id	sid	tid	token	lemma	pos
ejpam-2596	1	1	european	european	PROPN
ejpam-2596	1	2	journal	journal	PROPN
ejpam-2596	1	3	of	of	ADP
ejpam-2596	1	4	pure	pure	ADJ
ejpam-2596	1	5	and	and	CCONJ
ejpam-2596	1	6	applied	apply	VERB
ejpam-2596	1	7	mathematics	mathematic	NOUN
ejpam-2596	1	8	vol	vol	NOUN
ejpam-2596	1	9	.	.	PROPN
ejpam-2596	2	1	9	9	NUM
ejpam-2596	2	2	,	,	PUNCT
ejpam-2596	2	3	no	no	INTJ
ejpam-2596	2	4	.	.	NOUN
ejpam-2596	2	5	4	4	NUM
ejpam-2596	2	6	,	,	PUNCT
ejpam-2596	2	7	2016	2016	NUM
ejpam-2596	2	8	,	,	PUNCT
ejpam-2596	2	9	464	464	NUM
ejpam-2596	2	10	-	-	SYM
ejpam-2596	2	11	478	478	NUM
ejpam-2596	2	12	issn	issn	PROPN
ejpam-2596	2	13	1307	1307	NUM
ejpam-2596	2	14	-	-	SYM
ejpam-2596	2	15	5543	5543	NUM
ejpam-2596	2	16	–	–	PUNCT
ejpam-2596	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2596	2	18	on	on	ADP
ejpam-2596	2	19	g	g	NOUN
ejpam-2596	2	20	-	-	PUNCT
ejpam-2596	2	21	statistical	statistical	ADJ
ejpam-2596	2	22	convergence	convergence	NOUN
ejpam-2596	2	23	in	in	ADP
ejpam-2596	2	24	paranormed	paranorme	VERB
ejpam-2596	2	25	spaces	space	NOUN
ejpam-2596	2	26	kuldip	kuldip	PROPN
ejpam-2596	2	27	raj∗	raj∗	PROPN
ejpam-2596	2	28	,	,	PUNCT
ejpam-2596	2	29	renu	renu	PROPN
ejpam-2596	2	30	anand	anand	PROPN
ejpam-2596	2	31	and	and	CCONJ
ejpam-2596	2	32	seema	seema	PROPN
ejpam-2596	2	33	jamwal	jamwal	PROPN
ejpam-2596	2	34	school	school	PROPN
ejpam-2596	2	35	of	of	ADP
ejpam-2596	2	36	mathematics	mathematic	NOUN
ejpam-2596	2	37	,	,	PUNCT
ejpam-2596	2	38	shri	shri	PROPN
ejpam-2596	2	39	mata	mata	PROPN
ejpam-2596	2	40	vaishno	vaishno	PROPN
ejpam-2596	2	41	devi	devi	PROPN
ejpam-2596	2	42	university	university	PROPN
ejpam-2596	2	43	,	,	PUNCT
ejpam-2596	2	44	katra-182320	katra-182320	NOUN
ejpam-2596	2	45	,	,	PUNCT
ejpam-2596	2	46	j&k	j&k	PROPN
ejpam-2596	2	47	,	,	PUNCT
ejpam-2596	2	48	india	india	PROPN
ejpam-2596	2	49	abstract	abstract	NOUN
ejpam-2596	2	50	.	.	PUNCT
ejpam-2596	3	1	in	in	ADP
ejpam-2596	3	2	this	this	DET
ejpam-2596	3	3	paper	paper	NOUN
ejpam-2596	3	4	we	we	PRON
ejpam-2596	3	5	construct	construct	VERB
ejpam-2596	3	6	some	some	DET
ejpam-2596	3	7	spaces	space	NOUN
ejpam-2596	3	8	of	of	ADP
ejpam-2596	3	9	lacunary	lacunary	ADJ
ejpam-2596	3	10	almost	almost	ADV
ejpam-2596	3	11	convergent	convergent	ADJ
ejpam-2596	3	12	sequences	sequence	NOUN
ejpam-2596	3	13	and	and	CCONJ
ejpam-2596	3	14	lacunary	lacunary	ADJ
ejpam-2596	3	15	strongly	strongly	ADV
ejpam-2596	3	16	almost	almost	ADV
ejpam-2596	3	17	convergent	convergent	ADJ
ejpam-2596	3	18	sequences	sequence	NOUN
ejpam-2596	3	19	via	via	ADP
ejpam-2596	3	20	sequence	sequence	NOUN
ejpam-2596	3	21	of	of	ADP
ejpam-2596	3	22	orlicz	orlicz	ADJ
ejpam-2596	3	23	functions	function	NOUN
ejpam-2596	3	24	over	over	ADP
ejpam-2596	3	25	n	n	ADV
ejpam-2596	3	26	-	-	PUNCT
ejpam-2596	3	27	normed	norme	VERB
ejpam-2596	3	28	spaces	space	NOUN
ejpam-2596	3	29	and	and	CCONJ
ejpam-2596	3	30	established	establish	VERB
ejpam-2596	3	31	some	some	DET
ejpam-2596	3	32	inclusion	inclusion	NOUN
ejpam-2596	3	33	relations	relation	NOUN
ejpam-2596	3	34	between	between	ADP
ejpam-2596	3	35	these	these	DET
ejpam-2596	3	36	spaces	space	NOUN
ejpam-2596	3	37	.	.	PUNCT
ejpam-2596	4	1	we	we	PRON
ejpam-2596	4	2	also	also	ADV
ejpam-2596	4	3	make	make	VERB
ejpam-2596	4	4	an	an	DET
ejpam-2596	4	5	effort	effort	NOUN
ejpam-2596	4	6	to	to	PART
ejpam-2596	4	7	define	define	VERB
ejpam-2596	4	8	a	a	DET
ejpam-2596	4	9	new	new	ADJ
ejpam-2596	4	10	concept	concept	NOUN
ejpam-2596	4	11	called	call	VERB
ejpam-2596	4	12	g	g	NOUN
ejpam-2596	4	13	-	-	PUNCT
ejpam-2596	4	14	statistical	statistical	ADJ
ejpam-2596	4	15	convergence	convergence	NOUN
ejpam-2596	4	16	in	in	ADP
ejpam-2596	4	17	paranormed	paranorme	VERB
ejpam-2596	4	18	spaces	space	NOUN
ejpam-2596	4	19	where	where	SCONJ
ejpam-2596	4	20	the	the	DET
ejpam-2596	4	21	base	base	NOUN
ejpam-2596	4	22	space	space	NOUN
ejpam-2596	4	23	is	be	AUX
ejpam-2596	4	24	a	a	DET
ejpam-2596	4	25	n	n	ADV
ejpam-2596	4	26	-	-	PUNCT
ejpam-2596	4	27	normed	norme	VERB
ejpam-2596	4	28	spaces	space	NOUN
ejpam-2596	4	29	.	.	PUNCT
ejpam-2596	5	1	2010	2010	NUM
ejpam-2596	5	2	mathematics	mathematic	NOUN
ejpam-2596	5	3	subject	subject	NOUN
ejpam-2596	5	4	classifications	classification	NOUN
ejpam-2596	5	5	:	:	PUNCT
ejpam-2596	5	6	40f05	40f05	NUM
ejpam-2596	5	7	,	,	PUNCT
ejpam-2596	5	8	46a45,40a05	46a45,40a05	NUM
ejpam-2596	5	9	,	,	PUNCT
ejpam-2596	5	10	40a30	40a30	NUM
ejpam-2596	5	11	key	key	ADJ
ejpam-2596	5	12	words	word	NOUN
ejpam-2596	5	13	and	and	CCONJ
ejpam-2596	5	14	phrases	phrase	NOUN
ejpam-2596	5	15	:	:	PUNCT
ejpam-2596	5	16	strongly	strongly	ADV
ejpam-2596	5	17	almost	almost	ADV
ejpam-2596	5	18	convergence	convergence	NOUN
ejpam-2596	5	19	,	,	PUNCT
ejpam-2596	5	20	almost	almost	ADV
ejpam-2596	5	21	convergence	convergence	NOUN
ejpam-2596	5	22	,	,	PUNCT
ejpam-2596	5	23	n	n	CCONJ
ejpam-2596	5	24	-	-	PUNCT
ejpam-2596	5	25	norm	norm	NOUN
ejpam-2596	5	26	,	,	PUNCT
ejpam-2596	5	27	g	g	NOUN
ejpam-2596	5	28	-	-	PUNCT
ejpam-2596	5	29	statistical	statistical	ADJ
ejpam-2596	5	30	convergence	convergence	NOUN
ejpam-2596	5	31	,	,	PUNCT
ejpam-2596	5	32	strongly	strongly	ADV
ejpam-2596	5	33	p	p	ADJ
ejpam-2596	5	34	-	-	PUNCT
ejpam-2596	5	35	cesaro	cesaro	NOUN
ejpam-2596	5	36	summability	summability	NOUN
ejpam-2596	5	37	,	,	PUNCT
ejpam-2596	5	38	orlicz	orlicz	NOUN
ejpam-2596	5	39	function	function	VERB
ejpam-2596	5	40	1	1	NUM
ejpam-2596	5	41	.	.	PUNCT
ejpam-2596	6	1	introduction	introduction	NOUN
ejpam-2596	6	2	and	and	CCONJ
ejpam-2596	6	3	preliminaries	preliminary	NOUN
ejpam-2596	6	4	in	in	ADP
ejpam-2596	6	5	[	[	X
ejpam-2596	6	6	13	13	NUM
ejpam-2596	6	7	]	]	PUNCT
ejpam-2596	6	8	gähler	gähler	NOUN
ejpam-2596	6	9	introduced	introduce	VERB
ejpam-2596	6	10	an	an	DET
ejpam-2596	6	11	attractive	attractive	ADJ
ejpam-2596	6	12	theory	theory	NOUN
ejpam-2596	6	13	of	of	ADP
ejpam-2596	6	14	2	2	NUM
ejpam-2596	6	15	-	-	PUNCT
ejpam-2596	6	16	normed	norme	VERB
ejpam-2596	6	17	spaces	space	NOUN
ejpam-2596	6	18	.	.	PUNCT
ejpam-2596	7	1	the	the	DET
ejpam-2596	7	2	notion	notion	NOUN
ejpam-2596	7	3	was	be	AUX
ejpam-2596	7	4	further	far	ADV
ejpam-2596	7	5	generalized	generalize	VERB
ejpam-2596	7	6	by	by	ADP
ejpam-2596	7	7	misiak	misiak	PROPN
ejpam-2596	7	8	[	[	X
ejpam-2596	7	9	21	21	NUM
ejpam-2596	7	10	]	]	PUNCT
ejpam-2596	7	11	by	by	ADP
ejpam-2596	7	12	introducing	introduce	VERB
ejpam-2596	7	13	n	n	CCONJ
ejpam-2596	7	14	-	-	PUNCT
ejpam-2596	7	15	normed	norme	VERB
ejpam-2596	7	16	spaces	space	NOUN
ejpam-2596	7	17	.	.	PUNCT
ejpam-2596	8	1	since	since	SCONJ
ejpam-2596	8	2	then	then	ADV
ejpam-2596	8	3	these	these	DET
ejpam-2596	8	4	spaces	space	NOUN
ejpam-2596	8	5	were	be	AUX
ejpam-2596	8	6	studied	study	VERB
ejpam-2596	8	7	by	by	ADP
ejpam-2596	8	8	gunawan	gunawan	PROPN
ejpam-2596	8	9	[	[	X
ejpam-2596	8	10	14	14	NUM
ejpam-2596	8	11	,	,	PUNCT
ejpam-2596	8	12	15	15	NUM
ejpam-2596	8	13	]	]	PUNCT
ejpam-2596	8	14	.	.	PUNCT
ejpam-2596	9	1	in	in	ADP
ejpam-2596	9	2	[	[	X
ejpam-2596	9	3	16	16	NUM
ejpam-2596	9	4	]	]	X
ejpam-2596	9	5	gunawan	gunawan	PROPN
ejpam-2596	9	6	and	and	CCONJ
ejpam-2596	9	7	mashadi	mashadi	NOUN
ejpam-2596	9	8	gave	give	VERB
ejpam-2596	9	9	a	a	DET
ejpam-2596	9	10	simple	simple	ADJ
ejpam-2596	9	11	way	way	NOUN
ejpam-2596	9	12	to	to	PART
ejpam-2596	9	13	derive	derive	VERB
ejpam-2596	9	14	an	an	DET
ejpam-2596	9	15	(	(	PUNCT
ejpam-2596	9	16	n−	n−	NOUN
ejpam-2596	9	17	1)-norm	1)-norm	NUM
ejpam-2596	9	18	from	from	ADP
ejpam-2596	9	19	the	the	DET
ejpam-2596	9	20	n	n	NOUN
ejpam-2596	9	21	-	-	PUNCT
ejpam-2596	9	22	norm	norm	NOUN
ejpam-2596	9	23	and	and	CCONJ
ejpam-2596	9	24	realized	realize	VERB
ejpam-2596	9	25	that	that	SCONJ
ejpam-2596	9	26	n	n	NOUN
ejpam-2596	9	27	-	-	PUNCT
ejpam-2596	9	28	normed	norme	VERB
ejpam-2596	9	29	space	space	NOUN
ejpam-2596	9	30	is	be	AUX
ejpam-2596	9	31	an	an	DET
ejpam-2596	9	32	(	(	PUNCT
ejpam-2596	9	33	n−	n−	NOUN
ejpam-2596	9	34	1)-normed	1)-normed	NUM
ejpam-2596	9	35	space	space	NOUN
ejpam-2596	9	36	.	.	PUNCT
ejpam-2596	10	1	definition	definition	NOUN
ejpam-2596	10	2	1	1	NUM
ejpam-2596	10	3	.	.	PUNCT
ejpam-2596	11	1	let	let	VERB
ejpam-2596	11	2	n	n	PRON
ejpam-2596	11	3	∈	∈	PROPN
ejpam-2596	11	4	n	n	NOUN
ejpam-2596	11	5	and	and	CCONJ
ejpam-2596	11	6	x	x	AUX
ejpam-2596	11	7	be	be	AUX
ejpam-2596	11	8	a	a	DET
ejpam-2596	11	9	linear	linear	ADJ
ejpam-2596	11	10	space	space	NOUN
ejpam-2596	11	11	over	over	ADP
ejpam-2596	11	12	the	the	DET
ejpam-2596	11	13	field	field	NOUN
ejpam-2596	11	14	r	r	NOUN
ejpam-2596	11	15	of	of	ADP
ejpam-2596	11	16	real	real	NOUN
ejpam-2596	11	17	of	of	ADP
ejpam-2596	11	18	dimension	dimension	NOUN
ejpam-2596	12	1	d	d	NOUN
ejpam-2596	12	2	,	,	PUNCT
ejpam-2596	12	3	where	where	SCONJ
ejpam-2596	12	4	d	d	NOUN
ejpam-2596	12	5	≥	≥	X
ejpam-2596	12	6	n≥	n≥	NOUN
ejpam-2596	12	7	2	2	NUM
ejpam-2596	12	8	.	.	PUNCT
ejpam-2596	12	9	a	a	DET
ejpam-2596	12	10	real	real	ADV
ejpam-2596	12	11	valued	value	VERB
ejpam-2596	12	12	function	function	NOUN
ejpam-2596	12	13	||	||	PROPN
ejpam-2596	12	14	·	·	PUNCT
ejpam-2596	12	15	,	,	PUNCT
ejpam-2596	12	16	.	.	PUNCT
ejpam-2596	12	17	.	.	PUNCT
ejpam-2596	12	18	.	.	PUNCT
ejpam-2596	13	1	,	,	PUNCT
ejpam-2596	13	2	·	·	PUNCT
ejpam-2596	13	3	||	||	NOUN
ejpam-2596	13	4	on	on	ADP
ejpam-2596	13	5	x	x	SYM
ejpam-2596	13	6	n	n	X
ejpam-2596	13	7	satisfying	satisfy	VERB
ejpam-2596	13	8	the	the	DET
ejpam-2596	13	9	following	follow	VERB
ejpam-2596	13	10	conditions	condition	NOUN
ejpam-2596	13	11	:	:	PUNCT
ejpam-2596	13	12	(	(	PUNCT
ejpam-2596	13	13	i	i	NOUN
ejpam-2596	13	14	)	)	PUNCT
ejpam-2596	14	1	||x1	||x1	ADJ
ejpam-2596	14	2	,	,	PUNCT
ejpam-2596	14	3	x2	x2	PROPN
ejpam-2596	14	4	,	,	PUNCT
ejpam-2596	14	5	.	.	PUNCT
ejpam-2596	14	6	.	.	PUNCT
ejpam-2596	14	7	.	.	PUNCT
ejpam-2596	15	1	,	,	PUNCT
ejpam-2596	15	2	xn||=	xn||=	NOUN
ejpam-2596	15	3	0	0	PUNCT
ejpam-2596	16	1	if	if	SCONJ
ejpam-2596	16	2	and	and	CCONJ
ejpam-2596	16	3	only	only	ADV
ejpam-2596	16	4	if	if	SCONJ
ejpam-2596	16	5	x1	x1	PROPN
ejpam-2596	16	6	,	,	PUNCT
ejpam-2596	16	7	x2	x2	PROPN
ejpam-2596	16	8	,	,	PUNCT
ejpam-2596	16	9	.	.	PUNCT
ejpam-2596	16	10	.	.	PUNCT
ejpam-2596	17	1	.	.	PUNCT
ejpam-2596	18	1	,	,	PUNCT
ejpam-2596	18	2	xn	xn	PROPN
ejpam-2596	18	3	are	be	AUX
ejpam-2596	18	4	linearly	linearly	ADV
ejpam-2596	18	5	dependent	dependent	ADJ
ejpam-2596	18	6	in	in	ADP
ejpam-2596	18	7	x	x	SYM
ejpam-2596	18	8	;	;	PUNCT
ejpam-2596	18	9	(	(	PUNCT
ejpam-2596	18	10	ii	ii	NOUN
ejpam-2596	18	11	)	)	PUNCT
ejpam-2596	18	12	||x1	||x1	PROPN
ejpam-2596	18	13	,	,	PUNCT
ejpam-2596	18	14	x2	x2	PROPN
ejpam-2596	18	15	,	,	PUNCT
ejpam-2596	18	16	.	.	PUNCT
ejpam-2596	18	17	.	.	PUNCT
ejpam-2596	19	1	.	.	PUNCT
ejpam-2596	20	1	,	,	PUNCT
ejpam-2596	20	2	xn||	xn||	PROPN
ejpam-2596	20	3	is	be	AUX
ejpam-2596	20	4	invariant	invariant	ADJ
ejpam-2596	20	5	under	under	ADP
ejpam-2596	20	6	permutation	permutation	NOUN
ejpam-2596	20	7	;	;	PUNCT
ejpam-2596	20	8	(	(	PUNCT
ejpam-2596	20	9	iii	iii	NOUN
ejpam-2596	20	10	)	)	PUNCT
ejpam-2596	20	11	||αx1	||αx1	NUM
ejpam-2596	20	12	,	,	PUNCT
ejpam-2596	20	13	x2	x2	PROPN
ejpam-2596	20	14	,	,	PUNCT
ejpam-2596	20	15	.	.	PUNCT
ejpam-2596	20	16	.	.	PUNCT
ejpam-2596	21	1	.	.	PUNCT
ejpam-2596	22	1	,	,	PUNCT
ejpam-2596	22	2	xn||=	xn||=	PROPN
ejpam-2596	22	3	|α|||x1	|α|||x1	PROPN
ejpam-2596	22	4	,	,	PUNCT
ejpam-2596	22	5	x2	x2	PROPN
ejpam-2596	22	6	,	,	PUNCT
ejpam-2596	22	7	.	.	PUNCT
ejpam-2596	22	8	.	.	PUNCT
ejpam-2596	22	9	.	.	PUNCT
ejpam-2596	23	1	,	,	PUNCT
ejpam-2596	23	2	xn||	xn||	PROPN
ejpam-2596	23	3	for	for	ADP
ejpam-2596	23	4	any	any	DET
ejpam-2596	23	5	α	α	NOUN
ejpam-2596	23	6	∈	∈	NOUN
ejpam-2596	23	7	r	r	NOUN
ejpam-2596	23	8	,	,	PUNCT
ejpam-2596	23	9	and	and	CCONJ
ejpam-2596	23	10	(	(	PUNCT
ejpam-2596	23	11	iv	iv	X
ejpam-2596	23	12	)	)	PUNCT
ejpam-2596	23	13	||x	||x	NOUN
ejpam-2596	23	14	+	+	CCONJ
ejpam-2596	23	15	x	x	SYM
ejpam-2596	23	16	′	′	NUM
ejpam-2596	23	17	,	,	PUNCT
ejpam-2596	23	18	x2	x2	PROPN
ejpam-2596	23	19	,	,	PUNCT
ejpam-2596	23	20	.	.	PUNCT
ejpam-2596	23	21	.	.	PUNCT
ejpam-2596	24	1	.	.	PUNCT
ejpam-2596	25	1	,	,	PUNCT
ejpam-2596	25	2	xn||	xn||	X
ejpam-2596	26	1	≤	≤	ADJ
ejpam-2596	26	2	||x	||x	NOUN
ejpam-2596	26	3	,	,	PUNCT
ejpam-2596	26	4	x2	x2	PROPN
ejpam-2596	26	5	,	,	PUNCT
ejpam-2596	26	6	.	.	PUNCT
ejpam-2596	26	7	.	.	PUNCT
ejpam-2596	26	8	.	.	PUNCT
ejpam-2596	27	1	,	,	PUNCT
ejpam-2596	27	2	xn||+	xn||+	PROPN
ejpam-2596	27	3	||x	||x	PROPN
ejpam-2596	27	4	′	′	NOUN
ejpam-2596	27	5	,	,	PUNCT
ejpam-2596	27	6	x2	x2	PROPN
ejpam-2596	27	7	,	,	PUNCT
ejpam-2596	27	8	.	.	PUNCT
ejpam-2596	27	9	.	.	PUNCT
ejpam-2596	27	10	.	.	PUNCT
ejpam-2596	28	1	,	,	PUNCT
ejpam-2596	28	2	xn||	xn||	PROPN
ejpam-2596	28	3	is	be	AUX
ejpam-2596	28	4	called	call	VERB
ejpam-2596	28	5	a	a	DET
ejpam-2596	28	6	n	n	NOUN
ejpam-2596	28	7	-	-	PUNCT
ejpam-2596	28	8	norm	norm	NOUN
ejpam-2596	28	9	on	on	ADP
ejpam-2596	28	10	x	x	X
ejpam-2596	28	11	and	and	CCONJ
ejpam-2596	28	12	the	the	DET
ejpam-2596	28	13	pair	pair	NOUN
ejpam-2596	28	14	(	(	PUNCT
ejpam-2596	28	15	x	x	X
ejpam-2596	28	16	,	,	PUNCT
ejpam-2596	28	17	||	||	NOUN
ejpam-2596	28	18	.	.	PUNCT
ejpam-2596	28	19	.	.	PUNCT
ejpam-2596	28	20	.	.	PUNCT
ejpam-2596	29	1	||	||	X
ejpam-2596	29	2	)	)	PUNCT
ejpam-2596	29	3	a	a	DET
ejpam-2596	29	4	n	n	ADV
ejpam-2596	29	5	-	-	PUNCT
ejpam-2596	29	6	normed	norme	VERB
ejpam-2596	29	7	space	space	NOUN
ejpam-2596	29	8	over	over	ADP
ejpam-2596	29	9	the	the	DET
ejpam-2596	29	10	field	field	NOUN
ejpam-2596	29	11	r.	r.	PROPN
ejpam-2596	29	12	∗corresponding	∗corresponde	VERB
ejpam-2596	29	13	author	author	NOUN
ejpam-2596	29	14	.	.	PUNCT
ejpam-2596	30	1	email	email	NOUN
ejpam-2596	30	2	address	address	NOUN
ejpam-2596	30	3	:	:	PUNCT
ejpam-2596	30	4	kuldipraj68@gmail.com	kuldipraj68@gmail.com	X
ejpam-2596	30	5	(	(	PUNCT
ejpam-2596	30	6	kuldip	kuldip	PROPN
ejpam-2596	30	7	raj	raj	PROPN
ejpam-2596	30	8	)	)	PUNCT
ejpam-2596	30	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2596	31	1	464	464	NUM
ejpam-2596	32	1	c	c	X
ejpam-2596	32	2	©	©	PROPN
ejpam-2596	32	3	2016	2016	NUM
ejpam-2596	32	4	ejpam	ejpam	VERB
ejpam-2596	32	5	all	all	DET
ejpam-2596	32	6	rights	right	NOUN
ejpam-2596	32	7	reserved	reserve	VERB
ejpam-2596	32	8	.	.	PUNCT
ejpam-2596	33	1	k.	k.	PROPN
ejpam-2596	33	2	raj	raj	PROPN
ejpam-2596	33	3	,	,	PUNCT
ejpam-2596	33	4	r.	r.	PROPN
ejpam-2596	33	5	anand	anand	PROPN
ejpam-2596	33	6	,	,	PUNCT
ejpam-2596	33	7	s.	s.	PROPN
ejpam-2596	33	8	jamwal	jamwal	PROPN
ejpam-2596	33	9	/	/	SYM
ejpam-2596	33	10	eur	eur	PROPN
ejpam-2596	33	11	.	.	PUNCT
ejpam-2596	34	1	j.	j.	PROPN
ejpam-2596	34	2	pure	pure	PROPN
ejpam-2596	34	3	appl	appl	PROPN
ejpam-2596	34	4	.	.	PROPN
ejpam-2596	34	5	math	math	PROPN
ejpam-2596	34	6	,	,	PUNCT
ejpam-2596	34	7	9	9	NUM
ejpam-2596	34	8	(	(	PUNCT
ejpam-2596	34	9	2016	2016	NUM
ejpam-2596	34	10	)	)	PUNCT
ejpam-2596	34	11	,	,	PUNCT
ejpam-2596	34	12	464	464	NUM
ejpam-2596	34	13	-	-	SYM
ejpam-2596	34	14	478	478	NUM
ejpam-2596	34	15	465	465	NUM
ejpam-2596	34	16	example	example	NOUN
ejpam-2596	34	17	1	1	NUM
ejpam-2596	34	18	.	.	PUNCT
ejpam-2596	35	1	let	let	VERB
ejpam-2596	35	2	x	x	PUNCT
ejpam-2596	35	3	=	=	SYM
ejpam-2596	35	4	rn	rn	PROPN
ejpam-2596	35	5	being	be	AUX
ejpam-2596	35	6	equipped	equip	VERB
ejpam-2596	35	7	with	with	ADP
ejpam-2596	35	8	the	the	DET
ejpam-2596	35	9	euclidean	euclidean	ADJ
ejpam-2596	35	10	n	n	CCONJ
ejpam-2596	35	11	-	-	PUNCT
ejpam-2596	35	12	norm	norm	NOUN
ejpam-2596	35	13	||x1	||x1	NOUN
ejpam-2596	35	14	,	,	PUNCT
ejpam-2596	35	15	x2	x2	PROPN
ejpam-2596	35	16	,	,	PUNCT
ejpam-2596	35	17	.	.	PUNCT
ejpam-2596	35	18	.	.	PUNCT
ejpam-2596	36	1	.	.	PUNCT
ejpam-2596	37	1	,	,	PUNCT
ejpam-2596	37	2	xn||e	xn||e	PROPN
ejpam-2596	38	1	=	=	PUNCT
ejpam-2596	39	1	the	the	DET
ejpam-2596	39	2	volume	volume	NOUN
ejpam-2596	39	3	of	of	ADP
ejpam-2596	39	4	the	the	DET
ejpam-2596	39	5	n	n	ADV
ejpam-2596	39	6	-	-	PUNCT
ejpam-2596	39	7	dimensional	dimensional	ADJ
ejpam-2596	39	8	parallelopiped	parallelopipe	VERB
ejpam-2596	39	9	spanned	span	VERB
ejpam-2596	39	10	by	by	ADP
ejpam-2596	39	11	the	the	DET
ejpam-2596	39	12	vectors	vector	NOUN
ejpam-2596	39	13	x1	x1	PROPN
ejpam-2596	39	14	,	,	PUNCT
ejpam-2596	39	15	x2	x2	PROPN
ejpam-2596	39	16	,	,	PUNCT
ejpam-2596	39	17	.	.	PUNCT
ejpam-2596	39	18	.	.	PUNCT
ejpam-2596	39	19	.	.	PUNCT
ejpam-2596	40	1	,	,	PUNCT
ejpam-2596	40	2	xn	xn	NUM
ejpam-2596	40	3	which	which	PRON
ejpam-2596	40	4	may	may	AUX
ejpam-2596	40	5	be	be	AUX
ejpam-2596	40	6	given	give	VERB
ejpam-2596	40	7	explicitly	explicitly	ADV
ejpam-2596	40	8	by	by	ADP
ejpam-2596	40	9	the	the	DET
ejpam-2596	40	10	formula	formula	NOUN
ejpam-2596	40	11	||x1	||x1	NOUN
ejpam-2596	40	12	,	,	PUNCT
ejpam-2596	40	13	x2	x2	PROPN
ejpam-2596	40	14	,	,	PUNCT
ejpam-2596	40	15	.	.	PUNCT
ejpam-2596	40	16	.	.	PUNCT
ejpam-2596	41	1	.	.	PUNCT
ejpam-2596	42	1	,	,	PUNCT
ejpam-2596	42	2	xn||e	xn||e	PROPN
ejpam-2596	43	1	=	=	PUNCT
ejpam-2596	44	1	|det(x	|det(x	PROPN
ejpam-2596	45	1	i	i	PRON
ejpam-2596	45	2	j)|	j)|	VERB
ejpam-2596	45	3	,	,	PUNCT
ejpam-2596	45	4	where	where	SCONJ
ejpam-2596	45	5	x	x	X
ejpam-2596	45	6	i	i	NOUN
ejpam-2596	45	7	=	=	SYM
ejpam-2596	45	8	(	(	PUNCT
ejpam-2596	45	9	x	x	PROPN
ejpam-2596	45	10	i1	i1	PROPN
ejpam-2596	45	11	,	,	PUNCT
ejpam-2596	45	12	x	x	PROPN
ejpam-2596	45	13	i2	i2	PROPN
ejpam-2596	45	14	,	,	PUNCT
ejpam-2596	45	15	.	.	PUNCT
ejpam-2596	45	16	.	.	PUNCT
ejpam-2596	45	17	.	.	PUNCT
ejpam-2596	46	1	,	,	PUNCT
ejpam-2596	46	2	x	x	X
ejpam-2596	46	3	in	in	ADP
ejpam-2596	46	4	)	)	PUNCT
ejpam-2596	46	5	∈	∈	PROPN
ejpam-2596	46	6	rn	rn	PROPN
ejpam-2596	46	7	for	for	ADP
ejpam-2596	46	8	each	each	DET
ejpam-2596	46	9	i	i	NOUN
ejpam-2596	46	10	=	=	NOUN
ejpam-2596	46	11	1	1	NUM
ejpam-2596	46	12	,	,	PUNCT
ejpam-2596	46	13	2	2	NUM
ejpam-2596	46	14	,	,	PUNCT
ejpam-2596	46	15	.	.	PUNCT
ejpam-2596	46	16	.	.	PUNCT
ejpam-2596	47	1	.	.	PUNCT
ejpam-2596	48	1	,	,	PUNCT
ejpam-2596	48	2	n.	n.	PROPN
ejpam-2596	48	3	let	let	VERB
ejpam-2596	48	4	(	(	PUNCT
ejpam-2596	48	5	x	x	X
ejpam-2596	48	6	,	,	PUNCT
ejpam-2596	48	7	||	||	NOUN
ejpam-2596	48	8	.	.	PUNCT
ejpam-2596	48	9	.	.	PUNCT
ejpam-2596	48	10	.	.	PUNCT
ejpam-2596	49	1	||	||	X
ejpam-2596	49	2	)	)	PUNCT
ejpam-2596	49	3	be	be	VERB
ejpam-2596	49	4	a	a	DET
ejpam-2596	49	5	n	n	ADV
ejpam-2596	49	6	-	-	PUNCT
ejpam-2596	49	7	normed	norme	VERB
ejpam-2596	49	8	space	space	NOUN
ejpam-2596	49	9	of	of	ADP
ejpam-2596	49	10	dimension	dimension	NOUN
ejpam-2596	50	1	d	d	PROPN
ejpam-2596	50	2	≥	≥	NUM
ejpam-2596	50	3	n	n	CCONJ
ejpam-2596	50	4	≥	≥	NUM
ejpam-2596	50	5	2	2	NUM
ejpam-2596	50	6	and	and	CCONJ
ejpam-2596	50	7	{	{	PUNCT
ejpam-2596	50	8	a1	a1	PROPN
ejpam-2596	50	9	,	,	PUNCT
ejpam-2596	50	10	a2	a2	PROPN
ejpam-2596	50	11	,	,	PUNCT
ejpam-2596	50	12	.	.	PUNCT
ejpam-2596	50	13	.	.	PUNCT
ejpam-2596	50	14	.	.	PUNCT
ejpam-2596	51	1	,	,	PUNCT
ejpam-2596	51	2	an	an	DET
ejpam-2596	51	3	}	}	PUNCT
ejpam-2596	51	4	be	be	AUX
ejpam-2596	51	5	linearly	linearly	ADV
ejpam-2596	51	6	independent	independent	ADJ
ejpam-2596	51	7	set	set	NOUN
ejpam-2596	51	8	in	in	ADP
ejpam-2596	51	9	x	x	X
ejpam-2596	51	10	.	.	PUNCT
ejpam-2596	52	1	then	then	ADV
ejpam-2596	52	2	the	the	DET
ejpam-2596	52	3	following	follow	VERB
ejpam-2596	52	4	function	function	NOUN
ejpam-2596	52	5	||	||	ADV
ejpam-2596	52	6	.	.	PUNCT
ejpam-2596	52	7	.	.	PUNCT
ejpam-2596	52	8	.	.	PUNCT
ejpam-2596	53	1	||∞	||∞	NOUN
ejpam-2596	53	2	on	on	ADP
ejpam-2596	53	3	x	x	SYM
ejpam-2596	53	4	n−1	n−1	PROPN
ejpam-2596	53	5	defined	define	VERB
ejpam-2596	53	6	by	by	ADP
ejpam-2596	53	7	||x1	||x1	ADJ
ejpam-2596	53	8	,	,	PUNCT
ejpam-2596	53	9	x2	x2	PROPN
ejpam-2596	53	10	,	,	PUNCT
ejpam-2596	53	11	.	.	PUNCT
ejpam-2596	53	12	.	.	PUNCT
ejpam-2596	53	13	.	.	PUNCT
ejpam-2596	54	1	,	,	PUNCT
ejpam-2596	54	2	xn−1||∞	xn−1||∞	PUNCT
ejpam-2596	55	1	=	=	PRON
ejpam-2596	55	2	max{||x1	max{||x1	ADV
ejpam-2596	55	3	,	,	PUNCT
ejpam-2596	55	4	x2	x2	PROPN
ejpam-2596	55	5	,	,	PUNCT
ejpam-2596	55	6	.	.	PUNCT
ejpam-2596	55	7	.	.	PUNCT
ejpam-2596	55	8	.	.	PUNCT
ejpam-2596	56	1	,	,	PUNCT
ejpam-2596	56	2	xn−1	xn−1	PROPN
ejpam-2596	56	3	,	,	PUNCT
ejpam-2596	56	4	ai||	ai||	NOUN
ejpam-2596	56	5	:	:	PUNCT
ejpam-2596	56	6	i	i	NOUN
ejpam-2596	56	7	=	=	SYM
ejpam-2596	56	8	1,2	1,2	NUM
ejpam-2596	56	9	,	,	PUNCT
ejpam-2596	56	10	.	.	PUNCT
ejpam-2596	56	11	.	.	PUNCT
ejpam-2596	57	1	.	.	PUNCT
ejpam-2596	58	1	,	,	PUNCT
ejpam-2596	58	2	n	n	CCONJ
ejpam-2596	58	3	}	}	PUNCT
ejpam-2596	58	4	defines	define	VERB
ejpam-2596	58	5	an	an	DET
ejpam-2596	58	6	(	(	PUNCT
ejpam-2596	58	7	n−	n−	NOUN
ejpam-2596	58	8	1)-norm	1)-norm	NUM
ejpam-2596	58	9	on	on	ADP
ejpam-2596	58	10	x	x	PUNCT
ejpam-2596	58	11	with	with	ADP
ejpam-2596	58	12	respect	respect	NOUN
ejpam-2596	58	13	to	to	ADP
ejpam-2596	58	14	{	{	PUNCT
ejpam-2596	58	15	a1	a1	PROPN
ejpam-2596	58	16	,	,	PUNCT
ejpam-2596	58	17	a2	a2	PROPN
ejpam-2596	58	18	,	,	PUNCT
ejpam-2596	58	19	.	.	PUNCT
ejpam-2596	58	20	.	.	PUNCT
ejpam-2596	59	1	.	.	PUNCT
ejpam-2596	60	1	,	,	PUNCT
ejpam-2596	60	2	an	an	PRON
ejpam-2596	60	3	}	}	PUNCT
ejpam-2596	60	4	.	.	PUNCT
ejpam-2596	61	1	a	a	DET
ejpam-2596	61	2	sequence	sequence	NOUN
ejpam-2596	61	3	(	(	PUNCT
ejpam-2596	61	4	xk	xk	PROPN
ejpam-2596	61	5	)	)	PUNCT
ejpam-2596	61	6	in	in	ADP
ejpam-2596	61	7	a	a	DET
ejpam-2596	61	8	n	n	ADV
ejpam-2596	61	9	-	-	PUNCT
ejpam-2596	61	10	normed	norme	VERB
ejpam-2596	61	11	space	space	NOUN
ejpam-2596	61	12	(	(	PUNCT
ejpam-2596	61	13	x	x	X
ejpam-2596	61	14	,	,	PUNCT
ejpam-2596	61	15	||	||	NOUN
ejpam-2596	61	16	.	.	PUNCT
ejpam-2596	61	17	.	.	PUNCT
ejpam-2596	61	18	.	.	PUNCT
ejpam-2596	62	1	||	||	X
ejpam-2596	62	2	)	)	PUNCT
ejpam-2596	62	3	is	be	AUX
ejpam-2596	62	4	said	say	VERB
ejpam-2596	62	5	to	to	PART
ejpam-2596	62	6	converge	converge	VERB
ejpam-2596	62	7	to	to	ADP
ejpam-2596	62	8	some	some	DET
ejpam-2596	62	9	l	l	NOUN
ejpam-2596	62	10	∈	∈	NOUN
ejpam-2596	62	11	x	x	X
ejpam-2596	62	12	if	if	SCONJ
ejpam-2596	62	13	lim	lim	PROPN
ejpam-2596	62	14	k→∞	k→∞	NOUN
ejpam-2596	62	15	||xk	||xk	VERB
ejpam-2596	62	16	−	−	PROPN
ejpam-2596	62	17	l	l	NOUN
ejpam-2596	62	18	,	,	PUNCT
ejpam-2596	62	19	z1	z1	NOUN
ejpam-2596	62	20	,	,	PUNCT
ejpam-2596	62	21	.	.	PUNCT
ejpam-2596	62	22	.	.	PUNCT
ejpam-2596	63	1	.	.	PUNCT
ejpam-2596	64	1	,	,	PUNCT
ejpam-2596	64	2	zn−1||=	zn−1||=	NOUN
ejpam-2596	64	3	0	0	NUM
ejpam-2596	64	4	for	for	ADP
ejpam-2596	64	5	every	every	DET
ejpam-2596	64	6	z1	z1	NOUN
ejpam-2596	64	7	,	,	PUNCT
ejpam-2596	64	8	.	.	PUNCT
ejpam-2596	64	9	.	.	PUNCT
ejpam-2596	64	10	.	.	PUNCT
ejpam-2596	65	1	,	,	PUNCT
ejpam-2596	65	2	zn−1	zn−1	PROPN
ejpam-2596	65	3	∈	∈	PROPN
ejpam-2596	65	4	x	x	X
ejpam-2596	65	5	.	.	PUNCT
ejpam-2596	66	1	a	a	DET
ejpam-2596	66	2	sequence	sequence	NOUN
ejpam-2596	66	3	(	(	PUNCT
ejpam-2596	66	4	xk	xk	PROPN
ejpam-2596	66	5	)	)	PUNCT
ejpam-2596	66	6	in	in	ADP
ejpam-2596	66	7	a	a	DET
ejpam-2596	66	8	n	n	ADV
ejpam-2596	66	9	-	-	PUNCT
ejpam-2596	66	10	normed	norme	VERB
ejpam-2596	66	11	space	space	NOUN
ejpam-2596	66	12	(	(	PUNCT
ejpam-2596	66	13	x	x	X
ejpam-2596	66	14	,	,	PUNCT
ejpam-2596	66	15	||	||	NOUN
ejpam-2596	66	16	.	.	PUNCT
ejpam-2596	66	17	.	.	PUNCT
ejpam-2596	66	18	.	.	PUNCT
ejpam-2596	67	1	||	||	X
ejpam-2596	67	2	)	)	PUNCT
ejpam-2596	67	3	is	be	AUX
ejpam-2596	67	4	said	say	VERB
ejpam-2596	67	5	to	to	PART
ejpam-2596	67	6	be	be	AUX
ejpam-2596	67	7	cauchy	cauchy	ADJ
ejpam-2596	67	8	if	if	SCONJ
ejpam-2596	67	9	lim	lim	PROPN
ejpam-2596	67	10	k	k	PROPN
ejpam-2596	67	11	,	,	PUNCT
ejpam-2596	67	12	p→∞	p→∞	ADV
ejpam-2596	67	13	||xk	||xk	VERB
ejpam-2596	67	14	−	−	PROPN
ejpam-2596	67	15	xp	xp	INTJ
ejpam-2596	67	16	,	,	PUNCT
ejpam-2596	67	17	z1	z1	PROPN
ejpam-2596	67	18	,	,	PUNCT
ejpam-2596	67	19	.	.	PUNCT
ejpam-2596	67	20	.	.	PUNCT
ejpam-2596	68	1	.	.	PUNCT
ejpam-2596	69	1	,	,	PUNCT
ejpam-2596	69	2	zn−1||=	zn−1||=	NOUN
ejpam-2596	69	3	0	0	NUM
ejpam-2596	69	4	for	for	ADP
ejpam-2596	69	5	every	every	DET
ejpam-2596	69	6	z1	z1	NOUN
ejpam-2596	69	7	,	,	PUNCT
ejpam-2596	69	8	.	.	PUNCT
ejpam-2596	69	9	.	.	PUNCT
ejpam-2596	69	10	.	.	PUNCT
ejpam-2596	70	1	,	,	PUNCT
ejpam-2596	70	2	zn−1	zn−1	PROPN
ejpam-2596	70	3	∈	∈	PROPN
ejpam-2596	71	1	x	x	X
ejpam-2596	71	2	.	.	PUNCT
ejpam-2596	72	1	if	if	SCONJ
ejpam-2596	72	2	every	every	DET
ejpam-2596	72	3	cauchy	cauchy	ADJ
ejpam-2596	72	4	sequence	sequence	NOUN
ejpam-2596	72	5	in	in	ADP
ejpam-2596	72	6	x	x	PUNCT
ejpam-2596	72	7	converges	converge	NOUN
ejpam-2596	72	8	to	to	ADP
ejpam-2596	72	9	some	some	DET
ejpam-2596	72	10	l	l	NOUN
ejpam-2596	72	11	∈	∈	PROPN
ejpam-2596	72	12	x	x	X
ejpam-2596	72	13	,	,	PUNCT
ejpam-2596	72	14	then	then	ADV
ejpam-2596	72	15	x	x	PUNCT
ejpam-2596	72	16	is	be	AUX
ejpam-2596	72	17	said	say	VERB
ejpam-2596	72	18	to	to	PART
ejpam-2596	72	19	be	be	AUX
ejpam-2596	72	20	complete	complete	ADJ
ejpam-2596	72	21	with	with	ADP
ejpam-2596	72	22	respect	respect	NOUN
ejpam-2596	72	23	to	to	ADP
ejpam-2596	72	24	the	the	DET
ejpam-2596	72	25	n	n	NOUN
ejpam-2596	72	26	-	-	PUNCT
ejpam-2596	72	27	norm	norm	NOUN
ejpam-2596	72	28	.	.	PUNCT
ejpam-2596	73	1	any	any	DET
ejpam-2596	73	2	complete	complete	ADJ
ejpam-2596	73	3	n	n	CCONJ
ejpam-2596	73	4	-	-	PUNCT
ejpam-2596	73	5	normed	norme	VERB
ejpam-2596	73	6	space	space	NOUN
ejpam-2596	73	7	is	be	AUX
ejpam-2596	73	8	said	say	VERB
ejpam-2596	73	9	to	to	PART
ejpam-2596	73	10	be	be	AUX
ejpam-2596	73	11	n	n	PRON
ejpam-2596	73	12	-	-	PUNCT
ejpam-2596	73	13	banach	banach	NOUN
ejpam-2596	73	14	space	space	NOUN
ejpam-2596	73	15	.	.	PUNCT
ejpam-2596	74	1	definition	definition	NOUN
ejpam-2596	74	2	2	2	NUM
ejpam-2596	74	3	.	.	PUNCT
ejpam-2596	75	1	let	let	VERB
ejpam-2596	75	2	k	k	PRON
ejpam-2596	75	3	be	be	AUX
ejpam-2596	75	4	a	a	DET
ejpam-2596	75	5	subset	subset	NOUN
ejpam-2596	75	6	of	of	ADP
ejpam-2596	75	7	the	the	DET
ejpam-2596	75	8	set	set	NOUN
ejpam-2596	75	9	of	of	ADP
ejpam-2596	75	10	natural	natural	ADJ
ejpam-2596	75	11	number	number	NOUN
ejpam-2596	75	12	n.	n.	NOUN
ejpam-2596	75	13	then	then	ADV
ejpam-2596	75	14	the	the	DET
ejpam-2596	75	15	asymptotic	asymptotic	ADJ
ejpam-2596	75	16	density	density	NOUN
ejpam-2596	75	17	of	of	ADP
ejpam-2596	75	18	k	k	PROPN
ejpam-2596	75	19	denoted	denote	VERB
ejpam-2596	75	20	by	by	ADP
ejpam-2596	75	21	δ(k	δ(k	NOUN
ejpam-2596	75	22	)	)	PUNCT
ejpam-2596	75	23	=	=	SYM
ejpam-2596	75	24	limn→∞	limn→∞	ADJ
ejpam-2596	75	25	1	1	NUM
ejpam-2596	75	26	n	n	NOUN
ejpam-2596	75	27	|	|	NOUN
ejpam-2596	75	28	{	{	PUNCT
ejpam-2596	75	29	j	j	PROPN
ejpam-2596	75	30	≤	≤	PROPN
ejpam-2596	76	1	n	n	CCONJ
ejpam-2596	76	2	:	:	PUNCT
ejpam-2596	76	3	j	j	PROPN
ejpam-2596	76	4	∈	∈	PROPN
ejpam-2596	76	5	k}|	k}|	PROPN
ejpam-2596	76	6	,	,	PUNCT
ejpam-2596	76	7	where	where	SCONJ
ejpam-2596	76	8	vertical	vertical	ADJ
ejpam-2596	76	9	bars	bar	NOUN
ejpam-2596	76	10	denote	denote	VERB
ejpam-2596	76	11	the	the	DET
ejpam-2596	76	12	cardinality	cardinality	NOUN
ejpam-2596	76	13	of	of	ADP
ejpam-2596	76	14	the	the	DET
ejpam-2596	76	15	enclosed	enclose	VERB
ejpam-2596	76	16	set	set	NOUN
ejpam-2596	76	17	.	.	PUNCT
ejpam-2596	77	1	definition	definition	NOUN
ejpam-2596	77	2	3	3	NUM
ejpam-2596	77	3	.	.	PUNCT
ejpam-2596	78	1	a	a	DET
ejpam-2596	78	2	sequence	sequence	NOUN
ejpam-2596	78	3	x	x	NOUN
ejpam-2596	78	4	=	=	SYM
ejpam-2596	78	5	(	(	PUNCT
ejpam-2596	78	6	x	x	SYM
ejpam-2596	78	7	j	j	NOUN
ejpam-2596	78	8	)	)	PUNCT
ejpam-2596	78	9	is	be	AUX
ejpam-2596	78	10	said	say	VERB
ejpam-2596	78	11	to	to	PART
ejpam-2596	78	12	be	be	AUX
ejpam-2596	78	13	statistically	statistically	ADV
ejpam-2596	78	14	convergent	convergent	ADJ
ejpam-2596	78	15	to	to	ADP
ejpam-2596	78	16	a	a	DET
ejpam-2596	78	17	number	number	NOUN
ejpam-2596	78	18	λ	λ	NOUN
ejpam-2596	78	19	if	if	SCONJ
ejpam-2596	78	20	for	for	ADP
ejpam-2596	78	21	every	every	DET
ejpam-2596	78	22	ε	ε	PROPN
ejpam-2596	78	23	>	>	X
ejpam-2596	78	24	0	0	PROPN
ejpam-2596	78	25	,	,	PUNCT
ejpam-2596	78	26	the	the	DET
ejpam-2596	78	27	set	set	NOUN
ejpam-2596	78	28	k(ε	k(ε	PROPN
ejpam-2596	78	29	)	)	PUNCT
ejpam-2596	79	1	=	=	PRON
ejpam-2596	79	2	{	{	PUNCT
ejpam-2596	79	3	j	j	PROPN
ejpam-2596	79	4	≤	≤	PROPN
ejpam-2596	80	1	n	n	CCONJ
ejpam-2596	80	2	:	:	PUNCT
ejpam-2596	80	3	|x	|x	PROPN
ejpam-2596	80	4	j	j	PROPN
ejpam-2596	80	5	−λ|	−λ|	NUM
ejpam-2596	80	6	≥	≥	NUM
ejpam-2596	80	7	ε	ε	PROPN
ejpam-2596	80	8	}	}	PUNCT
ejpam-2596	80	9	has	have	VERB
ejpam-2596	80	10	asymptotic	asymptotic	ADJ
ejpam-2596	80	11	density	density	NOUN
ejpam-2596	80	12	zero	zero	NUM
ejpam-2596	80	13	,	,	PUNCT
ejpam-2596	80	14	i.e	i.e	PROPN
ejpam-2596	80	15	,	,	PUNCT
ejpam-2596	80	16	lim	lim	PROPN
ejpam-2596	80	17	n→∞	n→∞	NUM
ejpam-2596	80	18	1	1	NUM
ejpam-2596	80	19	n	n	NOUN
ejpam-2596	80	20	|	|	NOUN
ejpam-2596	80	21	{	{	PUNCT
ejpam-2596	80	22	j	j	PROPN
ejpam-2596	80	23	≤	≤	PROPN
ejpam-2596	81	1	n	n	CCONJ
ejpam-2596	81	2	:	:	PUNCT
ejpam-2596	81	3	|x	|x	PROPN
ejpam-2596	81	4	j	j	PROPN
ejpam-2596	81	5	−λ|	−λ|	VERB
ejpam-2596	81	6	≥	≥	PROPN
ejpam-2596	81	7	ε}|=	ε}|=	NOUN
ejpam-2596	81	8	0	0	NUM
ejpam-2596	81	9	,	,	PUNCT
ejpam-2596	81	10	in	in	ADP
ejpam-2596	81	11	case	case	NOUN
ejpam-2596	81	12	we	we	PRON
ejpam-2596	81	13	write	write	VERB
ejpam-2596	81	14	s	s	PRON
ejpam-2596	81	15	−	−	PROPN
ejpam-2596	82	1	lim	lim	NOUN
ejpam-2596	83	1	x	x	PUNCT
ejpam-2596	84	1	=	=	PUNCT
ejpam-2596	84	2	λ	λ	PROPN
ejpam-2596	84	3	.	.	NOUN
ejpam-2596	84	4	definition	definition	NOUN
ejpam-2596	84	5	4	4	NUM
ejpam-2596	84	6	.	.	PUNCT
ejpam-2596	85	1	let	let	VERB
ejpam-2596	85	2	x	x	PRON
ejpam-2596	85	3	be	be	AUX
ejpam-2596	85	4	a	a	DET
ejpam-2596	85	5	linear	linear	ADJ
ejpam-2596	85	6	metric	metric	ADJ
ejpam-2596	85	7	space	space	NOUN
ejpam-2596	85	8	.	.	PUNCT
ejpam-2596	86	1	a	a	DET
ejpam-2596	86	2	function	function	NOUN
ejpam-2596	86	3	g	g	NOUN
ejpam-2596	86	4	:	:	PUNCT
ejpam-2596	86	5	x	x	X
ejpam-2596	86	6	→	→	SYM
ejpam-2596	86	7	r	r	NOUN
ejpam-2596	86	8	is	be	AUX
ejpam-2596	86	9	called	call	VERB
ejpam-2596	86	10	paranorm	paranorm	NOUN
ejpam-2596	86	11	,	,	PUNCT
ejpam-2596	86	12	if	if	SCONJ
ejpam-2596	86	13	(	(	PUNCT
ejpam-2596	86	14	i	i	NOUN
ejpam-2596	86	15	)	)	PUNCT
ejpam-2596	86	16	g(x)≥	g(x)≥	NOUN
ejpam-2596	86	17	0	0	NUM
ejpam-2596	86	18	for	for	ADP
ejpam-2596	86	19	all	all	DET
ejpam-2596	86	20	x	x	SYM
ejpam-2596	86	21	∈	∈	PROPN
ejpam-2596	86	22	x	x	X
ejpam-2596	86	23	,	,	PUNCT
ejpam-2596	86	24	(	(	PUNCT
ejpam-2596	86	25	ii	ii	NOUN
ejpam-2596	86	26	)	)	PUNCT
ejpam-2596	86	27	g(−x	g(−x	NOUN
ejpam-2596	86	28	)	)	PUNCT
ejpam-2596	86	29	=	=	SYM
ejpam-2596	86	30	g(x	g(x	NOUN
ejpam-2596	86	31	)	)	PUNCT
ejpam-2596	86	32	for	for	ADP
ejpam-2596	86	33	all	all	DET
ejpam-2596	86	34	x	x	SYM
ejpam-2596	86	35	∈	∈	PROPN
ejpam-2596	86	36	x	x	X
ejpam-2596	86	37	,	,	PUNCT
ejpam-2596	86	38	(	(	PUNCT
ejpam-2596	86	39	iii	iii	NOUN
ejpam-2596	86	40	)	)	PUNCT
ejpam-2596	86	41	g(x	g(x	NOUN
ejpam-2596	86	42	+	+	CCONJ
ejpam-2596	86	43	y)≤	y)≤	PROPN
ejpam-2596	86	44	g(x	g(x	NOUN
ejpam-2596	86	45	)	)	PUNCT
ejpam-2596	87	1	+	+	CCONJ
ejpam-2596	88	1	g(y	g(y	NOUN
ejpam-2596	88	2	)	)	PUNCT
ejpam-2596	88	3	for	for	ADP
ejpam-2596	88	4	all	all	DET
ejpam-2596	88	5	x	x	SYM
ejpam-2596	88	6	,	,	PUNCT
ejpam-2596	88	7	y	y	PROPN
ejpam-2596	88	8	∈	∈	PROPN
ejpam-2596	88	9	x	x	X
ejpam-2596	88	10	,	,	PUNCT
ejpam-2596	88	11	(	(	PUNCT
ejpam-2596	88	12	iv	iv	X
ejpam-2596	88	13	)	)	PUNCT
ejpam-2596	88	14	if	if	SCONJ
ejpam-2596	88	15	(	(	PUNCT
ejpam-2596	88	16	λn	λn	NOUN
ejpam-2596	88	17	)	)	PUNCT
ejpam-2596	88	18	is	be	AUX
ejpam-2596	88	19	a	a	DET
ejpam-2596	88	20	sequence	sequence	NOUN
ejpam-2596	88	21	of	of	ADP
ejpam-2596	88	22	scalars	scalar	NOUN
ejpam-2596	88	23	with	with	ADP
ejpam-2596	88	24	λn	λn	PROPN
ejpam-2596	88	25	→	→	SYM
ejpam-2596	88	26	λ	λ	PROPN
ejpam-2596	88	27	as	as	ADP
ejpam-2596	88	28	n→∞	n→∞	NUM
ejpam-2596	88	29	and	and	CCONJ
ejpam-2596	88	30	(	(	PUNCT
ejpam-2596	88	31	xn	xn	X
ejpam-2596	88	32	)	)	PUNCT
ejpam-2596	88	33	is	be	AUX
ejpam-2596	88	34	a	a	DET
ejpam-2596	88	35	sequence	sequence	NOUN
ejpam-2596	88	36	of	of	ADP
ejpam-2596	88	37	vectors	vector	NOUN
