id	sid	tid	token	lemma	pos
ejpam-2058	1	1	compile	compile	NOUN
ejpam-2058	1	2	/	/	SYM
ejpam-2058	1	3	output.dvi	output.dvi	NOUN
ejpam-2058	1	4	european	european	ADJ
ejpam-2058	1	5	journal	journal	NOUN
ejpam-2058	1	6	of	of	ADP
ejpam-2058	1	7	pure	pure	ADJ
ejpam-2058	1	8	and	and	CCONJ
ejpam-2058	1	9	applied	apply	VERB
ejpam-2058	1	10	mathematics	mathematic	NOUN
ejpam-2058	1	11	vol	vol	NOUN
ejpam-2058	1	12	.	.	PROPN
ejpam-2058	1	13	8	8	NUM
ejpam-2058	1	14	,	,	PUNCT
ejpam-2058	1	15	no	no	INTJ
ejpam-2058	1	16	.	.	NOUN
ejpam-2058	1	17	2	2	NUM
ejpam-2058	1	18	,	,	PUNCT
ejpam-2058	1	19	2015	2015	NUM
ejpam-2058	1	20	,	,	PUNCT
ejpam-2058	1	21	201	201	NUM
ejpam-2058	1	22	-	-	SYM
ejpam-2058	1	23	213	213	NUM
ejpam-2058	1	24	issn	issn	PROPN
ejpam-2058	1	25	1307	1307	NUM
ejpam-2058	1	26	-	-	SYM
ejpam-2058	1	27	5543	5543	NUM
ejpam-2058	1	28	–	–	PUNCT
ejpam-2058	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2058	1	30	new	new	ADJ
ejpam-2058	1	31	types	type	NOUN
ejpam-2058	1	32	of	of	ADP
ejpam-2058	1	33	generalized	generalized	ADJ
ejpam-2058	1	34	difference	difference	NOUN
ejpam-2058	1	35	double	double	DET
ejpam-2058	1	36	a	a	DET
ejpam-2058	1	37	-	-	PUNCT
ejpam-2058	1	38	sequence	sequence	NOUN
ejpam-2058	1	39	spaces	space	NOUN
ejpam-2058	1	40	defined	define	VERB
ejpam-2058	1	41	by	by	ADP
ejpam-2058	1	42	orlicz	orlicz	ADJ
ejpam-2058	1	43	function	function	NOUN
ejpam-2058	1	44	bipan	bipan	PROPN
ejpam-2058	1	45	hazarika1	hazarika1	PROPN
ejpam-2058	1	46	,	,	PUNCT
ejpam-2058	1	47	ayhan	ayhan	PROPN
ejpam-2058	1	48	esi	esi	PROPN
ejpam-2058	1	49	2,∗	2,∗	PROPN
ejpam-2058	1	50	1	1	NUM
ejpam-2058	1	51	department	department	NOUN
ejpam-2058	1	52	of	of	ADP
ejpam-2058	1	53	mathematics	mathematic	NOUN
ejpam-2058	1	54	,	,	PUNCT
ejpam-2058	1	55	rajiv	rajiv	PROPN
ejpam-2058	1	56	gandhi	gandhi	PROPN
ejpam-2058	1	57	university	university	PROPN
ejpam-2058	1	58	,	,	PUNCT
ejpam-2058	1	59	rono	rono	PROPN
ejpam-2058	1	60	hills	hill	NOUN
ejpam-2058	1	61	,	,	PUNCT
ejpam-2058	1	62	doimukh-791	doimukh-791	NOUN
ejpam-2058	1	63	112	112	NUM
ejpam-2058	1	64	,	,	PUNCT
ejpam-2058	1	65	arunachal	arunachal	PROPN
ejpam-2058	1	66	pradesh	pradesh	PROPN
ejpam-2058	1	67	,	,	PUNCT
ejpam-2058	1	68	india	india	PROPN
ejpam-2058	1	69	2	2	NUM
ejpam-2058	1	70	adiyaman	adiyaman	PROPN
ejpam-2058	1	71	university	university	NOUN
ejpam-2058	1	72	,	,	PUNCT
ejpam-2058	1	73	science	science	NOUN
ejpam-2058	1	74	and	and	CCONJ
ejpam-2058	1	75	art	art	NOUN
ejpam-2058	1	76	faculty	faculty	NOUN
ejpam-2058	1	77	,	,	PUNCT
ejpam-2058	1	78	department	department	NOUN
ejpam-2058	1	79	of	of	ADP
ejpam-2058	1	80	mathematics	mathematic	NOUN
ejpam-2058	1	81	,	,	PUNCT
ejpam-2058	1	82	02040	02040	NUM
ejpam-2058	1	83	,	,	PUNCT
ejpam-2058	1	84	adiyaman	adiyaman	NOUN
ejpam-2058	1	85	,	,	PUNCT
ejpam-2058	1	86	turkey	turkey	NOUN
ejpam-2058	1	87	abstract	abstract	NOUN
ejpam-2058	1	88	.	.	PUNCT
ejpam-2058	2	1	in	in	ADP
ejpam-2058	2	2	this	this	DET
ejpam-2058	2	3	paper	paper	NOUN
ejpam-2058	2	4	we	we	PRON
ejpam-2058	2	5	introduce	introduce	VERB
ejpam-2058	2	6	some	some	DET
ejpam-2058	2	7	new	new	ADJ
ejpam-2058	2	8	generalized	generalized	ADJ
ejpam-2058	2	9	difference	difference	NOUN
ejpam-2058	2	10	double	double	ADJ
ejpam-2058	2	11	sequence	sequence	NOUN
ejpam-2058	2	12	spaces	space	NOUN
ejpam-2058	2	13	defined	define	VERB
ejpam-2058	2	14	by	by	ADP
ejpam-2058	2	15	orlicz	orlicz	ADJ
ejpam-2058	2	16	function	function	NOUN
ejpam-2058	2	17	and	and	CCONJ
ejpam-2058	2	18	study	study	VERB
ejpam-2058	2	19	different	different	ADJ
ejpam-2058	2	20	topological	topological	ADJ
ejpam-2058	2	21	properties	property	NOUN
ejpam-2058	2	22	of	of	ADP
ejpam-2058	2	23	these	these	DET
ejpam-2058	2	24	spaces	space	NOUN
ejpam-2058	2	25	and	and	CCONJ
ejpam-2058	2	26	also	also	ADV
ejpam-2058	2	27	establish	establish	VERB
ejpam-2058	2	28	some	some	DET
ejpam-2058	2	29	inclusion	inclusion	NOUN
ejpam-2058	2	30	results	result	NOUN
ejpam-2058	2	31	among	among	ADP
ejpam-2058	2	32	them	they	PRON
ejpam-2058	2	33	.	.	PUNCT
ejpam-2058	3	1	2010	2010	NUM
ejpam-2058	3	2	mathematics	mathematic	NOUN
ejpam-2058	3	3	subject	subject	NOUN
ejpam-2058	3	4	classifications	classification	NOUN
ejpam-2058	3	5	:	:	PUNCT
ejpam-2058	3	6	40a05,40b05	40a05,40b05	NUM
ejpam-2058	3	7	,	,	PUNCT
ejpam-2058	3	8	46a45	46a45	NUM
ejpam-2058	3	9	.	.	PUNCT
ejpam-2058	4	1	key	key	ADJ
ejpam-2058	4	2	words	word	NOUN
ejpam-2058	4	3	and	and	CCONJ
ejpam-2058	4	4	phrases	phrase	NOUN
ejpam-2058	4	5	:	:	PUNCT
ejpam-2058	4	6	orlicz	orlicz	ADJ
ejpam-2058	4	7	function	function	NOUN
ejpam-2058	4	8	,	,	PUNCT
ejpam-2058	4	9	difference	difference	NOUN
ejpam-2058	4	10	space	space	NOUN
ejpam-2058	4	11	,	,	PUNCT
ejpam-2058	4	12	double	double	ADJ
ejpam-2058	4	13	sequence	sequence	NOUN
ejpam-2058	4	14	,	,	PUNCT
ejpam-2058	4	15	p	p	NOUN
ejpam-2058	4	16	-	-	PUNCT
ejpam-2058	4	17	convergence	convergence	NOUN
ejpam-2058	4	18	.	.	PUNCT
ejpam-2058	5	1	1	1	X
ejpam-2058	5	2	.	.	X
ejpam-2058	5	3	introduction	introduction	NOUN
ejpam-2058	5	4	in	in	ADP
ejpam-2058	5	5	1971	1971	NUM
ejpam-2058	5	6	lindenstrauss	lindenstrauss	ADJ
ejpam-2058	5	7	and	and	CCONJ
ejpam-2058	5	8	tzafriri	tzafriri	NOUN
ejpam-2058	5	9	[	[	X
ejpam-2058	5	10	6	6	NUM
ejpam-2058	5	11	]	]	PUNCT
ejpam-2058	5	12	used	use	VERB
ejpam-2058	5	13	the	the	DET
ejpam-2058	5	14	idea	idea	NOUN
ejpam-2058	5	15	of	of	ADP
ejpam-2058	5	16	orlicz	orlicz	ADJ
ejpam-2058	5	17	function	function	NOUN
ejpam-2058	5	18	to	to	PART
ejpam-2058	5	19	construct	construct	VERB
ejpam-2058	5	20	the	the	DET
ejpam-2058	5	21	sequence	sequence	NOUN
ejpam-2058	5	22	space	space	NOUN
ejpam-2058	5	23	for	for	ADP
ejpam-2058	5	24	single	single	ADJ
ejpam-2058	5	25	sequences	sequence	NOUN
ejpam-2058	5	26	as	as	SCONJ
ejpam-2058	5	27	follows	follow	VERB
ejpam-2058	5	28	:	:	PUNCT
ejpam-2058	5	29	lm	lm	INTJ
ejpam-2058	5	30	=	=	PUNCT
ejpam-2058	5	31	(	(	PUNCT
ejpam-2058	5	32	x	x	SYM
ejpam-2058	5	33	=	=	SYM
ejpam-2058	5	34	�	�	PROPN
ejpam-2058	5	35	xk	xk	PROPN
ejpam-2058	5	36	�	�	PROPN
ejpam-2058	5	37	:	:	PUNCT
ejpam-2058	5	38	∞	∞	PROPN
ejpam-2058	5	39	∑	∑	PUNCT
ejpam-2058	5	40	k=1	k=1	PROPN
ejpam-2058	5	41	m	m	VERB
ejpam-2058	5	42	�	�	PROPN
ejpam-2058	5	43	�	�	PROPN
ejpam-2058	5	44	�	�	PROPN
ejpam-2058	5	45	xk	xk	PROPN
ejpam-2058	5	46	�	�	PROPN
ejpam-2058	5	47	�	�	PROPN
ejpam-2058	5	48	ρ	ρ	PROPN
ejpam-2058	5	49	�	�	PROPN
ejpam-2058	5	50	<	<	X
ejpam-2058	5	51	∞	∞	PROPN
ejpam-2058	5	52	,	,	PUNCT
ejpam-2058	5	53	for	for	ADP
ejpam-2058	5	54	some	some	DET
ejpam-2058	5	55	ρ	ρ	NOUN
ejpam-2058	5	56	>	>	X
ejpam-2058	5	57	0	0	NUM
ejpam-2058	5	58	)	)	PUNCT
ejpam-2058	5	59	,	,	PUNCT
ejpam-2058	5	60	which	which	PRON
ejpam-2058	5	61	is	be	AUX
ejpam-2058	5	62	a	a	DET
ejpam-2058	5	63	banach	banach	NOUN
ejpam-2058	5	64	space	space	NOUN
ejpam-2058	5	65	normed	norme	VERB
ejpam-2058	5	66	by	by	ADP
ejpam-2058	5	67	�	�	PROPN
ejpam-2058	5	68	xk	xk	PROPN
ejpam-2058	5	69	�	�	PROPN
ejpam-2058	5	70	=	=	PROPN
ejpam-2058	5	71	inf	inf	PROPN
ejpam-2058	5	72	(	(	PUNCT
ejpam-2058	5	73	ρ	ρ	PROPN
ejpam-2058	5	74	>	>	X
ejpam-2058	5	75	0	0	NUM
ejpam-2058	6	1	:	:	PUNCT
ejpam-2058	6	2	∞	∞	NUM
ejpam-2058	6	3	∑	∑	PUNCT
ejpam-2058	6	4	k=1	k=1	PROPN
ejpam-2058	6	5	m	m	VERB
ejpam-2058	6	6	�	�	PROPN
ejpam-2058	6	7	�	�	PROPN
ejpam-2058	6	8	�	�	PROPN
ejpam-2058	6	9	xk	xk	PROPN
ejpam-2058	6	10	�	�	PROPN
ejpam-2058	6	11	�	�	PROPN
ejpam-2058	6	12	ρ	ρ	PROPN
ejpam-2058	6	13	�	�	PROPN
ejpam-2058	6	14	≤	≤	PROPN
ejpam-2058	6	15	1	1	NUM
ejpam-2058	6	16	)	)	PUNCT
ejpam-2058	6	17	.	.	PUNCT
ejpam-2058	7	1	definition	definition	NOUN
ejpam-2058	7	2	1	1	NUM
ejpam-2058	7	3	.	.	PUNCT
ejpam-2058	8	1	an	an	DET
ejpam-2058	8	2	orlicz	orlicz	ADJ
ejpam-2058	8	3	function	function	NOUN
ejpam-2058	8	4	is	be	AUX
ejpam-2058	8	5	a	a	DET
ejpam-2058	8	6	function	function	NOUN
ejpam-2058	8	7	m	m	NOUN
ejpam-2058	8	8	:	:	PUNCT
ejpam-2058	9	1	[	[	X
ejpam-2058	9	2	0,∞)→	0,∞)→	NOUN
ejpam-2058	9	3	[	[	X
ejpam-2058	9	4	0,∞	0,∞	NOUN
ejpam-2058	9	5	)	)	PUNCT
ejpam-2058	9	6	which	which	PRON
ejpam-2058	9	7	is	be	AUX
ejpam-2058	9	8	continuous	continuous	ADJ
ejpam-2058	9	9	,	,	PUNCT
ejpam-2058	9	10	nondecreasing	nondecreasing	ADJ
ejpam-2058	9	11	and	and	CCONJ
ejpam-2058	9	12	convex	convex	VERB
ejpam-2058	9	13	with	with	ADP
ejpam-2058	9	14	m	m	PROPN
ejpam-2058	9	15	(	(	PUNCT
ejpam-2058	9	16	0	0	NUM
ejpam-2058	9	17	)	)	PUNCT
ejpam-2058	9	18	=	=	SYM
ejpam-2058	9	19	0	0	NUM
ejpam-2058	9	20	,	,	PUNCT
ejpam-2058	9	21	m	m	VERB
ejpam-2058	9	22	(	(	PUNCT
ejpam-2058	9	23	x	x	NOUN
ejpam-2058	9	24	)	)	PUNCT
ejpam-2058	9	25	>	>	X
ejpam-2058	9	26	0	0	PUNCT
ejpam-2058	9	27	for	for	ADP
ejpam-2058	9	28	x	x	PUNCT
ejpam-2058	9	29	>	>	X
ejpam-2058	9	30	0	0	PUNCT
ejpam-2058	9	31	and	and	CCONJ
ejpam-2058	9	32	m	m	PRON
ejpam-2058	9	33	(	(	PUNCT
ejpam-2058	9	34	x)→∞	x)→∞	NOUN
ejpam-2058	9	35	as	as	ADP
ejpam-2058	9	36	x	x	X
ejpam-2058	9	37	→∞.	→∞.	SYM
ejpam-2058	9	38	∗corresponding	∗corresponde	VERB
ejpam-2058	9	39	author	author	NOUN
ejpam-2058	9	40	.	.	PUNCT
ejpam-2058	10	1	email	email	NOUN
ejpam-2058	10	2	addresses	address	NOUN
ejpam-2058	10	3	:	:	PUNCT
ejpam-2058	10	4	bh_rgu@yahoo.co.in	bh_rgu@yahoo.co.in	X
ejpam-2058	10	5	(	(	PUNCT
ejpam-2058	10	6	b.	b.	NOUN
ejpam-2058	10	7	hazarika	hazarika	NOUN
ejpam-2058	10	8	)	)	PUNCT
ejpam-2058	10	9	,	,	PUNCT
ejpam-2058	10	10	aesi23@adiyaman.edu.tr	aesi23@adiyaman.edu.tr	PROPN
ejpam-2058	10	11	(	(	PUNCT
ejpam-2058	10	12	a.	a.	PROPN
ejpam-2058	10	13	esi	esi	PROPN
ejpam-2058	10	14	)	)	PUNCT
ejpam-2058	10	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2058	11	1	201	201	NUM
ejpam-2058	11	2	c	c	X
ejpam-2058	11	3	©	©	PROPN
ejpam-2058	11	4	2015	2015	NUM
ejpam-2058	11	5	ejpam	ejpam	NOUN
ejpam-2058	11	6	all	all	DET
ejpam-2058	11	7	rights	right	NOUN
ejpam-2058	11	8	reserved	reserve	VERB
ejpam-2058	11	9	.	.	PUNCT
ejpam-2058	12	1	b.	b.	PROPN
ejpam-2058	12	2	hazarika	hazarika	PROPN
ejpam-2058	12	3	,	,	PUNCT
ejpam-2058	12	4	a.	a.	PROPN
ejpam-2058	12	5	esi	esi	PROPN
ejpam-2058	12	6	/	/	SYM
ejpam-2058	12	7	eur	eur	PROPN
ejpam-2058	12	8	.	.	PUNCT
ejpam-2058	13	1	j.	j.	PROPN
ejpam-2058	13	2	pure	pure	PROPN
ejpam-2058	13	3	appl	appl	PROPN
ejpam-2058	13	4	.	.	PROPN
ejpam-2058	13	5	math	math	PROPN
ejpam-2058	13	6	,	,	PUNCT
ejpam-2058	13	7	8	8	NUM
ejpam-2058	13	8	(	(	PUNCT
ejpam-2058	13	9	2015	2015	NUM
ejpam-2058	13	10	)	)	PUNCT
ejpam-2058	13	11	,	,	PUNCT
ejpam-2058	13	12	201	201	NUM
ejpam-2058	13	13	-	-	SYM
ejpam-2058	13	14	213	213	NUM
ejpam-2058	13	15	202	202	NUM
ejpam-2058	13	16	an	an	DET
ejpam-2058	13	17	orlicz	orlicz	ADJ
ejpam-2058	13	18	function	function	NOUN
ejpam-2058	13	19	m	m	VERB
ejpam-2058	13	20	is	be	AUX
ejpam-2058	13	21	said	say	VERB
ejpam-2058	13	22	to	to	PART
ejpam-2058	13	23	satisfy	satisfy	VERB
ejpam-2058	13	24	the	the	DET
ejpam-2058	13	25	∆2	∆2	NOUN
ejpam-2058	13	26	-	-	PUNCT
ejpam-2058	13	27	condition	condition	NOUN
ejpam-2058	13	28	for	for	ADP
ejpam-2058	13	29	all	all	DET
ejpam-2058	13	30	values	value	NOUN
ejpam-2058	13	31	of	of	ADP
ejpam-2058	13	32	u	u	NOUN
ejpam-2058	13	33	,	,	PUNCT
ejpam-2058	13	34	if	if	SCONJ
ejpam-2058	13	35	there	there	PRON
ejpam-2058	13	36	exists	exist	VERB
ejpam-2058	13	37	a	a	DET
ejpam-2058	13	38	constant	constant	ADJ
ejpam-2058	13	39	k	k	X
ejpam-2058	13	40	>	>	X
ejpam-2058	13	41	0	0	PROPN
ejpam-2058	13	42	,	,	PUNCT
ejpam-2058	13	43	such	such	ADJ
ejpam-2058	13	44	that	that	SCONJ
ejpam-2058	13	45	m(2u)≤	m(2u)≤	NOUN
ejpam-2058	13	46	km(u	km(u	PUNCT
ejpam-2058	13	47	)	)	PUNCT
ejpam-2058	13	48	,	,	PUNCT
ejpam-2058	13	49	u≥	u≥	PROPN
ejpam-2058	13	50	0	0	NUM
ejpam-2058	13	51	.	.	PUNCT
ejpam-2058	14	1	note	note	VERB
ejpam-2058	14	2	that	that	SCONJ
ejpam-2058	14	3	,	,	PUNCT
ejpam-2058	14	4	if	if	SCONJ
ejpam-2058	14	5	0	0	NUM
ejpam-2058	14	6	<	<	X
ejpam-2058	14	7	λ	λ	X
ejpam-2058	14	8	<	<	X
ejpam-2058	14	9	1	1	NUM
ejpam-2058	14	10	,	,	PUNCT
ejpam-2058	14	11	then	then	ADV
ejpam-2058	14	12	m	m	PROPN
ejpam-2058	14	13	(	(	PUNCT
ejpam-2058	14	14	λx)≤	λx)≤	X
ejpam-2058	14	15	λm	λm	X
ejpam-2058	14	16	(	(	PUNCT
ejpam-2058	14	17	x	x	NOUN
ejpam-2058	14	18	)	)	PUNCT
ejpam-2058	14	19	,	,	PUNCT
ejpam-2058	14	20	for	for	ADP
ejpam-2058	14	21	all	all	DET
ejpam-2058	14	22	x	x	PRON
ejpam-2058	14	23	≥	≥	NOUN
ejpam-2058	14	24	0	0	NUM
ejpam-2058	14	25	.	.	PUNCT
ejpam-2058	15	1	in	in	ADP
ejpam-2058	15	2	the	the	DET
ejpam-2058	15	3	later	later	ADJ
ejpam-2058	15	4	stage	stage	NOUN
ejpam-2058	15	5	different	different	ADJ
ejpam-2058	15	6	orlicz	orlicz	ADJ
ejpam-2058	15	7	sequence	sequence	NOUN
ejpam-2058	15	8	spaces	space	NOUN
ejpam-2058	15	9	were	be	AUX
ejpam-2058	15	10	introduced	introduce	VERB
ejpam-2058	15	11	and	and	CCONJ
ejpam-2058	15	12	studied	study	VERB
ejpam-2058	15	13	by	by	ADP
ejpam-2058	15	14	parashar	parashar	PROPN
ejpam-2058	15	15	and	and	CCONJ
ejpam-2058	15	16	choudhary	choudhary	PROPN
ejpam-2058	16	1	[	[	X
ejpam-2058	16	2	8	8	NUM
ejpam-2058	16	3	]	]	PUNCT
ejpam-2058	16	4	,	,	PUNCT
ejpam-2058	16	5	et	et	NOUN
ejpam-2058	16	6	and	and	CCONJ
ejpam-2058	16	7	colak	colak	ADJ
ejpam-2058	16	8	[	[	X
ejpam-2058	16	9	2	2	X
ejpam-2058	16	10	]	]	PUNCT
ejpam-2058	16	11	and	and	CCONJ
ejpam-2058	16	12	many	many	ADJ
ejpam-2058	16	13	others	other	NOUN
ejpam-2058	16	14	.	.	PUNCT
ejpam-2058	17	1	kizmaz	kizmaz	X
ejpam-2058	18	1	[	[	X
ejpam-2058	18	2	5	5	NUM
ejpam-2058	18	3	]	]	PUNCT
ejpam-2058	18	4	introduced	introduce	VERB
ejpam-2058	18	5	the	the	DET
ejpam-2058	18	6	notion	notion	NOUN
ejpam-2058	18	7	of	of	ADP
ejpam-2058	18	8	difference	difference	NOUN
ejpam-2058	18	9	sequence	sequence	NOUN
ejpam-2058	18	10	spaces	space	NOUN
ejpam-2058	18	11	as	as	SCONJ
ejpam-2058	18	12	follows	follow	VERB
ejpam-2058	18	13	:	:	PUNCT
ejpam-2058	18	14	x	x	X
ejpam-2058	18	15	(	(	PUNCT
ejpam-2058	18	16	∆	∆	X
ejpam-2058	18	17	)	)	PUNCT
ejpam-2058	18	18	=	=	SYM
ejpam-2058	18	19	�	�	PROPN
ejpam-2058	18	20	x	x	SYM
ejpam-2058	18	21	=	=	SYM
ejpam-2058	18	22	�	�	PROPN
ejpam-2058	18	23	xk	xk	PROPN
ejpam-2058	18	24	�	�	PROPN
ejpam-2058	18	25	:	:	PUNCT
ejpam-2058	18	26	�	�	PROPN
ejpam-2058	18	27	∆xk	∆xk	NOUN
ejpam-2058	18	28	�	�	PROPN
ejpam-2058	18	29	∈	∈	PROPN
ejpam-2058	18	30	x	x	PUNCT
ejpam-2058	18	31	for	for	ADP
ejpam-2058	18	32	x	x	SYM
ejpam-2058	18	33	=	=	SYM
ejpam-2058	18	34	l∞	l∞	PROPN
ejpam-2058	18	35	,	,	PUNCT
ejpam-2058	18	36	c	c	PROPN
ejpam-2058	18	37	and	and	CCONJ
ejpam-2058	18	38	co.	co.	PROPN
ejpam-2058	18	39	later	later	ADV
ejpam-2058	18	40	on	on	ADV
ejpam-2058	18	41	,	,	PUNCT
ejpam-2058	18	42	the	the	DET
ejpam-2058	18	43	notion	notion	NOUN
ejpam-2058	18	44	was	be	AUX
ejpam-2058	18	45	generalized	generalize	VERB
ejpam-2058	18	46	by	by	ADP
ejpam-2058	18	47	et	et	NOUN
ejpam-2058	18	48	and	and	CCONJ
ejpam-2058	18	49	colak	colak	ADJ
ejpam-2058	19	1	[	[	X
ejpam-2058	19	2	2	2	X
ejpam-2058	19	3	]	]	PUNCT
ejpam-2058	19	4	as	as	SCONJ
ejpam-2058	19	5	follows	follow	VERB
ejpam-2058	19	6	:	:	PUNCT
ejpam-2058	19	7	x	x	SYM
ejpam-2058	19	8	(	(	PUNCT
ejpam-2058	19	9	∆m	∆m	PROPN
ejpam-2058	19	10	)	)	PUNCT
ejpam-2058	19	11	=	=	SYM
ejpam-2058	19	12	�	�	PROPN
ejpam-2058	19	13	x	x	SYM
ejpam-2058	19	14	=	=	SYM
ejpam-2058	19	15	�	�	PROPN
ejpam-2058	19	16	xk	xk	PROPN
ejpam-2058	19	17	�	�	PROPN
ejpam-2058	19	18	:	:	PUNCT
ejpam-2058	19	19	�	�	PROPN
ejpam-2058	19	20	∆m	∆m	PROPN
ejpam-2058	19	21	xk	xk	PROPN
ejpam-2058	19	22	�	�	PROPN
ejpam-2058	19	23	∈	∈	PROPN
ejpam-2058	19	24	x	x	PUNCT
ejpam-2058	19	25	for	for	ADP
ejpam-2058	19	26	x	x	SYM
ejpam-2058	19	27	=	=	SYM
ejpam-2058	19	28	l∞	l∞	PROPN
ejpam-2058	19	29	,	,	PUNCT
ejpam-2058	19	30	c	c	NOUN
ejpam-2058	19	31	and	and	CCONJ
ejpam-2058	19	32	co	co	NOUN
ejpam-2058	19	33	,	,	PUNCT
ejpam-2058	19	34	where	where	SCONJ
ejpam-2058	19	35	∆m	∆m	PROPN
ejpam-2058	19	36	x	x	PROPN
ejpam-2058	19	37	=	=	SYM
ejpam-2058	19	38	�	�	PROPN
ejpam-2058	19	39	∆m	∆m	PROPN
ejpam-2058	19	40	xk	xk	PROPN
ejpam-2058	19	41	�	�	PROPN
ejpam-2058	19	42	=	=	SYM
ejpam-2058	19	43	�	�	PROPN
ejpam-2058	19	44	∆m−1	∆m−1	NUM
ejpam-2058	19	45	xk	xk	PROPN
ejpam-2058	19	46	−∆m−1	−∆m−1	PROPN
ejpam-2058	19	47	xk+1	xk+1	PROPN
ejpam-2058	19	48	�	�	PROPN
ejpam-2058	19	49	,	,	PUNCT
ejpam-2058	19	50	∆0	∆0	NUM
ejpam-2058	19	51	x	x	X
ejpam-2058	20	1	=	=	PUNCT
ejpam-2058	20	2	x	x	X
ejpam-2058	20	3	and	and	CCONJ
ejpam-2058	20	4	also	also	ADV
ejpam-2058	20	5	this	this	DET
ejpam-2058	20	6	generalized	generalized	ADJ
ejpam-2058	20	7	difference	difference	NOUN
ejpam-2058	20	8	notion	notion	NOUN
ejpam-2058	20	9	has	have	VERB
ejpam-2058	20	10	the	the	DET
ejpam-2058	20	11	following	follow	VERB
ejpam-2058	20	12	binomial	binomial	ADJ
ejpam-2058	20	13	representation	representation	NOUN
ejpam-2058	20	14	:	:	PUNCT
ejpam-2058	20	15	∆m	∆m	PROPN
ejpam-2058	20	16	xk	xk	PROPN
ejpam-2058	21	1	=	=	PROPN
ejpam-2058	21	2	m	m	VERB
ejpam-2058	21	3	∑	∑	ADJ
ejpam-2058	21	4	i=0	i=0	PROPN
ejpam-2058	21	5	(	(	PUNCT
ejpam-2058	21	6	−1)i	−1)i	X
ejpam-2058	21	7	�	�	PROPN
ejpam-2058	21	8	m	m	VERB
ejpam-2058	21	9	i	i	NOUN
ejpam-2058	21	10	�	�	PROPN
ejpam-2058	21	11	xk+i	xk+i	PROPN
ejpam-2058	21	12	for	for	ADP
ejpam-2058	21	13	all	all	DET
ejpam-2058	21	14	k	k	PROPN
ejpam-2058	21	15	∈	∈	PROPN
ejpam-2058	21	16	n.	n.	NOUN
ejpam-2058	21	17	definition	definition	NOUN
ejpam-2058	21	18	2	2	NUM
ejpam-2058	21	19	(	(	PUNCT
ejpam-2058	21	20	[	[	X
ejpam-2058	21	21	9	9	NUM
ejpam-2058	21	22	]	]	NUM
ejpam-2058	21	23	)	)	PUNCT
ejpam-2058	21	24	.	.	PUNCT
ejpam-2058	22	1	a	a	DET
ejpam-2058	22	2	double	double	ADJ
ejpam-2058	22	3	sequence	sequence	NOUN
ejpam-2058	22	4	x	x	X
ejpam-2058	22	5	=	=	SYM
ejpam-2058	22	6	�	�	PROPN
ejpam-2058	22	7	xk	xk	PROPN
ejpam-2058	22	8	,	,	PUNCT
ejpam-2058	22	9	l	l	PROPN
ejpam-2058	22	10	�	�	PROPN
ejpam-2058	22	11	has	have	VERB
ejpam-2058	22	12	a	a	DET
ejpam-2058	22	13	pringsheim	pringsheim	NOUN
ejpam-2058	22	14	limit	limit	NOUN
ejpam-2058	22	15	l	l	NOUN
ejpam-2058	22	16	(	(	PUNCT
ejpam-2058	22	17	denoted	denote	VERB
ejpam-2058	22	18	by	by	ADP
ejpam-2058	22	19	p	p	PROPN
ejpam-2058	22	20	−	−	PROPN
ejpam-2058	22	21	lim	lim	NOUN
ejpam-2058	22	22	x	x	PUNCT
ejpam-2058	22	23	=	=	PUNCT
ejpam-2058	22	24	l	l	NOUN
ejpam-2058	22	25	)	)	PUNCT
ejpam-2058	22	26	provided	provide	VERB
ejpam-2058	22	27	that	that	SCONJ
ejpam-2058	22	28	given	give	VERB
ejpam-2058	22	29	an	an	DET
ejpam-2058	22	30	ǫ	ǫ	NOUN
ejpam-2058	22	31	>	>	X
ejpam-2058	22	32	0	0	PUNCT
ejpam-2058	23	1	there	there	PRON
ejpam-2058	23	2	exists	exist	VERB
ejpam-2058	23	3	an	an	DET
ejpam-2058	23	4	n	n	NOUN
ejpam-2058	23	5	∈	∈	NOUN
ejpam-2058	23	6	n	n	PRON
ejpam-2058	23	7	such	such	ADJ
ejpam-2058	23	8	that	that	SCONJ
ejpam-2058	23	9	�	�	PROPN
ejpam-2058	23	10	�	�	PROPN
ejpam-2058	23	11	xk	xk	PROPN
ejpam-2058	23	12	,	,	PUNCT
ejpam-2058	23	13	l	l	NOUN
ejpam-2058	23	14	−	−	PROPN
ejpam-2058	23	15	l	l	X
ejpam-2058	23	16	�	�	PROPN
ejpam-2058	23	17	�	�	PROPN
ejpam-2058	23	18	<	<	X
ejpam-2058	23	19	ǫ	ǫ	X
ejpam-2058	23	20	whenever	whenever	SCONJ
ejpam-2058	23	21	k	k	X
ejpam-2058	23	22	,	,	PUNCT
ejpam-2058	23	23	l	l	NOUN
ejpam-2058	23	24	>	>	X
ejpam-2058	23	25	n.	n.	NOUN
ejpam-2058	24	1	we	we	PRON
ejpam-2058	24	2	shall	shall	AUX
ejpam-2058	24	3	describe	describe	VERB
ejpam-2058	24	4	such	such	DET
ejpam-2058	24	5	an	an	DET
ejpam-2058	24	6	x	x	SYM
ejpam-2058	24	7	=	=	SYM
ejpam-2058	24	8	�	�	PROPN
ejpam-2058	24	9	xk	xk	PROPN
ejpam-2058	24	10	,	,	PUNCT
ejpam-2058	24	11	l	l	PROPN
ejpam-2058	24	12	�	�	PROPN
ejpam-2058	24	13	more	more	ADV
ejpam-2058	24	14	briefly	briefly	ADV
ejpam-2058	24	15	as	as	ADP
ejpam-2058	24	16	"	"	PUNCT
ejpam-2058	24	17	p	p	NOUN
ejpam-2058	24	18	-	-	PUNCT
ejpam-2058	24	19	convergent	convergent	NOUN
ejpam-2058	24	20	"	"	PUNCT
ejpam-2058	24	21	.	.	PUNCT
ejpam-2058	25	1	the	the	DET
ejpam-2058	25	2	four	four	NUM
ejpam-2058	25	3	dimensional	dimensional	ADJ
ejpam-2058	25	4	matrix	matrix	NOUN
ejpam-2058	25	5	a	a	PRON
ejpam-2058	25	6	is	be	AUX
ejpam-2058	25	7	said	say	VERB
ejpam-2058	25	8	to	to	PART
ejpam-2058	25	9	be	be	AUX
ejpam-2058	25	10	rh	rh	NOUN
ejpam-2058	25	11	-	-	NOUN
ejpam-2058	25	12	regular	regular	ADJ
ejpam-2058	25	13	if	if	SCONJ
ejpam-2058	25	14	it	it	PRON
ejpam-2058	25	15	maps	map	VERB
ejpam-2058	25	16	every	every	DET
ejpam-2058	25	17	bounded	bounded	ADJ
ejpam-2058	25	18	p	p	ADJ
ejpam-2058	25	19	-	-	PUNCT
ejpam-2058	25	20	convergent	convergent	NOUN
ejpam-2058	25	21	sequence	sequence	NOUN
ejpam-2058	25	22	into	into	ADP
ejpam-2058	25	23	a	a	DET
ejpam-2058	25	24	p	p	NOUN
ejpam-2058	25	25	-	-	PUNCT
ejpam-2058	25	26	convergent	convergent	NOUN
ejpam-2058	25	27	sequence	sequence	NOUN
ejpam-2058	25	28	with	with	ADP
ejpam-2058	25	29	the	the	DET
ejpam-2058	25	30	same	same	ADJ
ejpam-2058	25	31	p	p	NOUN
ejpam-2058	25	32	-	-	PUNCT
ejpam-2058	25	33	limit	limit	NOUN
ejpam-2058	25	34	.	.	PUNCT
ejpam-2058	26	1	the	the	DET
ejpam-2058	26	2	assumption	assumption	NOUN
ejpam-2058	26	3	of	of	ADP
ejpam-2058	26	4	boundedness	boundedness	NOUN
ejpam-2058	26	5	was	be	AUX
ejpam-2058	26	6	made	make	VERB
ejpam-2058	26	7	because	because	SCONJ
ejpam-2058	26	8	a	a	DET
ejpam-2058	26	9	double	double	ADJ
ejpam-2058	26	10	sequence	sequence	NOUN
ejpam-2058	26	11	which	which	PRON
ejpam-2058	26	12	is	be	AUX
ejpam-2058	26	13	p	p	NOUN
ejpam-2058	26	14	-	-	PUNCT
ejpam-2058	26	15	convergent	convergent	NOUN
ejpam-2058	26	16	is	be	AUX
ejpam-2058	26	17	not	not	PART
ejpam-2058	26	18	necessarily	necessarily	ADV
ejpam-2058	26	19	bounded	bound	VERB
ejpam-2058	26	20	.	.	PUNCT
ejpam-2058	27	1	using	use	VERB
ejpam-2058	27	2	this	this	DET
ejpam-2058	27	3	definition	definition	NOUN
ejpam-2058	27	4	robison	robison	PROPN
ejpam-2058	27	5	and	and	CCONJ
ejpam-2058	27	6	hamilton	hamilton	PROPN
ejpam-2058	27	7	,	,	PUNCT
ejpam-2058	27	8	independently	independently	ADV
ejpam-2058	27	9	,	,	PUNCT
ejpam-2058	27	10	both	both	PRON
ejpam-2058	27	11	presented	present	VERB
ejpam-2058	27	12	the	the	DET
ejpam-2058	27	13	following	follow	VERB
ejpam-2058	27	14	silvermantoeplitz	silvermantoeplitz	NOUN
ejpam-2058	27	15	type	type	NOUN
ejpam-2058	27	16	characterization	characterization	NOUN
ejpam-2058	27	17	of	of	ADP
ejpam-2058	27	18	rh	rh	NOUN
ejpam-2058	27	19	-	-	PUNCT
ejpam-2058	27	20	regularity	regularity	NOUN
ejpam-2058	27	21	.	.	PUNCT
ejpam-2058	28	1	lemma	lemma	PROPN
ejpam-2058	28	2	1	1	NUM
ejpam-2058	28	3	(	(	PUNCT
ejpam-2058	28	4	[	[	X
ejpam-2058	28	5	4	4	NUM
ejpam-2058	28	6	,	,	PUNCT
ejpam-2058	28	7	10	10	NUM
ejpam-2058	28	8	]	]	NUM
ejpam-2058	28	9	)	)	PUNCT
ejpam-2058	28	10	.	.	PUNCT
ejpam-2058	29	1	the	the	DET
ejpam-2058	29	2	four	four	NUM
ejpam-2058	29	3	dimensional	dimensional	ADJ
ejpam-2058	29	4	matrix	matrix	NOUN
ejpam-2058	29	5	a	a	PRON
ejpam-2058	29	6	is	be	AUX
ejpam-2058	29	7	rh	rh	NOUN
ejpam-2058	29	8	-	-	PUNCT
ejpam-2058	29	9	regular	regular	ADJ
ejpam-2058	29	10	if	if	SCONJ
ejpam-2058	30	1	and	and	CCONJ
ejpam-2058	30	2	only	only	ADV
ejpam-2058	30	3	if	if	SCONJ
ejpam-2058	30	4	rh1	rh1	NOUN
ejpam-2058	30	5	:	:	PUNCT
ejpam-2058	30	6	p	p	NOUN
ejpam-2058	30	7	−	−	PROPN
ejpam-2058	30	8	limm	limm	NOUN
ejpam-2058	30	9	,	,	PUNCT
ejpam-2058	30	10	n	n	PRON
ejpam-2058	30	11	am	be	AUX
ejpam-2058	30	12	,	,	PUNCT
ejpam-2058	30	13	n	n	CCONJ
ejpam-2058	30	14	,	,	PUNCT
ejpam-2058	30	15	k	k	NOUN
ejpam-2058	30	16	,	,	PUNCT
ejpam-2058	30	17	l	l	NOUN
ejpam-2058	30	18	=	=	SYM
ejpam-2058	30	19	0	0	NUM
ejpam-2058	30	20	for	for	ADP
ejpam-2058	30	21	each	each	DET
ejpam-2058	30	22	k	k	PROPN
ejpam-2058	30	23	and	and	CCONJ
ejpam-2058	30	24	l	l	NOUN
ejpam-2058	30	25	;	;	PUNCT
ejpam-2058	30	26	rh2	rh2	VERB
ejpam-2058	30	27	:	:	PUNCT
ejpam-2058	30	28	p	p	X
ejpam-2058	30	29	−	−	PROPN
ejpam-2058	30	30	limm	limm	NOUN
ejpam-2058	30	31	,	,	PUNCT
ejpam-2058	30	32	n	n	CCONJ
ejpam-2058	30	33	∑∞,∞	∑∞,∞	PROPN
ejpam-2058	30	34	k	k	NOUN
ejpam-2058	30	35	,	,	PUNCT
ejpam-2058	30	36	l=1,1	l=1,1	PROPN
ejpam-2058	30	37	am	be	AUX
ejpam-2058	30	38	,	,	PUNCT
ejpam-2058	30	39	n	n	CCONJ
ejpam-2058	30	40	,	,	PUNCT
ejpam-2058	30	41	k	k	NOUN
ejpam-2058	30	42	,	,	PUNCT
ejpam-2058	30	43	l	l	NOUN
ejpam-2058	30	44	=	=	SYM
ejpam-2058	30	45	1	1	NUM
ejpam-2058	30	46	;	;	PUNCT
ejpam-2058	30	47	rh3	rh3	NOUN
ejpam-2058	30	48	:	:	PUNCT
ejpam-2058	31	1	p	p	NOUN
ejpam-2058	31	2	−	−	PROPN
ejpam-2058	31	3	limm	limm	NOUN
ejpam-2058	31	4	,	,	PUNCT
ejpam-2058	31	5	n	n	CCONJ
ejpam-2058	31	6	∑∞,∞	∑∞,∞	PROPN
ejpam-2058	31	7	k	k	NOUN
ejpam-2058	31	8	,	,	PUNCT
ejpam-2058	31	9	l=1,1	l=1,1	PROPN
ejpam-2058	31	10	�	�	PROPN
ejpam-2058	31	11	�	�	PROPN
ejpam-2058	31	12	am	am	PROPN
ejpam-2058	31	13	,	,	PUNCT
ejpam-2058	31	14	n	n	CCONJ
ejpam-2058	31	15	,	,	PUNCT
ejpam-2058	31	16	k	k	NOUN
ejpam-2058	31	17	,	,	PUNCT
ejpam-2058	31	18	l	l	PROPN
ejpam-2058	31	19	�	�	PROPN
ejpam-2058	31	20	�	�	PROPN
ejpam-2058	31	21	=	=	NOUN
ejpam-2058	31	22	0	0	NUM
ejpam-2058	31	23	for	for	ADP
ejpam-2058	31	24	each	each	DET
ejpam-2058	31	25	l	l	NOUN
ejpam-2058	31	26	;	;	PUNCT
ejpam-2058	31	27	rh4	rh4	NOUN
ejpam-2058	31	28	:	:	PUNCT
ejpam-2058	31	29	p	p	X
ejpam-2058	31	30	−	−	PROPN
ejpam-2058	31	31	limm	limm	NOUN
ejpam-2058	31	32	,	,	PUNCT
ejpam-2058	31	33	n	n	CCONJ
ejpam-2058	31	34	∑∞,∞	∑∞,∞	PROPN
ejpam-2058	31	35	k	k	NOUN
ejpam-2058	31	36	,	,	PUNCT
ejpam-2058	31	37	l=1,1	l=1,1	PROPN
ejpam-2058	31	38	�	�	PROPN
ejpam-2058	31	39	�	�	PROPN
ejpam-2058	31	40	am	am	PROPN
ejpam-2058	31	41	,	,	PUNCT
ejpam-2058	31	42	n	n	CCONJ
ejpam-2058	31	43	,	,	PUNCT
ejpam-2058	31	44	k	k	NOUN
ejpam-2058	31	45	,	,	PUNCT
ejpam-2058	31	46	l	l	PROPN
ejpam-2058	31	47	�	�	PROPN
ejpam-2058	31	48	�	�	PROPN
ejpam-2058	31	49	=	=	SYM
ejpam-2058	31	50	0	0	NUM
ejpam-2058	31	51	,	,	PUNCT
ejpam-2058	31	52	for	for	ADP
ejpam-2058	31	53	each	each	DET
ejpam-2058	31	54	k	k	NOUN
ejpam-2058	31	55	;	;	PUNCT
ejpam-2058	31	56	rh5	rh5	VERB
ejpam-2058	31	57	:	:	PUNCT
ejpam-2058	31	58	∑∞,∞	∑∞,∞	PROPN
ejpam-2058	31	59	k	k	NOUN
ejpam-2058	31	60	,	,	PUNCT
ejpam-2058	31	61	l=1,1	l=1,1	PROPN
ejpam-2058	31	62	�	�	PROPN
ejpam-2058	31	63	�	�	PROPN
ejpam-2058	31	64	am	am	PROPN
ejpam-2058	31	65	,	,	PUNCT
ejpam-2058	31	66	n	n	CCONJ
ejpam-2058	31	67	,	,	PUNCT
ejpam-2058	31	68	k	k	NOUN
ejpam-2058	31	69	,	,	PUNCT
ejpam-2058	31	70	l	l	PROPN
ejpam-2058	31	71	�	�	PROPN
ejpam-2058	31	72	�	�	PROPN
ejpam-2058	31	73	is	be	AUX
ejpam-2058	31	74	p	p	NOUN
ejpam-2058	31	75	-	-	PUNCT
ejpam-2058	31	76	convergent	convergent	NOUN
ejpam-2058	31	77	;	;	PUNCT
ejpam-2058	31	78	rh6	rh6	NOUN
ejpam-2058	31	79	:	:	PUNCT
ejpam-2058	31	80	there	there	PRON
ejpam-2058	31	81	exist	exist	VERB
ejpam-2058	31	82	finite	finite	ADJ
ejpam-2058	31	83	positive	positive	ADJ
ejpam-2058	31	84	integers	integer	NOUN
ejpam-2058	31	85	e	e	NOUN
ejpam-2058	31	86	and	and	CCONJ
ejpam-2058	31	87	f	f	PROPN
ejpam-2058	31	88	such	such	ADJ
ejpam-2058	31	89	that	that	SCONJ
ejpam-2058	31	90	∑	∑	PROPN
ejpam-2058	31	91	k	k	PROPN
