id	sid	tid	token	lemma	pos
ejpam-3667	1	1	european	european	PROPN
ejpam-3667	1	2	journal	journal	PROPN
ejpam-3667	1	3	of	of	ADP
ejpam-3667	1	4	pure	pure	ADJ
ejpam-3667	1	5	and	and	CCONJ
ejpam-3667	1	6	applied	apply	VERB
ejpam-3667	1	7	mathematics	mathematic	NOUN
ejpam-3667	1	8	vol	vol	NOUN
ejpam-3667	1	9	.	.	PROPN
ejpam-3667	2	1	13	13	NUM
ejpam-3667	2	2	,	,	PUNCT
ejpam-3667	2	3	no	no	INTJ
ejpam-3667	2	4	.	.	NOUN
ejpam-3667	2	5	2	2	NUM
ejpam-3667	2	6	,	,	PUNCT
ejpam-3667	2	7	2020	2020	NUM
ejpam-3667	2	8	,	,	PUNCT
ejpam-3667	2	9	351	351	NUM
ejpam-3667	2	10	-	-	SYM
ejpam-3667	2	11	368	368	NUM
ejpam-3667	2	12	issn	issn	PROPN
ejpam-3667	2	13	1307	1307	NUM
ejpam-3667	2	14	-	-	SYM
ejpam-3667	2	15	5543	5543	NUM
ejpam-3667	2	16	–	–	PUNCT
ejpam-3667	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3667	2	18	published	publish	VERB
ejpam-3667	2	19	by	by	ADP
ejpam-3667	2	20	new	new	PROPN
ejpam-3667	2	21	york	york	PROPN
ejpam-3667	2	22	business	business	PROPN
ejpam-3667	2	23	global	global	ADJ
ejpam-3667	2	24	approximation	approximation	NOUN
ejpam-3667	2	25	of	of	ADP
ejpam-3667	2	26	function	function	NOUN
ejpam-3667	2	27	in	in	ADP
ejpam-3667	2	28	generalized	generalized	ADJ
ejpam-3667	2	29	hölder	hölder	NOUN
ejpam-3667	2	30	class	class	NOUN
ejpam-3667	2	31	h.	h.	PROPN
ejpam-3667	2	32	k.	k.	PROPN
ejpam-3667	2	33	nigam1	nigam1	PROPN
ejpam-3667	2	34	,	,	PUNCT
ejpam-3667	2	35	supriya	supriya	PROPN
ejpam-3667	2	36	rani1,∗	rani1,∗	NOUN
ejpam-3667	2	37	1department	1department	NUM
ejpam-3667	2	38	of	of	ADP
ejpam-3667	2	39	mathematics	mathematic	NOUN
ejpam-3667	2	40	,	,	PUNCT
ejpam-3667	2	41	central	central	ADJ
ejpam-3667	2	42	university	university	NOUN
ejpam-3667	2	43	of	of	ADP
ejpam-3667	2	44	south	south	PROPN
ejpam-3667	2	45	bihar	bihar	PROPN
ejpam-3667	2	46	,	,	PUNCT
ejpam-3667	2	47	gaya-824236	gaya-824236	ADJ
ejpam-3667	2	48	(	(	PUNCT
ejpam-3667	2	49	bihar	bihar	NOUN
ejpam-3667	2	50	)	)	PUNCT
ejpam-3667	2	51	,	,	PUNCT
ejpam-3667	2	52	india	india	PROPN
ejpam-3667	2	53	abstract	abstract	NOUN
ejpam-3667	2	54	.	.	PUNCT
ejpam-3667	3	1	in	in	ADP
ejpam-3667	3	2	the	the	DET
ejpam-3667	3	3	present	present	ADJ
ejpam-3667	3	4	work	work	NOUN
ejpam-3667	3	5	,	,	PUNCT
ejpam-3667	3	6	we	we	PRON
ejpam-3667	3	7	study	study	VERB
ejpam-3667	3	8	error	error	NOUN
ejpam-3667	3	9	estimation	estimation	NOUN
ejpam-3667	3	10	of	of	ADP
ejpam-3667	3	11	a	a	DET
ejpam-3667	3	12	function	function	NOUN
ejpam-3667	3	13	g	g	PROPN
ejpam-3667	3	14	∈	∈	PROPN
ejpam-3667	3	15	h(η	h(η	NOUN
ejpam-3667	3	16	)	)	PUNCT
ejpam-3667	3	17	r	r	NOUN
ejpam-3667	3	18	(	(	PUNCT
ejpam-3667	3	19	r	r	NOUN
ejpam-3667	3	20	≥	≥	NUM
ejpam-3667	3	21	1	1	NUM
ejpam-3667	3	22	)	)	PUNCT
ejpam-3667	3	23	class	class	NOUN
ejpam-3667	3	24	using	use	VERB
ejpam-3667	3	25	matrix	matrix	NOUN
ejpam-3667	3	26	-	-	PUNCT
ejpam-3667	3	27	hausdorff	hausdorff	NOUN
ejpam-3667	3	28	(	(	PUNCT
ejpam-3667	3	29	t∆h	t∆h	NOUN
ejpam-3667	3	30	)	)	PUNCT
ejpam-3667	3	31	means	mean	NOUN
ejpam-3667	3	32	of	of	ADP
ejpam-3667	3	33	its	its	PRON
ejpam-3667	3	34	fourier	fourier	NOUN
ejpam-3667	3	35	series	series	NOUN
ejpam-3667	3	36	.	.	PUNCT
ejpam-3667	4	1	our	our	PRON
ejpam-3667	4	2	theorem	theorem	ADJ
ejpam-3667	4	3	1	1	NUM
ejpam-3667	4	4	generalizes	generalize	VERB
ejpam-3667	4	5	twelve	twelve	NUM
ejpam-3667	4	6	previously	previously	ADV
ejpam-3667	4	7	known	know	VERB
ejpam-3667	4	8	results	result	NOUN
ejpam-3667	4	9	.	.	PUNCT
ejpam-3667	5	1	thus	thus	ADV
ejpam-3667	5	2	,	,	PUNCT
ejpam-3667	5	3	the	the	DET
ejpam-3667	5	4	results	result	NOUN
ejpam-3667	5	5	of	of	ADP
ejpam-3667	5	6	[	[	X
ejpam-3667	5	7	4	4	NUM
ejpam-3667	5	8	,	,	PUNCT
ejpam-3667	5	9	5	5	NUM
ejpam-3667	5	10	,	,	PUNCT
ejpam-3667	5	11	11–16	11–16	NUM
ejpam-3667	5	12	,	,	PUNCT
ejpam-3667	5	13	18	18	NUM
ejpam-3667	5	14	,	,	PUNCT
ejpam-3667	5	15	26	26	NUM
ejpam-3667	5	16	,	,	PUNCT
ejpam-3667	5	17	29	29	NUM
ejpam-3667	5	18	,	,	PUNCT
ejpam-3667	5	19	30	30	NUM
ejpam-3667	5	20	]	]	PUNCT
ejpam-3667	5	21	become	become	VERB
ejpam-3667	5	22	the	the	DET
ejpam-3667	5	23	particular	particular	ADJ
ejpam-3667	5	24	cases	case	NOUN
ejpam-3667	5	25	of	of	ADP
ejpam-3667	5	26	our	our	PRON
ejpam-3667	5	27	theorem	theorem	NOUN
ejpam-3667	5	28	1	1	NUM
ejpam-3667	5	29	.	.	PUNCT
ejpam-3667	5	30	several	several	ADJ
ejpam-3667	5	31	useful	useful	ADJ
ejpam-3667	5	32	results	result	NOUN
ejpam-3667	5	33	in	in	ADP
ejpam-3667	5	34	the	the	DET
ejpam-3667	5	35	form	form	NOUN
ejpam-3667	5	36	of	of	ADP
ejpam-3667	5	37	corollaries	corollary	NOUN
ejpam-3667	5	38	are	be	AUX
ejpam-3667	5	39	also	also	ADV
ejpam-3667	5	40	deduced	deduce	VERB
ejpam-3667	5	41	from	from	ADP
ejpam-3667	5	42	our	our	PRON
ejpam-3667	5	43	theorem	theorem	NOUN
ejpam-3667	5	44	1	1	NUM
ejpam-3667	5	45	.	.	NOUN
ejpam-3667	5	46	2020	2020	NUM
ejpam-3667	5	47	mathematics	mathematic	NOUN
ejpam-3667	5	48	subject	subject	NOUN
ejpam-3667	5	49	classifications	classification	NOUN
ejpam-3667	5	50	:	:	PUNCT
ejpam-3667	5	51	41a10	41a10	NUM
ejpam-3667	5	52	,	,	PUNCT
ejpam-3667	5	53	41a25	41a25	NUM
ejpam-3667	5	54	,	,	PUNCT
ejpam-3667	5	55	42b05	42b05	NUM
ejpam-3667	5	56	,	,	PUNCT
ejpam-3667	5	57	42a10	42a10	NUM
ejpam-3667	5	58	,	,	PUNCT
ejpam-3667	5	59	40g05	40g05	NUM
ejpam-3667	5	60	,	,	PUNCT
ejpam-3667	5	61	40c05	40c05	ADJ
ejpam-3667	5	62	key	key	ADJ
ejpam-3667	5	63	words	word	NOUN
ejpam-3667	5	64	and	and	CCONJ
ejpam-3667	5	65	phrases	phrase	NOUN
ejpam-3667	5	66	:	:	PUNCT
ejpam-3667	5	67	error	error	NOUN
ejpam-3667	5	68	estimation	estimation	NOUN
ejpam-3667	5	69	,	,	PUNCT
ejpam-3667	5	70	generalized	generalize	VERB
ejpam-3667	5	71	hölder	hölder	NOUN
ejpam-3667	5	72	class	class	NOUN
ejpam-3667	5	73	,	,	PUNCT
ejpam-3667	5	74	fourier	fourier	NOUN
ejpam-3667	5	75	series	series	NOUN
ejpam-3667	5	76	,	,	PUNCT
ejpam-3667	5	77	matrix	matrix	NOUN
ejpam-3667	5	78	(	(	PUNCT
ejpam-3667	5	79	t	t	NOUN
ejpam-3667	5	80	)	)	PUNCT
ejpam-3667	5	81	means	mean	VERB
ejpam-3667	5	82	,	,	PUNCT
ejpam-3667	5	83	hausdorff	hausdorff	X
ejpam-3667	5	84	(	(	PUNCT
ejpam-3667	5	85	∆h	∆h	PROPN
ejpam-3667	5	86	)	)	PUNCT
ejpam-3667	5	87	means	mean	NOUN
ejpam-3667	5	88	,	,	PUNCT
ejpam-3667	5	89	matrix	matrix	NOUN
ejpam-3667	5	90	-	-	PUNCT
ejpam-3667	5	91	hausdorff	hausdorff	NOUN
ejpam-3667	5	92	(	(	PUNCT
ejpam-3667	5	93	t∆h	t∆h	NOUN
ejpam-3667	5	94	)	)	PUNCT
ejpam-3667	5	95	product	product	NOUN
ejpam-3667	5	96	means	mean	VERB
ejpam-3667	5	97	1	1	NUM
ejpam-3667	5	98	.	.	PUNCT
ejpam-3667	6	1	introduction	introduction	NOUN
ejpam-3667	6	2	in	in	ADP
ejpam-3667	6	3	the	the	DET
ejpam-3667	6	4	past	past	ADJ
ejpam-3667	6	5	few	few	ADJ
ejpam-3667	6	6	decades	decade	NOUN
ejpam-3667	7	1	,	,	PUNCT
ejpam-3667	7	2	the	the	DET
ejpam-3667	7	3	researchers	researcher	NOUN
ejpam-3667	7	4	have	have	AUX
ejpam-3667	7	5	been	be	AUX
ejpam-3667	7	6	greatly	greatly	ADV
ejpam-3667	7	7	interested	interested	ADJ
ejpam-3667	7	8	in	in	ADP
ejpam-3667	7	9	studying	study	VERB
ejpam-3667	7	10	the	the	DET
ejpam-3667	7	11	error	error	NOUN
ejpam-3667	7	12	estimation	estimation	NOUN
ejpam-3667	7	13	of	of	ADP
ejpam-3667	7	14	functions	function	NOUN
ejpam-3667	7	15	in	in	ADP
ejpam-3667	7	16	different	different	ADJ
ejpam-3667	7	17	function	function	NOUN
ejpam-3667	7	18	spaces	space	NOUN
ejpam-3667	7	19	using	use	VERB
ejpam-3667	7	20	summability	summability	NOUN
ejpam-3667	7	21	operators	operator	NOUN
ejpam-3667	7	22	due	due	ADP
ejpam-3667	7	23	to	to	ADP
ejpam-3667	7	24	their	their	PRON
ejpam-3667	7	25	variety	variety	NOUN
ejpam-3667	7	26	of	of	ADP
ejpam-3667	7	27	applications	application	NOUN
ejpam-3667	7	28	in	in	ADP
ejpam-3667	7	29	science	science	NOUN
ejpam-3667	7	30	and	and	CCONJ
ejpam-3667	7	31	engineering	engineering	NOUN
ejpam-3667	7	32	.	.	PUNCT
ejpam-3667	8	1	in	in	ADP
ejpam-3667	8	2	this	this	DET
ejpam-3667	8	3	direction	direction	NOUN
ejpam-3667	8	4	,	,	PUNCT
ejpam-3667	8	5	several	several	ADJ
ejpam-3667	8	6	researchers	researcher	NOUN
ejpam-3667	8	7	like	like	ADP
ejpam-3667	8	8	[	[	X
ejpam-3667	8	9	2	2	NUM
ejpam-3667	8	10	,	,	PUNCT
ejpam-3667	8	11	3	3	NUM
ejpam-3667	8	12	,	,	PUNCT
ejpam-3667	8	13	9	9	NUM
ejpam-3667	8	14	,	,	PUNCT
ejpam-3667	8	15	10	10	NUM
ejpam-3667	8	16	,	,	PUNCT
ejpam-3667	8	17	19–23	19–23	NUM
ejpam-3667	8	18	,	,	PUNCT
ejpam-3667	8	19	25	25	NUM
ejpam-3667	8	20	,	,	PUNCT
ejpam-3667	8	21	28	28	NUM
ejpam-3667	8	22	]	]	PUNCT
ejpam-3667	8	23	have	have	AUX
ejpam-3667	8	24	obtained	obtain	VERB
ejpam-3667	8	25	results	result	NOUN
ejpam-3667	8	26	on	on	ADP
ejpam-3667	8	27	error	error	NOUN
ejpam-3667	8	28	estimation	estimation	NOUN
ejpam-3667	8	29	of	of	ADP
ejpam-3667	8	30	functions	function	NOUN
ejpam-3667	8	31	in	in	ADP
ejpam-3667	8	32	different	different	ADJ
ejpam-3667	8	33	lipschitz	lipschitz	NOUN
ejpam-3667	8	34	classes	class	NOUN
ejpam-3667	8	35	and	and	CCONJ
ejpam-3667	8	36	hölder	hölder	NOUN
ejpam-3667	8	37	classes	class	NOUN
ejpam-3667	8	38	with	with	ADP
ejpam-3667	8	39	different	different	ADJ
ejpam-3667	8	40	single	single	ADJ
ejpam-3667	8	41	summability	summability	NOUN
ejpam-3667	8	42	operators	operator	NOUN
ejpam-3667	8	43	.	.	PUNCT
ejpam-3667	9	1	taking	take	VERB
ejpam-3667	9	2	a	a	DET
ejpam-3667	9	3	view	view	NOUN
ejpam-3667	9	4	point	point	NOUN
ejpam-3667	9	5	that	that	SCONJ
ejpam-3667	9	6	a	a	DET
ejpam-3667	9	7	product	product	NOUN
ejpam-3667	9	8	summability	summability	NOUN
ejpam-3667	9	9	is	be	AUX
ejpam-3667	9	10	more	more	ADV
ejpam-3667	9	11	effective	effective	ADJ
ejpam-3667	9	12	than	than	ADP
ejpam-3667	9	13	the	the	DET
ejpam-3667	9	14	individual	individual	ADJ
ejpam-3667	9	15	single	single	ADJ
ejpam-3667	9	16	summability	summability	NOUN
ejpam-3667	9	17	operator	operator	NOUN
ejpam-3667	9	18	,	,	PUNCT
ejpam-3667	9	19	researchers	researcher	NOUN
ejpam-3667	9	20	like	like	ADP
ejpam-3667	9	21	[	[	X
ejpam-3667	9	22	11	11	NUM
ejpam-3667	9	23	,	,	PUNCT
ejpam-3667	9	24	13	13	NUM
ejpam-3667	9	25	,	,	PUNCT
ejpam-3667	9	26	18	18	NUM
ejpam-3667	9	27	,	,	PUNCT
ejpam-3667	9	28	27–29	27–29	NUM
ejpam-3667	9	29	]	]	PUNCT
ejpam-3667	9	30	,	,	PUNCT
ejpam-3667	9	31	have	have	AUX
ejpam-3667	9	32	obtained	obtain	VERB
ejpam-3667	9	33	error	error	NOUN
ejpam-3667	9	34	estimation	estimation	NOUN
ejpam-3667	9	35	of	of	ADP
ejpam-3667	9	36	functions	function	NOUN
ejpam-3667	9	37	in	in	ADP
ejpam-3667	9	38	various	various	ADJ
ejpam-3667	9	39	lipschitz	lipschitz	NOUN
ejpam-3667	9	40	and	and	CCONJ
ejpam-3667	9	41	hölder	hölder	NOUN
ejpam-3667	9	42	classes	class	NOUN
ejpam-3667	9	43	using	use	VERB
ejpam-3667	9	44	different	different	ADJ
ejpam-3667	9	45	product	product	NOUN
ejpam-3667	9	46	summability	summability	NOUN
ejpam-3667	9	47	operators	operator	NOUN
ejpam-3667	9	48	.	.	PUNCT
ejpam-3667	10	1	after	after	ADP
ejpam-3667	10	2	reviewing	review	VERB
ejpam-3667	10	3	the	the	DET
ejpam-3667	10	4	above	above	ADJ
ejpam-3667	10	5	mentioned	mention	VERB
ejpam-3667	10	6	works	work	NOUN
ejpam-3667	10	7	,	,	PUNCT
ejpam-3667	10	8	we	we	PRON
ejpam-3667	10	9	observe	observe	VERB
ejpam-3667	10	10	that	that	SCONJ
ejpam-3667	10	11	these	these	DET
ejpam-3667	10	12	works	work	NOUN
ejpam-3667	10	13	can	can	AUX
ejpam-3667	10	14	not	not	PART
ejpam-3667	10	15	provide	provide	VERB
ejpam-3667	10	16	the	the	DET
ejpam-3667	10	17	best	good	ADJ
ejpam-3667	10	18	error	error	NOUN
ejpam-3667	10	19	estimation	estimation	NOUN
ejpam-3667	10	20	of	of	ADP
ejpam-3667	10	21	a	a	DET
ejpam-3667	10	22	function	function	NOUN
ejpam-3667	10	23	in	in	ADP
ejpam-3667	10	24	the	the	DET
ejpam-3667	10	25	function	function	NOUN
ejpam-3667	10	26	spaces	space	NOUN
ejpam-3667	10	27	considered	consider	VERB
ejpam-3667	10	28	in	in	ADP
ejpam-3667	10	29	their	their	PRON
ejpam-3667	10	30	works	work	NOUN
ejpam-3667	10	31	.	.	PUNCT
ejpam-3667	11	1	this	this	DET
ejpam-3667	11	2	fact	fact	NOUN
ejpam-3667	11	3	strongly	strongly	ADV
ejpam-3667	11	4	motivates	motivate	VERB
ejpam-3667	11	5	us	we	PRON
ejpam-3667	11	6	to	to	PART
ejpam-3667	11	7	consider	consider	VERB
ejpam-3667	11	8	a	a	DET
ejpam-3667	11	9	more	more	ADV
ejpam-3667	11	10	advanced	advanced	ADJ
ejpam-3667	11	11	class	class	NOUN
ejpam-3667	11	12	of	of	ADP
ejpam-3667	11	13	function	function	NOUN
ejpam-3667	11	14	,	,	PUNCT
ejpam-3667	11	15	which	which	PRON
ejpam-3667	11	16	provide	provide	VERB
ejpam-3667	11	17	the	the	DET
ejpam-3667	11	18	best	good	ADJ
ejpam-3667	11	19	approximation	approximation	NOUN
ejpam-3667	11	20	of	of	ADP
ejpam-3667	11	21	a	a	DET
ejpam-3667	11	22	function	function	NOUN
ejpam-3667	11	23	using	use	VERB
ejpam-3667	11	24	summability	summability	NOUN
ejpam-3667	11	25	operator	operator	NOUN
ejpam-3667	11	26	.	.	PUNCT
ejpam-3667	12	1	therefore	therefore	ADV
ejpam-3667	12	2	,	,	PUNCT
ejpam-3667	12	3	in	in	ADP
ejpam-3667	12	4	the	the	DET
ejpam-3667	12	5	present	present	ADJ
ejpam-3667	12	6	work	work	NOUN
ejpam-3667	12	7	,	,	PUNCT
ejpam-3667	12	8	we	we	PRON
ejpam-3667	12	9	establish	establish	VERB
ejpam-3667	12	10	a	a	DET
ejpam-3667	12	11	theorem	theorem	NOUN
ejpam-3667	12	12	on	on	ADP
ejpam-3667	12	13	the	the	DET
ejpam-3667	12	14	best	good	ADJ
ejpam-3667	12	15	error	error	NOUN
ejpam-3667	12	16	approximation	approximation	NOUN
ejpam-3667	12	17	of	of	ADP
ejpam-3667	12	18	a	a	DET
ejpam-3667	12	19	function	function	NOUN
ejpam-3667	12	20	g	g	NOUN
ejpam-3667	12	21	in	in	ADP
ejpam-3667	12	22	the	the	DET
ejpam-3667	12	23	generalized	generalize	VERB
ejpam-3667	12	24	hölder	hölder	NOUN
ejpam-3667	12	25	class	class	NOUN
ejpam-3667	12	26	h	h	NOUN
ejpam-3667	12	27	(	(	PUNCT
ejpam-3667	12	28	η	η	NOUN
ejpam-3667	12	29	)	)	PUNCT
ejpam-3667	12	30	r	r	NOUN
ejpam-3667	12	31	(	(	PUNCT
ejpam-3667	12	32	r	r	NOUN
ejpam-3667	12	33	≥	≥	NOUN
ejpam-3667	12	34	1	1	NUM
ejpam-3667	12	35	)	)	PUNCT
ejpam-3667	12	36	using	use	VERB
ejpam-3667	12	37	matrix	matrix	NOUN
ejpam-3667	12	38	-	-	PUNCT
ejpam-3667	12	39	hausdorff	hausdorff	NOUN
ejpam-3667	12	40	(	(	PUNCT
ejpam-3667	12	41	t∆h	t∆h	PROPN
ejpam-3667	12	42	)	)	PUNCT
ejpam-3667	12	43	∗corresponding	∗corresponde	VERB
ejpam-3667	12	44	author	author	NOUN
ejpam-3667	12	45	.	.	PUNCT
ejpam-3667	13	1	doi	doi	NOUN
ejpam-3667	13	2	:	:	PUNCT
ejpam-3667	13	3	https://doi.org/10.29020/nybg.ejpam.v13i2.3667	https://doi.org/10.29020/nybg.ejpam.v13i2.3667	NUM
ejpam-3667	13	4	email	email	NOUN
ejpam-3667	13	5	addresses	address	NOUN
ejpam-3667	13	6	:	:	PUNCT
ejpam-3667	13	7	hknigam@cusb.ac.in	hknigam@cusb.ac.in	PUNCT
ejpam-3667	13	8	(	(	PUNCT
ejpam-3667	13	9	h.	h.	PROPN
ejpam-3667	13	10	k.	k.	PROPN
ejpam-3667	13	11	nigam	nigam	PROPN
ejpam-3667	13	12	)	)	PUNCT
ejpam-3667	13	13	,	,	PUNCT
ejpam-3667	13	14	supriya@cusb.ac.in	supriya@cusb.ac.in	PROPN
ejpam-3667	13	15	(	(	PUNCT
ejpam-3667	13	16	supriya	supriya	PROPN
ejpam-3667	13	17	rani	rani	PROPN
ejpam-3667	13	18	)	)	PUNCT
ejpam-3667	13	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3667	14	1	351	351	NUM
ejpam-3667	14	2	c	c	NOUN
ejpam-3667	14	3	©	©	NOUN
ejpam-3667	14	4	2020	2020	NUM
ejpam-3667	14	5	ejpam	ejpam	VERB
ejpam-3667	14	6	all	all	DET
ejpam-3667	14	7	rights	right	NOUN
ejpam-3667	14	8	reserved	reserve	VERB
ejpam-3667	14	9	.	.	PUNCT
ejpam-3667	15	1	s.	s.	PROPN
ejpam-3667	15	2	rani	rani	PROPN
ejpam-3667	15	3	,	,	PUNCT
ejpam-3667	15	4	h.	h.	PROPN
ejpam-3667	15	5	k.	k.	PROPN
ejpam-3667	15	6	nigam	nigam	PROPN
ejpam-3667	15	7	/	/	SYM
ejpam-3667	15	8	eur	eur	PROPN
ejpam-3667	15	9	.	.	PUNCT
ejpam-3667	16	1	j.	j.	PROPN
ejpam-3667	16	2	pure	pure	PROPN
ejpam-3667	16	3	appl	appl	PROPN
ejpam-3667	16	4	.	.	PROPN
ejpam-3667	16	5	math	math	PROPN
ejpam-3667	16	6	,	,	PUNCT
ejpam-3667	16	7	13	13	NUM
ejpam-3667	16	8	(	(	PUNCT
ejpam-3667	16	9	2	2	NUM
ejpam-3667	16	10	)	)	PUNCT
ejpam-3667	16	11	(	(	PUNCT
ejpam-3667	16	12	2020	2020	NUM
ejpam-3667	16	13	)	)	PUNCT
ejpam-3667	16	14	,	,	PUNCT
ejpam-3667	16	15	351	351	NUM
ejpam-3667	16	16	-	-	SYM
ejpam-3667	16	17	368	368	NUM
ejpam-3667	16	18	352	352	NUM
ejpam-3667	16	19	product	product	NOUN
ejpam-3667	16	20	operator	operator	NOUN
ejpam-3667	16	21	of	of	ADP
ejpam-3667	16	22	its	its	PRON
ejpam-3667	16	23	fourier	fourier	NOUN
ejpam-3667	16	24	series	series	NOUN
ejpam-3667	16	25	.	.	PUNCT
ejpam-3667	17	1	our	our	PRON
ejpam-3667	17	2	main	main	ADJ
ejpam-3667	17	3	theorem	theorem	NOUN
ejpam-3667	17	4	generalizes	generalize	VERB
ejpam-3667	17	5	tweleve	tweleve	NOUN
ejpam-3667	17	6	previously	previously	ADV
ejpam-3667	17	7	known	know	VERB
ejpam-3667	17	8	results	result	NOUN
ejpam-3667	17	9	.	.	PUNCT
ejpam-3667	18	1	thus	thus	ADV
ejpam-3667	18	2	,	,	PUNCT
ejpam-3667	18	3	the	the	DET
ejpam-3667	18	4	results	result	NOUN
ejpam-3667	18	5	of	of	ADP
ejpam-3667	18	6	[	[	X
ejpam-3667	18	7	4	4	NUM
ejpam-3667	18	8	,	,	PUNCT
ejpam-3667	18	9	5	5	NUM
ejpam-3667	18	10	,	,	PUNCT
ejpam-3667	18	11	11–16	11–16	NUM
ejpam-3667	18	12	,	,	PUNCT
ejpam-3667	18	13	18	18	NUM
ejpam-3667	18	14	,	,	PUNCT
ejpam-3667	18	15	26	26	NUM
ejpam-3667	18	16	,	,	PUNCT
ejpam-3667	18	17	29	29	NUM
ejpam-3667	18	18	,	,	PUNCT
ejpam-3667	18	19	30	30	NUM
ejpam-3667	18	20	]	]	PUNCT
ejpam-3667	18	21	become	become	VERB
ejpam-3667	18	22	the	the	DET
ejpam-3667	18	23	particular	particular	ADJ
ejpam-3667	18	24	cases	case	NOUN
ejpam-3667	18	25	of	of	ADP
ejpam-3667	18	26	our	our	PRON
ejpam-3667	18	27	theorem	theorem	NOUN
ejpam-3667	18	28	.	.	PROPN
ejpam-3667	18	29	2	2	X
ejpam-3667	18	30	.	.	X
ejpam-3667	18	31	preliminaries	preliminary	NOUN
ejpam-3667	18	32	let	let	VERB
ejpam-3667	18	33	∑∞	∑∞	ADJ
ejpam-3667	18	34	l=0	l=0	PROPN
ejpam-3667	18	35	cl	cl	NOUN
ejpam-3667	18	36	be	be	AUX
ejpam-3667	18	37	an	an	DET
ejpam-3667	18	38	infinite	infinite	ADJ
ejpam-3667	18	39	series	series	NOUN
ejpam-3667	18	40	having	have	VERB
ejpam-3667	18	41	lth	lth	PROPN
ejpam-3667	18	42	partial	partial	ADJ
ejpam-3667	18	43	sum	sum	NOUN
ejpam-3667	19	1	sl	sl	NOUN
ejpam-3667	19	2	=	=	PUNCT
ejpam-3667	19	3	∑l	∑l	PROPN
ejpam-3667	19	4	ν=0	ν=0	DET
ejpam-3667	19	5	cν	cν	NOUN
ejpam-3667	19	6	.	.	PUNCT
ejpam-3667	20	1	let	let	AUX
ejpam-3667	20	2	t	t	PROPN
ejpam-3667	20	3	≡	≡	PROPN
ejpam-3667	20	4	(	(	PUNCT
ejpam-3667	20	5	bl	bl	PROPN
ejpam-3667	20	6	,	,	PUNCT
ejpam-3667	20	7	j	j	PROPN
ejpam-3667	20	8	)	)	PUNCT
ejpam-3667	20	9	be	be	VERB
ejpam-3667	20	10	an	an	DET
ejpam-3667	20	11	infinite	infinite	ADJ
ejpam-3667	20	12	triangular	triangular	NOUN
ejpam-3667	20	13	matrix	matrix	NOUN
ejpam-3667	20	14	satisfying	satisfy	VERB
ejpam-3667	20	15	the	the	DET
ejpam-3667	20	16	conditions	condition	NOUN
ejpam-3667	20	17	of	of	ADP
ejpam-3667	20	18	regularity	regularity	NOUN
ejpam-3667	20	19	[	[	X
ejpam-3667	20	20	24	24	NUM
ejpam-3667	20	21	]	]	PUNCT
ejpam-3667	21	1	i.e.	i.e.	X
ejpam-3667	21	2			PRON
ejpam-3667	21	3	∑l	∑l	INTJ
ejpam-3667	21	4	j=0	j=0	PROPN
ejpam-3667	21	5	bl	bl	PROPN
ejpam-3667	21	6	,	,	PUNCT
ejpam-3667	21	7	j	j	PROPN
ejpam-3667	21	8	=	=	SYM
ejpam-3667	21	9	1	1	NUM
ejpam-3667	21	10	as	as	ADP
ejpam-3667	21	11	l→∞	l→∞	NUM
ejpam-3667	21	12	;	;	PUNCT
ejpam-3667	21	13	∀	∀	X
ejpam-3667	21	14	j	j	PROPN
ejpam-3667	21	15	≥	≥	PROPN
ejpam-3667	21	16	0	0	NUM
ejpam-3667	21	17	,	,	PUNCT
ejpam-3667	21	18	bl	bl	PROPN
ejpam-3667	21	19	,	,	PUNCT
ejpam-3667	21	20	j	j	PROPN
ejpam-3667	21	21	=	=	SYM
ejpam-3667	21	22	0	0	PROPN
ejpam-3667	21	23	as	as	ADP
ejpam-3667	21	24	l→∞	l→∞	NUM
ejpam-3667	21	25	;	;	PUNCT
ejpam-3667	21	26	∃	∃	PROPN
ejpam-3667	21	27	m	m	PROPN
ejpam-3667	21	28	>	>	X
ejpam-3667	21	29	0	0	NUM
ejpam-3667	21	30	∀	∀	NOUN
ejpam-3667	21	31	l	l	X
ejpam-3667	21	32	≥	≥	NOUN
ejpam-3667	21	33	0	0	NUM
ejpam-3667	21	34	,	,	PUNCT
ejpam-3667	21	35	∑∞	∑∞	NOUN
ejpam-3667	21	36	j=0	j=0	PROPN
ejpam-3667	21	37	|bl	|bl	PROPN
ejpam-3667	21	38	,	,	PUNCT
ejpam-3667	21	39	j	j	PROPN
ejpam-3667	21	40	|	|	ADV
ejpam-3667	21	41	<	<	X
ejpam-3667	21	42	m.	m.	NOUN
ejpam-3667	21	43	(	(	PUNCT
ejpam-3667	21	44	1	1	X
ejpam-3667	21	45	)	)	PUNCT
ejpam-3667	21	46	the	the	DET
ejpam-3667	21	47	sequence	sequence	NOUN
ejpam-3667	21	48	-	-	PUNCT
ejpam-3667	21	49	to	to	ADP
ejpam-3667	21	50	-	-	PUNCT
ejpam-3667	21	51	sequence	sequence	NOUN
ejpam-3667	21	52	transformation	transformation	NOUN
ejpam-3667	21	53	ttl	ttl	NOUN
ejpam-3667	21	54	:	:	PUNCT
ejpam-3667	21	55	=	=	SYM
ejpam-3667	21	56	l∑	l∑	X
ejpam-3667	21	57	j=0	j=0	PROPN
ejpam-3667	21	58	bl	bl	PROPN
ejpam-3667	21	59	,	,	PUNCT
ejpam-3667	21	60	jsj	jsj	X
ejpam-3667	22	1	=	=	PUNCT
ejpam-3667	23	1	l∑	l∑	X
ejpam-3667	23	2	j=0	j=0	PROPN
ejpam-3667	23	3	bl	bl	PROPN
ejpam-3667	23	4	,	,	PUNCT
ejpam-3667	23	5	l−jsl−j	l−jsl−j	PROPN
ejpam-3667	23	6	defines	define	VERB
ejpam-3667	23	7	the	the	DET
ejpam-3667	23	8	sequence	sequence	NOUN
ejpam-3667	23	9	ttl	ttl	NOUN
ejpam-3667	23	10	of	of	ADP
ejpam-3667	23	11	triangular	triangular	NOUN
ejpam-3667	23	12	matrix	matrix	NOUN
ejpam-3667	23	13	means	mean	NOUN
ejpam-3667	23	14	of	of	ADP
ejpam-3667	23	15	the	the	DET
ejpam-3667	23	16	sequence	sequence	NOUN
ejpam-3667	23	17	{	{	PUNCT
ejpam-3667	23	18	sl	sl	NOUN
ejpam-3667	23	19	}	}	PUNCT
ejpam-3667	23	20	generated	generate	VERB
ejpam-3667	23	21	by	by	ADP
ejpam-3667	23	22	the	the	DET
ejpam-3667	23	23	sequence	sequence	NOUN
ejpam-3667	23	24	of	of	ADP
ejpam-3667	23	25	coefficients	coefficient	NOUN
ejpam-3667	23	26	(	(	PUNCT
ejpam-3667	23	27	bl	bl	PROPN
ejpam-3667	23	28	,	,	PUNCT
ejpam-3667	23	29	j	j	PROPN
ejpam-3667	23	30	)	)	PUNCT
ejpam-3667	23	31	.	.	PUNCT
ejpam-3667	24	1	if	if	SCONJ
ejpam-3667	24	2	ttl	ttl	PROPN
ejpam-3667	24	3	→	→	SYM
ejpam-3667	24	4	s	s	X
ejpam-3667	24	5	as	as	ADP
ejpam-3667	24	6	l→∞	l→∞	NUM
ejpam-3667	24	7	,	,	PUNCT
ejpam-3667	24	8	then	then	ADV
ejpam-3667	24	9	the	the	DET
ejpam-3667	24	10	infinite	infinite	ADJ
ejpam-3667	24	11	series	series	NOUN
ejpam-3667	24	12	∑∞	∑∞	NOUN
ejpam-3667	24	13	l=0	l=0	ADJ
ejpam-3667	24	14	cl	cl	NOUN
ejpam-3667	24	15	or	or	CCONJ
ejpam-3667	24	16	the	the	DET
ejpam-3667	24	17	sequence	sequence	NOUN
ejpam-3667	24	18	{	{	PUNCT
ejpam-3667	24	19	sl	sl	NOUN
ejpam-3667	24	20	}	}	PUNCT
ejpam-3667	24	21	is	be	AUX
ejpam-3667	24	22	summable	summable	ADJ
ejpam-3667	24	23	to	to	ADP
ejpam-3667	24	24	s	s	PRON
ejpam-3667	24	25	by	by	ADP
ejpam-3667	24	26	triangular	triangular	NOUN
ejpam-3667	24	27	matrix	matrix	NOUN
ejpam-3667	24	28	(	(	PUNCT
ejpam-3667	24	29	t	t	NOUN
ejpam-3667	24	30	)	)	PUNCT
ejpam-3667	25	1	[	[	X
ejpam-3667	25	2	1	1	NUM
ejpam-3667	25	3	]	]	PUNCT
ejpam-3667	25	4	.	.	PUNCT
ejpam-3667	26	1	a	a	DET
ejpam-3667	26	2	hausdorff	hausdorff	NOUN
ejpam-3667	26	3	matrix	matrix	NOUN
ejpam-3667	26	4	h	h	PROPN
ejpam-3667	26	5	≡	≡	PROPN
ejpam-3667	26	6	(	(	PUNCT
ejpam-3667	26	7	hl	hl	PROPN
ejpam-3667	26	8	,	,	PUNCT
ejpam-3667	26	9	j	j	NOUN
ejpam-3667	26	10	)	)	PUNCT
ejpam-3667	26	11	is	be	AUX
ejpam-3667	26	12	an	an	DET
ejpam-3667	26	13	infinite	infinite	ADJ
ejpam-3667	26	14	lower	low	ADJ
ejpam-3667	26	15	triangular	triangular	NOUN
ejpam-3667	26	16	matrix	matrix	NOUN
ejpam-3667	26	17	[	[	X
ejpam-3667	26	18	8	8	X
ejpam-3667	26	19	]	]	PUNCT
ejpam-3667	26	20	defined	define	VERB
ejpam-3667	26	21	by	by	ADP
ejpam-3667	26	22	hl	hl	PROPN
ejpam-3667	26	23	,	,	PUNCT
ejpam-3667	27	1	j	j	PROPN
ejpam-3667	27	2	≡	≡	PROPN
ejpam-3667	27	3			PROPN
ejpam-3667	27	4	(	(	PUNCT
ejpam-3667	27	5	l	l	NOUN
ejpam-3667	27	6	j	j	PROPN
ejpam-3667	27	7	)	)	PUNCT
ejpam-3667	27	8	∆l−jµj	∆l−jµj	NOUN
ejpam-3667	27	9	,	,	PUNCT
ejpam-3667	27	10	0	0	NUM
ejpam-3667	27	11	≤	≤	NUM
ejpam-3667	27	12	j	j	PROPN
ejpam-3667	27	13	≤	≤	PROPN
ejpam-3667	27	14	l	l	NOUN
ejpam-3667	27	15	;	;	PUNCT
ejpam-3667	27	16	0	0	NUM
ejpam-3667	27	17	,	,	PUNCT
ejpam-3667	27	18	j	j	PROPN
ejpam-3667	27	19	>	>	X
ejpam-3667	27	20	l	l	PROPN
ejpam-3667	27	21	,	,	PUNCT
ejpam-3667	27	22	where	where	SCONJ
ejpam-3667	27	23	the	the	DET
ejpam-3667	27	24	operator	operator	NOUN
ejpam-3667	27	25	∆	∆	PROPN
ejpam-3667	27	26	is	be	AUX
ejpam-3667	27	27	defined	define	VERB
ejpam-3667	27	28	∆µj	∆µj	PRON
ejpam-3667	27	29	≡	≡	PROPN
ejpam-3667	27	30	µj	µj	PROPN
ejpam-3667	28	1	−	−	PROPN
ejpam-3667	28	2	µj+1	µj+1	DET
ejpam-3667	28	3	and	and	CCONJ
ejpam-3667	28	4	∆l+1µj	∆l+1µj	VERB
ejpam-3667	28	5	≡	≡	PROPN
ejpam-3667	28	6	∆l(∆µj	∆l(∆µj	ADV
ejpam-3667	28	7	)	)	PUNCT
ejpam-3667	28	8	.	.	PUNCT
ejpam-3667	29	1	if	if	SCONJ
ejpam-3667	29	2	t∆h	t∆h	NOUN
ejpam-3667	29	3	l	l	NOUN
ejpam-3667	29	4	=	=	PUNCT
ejpam-3667	29	5	∑l	∑l	PROPN
ejpam-3667	29	6	m=0	m=0	PROPN
ejpam-3667	29	7	hl	hl	NOUN
ejpam-3667	29	8	,	,	PUNCT
ejpam-3667	29	9	msm	msm	NOUN
ejpam-3667	29	10	→	→	SYM
ejpam-3667	29	11	s	s	X
ejpam-3667	29	12	as	as	ADP
ejpam-3667	29	13	l→∞	l→∞	NUM
ejpam-3667	29	14	then	then	ADV
ejpam-3667	29	15	the	the	DET
ejpam-3667	29	16	series	series	NOUN
ejpam-3667	29	17	or	or	CCONJ
ejpam-3667	29	18	the	the	DET
ejpam-3667	29	19	sequence	sequence	NOUN
ejpam-3667	29	20	{	{	PUNCT
ejpam-3667	29	21	sl	sl	NOUN
ejpam-3667	29	22	}	}	PUNCT
ejpam-3667	29	23	is	be	AUX
ejpam-3667	29	24	summable	summable	ADJ
ejpam-3667	29	25	to	to	ADP
ejpam-3667	29	26	the	the	DET
ejpam-3667	29	27	sum	sum	NOUN
ejpam-3667	29	28	s	s	ADJ
ejpam-3667	29	29	by	by	ADP
ejpam-3667	29	30	the	the	DET
ejpam-3667	29	31	hausdorff	hausdorff	NOUN
ejpam-3667	29	32	method	method	NOUN
ejpam-3667	29	33	(	(	PUNCT
ejpam-3667	29	34	∆h	∆h	NOUN
ejpam-3667	29	35	method	method	NOUN
ejpam-3667	29	36	)	)	PUNCT
ejpam-3667	29	37	.	.	PUNCT
ejpam-3667	30	1	a	a	DET
ejpam-3667	30	2	hausdorff	hausdorff	NOUN
ejpam-3667	30	3	matrix	matrix	NOUN
ejpam-3667	30	4	h	h	NOUN
ejpam-3667	30	5	is	be	AUX
ejpam-3667	30	6	regular	regular	ADJ
ejpam-3667	30	7	,	,	PUNCT
ejpam-3667	30	8	i.e.	i.e.	X
ejpam-3667	30	9	,	,	PUNCT
ejpam-3667	30	10	h	h	PROPN
ejpam-3667	30	11	preserves	preserve	VERB
ejpam-3667	30	12	the	the	DET
ejpam-3667	30	13	limit	limit	NOUN
ejpam-3667	30	14	of	of	ADP
ejpam-3667	30	15	each	each	DET
ejpam-3667	30	16	convergent	convergent	NOUN
ejpam-3667	30	17	sequence	sequence	NOUN
ejpam-3667	30	18	iff	iff	PROPN
ejpam-3667	30	19	∫	∫	PROPN
ejpam-3667	30	20	1	1	NUM
ejpam-3667	30	21	0	0	NUM
ejpam-3667	30	22	|dξ(z)|	|dξ(z)|	NOUN
ejpam-3667	30	23	<	<	X
ejpam-3667	30	24	∞	∞	PROPN
ejpam-3667	30	25	,	,	PUNCT
ejpam-3667	30	26	where	where	SCONJ
ejpam-3667	30	27	the	the	DET
ejpam-3667	30	28	mass	mass	NOUN
ejpam-3667	30	29	function	function	NOUN
ejpam-3667	30	30	ξ	ξ	PROPN
ejpam-3667	30	31	∈	∈	PROPN
ejpam-3667	30	32	bv	bv	PROPN
ejpam-3667	31	1	[	[	X
ejpam-3667	31	2	0	0	NUM
ejpam-3667	31	3	,	,	PUNCT
ejpam-3667	31	4	1	1	NUM
ejpam-3667	31	5	]	]	PUNCT
ejpam-3667	31	6	,	,	PUNCT
ejpam-3667	31	7	ξ(0	ξ(0	VERB
ejpam-3667	31	8	+	+	NOUN
ejpam-3667	31	9	)	)	PUNCT
ejpam-3667	31	10	=	=	SYM
ejpam-3667	31	11	ξ(0	ξ(0	X
ejpam-3667	31	12	)	)	PUNCT
ejpam-3667	31	13	=	=	SYM
ejpam-3667	31	14	0	0	NUM
ejpam-3667	31	15	,	,	PUNCT
ejpam-3667	31	16	and	and	CCONJ
ejpam-3667	31	17	ξ(1	ξ(1	PROPN
ejpam-3667	31	18	)	)	PUNCT
ejpam-3667	31	19	=	=	SYM
ejpam-3667	32	1	1	1	X
ejpam-3667	32	2	.	.	PUNCT
ejpam-3667	33	1	in	in	ADP
ejpam-3667	33	2	this	this	DET
ejpam-3667	33	3	case	case	NOUN
ejpam-3667	33	4	,	,	PUNCT
ejpam-3667	33	5	µl	µl	ADP
ejpam-3667	33	6	has	have	VERB
ejpam-3667	33	7	the	the	DET
ejpam-3667	33	8	representation	representation	NOUN
ejpam-3667	33	9	µl	µl	ADP
ejpam-3667	33	10	=	=	SYM
ejpam-3667	33	11	∫	∫	PROPN
ejpam-3667	33	12	1	1	NUM
ejpam-3667	33	13	0	0	NUM
ejpam-3667	33	14	zldξ(z	zldξ(z	NUM
ejpam-3667	33	15	)	)	PUNCT
ejpam-3667	34	1	[	[	X
ejpam-3667	34	2	17	17	NUM
ejpam-3667	34	3	]	]	PUNCT
ejpam-3667	34	4	.	.	PUNCT
ejpam-3667	35	1	s.	s.	PROPN
ejpam-3667	35	2	rani	rani	PROPN
ejpam-3667	35	3	,	,	PUNCT
ejpam-3667	35	4	h.	h.	PROPN
ejpam-3667	35	5	k.	k.	PROPN
ejpam-3667	35	6	nigam	nigam	PROPN
ejpam-3667	35	7	/	/	SYM
ejpam-3667	35	8	eur	eur	PROPN
ejpam-3667	35	9	.	.	PUNCT
ejpam-3667	36	1	j.	j.	PROPN
ejpam-3667	36	2	pure	pure	PROPN
ejpam-3667	36	3	appl	appl	PROPN
ejpam-3667	36	4	.	.	PROPN
ejpam-3667	36	5	math	math	PROPN
ejpam-3667	36	6	,	,	PUNCT
ejpam-3667	36	7	13	13	NUM
ejpam-3667	36	8	(	(	PUNCT
ejpam-3667	36	9	2	2	NUM
ejpam-3667	36	10	)	)	PUNCT
ejpam-3667	36	11	(	(	PUNCT
ejpam-3667	36	12	2020	2020	NUM
ejpam-3667	36	13	)	)	PUNCT
ejpam-3667	36	14	,	,	PUNCT
ejpam-3667	36	15	351	351	NUM
ejpam-3667	36	16	-	-	SYM
ejpam-3667	36	17	368	368	NUM
ejpam-3667	36	18	353	353	NUM
ejpam-3667	36	19	superimposing	superimpose	VERB
ejpam-3667	36	20	t	t	NOUN
ejpam-3667	36	21	method	method	NOUN
ejpam-3667	36	22	on	on	ADP
ejpam-3667	36	23	∆h	∆h	PROPN
ejpam-3667	36	24	method	method	NOUN
ejpam-3667	36	25	,	,	PUNCT
ejpam-3667	36	26	(	(	PUNCT
ejpam-3667	36	27	t∆h	t∆h	NOUN
ejpam-3667	36	28	)	)	PUNCT
ejpam-3667	36	29	is	be	AUX
ejpam-3667	36	30	obtained	obtain	VERB
ejpam-3667	36	31	.	.	PUNCT
ejpam-3667	37	1	t∆h	t∆h	PROPN
ejpam-3667	37	2	mean	mean	PROPN
ejpam-3667	37	3	of	of	ADP
ejpam-3667	37	4	the	the	DET
ejpam-3667	37	5	sequence	sequence	NOUN
ejpam-3667	37	6	{	{	PUNCT
ejpam-3667	37	7	sl	sl	NOUN
ejpam-3667	37	8	}	}	PUNCT
ejpam-3667	37	9	is	be	AUX
ejpam-3667	37	10	given	give	VERB
ejpam-3667	37	11	by	by	ADP
ejpam-3667	37	12	tt∆h	tt∆h	PROPN
ejpam-3667	37	13	l	l	NOUN
ejpam-3667	37	14	:	:	PUNCT
ejpam-3667	37	15	=	=	SYM
ejpam-3667	37	16	l∑	l∑	X
ejpam-3667	37	17	j=0	j=0	PROPN
ejpam-3667	37	18	bl	bl	PROPN
ejpam-3667	37	19	,	,	PUNCT
ejpam-3667	37	20	jt	jt	PROPN
ejpam-3667	37	21	∆h	∆h	PROPN
ejpam-3667	38	1	j	j	PROPN
ejpam-3667	39	1	=	=	SYM
ejpam-3667	40	1	l∑	l∑	X
ejpam-3667	40	2	j=0	j=0	PROPN
ejpam-3667	40	3	bl	bl	PROPN
ejpam-3667	40	4	,	,	PUNCT
ejpam-3667	40	5	j	j	PROPN
ejpam-3667	40	6	j∑	j∑	PROPN
ejpam-3667	40	7	v=0	v=0	ADP
ejpam-3667	40	8	hj	hj	PROPN
ejpam-3667	40	9	,	,	PUNCT
ejpam-3667	40	10	vsv	vsv	PROPN
ejpam-3667	40	11	.	.	PUNCT
ejpam-3667	41	1	if	if	SCONJ
ejpam-3667	41	2	tt∆h	tt∆h	PROPN
ejpam-3667	41	3	l	l	PUNCT
ejpam-3667	41	4	→	→	SYM
ejpam-3667	41	5	s	s	X
ejpam-3667	41	6	as	as	ADP
ejpam-3667	41	7	l→∞	l→∞	NUM
ejpam-3667	41	8	,	,	PUNCT
ejpam-3667	41	9	then	then	ADV
ejpam-3667	41	10	{	{	PUNCT
ejpam-3667	41	11	sl	sl	NOUN
ejpam-3667	41	12	}	}	PUNCT
ejpam-3667	41	13	is	be	AUX
ejpam-3667	41	14	summable	summable	ADJ
ejpam-3667	41	15	by	by	ADP
ejpam-3667	41	16	the	the	DET
ejpam-3667	41	17	t∆h	t∆h	PROPN
ejpam-3667	41	18	means	mean	NOUN
ejpam-3667	41	19	to	to	ADP
ejpam-3667	41	20	the	the	DET
ejpam-3667	41	21	limit	limit	NOUN
ejpam-3667	41	22	s.	s.	PROPN
ejpam-3667	41	23	since	since	SCONJ
ejpam-3667	41	24	t	t	PROPN
ejpam-3667	41	25	and	and	CCONJ
ejpam-3667	41	26	∆h	∆h	PROPN
ejpam-3667	41	27	method	method	NOUN
ejpam-3667	41	28	are	be	AUX
ejpam-3667	41	29	regular	regular	ADJ
ejpam-3667	41	30	,	,	PUNCT
ejpam-3667	41	31	then	then	ADV
ejpam-3667	41	32	t∆h	t∆h	PROPN
ejpam-3667	41	33	method	method	NOUN
ejpam-3667	41	34	is	be	AUX
ejpam-3667	41	35	also	also	ADV
ejpam-3667	41	36	regular	regular	ADJ
ejpam-3667	41	37	.	.	PUNCT
ejpam-3667	42	1	this	this	PRON
ejpam-3667	42	2	can	can	AUX