ejpam-2596	88	38	with	with	ADP
ejpam-2596	88	39	g(xn	g(xn	NOUN
ejpam-2596	88	40	−	−	PROPN
ejpam-2596	88	41	x)→	x)→	PROPN
ejpam-2596	88	42	0	0	PUNCT
ejpam-2596	88	43	as	as	ADP
ejpam-2596	88	44	n→∞	n→∞	NUM
ejpam-2596	88	45	,	,	PUNCT
ejpam-2596	88	46	then	then	ADV
ejpam-2596	88	47	g(λn	g(λn	PROPN
ejpam-2596	88	48	xn	xn	PROPN
ejpam-2596	89	1	−λx)→	−λx)→	PROPN
ejpam-2596	89	2	0	0	NUM
ejpam-2596	89	3	as	as	ADP
ejpam-2596	89	4	n→∞.	n→∞.	PROPN
ejpam-2596	89	5	k.	k.	PROPN
ejpam-2596	89	6	raj	raj	PROPN
ejpam-2596	89	7	,	,	PUNCT
ejpam-2596	89	8	r.	r.	PROPN
ejpam-2596	89	9	anand	anand	PROPN
ejpam-2596	89	10	,	,	PUNCT
ejpam-2596	89	11	s.	s.	PROPN
ejpam-2596	89	12	jamwal	jamwal	PROPN
ejpam-2596	89	13	/	/	SYM
ejpam-2596	89	14	eur	eur	PROPN
ejpam-2596	89	15	.	.	PUNCT
ejpam-2596	90	1	j.	j.	PROPN
ejpam-2596	90	2	pure	pure	PROPN
ejpam-2596	90	3	appl	appl	PROPN
ejpam-2596	90	4	.	.	PROPN
ejpam-2596	90	5	math	math	PROPN
ejpam-2596	90	6	,	,	PUNCT
ejpam-2596	90	7	9	9	NUM
ejpam-2596	90	8	(	(	PUNCT
ejpam-2596	90	9	2016	2016	NUM
ejpam-2596	90	10	)	)	PUNCT
ejpam-2596	90	11	,	,	PUNCT
ejpam-2596	90	12	464	464	NUM
ejpam-2596	90	13	-	-	SYM
ejpam-2596	90	14	478	478	NUM
ejpam-2596	90	15	466	466	NUM
ejpam-2596	90	16	a	a	DET
ejpam-2596	90	17	paranorm	paranorm	NOUN
ejpam-2596	90	18	g	g	NOUN
ejpam-2596	90	19	for	for	ADP
ejpam-2596	90	20	which	which	PRON
ejpam-2596	90	21	g(x	g(x	NOUN
ejpam-2596	90	22	)	)	PUNCT
ejpam-2596	91	1	=	=	SYM
ejpam-2596	91	2	0	0	NUM
ejpam-2596	91	3	implies	imply	VERB
ejpam-2596	91	4	x	x	PUNCT
ejpam-2596	91	5	=	=	SYM
ejpam-2596	91	6	0	0	NUM
ejpam-2596	91	7	is	be	AUX
ejpam-2596	91	8	called	call	VERB
ejpam-2596	91	9	total	total	ADJ
ejpam-2596	91	10	paranorm	paranorm	NOUN
ejpam-2596	91	11	and	and	CCONJ
ejpam-2596	91	12	the	the	DET
ejpam-2596	91	13	pair	pair	NOUN
ejpam-2596	91	14	(	(	PUNCT
ejpam-2596	91	15	x	x	X
ejpam-2596	91	16	,	,	PUNCT
ejpam-2596	91	17	g	g	NOUN
ejpam-2596	91	18	)	)	PUNCT
ejpam-2596	91	19	is	be	AUX
ejpam-2596	91	20	called	call	VERB
ejpam-2596	91	21	a	a	DET
ejpam-2596	91	22	total	total	ADJ
ejpam-2596	91	23	paranormed	paranormed	ADJ
ejpam-2596	91	24	space	space	NOUN
ejpam-2596	91	25	.	.	PUNCT
ejpam-2596	92	1	note	note	VERB
ejpam-2596	92	2	that	that	SCONJ
ejpam-2596	92	3	each	each	DET
ejpam-2596	92	4	seminorm	seminorm	NOUN
ejpam-2596	92	5	(	(	PUNCT
ejpam-2596	92	6	norm	norm	NOUN
ejpam-2596	92	7	)	)	PUNCT
ejpam-2596	92	8	g	g	NOUN
ejpam-2596	92	9	on	on	ADP
ejpam-2596	92	10	x	x	SYM
ejpam-2596	92	11	is	be	AUX
ejpam-2596	92	12	a	a	DET
ejpam-2596	92	13	paranorm	paranorm	NOUN
ejpam-2596	92	14	(	(	PUNCT
ejpam-2596	92	15	total	total	NOUN
ejpam-2596	92	16	)	)	PUNCT
ejpam-2596	92	17	but	but	CCONJ
ejpam-2596	92	18	converse	converse	NOUN
ejpam-2596	92	19	need	need	AUX
ejpam-2596	92	20	not	not	PART
ejpam-2596	92	21	be	be	AUX
ejpam-2596	92	22	true	true	ADJ
ejpam-2596	92	23	.	.	PUNCT
ejpam-2596	93	1	it	it	PRON
ejpam-2596	93	2	is	be	AUX
ejpam-2596	93	3	well	well	ADV
ejpam-2596	93	4	known	know	VERB
ejpam-2596	93	5	that	that	SCONJ
ejpam-2596	93	6	the	the	DET
ejpam-2596	93	7	metric	metric	NOUN
ejpam-2596	93	8	of	of	ADP
ejpam-2596	93	9	any	any	DET
ejpam-2596	93	10	linear	linear	ADJ
ejpam-2596	93	11	metric	metric	ADJ
ejpam-2596	93	12	space	space	NOUN
ejpam-2596	93	13	is	be	AUX
ejpam-2596	93	14	given	give	VERB
ejpam-2596	93	15	by	by	ADP
ejpam-2596	93	16	some	some	DET
ejpam-2596	93	17	total	total	ADJ
ejpam-2596	93	18	paranorm	paranorm	NOUN
ejpam-2596	93	19	(	(	PUNCT
ejpam-2596	93	20	see	see	VERB
ejpam-2596	93	21	[	[	X
ejpam-2596	93	22	28	28	NUM
ejpam-2596	93	23	,	,	PUNCT
ejpam-2596	93	24	theorem	theorem	ADJ
ejpam-2596	93	25	10.4.2	10.4.2	NOUN
ejpam-2596	93	26	,	,	PUNCT
ejpam-2596	93	27	pp	pp	ADJ
ejpam-2596	93	28	.	.	PUNCT
ejpam-2596	93	29	183	183	NUM
ejpam-2596	93	30	]	]	NUM
ejpam-2596	93	31	)	)	PUNCT
ejpam-2596	93	32	.	.	PUNCT
ejpam-2596	94	1	for	for	ADP
ejpam-2596	94	2	more	more	ADJ
ejpam-2596	94	3	details	detail	NOUN
ejpam-2596	94	4	about	about	ADP
ejpam-2596	94	5	sequence	sequence	NOUN
ejpam-2596	94	6	spaces	space	NOUN
ejpam-2596	94	7	see	see	VERB
ejpam-2596	94	8	[	[	X
ejpam-2596	94	9	2	2	NUM
ejpam-2596	94	10	,	,	PUNCT
ejpam-2596	94	11	6	6	NUM
ejpam-2596	94	12	,	,	PUNCT
ejpam-2596	94	13	7	7	NUM
ejpam-2596	94	14	,	,	PUNCT
ejpam-2596	94	15	22	22	NUM
ejpam-2596	94	16	,	,	PUNCT
ejpam-2596	94	17	24–26	24–26	NUM
ejpam-2596	94	18	]	]	PUNCT
ejpam-2596	94	19	and	and	CCONJ
ejpam-2596	94	20	references	reference	NOUN
ejpam-2596	94	21	therein	therein	ADV
ejpam-2596	94	22	.	.	PUNCT
ejpam-2596	95	1	definition	definition	NOUN
ejpam-2596	95	2	5	5	NUM
ejpam-2596	95	3	.	.	PUNCT
ejpam-2596	96	1	a	a	DET
ejpam-2596	96	2	sequence	sequence	NOUN
ejpam-2596	96	3	x	x	NOUN
ejpam-2596	96	4	=	=	SYM
ejpam-2596	96	5	(	(	PUNCT
ejpam-2596	96	6	x	x	PROPN
ejpam-2596	96	7	j	j	NOUN
ejpam-2596	96	8	)	)	PUNCT
ejpam-2596	96	9	in	in	ADP
ejpam-2596	96	10	(	(	PUNCT
ejpam-2596	96	11	x	x	INTJ
ejpam-2596	96	12	,	,	PUNCT
ejpam-2596	96	13	g	g	NOUN
ejpam-2596	96	14	)	)	PUNCT
ejpam-2596	96	15	paranormed	paranorme	VERB
ejpam-2596	96	16	space	space	NOUN
ejpam-2596	96	17	is	be	AUX
ejpam-2596	96	18	said	say	VERB
ejpam-2596	96	19	to	to	PART
ejpam-2596	96	20	be	be	AUX
ejpam-2596	96	21	convergent	convergent	ADJ
ejpam-2596	96	22	(	(	PUNCT
ejpam-2596	96	23	or	or	CCONJ
ejpam-2596	96	24	g−convergent	g−convergent	NOUN
ejpam-2596	96	25	)	)	PUNCT
ejpam-2596	96	26	to	to	ADP
ejpam-2596	96	27	a	a	DET
ejpam-2596	96	28	number	number	NOUN
ejpam-2596	96	29	λ	λ	NOUN
ejpam-2596	96	30	in	in	ADP
ejpam-2596	96	31	(	(	PUNCT
ejpam-2596	96	32	x	x	INTJ
ejpam-2596	96	33	,	,	PUNCT
ejpam-2596	96	34	g	g	NOUN
ejpam-2596	96	35	)	)	PUNCT
ejpam-2596	96	36	if	if	SCONJ
ejpam-2596	96	37	for	for	ADP
ejpam-2596	96	38	every	every	DET
ejpam-2596	96	39	ε	ε	PROPN
ejpam-2596	96	40	>	>	X
ejpam-2596	96	41	0	0	PUNCT
ejpam-2596	97	1	there	there	PRON
ejpam-2596	97	2	exists	exist	VERB
ejpam-2596	97	3	a	a	DET
ejpam-2596	97	4	positive	positive	ADJ
ejpam-2596	97	5	integer	integer	NOUN
ejpam-2596	97	6	j0	j0	PROPN
ejpam-2596	97	7	such	such	ADJ
ejpam-2596	97	8	that	that	SCONJ
ejpam-2596	97	9	g(x	g(x	PROPN
ejpam-2596	97	10	j	j	PROPN
ejpam-2596	98	1	−	−	PROPN
ejpam-2596	98	2	λ	λ	PROPN
ejpam-2596	98	3	)	)	PUNCT
ejpam-2596	98	4	<	<	X
ejpam-2596	98	5	ε	ε	PROPN
ejpam-2596	99	1	whenever	whenever	SCONJ
ejpam-2596	99	2	j	j	PROPN
ejpam-2596	99	3	≥	≥	PROPN
ejpam-2596	99	4	j0	j0	PROPN
ejpam-2596	99	5	.	.	PUNCT
ejpam-2596	100	1	in	in	ADP
ejpam-2596	100	2	case	case	NOUN
ejpam-2596	100	3	we	we	PRON
ejpam-2596	100	4	write	write	VERB
ejpam-2596	100	5	g	g	PROPN
ejpam-2596	100	6	−	−	PROPN
ejpam-2596	100	7	lim	lim	NOUN
ejpam-2596	100	8	x	x	X
ejpam-2596	101	1	=	=	PUNCT
ejpam-2596	101	2	λ	λ	PROPN
ejpam-2596	101	3	and	and	CCONJ
ejpam-2596	101	4	λ	λ	PROPN
ejpam-2596	101	5	is	be	AUX
ejpam-2596	101	6	called	call	VERB
ejpam-2596	101	7	the	the	DET
ejpam-2596	101	8	g−limit	g−limit	NOUN
ejpam-2596	101	9	of	of	ADP
ejpam-2596	101	10	x	x	PUNCT
ejpam-2596	101	11	(	(	PUNCT
ejpam-2596	101	12	see	see	VERB
ejpam-2596	101	13	[	[	X
ejpam-2596	101	14	1	1	NUM
ejpam-2596	101	15	]	]	NUM
ejpam-2596	101	16	)	)	PUNCT
ejpam-2596	101	17	.	.	PUNCT
ejpam-2596	102	1	definition	definition	NOUN
ejpam-2596	102	2	6	6	NUM
ejpam-2596	102	3	.	.	PUNCT
ejpam-2596	103	1	an	an	DET
ejpam-2596	103	2	orlicz	orlicz	ADJ
ejpam-2596	103	3	function	function	NOUN
ejpam-2596	103	4	m	m	VERB
ejpam-2596	103	5	is	be	AUX
ejpam-2596	103	6	a	a	DET
ejpam-2596	103	7	function	function	NOUN
ejpam-2596	103	8	,	,	PUNCT
ejpam-2596	103	9	which	which	PRON
ejpam-2596	103	10	is	be	AUX
ejpam-2596	103	11	continuous	continuous	ADJ
ejpam-2596	103	12	,	,	PUNCT
ejpam-2596	103	13	non	non	ADJ
ejpam-2596	103	14	-	-	ADJ
ejpam-2596	103	15	decreasing	decrease	VERB
ejpam-2596	103	16	and	and	CCONJ
ejpam-2596	103	17	convex	convex	VERB
ejpam-2596	103	18	on	on	ADP
ejpam-2596	103	19	[	[	X
ejpam-2596	103	20	0,+∞	0,+∞	NUM
ejpam-2596	103	21	)	)	PUNCT
ejpam-2596	103	22	with	with	ADP
ejpam-2596	103	23	m(0	m(0	PROPN
ejpam-2596	103	24	)	)	PUNCT
ejpam-2596	103	25	=	=	SYM
ejpam-2596	103	26	0	0	NUM
ejpam-2596	103	27	,	,	PUNCT
ejpam-2596	103	28	m(x	m(x	PROPN
ejpam-2596	103	29	)	)	PUNCT
ejpam-2596	103	30	>	>	X
ejpam-2596	103	31	0	0	PUNCT
ejpam-2596	104	1	for	for	ADP
ejpam-2596	104	2	x	x	PUNCT
ejpam-2596	104	3	>	>	X
ejpam-2596	104	4	0	0	NUM
ejpam-2596	104	5	and	and	CCONJ
ejpam-2596	104	6	m(x	m(x	NOUN
ejpam-2596	104	7	)	)	PUNCT
ejpam-2596	104	8	−→∞	−→∞	PROPN
ejpam-2596	104	9	as	as	ADP
ejpam-2596	104	10	x	x	SYM
ejpam-2596	104	11	−→∞.	−→∞.	X
ejpam-2596	104	12	lindenstrauss	lindenstrauss	ADJ
ejpam-2596	104	13	and	and	CCONJ
ejpam-2596	104	14	tzafriri	tzafriri	NOUN
ejpam-2596	104	15	[	[	X
ejpam-2596	104	16	17	17	NUM
ejpam-2596	104	17	]	]	PUNCT
ejpam-2596	104	18	used	use	VERB
ejpam-2596	104	19	the	the	DET
ejpam-2596	104	20	idea	idea	NOUN
ejpam-2596	104	21	of	of	ADP
ejpam-2596	104	22	orlicz	orlicz	ADJ
ejpam-2596	104	23	function	function	NOUN
ejpam-2596	104	24	to	to	PART
ejpam-2596	104	25	define	define	VERB
ejpam-2596	104	26	the	the	DET
ejpam-2596	104	27	following	follow	VERB
ejpam-2596	104	28	sequence	sequence	NOUN
ejpam-2596	104	29	space	space	NOUN
ejpam-2596	104	30	:	:	PUNCT
ejpam-2596	104	31	`	`	PUNCT
ejpam-2596	104	32	m	m	VERB
ejpam-2596	104	33	=	=	SYM
ejpam-2596	104	34	¦	¦	X
ejpam-2596	104	35	x	x	PUNCT
ejpam-2596	104	36	∈ω	∈ω	NOUN
ejpam-2596	104	37	:	:	PUNCT
ejpam-2596	105	1	∞	∞	NUM
ejpam-2596	105	2	∑	∑	PUNCT
ejpam-2596	105	3	k=1	k=1	PROPN
ejpam-2596	105	4	m	m	VERB
ejpam-2596	105	5	�	�	PROPN
ejpam-2596	105	6	|xk|	|xk|	PROPN
ejpam-2596	105	7	ρ	ρ	PROPN
ejpam-2596	105	8	�	�	PROPN
ejpam-2596	105	9	<	<	X
ejpam-2596	105	10	∞	∞	PROPN
ejpam-2596	105	11	,	,	PUNCT
ejpam-2596	105	12	for	for	ADP
ejpam-2596	105	13	some	some	DET
ejpam-2596	105	14	ρ	ρ	NOUN
ejpam-2596	105	15	>	>	X
ejpam-2596	105	16	0	0	PUNCT
ejpam-2596	106	1	©	©	NOUN
ejpam-2596	106	2	which	which	PRON
ejpam-2596	106	3	is	be	AUX
ejpam-2596	106	4	called	call	VERB
ejpam-2596	106	5	an	an	DET
ejpam-2596	106	6	orlicz	orlicz	ADJ
ejpam-2596	106	7	sequence	sequence	NOUN
ejpam-2596	106	8	space	space	NOUN
ejpam-2596	106	9	.	.	PUNCT
ejpam-2596	107	1	the	the	DET
ejpam-2596	107	2	space	space	NOUN
ejpam-2596	107	3	`	`	PUNCT
ejpam-2596	107	4	m	m	NOUN
ejpam-2596	107	5	is	be	AUX
ejpam-2596	107	6	a	a	DET
ejpam-2596	107	7	banach	banach	NOUN
ejpam-2596	107	8	space	space	NOUN
ejpam-2596	107	9	with	with	ADP
ejpam-2596	107	10	the	the	DET
ejpam-2596	107	11	norm	norm	NOUN
ejpam-2596	107	12	||x	||x	PROPN
ejpam-2596	107	13	||=	||=	PROPN
ejpam-2596	107	14	inf	inf	PROPN
ejpam-2596	107	15	¦	¦	PROPN
ejpam-2596	107	16	ρ	ρ	PROPN
ejpam-2596	107	17	>	>	X
ejpam-2596	107	18	0	0	NUM
ejpam-2596	108	1	:	:	PUNCT
ejpam-2596	108	2	∞	∞	NUM
ejpam-2596	108	3	∑	∑	PUNCT
ejpam-2596	108	4	k=1	k=1	PROPN
ejpam-2596	108	5	m	m	VERB
ejpam-2596	108	6	�	�	PROPN
ejpam-2596	108	7	|xk|	|xk|	PROPN
ejpam-2596	108	8	ρ	ρ	PROPN
ejpam-2596	108	9	�	�	PROPN
ejpam-2596	108	10	≤	≤	NOUN
ejpam-2596	108	11	1	1	NUM
ejpam-2596	108	12	©	©	NOUN
ejpam-2596	108	13	.	.	PUNCT
ejpam-2596	109	1	it	it	PRON
ejpam-2596	109	2	is	be	AUX
ejpam-2596	109	3	shown	show	VERB
ejpam-2596	109	4	in	in	ADP
ejpam-2596	109	5	[	[	X
ejpam-2596	109	6	17	17	NUM
ejpam-2596	109	7	]	]	PUNCT
ejpam-2596	109	8	that	that	SCONJ
ejpam-2596	109	9	every	every	DET
ejpam-2596	109	10	orlicz	orlicz	ADJ
ejpam-2596	109	11	sequence	sequence	NOUN
ejpam-2596	109	12	space	space	NOUN
ejpam-2596	109	13	`	`	PUNCT
ejpam-2596	109	14	m	m	PUNCT
ejpam-2596	109	15	contains	contain	VERB
ejpam-2596	109	16	a	a	DET
ejpam-2596	109	17	subspace	subspace	NOUN
ejpam-2596	109	18	isomorphic	isomorphic	ADJ
ejpam-2596	109	19	to	to	ADP
ejpam-2596	109	20	`	`	PUNCT
ejpam-2596	109	21	p(p	p(p	X
ejpam-2596	109	22	≥	≥	NOUN
ejpam-2596	109	23	1	1	NUM
ejpam-2596	109	24	)	)	PUNCT
ejpam-2596	109	25	.	.	PUNCT
ejpam-2596	110	1	in	in	ADP
ejpam-2596	110	2	the	the	DET
ejpam-2596	110	3	later	later	ADJ
ejpam-2596	110	4	stage	stage	NOUN
ejpam-2596	110	5	different	different	ADJ
ejpam-2596	110	6	orlicz	orlicz	ADJ
ejpam-2596	110	7	sequence	sequence	NOUN
ejpam-2596	110	8	spaces	space	NOUN
ejpam-2596	110	9	were	be	AUX
ejpam-2596	110	10	introduced	introduce	VERB
ejpam-2596	110	11	and	and	CCONJ
ejpam-2596	110	12	studied	study	VERB
ejpam-2596	110	13	by	by	ADP
ejpam-2596	110	14	parashar	parashar	PROPN
ejpam-2596	110	15	and	and	CCONJ
ejpam-2596	110	16	choudhary	choudhary	PROPN
ejpam-2596	111	1	[	[	X
ejpam-2596	111	2	23	23	NUM
ejpam-2596	111	3	]	]	PUNCT
ejpam-2596	111	4	,	,	PUNCT
ejpam-2596	111	5	mursaleen	mursaleen	PROPN
ejpam-2596	112	1	[	[	X
ejpam-2596	112	2	22	22	NUM
ejpam-2596	112	3	]	]	PUNCT
ejpam-2596	112	4	and	and	CCONJ
ejpam-2596	112	5	many	many	ADJ
ejpam-2596	112	6	others	other	NOUN
ejpam-2596	112	7	.	.	PUNCT
ejpam-2596	113	1	definition	definition	NOUN
ejpam-2596	113	2	7	7	NUM
ejpam-2596	113	3	.	.	PUNCT
ejpam-2596	113	4	by	by	ADP
ejpam-2596	113	5	a	a	DET
ejpam-2596	113	6	lacunary	lacunary	ADJ
ejpam-2596	113	7	sequence	sequence	NOUN
ejpam-2596	113	8	θ	θ	NOUN
ejpam-2596	113	9	=	=	SYM
ejpam-2596	113	10	(	(	PUNCT
ejpam-2596	113	11	kr	kr	PROPN
ejpam-2596	113	12	)	)	PUNCT
ejpam-2596	113	13	where	where	SCONJ
ejpam-2596	113	14	k0	k0	PROPN
ejpam-2596	113	15	=	=	PROPN
ejpam-2596	113	16	0	0	PROPN
ejpam-2596	113	17	,	,	PUNCT
ejpam-2596	113	18	we	we	PRON
ejpam-2596	113	19	shall	shall	AUX
ejpam-2596	113	20	mean	mean	VERB
ejpam-2596	113	21	an	an	DET
ejpam-2596	113	22	increasing	increase	VERB
ejpam-2596	113	23	sequence	sequence	NOUN
ejpam-2596	113	24	of	of	ADP
ejpam-2596	113	25	non	non	ADJ
ejpam-2596	113	26	-	-	ADJ
ejpam-2596	113	27	negative	negative	ADJ
ejpam-2596	113	28	integers	integer	NOUN
ejpam-2596	113	29	with	with	ADP
ejpam-2596	113	30	kr	kr	PROPN
ejpam-2596	113	31	−	−	PROPN
ejpam-2596	113	32	kr−1→∞	kr−1→∞	NOUN
ejpam-2596	113	33	as	as	ADP
ejpam-2596	113	34	r	r	NOUN
ejpam-2596	113	35	→∞.	→∞.	X
ejpam-2596	113	36	the	the	DET
ejpam-2596	113	37	intervals	interval	NOUN
ejpam-2596	113	38	determined	determine	VERB
ejpam-2596	113	39	by	by	ADP
ejpam-2596	113	40	θ	θ	PROPN
ejpam-2596	113	41	will	will	AUX
ejpam-2596	113	42	be	be	AUX
ejpam-2596	113	43	denoted	denote	VERB
ejpam-2596	113	44	by	by	ADP
ejpam-2596	113	45	ir	ir	PROPN
ejpam-2596	113	46	=	=	SYM
ejpam-2596	113	47	(	(	PUNCT
ejpam-2596	113	48	kr−1	kr−1	PROPN
ejpam-2596	113	49	,	,	PUNCT
ejpam-2596	113	50	kr	kr	PROPN
ejpam-2596	113	51	]	]	PUNCT
ejpam-2596	113	52	.	.	PUNCT
ejpam-2596	114	1	we	we	PRON
ejpam-2596	114	2	write	write	VERB
ejpam-2596	114	3	hr	hr	NOUN
ejpam-2596	114	4	=	=	PUNCT
ejpam-2596	114	5	kr	kr	PROPN
ejpam-2596	115	1	−	−	PROPN
ejpam-2596	115	2	kr−1	kr−1	PROPN
ejpam-2596	115	3	.	.	PUNCT
ejpam-2596	116	1	the	the	DET
ejpam-2596	116	2	ratio	ratio	NOUN
ejpam-2596	116	3	kr	kr	PROPN
ejpam-2596	116	4	kr−1	kr−1	PROPN
ejpam-2596	116	5	will	will	AUX
ejpam-2596	116	6	be	be	AUX
ejpam-2596	116	7	denoted	denote	VERB
ejpam-2596	116	8	by	by	ADP
ejpam-2596	116	9	qr	qr	PROPN
ejpam-2596	116	10	.	.	PUNCT
ejpam-2596	117	1	the	the	DET
ejpam-2596	117	2	space	space	NOUN
ejpam-2596	117	3	of	of	ADP
ejpam-2596	117	4	lacunary	lacunary	ADJ
ejpam-2596	117	5	strongly	strongly	ADV
ejpam-2596	117	6	convergent	convergent	ADJ
ejpam-2596	117	7	sequence	sequence	NOUN
ejpam-2596	117	8	was	be	AUX
ejpam-2596	117	9	defined	define	VERB
ejpam-2596	117	10	by	by	ADP
ejpam-2596	117	11	freedman	freedman	PROPN
ejpam-2596	117	12	et	et	PROPN
ejpam-2596	117	13	al	al	PROPN
ejpam-2596	117	14	.	.	PUNCT
ejpam-2596	118	1	[	[	X
ejpam-2596	118	2	11	11	NUM
ejpam-2596	118	3	]	]	PUNCT
ejpam-2596	118	4	as	as	SCONJ
ejpam-2596	118	5	follows	follow	VERB
ejpam-2596	118	6	:	:	PUNCT
ejpam-2596	118	7	nθ	nθ	NOUN
ejpam-2596	118	8	=	=	PUNCT
ejpam-2596	118	9	¦	¦	PROPN
ejpam-2596	118	10	x	x	PUNCT
ejpam-2596	118	11	=	=	SYM
ejpam-2596	118	12	(	(	PUNCT
ejpam-2596	118	13	xk	xk	PROPN
ejpam-2596	118	14	)	)	PUNCT
ejpam-2596	118	15	:	:	PUNCT
ejpam-2596	119	1	lim	lim	PROPN
ejpam-2596	119	2	r→∞	r→∞	PUNCT
ejpam-2596	119	3	1	1	NUM
ejpam-2596	119	4	hr	hr	NOUN
ejpam-2596	119	5	∑	∑	PUNCT
ejpam-2596	119	6	k∈ir	k∈ir	PROPN
ejpam-2596	119	7	|xk	|xk	ADP
ejpam-2596	119	8	−	−	NOUN
ejpam-2596	119	9	l|=	l|=	NOUN
ejpam-2596	119	10	0	0	NUM
ejpam-2596	119	11	for	for	ADP
ejpam-2596	119	12	some	some	DET
ejpam-2596	119	13	l	l	NOUN
ejpam-2596	119	14	©	©	NOUN
ejpam-2596	119	15	.	.	PUNCT
ejpam-2596	120	1	lorentz	lorentz	PROPN
ejpam-2596	121	1	[	[	X
ejpam-2596	121	2	18	18	NUM
ejpam-2596	121	3	]	]	PUNCT
ejpam-2596	121	4	and	and	CCONJ
ejpam-2596	121	5	duran	duran	NOUN
ejpam-2596	122	1	[	[	X
ejpam-2596	122	2	9	9	NUM
ejpam-2596	122	3	]	]	PUNCT
ejpam-2596	122	4	studied	study	VERB
ejpam-2596	122	5	the	the	DET
ejpam-2596	122	6	spaces	space	NOUN
ejpam-2596	122	7	of	of	ADP
ejpam-2596	122	8	almost	almost	ADV
ejpam-2596	122	9	convergent	convergent	ADJ
ejpam-2596	122	10	sequences	sequence	NOUN
ejpam-2596	122	11	.	.	PUNCT
ejpam-2596	123	1	the	the	DET
ejpam-2596	123	2	concept	concept	NOUN
ejpam-2596	123	3	of	of	ADP
ejpam-2596	123	4	strongly	strongly	ADV
ejpam-2596	123	5	almost	almost	ADV
ejpam-2596	123	6	convergent	convergent	ADJ
ejpam-2596	123	7	sequences	sequence	NOUN
ejpam-2596	123	8	was	be	AUX
ejpam-2596	123	9	introduced	introduce	VERB
ejpam-2596	123	10	by	by	ADP
ejpam-2596	123	11	maddox	maddox	PROPN
ejpam-2596	123	12	[	[	X
ejpam-2596	123	13	19	19	NUM
ejpam-2596	123	14	]	]	PUNCT
ejpam-2596	123	15	.	.	PUNCT
ejpam-2596	124	1	in	in	ADP
ejpam-2596	124	2	[	[	X
ejpam-2596	124	3	20	20	NUM
ejpam-2596	124	4	]	]	PUNCT
ejpam-2596	124	5	,	,	PUNCT
ejpam-2596	124	6	maddox	maddox	PROPN
ejpam-2596	124	7	defined	define	VERB
ejpam-2596	124	8	a	a	DET
ejpam-2596	124	9	generalization	generalization	NOUN
ejpam-2596	124	10	of	of	ADP
ejpam-2596	124	11	strong	strong	ADJ
ejpam-2596	124	12	almost	almost	ADV
ejpam-2596	124	13	convergence	convergence	NOUN
ejpam-2596	124	14	.	.	PUNCT
ejpam-2596	125	1	related	relate	VERB
ejpam-2596	125	2	articles	article	NOUN
ejpam-2596	125	3	with	with	ADP
ejpam-2596	125	4	the	the	DET
ejpam-2596	125	5	topic	topic	NOUN
ejpam-2596	125	6	almost	almost	ADV
ejpam-2596	125	7	convergence	convergence	NOUN
ejpam-2596	125	8	and	and	CCONJ
ejpam-2596	125	9	strong	strong	ADJ
ejpam-2596	125	10	almost	almost	ADV
ejpam-2596	125	11	convergence	convergence	NOUN
ejpam-2596	125	12	can	can	AUX
ejpam-2596	125	13	be	be	AUX
ejpam-2596	125	14	seen	see	VERB
ejpam-2596	125	15	in	in	ADP
ejpam-2596	125	16	[	[	X
ejpam-2596	125	17	3	3	NUM
ejpam-2596	125	18	,	,	PUNCT
ejpam-2596	125	19	18–20	18–20	NUM
ejpam-2596	125	20	]	]	PUNCT
ejpam-2596	125	21	.	.	PUNCT
ejpam-2596	126	1	in	in	ADP
ejpam-2596	126	2	order	order	NOUN
ejpam-2596	126	3	to	to	PART
ejpam-2596	126	4	extend	extend	VERB
ejpam-2596	126	5	convergence	convergence	NOUN
ejpam-2596	126	6	of	of	ADP
ejpam-2596	126	7	sequences	sequence	NOUN
ejpam-2596	126	8	,	,	PUNCT
ejpam-2596	126	9	the	the	DET
ejpam-2596	126	10	notion	notion	NOUN
ejpam-2596	126	11	of	of	ADP
ejpam-2596	126	12	statistical	statistical	ADJ
ejpam-2596	126	13	convergence	convergence	NOUN
ejpam-2596	126	14	has	have	AUX
ejpam-2596	126	15	been	be	AUX
ejpam-2596	126	16	introduced	introduce	VERB
ejpam-2596	126	17	by	by	ADP
ejpam-2596	126	18	fast	fast	ADJ
ejpam-2596	126	19	[	[	X
ejpam-2596	126	20	10	10	NUM
ejpam-2596	126	21	]	]	PUNCT
ejpam-2596	126	22	in	in	ADP
ejpam-2596	126	23	1951	1951	NUM
ejpam-2596	126	24	and	and	CCONJ
ejpam-2596	126	25	schoenberg	schoenberg	PROPN
ejpam-2596	127	1	[	[	X
ejpam-2596	127	2	27	27	NUM
ejpam-2596	127	3	]	]	PUNCT
ejpam-2596	127	4	independently	independently	ADV
ejpam-2596	127	5	for	for	ADP
ejpam-2596	127	6	real	real	ADJ
ejpam-2596	127	7	sequences	sequence	NOUN
ejpam-2596	127	8	.	.	PUNCT
ejpam-2596	128	1	later	later	ADV
ejpam-2596	128	2	on	on	ADP
ejpam-2596	128	3	developed	develop	VERB
ejpam-2596	128	4	by	by	ADP
ejpam-2596	128	5	fridy	fridy	ADJ
ejpam-2596	128	6	[	[	X
ejpam-2596	128	7	12	12	NUM
ejpam-2596	128	8	]	]	PUNCT
ejpam-2596	128	9	.	.	PUNCT
ejpam-2596	129	1	recently	recently	ADV
ejpam-2596	129	2	,	,	PUNCT
ejpam-2596	129	3	alotaibi	alotaibi	NOUN
ejpam-2596	129	4	and	and	CCONJ
ejpam-2596	129	5	alroqi	alroqi	VERB
ejpam-2596	130	1	[	[	X
ejpam-2596	130	2	1	1	NUM
ejpam-2596	130	3	]	]	PUNCT
ejpam-2596	130	4	extended	extend	VERB
ejpam-2596	130	5	this	this	DET
ejpam-2596	130	6	notion	notion	NOUN
ejpam-2596	130	7	in	in	ADP
ejpam-2596	130	8	paranormed	paranormed	ADJ
ejpam-2596	130	9	space	space	NOUN
ejpam-2596	130	10	.	.	PUNCT
ejpam-2596	131	1	we	we	PRON
ejpam-2596	131	2	may	may	AUX
ejpam-2596	131	3	refer	refer	VERB
ejpam-2596	131	4	to	to	ADP
ejpam-2596	131	5	[	[	X
ejpam-2596	131	6	4	4	NUM
ejpam-2596	131	7	,	,	PUNCT
ejpam-2596	131	8	5	5	NUM
ejpam-2596	131	9	]	]	PUNCT
ejpam-2596	131	10	which	which	PRON
ejpam-2596	131	11	are	be	AUX
ejpam-2596	131	12	related	relate	VERB
ejpam-2596	131	13	with	with	ADP
ejpam-2596	131	14	this	this	DET
ejpam-2596	131	15	topic	topic	NOUN
ejpam-2596	131	16	.	.	PUNCT
ejpam-2596	132	1	k.	k.	PROPN
ejpam-2596	132	2	raj	raj	PROPN
ejpam-2596	132	3	,	,	PUNCT
ejpam-2596	132	4	r.	r.	PROPN
ejpam-2596	132	5	anand	anand	PROPN
ejpam-2596	132	6	,	,	PUNCT
ejpam-2596	132	7	s.	s.	PROPN
ejpam-2596	132	8	jamwal	jamwal	PROPN
ejpam-2596	132	9	/	/	SYM
ejpam-2596	132	10	eur	eur	PROPN
ejpam-2596	132	11	.	.	PUNCT
ejpam-2596	133	1	j.	j.	PROPN
ejpam-2596	133	2	pure	pure	PROPN
ejpam-2596	133	3	appl	appl	PROPN
ejpam-2596	133	4	.	.	PROPN
ejpam-2596	133	5	math	math	PROPN
ejpam-2596	133	6	,	,	PUNCT
ejpam-2596	133	7	9	9	NUM
ejpam-2596	133	8	(	(	PUNCT
ejpam-2596	133	9	2016	2016	NUM
ejpam-2596	133	10	)	)	PUNCT
ejpam-2596	133	11	,	,	PUNCT
ejpam-2596	133	12	464	464	NUM
ejpam-2596	133	13	-	-	SYM
ejpam-2596	133	14	478	478	NUM
ejpam-2596	133	15	467	467	NUM
ejpam-2596	133	16	lorentz	lorentz	PROPN
ejpam-2596	134	1	[	[	X
ejpam-2596	134	2	18	18	NUM
ejpam-2596	134	3	]	]	PUNCT
ejpam-2596	134	4	proved	prove	VERB
ejpam-2596	134	5	that	that	SCONJ
ejpam-2596	134	6	x	x	PRON
ejpam-2596	134	7	is	be	AUX
ejpam-2596	134	8	almost	almost	ADV
ejpam-2596	134	9	convergent	convergent	ADJ
ejpam-2596	134	10	to	to	ADP
ejpam-2596	134	11	a	a	DET
ejpam-2596	134	12	number	number	NOUN
ejpam-2596	134	13	λ	λ	NOUN
ejpam-2596	134	14	if	if	SCONJ
ejpam-2596	134	15	and	and	CCONJ
ejpam-2596	135	1	only	only	ADV
ejpam-2596	136	1	if	if	SCONJ
ejpam-2596	136	2	lim	lim	PROPN
ejpam-2596	136	3	n→∞	n→∞	NUM
ejpam-2596	136	4	�	�	PROPN
ejpam-2596	136	5	�	�	PROPN
ejpam-2596	136	6	�	�	PROPN
ejpam-2596	136	7	�	�	PROPN
ejpam-2596	136	8	�	�	PROPN
ejpam-2596	136	9	1	1	NUM
ejpam-2596	136	10	n	n	CCONJ
ejpam-2596	136	11	n−1	n−1	PROPN
ejpam-2596	136	12	∑	∑	PROPN
ejpam-2596	136	13	i=0	i=0	PROPN
ejpam-2596	136	14	(	(	PUNCT
ejpam-2596	136	15	x	x	PUNCT
ejpam-2596	136	16	i+q	i+q	VERB
ejpam-2596	136	17	−λ	−λ	ADJ
ejpam-2596	136	18	)	)	PUNCT
ejpam-2596	136	19	�	�	PROPN
ejpam-2596	136	20	�	�	PROPN
ejpam-2596	136	21	�	�	PROPN
ejpam-2596	136	22	�	�	PROPN
ejpam-2596	136	23	�	�	PROPN
ejpam-2596	136	24	=	=	PUNCT
ejpam-2596	136	25	0,uniformly	0,uniformly	ADV
ejpam-2596	136	26	in	in	ADP
ejpam-2596	136	27	q	q	PRON
ejpam-2596	136	28	≥	≥	NUM
ejpam-2596	136	29	1	1	NUM
ejpam-2596	136	30	.	.	PUNCT
ejpam-2596	136	31	in	in	ADP
ejpam-2596	136	32	other	other	ADJ
ejpam-2596	136	33	words	word	NOUN
ejpam-2596	136	34	,	,	PUNCT
ejpam-2596	136	35	he	he	PRON
ejpam-2596	136	36	showed	show	VERB
ejpam-2596	136	37	that	that	SCONJ
ejpam-2596	136	38	x	x	PRON
ejpam-2596	136	39	is	be	AUX
ejpam-2596	136	40	almost	almost	ADV
ejpam-2596	136	41	convergent	convergent	ADJ
ejpam-2596	136	42	to	to	ADP
ejpam-2596	136	43	a	a	DET
ejpam-2596	136	44	number	number	NOUN
ejpam-2596	136	45	λ	λ	NOUN
ejpam-2596	136	46	if	if	SCONJ
ejpam-2596	136	47	and	and	CCONJ
ejpam-2596	136	48	only	only	ADV
ejpam-2596	136	49	if	if	SCONJ
ejpam-2596	136	50	tnq(x)→	tnq(x)→	PROPN
ejpam-2596	136	51	λ	λ	PROPN
ejpam-2596	136	52	as	as	ADP
ejpam-2596	136	53	n→∞	n→∞	NUM
ejpam-2596	136	54	,	,	PUNCT
ejpam-2596	136	55	uniformly	uniformly	ADV
ejpam-2596	136	56	in	in	ADP
ejpam-2596	136	57	q	q	PRON
ejpam-2596	136	58	≥	≥	NUM
ejpam-2596	136	59	1	1	NUM
ejpam-2596	136	60	,	,	PUNCT
ejpam-2596	136	61	where	where	SCONJ
ejpam-2596	136	62	tnq(x	tnq(x	NOUN
ejpam-2596	136	63	)	)	PUNCT
ejpam-2596	136	64	=	=	PUNCT
ejpam-2596	137	1	xq	xq	PROPN
ejpam-2596	138	1	+	+	PROPN
ejpam-2596	138	2	xq+1	xq+1	X
ejpam-2596	139	1	+	+	CCONJ
ejpam-2596	139	2	.	.	PUNCT
ejpam-2596	139	3	.	.	PUNCT
ejpam-2596	140	1	.+	.+	NOUN
ejpam-2596	141	1	xq+n−1	xq+n−1	PROPN
ejpam-2596	141	2	n	n	PROPN
ejpam-2596	141	3	(	(	PUNCT
ejpam-2596	141	4	n	n	CCONJ
ejpam-2596	141	5	∈	∈	PROPN
ejpam-2596	141	6	n=	n=	ADJ
ejpam-2596	141	7	{	{	PUNCT
ejpam-2596	141	8	1,2	1,2	NUM
ejpam-2596	141	9	,	,	PUNCT
ejpam-2596	141	10	3	3	NUM
ejpam-2596	141	11	,	,	PUNCT
ejpam-2596	141	12	.	.	PUNCT
ejpam-2596	141	13	.	.	PUNCT
ejpam-2596	141	14	.	.	PUNCT
ejpam-2596	142	1	,	,	PUNCT
ejpam-2596	142	2	}	}	PUNCT
ejpam-2596	142	3	)	)	PUNCT
ejpam-2596	142	4	.	.	PUNCT
ejpam-2596	143	1	let	let	VERB
ejpam-2596	143	2	f	f	PRON
ejpam-2596	143	3	be	be	AUX
ejpam-2596	143	4	a	a	DET
ejpam-2596	143	5	set	set	NOUN
ejpam-2596	143	6	of	of	ADP
ejpam-2596	143	7	all	all	DET
ejpam-2596	143	8	almost	almost	ADV
ejpam-2596	143	9	convergent	convergent	ADJ
ejpam-2596	143	10	sequences	sequence	NOUN
ejpam-2596	143	11	.	.	PUNCT
ejpam-2596	144	1	we	we	PRON
ejpam-2596	144	2	write	write	VERB
ejpam-2596	144	3	f	f	PROPN
ejpam-2596	144	4	−	−	PROPN
ejpam-2596	144	5	lim	lim	PROPN
ejpam-2596	144	6	x	x	PUNCT
ejpam-2596	145	1	=	=	PUNCT
ejpam-2596	145	2	λ	λ	X
ejpam-2596	145	3	if	if	SCONJ
ejpam-2596	145	4	x	x	PRON
ejpam-2596	145	5	is	be	AUX
ejpam-2596	145	6	almost	almost	ADV
ejpam-2596	145	7	convergent	convergent	ADJ
ejpam-2596	145	8	to	to	ADP
ejpam-2596	145	9	λ	λ	PROPN
ejpam-2596	145	10	.	.	PUNCT
ejpam-2596	146	1	maddox	maddox	PROPN
ejpam-2596	147	1	[	[	X
ejpam-2596	147	2	20	20	NUM
ejpam-2596	147	3	]	]	PUNCT
ejpam-2596	147	4	has	have	AUX
ejpam-2596	147	5	defined	define	VERB
ejpam-2596	147	6	that	that	SCONJ
ejpam-2596	147	7	x	x	PRON
ejpam-2596	147	8	is	be	AUX
ejpam-2596	147	9	strongly	strongly	ADV
ejpam-2596	147	10	almost	almost	ADV
ejpam-2596	147	11	convergent	convergent	ADJ
ejpam-2596	147	12	to	to	ADP
ejpam-2596	147	13	a	a	DET
ejpam-2596	147	14	number	number	NOUN
ejpam-2596	147	15	λ	λ	NOUN
ejpam-2596	147	16	if	if	SCONJ
ejpam-2596	147	17	and	and	CCONJ
ejpam-2596	147	18	only	only	ADV
ejpam-2596	147	19	if	if	SCONJ
ejpam-2596	147	20	tnq(|x	tnq(|x	ADJ
ejpam-2596	147	21	−λ|	−λ|	NOUN
ejpam-2596	147	22	)	)	PUNCT
ejpam-2596	147	23	=	=	SYM
ejpam-2596	147	24	1	1	NUM
ejpam-2596	147	25	n	n	X
ejpam-2596	147	26	n−1	n−1	PROPN
ejpam-2596	147	27	∑	∑	ADP
ejpam-2596	147	28	i=0	i=0	PROPN
ejpam-2596	147	29	�	�	PROPN
ejpam-2596	147	30	�	�	PROPN
ejpam-2596	147	31	�	�	PROPN
ejpam-2596	147	32	x	x	PROPN
ejpam-2596	147	33	i+q	i+q	VERB
ejpam-2596	147	34	−λ	−λ	PROPN
ejpam-2596	147	35	�	�	PROPN
ejpam-2596	147	36	�	�	PROPN
ejpam-2596	147	37	�	�	PROPN
ejpam-2596	147	38	→	→	SYM
ejpam-2596	147	39	0	0	NUM
ejpam-2596	147	40	as	as	ADP
ejpam-2596	147	41	n→∞	n→∞	NUM
ejpam-2596	147	42	,	,	PUNCT
ejpam-2596	147	43	uniformly	uniformly	ADV
ejpam-2596	147	44	in	in	ADP
ejpam-2596	147	45	q	q	PRON
ejpam-2596	147	46	≥	≥	NUM
ejpam-2596	147	47	1	1	NUM
ejpam-2596	147	48	.	.	PUNCT
ejpam-2596	148	1	by	by	ADP
ejpam-2596	148	2	[	[	PUNCT
ejpam-2596	148	3	f	f	X
ejpam-2596	148	4	]	]	X
ejpam-2596	148	5	we	we	PRON
ejpam-2596	148	6	denote	denote	VERB
ejpam-2596	148	7	the	the	DET
ejpam-2596	148	8	set	set	NOUN
ejpam-2596	148	9	of	of	ADP
ejpam-2596	148	10	all	all	DET
ejpam-2596	148	11	strongly	strongly	ADV
ejpam-2596	148	12	almost	almost	ADV
ejpam-2596	148	13	convergent	convergent	ADJ
ejpam-2596	148	14	sequences	sequence	NOUN
ejpam-2596	148	15	.	.	PUNCT
ejpam-2596	149	1	if	if	SCONJ
ejpam-2596	149	2	x	x	PRON
ejpam-2596	149	3	is	be	AUX
ejpam-2596	149	4	strongly	strongly	ADV
ejpam-2596	149	5	almost	almost	ADV
ejpam-2596	149	6	convergent	convergent	ADJ
ejpam-2596	149	7	to	to	ADP
ejpam-2596	149	8	λ	λ	VERB
ejpam-2596	149	9	we	we	PRON
ejpam-2596	149	10	write	write	VERB
ejpam-2596	149	11	[	[	PUNCT
ejpam-2596	149	12	f	f	X
ejpam-2596	149	13	]	]	PUNCT
ejpam-2596	149	14	−	−	PROPN
ejpam-2596	150	1	lim	lim	PROPN
ejpam-2596	150	2	x	x	X
ejpam-2596	150	3	=	=	SYM
ejpam-2596	150	4	λ	λ	X
ejpam-2596	150	5	.	.	PUNCT
ejpam-2596	150	6	let	let	VERB
ejpam-2596	150	7	l∞	l∞	NOUN
ejpam-2596	150	8	be	be	AUX
ejpam-2596	150	9	the	the	DET
ejpam-2596	150	10	set	set	NOUN
ejpam-2596	150	11	of	of	ADP
ejpam-2596	150	12	all	all	DET
ejpam-2596	150	13	bounded	bounded	ADJ
ejpam-2596	150	14	sequences	sequence	NOUN
ejpam-2596	150	15	,	,	PUNCT
ejpam-2596	150	16	it	it	PRON
ejpam-2596	150	17	is	be	AUX
ejpam-2596	150	18	easy	easy	ADJ
ejpam-2596	150	19	to	to	PART
ejpam-2596	150	20	see	see	VERB
ejpam-2596	151	1	that	that	PRON
ejpam-2596	151	2	[	[	PUNCT
ejpam-2596	151	3	f	f	X
ejpam-2596	151	4	]	]	PUNCT
ejpam-2596	151	5	⊂	⊂	PROPN
ejpam-2596	151	6	f	f	PROPN
ejpam-2596	152	1	⊂	⊂	PROPN
ejpam-2596	152	2	l∞	l∞	PROPN
ejpam-2596	152	3	and	and	CCONJ
ejpam-2596	152	4	each	each	DET
ejpam-2596	152	5	inclusion	inclusion	NOUN
ejpam-2596	152	6	is	be	AUX
ejpam-2596	152	7	proper	proper	ADJ
ejpam-2596	152	8	.	.	PUNCT
ejpam-2596	153	1	in	in	ADP
ejpam-2596	153	2	[	[	X
ejpam-2596	153	3	8	8	NUM
ejpam-2596	153	4	]	]	X
ejpam-2596	153	5	konca	konca	NOUN
ejpam-2596	153	6	and	and	CCONJ
ejpam-2596	153	7	başarir	başarir	NOUN
ejpam-2596	153	8	defined	define	VERB
ejpam-2596	153	9	the	the	DET
ejpam-2596	153	10	almost	almost	ADV
ejpam-2596	153	11	convergent	convergent	ADJ
ejpam-2596	153	12	sequences	sequence	NOUN
ejpam-2596	153	13	f	f	PROPN
ejpam-2596	153	14	and	and	CCONJ
ejpam-2596	153	15	strongly	strongly	ADV
ejpam-2596	153	16	almost	almost	ADV
ejpam-2596	153	17	convergent	convergent	ADJ
ejpam-2596	153	18	sequences	sequence	NOUN
ejpam-2596	154	1	[	[	X
ejpam-2596	154	2	f	f	X
ejpam-2596	154	3	]	]	X
ejpam-2596	154	4	,	,	PUNCT
ejpam-2596	154	5	in	in	ADP
ejpam-2596	154	6	2	2	NUM
ejpam-2596	154	7	-	-	PUNCT
ejpam-2596	154	8	normed	norme	VERB
ejpam-2596	154	9	spaces	space	NOUN
ejpam-2596	154	10	for	for	ADP
ejpam-2596	154	11	every	every	DET
ejpam-2596	154	12	z	z	NOUN
ejpam-2596	154	13	∈	∈	PROPN
ejpam-2596	154	14	x	x	X
ejpam-2596	154	15	.	.	PUNCT
ejpam-2596	155	1	they	they	PRON
ejpam-2596	155	2	have	have	AUX
ejpam-2596	155	3	also	also	ADV
ejpam-2596	155	4	introduced	introduce	VERB
ejpam-2596	155	5	the	the	DET
ejpam-2596	155	6	space	space	NOUN
ejpam-2596	155	7	of	of	ADP
ejpam-2596	155	8	lacunary	lacunary	ADJ
ejpam-2596	155	9	almost	almost	ADV
ejpam-2596	155	10	convergent	convergent	ADJ
ejpam-2596	155	11	sequences	sequence	NOUN
ejpam-2596	155	12	fθ	fθ	ADJ
ejpam-2596	155	13	and	and	CCONJ
ejpam-2596	155	14	lacunary	lacunary	ADJ
ejpam-2596	155	15	strongly	strongly	ADV
ejpam-2596	155	16	almost	almost	ADV
ejpam-2596	155	17	convergent	convergent	ADJ
ejpam-2596	155	18	sequences	sequence	NOUN
ejpam-2596	156	1	[	[	X
ejpam-2596	156	2	fθ	fθ	X
ejpam-2596	156	3	]	]	X
ejpam-2596	156	4	,	,	PUNCT
ejpam-2596	156	5	respectively	respectively	ADV
ejpam-2596	156	6	in	in	ADP
ejpam-2596	156	7	2	2	NUM
ejpam-2596	156	8	-	-	PUNCT
ejpam-2596	156	9	normed	norme	VERB
ejpam-2596	156	10	spaces	space	NOUN
ejpam-2596	156	11	.	.	PUNCT
ejpam-2596	157	1	let	let	VERB
ejpam-2596	157	2	m	m	VERB
ejpam-2596	157	3	=	=	SYM
ejpam-2596	157	4	(	(	PUNCT
ejpam-2596	157	5	mk	mk	X
ejpam-2596	157	6	)	)	PUNCT
ejpam-2596	157	7	be	be	VERB
ejpam-2596	157	8	a	a	DET
ejpam-2596	157	9	sequence	sequence	NOUN
ejpam-2596	157	10	of	of	ADP
ejpam-2596	157	11	orlicz	orlicz	ADJ
ejpam-2596	157	12	functions	function	NOUN
ejpam-2596	157	13	,	,	PUNCT
ejpam-2596	157	14	(	(	PUNCT
ejpam-2596	157	15	x	x	X
ejpam-2596	157	16	,	,	PUNCT
ejpam-2596	157	17	||	||	PROPN
ejpam-2596	157	18	·	·	PUNCT
ejpam-2596	157	19	,	,	PUNCT
ejpam-2596	157	20	.	.	PUNCT
ejpam-2596	157	21	.	.	PUNCT
ejpam-2596	158	1	.	.	PUNCT
ejpam-2596	159	1	,	,	PUNCT
ejpam-2596	159	2	·	·	PUNCT
ejpam-2596	159	3	||	||	NUM
ejpam-2596	159	4	)	)	PUNCT
ejpam-2596	159	5	is	be	AUX
ejpam-2596	159	6	a	a	DET
ejpam-2596	159	7	n	n	ADV