ejpam-2058	31	92	,	,	PUNCT
ejpam-2058	31	93	l	l	NOUN
ejpam-2058	31	94	>	>	X
ejpam-2058	31	95	f	f	PROPN
ejpam-2058	31	96	�	�	PROPN
ejpam-2058	31	97	�	�	PROPN
ejpam-2058	31	98	am	am	PROPN
ejpam-2058	31	99	,	,	PUNCT
ejpam-2058	31	100	n	n	CCONJ
ejpam-2058	31	101	,	,	PUNCT
ejpam-2058	31	102	k	k	NOUN
ejpam-2058	31	103	,	,	PUNCT
ejpam-2058	31	104	l	l	PROPN
ejpam-2058	31	105	�	�	PROPN
ejpam-2058	31	106	�	�	PROPN
ejpam-2058	31	107	<	<	PROPN
ejpam-2058	31	108	e.	e.	PROPN
ejpam-2058	31	109	b.	b.	PROPN
ejpam-2058	31	110	hazarika	hazarika	PROPN
ejpam-2058	31	111	,	,	PUNCT
ejpam-2058	31	112	a.	a.	PROPN
ejpam-2058	31	113	esi	esi	PROPN
ejpam-2058	31	114	/	/	SYM
ejpam-2058	31	115	eur	eur	PROPN
ejpam-2058	31	116	.	.	PUNCT
ejpam-2058	32	1	j.	j.	PROPN
ejpam-2058	32	2	pure	pure	PROPN
ejpam-2058	32	3	appl	appl	PROPN
ejpam-2058	32	4	.	.	PROPN
ejpam-2058	32	5	math	math	PROPN
ejpam-2058	32	6	,	,	PUNCT
ejpam-2058	32	7	8	8	NUM
ejpam-2058	32	8	(	(	PUNCT
ejpam-2058	32	9	2015	2015	NUM
ejpam-2058	32	10	)	)	PUNCT
ejpam-2058	32	11	,	,	PUNCT
ejpam-2058	32	12	201	201	NUM
ejpam-2058	32	13	-	-	SYM
ejpam-2058	32	14	213	213	NUM
ejpam-2058	32	15	203	203	NUM
ejpam-2058	32	16	2	2	NUM
ejpam-2058	32	17	.	.	PUNCT
ejpam-2058	33	1	new	new	ADJ
ejpam-2058	33	2	generalized	generalized	ADJ
ejpam-2058	33	3	difference	difference	NOUN
ejpam-2058	33	4	double	double	ADJ
ejpam-2058	33	5	sequence	sequence	NOUN
ejpam-2058	33	6	spaces	space	NOUN
ejpam-2058	33	7	let	let	VERB
ejpam-2058	33	8	m	m	PRON
ejpam-2058	33	9	be	be	AUX
ejpam-2058	33	10	an	an	DET
ejpam-2058	33	11	orlicz	orlicz	ADJ
ejpam-2058	33	12	function	function	NOUN
ejpam-2058	33	13	,	,	PUNCT
ejpam-2058	33	14	p	p	PROPN
ejpam-2058	33	15	=	=	PROPN
ejpam-2058	33	16	�	�	PROPN
ejpam-2058	33	17	pk	pk	PROPN
ejpam-2058	33	18	,	,	PUNCT
ejpam-2058	33	19	l	l	PROPN
ejpam-2058	33	20	�	�	PROPN
ejpam-2058	33	21	be	be	AUX
ejpam-2058	33	22	a	a	DET
ejpam-2058	33	23	factorable	factorable	ADJ
ejpam-2058	33	24	double	double	ADJ
ejpam-2058	33	25	sequence	sequence	NOUN
ejpam-2058	33	26	of	of	ADP
ejpam-2058	33	27	strictly	strictly	ADV
ejpam-2058	33	28	positive	positive	ADJ
ejpam-2058	33	29	real	real	ADJ
ejpam-2058	33	30	numbers	number	NOUN
ejpam-2058	33	31	and	and	CCONJ
ejpam-2058	33	32	a=	a=	PROPN
ejpam-2058	33	33	�	�	PROPN
ejpam-2058	33	34	am	am	PROPN
ejpam-2058	33	35	,	,	PUNCT
ejpam-2058	33	36	n	n	CCONJ
ejpam-2058	33	37	,	,	PUNCT
ejpam-2058	33	38	k	k	NOUN
ejpam-2058	33	39	,	,	PUNCT
ejpam-2058	33	40	l	l	PROPN
ejpam-2058	33	41	�	�	PROPN
ejpam-2058	33	42	be	be	AUX
ejpam-2058	33	43	a	a	DET
ejpam-2058	33	44	nonnegative	nonnegative	ADJ
ejpam-2058	33	45	rh	rh	NOUN
ejpam-2058	33	46	-	-	PUNCT
ejpam-2058	33	47	regular	regular	ADJ
ejpam-2058	33	48	summability	summability	NOUN
ejpam-2058	33	49	matrix	matrix	NOUN
ejpam-2058	33	50	method	method	NOUN
ejpam-2058	33	51	.	.	PUNCT
ejpam-2058	34	1	we	we	PRON
ejpam-2058	34	2	now	now	ADV
ejpam-2058	34	3	define	define	VERB
ejpam-2058	34	4	the	the	DET
ejpam-2058	34	5	following	follow	VERB
ejpam-2058	34	6	new	new	ADJ
ejpam-2058	34	7	difference	difference	NOUN
ejpam-2058	34	8	double	double	ADJ
ejpam-2058	34	9	sequence	sequence	NOUN
ejpam-2058	34	10	spaces	space	NOUN
ejpam-2058	34	11	(	(	PUNCT
ejpam-2058	34	12	for	for	ADP
ejpam-2058	34	13	some	some	DET
ejpam-2058	34	14	ρ	ρ	NOUN
ejpam-2058	34	15	>	>	X
ejpam-2058	34	16	0	0	PROPN
ejpam-2058	34	17	and	and	CCONJ
ejpam-2058	34	18	l	l	NOUN
ejpam-2058	34	19	):	):	PUNCT
ejpam-2058	34	20	w2	w2	NOUN
ejpam-2058	34	21	o	o	PROPN
ejpam-2058	34	22	�	�	PROPN
ejpam-2058	34	23	a	a	PROPN
ejpam-2058	34	24	,	,	PUNCT
ejpam-2058	34	25	m	m	PROPN
ejpam-2058	34	26	,	,	PUNCT
ejpam-2058	34	27	p	p	PROPN
ejpam-2058	34	28	�	�	PROPN
ejpam-2058	34	29	(	(	PUNCT
ejpam-2058	34	30	∆r	∆r	NOUN
ejpam-2058	34	31	)	)	PUNCT
ejpam-2058	34	32	=	=	SYM
ejpam-2058	34	33	(	(	PUNCT
ejpam-2058	34	34	x	x	SYM
ejpam-2058	34	35	=	=	SYM
ejpam-2058	34	36	�	�	PROPN
ejpam-2058	34	37	xk	xk	PROPN
ejpam-2058	34	38	,	,	PUNCT
ejpam-2058	34	39	l	l	PROPN
ejpam-2058	34	40	�	�	PROPN
ejpam-2058	34	41	:	:	PUNCT
ejpam-2058	34	42	p	p	PROPN
ejpam-2058	34	43	−	−	PROPN
ejpam-2058	34	44	lim	lim	PROPN
ejpam-2058	34	45	m	m	PROPN
ejpam-2058	34	46	,	,	PUNCT
ejpam-2058	34	47	n	n	PROPN
ejpam-2058	34	48	∞,∞	∞,∞	VERB
ejpam-2058	34	49	∑	∑	PROPN
ejpam-2058	34	50	k	k	PROPN
ejpam-2058	34	51	,	,	PUNCT
ejpam-2058	34	52	l=0,0	l=0,0	NOUN
ejpam-2058	34	53	am	be	AUX
ejpam-2058	34	54	,	,	PUNCT
ejpam-2058	34	55	n	n	CCONJ
ejpam-2058	34	56	,	,	PUNCT
ejpam-2058	34	57	k	k	NOUN
ejpam-2058	34	58	,	,	PUNCT
ejpam-2058	34	59	l	l	PROPN
ejpam-2058	34	60	�	�	PROPN
ejpam-2058	34	61	m	m	PROPN
ejpam-2058	34	62	�	�	PROPN
ejpam-2058	34	63	�	�	PROPN
ejpam-2058	34	64	�	�	PROPN
ejpam-2058	34	65	∆r	∆r	NOUN
ejpam-2058	34	66	xk	xk	PROPN
ejpam-2058	34	67	,	,	PUNCT
ejpam-2058	34	68	l	l	PROPN
ejpam-2058	34	69	�	�	PROPN
ejpam-2058	34	70	�	�	PROPN
ejpam-2058	34	71	ρ	ρ	PROPN
ejpam-2058	34	72	�	�	PROPN
ejpam-2058	34	73	�	�	PROPN
ejpam-2058	34	74	pk	pk	NOUN
ejpam-2058	34	75	,	,	PUNCT
ejpam-2058	34	76	l	l	NOUN
ejpam-2058	34	77	=	=	SYM
ejpam-2058	34	78	0	0	NUM
ejpam-2058	34	79	,	,	PUNCT
ejpam-2058	34	80	)	)	PUNCT
ejpam-2058	34	81	,	,	PUNCT
ejpam-2058	34	82	w2	w2	NOUN
ejpam-2058	34	83	�	�	PROPN
ejpam-2058	34	84	a	a	PROPN
ejpam-2058	34	85	,	,	PUNCT
ejpam-2058	34	86	m	m	PROPN
ejpam-2058	34	87	,	,	PUNCT
ejpam-2058	34	88	p	p	PROPN
ejpam-2058	34	89	�	�	PROPN
ejpam-2058	34	90	(	(	PUNCT
ejpam-2058	34	91	∆r	∆r	NOUN
ejpam-2058	34	92	)	)	PUNCT
ejpam-2058	34	93	=	=	SYM
ejpam-2058	34	94	(	(	PUNCT
ejpam-2058	34	95	x	x	SYM
ejpam-2058	34	96	=	=	SYM
ejpam-2058	34	97	�	�	PROPN
ejpam-2058	34	98	xk	xk	PROPN
ejpam-2058	34	99	,	,	PUNCT
ejpam-2058	34	100	l	l	PROPN
ejpam-2058	34	101	�	�	PROPN
ejpam-2058	34	102	:	:	PUNCT
ejpam-2058	34	103	p	p	PROPN
ejpam-2058	34	104	−	−	PROPN
ejpam-2058	34	105	lim	lim	PROPN
ejpam-2058	34	106	m	m	PROPN
ejpam-2058	34	107	,	,	PUNCT
ejpam-2058	34	108	n	n	PROPN
ejpam-2058	34	109	∞,∞	∞,∞	VERB
ejpam-2058	34	110	∑	∑	PROPN
ejpam-2058	34	111	k	k	PROPN
ejpam-2058	34	112	,	,	PUNCT
ejpam-2058	34	113	l=0,0	l=0,0	NOUN
ejpam-2058	34	114	am	be	AUX
ejpam-2058	34	115	,	,	PUNCT
ejpam-2058	34	116	n	n	CCONJ
ejpam-2058	34	117	,	,	PUNCT
ejpam-2058	34	118	k	k	NOUN
ejpam-2058	34	119	,	,	PUNCT
ejpam-2058	34	120	l	l	PROPN
ejpam-2058	34	121	�	�	PROPN
ejpam-2058	34	122	m	m	PROPN
ejpam-2058	34	123	�	�	PROPN
ejpam-2058	34	124	�	�	PROPN
ejpam-2058	34	125	�	�	PROPN
ejpam-2058	34	126	∆r	∆r	NOUN
ejpam-2058	34	127	xk	xk	PROPN
ejpam-2058	34	128	,	,	PUNCT
ejpam-2058	34	129	l	l	NOUN
ejpam-2058	34	130	−	−	PROPN
ejpam-2058	34	131	l	l	X
ejpam-2058	34	132	�	�	PROPN
ejpam-2058	34	133	�	�	PROPN
ejpam-2058	34	134	ρ	ρ	PROPN
ejpam-2058	34	135	�	�	PROPN
ejpam-2058	34	136	�	�	PROPN
ejpam-2058	34	137	pk	pk	NOUN
ejpam-2058	34	138	,	,	PUNCT
ejpam-2058	34	139	l	l	NOUN
ejpam-2058	34	140	=	=	SYM
ejpam-2058	34	141	0	0	NUM
ejpam-2058	34	142	,	,	PUNCT
ejpam-2058	34	143	)	)	PUNCT
ejpam-2058	34	144	,	,	PUNCT
ejpam-2058	34	145	w2	w2	NOUN
ejpam-2058	34	146	∞	∞	PROPN
ejpam-2058	34	147	�	�	PROPN
ejpam-2058	34	148	a	a	PRON
ejpam-2058	34	149	,	,	PUNCT
ejpam-2058	34	150	m	m	PROPN
ejpam-2058	34	151	,	,	PUNCT
ejpam-2058	34	152	p	p	PROPN
ejpam-2058	34	153	�	�	PROPN
ejpam-2058	34	154	(	(	PUNCT
ejpam-2058	34	155	∆r	∆r	NOUN
ejpam-2058	34	156	)	)	PUNCT
ejpam-2058	34	157	=	=	SYM
ejpam-2058	34	158	(	(	PUNCT
ejpam-2058	34	159	x	x	SYM
ejpam-2058	34	160	=	=	SYM
ejpam-2058	34	161	�	�	PROPN
ejpam-2058	34	162	xk	xk	PROPN
ejpam-2058	34	163	,	,	PUNCT
ejpam-2058	34	164	l	l	PROPN
ejpam-2058	34	165	�	�	PROPN
ejpam-2058	34	166	:	:	PUNCT
ejpam-2058	34	167	sup	sup	PROPN
ejpam-2058	34	168	m	m	PROPN
ejpam-2058	34	169	,	,	PUNCT
ejpam-2058	34	170	n	n	PROPN
ejpam-2058	34	171	∞,∞	∞,∞	VERB
ejpam-2058	34	172	∑	∑	PROPN
ejpam-2058	34	173	k	k	PROPN
ejpam-2058	34	174	,	,	PUNCT
ejpam-2058	34	175	l=0,0	l=0,0	NOUN
ejpam-2058	34	176	am	be	AUX
ejpam-2058	34	177	,	,	PUNCT
ejpam-2058	34	178	n	n	CCONJ
ejpam-2058	34	179	,	,	PUNCT
ejpam-2058	34	180	k	k	NOUN
ejpam-2058	34	181	,	,	PUNCT
ejpam-2058	34	182	l	l	PROPN
ejpam-2058	34	183	�	�	PROPN
ejpam-2058	34	184	m	m	PROPN
ejpam-2058	34	185	�	�	PROPN
ejpam-2058	34	186	�	�	PROPN
ejpam-2058	34	187	�	�	PROPN
ejpam-2058	34	188	∆r	∆r	NOUN
ejpam-2058	34	189	xk	xk	PROPN
ejpam-2058	34	190	,	,	PUNCT
ejpam-2058	34	191	l	l	PROPN
ejpam-2058	34	192	�	�	PROPN
ejpam-2058	34	193	�	�	PROPN
ejpam-2058	34	194	ρ	ρ	PROPN
ejpam-2058	34	195	�	�	PROPN
ejpam-2058	34	196	�	�	PROPN
ejpam-2058	34	197	pk	pk	NOUN
ejpam-2058	34	198	,	,	PUNCT
ejpam-2058	34	199	l	l	NOUN
ejpam-2058	34	200	<	<	X
ejpam-2058	34	201	∞	∞	PROPN
ejpam-2058	34	202	,	,	PUNCT
ejpam-2058	34	203	)	)	PUNCT
ejpam-2058	34	204	.	.	PUNCT
ejpam-2058	35	1	when	when	SCONJ
ejpam-2058	35	2	m(x	m(x	X
ejpam-2058	35	3	)	)	PUNCT
ejpam-2058	36	1	=	=	SYM
ejpam-2058	36	2	x	x	NOUN
ejpam-2058	36	3	,	,	PUNCT
ejpam-2058	36	4	we	we	PRON
ejpam-2058	36	5	have	have	VERB
ejpam-2058	36	6	the	the	DET
ejpam-2058	36	7	following	follow	VERB
ejpam-2058	36	8	difference	difference	NOUN
ejpam-2058	36	9	sequence	sequence	NOUN
ejpam-2058	36	10	spaces	space	VERB
ejpam-2058	36	11	:	:	PUNCT
ejpam-2058	36	12	w2	w2	NOUN
ejpam-2058	36	13	o	o	PROPN
ejpam-2058	36	14	�	�	PROPN
ejpam-2058	37	1	a	a	PROPN
ejpam-2058	37	2	,	,	PUNCT
ejpam-2058	37	3	p	p	PROPN
ejpam-2058	37	4	�	�	PROPN
ejpam-2058	37	5	(	(	PUNCT
ejpam-2058	37	6	∆r	∆r	NOUN
ejpam-2058	37	7	)	)	PUNCT
ejpam-2058	37	8	=	=	SYM
ejpam-2058	37	9	(	(	PUNCT
ejpam-2058	37	10	x	x	SYM
ejpam-2058	37	11	=	=	SYM
ejpam-2058	37	12	�	�	PROPN
ejpam-2058	37	13	xk	xk	PROPN
ejpam-2058	37	14	,	,	PUNCT
ejpam-2058	37	15	l	l	PROPN
ejpam-2058	37	16	�	�	PROPN
ejpam-2058	37	17	:	:	PUNCT
ejpam-2058	37	18	p	p	PROPN
ejpam-2058	37	19	−	−	PROPN
ejpam-2058	37	20	lim	lim	PROPN
ejpam-2058	37	21	m	m	PROPN
ejpam-2058	37	22	,	,	PUNCT
ejpam-2058	37	23	n	n	PROPN
ejpam-2058	37	24	∞,∞	∞,∞	VERB
ejpam-2058	37	25	∑	∑	PROPN
ejpam-2058	37	26	k	k	PROPN
ejpam-2058	37	27	,	,	PUNCT
ejpam-2058	37	28	l=0,0	l=0,0	NOUN
ejpam-2058	37	29	am	be	AUX
ejpam-2058	37	30	,	,	PUNCT
ejpam-2058	37	31	n	n	CCONJ
ejpam-2058	37	32	,	,	PUNCT
ejpam-2058	37	33	k	k	NOUN
ejpam-2058	37	34	,	,	PUNCT
ejpam-2058	37	35	l	l	PROPN
ejpam-2058	37	36	�	�	PROPN
ejpam-2058	37	37	�	�	PROPN
ejpam-2058	37	38	∆r	∆r	NOUN
ejpam-2058	37	39	xk	xk	PROPN
ejpam-2058	37	40	,	,	PUNCT
ejpam-2058	37	41	l	l	PROPN
ejpam-2058	37	42	�	�	PROPN
ejpam-2058	37	43	�	�	PROPN
ejpam-2058	37	44	pk	pk	PROPN
ejpam-2058	37	45	,	,	PUNCT
ejpam-2058	37	46	l	l	NOUN
ejpam-2058	37	47	=	=	SYM
ejpam-2058	37	48	0	0	NUM
ejpam-2058	37	49	)	)	PUNCT
ejpam-2058	37	50	,	,	PUNCT
ejpam-2058	37	51	w2	w2	NOUN
ejpam-2058	37	52	�	�	PROPN
ejpam-2058	37	53	a	a	PROPN
ejpam-2058	37	54	,	,	PUNCT
ejpam-2058	37	55	p	p	PROPN
ejpam-2058	37	56	�	�	PROPN
ejpam-2058	37	57	(	(	PUNCT
ejpam-2058	37	58	∆r	∆r	NOUN
ejpam-2058	37	59	)	)	PUNCT
ejpam-2058	37	60	=	=	SYM
ejpam-2058	37	61	(	(	PUNCT
ejpam-2058	37	62	x	x	SYM
ejpam-2058	37	63	=	=	SYM
ejpam-2058	37	64	�	�	PROPN
ejpam-2058	37	65	xk	xk	PROPN
ejpam-2058	37	66	,	,	PUNCT
ejpam-2058	37	67	l	l	PROPN
ejpam-2058	37	68	�	�	PROPN
ejpam-2058	37	69	:	:	PUNCT
ejpam-2058	37	70	p	p	PROPN
ejpam-2058	37	71	−	−	PROPN
ejpam-2058	37	72	lim	lim	PROPN
ejpam-2058	37	73	m	m	PROPN
ejpam-2058	37	74	,	,	PUNCT
ejpam-2058	37	75	n	n	PROPN
ejpam-2058	37	76	∞,∞	∞,∞	VERB
ejpam-2058	37	77	∑	∑	PROPN
ejpam-2058	37	78	k	k	PROPN
ejpam-2058	37	79	,	,	PUNCT
ejpam-2058	37	80	l=0,0	l=0,0	NOUN
ejpam-2058	37	81	am	be	AUX
ejpam-2058	37	82	,	,	PUNCT
ejpam-2058	37	83	n	n	CCONJ
ejpam-2058	37	84	,	,	PUNCT
ejpam-2058	37	85	k	k	NOUN
ejpam-2058	37	86	,	,	PUNCT
ejpam-2058	37	87	l	l	PROPN
ejpam-2058	37	88	�	�	PROPN
ejpam-2058	37	89	�	�	PROPN
ejpam-2058	37	90	∆r	∆r	NOUN
ejpam-2058	37	91	xk	xk	PROPN
ejpam-2058	37	92	,	,	PUNCT
ejpam-2058	37	93	l	l	NOUN
ejpam-2058	37	94	−	−	PROPN
ejpam-2058	37	95	l	l	X
ejpam-2058	37	96	�	�	PROPN
ejpam-2058	37	97	�	�	PROPN
ejpam-2058	37	98	pk	pk	PROPN
ejpam-2058	37	99	,	,	PUNCT
ejpam-2058	37	100	l	l	NOUN
ejpam-2058	37	101	=	=	SYM
ejpam-2058	37	102	0	0	NUM
ejpam-2058	37	103	,	,	PUNCT
ejpam-2058	37	104	for	for	ADP
ejpam-2058	37	105	some	some	DET
ejpam-2058	37	106	l	l	NOUN
ejpam-2058	37	107	)	)	PUNCT
ejpam-2058	37	108	,	,	PUNCT
ejpam-2058	37	109	w2	w2	NOUN
ejpam-2058	37	110	∞	∞	PROPN
ejpam-2058	37	111	�	�	PROPN
ejpam-2058	38	1	a	a	PRON
ejpam-2058	38	2	,	,	PUNCT
ejpam-2058	38	3	p	p	PROPN
ejpam-2058	38	4	�	�	PROPN
ejpam-2058	38	5	(	(	PUNCT
ejpam-2058	38	6	∆r	∆r	NOUN
ejpam-2058	38	7	)	)	PUNCT
ejpam-2058	38	8	=	=	SYM
ejpam-2058	38	9	(	(	PUNCT
ejpam-2058	38	10	x	x	SYM
ejpam-2058	38	11	=	=	SYM
ejpam-2058	38	12	�	�	PROPN
ejpam-2058	38	13	xk	xk	PROPN
ejpam-2058	38	14	,	,	PUNCT
ejpam-2058	38	15	l	l	PROPN
ejpam-2058	38	16	�	�	PROPN
ejpam-2058	38	17	:	:	PUNCT
ejpam-2058	38	18	sup	sup	PROPN
ejpam-2058	38	19	m	m	PROPN
ejpam-2058	38	20	,	,	PUNCT
ejpam-2058	38	21	n	n	PROPN
ejpam-2058	38	22	∞,∞	∞,∞	VERB
ejpam-2058	38	23	∑	∑	PROPN
ejpam-2058	38	24	k	k	PROPN
ejpam-2058	38	25	,	,	PUNCT
ejpam-2058	38	26	l=0,0	l=0,0	NOUN
ejpam-2058	38	27	am	be	AUX
ejpam-2058	38	28	,	,	PUNCT
ejpam-2058	38	29	n	n	CCONJ
ejpam-2058	38	30	,	,	PUNCT
ejpam-2058	38	31	k	k	NOUN
ejpam-2058	38	32	,	,	PUNCT
ejpam-2058	38	33	l	l	PROPN
ejpam-2058	38	34	�	�	PROPN
ejpam-2058	38	35	�	�	PROPN
ejpam-2058	38	36	∆r	∆r	NOUN
ejpam-2058	38	37	xk	xk	PROPN
ejpam-2058	38	38	,	,	PUNCT
ejpam-2058	38	39	l	l	PROPN
ejpam-2058	38	40	�	�	PROPN
ejpam-2058	38	41	�	�	PROPN
ejpam-2058	38	42	pk	pk	PROPN
ejpam-2058	38	43	,	,	PUNCT
ejpam-2058	38	44	l	l	NOUN
ejpam-2058	38	45	<	<	X
ejpam-2058	38	46	∞	∞	NUM
ejpam-2058	38	47	)	)	PUNCT
ejpam-2058	38	48	.	.	PUNCT
ejpam-2058	39	1	some	some	DET
ejpam-2058	39	2	spaces	space	NOUN
ejpam-2058	39	3	are	be	AUX
ejpam-2058	39	4	defined	define	VERB
ejpam-2058	39	5	by	by	ADP
ejpam-2058	39	6	specializing	specialize	VERB
ejpam-2058	39	7	a	a	DET
ejpam-2058	39	8	,	,	PUNCT
ejpam-2058	39	9	m	m	PRON
ejpam-2058	39	10	,	,	PUNCT
ejpam-2058	39	11	r	r	NOUN
ejpam-2058	39	12	and	and	CCONJ
ejpam-2058	39	13	p	p	NOUN
ejpam-2058	39	14	=	=	PROPN
ejpam-2058	39	15	�	�	PROPN
ejpam-2058	39	16	pk	pk	PROPN
ejpam-2058	39	17	,	,	PUNCT
ejpam-2058	39	18	l	l	PROPN
ejpam-2058	39	19	�	�	PROPN
ejpam-2058	39	20	.	.	PUNCT
ejpam-2058	40	1	for	for	ADP
ejpam-2058	40	2	example	example	NOUN
ejpam-2058	40	3	,	,	PUNCT
ejpam-2058	40	4	if	if	SCONJ
ejpam-2058	40	5	a=	a=	ADJ
ejpam-2058	40	6	(	(	PUNCT
ejpam-2058	40	7	c	c	NOUN
ejpam-2058	40	8	,	,	PUNCT
ejpam-2058	40	9	1	1	NUM
ejpam-2058	40	10	,	,	PUNCT
ejpam-2058	40	11	1	1	NUM
ejpam-2058	40	12	)	)	PUNCT
ejpam-2058	40	13	the	the	DET
ejpam-2058	40	14	difference	difference	NOUN
ejpam-2058	40	15	sequence	sequence	NOUN
ejpam-2058	40	16	spaces	space	NOUN
ejpam-2058	40	17	defined	define	VERB
ejpam-2058	40	18	above	above	ADP
ejpam-2058	40	19	become	become	VERB
ejpam-2058	40	20	w2	w2	NOUN
ejpam-2058	40	21	o	o	PROPN
ejpam-2058	40	22	�	�	PROPN
ejpam-2058	40	23	m	m	PROPN
ejpam-2058	40	24	,	,	PUNCT
ejpam-2058	40	25	p	p	PROPN
ejpam-2058	40	26	�	�	PROPN
ejpam-2058	40	27	(	(	PUNCT
ejpam-2058	40	28	∆r	∆r	NOUN
ejpam-2058	40	29	)	)	PUNCT
ejpam-2058	40	30	,	,	PUNCT
ejpam-2058	40	31	w2	w2	NOUN
ejpam-2058	40	32	�	�	PROPN
ejpam-2058	40	33	m	m	PROPN
ejpam-2058	40	34	,	,	PUNCT
ejpam-2058	40	35	p	p	PROPN
ejpam-2058	40	36	�	�	PROPN
ejpam-2058	40	37	(	(	PUNCT
ejpam-2058	40	38	∆r	∆r	NOUN
ejpam-2058	40	39	)	)	PUNCT
ejpam-2058	40	40	and	and	CCONJ
ejpam-2058	40	41	w2	w2	PROPN
ejpam-2058	40	42	∞	∞	PROPN
ejpam-2058	40	43	�	�	PROPN
ejpam-2058	41	1	m	m	PROPN
ejpam-2058	41	2	,	,	PUNCT
ejpam-2058	41	3	p	p	PROPN
ejpam-2058	41	4	�	�	PROPN
ejpam-2058	41	5	(	(	PUNCT
ejpam-2058	41	6	∆r	∆r	NOUN
ejpam-2058	41	7	)	)	PUNCT
ejpam-2058	41	8	which	which	PRON
ejpam-2058	41	9	are	be	AUX
ejpam-2058	41	10	as	as	SCONJ
ejpam-2058	41	11	follows	follow	VERB
ejpam-2058	41	12	(	(	PUNCT
ejpam-2058	41	13	for	for	ADP
ejpam-2058	41	14	some	some	DET
ejpam-2058	41	15	ρ	ρ	NOUN
ejpam-2058	41	16	>	>	X
ejpam-2058	41	17	0	0	PROPN
ejpam-2058	41	18	and	and	CCONJ
ejpam-2058	41	19	l	l	NOUN
ejpam-2058	41	20	):	):	PUNCT
ejpam-2058	41	21	w2	w2	NOUN
ejpam-2058	41	22	o	o	PROPN
ejpam-2058	41	23	�	�	PROPN
ejpam-2058	41	24	m	m	PROPN
ejpam-2058	41	25	,	,	PUNCT
ejpam-2058	41	26	p	p	PROPN
ejpam-2058	41	27	�	�	PROPN
ejpam-2058	41	28	(	(	PUNCT
ejpam-2058	41	29	∆r	∆r	NOUN
ejpam-2058	41	30	)	)	PUNCT
ejpam-2058	41	31	=	=	SYM
ejpam-2058	41	32	(	(	PUNCT
ejpam-2058	41	33	x	x	SYM
ejpam-2058	41	34	=	=	SYM
ejpam-2058	41	35	�	�	PROPN
ejpam-2058	41	36	xk	xk	PROPN
ejpam-2058	41	37	,	,	PUNCT
ejpam-2058	41	38	l	l	PROPN
ejpam-2058	41	39	�	�	PROPN
ejpam-2058	41	40	∈	∈	PROPN
ejpam-2058	41	41	w2	w2	NOUN
ejpam-2058	41	42	:	:	PUNCT
ejpam-2058	41	43	p	p	PROPN
ejpam-2058	41	44	−	−	PROPN
ejpam-2058	41	45	lim	lim	PROPN
ejpam-2058	41	46	m	m	PROPN
ejpam-2058	41	47	,	,	PUNCT
ejpam-2058	41	48	n	n	PROPN
ejpam-2058	41	49	1	1	NUM
ejpam-2058	41	50	mn	mn	NOUN
ejpam-2058	41	51	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	41	52	∑	∑	PROPN
ejpam-2058	41	53	k	k	PROPN
ejpam-2058	41	54	,	,	PUNCT
ejpam-2058	41	55	l=0,0	l=0,0	NOUN
ejpam-2058	41	56	�	�	PROPN
ejpam-2058	41	57	m	m	PROPN
ejpam-2058	41	58	�	�	PROPN
ejpam-2058	41	59	�	�	PROPN
ejpam-2058	41	60	�	�	PROPN
ejpam-2058	41	61	∆r	∆r	NOUN
ejpam-2058	41	62	xk	xk	PROPN
ejpam-2058	41	63	,	,	PUNCT
ejpam-2058	41	64	l	l	PROPN
ejpam-2058	41	65	�	�	PROPN
ejpam-2058	41	66	�	�	PROPN
ejpam-2058	41	67	ρ	ρ	PROPN
ejpam-2058	41	68	�	�	PROPN
ejpam-2058	41	69	�	�	PROPN
ejpam-2058	41	70	pk	pk	NOUN
ejpam-2058	41	71	,	,	PUNCT
ejpam-2058	41	72	l	l	NOUN
ejpam-2058	41	73	=	=	SYM
ejpam-2058	41	74	0	0	NUM
ejpam-2058	41	75	,	,	PUNCT
ejpam-2058	41	76	)	)	PUNCT
ejpam-2058	41	77	,	,	PUNCT
ejpam-2058	41	78	w2	w2	NOUN
ejpam-2058	41	79	�	�	PROPN
ejpam-2058	41	80	m	m	PROPN
ejpam-2058	41	81	,	,	PUNCT
ejpam-2058	41	82	p	p	PROPN
ejpam-2058	41	83	�	�	PROPN
ejpam-2058	41	84	(	(	PUNCT
ejpam-2058	41	85	∆r	∆r	NOUN
ejpam-2058	41	86	)	)	PUNCT
ejpam-2058	41	87	=	=	SYM
ejpam-2058	41	88	(	(	PUNCT
ejpam-2058	41	89	x	x	SYM
ejpam-2058	41	90	=	=	SYM
ejpam-2058	41	91	�	�	PROPN
ejpam-2058	41	92	xk	xk	PROPN
ejpam-2058	41	93	,	,	PUNCT
ejpam-2058	41	94	l	l	PROPN
ejpam-2058	41	95	�	�	PROPN
ejpam-2058	41	96	:	:	PUNCT
ejpam-2058	41	97	p	p	PROPN
ejpam-2058	41	98	−	−	PROPN
ejpam-2058	41	99	lim	lim	PROPN
ejpam-2058	41	100	m	m	PROPN
ejpam-2058	41	101	,	,	PUNCT
ejpam-2058	41	102	n	n	PROPN
ejpam-2058	41	103	1	1	NUM
ejpam-2058	41	104	mn	mn	NOUN
ejpam-2058	41	105	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	41	106	∑	∑	PROPN
ejpam-2058	41	107	k	k	PROPN
ejpam-2058	41	108	,	,	PUNCT
ejpam-2058	41	109	l=0,0	l=0,0	NOUN
ejpam-2058	41	110	�	�	PROPN
ejpam-2058	41	111	m	m	PROPN
ejpam-2058	41	112	�	�	PROPN
ejpam-2058	41	113	�	�	PROPN
ejpam-2058	41	114	�	�	PROPN
ejpam-2058	41	115	∆r	∆r	NOUN
ejpam-2058	41	116	xk	xk	PROPN
ejpam-2058	41	117	,	,	PUNCT
ejpam-2058	41	118	l	l	NOUN
ejpam-2058	41	119	−	−	PROPN
ejpam-2058	41	120	l	l	X
ejpam-2058	41	121	�	�	PROPN
ejpam-2058	41	122	�	�	PROPN
ejpam-2058	41	123	ρ	ρ	PROPN
ejpam-2058	41	124	�	�	PROPN
ejpam-2058	41	125	�	�	PROPN
ejpam-2058	41	126	pk	pk	NOUN
ejpam-2058	41	127	,	,	PUNCT
ejpam-2058	41	128	l	l	NOUN
ejpam-2058	41	129	=	=	SYM
ejpam-2058	41	130	0	0	NUM
ejpam-2058	41	131	,	,	PUNCT
ejpam-2058	41	132	)	)	PUNCT
ejpam-2058	41	133	,	,	PUNCT
ejpam-2058	41	134	w2	w2	NOUN
ejpam-2058	41	135	∞	∞	PROPN
ejpam-2058	41	136	�	�	PROPN
ejpam-2058	41	137	m	m	PROPN
ejpam-2058	41	138	,	,	PUNCT
ejpam-2058	41	139	p	p	PROPN
ejpam-2058	41	140	�	�	PROPN
ejpam-2058	41	141	(	(	PUNCT
ejpam-2058	41	142	∆r	∆r	NOUN
ejpam-2058	41	143	)	)	PUNCT
ejpam-2058	41	144	=	=	SYM
ejpam-2058	41	145	(	(	PUNCT
ejpam-2058	41	146	x	x	SYM
ejpam-2058	41	147	=	=	SYM
ejpam-2058	41	148	�	�	PROPN
ejpam-2058	41	149	xk	xk	PROPN
ejpam-2058	41	150	,	,	PUNCT
ejpam-2058	41	151	l	l	PROPN
ejpam-2058	41	152	�	�	PROPN
ejpam-2058	41	153	:	:	PUNCT
ejpam-2058	41	154	sup	sup	PROPN
ejpam-2058	41	155	m	m	PROPN
ejpam-2058	41	156	,	,	PUNCT
ejpam-2058	41	157	n	n	PROPN
ejpam-2058	41	158	1	1	NUM
ejpam-2058	41	159	mn	mn	NOUN
ejpam-2058	41	160	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	41	161	∑	∑	PROPN
ejpam-2058	41	162	k	k	PROPN
ejpam-2058	41	163	,	,	PUNCT
ejpam-2058	41	164	l=0,0	l=0,0	NOUN
ejpam-2058	41	165	�	�	PROPN
ejpam-2058	41	166	m	m	PROPN
ejpam-2058	41	167	�	�	PROPN
ejpam-2058	41	168	�	�	PROPN
ejpam-2058	41	169	�	�	PROPN
ejpam-2058	41	170	∆r	∆r	NOUN
ejpam-2058	41	171	xk	xk	PROPN
ejpam-2058	41	172	,	,	PUNCT
ejpam-2058	41	173	l	l	PROPN
ejpam-2058	41	174	�	�	PROPN
ejpam-2058	41	175	�	�	PROPN
ejpam-2058	41	176	ρ	ρ	PROPN
ejpam-2058	41	177	�	�	PROPN
ejpam-2058	41	178	�	�	PROPN
ejpam-2058	41	179	pk	pk	NOUN
ejpam-2058	41	180	,	,	PUNCT
ejpam-2058	41	181	l	l	NOUN
ejpam-2058	41	182	<	<	X
ejpam-2058	41	183	∞	∞	PROPN
ejpam-2058	41	184	,	,	PUNCT
ejpam-2058	41	185	)	)	PUNCT
ejpam-2058	41	186	.	.	PUNCT
ejpam-2058	42	1	let	let	VERB
ejpam-2058	42	2	a=	a=	VERB
ejpam-2058	42	3	(	(	PUNCT
ejpam-2058	42	4	c	c	NOUN
ejpam-2058	42	5	,	,	PUNCT
ejpam-2058	42	6	1	1	NUM
ejpam-2058	42	7	,	,	PUNCT
ejpam-2058	42	8	1	1	NUM
ejpam-2058	42	9	)	)	PUNCT
ejpam-2058	42	10	,	,	PUNCT
ejpam-2058	42	11	pk	pk	NOUN
ejpam-2058	42	12	,	,	PUNCT
ejpam-2058	42	13	l	l	NOUN
ejpam-2058	42	14	=	=	SYM
ejpam-2058	42	15	1	1	NUM
ejpam-2058	42	16	,	,	PUNCT
ejpam-2058	42	17	for	for	ADP
ejpam-2058	42	18	all	all	DET
ejpam-2058	42	19	k	k	NOUN
ejpam-2058	42	20	,	,	PUNCT
ejpam-2058	42	21	l	l	PROPN
ejpam-2058	42	22	∈	∈	PROPN
ejpam-2058	42	23	n	n	NOUN
ejpam-2058	42	24	and	and	CCONJ
ejpam-2058	42	25	m(x	m(x	NOUN
ejpam-2058	42	26	)	)	PUNCT
ejpam-2058	43	1	=	=	SYM
ejpam-2058	43	2	x	x	X
ejpam-2058	43	3	,	,	PUNCT
ejpam-2058	43	4	we	we	PRON
ejpam-2058	43	5	obtain	obtain	VERB
ejpam-2058	43	6	the	the	DET
ejpam-2058	43	7	following	follow	VERB
ejpam-2058	43	8	difference	difference	NOUN
ejpam-2058	43	9	sequence	sequence	NOUN
ejpam-2058	43	10	spaces	space	VERB
ejpam-2058	43	11	:	:	PUNCT
ejpam-2058	43	12	w2	w2	NOUN
ejpam-2058	43	13	o(∆	o(∆	PROPN
ejpam-2058	43	14	r	r	NOUN
ejpam-2058	43	15	)	)	PUNCT
ejpam-2058	43	16	=	=	SYM
ejpam-2058	44	1	(	(	PUNCT
ejpam-2058	44	2	x	x	SYM
ejpam-2058	44	3	=	=	SYM
ejpam-2058	44	4	�	�	PROPN
ejpam-2058	44	5	xk	xk	PROPN
ejpam-2058	44	6	,	,	PUNCT
ejpam-2058	44	7	l	l	PROPN
ejpam-2058	44	8	�	�	PROPN
ejpam-2058	44	9	:	:	PUNCT
ejpam-2058	44	10	p	p	PROPN
ejpam-2058	44	11	−	−	PROPN
ejpam-2058	44	12	lim	lim	PROPN
ejpam-2058	44	13	m	m	PROPN
ejpam-2058	44	14	,	,	PUNCT
ejpam-2058	44	15	n	n	PROPN
ejpam-2058	44	16	1	1	NUM
ejpam-2058	44	17	mn	mn	NOUN
ejpam-2058	44	18	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	44	19	∑	∑	PROPN
ejpam-2058	44	20	k	k	PROPN
ejpam-2058	44	21	,	,	PUNCT
ejpam-2058	44	22	l=0,0	l=0,0	NOUN
ejpam-2058	44	23	�	�	PROPN
ejpam-2058	44	24	�	�	PROPN
ejpam-2058	44	25	∆r	∆r	NOUN
ejpam-2058	44	26	xk	xk	PROPN
ejpam-2058	44	27	,	,	PUNCT
ejpam-2058	44	28	l	l	PROPN
ejpam-2058	44	29	�	�	PROPN
ejpam-2058	44	30	�	�	PROPN
ejpam-2058	44	31	=	=	NOUN
ejpam-2058	44	32	0	0	NUM
ejpam-2058	44	33	)	)	PUNCT
ejpam-2058	44	34	,	,	PUNCT
ejpam-2058	44	35	b.	b.	PROPN
ejpam-2058	44	36	hazarika	hazarika	PROPN
ejpam-2058	44	37	,	,	PUNCT
ejpam-2058	44	38	a.	a.	PROPN
ejpam-2058	44	39	esi	esi	PROPN
ejpam-2058	44	40	/	/	SYM
ejpam-2058	44	41	eur	eur	PROPN
ejpam-2058	44	42	.	.	PUNCT
ejpam-2058	45	1	j.	j.	PROPN
ejpam-2058	45	2	pure	pure	PROPN
ejpam-2058	45	3	appl	appl	PROPN
ejpam-2058	45	4	.	.	PROPN
ejpam-2058	45	5	math	math	PROPN
ejpam-2058	45	6	,	,	PUNCT
ejpam-2058	45	7	8	8	NUM
ejpam-2058	45	8	(	(	PUNCT
ejpam-2058	45	9	2015	2015	NUM
ejpam-2058	45	10	)	)	PUNCT
ejpam-2058	45	11	,	,	PUNCT
ejpam-2058	45	12	201	201	NUM
ejpam-2058	45	13	-	-	SYM
ejpam-2058	45	14	213	213	NUM
ejpam-2058	45	15	204	204	NUM
ejpam-2058	45	16	w2(∆r	w2(∆r	NOUN
ejpam-2058	45	17	)	)	PUNCT
ejpam-2058	45	18	=	=	PUNCT
ejpam-2058	46	1	(	(	PUNCT
ejpam-2058	46	2	x	x	SYM
ejpam-2058	46	3	=	=	SYM
ejpam-2058	46	4	�	�	PROPN
ejpam-2058	46	5	xk	xk	PROPN
ejpam-2058	46	6	,	,	PUNCT
ejpam-2058	46	7	l	l	PROPN
ejpam-2058	46	8	�	�	PROPN
ejpam-2058	46	9	:	:	PUNCT
ejpam-2058	46	10	p	p	PROPN
ejpam-2058	46	11	−	−	PROPN
ejpam-2058	46	12	lim	lim	PROPN
ejpam-2058	46	13	m	m	PROPN
ejpam-2058	46	14	,	,	PUNCT
ejpam-2058	46	15	n	n	PROPN
ejpam-2058	46	16	1	1	NUM
ejpam-2058	46	17	mn	mn	NOUN
ejpam-2058	46	18	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	46	19	∑	∑	PROPN
ejpam-2058	46	20	k	k	PROPN
ejpam-2058	46	21	,	,	PUNCT
ejpam-2058	46	22	l=0,0	l=0,0	NOUN
ejpam-2058	46	23	�	�	PROPN
ejpam-2058	46	24	�	�	PROPN
ejpam-2058	46	25	∆r	∆r	NOUN
ejpam-2058	46	26	xk	xk	PROPN
ejpam-2058	46	27	,	,	PUNCT
ejpam-2058	46	28	l	l	NOUN
ejpam-2058	46	29	−	−	PROPN
ejpam-2058	46	30	l	l	X
ejpam-2058	46	31	�	�	PROPN
ejpam-2058	46	32	�	�	PROPN
ejpam-2058	46	33	=	=	SYM
ejpam-2058	46	34	0	0	NUM
ejpam-2058	46	35	,	,	PUNCT
ejpam-2058	46	36	for	for	ADP
ejpam-2058	46	37	some	some	DET
ejpam-2058	46	38	l	l	NOUN
ejpam-2058	46	39	)	)	PUNCT
ejpam-2058	46	40	,	,	PUNCT
ejpam-2058	46	41	w2	w2	NOUN
ejpam-2058	46	42	∞(∆	∞(∆	NOUN
ejpam-2058	46	43	r	r	NOUN
ejpam-2058	46	44	)	)	PUNCT
ejpam-2058	46	45	=	=	SYM
ejpam-2058	46	46	(	(	PUNCT
ejpam-2058	46	47	x	x	SYM
ejpam-2058	46	48	=	=	SYM
ejpam-2058	46	49	�	�	PROPN
ejpam-2058	46	50	xk	xk	PROPN
ejpam-2058	46	51	,	,	PUNCT
ejpam-2058	46	52	l	l	PROPN
ejpam-2058	46	53	�	�	PROPN
ejpam-2058	46	54	:	:	PUNCT
ejpam-2058	46	55	sup	sup	PROPN
ejpam-2058	46	56	m	m	PROPN
ejpam-2058	46	57	,	,	PUNCT
ejpam-2058	46	58	n	n	PROPN
ejpam-2058	46	59	1	1	NUM
ejpam-2058	46	60	mn	mn	NOUN
ejpam-2058	46	61	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	46	62	∑	∑	PROPN
ejpam-2058	46	63	k	k	PROPN
ejpam-2058	46	64	,	,	PUNCT
ejpam-2058	46	65	l=0,0	l=0,0	NOUN
ejpam-2058	46	66	�	�	PROPN
ejpam-2058	46	67	�	�	PROPN
ejpam-2058	46	68	∆r	∆r	NOUN
ejpam-2058	46	69	xk	xk	PROPN
ejpam-2058	46	70	,	,	PUNCT
ejpam-2058	46	71	l	l	PROPN
ejpam-2058	46	72	�	�	PROPN
ejpam-2058	46	73	�	�	PROPN
ejpam-2058	46	74	<	<	NOUN
ejpam-2058	46	75	∞	∞	NUM
ejpam-2058	46	76	)	)	PUNCT
ejpam-2058	46	77	.	.	PUNCT
ejpam-2058	47	1	if	if	SCONJ
ejpam-2058	47	2	r	r	NOUN
ejpam-2058	47	3	=	=	SYM
ejpam-2058	47	4	1	1	NUM
ejpam-2058	47	5	the	the	DET
ejpam-2058	47	6	we	we	PRON
ejpam-2058	47	7	obtain	obtain	VERB
ejpam-2058	47	8	the	the	DET
ejpam-2058	47	9	following	follow	VERB
ejpam-2058	47	10	difference	difference	NOUN
ejpam-2058	47	11	sequence	sequence	NOUN
ejpam-2058	47	12	spaces	space	NOUN
ejpam-2058	47	13	(	(	PUNCT
ejpam-2058	47	14	for	for	ADP
ejpam-2058	47	15	some	some	DET
ejpam-2058	47	16	ρ	ρ	NOUN
ejpam-2058	47	17	>	>	X
ejpam-2058	47	18	0	0	PROPN
ejpam-2058	47	19	and	and	CCONJ
ejpam-2058	47	20	l	l	NOUN
ejpam-2058	47	21	):	):	PUNCT
ejpam-2058	47	22	w2	w2	NOUN
ejpam-2058	47	23	o	o	PROPN
ejpam-2058	47	24	�	�	PROPN
ejpam-2058	47	25	a	a	PROPN
ejpam-2058	47	26	,	,	PUNCT
ejpam-2058	47	27	m	m	PROPN
