id	sid	tid	token	lemma	pos
ejpam-1822	1	1	compiles/77965cce38181ced4e0ea8972acce766	compiles/77965cce38181ced4e0ea8972acce766	X
ejpam-1822	1	2	/	/	SYM
ejpam-1822	1	3	output.dvi	output.dvi	PROPN
ejpam-1822	1	4	european	european	ADJ
ejpam-1822	1	5	journal	journal	NOUN
ejpam-1822	1	6	of	of	ADP
ejpam-1822	1	7	pure	pure	ADJ
ejpam-1822	1	8	and	and	CCONJ
ejpam-1822	1	9	applied	apply	VERB
ejpam-1822	1	10	mathematics	mathematic	NOUN
ejpam-1822	1	11	vol	vol	NOUN
ejpam-1822	1	12	.	.	PROPN
ejpam-1822	2	1	6	6	NUM
ejpam-1822	2	2	,	,	PUNCT
ejpam-1822	2	3	no	no	INTJ
ejpam-1822	2	4	.	.	NOUN
ejpam-1822	2	5	2	2	NUM
ejpam-1822	2	6	,	,	PUNCT
ejpam-1822	2	7	2013	2013	NUM
ejpam-1822	2	8	,	,	PUNCT
ejpam-1822	2	9	137	137	NUM
ejpam-1822	2	10	-	-	SYM
ejpam-1822	2	11	146	146	NUM
ejpam-1822	2	12	issn	issn	PROPN
ejpam-1822	2	13	1307	1307	NUM
ejpam-1822	2	14	-	-	SYM
ejpam-1822	2	15	5543	5543	NUM
ejpam-1822	2	16	–	–	PUNCT
ejpam-1822	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1822	2	18	statistically	statistically	ADV
ejpam-1822	2	19	almost	almost	ADV
ejpam-1822	2	20	λ	λ	NOUN
ejpam-1822	2	21	-	-	NOUN
ejpam-1822	2	22	convergence	convergence	NOUN
ejpam-1822	2	23	of	of	ADP
ejpam-1822	2	24	sequences	sequence	NOUN
ejpam-1822	2	25	of	of	ADP
ejpam-1822	2	26	sets	set	NOUN
ejpam-1822	2	27	bipan	bipan	VERB
ejpam-1822	2	28	hazarika1	hazarika1	PROPN
ejpam-1822	2	29	,	,	PUNCT
ejpam-1822	2	30	ayhan	ayhan	PROPN
ejpam-1822	2	31	esi	esi	PROPN
ejpam-1822	2	32	2,∗	2,∗	PROPN
ejpam-1822	2	33	1	1	NUM
ejpam-1822	2	34	department	department	NOUN
ejpam-1822	2	35	of	of	ADP
ejpam-1822	2	36	mathematics	mathematic	NOUN
ejpam-1822	2	37	,	,	PUNCT
ejpam-1822	2	38	rajiv	rajiv	PROPN
ejpam-1822	2	39	gandhi	gandhi	PROPN
ejpam-1822	2	40	university	university	PROPN
ejpam-1822	2	41	,	,	PUNCT
ejpam-1822	2	42	rono	rono	PROPN
ejpam-1822	2	43	hills	hill	NOUN
ejpam-1822	2	44	,	,	PUNCT
ejpam-1822	2	45	doimukh-791	doimukh-791	NOUN
ejpam-1822	2	46	112	112	NUM
ejpam-1822	2	47	,	,	PUNCT
ejpam-1822	2	48	arunachal	arunachal	PROPN
ejpam-1822	2	49	pradesh	pradesh	PROPN
ejpam-1822	2	50	,	,	PUNCT
ejpam-1822	2	51	india	india	PROPN
ejpam-1822	2	52	2	2	NUM
ejpam-1822	2	53	adiyaman	adiyaman	PROPN
ejpam-1822	2	54	university	university	NOUN
ejpam-1822	2	55	,	,	PUNCT
ejpam-1822	2	56	science	science	NOUN
ejpam-1822	2	57	and	and	CCONJ
ejpam-1822	2	58	art	art	NOUN
ejpam-1822	2	59	faculty	faculty	NOUN
ejpam-1822	2	60	,	,	PUNCT
ejpam-1822	2	61	department	department	NOUN
ejpam-1822	2	62	of	of	ADP
ejpam-1822	2	63	mathematics	mathematic	NOUN
ejpam-1822	2	64	,	,	PUNCT
ejpam-1822	2	65	02040	02040	NUM
ejpam-1822	2	66	,	,	PUNCT
ejpam-1822	2	67	adiyaman	adiyaman	NOUN
ejpam-1822	2	68	,	,	PUNCT
ejpam-1822	2	69	turkey	turkey	NOUN
ejpam-1822	2	70	abstract	abstract	NOUN
ejpam-1822	2	71	.	.	PUNCT
ejpam-1822	3	1	the	the	DET
ejpam-1822	3	2	concept	concept	NOUN
ejpam-1822	3	3	of	of	ADP
ejpam-1822	3	4	wijsman	wijsman	ADJ
ejpam-1822	3	5	statistical	statistical	ADJ
ejpam-1822	3	6	convergence	convergence	NOUN
ejpam-1822	3	7	was	be	AUX
ejpam-1822	3	8	defined	define	VERB
ejpam-1822	3	9	by	by	ADP
ejpam-1822	3	10	nuray	nuray	NOUN
ejpam-1822	3	11	and	and	CCONJ
ejpam-1822	3	12	rhoades	rhoade	NOUN
ejpam-1822	3	13	[	[	X
ejpam-1822	3	14	9	9	NUM
ejpam-1822	3	15	]	]	PUNCT
ejpam-1822	3	16	.	.	PUNCT
ejpam-1822	4	1	in	in	ADP
ejpam-1822	4	2	this	this	DET
ejpam-1822	4	3	paper	paper	NOUN
ejpam-1822	4	4	we	we	PRON
ejpam-1822	4	5	define	define	VERB
ejpam-1822	4	6	statistically	statistically	ADV
ejpam-1822	4	7	almost	almost	ADV
ejpam-1822	4	8	λconvergence	λconvergence	NOUN
ejpam-1822	4	9	for	for	ADP
ejpam-1822	4	10	sequences	sequence	NOUN
ejpam-1822	4	11	for	for	ADP
ejpam-1822	4	12	sets	set	NOUN
ejpam-1822	4	13	in	in	ADP
ejpam-1822	4	14	sense	sense	NOUN
ejpam-1822	4	15	of	of	ADP
ejpam-1822	4	16	wijsman	wijsman	NOUN
ejpam-1822	4	17	and	and	CCONJ
ejpam-1822	4	18	study	study	VERB
ejpam-1822	4	19	some	some	DET
ejpam-1822	4	20	properties	property	NOUN
ejpam-1822	4	21	of	of	ADP
ejpam-1822	4	22	this	this	DET
ejpam-1822	4	23	concept	concept	NOUN
ejpam-1822	4	24	.	.	PUNCT
ejpam-1822	5	1	2010	2010	NUM
ejpam-1822	5	2	mathematics	mathematic	NOUN
ejpam-1822	5	3	subject	subject	NOUN
ejpam-1822	5	4	classifications	classification	NOUN
ejpam-1822	5	5	:	:	PUNCT
ejpam-1822	5	6	40a05	40a05	NUM
ejpam-1822	5	7	,	,	PUNCT
ejpam-1822	5	8	40a35	40a35	NUM
ejpam-1822	5	9	,	,	PUNCT
ejpam-1822	5	10	40g15	40g15	NUM
ejpam-1822	5	11	,	,	PUNCT
ejpam-1822	5	12	46e25	46e25	NUM
ejpam-1822	5	13	key	key	ADJ
ejpam-1822	5	14	words	word	NOUN
ejpam-1822	5	15	and	and	CCONJ
ejpam-1822	5	16	phrases	phrase	NOUN
ejpam-1822	5	17	:	:	PUNCT
ejpam-1822	5	18	statistical	statistical	ADJ
ejpam-1822	5	19	convergence	convergence	NOUN
ejpam-1822	5	20	,	,	PUNCT
ejpam-1822	5	21	λ−sequence	λ−sequence	NOUN
ejpam-1822	5	22	,	,	PUNCT
ejpam-1822	5	23	almost	almost	ADV
ejpam-1822	5	24	convergence	convergence	NOUN
ejpam-1822	5	25	,	,	PUNCT
ejpam-1822	5	26	wijsman	wijsman	ADJ
ejpam-1822	5	27	convergence	convergence	NOUN
ejpam-1822	5	28	1	1	NUM
ejpam-1822	5	29	.	.	PUNCT
ejpam-1822	5	30	introduction	introduction	NOUN
ejpam-1822	5	31	the	the	DET
ejpam-1822	5	32	concept	concept	NOUN
ejpam-1822	5	33	of	of	ADP
ejpam-1822	5	34	statistical	statistical	ADJ
ejpam-1822	5	35	convergence	convergence	NOUN
ejpam-1822	5	36	play	play	VERB
ejpam-1822	5	37	a	a	DET
ejpam-1822	5	38	vital	vital	ADJ
ejpam-1822	5	39	role	role	NOUN
ejpam-1822	5	40	not	not	PART
ejpam-1822	5	41	only	only	ADV
ejpam-1822	5	42	in	in	ADP
ejpam-1822	5	43	pure	pure	ADJ
ejpam-1822	5	44	mathematics	mathematic	NOUN
ejpam-1822	5	45	but	but	CCONJ
ejpam-1822	5	46	also	also	ADV
ejpam-1822	5	47	in	in	ADP
ejpam-1822	5	48	other	other	ADJ
ejpam-1822	5	49	branches	branch	NOUN
ejpam-1822	5	50	of	of	ADP
ejpam-1822	5	51	science	science	NOUN
ejpam-1822	5	52	involving	involve	VERB
ejpam-1822	5	53	mathematics	mathematic	NOUN
ejpam-1822	5	54	,	,	PUNCT
ejpam-1822	5	55	especially	especially	ADV
ejpam-1822	5	56	in	in	ADP
ejpam-1822	5	57	information	information	NOUN
ejpam-1822	5	58	theory	theory	NOUN
ejpam-1822	5	59	,	,	PUNCT
ejpam-1822	5	60	computer	computer	NOUN
ejpam-1822	5	61	science	science	NOUN
ejpam-1822	5	62	,	,	PUNCT
ejpam-1822	5	63	biological	biological	ADJ
ejpam-1822	5	64	science	science	NOUN
ejpam-1822	5	65	,	,	PUNCT
ejpam-1822	5	66	dynamical	dynamical	ADJ
ejpam-1822	5	67	systems	system	NOUN
ejpam-1822	5	68	,	,	PUNCT
ejpam-1822	5	69	geographic	geographic	ADJ
ejpam-1822	5	70	information	information	NOUN
ejpam-1822	5	71	systems	system	NOUN
ejpam-1822	5	72	,	,	PUNCT
ejpam-1822	5	73	population	population	NOUN
ejpam-1822	5	74	modeling	modeling	NOUN
ejpam-1822	5	75	,	,	PUNCT
ejpam-1822	5	76	and	and	CCONJ
ejpam-1822	5	77	motion	motion	NOUN
ejpam-1822	5	78	planning	planning	NOUN
ejpam-1822	5	79	in	in	ADP
ejpam-1822	5	80	robotics	robotic	NOUN
ejpam-1822	5	81	.	.	PUNCT
ejpam-1822	6	1	the	the	DET
ejpam-1822	6	2	concept	concept	NOUN
ejpam-1822	6	3	of	of	ADP
ejpam-1822	6	4	convergence	convergence	NOUN
ejpam-1822	6	5	of	of	ADP
ejpam-1822	6	6	sequences	sequence	NOUN
ejpam-1822	6	7	of	of	ADP
ejpam-1822	6	8	points	point	NOUN
ejpam-1822	6	9	has	have	AUX
ejpam-1822	6	10	been	be	AUX
ejpam-1822	6	11	extended	extend	VERB
ejpam-1822	6	12	by	by	ADP
ejpam-1822	6	13	several	several	ADJ
ejpam-1822	6	14	authors	author	NOUN
ejpam-1822	6	15	to	to	ADP
ejpam-1822	6	16	convergence	convergence	NOUN
ejpam-1822	6	17	of	of	ADP
ejpam-1822	6	18	sequences	sequence	NOUN
ejpam-1822	6	19	of	of	ADP
ejpam-1822	6	20	sets	set	NOUN
ejpam-1822	6	21	.	.	PUNCT
ejpam-1822	7	1	the	the	DET
ejpam-1822	7	2	one	one	NUM
ejpam-1822	7	3	of	of	ADP
ejpam-1822	7	4	these	these	DET
ejpam-1822	7	5	such	such	ADJ
ejpam-1822	7	6	extensions	extension	NOUN
ejpam-1822	7	7	considered	consider	VERB
ejpam-1822	7	8	in	in	ADP
ejpam-1822	7	9	this	this	DET
ejpam-1822	7	10	paper	paper	NOUN
ejpam-1822	7	11	is	be	AUX
ejpam-1822	7	12	the	the	DET
ejpam-1822	7	13	concept	concept	NOUN
ejpam-1822	7	14	of	of	ADP
ejpam-1822	7	15	wijsman	wijsman	ADJ
ejpam-1822	7	16	convergence	convergence	NOUN
ejpam-1822	7	17	.	.	PUNCT
ejpam-1822	8	1	we	we	PRON
ejpam-1822	8	2	shall	shall	AUX
ejpam-1822	8	3	define	define	VERB
ejpam-1822	8	4	wijsman	wijsman	NOUN
ejpam-1822	8	5	statistically	statistically	ADV
ejpam-1822	8	6	almost	almost	ADV
ejpam-1822	8	7	λ	λ	NOUN
ejpam-1822	8	8	-	-	NOUN
ejpam-1822	8	9	convergence	convergence	NOUN
ejpam-1822	8	10	for	for	ADP
ejpam-1822	8	11	sequences	sequence	NOUN
ejpam-1822	8	12	of	of	ADP
ejpam-1822	8	13	sets	set	NOUN
ejpam-1822	8	14	and	and	CCONJ
ejpam-1822	8	15	establish	establish	VERB
ejpam-1822	8	16	some	some	DET
ejpam-1822	8	17	basic	basic	ADJ
ejpam-1822	8	18	results	result	NOUN
ejpam-1822	8	19	regarding	regard	VERB
ejpam-1822	8	20	this	this	DET
ejpam-1822	8	21	notions	notion	NOUN
ejpam-1822	8	22	.	.	PUNCT
ejpam-1822	9	1	the	the	DET
ejpam-1822	9	2	idea	idea	NOUN
ejpam-1822	9	3	of	of	ADP
ejpam-1822	9	4	statistical	statistical	ADJ
ejpam-1822	9	5	convergence	convergence	NOUN
ejpam-1822	9	6	was	be	AUX
ejpam-1822	9	7	formerly	formerly	ADV
ejpam-1822	9	8	given	give	VERB
ejpam-1822	9	9	under	under	ADP
ejpam-1822	9	10	the	the	DET
ejpam-1822	9	11	name	name	NOUN
ejpam-1822	9	12	“	"	PUNCT
ejpam-1822	9	13	almost	almost	ADV
ejpam-1822	9	14	convergence	convergence	NOUN
ejpam-1822	9	15	”	"	PUNCT
ejpam-1822	9	16	by	by	ADP
ejpam-1822	9	17	zygmund	zygmund	NOUN
ejpam-1822	9	18	in	in	ADP
ejpam-1822	9	19	the	the	DET
ejpam-1822	9	20	first	first	ADJ
ejpam-1822	9	21	edition	edition	NOUN
ejpam-1822	9	22	of	of	ADP
ejpam-1822	9	23	his	his	PRON
ejpam-1822	9	24	celebrated	celebrate	VERB
ejpam-1822	9	25	monograph	monograph	NOUN
ejpam-1822	9	26	published	publish	VERB
ejpam-1822	9	27	in	in	ADP
ejpam-1822	9	28	warsaw	warsaw	PROPN
ejpam-1822	9	29	in	in	ADP
ejpam-1822	9	30	1935	1935	NUM
ejpam-1822	10	1	[	[	X
ejpam-1822	10	2	13	13	NUM
ejpam-1822	10	3	]	]	PUNCT
ejpam-1822	10	4	.	.	PUNCT
ejpam-1822	11	1	the	the	DET
ejpam-1822	11	2	concept	concept	NOUN
ejpam-1822	11	3	was	be	AUX
ejpam-1822	11	4	formally	formally	ADV
ejpam-1822	11	5	introduced	introduce	VERB
ejpam-1822	11	6	by	by	ADP
ejpam-1822	11	7	steinhaus	steinhaus	NOUN
ejpam-1822	12	1	[	[	X
ejpam-1822	12	2	11	11	NUM
ejpam-1822	12	3	]	]	PUNCT
ejpam-1822	12	4	and	and	CCONJ
ejpam-1822	12	5	fast	fast	ADJ
ejpam-1822	12	6	[	[	X
ejpam-1822	12	7	2	2	NUM
ejpam-1822	12	8	]	]	PUNCT
ejpam-1822	12	9	and	and	CCONJ
ejpam-1822	12	10	later	later	ADV
ejpam-1822	12	11	was	be	AUX
ejpam-1822	12	12	introduced	introduce	VERB
ejpam-1822	12	13	by	by	ADP
ejpam-1822	12	14	schoenberg	schoenberg	PROPN
ejpam-1822	12	15	[	[	X
ejpam-1822	12	16	10	10	NUM
ejpam-1822	12	17	]	]	PUNCT
ejpam-1822	12	18	,	,	PUNCT
ejpam-1822	12	19	and	and	CCONJ
ejpam-1822	12	20	also	also	ADV
ejpam-1822	12	21	independently	independently	ADV
ejpam-1822	12	22	by	by	ADP
ejpam-1822	12	23	buck	buck	NOUN
ejpam-1822	13	1	[	[	X
ejpam-1822	13	2	1	1	NUM
ejpam-1822	13	3	]	]	PUNCT
ejpam-1822	13	4	.	.	PUNCT
ejpam-1822	14	1	a	a	DET
ejpam-1822	14	2	lot	lot	NOUN
ejpam-1822	14	3	of	of	ADP
ejpam-1822	14	4	developments	development	NOUN
ejpam-1822	14	5	have	have	AUX
ejpam-1822	14	6	been	be	AUX
ejpam-1822	14	7	made	make	VERB
ejpam-1822	14	8	in	in	ADP
ejpam-1822	14	9	this	this	DET
ejpam-1822	14	10	areas	area	NOUN
ejpam-1822	14	11	after	after	ADP
ejpam-1822	14	12	the	the	DET
ejpam-1822	14	13	works	work	NOUN
ejpam-1822	14	14	of	of	ADP
ejpam-1822	14	15	s̆alát	s̆alát	PROPN
ejpam-1822	15	1	[	[	X
ejpam-1822	15	2	12	12	NUM
ejpam-1822	15	3	]	]	PUNCT
ejpam-1822	15	4	and	and	CCONJ
ejpam-1822	15	5	fridy	fridy	VERB
ejpam-1822	15	6	[	[	X
ejpam-1822	15	7	4	4	NUM
ejpam-1822	15	8	]	]	PUNCT
ejpam-1822	15	9	.	.	PUNCT
ejpam-1822	16	1	over	over	ADP
ejpam-1822	16	2	the	the	DET
ejpam-1822	16	3	years	year	NOUN
ejpam-1822	16	4	and	and	CCONJ
ejpam-1822	16	5	under	under	ADP
ejpam-1822	16	6	different	different	ADJ
ejpam-1822	16	7	names	name	NOUN
ejpam-1822	16	8	statistical	statistical	ADJ
ejpam-1822	16	9	convergence	convergence	NOUN
ejpam-1822	16	10	has	have	AUX
ejpam-1822	16	11	been	be	AUX
ejpam-1822	16	12	discussed	discuss	VERB
ejpam-1822	16	13	in	in	ADP
ejpam-1822	16	14	the	the	DET
ejpam-1822	16	15	theory	theory	NOUN
ejpam-1822	16	16	of	of	ADP
ejpam-1822	16	17	fourier	fourier	ADJ
ejpam-1822	16	18	analysis	analysis	NOUN
ejpam-1822	16	19	,	,	PUNCT
ejpam-1822	16	20	ergodic	ergodic	ADJ
ejpam-1822	16	21	theory	theory	NOUN
ejpam-1822	16	22	and	and	CCONJ
ejpam-1822	16	23	number	number	NOUN
ejpam-1822	16	24	theory	theory	NOUN
ejpam-1822	16	25	.	.	PUNCT
ejpam-1822	17	1	in	in	ADP
ejpam-1822	17	2	the	the	DET
ejpam-1822	17	3	recent	recent	ADJ
ejpam-1822	17	4	years	year	NOUN
ejpam-1822	17	5	,	,	PUNCT
ejpam-1822	17	6	generalization	generalization	NOUN
ejpam-1822	17	7	of	of	ADP
ejpam-1822	17	8	statistical	statistical	ADJ
ejpam-1822	17	9	∗corresponding	∗corresponding	NOUN
ejpam-1822	17	10	author	author	NOUN
ejpam-1822	17	11	.	.	PUNCT
ejpam-1822	18	1	email	email	NOUN
ejpam-1822	18	2	addresses	address	NOUN
ejpam-1822	18	3	:	:	PUNCT
ejpam-1822	18	4	bh_rgu@yahoo.co.in	bh_rgu@yahoo.co.in	X
ejpam-1822	18	5	(	(	PUNCT
ejpam-1822	18	6	b.	b.	NOUN
ejpam-1822	18	7	hazarika	hazarika	PROPN
ejpam-1822	18	8	)	)	PUNCT
ejpam-1822	18	9	,	,	PUNCT
ejpam-1822	18	10	aesi23@hotmail.com	aesi23@hotmail.com	PROPN
ejpam-1822	18	11	(	(	PUNCT
ejpam-1822	18	12	a.	a.	PROPN
ejpam-1822	18	13	esi	esi	PROPN
ejpam-1822	18	14	)	)	PUNCT
ejpam-1822	18	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1822	19	1	137	137	NUM
ejpam-1822	20	1	c	c	X
ejpam-1822	20	2	©	©	PROPN
ejpam-1822	20	3	2013	2013	NUM
ejpam-1822	20	4	ejpam	ejpam	NOUN
ejpam-1822	20	5	all	all	DET
ejpam-1822	20	6	rights	right	NOUN
ejpam-1822	20	7	reserved	reserve	VERB
ejpam-1822	20	8	.	.	PUNCT
ejpam-1822	21	1	b.	b.	PROPN
ejpam-1822	21	2	hazarika	hazarika	PROPN
ejpam-1822	21	3	,	,	PUNCT
ejpam-1822	21	4	a.	a.	PROPN
ejpam-1822	21	5	esi	esi	PROPN
ejpam-1822	21	6	/	/	SYM
ejpam-1822	21	7	eur	eur	PROPN
ejpam-1822	21	8	.	.	PUNCT
ejpam-1822	22	1	j.	j.	PROPN
ejpam-1822	22	2	pure	pure	PROPN
ejpam-1822	22	3	appl	appl	PROPN
ejpam-1822	22	4	.	.	PROPN
ejpam-1822	22	5	math	math	PROPN
ejpam-1822	22	6	,	,	PUNCT
ejpam-1822	22	7	6	6	NUM
ejpam-1822	22	8	(	(	PUNCT
ejpam-1822	22	9	2013	2013	NUM
ejpam-1822	22	10	)	)	PUNCT
ejpam-1822	22	11	,	,	PUNCT
ejpam-1822	22	12	137	137	NUM
ejpam-1822	22	13	-	-	SYM
ejpam-1822	22	14	146	146	NUM
ejpam-1822	22	15	138	138	NUM
ejpam-1822	22	16	convergence	convergence	NOUN
ejpam-1822	22	17	have	have	AUX
ejpam-1822	22	18	appeared	appear	VERB
ejpam-1822	22	19	in	in	ADP
ejpam-1822	22	20	the	the	DET
ejpam-1822	22	21	study	study	NOUN
ejpam-1822	22	22	of	of	ADP
ejpam-1822	22	23	strong	strong	ADJ
ejpam-1822	22	24	integral	integral	ADJ
ejpam-1822	22	25	summability	summability	NOUN
ejpam-1822	22	26	and	and	CCONJ
ejpam-1822	22	27	the	the	DET
ejpam-1822	22	28	structure	structure	NOUN
ejpam-1822	22	29	of	of	ADP
ejpam-1822	22	30	ideals	ideal	NOUN
ejpam-1822	22	31	of	of	ADP
ejpam-1822	22	32	bounded	bounded	ADJ
ejpam-1822	22	33	continuous	continuous	ADJ
ejpam-1822	22	34	functions	function	NOUN
ejpam-1822	22	35	on	on	ADP
ejpam-1822	22	36	stone	stone	NOUN
ejpam-1822	22	37	-	-	PUNCT
ejpam-1822	22	38	c̆ech	c̆ech	NOUN
ejpam-1822	22	39	compactification	compactification	NOUN
ejpam-1822	22	40	of	of	ADP
ejpam-1822	22	41	the	the	DET
ejpam-1822	22	42	natural	natural	ADJ
ejpam-1822	22	43	numbers	number	NOUN
ejpam-1822	22	44	.	.	PUNCT
ejpam-1822	23	1	a	a	DET
ejpam-1822	23	2	real	real	ADJ
ejpam-1822	23	3	or	or	CCONJ
ejpam-1822	23	4	complex	complex	ADJ
ejpam-1822	23	5	number	number	NOUN
ejpam-1822	23	6	sequence	sequence	NOUN
ejpam-1822	23	7	x	x	NOUN
ejpam-1822	23	8	=	=	SYM
ejpam-1822	23	9	�	�	PROPN
ejpam-1822	23	10	xk	xk	PROPN
ejpam-1822	23	11	�	�	PROPN
ejpam-1822	23	12	is	be	AUX
ejpam-1822	23	13	said	say	VERB
ejpam-1822	23	14	to	to	PART
ejpam-1822	23	15	be	be	AUX
ejpam-1822	23	16	statistically	statistically	ADV
ejpam-1822	23	17	convergent	convergent	ADJ
ejpam-1822	23	18	to	to	ADP
ejpam-1822	23	19	l	l	NOUN
ejpam-1822	23	20	if	if	SCONJ
ejpam-1822	23	21	for	for	ADP
ejpam-1822	23	22	every	every	DET
ejpam-1822	23	23	ε	ε	PROPN
ejpam-1822	23	24	>	>	X
ejpam-1822	23	25	0	0	PUNCT
ejpam-1822	24	1	lim	lim	PROPN
ejpam-1822	24	2	n	n	CCONJ
ejpam-1822	24	3	1	1	NUM
ejpam-1822	24	4	n	n	PRON
ejpam-1822	24	5	�	�	PROPN
ejpam-1822	24	6	�	�	PROPN
ejpam-1822	24	7	�	�	PROPN
ejpam-1822	24	8	¦	¦	PROPN
ejpam-1822	24	9	k	k	PROPN
ejpam-1822	24	10	≤	≤	PROPN
ejpam-1822	25	1	n	n	CCONJ
ejpam-1822	25	2	:	:	PUNCT
ejpam-1822	25	3	�	�	PROPN
ejpam-1822	25	4	�	�	PROPN
ejpam-1822	25	5	xk	xk	PROPN
ejpam-1822	25	6	−	−	PROPN
ejpam-1822	25	7	l	l	PROPN
ejpam-1822	25	8	�	�	PROPN
ejpam-1822	25	9	�	�	PROPN
ejpam-1822	25	10	≥	≥	PROPN
ejpam-1822	25	11	ε	ε	PROPN
ejpam-1822	25	12	©	©	PROPN
ejpam-1822	25	13	�	�	PROPN
ejpam-1822	25	14	�	�	PROPN
ejpam-1822	25	15	�	�	PROPN
ejpam-1822	25	16	=	=	PROPN
ejpam-1822	25	17	0	0	NUM
ejpam-1822	25	18	.	.	PUNCT
ejpam-1822	26	1	in	in	ADP
ejpam-1822	26	2	this	this	DET
ejpam-1822	26	3	case	case	NOUN
ejpam-1822	26	4	,	,	PUNCT
ejpam-1822	26	5	we	we	PRON
ejpam-1822	26	6	write	write	VERB
ejpam-1822	26	7	s	s	PRON
ejpam-1822	27	1	−	−	PROPN
ejpam-1822	28	1	lim	lim	NOUN
ejpam-1822	28	2	x	x	PUNCT
ejpam-1822	28	3	=	=	PUNCT
ejpam-1822	28	4	l	l	NOUN
ejpam-1822	28	5	or	or	CCONJ
ejpam-1822	28	6	xk	xk	PROPN
ejpam-1822	28	7	→	→	SYM
ejpam-1822	28	8	l(s	l(s	PROPN
ejpam-1822	28	9	)	)	PUNCT
ejpam-1822	28	10	and	and	CCONJ
ejpam-1822	28	11	s	s	NOUN
ejpam-1822	28	12	denotes	denote	NOUN
ejpam-1822	28	13	the	the	DET
ejpam-1822	28	14	set	set	NOUN
ejpam-1822	28	15	of	of	ADP
ejpam-1822	28	16	all	all	DET
ejpam-1822	28	17	statistically	statistically	ADV
ejpam-1822	28	18	convergent	convergent	ADJ
ejpam-1822	28	19	sequences	sequence	NOUN
ejpam-1822	28	20	.	.	PUNCT
ejpam-1822	29	1	the	the	DET
ejpam-1822	29	2	generalized	generalize	VERB
ejpam-1822	29	3	de	de	X
ejpam-1822	29	4	la	la	PROPN
ejpam-1822	29	5	vallée	vallée	NOUN
ejpam-1822	29	6	-	-	PUNCT
ejpam-1822	29	7	poussin	poussin	PROPN
ejpam-1822	29	8	mean	mean	NOUN
ejpam-1822	29	9	is	be	AUX
ejpam-1822	29	10	defined	define	VERB
ejpam-1822	29	11	by	by	ADP
ejpam-1822	29	12	tn	tn	PROPN
ejpam-1822	29	13	(	(	PUNCT
ejpam-1822	29	14	x	x	NOUN
ejpam-1822	29	15	)	)	PUNCT
ejpam-1822	29	16	=	=	SYM
ejpam-1822	29	17	1	1	NUM
ejpam-1822	29	18	λn	λn	NOUN
ejpam-1822	29	19	∑	∑	ADV
ejpam-1822	29	20	k∈in	k∈in	PROPN
ejpam-1822	29	21	xk	xk	PROPN
