id	sid	tid	token	lemma	pos
ejpam-5345	1	1	european	european	PROPN
ejpam-5345	1	2	journal	journal	PROPN
ejpam-5345	1	3	of	of	ADP
ejpam-5345	1	4	pure	pure	ADJ
ejpam-5345	1	5	and	and	CCONJ
ejpam-5345	1	6	applied	apply	VERB
ejpam-5345	1	7	mathematics	mathematic	NOUN
ejpam-5345	1	8	vol	vol	NOUN
ejpam-5345	1	9	.	.	PROPN
ejpam-5345	2	1	17	17	NUM
ejpam-5345	2	2	,	,	PUNCT
ejpam-5345	2	3	no	no	INTJ
ejpam-5345	2	4	.	.	NOUN
ejpam-5345	2	5	4	4	NUM
ejpam-5345	2	6	,	,	PUNCT
ejpam-5345	2	7	2024	2024	NUM
ejpam-5345	2	8	,	,	PUNCT
ejpam-5345	2	9	2516	2516	NUM
ejpam-5345	2	10	-	-	SYM
ejpam-5345	2	11	2537	2537	NUM
ejpam-5345	2	12	issn	issn	PROPN
ejpam-5345	2	13	1307	1307	NUM
ejpam-5345	2	14	-	-	SYM
ejpam-5345	2	15	5543	5543	NUM
ejpam-5345	2	16	–	–	PUNCT
ejpam-5345	2	17	ejpam.com	ejpam.com	X
ejpam-5345	2	18	published	publish	VERB
ejpam-5345	2	19	by	by	ADP
ejpam-5345	2	20	new	new	PROPN
ejpam-5345	2	21	york	york	PROPN
ejpam-5345	2	22	business	business	PROPN
ejpam-5345	2	23	global	global	VERB
ejpam-5345	2	24	some	some	DET
ejpam-5345	2	25	new	new	ADJ
ejpam-5345	2	26	applications	application	NOUN
ejpam-5345	2	27	of	of	ADP
ejpam-5345	2	28	the	the	DET
ejpam-5345	2	29	quantum	quantum	ADJ
ejpam-5345	2	30	calculus	calculus	NOUN
ejpam-5345	2	31	for	for	ADP
ejpam-5345	2	32	new	new	ADJ
ejpam-5345	2	33	families	family	NOUN
ejpam-5345	2	34	of	of	ADP
ejpam-5345	2	35	sigmoid	sigmoid	NOUN
ejpam-5345	2	36	activation	activation	NOUN
ejpam-5345	2	37	bi	bi	ADJ
ejpam-5345	2	38	-	-	ADJ
ejpam-5345	2	39	univalent	univalent	ADJ
ejpam-5345	2	40	functions	function	NOUN
ejpam-5345	2	41	connected	connect	VERB
ejpam-5345	2	42	to	to	ADP
ejpam-5345	2	43	horadam	horadam	PROPN
ejpam-5345	2	44	polynomials	polynomial	NOUN
ejpam-5345	2	45	nidhish	nidhish	PROPN
ejpam-5345	2	46	kumar	kumar	PROPN
ejpam-5345	2	47	mishra1	mishra1	PROPN
ejpam-5345	2	48	,	,	PUNCT
ejpam-5345	2	49	mohammad	mohammad	PROPN
ejpam-5345	2	50	faisal	faisal	PROPN
ejpam-5345	2	51	khan1,∗	khan1,∗	PROPN
ejpam-5345	2	52	,	,	PUNCT
ejpam-5345	2	53	showkat	showkat	PROPN
ejpam-5345	2	54	ahmad	ahmad	PROPN
ejpam-5345	2	55	lone1	lone1	PROPN
ejpam-5345	2	56	1	1	PROPN
ejpam-5345	2	57	department	department	NOUN
ejpam-5345	2	58	of	of	ADP
ejpam-5345	2	59	basic	basic	ADJ
ejpam-5345	2	60	sciences	science	NOUN
ejpam-5345	2	61	,	,	PUNCT
ejpam-5345	2	62	college	college	NOUN
ejpam-5345	2	63	of	of	ADP
ejpam-5345	2	64	science	science	NOUN
ejpam-5345	2	65	and	and	CCONJ
ejpam-5345	2	66	theoretical	theoretical	ADJ
ejpam-5345	2	67	studies	study	NOUN
ejpam-5345	2	68	,	,	PUNCT
ejpam-5345	2	69	saudi	saudi	ADJ
ejpam-5345	2	70	electronic	electronic	ADJ
ejpam-5345	2	71	university	university	NOUN
ejpam-5345	2	72	,	,	PUNCT
ejpam-5345	2	73	riyadh11673	riyadh11673	PROPN
ejpam-5345	2	74	,	,	PUNCT
ejpam-5345	2	75	kingdom	kingdom	NOUN
ejpam-5345	2	76	of	of	ADP
ejpam-5345	2	77	saudi	saudi	PROPN
ejpam-5345	2	78	arabia	arabia	PROPN
ejpam-5345	2	79	abstract	abstract	NOUN
ejpam-5345	2	80	.	.	PUNCT
ejpam-5345	3	1	the	the	DET
ejpam-5345	3	2	study	study	NOUN
ejpam-5345	3	3	of	of	ADP
ejpam-5345	3	4	q	q	NOUN
ejpam-5345	3	5	-	-	PUNCT
ejpam-5345	3	6	calculus	calculus	NOUN
ejpam-5345	3	7	is	be	AUX
ejpam-5345	3	8	becoming	become	VERB
ejpam-5345	3	9	increasingly	increasingly	ADV
ejpam-5345	3	10	prominent	prominent	ADJ
ejpam-5345	3	11	in	in	ADP
ejpam-5345	3	12	the	the	DET
ejpam-5345	3	13	field	field	NOUN
ejpam-5345	3	14	of	of	ADP
ejpam-5345	3	15	geometric	geometric	ADJ
ejpam-5345	3	16	function	function	NOUN
ejpam-5345	3	17	theory	theory	NOUN
ejpam-5345	3	18	,	,	PUNCT
ejpam-5345	3	19	reflecting	reflect	VERB
ejpam-5345	3	20	a	a	DET
ejpam-5345	3	21	growing	grow	VERB
ejpam-5345	3	22	interest	interest	NOUN
ejpam-5345	3	23	in	in	ADP
ejpam-5345	3	24	its	its	PRON
ejpam-5345	3	25	applications	application	NOUN
ejpam-5345	3	26	.	.	PUNCT
ejpam-5345	4	1	in	in	ADP
ejpam-5345	4	2	this	this	DET
ejpam-5345	4	3	research	research	NOUN
ejpam-5345	4	4	work	work	NOUN
ejpam-5345	4	5	,	,	PUNCT
ejpam-5345	4	6	we	we	PRON
ejpam-5345	4	7	first	first	ADV
ejpam-5345	4	8	develop	develop	VERB
ejpam-5345	4	9	a	a	DET
ejpam-5345	4	10	new	new	ADJ
ejpam-5345	4	11	type	type	NOUN
ejpam-5345	4	12	of	of	ADP
ejpam-5345	4	13	modified	modified	ADJ
ejpam-5345	4	14	sigmoid	sigmoid	NOUN
ejpam-5345	4	15	-	-	PUNCT
ejpam-5345	4	16	salagean	salagean	ADJ
ejpam-5345	4	17	q	q	ADJ
ejpam-5345	4	18	-	-	PUNCT
ejpam-5345	4	19	differential	differential	ADJ
ejpam-5345	4	20	operator	operator	NOUN