ejpam-2058	47	28	,	,	PUNCT
ejpam-2058	47	29	p	p	PROPN
ejpam-2058	47	30	�	�	PROPN
ejpam-2058	47	31	(	(	PUNCT
ejpam-2058	47	32	∆	∆	PROPN
ejpam-2058	47	33	)	)	PUNCT
ejpam-2058	48	1	=	=	PRON
ejpam-2058	48	2	(	(	PUNCT
ejpam-2058	48	3	x	x	SYM
ejpam-2058	48	4	=	=	SYM
ejpam-2058	48	5	�	�	PROPN
ejpam-2058	48	6	xk	xk	PROPN
ejpam-2058	48	7	,	,	PUNCT
ejpam-2058	48	8	l	l	PROPN
ejpam-2058	48	9	�	�	PROPN
ejpam-2058	48	10	:	:	PUNCT
ejpam-2058	48	11	p	p	PROPN
ejpam-2058	48	12	−	−	PROPN
ejpam-2058	48	13	lim	lim	PROPN
ejpam-2058	48	14	m	m	PROPN
ejpam-2058	48	15	,	,	PUNCT
ejpam-2058	48	16	n	n	PROPN
ejpam-2058	48	17	∞,∞	∞,∞	VERB
ejpam-2058	48	18	∑	∑	PROPN
ejpam-2058	48	19	k	k	PROPN
ejpam-2058	48	20	,	,	PUNCT
ejpam-2058	48	21	l=0,0	l=0,0	NOUN
ejpam-2058	48	22	am	be	AUX
ejpam-2058	48	23	,	,	PUNCT
ejpam-2058	48	24	n	n	CCONJ
ejpam-2058	48	25	,	,	PUNCT
ejpam-2058	48	26	k	k	NOUN
ejpam-2058	48	27	,	,	PUNCT
ejpam-2058	48	28	l	l	PROPN
ejpam-2058	48	29	�	�	PROPN
ejpam-2058	48	30	m	m	PROPN
ejpam-2058	48	31	�	�	PROPN
ejpam-2058	48	32	�	�	PROPN
ejpam-2058	48	33	�	�	PROPN
ejpam-2058	48	34	∆xk	∆xk	NOUN
ejpam-2058	48	35	,	,	PUNCT
ejpam-2058	48	36	l	l	PROPN
ejpam-2058	48	37	�	�	PROPN
ejpam-2058	48	38	�	�	PROPN
ejpam-2058	48	39	ρ	ρ	PROPN
ejpam-2058	48	40	�	�	PROPN
ejpam-2058	48	41	�	�	PROPN
ejpam-2058	48	42	pk	pk	NOUN
ejpam-2058	48	43	,	,	PUNCT
ejpam-2058	48	44	l	l	NOUN
ejpam-2058	48	45	=	=	SYM
ejpam-2058	48	46	0	0	NUM
ejpam-2058	48	47	,	,	PUNCT
ejpam-2058	48	48	)	)	PUNCT
ejpam-2058	48	49	,	,	PUNCT
ejpam-2058	48	50	w2	w2	NOUN
ejpam-2058	48	51	�	�	PROPN
ejpam-2058	48	52	a	a	PROPN
ejpam-2058	48	53	,	,	PUNCT
ejpam-2058	48	54	m	m	PROPN
ejpam-2058	48	55	,	,	PUNCT
ejpam-2058	48	56	p	p	PROPN
ejpam-2058	48	57	�	�	PROPN
ejpam-2058	48	58	(	(	PUNCT
ejpam-2058	48	59	∆	∆	PROPN
ejpam-2058	48	60	)	)	PUNCT
ejpam-2058	48	61	=	=	PRON
ejpam-2058	49	1	(	(	PUNCT
ejpam-2058	49	2	x	x	SYM
ejpam-2058	49	3	=	=	SYM
ejpam-2058	49	4	�	�	PROPN
ejpam-2058	49	5	xk	xk	PROPN
ejpam-2058	49	6	,	,	PUNCT
ejpam-2058	49	7	l	l	PROPN
ejpam-2058	49	8	�	�	PROPN
ejpam-2058	49	9	:	:	PUNCT
ejpam-2058	49	10	p	p	PROPN
ejpam-2058	49	11	−	−	PROPN
ejpam-2058	49	12	lim	lim	PROPN
ejpam-2058	49	13	m	m	PROPN
ejpam-2058	49	14	,	,	PUNCT
ejpam-2058	49	15	n	n	PROPN
ejpam-2058	49	16	∞,∞	∞,∞	VERB
ejpam-2058	49	17	∑	∑	PROPN
ejpam-2058	49	18	k	k	PROPN
ejpam-2058	49	19	,	,	PUNCT
ejpam-2058	49	20	l=0,0	l=0,0	NOUN
ejpam-2058	49	21	am	be	AUX
ejpam-2058	49	22	,	,	PUNCT
ejpam-2058	49	23	n	n	CCONJ
ejpam-2058	49	24	,	,	PUNCT
ejpam-2058	49	25	k	k	NOUN
ejpam-2058	49	26	,	,	PUNCT
ejpam-2058	49	27	l	l	PROPN
ejpam-2058	49	28	�	�	PROPN
ejpam-2058	49	29	m	m	PROPN
ejpam-2058	49	30	�	�	PROPN
ejpam-2058	49	31	�	�	PROPN
ejpam-2058	49	32	�	�	PROPN
ejpam-2058	49	33	∆xk	∆xk	NOUN
ejpam-2058	49	34	,	,	PUNCT
ejpam-2058	49	35	l	l	NOUN
ejpam-2058	49	36	−	−	PROPN
ejpam-2058	49	37	l	l	X
ejpam-2058	49	38	�	�	PROPN
ejpam-2058	49	39	�	�	PROPN
ejpam-2058	49	40	ρ	ρ	PROPN
ejpam-2058	49	41	�	�	PROPN
ejpam-2058	49	42	�	�	PROPN
ejpam-2058	49	43	pk	pk	NOUN
ejpam-2058	49	44	,	,	PUNCT
ejpam-2058	49	45	l	l	NOUN
ejpam-2058	49	46	=	=	SYM
ejpam-2058	49	47	0	0	NUM
ejpam-2058	49	48	,	,	PUNCT
ejpam-2058	49	49	)	)	PUNCT
ejpam-2058	49	50	,	,	PUNCT
ejpam-2058	49	51	w2	w2	NOUN
ejpam-2058	49	52	∞	∞	PROPN
ejpam-2058	49	53	�	�	PROPN
ejpam-2058	49	54	a	a	PRON
ejpam-2058	49	55	,	,	PUNCT
ejpam-2058	49	56	m	m	PROPN
ejpam-2058	49	57	,	,	PUNCT
ejpam-2058	49	58	p	p	PROPN
ejpam-2058	49	59	�	�	PROPN
ejpam-2058	49	60	(	(	PUNCT
ejpam-2058	49	61	∆	∆	PROPN
ejpam-2058	49	62	)	)	PUNCT
ejpam-2058	50	1	=	=	PRON
ejpam-2058	50	2	(	(	PUNCT
ejpam-2058	50	3	x	x	SYM
ejpam-2058	50	4	=	=	SYM
ejpam-2058	50	5	�	�	PROPN
ejpam-2058	50	6	xk	xk	PROPN
ejpam-2058	50	7	,	,	PUNCT
ejpam-2058	50	8	l	l	PROPN
ejpam-2058	50	9	�	�	PROPN
ejpam-2058	50	10	:	:	PUNCT
ejpam-2058	50	11	sup	sup	PROPN
ejpam-2058	50	12	m	m	PROPN
ejpam-2058	50	13	,	,	PUNCT
ejpam-2058	50	14	n	n	PROPN
ejpam-2058	50	15	∞,∞	∞,∞	VERB
ejpam-2058	50	16	∑	∑	PROPN
ejpam-2058	50	17	k	k	PROPN
ejpam-2058	50	18	,	,	PUNCT
ejpam-2058	50	19	l=0,0	l=0,0	NOUN
ejpam-2058	50	20	am	be	AUX
ejpam-2058	50	21	,	,	PUNCT
ejpam-2058	50	22	n	n	CCONJ
ejpam-2058	50	23	,	,	PUNCT
ejpam-2058	50	24	k	k	NOUN
ejpam-2058	50	25	,	,	PUNCT
ejpam-2058	50	26	l	l	PROPN
ejpam-2058	50	27	�	�	PROPN
ejpam-2058	50	28	m	m	PROPN
ejpam-2058	50	29	�	�	PROPN
ejpam-2058	50	30	�	�	PROPN
ejpam-2058	50	31	�	�	PROPN
ejpam-2058	50	32	∆xk	∆xk	NOUN
ejpam-2058	50	33	,	,	PUNCT
ejpam-2058	50	34	l	l	PROPN
ejpam-2058	50	35	�	�	PROPN
ejpam-2058	50	36	�	�	PROPN
ejpam-2058	50	37	ρ	ρ	PROPN
ejpam-2058	50	38	�	�	PROPN
ejpam-2058	50	39	�	�	PROPN
ejpam-2058	50	40	pk	pk	NOUN
ejpam-2058	50	41	,	,	PUNCT
ejpam-2058	50	42	l	l	NOUN
ejpam-2058	50	43	<	<	X
ejpam-2058	50	44	∞	∞	PROPN
ejpam-2058	50	45	,	,	PUNCT
ejpam-2058	50	46	)	)	PUNCT
ejpam-2058	50	47	which	which	PRON
ejpam-2058	50	48	were	be	AUX
ejpam-2058	50	49	defined	define	VERB
ejpam-2058	50	50	and	and	CCONJ
ejpam-2058	50	51	studied	study	VERB
ejpam-2058	50	52	by	by	ADP
ejpam-2058	50	53	esi	esi	PROPN
ejpam-2058	51	1	[	[	X
ejpam-2058	51	2	1	1	NUM
ejpam-2058	51	3	]	]	PUNCT
ejpam-2058	51	4	.	.	PUNCT
ejpam-2058	52	1	3	3	X
ejpam-2058	52	2	.	.	X
ejpam-2058	52	3	main	main	ADJ
ejpam-2058	52	4	results	result	NOUN
ejpam-2058	52	5	in	in	ADP
ejpam-2058	52	6	this	this	DET
ejpam-2058	52	7	section	section	NOUN
ejpam-2058	52	8	we	we	PRON
ejpam-2058	52	9	shall	shall	AUX
ejpam-2058	52	10	establish	establish	VERB
ejpam-2058	52	11	some	some	DET
ejpam-2058	52	12	basic	basic	ADJ
ejpam-2058	52	13	properties	property	NOUN
ejpam-2058	52	14	for	for	ADP
ejpam-2058	52	15	the	the	DET
ejpam-2058	52	16	difference	difference	NOUN
ejpam-2058	52	17	sequence	sequence	NOUN
ejpam-2058	52	18	spaces	space	NOUN
ejpam-2058	52	19	defined	define	VERB
ejpam-2058	52	20	above	above	ADV
ejpam-2058	52	21	.	.	PUNCT
ejpam-2058	53	1	theorem	theorem	NOUN
ejpam-2058	53	2	1	1	NUM
ejpam-2058	53	3	.	.	PUNCT
ejpam-2058	54	1	let	let	VERB
ejpam-2058	54	2	p	p	PROPN
ejpam-2058	54	3	=	=	X
ejpam-2058	54	4	�	�	PROPN
ejpam-2058	54	5	pk	pk	PROPN
ejpam-2058	54	6	,	,	PUNCT
ejpam-2058	54	7	l	l	PROPN
ejpam-2058	54	8	�	�	PROPN
ejpam-2058	54	9	be	be	AUX
ejpam-2058	54	10	bounded	bound	VERB
ejpam-2058	54	11	.	.	PUNCT
ejpam-2058	55	1	the	the	DET
ejpam-2058	55	2	classes	class	NOUN
ejpam-2058	55	3	of	of	ADP
ejpam-2058	55	4	sequences	sequence	NOUN
ejpam-2058	55	5	w2	w2	NOUN
ejpam-2058	55	6	o	o	PROPN
ejpam-2058	55	7	�	�	PROPN
ejpam-2058	55	8	a	a	PROPN
ejpam-2058	55	9	,	,	PUNCT
ejpam-2058	55	10	m	m	PROPN
ejpam-2058	55	11	,	,	PUNCT
ejpam-2058	55	12	p	p	PROPN
ejpam-2058	55	13	�	�	PROPN
ejpam-2058	55	14	(	(	PUNCT
ejpam-2058	55	15	∆r	∆r	NOUN
ejpam-2058	55	16	)	)	PUNCT
ejpam-2058	55	17	,	,	PUNCT
ejpam-2058	55	18	w2	w2	NOUN
ejpam-2058	55	19	�	�	PROPN
ejpam-2058	55	20	a	a	PROPN
ejpam-2058	55	21	,	,	PUNCT
ejpam-2058	55	22	m	m	PROPN
ejpam-2058	55	23	,	,	PUNCT
ejpam-2058	55	24	p	p	PROPN
ejpam-2058	55	25	�	�	PROPN
ejpam-2058	55	26	(	(	PUNCT
ejpam-2058	55	27	∆r	∆r	NOUN
ejpam-2058	55	28	)	)	PUNCT
ejpam-2058	55	29	and	and	CCONJ
ejpam-2058	55	30	w2	w2	PROPN
ejpam-2058	55	31	∞	∞	PROPN
ejpam-2058	55	32	�	�	PROPN
ejpam-2058	55	33	a	a	PROPN
ejpam-2058	55	34	,	,	PUNCT
ejpam-2058	55	35	m	m	PROPN
ejpam-2058	55	36	,	,	PUNCT
ejpam-2058	55	37	p	p	PROPN
ejpam-2058	55	38	�	�	PROPN
ejpam-2058	55	39	(	(	PUNCT
ejpam-2058	55	40	∆r	∆r	NOUN
ejpam-2058	55	41	)	)	PUNCT
ejpam-2058	55	42	are	be	AUX
ejpam-2058	55	43	linear	linear	ADJ
ejpam-2058	55	44	spaces	space	NOUN
ejpam-2058	55	45	.	.	PUNCT
ejpam-2058	56	1	proof	proof	NOUN
ejpam-2058	56	2	.	.	PUNCT
ejpam-2058	57	1	the	the	DET
ejpam-2058	57	2	proof	proof	NOUN
ejpam-2058	57	3	of	of	ADP
ejpam-2058	57	4	the	the	DET
ejpam-2058	57	5	theorem	theorem	NOUN
ejpam-2058	57	6	is	be	AUX
ejpam-2058	57	7	easy	easy	ADJ
ejpam-2058	57	8	,	,	PUNCT
ejpam-2058	57	9	so	so	ADV
ejpam-2058	57	10	omitted	omit	VERB
ejpam-2058	57	11	.	.	PUNCT
ejpam-2058	58	1	theorem	theorem	NOUN
ejpam-2058	58	2	2	2	NUM
ejpam-2058	58	3	.	.	PUNCT
ejpam-2058	59	1	if	if	SCONJ
ejpam-2058	59	2	0	0	NUM
ejpam-2058	59	3	<	<	X
ejpam-2058	59	4	h	h	PROPN
ejpam-2058	59	5	=	=	PROPN
ejpam-2058	59	6	inf	inf	PROPN
ejpam-2058	59	7	pk	pk	PROPN
ejpam-2058	59	8	,	,	PUNCT
ejpam-2058	59	9	l	l	PROPN
ejpam-2058	59	10	≤	≤	NUM
ejpam-2058	59	11	sup	sup	NOUN
ejpam-2058	59	12	pk	pk	NOUN
ejpam-2058	59	13	,	,	PUNCT
ejpam-2058	59	14	l	l	NOUN
ejpam-2058	59	15	=	=	SYM
ejpam-2058	59	16	h	h	NOUN
ejpam-2058	59	17	<	<	X
ejpam-2058	59	18	∞	∞	PROPN
ejpam-2058	59	19	,	,	PUNCT
ejpam-2058	59	20	then	then	ADV
ejpam-2058	59	21	for	for	ADP
ejpam-2058	59	22	any	any	DET
ejpam-2058	59	23	orlicz	orlicz	NOUN
ejpam-2058	59	24	function	function	NOUN
ejpam-2058	59	25	m	m	PROPN
ejpam-2058	59	26	and	and	CCONJ
ejpam-2058	59	27	a	a	DET
ejpam-2058	59	28	nonnegative	nonnegative	ADJ
ejpam-2058	59	29	rh	rh	NOUN
ejpam-2058	59	30	-	-	PUNCT
ejpam-2058	59	31	regular	regular	ADJ
ejpam-2058	59	32	summability	summability	NOUN
ejpam-2058	59	33	matrix	matrix	NOUN
ejpam-2058	59	34	method	method	NOUN
ejpam-2058	59	35	a	a	DET
ejpam-2058	59	36	,	,	PUNCT
ejpam-2058	59	37	then	then	ADV
ejpam-2058	59	38	w2	w2	PROPN
ejpam-2058	59	39	�	�	PROPN
ejpam-2058	59	40	a	a	PRON
ejpam-2058	59	41	,	,	PUNCT
ejpam-2058	59	42	p	p	PROPN
ejpam-2058	59	43	�	�	PROPN
ejpam-2058	59	44	(	(	PUNCT
ejpam-2058	59	45	∆r	∆r	NOUN
ejpam-2058	59	46	)	)	PUNCT
ejpam-2058	59	47	⊂	⊂	PROPN
ejpam-2058	59	48	w2	w2	PROPN
ejpam-2058	59	49	�	�	PROPN
ejpam-2058	59	50	a	a	PROPN
ejpam-2058	59	51	,	,	PUNCT
ejpam-2058	59	52	m	m	PROPN
ejpam-2058	59	53	,	,	PUNCT
ejpam-2058	59	54	p	p	PROPN
ejpam-2058	59	55	�	�	PROPN
ejpam-2058	59	56	(	(	PUNCT
ejpam-2058	59	57	∆r	∆r	NOUN
ejpam-2058	59	58	)	)	PUNCT
ejpam-2058	59	59	.	.	PUNCT
ejpam-2058	60	1	proof	proof	NOUN
ejpam-2058	60	2	.	.	PUNCT
ejpam-2058	61	1	let	let	VERB
ejpam-2058	61	2	0	0	NUM
ejpam-2058	61	3	<	<	X
ejpam-2058	61	4	h	h	PROPN
ejpam-2058	61	5	=	=	PROPN
ejpam-2058	61	6	inf	inf	PROPN
ejpam-2058	61	7	pk	pk	PROPN
ejpam-2058	61	8	,	,	PUNCT
ejpam-2058	61	9	l	l	PROPN
ejpam-2058	61	10	≤	≤	NUM
ejpam-2058	61	11	sup	sup	NOUN
ejpam-2058	61	12	pk	pk	NOUN
ejpam-2058	61	13	,	,	PUNCT
ejpam-2058	61	14	l	l	NOUN
ejpam-2058	61	15	=	=	SYM
ejpam-2058	61	16	h	h	NOUN
ejpam-2058	61	17	<	<	X
ejpam-2058	61	18	∞	∞	NUM
ejpam-2058	61	19	and	and	CCONJ
ejpam-2058	61	20	x	x	SYM
ejpam-2058	61	21	=	=	SYM
ejpam-2058	61	22	�	�	PROPN
ejpam-2058	61	23	xk	xk	PROPN
ejpam-2058	61	24	,	,	PUNCT
ejpam-2058	61	25	l	l	PROPN
ejpam-2058	61	26	�	�	PROPN
ejpam-2058	61	27	∈	∈	PROPN
ejpam-2058	61	28	w2	w2	PROPN
ejpam-2058	61	29	�	�	PROPN
ejpam-2058	61	30	a	a	PRON
ejpam-2058	61	31	,	,	PUNCT
ejpam-2058	61	32	p	p	PROPN
ejpam-2058	61	33	�	�	PROPN
ejpam-2058	61	34	(	(	PUNCT
ejpam-2058	61	35	∆r	∆r	NOUN
ejpam-2058	61	36	)	)	PUNCT
ejpam-2058	61	37	and	and	CCONJ
ejpam-2058	61	38	let	let	VERB
ejpam-2058	61	39	0	0	PUNCT
ejpam-2058	61	40	<	<	X
ejpam-2058	61	41	ǫ	ǫ	X
ejpam-2058	61	42	<	<	X
ejpam-2058	61	43	1	1	NUM
ejpam-2058	61	44	and	and	CCONJ
ejpam-2058	61	45	δ	δ	NOUN
ejpam-2058	61	46	with	with	ADP
ejpam-2058	61	47	0	0	NUM
ejpam-2058	61	48	<	<	X
ejpam-2058	61	49	δ	δ	X
ejpam-2058	61	50	<	<	X
ejpam-2058	61	51	1	1	NUM
ejpam-2058	61	52	such	such	ADJ
ejpam-2058	61	53	that	that	SCONJ
ejpam-2058	61	54	m	m	PROPN
ejpam-2058	61	55	(	(	PUNCT
ejpam-2058	61	56	t	t	PROPN
ejpam-2058	61	57	)	)	PUNCT
ejpam-2058	61	58	<	<	X
ejpam-2058	61	59	ǫ	ǫ	PRON
ejpam-2058	61	60	for	for	ADP
ejpam-2058	61	61	0	0	NUM
ejpam-2058	61	62	≤	≤	NOUN
ejpam-2058	61	63	t	t	PROPN
ejpam-2058	61	64	<	<	X
ejpam-2058	61	65	δ	δ	PROPN
ejpam-2058	61	66	.	.	PUNCT
ejpam-2058	62	1	we	we	PRON
ejpam-2058	62	2	can	can	AUX
ejpam-2058	62	3	write	write	VERB
ejpam-2058	62	4	for	for	ADP
ejpam-2058	62	5	each	each	DET
ejpam-2058	62	6	m	m	NOUN
ejpam-2058	62	7	and	and	CCONJ
ejpam-2058	62	8	n	n	CCONJ
ejpam-2058	62	9	∞,∞	∞,∞	VERB
ejpam-2058	62	10	∑	∑	PROPN
ejpam-2058	62	11	k	k	PROPN
ejpam-2058	62	12	,	,	PUNCT
ejpam-2058	62	13	l=0,0	l=0,0	NOUN
ejpam-2058	62	14	am	be	AUX
ejpam-2058	62	15	,	,	PUNCT
ejpam-2058	62	16	n	n	CCONJ
ejpam-2058	62	17	,	,	PUNCT
ejpam-2058	62	18	k	k	NOUN
ejpam-2058	62	19	,	,	PUNCT
ejpam-2058	62	20	l	l	PROPN
ejpam-2058	62	21	�	�	PROPN
ejpam-2058	62	22	m	m	PROPN
ejpam-2058	62	23	�	�	PROPN
ejpam-2058	62	24	�	�	PROPN
ejpam-2058	62	25	�	�	PROPN
ejpam-2058	62	26	∆r	∆r	NOUN
ejpam-2058	62	27	xk	xk	PROPN
ejpam-2058	62	28	,	,	PUNCT
ejpam-2058	62	29	l	l	NOUN
ejpam-2058	62	30	−	−	PROPN
ejpam-2058	62	31	l	l	X
ejpam-2058	62	32	�	�	PROPN
ejpam-2058	62	33	�	�	PROPN
ejpam-2058	62	34	ρ	ρ	PROPN
ejpam-2058	62	35	�	�	PROPN
ejpam-2058	62	36	�	�	PROPN
ejpam-2058	62	37	pk	pk	NOUN
ejpam-2058	62	38	,	,	PUNCT
ejpam-2058	62	39	l	l	NOUN
ejpam-2058	62	40	=	=	PUNCT
ejpam-2058	62	41	∞,∞	∞,∞	VERB
ejpam-2058	62	42	∑	∑	PROPN
ejpam-2058	62	43	k	k	PROPN
ejpam-2058	62	44	,	,	PUNCT
ejpam-2058	62	45	l=0,0	l=0,0	NOUN
ejpam-2058	62	46	&	&	CCONJ
ejpam-2058	62	47	|∆r	|∆r	PROPN
ejpam-2058	62	48	xk	xk	PROPN
ejpam-2058	62	49	,	,	PUNCT
ejpam-2058	62	50	l−l|≤δ	l−l|≤δ	PROPN
ejpam-2058	62	51	am	am	NOUN
ejpam-2058	62	52	,	,	PUNCT
ejpam-2058	62	53	n	n	CCONJ
ejpam-2058	62	54	,	,	PUNCT
ejpam-2058	62	55	k	k	NOUN
ejpam-2058	62	56	,	,	PUNCT
ejpam-2058	62	57	l	l	PROPN
ejpam-2058	62	58	�	�	PROPN
ejpam-2058	62	59	m	m	PROPN
ejpam-2058	62	60	�	�	PROPN
ejpam-2058	62	61	�	�	PROPN
ejpam-2058	62	62	�	�	PROPN
ejpam-2058	62	63	∆r	∆r	NOUN
ejpam-2058	62	64	xk	xk	PROPN
ejpam-2058	62	65	,	,	PUNCT
ejpam-2058	62	66	l	l	NOUN
ejpam-2058	62	67	−	−	PROPN
ejpam-2058	62	68	l	l	X
ejpam-2058	62	69	�	�	PROPN
ejpam-2058	62	70	�	�	PROPN
ejpam-2058	62	71	ρ	ρ	PROPN
ejpam-2058	62	72	�	�	PROPN
ejpam-2058	62	73	�	�	PROPN
ejpam-2058	62	74	pk	pk	NOUN
ejpam-2058	62	75	,	,	PUNCT
ejpam-2058	62	76	l	l	PROPN
ejpam-2058	62	77	+	+	X
ejpam-2058	62	78	∞,∞	∞,∞	ADJ
ejpam-2058	62	79	∑	∑	PROPN
ejpam-2058	62	80	k	k	PROPN
ejpam-2058	62	81	,	,	PUNCT
ejpam-2058	62	82	l=0,0	l=0,0	NOUN
ejpam-2058	62	83	&	&	CCONJ
ejpam-2058	62	84	|∆r	|∆r	PROPN
ejpam-2058	62	85	xk	xk	PROPN
ejpam-2058	62	86	,	,	PUNCT
ejpam-2058	62	87	l−l|>δ	l−l|>δ	PROPN
ejpam-2058	62	88	am	am	PROPN
ejpam-2058	62	89	,	,	PUNCT
ejpam-2058	62	90	n	n	CCONJ
ejpam-2058	62	91	,	,	PUNCT
ejpam-2058	62	92	k	k	NOUN
ejpam-2058	62	93	,	,	PUNCT
ejpam-2058	62	94	l	l	PROPN
ejpam-2058	62	95	�	�	PROPN
ejpam-2058	62	96	m	m	PROPN
ejpam-2058	62	97	�	�	PROPN
ejpam-2058	62	98	�	�	PROPN
ejpam-2058	62	99	�	�	PROPN
ejpam-2058	62	100	∆r	∆r	NOUN
ejpam-2058	62	101	xk	xk	PROPN
ejpam-2058	62	102	,	,	PUNCT
ejpam-2058	62	103	l	l	NOUN
ejpam-2058	62	104	−	−	PROPN
ejpam-2058	62	105	l	l	X
ejpam-2058	62	106	�	�	PROPN
ejpam-2058	62	107	�	�	PROPN
ejpam-2058	62	108	ρ	ρ	PROPN
ejpam-2058	62	109	�	�	PROPN
ejpam-2058	62	110	�	�	PROPN
ejpam-2058	62	111	pk	pk	NOUN
ejpam-2058	62	112	,	,	PUNCT
ejpam-2058	62	113	l	l	NOUN
ejpam-2058	62	114	.	.	PUNCT
ejpam-2058	63	1	then	then	ADV
ejpam-2058	63	2	∞,∞	∞,∞	PROPN
ejpam-2058	63	3	∑	∑	PROPN
ejpam-2058	63	4	k	k	PROPN
ejpam-2058	63	5	,	,	PUNCT
ejpam-2058	63	6	l=0,0	l=0,0	NOUN
ejpam-2058	63	7	&	&	CCONJ
ejpam-2058	63	8	|∆r	|∆r	PROPN
ejpam-2058	63	9	xk	xk	PROPN
ejpam-2058	63	10	,	,	PUNCT
ejpam-2058	63	11	l−l|≤δ	l−l|≤δ	PROPN
ejpam-2058	63	12	am	am	NOUN
ejpam-2058	63	13	,	,	PUNCT
ejpam-2058	63	14	n	n	CCONJ
ejpam-2058	63	15	,	,	PUNCT
ejpam-2058	63	16	k	k	NOUN
ejpam-2058	63	17	,	,	PUNCT
ejpam-2058	63	18	l	l	PROPN
ejpam-2058	63	19	�	�	PROPN
ejpam-2058	63	20	m	m	PROPN
ejpam-2058	63	21	�	�	PROPN
ejpam-2058	63	22	�	�	PROPN
ejpam-2058	63	23	�	�	PROPN
ejpam-2058	63	24	∆r	∆r	NOUN
ejpam-2058	63	25	xk	xk	PROPN
ejpam-2058	63	26	,	,	PUNCT
ejpam-2058	63	27	l	l	NOUN
ejpam-2058	63	28	−	−	PROPN
ejpam-2058	63	29	l	l	X
ejpam-2058	63	30	�	�	PROPN
ejpam-2058	63	31	�	�	PROPN
ejpam-2058	63	32	ρ	ρ	PROPN
ejpam-2058	63	33	�	�	PROPN
ejpam-2058	63	34	�	�	PROPN
ejpam-2058	63	35	pk	pk	NOUN
ejpam-2058	63	36	,	,	PUNCT
ejpam-2058	63	37	l	l	PROPN
ejpam-2058	63	38	≤	≤	NUM
ejpam-2058	63	39	ǫh	ǫh	NUM
ejpam-2058	63	40	∞,∞	∞,∞	ADJ
ejpam-2058	63	41	∑	∑	PROPN
ejpam-2058	63	42	k	k	PROPN
ejpam-2058	63	43	,	,	PUNCT
ejpam-2058	63	44	l=0,0	l=0,0	NOUN
ejpam-2058	63	45	am	be	AUX
ejpam-2058	63	46	,	,	PUNCT
ejpam-2058	63	47	n	n	CCONJ
ejpam-2058	63	48	,	,	PUNCT
ejpam-2058	63	49	k	k	NOUN
ejpam-2058	63	50	,	,	PUNCT
ejpam-2058	63	51	l	l	NOUN
ejpam-2058	63	52	.	.	PUNCT
ejpam-2058	64	1	(	(	PUNCT
ejpam-2058	64	2	1	1	X
ejpam-2058	64	3	)	)	PUNCT
ejpam-2058	64	4	b.	b.	NOUN
ejpam-2058	64	5	hazarika	hazarika	NOUN
ejpam-2058	64	6	,	,	PUNCT
ejpam-2058	64	7	a.	a.	PROPN
ejpam-2058	64	8	esi	esi	PROPN
ejpam-2058	64	9	/	/	SYM
ejpam-2058	64	10	eur	eur	PROPN
ejpam-2058	64	11	.	.	PUNCT
ejpam-2058	65	1	j.	j.	PROPN
ejpam-2058	65	2	pure	pure	PROPN
ejpam-2058	65	3	appl	appl	PROPN
ejpam-2058	65	4	.	.	PROPN
ejpam-2058	65	5	math	math	PROPN
ejpam-2058	65	6	,	,	PUNCT
ejpam-2058	65	7	8	8	NUM
ejpam-2058	65	8	(	(	PUNCT
ejpam-2058	65	9	2015	2015	NUM
ejpam-2058	65	10	)	)	PUNCT
ejpam-2058	65	11	,	,	PUNCT
ejpam-2058	65	12	201	201	NUM
ejpam-2058	65	13	-	-	SYM
ejpam-2058	65	14	213	213	NUM
ejpam-2058	65	15	205	205	NUM
ejpam-2058	65	16	on	on	ADP
ejpam-2058	65	17	the	the	DET
ejpam-2058	65	18	other	other	ADJ
ejpam-2058	65	19	hand	hand	NOUN
ejpam-2058	66	1	,	,	PUNCT
ejpam-2058	66	2	we	we	PRON
ejpam-2058	66	3	use	use	VERB
ejpam-2058	66	4	the	the	DET
ejpam-2058	66	5	fact	fact	NOUN
ejpam-2058	66	6	that	that	SCONJ
ejpam-2058	66	7	�	�	PROPN
ejpam-2058	66	8	�	�	PROPN
ejpam-2058	66	9	∆r	∆r	NOUN
ejpam-2058	66	10	xk	xk	PROPN
ejpam-2058	66	11	,	,	PUNCT
ejpam-2058	66	12	l	l	NOUN
ejpam-2058	66	13	−	−	PROPN
ejpam-2058	66	14	l	l	X
ejpam-2058	66	15	�	�	PROPN
ejpam-2058	66	16	�	�	PROPN
ejpam-2058	66	17	<	<	X
ejpam-2058	66	18	1	1	NUM
ejpam-2058	66	19	+	+	NUM
ejpam-2058	66	20			PROPN
ejpam-2058	66	21			NUM
ejpam-2058	66	22	�	�	PROPN
ejpam-2058	66	23	�	�	PROPN
ejpam-2058	66	24	�	�	PROPN
ejpam-2058	66	25	�	�	PROPN
ejpam-2058	66	26	�	�	PROPN
ejpam-2058	66	27	�	�	PROPN
ejpam-2058	66	28	�	�	PROPN
ejpam-2058	66	29	∆r	∆r	NOUN
ejpam-2058	66	30	xk	xk	PROPN
ejpam-2058	66	31	,	,	PUNCT
ejpam-2058	66	32	l	l	NOUN
ejpam-2058	66	33	−	−	PROPN
ejpam-2058	66	34	l	l	X
ejpam-2058	66	35	�	�	PROPN
ejpam-2058	66	36	�	�	PROPN
ejpam-2058	66	37	ρ	ρ	PROPN
ejpam-2058	66	38	�	�	PROPN
ejpam-2058	66	39	�	�	PROPN
ejpam-2058	66	40	�	�	PROPN
ejpam-2058	66	41	�	�	PROPN
ejpam-2058	66	42	�	�	PROPN
ejpam-2058	66	43			PROPN
ejpam-2058	66	44			PROPN
ejpam-2058	66	45	where	where	SCONJ
ejpam-2058	66	46	[	[	X
ejpam-2058	66	47	|t|	|t|	NOUN
ejpam-2058	66	48	]	]	X
ejpam-2058	66	49	denotes	denote	VERB
ejpam-2058	66	50	the	the	DET
ejpam-2058	66	51	integer	integer	NOUN
ejpam-2058	66	52	part	part	NOUN
ejpam-2058	66	53	of	of	ADP
ejpam-2058	66	54	t.	t.	PROPN
ejpam-2058	66	55	since	since	SCONJ
ejpam-2058	66	56	m	m	PROPN
ejpam-2058	66	57	is	be	AUX
ejpam-2058	66	58	orlicz	orlicz	ADJ
ejpam-2058	66	59	function	function	NOUN
ejpam-2058	66	60	we	we	PRON
ejpam-2058	66	61	have	have	VERB
ejpam-2058	66	62	m	m	PROPN
ejpam-2058	66	63	�	�	PROPN
ejpam-2058	66	64	�	�	PROPN
ejpam-2058	66	65	�	�	PROPN
ejpam-2058	66	66	∆r	∆r	NOUN
ejpam-2058	66	67	xk	xk	PROPN
ejpam-2058	66	68	,	,	PUNCT
ejpam-2058	66	69	l	l	NOUN
ejpam-2058	66	70	−	−	PROPN
ejpam-2058	66	71	l	l	X
ejpam-2058	66	72	�	�	PROPN
ejpam-2058	66	73	�	�	PROPN
ejpam-2058	66	74	ρ	ρ	PROPN
ejpam-2058	66	75	�	�	PROPN
ejpam-2058	66	76	≥	≥	NUM
ejpam-2058	66	77	m	m	PROPN
ejpam-2058	66	78	(	(	PUNCT
ejpam-2058	66	79	1	1	NUM
ejpam-2058	66	80	)	)	PUNCT
ejpam-2058	66	81	.	.	PUNCT
ejpam-2058	67	1	now	now	ADV
ejpam-2058	67	2	,	,	PUNCT
ejpam-2058	67	3	let	let	VERB
ejpam-2058	67	4	us	we	PRON
ejpam-2058	67	5	consider	consider	VERB
ejpam-2058	67	6	the	the	DET
ejpam-2058	67	7	second	second	ADJ
ejpam-2058	67	8	part	part	NOUN
ejpam-2058	67	9	where	where	SCONJ
ejpam-2058	67	10	the	the	DET
ejpam-2058	67	11	sum	sum	NOUN
ejpam-2058	67	12	is	be	AUX
ejpam-2058	67	13	taken	take	VERB
ejpam-2058	67	14	over	over	ADP
ejpam-2058	67	15	�	�	PROPN
ejpam-2058	67	16	�	�	PROPN
ejpam-2058	67	17	∆r	∆r	NOUN
ejpam-2058	67	18	xk	xk	PROPN
ejpam-2058	67	19	,	,	PUNCT
ejpam-2058	67	20	l	l	NOUN
ejpam-2058	67	21	−	−	PROPN
ejpam-2058	67	22	l	l	X
ejpam-2058	67	23	�	�	PROPN
ejpam-2058	67	24	�	�	PROPN
ejpam-2058	67	25	>	>	X
ejpam-2058	67	26	δ	δ	PROPN
ejpam-2058	67	27	.	.	PUNCT
ejpam-2058	68	1	thus	thus	ADV
ejpam-2058	68	2	∑	∑	PROPN
ejpam-2058	68	3	k	k	PROPN
ejpam-2058	68	4	,	,	PUNCT
ejpam-2058	68	5	l=0,0	l=0,0	NOUN
ejpam-2058	68	6	&	&	CCONJ
ejpam-2058	68	7	|∆r	|∆r	PROPN
ejpam-2058	68	8	xk	xk	PROPN
ejpam-2058	68	9	,	,	PUNCT
ejpam-2058	68	10	l−l|>δ	l−l|>δ	PROPN
ejpam-2058	68	11	∞,∞am	∞,∞am	NUM
ejpam-2058	68	12	,	,	PUNCT
ejpam-2058	68	13	n	n	CCONJ
ejpam-2058	68	14	,	,	PUNCT
ejpam-2058	68	15	k	k	NOUN
ejpam-2058	68	16	,	,	PUNCT
ejpam-2058	68	17	l	l	PROPN
ejpam-2058	68	18	�	�	PROPN
ejpam-2058	68	19	m	m	PROPN
ejpam-2058	68	20	�	�	PROPN
ejpam-2058	68	21	�	�	PROPN
ejpam-2058	68	22	�	�	PROPN
ejpam-2058	68	23	∆r	∆r	NOUN
ejpam-2058	68	24	xk	xk	PROPN
ejpam-2058	68	25	,	,	PUNCT
ejpam-2058	68	26	l	l	NOUN
ejpam-2058	68	27	−	−	PROPN
ejpam-2058	68	28	l	l	X
ejpam-2058	68	29	�	�	PROPN
ejpam-2058	68	30	�	�	PROPN
ejpam-2058	68	31	ρ	ρ	PROPN
ejpam-2058	68	32	�	�	PROPN
ejpam-2058	68	33	�	�	PROPN
ejpam-2058	68	34	pk	pk	NOUN
ejpam-2058	68	35	,	,	PUNCT
ejpam-2058	68	36	l	l	PROPN
ejpam-2058	68	37	≤	≤	NUM
ejpam-2058	68	38	∞,∞	∞,∞	VERB
ejpam-2058	68	39	∑	∑	PROPN
ejpam-2058	68	40	k	k	PROPN
ejpam-2058	68	41	,	,	PUNCT
ejpam-2058	68	42	l=0,0	l=0,0	NOUN
ejpam-2058	68	43	&	&	CCONJ
ejpam-2058	68	44	|∆r	|∆r	PROPN
ejpam-2058	68	45	xk	xk	PROPN
ejpam-2058	68	46	,	,	PUNCT
ejpam-2058	68	47	l−l|>δ	l−l|>δ	PROPN
ejpam-2058	68	48	am	am	PROPN
ejpam-2058	68	49	,	,	PUNCT
ejpam-2058	68	50	n	n	CCONJ
ejpam-2058	68	51	,	,	PUNCT
ejpam-2058	68	52	k	k	NOUN
ejpam-2058	68	53	,	,	PUNCT
ejpam-2058	68	54	l	l	PROPN
ejpam-2058	68	55			PROPN
ejpam-2058	68	56	m	m	PROPN
ejpam-2058	68	57			PROPN
ejpam-2058	68	58	1	1	PROPN
ejpam-2058	68	59	+	+	PROPN
ejpam-2058	68	60			PROPN
ejpam-2058	68	61			NUM
ejpam-2058	68	62	�	�	PROPN
ejpam-2058	68	63	�	�	PROPN
ejpam-2058	68	64	�	�	PROPN
ejpam-2058	68	65	�	�	PROPN
ejpam-2058	68	66	�	�	PROPN
ejpam-2058	68	67	�	�	PROPN
ejpam-2058	68	68	�	�	PROPN
ejpam-2058	68	69	∆r	∆r	NOUN
ejpam-2058	68	70	xk	xk	PROPN
ejpam-2058	68	71	,	,	PUNCT
ejpam-2058	68	72	l	l	NOUN
ejpam-2058	68	73	−	−	PROPN
ejpam-2058	68	74	l	l	X
ejpam-2058	68	75	�	�	PROPN
ejpam-2058	68	76	�	�	PROPN
ejpam-2058	68	77	ρ	ρ	PROPN
ejpam-2058	68	78	�	�	PROPN
ejpam-2058	68	79	�	�	PROPN
ejpam-2058	68	80	�	�	PROPN
ejpam-2058	68	81	�	�	PROPN
ejpam-2058	68	82	�	�	PROPN
ejpam-2058	68	83			PROPN
ejpam-2058	68	84			PROPN
ejpam-2058	68	85			NOUN
ejpam-2058	68	86			PUNCT
ejpam-2058	69	1			PROPN
ejpam-2058	69	2			PROPN
ejpam-2058	69	3	pk	pk	NOUN
ejpam-2058	69	4	,	,	PUNCT
ejpam-2058	69	5	l	l	PROPN
ejpam-2058	69	6	≤	≤	NUM
ejpam-2058	69	7	�	�	PROPN
ejpam-2058	69	8	2	2	NUM
ejpam-2058	69	9	m	m	NOUN
ejpam-2058	69	10	(	(	PUNCT
ejpam-2058	69	11	1)δ−1	1)δ−1	NUM
ejpam-2058	69	12	�	�	NOUN
ejpam-2058	69	13	h	h	NOUN
ejpam-2058	69	14	∞,∞	∞,∞	VERB
ejpam-2058	69	15	∑	∑	PROPN
ejpam-2058	69	16	k	k	PROPN
ejpam-2058	69	17	,	,	PUNCT
ejpam-2058	69	18	l=0,0	l=0,0	NOUN
ejpam-2058	69	19	am	be	AUX
ejpam-2058	69	20	,	,	PUNCT
ejpam-2058	69	21	n	n	CCONJ
ejpam-2058	69	22	,	,	PUNCT
ejpam-2058	69	23	k	k	NOUN
ejpam-2058	69	24	,	,	PUNCT
ejpam-2058	69	25	l	l	PROPN
ejpam-2058	69	26	�	�	PROPN
ejpam-2058	69	27	�	�	PROPN
ejpam-2058	69	28	�	�	PROPN
ejpam-2058	69	29	∆r	∆r	NOUN
ejpam-2058	69	30	xk	xk	PROPN
ejpam-2058	69	31	,	,	PUNCT
ejpam-2058	69	32	l	l	NOUN
ejpam-2058	69	33	−	−	PROPN
ejpam-2058	69	34	l	l	X
ejpam-2058	69	35	�	�	PROPN
ejpam-2058	69	36	�	�	PROPN
ejpam-2058	69	37	ρ	ρ	PROPN
ejpam-2058	69	38	�	�	PROPN
ejpam-2058	69	39	pk	pk	PROPN
ejpam-2058	69	40	,	,	PUNCT
ejpam-2058	69	41	l	l	NOUN
ejpam-2058	69	42	this	this	DET
ejpam-2058	69	43	inequality	inequality	NOUN
ejpam-2058	69	44	and	and	CCONJ
ejpam-2058	69	45	from	from	ADP
ejpam-2058	69	46	(	(	PUNCT
ejpam-2058	69	47	1	1	NUM
ejpam-2058	69	48	)	)	PUNCT
ejpam-2058	69	49	and	and	CCONJ
ejpam-2058	69	50	rh	rh	NOUN
ejpam-2058	69	51	-	-	PUNCT
ejpam-2058	69	52	regularity	regularity	NOUN
ejpam-2058	69	53	of	of	ADP
ejpam-2058	69	54	a	a	PRON
ejpam-2058	69	55	,	,	PUNCT
ejpam-2058	69	56	we	we	PRON
ejpam-2058	69	57	are	be	AUX
ejpam-2058	69	58	granted	grant	VERB
ejpam-2058	69	59	that	that	SCONJ
ejpam-2058	69	60	x	x	NOUN
ejpam-2058	69	61	=	=	SYM
ejpam-2058	69	62	�	�	PROPN
ejpam-2058	69	63	xk	xk	PROPN
ejpam-2058	69	64	,	,	PUNCT
ejpam-2058	69	65	l	l	PROPN
ejpam-2058	69	66	�	�	PROPN
ejpam-2058	69	67	∈	∈	PROPN
ejpam-2058	69	68	w2	w2	PROPN
ejpam-2058	69	69	�	�	PROPN
ejpam-2058	69	70	a	a	PROPN
ejpam-2058	69	71	,	,	PUNCT
ejpam-2058	69	72	m	m	PROPN
ejpam-2058	69	73	,	,	PUNCT
ejpam-2058	69	74	p	p	PROPN
ejpam-2058	69	75	�	�	PROPN
ejpam-2058	69	76	(	(	PUNCT
ejpam-2058	69	77	∆r	∆r	NOUN
ejpam-2058	69	78	)	)	PUNCT
ejpam-2058	69	79	and	and	CCONJ
ejpam-2058	69	80	this	this	PRON
ejpam-2058	69	81	completes	complete	VERB
ejpam-2058	69	82	the	the	DET
ejpam-2058	69	83	proof	proof	NOUN
ejpam-2058	69	84	.	.	PUNCT
ejpam-2058	70	1	theorem	theorem	ADJ
ejpam-2058	70	2	3	3	NUM
ejpam-2058	70	3	.	.	PUNCT
ejpam-2058	70	4	w2	w2	PROPN
ejpam-2058	70	5	o	o	PROPN
ejpam-2058	70	6	�	�	PROPN
ejpam-2058	71	1	a	a	PROPN
ejpam-2058	71	2	,	,	PUNCT
ejpam-2058	71	3	m	m	PROPN
ejpam-2058	71	4	,	,	PUNCT
ejpam-2058	71	5	p	p	PROPN
ejpam-2058	71	6	�	�	PROPN
ejpam-2058	71	7	(	(	PUNCT
ejpam-2058	71	8	∆r	∆r	NOUN
ejpam-2058	71	9	)	)	PUNCT
ejpam-2058	71	10	,	,	PUNCT
ejpam-2058	71	11	w2	w2	NOUN
ejpam-2058	71	12	�	�	PROPN
ejpam-2058	71	13	a	a	PROPN
ejpam-2058	71	14	,	,	PUNCT
ejpam-2058	71	15	m	m	PROPN
ejpam-2058	71	16	,	,	PUNCT
ejpam-2058	71	17	p	p	PROPN
ejpam-2058	71	18	�	�	PROPN
ejpam-2058	71	19	(	(	PUNCT
ejpam-2058	71	20	∆r	∆r	NOUN
ejpam-2058	71	21	)	)	PUNCT
ejpam-2058	71	22	and	and	CCONJ
ejpam-2058	71	23	w2	w2	PROPN
ejpam-2058	71	24	∞	∞	PROPN
ejpam-2058	71	25	�	�	PROPN
ejpam-2058	71	26	a	a	PROPN
ejpam-2058	71	27	,	,	PUNCT
ejpam-2058	71	28	m	m	PROPN
ejpam-2058	71	29	,	,	PUNCT
ejpam-2058	71	30	p	p	PROPN
ejpam-2058	71	31	�	�	PROPN
ejpam-2058	71	32	(	(	PUNCT
ejpam-2058	71	33	∆r	∆r	NOUN
ejpam-2058	71	34	)	)	PUNCT
ejpam-2058	71	35	are	be	AUX
ejpam-2058	71	36	complete	complete	ADJ
ejpam-2058	71	37	linear	linear	ADJ
ejpam-2058	71	38	topological	topological	ADJ
ejpam-2058	71	39	spaces	space	NOUN
ejpam-2058	71	40	with	with	ADP
ejpam-2058	71	41	the	the	DET
ejpam-2058	71	42	paranorm	paranorm	NOUN
ejpam-2058	71	43	g	g	PROPN
ejpam-2058	71	44	�	�	PROPN
ejpam-2058	71	45	�	�	PROPN
ejpam-2058	71	46	xk	xk	PROPN
ejpam-2058	71	47	,	,	PUNCT
ejpam-2058	71	48	l	l	PROPN
ejpam-2058	71	49	�	�	PROPN
ejpam-2058	71	50	�	�	PROPN
ejpam-2058	71	51	=	=	SYM
ejpam-2058	71	52	r	r	NOUN
ejpam-2058	71	53	∑	∑	PUNCT
ejpam-2058	71	54	k=1	k=1	NOUN