ejpam-1822	29	22	where	where	SCONJ
ejpam-1822	29	23	in	in	ADP
ejpam-1822	29	24	=	=	PROPN
ejpam-1822	29	25	�	�	PROPN
ejpam-1822	29	26	n−λn+	n−λn+	PROPN
ejpam-1822	29	27	1	1	NUM
ejpam-1822	29	28	,	,	PUNCT
ejpam-1822	29	29	n	n	X
ejpam-1822	29	30	�	�	PROPN
ejpam-1822	29	31	.	.	PUNCT
ejpam-1822	30	1	a	a	DET
ejpam-1822	30	2	sequence	sequence	NOUN
ejpam-1822	30	3	x	x	NOUN
ejpam-1822	30	4	=	=	SYM
ejpam-1822	30	5	�	�	PROPN
ejpam-1822	30	6	xk	xk	PROPN
ejpam-1822	30	7	�	�	PROPN
ejpam-1822	30	8	is	be	AUX
ejpam-1822	30	9	said	say	VERB
ejpam-1822	30	10	to	to	PART
ejpam-1822	30	11	be	be	AUX
ejpam-1822	30	12	(	(	PUNCT
ejpam-1822	30	13	v	v	NOUN
ejpam-1822	30	14	,	,	PUNCT
ejpam-1822	30	15	λ)−summable	λ)−summable	ADJ
ejpam-1822	30	16	to	to	ADP
ejpam-1822	30	17	number	number	NOUN
ejpam-1822	30	18	l	l	NOUN
ejpam-1822	31	1	[	[	X
ejpam-1822	31	2	5	5	X
ejpam-1822	31	3	]	]	PUNCT
ejpam-1822	31	4	if	if	SCONJ
ejpam-1822	31	5	tn	tn	PROPN
ejpam-1822	31	6	(	(	PUNCT
ejpam-1822	31	7	x)→	x)→	PROPN
ejpam-1822	31	8	l	l	NOUN
ejpam-1822	31	9	as	as	ADP
ejpam-1822	31	10	n→∞.	n→∞.	ADJ
ejpam-1822	31	11	if	if	SCONJ
ejpam-1822	31	12	λn	λn	PROPN
ejpam-1822	31	13	=	=	SYM
ejpam-1822	31	14	n	n	CCONJ
ejpam-1822	31	15	,	,	PUNCT
ejpam-1822	31	16	then	then	ADV
ejpam-1822	31	17	(	(	PUNCT
ejpam-1822	31	18	v	v	NOUN
ejpam-1822	31	19	,	,	PUNCT
ejpam-1822	31	20	λ)−summability	λ)−summability	PROPN
ejpam-1822	31	21	reduces	reduce	VERB
ejpam-1822	31	22	to	to	ADP
ejpam-1822	31	23	(	(	PUNCT
ejpam-1822	31	24	c	c	NOUN
ejpam-1822	31	25	,	,	PUNCT
ejpam-1822	31	26	1)-summability	1)-summability	NUM
ejpam-1822	31	27	.	.	PUNCT
ejpam-1822	32	1	mursaleen	mursaleen	PROPN
ejpam-1822	33	1	[	[	X
ejpam-1822	33	2	8	8	NUM
ejpam-1822	33	3	]	]	PUNCT
ejpam-1822	33	4	defined	define	VERB
ejpam-1822	33	5	λ−statistically	λ−statistically	ADV
ejpam-1822	33	6	convergent	convergent	ADJ
ejpam-1822	33	7	sequence	sequence	NOUN
ejpam-1822	33	8	as	as	SCONJ
ejpam-1822	33	9	follows	follow	VERB
ejpam-1822	33	10	:	:	PUNCT
ejpam-1822	33	11	a	a	DET
ejpam-1822	33	12	sequence	sequence	NOUN
ejpam-1822	33	13	x	x	NOUN
ejpam-1822	33	14	=	=	SYM
ejpam-1822	33	15	�	�	PROPN
ejpam-1822	33	16	xk	xk	PROPN
ejpam-1822	33	17	�	�	PROPN
ejpam-1822	33	18	is	be	AUX
ejpam-1822	33	19	said	say	VERB
ejpam-1822	33	20	to	to	PART
ejpam-1822	33	21	be	be	AUX
ejpam-1822	33	22	λ−	λ−	PROPN
ejpam-1822	33	23	statistically	statistically	ADV
ejpam-1822	33	24	convergent	convergent	ADJ
ejpam-1822	33	25	to	to	ADP
ejpam-1822	33	26	the	the	DET
ejpam-1822	33	27	number	number	NOUN
ejpam-1822	33	28	l	l	NOUN
ejpam-1822	33	29	if	if	SCONJ
ejpam-1822	33	30	for	for	ADP
ejpam-1822	33	31	every	every	DET
ejpam-1822	33	32	ε	ε	PROPN
ejpam-1822	33	33	>	>	X
ejpam-1822	33	34	0	0	PUNCT
ejpam-1822	34	1	lim	lim	NOUN
ejpam-1822	34	2	n→∞	n→∞	NUM
ejpam-1822	34	3	1	1	NUM
ejpam-1822	34	4	λn	λn	PROPN
ejpam-1822	34	5	�	�	PROPN
ejpam-1822	34	6	�	�	PROPN
ejpam-1822	34	7	�	�	PROPN
ejpam-1822	34	8	¦	¦	PROPN
ejpam-1822	34	9	k	k	PROPN
ejpam-1822	34	10	∈	∈	PROPN
ejpam-1822	34	11	in	in	ADP
ejpam-1822	34	12	:	:	PUNCT
ejpam-1822	34	13	�	�	PROPN
ejpam-1822	34	14	�	�	PROPN
ejpam-1822	34	15	xk	xk	PROPN
ejpam-1822	34	16	−	−	PROPN
ejpam-1822	34	17	l	l	PROPN
ejpam-1822	34	18	�	�	PROPN
ejpam-1822	34	19	�	�	PROPN
ejpam-1822	34	20	≥	≥	PROPN
ejpam-1822	34	21	ε	ε	PROPN
ejpam-1822	34	22	©	©	PROPN
ejpam-1822	34	23	�	�	PROPN
ejpam-1822	34	24	�	�	PROPN
ejpam-1822	34	25	�	�	PROPN
ejpam-1822	34	26	=	=	PROPN
ejpam-1822	34	27	0	0	NUM
ejpam-1822	34	28	.	.	PUNCT
ejpam-1822	35	1	let	let	VERB
ejpam-1822	35	2	sλ	sλ	NOUN
ejpam-1822	35	3	denotes	denote	NOUN
ejpam-1822	35	4	the	the	DET
ejpam-1822	35	5	set	set	NOUN
ejpam-1822	35	6	of	of	ADP
ejpam-1822	35	7	all	all	DET
ejpam-1822	35	8	λ−statistically	λ−statistically	ADV
ejpam-1822	35	9	convergent	convergent	ADJ
ejpam-1822	35	10	sequences	sequence	NOUN
ejpam-1822	35	11	.	.	PUNCT
ejpam-1822	36	1	if	if	SCONJ
ejpam-1822	36	2	λn	λn	PROPN
ejpam-1822	36	3	=	=	SYM
ejpam-1822	36	4	n	n	CCONJ
ejpam-1822	36	5	,	,	PUNCT
ejpam-1822	36	6	then	then	ADV
ejpam-1822	36	7	sλ	sλ	NOUN
ejpam-1822	36	8	is	be	AUX
ejpam-1822	36	9	the	the	DET
ejpam-1822	36	10	same	same	ADJ
ejpam-1822	36	11	as	as	ADP
ejpam-1822	36	12	s.	s.	PROPN
ejpam-1822	36	13	the	the	DET
ejpam-1822	36	14	idea	idea	NOUN
ejpam-1822	36	15	of	of	ADP
ejpam-1822	36	16	almost	almost	ADV
ejpam-1822	36	17	convergence	convergence	NOUN
ejpam-1822	36	18	of	of	ADP
ejpam-1822	36	19	sequences	sequence	NOUN
ejpam-1822	36	20	of	of	ADP
ejpam-1822	36	21	points	point	NOUN
ejpam-1822	36	22	was	be	AUX
ejpam-1822	36	23	introduced	introduce	VERB
ejpam-1822	36	24	by	by	ADP
ejpam-1822	36	25	lorentz	lorentz	PROPN
ejpam-1822	37	1	[	[	X
ejpam-1822	37	2	6	6	NUM
ejpam-1822	37	3	]	]	PUNCT
ejpam-1822	37	4	.	.	PUNCT
ejpam-1822	38	1	a	a	DET
ejpam-1822	38	2	sequence	sequence	NOUN
ejpam-1822	38	3	x	x	PUNCT
ejpam-1822	38	4	=	=	SYM
ejpam-1822	38	5	(	(	PUNCT
ejpam-1822	38	6	xk	xk	NOUN
ejpam-1822	38	7	)	)	PUNCT
ejpam-1822	38	8	is	be	AUX
ejpam-1822	38	9	said	say	VERB
ejpam-1822	38	10	to	to	PART
ejpam-1822	38	11	be	be	AUX
ejpam-1822	38	12	almost	almost	ADV
ejpam-1822	38	13	convergent	convergent	ADJ
ejpam-1822	38	14	to	to	ADP
ejpam-1822	38	15	l	l	NOUN
ejpam-1822	38	16	if	if	SCONJ
ejpam-1822	38	17	lim	lim	PROPN
ejpam-1822	38	18	n→∞	n→∞	VERB
ejpam-1822	38	19	1	1	NUM
ejpam-1822	38	20	n	n	NUM
ejpam-1822	38	21	n	n	ADV
ejpam-1822	38	22	∑	∑	ADV
ejpam-1822	38	23	k=1	k=1	PUNCT
ejpam-1822	38	24	xk+m	xk+m	PROPN
ejpam-1822	39	1	=	=	SYM
ejpam-1822	39	2	l	l	NOUN
ejpam-1822	39	3	uniformly	uniformly	ADV
ejpam-1822	39	4	in	in	ADP
ejpam-1822	39	5	m.	m.	NOUN
ejpam-1822	39	6	maddox	maddox	PROPN
ejpam-1822	40	1	[	[	X
ejpam-1822	40	2	7	7	NUM
ejpam-1822	40	3	]	]	PUNCT
ejpam-1822	40	4	and	and	CCONJ
ejpam-1822	40	5	freedman	freedman	PROPN
ejpam-1822	40	6	et	et	PROPN
ejpam-1822	40	7	al	al	PROPN
ejpam-1822	40	8	.	.	PUNCT
ejpam-1822	41	1	[	[	X
ejpam-1822	41	2	3	3	X
ejpam-1822	41	3	]	]	PUNCT
ejpam-1822	41	4	introduced	introduce	VERB
ejpam-1822	41	5	the	the	DET
ejpam-1822	41	6	notion	notion	NOUN
ejpam-1822	41	7	of	of	ADP
ejpam-1822	41	8	strong	strong	ADJ
ejpam-1822	41	9	almost	almost	ADV
ejpam-1822	41	10	convergence	convergence	NOUN
ejpam-1822	41	11	of	of	ADP
ejpam-1822	41	12	sequences	sequence	NOUN
ejpam-1822	41	13	of	of	ADP
ejpam-1822	41	14	points	point	NOUN
ejpam-1822	41	15	independently	independently	ADV
ejpam-1822	41	16	.	.	PUNCT
ejpam-1822	42	1	a	a	DET
ejpam-1822	42	2	sequence	sequence	NOUN
ejpam-1822	42	3	x	x	PUNCT
ejpam-1822	42	4	=	=	SYM
ejpam-1822	42	5	(	(	PUNCT
ejpam-1822	42	6	xk	xk	NOUN
ejpam-1822	42	7	)	)	PUNCT
ejpam-1822	42	8	is	be	AUX
ejpam-1822	42	9	said	say	VERB
ejpam-1822	42	10	to	to	PART
ejpam-1822	42	11	be	be	AUX
ejpam-1822	42	12	strongly	strongly	ADV
ejpam-1822	42	13	almost	almost	ADV
ejpam-1822	42	14	convergent	convergent	ADJ
ejpam-1822	42	15	to	to	ADP
ejpam-1822	42	16	l	l	NOUN
ejpam-1822	42	17	if	if	SCONJ
ejpam-1822	42	18	lim	lim	PROPN
ejpam-1822	42	19	n→∞	n→∞	VERB
ejpam-1822	42	20	1	1	NUM
ejpam-1822	42	21	n	n	NOUN
ejpam-1822	42	22	n	n	ADV
ejpam-1822	42	23	∑	∑	PUNCT
ejpam-1822	42	24	k=1	k=1	ADJ
ejpam-1822	42	25	|xk+m−	|xk+m−	X
ejpam-1822	42	26	l|=	l|=	NOUN
ejpam-1822	42	27	0	0	NUM
ejpam-1822	42	28	uniformly	uniformly	ADV
ejpam-1822	42	29	in	in	ADP
ejpam-1822	42	30	m.	m.	NOUN
ejpam-1822	42	31	let	let	VERB
ejpam-1822	42	32	`	`	PUNCT
ejpam-1822	42	33	∞	∞	PROPN
ejpam-1822	42	34	,	,	PUNCT
ejpam-1822	42	35	c	c	X
ejpam-1822	42	36	,	,	PUNCT
ejpam-1822	42	37	ac	ac	PROPN
ejpam-1822	42	38	and	and	CCONJ
ejpam-1822	42	39	|ac|	|ac|	PROPN
ejpam-1822	42	40	denote	denote	VERB
ejpam-1822	42	41	the	the	DET
ejpam-1822	42	42	sets	set	NOUN
ejpam-1822	42	43	of	of	ADP
ejpam-1822	42	44	all	all	DET
ejpam-1822	42	45	bounded	bounded	ADJ
ejpam-1822	42	46	,	,	PUNCT
ejpam-1822	42	47	convergent	convergent	NOUN
ejpam-1822	42	48	,	,	PUNCT
ejpam-1822	42	49	almost	almost	ADV
ejpam-1822	42	50	convergent	convergent	ADJ
ejpam-1822	42	51	and	and	CCONJ
ejpam-1822	42	52	strongly	strongly	ADV
ejpam-1822	42	53	almost	almost	ADV
ejpam-1822	42	54	convergent	convergent	ADJ
ejpam-1822	42	55	sequences	sequence	NOUN
ejpam-1822	42	56	,	,	PUNCT
ejpam-1822	42	57	respectively	respectively	ADV
ejpam-1822	42	58	.	.	PUNCT
ejpam-1822	43	1	it	it	PRON
ejpam-1822	43	2	is	be	AUX
ejpam-1822	43	3	known	know	VERB
ejpam-1822	43	4	[	[	PUNCT
ejpam-1822	43	5	7	7	NUM
ejpam-1822	43	6	]	]	PUNCT
ejpam-1822	43	7	that	that	SCONJ
ejpam-1822	43	8	c	c	PROPN
ejpam-1822	43	9	⊂	⊂	PROPN
ejpam-1822	43	10	ac	ac	PROPN
ejpam-1822	44	1	⊂	⊂	PROPN
ejpam-1822	44	2	|ac|	|ac|	PROPN
ejpam-1822	45	1	⊂	⊂	PROPN
ejpam-1822	45	2	`	`	PUNCT
ejpam-1822	45	3	∞.	∞.	PROPN
ejpam-1822	45	4	2	2	NUM
ejpam-1822	45	5	.	.	PUNCT
ejpam-1822	45	6	wijsman	wijsman	ADJ
ejpam-1822	45	7	convergence	convergence	NOUN
ejpam-1822	45	8	and	and	CCONJ
ejpam-1822	45	9	preliminaries	preliminary	NOUN
ejpam-1822	45	10	let	let	VERB
ejpam-1822	45	11	(	(	PUNCT
ejpam-1822	45	12	x	x	X
ejpam-1822	45	13	,	,	PUNCT
ejpam-1822	45	14	ρ	ρ	PROPN
ejpam-1822	45	15	)	)	PUNCT
ejpam-1822	45	16	be	be	AUX
ejpam-1822	45	17	a	a	DET
ejpam-1822	45	18	metric	metric	ADJ
ejpam-1822	45	19	space	space	NOUN
ejpam-1822	45	20	.	.	PUNCT
ejpam-1822	46	1	for	for	ADP
ejpam-1822	46	2	any	any	DET
ejpam-1822	46	3	point	point	NOUN
ejpam-1822	46	4	x	x	X
ejpam-1822	46	5	∈	∈	NOUN
ejpam-1822	46	6	x	x	X
ejpam-1822	46	7	and	and	CCONJ
ejpam-1822	46	8	any	any	DET
ejpam-1822	46	9	non	non	ADJ
ejpam-1822	46	10	-	-	ADJ
ejpam-1822	46	11	empty	empty	ADJ
ejpam-1822	46	12	subset	subset	NOUN
ejpam-1822	46	13	a	a	DET
ejpam-1822	46	14	⊂	⊂	PROPN
ejpam-1822	46	15	x	x	X
ejpam-1822	46	16	,	,	PUNCT
ejpam-1822	46	17	the	the	DET
ejpam-1822	46	18	distance	distance	NOUN
ejpam-1822	46	19	from	from	ADP
ejpam-1822	46	20	x	x	PRON
ejpam-1822	46	21	to	to	ADP
ejpam-1822	46	22	a	a	PRON
ejpam-1822	46	23	is	be	AUX
ejpam-1822	46	24	defined	define	VERB
ejpam-1822	46	25	by	by	ADP
ejpam-1822	46	26	d(x	d(x	PROPN
ejpam-1822	46	27	,	,	PUNCT
ejpam-1822	46	28	a	a	X
ejpam-1822	46	29	)	)	PUNCT
ejpam-1822	46	30	=	=	SYM
ejpam-1822	46	31	inf	inf	NOUN
ejpam-1822	46	32	y∈a	y∈a	PROPN
ejpam-1822	46	33	ρ	ρ	PROPN
ejpam-1822	46	34	�	�	PROPN
ejpam-1822	46	35	x	x	SYM
ejpam-1822	46	36	,	,	PUNCT
ejpam-1822	46	37	y	y	PROPN
ejpam-1822	46	38	�	�	PROPN
ejpam-1822	46	39	.	.	PUNCT
ejpam-1822	47	1	b.	b.	PROPN
ejpam-1822	47	2	hazarika	hazarika	PROPN
ejpam-1822	47	3	,	,	PUNCT
ejpam-1822	47	4	a.	a.	PROPN
ejpam-1822	47	5	esi	esi	PROPN
ejpam-1822	47	6	/	/	SYM
ejpam-1822	47	7	eur	eur	PROPN
ejpam-1822	47	8	.	.	PUNCT
ejpam-1822	48	1	j.	j.	PROPN
ejpam-1822	48	2	pure	pure	PROPN
ejpam-1822	48	3	appl	appl	PROPN
ejpam-1822	48	4	.	.	PROPN
ejpam-1822	48	5	math	math	PROPN
ejpam-1822	48	6	,	,	PUNCT
ejpam-1822	48	7	6	6	NUM
ejpam-1822	48	8	(	(	PUNCT
ejpam-1822	48	9	2013	2013	NUM
ejpam-1822	48	10	)	)	PUNCT
ejpam-1822	48	11	,	,	PUNCT
ejpam-1822	48	12	137	137	NUM
ejpam-1822	48	13	-	-	SYM
ejpam-1822	48	14	146	146	NUM
ejpam-1822	48	15	139	139	NUM
ejpam-1822	48	16	definition	definition	NOUN
ejpam-1822	48	17	1	1	NUM
ejpam-1822	48	18	(	(	PUNCT
ejpam-1822	48	19	[	[	X
ejpam-1822	48	20	9	9	NUM
ejpam-1822	48	21	]	]	PUNCT
ejpam-1822	48	22	)	)	PUNCT
ejpam-1822	48	23	.	.	PUNCT
ejpam-1822	49	1	let	let	AUX
ejpam-1822	49	2	(	(	PUNCT
ejpam-1822	49	3	x	x	X
ejpam-1822	49	4	,	,	PUNCT
ejpam-1822	49	5	ρ	ρ	PROPN
ejpam-1822	49	6	)	)	PUNCT
ejpam-1822	49	7	be	be	AUX
ejpam-1822	49	8	a	a	DET
ejpam-1822	49	9	metric	metric	ADJ
ejpam-1822	49	10	space	space	NOUN
ejpam-1822	49	11	.	.	PUNCT
ejpam-1822	50	1	for	for	ADP
ejpam-1822	50	2	any	any	DET
ejpam-1822	50	3	non	non	ADJ
ejpam-1822	50	4	-	-	ADJ
ejpam-1822	50	5	empty	empty	ADJ
ejpam-1822	50	6	closed	closed	ADJ
ejpam-1822	50	7	subsets	subset	NOUN
ejpam-1822	50	8	a	a	PRON
ejpam-1822	50	9	,	,	PUNCT
ejpam-1822	50	10	ak	ak	PROPN
ejpam-1822	50	11	⊂	⊂	PROPN
ejpam-1822	50	12	x	x	X
ejpam-1822	50	13	(	(	PUNCT
ejpam-1822	50	14	k	k	PROPN
ejpam-1822	50	15	∈	∈	PROPN
ejpam-1822	50	16	n	n	CCONJ
ejpam-1822	50	17	)	)	PUNCT
ejpam-1822	50	18	,	,	PUNCT
ejpam-1822	50	19	we	we	PRON
ejpam-1822	50	20	say	say	VERB
ejpam-1822	50	21	that	that	SCONJ
ejpam-1822	50	22	the	the	DET
ejpam-1822	50	23	sequence	sequence	NOUN
ejpam-1822	50	24	�	�	PROPN
ejpam-1822	50	25	ak	ak	PROPN
ejpam-1822	50	26	�	�	PROPN
ejpam-1822	50	27	is	be	AUX
ejpam-1822	50	28	wijsman	wijsman	ADJ
ejpam-1822	50	29	convergent	convergent	NOUN
ejpam-1822	50	30	to	to	ADP
ejpam-1822	50	31	a	a	DET
ejpam-1822	50	32	if	if	NOUN
ejpam-1822	50	33	limk	limk	PROPN
ejpam-1822	50	34	d(x	d(x	PROPN
ejpam-1822	50	35	,	,	PUNCT
ejpam-1822	50	36	ak	ak	PROPN
ejpam-1822	50	37	)	)	PUNCT
ejpam-1822	50	38	=	=	SYM
ejpam-1822	50	39	d(x	d(x	PROPN
ejpam-1822	50	40	,	,	PUNCT
ejpam-1822	50	41	a	a	X
ejpam-1822	50	42	)	)	PUNCT
ejpam-1822	50	43	for	for	ADP
ejpam-1822	50	44	each	each	DET
ejpam-1822	50	45	x	x	SYM
ejpam-1822	50	46	∈	∈	PROPN
ejpam-1822	50	47	x	x	X
ejpam-1822	50	48	.	.	PUNCT
ejpam-1822	51	1	in	in	ADP
ejpam-1822	51	2	this	this	DET
ejpam-1822	51	3	case	case	NOUN
ejpam-1822	51	4	we	we	PRON
ejpam-1822	51	5	write	write	VERB
ejpam-1822	51	6	w	w	ADP
ejpam-1822	51	7	−	−	PROPN
ejpam-1822	51	8	lim	lim	PROPN
ejpam-1822	51	9	ak	ak	PROPN
ejpam-1822	51	10	=	=	PROPN
ejpam-1822	51	11	a.	a.	NOUN
ejpam-1822	51	12	the	the	DET
ejpam-1822	51	13	concepts	concept	NOUN
ejpam-1822	51	14	of	of	ADP
ejpam-1822	51	15	wijsman	wijsman	ADJ
ejpam-1822	51	16	statistical	statistical	ADJ
ejpam-1822	51	17	convergence	convergence	NOUN
ejpam-1822	51	18	and	and	CCONJ
ejpam-1822	51	19	boundedless	boundedless	NOUN
ejpam-1822	51	20	for	for	ADP
ejpam-1822	51	21	the	the	DET
ejpam-1822	51	22	sequence	sequence	NOUN
ejpam-1822	51	23	�	�	PROPN
ejpam-1822	51	24	ak	ak	PROPN
ejpam-1822	51	25	�	�	PROPN
ejpam-1822	51	26	were	be	AUX
ejpam-1822	51	27	given	give	VERB
ejpam-1822	51	28	by	by	ADP
ejpam-1822	51	29	nuray	nuray	NOUN
ejpam-1822	51	30	and	and	CCONJ
ejpam-1822	51	31	rhoades	rhoade	NOUN
ejpam-1822	52	1	[	[	X
ejpam-1822	52	2	9	9	NUM
ejpam-1822	52	3	]	]	PUNCT
ejpam-1822	52	4	as	as	SCONJ
ejpam-1822	52	5	follows	follow	VERB
ejpam-1822	52	6	:	:	PUNCT
ejpam-1822	52	7	definition	definition	NOUN
ejpam-1822	52	8	2	2	NUM
ejpam-1822	52	9	.	.	PUNCT
ejpam-1822	53	1	let	let	AUX
ejpam-1822	53	2	(	(	PUNCT
ejpam-1822	53	3	x	x	X
ejpam-1822	53	4	,	,	PUNCT
ejpam-1822	53	5	ρ	ρ	PROPN
ejpam-1822	53	6	)	)	PUNCT
ejpam-1822	53	7	be	be	AUX
ejpam-1822	53	8	a	a	DET
ejpam-1822	53	9	metric	metric	ADJ
ejpam-1822	53	10	space	space	NOUN
ejpam-1822	53	11	.	.	PUNCT
ejpam-1822	54	1	for	for	ADP
ejpam-1822	54	2	any	any	DET
ejpam-1822	54	3	non	non	ADJ
ejpam-1822	54	4	-	-	ADJ
ejpam-1822	54	5	empty	empty	ADJ
ejpam-1822	54	6	closed	closed	ADJ
ejpam-1822	54	7	subsets	subset	NOUN
ejpam-1822	54	8	a	a	PRON
ejpam-1822	54	9	,	,	PUNCT
ejpam-1822	54	10	ak	ak	PROPN
ejpam-1822	54	11	⊂	⊂	PROPN
ejpam-1822	54	12	x	x	X
ejpam-1822	54	13	(	(	PUNCT
ejpam-1822	54	14	k	k	PROPN
ejpam-1822	54	15	∈	∈	PROPN
ejpam-1822	54	16	n	n	CCONJ
ejpam-1822	54	17	)	)	PUNCT
ejpam-1822	54	18	,	,	PUNCT
ejpam-1822	54	19	we	we	PRON
ejpam-1822	54	20	say	say	VERB
ejpam-1822	54	21	that	that	SCONJ
ejpam-1822	54	22	the	the	DET
ejpam-1822	54	23	sequence	sequence	NOUN
ejpam-1822	54	24	�	�	PROPN
ejpam-1822	54	25	ak	ak	PROPN
ejpam-1822	54	26	�	�	PROPN
ejpam-1822	54	27	is	be	AUX
ejpam-1822	54	28	wijsman	wijsman	ADJ
ejpam-1822	54	29	statistical	statistical	ADJ
ejpam-1822	54	30	convergent	convergent	NOUN
ejpam-1822	54	31	to	to	ADP
ejpam-1822	54	32	a	a	PRON
ejpam-1822	54	33	if	if	SCONJ
ejpam-1822	54	34	the	the	DET
ejpam-1822	54	35	sequence	sequence	NOUN
ejpam-1822	54	36	�	�	PROPN
ejpam-1822	54	37	d(x	d(x	PROPN
ejpam-1822	54	38	,	,	PUNCT
ejpam-1822	54	39	ak	ak	PROPN
ejpam-1822	54	40	)	)	PUNCT
ejpam-1822	54	41	�	�	PROPN
ejpam-1822	54	42	is	be	AUX
ejpam-1822	54	43	statistically	statistically	ADV
ejpam-1822	54	44	convergent	convergent	ADJ
ejpam-1822	54	45	to	to	ADP
ejpam-1822	54	46	d(x	d(x	PROPN
ejpam-1822	54	47	,	,	PUNCT
ejpam-1822	54	48	a	a	PRON
ejpam-1822	54	49	)	)	PUNCT
ejpam-1822	54	50	,	,	PUNCT
ejpam-1822	55	1	i.e.	i.e.	X
ejpam-1822	55	2	,	,	PUNCT
ejpam-1822	55	3	for	for	ADP
ejpam-1822	55	4	ε	ε	PROPN
ejpam-1822	55	5	>	>	X
ejpam-1822	55	6	0	0	PUNCT
ejpam-1822	55	7	and	and	CCONJ
ejpam-1822	55	8	for	for	ADP
ejpam-1822	55	9	each	each	DET
ejpam-1822	55	10	x	x	SYM
ejpam-1822	55	11	∈	∈	PROPN
ejpam-1822	55	12	x	x	SYM
ejpam-1822	55	13	lim	lim	PROPN
ejpam-1822	55	14	n	n	CCONJ
ejpam-1822	55	15	1	1	NUM
ejpam-1822	55	16	n	n	PRON
ejpam-1822	55	17	�	�	PROPN
ejpam-1822	55	18	�	�	PROPN
ejpam-1822	55	19	�	�	PROPN
ejpam-1822	55	20	¦	¦	PROPN
ejpam-1822	55	21	k	k	PROPN
ejpam-1822	55	22	≤	≤	PROPN
ejpam-1822	55	23	n	n	CCONJ
ejpam-1822	55	24	:	:	PUNCT
ejpam-1822	55	25	�	�	PROPN
ejpam-1822	55	26	�	�	PROPN
ejpam-1822	55	27	d(x	d(x	PROPN
ejpam-1822	55	28	,	,	PUNCT
ejpam-1822	55	29	ak)−	ak)−	ADJ
ejpam-1822	55	30	d(x	d(x	NOUN
ejpam-1822	55	31	,	,	PUNCT
ejpam-1822	55	32	a	a	PRON
ejpam-1822	55	33	)	)	PUNCT
ejpam-1822	55	34	�	�	PROPN
ejpam-1822	55	35	�	�	PROPN
ejpam-1822	55	36	≥	≥	PROPN
ejpam-1822	55	37	ε	ε	PROPN
ejpam-1822	55	38	©	©	PROPN
ejpam-1822	55	39	�	�	PROPN
ejpam-1822	55	40	�	�	PROPN
ejpam-1822	55	41	�	�	PROPN
ejpam-1822	55	42	=	=	PROPN
ejpam-1822	55	43	0	0	NUM
ejpam-1822	55	44	.	.	PUNCT
ejpam-1822	56	1	in	in	ADP
ejpam-1822	56	2	this	this	DET
ejpam-1822	56	3	case	case	NOUN
ejpam-1822	56	4	,	,	PUNCT
ejpam-1822	56	5	we	we	PRON
ejpam-1822	56	6	write	write	VERB
ejpam-1822	56	7	st	st	PROPN
ejpam-1822	56	8	−	−	PROPN
ejpam-1822	56	9	limk	limk	PROPN
ejpam-1822	56	10	ak	ak	PROPN
ejpam-1822	56	11	=	=	PROPN
ejpam-1822	56	12	a	a	PRON
ejpam-1822	56	13	or	or	CCONJ
ejpam-1822	56	14	ak→	ak→	NOUN
ejpam-1822	56	15	a(ws	a(ws	NOUN
ejpam-1822	56	16	)	)	PUNCT
ejpam-1822	56	17	.	.	PUNCT
ejpam-1822	57	1	the	the	DET
ejpam-1822	57	2	sequence	sequence	NOUN
ejpam-1822	57	3	�	�	PROPN
ejpam-1822	57	4	ak	ak	PROPN
ejpam-1822	57	5	�	�	PROPN
ejpam-1822	57	6	is	be	AUX
ejpam-1822	57	7	bounded	bound	VERB
ejpam-1822	57	8	if	if	SCONJ
ejpam-1822	57	9	supk	supk	ADJ
ejpam-1822	57	10	d(x	d(x	NOUN
ejpam-1822	57	11	,	,	PUNCT
ejpam-1822	57	12	ak)<∞	ak)<∞	NOUN
ejpam-1822	57	13	for	for	ADP
ejpam-1822	57	14	each	each	DET
ejpam-1822	57	15	x	x	SYM
ejpam-1822	57	16	∈	∈	PROPN
ejpam-1822	57	17	x	x	X
ejpam-1822	57	18	.	.	PUNCT
ejpam-1822	58	1	the	the	DET
ejpam-1822	58	2	set	set	NOUN
ejpam-1822	58	3	of	of	ADP
ejpam-1822	58	4	all	all	DET
ejpam-1822	58	5	bounded	bound	VERB
ejpam-1822	58	6	sequences	sequence	NOUN
ejpam-1822	58	7	of	of	ADP
