJ
ejpam-2465	9	28	generator	generator	NOUN
ejpam-2465	9	29	a	a	PRON
ejpam-2465	9	30	in	in	ADP
ejpam-2465	9	31	banach	banach	NOUN
ejpam-2465	9	32	space	space	NOUN
ejpam-2465	9	33	.	.	PUNCT
ejpam-2465	10	1	in	in	ADP
ejpam-2465	10	2	order	order	NOUN
ejpam-2465	10	3	to	to	PART
ejpam-2465	10	4	solve	solve	VERB
ejpam-2465	10	5	this	this	DET
ejpam-2465	10	6	problem	problem	NOUN
ejpam-2465	10	7	,	,	PUNCT
ejpam-2465	10	8	some	some	DET
ejpam-2465	10	9	authors	author	NOUN
ejpam-2465	10	10	introduced	introduce	VERB
ejpam-2465	10	11	an	an	DET
ejpam-2465	10	12	α	α	NUM
ejpam-2465	10	13	-	-	ADJ
ejpam-2465	10	14	resolvent	resolvent	ADJ
ejpam-2465	10	15	family	family	NOUN
ejpam-2465	10	16	under	under	ADP
ejpam-2465	10	17	the	the	DET
ejpam-2465	10	18	riemann	riemann	PROPN
ejpam-2465	10	19	-	-	PUNCT
ejpam-2465	10	20	liouville	liouville	VERB
ejpam-2465	10	21	fractional	fractional	ADJ
ejpam-2465	10	22	derivative	derivative	NOUN
ejpam-2465	10	23	and	and	CCONJ
ejpam-2465	10	24	some	some	DET
ejpam-2465	10	25	constraints	constraint	NOUN
ejpam-2465	10	26	,	,	PUNCT
ejpam-2465	10	27	(	(	PUNCT
ejpam-2465	10	28	see	see	VERB
ejpam-2465	10	29	,	,	PUNCT
ejpam-2465	10	30	for	for	ADP
ejpam-2465	10	31	example	example	NOUN
ejpam-2465	10	32	,	,	PUNCT
ejpam-2465	10	33	[	[	X
ejpam-2465	10	34	2	2	NUM
ejpam-2465	10	35	,	,	PUNCT
ejpam-2465	10	36	6	6	NUM
ejpam-2465	10	37	]	]	NUM
ejpam-2465	10	38	)	)	PUNCT
ejpam-2465	10	39	,	,	PUNCT
ejpam-2465	10	40	and	and	CCONJ
ejpam-2465	10	41	the	the	DET
ejpam-2465	10	42	others	other	NOUN
ejpam-2465	10	43	introduced	introduce	VERB
ejpam-2465	10	44	suitable	suitable	ADJ
ejpam-2465	10	45	operator	operator	NOUN
ejpam-2465	10	46	families	family	NOUN
ejpam-2465	10	47	with	with	ADP
ejpam-2465	10	48	the	the	DET
ejpam-2465	10	49	caputo	caputo	PROPN
ejpam-2465	10	50	fractional	fractional	PROPN
ejpam-2465	10	51	derivative	derivative	NOUN
ejpam-2465	10	52	in	in	ADP
ejpam-2465	10	53	terms	term	NOUN
ejpam-2465	10	54	of	of	ADP
ejpam-2465	10	55	some	some	DET
ejpam-2465	10	56	probability	probability	NOUN
ejpam-2465	10	57	density	density	NOUN
ejpam-2465	10	58	functions	function	NOUN
ejpam-2465	10	59	and	and	CCONJ
ejpam-2465	10	60	operator	operator	NOUN
ejpam-2465	10	61	semigroup	semigroup	NOUN
ejpam-2465	10	62	(	(	PUNCT
ejpam-2465	10	63	see	see	VERB
ejpam-2465	10	64	,	,	PUNCT
ejpam-2465	10	65	for	for	ADP
ejpam-2465	10	66	example	example	NOUN
ejpam-2465	10	67	,	,	PUNCT
ejpam-2465	10	68	[	[	X
ejpam-2465	10	69	17	17	NUM
ejpam-2465	10	70	,	,	PUNCT
ejpam-2465	10	71	22	22	NUM
ejpam-2465	10	72	]	]	PUNCT
ejpam-2465	10	73	and	and	CCONJ
ejpam-2465	10	74	[	[	X
ejpam-2465	10	75	23	23	NUM
ejpam-2465	10	76	]	]	PUNCT
ejpam-2465	10	77	)	)	PUNCT
ejpam-2465	10	78	.	.	PUNCT
ejpam-2465	11	1	for	for	ADP
ejpam-2465	11	2	the	the	DET
ejpam-2465	11	3	latter	latter	ADJ
ejpam-2465	11	4	,	,	PUNCT
ejpam-2465	11	5	a	a	DET
ejpam-2465	11	6	pioneering	pioneering	ADJ
ejpam-2465	11	7	work	work	NOUN
ejpam-2465	11	8	has	have	AUX
ejpam-2465	11	9	been	be	AUX
ejpam-2465	11	10	reported	report	VERB
ejpam-2465	11	11	by	by	ADP
ejpam-2465	11	12	el	el	PROPN
ejpam-2465	11	13	-	-	PUNCT
ejpam-2465	11	14	borai	borai	NOUN
ejpam-2465	12	1	[	[	X
ejpam-2465	12	2	4	4	NUM
ejpam-2465	12	3	,	,	PUNCT
ejpam-2465	12	4	5	5	NUM
ejpam-2465	12	5	]	]	PUNCT
ejpam-2465	12	6	.	.	PUNCT
ejpam-2465	13	1	on	on	ADP
ejpam-2465	13	2	the	the	DET
ejpam-2465	13	3	other	other	ADJ
ejpam-2465	13	4	hand	hand	NOUN
ejpam-2465	13	5	,	,	PUNCT
ejpam-2465	13	6	in	in	ADP
ejpam-2465	13	7	the	the	DET
ejpam-2465	13	8	theory	theory	NOUN
ejpam-2465	13	9	of	of	ADP
ejpam-2465	13	10	functional	functional	ADJ
ejpam-2465	13	11	equations	equation	NOUN
ejpam-2465	13	12	there	there	PRON
ejpam-2465	13	13	are	be	VERB
ejpam-2465	13	14	some	some	DET
ejpam-2465	13	15	special	special	ADJ
ejpam-2465	13	16	kind	kind	NOUN
ejpam-2465	13	17	of	of	ADP
ejpam-2465	13	18	data	data	NOUN
ejpam-2465	13	19	dependence	dependence	NOUN
ejpam-2465	13	20	:	:	PUNCT
ejpam-2465	13	21	ulam	ulam	PROPN
ejpam-2465	13	22	-	-	PUNCT
ejpam-2465	13	23	hyers	hyers	PROPN
ejpam-2465	13	24	,	,	PUNCT
ejpam-2465	13	25	ulam	ulam	PROPN
ejpam-2465	13	26	-	-	PUNCT
ejpam-2465	13	27	hyers	hyer	NOUN
ejpam-2465	13	28	-	-	PUNCT
ejpam-2465	13	29	rassias	rassias	PROPN
ejpam-2465	13	30	,	,	PUNCT
ejpam-2465	13	31	ulam	ulam	PROPN
ejpam-2465	13	32	-	-	PUNCT
ejpam-2465	13	33	hyers	hyer	NOUN
ejpam-2465	13	34	-	-	PUNCT
ejpam-2465	13	35	bourgin	bourgin	ADJ
ejpam-2465	13	36	and	and	CCONJ
ejpam-2465	13	37	aoki	aoki	PROPN
ejpam-2465	13	38	-	-	PUNCT
ejpam-2465	13	39	rassias	rassias	PROPN
ejpam-2465	13	40	(	(	PUNCT
ejpam-2465	13	41	see	see	VERB
ejpam-2465	13	42	[	[	X
ejpam-2465	13	43	3	3	NUM
ejpam-2465	13	44	,	,	PUNCT
ejpam-2465	13	45	email	email	NOUN
ejpam-2465	13	46	address	address	NOUN
ejpam-2465	13	47	:	:	PUNCT
ejpam-2465	13	48	miabbas77@gmail.com	miabbas77@gmail.com	X
ejpam-2465	13	49	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2465	13	50	478	478	NUM
ejpam-2465	13	51	c	c	X
ejpam-2465	13	52	©	©	PROPN
ejpam-2465	13	53	2015	2015	NUM
ejpam-2465	13	54	ejpam	ejpam	NOUN
ejpam-2465	13	55	all	all	DET
ejpam-2465	13	56	rights	right	NOUN
ejpam-2465	13	57	reserved	reserve	VERB
ejpam-2465	13	58	.	.	PUNCT
ejpam-2465	14	1	m.	m.	NOUN
ejpam-2465	14	2	abbas	abbas	PROPN
ejpam-2465	14	3	/	/	SYM
ejpam-2465	14	4	eur	eur	PROPN
ejpam-2465	14	5	.	.	PUNCT
ejpam-2465	15	1	j.	j.	PROPN
ejpam-2465	15	2	pure	pure	PROPN
ejpam-2465	15	3	appl	appl	PROPN
ejpam-2465	15	4	.	.	PROPN
ejpam-2465	15	5	math	math	PROPN
ejpam-2465	15	6	,	,	PUNCT
ejpam-2465	15	7	8	8	NUM
ejpam-2465	15	8	(	(	PUNCT
ejpam-2465	15	9	2015	2015	NUM
ejpam-2465	15	10	)	)	PUNCT
ejpam-2465	15	11	,	,	PUNCT
ejpam-2465	15	12	478	478	NUM
ejpam-2465	15	13	-	-	SYM
ejpam-2465	15	14	498	498	NUM
ejpam-2465	15	15	479	479	NUM
ejpam-2465	15	16	8	8	NUM
ejpam-2465	15	17	]	]	PUNCT
ejpam-2465	15	18	and	and	CCONJ
ejpam-2465	15	19	[	[	X
ejpam-2465	15	20	9	9	NUM
ejpam-2465	15	21	]	]	PUNCT
ejpam-2465	15	22	)	)	PUNCT
ejpam-2465	15	23	.	.	PUNCT
ejpam-2465	16	1	recently	recently	ADV
ejpam-2465	16	2	,	,	PUNCT
ejpam-2465	16	3	j.	j.	PROPN
ejpam-2465	16	4	wang	wang	PROPN
ejpam-2465	16	5	et	et	PROPN
ejpam-2465	16	6	al	al	PROPN
ejpam-2465	16	7	.	.	PUNCT
ejpam-2465	17	1	[	[	X
ejpam-2465	17	2	18	18	NUM
ejpam-2465	17	3	,	,	PUNCT
ejpam-2465	17	4	19	19	NUM
ejpam-2465	17	5	]	]	PUNCT
ejpam-2465	17	6	discussed	discuss	VERB
ejpam-2465	17	7	four	four	NUM
ejpam-2465	17	8	type	type	NOUN
ejpam-2465	17	9	mittagleffler	mittagleffler	NOUN
ejpam-2465	17	10	-	-	PUNCT
ejpam-2465	17	11	ulam	ulam	NOUN
ejpam-2465	17	12	stability	stability	NOUN
ejpam-2465	17	13	of	of	ADP
ejpam-2465	17	14	fractional	fractional	ADJ
ejpam-2465	17	15	differential	differential	ADJ
ejpam-2465	17	16	equations	equation	NOUN
ejpam-2465	17	17	and	and	CCONJ
ejpam-2465	17	18	obtained	obtain	VERB
ejpam-2465	17	19	some	some	DET
ejpam-2465	17	20	new	new	ADJ
ejpam-2465	17	21	and	and	CCONJ
ejpam-2465	17	22	interesting	interesting	ADJ
ejpam-2465	17	23	stability	stability	NOUN
ejpam-2465	17	24	results	result	NOUN
ejpam-2465	17	25	.	.	PUNCT
ejpam-2465	18	1	motivated	motivate	VERB
ejpam-2465	18	2	by	by	ADP
ejpam-2465	18	3	the	the	DET
ejpam-2465	18	4	above	above	ADJ
ejpam-2465	18	5	work	work	NOUN
ejpam-2465	18	6	,	,	PUNCT
ejpam-2465	18	7	we	we	PRON
ejpam-2465	18	8	consider	consider	VERB
ejpam-2465	18	9	the	the	DET
ejpam-2465	18	10	nonlocal	nonlocal	ADJ
ejpam-2465	18	11	cauchy	cauchy	ADJ
ejpam-2465	18	12	problem	problem	NOUN
ejpam-2465	18	13	of	of	ADP
ejpam-2465	18	14	the	the	DET
ejpam-2465	18	15	following	follow	VERB
ejpam-2465	18	16	form	form	NOUN
ejpam-2465	18	17	¨	¨	NOUN
ejpam-2465	18	18	c	c	NOUN
ejpam-2465	18	19	dαx(t	dαx(t	PROPN
ejpam-2465	18	20	)	)	PUNCT
ejpam-2465	18	21	=	=	PUNCT
ejpam-2465	18	22	ax(t	ax(t	NUM
ejpam-2465	18	23	)	)	PUNCT
ejpam-2465	19	1	+	+	CCONJ
ejpam-2465	19	2	f	f	X
ejpam-2465	19	3	(	(	PUNCT
ejpam-2465	19	4	t	t	PROPN
ejpam-2465	19	5	,	,	PUNCT
ejpam-2465	19	6	x(t	x(t	PROPN
ejpam-2465	19	7	)	)	PUNCT
ejpam-2465	19	8	,	,	PUNCT
ejpam-2465	19	9	iβ	iβ	ADP
ejpam-2465	19	10	x(t	x(t	PROPN
ejpam-2465	19	11	)	)	PUNCT
ejpam-2465	19	12	)	)	PUNCT
ejpam-2465	19	13	,	,	PUNCT
ejpam-2465	19	14	t	t	PROPN
ejpam-2465	19	15	∈	∈	PROPN
ejpam-2465	19	16	j	j	PROPN
ejpam-2465	19	17	:	:	PUNCT
ejpam-2465	19	18	=	=	SYM
ejpam-2465	20	1	[	[	X
ejpam-2465	20	2	0	0	NUM
ejpam-2465	20	3	,	,	PUNCT
ejpam-2465	20	4	b	b	NOUN
ejpam-2465	20	5	]	]	PUNCT
ejpam-2465	20	6	x(0	x(0	PROPN
ejpam-2465	20	7	)	)	PUNCT
ejpam-2465	20	8	+	+	CCONJ
ejpam-2465	21	1	g(x	g(x	NOUN
ejpam-2465	21	2	)	)	PUNCT
ejpam-2465	22	1	=	=	SYM
ejpam-2465	22	2	x0	x0	PROPN
ejpam-2465	22	3	,	,	PUNCT
ejpam-2465	22	4	(	(	PUNCT
ejpam-2465	22	5	1	1	X
ejpam-2465	22	6	)	)	PUNCT
ejpam-2465	22	7	where	where	SCONJ
ejpam-2465	22	8	c	c	PROPN
ejpam-2465	22	9	dα	dα	PROPN
ejpam-2465	22	10	is	be	AUX
ejpam-2465	22	11	the	the	DET
ejpam-2465	22	12	caputo	caputo	PROPN
ejpam-2465	22	13	fractional	fractional	PROPN
ejpam-2465	22	14	derivative	derivative	NOUN
ejpam-2465	22	15	of	of	ADP
ejpam-2465	22	16	order	order	NOUN
ejpam-2465	22	17	0	0	NUM
ejpam-2465	22	18	<	<	X
ejpam-2465	22	19	α	α	X
ejpam-2465	22	20	<	<	X
ejpam-2465	22	21	1	1	NUM
ejpam-2465	22	22	,	,	PUNCT
ejpam-2465	22	23	iβ	iβ	PART
ejpam-2465	22	24	is	be	AUX
ejpam-2465	22	25	the	the	DET
ejpam-2465	22	26	riemann	riemann	PROPN
ejpam-2465	22	27	-	-	PUNCT
ejpam-2465	22	28	liouville	liouville	VERB
ejpam-2465	22	29	fractional	fractional	ADJ
ejpam-2465	22	30	integration	integration	NOUN
ejpam-2465	22	31	of	of	ADP
ejpam-2465	22	32	order	order	NOUN
ejpam-2465	22	33	0	0	PUNCT
ejpam-2465	22	34	<	<	X
ejpam-2465	22	35	β	β	X
ejpam-2465	22	36	<	<	X
ejpam-2465	22	37	1	1	NUM
ejpam-2465	22	38	,	,	PUNCT
ejpam-2465	22	39	b	b	PROPN
ejpam-2465	22	40	>	>	X
ejpam-2465	22	41	0	0	PROPN
ejpam-2465	22	42	,	,	PUNCT
ejpam-2465	22	43	a	a	PRON
ejpam-2465	22	44	is	be	AUX
ejpam-2465	22	45	the	the	DET
ejpam-2465	22	46	infinitesimal	infinitesimal	ADJ
ejpam-2465	22	47	generator	generator	NOUN
ejpam-2465	22	48	of	of	ADP
ejpam-2465	22	49	a	a	DET
ejpam-2465	22	50	c0	c0	PROPN
ejpam-2465	22	51	semigroup	semigroup	PROPN
ejpam-2465	22	52	{	{	PUNCT
ejpam-2465	22	53	q(t)}t≥0	q(t)}t≥0	PROPN
ejpam-2465	22	54	of	of	ADP
ejpam-2465	22	55	operators	operator	NOUN
ejpam-2465	22	56	on	on	ADP
ejpam-2465	22	57	e	e	PROPN
ejpam-2465	22	58	,	,	PUNCT
ejpam-2465	22	59	f	f	X
ejpam-2465	22	60	:	:	PUNCT
ejpam-2465	22	61	j	j	PROPN
ejpam-2465	22	62	×e×e→	×e×e→	PUNCT
ejpam-2465	22	63	e	e	PROPN
ejpam-2465	22	64	,	,	PUNCT
ejpam-2465	22	65	g	g	NOUN
ejpam-2465	22	66	:	:	PUNCT
ejpam-2465	22	67	c(j	c(j	NOUN
ejpam-2465	22	68	,	,	PUNCT
ejpam-2465	22	69	e)→	e)→	ADJ
ejpam-2465	22	70	e	e	NOUN
ejpam-2465	22	71	are	be	AUX
ejpam-2465	22	72	given	give	VERB
ejpam-2465	22	73	functions	function	NOUN
ejpam-2465	22	74	satisfying	satisfy	VERB
ejpam-2465	22	75	some	some	DET
ejpam-2465	22	76	assumptions	assumption	NOUN
ejpam-2465	22	77	and	and	CCONJ
ejpam-2465	22	78	x0	x0	PROPN
ejpam-2465	22	79	is	be	AUX
ejpam-2465	22	80	an	an	DET
ejpam-2465	22	81	element	element	NOUN
ejpam-2465	22	82	of	of	ADP
ejpam-2465	22	83	the	the	DET
ejpam-2465	22	84	banach	banach	NOUN
ejpam-2465	22	85	space	space	NOUN
ejpam-2465	22	86	e.	e.	PROPN
ejpam-2465	22	87	for	for	ADP
ejpam-2465	22	88	any	any	DET
ejpam-2465	22	89	strongly	strongly	ADV
ejpam-2465	22	90	continuous	continuous	ADJ
ejpam-2465	22	91	semigroup	semigroup	NOUN
ejpam-2465	22	92	(	(	PUNCT
ejpam-2465	22	93	i.e.	i.e.	X
ejpam-2465	22	94	c0	c0	PROPN
ejpam-2465	22	95	semigroup	semigroup	PROPN
ejpam-2465	22	96	)	)	PUNCT
ejpam-2465	22	97	{	{	PUNCT
ejpam-2465	22	98	q(t)}t≥0	q(t)}t≥0	NOUN
ejpam-2465	22	99	on	on	ADP
ejpam-2465	22	100	e	e	NOUN
ejpam-2465	22	101	,	,	PUNCT
ejpam-2465	22	102	we	we	PRON
ejpam-2465	22	103	define	define	VERB
ejpam-2465	22	104	the	the	DET
ejpam-2465	22	105	generator	generator	NOUN
ejpam-2465	22	106	au=	au=	PROPN
ejpam-2465	22	107	lim	lim	PROPN
ejpam-2465	23	1	t→0	t→0	PROPN
ejpam-2465	23	2	+	+	NUM
ejpam-2465	23	3	q(t)u−	q(t)u−	NOUN
ejpam-2465	23	4	u	u	PROPN
ejpam-2465	23	5	t	t	PROPN
ejpam-2465	23	6	in	in	ADP
ejpam-2465	23	7	e.	e.	PROPN
ejpam-2465	23	8	the	the	DET
ejpam-2465	23	9	domain	domain	NOUN
ejpam-2465	23	10	d(a	d(a	PROPN
ejpam-2465	23	11	)	)	PUNCT
ejpam-2465	23	12	of	of	ADP
ejpam-2465	23	13	this	this	DET
ejpam-2465	23	14	linear	linear	ADJ
ejpam-2465	23	15	operator	operator	NOUN
ejpam-2465	23	16	is	be	AUX
ejpam-2465	23	17	the	the	DET
ejpam-2465	23	18	set	set	NOUN
ejpam-2465	23	19	of	of	ADP
ejpam-2465	23	20	all	all	PRON
ejpam-2465	23	21	u	u	NOUN
ejpam-2465	23	22	∈	∈	PROPN
ejpam-2465	23	23	e	e	NOUN
ejpam-2465	23	24	for	for	ADP
ejpam-2465	23	25	which	which	PRON
ejpam-2465	23	26	the	the	DET
ejpam-2465	23	27	limit	limit	NOUN
ejpam-2465	23	28	above	above	ADP
ejpam-2465	23	29	exists	exist	VERB
ejpam-2465	23	30	.	.	PUNCT
ejpam-2465	24	1	then	then	ADV
ejpam-2465	24	2	d(a	d(a	PROPN
ejpam-2465	24	3	)	)	PUNCT
ejpam-2465	24	4	is	be	AUX
ejpam-2465	24	5	dense	dense	ADJ
ejpam-2465	24	6	in	in	ADP
ejpam-2465	24	7	e	e	NOUN
ejpam-2465	24	8	and	and	CCONJ
ejpam-2465	24	9	a	a	PRON
ejpam-2465	24	10	is	be	AUX
ejpam-2465	24	11	closed	closed	ADJ
ejpam-2465	24	12	,	,	PUNCT
ejpam-2465	24	13	meaning	mean	VERB
ejpam-2465	24	14	that	that	SCONJ
ejpam-2465	24	15	for	for	ADP
ejpam-2465	24	16	un	un	PROPN
ejpam-2465	24	17	∈	∈	PROPN
ejpam-2465	24	18	d(a	d(a	PROPN
ejpam-2465	24	19	)	)	PUNCT
ejpam-2465	24	20	,	,	PUNCT
ejpam-2465	24	21	if	if	SCONJ
ejpam-2465	24	22	un→	un→	VERB
ejpam-2465	24	23	u	u	NOUN
ejpam-2465	24	24	and	and	CCONJ
ejpam-2465	24	25	aun→	aun→	VERB
ejpam-2465	24	26	v	v	NOUN
ejpam-2465	24	27	in	in	ADP
ejpam-2465	24	28	e	e	NOUN
ejpam-2465	24	29	,	,	PUNCT
ejpam-2465	24	30	then	then	ADV
ejpam-2465	24	31	u	u	PROPN
ejpam-2465	24	32	∈	∈	PROPN
ejpam-2465	24	33	d(a	d(a	PROPN
ejpam-2465	24	34	)	)	PUNCT
ejpam-2465	24	35	and	and	CCONJ
ejpam-2465	24	36	au=	au=	PROPN
ejpam-2465	24	37	v.	v.	ADP
ejpam-2465	24	38	for	for	ADP
ejpam-2465	24	39	more	more	ADJ
ejpam-2465	24	40	details	detail	NOUN
ejpam-2465	24	41	,	,	PUNCT
ejpam-2465	24	42	we	we	PRON
ejpam-2465	24	43	refer	refer	VERB
ejpam-2465	24	44	the	the	DET
ejpam-2465	24	45	reader	reader	NOUN
ejpam-2465	24	46	to	to	ADP
ejpam-2465	24	47	[	[	X
ejpam-2465	24	48	13	13	NUM
ejpam-2465	24	49	]	]	SYM
ejpam-2465	24	50	.	.	PUNCT
ejpam-2465	25	1	2	2	X
ejpam-2465	25	2	.	.	X
ejpam-2465	25	3	preliminaries	preliminary	NOUN
ejpam-2465	25	4	in	in	ADP
ejpam-2465	25	5	this	this	DET
ejpam-2465	25	6	section	section	NOUN
ejpam-2465	25	7	,	,	PUNCT
ejpam-2465	25	8	we	we	PRON
ejpam-2465	25	9	introduce	introduce	VERB
ejpam-2465	25	10	preliminary	preliminary	ADJ
ejpam-2465	25	11	facts	fact	NOUN
ejpam-2465	25	12	which	which	PRON
ejpam-2465	25	13	are	be	AUX
ejpam-2465	25	14	used	use	VERB
ejpam-2465	25	15	throughout	throughout	ADP
ejpam-2465	25	16	this	this	DET
ejpam-2465	25	17	paper	paper	NOUN
ejpam-2465	25	18	.	.	PUNCT
ejpam-2465	26	1	we	we	PRON
ejpam-2465	26	2	assume	assume	VERB
ejpam-2465	26	3	that	that	SCONJ
ejpam-2465	26	4	e	e	PRON
ejpam-2465	26	5	is	be	AUX
ejpam-2465	26	6	a	a	DET
ejpam-2465	26	7	banach	banach	NOUN
ejpam-2465	26	8	space	space	NOUN
ejpam-2465	26	9	with	with	ADP
ejpam-2465	26	10	the	the	DET
ejpam-2465	26	11	norm	norm	NOUN
ejpam-2465	26	12	|	|	ADV
ejpam-2465	26	13	·	·	PUNCT
ejpam-2465	27	1	|	|	INTJ
ejpam-2465	27	2	.	.	PUNCT
ejpam-2465	27	3	let	let	VERB
ejpam-2465	27	4	c(j	c(j	PROPN
ejpam-2465	27	5	,	,	PUNCT
ejpam-2465	27	6	e	e	X
ejpam-2465	27	7	)	)	PUNCT
ejpam-2465	27	8	be	be	AUX
ejpam-2465	27	9	the	the	DET
ejpam-2465	27	10	banach	banach	NOUN
ejpam-2465	27	11	space	space	NOUN
ejpam-2465	27	12	of	of	ADP
ejpam-2465	27	13	continuous	continuous	ADJ
ejpam-2465	27	14	functions	function	NOUN
ejpam-2465	27	15	from	from	ADP
ejpam-2465	27	16	j	j	PROPN
ejpam-2465	27	17	into	into	ADP
ejpam-2465	27	18	e	e	PROPN
ejpam-2465	27	19	with	with	ADP
ejpam-2465	27	20	the	the	DET
ejpam-2465	27	21	norm	norm	NOUN
ejpam-2465	27	22	‖x‖=	‖x‖=	VERB
ejpam-2465	27	23	supt∈j	supt∈j	PROPN
ejpam-2465	27	24	|x(t)|	|x(t)|	PROPN
ejpam-2465	27	25	,	,	PUNCT
ejpam-2465	27	26	where	where	SCONJ
ejpam-2465	27	27	x	x	PROPN
ejpam-2465	27	28	∈	∈	PROPN
ejpam-2465	27	29	c(j	c(j	PROPN
ejpam-2465	27	30	,	,	PUNCT
ejpam-2465	27	31	e	e	NOUN
ejpam-2465	27	32	)	)	PUNCT
ejpam-2465	27	33	.	.	PUNCT
ejpam-2465	28	1	let	let	AUX
ejpam-2465	28	2	b(e	b(e	PROPN
ejpam-2465	28	3	)	)	PUNCT
ejpam-2465	28	4	be	be	AUX
ejpam-2465	28	5	the	the	DET
ejpam-2465	28	6	space	space	NOUN
ejpam-2465	28	7	of	of	ADP
ejpam-2465	28	8	all	all	DET
ejpam-2465	28	9	bounded	bound	VERB
ejpam-2465	28	10	linear	linear	PROPN
ejpam-2465	28	11	operators	operator	NOUN
ejpam-2465	28	12	from	from	ADP
ejpam-2465	28	13	e	e	NOUN
ejpam-2465	28	14	to	to	ADP
ejpam-2465	28	15	e	e	NOUN
ejpam-2465	28	16	with	with	ADP
ejpam-2465	28	17	the	the	DET
ejpam-2465	28	18	norm	norm	NOUN
ejpam-2465	28	19	‖q‖b(e	‖q‖b(e	VERB
ejpam-2465	28	20	)	)	PUNCT
ejpam-2465	28	21	=	=	VERB
ejpam-2465	29	1	sup{|q(u)|	sup{|q(u)|	NUM
ejpam-2465	29	2	:	:	PUNCT
ejpam-2465	29	3	|u|	|u|	ADJ
ejpam-2465	29	4	=	=	SYM
ejpam-2465	29	5	1	1	NUM
ejpam-2465	29	6	}	}	PUNCT
ejpam-2465	29	7	,	,	PUNCT
ejpam-2465	29	8	where	where	SCONJ
ejpam-2465	29	9	q(u	q(u	NOUN
ejpam-2465	29	10	)	)	PUNCT
ejpam-2465	29	11	∈	∈	PROPN
ejpam-2465	29	12	b(e	b(e	PROPN
ejpam-2465	29	13	)	)	PUNCT
ejpam-2465	29	14	and	and	CCONJ
ejpam-2465	29	15	u	u	PROPN
ejpam-2465	29	16	∈	∈	PROPN
ejpam-2465	29	17	e.	e.	PROPN
ejpam-2465	29	18	throughout	throughout	ADP
ejpam-2465	29	19	this	this	DET
ejpam-2465	29	20	paper	paper	NOUN
ejpam-2465	29	21	,	,	PUNCT
ejpam-2465	29	22	let	let	VERB
ejpam-2465	29	23	a	a	PRON
ejpam-2465	29	24	be	be	AUX
ejpam-2465	29	25	the	the	DET
ejpam-2465	29	26	infinitesimal	infinitesimal	ADJ
ejpam-2465	29	27	generator	generator	NOUN
ejpam-2465	29	28	of	of	ADP
ejpam-2465	29	29	a	a	DET
ejpam-2465	29	30	c0	c0	PROPN
ejpam-2465	29	31	semigroup	semigroup	PROPN
ejpam-2465	29	32	{	{	PUNCT
ejpam-2465	29	33	q(t)}t≥0	q(t)}t≥0	PROPN
ejpam-2465	29	34	of	of	ADP
ejpam-2465	29	35	operators	operator	NOUN
ejpam-2465	29	36	on	on	ADP
ejpam-2465	29	37	e.	e.	PROPN
ejpam-2465	29	38	clearly	clearly	ADV
ejpam-2465	29	39	m	m	VERB
ejpam-2465	29	40	:	:	PUNCT
ejpam-2465	29	41	=	=	NOUN
ejpam-2465	29	42	sup	sup	NOUN
ejpam-2465	29	43	t∈[0,b	t∈[0,b	PROPN
ejpam-2465	29	44	]	]	X
ejpam-2465	29	45	‖q‖b(e	‖q‖b(e	X
ejpam-2465	29	46	)	)	PUNCT
ejpam-2465	30	1	<	<	X
ejpam-2465	30	2	∞.	∞.	PROPN
ejpam-2465	30	3	(	(	PUNCT
ejpam-2465	30	4	2	2	NUM
ejpam-2465	30	5	)	)	PUNCT
ejpam-2465	30	6	we	we	PRON
ejpam-2465	30	7	need	need	VERB
ejpam-2465	30	8	some	some	DET
ejpam-2465	30	9	basic	basic	ADJ
ejpam-2465	30	10	definitions	definition	NOUN
ejpam-2465	30	11	and	and	CCONJ
ejpam-2465	30	12	properties	property	NOUN
ejpam-2465	30	13	of	of	ADP
ejpam-2465	30	14	the	the	DET
ejpam-2465	30	15	fractional	fractional	ADJ
ejpam-2465	30	16	calculus	calculus	NOUN
ejpam-2465	30	17	theory	theory	NOUN
ejpam-2465	30	18	which	which	PRON
ejpam-2465	30	19	are	be	AUX
ejpam-2465	30	20	used	use	VERB
ejpam-2465	30	21	further	far	ADV
ejpam-2465	30	22	in	in	ADP
ejpam-2465	30	23	this	this	DET
ejpam-2465	30	24	paper	paper	NOUN
ejpam-2465	30	25	.	.	PUNCT
ejpam-2465	31	1	for	for	ADP
ejpam-2465	31	2	more	more	ADJ
ejpam-2465	31	3	details	detail	NOUN
ejpam-2465	31	4	,	,	PUNCT
ejpam-2465	31	5	see	see	VERB
ejpam-2465	31	6	i.	i.	NOUN
ejpam-2465	31	7	podlubny	podlubny	PROPN
ejpam-2465	31	8	[	[	X
ejpam-2465	31	9	15	15	NUM
ejpam-2465	31	10	]	]	PUNCT
ejpam-2465	31	11	.	.	PUNCT
ejpam-2465	32	1	definition	definition	NOUN
ejpam-2465	32	2	1	1	NUM
ejpam-2465	32	3	.	.	PUNCT
ejpam-2465	33	1	the	the	DET
ejpam-2465	33	2	fractional	fractional	ADJ
ejpam-2465	33	3	integral	integral	NOUN
ejpam-2465	33	4	of	of	ADP
ejpam-2465	33	5	order	order	NOUN
ejpam-2465	33	6	α	α	NOUN
ejpam-2465	33	7	with	with	ADP
ejpam-2465	33	8	the	the	DET
ejpam-2465	33	9	lower	low	ADJ
ejpam-2465	33	10	limit	limit	NOUN
ejpam-2465	33	11	zero	zero	NUM
ejpam-2465	33	12	for	for	ADP
ejpam-2465	33	13	a	a	DET
ejpam-2465	33	14	function	function	NOUN
ejpam-2465	33	15	h	h	NOUN
ejpam-2465	33	16	∈	∈	PROPN
ejpam-2465	33	17	ac[0,∞	ac[0,∞	PROPN
ejpam-2465	33	18	)	)	PUNCT
ejpam-2465	33	19	is	be	AUX
ejpam-2465	33	20	defined	define	VERB
ejpam-2465	33	21	as	as	ADP
ejpam-2465	33	22	iαh(t	iαh(t	NOUN
ejpam-2465	33	23	)	)	PUNCT
ejpam-2465	33	24	=	=	SYM
ejpam-2465	33	25	1	1	NUM
ejpam-2465	33	26	γ(α	γ(α	NOUN
ejpam-2465	33	27	)	)	PUNCT
ejpam-2465	34	1	∫	∫	PROPN
ejpam-2465	34	2	t	t	PROPN
ejpam-2465	34	3	0	0	NUM
ejpam-2465	34	4	h(s	h(s	PROPN
ejpam-2465	34	5	)	)	PUNCT
ejpam-2465	35	1	(	(	PUNCT
ejpam-2465	35	2	t	t	NOUN
ejpam-2465	35	3	−	−	PROPN
ejpam-2465	35	4	s)1−α	s)1−α	ADJ
ejpam-2465	35	5	ds	ds	PROPN
ejpam-2465	35	6	,	,	PUNCT
ejpam-2465	35	7	t	t	X
ejpam-2465	35	8	>	>	X
ejpam-2465	35	9	0	0	PROPN
ejpam-2465	35	10	,	,	PUNCT
ejpam-2465	35	11	0	0	NUM
ejpam-2465	35	12	<	<	X
ejpam-2465	35	13	α	α	X
ejpam-2465	35	14	<	<	X
ejpam-2465	35	15	1	1	NUM
ejpam-2465	35	16	,	,	PUNCT
ejpam-2465	35	17	provided	provide	VERB
ejpam-2465	35	18	the	the	DET
ejpam-2465	35	19	right	right	ADJ
ejpam-2465	35	20	side	side	NOUN
ejpam-2465	35	21	is	be	AUX
ejpam-2465	35	22	point	point	ADV
ejpam-2465	35	23	-	-	PUNCT
ejpam-2465	35	24	wise	wise	ADJ
ejpam-2465	35	25	defined	define	VERB
ejpam-2465	35	26	on	on	ADP
ejpam-2465	35	27	[	[	X
ejpam-2465	35	28	0,∞	0,∞	NOUN
ejpam-2465	35	29	)	)	PUNCT
ejpam-2465	35	30	,	,	PUNCT
ejpam-2465	35	31	where	where	SCONJ
ejpam-2465	35	32	γ	γ	X
ejpam-2465	35	33	(	(	PUNCT
ejpam-2465	35	34	·	·	PUNCT
ejpam-2465	35	35	)	)	PUNCT
ejpam-2465	35	36	is	be	AUX
ejpam-2465	35	37	the	the	DET
ejpam-2465	35	38	gamma	gamma	PROPN
ejpam-2465	35	39	function	function	NOUN
ejpam-2465	35	40	.	.	PUNCT
ejpam-2465	36	1	definition	definition	NOUN
ejpam-2465	36	2	2	2	NUM
ejpam-2465	36	3	.	.	PUNCT
ejpam-2465	36	4	riemann	riemann	PROPN
ejpam-2465	36	5	-	-	PUNCT
ejpam-2465	36	6	liouville	liouville	VERB
ejpam-2465	36	7	derivative	derivative	NOUN
ejpam-2465	36	8	of	of	ADP
ejpam-2465	36	9	order	order	NOUN
ejpam-2465	36	10	α	α	NOUN
ejpam-2465	36	11	with	with	ADP
ejpam-2465	36	12	the	the	DET
ejpam-2465	36	13	lower	low	ADJ
ejpam-2465	36	14	limit	limit	NOUN
ejpam-2465	36	15	zero	zero	NUM
ejpam-2465	36	16	for	for	ADP
ejpam-2465	36	17	a	a	DET
ejpam-2465	36	18	function	function	NOUN
ejpam-2465	36	19	h	h	NOUN
ejpam-2465	36	20	∈	∈	PROPN
ejpam-2465	36	21	ac[0,∞	ac[0,∞	PROPN
ejpam-2465	36	22	)	)	PUNCT
ejpam-2465	36	23	can	can	AUX
ejpam-2465	36	24	be	be	AUX
ejpam-2465	36	25	written	write	VERB
ejpam-2465	36	26	as	as	ADP
ejpam-2465	36	27	l	l	PROPN
ejpam-2465	36	28	dαh(t	dαh(t	PROPN
ejpam-2465	36	29	)	)	PUNCT
ejpam-2465	36	30	=	=	SYM
ejpam-2465	36	31	1	1	NUM
ejpam-2465	36	32	γ(1−α	γ(1−α	NOUN
ejpam-2465	36	33	)	)	PUNCT
ejpam-2465	37	1	d	d	NOUN
ejpam-2465	37	2	d	d	NOUN
ejpam-2465	37	3	t	t	PROPN
ejpam-2465	37	4	∫	∫	PROPN
ejpam-2465	37	5	t	t	PROPN
ejpam-2465	37	6	0	0	NUM
ejpam-2465	37	7	h(s	h(s	PROPN
ejpam-2465	37	8	)	)	PUNCT
ejpam-2465	37	9	(	(	PUNCT
ejpam-2465	37	10	t	t	NOUN
ejpam-2465	37	11	−	−	PROPN
ejpam-2465	37	12	s)α	s)α	NOUN
ejpam-2465	37	13	ds	ds	PROPN
ejpam-2465	37	14	,	,	PUNCT
ejpam-2465	37	15	t	t	X
ejpam-2465	37	16	>	>	X
ejpam-2465	37	17	0	0	PROPN
ejpam-2465	37	18	,	,	PUNCT
ejpam-2465	37	19	0	0	NUM
ejpam-2465	37	20	<	<	X
ejpam-2465	37	21	α	α	X
ejpam-2465	37	22	<	<	X
ejpam-2465	37	23	1	1	NUM
ejpam-2465	37	24	.	.	PUNCT
ejpam-2465	37	25	m.	m.	NOUN
ejpam-2465	37	26	abbas	abbas	PROPN
ejpam-2465	37	27	/	/	SYM
ejpam-2465	37	28	eur	eur	PROPN
ejpam-2465	37	29	.	.	PUNCT
ejpam-2465	38	1	j.	j.	PROPN
ejpam-2465	38	2	pure	pure	PROPN
ejpam-2465	38	3	appl	appl	PROPN
ejpam-2465	38	4	.	.	PROPN
ejpam-2465	38	5	math	math	PROPN
ejpam-2465	38	6	,	,	PUNCT
ejpam-2465	38	7	8	8	NUM
ejpam-2465	38	8	(	(	PUNCT
ejpam-2465	38	9	2015	2015	NUM
ejpam-2465	38	10	)	)	PUNCT
ejpam-2465	38	11	,	,	PUNCT
ejpam-2465	38	12	478	478	NUM
ejpam-2465	38	13	-	-	SYM
ejpam-2465	38	14	498	498	NUM
ejpam-2465	38	15	480	480	NUM
ejpam-2465	38	16	definition	definition	NOUN
ejpam-2465	38	17	3	3	NUM
ejpam-2465	38	18	.	.	PUNCT
ejpam-2465	39	1	the	the	DET
ejpam-2465	39	2	caputo	caputo	PROPN
ejpam-2465	39	3	derivative	derivative	NOUN
ejpam-2465	39	4	of	of	ADP
ejpam-2465	39	5	order	order	NOUN
ejpam-2465	39	6	α	α	NOUN
ejpam-2465	39	7	with	with	ADP
ejpam-2465	39	8	the	the	DET
ejpam-2465	39	9	lower	low	ADJ
ejpam-2465	39	10	limit	limit	NOUN
ejpam-2465	39	11	zero	zero	NUM
ejpam-2465	39	12	for	for	ADP
ejpam-2465	39	13	a	a	DET
ejpam-2465	39	14	function	function	NOUN
ejpam-2465	39	15	h	h	NOUN
ejpam-2465	39	16	∈	∈	PROPN
ejpam-2465	39	17	ac[0,∞	ac[0,∞	PROPN
ejpam-2465	39	18	)	)	PUNCT
ejpam-2465	39	19	can	can	AUX
ejpam-2465	39	20	be	be	AUX
ejpam-2465	39	21	written	write	VERB
ejpam-2465	39	22	as	as	ADP
ejpam-2465	39	23	c	c	PROPN
ejpam-2465	39	24	dαh(t	dαh(t	PROPN
ejpam-2465	39	25	)	)	PUNCT
ejpam-2465	40	1	=	=	NOUN
ejpam-2465	40	2	l	l	NOUN
ejpam-2465	40	3	dα(h(t)−	dα(h(t)−	PROPN
ejpam-2465	40	4	h(0	h(0	PROPN
ejpam-2465	40	5	)	)	PUNCT
ejpam-2465	40	6	)	)	PUNCT
ejpam-2465	40	7	,	,	PUNCT
ejpam-2465	40	8	t	t	X
ejpam-2465	40	9	>	>	X
ejpam-2465	40	10	0	0	PROPN
ejpam-2465	40	11	,	,	PUNCT
ejpam-2465	40	12	0	0	NUM
ejpam-2465	40	13	<	<	X
ejpam-2465	40	14	α	α	X
ejpam-2465	40	15	<	<	X
ejpam-2465	40	16	1	1	NUM
ejpam-2465	40	17	.	.	PUNCT
ejpam-2465	40	18	remark	remark	NOUN
ejpam-2465	40	19	1	1	NUM
ejpam-2465	40	20	.	.	NOUN
ejpam-2465	40	21	•	•	NUM
ejpam-2465	40	22	if	if	SCONJ
ejpam-2465	40	23	h(t	h(t	NUM
ejpam-2465	40	24	)	)	PUNCT
ejpam-2465	40	25	∈	∈	PROPN
ejpam-2465	40	26	c1[0,∞	c1[0,∞	PROPN
ejpam-2465	40	27	)	)	PUNCT
ejpam-2465	40	28	,	,	PUNCT
ejpam-2465	40	29	then	then	ADV
ejpam-2465	40	30	c	c	PROPN
ejpam-2465	40	31	dαh(t	dαh(t	PROPN
ejpam-2465	40	32	)	)	PUNCT
ejpam-2465	40	33	=	=	SYM
ejpam-2465	40	34	1	1	NUM
ejpam-2465	40	35	γ(1−α	γ(1−α	NOUN
ejpam-2465	40	36	)	)	PUNCT
ejpam-2465	41	1	∫	∫	PROPN
ejpam-2465	41	2	t	t	PROPN
ejpam-2465	41	3	0	0	NUM
ejpam-2465	41	4	h	h	NOUN
ejpam-2465	42	1	′	′	NUM
ejpam-2465	42	2	(	(	PUNCT
ejpam-2465	42	3	s	s	X
ejpam-2465	42	4	)	)	PUNCT
ejpam-2465	42	5	(	(	PUNCT
ejpam-2465	42	6	t	t	NOUN
ejpam-2465	42	7	−	−	PROPN
ejpam-2465	42	8	s)α	s)α	NOUN
ejpam-2465	42	9	ds	ds	NOUN
ejpam-2465	42	10	=	=	NOUN
ejpam-2465	42	11	i1−αh	i1−αh	NOUN
ejpam-2465	42	12	′	′	NUM
ejpam-2465	42	13	(	(	PUNCT
ejpam-2465	42	14	t	t	PROPN
ejpam-2465	42	15	)	)	PUNCT
ejpam-2465	42	16	,	,	PUNCT
ejpam-2465	42	17	t	t	X
ejpam-2465	42	18	>	>	X
ejpam-2465	42	19	0	0	PROPN
ejpam-2465	42	20	,	,	PUNCT
ejpam-2465	42	21	0	0	NUM
ejpam-2465	42	22	<	<	X
ejpam-2465	42	23	α	α	X
ejpam-2465	42	24	<	<	X
ejpam-2465	42	25	1	1	NUM
ejpam-2465	42	26	.	.	NOUN
ejpam-2465	42	27	•	•	NOUN
ejpam-2465	42	28	the	the	DET
ejpam-2465	42	29	caputo	caputo	PROPN
ejpam-2465	42	30	derivative	derivative	NOUN
ejpam-2465	42	31	of	of	ADP
ejpam-2465	42	32	a	a	DET
ejpam-2465	42	33	constant	constant	ADJ
ejpam-2465	42	34	is	be	AUX
ejpam-2465	42	35	equal	equal	ADJ
ejpam-2465	42	36	to	to	ADP
ejpam-2465	42	37	zero	zero	NUM
ejpam-2465	42	38	.	.	PUNCT
ejpam-2465	43	1	•	•	NOUN
ejpam-2465	43	2	if	if	SCONJ
ejpam-2465	43	3	h	h	NOUN
ejpam-2465	43	4	is	be	AUX
ejpam-2465	43	5	an	an	DET
ejpam-2465	43	6	abstract	abstract	ADJ
ejpam-2465	43	7	function	function	NOUN
ejpam-2465	43	8	with	with	ADP
ejpam-2465	43	9	values	value	NOUN
ejpam-2465	43	10	in	in	ADP
ejpam-2465	43	11	e	e	NOUN
ejpam-2465	43	12	,	,	PUNCT
ejpam-2465	43	13	then	then	ADV
ejpam-2465	43	14	integrals	integral	NOUN
ejpam-2465	43	15	which	which	PRON
ejpam-2465	43	16	appear	appear	VERB
ejpam-2465	43	17	in	in	ADP
ejpam-2465	43	18	definitions	definition	NOUN
ejpam-2465	43	19	1	1	NUM
ejpam-2465	43	20	-	-	SYM
ejpam-2465	43	21	3	3	NUM
ejpam-2465	43	22	are	be	AUX
ejpam-2465	43	23	taken	take	VERB
ejpam-2465	43	24	in	in	ADP
ejpam-2465	43	25	bochner	bochner	NOUN
ejpam-2465	43	26	’s	’s	PART
ejpam-2465	43	27	sense	sense	NOUN
ejpam-2465	43	28	.	.	PUNCT
ejpam-2465	44	1	for	for	ADP
ejpam-2465	44	2	measurable	measurable	ADJ
ejpam-2465	44	3	functions	function	NOUN
ejpam-2465	44	4	m	m	AUX
ejpam-2465	44	5	:	:	PUNCT
ejpam-2465	44	6	j	j	PROPN
ejpam-2465	44	7	→	→	SYM
ejpam-2465	44	8	r	r	NOUN
ejpam-2465	44	9	,	,	PUNCT
ejpam-2465	44	10	define	define	VERB
ejpam-2465	44	11	the	the	DET
ejpam-2465	44	12	norm	norm	NOUN
ejpam-2465	44	13	‖m‖lp(j	‖m‖lp(j	PROPN
ejpam-2465	44	14	)	)	PUNCT
ejpam-2465	45	1	=	=	PRON
ejpam-2465	45	2	(	(	PUNCT
ejpam-2465	45	3	(	(	PUNCT
ejpam-2465	45	4	∫	∫	PROPN
ejpam-2465	45	5	j	j	PROPN
ejpam-2465	45	6	|m(t)|pd	|m(t)|pd	PROPN
ejpam-2465	45	7	t	t	PROPN
ejpam-2465	45	8	)	)	PUNCT
ejpam-2465	45	9	1	1	NUM
ejpam-2465	45	10	p	p	NOUN
ejpam-2465	45	11	,	,	PUNCT
ejpam-2465	45	12	1≤	1≤	X
ejpam-2465	45	13	p	p	X
ejpam-2465	45	14	<	<	X
ejpam-2465	45	15	∞	∞	PROPN
ejpam-2465	45	16	,	,	PUNCT
ejpam-2465	45	17	infµ(j̄)=0{supt∈j−j̄	infµ(j̄)=0{supt∈j−j̄	PROPN
ejpam-2465	45	18	|m(t)|	|m(t)|	NOUN
ejpam-2465	45	19	}	}	PUNCT
ejpam-2465	45	20	,	,	PUNCT
ejpam-2465	45	21	p	p	NOUN
ejpam-2465	45	22	=	=	NOUN
ejpam-2465	45	23	∞	∞	PROPN
ejpam-2465	45	24	,	,	PUNCT
ejpam-2465	45	25	where	where	SCONJ
ejpam-2465	45	26	µ(j̄	µ(j̄	NOUN
ejpam-2465	45	27	)	)	PUNCT
ejpam-2465	45	28	is	be	AUX
ejpam-2465	45	29	the	the	DET
ejpam-2465	45	30	lebesgue	lebesgue	ADJ
ejpam-2465	45	31	measure	measure	NOUN
ejpam-2465	45	32	on	on	ADP
ejpam-2465	45	33	j̄	j̄	PROPN
ejpam-2465	45	34	.	.	PUNCT
ejpam-2465	46	1	let	let	VERB
ejpam-2465	46	2	lp(j	lp(j	PROPN
ejpam-2465	46	3	,	,	PUNCT
ejpam-2465	46	4	r	r	X
ejpam-2465	46	5	)	)	PUNCT
ejpam-2465	46	6	be	be	AUX
ejpam-2465	46	7	the	the	DET
ejpam-2465	46	8	banach	banach	NOUN
ejpam-2465	46	9	space	space	NOUN
ejpam-2465	46	10	of	of	ADP
ejpam-2465	46	11	all	all	DET
ejpam-2465	46	12	lebesgue	lebesgue	ADJ
ejpam-2465	46	13	measurable	measurable	ADJ
ejpam-2465	46	14	functions	function	NOUN
ejpam-2465	46	15	m	m	VERB
ejpam-2465	46	16	:	:	PUNCT
ejpam-2465	46	17	j	j	PROPN
ejpam-2465	46	18	→	→	SYM
ejpam-2465	46	19	r	r	NOUN
ejpam-2465	46	20	with	with	ADP
ejpam-2465	46	21	‖m‖lp(j	‖m‖lp(j	PROPN
ejpam-2465	46	22	)	)	PUNCT
ejpam-2465	47	1	<	<	X
ejpam-2465	47	2	∞.	∞.	PROPN
ejpam-2465	47	3	lemma	lemma	PROPN
ejpam-2465	47	4	1	1	NUM
ejpam-2465	47	5	(	(	PUNCT
ejpam-2465	47	6	hölder	hölder	PROPN
ejpam-2465	47	7	’s	’s	PART
ejpam-2465	47	8	inequality	inequality	NOUN
ejpam-2465	47	9	)	)	PUNCT
ejpam-2465	47	10	.	.	PUNCT
ejpam-2465	48	1	assume	assume	VERB
ejpam-2465	48	2	that	that	SCONJ
ejpam-2465	48	3	q	q	X
ejpam-2465	48	4	,	,	PUNCT
ejpam-2465	48	5	p	p	PRON
ejpam-2465	48	6	≥	≥	NUM
ejpam-2465	48	7	1	1	NUM
ejpam-2465	48	8	and	and	CCONJ
ejpam-2465	48	9	1	1	NUM
ejpam-2465	48	10	q	q	NOUN
ejpam-2465	49	1	+	+	NUM
ejpam-2465	49	2	1	1	NUM
ejpam-2465	49	3	p	p	NOUN
ejpam-2465	49	4	=	=	NOUN
ejpam-2465	49	5	1	1	X
ejpam-2465	49	6	.	.	PUNCT
ejpam-2465	50	1	if	if	SCONJ
ejpam-2465	50	2	l	l	PROPN
ejpam-2465	50	3	∈	∈	PROPN
ejpam-2465	50	4	lq(j	lq(j	X
ejpam-2465	50	5	,	,	PUNCT
ejpam-2465	50	6	r	r	NOUN
ejpam-2465	50	7	)	)	PUNCT
ejpam-2465	50	8	and	and	CCONJ
ejpam-2465	50	9	m	m	PROPN
ejpam-2465	50	10	∈	∈	ADJ
ejpam-2465	50	11	lp(j	lp(j	NOUN
ejpam-2465	50	12	,	,	PUNCT
ejpam-2465	50	13	r	r	NOUN
ejpam-2465	50	14	)	)	PUNCT
ejpam-2465	50	15	,	,	PUNCT
ejpam-2465	50	16	then	then	ADV
ejpam-2465	50	17	for	for	ADP
ejpam-2465	50	18	1≤	1≤	NUM
ejpam-2465	50	19	p	p	DET
ejpam-2465	50	20	≤∞	≤∞	PROPN
ejpam-2465	50	21	,	,	PUNCT
ejpam-2465	50	22	lm	lm	PROPN
ejpam-2465	50	23	∈	∈	PROPN
ejpam-2465	50	24	l1(j	l1(j	X
ejpam-2465	50	25	,	,	PUNCT
ejpam-2465	50	26	r	r	NOUN
ejpam-2465	50	27	)	)	PUNCT
ejpam-2465	50	28	and	and	CCONJ
ejpam-2465	50	29	‖lm‖l1(j	‖lm‖l1(j	NOUN
ejpam-2465	50	30	)	)	PUNCT
ejpam-2465	50	31	≤	≤	NOUN
ejpam-2465	50	32	‖l‖lq(j).‖m‖lp(j	‖l‖lq(j).‖m‖lp(j	PROPN
ejpam-2465	50	33	)	)	PUNCT
ejpam-2465	50	34	.	.	PUNCT
ejpam-2465	51	1	lemma	lemma	PROPN
ejpam-2465	51	2	2	2	NUM
ejpam-2465	51	3	(	(	PUNCT
ejpam-2465	51	4	[	[	X
ejpam-2465	51	5	21	21	NUM
ejpam-2465	51	6	]	]	X
ejpam-2465	51	7	p	p	ADJ
ejpam-2465	51	8	-	-	PUNCT
ejpam-2465	51	9	mean	mean	NOUN
ejpam-2465	51	10	continuity	continuity	NOUN
ejpam-2465	51	11	)	)	PUNCT
ejpam-2465	51	12	.	.	PUNCT
ejpam-2465	52	1	for	for	ADP
ejpam-2465	52	2	each	each	DET
ejpam-2465	52	3	ψ	ψ	X
ejpam-2465	52	4	∈	∈	NOUN
ejpam-2465	52	5	lp(j	lp(j	NOUN
ejpam-2465	52	6	,	,	PUNCT
ejpam-2465	52	7	e	e	NOUN
ejpam-2465	52	8	)	)	PUNCT
ejpam-2465	52	9	with	with	ADP
ejpam-2465	52	10	1	1	NUM
ejpam-2465	52	11	≤	≤	NOUN
ejpam-2465	52	12	p	p	NOUN
ejpam-2465	52	13	<	<	X
ejpam-2465	52	14	+	+	PROPN
ejpam-2465	52	15	∞	∞	PROPN
ejpam-2465	52	16	,	,	PUNCT
ejpam-2465	52	17	we	we	PRON
ejpam-2465	52	18	have	have	VERB
ejpam-2465	52	19	limr→0	limr→0	PROPN
ejpam-2465	52	20	∫	∫	PROPN
ejpam-2465	52	21	b	b	PROPN
ejpam-2465	52	22	0	0	NUM
ejpam-2465	52	23	‖ψ(t	‖ψ(t	PRON
ejpam-2465	52	24	+	+	NOUN
ejpam-2465	52	25	r)−ψ(t)‖pd	r)−ψ(t)‖pd	NOUN
ejpam-2465	52	26	t	t	NOUN
ejpam-2465	52	27	=	=	SYM
ejpam-2465	52	28	0	0	PROPN
ejpam-2465	52	29	,	,	PUNCT
ejpam-2465	52	30	where	where	SCONJ
ejpam-2465	52	31	ψ(s	ψ(s	ADP
ejpam-2465	52	32	)	)	PUNCT
ejpam-2465	52	33	=	=	SYM
ejpam-2465	52	34	0	0	NUM
ejpam-2465	52	35	for	for	ADP
ejpam-2465	52	36	s	s	PRON
ejpam-2465	52	37	not	not	PART
ejpam-2465	52	38	in	in	ADP
ejpam-2465	52	39	j.	j.	PROPN
ejpam-2465	52	40	lemma	lemma	PROPN
ejpam-2465	52	41	3	3	NUM
ejpam-2465	52	42	(	(	PUNCT
ejpam-2465	52	43	bochner	bochner	NOUN
ejpam-2465	52	44	’s	’s	PART
ejpam-2465	52	45	theorem	theorem	NOUN
ejpam-2465	52	46	)	)	PUNCT
ejpam-2465	52	47	.	.	PUNCT
ejpam-2465	53	1	a	a	DET
ejpam-2465	53	2	measurable	measurable	ADJ
ejpam-2465	53	3	function	function	NOUN
ejpam-2465	53	4	h	h	NOUN
ejpam-2465	53	5	:	:	PUNCT
ejpam-2465	54	1	[	[	X
ejpam-2465	54	2	0	0	NUM
ejpam-2465	54	3	,	,	PUNCT
ejpam-2465	54	4	b]→	b]→	PROPN
ejpam-2465	54	5	r	r	PROPN
ejpam-2465	54	6	is	be	AUX
ejpam-2465	54	7	bochner	bochner	NOUN
ejpam-2465	54	8	’s	’s	PART
ejpam-2465	54	9	integrable	integrable	ADJ
ejpam-2465	54	10	if	if	SCONJ
ejpam-2465	54	11	|h|	|h|	PROPN
ejpam-2465	54	12	is	be	AUX
ejpam-2465	54	13	lebesgue	lebesgue	NOUN
ejpam-2465	54	14	integrable	integrable	ADJ
ejpam-2465	54	15	.	.	PUNCT
ejpam-2465	55	1	lemma	lemma	PROPN
ejpam-2465	55	2	4	4	NUM
ejpam-2465	55	3	(	(	PUNCT
ejpam-2465	55	4	schauder	schauder	NOUN
ejpam-2465	55	5	fixed	fix	VERB
ejpam-2465	55	6	point	point	NOUN
ejpam-2465	55	7	theorem	theorem	ADJ
ejpam-2465	55	8	)	)	PUNCT
ejpam-2465	55	9	.	.	PUNCT
ejpam-2465	56	1	if	if	SCONJ
ejpam-2465	56	2	b	b	PROPN
ejpam-2465	56	3	is	be	AUX
ejpam-2465	56	4	a	a	DET
ejpam-2465	56	5	closed	closed	ADJ
ejpam-2465	56	6	bounded	bound	VERB
ejpam-2465	56	7	and	and	CCONJ
ejpam-2465	56	8	convex	convex	PROPN
ejpam-2465	56	9	subset	subset	NOUN
ejpam-2465	56	10	of	of	ADP
ejpam-2465	56	11	a	a	DET
ejpam-2465	56	12	banach	banach	NOUN
ejpam-2465	56	13	space	space	NOUN
ejpam-2465	56	14	e	e	NOUN
ejpam-2465	56	15	and	and	CCONJ
ejpam-2465	56	16	f	f	PROPN
ejpam-2465	56	17	:	:	PUNCT
ejpam-2465	56	18	b→	b→	PROPN
ejpam-2465	56	19	b	b	PROPN
ejpam-2465	56	20	is	be	AUX
ejpam-2465	56	21	completely	completely	ADV
ejpam-2465	56	22	continuous	continuous	ADJ
ejpam-2465	56	23	,	,	PUNCT
ejpam-2465	56	24	then	then	ADV
ejpam-2465	56	25	f	f	PROPN
ejpam-2465	56	26	has	have	VERB
ejpam-2465	56	27	a	a	DET
ejpam-2465	56	28	fixed	fix	VERB
ejpam-2465	56	29	point	point	NOUN
ejpam-2465	56	30	in	in	ADP
ejpam-2465	56	31	b.	b.	PROPN
ejpam-2465	56	32	we	we	PRON
ejpam-2465	56	33	end	end	VERB
ejpam-2465	56	34	this	this	DET
ejpam-2465	56	35	section	section	NOUN
ejpam-2465	56	36	with	with	ADP
ejpam-2465	56	37	an	an	DET
ejpam-2465	56	38	important	important	ADJ
ejpam-2465	56	39	singular	singular	ADJ
ejpam-2465	56	40	type	type	NOUN
ejpam-2465	56	41	gronwall	gronwall	ADJ
ejpam-2465	56	42	inequality	inequality	NOUN
ejpam-2465	56	43	.	.	PUNCT
ejpam-2465	57	1	theorem	theorem	NOUN
ejpam-2465	57	2	1	1	NUM
ejpam-2465	57	3	(	(	PUNCT
ejpam-2465	57	4	[	[	X
ejpam-2465	57	5	16	16	NUM
ejpam-2465	57	6	]	]	PUNCT
ejpam-2465	57	7	theorem	theorem	VERB
ejpam-2465	57	8	1.4	1.4	NUM
ejpam-2465	57	9	)	)	PUNCT
ejpam-2465	57	10	.	.	PUNCT
ejpam-2465	58	1	for	for	ADP
ejpam-2465	58	2	any	any	DET
ejpam-2465	58	3	t	t	NOUN
ejpam-2465	58	4	∈	∈	PROPN
ejpam-2465	59	1	[	[	X
ejpam-2465	59	2	0	0	NUM
ejpam-2465	59	3	,	,	PUNCT
ejpam-2465	59	4	b	b	NOUN
ejpam-2465	59	5	)	)	PUNCT
ejpam-2465	59	6	,	,	PUNCT
ejpam-2465	59	7	if	if	SCONJ
ejpam-2465	59	8	u(t)≤	u(t)≤	NOUN
ejpam-2465	59	9	a(t	a(t	VERB
ejpam-2465	59	10	)	)	PUNCT
ejpam-2465	60	1	+	+	CCONJ
ejpam-2465	60	2	n	n	CCONJ
ejpam-2465	60	3	∑	∑	ADV
ejpam-2465	60	4	i=1	i=1	PROPN
ejpam-2465	60	5	bi(t	bi(t	NOUN
ejpam-2465	60	6	)	)	PUNCT
ejpam-2465	60	7	∫	∫	PROPN
ejpam-2465	60	8	t	t	PROPN
ejpam-2465	60	9	0	0	NUM
ejpam-2465	61	1	(	(	PUNCT
ejpam-2465	61	2	t	t	PROPN
ejpam-2465	61	3	−	−	PROPN
ejpam-2465	61	4	s)βi−1u(s)ds	s)βi−1u(s)ds	PROPN
ejpam-2465	61	5	,	,	PUNCT
ejpam-2465	61	6	where	where	SCONJ
ejpam-2465	61	7	all	all	DET
ejpam-2465	61	8	the	the	DET
ejpam-2465	61	9	functions	function	NOUN
ejpam-2465	61	10	are	be	AUX
ejpam-2465	61	11	not	not	PART
ejpam-2465	61	12	negative	negative	ADJ
ejpam-2465	61	13	and	and	CCONJ