ejpam-2058	71	55	|xk,1|+	|xk,1|+	PUNCT
ejpam-2058	72	1	r	r	AUX
ejpam-2058	72	2	∑	∑	PUNCT
ejpam-2058	72	3	l=1	l=1	PROPN
ejpam-2058	72	4	|x1,l	|x1,l	PROPN
ejpam-2058	72	5	|	|	ADV
ejpam-2058	72	6	+	+	CCONJ
ejpam-2058	72	7	inf	inf	ADJ
ejpam-2058	72	8			NOUN
ejpam-2058	72	9			PROPN
ejpam-2058	72	10			PROPN
ejpam-2058	72	11	ρ	ρ	PROPN
ejpam-2058	72	12	pk	pk	PROPN
ejpam-2058	72	13	,	,	PUNCT
ejpam-2058	72	14	l	l	PROPN
ejpam-2058	72	15	t	t	NOUN
ejpam-2058	72	16	>	>	X
ejpam-2058	72	17	0	0	PUNCT
ejpam-2058	72	18	:	:	PUNCT
ejpam-2058	72	19	sup	sup	NOUN
ejpam-2058	72	20	m	m	PROPN
ejpam-2058	72	21	,	,	PUNCT
ejpam-2058	72	22	n	n	PROPN
ejpam-2058	72	23	∞,∞	∞,∞	VERB
ejpam-2058	72	24	∑	∑	PROPN
ejpam-2058	72	25	k	k	PROPN
ejpam-2058	72	26	,	,	PUNCT
ejpam-2058	72	27	l=0,0	l=0,0	NOUN
ejpam-2058	72	28	am	be	AUX
ejpam-2058	72	29	,	,	PUNCT
ejpam-2058	72	30	n	n	CCONJ
ejpam-2058	72	31	,	,	PUNCT
ejpam-2058	72	32	k	k	NOUN
ejpam-2058	72	33	,	,	PUNCT
ejpam-2058	72	34	l	l	PROPN
ejpam-2058	72	35	�	�	PROPN
ejpam-2058	72	36	m	m	PROPN
ejpam-2058	72	37	�	�	PROPN
ejpam-2058	72	38	|∆r	|∆r	PROPN
ejpam-2058	72	39	xk	xk	PROPN
ejpam-2058	72	40	,	,	PUNCT
ejpam-2058	72	41	l	l	PROPN
ejpam-2058	72	42	|	|	PROPN
ejpam-2058	72	43	ρ	ρ	PROPN
ejpam-2058	72	44	�	�	PROPN
ejpam-2058	72	45	�	�	PROPN
ejpam-2058	72	46	pk	pk	NOUN
ejpam-2058	72	47	,	,	PUNCT
ejpam-2058	72	48	l	l	NOUN
ejpam-2058	72	49	!	!	PUNCT
ejpam-2058	73	1	1	1	NUM
ejpam-2058	73	2	t	t	NOUN
ejpam-2058	73	3	≤	≤	NUM
ejpam-2058	73	4	1	1	NUM
ejpam-2058	73	5			PROPN
ejpam-2058	73	6			PROPN
ejpam-2058	73	7			NOUN
ejpam-2058	73	8	.	.	PUNCT
ejpam-2058	74	1	where	where	SCONJ
ejpam-2058	74	2	t	t	PROPN
ejpam-2058	74	3	=	=	SYM
ejpam-2058	74	4	max	max	X
ejpam-2058	74	5	(	(	PUNCT
ejpam-2058	74	6	1	1	NUM
ejpam-2058	74	7	,	,	PUNCT
ejpam-2058	74	8	h	h	NOUN
ejpam-2058	74	9	)	)	PUNCT
ejpam-2058	74	10	,	,	PUNCT
ejpam-2058	74	11	h	h	NOUN
ejpam-2058	74	12	=	=	SYM
ejpam-2058	74	13	supk	supk	PROPN
ejpam-2058	74	14	,	,	PUNCT
ejpam-2058	74	15	l	l	NOUN
ejpam-2058	74	16	pk	pk	NOUN
ejpam-2058	74	17	,	,	PUNCT
ejpam-2058	74	18	l	l	NOUN
ejpam-2058	74	19	.	.	PUNCT
ejpam-2058	75	1	proof	proof	NOUN
ejpam-2058	75	2	.	.	PUNCT
ejpam-2058	76	1	clearly	clearly	ADV
ejpam-2058	76	2	g	g	PROPN
ejpam-2058	76	3	(	(	PUNCT
ejpam-2058	76	4	0	0	NUM
ejpam-2058	76	5	)	)	PUNCT
ejpam-2058	76	6	=	=	SYM
ejpam-2058	76	7	0	0	NUM
ejpam-2058	76	8	,	,	PUNCT
ejpam-2058	76	9	g	g	PROPN
ejpam-2058	76	10	(	(	PUNCT
ejpam-2058	76	11	−x	−x	NOUN
ejpam-2058	76	12	)	)	PUNCT
ejpam-2058	76	13	=	=	SYM
ejpam-2058	76	14	g	g	PROPN
ejpam-2058	76	15	(	(	PUNCT
ejpam-2058	76	16	x	x	NOUN
ejpam-2058	76	17	)	)	PUNCT
ejpam-2058	76	18	.	.	PUNCT
ejpam-2058	77	1	let	let	VERB
ejpam-2058	77	2	x	x	SYM
ejpam-2058	77	3	=	=	SYM
ejpam-2058	77	4	�	�	PROPN
ejpam-2058	77	5	xk	xk	PROPN
ejpam-2058	77	6	,	,	PUNCT
ejpam-2058	77	7	l	l	PROPN
ejpam-2058	77	8	�	�	PROPN
ejpam-2058	77	9	,	,	PUNCT
ejpam-2058	77	10	y	y	PROPN
ejpam-2058	77	11	=	=	SYM
ejpam-2058	77	12	�	�	PROPN
ejpam-2058	77	13	yk	yk	PROPN
ejpam-2058	77	14	,	,	PUNCT
ejpam-2058	77	15	l	l	PROPN
ejpam-2058	77	16	�	�	PROPN
ejpam-2058	77	17	∈	∈	PROPN
ejpam-2058	77	18	w2	w2	NOUN
ejpam-2058	77	19	∞	∞	PROPN
ejpam-2058	77	20	�	�	PROPN
ejpam-2058	77	21	a	a	PROPN
ejpam-2058	77	22	,	,	PUNCT
ejpam-2058	77	23	m	m	PROPN
ejpam-2058	77	24	,	,	PUNCT
ejpam-2058	77	25	p	p	PROPN
ejpam-2058	77	26	�	�	PROPN
ejpam-2058	77	27	(	(	PUNCT
ejpam-2058	77	28	∆r	∆r	NOUN
ejpam-2058	77	29	)	)	PUNCT
ejpam-2058	77	30	.	.	PUNCT
ejpam-2058	78	1	then	then	ADV
ejpam-2058	78	2	there	there	PRON
ejpam-2058	78	3	exist	exist	VERB
ejpam-2058	78	4	some	some	DET
ejpam-2058	78	5	ρ1	ρ1	NOUN
ejpam-2058	78	6	and	and	CCONJ
ejpam-2058	78	7	ρ2	ρ2	VERB
ejpam-2058	78	8	such	such	DET
ejpam-2058	78	9	that	that	DET
ejpam-2058	78	10	sup	sup	NOUN
ejpam-2058	78	11	m	m	PROPN
ejpam-2058	78	12	,	,	PUNCT
ejpam-2058	78	13	n	n	PROPN
ejpam-2058	78	14	∞,∞	∞,∞	VERB
ejpam-2058	78	15	∑	∑	PROPN
ejpam-2058	78	16	k	k	PROPN
ejpam-2058	78	17	,	,	PUNCT
ejpam-2058	78	18	l=0,0	l=0,0	NOUN
ejpam-2058	78	19	am	be	AUX
ejpam-2058	78	20	,	,	PUNCT
ejpam-2058	78	21	n	n	CCONJ
ejpam-2058	78	22	,	,	PUNCT
ejpam-2058	78	23	k	k	NOUN
ejpam-2058	78	24	,	,	PUNCT
ejpam-2058	78	25	l	l	PROPN
ejpam-2058	78	26	�	�	PROPN
ejpam-2058	78	27	m	m	PROPN
ejpam-2058	78	28	�	�	PROPN
ejpam-2058	78	29	�	�	PROPN
ejpam-2058	78	30	�	�	PROPN
ejpam-2058	78	31	∆r	∆r	NOUN
ejpam-2058	78	32	xk	xk	PROPN
ejpam-2058	78	33	,	,	PUNCT
ejpam-2058	78	34	l	l	PROPN
ejpam-2058	78	35	�	�	PROPN
ejpam-2058	78	36	�	�	PROPN
ejpam-2058	78	37	ρ1	ρ1	PROPN
ejpam-2058	78	38	�	�	PROPN
ejpam-2058	78	39	�	�	PROPN
ejpam-2058	78	40	pk	pk	NOUN
ejpam-2058	78	41	,	,	PUNCT
ejpam-2058	78	42	l	l	NOUN
ejpam-2058	78	43	!	!	PUNCT
ejpam-2058	79	1	1	1	NUM
ejpam-2058	79	2	t	t	NOUN
ejpam-2058	79	3	≤	≤	NUM
ejpam-2058	79	4	1	1	NUM
ejpam-2058	79	5	b.	b.	NOUN
ejpam-2058	79	6	hazarika	hazarika	NOUN
ejpam-2058	79	7	,	,	PUNCT
ejpam-2058	79	8	a.	a.	PROPN
ejpam-2058	79	9	esi	esi	PROPN
ejpam-2058	79	10	/	/	SYM
ejpam-2058	79	11	eur	eur	PROPN
ejpam-2058	79	12	.	.	PUNCT
ejpam-2058	80	1	j.	j.	PROPN
ejpam-2058	80	2	pure	pure	PROPN
ejpam-2058	80	3	appl	appl	PROPN
ejpam-2058	80	4	.	.	PROPN
ejpam-2058	80	5	math	math	PROPN
ejpam-2058	80	6	,	,	PUNCT
ejpam-2058	80	7	8	8	NUM
ejpam-2058	80	8	(	(	PUNCT
ejpam-2058	80	9	2015	2015	NUM
ejpam-2058	80	10	)	)	PUNCT
ejpam-2058	80	11	,	,	PUNCT
ejpam-2058	80	12	201	201	NUM
ejpam-2058	80	13	-	-	SYM
ejpam-2058	80	14	213	213	NUM
ejpam-2058	80	15	206	206	NUM
ejpam-2058	80	16	and	and	CCONJ
ejpam-2058	80	17	sup	sup	NOUN
ejpam-2058	80	18	m	m	PROPN
ejpam-2058	80	19	,	,	PUNCT
ejpam-2058	80	20	n	n	PROPN
ejpam-2058	80	21	∞,∞	∞,∞	VERB
ejpam-2058	80	22	∑	∑	PROPN
ejpam-2058	80	23	k	k	PROPN
ejpam-2058	80	24	,	,	PUNCT
ejpam-2058	80	25	l=0,0	l=0,0	NOUN
ejpam-2058	80	26	am	be	AUX
ejpam-2058	80	27	,	,	PUNCT
ejpam-2058	80	28	n	n	CCONJ
ejpam-2058	80	29	,	,	PUNCT
ejpam-2058	80	30	k	k	NOUN
ejpam-2058	80	31	,	,	PUNCT
ejpam-2058	80	32	l	l	PROPN
ejpam-2058	80	33	�	�	PROPN
ejpam-2058	80	34	m	m	PROPN
ejpam-2058	80	35	�	�	PROPN
ejpam-2058	80	36	�	�	PROPN
ejpam-2058	80	37	�	�	PROPN
ejpam-2058	80	38	∆r	∆r	PROPN
ejpam-2058	80	39	yk	yk	PROPN
ejpam-2058	80	40	,	,	PUNCT
ejpam-2058	80	41	l	l	PROPN
ejpam-2058	80	42	�	�	PROPN
ejpam-2058	80	43	�	�	PROPN
ejpam-2058	80	44	ρ2	ρ2	PROPN
ejpam-2058	80	45	�	�	PROPN
ejpam-2058	80	46	�	�	PROPN
ejpam-2058	80	47	pk	pk	NOUN
ejpam-2058	80	48	,	,	PUNCT
ejpam-2058	80	49	l	l	NOUN
ejpam-2058	80	50	!	!	PUNCT
ejpam-2058	81	1	1	1	NUM
ejpam-2058	81	2	t	t	NOUN
ejpam-2058	81	3	≤	≤	NUM
ejpam-2058	81	4	1	1	NUM
ejpam-2058	81	5	.	.	PUNCT
ejpam-2058	82	1	let	let	VERB
ejpam-2058	82	2	ρ	ρ	PROPN
ejpam-2058	82	3	=	=	SYM
ejpam-2058	82	4	ρ1	ρ1	PROPN
ejpam-2058	82	5	+	+	NOUN
ejpam-2058	82	6	ρ2	ρ2	NOUN
ejpam-2058	82	7	.	.	PUNCT
ejpam-2058	83	1	then	then	ADV
ejpam-2058	83	2	we	we	PRON
ejpam-2058	83	3	have	have	VERB
ejpam-2058	83	4	sup	sup	NOUN
ejpam-2058	83	5	m	m	PROPN
ejpam-2058	83	6	,	,	PUNCT
ejpam-2058	83	7	n	n	PROPN
ejpam-2058	83	8	∞,∞	∞,∞	VERB
ejpam-2058	83	9	∑	∑	PROPN
ejpam-2058	83	10	k	k	PROPN
ejpam-2058	83	11	,	,	PUNCT
ejpam-2058	83	12	l=0,0	l=0,0	NOUN
ejpam-2058	83	13	am	be	AUX
ejpam-2058	83	14	,	,	PUNCT
ejpam-2058	83	15	n	n	CCONJ
ejpam-2058	83	16	,	,	PUNCT
ejpam-2058	83	17	k	k	NOUN
ejpam-2058	83	18	,	,	PUNCT
ejpam-2058	83	19	l	l	PROPN
ejpam-2058	83	20	�	�	PROPN
ejpam-2058	83	21	m	m	PROPN
ejpam-2058	83	22	�	�	PROPN
ejpam-2058	83	23	�	�	PROPN
ejpam-2058	83	24	�	�	PROPN
ejpam-2058	83	25	∆r	∆r	PROPN
ejpam-2058	83	26	�	�	PROPN
ejpam-2058	83	27	xk	xk	PROPN
ejpam-2058	83	28	,	,	PUNCT
ejpam-2058	83	29	l	l	PROPN
ejpam-2058	84	1	+	+	CCONJ
ejpam-2058	84	2	yk	yk	PROPN
ejpam-2058	84	3	,	,	PUNCT
ejpam-2058	84	4	l	l	PROPN
ejpam-2058	84	5	�	�	PROPN
ejpam-2058	84	6	�	�	PROPN
ejpam-2058	84	7	�	�	PROPN
ejpam-2058	84	8	ρ	ρ	PROPN
ejpam-2058	84	9	�	�	PROPN
ejpam-2058	84	10	�	�	PROPN
ejpam-2058	84	11	pk	pk	NOUN
ejpam-2058	84	12	,	,	PUNCT
ejpam-2058	84	13	l	l	NOUN
ejpam-2058	84	14	!	!	PUNCT
ejpam-2058	85	1	1	1	NUM
ejpam-2058	85	2	t	t	NOUN
ejpam-2058	85	3	sup	sup	NOUN
ejpam-2058	85	4	m	m	PROPN
ejpam-2058	85	5	,	,	PUNCT
ejpam-2058	85	6	n	n	PROPN
ejpam-2058	85	7	∞,∞	∞,∞	VERB
ejpam-2058	85	8	∑	∑	PROPN
ejpam-2058	85	9	k	k	PROPN
ejpam-2058	85	10	,	,	PUNCT
ejpam-2058	85	11	l=0,0	l=0,0	NOUN
ejpam-2058	85	12	am	be	AUX
ejpam-2058	85	13	,	,	PUNCT
ejpam-2058	85	14	n	n	CCONJ
ejpam-2058	85	15	,	,	PUNCT
ejpam-2058	85	16	k	k	NOUN
ejpam-2058	85	17	,	,	PUNCT
ejpam-2058	85	18	l	l	PROPN
ejpam-2058	85	19	�	�	PROPN
ejpam-2058	85	20	m	m	PROPN
ejpam-2058	85	21	�	�	PROPN
ejpam-2058	85	22	�	�	PROPN
ejpam-2058	85	23	�	�	PROPN
ejpam-2058	85	24	∆r	∆r	NOUN
ejpam-2058	85	25	xk	xk	PROPN
ejpam-2058	85	26	,	,	PUNCT
ejpam-2058	85	27	l	l	PROPN
ejpam-2058	85	28	+	+	NOUN
ejpam-2058	85	29	∆	∆	VERB
ejpam-2058	85	30	r	r	NOUN
ejpam-2058	85	31	yk	yk	PROPN
ejpam-2058	85	32	,	,	PUNCT
ejpam-2058	85	33	l	l	PROPN
ejpam-2058	85	34	�	�	PROPN
ejpam-2058	85	35	�	�	PROPN
ejpam-2058	85	36	ρ1	ρ1	PROPN
ejpam-2058	85	37	+	+	NOUN
ejpam-2058	85	38	ρ2	ρ2	PROPN
ejpam-2058	85	39	�	�	PROPN
ejpam-2058	85	40	�	�	PROPN
ejpam-2058	85	41	pk	pk	NOUN
ejpam-2058	85	42	,	,	PUNCT
ejpam-2058	85	43	l	l	NOUN
ejpam-2058	85	44	!	!	PUNCT
ejpam-2058	86	1	1	1	NUM
ejpam-2058	86	2	t	t	NOUN
ejpam-2058	86	3	≤	≤	NUM
ejpam-2058	86	4	sup	sup	NOUN
ejpam-2058	86	5	m	m	PROPN
ejpam-2058	86	6	,	,	PUNCT
ejpam-2058	86	7	n	n	PROPN
ejpam-2058	86	8	∞,∞	∞,∞	VERB
ejpam-2058	86	9	∑	∑	PROPN
ejpam-2058	86	10	k	k	PROPN
ejpam-2058	86	11	,	,	PUNCT
ejpam-2058	86	12	l=0,0	l=0,0	NOUN
ejpam-2058	86	13	am	be	AUX
ejpam-2058	86	14	,	,	PUNCT
ejpam-2058	86	15	n	n	CCONJ
ejpam-2058	86	16	,	,	PUNCT
ejpam-2058	86	17	k	k	NOUN
ejpam-2058	86	18	,	,	PUNCT
ejpam-2058	86	19	l	l	PROPN
ejpam-2058	86	20	�	�	PROPN
ejpam-2058	86	21	ρ1	ρ1	PROPN
ejpam-2058	86	22	ρ1	ρ1	NOUN
ejpam-2058	86	23	+	+	NOUN
ejpam-2058	86	24	ρ2	ρ2	PROPN
ejpam-2058	86	25	m	m	VERB
ejpam-2058	86	26	�	�	PROPN
ejpam-2058	86	27	�	�	PROPN
ejpam-2058	86	28	�	�	PROPN
ejpam-2058	86	29	∆r	∆r	NOUN
ejpam-2058	86	30	xk	xk	PROPN
ejpam-2058	86	31	,	,	PUNCT
ejpam-2058	86	32	l	l	PROPN
ejpam-2058	86	33	�	�	PROPN
ejpam-2058	86	34	�	�	PROPN
ejpam-2058	86	35	ρ1	ρ1	PROPN
ejpam-2058	86	36	�	�	PROPN
ejpam-2058	86	37	+	+	CCONJ
ejpam-2058	86	38	ρ2	ρ2	PROPN
ejpam-2058	86	39	ρ1	ρ1	NOUN
ejpam-2058	86	40	+	+	NOUN
ejpam-2058	86	41	ρ2	ρ2	PROPN
ejpam-2058	86	42	m	m	VERB
ejpam-2058	86	43	�	�	PROPN
ejpam-2058	86	44	�	�	PROPN
ejpam-2058	86	45	�	�	PROPN
ejpam-2058	86	46	∆r	∆r	PROPN
ejpam-2058	86	47	yk	yk	PROPN
ejpam-2058	86	48	,	,	PUNCT
ejpam-2058	86	49	l	l	PROPN
ejpam-2058	86	50	�	�	PROPN
ejpam-2058	86	51	�	�	PROPN
ejpam-2058	86	52	ρ2	ρ2	PROPN
ejpam-2058	86	53	�	�	PROPN
ejpam-2058	86	54	�	�	PROPN
ejpam-2058	86	55	pk	pk	NOUN
ejpam-2058	86	56	,	,	PUNCT
ejpam-2058	86	57	l	l	NOUN
ejpam-2058	86	58	!	!	PUNCT
ejpam-2058	87	1	1	1	NUM
ejpam-2058	87	2	t	t	NOUN
ejpam-2058	87	3	by	by	ADP
ejpam-2058	87	4	minkowsky	minkowsky	PROPN
ejpam-2058	87	5	’s	’s	PART
ejpam-2058	87	6	inequality	inequality	NOUN
ejpam-2058	87	7	≤	≤	NUM
ejpam-2058	87	8	�	�	PROPN
ejpam-2058	87	9	ρ1	ρ1	NOUN
ejpam-2058	87	10	ρ1	ρ1	NOUN
ejpam-2058	87	11	+	+	SYM
ejpam-2058	87	12	ρ2	ρ2	ADJ
ejpam-2058	87	13	�	�	PROPN
ejpam-2058	87	14	sup	sup	NOUN
ejpam-2058	87	15	m	m	PROPN
ejpam-2058	87	16	,	,	PUNCT
ejpam-2058	87	17	n	n	PROPN
ejpam-2058	87	18	∞,∞	∞,∞	VERB
ejpam-2058	87	19	∑	∑	PROPN
ejpam-2058	87	20	k	k	PROPN
ejpam-2058	87	21	,	,	PUNCT
ejpam-2058	87	22	l=0,0	l=0,0	NOUN
ejpam-2058	87	23	am	be	AUX
ejpam-2058	87	24	,	,	PUNCT
ejpam-2058	87	25	n	n	CCONJ
ejpam-2058	87	26	,	,	PUNCT
ejpam-2058	87	27	k	k	NOUN
ejpam-2058	87	28	,	,	PUNCT
ejpam-2058	87	29	l	l	PROPN
ejpam-2058	87	30	�	�	PROPN
ejpam-2058	87	31	m	m	PROPN
ejpam-2058	87	32	�	�	PROPN
ejpam-2058	87	33	�	�	PROPN
ejpam-2058	87	34	�	�	PROPN
ejpam-2058	87	35	∆r	∆r	NOUN
ejpam-2058	87	36	xk	xk	PROPN
ejpam-2058	87	37	,	,	PUNCT
ejpam-2058	87	38	l	l	PROPN
ejpam-2058	87	39	�	�	PROPN
ejpam-2058	87	40	�	�	PROPN
ejpam-2058	87	41	ρ1	ρ1	PROPN
ejpam-2058	87	42	�	�	PROPN
ejpam-2058	87	43	�	�	PROPN
ejpam-2058	87	44	pk	pk	NOUN
ejpam-2058	87	45	,	,	PUNCT
ejpam-2058	87	46	l	l	NOUN
ejpam-2058	87	47	!	!	PUNCT
ejpam-2058	88	1	1	1	NUM
ejpam-2058	88	2	t	t	NOUN
ejpam-2058	88	3	+	+	CCONJ
ejpam-2058	88	4	�	�	PROPN
ejpam-2058	88	5	ρ2	ρ2	PROPN
ejpam-2058	88	6	ρ1	ρ1	NOUN
ejpam-2058	88	7	+	+	NOUN
ejpam-2058	88	8	ρ2	ρ2	ADJ
ejpam-2058	88	9	�	�	PROPN
ejpam-2058	88	10	sup	sup	NOUN
ejpam-2058	88	11	m	m	PROPN
ejpam-2058	88	12	,	,	PUNCT
ejpam-2058	88	13	n	n	PROPN
ejpam-2058	88	14	∞,∞	∞,∞	VERB
ejpam-2058	88	15	∑	∑	PROPN
ejpam-2058	88	16	k	k	PROPN
ejpam-2058	88	17	,	,	PUNCT
ejpam-2058	88	18	l=0,0	l=0,0	NOUN
ejpam-2058	88	19	am	be	AUX
ejpam-2058	88	20	,	,	PUNCT
ejpam-2058	88	21	n	n	CCONJ
ejpam-2058	88	22	,	,	PUNCT
ejpam-2058	88	23	k	k	NOUN
ejpam-2058	88	24	,	,	PUNCT
ejpam-2058	88	25	l	l	PROPN
ejpam-2058	88	26	�	�	PROPN
ejpam-2058	88	27	m	m	PROPN
ejpam-2058	88	28	�	�	PROPN
ejpam-2058	88	29	�	�	PROPN
ejpam-2058	88	30	�	�	PROPN
ejpam-2058	88	31	∆r	∆r	PROPN
ejpam-2058	88	32	yk	yk	PROPN
ejpam-2058	88	33	,	,	PUNCT
ejpam-2058	88	34	l	l	PROPN
ejpam-2058	88	35	�	�	PROPN
ejpam-2058	88	36	�	�	PROPN
ejpam-2058	88	37	ρ2	ρ2	PROPN
ejpam-2058	88	38	�	�	PROPN
ejpam-2058	88	39	�	�	PROPN
ejpam-2058	88	40	pk	pk	NOUN
ejpam-2058	88	41	,	,	PUNCT
ejpam-2058	88	42	l	l	NOUN
ejpam-2058	88	43	!	!	PUNCT
ejpam-2058	89	1	1	1	NUM
ejpam-2058	89	2	t	t	NOUN
ejpam-2058	89	3	≤	≤	NUM
ejpam-2058	89	4	1	1	NUM
ejpam-2058	89	5	.	.	PUNCT
ejpam-2058	90	1	now	now	ADV
ejpam-2058	90	2	g	g	PROPN
ejpam-2058	90	3	�	�	PROPN
ejpam-2058	90	4	�	�	PROPN
ejpam-2058	90	5	xk	xk	PROPN
ejpam-2058	90	6	,	,	PUNCT
ejpam-2058	90	7	l	l	PROPN
ejpam-2058	90	8	�	�	PROPN
ejpam-2058	90	9	+	+	CCONJ
ejpam-2058	90	10	�	�	PROPN
ejpam-2058	90	11	yk	yk	PROPN
ejpam-2058	90	12	,	,	PUNCT
ejpam-2058	90	13	l	l	PROPN
ejpam-2058	90	14	�	�	PROPN
ejpam-2058	90	15	�	�	PROPN
ejpam-2058	90	16	=	=	SYM
ejpam-2058	90	17	r	r	NOUN
ejpam-2058	90	18	∑	∑	PUNCT
ejpam-2058	90	19	k=1	k=1	X
ejpam-2058	90	20	�	�	PROPN
ejpam-2058	90	21	|xk,1|+	|xk,1|+	PART
ejpam-2058	90	22	|yk,1|	|yk,1|	PROPN
ejpam-2058	90	23	�	�	NOUN
ejpam-2058	90	24	+	+	CCONJ
ejpam-2058	90	25	r	r	NOUN
ejpam-2058	90	26	∑	∑	NOUN
ejpam-2058	90	27	l=1	l=1	PROPN
ejpam-2058	90	28	�	�	NOUN
ejpam-2058	90	29	|x1,l	|x1,l	PROPN
ejpam-2058	90	30	|+	|+	NOUN
ejpam-2058	90	31	|y1,l	|y1,l	PROPN
ejpam-2058	90	32	|	|	CCONJ
ejpam-2058	90	33	�	�	PROPN
ejpam-2058	90	34	+	+	CCONJ
ejpam-2058	90	35	inf	inf	ADJ
ejpam-2058	90	36			PROPN
ejpam-2058	90	37			PROPN
ejpam-2058	90	38			PROPN
ejpam-2058	90	39	ρ	ρ	PROPN
ejpam-2058	90	40	pk	pk	PROPN
ejpam-2058	90	41	,	,	PUNCT
ejpam-2058	90	42	l	l	PROPN
ejpam-2058	90	43	t	t	NOUN
ejpam-2058	90	44	>	>	X
ejpam-2058	90	45	0	0	PUNCT
ejpam-2058	90	46	:	:	PUNCT
ejpam-2058	90	47	sup	sup	NOUN
ejpam-2058	90	48	m	m	PROPN
ejpam-2058	90	49	,	,	PUNCT
ejpam-2058	90	50	n	n	PROPN
ejpam-2058	90	51	∞,∞	∞,∞	VERB
ejpam-2058	90	52	∑	∑	PROPN
ejpam-2058	90	53	k	k	PROPN
ejpam-2058	90	54	,	,	PUNCT
ejpam-2058	90	55	l=0,0	l=0,0	NOUN
ejpam-2058	90	56	am	be	AUX
ejpam-2058	90	57	,	,	PUNCT
ejpam-2058	90	58	n	n	CCONJ
ejpam-2058	90	59	,	,	PUNCT
ejpam-2058	90	60	k	k	NOUN
ejpam-2058	90	61	,	,	PUNCT
ejpam-2058	90	62	l	l	PROPN
ejpam-2058	90	63	�	�	PROPN
ejpam-2058	90	64	m	m	PROPN
ejpam-2058	90	65	�	�	PROPN
ejpam-2058	90	66	�	�	PROPN
ejpam-2058	90	67	�	�	PROPN
ejpam-2058	90	68	∆r	∆r	PROPN
ejpam-2058	90	69	�	�	PROPN
ejpam-2058	90	70	xk	xk	PROPN
ejpam-2058	90	71	,	,	PUNCT
ejpam-2058	90	72	l	l	PROPN
ejpam-2058	91	1	+	+	CCONJ
ejpam-2058	91	2	yk	yk	PROPN
ejpam-2058	91	3	,	,	PUNCT
ejpam-2058	91	4	l	l	PROPN
ejpam-2058	91	5	�	�	PROPN
ejpam-2058	91	6	�	�	PROPN
ejpam-2058	91	7	�	�	PROPN
ejpam-2058	91	8	ρ	ρ	PROPN
ejpam-2058	91	9	�	�	PROPN
ejpam-2058	91	10	�	�	PROPN
ejpam-2058	91	11	pk	pk	NOUN
ejpam-2058	91	12	,	,	PUNCT
ejpam-2058	91	13	l	l	NOUN
ejpam-2058	91	14	!	!	PUNCT
ejpam-2058	92	1	1	1	NUM
ejpam-2058	92	2	t	t	NOUN
ejpam-2058	92	3	≤	≤	NUM
ejpam-2058	92	4	1	1	NUM
ejpam-2058	92	5			PROPN
ejpam-2058	92	6			PROPN
ejpam-2058	92	7			NOUN
ejpam-2058	92	8	≤	≤	ADJ
ejpam-2058	92	9	r	r	NOUN
ejpam-2058	92	10	∑	∑	PUNCT
ejpam-2058	92	11	k=1	k=1	NOUN
ejpam-2058	92	12	|xk,1|+	|xk,1|+	PUNCT
ejpam-2058	93	1	r	r	VERB
ejpam-2058	93	2	∑	∑	PUNCT
ejpam-2058	93	3	k=1	k=1	PROPN
ejpam-2058	93	4	|yk,1|+	|yk,1|+	PUNCT
ejpam-2058	94	1	r	r	NOUN
ejpam-2058	94	2	∑	∑	PUNCT
ejpam-2058	94	3	l=1	l=1	PROPN
ejpam-2058	94	4	|x1,l	|x1,l	NUM
ejpam-2058	94	5	|+	|+	NOUN
ejpam-2058	94	6	r	r	NOUN
ejpam-2058	94	7	∑	∑	PROPN
ejpam-2058	94	8	l=1	l=1	PROPN
ejpam-2058	94	9	|y1,l	|y1,l	NUM
ejpam-2058	94	10	|	|	ADV
ejpam-2058	94	11	+	+	CCONJ
ejpam-2058	94	12	inf	inf	ADJ
ejpam-2058	94	13			NOUN
ejpam-2058	94	14			PROPN
ejpam-2058	94	15			PROPN
ejpam-2058	94	16	ρ	ρ	PROPN
ejpam-2058	94	17	pk	pk	PROPN
ejpam-2058	94	18	,	,	PUNCT
ejpam-2058	94	19	l	l	PROPN
ejpam-2058	94	20	t	t	NOUN
ejpam-2058	94	21	1	1	NUM
ejpam-2058	94	22	>	>	X
ejpam-2058	94	23	0	0	NUM
ejpam-2058	94	24	:	:	PUNCT
ejpam-2058	94	25	sup	sup	NOUN
ejpam-2058	94	26	m	m	PROPN
ejpam-2058	94	27	,	,	PUNCT
ejpam-2058	94	28	n	n	PROPN
ejpam-2058	94	29	∞,∞	∞,∞	VERB
ejpam-2058	94	30	∑	∑	PROPN
ejpam-2058	94	31	k	k	PROPN
ejpam-2058	94	32	,	,	PUNCT
ejpam-2058	94	33	l=0,0	l=0,0	NOUN
ejpam-2058	94	34	am	be	AUX
ejpam-2058	94	35	,	,	PUNCT
ejpam-2058	94	36	n	n	CCONJ
ejpam-2058	94	37	,	,	PUNCT
ejpam-2058	94	38	k	k	NOUN
ejpam-2058	94	39	,	,	PUNCT
ejpam-2058	94	40	l	l	PROPN
ejpam-2058	94	41	�	�	PROPN
ejpam-2058	94	42	m	m	PROPN
ejpam-2058	94	43	�	�	PROPN
ejpam-2058	94	44	�	�	PROPN
ejpam-2058	94	45	�	�	PROPN
ejpam-2058	94	46	∆r	∆r	NOUN
ejpam-2058	94	47	xk	xk	PROPN
ejpam-2058	94	48	,	,	PUNCT
ejpam-2058	94	49	l	l	PROPN
ejpam-2058	94	50	�	�	PROPN
ejpam-2058	94	51	�	�	PROPN
ejpam-2058	94	52	ρ1	ρ1	PROPN
ejpam-2058	94	53	�	�	PROPN
ejpam-2058	94	54	�	�	PROPN
ejpam-2058	94	55	pk	pk	NOUN
ejpam-2058	94	56	,	,	PUNCT
ejpam-2058	94	57	l	l	NOUN
ejpam-2058	94	58	!	!	PUNCT
ejpam-2058	95	1	1	1	NUM
ejpam-2058	95	2	t	t	NOUN
ejpam-2058	95	3			PROPN
ejpam-2058	96	1			PROPN
ejpam-2058	96	2			NOUN
ejpam-2058	96	3	+	+	CCONJ
ejpam-2058	96	4	inf	inf	ADJ
ejpam-2058	96	5			NOUN
ejpam-2058	96	6			PROPN
ejpam-2058	96	7			PROPN
ejpam-2058	96	8	ρ	ρ	PROPN
ejpam-2058	96	9	pk	pk	PROPN
ejpam-2058	96	10	,	,	PUNCT
ejpam-2058	96	11	l	l	PROPN
ejpam-2058	96	12	t	t	NOUN
ejpam-2058	96	13	2	2	NUM
ejpam-2058	96	14	>	>	X
ejpam-2058	96	15	0	0	NUM
ejpam-2058	96	16	:	:	PUNCT
ejpam-2058	96	17	sup	sup	NOUN
ejpam-2058	96	18	m	m	PROPN
ejpam-2058	96	19	,	,	PUNCT
ejpam-2058	96	20	n	n	PROPN
ejpam-2058	96	21	∞,∞	∞,∞	VERB
ejpam-2058	96	22	∑	∑	PROPN
ejpam-2058	96	23	k	k	PROPN
ejpam-2058	96	24	,	,	PUNCT
ejpam-2058	96	25	l=0,0	l=0,0	NOUN
ejpam-2058	96	26	am	be	AUX
ejpam-2058	96	27	,	,	PUNCT
ejpam-2058	96	28	n	n	CCONJ
ejpam-2058	96	29	,	,	PUNCT
ejpam-2058	96	30	k	k	NOUN
ejpam-2058	96	31	,	,	PUNCT
ejpam-2058	96	32	l	l	PROPN
ejpam-2058	96	33	�	�	PROPN
ejpam-2058	96	34	m	m	PROPN
ejpam-2058	96	35	�	�	PROPN
ejpam-2058	96	36	�	�	PROPN
ejpam-2058	96	37	�	�	PROPN
ejpam-2058	96	38	∆r	∆r	PROPN
ejpam-2058	96	39	yk	yk	PROPN
ejpam-2058	96	40	,	,	PUNCT
ejpam-2058	96	41	l	l	PROPN
ejpam-2058	96	42	�	�	PROPN
ejpam-2058	96	43	�	�	PROPN
ejpam-2058	96	44	ρ2	ρ2	PROPN
ejpam-2058	96	45	�	�	PROPN
ejpam-2058	96	46	�	�	PROPN
ejpam-2058	96	47	pk	pk	NOUN
ejpam-2058	96	48	,	,	PUNCT
ejpam-2058	96	49	l	l	NOUN
ejpam-2058	96	50	!	!	PUNCT
ejpam-2058	97	1	1	1	NUM
ejpam-2058	97	2	t	t	NOUN
ejpam-2058	97	3			PROPN
ejpam-2058	97	4			PROPN
ejpam-2058	97	5			NOUN
ejpam-2058	97	6	=	=	PROPN
ejpam-2058	97	7	g	g	PROPN
ejpam-2058	97	8	�	�	PROPN
ejpam-2058	97	9	�	�	PROPN
ejpam-2058	97	10	xk	xk	PROPN
ejpam-2058	97	11	,	,	PUNCT
ejpam-2058	97	12	l	l	PROPN
ejpam-2058	97	13	�	�	PROPN
ejpam-2058	97	14	�	�	PROPN
ejpam-2058	97	15	+	+	CCONJ
ejpam-2058	97	16	g	g	PROPN
ejpam-2058	97	17	�	�	PROPN
ejpam-2058	97	18	�	�	PROPN
ejpam-2058	97	19	yk	yk	PROPN
ejpam-2058	97	20	,	,	PUNCT
ejpam-2058	97	21	l	l	PROPN
ejpam-2058	97	22	�	�	PROPN
ejpam-2058	97	23	�	�	PROPN
ejpam-2058	97	24	.	.	PUNCT
ejpam-2058	98	1	b.	b.	PROPN
ejpam-2058	98	2	hazarika	hazarika	PROPN
ejpam-2058	98	3	,	,	PUNCT
ejpam-2058	98	4	a.	a.	PROPN
ejpam-2058	98	5	esi	esi	PROPN
ejpam-2058	98	6	/	/	SYM
ejpam-2058	98	7	eur	eur	PROPN
ejpam-2058	98	8	.	.	PUNCT
ejpam-2058	99	1	j.	j.	PROPN
ejpam-2058	99	2	pure	pure	PROPN
ejpam-2058	99	3	appl	appl	PROPN
ejpam-2058	99	4	.	.	PROPN
ejpam-2058	99	5	math	math	PROPN
ejpam-2058	99	6	,	,	PUNCT
ejpam-2058	99	7	8	8	NUM
ejpam-2058	99	8	(	(	PUNCT
ejpam-2058	99	9	2015	2015	NUM
ejpam-2058	99	10	)	)	PUNCT
ejpam-2058	99	11	,	,	PUNCT
ejpam-2058	99	12	201	201	NUM
ejpam-2058	99	13	-	-	SYM
ejpam-2058	99	14	213	213	NUM
ejpam-2058	99	15	207	207	NUM
ejpam-2058	99	16	let	let	VERB
ejpam-2058	99	17	λ	λ	X
ejpam-2058	99	18	∈	∈	PROPN
ejpam-2058	99	19	c	c	NOUN
ejpam-2058	99	20	,	,	PUNCT
ejpam-2058	99	21	then	then	ADV
ejpam-2058	99	22	the	the	DET
ejpam-2058	99	23	continuity	continuity	NOUN
ejpam-2058	99	24	of	of	ADP
ejpam-2058	99	25	the	the	DET
ejpam-2058	99	26	product	product	NOUN
ejpam-2058	99	27	follows	follow	VERB
ejpam-2058	99	28	from	from	ADP
ejpam-2058	99	29	the	the	DET
ejpam-2058	99	30	following	follow	VERB
ejpam-2058	99	31	equality	equality	NOUN
ejpam-2058	99	32	:	:	PUNCT
ejpam-2058	99	33	g	g	PROPN
ejpam-2058	99	34	�	�	PROPN
ejpam-2058	99	35	λ	λ	PROPN
ejpam-2058	99	36	�	�	PROPN
ejpam-2058	99	37	xk	xk	PROPN
ejpam-2058	99	38	,	,	PUNCT
ejpam-2058	99	39	l	l	PROPN
ejpam-2058	99	40	�	�	PROPN
ejpam-2058	100	1	�	�	PROPN
ejpam-2058	100	2	=	=	SYM
ejpam-2058	100	3	r	r	NOUN
ejpam-2058	100	4	∑	∑	PUNCT
ejpam-2058	100	5	k=1	k=1	PROPN
ejpam-2058	101	1	|λxk,1|+	|λxk,1|+	NOUN
ejpam-2058	101	2	r	r	NOUN
ejpam-2058	101	3	∑	∑	PUNCT
ejpam-2058	101	4	l=1	l=1	PROPN
ejpam-2058	101	5	|λx1,l	|λx1,l	PROPN
ejpam-2058	101	6	|	|	ADV
ejpam-2058	101	7	+	+	CCONJ
ejpam-2058	101	8	inf	inf	ADJ
ejpam-2058	101	9			NOUN
ejpam-2058	101	10			PROPN
ejpam-2058	101	11			PROPN
ejpam-2058	101	12	ρ	ρ	PROPN
ejpam-2058	101	13	pk	pk	PROPN
ejpam-2058	101	14	,	,	PUNCT
ejpam-2058	101	15	l	l	PROPN
ejpam-2058	101	16	t	t	NOUN
ejpam-2058	101	17	>	>	X
ejpam-2058	101	18	0	0	PUNCT
ejpam-2058	101	19	:	:	PUNCT
ejpam-2058	101	20	sup	sup	NOUN
ejpam-2058	101	21	m	m	PROPN
ejpam-2058	101	22	,	,	PUNCT
ejpam-2058	101	23	n	n	PROPN
ejpam-2058	101	24	∞,∞	∞,∞	VERB
ejpam-2058	101	25	∑	∑	PROPN
ejpam-2058	101	26	k	k	PROPN
ejpam-2058	101	27	,	,	PUNCT
ejpam-2058	101	28	l=0,0	l=0,0	NOUN
ejpam-2058	101	29	am	be	AUX
ejpam-2058	101	30	,	,	PUNCT
ejpam-2058	101	31	n	n	CCONJ
ejpam-2058	101	32	,	,	PUNCT
ejpam-2058	101	33	k	k	NOUN
ejpam-2058	101	34	,	,	PUNCT
ejpam-2058	101	35	l	l	PROPN
ejpam-2058	101	36	�	�	PROPN
ejpam-2058	101	37	m	m	PROPN
ejpam-2058	101	38	�	�	PROPN
ejpam-2058	101	39	�	�	PROPN
ejpam-2058	101	40	�	�	PROPN
ejpam-2058	101	41	λ∆r	λ∆r	VERB
ejpam-2058	101	42	xk	xk	PROPN
ejpam-2058	101	43	,	,	PUNCT
ejpam-2058	101	44	l	l	PROPN
ejpam-2058	101	45	�	�	PROPN
ejpam-2058	101	46	�	�	PROPN
ejpam-2058	101	47	ρ	ρ	PROPN
ejpam-2058	101	48	�	�	PROPN
ejpam-2058	101	49	�	�	PROPN
ejpam-2058	101	50	pk	pk	NOUN
ejpam-2058	101	51	,	,	PUNCT
ejpam-2058	101	52	l	l	NOUN
ejpam-2058	101	53	!	!	PUNCT
ejpam-2058	102	1	1	1	NUM
ejpam-2058	102	2	t	t	NOUN
ejpam-2058	102	3	≤	≤	NUM
ejpam-2058	102	4	1,ρ	1,ρ	PROPN
ejpam-2058	102	5	>	>	X
ejpam-2058	102	6	0	0	NUM
ejpam-2058	103	1			PROPN
ejpam-2058	103	2			PROPN
ejpam-2058	103	3			NOUN
ejpam-2058	104	1	=	=	NUM
ejpam-2058	104	2	|λ|	|λ|	NOUN
ejpam-2058	104	3	r	r	NOUN
ejpam-2058	104	4	∑	∑	PUNCT
ejpam-2058	104	5	k=1	k=1	PROPN
ejpam-2058	104	6	|xk,1|+	|xk,1|+	PUNCT
ejpam-2058	105	1	|λ|	|λ|	NOUN
ejpam-2058	105	2	r	r	NOUN
ejpam-2058	105	3	∑	∑	PUNCT
ejpam-2058	105	4	l=1	l=1	PROPN
ejpam-2058	105	5	|x1,l	|x1,l	PROPN
ejpam-2058	105	6	|	|	ADV
ejpam-2058	105	7	+	+	CCONJ
ejpam-2058	105	8	inf	inf	ADJ
ejpam-2058	105	9			PROPN
ejpam-2058	105	10			PROPN
ejpam-2058	105	11			NOUN
ejpam-2058	105	12	(	(	PUNCT
ejpam-2058	105	13	|λ|	|λ|	NOUN
ejpam-2058	105	14	r	r	NOUN
ejpam-2058	105	15	)	)	PUNCT
ejpam-2058	105	16	pk	pk	NOUN
ejpam-2058	105	17	,	,	PUNCT
ejpam-2058	105	18	l	l	PROPN
ejpam-2058	105	19	t	t	NOUN
ejpam-2058	105	20	>	>	X
ejpam-2058	105	21	0	0	PUNCT
ejpam-2058	105	22	:	:	PUNCT
ejpam-2058	105	23	sup	sup	NOUN
ejpam-2058	105	24	m	m	PROPN
ejpam-2058	105	25	,	,	PUNCT
ejpam-2058	105	26	n	n	PROPN
ejpam-2058	105	27	∞,∞	∞,∞	VERB
ejpam-2058	105	28	∑	∑	PROPN
ejpam-2058	105	29	k	k	PROPN
ejpam-2058	105	30	,	,	PUNCT
ejpam-2058	105	31	l=0,0	l=0,0	NOUN
ejpam-2058	105	32	am	be	AUX
ejpam-2058	105	33	,	,	PUNCT
ejpam-2058	105	34	n	n	CCONJ
ejpam-2058	105	35	,	,	PUNCT
ejpam-2058	105	36	k	k	NOUN
ejpam-2058	105	37	,	,	PUNCT
ejpam-2058	105	38	l	l	PROPN
ejpam-2058	105	39	�	�	PROPN
ejpam-2058	105	40	m	m	PROPN
ejpam-2058	105	41	�	�	PROPN
ejpam-2058	105	42	�	�	PROPN
ejpam-2058	105	43	�	�	PROPN
ejpam-2058	105	44	λ∆r	λ∆r	VERB
ejpam-2058	105	45	xk	xk	PROPN
ejpam-2058	105	46	,	,	PUNCT
ejpam-2058	105	47	l	l	PROPN
ejpam-2058	105	48	�	�	PROPN
ejpam-2058	105	49	�	�	PROPN
ejpam-2058	105	50	ρ	ρ	PROPN
ejpam-2058	105	51	�	�	PROPN
ejpam-2058	105	52	�	�	PROPN
ejpam-2058	105	53	pk	pk	NOUN
ejpam-2058	105	54	,	,	PUNCT
ejpam-2058	105	55	l	l	NOUN
ejpam-2058	105	56	!	!	PUNCT
ejpam-2058	106	1	1	1	NUM
ejpam-2058	106	2	t	t	NOUN
ejpam-2058	106	3	≤	≤	NUM
ejpam-2058	106	4	1	1	NUM
ejpam-2058	106	5	,	,	PUNCT
ejpam-2058	106	6	r	r	NOUN
ejpam-2058	106	7	>	>	X
ejpam-2058	106	8	0	0	NUM
ejpam-2058	106	9			PROPN
ejpam-2058	106	10			PROPN
ejpam-2058	106	11			NOUN
ejpam-2058	106	12	=	=	SYM
ejpam-2058	106	13	|λ|	|λ|	PROPN
ejpam-2058	106	14	g	g	PROPN
ejpam-2058	106	15	�	�	PROPN
ejpam-2058	106	16	�	�	PROPN
ejpam-2058	106	17	xk	xk	PROPN
ejpam-2058	106	18	,	,	PUNCT
ejpam-2058	106	19	l	l	PROPN
ejpam-2058	106	20	�	�	PROPN
ejpam-2058	106	21	�	�	PROPN
ejpam-2058	106	22	where	where	SCONJ
ejpam-2058	106	23	1	1	NUM
ejpam-2058	106	24	r	r	NOUN
ejpam-2058	106	25	=	=	SYM
ejpam-2058	106	26	|λ|	|λ|	PROPN
ejpam-2058	106	27	ρ	ρ	NOUN
ejpam-2058	106	28	.	.	PUNCT
ejpam-2058	107	1	now	now	ADV
ejpam-2058	107	2	let	let	VERB
ejpam-2058	107	3	�	�	PROPN
ejpam-2058	107	4	x	x	SYM
ejpam-2058	107	5	s	s	PROPN
ejpam-2058	107	6	k	k	NOUN
ejpam-2058	107	7	,	,	PUNCT
ejpam-2058	107	8	l	l	PROPN
ejpam-2058	107	9	�	�	PROPN
ejpam-2058	107	10	be	be	AUX
ejpam-2058	107	11	a	a	DET
ejpam-2058	107	12	cauchy	cauchy	ADJ
ejpam-2058	107	13	sequence	sequence	NOUN
ejpam-2058	107	14	in	in	ADP
ejpam-2058	107	15	w2	w2	PROPN
ejpam-2058	107	16	∞	∞	PROPN
ejpam-2058	107	17	�	�	PROPN
ejpam-2058	108	1	a	a	PROPN
ejpam-2058	108	2	,	,	PUNCT
ejpam-2058	108	3	m	m	PROPN
ejpam-2058	108	4	,	,	PUNCT
ejpam-2058	108	5	p	p	PROPN
ejpam-2058	108	6	�	�	PROPN
ejpam-2058	108	7	(	(	PUNCT
ejpam-2058	108	8	∆r	∆r	NOUN
ejpam-2058	108	9	)	)	PUNCT
ejpam-2058	108	10	.	.	PUNCT