ejpam-5345	4	21	in	in	ADP
ejpam-5345	4	22	the	the	DET
ejpam-5345	4	23	open	open	ADJ
ejpam-5345	4	24	unit	unit	NOUN
ejpam-5345	4	25	disk	disk	NOUN
ejpam-5345	4	26	d	d	PROPN
ejpam-5345	4	27	,	,	PUNCT
ejpam-5345	4	28	utilizing	utilize	VERB
ejpam-5345	4	29	the	the	DET
ejpam-5345	4	30	concepts	concept	NOUN
ejpam-5345	4	31	of	of	ADP
ejpam-5345	4	32	quantum	quantum	NOUN
ejpam-5345	4	33	calculus	calculus	NOUN
ejpam-5345	4	34	and	and	CCONJ
ejpam-5345	4	35	the	the	DET
ejpam-5345	4	36	sigmoid	sigmoid	NOUN
ejpam-5345	4	37	activation	activation	NOUN
ejpam-5345	4	38	function	function	NOUN
ejpam-5345	4	39	.	.	PUNCT
ejpam-5345	5	1	using	use	VERB
ejpam-5345	5	2	this	this	DET
ejpam-5345	5	3	newly	newly	ADV
ejpam-5345	5	4	defined	define	VERB
ejpam-5345	5	5	q	q	ADJ
ejpam-5345	5	6	-	-	ADJ
ejpam-5345	5	7	analogous	analogous	ADJ
ejpam-5345	5	8	differential	differential	NOUN
ejpam-5345	5	9	operator	operator	NOUN
ejpam-5345	5	10	and	and	CCONJ
ejpam-5345	5	11	horadam	horadam	NOUN
ejpam-5345	5	12	polynomials	polynomial	NOUN
ejpam-5345	5	13	,	,	PUNCT
ejpam-5345	5	14	we	we	PRON
ejpam-5345	5	15	introduce	introduce	VERB
ejpam-5345	5	16	new	new	ADJ
ejpam-5345	5	17	subclasses	subclass	NOUN
ejpam-5345	5	18	of	of	ADP
ejpam-5345	5	19	bi	bi	ADJ
ejpam-5345	5	20	-	-	ADJ
ejpam-5345	5	21	univalent	univalent	ADJ
ejpam-5345	5	22	functions	function	NOUN
ejpam-5345	5	23	in	in	ADP
ejpam-5345	5	24	d.	d.	PROPN
ejpam-5345	5	25	we	we	PRON
ejpam-5345	5	26	determine	determine	VERB
ejpam-5345	5	27	upper	upper	ADJ
ejpam-5345	5	28	bounds	bound	NOUN
ejpam-5345	5	29	on	on	ADP
ejpam-5345	5	30	initial	initial	ADJ
ejpam-5345	5	31	coefficients	coefficient	NOUN
ejpam-5345	5	32	,	,	PUNCT
ejpam-5345	5	33	as	as	ADV
ejpam-5345	5	34	well	well	ADV
ejpam-5345	5	35	as	as	ADP
ejpam-5345	5	36	the	the	DET
ejpam-5345	5	37	fekete	fekete	PROPN
ejpam-5345	5	38	-	-	PUNCT
ejpam-5345	5	39	szegö	szegö	VERB
ejpam-5345	5	40	problems	problem	NOUN
ejpam-5345	5	41	,	,	PUNCT
ejpam-5345	5	42	for	for	ADP
ejpam-5345	5	43	functions	function	NOUN
ejpam-5345	5	44	belonging	belong	VERB
ejpam-5345	5	45	to	to	ADP
ejpam-5345	5	46	these	these	DET
ejpam-5345	5	47	special	special	ADJ
ejpam-5345	5	48	families	family	NOUN
ejpam-5345	5	49	.	.	PUNCT
ejpam-5345	6	1	additionally	additionally	ADV
ejpam-5345	6	2	,	,	PUNCT
ejpam-5345	6	3	we	we	PRON
ejpam-5345	6	4	discuss	discuss	VERB
ejpam-5345	6	5	several	several	ADJ
ejpam-5345	6	6	interesting	interesting	ADJ
ejpam-5345	6	7	consequences	consequence	NOUN
ejpam-5345	6	8	related	relate	VERB
ejpam-5345	6	9	to	to	ADP
ejpam-5345	6	10	the	the	DET
ejpam-5345	6	11	findings	finding	NOUN
ejpam-5345	6	12	presented	present	VERB
ejpam-5345	6	13	in	in	ADP
ejpam-5345	6	14	this	this	DET
ejpam-5345	6	15	study	study	NOUN
ejpam-5345	6	16	.	.	PUNCT
ejpam-5345	7	1	2020	2020	NUM
ejpam-5345	7	2	mathematics	mathematic	NOUN
ejpam-5345	7	3	subject	subject	NOUN
ejpam-5345	7	4	classifications	classification	NOUN
ejpam-5345	7	5	:	:	PUNCT
ejpam-5345	7	6	30c45	30c45	NUM
ejpam-5345	7	7	,	,	PUNCT
ejpam-5345	7	8	30c50	30c50	DET
ejpam-5345	7	9	key	key	ADJ
ejpam-5345	7	10	words	word	NOUN
ejpam-5345	7	11	and	and	CCONJ
ejpam-5345	7	12	phrases	phrase	NOUN
ejpam-5345	7	13	:	:	PUNCT
ejpam-5345	7	14	holomorphic	holomorphic	ADJ
ejpam-5345	7	15	function	function	NOUN
ejpam-5345	7	16	,	,	PUNCT
ejpam-5345	7	17	bi	bi	ADJ
ejpam-5345	7	18	-	-	ADJ
ejpam-5345	7	19	univalent	univalent	ADJ
ejpam-5345	7	20	function	function	NOUN
ejpam-5345	7	21	,	,	PUNCT
ejpam-5345	7	22	horadam	horadam	PROPN
ejpam-5345	7	23	polynomials	polynomial	NOUN
ejpam-5345	7	24	,	,	PUNCT
ejpam-5345	7	25	modified	modify	VERB
ejpam-5345	7	26	sigmoid	sigmoid	NOUN
ejpam-5345	7	27	function	function	NOUN
ejpam-5345	7	28	,	,	PUNCT
ejpam-5345	7	29	q	q	NOUN
ejpam-5345	7	30	-	-	NOUN
ejpam-5345	7	31	calculus	calculus	NOUN
ejpam-5345	7	32	,	,	PUNCT
ejpam-5345	7	33	the	the	DET
ejpam-5345	7	34	q	q	ADJ
ejpam-5345	7	35	-	-	PUNCT
ejpam-5345	7	36	difference	difference	NOUN
ejpam-5345	7	37	operator	operator	NOUN
ejpam-5345	7	38	,	,	PUNCT
ejpam-5345	7	39	fekete	fekete	PROPN
ejpam-5345	7	40	-	-	PUNCT
ejpam-5345	7	41	szegö	szegö	PROPN
ejpam-5345	7	42	problem	problem	NOUN
ejpam-5345	7	43	1	1	NUM
ejpam-5345	7	44	.	.	PUNCT
ejpam-5345	8	1	introduction	introduction	NOUN
ejpam-5345	8	2	let	let	VERB
ejpam-5345	8	3	a	a	PRON
ejpam-5345	8	4	be	be	AUX
ejpam-5345	8	5	the	the	DET
ejpam-5345	8	6	set	set	NOUN
ejpam-5345	8	7	of	of	ADP