ejpam-3667	42	3	be	be	AUX
ejpam-3667	42	4	shown	show	VERB
ejpam-3667	42	5	as	as	ADP
ejpam-3667	42	6	sl	sl	PROPN
ejpam-3667	42	7	→	→	SYM
ejpam-3667	42	8	s	s	PART
ejpam-3667	42	9	⇒	⇒	NOUN
ejpam-3667	42	10	t∆h	t∆h	PROPN
ejpam-3667	43	1	l	l	PROPN
ejpam-3667	43	2	→	→	SYM
ejpam-3667	43	3	s	s	X
ejpam-3667	43	4	,	,	PUNCT
ejpam-3667	43	5	as	as	ADP
ejpam-3667	43	6	l→∞	l→∞	NUM
ejpam-3667	43	7	,	,	PUNCT
ejpam-3667	43	8	since	since	SCONJ
ejpam-3667	43	9	the	the	DET
ejpam-3667	43	10	∆h	∆h	PROPN
ejpam-3667	43	11	method	method	NOUN
ejpam-3667	43	12	is	be	AUX
ejpam-3667	43	13	regular	regular	ADJ
ejpam-3667	43	14	,	,	PUNCT
ejpam-3667	43	15	⇒	⇒	PROPN
ejpam-3667	43	16	t	t	PROPN
ejpam-3667	43	17	(	(	PUNCT
ejpam-3667	43	18	t∆h	t∆h	PROPN
ejpam-3667	43	19	l	l	NOUN
ejpam-3667	43	20	)	)	PUNCT
ejpam-3667	44	1	=	=	PUNCT
ejpam-3667	44	2	tt∆h	tt∆h	PROPN
ejpam-3667	44	3	l	l	PUNCT
ejpam-3667	44	4	→	→	SYM
ejpam-3667	44	5	s	s	SYM
ejpam-3667	44	6	,	,	PUNCT
ejpam-3667	44	7	as	as	ADP
ejpam-3667	44	8	l→∞	l→∞	NUM
ejpam-3667	44	9	,	,	PUNCT
ejpam-3667	44	10	since	since	SCONJ
ejpam-3667	44	11	the	the	DET
ejpam-3667	44	12	t	t	NOUN
ejpam-3667	44	13	method	method	NOUN
ejpam-3667	44	14	is	be	AUX
ejpam-3667	44	15	regular	regular	ADJ
ejpam-3667	44	16	,	,	PUNCT
ejpam-3667	44	17	⇒	⇒	PROPN
ejpam-3667	44	18	t∆h	t∆h	PROPN
ejpam-3667	44	19	method	method	PROPN
ejpam-3667	44	20	is	be	AUX
ejpam-3667	44	21	regular	regular	ADJ
ejpam-3667	44	22	.	.	PUNCT
ejpam-3667	45	1	remark	remark	NOUN
ejpam-3667	45	2	1	1	NUM
ejpam-3667	45	3	.	.	PUNCT
ejpam-3667	46	1	t∆h	t∆h	PROPN
ejpam-3667	46	2	means	means	PROPN
ejpam-3667	46	3	reduces	reduce	VERB
ejpam-3667	46	4	to	to	ADP
ejpam-3667	46	5	(	(	PUNCT
ejpam-3667	46	6	i	i	NOUN
ejpam-3667	46	7	)	)	PUNCT
ejpam-3667	46	8	(	(	PUNCT
ejpam-3667	46	9	c	c	NOUN
ejpam-3667	46	10	,	,	PUNCT
ejpam-3667	46	11	α)∆h	α)∆h	NUM
ejpam-3667	46	12	or	or	CCONJ
ejpam-3667	46	13	cα∆h	cα∆h	PROPN
ejpam-3667	46	14	means	mean	VERB
ejpam-3667	46	15	when	when	SCONJ
ejpam-3667	46	16	bl	bl	VERB
ejpam-3667	46	17	,	,	PUNCT
ejpam-3667	46	18	j	j	PROPN
ejpam-3667	46	19	=	=	PRON
ejpam-3667	46	20	(	(	PUNCT
ejpam-3667	46	21	l−j+α−1	l−j+α−1	PROPN
ejpam-3667	46	22	α−1	α−1	PROPN
ejpam-3667	46	23	)	)	PUNCT
ejpam-3667	46	24	(	(	PUNCT
ejpam-3667	46	25	l+αα	l+αα	NOUN
ejpam-3667	46	26	)	)	PUNCT
ejpam-3667	46	27	for	for	ADP
ejpam-3667	46	28	all	all	DET
ejpam-3667	46	29	α	α	PRON
ejpam-3667	46	30	≥	≥	NOUN
ejpam-3667	46	31	−1	−1	NOUN
ejpam-3667	46	32	.	.	PUNCT
ejpam-3667	47	1	(	(	PUNCT
ejpam-3667	47	2	ii	ii	NOUN
ejpam-3667	47	3	)	)	PUNCT
ejpam-3667	47	4	(	(	PUNCT
ejpam-3667	47	5	h	h	NOUN
ejpam-3667	47	6	,	,	PUNCT
ejpam-3667	47	7	1	1	NUM
ejpam-3667	47	8	l+1	l+1	ADV
ejpam-3667	47	9	)	)	PUNCT
ejpam-3667	47	10	∆h	∆h	PROPN
ejpam-3667	47	11	or	or	CCONJ
ejpam-3667	47	12	h1	h1	PROPN
ejpam-3667	47	13	/	/	SYM
ejpam-3667	47	14	l+1∆h	l+1∆h	NOUN
ejpam-3667	47	15	means	mean	VERB
ejpam-3667	47	16	if	if	SCONJ
ejpam-3667	47	17	bl	bl	PROPN
ejpam-3667	47	18	,	,	PUNCT
ejpam-3667	47	19	j	j	PROPN
ejpam-3667	48	1	=	=	SYM
ejpam-3667	48	2	1	1	NUM
ejpam-3667	48	3	(	(	PUNCT
ejpam-3667	48	4	l−j+1	l−j+1	PROPN
ejpam-3667	48	5	)	)	PUNCT
ejpam-3667	48	6	log(l+1	log(l+1	PROPN
ejpam-3667	48	7	)	)	PUNCT
ejpam-3667	48	8	.	.	PUNCT
ejpam-3667	49	1	(	(	PUNCT
ejpam-3667	49	2	iii	iii	X
ejpam-3667	49	3	)	)	PUNCT
ejpam-3667	49	4	(	(	PUNCT
ejpam-3667	49	5	n	n	X
ejpam-3667	49	6	,	,	PUNCT
ejpam-3667	49	7	pl	pl	NOUN
ejpam-3667	49	8	,	,	PUNCT
ejpam-3667	49	9	ql)∆h	ql)∆h	PROPN
ejpam-3667	49	10	or	or	CCONJ
ejpam-3667	49	11	np	np	INTJ
ejpam-3667	49	12	,	,	PUNCT
ejpam-3667	49	13	q∆h	q∆h	NOUN
ejpam-3667	49	14	means	mean	VERB
ejpam-3667	49	15	if	if	SCONJ
ejpam-3667	49	16	bl	bl	PROPN
ejpam-3667	49	17	,	,	PUNCT
ejpam-3667	49	18	j	j	PROPN
ejpam-3667	50	1	=	=	PUNCT
ejpam-3667	50	2	pl−jqj	pl−jqj	ADP
ejpam-3667	50	3	rl	rl	X
ejpam-3667	50	4	,	,	PUNCT
ejpam-3667	50	5	rl	rl	PROPN
ejpam-3667	50	6	=	=	SYM
ejpam-3667	50	7	∑l	∑l	PROPN
ejpam-3667	50	8	j=0	j=0	PROPN
ejpam-3667	50	9	pjql−j	pjql−j	PROPN
ejpam-3667	50	10	.	.	PUNCT
ejpam-3667	51	1	(	(	PUNCT
ejpam-3667	51	2	iv	iv	X
ejpam-3667	51	3	)	)	PUNCT
ejpam-3667	51	4	(	(	PUNCT
ejpam-3667	51	5	n	n	X
ejpam-3667	51	6	,	,	PUNCT
ejpam-3667	51	7	pl)∆h	pl)∆h	PROPN
ejpam-3667	51	8	or	or	CCONJ
ejpam-3667	51	9	np∆h	np∆h	PROPN
ejpam-3667	51	10	means	mean	NOUN
ejpam-3667	51	11	if	if	SCONJ
ejpam-3667	51	12	bl	bl	PROPN
ejpam-3667	51	13	,	,	PUNCT
ejpam-3667	51	14	j	j	PROPN
ejpam-3667	51	15	=	=	PROPN
ejpam-3667	51	16	pl−j	pl−j	PROPN
ejpam-3667	51	17	pl	pl	INTJ
ejpam-3667	51	18	where	where	SCONJ
ejpam-3667	51	19	pl	pl	PROPN
ejpam-3667	51	20	=	=	SYM
ejpam-3667	51	21	∑l	∑l	PROPN
ejpam-3667	51	22	j=0	j=0	PROPN
ejpam-3667	51	23	pj	pj	PROPN
ejpam-3667	51	24	,	,	PUNCT
ejpam-3667	51	25	ql	ql	X
ejpam-3667	51	26	=	=	SYM
ejpam-3667	51	27	1	1	X
ejpam-3667	51	28	.	.	PUNCT
ejpam-3667	52	1	(	(	PUNCT
ejpam-3667	52	2	v	v	NOUN
ejpam-3667	52	3	)	)	PUNCT
ejpam-3667	52	4	(	(	PUNCT
ejpam-3667	52	5	ñ	ñ	VERB
ejpam-3667	52	6	,	,	PUNCT
ejpam-3667	52	7	pl)∆h	pl)∆h	PROPN
ejpam-3667	52	8	or	or	CCONJ
ejpam-3667	52	9	ñp∆h	ñp∆h	ADJ
ejpam-3667	52	10	means	mean	VERB
ejpam-3667	52	11	if	if	SCONJ
ejpam-3667	52	12	bl	bl	PROPN
ejpam-3667	52	13	,	,	PUNCT
ejpam-3667	52	14	j	j	PROPN
ejpam-3667	53	1	=	=	SYM
ejpam-3667	53	2	pj	pj	PROPN
ejpam-3667	53	3	pl	pl	X
ejpam-3667	53	4	,	,	PUNCT
ejpam-3667	53	5	ql	ql	X
ejpam-3667	53	6	=	=	SYM
ejpam-3667	53	7	1	1	NUM
ejpam-3667	53	8	∀	∀	X
ejpam-3667	53	9	l.	l.	X
ejpam-3667	53	10	(	(	PUNCT
ejpam-3667	53	11	vi	vi	PROPN
ejpam-3667	53	12	)	)	PUNCT
ejpam-3667	53	13	(	(	PUNCT
ejpam-3667	53	14	e	e	X
ejpam-3667	53	15	,	,	PUNCT
ejpam-3667	53	16	ql)∆h	ql)∆h	PROPN
ejpam-3667	53	17	or	or	CCONJ
ejpam-3667	53	18	eq∆h	eq∆h	PROPN
ejpam-3667	53	19	means	mean	VERB
ejpam-3667	53	20	if	if	SCONJ
ejpam-3667	53	21	bl	bl	PROPN
ejpam-3667	53	22	,	,	PUNCT
ejpam-3667	53	23	j	j	PROPN
ejpam-3667	53	24	=	=	SYM
ejpam-3667	53	25	1	1	NUM
ejpam-3667	53	26	(	(	PUNCT
ejpam-3667	53	27	1+q)l	1+q)l	NUM
ejpam-3667	53	28	(	(	PUNCT
ejpam-3667	53	29	l	l	NOUN
ejpam-3667	53	30	j	j	PROPN
ejpam-3667	53	31	)	)	PUNCT
ejpam-3667	53	32	ql−j	ql−j	NOUN
ejpam-3667	53	33	.	.	PUNCT
ejpam-3667	54	1	(	(	PUNCT
ejpam-3667	54	2	vii	vii	PROPN
ejpam-3667	54	3	)	)	PUNCT
ejpam-3667	54	4	t	t	PROPN
ejpam-3667	54	5	(	(	PUNCT
ejpam-3667	54	6	c	c	X
ejpam-3667	54	7	,	,	PUNCT
ejpam-3667	54	8	α	α	NOUN
ejpam-3667	54	9	)	)	PUNCT
ejpam-3667	54	10	or	or	CCONJ
ejpam-3667	54	11	tcα	tcα	PRON
ejpam-3667	54	12	means	mean	VERB
ejpam-3667	54	13	if	if	SCONJ
ejpam-3667	54	14	ξ(z	ξ(z	NOUN
ejpam-3667	54	15	)	)	PUNCT
ejpam-3667	54	16	=	=	PUNCT
ejpam-3667	54	17	∏α	∏α	PROPN
ejpam-3667	54	18	j=1	j=1	PROPN
ejpam-3667	54	19	z	z	PROPN
ejpam-3667	54	20	j	j	PROPN
ejpam-3667	54	21	,	,	PUNCT
ejpam-3667	54	22	α	α	PROPN
ejpam-3667	54	23	≥	≥	NUM
ejpam-3667	54	24	1	1	NUM
ejpam-3667	54	25	.	.	PUNCT
ejpam-3667	55	1	(	(	PUNCT
ejpam-3667	55	2	viii	viii	NOUN
ejpam-3667	55	3	)	)	PUNCT
ejpam-3667	55	4	t	t	NOUN
ejpam-3667	55	5	(	(	PUNCT
ejpam-3667	55	6	e	e	NOUN
ejpam-3667	55	7	,	,	PUNCT
ejpam-3667	55	8	ql	ql	NOUN
ejpam-3667	55	9	)	)	PUNCT
ejpam-3667	55	10	or	or	CCONJ
ejpam-3667	55	11	teq	teq	PROPN
ejpam-3667	55	12	means	mean	VERB
ejpam-3667	55	13	if	if	SCONJ
ejpam-3667	55	14	hl	hl	PROPN
ejpam-3667	55	15	,	,	PUNCT
ejpam-3667	55	16	j	j	PROPN
ejpam-3667	55	17	=	=	PRON
ejpam-3667	55	18	(	(	PUNCT
ejpam-3667	55	19	l	l	PROPN
ejpam-3667	55	20	j	j	PROPN
ejpam-3667	55	21	)	)	PUNCT
ejpam-3667	55	22	ql−j	ql−j	NOUN
ejpam-3667	55	23	(	(	PUNCT
ejpam-3667	55	24	1+q)l	1+q)l	NUM
ejpam-3667	55	25	,	,	PUNCT
ejpam-3667	55	26	0	0	NUM
ejpam-3667	55	27	≤	≤	NUM
ejpam-3667	55	28	j	j	PROPN
ejpam-3667	55	29	≤	≤	PROPN
ejpam-3667	55	30	l.	l.	NOUN
ejpam-3667	55	31	in	in	ADP
ejpam-3667	55	32	above	above	ADP
ejpam-3667	55	33	remark	remark	NOUN
ejpam-3667	55	34	1	1	NUM
ejpam-3667	55	35	(	(	PUNCT
ejpam-3667	55	36	iii	iii	NOUN
ejpam-3667	55	37	)	)	PUNCT
ejpam-3667	55	38	,	,	PUNCT
ejpam-3667	55	39	(	(	PUNCT
ejpam-3667	55	40	iv	iv	X
ejpam-3667	55	41	)	)	PUNCT
ejpam-3667	55	42	and	and	CCONJ
ejpam-3667	55	43	(	(	PUNCT
ejpam-3667	55	44	v	v	NOUN
ejpam-3667	55	45	)	)	PUNCT
ejpam-3667	55	46	,	,	PUNCT
ejpam-3667	55	47	{	{	PUNCT
ejpam-3667	55	48	pl	pl	NOUN
ejpam-3667	55	49	}	}	PUNCT
ejpam-3667	55	50	and	and	CCONJ
ejpam-3667	55	51	{	{	PUNCT
ejpam-3667	55	52	ql	ql	X
ejpam-3667	55	53	}	}	PUNCT
ejpam-3667	55	54	are	be	AUX
ejpam-3667	55	55	two	two	NUM
ejpam-3667	55	56	non	non	ADJ
ejpam-3667	55	57	-	-	ADJ
ejpam-3667	55	58	negative	negative	ADJ
ejpam-3667	55	59	monotonic	monotonic	ADJ
ejpam-3667	55	60	non	non	ADJ
ejpam-3667	55	61	-	-	ADJ
ejpam-3667	55	62	decreasing	decrease	VERB
ejpam-3667	55	63	sequence	sequence	NOUN
ejpam-3667	55	64	of	of	ADP
ejpam-3667	55	65	real	real	ADJ
ejpam-3667	55	66	constants	constant	NOUN
ejpam-3667	55	67	.	.	PUNCT
ejpam-3667	56	1	remark	remark	NOUN
ejpam-3667	56	2	2	2	NUM
ejpam-3667	56	3	.	.	PUNCT
ejpam-3667	57	1	(	(	PUNCT
ejpam-3667	57	2	i	i	NOUN
ejpam-3667	57	3	)	)	PUNCT
ejpam-3667	57	4	(	(	PUNCT
ejpam-3667	57	5	c	c	NOUN
ejpam-3667	57	6	,	,	PUNCT
ejpam-3667	57	7	α)∆h	α)∆h	NUM
ejpam-3667	57	8	or	or	CCONJ
ejpam-3667	57	9	cα∆h	cα∆h	PROPN
ejpam-3667	57	10	means	mean	VERB
ejpam-3667	57	11	further	further	ADJ
ejpam-3667	57	12	reduces	reduce	NOUN
ejpam-3667	57	13	to	to	ADP
ejpam-3667	57	14	s.	s.	PROPN
ejpam-3667	57	15	rani	rani	PROPN
ejpam-3667	57	16	,	,	PUNCT
ejpam-3667	57	17	h.	h.	PROPN
ejpam-3667	57	18	k.	k.	PROPN
ejpam-3667	57	19	nigam	nigam	PROPN
ejpam-3667	57	20	/	/	SYM
ejpam-3667	57	21	eur	eur	PROPN
ejpam-3667	57	22	.	.	PUNCT
ejpam-3667	58	1	j.	j.	PROPN
ejpam-3667	58	2	pure	pure	PROPN
ejpam-3667	58	3	appl	appl	PROPN
ejpam-3667	58	4	.	.	PROPN
ejpam-3667	58	5	math	math	PROPN
ejpam-3667	58	6	,	,	PUNCT
ejpam-3667	58	7	13	13	NUM
ejpam-3667	58	8	(	(	PUNCT
ejpam-3667	58	9	2	2	NUM
ejpam-3667	58	10	)	)	PUNCT
ejpam-3667	58	11	(	(	PUNCT
ejpam-3667	58	12	2020	2020	NUM
ejpam-3667	58	13	)	)	PUNCT
ejpam-3667	58	14	,	,	PUNCT
ejpam-3667	58	15	351	351	NUM
ejpam-3667	58	16	-	-	SYM
ejpam-3667	58	17	368	368	NUM
ejpam-3667	58	18	354	354	NUM
ejpam-3667	58	19	(	(	PUNCT
ejpam-3667	58	20	a	a	NOUN
ejpam-3667	58	21	)	)	PUNCT
ejpam-3667	58	22	(	(	PUNCT
ejpam-3667	58	23	c	c	X
ejpam-3667	58	24	,	,	PUNCT
ejpam-3667	58	25	α)(c	α)(c	NUM
ejpam-3667	58	26	,	,	PUNCT
ejpam-3667	58	27	α	α	NOUN
ejpam-3667	58	28	)	)	PUNCT
ejpam-3667	58	29	or	or	CCONJ
ejpam-3667	58	30	cαcα	cαcα	NOUN
ejpam-3667	58	31	means	mean	VERB
ejpam-3667	58	32	if	if	SCONJ
ejpam-3667	58	33	ξ(z	ξ(z	NOUN
ejpam-3667	58	34	)	)	PUNCT
ejpam-3667	58	35	=	=	PUNCT
ejpam-3667	58	36	∏α	∏α	PROPN
ejpam-3667	58	37	j=1	j=1	PROPN
ejpam-3667	58	38	z	z	PROPN
ejpam-3667	58	39	j	j	PROPN
ejpam-3667	58	40	,	,	PUNCT
ejpam-3667	58	41	α	α	PROPN
ejpam-3667	58	42	≥	≥	NUM
ejpam-3667	58	43	1	1	NUM
ejpam-3667	58	44	.	.	PUNCT
ejpam-3667	59	1	(	(	PUNCT
ejpam-3667	59	2	b	b	X
ejpam-3667	59	3	)	)	PUNCT
ejpam-3667	59	4	(	(	PUNCT
ejpam-3667	59	5	c	c	X
ejpam-3667	59	6	,	,	PUNCT
ejpam-3667	59	7	α)(e	α)(e	NUM
ejpam-3667	59	8	,	,	PUNCT
ejpam-3667	59	9	ql	ql	NOUN
ejpam-3667	59	10	)	)	PUNCT
ejpam-3667	59	11	or	or	CCONJ
ejpam-3667	59	12	cαeq	cαeq	NOUN
ejpam-3667	59	13	means	mean	VERB
ejpam-3667	59	14	if	if	SCONJ
ejpam-3667	59	15	hl	hl	PROPN
ejpam-3667	59	16	,	,	PUNCT
ejpam-3667	59	17	j	j	PROPN
ejpam-3667	59	18	=	=	PRON
ejpam-3667	59	19	(	(	PUNCT
ejpam-3667	59	20	l	l	PROPN
ejpam-3667	59	21	j	j	PROPN
ejpam-3667	59	22	)	)	PUNCT
ejpam-3667	59	23	ql−j	ql−j	NOUN
ejpam-3667	59	24	(	(	PUNCT
ejpam-3667	59	25	1+q)l	1+q)l	NUM
ejpam-3667	59	26	,	,	PUNCT
ejpam-3667	59	27	0	0	NUM
ejpam-3667	59	28	≤	≤	NUM
ejpam-3667	60	1	j	j	PROPN
ejpam-3667	60	2	≤	≤	PROPN
ejpam-3667	60	3	l.	l.	PROPN
ejpam-3667	60	4	(	(	PUNCT
ejpam-3667	60	5	c	c	NOUN
ejpam-3667	60	6	)	)	PUNCT
ejpam-3667	60	7	(	(	PUNCT
ejpam-3667	60	8	c	c	X
ejpam-3667	60	9	,	,	PUNCT
ejpam-3667	60	10	1)∆h	1)∆h	NUM
ejpam-3667	60	11	or	or	CCONJ
ejpam-3667	60	12	c1∆h	c1∆h	NOUN
ejpam-3667	60	13	means	mean	VERB
ejpam-3667	60	14	if	if	SCONJ
ejpam-3667	60	15	α	α	NOUN
ejpam-3667	60	16	=	=	SYM
ejpam-3667	60	17	1	1	X
ejpam-3667	60	18	.	.	PUNCT
ejpam-3667	60	19	(	(	PUNCT
ejpam-3667	60	20	ii	ii	NOUN
ejpam-3667	60	21	)	)	PUNCT
ejpam-3667	60	22	(	(	PUNCT
ejpam-3667	60	23	h	h	NOUN
ejpam-3667	60	24	,	,	PUNCT
ejpam-3667	60	25	1	1	NUM
ejpam-3667	60	26	l+1	l+1	ADV
ejpam-3667	60	27	)	)	PUNCT
ejpam-3667	60	28	∆h	∆h	PROPN
ejpam-3667	60	29	or	or	CCONJ
ejpam-3667	60	30	h1	h1	PROPN
ejpam-3667	60	31	/	/	SYM
ejpam-3667	60	32	l+1∆h	l+1∆h	NOUN
ejpam-3667	60	33	means	mean	VERB
ejpam-3667	60	34	further	far	ADV
ejpam-3667	60	35	reduces	reduce	VERB
ejpam-3667	60	36	to	to	ADP
ejpam-3667	60	37	(	(	PUNCT
ejpam-3667	60	38	a	a	X
ejpam-3667	60	39	)	)	PUNCT
ejpam-3667	60	40	(	(	PUNCT
ejpam-3667	60	41	h	h	NOUN
ejpam-3667	60	42	,	,	PUNCT
ejpam-3667	60	43	1	1	NUM
ejpam-3667	60	44	l+1	l+1	ADV
ejpam-3667	60	45	)	)	PUNCT
ejpam-3667	60	46	(	(	PUNCT
ejpam-3667	60	47	c	c	X
ejpam-3667	60	48	,	,	PUNCT
ejpam-3667	60	49	α	α	NOUN
ejpam-3667	60	50	)	)	PUNCT
ejpam-3667	60	51	or	or	CCONJ
ejpam-3667	60	52	h1	h1	PROPN
ejpam-3667	60	53	/	/	SYM
ejpam-3667	60	54	l+1cα	l+1cα	PROPN
ejpam-3667	60	55	means	mean	VERB
ejpam-3667	60	56	if	if	SCONJ
ejpam-3667	60	57	ξ(z	ξ(z	NOUN
ejpam-3667	60	58	)	)	PUNCT
ejpam-3667	60	59	=	=	PUNCT
ejpam-3667	60	60	∏α	∏α	PROPN
ejpam-3667	60	61	j=1	j=1	PROPN
ejpam-3667	60	62	z	z	PROPN
ejpam-3667	60	63	j	j	PROPN
ejpam-3667	60	64	,	,	PUNCT
ejpam-3667	60	65	α	α	PROPN
ejpam-3667	60	66	≥	≥	NUM
ejpam-3667	60	67	1	1	NUM
ejpam-3667	60	68	.	.	PUNCT
ejpam-3667	61	1	(	(	PUNCT
ejpam-3667	61	2	b	b	X
ejpam-3667	61	3	)	)	PUNCT
ejpam-3667	61	4	(	(	PUNCT
ejpam-3667	61	5	h	h	NOUN
ejpam-3667	61	6	,	,	PUNCT
ejpam-3667	61	7	1	1	NUM
ejpam-3667	61	8	l+1	l+1	ADV
ejpam-3667	61	9	)	)	PUNCT
ejpam-3667	61	10	(	(	PUNCT
ejpam-3667	61	11	e	e	NOUN
ejpam-3667	61	12	,	,	PUNCT
ejpam-3667	61	13	ql	ql	NOUN
ejpam-3667	61	14	)	)	PUNCT
ejpam-3667	61	15	or	or	CCONJ
ejpam-3667	61	16	h1	h1	PROPN
ejpam-3667	61	17	/	/	SYM
ejpam-3667	61	18	l+1eq	l+1eq	PROPN
ejpam-3667	61	19	if	if	SCONJ
ejpam-3667	61	20	hl	hl	NOUN
ejpam-3667	61	21	,	,	PUNCT
ejpam-3667	61	22	j	j	PROPN
ejpam-3667	61	23	=	=	PRON
ejpam-3667	61	24	(	(	PUNCT
ejpam-3667	61	25	l	l	PROPN
ejpam-3667	61	26	j	j	PROPN
ejpam-3667	61	27	)	)	PUNCT
ejpam-3667	61	28	ql−j	ql−j	NOUN
ejpam-3667	61	29	(	(	PUNCT
ejpam-3667	61	30	1+q)l	1+q)l	NUM
ejpam-3667	61	31	,	,	PUNCT
ejpam-3667	61	32	0	0	NUM
ejpam-3667	61	33	≤	≤	NUM
ejpam-3667	61	34	j	j	PROPN
ejpam-3667	61	35	≤	≤	PROPN
ejpam-3667	61	36	l.	l.	PROPN
ejpam-3667	61	37	(	(	PUNCT
ejpam-3667	61	38	iii	iii	PROPN
ejpam-3667	61	39	)	)	PUNCT
ejpam-3667	61	40	(	(	PUNCT
ejpam-3667	61	41	n	n	X
ejpam-3667	61	42	,	,	PUNCT
ejpam-3667	61	43	pl	pl	NOUN
ejpam-3667	61	44	,	,	PUNCT
ejpam-3667	61	45	ql)∆h	ql)∆h	PROPN
ejpam-3667	61	46	or	or	CCONJ
ejpam-3667	61	47	np	np	INTJ
ejpam-3667	61	48	,	,	PUNCT
ejpam-3667	61	49	q∆h	q∆h	NOUN
ejpam-3667	61	50	means	mean	VERB
ejpam-3667	61	51	further	far	ADV
ejpam-3667	61	52	reduces	reduce	VERB
ejpam-3667	61	53	to	to	ADP
ejpam-3667	61	54	(	(	PUNCT
ejpam-3667	61	55	a	a	X
ejpam-3667	61	56	)	)	PUNCT
ejpam-3667	61	57	(	(	PUNCT
ejpam-3667	61	58	n	n	X
ejpam-3667	61	59	,	,	PUNCT
ejpam-3667	61	60	pl	pl	NOUN
ejpam-3667	61	61	,	,	PUNCT
ejpam-3667	61	62	ql)(c	ql)(c	PROPN
ejpam-3667	61	63	,	,	PUNCT
ejpam-3667	61	64	α	α	NOUN
ejpam-3667	61	65	)	)	PUNCT
ejpam-3667	61	66	or	or	CCONJ
ejpam-3667	61	67	np	np	INTJ
ejpam-3667	61	68	,	,	PUNCT
ejpam-3667	61	69	qcα	qcα	NOUN
ejpam-3667	61	70	means	mean	VERB
ejpam-3667	61	71	if	if	SCONJ
ejpam-3667	61	72	ξ(z	ξ(z	NOUN
ejpam-3667	61	73	)	)	PUNCT
ejpam-3667	61	74	=	=	PUNCT
ejpam-3667	61	75	∏α	∏α	PROPN
ejpam-3667	61	76	j=1	j=1	PROPN
ejpam-3667	61	77	z	z	PROPN
ejpam-3667	61	78	j	j	PROPN
ejpam-3667	61	79	,	,	PUNCT
ejpam-3667	61	80	α	α	PROPN
ejpam-3667	61	81	≥	≥	NUM
ejpam-3667	61	82	1	1	NUM
ejpam-3667	61	83	.	.	PUNCT
ejpam-3667	62	1	(	(	PUNCT
ejpam-3667	62	2	b	b	X
ejpam-3667	62	3	)	)	PUNCT
ejpam-3667	62	4	(	(	PUNCT
ejpam-3667	62	5	n	n	X
ejpam-3667	62	6	,	,	PUNCT
ejpam-3667	62	7	pl	pl	NOUN
ejpam-3667	62	8	,	,	PUNCT
ejpam-3667	62	9	ql)(e	ql)(e	PROPN
ejpam-3667	62	10	,	,	PUNCT
ejpam-3667	62	11	ql	ql	NOUN
ejpam-3667	62	12	)	)	PUNCT
ejpam-3667	62	13	or	or	CCONJ
ejpam-3667	62	14	np	np	INTJ
ejpam-3667	62	15	,	,	PUNCT
ejpam-3667	62	16	qeq	qeq	NOUN
ejpam-3667	62	17	means	mean	VERB
ejpam-3667	62	18	if	if	SCONJ
ejpam-3667	62	19	hl	hl	PROPN
ejpam-3667	62	20	,	,	PUNCT
ejpam-3667	62	21	j	j	PROPN
ejpam-3667	62	22	=	=	PRON
ejpam-3667	62	23	(	(	PUNCT
ejpam-3667	62	24	l	l	PROPN
ejpam-3667	62	25	j	j	PROPN
ejpam-3667	62	26	)	)	PUNCT
ejpam-3667	62	27	ql−j	ql−j	NOUN
ejpam-3667	62	28	(	(	PUNCT
ejpam-3667	62	29	1+q)l	1+q)l	NUM
ejpam-3667	62	30	,	,	PUNCT
ejpam-3667	62	31	0	0	NUM
ejpam-3667	62	32	≤	≤	NUM
ejpam-3667	62	33	j	j	PROPN
ejpam-3667	62	34	≤	≤	PROPN
ejpam-3667	62	35	l.	l.	PROPN
ejpam-3667	62	36	(	(	PUNCT
ejpam-3667	62	37	iv	iv	PROPN
ejpam-3667	62	38	)	)	PUNCT
ejpam-3667	62	39	(	(	PUNCT
ejpam-3667	62	40	n	n	X
ejpam-3667	62	41	,	,	PUNCT
ejpam-3667	62	42	pl)∆h	pl)∆h	PROPN
ejpam-3667	62	43	or	or	CCONJ
ejpam-3667	62	44	np∆h	np∆h	PROPN
ejpam-3667	62	45	means	mean	NOUN
ejpam-3667	62	46	further	far	ADV
ejpam-3667	62	47	reduces	reduce	VERB
ejpam-3667	62	48	to	to	ADP
ejpam-3667	62	49	(	(	PUNCT
ejpam-3667	62	50	a	a	X
ejpam-3667	62	51	)	)	PUNCT
ejpam-3667	62	52	(	(	PUNCT
ejpam-3667	62	53	n	n	CCONJ
ejpam-3667	62	54	,	,	PUNCT
ejpam-3667	62	55	pl)(c	pl)(c	PROPN
ejpam-3667	62	56	,	,	PUNCT
ejpam-3667	62	57	α	α	NOUN
ejpam-3667	62	58	)	)	PUNCT
ejpam-3667	62	59	or	or	CCONJ
ejpam-3667	62	60	npcα	npcα	ADJ
ejpam-3667	62	61	means	mean	VERB
ejpam-3667	62	62	if	if	SCONJ
ejpam-3667	62	63	ξ(z	ξ(z	NOUN
ejpam-3667	62	64	)	)	PUNCT
ejpam-3667	62	65	=	=	PUNCT
ejpam-3667	62	66	∏α	∏α	PROPN
ejpam-3667	63	1	j=1	j=1	PROPN
ejpam-3667	63	2	z	z	PROPN
ejpam-3667	63	3	j	j	PROPN
ejpam-3667	63	4	,	,	PUNCT
ejpam-3667	63	5	α	α	PROPN
ejpam-3667	63	6	≥	≥	NUM
ejpam-3667	63	7	1	1	NUM
ejpam-3667	63	8	.	.	PUNCT
ejpam-3667	64	1	(	(	PUNCT
ejpam-3667	64	2	b	b	X
ejpam-3667	64	3	)	)	PUNCT
ejpam-3667	64	4	(	(	PUNCT
ejpam-3667	64	5	n	n	CCONJ
ejpam-3667	64	6	,	,	PUNCT
ejpam-3667	64	7	pl)(e	pl)(e	PROPN
ejpam-3667	64	8	,	,	PUNCT
ejpam-3667	64	9	ql	ql	NOUN
ejpam-3667	64	10	)	)	PUNCT
ejpam-3667	64	11	or	or	CCONJ
ejpam-3667	64	12	npeq	npeq	VERB
ejpam-3667	64	13	means	mean	VERB
ejpam-3667	64	14	if	if	SCONJ
ejpam-3667	64	15	hl	hl	PROPN
ejpam-3667	64	16	,	,	PUNCT
ejpam-3667	64	17	j	j	PROPN
ejpam-3667	64	18	=	=	PRON
ejpam-3667	64	19	(	(	PUNCT
ejpam-3667	64	20	l	l	PROPN
ejpam-3667	64	21	j	j	PROPN
ejpam-3667	64	22	)	)	PUNCT
ejpam-3667	64	23	ql−j	ql−j	NOUN
ejpam-3667	64	24	(	(	PUNCT
ejpam-3667	64	25	1+q)l	1+q)l	NUM
ejpam-3667	64	26	,	,	PUNCT
ejpam-3667	64	27	0	0	NUM
ejpam-3667	64	28	≤	≤	NUM
ejpam-3667	65	1	j	j	PROPN
ejpam-3667	65	2	≤	≤	PROPN
ejpam-3667	65	3	l.	l.	PROPN
ejpam-3667	65	4	(	(	PUNCT
ejpam-3667	65	5	v	v	NOUN
ejpam-3667	65	6	)	)	PUNCT
ejpam-3667	65	7	(	(	PUNCT
ejpam-3667	65	8	ñ	ñ	VERB
ejpam-3667	65	9	,	,	PUNCT
ejpam-3667	65	10	pl)∆h	pl)∆h	PROPN
ejpam-3667	65	11	or	or	CCONJ
ejpam-3667	65	12	ñp∆h	ñp∆h	PROPN
ejpam-3667	65	13	means	mean	VERB
ejpam-3667	65	14	further	far	ADV
ejpam-3667	65	15	reduces	reduce	VERB
ejpam-3667	65	16	to	to	ADP
ejpam-3667	65	17	(	(	PUNCT
ejpam-3667	65	18	a	a	X
ejpam-3667	65	19	)	)	PUNCT
ejpam-3667	65	20	(	(	PUNCT
ejpam-3667	65	21	ñ	ñ	VERB
ejpam-3667	65	22	,	,	PUNCT
ejpam-3667	65	23	pl)(c	pl)(c	PROPN
ejpam-3667	65	24	,	,	PUNCT
ejpam-3667	65	25	α	α	NOUN
ejpam-3667	65	26	)	)	PUNCT
ejpam-3667	65	27	or	or	CCONJ
ejpam-3667	65	28	ñpcα	ñpcα	NUM
ejpam-3667	65	29	means	mean	VERB
ejpam-3667	65	30	if	if	SCONJ
ejpam-3667	65	31	ξ(z	ξ(z	NOUN
ejpam-3667	65	32	)	)	PUNCT
ejpam-3667	65	33	=	=	PUNCT
ejpam-3667	65	34	∏α	∏α	PROPN
ejpam-3667	65	35	j=1	j=1	PROPN
ejpam-3667	65	36	z	z	PROPN
ejpam-3667	65	37	j	j	PROPN
ejpam-3667	65	38	,	,	PUNCT
ejpam-3667	65	39	α	α	PROPN
ejpam-3667	65	40	≥	≥	NUM
ejpam-3667	65	41	1	1	NUM
ejpam-3667	65	42	.	.	PUNCT
ejpam-3667	66	1	(	(	PUNCT
ejpam-3667	66	2	b	b	X
ejpam-3667	66	3	)	)	PUNCT
ejpam-3667	66	4	(	(	PUNCT
ejpam-3667	66	5	ñ	ñ	PROPN
ejpam-3667	66	6	,	,	PUNCT
ejpam-3667	66	7	pl)(e	pl)(e	PROPN
ejpam-3667	66	8	,	,	PUNCT
ejpam-3667	66	9	ql	ql	NOUN
ejpam-3667	66	10	)	)	PUNCT
ejpam-3667	66	11	or	or	CCONJ
ejpam-3667	66	12	ñpeq	ñpeq	NOUN
ejpam-3667	66	13	means	mean	VERB
ejpam-3667	66	14	if	if	SCONJ
ejpam-3667	66	15	hl	hl	PROPN
ejpam-3667	66	16	,	,	PUNCT
ejpam-3667	66	17	j	j	PROPN
ejpam-3667	66	18	=	=	PRON
ejpam-3667	66	19	(	(	PUNCT
ejpam-3667	66	20	l	l	PROPN
ejpam-3667	66	21	j	j	PROPN
ejpam-3667	66	22	)	)	PUNCT
ejpam-3667	66	23	ql−j	ql−j	NOUN
ejpam-3667	66	24	(	(	PUNCT
ejpam-3667	66	25	1+q)l	1+q)l	NUM
ejpam-3667	66	26	,	,	PUNCT
ejpam-3667	66	27	0	0	NUM
ejpam-3667	66	28	≤	≤	NUM
ejpam-3667	66	29	j	j	PROPN
ejpam-3667	66	30	≤	≤	PROPN
ejpam-3667	66	31	l.	l.	PROPN
ejpam-3667	66	32	(	(	PUNCT
ejpam-3667	66	33	vi	vi	PROPN
ejpam-3667	66	34	)	)	PUNCT
ejpam-3667	66	35	(	(	PUNCT
ejpam-3667	66	36	e	e	X
ejpam-3667	66	37	,	,	PUNCT
ejpam-3667	66	38	ql)∆h	ql)∆h	PROPN
ejpam-3667	66	39	or	or	CCONJ
ejpam-3667	66	40	eq∆h	eq∆h	PROPN
ejpam-3667	66	41	means	means	AUX
ejpam-3667	66	42	further	further	ADJ
ejpam-3667	66	43	reduces	reduce	VERB
ejpam-3667	66	44	to	to	ADP
ejpam-3667	66	45	(	(	PUNCT
ejpam-3667	66	46	a	a	X
ejpam-3667	66	47	)	)	PUNCT
ejpam-3667	66	48	(	(	PUNCT
ejpam-3667	66	49	e	e	NOUN
ejpam-3667	66	50	,	,	PUNCT
ejpam-3667	66	51	ql)(c	ql)(c	PROPN
ejpam-3667	66	52	,	,	PUNCT
ejpam-3667	66	53	α	α	NOUN
ejpam-3667	66	54	)	)	PUNCT
ejpam-3667	66	55	or	or	CCONJ
ejpam-3667	66	56	eqcα	eqcα	NOUN
ejpam-3667	66	57	means	mean	VERB
ejpam-3667	66	58	if	if	SCONJ
ejpam-3667	66	59	ξ(z	ξ(z	NOUN
ejpam-3667	66	60	)	)	PUNCT
ejpam-3667	66	61	=	=	PUNCT
ejpam-3667	66	62	∏α	∏α	PROPN
ejpam-3667	67	1	j=1	j=1	PROPN
ejpam-3667	67	2	z	z	PROPN
ejpam-3667	67	3	j	j	PROPN
ejpam-3667	67	4	,	,	PUNCT
ejpam-3667	67	5	α	α	PROPN
ejpam-3667	67	6	≥	≥	NUM
ejpam-3667	67	7	1	1	NUM
ejpam-3667	67	8	.	.	PUNCT
ejpam-3667	68	1	(	(	PUNCT
ejpam-3667	68	2	b	b	X
ejpam-3667	68	3	)	)	PUNCT
ejpam-3667	68	4	(	(	PUNCT
ejpam-3667	68	5	e	e	NOUN
ejpam-3667	68	6	,	,	PUNCT
ejpam-3667	68	7	ql)(e	ql)(e	PROPN
ejpam-3667	68	8	,	,	PUNCT
ejpam-3667	68	9	ql	ql	NOUN
ejpam-3667	68	10	)	)	PUNCT
ejpam-3667	68	11	or	or	CCONJ
ejpam-3667	68	12	eqeq	eqeq	NOUN
ejpam-3667	68	13	means	mean	VERB
ejpam-3667	68	14	if	if	SCONJ
ejpam-3667	68	15	hl	hl	PROPN
ejpam-3667	68	16	,	,	PUNCT
ejpam-3667	68	17	j	j	PROPN
ejpam-3667	68	18	=	=	PRON
ejpam-3667	68	19	(	(	PUNCT
ejpam-3667	68	20	l	l	PROPN
ejpam-3667	68	21	j	j	PROPN
ejpam-3667	68	22	)	)	PUNCT
ejpam-3667	68	23	ql−j	ql−j	NOUN
ejpam-3667	68	24	(	(	PUNCT
ejpam-3667	68	25	1+q)l	1+q)l	NUM
ejpam-3667	68	26	,	,	PUNCT
ejpam-3667	68	27	0	0	NUM
ejpam-3667	68	28	≤	≤	NUM
ejpam-3667	68	29	j	j	PROPN
ejpam-3667	68	30	≤	≤	PROPN
ejpam-3667	68	31	l.	l.	PROPN
ejpam-3667	68	32	(	(	PUNCT
ejpam-3667	68	33	vii	vii	PROPN
ejpam-3667	68	34	)	)	PUNCT
ejpam-3667	68	35	t	t	PROPN
ejpam-3667	68	36	(	(	PUNCT
ejpam-3667	68	37	c	c	X
ejpam-3667	68	38	,	,	PUNCT
ejpam-3667	68	39	α	α	NOUN
ejpam-3667	68	40	)	)	PUNCT
ejpam-3667	68	41	or	or	CCONJ
ejpam-3667	68	42	tcα	tcα	PRON
ejpam-3667	68	43	means	mean	VERB
ejpam-3667	68	44	further	further	ADJ
ejpam-3667	68	45	reduces	reduce	VERB
ejpam-3667	68	46	to	to	ADP
ejpam-3667	68	47	(	(	PUNCT
ejpam-3667	68	48	a	a	X
ejpam-3667	68	49	)	)	PUNCT
ejpam-3667	68	50	t	t	NOUN
ejpam-3667	68	51	(	(	PUNCT
ejpam-3667	68	52	c	c	NOUN
ejpam-3667	68	53	,	,	PUNCT
ejpam-3667	68	54	1	1	NUM
ejpam-3667	68	55	)	)	PUNCT
ejpam-3667	68	56	or	or	CCONJ
ejpam-3667	68	57	tc1	tc1	PROPN
ejpam-3667	68	58	means	mean	VERB
ejpam-3667	68	59	if	if	SCONJ
ejpam-3667	68	60	α	α	NOUN
ejpam-3667	68	61	=	=	SYM
ejpam-3667	68	62	1	1	X
ejpam-3667	68	63	.	.	PUNCT
ejpam-3667	68	64	(	(	PUNCT
ejpam-3667	68	65	viii	viii	NOUN
ejpam-3667	68	66	)	)	PUNCT
ejpam-3667	68	67	t	t	NOUN
ejpam-3667	68	68	(	(	PUNCT
ejpam-3667	68	69	e	e	NOUN
ejpam-3667	68	70	,	,	PUNCT
ejpam-3667	68	71	ql	ql	NOUN
ejpam-3667	68	72	)	)	PUNCT
ejpam-3667	68	73	or	or	CCONJ
ejpam-3667	68	74	teq	teq	PROPN
ejpam-3667	68	75	means	mean	VERB
ejpam-3667	68	76	further	far	ADV
ejpam-3667	68	77	reduces	reduce	VERB
ejpam-3667	68	78	to	to	ADP
ejpam-3667	68	79	(	(	PUNCT
ejpam-3667	68	80	a	a	X
ejpam-3667	68	81	)	)	PUNCT
ejpam-3667	68	82	t	t	NOUN
ejpam-3667	68	83	(	(	PUNCT
ejpam-3667	68	84	e	e	NOUN
ejpam-3667	68	85	,	,	PUNCT
ejpam-3667	68	86	1	1	NUM
ejpam-3667	68	87	)	)	PUNCT
ejpam-3667	68	88	or	or	CCONJ
ejpam-3667	68	89	te1	te1	NOUN
ejpam-3667	68	90	means	mean	VERB
ejpam-3667	68	91	if	if	SCONJ
ejpam-3667	68	92	ql	ql	PROPN
ejpam-3667	68	93	=	=	SYM
ejpam-3667	68	94	1	1	NUM
ejpam-3667	68	95	∀	∀	NOUN
ejpam-3667	68	96	l.	l.	PROPN
ejpam-3667	68	97	remark	remark	PROPN
ejpam-3667	68	98	3	3	NUM
ejpam-3667	68	99	.	.	PUNCT
ejpam-3667	69	1	(	(	PUNCT
ejpam-3667	69	2	i	i	NOUN
ejpam-3667	69	3	)	)	PUNCT
ejpam-3667	69	4	above	above	ADP
ejpam-3667	69	5	particular	particular	ADJ
ejpam-3667	69	6	case	case	NOUN
ejpam-3667	69	7	(	(	PUNCT
ejpam-3667	69	8	i)(b	i)(b	NUM
ejpam-3667	69	9	)	)	PUNCT
ejpam-3667	69	10	in	in	ADP
ejpam-3667	69	11	remark	remark	NOUN
ejpam-3667	69	12	2	2	NUM
ejpam-3667	69	13	is	be	AUX
ejpam-3667	69	14	further	far	ADV
ejpam-3667	69	15	reduced	reduce	VERB
ejpam-3667	69	16	to	to	ADP
ejpam-3667	69	17	c1eq	c1eq	SYM
ejpam-3667	69	18	,	,	PUNCT
ejpam-3667	69	19	cαe1	cαe1	PROPN
ejpam-3667	69	20	and	and	CCONJ
ejpam-3667	69	21	c1e1	c1e1	NOUN
ejpam-3667	69	22	means	mean	VERB
ejpam-3667	69	23	for	for	ADP
ejpam-3667	69	24	α	α	NOUN
ejpam-3667	69	25	=	=	SYM
ejpam-3667	69	26	1	1	NUM
ejpam-3667	69	27	,	,	PUNCT
ejpam-3667	69	28	ql	ql	NOUN
ejpam-3667	69	29	=	=	SYM
ejpam-3667	69	30	1	1	NUM
ejpam-3667	69	31	∀	∀	NOUN
ejpam-3667	69	32	l	l	NOUN
ejpam-3667	69	33	and	and	CCONJ
ejpam-3667	69	34	α	α	NOUN
ejpam-3667	69	35	=	=	SYM
ejpam-3667	69	36	1	1	NUM
ejpam-3667	69	37	,	,	PUNCT
ejpam-3667	69	38	ql	ql	NOUN
ejpam-3667	69	39	=	=	SYM
ejpam-3667	69	40	1	1	NUM
ejpam-3667	69	41	∀	∀	NOUN
ejpam-3667	69	42	l	l	NOUN
ejpam-3667	69	43	respectively	respectively	ADV
ejpam-3667	69	44	.	.	PUNCT
ejpam-3667	70	1	(	(	PUNCT
ejpam-3667	70	2	ii	ii	NOUN
ejpam-3667	70	3	)	)	PUNCT
ejpam-3667	70	4	above	above	ADP
ejpam-3667	70	5	particular	particular	ADJ
ejpam-3667	70	6	cases	case	NOUN
ejpam-3667	70	7	(	(	PUNCT
ejpam-3667	70	8	ii)(a	ii)(a	PROPN
ejpam-3667	70	9	)	)	PUNCT
ejpam-3667	70	10	and	and	CCONJ
ejpam-3667	70	11	(	(	PUNCT
ejpam-3667	70	12	b	b	NOUN
ejpam-3667	70	13	)	)	PUNCT
ejpam-3667	70	14	in	in	ADP
ejpam-3667	70	15	remark	remark	NOUN
ejpam-3667	70	16	2	2	NUM
ejpam-3667	70	17	are	be	AUX
ejpam-3667	70	18	further	far	ADV
ejpam-3667	70	19	reduced	reduce	VERB
ejpam-3667	70	20	to	to	ADP
ejpam-3667	70	21	h1	h1	VERB
ejpam-3667	70	22	/	/	SYM
ejpam-3667	70	23	l+1c1	l+1c1	PROPN
ejpam-3667	70	24	and	and	CCONJ
ejpam-3667	70	25	h1	h1	PROPN
ejpam-3667	70	26	/	/	SYM
ejpam-3667	70	27	l+1e1	l+1e1	PROPN
ejpam-3667	70	28	means	mean	VERB
ejpam-3667	70	29	for	for	ADP
ejpam-3667	70	30	α	α	NOUN
ejpam-3667	70	31	=	=	SYM
ejpam-3667	70	32	1	1	NUM
ejpam-3667	70	33	and	and	CCONJ
ejpam-3667	71	1	ql	ql	X
ejpam-3667	71	2	=	=	SYM
ejpam-3667	71	3	1	1	NUM
ejpam-3667	71	4	∀	∀	NOUN
ejpam-3667	71	5	l	l	NOUN
ejpam-3667	71	6	respectively	respectively	ADV
ejpam-3667	71	7	.	.	PUNCT
ejpam-3667	72	1	s.	s.	PROPN
ejpam-3667	72	2	rani	rani	PROPN
ejpam-3667	72	3	,	,	PUNCT
ejpam-3667	72	4	h.	h.	PROPN
ejpam-3667	72	5	k.	k.	PROPN
ejpam-3667	72	6	nigam	nigam	PROPN
ejpam-3667	72	7	/	/	SYM
ejpam-3667	72	8	eur	eur	PROPN
ejpam-3667	72	9	.	.	PUNCT
ejpam-3667	73	1	j.	j.	PROPN
ejpam-3667	73	2	pure	pure	PROPN
ejpam-3667	73	3	appl	appl	PROPN
ejpam-3667	73	4	.	.	PROPN
ejpam-3667	73	5	math	math	PROPN
ejpam-3667	73	6	,	,	PUNCT
ejpam-3667	73	7	13	13	NUM
ejpam-3667	73	8	(	(	PUNCT
ejpam-3667	73	9	2	2	NUM
ejpam-3667	73	10	)	)	PUNCT
ejpam-3667	73	11	(	(	PUNCT
ejpam-3667	73	12	2020	2020	NUM
ejpam-3667	73	13	)	)	PUNCT
ejpam-3667	73	14	,	,	PUNCT
ejpam-3667	73	15	351	351	NUM
ejpam-3667	73	16	-	-	SYM
ejpam-3667	73	17	368	368	NUM
ejpam-3667	73	18	355	355	NUM
ejpam-3667	73	19	(	(	PUNCT
ejpam-3667	73	20	iii	iii	NOUN
ejpam-3667	73	21	)	)	PUNCT
ejpam-3667	73	22	above	above	ADP
ejpam-3667	73	23	particular	particular	ADJ
ejpam-3667	73	24	cases	case	NOUN
ejpam-3667	73	25	(	(	PUNCT
ejpam-3667	73	26	iii)(a	iii)(a	PROPN
ejpam-3667	73	27	)	)	PUNCT
ejpam-3667	73	28	and	and	CCONJ
ejpam-3667	73	29	(	(	PUNCT
ejpam-3667	73	30	b	b	NOUN
ejpam-3667	73	31	)	)	PUNCT
ejpam-3667	73	32	in	in	ADP
ejpam-3667	73	33	remark	remark	NOUN
ejpam-3667	73	34	2	2	NUM
ejpam-3667	73	35	are	be	AUX
ejpam-3667	73	36	further	far	ADV
ejpam-3667	73	37	reduced	reduce	VERB
ejpam-3667	73	38	to	to	ADP
ejpam-3667	73	39	(	(	PUNCT
ejpam-3667	73	40	n	n	CCONJ
ejpam-3667	73	41	,	,	PUNCT
ejpam-3667	73	42	pl	pl	NOUN
ejpam-3667	73	43	,	,	PUNCT
ejpam-3667	73	44	ql)(c	ql)(c	PROPN
ejpam-3667	73	45	,	,	PUNCT
ejpam-3667	73	46	1	1	NUM
ejpam-3667	73	47	)	)	PUNCT
ejpam-3667	73	48	and	and	CCONJ
ejpam-3667	73	49	(	(	PUNCT
ejpam-3667	73	50	n	n	CCONJ
ejpam-3667	73	51	,	,	PUNCT
ejpam-3667	73	52	pl	pl	NOUN
ejpam-3667	73	53	,	,	PUNCT
ejpam-3667	73	54	ql)(e	ql)(e	PROPN
ejpam-3667	73	55	,	,	PUNCT
ejpam-3667	73	56	1	1	X
ejpam-3667	73	57	)	)	PUNCT
ejpam-3667	73	58	means	mean	VERB
ejpam-3667	73	59	for	for	ADP
ejpam-3667	73	60	α	α	NOUN
ejpam-3667	73	61	=	=	SYM
ejpam-3667	73	62	1	1	NUM
ejpam-3667	73	63	and	and	CCONJ
ejpam-3667	73	64	ql	ql	X
ejpam-3667	73	65	=	=	SYM
ejpam-3667	73	66	1	1	NUM
ejpam-3667	73	67	∀	∀	NOUN
ejpam-3667	73	68	l	l	NOUN
ejpam-3667	73	69	respectively	respectively	ADV
ejpam-3667	73	70	.	.	PUNCT
ejpam-3667	74	1	(	(	PUNCT
ejpam-3667	74	2	iv	iv	X
ejpam-3667	74	3	)	)	PUNCT
ejpam-3667	74	4	above	above	ADP
ejpam-3667	74	5	particular	particular	ADJ
ejpam-3667	74	6	cases	case	NOUN
ejpam-3667	74	7	(	(	PUNCT
ejpam-3667	74	8	iv)(a	iv)(a	NOUN
ejpam-3667	74	9	)	)	PUNCT
ejpam-3667	74	10	and	and	CCONJ
ejpam-3667	74	11	(	(	PUNCT
ejpam-3667	74	12	b	b	NOUN
ejpam-3667	74	13	)	)	PUNCT
ejpam-3667	74	14	in	in	ADP
ejpam-3667	74	15	remark	remark	NOUN
ejpam-3667	74	16	2	2	NUM
ejpam-3667	74	17	are	be	AUX
ejpam-3667	74	18	further	far	ADV
ejpam-3667	74	19	reduced	reduce	VERB
ejpam-3667	74	20	to	to	ADP
ejpam-3667	74	21	(	(	PUNCT
ejpam-3667	74	22	n	n	CCONJ
ejpam-3667	74	23	,	,	PUNCT
ejpam-3667	74	24	pl)(c	pl)(c	PROPN
ejpam-3667	74	25	,	,	PUNCT
ejpam-3667	74	26	1	1	NUM
ejpam-3667	74	27	)	)	PUNCT
ejpam-3667	74	28	and	and	CCONJ
ejpam-3667	74	29	(	(	PUNCT
ejpam-3667	74	30	n	n	CCONJ
ejpam-3667	74	31	,	,	PUNCT
ejpam-3667	74	32	pl)(e	pl)(e	PROPN
ejpam-3667	74	33	,	,	PUNCT
ejpam-3667	74	34	1	1	NUM
ejpam-3667	74	35	)	)	PUNCT