ejpam-2058	109	1	then	then	ADV
ejpam-2058	109	2	g	g	PROPN
ejpam-2058	109	3	�	�	PROPN
ejpam-2058	109	4	�	�	PROPN
ejpam-2058	109	5	x	x	SYM
ejpam-2058	109	6	s	s	PROPN
ejpam-2058	109	7	k	k	NOUN
ejpam-2058	109	8	,	,	PUNCT
ejpam-2058	109	9	l	l	NOUN
ejpam-2058	109	10	−	−	NOUN
ejpam-2058	109	11	x	x	SYM
ejpam-2058	109	12	t	t	PROPN
ejpam-2058	109	13	k	k	NOUN
ejpam-2058	109	14	,	,	PUNCT
ejpam-2058	109	15	l	l	PROPN
ejpam-2058	109	16	�	�	PROPN
ejpam-2058	109	17	�	�	PROPN
ejpam-2058	109	18	→	→	SYM
ejpam-2058	109	19	0	0	NUM
ejpam-2058	109	20	as	as	ADP
ejpam-2058	109	21	s	s	PROPN
ejpam-2058	109	22	,	,	PUNCT
ejpam-2058	109	23	t	t	PROPN
ejpam-2058	109	24	→∞.	→∞.	PUNCT
ejpam-2058	109	25	for	for	ADP
ejpam-2058	109	26	given	give	VERB
ejpam-2058	109	27	ǫ	ǫ	PRON
ejpam-2058	109	28	>	>	X
ejpam-2058	109	29	0	0	NUM
ejpam-2058	109	30	,	,	PUNCT
ejpam-2058	109	31	choose	choose	VERB
ejpam-2058	109	32	b	b	NOUN
ejpam-2058	109	33	>	>	PUNCT
ejpam-2058	109	34	0	0	PUNCT
ejpam-2058	110	1	and	and	CCONJ
ejpam-2058	110	2	xo	xo	PROPN
ejpam-2058	110	3	>	>	X
ejpam-2058	110	4	0	0	PUNCT
ejpam-2058	110	5	be	be	AUX
ejpam-2058	110	6	such	such	ADJ
ejpam-2058	110	7	that	that	SCONJ
ejpam-2058	110	8	ǫ	ǫ	PRON
ejpam-2058	110	9	bxo	bxo	VERB
ejpam-2058	110	10	>	>	X
ejpam-2058	110	11	0	0	PUNCT
ejpam-2058	110	12	and	and	CCONJ
ejpam-2058	110	13	m	m	AUX
ejpam-2058	110	14	�	�	PROPN
ejpam-2058	110	15	bxo	bxo	VERB
ejpam-2058	110	16	2	2	NUM
ejpam-2058	110	17	�	�	PROPN
ejpam-2058	110	18	≥	≥	PROPN
ejpam-2058	110	19	1	1	NUM
ejpam-2058	110	20	.	.	PUNCT
ejpam-2058	111	1	now	now	ADV
ejpam-2058	111	2	g	g	PROPN
ejpam-2058	111	3	�	�	PROPN
ejpam-2058	111	4	�	�	PROPN
ejpam-2058	111	5	x	x	SYM
ejpam-2058	111	6	s	s	PROPN
ejpam-2058	111	7	k	k	NOUN
ejpam-2058	111	8	,	,	PUNCT
ejpam-2058	111	9	l	l	NOUN
ejpam-2058	112	1	−	−	NOUN
ejpam-2058	112	2	x	x	SYM
ejpam-2058	112	3	t	t	PROPN
ejpam-2058	112	4	k	k	NOUN
ejpam-2058	112	5	,	,	PUNCT
ejpam-2058	112	6	l	l	PROPN
ejpam-2058	112	7	�	�	PROPN
ejpam-2058	112	8	�	�	PROPN
ejpam-2058	112	9	→	→	SYM
ejpam-2058	112	10	0	0	NUM
ejpam-2058	112	11	as	as	ADP
ejpam-2058	112	12	s	s	PROPN
ejpam-2058	112	13	,	,	PUNCT
ejpam-2058	112	14	t	t	PROPN
ejpam-2058	112	15	→∞	→∞	PROPN
ejpam-2058	112	16	implies	imply	VERB
ejpam-2058	112	17	that	that	SCONJ
ejpam-2058	112	18	there	there	PRON
ejpam-2058	112	19	exists	exist	VERB
ejpam-2058	112	20	no	no	DET
ejpam-2058	112	21	∈	∈	NOUN
ejpam-2058	112	22	n	n	PRON
ejpam-2058	112	23	such	such	ADJ
ejpam-2058	112	24	that	that	SCONJ
ejpam-2058	112	25	g	g	PROPN
ejpam-2058	112	26	�	�	PROPN
ejpam-2058	112	27	�	�	PROPN
ejpam-2058	112	28	x	x	SYM
ejpam-2058	112	29	s	s	PROPN
ejpam-2058	112	30	k	k	NOUN
ejpam-2058	112	31	,	,	PUNCT
ejpam-2058	112	32	l	l	NOUN
ejpam-2058	112	33	−	−	NOUN
ejpam-2058	112	34	x	x	SYM
ejpam-2058	112	35	t	t	PROPN
ejpam-2058	112	36	k	k	NOUN
ejpam-2058	112	37	,	,	PUNCT
ejpam-2058	112	38	l	l	PROPN
ejpam-2058	112	39	�	�	PROPN
ejpam-2058	112	40	�	�	PROPN
ejpam-2058	112	41	<	<	X
ejpam-2058	112	42	ǫ	ǫ	X
ejpam-2058	112	43	bxo	bxo	NOUN
ejpam-2058	112	44	for	for	ADP
ejpam-2058	112	45	all	all	DET
ejpam-2058	112	46	s	s	PROPN
ejpam-2058	112	47	,	,	PUNCT
ejpam-2058	112	48	t	t	PROPN
ejpam-2058	112	49	≥	≥	NOUN
ejpam-2058	112	50	no	no	INTJ
ejpam-2058	112	51	.	.	PUNCT
ejpam-2058	113	1	⇒	⇒	PROPN
ejpam-2058	113	2	r	r	NOUN
ejpam-2058	113	3	∑	∑	PROPN
ejpam-2058	113	4	k=1	k=1	PROPN
ejpam-2058	113	5	�	�	PROPN
ejpam-2058	113	6	�	�	PROPN
ejpam-2058	113	7	�	�	PROPN
ejpam-2058	113	8	x	x	SYM
ejpam-2058	113	9	s	s	PROPN
ejpam-2058	113	10	k,1	k,1	PROPN
ejpam-2058	113	11	−	−	PROPN
ejpam-2058	113	12	x	x	SYM
ejpam-2058	113	13	t	t	PROPN
ejpam-2058	113	14	k,1	k,1	PROPN
ejpam-2058	113	15	�	�	PROPN
ejpam-2058	113	16	�	�	PROPN
ejpam-2058	113	17	�	�	PROPN
ejpam-2058	113	18	+	+	NOUN
ejpam-2058	113	19	r	r	NOUN
ejpam-2058	113	20	∑	∑	PART
ejpam-2058	113	21	l=1	l=1	PROPN
ejpam-2058	113	22	�	�	PROPN
ejpam-2058	113	23	�	�	PROPN
ejpam-2058	113	24	�	�	PROPN
ejpam-2058	113	25	x	x	SYM
ejpam-2058	113	26	s	s	PROPN
ejpam-2058	113	27	1,l	1,l	PROPN
ejpam-2058	113	28	−	−	NOUN
ejpam-2058	113	29	x	x	SYM
ejpam-2058	113	30	t	t	PROPN
ejpam-2058	113	31	1,l	1,l	PROPN
ejpam-2058	113	32	�	�	PROPN
ejpam-2058	113	33	�	�	PROPN
ejpam-2058	113	34	�	�	PROPN
ejpam-2058	113	35	+	+	CCONJ
ejpam-2058	113	36	inf	inf	PROPN
ejpam-2058	113	37			PROPN
ejpam-2058	113	38			NOUN
ejpam-2058	113	39			PROPN
ejpam-2058	113	40			NOUN
ejpam-2058	113	41			PROPN
ejpam-2058	113	42			PROPN
ejpam-2058	113	43			PROPN
ejpam-2058	113	44	ρ	ρ	PROPN
ejpam-2058	113	45	pk	pk	PROPN
ejpam-2058	113	46	,	,	PUNCT
ejpam-2058	113	47	l	l	PROPN
ejpam-2058	113	48	t	t	NOUN
ejpam-2058	113	49	>	>	X
ejpam-2058	113	50	0	0	PUNCT
ejpam-2058	114	1	:	:	PUNCT
ejpam-2058	114	2	sup	sup	NOUN
ejpam-2058	114	3	m	m	PROPN
ejpam-2058	114	4	,	,	PUNCT
ejpam-2058	114	5	n	n	PRON
ejpam-2058	114	6			VERB
ejpam-2058	114	7			NOUN
ejpam-2058	114	8			NOUN
ejpam-2058	114	9	∞,∞	∞,∞	VERB
ejpam-2058	114	10	∑	∑	PROPN
ejpam-2058	114	11	k	k	PROPN
ejpam-2058	114	12	,	,	PUNCT
ejpam-2058	114	13	l=0,0	l=0,0	NOUN
ejpam-2058	114	14	am	be	AUX
ejpam-2058	114	15	,	,	PUNCT
ejpam-2058	114	16	n	n	CCONJ
ejpam-2058	114	17	,	,	PUNCT
ejpam-2058	114	18	k	k	NOUN
ejpam-2058	114	19	,	,	PUNCT
ejpam-2058	114	20	l	l	NOUN
ejpam-2058	114	21			PROPN
ejpam-2058	114	22			VERB
ejpam-2058	114	23	m	m	PROPN
ejpam-2058	114	24			PROPN
ejpam-2058	114	25			NOUN
ejpam-2058	114	26			PROPN
ejpam-2058	114	27	�	�	PROPN
ejpam-2058	114	28	�	�	PROPN
ejpam-2058	114	29	�	�	PROPN
ejpam-2058	114	30	∆r	∆r	NOUN
ejpam-2058	114	31	x	x	SYM
ejpam-2058	114	32	s	s	X
ejpam-2058	114	33	k	k	NOUN
ejpam-2058	114	34	,	,	PUNCT
ejpam-2058	114	35	l	l	PROPN
ejpam-2058	114	36	−∆r	−∆r	NUM
ejpam-2058	114	37	x	x	SYM
ejpam-2058	114	38	t	t	PROPN
ejpam-2058	114	39	k	k	NOUN
ejpam-2058	114	40	,	,	PUNCT
ejpam-2058	114	41	l	l	PROPN
ejpam-2058	114	42	�	�	PROPN
ejpam-2058	114	43	�	�	PROPN
ejpam-2058	114	44	�	�	PROPN
ejpam-2058	114	45	ρ	ρ	PROPN
ejpam-2058	114	46			PROPN
ejpam-2058	114	47			NOUN
ejpam-2058	114	48			PUNCT
ejpam-2058	115	1			PROPN
ejpam-2058	115	2			PROPN
ejpam-2058	115	3			PROPN
ejpam-2058	115	4	pk	pk	NOUN
ejpam-2058	115	5	,	,	PUNCT
ejpam-2058	115	6	l	l	NOUN
ejpam-2058	115	7			NOUN
ejpam-2058	115	8			NOUN
ejpam-2058	115	9			PUNCT
ejpam-2058	116	1	1	1	NUM
ejpam-2058	116	2	t	t	NOUN
ejpam-2058	116	3	leq1	leq1	PROPN
ejpam-2058	116	4			PROPN
ejpam-2058	116	5			PROPN
ejpam-2058	116	6			PROPN
ejpam-2058	116	7			PROPN
ejpam-2058	116	8			ADJ
ejpam-2058	116	9			ADJ
ejpam-2058	116	10			NOUN
ejpam-2058	116	11	<	<	X
ejpam-2058	116	12	ǫ	ǫ	PRON
ejpam-2058	116	13	bxo	bxo	NOUN
ejpam-2058	116	14	(	(	PUNCT
ejpam-2058	116	15	2	2	X
ejpam-2058	116	16	)	)	PUNCT
ejpam-2058	116	17	this	this	PRON
ejpam-2058	116	18	implies	imply	VERB
ejpam-2058	116	19	that	that	SCONJ
ejpam-2058	116	20	r	r	NOUN
ejpam-2058	116	21	∑	∑	ADV
ejpam-2058	116	22	k=1	k=1	PROPN
ejpam-2058	116	23	�	�	PROPN
ejpam-2058	116	24	�	�	PROPN
ejpam-2058	116	25	�	�	PROPN
ejpam-2058	116	26	x	x	SYM
ejpam-2058	116	27	s	s	PROPN
ejpam-2058	116	28	k,1	k,1	PROPN
ejpam-2058	116	29	−	−	PROPN
ejpam-2058	116	30	x	x	SYM
ejpam-2058	116	31	t	t	PROPN
ejpam-2058	116	32	k,1	k,1	PROPN
ejpam-2058	116	33	�	�	PROPN
ejpam-2058	116	34	�	�	PROPN
ejpam-2058	116	35	�	�	PROPN
ejpam-2058	116	36	+	+	NOUN
ejpam-2058	116	37	r	r	NOUN
ejpam-2058	116	38	∑	∑	PART
ejpam-2058	116	39	l=1	l=1	PROPN
ejpam-2058	116	40	�	�	PROPN
ejpam-2058	116	41	�	�	PROPN
ejpam-2058	116	42	�	�	PROPN
ejpam-2058	116	43	x	x	SYM
ejpam-2058	116	44	s	s	PROPN
ejpam-2058	116	45	1,l	1,l	PROPN
ejpam-2058	116	46	−	−	NOUN
ejpam-2058	116	47	x	x	SYM
ejpam-2058	116	48	t	t	PROPN
ejpam-2058	116	49	1,l	1,l	PROPN
ejpam-2058	116	50	�	�	PROPN
ejpam-2058	116	51	�	�	PROPN
ejpam-2058	116	52	�	�	PROPN
ejpam-2058	116	53	<	<	X
ejpam-2058	116	54	ǫ	ǫ	PROPN
ejpam-2058	116	55	,	,	PUNCT
ejpam-2058	116	56	f	f	PROPN
ejpam-2058	116	57	or	or	CCONJ
ejpam-2058	116	58	al	al	PROPN
ejpam-2058	116	59	l	l	PROPN
ejpam-2058	116	60	s	s	PROPN
ejpam-2058	116	61	,	,	PUNCT
ejpam-2058	116	62	t	t	PROPN
ejpam-2058	116	63	≥	≥	PROPN
ejpam-2058	116	64	n0	n0	PROPN
ejpam-2058	116	65	.	.	PUNCT
ejpam-2058	117	1	this	this	PRON
ejpam-2058	117	2	shows	show	VERB
ejpam-2058	117	3	that	that	SCONJ
ejpam-2058	117	4	�	�	PROPN
ejpam-2058	117	5	x	x	SYM
ejpam-2058	117	6	s	s	PROPN
ejpam-2058	117	7	k,1	k,1	PROPN
ejpam-2058	117	8	�	�	PROPN
ejpam-2058	117	9	,	,	PUNCT
ejpam-2058	117	10	�	�	PROPN
ejpam-2058	117	11	x	x	SYM
ejpam-2058	117	12	t	t	PROPN
ejpam-2058	117	13	1,l	1,l	PROPN
ejpam-2058	117	14	�	�	PROPN
ejpam-2058	117	15	are	be	AUX
ejpam-2058	117	16	cauchy	cauchy	ADJ
ejpam-2058	117	17	sequences	sequence	NOUN
ejpam-2058	117	18	of	of	ADP
ejpam-2058	117	19	real	real	ADJ
ejpam-2058	117	20	numbers	number	NOUN
ejpam-2058	117	21	.	.	PUNCT
ejpam-2058	118	1	as	as	SCONJ
ejpam-2058	118	2	the	the	DET
ejpam-2058	118	3	set	set	NOUN
ejpam-2058	118	4	of	of	ADP
ejpam-2058	118	5	real	real	ADJ
ejpam-2058	118	6	numbers	number	NOUN
ejpam-2058	118	7	is	be	AUX
ejpam-2058	118	8	complete	complete	ADJ
ejpam-2058	118	9	so	so	SCONJ
ejpam-2058	118	10	there	there	PRON
ejpam-2058	118	11	exists	exist	VERB
ejpam-2058	118	12	real	real	ADJ
ejpam-2058	118	13	numbers	number	NOUN
ejpam-2058	118	14	xk,1	xk,1	PROPN
ejpam-2058	118	15	,	,	PUNCT
ejpam-2058	118	16	x1,l	x1,l	PROPN
ejpam-2058	118	17	such	such	ADJ
ejpam-2058	118	18	that	that	SCONJ
ejpam-2058	118	19	lim	lim	PROPN
ejpam-2058	118	20	s→∞	s→∞	PROPN
ejpam-2058	118	21	x	x	SYM
ejpam-2058	118	22	s	s	NOUN
ejpam-2058	118	23	k,1	k,1	PROPN
ejpam-2058	118	24	=	=	PROPN
ejpam-2058	118	25	xk,1	xk,1	PROPN
ejpam-2058	118	26	and	and	CCONJ
ejpam-2058	118	27	lim	lim	PROPN
ejpam-2058	118	28	t→∞	t→∞	X
ejpam-2058	118	29	x	x	SYM
ejpam-2058	118	30	t	t	PROPN
ejpam-2058	118	31	1,l	1,l	PROPN
ejpam-2058	119	1	=	=	SYM
ejpam-2058	119	2	x1,l	x1,l	PROPN
ejpam-2058	119	3	.	.	PUNCT
ejpam-2058	120	1	b.	b.	PROPN
ejpam-2058	120	2	hazarika	hazarika	PROPN
ejpam-2058	120	3	,	,	PUNCT
ejpam-2058	120	4	a.	a.	PROPN
ejpam-2058	120	5	esi	esi	PROPN
ejpam-2058	120	6	/	/	SYM
ejpam-2058	120	7	eur	eur	PROPN
ejpam-2058	120	8	.	.	PUNCT
ejpam-2058	121	1	j.	j.	PROPN
ejpam-2058	121	2	pure	pure	PROPN
ejpam-2058	121	3	appl	appl	PROPN
ejpam-2058	121	4	.	.	PROPN
ejpam-2058	121	5	math	math	PROPN
ejpam-2058	121	6	,	,	PUNCT
ejpam-2058	121	7	8	8	NUM
ejpam-2058	121	8	(	(	PUNCT
ejpam-2058	121	9	2015	2015	NUM
ejpam-2058	121	10	)	)	PUNCT
ejpam-2058	121	11	,	,	PUNCT
ejpam-2058	121	12	201	201	NUM
ejpam-2058	121	13	-	-	SYM
ejpam-2058	121	14	213	213	NUM
ejpam-2058	121	15	208	208	NUM
ejpam-2058	121	16	now	now	ADV
ejpam-2058	121	17	from	from	ADP
ejpam-2058	121	18	0(2	0(2	NUM
ejpam-2058	121	19	)	)	PUNCT
ejpam-2058	121	20	we	we	PRON
ejpam-2058	121	21	have	have	VERB
ejpam-2058	121	22	,	,	PUNCT
ejpam-2058	121	23	m	m	VERB
ejpam-2058	121	24			NOUN
ejpam-2058	121	25			NOUN
ejpam-2058	121	26			PROPN
ejpam-2058	121	27	�	�	PROPN
ejpam-2058	121	28	�	�	PROPN
ejpam-2058	121	29	�	�	PROPN
ejpam-2058	121	30	∆r	∆r	NOUN
ejpam-2058	121	31	x	x	SYM
ejpam-2058	121	32	s	s	X
ejpam-2058	121	33	k	k	NOUN
ejpam-2058	121	34	,	,	PUNCT
ejpam-2058	121	35	l	l	PROPN
ejpam-2058	121	36	−∆r	−∆r	NUM
ejpam-2058	121	37	x	x	SYM
ejpam-2058	121	38	t	t	PROPN
ejpam-2058	121	39	k	k	NOUN
ejpam-2058	121	40	,	,	PUNCT
ejpam-2058	121	41	l	l	PROPN
ejpam-2058	121	42	�	�	PROPN
ejpam-2058	121	43	�	�	PROPN
ejpam-2058	121	44	�	�	PROPN
ejpam-2058	121	45	ρ	ρ	PROPN
ejpam-2058	121	46			PROPN
ejpam-2058	121	47			NOUN
ejpam-2058	121	48			PUNCT
ejpam-2058	122	1	≤	≤	ADJ
ejpam-2058	122	2	1≤	1≤	NUM
ejpam-2058	122	3	m	m	VERB
ejpam-2058	122	4	�	�	PROPN
ejpam-2058	122	5	bxo	bxo	VERB
ejpam-2058	122	6	2	2	NUM
ejpam-2058	122	7	�	�	PROPN
ejpam-2058	122	8	⇒	⇒	PROPN
ejpam-2058	122	9	�	�	PROPN
ejpam-2058	122	10	�	�	PROPN
ejpam-2058	122	11	�	�	PROPN
ejpam-2058	122	12	∆r	∆r	NOUN
ejpam-2058	122	13	x	x	SYM
ejpam-2058	122	14	s	s	X
ejpam-2058	122	15	k	k	NOUN
ejpam-2058	122	16	,	,	PUNCT
ejpam-2058	122	17	l	l	PROPN
ejpam-2058	122	18	−∆r	−∆r	NUM
ejpam-2058	122	19	x	x	SYM
ejpam-2058	122	20	t	t	PROPN
ejpam-2058	122	21	k	k	NOUN
ejpam-2058	122	22	,	,	PUNCT
ejpam-2058	122	23	l	l	PROPN
ejpam-2058	122	24	�	�	PROPN
ejpam-2058	122	25	�	�	PROPN
ejpam-2058	122	26	�	�	PROPN
ejpam-2058	122	27	g	g	PROPN
ejpam-2058	122	28	�	�	PROPN
ejpam-2058	122	29	�	�	PROPN
ejpam-2058	122	30	x	x	SYM
ejpam-2058	122	31	s	s	PROPN
ejpam-2058	122	32	k	k	NOUN
ejpam-2058	122	33	,	,	PUNCT
ejpam-2058	122	34	l	l	NOUN
ejpam-2058	122	35	−	−	NOUN
ejpam-2058	122	36	x	x	SYM
ejpam-2058	122	37	t	t	PROPN
ejpam-2058	122	38	k	k	NOUN
ejpam-2058	122	39	,	,	PUNCT
ejpam-2058	122	40	l	l	PROPN
ejpam-2058	122	41	�	�	PROPN
ejpam-2058	122	42	�	�	PROPN
ejpam-2058	122	43	≤	≤	PROPN
ejpam-2058	122	44	bxo	bxo	VERB
ejpam-2058	122	45	2	2	NUM
ejpam-2058	122	46	⇒	⇒	PROPN
ejpam-2058	122	47	�	�	PROPN
ejpam-2058	122	48	�	�	PROPN
ejpam-2058	122	49	�	�	PROPN
ejpam-2058	122	50	∆r	∆r	NOUN
ejpam-2058	122	51	x	x	SYM
ejpam-2058	122	52	s	s	X
ejpam-2058	122	53	k	k	NOUN
ejpam-2058	122	54	,	,	PUNCT
ejpam-2058	122	55	l	l	PROPN
ejpam-2058	122	56	−∆r	−∆r	NUM
ejpam-2058	122	57	x	x	SYM
ejpam-2058	122	58	t	t	PROPN
ejpam-2058	122	59	k	k	NOUN
ejpam-2058	122	60	,	,	PUNCT
ejpam-2058	122	61	l	l	PROPN
ejpam-2058	122	62	�	�	PROPN
ejpam-2058	122	63	�	�	PROPN
ejpam-2058	122	64	�	�	PROPN
ejpam-2058	122	65	<	<	X
ejpam-2058	122	66	bxo	bxo	NOUN
ejpam-2058	122	67	2	2	NUM
ejpam-2058	122	68	.	.	PUNCT
ejpam-2058	123	1	ǫ	ǫ	PRON
ejpam-2058	123	2	bxo	bxo	VERB
ejpam-2058	123	3	=	=	SYM
ejpam-2058	123	4	ǫ	ǫ	NOUN
ejpam-2058	123	5	2	2	NUM
ejpam-2058	123	6	.	.	PUNCT
ejpam-2058	124	1	this	this	PRON
ejpam-2058	124	2	implies	imply	VERB
ejpam-2058	124	3	that	that	SCONJ
ejpam-2058	124	4	�	�	PROPN
ejpam-2058	124	5	∆r	∆r	VERB
ejpam-2058	124	6	x	x	X
ejpam-2058	124	7	s	s	PROPN
ejpam-2058	124	8	k	k	NOUN
ejpam-2058	124	9	,	,	PUNCT
ejpam-2058	124	10	l	l	PROPN
ejpam-2058	124	11	�	�	PROPN
ejpam-2058	124	12	is	be	AUX
ejpam-2058	124	13	a	a	DET
ejpam-2058	124	14	cauchy	cauchy	ADJ
ejpam-2058	124	15	sequence	sequence	NOUN
ejpam-2058	124	16	of	of	ADP
ejpam-2058	124	17	real	real	ADJ
ejpam-2058	124	18	numbers	number	NOUN
ejpam-2058	124	19	.	.	PUNCT
ejpam-2058	125	1	let	let	VERB
ejpam-2058	125	2	lims→∞∆r	lims→∞∆r	PROPN
ejpam-2058	125	3	x	x	X
ejpam-2058	125	4	s	s	PROPN
ejpam-2058	125	5	k	k	NOUN
ejpam-2058	125	6	,	,	PUNCT
ejpam-2058	125	7	l	l	PROPN
ejpam-2058	125	8	=	=	SYM
ejpam-2058	125	9	zk	zk	PROPN
ejpam-2058	125	10	,	,	PUNCT
ejpam-2058	125	11	l	l	NOUN
ejpam-2058	125	12	for	for	ADP
ejpam-2058	125	13	all	all	DET
ejpam-2058	125	14	k	k	PROPN
ejpam-2058	125	15	,	,	PUNCT
ejpam-2058	125	16	l	l	PROPN
ejpam-2058	125	17	∈	∈	PROPN
ejpam-2058	125	18	n	n	ADV
ejpam-2058	125	19	.	.	PUNCT
ejpam-2058	126	1	let	let	VERB
ejpam-2058	126	2	k	k	NOUN
ejpam-2058	126	3	,	,	PUNCT
ejpam-2058	126	4	l	l	NOUN
ejpam-2058	126	5	=	=	SYM
ejpam-2058	126	6	1	1	NUM
ejpam-2058	126	7	,	,	PUNCT
ejpam-2058	126	8	we	we	PRON
ejpam-2058	126	9	have	have	VERB
ejpam-2058	126	10	lims→∞∆r	lims→∞∆r	NOUN
ejpam-2058	126	11	x	x	SYM
ejpam-2058	126	12	s	s	NOUN
ejpam-2058	126	13	1,1	1,1	NUM
ejpam-2058	126	14	=	=	SYM
ejpam-2058	126	15	lims→∞	lims→∞	VERB
ejpam-2058	126	16	r	r	NOUN
ejpam-2058	126	17	∑	∑	NOUN
ejpam-2058	126	18	i=0	i=0	PROPN
ejpam-2058	126	19	r	r	NOUN
ejpam-2058	126	20	∑	∑	PUNCT
ejpam-2058	126	21	j=0	j=0	PROPN
ejpam-2058	126	22	(	(	PUNCT
ejpam-2058	126	23	−1)i+	−1)i+	NOUN
ejpam-2058	126	24	j	j	PROPN
ejpam-2058	126	25	�	�	PROPN
ejpam-2058	127	1	r	r	NOUN
ejpam-2058	127	2	i	i	NOUN
ejpam-2058	127	3	�	�	VERB
ejpam-2058	127	4	�	�	PROPN
ejpam-2058	127	5	r	r	PROPN
ejpam-2058	127	6	j	j	PROPN
ejpam-2058	127	7	�	�	PROPN
ejpam-2058	127	8	x1+i,1	x1+i,1	PROPN
ejpam-2058	127	9	+	+	CCONJ
ejpam-2058	127	10	j	j	PROPN
ejpam-2058	127	11	=	=	SYM
ejpam-2058	127	12	z1,1	z1,1	PROPN
ejpam-2058	127	13	.	.	PUNCT
ejpam-2058	128	1	similarly	similarly	ADV
ejpam-2058	128	2	we	we	PRON
ejpam-2058	128	3	have	have	VERB
ejpam-2058	128	4	lims→∞∆r	lims→∞∆r	NOUN
ejpam-2058	128	5	x	x	SYM
ejpam-2058	128	6	s	s	PROPN
ejpam-2058	128	7	k	k	NOUN
ejpam-2058	128	8	,	,	PUNCT
ejpam-2058	128	9	l	l	NOUN
ejpam-2058	128	10	=	=	PUNCT
ejpam-2058	128	11	lims→∞	lims→∞	NOUN
ejpam-2058	128	12	x	x	SYM
ejpam-2058	128	13	s	s	PROPN
ejpam-2058	128	14	k	k	NOUN
ejpam-2058	128	15	,	,	PUNCT
ejpam-2058	128	16	l	l	PROPN
ejpam-2058	128	17	=	=	SYM
ejpam-2058	128	18	zk	zk	PROPN
ejpam-2058	128	19	,	,	PUNCT
ejpam-2058	128	20	l	l	PROPN
ejpam-2058	128	21	for	for	ADP
ejpam-2058	128	22	k	k	PROPN
ejpam-2058	128	23	,	,	PUNCT
ejpam-2058	128	24	l	l	NOUN
ejpam-2058	128	25	=	=	SYM
ejpam-2058	128	26	1,2	1,2	NUM
ejpam-2058	128	27	,	,	PUNCT
ejpam-2058	128	28	.	.	PUNCT
ejpam-2058	128	29	.	.	PUNCT
ejpam-2058	129	1	.	.	PUNCT
ejpam-2058	130	1	,	,	PUNCT
ejpam-2058	130	2	r.	r.	PROPN
ejpam-2058	130	3	thus	thus	ADV
ejpam-2058	130	4	we	we	PRON
ejpam-2058	130	5	have	have	VERB
ejpam-2058	130	6	lims→∞	lims→∞	NOUN
ejpam-2058	130	7	x	x	SYM
ejpam-2058	131	1	s	s	PART
ejpam-2058	131	2	1+r,1+r	1+r,1+r	NUM
ejpam-2058	131	3	exists	exist	VERB
ejpam-2058	131	4	.	.	PUNCT
ejpam-2058	132	1	let	let	VERB
ejpam-2058	132	2	lims→∞	lims→∞	PROPN
ejpam-2058	132	3	x	x	SYM
ejpam-2058	132	4	s	s	PART
ejpam-2058	132	5	1+r,1+r	1+r,1+r	NUM
ejpam-2058	132	6	=	=	SYM
ejpam-2058	132	7	x1+r,1+r	x1+r,1+r	X
ejpam-2058	132	8	.	.	PUNCT
ejpam-2058	133	1	proceeding	proceed	VERB
ejpam-2058	133	2	in	in	ADP
ejpam-2058	133	3	this	this	DET
ejpam-2058	133	4	way	way	NOUN
ejpam-2058	133	5	inductively	inductively	ADV
ejpam-2058	133	6	we	we	PRON
ejpam-2058	133	7	conclude	conclude	VERB
ejpam-2058	133	8	that	that	SCONJ
ejpam-2058	133	9	lims→∞	lims→∞	PROPN
ejpam-2058	133	10	x	x	SYM
ejpam-2058	133	11	s	s	PROPN
ejpam-2058	133	12	k	k	NOUN
ejpam-2058	133	13	,	,	PUNCT
ejpam-2058	133	14	l	l	NOUN
ejpam-2058	133	15	=	=	SYM
ejpam-2058	133	16	xk	xk	PROPN
ejpam-2058	133	17	,	,	PUNCT
ejpam-2058	133	18	l	l	NOUN
ejpam-2058	133	19	exists	exist	VERB
ejpam-2058	133	20	for	for	ADP
ejpam-2058	133	21	each	each	DET
ejpam-2058	133	22	k	k	NOUN
ejpam-2058	133	23	,	,	PUNCT
ejpam-2058	133	24	l	l	PROPN
ejpam-2058	133	25	∈	∈	PROPN
ejpam-2058	133	26	n.	n.	NOUN
ejpam-2058	133	27	using	use	VERB
ejpam-2058	133	28	continuity	continuity	NOUN
ejpam-2058	133	29	of	of	ADP
ejpam-2058	133	30	m	m	PROPN
ejpam-2058	133	31	,	,	PUNCT
ejpam-2058	133	32	we	we	PRON
ejpam-2058	133	33	have	have	VERB
ejpam-2058	133	34	lim	lim	PROPN
ejpam-2058	133	35	t→∞m	t→∞m	NOUN
ejpam-2058	133	36			PROPN
ejpam-2058	133	37			NOUN
ejpam-2058	133	38			PROPN
ejpam-2058	133	39	�	�	PROPN
ejpam-2058	133	40	�	�	PROPN
ejpam-2058	133	41	�	�	PROPN
ejpam-2058	133	42	∆r	∆r	NOUN
ejpam-2058	133	43	x	x	SYM
ejpam-2058	133	44	s	s	X
ejpam-2058	133	45	k	k	NOUN
ejpam-2058	133	46	,	,	PUNCT
ejpam-2058	133	47	l	l	PROPN
ejpam-2058	133	48	−∆r	−∆r	NUM
ejpam-2058	133	49	x	x	SYM
ejpam-2058	133	50	t	t	PROPN
ejpam-2058	133	51	k	k	NOUN
ejpam-2058	133	52	,	,	PUNCT
ejpam-2058	133	53	l	l	PROPN
ejpam-2058	133	54	�	�	PROPN
ejpam-2058	133	55	�	�	PROPN
ejpam-2058	133	56	�	�	PROPN
ejpam-2058	133	57	ρ	ρ	PROPN
ejpam-2058	133	58			PROPN
ejpam-2058	133	59			NOUN
ejpam-2058	133	60	≤	≤	ADP
ejpam-2058	133	61	1	1	NUM
ejpam-2058	133	62	⇒m	⇒m	NOUN
ejpam-2058	133	63			NOUN
ejpam-2058	133	64			NOUN
ejpam-2058	133	65			PROPN
ejpam-2058	133	66	�	�	PROPN
ejpam-2058	133	67	�	�	PROPN
ejpam-2058	133	68	�	�	PROPN
ejpam-2058	133	69	∆r	∆r	NOUN
ejpam-2058	133	70	x	x	SYM
ejpam-2058	133	71	s	s	X
ejpam-2058	133	72	k	k	NOUN
ejpam-2058	133	73	,	,	PUNCT
ejpam-2058	133	74	l	l	NOUN
ejpam-2058	133	75	−∆xk	−∆xk	NOUN
ejpam-2058	133	76	,	,	PUNCT
ejpam-2058	133	77	l	l	PROPN
ejpam-2058	133	78	�	�	PROPN
ejpam-2058	133	79	�	�	PROPN
ejpam-2058	133	80	�	�	PROPN
ejpam-2058	133	81	ρ	ρ	PROPN
ejpam-2058	133	82			PROPN
ejpam-2058	133	83			NOUN
ejpam-2058	133	84			PUNCT
ejpam-2058	134	1	≤	≤	ADV
ejpam-2058	134	2	1	1	NUM
ejpam-2058	134	3	.	.	PUNCT
ejpam-2058	135	1	let	let	VERB
ejpam-2058	135	2	s	s	PRON
ejpam-2058	135	3	≥	≥	VERB
ejpam-2058	135	4	no	no	INTJ
ejpam-2058	135	5	,	,	PUNCT
ejpam-2058	135	6	then	then	ADV
ejpam-2058	135	7	taking	take	VERB
ejpam-2058	135	8	the	the	DET
ejpam-2058	135	9	infimum	infimum	NOUN
ejpam-2058	135	10	of	of	ADP
ejpam-2058	135	11	such	such	ADJ
ejpam-2058	135	12	ρ′s	ρ′s	NOUN
ejpam-2058	135	13	we	we	PRON
ejpam-2058	135	14	have	have	VERB
ejpam-2058	135	15	g	g	PROPN
ejpam-2058	135	16	�	�	PROPN
ejpam-2058	135	17	�	�	PROPN
ejpam-2058	135	18	x	x	SYM
ejpam-2058	135	19	s	s	PROPN
ejpam-2058	135	20	k	k	NOUN
ejpam-2058	135	21	,	,	PUNCT
ejpam-2058	135	22	l	l	PROPN
ejpam-2058	136	1	−	−	PROPN
ejpam-2058	137	1	xk	xk	PROPN
ejpam-2058	137	2	,	,	PUNCT
ejpam-2058	137	3	l	l	PROPN
ejpam-2058	137	4	�	�	PROPN
ejpam-2058	137	5	�	�	PROPN
ejpam-2058	137	6	<	<	X
ejpam-2058	137	7	ǫ	ǫ	X
ejpam-2058	137	8	.	.	PUNCT
ejpam-2058	138	1	thus	thus	ADV
ejpam-2058	138	2	(	(	PUNCT
ejpam-2058	138	3	x	x	SYM
ejpam-2058	138	4	s	s	VERB
ejpam-2058	138	5	k	k	NOUN
ejpam-2058	138	6	,	,	PUNCT
ejpam-2058	138	7	l	l	PROPN
ejpam-2058	138	8	−	−	PROPN
ejpam-2058	138	9	xk	xk	PROPN
ejpam-2058	138	10	,	,	PUNCT
ejpam-2058	138	11	l	l	NOUN
ejpam-2058	138	12	)	)	PUNCT
ejpam-2058	138	13	∈	∈	PROPN
ejpam-2058	138	14	w2	w2	NOUN
ejpam-2058	138	15	∞	∞	PROPN
ejpam-2058	138	16	�	�	PROPN
ejpam-2058	138	17	a	a	PROPN
ejpam-2058	138	18	,	,	PUNCT
ejpam-2058	138	19	m	m	PROPN
ejpam-2058	138	20	,	,	PUNCT
ejpam-2058	138	21	p	p	PROPN
ejpam-2058	138	22	�	�	PROPN
ejpam-2058	138	23	(	(	PUNCT
ejpam-2058	138	24	∆r	∆r	NOUN
ejpam-2058	138	25	)	)	PUNCT
ejpam-2058	138	26	.	.	PUNCT
ejpam-2058	139	1	by	by	ADP
ejpam-2058	139	2	linearity	linearity	NOUN
ejpam-2058	139	3	of	of	ADP
ejpam-2058	139	4	the	the	DET
ejpam-2058	139	5	space	space	NOUN
ejpam-2058	139	6	w2	w2	NOUN
ejpam-2058	139	7	∞	∞	PROPN
ejpam-2058	139	8	�	�	PROPN
ejpam-2058	139	9	a	a	PROPN
ejpam-2058	139	10	,	,	PUNCT
ejpam-2058	139	11	m	m	PROPN
ejpam-2058	139	12	,	,	PUNCT
ejpam-2058	139	13	p	p	PROPN
ejpam-2058	139	14	�	�	PROPN
ejpam-2058	139	15	(	(	PUNCT
ejpam-2058	139	16	∆r	∆r	NOUN
ejpam-2058	139	17	)	)	PUNCT
ejpam-2058	139	18	we	we	PRON
ejpam-2058	139	19	have	have	VERB
ejpam-2058	139	20	�	�	PROPN
ejpam-2058	139	21	xk	xk	PROPN
ejpam-2058	139	22	,	,	PUNCT
ejpam-2058	139	23	l	l	PROPN
ejpam-2058	139	24	�	�	PROPN
ejpam-2058	139	25	∈	∈	PROPN
ejpam-2058	139	26	w2	w2	NOUN
ejpam-2058	139	27	∞	∞	PROPN
ejpam-2058	139	28	�	�	PROPN
ejpam-2058	139	29	a	a	PROPN
ejpam-2058	139	30	,	,	PUNCT
ejpam-2058	139	31	m	m	PROPN
ejpam-2058	139	32	,	,	PUNCT
ejpam-2058	139	33	p	p	PROPN
ejpam-2058	139	34	�	�	PROPN
ejpam-2058	139	35	(	(	PUNCT
ejpam-2058	139	36	∆r	∆r	NOUN
ejpam-2058	139	37	)	)	PUNCT
ejpam-2058	139	38	.	.	PUNCT
ejpam-2058	140	1	hence	hence	ADV
ejpam-2058	140	2	w2	w2	PROPN
ejpam-2058	140	3	∞	∞	PROPN
ejpam-2058	140	4	�	�	PROPN
ejpam-2058	140	5	a	a	PROPN
ejpam-2058	140	6	,	,	PUNCT
ejpam-2058	140	7	m	m	PROPN
ejpam-2058	140	8	,	,	PUNCT
ejpam-2058	140	9	p	p	PROPN
ejpam-2058	140	10	�	�	PROPN
ejpam-2058	140	11	(	(	PUNCT
ejpam-2058	140	12	∆r	∆r	NOUN
ejpam-2058	140	13	)	)	PUNCT
ejpam-2058	140	14	is	be	AUX
ejpam-2058	140	15	complete	complete	ADJ
ejpam-2058	140	16	space	space	NOUN
ejpam-2058	140	17	.	.	PUNCT
ejpam-2058	141	1	proposition	proposition	NOUN
ejpam-2058	141	2	1	1	NUM
ejpam-2058	141	3	.	.	PUNCT
ejpam-2058	142	1	(	(	PUNCT
ejpam-2058	142	2	a	a	X
ejpam-2058	142	3	)	)	PUNCT
ejpam-2058	142	4	w2	w2	NOUN
ejpam-2058	142	5	�	�	PROPN
ejpam-2058	142	6	a	a	PROPN
ejpam-2058	142	7	,	,	PUNCT
ejpam-2058	142	8	m	m	PROPN
ejpam-2058	142	9	,	,	PUNCT
ejpam-2058	142	10	p	p	PROPN
ejpam-2058	142	11	�	�	PROPN
ejpam-2058	142	12	(	(	PUNCT
ejpam-2058	142	13	∆r	∆r	NOUN
ejpam-2058	142	14	)	)	PUNCT
ejpam-2058	142	15	⊂	⊂	PROPN
ejpam-2058	142	16	w2	w2	PROPN
ejpam-2058	142	17	∞	∞	PROPN
ejpam-2058	142	18	�	�	PROPN
ejpam-2058	142	19	a	a	PRON
ejpam-2058	142	20	,	,	PUNCT
ejpam-2058	142	21	m	m	PROPN
ejpam-2058	142	22	,	,	PUNCT
ejpam-2058	142	23	p	p	PROPN
ejpam-2058	142	24	�	�	PROPN
ejpam-2058	142	25	(	(	PUNCT
ejpam-2058	142	26	∆r	∆r	NOUN
ejpam-2058	142	27	)	)	PUNCT
ejpam-2058	142	28	,	,	PUNCT
ejpam-2058	142	29	(	(	PUNCT
ejpam-2058	142	30	b	b	X
ejpam-2058	142	31	)	)	PUNCT
ejpam-2058	142	32	w2	w2	NOUN
ejpam-2058	142	33	o	o	PROPN
ejpam-2058	142	34	�	�	PROPN
ejpam-2058	142	35	a	a	PROPN
ejpam-2058	142	36	,	,	PUNCT
ejpam-2058	142	37	m	m	PROPN
ejpam-2058	142	38	,	,	PUNCT
ejpam-2058	142	39	p	p	PROPN
ejpam-2058	142	40	�	�	PROPN
ejpam-2058	142	41	(	(	PUNCT
ejpam-2058	142	42	∆r	∆r	NOUN
ejpam-2058	142	43	)	)	PUNCT
ejpam-2058	142	44	⊂	⊂	PROPN
ejpam-2058	142	45	w2	w2	PROPN
ejpam-2058	142	46	∞	∞	PROPN
ejpam-2058	142	47	�	�	PROPN
ejpam-2058	142	48	a	a	PRON
ejpam-2058	142	49	,	,	PUNCT
ejpam-2058	142	50	m	m	PROPN
ejpam-2058	142	51	,	,	PUNCT
ejpam-2058	142	52	p	p	PROPN
ejpam-2058	142	53	�	�	PROPN
ejpam-2058	142	54	(	(	PUNCT
ejpam-2058	142	55	∆r	∆r	NOUN
ejpam-2058	142	56	)	)	PUNCT
ejpam-2058	142	57	.	.	PUNCT
ejpam-2058	143	1	proof	proof	NOUN
ejpam-2058	143	2	.	.	PUNCT
ejpam-2058	144	1	the	the	DET
ejpam-2058	144	2	proof	proof	NOUN
ejpam-2058	144	3	is	be	AUX
ejpam-2058	144	4	easy	easy	ADJ
ejpam-2058	144	5	.	.	PUNCT
ejpam-2058	145	1	theorem	theorem	VERB
ejpam-2058	145	2	4	4	NUM
ejpam-2058	145	3	.	.	PUNCT
ejpam-2058	146	1	the	the	DET
ejpam-2058	146	2	spaces	space	NOUN
ejpam-2058	146	3	w2	w2	NOUN
ejpam-2058	146	4	o	o	PROPN
ejpam-2058	146	5	�	�	PROPN
ejpam-2058	146	6	a	a	PROPN
ejpam-2058	146	7	,	,	PUNCT
ejpam-2058	146	8	m	m	PROPN
ejpam-2058	146	9	,	,	PUNCT
ejpam-2058	146	10	p	p	PROPN
ejpam-2058	146	11	�	�	PROPN
ejpam-2058	146	12	(	(	PUNCT
ejpam-2058	146	13	∆r	∆r	NOUN
ejpam-2058	146	14	)	)	PUNCT
ejpam-2058	146	15	and	and	CCONJ
ejpam-2058	146	16	w2	w2	PROPN
ejpam-2058	146	17	�	�	PROPN
ejpam-2058	146	18	a	a	PROPN
ejpam-2058	146	19	,	,	PUNCT
ejpam-2058	146	20	m	m	PROPN
ejpam-2058	146	21	,	,	PUNCT
ejpam-2058	146	22	p	p	PROPN
ejpam-2058	146	23	�	�	PROPN
ejpam-2058	146	24	(	(	PUNCT
ejpam-2058	146	25	∆r	∆r	NOUN
ejpam-2058	146	26	)	)	PUNCT
ejpam-2058	146	27	are	be	AUX
ejpam-2058	146	28	nowhere	nowhere	ADV
ejpam-2058	146	29	dense	dense	ADJ
ejpam-2058	146	30	subsets	subset	NOUN
ejpam-2058	146	31	of	of	ADP
ejpam-2058	146	32	w2	w2	PROPN
ejpam-2058	146	33	∞	∞	PROPN
ejpam-2058	146	34	�	�	PROPN
ejpam-2058	146	35	a	a	PROPN
ejpam-2058	146	36	,	,	PUNCT
ejpam-2058	146	37	m	m	PROPN
ejpam-2058	146	38	,	,	PUNCT
ejpam-2058	146	39	p	p	PROPN
ejpam-2058	146	40	�	�	PROPN
ejpam-2058	146	41	(	(	PUNCT
ejpam-2058	146	42	∆r	∆r	NOUN
ejpam-2058	146	43	)	)	PUNCT
ejpam-2058	146	44	.	.	PUNCT
ejpam-2058	147	1	b.	b.	PROPN
ejpam-2058	147	2	hazarika	hazarika	PROPN
ejpam-2058	147	3	,	,	PUNCT
ejpam-2058	147	4	a.	a.	PROPN
ejpam-2058	147	5	esi	esi	PROPN
ejpam-2058	147	6	/	/	SYM
ejpam-2058	147	7	eur	eur	PROPN
ejpam-2058	147	8	.	.	PUNCT
ejpam-2058	148	1	j.	j.	PROPN
ejpam-2058	148	2	pure	pure	PROPN
ejpam-2058	148	3	appl	appl	PROPN
ejpam-2058	148	4	.	.	PROPN