ejpam-2465	61	14	continuous	continuous	ADJ
ejpam-2465	61	15	.	.	PUNCT
ejpam-2465	62	1	the	the	DET
ejpam-2465	62	2	constants	constant	NOUN
ejpam-2465	62	3	βi	βi	PRON
ejpam-2465	62	4	>	>	X
ejpam-2465	62	5	0	0	X
ejpam-2465	62	6	.	.	PUNCT
ejpam-2465	63	1	bi	bi	NOUN
ejpam-2465	63	2	(	(	PUNCT
ejpam-2465	63	3	i	i	NOUN
ejpam-2465	63	4	=	=	SYM
ejpam-2465	63	5	1,2	1,2	NUM
ejpam-2465	63	6	,	,	PUNCT
ejpam-2465	63	7	.	.	PUNCT
ejpam-2465	63	8	.	.	PUNCT
ejpam-2465	63	9	.	.	PUNCT
ejpam-2465	63	10	,	,	PUNCT
ejpam-2465	63	11	n	n	CCONJ
ejpam-2465	63	12	)	)	PUNCT
ejpam-2465	63	13	are	be	AUX
ejpam-2465	63	14	the	the	DET
ejpam-2465	63	15	bounded	bounded	ADJ
ejpam-2465	63	16	and	and	CCONJ
ejpam-2465	63	17	monotonic	monotonic	ADJ
ejpam-2465	63	18	increasing	increase	VERB
ejpam-2465	63	19	functions	function	NOUN
ejpam-2465	63	20	on	on	ADP
ejpam-2465	63	21	[	[	X
ejpam-2465	63	22	0	0	NUM
ejpam-2465	63	23	,	,	PUNCT
ejpam-2465	63	24	b	b	NOUN
ejpam-2465	63	25	)	)	PUNCT
ejpam-2465	63	26	,	,	PUNCT
ejpam-2465	63	27	then	then	ADV
ejpam-2465	63	28	u(t)≤	u(t)≤	PROPN
ejpam-2465	63	29	a(t	a(t	PROPN
ejpam-2465	63	30	)	)	PUNCT
ejpam-2465	64	1	+	+	CCONJ
ejpam-2465	64	2	∞	∞	NUM
ejpam-2465	64	3	∑	∑	PUNCT
ejpam-2465	64	4	k=1	k=1	PROPN
ejpam-2465	64	5			VERB
ejpam-2465	64	6			NOUN
ejpam-2465	64	7	n	n	CCONJ
ejpam-2465	64	8	∑	∑	PROPN
ejpam-2465	64	9	1′	1′	NUM
ejpam-2465	64	10	,	,	PUNCT
ejpam-2465	64	11	2′	2′	NUM
ejpam-2465	64	12	,	,	PUNCT
ejpam-2465	64	13	·	·	PUNCT
ejpam-2465	64	14	·	·	PUNCT
ejpam-2465	64	15	·	·	PUNCT
ejpam-2465	64	16	,	,	PUNCT
ejpam-2465	64	17	k′=1	k′=1	PROPN
ejpam-2465	65	1	∏k	∏k	X
ejpam-2465	65	2	i=1[bi′	i=1[bi′	NOUN
ejpam-2465	65	3	(	(	PUNCT
ejpam-2465	65	4	t)γ(βi′	t)γ(βi′	NOUN
ejpam-2465	65	5	)	)	PUNCT
ejpam-2465	65	6	]	]	PUNCT
ejpam-2465	66	1	γ	γ	X
ejpam-2465	66	2	(	(	PUNCT
ejpam-2465	66	3	∑k	∑k	PROPN
ejpam-2465	66	4	i=1	i=1	X
ejpam-2465	66	5	βi′	βi′	X
ejpam-2465	66	6	)	)	PUNCT
ejpam-2465	67	1	∫	∫	PROPN
ejpam-2465	67	2	t	t	PROPN
ejpam-2465	67	3	0	0	NUM
ejpam-2465	68	1	(	(	PUNCT
ejpam-2465	68	2	t	t	PROPN
ejpam-2465	68	3	−	−	PROPN
ejpam-2465	68	4	s	s	PART
ejpam-2465	68	5	)	)	PUNCT
ejpam-2465	68	6	∑k	∑k	PROPN
ejpam-2465	68	7	i=1	i=1	PRON
ejpam-2465	69	1	βi−1a(s)ds	βi−1a(s)ds	PROPN
ejpam-2465	69	2			X
ejpam-2465	69	3			PUNCT
ejpam-2465	69	4	.	.	PUNCT
ejpam-2465	70	1	m.	m.	NOUN
ejpam-2465	70	2	abbas	abbas	PROPN
ejpam-2465	70	3	/	/	SYM
ejpam-2465	70	4	eur	eur	PROPN
ejpam-2465	70	5	.	.	PUNCT
ejpam-2465	71	1	j.	j.	PROPN
ejpam-2465	71	2	pure	pure	PROPN
ejpam-2465	71	3	appl	appl	PROPN
ejpam-2465	71	4	.	.	PROPN
ejpam-2465	71	5	math	math	PROPN
ejpam-2465	71	6	,	,	PUNCT
ejpam-2465	71	7	8	8	NUM
ejpam-2465	71	8	(	(	PUNCT
ejpam-2465	71	9	2015	2015	NUM
ejpam-2465	71	10	)	)	PUNCT
ejpam-2465	71	11	,	,	PUNCT
ejpam-2465	71	12	478	478	NUM
ejpam-2465	71	13	-	-	SYM
ejpam-2465	71	14	498	498	NUM
ejpam-2465	71	15	481	481	NUM
ejpam-2465	71	16	remark	remark	NOUN
ejpam-2465	71	17	2	2	NUM
ejpam-2465	71	18	.	.	PUNCT
ejpam-2465	72	1	for	for	ADP
ejpam-2465	72	2	n	n	NOUN
ejpam-2465	72	3	=	=	SYM
ejpam-2465	72	4	2	2	NUM
ejpam-2465	72	5	,	,	PUNCT
ejpam-2465	72	6	if	if	SCONJ
ejpam-2465	72	7	the	the	DET
ejpam-2465	72	8	constants	constant	NOUN
ejpam-2465	72	9	b1	b1	NOUN
ejpam-2465	72	10	,	,	PUNCT
ejpam-2465	72	11	b2	b2	NOUN
ejpam-2465	72	12	≥	≥	NOUN
ejpam-2465	72	13	0	0	NUM
ejpam-2465	72	14	,	,	PUNCT
ejpam-2465	72	15	β1,β2	β1,β2	PROPN
ejpam-2465	72	16	>	>	X
ejpam-2465	72	17	0	0	NUM
ejpam-2465	72	18	,	,	PUNCT
ejpam-2465	72	19	a(t	a(t	NOUN
ejpam-2465	72	20	)	)	PUNCT
ejpam-2465	72	21	is	be	AUX
ejpam-2465	72	22	nonnegative	nonnegative	ADJ
ejpam-2465	72	23	and	and	CCONJ
ejpam-2465	72	24	locally	locally	ADV
ejpam-2465	72	25	integrable	integrable	ADJ
ejpam-2465	72	26	on	on	ADP
ejpam-2465	72	27	0≤	0≤	NUM
ejpam-2465	72	28	t	t	NOUN
ejpam-2465	72	29	<	<	X
ejpam-2465	72	30	b	b	PROPN
ejpam-2465	72	31	and	and	CCONJ
ejpam-2465	72	32	u(t	u(t	NOUN
ejpam-2465	72	33	)	)	PUNCT
ejpam-2465	72	34	is	be	AUX
ejpam-2465	72	35	nonnegative	nonnegative	ADJ
ejpam-2465	72	36	and	and	CCONJ
ejpam-2465	72	37	locally	locally	ADV
ejpam-2465	72	38	integrable	integrable	ADJ
ejpam-2465	72	39	on	on	ADP
ejpam-2465	72	40	0≤	0≤	NUM
ejpam-2465	72	41	t	t	NOUN
ejpam-2465	72	42	<	<	X
ejpam-2465	72	43	b	b	PROPN
ejpam-2465	72	44	with	with	ADP
ejpam-2465	72	45	u(t)≤	u(t)≤	NOUN
ejpam-2465	72	46	a(t	a(t	NOUN
ejpam-2465	72	47	)	)	PUNCT
ejpam-2465	73	1	+	+	CCONJ
ejpam-2465	74	1	b1	b1	PROPN
ejpam-2465	74	2	∫	∫	PROPN
ejpam-2465	74	3	t	t	PROPN
ejpam-2465	74	4	0	0	NUM
ejpam-2465	75	1	(	(	PUNCT
ejpam-2465	75	2	t	t	NOUN
ejpam-2465	75	3	−	−	PROPN
ejpam-2465	75	4	s)β1−1u(s)ds+	s)β1−1u(s)ds+	PROPN
ejpam-2465	75	5	b2	b2	PROPN
ejpam-2465	75	6	∫	∫	PROPN
ejpam-2465	75	7	t	t	PROPN
ejpam-2465	75	8	0	0	NUM
ejpam-2465	75	9	(	(	PUNCT
ejpam-2465	75	10	t	t	PROPN
ejpam-2465	75	11	−	−	PROPN
ejpam-2465	75	12	s)β2−1u(s)ds	s)β2−1u(s)ds	PROPN
ejpam-2465	75	13	,	,	PUNCT
ejpam-2465	75	14	then	then	ADV
ejpam-2465	75	15	u(t)≤	u(t)≤	PROPN
ejpam-2465	75	16	a(t	a(t	PROPN
ejpam-2465	75	17	)	)	PUNCT
ejpam-2465	76	1	+	+	CCONJ
ejpam-2465	77	1	∞	∞	NUM
ejpam-2465	77	2	∑	∑	PUNCT
ejpam-2465	77	3	k=1	k=1	PROPN
ejpam-2465	77	4	�	�	PROPN
ejpam-2465	77	5	(	(	PUNCT
ejpam-2465	77	6	b1γ(β1	b1γ(β1	PROPN
ejpam-2465	77	7	)	)	PUNCT
ejpam-2465	77	8	)	)	PUNCT
ejpam-2465	78	1	k	k	X
ejpam-2465	78	2	γ(kβ1	γ(kβ1	ADJ
ejpam-2465	78	3	)	)	PUNCT
ejpam-2465	78	4	∫	∫	PROPN
ejpam-2465	79	1	t	t	PROPN
ejpam-2465	79	2	0	0	NUM
ejpam-2465	79	3	(	(	PUNCT
ejpam-2465	79	4	t	t	PROPN
ejpam-2465	79	5	−	−	PROPN
ejpam-2465	79	6	s)kβ1−1a(s)ds+	s)kβ1−1a(s)ds+	PROPN
ejpam-2465	79	7	(	(	PUNCT
ejpam-2465	79	8	b2γ(β2	b2γ(β2	NOUN
ejpam-2465	79	9	)	)	PUNCT
ejpam-2465	79	10	)	)	PUNCT
ejpam-2465	80	1	k	k	PROPN
ejpam-2465	80	2	γ(kβ2	γ(kβ2	PROPN
ejpam-2465	80	3	)	)	PUNCT
ejpam-2465	80	4	∫	∫	PROPN
ejpam-2465	81	1	t	t	PROPN
ejpam-2465	81	2	0	0	NUM
ejpam-2465	82	1	(	(	PUNCT
ejpam-2465	82	2	t	t	PROPN
ejpam-2465	82	3	−	−	PROPN
ejpam-2465	82	4	s)kβ2−1a(s)ds	s)kβ2−1a(s)ds	PROPN
ejpam-2465	82	5	�	�	PROPN
ejpam-2465	82	6	.	.	PUNCT
ejpam-2465	83	1	remark	remark	PROPN
ejpam-2465	83	2	3	3	NUM
ejpam-2465	83	3	.	.	PUNCT
ejpam-2465	84	1	under	under	ADP
ejpam-2465	84	2	the	the	DET
ejpam-2465	84	3	hypotheses	hypothesis	NOUN
ejpam-2465	84	4	of	of	ADP
ejpam-2465	84	5	remark	remark	NOUN
ejpam-2465	84	6	2	2	NUM
ejpam-2465	84	7	,	,	PUNCT
ejpam-2465	84	8	let	let	VERB
ejpam-2465	84	9	a(t	a(t	NOUN
ejpam-2465	84	10	)	)	PUNCT
ejpam-2465	84	11	is	be	AUX
ejpam-2465	84	12	a	a	DET
ejpam-2465	84	13	nondecreasing	nondecrease	VERB
ejpam-2465	84	14	function	function	NOUN
ejpam-2465	84	15	on	on	ADP
ejpam-2465	84	16	0≤	0≤	NUM
ejpam-2465	84	17	t	t	NOUN
ejpam-2465	84	18	<	<	X
ejpam-2465	84	19	b.	b.	PROPN
ejpam-2465	85	1	then	then	ADV
ejpam-2465	85	2	we	we	PRON
ejpam-2465	85	3	have	have	VERB
ejpam-2465	85	4	u(t)≤	u(t)≤	NOUN
ejpam-2465	85	5	a(t	a(t	NOUN
ejpam-2465	85	6	)	)	PUNCT
ejpam-2465	85	7	�	�	PROPN
ejpam-2465	85	8	eβ1	eβ1	NOUN
ejpam-2465	85	9	�	�	PROPN
ejpam-2465	85	10	b1γ(β1)t	b1γ(β1)t	PROPN
ejpam-2465	85	11	β1	β1	PROPN
ejpam-2465	85	12	�	�	PROPN
ejpam-2465	85	13	+	+	CCONJ
ejpam-2465	85	14	eβ2	eβ2	PROPN
ejpam-2465	85	15	�	�	PROPN
ejpam-2465	85	16	b2γ(β2)t	b2γ(β2)t	PROPN
ejpam-2465	85	17	β2	β2	PROPN
ejpam-2465	85	18	�	�	PROPN
ejpam-2465	85	19	�	�	PROPN
ejpam-2465	85	20	,	,	PUNCT
ejpam-2465	85	21	where	where	SCONJ
ejpam-2465	85	22	eα	eα	NOUN
ejpam-2465	85	23	is	be	AUX
ejpam-2465	85	24	the	the	DET
ejpam-2465	85	25	mittag	mittag	ADJ
ejpam-2465	85	26	-	-	PUNCT
ejpam-2465	85	27	leffler	leffler	NOUN
ejpam-2465	85	28	function	function	NOUN
ejpam-2465	85	29	[	[	X
ejpam-2465	85	30	15	15	NUM
ejpam-2465	85	31	]	]	PUNCT
ejpam-2465	85	32	defined	define	VERB
ejpam-2465	85	33	by	by	ADP
ejpam-2465	85	34	eα[z	eα[z	PROPN
ejpam-2465	85	35	]	]	X
ejpam-2465	85	36	=	=	PUNCT
ejpam-2465	85	37	∑∞	∑∞	NOUN
ejpam-2465	85	38	k=0	k=0	PROPN
ejpam-2465	85	39	zk	zk	PROPN
ejpam-2465	85	40	γ(kα+1	γ(kα+1	NOUN
ejpam-2465	85	41	)	)	PUNCT
ejpam-2465	85	42	,	,	PUNCT
ejpam-2465	85	43	z	z	PROPN
ejpam-2465	85	44	∈	∈	PROPN
ejpam-2465	85	45	c.	c.	PROPN
ejpam-2465	85	46	3	3	NUM
ejpam-2465	85	47	.	.	PUNCT
ejpam-2465	85	48	existence	existence	NOUN
ejpam-2465	85	49	and	and	CCONJ
ejpam-2465	85	50	uniqueness	uniqueness	NOUN
ejpam-2465	85	51	of	of	ADP
ejpam-2465	85	52	mild	mild	ADJ
ejpam-2465	85	53	solutions	solution	NOUN
ejpam-2465	85	54	we	we	PRON
ejpam-2465	85	55	recall	recall	VERB
ejpam-2465	85	56	the	the	DET
ejpam-2465	85	57	following	follow	VERB
ejpam-2465	85	58	definition	definition	NOUN
ejpam-2465	85	59	of	of	ADP
ejpam-2465	85	60	a	a	DET
ejpam-2465	85	61	mild	mild	ADJ
ejpam-2465	85	62	solution	solution	NOUN
ejpam-2465	85	63	for	for	ADP
ejpam-2465	85	64	the	the	DET
ejpam-2465	85	65	nonlocal	nonlocal	ADJ
ejpam-2465	85	66	cauchy	cauchy	ADJ
ejpam-2465	85	67	problem	problem	NOUN
ejpam-2465	85	68	(	(	PUNCT
ejpam-2465	85	69	1	1	NUM
ejpam-2465	85	70	)	)	PUNCT
ejpam-2465	85	71	.	.	PUNCT
ejpam-2465	86	1	for	for	ADP
ejpam-2465	86	2	more	more	ADJ
ejpam-2465	86	3	details	detail	NOUN
ejpam-2465	86	4	,	,	PUNCT
ejpam-2465	86	5	one	one	PRON
ejpam-2465	86	6	can	can	AUX
ejpam-2465	86	7	see	see	VERB
ejpam-2465	86	8	[	[	X
ejpam-2465	86	9	20	20	NUM
ejpam-2465	86	10	,	,	PUNCT
ejpam-2465	86	11	24	24	NUM
ejpam-2465	86	12	]	]	PUNCT
ejpam-2465	86	13	.	.	PUNCT
ejpam-2465	87	1	definition	definition	NOUN
ejpam-2465	87	2	4	4	NUM
ejpam-2465	87	3	.	.	PUNCT
ejpam-2465	88	1	by	by	ADP
ejpam-2465	88	2	the	the	DET
ejpam-2465	88	3	mild	mild	ADJ
ejpam-2465	88	4	solution	solution	NOUN
ejpam-2465	88	5	of	of	ADP
ejpam-2465	88	6	the	the	DET
ejpam-2465	88	7	nonlocal	nonlocal	ADJ
ejpam-2465	88	8	cauchy	cauchy	ADJ
ejpam-2465	88	9	problem	problem	NOUN
ejpam-2465	88	10	(	(	PUNCT
ejpam-2465	88	11	1	1	NUM
ejpam-2465	88	12	)	)	PUNCT
ejpam-2465	88	13	,	,	PUNCT
ejpam-2465	88	14	we	we	PRON
ejpam-2465	88	15	mean	mean	VERB
ejpam-2465	88	16	that	that	SCONJ
ejpam-2465	88	17	the	the	DET
ejpam-2465	88	18	function	function	NOUN
ejpam-2465	88	19	x	x	SYM
ejpam-2465	88	20	∈	∈	PROPN
ejpam-2465	88	21	c(j	c(j	PROPN
ejpam-2465	88	22	,	,	PUNCT
ejpam-2465	88	23	e	e	NOUN
ejpam-2465	88	24	)	)	PUNCT
ejpam-2465	88	25	which	which	PRON
ejpam-2465	88	26	satisfies	satisfy	VERB
ejpam-2465	88	27	x(t	x(t	PROPN
ejpam-2465	88	28	)	)	PUNCT
ejpam-2465	89	1	=	=	PUNCT
ejpam-2465	89	2	s(t)(x0	s(t)(x0	NOUN
ejpam-2465	89	3	−	−	PROPN
ejpam-2465	89	4	g(x	g(x	NOUN
ejpam-2465	89	5	)	)	PUNCT
ejpam-2465	89	6	)	)	PUNCT
ejpam-2465	90	1	+	+	CCONJ
ejpam-2465	90	2	∫	∫	PROPN
ejpam-2465	90	3	t	t	PROPN
ejpam-2465	90	4	0	0	NUM
ejpam-2465	90	5	(	(	PUNCT
ejpam-2465	90	6	t	t	NOUN
ejpam-2465	90	7	−	−	PROPN
ejpam-2465	90	8	s)α−1	s)α−1	NOUN
ejpam-2465	90	9	t	t	PROPN
ejpam-2465	90	10	(	(	PUNCT
ejpam-2465	90	11	t	t	PROPN
ejpam-2465	90	12	−	−	PROPN
ejpam-2465	90	13	s	s	PART
ejpam-2465	90	14	)	)	PUNCT
ejpam-2465	90	15	f	f	PROPN
ejpam-2465	90	16	(	(	PUNCT
ejpam-2465	90	17	s	s	PROPN
ejpam-2465	90	18	,	,	PUNCT
ejpam-2465	90	19	x(s	x(s	PROPN
ejpam-2465	90	20	)	)	PUNCT
ejpam-2465	90	21	,	,	PUNCT
ejpam-2465	90	22	iβ	iβ	ADP
ejpam-2465	90	23	x(s))ds	x(s))ds	PROPN
ejpam-2465	90	24	,	,	PUNCT
ejpam-2465	90	25	t	t	PROPN
ejpam-2465	90	26	∈	∈	PROPN
ejpam-2465	91	1	[	[	X
ejpam-2465	91	2	0	0	NUM
ejpam-2465	91	3	,	,	PUNCT
ejpam-2465	91	4	b	b	NOUN
ejpam-2465	91	5	]	]	X
ejpam-2465	91	6	,	,	PUNCT
ejpam-2465	91	7	where	where	SCONJ
ejpam-2465	91	8	s(t	s(t	NOUN
ejpam-2465	91	9	)	)	PUNCT
ejpam-2465	91	10	=	=	SYM
ejpam-2465	92	1	∫	∫	PROPN
ejpam-2465	92	2	∞	∞	NUM
ejpam-2465	92	3	0	0	NUM
ejpam-2465	92	4	ξα(θ	ξα(θ	NUM
ejpam-2465	92	5	)	)	PUNCT
ejpam-2465	93	1	q(t	q(t	ADJ
ejpam-2465	93	2	αθ	αθ	INTJ
ejpam-2465	93	3	)	)	PUNCT
ejpam-2465	93	4	dθ	dθ	PROPN
ejpam-2465	93	5	,	,	PUNCT
ejpam-2465	93	6	t	t	PROPN
ejpam-2465	93	7	(	(	PUNCT
ejpam-2465	93	8	t	t	PROPN
ejpam-2465	93	9	)	)	PUNCT
ejpam-2465	94	1	=	=	NOUN
ejpam-2465	94	2	α	α	NOUN
ejpam-2465	94	3	∫	∫	PROPN
ejpam-2465	94	4	∞	∞	NUM
ejpam-2465	94	5	0	0	NUM
ejpam-2465	94	6	θξα(θ	θξα(θ	NOUN
ejpam-2465	94	7	)	)	PUNCT
ejpam-2465	95	1	q(t	q(t	ADJ
ejpam-2465	95	2	αθ	αθ	NOUN
ejpam-2465	95	3	)	)	PUNCT
ejpam-2465	95	4	dθ	dθ	PROPN
ejpam-2465	95	5	,	,	PUNCT
ejpam-2465	95	6	ξα(θ	ξα(θ	ADV
ejpam-2465	95	7	)	)	PUNCT
ejpam-2465	95	8	=	=	SYM
ejpam-2465	95	9	1	1	NUM
ejpam-2465	95	10	α	α	NOUN
ejpam-2465	95	11	θ−1−	θ−1−	VERB
ejpam-2465	95	12	1	1	NUM
ejpam-2465	95	13	αρα(θ	αρα(θ	NOUN
ejpam-2465	95	14	−	−	ADP
ejpam-2465	95	15	1	1	NUM
ejpam-2465	95	16	α	α	NOUN
ejpam-2465	95	17	)	)	PUNCT
ejpam-2465	95	18	,	,	PUNCT
ejpam-2465	95	19	ρα	ρα	PRON
ejpam-2465	95	20	(	(	PUNCT
ejpam-2465	95	21	θ	θ	NOUN
ejpam-2465	95	22	)	)	PUNCT
ejpam-2465	96	1	=	=	PUNCT
ejpam-2465	96	2	1	1	NUM
ejpam-2465	96	3	π	π	NOUN
ejpam-2465	96	4	∞	∞	NUM
ejpam-2465	96	5	∑	∑	PUNCT
ejpam-2465	96	6	n=1	n=1	PROPN
ejpam-2465	96	7	(	(	PUNCT
ejpam-2465	96	8	−1)n−1θ−αn−1γ(nα+	−1)n−1θ−αn−1γ(nα+	PROPN
ejpam-2465	96	9	1	1	NUM
ejpam-2465	96	10	)	)	PUNCT
ejpam-2465	96	11	n	n	CCONJ
ejpam-2465	96	12	!	!	PUNCT
ejpam-2465	96	13	sin(nπα	sin(nπα	NOUN
ejpam-2465	96	14	)	)	PUNCT
ejpam-2465	96	15	,	,	PUNCT
ejpam-2465	96	16	θ	θ	PROPN
ejpam-2465	96	17	∈	∈	PROPN
ejpam-2465	96	18	(	(	PUNCT
ejpam-2465	96	19	0,∞	0,∞	NOUN
ejpam-2465	96	20	)	)	PUNCT
ejpam-2465	96	21	,	,	PUNCT
ejpam-2465	96	22	where	where	SCONJ
ejpam-2465	96	23	ξα	ξα	NOUN
ejpam-2465	96	24	is	be	AUX
ejpam-2465	96	25	the	the	DET
ejpam-2465	96	26	probability	probability	NOUN
ejpam-2465	96	27	density	density	NOUN
ejpam-2465	96	28	function	function	NOUN
ejpam-2465	96	29	defined	define	VERB
ejpam-2465	96	30	on	on	ADP
ejpam-2465	96	31	(	(	PUNCT
ejpam-2465	96	32	0,∞	0,∞	NOUN
ejpam-2465	96	33	)	)	PUNCT
ejpam-2465	96	34	,	,	PUNCT
ejpam-2465	96	35	which	which	PRON
ejpam-2465	96	36	has	have	VERB
ejpam-2465	96	37	properties	property	NOUN
ejpam-2465	96	38	ξα(θ	ξα(θ	NUM
ejpam-2465	96	39	)	)	PUNCT
ejpam-2465	96	40	≥	≥	NOUN
ejpam-2465	96	41	0	0	NUM
ejpam-2465	96	42	for	for	ADP
ejpam-2465	96	43	all	all	PRON
ejpam-2465	96	44	θ	θ	PROPN
ejpam-2465	96	45	∈	∈	PROPN
ejpam-2465	96	46	(	(	PUNCT
ejpam-2465	96	47	0,∞	0,∞	NOUN
ejpam-2465	96	48	)	)	PUNCT
ejpam-2465	96	49	and	and	CCONJ
ejpam-2465	96	50	∫	∫	PROPN
ejpam-2465	96	51	∞	∞	NUM
ejpam-2465	96	52	0	0	NUM
ejpam-2465	96	53	ξα(θ	ξα(θ	NUM
ejpam-2465	96	54	)	)	PUNCT
ejpam-2465	96	55	dθ	dθ	PROPN
ejpam-2465	96	56	=	=	SYM
ejpam-2465	96	57	1	1	NUM
ejpam-2465	96	58	,	,	PUNCT
ejpam-2465	96	59	∫	∫	PROPN
ejpam-2465	96	60	∞	∞	PROPN
ejpam-2465	96	61	0	0	NUM
ejpam-2465	96	62	θξα(θ	θξα(θ	NOUN
ejpam-2465	96	63	)	)	PUNCT
ejpam-2465	96	64	dθ	dθ	PROPN
ejpam-2465	96	65	=	=	NOUN
ejpam-2465	96	66	1	1	NUM
ejpam-2465	96	67	γ(1+α	γ(1+α	NUM
ejpam-2465	96	68	)	)	PUNCT
ejpam-2465	96	69	.	.	PUNCT
ejpam-2465	97	1	(	(	PUNCT
ejpam-2465	97	2	3	3	X
ejpam-2465	97	3	)	)	PUNCT
ejpam-2465	97	4	m.	m.	NOUN
ejpam-2465	97	5	abbas	abbas	PROPN
ejpam-2465	97	6	/	/	SYM
ejpam-2465	97	7	eur	eur	PROPN
ejpam-2465	97	8	.	.	PUNCT
ejpam-2465	98	1	j.	j.	PROPN
ejpam-2465	98	2	pure	pure	PROPN
ejpam-2465	98	3	appl	appl	PROPN
ejpam-2465	98	4	.	.	PROPN
ejpam-2465	98	5	math	math	PROPN
ejpam-2465	98	6	,	,	PUNCT
ejpam-2465	98	7	8	8	NUM
ejpam-2465	98	8	(	(	PUNCT
ejpam-2465	98	9	2015	2015	NUM
ejpam-2465	98	10	)	)	PUNCT
ejpam-2465	98	11	,	,	PUNCT
ejpam-2465	98	12	478	478	NUM
ejpam-2465	98	13	-	-	SYM
ejpam-2465	98	14	498	498	NUM
ejpam-2465	98	15	482	482	NUM
ejpam-2465	98	16	before	before	ADP
ejpam-2465	98	17	stating	state	VERB
ejpam-2465	98	18	and	and	CCONJ
ejpam-2465	98	19	proving	prove	VERB
ejpam-2465	98	20	the	the	DET
ejpam-2465	98	21	main	main	ADJ
ejpam-2465	98	22	results	result	NOUN
ejpam-2465	98	23	,	,	PUNCT
ejpam-2465	98	24	we	we	PRON
ejpam-2465	98	25	introduce	introduce	VERB
ejpam-2465	98	26	the	the	DET
ejpam-2465	98	27	following	follow	VERB
ejpam-2465	98	28	hypotheses	hypothesis	NOUN
ejpam-2465	98	29	.	.	PUNCT
ejpam-2465	99	1	(	(	PUNCT
ejpam-2465	99	2	h1	h1	NOUN
ejpam-2465	99	3	)	)	PUNCT
ejpam-2465	99	4	q(t	q(t	PROPN
ejpam-2465	99	5	)	)	PUNCT
ejpam-2465	99	6	is	be	AUX
ejpam-2465	99	7	a	a	DET
ejpam-2465	99	8	compact	compact	ADJ
ejpam-2465	99	9	operator	operator	NOUN
ejpam-2465	99	10	for	for	ADP
ejpam-2465	99	11	every	every	DET
ejpam-2465	99	12	t	t	NOUN
ejpam-2465	99	13	>	>	X
ejpam-2465	99	14	0	0	NUM
ejpam-2465	99	15	.	.	PUNCT
ejpam-2465	100	1	(	(	PUNCT
ejpam-2465	100	2	h2	h2	NOUN
ejpam-2465	100	3	)	)	PUNCT
ejpam-2465	100	4	the	the	DET
ejpam-2465	100	5	function	function	NOUN
ejpam-2465	101	1	f	f	NOUN
ejpam-2465	101	2	:	:	PUNCT
ejpam-2465	101	3	j	j	PROPN
ejpam-2465	101	4	×	×	PROPN
ejpam-2465	101	5	e	e	X
ejpam-2465	101	6	×	×	NOUN
ejpam-2465	101	7	e	e	PROPN
ejpam-2465	101	8	→	→	PUNCT
ejpam-2465	101	9	e	e	NOUN
ejpam-2465	101	10	satisfies	satisfy	VERB
ejpam-2465	101	11	that	that	SCONJ
ejpam-2465	101	12	f	f	PROPN
ejpam-2465	101	13	(	(	PUNCT
ejpam-2465	101	14	.	.	PUNCT
ejpam-2465	101	15	,	,	PUNCT
ejpam-2465	101	16	x	x	X
ejpam-2465	101	17	,	,	PUNCT
ejpam-2465	101	18	y	y	PROPN
ejpam-2465	101	19	)	)	PUNCT
ejpam-2465	101	20	:	:	PUNCT
ejpam-2465	101	21	j	j	X
ejpam-2465	101	22	→	→	PUNCT
ejpam-2465	101	23	e	e	PROPN
ejpam-2465	101	24	is	be	AUX
ejpam-2465	101	25	measurable	measurable	ADJ
ejpam-2465	101	26	for	for	ADP
ejpam-2465	101	27	all	all	DET
ejpam-2465	101	28	x	x	SYM
ejpam-2465	101	29	,	,	PUNCT
ejpam-2465	101	30	y	y	PROPN
ejpam-2465	101	31	∈	∈	PROPN
ejpam-2465	101	32	c(j	c(j	PROPN
ejpam-2465	101	33	,	,	PUNCT
ejpam-2465	101	34	e	e	NOUN
ejpam-2465	101	35	)	)	PUNCT
ejpam-2465	101	36	and	and	CCONJ
ejpam-2465	101	37	f	f	PROPN
ejpam-2465	101	38	(	(	PUNCT
ejpam-2465	101	39	t	t	PROPN
ejpam-2465	101	40	,	,	PUNCT
ejpam-2465	101	41	.	.	PUNCT
ejpam-2465	101	42	,	,	PUNCT
ejpam-2465	101	43	.	.	PUNCT
ejpam-2465	101	44	)	)	PUNCT
ejpam-2465	102	1	:	:	PUNCT
ejpam-2465	103	1	e	e	X
ejpam-2465	103	2	×	×	NOUN
ejpam-2465	103	3	e	e	PROPN
ejpam-2465	103	4	→	→	SYM
ejpam-2465	103	5	e	e	X
ejpam-2465	103	6	is	be	AUX
ejpam-2465	103	7	continuous	continuous	ADJ
ejpam-2465	103	8	for	for	ADP
ejpam-2465	103	9	all	all	DET
ejpam-2465	103	10	t	t	NOUN
ejpam-2465	103	11	∈	∈	PROPN
ejpam-2465	103	12	j	j	PROPN
ejpam-2465	103	13	and	and	CCONJ
ejpam-2465	103	14	there	there	PRON
ejpam-2465	103	15	exists	exist	VERB
ejpam-2465	103	16	a	a	DET
ejpam-2465	103	17	positive	positive	ADJ
ejpam-2465	103	18	function	function	NOUN
ejpam-2465	103	19	µ	µ	X
ejpam-2465	103	20	(	(	PUNCT
ejpam-2465	103	21	·	·	PUNCT
ejpam-2465	103	22	)	)	PUNCT
ejpam-2465	103	23	∈	∈	PROPN
ejpam-2465	103	24	lp(j	lp(j	NOUN
ejpam-2465	103	25	,	,	PUNCT
ejpam-2465	103	26	r+	r+	X
ejpam-2465	103	27	)	)	PUNCT
ejpam-2465	103	28	for	for	ADP
ejpam-2465	103	29	some	some	DET
ejpam-2465	103	30	p	p	NOUN
ejpam-2465	103	31	with	with	ADP
ejpam-2465	103	32	1	1	NUM
ejpam-2465	103	33	<	<	X
ejpam-2465	103	34	p	p	X
ejpam-2465	103	35	<	<	X
ejpam-2465	103	36	∞	∞	NUM
ejpam-2465	103	37	such	such	ADJ
ejpam-2465	103	38	that	that	SCONJ
ejpam-2465	104	1	|	|	NOUN
ejpam-2465	104	2	f	f	X
ejpam-2465	104	3	(	(	PUNCT
ejpam-2465	104	4	t	t	PROPN
ejpam-2465	104	5	,	,	PUNCT
ejpam-2465	104	6	x	x	X
ejpam-2465	104	7	,	,	PUNCT
ejpam-2465	104	8	y)|	y)|	PROPN
ejpam-2465	104	9	≤	≤	PROPN
ejpam-2465	104	10	µ(t)(‖x‖+	µ(t)(‖x‖+	VERB
ejpam-2465	104	11	‖y‖	‖y‖	PROPN
ejpam-2465	104	12	)	)	PUNCT
ejpam-2465	104	13	,	,	PUNCT
ejpam-2465	104	14	x	x	X
ejpam-2465	104	15	,	,	PUNCT
ejpam-2465	104	16	y	y	PROPN
ejpam-2465	104	17	∈	∈	PROPN
ejpam-2465	104	18	c(j	c(j	PROPN
ejpam-2465	104	19	,	,	PUNCT
ejpam-2465	104	20	e	e	NOUN
ejpam-2465	104	21	)	)	PUNCT
ejpam-2465	104	22	,	,	PUNCT
ejpam-2465	104	23	t	t	PROPN
ejpam-2465	104	24	∈	∈	PROPN
ejpam-2465	104	25	j	j	PROPN
ejpam-2465	104	26	.	.	PUNCT
ejpam-2465	105	1	(	(	PUNCT
ejpam-2465	105	2	h3	h3	NOUN
ejpam-2465	105	3	)	)	PUNCT
ejpam-2465	105	4	the	the	DET
ejpam-2465	105	5	function	function	NOUN
ejpam-2465	105	6	g	g	PROPN
ejpam-2465	105	7	:	:	PUNCT
ejpam-2465	105	8	c(j	c(j	NOUN
ejpam-2465	105	9	,	,	PUNCT
ejpam-2465	105	10	e)→	e)→	ADJ
ejpam-2465	105	11	e	e	X
ejpam-2465	105	12	is	be	AUX
ejpam-2465	105	13	completely	completely	ADV
ejpam-2465	105	14	continuous	continuous	ADJ
ejpam-2465	105	15	and	and	CCONJ
ejpam-2465	105	16	there	there	PRON
ejpam-2465	105	17	exist	exist	VERB
ejpam-2465	105	18	constants	constant	NOUN
ejpam-2465	105	19	l	l	PROPN
ejpam-2465	105	20	>	>	X
ejpam-2465	105	21	0	0	NUM
ejpam-2465	105	22	,	,	PUNCT
ejpam-2465	105	23	l′	l′	VERB
ejpam-2465	105	24	>	>	X
ejpam-2465	105	25	0	0	PUNCT
ejpam-2465	106	1	such	such	ADJ
ejpam-2465	106	2	that	that	SCONJ
ejpam-2465	106	3	:	:	PUNCT
ejpam-2465	106	4	|g(x)|	|g(x)|	NOUN
ejpam-2465	106	5	≤	≤	NUM
ejpam-2465	106	6	l‖x‖+	l‖x‖+	ADP
ejpam-2465	106	7	l	l	NOUN
ejpam-2465	106	8	′	′	NOUN
ejpam-2465	106	9	,	,	PUNCT
ejpam-2465	106	10	x	x	PROPN
ejpam-2465	106	11	∈	∈	PROPN
ejpam-2465	106	12	c(j	c(j	PROPN
ejpam-2465	106	13	,	,	PUNCT
ejpam-2465	106	14	e	e	NOUN
ejpam-2465	106	15	)	)	PUNCT
ejpam-2465	106	16	.	.	PUNCT
ejpam-2465	107	1	for	for	ADP
ejpam-2465	107	2	each	each	DET
ejpam-2465	107	3	positive	positive	ADJ
ejpam-2465	107	4	constant	constant	ADJ
ejpam-2465	107	5	k	k	NOUN
ejpam-2465	107	6	,	,	PUNCT
ejpam-2465	107	7	let	let	VERB
ejpam-2465	107	8	bk	bk	VERB
ejpam-2465	107	9	=	=	PUNCT
ejpam-2465	107	10	{	{	PUNCT
ejpam-2465	107	11	x	x	PROPN
ejpam-2465	107	12	∈	∈	PROPN
ejpam-2465	107	13	c(j	c(j	PROPN
ejpam-2465	107	14	,	,	PUNCT
ejpam-2465	107	15	e	e	NOUN
ejpam-2465	107	16	)	)	PUNCT
ejpam-2465	107	17	:	:	PUNCT
ejpam-2465	107	18	‖x‖	‖x‖	VERB
ejpam-2465	107	19	≤	≤	NUM
ejpam-2465	108	1	k	k	NOUN
ejpam-2465	108	2	}	}	PUNCT
ejpam-2465	108	3	.	.	PUNCT
ejpam-2465	109	1	then	then	ADV
ejpam-2465	109	2	bk	bk	PRON
ejpam-2465	109	3	is	be	VERB
ejpam-2465	109	4	clearly	clearly	ADV
ejpam-2465	109	5	a	a	DET
ejpam-2465	109	6	bounded	bounded	ADJ
ejpam-2465	109	7	closed	close	VERB
ejpam-2465	109	8	and	and	CCONJ
ejpam-2465	109	9	convex	convex	NOUN
ejpam-2465	109	10	subset	subset	VERB
ejpam-2465	109	11	in	in	ADP
ejpam-2465	109	12	c(j	c(j	PROPN
ejpam-2465	109	13	,	,	PUNCT
ejpam-2465	109	14	e	e	NOUN
ejpam-2465	109	15	)	)	PUNCT
ejpam-2465	109	16	.	.	PUNCT
ejpam-2465	110	1	the	the	DET
ejpam-2465	110	2	following	follow	VERB
ejpam-2465	110	3	existence	existence	NOUN
ejpam-2465	110	4	result	result	VERB
ejpam-2465	110	5	for	for	ADP
ejpam-2465	110	6	nonlocal	nonlocal	ADJ
ejpam-2465	110	7	cauchy	cauchy	ADJ
ejpam-2465	110	8	problem	problem	NOUN
ejpam-2465	110	9	(	(	PUNCT
ejpam-2465	110	10	1	1	X
ejpam-2465	110	11	)	)	PUNCT
ejpam-2465	110	12	is	be	AUX
ejpam-2465	110	13	based	base	VERB
ejpam-2465	110	14	on	on	ADP
ejpam-2465	110	15	schauder	schauder	NOUN
ejpam-2465	110	16	fixed	fix	VERB
ejpam-2465	110	17	point	point	NOUN
ejpam-2465	110	18	theorem	theorem	VERB
ejpam-2465	110	19	.	.	PUNCT
ejpam-2465	110	20	theorem	theorem	NOUN
ejpam-2465	110	21	2	2	NUM
ejpam-2465	110	22	.	.	PUNCT
ejpam-2465	111	1	if	if	SCONJ
ejpam-2465	111	2	assumptions	assumption	NOUN
ejpam-2465	111	3	(	(	PUNCT
ejpam-2465	111	4	h1)−(h3	h1)−(h3	X
ejpam-2465	111	5	)	)	PUNCT
ejpam-2465	111	6	are	be	AUX
ejpam-2465	111	7	satisfied	satisfied	ADJ
ejpam-2465	111	8	,	,	PUNCT
ejpam-2465	111	9	then	then	ADV
ejpam-2465	111	10	the	the	DET
ejpam-2465	111	11	nonlocal	nonlocal	ADJ
ejpam-2465	111	12	cauchy	cauchy	ADJ
ejpam-2465	111	13	problem	problem	NOUN
ejpam-2465	111	14	(	(	PUNCT
ejpam-2465	111	15	1	1	X
ejpam-2465	111	16	)	)	PUNCT
ejpam-2465	111	17	has	have	VERB
ejpam-2465	111	18	a	a	DET
ejpam-2465	111	19	mild	mild	ADJ
ejpam-2465	111	20	solution	solution	NOUN
ejpam-2465	111	21	provided	provide	VERB
ejpam-2465	111	22	that	that	SCONJ
ejpam-2465	111	23	m	m	PROPN
ejpam-2465	111	24			NOUN
ejpam-2465	111	25	l	l	NOUN
ejpam-2465	111	26	−	−	PROPN
ejpam-2465	111	27	mkb	mkb	NOUN
ejpam-2465	111	28	α−	α−	ADP
ejpam-2465	111	29	1	1	NUM
ejpam-2465	111	30	p	p	NOUN
ejpam-2465	111	31	γ(1+α	γ(1+α	PROPN
ejpam-2465	111	32	)	)	PUNCT
ejpam-2465	111	33	�	�	PROPN
ejpam-2465	111	34	p−	p−	PROPN
ejpam-2465	111	35	1	1	NUM
ejpam-2465	111	36	p+	p+	NOUN
ejpam-2465	111	37	(	(	PUNCT
ejpam-2465	111	38	α−	α−	ADP
ejpam-2465	111	39	1)p−	1)p−	NUM
ejpam-2465	111	40	1	1	NUM
ejpam-2465	111	41	�	�	PROPN
ejpam-2465	111	42	p−1	p−1	PROPN
ejpam-2465	111	43	p	p	PROPN
ejpam-2465	111	44			PROPN
ejpam-2465	111	45	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	111	46	,	,	PUNCT
ejpam-2465	111	47	r+	r+	PUNCT
ejpam-2465	111	48	)	)	PUNCT
ejpam-2465	112	1	+	+	CCONJ
ejpam-2465	112	2	b	b	X
ejpam-2465	112	3	β+	β+	PUNCT
ejpam-2465	112	4	p−1	p−1	PROPN
ejpam-2465	112	5	p2	p2	PROPN
ejpam-2465	112	6	γ(1	γ(1	PROPN
ejpam-2465	112	7	+	+	CCONJ
ejpam-2465	112	8	β	β	NOUN
ejpam-2465	112	9	)	)	PUNCT
ejpam-2465	112	10	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	112	11	(	(	PUNCT
ejpam-2465	112	12	j	j	NOUN
ejpam-2465	112	13	,	,	PUNCT
ejpam-2465	112	14	r+	r+	PROPN
ejpam-2465	112	15	)	)	PUNCT
ejpam-2465	112	16			PROPN
ejpam-2465	112	17			PUNCT
ejpam-2465	113	1			PROPN
ejpam-2465	113	2			PROPN
ejpam-2465	113	3	<	<	X
ejpam-2465	113	4	1	1	NUM
ejpam-2465	113	5	.	.	PUNCT
ejpam-2465	113	6	proof	proof	NOUN
ejpam-2465	113	7	.	.	PUNCT
ejpam-2465	114	1	for	for	ADP
ejpam-2465	114	2	any	any	DET
ejpam-2465	114	3	positive	positive	ADJ
ejpam-2465	114	4	constant	constant	ADJ
ejpam-2465	114	5	k	k	NOUN
ejpam-2465	114	6	and	and	CCONJ
ejpam-2465	114	7	x	x	PROPN
ejpam-2465	114	8	∈	∈	PROPN
ejpam-2465	114	9	bk	bk	PROPN
ejpam-2465	114	10	,	,	PUNCT
ejpam-2465	114	11	according	accord	VERB
ejpam-2465	114	12	to	to	ADP
ejpam-2465	114	13	(	(	PUNCT
ejpam-2465	114	14	2	2	NUM
ejpam-2465	114	15	)	)	PUNCT
ejpam-2465	114	16	and	and	CCONJ
ejpam-2465	114	17	(	(	PUNCT
ejpam-2465	114	18	h3	h3	NOUN
ejpam-2465	114	19	)	)	PUNCT
ejpam-2465	114	20	,	,	PUNCT
ejpam-2465	114	21	it	it	PRON
ejpam-2465	114	22	follows	follow	VERB
ejpam-2465	114	23	that	that	SCONJ
ejpam-2465	114	24	�	�	PROPN
ejpam-2465	114	25	�	�	PROPN
ejpam-2465	114	26	�	�	PROPN
ejpam-2465	114	27	�	�	PROPN
ejpam-2465	114	28	�	�	PROPN
ejpam-2465	114	29	∫	∫	PROPN
ejpam-2465	114	30	∞	∞	PROPN
ejpam-2465	114	31	0	0	NUM
ejpam-2465	114	32	ξα(θ	ξα(θ	NUM
ejpam-2465	114	33	)	)	PUNCT
ejpam-2465	115	1	q(t	q(t	ADJ
ejpam-2465	115	2	αθ	αθ	NOUN
ejpam-2465	115	3	)	)	PUNCT
ejpam-2465	115	4	(	(	PUNCT
ejpam-2465	115	5	x0	x0	PROPN
ejpam-2465	115	6	−	−	PROPN
ejpam-2465	115	7	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	115	8	�	�	PROPN
ejpam-2465	115	9	�	�	PROPN
ejpam-2465	115	10	�	�	PROPN
ejpam-2465	115	11	�	�	PROPN
ejpam-2465	115	12	�	�	PROPN
ejpam-2465	115	13	≤	≤	PROPN
ejpam-2465	115	14	m(|x0|+	m(|x0|+	PRON
ejpam-2465	115	15	lk+	lk+	NOUN
ejpam-2465	115	16	l	l	NOUN
ejpam-2465	115	17	′	′	NUM
ejpam-2465	115	18	)	)	PUNCT
ejpam-2465	115	19	.	.	PUNCT
ejpam-2465	116	1	(	(	PUNCT
ejpam-2465	116	2	4	4	X
ejpam-2465	116	3	)	)	PUNCT
ejpam-2465	116	4	therefore	therefore	ADV
ejpam-2465	116	5	,	,	PUNCT
ejpam-2465	116	6	the	the	DET
ejpam-2465	116	7	function	function	NOUN
ejpam-2465	116	8	∫∞	∫∞	NOUN
ejpam-2465	116	9	0	0	NUM
ejpam-2465	116	10	ξα(θ	ξα(θ	NUM
ejpam-2465	116	11	)	)	PUNCT
ejpam-2465	116	12	q(t	q(t	ADJ
ejpam-2465	116	13	αθ	αθ	NOUN
ejpam-2465	116	14	)	)	PUNCT
ejpam-2465	116	15	(	(	PUNCT
ejpam-2465	116	16	x0	x0	PROPN
ejpam-2465	116	17	−	−	PROPN
ejpam-2465	116	18	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	116	19	exists	exist	VERB
ejpam-2465	116	20	.	.	PUNCT
ejpam-2465	117	1	in	in	ADP
ejpam-2465	117	2	view	view	NOUN
ejpam-2465	117	3	of	of	ADP
ejpam-2465	117	4	(	(	PUNCT
ejpam-2465	117	5	2	2	NUM
ejpam-2465	117	6	)	)	PUNCT
ejpam-2465	117	7	,	,	PUNCT
ejpam-2465	117	8	(	(	PUNCT
ejpam-2465	117	9	3	3	X
ejpam-2465	117	10	)	)	PUNCT
ejpam-2465	117	11	and	and	CCONJ
ejpam-2465	117	12	(	(	PUNCT
ejpam-2465	117	13	h2	h2	NOUN
ejpam-2465	117	14	)	)	PUNCT
ejpam-2465	117	15	,	,	PUNCT
ejpam-2465	117	16	we	we	PRON
ejpam-2465	117	17	get	get	VERB
ejpam-2465	117	18	∫	∫	PROPN
ejpam-2465	117	19	t	t	PROPN
ejpam-2465	117	20	0	0	NUM
ejpam-2465	117	21	�	�	PROPN
ejpam-2465	117	22	�	�	PROPN
ejpam-2465	117	23	�	�	PROPN
ejpam-2465	117	24	�	�	PROPN
ejpam-2465	117	25	�	�	PROPN
ejpam-2465	117	26	∫	∫	PROPN
ejpam-2465	118	1	∞	∞	PROPN
ejpam-2465	118	2	0	0	NUM
ejpam-2465	118	3	θ	θ	PROPN
ejpam-2465	118	4	(	(	PUNCT
ejpam-2465	118	5	t	t	NOUN
ejpam-2465	118	6	−	−	PROPN
ejpam-2465	118	7	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	118	8	)	)	PUNCT
ejpam-2465	118	9	q((t	q((t	NOUN
ejpam-2465	119	1	−	−	PROPN
ejpam-2465	119	2	s)αθ	s)αθ	PROPN
ejpam-2465	119	3	)	)	PUNCT
ejpam-2465	119	4	f	f	PROPN
ejpam-2465	119	5	(	(	PUNCT
ejpam-2465	119	6	s	s	PROPN
ejpam-2465	119	7	,	,	PUNCT
ejpam-2465	119	8	x(s	x(s	PROPN
ejpam-2465	119	9	)	)	PUNCT
ejpam-2465	119	10	,	,	PUNCT
ejpam-2465	119	11	iβ	iβ	ADP
ejpam-2465	119	12	x(s))dθ	x(s))dθ	PROPN
ejpam-2465	119	13	�	�	PROPN
ejpam-2465	119	14	�	�	PROPN
ejpam-2465	119	15	�	�	PROPN
ejpam-2465	119	16	�	�	PROPN
ejpam-2465	119	17	�	�	PROPN
ejpam-2465	119	18	ds	ds	PROPN
ejpam-2465	119	19	≤m	≤m	PROPN
ejpam-2465	119	20	∫	∫	PROPN
ejpam-2465	119	21	t	t	PROPN
ejpam-2465	119	22	0	0	NUM
ejpam-2465	119	23	∫	∫	PROPN
ejpam-2465	119	24	∞	∞	NUM
ejpam-2465	119	25	0	0	NUM
ejpam-2465	119	26	θξα(θ	θξα(θ	NOUN
ejpam-2465	119	27	)	)	PUNCT
ejpam-2465	120	1	(	(	PUNCT
ejpam-2465	120	2	t	t	PROPN
ejpam-2465	120	3	−	−	PROPN
ejpam-2465	120	4	s)α−1	s)α−1	PROPN
ejpam-2465	120	5	�	�	PROPN
ejpam-2465	120	6	�	�	PROPN
ejpam-2465	120	7	f	f	PROPN
ejpam-2465	120	8	(	(	PUNCT
ejpam-2465	120	9	s	s	PROPN
ejpam-2465	120	10	,	,	PUNCT
ejpam-2465	120	11	x(s	x(s	PROPN
ejpam-2465	120	12	)	)	PUNCT
ejpam-2465	120	13	,	,	PUNCT
ejpam-2465	120	14	iβ	iβ	ADP
ejpam-2465	120	15	x(s	x(s	PROPN
ejpam-2465	120	16	)	)	PUNCT
ejpam-2465	120	17	)	)	PUNCT
ejpam-2465	120	18	�	�	PROPN
ejpam-2465	120	19	�	�	PROPN
ejpam-2465	120	20	dθds	dθds	PROPN
ejpam-2465	120	21	≤	≤	PROPN
ejpam-2465	120	22	m	m	VERB
ejpam-2465	120	23	γ(1+α	γ(1+α	PRON
ejpam-2465	120	24	)	)	PUNCT
ejpam-2465	121	1	∫	∫	PROPN
ejpam-2465	121	2	t	t	PROPN
ejpam-2465	121	3	0	0	NUM
ejpam-2465	122	1	(	(	PUNCT
ejpam-2465	122	2	t	t	PROPN
ejpam-2465	122	3	−	−	PROPN
ejpam-2465	122	4	s)α−1µ(s)(‖x‖+	s)α−1µ(s)(‖x‖+	PROPN
ejpam-2465	122	5	‖iβ	‖iβ	NUM
ejpam-2465	122	6	x‖)ds	x‖)ds	PROPN
ejpam-2465	122	7	≤	≤	PROPN
ejpam-2465	122	8	m	m	VERB
ejpam-2465	122	9	γ(1+α	γ(1+α	PRON
ejpam-2465	122	10	)	)	PUNCT
ejpam-2465	123	1	∫	∫	PROPN
ejpam-2465	123	2	t	t	PROPN
ejpam-2465	123	3	0	0	NUM
ejpam-2465	124	1	(	(	PUNCT
ejpam-2465	124	2	t	t	NOUN
ejpam-2465	124	3	−	−	PROPN
ejpam-2465	124	4	s)α−1µ(s)(k+	s)α−1µ(s)(k+	PROPN
ejpam-2465	124	5	k	k	PROPN
ejpam-2465	124	6	γ(β	γ(β	PROPN
ejpam-2465	124	7	)	)	PUNCT
ejpam-2465	125	1	∫	∫	PROPN
ejpam-2465	125	2	s	s	PART
ejpam-2465	125	3	0	0	NUM
ejpam-2465	125	4	(	(	PUNCT
ejpam-2465	125	5	s−τ)β−1dτ)ds	s−τ)β−1dτ)d	NOUN
ejpam-2465	125	6	m.	m.	NOUN
ejpam-2465	125	7	abbas	abbas	PROPN
ejpam-2465	125	8	/	/	SYM
ejpam-2465	125	9	eur	eur	PROPN
ejpam-2465	125	10	.	.	PUNCT
ejpam-2465	126	1	j.	j.	PROPN
ejpam-2465	126	2	pure	pure	PROPN
ejpam-2465	126	3	appl	appl	PROPN
ejpam-2465	126	4	.	.	PROPN
ejpam-2465	126	5	math	math	PROPN
ejpam-2465	126	6	,	,	PUNCT
ejpam-2465	126	7	8	8	NUM
ejpam-2465	126	8	(	(	PUNCT
ejpam-2465	126	9	2015	2015	NUM
ejpam-2465	126	10	)	)	PUNCT
ejpam-2465	126	11	,	,	PUNCT
ejpam-2465	126	12	478	478	NUM
ejpam-2465	126	13	-	-	SYM
ejpam-2465	126	14	498	498	NUM
ejpam-2465	126	15	483	483	NUM
ejpam-2465	126	16	=	=	SYM
ejpam-2465	126	17	mk	mk	PROPN
ejpam-2465	126	18	γ(1+α	γ(1+α	PROPN
ejpam-2465	126	19	)	)	PUNCT
ejpam-2465	126	20	∫	∫	PROPN
ejpam-2465	127	1	t	t	PROPN
ejpam-2465	127	2	0	0	NUM
ejpam-2465	127	3	(	(	PUNCT
ejpam-2465	127	4	t	t	PROPN
ejpam-2465	127	5	−	−	PROPN
ejpam-2465	127	6	s)α−1µ(s	s)α−1µ(	NOUN
ejpam-2465	127	7	)	)	PUNCT
ejpam-2465	127	8	�	�	PROPN
ejpam-2465	127	9	1	1	NUM
ejpam-2465	127	10	+	+	NUM
ejpam-2465	127	11	sβ	sβ	NUM
ejpam-2465	127	12	βγ(β	βγ(β	SYM
ejpam-2465	127	13	)	)	PUNCT
ejpam-2465	127	14	�	�	PROPN
ejpam-2465	127	15	ds	ds	PROPN
ejpam-2465	127	16	=	=	PUNCT
ejpam-2465	127	17	mk	mk	PROPN
ejpam-2465	127	18	γ(1+α	γ(1+α	PROPN
ejpam-2465	127	19	)	)	PUNCT
ejpam-2465	127	20	�	�	PROPN
ejpam-2465	127	21	∫	∫	PROPN
ejpam-2465	127	22	t	t	PROPN
ejpam-2465	127	23	0	0	NUM
ejpam-2465	127	24	(	(	PUNCT
ejpam-2465	127	25	t	t	X
ejpam-2465	127	26	−	−	PROPN
ejpam-2465	127	27	s)α−1µ(s)ds+	s)α−1µ(s)ds+	PROPN
ejpam-2465	127	28	1	1	NUM
ejpam-2465	128	1	γ(1	γ(1	VERB
ejpam-2465	128	2	+	+	CCONJ
ejpam-2465	128	3	β	β	X
ejpam-2465	128	4	)	)	PUNCT
ejpam-2465	128	5	∫	∫	PROPN
ejpam-2465	129	1	t	t	PROPN
ejpam-2465	129	2	0	0	NUM
ejpam-2465	129	3	(	(	PUNCT
ejpam-2465	129	4	t	t	NOUN
ejpam-2465	129	5	−	−	PROPN
ejpam-2465	129	6	s)α−1sβµ(s)ds	s)α−1sβµ(s)ds	PROPN
ejpam-2465	129	7	�	�	PROPN
ejpam-2465	129	8	≤	≤	PROPN
ejpam-2465	129	9	mk	mk	PROPN
ejpam-2465	129	10	γ(1+α	γ(1+α	PROPN
ejpam-2465	129	11	)	)	PUNCT
ejpam-2465	129	12			PROPN
ejpam-2465	129	13			PROPN
ejpam-2465	129	14	�	�	PROPN
ejpam-2465	129	15	∫	∫	PROPN
ejpam-2465	129	16	t	t	PROPN
ejpam-2465	129	17	0	0	NUM
ejpam-2465	130	1	(	(	PUNCT
ejpam-2465	130	2	t	t	PROPN
ejpam-2465	130	3	−	−	PROPN
ejpam-2465	130	4	s	s	PART
ejpam-2465	130	5	)	)	PUNCT
ejpam-2465	131	1	(	(	PUNCT
ejpam-2465	131	2	α−1)p	α−1)p	NUM
ejpam-2465	131	3	p−1	p−1	PROPN
ejpam-2465	131	4	ds	ds	PROPN
ejpam-2465	131	5	�	�	PROPN
ejpam-2465	131	6	p−1	p−1	PROPN
ejpam-2465	131	7	p	p	PROPN
ejpam-2465	131	8	�	�	PROPN
ejpam-2465	131	9	∫	∫	PROPN
ejpam-2465	131	10	t	t	PROPN
ejpam-2465	131	11	0	0	NUM
ejpam-2465	131	12	(	(	PUNCT
ejpam-2465	131	13	µ(s))pds	µ(s))pds	PUNCT
ejpam-2465	131	14	�	�	PROPN
ejpam-2465	131	15	1	1	NUM
ejpam-2465	131	16	p	p	NOUN
ejpam-2465	131	17	+	+	NOUN
ejpam-2465	131	18	1	1	NUM
ejpam-2465	131	19	γ(1	γ(1	NOUN
ejpam-2465	131	20	+	+	CCONJ
ejpam-2465	131	21	β	β	X
ejpam-2465	131	22	)	)	PUNCT
ejpam-2465	131	23	�	�	PROPN
ejpam-2465	131	24	∫	∫	PROPN
ejpam-2465	131	25	t	t	PROPN
ejpam-2465	131	26	0	0	NUM
ejpam-2465	132	1	(	(	PUNCT
ejpam-2465	132	2	t	t	PROPN
ejpam-2465	132	3	−	−	PROPN
ejpam-2465	132	4	s	s	PART
ejpam-2465	132	5	)	)	PUNCT
ejpam-2465	132	6	(	(	PUNCT
ejpam-2465	133	1	α−1)p	α−1)p	NUM
ejpam-2465	133	2	p−1	p−1	PROPN
ejpam-2465	133	3	ds	ds	PROPN
ejpam-2465	133	4	�	�	PROPN
ejpam-2465	133	5	p−1	p−1	PROPN
ejpam-2465	133	6	p	p	PROPN
ejpam-2465	133	7	�	�	PROPN
ejpam-2465	133	8	∫	∫	PROPN
ejpam-2465	133	9	t	t	PROPN
ejpam-2465	133	10	0	0	NUM
ejpam-2465	133	11	(	(	PUNCT
ejpam-2465	133	12	sβpµ(s))pds	sβpµ(s))pds	PROPN
ejpam-2465	133	13	�	�	PROPN
ejpam-2465	133	14	1	1	NUM
ejpam-2465	133	15	p	p	NOUN
ejpam-2465	133	16			PROPN
ejpam-2465	133	17			PUNCT
ejpam-2465	134	1	≤	≤	ADJ
ejpam-2465	134	2	mk	mk	PROPN
ejpam-2465	134	3	γ(1+α	γ(1+α	PROPN
ejpam-2465	134	4	)	)	PUNCT
ejpam-2465	134	5			VERB
ejpam-2465	134	6			NOUN
ejpam-2465	134	7	�	�	PROPN
ejpam-2465	134	8	p−	p−	PROPN
ejpam-2465	134	9	1	1	NUM
ejpam-2465	134	10	p+	p+	NOUN
ejpam-2465	134	11	(	(	PUNCT
ejpam-2465	134	12	α−	α−	ADP
ejpam-2465	134	13	1)p−	1)p−	NUM
ejpam-2465	134	14	1	1	NUM
ejpam-2465	134	15	�	�	PROPN
ejpam-2465	134	16	p−1	p−1	PROPN
ejpam-2465	134	17	p	p	PROPN
ejpam-2465	134	18	t	t	PROPN
ejpam-2465	134	19	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	134	20	p	p	NOUN
ejpam-2465	134	21	‖µ‖lp(j	‖µ‖lp(j	NOUN
ejpam-2465	134	22	,	,	PUNCT
ejpam-2465	134	23	r+	r+	PUNCT
ejpam-2465	134	24	)	)	PUNCT
ejpam-2465	135	1	+	+	CCONJ
ejpam-2465	135	2	1	1	NUM
ejpam-2465	135	3	γ(1	γ(1	NOUN
ejpam-2465	135	4	+	+	CCONJ
ejpam-2465	135	5	β	β	X
ejpam-2465	135	6	)	)	PUNCT
ejpam-2465	135	7	�	�	PROPN
ejpam-2465	135	8	p−	p−	PROPN
ejpam-2465	135	9	1	1	NUM
ejpam-2465	135	10	p+	p+	NOUN
ejpam-2465	135	11	(	(	PUNCT
ejpam-2465	135	12	α−	α−	ADP
ejpam-2465	135	13	1)p−	1)p−	NUM
ejpam-2465	135	14	1	1	NUM
ejpam-2465	135	15	�	�	PROPN
ejpam-2465	135	16	p−1	p−1	PROPN
ejpam-2465	135	17	p	p	PROPN
ejpam-2465	135	18	t	t	PROPN
ejpam-2465	135	19	p+(α−1)p−1	p+(α−1)p−1	PROPN
ejpam-2465	135	20	p	p	PROPN
ejpam-2465	135	21	�	�	PROPN
ejpam-2465	135	22	∫	∫	PROPN
ejpam-2465	135	23	t	t	PROPN
ejpam-2465	135	24	0	0	NUM
ejpam-2465	135	25	s	s	PART
ejpam-2465	135	26	βp2	βp2	NOUN
ejpam-2465	136	1	p−1	p−1	PROPN
ejpam-2465	136	2	ds	ds	PRON
ejpam-2465	136	3	�	�	PROPN
ejpam-2465	136	4	p−1	p−1	PROPN
ejpam-2465	136	5	p2	p2	PROPN
ejpam-2465	136	6	�	�	PROPN
ejpam-2465	136	7	∫	∫	PROPN
ejpam-2465	136	8	t	t	PROPN
ejpam-2465	136	9	0	0	NUM
ejpam-2465	137	1	(	(	PUNCT
ejpam-2465	137	2	µ(s))p	µ(s))p	NOUN
ejpam-2465	137	3	2	2	NUM
ejpam-2465	137	4	ds	ds	PROPN
ejpam-2465	137	5	�	�	PROPN
ejpam-2465	137	6	1	1	NUM
ejpam-2465	137	7	p2	p2	PROPN
ejpam-2465	137	8			NOUN
ejpam-2465	137	9			PUNCT
ejpam-2465	138	1	≤	≤	ADJ
ejpam-2465	138	2	mk	mk	PROPN
ejpam-2465	138	3	γ(1+α	γ(1+α	PROPN
ejpam-2465	138	4	)	)	PUNCT
ejpam-2465	138	5	�	�	PROPN
ejpam-2465	138	6	p−	p−	PROPN
ejpam-2465	138	7	1	1	NUM
ejpam-2465	138	8	p+	p+	NOUN
ejpam-2465	138	9	(	(	PUNCT
ejpam-2465	138	10	α−	α−	ADP
ejpam-2465	138	11	1)p−	1)p−	NUM
ejpam-2465	138	12	1	1	NUM
ejpam-2465	138	13	�	�	PROPN
ejpam-2465	138	14	p−1	p−1	PROPN
ejpam-2465	138	15	p	p	PROPN
ejpam-2465	138	16	t	t	PROPN
ejpam-2465	138	17	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	138	18	p	p	NOUN
ejpam-2465	138	19			NOUN
ejpam-2465	138	20			NOUN
ejpam-2465	138	21			NOUN
ejpam-2465	138	22			NOUN
ejpam-2465	138	23	‖µ‖lp(j	‖µ‖lp(j	NOUN