ejpam-1822	58	8	sets	set	NOUN
ejpam-1822	58	9	denoted	denote	VERB
ejpam-1822	58	10	by	by	ADP
ejpam-1822	58	11	l∞.	l∞.	ADJ
ejpam-1822	58	12	definition	definition	NOUN
ejpam-1822	58	13	3	3	NUM
ejpam-1822	58	14	(	(	PUNCT
ejpam-1822	58	15	[	[	X
ejpam-1822	58	16	9	9	NUM
ejpam-1822	58	17	]	]	PUNCT
ejpam-1822	58	18	)	)	PUNCT
ejpam-1822	58	19	.	.	PUNCT
ejpam-1822	59	1	let	let	AUX
ejpam-1822	59	2	(	(	PUNCT
ejpam-1822	59	3	x	x	X
ejpam-1822	59	4	,	,	PUNCT
ejpam-1822	59	5	ρ	ρ	PROPN
ejpam-1822	59	6	)	)	PUNCT
ejpam-1822	59	7	be	be	AUX
ejpam-1822	59	8	a	a	DET
ejpam-1822	59	9	metric	metric	ADJ
ejpam-1822	59	10	space	space	NOUN
ejpam-1822	59	11	.	.	PUNCT
ejpam-1822	60	1	for	for	ADP
ejpam-1822	60	2	any	any	DET
ejpam-1822	60	3	non	non	ADJ
ejpam-1822	60	4	-	-	ADJ
ejpam-1822	60	5	empty	empty	ADJ
ejpam-1822	60	6	closed	closed	ADJ
ejpam-1822	60	7	subsets	subset	NOUN
ejpam-1822	60	8	a	a	PRON
ejpam-1822	60	9	,	,	PUNCT
ejpam-1822	60	10	ak	ak	PROPN
ejpam-1822	60	11	⊂	⊂	PROPN
ejpam-1822	60	12	x	x	X
ejpam-1822	60	13	,	,	PUNCT
ejpam-1822	60	14	we	we	PRON
ejpam-1822	60	15	say	say	VERB
ejpam-1822	60	16	{	{	PUNCT
ejpam-1822	60	17	ak	ak	PROPN
ejpam-1822	60	18	}	}	PUNCT
ejpam-1822	60	19	is	be	AUX
ejpam-1822	60	20	wijsman	wijsman	ADJ
ejpam-1822	60	21	cesaro	cesaro	NOUN
ejpam-1822	60	22	summable	summable	ADJ
ejpam-1822	60	23	to	to	ADP
ejpam-1822	60	24	a	a	DET
ejpam-1822	60	25	if	if	SCONJ
ejpam-1822	60	26	{	{	PUNCT
ejpam-1822	60	27	d(x	d(x	PROPN
ejpam-1822	60	28	,	,	PUNCT
ejpam-1822	60	29	ak	ak	PROPN
ejpam-1822	60	30	)	)	PUNCT
ejpam-1822	60	31	}	}	PUNCT
ejpam-1822	60	32	is	be	AUX
ejpam-1822	60	33	cesaro	cesaro	ADJ
ejpam-1822	60	34	summable	summable	ADJ
ejpam-1822	60	35	to	to	ADP
ejpam-1822	60	36	d(x	d(x	PROPN
ejpam-1822	60	37	,	,	PUNCT
ejpam-1822	60	38	a	a	PRON
ejpam-1822	60	39	)	)	PUNCT
ejpam-1822	60	40	,	,	PUNCT
ejpam-1822	60	41	i.e.	i.e.	X
ejpam-1822	60	42	for	for	ADP
ejpam-1822	60	43	each	each	DET
ejpam-1822	60	44	x	x	SYM
ejpam-1822	60	45	∈	∈	PROPN
ejpam-1822	60	46	x	x	X
ejpam-1822	60	47	,	,	PUNCT
ejpam-1822	60	48	lim	lim	PROPN
ejpam-1822	60	49	n→∞	n→∞	NUM
ejpam-1822	60	50	1	1	NUM
ejpam-1822	60	51	n	n	NOUN
ejpam-1822	60	52	n	n	ADV
ejpam-1822	60	53	∑	∑	ADV
ejpam-1822	60	54	k=1	k=1	PROPN
ejpam-1822	60	55	d(x	d(x	PROPN
ejpam-1822	60	56	,	,	PUNCT
ejpam-1822	60	57	ak	ak	PROPN
ejpam-1822	60	58	)	)	PUNCT
ejpam-1822	60	59	=	=	SYM
ejpam-1822	60	60	d(x	d(x	PROPN
ejpam-1822	60	61	,	,	PUNCT
ejpam-1822	60	62	a	a	PRON
ejpam-1822	60	63	)	)	PUNCT
ejpam-1822	60	64	.	.	PUNCT
ejpam-1822	61	1	definition	definition	NOUN
ejpam-1822	61	2	4	4	NUM
ejpam-1822	61	3	(	(	PUNCT
ejpam-1822	61	4	[	[	X
ejpam-1822	61	5	9	9	NUM
ejpam-1822	61	6	]	]	PUNCT
ejpam-1822	61	7	)	)	PUNCT
ejpam-1822	61	8	.	.	PUNCT
ejpam-1822	62	1	let	let	AUX
ejpam-1822	62	2	(	(	PUNCT
ejpam-1822	62	3	x	x	X
ejpam-1822	62	4	,	,	PUNCT
ejpam-1822	62	5	ρ	ρ	PROPN
ejpam-1822	62	6	)	)	PUNCT
ejpam-1822	62	7	be	be	AUX
ejpam-1822	62	8	a	a	DET
ejpam-1822	62	9	metric	metric	ADJ
ejpam-1822	62	10	space	space	NOUN
ejpam-1822	62	11	.	.	PUNCT
ejpam-1822	63	1	for	for	ADP
ejpam-1822	63	2	any	any	DET
ejpam-1822	63	3	non	non	ADJ
ejpam-1822	63	4	-	-	ADJ
ejpam-1822	63	5	empty	empty	ADJ
ejpam-1822	63	6	closed	closed	ADJ
ejpam-1822	63	7	subsets	subset	NOUN
ejpam-1822	63	8	a	a	PRON
ejpam-1822	63	9	,	,	PUNCT
ejpam-1822	63	10	ak	ak	PROPN
ejpam-1822	63	11	⊂	⊂	PROPN
ejpam-1822	63	12	x	x	X
ejpam-1822	63	13	,	,	PUNCT
ejpam-1822	63	14	we	we	PRON
ejpam-1822	63	15	say	say	VERB
ejpam-1822	63	16	{	{	PUNCT
ejpam-1822	63	17	ak	ak	PROPN
ejpam-1822	63	18	}	}	PUNCT
ejpam-1822	63	19	is	be	AUX
ejpam-1822	63	20	wijsman	wijsman	VERB
ejpam-1822	63	21	strongly	strongly	ADV
ejpam-1822	63	22	cesaro	cesaro	ADJ
ejpam-1822	63	23	summable	summable	ADJ
ejpam-1822	63	24	to	to	ADP
ejpam-1822	63	25	a	a	DET
ejpam-1822	63	26	if	if	SCONJ
ejpam-1822	63	27	{	{	PUNCT
ejpam-1822	63	28	d(x	d(x	PROPN
ejpam-1822	63	29	,	,	PUNCT
ejpam-1822	63	30	ak	ak	PROPN
ejpam-1822	63	31	)	)	PUNCT
ejpam-1822	63	32	}	}	PUNCT
ejpam-1822	63	33	is	be	AUX
ejpam-1822	63	34	cesaro	cesaro	ADJ
ejpam-1822	63	35	summable	summable	ADJ
ejpam-1822	63	36	to	to	ADP
ejpam-1822	63	37	d(x	d(x	PROPN
ejpam-1822	63	38	,	,	PUNCT
ejpam-1822	63	39	a	a	PRON
ejpam-1822	63	40	)	)	PUNCT
ejpam-1822	63	41	,	,	PUNCT
ejpam-1822	63	42	i.e.	i.e.	X
ejpam-1822	63	43	for	for	ADP
ejpam-1822	63	44	each	each	DET
ejpam-1822	63	45	x	x	SYM
ejpam-1822	63	46	∈	∈	PROPN
ejpam-1822	63	47	x	x	X
ejpam-1822	63	48	,	,	PUNCT
ejpam-1822	63	49	lim	lim	PROPN
ejpam-1822	63	50	n→∞	n→∞	NUM
ejpam-1822	63	51	1	1	NUM
ejpam-1822	63	52	n	n	NUM
ejpam-1822	63	53	n	n	ADV
ejpam-1822	63	54	∑	∑	PUNCT
ejpam-1822	63	55	k=1	k=1	PROPN
ejpam-1822	63	56	|d(x	|d(x	NOUN
ejpam-1822	63	57	,	,	PUNCT
ejpam-1822	63	58	ak)−	ak)−	ADJ
ejpam-1822	63	59	d(x	d(x	NOUN
ejpam-1822	63	60	,	,	PUNCT
ejpam-1822	63	61	a)|=	a)|=	PROPN
ejpam-1822	63	62	0	0	NUM
ejpam-1822	63	63	.	.	PUNCT
ejpam-1822	64	1	definition	definition	NOUN
ejpam-1822	64	2	5	5	NUM
ejpam-1822	64	3	(	(	PUNCT
ejpam-1822	64	4	[	[	X
ejpam-1822	64	5	9	9	NUM
ejpam-1822	64	6	]	]	PUNCT
ejpam-1822	64	7	)	)	PUNCT
ejpam-1822	64	8	.	.	PUNCT
ejpam-1822	65	1	let	let	AUX
ejpam-1822	65	2	(	(	PUNCT
ejpam-1822	65	3	x	x	X
ejpam-1822	65	4	,	,	PUNCT
ejpam-1822	65	5	ρ	ρ	PROPN
ejpam-1822	65	6	)	)	PUNCT
ejpam-1822	65	7	be	be	AUX
ejpam-1822	65	8	a	a	DET
ejpam-1822	65	9	metric	metric	ADJ
ejpam-1822	65	10	space	space	NOUN
ejpam-1822	65	11	.	.	PUNCT
ejpam-1822	66	1	for	for	ADP
ejpam-1822	66	2	any	any	DET
ejpam-1822	66	3	non	non	ADJ
ejpam-1822	66	4	-	-	ADJ
ejpam-1822	66	5	empty	empty	ADJ
ejpam-1822	66	6	closed	closed	ADJ
ejpam-1822	66	7	subsets	subset	NOUN
ejpam-1822	66	8	a	a	PRON
ejpam-1822	66	9	,	,	PUNCT
ejpam-1822	66	10	ak	ak	PROPN
ejpam-1822	66	11	⊂	⊂	PROPN
ejpam-1822	66	12	x	x	X
ejpam-1822	66	13	,	,	PUNCT
ejpam-1822	66	14	we	we	PRON
ejpam-1822	66	15	say	say	VERB
ejpam-1822	66	16	{	{	PUNCT
ejpam-1822	66	17	ak	ak	PROPN
ejpam-1822	66	18	}	}	PUNCT
ejpam-1822	66	19	is	be	AUX
ejpam-1822	66	20	wijsman	wijsman	ADJ
ejpam-1822	66	21	almost	almost	ADV
ejpam-1822	66	22	convergent	convergent	ADJ
ejpam-1822	66	23	to	to	ADP
ejpam-1822	66	24	a	a	DET
ejpam-1822	66	25	if	if	NOUN
ejpam-1822	66	26	for	for	ADP
ejpam-1822	66	27	each	each	DET
ejpam-1822	66	28	x	x	SYM
ejpam-1822	66	29	∈	∈	PROPN
ejpam-1822	66	30	x	x	X
ejpam-1822	66	31	,	,	PUNCT
ejpam-1822	66	32	lim	lim	PROPN
ejpam-1822	66	33	n→∞	n→∞	NUM
ejpam-1822	66	34	1	1	NUM
ejpam-1822	66	35	n	n	NOUN
ejpam-1822	66	36	n	n	ADV
ejpam-1822	66	37	∑	∑	PUNCT
ejpam-1822	66	38	k=1	k=1	X
ejpam-1822	66	39	d(x	d(x	NOUN
ejpam-1822	66	40	,	,	PUNCT
ejpam-1822	66	41	ak+m	ak+m	NOUN
ejpam-1822	66	42	)	)	PUNCT
ejpam-1822	66	43	=	=	SYM
ejpam-1822	66	44	d(x	d(x	PROPN
ejpam-1822	66	45	,	,	PUNCT
ejpam-1822	66	46	a	a	PRON
ejpam-1822	66	47	)	)	PUNCT
ejpam-1822	66	48	uniformly	uniformly	ADV
ejpam-1822	66	49	in	in	ADP
ejpam-1822	66	50	m.	m.	NOUN
ejpam-1822	66	51	definition	definition	NOUN
ejpam-1822	66	52	6	6	NUM
ejpam-1822	66	53	(	(	PUNCT
ejpam-1822	66	54	[	[	X
ejpam-1822	66	55	9	9	NUM
ejpam-1822	66	56	]	]	PUNCT
ejpam-1822	66	57	)	)	PUNCT
ejpam-1822	66	58	.	.	PUNCT
ejpam-1822	67	1	let	let	AUX
ejpam-1822	67	2	(	(	PUNCT
ejpam-1822	67	3	x	x	X
ejpam-1822	67	4	,	,	PUNCT
ejpam-1822	67	5	ρ	ρ	PROPN
ejpam-1822	67	6	)	)	PUNCT
ejpam-1822	67	7	be	be	AUX
ejpam-1822	67	8	a	a	DET
ejpam-1822	67	9	metric	metric	ADJ
ejpam-1822	67	10	space	space	NOUN
ejpam-1822	67	11	.	.	PUNCT
ejpam-1822	68	1	for	for	ADP
ejpam-1822	68	2	any	any	DET
ejpam-1822	68	3	non	non	ADJ
ejpam-1822	68	4	-	-	ADJ
ejpam-1822	68	5	empty	empty	ADJ
ejpam-1822	68	6	closed	closed	ADJ
ejpam-1822	68	7	subsets	subset	NOUN
ejpam-1822	68	8	a	a	PRON
ejpam-1822	68	9	,	,	PUNCT
ejpam-1822	68	10	ak	ak	PROPN
ejpam-1822	68	11	⊂	⊂	PROPN
ejpam-1822	68	12	x	x	X
ejpam-1822	68	13	,	,	PUNCT
ejpam-1822	68	14	we	we	PRON
ejpam-1822	68	15	say	say	VERB
ejpam-1822	68	16	{	{	PUNCT
ejpam-1822	68	17	ak	ak	PROPN
ejpam-1822	68	18	}	}	PUNCT
ejpam-1822	68	19	is	be	AUX
ejpam-1822	68	20	wijsman	wijsman	VERB
ejpam-1822	68	21	strongly	strongly	ADV
ejpam-1822	68	22	almost	almost	ADV
ejpam-1822	68	23	convergent	convergent	ADJ
ejpam-1822	68	24	to	to	ADP
ejpam-1822	68	25	a	a	DET
ejpam-1822	68	26	if	if	NOUN
ejpam-1822	68	27	for	for	ADP
ejpam-1822	68	28	each	each	DET
ejpam-1822	68	29	x	x	SYM
ejpam-1822	68	30	∈	∈	PROPN
ejpam-1822	68	31	x	x	X
ejpam-1822	68	32	,	,	PUNCT
ejpam-1822	68	33	lim	lim	PROPN
ejpam-1822	68	34	n→∞	n→∞	NUM
ejpam-1822	68	35	1	1	NUM
ejpam-1822	68	36	n	n	NUM
ejpam-1822	68	37	n	n	ADV
ejpam-1822	68	38	∑	∑	PUNCT
ejpam-1822	68	39	k=1	k=1	PROPN
ejpam-1822	68	40	|d(x	|d(x	PROPN
ejpam-1822	68	41	,	,	PUNCT
ejpam-1822	68	42	ak+m)−	ak+m)−	ADJ
ejpam-1822	68	43	d(x	d(x	NOUN
ejpam-1822	68	44	,	,	PUNCT
ejpam-1822	68	45	a)|=	a)|=	PROPN
ejpam-1822	68	46	0	0	NUM
ejpam-1822	68	47	uniformly	uniformly	ADV
ejpam-1822	68	48	in	in	ADP
ejpam-1822	68	49	m.	m.	NOUN
ejpam-1822	68	50	let	let	VERB
ejpam-1822	68	51	l∞	l∞	NOUN
ejpam-1822	68	52	,	,	PUNCT
ejpam-1822	68	53	c	c	NOUN
ejpam-1822	68	54	,	,	PUNCT
ejpam-1822	68	55	ac	ac	PROPN
ejpam-1822	68	56	and	and	CCONJ
ejpam-1822	68	57	|ac	|ac	NUM
ejpam-1822	68	58	|	|	ADV
ejpam-1822	68	59	denote	denote	VERB
ejpam-1822	68	60	the	the	DET
ejpam-1822	68	61	sets	set	NOUN
ejpam-1822	68	62	of	of	ADP
ejpam-1822	68	63	all	all	DET
ejpam-1822	68	64	bounded	bounded	ADJ
ejpam-1822	68	65	,	,	PUNCT
ejpam-1822	68	66	wijsman	wijsman	ADJ
ejpam-1822	68	67	convergent	convergent	NOUN
ejpam-1822	68	68	,	,	PUNCT
ejpam-1822	68	69	wijsman	wijsman	VERB
ejpam-1822	68	70	almost	almost	ADV
ejpam-1822	68	71	convergent	convergent	ADJ
ejpam-1822	68	72	and	and	CCONJ
ejpam-1822	68	73	wijsman	wijsman	VERB
ejpam-1822	68	74	strongly	strongly	ADV
ejpam-1822	68	75	almost	almost	ADV
ejpam-1822	68	76	convergent	convergent	ADJ
ejpam-1822	68	77	sequences	sequence	NOUN
ejpam-1822	68	78	,	,	PUNCT
ejpam-1822	68	79	respectively	respectively	ADV
ejpam-1822	68	80	.	.	PUNCT
ejpam-1822	69	1	it	it	PRON
ejpam-1822	69	2	is	be	AUX
ejpam-1822	69	3	known	know	VERB
ejpam-1822	69	4	[	[	PUNCT
ejpam-1822	69	5	9	9	NUM
ejpam-1822	69	6	]	]	PUNCT
ejpam-1822	69	7	that	that	SCONJ
ejpam-1822	69	8	c	c	PROPN
ejpam-1822	70	1	⊂	⊂	PROPN
ejpam-1822	70	2	ac	ac	PROPN
ejpam-1822	71	1	⊂	⊂	PROPN
ejpam-1822	71	2	|ac	|ac	PUNCT
ejpam-1822	71	3	|	|	ADV
ejpam-1822	71	4	⊂	⊂	X
ejpam-1822	71	5	l∞.	l∞.	PROPN
ejpam-1822	71	6	b.	b.	PROPN
ejpam-1822	71	7	hazarika	hazarika	NOUN
ejpam-1822	71	8	,	,	PUNCT
ejpam-1822	71	9	a.	a.	PROPN
ejpam-1822	71	10	esi	esi	PROPN
ejpam-1822	71	11	/	/	SYM
ejpam-1822	71	12	eur	eur	PROPN
ejpam-1822	71	13	.	.	PUNCT
ejpam-1822	72	1	j.	j.	PROPN
ejpam-1822	72	2	pure	pure	PROPN
ejpam-1822	72	3	appl	appl	PROPN
ejpam-1822	72	4	.	.	PROPN
ejpam-1822	72	5	math	math	PROPN
ejpam-1822	72	6	,	,	PUNCT
ejpam-1822	72	7	6	6	NUM
ejpam-1822	72	8	(	(	PUNCT
ejpam-1822	72	9	2013	2013	NUM
ejpam-1822	72	10	)	)	PUNCT
ejpam-1822	72	11	,	,	PUNCT
ejpam-1822	72	12	137	137	NUM
ejpam-1822	72	13	-	-	SYM
ejpam-1822	72	14	146	146	NUM
ejpam-1822	72	15	140	140	NUM
ejpam-1822	72	16	definition	definition	NOUN
ejpam-1822	72	17	7	7	NUM
ejpam-1822	72	18	(	(	PUNCT
ejpam-1822	72	19	[	[	X
ejpam-1822	72	20	9	9	NUM
ejpam-1822	72	21	]	]	PUNCT
ejpam-1822	72	22	)	)	PUNCT
ejpam-1822	72	23	.	.	PUNCT
ejpam-1822	73	1	let	let	AUX
ejpam-1822	73	2	(	(	PUNCT
ejpam-1822	73	3	x	x	X
ejpam-1822	73	4	,	,	PUNCT
ejpam-1822	73	5	ρ	ρ	PROPN
ejpam-1822	73	6	)	)	PUNCT
ejpam-1822	73	7	be	be	AUX
ejpam-1822	73	8	a	a	DET
ejpam-1822	73	9	metric	metric	ADJ
ejpam-1822	73	10	space	space	NOUN
ejpam-1822	73	11	.	.	PUNCT
ejpam-1822	74	1	for	for	ADP
ejpam-1822	74	2	any	any	DET
ejpam-1822	74	3	non	non	ADJ
ejpam-1822	74	4	-	-	ADJ
ejpam-1822	74	5	empty	empty	ADJ
ejpam-1822	74	6	closed	closed	ADJ
ejpam-1822	74	7	subsets	subset	NOUN
ejpam-1822	74	8	a	a	PRON
ejpam-1822	74	9	,	,	PUNCT
ejpam-1822	74	10	ak	ak	PROPN
ejpam-1822	74	11	⊂	⊂	PROPN
ejpam-1822	74	12	x	x	X
ejpam-1822	74	13	,	,	PUNCT
ejpam-1822	74	14	we	we	PRON
ejpam-1822	74	15	say	say	VERB
ejpam-1822	74	16	{	{	PUNCT
ejpam-1822	74	17	ak	ak	PROPN
ejpam-1822	74	18	}	}	PUNCT
ejpam-1822	74	19	is	be	AUX
ejpam-1822	74	20	wijsman	wijsman	ADJ
ejpam-1822	74	21	almost	almost	ADV
ejpam-1822	74	22	statistically	statistically	ADV
ejpam-1822	74	23	convergent	convergent	ADJ
ejpam-1822	74	24	to	to	ADP
ejpam-1822	74	25	a	a	DET
ejpam-1822	74	26	if	if	NOUN
ejpam-1822	74	27	for	for	ADP
ejpam-1822	74	28	each	each	DET
ejpam-1822	74	29	ε	ε	PROPN
ejpam-1822	74	30	>	>	X
ejpam-1822	74	31	0	0	PUNCT
ejpam-1822	75	1	and	and	CCONJ
ejpam-1822	75	2	for	for	ADP
ejpam-1822	75	3	each	each	DET
ejpam-1822	75	4	x	x	SYM
ejpam-1822	75	5	∈	∈	PROPN
ejpam-1822	75	6	x	x	X
ejpam-1822	75	7	,	,	PUNCT
ejpam-1822	75	8	lim	lim	PROPN
ejpam-1822	75	9	n→∞	n→∞	NUM
ejpam-1822	75	10	1	1	NUM
ejpam-1822	75	11	n	n	NOUN
ejpam-1822	75	12	|{k	|{k	ADP
ejpam-1822	75	13	≤	≤	NOUN
ejpam-1822	75	14	n	n	NOUN
ejpam-1822	75	15	:	:	PUNCT
ejpam-1822	75	16	|d(x	|d(x	PROPN
ejpam-1822	75	17	,	,	PUNCT
ejpam-1822	75	18	ak+m)−	ak+m)−	ADJ
ejpam-1822	75	19	d(x	d(x	NOUN
ejpam-1822	75	20	,	,	PUNCT
ejpam-1822	75	21	a)|	a)|	X
ejpam-1822	75	22	≥	≥	NOUN
ejpam-1822	75	23	ε}|=	ε}|=	NOUN
ejpam-1822	75	24	0	0	NUM
ejpam-1822	75	25	uniformly	uniformly	ADV
ejpam-1822	75	26	in	in	ADP
ejpam-1822	75	27	m.	m.	NOUN
ejpam-1822	75	28	3	3	NUM
ejpam-1822	75	29	.	.	X
ejpam-1822	75	30	wijsman	wijsman	PROPN
ejpam-1822	75	31	statistically	statistically	ADV
ejpam-1822	75	32	almost	almost	ADV
ejpam-1822	75	33	λ	λ	NOUN
ejpam-1822	75	34	-	-	NOUN
ejpam-1822	75	35	convergence	convergence	NOUN
ejpam-1822	75	36	in	in	ADP
ejpam-1822	75	37	this	this	DET
ejpam-1822	75	38	section	section	NOUN
ejpam-1822	75	39	,	,	PUNCT
ejpam-1822	75	40	we	we	PRON
ejpam-1822	75	41	will	will	AUX
ejpam-1822	75	42	define	define	VERB
ejpam-1822	75	43	wijsman	wijsman	NOUN
ejpam-1822	75	44	strongly	strongly	ADV
ejpam-1822	75	45	λ	λ	NOUN
ejpam-1822	75	46	-	-	ADJ
ejpam-1822	75	47	summable	summable	ADJ
ejpam-1822	75	48	and	and	CCONJ
ejpam-1822	75	49	wijsman	wijsman	AUX
ejpam-1822	75	50	statistically	statistically	ADV
ejpam-1822	75	51	almost	almost	ADV
ejpam-1822	75	52	λ	λ	NOUN
ejpam-1822	75	53	-	-	NOUN
ejpam-1822	75	54	convergence	convergence	NOUN
ejpam-1822	75	55	of	of	ADP
ejpam-1822	75	56	sequences	sequence	NOUN
ejpam-1822	75	57	of	of	ADP
ejpam-1822	75	58	sets	set	NOUN
ejpam-1822	75	59	and	and	CCONJ
ejpam-1822	75	60	will	will	AUX
ejpam-1822	75	61	give	give	VERB
ejpam-1822	75	62	the	the	DET
ejpam-1822	75	63	relations	relation	NOUN
ejpam-1822	75	64	between	between	ADP
ejpam-1822	75	65	wijsman	wijsman	NOUN
ejpam-1822	75	66	strongly	strongly	ADV
ejpam-1822	75	67	λ	λ	NOUN
ejpam-1822	75	68	-	-	ADJ
ejpam-1822	75	69	summable	summable	ADJ
ejpam-1822	75	70	and	and	CCONJ
ejpam-1822	75	71	wisjman	wisjman	NOUN
ejpam-1822	75	72	statistically	statistically	ADV
ejpam-1822	75	73	almost	almost	ADV
ejpam-1822	75	74	λ−	λ−	PROPN
ejpam-1822	75	75	convergence	convergence	NOUN
ejpam-1822	75	76	of	of	ADP
ejpam-1822	75	77	sequences	sequence	NOUN
ejpam-1822	75	78	of	of	ADP
ejpam-1822	75	79	sets	set	NOUN
ejpam-1822	75	80	.	.	PUNCT
ejpam-1822	76	1	let	let	VERB
ejpam-1822	76	2	λ	λ	X
ejpam-1822	76	3	=	=	SYM
ejpam-1822	76	4	�	�	PROPN
ejpam-1822	76	5	λn	λn	PROPN
ejpam-1822	76	6	�	�	PROPN
ejpam-1822	76	7	be	be	AUX
ejpam-1822	76	8	a	a	DET
ejpam-1822	76	9	non	non	ADJ
ejpam-1822	76	10	-	-	ADJ
ejpam-1822	76	11	decreasing	decrease	VERB
ejpam-1822	76	12	sequence	sequence	NOUN
ejpam-1822	76	13	of	of	ADP
ejpam-1822	76	14	positive	positive	ADJ
ejpam-1822	76	15	numbers	number	NOUN
ejpam-1822	77	1	such	such	ADJ
ejpam-1822	77	2	that	that	DET
ejpam-1822	77	3	λn+1	λn+1	ADP
ejpam-1822	77	4	≤	≤	NUM
ejpam-1822	77	5	λn+	λn+	ADJ
ejpam-1822	77	6	1,λ1	1,λ1	NUM
ejpam-1822	77	7	=	=	SYM
ejpam-1822	77	8	1,λn→∞	1,λn→∞	NUM
ejpam-1822	77	9	as	as	ADP
ejpam-1822	77	10	n→∞	n→∞	NUM
ejpam-1822	77	11	and	and	CCONJ
ejpam-1822	77	12	in	in	ADP
ejpam-1822	77	13	=	=	PROPN
ejpam-1822	77	14	�	�	PROPN
ejpam-1822	77	15	n−λn+	n−λn+	PROPN
ejpam-1822	77	16	1	1	NUM
ejpam-1822	77	17	,	,	PUNCT
ejpam-1822	77	18	n	n	X
ejpam-1822	77	19	�	�	PROPN
ejpam-1822	77	20	.	.	PUNCT
ejpam-1822	78	1	definition	definition	NOUN
ejpam-1822	78	2	8	8	NUM
ejpam-1822	78	3	.	.	PUNCT
ejpam-1822	79	1	let	let	AUX
ejpam-1822	79	2	(	(	PUNCT
ejpam-1822	79	3	x	x	X
ejpam-1822	79	4	,	,	PUNCT
ejpam-1822	79	5	ρ	ρ	PROPN
ejpam-1822	79	6	)	)	PUNCT
ejpam-1822	79	7	be	be	AUX
ejpam-1822	79	8	a	a	DET
ejpam-1822	79	9	metric	metric	ADJ
ejpam-1822	79	10	space	space	NOUN
ejpam-1822	79	11	.	.	PUNCT
ejpam-1822	80	1	for	for	ADP
ejpam-1822	80	2	any	any	DET
ejpam-1822	80	3	non	non	ADJ
ejpam-1822	80	4	-	-	ADJ
ejpam-1822	80	5	empty	empty	ADJ
ejpam-1822	80	6	closed	closed	ADJ
ejpam-1822	80	7	subsets	subset	NOUN
ejpam-1822	80	8	a	a	PRON
ejpam-1822	80	9	,	,	PUNCT
ejpam-1822	80	10	ak	ak	PROPN
ejpam-1822	80	11	⊂	⊂	PROPN
ejpam-1822	80	12	x	x	X
ejpam-1822	80	13	,	,	PUNCT
ejpam-1822	80	14	we	we	PRON
ejpam-1822	80	15	say	say	VERB
ejpam-1822	80	16	{	{	PUNCT
ejpam-1822	80	17	ak	ak	PROPN
ejpam-1822	80	18	}	}	PUNCT
ejpam-1822	80	19	is	be	AUX
ejpam-1822	80	20	wijsman	wijsman	ADJ
ejpam-1822	80	21	λ	λ	NOUN
ejpam-1822	80	22	-	-	ADJ
ejpam-1822	80	23	summable	summable	ADJ
ejpam-1822	80	24	to	to	ADP
ejpam-1822	80	25	a	a	DET
ejpam-1822	80	26	if	if	NOUN
ejpam-1822	80	27	for	for	ADP
ejpam-1822	80	28	each	each	DET
ejpam-1822	80	29	x	x	SYM
ejpam-1822	80	30	∈	∈	PROPN
ejpam-1822	80	31	x	x	X
ejpam-1822	80	32	,	,	PUNCT
ejpam-1822	80	33	lim	lim	PROPN
ejpam-1822	80	34	n→∞	n→∞	NUM
ejpam-1822	80	35	1	1	NUM
ejpam-1822	80	36	λn	λn	NOUN
ejpam-1822	80	37	∑	∑	ADV
ejpam-1822	80	38	k∈in	k∈in	PROPN
ejpam-1822	80	39	d(x	d(x	PROPN
ejpam-1822	80	40	,	,	PUNCT
ejpam-1822	80	41	ak	ak	PROPN
ejpam-1822	80	42	)	)	PUNCT
ejpam-1822	80	43	=	=	SYM
ejpam-1822	80	44	d(x	d(x	PROPN
ejpam-1822	80	45	,	,	PUNCT
ejpam-1822	80	46	a	a	PRON
ejpam-1822	80	47	)	)	PUNCT
ejpam-1822	80	48	.	.	PUNCT
ejpam-1822	81	1	if	if	SCONJ
ejpam-1822	81	2	λn	λn	PROPN
ejpam-1822	81	3	=	=	SYM
ejpam-1822	81	4	n	n	CCONJ
ejpam-1822	81	5	,	,	PUNCT
ejpam-1822	81	6	then	then	ADV
ejpam-1822	81	7	wijsman	wijsman	VERB
ejpam-1822	81	8	λ	λ	PROPN
ejpam-1822	81	9	-	-	ADJ
ejpam-1822	81	10	summable	summable	ADJ
ejpam-1822	81	11	reduces	reduce	VERB
ejpam-1822	81	12	to	to	PART
ejpam-1822	81	13	wijsman	wijsman	VERB
ejpam-1822	81	14	cesaro	cesaro	PROPN
ejpam-1822	81	15	summable	summable	ADJ
ejpam-1822	81	16	.	.	PUNCT
ejpam-1822	82	1	definition	definition	NOUN
ejpam-1822	82	2	9	9	NUM