ejpam-2058	148	5	math	math	PROPN
ejpam-2058	148	6	,	,	PUNCT
ejpam-2058	148	7	8	8	NUM
ejpam-2058	148	8	(	(	PUNCT
ejpam-2058	148	9	2015	2015	NUM
ejpam-2058	148	10	)	)	PUNCT
ejpam-2058	148	11	,	,	PUNCT
ejpam-2058	148	12	201	201	NUM
ejpam-2058	148	13	-	-	SYM
ejpam-2058	148	14	213	213	NUM
ejpam-2058	148	15	209	209	NUM
ejpam-2058	148	16	proof	proof	NOUN
ejpam-2058	148	17	.	.	PUNCT
ejpam-2058	149	1	the	the	DET
ejpam-2058	149	2	proof	proof	NOUN
ejpam-2058	149	3	is	be	AUX
ejpam-2058	149	4	clear	clear	ADJ
ejpam-2058	149	5	in	in	ADP
ejpam-2058	149	6	view	view	NOUN
ejpam-2058	149	7	of	of	ADP
ejpam-2058	149	8	theorem	theorem	ADJ
ejpam-2058	149	9	3	3	NUM
ejpam-2058	149	10	and	and	CCONJ
ejpam-2058	149	11	proposition	proposition	NOUN
ejpam-2058	149	12	1	1	NUM
ejpam-2058	149	13	.	.	PUNCT
ejpam-2058	150	1	theorem	theorem	NOUN
ejpam-2058	150	2	5	5	NUM
ejpam-2058	150	3	.	.	PUNCT
ejpam-2058	151	1	(	(	PUNCT
ejpam-2058	151	2	a	a	X
ejpam-2058	151	3	)	)	PUNCT
ejpam-2058	151	4	if	if	SCONJ
ejpam-2058	151	5	0	0	NUM
ejpam-2058	151	6	<	<	X
ejpam-2058	151	7	h=	h=	X
ejpam-2058	151	8	inf	inf	PROPN
ejpam-2058	151	9	pk	pk	PROPN
ejpam-2058	151	10	,	,	PUNCT
ejpam-2058	151	11	l	l	NOUN
ejpam-2058	151	12	<	<	X
ejpam-2058	151	13	pk	pk	PROPN
ejpam-2058	151	14	,	,	PUNCT
ejpam-2058	151	15	l	l	PROPN
ejpam-2058	151	16	≤	≤	NUM
ejpam-2058	151	17	1	1	NUM
ejpam-2058	151	18	,	,	PUNCT
ejpam-2058	151	19	then	then	ADV
ejpam-2058	151	20	w2	w2	PROPN
ejpam-2058	151	21	�	�	PROPN
ejpam-2058	151	22	a	a	PROPN
ejpam-2058	151	23	,	,	PUNCT
ejpam-2058	151	24	m	m	PROPN
ejpam-2058	151	25	,	,	PUNCT
ejpam-2058	151	26	p	p	PROPN
ejpam-2058	151	27	�	�	PROPN
ejpam-2058	151	28	(	(	PUNCT
ejpam-2058	151	29	∆r	∆r	NOUN
ejpam-2058	151	30	)	)	PUNCT
ejpam-2058	151	31	⊂	⊂	PROPN
ejpam-2058	151	32	w2	w2	NOUN
ejpam-2058	152	1	[	[	X
ejpam-2058	152	2	a	a	X
ejpam-2058	152	3	,	,	PUNCT
ejpam-2058	152	4	m	m	VERB
ejpam-2058	152	5	]	]	X
ejpam-2058	152	6	(	(	PUNCT
ejpam-2058	152	7	∆r	∆r	NOUN
ejpam-2058	152	8	)	)	PUNCT
ejpam-2058	152	9	.	.	PUNCT
ejpam-2058	153	1	(	(	PUNCT
ejpam-2058	153	2	b	b	X
ejpam-2058	153	3	)	)	PUNCT
ejpam-2058	153	4	if	if	SCONJ
ejpam-2058	153	5	1≤	1≤	NUM
ejpam-2058	153	6	pk	pk	NOUN
ejpam-2058	153	7	,	,	PUNCT
ejpam-2058	153	8	l	l	PROPN
ejpam-2058	153	9	≤	≤	NUM
ejpam-2058	153	10	sup	sup	NOUN
ejpam-2058	153	11	pk	pk	NOUN
ejpam-2058	153	12	,	,	PUNCT
ejpam-2058	153	13	l	l	NOUN
ejpam-2058	153	14	<	<	X
ejpam-2058	153	15	∞	∞	PROPN
ejpam-2058	153	16	,	,	PUNCT
ejpam-2058	153	17	then	then	ADV
ejpam-2058	153	18	w2	w2	NOUN
ejpam-2058	154	1	[	[	X
ejpam-2058	154	2	a	a	X
ejpam-2058	154	3	,	,	PUNCT
ejpam-2058	154	4	m	m	VERB
ejpam-2058	154	5	]	]	X
ejpam-2058	154	6	(	(	PUNCT
ejpam-2058	154	7	∆r	∆r	NOUN
ejpam-2058	154	8	)	)	PUNCT
ejpam-2058	154	9	⊂	⊂	PROPN
ejpam-2058	154	10	w2	w2	PROPN
ejpam-2058	154	11	�	�	PROPN
ejpam-2058	154	12	a	a	PROPN
ejpam-2058	154	13	,	,	PUNCT
ejpam-2058	154	14	m	m	PROPN
ejpam-2058	154	15	,	,	PUNCT
ejpam-2058	154	16	p	p	PROPN
ejpam-2058	154	17	�	�	PROPN
ejpam-2058	154	18	(	(	PUNCT
ejpam-2058	154	19	∆r	∆r	NOUN
ejpam-2058	154	20	)	)	PUNCT
ejpam-2058	154	21	.	.	PUNCT
ejpam-2058	155	1	proof	proof	NOUN
ejpam-2058	155	2	.	.	PUNCT
ejpam-2058	156	1	(	(	PUNCT
ejpam-2058	156	2	a	a	X
ejpam-2058	156	3	)	)	PUNCT
ejpam-2058	156	4	let	let	VERB
ejpam-2058	156	5	x	x	SYM
ejpam-2058	156	6	=	=	SYM
ejpam-2058	156	7	�	�	PROPN
ejpam-2058	156	8	xk	xk	PROPN
ejpam-2058	156	9	,	,	PUNCT
ejpam-2058	156	10	l	l	PROPN
ejpam-2058	156	11	�	�	PROPN
ejpam-2058	156	12	∈	∈	PROPN
ejpam-2058	156	13	w2	w2	PROPN
ejpam-2058	156	14	�	�	PROPN
ejpam-2058	156	15	a	a	PROPN
ejpam-2058	156	16	,	,	PUNCT
ejpam-2058	156	17	m	m	PROPN
ejpam-2058	156	18	,	,	PUNCT
ejpam-2058	156	19	p	p	PROPN
ejpam-2058	156	20	�	�	PROPN
ejpam-2058	156	21	(	(	PUNCT
ejpam-2058	156	22	∆r	∆r	NOUN
ejpam-2058	156	23	)	)	PUNCT
ejpam-2058	156	24	,	,	PUNCT
ejpam-2058	156	25	since	since	SCONJ
ejpam-2058	156	26	0	0	NUM
ejpam-2058	156	27	<	<	X
ejpam-2058	156	28	h	h	PROPN
ejpam-2058	156	29	=	=	PROPN
ejpam-2058	156	30	inf	inf	PROPN
ejpam-2058	156	31	pk	pk	PROPN
ejpam-2058	156	32	,	,	PUNCT
ejpam-2058	156	33	l	l	NOUN
ejpam-2058	156	34	<	<	X
ejpam-2058	156	35	pk	pk	PROPN
ejpam-2058	156	36	,	,	PUNCT
ejpam-2058	156	37	l	l	PROPN
ejpam-2058	156	38	≤	≤	NUM
ejpam-2058	156	39	1	1	NUM
ejpam-2058	156	40	,	,	PUNCT
ejpam-2058	156	41	we	we	PRON
ejpam-2058	156	42	obtain	obtain	VERB
ejpam-2058	156	43	the	the	DET
ejpam-2058	156	44	following	following	NOUN
ejpam-2058	156	45	:	:	PUNCT
ejpam-2058	156	46	∞,∞	∞,∞	PROPN
ejpam-2058	156	47	∑	∑	PROPN
ejpam-2058	156	48	k	k	PROPN
ejpam-2058	156	49	,	,	PUNCT
ejpam-2058	156	50	l=0,0	l=0,0	NOUN
ejpam-2058	156	51	am	be	AUX
ejpam-2058	156	52	,	,	PUNCT
ejpam-2058	156	53	n	n	CCONJ
ejpam-2058	156	54	,	,	PUNCT
ejpam-2058	156	55	k	k	NOUN
ejpam-2058	156	56	,	,	PUNCT
ejpam-2058	156	57	l	l	PROPN
ejpam-2058	156	58	m	m	PROPN
ejpam-2058	156	59	�	�	PROPN
ejpam-2058	156	60	�	�	PROPN
ejpam-2058	156	61	�	�	PROPN
ejpam-2058	156	62	∆r	∆r	NOUN
ejpam-2058	156	63	xk	xk	PROPN
ejpam-2058	156	64	,	,	PUNCT
ejpam-2058	156	65	l	l	NOUN
ejpam-2058	156	66	−	−	PROPN
ejpam-2058	156	67	l	l	X
ejpam-2058	156	68	�	�	PROPN
ejpam-2058	156	69	�	�	PROPN
ejpam-2058	156	70	ρ	ρ	PROPN
ejpam-2058	156	71	�	�	PROPN
ejpam-2058	156	72	≤	≤	PROPN
ejpam-2058	156	73	∞,∞	∞,∞	VERB
ejpam-2058	156	74	∑	∑	PROPN
ejpam-2058	156	75	k	k	PROPN
ejpam-2058	156	76	,	,	PUNCT
ejpam-2058	156	77	l=0,0	l=0,0	NOUN
ejpam-2058	156	78	am	be	AUX
ejpam-2058	156	79	,	,	PUNCT
ejpam-2058	156	80	n	n	CCONJ
ejpam-2058	156	81	,	,	PUNCT
ejpam-2058	156	82	k	k	NOUN
ejpam-2058	156	83	,	,	PUNCT
ejpam-2058	156	84	l	l	PROPN
ejpam-2058	156	85	�	�	PROPN
ejpam-2058	156	86	m	m	PROPN
ejpam-2058	156	87	�	�	PROPN
ejpam-2058	156	88	�	�	PROPN
ejpam-2058	156	89	�	�	PROPN
ejpam-2058	156	90	∆r	∆r	NOUN
ejpam-2058	156	91	xk	xk	PROPN
ejpam-2058	156	92	,	,	PUNCT
ejpam-2058	156	93	l	l	NOUN
ejpam-2058	156	94	−	−	PROPN
ejpam-2058	156	95	l	l	X
ejpam-2058	156	96	�	�	PROPN
ejpam-2058	156	97	�	�	PROPN
ejpam-2058	156	98	ρ	ρ	PROPN
ejpam-2058	156	99	�	�	PROPN
ejpam-2058	156	100	�	�	PROPN
ejpam-2058	156	101	pk	pk	NOUN
ejpam-2058	156	102	,	,	PUNCT
ejpam-2058	156	103	l	l	NOUN
ejpam-2058	156	104	thus	thus	ADV
ejpam-2058	156	105	x	x	X
ejpam-2058	156	106	=	=	SYM
ejpam-2058	156	107	�	�	PROPN
ejpam-2058	156	108	xk	xk	PROPN
ejpam-2058	156	109	,	,	PUNCT
ejpam-2058	156	110	l	l	PROPN
ejpam-2058	156	111	�	�	PROPN
ejpam-2058	156	112	∈	∈	PROPN
ejpam-2058	156	113	w2	w2	NOUN
ejpam-2058	156	114	[	[	X
ejpam-2058	156	115	a	a	X
ejpam-2058	156	116	,	,	PUNCT
ejpam-2058	156	117	m	m	VERB
ejpam-2058	156	118	]	]	X
ejpam-2058	156	119	(	(	PUNCT
ejpam-2058	156	120	∆r	∆r	NOUN
ejpam-2058	156	121	)	)	PUNCT
ejpam-2058	156	122	.	.	PUNCT
ejpam-2058	157	1	(	(	PUNCT
ejpam-2058	157	2	b	b	X
ejpam-2058	157	3	)	)	PUNCT
ejpam-2058	157	4	let	let	VERB
ejpam-2058	157	5	pk	pk	NOUN
ejpam-2058	157	6	,	,	PUNCT
ejpam-2058	157	7	l	l	NOUN
ejpam-2058	157	8	≥	≥	NOUN
ejpam-2058	157	9	1	1	NUM
ejpam-2058	157	10	for	for	ADP
ejpam-2058	157	11	each	each	DET
ejpam-2058	157	12	k	k	PROPN
ejpam-2058	157	13	,	,	PUNCT
ejpam-2058	157	14	l	l	PROPN
ejpam-2058	157	15	and	and	CCONJ
ejpam-2058	157	16	sup	sup	PROPN
ejpam-2058	157	17	pk	pk	NOUN
ejpam-2058	157	18	,	,	PUNCT
ejpam-2058	157	19	l	l	NOUN
ejpam-2058	157	20	<	<	X
ejpam-2058	157	21	∞	∞	PUNCT
ejpam-2058	157	22	and	and	CCONJ
ejpam-2058	157	23	let	let	VERB
ejpam-2058	157	24	x	x	SYM
ejpam-2058	157	25	=	=	SYM
ejpam-2058	157	26	�	�	PROPN
ejpam-2058	157	27	xk	xk	PROPN
ejpam-2058	157	28	,	,	PUNCT
ejpam-2058	157	29	l	l	PROPN
ejpam-2058	157	30	�	�	PROPN
ejpam-2058	157	31	∈	∈	PROPN
ejpam-2058	157	32	w2	w2	NOUN
ejpam-2058	157	33	[	[	X
ejpam-2058	157	34	a	a	X
ejpam-2058	157	35	,	,	PUNCT
ejpam-2058	157	36	m	m	VERB
ejpam-2058	157	37	]	]	X
ejpam-2058	157	38	(	(	PUNCT
ejpam-2058	157	39	∆r	∆r	NOUN
ejpam-2058	157	40	)	)	PUNCT
ejpam-2058	157	41	.	.	PUNCT
ejpam-2058	158	1	then	then	ADV
ejpam-2058	158	2	for	for	ADP
ejpam-2058	158	3	each	each	DET
ejpam-2058	158	4	0	0	NUM
ejpam-2058	158	5	<	<	X
ejpam-2058	158	6	ǫ	ǫ	X
ejpam-2058	158	7	<	<	X
ejpam-2058	158	8	1	1	NUM
ejpam-2058	158	9	there	there	ADV
ejpam-2058	158	10	exists	exist	VERB
ejpam-2058	158	11	a	a	DET
ejpam-2058	158	12	positive	positive	ADJ
ejpam-2058	158	13	integer	integer	NOUN
ejpam-2058	158	14	k	k	PROPN
ejpam-2058	158	15	such	such	ADJ
ejpam-2058	158	16	that	that	DET
ejpam-2058	158	17	∞,∞	∞,∞	PROPN
ejpam-2058	158	18	∑	∑	PROPN
ejpam-2058	158	19	k	k	PROPN
ejpam-2058	158	20	,	,	PUNCT
ejpam-2058	158	21	l=0,0	l=0,0	NOUN
ejpam-2058	158	22	am	be	AUX
ejpam-2058	158	23	,	,	PUNCT
ejpam-2058	158	24	n	n	CCONJ
ejpam-2058	158	25	,	,	PUNCT
ejpam-2058	158	26	k	k	NOUN
ejpam-2058	158	27	,	,	PUNCT
ejpam-2058	158	28	l	l	PROPN
ejpam-2058	158	29	m	m	PROPN
ejpam-2058	158	30	�	�	PROPN
ejpam-2058	158	31	�	�	PROPN
ejpam-2058	158	32	�	�	PROPN
ejpam-2058	158	33	∆r	∆r	NOUN
ejpam-2058	158	34	xk	xk	PROPN
ejpam-2058	158	35	,	,	PUNCT
ejpam-2058	158	36	l	l	NOUN
ejpam-2058	158	37	−	−	PROPN
ejpam-2058	158	38	l	l	X
ejpam-2058	158	39	�	�	PROPN
ejpam-2058	158	40	�	�	PROPN
ejpam-2058	158	41	ρ	ρ	PROPN
ejpam-2058	158	42	�	�	PROPN
ejpam-2058	158	43	≤	≤	PROPN
ejpam-2058	158	44	ǫ	ǫ	PRON
ejpam-2058	158	45	<	<	X
ejpam-2058	158	46	1	1	NUM
ejpam-2058	158	47	for	for	ADP
ejpam-2058	158	48	all	all	DET
ejpam-2058	158	49	n	n	CCONJ
ejpam-2058	158	50	,	,	PUNCT
ejpam-2058	158	51	m≥	m≥	PROPN
ejpam-2058	158	52	k	k	PROPN
ejpam-2058	158	53	.	.	PUNCT
ejpam-2058	159	1	this	this	PRON
ejpam-2058	159	2	implies	imply	VERB
ejpam-2058	159	3	that	that	SCONJ
ejpam-2058	159	4	∞,∞	∞,∞	PROPN
ejpam-2058	159	5	∑	∑	PROPN
ejpam-2058	159	6	k	k	PROPN
ejpam-2058	159	7	,	,	PUNCT
ejpam-2058	159	8	l=0,0	l=0,0	NOUN
ejpam-2058	159	9	am	be	AUX
ejpam-2058	159	10	,	,	PUNCT
ejpam-2058	159	11	n	n	CCONJ
ejpam-2058	159	12	,	,	PUNCT
ejpam-2058	159	13	k	k	NOUN
ejpam-2058	159	14	,	,	PUNCT
ejpam-2058	159	15	l	l	PROPN
ejpam-2058	159	16	�	�	PROPN
ejpam-2058	159	17	m	m	PROPN
ejpam-2058	159	18	�	�	PROPN
ejpam-2058	159	19	�	�	PROPN
ejpam-2058	159	20	�	�	PROPN
ejpam-2058	159	21	∆r	∆r	NOUN
ejpam-2058	159	22	xk	xk	PROPN
ejpam-2058	159	23	,	,	PUNCT
ejpam-2058	159	24	l	l	NOUN
ejpam-2058	159	25	−	−	PROPN
ejpam-2058	159	26	l	l	X
ejpam-2058	159	27	�	�	PROPN
ejpam-2058	159	28	�	�	PROPN
ejpam-2058	159	29	ρ	ρ	PROPN
ejpam-2058	159	30	�	�	PROPN
ejpam-2058	159	31	�	�	PROPN
ejpam-2058	159	32	pk	pk	NOUN
ejpam-2058	159	33	,	,	PUNCT
ejpam-2058	159	34	l	l	PROPN
ejpam-2058	159	35	≤	≤	NUM
ejpam-2058	159	36	∞,∞	∞,∞	VERB
ejpam-2058	159	37	∑	∑	PROPN
ejpam-2058	159	38	k	k	PROPN
ejpam-2058	159	39	,	,	PUNCT
ejpam-2058	159	40	l=0,0	l=0,0	NOUN
ejpam-2058	159	41	am	be	AUX
ejpam-2058	159	42	,	,	PUNCT
ejpam-2058	159	43	n	n	CCONJ
ejpam-2058	159	44	,	,	PUNCT
ejpam-2058	159	45	k	k	NOUN
ejpam-2058	159	46	,	,	PUNCT
ejpam-2058	159	47	l	l	PROPN
ejpam-2058	159	48	m	m	PROPN
ejpam-2058	159	49	�	�	PROPN
ejpam-2058	159	50	�	�	PROPN
ejpam-2058	159	51	�	�	PROPN
ejpam-2058	159	52	∆r	∆r	NOUN
ejpam-2058	159	53	xk	xk	PROPN
ejpam-2058	159	54	,	,	PUNCT
ejpam-2058	159	55	l	l	NOUN
ejpam-2058	159	56	−	−	PROPN
ejpam-2058	159	57	l	l	X
ejpam-2058	159	58	�	�	PROPN
ejpam-2058	159	59	�	�	PROPN
ejpam-2058	159	60	ρ	ρ	PROPN
ejpam-2058	159	61	�	�	PROPN
ejpam-2058	159	62	.	.	PUNCT
ejpam-2058	160	1	thus	thus	ADV
ejpam-2058	160	2	x	x	X
ejpam-2058	160	3	=	=	SYM
ejpam-2058	160	4	�	�	PROPN
ejpam-2058	160	5	xk	xk	PROPN
ejpam-2058	160	6	,	,	PUNCT
ejpam-2058	160	7	l	l	PROPN
ejpam-2058	160	8	�	�	PROPN
ejpam-2058	160	9	∈	∈	PROPN
ejpam-2058	160	10	w2	w2	PROPN
ejpam-2058	160	11	�	�	PROPN
ejpam-2058	160	12	a	a	PROPN
ejpam-2058	160	13	,	,	PUNCT
ejpam-2058	160	14	m	m	PROPN
ejpam-2058	160	15	,	,	PUNCT
ejpam-2058	160	16	p	p	PROPN
ejpam-2058	160	17	�	�	PROPN
ejpam-2058	160	18	(	(	PUNCT
ejpam-2058	160	19	∆r	∆r	NOUN
ejpam-2058	160	20	)	)	PUNCT
ejpam-2058	160	21	.	.	PUNCT
ejpam-2058	161	1	this	this	PRON
ejpam-2058	161	2	completes	complete	VERB
ejpam-2058	161	3	the	the	DET
ejpam-2058	161	4	proof	proof	NOUN
ejpam-2058	161	5	.	.	PUNCT
ejpam-2058	162	1	corollary	corollary	ADJ
ejpam-2058	162	2	1	1	NUM
ejpam-2058	162	3	.	.	PUNCT
ejpam-2058	163	1	let	let	VERB
ejpam-2058	163	2	a=	a=	VERB
ejpam-2058	163	3	(	(	PUNCT
ejpam-2058	163	4	c	c	NOUN
ejpam-2058	163	5	,	,	PUNCT
ejpam-2058	163	6	1	1	NUM
ejpam-2058	163	7	,	,	PUNCT
ejpam-2058	163	8	1	1	NUM
ejpam-2058	163	9	)	)	PUNCT
ejpam-2058	163	10	.	.	PUNCT
ejpam-2058	164	1	then	then	ADV
ejpam-2058	164	2	(	(	PUNCT
ejpam-2058	164	3	a	a	X
ejpam-2058	164	4	)	)	PUNCT
ejpam-2058	164	5	if	if	SCONJ
ejpam-2058	164	6	0	0	NUM
ejpam-2058	164	7	<	<	X
ejpam-2058	164	8	h=	h=	X
ejpam-2058	164	9	inf	inf	PROPN
ejpam-2058	164	10	pk	pk	PROPN
ejpam-2058	164	11	,	,	PUNCT
ejpam-2058	164	12	l	l	NOUN
ejpam-2058	164	13	<	<	X
ejpam-2058	164	14	pk	pk	PROPN
ejpam-2058	164	15	,	,	PUNCT
ejpam-2058	164	16	l	l	PROPN
ejpam-2058	164	17	≤	≤	NUM
ejpam-2058	164	18	1	1	NUM
ejpam-2058	164	19	,	,	PUNCT
ejpam-2058	164	20	then	then	ADV
ejpam-2058	164	21	w2	w2	PROPN
ejpam-2058	164	22	�	�	PROPN
ejpam-2058	164	23	m	m	PROPN
ejpam-2058	164	24	,	,	PUNCT
ejpam-2058	164	25	p	p	PROPN
ejpam-2058	164	26	�	�	PROPN
ejpam-2058	164	27	(	(	PUNCT
ejpam-2058	164	28	∆r	∆r	NOUN
ejpam-2058	164	29	)	)	PUNCT
ejpam-2058	164	30	⊂	⊂	PROPN
ejpam-2058	164	31	w2	w2	NOUN
ejpam-2058	164	32	[	[	X
ejpam-2058	164	33	m	m	X
ejpam-2058	164	34	]	]	X
ejpam-2058	164	35	(	(	PUNCT
ejpam-2058	164	36	∆r	∆r	NOUN
ejpam-2058	164	37	)	)	PUNCT
ejpam-2058	164	38	.	.	PUNCT
ejpam-2058	165	1	(	(	PUNCT
ejpam-2058	165	2	b	b	X
ejpam-2058	165	3	)	)	PUNCT
ejpam-2058	165	4	if	if	SCONJ
ejpam-2058	165	5	1≤	1≤	NUM
ejpam-2058	165	6	pk	pk	NOUN
ejpam-2058	165	7	,	,	PUNCT
ejpam-2058	165	8	l	l	PROPN
ejpam-2058	165	9	≤	≤	NUM
ejpam-2058	165	10	sup	sup	NOUN
ejpam-2058	165	11	pk	pk	NOUN
ejpam-2058	165	12	,	,	PUNCT
ejpam-2058	165	13	l	l	NOUN
ejpam-2058	165	14	<	<	X
ejpam-2058	165	15	∞	∞	PROPN
ejpam-2058	165	16	,	,	PUNCT
ejpam-2058	165	17	then	then	ADV
ejpam-2058	165	18	w2	w2	NOUN
ejpam-2058	166	1	[	[	X
ejpam-2058	166	2	m	m	X
ejpam-2058	166	3	]	]	X
ejpam-2058	166	4	(	(	PUNCT
ejpam-2058	166	5	∆r	∆r	NOUN
ejpam-2058	166	6	)	)	PUNCT
ejpam-2058	166	7	⊂	⊂	PROPN
ejpam-2058	166	8	w2	w2	PROPN
ejpam-2058	166	9	�	�	PROPN
ejpam-2058	166	10	m	m	PROPN
ejpam-2058	166	11	,	,	PUNCT
ejpam-2058	166	12	p	p	PROPN
ejpam-2058	166	13	�	�	PROPN
ejpam-2058	166	14	(	(	PUNCT
ejpam-2058	166	15	∆r	∆r	NOUN
ejpam-2058	166	16	)	)	PUNCT
ejpam-2058	166	17	.	.	PUNCT
ejpam-2058	167	1	b.	b.	PROPN
ejpam-2058	167	2	hazarika	hazarika	PROPN
ejpam-2058	167	3	,	,	PUNCT
ejpam-2058	167	4	a.	a.	PROPN
ejpam-2058	167	5	esi	esi	PROPN
ejpam-2058	167	6	/	/	SYM
ejpam-2058	167	7	eur	eur	PROPN
ejpam-2058	167	8	.	.	PUNCT
ejpam-2058	168	1	j.	j.	PROPN
ejpam-2058	168	2	pure	pure	PROPN
ejpam-2058	168	3	appl	appl	PROPN
ejpam-2058	168	4	.	.	PROPN
ejpam-2058	168	5	math	math	PROPN
ejpam-2058	168	6	,	,	PUNCT
ejpam-2058	168	7	8	8	NUM
ejpam-2058	168	8	(	(	PUNCT
ejpam-2058	168	9	2015	2015	NUM
ejpam-2058	168	10	)	)	PUNCT
ejpam-2058	168	11	,	,	PUNCT
ejpam-2058	168	12	201	201	NUM
ejpam-2058	168	13	-	-	SYM
ejpam-2058	168	14	213	213	NUM
ejpam-2058	168	15	210	210	NUM
ejpam-2058	168	16	theorem	theorem	NOUN
ejpam-2058	168	17	6	6	NUM
ejpam-2058	168	18	.	.	PUNCT
ejpam-2058	169	1	if	if	SCONJ
ejpam-2058	169	2	sup	sup	PROPN
ejpam-2058	169	3	pk	pk	NOUN
ejpam-2058	169	4	,	,	PUNCT
ejpam-2058	169	5	l	l	NOUN
ejpam-2058	169	6	pi	pi	NOUN
ejpam-2058	169	7	,	,	PUNCT
ejpam-2058	169	8	j	j	PROPN
ejpam-2058	169	9	<	<	X
ejpam-2058	169	10	∞	∞	PROPN
ejpam-2058	169	11	for	for	ADP
ejpam-2058	169	12	all	all	DET
ejpam-2058	169	13	k	k	PROPN
ejpam-2058	169	14	≥	≥	PROPN
ejpam-2058	169	15	i	i	PRON
ejpam-2058	169	16	,	,	PUNCT
ejpam-2058	169	17	l	l	PROPN
ejpam-2058	169	18	≥	≥	PROPN
ejpam-2058	169	19	j	j	NOUN
ejpam-2058	169	20	,	,	PUNCT
ejpam-2058	169	21	then	then	ADV
ejpam-2058	169	22	w2	w2	PROPN
ejpam-2058	169	23	�	�	PROPN
ejpam-2058	169	24	a	a	PROPN
ejpam-2058	169	25	,	,	PUNCT
ejpam-2058	169	26	m	m	PROPN
ejpam-2058	169	27	,	,	PUNCT
ejpam-2058	169	28	p	p	PROPN
ejpam-2058	169	29	�	�	PROPN
ejpam-2058	169	30	⊂	⊂	PROPN
ejpam-2058	169	31	w2	w2	PROPN
ejpam-2058	169	32	�	�	PROPN
ejpam-2058	169	33	a	a	PROPN
ejpam-2058	169	34	,	,	PUNCT
ejpam-2058	169	35	m	m	PROPN
ejpam-2058	169	36	,	,	PUNCT
ejpam-2058	169	37	p	p	PROPN
ejpam-2058	169	38	�	�	PROPN
ejpam-2058	169	39	(	(	PUNCT
ejpam-2058	169	40	∆r	∆r	NOUN
ejpam-2058	169	41	)	)	PUNCT
ejpam-2058	169	42	and	and	CCONJ
ejpam-2058	169	43	the	the	DET
ejpam-2058	169	44	inclusion	inclusion	NOUN
ejpam-2058	169	45	is	be	AUX
ejpam-2058	169	46	strict	strict	ADJ
ejpam-2058	169	47	,	,	PUNCT
ejpam-2058	169	48	where	where	SCONJ
ejpam-2058	169	49	w2	w2	PROPN
ejpam-2058	169	50	�	�	PROPN
ejpam-2058	169	51	a	a	PROPN
ejpam-2058	169	52	,	,	PUNCT
ejpam-2058	169	53	m	m	PROPN
ejpam-2058	169	54	,	,	PUNCT
ejpam-2058	169	55	p	p	PROPN
ejpam-2058	169	56	�	�	PROPN
ejpam-2058	169	57	=	=	PUNCT
ejpam-2058	169	58	(	(	PUNCT
ejpam-2058	169	59	x	x	SYM
ejpam-2058	169	60	=	=	SYM
ejpam-2058	169	61	�	�	PROPN
ejpam-2058	169	62	xk	xk	PROPN
ejpam-2058	169	63	,	,	PUNCT
ejpam-2058	169	64	l	l	PROPN
ejpam-2058	169	65	�	�	PROPN
ejpam-2058	169	66	∈	∈	PROPN
ejpam-2058	169	67	w2	w2	NOUN
ejpam-2058	169	68	:	:	PUNCT
ejpam-2058	169	69	p	p	PROPN
ejpam-2058	169	70	−	−	PROPN
ejpam-2058	169	71	lim	lim	PROPN
ejpam-2058	169	72	m	m	PROPN
ejpam-2058	169	73	,	,	PUNCT
ejpam-2058	169	74	n	n	PROPN
ejpam-2058	169	75	∞,∞	∞,∞	VERB
ejpam-2058	169	76	∑	∑	PROPN
ejpam-2058	169	77	k	k	PROPN
ejpam-2058	169	78	,	,	PUNCT
ejpam-2058	169	79	l=0,0	l=0,0	NOUN
ejpam-2058	169	80	am	be	AUX
ejpam-2058	169	81	,	,	PUNCT
ejpam-2058	169	82	n	n	CCONJ
ejpam-2058	169	83	,	,	PUNCT
ejpam-2058	169	84	k	k	NOUN
ejpam-2058	169	85	,	,	PUNCT
ejpam-2058	169	86	l	l	PROPN
ejpam-2058	169	87	�	�	PROPN
ejpam-2058	169	88	m	m	PROPN
ejpam-2058	169	89	�	�	PROPN
ejpam-2058	169	90	�	�	PROPN
ejpam-2058	169	91	�	�	PROPN
ejpam-2058	169	92	xk	xk	PROPN
ejpam-2058	169	93	,	,	PUNCT
ejpam-2058	169	94	l	l	NOUN
ejpam-2058	169	95	−	−	PROPN
ejpam-2058	169	96	l	l	X
ejpam-2058	169	97	�	�	PROPN
ejpam-2058	169	98	�	�	PROPN
ejpam-2058	169	99	ρ	ρ	PROPN
ejpam-2058	169	100	�	�	PROPN
ejpam-2058	169	101	�	�	PROPN
ejpam-2058	169	102	pk	pk	NOUN
ejpam-2058	169	103	,	,	PUNCT
ejpam-2058	169	104	l	l	NOUN
ejpam-2058	169	105	=	=	SYM
ejpam-2058	169	106	0	0	NUM
ejpam-2058	169	107	,	,	PUNCT
ejpam-2058	169	108	for	for	ADP
ejpam-2058	169	109	some	some	DET
ejpam-2058	169	110	ρ	ρ	NOUN
ejpam-2058	169	111	>	>	X
ejpam-2058	169	112	0	0	PROPN
ejpam-2058	169	113	and	and	CCONJ
ejpam-2058	169	114	l	l	NOUN
ejpam-2058	169	115	.	.	PUNCT
ejpam-2058	170	1	proof	proof	NOUN
ejpam-2058	170	2	.	.	PUNCT
ejpam-2058	171	1	let	let	VERB
ejpam-2058	171	2	x	x	SYM
ejpam-2058	171	3	=	=	SYM
ejpam-2058	171	4	�	�	PROPN
ejpam-2058	171	5	xk	xk	PROPN
ejpam-2058	171	6	,	,	PUNCT
ejpam-2058	171	7	l	l	PROPN
ejpam-2058	171	8	�	�	PROPN
ejpam-2058	171	9	∈	∈	PROPN
ejpam-2058	171	10	w2	w2	PROPN
ejpam-2058	171	11	�	�	PROPN
ejpam-2058	171	12	a	a	PROPN
ejpam-2058	171	13	,	,	PUNCT
ejpam-2058	171	14	m	m	PROPN
ejpam-2058	171	15	,	,	PUNCT
ejpam-2058	171	16	p	p	PROPN
ejpam-2058	171	17	�	�	PROPN
ejpam-2058	171	18	.	.	PUNCT
ejpam-2058	172	1	then	then	ADV
ejpam-2058	172	2	p	p	X
ejpam-2058	172	3	−	−	PROPN
ejpam-2058	172	4	lim	lim	PROPN
ejpam-2058	172	5	m	m	PROPN
ejpam-2058	172	6	,	,	PUNCT
ejpam-2058	172	7	n	n	PROPN
ejpam-2058	172	8	∞,∞	∞,∞	VERB
ejpam-2058	172	9	∑	∑	PROPN
ejpam-2058	172	10	k	k	PROPN
ejpam-2058	172	11	,	,	PUNCT
ejpam-2058	172	12	l=0,0	l=0,0	NOUN
ejpam-2058	172	13	am	be	AUX
ejpam-2058	172	14	,	,	PUNCT
ejpam-2058	172	15	n	n	CCONJ
ejpam-2058	172	16	,	,	PUNCT
ejpam-2058	172	17	k	k	NOUN
ejpam-2058	172	18	,	,	PUNCT
ejpam-2058	172	19	l	l	PROPN
ejpam-2058	172	20	�	�	PROPN
ejpam-2058	172	21	m	m	PROPN
ejpam-2058	172	22	�	�	PROPN
ejpam-2058	172	23	�	�	PROPN
ejpam-2058	172	24	�	�	PROPN
ejpam-2058	172	25	xk	xk	PROPN
ejpam-2058	172	26	,	,	PUNCT
ejpam-2058	172	27	l	l	NOUN
ejpam-2058	172	28	−	−	PROPN
ejpam-2058	172	29	l	l	X
ejpam-2058	172	30	�	�	PROPN
ejpam-2058	172	31	�	�	PROPN
ejpam-2058	172	32	ρ	ρ	PROPN
ejpam-2058	172	33	�	�	PROPN
ejpam-2058	172	34	�	�	PROPN
ejpam-2058	172	35	pk	pk	NOUN
ejpam-2058	172	36	,	,	PUNCT
ejpam-2058	172	37	l	l	NOUN
ejpam-2058	172	38	=	=	SYM
ejpam-2058	172	39	0	0	NUM
ejpam-2058	172	40	,	,	PUNCT
ejpam-2058	172	41	for	for	ADP
ejpam-2058	172	42	some	some	DET
ejpam-2058	172	43	ρ	ρ	NOUN
ejpam-2058	172	44	>	>	X
ejpam-2058	172	45	0	0	PROPN
ejpam-2058	172	46	and	and	CCONJ
ejpam-2058	172	47	l.	l.	PROPN
ejpam-2058	172	48	(	(	PUNCT
ejpam-2058	172	49	3	3	NUM
ejpam-2058	172	50	)	)	PUNCT
ejpam-2058	172	51	since	since	SCONJ
ejpam-2058	172	52	sup	sup	PROPN
ejpam-2058	172	53	pk	pk	NOUN
ejpam-2058	172	54	,	,	PUNCT
ejpam-2058	172	55	l	l	NOUN
ejpam-2058	172	56	pi	pi	NOUN
ejpam-2058	172	57	,	,	PUNCT
ejpam-2058	172	58	j	j	PROPN
ejpam-2058	172	59	<	<	X
ejpam-2058	172	60	∞	∞	PROPN
ejpam-2058	172	61	,	,	PUNCT
ejpam-2058	172	62	so	so	SCONJ
ejpam-2058	172	63	there	there	PRON
ejpam-2058	172	64	exists	exist	VERB
ejpam-2058	172	65	c	c	NOUN
ejpam-2058	172	66	>	>	X
ejpam-2058	172	67	0	0	NUM
ejpam-2058	173	1	such	such	ADJ
ejpam-2058	173	2	that	that	DET
ejpam-2058	173	3	pk	pk	NOUN
ejpam-2058	173	4	,	,	PUNCT
ejpam-2058	173	5	l	l	NOUN
ejpam-2058	173	6	<	<	X
ejpam-2058	173	7	c	c	X
ejpam-2058	173	8	pi	pi	NOUN
ejpam-2058	173	9	,	,	PUNCT
ejpam-2058	173	10	j	j	PROPN
ejpam-2058	173	11	for	for	ADP
ejpam-2058	173	12	all	all	DET
ejpam-2058	173	13	k	k	PROPN
ejpam-2058	173	14	≥	≥	PROPN
ejpam-2058	173	15	i	i	PRON
ejpam-2058	173	16	,	,	PUNCT
ejpam-2058	173	17	l	l	PROPN
ejpam-2058	173	18	≥	≥	X
ejpam-2058	174	1	j.	j.	X
ejpam-2058	174	2	thus	thus	ADV
ejpam-2058	174	3	from	from	ADP
ejpam-2058	174	4	(	(	PUNCT
ejpam-2058	174	5	3	3	X
ejpam-2058	174	6	)	)	PUNCT
ejpam-2058	174	7	we	we	PRON
ejpam-2058	174	8	have	have	AUX
ejpam-2058	174	9	,	,	PUNCT
ejpam-2058	174	10	p	p	X
ejpam-2058	174	11	−	−	PROPN
ejpam-2058	174	12	lim	lim	PROPN
ejpam-2058	174	13	m	m	PROPN
ejpam-2058	174	14	,	,	PUNCT
ejpam-2058	174	15	n	n	PROPN
ejpam-2058	174	16	∞,∞	∞,∞	VERB
ejpam-2058	174	17	∑	∑	PROPN
ejpam-2058	174	18	k	k	PROPN
ejpam-2058	174	19	,	,	PUNCT
ejpam-2058	174	20	l=0,0	l=0,0	NOUN
ejpam-2058	174	21	am	be	AUX
ejpam-2058	174	22	,	,	PUNCT
ejpam-2058	174	23	n	n	CCONJ
ejpam-2058	174	24	,	,	PUNCT
ejpam-2058	174	25	k	k	NOUN
ejpam-2058	174	26	,	,	PUNCT
ejpam-2058	174	27	l	l	PROPN
ejpam-2058	174	28	�	�	PROPN
ejpam-2058	174	29	m	m	PROPN
ejpam-2058	174	30	�	�	PROPN
ejpam-2058	174	31	�	�	PROPN
ejpam-2058	174	32	�	�	PROPN
ejpam-2058	174	33	xk	xk	PROPN
ejpam-2058	174	34	,	,	PUNCT
ejpam-2058	174	35	l	l	NOUN
ejpam-2058	174	36	−	−	PROPN
ejpam-2058	174	37	l	l	X
ejpam-2058	174	38	�	�	PROPN
ejpam-2058	174	39	�	�	PROPN
ejpam-2058	174	40	ρ	ρ	PROPN
ejpam-2058	174	41	�	�	PROPN
ejpam-2058	174	42	�	�	PROPN
ejpam-2058	174	43	pk	pk	NOUN
ejpam-2058	174	44	,	,	PUNCT
ejpam-2058	174	45	l+1	l+1	PART
ejpam-2058	174	46	=	=	SYM
ejpam-2058	174	47	0	0	NUM
ejpam-2058	174	48	,	,	PUNCT
ejpam-2058	174	49	p	p	NOUN
ejpam-2058	174	50	−	−	PROPN
ejpam-2058	174	51	lim	lim	PROPN
ejpam-2058	174	52	m	m	PROPN
ejpam-2058	174	53	,	,	PUNCT
ejpam-2058	174	54	n	n	PROPN
ejpam-2058	174	55	∞,∞	∞,∞	VERB
ejpam-2058	174	56	∑	∑	PROPN
ejpam-2058	174	57	k	k	PROPN
ejpam-2058	174	58	,	,	PUNCT
ejpam-2058	174	59	l=0,0	l=0,0	NOUN
ejpam-2058	174	60	am	be	AUX
ejpam-2058	174	61	,	,	PUNCT
ejpam-2058	174	62	n	n	CCONJ
ejpam-2058	174	63	,	,	PUNCT
ejpam-2058	174	64	k	k	NOUN
ejpam-2058	174	65	,	,	PUNCT
ejpam-2058	174	66	l	l	PROPN
ejpam-2058	174	67	�	�	PROPN
ejpam-2058	174	68	m	m	PROPN
ejpam-2058	174	69	�	�	PROPN
ejpam-2058	174	70	�	�	PROPN
ejpam-2058	174	71	�	�	PROPN
ejpam-2058	174	72	xk	xk	PROPN
ejpam-2058	174	73	,	,	PUNCT
ejpam-2058	174	74	l	l	NOUN
ejpam-2058	174	75	−	−	PROPN
ejpam-2058	174	76	l	l	X
ejpam-2058	174	77	�	�	PROPN
ejpam-2058	174	78	�	�	PROPN
ejpam-2058	174	79	ρ	ρ	PROPN
ejpam-2058	174	80	�	�	PROPN
ejpam-2058	174	81	�	�	PROPN
ejpam-2058	174	82	pk+1,l	pk+1,l	NOUN
ejpam-2058	174	83	=	=	SYM
ejpam-2058	174	84	0	0	NUM
ejpam-2058	174	85	,	,	PUNCT
ejpam-2058	174	86	p	p	NOUN
ejpam-2058	174	87	−	−	PROPN
ejpam-2058	174	88	lim	lim	PROPN
ejpam-2058	174	89	m	m	PROPN
ejpam-2058	174	90	,	,	PUNCT
ejpam-2058	174	91	n	n	PROPN
ejpam-2058	174	92	∞,∞	∞,∞	VERB
ejpam-2058	174	93	∑	∑	PROPN
ejpam-2058	174	94	k	k	PROPN
ejpam-2058	174	95	,	,	PUNCT
ejpam-2058	174	96	l=0,0	l=0,0	NOUN
ejpam-2058	174	97	am	be	AUX
ejpam-2058	174	98	,	,	PUNCT
ejpam-2058	174	99	n	n	CCONJ
ejpam-2058	174	100	,	,	PUNCT
ejpam-2058	174	101	k	k	NOUN
ejpam-2058	174	102	,	,	PUNCT
ejpam-2058	174	103	l	l	PROPN
ejpam-2058	174	104	�	�	PROPN
ejpam-2058	174	105	m	m	PROPN
ejpam-2058	174	106	�	�	PROPN
ejpam-2058	174	107	�	�	PROPN
ejpam-2058	174	108	�	�	PROPN
ejpam-2058	174	109	xk	xk	PROPN
ejpam-2058	174	110	,	,	PUNCT
ejpam-2058	174	111	l	l	NOUN
ejpam-2058	174	112	−	−	PROPN
ejpam-2058	174	113	l	l	X
ejpam-2058	174	114	�	�	PROPN
ejpam-2058	174	115	�	�	PROPN
ejpam-2058	174	116	ρ	ρ	PROPN
ejpam-2058	174	117	�	�	PROPN
ejpam-2058	174	118	�	�	PROPN
ejpam-2058	174	119	pk+1,l+1	pk+1,l+1	NOUN
ejpam-2058	174	120	=	=	SYM
ejpam-2058	174	121	0	0	X
ejpam-2058	174	122	.	.	PUNCT
ejpam-2058	175	1	now	now	ADV
ejpam-2058	175	2	for	for	ADP
ejpam-2058	175	3	�	�	PROPN
ejpam-2058	175	4	�	�	PROPN
ejpam-2058	175	5	∆r	∆r	NOUN
ejpam-2058	175	6	xk	xk	PROPN
ejpam-2058	175	7	,	,	PUNCT
ejpam-2058	175	8	l	l	PROPN
ejpam-2058	175	9	�	�	PROPN
ejpam-2058	175	10	�	�	PROPN
ejpam-2058	175	11	=	=	SYM
ejpam-2058	175	12	�	�	PROPN
ejpam-2058	175	13	�	�	PROPN
ejpam-2058	175	14	∆r−1	∆r−1	PROPN
ejpam-2058	175	15	xk	xk	PROPN
ejpam-2058	175	16	,	,	PUNCT
ejpam-2058	175	17	l	l	PROPN
ejpam-2058	175	18	−∆r−1	−∆r−1	PROPN
ejpam-2058	175	19	xk	xk	PROPN
ejpam-2058	175	20	,	,	PUNCT
ejpam-2058	175	21	l+1	l+1	PROPN
ejpam-2058	175	22	−∆r−1	−∆r−1	PROPN
ejpam-2058	175	23	xk+1,l	xk+1,l	PROPN
ejpam-2058	176	1	+	+	PUNCT
ejpam-2058	176	2	∆	∆	VERB
ejpam-2058	176	3	r−1	r−1	PROPN
ejpam-2058	176	4	xk+1,l+1	xk+1,l+1	PUNCT
ejpam-2058	177	1	+	+	CCONJ
ejpam-2058	177	2	l	l	NOUN
ejpam-2058	178	1	−	−	PROPN
ejpam-2058	178	2	l	l	NOUN
ejpam-2058	178	3	+	+	NUM
ejpam-2058	178	4	l	l	NOUN
ejpam-2058	178	5	−	−	PROPN
ejpam-2058	178	6	l	l	X
ejpam-2058	178	7	�	�	PROPN
ejpam-2058	178	8	�	�	PROPN
ejpam-2058	178	9	we	we	PRON
ejpam-2058	178	10	have	have	VERB
ejpam-2058	178	11	,	,	PUNCT
ejpam-2058	178	12	p	p	X
ejpam-2058	178	13	−	−	PROPN
ejpam-2058	178	14	lim	lim	PROPN
ejpam-2058	178	15	m	m	PROPN
ejpam-2058	178	16	,	,	PUNCT
ejpam-2058	178	17	n	n	PROPN
ejpam-2058	178	18	∞,∞	∞,∞	VERB
ejpam-2058	178	19	∑	∑	PROPN
ejpam-2058	178	20	k	k	PROPN
ejpam-2058	178	21	,	,	PUNCT
ejpam-2058	178	22	l=0,0	l=0,0	NOUN
ejpam-2058	178	23	am	be	AUX
ejpam-2058	178	24	,	,	PUNCT
ejpam-2058	178	25	n	n	CCONJ
ejpam-2058	178	26	,	,	PUNCT
ejpam-2058	178	27	k	k	NOUN