ejpam-3667	74	36	means	mean	VERB
ejpam-3667	74	37	for	for	ADP
ejpam-3667	74	38	α	α	NOUN
ejpam-3667	74	39	=	=	SYM
ejpam-3667	74	40	1	1	NUM
ejpam-3667	74	41	and	and	CCONJ
ejpam-3667	74	42	ql	ql	X
ejpam-3667	74	43	=	=	SYM
ejpam-3667	74	44	1	1	NUM
ejpam-3667	74	45	∀	∀	NOUN
ejpam-3667	74	46	l	l	NOUN
ejpam-3667	74	47	respectively	respectively	ADV
ejpam-3667	74	48	.	.	PUNCT
ejpam-3667	75	1	(	(	PUNCT
ejpam-3667	75	2	v	v	NOUN
ejpam-3667	75	3	)	)	PUNCT
ejpam-3667	75	4	above	above	ADP
ejpam-3667	75	5	particular	particular	ADJ
ejpam-3667	75	6	cases	case	NOUN
ejpam-3667	75	7	(	(	PUNCT
ejpam-3667	75	8	v)(a	v)(a	NUM
ejpam-3667	75	9	)	)	PUNCT
ejpam-3667	75	10	and	and	CCONJ
ejpam-3667	75	11	(	(	PUNCT
ejpam-3667	75	12	b	b	NOUN
ejpam-3667	75	13	)	)	PUNCT
ejpam-3667	75	14	in	in	ADP
ejpam-3667	75	15	remark	remark	NOUN
ejpam-3667	75	16	2	2	NUM
ejpam-3667	75	17	are	be	AUX
ejpam-3667	75	18	further	far	ADV
ejpam-3667	75	19	reduced	reduce	VERB
ejpam-3667	75	20	to	to	ADP
ejpam-3667	75	21	(	(	PUNCT
ejpam-3667	75	22	ñ	ñ	PROPN
ejpam-3667	75	23	,	,	PUNCT
ejpam-3667	75	24	pl)(c	pl)(c	PROPN
ejpam-3667	75	25	,	,	PUNCT
ejpam-3667	75	26	1	1	NUM
ejpam-3667	75	27	)	)	PUNCT
ejpam-3667	75	28	and	and	CCONJ
ejpam-3667	75	29	(	(	PUNCT
ejpam-3667	75	30	ñ	ñ	PROPN
ejpam-3667	75	31	,	,	PUNCT
ejpam-3667	75	32	pl)(e	pl)(e	PROPN
ejpam-3667	75	33	,	,	PUNCT
ejpam-3667	75	34	1	1	NUM
ejpam-3667	75	35	)	)	PUNCT
ejpam-3667	75	36	means	mean	VERB
ejpam-3667	75	37	for	for	ADP
ejpam-3667	75	38	α	α	NOUN
ejpam-3667	75	39	=	=	SYM
ejpam-3667	75	40	1	1	NUM
ejpam-3667	75	41	and	and	CCONJ
ejpam-3667	75	42	ql	ql	X
ejpam-3667	75	43	=	=	SYM
ejpam-3667	75	44	1	1	NUM
ejpam-3667	75	45	∀	∀	NOUN
ejpam-3667	75	46	l	l	NOUN
ejpam-3667	75	47	respectively	respectively	ADV
ejpam-3667	75	48	.	.	PUNCT
ejpam-3667	76	1	(	(	PUNCT
ejpam-3667	76	2	vi	vi	NOUN
ejpam-3667	76	3	)	)	PUNCT
ejpam-3667	76	4	above	above	ADP
ejpam-3667	76	5	particular	particular	ADJ
ejpam-3667	76	6	cases	case	NOUN
ejpam-3667	76	7	(	(	PUNCT
ejpam-3667	76	8	vi)(a	vi)(a	PROPN
ejpam-3667	76	9	)	)	PUNCT
ejpam-3667	77	1	in	in	ADP
ejpam-3667	77	2	remark	remark	NOUN
ejpam-3667	77	3	2	2	NUM
ejpam-3667	77	4	is	be	AUX
ejpam-3667	77	5	further	far	ADV
ejpam-3667	77	6	reduced	reduce	VERB
ejpam-3667	77	7	to	to	ADP
ejpam-3667	77	8	eqc1	eqc1	PROPN
ejpam-3667	77	9	,	,	PUNCT
ejpam-3667	77	10	e1cα	e1cα	PUNCT
ejpam-3667	77	11	and	and	CCONJ
ejpam-3667	77	12	e1c1	e1c1	PRON
ejpam-3667	77	13	means	mean	VERB
ejpam-3667	77	14	for	for	ADP
ejpam-3667	77	15	α	α	NOUN
ejpam-3667	77	16	=	=	SYM
ejpam-3667	77	17	1	1	NUM
ejpam-3667	77	18	,	,	PUNCT
ejpam-3667	77	19	ql	ql	NOUN
ejpam-3667	77	20	=	=	SYM
ejpam-3667	77	21	1	1	NUM
ejpam-3667	77	22	∀	∀	NOUN
ejpam-3667	77	23	l	l	NOUN
ejpam-3667	77	24	and	and	CCONJ
ejpam-3667	77	25	ql	ql	X
ejpam-3667	78	1	=	=	SYM
ejpam-3667	78	2	1	1	NUM
ejpam-3667	78	3	∀	∀	NOUN
ejpam-3667	78	4	l	l	NOUN
ejpam-3667	78	5	,	,	PUNCT
ejpam-3667	78	6	α	α	NOUN
ejpam-3667	78	7	=	=	NOUN
ejpam-3667	78	8	1	1	NUM
ejpam-3667	78	9	respectively	respectively	ADV
ejpam-3667	78	10	.	.	PUNCT
ejpam-3667	79	1	the	the	DET
ejpam-3667	79	2	space	space	NOUN
ejpam-3667	79	3	of	of	ADP
ejpam-3667	79	4	the	the	DET
ejpam-3667	79	5	functions	function	NOUN
ejpam-3667	79	6	lr	lr	NOUN
ejpam-3667	79	7	is	be	AUX
ejpam-3667	79	8	given	give	VERB
ejpam-3667	79	9	by	by	ADP
ejpam-3667	79	10	lr[0	lr[0	NOUN
ejpam-3667	79	11	,	,	PUNCT
ejpam-3667	79	12	2π	2π	NOUN
ejpam-3667	79	13	]	]	PUNCT
ejpam-3667	80	1	=	=	SYM
ejpam-3667	80	2	{	{	PUNCT
ejpam-3667	80	3	g	g	NOUN
ejpam-3667	80	4	:	:	PUNCT
ejpam-3667	80	5	[	[	X
ejpam-3667	80	6	0	0	NUM
ejpam-3667	80	7	,	,	PUNCT
ejpam-3667	80	8	2π	2π	NOUN
ejpam-3667	80	9	]	]	X
ejpam-3667	81	1	7→	7→	NUM
ejpam-3667	81	2	r	r	NOUN
ejpam-3667	81	3	:	:	PUNCT
ejpam-3667	81	4	∫	∫	PROPN
ejpam-3667	81	5	2π	2π	PROPN
ejpam-3667	81	6	0	0	NUM
ejpam-3667	81	7	|g(x)|rdx	|g(x)|rdx	NOUN
ejpam-3667	81	8	<	<	X
ejpam-3667	81	9	∞	∞	PROPN
ejpam-3667	81	10	,	,	PUNCT
ejpam-3667	81	11	r	r	NOUN
ejpam-3667	81	12	≥	≥	NOUN
ejpam-3667	81	13	1	1	NUM
ejpam-3667	81	14	}	}	PUNCT
ejpam-3667	81	15	.	.	PUNCT
ejpam-3667	82	1	the	the	DET
ejpam-3667	82	2	norm	norm	NOUN
ejpam-3667	82	3	‖	‖	PROPN
ejpam-3667	82	4	·	·	SYM
ejpam-3667	82	5	‖(r	‖(r	PROPN
ejpam-3667	82	6	)	)	PUNCT
ejpam-3667	82	7	by	by	ADP
ejpam-3667	82	8	{	{	PUNCT
ejpam-3667	82	9	1	1	NUM
ejpam-3667	82	10	2π	2π	NUM
ejpam-3667	82	11	∫	∫	PROPN
ejpam-3667	82	12	2π	2π	PROPN
ejpam-3667	82	13	0	0	NUM
ejpam-3667	82	14	|g(x)|rdx	|g(x)|rdx	NOUN
ejpam-3667	82	15	}	}	PUNCT
ejpam-3667	82	16	1	1	NUM
ejpam-3667	82	17	/	/	SYM
ejpam-3667	82	18	r	r	NOUN
ejpam-3667	82	19	,	,	PUNCT
ejpam-3667	82	20	r	r	NOUN
ejpam-3667	82	21	≥	≥	NOUN
ejpam-3667	82	22	1	1	NUM
ejpam-3667	82	23	.	.	PUNCT
ejpam-3667	82	24	as	as	SCONJ
ejpam-3667	82	25	defined	define	VERB
ejpam-3667	82	26	in	in	ADP
ejpam-3667	82	27	[	[	X
ejpam-3667	82	28	1	1	NUM
ejpam-3667	82	29	]	]	PUNCT
ejpam-3667	82	30	,	,	PUNCT
ejpam-3667	82	31	η	η	PROPN
ejpam-3667	82	32	:	:	PUNCT
ejpam-3667	83	1	[	[	X
ejpam-3667	83	2	0	0	NUM
ejpam-3667	83	3	,	,	PUNCT
ejpam-3667	83	4	2π	2π	NOUN
ejpam-3667	83	5	]	]	X
ejpam-3667	83	6	7→	7→	NUM
ejpam-3667	83	7	r	r	NOUN
ejpam-3667	83	8	is	be	AUX
ejpam-3667	83	9	an	an	DET
ejpam-3667	83	10	arbitrary	arbitrary	ADJ
ejpam-3667	83	11	function	function	NOUN
ejpam-3667	83	12	with	with	ADP
ejpam-3667	83	13	η(s	η(s	PROPN
ejpam-3667	83	14	)	)	PUNCT
ejpam-3667	83	15	>	>	X
ejpam-3667	83	16	0	0	PUNCT
ejpam-3667	83	17	for	for	ADP
ejpam-3667	83	18	0	0	NUM
ejpam-3667	83	19	<	<	X
ejpam-3667	83	20	s	s	PART
ejpam-3667	83	21	≤	≤	NOUN
ejpam-3667	83	22	2π	2π	NOUN
ejpam-3667	83	23	and	and	CCONJ
ejpam-3667	83	24	lims→0	lims→0	PROPN
ejpam-3667	83	25	+	+	CCONJ
ejpam-3667	83	26	η(s	η(s	PROPN
ejpam-3667	83	27	)	)	PUNCT
ejpam-3667	83	28	=	=	SYM
ejpam-3667	83	29	η(0	η(0	PROPN
ejpam-3667	83	30	)	)	PUNCT
ejpam-3667	84	1	=	=	PUNCT
ejpam-3667	84	2	0	0	X
ejpam-3667	84	3	.	.	PUNCT
ejpam-3667	85	1	now	now	ADV
ejpam-3667	85	2	,	,	PUNCT
ejpam-3667	85	3	we	we	PRON
ejpam-3667	85	4	define	define	VERB
ejpam-3667	85	5	h(η	h(η	NOUN
ejpam-3667	85	6	)	)	PUNCT
ejpam-3667	85	7	r	r	NOUN
ejpam-3667	85	8	:	:	PUNCT
ejpam-3667	85	9	=	=	X
ejpam-3667	85	10	{	{	PUNCT
ejpam-3667	85	11	g	g	PROPN
ejpam-3667	85	12	∈	∈	PROPN
ejpam-3667	85	13	lr[0	lr[0	PROPN
ejpam-3667	85	14	,	,	PUNCT
ejpam-3667	85	15	2π	2π	NOUN
ejpam-3667	85	16	]	]	PUNCT
ejpam-3667	85	17	:	:	PUNCT
ejpam-3667	85	18	sup	sup	PROPN
ejpam-3667	85	19	s	s	PROPN
ejpam-3667	85	20	6=0	6=0	NUM
ejpam-3667	85	21	‖g(·,+s)−	‖g(·,+s)−	ADP
ejpam-3667	85	22	g(·)‖r	g(·)‖r	PROPN
ejpam-3667	85	23	η(s	η(s	PROPN
ejpam-3667	85	24	)	)	PUNCT
ejpam-3667	85	25	<	<	X
ejpam-3667	85	26	∞	∞	PROPN
ejpam-3667	85	27	,	,	PUNCT
ejpam-3667	85	28	r	r	NOUN
ejpam-3667	85	29	≥	≥	NOUN
ejpam-3667	85	30	1	1	NUM
ejpam-3667	85	31	}	}	PUNCT
ejpam-3667	85	32	and	and	CCONJ
ejpam-3667	85	33	‖	‖	PROPN
ejpam-3667	85	34	·	·	PUNCT
ejpam-3667	85	35	‖(η	‖(η	PROPN
ejpam-3667	85	36	)	)	PUNCT
ejpam-3667	85	37	r	r	NOUN
ejpam-3667	85	38	=	=	SYM
ejpam-3667	85	39	‖g‖(η	‖g‖(η	PROPN
ejpam-3667	85	40	)	)	PUNCT
ejpam-3667	85	41	r	r	NOUN
ejpam-3667	85	42	=	=	SYM
ejpam-3667	85	43	‖g‖r	‖g‖r	NOUN
ejpam-3667	86	1	+	+	CCONJ
ejpam-3667	86	2	sup	sup	PROPN
ejpam-3667	86	3	s	s	PROPN
ejpam-3667	86	4	6=0	6=0	NUM
ejpam-3667	86	5	‖g(·,+s)−	‖g(·,+s)−	ADP
ejpam-3667	86	6	g(·)‖r	g(·)‖r	PROPN
ejpam-3667	86	7	η(s	η(s	PROPN
ejpam-3667	86	8	)	)	PUNCT
ejpam-3667	86	9	;	;	PUNCT
ejpam-3667	87	1	r	r	NOUN
ejpam-3667	87	2	≥	≥	NOUN
ejpam-3667	87	3	1	1	NUM
ejpam-3667	87	4	.	.	PUNCT
ejpam-3667	87	5	clearly	clearly	ADV
ejpam-3667	87	6	,	,	PUNCT
ejpam-3667	87	7	‖	‖	PROPN
ejpam-3667	87	8	·	·	SYM
ejpam-3667	87	9	‖(η	‖(η	NOUN
ejpam-3667	87	10	)	)	PUNCT
ejpam-3667	87	11	r	r	NOUN
ejpam-3667	87	12	is	be	AUX
ejpam-3667	87	13	a	a	DET
ejpam-3667	87	14	norm	norm	NOUN
ejpam-3667	87	15	on	on	ADP
ejpam-3667	87	16	h	h	PROPN
ejpam-3667	87	17	(	(	PUNCT
ejpam-3667	87	18	η	η	NOUN
ejpam-3667	87	19	)	)	PUNCT
ejpam-3667	87	20	r	r	NOUN
ejpam-3667	87	21	.	.	PUNCT
ejpam-3667	88	1	note	note	NOUN
ejpam-3667	88	2	1	1	NUM
ejpam-3667	88	3	.	.	PUNCT
ejpam-3667	89	1	η(s	η(	NOUN
ejpam-3667	89	2	)	)	PUNCT
ejpam-3667	89	3	and	and	CCONJ
ejpam-3667	89	4	χ(s	χ(s	NOUN
ejpam-3667	89	5	)	)	PUNCT
ejpam-3667	89	6	denote	denote	VERB
ejpam-3667	89	7	moduli	modulus	NOUN
ejpam-3667	89	8	of	of	ADP
ejpam-3667	89	9	continuity	continuity	NOUN
ejpam-3667	89	10	of	of	ADP
ejpam-3667	89	11	order	order	NOUN
ejpam-3667	89	12	two	two	NUM
ejpam-3667	89	13	such	such	ADJ
ejpam-3667	89	14	that	that	SCONJ
ejpam-3667	89	15	η(s	η(	NOUN
ejpam-3667	89	16	)	)	PUNCT
ejpam-3667	89	17	χ(s	χ(s	PROPN
ejpam-3667	89	18	)	)	PUNCT
ejpam-3667	89	19	is	be	AUX
ejpam-3667	89	20	positive	positive	ADJ
ejpam-3667	89	21	,	,	PUNCT
ejpam-3667	89	22	non	non	ADJ
ejpam-3667	89	23	-	-	ADJ
ejpam-3667	89	24	decreasing	decrease	VERB
ejpam-3667	89	25	and	and	CCONJ
ejpam-3667	89	26	‖g‖(χ	‖g‖(χ	ADJ
ejpam-3667	89	27	)	)	PUNCT
ejpam-3667	90	1	r	r	NOUN
ejpam-3667	90	2	≤	≤	NUM
ejpam-3667	90	3	max	max	NOUN
ejpam-3667	90	4	(	(	PUNCT
ejpam-3667	90	5	1	1	NUM
ejpam-3667	90	6	,	,	PUNCT
ejpam-3667	90	7	η(2π	η(2π	NOUN
ejpam-3667	90	8	)	)	PUNCT
ejpam-3667	90	9	χ(2π	χ(2π	NUM
ejpam-3667	90	10	)	)	PUNCT
ejpam-3667	90	11	)	)	PUNCT
ejpam-3667	91	1	‖g‖(η	‖g‖(η	ADP
ejpam-3667	91	2	)	)	PUNCT
ejpam-3667	91	3	r	r	NOUN
ejpam-3667	92	1	<	<	X
ejpam-3667	92	2	∞.	∞.	PROPN
ejpam-3667	92	3	thus	thus	ADV
ejpam-3667	92	4	,	,	PUNCT
ejpam-3667	92	5	h(η	h(η	NOUN
ejpam-3667	92	6	)	)	PUNCT
ejpam-3667	92	7	r	r	NOUN
ejpam-3667	92	8	⊂	⊂	X
ejpam-3667	92	9	h(χ	h(χ	PROPN
ejpam-3667	92	10	)	)	PUNCT
ejpam-3667	93	1	r	r	NOUN
ejpam-3667	93	2	⊂	⊂	PROPN
ejpam-3667	93	3	lr	lr	X
ejpam-3667	93	4	;	;	PUNCT
ejpam-3667	93	5	r	r	NOUN
ejpam-3667	93	6	≥	≥	NOUN
ejpam-3667	93	7	1	1	NUM
ejpam-3667	94	1	[	[	X
ejpam-3667	94	2	1	1	NUM
ejpam-3667	94	3	]	]	PUNCT
ejpam-3667	94	4	.	.	PUNCT
ejpam-3667	95	1	remark	remark	PROPN
ejpam-3667	95	2	4	4	NUM
ejpam-3667	95	3	.	.	PUNCT
ejpam-3667	96	1	(	(	PUNCT
ejpam-3667	96	2	i	i	NOUN
ejpam-3667	96	3	)	)	PUNCT
ejpam-3667	96	4	if	if	SCONJ
ejpam-3667	96	5	η(s	η(	NOUN
ejpam-3667	96	6	)	)	PUNCT
ejpam-3667	97	1	=	=	VERB
ejpam-3667	97	2	sα	sα	ADV
ejpam-3667	97	3	in	in	ADP
ejpam-3667	97	4	h(η	h(η	NOUN
ejpam-3667	97	5	)	)	PUNCT
ejpam-3667	97	6	,	,	PUNCT
ejpam-3667	97	7	h(η	h(η	NOUN
ejpam-3667	97	8	)	)	PUNCT
ejpam-3667	97	9	implies	imply	VERB
ejpam-3667	97	10	h(α	h(α	ADJ
ejpam-3667	97	11	)	)	PUNCT
ejpam-3667	97	12	class	class	NOUN
ejpam-3667	97	13	.	.	PUNCT
ejpam-3667	98	1	(	(	PUNCT
ejpam-3667	98	2	ii	ii	NOUN
ejpam-3667	98	3	)	)	PUNCT
ejpam-3667	98	4	if	if	SCONJ
ejpam-3667	98	5	η(s	η(	NOUN
ejpam-3667	98	6	)	)	PUNCT
ejpam-3667	99	1	=	=	VERB
ejpam-3667	99	2	sα	sα	ADV
ejpam-3667	99	3	in	in	ADP
ejpam-3667	99	4	h	h	PROPN
ejpam-3667	99	5	(	(	PUNCT
ejpam-3667	99	6	η	η	NOUN
ejpam-3667	99	7	)	)	PUNCT
ejpam-3667	99	8	r	r	NOUN
ejpam-3667	99	9	,	,	PUNCT
ejpam-3667	99	10	h(η	h(η	ADJ
ejpam-3667	99	11	)	)	PUNCT
ejpam-3667	99	12	implies	imply	VERB
ejpam-3667	99	13	hα	hα	ADP
ejpam-3667	99	14	,	,	PUNCT
ejpam-3667	99	15	r	r	NOUN
ejpam-3667	99	16	class	class	NOUN
ejpam-3667	99	17	.	.	PUNCT
ejpam-3667	100	1	s.	s.	PROPN
ejpam-3667	100	2	rani	rani	PROPN
ejpam-3667	100	3	,	,	PUNCT
ejpam-3667	100	4	h.	h.	PROPN
ejpam-3667	100	5	k.	k.	PROPN
ejpam-3667	100	6	nigam	nigam	PROPN
ejpam-3667	100	7	/	/	SYM
ejpam-3667	100	8	eur	eur	PROPN
ejpam-3667	100	9	.	.	PUNCT
ejpam-3667	101	1	j.	j.	PROPN
ejpam-3667	101	2	pure	pure	PROPN
ejpam-3667	101	3	appl	appl	PROPN
ejpam-3667	101	4	.	.	PROPN
ejpam-3667	101	5	math	math	PROPN
ejpam-3667	101	6	,	,	PUNCT
ejpam-3667	101	7	13	13	NUM
ejpam-3667	101	8	(	(	PUNCT
ejpam-3667	101	9	2	2	NUM
ejpam-3667	101	10	)	)	PUNCT
ejpam-3667	101	11	(	(	PUNCT
ejpam-3667	101	12	2020	2020	NUM
ejpam-3667	101	13	)	)	PUNCT
ejpam-3667	101	14	,	,	PUNCT
ejpam-3667	101	15	351	351	NUM
ejpam-3667	101	16	-	-	SYM
ejpam-3667	101	17	368	368	NUM
ejpam-3667	101	18	356	356	NUM
ejpam-3667	101	19	(	(	PUNCT
ejpam-3667	101	20	iii	iii	NOUN
ejpam-3667	101	21	)	)	PUNCT
ejpam-3667	101	22	if	if	SCONJ
ejpam-3667	101	23	r	r	NOUN
ejpam-3667	101	24	→∞	→∞	X
ejpam-3667	101	25	in	in	ADP
ejpam-3667	101	26	h	h	PROPN
ejpam-3667	101	27	(	(	PUNCT
ejpam-3667	101	28	η	η	NOUN
ejpam-3667	101	29	)	)	PUNCT
ejpam-3667	101	30	r	r	NOUN
ejpam-3667	101	31	,	,	PUNCT
ejpam-3667	101	32	h	h	PROPN
ejpam-3667	101	33	(	(	PUNCT
ejpam-3667	101	34	η	η	NOUN
ejpam-3667	101	35	)	)	PUNCT
ejpam-3667	101	36	r	r	NOUN
ejpam-3667	101	37	implies	imply	VERB
ejpam-3667	101	38	h(η	h(η	NOUN
ejpam-3667	101	39	)	)	PUNCT
ejpam-3667	101	40	class	class	NOUN
ejpam-3667	101	41	and	and	CCONJ
ejpam-3667	101	42	hα	hα	NOUN
ejpam-3667	101	43	,	,	PUNCT
ejpam-3667	101	44	r	r	NOUN
ejpam-3667	101	45	implies	imply	VERB
ejpam-3667	101	46	hα	hα	ADP
ejpam-3667	101	47	class	class	NOUN
ejpam-3667	101	48	.	.	PUNCT
ejpam-3667	102	1	we	we	PRON
ejpam-3667	102	2	denote	denote	VERB
ejpam-3667	102	3	the	the	DET
ejpam-3667	102	4	lth	lth	NOUN
ejpam-3667	102	5	partial	partial	ADJ
ejpam-3667	102	6	sum	sum	NOUN
ejpam-3667	102	7	of	of	ADP
ejpam-3667	102	8	the	the	DET
ejpam-3667	102	9	fourier	fourier	NOUN
ejpam-3667	102	10	series	series	NOUN
ejpam-3667	102	11	as	as	ADP
ejpam-3667	102	12	sl(g;x)−	sl(g;x)−	PROPN
ejpam-3667	102	13	g(x	g(x	NOUN
ejpam-3667	102	14	)	)	PUNCT
ejpam-3667	103	1	=	=	SYM
ejpam-3667	103	2	1	1	NUM
ejpam-3667	103	3	2π	2π	NUM
ejpam-3667	103	4	∫	∫	PROPN
ejpam-3667	104	1	π	π	NOUN
ejpam-3667	104	2	0	0	SYM
ejpam-3667	104	3	φ(x	φ(x	PROPN
ejpam-3667	104	4	,	,	PUNCT
ejpam-3667	104	5	s	s	X
ejpam-3667	104	6	)	)	PUNCT
ejpam-3667	104	7	sin	sin	NOUN
ejpam-3667	104	8	(	(	PUNCT
ejpam-3667	104	9	l	l	NOUN
ejpam-3667	104	10	+	+	NOUN
ejpam-3667	104	11	1	1	NUM
ejpam-3667	104	12	2	2	NUM
ejpam-3667	104	13	)	)	PUNCT
ejpam-3667	104	14	s	s	VERB
ejpam-3667	104	15	sin	sin	NOUN
ejpam-3667	104	16	s	s	PART
ejpam-3667	104	17	2	2	NUM
ejpam-3667	104	18	ds	ds	NOUN
ejpam-3667	104	19	[	[	X
ejpam-3667	104	20	1	1	NUM
ejpam-3667	104	21	]	]	PUNCT
ejpam-3667	104	22	.	.	PUNCT
ejpam-3667	105	1	the	the	DET
ejpam-3667	105	2	l	l	NOUN
ejpam-3667	105	3	-	-	PUNCT
ejpam-3667	105	4	order	order	NOUN
ejpam-3667	105	5	error	error	NOUN
ejpam-3667	105	6	estimation	estimation	NOUN
ejpam-3667	105	7	of	of	ADP
ejpam-3667	105	8	function	function	NOUN
ejpam-3667	105	9	g	g	PROPN
ejpam-3667	105	10	is	be	AUX
ejpam-3667	105	11	given	give	VERB
ejpam-3667	105	12	by	by	ADP
ejpam-3667	105	13	el(g	el(g	NOUN
ejpam-3667	105	14	)	)	PUNCT
ejpam-3667	105	15	=	=	SYM
ejpam-3667	105	16	min	min	NOUN
ejpam-3667	105	17	‖g	‖g	PROPN
ejpam-3667	105	18	−	−	PROPN
ejpam-3667	105	19	tl‖r	tl‖r	PROPN
ejpam-3667	105	20	,	,	PUNCT
ejpam-3667	105	21	where	where	SCONJ
ejpam-3667	105	22	tl	tl	PROPN
ejpam-3667	105	23	is	be	AUX
ejpam-3667	105	24	a	a	DET
ejpam-3667	105	25	trigonometric	trigonometric	ADJ
ejpam-3667	105	26	polynomial	polynomial	NOUN
ejpam-3667	105	27	of	of	ADP
ejpam-3667	105	28	degree	degree	NOUN
ejpam-3667	105	29	l	l	NOUN
ejpam-3667	106	1	[	[	X
ejpam-3667	106	2	1	1	NUM
ejpam-3667	106	3	]	]	PUNCT
ejpam-3667	106	4	.	.	PUNCT
ejpam-3667	107	1	if	if	SCONJ
ejpam-3667	107	2	el(g)→	el(g)→	PROPN
ejpam-3667	107	3	0	0	PROPN
ejpam-3667	107	4	as	as	ADP
ejpam-3667	107	5	l→∞	l→∞	NUM
ejpam-3667	107	6	,	,	PUNCT
ejpam-3667	107	7	then	then	ADV
ejpam-3667	107	8	el(g	el(g	NOUN
ejpam-3667	107	9	)	)	PUNCT
ejpam-3667	107	10	is	be	AUX
ejpam-3667	107	11	said	say	VERB
ejpam-3667	107	12	to	to	PART
ejpam-3667	107	13	be	be	AUX
ejpam-3667	107	14	the	the	DET
ejpam-3667	107	15	best	good	ADJ
ejpam-3667	107	16	approximation	approximation	NOUN
ejpam-3667	107	17	of	of	ADP
ejpam-3667	107	18	g	g	PROPN
ejpam-3667	108	1	[	[	X
ejpam-3667	108	2	1	1	NUM
ejpam-3667	108	3	]	]	PUNCT
ejpam-3667	108	4	.	.	PUNCT
ejpam-3667	109	1	we	we	PRON
ejpam-3667	109	2	write	write	VERB
ejpam-3667	109	3	φ(x	φ(x	PROPN
ejpam-3667	109	4	,	,	PUNCT
ejpam-3667	109	5	s	s	NOUN
ejpam-3667	109	6	)	)	PUNCT
ejpam-3667	109	7	=	=	SYM
ejpam-3667	109	8	g(x+	g(x+	X
ejpam-3667	109	9	s	s	X
ejpam-3667	109	10	)	)	PUNCT
ejpam-3667	109	11	+	+	CCONJ
ejpam-3667	109	12	g(x−	g(x−	PROPN
ejpam-3667	109	13	s)−	s)−	PROPN
ejpam-3667	109	14	2g(x	2g(x	NUM
ejpam-3667	109	15	)	)	PUNCT
ejpam-3667	109	16	;	;	PUNCT
ejpam-3667	109	17	∆bl	∆bl	PROPN
ejpam-3667	109	18	,	,	PUNCT
ejpam-3667	109	19	j	j	PROPN
ejpam-3667	109	20	=	=	SYM
ejpam-3667	109	21	bl	bl	PROPN
ejpam-3667	109	22	,	,	PUNCT
ejpam-3667	109	23	j	j	PROPN
ejpam-3667	109	24	−	−	PROPN
ejpam-3667	109	25	bl	bl	PROPN
ejpam-3667	109	26	,	,	PUNCT
ejpam-3667	109	27	j+1	j+1	PROPN
ejpam-3667	109	28	;	;	PUNCT
ejpam-3667	109	29	kt∆h	kt∆h	PROPN
ejpam-3667	109	30	l	l	NOUN
ejpam-3667	109	31	(	(	PUNCT
ejpam-3667	109	32	s	s	X
ejpam-3667	109	33	)	)	PUNCT
ejpam-3667	109	34	=	=	SYM
ejpam-3667	109	35	1	1	NUM
ejpam-3667	109	36	2π	2π	NOUN
ejpam-3667	109	37	l∑	l∑	X
ejpam-3667	109	38	j=0	j=0	PROPN
ejpam-3667	109	39	bl	bl	PROPN
ejpam-3667	109	40	,	,	PUNCT
ejpam-3667	109	41	j	j	PROPN
ejpam-3667	109	42	j∑	j∑	PROPN
ejpam-3667	109	43	a=0	a=0	X
ejpam-3667	109	44	∫	∫	PROPN
ejpam-3667	109	45	1	1	NUM
ejpam-3667	109	46	0	0	NUM
ejpam-3667	110	1	(	(	PUNCT
ejpam-3667	110	2	j	j	PROPN
ejpam-3667	110	3	a	a	X
ejpam-3667	110	4	)	)	PUNCT
ejpam-3667	110	5	za(1−	za(1−	PROPN
ejpam-3667	110	6	z)j−a	z)j−a	PROPN
ejpam-3667	110	7	dξ(z	dξ(z	PROPN
ejpam-3667	110	8	)	)	PUNCT
ejpam-3667	110	9	sin	sin	NOUN
ejpam-3667	110	10	(	(	PUNCT
ejpam-3667	110	11	a+	a+	PUNCT
ejpam-3667	110	12	1	1	NUM
ejpam-3667	110	13	2	2	NUM
ejpam-3667	110	14	)	)	PUNCT
ejpam-3667	110	15	s	s	VERB
ejpam-3667	110	16	sin	sin	NOUN
ejpam-3667	110	17	s	s	PART
ejpam-3667	110	18	2	2	NUM
ejpam-3667	110	19	.	.	PUNCT
ejpam-3667	111	1	3	3	X
ejpam-3667	111	2	.	.	X
ejpam-3667	111	3	main	main	ADJ
ejpam-3667	111	4	theorem	theorem	NOUN
ejpam-3667	111	5	theorem	theorem	NOUN
ejpam-3667	111	6	1	1	X
ejpam-3667	111	7	.	.	PUNCT
ejpam-3667	112	1	if	if	SCONJ
ejpam-3667	112	2	g	g	PROPN
ejpam-3667	112	3	∈	∈	PROPN
ejpam-3667	112	4	h(η	h(η	NOUN
ejpam-3667	112	5	)	)	PUNCT
ejpam-3667	112	6	r	r	NOUN
ejpam-3667	112	7	class	class	NOUN
ejpam-3667	112	8	,	,	PUNCT
ejpam-3667	112	9	r	r	NOUN
ejpam-3667	112	10	≥	≥	NOUN
ejpam-3667	112	11	1	1	NUM
ejpam-3667	112	12	,	,	PUNCT
ejpam-3667	112	13	then	then	ADV
ejpam-3667	112	14	the	the	DET
ejpam-3667	112	15	error	error	NOUN
ejpam-3667	112	16	estimation	estimation	NOUN
ejpam-3667	112	17	of	of	ADP
ejpam-3667	112	18	g	g	NOUN
ejpam-3667	112	19	using	use	VERB
ejpam-3667	112	20	t∆h	t∆h	NOUN
ejpam-3667	112	21	product	product	NOUN
ejpam-3667	112	22	means	mean	NOUN
ejpam-3667	112	23	of	of	ADP
ejpam-3667	112	24	its	its	PRON
ejpam-3667	112	25	fourier	fourier	NOUN
ejpam-3667	112	26	series	series	NOUN
ejpam-3667	112	27	is	be	AUX
ejpam-3667	112	28	given	give	VERB
ejpam-3667	112	29	by	by	ADP
ejpam-3667	112	30	‖tt∆h	‖tt∆h	PROPN
ejpam-3667	112	31	l	l	NOUN
ejpam-3667	112	32	−	−	PROPN
ejpam-3667	112	33	g‖(χ	g‖(χ	NOUN
ejpam-3667	112	34	)	)	PUNCT
ejpam-3667	112	35	r	r	NOUN
ejpam-3667	112	36	=	=	PUNCT
ejpam-3667	112	37	o	o	X
ejpam-3667	112	38	(	(	PUNCT
ejpam-3667	112	39	1	1	NUM
ejpam-3667	112	40	l	l	NOUN
ejpam-3667	112	41	+	+	NOUN
ejpam-3667	112	42	1	1	NUM
ejpam-3667	112	43	∫	∫	NOUN
ejpam-3667	112	44	π	π	PROPN
ejpam-3667	112	45	1	1	NUM
ejpam-3667	112	46	l+1	l+1	PART
ejpam-3667	112	47	η(s	η(	NOUN
ejpam-3667	112	48	)	)	PUNCT
ejpam-3667	112	49	s2χ(s	s2χ(s	NOUN
ejpam-3667	112	50	)	)	PUNCT
ejpam-3667	112	51	ds	ds	PROPN
ejpam-3667	112	52	)	)	PUNCT
ejpam-3667	112	53	,	,	PUNCT
ejpam-3667	112	54	where	where	SCONJ
ejpam-3667	112	55	t	t	PROPN
ejpam-3667	112	56	≡	≡	PROPN
ejpam-3667	112	57	(	(	PUNCT
ejpam-3667	112	58	bl	bl	PROPN
ejpam-3667	112	59	,	,	PUNCT
ejpam-3667	112	60	j	j	PROPN
ejpam-3667	112	61	)	)	PUNCT
ejpam-3667	112	62	is	be	AUX
ejpam-3667	112	63	an	an	DET
ejpam-3667	112	64	infinite	infinite	ADJ
ejpam-3667	112	65	triangular	triangular	NOUN
ejpam-3667	112	66	matrix	matrix	NOUN
ejpam-3667	112	67	satisfying	satisfying	NOUN
ejpam-3667	112	68	(	(	PUNCT
ejpam-3667	112	69	1	1	NUM
ejpam-3667	112	70	)	)	PUNCT
ejpam-3667	112	71	and	and	CCONJ
ejpam-3667	112	72	η	η	PROPN
ejpam-3667	112	73	,	,	PUNCT
ejpam-3667	112	74	χ	χ	X
ejpam-3667	112	75	are	be	AUX
ejpam-3667	112	76	as	as	ADV
ejpam-3667	112	77	defined	define	VERB
ejpam-3667	112	78	in	in	ADP
ejpam-3667	112	79	note	note	NOUN
ejpam-3667	112	80	1	1	NUM
ejpam-3667	112	81	,	,	PUNCT
ejpam-3667	112	82	provided	provide	VERB
ejpam-3667	112	83	l−1∑	l−1∑	ADJ
ejpam-3667	112	84	j=0	j=0	PROPN
ejpam-3667	112	85	|∆bl	|∆bl	PROPN
ejpam-3667	112	86	,	,	PUNCT
ejpam-3667	112	87	j	j	PROPN
ejpam-3667	113	1	|	|	NOUN
ejpam-3667	113	2	=	=	SYM
ejpam-3667	113	3	o	o	X
ejpam-3667	113	4	(	(	PUNCT
ejpam-3667	113	5	1	1	NUM
ejpam-3667	113	6	l	l	NOUN
ejpam-3667	113	7	+	+	NOUN
ejpam-3667	113	8	1	1	NUM
ejpam-3667	113	9	)	)	PUNCT
ejpam-3667	113	10	(	(	PUNCT
ejpam-3667	113	11	2	2	NUM
ejpam-3667	113	12	)	)	PUNCT
ejpam-3667	113	13	and	and	CCONJ
ejpam-3667	113	14	(	(	PUNCT
ejpam-3667	113	15	l	l	PROPN
ejpam-3667	113	16	+	+	CCONJ
ejpam-3667	113	17	1)bl	1)bl	NUM
ejpam-3667	113	18	,	,	PUNCT
ejpam-3667	113	19	l	l	NOUN
ejpam-3667	113	20	=	=	SYM
ejpam-3667	113	21	o(1	o(1	PROPN
ejpam-3667	113	22	)	)	PUNCT
ejpam-3667	113	23	.	.	PUNCT
ejpam-3667	114	1	(	(	PUNCT
ejpam-3667	114	2	3	3	X
ejpam-3667	114	3	)	)	PUNCT
ejpam-3667	114	4	4	4	NUM
ejpam-3667	114	5	.	.	PUNCT
ejpam-3667	115	1	lemmas	lemmas	PROPN
ejpam-3667	115	2	lemma	lemma	PROPN
ejpam-3667	115	3	1	1	NUM
ejpam-3667	115	4	.	.	PUNCT
ejpam-3667	116	1	under	under	ADP
ejpam-3667	116	2	the	the	DET
ejpam-3667	116	3	conditions	condition	NOUN
ejpam-3667	116	4	of	of	ADP
ejpam-3667	116	5	regularity	regularity	NOUN
ejpam-3667	116	6	of	of	ADP
ejpam-3667	116	7	matrix	matrix	NOUN
ejpam-3667	116	8	t	t	PROPN
ejpam-3667	116	9	≡	≡	PROPN
ejpam-3667	116	10	(	(	PUNCT
ejpam-3667	116	11	bl	bl	PROPN
ejpam-3667	116	12	,	,	PUNCT
ejpam-3667	116	13	j	j	PROPN
ejpam-3667	116	14	)	)	PUNCT
ejpam-3667	116	15	,	,	PUNCT
ejpam-3667	116	16	kt∆h	kt∆h	PROPN
ejpam-3667	116	17	l	l	NOUN
ejpam-3667	116	18	(	(	PUNCT
ejpam-3667	116	19	s	s	X
ejpam-3667	116	20	)	)	PUNCT
ejpam-3667	116	21	=	=	SYM
ejpam-3667	116	22	o(l	o(l	PROPN
ejpam-3667	116	23	+	+	CCONJ
ejpam-3667	116	24	1	1	X
ejpam-3667	116	25	)	)	PUNCT
ejpam-3667	116	26	for	for	ADP
ejpam-3667	116	27	0	0	NUM
ejpam-3667	116	28	<	<	X
ejpam-3667	116	29	s	s	X
ejpam-3667	116	30	<	<	X
ejpam-3667	116	31	1	1	NUM
ejpam-3667	116	32	l	l	NOUN
ejpam-3667	116	33	+	+	NUM
ejpam-3667	116	34	1	1	NUM
ejpam-3667	116	35	.	.	PUNCT
ejpam-3667	117	1	s.	s.	PROPN
ejpam-3667	117	2	rani	rani	PROPN
ejpam-3667	117	3	,	,	PUNCT
ejpam-3667	117	4	h.	h.	PROPN
ejpam-3667	117	5	k.	k.	PROPN
ejpam-3667	117	6	nigam	nigam	PROPN
ejpam-3667	117	7	/	/	SYM
ejpam-3667	117	8	eur	eur	PROPN
ejpam-3667	117	9	.	.	PUNCT
ejpam-3667	118	1	j.	j.	PROPN
ejpam-3667	118	2	pure	pure	PROPN
ejpam-3667	118	3	appl	appl	PROPN
ejpam-3667	118	4	.	.	PROPN
ejpam-3667	118	5	math	math	PROPN
ejpam-3667	118	6	,	,	PUNCT
ejpam-3667	118	7	13	13	NUM
ejpam-3667	118	8	(	(	PUNCT
ejpam-3667	118	9	2	2	NUM
ejpam-3667	118	10	)	)	PUNCT
ejpam-3667	118	11	(	(	PUNCT
ejpam-3667	118	12	2020	2020	NUM
ejpam-3667	118	13	)	)	PUNCT
ejpam-3667	118	14	,	,	PUNCT
ejpam-3667	118	15	351	351	NUM
ejpam-3667	118	16	-	-	SYM
ejpam-3667	118	17	368	368	NUM
ejpam-3667	118	18	357	357	NUM
ejpam-3667	118	19	proof	proof	NOUN
ejpam-3667	118	20	.	.	PUNCT
ejpam-3667	119	1	for	for	ADP
ejpam-3667	119	2	0	0	NUM
ejpam-3667	119	3	≤	≤	NUM
ejpam-3667	119	4	s	s	PART
ejpam-3667	119	5	≤	≤	NUM
ejpam-3667	119	6	1	1	NUM
ejpam-3667	119	7	l+1	l+1	NOUN
ejpam-3667	119	8	,	,	PUNCT
ejpam-3667	119	9	sin	sin	NOUN
ejpam-3667	119	10	s	s	PROPN
ejpam-3667	119	11	2	2	NUM
ejpam-3667	119	12	≥	≥	NOUN
ejpam-3667	119	13	s	s	PROPN
ejpam-3667	119	14	π	π	NOUN
ejpam-3667	119	15	,	,	PUNCT
ejpam-3667	119	16	sin	sin	VERB
ejpam-3667	119	17	ls	ls	ADJ
ejpam-3667	119	18	≤	≤	PROPN
ejpam-3667	119	19	ls	ls	PROPN
ejpam-3667	119	20	,	,	PUNCT
ejpam-3667	119	21	we	we	PRON
ejpam-3667	119	22	have	have	VERB
ejpam-3667	119	23	kt∆h	kt∆h	PROPN
ejpam-3667	119	24	l	l	NOUN
ejpam-3667	119	25	(	(	PUNCT
ejpam-3667	119	26	s	s	X
ejpam-3667	119	27	)	)	PUNCT
ejpam-3667	119	28	=	=	SYM
ejpam-3667	119	29	1	1	NUM
ejpam-3667	119	30	2π	2π	NOUN
ejpam-3667	119	31	l∑	l∑	X
ejpam-3667	119	32	j=0	j=0	PROPN
ejpam-3667	119	33	bl	bl	PROPN
ejpam-3667	119	34	,	,	PUNCT
ejpam-3667	119	35	j	j	PROPN
ejpam-3667	119	36	j∑	j∑	PROPN
ejpam-3667	119	37	a=0	a=0	X
ejpam-3667	119	38	∫	∫	PROPN
ejpam-3667	119	39	1	1	NUM
ejpam-3667	119	40	0	0	NUM
ejpam-3667	120	1	(	(	PUNCT
ejpam-3667	120	2	j	j	PROPN
ejpam-3667	120	3	a	a	X
ejpam-3667	120	4	)	)	PUNCT
ejpam-3667	120	5	za(1−	za(1−	PROPN
ejpam-3667	120	6	z)j−a	z)j−a	PROPN
ejpam-3667	120	7	dξ(z	dξ(z	PROPN
ejpam-3667	120	8	)	)	PUNCT
ejpam-3667	120	9	sin	sin	NOUN
ejpam-3667	120	10	(	(	PUNCT
ejpam-3667	120	11	a+	a+	PUNCT
ejpam-3667	120	12	1	1	NUM
ejpam-3667	120	13	2	2	NUM
ejpam-3667	120	14	)	)	PUNCT
ejpam-3667	120	15	s	s	PART
ejpam-3667	120	16	2	2	NUM
ejpam-3667	120	17	sin	sin	NOUN
ejpam-3667	120	18	s	s	PART
ejpam-3667	120	19	2	2	NUM
ejpam-3667	120	20	=	=	SYM
ejpam-3667	120	21	1	1	NUM
ejpam-3667	120	22	2π	2π	NOUN
ejpam-3667	120	23	l∑	l∑	X
ejpam-3667	120	24	j=0	j=0	PROPN
ejpam-3667	120	25	bl	bl	PROPN
ejpam-3667	120	26	,	,	PUNCT
ejpam-3667	120	27	j	j	PROPN
ejpam-3667	120	28	j∑	j∑	PROPN
ejpam-3667	120	29	a=0	a=0	X
ejpam-3667	120	30	∫	∫	PROPN
ejpam-3667	120	31	1	1	NUM
ejpam-3667	120	32	0	0	NUM
ejpam-3667	121	1	(	(	PUNCT
ejpam-3667	121	2	j	j	PROPN
ejpam-3667	121	3	a	a	X
ejpam-3667	121	4	)	)	PUNCT
ejpam-3667	121	5	za(1−	za(1−	PROPN
ejpam-3667	121	6	z)j−a	z)j−a	PROPN
ejpam-3667	121	7	dξ(z	dξ(z	PROPN
ejpam-3667	121	8	)	)	PUNCT
ejpam-3667	121	9	(	(	PUNCT
ejpam-3667	121	10	2a+	2a+	NUM
ejpam-3667	121	11	1	1	NUM
ejpam-3667	121	12	)	)	PUNCT
ejpam-3667	121	13	s2	s2	NOUN
ejpam-3667	121	14	s	s	PART
ejpam-3667	121	15	π	π	NOUN
ejpam-3667	121	16	=	=	SYM
ejpam-3667	121	17	1	1	NUM
ejpam-3667	121	18	4	4	NUM
ejpam-3667	121	19	l∑	l∑	ADP
ejpam-3667	121	20	j=0	j=0	PROPN
ejpam-3667	121	21	bl	bl	PROPN
ejpam-3667	121	22	,	,	PUNCT
ejpam-3667	121	23	j	j	PROPN
ejpam-3667	121	24	{	{	PUNCT
ejpam-3667	121	25	j∑	j∑	PROPN
ejpam-3667	121	26	a=0	a=0	X
ejpam-3667	121	27	∫	∫	PROPN
ejpam-3667	121	28	1	1	NUM
ejpam-3667	121	29	0	0	NUM
ejpam-3667	122	1	(	(	PUNCT
ejpam-3667	122	2	j	j	PROPN
ejpam-3667	122	3	a	a	X
ejpam-3667	122	4	)	)	PUNCT
ejpam-3667	122	5	za(1−	za(1−	PROPN
ejpam-3667	122	6	z)j−a	z)j−a	X
ejpam-3667	122	7	dξ(z)(2a+	dξ(z)(2a+	VERB
ejpam-3667	122	8	1	1	NUM
ejpam-3667	122	9	)	)	PUNCT
ejpam-3667	122	10	}	}	PUNCT
ejpam-3667	122	11	=	=	SYM
ejpam-3667	122	12	1	1	NUM
ejpam-3667	122	13	4	4	NUM
ejpam-3667	122	14	l∑	l∑	NUM
ejpam-3667	122	15	j=0	j=0	PROPN
ejpam-3667	122	16	bl	bl	PROPN
ejpam-3667	122	17	,	,	PUNCT
ejpam-3667	122	18	j	j	PROPN
ejpam-3667	122	19	[	[	PUNCT
ejpam-3667	122	20	2	2	NUM
ejpam-3667	122	21	j∑	j∑	NOUN
ejpam-3667	122	22	a=0	a=0	X
ejpam-3667	122	23	∫	∫	PROPN
ejpam-3667	122	24	1	1	NUM
ejpam-3667	122	25	0	0	NUM
ejpam-3667	123	1	(	(	PUNCT
ejpam-3667	123	2	j	j	PROPN
ejpam-3667	123	3	a	a	X
ejpam-3667	123	4	)	)	PUNCT
ejpam-3667	123	5	za(1−	za(1−	PROPN
ejpam-3667	123	6	z)j−a	z)j−a	X
ejpam-3667	123	7	a	a	DET
ejpam-3667	123	8	dξ(z	dξ(z	NOUN
ejpam-3667	123	9	)	)	PUNCT
ejpam-3667	123	10	]	]	PUNCT
ejpam-3667	124	1	+	+	CCONJ
ejpam-3667	124	2	1	1	NUM
ejpam-3667	124	3	4	4	NUM
ejpam-3667	124	4	l∑	l∑	ADP
ejpam-3667	124	5	j=0	j=0	PROPN
ejpam-3667	124	6	bl	bl	PROPN
ejpam-3667	124	7	,	,	PUNCT
ejpam-3667	124	8	j	j	PROPN
ejpam-3667	124	9	[	[	PUNCT
ejpam-3667	124	10	j∑	j∑	PROPN
ejpam-3667	124	11	a=0	a=0	X
ejpam-3667	124	12	∫	∫	PROPN
ejpam-3667	124	13	1	1	NUM
ejpam-3667	124	14	0	0	NUM
ejpam-3667	124	15	(	(	PUNCT
ejpam-3667	124	16	j	j	PROPN
ejpam-3667	124	17	a	a	X
ejpam-3667	124	18	)	)	PUNCT
ejpam-3667	124	19	za(1−	za(1−	PROPN
ejpam-3667	124	20	z)j−a	z)j−a	PROPN
ejpam-3667	124	21	dξ(z	dξ(z	PROPN
ejpam-3667	124	22	)	)	PUNCT
ejpam-3667	124	23	]	]	PUNCT
ejpam-3667	124	24	.	.	PUNCT
ejpam-3667	125	1	(	(	PUNCT
ejpam-3667	125	2	4	4	X
ejpam-3667	125	3	)	)	PUNCT
ejpam-3667	125	4	first	first	ADV
ejpam-3667	125	5	,	,	PUNCT
ejpam-3667	125	6	we	we	PRON
ejpam-3667	125	7	solve	solve	VERB
ejpam-3667	125	8	2	2	NUM
ejpam-3667	125	9	j∑	j∑	NOUN
ejpam-3667	125	10	a=0	a=0	PROPN
ejpam-3667	126	1	(	(	PUNCT
ejpam-3667	126	2	j	j	PROPN
ejpam-3667	126	3	a	a	X
ejpam-3667	126	4	)	)	PUNCT
ejpam-3667	126	5	za(1−	za(1−	PROPN
ejpam-3667	126	6	z)j−aa	z)j−aa	PROPN
ejpam-3667	126	7	=	=	SYM
ejpam-3667	126	8	2(1−	2(1−	PROPN
ejpam-3667	126	9	z)j	z)j	NOUN
ejpam-3667	126	10	j∑	j∑	X
ejpam-3667	126	11	a=0	a=0	PROPN
ejpam-3667	126	12	(	(	PUNCT
ejpam-3667	126	13	j	j	PROPN
ejpam-3667	126	14	a	a	NOUN
ejpam-3667	126	15	)	)	PUNCT
ejpam-3667	126	16	(	(	PUNCT
ejpam-3667	126	17	z	z	NOUN
ejpam-3667	126	18	1−	1−	NUM
ejpam-3667	126	19	z	z	NOUN
ejpam-3667	126	20	)	)	PUNCT
ejpam-3667	127	1	a	a	DET
ejpam-3667	127	2	a	a	PRON
ejpam-3667	127	3	=	=	SYM
ejpam-3667	127	4	2(1−	2(1−	NUM
ejpam-3667	127	5	z)j	z)j	NOUN
ejpam-3667	127	6	j∑	j∑	PROPN
ejpam-3667	127	7	a=0	a=0	PROPN
ejpam-3667	127	8	(	(	PUNCT
ejpam-3667	127	9	j	j	PROPN
ejpam-3667	127	10	a	a	X
ejpam-3667	127	11	)	)	PUNCT
ejpam-3667	127	12	daa	daa	NOUN
ejpam-3667	127	13	,	,	PUNCT
ejpam-3667	127	14	(	(	PUNCT
ejpam-3667	127	15	5	5	NUM
ejpam-3667	127	16	)	)	PUNCT
ejpam-3667	127	17	where	where	SCONJ
ejpam-3667	127	18	z	z	NOUN
ejpam-3667	127	19	1−	1−	NUM
ejpam-3667	127	20	z	z	X
ejpam-3667	127	21	=	=	SYM
ejpam-3667	127	22	d.	d.	PROPN
ejpam-3667	127	23	now	now	ADV
ejpam-3667	127	24	,	,	PUNCT
ejpam-3667	127	25	j∑	j∑	PROPN
ejpam-3667	127	26	a=0	a=0	PROPN
ejpam-3667	127	27	(	(	PUNCT
ejpam-3667	127	28	j	j	PROPN
ejpam-3667	127	29	a	a	PRON
ejpam-3667	127	30	)	)	PUNCT
ejpam-3667	127	31	daa	daa	NOUN
ejpam-3667	127	32	=	=	SYM
ejpam-3667	127	33	(	(	PUNCT
ejpam-3667	127	34	j	j	PROPN
ejpam-3667	127	35	0	0	NUM
ejpam-3667	127	36	)	)	PUNCT
ejpam-3667	127	37	d00	d00	PROPN
ejpam-3667	127	38	+	+	CCONJ
ejpam-3667	127	39	(	(	PUNCT
ejpam-3667	127	40	j	j	PROPN
ejpam-3667	127	41	1	1	NUM
ejpam-3667	127	42	)	)	PUNCT
ejpam-3667	127	43	d11	d11	NOUN
ejpam-3667	127	44	+	+	CCONJ
ejpam-3667	127	45	(	(	PUNCT
ejpam-3667	127	46	j	j	PROPN
ejpam-3667	127	47	2	2	NUM
ejpam-3667	127	48	)	)	PUNCT
ejpam-3667	127	49	d22	d22	NOUN
ejpam-3667	127	50	+	+	CCONJ
ejpam-3667	127	51	·	·	PUNCT
ejpam-3667	127	52	·	·	PUNCT
ejpam-3667	127	53	·	·	PUNCT
ejpam-3667	128	1	+	+	CCONJ
ejpam-3667	128	2	(	(	PUNCT
ejpam-3667	128	3	j	j	PROPN
ejpam-3667	128	4	j	j	PROPN
ejpam-3667	128	5	)	)	PUNCT
ejpam-3667	128	6	djj	djj	PROPN
ejpam-3667	128	7	=	=	SYM
ejpam-3667	128	8	(	(	PUNCT
ejpam-3667	128	9	j	j	PROPN
ejpam-3667	128	10	1	1	NUM
ejpam-3667	128	11	)	)	PUNCT
ejpam-3667	128	12	d+	d+	X