ejpam-1822	82	3	.	.	PUNCT
ejpam-1822	83	1	let	let	AUX
ejpam-1822	83	2	(	(	PUNCT
ejpam-1822	83	3	x	x	X
ejpam-1822	83	4	,	,	PUNCT
ejpam-1822	83	5	ρ	ρ	PROPN
ejpam-1822	83	6	)	)	PUNCT
ejpam-1822	83	7	be	be	AUX
ejpam-1822	83	8	a	a	DET
ejpam-1822	83	9	metric	metric	ADJ
ejpam-1822	83	10	space	space	NOUN
ejpam-1822	83	11	.	.	PUNCT
ejpam-1822	84	1	for	for	ADP
ejpam-1822	84	2	any	any	DET
ejpam-1822	84	3	non	non	ADJ
ejpam-1822	84	4	-	-	ADJ
ejpam-1822	84	5	empty	empty	ADJ
ejpam-1822	84	6	closed	closed	ADJ
ejpam-1822	84	7	subsets	subset	NOUN
ejpam-1822	84	8	a	a	PRON
ejpam-1822	84	9	,	,	PUNCT
ejpam-1822	84	10	ak	ak	PROPN
ejpam-1822	84	11	⊂	⊂	PROPN
ejpam-1822	84	12	x	x	X
ejpam-1822	84	13	,	,	PUNCT
ejpam-1822	84	14	we	we	PRON
ejpam-1822	84	15	say	say	VERB
ejpam-1822	84	16	{	{	PUNCT
ejpam-1822	84	17	ak	ak	PROPN
ejpam-1822	84	18	}	}	PUNCT
ejpam-1822	84	19	is	be	AUX
ejpam-1822	84	20	wijsman	wijsman	ADJ
ejpam-1822	84	21	strongly	strongly	ADV
ejpam-1822	84	22	λ	λ	NOUN
ejpam-1822	84	23	-	-	ADJ
ejpam-1822	84	24	summable	summable	ADJ
ejpam-1822	84	25	to	to	ADP
ejpam-1822	84	26	a	a	DET
ejpam-1822	84	27	if	if	NOUN
ejpam-1822	84	28	for	for	SCONJ
ejpam-1822	84	29	each	each	DET
ejpam-1822	84	30	x	x	SYM
ejpam-1822	84	31	∈	∈	PROPN
ejpam-1822	84	32	x	x	X
ejpam-1822	84	33	,	,	PUNCT
ejpam-1822	84	34	lim	lim	PROPN
ejpam-1822	84	35	n→∞	n→∞	NUM
ejpam-1822	84	36	1	1	NUM
ejpam-1822	84	37	λn	λn	NOUN
ejpam-1822	84	38	∑	∑	PUNCT
ejpam-1822	84	39	k∈in	k∈in	PROPN
ejpam-1822	84	40	|d(x	|d(x	PROPN
ejpam-1822	84	41	,	,	PUNCT
ejpam-1822	84	42	ak)−	ak)−	ADJ
ejpam-1822	84	43	d(x	d(x	NOUN
ejpam-1822	84	44	,	,	PUNCT
ejpam-1822	84	45	a)|=	a)|=	PROPN
ejpam-1822	84	46	0	0	NUM
ejpam-1822	84	47	.	.	PUNCT
ejpam-1822	85	1	in	in	ADP
ejpam-1822	85	2	this	this	DET
ejpam-1822	85	3	case	case	NOUN
ejpam-1822	85	4	,	,	PUNCT
ejpam-1822	85	5	we	we	PRON
ejpam-1822	85	6	write	write	VERB
ejpam-1822	85	7	ww	ww	PROPN
ejpam-1822	85	8	λ	λ	PROPN
ejpam-1822	86	1	−	−	PROPN
ejpam-1822	86	2	limk	limk	PROPN
ejpam-1822	86	3	ak	ak	PROPN
ejpam-1822	86	4	=	=	PROPN
ejpam-1822	86	5	a	a	PRON
ejpam-1822	86	6	or	or	CCONJ
ejpam-1822	86	7	ak→	ak→	NOUN
ejpam-1822	86	8	a	a	DET
ejpam-1822	86	9	�	�	PROPN
ejpam-1822	86	10	ww	ww	PROPN
ejpam-1822	86	11	λ	λ	PROPN
ejpam-1822	86	12	�	�	PROPN
ejpam-1822	86	13	and	and	CCONJ
ejpam-1822	86	14	ww	ww	PROPN
ejpam-1822	86	15	λ	λ	PROPN
ejpam-1822	86	16	=	=	PUNCT
ejpam-1822	86	17			PROPN
ejpam-1822	86	18			ADP
ejpam-1822	86	19			ADJ
ejpam-1822	86	20	�	�	PROPN
ejpam-1822	86	21	ak	ak	PROPN
ejpam-1822	86	22	�	�	PROPN
ejpam-1822	86	23	:	:	PUNCT
ejpam-1822	86	24	lim	lim	PROPN
ejpam-1822	86	25	n	n	PROPN
ejpam-1822	86	26	1	1	NUM
ejpam-1822	86	27	λn	λn	NOUN
ejpam-1822	86	28	∑	∑	ADV
ejpam-1822	86	29	k∈in	k∈in	PROPN
ejpam-1822	86	30	�	�	PROPN
ejpam-1822	86	31	�	�	PROPN
ejpam-1822	86	32	d(x	d(x	PROPN
ejpam-1822	86	33	,	,	PUNCT
ejpam-1822	86	34	ak)−	ak)−	ADJ
ejpam-1822	86	35	d(x	d(x	NOUN
ejpam-1822	86	36	,	,	PUNCT
ejpam-1822	86	37	a	a	DET
ejpam-1822	86	38	)	)	PUNCT
ejpam-1822	86	39	�	�	PROPN
ejpam-1822	86	40	�	�	PROPN
ejpam-1822	86	41	=	=	SYM
ejpam-1822	86	42	0	0	NUM
ejpam-1822	86	43			PROPN
ejpam-1822	86	44			PROPN
ejpam-1822	86	45			NOUN
ejpam-1822	86	46	.	.	PUNCT
ejpam-1822	87	1	if	if	SCONJ
ejpam-1822	87	2	λn	λn	PROPN
ejpam-1822	87	3	=	=	SYM
ejpam-1822	87	4	n	n	CCONJ
ejpam-1822	87	5	,	,	PUNCT
ejpam-1822	87	6	then	then	ADV
ejpam-1822	87	7	wijsman	wijsman	VERB
ejpam-1822	87	8	strongly	strongly	ADV
ejpam-1822	87	9	λ	λ	ADJ
ejpam-1822	87	10	-	-	ADJ
ejpam-1822	87	11	summable	summable	ADJ
ejpam-1822	87	12	reduces	reduce	NOUN
ejpam-1822	87	13	to	to	PART
ejpam-1822	87	14	wijsman	wijsman	VERB
ejpam-1822	87	15	strongly	strongly	ADV
ejpam-1822	87	16	cesaro	cesaro	ADJ
ejpam-1822	87	17	summable	summable	ADJ
ejpam-1822	87	18	,	,	PUNCT
ejpam-1822	87	19	i.e.	i.e.	X
ejpam-1822	87	20	ww	ww	PROPN
ejpam-1822	87	21	=	=	SYM
ejpam-1822	87	22	(	(	PUNCT
ejpam-1822	87	23	�	�	PROPN
ejpam-1822	87	24	ak	ak	PROPN
ejpam-1822	87	25	�	�	PROPN
ejpam-1822	87	26	:	:	PUNCT
ejpam-1822	87	27	lim	lim	PROPN
ejpam-1822	87	28	n	n	PROPN
ejpam-1822	87	29	1	1	NUM
ejpam-1822	87	30	n	n	NUM
ejpam-1822	87	31	∑	∑	PROPN
ejpam-1822	87	32	k∈n	k∈n	PROPN
ejpam-1822	87	33	�	�	PROPN
ejpam-1822	87	34	�	�	PROPN
ejpam-1822	87	35	d(x	d(x	PROPN
ejpam-1822	87	36	,	,	PUNCT
ejpam-1822	87	37	ak)−	ak)−	ADJ
ejpam-1822	87	38	d(x	d(x	NOUN
ejpam-1822	87	39	,	,	PUNCT
ejpam-1822	87	40	a	a	DET
ejpam-1822	87	41	)	)	PUNCT
ejpam-1822	87	42	�	�	PROPN
ejpam-1822	87	43	�	�	PROPN
ejpam-1822	87	44	=	=	NOUN
ejpam-1822	87	45	0	0	NUM
ejpam-1822	87	46	)	)	PUNCT
ejpam-1822	87	47	.	.	PUNCT
ejpam-1822	88	1	definition	definition	NOUN
ejpam-1822	88	2	10	10	NUM
ejpam-1822	88	3	.	.	PUNCT
ejpam-1822	89	1	let	let	AUX
ejpam-1822	89	2	(	(	PUNCT
ejpam-1822	89	3	x	x	X
ejpam-1822	89	4	,	,	PUNCT
ejpam-1822	89	5	ρ	ρ	PROPN
ejpam-1822	89	6	)	)	PUNCT
ejpam-1822	89	7	be	be	AUX
ejpam-1822	89	8	a	a	DET
ejpam-1822	89	9	metric	metric	ADJ
ejpam-1822	89	10	space	space	NOUN
ejpam-1822	89	11	.	.	PUNCT
ejpam-1822	90	1	for	for	ADP
ejpam-1822	90	2	any	any	DET
ejpam-1822	90	3	non	non	ADJ
ejpam-1822	90	4	-	-	ADJ
ejpam-1822	90	5	empty	empty	ADJ
ejpam-1822	90	6	closed	closed	ADJ
ejpam-1822	90	7	subsets	subset	NOUN
ejpam-1822	90	8	a	a	PRON
ejpam-1822	90	9	,	,	PUNCT
ejpam-1822	90	10	ak	ak	PROPN
ejpam-1822	90	11	⊂	⊂	PROPN
ejpam-1822	90	12	x	x	X
ejpam-1822	90	13	,	,	PUNCT
ejpam-1822	90	14	we	we	PRON
ejpam-1822	90	15	say	say	VERB
ejpam-1822	90	16	{	{	PUNCT
ejpam-1822	90	17	ak	ak	PROPN
ejpam-1822	90	18	}	}	PUNCT
ejpam-1822	90	19	is	be	AUX
ejpam-1822	90	20	wijsman	wijsman	ADJ
ejpam-1822	90	21	almost	almost	ADV
ejpam-1822	90	22	λ	λ	NOUN
ejpam-1822	90	23	-	-	NOUN
ejpam-1822	90	24	convergent	convergent	NOUN
ejpam-1822	90	25	to	to	ADP
ejpam-1822	90	26	a	a	DET
ejpam-1822	90	27	if	if	NOUN
ejpam-1822	90	28	for	for	ADP
ejpam-1822	90	29	each	each	DET
ejpam-1822	90	30	x	x	SYM
ejpam-1822	90	31	∈	∈	PROPN
ejpam-1822	90	32	x	x	X
ejpam-1822	90	33	,	,	PUNCT
ejpam-1822	90	34	lim	lim	PROPN
ejpam-1822	90	35	n→∞	n→∞	NUM
ejpam-1822	90	36	1	1	NUM
ejpam-1822	90	37	λn	λn	NOUN
ejpam-1822	90	38	∑	∑	ADV
ejpam-1822	90	39	k∈in	k∈in	PROPN
ejpam-1822	90	40	d(x	d(x	PROPN
ejpam-1822	90	41	,	,	PUNCT
ejpam-1822	90	42	ak+m	ak+m	NOUN
ejpam-1822	90	43	)	)	PUNCT
ejpam-1822	90	44	=	=	SYM
ejpam-1822	90	45	d(x	d(x	PROPN
ejpam-1822	90	46	,	,	PUNCT
ejpam-1822	90	47	a	a	PRON
ejpam-1822	90	48	)	)	PUNCT
ejpam-1822	90	49	uniformly	uniformly	ADV
ejpam-1822	90	50	in	in	ADP
ejpam-1822	90	51	m.	m.	PROPN
ejpam-1822	90	52	b.	b.	PROPN
ejpam-1822	90	53	hazarika	hazarika	PROPN
ejpam-1822	90	54	,	,	PUNCT
ejpam-1822	90	55	a.	a.	PROPN
ejpam-1822	90	56	esi	esi	PROPN
ejpam-1822	90	57	/	/	SYM
ejpam-1822	90	58	eur	eur	PROPN
ejpam-1822	90	59	.	.	PUNCT
ejpam-1822	91	1	j.	j.	PROPN
ejpam-1822	91	2	pure	pure	PROPN
ejpam-1822	91	3	appl	appl	PROPN
ejpam-1822	91	4	.	.	PROPN
ejpam-1822	91	5	math	math	PROPN
ejpam-1822	91	6	,	,	PUNCT
ejpam-1822	91	7	6	6	NUM
ejpam-1822	91	8	(	(	PUNCT
ejpam-1822	91	9	2013	2013	NUM
ejpam-1822	91	10	)	)	PUNCT
ejpam-1822	91	11	,	,	PUNCT
ejpam-1822	91	12	137	137	NUM
ejpam-1822	91	13	-	-	SYM
ejpam-1822	91	14	146	146	NUM
ejpam-1822	91	15	141	141	NUM
ejpam-1822	91	16	if	if	SCONJ
ejpam-1822	91	17	λn	λn	NOUN
ejpam-1822	91	18	=	=	SYM
ejpam-1822	91	19	n	n	CCONJ
ejpam-1822	91	20	,	,	PUNCT
ejpam-1822	91	21	then	then	ADV
ejpam-1822	91	22	wijsman	wijsman	VERB
ejpam-1822	91	23	almost	almost	ADV
ejpam-1822	91	24	λ	λ	NOUN
ejpam-1822	91	25	-	-	NOUN
ejpam-1822	91	26	convergent	convergent	NOUN
ejpam-1822	91	27	reduces	reduce	VERB
ejpam-1822	91	28	to	to	PART
ejpam-1822	91	29	wijsman	wijsman	VERB
ejpam-1822	91	30	almost	almost	ADV
ejpam-1822	91	31	convergent	convergent	NOUN
ejpam-1822	91	32	.	.	PUNCT
ejpam-1822	92	1	in	in	ADP
ejpam-1822	92	2	special	special	ADJ
ejpam-1822	92	3	case	case	NOUN
ejpam-1822	92	4	m=	m=	X
ejpam-1822	92	5	0	0	NUM
ejpam-1822	92	6	,	,	PUNCT
ejpam-1822	92	7	then	then	ADV
ejpam-1822	92	8	wijsman	wijsman	VERB
ejpam-1822	92	9	almost	almost	ADV
ejpam-1822	92	10	λ	λ	NOUN
ejpam-1822	92	11	-	-	NOUN
ejpam-1822	92	12	convergent	convergent	NOUN
ejpam-1822	92	13	reduces	reduce	VERB
ejpam-1822	92	14	to	to	PART
ejpam-1822	92	15	wijsman	wijsman	VERB
ejpam-1822	92	16	λ	λ	PROPN
ejpam-1822	92	17	-	-	ADJ
ejpam-1822	92	18	summable	summable	ADJ
ejpam-1822	92	19	.	.	PUNCT
ejpam-1822	93	1	definition	definition	NOUN
ejpam-1822	93	2	11	11	NUM
ejpam-1822	93	3	.	.	PUNCT
ejpam-1822	94	1	let	let	AUX
ejpam-1822	94	2	(	(	PUNCT
ejpam-1822	94	3	x	x	X
ejpam-1822	94	4	,	,	PUNCT
ejpam-1822	94	5	ρ	ρ	PROPN
ejpam-1822	94	6	)	)	PUNCT
ejpam-1822	94	7	be	be	AUX
ejpam-1822	94	8	a	a	DET
ejpam-1822	94	9	metric	metric	ADJ
ejpam-1822	94	10	space	space	NOUN
ejpam-1822	94	11	.	.	PUNCT
ejpam-1822	95	1	for	for	ADP
ejpam-1822	95	2	any	any	DET
ejpam-1822	95	3	non	non	ADJ
ejpam-1822	95	4	-	-	ADJ
ejpam-1822	95	5	empty	empty	ADJ
ejpam-1822	95	6	closed	closed	ADJ
ejpam-1822	95	7	subsets	subset	NOUN
ejpam-1822	95	8	a	a	PRON
ejpam-1822	95	9	,	,	PUNCT
ejpam-1822	95	10	ak	ak	PROPN
ejpam-1822	95	11	⊂	⊂	PROPN
ejpam-1822	95	12	x	x	X
ejpam-1822	95	13	,	,	PUNCT
ejpam-1822	95	14	we	we	PRON
ejpam-1822	95	15	say	say	VERB
ejpam-1822	95	16	{	{	PUNCT
ejpam-1822	95	17	ak	ak	PROPN
ejpam-1822	95	18	}	}	PUNCT
ejpam-1822	95	19	is	be	AUX
ejpam-1822	95	20	wijsman	wijsman	VERB
ejpam-1822	95	21	strongly	strongly	ADV
ejpam-1822	95	22	almost	almost	ADV
ejpam-1822	95	23	λ	λ	NOUN
ejpam-1822	95	24	-	-	NOUN
ejpam-1822	95	25	convergent	convergent	NOUN
ejpam-1822	95	26	to	to	ADP
ejpam-1822	95	27	a	a	DET
ejpam-1822	95	28	if	if	NOUN
ejpam-1822	95	29	for	for	SCONJ
ejpam-1822	95	30	each	each	DET
ejpam-1822	95	31	x	x	SYM
ejpam-1822	95	32	∈	∈	PROPN
ejpam-1822	95	33	x	x	X
ejpam-1822	95	34	,	,	PUNCT
ejpam-1822	95	35	lim	lim	PROPN
ejpam-1822	95	36	n→∞	n→∞	NUM
ejpam-1822	95	37	1	1	NUM
ejpam-1822	95	38	λn	λn	NOUN
ejpam-1822	95	39	∑	∑	ADV
ejpam-1822	95	40	k∈in	k∈in	PROPN
ejpam-1822	95	41	|d(x	|d(x	PROPN
ejpam-1822	95	42	,	,	PUNCT
ejpam-1822	95	43	ak+m)−	ak+m)−	ADJ
ejpam-1822	95	44	d(x	d(x	NOUN
ejpam-1822	95	45	,	,	PUNCT
ejpam-1822	95	46	a)|=	a)|=	PROPN
ejpam-1822	95	47	0	0	NUM
ejpam-1822	95	48	uniformly	uniformly	ADV
ejpam-1822	95	49	in	in	ADP
ejpam-1822	95	50	m.	m.	NOUN
ejpam-1822	95	51	in	in	ADP
ejpam-1822	95	52	this	this	DET
ejpam-1822	95	53	case	case	NOUN
ejpam-1822	95	54	,	,	PUNCT
ejpam-1822	95	55	we	we	PRON
ejpam-1822	95	56	write	write	VERB
ejpam-1822	95	57	ww	ww	PROPN
ejpam-1822	95	58	λ	λ	PROPN
ejpam-1822	95	59	−	−	PROPN
ejpam-1822	95	60	limk	limk	PROPN
ejpam-1822	95	61	ak	ak	PROPN
ejpam-1822	95	62	=	=	PROPN
ejpam-1822	95	63	a	a	PRON
ejpam-1822	95	64	or	or	CCONJ
ejpam-1822	95	65	ak→	ak→	NOUN
ejpam-1822	95	66	a	a	DET
ejpam-1822	95	67	�	�	PROPN
ejpam-1822	95	68	ww	ww	PROPN
ejpam-1822	95	69	λ	λ	PROPN
ejpam-1822	95	70	�	�	PROPN
ejpam-1822	95	71	.	.	PUNCT
ejpam-1822	96	1	if	if	SCONJ
ejpam-1822	96	2	λn	λn	PROPN
ejpam-1822	96	3	=	=	SYM
ejpam-1822	96	4	n	n	CCONJ
ejpam-1822	96	5	,	,	PUNCT
ejpam-1822	96	6	then	then	ADV
ejpam-1822	96	7	wijsman	wijsman	VERB
ejpam-1822	96	8	strongly	strongly	ADV
ejpam-1822	96	9	almost	almost	ADV
ejpam-1822	96	10	λ	λ	NOUN
ejpam-1822	96	11	-	-	NOUN
ejpam-1822	96	12	convergent	convergent	NOUN
ejpam-1822	96	13	reduces	reduce	VERB
ejpam-1822	96	14	to	to	PART
ejpam-1822	96	15	wijsman	wijsman	VERB
ejpam-1822	96	16	strongly	strongly	ADV
ejpam-1822	96	17	almost	almost	ADV
ejpam-1822	96	18	convergent	convergent	ADJ
ejpam-1822	96	19	.	.	PUNCT
ejpam-1822	97	1	in	in	ADP
ejpam-1822	97	2	special	special	ADJ
ejpam-1822	97	3	case	case	NOUN
ejpam-1822	97	4	m	m	NOUN
ejpam-1822	97	5	=	=	SYM
ejpam-1822	97	6	0	0	NUM
ejpam-1822	97	7	,	,	PUNCT
ejpam-1822	97	8	then	then	ADV
ejpam-1822	97	9	wijsman	wijsman	VERB
ejpam-1822	97	10	strongly	strongly	ADV
ejpam-1822	97	11	almost	almost	ADV
ejpam-1822	97	12	λ	λ	NOUN
ejpam-1822	97	13	-	-	NOUN
ejpam-1822	97	14	convergent	convergent	NOUN
ejpam-1822	97	15	reduces	reduce	VERB
ejpam-1822	97	16	to	to	PART
ejpam-1822	97	17	wijsman	wijsman	VERB
ejpam-1822	97	18	strongly	strongly	ADV
ejpam-1822	97	19	λ	λ	NOUN
ejpam-1822	97	20	-	-	ADJ
ejpam-1822	97	21	summable	summable	ADJ
ejpam-1822	97	22	.	.	PUNCT
ejpam-1822	98	1	definition	definition	NOUN
ejpam-1822	98	2	12	12	NUM
ejpam-1822	98	3	.	.	PUNCT
ejpam-1822	99	1	let	let	AUX
ejpam-1822	99	2	(	(	PUNCT
ejpam-1822	99	3	x	x	X
ejpam-1822	99	4	,	,	PUNCT
ejpam-1822	99	5	ρ	ρ	PROPN
ejpam-1822	99	6	)	)	PUNCT
ejpam-1822	99	7	be	be	AUX
ejpam-1822	99	8	a	a	DET
ejpam-1822	99	9	metric	metric	ADJ
ejpam-1822	99	10	space	space	NOUN
ejpam-1822	99	11	.	.	PUNCT
ejpam-1822	100	1	for	for	ADP
ejpam-1822	100	2	any	any	DET
ejpam-1822	100	3	non	non	ADJ
ejpam-1822	100	4	-	-	ADJ
ejpam-1822	100	5	empty	empty	ADJ
ejpam-1822	100	6	closed	closed	ADJ
ejpam-1822	100	7	subsets	subset	NOUN
ejpam-1822	100	8	a	a	PRON
ejpam-1822	100	9	,	,	PUNCT
ejpam-1822	100	10	ak	ak	PROPN
ejpam-1822	100	11	⊂	⊂	PROPN
ejpam-1822	100	12	x	x	X
ejpam-1822	100	13	(	(	PUNCT
ejpam-1822	100	14	k	k	PROPN
ejpam-1822	100	15	∈	∈	PROPN
ejpam-1822	100	16	n	n	CCONJ
ejpam-1822	100	17	)	)	PUNCT
ejpam-1822	100	18	,	,	PUNCT
ejpam-1822	100	19	we	we	PRON
ejpam-1822	100	20	say	say	VERB
ejpam-1822	100	21	that	that	SCONJ
ejpam-1822	100	22	the	the	DET
ejpam-1822	100	23	sequence	sequence	NOUN
ejpam-1822	100	24	�	�	PROPN
ejpam-1822	100	25	ak	ak	PROPN
ejpam-1822	100	26	�	�	PROPN
ejpam-1822	100	27	is	be	AUX
ejpam-1822	100	28	wijsman	wijsman	ADJ
ejpam-1822	100	29	statistically	statistically	ADV
ejpam-1822	100	30	λ	λ	NOUN
ejpam-1822	100	31	-	-	NOUN
ejpam-1822	100	32	convergent	convergent	NOUN
ejpam-1822	100	33	to	to	ADP
ejpam-1822	100	34	a	a	PRON
ejpam-1822	100	35	if	if	SCONJ
ejpam-1822	100	36	the	the	DET
ejpam-1822	100	37	sequence	sequence	NOUN
ejpam-1822	100	38	�	�	PROPN
ejpam-1822	100	39	d(x	d(x	PROPN
ejpam-1822	100	40	,	,	PUNCT
ejpam-1822	100	41	ak	ak	PROPN
ejpam-1822	100	42	)	)	PUNCT
ejpam-1822	100	43	�	�	PROPN
ejpam-1822	100	44	is	be	AUX
ejpam-1822	100	45	statistically	statistically	ADV
ejpam-1822	100	46	λ−	λ−	PROPN
ejpam-1822	100	47	convergent	convergent	NOUN
ejpam-1822	100	48	to	to	ADP
ejpam-1822	100	49	d(x	d(x	PROPN
ejpam-1822	100	50	,	,	PUNCT
ejpam-1822	100	51	a	a	PRON
ejpam-1822	100	52	)	)	PUNCT
ejpam-1822	100	53	,	,	PUNCT
ejpam-1822	100	54	i.e.	i.e.	X
ejpam-1822	100	55	,	,	PUNCT
ejpam-1822	100	56	for	for	ADP
ejpam-1822	100	57	ε	ε	PROPN
ejpam-1822	100	58	>	>	X
ejpam-1822	100	59	0	0	PUNCT
ejpam-1822	100	60	and	and	CCONJ
ejpam-1822	100	61	for	for	ADP
ejpam-1822	100	62	each	each	DET
ejpam-1822	100	63	x	x	SYM
ejpam-1822	100	64	∈	∈	PROPN
ejpam-1822	100	65	x	x	SYM
ejpam-1822	100	66	lim	lim	PROPN
ejpam-1822	100	67	n	n	PROPN
ejpam-1822	100	68	1	1	NUM
ejpam-1822	100	69	λn	λn	PROPN
ejpam-1822	100	70	�	�	PROPN
ejpam-1822	100	71	�	�	PROPN
ejpam-1822	100	72	�	�	PROPN
ejpam-1822	100	73	¦	¦	PROPN
ejpam-1822	100	74	k	k	PROPN
ejpam-1822	100	75	∈	∈	PROPN
ejpam-1822	100	76	in	in	ADP
ejpam-1822	100	77	:	:	PUNCT
ejpam-1822	100	78	�	�	PROPN
ejpam-1822	100	79	�	�	PROPN
ejpam-1822	100	80	d(x	d(x	PROPN
ejpam-1822	100	81	,	,	PUNCT
ejpam-1822	100	82	ak)−	ak)−	ADJ
ejpam-1822	100	83	d(x	d(x	NOUN
ejpam-1822	100	84	,	,	PUNCT
ejpam-1822	100	85	a	a	PRON
ejpam-1822	100	86	)	)	PUNCT
ejpam-1822	100	87	�	�	PROPN
ejpam-1822	100	88	�	�	PROPN
ejpam-1822	100	89	≥	≥	PROPN
ejpam-1822	100	90	ε	ε	PROPN
ejpam-1822	100	91	©	©	PROPN
ejpam-1822	100	92	�	�	PROPN
ejpam-1822	100	93	�	�	PROPN
ejpam-1822	100	94	�	�	PROPN
ejpam-1822	100	95	=	=	PROPN
ejpam-1822	100	96	0	0	NUM
ejpam-1822	100	97	.	.	PUNCT
ejpam-1822	101	1	in	in	ADP
ejpam-1822	101	2	this	this	DET
ejpam-1822	101	3	case	case	NOUN
ejpam-1822	101	4	,	,	PUNCT
ejpam-1822	101	5	we	we	PRON
ejpam-1822	101	6	write	write	VERB
ejpam-1822	101	7	sw	sw	PROPN
ejpam-1822	101	8	λ	λ	PROPN
ejpam-1822	101	9	−	−	PROPN
ejpam-1822	101	10	limk	limk	PROPN
ejpam-1822	101	11	ak	ak	PROPN
ejpam-1822	101	12	=	=	PROPN
ejpam-1822	101	13	a	a	PRON
ejpam-1822	101	14	or	or	CCONJ
ejpam-1822	101	15	ak→	ak→	NOUN
ejpam-1822	101	16	a	a	DET
ejpam-1822	101	17	�	�	PROPN
ejpam-1822	101	18	sw	sw	PROPN
ejpam-1822	101	19	λ	λ	PROPN
ejpam-1822	101	20	�	�	PROPN
ejpam-1822	101	21	.	.	PUNCT
ejpam-1822	102	1	if	if	SCONJ
ejpam-1822	102	2	λn	λn	PROPN
ejpam-1822	102	3	=	=	SYM
ejpam-1822	102	4	n	n	CCONJ
ejpam-1822	102	5	,	,	PUNCT
ejpam-1822	102	6	then	then	ADV
ejpam-1822	102	7	wijsman	wijsman	VERB
ejpam-1822	102	8	statistical	statistical	ADJ
ejpam-1822	102	9	λ	λ	PROPN
ejpam-1822	102	10	-	-	NOUN
ejpam-1822	102	11	convergent	convergent	NOUN
ejpam-1822	102	12	reduces	reduce	VERB
ejpam-1822	102	13	to	to	PART
ejpam-1822	102	14	wijsman	wijsman	VERB
ejpam-1822	102	15	statistical	statistical	ADJ
ejpam-1822	102	16	convergent	convergent	NOUN
ejpam-1822	102	17	.	.	PUNCT
ejpam-1822	103	1	definition	definition	NOUN
ejpam-1822	103	2	13	13	NUM
ejpam-1822	103	3	.	.	PUNCT
ejpam-1822	104	1	let	let	AUX
ejpam-1822	104	2	(	(	PUNCT
ejpam-1822	104	3	x	x	X
ejpam-1822	104	4	,	,	PUNCT
ejpam-1822	104	5	ρ	ρ	PROPN
ejpam-1822	104	6	)	)	PUNCT
ejpam-1822	104	7	be	be	AUX
ejpam-1822	104	8	a	a	DET
ejpam-1822	104	9	metric	metric	ADJ
ejpam-1822	104	10	space	space	NOUN
ejpam-1822	104	11	.	.	PUNCT
ejpam-1822	105	1	for	for	ADP
ejpam-1822	105	2	any	any	DET
ejpam-1822	105	3	non	non	ADJ
ejpam-1822	105	4	-	-	ADJ
ejpam-1822	105	5	empty	empty	ADJ
ejpam-1822	105	6	closed	closed	ADJ
ejpam-1822	105	7	subsets	subset	NOUN
ejpam-1822	105	8	a	a	PRON
ejpam-1822	105	9	,	,	PUNCT
ejpam-1822	105	10	ak	ak	PROPN
ejpam-1822	105	11	⊂	⊂	PROPN
ejpam-1822	105	12	x	x	X
ejpam-1822	105	13	,	,	PUNCT
ejpam-1822	105	14	we	we	PRON
ejpam-1822	105	15	say	say	VERB
ejpam-1822	105	16	{	{	PUNCT
ejpam-1822	105	17	ak	ak	PROPN
ejpam-1822	105	18	}	}	PUNCT
ejpam-1822	105	19	is	be	AUX
ejpam-1822	105	20	wijsman	wijsman	ADJ
ejpam-1822	105	21	almost	almost	ADV
ejpam-1822	105	22	statistically	statistically	ADV
ejpam-1822	105	23	λ	λ	NOUN
ejpam-1822	105	24	-	-	NOUN
ejpam-1822	105	25	convergent	convergent	NOUN
ejpam-1822	105	26	to	to	ADP
ejpam-1822	105	27	a	a	DET
ejpam-1822	105	28	if	if	NOUN
ejpam-1822	105	29	for	for	ADP
ejpam-1822	105	30	each	each	DET
ejpam-1822	105	31	ε	ε	PROPN
ejpam-1822	105	32	>	>	X
ejpam-1822	105	33	0	0	PUNCT
ejpam-1822	106	1	and	and	CCONJ
ejpam-1822	106	2	for	for	ADP
ejpam-1822	106	3	each	each	DET
ejpam-1822	106	4	x	x	SYM
ejpam-1822	106	5	∈	∈	PROPN
ejpam-1822	106	6	x	x	X
ejpam-1822	106	7	,	,	PUNCT
ejpam-1822	106	8	lim	lim	PROPN
ejpam-1822	106	9	n→∞	n→∞	NUM