ejpam-2596	159	8	-	-	PUNCT
ejpam-2596	159	9	normed	norme	VERB
ejpam-2596	159	10	space	space	NOUN
ejpam-2596	159	11	and	and	CCONJ
ejpam-2596	159	12	p	p	NOUN
ejpam-2596	159	13	=	=	PUNCT
ejpam-2596	159	14	(	(	PUNCT
ejpam-2596	159	15	pk	pk	NOUN
ejpam-2596	159	16	)	)	PUNCT
ejpam-2596	159	17	be	be	AUX
ejpam-2596	159	18	a	a	DET
ejpam-2596	159	19	bounded	bounded	ADJ
ejpam-2596	159	20	sequence	sequence	NOUN
ejpam-2596	159	21	of	of	ADP
ejpam-2596	159	22	positive	positive	ADJ
ejpam-2596	159	23	real	real	ADJ
ejpam-2596	159	24	numbers	number	NOUN
ejpam-2596	159	25	.	.	PUNCT
ejpam-2596	160	1	by	by	ADP
ejpam-2596	160	2	s(n−	s(n−	PROPN
ejpam-2596	160	3	x	x	X
ejpam-2596	160	4	)	)	PUNCT
ejpam-2596	160	5	we	we	PRON
ejpam-2596	160	6	denote	denote	VERB
ejpam-2596	160	7	the	the	DET
ejpam-2596	160	8	space	space	NOUN
ejpam-2596	160	9	of	of	ADP
ejpam-2596	160	10	all	all	DET
ejpam-2596	160	11	sequences	sequence	NOUN
ejpam-2596	160	12	defined	define	VERB
ejpam-2596	160	13	over	over	ADP
ejpam-2596	160	14	(	(	PUNCT
ejpam-2596	160	15	x	x	INTJ
ejpam-2596	160	16	,	,	PUNCT
ejpam-2596	160	17	||	||	PROPN
ejpam-2596	160	18	·	·	PUNCT
ejpam-2596	160	19	,	,	PUNCT
ejpam-2596	160	20	.	.	PUNCT
ejpam-2596	160	21	.	.	PUNCT
ejpam-2596	161	1	.	.	PUNCT
ejpam-2596	162	1	,	,	PUNCT
ejpam-2596	162	2	·	·	PUNCT
ejpam-2596	162	3	||	||	NUM
ejpam-2596	162	4	)	)	PUNCT
ejpam-2596	162	5	.	.	PUNCT
ejpam-2596	163	1	in	in	ADP
ejpam-2596	163	2	this	this	DET
ejpam-2596	163	3	paper	paper	NOUN
ejpam-2596	163	4	we	we	PRON
ejpam-2596	163	5	define	define	VERB
ejpam-2596	163	6	the	the	DET
ejpam-2596	163	7	following	follow	VERB
ejpam-2596	163	8	sequence	sequence	NOUN
ejpam-2596	163	9	spaces	space	VERB
ejpam-2596	163	10	:	:	PUNCT
ejpam-2596	163	11	�	�	PROPN
ejpam-2596	163	12	m	m	PROPN
ejpam-2596	163	13	,	,	PUNCT
ejpam-2596	163	14	f	f	X
ejpam-2596	163	15	,	,	PUNCT
ejpam-2596	163	16	p,‖	p,‖	PROPN
ejpam-2596	163	17	·	·	PUNCT
ejpam-2596	163	18	,	,	PUNCT
ejpam-2596	163	19	.	.	PUNCT
ejpam-2596	163	20	.	.	PUNCT
ejpam-2596	164	1	.	.	PUNCT
ejpam-2596	165	1	,	,	PUNCT
ejpam-2596	165	2	·	·	PUNCT
ejpam-2596	165	3	‖	‖	PROPN
ejpam-2596	165	4	�	�	PROPN
ejpam-2596	165	5	=	=	SYM
ejpam-2596	165	6	¦	¦	PROPN
ejpam-2596	165	7	x	x	SYM
ejpam-2596	165	8	∈	∈	PROPN
ejpam-2596	165	9	s(n−	s(n−	PROPN
ejpam-2596	165	10	x	x	X
ejpam-2596	165	11	)	)	PUNCT
ejpam-2596	165	12	:	:	PUNCT
ejpam-2596	166	1	lim	lim	PROPN
ejpam-2596	166	2	n→∞	n→∞	NUM
ejpam-2596	166	3	∞	∞	PROPN
ejpam-2596	166	4	∑	∑	PUNCT
ejpam-2596	166	5	k=1	k=1	PROPN
ejpam-2596	166	6	�	�	PROPN
ejpam-2596	166	7	mk	mk	PROPN
ejpam-2596	166	8	�	�	PROPN
ejpam-2596	166	9	tnq(x	tnq(x	PROPN
ejpam-2596	166	10	−λ	−λ	NOUN
ejpam-2596	166	11	)	)	PUNCT
ejpam-2596	166	12	ρ	ρ	PROPN
ejpam-2596	166	13	,	,	PUNCT
ejpam-2596	166	14	z1	z1	PROPN
ejpam-2596	166	15	,	,	PUNCT
ejpam-2596	166	16	.	.	PUNCT
ejpam-2596	166	17	.	.	PUNCT
ejpam-2596	167	1	.	.	PUNCT
ejpam-2596	168	1	,	,	PUNCT
ejpam-2596	168	2	zn−1	zn−1	PROPN
ejpam-2596	168	3	�	�	PROPN
ejpam-2596	168	4	�	�	PROPN
ejpam-2596	168	5	pk	pk	NOUN
ejpam-2596	168	6	=	=	SYM
ejpam-2596	168	7	0	0	NUM
ejpam-2596	168	8	,	,	PUNCT
ejpam-2596	168	9	uniformly	uniformly	ADV
ejpam-2596	168	10	in	in	ADP
ejpam-2596	168	11	q	q	PRON
ejpam-2596	168	12	≥	≥	NUM
ejpam-2596	168	13	1	1	NUM
ejpam-2596	168	14	,	,	PUNCT
ejpam-2596	168	15	for	for	ADP
ejpam-2596	168	16	some	some	DET
ejpam-2596	168	17	ρ	ρ	NOUN
ejpam-2596	168	18	>	>	X
ejpam-2596	168	19	0	0	PUNCT
ejpam-2596	168	20	and	and	CCONJ
ejpam-2596	168	21	for	for	ADP
ejpam-2596	168	22	every	every	DET
ejpam-2596	168	23	nonzero	nonzero	ADJ
ejpam-2596	168	24	z1	z1	NOUN
ejpam-2596	168	25	,	,	PUNCT
ejpam-2596	168	26	.	.	PUNCT
ejpam-2596	168	27	.	.	PUNCT
ejpam-2596	169	1	.	.	PUNCT
ejpam-2596	170	1	,	,	PUNCT
ejpam-2596	170	2	zn−1	zn−1	PROPN
ejpam-2596	170	3	∈	∈	PROPN
ejpam-2596	170	4	x	x	X
ejpam-2596	170	5	©	©	PROPN
ejpam-2596	170	6	and	and	CCONJ
ejpam-2596	170	7	�	�	PROPN
ejpam-2596	170	8	m	m	PRON
ejpam-2596	170	9	,	,	PUNCT
ejpam-2596	171	1	[	[	X
ejpam-2596	171	2	f	f	X
ejpam-2596	171	3	]	]	X
ejpam-2596	171	4	,	,	PUNCT
ejpam-2596	171	5	p,‖	p,‖	PROPN
ejpam-2596	171	6	·	·	PUNCT
ejpam-2596	171	7	,	,	PUNCT
ejpam-2596	171	8	.	.	PUNCT
ejpam-2596	171	9	.	.	PUNCT
ejpam-2596	171	10	.	.	PUNCT
ejpam-2596	172	1	,	,	PUNCT
ejpam-2596	172	2	·	·	PUNCT
ejpam-2596	172	3	‖	‖	PROPN
ejpam-2596	172	4	�	�	PROPN
ejpam-2596	172	5	=	=	SYM
ejpam-2596	172	6	¦	¦	PROPN
ejpam-2596	172	7	x	x	SYM
ejpam-2596	172	8	∈	∈	PROPN
ejpam-2596	172	9	s(n−	s(n−	PROPN
ejpam-2596	172	10	x	x	X
ejpam-2596	172	11	)	)	PUNCT
ejpam-2596	172	12	:	:	PUNCT
ejpam-2596	173	1	lim	lim	PROPN
ejpam-2596	173	2	n→∞	n→∞	NUM
ejpam-2596	173	3	∞	∞	PROPN
ejpam-2596	173	4	∑	∑	PUNCT
ejpam-2596	173	5	k=1	k=1	PROPN
ejpam-2596	173	6	�	�	PROPN
ejpam-2596	173	7	mk	mk	PROPN
ejpam-2596	173	8	�	�	PROPN
ejpam-2596	173	9	tnq	tnq	PROPN
ejpam-2596	173	10	�	�	PROPN
ejpam-2596	173	11	x	x	PUNCT
ejpam-2596	173	12	−λ	−λ	PROPN
ejpam-2596	173	13	ρ	ρ	PROPN
ejpam-2596	173	14	,	,	PUNCT
ejpam-2596	173	15	z1	z1	PROPN
ejpam-2596	173	16	,	,	PUNCT
ejpam-2596	173	17	.	.	PUNCT
ejpam-2596	173	18	.	.	PUNCT
ejpam-2596	174	1	.	.	PUNCT
ejpam-2596	175	1	,	,	PUNCT
ejpam-2596	175	2	zn−1	zn−1	PROPN
ejpam-2596	175	3	�	�	PROPN
ejpam-2596	175	4	�	�	PROPN
ejpam-2596	175	5	�	�	PROPN
ejpam-2596	175	6	pk	pk	NOUN
ejpam-2596	175	7	=	=	SYM
ejpam-2596	175	8	0	0	NUM
ejpam-2596	175	9	,	,	PUNCT
ejpam-2596	175	10	uniformly	uniformly	ADV
ejpam-2596	175	11	in	in	ADP
ejpam-2596	175	12	q	q	PRON
ejpam-2596	175	13	≥	≥	NUM
ejpam-2596	175	14	1	1	NUM
ejpam-2596	175	15	,	,	PUNCT
ejpam-2596	175	16	for	for	ADP
ejpam-2596	175	17	some	some	DET
ejpam-2596	175	18	ρ	ρ	NOUN
ejpam-2596	175	19	>	>	X
ejpam-2596	175	20	0	0	PUNCT
ejpam-2596	175	21	and	and	CCONJ
ejpam-2596	175	22	for	for	ADP
ejpam-2596	175	23	every	every	DET
ejpam-2596	175	24	nonzero	nonzero	ADJ
ejpam-2596	175	25	z1	z1	NOUN
ejpam-2596	175	26	,	,	PUNCT
ejpam-2596	175	27	.	.	PUNCT
ejpam-2596	175	28	.	.	PUNCT
ejpam-2596	176	1	.	.	PUNCT
ejpam-2596	177	1	,	,	PUNCT
ejpam-2596	177	2	zn−1	zn−1	PROPN
ejpam-2596	177	3	∈	∈	PROPN
ejpam-2596	177	4	x	x	PUNCT
ejpam-2596	177	5	©	©	NOUN
ejpam-2596	177	6	.	.	PUNCT
ejpam-2596	178	1	we	we	PRON
ejpam-2596	178	2	write	write	VERB
ejpam-2596	178	3	�	�	PROPN
ejpam-2596	178	4	m	m	PROPN
ejpam-2596	178	5	,	,	PUNCT
ejpam-2596	178	6	f	f	X
ejpam-2596	178	7	,	,	PUNCT
ejpam-2596	178	8	p,‖	p,‖	PROPN
ejpam-2596	178	9	·	·	PUNCT
ejpam-2596	178	10	,	,	PUNCT
ejpam-2596	178	11	.	.	PUNCT
ejpam-2596	178	12	.	.	PUNCT
ejpam-2596	178	13	.	.	PUNCT
ejpam-2596	179	1	,	,	PUNCT
ejpam-2596	179	2	·	·	PUNCT
ejpam-2596	179	3	‖	‖	PROPN
ejpam-2596	179	4	�	�	PROPN
ejpam-2596	180	1	−	−	PROPN
ejpam-2596	180	2	lim	lim	PROPN
ejpam-2596	180	3	x	x	PUNCT
ejpam-2596	181	1	=	=	PUNCT
ejpam-2596	181	2	λ	λ	X
ejpam-2596	181	3	if	if	SCONJ
ejpam-2596	181	4	x	x	PRON
ejpam-2596	181	5	is	be	AUX
ejpam-2596	181	6	almost	almost	ADV
ejpam-2596	181	7	convergent	convergent	ADJ
ejpam-2596	181	8	to	to	ADP
ejpam-2596	181	9	λ	λ	PROPN
ejpam-2596	181	10	and	and	CCONJ
ejpam-2596	181	11	�	�	PROPN
ejpam-2596	181	12	m	m	PROPN
ejpam-2596	181	13	,	,	PUNCT
ejpam-2596	182	1	[	[	X
ejpam-2596	182	2	f	f	X
ejpam-2596	182	3	]	]	X
ejpam-2596	182	4	,	,	PUNCT
ejpam-2596	182	5	p,‖	p,‖	PROPN
ejpam-2596	182	6	·	·	PUNCT
ejpam-2596	182	7	,	,	PUNCT
ejpam-2596	182	8	.	.	PUNCT
ejpam-2596	182	9	.	.	PUNCT
ejpam-2596	182	10	.	.	PUNCT
ejpam-2596	183	1	,	,	PUNCT
ejpam-2596	183	2	·	·	PUNCT
ejpam-2596	183	3	‖	‖	PROPN
ejpam-2596	183	4	�	�	PROPN
ejpam-2596	184	1	−	−	PROPN
ejpam-2596	184	2	lim	lim	PROPN
ejpam-2596	184	3	x	x	PUNCT
ejpam-2596	184	4	=	=	PUNCT
ejpam-2596	184	5	λ	λ	PROPN
ejpam-2596	184	6	k.	k.	PROPN
ejpam-2596	184	7	raj	raj	PROPN
ejpam-2596	184	8	,	,	PUNCT
ejpam-2596	184	9	r.	r.	PROPN
ejpam-2596	184	10	anand	anand	PROPN
ejpam-2596	184	11	,	,	PUNCT
ejpam-2596	184	12	s.	s.	PROPN
ejpam-2596	184	13	jamwal	jamwal	PROPN
ejpam-2596	184	14	/	/	SYM
ejpam-2596	184	15	eur	eur	PROPN
ejpam-2596	184	16	.	.	PUNCT
ejpam-2596	185	1	j.	j.	PROPN
ejpam-2596	185	2	pure	pure	PROPN
ejpam-2596	185	3	appl	appl	PROPN
ejpam-2596	185	4	.	.	PROPN
ejpam-2596	185	5	math	math	PROPN
ejpam-2596	185	6	,	,	PUNCT
ejpam-2596	185	7	9	9	NUM
ejpam-2596	185	8	(	(	PUNCT
ejpam-2596	185	9	2016	2016	NUM
ejpam-2596	185	10	)	)	PUNCT
ejpam-2596	185	11	,	,	PUNCT
ejpam-2596	185	12	464	464	NUM
ejpam-2596	185	13	-	-	SYM
ejpam-2596	185	14	478	478	NUM
ejpam-2596	185	15	468	468	NUM
ejpam-2596	185	16	if	if	SCONJ
ejpam-2596	185	17	x	x	PRON
ejpam-2596	185	18	is	be	AUX
ejpam-2596	185	19	strongly	strongly	ADV
ejpam-2596	185	20	almost	almost	ADV
ejpam-2596	185	21	convergent	convergent	ADJ
ejpam-2596	185	22	to	to	ADP
ejpam-2596	185	23	λ	λ	PROPN
ejpam-2596	185	24	.	.	PUNCT
ejpam-2596	186	1	taking	take	VERB
ejpam-2596	186	2	advantage	advantage	NOUN
ejpam-2596	186	3	to	to	ADP
ejpam-2596	186	4	(	(	PUNCT
ejpam-2596	186	5	iii	iii	NOUN
ejpam-2596	186	6	)	)	PUNCT
ejpam-2596	186	7	and	and	CCONJ
ejpam-2596	186	8	(	(	PUNCT
ejpam-2596	186	9	iv	iv	X
ejpam-2596	186	10	)	)	PUNCT
ejpam-2596	186	11	conditions	condition	NOUN
ejpam-2596	186	12	of	of	ADP
ejpam-2596	186	13	n−norm	n−norm	NOUN
ejpam-2596	186	14	and	and	CCONJ
ejpam-2596	186	15	definitions	definition	NOUN
ejpam-2596	186	16	of	of	ADP
ejpam-2596	186	17	�	�	PROPN
ejpam-2596	186	18	m	m	PROPN
ejpam-2596	186	19	,	,	PUNCT
ejpam-2596	186	20	f	f	X
ejpam-2596	186	21	,	,	PUNCT
ejpam-2596	186	22	p,‖	p,‖	PROPN
ejpam-2596	186	23	·	·	PUNCT
ejpam-2596	186	24	,	,	PUNCT
ejpam-2596	186	25	.	.	PUNCT
ejpam-2596	186	26	.	.	PUNCT
ejpam-2596	187	1	.	.	PUNCT
ejpam-2596	188	1	,	,	PUNCT
ejpam-2596	188	2	·	·	PUNCT
ejpam-2596	188	3	‖	‖	PROPN
ejpam-2596	188	4	�	�	PROPN
ejpam-2596	188	5	and	and	CCONJ
ejpam-2596	188	6	�	�	PROPN
ejpam-2596	188	7	m	m	PROPN
ejpam-2596	188	8	,	,	PUNCT
ejpam-2596	189	1	[	[	X
ejpam-2596	189	2	f	f	X
ejpam-2596	189	3	]	]	X
ejpam-2596	189	4	,	,	PUNCT
ejpam-2596	189	5	p,‖	p,‖	PROPN
ejpam-2596	189	6	·	·	PUNCT
ejpam-2596	189	7	,	,	PUNCT
ejpam-2596	189	8	.	.	PUNCT
ejpam-2596	189	9	.	.	PUNCT
ejpam-2596	189	10	.	.	PUNCT
ejpam-2596	190	1	,	,	PUNCT
ejpam-2596	190	2	·	·	PUNCT
ejpam-2596	190	3	‖	‖	PROPN
ejpam-2596	190	4	�	�	PROPN
ejpam-2596	190	5	,	,	PUNCT
ejpam-2596	190	6	we	we	PRON
ejpam-2596	190	7	have	have	VERB
ejpam-2596	190	8	the	the	DET
ejpam-2596	190	9	inclusion	inclusion	NOUN
ejpam-2596	190	10	�	�	PROPN
ejpam-2596	190	11	m	m	PROPN
ejpam-2596	190	12	,	,	PUNCT
ejpam-2596	191	1	[	[	X
ejpam-2596	191	2	f	f	X
ejpam-2596	191	3	]	]	X
ejpam-2596	191	4	,	,	PUNCT
ejpam-2596	191	5	p,‖	p,‖	PROPN
ejpam-2596	191	6	·	·	PUNCT
ejpam-2596	191	7	,	,	PUNCT
ejpam-2596	191	8	.	.	PUNCT
ejpam-2596	191	9	.	.	PUNCT
ejpam-2596	191	10	.	.	PUNCT
ejpam-2596	192	1	,	,	PUNCT
ejpam-2596	192	2	·	·	PUNCT
ejpam-2596	192	3	‖	‖	PROPN
ejpam-2596	192	4	�	�	PROPN
ejpam-2596	192	5	⊂	⊂	PROPN
ejpam-2596	192	6	�	�	PROPN
ejpam-2596	192	7	m	m	PROPN
ejpam-2596	192	8	,	,	PUNCT
ejpam-2596	192	9	f	f	X
ejpam-2596	192	10	,	,	PUNCT
ejpam-2596	192	11	p,‖	p,‖	PROPN
ejpam-2596	192	12	·	·	PUNCT
ejpam-2596	192	13	,	,	PUNCT
ejpam-2596	192	14	.	.	PUNCT
ejpam-2596	192	15	.	.	PUNCT
ejpam-2596	192	16	.	.	PUNCT
ejpam-2596	193	1	,	,	PUNCT
ejpam-2596	193	2	·	·	PUNCT
ejpam-2596	193	3	‖	‖	PROPN
ejpam-2596	193	4	�	�	PROPN
ejpam-2596	193	5	⊂	⊂	PROPN
ejpam-2596	193	6	�	�	PROPN
ejpam-2596	193	7	m	m	PROPN
ejpam-2596	193	8	,	,	PUNCT
ejpam-2596	193	9	l∞	l∞	PROPN
ejpam-2596	193	10	,	,	PUNCT
ejpam-2596	193	11	p,‖	p,‖	PROPN
ejpam-2596	193	12	·	·	PUNCT
ejpam-2596	193	13	,	,	PUNCT
ejpam-2596	193	14	.	.	PUNCT
ejpam-2596	193	15	.	.	PUNCT
ejpam-2596	194	1	.	.	PUNCT
ejpam-2596	195	1	,	,	PUNCT
ejpam-2596	195	2	·	·	PUNCT
ejpam-2596	195	3	‖	‖	PROPN
ejpam-2596	195	4	�	�	PROPN
ejpam-2596	195	5	holds	hold	VERB
ejpam-2596	195	6	from	from	ADP
ejpam-2596	195	7	the	the	DET
ejpam-2596	195	8	following	follow	VERB
ejpam-2596	195	9	inequality	inequality	NOUN
ejpam-2596	195	10	:	:	PUNCT
ejpam-2596	195	11	tnq(x	tnq(x	NUM
ejpam-2596	195	12	−λ	−λ	NOUN
ejpam-2596	195	13	)	)	PUNCT
ejpam-2596	195	14	ρ	ρ	PROPN
ejpam-2596	195	15	,	,	PUNCT
ejpam-2596	195	16	z1	z1	PROPN
ejpam-2596	195	17	,	,	PUNCT
ejpam-2596	195	18	.	.	PUNCT
ejpam-2596	195	19	.	.	PUNCT
ejpam-2596	196	1	.	.	PUNCT
ejpam-2596	197	1	,	,	PUNCT
ejpam-2596	197	2	zn−1	zn−1	PROPN
ejpam-2596	197	3	=	=	SYM
ejpam-2596	197	4	1	1	NUM
ejpam-2596	197	5	n	n	NUM
ejpam-2596	197	6	∑n−1	∑n−1	ADJ
ejpam-2596	197	7	i=0	i=0	PROPN
ejpam-2596	197	8	(	(	PUNCT
ejpam-2596	197	9	x	x	PUNCT
ejpam-2596	197	10	i+q	i+q	VERB
ejpam-2596	197	11	−λ	−λ	VERB
ejpam-2596	197	12	)	)	PUNCT
ejpam-2596	197	13	ρ	ρ	PROPN
ejpam-2596	197	14	,	,	PUNCT
ejpam-2596	197	15	z1	z1	PROPN
ejpam-2596	197	16	,	,	PUNCT
ejpam-2596	197	17	.	.	PUNCT
ejpam-2596	197	18	.	.	PUNCT
ejpam-2596	197	19	.	.	PUNCT
ejpam-2596	198	1	,	,	PUNCT
ejpam-2596	198	2	zn−1	zn−1	PROPN
ejpam-2596	198	3	≤	≤	NUM
ejpam-2596	198	4	1	1	NUM
ejpam-2596	198	5	n	n	CCONJ
ejpam-2596	198	6	n−1	n−1	PROPN
ejpam-2596	198	7	∑	∑	ADP
ejpam-2596	198	8	i=0	i=0	PROPN
ejpam-2596	198	9	x	x	PUNCT
ejpam-2596	198	10	i+q	i+q	VERB
ejpam-2596	198	11	−λ	−λ	PROPN
ejpam-2596	198	12	ρ	ρ	PROPN
ejpam-2596	198	13	,	,	PUNCT
ejpam-2596	198	14	z1	z1	PROPN
ejpam-2596	198	15	,	,	PUNCT
ejpam-2596	198	16	.	.	PUNCT
ejpam-2596	198	17	.	.	PUNCT
ejpam-2596	199	1	.	.	PUNCT
ejpam-2596	200	1	,	,	PUNCT
ejpam-2596	200	2	zn−1	zn−1	PROPN
ejpam-2596	200	3	=	=	SYM
ejpam-2596	200	4	tnq	tnq	VERB
ejpam-2596	200	5	�	�	PROPN
ejpam-2596	200	6	x	x	PUNCT
ejpam-2596	200	7	−λ	−λ	PROPN
ejpam-2596	200	8	ρ	ρ	PROPN
ejpam-2596	200	9	,	,	PUNCT
ejpam-2596	200	10	z1	z1	PROPN
ejpam-2596	200	11	,	,	PUNCT
ejpam-2596	200	12	.	.	PUNCT
ejpam-2596	200	13	.	.	PUNCT
ejpam-2596	200	14	.	.	PUNCT
ejpam-2596	201	1	,	,	PUNCT
ejpam-2596	201	2	zn−1	zn−1	PROPN
ejpam-2596	201	3	�	�	PROPN
ejpam-2596	201	4	.	.	PUNCT
ejpam-2596	202	1	now	now	ADV
ejpam-2596	202	2	we	we	PRON
ejpam-2596	202	3	define	define	VERB
ejpam-2596	202	4	the	the	DET
ejpam-2596	202	5	spaces	space	NOUN
ejpam-2596	202	6	of	of	ADP
ejpam-2596	202	7	lacunary	lacunary	ADJ
ejpam-2596	202	8	almost	almost	ADV
ejpam-2596	202	9	convergent	convergent	ADJ
ejpam-2596	202	10	sequences	sequence	NOUN
ejpam-2596	202	11	�	�	PROPN
ejpam-2596	202	12	m	m	PROPN
ejpam-2596	202	13	,	,	PUNCT
ejpam-2596	202	14	fθ	fθ	INTJ
ejpam-2596	202	15	,	,	PUNCT
ejpam-2596	202	16	p,‖	p,‖	PROPN
ejpam-2596	202	17	·	·	PUNCT
ejpam-2596	202	18	,	,	PUNCT
ejpam-2596	202	19	.	.	PUNCT
ejpam-2596	202	20	.	.	PUNCT
ejpam-2596	202	21	.	.	PUNCT
ejpam-2596	203	1	,	,	PUNCT
ejpam-2596	203	2	·	·	PUNCT
ejpam-2596	203	3	‖	‖	PROPN
ejpam-2596	203	4	�	�	PROPN
ejpam-2596	203	5	and	and	CCONJ
ejpam-2596	203	6	lacunary	lacunary	ADJ
ejpam-2596	203	7	strongly	strongly	ADV
ejpam-2596	203	8	almost	almost	ADV
ejpam-2596	203	9	convergent	convergent	ADJ
ejpam-2596	203	10	sequences	sequence	NOUN
ejpam-2596	203	11	�	�	PROPN
ejpam-2596	203	12	m	m	PRON
ejpam-2596	203	13	,	,	PUNCT
ejpam-2596	204	1	[	[	X
ejpam-2596	204	2	fθ	fθ	X
ejpam-2596	204	3	]	]	X
ejpam-2596	204	4	,	,	PUNCT
ejpam-2596	204	5	p,‖	p,‖	PROPN
ejpam-2596	204	6	·	·	PUNCT
ejpam-2596	204	7	,	,	PUNCT
ejpam-2596	204	8	.	.	PUNCT
ejpam-2596	204	9	.	.	PUNCT
ejpam-2596	204	10	.	.	PUNCT
ejpam-2596	205	1	,	,	PUNCT
ejpam-2596	205	2	·	·	PUNCT
ejpam-2596	205	3	‖	‖	PROPN
ejpam-2596	205	4	�	�	PROPN
ejpam-2596	205	5	in	in	ADP
ejpam-2596	205	6	n	n	ADV
ejpam-2596	205	7	-	-	PUNCT
ejpam-2596	205	8	normed	norme	VERB
ejpam-2596	205	9	spaces	space	NOUN
ejpam-2596	205	10	as	as	SCONJ
ejpam-2596	205	11	follows	follow	VERB
ejpam-2596	205	12	:	:	PUNCT
ejpam-2596	205	13	�	�	PROPN
ejpam-2596	205	14	m	m	PROPN
ejpam-2596	205	15	,	,	PUNCT
ejpam-2596	205	16	fθ	fθ	INTJ
ejpam-2596	205	17	,	,	PUNCT
ejpam-2596	205	18	p,‖	p,‖	PROPN
ejpam-2596	205	19	·	·	PUNCT
ejpam-2596	205	20	,	,	PUNCT
ejpam-2596	205	21	.	.	PUNCT
ejpam-2596	205	22	.	.	PUNCT
ejpam-2596	206	1	.	.	PUNCT
ejpam-2596	207	1	,	,	PUNCT
ejpam-2596	207	2	·	·	PUNCT
ejpam-2596	207	3	‖	‖	PROPN
ejpam-2596	207	4	�	�	PROPN
ejpam-2596	207	5	=	=	SYM
ejpam-2596	207	6	¦	¦	PROPN
ejpam-2596	207	7	x	x	SYM
ejpam-2596	207	8	∈	∈	PROPN
ejpam-2596	207	9	s(n−	s(n−	PROPN
ejpam-2596	207	10	x	x	X
ejpam-2596	207	11	)	)	PUNCT
ejpam-2596	207	12	:	:	PUNCT
ejpam-2596	208	1	lim	lim	PROPN
ejpam-2596	208	2	r→∞	r→∞	PRON
ejpam-2596	208	3	∞	∞	PROPN
ejpam-2596	208	4	∑	∑	PUNCT
ejpam-2596	208	5	k=1	k=1	PROPN
ejpam-2596	208	6	�	�	PROPN
ejpam-2596	208	7	mk	mk	PROPN
ejpam-2596	208	8	1	1	NUM
ejpam-2596	208	9	hr	hr	PROPN
ejpam-2596	208	10	∑	∑	PUNCT
ejpam-2596	208	11	i∈ir	i∈ir	NOUN
ejpam-2596	208	12	�	�	PROPN
ejpam-2596	208	13	x	x	PRON
ejpam-2596	208	14	i+q	i+q	VERB
ejpam-2596	208	15	−λ	−λ	PROPN
ejpam-2596	208	16	ρ	ρ	PROPN
ejpam-2596	208	17	,	,	PUNCT
ejpam-2596	208	18	z1	z1	PROPN
ejpam-2596	208	19	,	,	PUNCT
ejpam-2596	208	20	.	.	PUNCT
ejpam-2596	208	21	.	.	PUNCT
ejpam-2596	209	1	.	.	PUNCT
ejpam-2596	210	1	,	,	PUNCT
ejpam-2596	210	2	zn−1	zn−1	PROPN
ejpam-2596	210	3	�	�	PROPN
ejpam-2596	210	4	�	�	PROPN
ejpam-2596	210	5	pk	pk	NOUN
ejpam-2596	210	6	=	=	SYM
ejpam-2596	210	7	0	0	NUM
ejpam-2596	210	8	,	,	PUNCT
ejpam-2596	210	9	uniformly	uniformly	ADV
ejpam-2596	210	10	in	in	ADP
ejpam-2596	210	11	q	q	PRON
ejpam-2596	210	12	≥	≥	NUM
ejpam-2596	210	13	1	1	NUM
ejpam-2596	210	14	,	,	PUNCT
ejpam-2596	210	15	for	for	ADP
ejpam-2596	210	16	some	some	DET
ejpam-2596	210	17	ρ	ρ	NOUN
ejpam-2596	210	18	>	>	X
ejpam-2596	210	19	0	0	PUNCT
ejpam-2596	210	20	and	and	CCONJ
ejpam-2596	210	21	for	for	ADP
ejpam-2596	210	22	every	every	DET
ejpam-2596	210	23	nonzero	nonzero	ADJ
ejpam-2596	210	24	z1	z1	NOUN
ejpam-2596	210	25	,	,	PUNCT
ejpam-2596	210	26	.	.	PUNCT
ejpam-2596	210	27	.	.	PUNCT
ejpam-2596	211	1	.	.	PUNCT
ejpam-2596	212	1	,	,	PUNCT
ejpam-2596	212	2	zn−1	zn−1	PROPN
ejpam-2596	212	3	∈	∈	PROPN
ejpam-2596	212	4	x	x	X
ejpam-2596	212	5	©	©	PROPN
ejpam-2596	212	6	and	and	CCONJ
ejpam-2596	212	7	�	�	PROPN
ejpam-2596	212	8	m	m	PRON
ejpam-2596	212	9	,	,	PUNCT
ejpam-2596	212	10	[	[	X
ejpam-2596	212	11	fθ	fθ	X
ejpam-2596	212	12	]	]	X
ejpam-2596	212	13	,	,	PUNCT
ejpam-2596	212	14	p,‖	p,‖	PROPN
ejpam-2596	212	15	·	·	PUNCT
ejpam-2596	212	16	,	,	PUNCT
ejpam-2596	212	17	.	.	PUNCT
ejpam-2596	212	18	.	.	PUNCT
ejpam-2596	213	1	.	.	PUNCT
ejpam-2596	214	1	,	,	PUNCT
ejpam-2596	214	2	·	·	PUNCT
ejpam-2596	214	3	‖	‖	PROPN
ejpam-2596	214	4	�	�	PROPN
ejpam-2596	214	5	=	=	SYM
ejpam-2596	214	6	¦	¦	PROPN
ejpam-2596	214	7	x	x	PUNCT
ejpam-2596	214	8	∈	∈	PROPN
ejpam-2596	214	9	s(n−x	s(n−x	NUM
ejpam-2596	214	10	)	)	PUNCT
ejpam-2596	214	11	:	:	PUNCT
ejpam-2596	215	1	lim	lim	PROPN
ejpam-2596	215	2	r→∞	r→∞	PUNCT
ejpam-2596	215	3	1	1	NUM
ejpam-2596	215	4	hr	hr	NOUN
ejpam-2596	215	5	∑	∑	PUNCT
ejpam-2596	215	6	i∈ir	i∈ir	NOUN
ejpam-2596	215	7	∞	∞	PROPN
ejpam-2596	215	8	∑	∑	PUNCT
ejpam-2596	215	9	k=1	k=1	PROPN
ejpam-2596	215	10	�	�	PROPN
ejpam-2596	215	11	mk	mk	PROPN
ejpam-2596	215	12	�	�	PROPN
ejpam-2596	215	13	x	x	PRON
ejpam-2596	215	14	i+q	i+q	VERB
ejpam-2596	215	15	−λ	−λ	PROPN
ejpam-2596	215	16	ρ	ρ	PROPN
ejpam-2596	215	17	,	,	PUNCT
ejpam-2596	215	18	z1	z1	PROPN
ejpam-2596	215	19	,	,	PUNCT
ejpam-2596	215	20	.	.	PUNCT
ejpam-2596	215	21	.	.	PUNCT
ejpam-2596	216	1	.	.	PUNCT
ejpam-2596	217	1	,	,	PUNCT
ejpam-2596	217	2	zn−1	zn−1	PROPN
ejpam-2596	217	3	�	�	PROPN
ejpam-2596	217	4	�	�	PROPN
ejpam-2596	217	5	pk	pk	NOUN
ejpam-2596	217	6	=	=	SYM
ejpam-2596	217	7	0	0	NUM
ejpam-2596	217	8	,	,	PUNCT
ejpam-2596	217	9	uniformly	uniformly	ADV
ejpam-2596	217	10	in	in	ADP
ejpam-2596	217	11	q	q	PRON
ejpam-2596	217	12	≥	≥	NUM
ejpam-2596	217	13	1	1	NUM
ejpam-2596	217	14	,	,	PUNCT
ejpam-2596	217	15	for	for	ADP
ejpam-2596	217	16	some	some	DET
ejpam-2596	217	17	ρ	ρ	NOUN
ejpam-2596	217	18	>	>	X
ejpam-2596	217	19	0	0	PUNCT
ejpam-2596	217	20	and	and	CCONJ
ejpam-2596	217	21	for	for	ADP
ejpam-2596	217	22	every	every	DET
ejpam-2596	217	23	nonzero	nonzero	ADJ
ejpam-2596	217	24	z1	z1	NOUN
ejpam-2596	217	25	,	,	PUNCT
ejpam-2596	217	26	.	.	PUNCT
ejpam-2596	217	27	.	.	PUNCT
ejpam-2596	218	1	.	.	PUNCT
ejpam-2596	219	1	,	,	PUNCT
ejpam-2596	219	2	zn−1	zn−1	PROPN
ejpam-2596	219	3	∈	∈	PROPN
ejpam-2596	219	4	x	x	PUNCT
ejpam-2596	219	5	©	©	NOUN
ejpam-2596	219	6	.	.	PUNCT
ejpam-2596	220	1	the	the	DET
ejpam-2596	220	2	main	main	ADJ
ejpam-2596	220	3	purpose	purpose	NOUN
ejpam-2596	220	4	of	of	ADP
ejpam-2596	220	5	this	this	DET
ejpam-2596	220	6	paper	paper	NOUN
ejpam-2596	220	7	is	be	AUX
ejpam-2596	220	8	to	to	PART
ejpam-2596	220	9	study	study	VERB
ejpam-2596	220	10	some	some	DET
ejpam-2596	220	11	generalized	generalized	ADJ
ejpam-2596	220	12	spaces	space	NOUN
ejpam-2596	220	13	of	of	ADP
ejpam-2596	220	14	lacunary	lacunary	ADJ
ejpam-2596	220	15	almost	almost	ADV
ejpam-2596	220	16	convergent	convergent	ADJ
ejpam-2596	220	17	sequences	sequence	NOUN
ejpam-2596	220	18	and	and	CCONJ
ejpam-2596	220	19	lacunary	lacunary	ADJ
ejpam-2596	220	20	strongly	strongly	ADV
ejpam-2596	220	21	almost	almost	ADV
ejpam-2596	220	22	convergent	convergent	ADJ
ejpam-2596	220	23	sequences	sequence	NOUN
ejpam-2596	220	24	via	via	ADP
ejpam-2596	220	25	sequence	sequence	NOUN
ejpam-2596	220	26	of	of	ADP
ejpam-2596	220	27	orlicz	orlicz	ADJ
ejpam-2596	220	28	functions	function	NOUN
ejpam-2596	220	29	over	over	ADP
ejpam-2596	220	30	n	n	ADV
ejpam-2596	220	31	-	-	PUNCT
ejpam-2596	220	32	normed	norme	VERB
ejpam-2596	220	33	spaces	space	NOUN
ejpam-2596	220	34	.	.	PUNCT
ejpam-2596	221	1	we	we	PRON
ejpam-2596	221	2	also	also	ADV
ejpam-2596	221	3	established	establish	VERB
ejpam-2596	221	4	some	some	DET
ejpam-2596	221	5	topological	topological	ADJ
ejpam-2596	221	6	properties	property	NOUN
ejpam-2596	221	7	and	and	CCONJ
ejpam-2596	221	8	prove	prove	VERB
ejpam-2596	221	9	some	some	DET
ejpam-2596	221	10	inclusion	inclusion	NOUN
ejpam-2596	221	11	relations	relation	NOUN
ejpam-2596	221	12	between	between	ADP
ejpam-2596	221	13	these	these	DET
ejpam-2596	221	14	spaces	space	NOUN
ejpam-2596	221	15	.	.	PUNCT
ejpam-2596	222	1	further	far	ADV
ejpam-2596	222	2	we	we	PRON
ejpam-2596	222	3	introduced	introduce	VERB
ejpam-2596	222	4	a	a	DET
ejpam-2596	222	5	new	new	ADJ
ejpam-2596	222	6	concept	concept	NOUN
ejpam-2596	222	7	of	of	ADP
ejpam-2596	222	8	statistical	statistical	ADJ
ejpam-2596	222	9	convergence	convergence	NOUN
ejpam-2596	222	10	which	which	PRON
ejpam-2596	222	11	will	will	AUX
ejpam-2596	222	12	be	be	AUX
ejpam-2596	222	13	called	call	VERB
ejpam-2596	222	14	g	g	NOUN
ejpam-2596	222	15	-	-	PUNCT
ejpam-2596	222	16	statistical	statistical	ADJ
ejpam-2596	222	17	convergence	convergence	NOUN
ejpam-2596	222	18	in	in	ADP
ejpam-2596	222	19	a	a	DET
ejpam-2596	222	20	paranormed	paranorme	VERB
ejpam-2596	222	21	spaces	space	NOUN
ejpam-2596	222	22	where	where	SCONJ
ejpam-2596	222	23	the	the	DET
ejpam-2596	222	24	base	base	NOUN
ejpam-2596	222	25	space	space	NOUN
ejpam-2596	222	26	is	be	AUX
ejpam-2596	222	27	a	a	DET
ejpam-2596	222	28	n	n	ADV
ejpam-2596	222	29	-	-	PUNCT
ejpam-2596	222	30	normed	norme	VERB
ejpam-2596	222	31	spaces	space	NOUN
ejpam-2596	222	32	.	.	PUNCT
ejpam-2596	223	1	we	we	PRON
ejpam-2596	223	2	define	define	VERB
ejpam-2596	223	3	and	and	CCONJ
ejpam-2596	223	4	study	study	VERB
ejpam-2596	223	5	the	the	DET
ejpam-2596	223	6	notion	notion	NOUN
ejpam-2596	223	7	of	of	ADP
ejpam-2596	223	8	statistical	statistical	ADJ
ejpam-2596	223	9	convergence	convergence	NOUN
ejpam-2596	223	10	and	and	CCONJ
ejpam-2596	223	11	statistical	statistical	ADJ
ejpam-2596	223	12	cauchy	cauchy	NOUN
ejpam-2596	223	13	.	.	PUNCT
ejpam-2596	224	1	2	2	NUM
ejpam-2596	224	2	.	.	X
ejpam-2596	224	3	main	main	ADJ
ejpam-2596	224	4	results	result	NOUN
ejpam-2596	224	5	lemma	lemma	PROPN
ejpam-2596	224	6	1	1	X
ejpam-2596	224	7	.	.	PUNCT
ejpam-2596	225	1	let	let	VERB
ejpam-2596	225	2	(	(	PUNCT
ejpam-2596	225	3	x	x	SYM
ejpam-2596	225	4	j	j	NOUN
ejpam-2596	225	5	)	)	PUNCT
ejpam-2596	225	6	be	be	AUX
ejpam-2596	225	7	a	a	DET
ejpam-2596	225	8	strongly	strongly	ADV
ejpam-2596	225	9	almost	almost	ADV
ejpam-2596	225	10	convergent	convergent	ADJ
ejpam-2596	225	11	sequence	sequence	NOUN
ejpam-2596	225	12	,	,	PUNCT
ejpam-2596	225	13	for	for	ADP
ejpam-2596	225	14	a	a	DET
ejpam-2596	225	15	given	give	VERB
ejpam-2596	225	16	ε	ε	PROPN
ejpam-2596	225	17	>	>	X
ejpam-2596	225	18	0	0	PUNCT
ejpam-2596	225	19	there	there	PRON
ejpam-2596	225	20	exist	exist	VERB
ejpam-2596	225	21	n0	n0	ADJ
ejpam-2596	225	22	and	and	CCONJ
ejpam-2596	225	23	q0	q0	VERB
ejpam-2596	225	24	such	such	ADJ
ejpam-2596	225	25	that	that	SCONJ
ejpam-2596	225	26	1	1	NUM
ejpam-2596	225	27	n	n	NUM
ejpam-2596	225	28	q+n−1	q+n−1	VERB
ejpam-2596	225	29	∑	∑	PROPN
ejpam-2596	225	30	j	j	X
ejpam-2596	225	31	=	=	PROPN
ejpam-2596	225	32	q	q	NOUN
ejpam-2596	225	33	∞	∞	NUM
ejpam-2596	225	34	∑	∑	PUNCT
ejpam-2596	226	1	k=1	k=1	PROPN
ejpam-2596	226	2	�	�	PROPN
ejpam-2596	226	3	mk	mk	PROPN
ejpam-2596	226	4	�	�	PROPN
ejpam-2596	226	5	x	x	PROPN
ejpam-2596	226	6	j	j	PROPN
ejpam-2596	226	7	−λ	−λ	PROPN
ejpam-2596	226	8	ρ	ρ	PROPN
ejpam-2596	226	9	,	,	PUNCT
ejpam-2596	226	10	z1	z1	PROPN
ejpam-2596	226	11	,	,	PUNCT
ejpam-2596	226	12	.	.	PUNCT
ejpam-2596	226	13	.	.	PUNCT
ejpam-2596	227	1	.	.	PUNCT
ejpam-2596	228	1	,	,	PUNCT
ejpam-2596	228	2	zn−1	zn−1	PROPN
ejpam-2596	228	3	�	�	PROPN
ejpam-2596	228	4	�	�	PROPN
ejpam-2596	228	5	pk	pk	NOUN
ejpam-2596	228	6	<	<	X
ejpam-2596	228	7	ε	ε	PROPN
ejpam-2596	228	8	for	for	ADP
ejpam-2596	228	9	all	all	DET
ejpam-2596	228	10	pk	pk	NOUN
ejpam-2596	228	11	≥	≥	NOUN
ejpam-2596	228	12	1	1	NUM
ejpam-2596	228	13	,	,	PUNCT
ejpam-2596	228	14	n	n	PRON
ejpam-2596	228	15	≥	≥	NOUN
ejpam-2596	228	16	n0	n0	NUM
ejpam-2596	228	17	,	,	PUNCT
ejpam-2596	228	18	q	q	PRON
ejpam-2596	228	19	≥	≥	NOUN
ejpam-2596	228	20	q0	q0	VERB
ejpam-2596	228	21	,	,	PUNCT
ejpam-2596	228	22	for	for	ADP
ejpam-2596	228	23	every	every	DET
ejpam-2596	228	24	nonzero	nonzero	ADJ
ejpam-2596	228	25	z1	z1	NOUN
ejpam-2596	228	26	,	,	PUNCT
ejpam-2596	228	27	.	.	PUNCT
ejpam-2596	228	28	.	.	PUNCT
ejpam-2596	229	1	.	.	PUNCT
ejpam-2596	230	1	,	,	PUNCT
ejpam-2596	230	2	zn−1	zn−1	PROPN
ejpam-2596	230	3	∈	∈	PROPN
ejpam-2596	230	4	x	x	X
ejpam-2596	230	5	and	and	CCONJ
ejpam-2596	230	6	for	for	ADP
ejpam-2596	230	7	some	some	DET
ejpam-2596	230	8	ρ	ρ	NOUN
ejpam-2596	230	9	>	>	X
ejpam-2596	230	10	0	0	PROPN
ejpam-2596	230	11	.	.	PUNCT
ejpam-2596	231	1	then	then	ADV
ejpam-2596	231	2	x	x	SYM
ejpam-2596	231	3	∈	∈	PROPN
ejpam-2596	231	4	�	�	PROPN
ejpam-2596	231	5	m	m	PRON
ejpam-2596	231	6	,	,	PUNCT
ejpam-2596	232	1	[	[	X
ejpam-2596	232	2	f	f	X
ejpam-2596	232	3	]	]	X
ejpam-2596	232	4	,	,	PUNCT
ejpam-2596	232	5	p,‖	p,‖	PROPN
ejpam-2596	232	6	·	·	PUNCT
ejpam-2596	232	7	,	,	PUNCT
ejpam-2596	232	8	.	.	PUNCT
ejpam-2596	232	9	.	.	PUNCT
ejpam-2596	232	10	.	.	PUNCT
ejpam-2596	233	1	,	,	PUNCT
ejpam-2596	233	2	·	·	PUNCT
ejpam-2596	233	3	‖	‖	PROPN
ejpam-2596	233	4	�	�	PROPN
ejpam-2596	233	5	.	.	PUNCT
ejpam-2596	234	1	k.	k.	PROPN
ejpam-2596	234	2	raj	raj	PROPN
ejpam-2596	234	3	,	,	PUNCT
ejpam-2596	234	4	r.	r.	PROPN
ejpam-2596	234	5	anand	anand	PROPN
ejpam-2596	234	6	,	,	PUNCT
ejpam-2596	234	7	s.	s.	PROPN
ejpam-2596	234	8	jamwal	jamwal	PROPN
ejpam-2596	234	9	/	/	SYM
ejpam-2596	234	10	eur	eur	PROPN
ejpam-2596	234	11	.	.	PUNCT
ejpam-2596	235	1	j.	j.	PROPN
ejpam-2596	235	2	pure	pure	PROPN
ejpam-2596	235	3	appl	appl	PROPN
ejpam-2596	235	4	.	.	PROPN
ejpam-2596	235	5	math	math	PROPN
ejpam-2596	235	6	,	,	PUNCT
ejpam-2596	235	7	9	9	NUM
ejpam-2596	235	8	(	(	PUNCT
ejpam-2596	235	9	2016	2016	NUM
ejpam-2596	235	10	)	)	PUNCT
ejpam-2596	235	11	,	,	PUNCT
ejpam-2596	235	12	464	464	NUM
ejpam-2596	235	13	-	-	SYM
ejpam-2596	235	14	478	478	NUM
ejpam-2596	235	15	469	469	NUM
ejpam-2596	235	16	proof	proof	NOUN
ejpam-2596	235	17	.	.	PUNCT
ejpam-2596	236	1	let	let	VERB
ejpam-2596	236	2	ε	ε	PROPN
ejpam-2596	236	3	>	>	X
ejpam-2596	236	4	0	0	PUNCT
ejpam-2596	236	5	be	be	AUX
ejpam-2596	236	6	given	give	VERB
ejpam-2596	236	7	.	.	PUNCT
ejpam-2596	237	1	choose	choose	AUX
ejpam-2596	237	2	n′0	n′0	PROPN
ejpam-2596	237	3	,	,	PUNCT
ejpam-2596	237	4	q0	q0	VERB
ejpam-2596	237	5	such	such	ADJ
ejpam-2596	237	6	that	that	SCONJ
ejpam-2596	237	7	1	1	NUM
ejpam-2596	237	8	n	n	NUM
ejpam-2596	237	9	q+n−1	q+n−1	VERB
ejpam-2596	237	10	∑	∑	PROPN
ejpam-2596	237	11	j	j	X
ejpam-2596	237	12	=	=	PROPN
ejpam-2596	237	13	q	q	NOUN
ejpam-2596	237	14	∞	∞	NUM
ejpam-2596	237	15	∑	∑	PUNCT
ejpam-2596	237	16	k=1	k=1	PROPN
ejpam-2596	237	17	�	�	PROPN
ejpam-2596	237	18	mk	mk	PROPN
ejpam-2596	237	19	�	�	PROPN
ejpam-2596	237	20	x	x	PROPN
ejpam-2596	237	21	j	j	PROPN
ejpam-2596	237	22	−λ	−λ	PROPN
ejpam-2596	237	23	ρ	ρ	PROPN
ejpam-2596	237	24	,	,	PUNCT
ejpam-2596	237	25	z1	z1	PROPN
ejpam-2596	237	26	,	,	PUNCT
ejpam-2596	237	27	.	.	PUNCT
ejpam-2596	237	28	.	.	PUNCT
ejpam-2596	238	1	.	.	PUNCT
ejpam-2596	239	1	,	,	PUNCT
ejpam-2596	239	2	zn−1	zn−1	PROPN
ejpam-2596	239	3	�	�	PROPN
ejpam-2596	239	4	�	�	PROPN
ejpam-2596	239	5	pk	pk	NOUN
ejpam-2596	239	6	<	<	X
ejpam-2596	239	7	ε	ε	PROPN
ejpam-2596	239	8	2	2	NUM
ejpam-2596	239	9	(	(	PUNCT
ejpam-2596	239	10	1	1	NUM
ejpam-2596	239	11	)	)	PUNCT
ejpam-2596	239	12	for	for	ADP
ejpam-2596	239	13	all	all	DET
ejpam-2596	239	14	n≥	n≥	ADJ
ejpam-2596	239	15	n′0	n′0	NOUN
ejpam-2596	239	16	,	,	PUNCT
ejpam-2596	239	17	q	q	PROPN
ejpam-2596	239	18	≥	≥	NOUN
ejpam-2596	239	19	q0	q0	VERB
ejpam-2596	239	20	,	,	PUNCT
ejpam-2596	239	21	it	it	PRON
ejpam-2596	239	22	is	be	AUX
ejpam-2596	239	23	enough	enough	ADJ
ejpam-2596	239	24	to	to	PART
ejpam-2596	239	25	prove	prove	VERB
ejpam-2596	239	26	that	that	SCONJ
ejpam-2596	239	27	there	there	PRON
ejpam-2596	239	28	exists	exist	VERB
ejpam-2596	239	29	n′′0	n′′0	ADP
ejpam-2596	239	30	such	such	ADJ
ejpam-2596	239	31	that	that	PRON
ejpam-2596	239	32	for	for	ADP
ejpam-2596	239	33	n	n	CCONJ
ejpam-2596	239	34	>	>	X
ejpam-2596	239	35	n′′0	n′′0	ADP
ejpam-2596	239	36	,	,	PUNCT
ejpam-2596	239	37	0≤	0≤	NUM
ejpam-2596	239	38	q	q	PROPN
ejpam-2596	239	39	≤	≤	NUM
ejpam-2596	239	40	q0	q0	VERB
ejpam-2596	239	41	1	1	NUM
ejpam-2596	239	42	n	n	NOUN
ejpam-2596	239	43	q+n−1	q+n−1	PROPN
ejpam-2596	239	44	∑	∑	PUNCT
ejpam-2596	239	45	j	j	X
ejpam-2596	239	46	=	=	PROPN
ejpam-2596	239	47	q	q	NOUN
ejpam-2596	239	48	∞	∞	NUM
ejpam-2596	239	49	∑	∑	PUNCT
ejpam-2596	239	50	k=1	k=1	PROPN
ejpam-2596	239	51	�	�	PROPN
ejpam-2596	239	52	mk	mk	PROPN
ejpam-2596	239	53	�	�	PROPN
ejpam-2596	239	54	x	x	PROPN
ejpam-2596	240	1	j	j	PROPN
ejpam-2596	240	2	−λ	−λ	PROPN
ejpam-2596	240	3	ρ	ρ	PROPN
ejpam-2596	240	4	,	,	PUNCT
ejpam-2596	240	5	z1	z1	PROPN
ejpam-2596	240	6	,	,	PUNCT
ejpam-2596	240	7	.	.	PUNCT
ejpam-2596	240	8	.	.	PUNCT
ejpam-2596	241	1	.	.	PUNCT
ejpam-2596	242	1	,	,	PUNCT
ejpam-2596	242	2	zn−1	zn−1	PROPN
ejpam-2596	242	3	�	�	PROPN
ejpam-2596	242	4	�	�	PROPN
ejpam-2596	242	5	pk	pk	NOUN
ejpam-2596	242	6	<	<	X
ejpam-2596	242	7	ε	ε	PROPN
ejpam-2596	242	8	.	.	PUNCT
ejpam-2596	243	1	(	(	PUNCT
ejpam-2596	243	2	2	2	NUM
ejpam-2596	243	3	)	)	PUNCT
ejpam-2596	243	4	by	by	ADP
ejpam-2596	243	5	taking	take	VERB
ejpam-2596	243	6	n0	n0	X
ejpam-2596	243	7	=	=	SYM
ejpam-2596	243	8	max(n′0	max(n′0	PROPN
ejpam-2596	243	9	,	,	PUNCT
ejpam-2596	243	10	n′′0	n′′0	ADP
ejpam-2596	243	11	)	)	PUNCT
ejpam-2596	243	12	,	,	PUNCT
ejpam-2596	243	13	(	(	PUNCT
ejpam-2596	243	14	2	2	X
ejpam-2596	243	15	)	)	PUNCT
ejpam-2596	243	16	will	will	AUX
ejpam-2596	243	17	holds	hold	VERB
ejpam-2596	243	18	for	for	ADP
ejpam-2596	243	19	n	n	PRON
ejpam-2596	243	20	≥	≥	NOUN
ejpam-2596	243	21	n0	n0	NUM
ejpam-2596	243	22	and	and	CCONJ
ejpam-2596	243	23	for	for	ADP
ejpam-2596	243	24	all	all	DET
ejpam-2596	243	25	q	q	NOUN
ejpam-2596	243	26	,	,	PUNCT
ejpam-2596	243	27	which	which	PRON
ejpam-2596	243	28	gives	give	VERB
ejpam-2596	243	29	the	the	DET
ejpam-2596	243	30	result	result	NOUN
ejpam-2596	243	31	.	.	PUNCT
ejpam-2596	244	1	once	once	ADV
ejpam-2596	244	2	q0	q0	PROPN
ejpam-2596	244	3	has	have	AUX
ejpam-2596	244	4	been	be	AUX
ejpam-2596	244	5	chosen	choose	VERB
ejpam-2596	244	6	fixed	fix	VERB
ejpam-2596	244	7	,	,	PUNCT
ejpam-2596	244	8	so	so	CCONJ
ejpam-2596	244	9	q0−1	q0−1	PROPN
ejpam-2596	244	10	∑	∑	PUNCT