ejpam-3667	128	13	2	2	X
ejpam-3667	128	14	(	(	PUNCT
ejpam-3667	128	15	j	j	PROPN
ejpam-3667	128	16	2	2	NUM
ejpam-3667	128	17	)	)	PUNCT
ejpam-3667	128	18	d2	d2	NOUN
ejpam-3667	128	19	+	+	CCONJ
ejpam-3667	128	20	3	3	NUM
ejpam-3667	128	21	(	(	PUNCT
ejpam-3667	128	22	j	j	PROPN
ejpam-3667	128	23	3	3	NUM
ejpam-3667	128	24	)	)	PUNCT
ejpam-3667	128	25	d3	d3	PROPN
ejpam-3667	128	26	·	·	PUNCT
ejpam-3667	128	27	·	·	PUNCT
ejpam-3667	128	28	·	·	PUNCT
ejpam-3667	128	29	+	+	NUM
ejpam-3667	128	30	j	j	PROPN
ejpam-3667	128	31	(	(	PUNCT
ejpam-3667	128	32	j	j	PROPN
ejpam-3667	128	33	j	j	PROPN
ejpam-3667	128	34	)	)	PUNCT
ejpam-3667	128	35	dj	dj	NOUN
ejpam-3667	128	36	.	.	PUNCT
ejpam-3667	129	1	(	(	PUNCT
ejpam-3667	129	2	6	6	X
ejpam-3667	129	3	)	)	PUNCT
ejpam-3667	129	4	we	we	PRON
ejpam-3667	129	5	observe	observe	VERB
ejpam-3667	129	6	that	that	SCONJ
ejpam-3667	129	7	(	(	PUNCT
ejpam-3667	129	8	1	1	NUM
ejpam-3667	129	9	+	+	CCONJ
ejpam-3667	129	10	d)j	d)j	NOUN
ejpam-3667	130	1	=	=	SYM
ejpam-3667	131	1	(	(	PUNCT
ejpam-3667	131	2	j	j	PROPN
ejpam-3667	131	3	0	0	NUM
ejpam-3667	131	4	)	)	PUNCT
ejpam-3667	131	5	1j−0	1j−0	NOUN
ejpam-3667	131	6	·	·	PUNCT
ejpam-3667	131	7	d0	d0	NOUN
ejpam-3667	131	8	+	+	CCONJ
ejpam-3667	132	1	(	(	PUNCT
ejpam-3667	132	2	j	j	PROPN
ejpam-3667	132	3	1	1	NUM
ejpam-3667	132	4	)	)	PUNCT
ejpam-3667	132	5	1j−1	1j−1	NUM
ejpam-3667	132	6	·	·	PUNCT
ejpam-3667	132	7	d1	d1	PROPN
ejpam-3667	132	8	+	+	CCONJ
ejpam-3667	132	9	(	(	PUNCT
ejpam-3667	132	10	j	j	PROPN
ejpam-3667	132	11	2	2	X
ejpam-3667	132	12	)	)	PUNCT
ejpam-3667	132	13	1j−2	1j−2	NOUN
ejpam-3667	132	14	·	·	PUNCT
ejpam-3667	132	15	d2	d2	VERB
ejpam-3667	132	16	+	+	CCONJ
ejpam-3667	132	17	·	·	PUNCT
ejpam-3667	132	18	·	·	PUNCT
ejpam-3667	132	19	·	·	PUNCT
ejpam-3667	132	20	+	+	CCONJ
ejpam-3667	132	21	(	(	PUNCT
ejpam-3667	132	22	j	j	PROPN
ejpam-3667	132	23	j	j	PROPN
ejpam-3667	132	24	)	)	PUNCT
ejpam-3667	132	25	1j−j	1j−j	PROPN
ejpam-3667	132	26	·	·	PUNCT
ejpam-3667	133	1	dj	dj	X
ejpam-3667	133	2	(	(	PUNCT
ejpam-3667	133	3	1	1	NUM
ejpam-3667	133	4	+	+	CCONJ
ejpam-3667	133	5	d)j	d)j	NOUN
ejpam-3667	133	6	=	=	SYM
ejpam-3667	133	7	(	(	PUNCT
ejpam-3667	133	8	j	j	PROPN
ejpam-3667	133	9	0	0	NUM
ejpam-3667	133	10	)	)	PUNCT
ejpam-3667	134	1	+	+	CCONJ
ejpam-3667	134	2	(	(	PUNCT
ejpam-3667	134	3	j	j	PROPN
ejpam-3667	134	4	1	1	NUM
ejpam-3667	134	5	)	)	PUNCT
ejpam-3667	134	6	d+	d+	NOUN
ejpam-3667	134	7	(	(	PUNCT
ejpam-3667	134	8	j	j	PROPN
ejpam-3667	134	9	2	2	NUM
ejpam-3667	134	10	)	)	PUNCT
ejpam-3667	134	11	d2	d2	PROPN
ejpam-3667	134	12	+	+	CCONJ
ejpam-3667	134	13	·	·	PUNCT
ejpam-3667	134	14	·	·	PUNCT
ejpam-3667	134	15	·	·	PUNCT
ejpam-3667	134	16	+	+	CCONJ
ejpam-3667	134	17	(	(	PUNCT
ejpam-3667	134	18	j	j	PROPN
ejpam-3667	134	19	j	j	PROPN
ejpam-3667	134	20	)	)	PUNCT
ejpam-3667	134	21	dj	dj	VERB
ejpam-3667	134	22	j(1	j(1	NOUN
ejpam-3667	134	23	+	+	NOUN
ejpam-3667	134	24	d)j−1	d)j−1	NOUN
ejpam-3667	134	25	=	=	SYM
ejpam-3667	134	26	0	0	PUNCT
ejpam-3667	135	1	+	+	CCONJ
ejpam-3667	135	2	(	(	PUNCT
ejpam-3667	135	3	j	j	PROPN
ejpam-3667	135	4	1	1	NUM
ejpam-3667	135	5	)	)	PUNCT
ejpam-3667	135	6	+	+	CCONJ
ejpam-3667	135	7	2	2	NUM
ejpam-3667	135	8	(	(	PUNCT
ejpam-3667	135	9	j	j	PROPN
ejpam-3667	135	10	2	2	NUM
ejpam-3667	135	11	)	)	PUNCT
ejpam-3667	135	12	d+	d+	X
ejpam-3667	135	13	3	3	X
ejpam-3667	135	14	(	(	PUNCT
ejpam-3667	135	15	j	j	PROPN
ejpam-3667	135	16	3	3	NUM
ejpam-3667	135	17	)	)	PUNCT
ejpam-3667	135	18	d2	d2	PROPN
ejpam-3667	135	19	+	+	CCONJ
ejpam-3667	135	20	·	·	PUNCT
ejpam-3667	135	21	·	·	PUNCT
ejpam-3667	135	22	·	·	PUNCT
ejpam-3667	135	23	+	+	NUM
ejpam-3667	135	24	j	j	PROPN
ejpam-3667	135	25	(	(	PUNCT
ejpam-3667	135	26	j	j	PROPN
ejpam-3667	135	27	j	j	PROPN
ejpam-3667	135	28	)	)	PUNCT
ejpam-3667	135	29	dj−1	dj−1	NOUN
ejpam-3667	135	30	(	(	PUNCT
ejpam-3667	135	31	by	by	ADP
ejpam-3667	135	32	differentiating	differentiate	VERB
ejpam-3667	135	33	w.r.t	w.r.t	NOUN
ejpam-3667	135	34	d	d	PROPN
ejpam-3667	135	35	)	)	PUNCT
ejpam-3667	135	36	s.	s.	PROPN
ejpam-3667	135	37	rani	rani	PROPN
ejpam-3667	135	38	,	,	PUNCT
ejpam-3667	135	39	h.	h.	PROPN
ejpam-3667	135	40	k.	k.	PROPN
ejpam-3667	135	41	nigam	nigam	PROPN
ejpam-3667	135	42	/	/	SYM
ejpam-3667	135	43	eur	eur	PROPN
ejpam-3667	135	44	.	.	PUNCT
ejpam-3667	136	1	j.	j.	PROPN
ejpam-3667	136	2	pure	pure	PROPN
ejpam-3667	136	3	appl	appl	PROPN
ejpam-3667	136	4	.	.	PROPN
ejpam-3667	136	5	math	math	PROPN
ejpam-3667	136	6	,	,	PUNCT
ejpam-3667	136	7	13	13	NUM
ejpam-3667	136	8	(	(	PUNCT
ejpam-3667	136	9	2	2	NUM
ejpam-3667	136	10	)	)	PUNCT
ejpam-3667	136	11	(	(	PUNCT
ejpam-3667	136	12	2020	2020	NUM
ejpam-3667	136	13	)	)	PUNCT
ejpam-3667	136	14	,	,	PUNCT
ejpam-3667	136	15	351	351	NUM
ejpam-3667	136	16	-	-	SYM
ejpam-3667	136	17	368	368	NUM
ejpam-3667	136	18	358	358	NUM
ejpam-3667	136	19	jd(1	jd(1	PROPN
ejpam-3667	136	20	+	+	CCONJ
ejpam-3667	136	21	d)j−1	d)j−1	NOUN
ejpam-3667	136	22	=	=	PUNCT
ejpam-3667	136	23	(	(	PUNCT
ejpam-3667	136	24	j	j	PROPN
ejpam-3667	136	25	1	1	NUM
ejpam-3667	136	26	)	)	PUNCT
ejpam-3667	136	27	d+	d+	X
ejpam-3667	136	28	2	2	X
ejpam-3667	136	29	(	(	PUNCT
ejpam-3667	136	30	j	j	PROPN
ejpam-3667	136	31	2	2	NUM
ejpam-3667	136	32	)	)	PUNCT
ejpam-3667	136	33	d2	d2	NOUN
ejpam-3667	136	34	+	+	CCONJ
ejpam-3667	136	35	3	3	NUM
ejpam-3667	136	36	(	(	PUNCT
ejpam-3667	136	37	j	j	PROPN
ejpam-3667	136	38	3	3	NUM
ejpam-3667	136	39	)	)	PUNCT
ejpam-3667	136	40	d3	d3	PROPN
ejpam-3667	136	41	+	+	X
ejpam-3667	136	42	·	·	PUNCT
ejpam-3667	136	43	·	·	PUNCT
ejpam-3667	136	44	·	·	PUNCT
ejpam-3667	137	1	+	+	NUM
ejpam-3667	137	2	j	j	PROPN
ejpam-3667	137	3	(	(	PUNCT
ejpam-3667	137	4	j	j	PROPN
ejpam-3667	137	5	j	j	PROPN
ejpam-3667	137	6	)	)	PUNCT
ejpam-3667	137	7	dj	dj	PROPN
ejpam-3667	137	8	(	(	PUNCT
ejpam-3667	137	9	7	7	NUM
ejpam-3667	137	10	)	)	PUNCT
ejpam-3667	137	11	(	(	PUNCT
ejpam-3667	137	12	multiplying	multiply	VERB
ejpam-3667	137	13	both	both	DET
ejpam-3667	137	14	side	side	NOUN
ejpam-3667	137	15	by	by	ADP
ejpam-3667	137	16	d	d	PROPN
ejpam-3667	137	17	)	)	PUNCT
ejpam-3667	137	18	.	.	PUNCT
ejpam-3667	138	1	now	now	ADV
ejpam-3667	138	2	,	,	PUNCT
ejpam-3667	138	3	from	from	ADP
ejpam-3667	138	4	(	(	PUNCT
ejpam-3667	138	5	6	6	NUM
ejpam-3667	138	6	)	)	PUNCT
ejpam-3667	138	7	and	and	CCONJ
ejpam-3667	138	8	(	(	PUNCT
ejpam-3667	138	9	7	7	NUM
ejpam-3667	138	10	)	)	PUNCT
ejpam-3667	138	11	,	,	PUNCT
ejpam-3667	138	12	we	we	PRON
ejpam-3667	138	13	get	get	VERB
ejpam-3667	138	14	j∑	j∑	PROPN
ejpam-3667	138	15	a=0	a=0	PROPN
ejpam-3667	139	1	(	(	PUNCT
ejpam-3667	139	2	j	j	PROPN
ejpam-3667	139	3	a	a	PRON
ejpam-3667	139	4	)	)	PUNCT
ejpam-3667	139	5	daa	daa	NOUN
ejpam-3667	139	6	=	=	SYM
ejpam-3667	139	7	jd(1	jd(1	PROPN
ejpam-3667	139	8	+	+	CCONJ
ejpam-3667	139	9	d)j−1	d)j−1	NOUN
ejpam-3667	139	10	=	=	SYM
ejpam-3667	139	11	j	j	PROPN
ejpam-3667	139	12	(	(	PUNCT
ejpam-3667	139	13	z	z	NOUN
ejpam-3667	139	14	1−	1−	NUM
ejpam-3667	139	15	z	z	NOUN
ejpam-3667	139	16	)	)	PUNCT
ejpam-3667	139	17	(	(	PUNCT
ejpam-3667	139	18	1	1	NUM
ejpam-3667	139	19	(	(	PUNCT
ejpam-3667	139	20	1−	1−	NUM
ejpam-3667	139	21	z)j−1	z)j−1	NOUN
ejpam-3667	139	22	)	)	PUNCT
ejpam-3667	140	1	=	=	SYM
ejpam-3667	140	2	jz	jz	PROPN
ejpam-3667	140	3	(	(	PUNCT
ejpam-3667	140	4	1−	1−	NUM
ejpam-3667	140	5	z)j	z)j	X
ejpam-3667	140	6	.	.	PUNCT
ejpam-3667	141	1	(	(	PUNCT
ejpam-3667	141	2	8)	8)	NUM
ejpam-3667	141	3	thus	thus	ADV
ejpam-3667	141	4	,	,	PUNCT
ejpam-3667	141	5	from	from	ADP
ejpam-3667	141	6	(	(	PUNCT
ejpam-3667	141	7	5	5	NUM
ejpam-3667	141	8	)	)	PUNCT
ejpam-3667	141	9	and	and	CCONJ
ejpam-3667	141	10	(	(	PUNCT
ejpam-3667	141	11	8)	8)	NUM
ejpam-3667	141	12	,	,	PUNCT
ejpam-3667	141	13	we	we	PRON
ejpam-3667	141	14	get	get	VERB
ejpam-3667	141	15	2	2	NUM
ejpam-3667	141	16	j∑	j∑	NOUN
ejpam-3667	141	17	a=0	a=0	PROPN
ejpam-3667	142	1	(	(	PUNCT
ejpam-3667	142	2	j	j	PROPN
ejpam-3667	142	3	a	a	X
ejpam-3667	142	4	)	)	PUNCT
ejpam-3667	142	5	za(1−	za(1−	PROPN
ejpam-3667	142	6	z)j−aa	z)j−aa	PROPN
ejpam-3667	142	7	=	=	SYM
ejpam-3667	142	8	2(1−	2(1−	PROPN
ejpam-3667	142	9	z)j	z)j	NOUN
ejpam-3667	142	10	j∑	j∑	X
ejpam-3667	142	11	a=0	a=0	PROPN
ejpam-3667	142	12	(	(	PUNCT
ejpam-3667	142	13	j	j	PROPN
ejpam-3667	142	14	a	a	PRON
ejpam-3667	142	15	)	)	PUNCT
ejpam-3667	142	16	daa	daa	NOUN
ejpam-3667	142	17	=	=	SYM
ejpam-3667	142	18	2(1−	2(1−	PROPN
ejpam-3667	142	19	z)j	z)j	X
ejpam-3667	142	20	jz	jz	X
ejpam-3667	142	21	(	(	PUNCT
ejpam-3667	142	22	1−	1−	NUM
ejpam-3667	142	23	z)j	z)j	X
ejpam-3667	142	24	=	=	SYM
ejpam-3667	142	25	2jz	2jz	NOUN
ejpam-3667	142	26	.	.	PUNCT
ejpam-3667	143	1	(	(	PUNCT
ejpam-3667	143	2	9	9	X
ejpam-3667	143	3	)	)	PUNCT
ejpam-3667	143	4	now	now	ADV
ejpam-3667	143	5	,	,	PUNCT
ejpam-3667	143	6	j∑	j∑	PROPN
ejpam-3667	143	7	a=0	a=0	PROPN
ejpam-3667	143	8	(	(	PUNCT
ejpam-3667	143	9	j	j	PROPN
ejpam-3667	143	10	a	a	X
ejpam-3667	143	11	)	)	PUNCT
ejpam-3667	143	12	za(1−	za(1−	PROPN
ejpam-3667	143	13	z)j−a	z)j−a	X
ejpam-3667	143	14	=	=	PUNCT
ejpam-3667	144	1	(	(	PUNCT
ejpam-3667	144	2	j	j	PROPN
ejpam-3667	144	3	0	0	NUM
ejpam-3667	144	4	)	)	PUNCT
ejpam-3667	145	1	z0(1−	z0(1−	NOUN
ejpam-3667	145	2	z)j	z)j	X
ejpam-3667	146	1	+	+	CCONJ
ejpam-3667	146	2	(	(	PUNCT
ejpam-3667	146	3	j	j	PROPN
ejpam-3667	146	4	1	1	NUM
ejpam-3667	146	5	)	)	PUNCT
ejpam-3667	146	6	z1(1−	z1(1−	X
ejpam-3667	146	7	z)j−1	z)j−1	NOUN
ejpam-3667	146	8	+	+	CCONJ
ejpam-3667	146	9	·	·	PUNCT
ejpam-3667	146	10	·	·	PUNCT
ejpam-3667	146	11	·	·	PUNCT
ejpam-3667	146	12	+	+	CCONJ
ejpam-3667	146	13	(	(	PUNCT
ejpam-3667	146	14	j	j	PROPN
ejpam-3667	146	15	j	j	PROPN
ejpam-3667	146	16	)	)	PUNCT
ejpam-3667	146	17	zj(1−	zj(1−	PROPN
ejpam-3667	146	18	z)j−j	z)j−j	PROPN
ejpam-3667	146	19	=	=	SYM
ejpam-3667	146	20	(	(	PUNCT
ejpam-3667	146	21	1−	1−	NUM
ejpam-3667	146	22	z	z	NOUN
ejpam-3667	146	23	+	+	NOUN
ejpam-3667	146	24	z)j	z)j	NOUN
ejpam-3667	146	25	=	=	SYM
ejpam-3667	146	26	1	1	X
ejpam-3667	146	27	.	.	PUNCT
ejpam-3667	146	28	(	(	PUNCT
ejpam-3667	146	29	10	10	NUM
ejpam-3667	146	30	)	)	PUNCT
ejpam-3667	146	31	thus	thus	ADV
ejpam-3667	146	32	,	,	PUNCT
ejpam-3667	146	33	from	from	ADP
ejpam-3667	146	34	(	(	PUNCT
ejpam-3667	146	35	4	4	NUM
ejpam-3667	146	36	)	)	PUNCT
ejpam-3667	146	37	,	,	PUNCT
ejpam-3667	146	38	(	(	PUNCT
ejpam-3667	146	39	9	9	NUM
ejpam-3667	146	40	)	)	PUNCT
ejpam-3667	146	41	and	and	CCONJ
ejpam-3667	146	42	(	(	PUNCT
ejpam-3667	146	43	10	10	NUM
ejpam-3667	146	44	)	)	PUNCT
ejpam-3667	146	45	,	,	PUNCT
ejpam-3667	146	46	we	we	PRON
ejpam-3667	146	47	get	get	VERB
ejpam-3667	146	48	kt∆h	kt∆h	PROPN
ejpam-3667	146	49	l	l	NOUN
ejpam-3667	146	50	(	(	PUNCT
ejpam-3667	146	51	s	s	X
ejpam-3667	146	52	)	)	PUNCT
ejpam-3667	146	53	=	=	SYM
ejpam-3667	146	54	1	1	NUM
ejpam-3667	146	55	4	4	NUM
ejpam-3667	146	56	l∑	l∑	NUM
ejpam-3667	146	57	j=0	j=0	PROPN
ejpam-3667	146	58	bl	bl	PROPN
ejpam-3667	146	59	,	,	PUNCT
ejpam-3667	146	60	j	j	PROPN
ejpam-3667	146	61	[	[	PUNCT
ejpam-3667	146	62	j∑	j∑	PROPN
ejpam-3667	146	63	a=0	a=0	X
ejpam-3667	146	64	∫	∫	PROPN
ejpam-3667	146	65	1	1	NUM
ejpam-3667	146	66	0	0	NUM
ejpam-3667	147	1	(	(	PUNCT
ejpam-3667	147	2	j	j	PROPN
ejpam-3667	147	3	a	a	X
ejpam-3667	147	4	)	)	PUNCT
ejpam-3667	147	5	za(1−	za(1−	PROPN
ejpam-3667	147	6	z)j−a(2a+	z)j−a(2a+	NUM
ejpam-3667	147	7	1	1	NUM
ejpam-3667	147	8	)	)	PUNCT
ejpam-3667	147	9	dξ(z	dξ(z	NOUN
ejpam-3667	147	10	)	)	PUNCT
ejpam-3667	147	11	]	]	PUNCT
ejpam-3667	148	1	=	=	PUNCT
ejpam-3667	148	2	1	1	NUM
ejpam-3667	148	3	4	4	NUM
ejpam-3667	148	4	l∑	l∑	ADP
ejpam-3667	148	5	j=0	j=0	PROPN
ejpam-3667	148	6	bl	bl	PROPN
ejpam-3667	148	7	,	,	PUNCT
ejpam-3667	148	8	j	j	PROPN
ejpam-3667	148	9	∫	∫	PROPN
ejpam-3667	148	10	1	1	NUM
ejpam-3667	148	11	0	0	NUM
ejpam-3667	148	12	(	(	PUNCT
ejpam-3667	148	13	2jz	2jz	ADJ
ejpam-3667	148	14	+	+	CCONJ
ejpam-3667	148	15	1	1	X
ejpam-3667	148	16	)	)	PUNCT
ejpam-3667	148	17	dz	dz	NOUN
ejpam-3667	148	18	=	=	NOUN
ejpam-3667	148	19	1	1	NUM
ejpam-3667	148	20	4	4	NUM
ejpam-3667	148	21	l∑	l∑	NUM
ejpam-3667	148	22	j=0	j=0	PROPN
ejpam-3667	148	23	bl	bl	PROPN
ejpam-3667	148	24	,	,	PUNCT
ejpam-3667	148	25	j(j	j(j	PROPN
ejpam-3667	148	26	+	+	CCONJ
ejpam-3667	148	27	1	1	NUM
ejpam-3667	148	28	)	)	PUNCT
ejpam-3667	148	29	.	.	PUNCT
ejpam-3667	149	1	=	=	PUNCT
ejpam-3667	149	2	o(l	o(l	PROPN
ejpam-3667	149	3	+	+	CCONJ
ejpam-3667	149	4	1	1	NUM
ejpam-3667	149	5	)	)	PUNCT
ejpam-3667	149	6	l∑	l∑	X
ejpam-3667	150	1	j=0	j=0	PROPN
ejpam-3667	150	2	bl	bl	PROPN
ejpam-3667	150	3	,	,	PUNCT
ejpam-3667	150	4	j	j	PROPN
ejpam-3667	150	5	=	=	PUNCT
ejpam-3667	150	6	o(l	o(l	PROPN
ejpam-3667	150	7	+	+	CCONJ
ejpam-3667	150	8	1	1	NUM
ejpam-3667	150	9	)	)	PUNCT
ejpam-3667	150	10	.	.	PUNCT
ejpam-3667	151	1	s.	s.	PROPN
ejpam-3667	151	2	rani	rani	PROPN
ejpam-3667	151	3	,	,	PUNCT
ejpam-3667	151	4	h.	h.	PROPN
ejpam-3667	151	5	k.	k.	PROPN
ejpam-3667	151	6	nigam	nigam	PROPN
ejpam-3667	151	7	/	/	SYM
ejpam-3667	151	8	eur	eur	PROPN
ejpam-3667	151	9	.	.	PUNCT
ejpam-3667	152	1	j.	j.	PROPN
ejpam-3667	152	2	pure	pure	PROPN
ejpam-3667	152	3	appl	appl	PROPN
ejpam-3667	152	4	.	.	PROPN
ejpam-3667	152	5	math	math	PROPN
ejpam-3667	152	6	,	,	PUNCT
ejpam-3667	152	7	13	13	NUM
ejpam-3667	152	8	(	(	PUNCT
ejpam-3667	152	9	2	2	NUM
ejpam-3667	152	10	)	)	PUNCT
ejpam-3667	152	11	(	(	PUNCT
ejpam-3667	152	12	2020	2020	NUM
ejpam-3667	152	13	)	)	PUNCT
ejpam-3667	152	14	,	,	PUNCT
ejpam-3667	152	15	351	351	NUM
ejpam-3667	152	16	-	-	SYM
ejpam-3667	152	17	368	368	NUM
ejpam-3667	152	18	359	359	NUM
ejpam-3667	152	19	lemma	lemma	PROPN
ejpam-3667	152	20	2	2	NUM
ejpam-3667	152	21	.	.	PUNCT
ejpam-3667	153	1	under	under	ADP
ejpam-3667	153	2	the	the	DET
ejpam-3667	153	3	conditions	condition	NOUN
ejpam-3667	153	4	of	of	ADP
ejpam-3667	153	5	regularity	regularity	NOUN
ejpam-3667	153	6	of	of	ADP
ejpam-3667	153	7	matrix	matrix	NOUN
ejpam-3667	153	8	t	t	PROPN
ejpam-3667	153	9	≡	≡	PROPN
ejpam-3667	153	10	(	(	PUNCT
ejpam-3667	153	11	bl	bl	PROPN
ejpam-3667	153	12	,	,	PUNCT
ejpam-3667	153	13	j	j	PROPN
ejpam-3667	153	14	)	)	PUNCT
ejpam-3667	153	15	,	,	PUNCT
ejpam-3667	153	16	kt∆h	kt∆h	PROPN
ejpam-3667	153	17	l	l	NOUN
ejpam-3667	153	18	(	(	PUNCT
ejpam-3667	153	19	s	s	X
ejpam-3667	153	20	)	)	PUNCT
ejpam-3667	154	1	=	=	SYM
ejpam-3667	154	2	o	o	NOUN
ejpam-3667	154	3	(	(	PUNCT
ejpam-3667	154	4	1	1	NUM
ejpam-3667	154	5	s2(l	s2(l	PROPN
ejpam-3667	154	6	+	+	NOUN
ejpam-3667	154	7	1	1	NUM
ejpam-3667	154	8	)	)	PUNCT
ejpam-3667	154	9	)	)	PUNCT
ejpam-3667	154	10	for	for	ADP
ejpam-3667	154	11	1	1	NUM
ejpam-3667	154	12	l	l	NOUN
ejpam-3667	154	13	+	+	NOUN
ejpam-3667	154	14	1	1	NUM
ejpam-3667	154	15	≤	≤	NUM
ejpam-3667	154	16	s	s	PART
ejpam-3667	154	17	≤	≤	NUM
ejpam-3667	154	18	π	π	NOUN
ejpam-3667	154	19	.	.	PUNCT
ejpam-3667	155	1	proof	proof	NOUN
ejpam-3667	155	2	.	.	PUNCT
ejpam-3667	156	1	for	for	ADP
ejpam-3667	156	2	1	1	NUM
ejpam-3667	156	3	l+1	l+1	NOUN
ejpam-3667	156	4	≤	≤	PROPN
ejpam-3667	156	5	s	s	PART
ejpam-3667	156	6	≤	≤	PROPN
ejpam-3667	156	7	π	π	NOUN
ejpam-3667	156	8	,	,	PUNCT
ejpam-3667	156	9	sin	sin	PROPN
ejpam-3667	156	10	s	s	PROPN
ejpam-3667	156	11	2	2	NUM
ejpam-3667	156	12	≥	≥	NOUN
ejpam-3667	156	13	s	s	PROPN
ejpam-3667	156	14	π	π	PROPN
ejpam-3667	156	15	,	,	PUNCT
ejpam-3667	156	16	sin2	sin2	NOUN
ejpam-3667	156	17	ls	ls	PROPN
ejpam-3667	156	18	≤	≤	NUM
ejpam-3667	156	19	1	1	NUM
ejpam-3667	156	20	and	and	CCONJ
ejpam-3667	156	21	sup0≤z≤1	sup0≤z≤1	PROPN
ejpam-3667	156	22	|ξ′(z)|	|ξ′(z)|	PROPN
ejpam-3667	156	23	=	=	SYM
ejpam-3667	156	24	n	n	X
ejpam-3667	156	25	,	,	PUNCT
ejpam-3667	156	26	we	we	PRON
ejpam-3667	156	27	have	have	VERB
ejpam-3667	156	28	kt∆h	kt∆h	PROPN
ejpam-3667	156	29	l	l	NOUN
ejpam-3667	156	30	(	(	PUNCT
ejpam-3667	156	31	s	s	X
ejpam-3667	156	32	)	)	PUNCT
ejpam-3667	156	33	=	=	SYM
ejpam-3667	156	34	1	1	NUM
ejpam-3667	156	35	π	π	NOUN
ejpam-3667	156	36	l∑	l∑	PUNCT
ejpam-3667	156	37	j=0	j=0	PROPN
ejpam-3667	156	38	bl	bl	PROPN
ejpam-3667	156	39	,	,	PUNCT
ejpam-3667	156	40	j	j	PROPN
ejpam-3667	156	41	j∑	j∑	PROPN
ejpam-3667	156	42	a=0	a=0	X
ejpam-3667	156	43	∫	∫	PROPN
ejpam-3667	156	44	1	1	NUM
ejpam-3667	156	45	0	0	NUM
ejpam-3667	157	1	(	(	PUNCT
ejpam-3667	157	2	j	j	PROPN
ejpam-3667	157	3	a	a	X
ejpam-3667	157	4	)	)	PUNCT
ejpam-3667	157	5	za(1−	za(1−	PROPN
ejpam-3667	157	6	z)j−a	z)j−a	PROPN
ejpam-3667	157	7	dξ(z	dξ(z	PROPN
ejpam-3667	157	8	)	)	PUNCT
ejpam-3667	157	9	sin	sin	NOUN
ejpam-3667	157	10	(	(	PUNCT
ejpam-3667	157	11	a+	a+	PUNCT
ejpam-3667	157	12	1	1	NUM
ejpam-3667	157	13	2	2	NUM
ejpam-3667	157	14	)	)	PUNCT
ejpam-3667	157	15	s	s	PART
ejpam-3667	157	16	2	2	NUM
ejpam-3667	157	17	sin	sin	NOUN
ejpam-3667	157	18	s	s	PART
ejpam-3667	157	19	2	2	NUM
ejpam-3667	157	20	=	=	SYM
ejpam-3667	157	21	1	1	NUM
ejpam-3667	157	22	2π	2π	NOUN
ejpam-3667	157	23	l∑	l∑	X
ejpam-3667	157	24	j=0	j=0	PROPN
ejpam-3667	157	25	bl	bl	PROPN
ejpam-3667	157	26	,	,	PUNCT
ejpam-3667	157	27	j	j	PROPN
ejpam-3667	157	28	j∑	j∑	PROPN
ejpam-3667	157	29	a=0	a=0	X
ejpam-3667	157	30	∫	∫	PROPN
ejpam-3667	157	31	1	1	NUM
ejpam-3667	157	32	0	0	NUM
ejpam-3667	158	1	(	(	PUNCT
ejpam-3667	158	2	j	j	PROPN
ejpam-3667	158	3	a	a	X
ejpam-3667	158	4	)	)	PUNCT
ejpam-3667	158	5	za(1−	za(1−	PROPN
ejpam-3667	158	6	z)j−a	z)j−a	PROPN
ejpam-3667	158	7	dξ(z	dξ(z	PROPN
ejpam-3667	158	8	)	)	PUNCT
ejpam-3667	158	9	sin	sin	NOUN
ejpam-3667	158	10	(	(	PUNCT
ejpam-3667	158	11	a+	a+	PUNCT
ejpam-3667	158	12	1	1	NUM
ejpam-3667	158	13	2	2	NUM
ejpam-3667	158	14	)	)	PUNCT
ejpam-3667	158	15	s	s	PART
ejpam-3667	158	16	s	s	NOUN
ejpam-3667	159	1	π	π	NOUN
ejpam-3667	159	2	=	=	SYM
ejpam-3667	159	3	1	1	NUM
ejpam-3667	159	4	2s	2s	PROPN
ejpam-3667	159	5	n∑	n∑	PROPN
ejpam-3667	159	6	j=0	j=0	PROPN
ejpam-3667	159	7	bl	bl	PROPN
ejpam-3667	159	8	,	,	PUNCT
ejpam-3667	159	9	j	j	PROPN
ejpam-3667	159	10	j∑	j∑	PROPN
ejpam-3667	159	11	a=0	a=0	X
ejpam-3667	159	12	∫	∫	PROPN
ejpam-3667	159	13	1	1	NUM
ejpam-3667	159	14	0	0	NUM
ejpam-3667	160	1	(	(	PUNCT
ejpam-3667	160	2	j	j	PROPN
ejpam-3667	160	3	a	a	X
ejpam-3667	160	4	)	)	PUNCT
ejpam-3667	160	5	za(1−	za(1−	PROPN
ejpam-3667	160	6	z)j−a	z)j−a	PROPN
ejpam-3667	160	7	dξ(z	dξ(z	PROPN
ejpam-3667	160	8	)	)	PUNCT
ejpam-3667	160	9	sin	sin	NOUN
ejpam-3667	160	10	(	(	PUNCT
ejpam-3667	160	11	a+	a+	PUNCT
ejpam-3667	160	12	1	1	NUM
ejpam-3667	160	13	2	2	NUM
ejpam-3667	160	14	)	)	PUNCT
ejpam-3667	160	15	s	s	VERB
ejpam-3667	160	16	≤	≤	NOUN
ejpam-3667	160	17	n	n	CCONJ
ejpam-3667	160	18	2s	2s	NUM
ejpam-3667	160	19	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	160	20	l∑	l∑	NUM
ejpam-3667	160	21	j=0	j=0	PROPN
ejpam-3667	160	22	bl	bl	PROPN
ejpam-3667	160	23	,	,	PUNCT
ejpam-3667	160	24	jim	jim	PROPN
ejpam-3667	160	25	j∑	j∑	PROPN
ejpam-3667	160	26	a=0	a=0	X
ejpam-3667	160	27	∫	∫	PROPN
ejpam-3667	160	28	1	1	NUM
ejpam-3667	160	29	0	0	NUM
ejpam-3667	161	1	(	(	PUNCT
ejpam-3667	161	2	j	j	PROPN
ejpam-3667	161	3	a	a	X
ejpam-3667	161	4	)	)	PUNCT
ejpam-3667	161	5	za(1−	za(1−	PROPN
ejpam-3667	161	6	z)j−aei(a+	z)j−aei(a+	NOUN
ejpam-3667	161	7	1	1	NUM
ejpam-3667	161	8	2)s	2)s	NUM
ejpam-3667	161	9	dξ(z	dξ(z	NOUN
ejpam-3667	161	10	)	)	PUNCT
ejpam-3667	161	11	∣∣∣∣.	∣∣∣∣.	NOUN
ejpam-3667	161	12	(	(	PUNCT
ejpam-3667	161	13	11	11	NUM
ejpam-3667	161	14	)	)	PUNCT
ejpam-3667	161	15	now	now	ADV
ejpam-3667	161	16	,	,	PUNCT
ejpam-3667	161	17	first	first	ADV
ejpam-3667	161	18	we	we	PRON
ejpam-3667	161	19	solve	solve	VERB
ejpam-3667	161	20	j∑	j∑	PROPN
ejpam-3667	161	21	a=0	a=0	X
ejpam-3667	161	22	∫	∫	PROPN
ejpam-3667	161	23	1	1	NUM
ejpam-3667	161	24	0	0	NUM
ejpam-3667	162	1	(	(	PUNCT
ejpam-3667	162	2	j	j	PROPN
ejpam-3667	162	3	a	a	X
ejpam-3667	162	4	)	)	PUNCT
ejpam-3667	162	5	za(1−	za(1−	PROPN
ejpam-3667	162	6	z)j−a	z)j−a	PROPN
ejpam-3667	162	7	sin	sin	NOUN
ejpam-3667	162	8	(	(	PUNCT
ejpam-3667	162	9	a+	a+	PUNCT
ejpam-3667	162	10	1	1	NUM
ejpam-3667	162	11	2	2	NUM
ejpam-3667	162	12	)	)	PUNCT
ejpam-3667	162	13	s	s	PART
ejpam-3667	162	14	dξ(z	dξ(z	NOUN
ejpam-3667	162	15	)	)	PUNCT
ejpam-3667	162	16	=	=	SYM
ejpam-3667	162	17	(	(	PUNCT
ejpam-3667	162	18	1−	1−	NUM
ejpam-3667	162	19	z)j	z)j	X
ejpam-3667	162	20	j∑	j∑	PROPN
ejpam-3667	162	21	a=0	a=0	X
ejpam-3667	162	22	∫	∫	PROPN
ejpam-3667	162	23	1	1	NUM
ejpam-3667	162	24	0	0	NUM
ejpam-3667	163	1	(	(	PUNCT
ejpam-3667	163	2	j	j	PROPN
ejpam-3667	163	3	a	a	NOUN
ejpam-3667	163	4	)	)	PUNCT
ejpam-3667	163	5	(	(	PUNCT
ejpam-3667	163	6	z	z	NOUN
ejpam-3667	163	7	1−	1−	NUM
ejpam-3667	163	8	z	z	NOUN
ejpam-3667	163	9	)	)	PUNCT
ejpam-3667	163	10	a	a	PRON
ejpam-3667	164	1	i	i	PRON
ejpam-3667	164	2	m	m	VERB
ejpam-3667	164	3	{	{	PUNCT
ejpam-3667	164	4	ei(a+	ei(a+	NOUN
ejpam-3667	164	5	1	1	NUM
ejpam-3667	164	6	2)s	2)s	NOUN
ejpam-3667	164	7	}	}	PUNCT
ejpam-3667	164	8	dξ(z	dξ(z	NOUN
ejpam-3667	164	9	)	)	PUNCT
ejpam-3667	164	10	=	=	SYM
ejpam-3667	164	11	(	(	PUNCT
ejpam-3667	164	12	1−	1−	NUM
ejpam-3667	164	13	z)j	z)j	X
ejpam-3667	164	14	j∑	j∑	PROPN
ejpam-3667	164	15	a=0	a=0	X
ejpam-3667	164	16	∫	∫	PROPN
ejpam-3667	164	17	1	1	NUM
ejpam-3667	164	18	0	0	NUM
ejpam-3667	164	19	(	(	PUNCT
ejpam-3667	164	20	j	j	PROPN
ejpam-3667	164	21	a	a	NOUN
ejpam-3667	164	22	)	)	PUNCT
ejpam-3667	164	23	(	(	PUNCT
ejpam-3667	164	24	z	z	NOUN
ejpam-3667	164	25	1−	1−	NUM
ejpam-3667	164	26	z	z	NOUN
ejpam-3667	164	27	)	)	PUNCT
ejpam-3667	164	28	a	a	PRON
ejpam-3667	165	1	i	i	PRON
ejpam-3667	165	2	m	m	VERB
ejpam-3667	165	3	{	{	PUNCT
ejpam-3667	165	4	eias	eias	PROPN
ejpam-3667	165	5	·	·	PUNCT
ejpam-3667	165	6	e	e	NOUN
ejpam-3667	165	7	is	be	AUX
ejpam-3667	165	8	2	2	NUM
ejpam-3667	165	9	}	}	PUNCT
ejpam-3667	165	10	dξ(z	dξ(z	NOUN
ejpam-3667	165	11	)	)	PUNCT
ejpam-3667	165	12	=	=	PUNCT
ejpam-3667	166	1	(	(	PUNCT
ejpam-3667	166	2	1−	1−	NUM
ejpam-3667	166	3	z)jim	z)jim	PROPN
ejpam-3667	166	4	[	[	PUNCT
ejpam-3667	166	5	e	e	NOUN
ejpam-3667	166	6	is	be	AUX
ejpam-3667	166	7	2	2	NUM
ejpam-3667	166	8	j∑	j∑	NOUN
ejpam-3667	166	9	a=0	a=0	X
ejpam-3667	166	10	∫	∫	PROPN
ejpam-3667	166	11	1	1	NUM
ejpam-3667	166	12	0	0	NUM
ejpam-3667	167	1	(	(	PUNCT
ejpam-3667	167	2	j	j	PROPN
ejpam-3667	167	3	a	a	NOUN
ejpam-3667	167	4	)	)	PUNCT
ejpam-3667	167	5	(	(	PUNCT
ejpam-3667	167	6	zeis	zeis	NOUN
ejpam-3667	167	7	1−	1−	NUM
ejpam-3667	167	8	z	z	NOUN
ejpam-3667	167	9	)	)	PUNCT
ejpam-3667	167	10	a	a	DET
ejpam-3667	167	11	dξ(z	dξ(z	NOUN
ejpam-3667	167	12	)	)	PUNCT
ejpam-3667	167	13	]	]	PUNCT
ejpam-3667	168	1	=	=	PUNCT
ejpam-3667	168	2	i	i	PRON
ejpam-3667	168	3	m	m	VERB
ejpam-3667	168	4	[	[	PUNCT
ejpam-3667	168	5	e	e	NOUN
ejpam-3667	168	6	is	be	AUX
ejpam-3667	168	7	2	2	NUM
ejpam-3667	168	8	∫	∫	NOUN
ejpam-3667	168	9	1	1	NUM
ejpam-3667	168	10	0	0	NUM
ejpam-3667	168	11	(	(	PUNCT
ejpam-3667	168	12	1−	1−	NUM
ejpam-3667	168	13	z	z	NOUN
ejpam-3667	168	14	+	+	X
ejpam-3667	168	15	zeis)jdz	zeis)jdz	X
ejpam-3667	168	16	]	]	PUNCT
ejpam-3667	169	1	=	=	PUNCT
ejpam-3667	169	2	i	i	PRON
ejpam-3667	169	3	m	m	VERB
ejpam-3667	169	4	[	[	PUNCT
ejpam-3667	169	5	e	e	NOUN
ejpam-3667	169	6	is	be	AUX
ejpam-3667	169	7	2	2	NUM
ejpam-3667	169	8	∫	∫	NOUN
ejpam-3667	169	9	1	1	NUM
ejpam-3667	169	10	0	0	NUM
ejpam-3667	169	11	{	{	PUNCT
ejpam-3667	169	12	1	1	NUM
ejpam-3667	169	13	+	+	NUM
ejpam-3667	169	14	z(eis	z(eis	NOUN
ejpam-3667	170	1	−	−	ADP
ejpam-3667	170	2	1	1	NUM
ejpam-3667	170	3	)	)	PUNCT
ejpam-3667	170	4	}	}	PUNCT
ejpam-3667	171	1	j	j	PROPN
ejpam-3667	171	2	dz	dz	X
ejpam-3667	171	3	]	]	PUNCT
ejpam-3667	172	1	=	=	PUNCT
ejpam-3667	172	2	i	i	PRON
ejpam-3667	172	3	m	m	VERB
ejpam-3667	172	4	[	[	PUNCT
ejpam-3667	172	5	ei(j+1)s	ei(j+1)s	PROPN
ejpam-3667	172	6	−	−	NUM
ejpam-3667	172	7	1	1	NUM
ejpam-3667	172	8	(	(	PUNCT
ejpam-3667	172	9	1	1	NUM
ejpam-3667	172	10	+	+	X
ejpam-3667	172	11	j)(e	j)(e	NOUN
ejpam-3667	172	12	is	be	AUX
ejpam-3667	172	13	2	2	NUM
ejpam-3667	172	14	−	−	NOUN
ejpam-3667	173	1	e	e	NOUN
ejpam-3667	173	2	−is	−is	NUM
ejpam-3667	173	3	2	2	NUM
ejpam-3667	173	4	)	)	PUNCT
ejpam-3667	173	5	]	]	PUNCT
ejpam-3667	174	1	=	=	PUNCT
ejpam-3667	174	2	i	i	PRON
ejpam-3667	174	3	m	m	VERB
ejpam-3667	174	4	[	[	PUNCT
ejpam-3667	174	5	ei(j+1)s	ei(j+1)s	PROPN
ejpam-3667	174	6	−	−	NOUN
ejpam-3667	174	7	1	1	NUM
ejpam-3667	174	8	(	(	PUNCT
ejpam-3667	174	9	j	j	PROPN
ejpam-3667	174	10	+	+	CCONJ
ejpam-3667	174	11	1)2i	1)2i	NUM
ejpam-3667	174	12	sin	sin	NOUN
ejpam-3667	174	13	s	s	PART
ejpam-3667	174	14	2	2	NUM
ejpam-3667	174	15	]	]	PUNCT
ejpam-3667	174	16	=	=	PUNCT
ejpam-3667	175	1	i	i	PRON
ejpam-3667	175	2	m	m	VERB
ejpam-3667	175	3	[	[	PUNCT
ejpam-3667	175	4	cos(j	cos(j	NOUN
ejpam-3667	175	5	+	+	CCONJ
ejpam-3667	175	6	1)s+	1)s+	NUM
ejpam-3667	175	7	i	i	PRON
ejpam-3667	175	8	sin(j	sin(j	VERB
ejpam-3667	176	1	+	+	CCONJ
ejpam-3667	177	1	1)s−	1)s−	NUM
ejpam-3667	177	2	1	1	NUM
ejpam-3667	177	3	2i(j	2i(j	NUM
ejpam-3667	177	4	+	+	CCONJ
ejpam-3667	177	5	1	1	X
ejpam-3667	177	6	)	)	PUNCT
ejpam-3667	177	7	sin	sin	NOUN
ejpam-3667	177	8	s	s	NOUN
ejpam-3667	177	9	2	2	NUM
ejpam-3667	177	10	]	]	PUNCT
ejpam-3667	177	11	=	=	PUNCT
ejpam-3667	177	12	sin2(j	sin2(j	NOUN
ejpam-3667	177	13	+	+	CCONJ
ejpam-3667	177	14	1	1	X
ejpam-3667	177	15	)	)	PUNCT
ejpam-3667	177	16	s2	s2	NOUN
ejpam-3667	177	17	(	(	PUNCT
ejpam-3667	177	18	j	j	PROPN
ejpam-3667	177	19	+	+	CCONJ
ejpam-3667	177	20	1	1	X
ejpam-3667	177	21	)	)	PUNCT
ejpam-3667	177	22	sin	sin	NOUN
ejpam-3667	177	23	s	s	NOUN
ejpam-3667	177	24	2	2	NUM
ejpam-3667	177	25	.	.	PUNCT
ejpam-3667	178	1	(	(	PUNCT
ejpam-3667	178	2	12	12	NUM
ejpam-3667	178	3	)	)	PUNCT
ejpam-3667	178	4	s.	s.	PROPN
ejpam-3667	178	5	rani	rani	PROPN
ejpam-3667	178	6	,	,	PUNCT
ejpam-3667	178	7	h.	h.	PROPN
ejpam-3667	178	8	k.	k.	PROPN
ejpam-3667	178	9	nigam	nigam	PROPN
ejpam-3667	178	10	/	/	SYM
ejpam-3667	178	11	eur	eur	PROPN
ejpam-3667	178	12	.	.	PUNCT
ejpam-3667	179	1	j.	j.	PROPN
ejpam-3667	179	2	pure	pure	PROPN
ejpam-3667	179	3	appl	appl	PROPN
ejpam-3667	179	4	.	.	PROPN
ejpam-3667	179	5	math	math	PROPN
ejpam-3667	179	6	,	,	PUNCT
ejpam-3667	179	7	13	13	NUM
ejpam-3667	179	8	(	(	PUNCT
ejpam-3667	179	9	2	2	NUM
ejpam-3667	179	10	)	)	PUNCT
ejpam-3667	179	11	(	(	PUNCT
ejpam-3667	179	12	2020	2020	NUM
ejpam-3667	179	13	)	)	PUNCT
ejpam-3667	179	14	,	,	PUNCT
ejpam-3667	179	15	351	351	NUM
ejpam-3667	179	16	-	-	SYM
ejpam-3667	179	17	368	368	NUM
ejpam-3667	179	18	360	360	NUM
ejpam-3667	179	19	now	now	ADV
ejpam-3667	179	20	,	,	PUNCT
ejpam-3667	179	21	from	from	ADP
ejpam-3667	179	22	(	(	PUNCT
ejpam-3667	179	23	11	11	NUM
ejpam-3667	179	24	)	)	PUNCT
ejpam-3667	179	25	and	and	CCONJ
ejpam-3667	179	26	(	(	PUNCT
ejpam-3667	179	27	12	12	NUM
ejpam-3667	179	28	)	)	PUNCT
ejpam-3667	179	29	,	,	PUNCT
ejpam-3667	179	30	we	we	PRON
ejpam-3667	179	31	get	get	VERB
ejpam-3667	179	32	kt∆h	kt∆h	PROPN
ejpam-3667	179	33	l	l	NOUN
ejpam-3667	179	34	(	(	PUNCT
ejpam-3667	179	35	s	s	NOUN
ejpam-3667	179	36	)	)	PUNCT
ejpam-3667	179	37	≤	≤	NOUN
ejpam-3667	179	38	n	n	CCONJ
ejpam-3667	179	39	2s	2s	NUM
ejpam-3667	179	40	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	179	41	l∑	l∑	NUM
ejpam-3667	179	42	j=0	j=0	PROPN
ejpam-3667	179	43	bl	bl	PROPN
ejpam-3667	179	44	,	,	PUNCT
ejpam-3667	179	45	j	j	PROPN
ejpam-3667	179	46	sin2(j	sin2(j	VERB
ejpam-3667	179	47	+	+	CCONJ
ejpam-3667	179	48	1	1	X
ejpam-3667	179	49	)	)	PUNCT
ejpam-3667	179	50	s2	s2	NOUN
ejpam-3667	179	51	(	(	PUNCT
ejpam-3667	179	52	j	j	PROPN
ejpam-3667	179	53	+	+	CCONJ
ejpam-3667	179	54	1	1	X
ejpam-3667	179	55	)	)	PUNCT
ejpam-3667	179	56	sin	sin	NOUN
ejpam-3667	179	57	s	s	PART
ejpam-3667	179	58	2	2	NUM
ejpam-3667	179	59	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	179	60	≤	≤	NOUN
ejpam-3667	179	61	n	n	CCONJ
ejpam-3667	179	62	2s	2s	NUM
ejpam-3667	179	63	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	179	64	l∑	l∑	NUM
ejpam-3667	179	65	j=0	j=0	PROPN
ejpam-3667	179	66	bl	bl	PROPN
ejpam-3667	179	67	,	,	PUNCT
ejpam-3667	179	68	j	j	PROPN
ejpam-3667	179	69	1	1	NUM
ejpam-3667	179	70	(	(	PUNCT
ejpam-3667	179	71	j	j	PROPN
ejpam-3667	179	72	+	+	CCONJ
ejpam-3667	179	73	1	1	X
ejpam-3667	179	74	)	)	PUNCT
ejpam-3667	179	75	sπ	sπ	NOUN
ejpam-3667	179	76	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	179	77	=	=	NUM
ejpam-3667	179	78	nπ	nπ	VERB
ejpam-3667	179	79	2s2	2s2	NUM
ejpam-3667	179	80	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	179	81	l∑	l∑	ADP
ejpam-3667	179	82	j=0	j=0	PROPN
ejpam-3667	179	83	bl	bl	PROPN
ejpam-3667	179	84	,	,	PUNCT
ejpam-3667	179	85	j	j	PROPN
ejpam-3667	179	86	1	1	NUM
ejpam-3667	179	87	j	j	PROPN
ejpam-3667	179	88	+	+	CCONJ
ejpam-3667	179	89	1	1	NUM
ejpam-3667	179	90	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	179	91	using	use	VERB
ejpam-3667	179	92	abel	abel	PROPN
ejpam-3667	179	93	’s	’s	PART
ejpam-3667	179	94	lemma	lemma	PROPN
ejpam-3667	179	95	,	,	PUNCT
ejpam-3667	179	96	we	we	PRON
ejpam-3667	179	97	have	have	VERB
ejpam-3667	179	98	kt∆h	kt∆h	PROPN
ejpam-3667	179	99	l	l	NOUN
ejpam-3667	179	100	(	(	PUNCT
ejpam-3667	179	101	s	s	X
ejpam-3667	179	102	)	)	PUNCT
ejpam-3667	179	103	=	=	PRON
ejpam-3667	179	104	nπ	nπ	VERB
ejpam-3667	179	105	2s2	2s2	NUM
ejpam-3667	179	106	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	179	107	l−1∑	l−1∑	ADJ
ejpam-3667	179	108	j=0	j=0	PROPN
ejpam-3667	179	109	(	(	PUNCT
ejpam-3667	179	110	bl	bl	PROPN
ejpam-3667	179	111	,	,	PUNCT
ejpam-3667	179	112	j	j	PROPN
ejpam-3667	179	113	−	−	PROPN
ejpam-3667	179	114	bl	bl	PROPN
ejpam-3667	179	115	,	,	PUNCT
ejpam-3667	179	116	j+1	j+1	PROPN
ejpam-3667	179	117	)	)	PUNCT
ejpam-3667	179	118	j∑	j∑	PROPN
ejpam-3667	179	119	k=0	k=0	PROPN
ejpam-3667	180	1	1	1	NUM
ejpam-3667	180	2	k	k	NOUN
ejpam-3667	180	3	+	+	CCONJ
ejpam-3667	180	4	1	1	NUM
ejpam-3667	180	5	+	+	CCONJ
ejpam-3667	180	6	bl	bl	PROPN
ejpam-3667	180	7	,	,	PUNCT
ejpam-3667	180	8	l	l	PROPN
ejpam-3667	180	9	l∑	l∑	X
ejpam-3667	180	10	j=0	j=0	PROPN
ejpam-3667	180	11	1	1	NUM
ejpam-3667	180	12	j	j	NOUN
ejpam-3667	180	13	+	+	CCONJ
ejpam-3667	180	14	1	1	NUM
ejpam-3667	180	15	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	180	16	≤	≤	NOUN
ejpam-3667	180	17	nπ	nπ	VERB
ejpam-3667	180	18	2s2	2s2	NUM
ejpam-3667	180	19	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	180	20	l−1∑	l−1∑	ADJ
ejpam-3667	180	21	j=0	j=0	PROPN
ejpam-3667	180	22	∆bl	∆bl	PROPN
ejpam-3667	180	23	,	,	PUNCT
ejpam-3667	180	24	j	j	PROPN
ejpam-3667	180	25	j∑	j∑	PROPN
ejpam-3667	180	26	k=0	k=0	PROPN
ejpam-3667	181	1	1	1	NUM
ejpam-3667	181	2	k	k	NOUN
ejpam-3667	181	3	+	+	PROPN
ejpam-3667	181	4	1	1	NUM
ejpam-3667	181	5	∣∣∣∣+	∣∣∣∣+	PROPN
ejpam-3667	181	6	bl	bl	PROPN
ejpam-3667	181	7	,	,	PUNCT
ejpam-3667	181	8	l	l	PROPN
ejpam-3667	181	9	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	181	10	l∑	l∑	SYM
ejpam-3667	181	11	j=0	j=0	PROPN
ejpam-3667	181	12	1	1	NUM
ejpam-3667	181	13	j	j	PROPN
ejpam-3667	181	14	+	+	CCONJ
ejpam-3667	181	15	1	1	NUM