ejpam-1822	106	10	1	1	NUM
ejpam-1822	106	11	λn	λn	NOUN
ejpam-1822	106	12	|{k	|{k	X
ejpam-1822	106	13	∈	∈	NOUN
ejpam-1822	106	14	in	in	ADP
ejpam-1822	106	15	:	:	PUNCT
ejpam-1822	106	16	|d(x	|d(x	PROPN
ejpam-1822	106	17	,	,	PUNCT
ejpam-1822	106	18	ak+m)−	ak+m)−	ADJ
ejpam-1822	106	19	d(x	d(x	NOUN
ejpam-1822	106	20	,	,	PUNCT
ejpam-1822	106	21	a)|	a)|	X
ejpam-1822	106	22	≥	≥	NOUN
ejpam-1822	106	23	ε}|=	ε}|=	NOUN
ejpam-1822	106	24	0	0	NUM
ejpam-1822	106	25	uniformly	uniformly	ADV
ejpam-1822	106	26	in	in	ADP
ejpam-1822	106	27	m.	m.	NOUN
ejpam-1822	106	28	in	in	ADP
ejpam-1822	106	29	this	this	DET
ejpam-1822	106	30	case	case	NOUN
ejpam-1822	106	31	,	,	PUNCT
ejpam-1822	106	32	we	we	PRON
ejpam-1822	106	33	write	write	VERB
ejpam-1822	106	34	sw	sw	PROPN
ejpam-1822	106	35	λ	λ	PROPN
ejpam-1822	106	36	−	−	PROPN
ejpam-1822	106	37	limk	limk	PROPN
ejpam-1822	106	38	ak	ak	PROPN
ejpam-1822	106	39	=	=	PROPN
ejpam-1822	106	40	a	a	PRON
ejpam-1822	106	41	or	or	CCONJ
ejpam-1822	106	42	ak→	ak→	NOUN
ejpam-1822	106	43	a	a	DET
ejpam-1822	106	44	�	�	PROPN
ejpam-1822	106	45	sw	sw	PROPN
ejpam-1822	106	46	λ	λ	PROPN
ejpam-1822	106	47	�	�	PROPN
ejpam-1822	106	48	.	.	PUNCT
ejpam-1822	107	1	if	if	SCONJ
ejpam-1822	107	2	λn	λn	PROPN
ejpam-1822	107	3	=	=	SYM
ejpam-1822	107	4	n	n	CCONJ
ejpam-1822	107	5	,	,	PUNCT
ejpam-1822	107	6	then	then	ADV
ejpam-1822	107	7	wijsman	wijsman	VERB
ejpam-1822	107	8	almost	almost	ADV
ejpam-1822	107	9	statistically	statistically	ADV
ejpam-1822	107	10	λ	λ	NOUN
ejpam-1822	107	11	-	-	NOUN
ejpam-1822	107	12	convergent	convergent	NOUN
ejpam-1822	107	13	reduces	reduce	VERB
ejpam-1822	107	14	to	to	PART
ejpam-1822	107	15	wijsman	wijsman	VERB
ejpam-1822	107	16	almost	almost	ADV
ejpam-1822	107	17	statistically	statistically	ADV
ejpam-1822	107	18	convergent	convergent	ADJ
ejpam-1822	107	19	.	.	PUNCT
ejpam-1822	108	1	in	in	ADP
ejpam-1822	108	2	special	special	ADJ
ejpam-1822	108	3	case	case	NOUN
ejpam-1822	108	4	m=	m=	X
ejpam-1822	108	5	0	0	NUM
ejpam-1822	108	6	,	,	PUNCT
ejpam-1822	108	7	then	then	ADV
ejpam-1822	108	8	wijsman	wijsman	VERB
ejpam-1822	108	9	almost	almost	ADV
ejpam-1822	108	10	statistically	statistically	ADV
ejpam-1822	108	11	λ	λ	NOUN
ejpam-1822	108	12	-	-	NOUN
ejpam-1822	108	13	convergent	convergent	NOUN
ejpam-1822	108	14	reduces	reduce	VERB
ejpam-1822	108	15	to	to	PART
ejpam-1822	108	16	wijsman	wijsman	VERB
ejpam-1822	108	17	statistically	statistically	ADV
ejpam-1822	108	18	λ	λ	NOUN
ejpam-1822	108	19	-	-	NOUN
ejpam-1822	108	20	convergent	convergent	NOUN
ejpam-1822	108	21	.	.	PUNCT
ejpam-1822	109	1	example	example	NOUN
ejpam-1822	110	1	1	1	NUM
ejpam-1822	110	2	.	.	PUNCT
ejpam-1822	110	3	let	let	VERB
ejpam-1822	110	4	x	x	NOUN
ejpam-1822	110	5	=	=	PUNCT
ejpam-1822	110	6	r2	r2	PROPN
ejpam-1822	110	7	and	and	CCONJ
ejpam-1822	110	8	the	the	DET
ejpam-1822	110	9	sequence	sequence	NOUN
ejpam-1822	110	10	�	�	PROPN
ejpam-1822	110	11	ak	ak	PROPN
ejpam-1822	110	12	�	�	PROPN
ejpam-1822	110	13	is	be	AUX
ejpam-1822	110	14	defined	define	VERB
ejpam-1822	110	15	as	as	SCONJ
ejpam-1822	110	16	follows	follow	VERB
ejpam-1822	110	17	:	:	PUNCT
ejpam-1822	110	18	ak	ak	PROPN
ejpam-1822	110	19	=	=	SYM
ejpam-1822	110	20	(	(	PUNCT
ejpam-1822	110	21	¦	¦	PROPN
ejpam-1822	110	22	�	�	PROPN
ejpam-1822	110	23	x	x	SYM
ejpam-1822	110	24	,	,	PUNCT
ejpam-1822	110	25	y	y	PROPN
ejpam-1822	110	26	�	�	PROPN
ejpam-1822	110	27	:	:	PUNCT
ejpam-1822	110	28	x2	x2	PROPN
ejpam-1822	110	29	+	+	PROPN
ejpam-1822	110	30	�	�	PROPN
ejpam-1822	110	31	y	y	PROPN
ejpam-1822	110	32	−	−	PROPN
ejpam-1822	110	33	1	1	NUM
ejpam-1822	110	34	�	�	PROPN
ejpam-1822	110	35	2	2	NUM
ejpam-1822	110	36	=	=	SYM
ejpam-1822	110	37	k−1	k−1	PROPN
ejpam-1822	110	38	©	©	PROPN
ejpam-1822	110	39	,	,	PUNCT
ejpam-1822	110	40	if	if	SCONJ
ejpam-1822	110	41	n−	n−	PROPN
ejpam-1822	110	42	�	�	PROPN
ejpam-1822	110	43	�	�	PROPN
ejpam-1822	110	44	�	�	PROPN
ejpam-1822	110	45	λn	λn	PROPN
ejpam-1822	110	46	�	�	PROPN
ejpam-1822	110	47	�	�	PROPN
ejpam-1822	110	48	�	�	PROPN
ejpam-1822	110	49	+	+	CCONJ
ejpam-1822	110	50	1≤	1≤	X
ejpam-1822	110	51	k	k	PROPN
ejpam-1822	110	52	≤	≤	PROPN
ejpam-1822	110	53	n	n	CCONJ
ejpam-1822	110	54	,	,	PUNCT
ejpam-1822	110	55	k	k	PROPN
ejpam-1822	110	56	is	be	AUX
ejpam-1822	110	57	square	square	ADJ
ejpam-1822	110	58	integer	integer	NOUN
ejpam-1822	110	59	{	{	PUNCT
ejpam-1822	110	60	(	(	PUNCT
ejpam-1822	110	61	0,0	0,0	NOUN
ejpam-1822	110	62	)	)	PUNCT
ejpam-1822	110	63	}	}	PUNCT
ejpam-1822	110	64	,	,	PUNCT
ejpam-1822	110	65	otherwise	otherwise	ADV
ejpam-1822	110	66	.	.	PUNCT
ejpam-1822	111	1	then	then	ADV
ejpam-1822	111	2	the	the	DET
ejpam-1822	111	3	sequence	sequence	NOUN
ejpam-1822	111	4	�	�	PROPN
ejpam-1822	111	5	ak	ak	PROPN
ejpam-1822	111	6	�	�	PROPN
ejpam-1822	111	7	is	be	AUX
ejpam-1822	111	8	wijsman	wijsman	ADJ
ejpam-1822	111	9	λ−statistical	λ−statistical	ADJ
ejpam-1822	111	10	convergent	convergent	NOUN
ejpam-1822	111	11	to	to	PART
ejpam-1822	111	12	a=	a=	VERB
ejpam-1822	111	13	{	{	PUNCT
ejpam-1822	111	14	(	(	PUNCT
ejpam-1822	111	15	0,0	0,0	NOUN
ejpam-1822	111	16	)	)	PUNCT
ejpam-1822	111	17	}	}	PUNCT
ejpam-1822	111	18	since	since	SCONJ
ejpam-1822	111	19	lim	lim	PROPN
ejpam-1822	111	20	n	n	PROPN
ejpam-1822	111	21	1	1	NUM
ejpam-1822	111	22	λn	λn	PROPN
ejpam-1822	111	23	�	�	PROPN
ejpam-1822	111	24	�	�	PROPN
ejpam-1822	111	25	�	�	PROPN
ejpam-1822	111	26	¦	¦	PROPN
ejpam-1822	111	27	k	k	PROPN
ejpam-1822	111	28	∈	∈	PROPN
ejpam-1822	111	29	in	in	ADP
ejpam-1822	111	30	:	:	PUNCT
ejpam-1822	111	31	�	�	PROPN
ejpam-1822	111	32	�	�	PROPN
ejpam-1822	111	33	d(x	d(x	PROPN
ejpam-1822	111	34	,	,	PUNCT
ejpam-1822	111	35	ak)−	ak)−	ADJ
ejpam-1822	111	36	d(x	d(x	NOUN
ejpam-1822	111	37	,	,	PUNCT
ejpam-1822	111	38	{	{	PUNCT
ejpam-1822	111	39	(	(	PUNCT
ejpam-1822	111	40	0,0	0,0	NOUN
ejpam-1822	111	41	)	)	PUNCT
ejpam-1822	111	42	}	}	PUNCT
ejpam-1822	111	43	)	)	PUNCT
ejpam-1822	111	44	�	�	PROPN
ejpam-1822	111	45	�	�	PROPN
ejpam-1822	111	46	≥	≥	PROPN
ejpam-1822	111	47	ε	ε	PROPN
ejpam-1822	111	48	©	©	PROPN
ejpam-1822	111	49	�	�	PROPN
ejpam-1822	111	50	�	�	PROPN
ejpam-1822	111	51	�	�	PROPN
ejpam-1822	111	52	=	=	PROPN
ejpam-1822	111	53	0	0	PROPN
ejpam-1822	111	54	.	.	PUNCT
ejpam-1822	112	1	but	but	CCONJ
ejpam-1822	112	2	it	it	PRON
ejpam-1822	112	3	is	be	AUX
ejpam-1822	112	4	not	not	PART
ejpam-1822	112	5	wijsman	wijsman	ADJ
ejpam-1822	112	6	convergent	convergent	NOUN
ejpam-1822	112	7	.	.	PUNCT
ejpam-1822	113	1	b.	b.	PROPN
ejpam-1822	113	2	hazarika	hazarika	PROPN
ejpam-1822	113	3	,	,	PUNCT
ejpam-1822	113	4	a.	a.	PROPN
ejpam-1822	113	5	esi	esi	PROPN
ejpam-1822	113	6	/	/	SYM
ejpam-1822	113	7	eur	eur	PROPN
ejpam-1822	113	8	.	.	PUNCT
ejpam-1822	114	1	j.	j.	PROPN
ejpam-1822	114	2	pure	pure	PROPN
ejpam-1822	114	3	appl	appl	PROPN
ejpam-1822	114	4	.	.	PROPN
ejpam-1822	114	5	math	math	PROPN
ejpam-1822	114	6	,	,	PUNCT
ejpam-1822	114	7	6	6	NUM
ejpam-1822	114	8	(	(	PUNCT
ejpam-1822	114	9	2013	2013	NUM
ejpam-1822	114	10	)	)	PUNCT
ejpam-1822	114	11	,	,	PUNCT
ejpam-1822	114	12	137	137	NUM
ejpam-1822	114	13	-	-	SYM
ejpam-1822	114	14	146	146	NUM
ejpam-1822	114	15	142	142	NUM
ejpam-1822	114	16	theorem	theorem	NOUN
ejpam-1822	114	17	1	1	NUM
ejpam-1822	114	18	.	.	PUNCT
ejpam-1822	115	1	let	let	AUX
ejpam-1822	115	2	(	(	PUNCT
ejpam-1822	115	3	x	x	X
ejpam-1822	115	4	,	,	PUNCT
ejpam-1822	115	5	ρ	ρ	PROPN
ejpam-1822	115	6	)	)	PUNCT
ejpam-1822	115	7	be	be	VERB
ejpam-1822	115	8	a	a	DET
ejpam-1822	115	9	metric	metric	ADJ
ejpam-1822	115	10	space	space	NOUN
ejpam-1822	115	11	and	and	CCONJ
ejpam-1822	115	12	a	a	PRON
ejpam-1822	115	13	,	,	PUNCT
ejpam-1822	115	14	ak	ak	PROPN
ejpam-1822	115	15	⊂	⊂	PROPN
ejpam-1822	115	16	x	x	X
ejpam-1822	115	17	(	(	PUNCT
ejpam-1822	115	18	k	k	PROPN
ejpam-1822	115	19	∈	∈	PROPN
ejpam-1822	115	20	n	n	CCONJ
ejpam-1822	115	21	)	)	PUNCT
ejpam-1822	115	22	be	be	AUX
ejpam-1822	115	23	non	non	ADJ
ejpam-1822	115	24	-	-	ADJ
ejpam-1822	115	25	empty	empty	ADJ
ejpam-1822	115	26	closed	closed	ADJ
ejpam-1822	115	27	subsets	subset	NOUN
ejpam-1822	115	28	of	of	ADP
ejpam-1822	115	29	x	x	X
ejpam-1822	115	30	.	.	PUNCT
ejpam-1822	116	1	then	then	ADV
ejpam-1822	116	2	a	a	X
ejpam-1822	116	3	)	)	PUNCT
ejpam-1822	116	4	ww	ww	PROPN
ejpam-1822	116	5	λ	λ	PROPN
ejpam-1822	116	6	⊂	⊂	PROPN
ejpam-1822	116	7	sw	sw	PROPN
ejpam-1822	116	8	λ	λ	PROPN
ejpam-1822	116	9	and	and	CCONJ
ejpam-1822	116	10	the	the	DET
ejpam-1822	116	11	inclusion	inclusion	NOUN
ejpam-1822	116	12	is	be	AUX
ejpam-1822	116	13	proper	proper	ADJ
ejpam-1822	116	14	.	.	PUNCT
ejpam-1822	117	1	b	b	X
ejpam-1822	117	2	)	)	PUNCT
ejpam-1822	117	3	let	let	VERB
ejpam-1822	117	4	�	�	PROPN
ejpam-1822	117	5	ak	ak	PROPN
ejpam-1822	117	6	�	�	PROPN
ejpam-1822	117	7	∈	∈	PROPN
ejpam-1822	117	8	l∞	l∞	NOUN
ejpam-1822	117	9	,	,	PUNCT
ejpam-1822	117	10	then	then	ADV
ejpam-1822	118	1	sw	sw	PROPN
ejpam-1822	118	2	λ	λ	PROPN
ejpam-1822	118	3	⊂	⊂	PROPN
ejpam-1822	118	4	ww	ww	PROPN
ejpam-1822	118	5	λ	λ	PROPN
ejpam-1822	118	6	.	.	PUNCT
ejpam-1822	119	1	c	c	X
ejpam-1822	119	2	)	)	PUNCT
ejpam-1822	119	3	sw	sw	PROPN
ejpam-1822	119	4	λ	λ	PROPN
ejpam-1822	119	5	∩	∩	NOUN
ejpam-1822	119	6	l∞	l∞	NOUN
ejpam-1822	119	7	=	=	SYM
ejpam-1822	119	8	ww	ww	PROPN
ejpam-1822	119	9	λ	λ	PROPN
ejpam-1822	119	10	∩	∩	ADJ
ejpam-1822	119	11	l∞	l∞	NOUN
ejpam-1822	119	12	,	,	PUNCT
ejpam-1822	119	13	where	where	SCONJ
ejpam-1822	119	14	l∞	l∞	NOUN
ejpam-1822	119	15	=	=	SYM
ejpam-1822	119	16	{	{	PUNCT
ejpam-1822	119	17	(	(	PUNCT
ejpam-1822	119	18	ak	ak	PROPN
ejpam-1822	119	19	)	)	PUNCT
ejpam-1822	119	20	:	:	PUNCT
ejpam-1822	119	21	sup	sup	PROPN
ejpam-1822	119	22	k	k	X
ejpam-1822	119	23	,	,	PUNCT
ejpam-1822	119	24	m	m	VERB
ejpam-1822	119	25	|d(x	|d(x	NOUN
ejpam-1822	119	26	,	,	PUNCT
ejpam-1822	119	27	ak+m)−	ak+m)−	ADJ
ejpam-1822	119	28	d(x	d(x	NOUN
ejpam-1822	119	29	,	,	PUNCT
ejpam-1822	119	30	a)|<∞	a)|<∞	PROPN
ejpam-1822	119	31	}	}	PUNCT
ejpam-1822	119	32	.	.	PUNCT
ejpam-1822	120	1	proof	proof	NOUN
ejpam-1822	120	2	.	.	PUNCT
ejpam-1822	121	1	a	a	PRON
ejpam-1822	121	2	)	)	PUNCT
ejpam-1822	121	3	let	let	VERB
ejpam-1822	121	4	ε	ε	PROPN
ejpam-1822	121	5	>	>	X
ejpam-1822	121	6	0	0	PUNCT
ejpam-1822	122	1	and	and	CCONJ
ejpam-1822	122	2	�	�	PROPN
ejpam-1822	122	3	ak	ak	PROPN
ejpam-1822	122	4	�	�	PROPN
ejpam-1822	122	5	∈	∈	PROPN
ejpam-1822	122	6	ww	ww	PROPN
ejpam-1822	122	7	λ	λ	PROPN
ejpam-1822	122	8	.	.	PUNCT
ejpam-1822	123	1	then	then	ADV
ejpam-1822	123	2	for	for	ADP
ejpam-1822	123	3	all	all	DET
ejpam-1822	123	4	m	m	NOUN
ejpam-1822	123	5	∈	∈	NOUN
ejpam-1822	123	6	n	n	CCONJ
ejpam-1822	123	7	we	we	PRON
ejpam-1822	123	8	can	can	AUX
ejpam-1822	123	9	write	write	VERB
ejpam-1822	123	10	∑	∑	ADV
ejpam-1822	123	11	k∈in	k∈in	PROPN
ejpam-1822	123	12	�	�	PROPN
ejpam-1822	123	13	�	�	PROPN
ejpam-1822	123	14	d(x	d(x	PROPN
ejpam-1822	123	15	,	,	PUNCT
ejpam-1822	123	16	ak+m)−	ak+m)−	ADJ
ejpam-1822	123	17	d(x	d(x	NOUN
ejpam-1822	123	18	,	,	PUNCT
ejpam-1822	123	19	a	a	PRON
ejpam-1822	123	20	)	)	PUNCT
ejpam-1822	123	21	�	�	PROPN
ejpam-1822	123	22	�	�	PROPN
ejpam-1822	123	23	≥	≥	PROPN
ejpam-1822	123	24	∑	∑	ADV
ejpam-1822	123	25	k∈in	k∈in	PROPN
ejpam-1822	123	26	|d(x	|d(x	PROPN
ejpam-1822	123	27	,	,	PUNCT
ejpam-1822	124	1	ak+m)−d(x	ak+m)−d(x	ADV
ejpam-1822	124	2	,	,	PUNCT
ejpam-1822	124	3	a)|≥ε	a)|≥ε	PROPN
ejpam-1822	124	4	�	�	PROPN
ejpam-1822	124	5	�	�	PROPN
ejpam-1822	124	6	d(x	d(x	PROPN
ejpam-1822	124	7	,	,	PUNCT
ejpam-1822	124	8	ak+m)−	ak+m)−	ADJ
ejpam-1822	124	9	d(x	d(x	NOUN
ejpam-1822	124	10	,	,	PUNCT
ejpam-1822	124	11	a	a	PRON
ejpam-1822	124	12	)	)	PUNCT
ejpam-1822	124	13	�	�	PROPN
ejpam-1822	124	14	�	�	PROPN
ejpam-1822	124	15	≥ε	≥ε	X
ejpam-1822	124	16	�	�	PROPN
ejpam-1822	124	17	�	�	PROPN
ejpam-1822	124	18	�	�	PROPN
ejpam-1822	124	19	¦	¦	PROPN
ejpam-1822	124	20	k	k	PROPN
ejpam-1822	124	21	∈	∈	PROPN
ejpam-1822	124	22	in	in	ADP
ejpam-1822	124	23	:	:	PUNCT
ejpam-1822	124	24	�	�	PROPN
ejpam-1822	124	25	�	�	PROPN
ejpam-1822	124	26	d(x	d(x	PROPN
ejpam-1822	124	27	,	,	PUNCT
ejpam-1822	124	28	ak+m)−	ak+m)−	ADJ
ejpam-1822	124	29	d(x	d(x	NOUN
ejpam-1822	124	30	,	,	PUNCT
ejpam-1822	124	31	a	a	PRON
ejpam-1822	124	32	)	)	PUNCT
ejpam-1822	124	33	�	�	PROPN
ejpam-1822	124	34	�	�	PROPN
ejpam-1822	124	35	≥	≥	PROPN
ejpam-1822	124	36	ε	ε	PROPN
ejpam-1822	124	37	©	©	PROPN
ejpam-1822	124	38	�	�	PROPN
ejpam-1822	124	39	�	�	PROPN
ejpam-1822	124	40	�	�	PROPN
ejpam-1822	124	41	which	which	PRON
ejpam-1822	124	42	gives	give	VERB
ejpam-1822	124	43	the	the	DET
ejpam-1822	124	44	result	result	NOUN
ejpam-1822	124	45	.	.	PUNCT
ejpam-1822	125	1	to	to	PART
ejpam-1822	125	2	show	show	VERB
ejpam-1822	125	3	that	that	SCONJ
ejpam-1822	125	4	the	the	DET
ejpam-1822	125	5	inclusion	inclusion	NOUN
ejpam-1822	125	6	is	be	AUX
ejpam-1822	125	7	strict	strict	ADJ
ejpam-1822	125	8	,	,	PUNCT
ejpam-1822	125	9	we	we	PRON
ejpam-1822	125	10	define	define	VERB
ejpam-1822	125	11	the	the	DET
ejpam-1822	125	12	sequence	sequence	NOUN
ejpam-1822	125	13	�	�	PROPN
ejpam-1822	125	14	ak	ak	PROPN
ejpam-1822	125	15	�	�	PROPN
ejpam-1822	125	16	as	as	SCONJ
ejpam-1822	125	17	follows	follow	VERB
ejpam-1822	125	18	:	:	PUNCT
ejpam-1822	125	19	ak	ak	PROPN
ejpam-1822	125	20	=	=	PRON
ejpam-1822	125	21	(	(	PUNCT
ejpam-1822	125	22	{	{	PUNCT
ejpam-1822	125	23	k	k	NOUN
ejpam-1822	125	24	}	}	PUNCT
ejpam-1822	125	25	,	,	PUNCT
ejpam-1822	125	26	if	if	SCONJ
ejpam-1822	125	27	n−	n−	PROPN
ejpam-1822	125	28	�	�	PROPN
ejpam-1822	125	29	�	�	PROPN
ejpam-1822	125	30	�	�	PROPN
ejpam-1822	125	31	λn	λn	PROPN
ejpam-1822	125	32	�	�	PROPN
ejpam-1822	125	33	�	�	PROPN
ejpam-1822	125	34	�	�	PROPN
ejpam-1822	125	35	+	+	CCONJ
ejpam-1822	125	36	1≤	1≤	X
ejpam-1822	125	37	k	k	PROPN
ejpam-1822	125	38	≤	≤	PROPN
ejpam-1822	125	39	n	n	CCONJ
ejpam-1822	125	40	;	;	PUNCT
ejpam-1822	125	41	{	{	PUNCT
ejpam-1822	125	42	0	0	NUM
ejpam-1822	125	43	}	}	PUNCT
ejpam-1822	125	44	,	,	PUNCT
ejpam-1822	125	45	otherwise	otherwise	ADV
ejpam-1822	125	46	it	it	PRON
ejpam-1822	125	47	is	be	AUX
ejpam-1822	125	48	clear	clear	ADJ
ejpam-1822	125	49	that	that	SCONJ
ejpam-1822	125	50	�	�	PROPN
ejpam-1822	125	51	ak	ak	PROPN
ejpam-1822	125	52	�	�	PROPN
ejpam-1822	125	53	/∈	/∈	PUNCT
ejpam-1822	125	54	l∞	l∞	NOUN
ejpam-1822	125	55	and	and	CCONJ
ejpam-1822	125	56	for	for	ADP
ejpam-1822	125	57	ε	ε	PROPN
ejpam-1822	125	58	>	>	X
ejpam-1822	125	59	0	0	PROPN
ejpam-1822	125	60	,	,	PUNCT
ejpam-1822	125	61	lim	lim	PROPN
ejpam-1822	125	62	n	n	PROPN
ejpam-1822	125	63	1	1	NUM
ejpam-1822	125	64	λn	λn	PROPN
ejpam-1822	125	65	�	�	PROPN
ejpam-1822	125	66	�	�	PROPN
ejpam-1822	125	67	�	�	PROPN
ejpam-1822	125	68	¦	¦	PROPN
ejpam-1822	125	69	k	k	PROPN
ejpam-1822	125	70	∈	∈	PROPN
ejpam-1822	125	71	in	in	ADP
ejpam-1822	125	72	:	:	PUNCT
ejpam-1822	125	73	�	�	PROPN
ejpam-1822	125	74	�	�	PROPN
ejpam-1822	125	75	d(x	d(x	PROPN
ejpam-1822	125	76	,	,	PUNCT
ejpam-1822	125	77	ak+m)−	ak+m)−	ADJ
ejpam-1822	125	78	d(x	d(x	NOUN
ejpam-1822	125	79	,	,	PUNCT
ejpam-1822	125	80	{	{	PUNCT
ejpam-1822	125	81	0	0	NUM
ejpam-1822	125	82	}	}	PUNCT
ejpam-1822	125	83	)	)	PUNCT
ejpam-1822	125	84	�	�	PROPN
ejpam-1822	125	85	�	�	PROPN
ejpam-1822	125	86	≥	≥	PROPN
ejpam-1822	125	87	ε	ε	PROPN
ejpam-1822	125	88	©	©	PROPN
ejpam-1822	125	89	�	�	PROPN
ejpam-1822	125	90	�	�	PROPN
ejpam-1822	125	91	�	�	PROPN
ejpam-1822	125	92	=	=	PROPN
ejpam-1822	125	93	lim	lim	PROPN
ejpam-1822	125	94	n	n	PROPN
ejpam-1822	125	95	1	1	NUM
ejpam-1822	125	96	λn	λn	PROPN
ejpam-1822	125	97	�	�	PROPN
ejpam-1822	125	98	�	�	PROPN
ejpam-1822	125	99	�	�	PROPN
ejpam-1822	125	100	λn	λn	PROPN
ejpam-1822	125	101	�	�	PROPN
ejpam-1822	125	102	�	�	PROPN
ejpam-1822	125	103	�	�	PROPN
ejpam-1822	125	104	=	=	SYM
ejpam-1822	125	105	0	0	PROPN
ejpam-1822	125	106	.	.	PUNCT
ejpam-1822	126	1	so	so	ADV
ejpam-1822	126	2	�	�	PROPN
ejpam-1822	126	3	ak	ak	PROPN
ejpam-1822	126	4	�	�	PROPN
ejpam-1822	126	5	∈	∈	PROPN
ejpam-1822	126	6	sw	sw	PROPN
ejpam-1822	126	7	λ	λ	PROPN
ejpam-1822	126	8	,	,	PUNCT
ejpam-1822	126	9	but	but	CCONJ
ejpam-1822	126	10	lim	lim	PROPN
ejpam-1822	126	11	n	n	PROPN
ejpam-1822	126	12	1	1	NUM
ejpam-1822	126	13	λn	λn	NOUN
ejpam-1822	126	14	∑	∑	ADV
ejpam-1822	126	15	k∈in	k∈in	PROPN
ejpam-1822	126	16	�	�	PROPN
ejpam-1822	126	17	�	�	PROPN
ejpam-1822	126	18	d(x	d(x	PROPN
ejpam-1822	126	19	,	,	PUNCT
ejpam-1822	126	20	ak+m)−	ak+m)−	ADJ
ejpam-1822	126	21	d(x	d(x	NOUN
ejpam-1822	126	22	,	,	PUNCT
ejpam-1822	126	23	{	{	PUNCT
ejpam-1822	126	24	0	0	NUM
ejpam-1822	126	25	}	}	PUNCT
ejpam-1822	126	26	)	)	PUNCT
ejpam-1822	126	27	�	�	PROPN
ejpam-1822	126	28	�	�	PROPN
ejpam-1822	126	29	=	=	PROPN
ejpam-1822	126	30	lim	lim	PROPN
ejpam-1822	126	31	n	n	PROPN
ejpam-1822	126	32	1	1	NUM
ejpam-1822	126	33	λn	λn	PROPN
ejpam-1822	126	34	�	�	PROPN
ejpam-1822	126	35	�	�	PROPN
ejpam-1822	126	36	�	�	PROPN
ejpam-1822	126	37	�	�	PROPN
ejpam-1822	126	38	λn	λn	PROPN
ejpam-1822	126	39	�	�	PROPN
ejpam-1822	126	40	�	�	PROPN
ejpam-1822	126	41	�	�	PROPN
ejpam-1822	126	42	�	�	PROPN
ejpam-1822	126	43	�	�	PROPN
ejpam-1822	126	44	�	�	PROPN
ejpam-1822	126	45	�	�	PROPN
ejpam-1822	126	46	λn	λn	PROPN
ejpam-1822	126	47	�	�	PROPN
ejpam-1822	126	48	�	�	PROPN
ejpam-1822	126	49	�	�	PROPN
ejpam-1822	126	50	+	+	CCONJ
ejpam-1822	126	51	1	1	NUM
ejpam-1822	126	52	�	�	NOUN
ejpam-1822	126	53	�	�	PROPN
ejpam-1822	126	54	2	2	NUM
ejpam-1822	126	55	=	=	SYM
ejpam-1822	126	56	1	1	NUM
ejpam-1822	126	57	2	2	NUM
ejpam-1822	126	58	6=	6=	ADP
ejpam-1822	126	59	0	0	NUM
ejpam-1822	126	60	.	.	PUNCT
ejpam-1822	127	1	therefore	therefore	ADV
ejpam-1822	127	2	�	�	PROPN
ejpam-1822	127	3	ak	ak	PROPN
ejpam-1822	127	4	�	�	PROPN
ejpam-1822	127	5	/∈	/∈	PUNCT
ejpam-1822	127	6	ww	ww	PROPN
ejpam-1822	127	7	λ	λ	PROPN
ejpam-1822	127	8	.	.	PUNCT
ejpam-1822	128	1	this	this	PRON
ejpam-1822	128	2	completes	complete	VERB
ejpam-1822	128	3	the	the	DET
ejpam-1822	128	4	proof	proof	NOUN
ejpam-1822	128	5	of	of	ADP
ejpam-1822	128	6	(	(	PUNCT
ejpam-1822	128	7	a	a	NOUN
ejpam-1822	128	8	)	)	PUNCT
ejpam-1822	128	9	.	.	PUNCT
ejpam-1822	129	1	b	b	X
ejpam-1822	129	2	)	)	PUNCT
ejpam-1822	129	3	suppose	suppose	VERB
ejpam-1822	129	4	that	that	SCONJ
ejpam-1822	129	5	�	�	PROPN
ejpam-1822	129	6	ak	ak	PROPN
ejpam-1822	129	7	�	�	PROPN
ejpam-1822	129	8	∈	∈	PROPN
ejpam-1822	129	9	sw	sw	PROPN
ejpam-1822	129	10	λ	λ	PROPN
ejpam-1822	129	11	and	and	CCONJ
ejpam-1822	129	12	�	�	PROPN
ejpam-1822	129	13	ak	ak	PROPN
ejpam-1822	129	14	�	�	PROPN
ejpam-1822	129	15	∈	∈	PROPN
ejpam-1822	129	16	l∞	l∞	PROPN
ejpam-1822	129	17	,	,	PUNCT