ejpam-2465	138	24	,	,	PUNCT
ejpam-2465	138	25	r+	r+	PUNCT
ejpam-2465	138	26	)	)	PUNCT
ejpam-2465	139	1	+	+	CCONJ
ejpam-2465	139	2	1	1	NUM
ejpam-2465	139	3	γ(1	γ(1	NOUN
ejpam-2465	139	4	+	+	CCONJ
ejpam-2465	139	5	β	β	NOUN
ejpam-2465	139	6	)	)	PUNCT
ejpam-2465	139	7			VERB
ejpam-2465	139	8			NOUN
ejpam-2465	139	9	1	1	NUM
ejpam-2465	139	10	1	1	NUM
ejpam-2465	139	11	+	+	NUM
ejpam-2465	139	12	βp2	βp2	PROPN
ejpam-2465	139	13	p−1	p−1	PROPN
ejpam-2465	139	14			PROPN
ejpam-2465	139	15			PUNCT
ejpam-2465	140	1	p−1	p−1	NOUN
ejpam-2465	140	2	p2	p2	PROPN
ejpam-2465	140	3	×t	×t	NOUN
ejpam-2465	140	4	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	140	5	p2	p2	X
ejpam-2465	140	6	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	140	7	(	(	PUNCT
ejpam-2465	140	8	j	j	NOUN
ejpam-2465	140	9	,	,	PUNCT
ejpam-2465	140	10	r+	r+	X
ejpam-2465	140	11	)	)	PUNCT
ejpam-2465	140	12	�	�	PROPN
ejpam-2465	140	13	≤	≤	PROPN
ejpam-2465	140	14	mkb	mkb	PROPN
ejpam-2465	140	15	α−	α−	ADP
ejpam-2465	140	16	1	1	NUM
ejpam-2465	140	17	p	p	NOUN
ejpam-2465	140	18	γ(1+α	γ(1+α	PROPN
ejpam-2465	140	19	)	)	PUNCT
ejpam-2465	140	20	�	�	PROPN
ejpam-2465	140	21	p−	p−	PROPN
ejpam-2465	140	22	1	1	NUM
ejpam-2465	140	23	p+	p+	NOUN
ejpam-2465	140	24	(	(	PUNCT
ejpam-2465	140	25	α−	α−	ADP
ejpam-2465	140	26	1)p−	1)p−	NUM
ejpam-2465	140	27	1	1	NUM
ejpam-2465	140	28	�	�	PROPN
ejpam-2465	140	29	p−1	p−1	PROPN
ejpam-2465	140	30	p	p	PROPN
ejpam-2465	140	31			PROPN
ejpam-2465	140	32	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	140	33	,	,	PUNCT
ejpam-2465	140	34	r+	r+	PUNCT
ejpam-2465	140	35	)	)	PUNCT
ejpam-2465	141	1	+	+	CCONJ
ejpam-2465	141	2	b	b	X
ejpam-2465	141	3	β+	β+	PUNCT
ejpam-2465	141	4	p−1	p−1	PROPN
ejpam-2465	141	5	p2	p2	PROPN
ejpam-2465	141	6	γ(1	γ(1	PROPN
ejpam-2465	141	7	+	+	CCONJ
ejpam-2465	141	8	β	β	NOUN
ejpam-2465	141	9	)	)	PUNCT
ejpam-2465	141	10	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	141	11	(	(	PUNCT
ejpam-2465	141	12	j	j	NOUN
ejpam-2465	141	13	,	,	PUNCT
ejpam-2465	141	14	r+	r+	PROPN
ejpam-2465	141	15	)	)	PUNCT
ejpam-2465	141	16			PUNCT
ejpam-2465	141	17			PUNCT
ejpam-2465	141	18	,	,	PUNCT
ejpam-2465	141	19	(	(	PUNCT
ejpam-2465	141	20	5	5	X
ejpam-2465	141	21	)	)	PUNCT
ejpam-2465	141	22	for	for	ADP
ejpam-2465	141	23	all	all	PRON
ejpam-2465	141	24	t	t	NOUN
ejpam-2465	141	25	∈	∈	PROPN
ejpam-2465	141	26	j	j	PROPN
ejpam-2465	141	27	.	.	PUNCT
ejpam-2465	142	1	thus	thus	ADV
ejpam-2465	142	2	,	,	PUNCT
ejpam-2465	142	3	�	�	PROPN
ejpam-2465	142	4	�	�	PROPN
ejpam-2465	142	5	�	�	PROPN
ejpam-2465	142	6	∫∞	∫∞	NOUN
ejpam-2465	142	7	0	0	NUM
ejpam-2465	142	8	θ	θ	PROPN
ejpam-2465	142	9	(	(	PUNCT
ejpam-2465	142	10	t	t	NOUN
ejpam-2465	142	11	−	−	PROPN
ejpam-2465	142	12	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	142	13	)	)	PUNCT
ejpam-2465	142	14	q((t	q((t	NOUN
ejpam-2465	143	1	−	−	PROPN
ejpam-2465	143	2	s)αθ	s)αθ	PROPN
ejpam-2465	143	3	)	)	PUNCT
ejpam-2465	143	4	f	f	PROPN
ejpam-2465	143	5	(	(	PUNCT
ejpam-2465	143	6	s	s	PROPN
ejpam-2465	143	7	,	,	PUNCT
ejpam-2465	143	8	x(s	x(s	PROPN
ejpam-2465	143	9	)	)	PUNCT
ejpam-2465	144	1	,	,	PUNCT
ejpam-2465	144	2	iβ	iβ	ADP
ejpam-2465	144	3	x(s))dθ	x(s))dθ	PROPN
ejpam-2465	144	4	�	�	PROPN
ejpam-2465	144	5	�	�	PROPN
ejpam-2465	144	6	�	�	PROPN
ejpam-2465	144	7	is	be	AUX
ejpam-2465	144	8	lebesgue	lebesgue	NOUN
ejpam-2465	144	9	integrable	integrable	ADJ
ejpam-2465	144	10	with	with	ADP
ejpam-2465	144	11	respect	respect	NOUN
ejpam-2465	144	12	to	to	ADP
ejpam-2465	144	13	s	s	X
ejpam-2465	144	14	∈	∈	PROPN
ejpam-2465	145	1	[	[	X
ejpam-2465	145	2	0	0	NUM
ejpam-2465	145	3	,	,	PUNCT
ejpam-2465	145	4	t	t	PROPN
ejpam-2465	145	5	]	]	PUNCT
ejpam-2465	145	6	for	for	ADP
ejpam-2465	145	7	all	all	DET
ejpam-2465	145	8	t	t	NOUN
ejpam-2465	145	9	∈	∈	PROPN
ejpam-2465	146	1	[	[	X
ejpam-2465	146	2	0	0	NUM
ejpam-2465	146	3	,	,	PUNCT
ejpam-2465	146	4	b	b	NOUN
ejpam-2465	146	5	]	]	X
ejpam-2465	146	6	.	.	PUNCT
ejpam-2465	147	1	from	from	ADP
ejpam-2465	147	2	lemma	lemma	PROPN
ejpam-2465	147	3	3	3	NUM
ejpam-2465	147	4	(	(	PUNCT
ejpam-2465	147	5	bochner	bochner	NOUN
ejpam-2465	147	6	’s	’s	PART
ejpam-2465	147	7	theorem	theorem	NOUN
ejpam-2465	147	8	)	)	PUNCT
ejpam-2465	147	9	,	,	PUNCT
ejpam-2465	147	10	it	it	PRON
ejpam-2465	147	11	follows	follow	VERB
ejpam-2465	147	12	that	that	DET
ejpam-2465	147	13	∫∞	∫∞	NOUN
ejpam-2465	147	14	0	0	NUM
ejpam-2465	147	15	θ	θ	PROPN
ejpam-2465	147	16	(	(	PUNCT
ejpam-2465	147	17	t−s)α−1ξα(θ	t−s)α−1ξα(θ	NOUN
ejpam-2465	147	18	)	)	PUNCT
ejpam-2465	147	19	q((t−s)αθ	q((t−s)αθ	PROPN
ejpam-2465	147	20	)	)	PUNCT
ejpam-2465	147	21	f	f	PROPN
ejpam-2465	147	22	(	(	PUNCT
ejpam-2465	147	23	s	s	PROPN
ejpam-2465	147	24	,	,	PUNCT
ejpam-2465	147	25	x(s	x(s	PROPN
ejpam-2465	147	26	)	)	PUNCT
ejpam-2465	147	27	,	,	PUNCT
ejpam-2465	147	28	iβ	iβ	ADP
ejpam-2465	147	29	x(s))dθ	x(s))dθ	PROPN
ejpam-2465	147	30	is	be	AUX
ejpam-2465	147	31	bochner	bochner	NOUN
ejpam-2465	147	32	’s	’s	PART
ejpam-2465	147	33	integrable	integrable	ADJ
ejpam-2465	147	34	with	with	ADP
ejpam-2465	147	35	respect	respect	NOUN
ejpam-2465	147	36	to	to	ADP
ejpam-2465	147	37	s	s	X
ejpam-2465	147	38	∈	∈	PROPN
ejpam-2465	148	1	[	[	X
ejpam-2465	148	2	0	0	NUM
ejpam-2465	148	3	,	,	PUNCT
ejpam-2465	148	4	t	t	PROPN
ejpam-2465	148	5	]	]	PUNCT
ejpam-2465	148	6	for	for	ADP
ejpam-2465	148	7	all	all	DET
ejpam-2465	148	8	t	t	NOUN
ejpam-2465	148	9	∈	∈	PROPN
ejpam-2465	148	10	j	j	PROPN
ejpam-2465	148	11	.	.	PUNCT
ejpam-2465	149	1	for	for	ADP
ejpam-2465	149	2	each	each	DET
ejpam-2465	149	3	positive	positive	ADJ
ejpam-2465	149	4	constant	constant	ADJ
ejpam-2465	149	5	k	k	NOUN
ejpam-2465	149	6	,	,	PUNCT
ejpam-2465	149	7	define	define	VERB
ejpam-2465	149	8	an	an	DET
ejpam-2465	149	9	operator	operator	NOUN
ejpam-2465	149	10	f	f	NOUN
ejpam-2465	149	11	on	on	ADP
ejpam-2465	149	12	bk	bk	NOUN
ejpam-2465	149	13	by	by	ADP
ejpam-2465	149	14	the	the	DET
ejpam-2465	149	15	formula	formula	NOUN
ejpam-2465	149	16	(	(	PUNCT
ejpam-2465	149	17	f	f	NOUN
ejpam-2465	149	18	x)(t	x)(t	PROPN
ejpam-2465	149	19	)	)	PUNCT
ejpam-2465	150	1	=	=	NOUN
ejpam-2465	150	2	s(t)(x0	s(t)(x0	NOUN
ejpam-2465	150	3	−	−	PROPN
ejpam-2465	151	1	g(x	g(x	NOUN
ejpam-2465	151	2	)	)	PUNCT
ejpam-2465	151	3	)	)	PUNCT
ejpam-2465	152	1	+	+	PUNCT
ejpam-2465	152	2	α	α	NOUN
ejpam-2465	152	3	∫	∫	PROPN
ejpam-2465	152	4	t	t	PROPN
ejpam-2465	152	5	0	0	NUM
ejpam-2465	152	6	(	(	PUNCT
ejpam-2465	152	7	t	t	NOUN
ejpam-2465	152	8	−	−	PROPN
ejpam-2465	152	9	s)α−1	s)α−1	NOUN
ejpam-2465	152	10	t	t	PROPN
ejpam-2465	152	11	(	(	PUNCT
ejpam-2465	152	12	t	t	PROPN
ejpam-2465	152	13	−	−	PROPN
ejpam-2465	152	14	s	s	PART
ejpam-2465	152	15	)	)	PUNCT
ejpam-2465	152	16	f	f	PROPN
ejpam-2465	152	17	(	(	PUNCT
ejpam-2465	152	18	s	s	PROPN
ejpam-2465	152	19	,	,	PUNCT
ejpam-2465	152	20	x(s	x(s	PROPN
ejpam-2465	152	21	)	)	PUNCT
ejpam-2465	152	22	,	,	PUNCT
ejpam-2465	152	23	iβ	iβ	ADP
ejpam-2465	152	24	x(s))ds	x(s))ds	PROPN
ejpam-2465	152	25	,	,	PUNCT
ejpam-2465	152	26	t	t	PROPN
ejpam-2465	152	27	∈	∈	PROPN
ejpam-2465	153	1	[	[	X
ejpam-2465	153	2	0	0	NUM
ejpam-2465	153	3	,	,	PUNCT
ejpam-2465	153	4	b	b	NOUN
ejpam-2465	153	5	]	]	X
ejpam-2465	153	6	,	,	PUNCT
ejpam-2465	153	7	(	(	PUNCT
ejpam-2465	153	8	6	6	X
ejpam-2465	153	9	)	)	PUNCT
ejpam-2465	153	10	m.	m.	NOUN
ejpam-2465	153	11	abbas	abbas	PROPN
ejpam-2465	153	12	/	/	SYM
ejpam-2465	153	13	eur	eur	PROPN
ejpam-2465	153	14	.	.	PUNCT
ejpam-2465	154	1	j.	j.	PROPN
ejpam-2465	154	2	pure	pure	PROPN
ejpam-2465	154	3	appl	appl	PROPN
ejpam-2465	154	4	.	.	PROPN
ejpam-2465	154	5	math	math	PROPN
ejpam-2465	154	6	,	,	PUNCT
ejpam-2465	154	7	8	8	NUM
ejpam-2465	154	8	(	(	PUNCT
ejpam-2465	154	9	2015	2015	NUM
ejpam-2465	154	10	)	)	PUNCT
ejpam-2465	154	11	,	,	PUNCT
ejpam-2465	154	12	478	478	NUM
ejpam-2465	154	13	-	-	SYM
ejpam-2465	154	14	498	498	NUM
ejpam-2465	154	15	484	484	NUM
ejpam-2465	154	16	where	where	SCONJ
ejpam-2465	154	17	x	x	PUNCT
ejpam-2465	154	18	∈	∈	PROPN
ejpam-2465	155	1	bk	bk	VERB
ejpam-2465	155	2	.	.	PUNCT
ejpam-2465	156	1	let	let	VERB
ejpam-2465	156	2	k	k	NOUN
ejpam-2465	156	3	=	=	PUNCT
ejpam-2465	156	4	m	m	VERB
ejpam-2465	156	5	�	�	PROPN
ejpam-2465	156	6	|x0|+	|x0|+	PRON
ejpam-2465	156	7	l′	l′	VERB
ejpam-2465	156	8	�	�	PROPN
ejpam-2465	156	9	1−m	1−m	NUM
ejpam-2465	156	10	�	�	PROPN
ejpam-2465	156	11	l	l	PROPN
ejpam-2465	156	12	−	−	PROPN
ejpam-2465	156	13	mkb	mkb	PROPN
ejpam-2465	156	14	α−	α−	ADP
ejpam-2465	156	15	1	1	NUM
ejpam-2465	156	16	p	p	NOUN
ejpam-2465	156	17	γ(1+α	γ(1+α	PROPN
ejpam-2465	156	18	)	)	PUNCT
ejpam-2465	156	19	�	�	PROPN
ejpam-2465	156	20	p−1	p−1	PROPN
ejpam-2465	156	21	p+(α−1)p−1	p+(α−1)p−1	PROPN
ejpam-2465	156	22	�	�	PROPN
ejpam-2465	156	23	p−1	p−1	PROPN
ejpam-2465	156	24	p	p	PROPN
ejpam-2465	156	25	�	�	PROPN
ejpam-2465	156	26	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	156	27	,	,	PUNCT
ejpam-2465	156	28	r+	r+	PUNCT
ejpam-2465	156	29	)	)	PUNCT
ejpam-2465	157	1	+	+	CCONJ
ejpam-2465	157	2	b	b	X
ejpam-2465	157	3	β+	β+	PUNCT
ejpam-2465	157	4	p−1	p−1	PROPN
ejpam-2465	157	5	p2	p2	PROPN
ejpam-2465	157	6	γ(1+β	γ(1+β	PROPN
ejpam-2465	157	7	)	)	PUNCT
ejpam-2465	157	8	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	157	9	(	(	PUNCT
ejpam-2465	157	10	j	j	NOUN
ejpam-2465	157	11	,	,	PUNCT
ejpam-2465	157	12	r+	r+	X
ejpam-2465	157	13	)	)	PUNCT
ejpam-2465	157	14	�	�	PROPN
ejpam-2465	157	15	�	�	PROPN
ejpam-2465	157	16	.	.	PUNCT
ejpam-2465	158	1	(	(	PUNCT
ejpam-2465	158	2	7	7	X
ejpam-2465	158	3	)	)	PUNCT
ejpam-2465	158	4	in	in	ADP
ejpam-2465	158	5	the	the	DET
ejpam-2465	158	6	following	following	NOUN
ejpam-2465	158	7	,	,	PUNCT
ejpam-2465	158	8	we	we	PRON
ejpam-2465	158	9	will	will	AUX
ejpam-2465	158	10	prove	prove	VERB
ejpam-2465	158	11	that	that	SCONJ
ejpam-2465	158	12	f	f	PROPN
ejpam-2465	158	13	has	have	VERB
ejpam-2465	158	14	a	a	DET
ejpam-2465	158	15	fixed	fix	VERB
ejpam-2465	158	16	point	point	NOUN
ejpam-2465	158	17	on	on	ADP
ejpam-2465	158	18	bk	bk	NOUN
ejpam-2465	158	19	.	.	PUNCT
ejpam-2465	159	1	our	our	PRON
ejpam-2465	159	2	proof	proof	NOUN
ejpam-2465	159	3	will	will	AUX
ejpam-2465	159	4	be	be	AUX
ejpam-2465	159	5	divided	divide	VERB
ejpam-2465	159	6	into	into	ADP
ejpam-2465	159	7	two	two	NUM
ejpam-2465	159	8	steps	step	NOUN
ejpam-2465	159	9	.	.	PUNCT
ejpam-2465	160	1	step	step	NOUN
ejpam-2465	160	2	i.	i.	NOUN
ejpam-2465	160	3	‖f	‖f	PUNCT
ejpam-2465	161	1	x‖	x‖	PROPN
ejpam-2465	161	2	≤	≤	ADV
ejpam-2465	162	1	k	k	PROPN
ejpam-2465	162	2	whenever	whenever	SCONJ
ejpam-2465	162	3	x	x	SYM
ejpam-2465	162	4	∈	∈	PROPN
ejpam-2465	162	5	bk	bk	PROPN
ejpam-2465	162	6	.	.	PUNCT
ejpam-2465	163	1	for	for	ADP
ejpam-2465	163	2	each	each	DET
ejpam-2465	163	3	x	x	SYM
ejpam-2465	163	4	∈	∈	PROPN
ejpam-2465	163	5	bk	bk	NOUN
ejpam-2465	163	6	and	and	CCONJ
ejpam-2465	163	7	t	t	PROPN
ejpam-2465	163	8	∈	∈	PROPN
ejpam-2465	163	9	j	j	PROPN
ejpam-2465	163	10	,	,	PUNCT
ejpam-2465	163	11	by	by	ADP
ejpam-2465	163	12	using	use	VERB
ejpam-2465	163	13	the	the	DET
ejpam-2465	163	14	similar	similar	ADJ
ejpam-2465	163	15	method	method	NOUN
ejpam-2465	163	16	as	as	SCONJ
ejpam-2465	163	17	we	we	PRON
ejpam-2465	163	18	did	do	AUX
ejpam-2465	163	19	in	in	ADP
ejpam-2465	163	20	(	(	PUNCT
ejpam-2465	163	21	4	4	NUM
ejpam-2465	163	22	)	)	PUNCT
ejpam-2465	163	23	and	and	CCONJ
ejpam-2465	163	24	(	(	PUNCT
ejpam-2465	163	25	5	5	NUM
ejpam-2465	163	26	)	)	PUNCT
ejpam-2465	163	27	,	,	PUNCT
ejpam-2465	163	28	we	we	PRON
ejpam-2465	163	29	have	have	VERB
ejpam-2465	163	30	|(f	|(f	PROPN
ejpam-2465	163	31	x)(t)|=	x)(t)|=	PROPN
ejpam-2465	163	32	�	�	PROPN
ejpam-2465	163	33	�	�	PROPN
ejpam-2465	163	34	�	�	PROPN
ejpam-2465	163	35	�	�	PROPN
ejpam-2465	163	36	�	�	PROPN
ejpam-2465	163	37	s(t)(x0	s(t)(x0	NOUN
ejpam-2465	163	38	−	−	PROPN
ejpam-2465	163	39	g(x	g(x	NOUN
ejpam-2465	163	40	)	)	PUNCT
ejpam-2465	163	41	)	)	PUNCT
ejpam-2465	164	1	+	+	PUNCT
ejpam-2465	164	2	α	α	NOUN
ejpam-2465	164	3	∫	∫	PROPN
ejpam-2465	164	4	t	t	PROPN
ejpam-2465	164	5	0	0	NUM
ejpam-2465	164	6	(	(	PUNCT
ejpam-2465	164	7	t	t	NOUN
ejpam-2465	164	8	−	−	PROPN
ejpam-2465	164	9	s)α−1	s)α−1	NOUN
ejpam-2465	164	10	t	t	PROPN
ejpam-2465	164	11	(	(	PUNCT
ejpam-2465	164	12	t	t	PROPN
ejpam-2465	164	13	−	−	PROPN
ejpam-2465	164	14	s	s	PART
ejpam-2465	164	15	)	)	PUNCT
ejpam-2465	164	16	f	f	PROPN
ejpam-2465	164	17	(	(	PUNCT
ejpam-2465	164	18	s	s	PROPN
ejpam-2465	164	19	,	,	PUNCT
ejpam-2465	164	20	x(s	x(s	PROPN
ejpam-2465	164	21	)	)	PUNCT
ejpam-2465	165	1	,	,	PUNCT
ejpam-2465	165	2	iβ	iβ	ADP
ejpam-2465	165	3	x(s))ds	x(s))ds	PROPN
ejpam-2465	165	4	�	�	PROPN
ejpam-2465	165	5	�	�	PROPN
ejpam-2465	165	6	�	�	PROPN
ejpam-2465	165	7	�	�	PROPN
ejpam-2465	165	8	�	�	PROPN
ejpam-2465	165	9	≤	≤	PROPN
ejpam-2465	165	10	�	�	PROPN
ejpam-2465	165	11	�	�	PROPN
ejpam-2465	165	12	�	�	PROPN
ejpam-2465	165	13	�	�	PROPN
ejpam-2465	165	14	�	�	PROPN
ejpam-2465	165	15	∫	∫	PROPN
ejpam-2465	165	16	∞	∞	PROPN
ejpam-2465	165	17	0	0	NUM
ejpam-2465	165	18	ξα(θ	ξα(θ	NUM
ejpam-2465	165	19	)	)	PUNCT
ejpam-2465	165	20	q(t	q(t	ADJ
ejpam-2465	165	21	αθ	αθ	NOUN
ejpam-2465	165	22	)	)	PUNCT
ejpam-2465	165	23	(	(	PUNCT
ejpam-2465	165	24	x0	x0	PROPN
ejpam-2465	165	25	−	−	PROPN
ejpam-2465	165	26	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	165	27	�	�	PROPN
ejpam-2465	165	28	�	�	PROPN
ejpam-2465	165	29	�	�	PROPN
ejpam-2465	165	30	�	�	PROPN
ejpam-2465	165	31	�	�	PROPN
ejpam-2465	165	32	+	+	PROPN
ejpam-2465	165	33	α	α	PROPN
ejpam-2465	165	34	�	�	PROPN
ejpam-2465	165	35	�	�	PROPN
ejpam-2465	165	36	�	�	PROPN
ejpam-2465	165	37	�	�	PROPN
ejpam-2465	165	38	�	�	PROPN
ejpam-2465	165	39	∫	∫	PROPN
ejpam-2465	165	40	t	t	PROPN
ejpam-2465	165	41	0	0	NUM
ejpam-2465	165	42	∫	∫	PROPN
ejpam-2465	165	43	∞	∞	NUM
ejpam-2465	165	44	0	0	NUM
ejpam-2465	165	45	θ	θ	PROPN
ejpam-2465	165	46	(	(	PUNCT
ejpam-2465	165	47	t	t	NOUN
ejpam-2465	165	48	−	−	PROPN
ejpam-2465	165	49	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	165	50	)	)	PUNCT
ejpam-2465	165	51	q((t	q((t	NOUN
ejpam-2465	165	52	−	−	PROPN
ejpam-2465	166	1	s)αθ	s)αθ	PROPN
ejpam-2465	166	2	)	)	PUNCT
ejpam-2465	166	3	f	f	PROPN
ejpam-2465	166	4	(	(	PUNCT
ejpam-2465	166	5	s	s	PROPN
ejpam-2465	166	6	,	,	PUNCT
ejpam-2465	166	7	x(s	x(s	PROPN
ejpam-2465	166	8	)	)	PUNCT
ejpam-2465	166	9	,	,	PUNCT
ejpam-2465	166	10	iβ	iβ	ADP
ejpam-2465	166	11	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	166	12	�	�	PROPN
ejpam-2465	166	13	�	�	PROPN
ejpam-2465	166	14	�	�	PROPN
ejpam-2465	166	15	�	�	PROPN
ejpam-2465	166	16	�	�	PROPN
ejpam-2465	166	17	≤m(|x0|+	≤m(|x0|+	PROPN
ejpam-2465	166	18	lk+	lk+	PROPN
ejpam-2465	166	19	l	l	PROPN
ejpam-2465	166	20	′	′	NUM
ejpam-2465	166	21	)	)	PUNCT
ejpam-2465	167	1	+	+	CCONJ
ejpam-2465	167	2	mkb	mkb	PROPN
ejpam-2465	167	3	α−	α−	ADP
ejpam-2465	167	4	1	1	NUM
ejpam-2465	167	5	p	p	NOUN
ejpam-2465	167	6	γ(1+α	γ(1+α	PROPN
ejpam-2465	167	7	)	)	PUNCT
ejpam-2465	167	8	�	�	PROPN
ejpam-2465	167	9	p−	p−	PROPN
ejpam-2465	167	10	1	1	NUM
ejpam-2465	167	11	p+	p+	NOUN
ejpam-2465	167	12	(	(	PUNCT
ejpam-2465	167	13	α−	α−	ADP
ejpam-2465	167	14	1)p−	1)p−	NUM
ejpam-2465	167	15	1	1	NUM
ejpam-2465	167	16	�	�	PROPN
ejpam-2465	167	17	p−1	p−1	PROPN
ejpam-2465	167	18	p	p	PROPN
ejpam-2465	167	19			PROPN
ejpam-2465	167	20	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	167	21	,	,	PUNCT
ejpam-2465	167	22	r+	r+	PUNCT
ejpam-2465	167	23	)	)	PUNCT
ejpam-2465	168	1	+	+	CCONJ
ejpam-2465	168	2	b	b	X
ejpam-2465	168	3	β+	β+	PUNCT
ejpam-2465	168	4	p−1	p−1	PROPN
ejpam-2465	168	5	p2	p2	PROPN
ejpam-2465	168	6	γ(1	γ(1	PROPN
ejpam-2465	168	7	+	+	CCONJ
ejpam-2465	168	8	β	β	NOUN
ejpam-2465	168	9	)	)	PUNCT
ejpam-2465	168	10	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	168	11	(	(	PUNCT
ejpam-2465	168	12	j	j	NOUN
ejpam-2465	168	13	,	,	PUNCT
ejpam-2465	168	14	r+	r+	PROPN
ejpam-2465	168	15	)	)	PUNCT
ejpam-2465	168	16			PUNCT
ejpam-2465	168	17			PUNCT
ejpam-2465	169	1	=	=	X
ejpam-2465	169	2	k.	k.	PROPN
ejpam-2465	169	3	(	(	PUNCT
ejpam-2465	169	4	8)	8)	NUM
ejpam-2465	169	5	hence	hence	ADV
ejpam-2465	169	6	‖f	‖f	PUNCT
ejpam-2465	169	7	x‖	x‖	PROPN
ejpam-2465	169	8	≤	≤	ADJ
ejpam-2465	169	9	k	k	PROPN
ejpam-2465	169	10	for	for	ADP
ejpam-2465	169	11	each	each	DET
ejpam-2465	169	12	x	x	SYM
ejpam-2465	169	13	∈	∈	PROPN
ejpam-2465	169	14	bk	bk	PROPN
ejpam-2465	169	15	.	.	PUNCT
ejpam-2465	169	16	step	step	PROPN
ejpam-2465	169	17	ii	ii	PROPN
ejpam-2465	169	18	.	.	PUNCT
ejpam-2465	170	1	f	f	PROPN
ejpam-2465	170	2	is	be	AUX
ejpam-2465	170	3	a	a	DET
ejpam-2465	170	4	completely	completely	ADV
ejpam-2465	170	5	continuous	continuous	ADJ
ejpam-2465	170	6	operator	operator	NOUN
ejpam-2465	170	7	.	.	PUNCT
ejpam-2465	171	1	firstly	firstly	ADV
ejpam-2465	171	2	,	,	PUNCT
ejpam-2465	171	3	we	we	PRON
ejpam-2465	171	4	will	will	AUX
ejpam-2465	171	5	prove	prove	VERB
ejpam-2465	171	6	that	that	SCONJ
ejpam-2465	171	7	f	f	PROPN
ejpam-2465	171	8	is	be	AUX
ejpam-2465	171	9	continuous	continuous	ADJ
ejpam-2465	171	10	on	on	ADP
ejpam-2465	171	11	bk	bk	NOUN
ejpam-2465	171	12	.	.	PUNCT
ejpam-2465	172	1	for	for	ADP
ejpam-2465	172	2	any	any	DET
ejpam-2465	172	3	xn	xn	PROPN
ejpam-2465	172	4	,	,	PUNCT
ejpam-2465	172	5	x	x	SYM
ejpam-2465	172	6	⊆	⊆	NUM
ejpam-2465	172	7	bk	bk	NOUN
ejpam-2465	172	8	,	,	PUNCT
ejpam-2465	172	9	n=	n=	ADJ
ejpam-2465	172	10	1,2	1,2	NUM
ejpam-2465	172	11	,	,	PUNCT
ejpam-2465	172	12	.	.	PUNCT
ejpam-2465	172	13	.	.	PUNCT
ejpam-2465	172	14	.	.	PUNCT
ejpam-2465	173	1	with	with	ADP
ejpam-2465	173	2	limn→∞	limn→∞	PROPN
ejpam-2465	173	3	‖xn	‖xn	PROPN
ejpam-2465	173	4	−	−	NOUN
ejpam-2465	173	5	x‖=	x‖=	PROPN
ejpam-2465	173	6	0	0	NUM
ejpam-2465	173	7	,	,	PUNCT
ejpam-2465	173	8	we	we	PRON
ejpam-2465	173	9	get	get	VERB
ejpam-2465	173	10	lim	lim	PROPN
ejpam-2465	173	11	n→∞	n→∞	NUM
ejpam-2465	173	12	xn(t	xn(t	PUNCT
ejpam-2465	173	13	)	)	PUNCT
ejpam-2465	174	1	=	=	SYM
ejpam-2465	174	2	x(t	x(t	PROPN
ejpam-2465	174	3	)	)	PUNCT
ejpam-2465	174	4	,	,	PUNCT
ejpam-2465	174	5	for	for	ADP
ejpam-2465	174	6	t	t	PROPN
ejpam-2465	174	7	∈	∈	PROPN
ejpam-2465	174	8	j	j	PROPN
ejpam-2465	174	9	.	.	PUNCT
ejpam-2465	175	1	thus	thus	ADV
ejpam-2465	175	2	by	by	ADP
ejpam-2465	175	3	condition	condition	NOUN
ejpam-2465	175	4	(	(	PUNCT
ejpam-2465	175	5	h2	h2	NOUN
ejpam-2465	175	6	)	)	PUNCT
ejpam-2465	175	7	,	,	PUNCT
ejpam-2465	175	8	we	we	PRON
ejpam-2465	175	9	have	have	VERB
ejpam-2465	175	10	lim	lim	PROPN
ejpam-2465	175	11	n→∞	n→∞	X
ejpam-2465	175	12	f	f	PROPN
ejpam-2465	175	13	(	(	PUNCT
ejpam-2465	175	14	t	t	PROPN
ejpam-2465	175	15	,	,	PUNCT
ejpam-2465	175	16	xn(t	xn(t	NUM
ejpam-2465	175	17	)	)	PUNCT
ejpam-2465	175	18	,	,	PUNCT
ejpam-2465	175	19	iβ	iβ	ADP
ejpam-2465	175	20	xn(t	xn(t	NOUN
ejpam-2465	175	21	)	)	PUNCT
ejpam-2465	175	22	)	)	PUNCT
ejpam-2465	176	1	=	=	SYM
ejpam-2465	176	2	f	f	PROPN
ejpam-2465	176	3	(	(	PUNCT
ejpam-2465	176	4	t	t	PROPN
ejpam-2465	176	5	,	,	PUNCT
ejpam-2465	176	6	x(t	x(t	PROPN
ejpam-2465	176	7	)	)	PUNCT
ejpam-2465	176	8	,	,	PUNCT
ejpam-2465	176	9	iβ	iβ	ADP
ejpam-2465	176	10	x(t	x(t	PROPN
ejpam-2465	176	11	)	)	PUNCT
ejpam-2465	176	12	)	)	PUNCT
ejpam-2465	176	13	,	,	PUNCT
ejpam-2465	176	14	for	for	ADP
ejpam-2465	176	15	t	t	PROPN
ejpam-2465	176	16	∈	∈	PROPN
ejpam-2465	176	17	j	j	PROPN
ejpam-2465	176	18	.	.	PUNCT
ejpam-2465	177	1	so	so	ADV
ejpam-2465	177	2	,	,	PUNCT
ejpam-2465	177	3	we	we	PRON
ejpam-2465	177	4	can	can	AUX
ejpam-2465	177	5	conclude	conclude	VERB
ejpam-2465	177	6	that	that	DET
ejpam-2465	177	7	sup	sup	NOUN
ejpam-2465	177	8	s∈[0,b	s∈[0,b	PROPN
ejpam-2465	177	9	]	]	X
ejpam-2465	177	10	|	|	NOUN
ejpam-2465	177	11	f	f	X
ejpam-2465	177	12	(	(	PUNCT
ejpam-2465	177	13	s	s	PROPN
ejpam-2465	177	14	,	,	PUNCT
ejpam-2465	177	15	xn(s	xn(s	NUM
ejpam-2465	177	16	)	)	PUNCT
ejpam-2465	177	17	,	,	PUNCT
ejpam-2465	177	18	iβ	iβ	ADP
ejpam-2465	177	19	xn(s))−	xn(s))−	PROPN
ejpam-2465	177	20	f	f	PROPN
ejpam-2465	177	21	(	(	PUNCT
ejpam-2465	177	22	t	t	PROPN
ejpam-2465	177	23	,	,	PUNCT
ejpam-2465	177	24	x(s	x(s	PROPN
ejpam-2465	177	25	)	)	PUNCT
ejpam-2465	177	26	,	,	PUNCT
ejpam-2465	177	27	iβ	iβ	ADP
ejpam-2465	177	28	x(s))|	x(s))|	PROPN
ejpam-2465	177	29	→	→	SYM
ejpam-2465	177	30	0	0	NUM
ejpam-2465	177	31	,	,	PUNCT
ejpam-2465	177	32	as	as	ADP
ejpam-2465	177	33	n→∞.	n→∞.	ADJ
ejpam-2465	177	34	on	on	ADP
ejpam-2465	177	35	the	the	DET
ejpam-2465	177	36	other	other	ADJ
ejpam-2465	177	37	hand	hand	NOUN
ejpam-2465	177	38	,	,	PUNCT
ejpam-2465	177	39	for	for	ADP
ejpam-2465	177	40	t	t	PROPN
ejpam-2465	177	41	∈	∈	PROPN
ejpam-2465	177	42	j	j	PROPN
ejpam-2465	177	43	|f	|f	PROPN
ejpam-2465	177	44	xn(t)−	xn(t)−	PROPN
ejpam-2465	177	45	f	f	PROPN
ejpam-2465	178	1	x(t)|	x(t)|	ADV
ejpam-2465	178	2	m.	m.	PROPN
ejpam-2465	178	3	abbas	abbas	PROPN
ejpam-2465	178	4	/	/	SYM
ejpam-2465	178	5	eur	eur	PROPN
ejpam-2465	178	6	.	.	PUNCT
ejpam-2465	179	1	j.	j.	PROPN
ejpam-2465	179	2	pure	pure	PROPN
ejpam-2465	179	3	appl	appl	PROPN
ejpam-2465	179	4	.	.	PROPN
ejpam-2465	179	5	math	math	PROPN
ejpam-2465	179	6	,	,	PUNCT
ejpam-2465	179	7	8	8	NUM
ejpam-2465	179	8	(	(	PUNCT
ejpam-2465	179	9	2015	2015	NUM
ejpam-2465	179	10	)	)	PUNCT
ejpam-2465	179	11	,	,	PUNCT
ejpam-2465	179	12	478	478	NUM
ejpam-2465	179	13	-	-	SYM
ejpam-2465	179	14	498	498	NUM
ejpam-2465	179	15	485	485	NUM
ejpam-2465	179	16	=	=	SYM
ejpam-2465	179	17	�	�	PROPN
ejpam-2465	179	18	�	�	PROPN
ejpam-2465	179	19	�	�	PROPN
ejpam-2465	179	20	�	�	PROPN
ejpam-2465	179	21	�	�	PROPN
ejpam-2465	179	22	s(t)(g(xn)−	s(t)(g(xn)−	PROPN
ejpam-2465	179	23	g(x	g(x	PROPN
ejpam-2465	179	24	)	)	PUNCT
ejpam-2465	179	25	)	)	PUNCT
ejpam-2465	180	1	+	+	NOUN
ejpam-2465	180	2	α	α	NOUN
ejpam-2465	180	3	∫	∫	PROPN
ejpam-2465	180	4	t	t	PROPN
ejpam-2465	180	5	0	0	NUM
ejpam-2465	180	6	(	(	PUNCT
ejpam-2465	180	7	t	t	NOUN
ejpam-2465	180	8	−	−	PROPN
ejpam-2465	180	9	s)α−1	s)α−1	NOUN
ejpam-2465	180	10	t	t	PROPN
ejpam-2465	180	11	(	(	PUNCT
ejpam-2465	180	12	t	t	PROPN
ejpam-2465	180	13	−	−	PROPN
ejpam-2465	180	14	s	s	PART
ejpam-2465	180	15	)	)	PUNCT
ejpam-2465	180	16	�	�	PROPN
ejpam-2465	180	17	f	f	PROPN
ejpam-2465	180	18	(	(	PUNCT
ejpam-2465	180	19	s	s	PROPN
ejpam-2465	180	20	,	,	PUNCT
ejpam-2465	180	21	xn(s	xn(s	NUM
ejpam-2465	180	22	)	)	PUNCT
ejpam-2465	180	23	,	,	PUNCT
ejpam-2465	180	24	iβ	iβ	ADP
ejpam-2465	180	25	xn(s))−	xn(s))−	PROPN
ejpam-2465	180	26	f	f	PROPN
ejpam-2465	180	27	(	(	PUNCT
ejpam-2465	180	28	s	s	PROPN
ejpam-2465	180	29	,	,	PUNCT
ejpam-2465	180	30	x(s	x(s	PROPN
ejpam-2465	180	31	)	)	PUNCT
ejpam-2465	180	32	,	,	PUNCT
ejpam-2465	180	33	iβ	iβ	ADP
ejpam-2465	180	34	x(s	x(s	PROPN
ejpam-2465	180	35	)	)	PUNCT
ejpam-2465	180	36	)	)	PUNCT
ejpam-2465	180	37	�	�	PROPN
ejpam-2465	180	38	ds	ds	PROPN
ejpam-2465	180	39	�	�	PROPN
ejpam-2465	180	40	�	�	PROPN
ejpam-2465	180	41	�	�	PROPN
ejpam-2465	180	42	�	�	PROPN
ejpam-2465	180	43	�	�	PROPN
ejpam-2465	180	44	≤	≤	PROPN
ejpam-2465	180	45	�	�	PROPN
ejpam-2465	180	46	�	�	PROPN
ejpam-2465	180	47	�	�	PROPN
ejpam-2465	180	48	�	�	PROPN
ejpam-2465	180	49	�	�	PROPN
ejpam-2465	180	50	∫	∫	PROPN
ejpam-2465	180	51	∞	∞	PROPN
ejpam-2465	180	52	0	0	NUM
ejpam-2465	180	53	ξα(θ	ξα(θ	NUM
ejpam-2465	180	54	)	)	PUNCT
ejpam-2465	180	55	q(t	q(t	ADJ
ejpam-2465	180	56	αθ	αθ	NOUN
ejpam-2465	180	57	)	)	PUNCT
ejpam-2465	180	58	(	(	PUNCT
ejpam-2465	180	59	g(xn)−	g(xn)−	NOUN
ejpam-2465	180	60	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	180	61	�	�	PROPN
ejpam-2465	180	62	�	�	PROPN
ejpam-2465	180	63	�	�	PROPN
ejpam-2465	180	64	�	�	PROPN
ejpam-2465	180	65	�	�	PROPN
ejpam-2465	180	66	+	+	PROPN
ejpam-2465	180	67	α	α	PROPN
ejpam-2465	180	68	�	�	PROPN
ejpam-2465	180	69	�	�	PROPN
ejpam-2465	180	70	�	�	PROPN
ejpam-2465	180	71	�	�	PROPN
ejpam-2465	180	72	�	�	PROPN
ejpam-2465	180	73	∫	∫	PROPN
ejpam-2465	180	74	t	t	PROPN
ejpam-2465	180	75	0	0	NUM
ejpam-2465	180	76	∫	∫	PROPN
ejpam-2465	180	77	∞	∞	NUM
ejpam-2465	180	78	0	0	NUM
ejpam-2465	180	79	θ	θ	PROPN
ejpam-2465	180	80	(	(	PUNCT
ejpam-2465	180	81	t	t	NOUN
ejpam-2465	180	82	−	−	PROPN
ejpam-2465	180	83	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	180	84	)	)	PUNCT
ejpam-2465	180	85	q((t	q((t	NOUN
ejpam-2465	181	1	−	−	PROPN
ejpam-2465	182	1	s)αθ	s)αθ	PROPN
ejpam-2465	182	2	)	)	PUNCT
ejpam-2465	182	3	�	�	PROPN
ejpam-2465	182	4	f	f	PROPN
ejpam-2465	182	5	(	(	PUNCT
ejpam-2465	182	6	s	s	PROPN
ejpam-2465	182	7	,	,	PUNCT
ejpam-2465	182	8	xn(s	xn(s	NUM
ejpam-2465	182	9	)	)	PUNCT
ejpam-2465	182	10	,	,	PUNCT
ejpam-2465	182	11	iβ	iβ	ADP
ejpam-2465	182	12	xn(s))−	xn(s))−	PROPN
ejpam-2465	182	13	f	f	PROPN
ejpam-2465	182	14	(	(	PUNCT
ejpam-2465	182	15	s	s	PROPN
ejpam-2465	182	16	,	,	PUNCT
ejpam-2465	182	17	x(s	x(s	PROPN
ejpam-2465	182	18	)	)	PUNCT
ejpam-2465	182	19	,	,	PUNCT
ejpam-2465	182	20	iβ	iβ	ADP
ejpam-2465	182	21	x(s	x(s	PROPN
ejpam-2465	182	22	)	)	PUNCT
ejpam-2465	182	23	)	)	PUNCT
ejpam-2465	182	24	�	�	PROPN
ejpam-2465	182	25	dθds	dθds	PROPN
ejpam-2465	182	26	�	�	PROPN
ejpam-2465	182	27	�	�	PROPN
ejpam-2465	182	28	�	�	PROPN
ejpam-2465	182	29	�	�	PROPN
ejpam-2465	182	30	�	�	PROPN
ejpam-2465	182	31	≤m‖g(xn)−	≤m‖g(xn)−	PROPN
ejpam-2465	182	32	g(x)‖+	g(x)‖+	X
ejpam-2465	182	33	αm	αm	X
ejpam-2465	182	34	γ(α+	γ(α+	PRON
ejpam-2465	182	35	1	1	NUM
ejpam-2465	182	36	)	)	PUNCT
ejpam-2465	182	37	∫	∫	PROPN
ejpam-2465	182	38	t	t	PROPN
ejpam-2465	182	39	0	0	NUM
ejpam-2465	182	40	(	(	PUNCT
ejpam-2465	182	41	t	t	PROPN
ejpam-2465	182	42	−	−	PROPN
ejpam-2465	182	43	s)α−1|	s)α−1|	NOUN
ejpam-2465	182	44	f	f	X
ejpam-2465	182	45	(	(	PUNCT
ejpam-2465	182	46	s	s	PROPN
ejpam-2465	182	47	,	,	PUNCT
ejpam-2465	182	48	xn(s	xn(s	NUM
ejpam-2465	182	49	)	)	PUNCT
ejpam-2465	182	50	,	,	PUNCT
ejpam-2465	182	51	iβ	iβ	ADP
ejpam-2465	182	52	xn(s))−	xn(s))−	PROPN
ejpam-2465	182	53	f	f	PROPN
ejpam-2465	182	54	(	(	PUNCT
ejpam-2465	182	55	s	s	PROPN
ejpam-2465	182	56	,	,	PUNCT
ejpam-2465	182	57	x(s	x(s	PROPN
ejpam-2465	182	58	)	)	PUNCT
ejpam-2465	182	59	,	,	PUNCT
ejpam-2465	182	60	iβ	iβ	ADP
ejpam-2465	182	61	x(s))|ds	x(s))|ds	PROPN
ejpam-2465	182	62	≤m‖g(xn)−	≤m‖g(xn)−	PROPN
ejpam-2465	182	63	g(x)‖+	g(x)‖+	X
ejpam-2465	182	64	m	m	VERB
ejpam-2465	182	65	bα	bα	NOUN
ejpam-2465	182	66	γ(α+	γ(α+	DET
ejpam-2465	182	67	1	1	NUM
ejpam-2465	182	68	)	)	PUNCT
ejpam-2465	182	69	sup	sup	NOUN
ejpam-2465	182	70	s∈[0,b	s∈[0,b	PROPN
ejpam-2465	182	71	]	]	X
ejpam-2465	182	72	|	|	NOUN
ejpam-2465	182	73	f	f	X
ejpam-2465	182	74	(	(	PUNCT
ejpam-2465	182	75	s	s	PROPN
ejpam-2465	182	76	,	,	PUNCT
ejpam-2465	182	77	xn(s	xn(s	NUM
ejpam-2465	182	78	)	)	PUNCT
ejpam-2465	182	79	,	,	PUNCT
ejpam-2465	182	80	iβ	iβ	ADP
ejpam-2465	182	81	xn(s))−	xn(s))−	PROPN
ejpam-2465	182	82	f	f	PROPN
ejpam-2465	182	83	(	(	PUNCT
ejpam-2465	182	84	t	t	PROPN
ejpam-2465	182	85	,	,	PUNCT
ejpam-2465	182	86	x(s	x(s	PROPN
ejpam-2465	182	87	)	)	PUNCT
ejpam-2465	182	88	,	,	PUNCT
ejpam-2465	182	89	iβ	iβ	ADP
ejpam-2465	182	90	x(s))|	x(s))|	PROPN
ejpam-2465	182	91	,	,	PUNCT
ejpam-2465	182	92	which	which	PRON
ejpam-2465	182	93	implies	imply	VERB
ejpam-2465	182	94	‖f	‖f	ADP
ejpam-2465	182	95	xn	xn	PROPN
ejpam-2465	183	1	−	−	PROPN
ejpam-2465	183	2	f	f	PROPN
ejpam-2465	183	3	x‖	x‖	PROPN
ejpam-2465	183	4	≤	≤	PROPN
ejpam-2465	183	5	m‖g(xn)−	m‖g(xn)−	PART
ejpam-2465	183	6	g(x)‖+	g(x)‖+	X
ejpam-2465	183	7	m	m	VERB
ejpam-2465	183	8	bα	bα	NOUN
ejpam-2465	183	9	γ(α+	γ(α+	DET
ejpam-2465	183	10	1	1	NUM
ejpam-2465	183	11	)	)	PUNCT
ejpam-2465	183	12	sup	sup	NOUN
ejpam-2465	183	13	s∈[0,b	s∈[0,b	PROPN
ejpam-2465	183	14	]	]	X
ejpam-2465	184	1	|	|	NOUN
ejpam-2465	184	2	f	f	X
ejpam-2465	184	3	(	(	PUNCT
ejpam-2465	184	4	s	s	PROPN
ejpam-2465	184	5	,	,	PUNCT
ejpam-2465	184	6	xn(s	xn(s	NUM
ejpam-2465	184	7	)	)	PUNCT
ejpam-2465	184	8	,	,	PUNCT
ejpam-2465	184	9	iβ	iβ	ADP
ejpam-2465	184	10	xn(s))−	xn(s))−	PROPN
ejpam-2465	184	11	f	f	PROPN
ejpam-2465	184	12	(	(	PUNCT
ejpam-2465	184	13	t	t	PROPN
ejpam-2465	184	14	,	,	PUNCT
ejpam-2465	184	15	x(s	x(s	PROPN
ejpam-2465	184	16	)	)	PUNCT
ejpam-2465	184	17	,	,	PUNCT
ejpam-2465	184	18	iβ	iβ	ADP
ejpam-2465	184	19	x(s))|	x(s))|	PROPN
ejpam-2465	184	20	.	.	PUNCT
ejpam-2465	185	1	hence	hence	ADV
ejpam-2465	185	2	,	,	PUNCT
ejpam-2465	185	3	by	by	ADP
ejpam-2465	185	4	condition	condition	NOUN
ejpam-2465	185	5	(	(	PUNCT
ejpam-2465	185	6	h3)we	h3)we	PROPN
ejpam-2465	185	7	get	get	VERB
ejpam-2465	185	8	‖f	‖f	ADJ
ejpam-2465	185	9	xn−f	xn−f	PROPN
ejpam-2465	185	10	x‖	x‖	PROPN
ejpam-2465	185	11	→	→	SYM
ejpam-2465	185	12	0	0	NUM
ejpam-2465	185	13	,	,	PUNCT
ejpam-2465	185	14	as	as	ADP
ejpam-2465	185	15	n→∞.	n→∞.	PROPN
ejpam-2465	185	16	this	this	PRON
ejpam-2465	185	17	means	mean	VERB
ejpam-2465	185	18	that	that	SCONJ
ejpam-2465	185	19	f	f	PROPN
ejpam-2465	185	20	is	be	AUX
ejpam-2465	185	21	continuous	continuous	ADJ
ejpam-2465	185	22	.	.	PUNCT
ejpam-2465	186	1	next	next	ADV
ejpam-2465	186	2	,	,	PUNCT
ejpam-2465	186	3	we	we	PRON
ejpam-2465	186	4	will	will	AUX
ejpam-2465	186	5	show	show	VERB
ejpam-2465	186	6	that	that	SCONJ
ejpam-2465	186	7	{	{	PUNCT
ejpam-2465	186	8	f	f	NOUN
ejpam-2465	186	9	x	x	X
ejpam-2465	186	10	,	,	PUNCT
ejpam-2465	186	11	x	x	SYM
ejpam-2465	186	12	∈	∈	PROPN
ejpam-2465	186	13	bk	bk	PRON
ejpam-2465	186	14	}	}	PUNCT
ejpam-2465	186	15	is	be	AUX
ejpam-2465	186	16	equicontinuous	equicontinuous	ADJ
ejpam-2465	186	17	.	.	PUNCT
ejpam-2465	187	1	for	for	ADP
ejpam-2465	187	2	any	any	DET
ejpam-2465	187	3	x	x	SYM
ejpam-2465	187	4	∈	∈	NOUN
ejpam-2465	187	5	bk	bk	NOUN
ejpam-2465	187	6	and	and	CCONJ
ejpam-2465	187	7	0≤	0≤	NUM
ejpam-2465	187	8	t1	t1	NOUN
ejpam-2465	187	9	≤	≤	PUNCT
ejpam-2465	187	10	t2	t2	PROPN
ejpam-2465	187	11	≤	≤	PROPN
ejpam-2465	187	12	b	b	NOUN
ejpam-2465	187	13	,	,	PUNCT
ejpam-2465	187	14	we	we	PRON
ejpam-2465	187	15	get	get	VERB
ejpam-2465	187	16	|(f	|(f	PROPN
ejpam-2465	187	17	x)(t2)−	x)(t2)−	PROPN
ejpam-2465	187	18	(	(	PUNCT
ejpam-2465	187	19	f	f	PROPN
ejpam-2465	187	20	x)(t1)|	x)(t1)|	PROPN
ejpam-2465	187	21	=	=	SYM
ejpam-2465	187	22	�	�	PROPN
ejpam-2465	187	23	�	�	PROPN
ejpam-2465	188	1	[	[	X
ejpam-2465	188	2	s(t2)−	s(t2)−	VERB
ejpam-2465	188	3	s(t1)](x0	s(t1)](x0	NOUN
ejpam-2465	188	4	−	−	PROPN
ejpam-2465	188	5	g(x	g(x	NOUN
ejpam-2465	188	6	)	)	PUNCT
ejpam-2465	188	7	)	)	PUNCT
ejpam-2465	189	1	+	+	CCONJ
ejpam-2465	189	2	α	α	PRON
ejpam-2465	189	3	∫	∫	PROPN
ejpam-2465	189	4	t2	t2	PROPN
ejpam-2465	189	5	0	0	NUM
ejpam-2465	189	6	(	(	PUNCT
ejpam-2465	189	7	t2	t2	NOUN
ejpam-2465	189	8	−	−	PROPN
ejpam-2465	189	9	s)α−1	s)α−1	NOUN
ejpam-2465	189	10	t	t	NOUN
ejpam-2465	189	11	(	(	PUNCT
ejpam-2465	189	12	t2	t2	NOUN
ejpam-2465	189	13	−	−	PROPN
ejpam-2465	189	14	s	s	PART
ejpam-2465	189	15	)	)	PUNCT
ejpam-2465	189	16	f	f	PROPN
ejpam-2465	189	17	(	(	PUNCT
ejpam-2465	189	18	s	s	PROPN
ejpam-2465	189	19	,	,	PUNCT
ejpam-2465	189	20	x(s	x(s	PROPN
ejpam-2465	189	21	)	)	PUNCT
ejpam-2465	189	22	,	,	PUNCT
ejpam-2465	189	23	iβ	iβ	ADP
ejpam-2465	189	24	x(s))ds	x(s))ds	PROPN
ejpam-2465	189	25	−	−	PROPN
ejpam-2465	190	1	α	α	PROPN
ejpam-2465	190	2	∫	∫	PROPN
ejpam-2465	190	3	t1	t1	NOUN
ejpam-2465	190	4	0	0	NUM
ejpam-2465	191	1	(	(	PUNCT
ejpam-2465	191	2	t1	t1	NOUN
ejpam-2465	191	3	−	−	NOUN
ejpam-2465	191	4	s)α−1	s)α−1	NOUN
ejpam-2465	191	5	t	t	NOUN
ejpam-2465	191	6	(	(	PUNCT
ejpam-2465	191	7	t1	t1	NOUN
ejpam-2465	191	8	−	−	PROPN
ejpam-2465	191	9	s	s	PART
ejpam-2465	191	10	)	)	PUNCT
ejpam-2465	191	11	f	f	PROPN
ejpam-2465	191	12	(	(	PUNCT
ejpam-2465	191	13	s	s	PROPN
ejpam-2465	191	14	,	,	PUNCT
ejpam-2465	191	15	x(s	x(s	PROPN
ejpam-2465	191	16	)	)	PUNCT
ejpam-2465	191	17	,	,	PUNCT
ejpam-2465	191	18	iβ	iβ	ADP
ejpam-2465	191	19	x(s))ds	x(s))ds	PROPN
ejpam-2465	191	20	�	�	PROPN
ejpam-2465	191	21	�	�	PROPN
ejpam-2465	191	22	�	�	PROPN
ejpam-2465	191	23	�	�	PROPN
ejpam-2465	191	24	�	�	PROPN
ejpam-2465	191	25	≤	≤	PROPN
ejpam-2465	191	26	�	�	PROPN
ejpam-2465	191	27	�	�	PROPN
ejpam-2465	191	28	�	�	PROPN
ejpam-2465	191	29	�	�	PROPN
ejpam-2465	191	30	�	�	PROPN
ejpam-2465	191	31	∫	∫	PROPN
ejpam-2465	191	32	∞	∞	PROPN
ejpam-2465	191	33	0	0	NUM
ejpam-2465	191	34	ξα(θ	ξα(θ	NUM
ejpam-2465	191	35	)	)	PUNCT
ejpam-2465	192	1	[	[	X
ejpam-2465	192	2	q(t	q(t	NOUN
ejpam-2465	192	3	α	α	NOUN
ejpam-2465	192	4	2θ	2θ	NUM
ejpam-2465	192	5	)	)	PUNCT
ejpam-2465	192	6	−q(tα1θ	−q(tα1θ	PROPN
ejpam-2465	192	7	)	)	PUNCT
ejpam-2465	193	1	]	]	PUNCT
ejpam-2465	193	2	(	(	PUNCT
ejpam-2465	193	3	x0	x0	PROPN
ejpam-2465	193	4	−	−	PROPN
ejpam-2465	193	5	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	193	6	�	�	PROPN
ejpam-2465	193	7	�	�	PROPN
ejpam-2465	193	8	�	�	PROPN
ejpam-2465	193	9	�	�	PROPN
ejpam-2465	193	10	�	�	PROPN
ejpam-2465	193	11	+	+	PROPN
ejpam-2465	193	12	α	α	PROPN
ejpam-2465	193	13	�	�	PROPN
ejpam-2465	193	14	�	�	PROPN
ejpam-2465	193	15	�	�	PROPN
ejpam-2465	193	16	�	�	PROPN
ejpam-2465	193	17	�	�	PROPN
ejpam-2465	193	18	∫	∫	PROPN
ejpam-2465	193	19	t2	t2	PROPN
ejpam-2465	193	20	0	0	NUM
ejpam-2465	193	21	∫	∫	PROPN
ejpam-2465	193	22	∞	∞	NUM
ejpam-2465	193	23	0	0	NUM
ejpam-2465	193	24	θ	θ	NOUN
ejpam-2465	193	25	(	(	PUNCT
ejpam-2465	193	26	t2	t2	NOUN
ejpam-2465	193	27	−	−	PROPN
ejpam-2465	193	28	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	193	29	)	)	PUNCT
ejpam-2465	193	30	q((t2	q((t2	NOUN
ejpam-2465	193	31	−	−	PUNCT
ejpam-2465	193	32	s)αθ	s)αθ	PROPN
ejpam-2465	193	33	)	)	PUNCT
ejpam-2465	193	34	f	f	PROPN
ejpam-2465	193	35	(	(	PUNCT
ejpam-2465	193	36	s	s	PROPN
ejpam-2465	193	37	,	,	PUNCT
ejpam-2465	193	38	x(s	x(s	PROPN
ejpam-2465	193	39	)	)	PUNCT
ejpam-2465	193	40	,	,	PUNCT
ejpam-2465	193	41	iβ	iβ	ADP
ejpam-2465	193	42	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	193	43	−	−	PROPN
ejpam-2465	193	44	∫	∫	PROPN
ejpam-2465	193	45	t1	t1	NOUN
ejpam-2465	193	46	0	0	NUM
ejpam-2465	193	47	∫	∫	PROPN
ejpam-2465	193	48	∞	∞	NUM
ejpam-2465	193	49	0	0	NUM
ejpam-2465	193	50	θ	θ	PROPN
ejpam-2465	193	51	(	(	PUNCT
ejpam-2465	193	52	t1	t1	NOUN
ejpam-2465	193	53	−	−	PROPN
ejpam-2465	193	54	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	193	55	)	)	PUNCT
ejpam-2465	193	56	q((t1	q((t1	NOUN
ejpam-2465	193	57	−	−	PROPN
ejpam-2465	194	1	s)αθ	s)αθ	PROPN
ejpam-2465	194	2	)	)	PUNCT
ejpam-2465	194	3	f	f	PROPN
ejpam-2465	194	4	(	(	PUNCT
ejpam-2465	194	5	s	s	PROPN
ejpam-2465	194	6	,	,	PUNCT
ejpam-2465	194	7	x(s	x(s	PROPN
ejpam-2465	194	8	)	)	PUNCT
ejpam-2465	194	9	,	,	PUNCT
ejpam-2465	194	10	iβ	iβ	ADP
ejpam-2465	194	11	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	194	12	�	�	PROPN
ejpam-2465	194	13	�	�	PROPN
ejpam-2465	194	14	�	�	PROPN
ejpam-2465	194	15	�	�	PROPN
ejpam-2465	194	16	�	�	PROPN
ejpam-2465	194	17	≤	≤	PROPN
ejpam-2465	194	18	�	�	PROPN
ejpam-2465	194	19	�	�	PROPN
ejpam-2465	194	20	�	�	PROPN
ejpam-2465	194	21	�	�	PROPN
ejpam-2465	194	22	�	�	PROPN
ejpam-2465	194	23	∫	∫	PROPN
ejpam-2465	194	24	∞	∞	PROPN
ejpam-2465	194	25	0	0	NUM
ejpam-2465	194	26	ξα(θ	ξα(θ	NUM
ejpam-2465	194	27	)	)	PUNCT
ejpam-2465	195	1	[	[	X
ejpam-2465	195	2	q(t	q(t	NOUN
ejpam-2465	195	3	α	α	NOUN
ejpam-2465	195	4	2θ	2θ	NUM
ejpam-2465	195	5	)	)	PUNCT
ejpam-2465	195	6	−q(tα1θ	−q(tα1θ	PROPN
ejpam-2465	195	7	)	)	PUNCT
ejpam-2465	196	1	]	]	PUNCT
ejpam-2465	196	2	(	(	PUNCT
ejpam-2465	196	3	x0	x0	PROPN
ejpam-2465	196	4	−	−	PROPN
ejpam-2465	196	5	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	196	6	�	�	PROPN
ejpam-2465	196	7	�	�	PROPN
ejpam-2465	196	8	�	�	PROPN
ejpam-2465	196	9	�	�	PROPN
ejpam-2465	196	10	�	�	PROPN
ejpam-2465	196	11	+	+	PROPN
ejpam-2465	196	12	α	α	PROPN
ejpam-2465	196	13	�	�	PROPN
ejpam-2465	196	14	�	�	PROPN
ejpam-2465	196	15	�	�	PROPN
ejpam-2465	196	16	�	�	PROPN
ejpam-2465	196	17	�	�	PROPN
ejpam-2465	196	18	∫	∫	PROPN
ejpam-2465	196	19	t2	t2	PROPN
ejpam-2465	196	20	t1	t1	PROPN
ejpam-2465	196	21	∫	∫	PROPN
ejpam-2465	196	22	∞	∞	NUM
ejpam-2465	196	23	0	0	NUM
ejpam-2465	196	24	θ	θ	PROPN
ejpam-2465	196	25	(	(	PUNCT
ejpam-2465	196	26	t2	t2	NOUN
ejpam-2465	196	27	−	−	PROPN
ejpam-2465	196	28	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	196	29	)	)	PUNCT
ejpam-2465	196	30	q((t2	q((t2	NOUN
ejpam-2465	196	31	−	−	PUNCT
ejpam-2465	196	32	s)αθ	s)αθ	PROPN
ejpam-2465	196	33	)	)	PUNCT
ejpam-2465	196	34	f	f	PROPN
ejpam-2465	196	35	(	(	PUNCT
ejpam-2465	196	36	s	s	PROPN
ejpam-2465	196	37	,	,	PUNCT
ejpam-2465	196	38	x(s	x(s	PROPN
ejpam-2465	196	39	)	)	PUNCT
ejpam-2465	196	40	,	,	PUNCT
ejpam-2465	196	41	iβ	iβ	ADP
ejpam-2465	196	42	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	196	43	�	�	PROPN
ejpam-2465	196	44	�	�	PROPN
ejpam-2465	196	45	�	�	PROPN
ejpam-2465	196	46	�	�	PROPN
ejpam-2465	196	47	�	�	PROPN
ejpam-2465	196	48	m.	m.	NOUN
ejpam-2465	196	49	abbas	abbas	PROPN
ejpam-2465	196	50	/	/	SYM
ejpam-2465	196	51	eur	eur	PROPN
ejpam-2465	196	52	.	.	PUNCT
ejpam-2465	197	1	j.	j.	PROPN
ejpam-2465	197	2	pure	pure	PROPN
ejpam-2465	197	3	appl	appl	PROPN
ejpam-2465	197	4	.	.	PROPN
ejpam-2465	197	5	math	math	PROPN
ejpam-2465	197	6	,	,	PUNCT
ejpam-2465	197	7	8	8	NUM
ejpam-2465	197	8	(	(	PUNCT
ejpam-2465	197	9	2015	2015	NUM
ejpam-2465	197	10	)	)	PUNCT
ejpam-2465	197	11	,	,	PUNCT
ejpam-2465	197	12	478	478	NUM
ejpam-2465	197	13	-	-	SYM
ejpam-2465	197	14	498	498	NUM
ejpam-2465	197	15	486	486	NUM
ejpam-2465	197	16	+	+	ADJ
ejpam-2465	197	17	α	α	PROPN