ejpam-3667	181	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	181	17	≤	≤	NOUN
ejpam-3667	181	18	nπ	nπ	VERB
ejpam-3667	181	19	2s2	2s2	NUM
ejpam-3667	181	20			NOUN
ejpam-3667	181	21	l−1∑	l−1∑	CCONJ
ejpam-3667	181	22	j=0	j=0	PROPN
ejpam-3667	181	23	|∆bl	|∆bl	PROPN
ejpam-3667	181	24	,	,	PUNCT
ejpam-3667	181	25	j	j	PROPN
ejpam-3667	181	26	|+	|+	NOUN
ejpam-3667	181	27	bl	bl	PROPN
ejpam-3667	181	28	,	,	PUNCT
ejpam-3667	181	29	l	l	PROPN
ejpam-3667	181	30			NOUN
ejpam-3667	181	31	max	max	PROPN
ejpam-3667	181	32	0≤j≤p	0≤j≤p	PROPN
ejpam-3667	181	33	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3667	181	34	p∑	p∑	NOUN
ejpam-3667	181	35	j=0	j=0	PROPN
ejpam-3667	181	36	1	1	NUM
ejpam-3667	181	37	j	j	NOUN
ejpam-3667	181	38	+	+	CCONJ
ejpam-3667	181	39	1	1	NUM
ejpam-3667	181	40	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3667	181	41	=	=	PUNCT
ejpam-3667	181	42	nπ	nπ	VERB
ejpam-3667	181	43	2s2	2s2	NUM
ejpam-3667	181	44	[	[	PUNCT
ejpam-3667	181	45	o	o	X
ejpam-3667	181	46	(	(	PUNCT
ejpam-3667	181	47	1	1	NUM
ejpam-3667	181	48	l	l	NOUN
ejpam-3667	181	49	+	+	NOUN
ejpam-3667	181	50	1	1	NUM
ejpam-3667	181	51	)	)	PUNCT
ejpam-3667	182	1	+	+	CCONJ
ejpam-3667	182	2	o	o	X
ejpam-3667	182	3	(	(	PUNCT
ejpam-3667	182	4	1	1	NUM
ejpam-3667	182	5	l	l	NOUN
ejpam-3667	182	6	+	+	NOUN
ejpam-3667	182	7	1	1	NUM
ejpam-3667	182	8	)	)	PUNCT
ejpam-3667	182	9	]	]	PUNCT
ejpam-3667	183	1	=	=	PUNCT
ejpam-3667	183	2	o	o	X
ejpam-3667	183	3	(	(	PUNCT
ejpam-3667	183	4	1	1	NUM
ejpam-3667	183	5	s2(l	s2(l	PROPN
ejpam-3667	183	6	+	+	NOUN
ejpam-3667	183	7	1	1	NUM
ejpam-3667	183	8	)	)	PUNCT
ejpam-3667	183	9	)	)	PUNCT
ejpam-3667	183	10	.	.	PUNCT
ejpam-3667	184	1	lemma	lemma	PROPN
ejpam-3667	184	2	3	3	X
ejpam-3667	184	3	.	.	PUNCT
ejpam-3667	185	1	[	[	X
ejpam-3667	185	2	28	28	NUM
ejpam-3667	185	3	]	]	PUNCT
ejpam-3667	185	4	let	let	VERB
ejpam-3667	185	5	g	g	PROPN
ejpam-3667	185	6	∈	∈	NOUN
ejpam-3667	185	7	h(η	h(η	NOUN
ejpam-3667	185	8	)	)	PUNCT
ejpam-3667	185	9	r	r	NOUN
ejpam-3667	185	10	,	,	PUNCT
ejpam-3667	185	11	then	then	ADV
ejpam-3667	185	12	for	for	ADP
ejpam-3667	185	13	0	0	NUM
ejpam-3667	185	14	<	<	X
ejpam-3667	185	15	s	s	X
ejpam-3667	185	16	≤	≤	PROPN
ejpam-3667	185	17	π	π	NOUN
ejpam-3667	185	18	:	:	PUNCT
ejpam-3667	185	19	(	(	PUNCT
ejpam-3667	185	20	i	i	NOUN
ejpam-3667	185	21	)	)	PUNCT
ejpam-3667	185	22	‖φ	‖φ	PROPN
ejpam-3667	185	23	(	(	PUNCT
ejpam-3667	185	24	·	·	PUNCT
ejpam-3667	185	25	,	,	PUNCT
ejpam-3667	185	26	s)‖r	s)‖r	NOUN
ejpam-3667	185	27	=	=	SYM
ejpam-3667	185	28	o(η(s	o(η(s	PROPN
ejpam-3667	185	29	)	)	PUNCT
ejpam-3667	185	30	)	)	PUNCT
ejpam-3667	185	31	;	;	PUNCT
ejpam-3667	185	32	(	(	PUNCT
ejpam-3667	185	33	ii	ii	NOUN
ejpam-3667	185	34	)	)	PUNCT
ejpam-3667	185	35	‖φ(·+	‖φ(·+	PROPN
ejpam-3667	186	1	z	z	X
ejpam-3667	186	2	,	,	PUNCT
ejpam-3667	186	3	s)−	s)−	PROPN
ejpam-3667	186	4	φ	φ	PROPN
ejpam-3667	186	5	(	(	PUNCT
ejpam-3667	186	6	·	·	PUNCT
ejpam-3667	186	7	,	,	PUNCT
ejpam-3667	186	8	s)‖r	s)‖r	NOUN
ejpam-3667	186	9	=	=	SYM
ejpam-3667	186	10	{	{	PUNCT
ejpam-3667	186	11	o(η(s	o(η(s	PROPN
ejpam-3667	186	12	)	)	PUNCT
ejpam-3667	186	13	)	)	PUNCT
ejpam-3667	186	14	o(η(z	o(η(z	NUM
ejpam-3667	186	15	)	)	PUNCT
ejpam-3667	186	16	)	)	PUNCT
ejpam-3667	186	17	.	.	PUNCT
ejpam-3667	187	1	(	(	PUNCT
ejpam-3667	187	2	iii	iii	X
ejpam-3667	187	3	)	)	PUNCT
ejpam-3667	187	4	if	if	SCONJ
ejpam-3667	187	5	η(s	η(	NOUN
ejpam-3667	187	6	)	)	PUNCT
ejpam-3667	187	7	and	and	CCONJ
ejpam-3667	187	8	χ(s	χ(	NOUN
ejpam-3667	187	9	)	)	PUNCT
ejpam-3667	187	10	are	be	AUX
ejpam-3667	187	11	as	as	ADV
ejpam-3667	187	12	defined	define	VERB
ejpam-3667	187	13	in	in	ADP
ejpam-3667	187	14	note	note	NOUN
ejpam-3667	187	15	1	1	NUM
ejpam-3667	187	16	,	,	PUNCT
ejpam-3667	187	17	then	then	ADV
ejpam-3667	187	18	‖φ(·+z	‖φ(·+z	PROPN
ejpam-3667	187	19	,	,	PUNCT
ejpam-3667	187	20	s)−φ	s)−φ	PROPN
ejpam-3667	187	21	(	(	PUNCT
ejpam-3667	187	22	·	·	PUNCT
ejpam-3667	187	23	,	,	PUNCT
ejpam-3667	187	24	s)‖r	s)‖r	NOUN
ejpam-3667	187	25	=	=	SYM
ejpam-3667	187	26	o	o	X
ejpam-3667	187	27	(	(	PUNCT
ejpam-3667	187	28	χ(|z|	χ(|z|	PROPN
ejpam-3667	187	29	)	)	PUNCT
ejpam-3667	187	30	(	(	PUNCT
ejpam-3667	187	31	η(s	η(s	PROPN
ejpam-3667	187	32	)	)	PUNCT
ejpam-3667	187	33	χ(s	χ(s	PROPN
ejpam-3667	187	34	)	)	PUNCT
ejpam-3667	187	35	)	)	PUNCT
ejpam-3667	187	36	)	)	PUNCT
ejpam-3667	187	37	.	.	PUNCT
ejpam-3667	188	1	5	5	X
ejpam-3667	188	2	.	.	X
ejpam-3667	188	3	proof	proof	NOUN
ejpam-3667	188	4	of	of	ADP
ejpam-3667	188	5	the	the	DET
ejpam-3667	188	6	main	main	ADJ
ejpam-3667	188	7	theorem	theorem	NOUN
ejpam-3667	188	8	5.1	5.1	NUM
ejpam-3667	188	9	.	.	PUNCT
ejpam-3667	189	1	proof	proof	NOUN
ejpam-3667	189	2	of	of	ADP
ejpam-3667	189	3	theorem	theorem	ADJ
ejpam-3667	189	4	1	1	NUM
ejpam-3667	189	5	proof	proof	NOUN
ejpam-3667	189	6	.	.	PUNCT
ejpam-3667	190	1	following	follow	VERB
ejpam-3667	190	2	[	[	X
ejpam-3667	190	3	7	7	NUM
ejpam-3667	190	4	]	]	PUNCT
ejpam-3667	190	5	,	,	PUNCT
ejpam-3667	190	6	sl(g;x	sl(g;x	PROPN
ejpam-3667	190	7	)	)	PUNCT
ejpam-3667	190	8	of	of	ADP
ejpam-3667	190	9	fourier	fourier	ADJ
ejpam-3667	190	10	series	series	NOUN
ejpam-3667	190	11	sl(g;x)−	sl(g;x)−	PROPN
ejpam-3667	190	12	g(x	g(x	PROPN
ejpam-3667	190	13	)	)	PUNCT
ejpam-3667	190	14	=	=	SYM
ejpam-3667	190	15	1	1	NUM
ejpam-3667	190	16	2π	2π	NUM
ejpam-3667	190	17	∫	∫	PROPN
ejpam-3667	190	18	π	π	NOUN
ejpam-3667	190	19	0	0	SYM
ejpam-3667	190	20	φ(x	φ(x	PROPN
ejpam-3667	190	21	,	,	PUNCT
ejpam-3667	190	22	s	s	X
ejpam-3667	190	23	)	)	PUNCT
ejpam-3667	190	24	sin	sin	NOUN
ejpam-3667	190	25	(	(	PUNCT
ejpam-3667	190	26	l	l	NOUN
ejpam-3667	190	27	+	+	NOUN
ejpam-3667	190	28	1	1	NUM
ejpam-3667	190	29	2	2	NUM
ejpam-3667	190	30	)	)	PUNCT
ejpam-3667	190	31	s	s	VERB
ejpam-3667	190	32	sin	sin	NOUN
ejpam-3667	190	33	s	s	PART
ejpam-3667	190	34	2	2	NUM
ejpam-3667	190	35	ds	ds	NOUN
ejpam-3667	190	36	.	.	PUNCT
ejpam-3667	190	37	s.	s.	PROPN
ejpam-3667	190	38	rani	rani	PROPN
ejpam-3667	190	39	,	,	PUNCT
ejpam-3667	190	40	h.	h.	PROPN
ejpam-3667	190	41	k.	k.	PROPN
ejpam-3667	190	42	nigam	nigam	PROPN
ejpam-3667	190	43	/	/	SYM
ejpam-3667	190	44	eur	eur	PROPN
ejpam-3667	190	45	.	.	PUNCT
ejpam-3667	191	1	j.	j.	PROPN
ejpam-3667	191	2	pure	pure	PROPN
ejpam-3667	191	3	appl	appl	PROPN
ejpam-3667	191	4	.	.	PROPN
ejpam-3667	191	5	math	math	PROPN
ejpam-3667	191	6	,	,	PUNCT
ejpam-3667	191	7	13	13	NUM
ejpam-3667	191	8	(	(	PUNCT
ejpam-3667	191	9	2	2	NUM
ejpam-3667	191	10	)	)	PUNCT
ejpam-3667	191	11	(	(	PUNCT
ejpam-3667	191	12	2020	2020	NUM
ejpam-3667	191	13	)	)	PUNCT
ejpam-3667	191	14	,	,	PUNCT
ejpam-3667	191	15	351	351	NUM
ejpam-3667	191	16	-	-	SYM
ejpam-3667	191	17	368	368	NUM
ejpam-3667	191	18	361	361	NUM
ejpam-3667	191	19	the	the	DET
ejpam-3667	191	20	hausdorff	hausdorff	NOUN
ejpam-3667	191	21	matrix	matrix	NOUN
ejpam-3667	191	22	mean	mean	NOUN
ejpam-3667	191	23	of	of	ADP
ejpam-3667	191	24	sl(x	sl(x	PROPN
ejpam-3667	191	25	)	)	PUNCT
ejpam-3667	191	26	,	,	PUNCT
ejpam-3667	191	27	denoted	denote	VERB
ejpam-3667	191	28	by	by	ADP
ejpam-3667	191	29	t∆h	t∆h	PROPN
ejpam-3667	191	30	l	l	PROPN
ejpam-3667	191	31	(	(	PUNCT
ejpam-3667	191	32	x	x	X
ejpam-3667	191	33	)	)	PUNCT
ejpam-3667	191	34	,	,	PUNCT
ejpam-3667	191	35	we	we	PRON
ejpam-3667	191	36	get	get	VERB
ejpam-3667	191	37	t∆h	t∆h	PROPN
ejpam-3667	191	38	l	l	NOUN
ejpam-3667	191	39	(	(	PUNCT
ejpam-3667	191	40	x)−	x)−	PROPN
ejpam-3667	191	41	g(x	g(x	NOUN
ejpam-3667	191	42	)	)	PUNCT
ejpam-3667	192	1	=	=	PUNCT
ejpam-3667	192	2	l∑	l∑	PROPN
ejpam-3667	192	3	j=0	j=0	PROPN
ejpam-3667	192	4	hl	hl	PROPN
ejpam-3667	192	5	,	,	PUNCT
ejpam-3667	192	6	j(sj(x)−	j(sj(x)−	PROPN
ejpam-3667	192	7	g(x	g(x	PROPN
ejpam-3667	192	8	)	)	PUNCT
ejpam-3667	192	9	)	)	PUNCT
ejpam-3667	193	1	=	=	PUNCT
ejpam-3667	193	2	l∑	l∑	X
ejpam-3667	193	3	j=0	j=0	PROPN
ejpam-3667	193	4	(	(	PUNCT
ejpam-3667	193	5	l	l	NOUN
ejpam-3667	193	6	j	j	PROPN
ejpam-3667	193	7	)	)	PUNCT
ejpam-3667	193	8	∆l−jµj	∆l−jµj	PUNCT
ejpam-3667	193	9	{	{	PUNCT
ejpam-3667	193	10	1	1	NUM
ejpam-3667	193	11	2π	2π	NUM
ejpam-3667	193	12	∫	∫	PROPN
ejpam-3667	194	1	π	π	NOUN
ejpam-3667	194	2	0	0	SYM
ejpam-3667	194	3	φ(x	φ(x	PROPN
ejpam-3667	194	4	,	,	PUNCT
ejpam-3667	194	5	s	s	X
ejpam-3667	194	6	)	)	PUNCT
ejpam-3667	194	7	sin	sin	NOUN
ejpam-3667	194	8	(	(	PUNCT
ejpam-3667	194	9	j	j	NOUN
ejpam-3667	194	10	+	+	CCONJ
ejpam-3667	194	11	1	1	NUM
ejpam-3667	194	12	2	2	NUM
ejpam-3667	194	13	)	)	PUNCT
ejpam-3667	194	14	s	s	VERB
ejpam-3667	194	15	sin	sin	NOUN
ejpam-3667	194	16	s	s	PART
ejpam-3667	194	17	2	2	NUM
ejpam-3667	194	18	ds	ds	ADJ
ejpam-3667	194	19	}	}	PUNCT
ejpam-3667	194	20	=	=	SYM
ejpam-3667	194	21	1	1	NUM
ejpam-3667	194	22	2π	2π	NUM
ejpam-3667	194	23	∫	∫	PROPN
ejpam-3667	195	1	π	π	NOUN
ejpam-3667	195	2	0	0	SYM
ejpam-3667	195	3	φ(x	φ(x	PROPN
ejpam-3667	195	4	,	,	PUNCT
ejpam-3667	195	5	s	s	PART
ejpam-3667	195	6	)	)	PUNCT
ejpam-3667	195	7	l∑	l∑	X
ejpam-3667	196	1	j=0	j=0	PROPN
ejpam-3667	196	2	(	(	PUNCT
ejpam-3667	196	3	l	l	NOUN
ejpam-3667	196	4	j	j	PROPN
ejpam-3667	196	5	)	)	PUNCT
ejpam-3667	196	6	∆l−j	∆l−j	INTJ
ejpam-3667	197	1	(	(	PUNCT
ejpam-3667	197	2	∫	∫	PROPN
ejpam-3667	197	3	1	1	NUM
ejpam-3667	197	4	0	0	NUM
ejpam-3667	197	5	zj	zj	NOUN
ejpam-3667	197	6	dξ(z	dξ(z	PROPN
ejpam-3667	197	7	)	)	PUNCT
ejpam-3667	197	8	)	)	PUNCT
ejpam-3667	197	9	sin	sin	NOUN
ejpam-3667	197	10	(	(	PUNCT
ejpam-3667	197	11	j	j	NOUN
ejpam-3667	197	12	+	+	CCONJ
ejpam-3667	197	13	1	1	NUM
ejpam-3667	197	14	2	2	NUM
ejpam-3667	197	15	)	)	PUNCT
ejpam-3667	197	16	s	s	VERB
ejpam-3667	197	17	sin	sin	NOUN
ejpam-3667	197	18	s	s	PART
ejpam-3667	197	19	2	2	NUM
ejpam-3667	197	20	ds	ds	NOUN
ejpam-3667	197	21	=	=	SYM
ejpam-3667	197	22	1	1	NUM
ejpam-3667	197	23	2π	2π	NUM
ejpam-3667	197	24	∫	∫	PROPN
ejpam-3667	198	1	π	π	NOUN
ejpam-3667	198	2	0	0	SYM
ejpam-3667	198	3	φ(x	φ(x	PROPN
ejpam-3667	198	4	,	,	PUNCT
ejpam-3667	198	5	s	s	PART
ejpam-3667	198	6	)	)	PUNCT
ejpam-3667	198	7	l∑	l∑	PUNCT
ejpam-3667	199	1	j=0	j=0	PROPN
ejpam-3667	199	2	∫	∫	PROPN
ejpam-3667	199	3	1	1	NUM
ejpam-3667	199	4	0	0	NUM
ejpam-3667	199	5	(	(	PUNCT
ejpam-3667	199	6	l	l	NOUN
ejpam-3667	199	7	j	j	PROPN
ejpam-3667	199	8	)	)	PUNCT
ejpam-3667	199	9	zj(1−	zj(1−	PROPN
ejpam-3667	199	10	z)l−j	z)l−j	PROPN
ejpam-3667	199	11	dξ(z	dξ(z	NOUN
ejpam-3667	199	12	)	)	PUNCT
ejpam-3667	199	13	sin	sin	NOUN
ejpam-3667	199	14	(	(	PUNCT
ejpam-3667	199	15	j	j	NOUN
ejpam-3667	199	16	+	+	CCONJ
ejpam-3667	199	17	1	1	NUM
ejpam-3667	199	18	2	2	NUM
ejpam-3667	199	19	)	)	PUNCT
ejpam-3667	199	20	s	s	VERB
ejpam-3667	199	21	sin	sin	NOUN
ejpam-3667	199	22	s	s	PART
ejpam-3667	199	23	2	2	NUM
ejpam-3667	199	24	ds	ds	NOUN
ejpam-3667	199	25	.	.	PUNCT
ejpam-3667	200	1	the	the	DET
ejpam-3667	200	2	t	t	PROPN
ejpam-3667	200	3	transform	transform	NOUN
ejpam-3667	200	4	of	of	ADP
ejpam-3667	200	5	t∆h	t∆h	PROPN
ejpam-3667	200	6	l	l	NOUN
ejpam-3667	200	7	(	(	PUNCT
ejpam-3667	200	8	x	x	X
ejpam-3667	200	9	)	)	PUNCT
ejpam-3667	200	10	denoted	denote	VERB
ejpam-3667	200	11	by	by	ADP
ejpam-3667	200	12	tt∆h	tt∆h	PROPN
ejpam-3667	200	13	l	l	NOUN
ejpam-3667	200	14	(	(	PUNCT
ejpam-3667	200	15	x	x	NOUN
ejpam-3667	200	16	)	)	PUNCT
ejpam-3667	200	17	,	,	PUNCT
ejpam-3667	200	18	is	be	AUX
ejpam-3667	200	19	given	give	VERB
ejpam-3667	200	20	by	by	ADP
ejpam-3667	200	21	tt∆h	tt∆h	PROPN
ejpam-3667	200	22	l	l	NOUN
ejpam-3667	200	23	(	(	PUNCT
ejpam-3667	200	24	x)−	x)−	PROPN
ejpam-3667	200	25	g(x	g(x	NOUN
ejpam-3667	200	26	)	)	PUNCT
ejpam-3667	200	27	=	=	PUNCT
ejpam-3667	200	28	l∑	l∑	X
ejpam-3667	200	29	j=0	j=0	PROPN
ejpam-3667	200	30	bl	bl	PROPN
ejpam-3667	200	31	,	,	PUNCT
ejpam-3667	200	32	j	j	PROPN
ejpam-3667	200	33	(	(	PUNCT
ejpam-3667	200	34	1	1	NUM
ejpam-3667	200	35	2π	2π	NUM
ejpam-3667	200	36	∫	∫	PROPN
ejpam-3667	201	1	π	π	NOUN
ejpam-3667	201	2	0	0	SYM
ejpam-3667	201	3	φ(x	φ(x	PROPN
ejpam-3667	201	4	,	,	PUNCT
ejpam-3667	201	5	s	s	PART
ejpam-3667	201	6	)	)	PUNCT
ejpam-3667	201	7	j∑	j∑	PROPN
ejpam-3667	201	8	a=0	a=0	X
ejpam-3667	201	9	∫	∫	PROPN
ejpam-3667	201	10	1	1	NUM
ejpam-3667	201	11	0	0	NUM
ejpam-3667	201	12	(	(	PUNCT
ejpam-3667	201	13	j	j	PROPN
ejpam-3667	201	14	a	a	X
ejpam-3667	201	15	)	)	PUNCT
ejpam-3667	201	16	za(1−	za(1−	PROPN
ejpam-3667	201	17	z)j−a	z)j−a	PROPN
ejpam-3667	201	18	dξ(z	dξ(z	PROPN
ejpam-3667	201	19	)	)	PUNCT
ejpam-3667	201	20	sin	sin	NOUN
ejpam-3667	201	21	(	(	PUNCT
ejpam-3667	201	22	a+	a+	PUNCT
ejpam-3667	201	23	1	1	NUM
ejpam-3667	201	24	2	2	NUM
ejpam-3667	201	25	)	)	PUNCT
ejpam-3667	201	26	s	s	VERB
ejpam-3667	201	27	sin	sin	NOUN
ejpam-3667	201	28	s	s	PART
ejpam-3667	201	29	2	2	NUM
ejpam-3667	201	30	ds	ds	NOUN
ejpam-3667	201	31	)	)	PUNCT
ejpam-3667	201	32	=	=	SYM
ejpam-3667	202	1	1	1	NUM
ejpam-3667	202	2	2π	2π	NUM
ejpam-3667	202	3	∫	∫	PROPN
ejpam-3667	203	1	π	π	NOUN
ejpam-3667	203	2	0	0	SYM
ejpam-3667	203	3	φ(x	φ(x	PROPN
ejpam-3667	203	4	,	,	PUNCT
ejpam-3667	203	5	s	s	PART
ejpam-3667	203	6	)	)	PUNCT
ejpam-3667	203	7	l∑	l∑	X
ejpam-3667	204	1	j=0	j=0	PROPN
ejpam-3667	204	2	bl	bl	PROPN
ejpam-3667	204	3	,	,	PUNCT
ejpam-3667	204	4	j	j	PROPN
ejpam-3667	204	5	j∑	j∑	PROPN
ejpam-3667	204	6	a=0	a=0	X
ejpam-3667	204	7	∫	∫	PROPN
ejpam-3667	204	8	1	1	NUM
ejpam-3667	204	9	0	0	NUM
ejpam-3667	205	1	(	(	PUNCT
ejpam-3667	205	2	j	j	PROPN
ejpam-3667	205	3	a	a	X
ejpam-3667	205	4	)	)	PUNCT
ejpam-3667	205	5	za(1−	za(1−	PROPN
ejpam-3667	205	6	z)j−a	z)j−a	PROPN
ejpam-3667	205	7	dξ(z	dξ(z	PROPN
ejpam-3667	205	8	)	)	PUNCT
ejpam-3667	205	9	sin	sin	NOUN
ejpam-3667	205	10	(	(	PUNCT
ejpam-3667	205	11	a+	a+	PUNCT
ejpam-3667	205	12	1	1	NUM
ejpam-3667	205	13	2	2	NUM
ejpam-3667	205	14	)	)	PUNCT
ejpam-3667	205	15	s	s	VERB
ejpam-3667	205	16	sin	sin	NOUN
ejpam-3667	205	17	s	s	PART
ejpam-3667	205	18	2	2	NUM
ejpam-3667	205	19	ds	ds	NOUN
ejpam-3667	205	20	=	=	SYM
ejpam-3667	205	21	∫	∫	PROPN
ejpam-3667	205	22	π	π	NOUN
ejpam-3667	205	23	0	0	SYM
ejpam-3667	205	24	φ(x	φ(x	PROPN
ejpam-3667	205	25	,	,	PUNCT
ejpam-3667	205	26	s)kt∆h	s)kt∆h	ADJ
ejpam-3667	205	27	l	l	NOUN
ejpam-3667	205	28	(	(	PUNCT
ejpam-3667	205	29	s	s	NOUN
ejpam-3667	205	30	)	)	PUNCT
ejpam-3667	205	31	ds	ds	NOUN
ejpam-3667	205	32	.	.	PUNCT
ejpam-3667	206	1	let	let	VERB
ejpam-3667	206	2	tl(x	tl(x	NUM
ejpam-3667	206	3	)	)	PUNCT
ejpam-3667	206	4	=	=	SYM
ejpam-3667	207	1	tt∆h	tt∆h	PROPN
ejpam-3667	207	2	l	l	NOUN
ejpam-3667	207	3	(	(	PUNCT
ejpam-3667	207	4	x)−	x)−	PROPN
ejpam-3667	207	5	g(x	g(x	NOUN
ejpam-3667	207	6	)	)	PUNCT
ejpam-3667	208	1	=	=	SYM
ejpam-3667	209	1	∫	∫	PROPN
ejpam-3667	209	2	π	π	NOUN
ejpam-3667	209	3	0	0	SYM
ejpam-3667	209	4	φ(x	φ(x	PROPN
ejpam-3667	209	5	,	,	PUNCT
ejpam-3667	209	6	s)kt∆h	s)kt∆h	ADJ
ejpam-3667	209	7	l	l	NOUN
ejpam-3667	209	8	(	(	PUNCT
ejpam-3667	209	9	s	s	NOUN
ejpam-3667	209	10	)	)	PUNCT
ejpam-3667	209	11	ds	ds	NOUN
ejpam-3667	209	12	.	.	PUNCT
ejpam-3667	209	13	then	then	ADV
ejpam-3667	209	14	tl(x+	tl(x+	PROPN
ejpam-3667	209	15	z)−	z)−	PROPN
ejpam-3667	209	16	tl(x	tl(x	PUNCT
ejpam-3667	209	17	)	)	PUNCT
ejpam-3667	209	18	=	=	SYM
ejpam-3667	210	1	∫	∫	PROPN
ejpam-3667	210	2	π	π	X
ejpam-3667	210	3	0	0	PUNCT
ejpam-3667	210	4	(	(	PUNCT
ejpam-3667	210	5	φ(x+	φ(x+	PROPN
ejpam-3667	210	6	z	z	PROPN
ejpam-3667	210	7	,	,	PUNCT
ejpam-3667	210	8	s)−	s)−	PROPN
ejpam-3667	210	9	φ(x	φ(x	NOUN
ejpam-3667	210	10	,	,	PUNCT
ejpam-3667	210	11	s))kt∆h	s))kt∆h	ADP
ejpam-3667	210	12	l	l	NOUN
ejpam-3667	210	13	(	(	PUNCT
ejpam-3667	210	14	s	s	NOUN
ejpam-3667	210	15	)	)	PUNCT
ejpam-3667	210	16	ds	ds	NOUN
ejpam-3667	210	17	.	.	NOUN
ejpam-3667	210	18	using	use	VERB
ejpam-3667	210	19	generalized	generalize	VERB
ejpam-3667	210	20	minkowski	minkowski	ADJ
ejpam-3667	210	21	’s	’s	PART
ejpam-3667	210	22	inequality	inequality	NOUN
ejpam-3667	210	23	[	[	X
ejpam-3667	210	24	6	6	NUM
ejpam-3667	210	25	]	]	PUNCT
ejpam-3667	210	26	,	,	PUNCT
ejpam-3667	210	27	we	we	PRON
ejpam-3667	210	28	obtain	obtain	VERB
ejpam-3667	210	29	‖tl(·,+z)−	‖tl(·,+z)−	PUNCT
ejpam-3667	210	30	tl(·)‖r	tl(·)‖r	PRON
ejpam-3667	210	31	≤	≤	NUM
ejpam-3667	210	32	∫	∫	PROPN
ejpam-3667	211	1	π	π	PROPN
ejpam-3667	211	2	0	0	PUNCT
ejpam-3667	212	1	‖φ(·+	‖φ(·+	PROPN
ejpam-3667	212	2	z	z	PROPN
ejpam-3667	212	3	,	,	PUNCT
ejpam-3667	212	4	s)−	s)−	PROPN
ejpam-3667	212	5	φ	φ	PROPN
ejpam-3667	212	6	(	(	PUNCT
ejpam-3667	212	7	·	·	PUNCT
ejpam-3667	212	8	,	,	PUNCT
ejpam-3667	212	9	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	212	10	l	l	X
ejpam-3667	212	11	(	(	PUNCT
ejpam-3667	212	12	s	s	X
ejpam-3667	212	13	)	)	PUNCT
ejpam-3667	212	14	ds	ds	PROPN
ejpam-3667	212	15	=	=	SYM
ejpam-3667	212	16	∫	∫	PROPN
ejpam-3667	212	17	1	1	NUM
ejpam-3667	212	18	l+1	l+1	SYM
ejpam-3667	212	19	0	0	NUM
ejpam-3667	213	1	‖φ(·+	‖φ(·+	ADJ
ejpam-3667	213	2	z	z	PROPN
ejpam-3667	213	3	,	,	PUNCT
ejpam-3667	213	4	s)−	s)−	PROPN
ejpam-3667	213	5	φ	φ	PROPN
ejpam-3667	213	6	(	(	PUNCT
ejpam-3667	213	7	·	·	PUNCT
ejpam-3667	213	8	,	,	PUNCT
ejpam-3667	213	9	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	213	10	l	l	X
ejpam-3667	213	11	(	(	PUNCT
ejpam-3667	213	12	s	s	X
ejpam-3667	213	13	)	)	PUNCT
ejpam-3667	213	14	ds	ds	PROPN
ejpam-3667	214	1	+	+	CCONJ
ejpam-3667	214	2	∫	∫	PROPN
ejpam-3667	214	3	π	π	PROPN
ejpam-3667	214	4	1	1	NUM
ejpam-3667	214	5	l+1	l+1	PROPN
ejpam-3667	214	6	‖φ(·+	‖φ(·+	PROPN
ejpam-3667	214	7	z	z	X
ejpam-3667	214	8	,	,	PUNCT
ejpam-3667	214	9	s)−	s)−	PROPN
ejpam-3667	214	10	φ	φ	PROPN
ejpam-3667	214	11	(	(	PUNCT
ejpam-3667	214	12	·	·	PUNCT
ejpam-3667	214	13	,	,	PUNCT
ejpam-3667	214	14	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	214	15	l	l	X
ejpam-3667	214	16	(	(	PUNCT
ejpam-3667	214	17	s	s	X
ejpam-3667	214	18	)	)	PUNCT
ejpam-3667	214	19	ds	ds	PROPN
ejpam-3667	214	20	=	=	PROPN
ejpam-3667	214	21	i1	i1	PROPN
ejpam-3667	214	22	+	+	CCONJ
ejpam-3667	214	23	i2	i2	PROPN
ejpam-3667	214	24	.	.	PUNCT
ejpam-3667	215	1	(	(	PUNCT
ejpam-3667	215	2	13	13	NUM
ejpam-3667	215	3	)	)	PUNCT
ejpam-3667	215	4	using	use	VERB
ejpam-3667	215	5	lemmas	lemmas	PROPN
ejpam-3667	215	6	1	1	NUM
ejpam-3667	215	7	and	and	CCONJ
ejpam-3667	215	8	3	3	NUM
ejpam-3667	215	9	(	(	PUNCT
ejpam-3667	215	10	iii	iii	NOUN
ejpam-3667	215	11	)	)	PUNCT
ejpam-3667	215	12	,	,	PUNCT
ejpam-3667	215	13	we	we	PRON
ejpam-3667	215	14	get	get	VERB
ejpam-3667	215	15	i1	i1	PROPN
ejpam-3667	215	16	=	=	PUNCT
ejpam-3667	216	1	∫	∫	PROPN
ejpam-3667	216	2	1	1	NUM
ejpam-3667	217	1	l+1	l+1	SYM
ejpam-3667	217	2	0	0	NUM
ejpam-3667	218	1	‖φ(·+	‖φ(·+	ADJ
ejpam-3667	218	2	z	z	PROPN
ejpam-3667	218	3	,	,	PUNCT
ejpam-3667	218	4	s)−	s)−	PROPN
ejpam-3667	218	5	φ	φ	PROPN
ejpam-3667	218	6	(	(	PUNCT
ejpam-3667	218	7	·	·	PUNCT
ejpam-3667	218	8	,	,	PUNCT
ejpam-3667	218	9	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	218	10	l	l	X
ejpam-3667	218	11	(	(	PUNCT
ejpam-3667	218	12	s	s	X
ejpam-3667	218	13	)	)	PUNCT
ejpam-3667	218	14	ds	ds	ADJ
ejpam-3667	218	15	s.	s.	PROPN
ejpam-3667	218	16	rani	rani	PROPN
ejpam-3667	218	17	,	,	PUNCT
ejpam-3667	218	18	h.	h.	PROPN
ejpam-3667	218	19	k.	k.	PROPN
ejpam-3667	218	20	nigam	nigam	PROPN
ejpam-3667	218	21	/	/	SYM
ejpam-3667	218	22	eur	eur	PROPN
ejpam-3667	218	23	.	.	PUNCT
ejpam-3667	219	1	j.	j.	PROPN
ejpam-3667	219	2	pure	pure	PROPN
ejpam-3667	219	3	appl	appl	PROPN
ejpam-3667	219	4	.	.	PROPN
ejpam-3667	219	5	math	math	PROPN
ejpam-3667	219	6	,	,	PUNCT
ejpam-3667	219	7	13	13	NUM
ejpam-3667	219	8	(	(	PUNCT
ejpam-3667	219	9	2	2	NUM
ejpam-3667	219	10	)	)	PUNCT
ejpam-3667	219	11	(	(	PUNCT
ejpam-3667	219	12	2020	2020	NUM
ejpam-3667	219	13	)	)	PUNCT
ejpam-3667	219	14	,	,	PUNCT
ejpam-3667	219	15	351	351	NUM
ejpam-3667	219	16	-	-	SYM
ejpam-3667	219	17	368	368	NUM
ejpam-3667	219	18	362	362	NUM
ejpam-3667	219	19	=	=	SYM
ejpam-3667	219	20	o(l	o(l	PROPN
ejpam-3667	219	21	+	+	CCONJ
ejpam-3667	219	22	1	1	X
ejpam-3667	219	23	)	)	PUNCT
ejpam-3667	219	24	(	(	PUNCT
ejpam-3667	219	25	χ(|z|	χ(|z|	PROPN
ejpam-3667	219	26	)	)	PUNCT
ejpam-3667	219	27	∫	∫	PROPN
ejpam-3667	219	28	1	1	NUM
ejpam-3667	219	29	l+1	l+1	SYM
ejpam-3667	219	30	0	0	NUM
ejpam-3667	219	31	η(s	η(s	PROPN
ejpam-3667	219	32	)	)	PUNCT
ejpam-3667	219	33	χ(s	χ(s	NOUN
ejpam-3667	219	34	)	)	PUNCT
ejpam-3667	219	35	ds	ds	ADJ
ejpam-3667	219	36	)	)	PUNCT
ejpam-3667	219	37	=	=	SYM
ejpam-3667	219	38	(	(	PUNCT
ejpam-3667	219	39	χ(|z|	χ(|z|	PROPN
ejpam-3667	219	40	)	)	PUNCT
ejpam-3667	219	41	η	η	PROPN
ejpam-3667	219	42	(	(	PUNCT
ejpam-3667	219	43	1	1	NUM
ejpam-3667	219	44	l+1	l+1	NOUN
ejpam-3667	219	45	)	)	PUNCT
ejpam-3667	220	1	χ	χ	NOUN
ejpam-3667	220	2	(	(	PUNCT
ejpam-3667	220	3	1	1	NUM
ejpam-3667	220	4	l+1	l+1	NOUN
ejpam-3667	220	5	)	)	PUNCT
ejpam-3667	220	6	)	)	PUNCT
ejpam-3667	220	7	.	.	PUNCT
ejpam-3667	221	1	(	(	PUNCT
ejpam-3667	221	2	14	14	NUM
ejpam-3667	221	3	)	)	PUNCT
ejpam-3667	221	4	also	also	ADV
ejpam-3667	221	5	,	,	PUNCT
ejpam-3667	221	6	using	use	VERB
ejpam-3667	221	7	lemmas	lemmas	PROPN
ejpam-3667	221	8	2	2	NUM
ejpam-3667	221	9	and	and	CCONJ
ejpam-3667	221	10	3	3	NUM
ejpam-3667	221	11	(	(	PUNCT
ejpam-3667	221	12	iii	iii	NOUN
ejpam-3667	221	13	)	)	PUNCT
ejpam-3667	221	14	,	,	PUNCT
ejpam-3667	221	15	we	we	PRON
ejpam-3667	221	16	get	get	VERB
ejpam-3667	221	17	i2	i2	PROPN
ejpam-3667	221	18	=	=	SYM
ejpam-3667	221	19	∫	∫	PROPN
ejpam-3667	221	20	π	π	PROPN
ejpam-3667	221	21	1	1	NUM
ejpam-3667	221	22	l+1	l+1	PROPN
ejpam-3667	221	23	‖φ(·+	‖φ(·+	PROPN
ejpam-3667	221	24	z	z	X
ejpam-3667	221	25	,	,	PUNCT
ejpam-3667	221	26	s)−	s)−	PROPN
ejpam-3667	221	27	φ	φ	PROPN
ejpam-3667	221	28	(	(	PUNCT
ejpam-3667	221	29	·	·	PUNCT
ejpam-3667	221	30	,	,	PUNCT
ejpam-3667	221	31	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	221	32	l	l	X
ejpam-3667	221	33	(	(	PUNCT
ejpam-3667	221	34	s	s	X
ejpam-3667	221	35	)	)	PUNCT
ejpam-3667	221	36	ds	ds	NOUN
ejpam-3667	221	37	=	=	ADJ
ejpam-3667	221	38	o	o	X
ejpam-3667	221	39	(	(	PUNCT
ejpam-3667	221	40	1	1	NUM
ejpam-3667	221	41	l	l	NOUN
ejpam-3667	221	42	+	+	NOUN
ejpam-3667	222	1	1	1	NUM
ejpam-3667	222	2	∫	∫	NOUN
ejpam-3667	222	3	π	π	PROPN
ejpam-3667	222	4	1	1	NUM
ejpam-3667	222	5	l+1	l+1	PRON
ejpam-3667	222	6	χ(|z|	χ(|z|	PROPN
ejpam-3667	222	7	)	)	PUNCT
ejpam-3667	222	8	η(s	η(s	PROPN
ejpam-3667	222	9	)	)	PUNCT
ejpam-3667	222	10	s2χ(s	s2χ(s	NOUN
ejpam-3667	222	11	)	)	PUNCT
ejpam-3667	222	12	ds	ds	NOUN
ejpam-3667	222	13	)	)	PUNCT
ejpam-3667	222	14	.	.	PUNCT
ejpam-3667	223	1	(	(	PUNCT
ejpam-3667	223	2	15	15	NUM
ejpam-3667	223	3	)	)	PUNCT
ejpam-3667	223	4	from	from	ADP
ejpam-3667	223	5	(	(	PUNCT
ejpam-3667	223	6	13	13	NUM
ejpam-3667	223	7	)	)	PUNCT
ejpam-3667	223	8	,	,	PUNCT
ejpam-3667	223	9	(	(	PUNCT
ejpam-3667	223	10	14	14	NUM
ejpam-3667	223	11	)	)	PUNCT
ejpam-3667	223	12	and	and	CCONJ
ejpam-3667	223	13	(	(	PUNCT
ejpam-3667	223	14	15	15	NUM
ejpam-3667	223	15	)	)	PUNCT
ejpam-3667	223	16	,	,	PUNCT
ejpam-3667	223	17	we	we	PRON
ejpam-3667	223	18	have	have	VERB
ejpam-3667	223	19	sup	sup	NOUN
ejpam-3667	223	20	z	z	NOUN
ejpam-3667	223	21	6=0	6=0	NUM
ejpam-3667	223	22	‖tl(·,+z)−	‖tl(·,+z)−	PUNCT
ejpam-3667	223	23	tl(·)‖r	tl(·)‖r	PRON
ejpam-3667	223	24	χ(|z|	χ(|z|	VERB
ejpam-3667	223	25	)	)	PUNCT
ejpam-3667	224	1	=	=	SYM
ejpam-3667	225	1	o	o	X
ejpam-3667	225	2			PROPN
ejpam-3667	225	3	η	η	PROPN
ejpam-3667	225	4	(	(	PUNCT
ejpam-3667	225	5	1	1	NUM
ejpam-3667	225	6	l+1	l+1	NOUN
ejpam-3667	225	7	)	)	PUNCT
ejpam-3667	225	8	χ	χ	X
ejpam-3667	225	9	(	(	PUNCT
ejpam-3667	225	10	1	1	NUM
ejpam-3667	225	11	l+1	l+1	ADV
ejpam-3667	225	12	)	)	PUNCT
ejpam-3667	226	1	+	+	PROPN
ejpam-3667	226	2	o	o	NOUN
ejpam-3667	226	3	(	(	PUNCT
ejpam-3667	226	4	1	1	NUM
ejpam-3667	226	5	l	l	NOUN
ejpam-3667	226	6	+	+	NOUN
ejpam-3667	226	7	1	1	NUM
ejpam-3667	226	8	∫	∫	NOUN
ejpam-3667	226	9	π	π	PROPN
ejpam-3667	226	10	1	1	NUM
ejpam-3667	226	11	l+1	l+1	PART
ejpam-3667	226	12	η(s	η(	NOUN
ejpam-3667	226	13	)	)	PUNCT
ejpam-3667	226	14	s2χ(s	s2χ(s	NOUN
ejpam-3667	226	15	)	)	PUNCT
ejpam-3667	226	16	ds	ds	NOUN
ejpam-3667	226	17	)	)	PUNCT
ejpam-3667	226	18	.	.	PUNCT
ejpam-3667	227	1	(	(	PUNCT
ejpam-3667	227	2	16	16	NUM
ejpam-3667	227	3	)	)	PUNCT
ejpam-3667	227	4	again	again	ADV
ejpam-3667	227	5	applying	apply	VERB
ejpam-3667	227	6	minkowski	minkowski	ADJ
ejpam-3667	227	7	’s	’s	PART
ejpam-3667	227	8	inequality	inequality	NOUN
ejpam-3667	227	9	and	and	CCONJ
ejpam-3667	227	10	using	use	VERB
ejpam-3667	227	11	lemmas	lemmas	PROPN
ejpam-3667	227	12	1	1	NUM
ejpam-3667	227	13	,	,	PUNCT
ejpam-3667	227	14	2	2	NUM
ejpam-3667	227	15	and	and	CCONJ
ejpam-3667	227	16	3	3	NUM
ejpam-3667	227	17	(	(	PUNCT
ejpam-3667	227	18	i	i	NOUN
ejpam-3667	227	19	)	)	PUNCT
ejpam-3667	227	20	,	,	PUNCT
ejpam-3667	227	21	we	we	PRON
ejpam-3667	227	22	obtain	obtain	VERB
ejpam-3667	227	23	‖tl(·)‖r	‖tl(·)‖r	PROPN
ejpam-3667	227	24	=	=	SYM
ejpam-3667	227	25	‖tt∆h	‖tt∆h	PROPN
ejpam-3667	228	1	l	l	NOUN
ejpam-3667	228	2	−	−	NOUN
ejpam-3667	228	3	g‖r	g‖r	NOUN
ejpam-3667	228	4	≤	≤	X
ejpam-3667	228	5	(	(	PUNCT
ejpam-3667	228	6	∫	∫	PROPN
ejpam-3667	228	7	1	1	NUM
ejpam-3667	228	8	l+1	l+1	NOUN
ejpam-3667	228	9	0	0	NUM
ejpam-3667	229	1	+	+	CCONJ
ejpam-3667	229	2	∫	∫	PROPN
ejpam-3667	229	3	π	π	PROPN
ejpam-3667	229	4	1	1	NUM
ejpam-3667	229	5	l+1	l+1	CCONJ
ejpam-3667	229	6	)	)	PUNCT
ejpam-3667	229	7	‖φ	‖φ	PROPN
ejpam-3667	229	8	(	(	PUNCT
ejpam-3667	229	9	·	·	PUNCT
ejpam-3667	229	10	,	,	PUNCT
ejpam-3667	229	11	s)‖rkt∆h	s)‖rkt∆h	X
ejpam-3667	229	12	l	l	X
ejpam-3667	229	13	(	(	PUNCT
ejpam-3667	229	14	s	s	X
ejpam-3667	229	15	)	)	PUNCT
ejpam-3667	229	16	ds	ds	NOUN
ejpam-3667	229	17	=	=	ADJ
ejpam-3667	229	18	o	o	X
ejpam-3667	229	19	(	(	PUNCT
ejpam-3667	229	20	(	(	PUNCT
ejpam-3667	229	21	l	l	NOUN
ejpam-3667	229	22	+	+	NOUN
ejpam-3667	229	23	1	1	X
ejpam-3667	229	24	)	)	PUNCT
ejpam-3667	229	25	∫	∫	PROPN
ejpam-3667	229	26	1	1	NUM
ejpam-3667	229	27	l+1	l+1	NOUN
ejpam-3667	229	28	0	0	NUM
ejpam-3667	229	29	η(s	η(	NOUN
ejpam-3667	229	30	)	)	PUNCT
ejpam-3667	229	31	ds	ds	NOUN
ejpam-3667	229	32	)	)	PUNCT
ejpam-3667	230	1	+	+	CCONJ
ejpam-3667	230	2	o	o	X
ejpam-3667	230	3	(	(	PUNCT
ejpam-3667	230	4	1	1	NUM
ejpam-3667	230	5	l	l	NOUN
ejpam-3667	230	6	+	+	NOUN
ejpam-3667	230	7	1	1	NUM
ejpam-3667	230	8	∫	∫	NOUN
ejpam-3667	230	9	π	π	PROPN
ejpam-3667	230	10	1	1	NUM
ejpam-3667	230	11	l+1	l+1	PART
ejpam-3667	230	12	η(s	η(	NOUN
ejpam-3667	230	13	)	)	PUNCT
ejpam-3667	230	14	s2	s2	NOUN
ejpam-3667	230	15	ds	ds	NOUN
ejpam-3667	230	16	)	)	PUNCT
ejpam-3667	230	17	=	=	SYM
ejpam-3667	230	18	o	o	X
ejpam-3667	230	19	(	(	PUNCT
ejpam-3667	230	20	η	η	PROPN
ejpam-3667	230	21	(	(	PUNCT
ejpam-3667	230	22	1	1	NUM
ejpam-3667	230	23	l	l	NOUN
ejpam-3667	230	24	+	+	NOUN
ejpam-3667	230	25	1	1	NUM
ejpam-3667	230	26	)	)	PUNCT
ejpam-3667	230	27	)	)	PUNCT
ejpam-3667	231	1	+	+	CCONJ
ejpam-3667	231	2	o	o	X
ejpam-3667	231	3	(	(	PUNCT
ejpam-3667	231	4	1	1	NUM
ejpam-3667	231	5	l	l	NOUN
ejpam-3667	231	6	+	+	NOUN
ejpam-3667	231	7	1	1	NUM
ejpam-3667	231	8	∫	∫	NOUN
ejpam-3667	231	9	π	π	PROPN
ejpam-3667	231	10	1	1	NUM
ejpam-3667	231	11	l+1	l+1	PART
ejpam-3667	231	12	η(s	η(	NOUN
ejpam-3667	231	13	)	)	PUNCT
ejpam-3667	231	14	s2	s2	NOUN
ejpam-3667	231	15	ds	ds	NOUN
ejpam-3667	231	16	)	)	PUNCT
ejpam-3667	231	17	.	.	PUNCT
ejpam-3667	232	1	(	(	PUNCT
ejpam-3667	232	2	17	17	NUM
ejpam-3667	232	3	)	)	PUNCT
ejpam-3667	232	4	we	we	PRON
ejpam-3667	232	5	know	know	VERB
ejpam-3667	232	6	that	that	PRON
ejpam-3667	232	7	‖tl(·)‖(χ	‖tl(·)‖(χ	X
ejpam-3667	232	8	)	)	PUNCT
ejpam-3667	232	9	r	r	NOUN
ejpam-3667	232	10	=	=	SYM
ejpam-3667	232	11	‖tl(·)‖r	‖tl(·)‖r	PROPN
ejpam-3667	232	12	+	+	CCONJ
ejpam-3667	233	1	sup	sup	PROPN
ejpam-3667	233	2	z	z	PROPN
ejpam-3667	233	3	6=0	6=0	NUM
ejpam-3667	233	4	‖tl(·,+z)−	‖tl(·,+z)−	PUNCT
ejpam-3667	233	5	tl(·)‖r	tl(·)‖r	X
ejpam-3667	233	6	χ(|z|	χ(|z|	NOUN
ejpam-3667	233	7	)	)	PUNCT
ejpam-3667	233	8	.	.	PUNCT
ejpam-3667	234	1	(	(	PUNCT
ejpam-3667	234	2	18	18	NUM
ejpam-3667	234	3	)	)	PUNCT
ejpam-3667	234	4	now	now	ADV
ejpam-3667	234	5	,	,	PUNCT
ejpam-3667	234	6	using	use	VERB
ejpam-3667	234	7	(	(	PUNCT
ejpam-3667	234	8	16	16	NUM
ejpam-3667	234	9	)	)	PUNCT
ejpam-3667	234	10	,	,	PUNCT
ejpam-3667	234	11	(	(	PUNCT
ejpam-3667	234	12	17	17	NUM
ejpam-3667	234	13	)	)	PUNCT
ejpam-3667	234	14	and	and	CCONJ
ejpam-3667	234	15	(	(	PUNCT
ejpam-3667	234	16	18	18	NUM
ejpam-3667	234	17	)	)	PUNCT
ejpam-3667	234	18	,	,	PUNCT
ejpam-3667	234	19	we	we	PRON
ejpam-3667	234	20	get	get	VERB
ejpam-3667	234	21	‖tl(·)‖(χ	‖tl(·)‖(χ	PUNCT
ejpam-3667	234	22	)	)	PUNCT
ejpam-3667	235	1	r	r	NOUN
ejpam-3667	235	2	=	=	PUNCT
ejpam-3667	235	3	o	o	X
ejpam-3667	235	4	(	(	PUNCT
ejpam-3667	235	5	η	η	PROPN
ejpam-3667	235	6	(	(	PUNCT
ejpam-3667	235	7	1	1	NUM
ejpam-3667	235	8	l	l	NOUN
ejpam-3667	235	9	+	+	NOUN
ejpam-3667	235	10	1	1	NUM
ejpam-3667	235	11	)	)	PUNCT
ejpam-3667	235	12	)	)	PUNCT
ejpam-3667	236	1	+	+	CCONJ
ejpam-3667	236	2	o	o	X
ejpam-3667	236	3	(	(	PUNCT
ejpam-3667	236	4	1	1	NUM
ejpam-3667	236	5	l	l	NOUN
ejpam-3667	236	6	+	+	NOUN
ejpam-3667	236	7	1	1	NUM
ejpam-3667	236	8	∫	∫	NOUN
ejpam-3667	236	9	π	π	PROPN
ejpam-3667	236	10	1	1	NUM
ejpam-3667	236	11	l+1	l+1	PART
ejpam-3667	236	12	η(s	η(	NOUN
ejpam-3667	236	13	)	)	PUNCT
ejpam-3667	236	14	s2	s2	NOUN
ejpam-3667	236	15	ds	ds	NOUN
ejpam-3667	236	16	)	)	PUNCT
ejpam-3667	237	1	+	+	NUM
ejpam-3667	237	2	o	o	X
ejpam-3667	237	3			PROPN
ejpam-3667	237	4	η	η	PROPN
ejpam-3667	237	5	(	(	PUNCT
ejpam-3667	237	6	1	1	NUM
ejpam-3667	237	7	l+1	l+1	NOUN
ejpam-3667	237	8	)	)	PUNCT
ejpam-3667	237	9	χ	χ	X
ejpam-3667	237	10	(	(	PUNCT
ejpam-3667	237	11	1	1	NUM
ejpam-3667	237	12	l+1	l+1	ADV
ejpam-3667	237	13	)	)	PUNCT
ejpam-3667	238	1	+	+	PROPN
ejpam-3667	238	2	o	o	NOUN
ejpam-3667	238	3	(	(	PUNCT
ejpam-3667	238	4	1	1	NUM
ejpam-3667	238	5	l	l	NOUN
ejpam-3667	238	6	+	+	NOUN
ejpam-3667	238	7	1	1	NUM
ejpam-3667	238	8	∫	∫	NOUN
ejpam-3667	238	9	π	π	PROPN
ejpam-3667	238	10	1	1	NUM
ejpam-3667	238	11	l+1	l+1	PART
ejpam-3667	238	12	η(s	η(	NOUN
ejpam-3667	238	13	)	)	PUNCT
ejpam-3667	238	14	s2χ(s	s2χ(s	NOUN
ejpam-3667	238	15	)	)	PUNCT
ejpam-3667	238	16	ds	ds	NOUN
ejpam-3667	238	17	)	)	PUNCT
ejpam-3667	238	18	.	.	PUNCT
ejpam-3667	239	1	(	(	PUNCT
ejpam-3667	239	2	19	19	NUM
ejpam-3667	239	3	)	)	PUNCT
ejpam-3667	239	4	s.	s.	PROPN
ejpam-3667	239	5	rani	rani	PROPN
ejpam-3667	239	6	,	,	PUNCT
ejpam-3667	239	7	h.	h.	PROPN
ejpam-3667	239	8	k.	k.	PROPN
ejpam-3667	239	9	nigam	nigam	PROPN
ejpam-3667	239	10	/	/	SYM
ejpam-3667	239	11	eur	eur	PROPN
ejpam-3667	239	12	.	.	PUNCT
ejpam-3667	240	1	j.	j.	PROPN
ejpam-3667	240	2	pure	pure	PROPN
ejpam-3667	240	3	appl	appl	PROPN
ejpam-3667	240	4	.	.	PROPN
ejpam-3667	240	5	math	math	PROPN
ejpam-3667	240	6	,	,	PUNCT
ejpam-3667	240	7	13	13	NUM
ejpam-3667	240	8	(	(	PUNCT
ejpam-3667	240	9	2	2	NUM
ejpam-3667	240	10	)	)	PUNCT
ejpam-3667	240	11	(	(	PUNCT
ejpam-3667	240	12	2020	2020	NUM
ejpam-3667	240	13	)	)	PUNCT