ejpam-1822	129	18	say	say	VERB
ejpam-1822	129	19	�	�	PROPN
ejpam-1822	129	20	�	�	PROPN
ejpam-1822	129	21	d(x	d(x	PROPN
ejpam-1822	129	22	,	,	PUNCT
ejpam-1822	129	23	ak+m)−	ak+m)−	ADJ
ejpam-1822	129	24	d(x	d(x	NOUN
ejpam-1822	129	25	,	,	PUNCT
ejpam-1822	129	26	a	a	PRON
ejpam-1822	129	27	)	)	PUNCT
ejpam-1822	129	28	�	�	PROPN
ejpam-1822	129	29	�	�	PROPN
ejpam-1822	129	30	≤	≤	NUM
ejpam-1822	129	31	m	m	VERB
ejpam-1822	129	32	for	for	ADP
ejpam-1822	129	33	each	each	DET
ejpam-1822	129	34	x	x	SYM
ejpam-1822	129	35	∈	∈	PROPN
ejpam-1822	129	36	x	x	X
ejpam-1822	129	37	and	and	CCONJ
ejpam-1822	129	38	for	for	ADP
ejpam-1822	129	39	all	all	DET
ejpam-1822	129	40	k	k	PROPN
ejpam-1822	129	41	,	,	PUNCT
ejpam-1822	129	42	m	m	PROPN
ejpam-1822	129	43	∈	∈	PROPN
ejpam-1822	129	44	n.	n.	NOUN
ejpam-1822	129	45	given	give	VERB
ejpam-1822	129	46	ε	ε	PROPN
ejpam-1822	129	47	>	>	X
ejpam-1822	129	48	0	0	PROPN
ejpam-1822	129	49	,	,	PUNCT
ejpam-1822	129	50	we	we	PRON
ejpam-1822	129	51	get	get	VERB
ejpam-1822	129	52	1	1	NUM
ejpam-1822	129	53	λn	λn	NOUN
ejpam-1822	129	54	∑	∑	ADV
ejpam-1822	129	55	k∈in	k∈in	PROPN
ejpam-1822	129	56	�	�	PROPN
ejpam-1822	129	57	�	�	PROPN
ejpam-1822	129	58	d(x	d(x	PROPN
ejpam-1822	129	59	,	,	PUNCT
ejpam-1822	129	60	ak+m)−	ak+m)−	ADJ
ejpam-1822	129	61	d(x	d(x	NOUN
ejpam-1822	129	62	,	,	PUNCT
ejpam-1822	129	63	a	a	DET
ejpam-1822	129	64	)	)	PUNCT
ejpam-1822	129	65	�	�	PROPN
ejpam-1822	129	66	�	�	PROPN
ejpam-1822	129	67	=	=	SYM
ejpam-1822	129	68	1	1	NUM
ejpam-1822	129	69	λn	λn	NOUN
ejpam-1822	129	70	∑	∑	PUNCT
ejpam-1822	129	71	k∈in	k∈in	PROPN
ejpam-1822	129	72	|d(x	|d(x	PROPN
ejpam-1822	129	73	,	,	PUNCT
ejpam-1822	129	74	ak+m)−d(x	ak+m)−d(x	ADV
ejpam-1822	129	75	,	,	PUNCT
ejpam-1822	129	76	a)|≥ε	a)|≥ε	PROPN
ejpam-1822	129	77	�	�	PROPN
ejpam-1822	129	78	�	�	PROPN
ejpam-1822	129	79	d(x	d(x	PROPN
ejpam-1822	129	80	,	,	PUNCT
ejpam-1822	129	81	ak+m)−	ak+m)−	ADJ
ejpam-1822	129	82	d(x	d(x	NOUN
ejpam-1822	129	83	,	,	PUNCT
ejpam-1822	129	84	a	a	DET
ejpam-1822	129	85	)	)	PUNCT
ejpam-1822	129	86	�	�	PROPN
ejpam-1822	129	87	�	�	PROPN
ejpam-1822	129	88	b.	b.	PROPN
ejpam-1822	129	89	hazarika	hazarika	NOUN
ejpam-1822	129	90	,	,	PUNCT
ejpam-1822	129	91	a.	a.	PROPN
ejpam-1822	129	92	esi	esi	PROPN
ejpam-1822	129	93	/	/	SYM
ejpam-1822	129	94	eur	eur	PROPN
ejpam-1822	129	95	.	.	PUNCT
ejpam-1822	130	1	j.	j.	PROPN
ejpam-1822	130	2	pure	pure	PROPN
ejpam-1822	130	3	appl	appl	PROPN
ejpam-1822	130	4	.	.	PROPN
ejpam-1822	130	5	math	math	PROPN
ejpam-1822	130	6	,	,	PUNCT
ejpam-1822	130	7	6	6	NUM
ejpam-1822	130	8	(	(	PUNCT
ejpam-1822	130	9	2013	2013	NUM
ejpam-1822	130	10	)	)	PUNCT
ejpam-1822	130	11	,	,	PUNCT
ejpam-1822	130	12	137	137	NUM
ejpam-1822	130	13	-	-	SYM
ejpam-1822	130	14	146	146	NUM
ejpam-1822	130	15	143	143	NUM
ejpam-1822	130	16	+	+	NOUN
ejpam-1822	130	17	1	1	NUM
ejpam-1822	130	18	λn	λn	NOUN
ejpam-1822	130	19	∑	∑	ADV
ejpam-1822	130	20	k∈in	k∈in	PROPN
ejpam-1822	130	21	|d(x	|d(x	PROPN
ejpam-1822	130	22	,	,	PUNCT
ejpam-1822	130	23	ak+m)−d(x	ak+m)−d(x	ADV
ejpam-1822	130	24	,	,	PUNCT
ejpam-1822	130	25	a)|<ε	a)|<ε	PROPN
ejpam-1822	130	26	�	�	PROPN
ejpam-1822	130	27	�	�	PROPN
ejpam-1822	130	28	d(x	d(x	PROPN
ejpam-1822	130	29	,	,	PUNCT
ejpam-1822	130	30	ak+m)−	ak+m)−	ADJ
ejpam-1822	130	31	d(x	d(x	NOUN
ejpam-1822	130	32	,	,	PUNCT
ejpam-1822	130	33	a	a	PRON
ejpam-1822	130	34	)	)	PUNCT
ejpam-1822	130	35	�	�	PROPN
ejpam-1822	130	36	�	�	PROPN
ejpam-1822	130	37	≤	≤	PROPN
ejpam-1822	130	38	m	m	VERB
ejpam-1822	130	39	λn	λn	PROPN
ejpam-1822	130	40	�	�	PROPN
ejpam-1822	130	41	�	�	PROPN
ejpam-1822	130	42	�	�	PROPN
ejpam-1822	130	43	¦	¦	PROPN
ejpam-1822	130	44	k	k	PROPN
ejpam-1822	130	45	∈	∈	PROPN
ejpam-1822	130	46	in	in	ADP
ejpam-1822	130	47	:	:	PUNCT
ejpam-1822	130	48	�	�	PROPN
ejpam-1822	130	49	�	�	PROPN
ejpam-1822	130	50	d(x	d(x	PROPN
ejpam-1822	130	51	,	,	PUNCT
ejpam-1822	130	52	ak+m)−	ak+m)−	ADJ
ejpam-1822	130	53	d(x	d(x	NOUN
ejpam-1822	130	54	,	,	PUNCT
ejpam-1822	130	55	a	a	PRON
ejpam-1822	130	56	)	)	PUNCT
ejpam-1822	130	57	�	�	PROPN
ejpam-1822	130	58	�	�	PROPN
ejpam-1822	130	59	≥	≥	PROPN
ejpam-1822	130	60	ε	ε	PROPN
ejpam-1822	130	61	©	©	PROPN
ejpam-1822	130	62	�	�	PROPN
ejpam-1822	130	63	�	�	PROPN
ejpam-1822	130	64	�	�	PROPN
ejpam-1822	130	65	+	+	NUM
ejpam-1822	130	66	ε	ε	PROPN
ejpam-1822	130	67	from	from	ADP
ejpam-1822	130	68	which	which	PRON
ejpam-1822	130	69	the	the	DET
ejpam-1822	130	70	result	result	NOUN
ejpam-1822	130	71	follows	follow	VERB
ejpam-1822	130	72	.	.	PUNCT
ejpam-1822	131	1	c	c	X
ejpam-1822	131	2	)	)	PUNCT
ejpam-1822	131	3	it	it	PRON
ejpam-1822	131	4	follows	follow	VERB
ejpam-1822	131	5	from	from	ADP
ejpam-1822	131	6	(	(	PUNCT
ejpam-1822	131	7	a	a	NOUN
ejpam-1822	131	8	)	)	PUNCT
ejpam-1822	131	9	and	and	CCONJ
ejpam-1822	131	10	(	(	PUNCT
ejpam-1822	131	11	b	b	NOUN
ejpam-1822	131	12	)	)	PUNCT
ejpam-1822	131	13	.	.	PUNCT
ejpam-1822	132	1	if	if	SCONJ
ejpam-1822	132	2	we	we	PRON
ejpam-1822	132	3	let	let	VERB
ejpam-1822	132	4	λn	λn	VERB
ejpam-1822	132	5	=	=	PUNCT
ejpam-1822	132	6	n	n	PROPN
ejpam-1822	132	7	in	in	ADP
ejpam-1822	132	8	theorem	theorem	NOUN
ejpam-1822	132	9	1	1	NUM
ejpam-1822	132	10	,	,	PUNCT
ejpam-1822	132	11	then	then	ADV
ejpam-1822	132	12	we	we	PRON
ejpam-1822	132	13	have	have	VERB
ejpam-1822	132	14	the	the	DET
ejpam-1822	132	15	following	follow	VERB
ejpam-1822	132	16	corollary	corollary	NOUN
ejpam-1822	132	17	.	.	PUNCT
ejpam-1822	133	1	corollary	corollary	ADJ
ejpam-1822	133	2	1	1	NUM
ejpam-1822	133	3	.	.	PUNCT
ejpam-1822	134	1	let	let	AUX
ejpam-1822	134	2	(	(	PUNCT
ejpam-1822	134	3	x	x	X
ejpam-1822	134	4	,	,	PUNCT
ejpam-1822	134	5	ρ	ρ	PROPN
ejpam-1822	134	6	)	)	PUNCT
ejpam-1822	134	7	be	be	VERB
ejpam-1822	134	8	a	a	DET
ejpam-1822	134	9	metric	metric	ADJ
ejpam-1822	134	10	space	space	NOUN
ejpam-1822	134	11	and	and	CCONJ
ejpam-1822	134	12	a	a	PRON
ejpam-1822	134	13	,	,	PUNCT
ejpam-1822	134	14	ak	ak	PROPN
ejpam-1822	134	15	⊂	⊂	PROPN
ejpam-1822	134	16	x	x	X
ejpam-1822	134	17	(	(	PUNCT
ejpam-1822	134	18	k	k	PROPN
ejpam-1822	134	19	∈	∈	PROPN
ejpam-1822	134	20	n	n	CCONJ
ejpam-1822	134	21	)	)	PUNCT
ejpam-1822	134	22	be	be	AUX
ejpam-1822	134	23	non	non	ADJ
ejpam-1822	134	24	-	-	ADJ
ejpam-1822	134	25	empty	empty	ADJ
ejpam-1822	134	26	closed	closed	ADJ
ejpam-1822	134	27	subsets	subset	NOUN
ejpam-1822	134	28	of	of	ADP
ejpam-1822	134	29	x	x	X
ejpam-1822	134	30	.	.	PUNCT
ejpam-1822	135	1	then	then	ADV
ejpam-1822	135	2	a	a	X
ejpam-1822	135	3	)	)	PUNCT
ejpam-1822	135	4	ww	ww	PROPN
ejpam-1822	135	5	⊂	⊂	PROPN
ejpam-1822	135	6	sw	sw	PROPN
ejpam-1822	135	7	and	and	CCONJ
ejpam-1822	135	8	the	the	DET
ejpam-1822	135	9	inclusion	inclusion	NOUN
ejpam-1822	135	10	is	be	AUX
ejpam-1822	135	11	proper	proper	ADJ
ejpam-1822	135	12	.	.	PUNCT
ejpam-1822	136	1	b	b	X
ejpam-1822	136	2	)	)	PUNCT
ejpam-1822	136	3	let	let	VERB
ejpam-1822	136	4	�	�	PROPN
ejpam-1822	136	5	ak	ak	PROPN
ejpam-1822	136	6	�	�	PROPN
ejpam-1822	136	7	∈	∈	PROPN
ejpam-1822	136	8	l∞	l∞	NOUN
ejpam-1822	136	9	,	,	PUNCT
ejpam-1822	136	10	then	then	ADV
ejpam-1822	136	11	sw	sw	PROPN
ejpam-1822	136	12	⊂	⊂	PROPN
ejpam-1822	136	13	ww	ww	PROPN
ejpam-1822	136	14	.	.	PUNCT
ejpam-1822	137	1	c	c	X
ejpam-1822	137	2	)	)	PUNCT
ejpam-1822	137	3	sw	sw	NOUN
ejpam-1822	137	4	∩	∩	PROPN
ejpam-1822	137	5	l∞	l∞	NOUN
ejpam-1822	137	6	=	=	SYM
ejpam-1822	137	7	ww	ww	PROPN
ejpam-1822	137	8	∩	∩	PROPN
ejpam-1822	137	9	l∞.	l∞.	ADP
ejpam-1822	137	10	theorem	theorem	NOUN
ejpam-1822	137	11	2	2	NUM
ejpam-1822	137	12	.	.	PUNCT
ejpam-1822	138	1	sw	sw	PROPN
ejpam-1822	138	2	⊂	⊂	PROPN
ejpam-1822	138	3	sw	sw	PROPN
ejpam-1822	138	4	λ	λ	PROPN
ejpam-1822	138	5	if	if	SCONJ
ejpam-1822	138	6	and	and	CCONJ
ejpam-1822	138	7	only	only	ADV
ejpam-1822	138	8	if	if	SCONJ
ejpam-1822	138	9	lim	lim	PROPN
ejpam-1822	138	10	inf	inf	VERB
ejpam-1822	138	11	λn	λn	PROPN
ejpam-1822	138	12	n	n	PROPN
ejpam-1822	138	13	>	>	X
ejpam-1822	138	14	0	0	X
ejpam-1822	138	15	.	.	PUNCT
ejpam-1822	139	1	proof	proof	NOUN
ejpam-1822	139	2	.	.	PUNCT
ejpam-1822	140	1	suppose	suppose	VERB
ejpam-1822	140	2	that	that	SCONJ
ejpam-1822	140	3	lim	lim	PROPN
ejpam-1822	140	4	inf	inf	PROPN
ejpam-1822	140	5	λn	λn	PROPN
ejpam-1822	140	6	n	n	PROPN
ejpam-1822	140	7	>	>	X
ejpam-1822	140	8	0	0	X
ejpam-1822	140	9	.	.	PUNCT
ejpam-1822	141	1	for	for	ADP
ejpam-1822	141	2	given	give	VERB
ejpam-1822	141	3	ε	ε	PROPN
ejpam-1822	141	4	>	>	X
ejpam-1822	141	5	0	0	PROPN
ejpam-1822	141	6	,	,	PUNCT
ejpam-1822	141	7	for	for	ADP
ejpam-1822	141	8	all	all	DET
ejpam-1822	141	9	m	m	NOUN
ejpam-1822	141	10	∈	∈	NOUN
ejpam-1822	141	11	n	n	CCONJ
ejpam-1822	141	12	,	,	PUNCT
ejpam-1822	141	13	we	we	PRON
ejpam-1822	141	14	have	have	VERB
ejpam-1822	141	15	¦	¦	PROPN
ejpam-1822	141	16	k	k	PROPN
ejpam-1822	141	17	≤	≤	PROPN
ejpam-1822	142	1	n	n	CCONJ
ejpam-1822	142	2	:	:	PUNCT
ejpam-1822	142	3	�	�	PROPN
ejpam-1822	142	4	�	�	PROPN
ejpam-1822	142	5	d(x	d(x	PROPN
ejpam-1822	142	6	,	,	PUNCT
ejpam-1822	142	7	akm)−	akm)−	PROPN
ejpam-1822	142	8	d(x	d(x	PROPN
ejpam-1822	142	9	,	,	PUNCT
ejpam-1822	142	10	a	a	PRON
ejpam-1822	142	11	)	)	PUNCT
ejpam-1822	142	12	�	�	PROPN
ejpam-1822	142	13	�	�	PROPN
ejpam-1822	142	14	≥	≥	PROPN
ejpam-1822	142	15	ε	ε	PROPN
ejpam-1822	142	16	©	©	PROPN
ejpam-1822	142	17	⊃	⊃	PROPN
ejpam-1822	142	18	¦	¦	PROPN
ejpam-1822	142	19	k	k	PROPN
ejpam-1822	142	20	∈	∈	PROPN
ejpam-1822	142	21	in	in	ADP
ejpam-1822	142	22	:	:	PUNCT
ejpam-1822	142	23	�	�	PROPN
ejpam-1822	142	24	�	�	PROPN
ejpam-1822	142	25	d(x	d(x	PROPN
ejpam-1822	142	26	,	,	PUNCT
ejpam-1822	142	27	ak+m)−	ak+m)−	ADJ
ejpam-1822	142	28	d(x	d(x	NOUN
ejpam-1822	142	29	,	,	PUNCT
ejpam-1822	142	30	a	a	PRON
ejpam-1822	142	31	)	)	PUNCT
ejpam-1822	142	32	�	�	PROPN
ejpam-1822	142	33	�	�	PROPN
ejpam-1822	142	34	≥	≥	PROPN
ejpam-1822	142	35	ε	ε	PROPN
ejpam-1822	142	36	©	©	PROPN
ejpam-1822	142	37	.	.	PUNCT
ejpam-1822	143	1	therefore	therefore	ADV
ejpam-1822	143	2	1	1	NUM
ejpam-1822	143	3	n	n	PRON
ejpam-1822	143	4	�	�	PROPN
ejpam-1822	143	5	�	�	PROPN
ejpam-1822	143	6	�	�	PROPN
ejpam-1822	143	7	¦	¦	PROPN
ejpam-1822	143	8	k	k	PROPN
ejpam-1822	143	9	≤	≤	PROPN
ejpam-1822	143	10	n	n	CCONJ
ejpam-1822	143	11	:	:	PUNCT
ejpam-1822	143	12	�	�	PROPN
ejpam-1822	143	13	�	�	PROPN
ejpam-1822	143	14	d(x	d(x	PROPN
ejpam-1822	143	15	,	,	PUNCT
ejpam-1822	143	16	ak+m)−	ak+m)−	ADJ
ejpam-1822	143	17	d(x	d(x	NOUN
ejpam-1822	143	18	,	,	PUNCT
ejpam-1822	143	19	a	a	PRON
ejpam-1822	143	20	)	)	PUNCT
ejpam-1822	143	21	�	�	PROPN
ejpam-1822	143	22	�	�	PROPN
ejpam-1822	143	23	≥	≥	PROPN
ejpam-1822	143	24	ε	ε	PROPN
ejpam-1822	143	25	©	©	PROPN
ejpam-1822	143	26	�	�	PROPN
ejpam-1822	143	27	�	�	PROPN
ejpam-1822	143	28	�	�	PROPN
ejpam-1822	143	29	≥	≥	PROPN
ejpam-1822	143	30	1	1	NUM
ejpam-1822	143	31	n	n	PRON
ejpam-1822	143	32	�	�	PROPN
ejpam-1822	143	33	�	�	PROPN
ejpam-1822	143	34	�	�	PROPN
ejpam-1822	143	35	¦	¦	PROPN
ejpam-1822	143	36	k	k	PROPN
ejpam-1822	143	37	∈	∈	PROPN
ejpam-1822	143	38	in	in	ADP
ejpam-1822	143	39	:	:	PUNCT
ejpam-1822	143	40	�	�	PROPN
ejpam-1822	143	41	�	�	PROPN
ejpam-1822	143	42	d(x	d(x	PROPN
ejpam-1822	143	43	,	,	PUNCT
ejpam-1822	143	44	ak+m)−	ak+m)−	ADJ
ejpam-1822	143	45	d(x	d(x	NOUN
ejpam-1822	143	46	,	,	PUNCT
ejpam-1822	143	47	a	a	PRON
ejpam-1822	143	48	)	)	PUNCT
ejpam-1822	143	49	�	�	PROPN
ejpam-1822	143	50	�	�	PROPN
ejpam-1822	143	51	≥	≥	PROPN
ejpam-1822	143	52	ε	ε	PROPN
ejpam-1822	143	53	©	©	PROPN
ejpam-1822	143	54	�	�	PROPN
ejpam-1822	143	55	�	�	PROPN
ejpam-1822	143	56	�	�	PROPN
ejpam-1822	143	57	≥	≥	NUM
ejpam-1822	143	58	λn	λn	PROPN
ejpam-1822	143	59	n	n	PROPN
ejpam-1822	143	60	.	.	PUNCT
ejpam-1822	144	1	1	1	NUM
ejpam-1822	144	2	λn	λn	PROPN
ejpam-1822	144	3	�	�	PROPN
ejpam-1822	144	4	�	�	PROPN
ejpam-1822	144	5	�	�	PROPN
ejpam-1822	144	6	¦	¦	PROPN
ejpam-1822	144	7	k	k	PROPN
ejpam-1822	144	8	∈	∈	PROPN
ejpam-1822	144	9	in	in	ADP
ejpam-1822	144	10	:	:	PUNCT
ejpam-1822	144	11	�	�	PROPN
ejpam-1822	144	12	�	�	PROPN
ejpam-1822	144	13	d(x	d(x	PROPN
ejpam-1822	144	14	,	,	PUNCT
ejpam-1822	144	15	ak+m)−	ak+m)−	ADJ
ejpam-1822	144	16	d(x	d(x	NOUN
ejpam-1822	144	17	,	,	PUNCT
ejpam-1822	144	18	a	a	PRON
ejpam-1822	144	19	)	)	PUNCT
ejpam-1822	144	20	�	�	PROPN
ejpam-1822	144	21	�	�	PROPN
ejpam-1822	144	22	≥	≥	PROPN
ejpam-1822	144	23	ε	ε	PROPN
ejpam-1822	144	24	©	©	PROPN
ejpam-1822	144	25	�	�	PROPN
ejpam-1822	144	26	�	�	PROPN
ejpam-1822	144	27	�	�	PROPN
ejpam-1822	144	28	.	.	PUNCT
ejpam-1822	145	1	taking	take	VERB
ejpam-1822	145	2	the	the	DET
ejpam-1822	145	3	limit	limit	NOUN
ejpam-1822	145	4	as	as	ADP
ejpam-1822	145	5	n→∞	n→∞	NUM
ejpam-1822	145	6	and	and	CCONJ
ejpam-1822	145	7	using	use	VERB
ejpam-1822	145	8	lim	lim	PROPN
ejpam-1822	145	9	inf	inf	PROPN
ejpam-1822	145	10	λn	λn	PROPN
ejpam-1822	145	11	n	n	PROPN
ejpam-1822	145	12	>	>	ADP
ejpam-1822	145	13	0	0	NUM
ejpam-1822	145	14	,	,	PUNCT
ejpam-1822	145	15	we	we	PRON
ejpam-1822	145	16	get	get	VERB
ejpam-1822	145	17	the	the	DET
ejpam-1822	145	18	desired	desire	VERB
ejpam-1822	145	19	result	result	NOUN
ejpam-1822	145	20	.	.	PUNCT
ejpam-1822	146	1	conversely	conversely	ADV
ejpam-1822	146	2	,	,	PUNCT
ejpam-1822	146	3	suppose	suppose	VERB
ejpam-1822	146	4	that	that	SCONJ
ejpam-1822	146	5	lim	lim	PROPN
ejpam-1822	146	6	infn	infn	PROPN
ejpam-1822	146	7	λn	λn	PROPN
ejpam-1822	146	8	n	n	PROPN
ejpam-1822	146	9	=	=	SYM
ejpam-1822	146	10	0	0	PROPN
ejpam-1822	146	11	.	.	PUNCT
ejpam-1822	147	1	then	then	ADV
ejpam-1822	147	2	we	we	PRON
ejpam-1822	147	3	can	can	AUX
ejpam-1822	147	4	select	select	VERB
ejpam-1822	147	5	a	a	DET
ejpam-1822	147	6	subsequence	subsequence	NOUN
ejpam-1822	147	7	(	(	PUNCT
ejpam-1822	147	8	n(i))∞i=1	n(i))∞i=1	NOUN
ejpam-1822	147	9	such	such	ADJ
ejpam-1822	147	10	that	that	PRON
ejpam-1822	147	11	λn(i	λn(i	PUNCT
ejpam-1822	147	12	)	)	PUNCT
ejpam-1822	147	13	n(i	n(i	PROPN
ejpam-1822	147	14	)	)	PUNCT
ejpam-1822	147	15	<	<	X
ejpam-1822	147	16	1	1	NUM
ejpam-1822	147	17	i	i	INTJ
ejpam-1822	147	18	.	.	PUNCT
ejpam-1822	148	1	we	we	PRON
ejpam-1822	148	2	define	define	VERB
ejpam-1822	148	3	a	a	DET
ejpam-1822	148	4	sequence	sequence	NOUN
ejpam-1822	148	5	(	(	PUNCT
ejpam-1822	148	6	ak	ak	NOUN
ejpam-1822	148	7	)	)	PUNCT
ejpam-1822	148	8	as	as	SCONJ
ejpam-1822	148	9	follows	follow	VERB
ejpam-1822	148	10	:	:	PUNCT
ejpam-1822	148	11	ak	ak	PROPN
ejpam-1822	148	12	=	=	PRON
ejpam-1822	148	13	(	(	PUNCT
ejpam-1822	148	14	{	{	PUNCT
ejpam-1822	148	15	1	1	NUM
ejpam-1822	148	16	}	}	PUNCT
ejpam-1822	148	17	,	,	PUNCT
ejpam-1822	148	18	if	if	SCONJ
ejpam-1822	148	19	n(i)−	n(i)−	PROPN
ejpam-1822	148	20	�	�	PROPN
ejpam-1822	148	21	�	�	PROPN
ejpam-1822	148	22	�	�	PROPN
ejpam-1822	148	23	λn(i	λn(i	PART
ejpam-1822	148	24	)	)	PUNCT
ejpam-1822	148	25	�	�	PROPN
ejpam-1822	148	26	�	�	PROPN
ejpam-1822	148	27	�	�	PROPN
ejpam-1822	148	28	+	+	CCONJ
ejpam-1822	148	29	1≤	1≤	NUM
ejpam-1822	148	30	k	k	PROPN
ejpam-1822	148	31	≤	≤	PROPN
ejpam-1822	148	32	n(i	n(i	PROPN
ejpam-1822	148	33	)	)	PUNCT
ejpam-1822	148	34	,	,	PUNCT
ejpam-1822	148	35	i	i	NOUN
ejpam-1822	148	36	=	=	NOUN
ejpam-1822	148	37	1,2,3	1,2,3	NUM
ejpam-1822	148	38	,	,	PUNCT
ejpam-1822	148	39	.	.	PUNCT
ejpam-1822	148	40	.	.	PUNCT
ejpam-1822	148	41	.	.	PUNCT
ejpam-1822	149	1	;	;	PUNCT
ejpam-1822	149	2	{	{	PUNCT
ejpam-1822	149	3	0	0	NUM
ejpam-1822	149	4	}	}	PUNCT
ejpam-1822	149	5	,	,	PUNCT
ejpam-1822	149	6	otherwise	otherwise	ADV
ejpam-1822	149	7	.	.	PUNCT
ejpam-1822	150	1	then	then	ADV
ejpam-1822	150	2	(	(	PUNCT
ejpam-1822	150	3	ak	ak	PROPN
ejpam-1822	150	4	)	)	PUNCT
ejpam-1822	150	5	is	be	AUX
ejpam-1822	150	6	wijsman	wijsman	ADJ
ejpam-1822	150	7	-	-	PUNCT
ejpam-1822	150	8	statistically	statistically	ADV
ejpam-1822	150	9	convergent	convergent	NOUN
ejpam-1822	150	10	,	,	PUNCT
ejpam-1822	150	11	so	so	CCONJ
ejpam-1822	150	12	(	(	PUNCT
ejpam-1822	150	13	ak	ak	PROPN
ejpam-1822	150	14	)	)	PUNCT
ejpam-1822	150	15	∈	∈	PROPN
ejpam-1822	150	16	sw	sw	PROPN
ejpam-1822	150	17	.	.	PUNCT
ejpam-1822	151	1	but	but	CCONJ
ejpam-1822	151	2	(	(	PUNCT
ejpam-1822	151	3	ak	ak	PROPN
ejpam-1822	151	4	)	)	PUNCT
ejpam-1822	151	5	/∈	/∈	PUNCT
ejpam-1822	152	1	ww	ww	PROPN
ejpam-1822	152	2	λ	λ	PROPN
ejpam-1822	152	3	.	.	PUNCT
ejpam-1822	153	1	therefore	therefore	ADV
ejpam-1822	153	2	the	the	DET
ejpam-1822	153	3	theorem	theorem	ADJ
ejpam-1822	153	4	1	1	NUM
ejpam-1822	153	5	(	(	PUNCT
ejpam-1822	153	6	b	b	NOUN
ejpam-1822	153	7	)	)	PUNCT
ejpam-1822	153	8	implies	imply	VERB
ejpam-1822	153	9	that	that	SCONJ
ejpam-1822	153	10	(	(	PUNCT
ejpam-1822	153	11	ak	ak	PROPN
ejpam-1822	153	12	)	)	PUNCT
ejpam-1822	153	13	/∈	/∈	PUNCT
ejpam-1822	154	1	sw	sw	PROPN
ejpam-1822	154	2	λ	λ	PROPN
ejpam-1822	154	3	.	.	PUNCT
ejpam-1822	155	1	this	this	PRON
ejpam-1822	155	2	completes	complete	VERB
ejpam-1822	155	3	the	the	DET
ejpam-1822	155	4	proof	proof	NOUN
ejpam-1822	155	5	.	.	PUNCT
ejpam-1822	156	1	b.	b.	PROPN
ejpam-1822	156	2	hazarika	hazarika	PROPN
ejpam-1822	156	3	,	,	PUNCT
ejpam-1822	156	4	a.	a.	PROPN
ejpam-1822	156	5	esi	esi	PROPN
ejpam-1822	156	6	/	/	SYM
ejpam-1822	156	7	eur	eur	PROPN
ejpam-1822	156	8	.	.	PUNCT
ejpam-1822	157	1	j.	j.	PROPN
ejpam-1822	157	2	pure	pure	PROPN
ejpam-1822	157	3	appl	appl	PROPN
ejpam-1822	157	4	.	.	PROPN
ejpam-1822	157	5	math	math	PROPN
ejpam-1822	157	6	,	,	PUNCT
ejpam-1822	157	7	6	6	NUM
ejpam-1822	157	8	(	(	PUNCT
ejpam-1822	157	9	2013	2013	NUM
ejpam-1822	157	10	)	)	PUNCT
ejpam-1822	157	11	,	,	PUNCT
ejpam-1822	157	12	137	137	NUM
ejpam-1822	157	13	-	-	SYM
ejpam-1822	157	14	146	146	NUM
ejpam-1822	157	15	144	144	NUM
ejpam-1822	157	16	theorem	theorem	NOUN
ejpam-1822	157	17	3	3	NUM
ejpam-1822	157	18	.	.	PUNCT
ejpam-1822	157	19	sw	sw	PROPN
ejpam-1822	157	20	λ	λ	PROPN
ejpam-1822	157	21	⊂	⊂	PROPN
ejpam-1822	157	22	sw	sw	PROPN
ejpam-1822	157	23	if	if	SCONJ
ejpam-1822	157	24	lim	lim	PROPN
ejpam-1822	157	25	inf	inf	VERB
ejpam-1822	157	26	λn	λn	PROPN
ejpam-1822	157	27	n	n	PROPN
ejpam-1822	157	28	=	=	SYM
ejpam-1822	157	29	1	1	X
ejpam-1822	157	30	.	.	PUNCT
ejpam-1822	158	1	proof	proof	NOUN
ejpam-1822	158	2	.	.	PUNCT
ejpam-1822	159	1	since	since	SCONJ
ejpam-1822	159	2	limn	limn	PROPN
ejpam-1822	159	3	λn	λn	PROPN
ejpam-1822	159	4	n	n	PROPN
ejpam-1822	159	5	=	=	SYM
ejpam-1822	159	6	1	1	NUM
ejpam-1822	159	7	,	,	PUNCT
ejpam-1822	159	8	then	then	ADV
ejpam-1822	159	9	for	for	ADP
ejpam-1822	159	10	ε	ε	PROPN
ejpam-1822	159	11	>	>	X
ejpam-1822	159	12	0	0	PROPN
ejpam-1822	159	13	,	,	PUNCT
ejpam-1822	159	14	for	for	ADP
ejpam-1822	159	15	all	all	DET
ejpam-1822	159	16	m	m	NOUN