ejpam-5345	8	8	normalized	normalize	VERB
ejpam-5345	8	9	analytic	analytic	ADJ
ejpam-5345	8	10	functions	function	NOUN
ejpam-5345	8	11	that	that	PRON
ejpam-5345	8	12	have	have	VERB
ejpam-5345	8	13	the	the	DET
ejpam-5345	8	14	form	form	NOUN
ejpam-5345	8	15	g(z	g(z	ADJ
ejpam-5345	8	16	)	)	PUNCT
ejpam-5345	9	1	=	=	SYM
ejpam-5345	9	2	z	z	NOUN
ejpam-5345	10	1	+	+	X
ejpam-5345	10	2	d2z	d2z	X
ejpam-5345	10	3	2	2	NUM
ejpam-5345	10	4	+	+	CCONJ
ejpam-5345	10	5	d3z	d3z	NOUN
ejpam-5345	10	6	3	3	NUM
ejpam-5345	10	7	+	+	CCONJ
ejpam-5345	10	8	...	...	PUNCT
ejpam-5345	11	1	=	=	PUNCT
ejpam-5345	11	2	z	z	NOUN
ejpam-5345	12	1	+	+	NOUN
ejpam-5345	12	2	∞∑	∞∑	NUM
ejpam-5345	12	3	j=2	j=2	PROPN
ejpam-5345	12	4	djz	djz	NOUN
ejpam-5345	12	5	j	j	PROPN
ejpam-5345	12	6	,	,	PUNCT
ejpam-5345	12	7	(	(	PUNCT
ejpam-5345	12	8	1	1	X
ejpam-5345	12	9	)	)	PUNCT
ejpam-5345	12	10	in	in	ADP
ejpam-5345	12	11	d	d	PROPN
ejpam-5345	12	12	=	=	SYM
ejpam-5345	12	13	{	{	PUNCT
ejpam-5345	12	14	z	z	NOUN
ejpam-5345	12	15	∈	∈	PROPN
ejpam-5345	12	16	c	c	NOUN
ejpam-5345	12	17	:	:	PUNCT
ejpam-5345	12	18	|z|	|z|	NOUN
ejpam-5345	12	19	<	<	X
ejpam-5345	12	20	1	1	NUM
ejpam-5345	12	21	}	}	PUNCT
ejpam-5345	12	22	.	.	PUNCT
ejpam-5345	12	23	suppose	suppose	VERB
ejpam-5345	12	24	that	that	SCONJ
ejpam-5345	12	25	,	,	PUNCT
ejpam-5345	12	26	an	an	DET
ejpam-5345	12	27	analytic	analytic	ADJ
ejpam-5345	12	28	function	function	NOUN
ejpam-5345	12	29	g	g	NOUN
ejpam-5345	12	30	,	,	PUNCT
ejpam-5345	12	31	which	which	PRON
ejpam-5345	12	32	is	be	AUX
ejpam-5345	12	33	a	a	DET
ejpam-5345	12	34	function	function	NOUN
ejpam-5345	12	35	of	of	ADP
ejpam-5345	12	36	a	a	DET
ejpam-5345	12	37	single	single	ADJ
ejpam-5345	12	38	-	-	PUNCT
ejpam-5345	12	39	value	value	NOUN
ejpam-5345	12	40	in	in	ADP
ejpam-5345	12	41	some	some	DET
ejpam-5345	12	42	domain	domain	NOUN
ejpam-5345	12	43	∆	∆	PROPN
ejpam-5345	12	44	⊂	⊂	PROPN
ejpam-5345	12	45	c.	c.	PROPN
ejpam-5345	12	46	if	if	SCONJ
ejpam-5345	12	47	g	g	PROPN
ejpam-5345	12	48	does	do	AUX
ejpam-5345	12	49	not	not	PART
ejpam-5345	12	50	take	take	VERB
ejpam-5345	12	51	the	the	DET
ejpam-5345	12	52	same	same	ADJ
ejpam-5345	12	53	value	value	NOUN
ejpam-5345	12	54	twice	twice	ADV
ejpam-5345	12	55	in	in	ADP
ejpam-5345	12	56	∆	∆	PROPN
ejpam-5345	12	57	,	,	PUNCT
ejpam-5345	12	58	we	we	PRON
ejpam-5345	12	59	say	say	VERB
ejpam-5345	12	60	that	that	SCONJ
ejpam-5345	12	61	it	it	PRON
ejpam-5345	12	62	is	be	AUX
ejpam-5345	12	63	a	a	DET
ejpam-5345	12	64	univalent	univalent	ADJ
ejpam-5345	12	65	function	function	NOUN
ejpam-5345	12	66	,	,	PUNCT
ejpam-5345	12	67	that	that	ADV
ejpam-5345	12	68	is	is	ADV
ejpam-5345	12	69	,	,	PUNCT
ejpam-5345	12	70	if	if	SCONJ
ejpam-5345	12	71	g(z1	g(z1	NOUN
ejpam-5345	12	72	)	)	PUNCT
ejpam-5345	12	73	̸=	̸=	PROPN
ejpam-5345	12	74	g(z2	g(z2	NOUN
ejpam-5345	12	75	)	)	PUNCT
ejpam-5345	12	76	for	for	ADP
ejpam-5345	12	77	z1	z1	ADJ
ejpam-5345	12	78	̸=	̸=	PROPN
ejpam-5345	12	79	z2	z2	PROPN
ejpam-5345	12	80	,	,	PUNCT
ejpam-5345	12	81	(	(	PUNCT
ejpam-5345	12	82	see	see	VERB
ejpam-5345	12	83	(	(	PUNCT
ejpam-5345	12	84	[	[	X
ejpam-5345	12	85	10	10	NUM
ejpam-5345	12	86	]	]	PUNCT
ejpam-5345	12	87	,	,	PUNCT
ejpam-5345	12	88	page	page	NOUN
ejpam-5345	12	89	26	26	NUM
ejpam-5345	12	90	)	)	PUNCT
ejpam-5345	12	91	.	.	PUNCT
ejpam-5345	13	1	the	the	DET
ejpam-5345	13	2	class	class	NOUN
ejpam-5345	13	3	of	of	ADP
ejpam-5345	13	4	all	all	DET
ejpam-5345	13	5	univalent	univalent	ADJ
ejpam-5345	13	6	functions	function	NOUN
ejpam-5345	13	7	represented	represent	VERB
ejpam-5345	13	8	by	by	ADP
ejpam-5345	13	9	s.	s.	PROPN
ejpam-5345	13	10	the	the	DET
ejpam-5345	13	11	theorem	theorem	PROPN
ejpam-5345	13	12	of	of	ADP
ejpam-5345	13	13	koebe	koebe	NOUN
ejpam-5345	13	14	one	one	NUM
ejpam-5345	13	15	-	-	PUNCT
ejpam-5345	13	16	quarter	quarter	NOUN
ejpam-5345	13	17	∗corresponding	∗corresponding	NOUN
ejpam-5345	13	18	author	author	NOUN
ejpam-5345	13	19	.	.	PUNCT
ejpam-5345	14	1	doi	doi	NOUN
ejpam-5345	14	2	:	:	PUNCT
ejpam-5345	14	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5345	https://doi.org/10.29020/nybg.ejpam.v17i4.5345	PRON
ejpam-5345	14	4	email	email	NOUN
ejpam-5345	14	5	addresses	address	VERB
ejpam-5345	14	6	:	:	PUNCT
ejpam-5345	14	7	n.kumar@seu.edu.sa	n.kumar@seu.edu.sa	PROPN
ejpam-5345	14	8	(	(	PUNCT
ejpam-5345	14	9	n.	n.	PROPN
ejpam-5345	14	10	k.	k.	PROPN
ejpam-5345	14	11	mishra	mishra	PROPN
ejpam-5345	14	12	)	)	PUNCT
ejpam-5345	14	13	,	,	PUNCT