ejpam-2596	244	11	j=0	j=0	PROPN
ejpam-2596	244	12	∞	∞	PROPN
ejpam-2596	244	13	∑	∑	PUNCT
ejpam-2596	244	14	k=1	k=1	PROPN
ejpam-2596	244	15	�	�	PROPN
ejpam-2596	244	16	mk	mk	PROPN
ejpam-2596	244	17	�	�	PROPN
ejpam-2596	244	18	x	x	PROPN
ejpam-2596	244	19	j	j	PROPN
ejpam-2596	244	20	−λ	−λ	PROPN
ejpam-2596	244	21	ρ	ρ	PROPN
ejpam-2596	244	22	,	,	PUNCT
ejpam-2596	244	23	z1	z1	PROPN
ejpam-2596	244	24	,	,	PUNCT
ejpam-2596	244	25	.	.	PUNCT
ejpam-2596	244	26	.	.	PUNCT
ejpam-2596	244	27	.	.	PUNCT
ejpam-2596	245	1	,	,	PUNCT
ejpam-2596	245	2	zn−1	zn−1	PROPN
ejpam-2596	245	3	�	�	PROPN
ejpam-2596	245	4	�	�	PROPN
ejpam-2596	245	5	pk	pk	NOUN
ejpam-2596	245	6	=	=	PROPN
ejpam-2596	245	7	k	k	PROPN
ejpam-2596	245	8	,	,	PUNCT
ejpam-2596	245	9	(	(	PUNCT
ejpam-2596	245	10	3	3	X
ejpam-2596	245	11	)	)	PUNCT
ejpam-2596	245	12	for	for	ADP
ejpam-2596	245	13	some	some	DET
ejpam-2596	245	14	k	k	PROPN
ejpam-2596	245	15	.	.	PUNCT
ejpam-2596	246	1	now	now	ADV
ejpam-2596	246	2	taking	take	VERB
ejpam-2596	246	3	0≤	0≤	ADP
ejpam-2596	246	4	q	q	ADJ
ejpam-2596	246	5	≤	≤	NOUN
ejpam-2596	246	6	q0	q0	NOUN
ejpam-2596	246	7	and	and	CCONJ
ejpam-2596	246	8	n	n	CCONJ
ejpam-2596	246	9	>	>	ADV
ejpam-2596	246	10	q0	q0	PROPN
ejpam-2596	246	11	,	,	PUNCT
ejpam-2596	246	12	we	we	PRON
ejpam-2596	246	13	have	have	VERB
ejpam-2596	246	14	1	1	NUM
ejpam-2596	246	15	n	n	NUM
ejpam-2596	246	16	q+n−1	q+n−1	PROPN
ejpam-2596	246	17	∑	∑	PROPN
ejpam-2596	246	18	j	j	X
ejpam-2596	246	19	=	=	PROPN
ejpam-2596	246	20	q	q	NOUN
ejpam-2596	246	21	∞	∞	NUM
ejpam-2596	246	22	∑	∑	PUNCT
ejpam-2596	246	23	k=1	k=1	PROPN
ejpam-2596	246	24	�	�	PROPN
ejpam-2596	246	25	mk	mk	PROPN
ejpam-2596	246	26	�	�	PROPN
ejpam-2596	246	27	x	x	PROPN
ejpam-2596	246	28	j	j	PROPN
ejpam-2596	246	29	−λ	−λ	PROPN
ejpam-2596	246	30	ρ	ρ	PROPN
ejpam-2596	246	31	,	,	PUNCT
ejpam-2596	246	32	z1	z1	PROPN
ejpam-2596	246	33	,	,	PUNCT
ejpam-2596	246	34	.	.	PUNCT
ejpam-2596	246	35	.	.	PUNCT
ejpam-2596	247	1	.	.	PUNCT
ejpam-2596	248	1	,	,	PUNCT
ejpam-2596	248	2	zn−1	zn−1	PROPN
ejpam-2596	248	3	�	�	PROPN
ejpam-2596	248	4	�	�	PROPN
ejpam-2596	248	5	pk	pk	NOUN
ejpam-2596	248	6	=	=	SYM
ejpam-2596	248	7	1	1	NUM
ejpam-2596	248	8	n	n	PRON
ejpam-2596	248	9	�	�	PROPN
ejpam-2596	248	10	q0−1	q0−1	PROPN
ejpam-2596	248	11	∑	∑	PROPN
ejpam-2596	248	12	j	j	X
ejpam-2596	248	13	=	=	PROPN
ejpam-2596	248	14	q	q	NOUN
ejpam-2596	248	15	+	+	X
ejpam-2596	248	16	q+n−1	q+n−1	PROPN
ejpam-2596	248	17	∑	∑	PROPN
ejpam-2596	248	18	j	j	PROPN
ejpam-2596	248	19	=	=	PROPN
ejpam-2596	248	20	q0	q0	ADJ
ejpam-2596	248	21	�	�	PROPN
ejpam-2596	248	22	∞	∞	PROPN
ejpam-2596	248	23	∑	∑	PUNCT
ejpam-2596	248	24	k=1	k=1	PROPN
ejpam-2596	248	25	�	�	PROPN
ejpam-2596	248	26	mk	mk	PROPN
ejpam-2596	248	27	�	�	PROPN
ejpam-2596	248	28	x	x	PROPN
ejpam-2596	249	1	j	j	PROPN
ejpam-2596	249	2	−λ	−λ	PROPN
ejpam-2596	249	3	ρ	ρ	PROPN
ejpam-2596	249	4	,	,	PUNCT
ejpam-2596	249	5	z1	z1	PROPN
ejpam-2596	249	6	,	,	PUNCT
ejpam-2596	249	7	.	.	PUNCT
ejpam-2596	249	8	.	.	PUNCT
ejpam-2596	250	1	.	.	PUNCT
ejpam-2596	251	1	,	,	PUNCT
ejpam-2596	251	2	zn−1	zn−1	PROPN
ejpam-2596	251	3	�	�	PROPN
ejpam-2596	251	4	�	�	PROPN
ejpam-2596	251	5	pk	pk	NOUN
ejpam-2596	251	6	≤	≤	PROPN
ejpam-2596	251	7	k	k	PROPN
ejpam-2596	251	8	n	n	PROPN
ejpam-2596	251	9	+	+	CCONJ
ejpam-2596	251	10	1	1	NUM
ejpam-2596	251	11	n	n	NOUN
ejpam-2596	251	12	q0+n−1	q0+n−1	PROPN
ejpam-2596	251	13	∑	∑	PUNCT
ejpam-2596	251	14	j	j	PROPN
ejpam-2596	251	15	=	=	NOUN
ejpam-2596	251	16	q0	q0	VERB
ejpam-2596	251	17	∞	∞	PROPN
ejpam-2596	251	18	∑	∑	PUNCT
ejpam-2596	251	19	k=1	k=1	PROPN
ejpam-2596	251	20	�	�	PROPN
ejpam-2596	251	21	mk	mk	PROPN
ejpam-2596	251	22	�	�	PROPN
ejpam-2596	251	23	x	x	PROPN
ejpam-2596	251	24	j	j	PROPN
ejpam-2596	251	25	−λ	−λ	PROPN
ejpam-2596	251	26	ρ	ρ	PROPN
ejpam-2596	251	27	,	,	PUNCT
ejpam-2596	251	28	z1	z1	PROPN
ejpam-2596	251	29	,	,	PUNCT
ejpam-2596	251	30	.	.	PUNCT
ejpam-2596	251	31	.	.	PUNCT
ejpam-2596	252	1	.	.	PUNCT
ejpam-2596	253	1	,	,	PUNCT
ejpam-2596	253	2	zn−1	zn−1	PROPN
ejpam-2596	253	3	�	�	PROPN
ejpam-2596	253	4	�	�	PROPN
ejpam-2596	253	5	pk	pk	NOUN
ejpam-2596	253	6	≤	≤	PROPN
ejpam-2596	253	7	k	k	PROPN
ejpam-2596	253	8	n	n	PROPN
ejpam-2596	253	9	+	+	CCONJ
ejpam-2596	253	10	ε	ε	PROPN
ejpam-2596	253	11	2	2	NUM
ejpam-2596	253	12	.	.	PUNCT
ejpam-2596	254	1	the	the	DET
ejpam-2596	254	2	penultimate	penultimate	NOUN
ejpam-2596	254	3	inequality	inequality	NOUN
ejpam-2596	254	4	is	be	AUX
ejpam-2596	254	5	from	from	ADP
ejpam-2596	254	6	(	(	PUNCT
ejpam-2596	254	7	3	3	NUM
ejpam-2596	254	8	)	)	PUNCT
ejpam-2596	254	9	,	,	PUNCT
ejpam-2596	254	10	with	with	ADP
ejpam-2596	254	11	the	the	DET
ejpam-2596	254	12	last	last	ADJ
ejpam-2596	254	13	following	follow	VERB
ejpam-2596	254	14	(	(	PUNCT
ejpam-2596	254	15	1	1	NUM
ejpam-2596	254	16	)	)	PUNCT
ejpam-2596	254	17	.	.	PUNCT
ejpam-2596	255	1	taking	take	VERB
ejpam-2596	255	2	n	n	PRON
ejpam-2596	255	3	sufficiently	sufficiently	ADV
ejpam-2596	255	4	large	large	ADJ
ejpam-2596	255	5	,	,	PUNCT
ejpam-2596	255	6	we	we	PRON
ejpam-2596	255	7	can	can	AUX
ejpam-2596	255	8	make	make	VERB
ejpam-2596	255	9	k	k	PROPN
ejpam-2596	255	10	n	n	PROPN
ejpam-2596	255	11	+	+	CCONJ
ejpam-2596	255	12	ε	ε	PROPN
ejpam-2596	255	13	2	2	NUM
ejpam-2596	255	14	<	<	X
ejpam-2596	255	15	ε	ε	PROPN
ejpam-2596	255	16	which	which	PRON
ejpam-2596	255	17	gives	give	VERB
ejpam-2596	255	18	(	(	PUNCT
ejpam-2596	255	19	2	2	NUM
ejpam-2596	255	20	)	)	PUNCT
ejpam-2596	255	21	and	and	CCONJ
ejpam-2596	255	22	hence	hence	ADV
ejpam-2596	255	23	the	the	DET
ejpam-2596	255	24	result	result	NOUN
ejpam-2596	255	25	.	.	PUNCT
ejpam-2596	256	1	theorem	theorem	NOUN
ejpam-2596	256	2	1	1	X
ejpam-2596	256	3	.	.	PUNCT
ejpam-2596	256	4	suppose	suppose	VERB
ejpam-2596	256	5	pk	pk	X
ejpam-2596	256	6	≥	≥	NOUN
ejpam-2596	256	7	1	1	NUM
ejpam-2596	256	8	for	for	ADP
ejpam-2596	256	9	all	all	DET
ejpam-2596	256	10	k	k	PROPN
ejpam-2596	256	11	and	and	CCONJ
ejpam-2596	256	12	for	for	ADP
ejpam-2596	256	13	every	every	DET
ejpam-2596	256	14	θ	θ	NOUN
ejpam-2596	256	15	,	,	PUNCT
ejpam-2596	256	16	we	we	PRON
ejpam-2596	256	17	have	have	VERB
ejpam-2596	256	18	�	�	PROPN
ejpam-2596	256	19	m	m	PRON
ejpam-2596	256	20	,	,	PUNCT
ejpam-2596	257	1	[	[	X
ejpam-2596	257	2	fθ	fθ	X
ejpam-2596	257	3	]	]	X
ejpam-2596	257	4	,	,	PUNCT
ejpam-2596	257	5	p,‖	p,‖	PROPN
ejpam-2596	257	6	·	·	PUNCT
ejpam-2596	257	7	,	,	PUNCT
ejpam-2596	257	8	.	.	PUNCT
ejpam-2596	257	9	.	.	PUNCT
ejpam-2596	257	10	.	.	PUNCT
ejpam-2596	258	1	,	,	PUNCT
ejpam-2596	258	2	·	·	PUNCT
ejpam-2596	258	3	‖	‖	PROPN
ejpam-2596	258	4	�	�	PROPN
ejpam-2596	258	5	=	=	SYM
ejpam-2596	258	6	�	�	PROPN
ejpam-2596	258	7	m	m	PROPN
ejpam-2596	258	8	,	,	PUNCT
ejpam-2596	259	1	[	[	X
ejpam-2596	259	2	f	f	X
ejpam-2596	259	3	]	]	X
ejpam-2596	259	4	,	,	PUNCT
ejpam-2596	259	5	p,‖	p,‖	PROPN
ejpam-2596	259	6	·	·	PUNCT
ejpam-2596	259	7	,	,	PUNCT
ejpam-2596	259	8	.	.	PUNCT
ejpam-2596	259	9	.	.	PUNCT
ejpam-2596	259	10	.	.	PUNCT
ejpam-2596	260	1	,	,	PUNCT
ejpam-2596	260	2	·	·	PUNCT
ejpam-2596	260	3	‖	‖	PROPN
ejpam-2596	260	4	�	�	PROPN
ejpam-2596	260	5	.	.	PUNCT
ejpam-2596	261	1	proof	proof	NOUN
ejpam-2596	261	2	.	.	PUNCT
ejpam-2596	262	1	let	let	VERB
ejpam-2596	262	2	{	{	PUNCT
ejpam-2596	262	3	x	x	SYM
ejpam-2596	262	4	j	j	PROPN
ejpam-2596	262	5	}	}	PUNCT
ejpam-2596	262	6	∈	∈	PROPN
ejpam-2596	262	7	�	�	PROPN
ejpam-2596	262	8	m	m	NOUN
ejpam-2596	262	9	,	,	PUNCT
ejpam-2596	263	1	[	[	X
ejpam-2596	263	2	fθ	fθ	X
ejpam-2596	263	3	]	]	X
ejpam-2596	263	4	,	,	PUNCT
ejpam-2596	263	5	p,‖	p,‖	PROPN
ejpam-2596	263	6	·	·	PUNCT
ejpam-2596	263	7	,	,	PUNCT
ejpam-2596	263	8	.	.	PUNCT
ejpam-2596	263	9	.	.	PUNCT
ejpam-2596	263	10	.	.	PUNCT
ejpam-2596	264	1	,	,	PUNCT
ejpam-2596	264	2	·	·	PUNCT
ejpam-2596	264	3	‖	‖	PROPN
ejpam-2596	264	4	�	�	PROPN
ejpam-2596	264	5	,	,	PUNCT
ejpam-2596	264	6	then	then	ADV
ejpam-2596	264	7	for	for	ADP
ejpam-2596	264	8	given	give	VERB
ejpam-2596	264	9	ε	ε	PROPN
ejpam-2596	264	10	>	>	X
ejpam-2596	264	11	0	0	PROPN
ejpam-2596	264	12	,	,	PUNCT
ejpam-2596	264	13	there	there	PRON
ejpam-2596	264	14	exist	exist	VERB
ejpam-2596	264	15	r0	r0	NOUN
ejpam-2596	264	16	and	and	CCONJ
ejpam-2596	264	17	λ	λ	NOUN
ejpam-2596	264	18	such	such	ADJ
ejpam-2596	264	19	that	that	SCONJ
ejpam-2596	264	20	1	1	NUM
ejpam-2596	264	21	hr	hr	NOUN
ejpam-2596	264	22	q+hr−1	q+hr−1	PROPN
ejpam-2596	264	23	∑	∑	PROPN
ejpam-2596	264	24	j	j	X
ejpam-2596	264	25	=	=	PROPN
ejpam-2596	264	26	q	q	NOUN
ejpam-2596	264	27	∞	∞	NUM
ejpam-2596	264	28	∑	∑	PUNCT
ejpam-2596	264	29	k=1	k=1	PROPN
ejpam-2596	264	30	�	�	PROPN
ejpam-2596	264	31	mk	mk	PROPN
ejpam-2596	264	32	�	�	PROPN
ejpam-2596	264	33	x	x	PROPN
ejpam-2596	264	34	j	j	PROPN
ejpam-2596	264	35	−λ	−λ	PROPN
ejpam-2596	264	36	ρ	ρ	PROPN
ejpam-2596	264	37	,	,	PUNCT
ejpam-2596	264	38	z1	z1	PROPN
ejpam-2596	264	39	,	,	PUNCT
ejpam-2596	264	40	.	.	PUNCT
ejpam-2596	264	41	.	.	PUNCT
ejpam-2596	265	1	.	.	PUNCT
ejpam-2596	266	1	,	,	PUNCT
ejpam-2596	266	2	zn−1	zn−1	PROPN
ejpam-2596	266	3	�	�	PROPN
ejpam-2596	266	4	�	�	PROPN
ejpam-2596	266	5	pk	pk	NOUN
ejpam-2596	266	6	<	<	X
ejpam-2596	266	7	ε	ε	PROPN
ejpam-2596	266	8	(	(	PUNCT
ejpam-2596	266	9	4	4	NUM
ejpam-2596	266	10	)	)	PUNCT
ejpam-2596	266	11	for	for	ADP
ejpam-2596	266	12	r	r	NOUN
ejpam-2596	266	13	≥	≥	NOUN
ejpam-2596	266	14	r0	r0	NOUN
ejpam-2596	266	15	and	and	CCONJ
ejpam-2596	266	16	q	q	NOUN
ejpam-2596	266	17	=	=	PUNCT
ejpam-2596	266	18	qr−1	qr−1	PROPN
ejpam-2596	267	1	+	+	CCONJ
ejpam-2596	267	2	1	1	NUM
ejpam-2596	267	3	+	+	NUM
ejpam-2596	267	4	i	i	PRON
ejpam-2596	267	5	,	,	PUNCT
ejpam-2596	267	6	i	i	PRON
ejpam-2596	267	7	≥	≥	VERB
ejpam-2596	267	8	0	0	NUM
ejpam-2596	267	9	.	.	PUNCT
ejpam-2596	268	1	let	let	VERB
ejpam-2596	268	2	n	n	PRON
ejpam-2596	268	3	≥	≥	PRON
ejpam-2596	268	4	hr	hr	NOUN
ejpam-2596	268	5	,	,	PUNCT
ejpam-2596	268	6	write	write	VERB
ejpam-2596	268	7	n	n	NOUN
ejpam-2596	268	8	=	=	SYM
ejpam-2596	268	9	mhr	mhr	PROPN
ejpam-2596	268	10	+	+	CCONJ
ejpam-2596	268	11	θ	θ	PROPN
ejpam-2596	268	12	,	,	PUNCT
ejpam-2596	268	13	where	where	SCONJ
ejpam-2596	268	14	m	m	NOUN
ejpam-2596	268	15	is	be	AUX
ejpam-2596	268	16	an	an	DET
ejpam-2596	268	17	integer	integer	NOUN
ejpam-2596	268	18	.	.	PUNCT
ejpam-2596	269	1	since	since	SCONJ
ejpam-2596	269	2	h≥	h≥	PROPN
ejpam-2596	269	3	hr	hr	NOUN
ejpam-2596	269	4	,	,	PUNCT
ejpam-2596	269	5	m≥	m≥	PROPN
ejpam-2596	269	6	1	1	X
ejpam-2596	269	7	.	.	PUNCT
ejpam-2596	270	1	now	now	ADV
ejpam-2596	270	2	1	1	NUM
ejpam-2596	270	3	n	n	VERB
ejpam-2596	270	4	q+n−1	q+n−1	VERB
ejpam-2596	270	5	∑	∑	PUNCT
ejpam-2596	270	6	j	j	X
ejpam-2596	270	7	=	=	PROPN
ejpam-2596	270	8	q	q	NOUN
ejpam-2596	270	9	∞	∞	NUM
ejpam-2596	270	10	∑	∑	PUNCT
ejpam-2596	270	11	k=1	k=1	PROPN
ejpam-2596	270	12	�	�	PROPN
ejpam-2596	270	13	mk	mk	PROPN
ejpam-2596	270	14	�	�	PROPN
ejpam-2596	270	15	x	x	PROPN
ejpam-2596	270	16	j	j	PROPN
ejpam-2596	270	17	−λ	−λ	PROPN
ejpam-2596	270	18	ρ	ρ	PROPN
ejpam-2596	270	19	,	,	PUNCT
ejpam-2596	270	20	z1	z1	PROPN
ejpam-2596	270	21	,	,	PUNCT
ejpam-2596	270	22	.	.	PUNCT
ejpam-2596	270	23	.	.	PUNCT
ejpam-2596	271	1	.	.	PUNCT
ejpam-2596	272	1	,	,	PUNCT
ejpam-2596	272	2	zn−1	zn−1	PROPN
ejpam-2596	272	3	�	�	PROPN
ejpam-2596	272	4	�	�	PROPN
ejpam-2596	272	5	pk	pk	NOUN
ejpam-2596	272	6	≤	≤	NUM
ejpam-2596	272	7	1	1	NUM
ejpam-2596	272	8	n	n	NUM
ejpam-2596	272	9	q+(m+1)hr−1	q+(m+1)hr−1	NUM
ejpam-2596	272	10	∑	∑	PUNCT
ejpam-2596	272	11	j	j	X
ejpam-2596	272	12	=	=	PROPN
ejpam-2596	272	13	q	q	NOUN
ejpam-2596	272	14	∞	∞	NUM
ejpam-2596	272	15	∑	∑	PUNCT
ejpam-2596	272	16	k=1	k=1	PROPN
ejpam-2596	272	17	�	�	PROPN
ejpam-2596	272	18	mk	mk	PROPN
ejpam-2596	272	19	�	�	PROPN
ejpam-2596	272	20	x	x	PROPN
ejpam-2596	272	21	j	j	PROPN
ejpam-2596	272	22	−λ	−λ	PROPN
ejpam-2596	272	23	ρ	ρ	PROPN
ejpam-2596	272	24	,	,	PUNCT
ejpam-2596	272	25	z1	z1	PROPN
ejpam-2596	272	26	,	,	PUNCT
ejpam-2596	272	27	.	.	PUNCT
ejpam-2596	272	28	.	.	PUNCT
ejpam-2596	273	1	.	.	PUNCT
ejpam-2596	274	1	,	,	PUNCT
ejpam-2596	274	2	zn−1	zn−1	PROPN
ejpam-2596	274	3	�	�	PROPN
ejpam-2596	274	4	�	�	PROPN
ejpam-2596	274	5	pk	pk	PROPN
ejpam-2596	274	6	k.	k.	PROPN
ejpam-2596	274	7	raj	raj	PROPN
ejpam-2596	274	8	,	,	PUNCT
ejpam-2596	274	9	r.	r.	PROPN
ejpam-2596	274	10	anand	anand	PROPN
ejpam-2596	274	11	,	,	PUNCT
ejpam-2596	274	12	s.	s.	PROPN
ejpam-2596	274	13	jamwal	jamwal	PROPN
ejpam-2596	274	14	/	/	SYM
ejpam-2596	274	15	eur	eur	PROPN
ejpam-2596	274	16	.	.	PUNCT
ejpam-2596	275	1	j.	j.	PROPN
ejpam-2596	275	2	pure	pure	PROPN
ejpam-2596	275	3	appl	appl	PROPN
ejpam-2596	275	4	.	.	PROPN
ejpam-2596	275	5	math	math	PROPN
ejpam-2596	275	6	,	,	PUNCT
ejpam-2596	275	7	9	9	NUM
ejpam-2596	275	8	(	(	PUNCT
ejpam-2596	275	9	2016	2016	NUM
ejpam-2596	275	10	)	)	PUNCT
ejpam-2596	275	11	,	,	PUNCT
ejpam-2596	275	12	464	464	NUM
ejpam-2596	275	13	-	-	SYM
ejpam-2596	275	14	478	478	NUM
ejpam-2596	275	15	470	470	NUM
ejpam-2596	275	16	=	=	SYM
ejpam-2596	275	17	1	1	NUM
ejpam-2596	275	18	n	n	NOUN
ejpam-2596	275	19	+	+	NUM
ejpam-2596	275	20	m	m	VERB
ejpam-2596	275	21	∑	∑	ADV
ejpam-2596	275	22	u=0	u=0	PROPN
ejpam-2596	275	23	q+(u+1)hr−1	q+(u+1)hr−1	PROPN
ejpam-2596	275	24	∑	∑	PUNCT
ejpam-2596	275	25	j	j	X
ejpam-2596	275	26	=	=	NOUN
ejpam-2596	275	27	q+uhr	q+uhr	NOUN
ejpam-2596	275	28	∞	∞	NUM
ejpam-2596	275	29	∑	∑	PUNCT
ejpam-2596	275	30	k=1	k=1	PROPN
ejpam-2596	275	31	�	�	PROPN
ejpam-2596	275	32	mk	mk	PROPN
ejpam-2596	275	33	�	�	PROPN
ejpam-2596	275	34	x	x	PROPN
ejpam-2596	276	1	j	j	PROPN
ejpam-2596	276	2	−λ	−λ	PROPN
ejpam-2596	276	3	ρ	ρ	PROPN
ejpam-2596	276	4	,	,	PUNCT
ejpam-2596	276	5	z1	z1	PROPN
ejpam-2596	276	6	,	,	PUNCT
ejpam-2596	276	7	.	.	PUNCT
ejpam-2596	276	8	.	.	PUNCT
ejpam-2596	277	1	.	.	PUNCT
ejpam-2596	278	1	,	,	PUNCT
ejpam-2596	278	2	zn−1	zn−1	PROPN
ejpam-2596	278	3	�	�	PROPN
ejpam-2596	278	4	�	�	PROPN
ejpam-2596	278	5	pk	pk	NOUN
ejpam-2596	278	6	≤	≤	NUM
ejpam-2596	278	7	m+	m+	NUM
ejpam-2596	278	8	1	1	NUM
ejpam-2596	278	9	n	n	PRON
ejpam-2596	278	10	hrε	hrε	VERB
ejpam-2596	278	11	≤	≤	NOUN
ejpam-2596	279	1	2mhrε	2mhrε	NUM
ejpam-2596	279	2	n	n	NOUN
ejpam-2596	279	3	(	(	PUNCT
ejpam-2596	279	4	m≥	m≥	NOUN
ejpam-2596	279	5	1	1	NUM
ejpam-2596	279	6	)	)	PUNCT
ejpam-2596	279	7	.	.	PUNCT
ejpam-2596	280	1	for	for	ADP
ejpam-2596	280	2	hr	hr	NOUN
ejpam-2596	280	3	n	n	CCONJ
ejpam-2596	280	4	≤	≤	NUM
ejpam-2596	280	5	1	1	NUM
ejpam-2596	280	6	,	,	PUNCT
ejpam-2596	280	7	since	since	SCONJ
ejpam-2596	280	8	mhr	mhr	PROPN
ejpam-2596	280	9	n	n	CCONJ
ejpam-2596	280	10	≤	≤	NUM
ejpam-2596	280	11	1	1	NUM
ejpam-2596	280	12	1	1	NUM
ejpam-2596	280	13	n	n	NUM
ejpam-2596	280	14	q+n−1	q+n−1	PROPN
ejpam-2596	280	15	∑	∑	PUNCT
ejpam-2596	280	16	j	j	X
ejpam-2596	280	17	=	=	PROPN
ejpam-2596	280	18	q	q	NOUN
ejpam-2596	280	19	∞	∞	NUM
ejpam-2596	280	20	∑	∑	PUNCT
ejpam-2596	280	21	k=1	k=1	PROPN
ejpam-2596	280	22	�	�	PROPN
ejpam-2596	280	23	mk	mk	PROPN
ejpam-2596	280	24	�	�	PROPN
ejpam-2596	280	25	x	x	PROPN
ejpam-2596	280	26	j	j	PROPN
ejpam-2596	280	27	−λ	−λ	PROPN
ejpam-2596	280	28	ρ	ρ	PROPN
ejpam-2596	280	29	,	,	PUNCT
ejpam-2596	280	30	z1	z1	PROPN
ejpam-2596	280	31	,	,	PUNCT
ejpam-2596	280	32	.	.	PUNCT
ejpam-2596	280	33	.	.	PUNCT
ejpam-2596	280	34	.	.	PUNCT
ejpam-2596	281	1	,	,	PUNCT
ejpam-2596	281	2	zn−1	zn−1	PROPN
ejpam-2596	281	3	�	�	PROPN
ejpam-2596	281	4	�	�	PROPN
ejpam-2596	281	5	pk	pk	NOUN
ejpam-2596	281	6	≤	≤	NUM
ejpam-2596	281	7	2ε	2ε	NOUN
ejpam-2596	281	8	.	.	PUNCT
ejpam-2596	282	1	then	then	ADV
ejpam-2596	282	2	by	by	ADP
ejpam-2596	282	3	lemma	lemma	PROPN
ejpam-2596	282	4	1	1	NUM
ejpam-2596	282	5	,	,	PUNCT
ejpam-2596	282	6	�	�	PROPN
ejpam-2596	282	7	m	m	PRON
ejpam-2596	282	8	,	,	PUNCT
ejpam-2596	282	9	[	[	X
ejpam-2596	282	10	fθ	fθ	X
ejpam-2596	282	11	]	]	X
ejpam-2596	282	12	,	,	PUNCT
ejpam-2596	282	13	p,‖	p,‖	PROPN
ejpam-2596	282	14	·	·	PUNCT
ejpam-2596	282	15	,	,	PUNCT
ejpam-2596	282	16	.	.	PUNCT
ejpam-2596	282	17	.	.	PUNCT
ejpam-2596	282	18	.	.	PUNCT
ejpam-2596	283	1	,	,	PUNCT
ejpam-2596	283	2	·	·	PUNCT
ejpam-2596	283	3	‖	‖	PROPN
ejpam-2596	283	4	�	�	PROPN
ejpam-2596	283	5	⊆	⊆	NUM
ejpam-2596	283	6	�	�	PROPN
ejpam-2596	283	7	m	m	PRON
ejpam-2596	283	8	,	,	PUNCT
ejpam-2596	284	1	[	[	X
ejpam-2596	284	2	f	f	X
ejpam-2596	284	3	]	]	X
ejpam-2596	284	4	,	,	PUNCT
ejpam-2596	284	5	p,‖	p,‖	PROPN
ejpam-2596	284	6	·	·	PUNCT
ejpam-2596	284	7	,	,	PUNCT
ejpam-2596	284	8	.	.	PUNCT
ejpam-2596	284	9	.	.	PUNCT
ejpam-2596	284	10	.	.	PUNCT
ejpam-2596	285	1	,	,	PUNCT
ejpam-2596	285	2	·	·	PUNCT
ejpam-2596	285	3	‖	‖	PROPN
ejpam-2596	285	4	�	�	PROPN
ejpam-2596	285	5	.	.	PUNCT
ejpam-2596	286	1	it	it	PRON
ejpam-2596	286	2	is	be	AUX
ejpam-2596	286	3	trivial	trivial	ADJ
ejpam-2596	286	4	to	to	PART
ejpam-2596	286	5	show	show	VERB
ejpam-2596	286	6	that	that	SCONJ
ejpam-2596	286	7	�	�	PROPN
ejpam-2596	286	8	m	m	PROPN
ejpam-2596	286	9	,	,	PUNCT
ejpam-2596	287	1	[	[	X
ejpam-2596	287	2	f	f	X
ejpam-2596	287	3	]	]	X
ejpam-2596	287	4	,	,	PUNCT
ejpam-2596	287	5	p,‖	p,‖	PROPN
ejpam-2596	287	6	·	·	PUNCT
ejpam-2596	287	7	,	,	PUNCT
ejpam-2596	287	8	.	.	PUNCT
ejpam-2596	287	9	.	.	PUNCT
ejpam-2596	287	10	.	.	PUNCT
ejpam-2596	288	1	,	,	PUNCT
ejpam-2596	288	2	·	·	PUNCT
ejpam-2596	288	3	‖	‖	PROPN
ejpam-2596	288	4	�	�	PROPN
ejpam-2596	288	5	⊆	⊆	NUM
ejpam-2596	288	6	�	�	PROPN
ejpam-2596	288	7	m	m	PRON
ejpam-2596	288	8	,	,	PUNCT
ejpam-2596	288	9	[	[	X
ejpam-2596	288	10	fθ	fθ	X
ejpam-2596	288	11	]	]	X
ejpam-2596	288	12	,	,	PUNCT
ejpam-2596	288	13	p,‖	p,‖	PROPN
ejpam-2596	288	14	·	·	PUNCT
ejpam-2596	288	15	,	,	PUNCT
ejpam-2596	288	16	.	.	PUNCT
ejpam-2596	288	17	.	.	PUNCT
ejpam-2596	288	18	.	.	PUNCT
ejpam-2596	289	1	,	,	PUNCT
ejpam-2596	289	2	·	·	PUNCT
ejpam-2596	289	3	‖	‖	PROPN
ejpam-2596	289	4	�	�	PROPN
ejpam-2596	289	5	for	for	ADP
ejpam-2596	289	6	every	every	DET
ejpam-2596	289	7	θ	θ	NOUN
ejpam-2596	289	8	.	.	PUNCT
ejpam-2596	290	1	hence	hence	ADV
ejpam-2596	290	2	we	we	PRON
ejpam-2596	290	3	have	have	VERB
ejpam-2596	290	4	the	the	DET
ejpam-2596	290	5	result	result	NOUN
ejpam-2596	290	6	.	.	PUNCT
ejpam-2596	291	1	lemma	lemma	PROPN
ejpam-2596	291	2	2	2	X
ejpam-2596	291	3	.	.	PUNCT
ejpam-2596	291	4	suppose	suppose	VERB
ejpam-2596	291	5	for	for	ADP
ejpam-2596	291	6	a	a	DET
ejpam-2596	291	7	given	give	VERB
ejpam-2596	291	8	ε	ε	PROPN
ejpam-2596	291	9	>	>	X
ejpam-2596	291	10	0	0	PUNCT
ejpam-2596	291	11	there	there	PRON
ejpam-2596	291	12	exist	exist	VERB
ejpam-2596	291	13	n0	n0	ADJ
ejpam-2596	291	14	and	and	CCONJ
ejpam-2596	291	15	q0	q0	VERB
ejpam-2596	291	16	such	such	ADJ
ejpam-2596	291	17	that	that	SCONJ
ejpam-2596	291	18	∞	∞	PROPN
ejpam-2596	291	19	∑	∑	PUNCT
ejpam-2596	291	20	k=1	k=1	PROPN
ejpam-2596	291	21	�	�	PROPN
ejpam-2596	291	22	mk	mk	PROPN
ejpam-2596	291	23	1	1	NUM
ejpam-2596	291	24	n	n	VERB
ejpam-2596	291	25	q+n−1	q+n−1	PROPN
ejpam-2596	291	26	∑	∑	PROPN
ejpam-2596	291	27	j	j	PROPN
ejpam-2596	291	28	=	=	PROPN
ejpam-2596	291	29	q	q	PROPN
ejpam-2596	291	30	�	�	PROPN
ejpam-2596	291	31	x	x	SYM
ejpam-2596	291	32	j	j	PROPN
ejpam-2596	291	33	−λ	−λ	PROPN
ejpam-2596	291	34	ρ	ρ	PROPN
ejpam-2596	291	35	,	,	PUNCT
ejpam-2596	291	36	z1	z1	PROPN
ejpam-2596	291	37	,	,	PUNCT
ejpam-2596	291	38	.	.	PUNCT
ejpam-2596	291	39	.	.	PUNCT
ejpam-2596	292	1	.	.	PUNCT
ejpam-2596	293	1	,	,	PUNCT
ejpam-2596	293	2	zn−1	zn−1	PROPN
ejpam-2596	293	3	�	�	PROPN
ejpam-2596	293	4	�	�	PROPN
ejpam-2596	293	5	pk	pk	NOUN
ejpam-2596	293	6	<	<	X
ejpam-2596	293	7	ε	ε	PROPN
ejpam-2596	293	8	for	for	ADP
ejpam-2596	293	9	all	all	DET
ejpam-2596	293	10	n≥	n≥	PROPN
ejpam-2596	293	11	n0	n0	NUM
ejpam-2596	293	12	,	,	PUNCT
ejpam-2596	293	13	q	q	PRON
ejpam-2596	293	14	≥	≥	NOUN
ejpam-2596	293	15	q0	q0	VERB
ejpam-2596	293	16	,	,	PUNCT
ejpam-2596	293	17	for	for	ADP
ejpam-2596	293	18	every	every	DET
ejpam-2596	293	19	nonzero	nonzero	ADJ
ejpam-2596	293	20	z1	z1	NOUN
ejpam-2596	293	21	,	,	PUNCT
ejpam-2596	293	22	.	.	PUNCT
ejpam-2596	293	23	.	.	PUNCT
ejpam-2596	294	1	.	.	PUNCT
ejpam-2596	295	1	,	,	PUNCT
ejpam-2596	295	2	zn−1	zn−1	PROPN
ejpam-2596	295	3	∈	∈	PROPN
ejpam-2596	295	4	x	x	X
ejpam-2596	295	5	and	and	CCONJ
ejpam-2596	295	6	for	for	ADP
ejpam-2596	295	7	some	some	DET
ejpam-2596	295	8	ρ	ρ	NOUN
ejpam-2596	295	9	>	>	X
ejpam-2596	295	10	0	0	PROPN
ejpam-2596	295	11	.	.	PUNCT
ejpam-2596	296	1	then	then	ADV
ejpam-2596	296	2	x	x	SYM
ejpam-2596	296	3	∈	∈	PROPN
ejpam-2596	296	4	�	�	PROPN
ejpam-2596	296	5	m	m	PROPN
ejpam-2596	296	6	,	,	PUNCT
ejpam-2596	296	7	f	f	X
ejpam-2596	296	8	,	,	PUNCT
ejpam-2596	296	9	p,‖	p,‖	PROPN
ejpam-2596	296	10	·	·	PUNCT
ejpam-2596	296	11	,	,	PUNCT
ejpam-2596	296	12	.	.	PUNCT
ejpam-2596	296	13	.	.	PUNCT
ejpam-2596	296	14	.	.	PUNCT
ejpam-2596	297	1	,	,	PUNCT
ejpam-2596	297	2	·	·	PUNCT
ejpam-2596	297	3	‖	‖	PROPN
ejpam-2596	297	4	�	�	PROPN
ejpam-2596	297	5	.	.	PUNCT
ejpam-2596	298	1	proof	proof	NOUN
ejpam-2596	298	2	.	.	PUNCT
ejpam-2596	299	1	let	let	VERB
ejpam-2596	299	2	ε	ε	PROPN
ejpam-2596	299	3	>	>	X
ejpam-2596	299	4	0	0	PUNCT
ejpam-2596	299	5	be	be	AUX
ejpam-2596	299	6	given	give	VERB
ejpam-2596	299	7	.	.	PUNCT
ejpam-2596	300	1	choose	choose	AUX
ejpam-2596	300	2	n′0	n′0	PROPN
ejpam-2596	300	3	,	,	PUNCT
ejpam-2596	300	4	q0	q0	VERB
ejpam-2596	300	5	such	such	ADJ
ejpam-2596	300	6	that	that	SCONJ
ejpam-2596	300	7	∞	∞	PROPN
ejpam-2596	300	8	∑	∑	PUNCT
ejpam-2596	300	9	k=1	k=1	PROPN
ejpam-2596	300	10	�	�	PROPN
ejpam-2596	300	11	mk	mk	PROPN
ejpam-2596	300	12	1	1	NUM
ejpam-2596	300	13	n	n	VERB
ejpam-2596	300	14	q+n−1	q+n−1	PROPN
ejpam-2596	300	15	∑	∑	PROPN
ejpam-2596	300	16	j	j	PROPN
ejpam-2596	300	17	=	=	PROPN
ejpam-2596	300	18	q	q	PROPN
ejpam-2596	300	19	�	�	PROPN
ejpam-2596	300	20	x	x	SYM
ejpam-2596	300	21	j	j	PROPN
ejpam-2596	300	22	−λ	−λ	PROPN
ejpam-2596	300	23	ρ	ρ	PROPN
ejpam-2596	300	24	,	,	PUNCT
ejpam-2596	300	25	z1	z1	PROPN
ejpam-2596	300	26	,	,	PUNCT
ejpam-2596	300	27	.	.	PUNCT
ejpam-2596	300	28	.	.	PUNCT
ejpam-2596	301	1	.	.	PUNCT
ejpam-2596	302	1	,	,	PUNCT
ejpam-2596	302	2	zn−1	zn−1	PROPN
ejpam-2596	302	3	�	�	PROPN
ejpam-2596	302	4	�	�	PROPN
ejpam-2596	302	5	pk	pk	NOUN
ejpam-2596	302	6	<	<	X
ejpam-2596	302	7	ε	ε	PROPN
ejpam-2596	302	8	2	2	NUM
ejpam-2596	302	9	(	(	PUNCT
ejpam-2596	302	10	5	5	NUM
ejpam-2596	302	11	)	)	PUNCT
ejpam-2596	302	12	for	for	ADP
ejpam-2596	302	13	all	all	DET
ejpam-2596	302	14	n	n	PRON
ejpam-2596	302	15	≥	≥	NOUN
ejpam-2596	302	16	n′0	n′0	NOUN
ejpam-2596	302	17	,	,	PUNCT
ejpam-2596	302	18	q	q	PROPN
ejpam-2596	302	19	≥	≥	NOUN
ejpam-2596	302	20	q0	q0	VERB
ejpam-2596	302	21	.	.	PUNCT
ejpam-2596	303	1	as	as	ADP
ejpam-2596	303	2	in	in	ADP
ejpam-2596	303	3	lemma	lemma	PROPN
ejpam-2596	303	4	1	1	NUM
ejpam-2596	303	5	,	,	PUNCT
ejpam-2596	303	6	it	it	PRON
ejpam-2596	303	7	is	be	AUX
ejpam-2596	303	8	enough	enough	ADJ
ejpam-2596	303	9	to	to	PART
ejpam-2596	303	10	prove	prove	VERB
ejpam-2596	303	11	that	that	SCONJ
ejpam-2596	303	12	there	there	PRON
ejpam-2596	303	13	exists	exist	VERB
ejpam-2596	303	14	n′′0	n′′0	ADP
ejpam-2596	303	15	such	such	ADJ
ejpam-2596	303	16	that	that	PRON
ejpam-2596	303	17	for	for	ADP
ejpam-2596	303	18	n≥	n≥	PROPN
ejpam-2596	303	19	n′′0	n′′0	ADP
ejpam-2596	303	20	,	,	PUNCT
ejpam-2596	303	21	0≤	0≤	NUM
ejpam-2596	303	22	q	q	PROPN
ejpam-2596	303	23	≤	≤	PUNCT
ejpam-2596	303	24	q0	q0	VERB
ejpam-2596	303	25	∞	∞	PROPN
ejpam-2596	303	26	∑	∑	PUNCT
ejpam-2596	303	27	k=1	k=1	PROPN
ejpam-2596	303	28	�	�	PROPN
ejpam-2596	303	29	mk	mk	PROPN
ejpam-2596	303	30	1	1	NUM
ejpam-2596	303	31	n	n	VERB
ejpam-2596	303	32	q+n−1	q+n−1	VERB
ejpam-2596	303	33	∑	∑	PUNCT
ejpam-2596	303	34	i=0	i=0	PROPN
ejpam-2596	303	35	�	�	PROPN
ejpam-2596	303	36	x	x	SYM
ejpam-2596	303	37	j	j	PROPN
ejpam-2596	303	38	−λ	−λ	PROPN
ejpam-2596	303	39	ρ	ρ	PROPN
ejpam-2596	303	40	,	,	PUNCT
ejpam-2596	303	41	z1	z1	PROPN
ejpam-2596	303	42	,	,	PUNCT
ejpam-2596	303	43	.	.	PUNCT
ejpam-2596	303	44	.	.	PUNCT
ejpam-2596	304	1	.	.	PUNCT
ejpam-2596	305	1	,	,	PUNCT
ejpam-2596	305	2	zn−1	zn−1	PROPN
ejpam-2596	305	3	�	�	PROPN
ejpam-2596	305	4	�	�	PROPN
ejpam-2596	305	5	pk	pk	NOUN
ejpam-2596	305	6	<	<	X
ejpam-2596	305	7	ε	ε	PROPN
ejpam-2596	305	8	.	.	PUNCT
ejpam-2596	305	9	(	(	PUNCT
ejpam-2596	305	10	6	6	NUM
ejpam-2596	305	11	)	)	PUNCT
ejpam-2596	305	12	since	since	SCONJ
ejpam-2596	305	13	q0	q0	PROPN
ejpam-2596	305	14	is	be	AUX
ejpam-2596	305	15	fixed	fix	VERB
ejpam-2596	305	16	,	,	PUNCT
ejpam-2596	305	17	let	let	VERB
ejpam-2596	305	18	q0−1	q0−1	PROPN
ejpam-2596	305	19	∑	∑	PUNCT
ejpam-2596	305	20	j=0	j=0	PROPN
ejpam-2596	305	21	∞	∞	PROPN
ejpam-2596	305	22	∑	∑	PUNCT
ejpam-2596	305	23	k=1	k=1	PROPN
ejpam-2596	305	24	�	�	PROPN
ejpam-2596	305	25	mk	mk	PROPN
ejpam-2596	305	26	�	�	PROPN
ejpam-2596	305	27	x	x	PROPN
ejpam-2596	306	1	j	j	PROPN
ejpam-2596	306	2	−λ	−λ	PROPN
ejpam-2596	306	3	ρ	ρ	PROPN
ejpam-2596	306	4	,	,	PUNCT
ejpam-2596	306	5	z1	z1	PROPN
ejpam-2596	306	6	,	,	PUNCT
ejpam-2596	306	7	.	.	PUNCT
ejpam-2596	306	8	.	.	PUNCT
ejpam-2596	307	1	.	.	PUNCT
ejpam-2596	308	1	,	,	PUNCT
ejpam-2596	308	2	zn−1	zn−1	PROPN
ejpam-2596	308	3	�	�	PROPN
ejpam-2596	308	4	�	�	PROPN
ejpam-2596	308	5	pk	pk	NOUN
ejpam-2596	308	6	=	=	PROPN
ejpam-2596	308	7	k	k	PROPN
ejpam-2596	308	8	′	′	PROPN
ejpam-2596	308	9	,	,	PUNCT
ejpam-2596	308	10	(	(	PUNCT
ejpam-2596	308	11	7	7	X
ejpam-2596	308	12	)	)	PUNCT
ejpam-2596	308	13	for	for	ADP
ejpam-2596	308	14	some	some	DET
ejpam-2596	308	15	k	k	PROPN
ejpam-2596	308	16	′.	′.	NOUN
ejpam-2596	308	17	now	now	ADV
ejpam-2596	308	18	taking	take	VERB
ejpam-2596	308	19	0≤	0≤	NUM
ejpam-2596	308	20	q	q	ADJ
ejpam-2596	308	21	≤	≤	NOUN
ejpam-2596	308	22	q0	q0	NOUN
ejpam-2596	308	23	and	and	CCONJ
ejpam-2596	308	24	n	n	CCONJ
ejpam-2596	308	25	>	>	ADV
ejpam-2596	308	26	q0	q0	PROPN
ejpam-2596	308	27	,	,	PUNCT
ejpam-2596	308	28	we	we	PRON
ejpam-2596	308	29	have	have	VERB
ejpam-2596	308	30	∞	∞	PROPN
ejpam-2596	308	31	∑	∑	X
ejpam-2596	308	32	k=1	k=1	PROPN
ejpam-2596	308	33	�	�	PROPN
ejpam-2596	308	34	mk	mk	PROPN
ejpam-2596	308	35	1	1	NUM
ejpam-2596	308	36	n	n	VERB
ejpam-2596	308	37	q+n−1	q+n−1	PROPN
ejpam-2596	308	38	∑	∑	PROPN
ejpam-2596	308	39	j	j	PROPN
ejpam-2596	308	40	=	=	PROPN
ejpam-2596	308	41	q	q	PROPN
ejpam-2596	308	42	�	�	PROPN
ejpam-2596	308	43	x	x	SYM
ejpam-2596	308	44	j	j	PROPN
ejpam-2596	308	45	−λ	−λ	PROPN
ejpam-2596	308	46	ρ	ρ	PROPN
ejpam-2596	308	47	,	,	PUNCT
ejpam-2596	308	48	z1	z1	PROPN
ejpam-2596	308	49	,	,	PUNCT
ejpam-2596	308	50	.	.	PUNCT
ejpam-2596	308	51	.	.	PUNCT
ejpam-2596	309	1	.	.	PUNCT
ejpam-2596	310	1	,	,	PUNCT
ejpam-2596	310	2	zn−1	zn−1	PROPN
ejpam-2596	310	3	�	�	PROPN
ejpam-2596	310	4	�	�	PROPN
ejpam-2596	310	5	pk	pk	NOUN
ejpam-2596	310	6	≤	≤	NUM
ejpam-2596	310	7	∞	∞	NUM
ejpam-2596	310	8	∑	∑	PUNCT
ejpam-2596	310	9	k=1	k=1	PROPN
ejpam-2596	310	10	�	�	PROPN
ejpam-2596	310	11	mk	mk	PROPN
ejpam-2596	310	12	1	1	NUM
ejpam-2596	310	13	n	n	PROPN
ejpam-2596	310	14	q0−1	q0−1	PROPN
ejpam-2596	310	15	∑	∑	PROPN
ejpam-2596	310	16	j	j	PROPN
ejpam-2596	310	17	=	=	PROPN
ejpam-2596	310	18	q	q	PROPN
ejpam-2596	310	19	�	�	PROPN
ejpam-2596	310	20	x	x	SYM
ejpam-2596	310	21	j	j	PROPN
ejpam-2596	310	22	−λ	−λ	PROPN
ejpam-2596	310	23	ρ	ρ	PROPN
ejpam-2596	310	24	,	,	PUNCT
ejpam-2596	310	25	z1	z1	PROPN
ejpam-2596	310	26	,	,	PUNCT
ejpam-2596	310	27	.	.	PUNCT
ejpam-2596	310	28	.	.	PUNCT
ejpam-2596	310	29	.	.	PUNCT
ejpam-2596	311	1	,	,	PUNCT
ejpam-2596	311	2	zn−1	zn−1	PROPN
ejpam-2596	311	3	�	�	PROPN
ejpam-2596	311	4	�	�	PROPN
ejpam-2596	311	5	pk	pk	PROPN
ejpam-2596	311	6	k.	k.	PROPN
ejpam-2596	311	7	raj	raj	PROPN
ejpam-2596	311	8	,	,	PUNCT
ejpam-2596	311	9	r.	r.	PROPN
ejpam-2596	311	10	anand	anand	PROPN
ejpam-2596	311	11	,	,	PUNCT
ejpam-2596	311	12	s.	s.	PROPN
ejpam-2596	311	13	jamwal	jamwal	PROPN
ejpam-2596	311	14	/	/	SYM
ejpam-2596	311	15	eur	eur	PROPN
ejpam-2596	311	16	.	.	PUNCT
ejpam-2596	312	1	j.	j.	PROPN
ejpam-2596	312	2	pure	pure	PROPN
ejpam-2596	312	3	appl	appl	PROPN
ejpam-2596	312	4	.	.	PROPN
ejpam-2596	312	5	math	math	PROPN
ejpam-2596	312	6	,	,	PUNCT
ejpam-2596	312	7	9	9	NUM
ejpam-2596	312	8	(	(	PUNCT
ejpam-2596	312	9	2016	2016	NUM
ejpam-2596	312	10	)	)	PUNCT
ejpam-2596	312	11	,	,	PUNCT
ejpam-2596	312	12	464	464	NUM
ejpam-2596	312	13	-	-	SYM
ejpam-2596	312	14	478	478	NUM
ejpam-2596	312	15	471	471	NUM
ejpam-2596	312	16	+	+	CCONJ
ejpam-2596	312	17	∞	∞	NUM
ejpam-2596	312	18	∑	∑	PUNCT
ejpam-2596	312	19	k=1	k=1	PROPN
ejpam-2596	312	20	�	�	PROPN
ejpam-2596	312	21	mk	mk	PROPN
ejpam-2596	312	22	1	1	NUM
ejpam-2596	312	23	n	n	VERB
ejpam-2596	312	24	q+n−1	q+n−1	PROPN
ejpam-2596	312	25	∑	∑	PROPN
ejpam-2596	312	26	j	j	PROPN
ejpam-2596	312	27	=	=	PROPN
ejpam-2596	312	28	q0	q0	PROPN
ejpam-2596	312	29	�	�	PROPN
ejpam-2596	312	30	x	x	SYM
ejpam-2596	312	31	j	j	PROPN
ejpam-2596	312	32	−λ	−λ	PROPN
ejpam-2596	312	33	ρ	ρ	PROPN
ejpam-2596	312	34	,	,	PUNCT
ejpam-2596	312	35	z1	z1	PROPN
ejpam-2596	312	36	,	,	PUNCT
ejpam-2596	312	37	.	.	PUNCT
ejpam-2596	312	38	.	.	PUNCT
ejpam-2596	313	1	.	.	PUNCT
ejpam-2596	314	1	,	,	PUNCT
ejpam-2596	314	2	zn−1	zn−1	PROPN
ejpam-2596	314	3	�	�	PROPN
ejpam-2596	314	4	�	�	PROPN
ejpam-2596	314	5	pk	pk	NOUN
ejpam-2596	314	6	≤	≤	PROPN
ejpam-2596	314	7	k	k	NOUN
ejpam-2596	315	1	′	′	NUM
ejpam-2596	316	1	n	n	PROPN
ejpam-2596	317	1	+	+	CCONJ
ejpam-2596	318	1	∞	∞	NUM
ejpam-2596	318	2	∑	∑	PUNCT
ejpam-2596	318	3	k=1	k=1	PROPN
ejpam-2596	318	4	�	�	PROPN
ejpam-2596	318	5	mk	mk	PROPN
ejpam-2596	318	6	1	1	NUM
ejpam-2596	318	7	n	n	NUM
ejpam-2596	318	8	q0+n+q−q0−1	q0+n+q−q0−1	PROPN
ejpam-2596	318	9	∑	∑	PROPN
ejpam-2596	318	10	j	j	PROPN
ejpam-2596	318	11	=	=	PROPN
ejpam-2596	318	12	q0	q0	PROPN
ejpam-2596	318	13	�	�	PROPN
ejpam-2596	318	14	x	x	SYM
ejpam-2596	318	15	j	j	PROPN
ejpam-2596	318	16	−λ	−λ	PROPN
ejpam-2596	318	17	ρ	ρ	PROPN
ejpam-2596	318	18	,	,	PUNCT
ejpam-2596	318	19	z1	z1	PROPN
ejpam-2596	318	20	,	,	PUNCT
ejpam-2596	318	21	.	.	PUNCT
ejpam-2596	318	22	.	.	PUNCT
ejpam-2596	319	1	.	.	PUNCT
ejpam-2596	320	1	,	,	PUNCT
ejpam-2596	320	2	zn−1	zn−1	PROPN
ejpam-2596	320	3	�	�	PROPN
ejpam-2596	320	4	�	�	PROPN
ejpam-2596	320	5	pk	pk	PROPN
ejpam-2596	320	6	.	.	PUNCT
ejpam-2596	321	1	(	(	PUNCT
ejpam-2596	321	2	8)	8)	NUM
ejpam-2596	321	3	let	let	VERB
ejpam-2596	321	4	n−	n−	NOUN
ejpam-2596	321	5	q0	q0	VERB
ejpam-2596	321	6	>	>	X
ejpam-2596	322	1	n′0	n′0	PROPN
ejpam-2596	322	2	.	.	PUNCT
ejpam-2596	323	1	then	then	ADV
ejpam-2596	323	2	for	for	ADP
ejpam-2596	323	3	0≤	0≤	NUM
ejpam-2596	323	4	q	q	NOUN
ejpam-2596	323	5	<	<	X
ejpam-2596	323	6	q0	q0	PROPN
ejpam-2596	323	7	,	,	PUNCT
ejpam-2596	323	8	we	we	PRON
ejpam-2596	323	9	have	have	VERB
ejpam-2596	323	10	n+	n+	PUNCT
ejpam-2596	324	1	q−	q−	PROPN
ejpam-2596	324	2	q0	q0	PROPN
ejpam-2596	324	3	≥	≥	NOUN
ejpam-2596	324	4	n′0	n′0	NOUN
ejpam-2596	324	5	.	.	PUNCT
ejpam-2596	325	1	from	from	ADP
ejpam-2596	325	2	(	(	PUNCT
ejpam-2596	325	3	5	5	X
ejpam-2596	325	4	)	)	PUNCT
ejpam-2596	325	5	we	we	PRON
ejpam-2596	325	6	have	have	VERB
ejpam-2596	325	7	∞	∞	PROPN
ejpam-2596	325	8	∑	∑	X
ejpam-2596	325	9	k=1	k=1	PROPN
ejpam-2596	325	10	�	�	PROPN
ejpam-2596	325	11	mk	mk	PROPN
ejpam-2596	325	12	1	1	NUM
ejpam-2596	325	13	n+	n+	PUNCT
ejpam-2596	325	14	q+	q+	PUNCT
ejpam-2596	325	15	q0	q0	PROPN
ejpam-2596	326	1	q0+n+q−q0	q0+n+q−q0	VERB
ejpam-2596	326	2	∑	∑	PROPN
ejpam-2596	326	3	j	j	PROPN
ejpam-2596	326	4	=	=	PROPN
ejpam-2596	326	5	q0	q0	PROPN
ejpam-2596	326	6	�	�	PROPN
ejpam-2596	327	1	x	x	SYM
ejpam-2596	327	2	j	j	PROPN
ejpam-2596	327	3	−λ	−λ	PROPN
ejpam-2596	327	4	ρ	ρ	PROPN
ejpam-2596	327	5	,	,	PUNCT
ejpam-2596	327	6	z1	z1	PROPN
ejpam-2596	327	7	,	,	PUNCT
ejpam-2596	327	8	.	.	PUNCT
ejpam-2596	327	9	.	.	PUNCT
ejpam-2596	327	10	.	.	PUNCT
ejpam-2596	328	1	,	,	PUNCT
ejpam-2596	328	2	zn−1	zn−1	PROPN
ejpam-2596	328	3	�	�	PROPN
ejpam-2596	328	4	�	�	PROPN
ejpam-2596	328	5	pk	pk	NOUN
ejpam-2596	328	6	<	<	X
ejpam-2596	328	7	ε	ε	PROPN
ejpam-2596	328	8	2	2	NUM
ejpam-2596	328	9	.	.	PUNCT
ejpam-2596	329	1	(	(	PUNCT
ejpam-2596	329	2	9	9	NUM
ejpam-2596	329	3	)	)	PUNCT
ejpam-2596	329	4	from	from	ADP
ejpam-2596	329	5	equation	equation	NOUN
ejpam-2596	329	6	(	(	PUNCT
ejpam-2596	329	7	8)	8)	NUM
ejpam-2596	329	8	and	and	CCONJ
ejpam-2596	329	9	(	(	PUNCT