ejpam-2465	197	18	�	�	PROPN
ejpam-2465	197	19	�	�	PROPN
ejpam-2465	197	20	�	�	PROPN
ejpam-2465	197	21	�	�	PROPN
ejpam-2465	197	22	�	�	PROPN
ejpam-2465	197	23	∫	∫	PROPN
ejpam-2465	197	24	t1	t1	NOUN
ejpam-2465	197	25	0	0	NUM
ejpam-2465	197	26	∫	∫	PROPN
ejpam-2465	198	1	∞	∞	PROPN
ejpam-2465	198	2	0	0	NUM
ejpam-2465	198	3	θ[(t2	θ[(t2	NUM
ejpam-2465	198	4	−	−	NOUN
ejpam-2465	198	5	s)α−1	s)α−1	NOUN
ejpam-2465	198	6	−	−	PROPN
ejpam-2465	198	7	(	(	PUNCT
ejpam-2465	198	8	t1	t1	NOUN
ejpam-2465	198	9	−	−	PROPN
ejpam-2465	198	10	s)α−1]ξα(θ	s)α−1]ξα(θ	NOUN
ejpam-2465	198	11	)	)	PUNCT
ejpam-2465	198	12	q((t2	q((t2	NOUN
ejpam-2465	198	13	−	−	PUNCT
ejpam-2465	198	14	s)αθ	s)αθ	PROPN
ejpam-2465	198	15	)	)	PUNCT
ejpam-2465	198	16	f	f	PROPN
ejpam-2465	198	17	(	(	PUNCT
ejpam-2465	198	18	s	s	PROPN
ejpam-2465	198	19	,	,	PUNCT
ejpam-2465	198	20	x(s	x(s	PROPN
ejpam-2465	198	21	)	)	PUNCT
ejpam-2465	198	22	,	,	PUNCT
ejpam-2465	198	23	iβ	iβ	ADP
ejpam-2465	198	24	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	198	25	�	�	PROPN
ejpam-2465	198	26	�	�	PROPN
ejpam-2465	198	27	�	�	PROPN
ejpam-2465	198	28	�	�	PROPN
ejpam-2465	198	29	�	�	PROPN
ejpam-2465	198	30	+	+	PROPN
ejpam-2465	198	31	α	α	PROPN
ejpam-2465	198	32	�	�	PROPN
ejpam-2465	198	33	�	�	PROPN
ejpam-2465	198	34	�	�	PROPN
ejpam-2465	198	35	�	�	PROPN
ejpam-2465	198	36	�	�	PROPN
ejpam-2465	198	37	∫	∫	PROPN
ejpam-2465	198	38	t1	t1	NOUN
ejpam-2465	198	39	0	0	NUM
ejpam-2465	198	40	∫	∫	PROPN
ejpam-2465	199	1	∞	∞	NUM
ejpam-2465	199	2	0	0	NUM
ejpam-2465	199	3	θ	θ	PROPN
ejpam-2465	199	4	(	(	PUNCT
ejpam-2465	199	5	t1	t1	NOUN
ejpam-2465	199	6	−	−	PROPN
ejpam-2465	199	7	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	199	8	)	)	PUNCT
ejpam-2465	200	1	[	[	X
ejpam-2465	200	2	q((t2	q((t2	NOUN
ejpam-2465	200	3	−	−	ADP
ejpam-2465	200	4	s)αθ	s)αθ	PROPN
ejpam-2465	200	5	)	)	PUNCT
ejpam-2465	200	6	−q((t1	−q((t1	PART
ejpam-2465	200	7	−	−	PUNCT
ejpam-2465	201	1	s)αθ	s)αθ	PROPN
ejpam-2465	201	2	)	)	PUNCT
ejpam-2465	201	3	]	]	PUNCT
ejpam-2465	202	1	f	f	X
ejpam-2465	202	2	(	(	PUNCT
ejpam-2465	202	3	s	s	PROPN
ejpam-2465	202	4	,	,	PUNCT
ejpam-2465	202	5	x(s	x(s	PROPN
ejpam-2465	202	6	)	)	PUNCT
ejpam-2465	202	7	,	,	PUNCT
ejpam-2465	202	8	iβ	iβ	ADP
ejpam-2465	202	9	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	202	10	�	�	PROPN
ejpam-2465	202	11	�	�	PROPN
ejpam-2465	202	12	�	�	PROPN
ejpam-2465	202	13	�	�	PROPN
ejpam-2465	202	14	�	�	PROPN
ejpam-2465	202	15	=	=	SYM
ejpam-2465	202	16	�	�	PROPN
ejpam-2465	202	17	�	�	PROPN
ejpam-2465	202	18	�	�	PROPN
ejpam-2465	202	19	�	�	PROPN
ejpam-2465	202	20	�	�	PROPN
ejpam-2465	202	21	∫	∫	PROPN
ejpam-2465	202	22	∞	∞	PROPN
ejpam-2465	202	23	0	0	NUM
ejpam-2465	202	24	ξα(θ	ξα(θ	NUM
ejpam-2465	202	25	)	)	PUNCT
ejpam-2465	203	1	[	[	X
ejpam-2465	203	2	q(t	q(t	NOUN
ejpam-2465	203	3	α	α	NOUN
ejpam-2465	203	4	2θ	2θ	NUM
ejpam-2465	203	5	)	)	PUNCT
ejpam-2465	203	6	−q(tα1θ	−q(tα1θ	PROPN
ejpam-2465	203	7	)	)	PUNCT
ejpam-2465	204	1	]	]	PUNCT
ejpam-2465	204	2	(	(	PUNCT
ejpam-2465	204	3	x0	x0	PROPN
ejpam-2465	204	4	−	−	PROPN
ejpam-2465	204	5	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	204	6	�	�	PROPN
ejpam-2465	204	7	�	�	PROPN
ejpam-2465	204	8	�	�	PROPN
ejpam-2465	204	9	�	�	PROPN
ejpam-2465	204	10	�	�	PROPN
ejpam-2465	204	11	+	+	PROPN
ejpam-2465	204	12	α(i1	α(i1	NOUN
ejpam-2465	204	13	+	+	SYM
ejpam-2465	204	14	i2	i2	PROPN
ejpam-2465	204	15	+	+	CCONJ
ejpam-2465	204	16	i3	i3	NOUN
ejpam-2465	204	17	)	)	PUNCT
ejpam-2465	204	18	,	,	PUNCT
ejpam-2465	204	19	where	where	SCONJ
ejpam-2465	204	20	i1	i1	PROPN
ejpam-2465	204	21	=	=	PROPN
ejpam-2465	204	22	α	α	PROPN
ejpam-2465	204	23	�	�	PROPN
ejpam-2465	204	24	�	�	PROPN
ejpam-2465	204	25	�	�	PROPN
ejpam-2465	204	26	�	�	PROPN
ejpam-2465	204	27	�	�	PROPN
ejpam-2465	204	28	∫	∫	PROPN
ejpam-2465	204	29	t2	t2	PROPN
ejpam-2465	204	30	t1	t1	PROPN
ejpam-2465	204	31	∫	∫	PROPN
ejpam-2465	204	32	∞	∞	NUM
ejpam-2465	204	33	0	0	NUM
ejpam-2465	204	34	θ	θ	PROPN
ejpam-2465	204	35	(	(	PUNCT
ejpam-2465	204	36	t2	t2	NOUN
ejpam-2465	204	37	−	−	PROPN
ejpam-2465	204	38	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	204	39	)	)	PUNCT
ejpam-2465	204	40	q((t2	q((t2	NOUN
ejpam-2465	204	41	−	−	PUNCT
ejpam-2465	204	42	s)αθ	s)αθ	PROPN
ejpam-2465	204	43	)	)	PUNCT
ejpam-2465	204	44	f	f	PROPN
ejpam-2465	204	45	(	(	PUNCT
ejpam-2465	204	46	s	s	PROPN
ejpam-2465	204	47	,	,	PUNCT
ejpam-2465	204	48	x(s	x(s	PROPN
ejpam-2465	204	49	)	)	PUNCT
ejpam-2465	204	50	,	,	PUNCT
ejpam-2465	204	51	iβ	iβ	ADP
ejpam-2465	204	52	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	204	53	�	�	PROPN
ejpam-2465	204	54	�	�	PROPN
ejpam-2465	204	55	�	�	PROPN
ejpam-2465	204	56	�	�	PROPN
ejpam-2465	204	57	�	�	PROPN
ejpam-2465	204	58	,	,	PUNCT
ejpam-2465	204	59	i2	i2	PROPN
ejpam-2465	204	60	=	=	PROPN
ejpam-2465	204	61	α	α	PROPN
ejpam-2465	204	62	�	�	PROPN
ejpam-2465	204	63	�	�	PROPN
ejpam-2465	204	64	�	�	PROPN
ejpam-2465	204	65	�	�	PROPN
ejpam-2465	204	66	�	�	PROPN
ejpam-2465	204	67	∫	∫	PROPN
ejpam-2465	204	68	t1	t1	NOUN
ejpam-2465	204	69	0	0	NUM
ejpam-2465	205	1	∫	∫	PROPN
ejpam-2465	206	1	∞	∞	PROPN
ejpam-2465	206	2	0	0	NUM
ejpam-2465	206	3	θ[(t2	θ[(t2	NUM
ejpam-2465	206	4	−	−	NOUN
ejpam-2465	206	5	s)α−1	s)α−1	NOUN
ejpam-2465	206	6	−	−	PROPN
ejpam-2465	206	7	(	(	PUNCT
ejpam-2465	206	8	t1	t1	NOUN
ejpam-2465	206	9	−	−	PROPN
ejpam-2465	206	10	s)α−1]ξα(θ	s)α−1]ξα(θ	NOUN
ejpam-2465	206	11	)	)	PUNCT
ejpam-2465	206	12	q((t2	q((t2	NOUN
ejpam-2465	206	13	−	−	PUNCT
ejpam-2465	206	14	s)αθ	s)αθ	PROPN
ejpam-2465	206	15	)	)	PUNCT
ejpam-2465	206	16	f	f	PROPN
ejpam-2465	206	17	(	(	PUNCT
ejpam-2465	206	18	s	s	PROPN
ejpam-2465	206	19	,	,	PUNCT
ejpam-2465	206	20	x(s	x(s	PROPN
ejpam-2465	206	21	)	)	PUNCT
ejpam-2465	206	22	,	,	PUNCT
ejpam-2465	206	23	iβ	iβ	ADP
ejpam-2465	206	24	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	206	25	�	�	PROPN
ejpam-2465	206	26	�	�	PROPN
ejpam-2465	206	27	�	�	PROPN
ejpam-2465	206	28	�	�	PROPN
ejpam-2465	206	29	�	�	PROPN
ejpam-2465	206	30	,	,	PUNCT
ejpam-2465	206	31	i3	i3	NOUN
ejpam-2465	206	32	=	=	PROPN
ejpam-2465	206	33	α	α	PRON
ejpam-2465	206	34	�	�	PROPN
ejpam-2465	206	35	�	�	PROPN
ejpam-2465	206	36	�	�	PROPN
ejpam-2465	206	37	�	�	PROPN
ejpam-2465	206	38	�	�	PROPN
ejpam-2465	206	39	∫	∫	PROPN
ejpam-2465	206	40	t1	t1	NOUN
ejpam-2465	206	41	0	0	NUM
ejpam-2465	207	1	∫	∫	PROPN
ejpam-2465	207	2	∞	∞	NUM
ejpam-2465	208	1	0	0	NUM
ejpam-2465	208	2	θ	θ	PROPN
ejpam-2465	208	3	(	(	PUNCT
ejpam-2465	208	4	t1	t1	NOUN
ejpam-2465	208	5	−	−	PROPN
ejpam-2465	208	6	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	208	7	)	)	PUNCT
ejpam-2465	209	1	[	[	X
ejpam-2465	209	2	q((t2	q((t2	NOUN
ejpam-2465	209	3	−	−	ADP
ejpam-2465	209	4	s)αθ	s)αθ	PROPN
ejpam-2465	209	5	)	)	PUNCT
ejpam-2465	209	6	−q((t1	−q((t1	PART
ejpam-2465	209	7	−	−	PUNCT
ejpam-2465	210	1	s)αθ	s)αθ	PROPN
ejpam-2465	210	2	)	)	PUNCT
ejpam-2465	210	3	]	]	PUNCT
ejpam-2465	211	1	f	f	X
ejpam-2465	211	2	(	(	PUNCT
ejpam-2465	211	3	s	s	PROPN
ejpam-2465	211	4	,	,	PUNCT
ejpam-2465	211	5	x(s	x(s	PROPN
ejpam-2465	211	6	)	)	PUNCT
ejpam-2465	211	7	,	,	PUNCT
ejpam-2465	211	8	iβ	iβ	ADP
ejpam-2465	211	9	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	211	10	�	�	PROPN
ejpam-2465	211	11	�	�	PROPN
ejpam-2465	211	12	�	�	PROPN
ejpam-2465	211	13	�	�	PROPN
ejpam-2465	211	14	�	�	PROPN
ejpam-2465	211	15	.	.	PUNCT
ejpam-2465	212	1	by	by	ADP
ejpam-2465	212	2	using	use	VERB
ejpam-2465	212	3	analogous	analogous	ADJ
ejpam-2465	212	4	argument	argument	NOUN
ejpam-2465	212	5	performed	perform	VERB
ejpam-2465	212	6	in	in	ADP
ejpam-2465	212	7	(	(	PUNCT
ejpam-2465	212	8	4	4	NUM
ejpam-2465	212	9	)	)	PUNCT
ejpam-2465	212	10	and	and	CCONJ
ejpam-2465	212	11	(	(	PUNCT
ejpam-2465	212	12	5	5	NUM
ejpam-2465	212	13	)	)	PUNCT
ejpam-2465	212	14	,	,	PUNCT
ejpam-2465	212	15	we	we	PRON
ejpam-2465	212	16	can	can	AUX
ejpam-2465	212	17	conclude	conclude	VERB
ejpam-2465	212	18	that	that	DET
ejpam-2465	212	19	i1	i1	PROPN
ejpam-2465	212	20	≤	≤	PROPN
ejpam-2465	212	21	αmk	αmk	PROPN
ejpam-2465	212	22	γ(α+	γ(α+	DET
ejpam-2465	212	23	1	1	NUM
ejpam-2465	212	24	)	)	PUNCT
ejpam-2465	212	25	∫	∫	PROPN
ejpam-2465	212	26	t2	t2	PROPN
ejpam-2465	212	27	t1	t1	PROPN
ejpam-2465	212	28	(	(	PUNCT
ejpam-2465	212	29	t2	t2	NOUN
ejpam-2465	212	30	−	−	PROPN
ejpam-2465	212	31	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	212	32	+	+	X
ejpam-2465	212	33	1	1	NUM
ejpam-2465	212	34	γ(β	γ(β	PROPN
ejpam-2465	212	35	+	+	CCONJ
ejpam-2465	212	36	1	1	X
ejpam-2465	212	37	)	)	PUNCT
ejpam-2465	212	38	sβ	sβ	NOUN
ejpam-2465	212	39	)	)	PUNCT
ejpam-2465	212	40	ds	ds	PROPN
ejpam-2465	212	41	≤	≤	NUM
ejpam-2465	212	42	mk	mk	X
ejpam-2465	212	43	γ(1+α	γ(1+α	PROPN
ejpam-2465	212	44	)	)	PUNCT
ejpam-2465	212	45			PROPN
ejpam-2465	212	46			PROPN
ejpam-2465	212	47	�	�	PROPN
ejpam-2465	212	48	∫	∫	PROPN
ejpam-2465	212	49	t2	t2	PROPN
ejpam-2465	212	50	t1	t1	PROPN
ejpam-2465	212	51	(	(	PUNCT
ejpam-2465	212	52	t2	t2	NOUN
ejpam-2465	212	53	−	−	PROPN
ejpam-2465	212	54	s	s	NOUN
ejpam-2465	212	55	)	)	PUNCT
ejpam-2465	212	56	(	(	PUNCT
ejpam-2465	212	57	α−1)p	α−1)p	NUM
ejpam-2465	212	58	p−1	p−1	PROPN
ejpam-2465	212	59	ds	ds	PROPN
ejpam-2465	212	60	�	�	PROPN
ejpam-2465	212	61	p−1	p−1	PROPN
ejpam-2465	212	62	p	p	PROPN
ejpam-2465	212	63	�	�	PROPN
ejpam-2465	212	64	∫	∫	PROPN
ejpam-2465	212	65	t2	t2	PROPN
ejpam-2465	212	66	t1	t1	PROPN
ejpam-2465	212	67	(	(	PUNCT
ejpam-2465	212	68	µ(s))pds	µ(s))pds	X
ejpam-2465	212	69	�	�	PROPN
ejpam-2465	212	70	1	1	NUM
ejpam-2465	212	71	p	p	NOUN
ejpam-2465	212	72	+	+	NOUN
ejpam-2465	212	73	1	1	NUM
ejpam-2465	212	74	γ(1	γ(1	NOUN
ejpam-2465	212	75	+	+	CCONJ
ejpam-2465	212	76	β	β	X
ejpam-2465	212	77	)	)	PUNCT
ejpam-2465	212	78	�	�	PROPN
ejpam-2465	212	79	∫	∫	PROPN
ejpam-2465	212	80	t2	t2	PROPN
ejpam-2465	212	81	t1	t1	PROPN
ejpam-2465	212	82	(	(	PUNCT
ejpam-2465	212	83	t−s	t−	NOUN
ejpam-2465	212	84	)	)	PUNCT
ejpam-2465	212	85	(	(	PUNCT
ejpam-2465	212	86	α−1)p	α−1)p	NUM
ejpam-2465	212	87	p−1	p−1	PROPN
ejpam-2465	212	88	ds	ds	PROPN
ejpam-2465	212	89	�	�	PROPN
ejpam-2465	212	90	p−1	p−1	PROPN
ejpam-2465	212	91	p	p	PROPN
ejpam-2465	212	92	�	�	PROPN
ejpam-2465	212	93	∫	∫	PROPN
ejpam-2465	212	94	t2	t2	PROPN
ejpam-2465	212	95	t1	t1	PROPN
ejpam-2465	212	96	(	(	PUNCT
ejpam-2465	212	97	sβpµ(s))pds	sβpµ(s))pds	PROPN
ejpam-2465	212	98	�	�	PROPN
ejpam-2465	212	99	1	1	NUM
ejpam-2465	212	100	p	p	NOUN
ejpam-2465	212	101			PROPN
ejpam-2465	212	102			PUNCT
ejpam-2465	213	1	≤	≤	ADJ
ejpam-2465	213	2	mk	mk	PROPN
ejpam-2465	213	3	γ(1+α	γ(1+α	PROPN
ejpam-2465	213	4	)	)	PUNCT
ejpam-2465	213	5	�	�	PROPN
ejpam-2465	213	6	p−	p−	PROPN
ejpam-2465	213	7	1	1	NUM
ejpam-2465	213	8	p+	p+	NOUN
ejpam-2465	213	9	(	(	PUNCT
ejpam-2465	213	10	α−	α−	ADP
ejpam-2465	213	11	1)p−	1)p−	NUM
ejpam-2465	213	12	1	1	NUM
ejpam-2465	213	13	�	�	PROPN
ejpam-2465	213	14	p−1	p−1	PROPN
ejpam-2465	213	15	p	p	PROPN
ejpam-2465	213	16	(	(	PUNCT
ejpam-2465	213	17	t2	t2	PROPN
ejpam-2465	213	18	−	−	PROPN
ejpam-2465	213	19	t1	t1	PROPN
ejpam-2465	213	20	)	)	PUNCT
ejpam-2465	214	1	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	214	2	p	p	NOUN
ejpam-2465	214	3	×	×	PROPN
ejpam-2465	214	4			PROPN
ejpam-2465	214	5	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	214	6	,	,	PUNCT
ejpam-2465	214	7	r+	r+	PUNCT
ejpam-2465	214	8	)	)	PUNCT
ejpam-2465	215	1	+	+	CCONJ
ejpam-2465	215	2	1	1	NUM
ejpam-2465	215	3	γ(1	γ(1	NOUN
ejpam-2465	215	4	+	+	CCONJ
ejpam-2465	215	5	β	β	X
ejpam-2465	215	6	)	)	PUNCT
ejpam-2465	215	7	�	�	PROPN
ejpam-2465	215	8	∫	∫	PROPN
ejpam-2465	215	9	t2	t2	PROPN
ejpam-2465	215	10	t1	t1	PROPN
ejpam-2465	215	11	s	s	PART
ejpam-2465	215	12	βp2	βp2	NOUN
ejpam-2465	215	13	p−1	p−1	PROPN
ejpam-2465	215	14	ds	ds	PRON
ejpam-2465	215	15	�	�	PROPN
ejpam-2465	215	16	p−1	p−1	PROPN
ejpam-2465	215	17	p2	p2	PROPN
ejpam-2465	215	18	�	�	PROPN
ejpam-2465	215	19	∫	∫	PROPN
ejpam-2465	215	20	t2	t2	PROPN
ejpam-2465	215	21	t1	t1	NOUN
ejpam-2465	215	22	(	(	PUNCT
ejpam-2465	215	23	µ(s))p	µ(s))p	PROPN
ejpam-2465	215	24	2	2	NUM
ejpam-2465	215	25	ds	ds	PROPN
ejpam-2465	215	26	�	�	PROPN
ejpam-2465	215	27	1	1	NUM
ejpam-2465	215	28	p2	p2	PROPN
ejpam-2465	215	29			NOUN
ejpam-2465	215	30			PUNCT
ejpam-2465	216	1	≤	≤	ADJ
ejpam-2465	216	2	mk	mk	PROPN
ejpam-2465	216	3	γ(1+α	γ(1+α	PROPN
ejpam-2465	216	4	)	)	PUNCT
ejpam-2465	216	5	�	�	PROPN
ejpam-2465	216	6	p−	p−	PROPN
ejpam-2465	216	7	1	1	NUM
ejpam-2465	216	8	p+	p+	NOUN
ejpam-2465	216	9	(	(	PUNCT
ejpam-2465	216	10	α−	α−	ADP
ejpam-2465	216	11	1)p−	1)p−	NUM
ejpam-2465	216	12	1	1	NUM
ejpam-2465	216	13	�	�	PROPN
ejpam-2465	216	14	p−1	p−1	PROPN
ejpam-2465	216	15	p	p	PROPN
ejpam-2465	216	16	(	(	PUNCT
ejpam-2465	216	17	t2	t2	PROPN
ejpam-2465	216	18	−	−	PROPN
ejpam-2465	216	19	t1	t1	PROPN
ejpam-2465	216	20	)	)	PUNCT
ejpam-2465	216	21	α−	α−	ADP
ejpam-2465	216	22	1	1	NUM
ejpam-2465	216	23	p	p	NOUN
ejpam-2465	216	24	×	×	PROPN
ejpam-2465	216	25			NOUN
ejpam-2465	216	26			NOUN
ejpam-2465	216	27			NOUN
ejpam-2465	216	28			NOUN
ejpam-2465	216	29	‖µ‖lp(j	‖µ‖lp(j	NOUN
ejpam-2465	216	30	,	,	PUNCT
ejpam-2465	216	31	r+	r+	PUNCT
ejpam-2465	216	32	)	)	PUNCT
ejpam-2465	217	1	+	+	CCONJ
ejpam-2465	217	2	1	1	NUM
ejpam-2465	217	3	γ(1	γ(1	NOUN
ejpam-2465	217	4	+	+	CCONJ
ejpam-2465	217	5	β	β	NOUN
ejpam-2465	217	6	)	)	PUNCT
ejpam-2465	217	7			VERB
ejpam-2465	217	8			NOUN
ejpam-2465	217	9	1	1	NUM
ejpam-2465	217	10	1	1	NUM
ejpam-2465	217	11	+	+	NUM
ejpam-2465	217	12	βp2	βp2	PROPN
ejpam-2465	217	13	p−1	p−1	PROPN
ejpam-2465	217	14			PROPN
ejpam-2465	217	15			PUNCT
ejpam-2465	218	1	p−1	p−1	PROPN
ejpam-2465	218	2	p2	p2	PROPN
ejpam-2465	218	3	(	(	PUNCT
ejpam-2465	218	4	t	t	PROPN
ejpam-2465	218	5	βp2	βp2	PROPN
ejpam-2465	219	1	p−1	p−1	PROPN
ejpam-2465	219	2	+	+	PROPN
ejpam-2465	219	3	1	1	NUM
ejpam-2465	219	4	2	2	NUM
ejpam-2465	219	5	−	−	NOUN
ejpam-2465	219	6	t	t	NOUN
ejpam-2465	219	7	βp2	βp2	PROPN
ejpam-2465	220	1	p−1	p−1	PROPN
ejpam-2465	220	2	+	+	PROPN
ejpam-2465	220	3	1	1	NUM
ejpam-2465	220	4	1	1	NUM
ejpam-2465	220	5	)	)	PUNCT
ejpam-2465	220	6	p−1	p−1	PROPN
ejpam-2465	220	7	p2	p2	PROPN
ejpam-2465	220	8	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	220	9	(	(	PUNCT
ejpam-2465	220	10	j	j	NOUN
ejpam-2465	220	11	,	,	PUNCT
ejpam-2465	220	12	r+	r+	X
ejpam-2465	220	13	)	)	PUNCT
ejpam-2465	220	14			PROPN
ejpam-2465	220	15			NOUN
ejpam-2465	220	16			VERB
ejpam-2465	220	17			PUNCT
ejpam-2465	220	18	.	.	PUNCT
ejpam-2465	221	1	m.	m.	NOUN
ejpam-2465	221	2	abbas	abbas	PROPN
ejpam-2465	221	3	/	/	SYM
ejpam-2465	221	4	eur	eur	PROPN
ejpam-2465	221	5	.	.	PUNCT
ejpam-2465	222	1	j.	j.	PROPN
ejpam-2465	222	2	pure	pure	PROPN
ejpam-2465	222	3	appl	appl	PROPN
ejpam-2465	222	4	.	.	PROPN
ejpam-2465	222	5	math	math	PROPN
ejpam-2465	222	6	,	,	PUNCT
ejpam-2465	222	7	8	8	NUM
ejpam-2465	222	8	(	(	PUNCT
ejpam-2465	222	9	2015	2015	NUM
ejpam-2465	222	10	)	)	PUNCT
ejpam-2465	222	11	,	,	PUNCT
ejpam-2465	222	12	478	478	NUM
ejpam-2465	222	13	-	-	SYM
ejpam-2465	222	14	498	498	NUM
ejpam-2465	222	15	487	487	NUM
ejpam-2465	222	16	one	one	NOUN
ejpam-2465	222	17	can	can	AUX
ejpam-2465	222	18	deduce	deduce	VERB
ejpam-2465	222	19	that	that	DET
ejpam-2465	222	20	limt1→t2	limt1→t2	PROPN
ejpam-2465	222	21	i1	i1	NOUN
ejpam-2465	222	22	=	=	PUNCT
ejpam-2465	223	1	0	0	X
ejpam-2465	223	2	.	.	PUNCT
ejpam-2465	224	1	also	also	ADV
ejpam-2465	224	2	,	,	PUNCT
ejpam-2465	224	3	note	note	VERB
ejpam-2465	224	4	that	that	SCONJ
ejpam-2465	224	5	i2	i2	PROPN
ejpam-2465	224	6	≤	≤	PUNCT
ejpam-2465	224	7	αmk	αmk	PROPN
ejpam-2465	224	8	γ(α+	γ(α+	DET
ejpam-2465	224	9	1	1	NUM
ejpam-2465	224	10	)	)	PUNCT
ejpam-2465	224	11	∫	∫	PROPN
ejpam-2465	224	12	t1	t1	NOUN
ejpam-2465	224	13	0	0	PUNCT
ejpam-2465	225	1	[	[	X
ejpam-2465	225	2	(	(	PUNCT
ejpam-2465	225	3	t2	t2	PROPN
ejpam-2465	225	4	−	−	PROPN
ejpam-2465	225	5	s)α−1	s)α−1	NOUN
ejpam-2465	225	6	−	−	PROPN
ejpam-2465	225	7	(	(	PUNCT
ejpam-2465	225	8	t1	t1	NOUN
ejpam-2465	225	9	−	−	PROPN
ejpam-2465	225	10	s)α−1]µ(s)(1	s)α−1]µ(s)(1	PROPN
ejpam-2465	225	11	+	+	PROPN
ejpam-2465	225	12	1	1	NUM
ejpam-2465	225	13	γ(β	γ(β	PROPN
ejpam-2465	225	14	+	+	CCONJ
ejpam-2465	225	15	1	1	X
ejpam-2465	225	16	)	)	PUNCT
ejpam-2465	225	17	sβ	sβ	NOUN
ejpam-2465	225	18	)	)	PUNCT
ejpam-2465	225	19	ds	ds	PROPN
ejpam-2465	225	20	≤	≤	NUM
ejpam-2465	225	21	αmk	αmk	PROPN
ejpam-2465	225	22	γ(α+	γ(α+	DET
ejpam-2465	225	23	1	1	NUM
ejpam-2465	225	24	)	)	PUNCT
ejpam-2465	225	25			PROPN
ejpam-2465	225	26			NOUN
ejpam-2465	225	27	�	�	PROPN
ejpam-2465	225	28	∫	∫	PROPN
ejpam-2465	225	29	t1	t1	NOUN
ejpam-2465	225	30	0	0	PUNCT
ejpam-2465	226	1	[	[	X
ejpam-2465	226	2	(	(	PUNCT
ejpam-2465	226	3	t2	t2	PROPN
ejpam-2465	226	4	−	−	PROPN
ejpam-2465	226	5	s)α−1	s)α−1	NOUN
ejpam-2465	226	6	−	−	PROPN
ejpam-2465	226	7	(	(	PUNCT
ejpam-2465	226	8	t1	t1	NOUN
ejpam-2465	226	9	−	−	PROPN
ejpam-2465	226	10	s)α−1]pds	s)α−1]pds	NOUN
ejpam-2465	226	11	�	�	PROPN
ejpam-2465	226	12	1	1	NUM
ejpam-2465	226	13	p	p	PROPN
ejpam-2465	226	14	�	�	PROPN
ejpam-2465	226	15	∫	∫	PROPN
ejpam-2465	226	16	t1	t1	NOUN
ejpam-2465	226	17	0	0	NUM
ejpam-2465	226	18	(	(	PUNCT
ejpam-2465	226	19	µ(s	µ(	NOUN
ejpam-2465	226	20	)	)	PUNCT
ejpam-2465	226	21	)	)	PUNCT
ejpam-2465	227	1	p	p	NOUN
ejpam-2465	227	2	p−1	p−1	PROPN
ejpam-2465	227	3	ds	ds	PRON
ejpam-2465	227	4	�	�	PROPN
ejpam-2465	227	5	p−1	p−1	PROPN
ejpam-2465	227	6	p	p	PROPN
ejpam-2465	227	7	+	+	PROPN
ejpam-2465	227	8	1	1	NUM
ejpam-2465	227	9	γ(β	γ(β	PROPN
ejpam-2465	227	10	+	+	CCONJ
ejpam-2465	227	11	1	1	X
ejpam-2465	227	12	)	)	PUNCT
ejpam-2465	227	13	�	�	PROPN
ejpam-2465	227	14	∫	∫	PROPN
ejpam-2465	227	15	t1	t1	NOUN
ejpam-2465	227	16	0	0	PUNCT
ejpam-2465	228	1	[	[	X
ejpam-2465	228	2	(	(	PUNCT
ejpam-2465	228	3	t2	t2	PROPN
ejpam-2465	228	4	−	−	PROPN
ejpam-2465	228	5	s)α−1	s)α−1	NOUN
ejpam-2465	228	6	−	−	PROPN
ejpam-2465	228	7	(	(	PUNCT
ejpam-2465	228	8	t1	t1	NOUN
ejpam-2465	228	9	−	−	PROPN
ejpam-2465	228	10	s)α−1]pds	s)α−1]pds	NOUN
ejpam-2465	228	11	�	�	PROPN
ejpam-2465	228	12	1	1	NUM
ejpam-2465	228	13	p	p	PROPN
ejpam-2465	228	14	�	�	PROPN
ejpam-2465	228	15	∫	∫	PROPN
ejpam-2465	228	16	t1	t1	NOUN
ejpam-2465	228	17	0	0	NUM
ejpam-2465	229	1	(	(	PUNCT
ejpam-2465	229	2	sβµ(s	sβµ(s	PROPN
ejpam-2465	229	3	)	)	PUNCT
ejpam-2465	229	4	)	)	PUNCT
ejpam-2465	230	1	p	p	X
ejpam-2465	230	2	p−1	p−1	PROPN
ejpam-2465	230	3	ds	ds	PRON
ejpam-2465	230	4	�	�	PROPN
ejpam-2465	230	5	p−1	p−1	PROPN
ejpam-2465	230	6	p	p	PROPN
ejpam-2465	230	7			PROPN
ejpam-2465	230	8			PUNCT
ejpam-2465	231	1	≤	≤	ADJ
ejpam-2465	231	2	αmk	αmk	PROPN
ejpam-2465	231	3	γ(α+	γ(α+	DET
ejpam-2465	231	4	1	1	NUM
ejpam-2465	231	5	)	)	PUNCT
ejpam-2465	231	6			PROPN
ejpam-2465	231	7			NOUN
ejpam-2465	231	8	�	�	PROPN
ejpam-2465	231	9	∫	∫	PROPN
ejpam-2465	231	10	t1	t1	NOUN
ejpam-2465	231	11	0	0	PUNCT
ejpam-2465	232	1	[	[	X
ejpam-2465	232	2	(	(	PUNCT
ejpam-2465	232	3	t2	t2	PROPN
ejpam-2465	232	4	−	−	PROPN
ejpam-2465	232	5	s)α−1	s)α−1	NOUN
ejpam-2465	232	6	−	−	PROPN
ejpam-2465	232	7	(	(	PUNCT
ejpam-2465	232	8	t1	t1	NOUN
ejpam-2465	232	9	−	−	PROPN
ejpam-2465	232	10	s)α−1]pds	s)α−1]pds	NOUN
ejpam-2465	232	11	�	�	PROPN
ejpam-2465	232	12	1	1	NUM
ejpam-2465	232	13	p	p	NOUN
ejpam-2465	232	14	‖µ‖	‖µ‖	PROPN
ejpam-2465	232	15	l	l	NOUN
ejpam-2465	232	16	p	p	PROPN
ejpam-2465	232	17	p−1	p−1	PROPN
ejpam-2465	232	18	(	(	PUNCT
ejpam-2465	232	19	j	j	PROPN
ejpam-2465	232	20	,	,	PUNCT
ejpam-2465	232	21	r+	r+	X
ejpam-2465	232	22	)	)	PUNCT
ejpam-2465	233	1	+	+	CCONJ
ejpam-2465	233	2	1	1	NUM
ejpam-2465	233	3	γ(β	γ(β	PROPN
ejpam-2465	233	4	+	+	CCONJ
ejpam-2465	233	5	1	1	X
ejpam-2465	233	6	)	)	PUNCT
ejpam-2465	233	7	�	�	PROPN
ejpam-2465	233	8	∫	∫	PROPN
ejpam-2465	233	9	t1	t1	NOUN
ejpam-2465	233	10	0	0	PUNCT
ejpam-2465	234	1	[	[	X
ejpam-2465	234	2	(	(	PUNCT
ejpam-2465	234	3	t2	t2	PROPN
ejpam-2465	234	4	−	−	PROPN
ejpam-2465	234	5	s)α−1	s)α−1	NOUN
ejpam-2465	234	6	−	−	PROPN
ejpam-2465	234	7	(	(	PUNCT
ejpam-2465	234	8	t1	t1	NOUN
ejpam-2465	234	9	−	−	PROPN
ejpam-2465	234	10	s)α−1]pds	s)α−1]pds	NOUN
ejpam-2465	234	11	�	�	PROPN
ejpam-2465	234	12	1	1	NUM
ejpam-2465	234	13	p	p	PROPN
ejpam-2465	234	14	�	�	PROPN
ejpam-2465	234	15	∫	∫	PROPN
ejpam-2465	234	16	t1	t1	NOUN
ejpam-2465	234	17	0	0	NUM
ejpam-2465	234	18	s	s	PART
ejpam-2465	234	19	βp2	βp2	NOUN
ejpam-2465	234	20	(	(	PUNCT
ejpam-2465	234	21	p−1)2	p−1)2	NOUN
ejpam-2465	234	22	ds	ds	X
ejpam-2465	234	23	�	�	PROPN
ejpam-2465	234	24	(	(	PUNCT
ejpam-2465	234	25	p−1)2	p−1)2	NOUN
ejpam-2465	234	26	p2	p2	PROPN
ejpam-2465	234	27	×	×	PROPN
ejpam-2465	234	28	�	�	PROPN
ejpam-2465	234	29	∫	∫	PROPN
ejpam-2465	234	30	t1	t1	NOUN
ejpam-2465	234	31	0	0	NUM
ejpam-2465	234	32	(	(	PUNCT
ejpam-2465	234	33	µ(s	µ(	NOUN
ejpam-2465	234	34	)	)	PUNCT
ejpam-2465	234	35	)	)	PUNCT
ejpam-2465	234	36	p2	p2	PROPN
ejpam-2465	234	37	p−1	p−1	PROPN
ejpam-2465	234	38	ds	ds	PRON
ejpam-2465	234	39	�	�	PROPN
ejpam-2465	234	40	p−1	p−1	PROPN
ejpam-2465	234	41	p2	p2	PROPN
ejpam-2465	234	42			PROPN
ejpam-2465	234	43			PUNCT
ejpam-2465	235	1	≤	≤	ADJ
ejpam-2465	235	2	αmk	αmk	PROPN
ejpam-2465	235	3	γ(α+	γ(α+	DET
ejpam-2465	235	4	1	1	NUM
ejpam-2465	235	5	)	)	PUNCT
ejpam-2465	235	6			NOUN
ejpam-2465	235	7			NOUN
ejpam-2465	235	8			NOUN
ejpam-2465	235	9			NOUN
ejpam-2465	235	10	‖µ‖	‖µ‖	PROPN
ejpam-2465	235	11	l	l	NOUN
ejpam-2465	236	1	p	p	X
ejpam-2465	236	2	p−1	p−1	PROPN
ejpam-2465	236	3	(	(	PUNCT
ejpam-2465	236	4	j	j	PROPN
ejpam-2465	236	5	,	,	PUNCT
ejpam-2465	236	6	r+	r+	X
ejpam-2465	236	7	)	)	PUNCT
ejpam-2465	237	1	+	+	CCONJ
ejpam-2465	237	2	b	b	X
ejpam-2465	237	3	β+	β+	PUNCT
ejpam-2465	237	4	(	(	PUNCT
ejpam-2465	237	5	p−1)2	p−1)2	NOUN
ejpam-2465	237	6	p2	p2	PROPN
ejpam-2465	237	7	γ(β	γ(β	PROPN
ejpam-2465	238	1	+	+	CCONJ
ejpam-2465	238	2	1	1	X
ejpam-2465	238	3	)	)	PUNCT
ejpam-2465	238	4			NOUN
ejpam-2465	238	5			NOUN
ejpam-2465	238	6	1	1	NUM
ejpam-2465	238	7	1	1	NUM
ejpam-2465	238	8	+	+	NUM
ejpam-2465	238	9	βp2	βp2	NOUN
ejpam-2465	238	10	(	(	PUNCT
ejpam-2465	238	11	p−1)2	p−1)2	NOUN
ejpam-2465	238	12			NOUN
ejpam-2465	238	13			PUNCT
ejpam-2465	239	1	(	(	PUNCT
ejpam-2465	239	2	p−1)2	p−1)2	NOUN
ejpam-2465	239	3	p2	p2	NOUN
ejpam-2465	239	4	‖µ‖	‖µ‖	PROPN
ejpam-2465	239	5	l	l	NOUN
ejpam-2465	239	6	p2	p2	PROPN
ejpam-2465	239	7	p−1	p−1	PROPN
ejpam-2465	239	8	(	(	PUNCT
ejpam-2465	239	9	j	j	PROPN
ejpam-2465	239	10	,	,	PUNCT
ejpam-2465	239	11	r+	r+	X
ejpam-2465	239	12	)	)	PUNCT
ejpam-2465	239	13			PROPN
ejpam-2465	239	14			NOUN
ejpam-2465	239	15			VERB
ejpam-2465	239	16			PUNCT
ejpam-2465	240	1	×	×	PROPN
ejpam-2465	240	2	�	�	PROPN
ejpam-2465	240	3	∫	∫	PROPN
ejpam-2465	240	4	b	b	PROPN
ejpam-2465	240	5	0	0	PUNCT
ejpam-2465	241	1	[	[	X
ejpam-2465	241	2	(	(	PUNCT
ejpam-2465	241	3	t2	t2	PROPN
ejpam-2465	241	4	−	−	PROPN
ejpam-2465	241	5	s)α−1	s)α−1	NOUN
ejpam-2465	241	6	−	−	PROPN
ejpam-2465	241	7	(	(	PUNCT
ejpam-2465	241	8	t1	t1	NOUN
ejpam-2465	241	9	−	−	PROPN
ejpam-2465	241	10	s)α−1]pds	s)α−1]pds	NOUN
ejpam-2465	241	11	�	�	PROPN
ejpam-2465	241	12	1	1	NUM
ejpam-2465	241	13	p	p	NOUN
ejpam-2465	241	14	.	.	PUNCT
ejpam-2465	242	1	using	use	VERB
ejpam-2465	242	2	lagrange	lagrange	NOUN
ejpam-2465	242	3	mean	mean	NOUN
ejpam-2465	242	4	value	value	NOUN
ejpam-2465	242	5	theorem	theorem	VERB
ejpam-2465	242	6	,	,	PUNCT
ejpam-2465	242	7	one	one	PRON
ejpam-2465	242	8	can	can	AUX
ejpam-2465	242	9	obtain	obtain	VERB
ejpam-2465	242	10	(	(	PUNCT
ejpam-2465	242	11	t2	t2	NOUN
ejpam-2465	242	12	−	−	PROPN
ejpam-2465	242	13	s)α−1	s)α−1	NOUN
ejpam-2465	242	14	−	−	PROPN
ejpam-2465	243	1	(	(	PUNCT
ejpam-2465	243	2	t1	t1	NOUN
ejpam-2465	243	3	−	−	PROPN
ejpam-2465	243	4	s)α−1→	s)α−1→	PROPN
ejpam-2465	243	5	0	0	PUNCT
ejpam-2465	243	6	as	as	ADP
ejpam-2465	243	7	t1→	t1→	PROPN
ejpam-2465	243	8	t2	t2	NOUN
ejpam-2465	243	9	,	,	PUNCT
ejpam-2465	243	10	for	for	ADP
ejpam-2465	243	11	s	s	PROPN
ejpam-2465	243	12	∈	∈	PROPN
ejpam-2465	243	13	j	j	PROPN
ejpam-2465	243	14	.	.	PUNCT
ejpam-2465	244	1	by	by	ADP
ejpam-2465	244	2	lemma	lemma	PROPN
ejpam-2465	244	3	2	2	NUM
ejpam-2465	244	4	,	,	PUNCT
ejpam-2465	244	5	we	we	PRON
ejpam-2465	244	6	can	can	AUX
ejpam-2465	244	7	deduce	deduce	VERB
ejpam-2465	244	8	that	that	DET
ejpam-2465	244	9	∫	∫	PROPN
ejpam-2465	244	10	b	b	SYM
ejpam-2465	244	11	0	0	PUNCT
ejpam-2465	245	1	[	[	X
ejpam-2465	245	2	(	(	PUNCT
ejpam-2465	245	3	t2	t2	PROPN
ejpam-2465	245	4	−	−	PROPN
ejpam-2465	245	5	s)α−1	s)α−1	NOUN
ejpam-2465	245	6	−	−	PROPN
ejpam-2465	245	7	(	(	PUNCT
ejpam-2465	245	8	t1	t1	NOUN
ejpam-2465	245	9	−	−	PROPN
ejpam-2465	245	10	s)α−1]pds→	s)α−1]pds→	NOUN
ejpam-2465	245	11	0	0	PUNCT
ejpam-2465	245	12	as	as	ADP
ejpam-2465	245	13	t1	t1	NOUN
ejpam-2465	245	14	→	→	SYM
ejpam-2465	245	15	t2	t2	NOUN
ejpam-2465	245	16	.	.	PUNCT
ejpam-2465	246	1	thus	thus	ADV
ejpam-2465	246	2	we	we	PRON
ejpam-2465	246	3	deduce	deduce	VERB
ejpam-2465	246	4	that	that	SCONJ
ejpam-2465	246	5	limt1→t2	limt1→t2	PROPN
ejpam-2465	246	6	i2	i2	NOUN
ejpam-2465	246	7	=	=	SYM
ejpam-2465	246	8	0	0	NUM
ejpam-2465	246	9	.	.	PUNCT
ejpam-2465	247	1	for	for	ADP
ejpam-2465	247	2	t1	t1	NOUN
ejpam-2465	247	3	=	=	SYM
ejpam-2465	247	4	0	0	NUM
ejpam-2465	247	5	,	,	PUNCT
ejpam-2465	247	6	0	0	NUM
ejpam-2465	247	7	<	<	X
ejpam-2465	247	8	t2	t2	PROPN
ejpam-2465	247	9	≤	≤	PROPN
ejpam-2465	247	10	b	b	NOUN
ejpam-2465	247	11	,	,	PUNCT
ejpam-2465	247	12	it	it	PRON
ejpam-2465	247	13	is	be	AUX
ejpam-2465	247	14	easy	easy	ADJ
ejpam-2465	247	15	to	to	PART
ejpam-2465	247	16	see	see	VERB
ejpam-2465	247	17	that	that	DET
ejpam-2465	247	18	i3	i3	NOUN
ejpam-2465	247	19	=	=	NOUN
ejpam-2465	247	20	0	0	X
ejpam-2465	247	21	.	.	PUNCT
ejpam-2465	248	1	for	for	ADP
ejpam-2465	248	2	t1	t1	PROPN
ejpam-2465	248	3	>	>	X
ejpam-2465	248	4	0	0	PUNCT
ejpam-2465	248	5	and	and	CCONJ
ejpam-2465	248	6	ǫ	ǫ	PRON
ejpam-2465	248	7	>	>	X
ejpam-2465	248	8	0	0	PUNCT
ejpam-2465	248	9	be	be	AUX
ejpam-2465	248	10	enough	enough	ADJ
ejpam-2465	248	11	small	small	ADJ
ejpam-2465	248	12	,	,	PUNCT
ejpam-2465	248	13	we	we	PRON
ejpam-2465	248	14	have	have	VERB
ejpam-2465	248	15	i3	i3	NOUN
ejpam-2465	249	1	≤α	≤α	NOUN
ejpam-2465	249	2	∫	∫	PROPN
ejpam-2465	250	1	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	250	2	0	0	NUM
ejpam-2465	250	3	∫	∫	PROPN
ejpam-2465	250	4	∞	∞	NUM
ejpam-2465	251	1	0	0	NUM
ejpam-2465	251	2	θ	θ	PROPN
ejpam-2465	251	3	(	(	PUNCT
ejpam-2465	251	4	t1	t1	NOUN
ejpam-2465	251	5	−	−	NOUN
ejpam-2465	251	6	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	251	7	)	)	PUNCT
ejpam-2465	251	8	‖q((t2	‖q((t2	NOUN
ejpam-2465	251	9	−	−	PROPN
ejpam-2465	251	10	s)αθ	s)αθ	NOUN
ejpam-2465	251	11	)	)	PUNCT
ejpam-2465	251	12	−q((t1	−q((t1	PART
ejpam-2465	251	13	−	−	PUNCT
ejpam-2465	252	1	s)αθ	s)αθ	PROPN
ejpam-2465	252	2	)	)	PUNCT
ejpam-2465	252	3	‖b(e)|	‖b(e)|	PROPN
ejpam-2465	252	4	f	f	PROPN
ejpam-2465	252	5	(	(	PUNCT
ejpam-2465	252	6	s	s	PROPN
ejpam-2465	252	7	,	,	PUNCT
ejpam-2465	252	8	x(s	x(s	PROPN
ejpam-2465	252	9	)	)	PUNCT
ejpam-2465	252	10	,	,	PUNCT
ejpam-2465	252	11	iβ	iβ	ADP
ejpam-2465	252	12	x(s))|dθds	x(s))|dθds	PROPN
ejpam-2465	252	13	+	+	PROPN
ejpam-2465	252	14	α	α	PROPN
ejpam-2465	252	15	∫	∫	PROPN
ejpam-2465	252	16	t1	t1	NOUN
ejpam-2465	252	17	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	252	18	∫	∫	PROPN
ejpam-2465	252	19	∞	∞	NUM
ejpam-2465	252	20	0	0	NUM
ejpam-2465	252	21	θ	θ	PROPN
ejpam-2465	252	22	(	(	PUNCT
ejpam-2465	252	23	t1	t1	NOUN
ejpam-2465	252	24	−	−	NOUN
ejpam-2465	252	25	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	252	26	)	)	PUNCT
ejpam-2465	252	27	‖q((t2	‖q((t2	NOUN
ejpam-2465	252	28	−	−	PROPN
ejpam-2465	253	1	s)αθ	s)αθ	NOUN
ejpam-2465	253	2	)	)	PUNCT
ejpam-2465	253	3	−q((t1	−q((t1	PART
ejpam-2465	253	4	−	−	PUNCT
ejpam-2465	254	1	s)αθ	s)αθ	PROPN
ejpam-2465	254	2	)	)	PUNCT
ejpam-2465	254	3	‖b(e)|	‖b(e)|	PROPN
ejpam-2465	254	4	f	f	PROPN
ejpam-2465	254	5	(	(	PUNCT
ejpam-2465	254	6	s	s	PROPN
ejpam-2465	254	7	,	,	PUNCT
ejpam-2465	254	8	x(s	x(s	PROPN
ejpam-2465	254	9	)	)	PUNCT
ejpam-2465	254	10	,	,	PUNCT
ejpam-2465	254	11	iβ	iβ	ADP
ejpam-2465	254	12	x(s))|dθds	x(s))|dθds	PROPN
ejpam-2465	254	13	≤	≤	PROPN
ejpam-2465	254	14	αk	αk	CCONJ
ejpam-2465	254	15	γ(α+	γ(α+	PRON
ejpam-2465	254	16	1	1	NUM
ejpam-2465	254	17	)	)	PUNCT
ejpam-2465	254	18	∫	∫	NOUN
ejpam-2465	255	1	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	255	2	0	0	NUM
ejpam-2465	255	3	(	(	PUNCT
ejpam-2465	255	4	t1	t1	NOUN
ejpam-2465	255	5	−	−	PROPN
ejpam-2465	255	6	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	255	7	+	+	SYM
ejpam-2465	255	8	sβ	sβ	VERB
ejpam-2465	255	9	γ(β	γ(β	PROPN
ejpam-2465	255	10	+	+	CCONJ
ejpam-2465	255	11	1	1	NUM
ejpam-2465	255	12	)	)	PUNCT
ejpam-2465	255	13	)	)	PUNCT
ejpam-2465	255	14	sup	sup	NOUN
ejpam-2465	255	15	s∈[0,t1−ǫ	s∈[0,t1−ǫ	PROPN
ejpam-2465	255	16	]	]	X
ejpam-2465	255	17	‖q((t2	‖q((t2	NOUN
ejpam-2465	255	18	−	−	PROPN
ejpam-2465	255	19	s)αθ	s)αθ	NOUN
ejpam-2465	255	20	)	)	PUNCT
ejpam-2465	255	21	−q((t1	−q((t1	PART
ejpam-2465	255	22	−	−	PUNCT
ejpam-2465	256	1	s)αθ	s)αθ	PROPN
ejpam-2465	256	2	)	)	PUNCT
ejpam-2465	256	3	‖b(e)ds	‖b(e)ds	PROPN
ejpam-2465	256	4	m.	m.	NOUN
ejpam-2465	256	5	abbas	abbas	PROPN
ejpam-2465	256	6	/	/	SYM
ejpam-2465	256	7	eur	eur	PROPN
ejpam-2465	256	8	.	.	PUNCT
ejpam-2465	257	1	j.	j.	PROPN
ejpam-2465	257	2	pure	pure	PROPN
ejpam-2465	257	3	appl	appl	PROPN
ejpam-2465	257	4	.	.	PROPN
ejpam-2465	257	5	math	math	PROPN
ejpam-2465	257	6	,	,	PUNCT
ejpam-2465	257	7	8	8	NUM
ejpam-2465	257	8	(	(	PUNCT
ejpam-2465	257	9	2015	2015	NUM
ejpam-2465	257	10	)	)	PUNCT
ejpam-2465	257	11	,	,	PUNCT
ejpam-2465	257	12	478	478	NUM
ejpam-2465	257	13	-	-	SYM
ejpam-2465	257	14	498	498	NUM
ejpam-2465	257	15	488	488	NUM
ejpam-2465	257	16	+	+	CCONJ
ejpam-2465	258	1	2αmk	2αmk	NUM
ejpam-2465	258	2	γ(α+	γ(α+	DET
ejpam-2465	258	3	1	1	NUM
ejpam-2465	258	4	)	)	PUNCT
ejpam-2465	258	5	∫	∫	PROPN
ejpam-2465	258	6	t1	t1	PROPN
ejpam-2465	258	7	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	258	8	(	(	PUNCT
ejpam-2465	258	9	t1	t1	NOUN
ejpam-2465	258	10	−	−	PROPN
ejpam-2465	258	11	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	259	1	+	+	SYM
ejpam-2465	259	2	sβ	sβ	VERB
ejpam-2465	259	3	γ(β	γ(β	PROPN
ejpam-2465	259	4	+	+	CCONJ
ejpam-2465	259	5	1	1	NUM
ejpam-2465	259	6	)	)	PUNCT
ejpam-2465	259	7	)	)	PUNCT
ejpam-2465	259	8	ds	ds	ADJ
ejpam-2465	259	9	≤	≤	NUM
ejpam-2465	259	10	αk	αk	CCONJ
ejpam-2465	259	11	γ(α+	γ(α+	DET
ejpam-2465	259	12	1	1	NUM
ejpam-2465	259	13	)	)	PUNCT
ejpam-2465	259	14			PROPN
ejpam-2465	259	15			NOUN
ejpam-2465	259	16	�	�	PROPN
ejpam-2465	259	17	∫	∫	PROPN
ejpam-2465	259	18	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	259	19	0	0	NUM
ejpam-2465	260	1	(	(	PUNCT
ejpam-2465	260	2	t1	t1	NOUN
ejpam-2465	260	3	−	−	PROPN
ejpam-2465	260	4	s	s	NOUN
ejpam-2465	260	5	)	)	PUNCT
ejpam-2465	260	6	(	(	PUNCT
ejpam-2465	260	7	α−1)p	α−1)p	NUM
ejpam-2465	260	8	p−1	p−1	PROPN
ejpam-2465	260	9	ds	ds	PROPN
ejpam-2465	260	10	�	�	PROPN
ejpam-2465	260	11	p−1	p−1	PROPN
ejpam-2465	261	1	p	p	PROPN
ejpam-2465	261	2	�	�	PROPN
ejpam-2465	261	3	∫	∫	PROPN
ejpam-2465	262	1	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	262	2	0	0	NUM
ejpam-2465	262	3	(	(	PUNCT
ejpam-2465	262	4	µ(s))pds	µ(s))pds	PUNCT
ejpam-2465	262	5	�	�	PROPN
ejpam-2465	262	6	1	1	NUM
ejpam-2465	262	7	p	p	NOUN
ejpam-2465	262	8	+	+	NOUN
ejpam-2465	262	9	1	1	NUM
ejpam-2465	262	10	γ(1	γ(1	NOUN
ejpam-2465	262	11	+	+	CCONJ
ejpam-2465	262	12	β	β	X
ejpam-2465	262	13	)	)	PUNCT
ejpam-2465	262	14	�	�	PROPN
ejpam-2465	262	15	∫	∫	PROPN
ejpam-2465	262	16	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	262	17	0	0	NUM
ejpam-2465	263	1	(	(	PUNCT
ejpam-2465	263	2	t1	t1	NOUN
ejpam-2465	263	3	−	−	PROPN
ejpam-2465	263	4	s	s	NOUN
ejpam-2465	263	5	)	)	PUNCT
ejpam-2465	263	6	(	(	PUNCT
ejpam-2465	263	7	α−1)p	α−1)p	NUM
ejpam-2465	263	8	p−1	p−1	PROPN
ejpam-2465	263	9	ds	ds	PROPN
ejpam-2465	263	10	�	�	PROPN
ejpam-2465	263	11	p−1	p−1	PROPN
ejpam-2465	264	1	p	p	PROPN
ejpam-2465	264	2	�	�	PROPN
ejpam-2465	264	3	∫	∫	PROPN
ejpam-2465	265	1	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	265	2	0	0	PROPN
ejpam-2465	265	3	(	(	PUNCT
ejpam-2465	265	4	sβpµ(s))pds	sβpµ(s))pds	PROPN
ejpam-2465	265	5	�	�	PROPN
ejpam-2465	265	6	1	1	NUM
ejpam-2465	265	7	p	p	NOUN
ejpam-2465	265	8			PROPN
ejpam-2465	265	9			PUNCT
ejpam-2465	266	1	×	×	PROPN
ejpam-2465	266	2	sup	sup	PROPN
ejpam-2465	266	3	s∈[0,t1−ǫ	s∈[0,t1−ǫ	PROPN
ejpam-2465	266	4	]	]	PUNCT
ejpam-2465	266	5	‖q((t2	‖q((t2	NOUN
ejpam-2465	266	6	−	−	PROPN
ejpam-2465	266	7	s)αθ	s)αθ	NOUN
ejpam-2465	266	8	)	)	PUNCT
ejpam-2465	266	9	−q((t1	−q((t1	PART
ejpam-2465	266	10	−	−	PUNCT
ejpam-2465	267	1	s)αθ	s)αθ	PROPN
ejpam-2465	267	2	)	)	PUNCT
ejpam-2465	267	3	‖b(e	‖b(e	PUNCT
ejpam-2465	267	4	)	)	PUNCT
ejpam-2465	267	5	+	+	CCONJ
ejpam-2465	267	6	2αmk	2αmk	NUM
ejpam-2465	267	7	γ(α+	γ(α+	DET
ejpam-2465	267	8	1	1	NUM
ejpam-2465	267	9	)	)	PUNCT
ejpam-2465	267	10			PROPN
ejpam-2465	267	11			NOUN
ejpam-2465	267	12	�	�	PROPN
ejpam-2465	267	13	∫	∫	PROPN
ejpam-2465	267	14	t1	t1	PROPN
ejpam-2465	267	15	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	267	16	(	(	PUNCT
ejpam-2465	267	17	t1	t1	NOUN
ejpam-2465	267	18	−	−	PROPN
ejpam-2465	267	19	s	s	PART
ejpam-2465	267	20	)	)	PUNCT
ejpam-2465	267	21	(	(	PUNCT
ejpam-2465	267	22	α−1)p	α−1)p	NUM
ejpam-2465	267	23	p−1	p−1	PROPN
ejpam-2465	267	24	ds	ds	PROPN
ejpam-2465	267	25	�	�	PROPN
ejpam-2465	267	26	p−1	p−1	PROPN
ejpam-2465	267	27	p	p	PROPN
ejpam-2465	267	28	�	�	PROPN
ejpam-2465	267	29	∫	∫	PROPN
ejpam-2465	267	30	t1	t1	PROPN
ejpam-2465	267	31	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	267	32	(	(	PUNCT
ejpam-2465	267	33	µ(s))pds	µ(s))pds	PUNCT
ejpam-2465	267	34	�	�	PROPN
ejpam-2465	267	35	1	1	NUM
ejpam-2465	267	36	p	p	NOUN
ejpam-2465	267	37	+	+	NOUN
ejpam-2465	267	38	1	1	NUM
ejpam-2465	267	39	γ(1	γ(1	NOUN
ejpam-2465	267	40	+	+	NOUN
ejpam-2465	267	41	β	β	NOUN
ejpam-2465	267	42	)	)	PUNCT
ejpam-2465	267	43	×	×	PROPN
ejpam-2465	267	44	�	�	PROPN
ejpam-2465	267	45	∫	∫	PROPN
ejpam-2465	267	46	t1	t1	PROPN
ejpam-2465	267	47	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	267	48	(	(	PUNCT
ejpam-2465	267	49	t1	t1	NOUN
ejpam-2465	267	50	−	−	PROPN
ejpam-2465	267	51	s	s	PART
ejpam-2465	267	52	)	)	PUNCT
ejpam-2465	267	53	(	(	PUNCT
ejpam-2465	267	54	α−1)p	α−1)p	NUM
ejpam-2465	267	55	p−1	p−1	PROPN
ejpam-2465	267	56	ds	ds	PROPN
ejpam-2465	267	57	�	�	PROPN
ejpam-2465	267	58	p−1	p−1	PROPN
ejpam-2465	267	59	p	p	PROPN
ejpam-2465	267	60	�	�	PROPN
ejpam-2465	267	61	∫	∫	PROPN
ejpam-2465	267	62	t1	t1	PROPN
ejpam-2465	267	63	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	267	64	(	(	PUNCT
ejpam-2465	267	65	sβpµ(s))pds	sβpµ(s))pds	PROPN
ejpam-2465	267	66	�	�	PROPN
ejpam-2465	267	67	1	1	NUM
ejpam-2465	267	68	p	p	NOUN
ejpam-2465	267	69			NOUN
ejpam-2465	267	70			PUNCT
ejpam-2465	268	1	≤	≤	NOUN
ejpam-2465	268	2	αk	αk	ADP
ejpam-2465	268	3	γ(α+	γ(α+	DET
ejpam-2465	268	4	1	1	NUM
ejpam-2465	268	5	)	)	PUNCT
ejpam-2465	268	6	�	�	PROPN
ejpam-2465	268	7	p−	p−	PROPN
ejpam-2465	268	8	1	1	NUM
ejpam-2465	268	9	p+	p+	NOUN
ejpam-2465	268	10	(	(	PUNCT
ejpam-2465	268	11	α−	α−	ADP
ejpam-2465	268	12	1)p−	1)p−	NUM
ejpam-2465	268	13	1	1	NUM
ejpam-2465	268	14	�	�	PROPN
ejpam-2465	268	15	p−1	p−1	PROPN
ejpam-2465	268	16	p	p	PROPN
ejpam-2465	268	17	�	�	PROPN
ejpam-2465	268	18	t	t	PROPN
ejpam-2465	268	19	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	268	20	p−1	p−1	PROPN
ejpam-2465	268	21	1	1	NUM
ejpam-2465	268	22	−	−	PROPN
ejpam-2465	268	23	ǫ	ǫ	PRON
ejpam-2465	268	24	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	268	25	p−1	p−1	PROPN
ejpam-2465	268	26	�	�	PROPN
ejpam-2465	268	27	p−1	p−1	PROPN
ejpam-2465	268	28	p	p	PROPN
ejpam-2465	268	29	�	�	PROPN
ejpam-2465	268	30	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	268	31	,	,	PUNCT
ejpam-2465	268	32	r+	r+	PUNCT
ejpam-2465	268	33	)	)	PUNCT
ejpam-2465	269	1	+	+	CCONJ
ejpam-2465	269	2	1	1	NUM
ejpam-2465	269	3	γ(1	γ(1	NOUN
ejpam-2465	269	4	+	+	NOUN
ejpam-2465	269	5	β	β	NOUN
ejpam-2465	269	6	)	)	PUNCT
ejpam-2465	269	7	×	×	PROPN
ejpam-2465	269	8	�	�	PROPN
ejpam-2465	269	9	∫	∫	PROPN
ejpam-2465	269	10	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	269	11	0	0	NUM
ejpam-2465	269	12	s	s	PART
ejpam-2465	269	13	βp2	βp2	NOUN
ejpam-2465	269	14	p−1	p−1	PROPN
ejpam-2465	269	15	ds	ds	PRON
ejpam-2465	269	16	�	�	PROPN
ejpam-2465	269	17	p−1	p−1	PROPN
ejpam-2465	269	18	p2	p2	PROPN
ejpam-2465	269	19	�	�	PROPN
ejpam-2465	269	20	∫	∫	PROPN
ejpam-2465	269	21	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	269	22	0	0	NUM
ejpam-2465	270	1	(	(	PUNCT
ejpam-2465	270	2	µ(s))p	µ(s))p	NOUN
ejpam-2465	270	3	2	2	NUM
ejpam-2465	270	4	ds	ds	PROPN
ejpam-2465	270	5	�	�	PROPN
ejpam-2465	270	6	1	1	NUM
ejpam-2465	270	7	p2	p2	PROPN
ejpam-2465	270	8			NOUN
ejpam-2465	271	1			PUNCT
ejpam-2465	272	1	sup	sup	PROPN
ejpam-2465	272	2	s∈[0,t1−ǫ	s∈[0,t1−ǫ	PROPN
ejpam-2465	272	3	]	]	X
ejpam-2465	272	4	‖q((t2	‖q((t2	NOUN
ejpam-2465	272	5	−	−	PROPN
ejpam-2465	272	6	s)αθ	s)αθ	NOUN
ejpam-2465	272	7	)	)	PUNCT
ejpam-2465	272	8	−q((t1	−q((t1	PART
ejpam-2465	272	9	−	−	PUNCT