ejpam-5345	14	14	f.khan@seu.edu.sa	f.khan@seu.edu.sa	PROPN
ejpam-5345	14	15	(	(	PUNCT
ejpam-5345	14	16	m.	m.	PROPN
ejpam-5345	14	17	f.	f.	PROPN
ejpam-5345	14	18	khan	khan	PROPN
ejpam-5345	14	19	)	)	PUNCT
ejpam-5345	14	20	,	,	PUNCT
ejpam-5345	14	21	s.lone@seu.edu.sa	s.lone@seu.edu.sa	PROPN
ejpam-5345	14	22	(	(	PUNCT
ejpam-5345	14	23	s.	s.	PROPN
ejpam-5345	14	24	a.	a.	PROPN
ejpam-5345	14	25	lone	lone	PROPN
ejpam-5345	14	26	)	)	PUNCT
ejpam-5345	14	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5345	14	28	2516	2516	NUM
ejpam-5345	15	1	copyright	copyright	NOUN
ejpam-5345	15	2	:	:	PUNCT
ejpam-5345	15	3	©	©	PROPN
ejpam-5345	15	4	2024	2024	NUM
ejpam-5345	15	5	the	the	DET
ejpam-5345	15	6	author(s	author(s	NOUN
ejpam-5345	15	7	)	)	PUNCT
ejpam-5345	15	8	.	.	PUNCT
ejpam-5345	16	1	(	(	PUNCT
ejpam-5345	16	2	cc	cc	NOUN
ejpam-5345	16	3	by	by	ADP
ejpam-5345	16	4	-	-	PUNCT
ejpam-5345	16	5	nc	nc	PROPN
ejpam-5345	16	6	4.0	4.0	NUM
ejpam-5345	16	7	)	)	PUNCT
ejpam-5345	16	8	n.	n.	PROPN
ejpam-5345	16	9	k.	k.	PROPN
ejpam-5345	16	10	mishra	mishra	PROPN
ejpam-5345	16	11	,	,	PUNCT
ejpam-5345	16	12	m.	m.	PROPN
ejpam-5345	16	13	f.	f.	PROPN
ejpam-5345	16	14	khan	khan	PROPN
ejpam-5345	16	15	,	,	PUNCT
ejpam-5345	16	16	s.	s.	PROPN
ejpam-5345	16	17	a.	a.	PROPN
ejpam-5345	16	18	lone	lone	PROPN
ejpam-5345	16	19	/	/	SYM
ejpam-5345	16	20	eur	eur	PROPN
ejpam-5345	16	21	.	.	PUNCT
ejpam-5345	17	1	j.	j.	PROPN
ejpam-5345	17	2	pure	pure	PROPN
ejpam-5345	17	3	appl	appl	PROPN
ejpam-5345	17	4	.	.	PROPN
ejpam-5345	17	5	math	math	PROPN
ejpam-5345	17	6	,	,	PUNCT
ejpam-5345	17	7	17	17	NUM
ejpam-5345	17	8	(	(	PUNCT
ejpam-5345	17	9	4	4	NUM
ejpam-5345	17	10	)	)	PUNCT
ejpam-5345	17	11	(	(	PUNCT
ejpam-5345	17	12	2024	2024	NUM
ejpam-5345	17	13	)	)	PUNCT
ejpam-5345	17	14	,	,	PUNCT
ejpam-5345	17	15	2516	2516	NUM
ejpam-5345	17	16	-	-	SYM
ejpam-5345	17	17	2537	2537	NUM
ejpam-5345	17	18	2517	2517	NUM
ejpam-5345	17	19	(	(	PUNCT
ejpam-5345	17	20	[	[	X
ejpam-5345	17	21	10	10	NUM
ejpam-5345	17	22	]	]	PUNCT
ejpam-5345	17	23	,	,	PUNCT
ejpam-5345	17	24	page	page	NOUN
ejpam-5345	17	25	31	31	NUM
ejpam-5345	17	26	)	)	PUNCT
ejpam-5345	17	27	prove	prove	VERB
ejpam-5345	17	28	that	that	SCONJ
ejpam-5345	17	29	the	the	DET
ejpam-5345	17	30	range	range	NOUN
ejpam-5345	17	31	of	of	ADP
ejpam-5345	17	32	each	each	DET
ejpam-5345	17	33	function	function	NOUN
ejpam-5345	17	34	g	g	PROPN
ejpam-5345	17	35	∈	∈	PROPN
ejpam-5345	17	36	s	s	PART
ejpam-5345	17	37	contains	contain	VERB
ejpam-5345	17	38	the	the	DET
ejpam-5345	17	39	open	open	ADJ
ejpam-5345	17	40	disk	disk	NOUN
ejpam-5345	17	41	of	of	ADP
ejpam-5345	17	42	radius	radius	NOUN
ejpam-5345	17	43	1	1	NUM
ejpam-5345	17	44	4	4	NUM
ejpam-5345	17	45	.	.	PUNCT
ejpam-5345	18	1	every	every	DET
ejpam-5345	18	2	function	function	NOUN
ejpam-5345	18	3	g	g	PROPN
ejpam-5345	18	4	∈	∈	PROPN
ejpam-5345	18	5	s	s	PART
ejpam-5345	18	6	has	have	VERB
ejpam-5345	18	7	an	an	DET
ejpam-5345	18	8	inverse	inverse	NOUN
ejpam-5345	18	9	g−1	g−1	PROPN
ejpam-5345	18	10	satisfies	satisfie	NOUN
ejpam-5345	18	11	z	z	NOUN
ejpam-5345	18	12	=	=	SYM
ejpam-5345	18	13	g−1(g(z	g−1(g(z	NOUN
ejpam-5345	18	14	)	)	PUNCT
ejpam-5345	18	15	)	)	PUNCT
ejpam-5345	18	16	,	,	PUNCT
ejpam-5345	19	1	z	z	NOUN
ejpam-5345	19	2	∈	∈	PROPN
ejpam-5345	19	3	d	d	NOUN
ejpam-5345	19	4	and	and	CCONJ
ejpam-5345	19	5	ω	ω	NUM
ejpam-5345	19	6	=	=	SYM
ejpam-5345	19	7	g(g−1(ω	g(g−1(ω	PROPN
ejpam-5345	19	8	)	)	PUNCT
ejpam-5345	19	9	)	)	PUNCT
ejpam-5345	19	10	,	,	PUNCT
ejpam-5345	19	11	|ω|	|ω|	VERB
ejpam-5345	19	12	<	<	X
ejpam-5345	19	13	r0(g	r0(g	NOUN
ejpam-5345	19	14	)	)	PUNCT
ejpam-5345	19	15	,	,	PUNCT
ejpam-5345	19	16	r0(g	r0(g	AUX
ejpam-5345	19	17	)	)	PUNCT
ejpam-5345	19	18	≥	≥	NOUN
ejpam-5345	19	19	1/4	1/4	NUM
ejpam-5345	19	20	.	.	PUNCT
ejpam-5345	20	1	the	the	DET
ejpam-5345	20	2	inverse	inverse	NOUN
ejpam-5345	20	3	function	function	NOUN
ejpam-5345	20	4	f	f	NOUN
ejpam-5345	20	5	=	=	SYM
ejpam-5345	20	6	g−1	g−1	PROPN
ejpam-5345	20	7	for	for	ADP
ejpam-5345	20	8	each	each	DET
ejpam-5345	20	9	g	g	PROPN
ejpam-5345	20	10	∈	∈	PROPN
ejpam-5345	20	11	s	s	PART
ejpam-5345	20	12	has	have	VERB
ejpam-5345	20	13	taylor	taylor	PROPN
ejpam-5345	20	14	series	series	PROPN
ejpam-5345	20	15	expansion	expansion	NOUN
ejpam-5345	20	16	as	as	SCONJ
ejpam-5345	20	17	follows	follow	VERB
ejpam-5345	20	18	(	(	PUNCT
ejpam-5345	20	19	see	see	VERB
ejpam-5345	20	20	(	(	PUNCT
ejpam-5345	20	21	[	[	X