ejpam-2596	329	10	9	9	X
ejpam-2596	329	11	)	)	PUNCT
ejpam-2596	329	12	we	we	PRON
ejpam-2596	329	13	have	have	VERB
ejpam-2596	329	14	∞	∞	PROPN
ejpam-2596	329	15	∑	∑	X
ejpam-2596	329	16	k=1	k=1	PROPN
ejpam-2596	329	17	�	�	PROPN
ejpam-2596	329	18	mk	mk	PROPN
ejpam-2596	329	19	1	1	NUM
ejpam-2596	329	20	n	n	VERB
ejpam-2596	329	21	q+n−1	q+n−1	PROPN
ejpam-2596	329	22	∑	∑	PROPN
ejpam-2596	329	23	j	j	PROPN
ejpam-2596	329	24	=	=	PROPN
ejpam-2596	329	25	q	q	PROPN
ejpam-2596	329	26	�	�	PROPN
ejpam-2596	329	27	x	x	SYM
ejpam-2596	329	28	j	j	PROPN
ejpam-2596	329	29	−λ	−λ	PROPN
ejpam-2596	329	30	ρ	ρ	PROPN
ejpam-2596	329	31	,	,	PUNCT
ejpam-2596	329	32	z1	z1	PROPN
ejpam-2596	329	33	,	,	PUNCT
ejpam-2596	329	34	.	.	PUNCT
ejpam-2596	329	35	.	.	PUNCT
ejpam-2596	330	1	.	.	PUNCT
ejpam-2596	331	1	,	,	PUNCT
ejpam-2596	331	2	zn−1	zn−1	PROPN
ejpam-2596	331	3	�	�	PROPN
ejpam-2596	331	4	�	�	PROPN
ejpam-2596	331	5	pk	pk	NOUN
ejpam-2596	331	6	≤	≤	PROPN
ejpam-2596	331	7	k	k	NOUN
ejpam-2596	332	1	′	′	NUM
ejpam-2596	333	1	n	n	PROPN
ejpam-2596	334	1	+	+	CCONJ
ejpam-2596	335	1	n+	n+	PUNCT
ejpam-2596	336	1	q−	q−	PROPN
ejpam-2596	336	2	q0	q0	PROPN
ejpam-2596	336	3	n	n	CCONJ
ejpam-2596	336	4	ε	ε	PROPN
ejpam-2596	336	5	2	2	NUM
ejpam-2596	336	6	≤	≤	NOUN
ejpam-2596	336	7	k	k	NOUN
ejpam-2596	337	1	′	′	NUM
ejpam-2596	338	1	n	n	PROPN
ejpam-2596	339	1	+	+	CCONJ
ejpam-2596	339	2	ε	ε	PROPN
ejpam-2596	339	3	2	2	NUM
ejpam-2596	339	4	<	<	X
ejpam-2596	339	5	ε	ε	PROPN
ejpam-2596	339	6	,	,	PUNCT
ejpam-2596	339	7	for	for	ADP
ejpam-2596	339	8	sufficiently	sufficiently	ADV
ejpam-2596	339	9	large	large	ADJ
ejpam-2596	339	10	n.	n.	NOUN
ejpam-2596	339	11	hence	hence	ADV
ejpam-2596	339	12	the	the	DET
ejpam-2596	339	13	result	result	NOUN
ejpam-2596	339	14	.	.	PUNCT
ejpam-2596	340	1	theorem	theorem	NOUN
ejpam-2596	340	2	2	2	NUM
ejpam-2596	340	3	.	.	PUNCT
ejpam-2596	340	4	(	(	PUNCT
ejpam-2596	340	5	i	i	NOUN
ejpam-2596	340	6	)	)	PUNCT
ejpam-2596	340	7	for	for	ADP
ejpam-2596	340	8	every	every	DET
ejpam-2596	340	9	θ	θ	NOUN
ejpam-2596	340	10	,	,	PUNCT
ejpam-2596	340	11	we	we	PRON
ejpam-2596	340	12	have	have	VERB
ejpam-2596	340	13	�	�	PROPN
ejpam-2596	340	14	m	m	PRON
ejpam-2596	340	15	,	,	PUNCT
ejpam-2596	340	16	fθ	fθ	INTJ
ejpam-2596	340	17	,	,	PUNCT
ejpam-2596	340	18	p,‖	p,‖	PROPN
ejpam-2596	340	19	·	·	PUNCT
ejpam-2596	340	20	,	,	PUNCT
ejpam-2596	340	21	.	.	PUNCT
ejpam-2596	340	22	.	.	PUNCT
ejpam-2596	341	1	.	.	PUNCT
ejpam-2596	342	1	,	,	PUNCT
ejpam-2596	342	2	·	·	PUNCT
ejpam-2596	342	3	‖	‖	PROPN
ejpam-2596	342	4	�	�	PROPN
ejpam-2596	342	5	∩	∩	PROPN
ejpam-2596	342	6	�	�	PROPN
ejpam-2596	342	7	m	m	PROPN
ejpam-2596	342	8	,	,	PUNCT
ejpam-2596	342	9	l∞p,‖	l∞p,‖	ADJ
ejpam-2596	342	10	·	·	PUNCT
ejpam-2596	342	11	,	,	PUNCT
ejpam-2596	342	12	.	.	PUNCT
ejpam-2596	342	13	.	.	PUNCT
ejpam-2596	343	1	.	.	PUNCT
ejpam-2596	344	1	,	,	PUNCT
ejpam-2596	344	2	·	·	PUNCT
ejpam-2596	344	3	‖	‖	PROPN
ejpam-2596	344	4	�	�	PROPN
ejpam-2596	344	5	=	=	SYM
ejpam-2596	344	6	�	�	PROPN
ejpam-2596	344	7	m	m	PROPN
ejpam-2596	344	8	,	,	PUNCT
ejpam-2596	344	9	f	f	X
ejpam-2596	344	10	,	,	PUNCT
ejpam-2596	344	11	p,‖	p,‖	PROPN
ejpam-2596	344	12	·	·	PUNCT
ejpam-2596	344	13	,	,	PUNCT
ejpam-2596	344	14	.	.	PUNCT
ejpam-2596	344	15	.	.	PUNCT
ejpam-2596	345	1	.	.	PUNCT
ejpam-2596	346	1	,	,	PUNCT
ejpam-2596	346	2	·	·	PUNCT
ejpam-2596	346	3	‖	‖	PROPN
ejpam-2596	346	4	�	�	PROPN
ejpam-2596	346	5	.	.	PUNCT
ejpam-2596	347	1	(	(	PUNCT
ejpam-2596	347	2	ii	ii	NOUN
ejpam-2596	347	3	)	)	PUNCT
ejpam-2596	347	4	for	for	ADP
ejpam-2596	347	5	every	every	DET
ejpam-2596	347	6	θ	θ	NOUN
ejpam-2596	347	7	,	,	PUNCT
ejpam-2596	347	8	we	we	PRON
ejpam-2596	347	9	have	have	VERB
ejpam-2596	347	10	�	�	PROPN
ejpam-2596	347	11	m	m	PRON
ejpam-2596	347	12	,	,	PUNCT
ejpam-2596	347	13	fθ	fθ	INTJ
ejpam-2596	347	14	,	,	PUNCT
ejpam-2596	347	15	p,‖	p,‖	PROPN
ejpam-2596	347	16	·	·	PUNCT
ejpam-2596	347	17	,	,	PUNCT
ejpam-2596	347	18	.	.	PUNCT
ejpam-2596	347	19	.	.	PUNCT
ejpam-2596	348	1	.	.	PUNCT
ejpam-2596	349	1	,	,	PUNCT
ejpam-2596	349	2	·	·	PUNCT
ejpam-2596	349	3	‖	‖	PROPN
ejpam-2596	349	4	�	�	PROPN
ejpam-2596	349	5	6⊂	6⊂	NUM
ejpam-2596	349	6	�	�	PROPN
ejpam-2596	349	7	m	m	PROPN
ejpam-2596	349	8	,	,	PUNCT
ejpam-2596	349	9	l∞	l∞	PROPN
ejpam-2596	349	10	,	,	PUNCT
ejpam-2596	349	11	p,‖	p,‖	PROPN
ejpam-2596	349	12	·	·	PUNCT
ejpam-2596	349	13	,	,	PUNCT
ejpam-2596	349	14	.	.	PUNCT
ejpam-2596	349	15	.	.	PUNCT
ejpam-2596	350	1	.	.	PUNCT
ejpam-2596	351	1	,	,	PUNCT
ejpam-2596	351	2	·	·	PUNCT
ejpam-2596	351	3	‖	‖	PROPN
ejpam-2596	351	4	�	�	PROPN
ejpam-2596	351	5	.	.	PUNCT
ejpam-2596	352	1	proof	proof	NOUN
ejpam-2596	352	2	.	.	PUNCT
ejpam-2596	353	1	(	(	PUNCT
ejpam-2596	353	2	i	i	NOUN
ejpam-2596	353	3	)	)	PUNCT
ejpam-2596	353	4	let	let	VERB
ejpam-2596	353	5	{	{	PUNCT
ejpam-2596	353	6	x	x	SYM
ejpam-2596	353	7	j	j	PROPN
ejpam-2596	353	8	}	}	PUNCT
ejpam-2596	353	9	∈	∈	PROPN
ejpam-2596	353	10	�	�	PROPN
ejpam-2596	353	11	m	m	PROPN
ejpam-2596	353	12	,	,	PUNCT
ejpam-2596	353	13	fθ	fθ	INTJ
ejpam-2596	353	14	,	,	PUNCT
ejpam-2596	353	15	p,‖	p,‖	PROPN
ejpam-2596	353	16	·	·	PUNCT
ejpam-2596	353	17	,	,	PUNCT
ejpam-2596	353	18	.	.	PUNCT
ejpam-2596	353	19	.	.	PUNCT
ejpam-2596	354	1	.	.	PUNCT
ejpam-2596	355	1	,	,	PUNCT
ejpam-2596	355	2	·	·	PUNCT
ejpam-2596	355	3	‖	‖	PROPN
ejpam-2596	355	4	�	�	PROPN
ejpam-2596	355	5	∩	∩	PROPN
ejpam-2596	355	6	�	�	PROPN
ejpam-2596	355	7	m	m	PROPN
ejpam-2596	355	8	,	,	PUNCT
ejpam-2596	355	9	l∞	l∞	PROPN
ejpam-2596	355	10	,	,	PUNCT
ejpam-2596	355	11	p,‖	p,‖	PROPN
ejpam-2596	355	12	·	·	PUNCT
ejpam-2596	355	13	,	,	PUNCT
ejpam-2596	355	14	.	.	PUNCT
ejpam-2596	355	15	.	.	PUNCT
ejpam-2596	356	1	.	.	PUNCT
ejpam-2596	357	1	,	,	PUNCT
ejpam-2596	357	2	·	·	PUNCT
ejpam-2596	357	3	‖	‖	PROPN
ejpam-2596	357	4	�	�	PROPN
ejpam-2596	357	5	for	for	ADP
ejpam-2596	357	6	every	every	DET
ejpam-2596	357	7	ε	ε	PROPN
ejpam-2596	357	8	>	>	X
ejpam-2596	357	9	0	0	PROPN
ejpam-2596	357	10	,	,	PUNCT
ejpam-2596	357	11	there	there	PRON
ejpam-2596	357	12	exist	exist	VERB
ejpam-2596	357	13	r0	r0	NOUN
ejpam-2596	357	14	and	and	CCONJ
ejpam-2596	357	15	q0	q0	VERB
ejpam-2596	357	16	such	such	ADJ
ejpam-2596	357	17	that	that	SCONJ
ejpam-2596	357	18	∞	∞	PROPN
ejpam-2596	357	19	∑	∑	PUNCT
ejpam-2596	357	20	k=1	k=1	PROPN
ejpam-2596	357	21	�	�	PROPN
ejpam-2596	357	22	mk	mk	PROPN
ejpam-2596	357	23	1	1	NUM
ejpam-2596	357	24	hr	hr	NOUN
ejpam-2596	358	1	q+hr−1	q+hr−1	PROPN
ejpam-2596	358	2	∑	∑	PROPN
ejpam-2596	358	3	j	j	PROPN
ejpam-2596	358	4	=	=	PROPN
ejpam-2596	358	5	q	q	PROPN
ejpam-2596	358	6	�	�	PROPN
ejpam-2596	358	7	x	x	SYM
ejpam-2596	358	8	j	j	PROPN
ejpam-2596	358	9	−λ	−λ	PROPN
ejpam-2596	358	10	ρ	ρ	PROPN
ejpam-2596	358	11	,	,	PUNCT
ejpam-2596	358	12	z1	z1	PROPN
ejpam-2596	358	13	,	,	PUNCT
ejpam-2596	358	14	.	.	PUNCT
ejpam-2596	358	15	.	.	PUNCT
ejpam-2596	359	1	.	.	PUNCT
ejpam-2596	360	1	,	,	PUNCT
ejpam-2596	360	2	zn−1	zn−1	PROPN
ejpam-2596	360	3	�	�	PROPN
ejpam-2596	360	4	�	�	PROPN
ejpam-2596	360	5	pk	pk	NOUN
ejpam-2596	360	6	<	<	X
ejpam-2596	360	7	ε	ε	PROPN
ejpam-2596	360	8	2	2	NUM
ejpam-2596	360	9	(	(	PUNCT
ejpam-2596	360	10	10	10	NUM
ejpam-2596	360	11	)	)	PUNCT
ejpam-2596	360	12	for	for	ADP
ejpam-2596	360	13	r	r	NOUN
ejpam-2596	360	14	≥	≥	NOUN
ejpam-2596	360	15	r0	r0	NOUN
ejpam-2596	360	16	,	,	PUNCT
ejpam-2596	360	17	q	q	PRON
ejpam-2596	360	18	≥	≥	NOUN
ejpam-2596	360	19	q0	q0	VERB
ejpam-2596	360	20	,	,	PUNCT
ejpam-2596	360	21	q	q	NOUN
ejpam-2596	361	1	=	=	PUNCT
ejpam-2596	362	1	qr−1	qr−1	PROPN
ejpam-2596	363	1	+	+	CCONJ
ejpam-2596	363	2	1	1	NUM
ejpam-2596	363	3	+	+	NUM
ejpam-2596	363	4	i	i	PRON
ejpam-2596	363	5	,	,	PUNCT
ejpam-2596	363	6	i	i	PRON
ejpam-2596	363	7	≥	≥	VERB
ejpam-2596	363	8	0	0	NUM
ejpam-2596	363	9	.	.	PUNCT
ejpam-2596	363	10	now	now	ADV
ejpam-2596	363	11	let	let	VERB
ejpam-2596	363	12	n	n	PRON
ejpam-2596	363	13	≥	≥	PRON
ejpam-2596	363	14	hr	hr	NOUN
ejpam-2596	363	15	,	,	PUNCT
ejpam-2596	363	16	m	m	VERB
ejpam-2596	363	17	is	be	AUX
ejpam-2596	363	18	an	an	DET
ejpam-2596	363	19	integer	integer	NOUN
ejpam-2596	363	20	greater	great	ADJ
ejpam-2596	363	21	than	than	ADP
ejpam-2596	363	22	equal	equal	ADJ
ejpam-2596	363	23	to	to	ADP
ejpam-2596	363	24	1	1	NUM
ejpam-2596	363	25	.	.	PUNCT
ejpam-2596	364	1	then	then	ADV
ejpam-2596	364	2	∞	∞	NUM
ejpam-2596	364	3	∑	∑	PUNCT
ejpam-2596	364	4	k=1	k=1	PROPN
ejpam-2596	364	5	�	�	PROPN
ejpam-2596	364	6	mk	mk	PROPN
ejpam-2596	364	7	1	1	NUM
ejpam-2596	364	8	n	n	VERB
ejpam-2596	364	9	q+n−1	q+n−1	PROPN
ejpam-2596	364	10	∑	∑	PUNCT
ejpam-2596	364	11	j	j	X
ejpam-2596	364	12	=	=	PROPN
ejpam-2596	364	13	q	q	NOUN
ejpam-2596	364	14	∞	∞	NUM
ejpam-2596	364	15	∑	∑	PUNCT
ejpam-2596	364	16	k=1	k=1	PROPN
ejpam-2596	364	17	mk	mk	PROPN
ejpam-2596	364	18	�	�	PROPN
ejpam-2596	364	19	x	x	PROPN
ejpam-2596	364	20	j	j	PROPN
ejpam-2596	364	21	−λ	−λ	PROPN
ejpam-2596	364	22	ρ	ρ	PROPN
ejpam-2596	364	23	,	,	PUNCT
ejpam-2596	364	24	z1	z1	PROPN
ejpam-2596	364	25	,	,	PUNCT
ejpam-2596	364	26	.	.	PUNCT
ejpam-2596	364	27	.	.	PUNCT
ejpam-2596	365	1	.	.	PUNCT
ejpam-2596	366	1	,	,	PUNCT
ejpam-2596	366	2	zn−1	zn−1	PROPN
ejpam-2596	366	3	�	�	PROPN
ejpam-2596	366	4	�	�	PROPN
ejpam-2596	366	5	pk	pk	NOUN
ejpam-2596	366	6	≤	≤	NUM
ejpam-2596	366	7	∞	∞	NUM
ejpam-2596	366	8	∑	∑	PUNCT
ejpam-2596	366	9	k=1	k=1	PROPN
ejpam-2596	366	10	�	�	PROPN
ejpam-2596	366	11	mk	mk	PROPN
ejpam-2596	366	12	1	1	NUM
ejpam-2596	366	13	n	n	CCONJ
ejpam-2596	366	14	m−1	m−1	PROPN
ejpam-2596	366	15	∑	∑	PUNCT
ejpam-2596	366	16	µ=0	µ=0	PROPN
ejpam-2596	367	1	q+(µ+1)hr−1	q+(µ+1)hr−1	PRON
ejpam-2596	367	2	∑	∑	PROPN
ejpam-2596	367	3	j	j	X
ejpam-2596	367	4	=	=	PRON
ejpam-2596	367	5	q+µhr	q+µhr	ADJ
ejpam-2596	367	6	�	�	PROPN
ejpam-2596	367	7	x	x	PROPN
ejpam-2596	367	8	j	j	PROPN
ejpam-2596	367	9	−λ	−λ	PROPN
ejpam-2596	367	10	ρ	ρ	PROPN
ejpam-2596	367	11	,	,	PUNCT
ejpam-2596	367	12	z1	z1	PROPN
ejpam-2596	367	13	,	,	PUNCT
ejpam-2596	367	14	.	.	PUNCT
ejpam-2596	367	15	.	.	PUNCT
ejpam-2596	368	1	.	.	PUNCT
ejpam-2596	369	1	,	,	PUNCT
ejpam-2596	369	2	zn−1	zn−1	PROPN
ejpam-2596	369	3	�	�	PROPN
ejpam-2596	369	4	�	�	PROPN
ejpam-2596	369	5	pk	pk	PROPN
ejpam-2596	369	6	+	+	PROPN
ejpam-2596	369	7	1	1	NUM
ejpam-2596	369	8	n	n	PROPN
ejpam-2596	369	9	k.	k.	PROPN
ejpam-2596	369	10	raj	raj	PROPN
ejpam-2596	369	11	,	,	PUNCT
ejpam-2596	369	12	r.	r.	PROPN
ejpam-2596	369	13	anand	anand	PROPN
ejpam-2596	369	14	,	,	PUNCT
ejpam-2596	369	15	s.	s.	PROPN
ejpam-2596	369	16	jamwal	jamwal	PROPN
ejpam-2596	369	17	/	/	SYM
ejpam-2596	369	18	eur	eur	PROPN
ejpam-2596	369	19	.	.	PUNCT
ejpam-2596	370	1	j.	j.	PROPN
ejpam-2596	370	2	pure	pure	PROPN
ejpam-2596	370	3	appl	appl	PROPN
ejpam-2596	370	4	.	.	PROPN
ejpam-2596	370	5	math	math	PROPN
ejpam-2596	370	6	,	,	PUNCT
ejpam-2596	370	7	9	9	NUM
ejpam-2596	370	8	(	(	PUNCT
ejpam-2596	370	9	2016	2016	NUM
ejpam-2596	370	10	)	)	PUNCT
ejpam-2596	370	11	,	,	PUNCT
ejpam-2596	370	12	464	464	NUM
ejpam-2596	370	13	-	-	SYM
ejpam-2596	370	14	478	478	NUM
ejpam-2596	370	15	472	472	NUM
ejpam-2596	370	16	=	=	SYM
ejpam-2596	370	17	∞	∞	NUM
ejpam-2596	370	18	∑	∑	PUNCT
ejpam-2596	370	19	k=1	k=1	PROPN
ejpam-2596	370	20	�	�	PROPN
ejpam-2596	370	21	mk	mk	PROPN
ejpam-2596	370	22	q+n−1	q+n−1	PROPN
ejpam-2596	370	23	∑	∑	PROPN
ejpam-2596	370	24	j	j	PROPN
ejpam-2596	370	25	=	=	PROPN
ejpam-2596	370	26	q+mhr	q+mhr	SYM
ejpam-2596	370	27	�	�	PROPN
ejpam-2596	370	28	x	x	SYM
ejpam-2596	370	29	j	j	PROPN
ejpam-2596	370	30	−λ	−λ	PROPN
ejpam-2596	370	31	ρ	ρ	PROPN
ejpam-2596	370	32	,	,	PUNCT
ejpam-2596	370	33	z1	z1	PROPN
ejpam-2596	370	34	,	,	PUNCT
ejpam-2596	370	35	.	.	PUNCT
ejpam-2596	370	36	.	.	PUNCT
ejpam-2596	371	1	.	.	PUNCT
ejpam-2596	372	1	,	,	PUNCT
ejpam-2596	372	2	zn−1	zn−1	PROPN
ejpam-2596	372	3	�	�	PROPN
ejpam-2596	372	4	�	�	PROPN
ejpam-2596	372	5	pk	pk	PROPN
ejpam-2596	372	6	.	.	PUNCT
ejpam-2596	373	1	(	(	PUNCT
ejpam-2596	373	2	11	11	NUM
ejpam-2596	373	3	)	)	PUNCT
ejpam-2596	373	4	since	since	SCONJ
ejpam-2596	373	5	{	{	PUNCT
ejpam-2596	373	6	x	x	PROPN
ejpam-2596	373	7	j	j	PROPN
ejpam-2596	373	8	}	}	PUNCT
ejpam-2596	373	9	∈	∈	PROPN
ejpam-2596	373	10	�	�	PROPN
ejpam-2596	373	11	m	m	PROPN
ejpam-2596	373	12	,	,	PUNCT
ejpam-2596	373	13	l∞	l∞	PROPN
ejpam-2596	373	14	,	,	PUNCT
ejpam-2596	373	15	p,‖	p,‖	PROPN
ejpam-2596	373	16	·	·	PUNCT
ejpam-2596	373	17	,	,	PUNCT
ejpam-2596	373	18	.	.	PUNCT
ejpam-2596	373	19	.	.	PUNCT
ejpam-2596	373	20	.	.	PUNCT
ejpam-2596	374	1	,	,	PUNCT
ejpam-2596	374	2	·	·	PUNCT
ejpam-2596	374	3	‖	‖	PROPN
ejpam-2596	374	4	�	�	PROPN
ejpam-2596	374	5	for	for	ADP
ejpam-2596	374	6	all	all	DET
ejpam-2596	374	7	j	j	NOUN
ejpam-2596	374	8	,	,	PUNCT
ejpam-2596	374	9	we	we	PRON
ejpam-2596	374	10	have	have	AUX
ejpam-2596	374	11	∞	∞	PROPN
ejpam-2596	374	12	∑	∑	X
ejpam-2596	374	13	k=1	k=1	PROPN
ejpam-2596	374	14	�	�	PROPN
ejpam-2596	374	15	mk	mk	PROPN
ejpam-2596	374	16	�	�	PROPN
ejpam-2596	375	1	x	x	PROPN
ejpam-2596	375	2	j	j	PROPN
ejpam-2596	375	3	−λ	−λ	PROPN
ejpam-2596	375	4	ρ	ρ	PROPN
ejpam-2596	375	5	,	,	PUNCT
ejpam-2596	375	6	z1	z1	PROPN
ejpam-2596	375	7	,	,	PUNCT
ejpam-2596	375	8	.	.	PUNCT
ejpam-2596	375	9	.	.	PUNCT
ejpam-2596	376	1	.	.	PUNCT
ejpam-2596	377	1	,	,	PUNCT
ejpam-2596	377	2	zn−1	zn−1	PROPN
ejpam-2596	377	3	�	�	PROPN
ejpam-2596	377	4	�	�	PROPN
ejpam-2596	377	5	pk	pk	NOUN
ejpam-2596	377	6	<	<	X
ejpam-2596	377	7	k	k	X
ejpam-2596	377	8	,	,	PUNCT
ejpam-2596	377	9	for	for	ADP
ejpam-2596	377	10	some	some	DET
ejpam-2596	377	11	k	k	PROPN
ejpam-2596	377	12	.	.	PUNCT
ejpam-2596	378	1	so	so	ADV
ejpam-2596	378	2	from	from	ADP
ejpam-2596	378	3	(	(	PUNCT
ejpam-2596	378	4	10	10	NUM
ejpam-2596	378	5	)	)	PUNCT
ejpam-2596	378	6	and	and	CCONJ
ejpam-2596	378	7	(	(	PUNCT
ejpam-2596	378	8	11	11	NUM
ejpam-2596	378	9	)	)	PUNCT
ejpam-2596	378	10	∞	∞	NUM
ejpam-2596	378	11	∑	∑	PUNCT
ejpam-2596	378	12	k=1	k=1	PROPN
ejpam-2596	378	13	�	�	PROPN
ejpam-2596	378	14	mk	mk	PROPN
ejpam-2596	378	15	1	1	NUM
ejpam-2596	378	16	n	n	VERB
ejpam-2596	378	17	q+n−1	q+n−1	PROPN
ejpam-2596	378	18	∑	∑	PROPN
ejpam-2596	378	19	j	j	PROPN
ejpam-2596	378	20	=	=	PROPN
ejpam-2596	378	21	q	q	PROPN
ejpam-2596	378	22	�	�	PROPN
ejpam-2596	378	23	x	x	SYM
ejpam-2596	378	24	j	j	PROPN
ejpam-2596	378	25	−λ	−λ	PROPN
ejpam-2596	378	26	ρ	ρ	PROPN
ejpam-2596	378	27	,	,	PUNCT
ejpam-2596	378	28	z1	z1	PROPN
ejpam-2596	378	29	,	,	PUNCT
ejpam-2596	378	30	.	.	PUNCT
ejpam-2596	378	31	.	.	PUNCT
ejpam-2596	378	32	.	.	PUNCT
ejpam-2596	379	1	,	,	PUNCT
ejpam-2596	379	2	zn−1	zn−1	PROPN
ejpam-2596	379	3	�	�	PROPN
ejpam-2596	379	4	�	�	PROPN
ejpam-2596	379	5	pk	pk	NOUN
ejpam-2596	379	6	≤	≤	NUM
ejpam-2596	379	7	1	1	NUM
ejpam-2596	379	8	n	n	NOUN
ejpam-2596	379	9	m.hr	m.hr	PROPN
ejpam-2596	379	10	ε	ε	PROPN
ejpam-2596	379	11	2	2	NUM
ejpam-2596	379	12	+	+	CCONJ
ejpam-2596	379	13	khr	khr	PROPN
ejpam-2596	379	14	n	n	PROPN
ejpam-2596	379	15	,	,	PUNCT
ejpam-2596	379	16	for	for	ADP
ejpam-2596	379	17	hr	hr	NOUN
ejpam-2596	379	18	n	n	CCONJ
ejpam-2596	379	19	≤	≤	NUM
ejpam-2596	379	20	1	1	NUM
ejpam-2596	379	21	,	,	PUNCT
ejpam-2596	379	22	since	since	SCONJ
ejpam-2596	379	23	mhr	mhr	PROPN
ejpam-2596	379	24	n	n	CCONJ
ejpam-2596	379	25	≤	≤	PROPN
ejpam-2596	379	26	1	1	NUM
ejpam-2596	379	27	and	and	CCONJ
ejpam-2596	379	28	khr	khr	PROPN
ejpam-2596	379	29	n	n	PROPN
ejpam-2596	379	30	can	can	AUX
ejpam-2596	379	31	be	be	AUX
ejpam-2596	379	32	made	make	VERB
ejpam-2596	379	33	less	less	ADJ
ejpam-2596	379	34	than	than	ADP
ejpam-2596	379	35	ε	ε	PROPN
ejpam-2596	379	36	2	2	NUM
ejpam-2596	379	37	,	,	PUNCT
ejpam-2596	379	38	taking	take	VERB
ejpam-2596	379	39	n	n	ADV
ejpam-2596	379	40	sufficiently	sufficiently	ADV
ejpam-2596	379	41	large	large	ADJ
ejpam-2596	379	42	so	so	ADV
ejpam-2596	379	43	∞	∞	NUM
ejpam-2596	379	44	∑	∑	PUNCT
ejpam-2596	379	45	k=1	k=1	PROPN
ejpam-2596	379	46	�	�	PROPN
ejpam-2596	379	47	mk	mk	PROPN
ejpam-2596	379	48	1	1	NUM
ejpam-2596	379	49	n	n	VERB
ejpam-2596	379	50	q+n−1	q+n−1	PROPN
ejpam-2596	379	51	∑	∑	PROPN
ejpam-2596	379	52	j	j	PROPN
ejpam-2596	379	53	=	=	PROPN
ejpam-2596	379	54	q	q	PROPN
ejpam-2596	379	55	�	�	PROPN
ejpam-2596	379	56	x	x	SYM
ejpam-2596	379	57	j	j	PROPN
ejpam-2596	379	58	−λ	−λ	PROPN
ejpam-2596	379	59	ρ	ρ	PROPN
ejpam-2596	379	60	,	,	PUNCT
ejpam-2596	379	61	z1	z1	PROPN
ejpam-2596	379	62	,	,	PUNCT
ejpam-2596	379	63	.	.	PUNCT
ejpam-2596	379	64	.	.	PUNCT
ejpam-2596	380	1	.	.	PUNCT
ejpam-2596	381	1	,	,	PUNCT
ejpam-2596	381	2	zn−1	zn−1	PROPN
ejpam-2596	381	3	�	�	PROPN
ejpam-2596	381	4	�	�	PROPN
ejpam-2596	381	5	pk	pk	NOUN
ejpam-2596	381	6	<	<	X
ejpam-2596	381	7	ε	ε	PROPN
ejpam-2596	381	8	for	for	ADP
ejpam-2596	381	9	r	r	PROPN
ejpam-2596	381	10	≥	≥	NOUN
ejpam-2596	381	11	r0	r0	NOUN
ejpam-2596	381	12	,	,	PUNCT
ejpam-2596	381	13	q	q	PRON
ejpam-2596	381	14	≥	≥	NOUN
ejpam-2596	381	15	q0	q0	VERB
ejpam-2596	381	16	.	.	PUNCT
ejpam-2596	382	1	hence	hence	ADV
ejpam-2596	382	2	,	,	PUNCT
ejpam-2596	382	3	by	by	ADP
ejpam-2596	382	4	lemma	lemma	PROPN
ejpam-2596	382	5	2	2	NUM
ejpam-2596	382	6	,	,	PUNCT
ejpam-2596	382	7	�	�	PROPN
ejpam-2596	382	8	m	m	PROPN
ejpam-2596	382	9	,	,	PUNCT
ejpam-2596	382	10	fθ	fθ	INTJ
ejpam-2596	382	11	,	,	PUNCT
ejpam-2596	382	12	p,‖	p,‖	PROPN
ejpam-2596	382	13	·	·	PUNCT
ejpam-2596	382	14	,	,	PUNCT
ejpam-2596	382	15	.	.	PUNCT
ejpam-2596	382	16	.	.	PUNCT
ejpam-2596	382	17	.	.	PUNCT
ejpam-2596	383	1	,	,	PUNCT
ejpam-2596	383	2	·	·	PUNCT
ejpam-2596	383	3	‖	‖	PROPN
ejpam-2596	383	4	�	�	PROPN
ejpam-2596	383	5	∩	∩	PROPN
ejpam-2596	383	6	�	�	PROPN
ejpam-2596	383	7	m	m	PROPN
ejpam-2596	383	8	,	,	PUNCT
ejpam-2596	383	9	l∞	l∞	PROPN
ejpam-2596	383	10	,	,	PUNCT
ejpam-2596	383	11	p,‖	p,‖	PROPN
ejpam-2596	383	12	·	·	PUNCT
ejpam-2596	383	13	,	,	PUNCT
ejpam-2596	383	14	.	.	PUNCT
ejpam-2596	383	15	.	.	PUNCT
ejpam-2596	384	1	.	.	PUNCT
ejpam-2596	385	1	,	,	PUNCT
ejpam-2596	385	2	·	·	PUNCT
ejpam-2596	385	3	‖	‖	PROPN
ejpam-2596	385	4	�	�	PROPN
ejpam-2596	385	5	⊆	⊆	NUM
ejpam-2596	385	6	�	�	PROPN
ejpam-2596	385	7	m	m	PROPN
ejpam-2596	385	8	,	,	PUNCT
ejpam-2596	385	9	f	f	X
ejpam-2596	385	10	,	,	PUNCT
ejpam-2596	385	11	p,‖	p,‖	PROPN
ejpam-2596	385	12	·	·	PUNCT
ejpam-2596	385	13	,	,	PUNCT
ejpam-2596	385	14	.	.	PUNCT
ejpam-2596	385	15	.	.	PUNCT
ejpam-2596	385	16	.	.	PUNCT
ejpam-2596	386	1	,	,	PUNCT
ejpam-2596	386	2	·	·	PUNCT
ejpam-2596	386	3	‖	‖	PROPN
ejpam-2596	386	4	�	�	PROPN
ejpam-2596	386	5	.	.	PUNCT
ejpam-2596	387	1	it	it	PRON
ejpam-2596	387	2	is	be	AUX
ejpam-2596	387	3	trivial	trivial	ADJ
ejpam-2596	387	4	to	to	PART
ejpam-2596	387	5	show	show	VERB
ejpam-2596	387	6	that	that	SCONJ
ejpam-2596	387	7	�	�	PROPN
ejpam-2596	387	8	m	m	PROPN
ejpam-2596	387	9	,	,	PUNCT
ejpam-2596	387	10	f	f	X
ejpam-2596	387	11	,	,	PUNCT
ejpam-2596	387	12	p,‖	p,‖	PROPN
ejpam-2596	387	13	·	·	PUNCT
ejpam-2596	387	14	,	,	PUNCT
ejpam-2596	387	15	.	.	PUNCT
ejpam-2596	387	16	.	.	PUNCT
ejpam-2596	387	17	.	.	PUNCT
ejpam-2596	388	1	,	,	PUNCT
ejpam-2596	388	2	·	·	PUNCT
ejpam-2596	388	3	‖	‖	PROPN
ejpam-2596	388	4	�	�	PROPN
ejpam-2596	388	5	⊆	⊆	NUM
ejpam-2596	388	6	�	�	PROPN
ejpam-2596	388	7	m	m	PROPN
ejpam-2596	388	8	,	,	PUNCT
ejpam-2596	388	9	fθ	fθ	INTJ
ejpam-2596	388	10	,	,	PUNCT
ejpam-2596	388	11	p,‖	p,‖	PROPN
ejpam-2596	388	12	·	·	PUNCT
ejpam-2596	388	13	,	,	PUNCT
ejpam-2596	388	14	.	.	PUNCT
ejpam-2596	388	15	.	.	PUNCT
ejpam-2596	389	1	.	.	PUNCT
ejpam-2596	390	1	,	,	PUNCT
ejpam-2596	390	2	·	·	PUNCT
ejpam-2596	390	3	‖	‖	PROPN
ejpam-2596	390	4	�	�	PROPN
ejpam-2596	390	5	∩	∩	PROPN
ejpam-2596	390	6	�	�	PROPN
ejpam-2596	390	7	m	m	PROPN
ejpam-2596	390	8	,	,	PUNCT
ejpam-2596	390	9	l∞	l∞	PROPN
ejpam-2596	390	10	,	,	PUNCT
ejpam-2596	390	11	p,‖	p,‖	PROPN
ejpam-2596	390	12	·	·	PUNCT
ejpam-2596	390	13	,	,	PUNCT
ejpam-2596	390	14	.	.	PUNCT
ejpam-2596	390	15	.	.	PUNCT
ejpam-2596	391	1	.	.	PUNCT
ejpam-2596	392	1	,	,	PUNCT
ejpam-2596	392	2	·	·	PUNCT
ejpam-2596	392	3	‖	‖	PROPN
ejpam-2596	392	4	�	�	PROPN
ejpam-2596	392	5	.	.	PUNCT
ejpam-2596	393	1	(	(	PUNCT
ejpam-2596	393	2	ii	ii	X
ejpam-2596	393	3	)	)	PUNCT
ejpam-2596	393	4	it	it	PRON
ejpam-2596	393	5	is	be	AUX
ejpam-2596	393	6	enough	enough	ADJ
ejpam-2596	393	7	to	to	PART
ejpam-2596	393	8	show	show	VERB
ejpam-2596	393	9	�	�	PROPN
ejpam-2596	393	10	m	m	PROPN
ejpam-2596	393	11	,	,	PUNCT
ejpam-2596	393	12	fθ	fθ	INTJ
ejpam-2596	393	13	,	,	PUNCT
ejpam-2596	393	14	p,‖	p,‖	PROPN
ejpam-2596	393	15	·	·	PUNCT
ejpam-2596	393	16	,	,	PUNCT
ejpam-2596	393	17	.	.	PUNCT
ejpam-2596	393	18	.	.	PUNCT
ejpam-2596	393	19	.	.	PUNCT
ejpam-2596	394	1	,	,	PUNCT
ejpam-2596	394	2	·	·	PUNCT
ejpam-2596	394	3	‖	‖	PROPN
ejpam-2596	394	4	�	�	PROPN
ejpam-2596	394	5	6⊂	6⊂	NUM
ejpam-2596	394	6	�	�	PROPN
ejpam-2596	394	7	m	m	PROPN
ejpam-2596	394	8	,	,	PUNCT
ejpam-2596	394	9	l∞	l∞	PROPN
ejpam-2596	394	10	,	,	PUNCT
ejpam-2596	394	11	p,‖	p,‖	PROPN
ejpam-2596	394	12	·	·	PUNCT
ejpam-2596	394	13	,	,	PUNCT
ejpam-2596	394	14	.	.	PUNCT
ejpam-2596	394	15	.	.	PUNCT
ejpam-2596	395	1	.	.	PUNCT
ejpam-2596	396	1	,	,	PUNCT
ejpam-2596	396	2	·	·	PUNCT
ejpam-2596	396	3	‖	‖	PROPN
ejpam-2596	396	4	�	�	PROPN
ejpam-2596	396	5	.	.	PUNCT
ejpam-2596	397	1	let	let	VERB
ejpam-2596	397	2	{	{	PUNCT
ejpam-2596	397	3	x	x	PUNCT
ejpam-2596	397	4	j	j	PROPN
ejpam-2596	397	5	}	}	PUNCT
ejpam-2596	397	6	=	=	SYM
ejpam-2596	397	7	(	(	PUNCT
ejpam-2596	397	8	−1	−1	NOUN
ejpam-2596	397	9	)	)	PUNCT
ejpam-2596	397	10	j	j	PROPN
ejpam-2596	398	1	jµ	jµ	INTJ
ejpam-2596	398	2	where	where	SCONJ
ejpam-2596	398	3	µ	µ	NOUN
ejpam-2596	398	4	is	be	AUX
ejpam-2596	398	5	constant	constant	ADJ
ejpam-2596	398	6	with	with	ADP
ejpam-2596	398	7	0	0	NUM
ejpam-2596	398	8	<	<	X
ejpam-2596	399	1	µ	µ	X
ejpam-2596	399	2	<	<	X
ejpam-2596	399	3	1	1	NUM
ejpam-2596	399	4	.	.	PUNCT
ejpam-2596	399	5	then	then	ADV
ejpam-2596	399	6	q+hr−1	q+hr−1	PROPN
ejpam-2596	399	7	∑	∑	PROPN
ejpam-2596	399	8	j	j	X
ejpam-2596	399	9	=	=	PROPN
ejpam-2596	399	10	q	q	NOUN
ejpam-2596	399	11	x	x	X
ejpam-2596	399	12	j	j	PROPN
ejpam-2596	399	13	,	,	PUNCT
ejpam-2596	399	14	q	q	X
ejpam-2596	399	15	≥	≥	NOUN
ejpam-2596	399	16	0	0	NUM
ejpam-2596	399	17	will	will	AUX
ejpam-2596	399	18	contains	contain	VERB
ejpam-2596	399	19	an	an	DET
ejpam-2596	399	20	even	even	ADJ
ejpam-2596	399	21	number	number	NOUN
ejpam-2596	399	22	of	of	ADP
ejpam-2596	399	23	terms	term	NOUN
ejpam-2596	399	24	.	.	PUNCT
ejpam-2596	400	1	let	let	VERB
ejpam-2596	400	2	us	we	PRON
ejpam-2596	400	3	take	take	VERB
ejpam-2596	400	4	x	x	NOUN
ejpam-2596	400	5	=	=	SYM
ejpam-2596	400	6	rn	rn	PROPN
ejpam-2596	400	7	.	.	PUNCT
ejpam-2596	401	1	it	it	PRON
ejpam-2596	401	2	is	be	AUX
ejpam-2596	401	3	a	a	DET
ejpam-2596	401	4	straightforward	straightforward	ADJ
ejpam-2596	401	5	matter	matter	NOUN
ejpam-2596	401	6	to	to	PART
ejpam-2596	401	7	verify	verify	VERB
ejpam-2596	401	8	that	that	SCONJ
ejpam-2596	401	9	{	{	PUNCT
ejpam-2596	401	10	x	x	SYM
ejpam-2596	401	11	j	j	PROPN
ejpam-2596	401	12	}	}	PUNCT
ejpam-2596	401	13	∈	∈	PROPN
ejpam-2596	401	14	�	�	PROPN
ejpam-2596	401	15	m	m	PROPN
ejpam-2596	401	16	,	,	PUNCT
ejpam-2596	401	17	fθ	fθ	INTJ
ejpam-2596	401	18	,	,	PUNCT
ejpam-2596	401	19	p,‖	p,‖	PROPN
ejpam-2596	401	20	·	·	PUNCT
ejpam-2596	401	21	,	,	PUNCT
ejpam-2596	401	22	.	.	PUNCT
ejpam-2596	401	23	.	.	PUNCT
ejpam-2596	401	24	.	.	PUNCT
ejpam-2596	402	1	,	,	PUNCT
ejpam-2596	402	2	·	·	PUNCT
ejpam-2596	402	3	‖	‖	PROPN
ejpam-2596	402	4	�	�	PROPN
ejpam-2596	402	5	with	with	ADP
ejpam-2596	402	6	λ=	λ=	NOUN
ejpam-2596	402	7	0	0	NUM
ejpam-2596	402	8	.	.	PUNCT
ejpam-2596	403	1	but	but	CCONJ
ejpam-2596	403	2	{	{	PUNCT
ejpam-2596	403	3	x	x	SYM
ejpam-2596	403	4	j	j	NOUN
ejpam-2596	403	5	}	}	PUNCT
ejpam-2596	403	6	is	be	AUX
ejpam-2596	403	7	not	not	PART
ejpam-2596	403	8	bounded	bound	VERB
ejpam-2596	403	9	.	.	PUNCT
ejpam-2596	404	1	now	now	ADV
ejpam-2596	404	2	,	,	PUNCT
ejpam-2596	404	3	we	we	PRON
ejpam-2596	404	4	define	define	VERB
ejpam-2596	404	5	the	the	DET
ejpam-2596	404	6	paranorm	paranorm	NOUN
ejpam-2596	404	7	g(x	g(x	NOUN
ejpam-2596	404	8	)	)	PUNCT
ejpam-2596	404	9	on	on	ADP
ejpam-2596	404	10	the	the	DET
ejpam-2596	404	11	sequence	sequence	NOUN
ejpam-2596	404	12	space	space	NOUN
ejpam-2596	404	13	�	�	PROPN
ejpam-2596	404	14	m	m	PRON
ejpam-2596	404	15	,	,	PUNCT
ejpam-2596	405	1	[	[	X
ejpam-2596	405	2	f	f	X
ejpam-2596	405	3	]	]	X
ejpam-2596	405	4	,	,	PUNCT
ejpam-2596	405	5	p,‖	p,‖	PROPN
ejpam-2596	405	6	·	·	PUNCT
ejpam-2596	405	7	,	,	PUNCT
ejpam-2596	405	8	.	.	PUNCT
ejpam-2596	405	9	.	.	PUNCT
ejpam-2596	405	10	.	.	PUNCT
ejpam-2596	406	1	,	,	PUNCT
ejpam-2596	406	2	·	·	PUNCT
ejpam-2596	406	3	‖	‖	PROPN
ejpam-2596	406	4	�	�	PROPN
ejpam-2596	406	5	and	and	CCONJ
ejpam-2596	406	6	shown	show	VERB
ejpam-2596	406	7	that	that	SCONJ
ejpam-2596	406	8	the	the	DET
ejpam-2596	406	9	sequence	sequence	NOUN
ejpam-2596	406	10	space	space	NOUN
ejpam-2596	406	11	�	�	PROPN
ejpam-2596	406	12	m	m	PRON
ejpam-2596	406	13	,	,	PUNCT
ejpam-2596	406	14	[	[	X
ejpam-2596	406	15	f	f	X
ejpam-2596	406	16	]	]	X
ejpam-2596	406	17	,	,	PUNCT
ejpam-2596	406	18	p,‖	p,‖	PROPN
ejpam-2596	406	19	·	·	PUNCT
ejpam-2596	406	20	,	,	PUNCT
ejpam-2596	406	21	.	.	PUNCT
ejpam-2596	406	22	.	.	PUNCT
ejpam-2596	406	23	.	.	PUNCT
ejpam-2596	407	1	,	,	PUNCT
ejpam-2596	407	2	·	·	PUNCT
ejpam-2596	407	3	‖	‖	PROPN
ejpam-2596	407	4	�	�	PROPN
ejpam-2596	407	5	is	be	AUX
ejpam-2596	407	6	total	total	ADJ
ejpam-2596	407	7	paranormed	paranorme	VERB
ejpam-2596	407	8	space	space	NOUN
ejpam-2596	407	9	.	.	PUNCT
ejpam-2596	408	1	we	we	PRON
ejpam-2596	408	2	also	also	ADV
ejpam-2596	408	3	define	define	VERB
ejpam-2596	408	4	a	a	DET
ejpam-2596	408	5	new	new	ADJ
ejpam-2596	408	6	concept	concept	NOUN
ejpam-2596	408	7	of	of	ADP
ejpam-2596	408	8	statistical	statistical	ADJ
ejpam-2596	408	9	convergence	convergence	NOUN
ejpam-2596	408	10	which	which	PRON
ejpam-2596	408	11	will	will	AUX
ejpam-2596	408	12	be	be	AUX
ejpam-2596	408	13	called	call	VERB
ejpam-2596	408	14	g	g	NOUN
ejpam-2596	408	15	-	-	PUNCT
ejpam-2596	408	16	statistical	statistical	ADJ
ejpam-2596	408	17	convergence	convergence	NOUN
ejpam-2596	408	18	on	on	ADP
ejpam-2596	408	19	the	the	DET
ejpam-2596	408	20	paranormed	paranorme	VERB
ejpam-2596	408	21	space	space	NOUN
ejpam-2596	408	22	�	�	PROPN
ejpam-2596	408	23	�	�	PROPN
ejpam-2596	408	24	m	m	PROPN
ejpam-2596	408	25	,	,	PUNCT
ejpam-2596	409	1	[	[	X
ejpam-2596	409	2	f	f	X
ejpam-2596	409	3	]	]	X
ejpam-2596	409	4	,	,	PUNCT
ejpam-2596	409	5	p	p	X
ejpam-2596	409	6	,	,	PUNCT
ejpam-2596	409	7	|	|	ADV
ejpam-2596	409	8	·	·	PUNCT
ejpam-2596	409	9	,	,	PUNCT
ejpam-2596	409	10	.	.	PUNCT
ejpam-2596	409	11	.	.	PUNCT
ejpam-2596	410	1	.	.	PUNCT
ejpam-2596	411	1	,	,	PUNCT
ejpam-2596	411	2	·	·	PUNCT
ejpam-2596	411	3	‖	‖	PROPN
ejpam-2596	411	4	�	�	PROPN
ejpam-2596	411	5	,	,	PUNCT
ejpam-2596	411	6	g	g	PROPN
ejpam-2596	411	7	�	�	PROPN
ejpam-2596	411	8	.	.	PUNCT
ejpam-2596	412	1	theorem	theorem	VERB
ejpam-2596	412	2	3	3	NUM
ejpam-2596	412	3	.	.	PUNCT
ejpam-2596	413	1	the	the	DET
ejpam-2596	413	2	sequence	sequence	NOUN
ejpam-2596	413	3	space	space	NOUN
ejpam-2596	413	4	�	�	PROPN
ejpam-2596	413	5	m	m	PRON
ejpam-2596	413	6	,	,	PUNCT
ejpam-2596	413	7	[	[	X
ejpam-2596	413	8	f	f	X
ejpam-2596	413	9	]	]	X
ejpam-2596	413	10	,	,	PUNCT
ejpam-2596	413	11	p,‖	p,‖	PROPN
ejpam-2596	413	12	·	·	PUNCT
ejpam-2596	413	13	,	,	PUNCT
ejpam-2596	413	14	.	.	PUNCT
ejpam-2596	413	15	.	.	PUNCT
ejpam-2596	413	16	.	.	PUNCT
ejpam-2596	414	1	,	,	PUNCT
ejpam-2596	414	2	·	·	PUNCT
ejpam-2596	414	3	‖	‖	PROPN
ejpam-2596	414	4	�	�	PROPN
ejpam-2596	414	5	is	be	AUX
ejpam-2596	414	6	a	a	DET
ejpam-2596	414	7	linear	linear	ADJ
ejpam-2596	414	8	topological	topological	ADJ
ejpam-2596	414	9	space	space	NOUN
ejpam-2596	414	10	total	total	NOUN
ejpam-2596	414	11	parnormed	parnorme	VERB
ejpam-2596	414	12	by	by	ADP
ejpam-2596	414	13	g(x	g(x	PROPN
ejpam-2596	414	14	)	)	PUNCT
ejpam-2596	415	1	=	=	SYM
ejpam-2596	415	2	sup	sup	NOUN
ejpam-2596	415	3	n≥1	n≥1	NOUN
ejpam-2596	415	4	,	,	PUNCT
ejpam-2596	415	5	q≥1	q≥1	PROPN
ejpam-2596	415	6	0	0	NUM
ejpam-2596	415	7	6	6	NUM
ejpam-2596	415	8	=	=	NOUN
ejpam-2596	415	9	z1,	z1,	NOUN
ejpam-2596	415	10	...	...	PUNCT
ejpam-2596	415	11	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	415	12	�	�	PROPN
ejpam-2596	415	13	1	1	NUM
ejpam-2596	415	14	n	n	NUM
ejpam-2596	415	15	q+n−1	q+n−1	PROPN
ejpam-2596	415	16	∑	∑	PUNCT
ejpam-2596	415	17	j	j	X
ejpam-2596	415	18	=	=	PROPN
ejpam-2596	415	19	q	q	NOUN
ejpam-2596	415	20	∞	∞	NUM
ejpam-2596	415	21	∑	∑	PUNCT
ejpam-2596	415	22	k=1	k=1	PROPN
ejpam-2596	415	23	�	�	PROPN
ejpam-2596	415	24	mk	mk	PROPN
ejpam-2596	415	25	�	�	PROPN
ejpam-2596	415	26	x	x	PROPN
ejpam-2596	415	27	j	j	PROPN
ejpam-2596	415	28	ρ	ρ	PROPN
ejpam-2596	415	29	,	,	PUNCT
ejpam-2596	415	30	z1	z1	PROPN
ejpam-2596	415	31	,	,	PUNCT
ejpam-2596	415	32	.	.	PUNCT
ejpam-2596	415	33	.	.	PUNCT
ejpam-2596	415	34	.	.	PUNCT
ejpam-2596	416	1	,	,	PUNCT
ejpam-2596	416	2	zn−1	zn−1	PROPN
ejpam-2596	416	3	�	�	PROPN
ejpam-2596	416	4	�	�	PROPN
ejpam-2596	416	5	pk	pk	NOUN
ejpam-2596	416	6	�	�	PROPN
ejpam-2596	416	7	=	=	PUNCT
ejpam-2596	416	8	sup	sup	NOUN
ejpam-2596	416	9	n≥1	n≥1	NOUN
ejpam-2596	416	10	,	,	PUNCT
ejpam-2596	416	11	q≥1	q≥1	PROPN
ejpam-2596	416	12	06	06	NUM
ejpam-2596	416	13	=	=	SYM
ejpam-2596	416	14	z1,	z1,	NOUN
ejpam-2596	416	15	...	...	PUNCT
ejpam-2596	416	16	,zn−1∈x	,zn−1∈x	X
ejpam-2596	416	17	∞	∞	PROPN
ejpam-2596	416	18	∑	∑	PUNCT
ejpam-2596	417	1	k=1	k=1	PROPN
ejpam-2596	417	2	mk	mk	PROPN
ejpam-2596	417	3	�	�	PROPN
ejpam-2596	417	4	�	�	PROPN
ejpam-2596	417	5	tnq	tnq	NOUN
ejpam-2596	417	6	�	�	PROPN
ejpam-2596	417	7	x	x	SYM
ejpam-2596	417	8	j	j	PROPN
ejpam-2596	417	9	ρ	ρ	PROPN
ejpam-2596	417	10	,	,	PUNCT
ejpam-2596	417	11	z1	z1	PROPN
ejpam-2596	417	12	,	,	PUNCT
ejpam-2596	417	13	.	.	PUNCT
ejpam-2596	417	14	.	.	PUNCT
ejpam-2596	417	15	.	.	PUNCT
ejpam-2596	418	1	,	,	PUNCT
ejpam-2596	418	2	zn−1	zn−1	PROPN
ejpam-2596	418	3	�	�	PROPN
ejpam-2596	418	4	�	�	PROPN
ejpam-2596	418	5	�	�	PROPN
ejpam-2596	418	6	pk	pk	PROPN
ejpam-2596	418	7	.	.	PUNCT
ejpam-2596	419	1	k.	k.	PROPN
ejpam-2596	419	2	raj	raj	PROPN
ejpam-2596	419	3	,	,	PUNCT
ejpam-2596	419	4	r.	r.	PROPN
ejpam-2596	419	5	anand	anand	PROPN
ejpam-2596	419	6	,	,	PUNCT
ejpam-2596	419	7	s.	s.	PROPN
ejpam-2596	419	8	jamwal	jamwal	PROPN
ejpam-2596	419	9	/	/	SYM
ejpam-2596	419	10	eur	eur	PROPN
ejpam-2596	419	11	.	.	PUNCT
ejpam-2596	420	1	j.	j.	PROPN
ejpam-2596	420	2	pure	pure	PROPN
ejpam-2596	420	3	appl	appl	PROPN
ejpam-2596	420	4	.	.	PROPN
ejpam-2596	420	5	math	math	PROPN
ejpam-2596	420	6	,	,	PUNCT
ejpam-2596	420	7	9	9	NUM
ejpam-2596	420	8	(	(	PUNCT
ejpam-2596	420	9	2016	2016	NUM
ejpam-2596	420	10	)	)	PUNCT
ejpam-2596	420	11	,	,	PUNCT
ejpam-2596	420	12	464	464	NUM
ejpam-2596	420	13	-	-	SYM
ejpam-2596	420	14	478	478	NUM
ejpam-2596	420	15	473	473	NUM
ejpam-2596	420	16	proof	proof	NOUN
ejpam-2596	420	17	.	.	PUNCT
ejpam-2596	421	1	it	it	PRON
ejpam-2596	421	2	is	be	AUX
ejpam-2596	421	3	easy	easy	ADJ
ejpam-2596	421	4	to	to	PART
ejpam-2596	421	5	see	see	VERB
ejpam-2596	421	6	that	that	DET
ejpam-2596	421	7	�	�	PROPN
ejpam-2596	421	8	m	m	PROPN
ejpam-2596	421	9	,	,	PUNCT
ejpam-2596	422	1	[	[	X
ejpam-2596	422	2	f	f	X
ejpam-2596	422	3	]	]	X
ejpam-2596	422	4	,	,	PUNCT
ejpam-2596	422	5	p,‖	p,‖	PROPN
ejpam-2596	422	6	·	·	PUNCT
ejpam-2596	422	7	,	,	PUNCT
ejpam-2596	422	8	.	.	PUNCT
ejpam-2596	422	9	.	.	PUNCT
ejpam-2596	422	10	.	.	PUNCT
ejpam-2596	423	1	,	,	PUNCT
ejpam-2596	423	2	·	·	PUNCT
ejpam-2596	423	3	‖	‖	PROPN
ejpam-2596	423	4	�	�	PROPN
ejpam-2596	423	5	is	be	AUX
ejpam-2596	423	6	a	a	DET
ejpam-2596	423	7	linear	linear	ADJ
ejpam-2596	423	8	space	space	NOUN
ejpam-2596	423	9	with	with	ADP
ejpam-2596	423	10	coordinate	coordinate	NOUN
ejpam-2596	423	11	-	-	PUNCT
ejpam-2596	423	12	wise	wise	ADJ
ejpam-2596	423	13	addition	addition	NOUN
ejpam-2596	423	14	and	and	CCONJ
ejpam-2596	423	15	scalar	scalar	ADJ
ejpam-2596	423	16	multiplication	multiplication	NOUN
ejpam-2596	423	17	.	.	PUNCT
ejpam-2596	424	1	clearly	clearly	ADV
ejpam-2596	424	2	g(x	g(x	NUM
ejpam-2596	424	3	)	)	PUNCT
ejpam-2596	425	1	=	=	SYM
ejpam-2596	425	2	0⇔	0⇔	NOUN
ejpam-2596	425	3	x	x	PUNCT