ejpam-1822	159	17	∈	∈	NOUN
ejpam-1822	159	18	n	n	CCONJ
ejpam-1822	159	19	,	,	PUNCT
ejpam-1822	159	20	we	we	PRON
ejpam-1822	159	21	observe	observe	VERB
ejpam-1822	159	22	that	that	SCONJ
ejpam-1822	159	23	1	1	NUM
ejpam-1822	159	24	n	n	NOUN
ejpam-1822	159	25	|{k	|{k	X
ejpam-1822	159	26	≤	≤	NOUN
ejpam-1822	159	27	n	n	NOUN
ejpam-1822	159	28	:	:	PUNCT
ejpam-1822	159	29	|d(x	|d(x	PROPN
ejpam-1822	159	30	,	,	PUNCT
ejpam-1822	159	31	ak+m)−	ak+m)−	ADJ
ejpam-1822	159	32	d(x	d(x	NOUN
ejpam-1822	159	33	,	,	PUNCT
ejpam-1822	159	34	a)|	a)|	DET
ejpam-1822	159	35	≥	≥	NOUN
ejpam-1822	159	36	ε}|	ε}|	VERB
ejpam-1822	159	37	≤	≤	NUM
ejpam-1822	159	38	1	1	NUM
ejpam-1822	159	39	n	n	PROPN
ejpam-1822	159	40	|{k	|{k	ADP
ejpam-1822	159	41	≤	≤	X
ejpam-1822	159	42	n−λn	n−λn	ADV
ejpam-1822	159	43	:	:	PUNCT
ejpam-1822	160	1	|d(x	|d(x	PROPN
ejpam-1822	160	2	,	,	PUNCT
ejpam-1822	160	3	ak+m)−	ak+m)−	ADJ
ejpam-1822	160	4	d(x	d(x	NOUN
ejpam-1822	160	5	,	,	PUNCT
ejpam-1822	160	6	a)|	a)|	X
ejpam-1822	160	7	≥	≥	NOUN
ejpam-1822	160	8	ε}|	ε}|	VERB
ejpam-1822	160	9	+	+	CCONJ
ejpam-1822	160	10	1	1	NUM
ejpam-1822	160	11	n	n	NOUN
ejpam-1822	160	12	|{k	|{k	ADP
ejpam-1822	160	13	∈	∈	NOUN
ejpam-1822	160	14	in	in	ADP
ejpam-1822	160	15	:	:	PUNCT
ejpam-1822	160	16	|d(x	|d(x	PROPN
ejpam-1822	160	17	,	,	PUNCT
ejpam-1822	160	18	ak+m)−	ak+m)−	ADJ
ejpam-1822	160	19	d(x	d(x	NOUN
ejpam-1822	160	20	,	,	PUNCT
ejpam-1822	160	21	a)|	a)|	DET
ejpam-1822	160	22	≥	≥	NOUN
ejpam-1822	160	23	ε}|	ε}|	VERB
ejpam-1822	160	24	≤	≤	NOUN
ejpam-1822	160	25	n−λn	n−λn	NOUN
ejpam-1822	160	26	n	n	PROPN
ejpam-1822	160	27	+	+	CCONJ
ejpam-1822	160	28	1	1	NUM
ejpam-1822	160	29	n	n	NOUN
ejpam-1822	160	30	|{k	|{k	ADP
ejpam-1822	160	31	∈	∈	NOUN
ejpam-1822	160	32	in	in	ADP
ejpam-1822	160	33	:	:	PUNCT
ejpam-1822	160	34	|d(x	|d(x	PROPN
ejpam-1822	160	35	,	,	PUNCT
ejpam-1822	160	36	ak+m−	ak+m−	ADP
ejpam-1822	160	37	d(x	d(x	NOUN
ejpam-1822	160	38	,	,	PUNCT
ejpam-1822	160	39	a)|	a)|	X
ejpam-1822	160	40	≥	≥	NOUN
ejpam-1822	160	41	ε}|	ε}|	NOUN
ejpam-1822	160	42	=	=	VERB
ejpam-1822	160	43	n−λn	n−λn	NOUN
ejpam-1822	160	44	n	n	NOUN
ejpam-1822	160	45	+	+	CCONJ
ejpam-1822	160	46	λn	λn	PROPN
ejpam-1822	160	47	n	n	ADV
ejpam-1822	160	48	1	1	NUM
ejpam-1822	160	49	λn	λn	NOUN
ejpam-1822	160	50	|{k	|{k	X
ejpam-1822	160	51	∈	∈	NOUN
ejpam-1822	160	52	in	in	ADP
ejpam-1822	160	53	:	:	PUNCT
ejpam-1822	160	54	|d(x	|d(x	PROPN
ejpam-1822	160	55	,	,	PUNCT
ejpam-1822	160	56	ak+m−	ak+m−	ADP
ejpam-1822	160	57	d(x	d(x	PROPN
ejpam-1822	160	58	,	,	PUNCT
ejpam-1822	160	59	a)|	a)|	X
ejpam-1822	160	60	≥	≥	NOUN
ejpam-1822	160	61	ε}|	ε}|	VERB
ejpam-1822	160	62	.	.	PUNCT
ejpam-1822	161	1	this	this	PRON
ejpam-1822	161	2	implies	imply	VERB
ejpam-1822	161	3	that	that	SCONJ
ejpam-1822	161	4	(	(	PUNCT
ejpam-1822	161	5	ak	ak	PROPN
ejpam-1822	161	6	)	)	PUNCT
ejpam-1822	161	7	wijsman	wijsman	NOUN
ejpam-1822	161	8	almost	almost	ADV
ejpam-1822	161	9	statistically	statistically	ADV
ejpam-1822	161	10	convergent	convergent	ADJ
ejpam-1822	161	11	,	,	PUNCT
ejpam-1822	161	12	if	if	SCONJ
ejpam-1822	161	13	(	(	PUNCT
ejpam-1822	161	14	ak	ak	NOUN
ejpam-1822	161	15	)	)	PUNCT
ejpam-1822	161	16	is	be	AUX
ejpam-1822	161	17	wijsman	wijsman	ADJ
ejpam-1822	161	18	almost	almost	ADV
ejpam-1822	161	19	statistically	statistically	ADV
ejpam-1822	161	20	λ	λ	NOUN
ejpam-1822	161	21	-	-	NOUN
ejpam-1822	161	22	convergent	convergent	NOUN
ejpam-1822	161	23	.	.	PUNCT
ejpam-1822	162	1	thus	thus	ADV
ejpam-1822	162	2	sw	sw	PROPN
ejpam-1822	162	3	λ	λ	PROPN
ejpam-1822	162	4	⊂	⊂	PROPN
ejpam-1822	162	5	sw	sw	PROPN
ejpam-1822	162	6	.	.	PUNCT
ejpam-1822	163	1	remark	remark	PROPN
ejpam-1822	163	2	1	1	NUM
ejpam-1822	163	3	.	.	PUNCT
ejpam-1822	164	1	since	since	SCONJ
ejpam-1822	164	2	limn	limn	PROPN
ejpam-1822	164	3	λn	λn	PROPN
ejpam-1822	164	4	n	n	PROPN
ejpam-1822	164	5	=	=	SYM
ejpam-1822	164	6	1	1	NUM
ejpam-1822	164	7	,	,	PUNCT
ejpam-1822	164	8	implies	imply	VERB
ejpam-1822	164	9	that	that	SCONJ
ejpam-1822	164	10	lim	lim	PROPN
ejpam-1822	164	11	infn	infn	PROPN
ejpam-1822	164	12	λn	λn	PROPN
ejpam-1822	164	13	n	n	PROPN
ejpam-1822	164	14	>	>	PROPN
ejpam-1822	164	15	0	0	NUM
ejpam-1822	164	16	,	,	PUNCT
ejpam-1822	164	17	then	then	ADV
ejpam-1822	164	18	from	from	ADP
ejpam-1822	164	19	theorem	theorem	NOUN
ejpam-1822	164	20	2	2	NUM
ejpam-1822	164	21	,	,	PUNCT
ejpam-1822	164	22	we	we	PRON
ejpam-1822	164	23	have	have	VERB
ejpam-1822	164	24	sw	sw	PROPN
ejpam-1822	164	25	⊂	⊂	PROPN
ejpam-1822	164	26	sw	sw	PROPN
ejpam-1822	164	27	λ	λ	PROPN
ejpam-1822	164	28	.	.	PUNCT
ejpam-1822	165	1	hence	hence	ADV
ejpam-1822	165	2	sw	sw	PROPN
ejpam-1822	165	3	λ	λ	PROPN
ejpam-1822	165	4	=	=	PROPN
ejpam-1822	165	5	sw	sw	PROPN
ejpam-1822	165	6	.	.	PUNCT
ejpam-1822	166	1	definition	definition	NOUN
ejpam-1822	166	2	14	14	NUM
ejpam-1822	166	3	(	(	PUNCT
ejpam-1822	166	4	[	[	X
ejpam-1822	166	5	9	9	NUM
ejpam-1822	166	6	]	]	PUNCT
ejpam-1822	166	7	)	)	PUNCT
ejpam-1822	166	8	.	.	PUNCT
ejpam-1822	167	1	let	let	AUX
ejpam-1822	167	2	(	(	PUNCT
ejpam-1822	167	3	x	x	X
ejpam-1822	167	4	,	,	PUNCT
ejpam-1822	167	5	ρ	ρ	PROPN
ejpam-1822	167	6	)	)	PUNCT
ejpam-1822	167	7	be	be	AUX
ejpam-1822	167	8	a	a	DET
ejpam-1822	167	9	metric	metric	ADJ
ejpam-1822	167	10	space	space	NOUN
ejpam-1822	167	11	.	.	PUNCT
ejpam-1822	168	1	for	for	ADP
ejpam-1822	168	2	any	any	DET
ejpam-1822	168	3	non	non	ADJ
ejpam-1822	168	4	-	-	ADJ
ejpam-1822	168	5	empty	empty	ADJ
ejpam-1822	168	6	closed	closed	ADJ
ejpam-1822	168	7	subsets	subset	NOUN
ejpam-1822	168	8	a	a	PRON
ejpam-1822	168	9	,	,	PUNCT
ejpam-1822	168	10	ak	ak	PROPN
ejpam-1822	168	11	⊂	⊂	PROPN
ejpam-1822	168	12	x	x	X
ejpam-1822	168	13	,	,	PUNCT
ejpam-1822	168	14	we	we	PRON
ejpam-1822	168	15	say	say	VERB
ejpam-1822	168	16	{	{	PUNCT
ejpam-1822	168	17	ak	ak	PROPN
ejpam-1822	168	18	}	}	PUNCT
ejpam-1822	168	19	is	be	AUX
ejpam-1822	168	20	wijsman	wijsman	ADJ
ejpam-1822	168	21	strongly	strongly	ADV
ejpam-1822	168	22	p	p	VERB
ejpam-1822	168	23	-	-	PUNCT
ejpam-1822	168	24	almost	almost	ADV
ejpam-1822	168	25	convergent	convergent	ADJ
ejpam-1822	168	26	to	to	ADP
ejpam-1822	168	27	a	a	DET
ejpam-1822	168	28	if	if	NOUN
ejpam-1822	168	29	for	for	ADP
ejpam-1822	168	30	each	each	DET
ejpam-1822	168	31	x	x	SYM
ejpam-1822	168	32	∈	∈	PROPN
ejpam-1822	168	33	x	x	X
ejpam-1822	168	34	,	,	PUNCT
ejpam-1822	168	35	p	p	PROPN
ejpam-1822	168	36	∈	∈	PROPN
ejpam-1822	168	37	(	(	PUNCT
ejpam-1822	168	38	0,∞	0,∞	NOUN
ejpam-1822	168	39	)	)	PUNCT
ejpam-1822	168	40	,	,	PUNCT
ejpam-1822	168	41	lim	lim	PROPN
ejpam-1822	168	42	n→∞	n→∞	NUM
ejpam-1822	168	43	1	1	NUM
ejpam-1822	168	44	n	n	NUM
ejpam-1822	168	45	n	n	ADV
ejpam-1822	168	46	∑	∑	PUNCT
ejpam-1822	168	47	k=1	k=1	PROPN
ejpam-1822	168	48	|d(x	|d(x	PROPN
ejpam-1822	168	49	,	,	PUNCT
ejpam-1822	168	50	ak+m)−	ak+m)−	PROPN
ejpam-1822	168	51	d(x	d(x	NOUN
ejpam-1822	168	52	,	,	PUNCT
ejpam-1822	168	53	a)|p	a)|p	NOUN
ejpam-1822	168	54	=	=	SYM
ejpam-1822	168	55	0	0	NUM
ejpam-1822	168	56	uniformly	uniformly	ADV
ejpam-1822	168	57	in	in	ADP
ejpam-1822	168	58	m.	m.	NOUN
ejpam-1822	168	59	we	we	PRON
ejpam-1822	168	60	introduced	introduce	VERB
ejpam-1822	168	61	the	the	DET
ejpam-1822	168	62	following	following	ADJ
ejpam-1822	168	63	definition	definition	NOUN
ejpam-1822	168	64	.	.	PUNCT
ejpam-1822	169	1	definition	definition	NOUN
ejpam-1822	169	2	15	15	NUM
ejpam-1822	169	3	.	.	PUNCT
ejpam-1822	170	1	let	let	AUX
ejpam-1822	170	2	(	(	PUNCT
ejpam-1822	170	3	x	x	X
ejpam-1822	170	4	,	,	PUNCT
ejpam-1822	170	5	ρ	ρ	PROPN
ejpam-1822	170	6	)	)	PUNCT
ejpam-1822	170	7	be	be	AUX
ejpam-1822	170	8	a	a	DET
ejpam-1822	170	9	metric	metric	ADJ
ejpam-1822	170	10	space	space	NOUN
ejpam-1822	170	11	.	.	PUNCT
ejpam-1822	171	1	for	for	ADP
ejpam-1822	171	2	any	any	DET
ejpam-1822	171	3	non	non	ADJ
ejpam-1822	171	4	-	-	ADJ
ejpam-1822	171	5	empty	empty	ADJ
ejpam-1822	171	6	closed	closed	ADJ
ejpam-1822	171	7	subsets	subset	NOUN
ejpam-1822	171	8	a	a	PRON
ejpam-1822	171	9	,	,	PUNCT
ejpam-1822	171	10	ak	ak	PROPN
ejpam-1822	171	11	⊂	⊂	PROPN
ejpam-1822	171	12	x	x	X
ejpam-1822	171	13	,	,	PUNCT
ejpam-1822	171	14	we	we	PRON
ejpam-1822	171	15	say	say	VERB
ejpam-1822	171	16	{	{	PUNCT
ejpam-1822	171	17	ak	ak	PROPN
ejpam-1822	171	18	}	}	PUNCT
ejpam-1822	171	19	is	be	AUX
ejpam-1822	171	20	wijsman	wijsman	VERB
ejpam-1822	171	21	strongly	strongly	ADV
ejpam-1822	171	22	almost	almost	ADV
ejpam-1822	171	23	λp	λp	VERB
ejpam-1822	171	24	-	-	PUNCT
ejpam-1822	171	25	summable	summable	ADJ
ejpam-1822	171	26	to	to	ADP
ejpam-1822	171	27	a	a	DET
ejpam-1822	171	28	if	if	NOUN
ejpam-1822	171	29	for	for	ADP
ejpam-1822	171	30	each	each	DET
ejpam-1822	171	31	x	x	SYM
ejpam-1822	171	32	∈	∈	PROPN
ejpam-1822	171	33	x	x	X
ejpam-1822	171	34	,	,	PUNCT
ejpam-1822	171	35	p	p	PROPN
ejpam-1822	171	36	∈	∈	PROPN
ejpam-1822	171	37	(	(	PUNCT
ejpam-1822	171	38	0,∞	0,∞	NOUN
ejpam-1822	171	39	)	)	PUNCT
ejpam-1822	171	40	,	,	PUNCT
ejpam-1822	171	41	lim	lim	PROPN
ejpam-1822	171	42	n→∞	n→∞	NUM
ejpam-1822	171	43	1	1	NUM
ejpam-1822	171	44	λn	λn	NOUN
ejpam-1822	171	45	∑	∑	ADV
ejpam-1822	171	46	k∈in	k∈in	PROPN
ejpam-1822	171	47	|d(x	|d(x	PROPN
ejpam-1822	171	48	,	,	PUNCT
ejpam-1822	171	49	ak+m)−	ak+m)−	ADJ
ejpam-1822	171	50	d(x	d(x	NOUN
ejpam-1822	171	51	,	,	PUNCT
ejpam-1822	171	52	a)|p	a)|p	NOUN
ejpam-1822	171	53	=	=	SYM
ejpam-1822	171	54	0	0	NUM
ejpam-1822	171	55	uniformly	uniformly	ADV
ejpam-1822	171	56	in	in	ADP
ejpam-1822	171	57	m.	m.	NOUN
ejpam-1822	171	58	if	if	SCONJ
ejpam-1822	171	59	λn	λn	PROPN
ejpam-1822	171	60	=	=	SYM
ejpam-1822	171	61	n	n	CCONJ
ejpam-1822	171	62	,	,	PUNCT
ejpam-1822	171	63	wijsman	wijsman	VERB
ejpam-1822	171	64	strongly	strongly	ADV
ejpam-1822	171	65	almost	almost	ADV
ejpam-1822	171	66	λp	λp	ADJ
ejpam-1822	171	67	-	-	PUNCT
ejpam-1822	171	68	summable	summable	ADJ
ejpam-1822	171	69	reduces	reduce	VERB
ejpam-1822	171	70	to	to	PART
ejpam-1822	171	71	wijsman	wijsman	VERB
ejpam-1822	171	72	strongly	strongly	ADV
ejpam-1822	171	73	almost	almost	ADV
ejpam-1822	171	74	p	p	NOUN
ejpam-1822	171	75	-	-	PUNCT
ejpam-1822	171	76	cesaro	cesaro	NOUN
ejpam-1822	171	77	summable	summable	NOUN
ejpam-1822	171	78	defined	define	VERB
ejpam-1822	171	79	as	as	SCONJ
ejpam-1822	171	80	follows	follow	VERB
ejpam-1822	171	81	:	:	PUNCT
ejpam-1822	171	82	lim	lim	PROPN
ejpam-1822	171	83	n→∞	n→∞	NUM
ejpam-1822	171	84	1	1	NUM
ejpam-1822	171	85	n	n	NUM
ejpam-1822	171	86	n	n	ADV
ejpam-1822	171	87	∑	∑	PUNCT
ejpam-1822	172	1	k=1	k=1	PROPN
ejpam-1822	172	2	|d(x	|d(x	PROPN
ejpam-1822	172	3	,	,	PUNCT
ejpam-1822	172	4	ak+m)−	ak+m)−	PROPN
ejpam-1822	172	5	d(x	d(x	NOUN
ejpam-1822	172	6	,	,	PUNCT
ejpam-1822	172	7	a)|p	a)|p	NOUN
ejpam-1822	172	8	=	=	SYM
ejpam-1822	172	9	0	0	NUM
ejpam-1822	172	10	uniformly	uniformly	ADV
ejpam-1822	172	11	in	in	ADP
ejpam-1822	172	12	m.	m.	NOUN
ejpam-1822	172	13	theorem	theorem	NOUN
ejpam-1822	172	14	4	4	X
ejpam-1822	172	15	.	.	PUNCT
ejpam-1822	173	1	let	let	AUX
ejpam-1822	173	2	(	(	PUNCT
ejpam-1822	173	3	x	x	X
ejpam-1822	173	4	,	,	PUNCT
ejpam-1822	173	5	ρ	ρ	PROPN
ejpam-1822	173	6	)	)	PUNCT
ejpam-1822	173	7	be	be	VERB
ejpam-1822	173	8	a	a	DET
ejpam-1822	173	9	metric	metric	ADJ
ejpam-1822	173	10	space	space	NOUN
ejpam-1822	173	11	and	and	CCONJ
ejpam-1822	173	12	a	a	PRON
ejpam-1822	173	13	,	,	PUNCT
ejpam-1822	173	14	ak	ak	PROPN
ejpam-1822	173	15	⊂	⊂	PROPN
ejpam-1822	173	16	x	x	X
ejpam-1822	173	17	(	(	PUNCT
ejpam-1822	173	18	k	k	PROPN
ejpam-1822	173	19	∈	∈	PROPN
ejpam-1822	173	20	n	n	CCONJ
ejpam-1822	173	21	)	)	PUNCT
ejpam-1822	173	22	be	be	AUX
ejpam-1822	173	23	non	non	ADJ
ejpam-1822	173	24	-	-	ADJ
ejpam-1822	173	25	empty	empty	ADJ
ejpam-1822	173	26	closed	closed	ADJ
ejpam-1822	173	27	subsets	subset	NOUN
ejpam-1822	173	28	of	of	ADP
ejpam-1822	173	29	x	x	X
ejpam-1822	173	30	.	.	PUNCT
ejpam-1822	174	1	if	if	SCONJ
ejpam-1822	174	2	(	(	PUNCT
ejpam-1822	174	3	ak	ak	NOUN
ejpam-1822	174	4	)	)	PUNCT
ejpam-1822	174	5	is	be	AUX
ejpam-1822	174	6	wijsman	wijsman	VERB
ejpam-1822	174	7	strongly	strongly	ADV
ejpam-1822	174	8	almost	almost	ADV
ejpam-1822	174	9	λp	λp	VERB
ejpam-1822	174	10	-	-	PUNCT
ejpam-1822	174	11	summable	summable	ADJ
ejpam-1822	174	12	to	to	ADP
ejpam-1822	174	13	a	a	PRON
ejpam-1822	174	14	,	,	PUNCT
ejpam-1822	174	15	then	then	ADV
ejpam-1822	174	16	it	it	PRON
ejpam-1822	174	17	is	be	AUX
ejpam-1822	174	18	wijsman	wijsman	ADJ
ejpam-1822	174	19	statistically	statistically	ADV
ejpam-1822	174	20	almost	almost	ADV
ejpam-1822	174	21	λ	λ	NOUN
ejpam-1822	174	22	-	-	NOUN
ejpam-1822	174	23	convergent	convergent	NOUN
ejpam-1822	174	24	to	to	ADP
ejpam-1822	174	25	a.	a.	PROPN
ejpam-1822	174	26	b.	b.	PROPN
ejpam-1822	174	27	hazarika	hazarika	PROPN
ejpam-1822	174	28	,	,	PUNCT
ejpam-1822	174	29	a.	a.	PROPN
ejpam-1822	174	30	esi	esi	PROPN
ejpam-1822	174	31	/	/	SYM
ejpam-1822	174	32	eur	eur	PROPN
ejpam-1822	174	33	.	.	PUNCT
ejpam-1822	175	1	j.	j.	PROPN
ejpam-1822	175	2	pure	pure	PROPN
ejpam-1822	175	3	appl	appl	PROPN
ejpam-1822	175	4	.	.	PROPN
ejpam-1822	175	5	math	math	PROPN
ejpam-1822	175	6	,	,	PUNCT
ejpam-1822	175	7	6	6	NUM
ejpam-1822	175	8	(	(	PUNCT
ejpam-1822	175	9	2013	2013	NUM
ejpam-1822	175	10	)	)	PUNCT
ejpam-1822	175	11	,	,	PUNCT
ejpam-1822	175	12	137	137	NUM
ejpam-1822	175	13	-	-	SYM
ejpam-1822	175	14	146	146	NUM
ejpam-1822	175	15	145	145	NUM
ejpam-1822	175	16	proof	proof	NOUN
ejpam-1822	175	17	.	.	PUNCT
ejpam-1822	176	1	for	for	ADP
ejpam-1822	176	2	any	any	DET
ejpam-1822	176	3	(	(	PUNCT
ejpam-1822	176	4	ak	ak	PROPN
ejpam-1822	176	5	,	,	PUNCT
ejpam-1822	176	6	)	)	PUNCT
ejpam-1822	176	7	fix	fix	VERB
ejpam-1822	176	8	an	an	DET
ejpam-1822	176	9	ε	ε	PROPN
ejpam-1822	176	10	>	>	X
ejpam-1822	176	11	0	0	PUNCT
ejpam-1822	176	12	and	and	CCONJ
ejpam-1822	176	13	for	for	ADP
ejpam-1822	176	14	all	all	DET
ejpam-1822	176	15	m	m	NOUN
ejpam-1822	176	16	∈	∈	NOUN
ejpam-1822	176	17	n	n	CCONJ
ejpam-1822	176	18	,	,	PUNCT
ejpam-1822	176	19	we	we	PRON
ejpam-1822	176	20	have	have	AUX
ejpam-1822	176	21	∑	∑	ADV
ejpam-1822	176	22	k∈in	k∈in	VERB
ejpam-1822	176	23	|d(x	|d(x	PROPN
ejpam-1822	176	24	,	,	PUNCT
ejpam-1822	176	25	ak+m)−	ak+m)−	ADJ
ejpam-1822	176	26	d(x	d(x	PROPN
ejpam-1822	176	27	,	,	PUNCT
ejpam-1822	176	28	a)|p	a)|p	PROPN
ejpam-1822	176	29	≥	≥	PROPN
ejpam-1822	176	30	ε|{k	ε|{k	PROPN
ejpam-1822	176	31	∈	∈	PROPN
ejpam-1822	176	32	in	in	ADP
ejpam-1822	176	33	:	:	PUNCT
ejpam-1822	176	34	|d(x	|d(x	PROPN
ejpam-1822	176	35	,	,	PUNCT
ejpam-1822	176	36	ak+m)−	ak+m)−	ADJ
ejpam-1822	176	37	d(x	d(x	PROPN
ejpam-1822	176	38	,	,	PUNCT
ejpam-1822	176	39	a)|p	a)|p	X
ejpam-1822	176	40	≥	≥	NOUN
ejpam-1822	176	41	ε}|	ε}|	NOUN
ejpam-1822	176	42	,	,	PUNCT
ejpam-1822	176	43	and	and	CCONJ
ejpam-1822	176	44	it	it	PRON
ejpam-1822	176	45	follows	follow	VERB
ejpam-1822	176	46	that	that	SCONJ
ejpam-1822	176	47	if	if	SCONJ
ejpam-1822	176	48	(	(	PUNCT
ejpam-1822	176	49	ak	ak	NOUN
ejpam-1822	176	50	)	)	PUNCT
ejpam-1822	176	51	is	be	AUX
ejpam-1822	176	52	wijsman	wijsman	VERB
ejpam-1822	176	53	strongly	strongly	ADV
ejpam-1822	176	54	almost	almost	ADV
ejpam-1822	176	55	λp	λp	VERB
ejpam-1822	176	56	-	-	PUNCT
ejpam-1822	176	57	summable	summable	ADJ
ejpam-1822	176	58	to	to	ADP
ejpam-1822	176	59	a	a	PRON
ejpam-1822	176	60	,	,	PUNCT
ejpam-1822	176	61	then	then	ADV
ejpam-1822	176	62	it	it	PRON
ejpam-1822	176	63	is	be	AUX
ejpam-1822	176	64	wijsman	wijsman	ADJ
ejpam-1822	176	65	statistically	statistically	ADV
ejpam-1822	176	66	almost	almost	ADV
ejpam-1822	176	67	λ	λ	NOUN
ejpam-1822	176	68	-	-	NOUN
ejpam-1822	176	69	convergent	convergent	NOUN
ejpam-1822	176	70	to	to	PART
ejpam-1822	176	71	a.	a.	NOUN
ejpam-1822	176	72	theorem	theorem	NOUN
ejpam-1822	176	73	5	5	X
ejpam-1822	176	74	.	.	PUNCT
ejpam-1822	177	1	let	let	AUX
ejpam-1822	177	2	(	(	PUNCT
ejpam-1822	177	3	x	x	X
ejpam-1822	177	4	,	,	PUNCT
ejpam-1822	177	5	ρ	ρ	PROPN
ejpam-1822	177	6	)	)	PUNCT
ejpam-1822	177	7	be	be	VERB
ejpam-1822	177	8	a	a	DET
ejpam-1822	177	9	metric	metric	ADJ
ejpam-1822	177	10	space	space	NOUN
ejpam-1822	177	11	and	and	CCONJ
ejpam-1822	177	12	a	a	PRON
ejpam-1822	177	13	,	,	PUNCT
ejpam-1822	177	14	ak	ak	PROPN
ejpam-1822	177	15	⊂	⊂	PROPN
ejpam-1822	177	16	x	x	X
ejpam-1822	177	17	(	(	PUNCT
ejpam-1822	177	18	k	k	PROPN
ejpam-1822	177	19	∈	∈	PROPN
ejpam-1822	177	20	n	n	CCONJ
ejpam-1822	177	21	)	)	PUNCT
ejpam-1822	177	22	be	be	AUX
ejpam-1822	177	23	non	non	ADJ
ejpam-1822	177	24	-	-	ADJ
ejpam-1822	177	25	empty	empty	ADJ
ejpam-1822	177	26	closed	closed	ADJ
ejpam-1822	177	27	subsets	subset	NOUN
ejpam-1822	177	28	of	of	ADP
ejpam-1822	177	29	x	x	X
ejpam-1822	177	30	.	.	PUNCT
ejpam-1822	178	1	if	if	SCONJ
ejpam-1822	178	2	(	(	PUNCT
ejpam-1822	178	3	ak	ak	NOUN
ejpam-1822	178	4	)	)	PUNCT
ejpam-1822	178	5	is	be	AUX
ejpam-1822	178	6	bounded	bound	VERB
ejpam-1822	178	7	and	and	CCONJ
ejpam-1822	178	8	wijsman	wijsman	VERB
ejpam-1822	178	9	statistically	statistically	ADV
ejpam-1822	178	10	almost	almost	ADV
ejpam-1822	178	11	λ	λ	NOUN
ejpam-1822	178	12	-	-	NOUN
ejpam-1822	178	13	convergent	convergent	NOUN
ejpam-1822	178	14	to	to	ADP
ejpam-1822	178	15	a	a	PRON
ejpam-1822	178	16	,	,	PUNCT
ejpam-1822	178	17	then	then	ADV
ejpam-1822	178	18	it	it	PRON
ejpam-1822	178	19	is	be	AUX
ejpam-1822	178	20	wijsman	wijsman	ADJ
ejpam-1822	178	21	strongly	strongly	ADV
ejpam-1822	178	22	almost	almost	ADV
ejpam-1822	178	23	λp	λp	VERB
ejpam-1822	178	24	-	-	PUNCT
ejpam-1822	178	25	summable	summable	ADJ
ejpam-1822	178	26	to	to	ADP
ejpam-1822	178	27	a	a	PRON
ejpam-1822	178	28	and	and	CCONJ
ejpam-1822	178	29	hence	hence	ADV
ejpam-1822	178	30	(	(	PUNCT
ejpam-1822	178	31	ak	ak	NOUN
ejpam-1822	178	32	)	)	PUNCT
ejpam-1822	178	33	is	be	AUX
ejpam-1822	178	34	wijsman	wijsman	VERB
ejpam-1822	178	35	strongly	strongly	ADV
ejpam-1822	178	36	almost	almost	ADV
ejpam-1822	178	37	p	p	NOUN
ejpam-1822	178	38	-	-	PUNCT
ejpam-1822	178	39	cesaro	cesaro	NOUN
ejpam-1822	178	40	summable	summable	ADJ
ejpam-1822	178	41	to	to	ADP
ejpam-1822	178	42	a.	a.	NOUN
ejpam-1822	178	43	proof	proof	NOUN
ejpam-1822	178	44	.	.	PUNCT
ejpam-1822	179	1	let	let	VERB
ejpam-1822	179	2	(	(	PUNCT
ejpam-1822	179	3	ak	ak	PROPN
ejpam-1822	179	4	)	)	PUNCT
ejpam-1822	179	5	is	be	AUX
ejpam-1822	179	6	bounded	bound	VERB
ejpam-1822	179	7	and	and	CCONJ
ejpam-1822	179	8	wijsman	wijsman	VERB
ejpam-1822	179	9	statistically	statistically	ADV
ejpam-1822	179	10	almost	almost	ADV
ejpam-1822	179	11	λ	λ	NOUN
ejpam-1822	179	12	-	-	NOUN
ejpam-1822	179	13	convergent	convergent	NOUN