ejpam-5345	20	22	3	3	NUM
ejpam-5345	20	23	]	]	PUNCT
ejpam-5345	20	24	,	,	PUNCT
ejpam-5345	20	25	page	page	NOUN
ejpam-5345	20	26	185	185	NUM
ejpam-5345	20	27	)	)	PUNCT
ejpam-5345	20	28	):	):	PUNCT
ejpam-5345	20	29	g−1(ω	g−1(ω	PROPN
ejpam-5345	20	30	)	)	PUNCT
ejpam-5345	20	31	=	=	SYM
ejpam-5345	20	32	f(ω	f(ω	PROPN
ejpam-5345	20	33	)	)	PUNCT
ejpam-5345	21	1	=	=	PUNCT
ejpam-5345	21	2	ω	ω	NOUN
ejpam-5345	22	1	+	+	CCONJ
ejpam-5345	22	2	∞∑	∞∑	PROPN
ejpam-5345	22	3	j=2	j=2	NOUN
ejpam-5345	22	4	1	1	NUM
ejpam-5345	22	5	j	j	PROPN
ejpam-5345	22	6	k−j	k−j	PROPN
ejpam-5345	22	7	j−1	j−1	PROPN
ejpam-5345	22	8	(	(	PUNCT
ejpam-5345	22	9	d2	d2	PROPN
ejpam-5345	22	10	,	,	PUNCT
ejpam-5345	22	11	d3	d3	PROPN
ejpam-5345	22	12	,	,	PUNCT
ejpam-5345	22	13	d4	d4	PROPN
ejpam-5345	22	14	,	,	PUNCT
ejpam-5345	22	15	....	....	PUNCT
ejpam-5345	22	16	dn)ω	dn)ω	PROPN
ejpam-5345	22	17	j	j	NOUN
ejpam-5345	22	18	=	=	SYM
ejpam-5345	22	19	ω	ω	PROPN
ejpam-5345	22	20	−	−	PROPN
ejpam-5345	22	21	d2ω	d2ω	ADP
ejpam-5345	22	22	2	2	NUM
ejpam-5345	22	23	+	+	CCONJ
ejpam-5345	22	24	(	(	PUNCT
ejpam-5345	22	25	2d22	2d22	NUM
ejpam-5345	22	26	−	−	NOUN
ejpam-5345	22	27	d3)ω	d3)ω	PROPN
ejpam-5345	22	28	3	3	NUM
ejpam-5345	22	29	−	−	PROPN
ejpam-5345	22	30	(	(	PUNCT
ejpam-5345	22	31	5d32	5d32	NUM
ejpam-5345	22	32	−	−	NOUN
ejpam-5345	22	33	5d2d3	5d2d3	NOUN
ejpam-5345	22	34	+	+	CCONJ
ejpam-5345	22	35	d4)ω	d4)ω	NOUN
ejpam-5345	22	36	4	4	NUM
ejpam-5345	22	37	+	+	NUM
ejpam-5345	22	38	·	·	PUNCT
ejpam-5345	22	39	·	·	PUNCT
ejpam-5345	22	40	·	·	PUNCT
ejpam-5345	22	41	,	,	PUNCT
ejpam-5345	22	42	(	(	PUNCT
ejpam-5345	22	43	2	2	X
ejpam-5345	22	44	)	)	PUNCT
ejpam-5345	22	45	where	where	SCONJ
ejpam-5345	22	46	the	the	DET
ejpam-5345	22	47	coefficients	coefficient	NOUN
ejpam-5345	22	48	of	of	ADP
ejpam-5345	22	49	j	j	PROPN
ejpam-5345	22	50	parametric	parametric	PROPN
ejpam-5345	22	51	function	function	PROPN
ejpam-5345	22	52	kp	kp	PROPN
ejpam-5345	22	53	j	j	PROPN
ejpam-5345	22	54	(	(	PUNCT
ejpam-5345	22	55	d2	d2	PROPN
ejpam-5345	22	56	,	,	PUNCT
ejpam-5345	22	57	d3	d3	PROPN
ejpam-5345	22	58	,	,	PUNCT
ejpam-5345	22	59	d4	d4	PROPN
ejpam-5345	22	60	,	,	PUNCT
ejpam-5345	22	61	....	....	PUNCT
ejpam-5345	22	62	dn	dn	X
ejpam-5345	22	63	)	)	PUNCT
ejpam-5345	22	64	are	be	AUX
ejpam-5345	22	65	given	give	VERB
ejpam-5345	22	66	by	by	ADP
ejpam-5345	22	67	kp	kp	PROPN
ejpam-5345	22	68	1	1	NUM
ejpam-5345	22	69	=	=	SYM
ejpam-5345	22	70	pd2	pd2	PROPN
ejpam-5345	22	71	,	,	PUNCT
ejpam-5345	22	72	kp	kp	PROPN
ejpam-5345	22	73	2	2	NUM
ejpam-5345	22	74	=	=	PUNCT
ejpam-5345	22	75	p(p−	p(p−	VERB
ejpam-5345	22	76	1	1	NUM
ejpam-5345	22	77	)	)	PUNCT
ejpam-5345	22	78	2	2	NUM
ejpam-5345	22	79	d22	d22	NOUN
ejpam-5345	22	80	+	+	CCONJ
ejpam-5345	22	81	pd3	pd3	PROPN
ejpam-5345	22	82	,	,	PUNCT
ejpam-5345	22	83	kp	kp	PROPN
ejpam-5345	22	84	3	3	NUM
ejpam-5345	22	85	=	=	PUNCT
ejpam-5345	22	86	p(p−	p(p−	VERB
ejpam-5345	22	87	1)d2d3	1)d2d3	NOUN
ejpam-5345	22	88	+	+	NUM
ejpam-5345	22	89	pd4	pd4	NOUN
ejpam-5345	22	90	+	+	CCONJ
ejpam-5345	22	91	p(p−	p(p−	VERB
ejpam-5345	22	92	1)(p−	1)(p−	NUM
ejpam-5345	22	93	2	2	NUM
ejpam-5345	22	94	)	)	PUNCT
ejpam-5345	22	95	3	3	NUM
ejpam-5345	22	96	!	!	X
ejpam-5345	22	97	d32	d32	PROPN
ejpam-5345	22	98	.	.	PUNCT
ejpam-5345	23	1	an	an	DET
ejpam-5345	23	2	analytic	analytic	ADJ
ejpam-5345	23	3	function	function	NOUN
ejpam-5345	23	4	g	g	PROPN
ejpam-5345	23	5	∈	∈	PROPN
ejpam-5345	23	6	a	a	PRON
ejpam-5345	23	7	will	will	AUX
ejpam-5345	23	8	be	be	AUX
ejpam-5345	23	9	the	the	DET
ejpam-5345	23	10	bi	bi	NOUN
ejpam-5345	23	11	-	-	NOUN
ejpam-5345	23	12	univalent	univalent	ADJ
ejpam-5345	23	13	in	in	ADP
ejpam-5345	23	14	d	d	PROPN
ejpam-5345	23	15	,	,	PUNCT
ejpam-5345	23	16	if	if	SCONJ
ejpam-5345	23	17	both	both	PRON
ejpam-5345	23	18	g	g	PROPN
ejpam-5345	23	19	and	and	CCONJ
ejpam-5345	23	20	g−1	g−1	PROPN
ejpam-5345	23	21	are	be	AUX
ejpam-5345	23	22	univalent	univalent	ADJ
ejpam-5345	23	23	in	in	ADP
ejpam-5345	23	24	d	d	PROPN
ejpam-5345	23	25	and	and	CCONJ
ejpam-5345	23	26	the	the	DET
ejpam-5345	23	27	family	family	NOUN
ejpam-5345	23	28	of	of	ADP
ejpam-5345	23	29	bi	bi	ADJ
ejpam-5345	23	30	-	-	ADJ
ejpam-5345	23	31	univalent	univalent	ADJ
ejpam-5345	23	32	functions	function	NOUN
ejpam-5345	23	33	of	of	ADP
ejpam-5345	23	34	the	the	DET
ejpam-5345	23	35	form	form	NOUN
ejpam-5345	23	36	(	(	PUNCT
ejpam-5345	23	37	1	1	X
ejpam-5345	23	38	)	)	PUNCT
ejpam-5345	23	39	is	be	AUX