ejpam-2058	178	28	,	,	PUNCT
ejpam-2058	178	29	l	l	PROPN
ejpam-2058	178	30	�	�	PROPN
ejpam-2058	178	31	m	m	PROPN
ejpam-2058	178	32	�	�	PROPN
ejpam-2058	178	33	�	�	PROPN
ejpam-2058	178	34	�	�	PROPN
ejpam-2058	178	35	∆r	∆r	NOUN
ejpam-2058	178	36	xk	xk	PROPN
ejpam-2058	178	37	,	,	PUNCT
ejpam-2058	178	38	l	l	NOUN
ejpam-2058	178	39	−	−	PROPN
ejpam-2058	178	40	l	l	X
ejpam-2058	178	41	�	�	PROPN
ejpam-2058	178	42	�	�	PROPN
ejpam-2058	178	43	ρ	ρ	PROPN
ejpam-2058	178	44	�	�	PROPN
ejpam-2058	178	45	�	�	PROPN
ejpam-2058	178	46	pk	pk	NOUN
ejpam-2058	178	47	,	,	PUNCT
ejpam-2058	178	48	l	l	NOUN
ejpam-2058	178	49	≤p	≤p	NOUN
ejpam-2058	178	50	−	−	PROPN
ejpam-2058	178	51	lim	lim	PROPN
ejpam-2058	178	52	m	m	PROPN
ejpam-2058	178	53	,	,	PUNCT
ejpam-2058	178	54	n	n	PROPN
ejpam-2058	178	55	∞,∞	∞,∞	VERB
ejpam-2058	178	56	∑	∑	PROPN
ejpam-2058	178	57	k	k	PROPN
ejpam-2058	178	58	,	,	PUNCT
ejpam-2058	178	59	l=0,0	l=0,0	NOUN
ejpam-2058	178	60	am	be	AUX
ejpam-2058	178	61	,	,	PUNCT
ejpam-2058	178	62	n	n	CCONJ
ejpam-2058	178	63	,	,	PUNCT
ejpam-2058	178	64	k	k	NOUN
ejpam-2058	178	65	,	,	PUNCT
ejpam-2058	178	66	l	l	PROPN
ejpam-2058	178	67	�	�	PROPN
ejpam-2058	178	68	m	m	PROPN
ejpam-2058	178	69	�	�	PROPN
ejpam-2058	178	70	�	�	PROPN
ejpam-2058	178	71	�	�	PROPN
ejpam-2058	178	72	∆r−1	∆r−1	PROPN
ejpam-2058	178	73	xk	xk	PROPN
ejpam-2058	178	74	,	,	PUNCT
ejpam-2058	178	75	l	l	NOUN
ejpam-2058	178	76	−	−	PROPN
ejpam-2058	178	77	l	l	X
ejpam-2058	178	78	�	�	PROPN
ejpam-2058	178	79	�	�	PROPN
ejpam-2058	178	80	ρ	ρ	PROPN
ejpam-2058	178	81	+	+	PROPN
ejpam-2058	178	82	�	�	PROPN
ejpam-2058	178	83	�	�	PROPN
ejpam-2058	178	84	∆r−1	∆r−1	PROPN
ejpam-2058	178	85	xk+1,l	xk+1,l	PROPN
ejpam-2058	179	1	−	−	PROPN
ejpam-2058	180	1	l	l	PROPN
ejpam-2058	180	2	�	�	PROPN
ejpam-2058	180	3	�	�	PROPN
ejpam-2058	180	4	ρ	ρ	PROPN
ejpam-2058	180	5	+	+	PROPN
ejpam-2058	180	6	�	�	PROPN
ejpam-2058	180	7	�	�	PROPN
ejpam-2058	180	8	∆r−1	∆r−1	PROPN
ejpam-2058	180	9	xk	xk	NOUN
ejpam-2058	180	10	,	,	PUNCT
ejpam-2058	180	11	l+1	l+1	PRON
ejpam-2058	180	12	−	−	PROPN
ejpam-2058	180	13	l	l	X
ejpam-2058	180	14	�	�	PROPN
ejpam-2058	180	15	�	�	PROPN
ejpam-2058	180	16	ρ	ρ	PROPN
ejpam-2058	180	17	+	+	PROPN
ejpam-2058	180	18	�	�	PROPN
ejpam-2058	180	19	�	�	PROPN
ejpam-2058	180	20	∆r−1	∆r−1	PROPN
ejpam-2058	180	21	xk+1,l+1	xk+1,l+1	X
ejpam-2058	181	1	−	−	PROPN
ejpam-2058	181	2	l	l	X
ejpam-2058	181	3	�	�	PROPN
ejpam-2058	181	4	�	�	PROPN
ejpam-2058	181	5	ρ	ρ	PROPN
ejpam-2058	181	6	�	�	PROPN
ejpam-2058	181	7	�	�	PROPN
ejpam-2058	181	8	pk	pk	NOUN
ejpam-2058	181	9	,	,	PUNCT
ejpam-2058	181	10	l	l	NOUN
ejpam-2058	181	11	≤d2p	≤d2p	NOUN
ejpam-2058	181	12	−	−	PROPN
ejpam-2058	181	13	lim	lim	PROPN
ejpam-2058	181	14	m	m	PROPN
ejpam-2058	181	15	,	,	PUNCT
ejpam-2058	181	16	n	n	PROPN
ejpam-2058	181	17	∞,∞	∞,∞	VERB
ejpam-2058	181	18	∑	∑	PROPN
ejpam-2058	181	19	k	k	PROPN
ejpam-2058	181	20	,	,	PUNCT
ejpam-2058	181	21	l=0,0	l=0,0	NOUN
ejpam-2058	181	22	am	be	AUX
ejpam-2058	181	23	,	,	PUNCT
ejpam-2058	181	24	n	n	CCONJ
ejpam-2058	181	25	,	,	PUNCT
ejpam-2058	181	26	k	k	NOUN
ejpam-2058	181	27	,	,	PUNCT
ejpam-2058	181	28	l	l	PROPN
ejpam-2058	181	29			PROPN
ejpam-2058	181	30			SYM
ejpam-2058	181	31	�	�	PROPN
ejpam-2058	181	32	m	m	VERB
ejpam-2058	181	33	�	�	PROPN
ejpam-2058	181	34	�	�	PROPN
ejpam-2058	181	35	�	�	PROPN
ejpam-2058	181	36	∆r−1	∆r−1	PROPN
ejpam-2058	181	37	xk	xk	PROPN
ejpam-2058	181	38	,	,	PUNCT
ejpam-2058	181	39	l	l	NOUN
ejpam-2058	181	40	−	−	PROPN
ejpam-2058	181	41	l	l	X
ejpam-2058	181	42	�	�	PROPN
ejpam-2058	181	43	�	�	PROPN
ejpam-2058	181	44	ρ	ρ	PROPN
ejpam-2058	181	45	�	�	PROPN
ejpam-2058	181	46	�	�	PROPN
ejpam-2058	181	47	pk	pk	NOUN
ejpam-2058	181	48	,	,	PUNCT
ejpam-2058	181	49	l	l	PROPN
ejpam-2058	181	50	+	+	CCONJ
ejpam-2058	181	51	�	�	PROPN
ejpam-2058	181	52	m	m	PROPN
ejpam-2058	181	53	�	�	PROPN
ejpam-2058	181	54	�	�	PROPN
ejpam-2058	181	55	�	�	PROPN
ejpam-2058	181	56	∆r−1	∆r−1	PROPN
ejpam-2058	181	57	xk+1,l	xk+1,l	PROPN
ejpam-2058	182	1	−	−	PROPN
ejpam-2058	182	2	l	l	PROPN
ejpam-2058	182	3	�	�	PROPN
ejpam-2058	182	4	�	�	PROPN
ejpam-2058	182	5	ρ	ρ	PROPN
ejpam-2058	182	6	�	�	PROPN
ejpam-2058	182	7	�	�	PROPN
ejpam-2058	182	8	pk	pk	NOUN
ejpam-2058	182	9	,	,	PUNCT
ejpam-2058	182	10	l	l	PROPN
ejpam-2058	182	11	+	+	CCONJ
ejpam-2058	182	12	�	�	PROPN
ejpam-2058	182	13	m	m	PROPN
ejpam-2058	182	14	�	�	PROPN
ejpam-2058	182	15	�	�	PROPN
ejpam-2058	182	16	�	�	PROPN
ejpam-2058	182	17	∆r−1	∆r−1	PROPN
ejpam-2058	182	18	xk	xk	NOUN
ejpam-2058	182	19	,	,	PUNCT
ejpam-2058	182	20	l+1	l+1	PRON
ejpam-2058	182	21	−	−	PROPN
ejpam-2058	182	22	l	l	X
ejpam-2058	182	23	�	�	PROPN
ejpam-2058	182	24	�	�	PROPN
ejpam-2058	182	25	ρ	ρ	PROPN
ejpam-2058	182	26	�	�	PROPN
ejpam-2058	182	27	�	�	PROPN
ejpam-2058	182	28	pk	pk	NOUN
ejpam-2058	182	29	,	,	PUNCT
ejpam-2058	182	30	l	l	PROPN
ejpam-2058	182	31	+	+	CCONJ
ejpam-2058	182	32	�	�	PROPN
ejpam-2058	182	33	m	m	PROPN
ejpam-2058	182	34	�	�	PROPN
ejpam-2058	182	35	�	�	PROPN
ejpam-2058	182	36	�	�	PROPN
ejpam-2058	182	37	∆r−1	∆r−1	PROPN
ejpam-2058	182	38	xk+1,l+1	xk+1,l+1	X
ejpam-2058	183	1	−	−	PROPN
ejpam-2058	183	2	l	l	X
ejpam-2058	183	3	�	�	PROPN
ejpam-2058	183	4	�	�	PROPN
ejpam-2058	183	5	ρ	ρ	PROPN
ejpam-2058	183	6	�	�	PROPN
ejpam-2058	183	7	�	�	PROPN
ejpam-2058	183	8	pk	pk	NOUN
ejpam-2058	183	9	,	,	PUNCT
ejpam-2058	183	10	l	l	NOUN
ejpam-2058	183	11			PROPN
ejpam-2058	183	12			PROPN
ejpam-2058	183	13	b.	b.	NOUN
ejpam-2058	183	14	hazarika	hazarika	NOUN
ejpam-2058	183	15	,	,	PUNCT
ejpam-2058	183	16	a.	a.	PROPN
ejpam-2058	183	17	esi	esi	PROPN
ejpam-2058	183	18	/	/	SYM
ejpam-2058	183	19	eur	eur	PROPN
ejpam-2058	183	20	.	.	PUNCT
ejpam-2058	184	1	j.	j.	PROPN
ejpam-2058	184	2	pure	pure	PROPN
ejpam-2058	184	3	appl	appl	PROPN
ejpam-2058	184	4	.	.	PROPN
ejpam-2058	184	5	math	math	PROPN
ejpam-2058	184	6	,	,	PUNCT
ejpam-2058	184	7	8	8	NUM
ejpam-2058	184	8	(	(	PUNCT
ejpam-2058	184	9	2015	2015	NUM
ejpam-2058	184	10	)	)	PUNCT
ejpam-2058	184	11	,	,	PUNCT
ejpam-2058	184	12	201	201	NUM
ejpam-2058	184	13	-	-	SYM
ejpam-2058	184	14	213	213	NUM
ejpam-2058	184	15	211	211	NUM
ejpam-2058	184	16	≤d2p	≤d2p	NOUN
ejpam-2058	184	17	−	−	PROPN
ejpam-2058	184	18	lim	lim	PROPN
ejpam-2058	184	19	m	m	PROPN
ejpam-2058	184	20	,	,	PUNCT
ejpam-2058	184	21	n	n	PROPN
ejpam-2058	184	22	∞,∞	∞,∞	VERB
ejpam-2058	184	23	∑	∑	PROPN
ejpam-2058	184	24	k	k	PROPN
ejpam-2058	184	25	,	,	PUNCT
ejpam-2058	184	26	l=0,0	l=0,0	NOUN
ejpam-2058	184	27	am	be	AUX
ejpam-2058	184	28	,	,	PUNCT
ejpam-2058	184	29	n	n	CCONJ
ejpam-2058	184	30	,	,	PUNCT
ejpam-2058	184	31	k	k	NOUN
ejpam-2058	184	32	,	,	PUNCT
ejpam-2058	184	33	l	l	PROPN
ejpam-2058	184	34			PROPN
ejpam-2058	184	35			SYM
ejpam-2058	184	36	�	�	PROPN
ejpam-2058	184	37	m	m	VERB
ejpam-2058	184	38	�	�	PROPN
ejpam-2058	184	39	�	�	PROPN
ejpam-2058	184	40	�	�	PROPN
ejpam-2058	184	41	∆r−1	∆r−1	PROPN
ejpam-2058	184	42	xk	xk	PROPN
ejpam-2058	184	43	,	,	PUNCT
ejpam-2058	184	44	l	l	NOUN
ejpam-2058	184	45	−	−	PROPN
ejpam-2058	184	46	l	l	X
ejpam-2058	184	47	�	�	PROPN
ejpam-2058	184	48	�	�	PROPN
ejpam-2058	184	49	ρ	ρ	PROPN
ejpam-2058	184	50	�	�	PROPN
ejpam-2058	184	51	�	�	PROPN
ejpam-2058	184	52	pk	pk	NOUN
ejpam-2058	184	53	,	,	PUNCT
ejpam-2058	184	54	l	l	PROPN
ejpam-2058	184	55	+	+	CCONJ
ejpam-2058	184	56	�	�	PROPN
ejpam-2058	184	57	m	m	PROPN
ejpam-2058	184	58	�	�	PROPN
ejpam-2058	184	59	�	�	PROPN
ejpam-2058	184	60	�	�	PROPN
ejpam-2058	184	61	∆r−1	∆r−1	PROPN
ejpam-2058	184	62	xk+1,l	xk+1,l	PROPN
ejpam-2058	185	1	−	−	PROPN
ejpam-2058	186	1	l	l	PROPN
ejpam-2058	186	2	�	�	PROPN
ejpam-2058	186	3	�	�	PROPN
ejpam-2058	186	4	ρ	ρ	PROPN
ejpam-2058	186	5	�	�	PROPN
ejpam-2058	186	6	�	�	PROPN
ejpam-2058	186	7	pk+1,l	pk+1,l	PROPN
ejpam-2058	186	8	+	+	CCONJ
ejpam-2058	186	9	�	�	PROPN
ejpam-2058	186	10	m	m	PROPN
ejpam-2058	186	11	�	�	PROPN
ejpam-2058	186	12	�	�	PROPN
ejpam-2058	186	13	�	�	PROPN
ejpam-2058	186	14	∆r−1	∆r−1	PROPN
ejpam-2058	186	15	xk	xk	NOUN
ejpam-2058	186	16	,	,	PUNCT
ejpam-2058	186	17	l+1	l+1	PRON
ejpam-2058	186	18	−	−	PROPN
ejpam-2058	186	19	l	l	X
ejpam-2058	186	20	�	�	PROPN
ejpam-2058	186	21	�	�	PROPN
ejpam-2058	186	22	ρ	ρ	PROPN
ejpam-2058	186	23	�	�	PROPN
ejpam-2058	186	24	�	�	PROPN
ejpam-2058	186	25	pk	pk	NOUN
ejpam-2058	186	26	,	,	PUNCT
ejpam-2058	186	27	l+1	l+1	PROPN
ejpam-2058	186	28	+	+	CCONJ
ejpam-2058	186	29	�	�	PROPN
ejpam-2058	186	30	m	m	PROPN
ejpam-2058	186	31	�	�	PROPN
ejpam-2058	186	32	�	�	PROPN
ejpam-2058	186	33	�	�	PROPN
ejpam-2058	186	34	∆r−1	∆r−1	PROPN
ejpam-2058	186	35	xk+1,l+1	xk+1,l+1	X
ejpam-2058	187	1	−	−	PROPN
ejpam-2058	187	2	l	l	X
ejpam-2058	187	3	�	�	PROPN
ejpam-2058	187	4	�	�	PROPN
ejpam-2058	187	5	ρ	ρ	PROPN
ejpam-2058	187	6	�	�	PROPN
ejpam-2058	187	7	�	�	PROPN
ejpam-2058	187	8	pk+1,l+1	pk+1,l+1	X
ejpam-2058	187	9			NUM
ejpam-2058	187	10	=	=	PROPN
ejpam-2058	187	11	0	0	NUM
ejpam-2058	187	12	where	where	SCONJ
ejpam-2058	187	13	d	d	PROPN
ejpam-2058	187	14	=	=	SYM
ejpam-2058	187	15	max	max	PROPN
ejpam-2058	187	16	�	�	PROPN
ejpam-2058	187	17	1,2h−1	1,2h−1	PROPN
ejpam-2058	187	18	�	�	PROPN
ejpam-2058	187	19	.	.	PUNCT
ejpam-2058	188	1	thus	thus	ADV
ejpam-2058	188	2	x	x	X
ejpam-2058	188	3	=	=	SYM
ejpam-2058	188	4	�	�	PROPN
ejpam-2058	188	5	xk	xk	PROPN
ejpam-2058	188	6	,	,	PUNCT
ejpam-2058	188	7	l	l	PROPN
ejpam-2058	188	8	�	�	PROPN
ejpam-2058	188	9	∈	∈	PROPN
ejpam-2058	188	10	w2	w2	PROPN
ejpam-2058	188	11	�	�	PROPN
ejpam-2058	188	12	a	a	PROPN
ejpam-2058	188	13	,	,	PUNCT
ejpam-2058	188	14	m	m	PROPN
ejpam-2058	188	15	,	,	PUNCT
ejpam-2058	188	16	p	p	PROPN
ejpam-2058	188	17	�	�	PROPN
ejpam-2058	188	18	(	(	PUNCT
ejpam-2058	188	19	∆r	∆r	NOUN
ejpam-2058	188	20	)	)	PUNCT
ejpam-2058	188	21	.	.	PUNCT
ejpam-2058	189	1	this	this	PRON
ejpam-2058	189	2	completes	complete	VERB
ejpam-2058	189	3	the	the	DET
ejpam-2058	189	4	proof	proof	NOUN
ejpam-2058	189	5	.	.	PUNCT
ejpam-2058	190	1	the	the	DET
ejpam-2058	190	2	inclusion	inclusion	NOUN
ejpam-2058	190	3	is	be	AUX
ejpam-2058	190	4	strict	strict	ADJ
ejpam-2058	190	5	follows	follow	VERB
ejpam-2058	190	6	from	from	ADP
ejpam-2058	190	7	the	the	DET
ejpam-2058	190	8	following	follow	VERB
ejpam-2058	190	9	example	example	NOUN
ejpam-2058	190	10	.	.	PUNCT
ejpam-2058	191	1	example	example	NOUN
ejpam-2058	192	1	1	1	NUM
ejpam-2058	192	2	.	.	PUNCT
ejpam-2058	193	1	let	let	VERB
ejpam-2058	193	2	a=	a=	VERB
ejpam-2058	193	3	(	(	PUNCT
ejpam-2058	193	4	c	c	NOUN
ejpam-2058	193	5	,	,	PUNCT
ejpam-2058	193	6	1	1	NUM
ejpam-2058	193	7	,	,	PUNCT
ejpam-2058	193	8	1	1	NUM
ejpam-2058	193	9	)	)	PUNCT
ejpam-2058	193	10	,	,	PUNCT
ejpam-2058	193	11	m	m	VERB
ejpam-2058	193	12	(	(	PUNCT
ejpam-2058	193	13	x	x	X
ejpam-2058	193	14	)	)	PUNCT
ejpam-2058	193	15	=	=	PUNCT
ejpam-2058	194	1	x	x	SYM
ejpam-2058	194	2	p	p	NOUN
ejpam-2058	194	3	,	,	PUNCT
ejpam-2058	194	4	pk	pk	NOUN
ejpam-2058	194	5	,	,	PUNCT
ejpam-2058	194	6	l	l	NOUN
ejpam-2058	194	7	=	=	SYM
ejpam-2058	194	8	1	1	NUM
ejpam-2058	194	9	for	for	ADP
ejpam-2058	194	10	all	all	DET
ejpam-2058	194	11	k	k	PROPN
ejpam-2058	194	12	odd	odd	ADJ
ejpam-2058	194	13	and	and	CCONJ
ejpam-2058	194	14	for	for	ADP
ejpam-2058	194	15	all	all	DET
ejpam-2058	194	16	l	l	NOUN
ejpam-2058	194	17	∈	∈	PROPN
ejpam-2058	194	18	n	n	NOUN
ejpam-2058	194	19	and	and	CCONJ
ejpam-2058	194	20	pk	pk	NOUN
ejpam-2058	194	21	,	,	PUNCT
ejpam-2058	194	22	l	l	NOUN
ejpam-2058	194	23	=	=	SYM
ejpam-2058	194	24	2	2	NUM
ejpam-2058	194	25	otherwise	otherwise	ADV
ejpam-2058	194	26	.	.	PUNCT
ejpam-2058	195	1	consider	consider	VERB
ejpam-2058	195	2	the	the	DET
ejpam-2058	195	3	sequence	sequence	NOUN
ejpam-2058	195	4	x	x	NOUN
ejpam-2058	195	5	=	=	SYM
ejpam-2058	195	6	�	�	PROPN
ejpam-2058	195	7	xk	xk	PROPN
ejpam-2058	195	8	,	,	PUNCT
ejpam-2058	195	9	l	l	PROPN
ejpam-2058	195	10	�	�	PROPN
ejpam-2058	195	11	defined	define	VERB
ejpam-2058	195	12	by	by	ADP
ejpam-2058	195	13	xk	xk	PROPN
ejpam-2058	195	14	,	,	PUNCT
ejpam-2058	195	15	l	l	NOUN
ejpam-2058	195	16	=	=	SYM
ejpam-2058	195	17	(	(	PUNCT
ejpam-2058	195	18	k	k	X
ejpam-2058	196	1	+	+	CCONJ
ejpam-2058	196	2	l)r	l)r	ADJ
ejpam-2058	196	3	for	for	ADP
ejpam-2058	196	4	all	all	DET
ejpam-2058	196	5	k	k	NOUN
ejpam-2058	196	6	,	,	PUNCT
ejpam-2058	196	7	l	l	PROPN
ejpam-2058	196	8	∈	∈	PROPN
ejpam-2058	196	9	n.	n.	NOUN
ejpam-2058	196	10	we	we	PRON
ejpam-2058	196	11	have	have	VERB
ejpam-2058	196	12	∆r	∆r	NOUN
ejpam-2058	196	13	xk	xk	PROPN
ejpam-2058	196	14	,	,	PUNCT
ejpam-2058	196	15	l	l	NOUN
ejpam-2058	196	16	=	=	SYM
ejpam-2058	196	17	0	0	NUM
ejpam-2058	196	18	for	for	ADP
ejpam-2058	196	19	all	all	DET
ejpam-2058	196	20	k	k	PROPN
ejpam-2058	196	21	,	,	PUNCT
ejpam-2058	196	22	l	l	PROPN
ejpam-2058	196	23	∈	∈	PROPN
ejpam-2058	196	24	n.	n.	NOUN
ejpam-2058	196	25	hence	hence	ADV
ejpam-2058	196	26	x	x	PUNCT
ejpam-2058	196	27	=	=	SYM
ejpam-2058	196	28	�	�	PROPN
ejpam-2058	196	29	xk	xk	PROPN
ejpam-2058	196	30	,	,	PUNCT
ejpam-2058	196	31	l	l	PROPN
ejpam-2058	196	32	�	�	PROPN
ejpam-2058	196	33	∈	∈	PROPN
ejpam-2058	196	34	w2	w2	PROPN
ejpam-2058	196	35	�	�	PROPN
ejpam-2058	196	36	a	a	PROPN
ejpam-2058	196	37	,	,	PUNCT
ejpam-2058	196	38	m	m	PROPN
ejpam-2058	196	39	,	,	PUNCT
ejpam-2058	196	40	p	p	PROPN
ejpam-2058	196	41	�	�	PROPN
ejpam-2058	196	42	(	(	PUNCT
ejpam-2058	196	43	∆r	∆r	NOUN
ejpam-2058	196	44	)	)	PUNCT
ejpam-2058	196	45	but	but	CCONJ
ejpam-2058	196	46	x	x	X
ejpam-2058	196	47	=	=	SYM
ejpam-2058	196	48	�	�	PROPN
ejpam-2058	196	49	xk	xk	PROPN
ejpam-2058	196	50	,	,	PUNCT
ejpam-2058	196	51	l	l	PROPN
ejpam-2058	196	52	�	�	PROPN
ejpam-2058	196	53	/∈	/∈	PROPN
ejpam-2058	196	54	w2	w2	PROPN
ejpam-2058	196	55	�	�	PROPN
ejpam-2058	196	56	a	a	PROPN
ejpam-2058	196	57	,	,	PUNCT
ejpam-2058	196	58	m	m	PROPN
ejpam-2058	196	59	,	,	PUNCT
ejpam-2058	196	60	p	p	PROPN
ejpam-2058	196	61	�	�	PROPN
ejpam-2058	196	62	.	.	PUNCT
ejpam-2058	197	1	let	let	VERB
ejpam-2058	197	2	e	e	PRON
ejpam-2058	197	3	be	be	AUX
ejpam-2058	197	4	a	a	DET
ejpam-2058	197	5	sequence	sequence	NOUN
ejpam-2058	197	6	space	space	NOUN
ejpam-2058	197	7	.	.	PUNCT
ejpam-2058	198	1	then	then	ADV
ejpam-2058	198	2	e	e	PROPN
ejpam-2058	198	3	is	be	AUX
ejpam-2058	198	4	called	call	VERB
ejpam-2058	198	5	(	(	PUNCT
ejpam-2058	198	6	a	a	PRON
ejpam-2058	198	7	)	)	PUNCT
ejpam-2058	198	8	solid	solid	ADJ
ejpam-2058	198	9	(	(	PUNCT
ejpam-2058	198	10	or	or	CCONJ
ejpam-2058	198	11	normal	normal	ADJ
ejpam-2058	198	12	)	)	PUNCT
ejpam-2058	198	13	if	if	SCONJ
ejpam-2058	198	14	(	(	PUNCT
ejpam-2058	198	15	αk	αk	ADP
ejpam-2058	198	16	xk	xk	NOUN
ejpam-2058	198	17	)	)	PUNCT
ejpam-2058	198	18	∈	∈	PROPN
ejpam-2058	198	19	e	e	X
ejpam-2058	198	20	whenever	whenever	SCONJ
ejpam-2058	198	21	(	(	PUNCT
ejpam-2058	198	22	xk	xk	ADJ
ejpam-2058	198	23	)	)	PUNCT
ejpam-2058	198	24	∈	∈	PROPN
ejpam-2058	198	25	e	e	NOUN
ejpam-2058	198	26	for	for	ADP
ejpam-2058	198	27	all	all	DET
ejpam-2058	198	28	sequences	sequence	NOUN
ejpam-2058	198	29	(	(	PUNCT
ejpam-2058	198	30	αk	αk	NOUN
ejpam-2058	198	31	)	)	PUNCT
ejpam-2058	198	32	of	of	ADP
ejpam-2058	198	33	scalars	scalar	NOUN
ejpam-2058	198	34	with	with	ADP
ejpam-2058	198	35	|αk|	|αk|	PROPN
ejpam-2058	198	36	≤	≤	NUM
ejpam-2058	198	37	1	1	NUM
ejpam-2058	198	38	for	for	ADP
ejpam-2058	198	39	all	all	DET
ejpam-2058	198	40	k	k	PROPN
ejpam-2058	198	41	∈	∈	PROPN
ejpam-2058	198	42	n	n	CCONJ
ejpam-2058	198	43	;	;	PUNCT
ejpam-2058	198	44	(	(	PUNCT
ejpam-2058	198	45	b	b	X
ejpam-2058	198	46	)	)	PUNCT
ejpam-2058	198	47	monotone	monotone	NOUN
ejpam-2058	198	48	provided	provide	VERB
ejpam-2058	198	49	e	e	NOUN
ejpam-2058	198	50	contains	contain	VERB
ejpam-2058	198	51	the	the	DET
ejpam-2058	198	52	canonical	canonical	ADJ
ejpam-2058	198	53	preimages	preimage	NOUN
ejpam-2058	198	54	of	of	ADP
ejpam-2058	198	55	all	all	DET
ejpam-2058	198	56	its	its	PRON
ejpam-2058	198	57	step	step	NOUN
ejpam-2058	198	58	spaces	space	VERB
ejpam-2058	198	59	.	.	PUNCT
ejpam-2058	199	1	it	it	PRON
ejpam-2058	199	2	is	be	AUX
ejpam-2058	199	3	a	a	DET
ejpam-2058	199	4	well	well	ADV
ejpam-2058	199	5	known	know	VERB
ejpam-2058	199	6	result	result	NOUN
ejpam-2058	199	7	that	that	SCONJ
ejpam-2058	199	8	if	if	SCONJ
ejpam-2058	199	9	e	e	NOUN
ejpam-2058	199	10	is	be	AUX
ejpam-2058	199	11	normal	normal	ADJ
ejpam-2058	199	12	then	then	ADV
ejpam-2058	199	13	it	it	PRON
ejpam-2058	199	14	is	be	AUX
ejpam-2058	199	15	monotone	monotone	ADJ
ejpam-2058	199	16	.	.	PUNCT
ejpam-2058	200	1	theorem	theorem	ADJ
ejpam-2058	200	2	7	7	NUM
ejpam-2058	200	3	.	.	PUNCT
ejpam-2058	201	1	the	the	DET
ejpam-2058	201	2	spaces	space	NOUN
ejpam-2058	201	3	w2	w2	NOUN
ejpam-2058	201	4	o	o	PROPN
ejpam-2058	201	5	�	�	PROPN
ejpam-2058	201	6	a	a	PROPN
ejpam-2058	201	7	,	,	PUNCT
ejpam-2058	201	8	m	m	PROPN
ejpam-2058	201	9	,	,	PUNCT
ejpam-2058	201	10	p	p	PROPN
ejpam-2058	201	11	�	�	PROPN
ejpam-2058	201	12	(	(	PUNCT
ejpam-2058	201	13	∆r	∆r	NOUN
ejpam-2058	201	14	)	)	PUNCT
ejpam-2058	201	15	and	and	CCONJ
ejpam-2058	201	16	w2	w2	PROPN
ejpam-2058	201	17	∞	∞	PROPN
ejpam-2058	201	18	�	�	PROPN
ejpam-2058	201	19	a	a	PROPN
ejpam-2058	201	20	,	,	PUNCT
ejpam-2058	201	21	m	m	PROPN
ejpam-2058	201	22	,	,	PUNCT
ejpam-2058	201	23	p	p	PROPN
ejpam-2058	201	24	�	�	PROPN
ejpam-2058	201	25	(	(	PUNCT
ejpam-2058	201	26	∆r	∆r	NOUN
ejpam-2058	201	27	)	)	PUNCT
ejpam-2058	201	28	are	be	AUX
ejpam-2058	201	29	normal	normal	ADJ
ejpam-2058	201	30	as	as	ADV
ejpam-2058	201	31	well	well	ADV
ejpam-2058	201	32	as	as	ADP
ejpam-2058	201	33	monotone	monotone	ADJ
ejpam-2058	201	34	.	.	PUNCT
ejpam-2058	202	1	proof	proof	NOUN
ejpam-2058	202	2	.	.	PUNCT
ejpam-2058	203	1	let	let	AUX
ejpam-2058	203	2	(	(	PUNCT
ejpam-2058	203	3	αk	αk	NOUN
ejpam-2058	203	4	,	,	PUNCT
ejpam-2058	203	5	l	l	NOUN
ejpam-2058	203	6	)	)	PUNCT
ejpam-2058	203	7	be	be	AUX
ejpam-2058	203	8	a	a	DET
ejpam-2058	203	9	double	double	ADJ
ejpam-2058	203	10	sequences	sequence	NOUN
ejpam-2058	203	11	of	of	ADP
ejpam-2058	203	12	scalars	scalar	NOUN
ejpam-2058	203	13	such	such	ADJ
ejpam-2058	203	14	that	that	PRON
ejpam-2058	203	15	|αk	|αk	ADP
ejpam-2058	203	16	,	,	PUNCT
ejpam-2058	203	17	l	l	PROPN
ejpam-2058	204	1	|	|	ADV
ejpam-2058	204	2	≤	≤	ADV
ejpam-2058	204	3	1	1	NUM
ejpam-2058	204	4	for	for	ADP
ejpam-2058	204	5	all	all	DET
ejpam-2058	204	6	k	k	PROPN
ejpam-2058	204	7	,	,	PUNCT
ejpam-2058	204	8	l	l	PROPN
ejpam-2058	204	9	∈	∈	PROPN
ejpam-2058	204	10	n.	n.	NOUN
ejpam-2058	204	11	since	since	SCONJ
ejpam-2058	204	12	m	m	PROPN
ejpam-2058	204	13	is	be	AUX
ejpam-2058	204	14	monotone	monotone	ADJ
ejpam-2058	204	15	,	,	PUNCT
ejpam-2058	204	16	we	we	PRON
ejpam-2058	204	17	get	get	VERB
ejpam-2058	204	18	for	for	ADP
ejpam-2058	204	19	some	some	DET
ejpam-2058	204	20	ρ	ρ	NOUN
ejpam-2058	204	21	>	>	X
ejpam-2058	204	22	0	0	NUM
ejpam-2058	205	1	∞,∞	∞,∞	PROPN
ejpam-2058	205	2	∑	∑	PROPN
ejpam-2058	205	3	k	k	PROPN
ejpam-2058	205	4	,	,	PUNCT
ejpam-2058	205	5	l=0,0	l=0,0	NOUN
ejpam-2058	205	6	am	be	AUX
ejpam-2058	205	7	,	,	PUNCT
ejpam-2058	205	8	n	n	CCONJ
ejpam-2058	205	9	,	,	PUNCT
ejpam-2058	205	10	k	k	NOUN
ejpam-2058	205	11	,	,	PUNCT
ejpam-2058	205	12	l	l	PROPN
ejpam-2058	205	13	�	�	PROPN
ejpam-2058	205	14	m	m	PROPN
ejpam-2058	205	15	�	�	PROPN
ejpam-2058	205	16	|∆r(αk	|∆r(αk	PROPN
ejpam-2058	205	17	,	,	PUNCT
ejpam-2058	205	18	l	l	X
ejpam-2058	205	19	xk	xk	PROPN
ejpam-2058	205	20	,	,	PUNCT
ejpam-2058	205	21	l)|	l)|	PROPN
ejpam-2058	205	22	ρ	ρ	PROPN
ejpam-2058	205	23	�	�	PROPN
ejpam-2058	205	24	�	�	PROPN
ejpam-2058	205	25	pk	pk	NOUN
ejpam-2058	205	26	,	,	PUNCT
ejpam-2058	205	27	l	l	PROPN
ejpam-2058	205	28	≤	≤	NUM
ejpam-2058	205	29	∞,∞	∞,∞	VERB
ejpam-2058	205	30	∑	∑	PROPN
ejpam-2058	205	31	k	k	PROPN
ejpam-2058	205	32	,	,	PUNCT
ejpam-2058	205	33	l=0,0	l=0,0	NOUN
ejpam-2058	205	34	am	be	AUX
ejpam-2058	205	35	,	,	PUNCT
ejpam-2058	205	36	n	n	CCONJ
ejpam-2058	205	37	,	,	PUNCT
ejpam-2058	205	38	k	k	NOUN
ejpam-2058	205	39	,	,	PUNCT
ejpam-2058	205	40	l	l	PROPN
ejpam-2058	205	41	�	�	PROPN
ejpam-2058	205	42	m	m	PROPN
ejpam-2058	205	43	�	�	PROPN
ejpam-2058	205	44	sup	sup	NOUN
ejpam-2058	205	45	|αk	|αk	ADV
ejpam-2058	205	46	,	,	PUNCT
ejpam-2058	205	47	l	l	PROPN
ejpam-2058	205	48	|	|	PROPN
ejpam-2058	205	49	|∆r	|∆r	PROPN
ejpam-2058	205	50	xk	xk	PROPN
ejpam-2058	205	51	,	,	PUNCT
ejpam-2058	205	52	l	l	PROPN
ejpam-2058	205	53	|	|	PROPN
ejpam-2058	205	54	ρ	ρ	PROPN
ejpam-2058	205	55	�	�	PROPN
ejpam-2058	205	56	�	�	PROPN
ejpam-2058	205	57	pk	pk	NOUN
ejpam-2058	205	58	,	,	PUNCT
ejpam-2058	205	59	l	l	PROPN
ejpam-2058	205	60	≤	≤	NUM
ejpam-2058	205	61	∞,∞	∞,∞	VERB
ejpam-2058	205	62	∑	∑	PROPN
ejpam-2058	205	63	k	k	PROPN
ejpam-2058	205	64	,	,	PUNCT
ejpam-2058	205	65	l=0,0	l=0,0	NOUN
ejpam-2058	205	66	am	be	AUX
ejpam-2058	205	67	,	,	PUNCT
ejpam-2058	205	68	n	n	CCONJ
ejpam-2058	205	69	,	,	PUNCT
ejpam-2058	205	70	k	k	NOUN
ejpam-2058	205	71	,	,	PUNCT
ejpam-2058	205	72	l	l	PROPN
ejpam-2058	205	73	�	�	PROPN
ejpam-2058	205	74	m	m	PROPN
ejpam-2058	205	75	�	�	PROPN
ejpam-2058	205	76	|∆r	|∆r	PROPN
ejpam-2058	205	77	xk	xk	PROPN
ejpam-2058	205	78	,	,	PUNCT
ejpam-2058	205	79	l	l	PROPN
ejpam-2058	205	80	|	|	PROPN
ejpam-2058	205	81	ρ	ρ	PROPN
ejpam-2058	205	82	�	�	PROPN
ejpam-2058	205	83	�	�	PROPN
ejpam-2058	205	84	pk	pk	NOUN
ejpam-2058	205	85	,	,	PUNCT
ejpam-2058	205	86	l	l	NOUN
ejpam-2058	205	87	which	which	PRON
ejpam-2058	205	88	leads	lead	VERB
ejpam-2058	205	89	us	we	PRON
ejpam-2058	205	90	to	to	ADP
ejpam-2058	205	91	the	the	DET
ejpam-2058	205	92	desired	desire	VERB
ejpam-2058	205	93	results	result	NOUN
ejpam-2058	205	94	.	.	PUNCT
ejpam-2058	206	1	4	4	X
ejpam-2058	206	2	.	.	X
ejpam-2058	206	3	double	double	ADJ
ejpam-2058	206	4	∆r−	∆r−	ADJ
ejpam-2058	206	5	statistical	statistical	ADJ
ejpam-2058	206	6	convergence	convergence	NOUN
ejpam-2058	206	7	the	the	DET
ejpam-2058	206	8	concept	concept	NOUN
ejpam-2058	206	9	of	of	ADP
ejpam-2058	206	10	statistical	statistical	ADJ
ejpam-2058	206	11	convergence	convergence	NOUN
ejpam-2058	206	12	for	for	ADP
ejpam-2058	206	13	single	single	ADJ
ejpam-2058	206	14	sequences	sequence	NOUN
ejpam-2058	206	15	was	be	AUX
ejpam-2058	206	16	introduced	introduce	VERB
ejpam-2058	206	17	by	by	ADP
ejpam-2058	206	18	fast	fast	ADJ
ejpam-2058	206	19	[	[	X
ejpam-2058	206	20	3	3	NUM
ejpam-2058	206	21	]	]	PUNCT
ejpam-2058	206	22	in	in	ADP
ejpam-2058	206	23	1951	1951	NUM
ejpam-2058	206	24	.	.	PUNCT
ejpam-2058	207	1	later	later	ADV
ejpam-2058	207	2	,	,	PUNCT
ejpam-2058	207	3	mursaleen	mursaleen	NOUN
ejpam-2058	207	4	and	and	CCONJ
ejpam-2058	207	5	edely	edely	ADV
ejpam-2058	208	1	[	[	X
ejpam-2058	208	2	7	7	NUM
ejpam-2058	208	3	]	]	PUNCT
ejpam-2058	208	4	defined	define	VERB
ejpam-2058	208	5	the	the	DET
ejpam-2058	208	6	statistical	statistical	ADJ
ejpam-2058	208	7	analogue	analogue	NOUN
ejpam-2058	208	8	for	for	ADP
ejpam-2058	208	9	double	double	ADJ
ejpam-2058	208	10	sequence	sequence	NOUN
ejpam-2058	208	11	x	x	X
ejpam-2058	208	12	=	=	SYM
ejpam-2058	208	13	�	�	PROPN
ejpam-2058	208	14	xk	xk	PROPN
ejpam-2058	208	15	,	,	PUNCT
ejpam-2058	208	16	l	l	PROPN
ejpam-2058	208	17	�	�	PROPN
ejpam-2058	208	18	as	as	SCONJ
ejpam-2058	208	19	follows	follow	VERB
ejpam-2058	208	20	:	:	PUNCT
ejpam-2058	208	21	a	a	DET
ejpam-2058	208	22	real	real	ADJ
ejpam-2058	208	23	double	double	ADJ
ejpam-2058	208	24	sequence	sequence	NOUN
ejpam-2058	208	25	x	x	X
ejpam-2058	208	26	=	=	SYM
ejpam-2058	208	27	�	�	PROPN
ejpam-2058	208	28	xk	xk	PROPN
ejpam-2058	208	29	,	,	PUNCT
ejpam-2058	208	30	l	l	PROPN
ejpam-2058	208	31	�	�	PROPN
ejpam-2058	208	32	is	be	AUX
ejpam-2058	208	33	said	say	VERB
ejpam-2058	208	34	to	to	PART
ejpam-2058	208	35	be	be	AUX
ejpam-2058	208	36	p	p	ADJ
ejpam-2058	208	37	-	-	PUNCT
ejpam-2058	208	38	statistically	statistically	ADV
ejpam-2058	208	39	convergent	convergent	NOUN
ejpam-2058	208	40	to	to	AUX
ejpam-2058	208	41	l	l	PROPN
ejpam-2058	208	42	provided	provide	VERB
ejpam-2058	208	43	that	that	SCONJ
ejpam-2058	208	44	for	for	ADP
ejpam-2058	208	45	each	each	DET
ejpam-2058	208	46	ǫ	ǫ	PRON
ejpam-2058	208	47	>	>	X
ejpam-2058	208	48	0	0	PUNCT
ejpam-2058	209	1	p	p	NOUN
ejpam-2058	209	2	−	−	PROPN
ejpam-2058	209	3	lim	lim	PROPN
ejpam-2058	209	4	m	m	PROPN
ejpam-2058	209	5	,	,	PUNCT
ejpam-2058	209	6	n	n	PROPN
ejpam-2058	209	7	1	1	NUM
ejpam-2058	209	8	mn	mn	PROPN
ejpam-2058	209	9	�	�	PROPN
ejpam-2058	209	10	the	the	DET
ejpam-2058	209	11	number	number	NOUN
ejpam-2058	209	12	of	of	ADP
ejpam-2058	209	13	(	(	PUNCT
ejpam-2058	209	14	k	k	X
ejpam-2058	209	15	,	,	PUNCT
ejpam-2058	209	16	l	l	NOUN
ejpam-2058	209	17	)	)	PUNCT
ejpam-2058	209	18	:	:	PUNCT
ejpam-2058	210	1	k	k	X
ejpam-2058	210	2	<	<	X
ejpam-2058	210	3	m	m	PROPN
ejpam-2058	210	4	,	,	PUNCT
ejpam-2058	210	5	l	l	X
ejpam-2058	210	6	<	<	X
ejpam-2058	210	7	n	n	CCONJ
ejpam-2058	210	8	;	;	PUNCT
ejpam-2058	210	9	�	�	PROPN
ejpam-2058	210	10	�	�	PROPN
ejpam-2058	210	11	xk	xk	PROPN
ejpam-2058	210	12	,	,	PUNCT
ejpam-2058	210	13	l	l	NOUN
ejpam-2058	210	14	−	−	PROPN
ejpam-2058	210	15	l	l	X
ejpam-2058	210	16	�	�	PROPN
ejpam-2058	210	17	�	�	PROPN
ejpam-2058	210	18	≥	≥	PROPN
ejpam-2058	210	19	ǫ	ǫ	NOUN
ejpam-2058	210	20	=	=	NOUN
ejpam-2058	210	21	0	0	X
ejpam-2058	210	22	.	.	PUNCT
ejpam-2058	210	23	b.	b.	PROPN
ejpam-2058	210	24	hazarika	hazarika	PROPN
ejpam-2058	210	25	,	,	PUNCT
ejpam-2058	210	26	a.	a.	PROPN
ejpam-2058	210	27	esi	esi	PROPN
ejpam-2058	210	28	/	/	SYM
ejpam-2058	210	29	eur	eur	PROPN
ejpam-2058	210	30	.	.	PUNCT
ejpam-2058	211	1	j.	j.	PROPN
ejpam-2058	211	2	pure	pure	PROPN
ejpam-2058	211	3	appl	appl	PROPN
ejpam-2058	211	4	.	.	PROPN
ejpam-2058	211	5	math	math	PROPN
ejpam-2058	211	6	,	,	PUNCT
ejpam-2058	211	7	8	8	NUM
ejpam-2058	211	8	(	(	PUNCT
ejpam-2058	211	9	2015	2015	NUM
ejpam-2058	211	10	)	)	PUNCT
ejpam-2058	211	11	,	,	PUNCT
ejpam-2058	211	12	201	201	NUM
ejpam-2058	211	13	-	-	SYM
ejpam-2058	211	14	213	213	NUM
ejpam-2058	211	15	212	212	NUM
ejpam-2058	211	16	in	in	ADP
ejpam-2058	211	17	this	this	DET
ejpam-2058	211	18	case	case	NOUN
ejpam-2058	211	19	,	,	PUNCT
ejpam-2058	211	20	we	we	PRON
ejpam-2058	211	21	write	write	VERB
ejpam-2058	211	22	st2−	st2−	PROPN
ejpam-2058	211	23	limk	limk	PROPN
ejpam-2058	211	24	,	,	PUNCT
ejpam-2058	211	25	l	l	PROPN
ejpam-2058	211	26	xk	xk	PROPN
ejpam-2058	211	27	,	,	PUNCT
ejpam-2058	212	1	l	l	NOUN
ejpam-2058	212	2	=	=	SYM
ejpam-2058	212	3	l	l	NOUN
ejpam-2058	213	1	and	and	CCONJ
ejpam-2058	213	2	we	we	PRON
ejpam-2058	213	3	denote	denote	VERB
ejpam-2058	213	4	the	the	DET
ejpam-2058	213	5	set	set	NOUN
ejpam-2058	213	6	of	of	ADP
ejpam-2058	213	7	all	all	DET
ejpam-2058	213	8	p	p	ADJ
ejpam-2058	213	9	-	-	PUNCT
ejpam-2058	213	10	statistically	statistically	ADV
ejpam-2058	213	11	convergent	convergent	ADJ
ejpam-2058	213	12	double	double	ADJ
ejpam-2058	213	13	sequences	sequence	NOUN
ejpam-2058	213	14	by	by	ADP
ejpam-2058	213	15	st2	st2	NOUN
ejpam-2058	213	16	.	.	PUNCT