ejpam-1822	179	14	to	to	PART
ejpam-1822	179	15	a.	a.	VERB
ejpam-1822	179	16	since	since	SCONJ
ejpam-1822	179	17	(	(	PUNCT
ejpam-1822	179	18	ak	ak	PROPN
ejpam-1822	179	19	)	)	PUNCT
ejpam-1822	179	20	is	be	AUX
ejpam-1822	179	21	bounded	bound	VERB
ejpam-1822	179	22	,	,	PUNCT
ejpam-1822	179	23	then	then	ADV
ejpam-1822	179	24	there	there	PRON
ejpam-1822	179	25	exists	exist	VERB
ejpam-1822	179	26	m	m	VERB
ejpam-1822	179	27	>	>	X
ejpam-1822	179	28	0	0	NUM
ejpam-1822	180	1	such	such	ADJ
ejpam-1822	180	2	that	that	SCONJ
ejpam-1822	180	3	|d(x	|d(x	PROPN
ejpam-1822	180	4	,	,	PUNCT
ejpam-1822	180	5	ak+m)−	ak+m)−	ADJ
ejpam-1822	180	6	d(x	d(x	NOUN
ejpam-1822	180	7	,	,	PUNCT
ejpam-1822	180	8	a)|	a)|	X
ejpam-1822	180	9	≤	≤	X
ejpam-1822	180	10	m	m	VERB
ejpam-1822	180	11	for	for	ADP
ejpam-1822	180	12	all	all	DET
ejpam-1822	180	13	k	k	PROPN
ejpam-1822	180	14	,	,	PUNCT
ejpam-1822	180	15	m	m	PROPN
ejpam-1822	180	16	∈	∈	PROPN
ejpam-1822	180	17	n.	n.	NOUN
ejpam-1822	180	18	let	let	VERB
ejpam-1822	180	19	ε	ε	PROPN
ejpam-1822	180	20	>	>	X
ejpam-1822	180	21	0	0	PUNCT
ejpam-1822	180	22	be	be	AUX
ejpam-1822	180	23	given	give	VERB
ejpam-1822	180	24	and	and	CCONJ
ejpam-1822	180	25	for	for	ADP
ejpam-1822	180	26	all	all	DET
ejpam-1822	180	27	m	m	NOUN
ejpam-1822	180	28	∈	∈	NOUN
ejpam-1822	180	29	n	n	CCONJ
ejpam-1822	180	30	,	,	PUNCT
ejpam-1822	180	31	we	we	PRON
ejpam-1822	180	32	select	select	VERB
ejpam-1822	180	33	n0	n0	X
ejpam-1822	180	34	=	=	SYM
ejpam-1822	180	35	n0(ε	n0(ε	X
ejpam-1822	180	36	)	)	PUNCT
ejpam-1822	180	37	such	such	ADJ
ejpam-1822	180	38	that	that	SCONJ
ejpam-1822	180	39	1	1	NUM
ejpam-1822	180	40	λn	λn	PROPN
ejpam-1822	180	41	�	�	PROPN
ejpam-1822	180	42	�	�	PROPN
ejpam-1822	180	43	�	�	PROPN
ejpam-1822	180	44	�	�	PROPN
ejpam-1822	180	45	�	�	PROPN
ejpam-1822	180	46	¨	¨	NOUN
ejpam-1822	180	47	k	k	PROPN
ejpam-1822	180	48	∈	∈	PROPN
ejpam-1822	180	49	in	in	ADP
ejpam-1822	180	50	:	:	PUNCT
ejpam-1822	180	51	|d(x	|d(x	PROPN
ejpam-1822	180	52	,	,	PUNCT
ejpam-1822	180	53	ak+m)−	ak+m)−	ADJ
ejpam-1822	180	54	d(x	d(x	PROPN
ejpam-1822	180	55	,	,	PUNCT
ejpam-1822	180	56	a)|p	a)|p	PROPN
ejpam-1822	180	57	≥	≥	PROPN
ejpam-1822	180	58	�	�	PROPN
ejpam-1822	180	59	ε	ε	PROPN
ejpam-1822	180	60	2	2	NUM
ejpam-1822	180	61	�	�	PROPN
ejpam-1822	180	62	1	1	NUM
ejpam-1822	180	63	p	p	NOUN
ejpam-1822	180	64	«	«	PUNCT
ejpam-1822	180	65	�	�	PROPN
ejpam-1822	180	66	�	�	PROPN
ejpam-1822	180	67	�	�	PROPN
ejpam-1822	180	68	�	�	PROPN
ejpam-1822	180	69	�	�	PROPN
ejpam-1822	180	70	<	<	X
ejpam-1822	180	71	ε	ε	PROPN
ejpam-1822	180	72	2	2	NUM
ejpam-1822	180	73	m	m	NOUN
ejpam-1822	180	74	p	p	NOUN
ejpam-1822	180	75	for	for	ADP
ejpam-1822	180	76	all	all	DET
ejpam-1822	180	77	n	n	CCONJ
ejpam-1822	180	78	>	>	X
ejpam-1822	180	79	n0	n0	PROPN
ejpam-1822	180	80	.	.	PUNCT
ejpam-1822	181	1	we	we	PRON
ejpam-1822	181	2	put	put	VERB
ejpam-1822	181	3	k(ε	k(ε	PRON
ejpam-1822	181	4	)	)	PUNCT
ejpam-1822	182	1	=	=	PUNCT
ejpam-1822	183	1	¨	¨	X
ejpam-1822	183	2	k	k	X
ejpam-1822	183	3	∈	∈	PROPN
ejpam-1822	183	4	in	in	ADP
ejpam-1822	183	5	:	:	PUNCT
ejpam-1822	183	6	|d(x	|d(x	PROPN
ejpam-1822	183	7	,	,	PUNCT
ejpam-1822	183	8	ak+m)−	ak+m)−	ADJ
ejpam-1822	183	9	d(x	d(x	NOUN
ejpam-1822	183	10	,	,	PUNCT
ejpam-1822	183	11	a)|	a)|	X
ejpam-1822	183	12	≥	≥	NOUN
ejpam-1822	183	13	�	�	PROPN
ejpam-1822	183	14	ε	ε	PROPN
ejpam-1822	183	15	2	2	NUM
ejpam-1822	183	16	�	�	PROPN
ejpam-1822	183	17	1	1	NUM
ejpam-1822	183	18	p	p	NOUN
ejpam-1822	183	19	«	«	PUNCT
ejpam-1822	183	20	.	.	PUNCT
ejpam-1822	184	1	for	for	ADP
ejpam-1822	184	2	all	all	DET
ejpam-1822	184	3	m	m	PROPN
ejpam-1822	184	4	∈	∈	NOUN
ejpam-1822	184	5	n	n	CCONJ
ejpam-1822	184	6	,	,	PUNCT
ejpam-1822	184	7	we	we	PRON
ejpam-1822	184	8	have	have	VERB
ejpam-1822	184	9	1	1	NUM
ejpam-1822	184	10	λn	λn	NOUN
ejpam-1822	184	11	∑	∑	ADV
ejpam-1822	184	12	k∈in	k∈in	PROPN
ejpam-1822	184	13	|d(x	|d(x	PROPN
ejpam-1822	184	14	,	,	PUNCT
ejpam-1822	184	15	ak+m)−	ak+m)−	ADJ
ejpam-1822	184	16	d(x	d(x	NOUN
ejpam-1822	184	17	,	,	PUNCT
ejpam-1822	184	18	a)|p	a)|p	X
ejpam-1822	184	19	=	=	SYM
ejpam-1822	184	20	1	1	NUM
ejpam-1822	184	21	λn	λn	PROPN
ejpam-1822	184	22	∑	∑	ADV
ejpam-1822	184	23	k∈in	k∈in	PROPN
ejpam-1822	184	24	,	,	PUNCT
ejpam-1822	184	25	k∈k(ε	k∈k(ε	PROPN
ejpam-1822	184	26	)	)	PUNCT
ejpam-1822	184	27	|d(x	|d(x	PROPN
ejpam-1822	184	28	,	,	PUNCT
ejpam-1822	184	29	ak+m)−	ak+m)−	ADJ
ejpam-1822	184	30	d(x	d(x	NOUN
ejpam-1822	184	31	,	,	PUNCT
ejpam-1822	184	32	a)|p	a)|p	NOUN
ejpam-1822	184	33	+	+	CCONJ
ejpam-1822	184	34	1	1	NUM
ejpam-1822	184	35	λn	λn	NOUN
ejpam-1822	184	36	∑	∑	ADV
ejpam-1822	184	37	k∈in	k∈in	PROPN
ejpam-1822	184	38	,	,	PUNCT
ejpam-1822	184	39	k/∈k(ε	k/∈k(ε	PROPN
ejpam-1822	184	40	)	)	PUNCT
ejpam-1822	185	1	|d(x	|d(x	PROPN
ejpam-1822	185	2	,	,	PUNCT
ejpam-1822	185	3	ak+m)−	ak+m)−	ADJ
ejpam-1822	185	4	d(x	d(x	NOUN
ejpam-1822	185	5	,	,	PUNCT
ejpam-1822	185	6	a)|p	a)|p	X
ejpam-1822	185	7	=	=	SYM
ejpam-1822	185	8	t1	t1	PROPN
ejpam-1822	185	9	+	+	X
ejpam-1822	185	10	t2	t2	PROPN
ejpam-1822	185	11	where	where	SCONJ
ejpam-1822	185	12	t1	t1	NOUN
ejpam-1822	185	13	=	=	NOUN
ejpam-1822	185	14	1	1	NUM
ejpam-1822	185	15	λn	λn	PROPN
ejpam-1822	185	16	∑	∑	ADV
ejpam-1822	185	17	k∈in	k∈in	PROPN
ejpam-1822	185	18	,	,	PUNCT
ejpam-1822	185	19	k∈k(ε	k∈k(ε	PROPN
ejpam-1822	185	20	)	)	PUNCT
ejpam-1822	185	21	|d(x	|d(x	PROPN
ejpam-1822	185	22	,	,	PUNCT
ejpam-1822	185	23	ak+m)−	ak+m)−	ADJ
ejpam-1822	185	24	d(x	d(x	NOUN
ejpam-1822	185	25	,	,	PUNCT
ejpam-1822	185	26	a)|p	a)|p	NOUN
ejpam-1822	185	27	and	and	CCONJ
ejpam-1822	185	28	t2	t2	NOUN
ejpam-1822	185	29	=	=	SYM
ejpam-1822	185	30	1	1	NUM
ejpam-1822	185	31	λn	λn	PROPN
ejpam-1822	185	32	∑	∑	ADV
ejpam-1822	185	33	k∈in	k∈in	PROPN
ejpam-1822	185	34	,	,	PUNCT
ejpam-1822	185	35	k/∈k(ε	k/∈k(ε	PROPN
ejpam-1822	185	36	)	)	PUNCT
ejpam-1822	185	37	|d(x	|d(x	PROPN
ejpam-1822	185	38	,	,	PUNCT
ejpam-1822	185	39	ak+m)−	ak+m)−	ADJ
ejpam-1822	185	40	d(x	d(x	NOUN
ejpam-1822	185	41	,	,	PUNCT
ejpam-1822	185	42	a)|p	a)|p	NOUN
ejpam-1822	185	43	.	.	PUNCT
ejpam-1822	186	1	if	if	SCONJ
ejpam-1822	186	2	k	k	PROPN
ejpam-1822	186	3	∈	∈	PROPN
ejpam-1822	186	4	k(ε	k(ε	PROPN
ejpam-1822	186	5	)	)	PUNCT
ejpam-1822	186	6	,	,	PUNCT
ejpam-1822	186	7	then	then	ADV
ejpam-1822	186	8	t2	t2	VERB
ejpam-1822	186	9	<	<	X
ejpam-1822	186	10	ε	ε	PROPN
ejpam-1822	186	11	2	2	NUM
ejpam-1822	186	12	.	.	PUNCT
ejpam-1822	187	1	if	if	SCONJ
ejpam-1822	187	2	k	k	PROPN
ejpam-1822	187	3	/∈	/∈	PUNCT
ejpam-1822	187	4	k(ε	k(ε	PROPN
ejpam-1822	187	5	)	)	PUNCT
ejpam-1822	187	6	,	,	PUNCT
ejpam-1822	187	7	then	then	ADV
ejpam-1822	187	8	t1	t1	PROPN
ejpam-1822	187	9	≤	≤	NUM
ejpam-1822	187	10	(	(	PUNCT
ejpam-1822	187	11	sup	sup	NOUN
ejpam-1822	187	12	k	k	PROPN
ejpam-1822	187	13	,	,	PUNCT
ejpam-1822	187	14	m	m	VERB
ejpam-1822	187	15	|d(x	|d(x	NOUN
ejpam-1822	187	16	,	,	PUNCT
ejpam-1822	187	17	ak+m)−	ak+m)−	ADJ
ejpam-1822	187	18	d(x	d(x	NOUN
ejpam-1822	187	19	,	,	PUNCT
ejpam-1822	187	20	a)|p	a)|p	NOUN
ejpam-1822	187	21	)	)	PUNCT
ejpam-1822	187	22	1	1	NUM
ejpam-1822	187	23	λn	λn	PROPN
ejpam-1822	187	24	|k(ε)|	|k(ε)|	PROPN
ejpam-1822	187	25	≤	≤	ADV
ejpam-1822	187	26	1	1	NUM
ejpam-1822	187	27	λn	λn	NOUN
ejpam-1822	187	28	λnε	λnε	NOUN
ejpam-1822	187	29	2	2	NUM
ejpam-1822	187	30	m	m	NOUN
ejpam-1822	187	31	p	p	NOUN
ejpam-1822	187	32	m	m	NOUN
ejpam-1822	187	33	p	p	NOUN
ejpam-1822	187	34	=	=	PUNCT
ejpam-1822	187	35	ε	ε	PROPN
ejpam-1822	187	36	2	2	NUM
ejpam-1822	187	37	.	.	PUNCT
ejpam-1822	188	1	therefore	therefore	ADV
ejpam-1822	188	2	for	for	ADP
ejpam-1822	188	3	all	all	DET
ejpam-1822	188	4	m	m	NOUN
ejpam-1822	188	5	∈	∈	NOUN
ejpam-1822	188	6	n	n	CCONJ
ejpam-1822	188	7	,	,	PUNCT
ejpam-1822	188	8	we	we	PRON
ejpam-1822	188	9	have	have	VERB
ejpam-1822	188	10	1	1	NUM
ejpam-1822	188	11	λn	λn	NOUN
ejpam-1822	188	12	∑	∑	ADV
ejpam-1822	188	13	k∈in	k∈in	PROPN
ejpam-1822	188	14	|d(x	|d(x	PROPN
ejpam-1822	188	15	,	,	PUNCT
ejpam-1822	188	16	ak+m)−	ak+m)−	ADJ
ejpam-1822	188	17	d(x	d(x	PROPN
ejpam-1822	188	18	,	,	PUNCT
ejpam-1822	188	19	a)|p	a)|p	X
ejpam-1822	188	20	<	<	X
ejpam-1822	188	21	ε	ε	PROPN
ejpam-1822	188	22	.	.	PUNCT
ejpam-1822	189	1	hence	hence	ADV
ejpam-1822	189	2	(	(	PUNCT
ejpam-1822	189	3	ak	ak	PROPN
ejpam-1822	189	4	)	)	PUNCT
ejpam-1822	189	5	is	be	AUX
ejpam-1822	189	6	wijsman	wijsman	VERB
ejpam-1822	189	7	strongly	strongly	ADV
ejpam-1822	189	8	almost	almost	ADV
ejpam-1822	189	9	λp	λp	VERB
ejpam-1822	189	10	-	-	PUNCT
ejpam-1822	189	11	summable	summable	ADJ
ejpam-1822	189	12	to	to	ADP
ejpam-1822	189	13	a.	a.	NOUN
ejpam-1822	189	14	references	reference	NOUN
ejpam-1822	189	15	146	146	NUM
ejpam-1822	189	16	references	reference	NOUN
ejpam-1822	189	17	[	[	X
ejpam-1822	189	18	1	1	NUM
ejpam-1822	189	19	]	]	X
ejpam-1822	189	20	r	r	NOUN
ejpam-1822	189	21	c	c	NOUN
ejpam-1822	189	22	buck	buck	NOUN
ejpam-1822	189	23	.	.	PUNCT
ejpam-1822	190	1	generalized	generalize	VERB
ejpam-1822	190	2	asymptotic	asymptotic	ADJ
ejpam-1822	190	3	density	density	NOUN
ejpam-1822	190	4	.	.	PUNCT
ejpam-1822	191	1	american	american	PROPN
ejpam-1822	191	2	journal	journal	PROPN
ejpam-1822	191	3	of	of	ADP
ejpam-1822	191	4	mathematics	mathematic	NOUN
ejpam-1822	191	5	,	,	PUNCT
ejpam-1822	191	6	75:335	75:335	NUM
ejpam-1822	191	7	–	–	PUNCT
ejpam-1822	191	8	346	346	NUM
ejpam-1822	191	9	,	,	PUNCT
ejpam-1822	191	10	1953	1953	NUM
ejpam-1822	191	11	.	.	PUNCT
ejpam-1822	192	1	[	[	X
ejpam-1822	192	2	2	2	NUM
ejpam-1822	192	3	]	]	PUNCT
ejpam-1822	192	4	h	h	NOUN
ejpam-1822	192	5	fast	fast	ADV
ejpam-1822	192	6	.	.	PUNCT
ejpam-1822	193	1	sur	sur	PROPN
ejpam-1822	193	2	la	la	PROPN
ejpam-1822	193	3	convergence	convergence	NOUN
ejpam-1822	193	4	statistique	statistique	NOUN
ejpam-1822	193	5	.	.	PUNCT
ejpam-1822	194	1	colloquium	colloquium	NOUN
ejpam-1822	194	2	mathematicum	mathematicum	NOUN
ejpam-1822	194	3	,	,	PUNCT
ejpam-1822	194	4	2:241–244	2:241–244	NUM
ejpam-1822	194	5	,	,	PUNCT
ejpam-1822	194	6	1951	1951	NUM
ejpam-1822	194	7	.	.	PUNCT
ejpam-1822	195	1	[	[	X
ejpam-1822	195	2	3	3	X
ejpam-1822	195	3	]	]	PUNCT
ejpam-1822	195	4	a	a	DET
ejpam-1822	195	5	r	r	NOUN
ejpam-1822	195	6	freedman	freedman	PROPN
ejpam-1822	195	7	,	,	PUNCT
ejpam-1822	195	8	j	j	PROPN
ejpam-1822	195	9	j	j	PROPN
ejpam-1822	195	10	sember	sember	PROPN
ejpam-1822	195	11	,	,	PUNCT
ejpam-1822	195	12	and	and	CCONJ
ejpam-1822	195	13	m	m	VERB
ejpam-1822	195	14	rapheal	rapheal	ADJ
ejpam-1822	195	15	.	.	PUNCT
ejpam-1822	196	1	some	some	DET
ejpam-1822	196	2	cesaro	cesaro	ADJ
ejpam-1822	196	3	type	type	NOUN
ejpam-1822	196	4	summability	summability	NOUN
ejpam-1822	196	5	spaces	space	NOUN
ejpam-1822	196	6	.	.	PUNCT
ejpam-1822	197	1	proceedings	proceeding	NOUN
ejpam-1822	197	2	of	of	ADP
ejpam-1822	197	3	the	the	DET
ejpam-1822	197	4	london	london	PROPN
ejpam-1822	197	5	mathematical	mathematical	ADJ
ejpam-1822	197	6	society	society	NOUN
ejpam-1822	197	7	,	,	PUNCT
ejpam-1822	197	8	37(3):508–520	37(3):508–520	NUM
ejpam-1822	197	9	,	,	PUNCT
ejpam-1822	197	10	1978	1978	NUM
ejpam-1822	197	11	.	.	PUNCT
ejpam-1822	198	1	[	[	X
ejpam-1822	198	2	4	4	X
ejpam-1822	198	3	]	]	X
ejpam-1822	198	4	j	j	PROPN
ejpam-1822	198	5	a	a	DET
ejpam-1822	198	6	fridy	fridy	NOUN
ejpam-1822	198	7	.	.	PUNCT
ejpam-1822	199	1	on	on	ADP
ejpam-1822	199	2	statistical	statistical	ADJ
ejpam-1822	199	3	convergence	convergence	NOUN
ejpam-1822	199	4	.	.	PUNCT
ejpam-1822	200	1	analysis	analysis	NOUN
ejpam-1822	200	2	,	,	PUNCT
ejpam-1822	200	3	5(4):301–313	5(4):301–313	NUM
ejpam-1822	200	4	,	,	PUNCT
ejpam-1822	200	5	1985	1985	NUM
ejpam-1822	200	6	.	.	PUNCT
ejpam-1822	201	1	[	[	X
ejpam-1822	201	2	5	5	NUM
ejpam-1822	201	3	]	]	PUNCT
ejpam-1822	201	4	l	l	NOUN
ejpam-1822	201	5	leindler	leindler	NOUN
ejpam-1822	201	6	.	.	PUNCT
ejpam-1822	202	1	über	über	PROPN
ejpam-1822	202	2	die	die	X
ejpam-1822	202	3	de	de	X
ejpam-1822	202	4	la	la	X
ejpam-1822	202	5	vallèe	vallèe	PROPN
ejpam-1822	202	6	-	-	PUNCT
ejpam-1822	202	7	pousinsche	pousinsche	NOUN
ejpam-1822	202	8	summierbarkeit	summierbarkeit	PROPN
ejpam-1822	202	9	allgemeiner	allgemeiner	PROPN
ejpam-1822	202	10	orthogonalreihen	orthogonalreihen	PROPN
ejpam-1822	202	11	.	.	PUNCT
ejpam-1822	203	1	acta	acta	PROPN
ejpam-1822	203	2	mathematica	mathematica	PROPN
ejpam-1822	203	3	academiae	academiae	PROPN
ejpam-1822	203	4	scientiarum	scientiarum	PROPN
ejpam-1822	203	5	hungaricae	hungaricae	PROPN
ejpam-1822	203	6	,	,	PUNCT
ejpam-1822	203	7	16:375–387	16:375–387	NUM
ejpam-1822	203	8	,	,	PUNCT
ejpam-1822	203	9	1965	1965	NUM
ejpam-1822	203	10	.	.	PUNCT
ejpam-1822	204	1	[	[	X
ejpam-1822	204	2	6	6	NUM
ejpam-1822	204	3	]	]	X
ejpam-1822	204	4	g	g	PROPN
ejpam-1822	204	5	g	g	PROPN
ejpam-1822	204	6	lorentz	lorentz	PROPN
ejpam-1822	204	7	.	.	PUNCT
ejpam-1822	205	1	a	a	DET
ejpam-1822	205	2	contribution	contribution	NOUN
ejpam-1822	205	3	to	to	ADP
ejpam-1822	205	4	the	the	DET
ejpam-1822	205	5	theory	theory	NOUN
ejpam-1822	205	6	of	of	ADP
ejpam-1822	205	7	divergent	divergent	ADJ
ejpam-1822	205	8	sequences	sequence	NOUN
ejpam-1822	205	9	.	.	PUNCT
ejpam-1822	206	1	acta	acta	PROPN
ejpam-1822	206	2	mathematica	mathematica	PROPN
ejpam-1822	206	3	,	,	PUNCT
ejpam-1822	206	4	80:167–190	80:167–190	NUM
ejpam-1822	206	5	,	,	PUNCT
ejpam-1822	206	6	1948	1948	NUM
ejpam-1822	206	7	.	.	PUNCT
ejpam-1822	207	1	[	[	X
ejpam-1822	207	2	7	7	X
ejpam-1822	207	3	]	]	X
ejpam-1822	207	4	i	i	PROPN
ejpam-1822	207	5	j	j	PROPN
ejpam-1822	207	6	maddox	maddox	PROPN
ejpam-1822	207	7	.	.	PUNCT
ejpam-1822	208	1	a	a	DET
ejpam-1822	208	2	new	new	ADJ
ejpam-1822	208	3	type	type	NOUN
ejpam-1822	208	4	of	of	ADP
ejpam-1822	208	5	convergence	convergence	NOUN
ejpam-1822	208	6	.	.	PUNCT
ejpam-1822	209	1	mathematical	mathematical	ADJ
ejpam-1822	209	2	proceedings	proceeding	NOUN
ejpam-1822	209	3	of	of	ADP
ejpam-1822	209	4	the	the	DET
ejpam-1822	209	5	cambridge	cambridge	PROPN
ejpam-1822	209	6	philosophical	philosophical	ADJ
ejpam-1822	209	7	society	society	NOUN
ejpam-1822	209	8	,	,	PUNCT
ejpam-1822	209	9	83(1):61–64	83(1):61–64	NUM
ejpam-1822	209	10	,	,	PUNCT
ejpam-1822	209	11	1978	1978	NUM
ejpam-1822	209	12	.	.	PUNCT
ejpam-1822	210	1	[	[	X
ejpam-1822	210	2	8	8	NUM
ejpam-1822	210	3	]	]	X
ejpam-1822	210	4	m	m	VERB
ejpam-1822	210	5	mursaleen	mursaleen	NOUN
ejpam-1822	210	6	.	.	PUNCT
ejpam-1822	211	1	λ	λ	ADJ
ejpam-1822	211	2	-	-	ADJ
ejpam-1822	211	3	statistical	statistical	ADJ
ejpam-1822	211	4	convergence	convergence	NOUN
ejpam-1822	211	5	.	.	PUNCT
ejpam-1822	212	1	mathematica	mathematica	PROPN
ejpam-1822	212	2	slovaca	slovaca	PROPN
ejpam-1822	212	3	,	,	PUNCT
ejpam-1822	212	4	50(1):111–115	50(1):111–115	PROPN
ejpam-1822	212	5	,	,	PUNCT
ejpam-1822	212	6	2000	2000	NUM
ejpam-1822	212	7	.	.	PUNCT
ejpam-1822	213	1	[	[	X
ejpam-1822	213	2	9	9	NUM
ejpam-1822	213	3	]	]	SYM
ejpam-1822	213	4	f	f	PROPN
ejpam-1822	213	5	nuray	nuray	PROPN
ejpam-1822	213	6	and	and	CCONJ
ejpam-1822	213	7	b	b	PROPN
ejpam-1822	213	8	e	e	NOUN
ejpam-1822	213	9	rhoades	rhoade	NOUN
ejpam-1822	213	10	.	.	PUNCT
ejpam-1822	214	1	statistical	statistical	ADJ
ejpam-1822	214	2	convergence	convergence	NOUN
ejpam-1822	214	3	of	of	ADP
ejpam-1822	214	4	sequences	sequence	NOUN
ejpam-1822	214	5	of	of	ADP
ejpam-1822	214	6	sets	set	NOUN
ejpam-1822	214	7	.	.	PUNCT
ejpam-1822	215	1	fasciculi	fasciculi	PROPN
ejpam-1822	215	2	mathematici	mathematici	PROPN
ejpam-1822	215	3	,	,	PUNCT
ejpam-1822	215	4	49:87–99	49:87–99	NUM
ejpam-1822	215	5	,	,	PUNCT
ejpam-1822	215	6	2012	2012	NUM
ejpam-1822	215	7	.	.	PUNCT
ejpam-1822	216	1	[	[	X
ejpam-1822	216	2	10	10	NUM
ejpam-1822	216	3	]	]	X
ejpam-1822	216	4	i	i	PRON
ejpam-1822	216	5	j	j	PROPN
ejpam-1822	216	6	schoenberg	schoenberg	PROPN
ejpam-1822	216	7	.	.	PUNCT
ejpam-1822	217	1	the	the	DET
ejpam-1822	217	2	integrability	integrability	NOUN
ejpam-1822	217	3	of	of	ADP
ejpam-1822	217	4	certain	certain	ADJ
ejpam-1822	217	5	functions	function	NOUN
ejpam-1822	217	6	and	and	CCONJ
ejpam-1822	217	7	related	relate	VERB
ejpam-1822	217	8	summability	summability	NOUN
ejpam-1822	217	9	methods	method	NOUN
ejpam-1822	217	10	.	.	PUNCT
ejpam-1822	218	1	american	american	PROPN
ejpam-1822	218	2	mathematical	mathematical	PROPN
ejpam-1822	218	3	monthly	monthly	PROPN
ejpam-1822	218	4	,	,	PUNCT
ejpam-1822	218	5	66:361–375	66:361–375	PROPN
ejpam-1822	218	6	,	,	PUNCT
ejpam-1822	218	7	1959	1959	NUM
ejpam-1822	218	8	.	.	PUNCT
ejpam-1822	219	1	[	[	X
ejpam-1822	219	2	11	11	NUM
ejpam-1822	219	3	]	]	X
ejpam-1822	219	4	h	h	PROPN
ejpam-1822	219	5	steinhaus	steinhaus	PROPN
ejpam-1822	219	6	.	.	PUNCT
ejpam-1822	220	1	sur	sur	PROPN
ejpam-1822	220	2	la	la	PROPN
ejpam-1822	220	3	convergence	convergence	PROPN
ejpam-1822	220	4	ordinaire	ordinaire	NOUN
ejpam-1822	220	5	et	et	NOUN
ejpam-1822	220	6	la	la	PROPN
ejpam-1822	220	7	convergence	convergence	NOUN
ejpam-1822	220	8	asymptotique	asymptotique	NOUN
ejpam-1822	220	9	.	.	PUNCT
ejpam-1822	221	1	colloquium	colloquium	NOUN
ejpam-1822	221	2	mathematicum	mathematicum	NOUN
ejpam-1822	221	3	,	,	PUNCT
ejpam-1822	221	4	2:73–74	2:73–74	NUM
ejpam-1822	221	5	,	,	PUNCT
ejpam-1822	221	6	1951	1951	NUM
ejpam-1822	221	7	.	.	PUNCT
ejpam-1822	222	1	[	[	X
ejpam-1822	222	2	12	12	NUM
ejpam-1822	222	3	]	]	PUNCT
ejpam-1822	222	4	t	t	PROPN
ejpam-1822	222	5	s̆alát	s̆alát	PROPN
ejpam-1822	222	6	.	.	PUNCT
ejpam-1822	223	1	on	on	ADP
ejpam-1822	223	2	statistically	statistically	ADV
ejpam-1822	223	3	convergent	convergent	ADJ
ejpam-1822	223	4	sequences	sequence	NOUN
ejpam-1822	223	5	of	of	ADP
ejpam-1822	223	6	real	real	ADJ
ejpam-1822	223	7	numbers	number	NOUN
ejpam-1822	223	8	.	.	PUNCT
ejpam-1822	224	1	mathematica	mathematica	PROPN
ejpam-1822	224	2	slovaca	slovaca	PROPN
ejpam-1822	224	3	,	,	PUNCT
ejpam-1822	224	4	30(2):139–150	30(2):139–150	PROPN
ejpam-1822	224	5	,	,	PUNCT
ejpam-1822	224	6	1980	1980	NUM
ejpam-1822	224	7	.	.	PUNCT
ejpam-1822	225	1	[	[	X
ejpam-1822	225	2	13	13	NUM
ejpam-1822	225	3	]	]	PUNCT
ejpam-1822	225	4	a	a	DET
ejpam-1822	225	5	zygmund	zygmund	NOUN
ejpam-1822	225	6	.	.	PUNCT
ejpam-1822	226	1	trigonometric	trigonometric	PROPN
ejpam-1822	226	2	series	series	PROPN
ejpam-1822	226	3	.	.	PUNCT
ejpam-1822	227	1	cambridge	cambridge	PROPN
ejpam-1822	227	2	university	university	PROPN
ejpam-1822	227	3	press	press	PROPN
ejpam-1822	227	4	,	,	PUNCT
ejpam-1822	227	5	cambridge	cambridge	PROPN
ejpam-1822	227	6	,	,	PUNCT
ejpam-1822	227	7	uk	uk	PROPN
ejpam-1822	227	8	,	,	PUNCT
ejpam-1822	227	9	1969	1969	NUM
ejpam-1822	227	10	.	.	PUNCT