ejpam-2465	273	1	s)αθ	s)αθ	PROPN
ejpam-2465	273	2	)	)	PUNCT
ejpam-2465	273	3	‖b(e	‖b(e	PUNCT
ejpam-2465	273	4	)	)	PUNCT
ejpam-2465	273	5	+	+	CCONJ
ejpam-2465	273	6	2αmk	2αmk	NUM
ejpam-2465	273	7	γ(α+	γ(α+	DET
ejpam-2465	273	8	1	1	NUM
ejpam-2465	273	9	)	)	PUNCT
ejpam-2465	273	10	�	�	PROPN
ejpam-2465	273	11	p−	p−	PROPN
ejpam-2465	273	12	1	1	NUM
ejpam-2465	273	13	p+	p+	NOUN
ejpam-2465	273	14	(	(	PUNCT
ejpam-2465	273	15	α−	α−	ADP
ejpam-2465	273	16	1)p−	1)p−	NUM
ejpam-2465	273	17	1	1	NUM
ejpam-2465	273	18	�	�	PROPN
ejpam-2465	273	19	p−1	p−1	PROPN
ejpam-2465	273	20	p	p	PROPN
ejpam-2465	273	21	ǫ	ǫ	PRON
ejpam-2465	273	22	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	273	23	p	p	NOUN
ejpam-2465	273	24			PROPN
ejpam-2465	273	25	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	273	26	,	,	PUNCT
ejpam-2465	273	27	r+	r+	PUNCT
ejpam-2465	273	28	)	)	PUNCT
ejpam-2465	274	1	+	+	CCONJ
ejpam-2465	274	2	1	1	NUM
ejpam-2465	274	3	γ(1	γ(1	NOUN
ejpam-2465	274	4	+	+	CCONJ
ejpam-2465	274	5	β	β	X
ejpam-2465	274	6	)	)	PUNCT
ejpam-2465	274	7	�	�	PROPN
ejpam-2465	274	8	∫	∫	PROPN
ejpam-2465	274	9	t1	t1	NOUN
ejpam-2465	274	10	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	274	11	s	s	PART
ejpam-2465	274	12	βp2	βp2	NOUN
ejpam-2465	274	13	p−1	p−1	PROPN
ejpam-2465	274	14	ds	ds	PRON
ejpam-2465	274	15	�	�	PROPN
ejpam-2465	274	16	p−1	p−1	PROPN
ejpam-2465	274	17	p2	p2	PROPN
ejpam-2465	274	18	×	×	PROPN
ejpam-2465	274	19	�	�	PROPN
ejpam-2465	274	20	∫	∫	PROPN
ejpam-2465	274	21	t1	t1	PROPN
ejpam-2465	274	22	t1−ǫ	t1−ǫ	PROPN
ejpam-2465	274	23	(	(	PUNCT
ejpam-2465	274	24	µ(s))p	µ(s))p	NOUN
ejpam-2465	274	25	2	2	NUM
ejpam-2465	274	26	ds	ds	PROPN
ejpam-2465	274	27	�	�	PROPN
ejpam-2465	274	28	1	1	NUM
ejpam-2465	274	29	p2	p2	PROPN
ejpam-2465	274	30			NOUN
ejpam-2465	274	31			PUNCT
ejpam-2465	275	1	≤	≤	NOUN
ejpam-2465	275	2	αk	αk	CCONJ
ejpam-2465	275	3	γ(α+	γ(α+	DET
ejpam-2465	275	4	1	1	NUM
ejpam-2465	275	5	)	)	PUNCT
ejpam-2465	275	6	�	�	PROPN
ejpam-2465	275	7	p−	p−	PROPN
ejpam-2465	275	8	1	1	NUM
ejpam-2465	275	9	p+	p+	NOUN
ejpam-2465	275	10	(	(	PUNCT
ejpam-2465	275	11	α−	α−	ADP
ejpam-2465	275	12	1)p−	1)p−	NUM
ejpam-2465	275	13	1	1	NUM
ejpam-2465	275	14	�	�	PROPN
ejpam-2465	275	15	p−1	p−1	PROPN
ejpam-2465	275	16	p	p	PROPN
ejpam-2465	275	17	�	�	PROPN
ejpam-2465	275	18	t	t	PROPN
ejpam-2465	275	19	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	275	20	p−1	p−1	PROPN
ejpam-2465	275	21	1	1	NUM
ejpam-2465	275	22	−	−	PROPN
ejpam-2465	275	23	ǫ	ǫ	PRON
ejpam-2465	275	24	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	275	25	p−1	p−1	PROPN
ejpam-2465	275	26	�	�	PROPN
ejpam-2465	275	27	p−1	p−1	PROPN
ejpam-2465	275	28	p	p	PROPN
ejpam-2465	275	29	�	�	PROPN
ejpam-2465	275	30	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	275	31	,	,	PUNCT
ejpam-2465	275	32	r+	r+	PUNCT
ejpam-2465	275	33	)	)	PUNCT
ejpam-2465	275	34	+	+	CCONJ
ejpam-2465	275	35	1	1	NUM
ejpam-2465	275	36	γ(1	γ(1	NOUN
ejpam-2465	275	37	+	+	NOUN
ejpam-2465	275	38	β	β	NOUN
ejpam-2465	275	39	)	)	PUNCT
ejpam-2465	275	40	×	×	NOUN
ejpam-2465	275	41			NOUN
ejpam-2465	275	42			NOUN
ejpam-2465	275	43	1	1	NUM
ejpam-2465	275	44	1	1	NUM
ejpam-2465	275	45	+	+	NUM
ejpam-2465	275	46	βp2	βp2	PROPN
ejpam-2465	275	47	p−1	p−1	PROPN
ejpam-2465	275	48			PROPN
ejpam-2465	275	49			PUNCT
ejpam-2465	276	1	p−1	p−1	PROPN
ejpam-2465	276	2	p2	p2	PROPN
ejpam-2465	276	3	�	�	PROPN
ejpam-2465	276	4	t1	t1	NOUN
ejpam-2465	276	5	−	−	PROPN
ejpam-2465	276	6	ǫ	ǫ	PROPN
ejpam-2465	276	7	�	�	PROPN
ejpam-2465	276	8	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	276	9	p2	p2	VERB
ejpam-2465	276	10	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	276	11	(	(	PUNCT
ejpam-2465	276	12	j	j	NOUN
ejpam-2465	276	13	,	,	PUNCT
ejpam-2465	276	14	r+	r+	X
ejpam-2465	276	15	)	)	PUNCT
ejpam-2465	277	1			PROPN
ejpam-2465	277	2			NOUN
ejpam-2465	277	3			VERB
ejpam-2465	277	4			PUNCT
ejpam-2465	278	1	sup	sup	PROPN
ejpam-2465	278	2	s∈[0,t1−ǫ	s∈[0,t1−ǫ	PROPN
ejpam-2465	278	3	]	]	X
ejpam-2465	278	4	‖q((t2	‖q((t2	NOUN
ejpam-2465	278	5	−	−	PROPN
ejpam-2465	278	6	s)αθ	s)αθ	NOUN
ejpam-2465	278	7	)	)	PUNCT
ejpam-2465	278	8	−q((t1	−q((t1	PART
ejpam-2465	278	9	−	−	PUNCT
ejpam-2465	279	1	s)αθ	s)αθ	PROPN
ejpam-2465	279	2	)	)	PUNCT
ejpam-2465	279	3	‖b(e	‖b(e	PUNCT
ejpam-2465	279	4	)	)	PUNCT
ejpam-2465	279	5	+	+	CCONJ
ejpam-2465	279	6	2αmk	2αmk	NUM
ejpam-2465	279	7	γ(α+	γ(α+	DET
ejpam-2465	279	8	1	1	NUM
ejpam-2465	279	9	)	)	PUNCT
ejpam-2465	279	10	�	�	PROPN
ejpam-2465	279	11	p−	p−	PROPN
ejpam-2465	279	12	1	1	NUM
ejpam-2465	279	13	p+	p+	NOUN
ejpam-2465	279	14	(	(	PUNCT
ejpam-2465	279	15	α−	α−	ADP
ejpam-2465	279	16	1)p−	1)p−	NUM
ejpam-2465	279	17	1	1	NUM
ejpam-2465	279	18	�	�	PROPN
ejpam-2465	279	19	p−1	p−1	PROPN
ejpam-2465	279	20	p	p	PROPN
ejpam-2465	279	21	ǫ	ǫ	PRON
ejpam-2465	279	22	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	279	23	p	p	NOUN
ejpam-2465	279	24	m.	m.	NOUN
ejpam-2465	279	25	abbas	abbas	PROPN
ejpam-2465	279	26	/	/	SYM
ejpam-2465	279	27	eur	eur	PROPN
ejpam-2465	279	28	.	.	PUNCT
ejpam-2465	280	1	j.	j.	PROPN
ejpam-2465	280	2	pure	pure	PROPN
ejpam-2465	280	3	appl	appl	PROPN
ejpam-2465	280	4	.	.	PROPN
ejpam-2465	280	5	math	math	PROPN
ejpam-2465	280	6	,	,	PUNCT
ejpam-2465	280	7	8	8	NUM
ejpam-2465	280	8	(	(	PUNCT
ejpam-2465	280	9	2015	2015	NUM
ejpam-2465	280	10	)	)	PUNCT
ejpam-2465	280	11	,	,	PUNCT
ejpam-2465	280	12	478	478	NUM
ejpam-2465	280	13	-	-	SYM
ejpam-2465	280	14	498	498	NUM
ejpam-2465	280	15	489	489	NUM
ejpam-2465	280	16	×	×	PROPN
ejpam-2465	280	17			NOUN
ejpam-2465	280	18			NOUN
ejpam-2465	280	19			NOUN
ejpam-2465	280	20			NOUN
ejpam-2465	280	21	‖µ‖lp(j	‖µ‖lp(j	NOUN
ejpam-2465	280	22	,	,	PUNCT
ejpam-2465	280	23	r+	r+	PUNCT
ejpam-2465	280	24	)	)	PUNCT
ejpam-2465	281	1	+	+	CCONJ
ejpam-2465	281	2	1	1	NUM
ejpam-2465	281	3	γ(1	γ(1	NOUN
ejpam-2465	281	4	+	+	CCONJ
ejpam-2465	281	5	β	β	NOUN
ejpam-2465	281	6	)	)	PUNCT
ejpam-2465	281	7			VERB
ejpam-2465	281	8			NOUN
ejpam-2465	281	9	1	1	NUM
ejpam-2465	281	10	1	1	NUM
ejpam-2465	281	11	+	+	NUM
ejpam-2465	281	12	βp2	βp2	PROPN
ejpam-2465	281	13	p−1	p−1	PROPN
ejpam-2465	281	14			PROPN
ejpam-2465	281	15			PUNCT
ejpam-2465	282	1	p−1	p−1	NOUN
ejpam-2465	282	2	p2	p2	PROPN
ejpam-2465	282	3	ǫ	ǫ	PROPN
ejpam-2465	282	4	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	282	5	p2	p2	X
ejpam-2465	282	6	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	282	7	(	(	PUNCT
ejpam-2465	282	8	j	j	NOUN
ejpam-2465	282	9	,	,	PUNCT
ejpam-2465	282	10	r+	r+	X
ejpam-2465	282	11	)	)	PUNCT
ejpam-2465	282	12			PROPN
ejpam-2465	282	13			NOUN
ejpam-2465	282	14			NOUN
ejpam-2465	282	15			PUNCT
ejpam-2465	283	1	since	since	SCONJ
ejpam-2465	283	2	(	(	PUNCT
ejpam-2465	283	3	h1	h1	PROPN
ejpam-2465	283	4	)	)	PUNCT
ejpam-2465	283	5	implies	imply	VERB
ejpam-2465	283	6	the	the	DET
ejpam-2465	283	7	continuity	continuity	NOUN
ejpam-2465	283	8	of	of	ADP
ejpam-2465	283	9	{	{	PUNCT
ejpam-2465	283	10	q(t)}t≥0	q(t)}t≥0	PROPN
ejpam-2465	283	11	in	in	ADP
ejpam-2465	283	12	t	t	PROPN
ejpam-2465	283	13	in	in	ADP
ejpam-2465	283	14	the	the	DET
ejpam-2465	283	15	uniform	uniform	ADJ
ejpam-2465	283	16	operator	operator	NOUN
ejpam-2465	283	17	topology	topology	NOUN
ejpam-2465	283	18	,	,	PUNCT
ejpam-2465	283	19	it	it	PRON
ejpam-2465	283	20	is	be	AUX
ejpam-2465	283	21	easy	easy	ADJ
ejpam-2465	283	22	to	to	PART
ejpam-2465	283	23	see	see	VERB
ejpam-2465	283	24	that	that	SCONJ
ejpam-2465	283	25	i3	i3	NOUN
ejpam-2465	283	26	tends	tend	VERB
ejpam-2465	283	27	to	to	ADP
ejpam-2465	283	28	zero	zero	NUM
ejpam-2465	283	29	independently	independently	ADV
ejpam-2465	283	30	of	of	ADP
ejpam-2465	283	31	x	x	SYM
ejpam-2465	283	32	∈	∈	NOUN
ejpam-2465	283	33	bk	bk	NOUN
ejpam-2465	283	34	as	as	ADP
ejpam-2465	283	35	t2	t2	PROPN
ejpam-2465	283	36	−	−	PROPN
ejpam-2465	283	37	t1	t1	PROPN
ejpam-2465	283	38	→	→	SYM
ejpam-2465	283	39	0	0	NUM
ejpam-2465	283	40	,	,	PUNCT
ejpam-2465	283	41	ǫ	ǫ	NOUN
ejpam-2465	283	42	→	→	SYM
ejpam-2465	283	43	0	0	NUM
ejpam-2465	283	44	.	.	PUNCT
ejpam-2465	284	1	thus	thus	ADV
ejpam-2465	284	2	(	(	PUNCT
ejpam-2465	284	3	f	f	PROPN
ejpam-2465	284	4	x)(t2)−	x)(t2)−	PROPN
ejpam-2465	284	5	(	(	PUNCT
ejpam-2465	284	6	f	f	PROPN
ejpam-2465	284	7	x)(t1	x)(t1	PROPN
ejpam-2465	284	8	)	)	PUNCT
ejpam-2465	284	9	tends	tend	VERB
ejpam-2465	284	10	to	to	ADP
ejpam-2465	284	11	zero	zero	NUM
ejpam-2465	284	12	independently	independently	ADV
ejpam-2465	284	13	of	of	ADP
ejpam-2465	284	14	x	x	SYM
ejpam-2465	284	15	∈	∈	NOUN
ejpam-2465	284	16	bk	bk	NOUN
ejpam-2465	284	17	as	as	ADP
ejpam-2465	284	18	t2	t2	PROPN
ejpam-2465	284	19	−	−	PROPN
ejpam-2465	284	20	t1	t1	PROPN
ejpam-2465	284	21	→	→	SYM
ejpam-2465	284	22	0	0	NUM
ejpam-2465	284	23	,	,	PUNCT
ejpam-2465	284	24	which	which	PRON
ejpam-2465	284	25	means	mean	VERB
ejpam-2465	284	26	that	that	SCONJ
ejpam-2465	284	27	{	{	PUNCT
ejpam-2465	284	28	f	f	NOUN
ejpam-2465	284	29	x	x	X
ejpam-2465	284	30	,	,	PUNCT
ejpam-2465	284	31	x	x	SYM
ejpam-2465	284	32	∈	∈	PROPN
ejpam-2465	284	33	bk	bk	PRON
ejpam-2465	284	34	}	}	PUNCT
ejpam-2465	284	35	is	be	AUX
ejpam-2465	284	36	equicontinuous	equicontinuous	ADJ
ejpam-2465	284	37	.	.	PUNCT
ejpam-2465	285	1	it	it	PRON
ejpam-2465	285	2	remains	remain	VERB
ejpam-2465	285	3	to	to	PART
ejpam-2465	285	4	prove	prove	VERB
ejpam-2465	285	5	that	that	SCONJ
ejpam-2465	285	6	for	for	ADP
ejpam-2465	285	7	t	t	PROPN
ejpam-2465	285	8	∈	∈	PROPN
ejpam-2465	286	1	[	[	X
ejpam-2465	286	2	0	0	NUM
ejpam-2465	286	3	,	,	PUNCT
ejpam-2465	286	4	b	b	NOUN
ejpam-2465	286	5	]	]	X
ejpam-2465	286	6	,	,	PUNCT
ejpam-2465	286	7	the	the	DET
ejpam-2465	286	8	set	set	NOUN
ejpam-2465	286	9	v	v	NOUN
ejpam-2465	286	10	(	(	PUNCT
ejpam-2465	286	11	t	t	NOUN
ejpam-2465	286	12	)	)	PUNCT
ejpam-2465	286	13	=	=	PRON
ejpam-2465	286	14	{	{	PUNCT
ejpam-2465	286	15	(	(	PUNCT
ejpam-2465	286	16	f	f	PROPN
ejpam-2465	286	17	x)(t	x)(t	PROPN
ejpam-2465	286	18	)	)	PUNCT
ejpam-2465	286	19	,	,	PUNCT
ejpam-2465	286	20	x	x	PUNCT
ejpam-2465	286	21	∈	∈	PROPN
ejpam-2465	286	22	bk	bk	PRON
ejpam-2465	286	23	}	}	PUNCT
ejpam-2465	286	24	is	be	AUX
ejpam-2465	286	25	relatively	relatively	ADV
ejpam-2465	286	26	compact	compact	ADJ
ejpam-2465	286	27	in	in	ADP
ejpam-2465	286	28	e.	e.	PROPN
ejpam-2465	286	29	obviously	obviously	ADV
ejpam-2465	286	30	,	,	PUNCT
ejpam-2465	286	31	v	v	X
ejpam-2465	286	32	(	(	PUNCT
ejpam-2465	286	33	0	0	NUM
ejpam-2465	286	34	)	)	PUNCT
ejpam-2465	286	35	is	be	AUX
ejpam-2465	286	36	relatively	relatively	ADV
ejpam-2465	286	37	compact	compact	ADJ
ejpam-2465	286	38	in	in	ADP
ejpam-2465	286	39	e.	e.	PROPN
ejpam-2465	287	1	let	let	VERB
ejpam-2465	287	2	0	0	PUNCT
ejpam-2465	287	3	<	<	X
ejpam-2465	287	4	t	t	X
ejpam-2465	287	5	≤	≤	NUM
ejpam-2465	287	6	b	b	NOUN
ejpam-2465	287	7	be	be	AUX
ejpam-2465	287	8	fixed	fix	VERB
ejpam-2465	287	9	.	.	PUNCT
ejpam-2465	288	1	for	for	ADP
ejpam-2465	288	2	∀ǫ	∀ǫ	PROPN
ejpam-2465	288	3	∈	∈	PROPN
ejpam-2465	288	4	(	(	PUNCT
ejpam-2465	288	5	0	0	NUM
ejpam-2465	288	6	,	,	PUNCT
ejpam-2465	288	7	t	t	PROPN
ejpam-2465	288	8	)	)	PUNCT
ejpam-2465	288	9	and	and	CCONJ
ejpam-2465	288	10	∀δ	∀δ	X
ejpam-2465	288	11	>	>	X
ejpam-2465	288	12	0	0	NUM
ejpam-2465	288	13	,	,	PUNCT
ejpam-2465	288	14	define	define	VERB
ejpam-2465	288	15	an	an	DET
ejpam-2465	288	16	operator	operator	NOUN
ejpam-2465	288	17	fǫ	fǫ	VERB
ejpam-2465	288	18	,	,	PUNCT
ejpam-2465	288	19	δ	δ	PROPN
ejpam-2465	288	20	on	on	ADP
ejpam-2465	288	21	bk	bk	NOUN
ejpam-2465	288	22	by	by	ADP
ejpam-2465	288	23	the	the	DET
ejpam-2465	288	24	formula	formula	NOUN
ejpam-2465	288	25	(	(	PUNCT
ejpam-2465	288	26	fǫ	fǫ	VERB
ejpam-2465	288	27	,	,	PUNCT
ejpam-2465	288	28	δx)(t	δx)(t	ADJ
ejpam-2465	288	29	)	)	PUNCT
ejpam-2465	289	1	=	=	SYM
ejpam-2465	290	1	∫	∫	PROPN
ejpam-2465	290	2	∞	∞	PROPN
ejpam-2465	290	3	δ	δ	PROPN
ejpam-2465	290	4	ξα(θ	ξα(θ	PUNCT
ejpam-2465	290	5	)	)	PUNCT
ejpam-2465	291	1	q(t	q(t	ADJ
ejpam-2465	291	2	αθ	αθ	NOUN
ejpam-2465	291	3	)	)	PUNCT
ejpam-2465	291	4	(	(	PUNCT
ejpam-2465	292	1	x0	x0	PROPN
ejpam-2465	292	2	−	−	PROPN
ejpam-2465	292	3	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	293	1	+	+	NOUN
ejpam-2465	293	2	α	α	NOUN
ejpam-2465	293	3	∫	∫	PROPN
ejpam-2465	293	4	t−ǫ	t−ǫ	PROPN
ejpam-2465	293	5	0	0	NUM
ejpam-2465	294	1	∫	∫	PROPN
ejpam-2465	295	1	∞	∞	PROPN
ejpam-2465	295	2	δ	δ	PROPN
ejpam-2465	295	3	θ	θ	PROPN
ejpam-2465	295	4	(	(	PUNCT
ejpam-2465	295	5	t	t	NOUN
ejpam-2465	295	6	−	−	PROPN
ejpam-2465	295	7	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	295	8	)	)	PUNCT
ejpam-2465	295	9	q((t	q((t	NOUN
ejpam-2465	296	1	−	−	PROPN
ejpam-2465	296	2	s)αθ	s)αθ	PROPN
ejpam-2465	296	3	)	)	PUNCT
ejpam-2465	296	4	f	f	PROPN
ejpam-2465	296	5	(	(	PUNCT
ejpam-2465	296	6	s	s	PROPN
ejpam-2465	296	7	,	,	PUNCT
ejpam-2465	296	8	x(s	x(s	PROPN
ejpam-2465	296	9	)	)	PUNCT
ejpam-2465	296	10	,	,	PUNCT
ejpam-2465	297	1	iβ	iβ	ADP
ejpam-2465	297	2	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	297	3	=	=	PUNCT
ejpam-2465	297	4	q(ǫαδ	q(ǫαδ	X
ejpam-2465	297	5	)	)	PUNCT
ejpam-2465	297	6	�	�	PROPN
ejpam-2465	297	7	∫	∫	PROPN
ejpam-2465	297	8	∞	∞	PROPN
ejpam-2465	297	9	δ	δ	PROPN
ejpam-2465	297	10	ξα(θ	ξα(θ	ADV
ejpam-2465	297	11	)	)	PUNCT
ejpam-2465	298	1	q(t	q(t	ADJ
ejpam-2465	298	2	αθ	αθ	INTJ
ejpam-2465	298	3	−	−	NOUN
ejpam-2465	299	1	ǫαδ)(x0	ǫαδ)(x0	PROPN
ejpam-2465	299	2	−	−	PROPN
ejpam-2465	299	3	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	300	1	+	+	CCONJ
ejpam-2465	301	1	∫	∫	PROPN
ejpam-2465	301	2	t−ǫ	t−ǫ	PROPN
ejpam-2465	301	3	0	0	NUM
ejpam-2465	301	4	∫	∫	PROPN
ejpam-2465	301	5	∞	∞	PROPN
ejpam-2465	301	6	δ	δ	PROPN
ejpam-2465	301	7	θ	θ	PROPN
ejpam-2465	301	8	(	(	PUNCT
ejpam-2465	301	9	t	t	NOUN
ejpam-2465	301	10	−	−	PROPN
ejpam-2465	301	11	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	301	12	)	)	PUNCT
ejpam-2465	301	13	q((t	q((t	NOUN
ejpam-2465	302	1	−	−	PROPN
ejpam-2465	303	1	s)αθ	s)αθ	NOUN
ejpam-2465	303	2	−	−	PROPN
ejpam-2465	303	3	ǫαδ	ǫαδ	NUM
ejpam-2465	303	4	)	)	PUNCT
ejpam-2465	303	5	f	f	NOUN
ejpam-2465	303	6	(	(	PUNCT
ejpam-2465	303	7	s	s	PROPN
ejpam-2465	303	8	,	,	PUNCT
ejpam-2465	303	9	x(s	x(s	PROPN
ejpam-2465	303	10	)	)	PUNCT
ejpam-2465	303	11	,	,	PUNCT
ejpam-2465	303	12	iβ	iβ	ADP
ejpam-2465	303	13	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	303	14	�	�	PROPN
ejpam-2465	303	15	,	,	PUNCT
ejpam-2465	303	16	where	where	SCONJ
ejpam-2465	303	17	x	x	X
ejpam-2465	303	18	∈	∈	NOUN
ejpam-2465	303	19	bk	bk	PROPN
ejpam-2465	303	20	.	.	PUNCT
ejpam-2465	304	1	then	then	ADV
ejpam-2465	304	2	from	from	ADP
ejpam-2465	304	3	the	the	DET
ejpam-2465	304	4	compactness	compactness	NOUN
ejpam-2465	304	5	of	of	ADP
ejpam-2465	304	6	q(ǫαδ)(ǫαδ	q(ǫαδ)(ǫαδ	NOUN
ejpam-2465	304	7	>	>	PUNCT
ejpam-2465	304	8	0	0	NUM
ejpam-2465	304	9	)	)	PUNCT
ejpam-2465	304	10	,	,	PUNCT
ejpam-2465	304	11	we	we	PRON
ejpam-2465	304	12	obtain	obtain	VERB
ejpam-2465	304	13	that	that	SCONJ
ejpam-2465	304	14	the	the	DET
ejpam-2465	304	15	set	set	NOUN
ejpam-2465	304	16	vǫ	vǫ	NOUN
ejpam-2465	304	17	,	,	PUNCT
ejpam-2465	304	18	δ(t	δ(t	PROPN
ejpam-2465	304	19	)	)	PUNCT
ejpam-2465	304	20	=	=	SYM
ejpam-2465	304	21	{	{	PUNCT
ejpam-2465	304	22	(	(	PUNCT
ejpam-2465	304	23	fǫ	fǫ	VERB
ejpam-2465	304	24	,	,	PUNCT
ejpam-2465	304	25	δx)(t	δx)(t	ADJ
ejpam-2465	304	26	)	)	PUNCT
ejpam-2465	304	27	,	,	PUNCT
ejpam-2465	304	28	x	x	PUNCT
ejpam-2465	304	29	∈	∈	PROPN
ejpam-2465	304	30	bk	bk	PRON
ejpam-2465	304	31	}	}	PUNCT
ejpam-2465	304	32	is	be	AUX
ejpam-2465	304	33	relatively	relatively	ADV
ejpam-2465	304	34	compact	compact	ADJ
ejpam-2465	304	35	in	in	ADP
ejpam-2465	304	36	e.	e.	PROPN
ejpam-2465	304	37	obviously	obviously	ADV
ejpam-2465	304	38	,	,	PUNCT
ejpam-2465	304	39	v	v	X
ejpam-2465	304	40	(	(	PUNCT
ejpam-2465	304	41	0	0	NUM
ejpam-2465	304	42	)	)	PUNCT
ejpam-2465	304	43	is	be	AUX
ejpam-2465	304	44	relatively	relatively	ADV
ejpam-2465	304	45	compact	compact	ADJ
ejpam-2465	304	46	in	in	ADP
ejpam-2465	304	47	e	e	PROPN
ejpam-2465	304	48	for	for	ADP
ejpam-2465	304	49	∀ǫ	∀ǫ	PROPN
ejpam-2465	304	50	∈	∈	PROPN
ejpam-2465	304	51	(	(	PUNCT
ejpam-2465	304	52	0	0	NUM
ejpam-2465	304	53	,	,	PUNCT
ejpam-2465	304	54	t	t	PROPN
ejpam-2465	304	55	)	)	PUNCT
ejpam-2465	304	56	and	and	CCONJ
ejpam-2465	304	57	∀δ	∀δ	X
ejpam-2465	304	58	>	>	X
ejpam-2465	305	1	0	0	X
ejpam-2465	305	2	.	.	PUNCT
ejpam-2465	306	1	moreover	moreover	ADV
ejpam-2465	306	2	,	,	PUNCT
ejpam-2465	306	3	for	for	ADP
ejpam-2465	306	4	every	every	DET
ejpam-2465	306	5	x	x	SYM
ejpam-2465	306	6	∈	∈	PROPN
ejpam-2465	306	7	bk	bk	INTJ
ejpam-2465	306	8	,	,	PUNCT
ejpam-2465	306	9	we	we	PRON
ejpam-2465	306	10	have	have	VERB
ejpam-2465	306	11	|(f	|(f	PROPN
ejpam-2465	306	12	x)(t)−	x)(t)−	X
ejpam-2465	306	13	(	(	PUNCT
ejpam-2465	306	14	fǫ	fǫ	VERB
ejpam-2465	306	15	,	,	PUNCT
ejpam-2465	306	16	δx)(t)|	δx)(t)|	PROPN
ejpam-2465	306	17	≤	≤	PROPN
ejpam-2465	306	18	�	�	PROPN
ejpam-2465	306	19	�	�	PROPN
ejpam-2465	306	20	�	�	PROPN
ejpam-2465	306	21	�	�	PROPN
ejpam-2465	306	22	�	�	PROPN
ejpam-2465	306	23	∫	∫	PROPN
ejpam-2465	306	24	δ	δ	PROPN
ejpam-2465	306	25	0	0	NUM
ejpam-2465	306	26	ξα(θ	ξα(θ	NUM
ejpam-2465	306	27	)	)	PUNCT
ejpam-2465	306	28	q(t	q(t	ADJ
ejpam-2465	306	29	αθ	αθ	NOUN
ejpam-2465	306	30	)	)	PUNCT
ejpam-2465	306	31	(	(	PUNCT
ejpam-2465	307	1	x0	x0	PROPN
ejpam-2465	307	2	−	−	PROPN
ejpam-2465	307	3	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	307	4	�	�	PROPN
ejpam-2465	307	5	�	�	PROPN
ejpam-2465	307	6	�	�	PROPN
ejpam-2465	307	7	�	�	PROPN
ejpam-2465	307	8	�	�	PROPN
ejpam-2465	307	9	+	+	PROPN
ejpam-2465	307	10	α	α	PROPN
ejpam-2465	307	11	�	�	PROPN
ejpam-2465	307	12	�	�	PROPN
ejpam-2465	307	13	�	�	PROPN
ejpam-2465	307	14	�	�	PROPN
ejpam-2465	307	15	�	�	PROPN
ejpam-2465	307	16	∫	∫	PROPN
ejpam-2465	307	17	t	t	PROPN
ejpam-2465	307	18	0	0	NUM
ejpam-2465	307	19	∫	∫	PROPN
ejpam-2465	307	20	δ	δ	PROPN
ejpam-2465	307	21	0	0	NUM
ejpam-2465	307	22	θ	θ	PROPN
ejpam-2465	307	23	(	(	PUNCT
ejpam-2465	307	24	t	t	NOUN
ejpam-2465	307	25	−	−	PROPN
ejpam-2465	307	26	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	307	27	)	)	PUNCT
ejpam-2465	307	28	q((t	q((t	NOUN
ejpam-2465	308	1	−	−	PROPN
ejpam-2465	308	2	s)αθ	s)αθ	PROPN
ejpam-2465	308	3	)	)	PUNCT
ejpam-2465	308	4	f	f	PROPN
ejpam-2465	308	5	(	(	PUNCT
ejpam-2465	308	6	s	s	PROPN
ejpam-2465	308	7	,	,	PUNCT
ejpam-2465	308	8	x(s	x(s	PROPN
ejpam-2465	308	9	)	)	PUNCT
ejpam-2465	309	1	,	,	PUNCT
ejpam-2465	309	2	iβ	iβ	ADP
ejpam-2465	309	3	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	309	4	�	�	PROPN
ejpam-2465	309	5	�	�	PROPN
ejpam-2465	309	6	�	�	PROPN
ejpam-2465	309	7	�	�	PROPN
ejpam-2465	309	8	�	�	PROPN
ejpam-2465	309	9	+	+	CCONJ
ejpam-2465	309	10	�	�	PROPN
ejpam-2465	309	11	�	�	PROPN
ejpam-2465	309	12	�	�	PROPN
ejpam-2465	309	13	�	�	PROPN
ejpam-2465	309	14	�	�	PROPN
ejpam-2465	309	15	∫	∫	PROPN
ejpam-2465	309	16	t	t	PROPN
ejpam-2465	309	17	0	0	NUM
ejpam-2465	309	18	∫	∫	PROPN
ejpam-2465	309	19	∞	∞	PROPN
ejpam-2465	309	20	δ	δ	PROPN
ejpam-2465	309	21	θ	θ	PROPN
ejpam-2465	309	22	(	(	PUNCT
ejpam-2465	309	23	t	t	NOUN
ejpam-2465	309	24	−	−	PROPN
ejpam-2465	309	25	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	309	26	)	)	PUNCT
ejpam-2465	309	27	q((t	q((t	NOUN
ejpam-2465	310	1	−	−	PROPN
ejpam-2465	311	1	s)αθ	s)αθ	PROPN
ejpam-2465	311	2	)	)	PUNCT
ejpam-2465	311	3	f	f	PROPN
ejpam-2465	311	4	(	(	PUNCT
ejpam-2465	311	5	s	s	PROPN
ejpam-2465	311	6	,	,	PUNCT
ejpam-2465	311	7	x(s	x(s	PROPN
ejpam-2465	311	8	)	)	PUNCT
ejpam-2465	311	9	,	,	PUNCT
ejpam-2465	311	10	iβ	iβ	ADP
ejpam-2465	311	11	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	311	12	−	−	PROPN
ejpam-2465	312	1	∫	∫	PROPN
ejpam-2465	312	2	t−ǫ	t−ǫ	PROPN
ejpam-2465	312	3	0	0	NUM
ejpam-2465	312	4	∫	∫	PROPN
ejpam-2465	312	5	∞	∞	PROPN
ejpam-2465	312	6	δ	δ	PROPN
ejpam-2465	312	7	θ	θ	PROPN
ejpam-2465	312	8	(	(	PUNCT
ejpam-2465	312	9	t	t	NOUN
ejpam-2465	312	10	−	−	PROPN
ejpam-2465	312	11	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	312	12	)	)	PUNCT
ejpam-2465	312	13	q((t	q((t	NOUN
ejpam-2465	312	14	−	−	PROPN
ejpam-2465	313	1	s)αθ	s)αθ	PROPN
ejpam-2465	313	2	)	)	PUNCT
ejpam-2465	313	3	f	f	PROPN
ejpam-2465	313	4	(	(	PUNCT
ejpam-2465	313	5	s	s	PROPN
ejpam-2465	313	6	,	,	PUNCT
ejpam-2465	313	7	x(s	x(s	PROPN
ejpam-2465	313	8	)	)	PUNCT
ejpam-2465	313	9	,	,	PUNCT
ejpam-2465	313	10	iβ	iβ	ADP
ejpam-2465	313	11	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	313	12	�	�	PROPN
ejpam-2465	313	13	�	�	PROPN
ejpam-2465	313	14	�	�	PROPN
ejpam-2465	313	15	�	�	PROPN
ejpam-2465	313	16	�	�	PROPN
ejpam-2465	313	17	≤m(x0	≤m(x0	PROPN
ejpam-2465	313	18	+	+	CCONJ
ejpam-2465	313	19	lk+	lk+	ADJ
ejpam-2465	313	20	l	l	NOUN
ejpam-2465	313	21	′	′	NUM
ejpam-2465	313	22	)	)	PUNCT
ejpam-2465	314	1	∫	∫	PROPN
ejpam-2465	314	2	δ	δ	PROPN
ejpam-2465	314	3	0	0	NUM
ejpam-2465	314	4	ξα(θ	ξα(θ	NUM
ejpam-2465	314	5	)	)	PUNCT
ejpam-2465	315	1	dθ	dθ	PROPN
ejpam-2465	315	2	+	+	PROPN
ejpam-2465	315	3	αmk	αmk	PROPN
ejpam-2465	315	4	∫	∫	PROPN
ejpam-2465	315	5	t	t	PROPN
ejpam-2465	315	6	0	0	NUM
ejpam-2465	315	7	∫	∫	PROPN
ejpam-2465	315	8	δ	δ	PROPN
ejpam-2465	315	9	0	0	NUM
ejpam-2465	315	10	θ	θ	PROPN
ejpam-2465	315	11	(	(	PUNCT
ejpam-2465	315	12	t	t	NOUN
ejpam-2465	315	13	−	−	PROPN
ejpam-2465	315	14	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	315	15	)	)	PUNCT
ejpam-2465	315	16	µ(s)(1	µ(s)(1	PROPN
ejpam-2465	315	17	+	+	NUM
ejpam-2465	315	18	sβ	sβ	VERB
ejpam-2465	315	19	γ(β	γ(β	PROPN
ejpam-2465	315	20	+	+	CCONJ
ejpam-2465	315	21	1	1	NUM
ejpam-2465	315	22	)	)	PUNCT
ejpam-2465	315	23	)	)	PUNCT
ejpam-2465	315	24	dθds	dθds	ADJ
ejpam-2465	315	25	m.	m.	NOUN
ejpam-2465	315	26	abbas	abbas	PROPN
ejpam-2465	315	27	/	/	SYM
ejpam-2465	315	28	eur	eur	PROPN
ejpam-2465	315	29	.	.	PUNCT
ejpam-2465	316	1	j.	j.	PROPN
ejpam-2465	316	2	pure	pure	PROPN
ejpam-2465	316	3	appl	appl	PROPN
ejpam-2465	316	4	.	.	PROPN
ejpam-2465	316	5	math	math	PROPN
ejpam-2465	316	6	,	,	PUNCT
ejpam-2465	316	7	8	8	NUM
ejpam-2465	316	8	(	(	PUNCT
ejpam-2465	316	9	2015	2015	NUM
ejpam-2465	316	10	)	)	PUNCT
ejpam-2465	316	11	,	,	PUNCT
ejpam-2465	316	12	478	478	NUM
ejpam-2465	316	13	-	-	SYM
ejpam-2465	316	14	498	498	NUM
ejpam-2465	316	15	490	490	NUM
ejpam-2465	316	16	+	+	NOUN
ejpam-2465	316	17	αmk	αmk	PROPN
ejpam-2465	316	18	∫	∫	PROPN
ejpam-2465	316	19	t	t	PROPN
ejpam-2465	316	20	t−ǫ	t−ǫ	PROPN
ejpam-2465	316	21	∫	∫	PROPN
ejpam-2465	317	1	∞	∞	PROPN
ejpam-2465	317	2	δ	δ	PROPN
ejpam-2465	317	3	θ	θ	PROPN
ejpam-2465	317	4	(	(	PUNCT
ejpam-2465	317	5	t	t	NOUN
ejpam-2465	317	6	−	−	PROPN
ejpam-2465	317	7	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	317	8	)	)	PUNCT
ejpam-2465	317	9	µ(s)(1	µ(s)(1	PROPN
ejpam-2465	317	10	+	+	NUM
ejpam-2465	317	11	sβ	sβ	VERB
ejpam-2465	317	12	γ(β	γ(β	PROPN
ejpam-2465	317	13	+	+	CCONJ
ejpam-2465	317	14	1	1	NUM
ejpam-2465	317	15	)	)	PUNCT
ejpam-2465	317	16	)	)	PUNCT
ejpam-2465	317	17	dθds	dθds	ADJ
ejpam-2465	317	18	≤m(x0	≤m(x0	PROPN
ejpam-2465	318	1	+	+	CCONJ
ejpam-2465	318	2	lk+	lk+	ADJ
ejpam-2465	318	3	l	l	NOUN
ejpam-2465	318	4	′	′	NUM
ejpam-2465	318	5	)	)	PUNCT
ejpam-2465	319	1	∫	∫	PROPN
ejpam-2465	319	2	δ	δ	PROPN
ejpam-2465	319	3	0	0	NUM
ejpam-2465	319	4	ξα(θ	ξα(θ	NUM
ejpam-2465	319	5	)	)	PUNCT
ejpam-2465	319	6	dθ	dθ	PROPN
ejpam-2465	319	7	+	+	PROPN
ejpam-2465	319	8	αmk	αmk	PROPN
ejpam-2465	319	9	�	�	PROPN
ejpam-2465	319	10	∫	∫	PROPN
ejpam-2465	319	11	t	t	PROPN
ejpam-2465	319	12	0	0	NUM
ejpam-2465	319	13	(	(	PUNCT
ejpam-2465	319	14	t	t	PROPN
ejpam-2465	319	15	−	−	PROPN
ejpam-2465	319	16	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	320	1	+	+	CCONJ
ejpam-2465	320	2	sβ	sβ	VERB
ejpam-2465	320	3	γ(β	γ(β	PROPN
ejpam-2465	320	4	+	+	CCONJ
ejpam-2465	320	5	1	1	NUM
ejpam-2465	320	6	)	)	PUNCT
ejpam-2465	320	7	)	)	PUNCT
ejpam-2465	320	8	ds	ds	PROPN
ejpam-2465	320	9	�	�	PROPN
ejpam-2465	320	10	∫	∫	PROPN
ejpam-2465	320	11	δ	δ	PROPN
ejpam-2465	320	12	0	0	NUM
ejpam-2465	320	13	θξα(θ	θξα(θ	NOUN
ejpam-2465	320	14	)	)	PUNCT
ejpam-2465	320	15	dθ	dθ	PROPN
ejpam-2465	320	16	+	+	PROPN
ejpam-2465	320	17	αmk	αmk	PROPN
ejpam-2465	320	18	�	�	PROPN
ejpam-2465	320	19	∫	∫	PROPN
ejpam-2465	320	20	t	t	PROPN
ejpam-2465	320	21	t−ǫ	t−ǫ	PROPN
ejpam-2465	320	22	(	(	PUNCT
ejpam-2465	320	23	t	t	PROPN
ejpam-2465	320	24	−	−	PROPN
ejpam-2465	320	25	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	321	1	+	+	CCONJ
ejpam-2465	321	2	sβ	sβ	VERB
ejpam-2465	321	3	γ(β	γ(β	PROPN
ejpam-2465	321	4	+	+	CCONJ
ejpam-2465	321	5	1	1	NUM
ejpam-2465	321	6	)	)	PUNCT
ejpam-2465	321	7	)	)	PUNCT
ejpam-2465	321	8	�	�	PROPN
ejpam-2465	321	9	∫	∫	PROPN
ejpam-2465	321	10	∞	∞	PROPN
ejpam-2465	321	11	0	0	NUM
ejpam-2465	322	1	θξα(θ	θξα(θ	NOUN
ejpam-2465	322	2	)	)	PUNCT
ejpam-2465	322	3	dθds	dθds	ADJ
ejpam-2465	322	4	≤	≤	PROPN
ejpam-2465	322	5	m(x0	m(x0	NOUN
ejpam-2465	323	1	+	+	CCONJ
ejpam-2465	323	2	lk+	lk+	NOUN
ejpam-2465	323	3	l	l	NOUN
ejpam-2465	323	4	′	′	NUM
ejpam-2465	323	5	)	)	PUNCT
ejpam-2465	324	1	∫	∫	PROPN
ejpam-2465	324	2	δ	δ	PROPN
ejpam-2465	324	3	0	0	NUM
ejpam-2465	324	4	ξα(θ	ξα(θ	NUM
ejpam-2465	324	5	)	)	PUNCT
ejpam-2465	324	6	dθ	dθ	PROPN
ejpam-2465	324	7	+	+	PROPN
ejpam-2465	324	8	αmk	αmk	PROPN
ejpam-2465	324	9	�	�	PROPN
ejpam-2465	324	10	∫	∫	PROPN
ejpam-2465	324	11	t	t	PROPN
ejpam-2465	324	12	0	0	NUM
ejpam-2465	324	13	(	(	PUNCT
ejpam-2465	324	14	t	t	PROPN
ejpam-2465	324	15	−	−	PROPN
ejpam-2465	324	16	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	325	1	+	+	CCONJ
ejpam-2465	325	2	sβ	sβ	VERB
ejpam-2465	325	3	γ(β	γ(β	PROPN
ejpam-2465	325	4	+	+	CCONJ
ejpam-2465	325	5	1	1	NUM
ejpam-2465	325	6	)	)	PUNCT
ejpam-2465	325	7	)	)	PUNCT
ejpam-2465	325	8	ds	ds	PROPN
ejpam-2465	325	9	�	�	PROPN
ejpam-2465	325	10	∫	∫	PROPN
ejpam-2465	325	11	δ	δ	PROPN
ejpam-2465	325	12	0	0	NUM
ejpam-2465	325	13	θξα(θ	θξα(θ	NOUN
ejpam-2465	325	14	)	)	PUNCT
ejpam-2465	325	15	dθ	dθ	PROPN
ejpam-2465	325	16	+	+	PROPN
ejpam-2465	325	17	αmk	αmk	PROPN
ejpam-2465	325	18	�	�	PROPN
ejpam-2465	325	19	∫	∫	PROPN
ejpam-2465	325	20	t	t	PROPN
ejpam-2465	325	21	t−ǫ	t−ǫ	PROPN
ejpam-2465	325	22	(	(	PUNCT
ejpam-2465	325	23	t	t	PROPN
ejpam-2465	325	24	−	−	PROPN
ejpam-2465	325	25	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	326	1	+	+	CCONJ
ejpam-2465	326	2	sβ	sβ	VERB
ejpam-2465	326	3	γ(β	γ(β	PROPN
ejpam-2465	326	4	+	+	CCONJ
ejpam-2465	326	5	1	1	NUM
ejpam-2465	326	6	)	)	PUNCT
ejpam-2465	326	7	)	)	PUNCT
ejpam-2465	326	8	�	�	PROPN
ejpam-2465	326	9	.	.	PUNCT
ejpam-2465	327	1	using	use	VERB
ejpam-2465	327	2	again	again	ADV
ejpam-2465	327	3	the	the	DET
ejpam-2465	327	4	same	same	ADJ
ejpam-2465	327	5	analogous	analogous	NOUN
ejpam-2465	327	6	performed	perform	VERB
ejpam-2465	327	7	in	in	ADP
ejpam-2465	327	8	(	(	PUNCT
ejpam-2465	327	9	5	5	NUM
ejpam-2465	327	10	)	)	PUNCT
ejpam-2465	327	11	,	,	PUNCT
ejpam-2465	327	12	we	we	PRON
ejpam-2465	327	13	have	have	VERB
ejpam-2465	327	14	∫	∫	PROPN
ejpam-2465	327	15	t	t	PROPN
ejpam-2465	327	16	0	0	NUM
ejpam-2465	328	1	(	(	PUNCT
ejpam-2465	328	2	t	t	PROPN
ejpam-2465	328	3	−	−	PROPN
ejpam-2465	328	4	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	329	1	+	+	CCONJ
ejpam-2465	329	2	sβ	sβ	VERB
ejpam-2465	329	3	γ(β	γ(β	PROPN
ejpam-2465	329	4	+	+	CCONJ
ejpam-2465	329	5	1	1	NUM
ejpam-2465	329	6	)	)	PUNCT
ejpam-2465	329	7	)	)	PUNCT
ejpam-2465	329	8	ds	ds	PROPN
ejpam-2465	329	9	≤	≤	NUM
ejpam-2465	329	10	�	�	PROPN
ejpam-2465	329	11	p−	p−	PROPN
ejpam-2465	329	12	1	1	NUM
ejpam-2465	329	13	p+	p+	NOUN
ejpam-2465	329	14	(	(	PUNCT
ejpam-2465	329	15	α−	α−	ADP
ejpam-2465	329	16	1)p−	1)p−	NUM
ejpam-2465	329	17	1	1	NUM
ejpam-2465	329	18	�	�	PROPN
ejpam-2465	329	19	p−1	p−1	PROPN
ejpam-2465	329	20	p	p	PROPN
ejpam-2465	329	21	t	t	PROPN
ejpam-2465	329	22	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	329	23	p	p	NOUN
ejpam-2465	329	24	×	×	PROPN
ejpam-2465	329	25			PROPN
ejpam-2465	329	26	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	329	27	,	,	PUNCT
ejpam-2465	329	28	r+	r+	PUNCT
ejpam-2465	329	29	)	)	PUNCT
ejpam-2465	330	1	+	+	NUM
ejpam-2465	330	2	t	t	NOUN
ejpam-2465	330	3	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	330	4	p2	p2	PROPN
ejpam-2465	331	1	γ(1	γ(1	PROPN
ejpam-2465	331	2	+	+	CCONJ
ejpam-2465	331	3	β	β	NOUN
ejpam-2465	331	4	)	)	PUNCT
ejpam-2465	331	5	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	331	6	(	(	PUNCT
ejpam-2465	331	7	j	j	NOUN
ejpam-2465	331	8	,	,	PUNCT
ejpam-2465	331	9	r+	r+	PROPN
ejpam-2465	331	10	)	)	PUNCT
ejpam-2465	331	11			PROPN
ejpam-2465	332	1			PUNCT
ejpam-2465	332	2	,	,	PUNCT
ejpam-2465	332	3	and	and	CCONJ
ejpam-2465	332	4	∫	∫	PROPN
ejpam-2465	332	5	t	t	PROPN
ejpam-2465	332	6	t−ǫ	t−ǫ	PROPN
ejpam-2465	332	7	(	(	PUNCT
ejpam-2465	332	8	t	t	PROPN
ejpam-2465	332	9	−	−	PROPN
ejpam-2465	332	10	s)α−1µ(s)(1	s)α−1µ(s)(1	NOUN
ejpam-2465	333	1	+	+	CCONJ
ejpam-2465	333	2	sβ	sβ	VERB
ejpam-2465	333	3	γ(β	γ(β	PROPN
ejpam-2465	333	4	+	+	CCONJ
ejpam-2465	333	5	1	1	NUM
ejpam-2465	333	6	)	)	PUNCT
ejpam-2465	333	7	)	)	PUNCT
ejpam-2465	333	8	ds	ds	PROPN
ejpam-2465	333	9	≤	≤	NUM
ejpam-2465	333	10	�	�	PROPN
ejpam-2465	333	11	p−	p−	PROPN
ejpam-2465	333	12	1	1	NUM
ejpam-2465	333	13	p+	p+	NOUN
ejpam-2465	333	14	(	(	PUNCT
ejpam-2465	333	15	α−	α−	ADP
ejpam-2465	333	16	1)p−	1)p−	NUM
ejpam-2465	333	17	1	1	NUM
ejpam-2465	333	18	�	�	PROPN
ejpam-2465	333	19	p−1	p−1	PROPN
ejpam-2465	333	20	p	p	PROPN
ejpam-2465	333	21	ǫ	ǫ	PRON
ejpam-2465	333	22	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	333	23	p	p	NOUN
ejpam-2465	333	24	×	×	PROPN
ejpam-2465	333	25			PROPN
ejpam-2465	333	26	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	333	27	,	,	PUNCT
ejpam-2465	333	28	r+	r+	PUNCT
ejpam-2465	333	29	)	)	PUNCT
ejpam-2465	334	1	+	+	CCONJ
ejpam-2465	334	2	ǫ	ǫ	PRON
ejpam-2465	334	3	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	334	4	p2	p2	PROPN
ejpam-2465	335	1	γ(1	γ(1	PROPN
ejpam-2465	335	2	+	+	CCONJ
ejpam-2465	335	3	β	β	NOUN
ejpam-2465	335	4	)	)	PUNCT
ejpam-2465	335	5	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	335	6	(	(	PUNCT
ejpam-2465	335	7	j	j	NOUN
ejpam-2465	335	8	,	,	PUNCT
ejpam-2465	335	9	r+	r+	PROPN
ejpam-2465	335	10	)	)	PUNCT
ejpam-2465	335	11			PUNCT
ejpam-2465	336	1			PUNCT
ejpam-2465	336	2	,	,	PUNCT
ejpam-2465	336	3	we	we	PRON
ejpam-2465	336	4	obtain	obtain	VERB
ejpam-2465	336	5	|(f	|(f	PROPN
ejpam-2465	336	6	x)(t)−	x)(t)−	X
ejpam-2465	336	7	(	(	PUNCT
ejpam-2465	336	8	fǫ	fǫ	VERB
ejpam-2465	336	9	,	,	PUNCT
ejpam-2465	336	10	δx)(t)|	δx)(t)|	PROPN
ejpam-2465	336	11	≤m(x0	≤m(x0	NOUN
ejpam-2465	336	12	+	+	NUM
ejpam-2465	336	13	lk+	lk+	ADJ
ejpam-2465	336	14	l	l	NOUN
ejpam-2465	336	15	′	′	NUM
ejpam-2465	336	16	)	)	PUNCT
ejpam-2465	336	17	∫	∫	PROPN
ejpam-2465	337	1	δ	δ	PROPN
ejpam-2465	337	2	0	0	NUM
ejpam-2465	337	3	ξα(θ	ξα(θ	NUM
ejpam-2465	337	4	)	)	PUNCT
ejpam-2465	337	5	dθ	dθ	PROPN
ejpam-2465	337	6	+	+	PROPN
ejpam-2465	337	7	αmk	αmk	PROPN
ejpam-2465	337	8	�	�	PROPN
ejpam-2465	337	9	p−	p−	PROPN
ejpam-2465	337	10	1	1	NUM
ejpam-2465	337	11	p+	p+	NOUN
ejpam-2465	337	12	(	(	PUNCT
ejpam-2465	337	13	α−	α−	ADP
ejpam-2465	337	14	1)p−	1)p−	NUM
ejpam-2465	337	15	1	1	NUM
ejpam-2465	337	16	�	�	PROPN
ejpam-2465	337	17	p−1	p−1	PROPN
ejpam-2465	337	18	p	p	PROPN
ejpam-2465	337	19	t	t	PROPN
ejpam-2465	337	20	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	337	21	p	p	NOUN
ejpam-2465	337	22			PROPN
ejpam-2465	337	23	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	337	24	,	,	PUNCT
ejpam-2465	337	25	r+	r+	PUNCT
ejpam-2465	337	26	)	)	PUNCT
ejpam-2465	338	1	+	+	NUM
ejpam-2465	338	2	t	t	NOUN
ejpam-2465	338	3	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	338	4	p2	p2	PROPN
ejpam-2465	339	1	γ(1	γ(1	PROPN
ejpam-2465	339	2	+	+	CCONJ
ejpam-2465	339	3	β	β	NOUN
ejpam-2465	339	4	)	)	PUNCT
ejpam-2465	339	5	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	339	6	(	(	PUNCT
ejpam-2465	339	7	j	j	NOUN
ejpam-2465	339	8	,	,	PUNCT
ejpam-2465	339	9	r+	r+	PROPN
ejpam-2465	339	10	)	)	PUNCT
ejpam-2465	339	11			PROPN
ejpam-2465	340	1			PUNCT
ejpam-2465	340	2	m.	m.	NOUN
ejpam-2465	340	3	abbas	abbas	PROPN
ejpam-2465	340	4	/	/	SYM
ejpam-2465	340	5	eur	eur	PROPN
ejpam-2465	340	6	.	.	PUNCT
ejpam-2465	341	1	j.	j.	PROPN
ejpam-2465	341	2	pure	pure	PROPN
ejpam-2465	341	3	appl	appl	PROPN
ejpam-2465	341	4	.	.	PROPN
ejpam-2465	341	5	math	math	PROPN
ejpam-2465	341	6	,	,	PUNCT
ejpam-2465	341	7	8	8	NUM
ejpam-2465	341	8	(	(	PUNCT
ejpam-2465	341	9	2015	2015	NUM
ejpam-2465	341	10	)	)	PUNCT
ejpam-2465	341	11	,	,	PUNCT
ejpam-2465	341	12	478	478	NUM
ejpam-2465	341	13	-	-	SYM
ejpam-2465	341	14	498	498	NUM
ejpam-2465	341	15	491	491	NUM
ejpam-2465	342	1	×	×	NOUN
ejpam-2465	342	2	∫	∫	PROPN
ejpam-2465	342	3	δ	δ	PROPN
ejpam-2465	342	4	0	0	NUM
ejpam-2465	342	5	θξα(θ	θξα(θ	NOUN
ejpam-2465	342	6	)	)	PUNCT
ejpam-2465	343	1	dθ	dθ	PROPN
ejpam-2465	343	2	+	+	PROPN
ejpam-2465	343	3	αmk	αmk	PROPN
ejpam-2465	343	4	�	�	PROPN
ejpam-2465	343	5	p−	p−	PROPN
ejpam-2465	343	6	1	1	NUM
ejpam-2465	343	7	p+	p+	NOUN
ejpam-2465	343	8	(	(	PUNCT
ejpam-2465	343	9	α−	α−	ADP
ejpam-2465	343	10	1)p−	1)p−	NUM
ejpam-2465	343	11	1	1	NUM
ejpam-2465	343	12	�	�	PROPN
ejpam-2465	343	13	p−1	p−1	PROPN
ejpam-2465	343	14	p	p	PROPN
ejpam-2465	343	15	×	×	PROPN
ejpam-2465	343	16	ǫ	ǫ	PRON
ejpam-2465	343	17	p+(α−1)p−1	p+(α−1)p−1	NOUN
ejpam-2465	343	18	p	p	NOUN
ejpam-2465	343	19			PROPN
ejpam-2465	343	20	‖µ‖lp(j	‖µ‖lp(j	PROPN
ejpam-2465	343	21	,	,	PUNCT
ejpam-2465	343	22	r+	r+	PUNCT
ejpam-2465	343	23	)	)	PUNCT
ejpam-2465	344	1	+	+	CCONJ
ejpam-2465	344	2	ǫ	ǫ	PRON
ejpam-2465	344	3	βp2+p−1	βp2+p−1	NOUN
ejpam-2465	344	4	p2	p2	PROPN
ejpam-2465	345	1	γ(1	γ(1	PROPN
ejpam-2465	345	2	+	+	CCONJ
ejpam-2465	345	3	β	β	NOUN
ejpam-2465	345	4	)	)	PUNCT
ejpam-2465	345	5	‖µ‖lp2	‖µ‖lp2	NOUN
ejpam-2465	345	6	(	(	PUNCT
ejpam-2465	345	7	j	j	NOUN
ejpam-2465	345	8	,	,	PUNCT
ejpam-2465	345	9	r+	r+	PROPN
ejpam-2465	345	10	)	)	PUNCT
ejpam-2465	345	11			PUNCT
ejpam-2465	345	12			PUNCT
ejpam-2465	345	13	.	.	PUNCT
ejpam-2465	346	1	therefore	therefore	ADV
ejpam-2465	346	2	,	,	PUNCT
ejpam-2465	346	3	there	there	PRON
ejpam-2465	346	4	are	be	VERB
ejpam-2465	346	5	relatively	relatively	ADV
ejpam-2465	346	6	compact	compact	ADJ
ejpam-2465	346	7	sets	set	NOUN
ejpam-2465	346	8	{	{	PUNCT
ejpam-2465	346	9	(	(	PUNCT
ejpam-2465	346	10	fǫ	fǫ	VERB
ejpam-2465	346	11	,	,	PUNCT
ejpam-2465	346	12	δx)(t	δx)(t	ADJ
ejpam-2465	346	13	)	)	PUNCT
ejpam-2465	346	14	,	,	PUNCT
ejpam-2465	346	15	x	x	PUNCT
ejpam-2465	346	16	∈	∈	PROPN
ejpam-2465	346	17	bk	bk	AUX
ejpam-2465	346	18	}	}	PUNCT
ejpam-2465	346	19	arbitrarily	arbitrarily	ADV
ejpam-2465	346	20	close	close	ADJ
ejpam-2465	346	21	to	to	ADP
ejpam-2465	346	22	the	the	DET
ejpam-2465	346	23	set	set	NOUN
ejpam-2465	346	24	{	{	PUNCT
ejpam-2465	346	25	(	(	PUNCT
ejpam-2465	346	26	f	f	PROPN
ejpam-2465	346	27	x)(t	x)(t	PROPN
ejpam-2465	346	28	)	)	PUNCT
ejpam-2465	346	29	,	,	PUNCT
ejpam-2465	346	30	x	x	PUNCT
ejpam-2465	346	31	∈	∈	PROPN
ejpam-2465	346	32	bk	bk	NOUN
ejpam-2465	346	33	}	}	PUNCT
ejpam-2465	346	34	for	for	ADP
ejpam-2465	346	35	t	t	PROPN
ejpam-2465	346	36	∈	∈	PROPN
ejpam-2465	346	37	(	(	PUNCT
ejpam-2465	346	38	0	0	NUM
ejpam-2465	346	39	,	,	PUNCT
ejpam-2465	346	40	b	b	NOUN
ejpam-2465	346	41	]	]	X
ejpam-2465	346	42	.	.	PUNCT
ejpam-2465	347	1	hence	hence	ADV
ejpam-2465	347	2	,	,	PUNCT
ejpam-2465	347	3	{	{	PUNCT
ejpam-2465	347	4	(	(	PUNCT
ejpam-2465	347	5	f	f	PROPN
ejpam-2465	347	6	x)(t	x)(t	PROPN
ejpam-2465	347	7	)	)	PUNCT
ejpam-2465	347	8	,	,	PUNCT
ejpam-2465	347	9	x	x	PUNCT
ejpam-2465	347	10	∈	∈	PROPN
ejpam-2465	347	11	bk	bk	PRON
ejpam-2465	347	12	}	}	PUNCT
ejpam-2465	347	13	is	be	AUX
ejpam-2465	347	14	relatively	relatively	ADV
ejpam-2465	347	15	compact	compact	ADJ
ejpam-2465	347	16	in	in	ADP
ejpam-2465	347	17	e.	e.	PROPN
ejpam-2465	347	18	moreover	moreover	ADV
ejpam-2465	347	19	,	,	PUNCT
ejpam-2465	347	20	{	{	PUNCT
ejpam-2465	347	21	(	(	PUNCT
ejpam-2465	347	22	f	f	PROPN
ejpam-2465	347	23	x)(t	x)(t	PROPN
ejpam-2465	347	24	)	)	PUNCT
ejpam-2465	347	25	,	,	PUNCT
ejpam-2465	347	26	x	x	PUNCT
ejpam-2465	347	27	∈	∈	PROPN
ejpam-2465	347	28	bk	bk	AUX
ejpam-2465	347	29	}	}	PUNCT
ejpam-2465	347	30	is	be	AUX
ejpam-2465	347	31	uniformly	uniformly	ADV
ejpam-2465	347	32	bounded	bound	VERB
ejpam-2465	347	33	by	by	ADP
ejpam-2465	347	34	(	(	PUNCT
ejpam-2465	347	35	8)	8)	NUM
ejpam-2465	347	36	.	.	PUNCT
ejpam-2465	348	1	therefore	therefore	ADV
ejpam-2465	348	2	,	,	PUNCT
ejpam-2465	348	3	{	{	PUNCT
ejpam-2465	348	4	(	(	PUNCT
ejpam-2465	348	5	f	f	PROPN
ejpam-2465	348	6	x)(t	x)(t	PROPN
ejpam-2465	348	7	)	)	PUNCT
ejpam-2465	348	8	,	,	PUNCT
ejpam-2465	348	9	x	x	PUNCT
ejpam-2465	348	10	∈	∈	PROPN
ejpam-2465	348	11	bk	bk	PRON
ejpam-2465	348	12	}	}	PUNCT
ejpam-2465	348	13	is	be	AUX
ejpam-2465	348	14	relatively	relatively	ADV
ejpam-2465	348	15	compact	compact	ADJ
ejpam-2465	348	16	by	by	ADP
ejpam-2465	348	17	ascoli	ascoli	NOUN
ejpam-2465	348	18	-	-	PUNCT
ejpam-2465	348	19	arzèla	arzèla	NOUN
ejpam-2465	348	20	theorem	theorem	PROPN
ejpam-2465	348	21	.	.	PUNCT
ejpam-2465	349	1	also	also	ADV
ejpam-2465	349	2	,	,	PUNCT
ejpam-2465	349	3	since	since	SCONJ