ejpam-5345	23	40	represented	represent	VERB
ejpam-5345	23	41	by	by	ADP
ejpam-5345	23	42	the	the	DET
ejpam-5345	23	43	symbol	symbol	NOUN
ejpam-5345	23	44	σ	σ	PROPN
ejpam-5345	23	45	.	.	PUNCT
ejpam-5345	24	1	the	the	DET
ejpam-5345	24	2	subject	subject	NOUN
ejpam-5345	24	3	has	have	AUX
ejpam-5345	24	4	gained	gain	VERB
ejpam-5345	24	5	renewed	renew	VERB
ejpam-5345	24	6	attention	attention	NOUN
ejpam-5345	24	7	in	in	ADP
ejpam-5345	24	8	the	the	DET
ejpam-5345	24	9	last	last	ADJ
ejpam-5345	24	10	ten	ten	NUM
ejpam-5345	24	11	years	year	NOUN
ejpam-5345	24	12	,	,	PUNCT
ejpam-5345	24	13	with	with	ADP
ejpam-5345	24	14	several	several	ADJ
ejpam-5345	24	15	studies	study	NOUN
ejpam-5345	24	16	published	publish	VERB
ejpam-5345	24	17	on	on	ADP
ejpam-5345	24	18	the	the	DET
ejpam-5345	24	19	subject	subject	NOUN
ejpam-5345	24	20	since	since	SCONJ
ejpam-5345	24	21	2011	2011	NUM
ejpam-5345	24	22	,	,	PUNCT
ejpam-5345	24	23	for	for	ADP
ejpam-5345	24	24	instance	instance	NOUN
ejpam-5345	24	25	[	[	X
ejpam-5345	24	26	16	16	NUM
ejpam-5345	24	27	,	,	PUNCT
ejpam-5345	24	28	30	30	NUM
ejpam-5345	24	29	]	]	PUNCT
ejpam-5345	24	30	.	.	PUNCT
ejpam-5345	25	1	there	there	PRON
ejpam-5345	25	2	were	be	VERB
ejpam-5345	25	3	intriguing	intriguing	ADJ
ejpam-5345	25	4	findings	finding	NOUN
ejpam-5345	25	5	about	about	ADP
ejpam-5345	25	6	the	the	DET
ejpam-5345	25	7	estimation	estimation	NOUN
ejpam-5345	25	8	of	of	ADP
ejpam-5345	25	9	coefficients	coefficient	NOUN
ejpam-5345	25	10	for	for	ADP
ejpam-5345	25	11	certain	certain	ADJ
ejpam-5345	25	12	types	type	NOUN
ejpam-5345	25	13	of	of	ADP
ejpam-5345	25	14	univalent	univalent	ADJ
ejpam-5345	25	15	functions	function	NOUN
ejpam-5345	25	16	,	,	PUNCT
ejpam-5345	25	17	(	(	PUNCT
ejpam-5345	25	18	see	see	VERB
ejpam-5345	25	19	[	[	X
ejpam-5345	25	20	32	32	NUM
ejpam-5345	25	21	,	,	PUNCT
ejpam-5345	25	22	40	40	NUM
ejpam-5345	25	23	,	,	PUNCT
ejpam-5345	25	24	45	45	NUM
ejpam-5345	25	25	–	–	PUNCT
ejpam-5345	25	26	47	47	NUM
ejpam-5345	25	27	]	]	PUNCT
ejpam-5345	25	28	)	)	PUNCT
ejpam-5345	25	29	.	.	PUNCT
ejpam-5345	26	1	lemma	lemma	PROPN
ejpam-5345	26	2	1	1	NUM
ejpam-5345	26	3	.	.	PUNCT
ejpam-5345	27	1	(	(	PUNCT
ejpam-5345	27	2	schwarz	schwarz	PROPN
ejpam-5345	27	3	lemma	lemma	PROPN
ejpam-5345	27	4	(	(	PUNCT
ejpam-5345	27	5	[	[	X
ejpam-5345	27	6	10	10	NUM
ejpam-5345	27	7	]	]	PUNCT
ejpam-5345	27	8	,	,	PUNCT
ejpam-5345	27	9	page	page	NOUN
ejpam-5345	27	10	3	3	NUM
ejpam-5345	27	11	)	)	PUNCT
ejpam-5345	27	12	)	)	PUNCT
ejpam-5345	27	13	.	.	PUNCT
ejpam-5345	28	1	let	let	VERB
ejpam-5345	28	2	ψ(z	ψ(z	PROPN
ejpam-5345	28	3	)	)	PUNCT
ejpam-5345	28	4	is	be	AUX
ejpam-5345	28	5	analytic	analytic	ADJ
ejpam-5345	28	6	in	in	ADP
ejpam-5345	28	7	d	d	PROPN
ejpam-5345	28	8	with	with	ADP
ejpam-5345	28	9	ψ(0	ψ(0	NOUN
ejpam-5345	28	10	)	)	PUNCT
ejpam-5345	28	11	=	=	SYM
ejpam-5345	28	12	0	0	PUNCT
ejpam-5345	29	1	and	and	CCONJ
ejpam-5345	29	2	|ψ(z)|	|ψ(z)|	X
ejpam-5345	29	3	<	<	X
ejpam-5345	29	4	1	1	NUM
ejpam-5345	29	5	,	,	PUNCT
ejpam-5345	29	6	z	z	NOUN
ejpam-5345	29	7	∈	∈	PROPN
ejpam-5345	30	1	d	d	NOUN
ejpam-5345	30	2	,	,	PUNCT
ejpam-5345	30	3	then	then	ADV
ejpam-5345	30	4	we	we	PRON
ejpam-5345	30	5	have	have	VERB
ejpam-5345	30	6	|ψ(z)|	|ψ(z)|	PRON
ejpam-5345	30	7	<	<	X
ejpam-5345	30	8	|z|	|z|	PROPN
ejpam-5345	30	9	and	and	CCONJ
ejpam-5345	30	10	|ψ′	|ψ′	PROPN
ejpam-5345	30	11	(	(	PUNCT
ejpam-5345	30	12	0)|	0)|	NOUN
ejpam-5345	30	13	<	<	X
ejpam-5345	30	14	1	1	NUM
ejpam-5345	30	15	in	in	ADP
ejpam-5345	30	16	d.	d.	PROPN
ejpam-5345	30	17	definition	definition	NOUN
ejpam-5345	30	18	1	1	NUM
ejpam-5345	30	19	.	.	PUNCT
ejpam-5345	31	1	the	the	DET
ejpam-5345	31	2	analytic	analytic	ADJ
ejpam-5345	31	3	function	function	NOUN
ejpam-5345	31	4	ζ1(z	ζ1(z	NOUN
ejpam-5345	31	5	)	)	PUNCT
ejpam-5345	31	6	is	be	AUX
ejpam-5345	31	7	subordinate	subordinate	ADJ
ejpam-5345	31	8	to	to	ADP
ejpam-5345	31	9	the	the	DET
ejpam-5345	31	10	analytic	analytic	ADJ
ejpam-5345	31	11	function	function	NOUN
ejpam-5345	31	12	ζ2(z	ζ2(z	NOUN
ejpam-5345	31	13	)	)	PUNCT
ejpam-5345	31	14	,	,	PUNCT
ejpam-5345	31	15	(	(	PUNCT
ejpam-5345	31	16	written	write	VERB
ejpam-5345	31	17	as	as	ADP
ejpam-5345	31	18	ζ1(z	ζ1(z	NOUN
ejpam-5345	31	19	)	)	PUNCT
ejpam-5345	31	20	≺	≺	NOUN
ejpam-5345	31	21	ζ2(z	ζ2(z	NOUN
ejpam-5345	31	22	)	)	PUNCT
ejpam-5345	31	23	,	,	PUNCT
ejpam-5345	31	24	z	z	PROPN
ejpam-5345	31	25	∈	∈	PROPN
ejpam-5345	31	26	d	d	X
ejpam-5345	31	27	)	)	PUNCT