ejpam-2058	214	1	definition	definition	NOUN
ejpam-2058	214	2	3	3	NUM
ejpam-2058	214	3	.	.	PUNCT
ejpam-2058	215	1	a	a	DET
ejpam-2058	215	2	real	real	ADJ
ejpam-2058	215	3	double	double	ADJ
ejpam-2058	215	4	sequence	sequence	NOUN
ejpam-2058	215	5	x	x	X
ejpam-2058	215	6	=	=	SYM
ejpam-2058	215	7	�	�	PROPN
ejpam-2058	215	8	xk	xk	PROPN
ejpam-2058	215	9	,	,	PUNCT
ejpam-2058	215	10	l	l	PROPN
ejpam-2058	215	11	�	�	PROPN
ejpam-2058	215	12	is	be	AUX
ejpam-2058	215	13	said	say	VERB
ejpam-2058	215	14	to	to	PART
ejpam-2058	215	15	be	be	AUX
ejpam-2058	215	16	p	p	VERB
ejpam-2058	215	17	-	-	PUNCT
ejpam-2058	215	18	statistically	statistically	ADV
ejpam-2058	215	19	∆r	∆r	NOUN
ejpam-2058	215	20	-convergent	-convergent	ADJ
ejpam-2058	215	21	to	to	ADP
ejpam-2058	215	22	l	l	NOUN
ejpam-2058	215	23	provided	provide	VERB
ejpam-2058	215	24	that	that	SCONJ
ejpam-2058	215	25	for	for	ADP
ejpam-2058	215	26	each	each	DET
ejpam-2058	215	27	ǫ	ǫ	PRON
ejpam-2058	215	28	>	>	X
ejpam-2058	215	29	0	0	PUNCT
ejpam-2058	216	1	p	p	NOUN
ejpam-2058	216	2	−	−	PROPN
ejpam-2058	216	3	lim	lim	PROPN
ejpam-2058	216	4	m	m	PROPN
ejpam-2058	216	5	,	,	PUNCT
ejpam-2058	216	6	n	n	PROPN
ejpam-2058	216	7	1	1	NUM
ejpam-2058	216	8	mn	mn	PROPN
ejpam-2058	216	9	�	�	PROPN
ejpam-2058	216	10	the	the	DET
ejpam-2058	216	11	number	number	NOUN
ejpam-2058	216	12	of	of	ADP
ejpam-2058	216	13	(	(	PUNCT
ejpam-2058	216	14	k	k	X
ejpam-2058	216	15	,	,	PUNCT
ejpam-2058	216	16	l	l	NOUN
ejpam-2058	216	17	)	)	PUNCT
ejpam-2058	216	18	:	:	PUNCT
ejpam-2058	217	1	k	k	X
ejpam-2058	217	2	<	<	X
ejpam-2058	217	3	m	m	PROPN
ejpam-2058	217	4	,	,	PUNCT
ejpam-2058	217	5	l	l	X
ejpam-2058	217	6	<	<	X
ejpam-2058	217	7	n	n	CCONJ
ejpam-2058	217	8	;	;	PUNCT
ejpam-2058	217	9	�	�	PROPN
ejpam-2058	217	10	�	�	PROPN
ejpam-2058	217	11	∆r	∆r	NOUN
ejpam-2058	217	12	xk	xk	PROPN
ejpam-2058	217	13	,	,	PUNCT
ejpam-2058	217	14	l	l	NOUN
ejpam-2058	217	15	−	−	PROPN
ejpam-2058	217	16	l	l	X
ejpam-2058	217	17	�	�	PROPN
ejpam-2058	217	18	�	�	PROPN
ejpam-2058	217	19	≥	≥	PROPN
ejpam-2058	217	20	ǫ	ǫ	NOUN
ejpam-2058	217	21	=	=	NOUN
ejpam-2058	217	22	0	0	X
ejpam-2058	217	23	.	.	PUNCT
ejpam-2058	218	1	in	in	ADP
ejpam-2058	218	2	this	this	DET
ejpam-2058	218	3	case	case	NOUN
ejpam-2058	218	4	,	,	PUNCT
ejpam-2058	218	5	we	we	PRON
ejpam-2058	218	6	write	write	VERB
ejpam-2058	218	7	st2(∆	st2(∆	PROPN
ejpam-2058	218	8	r	r	NOUN
ejpam-2058	218	9	)	)	PUNCT
ejpam-2058	218	10	−	−	NOUN
ejpam-2058	218	11	limk	limk	NOUN
ejpam-2058	218	12	,	,	PUNCT
ejpam-2058	218	13	l	l	PROPN
ejpam-2058	218	14	xk	xk	PROPN
ejpam-2058	218	15	,	,	PUNCT
ejpam-2058	218	16	l	l	NOUN
ejpam-2058	218	17	=	=	SYM
ejpam-2058	219	1	l	l	NOUN
ejpam-2058	220	1	and	and	CCONJ
ejpam-2058	220	2	we	we	PRON
ejpam-2058	220	3	denote	denote	VERB
ejpam-2058	220	4	the	the	DET
ejpam-2058	220	5	set	set	NOUN
ejpam-2058	220	6	of	of	ADP
ejpam-2058	220	7	all	all	DET
ejpam-2058	220	8	p	p	NOUN
ejpam-2058	220	9	-	-	PUNCT
ejpam-2058	220	10	statistically	statistically	ADV
ejpam-2058	220	11	∆r	∆r	NOUN
ejpam-2058	220	12	convergent	convergent	VERB
ejpam-2058	220	13	double	double	ADJ
ejpam-2058	220	14	sequences	sequence	NOUN
ejpam-2058	220	15	by	by	ADP
ejpam-2058	220	16	st2(∆	st2(∆	PROPN
ejpam-2058	220	17	r	r	NOUN
ejpam-2058	220	18	)	)	PUNCT
ejpam-2058	220	19	.	.	PUNCT
ejpam-2058	221	1	theorem	theorem	ADJ
ejpam-2058	221	2	8	8	NUM
ejpam-2058	221	3	.	.	PUNCT
ejpam-2058	222	1	if	if	SCONJ
ejpam-2058	222	2	m	m	NOUN
ejpam-2058	222	3	be	be	VERB
ejpam-2058	222	4	an	an	DET
ejpam-2058	222	5	orlicz	orlicz	ADJ
ejpam-2058	222	6	function	function	NOUN
ejpam-2058	222	7	,	,	PUNCT
ejpam-2058	222	8	then	then	ADV
ejpam-2058	222	9	w2	w2	NOUN
ejpam-2058	222	10	[	[	X
ejpam-2058	222	11	m	m	X
ejpam-2058	222	12	]	]	X
ejpam-2058	222	13	(	(	PUNCT
ejpam-2058	222	14	∆r	∆r	NOUN
ejpam-2058	222	15	)	)	PUNCT
ejpam-2058	222	16	⊂	⊂	PROPN
ejpam-2058	223	1	st2(∆	st2(∆	PROPN
ejpam-2058	223	2	r	r	NOUN
ejpam-2058	223	3	)	)	PUNCT
ejpam-2058	223	4	.	.	PUNCT
ejpam-2058	224	1	proof	proof	NOUN
ejpam-2058	224	2	.	.	PUNCT
ejpam-2058	225	1	suppose	suppose	VERB
ejpam-2058	225	2	that	that	SCONJ
ejpam-2058	225	3	x	x	X
ejpam-2058	225	4	=	=	SYM
ejpam-2058	225	5	�	�	PROPN
ejpam-2058	225	6	xk	xk	PROPN
ejpam-2058	225	7	,	,	PUNCT
ejpam-2058	225	8	l	l	PROPN
ejpam-2058	225	9	�	�	PROPN
ejpam-2058	225	10	∈	∈	PROPN
ejpam-2058	225	11	w2	w2	NOUN
ejpam-2058	225	12	[	[	X
ejpam-2058	225	13	m	m	X
ejpam-2058	225	14	]	]	X
ejpam-2058	225	15	(	(	PUNCT
ejpam-2058	225	16	∆r	∆r	NOUN
ejpam-2058	225	17	)	)	PUNCT
ejpam-2058	225	18	and	and	CCONJ
ejpam-2058	225	19	ǫ	ǫ	ADJ
ejpam-2058	225	20	>	>	X
ejpam-2058	225	21	0	0	NUM
ejpam-2058	225	22	,	,	PUNCT
ejpam-2058	225	23	then	then	ADV
ejpam-2058	225	24	we	we	PRON
ejpam-2058	225	25	obtain	obtain	VERB
ejpam-2058	225	26	the	the	DET
ejpam-2058	225	27	following	following	NOUN
ejpam-2058	225	28	for	for	ADP
ejpam-2058	225	29	every	every	DET
ejpam-2058	225	30	n	n	NOUN
ejpam-2058	225	31	and	and	CCONJ
ejpam-2058	225	32	m	m	PROPN
ejpam-2058	225	33	1	1	NUM
ejpam-2058	225	34	mn	mn	NOUN
ejpam-2058	225	35	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	225	36	∑	∑	PROPN
ejpam-2058	225	37	k	k	PROPN
ejpam-2058	225	38	,	,	PUNCT
ejpam-2058	225	39	l=0,0	l=0,0	NOUN
ejpam-2058	225	40	m	m	VERB
ejpam-2058	225	41	�	�	PROPN
ejpam-2058	225	42	�	�	PROPN
ejpam-2058	225	43	�	�	PROPN
ejpam-2058	225	44	∆r	∆r	NOUN
ejpam-2058	225	45	xk	xk	PROPN
ejpam-2058	225	46	,	,	PUNCT
ejpam-2058	225	47	l	l	NOUN
ejpam-2058	225	48	−	−	PROPN
ejpam-2058	225	49	l	l	X
ejpam-2058	225	50	�	�	PROPN
ejpam-2058	225	51	�	�	PROPN
ejpam-2058	225	52	ρ	ρ	PROPN
ejpam-2058	225	53	�	�	PROPN
ejpam-2058	225	54	≥	≥	PROPN
ejpam-2058	225	55	1	1	NUM
ejpam-2058	225	56	mn	mn	NOUN
ejpam-2058	225	57	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	225	58	∑	∑	PROPN
ejpam-2058	225	59	k	k	PROPN
ejpam-2058	225	60	,	,	PUNCT
ejpam-2058	225	61	l=0,0	l=0,0	NOUN
ejpam-2058	225	62	&	&	CCONJ
ejpam-2058	225	63	|∆r	|∆r	PROPN
ejpam-2058	225	64	xk	xk	PROPN
ejpam-2058	225	65	,	,	PUNCT
ejpam-2058	225	66	l−l|≥ǫ	l−l|≥ǫ	VERB
ejpam-2058	225	67	m	m	VERB
ejpam-2058	225	68	�	�	PROPN
ejpam-2058	225	69	�	�	PROPN
ejpam-2058	225	70	�	�	PROPN
ejpam-2058	225	71	∆r	∆r	NOUN
ejpam-2058	225	72	xk	xk	PROPN
ejpam-2058	225	73	,	,	PUNCT
ejpam-2058	225	74	l	l	NOUN
ejpam-2058	225	75	−	−	PROPN
ejpam-2058	225	76	l	l	X
ejpam-2058	225	77	�	�	PROPN
ejpam-2058	225	78	�	�	PROPN
ejpam-2058	225	79	ρ	ρ	PROPN
ejpam-2058	225	80	�	�	PROPN
ejpam-2058	225	81	≥m	≥m	NOUN
ejpam-2058	225	82	(	(	PUNCT
ejpam-2058	225	83	ǫ	ǫ	NOUN
ejpam-2058	225	84	)	)	PUNCT
ejpam-2058	225	85	mn	mn	PROPN
ejpam-2058	225	86	�	�	PROPN
ejpam-2058	225	87	the	the	DET
ejpam-2058	225	88	number	number	NOUN
ejpam-2058	225	89	of	of	ADP
ejpam-2058	225	90	(	(	PUNCT
ejpam-2058	225	91	k	k	X
ejpam-2058	225	92	,	,	PUNCT
ejpam-2058	225	93	l	l	NOUN
ejpam-2058	225	94	)	)	PUNCT
ejpam-2058	225	95	:	:	PUNCT
ejpam-2058	226	1	k	k	X
ejpam-2058	226	2	<	<	X
ejpam-2058	226	3	m	m	PROPN
ejpam-2058	226	4	,	,	PUNCT
ejpam-2058	226	5	l	l	X
ejpam-2058	226	6	<	<	X
ejpam-2058	226	7	n	n	CCONJ
ejpam-2058	226	8	;	;	PUNCT
ejpam-2058	226	9	�	�	PROPN
ejpam-2058	226	10	�	�	PROPN
ejpam-2058	226	11	∆r	∆r	NOUN
ejpam-2058	226	12	xk	xk	PROPN
ejpam-2058	226	13	,	,	PUNCT
ejpam-2058	226	14	l	l	NOUN
ejpam-2058	226	15	−	−	PROPN
ejpam-2058	226	16	l	l	X
ejpam-2058	226	17	�	�	PROPN
ejpam-2058	226	18	�	�	PROPN
ejpam-2058	226	19	≥	≥	NUM
ejpam-2058	226	20	ǫ	ǫ	NOUN
ejpam-2058	226	21	.	.	PUNCT
ejpam-2058	227	1	hence	hence	ADV
ejpam-2058	227	2	x	x	X
ejpam-2058	227	3	=	=	SYM
ejpam-2058	227	4	�	�	PROPN
ejpam-2058	227	5	xk	xk	PROPN
ejpam-2058	227	6	,	,	PUNCT
ejpam-2058	227	7	l	l	PROPN
ejpam-2058	227	8	�	�	PROPN
ejpam-2058	227	9	∈	∈	PROPN
ejpam-2058	227	10	st2(∆	st2(∆	PROPN
ejpam-2058	227	11	r	r	NOUN
ejpam-2058	227	12	)	)	PUNCT
ejpam-2058	227	13	.	.	PUNCT
ejpam-2058	228	1	theorem	theorem	VERB
ejpam-2058	228	2	9	9	NUM
ejpam-2058	228	3	.	.	X
ejpam-2058	229	1	st2(∆	st2(∆	ADP
ejpam-2058	229	2	r	r	NOUN
ejpam-2058	229	3	)	)	PUNCT
ejpam-2058	229	4	=	=	NOUN
ejpam-2058	229	5	w2	w2	NOUN
ejpam-2058	229	6	o	o	NOUN
ejpam-2058	229	7	[	[	X
ejpam-2058	229	8	m	m	X
ejpam-2058	229	9	]	]	X
ejpam-2058	229	10	(	(	PUNCT
ejpam-2058	229	11	∆	∆	X
ejpam-2058	229	12	r	r	X
ejpam-2058	229	13	)	)	PUNCT
ejpam-2058	229	14	if	if	SCONJ
ejpam-2058	229	15	and	and	CCONJ
ejpam-2058	229	16	only	only	ADV
ejpam-2058	229	17	if	if	SCONJ
ejpam-2058	229	18	the	the	DET
ejpam-2058	229	19	orlicz	orlicz	NOUN
ejpam-2058	229	20	function	function	NOUN
ejpam-2058	229	21	m	m	VERB
ejpam-2058	229	22	is	be	AUX
ejpam-2058	229	23	bounded	bound	VERB
ejpam-2058	229	24	.	.	PUNCT
ejpam-2058	230	1	proof	proof	NOUN
ejpam-2058	230	2	.	.	PUNCT
ejpam-2058	231	1	suppose	suppose	VERB
ejpam-2058	231	2	that	that	SCONJ
ejpam-2058	231	3	m	m	PROPN
ejpam-2058	231	4	is	be	AUX
ejpam-2058	231	5	bounded	bound	VERB
ejpam-2058	231	6	and	and	CCONJ
ejpam-2058	231	7	x	x	SYM
ejpam-2058	231	8	=	=	SYM
ejpam-2058	231	9	�	�	PROPN
ejpam-2058	231	10	xk	xk	PROPN
ejpam-2058	231	11	,	,	PUNCT
ejpam-2058	231	12	l	l	PROPN
ejpam-2058	231	13	�	�	PROPN
ejpam-2058	231	14	∈	∈	PROPN
ejpam-2058	231	15	st2(∆	st2(∆	PROPN
ejpam-2058	231	16	r	r	NOUN
ejpam-2058	231	17	)	)	PUNCT
ejpam-2058	231	18	.	.	PUNCT
ejpam-2058	232	1	since	since	SCONJ
ejpam-2058	232	2	m	m	PROPN
ejpam-2058	232	3	is	be	AUX
ejpam-2058	232	4	bounded	bound	VERB
ejpam-2058	232	5	then	then	ADV
ejpam-2058	232	6	there	there	PRON
ejpam-2058	232	7	exists	exist	VERB
ejpam-2058	232	8	an	an	DET
ejpam-2058	232	9	integer	integer	NOUN
ejpam-2058	232	10	k	k	PROPN
ejpam-2058	232	11	such	such	ADJ
ejpam-2058	232	12	that	that	DET
ejpam-2058	232	13	m(x)≤	m(x)≤	PROPN
ejpam-2058	232	14	k	k	PROPN
ejpam-2058	232	15	,	,	PUNCT
ejpam-2058	232	16	for	for	ADP
ejpam-2058	232	17	all	all	PRON
ejpam-2058	232	18	x	x	PRON
ejpam-2058	232	19	≥	≥	NOUN
ejpam-2058	232	20	0	0	NUM
ejpam-2058	232	21	.	.	PUNCT
ejpam-2058	233	1	then	then	ADV
ejpam-2058	233	2	for	for	ADP
ejpam-2058	233	3	each	each	DET
ejpam-2058	233	4	m	m	NOUN
ejpam-2058	233	5	and	and	CCONJ
ejpam-2058	233	6	n	n	CCONJ
ejpam-2058	233	7	,	,	PUNCT
ejpam-2058	233	8	we	we	PRON
ejpam-2058	233	9	have	have	VERB
ejpam-2058	233	10	1	1	NUM
ejpam-2058	233	11	mn	mn	NOUN
ejpam-2058	233	12	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	233	13	∑	∑	PROPN
ejpam-2058	233	14	k	k	PROPN
ejpam-2058	233	15	,	,	PUNCT
ejpam-2058	233	16	l=0,0	l=0,0	NOUN
ejpam-2058	233	17	m	m	VERB
ejpam-2058	233	18	�	�	PROPN
ejpam-2058	233	19	�	�	PROPN
ejpam-2058	233	20	�	�	PROPN
ejpam-2058	233	21	∆r	∆r	NOUN
ejpam-2058	233	22	xk	xk	PROPN
ejpam-2058	233	23	,	,	PUNCT
ejpam-2058	233	24	l	l	PROPN
ejpam-2058	233	25	�	�	PROPN
ejpam-2058	233	26	�	�	PROPN
ejpam-2058	233	27	ρ	ρ	PROPN
ejpam-2058	233	28	�	�	PROPN
ejpam-2058	233	29	=	=	SYM
ejpam-2058	233	30	1	1	NUM
ejpam-2058	233	31	mn	mn	NOUN
ejpam-2058	233	32	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	233	33	∑	∑	PROPN
ejpam-2058	233	34	k	k	PROPN
ejpam-2058	233	35	,	,	PUNCT
ejpam-2058	233	36	l=0,0	l=0,0	NOUN
ejpam-2058	233	37	&	&	CCONJ
ejpam-2058	233	38	|∆r	|∆r	PROPN
ejpam-2058	233	39	xk	xk	PROPN
ejpam-2058	233	40	,	,	PUNCT
ejpam-2058	233	41	l−l|≥ǫ	l−l|≥ǫ	VERB
ejpam-2058	233	42	m	m	VERB
ejpam-2058	233	43	�	�	PROPN
ejpam-2058	233	44	�	�	PROPN
ejpam-2058	233	45	�	�	PROPN
ejpam-2058	233	46	∆r	∆r	NOUN
ejpam-2058	233	47	xk	xk	PROPN
ejpam-2058	233	48	,	,	PUNCT
ejpam-2058	233	49	l	l	PROPN
ejpam-2058	233	50	�	�	PROPN
ejpam-2058	233	51	�	�	PROPN
ejpam-2058	233	52	ρ	ρ	PROPN
ejpam-2058	233	53	�	�	PROPN
ejpam-2058	233	54	+	+	CCONJ
ejpam-2058	233	55	1	1	NUM
ejpam-2058	233	56	mn	mn	NOUN
ejpam-2058	233	57	m−1,n−1	m−1,n−1	PROPN
ejpam-2058	233	58	∑	∑	PROPN
ejpam-2058	233	59	k	k	PROPN
ejpam-2058	233	60	,	,	PUNCT
ejpam-2058	233	61	l=0,0	l=0,0	NOUN
ejpam-2058	233	62	&	&	CCONJ
ejpam-2058	233	63	|∆r	|∆r	PROPN
ejpam-2058	233	64	xk	xk	PROPN
ejpam-2058	233	65	,	,	PUNCT
ejpam-2058	233	66	l−l|<ǫ	l−l|<ǫ	PROPN
ejpam-2058	233	67	m	m	PROPN
ejpam-2058	233	68	�	�	PROPN
ejpam-2058	233	69	�	�	PROPN
ejpam-2058	233	70	�	�	PROPN
ejpam-2058	233	71	∆r	∆r	NOUN
ejpam-2058	233	72	xk	xk	PROPN
ejpam-2058	233	73	,	,	PUNCT
ejpam-2058	234	1	l	l	PROPN
ejpam-2058	234	2	�	�	PROPN
ejpam-2058	234	3	�	�	PROPN
ejpam-2058	234	4	ρ	ρ	PROPN
ejpam-2058	234	5	�	�	PROPN
ejpam-2058	234	6	≤	≤	PROPN
ejpam-2058	234	7	k	k	PROPN
ejpam-2058	234	8	mn	mn	PROPN
ejpam-2058	234	9	�	�	PROPN
ejpam-2058	234	10	the	the	DET
ejpam-2058	234	11	number	number	NOUN
ejpam-2058	234	12	of	of	ADP
ejpam-2058	234	13	(	(	PUNCT
ejpam-2058	234	14	k	k	X
ejpam-2058	234	15	,	,	PUNCT
ejpam-2058	234	16	l	l	NOUN
ejpam-2058	234	17	)	)	PUNCT
ejpam-2058	234	18	:	:	PUNCT
ejpam-2058	235	1	k	k	X
ejpam-2058	235	2	<	<	X
ejpam-2058	235	3	m	m	PROPN
ejpam-2058	235	4	,	,	PUNCT
ejpam-2058	235	5	l	l	X
ejpam-2058	235	6	<	<	X
ejpam-2058	235	7	n	n	CCONJ
ejpam-2058	235	8	;	;	PUNCT
ejpam-2058	235	9	�	�	PROPN
ejpam-2058	235	10	�	�	PROPN
ejpam-2058	235	11	∆r	∆r	NOUN
ejpam-2058	235	12	xk	xk	PROPN
ejpam-2058	235	13	,	,	PUNCT
ejpam-2058	235	14	l	l	PROPN
ejpam-2058	235	15	�	�	PROPN
ejpam-2058	235	16	�	�	PROPN
ejpam-2058	235	17	≥	≥	PROPN
ejpam-2058	235	18	ǫ	ǫ	NOUN
ejpam-2058	235	19	+	+	NOUN
ejpam-2058	235	20	m	m	PROPN
ejpam-2058	235	21	(	(	PUNCT
ejpam-2058	235	22	ǫ	ǫ	NOUN
ejpam-2058	235	23	)	)	PUNCT
ejpam-2058	235	24	and	and	CCONJ
ejpam-2058	235	25	thus	thus	ADV
ejpam-2058	235	26	the	the	DET
ejpam-2058	235	27	pringsheim	pringsheim	NOUN
ejpam-2058	235	28	’s	’s	PART
ejpam-2058	235	29	limit	limit	NOUN
ejpam-2058	235	30	on	on	ADP
ejpam-2058	235	31	m	m	NOUN
ejpam-2058	235	32	and	and	CCONJ
ejpam-2058	235	33	n	n	CCONJ
ejpam-2058	235	34	grant	grant	VERB
ejpam-2058	235	35	us	we	PRON
ejpam-2058	235	36	the	the	DET
ejpam-2058	235	37	result	result	NOUN
ejpam-2058	235	38	.	.	PUNCT
ejpam-2058	236	1	conversely	conversely	ADV
ejpam-2058	236	2	,	,	PUNCT
ejpam-2058	236	3	suppose	suppose	VERB
ejpam-2058	236	4	that	that	SCONJ
ejpam-2058	236	5	m	m	NOUN
ejpam-2058	236	6	is	be	AUX
ejpam-2058	236	7	unbounded	unbounded	ADJ
ejpam-2058	236	8	so	so	SCONJ
ejpam-2058	236	9	that	that	SCONJ
ejpam-2058	236	10	there	there	PRON
ejpam-2058	236	11	is	be	VERB
ejpam-2058	236	12	a	a	DET
ejpam-2058	236	13	positive	positive	ADJ
ejpam-2058	236	14	double	double	ADJ
ejpam-2058	236	15	sequence	sequence	NOUN
ejpam-2058	236	16	�	�	PROPN
ejpam-2058	236	17	zmn	zmn	PROPN
ejpam-2058	236	18	�	�	PROPN
ejpam-2058	236	19	with	with	ADP
ejpam-2058	236	20	m	m	PROPN
ejpam-2058	236	21	�	�	PROPN
ejpam-2058	236	22	zmn	zmn	PROPN
ejpam-2058	236	23	�	�	PROPN
ejpam-2058	236	24	=	=	PUNCT
ejpam-2058	236	25	(	(	PUNCT
ejpam-2058	236	26	mn)2	mn)2	PROPN
ejpam-2058	236	27	for	for	ADP
ejpam-2058	236	28	m	m	PROPN
ejpam-2058	236	29	,	,	PUNCT
ejpam-2058	236	30	n=	n=	ADJ
ejpam-2058	236	31	1,2	1,2	NUM
ejpam-2058	236	32	,	,	PUNCT
ejpam-2058	236	33	.	.	PUNCT
ejpam-2058	236	34	.	.	PUNCT
ejpam-2058	237	1	..	..	PUNCT
ejpam-2058	238	1	now	now	ADV
ejpam-2058	238	2	the	the	DET
ejpam-2058	238	3	sequence	sequence	NOUN
ejpam-2058	238	4	x	x	NOUN
ejpam-2058	238	5	=	=	SYM
ejpam-2058	238	6	�	�	PROPN
ejpam-2058	238	7	xk	xk	PROPN
ejpam-2058	238	8	,	,	PUNCT
ejpam-2058	238	9	l	l	PROPN
ejpam-2058	238	10	�	�	PROPN
ejpam-2058	238	11	defined	define	VERB
ejpam-2058	238	12	by	by	ADP
ejpam-2058	238	13	∆r	∆r	NOUN
ejpam-2058	238	14	xk	xk	PROPN
ejpam-2058	238	15	,	,	PUNCT
ejpam-2058	238	16	l	l	NOUN
ejpam-2058	238	17	=	=	SYM
ejpam-2058	238	18	zmn	zmn	NOUN
ejpam-2058	238	19	if	if	SCONJ
ejpam-2058	238	20	k	k	X
ejpam-2058	238	21	,	,	PUNCT
ejpam-2058	238	22	l	l	NOUN
ejpam-2058	238	23	=	=	PUNCT
ejpam-2058	238	24	(	(	PUNCT
ejpam-2058	238	25	mn)2	mn)2	PROPN
ejpam-2058	238	26	for	for	ADP
ejpam-2058	238	27	m	m	PROPN
ejpam-2058	238	28	,	,	PUNCT
ejpam-2058	238	29	n=	n=	ADJ
ejpam-2058	238	30	1,2	1,2	NUM
ejpam-2058	238	31	,	,	PUNCT
ejpam-2058	238	32	.	.	PUNCT
ejpam-2058	238	33	.	.	PUNCT
ejpam-2058	238	34	.	.	PUNCT
ejpam-2058	239	1	and	and	CCONJ
ejpam-2058	239	2	∆r	∆r	NOUN
ejpam-2058	239	3	xk	xk	PROPN
ejpam-2058	239	4	,	,	PUNCT
ejpam-2058	239	5	l	l	NOUN
ejpam-2058	239	6	=	=	SYM
ejpam-2058	239	7	0	0	NUM
ejpam-2058	239	8	,	,	PUNCT
ejpam-2058	239	9	otherwise	otherwise	ADV
ejpam-2058	239	10	.	.	PUNCT
ejpam-2058	240	1	then	then	ADV
ejpam-2058	240	2	we	we	PRON
ejpam-2058	240	3	have	have	VERB
ejpam-2058	240	4	1	1	NUM
ejpam-2058	240	5	mn	mn	PROPN
ejpam-2058	240	6	�	�	PROPN
ejpam-2058	240	7	the	the	DET
ejpam-2058	240	8	number	number	NOUN
ejpam-2058	240	9	of	of	ADP
ejpam-2058	240	10	(	(	PUNCT
ejpam-2058	240	11	k	k	X
ejpam-2058	240	12	,	,	PUNCT
ejpam-2058	240	13	l	l	NOUN
ejpam-2058	240	14	)	)	PUNCT
ejpam-2058	240	15	:	:	PUNCT
ejpam-2058	241	1	k	k	X
ejpam-2058	241	2	<	<	X
ejpam-2058	241	3	m	m	PROPN
ejpam-2058	241	4	,	,	PUNCT
ejpam-2058	241	5	l	l	X
ejpam-2058	241	6	<	<	X
ejpam-2058	241	7	n	n	CCONJ
ejpam-2058	241	8	;	;	PUNCT
ejpam-2058	241	9	�	�	PROPN
ejpam-2058	241	10	�	�	PROPN
ejpam-2058	241	11	∆r	∆r	NOUN
ejpam-2058	241	12	xk	xk	PROPN
ejpam-2058	241	13	,	,	PUNCT
ejpam-2058	241	14	l	l	PROPN
ejpam-2058	241	15	�	�	PROPN
ejpam-2058	241	16	�	�	PROPN
ejpam-2058	241	17	≥	≥	PROPN
ejpam-2058	241	18	ǫ	ǫ	NOUN
ejpam-2058	241	19	≤	≤	PROPN
ejpam-2058	241	20	p	p	PROPN
ejpam-2058	241	21	mn	mn	PROPN
ejpam-2058	241	22	mn	mn	PROPN
ejpam-2058	241	23	→	→	PROPN
ejpam-2058	241	24	0	0	NUM
ejpam-2058	241	25	,	,	PUNCT
ejpam-2058	241	26	as	as	ADP
ejpam-2058	241	27	m	m	PROPN
ejpam-2058	241	28	,	,	PUNCT
ejpam-2058	241	29	n→∞.	n→∞.	ADJ
ejpam-2058	241	30	hence	hence	ADV
ejpam-2058	241	31	xk	xk	PROPN
ejpam-2058	241	32	,	,	PUNCT
ejpam-2058	241	33	l	l	PROPN
ejpam-2058	241	34	→	→	SYM
ejpam-2058	241	35	0	0	NUM
ejpam-2058	241	36	�	�	PROPN
ejpam-2058	241	37	st2(∆	st2(∆	PROPN
ejpam-2058	241	38	r	r	NOUN
ejpam-2058	241	39	)	)	PUNCT
ejpam-2058	241	40	�	�	PROPN
ejpam-2058	241	41	.	.	PUNCT
ejpam-2058	242	1	but	but	CCONJ
ejpam-2058	242	2	x	x	X
ejpam-2058	242	3	=	=	SYM
ejpam-2058	242	4	�	�	PROPN
ejpam-2058	242	5	xk	xk	PROPN
ejpam-2058	242	6	,	,	PUNCT
ejpam-2058	242	7	l	l	PROPN
ejpam-2058	242	8	�	�	PROPN
ejpam-2058	242	9	/∈	/∈	PROPN
ejpam-2058	242	10	w2	w2	NOUN
ejpam-2058	243	1	o	o	PROPN
ejpam-2058	244	1	[	[	X
ejpam-2058	244	2	m	m	AUX
ejpam-2058	244	3	]	]	X
ejpam-2058	244	4	(	(	PUNCT
ejpam-2058	244	5	∆	∆	X
ejpam-2058	244	6	r	r	X
ejpam-2058	244	7	)	)	PUNCT
ejpam-2058	244	8	,	,	PUNCT
ejpam-2058	244	9	contradicting	contradict	VERB
ejpam-2058	244	10	st2(∆	st2(∆	ADP
ejpam-2058	244	11	r	r	NOUN
ejpam-2058	244	12	)	)	PUNCT
ejpam-2058	244	13	=	=	NOUN
ejpam-2058	244	14	w2	w2	NOUN
ejpam-2058	244	15	o	o	NOUN
ejpam-2058	245	1	[	[	X
ejpam-2058	245	2	m	m	X
ejpam-2058	245	3	]	]	X
ejpam-2058	245	4	(	(	PUNCT
ejpam-2058	245	5	∆	∆	X
ejpam-2058	245	6	r	r	X
ejpam-2058	245	7	)	)	PUNCT
ejpam-2058	245	8	.	.	PUNCT
ejpam-2058	246	1	this	this	PRON
ejpam-2058	246	2	completes	complete	VERB
ejpam-2058	246	3	the	the	DET
ejpam-2058	246	4	proof	proof	NOUN
ejpam-2058	246	5	.	.	PUNCT
ejpam-2058	247	1	references	reference	NOUN
ejpam-2058	247	2	213	213	NUM
ejpam-2058	247	3	references	reference	NOUN
ejpam-2058	247	4	[	[	X
ejpam-2058	247	5	1	1	NUM
ejpam-2058	247	6	]	]	PUNCT
ejpam-2058	247	7	a.	a.	NOUN
ejpam-2058	247	8	esi	esi	PROPN
ejpam-2058	247	9	.	.	PROPN
ejpam-2058	248	1	on	on	ADP
ejpam-2058	248	2	some	some	DET
ejpam-2058	248	3	new	new	ADJ
ejpam-2058	248	4	difference	difference	NOUN
ejpam-2058	248	5	double	double	ADJ
ejpam-2058	248	6	sequence	sequence	NOUN
ejpam-2058	248	7	spaces	space	VERB
ejpam-2058	248	8	via	via	ADP
ejpam-2058	248	9	orlicz	orlicz	ADJ
ejpam-2058	248	10	function	function	NOUN
ejpam-2058	248	11	.	.	PUNCT
ejpam-2058	249	1	journal	journal	NOUN
ejpam-2058	249	2	of	of	ADP
ejpam-2058	249	3	advanced	advanced	ADJ
ejpam-2058	249	4	studies	study	NOUN
ejpam-2058	249	5	in	in	ADP
ejpam-2058	249	6	topology	topology	NOUN
ejpam-2058	249	7	,	,	PUNCT
ejpam-2058	249	8	2(2):16–25	2(2):16–25	NUM
ejpam-2058	249	9	,	,	PUNCT
ejpam-2058	249	10	2011	2011	NUM
ejpam-2058	249	11	.	.	PUNCT
ejpam-2058	250	1	[	[	X
ejpam-2058	250	2	2	2	NUM
ejpam-2058	250	3	]	]	PUNCT
ejpam-2058	250	4	m.	m.	NOUN
ejpam-2058	250	5	et	et	PROPN
ejpam-2058	250	6	and	and	CCONJ
ejpam-2058	250	7	r.	r.	PROPN
ejpam-2058	250	8	colak	colak	PROPN
ejpam-2058	250	9	.	.	PUNCT
ejpam-2058	251	1	on	on	ADP
ejpam-2058	251	2	generalized	generalized	ADJ
ejpam-2058	251	3	difference	difference	NOUN
ejpam-2058	251	4	sequence	sequence	NOUN
ejpam-2058	251	5	spaces	space	VERB
ejpam-2058	251	6	.	.	PUNCT
ejpam-2058	252	1	soochow	soochow	PROPN
ejpam-2058	252	2	journal	journal	PROPN
ejpam-2058	252	3	of	of	ADP
ejpam-2058	252	4	mathematics	mathematic	NOUN
ejpam-2058	252	5	,	,	PUNCT
ejpam-2058	252	6	21(4):377–386	21(4):377–386	NUM
ejpam-2058	252	7	,	,	PUNCT
ejpam-2058	252	8	1995	1995	NUM
ejpam-2058	252	9	.	.	PUNCT
ejpam-2058	253	1	[	[	X
ejpam-2058	253	2	3	3	X
ejpam-2058	253	3	]	]	X
ejpam-2058	253	4	h.	h.	NOUN
ejpam-2058	253	5	fast	fast	ADV
ejpam-2058	253	6	.	.	PUNCT
ejpam-2058	254	1	sur	sur	PROPN
ejpam-2058	254	2	la	la	PROPN
ejpam-2058	254	3	convergence	convergence	NOUN
ejpam-2058	254	4	statistique	statistique	NOUN
ejpam-2058	254	5	.	.	PUNCT
ejpam-2058	255	1	colloquium	colloquium	NOUN
ejpam-2058	255	2	mathematicum	mathematicum	NOUN
ejpam-2058	255	3	,	,	PUNCT
ejpam-2058	255	4	2:241–244	2:241–244	NUM
ejpam-2058	255	5	,	,	PUNCT
ejpam-2058	255	6	1951	1951	NUM
ejpam-2058	255	7	.	.	PUNCT
ejpam-2058	256	1	[	[	X
ejpam-2058	256	2	4	4	X
ejpam-2058	256	3	]	]	PUNCT
ejpam-2058	256	4	h.	h.	PROPN
ejpam-2058	256	5	j.	j.	PROPN
ejpam-2058	256	6	hamilton	hamilton	PROPN
ejpam-2058	256	7	.	.	PUNCT
ejpam-2058	257	1	transformations	transformation	NOUN
ejpam-2058	257	2	of	of	ADP
ejpam-2058	257	3	multiple	multiple	ADJ
ejpam-2058	257	4	sequences	sequence	NOUN
ejpam-2058	257	5	.	.	PUNCT
ejpam-2058	258	1	duke	duke	PROPN
ejpam-2058	258	2	mathematical	mathematical	PROPN
ejpam-2058	258	3	journal	journal	PROPN
ejpam-2058	258	4	,	,	PUNCT
ejpam-2058	258	5	2:29–60	2:29–60	PROPN
ejpam-2058	258	6	,	,	PUNCT
ejpam-2058	258	7	1936	1936	NUM
ejpam-2058	258	8	.	.	PUNCT
ejpam-2058	259	1	[	[	X
ejpam-2058	259	2	5	5	X
ejpam-2058	259	3	]	]	PUNCT
ejpam-2058	259	4	h.	h.	PROPN
ejpam-2058	259	5	kizmaz	kizmaz	PROPN
ejpam-2058	259	6	.	.	PUNCT
ejpam-2058	260	1	on	on	ADP
ejpam-2058	260	2	certain	certain	ADJ
ejpam-2058	260	3	sequence	sequence	NOUN
ejpam-2058	260	4	spaces	space	NOUN
ejpam-2058	260	5	.	.	PUNCT
ejpam-2058	261	1	canadian	canadian	ADJ
ejpam-2058	261	2	mathematical	mathematical	ADJ
ejpam-2058	261	3	bulletin	bulletin	NOUN
ejpam-2058	261	4	,	,	PUNCT
ejpam-2058	261	5	24(2):169–176	24(2):169–176	PROPN
ejpam-2058	261	6	,	,	PUNCT
ejpam-2058	261	7	1981	1981	NUM
ejpam-2058	261	8	.	.	PUNCT
ejpam-2058	262	1	[	[	X
ejpam-2058	262	2	6	6	X
ejpam-2058	262	3	]	]	PUNCT
ejpam-2058	262	4	j.	j.	PROPN
ejpam-2058	262	5	lindenstrauss	lindenstrauss	PROPN
ejpam-2058	262	6	and	and	CCONJ
ejpam-2058	262	7	l.	l.	PROPN
ejpam-2058	262	8	tzafriri	tzafriri	PROPN
ejpam-2058	262	9	.	.	PUNCT
ejpam-2058	263	1	on	on	ADP
ejpam-2058	263	2	orlicz	orlicz	ADJ
ejpam-2058	263	3	sequence	sequence	NOUN
ejpam-2058	263	4	spaces	space	VERB
ejpam-2058	263	5	.	.	PUNCT
ejpam-2058	264	1	israel	israel	PROPN
ejpam-2058	264	2	journal	journal	PROPN
ejpam-2058	264	3	of	of	ADP
ejpam-2058	264	4	mathematics	mathematic	NOUN
ejpam-2058	264	5	,	,	PUNCT
ejpam-2058	264	6	10:379–390	10:379–390	NUM
ejpam-2058	264	7	,	,	PUNCT
ejpam-2058	264	8	1971	1971	NUM
ejpam-2058	264	9	.	.	PUNCT
ejpam-2058	265	1	[	[	X
ejpam-2058	265	2	7	7	X
ejpam-2058	265	3	]	]	X
ejpam-2058	265	4	m.	m.	NOUN
ejpam-2058	265	5	mursaleen	mursaleen	PROPN
ejpam-2058	265	6	and	and	CCONJ
ejpam-2058	265	7	o.	o.	PROPN
ejpam-2058	265	8	h.	h.	PROPN
ejpam-2058	265	9	edely	edely	PROPN
ejpam-2058	265	10	.	.	PUNCT
ejpam-2058	266	1	statistical	statistical	ADJ
ejpam-2058	266	2	convergence	convergence	NOUN
ejpam-2058	266	3	of	of	ADP
ejpam-2058	266	4	double	double	ADJ
ejpam-2058	266	5	sequences	sequence	NOUN
ejpam-2058	266	6	.	.	PUNCT
ejpam-2058	267	1	journal	journal	PROPN
ejpam-2058	267	2	of	of	ADP
ejpam-2058	267	3	mathematical	mathematical	ADJ
ejpam-2058	267	4	analysis	analysis	NOUN
ejpam-2058	267	5	and	and	CCONJ
ejpam-2058	267	6	applications	application	NOUN
ejpam-2058	267	7	,	,	PUNCT
ejpam-2058	267	8	288(1):223–231	288(1):223–231	NUM
ejpam-2058	267	9	,	,	PUNCT
ejpam-2058	267	10	2003	2003	NUM
ejpam-2058	267	11	.	.	PUNCT
ejpam-2058	268	1	[	[	X
ejpam-2058	268	2	8	8	X
ejpam-2058	268	3	]	]	PUNCT
ejpam-2058	268	4	s.	s.	PROPN
ejpam-2058	268	5	d.	d.	PROPN
ejpam-2058	268	6	parashar	parashar	PROPN
ejpam-2058	268	7	and	and	CCONJ
ejpam-2058	268	8	b.	b.	PROPN
ejpam-2058	268	9	choudhary	choudhary	PROPN
ejpam-2058	268	10	.	.	PUNCT
ejpam-2058	269	1	sequence	sequence	NOUN
ejpam-2058	269	2	spaces	space	NOUN
ejpam-2058	269	3	defined	define	VERB
ejpam-2058	269	4	by	by	ADP
ejpam-2058	269	5	orlicz	orlicz	ADJ
ejpam-2058	269	6	functions	function	NOUN
ejpam-2058	269	7	.	.	PUNCT
ejpam-2058	270	1	indian	indian	ADJ
ejpam-2058	270	2	journal	journal	PROPN
ejpam-2058	270	3	of	of	ADP
ejpam-2058	270	4	pure	pure	ADJ
ejpam-2058	270	5	and	and	CCONJ
ejpam-2058	270	6	applied	applied	ADJ
ejpam-2058	270	7	mathematics	mathematic	NOUN
ejpam-2058	270	8	,	,	PUNCT
ejpam-2058	270	9	25:419–428	25:419–428	NUM
ejpam-2058	270	10	,	,	PUNCT
ejpam-2058	270	11	1994	1994	NUM
ejpam-2058	270	12	.	.	PUNCT
ejpam-2058	271	1	[	[	X
ejpam-2058	271	2	9	9	NUM
ejpam-2058	271	3	]	]	PUNCT
ejpam-2058	271	4	a.	a.	NOUN
ejpam-2058	271	5	pringsheim	pringsheim	NOUN
ejpam-2058	271	6	.	.	PUNCT
ejpam-2058	272	1	zur	zur	PROPN
ejpam-2058	272	2	theorie	theorie	PROPN
ejpam-2058	272	3	der	der	NOUN
ejpam-2058	272	4	zweifach	zweifach	PROPN
ejpam-2058	272	5	unendlichen	unendlichen	SCONJ
ejpam-2058	272	6	zahlenfolgen	zahlenfolgen	PROPN
ejpam-2058	272	7	.	.	PUNCT
ejpam-2058	273	1	mathematicsche	mathematicsche	PROPN
ejpam-2058	273	2	annalen	annalen	PROPN
ejpam-2058	273	3	,	,	PUNCT
ejpam-2058	273	4	53:289–321	53:289–321	PROPN
ejpam-2058	273	5	,	,	PUNCT
ejpam-2058	273	6	1900	1900	NUM
ejpam-2058	273	7	.	.	PUNCT
ejpam-2058	274	1	[	[	X
ejpam-2058	274	2	10	10	NUM
ejpam-2058	274	3	]	]	X
ejpam-2058	274	4	g.	g.	PROPN
ejpam-2058	274	5	m.	m.	PROPN
ejpam-2058	274	6	robison	robison	PROPN
ejpam-2058	274	7	.	.	PUNCT
ejpam-2058	275	1	divergent	divergent	ADJ
ejpam-2058	275	2	double	double	ADJ
ejpam-2058	275	3	sequences	sequence	NOUN
ejpam-2058	275	4	and	and	CCONJ
ejpam-2058	275	5	series	series	NOUN
ejpam-2058	275	6	.	.	PUNCT
ejpam-2058	276	1	transactions	transaction	NOUN
ejpam-2058	276	2	of	of	ADP
ejpam-2058	276	3	the	the	DET
ejpam-2058	276	4	american	american	PROPN
ejpam-2058	276	5	mathematical	mathematical	PROPN
ejpam-2058	276	6	society	society	NOUN
ejpam-2058	276	7	,	,	PUNCT
ejpam-2058	276	8	28:50–73	28:50–73	NUM
ejpam-2058	276	9	,	,	PUNCT
ejpam-2058	276	10	1926	1926	NUM
ejpam-2058	276	11	.	.	PUNCT