ejpam-2596	425	4	=	=	SYM
ejpam-2596	425	5	0	0	NUM
ejpam-2596	425	6	,	,	PUNCT
ejpam-2596	425	7	g(x	g(x	NOUN
ejpam-2596	425	8	)	)	PUNCT
ejpam-2596	425	9	=	=	SYM
ejpam-2596	425	10	g(−x	g(−x	NOUN
ejpam-2596	425	11	)	)	PUNCT
ejpam-2596	425	12	and	and	CCONJ
ejpam-2596	425	13	g	g	PROPN
ejpam-2596	425	14	is	be	AUX
ejpam-2596	425	15	subadditive	subadditive	ADJ
ejpam-2596	425	16	.	.	PUNCT
ejpam-2596	426	1	to	to	PART
ejpam-2596	426	2	prove	prove	VERB
ejpam-2596	426	3	the	the	DET
ejpam-2596	426	4	continuity	continuity	NOUN
ejpam-2596	426	5	of	of	ADP
ejpam-2596	426	6	scalar	scalar	ADJ
ejpam-2596	426	7	multiplication	multiplication	NOUN
ejpam-2596	426	8	,	,	PUNCT
ejpam-2596	426	9	assume	assume	VERB
ejpam-2596	426	10	that	that	SCONJ
ejpam-2596	426	11	(	(	PUNCT
ejpam-2596	426	12	x	x	X
ejpam-2596	426	13	(	(	PUNCT
ejpam-2596	426	14	k	k	NOUN
ejpam-2596	426	15	)	)	PUNCT
ejpam-2596	426	16	)	)	PUNCT
ejpam-2596	426	17	be	be	AUX
ejpam-2596	426	18	any	any	DET
ejpam-2596	426	19	sequence	sequence	NOUN
ejpam-2596	426	20	of	of	ADP
ejpam-2596	426	21	the	the	DET
ejpam-2596	426	22	points	point	NOUN
ejpam-2596	426	23	in	in	ADP
ejpam-2596	426	24	�	�	PROPN
ejpam-2596	426	25	m	m	PRON
ejpam-2596	426	26	,	,	PUNCT
ejpam-2596	427	1	[	[	X
ejpam-2596	427	2	f	f	X
ejpam-2596	427	3	]	]	X
ejpam-2596	427	4	,	,	PUNCT
ejpam-2596	427	5	p,‖	p,‖	PROPN
ejpam-2596	427	6	·	·	PUNCT
ejpam-2596	427	7	,	,	PUNCT
ejpam-2596	427	8	.	.	PUNCT
ejpam-2596	427	9	.	.	PUNCT
ejpam-2596	427	10	.	.	PUNCT
ejpam-2596	428	1	,	,	PUNCT
ejpam-2596	428	2	·	·	PUNCT
ejpam-2596	428	3	‖	‖	PROPN
ejpam-2596	428	4	�	�	PROPN
ejpam-2596	428	5	such	such	ADJ
ejpam-2596	428	6	that	that	DET
ejpam-2596	428	7	g(x	g(x	PROPN
ejpam-2596	428	8	(	(	PUNCT
ejpam-2596	428	9	k	k	NOUN
ejpam-2596	428	10	)	)	PUNCT
ejpam-2596	428	11	−	−	PROPN
ejpam-2596	429	1	x	x	SYM
ejpam-2596	429	2	)	)	PUNCT
ejpam-2596	429	3	→	→	SYM
ejpam-2596	429	4	0	0	PUNCT
ejpam-2596	429	5	as	as	SCONJ
ejpam-2596	429	6	k	k	PROPN
ejpam-2596	429	7	→∞	→∞	PROPN
ejpam-2596	429	8	and	and	CCONJ
ejpam-2596	429	9	(	(	PUNCT
ejpam-2596	429	10	µk	µk	NOUN
ejpam-2596	429	11	)	)	PUNCT
ejpam-2596	429	12	be	be	VERB
ejpam-2596	429	13	any	any	DET
ejpam-2596	429	14	sequence	sequence	NOUN
ejpam-2596	429	15	of	of	ADP
ejpam-2596	429	16	scalars	scalar	NOUN
ejpam-2596	429	17	such	such	ADJ
ejpam-2596	429	18	that	that	SCONJ
ejpam-2596	429	19	µk→	µk→	ADV
ejpam-2596	429	20	µ	µ	X
ejpam-2596	429	21	as	as	ADP
ejpam-2596	429	22	k→∞.	k→∞.	NOUN
ejpam-2596	429	23	since	since	SCONJ
ejpam-2596	429	24	the	the	DET
ejpam-2596	429	25	inequality	inequality	NOUN
ejpam-2596	429	26	g(x	g(x	PROPN
ejpam-2596	429	27	(	(	PUNCT
ejpam-2596	429	28	k))≤	k))≤	PROPN
ejpam-2596	429	29	g(x	g(x	PROPN
ejpam-2596	429	30	)	)	PUNCT
ejpam-2596	430	1	+	+	CCONJ
ejpam-2596	430	2	g(x	g(x	X
ejpam-2596	430	3	(	(	PUNCT
ejpam-2596	430	4	k	k	NOUN
ejpam-2596	430	5	)	)	PUNCT
ejpam-2596	430	6	−	−	NUM
ejpam-2596	430	7	x	x	X
ejpam-2596	430	8	)	)	PUNCT
ejpam-2596	430	9	holds	hold	VERB
ejpam-2596	430	10	by	by	ADP
ejpam-2596	430	11	subadditivity	subadditivity	NOUN
ejpam-2596	430	12	of	of	ADP
ejpam-2596	430	13	g	g	NOUN
ejpam-2596	430	14	,	,	PUNCT
ejpam-2596	430	15	g(x	g(x	PROPN
ejpam-2596	430	16	(	(	PUNCT
ejpam-2596	430	17	k	k	NOUN
ejpam-2596	430	18	)	)	PUNCT
ejpam-2596	430	19	)	)	PUNCT
ejpam-2596	430	20	is	be	AUX
ejpam-2596	430	21	bounded	bound	VERB
ejpam-2596	430	22	.	.	PUNCT
ejpam-2596	431	1	thus	thus	ADV
ejpam-2596	431	2	,	,	PUNCT
ejpam-2596	431	3	we	we	PRON
ejpam-2596	431	4	have	have	VERB
ejpam-2596	431	5	g(µk	g(µk	NOUN
ejpam-2596	431	6	x	x	SYM
ejpam-2596	431	7	(	(	PUNCT
ejpam-2596	431	8	k	k	NOUN
ejpam-2596	431	9	)	)	PUNCT
ejpam-2596	431	10	−µx	−µx	ADV
ejpam-2596	431	11	)	)	PUNCT
ejpam-2596	431	12	=	=	SYM
ejpam-2596	431	13	sup	sup	NOUN
ejpam-2596	431	14	n≥1	n≥1	NOUN
ejpam-2596	431	15	,	,	PUNCT
ejpam-2596	431	16	q≥1	q≥1	PROPN
ejpam-2596	431	17	06	06	NUM
ejpam-2596	432	1	=	=	SYM
ejpam-2596	432	2	z1,	z1,	NOUN
ejpam-2596	432	3	...	...	PUNCT
ejpam-2596	432	4	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	432	5	�	�	PROPN
ejpam-2596	432	6	1	1	NUM
ejpam-2596	432	7	n	n	NUM
ejpam-2596	432	8	q+n−1	q+n−1	PROPN
ejpam-2596	432	9	∑	∑	PUNCT
ejpam-2596	432	10	j	j	X
ejpam-2596	432	11	=	=	PROPN
ejpam-2596	432	12	q	q	NOUN
ejpam-2596	432	13	∞	∞	NUM
ejpam-2596	432	14	∑	∑	PUNCT
ejpam-2596	432	15	k=1	k=1	PROPN
ejpam-2596	432	16	�	�	PROPN
ejpam-2596	432	17	mk	mk	PROPN
ejpam-2596	432	18	�	�	PROPN
ejpam-2596	432	19	µk	µk	PROPN
ejpam-2596	432	20	x	x	X
ejpam-2596	432	21	(	(	PUNCT
ejpam-2596	432	22	k)j	k)j	X
ejpam-2596	432	23	−µx	−µx	PROPN
ejpam-2596	432	24	j	j	PROPN
ejpam-2596	432	25	ρ	ρ	PROPN
ejpam-2596	432	26	,	,	PUNCT
ejpam-2596	432	27	z1	z1	PROPN
ejpam-2596	432	28	,	,	PUNCT
ejpam-2596	432	29	.	.	PUNCT
ejpam-2596	432	30	.	.	PUNCT
ejpam-2596	432	31	.	.	PUNCT
ejpam-2596	433	1	,	,	PUNCT
ejpam-2596	433	2	zn−1	zn−1	PROPN
ejpam-2596	433	3	�	�	PROPN
ejpam-2596	433	4	�	�	PROPN
ejpam-2596	433	5	pk	pk	NOUN
ejpam-2596	433	6	�	�	PROPN
ejpam-2596	433	7	≤|µk	≤|µk	PROPN
ejpam-2596	433	8	−µ|	−µ|	ADJ
ejpam-2596	433	9	sup	sup	NOUN
ejpam-2596	433	10	n≥1	n≥1	NOUN
ejpam-2596	433	11	,	,	PUNCT
ejpam-2596	433	12	q≥1	q≥1	PROPN
ejpam-2596	433	13	0	0	NUM
ejpam-2596	433	14	6	6	NUM
ejpam-2596	433	15	=	=	NOUN
ejpam-2596	433	16	z1,	z1,	NOUN
ejpam-2596	433	17	...	...	PUNCT
ejpam-2596	433	18	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	433	19	�	�	PROPN
ejpam-2596	433	20	1	1	NUM
ejpam-2596	433	21	n	n	NUM
ejpam-2596	433	22	q+n−1	q+n−1	PROPN
ejpam-2596	433	23	∑	∑	PUNCT
ejpam-2596	433	24	j	j	X
ejpam-2596	433	25	=	=	PROPN
ejpam-2596	433	26	q	q	NOUN
ejpam-2596	433	27	∞	∞	NUM
ejpam-2596	433	28	∑	∑	PUNCT
ejpam-2596	433	29	k=1	k=1	PROPN
ejpam-2596	433	30	�	�	PROPN
ejpam-2596	433	31	mk	mk	PROPN
ejpam-2596	433	32	�	�	PROPN
ejpam-2596	433	33	x	x	SYM
ejpam-2596	433	34	(	(	PUNCT
ejpam-2596	433	35	k)j	k)j	X
ejpam-2596	433	36	ρ	ρ	PROPN
ejpam-2596	433	37	,	,	PUNCT
ejpam-2596	433	38	z1	z1	PROPN
ejpam-2596	433	39	,	,	PUNCT
ejpam-2596	433	40	.	.	PUNCT
ejpam-2596	433	41	.	.	PUNCT
ejpam-2596	434	1	.	.	PUNCT
ejpam-2596	435	1	,	,	PUNCT
ejpam-2596	435	2	zn−1	zn−1	PROPN
ejpam-2596	435	3	�	�	PROPN
ejpam-2596	435	4	�	�	PROPN
ejpam-2596	435	5	pk	pk	NOUN
ejpam-2596	435	6	�	�	PROPN
ejpam-2596	435	7	+	+	CCONJ
ejpam-2596	435	8	|µ|	|µ|	PROPN
ejpam-2596	435	9	sup	sup	NOUN
ejpam-2596	435	10	n≥1	n≥1	NOUN
ejpam-2596	435	11	,	,	PUNCT
ejpam-2596	435	12	q≥1	q≥1	PROPN
ejpam-2596	435	13	06	06	NUM
ejpam-2596	436	1	=	=	SYM
ejpam-2596	436	2	z1,	z1,	NOUN
ejpam-2596	436	3	...	...	PUNCT
ejpam-2596	436	4	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	436	5	�	�	PROPN
ejpam-2596	436	6	1	1	NUM
ejpam-2596	436	7	n	n	NUM
ejpam-2596	436	8	q+n−1	q+n−1	PROPN
ejpam-2596	436	9	∑	∑	PUNCT
ejpam-2596	436	10	j	j	X
ejpam-2596	436	11	=	=	PROPN
ejpam-2596	436	12	q	q	NOUN
ejpam-2596	436	13	∞	∞	NUM
ejpam-2596	436	14	∑	∑	PUNCT
ejpam-2596	436	15	k=1	k=1	PROPN
ejpam-2596	436	16	�	�	PROPN
ejpam-2596	436	17	mk	mk	PROPN
ejpam-2596	436	18	�	�	PROPN
ejpam-2596	436	19	x	x	SYM
ejpam-2596	436	20	(	(	PUNCT
ejpam-2596	436	21	k)j	k)j	X
ejpam-2596	436	22	−	−	NOUN
ejpam-2596	436	23	x	x	SYM
ejpam-2596	436	24	j	j	PROPN
ejpam-2596	436	25	ρ	ρ	PROPN
ejpam-2596	436	26	,	,	PUNCT
ejpam-2596	436	27	z1	z1	PROPN
ejpam-2596	436	28	,	,	PUNCT
ejpam-2596	436	29	.	.	PUNCT
ejpam-2596	436	30	.	.	PUNCT
ejpam-2596	437	1	.	.	PUNCT
ejpam-2596	438	1	,	,	PUNCT
ejpam-2596	438	2	zn−1	zn−1	PROPN
ejpam-2596	438	3	�	�	PROPN
ejpam-2596	438	4	�	�	PROPN
ejpam-2596	438	5	pk	pk	NOUN
ejpam-2596	438	6	�	�	NOUN
ejpam-2596	438	7	=	=	NOUN
ejpam-2596	438	8	|µk	|µk	X
ejpam-2596	438	9	−µ|g(x	−µ|g(x	X
ejpam-2596	438	10	(	(	PUNCT
ejpam-2596	438	11	k	k	NOUN
ejpam-2596	438	12	)	)	PUNCT
ejpam-2596	438	13	)	)	PUNCT
ejpam-2596	439	1	+	+	CCONJ
ejpam-2596	439	2	|µ|g(x	|µ|g(x	PROPN
ejpam-2596	439	3	(	(	PUNCT
ejpam-2596	439	4	k	k	NOUN
ejpam-2596	439	5	)	)	PUNCT
ejpam-2596	439	6	−	−	PROPN
ejpam-2596	439	7	x	x	SYM
ejpam-2596	439	8	)	)	PUNCT
ejpam-2596	439	9	,	,	PUNCT
ejpam-2596	439	10	which	which	PRON
ejpam-2596	439	11	tends	tend	VERB
ejpam-2596	439	12	to	to	ADP
ejpam-2596	439	13	zero	zero	NUM
ejpam-2596	439	14	as	as	SCONJ
ejpam-2596	439	15	k→∞.	k→∞.	PROPN
ejpam-2596	439	16	this	this	PRON
ejpam-2596	439	17	proves	prove	VERB
ejpam-2596	439	18	the	the	DET
ejpam-2596	439	19	fact	fact	NOUN
ejpam-2596	439	20	that	that	SCONJ
ejpam-2596	439	21	g	g	PROPN
ejpam-2596	439	22	is	be	AUX
ejpam-2596	439	23	a	a	DET
ejpam-2596	439	24	paranorm	paranorm	NOUN
ejpam-2596	439	25	on	on	ADP
ejpam-2596	439	26	�	�	PROPN
ejpam-2596	439	27	m	m	PROPN
ejpam-2596	439	28	,	,	PUNCT
ejpam-2596	440	1	[	[	X
ejpam-2596	440	2	f	f	X
ejpam-2596	440	3	]	]	X
ejpam-2596	440	4	,	,	PUNCT
ejpam-2596	440	5	p,‖	p,‖	PROPN
ejpam-2596	440	6	·	·	PUNCT
ejpam-2596	440	7	,	,	PUNCT
ejpam-2596	440	8	.	.	PUNCT
ejpam-2596	440	9	.	.	PUNCT
ejpam-2596	440	10	.	.	PUNCT
ejpam-2596	441	1	,	,	PUNCT
ejpam-2596	441	2	·	·	PUNCT
ejpam-2596	441	3	‖	‖	PROPN
ejpam-2596	441	4	�	�	PROPN
ejpam-2596	441	5	.	.	PUNCT
ejpam-2596	442	1	definition	definition	NOUN
ejpam-2596	442	2	8	8	NUM
ejpam-2596	442	3	.	.	PUNCT
ejpam-2596	443	1	a	a	DET
ejpam-2596	443	2	sequence	sequence	NOUN
ejpam-2596	443	3	x	x	NOUN
ejpam-2596	443	4	=	=	SYM
ejpam-2596	443	5	(	(	PUNCT
ejpam-2596	443	6	x	x	SYM
ejpam-2596	443	7	j	j	NOUN
ejpam-2596	443	8	)	)	PUNCT
ejpam-2596	443	9	is	be	AUX
ejpam-2596	443	10	said	say	VERB
ejpam-2596	443	11	to	to	PART
ejpam-2596	443	12	be	be	AUX
ejpam-2596	443	13	strongly	strongly	ADV
ejpam-2596	443	14	p−cesaro	p−cesaro	X
ejpam-2596	443	15	summable	summable	ADJ
ejpam-2596	443	16	(	(	PUNCT
ejpam-2596	443	17	0	0	NUM
ejpam-2596	443	18	<	<	X
ejpam-2596	443	19	p	p	X
ejpam-2596	443	20	<	<	X
ejpam-2596	443	21	∞	∞	NOUN
ejpam-2596	443	22	)	)	PUNCT
ejpam-2596	443	23	to	to	ADP
ejpam-2596	443	24	a	a	DET
ejpam-2596	443	25	limit	limit	NOUN
ejpam-2596	443	26	λ	λ	X
ejpam-2596	443	27	in	in	ADP
ejpam-2596	443	28	�	�	PROPN
ejpam-2596	443	29	�	�	PROPN
ejpam-2596	443	30	(	(	PUNCT
ejpam-2596	443	31	m	m	PROPN
ejpam-2596	443	32	,	,	PUNCT
ejpam-2596	444	1	[	[	X
ejpam-2596	444	2	f	f	X
ejpam-2596	444	3	]	]	X
ejpam-2596	444	4	,	,	PUNCT
ejpam-2596	444	5	p,‖	p,‖	PROPN
ejpam-2596	444	6	·	·	PUNCT
ejpam-2596	444	7	,	,	PUNCT
ejpam-2596	444	8	.	.	PUNCT
ejpam-2596	444	9	.	.	PUNCT
ejpam-2596	444	10	.	.	PUNCT
ejpam-2596	445	1	,	,	PUNCT
ejpam-2596	445	2	·	·	PUNCT
ejpam-2596	445	3	‖	‖	PROPN
ejpam-2596	445	4	�	�	PROPN
ejpam-2596	445	5	,	,	PUNCT
ejpam-2596	445	6	g	g	PROPN
ejpam-2596	445	7	�	�	PROPN
ejpam-2596	445	8	if	if	SCONJ
ejpam-2596	445	9	limk→∞	limk→∞	PROPN
ejpam-2596	446	1	1	1	NUM
ejpam-2596	446	2	k	k	NOUN
ejpam-2596	446	3	∑k	∑k	PROPN
ejpam-2596	446	4	j=1(g(x	j=1(g(x	ADJ
ejpam-2596	447	1	j	j	NOUN
ejpam-2596	448	1	−	−	X
ejpam-2596	448	2	λe))p	λe))p	PROPN
ejpam-2596	448	3	=	=	SYM
ejpam-2596	448	4	0	0	PROPN
ejpam-2596	449	1	and	and	CCONJ
ejpam-2596	449	2	we	we	PRON
ejpam-2596	449	3	write	write	VERB
ejpam-2596	449	4	it	it	PRON
ejpam-2596	449	5	as	as	ADP
ejpam-2596	449	6	x	x	PROPN
ejpam-2596	449	7	j	j	PROPN
ejpam-2596	449	8	→	→	SYM
ejpam-2596	449	9	λ[c	λ[c	X
ejpam-2596	449	10	,	,	PUNCT
ejpam-2596	449	11	g]p	g]p	PROPN
ejpam-2596	449	12	.	.	PUNCT
ejpam-2596	450	1	in	in	ADP
ejpam-2596	450	2	this	this	DET
ejpam-2596	450	3	case	case	NOUN
ejpam-2596	450	4	λ	λ	NOUN
ejpam-2596	450	5	is	be	AUX
ejpam-2596	450	6	called	call	VERB
ejpam-2596	450	7	the	the	DET
ejpam-2596	450	8	[	[	X
ejpam-2596	450	9	c	c	X
ejpam-2596	450	10	,	,	PUNCT
ejpam-2596	450	11	g]p	g]p	ADJ
ejpam-2596	450	12	-	-	PUNCT
ejpam-2596	450	13	limit	limit	NOUN
ejpam-2596	450	14	of	of	ADP
ejpam-2596	450	15	x.	x.	NOUN
ejpam-2596	450	16	we	we	PRON
ejpam-2596	450	17	denote	denote	VERB
ejpam-2596	450	18	the	the	DET
ejpam-2596	450	19	set	set	NOUN
ejpam-2596	450	20	of	of	ADP
ejpam-2596	450	21	all	all	DET
ejpam-2596	450	22	strongly	strongly	ADV
ejpam-2596	450	23	p	p	NOUN
ejpam-2596	450	24	-	-	PUNCT
ejpam-2596	450	25	cesaro	cesaro	ADJ
ejpam-2596	450	26	summable	summable	ADJ
ejpam-2596	450	27	sequences	sequence	NOUN
ejpam-2596	450	28	in	in	ADP
ejpam-2596	450	29	(	(	PUNCT
ejpam-2596	450	30	�	�	PROPN
ejpam-2596	450	31	m	m	PROPN
ejpam-2596	450	32	,	,	PUNCT
ejpam-2596	451	1	[	[	X
ejpam-2596	451	2	f	f	X
ejpam-2596	451	3	]	]	X
ejpam-2596	451	4	,	,	PUNCT
ejpam-2596	451	5	p,‖	p,‖	PROPN
ejpam-2596	451	6	·	·	PUNCT
ejpam-2596	451	7	,	,	PUNCT
ejpam-2596	451	8	.	.	PUNCT
ejpam-2596	451	9	.	.	PUNCT
ejpam-2596	451	10	.	.	PUNCT
ejpam-2596	452	1	,	,	PUNCT
ejpam-2596	452	2	·	·	PUNCT
ejpam-2596	452	3	‖	‖	PROPN
ejpam-2596	452	4	�	�	PROPN
ejpam-2596	452	5	,	,	PUNCT
ejpam-2596	452	6	g	g	NOUN
ejpam-2596	452	7	)	)	PUNCT
ejpam-2596	452	8	as	as	ADP
ejpam-2596	452	9	[	[	X
ejpam-2596	452	10	c	c	X
ejpam-2596	452	11	,	,	PUNCT
ejpam-2596	452	12	g]p	g]p	NOUN
ejpam-2596	452	13	=	=	PUNCT
ejpam-2596	452	14	{	{	PUNCT
ejpam-2596	453	1	x	x	X
ejpam-2596	453	2	:	:	PUNCT
ejpam-2596	453	3	lim	lim	PROPN
ejpam-2596	453	4	k→∞	k→∞	NOUN
ejpam-2596	453	5	1	1	NUM
ejpam-2596	453	6	k	k	X
ejpam-2596	453	7	k	k	NOUN
ejpam-2596	453	8	∑	∑	PUNCT
ejpam-2596	453	9	j=1	j=1	PROPN
ejpam-2596	453	10	(	(	PUNCT
ejpam-2596	453	11	g(x	g(x	NOUN
ejpam-2596	453	12	j	j	NOUN
ejpam-2596	453	13	−λe))p	−λe))p	NOUN
ejpam-2596	453	14	=	=	PUNCT
ejpam-2596	453	15	0	0	NUM
ejpam-2596	453	16	}	}	PUNCT
ejpam-2596	453	17	.	.	PUNCT
ejpam-2596	454	1	definition	definition	NOUN
ejpam-2596	454	2	9	9	NUM
ejpam-2596	454	3	.	.	PUNCT
ejpam-2596	455	1	a	a	DET
ejpam-2596	455	2	sequence	sequence	NOUN
ejpam-2596	455	3	x	x	NOUN
ejpam-2596	455	4	=	=	SYM
ejpam-2596	455	5	(	(	PUNCT
ejpam-2596	455	6	x	x	SYM
ejpam-2596	455	7	j	j	NOUN
ejpam-2596	455	8	)	)	PUNCT
ejpam-2596	455	9	is	be	AUX
ejpam-2596	455	10	said	say	VERB
ejpam-2596	455	11	to	to	PART
ejpam-2596	455	12	be	be	AUX
ejpam-2596	455	13	statistically	statistically	ADV
ejpam-2596	455	14	convergent	convergent	ADJ
ejpam-2596	455	15	(	(	PUNCT
ejpam-2596	455	16	or	or	CCONJ
ejpam-2596	455	17	g	g	ADV
ejpam-2596	455	18	-	-	PUNCT
ejpam-2596	455	19	statistically	statistically	ADV
ejpam-2596	455	20	convergent	convergent	NOUN
ejpam-2596	455	21	)	)	PUNCT
ejpam-2596	455	22	to	to	ADP
ejpam-2596	455	23	a	a	DET
ejpam-2596	455	24	number	number	NOUN
ejpam-2596	455	25	λ	λ	NOUN
ejpam-2596	455	26	in	in	ADP
ejpam-2596	455	27	�	�	PROPN
ejpam-2596	455	28	�	�	PROPN
ejpam-2596	455	29	m	m	PRON
ejpam-2596	455	30	,	,	PUNCT
ejpam-2596	456	1	[	[	X
ejpam-2596	456	2	f	f	X
ejpam-2596	456	3	]	]	X
ejpam-2596	456	4	,	,	PUNCT
ejpam-2596	456	5	p,‖	p,‖	PROPN
ejpam-2596	456	6	·	·	PUNCT
ejpam-2596	456	7	,	,	PUNCT
ejpam-2596	456	8	.	.	PUNCT
ejpam-2596	456	9	.	.	PUNCT
ejpam-2596	456	10	.	.	PUNCT
ejpam-2596	457	1	,	,	PUNCT
ejpam-2596	457	2	·	·	PUNCT
ejpam-2596	457	3	‖	‖	PROPN
ejpam-2596	457	4	�	�	PROPN
ejpam-2596	457	5	,	,	PUNCT
ejpam-2596	457	6	g	g	PROPN
ejpam-2596	457	7	�	�	PROPN
ejpam-2596	457	8	if	if	SCONJ
ejpam-2596	457	9	for	for	ADP
ejpam-2596	457	10	each	each	DET
ejpam-2596	457	11	ε	ε	PROPN
ejpam-2596	457	12	>	>	X
ejpam-2596	457	13	0	0	PUNCT
ejpam-2596	458	1	lim	lim	PROPN
ejpam-2596	458	2	k→∞	k→∞	NOUN
ejpam-2596	458	3	1	1	NUM
ejpam-2596	459	1	k	k	X
ejpam-2596	459	2	|	|	NOUN
ejpam-2596	459	3	{	{	PUNCT
ejpam-2596	459	4	j	j	PROPN
ejpam-2596	459	5	≤	≤	PROPN
ejpam-2596	460	1	k	k	NOUN
ejpam-2596	460	2	:	:	PUNCT
ejpam-2596	460	3	g(x	g(x	PROPN
ejpam-2596	460	4	j	j	PROPN
ejpam-2596	460	5	−λe)≥	−λe)≥	X
ejpam-2596	460	6	ε}|=	ε}|=	NOUN
ejpam-2596	460	7	0	0	NUM
ejpam-2596	460	8	where	where	SCONJ
ejpam-2596	460	9	g(x	g(x	PROPN
ejpam-2596	460	10	j	j	NOUN
ejpam-2596	460	11	−λe	−λe	NOUN
ejpam-2596	460	12	)	)	PUNCT
ejpam-2596	460	13	=	=	NOUN
ejpam-2596	460	14	sup	sup	NOUN
ejpam-2596	460	15	n≥1	n≥1	NOUN
ejpam-2596	460	16	,	,	PUNCT
ejpam-2596	460	17	q≥1	q≥1	PROPN
ejpam-2596	460	18	06	06	NUM
ejpam-2596	461	1	=	=	SYM
ejpam-2596	461	2	z1,	z1,	NOUN
ejpam-2596	461	3	...	...	PUNCT
ejpam-2596	461	4	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	461	5	�	�	PROPN
ejpam-2596	461	6	1	1	NUM
ejpam-2596	461	7	n	n	NUM
ejpam-2596	461	8	q+n−1	q+n−1	PROPN
ejpam-2596	461	9	∑	∑	PUNCT
ejpam-2596	461	10	j	j	X
ejpam-2596	461	11	=	=	PROPN
ejpam-2596	461	12	q	q	NOUN
ejpam-2596	461	13	∞	∞	NUM
ejpam-2596	461	14	∑	∑	PUNCT
ejpam-2596	461	15	k=1	k=1	PROPN
ejpam-2596	461	16	�	�	PROPN
ejpam-2596	461	17	mk	mk	PROPN
ejpam-2596	461	18	�	�	PROPN
ejpam-2596	461	19	x	x	PROPN
ejpam-2596	461	20	j	j	PROPN
ejpam-2596	461	21	−λe	−λe	PROPN
ejpam-2596	461	22	ρ	ρ	PROPN
ejpam-2596	461	23	,	,	PUNCT
ejpam-2596	461	24	z1	z1	PROPN
ejpam-2596	461	25	,	,	PUNCT
ejpam-2596	461	26	.	.	PUNCT
ejpam-2596	461	27	.	.	PUNCT
ejpam-2596	462	1	.	.	PUNCT
ejpam-2596	463	1	,	,	PUNCT
ejpam-2596	463	2	zn−1	zn−1	PROPN
ejpam-2596	463	3	�	�	PROPN
ejpam-2596	463	4	�	�	PROPN
ejpam-2596	463	5	pk	pk	NOUN
ejpam-2596	463	6	�	�	PROPN
ejpam-2596	463	7	.	.	PUNCT
ejpam-2596	464	1	in	in	ADP
ejpam-2596	464	2	this	this	DET
ejpam-2596	464	3	case	case	NOUN
ejpam-2596	464	4	we	we	PRON
ejpam-2596	464	5	write	write	VERB
ejpam-2596	464	6	g(stat	g(stat	NOUN
ejpam-2596	464	7	)	)	PUNCT
ejpam-2596	464	8	−	−	PROPN
ejpam-2596	464	9	lim	lim	NOUN
ejpam-2596	464	10	x	x	X
ejpam-2596	465	1	=	=	SYM
ejpam-2596	465	2	λ	λ	X
ejpam-2596	465	3	.	.	PUNCT
ejpam-2596	466	1	we	we	PRON
ejpam-2596	466	2	denote	denote	VERB
ejpam-2596	466	3	the	the	DET
ejpam-2596	466	4	set	set	NOUN
ejpam-2596	466	5	of	of	ADP
ejpam-2596	466	6	all	all	DET
ejpam-2596	466	7	g	g	NOUN
ejpam-2596	466	8	-	-	PUNCT
ejpam-2596	466	9	statistically	statistically	ADV
ejpam-2596	466	10	convergent	convergent	ADJ
ejpam-2596	466	11	sequences	sequence	NOUN
ejpam-2596	466	12	in	in	ADP
ejpam-2596	466	13	�	�	PROPN
ejpam-2596	466	14	�	�	PROPN
ejpam-2596	466	15	m	m	PRON
ejpam-2596	466	16	,	,	PUNCT
ejpam-2596	467	1	[	[	X
ejpam-2596	467	2	f	f	X
ejpam-2596	467	3	]	]	X
ejpam-2596	467	4	,	,	PUNCT
ejpam-2596	467	5	p,‖	p,‖	PROPN
ejpam-2596	467	6	·	·	PUNCT
ejpam-2596	467	7	,	,	PUNCT
ejpam-2596	467	8	.	.	PUNCT
ejpam-2596	467	9	.	.	PUNCT
ejpam-2596	467	10	.	.	PUNCT
ejpam-2596	468	1	,	,	PUNCT
ejpam-2596	468	2	·	·	PUNCT
ejpam-2596	468	3	‖	‖	PROPN
ejpam-2596	468	4	�	�	PROPN
ejpam-2596	468	5	,	,	PUNCT
ejpam-2596	468	6	g	g	PROPN
ejpam-2596	468	7	�	�	PROPN
ejpam-2596	468	8	by	by	ADP
ejpam-2596	468	9	s	s	PROPN
ejpam-2596	468	10	�	�	PROPN
ejpam-2596	468	11	�	�	PROPN
ejpam-2596	468	12	m	m	PRON
ejpam-2596	468	13	,	,	PUNCT
ejpam-2596	469	1	[	[	X
ejpam-2596	469	2	f]p,‖·,	f]p,‖·,	NOUN
ejpam-2596	469	3	...	...	PUNCT
ejpam-2596	469	4	,·‖	,·‖	PUNCT
ejpam-2596	469	5	�	�	PROPN
ejpam-2596	469	6	,	,	PUNCT
ejpam-2596	469	7	g	g	PROPN
ejpam-2596	469	8	�	�	PROPN
ejpam-2596	469	9	.	.	PUNCT
ejpam-2596	470	1	k.	k.	PROPN
ejpam-2596	470	2	raj	raj	PROPN
ejpam-2596	470	3	,	,	PUNCT
ejpam-2596	470	4	r.	r.	PROPN
ejpam-2596	470	5	anand	anand	PROPN
ejpam-2596	470	6	,	,	PUNCT
ejpam-2596	470	7	s.	s.	PROPN
ejpam-2596	470	8	jamwal	jamwal	PROPN
ejpam-2596	470	9	/	/	SYM
ejpam-2596	470	10	eur	eur	PROPN
ejpam-2596	470	11	.	.	PUNCT
ejpam-2596	471	1	j.	j.	PROPN
ejpam-2596	471	2	pure	pure	PROPN
ejpam-2596	471	3	appl	appl	PROPN
ejpam-2596	471	4	.	.	PROPN
ejpam-2596	471	5	math	math	PROPN
ejpam-2596	471	6	,	,	PUNCT
ejpam-2596	471	7	9	9	NUM
ejpam-2596	471	8	(	(	PUNCT
ejpam-2596	471	9	2016	2016	NUM
ejpam-2596	471	10	)	)	PUNCT
ejpam-2596	471	11	,	,	PUNCT
ejpam-2596	471	12	464	464	NUM
ejpam-2596	471	13	-	-	SYM
ejpam-2596	471	14	478	478	NUM
ejpam-2596	471	15	474	474	NUM
ejpam-2596	471	16	definition	definition	NOUN
ejpam-2596	471	17	10	10	NUM
ejpam-2596	471	18	.	.	PUNCT
ejpam-2596	472	1	a	a	DET
ejpam-2596	472	2	sequence	sequence	NOUN
ejpam-2596	472	3	x	x	NOUN
ejpam-2596	472	4	=	=	SYM
ejpam-2596	472	5	(	(	PUNCT
ejpam-2596	472	6	x	x	SYM
ejpam-2596	472	7	j	j	NOUN
ejpam-2596	472	8	)	)	PUNCT
ejpam-2596	472	9	is	be	AUX
ejpam-2596	472	10	said	say	VERB
ejpam-2596	472	11	to	to	PART
ejpam-2596	472	12	be	be	AUX
ejpam-2596	472	13	a	a	DET
ejpam-2596	472	14	statistically	statistically	ADV
ejpam-2596	472	15	cauchy	cauchy	ADJ
ejpam-2596	472	16	sequence	sequence	NOUN
ejpam-2596	472	17	in	in	ADP
ejpam-2596	472	18	�	�	PROPN
ejpam-2596	472	19	�	�	PROPN
ejpam-2596	472	20	m	m	PRON
ejpam-2596	472	21	,	,	PUNCT
ejpam-2596	473	1	[	[	X
ejpam-2596	473	2	f	f	X
ejpam-2596	473	3	]	]	X
ejpam-2596	473	4	,	,	PUNCT
ejpam-2596	473	5	p,‖	p,‖	PROPN
ejpam-2596	473	6	·	·	PUNCT
ejpam-2596	473	7	,	,	PUNCT
ejpam-2596	473	8	.	.	PUNCT
ejpam-2596	473	9	.	.	PUNCT
ejpam-2596	473	10	.	.	PUNCT
ejpam-2596	474	1	,	,	PUNCT
ejpam-2596	474	2	·	·	PUNCT
ejpam-2596	474	3	‖	‖	PROPN
ejpam-2596	474	4	�	�	PROPN
ejpam-2596	474	5	,	,	PUNCT
ejpam-2596	474	6	g	g	PROPN
ejpam-2596	474	7	�	�	PROPN
ejpam-2596	474	8	(	(	PUNCT
ejpam-2596	474	9	or	or	CCONJ
ejpam-2596	474	10	g(stat)−	g(stat)−	PROPN
ejpam-2596	474	11	cauchy	cauchy	PROPN
ejpam-2596	474	12	)	)	PUNCT
ejpam-2596	474	13	if	if	SCONJ
ejpam-2596	474	14	for	for	ADP
ejpam-2596	474	15	every	every	DET
ejpam-2596	474	16	ε	ε	PROPN
ejpam-2596	474	17	>	>	X
ejpam-2596	474	18	0	0	PUNCT
ejpam-2596	475	1	there	there	PRON
ejpam-2596	475	2	exists	exist	VERB
ejpam-2596	475	3	a	a	DET
ejpam-2596	475	4	number	number	NOUN
ejpam-2596	475	5	n	n	NOUN
ejpam-2596	475	6	=	=	SYM
ejpam-2596	475	7	n(ε	n(ε	NOUN
ejpam-2596	475	8	)	)	PUNCT
ejpam-2596	475	9	such	such	ADJ
ejpam-2596	475	10	that	that	SCONJ
ejpam-2596	475	11	lim	lim	PROPN
ejpam-2596	475	12	n→∞	n→∞	PRON
ejpam-2596	475	13	1	1	NUM
ejpam-2596	475	14	n	n	NOUN
ejpam-2596	475	15	|	|	NOUN
ejpam-2596	475	16	{	{	PUNCT
ejpam-2596	475	17	j	j	PROPN
ejpam-2596	475	18	≤	≤	PROPN
ejpam-2596	476	1	n	n	CCONJ
ejpam-2596	476	2	:	:	PUNCT
ejpam-2596	476	3	g(x	g(x	ADJ
ejpam-2596	476	4	j	j	NOUN
ejpam-2596	476	5	−	−	PROPN
ejpam-2596	476	6	xn	xn	PROPN
ejpam-2596	476	7	)	)	PUNCT
ejpam-2596	476	8	≥	≥	PROPN
ejpam-2596	476	9	ε}|=	ε}|=	NOUN
ejpam-2596	476	10	0	0	NUM
ejpam-2596	476	11	.	.	PUNCT
ejpam-2596	476	12	theorem	theorem	NOUN
ejpam-2596	476	13	4	4	NUM
ejpam-2596	476	14	.	.	PUNCT
ejpam-2596	477	1	if	if	SCONJ
ejpam-2596	477	2	a	a	DET
ejpam-2596	477	3	sequence	sequence	NOUN
ejpam-2596	477	4	x	x	NOUN
ejpam-2596	477	5	=	=	SYM
ejpam-2596	477	6	(	(	PUNCT
ejpam-2596	477	7	x	x	SYM
ejpam-2596	477	8	j	j	NOUN
ejpam-2596	477	9	)	)	PUNCT
ejpam-2596	477	10	is	be	AUX
ejpam-2596	477	11	statistically	statistically	ADV
ejpam-2596	477	12	convergent	convergent	ADJ
ejpam-2596	477	13	in	in	ADP
ejpam-2596	477	14	�	�	PROPN
ejpam-2596	477	15	�	�	PROPN
ejpam-2596	477	16	m	m	PRON
ejpam-2596	477	17	,	,	PUNCT
ejpam-2596	478	1	[	[	X
ejpam-2596	478	2	f	f	X
ejpam-2596	478	3	]	]	X
ejpam-2596	478	4	,	,	PUNCT
ejpam-2596	478	5	p,‖	p,‖	PROPN
ejpam-2596	478	6	·	·	PUNCT
ejpam-2596	478	7	,	,	PUNCT
ejpam-2596	478	8	.	.	PUNCT
ejpam-2596	478	9	.	.	PUNCT
ejpam-2596	478	10	.	.	PUNCT
ejpam-2596	479	1	,	,	PUNCT
ejpam-2596	479	2	·	·	PUNCT
ejpam-2596	479	3	‖	‖	PROPN
ejpam-2596	479	4	�	�	PROPN
ejpam-2596	479	5	,	,	PUNCT
ejpam-2596	479	6	g	g	PROPN
ejpam-2596	479	7	�	�	PROPN
ejpam-2596	479	8	,	,	PUNCT
ejpam-2596	479	9	then	then	ADV
ejpam-2596	479	10	g(stat)−	g(stat)−	PROPN
ejpam-2596	479	11	lim	lim	PROPN
ejpam-2596	480	1	x	x	X
ejpam-2596	480	2	is	be	AUX
ejpam-2596	480	3	unique	unique	ADJ
ejpam-2596	480	4	.	.	PUNCT
ejpam-2596	481	1	proof	proof	NOUN
ejpam-2596	481	2	.	.	PUNCT
ejpam-2596	482	1	suppose	suppose	VERB
ejpam-2596	482	2	that	that	SCONJ
ejpam-2596	482	3	g(stat)−	g(stat)−	PROPN
ejpam-2596	482	4	lim	lim	PROPN
ejpam-2596	483	1	x	x	X
ejpam-2596	483	2	=	=	PUNCT
ejpam-2596	483	3	λ1	λ1	PROPN
ejpam-2596	483	4	and	and	CCONJ
ejpam-2596	483	5	g(stat)−	g(stat)−	PROPN
ejpam-2596	483	6	lim	lim	NOUN
ejpam-2596	484	1	x	x	X
ejpam-2596	484	2	=	=	SYM
ejpam-2596	484	3	λ2	λ2	PROPN
ejpam-2596	484	4	.	.	PUNCT
ejpam-2596	485	1	given	give	VERB
ejpam-2596	485	2	ε	ε	PROPN
ejpam-2596	485	3	>	>	X
ejpam-2596	485	4	0	0	PROPN
ejpam-2596	485	5	,	,	PUNCT
ejpam-2596	485	6	define	define	VERB
ejpam-2596	485	7	the	the	DET
ejpam-2596	485	8	following	following	NOUN
ejpam-2596	485	9	set	set	VERB
ejpam-2596	485	10	as	as	ADP
ejpam-2596	485	11	:	:	PUNCT
ejpam-2596	485	12	j1(ε	j1(ε	X
ejpam-2596	485	13	)	)	PUNCT
ejpam-2596	485	14	=	=	SYM
ejpam-2596	486	1	¦	¦	PROPN
ejpam-2596	486	2	j	j	PROPN
ejpam-2596	486	3	∈	∈	PROPN
ejpam-2596	486	4	n	n	CCONJ
ejpam-2596	486	5	:	:	PUNCT
ejpam-2596	486	6	g(x	g(x	ADJ
ejpam-2596	486	7	j	j	PROPN
ejpam-2596	486	8	−λ1)≥	−λ1)≥	PROPN
ejpam-2596	486	9	ε	ε	PROPN
ejpam-2596	486	10	2	2	NUM
ejpam-2596	486	11	©	©	PROPN
ejpam-2596	486	12	and	and	CCONJ
ejpam-2596	486	13	j2(ε	j2(ε	PROPN
ejpam-2596	486	14	)	)	PUNCT
ejpam-2596	486	15	=	=	PUNCT
ejpam-2596	486	16	¦	¦	PROPN
ejpam-2596	486	17	j	j	PROPN
ejpam-2596	486	18	∈	∈	PROPN
ejpam-2596	487	1	n	n	CCONJ
ejpam-2596	487	2	:	:	PUNCT
ejpam-2596	487	3	g(x	g(x	ADJ
ejpam-2596	487	4	j	j	PROPN
ejpam-2596	487	5	−λ2)≥	−λ2)≥	X
ejpam-2596	487	6	ε	ε	PROPN
ejpam-2596	487	7	2	2	NUM
ejpam-2596	487	8	©	©	NOUN
ejpam-2596	487	9	.	.	PUNCT
ejpam-2596	488	1	since	since	SCONJ
ejpam-2596	488	2	g(stat	g(stat	NOUN
ejpam-2596	488	3	)	)	PUNCT
ejpam-2596	488	4	−	−	PROPN
ejpam-2596	488	5	lim	lim	NOUN
ejpam-2596	488	6	x	x	PUNCT
ejpam-2596	488	7	=	=	SYM
ejpam-2596	488	8	λ1	λ1	PROPN
ejpam-2596	488	9	we	we	PRON
ejpam-2596	488	10	have	have	VERB
ejpam-2596	488	11	δ(j1(ε	δ(j1(ε	NOUN
ejpam-2596	488	12	)	)	PUNCT
ejpam-2596	488	13	)	)	PUNCT
ejpam-2596	488	14	=	=	PUNCT
ejpam-2596	488	15	0	0	X
ejpam-2596	488	16	.	.	PUNCT
ejpam-2596	488	17	similarly	similarly	ADV
ejpam-2596	488	18	g(stat	g(stat	NOUN
ejpam-2596	488	19	)	)	PUNCT
ejpam-2596	488	20	−	−	PROPN
ejpam-2596	488	21	lim	lim	NOUN
ejpam-2596	488	22	x	x	PUNCT
ejpam-2596	488	23	=	=	SYM
ejpam-2596	488	24	λ2	λ2	NOUN
ejpam-2596	488	25	we	we	PRON
ejpam-2596	488	26	have	have	VERB
ejpam-2596	488	27	δ(j2(ε	δ(j2(ε	NOUN
ejpam-2596	488	28	)	)	PUNCT
ejpam-2596	488	29	)	)	PUNCT
ejpam-2596	489	1	=	=	SYM
ejpam-2596	489	2	0	0	NUM
ejpam-2596	489	3	,	,	PUNCT
ejpam-2596	489	4	now	now	ADV
ejpam-2596	489	5	let	let	VERB
ejpam-2596	489	6	j(ε	j(ε	ADJ
ejpam-2596	489	7	)	)	PUNCT
ejpam-2596	489	8	=	=	SYM
ejpam-2596	489	9	j1(ε)∪	j1(ε)∪	PROPN
ejpam-2596	489	10	j2(ε	j2(ε	NOUN
ejpam-2596	489	11	)	)	PUNCT
ejpam-2596	489	12	.	.	PUNCT
ejpam-2596	490	1	then	then	ADV
ejpam-2596	490	2	δ(j(ε	δ(j(ε	ADJ
ejpam-2596	490	3	)	)	PUNCT
ejpam-2596	490	4	)	)	PUNCT
ejpam-2596	491	1	=	=	SYM
ejpam-2596	491	2	0	0	PUNCT
ejpam-2596	492	1	and	and	CCONJ
ejpam-2596	492	2	hence	hence	ADV
ejpam-2596	492	3	the	the	DET
ejpam-2596	492	4	compliment	compliment	NOUN
ejpam-2596	492	5	j	j	PROPN
ejpam-2596	492	6	c(ε	c(ε	PROPN
ejpam-2596	492	7	)	)	PUNCT
ejpam-2596	492	8	is	be	AUX
ejpam-2596	492	9	a	a	DET
ejpam-2596	492	10	non	non	ADJ
ejpam-2596	492	11	-	-	ADJ
ejpam-2596	492	12	empty	empty	ADJ
ejpam-2596	492	13	set	set	NOUN
ejpam-2596	492	14	and	and	CCONJ
ejpam-2596	492	15	δ(j	δ(j	PROPN
ejpam-2596	492	16	c(ε	c(ε	PROPN
ejpam-2596	492	17	)	)	PUNCT
ejpam-2596	492	18	)	)	PUNCT
ejpam-2596	493	1	=	=	PUNCT
ejpam-2596	493	2	1	1	X
ejpam-2596	493	3	.	.	PUNCT
ejpam-2596	494	1	now	now	ADV
ejpam-2596	494	2	if	if	SCONJ
ejpam-2596	494	3	j	j	PROPN
ejpam-2596	494	4	∈	∈	PROPN
ejpam-2596	494	5	n−	n−	NOUN
ejpam-2596	494	6	j(ε	j(ε	ADJ
ejpam-2596	494	7	)	)	PUNCT
ejpam-2596	494	8	,	,	PUNCT
ejpam-2596	494	9	then	then	ADV
ejpam-2596	494	10	we	we	PRON
ejpam-2596	494	11	have	have	VERB
ejpam-2596	494	12	g(λ1	g(λ1	NOUN
ejpam-2596	494	13	−λ2)≤	−λ2)≤	PROPN
ejpam-2596	494	14	g(x	g(x	PROPN
ejpam-2596	494	15	j	j	PROPN
ejpam-2596	494	16	−λ1	−λ1	PROPN
ejpam-2596	494	17	)	)	PUNCT
ejpam-2596	495	1	+	+	CCONJ
ejpam-2596	496	1	g(x	g(x	ADJ
ejpam-2596	496	2	j	j	PROPN
ejpam-2596	496	3	−λ2	−λ2	PROPN
ejpam-2596	496	4	)	)	PUNCT
ejpam-2596	496	5	<	<	X
ejpam-2596	496	6	ε	ε	PROPN
ejpam-2596	496	7	2	2	NUM
ejpam-2596	496	8	+	+	CCONJ
ejpam-2596	496	9	ε	ε	PROPN
ejpam-2596	496	10	2	2	NUM
ejpam-2596	496	11	=	=	SYM
ejpam-2596	496	12	ε	ε	PROPN
ejpam-2596	496	13	.	.	PUNCT
ejpam-2596	497	1	since	since	SCONJ
ejpam-2596	497	2	ε	ε	PROPN
ejpam-2596	497	3	>	>	X
ejpam-2596	497	4	0	0	NUM
ejpam-2596	497	5	was	be	AUX
ejpam-2596	497	6	arbitrary	arbitrary	ADJ
ejpam-2596	497	7	,	,	PUNCT
ejpam-2596	497	8	we	we	PRON
ejpam-2596	497	9	get	get	VERB
ejpam-2596	497	10	g(λ1	g(λ1	NOUN
ejpam-2596	497	11	−λ2	−λ2	NOUN
ejpam-2596	497	12	)	)	PUNCT
ejpam-2596	498	1	=	=	SYM
ejpam-2596	498	2	0	0	PUNCT
ejpam-2596	498	3	and	and	CCONJ
ejpam-2596	498	4	hence	hence	ADV
ejpam-2596	498	5	λ1	λ1	ADJ
ejpam-2596	498	6	=	=	SYM
ejpam-2596	498	7	λ2	λ2	PROPN
ejpam-2596	498	8	.	.	PUNCT
ejpam-2596	499	1	theorem	theorem	NOUN
ejpam-2596	499	2	5	5	NUM
ejpam-2596	499	3	.	.	PUNCT
ejpam-2596	500	1	let	let	VERB
ejpam-2596	500	2	g(stat)−	g(stat)−	PROPN
ejpam-2596	500	3	lim	lim	PROPN
ejpam-2596	501	1	x	x	X
ejpam-2596	501	2	=	=	PUNCT
ejpam-2596	501	3	λ1	λ1	PROPN
ejpam-2596	501	4	and	and	CCONJ
ejpam-2596	501	5	g(stat)−	g(stat)−	PROPN
ejpam-2596	501	6	lim	lim	PROPN
ejpam-2596	501	7	y	y	PROPN
ejpam-2596	501	8	=	=	SYM
ejpam-2596	501	9	λ2	λ2	PROPN
ejpam-2596	501	10	.	.	PUNCT
ejpam-2596	502	1	then	then	ADV
ejpam-2596	502	2	(	(	PUNCT
ejpam-2596	502	3	i	i	NOUN
ejpam-2596	502	4	)	)	PUNCT
ejpam-2596	502	5	g(stat)−	g(stat)−	PROPN
ejpam-2596	503	1	lim(x	lim(x	PROPN
ejpam-2596	503	2	±	±	NUM
ejpam-2596	503	3	y	y	NOUN
ejpam-2596	503	4	)	)	PUNCT
ejpam-2596	504	1	=	=	SYM
ejpam-2596	504	2	λ1	λ1	PROPN
ejpam-2596	504	3	±λ2	±λ2	PROPN
ejpam-2596	504	4	(	(	PUNCT
ejpam-2596	504	5	ii	ii	NOUN
ejpam-2596	504	6	)	)	PUNCT
ejpam-2596	504	7	g(stat)−	g(stat)−	PROPN
ejpam-2596	504	8	lim(αx	lim(αx	PROPN
ejpam-2596	504	9	)	)	PUNCT
ejpam-2596	504	10	=	=	PUNCT
ejpam-2596	504	11	αλ1,α	αλ1,α	PROPN
ejpam-2596	504	12	∈	∈	PROPN
ejpam-2596	504	13	r.	r.	PROPN
ejpam-2596	504	14	proof	proof	NOUN
ejpam-2596	504	15	.	.	PUNCT
ejpam-2596	505	1	it	it	PRON
ejpam-2596	505	2	is	be	AUX
ejpam-2596	505	3	easy	easy	ADJ
ejpam-2596	505	4	to	to	PART
ejpam-2596	505	5	prove	prove	VERB
ejpam-2596	505	6	.	.	PUNCT
ejpam-2596	506	1	theorem	theorem	VERB
ejpam-2596	506	2	6	6	NUM
ejpam-2596	506	3	.	.	PUNCT
ejpam-2596	507	1	a	a	DET
ejpam-2596	507	2	sequence	sequence	NOUN
ejpam-2596	507	3	x	x	NOUN
ejpam-2596	507	4	=	=	SYM
ejpam-2596	507	5	(	(	PUNCT
ejpam-2596	507	6	x	x	PROPN
ejpam-2596	507	7	j	j	NOUN
ejpam-2596	507	8	)	)	PUNCT
ejpam-2596	507	9	in	in	ADP
ejpam-2596	507	10	�	�	PROPN
ejpam-2596	507	11	�	�	PROPN
ejpam-2596	507	12	m	m	PRON
ejpam-2596	507	13	,	,	PUNCT
ejpam-2596	508	1	[	[	X
ejpam-2596	508	2	f	f	X
ejpam-2596	508	3	]	]	X
ejpam-2596	508	4	,	,	PUNCT
ejpam-2596	508	5	p,‖	p,‖	PROPN
ejpam-2596	508	6	·	·	PUNCT
ejpam-2596	508	7	,	,	PUNCT
ejpam-2596	508	8	.	.	PUNCT
ejpam-2596	508	9	.	.	PUNCT
ejpam-2596	508	10	.	.	PUNCT
ejpam-2596	509	1	,	,	PUNCT
ejpam-2596	509	2	·	·	PUNCT
ejpam-2596	509	3	‖	‖	PROPN
ejpam-2596	509	4	�	�	PROPN
ejpam-2596	509	5	,	,	PUNCT
ejpam-2596	509	6	g	g	PROPN
ejpam-2596	509	7	�	�	PROPN
ejpam-2596	509	8	is	be	AUX
ejpam-2596	509	9	statistically	statistically	ADV
ejpam-2596	509	10	convergent	convergent	ADJ
ejpam-2596	509	11	to	to	PART
ejpam-2596	509	12	λ	λ	VERB
ejpam-2596	509	13	if	if	SCONJ
ejpam-2596	510	1	and	and	CCONJ
ejpam-2596	510	2	only	only	ADV
ejpam-2596	510	3	if	if	SCONJ
ejpam-2596	510	4	there	there	PRON
ejpam-2596	510	5	exists	exist	VERB
ejpam-2596	510	6	a	a	DET
ejpam-2596	510	7	set	set	NOUN
ejpam-2596	510	8	j	j	PROPN
ejpam-2596	510	9	=	=	PRON
ejpam-2596	510	10	{	{	PUNCT
ejpam-2596	510	11	j1	j1	PROPN
ejpam-2596	510	12	<	<	X
ejpam-2596	510	13	j2	j2	PROPN
ejpam-2596	510	14	<	<	X
ejpam-2596	510	15	.	.	PUNCT
ejpam-2596	510	16	.	.	PUNCT
ejpam-2596	510	17	.	.	PUNCT
ejpam-2596	511	1	<	<	X
ejpam-2596	511	2	jn	jn	X
ejpam-2596	511	3	<	<	X
ejpam-2596	511	4	.	.	PUNCT
ejpam-2596	511	5	.	.	PUNCT
ejpam-2596	512	1	.	.	PUNCT
ejpam-2596	512	2	}	}	PUNCT
ejpam-2596	513	1	⊆	⊆	NUM
ejpam-2596	513	2	n	n	NOUN
ejpam-2596	513	3	with	with	ADP
ejpam-2596	513	4	δ(j	δ(j	PROPN
ejpam-2596	513	5	)	)	PUNCT
ejpam-2596	513	6	=	=	PUNCT
ejpam-2596	514	1	1	1	NUM
ejpam-2596	514	2	such	such	ADJ
ejpam-2596	514	3	that	that	SCONJ
ejpam-2596	514	4	g(x	g(x	PROPN
ejpam-2596	514	5	jn	jn	PROPN
ejpam-2596	514	6	−λ)→	−λ)→	PROPN
ejpam-2596	514	7	0	0	PUNCT
ejpam-2596	514	8	as	as	ADP
ejpam-2596	514	9	n→∞.	n→∞.	PROPN