ejpam-5345	31	28	,	,	PUNCT
ejpam-5345	31	29	if	if	SCONJ
ejpam-5345	31	30	there	there	PRON
ejpam-5345	31	31	exist	exist	VERB
ejpam-5345	31	32	a	a	DET
ejpam-5345	31	33	schwarz	schwarz	PROPN
ejpam-5345	31	34	function	function	PROPN
ejpam-5345	31	35	ψ(z	ψ(z	PROPN
ejpam-5345	31	36	)	)	PUNCT
ejpam-5345	31	37	in	in	ADP
ejpam-5345	31	38	d	d	PROPN
ejpam-5345	31	39	such	such	ADJ
ejpam-5345	31	40	that	that	DET
ejpam-5345	31	41	ζ1(z	ζ1(z	NOUN
ejpam-5345	31	42	)	)	PUNCT
ejpam-5345	31	43	=	=	SYM
ejpam-5345	31	44	ζ2(ψ(z	ζ2(ψ(z	NOUN
ejpam-5345	31	45	)	)	PUNCT
ejpam-5345	31	46	)	)	PUNCT
ejpam-5345	31	47	,	,	PUNCT
ejpam-5345	31	48	z	z	PROPN
ejpam-5345	31	49	∈	∈	PROPN
ejpam-5345	31	50	d.	d.	NOUN
ejpam-5345	31	51	to	to	PART
ejpam-5345	31	52	be	be	AUX
ejpam-5345	31	53	specific	specific	ADJ
ejpam-5345	31	54	,	,	PUNCT
ejpam-5345	31	55	if	if	SCONJ
ejpam-5345	31	56	ζ2	ζ2	NOUN
ejpam-5345	31	57	is	be	AUX
ejpam-5345	31	58	univalent	univalent	ADJ
ejpam-5345	31	59	in	in	ADP
ejpam-5345	31	60	d	d	PROPN
ejpam-5345	31	61	,	,	PUNCT
ejpam-5345	31	62	then	then	ADV
ejpam-5345	31	63	(	(	PUNCT
ejpam-5345	31	64	see	see	VERB
ejpam-5345	31	65	also	also	ADV
ejpam-5345	31	66	[	[	X
ejpam-5345	31	67	10	10	NUM
ejpam-5345	31	68	]	]	SYM
ejpam-5345	31	69	):	):	PUNCT
ejpam-5345	31	70	ζ1(z	ζ1(z	PROPN
ejpam-5345	31	71	)	)	PUNCT
ejpam-5345	31	72	≺	≺	NOUN
ejpam-5345	31	73	ζ2(z	ζ2(z	NOUN
ejpam-5345	31	74	)	)	PUNCT
ejpam-5345	31	75	⇔	⇔	PROPN
ejpam-5345	31	76	ζ1(0	ζ1(0	NOUN
ejpam-5345	31	77	)	)	PUNCT
ejpam-5345	31	78	=	=	SYM
ejpam-5345	31	79	ζ2(0	ζ2(0	PROPN
ejpam-5345	31	80	)	)	PUNCT
ejpam-5345	31	81	and	and	CCONJ
ejpam-5345	31	82	ζ1(d	ζ1(d	NUM
ejpam-5345	31	83	)	)	PUNCT
ejpam-5345	31	84	⊂	⊂	PROPN
ejpam-5345	31	85	ζ2(d	ζ2(d	PROPN
ejpam-5345	31	86	)	)	PUNCT
ejpam-5345	31	87	.	.	PUNCT
ejpam-5345	32	1	n.	n.	PROPN
ejpam-5345	32	2	k.	k.	PROPN
ejpam-5345	32	3	mishra	mishra	PROPN
ejpam-5345	32	4	,	,	PUNCT
ejpam-5345	32	5	m.	m.	PROPN
ejpam-5345	32	6	f.	f.	PROPN
ejpam-5345	32	7	khan	khan	PROPN
ejpam-5345	32	8	,	,	PUNCT
ejpam-5345	32	9	s.	s.	PROPN
ejpam-5345	32	10	a.	a.	PROPN
ejpam-5345	32	11	lone	lone	PROPN
ejpam-5345	32	12	/	/	SYM
ejpam-5345	32	13	eur	eur	PROPN
ejpam-5345	32	14	.	.	PUNCT
ejpam-5345	33	1	j.	j.	PROPN
ejpam-5345	33	2	pure	pure	PROPN
ejpam-5345	33	3	appl	appl	PROPN
ejpam-5345	33	4	.	.	PROPN
ejpam-5345	33	5	math	math	PROPN
ejpam-5345	33	6	,	,	PUNCT
ejpam-5345	33	7	17	17	NUM
ejpam-5345	33	8	(	(	PUNCT
ejpam-5345	33	9	4	4	NUM
ejpam-5345	33	10	)	)	PUNCT
ejpam-5345	33	11	(	(	PUNCT
ejpam-5345	33	12	2024	2024	NUM
ejpam-5345	33	13	)	)	PUNCT
ejpam-5345	33	14	,	,	PUNCT
ejpam-5345	33	15	2516	2516	NUM
ejpam-5345	33	16	-	-	SYM
ejpam-5345	33	17	2537	2537	NUM
ejpam-5345	33	18	2518	2518	NUM
ejpam-5345	33	19	the	the	DET
ejpam-5345	33	20	study	study	NOUN
ejpam-5345	33	21	of	of	ADP
ejpam-5345	33	22	coefficients	coefficient	NOUN
ejpam-5345	33	23	for	for	ADP
ejpam-5345	33	24	functions	function	NOUN
ejpam-5345	33	25	in	in	ADP
ejpam-5345	33	26	particular	particular	ADJ
ejpam-5345	33	27	classes	class	NOUN
ejpam-5345	33	28	has	have	AUX
ejpam-5345	33	29	been	be	AUX
ejpam-5345	33	30	a	a	DET
ejpam-5345	33	31	cornerstone	cornerstone	NOUN
ejpam-5345	33	32	of	of	ADP
ejpam-5345	33	33	univalent	univalent	ADJ
ejpam-5345	33	34	function	function	NOUN
ejpam-5345	33	35	research	research	NOUN
ejpam-5345	33	36	from	from	ADP
ejpam-5345	33	37	its	its	PRON
ejpam-5345	33	38	earliest	early	ADJ
ejpam-5345	33	39	beginnings	beginning	NOUN
ejpam-5345	33	40	.	.	PUNCT
ejpam-5345	34	1	the	the	DET
ejpam-5345	34	2	gronwall	gronwall	ADJ
ejpam-5345	34	3	area	area	NOUN
ejpam-5345	34	4	theorem	theorem	VERB
ejpam-5345	34	5	,	,	PUNCT
ejpam-5345	34	6	established	establish	VERB
ejpam-5345	34	7	in	in	ADP
ejpam-5345	34	8	1914	1914	NUM
ejpam-5345	34	9	,	,	PUNCT
ejpam-5345	34	10	is	be	AUX
ejpam-5345	34	11	a	a	DET
ejpam-5345	34	12	significant	significant	ADJ
ejpam-5345	34	13	discovery	discovery	NOUN
ejpam-5345	34	14	in	in	ADP
ejpam-5345	34	15	the	the	DET
ejpam-5345	34	16	theory	theory	NOUN
ejpam-5345	34	17	of	of	ADP
ejpam-5345	34	18	univalent	univalent	ADJ
ejpam-5345	34	19	functions	function	NOUN
ejpam-5345	34	20	,	,	PUNCT
ejpam-5345	34	21	used	use	VERB
ejpam-5345	34	22	to	to	PART
ejpam-5345	34	23	determine	determine	VERB
ejpam-5345	34	24	bounds	bound	NOUN
ejpam-5345	34	25	on	on	ADP
ejpam-5345	34	26	the	the	DET
ejpam-5345	34	27	coefficients	coefficient	NOUN
ejpam-5345	34	28	of	of	ADP
ejpam-5345	34	29	the	the	DET