ejpam-3667	240	14	,	,	PUNCT
ejpam-3667	240	15	351	351	NUM
ejpam-3667	240	16	-	-	SYM
ejpam-3667	240	17	368	368	NUM
ejpam-3667	240	18	363	363	NUM
ejpam-3667	240	19	by	by	ADP
ejpam-3667	240	20	the	the	DET
ejpam-3667	240	21	monotonicity	monotonicity	NOUN
ejpam-3667	240	22	of	of	ADP
ejpam-3667	240	23	χ(s	χ(s	PROPN
ejpam-3667	240	24	)	)	PUNCT
ejpam-3667	240	25	,	,	PUNCT
ejpam-3667	240	26	η(s	η(s	PROPN
ejpam-3667	240	27	)	)	PUNCT
ejpam-3667	240	28	=	=	SYM
ejpam-3667	241	1	η(s	η(s	PROPN
ejpam-3667	241	2	)	)	PUNCT
ejpam-3667	241	3	χ(s)χ(s	χ(s)χ(s	NUM
ejpam-3667	241	4	)	)	PUNCT
ejpam-3667	241	5	≤	≤	NUM
ejpam-3667	241	6	χ(π	χ(π	NOUN
ejpam-3667	241	7	)	)	PUNCT
ejpam-3667	241	8	η(s	η(s	PROPN
ejpam-3667	241	9	)	)	PUNCT
ejpam-3667	241	10	χ(s	χ(s	NOUN
ejpam-3667	241	11	)	)	PUNCT
ejpam-3667	241	12	for	for	ADP
ejpam-3667	241	13	0	0	NUM
ejpam-3667	241	14	<	<	X
ejpam-3667	241	15	s	s	PART
ejpam-3667	241	16	≤	≤	PROPN
ejpam-3667	241	17	π	π	PROPN
ejpam-3667	241	18	,	,	PUNCT
ejpam-3667	241	19	we	we	PRON
ejpam-3667	241	20	get	get	VERB
ejpam-3667	241	21	‖tl(·)‖(χ	‖tl(·)‖(χ	PUNCT
ejpam-3667	241	22	)	)	PUNCT
ejpam-3667	241	23	r	r	NOUN
ejpam-3667	241	24	=	=	PUNCT
ejpam-3667	241	25	o	o	X
ejpam-3667	241	26			PROPN
ejpam-3667	241	27	η	η	PROPN
ejpam-3667	241	28	(	(	PUNCT
ejpam-3667	241	29	1	1	NUM
ejpam-3667	241	30	l+1	l+1	NOUN
ejpam-3667	241	31	)	)	PUNCT
ejpam-3667	242	1	χ	χ	X
ejpam-3667	242	2	(	(	PUNCT
ejpam-3667	242	3	1	1	NUM
ejpam-3667	242	4	l+1	l+1	ADV
ejpam-3667	242	5	)	)	PUNCT
ejpam-3667	243	1	+	+	PROPN
ejpam-3667	243	2	o	o	NOUN
ejpam-3667	243	3	(	(	PUNCT
ejpam-3667	243	4	1	1	NUM
ejpam-3667	243	5	l	l	NOUN
ejpam-3667	243	6	+	+	NOUN
ejpam-3667	243	7	1	1	NUM
ejpam-3667	243	8	∫	∫	NOUN
ejpam-3667	243	9	π	π	PROPN
ejpam-3667	243	10	1	1	NUM
ejpam-3667	243	11	l+1	l+1	PART
ejpam-3667	243	12	η(s	η(	NOUN
ejpam-3667	243	13	)	)	PUNCT
ejpam-3667	243	14	s2χ(s	s2χ(s	NOUN
ejpam-3667	243	15	)	)	PUNCT
ejpam-3667	243	16	ds	ds	NOUN
ejpam-3667	243	17	)	)	PUNCT
ejpam-3667	243	18	.	.	PUNCT
ejpam-3667	244	1	(	(	PUNCT
ejpam-3667	244	2	20	20	NUM
ejpam-3667	244	3	)	)	PUNCT
ejpam-3667	244	4	since	since	SCONJ
ejpam-3667	244	5	η	η	PROPN
ejpam-3667	244	6	and	and	CCONJ
ejpam-3667	244	7	χ	χ	PROPN
ejpam-3667	244	8	are	be	AUX
ejpam-3667	244	9	as	as	ADV
ejpam-3667	244	10	defined	define	VERB
ejpam-3667	244	11	in	in	ADP
ejpam-3667	244	12	note	note	NOUN
ejpam-3667	244	13	1	1	NUM
ejpam-3667	244	14	,	,	PUNCT
ejpam-3667	244	15	therefore	therefore	ADV
ejpam-3667	244	16	1	1	NUM
ejpam-3667	244	17	l	l	NOUN
ejpam-3667	244	18	+	+	NOUN
ejpam-3667	244	19	1	1	NUM
ejpam-3667	244	20	∫	∫	NOUN
ejpam-3667	244	21	π	π	PROPN
ejpam-3667	244	22	1	1	NUM
ejpam-3667	244	23	l+1	l+1	PART
ejpam-3667	244	24	η(s	η(	NOUN
ejpam-3667	244	25	)	)	PUNCT
ejpam-3667	244	26	s2χ(s	s2χ(s	NOUN
ejpam-3667	244	27	)	)	PUNCT
ejpam-3667	244	28	ds	ds	PROPN
ejpam-3667	244	29	≥	≥	PROPN
ejpam-3667	244	30	η	η	PROPN
ejpam-3667	244	31	(	(	PUNCT
ejpam-3667	244	32	1	1	NUM
ejpam-3667	244	33	l+1	l+1	NOUN
ejpam-3667	244	34	)	)	PUNCT
ejpam-3667	245	1	χ	χ	X
ejpam-3667	245	2	(	(	PUNCT
ejpam-3667	245	3	1	1	NUM
ejpam-3667	245	4	l+1	l+1	ADV
ejpam-3667	245	5	)	)	PUNCT
ejpam-3667	245	6	(	(	PUNCT
ejpam-3667	245	7	1	1	NUM
ejpam-3667	245	8	l	l	NOUN
ejpam-3667	245	9	+	+	NOUN
ejpam-3667	245	10	1	1	NUM
ejpam-3667	245	11	)	)	PUNCT
ejpam-3667	245	12	∫	∫	PROPN
ejpam-3667	246	1	π	π	PROPN
ejpam-3667	246	2	1	1	NUM
ejpam-3667	246	3	l+1	l+1	SYM
ejpam-3667	246	4	1	1	NUM
ejpam-3667	246	5	s2	s2	NOUN
ejpam-3667	246	6	ds	ds	PROPN
ejpam-3667	246	7	≥	≥	PROPN
ejpam-3667	246	8	η	η	PROPN
ejpam-3667	246	9	(	(	PUNCT
ejpam-3667	246	10	1	1	NUM
ejpam-3667	246	11	l+1	l+1	ADV
ejpam-3667	246	12	)	)	PUNCT
ejpam-3667	246	13	2χ	2χ	NOUN
ejpam-3667	246	14	(	(	PUNCT
ejpam-3667	246	15	1	1	NUM
ejpam-3667	246	16	l+1	l+1	PRON
ejpam-3667	246	17	)	)	PUNCT
ejpam-3667	246	18	.	.	PUNCT
ejpam-3667	247	1	then	then	ADV
ejpam-3667	247	2	,	,	PUNCT
ejpam-3667	247	3	η	η	PROPN
ejpam-3667	247	4	(	(	PUNCT
ejpam-3667	247	5	1	1	NUM
ejpam-3667	247	6	l+1	l+1	NOUN
ejpam-3667	247	7	)	)	PUNCT
ejpam-3667	247	8	χ	χ	X
ejpam-3667	247	9	(	(	PUNCT
ejpam-3667	247	10	1	1	NUM
ejpam-3667	247	11	l+1	l+1	ADV
ejpam-3667	247	12	)	)	PUNCT
ejpam-3667	247	13	=	=	PUNCT
ejpam-3667	247	14	o	o	NOUN
ejpam-3667	247	15	(	(	PUNCT
ejpam-3667	247	16	1	1	NUM
ejpam-3667	247	17	l	l	NOUN
ejpam-3667	247	18	+	+	NOUN
ejpam-3667	247	19	1	1	NUM
ejpam-3667	247	20	∫	∫	NOUN
ejpam-3667	247	21	π	π	PROPN
ejpam-3667	247	22	1	1	NUM
ejpam-3667	247	23	l+1	l+1	PART
ejpam-3667	247	24	η(s	η(	NOUN
ejpam-3667	247	25	)	)	PUNCT
ejpam-3667	247	26	s2χ(s	s2χ(s	NOUN
ejpam-3667	247	27	)	)	PUNCT
ejpam-3667	247	28	ds	ds	NOUN
ejpam-3667	247	29	)	)	PUNCT
ejpam-3667	247	30	.	.	PUNCT
ejpam-3667	248	1	(	(	PUNCT
ejpam-3667	248	2	21	21	NUM
ejpam-3667	248	3	)	)	PUNCT
ejpam-3667	248	4	from	from	ADP
ejpam-3667	248	5	(	(	PUNCT
ejpam-3667	248	6	20	20	NUM
ejpam-3667	248	7	)	)	PUNCT
ejpam-3667	248	8	and	and	CCONJ
ejpam-3667	248	9	(	(	PUNCT
ejpam-3667	248	10	21	21	NUM
ejpam-3667	248	11	)	)	PUNCT
ejpam-3667	248	12	,	,	PUNCT
ejpam-3667	248	13	we	we	PRON
ejpam-3667	248	14	get	get	VERB
ejpam-3667	248	15	‖tl(·)‖(χ	‖tl(·)‖(χ	PUNCT
ejpam-3667	248	16	)	)	PUNCT
ejpam-3667	249	1	r	r	NOUN
ejpam-3667	249	2	=	=	PUNCT
ejpam-3667	249	3	o	o	X
ejpam-3667	249	4	(	(	PUNCT
ejpam-3667	249	5	1	1	NUM
ejpam-3667	249	6	l	l	NOUN
ejpam-3667	249	7	+	+	NOUN
ejpam-3667	249	8	1	1	NUM
ejpam-3667	249	9	∫	∫	NOUN
ejpam-3667	249	10	π	π	PROPN
ejpam-3667	249	11	1	1	NUM
ejpam-3667	249	12	l+1	l+1	PART
ejpam-3667	249	13	η(s	η(	NOUN
ejpam-3667	249	14	)	)	PUNCT
ejpam-3667	249	15	s2χ(s	s2χ(s	NOUN
ejpam-3667	249	16	)	)	PUNCT
ejpam-3667	249	17	ds	ds	PROPN
ejpam-3667	249	18	)	)	PUNCT
ejpam-3667	249	19	,	,	PUNCT
ejpam-3667	249	20	‖tt∆h	‖tt∆h	PROPN
ejpam-3667	249	21	l	l	NOUN
ejpam-3667	249	22	−	−	NOUN
ejpam-3667	249	23	g‖(χ	g‖(χ	NOUN
ejpam-3667	249	24	)	)	PUNCT
ejpam-3667	249	25	r	r	NOUN
ejpam-3667	249	26	=	=	PUNCT
ejpam-3667	249	27	o	o	X
ejpam-3667	249	28	(	(	PUNCT
ejpam-3667	249	29	1	1	NUM
ejpam-3667	249	30	l	l	NOUN
ejpam-3667	249	31	+	+	NOUN
ejpam-3667	249	32	1	1	NUM
ejpam-3667	249	33	∫	∫	NOUN
ejpam-3667	249	34	π	π	PROPN
ejpam-3667	249	35	1	1	NUM
ejpam-3667	249	36	l+1	l+1	PART
ejpam-3667	249	37	η(s	η(	NOUN
ejpam-3667	249	38	)	)	PUNCT
ejpam-3667	249	39	s2χ(s	s2χ(s	NOUN
ejpam-3667	249	40	)	)	PUNCT
ejpam-3667	249	41	ds	ds	NOUN
ejpam-3667	249	42	)	)	PUNCT
ejpam-3667	249	43	.	.	PUNCT
ejpam-3667	250	1	(	(	PUNCT
ejpam-3667	250	2	22	22	NUM
ejpam-3667	250	3	)	)	PUNCT
ejpam-3667	250	4	6	6	NUM
ejpam-3667	250	5	.	.	PUNCT
ejpam-3667	250	6	corollaries	corollary	NOUN
ejpam-3667	250	7	corollary	corollary	ADJ
ejpam-3667	250	8	1	1	NUM
ejpam-3667	250	9	.	.	PUNCT
ejpam-3667	251	1	let	let	VERB
ejpam-3667	251	2	g	g	PROPN
ejpam-3667	251	3	∈	∈	PROPN
ejpam-3667	251	4	h(α),r	h(α),r	NOUN
ejpam-3667	251	5	;	;	PUNCT
ejpam-3667	251	6	r	r	NOUN
ejpam-3667	251	7	≥	≥	NUM
ejpam-3667	251	8	1	1	NUM
ejpam-3667	251	9	and	and	CCONJ
ejpam-3667	251	10	0	0	NUM
ejpam-3667	251	11	≤	≤	NUM
ejpam-3667	251	12	β	β	X
ejpam-3667	251	13	<	<	X
ejpam-3667	251	14	α	α	PROPN
ejpam-3667	251	15	≤	≤	NUM
ejpam-3667	251	16	1	1	NUM
ejpam-3667	251	17	,	,	PUNCT
ejpam-3667	251	18	then	then	ADV
ejpam-3667	251	19	‖tt∆h	‖tt∆h	PROPN
ejpam-3667	251	20	l	l	NOUN
ejpam-3667	251	21	−	−	NOUN
ejpam-3667	251	22	g‖(β),r	g‖(β),r	NOUN
ejpam-3667	251	23	=	=	NOUN
ejpam-3667	251	24	{	{	PUNCT
ejpam-3667	251	25	o((l	o((l	X
ejpam-3667	251	26	+	+	ADJ
ejpam-3667	251	27	1)β−α	1)β−α	NOUN
ejpam-3667	251	28	)	)	PUNCT
ejpam-3667	251	29	if	if	SCONJ
ejpam-3667	251	30	0	0	NUM
ejpam-3667	251	31	≤	≤	NUM
ejpam-3667	251	32	β	β	X
ejpam-3667	251	33	<	<	X
ejpam-3667	251	34	α	α	X
ejpam-3667	251	35	<	<	X
ejpam-3667	251	36	1	1	NUM
ejpam-3667	251	37	o	o	NOUN
ejpam-3667	251	38	(	(	PUNCT
ejpam-3667	251	39	log	log	NOUN
ejpam-3667	251	40	π(l+1	π(l+1	PRON
ejpam-3667	251	41	)	)	PUNCT
ejpam-3667	251	42	l+1	l+1	CCONJ
ejpam-3667	251	43	)	)	PUNCT
ejpam-3667	251	44	if	if	SCONJ
ejpam-3667	251	45	β	β	X
ejpam-3667	251	46	=	=	SYM
ejpam-3667	251	47	0	0	PROPN
ejpam-3667	251	48	,	,	PUNCT
ejpam-3667	251	49	α	α	NOUN
ejpam-3667	251	50	=	=	SYM
ejpam-3667	251	51	1	1	X
ejpam-3667	251	52	.	.	PUNCT
ejpam-3667	252	1	proof	proof	NOUN
ejpam-3667	252	2	.	.	PUNCT
ejpam-3667	253	1	the	the	DET
ejpam-3667	253	2	proof	proof	NOUN
ejpam-3667	253	3	is	be	AUX
ejpam-3667	253	4	obtained	obtain	VERB
ejpam-3667	253	5	by	by	ADP
ejpam-3667	253	6	putting	put	VERB
ejpam-3667	253	7	η(s	η(	NOUN
ejpam-3667	253	8	)	)	PUNCT
ejpam-3667	254	1	=	=	SYM
ejpam-3667	254	2	sα	sα	PROPN
ejpam-3667	254	3	,	,	PUNCT
ejpam-3667	254	4	χ(s	χ(s	NOUN
ejpam-3667	254	5	)	)	PUNCT
ejpam-3667	254	6	=	=	SYM
ejpam-3667	254	7	sβ	sβ	PROPN
ejpam-3667	254	8	,	,	PUNCT
ejpam-3667	254	9	0	0	NUM
ejpam-3667	254	10	≤	≤	NUM
ejpam-3667	254	11	β	β	X
ejpam-3667	254	12	<	<	X
ejpam-3667	254	13	α	α	PROPN
ejpam-3667	254	14	≤	≤	ADV
ejpam-3667	254	15	1	1	NUM
ejpam-3667	254	16	in	in	ADP
ejpam-3667	254	17	theorem	theorem	ADJ
ejpam-3667	254	18	1	1	NUM
ejpam-3667	254	19	.	.	PUNCT
ejpam-3667	254	20	corollary	corollary	ADJ
ejpam-3667	254	21	2	2	NUM
ejpam-3667	254	22	.	.	PUNCT
ejpam-3667	254	23	following	follow	VERB
ejpam-3667	254	24	the	the	DET
ejpam-3667	254	25	remark	remark	NOUN
ejpam-3667	254	26	1(i	1(i	NUM
ejpam-3667	254	27	)	)	PUNCT
ejpam-3667	254	28	,	,	PUNCT
ejpam-3667	254	29	we	we	PRON
ejpam-3667	254	30	obtain	obtain	VERB
ejpam-3667	254	31	‖tcα∆h	‖tcα∆h	ADJ
ejpam-3667	254	32	l	l	NOUN
ejpam-3667	254	33	−	−	NOUN
ejpam-3667	255	1	g‖(χ	g‖(χ	NOUN
ejpam-3667	255	2	)	)	PUNCT
ejpam-3667	255	3	r	r	NOUN
ejpam-3667	255	4	=	=	PUNCT
ejpam-3667	255	5	o	o	X
ejpam-3667	255	6	(	(	PUNCT
ejpam-3667	255	7	1	1	NUM
ejpam-3667	255	8	l	l	NOUN
ejpam-3667	255	9	+	+	NOUN
ejpam-3667	255	10	1	1	NUM
ejpam-3667	255	11	∫	∫	NOUN
ejpam-3667	255	12	π	π	PROPN
ejpam-3667	255	13	1	1	NUM
ejpam-3667	255	14	l+1	l+1	PART
ejpam-3667	255	15	η(s	η(	NOUN
ejpam-3667	255	16	)	)	PUNCT
ejpam-3667	255	17	s2χ(s	s2χ(s	NOUN
ejpam-3667	255	18	)	)	PUNCT
ejpam-3667	255	19	ds	ds	NOUN
ejpam-3667	255	20	)	)	PUNCT
ejpam-3667	255	21	.	.	PUNCT
ejpam-3667	256	1	corollary	corollary	ADJ
ejpam-3667	256	2	3	3	NUM
ejpam-3667	256	3	.	.	PUNCT
ejpam-3667	257	1	following	follow	VERB
ejpam-3667	257	2	the	the	DET
ejpam-3667	257	3	remark	remark	NOUN
ejpam-3667	257	4	1(ii	1(ii	NUM
ejpam-3667	257	5	)	)	PUNCT
ejpam-3667	257	6	,	,	PUNCT
ejpam-3667	257	7	we	we	PRON
ejpam-3667	257	8	obtain	obtain	VERB
ejpam-3667	257	9	‖th1	‖th1	PROPN
ejpam-3667	257	10	/	/	SYM
ejpam-3667	257	11	l+1∆h	l+1∆h	NOUN
ejpam-3667	257	12	l	l	NOUN
ejpam-3667	257	13	−	−	PROPN
ejpam-3667	257	14	g‖(χ	g‖(χ	NOUN
ejpam-3667	257	15	)	)	PUNCT
ejpam-3667	257	16	r	r	NOUN
ejpam-3667	257	17	=	=	PUNCT
ejpam-3667	257	18	o	o	X
ejpam-3667	257	19	(	(	PUNCT
ejpam-3667	257	20	1	1	NUM
ejpam-3667	257	21	l	l	NOUN
ejpam-3667	257	22	+	+	NOUN
ejpam-3667	257	23	1	1	NUM
ejpam-3667	257	24	∫	∫	NOUN
ejpam-3667	257	25	π	π	PROPN
ejpam-3667	257	26	1	1	NUM
ejpam-3667	257	27	l+1	l+1	PART
ejpam-3667	257	28	η(s	η(	NOUN
ejpam-3667	257	29	)	)	PUNCT
ejpam-3667	257	30	s2χ(s	s2χ(s	NOUN
ejpam-3667	257	31	)	)	PUNCT
ejpam-3667	257	32	ds	ds	NOUN
ejpam-3667	257	33	)	)	PUNCT
ejpam-3667	257	34	.	.	PUNCT
ejpam-3667	258	1	s.	s.	PROPN
ejpam-3667	258	2	rani	rani	PROPN
ejpam-3667	258	3	,	,	PUNCT
ejpam-3667	258	4	h.	h.	PROPN
ejpam-3667	258	5	k.	k.	PROPN
ejpam-3667	258	6	nigam	nigam	PROPN
ejpam-3667	258	7	/	/	SYM
ejpam-3667	258	8	eur	eur	PROPN
ejpam-3667	258	9	.	.	PUNCT
ejpam-3667	259	1	j.	j.	PROPN
ejpam-3667	259	2	pure	pure	PROPN
ejpam-3667	259	3	appl	appl	PROPN
ejpam-3667	259	4	.	.	PROPN
ejpam-3667	259	5	math	math	PROPN
ejpam-3667	259	6	,	,	PUNCT
ejpam-3667	259	7	13	13	NUM
ejpam-3667	259	8	(	(	PUNCT
ejpam-3667	259	9	2	2	NUM
ejpam-3667	259	10	)	)	PUNCT
ejpam-3667	259	11	(	(	PUNCT
ejpam-3667	259	12	2020	2020	NUM
ejpam-3667	259	13	)	)	PUNCT
ejpam-3667	259	14	,	,	PUNCT
ejpam-3667	259	15	351	351	NUM
ejpam-3667	259	16	-	-	SYM
ejpam-3667	259	17	368	368	NUM
ejpam-3667	259	18	364	364	NUM
ejpam-3667	259	19	corollary	corollary	ADJ
ejpam-3667	259	20	4	4	NUM
ejpam-3667	259	21	.	.	PUNCT
ejpam-3667	260	1	following	follow	VERB
ejpam-3667	260	2	the	the	DET
ejpam-3667	260	3	remark	remark	NOUN
ejpam-3667	260	4	1(iii	1(iii	NUM
ejpam-3667	260	5	)	)	PUNCT
ejpam-3667	260	6	,	,	PUNCT
ejpam-3667	260	7	we	we	PRON
ejpam-3667	260	8	obtain	obtain	VERB
ejpam-3667	260	9	‖tnp	‖tnp	NUM
ejpam-3667	260	10	,	,	PUNCT
ejpam-3667	260	11	q∆h	q∆h	NOUN
ejpam-3667	260	12	l	l	NOUN
ejpam-3667	260	13	−	−	NOUN
ejpam-3667	260	14	g‖(χ	g‖(χ	NOUN
ejpam-3667	260	15	)	)	PUNCT
ejpam-3667	260	16	r	r	NOUN
ejpam-3667	260	17	=	=	PUNCT
ejpam-3667	260	18	o	o	X
ejpam-3667	260	19	(	(	PUNCT
ejpam-3667	260	20	1	1	NUM
ejpam-3667	260	21	l	l	NOUN
ejpam-3667	260	22	+	+	NOUN
ejpam-3667	260	23	1	1	NUM
ejpam-3667	260	24	∫	∫	NOUN
ejpam-3667	260	25	π	π	PROPN
ejpam-3667	260	26	1	1	NUM
ejpam-3667	260	27	l+1	l+1	PART
ejpam-3667	260	28	η(s	η(	NOUN
ejpam-3667	260	29	)	)	PUNCT
ejpam-3667	260	30	s2χ(s	s2χ(s	NOUN
ejpam-3667	260	31	)	)	PUNCT
ejpam-3667	260	32	ds	ds	NOUN
ejpam-3667	260	33	)	)	PUNCT
ejpam-3667	260	34	.	.	PUNCT
ejpam-3667	261	1	corollary	corollary	ADJ
ejpam-3667	261	2	5	5	NUM
ejpam-3667	261	3	.	.	PUNCT
ejpam-3667	262	1	following	follow	VERB
ejpam-3667	262	2	the	the	DET
ejpam-3667	262	3	remark	remark	NOUN
ejpam-3667	262	4	1(iv	1(iv	NUM
ejpam-3667	262	5	)	)	PUNCT
ejpam-3667	262	6	,	,	PUNCT
ejpam-3667	262	7	we	we	PRON
ejpam-3667	262	8	obtain	obtain	VERB
ejpam-3667	262	9	‖tnp∆h	‖tnp∆h	ADJ
ejpam-3667	262	10	l	l	NOUN
ejpam-3667	263	1	−	−	NOUN
ejpam-3667	264	1	g‖(χ	g‖(χ	NOUN
ejpam-3667	264	2	)	)	PUNCT
ejpam-3667	264	3	r	r	NOUN
ejpam-3667	264	4	=	=	PUNCT
ejpam-3667	264	5	o	o	X
ejpam-3667	264	6	(	(	PUNCT
ejpam-3667	264	7	1	1	NUM
ejpam-3667	264	8	l	l	NOUN
ejpam-3667	264	9	+	+	NOUN
ejpam-3667	264	10	1	1	NUM
ejpam-3667	264	11	∫	∫	NOUN
ejpam-3667	264	12	π	π	PROPN
ejpam-3667	264	13	1	1	NUM
ejpam-3667	264	14	l+1	l+1	PART
ejpam-3667	264	15	η(s	η(	NOUN
ejpam-3667	264	16	)	)	PUNCT
ejpam-3667	264	17	s2χ(s	s2χ(s	NOUN
ejpam-3667	264	18	)	)	PUNCT
ejpam-3667	264	19	ds	ds	NOUN
ejpam-3667	264	20	)	)	PUNCT
ejpam-3667	264	21	.	.	PUNCT
ejpam-3667	265	1	corollary	corollary	ADJ
ejpam-3667	265	2	6	6	NUM
ejpam-3667	265	3	.	.	PUNCT
ejpam-3667	266	1	following	follow	VERB
ejpam-3667	266	2	the	the	DET
ejpam-3667	266	3	remark	remark	NOUN
ejpam-3667	266	4	1(v	1(v	NUM
ejpam-3667	266	5	)	)	PUNCT
ejpam-3667	266	6	,	,	PUNCT
ejpam-3667	266	7	we	we	PRON
ejpam-3667	266	8	obtain	obtain	VERB
ejpam-3667	266	9	‖tñp∆h	‖tñp∆h	ADJ
ejpam-3667	266	10	l	l	NOUN
ejpam-3667	266	11	−	−	NOUN
ejpam-3667	267	1	g‖(χ	g‖(χ	NOUN
ejpam-3667	267	2	)	)	PUNCT
ejpam-3667	267	3	r	r	NOUN
ejpam-3667	267	4	=	=	PUNCT
ejpam-3667	267	5	o	o	X
ejpam-3667	267	6	(	(	PUNCT
ejpam-3667	267	7	1	1	NUM
ejpam-3667	267	8	l	l	NOUN
ejpam-3667	267	9	+	+	NOUN
ejpam-3667	267	10	1	1	NUM
ejpam-3667	267	11	∫	∫	NOUN
ejpam-3667	267	12	π	π	PROPN
ejpam-3667	267	13	1	1	NUM
ejpam-3667	267	14	l+1	l+1	PART
ejpam-3667	267	15	η(s	η(	NOUN
ejpam-3667	267	16	)	)	PUNCT
ejpam-3667	267	17	s2χ(s	s2χ(s	NOUN
ejpam-3667	267	18	)	)	PUNCT
ejpam-3667	267	19	ds	ds	NOUN
ejpam-3667	267	20	)	)	PUNCT
ejpam-3667	267	21	.	.	PUNCT
ejpam-3667	268	1	corollary	corollary	ADJ
ejpam-3667	268	2	7	7	NUM
ejpam-3667	268	3	.	.	PUNCT
ejpam-3667	269	1	following	follow	VERB
ejpam-3667	269	2	the	the	DET
ejpam-3667	269	3	remark	remark	NOUN
ejpam-3667	269	4	1(vi	1(vi	NUM
ejpam-3667	269	5	)	)	PUNCT
ejpam-3667	269	6	,	,	PUNCT
ejpam-3667	269	7	we	we	PRON
ejpam-3667	269	8	obtain	obtain	VERB
ejpam-3667	269	9	‖teq∆h	‖teq∆h	ADJ
ejpam-3667	269	10	l	l	NOUN
ejpam-3667	270	1	−	−	PROPN
ejpam-3667	270	2	g‖(χ	g‖(χ	NOUN
ejpam-3667	270	3	)	)	PUNCT
ejpam-3667	270	4	r	r	NOUN
ejpam-3667	270	5	=	=	PUNCT
ejpam-3667	270	6	o	o	X
ejpam-3667	270	7	(	(	PUNCT
ejpam-3667	270	8	1	1	NUM
ejpam-3667	270	9	l	l	NOUN
ejpam-3667	270	10	+	+	NOUN
ejpam-3667	270	11	1	1	NUM
ejpam-3667	270	12	∫	∫	NOUN
ejpam-3667	270	13	π	π	PROPN
ejpam-3667	270	14	1	1	NUM
ejpam-3667	270	15	l+1	l+1	PART
ejpam-3667	270	16	η(s	η(	NOUN
ejpam-3667	270	17	)	)	PUNCT
ejpam-3667	270	18	s2χ(s	s2χ(s	NOUN
ejpam-3667	270	19	)	)	PUNCT
ejpam-3667	270	20	ds	ds	NOUN
ejpam-3667	270	21	)	)	PUNCT
ejpam-3667	270	22	.	.	PUNCT
ejpam-3667	271	1	corollary	corollary	ADJ
ejpam-3667	271	2	8	8	NUM
ejpam-3667	271	3	.	.	PUNCT
ejpam-3667	272	1	following	follow	VERB
ejpam-3667	272	2	the	the	DET
ejpam-3667	272	3	remark	remark	NOUN
ejpam-3667	272	4	1(vii	1(vii	NUM
ejpam-3667	272	5	)	)	PUNCT
ejpam-3667	272	6	,	,	PUNCT
ejpam-3667	272	7	we	we	PRON
ejpam-3667	272	8	obtain	obtain	VERB
ejpam-3667	272	9	‖ttcαl	‖ttcαl	ADJ
ejpam-3667	272	10	−	−	PROPN
ejpam-3667	272	11	g‖(χ	g‖(χ	NOUN
ejpam-3667	272	12	)	)	PUNCT
ejpam-3667	272	13	r	r	NOUN
ejpam-3667	272	14	=	=	PUNCT
ejpam-3667	272	15	o	o	X
ejpam-3667	272	16	(	(	PUNCT
ejpam-3667	272	17	1	1	NUM
ejpam-3667	272	18	l	l	NOUN
ejpam-3667	272	19	+	+	NOUN
ejpam-3667	272	20	1	1	NUM
ejpam-3667	272	21	∫	∫	NOUN
ejpam-3667	272	22	π	π	PROPN
ejpam-3667	272	23	1	1	NUM
ejpam-3667	272	24	l+1	l+1	PART
ejpam-3667	272	25	η(s	η(	NOUN
ejpam-3667	272	26	)	)	PUNCT
ejpam-3667	272	27	s2χ(s	s2χ(s	NOUN
ejpam-3667	272	28	)	)	PUNCT
ejpam-3667	272	29	ds	ds	NOUN
ejpam-3667	272	30	)	)	PUNCT
ejpam-3667	272	31	.	.	PUNCT
ejpam-3667	273	1	corollary	corollary	ADJ
ejpam-3667	273	2	9	9	NUM
ejpam-3667	273	3	.	.	PUNCT
ejpam-3667	274	1	following	follow	VERB
ejpam-3667	274	2	the	the	DET
ejpam-3667	274	3	remark	remark	NOUN
ejpam-3667	274	4	1(viii	1(viii	NUM
ejpam-3667	274	5	)	)	PUNCT
ejpam-3667	274	6	,	,	PUNCT
ejpam-3667	274	7	we	we	PRON
ejpam-3667	274	8	obtain	obtain	VERB
ejpam-3667	274	9	‖tteql	‖tteql	PUNCT
ejpam-3667	274	10	−	−	PROPN
ejpam-3667	274	11	g‖(χ	g‖(χ	NOUN
ejpam-3667	274	12	)	)	PUNCT
ejpam-3667	274	13	r	r	NOUN
ejpam-3667	274	14	=	=	PUNCT
ejpam-3667	274	15	o	o	X
ejpam-3667	274	16	(	(	PUNCT
ejpam-3667	274	17	1	1	NUM
ejpam-3667	274	18	l	l	NOUN
ejpam-3667	274	19	+	+	NOUN
ejpam-3667	274	20	1	1	NUM
ejpam-3667	274	21	∫	∫	NOUN
ejpam-3667	274	22	π	π	PROPN
ejpam-3667	274	23	1	1	NUM
ejpam-3667	274	24	l+1	l+1	PART
ejpam-3667	274	25	η(s	η(	NOUN
ejpam-3667	274	26	)	)	PUNCT
ejpam-3667	274	27	s2χ(s	s2χ(s	NOUN
ejpam-3667	274	28	)	)	PUNCT
ejpam-3667	274	29	ds	ds	NOUN
ejpam-3667	274	30	)	)	PUNCT
ejpam-3667	274	31	.	.	PUNCT
ejpam-3667	275	1	remark	remark	NOUN
ejpam-3667	275	2	5	5	NUM
ejpam-3667	275	3	.	.	PUNCT
ejpam-3667	276	1	(	(	PUNCT
ejpam-3667	276	2	i	i	NOUN
ejpam-3667	276	3	)	)	PUNCT
ejpam-3667	276	4	corollary	corollary	NOUN
ejpam-3667	276	5	2	2	NUM
ejpam-3667	276	6	can	can	AUX
ejpam-3667	276	7	be	be	AUX
ejpam-3667	276	8	further	far	ADV
ejpam-3667	276	9	reduced	reduce	VERB
ejpam-3667	276	10	for	for	ADP
ejpam-3667	276	11	cαeq	cαeq	NOUN
ejpam-3667	276	12	and	and	CCONJ
ejpam-3667	276	13	c1∆h	c1∆h	NOUN
ejpam-3667	276	14	means	mean	VERB
ejpam-3667	276	15	in	in	ADP
ejpam-3667	276	16	view	view	NOUN
ejpam-3667	276	17	of	of	ADP
ejpam-3667	276	18	remark	remark	NOUN
ejpam-3667	276	19	2	2	NUM
ejpam-3667	276	20	(	(	PUNCT
ejpam-3667	276	21	i)(b	i)(b	NUM
ejpam-3667	276	22	)	)	PUNCT
ejpam-3667	276	23	and	and	CCONJ
ejpam-3667	276	24	(	(	PUNCT
ejpam-3667	276	25	c	c	NOUN
ejpam-3667	276	26	)	)	PUNCT
ejpam-3667	276	27	respectively	respectively	ADV
ejpam-3667	276	28	.	.	PUNCT
ejpam-3667	277	1	(	(	PUNCT
ejpam-3667	277	2	ii	ii	NOUN
ejpam-3667	277	3	)	)	PUNCT
ejpam-3667	277	4	corollary	corollary	NOUN
ejpam-3667	277	5	3	3	NUM
ejpam-3667	277	6	can	can	AUX
ejpam-3667	277	7	be	be	AUX
ejpam-3667	277	8	further	far	ADV
ejpam-3667	277	9	reduced	reduce	VERB
ejpam-3667	277	10	for	for	ADP
ejpam-3667	277	11	h1	h1	PROPN
ejpam-3667	277	12	/	/	SYM
ejpam-3667	277	13	l+1cα	l+1cα	PROPN
ejpam-3667	277	14	and	and	CCONJ
ejpam-3667	277	15	h1	h1	PROPN
ejpam-3667	277	16	/	/	SYM
ejpam-3667	277	17	l+1eq	l+1eq	PROPN
ejpam-3667	277	18	means	mean	VERB
ejpam-3667	277	19	in	in	ADP
ejpam-3667	277	20	view	view	NOUN
ejpam-3667	277	21	of	of	ADP
ejpam-3667	277	22	remark	remark	NOUN
ejpam-3667	277	23	2	2	NUM
ejpam-3667	277	24	(	(	PUNCT
ejpam-3667	277	25	ii)(a	ii)(a	PROPN
ejpam-3667	277	26	)	)	PUNCT
ejpam-3667	277	27	and	and	CCONJ
ejpam-3667	277	28	(	(	PUNCT
ejpam-3667	277	29	b	b	NOUN
ejpam-3667	277	30	)	)	PUNCT
ejpam-3667	277	31	respectively	respectively	ADV
ejpam-3667	277	32	.	.	PUNCT
ejpam-3667	278	1	(	(	PUNCT
ejpam-3667	278	2	iii	iii	X
ejpam-3667	278	3	)	)	PUNCT
ejpam-3667	278	4	corollary	corollary	NOUN
ejpam-3667	278	5	4	4	NUM
ejpam-3667	278	6	can	can	AUX
ejpam-3667	278	7	be	be	AUX
ejpam-3667	278	8	further	far	ADV
ejpam-3667	278	9	reduced	reduce	VERB
ejpam-3667	278	10	for	for	ADP
ejpam-3667	278	11	np	np	INTJ
ejpam-3667	278	12	,	,	PUNCT
ejpam-3667	278	13	qcα	qcα	NOUN
ejpam-3667	278	14	and	and	CCONJ
ejpam-3667	278	15	np	np	INTJ
ejpam-3667	278	16	,	,	PUNCT
ejpam-3667	278	17	qeq	qeq	NOUN
ejpam-3667	278	18	in	in	ADP
ejpam-3667	278	19	view	view	NOUN
ejpam-3667	278	20	of	of	ADP
ejpam-3667	278	21	remark	remark	NOUN
ejpam-3667	278	22	2	2	NUM
ejpam-3667	278	23	(	(	PUNCT
ejpam-3667	278	24	iii)(a	iii)(a	PROPN
ejpam-3667	278	25	)	)	PUNCT
ejpam-3667	278	26	and	and	CCONJ
ejpam-3667	278	27	(	(	PUNCT
ejpam-3667	278	28	b	b	NOUN
ejpam-3667	278	29	)	)	PUNCT
ejpam-3667	278	30	respectively	respectively	ADV
ejpam-3667	278	31	.	.	PUNCT
ejpam-3667	279	1	(	(	PUNCT
ejpam-3667	279	2	iv	iv	X
ejpam-3667	279	3	)	)	PUNCT
ejpam-3667	279	4	corollary	corollary	NOUN
ejpam-3667	279	5	5	5	NUM
ejpam-3667	279	6	can	can	AUX
ejpam-3667	279	7	be	be	AUX
ejpam-3667	279	8	further	far	ADV
ejpam-3667	279	9	reduced	reduce	VERB
ejpam-3667	279	10	for	for	ADP
ejpam-3667	279	11	npcα	npcα	ADJ
ejpam-3667	279	12	and	and	CCONJ
ejpam-3667	279	13	npeq	npeq	NOUN
ejpam-3667	279	14	means	mean	NOUN
ejpam-3667	279	15	in	in	ADP
ejpam-3667	279	16	view	view	NOUN
ejpam-3667	279	17	of	of	ADP
ejpam-3667	279	18	remark	remark	NOUN
ejpam-3667	279	19	2	2	NUM
ejpam-3667	279	20	(	(	PUNCT
ejpam-3667	279	21	iv)(a	iv)(a	PROPN
ejpam-3667	279	22	)	)	PUNCT
ejpam-3667	279	23	and	and	CCONJ
ejpam-3667	279	24	(	(	PUNCT
ejpam-3667	279	25	b	b	NOUN
ejpam-3667	279	26	)	)	PUNCT
ejpam-3667	279	27	respectively	respectively	ADV
ejpam-3667	279	28	.	.	PUNCT
ejpam-3667	280	1	(	(	PUNCT
ejpam-3667	280	2	v	v	NOUN
ejpam-3667	280	3	)	)	PUNCT
ejpam-3667	280	4	corollary	corollary	NOUN
ejpam-3667	280	5	6	6	NUM
ejpam-3667	280	6	can	can	AUX
ejpam-3667	280	7	be	be	AUX
ejpam-3667	280	8	further	far	ADV
ejpam-3667	280	9	reduced	reduce	VERB
ejpam-3667	280	10	for	for	ADP
ejpam-3667	280	11	ñpcα	ñpcα	NUM
ejpam-3667	280	12	and	and	CCONJ
ejpam-3667	280	13	ñpeq	ñpeq	NOUN
ejpam-3667	280	14	means	mean	VERB
ejpam-3667	280	15	in	in	ADP
ejpam-3667	280	16	view	view	NOUN
ejpam-3667	280	17	of	of	ADP
ejpam-3667	280	18	remark	remark	NOUN
ejpam-3667	280	19	2	2	NUM
ejpam-3667	280	20	(	(	PUNCT
ejpam-3667	280	21	v)(a	v)(a	PROPN
ejpam-3667	280	22	)	)	PUNCT
ejpam-3667	280	23	and	and	CCONJ
ejpam-3667	280	24	(	(	PUNCT
ejpam-3667	280	25	b	b	NOUN
ejpam-3667	280	26	)	)	PUNCT
ejpam-3667	280	27	respectively	respectively	ADV
ejpam-3667	280	28	.	.	PUNCT
ejpam-3667	281	1	s.	s.	PROPN
ejpam-3667	281	2	rani	rani	PROPN
ejpam-3667	281	3	,	,	PUNCT
ejpam-3667	281	4	h.	h.	PROPN
ejpam-3667	281	5	k.	k.	PROPN
ejpam-3667	281	6	nigam	nigam	PROPN
ejpam-3667	281	7	/	/	SYM
ejpam-3667	281	8	eur	eur	PROPN
ejpam-3667	281	9	.	.	PUNCT
ejpam-3667	282	1	j.	j.	PROPN
ejpam-3667	282	2	pure	pure	PROPN
ejpam-3667	282	3	appl	appl	PROPN
ejpam-3667	282	4	.	.	PROPN
ejpam-3667	282	5	math	math	PROPN
ejpam-3667	282	6	,	,	PUNCT
ejpam-3667	282	7	13	13	NUM
ejpam-3667	282	8	(	(	PUNCT
ejpam-3667	282	9	2	2	NUM
ejpam-3667	282	10	)	)	PUNCT
ejpam-3667	282	11	(	(	PUNCT
ejpam-3667	282	12	2020	2020	NUM
ejpam-3667	282	13	)	)	PUNCT
ejpam-3667	282	14	,	,	PUNCT
ejpam-3667	282	15	351	351	NUM
ejpam-3667	282	16	-	-	SYM
ejpam-3667	282	17	368	368	NUM
ejpam-3667	282	18	365	365	NUM
ejpam-3667	282	19	(	(	PUNCT
ejpam-3667	282	20	vi	vi	NOUN
ejpam-3667	282	21	)	)	PUNCT
ejpam-3667	282	22	corollary	corollary	NOUN
ejpam-3667	282	23	7	7	NUM
ejpam-3667	282	24	can	can	AUX
ejpam-3667	282	25	be	be	AUX
ejpam-3667	282	26	further	far	ADV
ejpam-3667	282	27	reduced	reduce	VERB
ejpam-3667	282	28	for	for	ADP
ejpam-3667	282	29	eqcα	eqcα	NOUN
ejpam-3667	282	30	means	mean	NOUN
ejpam-3667	282	31	in	in	ADP
ejpam-3667	282	32	view	view	NOUN
ejpam-3667	282	33	of	of	ADP
ejpam-3667	282	34	remark	remark	NOUN
ejpam-3667	282	35	2	2	NUM
ejpam-3667	282	36	(	(	PUNCT
ejpam-3667	282	37	vi)(a	vi)(a	PROPN
ejpam-3667	282	38	)	)	PUNCT
ejpam-3667	282	39	.	.	PUNCT
ejpam-3667	283	1	(	(	PUNCT
ejpam-3667	283	2	vii	vii	PROPN
ejpam-3667	283	3	)	)	PUNCT
ejpam-3667	283	4	corollaries	corollary	NOUN
ejpam-3667	283	5	8	8	NUM
ejpam-3667	283	6	can	can	AUX
ejpam-3667	283	7	be	be	AUX
ejpam-3667	283	8	further	far	ADV
ejpam-3667	283	9	reduced	reduce	VERB
ejpam-3667	283	10	for	for	ADP
ejpam-3667	283	11	tc1	tc1	PROPN
ejpam-3667	283	12	means	mean	NOUN
ejpam-3667	283	13	in	in	ADP
ejpam-3667	283	14	view	view	NOUN
ejpam-3667	283	15	of	of	ADP
ejpam-3667	283	16	remark	remark	NOUN
ejpam-3667	283	17	2	2	NUM
ejpam-3667	283	18	(	(	PUNCT
ejpam-3667	283	19	vii)(a	vii)(a	ADV
ejpam-3667	283	20	)	)	PUNCT
ejpam-3667	283	21	.	.	PUNCT
ejpam-3667	284	1	(	(	PUNCT
ejpam-3667	284	2	viii	viii	NOUN
ejpam-3667	284	3	)	)	PUNCT
ejpam-3667	284	4	corollaries	corollary	NOUN
ejpam-3667	284	5	9	9	NUM
ejpam-3667	284	6	can	can	AUX
ejpam-3667	284	7	be	be	AUX
ejpam-3667	284	8	further	far	ADV
ejpam-3667	284	9	reduced	reduce	VERB
ejpam-3667	284	10	for	for	SCONJ
ejpam-3667	284	11	te1	te1	PROPN
ejpam-3667	284	12	means	mean	NOUN
ejpam-3667	284	13	in	in	ADP
ejpam-3667	284	14	view	view	NOUN
ejpam-3667	284	15	of	of	ADP
ejpam-3667	284	16	remark	remark	NOUN
ejpam-3667	284	17	2	2	NUM
ejpam-3667	284	18	(	(	PUNCT
ejpam-3667	284	19	viii)(a	viii)(a	NOUN
ejpam-3667	284	20	)	)	PUNCT
ejpam-3667	284	21	.	.	PUNCT
ejpam-3667	285	1	remark	remark	PROPN
ejpam-3667	285	2	6	6	NUM
ejpam-3667	285	3	.	.	PUNCT
ejpam-3667	286	1	(	(	PUNCT
ejpam-3667	286	2	i	i	NOUN
ejpam-3667	286	3	)	)	PUNCT
ejpam-3667	286	4	in	in	ADP
ejpam-3667	286	5	our	our	PRON
ejpam-3667	286	6	theorem	theorem	NOUN
ejpam-3667	286	7	1	1	NUM
ejpam-3667	286	8	,	,	PUNCT
ejpam-3667	286	9	if	if	SCONJ
ejpam-3667	286	10	r	r	NOUN
ejpam-3667	286	11	→∞	→∞	X
ejpam-3667	286	12	in	in	ADP
ejpam-3667	286	13	h	h	PROPN
ejpam-3667	286	14	(	(	PUNCT
ejpam-3667	286	15	η	η	NOUN
ejpam-3667	286	16	)	)	PUNCT
ejpam-3667	286	17	r	r	NOUN
ejpam-3667	286	18	class	class	NOUN
ejpam-3667	286	19	,	,	PUNCT
ejpam-3667	286	20	then	then	ADV
ejpam-3667	286	21	this	this	PRON
ejpam-3667	286	22	turns	turn	VERB
ejpam-3667	286	23	down	down	ADP
ejpam-3667	286	24	to	to	ADP
ejpam-3667	286	25	h(η	h(η	NOUN
ejpam-3667	286	26	)	)	PUNCT
ejpam-3667	286	27	class	class	NOUN
ejpam-3667	286	28	.	.	PUNCT
ejpam-3667	287	1	also	also	ADV
ejpam-3667	287	2	putting	put	VERB
ejpam-3667	287	3	η(s	η(	NOUN
ejpam-3667	287	4	)	)	PUNCT
ejpam-3667	288	1	=	=	VERB
ejpam-3667	288	2	sα	sα	ADJ
ejpam-3667	288	3	and	and	CCONJ
ejpam-3667	288	4	χ(s	χ(s	VERB
ejpam-3667	288	5	)	)	PUNCT
ejpam-3667	289	1	=	=	SYM
ejpam-3667	289	2	sβ	sβ	PROPN
ejpam-3667	289	3	in	in	ADP
ejpam-3667	289	4	our	our	PRON
ejpam-3667	289	5	theorem	theorem	ADJ
ejpam-3667	289	6	1	1	NUM
ejpam-3667	289	7	,	,	PUNCT
ejpam-3667	289	8	h(η	h(η	NOUN
ejpam-3667	289	9	)	)	PUNCT
ejpam-3667	289	10	class	class	NOUN
ejpam-3667	289	11	then	then	ADV
ejpam-3667	289	12	this	this	PRON
ejpam-3667	289	13	turns	turn	VERB
ejpam-3667	289	14	down	down	ADP
ejpam-3667	289	15	to	to	ADP
ejpam-3667	289	16	hα	hα	ADP
ejpam-3667	289	17	class	class	NOUN
ejpam-3667	289	18	.	.	PUNCT
ejpam-3667	290	1	then	then	ADV
ejpam-3667	290	2	for	for	ADP
ejpam-3667	290	3	β	β	X
ejpam-3667	290	4	=	=	SYM
ejpam-3667	290	5	0	0	NUM
ejpam-3667	290	6	in	in	ADP
ejpam-3667	290	7	hα	hα	ADP
ejpam-3667	290	8	class	class	NOUN
ejpam-3667	290	9	,	,	PUNCT
ejpam-3667	290	10	this	this	PRON
ejpam-3667	290	11	turns	turn	VERB
ejpam-3667	290	12	down	down	ADP
ejpam-3667	290	13	to	to	ADP
ejpam-3667	290	14	lipα	lipα	PROPN
ejpam-3667	290	15	class	class	NOUN
ejpam-3667	290	16	.	.	PUNCT
ejpam-3667	291	1	(	(	PUNCT
ejpam-3667	291	2	ii	ii	NOUN
ejpam-3667	291	3	)	)	PUNCT
ejpam-3667	291	4	in	in	ADP
ejpam-3667	291	5	our	our	PRON
ejpam-3667	291	6	theorem	theorem	NOUN
ejpam-3667	291	7	1	1	NUM
ejpam-3667	291	8	,	,	PUNCT
ejpam-3667	291	9	by	by	ADP
ejpam-3667	291	10	putting	put	VERB
ejpam-3667	291	11	η(s	η(	NOUN
ejpam-3667	291	12	)	)	PUNCT
ejpam-3667	291	13	=	=	SYM
ejpam-3667	291	14	sα	sα	PROPN
ejpam-3667	291	15	,	,	PUNCT
ejpam-3667	291	16	χ(s	χ(s	NOUN
ejpam-3667	291	17	)	)	PUNCT
ejpam-3667	291	18	=	=	SYM
ejpam-3667	291	19	sβ	sβ	PROPN
ejpam-3667	291	20	in	in	ADP
ejpam-3667	291	21	h	h	PROPN
ejpam-3667	291	22	(	(	PUNCT
ejpam-3667	291	23	η	η	NOUN
ejpam-3667	291	24	)	)	PUNCT
ejpam-3667	291	25	r	r	NOUN
ejpam-3667	291	26	class	class	NOUN
ejpam-3667	291	27	,	,	PUNCT
ejpam-3667	291	28	h	h	NOUN
ejpam-3667	291	29	(	(	PUNCT
ejpam-3667	291	30	η	η	NOUN
ejpam-3667	291	31	)	)	PUNCT
ejpam-3667	291	32	r	r	NOUN
ejpam-3667	291	33	class	class	NOUN
ejpam-3667	291	34	then	then	ADV
ejpam-3667	291	35	this	this	PRON
ejpam-3667	291	36	turns	turn	VERB
ejpam-3667	291	37	down	down	ADP
ejpam-3667	291	38	to	to	ADP
ejpam-3667	291	39	hα	hα	ADP
ejpam-3667	291	40	,	,	PUNCT
ejpam-3667	291	41	r	r	NOUN
ejpam-3667	291	42	class	class	NOUN
ejpam-3667	291	43	.	.	PUNCT
ejpam-3667	292	1	then	then	ADV
ejpam-3667	292	2	for	for	ADP
ejpam-3667	292	3	β	β	X
ejpam-3667	292	4	=	=	SYM
ejpam-3667	292	5	0	0	NUM
ejpam-3667	292	6	in	in	ADP
ejpam-3667	292	7	hα	hα	ADP
ejpam-3667	292	8	,	,	PUNCT
ejpam-3667	292	9	r	r	NOUN
ejpam-3667	292	10	class	class	NOUN
ejpam-3667	292	11	,	,	PUNCT
ejpam-3667	292	12	this	this	PRON
ejpam-3667	292	13	turns	turn	VERB
ejpam-3667	292	14	down	down	ADP
ejpam-3667	292	15	to	to	ADP
ejpam-3667	292	16	lip(α	lip(α	PROPN
ejpam-3667	292	17	,	,	PUNCT
ejpam-3667	292	18	r	r	NOUN
ejpam-3667	292	19	)	)	PUNCT
ejpam-3667	292	20	class	class	NOUN
ejpam-3667	292	21	.	.	PUNCT
ejpam-3667	293	1	remark	remark	PROPN
ejpam-3667	293	2	7	7	NUM
ejpam-3667	293	3	.	.	PUNCT
ejpam-3667	294	1	(	(	PUNCT
ejpam-3667	294	2	i	i	NOUN
ejpam-3667	294	3	)	)	PUNCT
ejpam-3667	294	4	if	if	SCONJ
ejpam-3667	294	5	ζ(s	ζ(s	X
ejpam-3667	294	6	)	)	PUNCT
ejpam-3667	294	7	=	=	SYM
ejpam-3667	294	8	sα	sα	ADJ
ejpam-3667	294	9	and	and	CCONJ
ejpam-3667	294	10	r	r	NOUN
ejpam-3667	294	11	→∞	→∞	PROPN
ejpam-3667	294	12	then	then	ADV
ejpam-3667	294	13	lip(ζ(s	lip(ζ(s	NOUN
ejpam-3667	294	14	)	)	PUNCT
ejpam-3667	294	15	,	,	PUNCT
ejpam-3667	294	16	r	r	NOUN
ejpam-3667	294	17	)	)	PUNCT
ejpam-3667	294	18	class	class	NOUN
ejpam-3667	294	19	turns	turn	VERB
ejpam-3667	294	20	down	down	ADP
ejpam-3667	294	21	to	to	ADP