ejpam-2465	349	4	f	f	PROPN
ejpam-2465	349	5	is	be	AUX
ejpam-2465	349	6	continuous	continuous	ADJ
ejpam-2465	349	7	on	on	ADP
ejpam-2465	349	8	bk	bk	PRON
ejpam-2465	349	9	.	.	PUNCT
ejpam-2465	350	1	then	then	ADV
ejpam-2465	350	2	f	f	PROPN
ejpam-2465	350	3	is	be	AUX
ejpam-2465	350	4	a	a	DET
ejpam-2465	350	5	completely	completely	ADV
ejpam-2465	350	6	continuous	continuous	ADJ
ejpam-2465	350	7	operator	operator	NOUN
ejpam-2465	350	8	.	.	PUNCT
ejpam-2465	351	1	obviously	obviously	ADV
ejpam-2465	351	2	f	f	PROPN
ejpam-2465	351	3	maps	map	NOUN
ejpam-2465	351	4	bk	bk	NOUN
ejpam-2465	351	5	into	into	ADP
ejpam-2465	351	6	itself	itself	PRON
ejpam-2465	351	7	.	.	PUNCT
ejpam-2465	352	1	hence	hence	ADV
ejpam-2465	352	2	,	,	PUNCT
ejpam-2465	352	3	schauder	schauder	NOUN
ejpam-2465	352	4	fixed	fix	VERB
ejpam-2465	352	5	point	point	NOUN
ejpam-2465	352	6	theorem	theorem	NOUN
ejpam-2465	352	7	shows	show	VERB
ejpam-2465	352	8	that	that	SCONJ
ejpam-2465	352	9	f	f	PROPN
ejpam-2465	352	10	has	have	VERB
ejpam-2465	352	11	a	a	DET
ejpam-2465	352	12	fixed	fix	VERB
ejpam-2465	352	13	point	point	NOUN
ejpam-2465	352	14	x	x	X
ejpam-2465	352	15	∈	∈	NOUN
ejpam-2465	352	16	bk	bk	NOUN
ejpam-2465	352	17	,	,	PUNCT
ejpam-2465	352	18	which	which	PRON
ejpam-2465	352	19	means	mean	VERB
ejpam-2465	352	20	that	that	SCONJ
ejpam-2465	352	21	the	the	DET
ejpam-2465	352	22	nonlocal	nonlocal	ADJ
ejpam-2465	352	23	cauchy	cauchy	ADJ
ejpam-2465	352	24	problem	problem	NOUN
ejpam-2465	352	25	(	(	PUNCT
ejpam-2465	352	26	1	1	X
ejpam-2465	352	27	)	)	PUNCT
ejpam-2465	352	28	has	have	VERB
ejpam-2465	352	29	at	at	ADV
ejpam-2465	352	30	least	least	ADV
ejpam-2465	352	31	one	one	NUM
ejpam-2465	352	32	mild	mild	ADJ
ejpam-2465	352	33	solution	solution	NOUN
ejpam-2465	352	34	on	on	ADP
ejpam-2465	352	35	j	j	PROPN
ejpam-2465	352	36	.	.	PUNCT
ejpam-2465	353	1	the	the	DET
ejpam-2465	353	2	proof	proof	NOUN
ejpam-2465	353	3	is	be	AUX
ejpam-2465	353	4	complete	complete	ADJ
ejpam-2465	353	5	.	.	PUNCT
ejpam-2465	354	1	the	the	DET
ejpam-2465	354	2	following	follow	VERB
ejpam-2465	354	3	existence	existence	NOUN
ejpam-2465	354	4	and	and	CCONJ
ejpam-2465	354	5	uniqueness	uniqueness	NOUN
ejpam-2465	354	6	result	result	NOUN
ejpam-2465	354	7	for	for	ADP
ejpam-2465	354	8	the	the	DET
ejpam-2465	354	9	nonlocal	nonlocal	ADJ
ejpam-2465	354	10	cauchy	cauchy	ADJ
ejpam-2465	354	11	problem	problem	NOUN
ejpam-2465	354	12	(	(	PUNCT
ejpam-2465	354	13	1	1	X
ejpam-2465	354	14	)	)	PUNCT
ejpam-2465	354	15	is	be	AUX
ejpam-2465	354	16	based	base	VERB
ejpam-2465	354	17	on	on	ADP
ejpam-2465	354	18	banach	banach	NOUN
ejpam-2465	354	19	contraction	contraction	NOUN
ejpam-2465	354	20	principle	principle	NOUN
ejpam-2465	354	21	.	.	PUNCT
ejpam-2465	355	1	we	we	PRON
ejpam-2465	355	2	will	will	AUX
ejpam-2465	355	3	need	need	VERB
ejpam-2465	355	4	the	the	DET
ejpam-2465	355	5	following	following	ADJ
ejpam-2465	355	6	assumption	assumption	NOUN
ejpam-2465	355	7	.	.	PUNCT
ejpam-2465	356	1	(	(	PUNCT
ejpam-2465	356	2	h4	h4	PROPN
ejpam-2465	356	3	)	)	PUNCT
ejpam-2465	356	4	there	there	PRON
ejpam-2465	356	5	exists	exist	VERB
ejpam-2465	356	6	a	a	DET
ejpam-2465	356	7	positive	positive	ADJ
ejpam-2465	356	8	constant	constant	ADJ
ejpam-2465	356	9	l	l	NOUN
ejpam-2465	356	10	f	f	NOUN
ejpam-2465	356	11	such	such	ADJ
ejpam-2465	356	12	that	that	PRON
ejpam-2465	356	13	for	for	ADP
ejpam-2465	356	14	any	any	DET
ejpam-2465	356	15	x	x	SYM
ejpam-2465	356	16	,	,	PUNCT
ejpam-2465	356	17	x∗	x∗	PROPN
ejpam-2465	356	18	,	,	PUNCT
ejpam-2465	356	19	y	y	PROPN
ejpam-2465	356	20	,	,	PUNCT
ejpam-2465	356	21	y∗	y∗	PROPN
ejpam-2465	356	22	∈	∈	PROPN
ejpam-2465	356	23	c(j	c(j	PROPN
ejpam-2465	356	24	,	,	PUNCT
ejpam-2465	356	25	bk	bk	PROPN
ejpam-2465	356	26	)	)	PUNCT
ejpam-2465	356	27	,	,	PUNCT
ejpam-2465	356	28	we	we	PRON
ejpam-2465	356	29	have	have	VERB
ejpam-2465	356	30	|	|	ADV
ejpam-2465	356	31	f	f	X
ejpam-2465	356	32	(	(	PUNCT
ejpam-2465	356	33	t	t	PROPN
ejpam-2465	356	34	,	,	PUNCT
ejpam-2465	356	35	x	x	X
ejpam-2465	356	36	,	,	PUNCT
ejpam-2465	356	37	x∗)−	x∗)−	PRON
ejpam-2465	356	38	f	f	PROPN
ejpam-2465	356	39	(	(	PUNCT
ejpam-2465	356	40	t	t	PROPN
ejpam-2465	356	41	,	,	PUNCT
ejpam-2465	356	42	y	y	PROPN
ejpam-2465	356	43	,	,	PUNCT
ejpam-2465	356	44	y∗)|	y∗)|	ADJ
ejpam-2465	356	45	≤	≤	PUNCT
ejpam-2465	357	1	l	l	NOUN
ejpam-2465	357	2	f	f	X
ejpam-2465	357	3	(	(	PUNCT
ejpam-2465	357	4	‖x	‖x	NOUN
ejpam-2465	357	5	−	−	PROPN
ejpam-2465	358	1	y‖+	y‖+	PROPN
ejpam-2465	358	2	‖x∗	‖x∗	PUNCT
ejpam-2465	359	1	−	−	PROPN
ejpam-2465	360	1	y∗)‖	y∗)‖	PROPN
ejpam-2465	360	2	,	,	PUNCT
ejpam-2465	360	3	for	for	ADP
ejpam-2465	360	4	t	t	PROPN
ejpam-2465	360	5	∈	∈	PROPN
ejpam-2465	360	6	j	j	PROPN
ejpam-2465	360	7	,	,	PUNCT
ejpam-2465	360	8	where	where	SCONJ
ejpam-2465	360	9	k	k	PROPN
ejpam-2465	360	10	is	be	AUX
ejpam-2465	360	11	defined	define	VERB
ejpam-2465	360	12	as	as	ADP
ejpam-2465	360	13	in	in	ADP
ejpam-2465	360	14	(	(	PUNCT
ejpam-2465	360	15	7	7	NUM
ejpam-2465	360	16	)	)	PUNCT
ejpam-2465	360	17	.	.	PUNCT
ejpam-2465	361	1	theorem	theorem	NOUN
ejpam-2465	361	2	3	3	X
ejpam-2465	361	3	.	.	PUNCT
ejpam-2465	362	1	if	if	SCONJ
ejpam-2465	362	2	assumptions	assumption	NOUN
ejpam-2465	362	3	(	(	PUNCT
ejpam-2465	362	4	h2)−(h4	h2)−(h4	NOUN
ejpam-2465	362	5	)	)	PUNCT
ejpam-2465	362	6	are	be	AUX
ejpam-2465	362	7	satisfied	satisfied	ADJ
ejpam-2465	362	8	,	,	PUNCT
ejpam-2465	362	9	then	then	ADV
ejpam-2465	362	10	the	the	DET
ejpam-2465	362	11	nonlocal	nonlocal	ADJ
ejpam-2465	362	12	cauchy	cauchy	ADJ
ejpam-2465	362	13	problem	problem	NOUN
ejpam-2465	362	14	(	(	PUNCT
ejpam-2465	362	15	1	1	X
ejpam-2465	362	16	)	)	PUNCT
ejpam-2465	362	17	has	have	VERB
ejpam-2465	362	18	a	a	DET
ejpam-2465	362	19	unique	unique	ADJ
ejpam-2465	362	20	mild	mild	ADJ
ejpam-2465	362	21	solution	solution	NOUN
ejpam-2465	362	22	provided	provide	VERB
ejpam-2465	362	23	that	that	SCONJ
ejpam-2465	362	24	�	�	PROPN
ejpam-2465	362	25	m	m	PROPN
ejpam-2465	362	26	l	l	NOUN
ejpam-2465	363	1	+	+	CCONJ
ejpam-2465	363	2	αm	αm	NOUN
ejpam-2465	363	3	l	l	NOUN
ejpam-2465	363	4	f	f	X
ejpam-2465	364	1	γ(α+	γ(α+	DET
ejpam-2465	364	2	1	1	NUM
ejpam-2465	364	3	)	)	PUNCT
ejpam-2465	364	4	�	�	PROPN
ejpam-2465	364	5	bα	bα	NOUN
ejpam-2465	364	6	α	α	NOUN
ejpam-2465	364	7	+	+	CCONJ
ejpam-2465	364	8	γ(α)bα+β	γ(α)bα+β	NOUN
ejpam-2465	364	9	γ(α+	γ(α+	PRON
ejpam-2465	364	10	β	β	X
ejpam-2465	364	11	)	)	PUNCT
ejpam-2465	364	12	�	�	PROPN
ejpam-2465	364	13	�	�	PROPN
ejpam-2465	364	14	<	<	X
ejpam-2465	364	15	1	1	NUM
ejpam-2465	364	16	.	.	PUNCT
ejpam-2465	365	1	(	(	PUNCT
ejpam-2465	365	2	9	9	X
ejpam-2465	365	3	)	)	PUNCT
ejpam-2465	365	4	proof	proof	NOUN
ejpam-2465	365	5	.	.	PUNCT
ejpam-2465	366	1	it	it	PRON
ejpam-2465	366	2	is	be	AUX
ejpam-2465	366	3	easy	easy	ADJ
ejpam-2465	366	4	to	to	PART
ejpam-2465	366	5	see	see	VERB
ejpam-2465	366	6	that	that	DET
ejpam-2465	366	7	∫∞	∫∞	NOUN
ejpam-2465	366	8	0	0	NUM
ejpam-2465	366	9	ξα(θ	ξα(θ	NUM
ejpam-2465	366	10	)	)	PUNCT
ejpam-2465	367	1	q(t	q(t	ADJ
ejpam-2465	367	2	αθ	αθ	NOUN
ejpam-2465	367	3	)	)	PUNCT
ejpam-2465	367	4	(	(	PUNCT
ejpam-2465	367	5	x0	x0	PROPN
ejpam-2465	367	6	−	−	PROPN
ejpam-2465	367	7	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	367	8	exists	exist	VERB
ejpam-2465	367	9	and	and	CCONJ
ejpam-2465	367	10	∫	∫	PROPN
ejpam-2465	367	11	t	t	PROPN
ejpam-2465	367	12	0	0	NUM
ejpam-2465	367	13	∫	∫	PROPN
ejpam-2465	367	14	∞	∞	NUM
ejpam-2465	367	15	0	0	NUM
ejpam-2465	367	16	θ	θ	PROPN
ejpam-2465	367	17	(	(	PUNCT
ejpam-2465	367	18	t	t	NOUN
ejpam-2465	367	19	−	−	PROPN
ejpam-2465	367	20	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	367	21	)	)	PUNCT
ejpam-2465	367	22	q((t	q((t	NOUN
ejpam-2465	368	1	−	−	PROPN
ejpam-2465	368	2	s)αθ	s)αθ	PROPN
ejpam-2465	368	3	)	)	PUNCT
ejpam-2465	368	4	f	f	PROPN
ejpam-2465	368	5	(	(	PUNCT
ejpam-2465	368	6	s	s	PROPN
ejpam-2465	368	7	,	,	PUNCT
ejpam-2465	368	8	x(s	x(s	PROPN
ejpam-2465	368	9	)	)	PUNCT
ejpam-2465	368	10	,	,	PUNCT
ejpam-2465	368	11	iβ	iβ	ADP
ejpam-2465	368	12	x(s))dθds	x(s))dθds	PROPN
ejpam-2465	368	13	bochner	bochner	NOUN
ejpam-2465	368	14	’s	’s	PART
ejpam-2465	368	15	integrable	integrable	ADJ
ejpam-2465	368	16	with	with	ADP
ejpam-2465	368	17	respect	respect	NOUN
ejpam-2465	368	18	to	to	ADP
ejpam-2465	368	19	s	s	X
ejpam-2465	368	20	∈	∈	PROPN
ejpam-2465	369	1	[	[	X
ejpam-2465	369	2	0	0	NUM
ejpam-2465	369	3	,	,	PUNCT
ejpam-2465	369	4	t	t	PROPN
ejpam-2465	369	5	]	]	PUNCT
ejpam-2465	369	6	for	for	ADP
ejpam-2465	369	7	all	all	DET
ejpam-2465	369	8	t	t	NOUN
ejpam-2465	369	9	∈	∈	PROPN
ejpam-2465	369	10	j	j	PROPN
ejpam-2465	369	11	.	.	PUNCT
ejpam-2465	370	1	for	for	ADP
ejpam-2465	370	2	x	x	PROPN
ejpam-2465	370	3	∈	∈	PROPN
ejpam-2465	370	4	bk	bk	PROPN
ejpam-2465	370	5	,	,	PUNCT
ejpam-2465	370	6	consider	consider	VERB
ejpam-2465	370	7	the	the	DET
ejpam-2465	370	8	operator	operator	NOUN
ejpam-2465	370	9	f	f	X
ejpam-2465	370	10	on	on	ADP
ejpam-2465	370	11	bk	bk	PRON
ejpam-2465	370	12	which	which	PRON
ejpam-2465	370	13	is	be	AUX
ejpam-2465	370	14	given	give	VERB
ejpam-2465	370	15	by	by	ADP
ejpam-2465	370	16	(	(	PUNCT
ejpam-2465	370	17	6	6	NUM
ejpam-2465	370	18	)	)	PUNCT
ejpam-2465	370	19	.	.	PUNCT
ejpam-2465	371	1	obviously	obviously	ADV
ejpam-2465	371	2	,	,	PUNCT
ejpam-2465	371	3	it	it	PRON
ejpam-2465	371	4	is	be	AUX
ejpam-2465	371	5	sufficient	sufficient	ADJ
ejpam-2465	371	6	to	to	PART
ejpam-2465	371	7	proof	proof	VERB
ejpam-2465	371	8	that	that	SCONJ
ejpam-2465	371	9	f	f	PROPN
ejpam-2465	371	10	has	have	VERB
ejpam-2465	371	11	a	a	DET
ejpam-2465	371	12	unique	unique	ADJ
ejpam-2465	371	13	fixed	fix	VERB
ejpam-2465	371	14	point	point	NOUN
ejpam-2465	371	15	on	on	ADP
ejpam-2465	371	16	bk	bk	NOUN
ejpam-2465	371	17	.	.	PUNCT
ejpam-2465	372	1	according	accord	VERB
ejpam-2465	372	2	to	to	ADP
ejpam-2465	372	3	(	(	PUNCT
ejpam-2465	372	4	8)	8)	NUM
ejpam-2465	372	5	,	,	PUNCT
ejpam-2465	372	6	we	we	PRON
ejpam-2465	372	7	know	know	VERB
ejpam-2465	372	8	that	that	SCONJ
ejpam-2465	372	9	f	f	PROPN
ejpam-2465	372	10	is	be	AUX
ejpam-2465	372	11	an	an	DET
ejpam-2465	372	12	operator	operator	NOUN
ejpam-2465	372	13	from	from	ADP
ejpam-2465	372	14	bk	bk	NOUN
ejpam-2465	372	15	into	into	ADP
ejpam-2465	372	16	itself	itself	PRON
ejpam-2465	372	17	.	.	PUNCT
ejpam-2465	373	1	for	for	ADP
ejpam-2465	373	2	any	any	DET
ejpam-2465	373	3	x	x	SYM
ejpam-2465	373	4	,	,	PUNCT
ejpam-2465	373	5	y	y	PROPN
ejpam-2465	373	6	∈	∈	PROPN
ejpam-2465	373	7	bk	bk	PROPN
ejpam-2465	373	8	and	and	CCONJ
ejpam-2465	373	9	t	t	PROPN
ejpam-2465	373	10	∈	∈	PROPN
ejpam-2465	373	11	j	j	PROPN
ejpam-2465	373	12	,	,	PUNCT
ejpam-2465	373	13	according	accord	VERB
ejpam-2465	373	14	to	to	ADP
ejpam-2465	373	15	(	(	PUNCT
ejpam-2465	373	16	h3	h3	NOUN
ejpam-2465	373	17	)	)	PUNCT
ejpam-2465	373	18	,	,	PUNCT
ejpam-2465	373	19	(	(	PUNCT
ejpam-2465	373	20	h4	h4	PROPN
ejpam-2465	373	21	)	)	PUNCT
ejpam-2465	373	22	and	and	CCONJ
ejpam-2465	373	23	(	(	PUNCT
ejpam-2465	373	24	2	2	NUM
ejpam-2465	373	25	)	)	PUNCT
ejpam-2465	373	26	,	,	PUNCT
ejpam-2465	373	27	we	we	PRON
ejpam-2465	373	28	have	have	VERB
ejpam-2465	373	29	|(f	|(f	PROPN
ejpam-2465	373	30	x)(t)−	x)(t)−	X
ejpam-2465	373	31	(	(	PUNCT
ejpam-2465	373	32	f	f	PROPN
ejpam-2465	373	33	y)(t)|	y)(t)|	PROPN
ejpam-2465	373	34	≤	≤	PROPN
ejpam-2465	373	35	�	�	PROPN
ejpam-2465	373	36	�	�	PROPN
ejpam-2465	373	37	�	�	PROPN
ejpam-2465	373	38	�	�	PROPN
ejpam-2465	373	39	�	�	PROPN
ejpam-2465	373	40	∫	∫	PROPN
ejpam-2465	373	41	∞	∞	PROPN
ejpam-2465	373	42	0	0	NUM
ejpam-2465	373	43	ξα(θ	ξα(θ	NUM
ejpam-2465	373	44	)	)	PUNCT
ejpam-2465	373	45	q(t	q(t	ADJ
ejpam-2465	373	46	αθ	αθ	NOUN
ejpam-2465	373	47	)	)	PUNCT
ejpam-2465	373	48	(	(	PUNCT
ejpam-2465	373	49	g(y)−	g(y)−	INTJ
ejpam-2465	373	50	g(x))dθ	g(x))dθ	PROPN
ejpam-2465	373	51	�	�	PROPN
ejpam-2465	373	52	�	�	PROPN
ejpam-2465	373	53	�	�	PROPN
ejpam-2465	373	54	�	�	PROPN
ejpam-2465	373	55	�	�	PROPN
ejpam-2465	373	56	m.	m.	NOUN
ejpam-2465	373	57	abbas	abbas	PROPN
ejpam-2465	373	58	/	/	SYM
ejpam-2465	373	59	eur	eur	PROPN
ejpam-2465	373	60	.	.	PUNCT
ejpam-2465	374	1	j.	j.	PROPN
ejpam-2465	374	2	pure	pure	PROPN
ejpam-2465	374	3	appl	appl	PROPN
ejpam-2465	374	4	.	.	PROPN
ejpam-2465	374	5	math	math	PROPN
ejpam-2465	374	6	,	,	PUNCT
ejpam-2465	374	7	8	8	NUM
ejpam-2465	374	8	(	(	PUNCT
ejpam-2465	374	9	2015	2015	NUM
ejpam-2465	374	10	)	)	PUNCT
ejpam-2465	374	11	,	,	PUNCT
ejpam-2465	374	12	478	478	NUM
ejpam-2465	374	13	-	-	SYM
ejpam-2465	374	14	498	498	NUM
ejpam-2465	374	15	492	492	NUM
ejpam-2465	375	1	+	+	ADJ
ejpam-2465	375	2	α	α	PROPN
ejpam-2465	375	3	�	�	PROPN
ejpam-2465	375	4	�	�	PROPN
ejpam-2465	375	5	�	�	PROPN
ejpam-2465	375	6	�	�	PROPN
ejpam-2465	375	7	�	�	PROPN
ejpam-2465	375	8	∫	∫	PROPN
ejpam-2465	375	9	t	t	PROPN
ejpam-2465	375	10	0	0	NUM
ejpam-2465	375	11	∫	∫	PROPN
ejpam-2465	376	1	∞	∞	NUM
ejpam-2465	376	2	0	0	NUM
ejpam-2465	376	3	θ	θ	PROPN
ejpam-2465	376	4	(	(	PUNCT
ejpam-2465	376	5	t	t	NOUN
ejpam-2465	376	6	−	−	PROPN
ejpam-2465	376	7	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	376	8	)	)	PUNCT
ejpam-2465	376	9	q((t	q((t	NOUN
ejpam-2465	377	1	−	−	PROPN
ejpam-2465	378	1	s)αθ	s)αθ	NOUN
ejpam-2465	378	2	)	)	PUNCT
ejpam-2465	378	3	[	[	PUNCT
ejpam-2465	378	4	f	f	X
ejpam-2465	378	5	(	(	PUNCT
ejpam-2465	378	6	s	s	PROPN
ejpam-2465	378	7	,	,	PUNCT
ejpam-2465	378	8	x(s	x(s	PROPN
ejpam-2465	378	9	)	)	PUNCT
ejpam-2465	378	10	,	,	PUNCT
ejpam-2465	378	11	iβ	iβ	ADP
ejpam-2465	378	12	x(s))−	x(s))−	PROPN
ejpam-2465	378	13	f	f	PROPN
ejpam-2465	378	14	(	(	PUNCT
ejpam-2465	378	15	s	s	PROPN
ejpam-2465	378	16	,	,	PUNCT
ejpam-2465	378	17	y(s	y(s	PROPN
ejpam-2465	378	18	)	)	PUNCT
ejpam-2465	378	19	,	,	PUNCT
ejpam-2465	378	20	iβ	iβ	ADP
ejpam-2465	378	21	y(s))]dθds	y(s))]dθds	PROPN
ejpam-2465	378	22	�	�	PROPN
ejpam-2465	378	23	�	�	PROPN
ejpam-2465	378	24	�	�	PROPN
ejpam-2465	378	25	�	�	PROPN
ejpam-2465	378	26	�	�	PROPN
ejpam-2465	378	27	≤m	≤m	PROPN
ejpam-2465	378	28	l‖x	l‖x	PROPN
ejpam-2465	378	29	−	−	PROPN
ejpam-2465	378	30	y‖	y‖	PROPN
ejpam-2465	378	31	+	+	CCONJ
ejpam-2465	378	32	αm	αm	NOUN
ejpam-2465	378	33	l	l	X
ejpam-2465	378	34	f	f	X
ejpam-2465	379	1	γ(α+	γ(α+	DET
ejpam-2465	379	2	1	1	NUM
ejpam-2465	379	3	)	)	PUNCT
ejpam-2465	379	4	�	�	PROPN
ejpam-2465	379	5	∫	∫	PROPN
ejpam-2465	379	6	t	t	PROPN
ejpam-2465	379	7	0	0	NUM
ejpam-2465	379	8	(	(	PUNCT
ejpam-2465	379	9	t	t	NOUN
ejpam-2465	379	10	−	−	PROPN
ejpam-2465	379	11	s)α−1|x(s)−	s)α−1|x(s)−	VERB
ejpam-2465	379	12	y(s)|ds+	y(s)|ds+	PROPN
ejpam-2465	379	13	∫	∫	PROPN
ejpam-2465	379	14	t	t	NOUN
ejpam-2465	379	15	0	0	NUM
ejpam-2465	380	1	(	(	PUNCT
ejpam-2465	380	2	t	t	PROPN
ejpam-2465	380	3	−	−	PROPN
ejpam-2465	380	4	s)α−1	s)α−1	VERB
ejpam-2465	380	5	∫	∫	PROPN
ejpam-2465	380	6	s	s	PART
ejpam-2465	380	7	0	0	NUM
ejpam-2465	380	8	(	(	PUNCT
ejpam-2465	380	9	s−τ)β−1	s−τ)β−1	VERB
ejpam-2465	380	10	γ(β	γ(β	PROPN
ejpam-2465	380	11	)	)	PUNCT
ejpam-2465	380	12	|x(τ)−	|x(τ)−	PROPN
ejpam-2465	380	13	y(τ)|dτds	y(τ)|dτds	PROPN
ejpam-2465	380	14	�	�	PROPN
ejpam-2465	380	15	.	.	PUNCT
ejpam-2465	381	1	by	by	ADP
ejpam-2465	381	2	changing	change	VERB
ejpam-2465	381	3	the	the	DET
ejpam-2465	381	4	order	order	NOUN
ejpam-2465	381	5	of	of	ADP
ejpam-2465	381	6	the	the	DET
ejpam-2465	381	7	second	second	ADJ
ejpam-2465	381	8	integral	integral	ADJ
ejpam-2465	381	9	,	,	PUNCT
ejpam-2465	381	10	we	we	PRON
ejpam-2465	381	11	get	get	VERB
ejpam-2465	381	12	∫	∫	PROPN
ejpam-2465	381	13	t	t	PROPN
ejpam-2465	381	14	0	0	NUM
ejpam-2465	382	1	∫	∫	PROPN
ejpam-2465	382	2	s	s	PART
ejpam-2465	382	3	0	0	NUM
ejpam-2465	382	4	(	(	PUNCT
ejpam-2465	382	5	t	t	PROPN
ejpam-2465	382	6	−	−	PROPN
ejpam-2465	382	7	s)α−1(s−τ)β−1|x(τ)−	s)α−1(s−τ)β−1|x(τ)−	PROPN
ejpam-2465	382	8	y(τ)|dτds	y(τ)|dτd	NOUN
ejpam-2465	382	9	=	=	PUNCT
ejpam-2465	382	10	∫	∫	PROPN
ejpam-2465	382	11	t	t	PROPN
ejpam-2465	382	12	0	0	NUM
ejpam-2465	383	1	∫	∫	PROPN
ejpam-2465	383	2	t	t	PROPN
ejpam-2465	383	3	τ	τ	PROPN
ejpam-2465	383	4	(	(	PUNCT
ejpam-2465	383	5	t	t	PROPN
ejpam-2465	383	6	−	−	PROPN
ejpam-2465	383	7	s)α−1(s−τ)β−1|x(τ)−	s)α−1(s−τ)β−1|x(τ)−	PROPN
ejpam-2465	383	8	y(τ)|dsdτ	y(τ)|dsdτ	PROPN
ejpam-2465	383	9	=	=	SYM
ejpam-2465	383	10	γ(α)γ(β	γ(α)γ(β	PROPN
ejpam-2465	383	11	)	)	PUNCT
ejpam-2465	383	12	γ(α+	γ(α+	X
ejpam-2465	383	13	β	β	X
ejpam-2465	383	14	)	)	PUNCT
ejpam-2465	383	15	∫	∫	PROPN
ejpam-2465	384	1	t	t	PROPN
ejpam-2465	384	2	0	0	NUM
ejpam-2465	384	3	(	(	PUNCT
ejpam-2465	384	4	t	t	NOUN
ejpam-2465	384	5	−τ)α+β−1|x(τ)−	−τ)α+β−1|x(τ)−	PROPN
ejpam-2465	384	6	y(τ)|dτ	y(τ)|dτ	PROPN
ejpam-2465	384	7	=	=	SYM
ejpam-2465	384	8	γ(α)γ(β	γ(α)γ(β	X
ejpam-2465	384	9	)	)	PUNCT
ejpam-2465	384	10	γ(α+	γ(α+	X
ejpam-2465	384	11	β	β	X
ejpam-2465	384	12	)	)	PUNCT
ejpam-2465	384	13	∫	∫	PROPN
ejpam-2465	385	1	t	t	PROPN
ejpam-2465	385	2	0	0	NUM
ejpam-2465	385	3	(	(	PUNCT
ejpam-2465	385	4	t	t	PROPN
ejpam-2465	385	5	−	−	PROPN
ejpam-2465	385	6	s)α+β−1|x(s)−	s)α+β−1|x(s)−	PRON
ejpam-2465	385	7	y(s)|ds	y(s)|ds	PROPN
ejpam-2465	385	8	.	.	PUNCT
ejpam-2465	386	1	therefore	therefore	ADV
ejpam-2465	386	2	,	,	PUNCT
ejpam-2465	386	3	we	we	PRON
ejpam-2465	386	4	get	get	VERB
ejpam-2465	386	5	|(f	|(f	PROPN
ejpam-2465	386	6	x)(t)−	x)(t)−	X
ejpam-2465	386	7	(	(	PUNCT
ejpam-2465	386	8	f	f	PROPN
ejpam-2465	386	9	y)(t)|	y)(t)|	ADJ
ejpam-2465	386	10	≤m	≤m	PROPN
ejpam-2465	386	11	l‖x	l‖x	NOUN
ejpam-2465	387	1	−	−	PROPN
ejpam-2465	388	1	y‖	y‖	PROPN
ejpam-2465	389	1	+	+	CCONJ
ejpam-2465	390	1	αm	αm	NOUN
ejpam-2465	390	2	l	l	X
ejpam-2465	390	3	f	f	X
ejpam-2465	391	1	γ(α+	γ(α+	DET
ejpam-2465	391	2	1	1	NUM
ejpam-2465	391	3	)	)	PUNCT
ejpam-2465	391	4	�	�	PROPN
ejpam-2465	391	5	∫	∫	PROPN
ejpam-2465	391	6	t	t	PROPN
ejpam-2465	391	7	0	0	NUM
ejpam-2465	391	8	(	(	PUNCT
ejpam-2465	391	9	t	t	PROPN
ejpam-2465	391	10	−	−	PROPN
ejpam-2465	391	11	s)α−1ds+	s)α−1ds+	PROPN
ejpam-2465	391	12	γ(α	γ(α	PROPN
ejpam-2465	391	13	)	)	PUNCT
ejpam-2465	391	14	γ(α+	γ(α+	X
ejpam-2465	391	15	β	β	X
ejpam-2465	391	16	)	)	PUNCT
ejpam-2465	391	17	∫	∫	PROPN
ejpam-2465	391	18	t	t	PROPN
ejpam-2465	391	19	0	0	NUM
ejpam-2465	392	1	(	(	PUNCT
ejpam-2465	392	2	t	t	NOUN
ejpam-2465	392	3	−	−	PROPN
ejpam-2465	392	4	s)α+β−1ds	s)α+β−1ds	PROPN
ejpam-2465	392	5	�	�	PROPN
ejpam-2465	392	6	‖x	‖x	PUNCT
ejpam-2465	392	7	−	−	PROPN
ejpam-2465	393	1	y‖	y‖	PROPN
ejpam-2465	393	2	≤m	≤m	PROPN
ejpam-2465	393	3	l‖x	l‖x	PROPN
ejpam-2465	393	4	−	−	PROPN
ejpam-2465	394	1	y‖+	y‖+	INTJ
ejpam-2465	394	2	αm	αm	NOUN
ejpam-2465	394	3	l	l	NOUN
ejpam-2465	394	4	f	f	PROPN
ejpam-2465	395	1	γ(α+	γ(α+	DET
ejpam-2465	395	2	1	1	NUM
ejpam-2465	395	3	)	)	PUNCT
ejpam-2465	395	4	�	�	PROPN
ejpam-2465	395	5	bα	bα	NOUN
ejpam-2465	395	6	α	α	NOUN
ejpam-2465	395	7	+	+	CCONJ
ejpam-2465	395	8	γ(α)bα+β	γ(α)bα+β	NOUN
ejpam-2465	395	9	γ(α+	γ(α+	PRON
ejpam-2465	395	10	β	β	X
ejpam-2465	395	11	)	)	PUNCT
ejpam-2465	395	12	�	�	PROPN
ejpam-2465	395	13	‖x	‖x	PUNCT
ejpam-2465	395	14	−	−	PROPN
ejpam-2465	395	15	y‖.	y‖.	NUM
ejpam-2465	395	16	thus	thus	ADV
ejpam-2465	395	17	‖f	‖f	ADP
ejpam-2465	396	1	x	x	X
ejpam-2465	396	2	−	−	PROPN
ejpam-2465	396	3	f	f	PROPN
ejpam-2465	396	4	y‖	y‖	PROPN
ejpam-2465	396	5	≤	≤	PUNCT
ejpam-2465	396	6	�	�	PROPN
ejpam-2465	396	7	m	m	PROPN
ejpam-2465	396	8	l	l	NOUN
ejpam-2465	397	1	+	+	CCONJ
ejpam-2465	397	2	αm	αm	NOUN
ejpam-2465	397	3	l	l	NOUN
ejpam-2465	397	4	f	f	X
ejpam-2465	398	1	γ(α+	γ(α+	DET
ejpam-2465	398	2	1	1	NUM
ejpam-2465	398	3	)	)	PUNCT
ejpam-2465	398	4	�	�	PROPN
ejpam-2465	398	5	bα	bα	NOUN
ejpam-2465	398	6	α	α	NOUN
ejpam-2465	398	7	+	+	CCONJ
ejpam-2465	398	8	γ(α)bα+β	γ(α)bα+β	NOUN
ejpam-2465	398	9	γ(α+	γ(α+	PRON
ejpam-2465	398	10	β	β	X
ejpam-2465	398	11	)	)	PUNCT
ejpam-2465	398	12	�	�	PROPN
ejpam-2465	398	13	�	�	PROPN
ejpam-2465	398	14	‖x	‖x	PUNCT
ejpam-2465	398	15	−	−	PROPN
ejpam-2465	398	16	y‖.	y‖.	NUM
ejpam-2465	398	17	which	which	PRON
ejpam-2465	398	18	means	mean	VERB
ejpam-2465	398	19	that	that	SCONJ
ejpam-2465	398	20	f	f	PROPN
ejpam-2465	398	21	is	be	AUX
ejpam-2465	398	22	a	a	DET
ejpam-2465	398	23	contraction	contraction	NOUN
ejpam-2465	398	24	according	accord	VERB
ejpam-2465	398	25	to	to	ADP
ejpam-2465	398	26	(	(	PUNCT
ejpam-2465	398	27	9	9	NUM
ejpam-2465	398	28	)	)	PUNCT
ejpam-2465	398	29	.	.	PUNCT
ejpam-2465	399	1	by	by	ADP
ejpam-2465	399	2	applying	apply	VERB
ejpam-2465	399	3	banach	banach	NOUN
ejpam-2465	399	4	contraction	contraction	NOUN
ejpam-2465	399	5	principle	principle	NOUN
ejpam-2465	399	6	,	,	PUNCT
ejpam-2465	399	7	we	we	PRON
ejpam-2465	399	8	know	know	VERB
ejpam-2465	399	9	that	that	SCONJ
ejpam-2465	399	10	f	f	PROPN
ejpam-2465	399	11	has	have	VERB
ejpam-2465	399	12	a	a	DET
ejpam-2465	399	13	unique	unique	ADJ
ejpam-2465	399	14	fixed	fix	VERB
ejpam-2465	399	15	point	point	NOUN
ejpam-2465	399	16	on	on	ADP
ejpam-2465	399	17	bk	bk	NOUN
ejpam-2465	399	18	.	.	PUNCT
ejpam-2465	400	1	the	the	DET
ejpam-2465	400	2	proof	proof	NOUN
ejpam-2465	400	3	is	be	AUX
ejpam-2465	400	4	complete	complete	ADJ
ejpam-2465	400	5	.	.	PUNCT
ejpam-2465	401	1	4	4	X
ejpam-2465	401	2	.	.	X
ejpam-2465	401	3	mittag	mittag	ADJ
ejpam-2465	401	4	-	-	PUNCT
ejpam-2465	401	5	leffler	leffler	NOUN
ejpam-2465	401	6	-	-	PUNCT
ejpam-2465	401	7	ulam	ulam	NOUN
ejpam-2465	401	8	stabilities	stability	NOUN
ejpam-2465	401	9	in	in	ADP
ejpam-2465	401	10	this	this	DET
ejpam-2465	401	11	section	section	NOUN
ejpam-2465	401	12	,	,	PUNCT
ejpam-2465	401	13	we	we	PRON
ejpam-2465	401	14	consider	consider	VERB
ejpam-2465	401	15	the	the	DET
ejpam-2465	401	16	mittag	mittag	ADJ
ejpam-2465	401	17	-	-	PUNCT
ejpam-2465	401	18	leffler	leffler	NOUN
ejpam-2465	401	19	-	-	PUNCT
ejpam-2465	401	20	ulam	ulam	NOUN
ejpam-2465	401	21	stability	stability	NOUN
ejpam-2465	401	22	of	of	ADP
ejpam-2465	401	23	the	the	DET
ejpam-2465	401	24	nonlocal	nonlocal	ADJ
ejpam-2465	401	25	cauchy	cauchy	ADJ
ejpam-2465	401	26	problem	problem	NOUN
ejpam-2465	401	27	(	(	PUNCT
ejpam-2465	401	28	1	1	NUM
ejpam-2465	401	29	)	)	PUNCT
ejpam-2465	401	30	.	.	PUNCT
ejpam-2465	402	1	let	let	VERB
ejpam-2465	402	2	ε	ε	PROPN
ejpam-2465	402	3	be	be	AUX
ejpam-2465	402	4	a	a	DET
ejpam-2465	402	5	positive	positive	ADJ
ejpam-2465	402	6	real	real	ADJ
ejpam-2465	402	7	number	number	NOUN
ejpam-2465	402	8	andϕ	andϕ	ADJ
ejpam-2465	402	9	:	:	PUNCT
ejpam-2465	402	10	j	j	PROPN
ejpam-2465	402	11	→	→	PUNCT
ejpam-2465	402	12	r+	r+	NOUN
ejpam-2465	402	13	be	be	AUX
ejpam-2465	402	14	a	a	DET
ejpam-2465	402	15	continuous	continuous	ADJ
ejpam-2465	402	16	function	function	NOUN
ejpam-2465	402	17	.	.	PUNCT
ejpam-2465	403	1	we	we	PRON
ejpam-2465	403	2	consider	consider	VERB
ejpam-2465	403	3	the	the	DET
ejpam-2465	403	4	following	follow	VERB
ejpam-2465	403	5	inequalities	inequality	NOUN
ejpam-2465	403	6	�	�	PROPN
ejpam-2465	403	7	�	�	PROPN
ejpam-2465	403	8	c	c	PROPN
ejpam-2465	403	9	dα	dα	PROPN
ejpam-2465	403	10	y(t)−	y(t)−	PROPN
ejpam-2465	403	11	ay(t)−	ay(t)−	PROPN
ejpam-2465	403	12	f	f	PROPN
ejpam-2465	403	13	�	�	PROPN
ejpam-2465	403	14	t	t	PROPN
ejpam-2465	403	15	,	,	PUNCT
ejpam-2465	403	16	y(t	y(t	PROPN
ejpam-2465	403	17	)	)	PUNCT
ejpam-2465	403	18	,	,	PUNCT
ejpam-2465	403	19	iβ	iβ	ADP
ejpam-2465	403	20	y(t	y(t	PROPN
ejpam-2465	403	21	)	)	PUNCT
ejpam-2465	403	22	�	�	PROPN
ejpam-2465	403	23	�	�	PROPN
ejpam-2465	403	24	�	�	PROPN
ejpam-2465	403	25	≤ε	≤ε	PROPN
ejpam-2465	403	26	,	,	PUNCT
ejpam-2465	403	27	t	t	PROPN
ejpam-2465	403	28	∈	∈	PROPN
ejpam-2465	403	29	j	j	PROPN
ejpam-2465	403	30	(	(	PUNCT
ejpam-2465	403	31	10	10	NUM
ejpam-2465	403	32	)	)	PUNCT
ejpam-2465	403	33	�	�	PROPN
ejpam-2465	403	34	�	�	PROPN
ejpam-2465	403	35	c	c	PROPN
ejpam-2465	403	36	dα	dα	PROPN
ejpam-2465	403	37	y(t)−	y(t)−	PROPN
ejpam-2465	403	38	ay(t)−	ay(t)−	PROPN
ejpam-2465	403	39	f	f	PROPN
ejpam-2465	403	40	�	�	PROPN
ejpam-2465	403	41	t	t	PROPN
ejpam-2465	403	42	,	,	PUNCT
ejpam-2465	403	43	y(t	y(t	PROPN
ejpam-2465	403	44	)	)	PUNCT
ejpam-2465	403	45	,	,	PUNCT
ejpam-2465	403	46	iβ	iβ	ADP
ejpam-2465	403	47	y(t	y(t	PROPN
ejpam-2465	403	48	)	)	PUNCT
ejpam-2465	403	49	�	�	PROPN
ejpam-2465	403	50	�	�	PROPN
ejpam-2465	403	51	�	�	PROPN
ejpam-2465	403	52	≤ϕ(t	≤ϕ(t	NOUN
ejpam-2465	403	53	)	)	PUNCT
ejpam-2465	403	54	,	,	PUNCT
ejpam-2465	403	55	t	t	PROPN
ejpam-2465	403	56	∈	∈	PROPN
ejpam-2465	403	57	j	j	PROPN
ejpam-2465	403	58	(	(	PUNCT
ejpam-2465	403	59	11	11	NUM
ejpam-2465	403	60	)	)	PUNCT
ejpam-2465	403	61	�	�	PROPN
ejpam-2465	403	62	�	�	PROPN
ejpam-2465	403	63	c	c	PROPN
ejpam-2465	403	64	dα	dα	PROPN
ejpam-2465	403	65	y(t)−	y(t)−	PROPN
ejpam-2465	403	66	ay(t)−	ay(t)−	PROPN
ejpam-2465	403	67	f	f	PROPN
ejpam-2465	403	68	�	�	PROPN
ejpam-2465	403	69	t	t	PROPN
ejpam-2465	403	70	,	,	PUNCT
ejpam-2465	403	71	y(t	y(t	PROPN
ejpam-2465	403	72	)	)	PUNCT
ejpam-2465	403	73	,	,	PUNCT
ejpam-2465	403	74	iβ	iβ	ADP
ejpam-2465	403	75	y(t	y(t	PROPN
ejpam-2465	403	76	)	)	PUNCT
ejpam-2465	403	77	�	�	PROPN
ejpam-2465	403	78	�	�	PROPN
ejpam-2465	403	79	�	�	PROPN
ejpam-2465	403	80	≤εϕ(t	≤εϕ(t	NUM
ejpam-2465	403	81	)	)	PUNCT
ejpam-2465	403	82	,	,	PUNCT
ejpam-2465	403	83	t	t	PROPN
ejpam-2465	403	84	∈	∈	PROPN
ejpam-2465	403	85	j	j	PROPN
ejpam-2465	403	86	(	(	PUNCT
ejpam-2465	403	87	12	12	NUM
ejpam-2465	403	88	)	)	PUNCT
ejpam-2465	403	89	m.	m.	NOUN
ejpam-2465	403	90	abbas	abbas	PROPN
ejpam-2465	403	91	/	/	SYM
ejpam-2465	403	92	eur	eur	PROPN
ejpam-2465	403	93	.	.	PUNCT
ejpam-2465	404	1	j.	j.	PROPN
ejpam-2465	404	2	pure	pure	PROPN
ejpam-2465	404	3	appl	appl	PROPN
ejpam-2465	404	4	.	.	PROPN
ejpam-2465	404	5	math	math	PROPN
ejpam-2465	404	6	,	,	PUNCT
ejpam-2465	404	7	8	8	NUM
ejpam-2465	404	8	(	(	PUNCT
ejpam-2465	404	9	2015	2015	NUM
ejpam-2465	404	10	)	)	PUNCT
ejpam-2465	404	11	,	,	PUNCT
ejpam-2465	404	12	478	478	NUM
ejpam-2465	404	13	-	-	SYM
ejpam-2465	404	14	498	498	NUM
ejpam-2465	404	15	493	493	NUM
ejpam-2465	404	16	definition	definition	NOUN
ejpam-2465	404	17	5	5	NUM
ejpam-2465	404	18	.	.	PUNCT
ejpam-2465	405	1	eq	eq	ADP
ejpam-2465	405	2	.	.	PUNCT
ejpam-2465	406	1	(	(	PUNCT
ejpam-2465	406	2	1	1	X
ejpam-2465	406	3	)	)	PUNCT
ejpam-2465	406	4	is	be	AUX
ejpam-2465	406	5	mittag	mittag	ADJ
ejpam-2465	406	6	-	-	PUNCT
ejpam-2465	406	7	leffler	leffler	NOUN
ejpam-2465	406	8	-	-	PUNCT
ejpam-2465	406	9	ulam	ulam	NOUN
ejpam-2465	406	10	-	-	PUNCT
ejpam-2465	406	11	hyers	hyer	NOUN
ejpam-2465	406	12	stable	stable	ADJ
ejpam-2465	406	13	,	,	PUNCT
ejpam-2465	406	14	with	with	ADP
ejpam-2465	406	15	respect	respect	NOUN
ejpam-2465	406	16	to	to	ADP
ejpam-2465	406	17	eα	eα	PRON
ejpam-2465	406	18	if	if	SCONJ
ejpam-2465	406	19	there	there	PRON
ejpam-2465	406	20	exists	exist	VERB
ejpam-2465	406	21	a	a	DET
ejpam-2465	406	22	real	real	ADJ
ejpam-2465	406	23	number	number	NOUN
ejpam-2465	406	24	c	c	NOUN
ejpam-2465	406	25	>	>	X
ejpam-2465	406	26	0	0	NUM
ejpam-2465	407	1	such	such	ADJ
ejpam-2465	407	2	that	that	PRON
ejpam-2465	407	3	for	for	ADP
ejpam-2465	407	4	each	each	DET
ejpam-2465	407	5	ε	ε	PROPN
ejpam-2465	407	6	>	>	X
ejpam-2465	407	7	0	0	PUNCT
ejpam-2465	408	1	and	and	CCONJ
ejpam-2465	408	2	for	for	ADP
ejpam-2465	408	3	each	each	DET
ejpam-2465	408	4	solution	solution	NOUN
ejpam-2465	408	5	y	y	PROPN
ejpam-2465	408	6	∈	∈	PROPN
ejpam-2465	408	7	c1(j	c1(j	PROPN
ejpam-2465	408	8	,	,	PUNCT
ejpam-2465	408	9	e	e	NOUN
ejpam-2465	408	10	)	)	PUNCT
ejpam-2465	408	11	of	of	ADP
ejpam-2465	408	12	the	the	DET
ejpam-2465	408	13	inequality	inequality	NOUN
ejpam-2465	408	14	(	(	PUNCT
ejpam-2465	408	15	10	10	NUM
ejpam-2465	408	16	)	)	PUNCT
ejpam-2465	408	17	,	,	PUNCT
ejpam-2465	408	18	there	there	PRON
ejpam-2465	408	19	exists	exist	VERB
ejpam-2465	408	20	a	a	DET
ejpam-2465	408	21	mild	mild	ADJ
ejpam-2465	408	22	solution	solution	NOUN
ejpam-2465	408	23	x	x	SYM
ejpam-2465	408	24	∈	∈	PROPN
ejpam-2465	408	25	c(j	c(j	PROPN
ejpam-2465	408	26	,	,	PUNCT
ejpam-2465	408	27	e	e	NOUN
ejpam-2465	408	28	)	)	PUNCT
ejpam-2465	408	29	of	of	ADP
ejpam-2465	408	30	eq	eq	PROPN
ejpam-2465	408	31	.	.	PUNCT
ejpam-2465	409	1	(	(	PUNCT
ejpam-2465	409	2	1	1	X
ejpam-2465	409	3	)	)	PUNCT
ejpam-2465	409	4	with	with	ADP
ejpam-2465	409	5	�	�	PROPN
ejpam-2465	409	6	�	�	PROPN
ejpam-2465	409	7	y(t)−	y(t)−	PROPN
ejpam-2465	409	8	x(t	x(t	PROPN
ejpam-2465	409	9	)	)	PUNCT
ejpam-2465	409	10	�	�	PROPN
ejpam-2465	409	11	�	�	PROPN
ejpam-2465	409	12	≤	≤	PROPN
ejpam-2465	409	13	cεeα[t	cεeα[t	PROPN
ejpam-2465	409	14	]	]	PUNCT
ejpam-2465	409	15	,	,	PUNCT
ejpam-2465	409	16	t	t	PROPN
ejpam-2465	409	17	∈	∈	PROPN
ejpam-2465	409	18	j	j	PROPN
ejpam-2465	409	19	.	.	PUNCT
ejpam-2465	410	1	definition	definition	NOUN
ejpam-2465	410	2	6	6	NUM
ejpam-2465	410	3	.	.	PUNCT
ejpam-2465	411	1	eq	eq	ADP
ejpam-2465	411	2	.	.	PUNCT
ejpam-2465	412	1	(	(	PUNCT
ejpam-2465	412	2	1	1	X
ejpam-2465	412	3	)	)	PUNCT
ejpam-2465	412	4	is	be	AUX
ejpam-2465	412	5	generalized	generalize	VERB
ejpam-2465	412	6	mittag	mittag	ADJ
ejpam-2465	412	7	-	-	PUNCT
ejpam-2465	412	8	leffler	leffler	NOUN
ejpam-2465	412	9	-	-	PUNCT
ejpam-2465	412	10	ulam	ulam	NOUN
ejpam-2465	412	11	-	-	PUNCT
ejpam-2465	412	12	hyers	hyer	NOUN
ejpam-2465	412	13	stable	stable	ADJ
ejpam-2465	412	14	,	,	PUNCT
ejpam-2465	412	15	with	with	ADP
ejpam-2465	412	16	respect	respect	NOUN
ejpam-2465	412	17	to	to	ADP
ejpam-2465	412	18	eα	eα	PRON
ejpam-2465	412	19	if	if	SCONJ
ejpam-2465	412	20	there	there	PRON
ejpam-2465	412	21	exists	exist	VERB
ejpam-2465	412	22	θ	θ	PROPN
ejpam-2465	412	23	∈	∈	PROPN
ejpam-2465	412	24	c(r+,r+	c(r+,r+	PROPN
ejpam-2465	412	25	)	)	PUNCT
ejpam-2465	412	26	,	,	PUNCT
ejpam-2465	412	27	θ	θ	PROPN
ejpam-2465	412	28	(	(	PUNCT
ejpam-2465	412	29	0	0	NUM
ejpam-2465	412	30	)	)	PUNCT
ejpam-2465	412	31	=	=	SYM
ejpam-2465	413	1	0	0	NUM
ejpam-2465	414	1	such	such	ADJ
ejpam-2465	414	2	that	that	PRON
ejpam-2465	414	3	for	for	ADP
ejpam-2465	414	4	each	each	DET
ejpam-2465	414	5	solution	solution	NOUN
ejpam-2465	414	6	y	y	PROPN
ejpam-2465	414	7	∈	∈	PROPN
ejpam-2465	414	8	c1(j	c1(j	PROPN
ejpam-2465	414	9	,	,	PUNCT
ejpam-2465	414	10	e	e	NOUN
ejpam-2465	414	11	)	)	PUNCT
ejpam-2465	414	12	of	of	ADP
ejpam-2465	414	13	the	the	DET
ejpam-2465	414	14	inequality	inequality	NOUN
ejpam-2465	414	15	(	(	PUNCT
ejpam-2465	414	16	10	10	NUM
ejpam-2465	414	17	)	)	PUNCT
ejpam-2465	414	18	,	,	PUNCT
ejpam-2465	414	19	there	there	PRON
ejpam-2465	414	20	exists	exist	VERB
ejpam-2465	414	21	a	a	DET
ejpam-2465	414	22	mild	mild	ADJ
ejpam-2465	414	23	solution	solution	NOUN
ejpam-2465	414	24	x	x	SYM
ejpam-2465	414	25	∈	∈	PROPN
ejpam-2465	414	26	c(j	c(j	PROPN
ejpam-2465	414	27	,	,	PUNCT
ejpam-2465	414	28	e	e	NOUN
ejpam-2465	414	29	)	)	PUNCT
ejpam-2465	414	30	of	of	ADP
ejpam-2465	414	31	eq	eq	PROPN
ejpam-2465	414	32	.	.	PUNCT
ejpam-2465	415	1	(	(	PUNCT
ejpam-2465	415	2	1	1	X
ejpam-2465	415	3	)	)	PUNCT
ejpam-2465	415	4	with	with	ADP
ejpam-2465	415	5	�	�	PROPN
ejpam-2465	415	6	�	�	PROPN
ejpam-2465	415	7	y(t)−	y(t)−	PROPN
ejpam-2465	415	8	x(t	x(t	PROPN
ejpam-2465	415	9	)	)	PUNCT
ejpam-2465	415	10	�	�	PROPN
ejpam-2465	415	11	�	�	PROPN
ejpam-2465	415	12	≤	≤	ADJ
ejpam-2465	415	13	θ	θ	NOUN
ejpam-2465	415	14	(	(	PUNCT
ejpam-2465	415	15	ε)eα[t	ε)eα[t	NOUN
ejpam-2465	415	16	]	]	PUNCT
ejpam-2465	415	17	,	,	PUNCT
ejpam-2465	415	18	t	t	PROPN
ejpam-2465	415	19	∈	∈	PROPN
ejpam-2465	415	20	j	j	PROPN
ejpam-2465	415	21	.	.	PUNCT
ejpam-2465	416	1	definition	definition	NOUN
ejpam-2465	416	2	7	7	NUM
ejpam-2465	416	3	.	.	PUNCT
ejpam-2465	417	1	eq	eq	ADP
ejpam-2465	417	2	.	.	PUNCT
ejpam-2465	418	1	(	(	PUNCT
ejpam-2465	418	2	1	1	X
ejpam-2465	418	3	)	)	PUNCT
ejpam-2465	418	4	is	be	AUX
ejpam-2465	418	5	mittag	mittag	ADJ
ejpam-2465	418	6	-	-	PUNCT
ejpam-2465	418	7	leffler	leffler	NOUN
ejpam-2465	418	8	-	-	PUNCT
ejpam-2465	418	9	ulam	ulam	NOUN
ejpam-2465	418	10	-	-	PUNCT
ejpam-2465	418	11	hyers	hyer	NOUN
ejpam-2465	418	12	-	-	PUNCT
ejpam-2465	418	13	rassias	rassia	NOUN
ejpam-2465	418	14	stable	stable	ADJ
ejpam-2465	418	15	with	with	ADP
ejpam-2465	418	16	respect	respect	NOUN
ejpam-2465	418	17	to	to	ADP
ejpam-2465	418	18	ϕeα	ϕeα	NOUN
ejpam-2465	418	19	if	if	SCONJ
ejpam-2465	418	20	there	there	PRON
ejpam-2465	418	21	exists	exist	VERB
ejpam-2465	418	22	cϕ	cϕ	ADP
ejpam-2465	418	23	>	>	X
ejpam-2465	418	24	0	0	NUM
ejpam-2465	418	25	such	such	ADJ
ejpam-2465	418	26	that	that	PRON
ejpam-2465	418	27	for	for	ADP
ejpam-2465	418	28	each	each	DET
ejpam-2465	418	29	ε	ε	PROPN
ejpam-2465	418	30	>	>	X
ejpam-2465	418	31	0	0	PUNCT
ejpam-2465	418	32	and	and	CCONJ
ejpam-2465	418	33	for	for	ADP
ejpam-2465	418	34	each	each	DET
ejpam-2465	418	35	solution	solution	NOUN
ejpam-2465	418	36	y	y	PROPN
ejpam-2465	418	37	∈	∈	PROPN
ejpam-2465	418	38	c1(j	c1(j	PROPN
ejpam-2465	418	39	,	,	PUNCT
ejpam-2465	418	40	e	e	NOUN
ejpam-2465	418	41	)	)	PUNCT
ejpam-2465	418	42	of	of	ADP
ejpam-2465	418	43	the	the	DET
ejpam-2465	418	44	inequality	inequality	NOUN
ejpam-2465	418	45	(	(	PUNCT
ejpam-2465	418	46	12	12	NUM
ejpam-2465	418	47	)	)	PUNCT
ejpam-2465	418	48	,	,	PUNCT
ejpam-2465	418	49	there	there	PRON
ejpam-2465	418	50	exists	exist	VERB
ejpam-2465	418	51	a	a	DET
ejpam-2465	418	52	mild	mild	ADJ
ejpam-2465	418	53	solution	solution	NOUN
ejpam-2465	418	54	x	x	SYM
ejpam-2465	418	55	∈	∈	PROPN
ejpam-2465	418	56	c(j	c(j	PROPN
ejpam-2465	418	57	,	,	PUNCT
ejpam-2465	418	58	e	e	NOUN
ejpam-2465	418	59	)	)	PUNCT
ejpam-2465	418	60	of	of	ADP
ejpam-2465	418	61	eq.(1	eq.(1	ADJ
ejpam-2465	418	62	)	)	PUNCT
ejpam-2465	418	63	with	with	ADP
ejpam-2465	418	64	�	�	PROPN
ejpam-2465	418	65	�	�	PROPN
ejpam-2465	418	66	y(t)−	y(t)−	PROPN
ejpam-2465	418	67	x(t	x(t	PROPN
ejpam-2465	418	68	)	)	PUNCT
ejpam-2465	418	69	�	�	PROPN
ejpam-2465	418	70	�	�	PROPN
ejpam-2465	418	71	≤	≤	PROPN
ejpam-2465	418	72	cϕεϕ(t)eα[t	cϕεϕ(t)eα[t	PROPN
ejpam-2465	418	73	]	]	PUNCT
ejpam-2465	418	74	,	,	PUNCT
ejpam-2465	419	1	t	t	PROPN
ejpam-2465	419	2	∈	∈	PROPN
ejpam-2465	419	3	j	j	PROPN
ejpam-2465	419	4	.	.	PUNCT
ejpam-2465	420	1	definition	definition	NOUN
ejpam-2465	420	2	8	8	NUM
ejpam-2465	420	3	.	.	PUNCT
ejpam-2465	421	1	eq	eq	ADP
ejpam-2465	421	2	.	.	PUNCT
ejpam-2465	422	1	(	(	PUNCT
ejpam-2465	422	2	1	1	X
ejpam-2465	422	3	)	)	PUNCT
ejpam-2465	422	4	is	be	AUX
ejpam-2465	422	5	generalized	generalize	VERB
ejpam-2465	422	6	mittag	mittag	ADJ
ejpam-2465	422	7	-	-	PUNCT
ejpam-2465	422	8	leffler	leffler	NOUN
ejpam-2465	422	9	-	-	PUNCT
ejpam-2465	422	10	ulam	ulam	NOUN
ejpam-2465	422	11	-	-	PUNCT
ejpam-2465	422	12	hyers	hyer	NOUN
ejpam-2465	422	13	-	-	PUNCT
ejpam-2465	422	14	rassias	rassia	NOUN
ejpam-2465	422	15	stable	stable	ADJ
ejpam-2465	422	16	with	with	ADP
ejpam-2465	422	17	respect	respect	NOUN
ejpam-2465	422	18	to	to	ADP
ejpam-2465	422	19	ϕeα	ϕeα	NOUN
ejpam-2465	422	20	if	if	SCONJ
ejpam-2465	422	21	there	there	PRON
ejpam-2465	422	22	exists	exist	VERB
ejpam-2465	422	23	cϕ	cϕ	ADP
ejpam-2465	422	24	>	>	X
ejpam-2465	422	25	0	0	NUM
ejpam-2465	422	26	such	such	ADJ
ejpam-2465	422	27	that	that	PRON
ejpam-2465	422	28	for	for	ADP
ejpam-2465	422	29	each	each	DET
ejpam-2465	422	30	solution	solution	NOUN
ejpam-2465	422	31	y	y	PROPN
ejpam-2465	422	32	∈	∈	PROPN
ejpam-2465	422	33	c1(j	c1(j	PROPN
ejpam-2465	422	34	,	,	PUNCT
ejpam-2465	422	35	e	e	NOUN
ejpam-2465	422	36	)	)	PUNCT
ejpam-2465	422	37	of	of	ADP
ejpam-2465	422	38	the	the	DET
ejpam-2465	422	39	inequality	inequality	NOUN
ejpam-2465	422	40	(	(	PUNCT
ejpam-2465	422	41	11	11	NUM
ejpam-2465	422	42	)	)	PUNCT
ejpam-2465	422	43	,	,	PUNCT
ejpam-2465	422	44	there	there	PRON
ejpam-2465	422	45	exists	exist	VERB
ejpam-2465	422	46	a	a	DET
ejpam-2465	422	47	mild	mild	ADJ
ejpam-2465	422	48	solution	solution	NOUN
ejpam-2465	422	49	x	x	SYM
ejpam-2465	422	50	∈	∈	PROPN
ejpam-2465	422	51	c(j	c(j	PROPN
ejpam-2465	422	52	,	,	PUNCT
ejpam-2465	422	53	e	e	NOUN
ejpam-2465	422	54	)	)	PUNCT
ejpam-2465	422	55	of	of	ADP
ejpam-2465	422	56	eq.(1	eq.(1	ADJ
ejpam-2465	422	57	)	)	PUNCT
ejpam-2465	422	58	with	with	ADP
ejpam-2465	422	59	�	�	PROPN
ejpam-2465	422	60	�	�	PROPN
ejpam-2465	422	61	y(t)−	y(t)−	PROPN
ejpam-2465	422	62	x(t	x(t	PROPN
ejpam-2465	422	63	)	)	PUNCT
ejpam-2465	422	64	�	�	PROPN
ejpam-2465	422	65	�	�	PROPN
ejpam-2465	422	66	≤	≤	PROPN
ejpam-2465	422	67	cϕϕ(t)eα[t	cϕϕ(t)eα[t	PROPN
ejpam-2465	422	68	]	]	PUNCT
ejpam-2465	422	69	,	,	PUNCT
ejpam-2465	422	70	t	t	PROPN
ejpam-2465	422	71	∈	∈	PROPN
ejpam-2465	422	72	j	j	PROPN
ejpam-2465	422	73	.	.	PUNCT
ejpam-2465	423	1	remark	remark	PROPN
ejpam-2465	423	2	4	4	NUM
ejpam-2465	423	3	.	.	PUNCT
ejpam-2465	424	1	it	it	PRON
ejpam-2465	424	2	is	be	AUX
ejpam-2465	424	3	clear	clear	ADJ
ejpam-2465	424	4	that	that	SCONJ
ejpam-2465	424	5	:	:	PUNCT
ejpam-2465	424	6	(	(	PUNCT
ejpam-2465	424	7	i	i	NOUN
ejpam-2465	424	8	)	)	PUNCT
ejpam-2465	424	9	definition	definition	NOUN
ejpam-2465	424	10	5	5	NUM
ejpam-2465	424	11	=	=	NOUN
ejpam-2465	424	12	⇒	⇒	NOUN
ejpam-2465	424	13	definition	definition	NOUN
ejpam-2465	424	14	6	6	NUM
ejpam-2465	424	15	;	;	PUNCT
ejpam-2465	424	16	(	(	PUNCT
ejpam-2465	424	17	ii	ii	NOUN
ejpam-2465	424	18	)	)	PUNCT
ejpam-2465	424	19	definition	definition	NOUN
ejpam-2465	424	20	7	7	NUM
ejpam-2465	424	21	=	=	NOUN
ejpam-2465	424	22	⇒	⇒	NOUN
ejpam-2465	424	23	definition	definition	NOUN
ejpam-2465	424	24	8	8	NUM