ejpam-2596	514	10	proof	proof	NOUN
ejpam-2596	514	11	.	.	PUNCT
ejpam-2596	514	12	suppose	suppose	VERB
ejpam-2596	514	13	that	that	SCONJ
ejpam-2596	514	14	g(stat)−	g(stat)−	PROPN
ejpam-2596	514	15	lim	lim	PROPN
ejpam-2596	514	16	x	x	X
ejpam-2596	514	17	=	=	PUNCT
ejpam-2596	514	18	λ	λ	X
ejpam-2596	514	19	.	.	PUNCT
ejpam-2596	514	20	now	now	ADV
ejpam-2596	514	21	write	write	VERB
ejpam-2596	514	22	for	for	ADP
ejpam-2596	514	23	r	r	NOUN
ejpam-2596	514	24	=	=	SYM
ejpam-2596	514	25	1,2	1,2	NUM
ejpam-2596	514	26	,	,	PUNCT
ejpam-2596	514	27	.	.	PUNCT
ejpam-2596	514	28	.	.	PUNCT
ejpam-2596	515	1	..	..	PUNCT
ejpam-2596	515	2	jr(ε	jr(ε	X
ejpam-2596	515	3	)	)	PUNCT
ejpam-2596	516	1	=	=	SYM
ejpam-2596	516	2	¦	¦	PROPN
ejpam-2596	516	3	n	n	CCONJ
ejpam-2596	516	4	∈	∈	PROPN
ejpam-2596	516	5	n	n	NOUN
ejpam-2596	516	6	:	:	PUNCT
ejpam-2596	516	7	g(x	g(x	PROPN
ejpam-2596	516	8	jn	jn	X
ejpam-2596	517	1	−λ1)≤	−λ1)≤	ADV
ejpam-2596	517	2	1	1	NUM
ejpam-2596	517	3	+	+	SYM
ejpam-2596	517	4	1	1	NUM
ejpam-2596	517	5	r	r	NOUN
ejpam-2596	517	6	©	©	NOUN
ejpam-2596	517	7	and	and	CCONJ
ejpam-2596	517	8	lr(ε	lr(ε	NUM
ejpam-2596	517	9	)	)	PUNCT
ejpam-2596	517	10	=	=	SYM
ejpam-2596	518	1	¦	¦	PROPN
ejpam-2596	518	2	n	n	CCONJ
ejpam-2596	518	3	∈	∈	PROPN
ejpam-2596	518	4	n	n	NOUN
ejpam-2596	518	5	:	:	PUNCT
ejpam-2596	518	6	g(x	g(x	PROPN
ejpam-2596	518	7	jn	jn	PROPN
ejpam-2596	518	8	−λ1	−λ1	PROPN
ejpam-2596	518	9	)	)	PUNCT
ejpam-2596	518	10	>	>	X
ejpam-2596	518	11	1	1	NUM
ejpam-2596	518	12	r	r	NOUN
ejpam-2596	518	13	©	©	NOUN
ejpam-2596	518	14	.	.	PUNCT
ejpam-2596	519	1	then	then	ADV
ejpam-2596	519	2	δ(jr	δ(jr	NOUN
ejpam-2596	519	3	)	)	PUNCT
ejpam-2596	519	4	=	=	SYM
ejpam-2596	519	5	0	0	NUM
ejpam-2596	519	6	l1	l1	PROPN
ejpam-2596	519	7	⊃	⊃	PROPN
ejpam-2596	519	8	l2	l2	NOUN
ejpam-2596	519	9	⊃	⊃	PROPN
ejpam-2596	519	10	.	.	PUNCT
ejpam-2596	519	11	.	.	PUNCT
ejpam-2596	519	12	.	.	PUNCT
ejpam-2596	520	1	⊃	⊃	PROPN
ejpam-2596	520	2	li	li	PROPN
ejpam-2596	520	3	⊃	⊃	PROPN
ejpam-2596	520	4	li+1	li+1	PROPN
ejpam-2596	520	5	⊃	⊃	PROPN
ejpam-2596	520	6	.	.	PUNCT
ejpam-2596	520	7	.	.	PUNCT
ejpam-2596	520	8	.	.	PUNCT
ejpam-2596	521	1	(	(	PUNCT
ejpam-2596	521	2	12	12	NUM
ejpam-2596	521	3	)	)	PUNCT
ejpam-2596	521	4	k.	k.	PROPN
ejpam-2596	521	5	raj	raj	PROPN
ejpam-2596	521	6	,	,	PUNCT
ejpam-2596	521	7	r.	r.	PROPN
ejpam-2596	521	8	anand	anand	PROPN
ejpam-2596	521	9	,	,	PUNCT
ejpam-2596	521	10	s.	s.	PROPN
ejpam-2596	521	11	jamwal	jamwal	PROPN
ejpam-2596	521	12	/	/	SYM
ejpam-2596	521	13	eur	eur	PROPN
ejpam-2596	521	14	.	.	PUNCT
ejpam-2596	522	1	j.	j.	PROPN
ejpam-2596	522	2	pure	pure	PROPN
ejpam-2596	522	3	appl	appl	PROPN
ejpam-2596	522	4	.	.	PROPN
ejpam-2596	522	5	math	math	PROPN
ejpam-2596	522	6	,	,	PUNCT
ejpam-2596	522	7	9	9	NUM
ejpam-2596	522	8	(	(	PUNCT
ejpam-2596	522	9	2016	2016	NUM
ejpam-2596	522	10	)	)	PUNCT
ejpam-2596	522	11	,	,	PUNCT
ejpam-2596	522	12	464	464	NUM
ejpam-2596	522	13	-	-	SYM
ejpam-2596	522	14	478	478	NUM
ejpam-2596	522	15	475	475	NUM
ejpam-2596	522	16	and	and	CCONJ
ejpam-2596	522	17	δ(lr	δ(lr	PROPN
ejpam-2596	522	18	)	)	PUNCT
ejpam-2596	522	19	=	=	SYM
ejpam-2596	523	1	1	1	NUM
ejpam-2596	523	2	,	,	PUNCT
ejpam-2596	523	3	r	r	NOUN
ejpam-2596	523	4	=	=	SYM
ejpam-2596	523	5	1,2	1,2	NUM
ejpam-2596	523	6	,	,	PUNCT
ejpam-2596	523	7	.	.	PUNCT
ejpam-2596	523	8	.	.	PUNCT
ejpam-2596	523	9	.	.	PUNCT
ejpam-2596	524	1	(	(	PUNCT
ejpam-2596	524	2	13	13	NUM
ejpam-2596	524	3	)	)	PUNCT
ejpam-2596	524	4	now	now	ADV
ejpam-2596	524	5	we	we	PRON
ejpam-2596	524	6	have	have	VERB
ejpam-2596	524	7	to	to	PART
ejpam-2596	524	8	show	show	VERB
ejpam-2596	524	9	that	that	SCONJ
ejpam-2596	524	10	for	for	ADP
ejpam-2596	524	11	n	n	PRON
ejpam-2596	524	12	∈	∈	PROPN
ejpam-2596	524	13	lr	lr	NOUN
ejpam-2596	524	14	.	.	PUNCT
ejpam-2596	525	1	since	since	SCONJ
ejpam-2596	525	2	{	{	PUNCT
ejpam-2596	525	3	x	x	PROPN
ejpam-2596	525	4	jn	jn	PROPN
ejpam-2596	525	5	}	}	PUNCT
ejpam-2596	525	6	is	be	AUX
ejpam-2596	525	7	g	g	NOUN
ejpam-2596	525	8	-	-	PUNCT
ejpam-2596	525	9	convergent	convergent	NOUN
ejpam-2596	525	10	to	to	ADP
ejpam-2596	525	11	λ	λ	X
ejpam-2596	525	12	.	.	PROPN
ejpam-2596	526	1	on	on	ADP
ejpam-2596	526	2	contrary	contrary	ADJ
ejpam-2596	526	3	suppose	suppose	VERB
ejpam-2596	526	4	that	that	SCONJ
ejpam-2596	526	5	{	{	PUNCT
ejpam-2596	526	6	x	x	SYM
ejpam-2596	526	7	jn	jn	PROPN
ejpam-2596	526	8	}	}	PUNCT
ejpam-2596	526	9	is	be	AUX
ejpam-2596	526	10	not	not	PART
ejpam-2596	526	11	g−convergent	g−convergent	NOUN
ejpam-2596	526	12	to	to	PART
ejpam-2596	526	13	λ	λ	PROPN
ejpam-2596	526	14	.	.	PUNCT
ejpam-2596	526	15	therefore	therefore	ADV
ejpam-2596	526	16	,	,	PUNCT
ejpam-2596	526	17	there	there	PRON
ejpam-2596	526	18	is	be	VERB
ejpam-2596	526	19	ε	ε	PROPN
ejpam-2596	526	20	>	>	X
ejpam-2596	526	21	0	0	NUM
ejpam-2596	526	22	such	such	ADJ
ejpam-2596	526	23	that	that	SCONJ
ejpam-2596	526	24	g(x	g(x	PROPN
ejpam-2596	526	25	jn	jn	PROPN
ejpam-2596	526	26	−	−	PROPN
ejpam-2596	526	27	λ	λ	PROPN
ejpam-2596	526	28	)	)	PUNCT
ejpam-2596	526	29	≤	≤	PUNCT
ejpam-2596	526	30	ε	ε	PROPN
ejpam-2596	526	31	for	for	ADP
ejpam-2596	526	32	infinitely	infinitely	ADV
ejpam-2596	526	33	many	many	ADJ
ejpam-2596	526	34	terms	term	NOUN
ejpam-2596	526	35	.	.	PUNCT
ejpam-2596	527	1	let	let	VERB
ejpam-2596	527	2	lε	lε	X
ejpam-2596	527	3	=	=	SYM
ejpam-2596	527	4	¦	¦	PROPN
ejpam-2596	527	5	n	n	CCONJ
ejpam-2596	527	6	∈	∈	PROPN
ejpam-2596	527	7	n	n	NOUN
ejpam-2596	527	8	:	:	PUNCT
ejpam-2596	527	9	g(x	g(x	PROPN
ejpam-2596	527	10	jn	jn	PROPN
ejpam-2596	527	11	−λ	−λ	PROPN
ejpam-2596	527	12	)	)	PUNCT
ejpam-2596	527	13	>	>	X
ejpam-2596	527	14	ε	ε	PROPN
ejpam-2596	527	15	©	©	PROPN
ejpam-2596	527	16	and	and	CCONJ
ejpam-2596	527	17	ε	ε	PROPN
ejpam-2596	527	18	>	>	X
ejpam-2596	527	19	1	1	NUM
ejpam-2596	527	20	r	r	NOUN
ejpam-2596	527	21	,	,	PUNCT
ejpam-2596	527	22	r	r	NOUN
ejpam-2596	527	23	∈	∈	PROPN
ejpam-2596	527	24	n.	n.	NOUN
ejpam-2596	527	25	then	then	ADV
ejpam-2596	527	26	δ(lε	δ(lε	PROPN
ejpam-2596	527	27	)	)	PUNCT
ejpam-2596	527	28	=	=	SYM
ejpam-2596	527	29	0	0	NUM
ejpam-2596	528	1	(	(	PUNCT
ejpam-2596	528	2	14	14	NUM
ejpam-2596	528	3	)	)	PUNCT
ejpam-2596	528	4	and	and	CCONJ
ejpam-2596	528	5	by	by	ADP
ejpam-2596	528	6	(	(	PUNCT
ejpam-2596	528	7	12	12	NUM
ejpam-2596	528	8	)	)	PUNCT
ejpam-2596	528	9	lr	lr	X
ejpam-2596	528	10	⊂	⊂	PROPN
ejpam-2596	528	11	lε	lε	PROPN
ejpam-2596	528	12	.	.	PUNCT
ejpam-2596	529	1	hence	hence	ADV
ejpam-2596	529	2	δ(lr	δ(lr	PROPN
ejpam-2596	529	3	)	)	PUNCT
ejpam-2596	529	4	=	=	SYM
ejpam-2596	529	5	0	0	NUM
ejpam-2596	529	6	which	which	PRON
ejpam-2596	529	7	contradicts	contradict	VERB
ejpam-2596	529	8	(	(	PUNCT
ejpam-2596	529	9	13	13	NUM
ejpam-2596	529	10	)	)	PUNCT
ejpam-2596	529	11	and	and	CCONJ
ejpam-2596	529	12	we	we	PRON
ejpam-2596	529	13	get	get	VERB
ejpam-2596	529	14	that	that	PRON
ejpam-2596	529	15	{	{	PUNCT
ejpam-2596	529	16	x	x	SYM
ejpam-2596	529	17	jn	jn	PROPN
ejpam-2596	529	18	}	}	PUNCT
ejpam-2596	529	19	is	be	AUX
ejpam-2596	529	20	gconvergent	gconvergent	ADJ
ejpam-2596	529	21	to	to	ADP
ejpam-2596	529	22	λ	λ	PRON
ejpam-2596	529	23	.	.	PUNCT
ejpam-2596	529	24	conversely	conversely	ADV
ejpam-2596	529	25	,	,	PUNCT
ejpam-2596	529	26	suppose	suppose	VERB
ejpam-2596	529	27	that	that	SCONJ
ejpam-2596	529	28	there	there	PRON
ejpam-2596	529	29	exists	exist	VERB
ejpam-2596	529	30	a	a	DET
ejpam-2596	529	31	set	set	NOUN
ejpam-2596	529	32	j	j	PROPN
ejpam-2596	529	33	=	=	PRON
ejpam-2596	529	34	{	{	PUNCT
ejpam-2596	529	35	j1	j1	PROPN
ejpam-2596	529	36	<	<	X
ejpam-2596	529	37	j2	j2	PROPN
ejpam-2596	529	38	<	<	X
ejpam-2596	529	39	.	.	PUNCT
ejpam-2596	529	40	.	.	PUNCT
ejpam-2596	529	41	.	.	PUNCT
ejpam-2596	530	1	<	<	X
ejpam-2596	530	2	jn	jn	X
ejpam-2596	530	3	<	<	X
ejpam-2596	530	4	.	.	PUNCT
ejpam-2596	530	5	.	.	PUNCT
ejpam-2596	531	1	.	.	PUNCT
ejpam-2596	531	2	}	}	PUNCT
ejpam-2596	532	1	with	with	ADP
ejpam-2596	532	2	δ(j	δ(j	PROPN
ejpam-2596	532	3	)	)	PUNCT
ejpam-2596	532	4	=	=	PUNCT
ejpam-2596	533	1	1	1	NUM
ejpam-2596	533	2	such	such	ADJ
ejpam-2596	533	3	that	that	SCONJ
ejpam-2596	534	1	g	g	PROPN
ejpam-2596	534	2	−	−	PROPN
ejpam-2596	534	3	limn→∞	limn→∞	PROPN
ejpam-2596	534	4	x	x	X
ejpam-2596	534	5	jn	jn	PROPN
ejpam-2596	534	6	=	=	PROPN
ejpam-2596	534	7	λ	λ	PROPN
ejpam-2596	534	8	then	then	ADV
ejpam-2596	534	9	there	there	PRON
ejpam-2596	534	10	exists	exist	VERB
ejpam-2596	534	11	a	a	DET
ejpam-2596	534	12	positive	positive	ADJ
ejpam-2596	534	13	integer	integer	NOUN
ejpam-2596	534	14	n	n	CCONJ
ejpam-2596	534	15	such	such	ADJ
ejpam-2596	534	16	that	that	SCONJ
ejpam-2596	534	17	g(x	g(x	PROPN
ejpam-2596	534	18	j	j	PROPN
ejpam-2596	534	19	−λ	−λ	NOUN
ejpam-2596	534	20	)	)	PUNCT
ejpam-2596	534	21	<	<	X
ejpam-2596	534	22	ε	ε	PROPN
ejpam-2596	534	23	for	for	ADP
ejpam-2596	534	24	j	j	PROPN
ejpam-2596	534	25	>	>	X
ejpam-2596	534	26	n	n	PROPN
ejpam-2596	534	27	.	.	PUNCT
ejpam-2596	535	1	put	put	VERB
ejpam-2596	535	2	jε(t	jε(t	PUNCT
ejpam-2596	535	3	)	)	PUNCT
ejpam-2596	536	1	=	=	SYM
ejpam-2596	536	2	¦	¦	PROPN
ejpam-2596	536	3	n	n	CCONJ
ejpam-2596	536	4	∈	∈	PROPN
ejpam-2596	536	5	n	n	NOUN
ejpam-2596	536	6	:	:	PUNCT
ejpam-2596	536	7	g(x	g(x	ADJ
ejpam-2596	536	8	j	j	NOUN
ejpam-2596	536	9	−λ)≥	−λ)≥	PROPN
ejpam-2596	536	10	ε	ε	PROPN
ejpam-2596	536	11	©	©	PROPN
ejpam-2596	536	12	and	and	CCONJ
ejpam-2596	536	13	j	j	PROPN
ejpam-2596	536	14	′	′	NUM
ejpam-2596	536	15	=	=	SYM
ejpam-2596	536	16	{	{	PUNCT
ejpam-2596	536	17	jn+1	jn+1	PROPN
ejpam-2596	536	18	,	,	PUNCT
ejpam-2596	536	19	jn+2	jn+2	PROPN
ejpam-2596	536	20	,	,	PUNCT
ejpam-2596	536	21	.	.	PUNCT
ejpam-2596	536	22	.	.	PUNCT
ejpam-2596	536	23	.	.	PUNCT
ejpam-2596	536	24	}	}	PUNCT
ejpam-2596	536	25	.	.	PUNCT
ejpam-2596	537	1	then	then	ADV
ejpam-2596	537	2	δ(j	δ(j	PROPN
ejpam-2596	537	3	′	′	NUM
ejpam-2596	537	4	)	)	PUNCT
ejpam-2596	537	5	=	=	SYM
ejpam-2596	537	6	1	1	NUM
ejpam-2596	537	7	and	and	CCONJ
ejpam-2596	537	8	jε	jε	ADP
ejpam-2596	537	9	⊆	⊆	NUM
ejpam-2596	537	10	n\j	n\j	NOUN
ejpam-2596	537	11	′	′	NUM
ejpam-2596	537	12	which	which	PRON
ejpam-2596	537	13	implies	imply	VERB
ejpam-2596	537	14	that	that	SCONJ
ejpam-2596	537	15	δ(lε	δ(lε	PROPN
ejpam-2596	537	16	)	)	PUNCT
ejpam-2596	537	17	=	=	PUNCT
ejpam-2596	538	1	0	0	X
ejpam-2596	538	2	.	.	PUNCT
ejpam-2596	539	1	hence	hence	ADV
ejpam-2596	539	2	g(stat)−	g(stat)−	PROPN
ejpam-2596	539	3	lim	lim	PROPN
ejpam-2596	539	4	x	x	X
ejpam-2596	540	1	=	=	SYM
ejpam-2596	540	2	λ	λ	PROPN
ejpam-2596	540	3	.	.	PUNCT
ejpam-2596	540	4	theorem	theorem	VERB
ejpam-2596	540	5	7	7	NUM
ejpam-2596	540	6	.	.	PUNCT
ejpam-2596	541	1	let	let	VERB
ejpam-2596	541	2	(	(	PUNCT
ejpam-2596	541	3	�	�	PROPN
ejpam-2596	541	4	m	m	PRON
ejpam-2596	541	5	,	,	PUNCT
ejpam-2596	542	1	[	[	X
ejpam-2596	542	2	f	f	X
ejpam-2596	542	3	]	]	X
ejpam-2596	542	4	,	,	PUNCT
ejpam-2596	542	5	p,‖	p,‖	PROPN
ejpam-2596	542	6	·	·	PUNCT
ejpam-2596	542	7	,	,	PUNCT
ejpam-2596	542	8	.	.	PUNCT
ejpam-2596	542	9	.	.	PUNCT
ejpam-2596	542	10	.	.	PUNCT
ejpam-2596	543	1	,	,	PUNCT
ejpam-2596	543	2	·	·	PUNCT
ejpam-2596	543	3	‖	‖	PROPN
ejpam-2596	543	4	�	�	PROPN
ejpam-2596	543	5	,	,	PUNCT
ejpam-2596	543	6	g	g	PROPN
ejpam-2596	543	7	�	�	PROPN
ejpam-2596	543	8	be	be	AUX
ejpam-2596	543	9	a	a	DET
ejpam-2596	543	10	complete	complete	ADJ
ejpam-2596	543	11	paranormed	paranorme	VERB
ejpam-2596	543	12	space	space	NOUN
ejpam-2596	543	13	.	.	PUNCT
ejpam-2596	544	1	then	then	ADV
ejpam-2596	544	2	a	a	DET
ejpam-2596	544	3	sequence	sequence	NOUN
ejpam-2596	544	4	x	x	NOUN
ejpam-2596	544	5	=	=	SYM
ejpam-2596	544	6	(	(	PUNCT
ejpam-2596	544	7	x	x	PROPN
ejpam-2596	544	8	j	j	NOUN
ejpam-2596	544	9	)	)	PUNCT
ejpam-2596	544	10	of	of	ADP
ejpam-2596	544	11	points	point	NOUN
ejpam-2596	544	12	in	in	ADP
ejpam-2596	544	13	�	�	PROPN
ejpam-2596	544	14	�	�	PROPN
ejpam-2596	544	15	m	m	PRON
ejpam-2596	544	16	,	,	PUNCT
ejpam-2596	545	1	[	[	X
ejpam-2596	545	2	f	f	X
ejpam-2596	545	3	]	]	X
ejpam-2596	545	4	,	,	PUNCT
ejpam-2596	545	5	p,‖	p,‖	PROPN
ejpam-2596	545	6	·	·	PUNCT
ejpam-2596	545	7	,	,	PUNCT
ejpam-2596	545	8	.	.	PUNCT
ejpam-2596	545	9	.	.	PUNCT
ejpam-2596	545	10	.	.	PUNCT
ejpam-2596	546	1	,	,	PUNCT
ejpam-2596	546	2	·	·	PUNCT
ejpam-2596	546	3	‖	‖	PROPN
ejpam-2596	546	4	�	�	PROPN
ejpam-2596	546	5	,	,	PUNCT
ejpam-2596	546	6	g	g	PROPN
ejpam-2596	546	7	�	�	PROPN
ejpam-2596	546	8	is	be	AUX
ejpam-2596	546	9	statistically	statistically	ADV
ejpam-2596	546	10	convergent	convergent	ADJ
ejpam-2596	546	11	if	if	SCONJ
ejpam-2596	547	1	and	and	CCONJ
ejpam-2596	547	2	only	only	ADV
ejpam-2596	547	3	if	if	SCONJ
ejpam-2596	547	4	it	it	PRON
ejpam-2596	547	5	is	be	AUX
ejpam-2596	547	6	statistically	statistically	ADV
ejpam-2596	547	7	cauchy	cauchy	ADJ
ejpam-2596	547	8	.	.	PUNCT
ejpam-2596	548	1	proof	proof	NOUN
ejpam-2596	548	2	.	.	PUNCT
ejpam-2596	549	1	suppose	suppose	VERB
ejpam-2596	549	2	that	that	SCONJ
ejpam-2596	549	3	g(stat)−	g(stat)−	PROPN
ejpam-2596	549	4	lim	lim	PROPN
ejpam-2596	549	5	x	x	X
ejpam-2596	550	1	=	=	SYM
ejpam-2596	550	2	λ	λ	PROPN
ejpam-2596	550	3	,	,	PUNCT
ejpam-2596	550	4	then	then	ADV
ejpam-2596	550	5	we	we	PRON
ejpam-2596	550	6	get	get	VERB
ejpam-2596	550	7	δ(a(ε	δ(a(ε	ADJ
ejpam-2596	550	8	)	)	PUNCT
ejpam-2596	550	9	)	)	PUNCT
ejpam-2596	551	1	=	=	PUNCT
ejpam-2596	551	2	0	0	NUM
ejpam-2596	551	3	,	,	PUNCT
ejpam-2596	551	4	where	where	SCONJ
ejpam-2596	551	5	a(ε	a(ε	PROPN
ejpam-2596	551	6	)	)	PUNCT
ejpam-2596	551	7	=	=	PUNCT
ejpam-2596	551	8	¦	¦	PROPN
ejpam-2596	551	9	j	j	PROPN
ejpam-2596	551	10	∈	∈	PROPN
ejpam-2596	551	11	n	n	CCONJ
ejpam-2596	551	12	:	:	PUNCT
ejpam-2596	551	13	g(x	g(x	ADJ
ejpam-2596	551	14	j	j	NOUN
ejpam-2596	551	15	−λ)≥	−λ)≥	PROPN
ejpam-2596	551	16	ε	ε	PROPN
ejpam-2596	551	17	2	2	NUM
ejpam-2596	551	18	©	©	NOUN
ejpam-2596	551	19	.	.	PUNCT
ejpam-2596	552	1	this	this	PRON
ejpam-2596	552	2	implies	imply	VERB
ejpam-2596	552	3	δ(ac(ε	δ(ac(ε	NOUN
ejpam-2596	552	4	)	)	PUNCT
ejpam-2596	552	5	)	)	PUNCT
ejpam-2596	553	1	=	=	SYM
ejpam-2596	553	2	δ	δ	PROPN
ejpam-2596	553	3	(	(	PUNCT
ejpam-2596	553	4	{	{	PUNCT
ejpam-2596	553	5	j	j	PROPN
ejpam-2596	553	6	∈	∈	PROPN
ejpam-2596	553	7	n	n	CCONJ
ejpam-2596	553	8	:	:	PUNCT
ejpam-2596	553	9	g(x	g(x	PROPN
ejpam-2596	553	10	j	j	PROPN
ejpam-2596	553	11	−λ	−λ	PROPN
ejpam-2596	553	12	)	)	PUNCT
ejpam-2596	553	13	)	)	PUNCT
ejpam-2596	553	14	<	<	X
ejpam-2596	553	15	ε	ε	PROPN
ejpam-2596	553	16	}	}	PUNCT
ejpam-2596	553	17	)	)	PUNCT
ejpam-2596	553	18	=	=	SYM
ejpam-2596	554	1	1	1	X
ejpam-2596	554	2	.	.	PUNCT
ejpam-2596	554	3	let	let	VERB
ejpam-2596	554	4	l	l	PROPN
ejpam-2596	554	5	∈	∈	PROPN
ejpam-2596	554	6	ac(ε	ac(ε	X
ejpam-2596	554	7	)	)	PUNCT
ejpam-2596	554	8	,	,	PUNCT
ejpam-2596	554	9	then	then	ADV
ejpam-2596	554	10	g(x	g(x	PROPN
ejpam-2596	554	11	l	l	NOUN
ejpam-2596	554	12	−λ	−λ	NOUN
ejpam-2596	554	13	)	)	PUNCT
ejpam-2596	554	14	<	<	X
ejpam-2596	554	15	ε	ε	PROPN
ejpam-2596	554	16	2	2	NUM
ejpam-2596	554	17	.	.	PUNCT
ejpam-2596	555	1	now	now	ADV
ejpam-2596	555	2	let	let	VERB
ejpam-2596	555	3	b(ε	b(ε	NOUN
ejpam-2596	555	4	)	)	PUNCT
ejpam-2596	556	1	=	=	PUNCT
ejpam-2596	556	2	¦	¦	PROPN
ejpam-2596	556	3	j	j	PROPN
ejpam-2596	556	4	∈	∈	PROPN
ejpam-2596	556	5	n	n	CCONJ
ejpam-2596	556	6	:	:	PUNCT
ejpam-2596	556	7	g(x	g(x	X
ejpam-2596	556	8	l	l	NOUN
ejpam-2596	556	9	−	−	NOUN
ejpam-2596	557	1	x	x	INTJ
ejpam-2596	557	2	j)≥	j)≥	PROPN
ejpam-2596	557	3	ε	ε	PROPN
ejpam-2596	557	4	}	}	PUNCT
ejpam-2596	557	5	.	.	PUNCT
ejpam-2596	558	1	we	we	PRON
ejpam-2596	558	2	need	need	VERB
ejpam-2596	558	3	to	to	PART
ejpam-2596	558	4	show	show	VERB
ejpam-2596	558	5	that	that	SCONJ
ejpam-2596	558	6	b(ε	b(ε	X
ejpam-2596	558	7	)	)	PUNCT
ejpam-2596	558	8	⊂	⊂	PROPN
ejpam-2596	558	9	a(ε	a(ε	PROPN
ejpam-2596	558	10	)	)	PUNCT
ejpam-2596	558	11	.	.	PUNCT
ejpam-2596	559	1	let	let	VERB
ejpam-2596	559	2	j	j	PROPN
ejpam-2596	559	3	∈	∈	PROPN
ejpam-2596	559	4	b(ε	b(ε	PROPN
ejpam-2596	559	5	)	)	PUNCT
ejpam-2596	559	6	then	then	ADV
ejpam-2596	560	1	g(x	g(x	ADJ
ejpam-2596	560	2	l	l	NOUN
ejpam-2596	560	3	−	−	NOUN
ejpam-2596	561	1	x	x	INTJ
ejpam-2596	561	2	j)≥	j)≥	PROPN
ejpam-2596	561	3	ε	ε	PROPN
ejpam-2596	561	4	and	and	CCONJ
ejpam-2596	561	5	hence	hence	ADV
ejpam-2596	561	6	g(x	g(x	PROPN
ejpam-2596	561	7	j	j	PROPN
ejpam-2596	561	8	−λ))≥	−λ))≥	X
ejpam-2596	561	9	ε	ε	PROPN
ejpam-2596	561	10	that	that	PRON
ejpam-2596	561	11	j	j	PROPN
ejpam-2596	561	12	∈	∈	PROPN
ejpam-2596	561	13	a(ε	a(ε	PROPN
ejpam-2596	561	14	)	)	PUNCT
ejpam-2596	561	15	.	.	PUNCT
ejpam-2596	562	1	otherwise	otherwise	ADV
ejpam-2596	562	2	if	if	SCONJ
ejpam-2596	562	3	g(x	g(x	PROPN
ejpam-2596	562	4	j	j	PROPN
ejpam-2596	562	5	−λ	−λ	NOUN
ejpam-2596	562	6	)	)	PUNCT
ejpam-2596	562	7	)	)	PUNCT
ejpam-2596	562	8	<	<	X
ejpam-2596	562	9	ε	ε	PROPN
ejpam-2596	562	10	then	then	ADV
ejpam-2596	562	11	ε	ε	PROPN
ejpam-2596	562	12	≤	≤	PROPN
ejpam-2596	563	1	g(x	g(x	PROPN
ejpam-2596	563	2	j	j	NOUN
ejpam-2596	563	3	−	−	NOUN
ejpam-2596	563	4	x	x	PUNCT
ejpam-2596	563	5	l)≤	l)≤	ADP
ejpam-2596	563	6	g(x	g(x	PROPN
ejpam-2596	563	7	j	j	PROPN
ejpam-2596	563	8	−λ	−λ	NOUN
ejpam-2596	563	9	)	)	PUNCT
ejpam-2596	564	1	+	+	CCONJ
ejpam-2596	564	2	g(x	g(x	PROPN
ejpam-2596	564	3	l	l	NOUN
ejpam-2596	564	4	−λ	−λ	NOUN
ejpam-2596	564	5	)	)	PUNCT
ejpam-2596	564	6	<	<	X
ejpam-2596	564	7	ε	ε	PROPN
ejpam-2596	564	8	2	2	NUM
ejpam-2596	564	9	+	+	CCONJ
ejpam-2596	564	10	ε	ε	PROPN
ejpam-2596	564	11	2	2	NUM
ejpam-2596	564	12	=	=	SYM
ejpam-2596	564	13	ε	ε	PROPN
ejpam-2596	564	14	,	,	PUNCT
ejpam-2596	564	15	which	which	PRON
ejpam-2596	564	16	is	be	AUX
ejpam-2596	564	17	not	not	PART
ejpam-2596	564	18	possible	possible	ADJ
ejpam-2596	564	19	.	.	PUNCT
ejpam-2596	565	1	hence	hence	ADV
ejpam-2596	565	2	b(ε	b(ε	X
ejpam-2596	565	3	)	)	PUNCT
ejpam-2596	566	1	⊂	⊂	PROPN
ejpam-2596	566	2	a(ε	a(ε	PROPN
ejpam-2596	566	3	)	)	PUNCT
ejpam-2596	566	4	,	,	PUNCT
ejpam-2596	566	5	implies	imply	VERB
ejpam-2596	566	6	that	that	SCONJ
ejpam-2596	566	7	x	x	X
ejpam-2596	566	8	=	=	SYM
ejpam-2596	566	9	(	(	PUNCT
ejpam-2596	566	10	x	x	SYM
ejpam-2596	566	11	j	j	NOUN
ejpam-2596	566	12	)	)	PUNCT
ejpam-2596	566	13	is	be	AUX
ejpam-2596	566	14	g(stat)-convergent	g(stat)-convergent	PRON
ejpam-2596	566	15	.	.	PUNCT
ejpam-2596	567	1	conversely	conversely	ADV
ejpam-2596	567	2	,	,	PUNCT
ejpam-2596	567	3	suppose	suppose	VERB
ejpam-2596	567	4	that	that	SCONJ
ejpam-2596	567	5	x	x	X
ejpam-2596	567	6	=	=	PRON
ejpam-2596	567	7	(	(	PUNCT
ejpam-2596	567	8	x	x	SYM
ejpam-2596	567	9	j	j	NOUN
ejpam-2596	567	10	)	)	PUNCT
ejpam-2596	567	11	is	be	AUX
ejpam-2596	567	12	g(stat)-cauchy	g(stat)-cauchy	NOUN
ejpam-2596	567	13	but	but	CCONJ
ejpam-2596	567	14	not	not	PART
ejpam-2596	567	15	g(stat)-convergent	g(stat)-convergent	PROPN
ejpam-2596	567	16	.	.	PUNCT
ejpam-2596	568	1	then	then	ADV
ejpam-2596	568	2	there	there	PRON
ejpam-2596	568	3	exists	exist	VERB
ejpam-2596	568	4	t	t	PROPN
ejpam-2596	568	5	∈	∈	PROPN
ejpam-2596	568	6	n	n	PRON
ejpam-2596	568	7	such	such	ADJ
ejpam-2596	568	8	that	that	DET
ejpam-2596	568	9	δ(g(ε	δ(g(ε	NOUN
ejpam-2596	568	10	)	)	PUNCT
ejpam-2596	568	11	)	)	PUNCT
ejpam-2596	569	1	=	=	PUNCT
ejpam-2596	569	2	0	0	X
ejpam-2596	569	3	.	.	PUNCT
ejpam-2596	569	4	where	where	SCONJ
ejpam-2596	569	5	g(ε	g(ε	NOUN
ejpam-2596	569	6	)	)	PUNCT
ejpam-2596	569	7	=	=	PUNCT
ejpam-2596	569	8	¦	¦	PROPN
ejpam-2596	569	9	j	j	PROPN
ejpam-2596	569	10	∈	∈	PROPN
ejpam-2596	570	1	n	n	CCONJ
ejpam-2596	570	2	:	:	PUNCT
ejpam-2596	570	3	g(x	g(x	ADJ
ejpam-2596	570	4	j	j	NOUN
ejpam-2596	571	1	−	−	NOUN
ejpam-2596	571	2	x	x	INTJ
ejpam-2596	571	3	t)≥	t)≥	PROPN
ejpam-2596	571	4	ε	ε	PROPN
ejpam-2596	571	5	©	©	PROPN
ejpam-2596	571	6	k.	k.	PROPN
ejpam-2596	571	7	raj	raj	PROPN
ejpam-2596	571	8	,	,	PUNCT
ejpam-2596	571	9	r.	r.	PROPN
ejpam-2596	571	10	anand	anand	PROPN
ejpam-2596	571	11	,	,	PUNCT
ejpam-2596	571	12	s.	s.	PROPN
ejpam-2596	571	13	jamwal	jamwal	PROPN
ejpam-2596	571	14	/	/	SYM
ejpam-2596	571	15	eur	eur	PROPN
ejpam-2596	571	16	.	.	PUNCT
ejpam-2596	572	1	j.	j.	PROPN
ejpam-2596	572	2	pure	pure	PROPN
ejpam-2596	572	3	appl	appl	PROPN
ejpam-2596	572	4	.	.	PROPN
ejpam-2596	572	5	math	math	PROPN
ejpam-2596	572	6	,	,	PUNCT
ejpam-2596	572	7	9	9	NUM
ejpam-2596	572	8	(	(	PUNCT
ejpam-2596	572	9	2016	2016	NUM
ejpam-2596	572	10	)	)	PUNCT
ejpam-2596	572	11	,	,	PUNCT
ejpam-2596	572	12	464	464	NUM
ejpam-2596	572	13	-	-	SYM
ejpam-2596	572	14	478	478	NUM
ejpam-2596	572	15	476	476	NUM
ejpam-2596	572	16	and	and	CCONJ
ejpam-2596	572	17	δ(d(ε	δ(d(ε	PROPN
ejpam-2596	572	18	)	)	PUNCT
ejpam-2596	572	19	)	)	PUNCT
ejpam-2596	573	1	=	=	PUNCT
ejpam-2596	573	2	0	0	NUM
ejpam-2596	573	3	,	,	PUNCT
ejpam-2596	573	4	where	where	SCONJ
ejpam-2596	573	5	d(ε	d(ε	NOUN
ejpam-2596	573	6	)	)	PUNCT
ejpam-2596	573	7	=	=	PUNCT
ejpam-2596	574	1	¦	¦	PROPN
ejpam-2596	574	2	j	j	PROPN
ejpam-2596	574	3	∈	∈	PROPN
ejpam-2596	574	4	n	n	CCONJ
ejpam-2596	574	5	:	:	PUNCT
ejpam-2596	574	6	g(x	g(x	PROPN
ejpam-2596	574	7	j	j	PROPN
ejpam-2596	574	8	−λ	−λ	NOUN
ejpam-2596	574	9	)	)	PUNCT
ejpam-2596	574	10	<	<	X
ejpam-2596	574	11	ε	ε	PROPN
ejpam-2596	574	12	2	2	NUM
ejpam-2596	574	13	©	©	PROPN
ejpam-2596	574	14	i.e	i.e	PROPN
ejpam-2596	574	15	,	,	PUNCT
ejpam-2596	574	16	δ(dc(ε	δ(dc(ε	PROPN
ejpam-2596	574	17	)	)	PUNCT
ejpam-2596	574	18	)	)	PUNCT
ejpam-2596	575	1	=	=	PUNCT
ejpam-2596	575	2	1	1	NUM
ejpam-2596	575	3	,	,	PUNCT
ejpam-2596	575	4	since	since	SCONJ
ejpam-2596	575	5	g(x	g(x	PROPN
ejpam-2596	575	6	j	j	NOUN
ejpam-2596	575	7	−	−	PROPN
ejpam-2596	575	8	x	x	SYM
ejpam-2596	575	9	l	l	NOUN
ejpam-2596	575	10	)	)	PUNCT
ejpam-2596	575	11	≤	≤	NOUN
ejpam-2596	576	1	2g(x	2g(x	NUM
ejpam-2596	577	1	j	j	PROPN
ejpam-2596	577	2	−	−	PROPN
ejpam-2596	577	3	λ	λ	PROPN
ejpam-2596	577	4	)	)	PUNCT
ejpam-2596	577	5	<	<	X
ejpam-2596	577	6	ε	ε	PROPN
ejpam-2596	577	7	.	.	PUNCT
ejpam-2596	578	1	if	if	SCONJ
ejpam-2596	578	2	g(x	g(x	PROPN
ejpam-2596	578	3	j	j	PROPN
ejpam-2596	578	4	−	−	PROPN
ejpam-2596	578	5	λ	λ	PROPN
ejpam-2596	578	6	)	)	PUNCT
ejpam-2596	578	7	<	<	X
ejpam-2596	578	8	ε	ε	PROPN
ejpam-2596	578	9	2	2	NUM
ejpam-2596	578	10	then	then	ADV
ejpam-2596	578	11	δ(gc(ε	δ(gc(ε	NOUN
ejpam-2596	578	12	)	)	PUNCT
ejpam-2596	578	13	)	)	PUNCT
ejpam-2596	578	14	=	=	SYM
ejpam-2596	578	15	0	0	NUM
ejpam-2596	578	16	,	,	PUNCT
ejpam-2596	578	17	i.e	i.e	X
ejpam-2596	578	18	,	,	PUNCT
ejpam-2596	578	19	δ(g(ε	δ(g(ε	NOUN
ejpam-2596	578	20	)	)	PUNCT
ejpam-2596	578	21	)	)	PUNCT
ejpam-2596	579	1	=	=	SYM
ejpam-2596	579	2	1	1	NUM
ejpam-2596	579	3	which	which	PRON
ejpam-2596	579	4	leads	lead	VERB
ejpam-2596	579	5	to	to	ADP
ejpam-2596	579	6	a	a	DET
ejpam-2596	579	7	contradiction	contradiction	NOUN
ejpam-2596	579	8	since	since	SCONJ
ejpam-2596	579	9	x	x	PROPN
ejpam-2596	579	10	=	=	PRON
ejpam-2596	579	11	(	(	PUNCT
ejpam-2596	579	12	x	x	SYM
ejpam-2596	579	13	j	j	NOUN
ejpam-2596	579	14	)	)	PUNCT
ejpam-2596	579	15	was	be	AUX
ejpam-2596	579	16	g(stat)-cauchy	g(stat)-cauchy	VERB
ejpam-2596	579	17	.	.	PUNCT
ejpam-2596	580	1	hence	hence	ADV
ejpam-2596	580	2	x	x	X
ejpam-2596	580	3	=	=	SYM
ejpam-2596	580	4	(	(	PUNCT
ejpam-2596	580	5	x	x	SYM
ejpam-2596	580	6	j	j	NOUN
ejpam-2596	580	7	)	)	PUNCT
ejpam-2596	580	8	must	must	AUX
ejpam-2596	580	9	be	be	AUX
ejpam-2596	580	10	g(stat)-convergent	g(stat)-convergent	PROPN
ejpam-2596	580	11	.	.	PUNCT
ejpam-2596	581	1	theorem	theorem	NOUN
ejpam-2596	581	2	8	8	NUM
ejpam-2596	581	3	.	.	PUNCT
ejpam-2596	582	1	if	if	SCONJ
ejpam-2596	582	2	0	0	NUM
ejpam-2596	582	3	<	<	X
ejpam-2596	582	4	p	p	X
ejpam-2596	582	5	<	<	X
ejpam-2596	582	6	∞	∞	PROPN
ejpam-2596	582	7	and	and	CCONJ
ejpam-2596	582	8	x	x	SYM
ejpam-2596	582	9	j	j	PROPN
ejpam-2596	582	10	→	→	SYM
ejpam-2596	582	11	λ[c	λ[c	X
ejpam-2596	582	12	,	,	PUNCT
ejpam-2596	582	13	g]p	g]p	PROPN
ejpam-2596	582	14	,	,	PUNCT
ejpam-2596	582	15	then	then	ADV
ejpam-2596	582	16	x	x	X
ejpam-2596	582	17	=	=	SYM
ejpam-2596	582	18	(	(	PUNCT
ejpam-2596	582	19	x	x	SYM
ejpam-2596	582	20	j	j	NOUN
ejpam-2596	582	21	)	)	PUNCT
ejpam-2596	582	22	is	be	AUX
ejpam-2596	582	23	g	g	NOUN
ejpam-2596	582	24	-	-	PUNCT
ejpam-2596	582	25	statistically	statistically	ADV
ejpam-2596	582	26	convergent	convergent	ADJ
ejpam-2596	582	27	to	to	ADP
ejpam-2596	582	28	λ	λ	PROPN
ejpam-2596	582	29	in	in	ADP
ejpam-2596	582	30	�	�	PROPN
ejpam-2596	582	31	�	�	PROPN
ejpam-2596	582	32	m	m	PRON
ejpam-2596	582	33	,	,	PUNCT
ejpam-2596	583	1	[	[	X
ejpam-2596	583	2	f	f	X
ejpam-2596	583	3	]	]	X
ejpam-2596	583	4	,	,	PUNCT
ejpam-2596	583	5	p,‖	p,‖	PROPN
ejpam-2596	583	6	·	·	PUNCT
ejpam-2596	583	7	,	,	PUNCT
ejpam-2596	583	8	.	.	PUNCT
ejpam-2596	583	9	.	.	PUNCT
ejpam-2596	583	10	.	.	PUNCT
ejpam-2596	584	1	,	,	PUNCT
ejpam-2596	584	2	·	·	PUNCT
ejpam-2596	584	3	‖	‖	PROPN
ejpam-2596	584	4	�	�	PROPN
ejpam-2596	584	5	,	,	PUNCT
ejpam-2596	584	6	g	g	PROPN
ejpam-2596	584	7	�	�	PROPN
ejpam-2596	584	8	.	.	PUNCT
ejpam-2596	585	1	proof	proof	NOUN
ejpam-2596	585	2	.	.	PUNCT
ejpam-2596	586	1	let	let	VERB
ejpam-2596	586	2	x	x	SYM
ejpam-2596	586	3	j	j	PROPN
ejpam-2596	586	4	→	→	SYM
ejpam-2596	586	5	λ[c	λ[c	X
ejpam-2596	586	6	,	,	PUNCT
ejpam-2596	586	7	g]p	g]p	PROPN
ejpam-2596	586	8	,	,	PUNCT
ejpam-2596	586	9	then	then	ADV
ejpam-2596	586	10	1	1	NUM
ejpam-2596	586	11	k	k	NOUN
ejpam-2596	586	12	k	k	NOUN
ejpam-2596	586	13	∑	∑	PUNCT
ejpam-2596	586	14	j=1	j=1	PROPN
ejpam-2596	586	15	(	(	PUNCT
ejpam-2596	586	16	g(x	g(x	X
ejpam-2596	586	17	j	j	PROPN
ejpam-2596	586	18	−λe))p	−λe))p	PROPN
ejpam-2596	586	19	≥	≥	NUM
ejpam-2596	586	20	1	1	NUM
ejpam-2596	587	1	k	k	NOUN
ejpam-2596	587	2	k	k	NOUN
ejpam-2596	587	3	∑	∑	PUNCT
ejpam-2596	587	4	j=1	j=1	PROPN
ejpam-2596	587	5	g(x	g(x	PROPN
ejpam-2596	588	1	j−λe)≥ε	j−λe)≥ε	NOUN
ejpam-2596	588	2	(	(	PUNCT
ejpam-2596	588	3	g(x	g(x	NOUN
ejpam-2596	588	4	j	j	PROPN
ejpam-2596	588	5	−λe))p	−λe))p	PROPN
ejpam-2596	588	6	≥	≥	NUM
ejpam-2596	588	7	εp	εp	ADP
ejpam-2596	588	8	k	k	PROPN
ejpam-2596	588	9	|kε|	|kε|	PROPN
ejpam-2596	588	10	.	.	PUNCT
ejpam-2596	589	1	since	since	SCONJ
ejpam-2596	589	2	limk→∞	limk→∞	PROPN
ejpam-2596	589	3	1	1	NUM
ejpam-2596	589	4	k	k	PROPN
ejpam-2596	589	5	|kε|	|kε|	PROPN
ejpam-2596	589	6	=	=	SYM
ejpam-2596	589	7	0	0	NUM
ejpam-2596	589	8	and	and	CCONJ
ejpam-2596	589	9	so	so	ADV
ejpam-2596	589	10	δ(kε	δ(kε	NOUN
ejpam-2596	589	11	)	)	PUNCT
ejpam-2596	589	12	=	=	SYM
ejpam-2596	589	13	0	0	NUM
ejpam-2596	589	14	,	,	PUNCT
ejpam-2596	589	15	where	where	SCONJ
ejpam-2596	589	16	kε	kε	PROPN
ejpam-2596	589	17	=	=	X
ejpam-2596	589	18	{	{	PUNCT
ejpam-2596	589	19	j	j	PROPN
ejpam-2596	589	20	≤	≤	PROPN
ejpam-2596	589	21	k	k	NOUN
ejpam-2596	589	22	:	:	PUNCT
ejpam-2596	589	23	g(x	g(x	ADJ
ejpam-2596	589	24	j	j	PROPN
ejpam-2596	589	25	−	−	PROPN
ejpam-2596	589	26	λe	λe	NOUN
ejpam-2596	589	27	)	)	PUNCT
ejpam-2596	589	28	≥	≥	NOUN
ejpam-2596	589	29	ε	ε	NOUN
ejpam-2596	589	30	}	}	PUNCT
ejpam-2596	589	31	.	.	PUNCT
ejpam-2596	590	1	hence	hence	ADV
ejpam-2596	590	2	x	x	X
ejpam-2596	590	3	=	=	SYM
ejpam-2596	590	4	(	(	PUNCT
ejpam-2596	590	5	x	x	SYM
ejpam-2596	590	6	j	j	NOUN
ejpam-2596	590	7	)	)	PUNCT
ejpam-2596	590	8	is	be	AUX
ejpam-2596	590	9	statistically	statistically	ADV
ejpam-2596	590	10	convergent	convergent	ADJ
ejpam-2596	590	11	to	to	ADP
ejpam-2596	590	12	λ	λ	PROPN
ejpam-2596	590	13	in	in	ADP
ejpam-2596	590	14	�	�	PROPN
ejpam-2596	590	15	�	�	PROPN
ejpam-2596	590	16	m	m	PRON
ejpam-2596	590	17	,	,	PUNCT
ejpam-2596	591	1	[	[	X
ejpam-2596	591	2	f	f	X
ejpam-2596	591	3	]	]	X
ejpam-2596	591	4	,	,	PUNCT
ejpam-2596	591	5	p,‖	p,‖	PROPN
ejpam-2596	591	6	·	·	PUNCT
ejpam-2596	591	7	,	,	PUNCT
ejpam-2596	591	8	.	.	PUNCT
ejpam-2596	591	9	.	.	PUNCT
ejpam-2596	591	10	.	.	PUNCT
ejpam-2596	592	1	,	,	PUNCT
ejpam-2596	592	2	·	·	PUNCT
ejpam-2596	592	3	‖	‖	PROPN
ejpam-2596	592	4	�	�	PROPN
ejpam-2596	592	5	,	,	PUNCT
ejpam-2596	592	6	g	g	PROPN
ejpam-2596	592	7	�	�	PROPN
ejpam-2596	592	8	.	.	PUNCT
ejpam-2596	593	1	theorem	theorem	VERB
ejpam-2596	593	2	9	9	NUM
ejpam-2596	593	3	.	.	PUNCT
ejpam-2596	594	1	if	if	SCONJ
ejpam-2596	594	2	x	x	PRON
ejpam-2596	594	3	=	=	PRON
ejpam-2596	594	4	(	(	PUNCT
ejpam-2596	594	5	x	x	SYM
ejpam-2596	594	6	j	j	NOUN
ejpam-2596	594	7	)	)	PUNCT
ejpam-2596	594	8	is	be	AUX
ejpam-2596	594	9	g	g	NOUN
ejpam-2596	594	10	-	-	PUNCT
ejpam-2596	594	11	statistically	statistically	ADV
ejpam-2596	594	12	convergent	convergent	ADJ
ejpam-2596	594	13	to	to	ADP
ejpam-2596	594	14	λ	λ	PROPN
ejpam-2596	594	15	in	in	ADP
ejpam-2596	594	16	�	�	PROPN
ejpam-2596	594	17	�	�	PROPN
ejpam-2596	594	18	m	m	PRON
ejpam-2596	594	19	,	,	PUNCT
ejpam-2596	595	1	[	[	X
ejpam-2596	595	2	f	f	X
ejpam-2596	595	3	]	]	X
ejpam-2596	595	4	,	,	PUNCT
ejpam-2596	595	5	p,‖	p,‖	PROPN
ejpam-2596	595	6	·	·	PUNCT
ejpam-2596	595	7	,	,	PUNCT
ejpam-2596	595	8	.	.	PUNCT
ejpam-2596	595	9	.	.	PUNCT
ejpam-2596	595	10	.	.	PUNCT
ejpam-2596	596	1	,	,	PUNCT
ejpam-2596	596	2	·	·	PUNCT
ejpam-2596	596	3	‖	‖	PROPN
ejpam-2596	596	4	�	�	PROPN
ejpam-2596	596	5	,	,	PUNCT
ejpam-2596	596	6	g	g	PROPN
ejpam-2596	596	7	�	�	PROPN
ejpam-2596	597	1	then	then	ADV
ejpam-2596	597	2	x	x	PROPN
ejpam-2596	597	3	j	j	PROPN
ejpam-2596	597	4	→	→	SYM
ejpam-2596	597	5	λ[c	λ[c	X
ejpam-2596	597	6	,	,	PUNCT
ejpam-2596	597	7	g]p	g]p	ADJ
ejpam-2596	597	8	.	.	PUNCT
ejpam-2596	597	9	proof	proof	NOUN
ejpam-2596	597	10	.	.	PUNCT
ejpam-2596	598	1	suppose	suppose	VERB
ejpam-2596	598	2	that	that	SCONJ
ejpam-2596	598	3	x	x	X
ejpam-2596	598	4	=	=	PRON
ejpam-2596	598	5	(	(	PUNCT
ejpam-2596	598	6	x	x	SYM
ejpam-2596	598	7	j	j	NOUN
ejpam-2596	598	8	)	)	PUNCT
ejpam-2596	598	9	is	be	AUX
ejpam-2596	598	10	g	g	NOUN
ejpam-2596	598	11	-	-	PUNCT
ejpam-2596	598	12	statistically	statistically	ADV
ejpam-2596	598	13	convergent	convergent	ADJ
ejpam-2596	598	14	to	to	ADP
ejpam-2596	598	15	λ	λ	PROPN
ejpam-2596	598	16	in	in	ADP
ejpam-2596	598	17	�	�	PROPN
ejpam-2596	598	18	�	�	PROPN
ejpam-2596	598	19	m	m	PRON
ejpam-2596	598	20	,	,	PUNCT
ejpam-2596	599	1	[	[	X
ejpam-2596	599	2	f	f	X
ejpam-2596	599	3	]	]	X
ejpam-2596	599	4	,	,	PUNCT
ejpam-2596	599	5	p,‖	p,‖	PROPN
ejpam-2596	599	6	·	·	PUNCT
ejpam-2596	599	7	,	,	PUNCT
ejpam-2596	599	8	.	.	PUNCT
ejpam-2596	599	9	.	.	PUNCT
ejpam-2596	599	10	.	.	PUNCT
ejpam-2596	600	1	,	,	PUNCT
ejpam-2596	600	2	·	·	PUNCT
ejpam-2596	600	3	‖	‖	PROPN
ejpam-2596	600	4	�	�	PROPN
ejpam-2596	600	5	,	,	PUNCT
ejpam-2596	600	6	g	g	PROPN
ejpam-2596	600	7	�	�	PROPN
ejpam-2596	600	8	.	.	PUNCT
ejpam-2596	601	1	then	then	ADV
ejpam-2596	601	2	for	for	ADP
ejpam-2596	601	3	ε	ε	PROPN
ejpam-2596	601	4	>	>	X
ejpam-2596	601	5	0	0	PROPN
ejpam-2596	601	6	,	,	PUNCT
ejpam-2596	601	7	we	we	PRON
ejpam-2596	601	8	have	have	VERB
ejpam-2596	601	9	δ(kε	δ(kε	NOUN
ejpam-2596	601	10	)	)	PUNCT
ejpam-2596	601	11	=	=	SYM
ejpam-2596	601	12	0	0	NUM
ejpam-2596	601	13	,	,	PUNCT
ejpam-2596	601	14	where	where	SCONJ
ejpam-2596	601	15	kε	kε	PROPN
ejpam-2596	601	16	=	=	X
ejpam-2596	601	17	{	{	PUNCT
ejpam-2596	601	18	j	j	PROPN
ejpam-2596	601	19	≤	≤	PROPN
ejpam-2596	602	1	k	k	NOUN
ejpam-2596	602	2	:	:	PUNCT
ejpam-2596	603	1	g(x	g(x	PROPN
ejpam-2596	603	2	j	j	PROPN
ejpam-2596	603	3	−λe)≥	−λe)≥	X
ejpam-2596	603	4	ε	ε	PROPN
ejpam-2596	603	5	}	}	PUNCT
ejpam-2596	603	6	.	.	PUNCT
ejpam-2596	604	1	since	since	SCONJ
ejpam-2596	604	2	x	x	PROPN
ejpam-2596	604	3	=	=	PRON
ejpam-2596	604	4	(	(	PUNCT
ejpam-2596	604	5	x	x	SYM
ejpam-2596	604	6	j	j	PROPN
ejpam-2596	604	7	)	)	PUNCT
ejpam-2596	604	8	∈	∈	PROPN
ejpam-2596	604	9	l∞(m	l∞(m	NOUN
ejpam-2596	604	10	,	,	PUNCT
ejpam-2596	604	11	p,‖	p,‖	PROPN
ejpam-2596	604	12	·	·	PUNCT
ejpam-2596	604	13	,	,	PUNCT
ejpam-2596	604	14	.	.	PUNCT
ejpam-2596	604	15	.	.	PUNCT
ejpam-2596	604	16	.	.	PUNCT
ejpam-2596	605	1	,	,	PUNCT
ejpam-2596	605	2	·	·	PUNCT
ejpam-2596	605	3	‖	‖	NUM
ejpam-2596	605	4	)	)	PUNCT
ejpam-2596	605	5	,	,	PUNCT
ejpam-2596	605	6	then	then	ADV
ejpam-2596	605	7	there	there	PRON
ejpam-2596	605	8	exists	exist	VERB
ejpam-2596	605	9	k	k	PROPN
ejpam-2596	605	10	>	>	X
ejpam-2596	605	11	0	0	NUM
ejpam-2596	606	1	such	such	ADJ
ejpam-2596	606	2	that	that	SCONJ
ejpam-2596	606	3	�	�	PROPN
ejpam-2596	606	4	m	m	PROPN
ejpam-2596	606	5	�	�	PROPN
ejpam-2596	606	6	x	x	PUNCT