ejpam-3667	294	22	lipα	lipα	PROPN
ejpam-3667	294	23	class	class	NOUN
ejpam-3667	294	24	.	.	PUNCT
ejpam-3667	295	1	thus	thus	ADV
ejpam-3667	295	2	,	,	PUNCT
ejpam-3667	295	3	the	the	DET
ejpam-3667	295	4	results	result	NOUN
ejpam-3667	295	5	of	of	ADP
ejpam-3667	295	6	[	[	X
ejpam-3667	295	7	12	12	NUM
ejpam-3667	295	8	]	]	PUNCT
ejpam-3667	295	9	,	,	PUNCT
ejpam-3667	295	10	[	[	X
ejpam-3667	295	11	15	15	NUM
ejpam-3667	295	12	]	]	PUNCT
ejpam-3667	295	13	,	,	PUNCT
ejpam-3667	295	14	[	[	X
ejpam-3667	295	15	16	16	NUM
ejpam-3667	295	16	]	]	PUNCT
ejpam-3667	295	17	and	and	CCONJ
ejpam-3667	295	18	[	[	X
ejpam-3667	295	19	30	30	NUM
ejpam-3667	295	20	]	]	PUNCT
ejpam-3667	295	21	reduces	reduce	VERB
ejpam-3667	295	22	to	to	ADP
ejpam-3667	295	23	lipα	lipα	PROPN
ejpam-3667	295	24	class	class	NOUN
ejpam-3667	295	25	.	.	PUNCT
ejpam-3667	296	1	(	(	PUNCT
ejpam-3667	296	2	ii	ii	NOUN
ejpam-3667	296	3	)	)	PUNCT
ejpam-3667	296	4	if	if	SCONJ
ejpam-3667	296	5	β	β	X
ejpam-3667	296	6	=	=	SYM
ejpam-3667	296	7	0	0	NUM
ejpam-3667	296	8	,	,	PUNCT
ejpam-3667	296	9	ζ(s	ζ(s	PROPN
ejpam-3667	296	10	)	)	PUNCT
ejpam-3667	297	1	=	=	SYM
ejpam-3667	297	2	sα	sα	ADJ
ejpam-3667	297	3	and	and	CCONJ
ejpam-3667	297	4	r	r	PROPN
ejpam-3667	297	5	→	→	SYM
ejpam-3667	297	6	∞	∞	PROPN
ejpam-3667	297	7	then	then	ADV
ejpam-3667	297	8	w	w	PROPN
ejpam-3667	297	9	(	(	PUNCT
ejpam-3667	297	10	lr	lr	INTJ
ejpam-3667	297	11	,	,	PUNCT
ejpam-3667	297	12	ζ(s	ζ(s	PROPN
ejpam-3667	297	13	)	)	PUNCT
ejpam-3667	297	14	)	)	PUNCT
ejpam-3667	297	15	class	class	NOUN
ejpam-3667	297	16	turns	turn	VERB
ejpam-3667	297	17	down	down	ADP
ejpam-3667	297	18	to	to	ADP
ejpam-3667	297	19	lipα	lipα	PROPN
ejpam-3667	297	20	class	class	NOUN
ejpam-3667	297	21	.	.	PUNCT
ejpam-3667	298	1	thus	thus	ADV
ejpam-3667	298	2	,	,	PUNCT
ejpam-3667	298	3	the	the	DET
ejpam-3667	298	4	results	result	NOUN
ejpam-3667	298	5	of	of	ADP
ejpam-3667	298	6	[	[	X
ejpam-3667	298	7	11	11	NUM
ejpam-3667	298	8	]	]	PUNCT
ejpam-3667	298	9	,	,	PUNCT
ejpam-3667	298	10	[	[	X
ejpam-3667	298	11	13	13	NUM
ejpam-3667	298	12	]	]	PUNCT
ejpam-3667	298	13	and	and	CCONJ
ejpam-3667	298	14	[	[	X
ejpam-3667	298	15	14	14	NUM
ejpam-3667	298	16	]	]	PUNCT
ejpam-3667	298	17	reduces	reduce	VERB
ejpam-3667	298	18	to	to	ADP
ejpam-3667	298	19	lipα	lipα	PROPN
ejpam-3667	298	20	class	class	NOUN
ejpam-3667	298	21	.	.	PUNCT
ejpam-3667	299	1	7	7	X
ejpam-3667	299	2	.	.	X
ejpam-3667	299	3	particular	particular	ADJ
ejpam-3667	299	4	cases	case	NOUN
ejpam-3667	299	5	(	(	PUNCT
ejpam-3667	299	6	i	i	NOUN
ejpam-3667	299	7	)	)	PUNCT
ejpam-3667	299	8	using	use	VERB
ejpam-3667	299	9	remark	remark	NOUN
ejpam-3667	299	10	6(i	6(i	NUM
ejpam-3667	299	11	)	)	PUNCT
ejpam-3667	299	12	and	and	CCONJ
ejpam-3667	299	13	putting	put	VERB
ejpam-3667	299	14	hl	hl	NOUN
ejpam-3667	299	15	,	,	PUNCT
ejpam-3667	299	16	j	j	PROPN
ejpam-3667	299	17	=	=	SYM
ejpam-3667	299	18	1	1	NUM
ejpam-3667	299	19	l+1	l+1	PROPN
ejpam-3667	299	20	,	,	PUNCT
ejpam-3667	299	21	0	0	NUM
ejpam-3667	299	22	≤	≤	NUM
ejpam-3667	299	23	j	j	PROPN
ejpam-3667	299	24	≤	≤	ADJ
ejpam-3667	299	25	l	l	NOUN
ejpam-3667	299	26	in	in	ADP
ejpam-3667	299	27	our	our	PRON
ejpam-3667	299	28	theorem	theorem	NOUN
ejpam-3667	299	29	1	1	NUM
ejpam-3667	299	30	,	,	PUNCT
ejpam-3667	299	31	the	the	DET
ejpam-3667	299	32	result	result	NOUN
ejpam-3667	299	33	of	of	ADP
ejpam-3667	299	34	dhakal	dhakal	PROPN
ejpam-3667	300	1	[	[	X
ejpam-3667	300	2	4	4	X
ejpam-3667	300	3	]	]	PUNCT
ejpam-3667	300	4	follows	follow	VERB
ejpam-3667	300	5	.	.	PUNCT
ejpam-3667	301	1	(	(	PUNCT
ejpam-3667	301	2	ii	ii	NOUN
ejpam-3667	301	3	)	)	PUNCT
ejpam-3667	301	4	using	use	VERB
ejpam-3667	301	5	remark	remark	NOUN
ejpam-3667	301	6	6(i	6(i	NUM
ejpam-3667	301	7	)	)	PUNCT
ejpam-3667	301	8	,	,	PUNCT
ejpam-3667	301	9	putting	put	VERB
ejpam-3667	301	10	bl	bl	PROPN
ejpam-3667	301	11	,	,	PUNCT
ejpam-3667	301	12	j	j	PROPN
ejpam-3667	302	1	=	=	PUNCT
ejpam-3667	302	2	pl−jqj	pl−jqj	ADP
ejpam-3667	302	3	rl	rl	X
ejpam-3667	302	4	,	,	PUNCT
ejpam-3667	302	5	rl	rl	PROPN
ejpam-3667	302	6	=	=	SYM
ejpam-3667	302	7	∑l	∑l	PROPN
ejpam-3667	302	8	j=0	j=0	PROPN
ejpam-3667	302	9	pjql−j	pjql−j	PROPN
ejpam-3667	302	10	and	and	CCONJ
ejpam-3667	302	11	hl	hl	NOUN
ejpam-3667	302	12	,	,	PUNCT
ejpam-3667	302	13	j	j	PROPN
ejpam-3667	302	14	=	=	SYM
ejpam-3667	302	15	1	1	NUM
ejpam-3667	302	16	l+1	l+1	PROPN
ejpam-3667	302	17	,	,	PUNCT
ejpam-3667	302	18	0	0	NUM
ejpam-3667	302	19	≤	≤	NUM
ejpam-3667	302	20	j	j	PROPN
ejpam-3667	302	21	≤	≤	ADJ
ejpam-3667	302	22	l	l	NOUN
ejpam-3667	302	23	in	in	ADP
ejpam-3667	302	24	our	our	PRON
ejpam-3667	302	25	theorem	theorem	NOUN
ejpam-3667	302	26	1	1	NUM
ejpam-3667	302	27	,	,	PUNCT
ejpam-3667	302	28	the	the	DET
ejpam-3667	302	29	result	result	NOUN
ejpam-3667	302	30	of	of	ADP
ejpam-3667	302	31	dhakal	dhakal	PROPN
ejpam-3667	302	32	[	[	X
ejpam-3667	302	33	5	5	NUM
ejpam-3667	302	34	]	]	PUNCT
ejpam-3667	302	35	follows	follow	VERB
ejpam-3667	302	36	.	.	PUNCT
ejpam-3667	303	1	(	(	PUNCT
ejpam-3667	303	2	iii	iii	X
ejpam-3667	303	3	)	)	PUNCT
ejpam-3667	303	4	using	use	VERB
ejpam-3667	303	5	remark	remark	NOUN
ejpam-3667	303	6	6(i	6(i	NUM
ejpam-3667	303	7	)	)	PUNCT
ejpam-3667	303	8	,	,	PUNCT
ejpam-3667	303	9	putting	put	VERB
ejpam-3667	303	10	bl	bl	PROPN
ejpam-3667	303	11	,	,	PUNCT
ejpam-3667	303	12	j	j	PROPN
ejpam-3667	303	13	=	=	SYM
ejpam-3667	303	14	1	1	NUM
ejpam-3667	303	15	2l	2l	NOUN
ejpam-3667	303	16	(	(	PUNCT
ejpam-3667	303	17	l	l	NOUN
ejpam-3667	303	18	j	j	PROPN
ejpam-3667	303	19	)	)	PUNCT
ejpam-3667	303	20	and	and	CCONJ
ejpam-3667	303	21	hl	hl	NOUN
ejpam-3667	303	22	,	,	PUNCT
ejpam-3667	303	23	j	j	PROPN
ejpam-3667	304	1	=	=	SYM
ejpam-3667	304	2	1	1	NUM
ejpam-3667	304	3	l+1	l+1	PROPN
ejpam-3667	304	4	,	,	PUNCT
ejpam-3667	304	5	0	0	NUM
ejpam-3667	304	6	≤	≤	NUM
ejpam-3667	304	7	j	j	PROPN
ejpam-3667	304	8	≤	≤	ADJ
ejpam-3667	304	9	l	l	NOUN
ejpam-3667	304	10	in	in	ADP
ejpam-3667	304	11	our	our	PRON
ejpam-3667	304	12	theorem	theorem	NOUN
ejpam-3667	304	13	1	1	NUM
ejpam-3667	304	14	,	,	PUNCT
ejpam-3667	304	15	then	then	ADV
ejpam-3667	304	16	in	in	ADP
ejpam-3667	304	17	view	view	NOUN
ejpam-3667	304	18	of	of	ADP
ejpam-3667	304	19	remark	remark	NOUN
ejpam-3667	304	20	7(ii	7(ii	PROPN
ejpam-3667	304	21	)	)	PUNCT
ejpam-3667	304	22	,	,	PUNCT
ejpam-3667	304	23	the	the	DET
ejpam-3667	304	24	result	result	NOUN
ejpam-3667	304	25	of	of	ADP
ejpam-3667	304	26	nigam	nigam	PROPN
ejpam-3667	304	27	[	[	X
ejpam-3667	304	28	11	11	NUM
ejpam-3667	304	29	]	]	PUNCT
ejpam-3667	304	30	follows	follow	VERB
ejpam-3667	304	31	.	.	PUNCT
ejpam-3667	305	1	(	(	PUNCT
ejpam-3667	305	2	iv	iv	X
ejpam-3667	305	3	)	)	PUNCT
ejpam-3667	305	4	using	use	VERB
ejpam-3667	305	5	remark	remark	NOUN
ejpam-3667	305	6	6(i	6(i	NUM
ejpam-3667	305	7	)	)	PUNCT
ejpam-3667	305	8	,	,	PUNCT
ejpam-3667	305	9	putting	put	VERB
ejpam-3667	305	10	ξ(z	ξ(z	NOUN
ejpam-3667	305	11	)	)	PUNCT
ejpam-3667	305	12	=	=	PUNCT
ejpam-3667	305	13	∏α	∏α	PROPN
ejpam-3667	305	14	j=1	j=1	PROPN
ejpam-3667	305	15	z	z	PROPN
ejpam-3667	305	16	j	j	PROPN
ejpam-3667	305	17	,	,	PUNCT
ejpam-3667	305	18	α	α	PROPN
ejpam-3667	305	19	≥	≥	NUM
ejpam-3667	305	20	1	1	NUM
ejpam-3667	305	21	and	and	CCONJ
ejpam-3667	305	22	hl	hl	NOUN
ejpam-3667	305	23	,	,	PUNCT
ejpam-3667	305	24	j	j	PROPN
ejpam-3667	305	25	=	=	SYM
ejpam-3667	305	26	1	1	NUM
ejpam-3667	305	27	l+1	l+1	PROPN
ejpam-3667	305	28	,	,	PUNCT
ejpam-3667	305	29	0	0	NUM
ejpam-3667	305	30	≤	≤	NUM
ejpam-3667	305	31	j	j	PROPN
ejpam-3667	305	32	≤	≤	ADJ
ejpam-3667	305	33	l	l	NOUN
ejpam-3667	305	34	in	in	ADP
ejpam-3667	305	35	our	our	PRON
ejpam-3667	305	36	theorem	theorem	NOUN
ejpam-3667	305	37	1	1	NUM
ejpam-3667	305	38	,	,	PUNCT
ejpam-3667	305	39	then	then	ADV
ejpam-3667	305	40	in	in	ADP
ejpam-3667	305	41	view	view	NOUN
ejpam-3667	305	42	of	of	ADP
ejpam-3667	305	43	remark	remark	NOUN
ejpam-3667	305	44	7(i	7(i	NUM
ejpam-3667	305	45	)	)	PUNCT
ejpam-3667	305	46	,	,	PUNCT
ejpam-3667	305	47	the	the	DET
ejpam-3667	305	48	result	result	NOUN
ejpam-3667	305	49	of	of	ADP
ejpam-3667	305	50	nigam	nigam	PROPN
ejpam-3667	306	1	[	[	X
ejpam-3667	306	2	12	12	NUM
ejpam-3667	306	3	]	]	PUNCT
ejpam-3667	306	4	follows	follow	VERB
ejpam-3667	306	5	.	.	PUNCT
ejpam-3667	307	1	(	(	PUNCT
ejpam-3667	307	2	v	v	NOUN
ejpam-3667	307	3	)	)	PUNCT
ejpam-3667	307	4	using	use	VERB
ejpam-3667	307	5	remark	remark	NOUN
ejpam-3667	307	6	6(i	6(i	NUM
ejpam-3667	307	7	)	)	PUNCT
ejpam-3667	307	8	,	,	PUNCT
ejpam-3667	307	9	putting	put	VERB
ejpam-3667	307	10	bl	bl	PROPN
ejpam-3667	307	11	,	,	PUNCT
ejpam-3667	307	12	j	j	PROPN
ejpam-3667	308	1	=	=	PUNCT
ejpam-3667	308	2	1	1	NUM
ejpam-3667	308	3	l+1	l+1	NOUN
ejpam-3667	308	4	and	and	CCONJ
ejpam-3667	308	5	hl	hl	NOUN
ejpam-3667	308	6	,	,	PUNCT
ejpam-3667	308	7	j	j	PROPN
ejpam-3667	308	8	=	=	SYM
ejpam-3667	308	9	1	1	NUM
ejpam-3667	308	10	(	(	PUNCT
ejpam-3667	308	11	1+q)l	1+q)l	NUM
ejpam-3667	308	12	(	(	PUNCT
ejpam-3667	308	13	l	l	NOUN
ejpam-3667	308	14	j	j	PROPN
ejpam-3667	308	15	)	)	PUNCT
ejpam-3667	308	16	ql−j	ql−j	NOUN
ejpam-3667	308	17	in	in	ADP
ejpam-3667	308	18	our	our	PRON
ejpam-3667	308	19	theorem	theorem	NOUN
ejpam-3667	308	20	1	1	NUM
ejpam-3667	308	21	,	,	PUNCT
ejpam-3667	308	22	in	in	ADP
ejpam-3667	308	23	view	view	NOUN
ejpam-3667	308	24	of	of	ADP
ejpam-3667	308	25	remark	remark	NOUN
ejpam-3667	308	26	7(ii	7(ii	PROPN
ejpam-3667	308	27	)	)	PUNCT
ejpam-3667	308	28	,	,	PUNCT
ejpam-3667	308	29	the	the	DET
ejpam-3667	308	30	result	result	NOUN
ejpam-3667	308	31	of	of	ADP
ejpam-3667	308	32	nigam	nigam	PROPN
ejpam-3667	309	1	[	[	X
ejpam-3667	309	2	13	13	NUM
ejpam-3667	309	3	]	]	PUNCT
ejpam-3667	309	4	follows	follow	VERB
ejpam-3667	309	5	.	.	PUNCT
ejpam-3667	310	1	(	(	PUNCT
ejpam-3667	310	2	vi	vi	X
ejpam-3667	310	3	)	)	PUNCT
ejpam-3667	310	4	using	use	VERB
ejpam-3667	310	5	remark	remark	NOUN
ejpam-3667	310	6	6(i	6(i	NUM
ejpam-3667	310	7	)	)	PUNCT
ejpam-3667	310	8	and	and	CCONJ
ejpam-3667	310	9	6(ii	6(ii	NUM
ejpam-3667	310	10	)	)	PUNCT
ejpam-3667	310	11	,	,	PUNCT
ejpam-3667	310	12	putting	put	VERB
ejpam-3667	310	13	bl	bl	PROPN
ejpam-3667	310	14	,	,	PUNCT
ejpam-3667	310	15	j	j	PROPN
ejpam-3667	310	16	=	=	PROPN
ejpam-3667	310	17	pl−j	pl−j	PROPN
ejpam-3667	310	18	pj	pj	PROPN
ejpam-3667	310	19	,	,	PUNCT
ejpam-3667	310	20	∑l	∑l	PROPN
ejpam-3667	310	21	j=0	j=0	PROPN
ejpam-3667	310	22	pj	pj	PROPN
ejpam-3667	310	23	6=	6=	PROPN
ejpam-3667	310	24	0	0	NUM
ejpam-3667	310	25	,	,	PUNCT
ejpam-3667	310	26	ql	ql	CCONJ
ejpam-3667	310	27	=	=	SYM
ejpam-3667	310	28	1	1	NUM
ejpam-3667	310	29	∀	∀	NOUN
ejpam-3667	310	30	l	l	NOUN
ejpam-3667	310	31	and	and	CCONJ
ejpam-3667	310	32	hl	hl	NOUN
ejpam-3667	310	33	,	,	PUNCT
ejpam-3667	310	34	j	j	PROPN
ejpam-3667	310	35	=	=	SYM
ejpam-3667	310	36	1	1	NUM
ejpam-3667	310	37	l+1	l+1	PROPN
ejpam-3667	310	38	,	,	PUNCT
ejpam-3667	310	39	0	0	NUM
ejpam-3667	310	40	≤	≤	NUM
ejpam-3667	310	41	j	j	PROPN
ejpam-3667	310	42	≤	≤	ADJ
ejpam-3667	310	43	l	l	NOUN
ejpam-3667	310	44	in	in	ADP
ejpam-3667	310	45	our	our	PRON
ejpam-3667	310	46	theorem	theorem	NOUN
ejpam-3667	310	47	1	1	NUM
ejpam-3667	310	48	then	then	ADV
ejpam-3667	310	49	in	in	ADP
ejpam-3667	310	50	view	view	NOUN
ejpam-3667	310	51	of	of	ADP
ejpam-3667	310	52	remark	remark	NOUN
ejpam-3667	310	53	7(ii	7(ii	PROPN
ejpam-3667	310	54	)	)	PUNCT
ejpam-3667	310	55	,	,	PUNCT
ejpam-3667	310	56	the	the	DET
ejpam-3667	310	57	result	result	NOUN
ejpam-3667	310	58	of	of	ADP
ejpam-3667	310	59	nigam	nigam	PROPN
ejpam-3667	310	60	and	and	CCONJ
ejpam-3667	310	61	sharma	sharma	PROPN
ejpam-3667	311	1	[	[	X
ejpam-3667	311	2	14	14	NUM
ejpam-3667	311	3	]	]	PUNCT
ejpam-3667	311	4	follows	follow	VERB
ejpam-3667	311	5	.	.	PUNCT
ejpam-3667	312	1	references	reference	NOUN
ejpam-3667	312	2	366	366	NUM
ejpam-3667	312	3	(	(	PUNCT
ejpam-3667	312	4	vii	vii	PROPN
ejpam-3667	312	5	)	)	PUNCT
ejpam-3667	312	6	using	use	VERB
ejpam-3667	312	7	remark	remark	NOUN
ejpam-3667	312	8	6(i	6(i	NUM
ejpam-3667	312	9	)	)	PUNCT
ejpam-3667	312	10	,	,	PUNCT
ejpam-3667	312	11	putting	put	VERB
ejpam-3667	312	12	bl	bl	PROPN
ejpam-3667	312	13	,	,	PUNCT
ejpam-3667	312	14	j	j	PROPN
ejpam-3667	312	15	=	=	PUNCT
ejpam-3667	312	16	1	1	NUM
ejpam-3667	312	17	l+1	l+1	NOUN
ejpam-3667	312	18	and	and	CCONJ
ejpam-3667	312	19	hl	hl	NOUN
ejpam-3667	312	20	,	,	PUNCT
ejpam-3667	312	21	j	j	PROPN
ejpam-3667	312	22	=	=	SYM
ejpam-3667	312	23	1	1	NUM
ejpam-3667	312	24	(	(	PUNCT
ejpam-3667	312	25	1+q)l	1+q)l	NUM
ejpam-3667	312	26	(	(	PUNCT
ejpam-3667	312	27	l	l	NOUN
ejpam-3667	312	28	j	j	PROPN
ejpam-3667	312	29	)	)	PUNCT
ejpam-3667	312	30	ql−j	ql−j	NOUN
ejpam-3667	312	31	in	in	ADP
ejpam-3667	312	32	our	our	PRON
ejpam-3667	312	33	theorem	theorem	NOUN
ejpam-3667	312	34	1	1	NUM
ejpam-3667	312	35	,	,	PUNCT
ejpam-3667	312	36	then	then	ADV
ejpam-3667	312	37	in	in	ADP
ejpam-3667	312	38	view	view	NOUN
ejpam-3667	312	39	of	of	ADP
ejpam-3667	312	40	remark	remark	NOUN
ejpam-3667	312	41	7(i	7(i	NUM
ejpam-3667	312	42	)	)	PUNCT
ejpam-3667	312	43	,	,	PUNCT
ejpam-3667	312	44	the	the	DET
ejpam-3667	312	45	result	result	NOUN
ejpam-3667	312	46	of	of	ADP
ejpam-3667	312	47	nigam	nigam	PROPN
ejpam-3667	312	48	and	and	CCONJ
ejpam-3667	312	49	sharma	sharma	PROPN
ejpam-3667	312	50	[	[	X
ejpam-3667	312	51	15	15	NUM
ejpam-3667	312	52	]	]	PUNCT
ejpam-3667	312	53	follows	follow	VERB
ejpam-3667	312	54	.	.	PUNCT
ejpam-3667	313	1	(	(	PUNCT
ejpam-3667	313	2	viii	viii	NOUN
ejpam-3667	313	3	)	)	PUNCT
ejpam-3667	313	4	using	use	VERB
ejpam-3667	313	5	remark	remark	NOUN
ejpam-3667	313	6	6(i	6(i	NUM
ejpam-3667	313	7	)	)	PUNCT
ejpam-3667	313	8	,	,	PUNCT
ejpam-3667	313	9	putting	put	VERB
ejpam-3667	313	10	bl	bl	PROPN
ejpam-3667	313	11	,	,	PUNCT
ejpam-3667	313	12	j	j	PROPN
ejpam-3667	313	13	=	=	SYM
ejpam-3667	313	14	1	1	NUM
ejpam-3667	313	15	2l	2l	NOUN
ejpam-3667	313	16	(	(	PUNCT
ejpam-3667	313	17	l	l	NOUN
ejpam-3667	313	18	j	j	PROPN
ejpam-3667	313	19	)	)	PUNCT
ejpam-3667	313	20	and	and	CCONJ
ejpam-3667	313	21	hl	hl	NOUN
ejpam-3667	313	22	,	,	PUNCT
ejpam-3667	313	23	j	j	PROPN
ejpam-3667	313	24	=	=	SYM
ejpam-3667	313	25	1	1	NUM
ejpam-3667	313	26	l+1	l+1	PROPN
ejpam-3667	313	27	,	,	PUNCT
ejpam-3667	313	28	0	0	NUM
ejpam-3667	313	29	≤	≤	NUM
ejpam-3667	313	30	j	j	PROPN
ejpam-3667	313	31	≤	≤	ADJ
ejpam-3667	313	32	l	l	NOUN
ejpam-3667	313	33	in	in	ADP
ejpam-3667	313	34	our	our	PRON
ejpam-3667	313	35	theorem	theorem	NOUN
ejpam-3667	313	36	1	1	NUM
ejpam-3667	313	37	,	,	PUNCT
ejpam-3667	313	38	then	then	ADV
ejpam-3667	313	39	in	in	ADP
ejpam-3667	313	40	view	view	NOUN
ejpam-3667	313	41	of	of	ADP
ejpam-3667	313	42	remark	remark	NOUN
ejpam-3667	313	43	7(i	7(i	NUM
ejpam-3667	313	44	)	)	PUNCT
ejpam-3667	313	45	,	,	PUNCT
ejpam-3667	313	46	the	the	DET
ejpam-3667	313	47	result	result	NOUN
ejpam-3667	313	48	of	of	ADP
ejpam-3667	313	49	nigam	nigam	PROPN
ejpam-3667	313	50	and	and	CCONJ
ejpam-3667	313	51	sharma	sharma	PROPN
ejpam-3667	313	52	[	[	X
ejpam-3667	313	53	16	16	NUM
ejpam-3667	313	54	]	]	PUNCT
ejpam-3667	313	55	follows	follow	VERB
ejpam-3667	313	56	.	.	PUNCT
ejpam-3667	314	1	(	(	PUNCT
ejpam-3667	314	2	ix	ix	ADV
ejpam-3667	314	3	)	)	PUNCT
ejpam-3667	314	4	using	use	VERB
ejpam-3667	314	5	remark	remark	NOUN
ejpam-3667	314	6	6(ii	6(ii	PROPN
ejpam-3667	314	7	)	)	PUNCT
ejpam-3667	314	8	,	,	PUNCT
ejpam-3667	314	9	putting	put	VERB
ejpam-3667	314	10	bl	bl	PROPN
ejpam-3667	314	11	,	,	PUNCT
ejpam-3667	314	12	j	j	PROPN
ejpam-3667	314	13	=	=	PUNCT
ejpam-3667	314	14	pl−jqj	pl−jqj	ADP
ejpam-3667	314	15	rl	rl	X
ejpam-3667	314	16	,	,	PUNCT
ejpam-3667	314	17	rl	rl	PROPN
ejpam-3667	314	18	=	=	SYM
ejpam-3667	314	19	∑l	∑l	PROPN
ejpam-3667	314	20	j=0	j=0	PROPN
ejpam-3667	314	21	pjql−j	pjql−j	PROPN
ejpam-3667	314	22	and	and	CCONJ
ejpam-3667	314	23	hl	hl	NOUN
ejpam-3667	314	24	,	,	PUNCT
ejpam-3667	314	25	j	j	PROPN
ejpam-3667	314	26	=	=	SYM
ejpam-3667	314	27	1	1	NUM
ejpam-3667	314	28	l+1	l+1	PROPN
ejpam-3667	314	29	,	,	PUNCT
ejpam-3667	314	30	0	0	NUM
ejpam-3667	314	31	≤	≤	NUM
ejpam-3667	314	32	j	j	PROPN
ejpam-3667	314	33	≤	≤	ADJ
ejpam-3667	314	34	l	l	NOUN
ejpam-3667	314	35	in	in	ADP
ejpam-3667	314	36	our	our	PRON
ejpam-3667	314	37	theorem	theorem	NOUN
ejpam-3667	314	38	1	1	NUM
ejpam-3667	314	39	,	,	PUNCT
ejpam-3667	314	40	the	the	DET
ejpam-3667	314	41	result	result	NOUN
ejpam-3667	314	42	of	of	ADP
ejpam-3667	314	43	kushwaha	kushwaha	NOUN
ejpam-3667	314	44	and	and	CCONJ
ejpam-3667	314	45	dhakal	dhakal	VERB
ejpam-3667	314	46	[	[	X
ejpam-3667	314	47	18	18	NUM
ejpam-3667	314	48	]	]	PUNCT
ejpam-3667	314	49	follows	follow	VERB
ejpam-3667	314	50	.	.	PUNCT
ejpam-3667	315	1	(	(	PUNCT
ejpam-3667	315	2	x	x	X
ejpam-3667	315	3	)	)	PUNCT
ejpam-3667	315	4	using	use	VERB
ejpam-3667	315	5	remark	remark	NOUN
ejpam-3667	315	6	6(i	6(i	NUM
ejpam-3667	315	7	)	)	PUNCT
ejpam-3667	315	8	,	,	PUNCT
ejpam-3667	315	9	putting	put	VERB
ejpam-3667	315	10	ξ(z	ξ(z	NOUN
ejpam-3667	315	11	)	)	PUNCT
ejpam-3667	315	12	=	=	PUNCT
ejpam-3667	315	13	∏α	∏α	PROPN
ejpam-3667	315	14	j=1	j=1	PROPN
ejpam-3667	315	15	z	z	PROPN
ejpam-3667	315	16	j	j	PROPN
ejpam-3667	315	17	,	,	PUNCT
ejpam-3667	315	18	α	α	PROPN
ejpam-3667	315	19	≥	≥	NUM
ejpam-3667	315	20	1	1	NUM
ejpam-3667	315	21	and	and	CCONJ
ejpam-3667	315	22	hl	hl	NOUN
ejpam-3667	315	23	,	,	PUNCT
ejpam-3667	315	24	j	j	PROPN
ejpam-3667	315	25	=	=	SYM
ejpam-3667	315	26	1	1	NUM
ejpam-3667	315	27	l+1	l+1	PROPN
ejpam-3667	315	28	,	,	PUNCT
ejpam-3667	315	29	0	0	NUM
ejpam-3667	315	30	≤	≤	NUM
ejpam-3667	315	31	j	j	PROPN
ejpam-3667	315	32	≤	≤	ADJ
ejpam-3667	315	33	l	l	NOUN
ejpam-3667	315	34	in	in	ADP
ejpam-3667	315	35	our	our	PRON
ejpam-3667	315	36	theorem	theorem	NOUN
ejpam-3667	315	37	1	1	NUM
ejpam-3667	315	38	,	,	PUNCT
ejpam-3667	315	39	the	the	DET
ejpam-3667	315	40	result	result	NOUN
ejpam-3667	315	41	of	of	ADP
ejpam-3667	315	42	tiwari	tiwari	NOUN
ejpam-3667	315	43	and	and	CCONJ
ejpam-3667	315	44	bariwal	bariwal	NOUN
ejpam-3667	316	1	[	[	X
ejpam-3667	316	2	26	26	NUM
ejpam-3667	316	3	]	]	PUNCT
ejpam-3667	316	4	follows	follow	VERB
ejpam-3667	316	5	.	.	PUNCT
ejpam-3667	317	1	(	(	PUNCT
ejpam-3667	317	2	xi	xi	X
ejpam-3667	317	3	)	)	PUNCT
ejpam-3667	317	4	using	use	VERB
ejpam-3667	317	5	remark	remark	NOUN
ejpam-3667	317	6	6(i	6(i	NUM
ejpam-3667	317	7	)	)	PUNCT
ejpam-3667	317	8	,	,	PUNCT
ejpam-3667	317	9	putting	put	VERB
ejpam-3667	317	10	bl	bl	PROPN
ejpam-3667	317	11	,	,	PUNCT
ejpam-3667	317	12	j	j	PROPN
ejpam-3667	317	13	=	=	PUNCT
ejpam-3667	317	14	1	1	NUM
ejpam-3667	317	15	l+1	l+1	NOUN
ejpam-3667	317	16	and	and	CCONJ
ejpam-3667	317	17	hl	hl	NOUN
ejpam-3667	317	18	,	,	PUNCT
ejpam-3667	317	19	j	j	PROPN
ejpam-3667	318	1	=	=	SYM
ejpam-3667	318	2	1	1	NUM
ejpam-3667	318	3	(	(	PUNCT
ejpam-3667	318	4	1+q)l	1+q)l	NUM
ejpam-3667	318	5	(	(	PUNCT
ejpam-3667	318	6	l	l	NOUN
ejpam-3667	318	7	j	j	PROPN
ejpam-3667	318	8	)	)	PUNCT
ejpam-3667	318	9	ql−j	ql−j	NOUN
ejpam-3667	318	10	in	in	ADP
ejpam-3667	318	11	our	our	PRON
ejpam-3667	318	12	theorem	theorem	NOUN
ejpam-3667	318	13	1	1	NUM
ejpam-3667	318	14	,	,	PUNCT
ejpam-3667	318	15	the	the	DET
ejpam-3667	318	16	result	result	NOUN
ejpam-3667	318	17	of	of	ADP
ejpam-3667	318	18	lal	lal	PROPN
ejpam-3667	319	1	[	[	X
ejpam-3667	319	2	29	29	NUM
ejpam-3667	319	3	]	]	PUNCT
ejpam-3667	319	4	follows	follow	VERB
ejpam-3667	319	5	.	.	PUNCT
ejpam-3667	320	1	(	(	PUNCT
ejpam-3667	320	2	xii	xii	NOUN
ejpam-3667	320	3	)	)	PUNCT
ejpam-3667	320	4	using	use	VERB
ejpam-3667	320	5	remark	remark	NOUN
ejpam-3667	320	6	6(i	6(i	NUM
ejpam-3667	320	7	)	)	PUNCT
ejpam-3667	320	8	,	,	PUNCT
ejpam-3667	320	9	putting	put	VERB
ejpam-3667	320	10	hl	hl	NOUN
ejpam-3667	320	11	,	,	PUNCT
ejpam-3667	320	12	j	j	PROPN
ejpam-3667	320	13	=	=	SYM
ejpam-3667	320	14	1	1	NUM
ejpam-3667	320	15	l+1	l+1	PROPN
ejpam-3667	320	16	,	,	PUNCT
ejpam-3667	320	17	0	0	NUM
ejpam-3667	320	18	≤	≤	NUM
ejpam-3667	320	19	j	j	PROPN
ejpam-3667	320	20	≤	≤	ADJ
ejpam-3667	320	21	l	l	NOUN
ejpam-3667	320	22	in	in	ADP
ejpam-3667	320	23	our	our	PRON
ejpam-3667	320	24	theorem	theorem	NOUN
ejpam-3667	320	25	1	1	NUM
ejpam-3667	320	26	,	,	PUNCT
ejpam-3667	320	27	then	then	ADV
ejpam-3667	320	28	in	in	ADP
ejpam-3667	320	29	view	view	NOUN
ejpam-3667	320	30	of	of	ADP
ejpam-3667	320	31	remark	remark	NOUN
ejpam-3667	320	32	7(i	7(i	NUM
ejpam-3667	320	33	)	)	PUNCT
ejpam-3667	320	34	,	,	PUNCT
ejpam-3667	320	35	the	the	DET
ejpam-3667	320	36	result	result	NOUN
ejpam-3667	320	37	of	of	ADP
ejpam-3667	320	38	shrivastava	shrivastava	PROPN
ejpam-3667	320	39	,	,	PUNCT
ejpam-3667	320	40	rathore	rathore	NOUN
ejpam-3667	320	41	and	and	CCONJ
ejpam-3667	320	42	shukla	shukla	NOUN
ejpam-3667	321	1	[	[	X
ejpam-3667	321	2	30	30	NUM
ejpam-3667	321	3	]	]	PUNCT
ejpam-3667	321	4	follows	follow	VERB
ejpam-3667	321	5	.	.	PUNCT
ejpam-3667	322	1	8	8	X
ejpam-3667	322	2	.	.	X
ejpam-3667	322	3	conclusion	conclusion	NOUN
ejpam-3667	322	4	in	in	ADP
ejpam-3667	322	5	this	this	DET
ejpam-3667	322	6	paper	paper	NOUN
ejpam-3667	322	7	,	,	PUNCT
ejpam-3667	322	8	we	we	PRON
ejpam-3667	322	9	obtain	obtain	VERB
ejpam-3667	322	10	the	the	DET
ejpam-3667	322	11	error	error	NOUN
ejpam-3667	322	12	estimation	estimation	NOUN
ejpam-3667	322	13	of	of	ADP
ejpam-3667	322	14	the	the	DET
ejpam-3667	322	15	function	function	NOUN
ejpam-3667	322	16	g	g	NOUN
ejpam-3667	322	17	in	in	ADP
ejpam-3667	322	18	the	the	DET
ejpam-3667	322	19	hölder	hölder	NOUN
ejpam-3667	322	20	space	space	NOUN
ejpam-3667	322	21	h	h	NOUN
ejpam-3667	322	22	(	(	PUNCT
ejpam-3667	322	23	η	η	NOUN
ejpam-3667	322	24	)	)	PUNCT
ejpam-3667	322	25	r	r	NOUN
ejpam-3667	322	26	(	(	PUNCT
ejpam-3667	322	27	r	r	NOUN
ejpam-3667	322	28	≥	≥	NOUN
ejpam-3667	322	29	1	1	NUM
ejpam-3667	322	30	)	)	PUNCT
ejpam-3667	322	31	by	by	ADP
ejpam-3667	322	32	matrix	matrix	NOUN
ejpam-3667	322	33	-	-	PUNCT
ejpam-3667	322	34	hausdorff	hausdorff	NOUN
ejpam-3667	322	35	(	(	PUNCT
ejpam-3667	322	36	t∆h	t∆h	NOUN
ejpam-3667	322	37	)	)	PUNCT
ejpam-3667	322	38	product	product	NOUN
ejpam-3667	322	39	means	mean	NOUN
ejpam-3667	322	40	of	of	ADP
ejpam-3667	322	41	its	its	PRON
ejpam-3667	322	42	fourier	fourier	NOUN
ejpam-3667	322	43	series	series	NOUN
ejpam-3667	322	44	.	.	PUNCT
ejpam-3667	323	1	since	since	SCONJ
ejpam-3667	323	2	,	,	PUNCT
ejpam-3667	323	3	in	in	ADP
ejpam-3667	323	4	view	view	NOUN
ejpam-3667	323	5	of	of	ADP
ejpam-3667	323	6	remark	remark	NOUN
ejpam-3667	323	7	1	1	NUM
ejpam-3667	323	8	,	,	PUNCT
ejpam-3667	323	9	the	the	DET
ejpam-3667	323	10	product	product	NOUN
ejpam-3667	323	11	summability	summability	NOUN
ejpam-3667	323	12	means	mean	VERB
ejpam-3667	323	13	cα∆h	cα∆h	PROPN
ejpam-3667	323	14	,	,	PUNCT
ejpam-3667	323	15	h1	h1	PROPN
ejpam-3667	323	16	/	/	SYM
ejpam-3667	323	17	l+1∆h	l+1∆h	PROPN
ejpam-3667	323	18	,	,	PUNCT
ejpam-3667	323	19	np	np	INTJ
ejpam-3667	323	20	,	,	PUNCT
ejpam-3667	323	21	q∆h	q∆h	NOUN
ejpam-3667	323	22	,	,	PUNCT
ejpam-3667	323	23	np∆h	np∆h	PROPN
ejpam-3667	323	24	,	,	PUNCT
ejpam-3667	323	25	ñp∆h	ñp∆h	ADJ
ejpam-3667	323	26	,	,	PUNCT
ejpam-3667	323	27	eq∆h	eq∆h	PROPN
ejpam-3667	323	28	,	,	PUNCT
ejpam-3667	323	29	tcα	tcα	NOUN
ejpam-3667	323	30	and	and	CCONJ
ejpam-3667	323	31	teq	teq	PROPN
ejpam-3667	323	32	are	be	AUX
ejpam-3667	323	33	the	the	DET
ejpam-3667	323	34	particular	particular	ADJ
ejpam-3667	323	35	cases	case	NOUN
ejpam-3667	323	36	of	of	ADP
ejpam-3667	323	37	t∆h	t∆h	NOUN
ejpam-3667	323	38	product	product	NOUN
ejpam-3667	323	39	means	mean	VERB
ejpam-3667	323	40	.	.	PUNCT
ejpam-3667	324	1	some	some	DET
ejpam-3667	324	2	useful	useful	ADJ
ejpam-3667	324	3	results	result	NOUN
ejpam-3667	324	4	are	be	AUX
ejpam-3667	324	5	also	also	ADV
ejpam-3667	324	6	deduced	deduce	VERB
ejpam-3667	324	7	in	in	ADP
ejpam-3667	324	8	the	the	DET
ejpam-3667	324	9	form	form	NOUN
ejpam-3667	324	10	of	of	ADP
ejpam-3667	324	11	corollaries	corollary	NOUN
ejpam-3667	324	12	from	from	ADP
ejpam-3667	324	13	our	our	PRON
ejpam-3667	324	14	theorem	theorem	NOUN
ejpam-3667	324	15	.	.	PUNCT
ejpam-3667	325	1	some	some	DET
ejpam-3667	325	2	other	other	ADJ
ejpam-3667	325	3	studies	study	NOUN
ejpam-3667	325	4	regarding	regard	VERB
ejpam-3667	325	5	modulus	modulus	NOUN
ejpam-3667	325	6	of	of	ADP
ejpam-3667	325	7	continuity	continuity	NOUN
ejpam-3667	325	8	(	(	PUNCT
ejpam-3667	325	9	smoothness	smoothness	ADJ
ejpam-3667	325	10	)	)	PUNCT
ejpam-3667	325	11	of	of	ADP
ejpam-3667	325	12	functions	function	NOUN
ejpam-3667	325	13	using	use	VERB
ejpam-3667	325	14	more	more	ADV
ejpam-3667	325	15	generalized	generalized	ADJ
ejpam-3667	325	16	functional	functional	ADJ
ejpam-3667	325	17	spaces	space	NOUN
ejpam-3667	325	18	may	may	AUX
ejpam-3667	325	19	be	be	AUX
ejpam-3667	325	20	the	the	DET
ejpam-3667	325	21	future	future	ADJ
ejpam-3667	325	22	interest	interest	NOUN
ejpam-3667	325	23	of	of	ADP
ejpam-3667	325	24	a	a	DET
ejpam-3667	325	25	few	few	ADJ
ejpam-3667	325	26	investigators	investigator	NOUN
ejpam-3667	325	27	in	in	ADP
ejpam-3667	325	28	the	the	DET
ejpam-3667	325	29	direction	direction	NOUN
ejpam-3667	325	30	of	of	ADP
ejpam-3667	325	31	this	this	DET
ejpam-3667	325	32	work	work	NOUN
ejpam-3667	325	33	.	.	PUNCT
ejpam-3667	326	1	acknowledgements	acknowledgement	VERB
ejpam-3667	326	2	the	the	DET
ejpam-3667	326	3	first	first	ADJ
ejpam-3667	326	4	author	author	NOUN
ejpam-3667	326	5	expresses	express	VERB
ejpam-3667	326	6	his	his	PRON
ejpam-3667	326	7	gratitude	gratitude	NOUN
ejpam-3667	326	8	towards	towards	ADP
ejpam-3667	326	9	his	his	PRON
ejpam-3667	326	10	mother	mother	NOUN
ejpam-3667	326	11	for	for	ADP
ejpam-3667	326	12	her	her	PRON
ejpam-3667	326	13	blessings	blessing	NOUN
ejpam-3667	326	14	.	.	PUNCT
ejpam-3667	327	1	the	the	DET
ejpam-3667	327	2	first	first	ADJ
ejpam-3667	327	3	author	author	NOUN
ejpam-3667	327	4	also	also	ADV
ejpam-3667	327	5	expresses	express	VERB
ejpam-3667	327	6	his	his	PRON
ejpam-3667	327	7	gratitude	gratitude	NOUN
ejpam-3667	327	8	towards	towards	ADP
ejpam-3667	327	9	his	his	PRON
ejpam-3667	327	10	father	father	NOUN
ejpam-3667	327	11	in	in	ADP
ejpam-3667	327	12	heaven	heaven	PROPN
ejpam-3667	327	13	,	,	PUNCT
ejpam-3667	327	14	whose	whose	DET
ejpam-3667	327	15	soul	soul	NOUN
ejpam-3667	327	16	is	be	AUX
ejpam-3667	327	17	always	always	ADV
ejpam-3667	327	18	guiding	guide	VERB
ejpam-3667	327	19	and	and	CCONJ
ejpam-3667	327	20	encouraging	encourage	VERB
ejpam-3667	327	21	him	he	PRON
ejpam-3667	327	22	.	.	PUNCT
ejpam-3667	328	1	the	the	DET
ejpam-3667	328	2	first	first	ADJ
ejpam-3667	328	3	author	author	NOUN
ejpam-3667	328	4	is	be	AUX
ejpam-3667	328	5	also	also	ADV
ejpam-3667	328	6	thankful	thankful	ADJ
ejpam-3667	328	7	to	to	ADP
ejpam-3667	328	8	council	council	PROPN
ejpam-3667	328	9	of	of	ADP
ejpam-3667	328	10	scientific	scientific	ADJ
ejpam-3667	328	11	and	and	CCONJ
ejpam-3667	328	12	industrial	industrial	ADJ
ejpam-3667	328	13	research	research	NOUN
ejpam-3667	328	14	,	,	PUNCT
ejpam-3667	328	15	government	government	NOUN
ejpam-3667	328	16	of	of	ADP
ejpam-3667	328	17	india	india	PROPN
ejpam-3667	328	18	for	for	ADP
ejpam-3667	328	19	support	support	NOUN
ejpam-3667	328	20	under	under	ADP
ejpam-3667	328	21	the	the	DET
ejpam-3667	328	22	scheme	scheme	NOUN
ejpam-3667	328	23	25/(0225)/13	25/(0225)/13	NUM
ejpam-3667	328	24	/	/	SYM
ejpam-3667	328	25	emrii	emrii	NOUN
ejpam-3667	328	26	.	.	PUNCT
ejpam-3667	329	1	the	the	DET
ejpam-3667	329	2	second	second	ADJ
ejpam-3667	329	3	author	author	NOUN
ejpam-3667	329	4	also	also	ADV
ejpam-3667	329	5	expresses	express	VERB
ejpam-3667	329	6	her	her	PRON
ejpam-3667	329	7	gratitude	gratitude	NOUN
ejpam-3667	329	8	towards	towards	ADP
ejpam-3667	329	9	her	her	PRON
ejpam-3667	329	10	parents	parent	NOUN
ejpam-3667	329	11	for	for	ADP
ejpam-3667	329	12	their	their	PRON
ejpam-3667	329	13	blessings	blessing	NOUN
ejpam-3667	329	14	.	.	PUNCT
ejpam-3667	330	1	references	reference	NOUN
ejpam-3667	330	2	[	[	X
ejpam-3667	330	3	1	1	NUM
ejpam-3667	330	4	]	]	PUNCT
ejpam-3667	330	5	a.	a.	NOUN
ejpam-3667	330	6	zygmund	zygmund	PROPN
ejpam-3667	330	7	.	.	PUNCT
ejpam-3667	331	1	trigonometric	trigonometric	PROPN
ejpam-3667	331	2	series	series	NOUN
ejpam-3667	331	3	,	,	PUNCT
ejpam-3667	331	4	volume	volume	NOUN
ejpam-3667	331	5	1	1	NUM
ejpam-3667	331	6	.	.	PUNCT
ejpam-3667	331	7	cambridge	cambridge	PROPN
ejpam-3667	331	8	university	university	PROPN
ejpam-3667	331	9	press	press	NOUN
ejpam-3667	331	10	,	,	PUNCT
ejpam-3667	331	11	2002	2002	NUM
ejpam-3667	331	12	.	.	PUNCT
ejpam-3667	332	1	references	reference	NOUN
ejpam-3667	332	2	367	367	NUM
ejpam-3667	333	1	[	[	X
ejpam-3667	333	2	2	2	NUM
ejpam-3667	333	3	]	]	X
ejpam-3667	333	4	b.	b.	PROPN
ejpam-3667	333	5	e.	e.	PROPN
ejpam-3667	333	6	rhoades	rhoades	PROPN
ejpam-3667	333	7	.	.	PUNCT
ejpam-3667	334	1	on	on	ADP
ejpam-3667	334	2	the	the	DET
ejpam-3667	334	3	degree	degree	NOUN
ejpam-3667	334	4	of	of	ADP
ejpam-3667	334	5	approximation	approximation	NOUN
ejpam-3667	334	6	of	of	ADP
ejpam-3667	334	7	functions	function	NOUN
ejpam-3667	334	8	belonging	belong	VERB
ejpam-3667	334	9	to	to	ADP
ejpam-3667	334	10	a	a	DET
ejpam-3667	334	11	lipschitz	lipschitz	NOUN
ejpam-3667	334	12	class	class	NOUN
ejpam-3667	334	13	by	by	ADP
ejpam-3667	334	14	hausdorff	hausdorff	NOUN
ejpam-3667	334	15	means	mean	NOUN
ejpam-3667	334	16	of	of	ADP
ejpam-3667	334	17	its	its	PRON
ejpam-3667	334	18	fourier	fourier	NOUN
ejpam-3667	334	19	series	series	NOUN
ejpam-3667	334	20	.	.	PUNCT
ejpam-3667	335	1	tamkang	tamkang	PROPN
ejpam-3667	335	2	journal	journal	PROPN
ejpam-3667	335	3	of	of	ADP
ejpam-3667	335	4	mathematics	mathematic	NOUN
ejpam-3667	335	5	,	,	PUNCT
ejpam-3667	335	6	34(3):245–247	34(3):245–247	PROPN
ejpam-3667	335	7	,	,	PUNCT
ejpam-3667	335	8	2003	2003	NUM
ejpam-3667	335	9	.	.	PUNCT
ejpam-3667	336	1	[	[	X
ejpam-3667	336	2	3	3	X
ejpam-3667	336	3	]	]	X
ejpam-3667	336	4	b.	b.	PROPN
ejpam-3667	336	5	n.	n.	PROPN
ejpam-3667	336	6	sahney	sahney	NOUN
ejpam-3667	336	7	and	and	CCONJ
ejpam-3667	336	8	d.	d.	PROPN
ejpam-3667	336	9	s.	s.	PROPN
ejpam-3667	336	10	goel	goel	PROPN
ejpam-3667	336	11	.	.	PUNCT
ejpam-3667	337	1	on	on	ADP
ejpam-3667	337	2	the	the	DET
ejpam-3667	337	3	degree	degree	NOUN
ejpam-3667	337	4	of	of	ADP
ejpam-3667	337	5	continuous	continuous	ADJ
ejpam-3667	337	6	functions	function	NOUN
ejpam-3667	337	7	.	.	PUNCT
ejpam-3667	338	1	ranchi	ranchi	PROPN
ejpam-3667	338	2	university	university	PROPN
ejpam-3667	338	3	math	math	NOUN
ejpam-3667	338	4	.	.	PUNCT
ejpam-3667	339	1	jour	jour	X
ejpam-3667	339	2	,	,	PUNCT
ejpam-3667	339	3	4:50–53	4:50–53	NUM
ejpam-3667	339	4	,	,	PUNCT
ejpam-3667	339	5	1973	1973	NUM
ejpam-3667	339	6	.	.	PUNCT
ejpam-3667	340	1	[	[	X
ejpam-3667	340	2	4	4	X
ejpam-3667	340	3	]	]	PUNCT
ejpam-3667	340	4	b.	b.	PROPN