ejpam-2465	424	25	.	.	PUNCT
ejpam-2465	424	26	remark	remark	NOUN
ejpam-2465	424	27	5	5	NUM
ejpam-2465	424	28	.	.	PUNCT
ejpam-2465	425	1	a	a	DET
ejpam-2465	425	2	function	function	NOUN
ejpam-2465	425	3	y	y	PROPN
ejpam-2465	425	4	∈	∈	PROPN
ejpam-2465	425	5	c1(j	c1(j	PROPN
ejpam-2465	425	6	,	,	PUNCT
ejpam-2465	425	7	e	e	X
ejpam-2465	425	8	)	)	PUNCT
ejpam-2465	425	9	is	be	AUX
ejpam-2465	425	10	a	a	DET
ejpam-2465	425	11	solution	solution	NOUN
ejpam-2465	425	12	of	of	ADP
ejpam-2465	425	13	the	the	DET
ejpam-2465	425	14	inequality	inequality	NOUN
ejpam-2465	425	15	(	(	PUNCT
ejpam-2465	425	16	10	10	NUM
ejpam-2465	425	17	)	)	PUNCT
ejpam-2465	425	18	if	if	SCONJ
ejpam-2465	425	19	and	and	CCONJ
ejpam-2465	425	20	only	only	ADV
ejpam-2465	425	21	if	if	SCONJ
ejpam-2465	425	22	there	there	PRON
ejpam-2465	425	23	exist	exist	VERB
ejpam-2465	425	24	a	a	DET
ejpam-2465	425	25	function	function	NOUN
ejpam-2465	425	26	h	h	NOUN
ejpam-2465	425	27	∈	∈	PROPN
ejpam-2465	425	28	c(j	c(j	PROPN
ejpam-2465	425	29	,	,	PUNCT
ejpam-2465	425	30	e	e	NOUN
ejpam-2465	425	31	)	)	PUNCT
ejpam-2465	425	32	(	(	PUNCT
ejpam-2465	425	33	which	which	PRON
ejpam-2465	425	34	depend	depend	VERB
ejpam-2465	425	35	on	on	ADP
ejpam-2465	425	36	y	y	NOUN
ejpam-2465	425	37	)	)	PUNCT
ejpam-2465	425	38	such	such	ADJ
ejpam-2465	425	39	that	that	SCONJ
ejpam-2465	425	40	(	(	PUNCT
ejpam-2465	425	41	i	i	NOUN
ejpam-2465	425	42	)	)	PUNCT
ejpam-2465	425	43	|h(t)|	|h(t)|	NOUN
ejpam-2465	425	44	≤	≤	NUM
ejpam-2465	425	45	ε	ε	PROPN
ejpam-2465	425	46	,	,	PUNCT
ejpam-2465	425	47	t	t	PROPN
ejpam-2465	425	48	∈	∈	PROPN
ejpam-2465	425	49	j	j	PROPN
ejpam-2465	425	50	,	,	PUNCT
ejpam-2465	425	51	(	(	PUNCT
ejpam-2465	425	52	ii	ii	NOUN
ejpam-2465	425	53	)	)	PUNCT
ejpam-2465	425	54	c	c	PROPN
ejpam-2465	425	55	dα	dα	PROPN
ejpam-2465	425	56	y(t	y(t	PROPN
ejpam-2465	425	57	)	)	PUNCT
ejpam-2465	425	58	=	=	PUNCT
ejpam-2465	425	59	ay(t	ay(t	PUNCT
ejpam-2465	425	60	)	)	PUNCT
ejpam-2465	426	1	+	+	CCONJ
ejpam-2465	426	2	f	f	PROPN
ejpam-2465	426	3	�	�	PROPN
ejpam-2465	426	4	t	t	PROPN
ejpam-2465	426	5	,	,	PUNCT
ejpam-2465	426	6	y(t	y(t	PROPN
ejpam-2465	426	7	)	)	PUNCT
ejpam-2465	426	8	,	,	PUNCT
ejpam-2465	426	9	iβ	iβ	ADP
ejpam-2465	426	10	y(t	y(t	PROPN
ejpam-2465	426	11	)	)	PUNCT
ejpam-2465	426	12	�	�	PROPN
ejpam-2465	426	13	+	+	CCONJ
ejpam-2465	426	14	h(t	h(t	PROPN
ejpam-2465	426	15	)	)	PUNCT
ejpam-2465	426	16	,	,	PUNCT
ejpam-2465	426	17	t	t	PROPN
ejpam-2465	426	18	∈	∈	PROPN
ejpam-2465	426	19	j.	j.	PROPN
ejpam-2465	426	20	one	one	PROPN
ejpam-2465	426	21	can	can	AUX
ejpam-2465	426	22	have	have	VERB
ejpam-2465	426	23	similar	similar	ADJ
ejpam-2465	426	24	remarks	remark	NOUN
ejpam-2465	426	25	for	for	ADP
ejpam-2465	426	26	the	the	DET
ejpam-2465	426	27	inequalities	inequality	NOUN
ejpam-2465	426	28	(	(	PUNCT
ejpam-2465	426	29	11	11	NUM
ejpam-2465	426	30	)	)	PUNCT
ejpam-2465	426	31	and	and	CCONJ
ejpam-2465	426	32	(	(	PUNCT
ejpam-2465	426	33	12	12	NUM
ejpam-2465	426	34	)	)	PUNCT
ejpam-2465	426	35	.	.	PUNCT
ejpam-2465	427	1	remark	remark	VERB
ejpam-2465	427	2	6	6	NUM
ejpam-2465	427	3	.	.	PUNCT
ejpam-2465	428	1	if	if	SCONJ
ejpam-2465	428	2	y	y	PROPN
ejpam-2465	428	3	∈	∈	PROPN
ejpam-2465	428	4	c1(j	c1(j	PROPN
ejpam-2465	428	5	,	,	PUNCT
ejpam-2465	428	6	e	e	X
ejpam-2465	428	7	)	)	PUNCT
ejpam-2465	428	8	i	i	PRON
ejpam-2465	428	9	a	a	DET
ejpam-2465	428	10	solution	solution	NOUN
ejpam-2465	428	11	of	of	ADP
ejpam-2465	428	12	the	the	DET
ejpam-2465	428	13	inequality	inequality	NOUN
ejpam-2465	428	14	(	(	PUNCT
ejpam-2465	428	15	10	10	NUM
ejpam-2465	428	16	)	)	PUNCT
ejpam-2465	428	17	,	,	PUNCT
ejpam-2465	428	18	then	then	ADV
ejpam-2465	428	19	y	y	PROPN
ejpam-2465	428	20	is	be	AUX
ejpam-2465	428	21	a	a	DET
ejpam-2465	428	22	solution	solution	NOUN
ejpam-2465	428	23	of	of	ADP
ejpam-2465	428	24	the	the	DET
ejpam-2465	428	25	following	follow	VERB
ejpam-2465	428	26	integral	integral	ADJ
ejpam-2465	428	27	inequality	inequality	NOUN
ejpam-2465	428	28	�	�	PROPN
ejpam-2465	428	29	�	�	PROPN
ejpam-2465	428	30	�	�	PROPN
ejpam-2465	428	31	�	�	PROPN
ejpam-2465	428	32	�	�	PROPN
ejpam-2465	428	33	y(t)−	y(t)−	PROPN
ejpam-2465	428	34	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	428	35	−	−	PROPN
ejpam-2465	429	1	g(y))−	g(y))−	ADJ
ejpam-2465	429	2	∫	∫	PROPN
ejpam-2465	429	3	t	t	NOUN
ejpam-2465	429	4	0	0	NUM
ejpam-2465	430	1	(	(	PUNCT
ejpam-2465	430	2	t	t	NOUN
ejpam-2465	430	3	−	−	PROPN
ejpam-2465	430	4	s)α−1	s)α−1	NOUN
ejpam-2465	430	5	t	t	PROPN
ejpam-2465	430	6	(	(	PUNCT
ejpam-2465	430	7	t	t	PROPN
ejpam-2465	430	8	−	−	PROPN
ejpam-2465	430	9	s	s	PART
ejpam-2465	430	10	)	)	PUNCT
ejpam-2465	430	11	f	f	PROPN
ejpam-2465	430	12	(	(	PUNCT
ejpam-2465	430	13	s	s	PROPN
ejpam-2465	430	14	,	,	PUNCT
ejpam-2465	430	15	y(s	y(s	PROPN
ejpam-2465	430	16	)	)	PUNCT
ejpam-2465	430	17	,	,	PUNCT
ejpam-2465	430	18	iβ	iβ	ADP
ejpam-2465	430	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	430	20	�	�	PROPN
ejpam-2465	430	21	�	�	PROPN
ejpam-2465	430	22	�	�	PROPN
ejpam-2465	430	23	�	�	PROPN
ejpam-2465	430	24	�	�	PROPN
ejpam-2465	430	25	≤	≤	NUM
ejpam-2465	430	26	m	m	VERB
ejpam-2465	430	27	bα	bα	NOUN
ejpam-2465	430	28	γ(α+	γ(α+	DET
ejpam-2465	430	29	1	1	NUM
ejpam-2465	430	30	)	)	PUNCT
ejpam-2465	430	31	ε	ε	PROPN
ejpam-2465	430	32	.	.	PUNCT
ejpam-2465	431	1	we	we	PRON
ejpam-2465	431	2	have	have	VERB
ejpam-2465	431	3	similar	similar	ADJ
ejpam-2465	431	4	remarks	remark	NOUN
ejpam-2465	431	5	for	for	ADP
ejpam-2465	431	6	the	the	DET
ejpam-2465	431	7	solutions	solution	NOUN
ejpam-2465	431	8	of	of	ADP
ejpam-2465	431	9	inequalities	inequality	NOUN
ejpam-2465	431	10	(	(	PUNCT
ejpam-2465	431	11	11	11	NUM
ejpam-2465	431	12	)	)	PUNCT
ejpam-2465	431	13	and	and	CCONJ
ejpam-2465	431	14	(	(	PUNCT
ejpam-2465	431	15	12	12	NUM
ejpam-2465	431	16	)	)	PUNCT
ejpam-2465	431	17	.	.	PUNCT
ejpam-2465	432	1	theorem	theorem	VERB
ejpam-2465	432	2	4	4	NUM
ejpam-2465	432	3	.	.	PUNCT
ejpam-2465	433	1	if	if	SCONJ
ejpam-2465	433	2	assumptions	assumption	NOUN
ejpam-2465	433	3	(	(	PUNCT
ejpam-2465	433	4	h3	h3	NOUN
ejpam-2465	433	5	)	)	PUNCT
ejpam-2465	433	6	and	and	CCONJ
ejpam-2465	433	7	(	(	PUNCT
ejpam-2465	433	8	h4	h4	NOUN
ejpam-2465	433	9	)	)	PUNCT
ejpam-2465	433	10	are	be	AUX
ejpam-2465	433	11	satisfied	satisfied	ADJ
ejpam-2465	433	12	,	,	PUNCT
ejpam-2465	433	13	then	then	ADV
ejpam-2465	433	14	the	the	DET
ejpam-2465	433	15	nonlocal	nonlocal	ADJ
ejpam-2465	433	16	cauchy	cauchy	ADJ
ejpam-2465	433	17	problem	problem	NOUN
ejpam-2465	433	18	(	(	PUNCT
ejpam-2465	433	19	1	1	X
ejpam-2465	433	20	)	)	PUNCT
ejpam-2465	433	21	is	be	AUX
ejpam-2465	433	22	mittag	mittag	ADJ
ejpam-2465	433	23	-	-	PUNCT
ejpam-2465	433	24	leffler	leffler	NOUN
ejpam-2465	433	25	-	-	PUNCT
ejpam-2465	433	26	ulam	ulam	NOUN
ejpam-2465	433	27	-	-	PUNCT
ejpam-2465	433	28	hyers	hyer	NOUN
ejpam-2465	433	29	stable	stable	ADJ
ejpam-2465	433	30	.	.	PUNCT
ejpam-2465	434	1	m.	m.	NOUN
ejpam-2465	434	2	abbas	abbas	PROPN
ejpam-2465	434	3	/	/	SYM
ejpam-2465	434	4	eur	eur	PROPN
ejpam-2465	434	5	.	.	PUNCT
ejpam-2465	435	1	j.	j.	PROPN
ejpam-2465	435	2	pure	pure	PROPN
ejpam-2465	435	3	appl	appl	PROPN
ejpam-2465	435	4	.	.	PROPN
ejpam-2465	435	5	math	math	PROPN
ejpam-2465	435	6	,	,	PUNCT
ejpam-2465	435	7	8	8	NUM
ejpam-2465	435	8	(	(	PUNCT
ejpam-2465	435	9	2015	2015	NUM
ejpam-2465	435	10	)	)	PUNCT
ejpam-2465	435	11	,	,	PUNCT
ejpam-2465	435	12	478	478	NUM
ejpam-2465	435	13	-	-	SYM
ejpam-2465	435	14	498	498	NUM
ejpam-2465	435	15	494	494	NUM
ejpam-2465	435	16	proof	proof	NOUN
ejpam-2465	435	17	.	.	PUNCT
ejpam-2465	436	1	let	let	VERB
ejpam-2465	436	2	y	y	PROPN
ejpam-2465	436	3	∈	∈	PROPN
ejpam-2465	436	4	c1(j	c1(j	PROPN
ejpam-2465	436	5	,	,	PUNCT
ejpam-2465	436	6	e	e	X
ejpam-2465	436	7	)	)	PUNCT
ejpam-2465	436	8	is	be	AUX
ejpam-2465	436	9	a	a	DET
ejpam-2465	436	10	solution	solution	NOUN
ejpam-2465	436	11	of	of	ADP
ejpam-2465	436	12	the	the	DET
ejpam-2465	436	13	inequality	inequality	NOUN
ejpam-2465	436	14	(	(	PUNCT
ejpam-2465	436	15	10	10	NUM
ejpam-2465	436	16	)	)	PUNCT
ejpam-2465	436	17	.	.	PUNCT
ejpam-2465	437	1	let	let	VERB
ejpam-2465	437	2	us	we	PRON
ejpam-2465	437	3	denote	denote	VERB
ejpam-2465	437	4	by	by	ADP
ejpam-2465	437	5	x	x	PROPN
ejpam-2465	437	6	∈	∈	PROPN
ejpam-2465	437	7	c(j	c(j	PROPN
ejpam-2465	437	8	,	,	PUNCT
ejpam-2465	437	9	e	e	X
ejpam-2465	437	10	)	)	PUNCT
ejpam-2465	437	11	the	the	DET
ejpam-2465	437	12	unique	unique	ADJ
ejpam-2465	437	13	mild	mild	ADJ
ejpam-2465	437	14	solution	solution	NOUN
ejpam-2465	437	15	of	of	ADP
ejpam-2465	437	16	the	the	DET
ejpam-2465	437	17	nonlocal	nonlocal	ADJ
ejpam-2465	437	18	cauchy	cauchy	ADJ
ejpam-2465	437	19	problem	problem	NOUN
ejpam-2465	437	20	¨	¨	NOUN
ejpam-2465	437	21	c	c	PROPN
ejpam-2465	437	22	dαx(t	dαx(t	PROPN
ejpam-2465	437	23	)	)	PUNCT
ejpam-2465	437	24	=	=	PUNCT
ejpam-2465	437	25	ax(t	ax(t	NUM
ejpam-2465	437	26	)	)	PUNCT
ejpam-2465	438	1	+	+	CCONJ
ejpam-2465	438	2	f	f	X
ejpam-2465	438	3	(	(	PUNCT
ejpam-2465	438	4	t	t	PROPN
ejpam-2465	438	5	,	,	PUNCT
ejpam-2465	438	6	x(t	x(t	PROPN
ejpam-2465	438	7	)	)	PUNCT
ejpam-2465	438	8	,	,	PUNCT
ejpam-2465	438	9	iβ	iβ	ADP
ejpam-2465	438	10	x(t	x(t	PROPN
ejpam-2465	438	11	)	)	PUNCT
ejpam-2465	438	12	)	)	PUNCT
ejpam-2465	438	13	,	,	PUNCT
ejpam-2465	438	14	t	t	PROPN
ejpam-2465	438	15	∈	∈	PROPN
ejpam-2465	438	16	j	j	PROPN
ejpam-2465	438	17	x(0	x(0	PROPN
ejpam-2465	438	18	)	)	PUNCT
ejpam-2465	438	19	=	=	SYM
ejpam-2465	438	20	y(0	y(0	PROPN
ejpam-2465	438	21	)	)	PUNCT
ejpam-2465	438	22	.	.	PUNCT
ejpam-2465	439	1	(	(	PUNCT
ejpam-2465	439	2	13	13	NUM
ejpam-2465	439	3	)	)	PUNCT
ejpam-2465	439	4	we	we	PRON
ejpam-2465	439	5	have	have	VERB
ejpam-2465	439	6	x(t	x(t	PROPN
ejpam-2465	439	7	)	)	PUNCT
ejpam-2465	440	1	=	=	SYM
ejpam-2465	440	2	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	440	3	−	−	PROPN
ejpam-2465	440	4	g(y	g(y	NOUN
ejpam-2465	440	5	)	)	PUNCT
ejpam-2465	440	6	)	)	PUNCT
ejpam-2465	441	1	+	+	CCONJ
ejpam-2465	441	2	∫	∫	PROPN
ejpam-2465	441	3	t	t	PROPN
ejpam-2465	441	4	0	0	NUM
ejpam-2465	441	5	(	(	PUNCT
ejpam-2465	441	6	t	t	NOUN
ejpam-2465	441	7	−	−	PROPN
ejpam-2465	441	8	s)α−1	s)α−1	NOUN
ejpam-2465	441	9	t	t	PROPN
ejpam-2465	441	10	(	(	PUNCT
ejpam-2465	441	11	t	t	PROPN
ejpam-2465	441	12	−	−	PROPN
ejpam-2465	441	13	s	s	PART
ejpam-2465	441	14	)	)	PUNCT
ejpam-2465	441	15	f	f	PROPN
ejpam-2465	441	16	(	(	PUNCT
ejpam-2465	441	17	s	s	PROPN
ejpam-2465	441	18	,	,	PUNCT
ejpam-2465	441	19	y(s	y(s	PROPN
ejpam-2465	441	20	)	)	PUNCT
ejpam-2465	441	21	,	,	PUNCT
ejpam-2465	441	22	iβ	iβ	ADP
ejpam-2465	441	23	y(s))ds	y(s))ds	PROPN
ejpam-2465	441	24	.	.	PUNCT
ejpam-2465	442	1	then	then	ADV
ejpam-2465	442	2	we	we	PRON
ejpam-2465	442	3	get	get	VERB
ejpam-2465	443	1	�	�	PROPN
ejpam-2465	443	2	�	�	PROPN
ejpam-2465	443	3	�	�	PROPN
ejpam-2465	443	4	�	�	PROPN
ejpam-2465	443	5	y(t)−	y(t)−	PROPN
ejpam-2465	443	6	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	443	7	−	−	PROPN
ejpam-2465	443	8	g(y))−	g(y))−	ADJ
ejpam-2465	443	9	∫	∫	PROPN
ejpam-2465	443	10	t	t	NOUN
ejpam-2465	443	11	0	0	NUM
ejpam-2465	444	1	(	(	PUNCT
ejpam-2465	444	2	t	t	NOUN
ejpam-2465	444	3	−	−	PROPN
ejpam-2465	444	4	s)α−1	s)α−1	NOUN
ejpam-2465	444	5	t	t	PROPN
ejpam-2465	444	6	(	(	PUNCT
ejpam-2465	444	7	t	t	PROPN
ejpam-2465	444	8	−	−	PROPN
ejpam-2465	444	9	s	s	PART
ejpam-2465	444	10	)	)	PUNCT
ejpam-2465	444	11	f	f	PROPN
ejpam-2465	444	12	(	(	PUNCT
ejpam-2465	444	13	s	s	PROPN
ejpam-2465	444	14	,	,	PUNCT
ejpam-2465	444	15	y(s	y(s	PROPN
ejpam-2465	444	16	)	)	PUNCT
ejpam-2465	444	17	,	,	PUNCT
ejpam-2465	444	18	iβ	iβ	ADP
ejpam-2465	444	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	444	20	�	�	PROPN
ejpam-2465	444	21	�	�	PROPN
ejpam-2465	444	22	�	�	PROPN
ejpam-2465	444	23	�	�	PROPN
ejpam-2465	444	24	≤	≤	PROPN
ejpam-2465	444	25	�	�	PROPN
ejpam-2465	444	26	�	�	PROPN
ejpam-2465	444	27	�	�	PROPN
ejpam-2465	444	28	�	�	PROPN
ejpam-2465	444	29	�	�	PROPN
ejpam-2465	444	30	∫	∫	PROPN
ejpam-2465	444	31	t	t	PROPN
ejpam-2465	444	32	0	0	NUM
ejpam-2465	444	33	(	(	PUNCT
ejpam-2465	444	34	t	t	NOUN
ejpam-2465	444	35	−	−	PROPN
ejpam-2465	444	36	s)α−1	s)α−1	NOUN
ejpam-2465	444	37	t	t	PROPN
ejpam-2465	444	38	(	(	PUNCT
ejpam-2465	444	39	t	t	PROPN
ejpam-2465	444	40	−	−	PROPN
ejpam-2465	444	41	s)h(s)ds	s)h(s)ds	PROPN
ejpam-2465	444	42	�	�	PROPN
ejpam-2465	444	43	�	�	PROPN
ejpam-2465	444	44	�	�	PROPN
ejpam-2465	444	45	�	�	PROPN
ejpam-2465	444	46	�	�	PROPN
ejpam-2465	445	1	≤α	≤α	NOUN
ejpam-2465	445	2	∫	∫	PROPN
ejpam-2465	445	3	t	t	PROPN
ejpam-2465	445	4	0	0	NUM
ejpam-2465	445	5	∫	∫	PROPN
ejpam-2465	445	6	∞	∞	NUM
ejpam-2465	446	1	0	0	NUM
ejpam-2465	446	2	θ	θ	PROPN
ejpam-2465	446	3	(	(	PUNCT
ejpam-2465	446	4	t	t	NOUN
ejpam-2465	446	5	−	−	PROPN
ejpam-2465	446	6	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	446	7	)	)	PUNCT
ejpam-2465	446	8	q((t	q((t	NOUN
ejpam-2465	446	9	−	−	PROPN
ejpam-2465	446	10	s)α−1θ	s)α−1θ	PROPN
ejpam-2465	446	11	)	)	PUNCT
ejpam-2465	446	12	|h(s)|dθds	|h(s)|dθds	PROPN
ejpam-2465	446	13	≤	≤	PUNCT
ejpam-2465	446	14	αm	αm	PRON
ejpam-2465	446	15	γ(α+	γ(α+	PRON
ejpam-2465	446	16	1	1	NUM
ejpam-2465	446	17	)	)	PUNCT
ejpam-2465	446	18	ε	ε	PROPN
ejpam-2465	446	19	∫	∫	PROPN
ejpam-2465	446	20	t	t	PROPN
ejpam-2465	446	21	0	0	NUM
ejpam-2465	447	1	(	(	PUNCT
ejpam-2465	447	2	t	t	NOUN
ejpam-2465	447	3	−	−	PROPN
ejpam-2465	447	4	s)α−1ds	s)α−1ds	NOUN
ejpam-2465	447	5	≤	≤	PROPN
ejpam-2465	447	6	m	m	VERB
ejpam-2465	447	7	bα	bα	NOUN
ejpam-2465	447	8	γ(α+	γ(α+	DET
ejpam-2465	447	9	1	1	NUM
ejpam-2465	447	10	)	)	PUNCT
ejpam-2465	447	11	ε	ε	PROPN
ejpam-2465	447	12	.	.	PROPN
ejpam-2465	447	13	from	from	ADP
ejpam-2465	447	14	these	these	DET
ejpam-2465	447	15	relations	relation	NOUN
ejpam-2465	447	16	,	,	PUNCT
ejpam-2465	447	17	we	we	PRON
ejpam-2465	447	18	have	have	VERB
ejpam-2465	447	19	|y(t)−	|y(t)−	PROPN
ejpam-2465	447	20	x(t)|=	x(t)|=	NUM
ejpam-2465	447	21	�	�	PROPN
ejpam-2465	447	22	�	�	PROPN
ejpam-2465	447	23	�	�	PROPN
ejpam-2465	447	24	�	�	PROPN
ejpam-2465	447	25	�	�	PROPN
ejpam-2465	447	26	y(t)−	y(t)−	PROPN
ejpam-2465	447	27	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	447	28	−	−	PROPN
ejpam-2465	448	1	g(y))−	g(y))−	ADJ
ejpam-2465	448	2	∫	∫	PROPN
ejpam-2465	448	3	t	t	NOUN
ejpam-2465	448	4	0	0	NUM
ejpam-2465	449	1	(	(	PUNCT
ejpam-2465	449	2	t	t	NOUN
ejpam-2465	449	3	−	−	PROPN
ejpam-2465	449	4	s)α−1	s)α−1	NOUN
ejpam-2465	449	5	t	t	PROPN
ejpam-2465	449	6	(	(	PUNCT
ejpam-2465	449	7	t	t	PROPN
ejpam-2465	449	8	−	−	PROPN
ejpam-2465	449	9	s	s	PART
ejpam-2465	449	10	)	)	PUNCT
ejpam-2465	449	11	f	f	PROPN
ejpam-2465	449	12	(	(	PUNCT
ejpam-2465	449	13	s	s	PROPN
ejpam-2465	449	14	,	,	PUNCT
ejpam-2465	449	15	x(s	x(s	PROPN
ejpam-2465	449	16	)	)	PUNCT
ejpam-2465	449	17	,	,	PUNCT
ejpam-2465	449	18	iβ	iβ	ADP
ejpam-2465	449	19	x(s))ds	x(s))ds	PROPN
ejpam-2465	449	20	�	�	PROPN
ejpam-2465	449	21	�	�	PROPN
ejpam-2465	449	22	�	�	PROPN
ejpam-2465	449	23	�	�	PROPN
ejpam-2465	449	24	�	�	PROPN
ejpam-2465	449	25	≤	≤	PROPN
ejpam-2465	449	26	�	�	PROPN
ejpam-2465	449	27	�	�	PROPN
ejpam-2465	449	28	�	�	PROPN
ejpam-2465	449	29	�	�	PROPN
ejpam-2465	449	30	�	�	PROPN
ejpam-2465	449	31	y(t)−	y(t)−	PROPN
ejpam-2465	449	32	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	449	33	−	−	PROPN
ejpam-2465	449	34	g(y))−	g(y))−	ADJ
ejpam-2465	449	35	∫	∫	PROPN
ejpam-2465	449	36	t	t	NOUN
ejpam-2465	449	37	0	0	NUM
ejpam-2465	450	1	(	(	PUNCT
ejpam-2465	450	2	t	t	NOUN
ejpam-2465	450	3	−	−	PROPN
ejpam-2465	450	4	s)α−1	s)α−1	NOUN
ejpam-2465	450	5	t	t	PROPN
ejpam-2465	450	6	(	(	PUNCT
ejpam-2465	450	7	t	t	PROPN
ejpam-2465	450	8	−	−	PROPN
ejpam-2465	450	9	s	s	PART
ejpam-2465	450	10	)	)	PUNCT
ejpam-2465	450	11	f	f	PROPN
ejpam-2465	450	12	(	(	PUNCT
ejpam-2465	450	13	s	s	PROPN
ejpam-2465	450	14	,	,	PUNCT
ejpam-2465	450	15	y(s	y(s	PROPN
ejpam-2465	450	16	)	)	PUNCT
ejpam-2465	450	17	,	,	PUNCT
ejpam-2465	450	18	iβ	iβ	ADP
ejpam-2465	450	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	450	20	�	�	PROPN
ejpam-2465	450	21	�	�	PROPN
ejpam-2465	450	22	�	�	PROPN
ejpam-2465	450	23	�	�	PROPN
ejpam-2465	450	24	�	�	PROPN
ejpam-2465	450	25	+	+	CCONJ
ejpam-2465	450	26	�	�	PROPN
ejpam-2465	450	27	�	�	PROPN
ejpam-2465	450	28	�	�	PROPN
ejpam-2465	450	29	�	�	PROPN
ejpam-2465	450	30	�	�	PROPN
ejpam-2465	450	31	∫	∫	PROPN
ejpam-2465	450	32	t	t	PROPN
ejpam-2465	450	33	0	0	NUM
ejpam-2465	450	34	(	(	PUNCT
ejpam-2465	450	35	t	t	NOUN
ejpam-2465	450	36	−	−	PROPN
ejpam-2465	450	37	s)α−1	s)α−1	NOUN
ejpam-2465	450	38	t	t	PROPN
ejpam-2465	450	39	(	(	PUNCT
ejpam-2465	450	40	t	t	PROPN
ejpam-2465	450	41	−	−	PROPN
ejpam-2465	450	42	s	s	PART
ejpam-2465	450	43	)	)	PUNCT
ejpam-2465	450	44	[	[	PUNCT
ejpam-2465	450	45	f	f	X
ejpam-2465	450	46	(	(	PUNCT
ejpam-2465	450	47	s	s	PROPN
ejpam-2465	450	48	,	,	PUNCT
ejpam-2465	450	49	y(s	y(s	PROPN
ejpam-2465	450	50	)	)	PUNCT
ejpam-2465	450	51	,	,	PUNCT
ejpam-2465	450	52	iβ	iβ	ADP
ejpam-2465	450	53	y(s))−	y(s))−	NOUN
ejpam-2465	450	54	f	f	X
ejpam-2465	450	55	(	(	PUNCT
ejpam-2465	450	56	s	s	PROPN
ejpam-2465	450	57	,	,	PUNCT
ejpam-2465	450	58	x(s	x(s	PROPN
ejpam-2465	450	59	)	)	PUNCT
ejpam-2465	450	60	,	,	PUNCT
ejpam-2465	450	61	iβ	iβ	ADP
ejpam-2465	450	62	x(s))]ds	x(s))]ds	PROPN
ejpam-2465	450	63	�	�	PROPN
ejpam-2465	450	64	�	�	PROPN
ejpam-2465	450	65	�	�	PROPN
ejpam-2465	450	66	�	�	PROPN
ejpam-2465	450	67	�	�	PROPN
ejpam-2465	450	68	≤	≤	NUM
ejpam-2465	450	69	m	m	VERB
ejpam-2465	450	70	bα	bα	NOUN
ejpam-2465	450	71	γ(α+	γ(α+	PRON
ejpam-2465	450	72	1	1	NUM
ejpam-2465	450	73	)	)	PUNCT
ejpam-2465	450	74	ε	ε	PROPN
ejpam-2465	450	75	+	+	PROPN
ejpam-2465	450	76	α	α	PROPN
ejpam-2465	450	77	�	�	PROPN
ejpam-2465	450	78	�	�	PROPN
ejpam-2465	450	79	�	�	PROPN
ejpam-2465	450	80	�	�	PROPN
ejpam-2465	450	81	�	�	PROPN
ejpam-2465	450	82	∫	∫	PROPN
ejpam-2465	450	83	t	t	PROPN
ejpam-2465	450	84	0	0	NUM
ejpam-2465	450	85	∫	∫	PROPN
ejpam-2465	450	86	∞	∞	NUM
ejpam-2465	450	87	0	0	NUM
ejpam-2465	450	88	θ	θ	PROPN
ejpam-2465	450	89	(	(	PUNCT
ejpam-2465	450	90	t	t	NOUN
ejpam-2465	450	91	−	−	PROPN
ejpam-2465	450	92	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	450	93	)	)	PUNCT
ejpam-2465	450	94	q((t	q((t	NOUN
ejpam-2465	450	95	−	−	PROPN
ejpam-2465	450	96	s)α−1θ	s)α−1θ	NOUN
ejpam-2465	450	97	)	)	PUNCT
ejpam-2465	450	98	[	[	PUNCT
ejpam-2465	450	99	f	f	X
ejpam-2465	450	100	(	(	PUNCT
ejpam-2465	450	101	s	s	PROPN
ejpam-2465	450	102	,	,	PUNCT
ejpam-2465	450	103	y(s	y(s	PROPN
ejpam-2465	450	104	)	)	PUNCT
ejpam-2465	450	105	,	,	PUNCT
ejpam-2465	450	106	iβ	iβ	ADP
ejpam-2465	450	107	y(s))−	y(s))−	NOUN
ejpam-2465	450	108	−	−	X
ejpam-2465	450	109	f	f	X
ejpam-2465	450	110	(	(	PUNCT
ejpam-2465	450	111	s	s	PROPN
ejpam-2465	450	112	,	,	PUNCT
ejpam-2465	450	113	x(s	x(s	PROPN
ejpam-2465	450	114	)	)	PUNCT
ejpam-2465	450	115	,	,	PUNCT
ejpam-2465	450	116	iβ	iβ	ADP
ejpam-2465	450	117	x(s))]dθds	x(s))]dθds	PROPN
ejpam-2465	450	118	�	�	PROPN
ejpam-2465	450	119	�	�	PROPN
ejpam-2465	450	120	≤	≤	NUM
ejpam-2465	450	121	m	m	VERB
ejpam-2465	450	122	bα	bα	NOUN
ejpam-2465	450	123	γ(α+	γ(α+	DET
ejpam-2465	450	124	1	1	NUM
ejpam-2465	450	125	)	)	PUNCT
ejpam-2465	450	126	ε+	ε+	X
ejpam-2465	450	127	+	+	CCONJ
ejpam-2465	450	128	αm	αm	PRON
ejpam-2465	450	129	γ(α+	γ(α+	PRON
ejpam-2465	450	130	1	1	NUM
ejpam-2465	450	131	)	)	PUNCT
ejpam-2465	450	132	∫	∫	PROPN
ejpam-2465	450	133	t	t	PROPN
ejpam-2465	450	134	0	0	NUM
ejpam-2465	451	1	(	(	PUNCT
ejpam-2465	451	2	t	t	PROPN
ejpam-2465	451	3	−	−	PROPN
ejpam-2465	451	4	s)α−1|	s)α−1|	NOUN
ejpam-2465	451	5	f	f	X
ejpam-2465	451	6	(	(	PUNCT
ejpam-2465	451	7	s	s	PROPN
ejpam-2465	451	8	,	,	PUNCT
ejpam-2465	451	9	y(s	y(s	PROPN
ejpam-2465	451	10	)	)	PUNCT
ejpam-2465	451	11	,	,	PUNCT
ejpam-2465	451	12	iβ	iβ	ADP
ejpam-2465	451	13	y(s))−	y(s))−	NOUN
ejpam-2465	451	14	f	f	X
ejpam-2465	451	15	(	(	PUNCT
ejpam-2465	451	16	s	s	PROPN
ejpam-2465	451	17	,	,	PUNCT
ejpam-2465	451	18	x(s	x(s	PROPN
ejpam-2465	451	19	)	)	PUNCT
ejpam-2465	451	20	,	,	PUNCT
ejpam-2465	451	21	iβ	iβ	ADP
ejpam-2465	451	22	x(s))|ds	x(s))|ds	PROPN
ejpam-2465	451	23	m.	m.	PROPN
ejpam-2465	451	24	abbas	abbas	PROPN
ejpam-2465	451	25	/	/	SYM
ejpam-2465	451	26	eur	eur	PROPN
ejpam-2465	451	27	.	.	PUNCT
ejpam-2465	452	1	j.	j.	PROPN
ejpam-2465	452	2	pure	pure	PROPN
ejpam-2465	452	3	appl	appl	PROPN
ejpam-2465	452	4	.	.	PROPN
ejpam-2465	452	5	math	math	PROPN
ejpam-2465	452	6	,	,	PUNCT
ejpam-2465	452	7	8	8	NUM
ejpam-2465	452	8	(	(	PUNCT
ejpam-2465	452	9	2015	2015	NUM
ejpam-2465	452	10	)	)	PUNCT
ejpam-2465	452	11	,	,	PUNCT
ejpam-2465	452	12	478	478	NUM
ejpam-2465	452	13	-	-	SYM
ejpam-2465	452	14	498	498	NUM
ejpam-2465	452	15	495	495	NUM
ejpam-2465	452	16	≤	≤	NUM
ejpam-2465	452	17	m	m	VERB
ejpam-2465	452	18	bα	bα	NOUN
ejpam-2465	452	19	γ(α+	γ(α+	DET
ejpam-2465	452	20	1	1	NUM
ejpam-2465	452	21	)	)	PUNCT
ejpam-2465	452	22	ε+	ε+	X
ejpam-2465	452	23	αm	αm	NOUN
ejpam-2465	452	24	l	l	NOUN
ejpam-2465	452	25	f	f	PROPN
ejpam-2465	453	1	γ(α+	γ(α+	DET
ejpam-2465	453	2	1	1	NUM
ejpam-2465	453	3	)	)	PUNCT
ejpam-2465	453	4	�	�	PROPN
ejpam-2465	453	5	∫	∫	PROPN
ejpam-2465	453	6	t	t	PROPN
ejpam-2465	453	7	0	0	NUM
ejpam-2465	453	8	(	(	PUNCT
ejpam-2465	453	9	t	t	PROPN
ejpam-2465	453	10	−	−	PROPN
ejpam-2465	453	11	s)α−1|x(s)−	s)α−1|x(s)−	PROPN
ejpam-2465	453	12	y(s)|ds	y(s)|ds	NOUN
ejpam-2465	454	1	+	+	CCONJ
ejpam-2465	454	2	1	1	NUM
ejpam-2465	454	3	γ(β	γ(β	PROPN
ejpam-2465	454	4	)	)	PUNCT
ejpam-2465	454	5	∫	∫	PROPN
ejpam-2465	455	1	t	t	PROPN
ejpam-2465	455	2	0	0	NUM
ejpam-2465	456	1	∫	∫	PROPN
ejpam-2465	456	2	s	s	PART
ejpam-2465	456	3	0	0	NUM
ejpam-2465	456	4	(	(	PUNCT
ejpam-2465	456	5	t	t	PROPN
ejpam-2465	456	6	−	−	PROPN
ejpam-2465	456	7	s)α−1(s−τ)β−1|x(τ)−	s)α−1(s−τ)β−1|x(τ)−	PROPN
ejpam-2465	456	8	y(τ)|dτds	y(τ)|dτds	PROPN
ejpam-2465	456	9	�	�	PROPN
ejpam-2465	456	10	.	.	PUNCT
ejpam-2465	457	1	using	use	VERB
ejpam-2465	457	2	a	a	DET
ejpam-2465	457	3	similar	similar	ADJ
ejpam-2465	457	4	manner	manner	NOUN
ejpam-2465	457	5	of	of	ADP
ejpam-2465	457	6	the	the	DET
ejpam-2465	457	7	second	second	ADJ
ejpam-2465	457	8	integral	integral	NOUN
ejpam-2465	457	9	as	as	ADP
ejpam-2465	457	10	in	in	ADP
ejpam-2465	457	11	proof	proof	NOUN
ejpam-2465	457	12	of	of	ADP
ejpam-2465	457	13	theorem	theorem	NOUN
ejpam-2465	457	14	3	3	NUM
ejpam-2465	457	15	,	,	PUNCT
ejpam-2465	457	16	we	we	PRON
ejpam-2465	457	17	get	get	VERB
ejpam-2465	457	18	|y(t)−	|y(t)−	PROPN
ejpam-2465	457	19	x(t)|	x(t)|	PROPN
ejpam-2465	457	20	≤	≤	NUM
ejpam-2465	457	21	m	m	VERB
ejpam-2465	457	22	bα	bα	NOUN
ejpam-2465	457	23	γ(α+	γ(α+	DET
ejpam-2465	457	24	1	1	NUM
ejpam-2465	457	25	)	)	PUNCT
ejpam-2465	457	26	ε+	ε+	X
ejpam-2465	457	27	αm	αm	NOUN
ejpam-2465	457	28	l	l	NOUN
ejpam-2465	457	29	f	f	PROPN
ejpam-2465	458	1	γ(α+	γ(α+	DET
ejpam-2465	458	2	1	1	NUM
ejpam-2465	458	3	)	)	PUNCT
ejpam-2465	458	4	∫	∫	PROPN
ejpam-2465	458	5	t	t	PROPN
ejpam-2465	458	6	0	0	NUM
ejpam-2465	458	7	(	(	PUNCT
ejpam-2465	458	8	t	t	PROPN
ejpam-2465	458	9	−	−	PROPN
ejpam-2465	458	10	s)α−1|x(s)−	s)α−1|x(s)−	PROPN
ejpam-2465	458	11	y(s)|ds	y(s)|ds	PROPN
ejpam-2465	459	1	+	+	CCONJ
ejpam-2465	460	1	m	m	VERB
ejpam-2465	460	2	l	l	NOUN
ejpam-2465	460	3	f	f	X
ejpam-2465	460	4	γ(α+	γ(α+	X
ejpam-2465	460	5	β	β	X
ejpam-2465	460	6	)	)	PUNCT
ejpam-2465	460	7	∫	∫	PROPN
ejpam-2465	460	8	t	t	PROPN
ejpam-2465	460	9	0	0	NUM
ejpam-2465	460	10	(	(	PUNCT
ejpam-2465	460	11	t	t	PROPN
ejpam-2465	460	12	−	−	PROPN
ejpam-2465	460	13	s)α+β−1|x(s)−	s)α+β−1|x(s)−	PRON
ejpam-2465	460	14	y(s)|ds	y(s)|ds	PROPN
ejpam-2465	460	15	.	.	PUNCT
ejpam-2465	461	1	an	an	DET
ejpam-2465	461	2	application	application	NOUN
ejpam-2465	461	3	of	of	ADP
ejpam-2465	461	4	remark	remark	NOUN
ejpam-2465	461	5	2	2	NUM
ejpam-2465	461	6	and	and	CCONJ
ejpam-2465	461	7	remark	remark	NOUN
ejpam-2465	461	8	3	3	NUM
ejpam-2465	461	9	(	(	PUNCT
ejpam-2465	461	10	with	with	ADP
ejpam-2465	461	11	b1	b1	NOUN
ejpam-2465	461	12	=	=	SYM
ejpam-2465	461	13	αm	αm	NOUN
ejpam-2465	461	14	l	l	NOUN
ejpam-2465	461	15	f	f	X
ejpam-2465	461	16	γ(α+1	γ(α+1	NOUN
ejpam-2465	461	17	)	)	PUNCT
ejpam-2465	461	18	,	,	PUNCT
ejpam-2465	461	19	b2	b2	NOUN
ejpam-2465	461	20	=	=	SYM
ejpam-2465	461	21	m	m	PROPN
ejpam-2465	461	22	l	l	NOUN
ejpam-2465	461	23	f	f	NOUN
ejpam-2465	461	24	γ(α+β	γ(α+β	NOUN
ejpam-2465	461	25	)	)	PUNCT
ejpam-2465	461	26	,	,	PUNCT
ejpam-2465	461	27	β1	β1	PROPN
ejpam-2465	461	28	=	=	PUNCT
ejpam-2465	461	29	α	α	PROPN
ejpam-2465	461	30	and	and	CCONJ
ejpam-2465	461	31	β2	β2	NOUN
ejpam-2465	461	32	=	=	SYM
ejpam-2465	461	33	α+	α+	X
ejpam-2465	461	34	β	β	NOUN
ejpam-2465	461	35	)	)	PUNCT
ejpam-2465	461	36	to	to	ADP
ejpam-2465	461	37	the	the	DET
ejpam-2465	461	38	last	last	ADJ
ejpam-2465	461	39	inequality	inequality	NOUN
ejpam-2465	461	40	yields	yield	VERB
ejpam-2465	461	41	the	the	DET
ejpam-2465	461	42	desired	desire	VERB
ejpam-2465	461	43	estimation	estimation	NOUN
ejpam-2465	461	44	|y(t)−	|y(t)−	PROPN
ejpam-2465	461	45	x(t)|	x(t)|	PROPN
ejpam-2465	461	46	≤	≤	NUM
ejpam-2465	461	47	m	m	VERB
ejpam-2465	461	48	bα	bα	NOUN
ejpam-2465	461	49	γ(α+	γ(α+	DET
ejpam-2465	461	50	1	1	NUM
ejpam-2465	461	51	)	)	PUNCT
ejpam-2465	461	52	�	�	PROPN
ejpam-2465	461	53	eα	eα	NOUN
ejpam-2465	461	54	�	�	PROPN
ejpam-2465	461	55	m	m	PROPN
ejpam-2465	461	56	l	l	NOUN
ejpam-2465	461	57	f	f	NOUN
ejpam-2465	461	58	tα	tα	PROPN
ejpam-2465	461	59	�	�	PROPN
ejpam-2465	461	60	+	+	CCONJ
ejpam-2465	461	61	eα+β	eα+β	PRON
ejpam-2465	461	62	�	�	PROPN
ejpam-2465	461	63	m	m	VERB
ejpam-2465	461	64	l	l	NOUN
ejpam-2465	461	65	f	f	NOUN
ejpam-2465	461	66	tα+β	tα+β	PROPN
ejpam-2465	461	67	�	�	PROPN
ejpam-2465	461	68	�	�	PROPN
ejpam-2465	461	69	ε	ε	PROPN
ejpam-2465	461	70	.	.	PUNCT
ejpam-2465	462	1	thus	thus	ADV
ejpam-2465	462	2	,	,	PUNCT
ejpam-2465	462	3	the	the	DET
ejpam-2465	462	4	conclusion	conclusion	NOUN
ejpam-2465	462	5	of	of	ADP
ejpam-2465	462	6	our	our	PRON
ejpam-2465	462	7	theorem	theorem	NOUN
ejpam-2465	462	8	hold	hold	NOUN
ejpam-2465	462	9	.	.	PUNCT
ejpam-2465	463	1	the	the	DET
ejpam-2465	463	2	following	follow	VERB
ejpam-2465	463	3	theorem	theorem	NOUN
ejpam-2465	463	4	gives	give	VERB
ejpam-2465	463	5	generalized	generalize	VERB
ejpam-2465	463	6	mittag	mittag	ADJ
ejpam-2465	463	7	-	-	PUNCT
ejpam-2465	463	8	leffler	leffler	NOUN
ejpam-2465	463	9	-	-	PUNCT
ejpam-2465	463	10	ulam	ulam	NOUN
ejpam-2465	463	11	-	-	PUNCT
ejpam-2465	463	12	hyers	hyer	NOUN
ejpam-2465	463	13	stability	stability	NOUN
ejpam-2465	463	14	.	.	PUNCT
ejpam-2465	464	1	theorem	theorem	VERB
ejpam-2465	464	2	5	5	NUM
ejpam-2465	464	3	.	.	PUNCT
ejpam-2465	465	1	if	if	SCONJ
ejpam-2465	465	2	assumptions	assumption	NOUN
ejpam-2465	465	3	(	(	PUNCT
ejpam-2465	465	4	h3	h3	NOUN
ejpam-2465	465	5	)	)	PUNCT
ejpam-2465	465	6	and	and	CCONJ
ejpam-2465	465	7	(	(	PUNCT
ejpam-2465	465	8	h4	h4	NOUN
ejpam-2465	465	9	)	)	PUNCT
ejpam-2465	465	10	are	be	AUX
ejpam-2465	465	11	satisfied	satisfied	ADJ
ejpam-2465	465	12	.	.	PUNCT
ejpam-2465	466	1	suppose	suppose	VERB
ejpam-2465	466	2	there	there	PRON
ejpam-2465	466	3	exist	exist	VERB
ejpam-2465	466	4	λ	λ	PROPN
ejpam-2465	466	5	>	>	X
ejpam-2465	466	6	0	0	NUM
ejpam-2465	467	1	such	such	ADJ
ejpam-2465	467	2	that	that	SCONJ
ejpam-2465	467	3	1	1	NUM
ejpam-2465	467	4	γ(α	γ(α	NOUN
ejpam-2465	467	5	)	)	PUNCT
ejpam-2465	467	6	∫	∫	PROPN
ejpam-2465	467	7	t	t	PROPN
ejpam-2465	467	8	0	0	NUM
ejpam-2465	467	9	(	(	PUNCT
ejpam-2465	467	10	t	t	NOUN
ejpam-2465	467	11	−	−	PROPN
ejpam-2465	467	12	s)α−1ϕ(s)ds	s)α−1ϕ(s)ds	NOUN
ejpam-2465	467	13	≤	≤	NUM
ejpam-2465	467	14	λϕ(t	λϕ(t	NUM
ejpam-2465	467	15	)	)	PUNCT
ejpam-2465	467	16	,	,	PUNCT
ejpam-2465	467	17	for	for	ADP
ejpam-2465	467	18	all	all	DET
ejpam-2465	467	19	t	t	NOUN
ejpam-2465	467	20	∈	∈	PROPN
ejpam-2465	467	21	j	j	PROPN
ejpam-2465	467	22	,	,	PUNCT
ejpam-2465	467	23	where	where	SCONJ
ejpam-2465	467	24	ϕ	ϕ	PROPN
ejpam-2465	467	25	∈	∈	PROPN
ejpam-2465	467	26	c(j	c(j	PROPN
ejpam-2465	467	27	,	,	PUNCT
ejpam-2465	467	28	r+	r+	X
ejpam-2465	467	29	)	)	PUNCT
ejpam-2465	467	30	is	be	AUX
ejpam-2465	467	31	nondecreasing	nondecrease	VERB
ejpam-2465	467	32	.	.	PUNCT
ejpam-2465	468	1	then	then	ADV
ejpam-2465	468	2	the	the	DET
ejpam-2465	468	3	nonlocal	nonlocal	ADJ
ejpam-2465	468	4	cauchy	cauchy	ADJ
ejpam-2465	468	5	problem	problem	NOUN
ejpam-2465	468	6	(	(	PUNCT
ejpam-2465	468	7	1	1	X
ejpam-2465	468	8	)	)	PUNCT
ejpam-2465	468	9	is	be	AUX
ejpam-2465	468	10	generalized	generalize	VERB
ejpam-2465	468	11	mittag	mittag	ADJ
ejpam-2465	468	12	-	-	PUNCT
ejpam-2465	468	13	leffler	leffler	NOUN
ejpam-2465	468	14	-	-	PUNCT
ejpam-2465	468	15	ulam	ulam	NOUN
ejpam-2465	468	16	-	-	PUNCT
ejpam-2465	468	17	hyers	hyer	NOUN
ejpam-2465	468	18	stable	stable	ADJ
ejpam-2465	468	19	with	with	ADP
ejpam-2465	468	20	respect	respect	NOUN
ejpam-2465	468	21	to	to	ADP
ejpam-2465	468	22	ϕeα	ϕeα	NOUN
ejpam-2465	468	23	.	.	PUNCT
ejpam-2465	469	1	proof	proof	NOUN
ejpam-2465	469	2	.	.	PUNCT
ejpam-2465	470	1	let	let	VERB
ejpam-2465	470	2	y	y	PROPN
ejpam-2465	470	3	∈	∈	PROPN
ejpam-2465	470	4	c1(j	c1(j	PROPN
ejpam-2465	470	5	,	,	PUNCT
ejpam-2465	470	6	e	e	X
ejpam-2465	470	7	)	)	PUNCT
ejpam-2465	470	8	is	be	AUX
ejpam-2465	470	9	a	a	DET
ejpam-2465	470	10	solution	solution	NOUN
ejpam-2465	470	11	of	of	ADP
ejpam-2465	470	12	the	the	DET
ejpam-2465	470	13	inequality	inequality	NOUN
ejpam-2465	470	14	(	(	PUNCT
ejpam-2465	470	15	11	11	NUM
ejpam-2465	470	16	)	)	PUNCT
ejpam-2465	470	17	.	.	PUNCT
ejpam-2465	471	1	by	by	ADP
ejpam-2465	471	2	remark	remark	NOUN
ejpam-2465	471	3	5	5	NUM
ejpam-2465	471	4	,	,	PUNCT
ejpam-2465	471	5	we	we	PRON
ejpam-2465	471	6	have	have	VERB
ejpam-2465	471	7	for	for	ADP
ejpam-2465	471	8	t	t	PROPN
ejpam-2465	471	9	∈	∈	PROPN
ejpam-2465	471	10	j	j	PROPN
ejpam-2465	471	11	that	that	SCONJ
ejpam-2465	471	12	y	y	PROPN
ejpam-2465	471	13	is	be	AUX
ejpam-2465	471	14	a	a	DET
ejpam-2465	471	15	solution	solution	NOUN
ejpam-2465	471	16	of	of	ADP
ejpam-2465	471	17	the	the	DET
ejpam-2465	471	18	following	follow	VERB
ejpam-2465	471	19	integral	integral	ADJ
ejpam-2465	471	20	inequality	inequality	NOUN
ejpam-2465	471	21	�	�	PROPN
ejpam-2465	471	22	�	�	PROPN
ejpam-2465	471	23	�	�	PROPN
ejpam-2465	471	24	�	�	PROPN
ejpam-2465	471	25	�	�	PROPN
ejpam-2465	471	26	y(t)−	y(t)−	PROPN
ejpam-2465	471	27	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	471	28	−	−	PROPN
ejpam-2465	472	1	g(y))−	g(y))−	ADJ
ejpam-2465	472	2	∫	∫	PROPN
ejpam-2465	472	3	t	t	NOUN
ejpam-2465	472	4	0	0	NUM
ejpam-2465	473	1	(	(	PUNCT
ejpam-2465	473	2	t	t	NOUN
ejpam-2465	473	3	−	−	PROPN
ejpam-2465	473	4	s)α−1	s)α−1	NOUN
ejpam-2465	473	5	t	t	PROPN
ejpam-2465	473	6	(	(	PUNCT
ejpam-2465	473	7	t	t	PROPN
ejpam-2465	473	8	−	−	PROPN
ejpam-2465	473	9	s	s	PART
ejpam-2465	473	10	)	)	PUNCT
ejpam-2465	473	11	f	f	PROPN
ejpam-2465	473	12	(	(	PUNCT
ejpam-2465	473	13	s	s	PROPN
ejpam-2465	473	14	,	,	PUNCT
ejpam-2465	473	15	y(s	y(s	PROPN
ejpam-2465	473	16	)	)	PUNCT
ejpam-2465	473	17	,	,	PUNCT
ejpam-2465	473	18	iβ	iβ	ADP
ejpam-2465	473	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	473	20	�	�	PROPN
ejpam-2465	473	21	�	�	PROPN
ejpam-2465	473	22	�	�	PROPN
ejpam-2465	473	23	�	�	PROPN
ejpam-2465	473	24	�	�	PROPN
ejpam-2465	473	25	≤	≤	PROPN
ejpam-2465	473	26	mλ	mλ	VERB
ejpam-2465	473	27	ϕ(t	ϕ(t	NUM
ejpam-2465	473	28	)	)	PUNCT
ejpam-2465	473	29	.	.	PUNCT
ejpam-2465	474	1	let	let	VERB
ejpam-2465	474	2	us	we	PRON
ejpam-2465	474	3	denote	denote	VERB
ejpam-2465	474	4	by	by	ADP
ejpam-2465	474	5	x	x	PROPN
ejpam-2465	474	6	∈	∈	PROPN
ejpam-2465	474	7	c(j	c(j	PROPN
ejpam-2465	474	8	,	,	PUNCT
ejpam-2465	474	9	e	e	X
ejpam-2465	474	10	)	)	PUNCT
ejpam-2465	474	11	the	the	DET
ejpam-2465	474	12	unique	unique	ADJ
ejpam-2465	474	13	mild	mild	ADJ
ejpam-2465	474	14	solution	solution	NOUN
ejpam-2465	474	15	of	of	ADP
ejpam-2465	474	16	the	the	DET
ejpam-2465	474	17	nonlocal	nonlocal	ADJ
ejpam-2465	474	18	cauchy	cauchy	ADJ
ejpam-2465	474	19	problem	problem	NOUN
ejpam-2465	474	20	¨	¨	NOUN
ejpam-2465	474	21	c	c	PROPN
ejpam-2465	474	22	dαx(t	dαx(t	PROPN
ejpam-2465	474	23	)	)	PUNCT
ejpam-2465	474	24	=	=	PUNCT
ejpam-2465	474	25	ax(t	ax(t	NUM
ejpam-2465	474	26	)	)	PUNCT
ejpam-2465	475	1	+	+	CCONJ
ejpam-2465	475	2	f	f	X
ejpam-2465	475	3	(	(	PUNCT
ejpam-2465	475	4	t	t	PROPN
ejpam-2465	475	5	,	,	PUNCT
ejpam-2465	475	6	x(t	x(t	PROPN
ejpam-2465	475	7	)	)	PUNCT
ejpam-2465	475	8	,	,	PUNCT
ejpam-2465	475	9	iβ	iβ	ADP
ejpam-2465	475	10	x(t	x(t	PROPN
ejpam-2465	475	11	)	)	PUNCT
ejpam-2465	475	12	)	)	PUNCT
ejpam-2465	475	13	,	,	PUNCT
ejpam-2465	475	14	t	t	PROPN
ejpam-2465	475	15	∈	∈	PROPN
ejpam-2465	475	16	j	j	PROPN
ejpam-2465	475	17	x(0	x(0	PROPN
ejpam-2465	475	18	)	)	PUNCT
ejpam-2465	475	19	=	=	SYM
ejpam-2465	475	20	y(0	y(0	PROPN
ejpam-2465	475	21	)	)	PUNCT
ejpam-2465	475	22	.	.	PUNCT
ejpam-2465	476	1	(	(	PUNCT
ejpam-2465	476	2	14	14	NUM
ejpam-2465	476	3	)	)	PUNCT
ejpam-2465	476	4	we	we	PRON
ejpam-2465	476	5	have	have	VERB
ejpam-2465	476	6	x(t	x(t	PROPN
ejpam-2465	476	7	)	)	PUNCT
ejpam-2465	477	1	=	=	SYM
ejpam-2465	477	2	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	477	3	−	−	PROPN
ejpam-2465	477	4	g(y	g(y	NOUN
ejpam-2465	477	5	)	)	PUNCT
ejpam-2465	477	6	)	)	PUNCT
ejpam-2465	478	1	+	+	CCONJ
ejpam-2465	478	2	∫	∫	PROPN
ejpam-2465	478	3	t	t	PROPN
ejpam-2465	478	4	0	0	NUM
ejpam-2465	478	5	(	(	PUNCT
ejpam-2465	478	6	t	t	NOUN
ejpam-2465	478	7	−	−	PROPN
ejpam-2465	478	8	s)α−1	s)α−1	NOUN
ejpam-2465	478	9	t	t	PROPN
ejpam-2465	478	10	(	(	PUNCT
ejpam-2465	478	11	t	t	PROPN
ejpam-2465	478	12	−	−	PROPN
ejpam-2465	478	13	s	s	PART
ejpam-2465	478	14	)	)	PUNCT
ejpam-2465	478	15	f	f	PROPN
ejpam-2465	478	16	(	(	PUNCT
ejpam-2465	478	17	s	s	PROPN
ejpam-2465	478	18	,	,	PUNCT
ejpam-2465	478	19	y(s	y(s	PROPN
ejpam-2465	478	20	)	)	PUNCT
ejpam-2465	478	21	,	,	PUNCT
ejpam-2465	478	22	iβ	iβ	ADP
ejpam-2465	478	23	y(s))ds	y(s))ds	PROPN
ejpam-2465	478	24	.	.	PUNCT
ejpam-2465	479	1	m.	m.	PROPN
ejpam-2465	479	2	abbas	abbas	PROPN
ejpam-2465	479	3	/	/	SYM
ejpam-2465	479	4	eur	eur	PROPN
ejpam-2465	479	5	.	.	PUNCT
ejpam-2465	480	1	j.	j.	PROPN
ejpam-2465	480	2	pure	pure	PROPN
ejpam-2465	480	3	appl	appl	PROPN
ejpam-2465	480	4	.	.	PROPN
ejpam-2465	480	5	math	math	PROPN
ejpam-2465	480	6	,	,	PUNCT
ejpam-2465	480	7	8	8	NUM
ejpam-2465	480	8	(	(	PUNCT
ejpam-2465	480	9	2015	2015	NUM
ejpam-2465	480	10	)	)	PUNCT
ejpam-2465	480	11	,	,	PUNCT
ejpam-2465	480	12	478	478	NUM
ejpam-2465	480	13	-	-	SYM
ejpam-2465	480	14	498	498	NUM
ejpam-2465	480	15	496	496	NUM
ejpam-2465	480	16	then	then	ADV
ejpam-2465	480	17	we	we	PRON
ejpam-2465	480	18	get	get	VERB
ejpam-2465	481	1	�	�	PROPN
ejpam-2465	481	2	�	�	PROPN
ejpam-2465	481	3	�	�	PROPN
ejpam-2465	481	4	�	�	PROPN
ejpam-2465	481	5	y(t)−	y(t)−	PROPN
ejpam-2465	481	6	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	481	7	−	−	PROPN
ejpam-2465	481	8	g(y))−	g(y))−	ADJ
ejpam-2465	481	9	∫	∫	PROPN
ejpam-2465	481	10	t	t	NOUN
ejpam-2465	481	11	0	0	NUM
ejpam-2465	482	1	(	(	PUNCT
ejpam-2465	482	2	t	t	NOUN
ejpam-2465	482	3	−	−	PROPN
ejpam-2465	482	4	s)α−1	s)α−1	NOUN
ejpam-2465	482	5	t	t	PROPN
ejpam-2465	482	6	(	(	PUNCT
ejpam-2465	482	7	t	t	PROPN
ejpam-2465	482	8	−	−	PROPN
ejpam-2465	482	9	s	s	PART
ejpam-2465	482	10	)	)	PUNCT
ejpam-2465	482	11	f	f	PROPN
ejpam-2465	482	12	(	(	PUNCT
ejpam-2465	482	13	s	s	PROPN
ejpam-2465	482	14	,	,	PUNCT
ejpam-2465	482	15	y(s	y(s	PROPN
ejpam-2465	482	16	)	)	PUNCT
ejpam-2465	482	17	,	,	PUNCT
ejpam-2465	482	18	iβ	iβ	ADP
ejpam-2465	482	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	482	20	�	�	PROPN
ejpam-2465	482	21	�	�	PROPN
ejpam-2465	482	22	�	�	PROPN
ejpam-2465	482	23	�	�	PROPN
ejpam-2465	482	24	≤	≤	PROPN
ejpam-2465	482	25	�	�	PROPN
ejpam-2465	482	26	�	�	PROPN
ejpam-2465	482	27	�	�	PROPN
ejpam-2465	482	28	�	�	PROPN
ejpam-2465	482	29	�	�	PROPN
ejpam-2465	482	30	∫	∫	PROPN
ejpam-2465	482	31	t	t	PROPN
ejpam-2465	482	32	0	0	NUM
ejpam-2465	482	33	(	(	PUNCT
ejpam-2465	482	34	t	t	NOUN
ejpam-2465	482	35	−	−	PROPN
ejpam-2465	482	36	s)α−1	s)α−1	NOUN
ejpam-2465	482	37	t	t	PROPN
ejpam-2465	482	38	(	(	PUNCT
ejpam-2465	482	39	t	t	PROPN
ejpam-2465	482	40	−	−	PROPN
ejpam-2465	482	41	s)ϕ(s)ds	s)ϕ(s)ds	PROPN
ejpam-2465	482	42	�	�	PROPN
ejpam-2465	482	43	�	�	PROPN
ejpam-2465	482	44	�	�	PROPN
ejpam-2465	482	45	�	�	PROPN
ejpam-2465	482	46	�	�	PROPN
ejpam-2465	483	1	≤α	≤α	NOUN
ejpam-2465	483	2	∫	∫	PROPN
ejpam-2465	483	3	t	t	PROPN
ejpam-2465	483	4	0	0	NUM
ejpam-2465	483	5	∫	∫	PROPN
ejpam-2465	483	6	∞	∞	NUM
ejpam-2465	484	1	0	0	NUM
ejpam-2465	484	2	θ	θ	PROPN
ejpam-2465	484	3	(	(	PUNCT
ejpam-2465	484	4	t	t	NOUN
ejpam-2465	484	5	−	−	PROPN
ejpam-2465	484	6	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	484	7	)	)	PUNCT
ejpam-2465	484	8	q((t	q((t	NOUN
ejpam-2465	484	9	−	−	PROPN
ejpam-2465	484	10	s)α−1θ	s)α−1θ	PROPN
ejpam-2465	484	11	)	)	PUNCT
ejpam-2465	484	12	ϕ(s)dθds	ϕ(s)dθds	NOUN
ejpam-2465	484	13	≤	≤	NUM
ejpam-2465	484	14	αm	αm	PRON
ejpam-2465	484	15	γ(α+	γ(α+	PRON
ejpam-2465	484	16	1	1	NUM
ejpam-2465	484	17	)	)	PUNCT
ejpam-2465	484	18	∫	∫	PROPN
ejpam-2465	484	19	t	t	PROPN
ejpam-2465	484	20	0	0	NUM
ejpam-2465	485	1	(	(	PUNCT