ejpam-2596	606	7	j	j	PROPN
ejpam-2596	606	8	−λe	−λe	PROPN
ejpam-2596	606	9	ρ	ρ	PROPN
ejpam-2596	606	10	,	,	PUNCT
ejpam-2596	606	11	z1	z1	PROPN
ejpam-2596	606	12	,	,	PUNCT
ejpam-2596	606	13	.	.	PUNCT
ejpam-2596	606	14	.	.	PUNCT
ejpam-2596	606	15	.	.	PUNCT
ejpam-2596	607	1	,	,	PUNCT
ejpam-2596	607	2	zn−1	zn−1	PROPN
ejpam-2596	607	3	�	�	PROPN
ejpam-2596	607	4	�	�	PROPN
ejpam-2596	607	5	pk	pk	NOUN
ejpam-2596	607	6	≤	≤	PROPN
ejpam-2596	607	7	k	k	X
ejpam-2596	607	8	,	,	PUNCT
ejpam-2596	607	9	for	for	ADP
ejpam-2596	607	10	all	all	DET
ejpam-2596	607	11	j.	j.	PROPN
ejpam-2596	607	12	thus	thus	ADV
ejpam-2596	607	13	,	,	PUNCT
ejpam-2596	607	14	g(x	g(x	PROPN
ejpam-2596	607	15	j	j	NOUN
ejpam-2596	607	16	−λe	−λe	NOUN
ejpam-2596	607	17	)	)	PUNCT
ejpam-2596	607	18	=	=	NOUN
ejpam-2596	607	19	sup	sup	NOUN
ejpam-2596	607	20	n≥1	n≥1	NOUN
ejpam-2596	607	21	,	,	PUNCT
ejpam-2596	607	22	q≥1	q≥1	PROPN
ejpam-2596	607	23	0	0	NUM
ejpam-2596	608	1	6	6	NUM
ejpam-2596	608	2	=	=	NOUN
ejpam-2596	608	3	z1,	z1,	NOUN
ejpam-2596	608	4	...	...	PUNCT
ejpam-2596	608	5	,zn−1∈x	,zn−1∈x	PUNCT
ejpam-2596	608	6	�	�	PROPN
ejpam-2596	608	7	1	1	NUM
ejpam-2596	608	8	n	n	NUM
ejpam-2596	608	9	q+n−1	q+n−1	PROPN
ejpam-2596	608	10	∑	∑	PROPN
ejpam-2596	608	11	j	j	PROPN
ejpam-2596	608	12	=	=	PROPN
ejpam-2596	608	13	q	q	PROPN
ejpam-2596	608	14	�	�	PROPN
ejpam-2596	608	15	m	m	PROPN
ejpam-2596	608	16	�	�	PROPN
ejpam-2596	608	17	x	x	PUNCT
ejpam-2596	608	18	j	j	PROPN
ejpam-2596	608	19	−λe	−λe	PROPN
ejpam-2596	608	20	ρ	ρ	PROPN
ejpam-2596	608	21	,	,	PUNCT
ejpam-2596	608	22	z1	z1	PROPN
ejpam-2596	608	23	,	,	PUNCT
ejpam-2596	608	24	.	.	PUNCT
ejpam-2596	608	25	.	.	PUNCT
ejpam-2596	609	1	.	.	PUNCT
ejpam-2596	610	1	,	,	PUNCT
ejpam-2596	610	2	zn−1	zn−1	PROPN
ejpam-2596	610	3	�	�	PROPN
ejpam-2596	610	4	�	�	PROPN
ejpam-2596	610	5	pk	pk	NOUN
ejpam-2596	610	6	�	�	PROPN
ejpam-2596	610	7	≤	≤	PROPN
ejpam-2596	610	8	k	k	PROPN
ejpam-2596	610	9	.	.	PUNCT
ejpam-2596	611	1	hence	hence	ADV
ejpam-2596	611	2	we	we	PRON
ejpam-2596	611	3	have	have	VERB
ejpam-2596	611	4	result	result	NOUN
ejpam-2596	611	5	from	from	ADP
ejpam-2596	611	6	the	the	DET
ejpam-2596	611	7	following	follow	VERB
ejpam-2596	611	8	inequality	inequality	NOUN
ejpam-2596	611	9	1	1	NUM
ejpam-2596	611	10	k	k	NOUN
ejpam-2596	611	11	k	k	NOUN
ejpam-2596	611	12	∑	∑	PUNCT
ejpam-2596	611	13	j=1	j=1	PROPN
ejpam-2596	611	14	(	(	PUNCT
ejpam-2596	611	15	g(x	g(x	NOUN
ejpam-2596	611	16	j	j	NOUN
ejpam-2596	612	1	−λe))p	−λe))p	NOUN
ejpam-2596	612	2	=	=	PUNCT
ejpam-2596	612	3	1	1	NUM
ejpam-2596	612	4	k	k	X
ejpam-2596	612	5	k	k	NOUN
ejpam-2596	612	6	∑	∑	PUNCT
ejpam-2596	612	7	j=1	j=1	PROPN
ejpam-2596	612	8	j	j	PROPN
ejpam-2596	612	9	/∈kε	/∈kε	PUNCT
ejpam-2596	613	1	(	(	PUNCT
ejpam-2596	613	2	g(x	g(x	NOUN
ejpam-2596	613	3	j	j	NOUN
ejpam-2596	613	4	−λe))p	−λe))p	NOUN
ejpam-2596	613	5	+	+	CCONJ
ejpam-2596	613	6	1	1	NUM
ejpam-2596	613	7	k	k	X
ejpam-2596	613	8	k	k	NOUN
ejpam-2596	613	9	∑	∑	PUNCT
ejpam-2596	613	10	j=1	j=1	PROPN
ejpam-2596	613	11	j∈kε	j∈kε	PROPN
ejpam-2596	613	12	(	(	PUNCT
ejpam-2596	613	13	g(x	g(x	X
ejpam-2596	613	14	j	j	NOUN
ejpam-2596	613	15	−λe))p	−λe))p	PROPN
ejpam-2596	613	16	≤εp	≤εp	PROPN
ejpam-2596	614	1	+	+	CCONJ
ejpam-2596	614	2	k	k	PROPN
ejpam-2596	614	3	p	p	X
ejpam-2596	614	4	k	k	PROPN
ejpam-2596	614	5	|kε|	|kε|	PROPN
ejpam-2596	614	6	.	.	PUNCT
ejpam-2596	615	1	let	let	VERB
ejpam-2596	615	2	a	a	PRON
ejpam-2596	615	3	and	and	CCONJ
ejpam-2596	615	4	b	b	NOUN
ejpam-2596	615	5	be	be	AUX
ejpam-2596	615	6	two	two	NUM
ejpam-2596	615	7	sequence	sequence	NOUN
ejpam-2596	615	8	spaces	space	NOUN
ejpam-2596	615	9	.	.	PUNCT
ejpam-2596	616	1	we	we	PRON
ejpam-2596	616	2	use	use	VERB
ejpam-2596	616	3	the	the	DET
ejpam-2596	616	4	notation	notation	NOUN
ejpam-2596	616	5	areg	areg	NOUN
ejpam-2596	616	6	⊂	⊂	PRON
ejpam-2596	616	7	breg	breg	PROPN
ejpam-2596	616	8	to	to	PART
ejpam-2596	616	9	mean	mean	VERB
ejpam-2596	616	10	if	if	SCONJ
ejpam-2596	616	11	the	the	DET
ejpam-2596	616	12	sequence	sequence	NOUN
ejpam-2596	616	13	x	x	PRON
ejpam-2596	616	14	converges	converge	VERB
ejpam-2596	616	15	to	to	ADP
ejpam-2596	616	16	a	a	DET
ejpam-2596	616	17	limit	limit	NOUN
ejpam-2596	616	18	λ	λ	NOUN
ejpam-2596	616	19	in	in	ADP
ejpam-2596	616	20	a	a	DET
ejpam-2596	616	21	then	then	ADV
ejpam-2596	616	22	the	the	DET
ejpam-2596	616	23	sequence	sequence	NOUN
ejpam-2596	616	24	x	x	PRON
ejpam-2596	616	25	converges	converge	VERB
ejpam-2596	616	26	to	to	ADP
ejpam-2596	616	27	the	the	DET
ejpam-2596	616	28	same	same	ADJ
ejpam-2596	616	29	limit	limit	NOUN
ejpam-2596	616	30	in	in	ADP
ejpam-2596	616	31	b.	b.	PROPN
ejpam-2596	616	32	references	reference	NOUN
ejpam-2596	616	33	477	477	NUM
ejpam-2596	616	34	theorem	theorem	VERB
ejpam-2596	616	35	10	10	NUM
ejpam-2596	616	36	.	.	PUNCT
ejpam-2596	617	1	(	(	PUNCT
ejpam-2596	617	2	s	s	PROPN
ejpam-2596	617	3	�	�	PROPN
ejpam-2596	617	4	�	�	PROPN
ejpam-2596	617	5	m	m	PRON
ejpam-2596	617	6	,	,	PUNCT
ejpam-2596	617	7	[	[	X
ejpam-2596	617	8	f],p,‖·,	f],p,‖·,	X
ejpam-2596	617	9	...	...	SYM
ejpam-2596	617	10	,·‖	,·‖	PUNCT
ejpam-2596	617	11	�	�	PROPN
ejpam-2596	617	12	,	,	PUNCT
ejpam-2596	617	13	g	g	PROPN
ejpam-2596	617	14	�	�	PROPN
ejpam-2596	617	15	)	)	PUNCT
ejpam-2596	617	16	reg	reg	NOUN
ejpam-2596	617	17	=	=	SYM
ejpam-2596	617	18	(	(	PUNCT
ejpam-2596	617	19	[	[	X
ejpam-2596	617	20	c	c	X
ejpam-2596	617	21	,	,	PUNCT
ejpam-2596	617	22	g]p)reg	g]p)reg	PROPN
ejpam-2596	617	23	.	.	PUNCT
ejpam-2596	618	1	proof	proof	NOUN
ejpam-2596	618	2	.	.	PUNCT
ejpam-2596	619	1	the	the	DET
ejpam-2596	619	2	proof	proof	NOUN
ejpam-2596	619	3	can	can	AUX
ejpam-2596	619	4	be	be	AUX
ejpam-2596	619	5	done	do	VERB
ejpam-2596	619	6	by	by	ADP
ejpam-2596	619	7	combining	combine	VERB
ejpam-2596	619	8	theorem	theorem	ADJ
ejpam-2596	619	9	8	8	NUM
ejpam-2596	619	10	with	with	ADP
ejpam-2596	619	11	theorem	theorem	ADJ
ejpam-2596	619	12	9	9	NUM
ejpam-2596	619	13	so	so	CCONJ
ejpam-2596	619	14	we	we	PRON
ejpam-2596	619	15	omit	omit	VERB
ejpam-2596	619	16	it	it	PRON
ejpam-2596	619	17	.	.	PUNCT
ejpam-2596	620	1	acknowledgements	acknowledgement	VERB
ejpam-2596	620	2	the	the	DET
ejpam-2596	620	3	authors	author	NOUN
ejpam-2596	620	4	thank	thank	VERB
ejpam-2596	620	5	the	the	DET
ejpam-2596	620	6	referee	referee	NOUN
ejpam-2596	620	7	for	for	ADP
ejpam-2596	620	8	their	their	PRON
ejpam-2596	620	9	valuable	valuable	ADJ
ejpam-2596	620	10	suggestions	suggestion	NOUN
ejpam-2596	620	11	which	which	PRON
ejpam-2596	620	12	improve	improve	VERB
ejpam-2596	620	13	the	the	DET
ejpam-2596	620	14	presentation	presentation	NOUN
ejpam-2596	620	15	of	of	ADP
ejpam-2596	620	16	the	the	DET
ejpam-2596	620	17	paper	paper	NOUN
ejpam-2596	620	18	.	.	PUNCT
ejpam-2596	621	1	references	reference	NOUN
ejpam-2596	621	2	[	[	X
ejpam-2596	621	3	1	1	X
ejpam-2596	621	4	]	]	PUNCT
ejpam-2596	621	5	a	a	DET
ejpam-2596	621	6	alotaibi	alotaibi	NOUN
ejpam-2596	621	7	and	and	CCONJ
ejpam-2596	621	8	a	a	DET
ejpam-2596	621	9	m	m	NOUN
ejpam-2596	621	10	alroqi	alroqi	NOUN
ejpam-2596	621	11	.	.	PUNCT
ejpam-2596	622	1	statistical	statistical	ADJ
ejpam-2596	622	2	convergence	convergence	NOUN
ejpam-2596	622	3	in	in	ADP
ejpam-2596	622	4	a	a	DET
ejpam-2596	622	5	paranormed	paranorme	VERB
ejpam-2596	622	6	space	space	NOUN
ejpam-2596	622	7	.	.	PUNCT
ejpam-2596	623	1	journal	journal	PROPN
ejpam-2596	623	2	of	of	ADP
ejpam-2596	623	3	inequalities	inequality	NOUN
ejpam-2596	623	4	and	and	CCONJ
ejpam-2596	623	5	applications	application	NOUN
ejpam-2596	623	6	,	,	PUNCT
ejpam-2596	623	7	39	39	NUM
ejpam-2596	623	8	,	,	PUNCT
ejpam-2596	623	9	2012	2012	NUM
ejpam-2596	623	10	.	.	PUNCT
ejpam-2596	624	1	[	[	X
ejpam-2596	624	2	2	2	NUM
ejpam-2596	624	3	]	]	SYM
ejpam-2596	624	4	s	s	NOUN
ejpam-2596	624	5	altundaǧ.	altundaǧ.	NOUN
ejpam-2596	624	6	on	on	ADP
ejpam-2596	624	7	generalized	generalized	ADJ
ejpam-2596	624	8	difference	difference	NOUN
ejpam-2596	624	9	lacunary	lacunary	ADJ
ejpam-2596	624	10	statistical	statistical	ADJ
ejpam-2596	624	11	convergence	convergence	NOUN
ejpam-2596	624	12	in	in	ADP
ejpam-2596	624	13	a	a	DET
ejpam-2596	624	14	paranormed	paranorme	VERB
ejpam-2596	624	15	space	space	NOUN
ejpam-2596	624	16	.	.	PUNCT
ejpam-2596	625	1	journal	journal	PROPN
ejpam-2596	625	2	of	of	ADP
ejpam-2596	625	3	inequalities	inequality	NOUN
ejpam-2596	625	4	and	and	CCONJ
ejpam-2596	625	5	applications	application	NOUN
ejpam-2596	625	6	,	,	PUNCT
ejpam-2596	625	7	256	256	NUM
ejpam-2596	625	8	,	,	PUNCT
ejpam-2596	625	9	2013	2013	NUM
ejpam-2596	625	10	.	.	PUNCT
ejpam-2596	626	1	[	[	X
ejpam-2596	626	2	3	3	NUM
ejpam-2596	626	3	]	]	PUNCT
ejpam-2596	626	4	m	m	NOUN
ejpam-2596	626	5	başarir	başarir	NOUN
ejpam-2596	626	6	.	.	PUNCT
ejpam-2596	627	1	on	on	ADP
ejpam-2596	627	2	some	some	DET
ejpam-2596	627	3	new	new	ADJ
ejpam-2596	627	4	sequence	sequence	NOUN
ejpam-2596	627	5	spaces	space	VERB
ejpam-2596	627	6	.	.	PUNCT
ejpam-2596	628	1	rivista	rivista	PROPN
ejpam-2596	628	2	di	di	PROPN
ejpam-2596	628	3	matematica	matematica	PROPN
ejpam-2596	628	4	della	della	PROPN
ejpam-2596	628	5	università	università	PROPN
ejpam-2596	628	6	di	di	PROPN
ejpam-2596	628	7	parma	parma	PROPN
ejpam-2596	628	8	,	,	PUNCT
ejpam-2596	628	9	51(1):339–347	51(1):339–347	PROPN
ejpam-2596	628	10	,	,	PUNCT
ejpam-2596	628	11	1992	1992	NUM
ejpam-2596	628	12	.	.	PUNCT
ejpam-2596	629	1	[	[	X
ejpam-2596	629	2	4	4	NUM
ejpam-2596	629	3	]	]	PUNCT
ejpam-2596	629	4	m	m	VERB
ejpam-2596	629	5	başarir	başarir	NOUN
ejpam-2596	629	6	,	,	PUNCT
ejpam-2596	629	7	ş	ş	NOUN
ejpam-2596	629	8	konca	konca	NOUN
ejpam-2596	629	9	,	,	PUNCT
ejpam-2596	629	10	and	and	CCONJ
ejpam-2596	629	11	e	e	NOUN
ejpam-2596	629	12	e	e	PROPN
ejpam-2596	629	13	kara	kara	PROPN
ejpam-2596	629	14	.	.	PUNCT
ejpam-2596	630	1	some	some	DET
ejpam-2596	630	2	generalized	generalized	ADJ
ejpam-2596	630	3	difference	difference	NOUN
ejpam-2596	630	4	statistically	statistically	ADV
ejpam-2596	630	5	convergent	convergent	ADJ
ejpam-2596	630	6	sequence	sequence	NOUN
ejpam-2596	630	7	spaces	space	NOUN
ejpam-2596	630	8	in	in	ADP
ejpam-2596	630	9	2−normed	2−normed	NUM
ejpam-2596	630	10	space	space	NOUN
ejpam-2596	630	11	.	.	PUNCT
ejpam-2596	631	1	journal	journal	PROPN
ejpam-2596	631	2	of	of	ADP
ejpam-2596	631	3	inequalities	inequality	NOUN
ejpam-2596	631	4	and	and	CCONJ
ejpam-2596	631	5	applications	application	NOUN
ejpam-2596	631	6	,	,	PUNCT
ejpam-2596	631	7	177:1–12	177:1–12	NUM
ejpam-2596	631	8	,	,	PUNCT
ejpam-2596	631	9	2013	2013	NUM
ejpam-2596	631	10	.	.	PUNCT
ejpam-2596	632	1	[	[	X
ejpam-2596	632	2	5	5	NUM
ejpam-2596	632	3	]	]	SYM
ejpam-2596	632	4	j	j	PROPN
ejpam-2596	632	5	s	s	PROPN
ejpam-2596	632	6	connor	connor	PROPN
ejpam-2596	632	7	.	.	PUNCT
ejpam-2596	633	1	the	the	DET
ejpam-2596	633	2	statistical	statistical	ADJ
ejpam-2596	633	3	and	and	CCONJ
ejpam-2596	633	4	strong	strong	ADJ
ejpam-2596	633	5	p−cesàro	p−cesàro	VERB
ejpam-2596	633	6	convergence	convergence	NOUN
ejpam-2596	633	7	of	of	ADP
ejpam-2596	633	8	sequences	sequence	NOUN
ejpam-2596	633	9	.	.	PUNCT
ejpam-2596	634	1	analysis	analysis	NOUN
ejpam-2596	634	2	,	,	PUNCT
ejpam-2596	634	3	8(1	8(1	PROPN
ejpam-2596	634	4	-	-	SYM
ejpam-2596	634	5	2):47–63	2):47–63	NUM
ejpam-2596	634	6	,	,	PUNCT
ejpam-2596	634	7	1988	1988	NUM
ejpam-2596	634	8	.	.	PUNCT
ejpam-2596	635	1	[	[	X
ejpam-2596	635	2	6	6	NUM
ejpam-2596	635	3	]	]	SYM
ejpam-2596	635	4	ş	ş	NOUN
ejpam-2596	635	5	konca	konca	NOUN
ejpam-2596	635	6	and	and	CCONJ
ejpam-2596	635	7	m	m	AUX
ejpam-2596	635	8	başarır	başarır	ADJ
ejpam-2596	635	9	.	.	PUNCT
ejpam-2596	636	1	almost	almost	ADV
ejpam-2596	636	2	convergent	convergent	ADJ
ejpam-2596	636	3	sequences	sequence	NOUN
ejpam-2596	636	4	in	in	ADP
ejpam-2596	636	5	2normed	2normed	NUM
ejpam-2596	636	6	space	space	NOUN
ejpam-2596	636	7	and	and	CCONJ
ejpam-2596	636	8	g−	g−	ADJ
ejpam-2596	636	9	statistical	statistical	ADJ
ejpam-2596	636	10	convergence	convergence	NOUN
ejpam-2596	636	11	.	.	PUNCT
ejpam-2596	637	1	journal	journal	PROPN
ejpam-2596	637	2	of	of	ADP
ejpam-2596	637	3	mathematical	mathematical	ADJ
ejpam-2596	637	4	analysis	analysis	NOUN
ejpam-2596	637	5	,	,	PUNCT
ejpam-2596	637	6	4(2):32–39	4(2):32–39	NUM
ejpam-2596	637	7	,	,	PUNCT
ejpam-2596	637	8	2013	2013	NUM
ejpam-2596	637	9	.	.	PUNCT
ejpam-2596	638	1	[	[	X
ejpam-2596	638	2	7	7	X
ejpam-2596	638	3	]	]	SYM
ejpam-2596	638	4	ş	ş	NOUN
ejpam-2596	638	5	konca	konca	NOUN
ejpam-2596	638	6	and	and	CCONJ
ejpam-2596	638	7	m	m	AUX
ejpam-2596	638	8	başarır	başarır	ADJ
ejpam-2596	638	9	.	.	PUNCT
ejpam-2596	639	1	on	on	ADP
ejpam-2596	639	2	some	some	DET
ejpam-2596	639	3	spaces	space	NOUN
ejpam-2596	639	4	of	of	ADP
ejpam-2596	639	5	almost	almost	ADV
ejpam-2596	639	6	lacunary	lacunary	ADJ
ejpam-2596	639	7	convergent	convergent	NOUN
ejpam-2596	639	8	sequences	sequence	NOUN
ejpam-2596	639	9	derived	derive	VERB
ejpam-2596	639	10	by	by	ADP
ejpam-2596	639	11	riesz	riesz	PROPN
ejpam-2596	639	12	mean	mean	NOUN
ejpam-2596	639	13	and	and	CCONJ
ejpam-2596	639	14	weighted	weight	VERB
ejpam-2596	639	15	almost	almost	ADV
ejpam-2596	639	16	lacunary	lacunary	ADJ
ejpam-2596	639	17	statistical	statistical	ADJ
ejpam-2596	639	18	convergence	convergence	NOUN
ejpam-2596	639	19	in	in	ADP
ejpam-2596	639	20	a	a	DET
ejpam-2596	639	21	real	real	ADJ
ejpam-2596	639	22	n−normed	n−norme	VERB
ejpam-2596	639	23	space	space	NOUN
ejpam-2596	639	24	.	.	PUNCT
ejpam-2596	640	1	journal	journal	PROPN
ejpam-2596	640	2	of	of	ADP
ejpam-2596	640	3	inequalities	inequality	NOUN
ejpam-2596	640	4	and	and	CCONJ
ejpam-2596	640	5	applications	application	NOUN
ejpam-2596	640	6	,	,	PUNCT
ejpam-2596	640	7	81	81	NUM
ejpam-2596	640	8	,	,	PUNCT
ejpam-2596	640	9	2014	2014	NUM
ejpam-2596	640	10	.	.	PUNCT
ejpam-2596	641	1	[	[	X
ejpam-2596	641	2	8	8	NUM
ejpam-2596	641	3	]	]	SYM
ejpam-2596	641	4	ş	ş	NOUN
ejpam-2596	641	5	konca	konca	NOUN
ejpam-2596	641	6	and	and	CCONJ
ejpam-2596	641	7	m	m	AUX
ejpam-2596	641	8	başarır	başarır	ADJ
ejpam-2596	641	9	.	.	PUNCT
ejpam-2596	642	1	on	on	ADP
ejpam-2596	642	2	some	some	DET
ejpam-2596	642	3	spaces	space	NOUN
ejpam-2596	642	4	of	of	ADP
ejpam-2596	642	5	almost	almost	ADV
ejpam-2596	642	6	lacunary	lacunary	ADJ
ejpam-2596	642	7	convergent	convergent	NOUN
ejpam-2596	642	8	sequences	sequence	NOUN
ejpam-2596	642	9	derived	derive	VERB
ejpam-2596	642	10	by	by	ADP
ejpam-2596	642	11	riesz	riesz	PROPN
ejpam-2596	642	12	mean	mean	NOUN
ejpam-2596	642	13	and	and	CCONJ
ejpam-2596	642	14	weighted	weight	VERB
ejpam-2596	642	15	almost	almost	ADV
ejpam-2596	642	16	lacunary	lacunary	ADJ
ejpam-2596	642	17	statistical	statistical	ADJ
ejpam-2596	642	18	convergence	convergence	NOUN
ejpam-2596	642	19	in	in	ADP
ejpam-2596	642	20	a	a	DET
ejpam-2596	642	21	real	real	ADJ
ejpam-2596	642	22	n−normed	n−norme	VERB
ejpam-2596	642	23	space	space	NOUN
ejpam-2596	642	24	.	.	PUNCT
ejpam-2596	643	1	journal	journal	PROPN
ejpam-2596	643	2	of	of	ADP
ejpam-2596	643	3	inequalities	inequality	NOUN
ejpam-2596	643	4	and	and	CCONJ
ejpam-2596	643	5	applications	application	NOUN
ejpam-2596	643	6	,	,	PUNCT
ejpam-2596	643	7	81	81	NUM
ejpam-2596	643	8	,	,	PUNCT
ejpam-2596	643	9	2014	2014	NUM
ejpam-2596	643	10	.	.	PUNCT
ejpam-2596	644	1	[	[	X
ejpam-2596	644	2	9	9	NUM
ejpam-2596	644	3	]	]	SYM
ejpam-2596	644	4	j	j	PROPN
ejpam-2596	644	5	p	p	PROPN
ejpam-2596	644	6	duran	duran	PROPN
ejpam-2596	644	7	.	.	PUNCT
ejpam-2596	644	8	infinite	infinite	ADJ
ejpam-2596	644	9	matrices	matrix	NOUN
ejpam-2596	644	10	and	and	CCONJ
ejpam-2596	644	11	almost	almost	ADV
ejpam-2596	644	12	convergence	convergence	NOUN
ejpam-2596	644	13	.	.	PUNCT
ejpam-2596	645	1	mathematische	mathematische	PROPN
ejpam-2596	645	2	zeitschrift	zeitschrift	NOUN
ejpam-2596	645	3	,	,	PUNCT
ejpam-2596	645	4	128(1):75–83	128(1):75–83	NUM
ejpam-2596	645	5	,	,	PUNCT
ejpam-2596	645	6	1972	1972	NUM
ejpam-2596	645	7	.	.	PUNCT
ejpam-2596	646	1	[	[	X
ejpam-2596	646	2	10	10	NUM
ejpam-2596	646	3	]	]	X
ejpam-2596	646	4	h	h	NOUN
ejpam-2596	646	5	fast	fast	ADV
ejpam-2596	646	6	.	.	PUNCT
ejpam-2596	647	1	sur	sur	PROPN
ejpam-2596	647	2	la	la	PROPN
ejpam-2596	647	3	convergence	convergence	NOUN
ejpam-2596	647	4	statistique	statistique	NOUN
ejpam-2596	647	5	.	.	PUNCT
ejpam-2596	648	1	colloquium	colloquium	NOUN
ejpam-2596	648	2	mathematicum	mathematicum	PROPN
ejpam-2596	648	3	,	,	PUNCT
ejpam-2596	648	4	2(1):241–244	2(1):241–244	NUM
ejpam-2596	648	5	,	,	PUNCT
ejpam-2596	648	6	1951	1951	NUM
ejpam-2596	648	7	.	.	PUNCT
ejpam-2596	649	1	[	[	X
ejpam-2596	649	2	11	11	NUM
ejpam-2596	649	3	]	]	PUNCT
ejpam-2596	649	4	a	a	DET
ejpam-2596	649	5	r	r	NOUN
ejpam-2596	649	6	freedman	freedman	PROPN
ejpam-2596	649	7	,	,	PUNCT
ejpam-2596	649	8	j	j	PROPN
ejpam-2596	649	9	j	j	PROPN
ejpam-2596	649	10	sember	sember	PROPN
ejpam-2596	649	11	,	,	PUNCT
ejpam-2596	649	12	and	and	CCONJ
ejpam-2596	649	13	m	m	PROPN
ejpam-2596	649	14	raphael	raphael	PROPN
ejpam-2596	649	15	.	.	PUNCT
ejpam-2596	650	1	some	some	DET
ejpam-2596	650	2	cesàro	cesàro	ADJ
ejpam-2596	650	3	-	-	PUNCT
ejpam-2596	650	4	type	type	NOUN
ejpam-2596	650	5	summability	summability	NOUN
ejpam-2596	650	6	spaces	space	NOUN
ejpam-2596	650	7	.	.	PUNCT
ejpam-2596	651	1	proceedings	proceeding	NOUN
ejpam-2596	651	2	of	of	ADP
ejpam-2596	651	3	the	the	DET
ejpam-2596	651	4	london	london	PROPN
ejpam-2596	651	5	mathematical	mathematical	ADJ
ejpam-2596	651	6	society	society	NOUN
ejpam-2596	651	7	,	,	PUNCT
ejpam-2596	651	8	37(3):508–520	37(3):508–520	NUM
ejpam-2596	651	9	,	,	PUNCT
ejpam-2596	651	10	1978	1978	NUM
ejpam-2596	651	11	.	.	PUNCT
ejpam-2596	652	1	[	[	X
ejpam-2596	652	2	12	12	NUM
ejpam-2596	652	3	]	]	X
ejpam-2596	652	4	j	j	PROPN
ejpam-2596	652	5	a	a	DET
ejpam-2596	652	6	fridy	fridy	NOUN
ejpam-2596	652	7	.	.	PUNCT
ejpam-2596	653	1	on	on	ADP
ejpam-2596	653	2	statistical	statistical	ADJ
ejpam-2596	653	3	convergence	convergence	NOUN
ejpam-2596	653	4	.	.	PUNCT
ejpam-2596	654	1	analysis	analysis	NOUN
ejpam-2596	654	2	,	,	PUNCT
ejpam-2596	654	3	5(4):301–313	5(4):301–313	NUM
ejpam-2596	654	4	,	,	PUNCT
ejpam-2596	654	5	1985	1985	NUM
ejpam-2596	654	6	.	.	PUNCT
ejpam-2596	655	1	[	[	X
ejpam-2596	655	2	13	13	NUM
ejpam-2596	655	3	]	]	SYM
ejpam-2596	655	4	s	s	PART
ejpam-2596	655	5	gähler	gähler	NOUN
ejpam-2596	655	6	.	.	PUNCT
ejpam-2596	656	1	linear	linear	ADJ
ejpam-2596	656	2	2	2	NUM
ejpam-2596	656	3	-	-	PUNCT
ejpam-2596	656	4	normietre	normietre	NOUN
ejpam-2596	656	5	rume	rume	NOUN
ejpam-2596	656	6	.	.	PUNCT
ejpam-2596	657	1	mathmatische	mathmatische	PROPN
ejpam-2596	657	2	nachrichten	nachrichten	PROPN
ejpam-2596	657	3	,	,	PUNCT
ejpam-2596	657	4	28(1	28(1	NOUN
ejpam-2596	657	5	-	-	PUNCT
ejpam-2596	657	6	2):1–43	2):1–43	NOUN
ejpam-2596	657	7	,	,	PUNCT
ejpam-2596	657	8	1965	1965	NUM
ejpam-2596	657	9	.	.	PUNCT
ejpam-2596	658	1	references	reference	NOUN
ejpam-2596	658	2	478	478	NUM
ejpam-2596	658	3	[	[	X
ejpam-2596	658	4	14	14	NUM
ejpam-2596	658	5	]	]	X
ejpam-2596	658	6	h	h	NOUN
ejpam-2596	658	7	gunawan	gunawan	PROPN
ejpam-2596	658	8	.	.	PUNCT
ejpam-2596	659	1	on	on	ADP
ejpam-2596	659	2	n	n	CCONJ
ejpam-2596	659	3	-	-	PUNCT
ejpam-2596	659	4	inner	inner	ADJ
ejpam-2596	659	5	product	product	NOUN
ejpam-2596	659	6	,	,	PUNCT
ejpam-2596	659	7	n	n	CCONJ
ejpam-2596	659	8	-	-	PUNCT
ejpam-2596	659	9	norms	norm	NOUN
ejpam-2596	659	10	,	,	PUNCT
ejpam-2596	659	11	and	and	CCONJ
ejpam-2596	659	12	the	the	DET
ejpam-2596	659	13	cauchy	cauchy	PROPN
ejpam-2596	659	14	-	-	PUNCT
ejpam-2596	659	15	schwartz	schwartz	PROPN
ejpam-2596	659	16	inequality	inequality	NOUN
ejpam-2596	659	17	.	.	PUNCT
ejpam-2596	660	1	scientiae	scientiae	PROPN
ejpam-2596	660	2	mathematicae	mathematicae	PROPN
ejpam-2596	660	3	japonicae	japonicae	PROPN
ejpam-2596	660	4	,	,	PUNCT
ejpam-2596	660	5	5(1):47–54	5(1):47–54	NUM
ejpam-2596	660	6	,	,	PUNCT
ejpam-2596	660	7	2001	2001	NUM
ejpam-2596	660	8	.	.	PUNCT
ejpam-2596	661	1	[	[	X
ejpam-2596	661	2	15	15	NUM
ejpam-2596	661	3	]	]	X
ejpam-2596	661	4	h	h	NOUN
ejpam-2596	661	5	gunawan	gunawan	PROPN
ejpam-2596	661	6	.	.	PUNCT
ejpam-2596	662	1	the	the	DET
ejpam-2596	662	2	space	space	NOUN
ejpam-2596	662	3	of	of	ADP
ejpam-2596	662	4	p	p	NOUN
ejpam-2596	662	5	-	-	PUNCT
ejpam-2596	662	6	summable	summable	ADJ
ejpam-2596	662	7	sequence	sequence	NOUN
ejpam-2596	662	8	and	and	CCONJ
ejpam-2596	662	9	its	its	PRON
ejpam-2596	662	10	natural	natural	ADJ
ejpam-2596	662	11	n	n	CCONJ
ejpam-2596	662	12	-	-	PUNCT
ejpam-2596	662	13	norm	norm	NOUN
ejpam-2596	662	14	.	.	PUNCT
ejpam-2596	663	1	bulletin	bulletin	NOUN
ejpam-2596	663	2	of	of	ADP
ejpam-2596	663	3	the	the	DET
ejpam-2596	663	4	australian	australian	ADJ
ejpam-2596	663	5	mathematical	mathematical	ADJ
ejpam-2596	663	6	society	society	NOUN
ejpam-2596	663	7	,	,	PUNCT
ejpam-2596	663	8	64(1):137–147	64(1):137–147	PROPN
ejpam-2596	663	9	,	,	PUNCT
ejpam-2596	663	10	2001	2001	NUM
ejpam-2596	663	11	.	.	PUNCT
ejpam-2596	664	1	[	[	X
ejpam-2596	664	2	16	16	NUM
ejpam-2596	664	3	]	]	X
ejpam-2596	664	4	h	h	NOUN
ejpam-2596	664	5	gunawan	gunawan	PROPN
ejpam-2596	664	6	and	and	CCONJ
ejpam-2596	664	7	m	m	PROPN
ejpam-2596	664	8	mashadi	mashadi	NOUN
ejpam-2596	664	9	.	.	PUNCT
ejpam-2596	665	1	on	on	ADP
ejpam-2596	665	2	n	n	ADV
ejpam-2596	665	3	-	-	PUNCT
ejpam-2596	665	4	normed	norme	VERB
ejpam-2596	665	5	spaces	space	NOUN
ejpam-2596	665	6	.	.	PUNCT
ejpam-2596	666	1	international	international	ADJ
ejpam-2596	666	2	journal	journal	PROPN
ejpam-2596	666	3	of	of	ADP
ejpam-2596	666	4	mathematics	mathematics	PROPN
ejpam-2596	666	5	and	and	CCONJ
ejpam-2596	666	6	mathematical	mathematical	ADJ
ejpam-2596	666	7	sciences	science	NOUN
ejpam-2596	666	8	,	,	PUNCT
ejpam-2596	666	9	27(10):631–639	27(10):631–639	NUM
ejpam-2596	666	10	,	,	PUNCT
ejpam-2596	666	11	2001	2001	NUM
ejpam-2596	666	12	.	.	PUNCT
ejpam-2596	667	1	[	[	X
ejpam-2596	667	2	17	17	NUM
ejpam-2596	667	3	]	]	X
ejpam-2596	667	4	j	j	PROPN
ejpam-2596	667	5	lindenstrauss	lindenstrauss	ADJ
ejpam-2596	667	6	and	and	CCONJ
ejpam-2596	667	7	l	l	NOUN
ejpam-2596	667	8	tzafriri	tzafriri	NOUN
ejpam-2596	667	9	.	.	PUNCT
ejpam-2596	668	1	on	on	ADP
ejpam-2596	668	2	orlicz	orlicz	ADJ
ejpam-2596	668	3	sequence	sequence	NOUN
ejpam-2596	668	4	spaces	space	VERB
ejpam-2596	668	5	.	.	PUNCT
ejpam-2596	669	1	israel	israel	PROPN
ejpam-2596	669	2	journal	journal	PROPN
ejpam-2596	669	3	of	of	ADP
ejpam-2596	669	4	mathematics	mathematics	PROPN
ejpam-2596	669	5	,	,	PUNCT
ejpam-2596	669	6	10(5):379–390	10(5):379–390	PROPN
ejpam-2596	669	7	,	,	PUNCT
ejpam-2596	669	8	1971	1971	NUM
ejpam-2596	669	9	.	.	PUNCT
ejpam-2596	670	1	[	[	X
ejpam-2596	670	2	18	18	NUM
ejpam-2596	670	3	]	]	X
ejpam-2596	670	4	g	g	PROPN
ejpam-2596	670	5	g	g	PROPN
ejpam-2596	670	6	lorentz	lorentz	PROPN
ejpam-2596	670	7	.	.	PUNCT
ejpam-2596	671	1	a	a	DET
ejpam-2596	671	2	contribution	contribution	NOUN
ejpam-2596	671	3	to	to	ADP
ejpam-2596	671	4	the	the	DET
ejpam-2596	671	5	theory	theory	NOUN
ejpam-2596	671	6	of	of	ADP
ejpam-2596	671	7	divergent	divergent	ADJ
ejpam-2596	671	8	sequences	sequence	NOUN
ejpam-2596	671	9	.	.	PUNCT
ejpam-2596	672	1	acta	acta	PROPN
ejpam-2596	672	2	mathematica	mathematica	PROPN
ejpam-2596	672	3	,	,	PUNCT
ejpam-2596	672	4	80(2):167–190	80(2):167–190	PROPN
ejpam-2596	672	5	,	,	PUNCT
ejpam-2596	672	6	1948	1948	NUM
ejpam-2596	672	7	.	.	PUNCT
ejpam-2596	673	1	[	[	X
ejpam-2596	673	2	19	19	NUM
ejpam-2596	673	3	]	]	X
ejpam-2596	673	4	i	i	PROPN
ejpam-2596	673	5	j	j	PROPN
ejpam-2596	673	6	maddox	maddox	PROPN
ejpam-2596	673	7	.	.	PUNCT
ejpam-2596	674	1	a	a	DET
ejpam-2596	674	2	new	new	ADJ
ejpam-2596	674	3	type	type	NOUN
ejpam-2596	674	4	of	of	ADP
ejpam-2596	674	5	convergence	convergence	NOUN
ejpam-2596	674	6	.	.	PUNCT
ejpam-2596	675	1	mathematical	mathematical	ADJ
ejpam-2596	675	2	proceedings	proceeding	NOUN
ejpam-2596	675	3	of	of	ADP
ejpam-2596	675	4	cambridge	cambridge	PROPN
ejpam-2596	675	5	philosiphical	philosiphical	ADJ
ejpam-2596	675	6	society	society	NOUN
ejpam-2596	675	7	,	,	PUNCT
ejpam-2596	675	8	83(2):61–64	83(2):61–64	NUM
ejpam-2596	675	9	,	,	PUNCT
ejpam-2596	675	10	1978	1978	NUM
ejpam-2596	675	11	.	.	PUNCT
ejpam-2596	676	1	[	[	X
ejpam-2596	676	2	20	20	NUM
ejpam-2596	676	3	]	]	X
ejpam-2596	676	4	i	i	PROPN
ejpam-2596	676	5	j	j	PROPN
ejpam-2596	676	6	maddox	maddox	PROPN
ejpam-2596	676	7	.	.	PUNCT
ejpam-2596	677	1	on	on	ADP
ejpam-2596	677	2	strong	strong	ADJ
ejpam-2596	677	3	almost	almost	ADV
ejpam-2596	677	4	convergence	convergence	NOUN
ejpam-2596	677	5	.	.	PUNCT
ejpam-2596	678	1	mathematical	mathematical	ADJ
ejpam-2596	678	2	proceedings	proceeding	NOUN
ejpam-2596	678	3	of	of	ADP
ejpam-2596	678	4	cambridge	cambridge	PROPN
ejpam-2596	678	5	philosiphical	philosiphical	ADJ
ejpam-2596	678	6	society	society	NOUN
ejpam-2596	678	7	,	,	PUNCT
ejpam-2596	678	8	85(1):345–350	85(1):345–350	PROPN
ejpam-2596	678	9	,	,	PUNCT
ejpam-2596	678	10	1979	1979	NUM
ejpam-2596	678	11	.	.	PUNCT
ejpam-2596	679	1	[	[	X
ejpam-2596	679	2	21	21	NUM
ejpam-2596	679	3	]	]	X
ejpam-2596	679	4	a	a	DET
ejpam-2596	679	5	misiak	misiak	NOUN
ejpam-2596	679	6	.	.	PUNCT
ejpam-2596	680	1	n	n	CCONJ
ejpam-2596	680	2	-	-	PUNCT
ejpam-2596	680	3	inner	inner	ADJ
ejpam-2596	680	4	product	product	NOUN
ejpam-2596	680	5	spaces	space	VERB
ejpam-2596	680	6	.	.	PUNCT
ejpam-2596	681	1	mathmatische	mathmatische	PROPN
ejpam-2596	681	2	nachrichten	nachrichten	PROPN
ejpam-2596	681	3	,	,	PUNCT
ejpam-2596	681	4	140(1):299–319	140(1):299–319	PROPN
ejpam-2596	681	5	,	,	PUNCT
ejpam-2596	681	6	1989	1989	NUM
ejpam-2596	681	7	.	.	PUNCT
ejpam-2596	682	1	[	[	X
ejpam-2596	682	2	22	22	NUM
ejpam-2596	682	3	]	]	X
ejpam-2596	682	4	m	m	VERB
ejpam-2596	682	5	mursaleen	mursaleen	PROPN
ejpam-2596	682	6	.	.	PUNCT
ejpam-2596	683	1	generalized	generalized	ADJ
ejpam-2596	683	2	spaces	space	NOUN
ejpam-2596	683	3	of	of	ADP
ejpam-2596	683	4	difference	difference	NOUN
ejpam-2596	683	5	sequences	sequence	NOUN
ejpam-2596	683	6	.	.	PUNCT
ejpam-2596	684	1	journal	journal	PROPN
ejpam-2596	684	2	of	of	ADP
ejpam-2596	684	3	mathematical	mathematical	ADJ
ejpam-2596	684	4	analysis	analysis	NOUN
ejpam-2596	684	5	and	and	CCONJ
ejpam-2596	684	6	applications	application	NOUN
ejpam-2596	684	7	,	,	PUNCT
ejpam-2596	684	8	203(2):738–745	203(2):738–745	NUM
ejpam-2596	684	9	,	,	PUNCT
ejpam-2596	684	10	1996	1996	NUM
ejpam-2596	684	11	.	.	PUNCT
ejpam-2596	685	1	[	[	X
ejpam-2596	685	2	23	23	NUM
ejpam-2596	685	3	]	]	SYM
ejpam-2596	685	4	s	s	X
ejpam-2596	685	5	d	d	X
ejpam-2596	685	6	parasher	parasher	NOUN
ejpam-2596	685	7	and	and	CCONJ
ejpam-2596	685	8	b	b	PROPN
ejpam-2596	685	9	choudhary	choudhary	PROPN
ejpam-2596	685	10	.	.	PUNCT
ejpam-2596	686	1	sequence	sequence	NOUN
ejpam-2596	686	2	spaces	space	NOUN
ejpam-2596	686	3	defined	define	VERB
ejpam-2596	686	4	by	by	ADP
ejpam-2596	686	5	orlicz	orlicz	ADJ
ejpam-2596	686	6	function	function	NOUN
ejpam-2596	686	7	.	.	PUNCT
ejpam-2596	687	1	indian	indian	ADJ
ejpam-2596	687	2	journal	journal	PROPN
ejpam-2596	687	3	of	of	ADP
ejpam-2596	687	4	pure	pure	ADJ
ejpam-2596	687	5	and	and	CCONJ
ejpam-2596	687	6	applied	applied	ADJ
ejpam-2596	687	7	mathematics	mathematic	NOUN
ejpam-2596	687	8	,	,	PUNCT
ejpam-2596	687	9	25(4):419–428	25(4):419–428	PROPN
ejpam-2596	687	10	,	,	PUNCT
ejpam-2596	687	11	1994	1994	NUM
ejpam-2596	687	12	.	.	PUNCT
ejpam-2596	688	1	[	[	X
ejpam-2596	688	2	24	24	NUM
ejpam-2596	688	3	]	]	X
ejpam-2596	688	4	k	k	PROPN
ejpam-2596	688	5	raj	raj	PROPN
ejpam-2596	688	6	and	and	CCONJ
ejpam-2596	688	7	a	a	DET
ejpam-2596	688	8	kilicman	kilicman	NOUN
ejpam-2596	688	9	.	.	PUNCT
ejpam-2596	689	1	on	on	ADP
ejpam-2596	689	2	certain	certain	ADJ
ejpam-2596	689	3	generalized	generalized	ADJ
ejpam-2596	689	4	paranormed	paranorme	VERB
ejpam-2596	689	5	spaces	space	NOUN
ejpam-2596	689	6	.	.	PUNCT
ejpam-2596	690	1	journal	journal	PROPN
ejpam-2596	690	2	of	of	ADP
ejpam-2596	690	3	inequalities	inequality	NOUN
ejpam-2596	690	4	and	and	CCONJ
ejpam-2596	690	5	applications	application	NOUN
ejpam-2596	690	6	,	,	PUNCT
ejpam-2596	690	7	37	37	NUM
ejpam-2596	690	8	,	,	PUNCT
ejpam-2596	690	9	2015	2015	NUM
ejpam-2596	690	10	.	.	PUNCT
ejpam-2596	691	1	[	[	X
ejpam-2596	691	2	25	25	NUM
ejpam-2596	691	3	]	]	X
ejpam-2596	691	4	k	k	PROPN
ejpam-2596	691	5	raj	raj	PROPN
ejpam-2596	691	6	and	and	CCONJ
ejpam-2596	691	7	s	s	PROPN
ejpam-2596	691	8	k	k	PROPN
ejpam-2596	691	9	sharma	sharma	PROPN
ejpam-2596	691	10	.	.	PUNCT
ejpam-2596	692	1	applications	application	NOUN
ejpam-2596	692	2	of	of	ADP
ejpam-2596	692	3	double	double	ADJ
ejpam-2596	692	4	lacunary	lacunary	ADJ
ejpam-2596	692	5	sequences	sequence	NOUN
ejpam-2596	692	6	to	to	ADP
ejpam-2596	692	7	n	n	CCONJ
ejpam-2596	692	8	-	-	PUNCT
ejpam-2596	692	9	norm	norm	NOUN
ejpam-2596	692	10	.	.	PUNCT
ejpam-2596	693	1	acta	acta	PROPN
ejpam-2596	693	2	universitatis	universitatis	PROPN
ejpam-2596	693	3	sapientiae	sapientiae	PROPN
ejpam-2596	693	4	mathematica	mathematica	PROPN
ejpam-2596	693	5	,	,	PUNCT
ejpam-2596	693	6	7(1):67–88	7(1):67–88	NUM
ejpam-2596	693	7	,	,	PUNCT
ejpam-2596	693	8	2015	2015	NUM
ejpam-2596	693	9	.	.	PUNCT
ejpam-2596	694	1	[	[	X
ejpam-2596	694	2	26	26	NUM
ejpam-2596	694	3	]	]	X
ejpam-2596	694	4	k	k	PROPN
ejpam-2596	694	5	raj	raj	PROPN
ejpam-2596	694	6	,	,	PUNCT
ejpam-2596	694	7	s	s	PART
ejpam-2596	694	8	k	k	PROPN
ejpam-2596	694	9	sharma	sharma	PROPN
ejpam-2596	694	10	,	,	PUNCT
ejpam-2596	694	11	and	and	CCONJ
ejpam-2596	694	12	a	a	DET
ejpam-2596	694	13	k	k	PROPN
ejpam-2596	694	14	sharma	sharma	PROPN
ejpam-2596	694	15	.	.	PUNCT
ejpam-2596	695	1	some	some	DET
ejpam-2596	695	2	difference	difference	NOUN
ejpam-2596	695	3	sequence	sequence	NOUN
ejpam-2596	695	4	spaces	space	VERB
ejpam-2596	695	5	in	in	ADP
ejpam-2596	695	6	n	n	ADV
ejpam-2596	695	7	-	-	PUNCT
ejpam-2596	695	8	normed	norme	VERB
ejpam-2596	695	9	spaces	space	NOUN
ejpam-2596	695	10	defined	define	VERB
ejpam-2596	695	11	by	by	ADP
ejpam-2596	695	12	musielak	musielak	NOUN
ejpam-2596	695	13	-	-	PUNCT
ejpam-2596	695	14	orlicz	orlicz	ADJ
ejpam-2596	695	15	function	function	NOUN
ejpam-2596	695	16	.	.	PUNCT
ejpam-2596	696	1	armenian	armenian	ADJ
ejpam-2596	696	2	journal	journal	NOUN
ejpam-2596	696	3	of	of	ADP
ejpam-2596	696	4	mathematics	mathematic	NOUN
ejpam-2596	696	5	,	,	PUNCT
ejpam-2596	696	6	3(3):127	3(3):127	NUM
ejpam-2596	696	7	–	–	PUNCT
ejpam-2596	696	8	141	141	NUM
ejpam-2596	696	9	,	,	PUNCT
ejpam-2596	696	10	2010	2010	NUM
ejpam-2596	696	11	.	.	PUNCT
ejpam-2596	697	1	[	[	X
ejpam-2596	697	2	27	27	NUM
ejpam-2596	697	3	]	]	X
ejpam-2596	697	4	i	i	PRON
ejpam-2596	697	5	j	j	PROPN
ejpam-2596	697	6	schoenburg	schoenburg	PROPN
ejpam-2596	697	7	.	.	PUNCT
ejpam-2596	698	1	the	the	DET
ejpam-2596	698	2	integrability	integrability	NOUN
ejpam-2596	698	3	of	of	ADP
ejpam-2596	698	4	certain	certain	ADJ
ejpam-2596	698	5	fuctions	fuction	NOUN
ejpam-2596	698	6	and	and	CCONJ
ejpam-2596	698	7	related	relate	VERB
ejpam-2596	698	8	summability	summability	NOUN
ejpam-2596	698	9	methods	method	NOUN
ejpam-2596	698	10	.	.	PUNCT
ejpam-2596	699	1	the	the	DET
ejpam-2596	699	2	american	american	PROPN
ejpam-2596	699	3	mathematical	mathematical	PROPN
ejpam-2596	699	4	monthly	monthly	PROPN
ejpam-2596	699	5	,	,	PUNCT
ejpam-2596	699	6	66(5):361–375	66(5):361–375	PROPN
ejpam-2596	699	7	,	,	PUNCT
ejpam-2596	699	8	1959	1959	NUM
ejpam-2596	699	9	.	.	PUNCT
ejpam-2596	700	1	[	[	X
ejpam-2596	700	2	28	28	NUM
ejpam-2596	700	3	]	]	X
ejpam-2596	700	4	a	a	DET
ejpam-2596	700	5	wilansky	wilansky	NOUN
ejpam-2596	700	6	.	.	PUNCT
ejpam-2596	701	1	summability	summability	NOUN
ejpam-2596	701	2	through	through	ADP
ejpam-2596	701	3	functional	functional	ADJ
ejpam-2596	701	4	analysis	analysis	NOUN
ejpam-2596	701	5	.	.	PUNCT
ejpam-2596	702	1	northholland	northholland	PROPN
ejpam-2596	702	2	mathematics	mathematics	PROPN
ejpam-2596	702	3	studies	study	NOUN
ejpam-2596	702	4	,	,	PUNCT
ejpam-2596	702	5	amsterdam	amsterdam	PROPN
ejpam-2596	702	6	,	,	PUNCT
ejpam-2596	702	7	netherlands	netherlands	PROPN
ejpam-2596	702	8	,	,	PUNCT
ejpam-2596	702	9	1984	1984	NUM
ejpam-2596	702	10	.	.	PUNCT