ejpam-3667	340	5	p.	p.	PROPN
ejpam-3667	340	6	dhakal	dhakal	PROPN
ejpam-3667	340	7	.	.	PUNCT
ejpam-3667	341	1	approximation	approximation	NOUN
ejpam-3667	341	2	of	of	ADP
ejpam-3667	341	3	functions	function	NOUN
ejpam-3667	341	4	belonging	belong	VERB
ejpam-3667	341	5	to	to	ADP
ejpam-3667	341	6	lipα	lipα	ADJ
ejpam-3667	341	7	class	class	NOUN
ejpam-3667	341	8	by	by	ADP
ejpam-3667	341	9	matrix	matrix	NOUN
ejpam-3667	341	10	-	-	PUNCT
ejpam-3667	341	11	cesàro	cesàro	NOUN
ejpam-3667	341	12	summability	summability	NOUN
ejpam-3667	341	13	method	method	NOUN
ejpam-3667	341	14	.	.	PUNCT
ejpam-3667	342	1	in	in	ADP
ejpam-3667	342	2	int	int	PROPN
ejpam-3667	342	3	.	.	PUNCT
ejpam-3667	343	1	math	math	NOUN
ejpam-3667	343	2	.	.	PUNCT
ejpam-3667	344	1	forum	forum	PROPN
ejpam-3667	344	2	,	,	PUNCT
ejpam-3667	344	3	volume	volume	NOUN
ejpam-3667	344	4	5	5	NUM
ejpam-3667	344	5	,	,	PUNCT
ejpam-3667	344	6	pages	page	NOUN
ejpam-3667	344	7	1729–1735	1729–1735	NUM
ejpam-3667	344	8	,	,	PUNCT
ejpam-3667	344	9	2010	2010	NUM
ejpam-3667	344	10	.	.	PUNCT
ejpam-3667	345	1	[	[	X
ejpam-3667	345	2	5	5	X
ejpam-3667	345	3	]	]	PUNCT
ejpam-3667	345	4	b.	b.	PROPN
ejpam-3667	345	5	p.	p.	PROPN
ejpam-3667	345	6	dhakal	dhakal	PROPN
ejpam-3667	345	7	.	.	PUNCT
ejpam-3667	346	1	approximation	approximation	NOUN
ejpam-3667	346	2	of	of	ADP
ejpam-3667	346	3	a	a	DET
ejpam-3667	346	4	function	function	NOUN
ejpam-3667	346	5	f	f	NOUN
ejpam-3667	346	6	belonging	belong	VERB
ejpam-3667	346	7	to	to	ADP
ejpam-3667	346	8	lipα	lipα	ADJ
ejpam-3667	346	9	class	class	NOUN
ejpam-3667	346	10	by	by	ADP
ejpam-3667	346	11	(	(	PUNCT
ejpam-3667	346	12	n	n	CCONJ
ejpam-3667	346	13	,	,	PUNCT
ejpam-3667	346	14	p	p	X
ejpam-3667	346	15	,	,	PUNCT
ejpam-3667	346	16	q)c1	q)c1	PROPN
ejpam-3667	346	17	means	mean	NOUN
ejpam-3667	346	18	of	of	ADP
ejpam-3667	346	19	its	its	PRON
ejpam-3667	346	20	fourier	fourier	NOUN
ejpam-3667	346	21	series	series	NOUN
ejpam-3667	346	22	.	.	PUNCT
ejpam-3667	347	1	international	international	ADJ
ejpam-3667	347	2	journal	journal	PROPN
ejpam-3667	347	3	of	of	ADP
ejpam-3667	347	4	engineering	engineering	NOUN
ejpam-3667	347	5	research	research	NOUN
ejpam-3667	347	6	and	and	CCONJ
ejpam-3667	347	7	technology	technology	NOUN
ejpam-3667	347	8	(	(	PUNCT
ejpam-3667	347	9	ijert	ijert	PROPN
ejpam-3667	347	10	)	)	PUNCT
ejpam-3667	347	11	,	,	PUNCT
ejpam-3667	347	12	2(3):1–15	2(3):1–15	PROPN
ejpam-3667	347	13	,	,	PUNCT
ejpam-3667	347	14	2013	2013	NUM
ejpam-3667	347	15	.	.	PUNCT
ejpam-3667	348	1	[	[	X
ejpam-3667	348	2	6	6	NUM
ejpam-3667	348	3	]	]	PUNCT
ejpam-3667	348	4	c.	c.	PROPN
ejpam-3667	348	5	k.	k.	PROPN
ejpam-3667	348	6	chui	chui	PROPN
ejpam-3667	348	7	.	.	PUNCT
ejpam-3667	349	1	an	an	DET
ejpam-3667	349	2	introduction	introduction	NOUN
ejpam-3667	349	3	to	to	ADP
ejpam-3667	349	4	wavelets	wavelet	NOUN
ejpam-3667	349	5	,	,	PUNCT
ejpam-3667	349	6	volume	volume	NOUN
ejpam-3667	349	7	1	1	NUM
ejpam-3667	349	8	.	.	PUNCT
ejpam-3667	349	9	academic	academic	ADJ
ejpam-3667	349	10	press	press	PROPN
ejpam-3667	349	11	,	,	PUNCT
ejpam-3667	349	12	usa	usa	PROPN
ejpam-3667	349	13	,	,	PUNCT
ejpam-3667	349	14	1992	1992	NUM
ejpam-3667	349	15	.	.	PUNCT
ejpam-3667	350	1	[	[	X
ejpam-3667	350	2	7	7	X
ejpam-3667	350	3	]	]	X
ejpam-3667	350	4	e.	e.	PROPN
ejpam-3667	350	5	c.	c.	PROPN
ejpam-3667	350	6	titchmarsh	titchmarsh	PROPN
ejpam-3667	350	7	.	.	PUNCT
ejpam-3667	351	1	the	the	DET
ejpam-3667	351	2	theory	theory	NOUN
ejpam-3667	351	3	of	of	ADP
ejpam-3667	351	4	functions	function	NOUN
ejpam-3667	351	5	.	.	PUNCT
ejpam-3667	352	1	oxford	oxford	PROPN
ejpam-3667	352	2	university	university	PROPN
ejpam-3667	352	3	press	press	PROPN
ejpam-3667	352	4	,	,	PUNCT
ejpam-3667	352	5	london	london	PROPN
ejpam-3667	352	6	,	,	PUNCT
ejpam-3667	352	7	1939	1939	NUM
ejpam-3667	352	8	.	.	PUNCT
ejpam-3667	353	1	[	[	X
ejpam-3667	353	2	8	8	NUM
ejpam-3667	353	3	]	]	X
ejpam-3667	353	4	f.	f.	PROPN
ejpam-3667	353	5	hausdorff	hausdorff	PROPN
ejpam-3667	353	6	.	.	PUNCT
ejpam-3667	353	7	summationsmethoden	summationsmethoden	PROPN
ejpam-3667	353	8	and	and	CCONJ
ejpam-3667	353	9	momentfolgen	momentfolgen	NOUN
ejpam-3667	353	10	.	.	PUNCT
ejpam-3667	354	1	math	math	NOUN
ejpam-3667	354	2	.	.	PUNCT
ejpam-3667	355	1	z	z	X
ejpam-3667	355	2	,	,	PUNCT
ejpam-3667	355	3	i	i	PRON
ejpam-3667	355	4	,	,	PUNCT
ejpam-3667	355	5	ii(9):74–109	ii(9):74–109	PROPN
ejpam-3667	355	6	,	,	PUNCT
ejpam-3667	355	7	280–289	280–289	NUM
ejpam-3667	355	8	,	,	PUNCT
ejpam-3667	355	9	1921	1921	NUM
ejpam-3667	355	10	.	.	PUNCT
ejpam-3667	356	1	[	[	X
ejpam-3667	356	2	9	9	NUM
ejpam-3667	356	3	]	]	X
ejpam-3667	356	4	g.	g.	PROPN
ejpam-3667	356	5	alexits	alexits	PROPN
ejpam-3667	356	6	.	.	PUNCT
ejpam-3667	357	1	convergence	convergence	NOUN
ejpam-3667	357	2	problems	problem	NOUN
ejpam-3667	357	3	of	of	ADP
ejpam-3667	357	4	orthogonal	orthogonal	ADJ
ejpam-3667	357	5	series	series	NOUN
ejpam-3667	357	6	,	,	PUNCT
ejpam-3667	357	7	translated	translate	VERB
ejpam-3667	357	8	from	from	ADP
ejpam-3667	357	9	german	german	NOUN
ejpam-3667	357	10	by	by	ADP
ejpam-3667	357	11	i	i	PRON
ejpam-3667	357	12	folder	folder	NOUN
ejpam-3667	357	13	.	.	PUNCT
ejpam-3667	358	1	international	international	ADJ
ejpam-3667	358	2	series	series	NOUN
ejpam-3667	358	3	of	of	ADP
ejpam-3667	358	4	monograms	monogram	NOUN
ejpam-3667	358	5	in	in	ADP
ejpam-3667	358	6	pure	pure	ADJ
ejpam-3667	358	7	and	and	CCONJ
ejpam-3667	358	8	applied	applied	ADJ
ejpam-3667	358	9	mathematics	mathematic	NOUN
ejpam-3667	358	10	,	,	PUNCT
ejpam-3667	358	11	volume	volume	NOUN
ejpam-3667	358	12	20	20	NUM
ejpam-3667	358	13	.	.	PUNCT
ejpam-3667	359	1	elsevier	elsevier	NOUN
ejpam-3667	359	2	,	,	PUNCT
ejpam-3667	359	3	1961	1961	NUM
ejpam-3667	359	4	.	.	PUNCT
ejpam-3667	360	1	[	[	X
ejpam-3667	360	2	10	10	NUM
ejpam-3667	360	3	]	]	X
ejpam-3667	360	4	h.	h.	PROPN
ejpam-3667	360	5	h.	h.	PROPN
ejpam-3667	360	6	khan	khan	PROPN
ejpam-3667	360	7	.	.	PUNCT
ejpam-3667	361	1	on	on	ADP
ejpam-3667	361	2	degree	degree	NOUN
ejpam-3667	361	3	of	of	ADP
ejpam-3667	361	4	approximation	approximation	NOUN
ejpam-3667	361	5	of	of	ADP
ejpam-3667	361	6	functions	function	NOUN
ejpam-3667	361	7	belonging	belong	VERB
ejpam-3667	361	8	to	to	ADP
ejpam-3667	361	9	the	the	DET
ejpam-3667	361	10	class	class	NOUN
ejpam-3667	361	11	lip(α	lip(α	PROPN
ejpam-3667	361	12	,	,	PUNCT
ejpam-3667	361	13	p	p	NOUN
ejpam-3667	361	14	)	)	PUNCT
ejpam-3667	361	15	.	.	PUNCT
ejpam-3667	362	1	indian	indian	PROPN
ejpam-3667	362	2	j.	j.	PROPN
ejpam-3667	362	3	pure	pure	PROPN
ejpam-3667	362	4	appl	appl	PROPN
ejpam-3667	362	5	.	.	PROPN
ejpam-3667	362	6	math	math	PROPN
ejpam-3667	362	7	,	,	PUNCT
ejpam-3667	362	8	5(2):132–136	5(2):132–136	NOUN
ejpam-3667	362	9	,	,	PUNCT
ejpam-3667	362	10	1974	1974	NUM
ejpam-3667	362	11	.	.	PUNCT
ejpam-3667	363	1	[	[	X
ejpam-3667	363	2	11	11	NUM
ejpam-3667	363	3	]	]	PUNCT
ejpam-3667	363	4	h.	h.	PROPN
ejpam-3667	363	5	k.	k.	PROPN
ejpam-3667	363	6	nigam	nigam	PROPN
ejpam-3667	363	7	.	.	PUNCT
ejpam-3667	363	8	degree	degree	NOUN
ejpam-3667	363	9	of	of	ADP
ejpam-3667	363	10	approximation	approximation	NOUN
ejpam-3667	363	11	of	of	ADP
ejpam-3667	363	12	functions	function	NOUN
ejpam-3667	363	13	belonging	belong	VERB
ejpam-3667	363	14	to	to	ADP
ejpam-3667	363	15	class	class	NOUN
ejpam-3667	363	16	and	and	CCONJ
ejpam-3667	363	17	weighted	weight	VERB
ejpam-3667	363	18	class	class	NOUN
ejpam-3667	363	19	by	by	ADP
ejpam-3667	363	20	product	product	NOUN
ejpam-3667	363	21	summability	summability	NOUN
ejpam-3667	363	22	method	method	NOUN
ejpam-3667	363	23	.	.	PUNCT
ejpam-3667	364	1	surveys	survey	NOUN
ejpam-3667	364	2	in	in	ADP
ejpam-3667	364	3	mathematics	mathematic	NOUN
ejpam-3667	364	4	and	and	CCONJ
ejpam-3667	364	5	its	its	PRON
ejpam-3667	364	6	applications	application	NOUN
ejpam-3667	364	7	,	,	PUNCT
ejpam-3667	364	8	5:113–122	5:113–122	NUM
ejpam-3667	364	9	,	,	PUNCT
ejpam-3667	364	10	2010	2010	NUM
ejpam-3667	364	11	.	.	PUNCT
ejpam-3667	365	1	[	[	X
ejpam-3667	365	2	12	12	NUM
ejpam-3667	365	3	]	]	PUNCT
ejpam-3667	365	4	h.	h.	PROPN
ejpam-3667	365	5	k.	k.	PROPN
ejpam-3667	365	6	nigam	nigam	PROPN
ejpam-3667	365	7	.	.	PUNCT
ejpam-3667	366	1	on	on	ADP
ejpam-3667	366	2	degree	degree	NOUN
ejpam-3667	366	3	of	of	ADP
ejpam-3667	366	4	approximation	approximation	NOUN
ejpam-3667	366	5	of	of	ADP
ejpam-3667	366	6	a	a	DET
ejpam-3667	366	7	function	function	NOUN
ejpam-3667	366	8	belonging	belong	VERB
ejpam-3667	366	9	to	to	ADP
ejpam-3667	366	10	lip(ξ	lip(ξ	PROPN
ejpam-3667	366	11	(	(	PUNCT
ejpam-3667	366	12	t	t	PROPN
ejpam-3667	366	13	)	)	PUNCT
ejpam-3667	366	14	,	,	PUNCT
ejpam-3667	366	15	r	r	NOUN
ejpam-3667	366	16	)	)	PUNCT
ejpam-3667	366	17	class	class	NOUN
ejpam-3667	366	18	by	by	ADP
ejpam-3667	366	19	(	(	PUNCT
ejpam-3667	366	20	e	e	NOUN
ejpam-3667	366	21	,	,	PUNCT
ejpam-3667	366	22	q)(c	q)(c	NUM
ejpam-3667	366	23	,	,	PUNCT
ejpam-3667	366	24	1	1	X
ejpam-3667	366	25	)	)	PUNCT
ejpam-3667	366	26	product	product	NOUN
ejpam-3667	366	27	means	mean	NOUN
ejpam-3667	366	28	of	of	ADP
ejpam-3667	366	29	fourier	fourier	ADJ
ejpam-3667	366	30	series	series	NOUN
ejpam-3667	366	31	.	.	PUNCT
ejpam-3667	367	1	commun	commun	PROPN
ejpam-3667	367	2	.	.	PUNCT
ejpam-3667	368	1	appl	appl	PROPN
ejpam-3667	368	2	.	.	PUNCT
ejpam-3667	369	1	anal	anal	PROPN
ejpam-3667	369	2	.	.	PROPN
ejpam-3667	369	3	,	,	PUNCT
ejpam-3667	369	4	14(4):607–614	14(4):607–614	NUM
ejpam-3667	369	5	,	,	PUNCT
ejpam-3667	369	6	2010	2010	NUM
ejpam-3667	369	7	.	.	PUNCT
ejpam-3667	370	1	[	[	X
ejpam-3667	370	2	13	13	NUM
ejpam-3667	370	3	]	]	PUNCT
ejpam-3667	370	4	h.	h.	PROPN
ejpam-3667	370	5	k.	k.	PROPN
ejpam-3667	370	6	nigam	nigam	PROPN
ejpam-3667	370	7	.	.	PUNCT
ejpam-3667	370	8	degree	degree	NOUN
ejpam-3667	370	9	of	of	ADP
ejpam-3667	370	10	approximation	approximation	NOUN
ejpam-3667	370	11	of	of	ADP
ejpam-3667	370	12	a	a	DET
ejpam-3667	370	13	function	function	NOUN
ejpam-3667	370	14	belonging	belong	VERB
ejpam-3667	370	15	to	to	ADP
ejpam-3667	370	16	weighted	weight	VERB
ejpam-3667	370	17	(	(	PUNCT
ejpam-3667	370	18	lr	lr	INTJ
ejpam-3667	370	19	,	,	PUNCT
ejpam-3667	370	20	ξ(t	ξ(t	NOUN
ejpam-3667	370	21	)	)	PUNCT
ejpam-3667	370	22	)	)	PUNCT
ejpam-3667	370	23	class	class	NOUN
ejpam-3667	370	24	by	by	ADP
ejpam-3667	370	25	(	(	PUNCT
ejpam-3667	370	26	c	c	NOUN
ejpam-3667	370	27	,	,	PUNCT
ejpam-3667	370	28	1)(e	1)(e	NUM
ejpam-3667	370	29	,	,	PUNCT
ejpam-3667	370	30	q	q	NOUN
ejpam-3667	370	31	)	)	PUNCT
ejpam-3667	370	32	means	mean	NOUN
ejpam-3667	370	33	.	.	PUNCT
ejpam-3667	371	1	tamkang	tamkang	PROPN
ejpam-3667	371	2	journal	journal	PROPN
ejpam-3667	371	3	of	of	ADP
ejpam-3667	371	4	mathematics	mathematic	NOUN
ejpam-3667	371	5	,	,	PUNCT
ejpam-3667	371	6	42(1):31–37	42(1):31–37	NOUN
ejpam-3667	371	7	,	,	PUNCT
ejpam-3667	371	8	2011	2011	NUM
ejpam-3667	371	9	.	.	PUNCT
ejpam-3667	372	1	[	[	X
ejpam-3667	372	2	14	14	NUM
ejpam-3667	372	3	]	]	PUNCT
ejpam-3667	372	4	h.	h.	PROPN
ejpam-3667	372	5	k.	k.	PROPN
ejpam-3667	372	6	nigam	nigam	PROPN
ejpam-3667	372	7	and	and	CCONJ
ejpam-3667	372	8	a.	a.	NOUN
ejpam-3667	372	9	sharma	sharma	PROPN
ejpam-3667	372	10	.	.	PUNCT
ejpam-3667	373	1	on	on	ADP
ejpam-3667	373	2	approximation	approximation	NOUN
ejpam-3667	373	3	of	of	ADP
ejpam-3667	373	4	functions	function	NOUN
ejpam-3667	373	5	belonging	belong	VERB
ejpam-3667	373	6	to	to	ADP
ejpam-3667	373	7	lip(α	lip(α	PROPN
ejpam-3667	373	8	,	,	PUNCT
ejpam-3667	373	9	r	r	NOUN
ejpam-3667	373	10	)	)	PUNCT
ejpam-3667	373	11	class	class	NOUN
ejpam-3667	373	12	and	and	CCONJ
ejpam-3667	373	13	to	to	PART
ejpam-3667	373	14	weighted	weight	VERB
ejpam-3667	373	15	w	w	PROPN
ejpam-3667	373	16	(	(	PUNCT
ejpam-3667	373	17	lr	lr	INTJ
ejpam-3667	373	18	,	,	PUNCT
ejpam-3667	373	19	ξ(t	ξ(t	NOUN
ejpam-3667	373	20	)	)	PUNCT
ejpam-3667	373	21	)	)	PUNCT
ejpam-3667	373	22	class	class	NOUN
ejpam-3667	373	23	by	by	ADP
ejpam-3667	373	24	product	product	NOUN
ejpam-3667	373	25	mean	mean	NOUN
ejpam-3667	373	26	.	.	PUNCT
ejpam-3667	374	1	kyungpook	kyungpook	PROPN
ejpam-3667	374	2	mathematical	mathematical	PROPN
ejpam-3667	374	3	journal	journal	PROPN
ejpam-3667	374	4	,	,	PUNCT
ejpam-3667	374	5	50(4):545–556	50(4):545–556	NOUN
ejpam-3667	374	6	,	,	PUNCT
ejpam-3667	374	7	2010	2010	NUM
ejpam-3667	374	8	.	.	PUNCT
ejpam-3667	375	1	[	[	X
ejpam-3667	375	2	15	15	NUM
ejpam-3667	375	3	]	]	X
ejpam-3667	375	4	h.	h.	PROPN
ejpam-3667	375	5	k.	k.	PROPN
ejpam-3667	375	6	nigam	nigam	PROPN
ejpam-3667	375	7	and	and	CCONJ
ejpam-3667	375	8	k.	k.	PROPN
ejpam-3667	375	9	sharma	sharma	PROPN
ejpam-3667	375	10	.	.	PUNCT
ejpam-3667	375	11	degree	degree	NOUN
ejpam-3667	375	12	of	of	ADP
ejpam-3667	375	13	approximation	approximation	NOUN
ejpam-3667	375	14	of	of	ADP
ejpam-3667	375	15	a	a	DET
ejpam-3667	375	16	class	class	NOUN
ejpam-3667	375	17	of	of	ADP
ejpam-3667	375	18	functions	function	NOUN
ejpam-3667	375	19	by	by	ADP
ejpam-3667	375	20	(	(	PUNCT
ejpam-3667	375	21	c	c	NOUN
ejpam-3667	375	22	,	,	PUNCT
ejpam-3667	375	23	1)(e	1)(e	NUM
ejpam-3667	375	24	,	,	PUNCT
ejpam-3667	375	25	q	q	NOUN
ejpam-3667	375	26	)	)	PUNCT
ejpam-3667	375	27	means	mean	NOUN
ejpam-3667	375	28	of	of	ADP
ejpam-3667	375	29	fourier	fouri	ADJ
ejpam-3667	375	30	series	series	NOUN
ejpam-3667	375	31	.	.	PUNCT
ejpam-3667	376	1	int	int	NOUN
ejpam-3667	376	2	.	.	PUNCT
ejpam-3667	377	1	j.	j.	PROPN
ejpam-3667	377	2	appl	appl	PROPN
ejpam-3667	377	3	.	.	PROPN
ejpam-3667	377	4	math	math	PROPN
ejpam-3667	377	5	,	,	PUNCT
ejpam-3667	377	6	41(2	41(2	NUM
ejpam-3667	377	7	)	)	PUNCT
ejpam-3667	377	8	,	,	PUNCT
ejpam-3667	377	9	2011	2011	NUM
ejpam-3667	377	10	.	.	PUNCT
ejpam-3667	378	1	[	[	X
ejpam-3667	378	2	16	16	NUM
ejpam-3667	378	3	]	]	PUNCT
ejpam-3667	378	4	h.	h.	PROPN
ejpam-3667	378	5	k.	k.	PROPN
ejpam-3667	378	6	nigam	nigam	PROPN
ejpam-3667	378	7	and	and	CCONJ
ejpam-3667	378	8	k.	k.	PROPN
ejpam-3667	378	9	sharma	sharma	PROPN
ejpam-3667	378	10	.	.	PUNCT
ejpam-3667	378	11	degree	degree	NOUN
ejpam-3667	378	12	of	of	ADP
ejpam-3667	378	13	approximation	approximation	NOUN
ejpam-3667	378	14	of	of	ADP
ejpam-3667	378	15	a	a	DET
ejpam-3667	378	16	function	function	NOUN
ejpam-3667	378	17	belonging	belong	VERB
ejpam-3667	378	18	to	to	ADP
ejpam-3667	378	19	lip(ξ(t	lip(ξ(t	NOUN
ejpam-3667	378	20	)	)	PUNCT
ejpam-3667	378	21	;	;	PUNCT
ejpam-3667	378	22	r	r	X
ejpam-3667	378	23	)	)	PUNCT
ejpam-3667	378	24	class	class	NOUN
ejpam-3667	378	25	by	by	ADP
ejpam-3667	378	26	(	(	PUNCT
ejpam-3667	378	27	e	e	NOUN
ejpam-3667	378	28	;	;	PUNCT
ejpam-3667	378	29	1)(c	1)(c	NUM
ejpam-3667	378	30	;	;	PUNCT
ejpam-3667	378	31	1	1	X
ejpam-3667	378	32	)	)	PUNCT
ejpam-3667	378	33	product	product	NOUN
ejpam-3667	378	34	means	mean	VERB
ejpam-3667	378	35	.	.	PUNCT
ejpam-3667	379	1	international	international	ADJ
ejpam-3667	379	2	journal	journal	NOUN
ejpam-3667	379	3	of	of	ADP
ejpam-3667	379	4	pure	pure	ADJ
ejpam-3667	379	5	and	and	CCONJ
ejpam-3667	379	6	applied	applied	ADJ
ejpam-3667	379	7	mathematics	mathematic	NOUN
ejpam-3667	379	8	,	,	PUNCT
ejpam-3667	379	9	70(6):775–784	70(6):775–784	PROPN
ejpam-3667	379	10	,	,	PUNCT
ejpam-3667	379	11	2011	2011	NUM
ejpam-3667	379	12	.	.	PUNCT
ejpam-3667	380	1	references	reference	NOUN
ejpam-3667	380	2	368	368	NUM
ejpam-3667	381	1	[	[	X
ejpam-3667	381	2	17	17	NUM
ejpam-3667	381	3	]	]	PUNCT
ejpam-3667	381	4	j.	j.	PROPN
ejpam-3667	381	5	boos	boos	PROPN
ejpam-3667	381	6	and	and	CCONJ
ejpam-3667	381	7	p.	p.	PROPN
ejpam-3667	381	8	cass	cass	PROPN
ejpam-3667	382	1	.	.	PUNCT
ejpam-3667	383	1	classical	classical	ADJ
ejpam-3667	383	2	and	and	CCONJ
ejpam-3667	383	3	modern	modern	ADJ
ejpam-3667	383	4	methods	method	NOUN
ejpam-3667	383	5	in	in	ADP
ejpam-3667	383	6	summability	summability	NOUN
ejpam-3667	383	7	.	.	PUNCT
ejpam-3667	384	1	oxford	oxford	PROPN
ejpam-3667	384	2	university	university	PROPN
ejpam-3667	384	3	press	press	NOUN
ejpam-3667	384	4	,	,	PUNCT
ejpam-3667	384	5	new	new	PROPN
ejpam-3667	384	6	york	york	PROPN
ejpam-3667	384	7	,	,	PUNCT
ejpam-3667	384	8	2000	2000	NUM
ejpam-3667	384	9	.	.	PUNCT
ejpam-3667	385	1	[	[	X
ejpam-3667	385	2	18	18	NUM
ejpam-3667	385	3	]	]	PUNCT
ejpam-3667	385	4	j.	j.	PROPN
ejpam-3667	385	5	p.	p.	PROPN
ejpam-3667	385	6	kushwaha	kushwaha	PROPN
ejpam-3667	386	1	and	and	CCONJ
ejpam-3667	386	2	b.	b.	PROPN
ejpam-3667	386	3	p.	p.	PROPN
ejpam-3667	386	4	dhakal	dhakal	PROPN
ejpam-3667	386	5	.	.	PUNCT
ejpam-3667	387	1	approximation	approximation	NOUN
ejpam-3667	387	2	of	of	ADP
ejpam-3667	387	3	a	a	DET
ejpam-3667	387	4	function	function	NOUN
ejpam-3667	387	5	belonging	belong	VERB
ejpam-3667	387	6	to	to	ADP
ejpam-3667	387	7	lip((α	lip((α	PROPN
ejpam-3667	387	8	,	,	PUNCT
ejpam-3667	387	9	r	r	NOUN
ejpam-3667	387	10	)	)	PUNCT
ejpam-3667	387	11	class	class	NOUN
ejpam-3667	387	12	by	by	ADP
ejpam-3667	387	13	(	(	PUNCT
ejpam-3667	387	14	n	n	CCONJ
ejpam-3667	387	15	,	,	PUNCT
ejpam-3667	387	16	p	p	X
ejpam-3667	387	17	,	,	PUNCT
ejpam-3667	387	18	q)c1	q)c1	PROPN
ejpam-3667	387	19	summability	summability	NOUN
ejpam-3667	387	20	method	method	NOUN
ejpam-3667	387	21	of	of	ADP
ejpam-3667	387	22	its	its	PRON
ejpam-3667	387	23	fourier	fourier	NOUN
ejpam-3667	387	24	series	series	NOUN
ejpam-3667	387	25	.	.	PUNCT
ejpam-3667	388	1	nepal	nepal	PROPN
ejpam-3667	388	2	journal	journal	PROPN
ejpam-3667	388	3	of	of	ADP
ejpam-3667	388	4	science	science	NOUN
ejpam-3667	388	5	and	and	CCONJ
ejpam-3667	388	6	technology	technology	NOUN
ejpam-3667	388	7	,	,	PUNCT
ejpam-3667	388	8	14(2):117–122	14(2):117–122	PROPN
ejpam-3667	388	9	,	,	PUNCT
ejpam-3667	388	10	2013	2013	NUM
ejpam-3667	388	11	.	.	PUNCT
ejpam-3667	389	1	[	[	X
ejpam-3667	389	2	19	19	NUM
ejpam-3667	389	3	]	]	PUNCT
ejpam-3667	389	4	k.	k.	PROPN
ejpam-3667	389	5	qureshi	qureshi	PROPN
ejpam-3667	389	6	.	.	PUNCT
ejpam-3667	390	1	on	on	ADP
ejpam-3667	390	2	the	the	DET
ejpam-3667	390	3	degree	degree	NOUN
ejpam-3667	390	4	of	of	ADP
ejpam-3667	390	5	approximation	approximation	NOUN
ejpam-3667	390	6	of	of	ADP
ejpam-3667	390	7	a	a	DET
ejpam-3667	390	8	periodic	periodic	ADJ
ejpam-3667	390	9	function	function	NOUN
ejpam-3667	390	10	f	f	NOUN
ejpam-3667	390	11	by	by	ADP
ejpam-3667	390	12	almost	almost	ADV
ejpam-3667	390	13	nörlund	nörlund	NOUN
ejpam-3667	390	14	means	mean	NOUN
ejpam-3667	390	15	.	.	PUNCT
ejpam-3667	391	1	tamkang	tamkang	PROPN
ejpam-3667	391	2	j.	j.	PROPN
ejpam-3667	391	3	math	math	PROPN
ejpam-3667	391	4	,	,	PUNCT
ejpam-3667	391	5	12(1):35–38	12(1):35–38	NUM
ejpam-3667	391	6	,	,	PUNCT
ejpam-3667	391	7	1981	1981	NUM
ejpam-3667	391	8	.	.	PUNCT
ejpam-3667	392	1	[	[	X
ejpam-3667	392	2	20	20	NUM
ejpam-3667	392	3	]	]	PUNCT
ejpam-3667	392	4	k.	k.	PROPN
ejpam-3667	392	5	qureshi	qureshi	PROPN
ejpam-3667	392	6	.	.	PUNCT
ejpam-3667	393	1	on	on	ADP
ejpam-3667	393	2	the	the	DET
ejpam-3667	393	3	degree	degree	NOUN
ejpam-3667	393	4	of	of	ADP
ejpam-3667	393	5	approximation	approximation	NOUN
ejpam-3667	393	6	of	of	ADP
ejpam-3667	393	7	functions	function	NOUN
ejpam-3667	393	8	belonging	belong	VERB
ejpam-3667	393	9	to	to	ADP
ejpam-3667	393	10	the	the	DET
ejpam-3667	393	11	class	class	NOUN
ejpam-3667	393	12	lipα	lipα	PROPN
ejpam-3667	393	13	.	.	PUNCT
ejpam-3667	394	1	indian	indian	PROPN
ejpam-3667	394	2	journal	journal	PROPN
ejpam-3667	394	3	of	of	ADP
ejpam-3667	394	4	pure	pure	ADJ
ejpam-3667	394	5	and	and	CCONJ
ejpam-3667	394	6	applied	applied	ADJ
ejpam-3667	394	7	mathematics	mathematic	NOUN
ejpam-3667	394	8	,	,	PUNCT
ejpam-3667	394	9	13(8):898–903	13(8):898–903	PROPN
ejpam-3667	394	10	,	,	PUNCT
ejpam-3667	394	11	1982	1982	NUM
ejpam-3667	394	12	.	.	PUNCT
ejpam-3667	395	1	[	[	X
ejpam-3667	395	2	21	21	NUM
ejpam-3667	395	3	]	]	PUNCT
ejpam-3667	395	4	k.	k.	PROPN
ejpam-3667	395	5	qureshi	qureshi	PROPN
ejpam-3667	395	6	and	and	CCONJ
ejpam-3667	395	7	h.	h.	PROPN
ejpam-3667	395	8	k.	k.	PROPN
ejpam-3667	395	9	neha	neha	PROPN
ejpam-3667	395	10	.	.	PUNCT
ejpam-3667	396	1	a	a	DET
ejpam-3667	396	2	class	class	NOUN
ejpam-3667	396	3	of	of	ADP
ejpam-3667	396	4	functions	function	NOUN
ejpam-3667	396	5	and	and	CCONJ
ejpam-3667	396	6	their	their	PRON
ejpam-3667	396	7	degree	degree	NOUN
ejpam-3667	396	8	of	of	ADP
ejpam-3667	396	9	approximation	approximation	NOUN
ejpam-3667	396	10	.	.	PUNCT
ejpam-3667	397	1	ganita	ganita	PROPN
ejpam-3667	397	2	,	,	PUNCT
ejpam-3667	397	3	41(1):37–42	41(1):37–42	NUM
ejpam-3667	397	4	,	,	PUNCT
ejpam-3667	397	5	1990	1990	NUM
ejpam-3667	397	6	.	.	PUNCT
ejpam-3667	398	1	[	[	X
ejpam-3667	398	2	22	22	NUM
ejpam-3667	398	3	]	]	PUNCT
ejpam-3667	398	4	k.	k.	PROPN
ejpam-3667	398	5	s.	s.	PROPN
ejpam-3667	398	6	tiwari	tiwari	PROPN
ejpam-3667	398	7	and	and	CCONJ
ejpam-3667	398	8	c.	c.	PROPN
ejpam-3667	398	9	s.	s.	PROPN
ejpam-3667	398	10	bariwal	bariwal	PROPN
ejpam-3667	398	11	.	.	PUNCT
ejpam-3667	399	1	the	the	DET
ejpam-3667	399	2	degree	degree	NOUN
ejpam-3667	399	3	of	of	ADP
ejpam-3667	399	4	approximation	approximation	NOUN
ejpam-3667	399	5	of	of	ADP
ejpam-3667	399	6	functions	function	NOUN
ejpam-3667	399	7	in	in	ADP
ejpam-3667	399	8	the	the	DET
ejpam-3667	399	9	hölder	hölder	NOUN
ejpam-3667	399	10	metric	metric	NOUN
ejpam-3667	399	11	by	by	ADP
ejpam-3667	399	12	triangular	triangular	NOUN
ejpam-3667	399	13	matrix	matrix	NOUN
ejpam-3667	399	14	method	method	NOUN
ejpam-3667	399	15	of	of	ADP
ejpam-3667	399	16	fourier	fourier	ADJ
ejpam-3667	399	17	series	series	NOUN
ejpam-3667	399	18	.	.	PUNCT
ejpam-3667	400	1	int	int	PROPN
ejpam-3667	400	2	.	.	PUNCT
ejpam-3667	401	1	j.	j.	PROPN
ejpam-3667	401	2	pure	pure	PROPN
ejpam-3667	401	3	appl	appl	PROPN
ejpam-3667	401	4	.	.	PUNCT
ejpam-3667	401	5	math	math	PROPN
ejpam-3667	401	6	,	,	PUNCT
ejpam-3667	401	7	76(2):227–232	76(2):227–232	NOUN
ejpam-3667	401	8	,	,	PUNCT
ejpam-3667	401	9	2012	2012	NUM
ejpam-3667	401	10	.	.	PUNCT
ejpam-3667	402	1	[	[	X
ejpam-3667	402	2	23	23	NUM
ejpam-3667	402	3	]	]	X
ejpam-3667	402	4	l.	l.	PROPN
ejpam-3667	402	5	leindler	leindler	PROPN
ejpam-3667	402	6	.	.	PUNCT
ejpam-3667	403	1	trigonometric	trigonometric	ADJ
ejpam-3667	403	2	approximation	approximation	NOUN
ejpam-3667	403	3	in	in	ADP
ejpam-3667	403	4	lp	lp	ADJ
ejpam-3667	403	5	-	-	PUNCT
ejpam-3667	403	6	norm	norm	NOUN
ejpam-3667	403	7	.	.	PUNCT
ejpam-3667	404	1	journal	journal	PROPN
ejpam-3667	404	2	of	of	ADP
ejpam-3667	404	3	mathematical	mathematical	ADJ
ejpam-3667	404	4	analysis	analysis	NOUN
ejpam-3667	404	5	and	and	CCONJ
ejpam-3667	404	6	applications	application	NOUN
ejpam-3667	404	7	,	,	PUNCT
ejpam-3667	404	8	302(1):129–136	302(1):129–136	NUM
ejpam-3667	404	9	,	,	PUNCT
ejpam-3667	404	10	2005	2005	NUM
ejpam-3667	404	11	.	.	PUNCT
ejpam-3667	405	1	[	[	X
ejpam-3667	405	2	24	24	NUM
ejpam-3667	405	3	]	]	X
ejpam-3667	405	4	o.	o.	NOUN
ejpam-3667	405	5	toeplitz	toeplitz	PROPN
ejpam-3667	405	6	.	.	PUNCT
ejpam-3667	406	1	über	über	PROPN
ejpam-3667	407	1	allgemeine	allgemeine	PROPN
ejpam-3667	407	2	lineare	lineare	PROPN
ejpam-3667	407	3	mittelbildungen	mittelbildungen	NOUN
ejpam-3667	407	4	.	.	PUNCT
ejpam-3667	408	1	prace	prace	PROPN
ejpam-3667	408	2	matematyczno	matematyczno	PROPN
ejpam-3667	408	3	-	-	PUNCT
ejpam-3667	408	4	fizyczne	fizyczne	NOUN
ejpam-3667	408	5	,	,	PUNCT
ejpam-3667	408	6	22(1):113–119	22(1):113–119	PROPN
ejpam-3667	408	7	,	,	PUNCT
ejpam-3667	408	8	1911	1911	NUM
ejpam-3667	408	9	.	.	PUNCT
ejpam-3667	409	1	[	[	X
ejpam-3667	409	2	25	25	NUM
ejpam-3667	409	3	]	]	X
ejpam-3667	409	4	p.	p.	PROPN
ejpam-3667	409	5	chandra	chandra	PROPN
ejpam-3667	409	6	.	.	PUNCT
ejpam-3667	410	1	trigonometric	trigonometric	ADJ
ejpam-3667	410	2	approximation	approximation	NOUN
ejpam-3667	410	3	of	of	ADP
ejpam-3667	410	4	functions	function	NOUN
ejpam-3667	410	5	in	in	ADP
ejpam-3667	410	6	lp	lp	NOUN
ejpam-3667	410	7	-	-	PUNCT
ejpam-3667	410	8	norm	norm	NOUN
ejpam-3667	410	9	.	.	PUNCT
ejpam-3667	411	1	journal	journal	PROPN
ejpam-3667	411	2	of	of	ADP
ejpam-3667	411	3	mathematical	mathematical	ADJ
ejpam-3667	411	4	analysis	analysis	NOUN
ejpam-3667	411	5	and	and	CCONJ
ejpam-3667	411	6	applications	application	NOUN
ejpam-3667	411	7	,	,	PUNCT
ejpam-3667	411	8	275(1):13–26	275(1):13–26	NOUN
ejpam-3667	411	9	,	,	PUNCT
ejpam-3667	411	10	2002	2002	NUM
ejpam-3667	411	11	.	.	PUNCT
ejpam-3667	412	1	[	[	X
ejpam-3667	412	2	26	26	NUM
ejpam-3667	412	3	]	]	PUNCT
ejpam-3667	412	4	s.	s.	PROPN
ejpam-3667	412	5	k.	k.	PROPN
ejpam-3667	412	6	tiwari	tiwari	PROPN
ejpam-3667	412	7	and	and	CCONJ
ejpam-3667	412	8	c.	c.	PROPN
ejpam-3667	412	9	s.	s.	PROPN
ejpam-3667	412	10	bariwal	bariwal	PROPN
ejpam-3667	412	11	.	.	PUNCT
ejpam-3667	412	12	degree	degree	NOUN
ejpam-3667	412	13	of	of	ADP
ejpam-3667	412	14	approximation	approximation	NOUN
ejpam-3667	412	15	of	of	ADP
ejpam-3667	412	16	function	function	NOUN
ejpam-3667	412	17	belonging	belong	VERB
ejpam-3667	412	18	to	to	ADP
ejpam-3667	412	19	the	the	DET
ejpam-3667	412	20	lipschitz	lipschitz	NOUN
ejpam-3667	412	21	class	class	NOUN
ejpam-3667	412	22	by	by	ADP
ejpam-3667	412	23	almost	almost	ADV
ejpam-3667	412	24	(	(	PUNCT
ejpam-3667	412	25	e	e	NOUN
ejpam-3667	412	26	,	,	PUNCT
ejpam-3667	412	27	q)(c	q)(c	NUM
ejpam-3667	412	28	,	,	PUNCT
ejpam-3667	412	29	1	1	X
ejpam-3667	412	30	)	)	PUNCT
ejpam-3667	412	31	means	mean	NOUN
ejpam-3667	412	32	of	of	ADP
ejpam-3667	412	33	its	its	PRON
ejpam-3667	412	34	fourier	fourier	NOUN
ejpam-3667	412	35	series	series	NOUN
ejpam-3667	412	36	.	.	PUNCT
ejpam-3667	413	1	int	int	NOUN
ejpam-3667	413	2	.	.	PUNCT
ejpam-3667	414	1	j.	j.	PROPN
ejpam-3667	414	2	math	math	PROPN
ejpam-3667	414	3	.	.	PUNCT
ejpam-3667	415	1	archive	archive	PROPN
ejpam-3667	415	2	,	,	PUNCT
ejpam-3667	415	3	1(1):2–4	1(1):2–4	NOUN
ejpam-3667	415	4	,	,	PUNCT
ejpam-3667	415	5	2010	2010	NUM
ejpam-3667	415	6	.	.	PUNCT
ejpam-3667	416	1	[	[	X
ejpam-3667	416	2	27	27	NUM
ejpam-3667	416	3	]	]	X
ejpam-3667	416	4	s.	s.	PROPN
ejpam-3667	416	5	lal	lal	PROPN
ejpam-3667	416	6	.	.	PUNCT
ejpam-3667	417	1	approximation	approximation	NOUN
ejpam-3667	417	2	of	of	ADP
ejpam-3667	417	3	functions	function	NOUN
ejpam-3667	417	4	belonging	belong	VERB
ejpam-3667	417	5	to	to	ADP
ejpam-3667	417	6	the	the	DET
ejpam-3667	417	7	generalized	generalize	VERB
ejpam-3667	417	8	lipschitz	lipschitz	NOUN
ejpam-3667	417	9	class	class	NOUN
ejpam-3667	417	10	by	by	ADP
ejpam-3667	417	11	c1np	c1np	VERB
ejpam-3667	417	12	summability	summability	NOUN
ejpam-3667	417	13	method	method	NOUN
ejpam-3667	417	14	of	of	ADP
ejpam-3667	417	15	fourier	fourier	ADJ
ejpam-3667	417	16	series	series	NOUN
ejpam-3667	417	17	.	.	PUNCT
ejpam-3667	418	1	applied	apply	VERB
ejpam-3667	418	2	mathematics	mathematic	NOUN
ejpam-3667	418	3	and	and	CCONJ
ejpam-3667	418	4	computation	computation	NOUN
ejpam-3667	418	5	,	,	PUNCT
ejpam-3667	418	6	209(2):346–350	209(2):346–350	NUM
ejpam-3667	418	7	,	,	PUNCT
ejpam-3667	418	8	2009	2009	NUM
ejpam-3667	418	9	.	.	PUNCT
ejpam-3667	419	1	[	[	X
ejpam-3667	419	2	28	28	NUM
ejpam-3667	419	3	]	]	X
ejpam-3667	419	4	s.	s.	PROPN
ejpam-3667	419	5	lal	lal	PROPN
ejpam-3667	419	6	and	and	CCONJ
ejpam-3667	419	7	a.	a.	PROPN
ejpam-3667	419	8	mishra	mishra	PROPN
ejpam-3667	419	9	.	.	PUNCT
ejpam-3667	420	1	the	the	DET
ejpam-3667	420	2	method	method	NOUN
ejpam-3667	420	3	of	of	ADP
ejpam-3667	420	4	summation	summation	NOUN
ejpam-3667	420	5	(	(	PUNCT
ejpam-3667	420	6	e	e	NOUN
ejpam-3667	420	7	,	,	PUNCT
ejpam-3667	420	8	1)(n	1)(n	NUM
ejpam-3667	420	9	,	,	PUNCT
ejpam-3667	420	10	pn	pn	NOUN
ejpam-3667	420	11	)	)	PUNCT
ejpam-3667	420	12	and	and	CCONJ
ejpam-3667	420	13	trigonometric	trigonometric	ADJ
ejpam-3667	420	14	approximation	approximation	NOUN
ejpam-3667	420	15	of	of	ADP
ejpam-3667	420	16	function	function	NOUN
ejpam-3667	420	17	in	in	ADP
ejpam-3667	420	18	generalized	generalized	ADJ
ejpam-3667	420	19	hölder	hölder	NOUN
ejpam-3667	420	20	metric	metric	NOUN
ejpam-3667	420	21	.	.	PUNCT
ejpam-3667	421	1	j.	j.	PROPN
ejpam-3667	421	2	indian	indian	PROPN
ejpam-3667	421	3	math	math	PROPN
ejpam-3667	421	4	.	.	PUNCT
ejpam-3667	422	1	soc	soc	PROPN
ejpam-3667	422	2	,	,	PUNCT
ejpam-3667	422	3	80(12):87–98	80(12):87–98	NUM
ejpam-3667	422	4	,	,	PUNCT
ejpam-3667	422	5	2013	2013	NUM
ejpam-3667	422	6	.	.	PUNCT
ejpam-3667	423	1	[	[	X
ejpam-3667	423	2	29	29	NUM
ejpam-3667	423	3	]	]	X
ejpam-3667	423	4	s.	s.	PROPN
ejpam-3667	423	5	lal	lal	PROPN
ejpam-3667	423	6	and	and	CCONJ
ejpam-3667	423	7	j.	j.	PROPN
ejpam-3667	423	8	k.	k.	PROPN
ejpam-3667	423	9	kushwaha	kushwaha	PROPN
ejpam-3667	423	10	.	.	PUNCT
ejpam-3667	424	1	degree	degree	NOUN
ejpam-3667	424	2	of	of	ADP
ejpam-3667	424	3	approximation	approximation	NOUN
ejpam-3667	424	4	of	of	ADP
ejpam-3667	424	5	lipschitz	lipschitz	NOUN
ejpam-3667	424	6	function	function	NOUN
ejpam-3667	424	7	by	by	ADP
ejpam-3667	424	8	product	product	NOUN
ejpam-3667	424	9	summability	summability	NOUN
ejpam-3667	424	10	method	method	NOUN
ejpam-3667	424	11	.	.	PUNCT
ejpam-3667	425	1	in	in	ADP
ejpam-3667	425	2	international	international	ADJ
ejpam-3667	425	3	mathematical	mathematical	ADJ
ejpam-3667	425	4	forum	forum	PROPN
ejpam-3667	425	5	,	,	PUNCT
ejpam-3667	425	6	volume	volume	NOUN
ejpam-3667	425	7	4	4	NUM
ejpam-3667	425	8	,	,	PUNCT
ejpam-3667	425	9	pages	page	NOUN
ejpam-3667	425	10	2101	2101	NUM
ejpam-3667	425	11	–	–	PUNCT
ejpam-3667	425	12	2107	2107	NUM
ejpam-3667	425	13	,	,	PUNCT
ejpam-3667	425	14	2009	2009	NUM
ejpam-3667	425	15	.	.	PUNCT
ejpam-3667	426	1	[	[	X
ejpam-3667	426	2	30	30	NUM
ejpam-3667	426	3	]	]	X
ejpam-3667	426	4	u.	u.	PROPN
ejpam-3667	426	5	k.	k.	PROPN
ejpam-3667	426	6	shrivastava	shrivastava	PROPN
ejpam-3667	426	7	and	and	CCONJ
ejpam-3667	426	8	c.	c.	PROPN
ejpam-3667	426	9	s.	s.	PROPN
ejpam-3667	426	10	rathore	rathore	PROPN
ejpam-3667	426	11	and	and	CCONJ
ejpam-3667	426	12	s.	s.	PROPN
ejpam-3667	426	13	shukla	shukla	PROPN
ejpam-3667	426	14	.	.	PUNCT
ejpam-3667	427	1	approximation	approximation	NOUN
ejpam-3667	427	2	of	of	ADP
ejpam-3667	427	3	function	function	NOUN
ejpam-3667	427	4	belonging	belong	VERB
ejpam-3667	427	5	to	to	ADP
ejpam-3667	427	6	the	the	DET
ejpam-3667	427	7	lip(ψ(t),p	lip(ψ(t),p	ADJ
ejpam-3667	427	8	)	)	PUNCT
ejpam-3667	427	9	class	class	NOUN
ejpam-3667	427	10	by	by	ADP
ejpam-3667	427	11	matrix	matrix	NOUN
ejpam-3667	427	12	-	-	PUNCT
ejpam-3667	427	13	cesàro	cesàro	NOUN
ejpam-3667	427	14	summability	summability	NOUN
ejpam-3667	427	15	method	method	NOUN
ejpam-3667	427	16	.	.	PUNCT
ejpam-3667	428	1	iosr	iosr	ADJ
ejpam-3667	428	2	journal	journal	PROPN
ejpam-3667	428	3	of	of	ADP
ejpam-3667	428	4	mathematics	mathematic	NOUN
ejpam-3667	428	5	,	,	PUNCT
ejpam-3667	428	6	10(1):2278–3008	10(1):2278–3008	PROPN
ejpam-3667	428	7	,	,	PUNCT
ejpam-3667	428	8	2014	2014	NUM
ejpam-3667	428	9	.	.	PUNCT