ejpam-2465	485	2	t	t	NOUN
ejpam-2465	485	3	−	−	PROPN
ejpam-2465	485	4	s)α−1ϕ(s)ds	s)α−1ϕ(s)ds	NOUN
ejpam-2465	485	5	≤mλ	≤mλ	NOUN
ejpam-2465	485	6	ϕ(t	ϕ(t	NUM
ejpam-2465	485	7	)	)	PUNCT
ejpam-2465	485	8	.	.	PUNCT
ejpam-2465	486	1	again	again	ADV
ejpam-2465	486	2	,	,	PUNCT
ejpam-2465	486	3	from	from	ADP
ejpam-2465	486	4	these	these	DET
ejpam-2465	486	5	relations	relation	NOUN
ejpam-2465	486	6	,	,	PUNCT
ejpam-2465	486	7	we	we	PRON
ejpam-2465	486	8	have	have	VERB
ejpam-2465	486	9	|y(t)−	|y(t)−	PROPN
ejpam-2465	486	10	x(t)|=	x(t)|=	NUM
ejpam-2465	486	11	�	�	PROPN
ejpam-2465	486	12	�	�	PROPN
ejpam-2465	486	13	�	�	PROPN
ejpam-2465	486	14	�	�	PROPN
ejpam-2465	486	15	�	�	PROPN
ejpam-2465	486	16	y(t)−	y(t)−	PROPN
ejpam-2465	486	17	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	486	18	−	−	PROPN
ejpam-2465	487	1	g(y))−	g(y))−	ADJ
ejpam-2465	487	2	∫	∫	PROPN
ejpam-2465	487	3	t	t	NOUN
ejpam-2465	487	4	0	0	NUM
ejpam-2465	488	1	(	(	PUNCT
ejpam-2465	488	2	t	t	NOUN
ejpam-2465	488	3	−	−	PROPN
ejpam-2465	488	4	s)α−1	s)α−1	NOUN
ejpam-2465	488	5	t	t	PROPN
ejpam-2465	488	6	(	(	PUNCT
ejpam-2465	488	7	t	t	PROPN
ejpam-2465	488	8	−	−	PROPN
ejpam-2465	488	9	s	s	PART
ejpam-2465	488	10	)	)	PUNCT
ejpam-2465	488	11	f	f	PROPN
ejpam-2465	488	12	(	(	PUNCT
ejpam-2465	488	13	s	s	PROPN
ejpam-2465	488	14	,	,	PUNCT
ejpam-2465	488	15	x(s	x(s	PROPN
ejpam-2465	488	16	)	)	PUNCT
ejpam-2465	488	17	,	,	PUNCT
ejpam-2465	488	18	iβ	iβ	ADP
ejpam-2465	488	19	x(s))ds	x(s))ds	PROPN
ejpam-2465	488	20	�	�	PROPN
ejpam-2465	488	21	�	�	PROPN
ejpam-2465	488	22	�	�	PROPN
ejpam-2465	488	23	�	�	PROPN
ejpam-2465	488	24	�	�	PROPN
ejpam-2465	488	25	≤	≤	PROPN
ejpam-2465	488	26	�	�	PROPN
ejpam-2465	488	27	�	�	PROPN
ejpam-2465	488	28	�	�	PROPN
ejpam-2465	488	29	�	�	PROPN
ejpam-2465	488	30	�	�	PROPN
ejpam-2465	488	31	y(t)−	y(t)−	PROPN
ejpam-2465	488	32	s(t)(y0	s(t)(y0	NOUN
ejpam-2465	488	33	−	−	PROPN
ejpam-2465	488	34	g(y))−	g(y))−	ADJ
ejpam-2465	488	35	∫	∫	PROPN
ejpam-2465	488	36	t	t	NOUN
ejpam-2465	488	37	0	0	NUM
ejpam-2465	489	1	(	(	PUNCT
ejpam-2465	489	2	t	t	NOUN
ejpam-2465	489	3	−	−	PROPN
ejpam-2465	489	4	s)α−1	s)α−1	NOUN
ejpam-2465	489	5	t	t	PROPN
ejpam-2465	489	6	(	(	PUNCT
ejpam-2465	489	7	t	t	PROPN
ejpam-2465	489	8	−	−	PROPN
ejpam-2465	489	9	s	s	PART
ejpam-2465	489	10	)	)	PUNCT
ejpam-2465	489	11	f	f	PROPN
ejpam-2465	489	12	(	(	PUNCT
ejpam-2465	489	13	s	s	PROPN
ejpam-2465	489	14	,	,	PUNCT
ejpam-2465	489	15	y(s	y(s	PROPN
ejpam-2465	489	16	)	)	PUNCT
ejpam-2465	489	17	,	,	PUNCT
ejpam-2465	489	18	iβ	iβ	ADP
ejpam-2465	489	19	y(s))ds	y(s))ds	PROPN
ejpam-2465	489	20	�	�	PROPN
ejpam-2465	489	21	�	�	PROPN
ejpam-2465	489	22	�	�	PROPN
ejpam-2465	489	23	�	�	PROPN
ejpam-2465	489	24	�	�	PROPN
ejpam-2465	489	25	+	+	CCONJ
ejpam-2465	489	26	�	�	PROPN
ejpam-2465	489	27	�	�	PROPN
ejpam-2465	489	28	�	�	PROPN
ejpam-2465	489	29	�	�	PROPN
ejpam-2465	489	30	�	�	PROPN
ejpam-2465	489	31	∫	∫	PROPN
ejpam-2465	489	32	t	t	PROPN
ejpam-2465	489	33	0	0	NUM
ejpam-2465	489	34	(	(	PUNCT
ejpam-2465	489	35	t	t	NOUN
ejpam-2465	489	36	−	−	PROPN
ejpam-2465	489	37	s)α−1	s)α−1	NOUN
ejpam-2465	489	38	t	t	PROPN
ejpam-2465	489	39	(	(	PUNCT
ejpam-2465	489	40	t	t	PROPN
ejpam-2465	489	41	−	−	PROPN
ejpam-2465	489	42	s	s	PART
ejpam-2465	489	43	)	)	PUNCT
ejpam-2465	489	44	[	[	PUNCT
ejpam-2465	489	45	f	f	X
ejpam-2465	489	46	(	(	PUNCT
ejpam-2465	489	47	s	s	PROPN
ejpam-2465	489	48	,	,	PUNCT
ejpam-2465	489	49	y(s	y(s	PROPN
ejpam-2465	489	50	)	)	PUNCT
ejpam-2465	489	51	,	,	PUNCT
ejpam-2465	489	52	iβ	iβ	ADP
ejpam-2465	489	53	y(s))−	y(s))−	NOUN
ejpam-2465	489	54	f	f	X
ejpam-2465	489	55	(	(	PUNCT
ejpam-2465	489	56	s	s	PROPN
ejpam-2465	489	57	,	,	PUNCT
ejpam-2465	489	58	x(s	x(s	PROPN
ejpam-2465	489	59	)	)	PUNCT
ejpam-2465	489	60	,	,	PUNCT
ejpam-2465	489	61	iβ	iβ	ADP
ejpam-2465	489	62	x(s))]ds	x(s))]ds	PROPN
ejpam-2465	489	63	�	�	PROPN
ejpam-2465	489	64	�	�	PROPN
ejpam-2465	489	65	�	�	PROPN
ejpam-2465	489	66	�	�	PROPN
ejpam-2465	489	67	�	�	PROPN
ejpam-2465	489	68	≤mλ	≤mλ	PROPN
ejpam-2465	489	69	ϕ(t	ϕ(t	PROPN
ejpam-2465	489	70	)	)	PUNCT
ejpam-2465	490	1	+	+	NOUN
ejpam-2465	490	2	α	α	PROPN
ejpam-2465	490	3	�	�	PROPN
ejpam-2465	490	4	�	�	PROPN
ejpam-2465	490	5	�	�	PROPN
ejpam-2465	490	6	�	�	PROPN
ejpam-2465	490	7	�	�	PROPN
ejpam-2465	490	8	∫	∫	PROPN
ejpam-2465	490	9	t	t	AUX
ejpam-2465	490	10	0	0	NUM
ejpam-2465	490	11	∫	∫	PROPN
ejpam-2465	490	12	∞	∞	NUM
ejpam-2465	490	13	0	0	NUM
ejpam-2465	490	14	θ	θ	PROPN
ejpam-2465	490	15	(	(	PUNCT
ejpam-2465	490	16	t	t	NOUN
ejpam-2465	490	17	−	−	PROPN
ejpam-2465	490	18	s)α−1ξα(θ	s)α−1ξα(θ	PROPN
ejpam-2465	490	19	)	)	PUNCT
ejpam-2465	490	20	q((t	q((t	NOUN
ejpam-2465	490	21	−	−	PROPN
ejpam-2465	490	22	s)α−1θ	s)α−1θ	PROPN
ejpam-2465	490	23	)	)	PUNCT
ejpam-2465	490	24	×	×	NOUN
ejpam-2465	490	25	[	[	PUNCT
ejpam-2465	490	26	f	f	X
ejpam-2465	490	27	(	(	PUNCT
ejpam-2465	490	28	s	s	PROPN
ejpam-2465	490	29	,	,	PUNCT
ejpam-2465	490	30	y(s	y(s	PROPN
ejpam-2465	490	31	)	)	PUNCT
ejpam-2465	490	32	,	,	PUNCT
ejpam-2465	490	33	iβ	iβ	ADP
ejpam-2465	490	34	y(s))−	y(s))−	NOUN
ejpam-2465	490	35	f	f	X
ejpam-2465	490	36	(	(	PUNCT
ejpam-2465	490	37	s	s	PROPN
ejpam-2465	490	38	,	,	PUNCT
ejpam-2465	490	39	x(s	x(s	PROPN
ejpam-2465	490	40	)	)	PUNCT
ejpam-2465	490	41	,	,	PUNCT
ejpam-2465	490	42	iβ	iβ	ADP
ejpam-2465	490	43	x(s))]dθds	x(s))]dθds	PROPN
ejpam-2465	490	44	�	�	PROPN
ejpam-2465	490	45	�	�	PROPN
ejpam-2465	490	46	≤mλ	≤mλ	PROPN
ejpam-2465	490	47	ϕ(t	ϕ(t	PROPN
ejpam-2465	490	48	)	)	PUNCT
ejpam-2465	491	1	+	+	CCONJ
ejpam-2465	491	2	αm	αm	PRON
ejpam-2465	491	3	γ(α+	γ(α+	PRON
ejpam-2465	491	4	1	1	NUM
ejpam-2465	491	5	)	)	PUNCT
ejpam-2465	491	6	∫	∫	PROPN
ejpam-2465	491	7	t	t	PROPN
ejpam-2465	491	8	0	0	NUM
ejpam-2465	491	9	(	(	PUNCT
ejpam-2465	491	10	t	t	PROPN
ejpam-2465	491	11	−	−	PROPN
ejpam-2465	491	12	s)α−1|	s)α−1|	NOUN
ejpam-2465	491	13	f	f	X
ejpam-2465	491	14	(	(	PUNCT
ejpam-2465	491	15	s	s	PROPN
ejpam-2465	491	16	,	,	PUNCT
ejpam-2465	491	17	y(s	y(s	PROPN
ejpam-2465	491	18	)	)	PUNCT
ejpam-2465	491	19	,	,	PUNCT
ejpam-2465	491	20	iβ	iβ	ADP
ejpam-2465	491	21	y(s))−	y(s))−	NOUN
ejpam-2465	491	22	f	f	X
ejpam-2465	491	23	(	(	PUNCT
ejpam-2465	491	24	s	s	PROPN
ejpam-2465	491	25	,	,	PUNCT
ejpam-2465	491	26	x(s	x(s	PROPN
ejpam-2465	491	27	)	)	PUNCT
ejpam-2465	491	28	,	,	PUNCT
ejpam-2465	491	29	iβ	iβ	ADP
ejpam-2465	491	30	x(s))|ds	x(s))|ds	PROPN
ejpam-2465	491	31	≤mλ	≤mλ	PROPN
ejpam-2465	491	32	ϕ(t	ϕ(t	PROPN
ejpam-2465	491	33	)	)	PUNCT
ejpam-2465	492	1	+	+	NUM
ejpam-2465	492	2	αm	αm	NOUN
ejpam-2465	492	3	l	l	X
ejpam-2465	492	4	f	f	X
ejpam-2465	493	1	γ(α+	γ(α+	DET
ejpam-2465	493	2	1	1	NUM
ejpam-2465	493	3	)	)	PUNCT
ejpam-2465	493	4	�	�	PROPN
ejpam-2465	493	5	∫	∫	PROPN
ejpam-2465	493	6	t	t	PROPN
ejpam-2465	493	7	0	0	NUM
ejpam-2465	493	8	(	(	PUNCT
ejpam-2465	493	9	t	t	PROPN
ejpam-2465	493	10	−	−	PROPN
ejpam-2465	493	11	s)α−1|x(s)−	s)α−1|x(s)−	PROPN
ejpam-2465	493	12	y(s)|ds	y(s)|ds	NOUN
ejpam-2465	494	1	+	+	CCONJ
ejpam-2465	494	2	1	1	NUM
ejpam-2465	494	3	γ(β	γ(β	PROPN
ejpam-2465	494	4	)	)	PUNCT
ejpam-2465	494	5	∫	∫	PROPN
ejpam-2465	495	1	t	t	PROPN
ejpam-2465	495	2	0	0	NUM
ejpam-2465	496	1	∫	∫	PROPN
ejpam-2465	496	2	s	s	PART
ejpam-2465	496	3	0	0	NUM
ejpam-2465	496	4	(	(	PUNCT
ejpam-2465	496	5	t	t	PROPN
ejpam-2465	496	6	−	−	PROPN
ejpam-2465	496	7	s)α−1(s−τ)β−1|x(τ)−	s)α−1(s−τ)β−1|x(τ)−	PROPN
ejpam-2465	496	8	y(τ)|dτds	y(τ)|dτds	PROPN
ejpam-2465	496	9	�	�	PROPN
ejpam-2465	496	10	.	.	PUNCT
ejpam-2465	497	1	using	use	VERB
ejpam-2465	497	2	a	a	DET
ejpam-2465	497	3	similar	similar	ADJ
ejpam-2465	497	4	manner	manner	NOUN
ejpam-2465	497	5	of	of	ADP
ejpam-2465	497	6	the	the	DET
ejpam-2465	497	7	second	second	ADJ
ejpam-2465	497	8	integral	integral	NOUN
ejpam-2465	497	9	as	as	ADP
ejpam-2465	497	10	in	in	ADP
ejpam-2465	497	11	proof	proof	NOUN
ejpam-2465	497	12	of	of	ADP
ejpam-2465	497	13	theorem	theorem	NOUN
ejpam-2465	497	14	3	3	NUM
ejpam-2465	497	15	,	,	PUNCT
ejpam-2465	497	16	we	we	PRON
ejpam-2465	497	17	get	get	VERB
ejpam-2465	497	18	|y(t)−	|y(t)−	PROPN
ejpam-2465	497	19	x(t)|	x(t)|	PROPN
ejpam-2465	497	20	≤	≤	NUM
ejpam-2465	497	21	m	m	VERB
ejpam-2465	497	22	bα	bα	NOUN
ejpam-2465	497	23	γ(α+	γ(α+	DET
ejpam-2465	497	24	1	1	NUM
ejpam-2465	497	25	)	)	PUNCT
ejpam-2465	497	26	ε+	ε+	X
ejpam-2465	497	27	αm	αm	NOUN
ejpam-2465	497	28	l	l	NOUN
ejpam-2465	497	29	f	f	PROPN
ejpam-2465	498	1	γ(α+	γ(α+	DET
ejpam-2465	498	2	1	1	NUM
ejpam-2465	498	3	)	)	PUNCT
ejpam-2465	498	4	∫	∫	PROPN
ejpam-2465	498	5	t	t	PROPN
ejpam-2465	498	6	0	0	NUM
ejpam-2465	498	7	(	(	PUNCT
ejpam-2465	498	8	t	t	PROPN
ejpam-2465	498	9	−	−	PROPN
ejpam-2465	498	10	s)α−1|x(s)−	s)α−1|x(s)−	PROPN
ejpam-2465	498	11	y(s)|ds	y(s)|ds	PROPN
ejpam-2465	499	1	+	+	CCONJ
ejpam-2465	500	1	m	m	VERB
ejpam-2465	500	2	l	l	NOUN
ejpam-2465	500	3	f	f	X
ejpam-2465	500	4	γ(α+	γ(α+	X
ejpam-2465	500	5	β	β	X
ejpam-2465	500	6	)	)	PUNCT
ejpam-2465	500	7	∫	∫	PROPN
ejpam-2465	500	8	t	t	PROPN
ejpam-2465	500	9	0	0	NUM
ejpam-2465	500	10	(	(	PUNCT
ejpam-2465	500	11	t	t	PROPN
ejpam-2465	500	12	−	−	PROPN
ejpam-2465	500	13	s)α+β−1|x(s)−	s)α+β−1|x(s)−	PRON
ejpam-2465	500	14	y(s)|ds	y(s)|ds	PROPN
ejpam-2465	500	15	.	.	PUNCT
ejpam-2465	501	1	references	reference	NOUN
ejpam-2465	501	2	497	497	NUM
ejpam-2465	501	3	according	accord	VERB
ejpam-2465	501	4	to	to	ADP
ejpam-2465	501	5	remark	remark	NOUN
ejpam-2465	501	6	2	2	NUM
ejpam-2465	501	7	and	and	CCONJ
ejpam-2465	501	8	remark	remark	NOUN
ejpam-2465	501	9	3	3	NUM
ejpam-2465	501	10	,	,	PUNCT
ejpam-2465	501	11	we	we	PRON
ejpam-2465	501	12	obtain	obtain	VERB
ejpam-2465	501	13	our	our	PRON
ejpam-2465	501	14	required	require	VERB
ejpam-2465	501	15	assertion	assertion	NOUN
ejpam-2465	501	16	|y(t)−	|y(t)−	PROPN
ejpam-2465	501	17	x(t)|	x(t)|	SYM
ejpam-2465	502	1	≤	≤	NUM
ejpam-2465	502	2	mλ	mλ	PROPN
ejpam-2465	502	3	�	�	PROPN
ejpam-2465	502	4	eα	eα	PROPN
ejpam-2465	502	5	�	�	PROPN
ejpam-2465	502	6	m	m	PROPN
ejpam-2465	502	7	l	l	NOUN
ejpam-2465	502	8	f	f	NOUN
ejpam-2465	502	9	tα	tα	PROPN
ejpam-2465	502	10	�	�	PROPN
ejpam-2465	502	11	+	+	CCONJ
ejpam-2465	502	12	eα+β	eα+β	PRON
ejpam-2465	502	13	�	�	PROPN
ejpam-2465	502	14	m	m	VERB
ejpam-2465	502	15	l	l	NOUN
ejpam-2465	502	16	f	f	NOUN
ejpam-2465	502	17	tα+β	tα+β	PROPN
ejpam-2465	502	18	�	�	PROPN
ejpam-2465	502	19	�	�	PROPN
ejpam-2465	502	20	ϕ(t	ϕ(t	NUM
ejpam-2465	502	21	)	)	PUNCT
ejpam-2465	502	22	.	.	PUNCT
ejpam-2465	503	1	the	the	DET
ejpam-2465	503	2	conclusion	conclusion	NOUN
ejpam-2465	503	3	of	of	ADP
ejpam-2465	503	4	our	our	PRON
ejpam-2465	503	5	theorem	theorem	NOUN
ejpam-2465	503	6	hold	hold	NOUN
ejpam-2465	503	7	.	.	PUNCT
ejpam-2465	504	1	references	reference	NOUN
ejpam-2465	504	2	[	[	X
ejpam-2465	504	3	1	1	NUM
ejpam-2465	504	4	]	]	PUNCT
ejpam-2465	504	5	m.	m.	NOUN
ejpam-2465	504	6	i.	i.	PROPN
ejpam-2465	504	7	abbas	abbas	PROPN
ejpam-2465	504	8	.	.	PUNCT
ejpam-2465	505	1	existence	existence	NOUN
ejpam-2465	505	2	for	for	ADP
ejpam-2465	505	3	fractional	fractional	ADJ
ejpam-2465	505	4	order	order	NOUN
ejpam-2465	505	5	impulsive	impulsive	ADJ
ejpam-2465	505	6	integrodifferential	integrodifferential	ADJ
ejpam-2465	505	7	inclusions	inclusion	NOUN
ejpam-2465	505	8	with	with	ADP
ejpam-2465	505	9	nonlocal	nonlocal	ADJ
ejpam-2465	505	10	conditions	condition	NOUN
ejpam-2465	505	11	,	,	PUNCT
ejpam-2465	505	12	international	international	ADJ
ejpam-2465	505	13	journal	journal	NOUN
ejpam-2465	505	14	of	of	ADP
ejpam-2465	505	15	mathematical	mathematical	ADJ
ejpam-2465	505	16	analysis	analysis	NOUN
ejpam-2465	505	17	,	,	PUNCT
ejpam-2465	505	18	6(37	6(37	NUM
ejpam-2465	505	19	)	)	PUNCT
ejpam-2465	505	20	,	,	PUNCT
ejpam-2465	505	21	1813	1813	NUM
ejpam-2465	505	22	-	-	SYM
ejpam-2465	505	23	1828	1828	NUM
ejpam-2465	505	24	.	.	PUNCT
ejpam-2465	506	1	2012	2012	NUM
ejpam-2465	506	2	.	.	PUNCT
ejpam-2465	507	1	[	[	X
ejpam-2465	507	2	2	2	NUM
ejpam-2465	507	3	]	]	PUNCT
ejpam-2465	507	4	m.	m.	NOUN
ejpam-2465	507	5	i.	i.	PROPN
ejpam-2465	507	6	abbas	abbas	PROPN
ejpam-2465	507	7	.	.	PUNCT
ejpam-2465	508	1	on	on	ADP
ejpam-2465	508	2	the	the	DET
ejpam-2465	508	3	existence	existence	NOUN
ejpam-2465	508	4	of	of	ADP
ejpam-2465	508	5	mild	mild	ADJ
ejpam-2465	508	6	solutions	solution	NOUN
ejpam-2465	508	7	for	for	ADP
ejpam-2465	508	8	a	a	DET
ejpam-2465	508	9	class	class	NOUN
ejpam-2465	508	10	of	of	ADP
ejpam-2465	508	11	fractional	fractional	ADJ
ejpam-2465	508	12	differential	differential	ADJ
ejpam-2465	508	13	equations	equation	NOUN
ejpam-2465	508	14	with	with	ADP
ejpam-2465	508	15	nonlocal	nonlocal	ADJ
ejpam-2465	508	16	conditions	condition	NOUN
ejpam-2465	508	17	in	in	ADP
ejpam-2465	508	18	the	the	DET
ejpam-2465	508	19	α	α	NOUN
ejpam-2465	508	20	-	-	NOUN
ejpam-2465	508	21	norm	norm	NOUN
ejpam-2465	508	22	,	,	PUNCT
ejpam-2465	508	23	studia	studia	PROPN
ejpam-2465	508	24	scientiarum	scientiarum	PROPN
ejpam-2465	508	25	mathematicarum	mathematicarum	PROPN
ejpam-2465	508	26	hungarica	hungarica	PROPN
ejpam-2465	508	27	,	,	PUNCT
ejpam-2465	508	28	51(2	51(2	NUM
ejpam-2465	508	29	)	)	PUNCT
ejpam-2465	508	30	,	,	PUNCT
ejpam-2465	508	31	141	141	NUM
ejpam-2465	508	32	-	-	SYM
ejpam-2465	508	33	154	154	NUM
ejpam-2465	508	34	.	.	PUNCT
ejpam-2465	508	35	2014	2014	NUM
ejpam-2465	508	36	.	.	PUNCT
ejpam-2465	509	1	[	[	X
ejpam-2465	509	2	3	3	X
ejpam-2465	509	3	]	]	PUNCT
ejpam-2465	509	4	l.	l.	PROPN
ejpam-2465	509	5	cãdariu	cãdariu	PROPN
ejpam-2465	509	6	.	.	PUNCT
ejpam-2465	510	1	stabilitatea	stabilitatea	VERB
ejpam-2465	510	2	ulam	ulam	PROPN
ejpam-2465	510	3	-	-	PUNCT
ejpam-2465	510	4	hyers	hyer	NOUN
ejpam-2465	510	5	-	-	PUNCT
ejpam-2465	510	6	bourgin	bourgin	ADJ
ejpam-2465	510	7	pentru	pentru	NOUN
ejpam-2465	510	8	ecuatii	ecuatii	PROPN
ejpam-2465	510	9	functionale	functionale	PROPN
ejpam-2465	510	10	,	,	PUNCT
ejpam-2465	511	1	ed	ed	NOUN
ejpam-2465	511	2	.	.	PUNCT
ejpam-2465	511	3	univ	univ	PROPN
ejpam-2465	511	4	.	.	PUNCT
ejpam-2465	512	1	vest	vest	PROPN
ejpam-2465	512	2	timi̧soara	timi̧soara	PROPN
ejpam-2465	512	3	,	,	PUNCT
ejpam-2465	512	4	timi̧sara	timi̧sara	NOUN
ejpam-2465	512	5	,	,	PUNCT
ejpam-2465	512	6	2007	2007	NUM
ejpam-2465	512	7	.	.	PUNCT
ejpam-2465	513	1	[	[	X
ejpam-2465	513	2	4	4	NUM
ejpam-2465	513	3	]	]	PUNCT
ejpam-2465	513	4	m.	m.	NOUN
ejpam-2465	513	5	m.	m.	PROPN
ejpam-2465	513	6	el	el	PROPN
ejpam-2465	513	7	-	-	PUNCT
ejpam-2465	513	8	borai	borai	NOUN
ejpam-2465	513	9	.	.	PUNCT
ejpam-2465	514	1	the	the	DET
ejpam-2465	514	2	fundamental	fundamental	ADJ
ejpam-2465	514	3	solutions	solution	NOUN
ejpam-2465	514	4	for	for	ADP
ejpam-2465	514	5	fractional	fractional	ADJ
ejpam-2465	514	6	evolution	evolution	NOUN
ejpam-2465	514	7	equations	equation	NOUN
ejpam-2465	514	8	of	of	ADP
ejpam-2465	514	9	parabolic	parabolic	ADJ
ejpam-2465	514	10	type	type	NOUN
ejpam-2465	514	11	,	,	PUNCT
ejpam-2465	514	12	journal	journal	NOUN
ejpam-2465	514	13	of	of	ADP
ejpam-2465	514	14	applied	apply	VERB
ejpam-2465	514	15	mathematics	mathematic	NOUN
ejpam-2465	514	16	and	and	CCONJ
ejpam-2465	514	17	stochastic	stochastic	ADJ
ejpam-2465	514	18	analysis	analysis	NOUN
ejpam-2465	514	19	,	,	PUNCT
ejpam-2465	514	20	3	3	NUM
ejpam-2465	514	21	,	,	PUNCT
ejpam-2465	514	22	197	197	NUM
ejpam-2465	514	23	-	-	SYM
ejpam-2465	514	24	211	211	NUM
ejpam-2465	514	25	.	.	PUNCT
ejpam-2465	514	26	2004	2004	NUM
ejpam-2465	514	27	.	.	PUNCT
ejpam-2465	515	1	[	[	X
ejpam-2465	515	2	5	5	NUM
ejpam-2465	515	3	]	]	PUNCT
ejpam-2465	515	4	m.	m.	NOUN
ejpam-2465	515	5	m.	m.	PROPN
ejpam-2465	515	6	el	el	PROPN
ejpam-2465	515	7	-	-	PUNCT
ejpam-2465	515	8	borai	borai	NOUN
ejpam-2465	515	9	.	.	PUNCT
ejpam-2465	516	1	on	on	ADP
ejpam-2465	516	2	some	some	DET
ejpam-2465	516	3	fractional	fractional	ADJ
ejpam-2465	516	4	evolution	evolution	NOUN
ejpam-2465	516	5	equations	equation	NOUN
ejpam-2465	516	6	with	with	ADP
ejpam-2465	516	7	nonlocal	nonlocal	ADJ
ejpam-2465	516	8	conditions	condition	NOUN
ejpam-2465	516	9	,	,	PUNCT
ejpam-2465	516	10	international	international	ADJ
ejpam-2465	516	11	journal	journal	NOUN
ejpam-2465	516	12	of	of	ADP
ejpam-2465	516	13	pure	pure	ADJ
ejpam-2465	516	14	and	and	CCONJ
ejpam-2465	516	15	applied	applied	ADJ
ejpam-2465	516	16	mathematics	mathematic	NOUN
ejpam-2465	516	17	,	,	PUNCT
ejpam-2465	516	18	24	24	NUM
ejpam-2465	516	19	,	,	PUNCT
ejpam-2465	516	20	405	405	NUM
ejpam-2465	516	21	-	-	SYM
ejpam-2465	516	22	413	413	NUM
ejpam-2465	516	23	.	.	PUNCT
ejpam-2465	516	24	2005	2005	NUM
ejpam-2465	516	25	.	.	PUNCT
ejpam-2465	517	1	[	[	X
ejpam-2465	517	2	6	6	NUM
ejpam-2465	517	3	]	]	PUNCT
ejpam-2465	517	4	e.	e.	PROPN
ejpam-2465	517	5	hernández	hernández	PROPN
ejpam-2465	517	6	,	,	PUNCT
ejpam-2465	517	7	d.	d.	PROPN
ejpam-2465	517	8	o’regan	o’regan	PROPN
ejpam-2465	517	9	,	,	PUNCT
ejpam-2465	517	10	and	and	CCONJ
ejpam-2465	517	11	k.	k.	PROPN
ejpam-2465	517	12	balachandran	balachandran	PROPN
ejpam-2465	517	13	.	.	PUNCT
ejpam-2465	518	1	on	on	ADP
ejpam-2465	518	2	recent	recent	ADJ
ejpam-2465	518	3	developments	development	NOUN
ejpam-2465	518	4	in	in	ADP
ejpam-2465	518	5	the	the	DET
ejpam-2465	518	6	theory	theory	NOUN
ejpam-2465	518	7	of	of	ADP
ejpam-2465	518	8	abstract	abstract	ADJ
ejpam-2465	518	9	differential	differential	ADJ
ejpam-2465	518	10	equations	equation	NOUN
ejpam-2465	518	11	with	with	ADP
ejpam-2465	518	12	fractional	fractional	ADJ
ejpam-2465	518	13	derivatives	derivative	NOUN
ejpam-2465	518	14	,	,	PUNCT
ejpam-2465	518	15	nonlinear	nonlinear	ADJ
ejpam-2465	518	16	analysis	analysis	NOUN
ejpam-2465	518	17	,	,	PUNCT
ejpam-2465	518	18	73	73	NUM
ejpam-2465	518	19	,	,	PUNCT
ejpam-2465	518	20	34623471	34623471	NUM
ejpam-2465	518	21	.	.	PUNCT
ejpam-2465	519	1	2010	2010	NUM
ejpam-2465	519	2	.	.	PUNCT
ejpam-2465	520	1	[	[	X
ejpam-2465	520	2	7	7	X
ejpam-2465	520	3	]	]	X
ejpam-2465	520	4	l.	l.	PROPN
ejpam-2465	520	5	hu	hu	PROPN
ejpam-2465	520	6	,	,	PUNCT
ejpam-2465	520	7	y.	y.	PROPN
ejpam-2465	520	8	ren	ren	PROPN
ejpam-2465	520	9	,	,	PUNCT
ejpam-2465	520	10	and	and	CCONJ
ejpam-2465	520	11	r.	r.	PROPN
ejpam-2465	520	12	sakthivel	sakthivel	NOUN
ejpam-2465	520	13	.	.	PUNCT
ejpam-2465	521	1	existence	existence	NOUN
ejpam-2465	521	2	and	and	CCONJ
ejpam-2465	521	3	uniqueness	uniqueness	NOUN
ejpam-2465	521	4	of	of	ADP
ejpam-2465	521	5	mild	mild	ADJ
ejpam-2465	521	6	solutions	solution	NOUN
ejpam-2465	521	7	for	for	ADP
ejpam-2465	521	8	semilinear	semilinear	PROPN
ejpam-2465	521	9	integro	integro	PROPN
ejpam-2465	521	10	-	-	PUNCT
ejpam-2465	521	11	differential	differential	NOUN
ejpam-2465	521	12	equations	equation	NOUN
ejpam-2465	521	13	of	of	ADP
ejpam-2465	521	14	fractional	fractional	ADJ
ejpam-2465	521	15	order	order	NOUN
ejpam-2465	521	16	with	with	ADP
ejpam-2465	521	17	nonlocal	nonlocal	ADJ
ejpam-2465	521	18	initial	initial	ADJ
ejpam-2465	521	19	conditions	condition	NOUN
ejpam-2465	521	20	and	and	CCONJ
ejpam-2465	521	21	delays	delay	NOUN
ejpam-2465	521	22	,	,	PUNCT
ejpam-2465	521	23	semigroup	semigroup	PROPN
ejpam-2465	521	24	forum	forum	PROPN
ejpam-2465	521	25	,	,	PUNCT
ejpam-2465	521	26	79	79	NUM
ejpam-2465	521	27	,	,	PUNCT
ejpam-2465	521	28	507	507	NUM
ejpam-2465	521	29	-	-	SYM
ejpam-2465	521	30	514	514	NUM
ejpam-2465	521	31	.	.	PUNCT
ejpam-2465	521	32	2009	2009	NUM
ejpam-2465	521	33	.	.	PUNCT
ejpam-2465	522	1	[	[	X
ejpam-2465	522	2	8	8	NUM
ejpam-2465	522	3	]	]	X
ejpam-2465	522	4	d.	d.	PROPN
ejpam-2465	522	5	h.	h.	PROPN
ejpam-2465	522	6	hyers	hyers	PROPN
ejpam-2465	522	7	,	,	PUNCT
ejpam-2465	522	8	g.	g.	PROPN
ejpam-2465	522	9	isac	isac	PROPN
ejpam-2465	522	10	,	,	PUNCT
ejpam-2465	522	11	and	and	CCONJ
ejpam-2465	522	12	th.m	th.m	PROPN
ejpam-2465	522	13	.	.	PUNCT
ejpam-2465	523	1	rassias	rassias	PROPN
ejpam-2465	523	2	.	.	PUNCT
ejpam-2465	524	1	stability	stability	NOUN
ejpam-2465	524	2	of	of	ADP
ejpam-2465	524	3	functional	functional	ADJ
ejpam-2465	524	4	equations	equation	NOUN
ejpam-2465	524	5	in	in	ADP
ejpam-2465	524	6	several	several	ADJ
ejpam-2465	524	7	variables	variable	NOUN
ejpam-2465	524	8	,	,	PUNCT
ejpam-2465	524	9	birkhäuser	birkhäuser	NOUN
ejpam-2465	524	10	,	,	PUNCT
ejpam-2465	524	11	1998	1998	NUM
ejpam-2465	524	12	.	.	PUNCT
ejpam-2465	525	1	[	[	X
ejpam-2465	525	2	9	9	NUM
ejpam-2465	525	3	]	]	PUNCT
ejpam-2465	525	4	s.	s.	PROPN
ejpam-2465	525	5	m.	m.	PROPN
ejpam-2465	525	6	jung	jung	PROPN
ejpam-2465	525	7	.	.	PUNCT
ejpam-2465	526	1	hyers	hyer	NOUN
ejpam-2465	526	2	-	-	PUNCT
ejpam-2465	526	3	ulam	ulam	NOUN
ejpam-2465	526	4	-	-	PUNCT
ejpam-2465	526	5	rassias	rassias	PROPN
ejpam-2465	526	6	stability	stability	NOUN
ejpam-2465	526	7	of	of	ADP
ejpam-2465	526	8	functional	functional	ADJ
ejpam-2465	526	9	equations	equation	NOUN
ejpam-2465	526	10	in	in	ADP
ejpam-2465	526	11	mathematical	mathematical	ADJ
ejpam-2465	526	12	analysis	analysis	NOUN
ejpam-2465	526	13	,	,	PUNCT
ejpam-2465	526	14	hadronic	hadronic	ADJ
ejpam-2465	526	15	press	press	NOUN
ejpam-2465	526	16	,	,	PUNCT
ejpam-2465	526	17	palm	palm	NOUN
ejpam-2465	526	18	harbor	harbor	NOUN
ejpam-2465	526	19	,	,	PUNCT
ejpam-2465	526	20	2001	2001	NUM
ejpam-2465	526	21	.	.	PUNCT
ejpam-2465	527	1	[	[	X
ejpam-2465	527	2	10	10	NUM
ejpam-2465	527	3	]	]	PUNCT
ejpam-2465	527	4	a.	a.	NOUN
ejpam-2465	527	5	a.	a.	NOUN
ejpam-2465	527	6	kilbas	kilbas	PROPN
ejpam-2465	527	7	,	,	PUNCT
ejpam-2465	527	8	hari	hari	PROPN
ejpam-2465	527	9	m.	m.	PROPN
ejpam-2465	527	10	srivastava	srivastava	PROPN
ejpam-2465	527	11	,	,	PUNCT
ejpam-2465	527	12	and	and	CCONJ
ejpam-2465	527	13	j.	j.	PROPN
ejpam-2465	527	14	juan	juan	PROPN
ejpam-2465	527	15	trujillo	trujillo	PROPN
ejpam-2465	527	16	.	.	PUNCT
ejpam-2465	527	17	theory	theory	NOUN
ejpam-2465	527	18	and	and	CCONJ
ejpam-2465	527	19	applications	application	NOUN
ejpam-2465	527	20	of	of	ADP
ejpam-2465	527	21	fractional	fractional	ADJ
ejpam-2465	527	22	differential	differential	ADJ
ejpam-2465	527	23	equations	equation	NOUN
ejpam-2465	527	24	,	,	PUNCT
ejpam-2465	527	25	north	north	NOUN
ejpam-2465	527	26	-	-	PUNCT
ejpam-2465	527	27	holland	holland	PROPN
ejpam-2465	527	28	mathematics	mathematics	PROPN
ejpam-2465	527	29	studies	study	NOUN
ejpam-2465	527	30	,	,	PUNCT
ejpam-2465	527	31	vol	vol	NOUN
ejpam-2465	527	32	.	.	PROPN
ejpam-2465	527	33	204	204	NUM
ejpam-2465	527	34	,	,	PUNCT
ejpam-2465	527	35	elsevier	elsevier	PROPN
ejpam-2465	527	36	science	science	PROPN
ejpam-2465	527	37	b.v	b.v	PROPN
ejpam-2465	527	38	.	.	PROPN
ejpam-2465	527	39	,	,	PUNCT
ejpam-2465	527	40	amsterdam	amsterdam	PROPN
ejpam-2465	527	41	,	,	PUNCT
ejpam-2465	527	42	2006	2006	NUM
ejpam-2465	527	43	.	.	PUNCT
ejpam-2465	528	1	[	[	X
ejpam-2465	528	2	11	11	NUM
ejpam-2465	528	3	]	]	X
ejpam-2465	528	4	v.	v.	CCONJ
ejpam-2465	528	5	lakshmikantham	lakshmikantham	PROPN
ejpam-2465	528	6	,	,	PUNCT
ejpam-2465	528	7	s.	s.	PROPN
ejpam-2465	528	8	leela	leela	PROPN
ejpam-2465	528	9	,	,	PUNCT
ejpam-2465	528	10	and	and	CCONJ
ejpam-2465	528	11	j.	j.	PROPN
ejpam-2465	528	12	vasundhara	vasundhara	PROPN
ejpam-2465	528	13	devi	devi	PROPN
ejpam-2465	528	14	.	.	PUNCT
ejpam-2465	529	1	theory	theory	NOUN
ejpam-2465	529	2	of	of	ADP
ejpam-2465	529	3	fractional	fractional	ADJ
ejpam-2465	529	4	dynamic	dynamic	ADJ
ejpam-2465	529	5	systems	system	NOUN
ejpam-2465	529	6	,	,	PUNCT
ejpam-2465	529	7	cambridge	cambridge	NOUN
ejpam-2465	529	8	scientific	scientific	ADJ
ejpam-2465	529	9	publishers	publisher	NOUN
ejpam-2465	529	10	,	,	PUNCT
ejpam-2465	529	11	2009	2009	NUM
ejpam-2465	529	12	.	.	PUNCT
ejpam-2465	530	1	references	reference	NOUN
ejpam-2465	530	2	498	498	NUM
ejpam-2465	531	1	[	[	X
ejpam-2465	531	2	12	12	NUM
ejpam-2465	531	3	]	]	PUNCT
ejpam-2465	531	4	h.	h.	PROPN
ejpam-2465	531	5	liu	liu	PROPN
ejpam-2465	531	6	and	and	CCONJ
ejpam-2465	531	7	j.	j.	PROPN
ejpam-2465	531	8	c.	c.	PROPN
ejpam-2465	531	9	chang	chang	PROPN
ejpam-2465	531	10	.	.	PUNCT
ejpam-2465	532	1	existence	existence	NOUN
ejpam-2465	532	2	for	for	ADP
ejpam-2465	532	3	a	a	DET
ejpam-2465	532	4	class	class	NOUN
ejpam-2465	532	5	of	of	ADP
ejpam-2465	532	6	partial	partial	ADJ
ejpam-2465	532	7	differential	differential	ADJ
ejpam-2465	532	8	equations	equation	NOUN
ejpam-2465	532	9	with	with	ADP
ejpam-2465	532	10	nonlocal	nonlocal	ADJ
ejpam-2465	532	11	conditions	condition	NOUN
ejpam-2465	532	12	,	,	PUNCT
ejpam-2465	532	13	nonlinear	nonlinear	ADJ
ejpam-2465	532	14	analysis	analysis	NOUN
ejpam-2465	532	15	,	,	PUNCT
ejpam-2465	532	16	70	70	NUM
ejpam-2465	532	17	,	,	PUNCT
ejpam-2465	532	18	3076	3076	NUM
ejpam-2465	532	19	-	-	SYM
ejpam-2465	532	20	3083	3083	NUM
ejpam-2465	532	21	.	.	PUNCT
ejpam-2465	533	1	2009	2009	NUM
ejpam-2465	533	2	.	.	PUNCT
ejpam-2465	534	1	[	[	X
ejpam-2465	534	2	13	13	NUM
ejpam-2465	534	3	]	]	PUNCT
ejpam-2465	534	4	m.	m.	NOUN
ejpam-2465	534	5	m.	m.	NOUN
ejpam-2465	534	6	meerschaert	meerschaert	PROPN
ejpam-2465	534	7	,	,	PUNCT
ejpam-2465	534	8	d.a	d.a	PROPN
ejpam-2465	534	9	.	.	PROPN
ejpam-2465	534	10	benson	benson	PROPN
ejpam-2465	534	11	,	,	PUNCT
ejpam-2465	534	12	h.	h.	PROPN
ejpam-2465	534	13	scheffler	scheffler	PROPN
ejpam-2465	534	14	,	,	PUNCT
ejpam-2465	534	15	and	and	CCONJ
ejpam-2465	534	16	b.	b.	PROPN
ejpam-2465	534	17	baeumer	baeumer	PROPN
ejpam-2465	534	18	,	,	PUNCT
ejpam-2465	534	19	stochastic	stochastic	ADJ
ejpam-2465	534	20	solution	solution	NOUN
ejpam-2465	534	21	of	of	ADP
ejpam-2465	534	22	space	space	NOUN
ejpam-2465	534	23	-	-	PUNCT
ejpam-2465	534	24	time	time	NOUN
ejpam-2465	534	25	fractional	fractional	ADJ
ejpam-2465	534	26	diffusion	diffusion	NOUN
ejpam-2465	534	27	equations	equation	NOUN
ejpam-2465	534	28	,	,	PUNCT
ejpam-2465	534	29	physical	physical	ADJ
ejpam-2465	534	30	review	review	NOUN
ejpam-2465	534	31	e	e	NOUN
ejpam-2465	534	32	,	,	PUNCT
ejpam-2465	534	33	65	65	NUM
ejpam-2465	534	34	,	,	PUNCT
ejpam-2465	534	35	1103	1103	NUM
ejpam-2465	534	36	-	-	SYM
ejpam-2465	534	37	1106	1106	NUM
ejpam-2465	534	38	.	.	PUNCT
ejpam-2465	535	1	2002	2002	NUM
ejpam-2465	535	2	.	.	PUNCT
ejpam-2465	536	1	[	[	X
ejpam-2465	536	2	14	14	NUM
ejpam-2465	536	3	]	]	PUNCT
ejpam-2465	536	4	k.	k.	PROPN
ejpam-2465	536	5	s.	s.	PROPN
ejpam-2465	536	6	miller	miller	PROPN
ejpam-2465	536	7	and	and	CCONJ
ejpam-2465	536	8	b.	b.	PROPN
ejpam-2465	536	9	ross	ross	PROPN
ejpam-2465	536	10	.	.	PUNCT
ejpam-2465	537	1	an	an	DET
ejpam-2465	537	2	introduction	introduction	NOUN
ejpam-2465	537	3	to	to	ADP
ejpam-2465	537	4	the	the	DET
ejpam-2465	537	5	fractional	fractional	ADJ
ejpam-2465	537	6	calculus	calculus	NOUN
ejpam-2465	537	7	and	and	CCONJ
ejpam-2465	537	8	differential	differential	ADJ
ejpam-2465	537	9	equations	equation	NOUN
ejpam-2465	537	10	,	,	PUNCT
ejpam-2465	537	11	john	john	PROPN
ejpam-2465	537	12	wiley	wiley	PROPN
ejpam-2465	537	13	,	,	PUNCT
ejpam-2465	537	14	new	new	PROPN
ejpam-2465	537	15	york	york	PROPN
ejpam-2465	537	16	,	,	PUNCT
ejpam-2465	537	17	1993	1993	NUM
ejpam-2465	537	18	.	.	PUNCT
ejpam-2465	538	1	[	[	X
ejpam-2465	538	2	15	15	NUM
ejpam-2465	538	3	]	]	X
ejpam-2465	538	4	i.	i.	NOUN
ejpam-2465	538	5	podlubny	podlubny	PROPN
ejpam-2465	538	6	.	.	PUNCT
ejpam-2465	539	1	fractional	fractional	ADJ
ejpam-2465	539	2	differential	differential	ADJ
ejpam-2465	539	3	equations	equation	NOUN
ejpam-2465	539	4	,	,	PUNCT
ejpam-2465	539	5	academic	academic	ADJ
ejpam-2465	539	6	press	press	NOUN
ejpam-2465	539	7	,	,	PUNCT
ejpam-2465	539	8	san	san	PROPN
ejpam-2465	539	9	diego	diego	PROPN
ejpam-2465	539	10	,	,	PUNCT
ejpam-2465	539	11	1999	1999	NUM
ejpam-2465	539	12	.	.	PUNCT
ejpam-2465	540	1	[	[	X
ejpam-2465	540	2	16	16	NUM
ejpam-2465	540	3	]	]	X
ejpam-2465	540	4	shi	shi	PROPN
ejpam-2465	540	5	-	-	PROPN
ejpam-2465	540	6	you	you	PRON
ejpam-2465	540	7	lin	lin	PROPN
ejpam-2465	540	8	.	.	PUNCT
ejpam-2465	541	1	generalized	generalize	VERB
ejpam-2465	541	2	gronwall	gronwall	ADJ
ejpam-2465	541	3	inequalities	inequality	NOUN
ejpam-2465	541	4	and	and	CCONJ
ejpam-2465	541	5	their	their	PRON
ejpam-2465	541	6	applications	application	NOUN
ejpam-2465	541	7	to	to	ADP
ejpam-2465	541	8	fractional	fractional	ADJ
ejpam-2465	541	9	differential	differential	ADJ
ejpam-2465	541	10	equations	equation	NOUN
ejpam-2465	541	11	,	,	PUNCT
ejpam-2465	541	12	journal	journal	NOUN
ejpam-2465	541	13	of	of	ADP
ejpam-2465	541	14	inequalities	inequality	NOUN
ejpam-2465	541	15	and	and	CCONJ
ejpam-2465	541	16	applications	application	NOUN
ejpam-2465	541	17	2013	2013	NUM
ejpam-2465	541	18	,	,	PUNCT
ejpam-2465	541	19	549	549	NUM
ejpam-2465	541	20	.	.	NOUN
ejpam-2465	541	21	2013	2013	NUM
ejpam-2465	541	22	.	.	PUNCT
ejpam-2465	542	1	[	[	X
ejpam-2465	542	2	17	17	NUM
ejpam-2465	542	3	]	]	PUNCT
ejpam-2465	542	4	j.	j.	PROPN
ejpam-2465	542	5	wang	wang	PROPN
ejpam-2465	542	6	,	,	PUNCT
ejpam-2465	542	7	y.	y.	PROPN
ejpam-2465	542	8	zhou	zhou	PROPN
ejpam-2465	542	9	,	,	PUNCT
ejpam-2465	542	10	w.	w.	PROPN
ejpam-2465	542	11	wei	wei	PROPN
ejpam-2465	542	12	,	,	PUNCT
ejpam-2465	542	13	and	and	CCONJ
ejpam-2465	542	14	h.	h.	PROPN
ejpam-2465	542	15	xu	xu	PROPN
ejpam-2465	542	16	.	.	PUNCT
ejpam-2465	543	1	nonlocal	nonlocal	ADJ
ejpam-2465	543	2	problems	problem	NOUN
ejpam-2465	543	3	for	for	ADP
ejpam-2465	543	4	fractional	fractional	ADJ
ejpam-2465	543	5	integrodifferential	integrodifferential	ADJ
ejpam-2465	543	6	equations	equation	NOUN
ejpam-2465	543	7	via	via	ADP
ejpam-2465	543	8	fractional	fractional	ADJ
ejpam-2465	543	9	operators	operator	NOUN
ejpam-2465	543	10	and	and	CCONJ
ejpam-2465	543	11	optimal	optimal	ADJ
ejpam-2465	543	12	controls	control	NOUN
ejpam-2465	543	13	,	,	PUNCT
ejpam-2465	543	14	computers	computer	NOUN
ejpam-2465	543	15	and	and	CCONJ
ejpam-2465	543	16	mathematics	mathematic	NOUN
ejpam-2465	543	17	with	with	ADP
ejpam-2465	543	18	applications	application	NOUN
ejpam-2465	543	19	,	,	PUNCT
ejpam-2465	543	20	62	62	NUM
ejpam-2465	543	21	,	,	PUNCT
ejpam-2465	543	22	1427	1427	NUM
ejpam-2465	543	23	-	-	SYM
ejpam-2465	543	24	1441	1441	NUM
ejpam-2465	543	25	.	.	PUNCT
ejpam-2465	544	1	2011	2011	NUM
ejpam-2465	544	2	.	.	PUNCT
ejpam-2465	545	1	[	[	X
ejpam-2465	545	2	18	18	NUM
ejpam-2465	545	3	]	]	PUNCT
ejpam-2465	545	4	j.	j.	PROPN
ejpam-2465	545	5	wang	wang	PROPN
ejpam-2465	545	6	,	,	PUNCT
ejpam-2465	545	7	y.	y.	PROPN
ejpam-2465	545	8	zhou	zhou	PROPN
ejpam-2465	545	9	.	.	PUNCT
ejpam-2465	546	1	mittag	mittag	ADJ
ejpam-2465	546	2	-	-	PUNCT
ejpam-2465	546	3	leffler	leffler	NOUN
ejpam-2465	546	4	-	-	PUNCT
ejpam-2465	546	5	ulam	ulam	NOUN
ejpam-2465	546	6	stabilities	stability	NOUN
ejpam-2465	546	7	of	of	ADP
ejpam-2465	546	8	fractional	fractional	ADJ
ejpam-2465	546	9	evolution	evolution	NOUN
ejpam-2465	546	10	equations	equation	NOUN
ejpam-2465	546	11	,	,	PUNCT
ejpam-2465	546	12	applied	apply	VERB
ejpam-2465	546	13	mathematics	mathematics	NOUN
ejpam-2465	546	14	letters	letter	NOUN
ejpam-2465	546	15	,	,	PUNCT
ejpam-2465	546	16	25	25	NUM
ejpam-2465	546	17	,	,	PUNCT
ejpam-2465	546	18	723	723	NUM
ejpam-2465	546	19	-	-	SYM
ejpam-2465	546	20	728	728	NUM
ejpam-2465	546	21	.	.	PUNCT
ejpam-2465	546	22	2012	2012	NUM
ejpam-2465	546	23	.	.	PUNCT
ejpam-2465	547	1	[	[	X
ejpam-2465	547	2	19	19	NUM
ejpam-2465	547	3	]	]	X
ejpam-2465	547	4	j.	j.	PROPN
ejpam-2465	547	5	wang	wang	PROPN
ejpam-2465	547	6	and	and	CCONJ
ejpam-2465	547	7	yuruo	yuruo	PROPN
ejpam-2465	547	8	zhang	zhang	PROPN
ejpam-2465	547	9	.	.	PUNCT
ejpam-2465	548	1	ulam	ulam	PROPN
ejpam-2465	548	2	-	-	PUNCT
ejpam-2465	548	3	hyers	hyers	PROPN
ejpam-2465	548	4	-	-	PUNCT
ejpam-2465	548	5	mittag	mittag	ADJ
ejpam-2465	548	6	-	-	PUNCT
ejpam-2465	548	7	leffler	leffler	NOUN
ejpam-2465	548	8	stability	stability	NOUN
ejpam-2465	548	9	of	of	ADP
ejpam-2465	548	10	fractional	fractional	ADJ
ejpam-2465	548	11	-	-	PUNCT
ejpam-2465	548	12	order	order	NOUN
ejpam-2465	548	13	delay	delay	NOUN
ejpam-2465	548	14	differential	differential	ADJ
ejpam-2465	548	15	equations	equation	NOUN
ejpam-2465	548	16	,	,	PUNCT
ejpam-2465	548	17	optimization	optimization	NOUN
ejpam-2465	548	18	,	,	PUNCT
ejpam-2465	548	19	63(8	63(8	NUM
ejpam-2465	548	20	)	)	PUNCT
ejpam-2465	548	21	,	,	PUNCT
ejpam-2465	548	22	1181	1181	NUM
ejpam-2465	548	23	-	-	SYM
ejpam-2465	548	24	1190	1190	NUM
ejpam-2465	548	25	.	.	PUNCT
ejpam-2465	549	1	2014	2014	NUM
ejpam-2465	549	2	.	.	PUNCT
ejpam-2465	550	1	[	[	X
ejpam-2465	550	2	20	20	NUM
ejpam-2465	550	3	]	]	PUNCT
ejpam-2465	550	4	j.	j.	PROPN
ejpam-2465	550	5	wang	wang	PROPN
ejpam-2465	550	6	and	and	CCONJ
ejpam-2465	550	7	y.	y.	PROPN
ejpam-2465	550	8	zhou	zhou	PROPN
ejpam-2465	550	9	.	.	PUNCT
ejpam-2465	551	1	a	a	DET
ejpam-2465	551	2	class	class	NOUN
ejpam-2465	551	3	of	of	ADP
ejpam-2465	551	4	fractional	fractional	ADJ
ejpam-2465	551	5	evolution	evolution	NOUN
ejpam-2465	551	6	equations	equation	NOUN
ejpam-2465	551	7	and	and	CCONJ
ejpam-2465	551	8	optimal	optimal	ADJ
ejpam-2465	551	9	controls	control	NOUN
ejpam-2465	551	10	,	,	PUNCT
ejpam-2465	551	11	nonlinear	nonlinear	ADJ
ejpam-2465	551	12	analysis	analysis	NOUN
ejpam-2465	551	13	rwa	rwa	NOUN
ejpam-2465	551	14	,	,	PUNCT
ejpam-2465	551	15	12	12	NUM
ejpam-2465	551	16	,	,	PUNCT
ejpam-2465	551	17	262	262	NUM
ejpam-2465	551	18	-	-	SYM
ejpam-2465	551	19	272	272	NUM
ejpam-2465	551	20	.	.	PUNCT
ejpam-2465	551	21	2011	2011	NUM
ejpam-2465	551	22	.	.	PUNCT
ejpam-2465	552	1	[	[	X
ejpam-2465	552	2	21	21	NUM
ejpam-2465	552	3	]	]	X
ejpam-2465	552	4	e.	e.	PROPN
ejpam-2465	552	5	zeidler	zeidler	PROPN
ejpam-2465	552	6	.	.	PUNCT
ejpam-2465	553	1	nonlinear	nonlinear	ADJ
ejpam-2465	553	2	functional	functional	ADJ
ejpam-2465	553	3	analysis	analysis	NOUN
ejpam-2465	553	4	and	and	CCONJ
ejpam-2465	553	5	its	its	PRON
ejpam-2465	553	6	application	application	NOUN
ejpam-2465	553	7	ii	ii	PROPN
ejpam-2465	553	8	/	/	SYM
ejpam-2465	553	9	a	a	PRON
ejpam-2465	553	10	,	,	PUNCT
ejpam-2465	553	11	springer	springer	NOUN
ejpam-2465	553	12	-	-	PUNCT
ejpam-2465	553	13	verlag	verlag	PROPN
ejpam-2465	553	14	,	,	PUNCT
ejpam-2465	553	15	new	new	PROPN
ejpam-2465	553	16	york	york	PROPN
ejpam-2465	553	17	,	,	PUNCT
ejpam-2465	553	18	1990	1990	NUM
ejpam-2465	553	19	.	.	PUNCT
ejpam-2465	554	1	[	[	X
ejpam-2465	554	2	22	22	NUM
ejpam-2465	554	3	]	]	X
ejpam-2465	554	4	y.	y.	PROPN
ejpam-2465	554	5	zhou	zhou	PROPN
ejpam-2465	554	6	and	and	CCONJ
ejpam-2465	554	7	f.	f.	PROPN
ejpam-2465	554	8	jiao	jiao	PROPN
ejpam-2465	554	9	.	.	PUNCT
ejpam-2465	555	1	existence	existence	NOUN
ejpam-2465	555	2	of	of	ADP
ejpam-2465	555	3	mild	mild	ADJ
ejpam-2465	555	4	solutions	solution	NOUN
ejpam-2465	555	5	for	for	ADP
ejpam-2465	555	6	fractional	fractional	ADJ
ejpam-2465	555	7	neutral	neutral	ADJ
ejpam-2465	555	8	evolution	evolution	NOUN
ejpam-2465	555	9	equations	equation	NOUN
ejpam-2465	555	10	,	,	PUNCT
ejpam-2465	555	11	computer	computer	NOUN
ejpam-2465	555	12	and	and	CCONJ
ejpam-2465	555	13	mathematics	mathematic	NOUN
ejpam-2465	555	14	with	with	ADP
ejpam-2465	555	15	applications	application	NOUN
ejpam-2465	555	16	,	,	PUNCT
ejpam-2465	555	17	59	59	NUM
ejpam-2465	555	18	,	,	PUNCT
ejpam-2465	555	19	1063	1063	NUM
ejpam-2465	555	20	-	-	SYM
ejpam-2465	555	21	1077	1077	NUM
ejpam-2465	555	22	.	.	PUNCT
ejpam-2465	556	1	2010	2010	NUM
ejpam-2465	556	2	.	.	PUNCT
ejpam-2465	557	1	[	[	X
ejpam-2465	557	2	23	23	X
ejpam-2465	557	3	]	]	X
ejpam-2465	557	4	y.	y.	PROPN
ejpam-2465	557	5	zhou	zhou	PROPN
ejpam-2465	557	6	and	and	CCONJ
ejpam-2465	557	7	f.	f.	PROPN
ejpam-2465	557	8	jiao	jiao	PROPN
ejpam-2465	557	9	.	.	PROPN
ejpam-2465	558	1	nonlocal	nonlocal	ADJ
ejpam-2465	558	2	cauchy	cauchy	ADJ
ejpam-2465	558	3	problem	problem	NOUN
ejpam-2465	558	4	for	for	ADP
ejpam-2465	558	5	fractional	fractional	ADJ
ejpam-2465	558	6	evolution	evolution	NOUN
ejpam-2465	558	7	equations	equation	NOUN
ejpam-2465	558	8	,	,	PUNCT
ejpam-2465	558	9	nonlinear	nonlinear	ADJ
ejpam-2465	558	10	analysis	analysis	NOUN
ejpam-2465	558	11	,	,	PUNCT
ejpam-2465	558	12	11	11	NUM
ejpam-2465	558	13	,	,	PUNCT
ejpam-2465	558	14	4465	4465	NUM
ejpam-2465	558	15	-	-	SYM
ejpam-2465	558	16	4475	4475	NUM
ejpam-2465	558	17	.	.	PUNCT
ejpam-2465	559	1	2010	2010	NUM
ejpam-2465	559	2	.	.	PUNCT
ejpam-2465	560	1	[	[	X
ejpam-2465	560	2	24	24	NUM
ejpam-2465	560	3	]	]	X
ejpam-2465	560	4	y.	y.	PROPN
ejpam-2465	560	5	zhou	zhou	PROPN
ejpam-2465	560	6	and	and	CCONJ
ejpam-2465	560	7	f.	f.	PROPN
ejpam-2465	560	8	jiao	jiao	PROPN
ejpam-2465	560	9	.	.	PUNCT
ejpam-2465	561	1	existence	existence	NOUN
ejpam-2465	561	2	of	of	ADP
ejpam-2465	561	3	mild	mild	ADJ
ejpam-2465	561	4	solutions	solution	NOUN
ejpam-2465	561	5	for	for	ADP
ejpam-2465	561	6	fractional	fractional	ADJ
ejpam-2465	561	7	neutral	neutral	ADJ
ejpam-2465	561	8	evolution	evolution	NOUN
ejpam-2465	561	9	equations	equation	NOUN
ejpam-2465	561	10	,	,	PUNCT
ejpam-2465	561	11	computer	computer	NOUN
ejpam-2465	561	12	and	and	CCONJ
ejpam-2465	561	13	mathematics	mathematic	NOUN
ejpam-2465	561	14	with	with	ADP
ejpam-2465	561	15	applications	application	NOUN
ejpam-2465	561	16	,	,	PUNCT
ejpam-2465	561	17	59	59	NUM
ejpam-2465	561	18	,	,	PUNCT
ejpam-2465	561	19	1063	1063	NUM
ejpam-2465	561	20	-	-	SYM
ejpam-2465	561	21	1077	1077	NUM
ejpam-2465	561	22	,	,	PUNCT
ejpam-2465	561	23	2010	2010	NUM
ejpam-2465	561	24	.	.	PUNCT