ejpam-5345	34	30	class	class	NOUN
ejpam-5345	34	31	of	of	ADP
ejpam-5345	34	32	meromorphic	meromorphic	ADJ
ejpam-5345	34	33	functions	function	NOUN
ejpam-5345	34	34	.	.	PUNCT
ejpam-5345	35	1	different	different	ADJ
ejpam-5345	35	2	approaches	approach	NOUN
ejpam-5345	35	3	in	in	ADP
ejpam-5345	35	4	the	the	DET
ejpam-5345	35	5	geometric	geometric	ADJ
ejpam-5345	35	6	theory	theory	NOUN
ejpam-5345	35	7	of	of	ADP
ejpam-5345	35	8	functions	function	NOUN
ejpam-5345	35	9	of	of	ADP
ejpam-5345	35	10	a	a	DET
ejpam-5345	35	11	complex	complex	ADJ
ejpam-5345	35	12	variable	variable	NOUN
ejpam-5345	35	13	have	have	AUX
ejpam-5345	35	14	been	be	AUX
ejpam-5345	35	15	inspired	inspire	VERB
ejpam-5345	35	16	by	by	ADP
ejpam-5345	35	17	bieberbach	bieberbach	NOUN
ejpam-5345	35	18	’s	’s	PART
ejpam-5345	35	19	famous	famous	ADJ
ejpam-5345	35	20	hypothesis	hypothesis	NOUN
ejpam-5345	35	21	,	,	PUNCT
ejpam-5345	35	22	presented	present	VERB
ejpam-5345	35	23	in	in	ADP
ejpam-5345	35	24	1916	1916	NUM
ejpam-5345	35	25	but	but	CCONJ
ejpam-5345	35	26	only	only	ADV
ejpam-5345	35	27	verified	verify	VERB
ejpam-5345	35	28	in	in	ADP
ejpam-5345	35	29	1984	1984	NUM
ejpam-5345	35	30	,	,	PUNCT
ejpam-5345	35	31	which	which	PRON
ejpam-5345	35	32	he	he	PRON
ejpam-5345	35	33	used	use	VERB
ejpam-5345	35	34	to	to	PART
ejpam-5345	35	35	solve	solve	VERB
ejpam-5345	35	36	similar	similar	ADJ
ejpam-5345	35	37	problems	problem	NOUN
ejpam-5345	35	38	for	for	ADP
ejpam-5345	35	39	the	the	DET
ejpam-5345	35	40	class	class	NOUN
ejpam-5345	35	41	s.	s.	PROPN
ejpam-5345	35	42	when	when	SCONJ
ejpam-5345	35	43	examining	examine	VERB
ejpam-5345	35	44	bi	bi	ADJ
ejpam-5345	35	45	-	-	ADJ
ejpam-5345	35	46	univalent	univalent	ADJ
ejpam-5345	35	47	functions	function	NOUN
ejpam-5345	35	48	,	,	PUNCT
ejpam-5345	35	49	as	as	ADP
ejpam-5345	35	50	in	in	ADP
ejpam-5345	35	51	the	the	DET
ejpam-5345	35	52	classes	class	NOUN
ejpam-5345	35	53	investigated	investigate	VERB
ejpam-5345	35	54	by	by	ADP
ejpam-5345	35	55	gronwall	gronwall	NOUN
ejpam-5345	35	56	and	and	CCONJ
ejpam-5345	35	57	bieberbach	bieberbach	NOUN
ejpam-5345	35	58	,	,	PUNCT
ejpam-5345	35	59	it	it	PRON
ejpam-5345	35	60	is	be	AUX
ejpam-5345	35	61	common	common	ADJ
ejpam-5345	35	62	practice	practice	NOUN
ejpam-5345	35	63	to	to	PART
ejpam-5345	35	64	provide	provide	VERB
ejpam-5345	35	65	estimates	estimate	NOUN
ejpam-5345	35	66	for	for	ADP
ejpam-5345	35	67	the	the	DET
ejpam-5345	35	68	first	first	ADJ
ejpam-5345	35	69	two	two	NUM
ejpam-5345	35	70	taylor	taylor	PROPN
ejpam-5345	35	71	-	-	PUNCT
ejpam-5345	35	72	maclaurin	maclaurin	NOUN
ejpam-5345	35	73	coefficients	coefficient	NOUN
ejpam-5345	35	74	.	.	PUNCT
ejpam-5345	36	1	obtaining	obtain	VERB
ejpam-5345	36	2	comparable	comparable	ADJ
ejpam-5345	36	3	estimates	estimate	NOUN
ejpam-5345	36	4	for	for	ADP
ejpam-5345	36	5	different	different	ADJ
ejpam-5345	36	6	types	type	NOUN
ejpam-5345	36	7	of	of	ADP
ejpam-5345	36	8	functions	function	NOUN
ejpam-5345	36	9	is	be	AUX
ejpam-5345	36	10	known	know	VERB
ejpam-5345	36	11	as	as	ADP
ejpam-5345	36	12	the	the	DET
ejpam-5345	36	13	fekete	fekete	PROPN
ejpam-5345	36	14	-	-	PUNCT
ejpam-5345	36	15	szegö	szegö	PROPN
ejpam-5345	36	16	problem	problem	NOUN
ejpam-5345	36	17	.	.	PUNCT
ejpam-5345	37	1	in	in	ADP
ejpam-5345	37	2	1933	1933	NUM
ejpam-5345	37	3	,	,	PUNCT
ejpam-5345	37	4	it	it	PRON
ejpam-5345	37	5	was	be	AUX
ejpam-5345	37	6	shown	show	VERB
ejpam-5345	37	7	by	by	ADP
ejpam-5345	37	8	fekete	fekete	PROPN
ejpam-5345	37	9	and	and	CCONJ
ejpam-5345	37	10	szegö	szegö	VERB
ejpam-5345	38	1	[	[	X
ejpam-5345	38	2	14	14	NUM
ejpam-5345	38	3	]	]	PUNCT
ejpam-5345	38	4	that	that	PRON
ejpam-5345	38	5	∣∣d3	∣∣d3	VERB
ejpam-5345	38	6	−	−	PROPN
ejpam-5345	38	7	δd22	δd22	PROPN
ejpam-5345	38	8	∣∣	∣∣	NUM
ejpam-5345	38	9	≤	≤	PUNCT
ejpam-5345	38	10			PROPN
ejpam-5345	38	11	3−	3−	NUM
ejpam-5345	38	12	4δ	4δ	NOUN
ejpam-5345	38	13	if	if	SCONJ
ejpam-5345	38	14	δ	δ	PROPN
ejpam-5345	38	15	<	<	X
ejpam-5345	38	16	0	0	NUM
ejpam-5345	38	17	,	,	PUNCT
ejpam-5345	38	18	1	1	NUM
ejpam-5345	38	19	+	+	SYM
ejpam-5345	38	20	2	2	NUM
ejpam-5345	38	21	exp	exp	NOUN
ejpam-5345	38	22	(	(	PUNCT
ejpam-5345	38	23	2δ	2δ	NUM
ejpam-5345	38	24	δ−1	δ−1	PROPN
ejpam-5345	38	25	)	)	PUNCT
ejpam-5345	39	1	if	if	SCONJ
ejpam-5345	39	2	0	0	NUM
ejpam-5345	39	3	≤	≤	NUM
ejpam-5345	39	4	δ	δ	PROPN
ejpam-5345	39	5	<	<	X
ejpam-5345	39	6	1	1	NUM
ejpam-5345	39	7	,	,	PUNCT
ejpam-5345	39	8	4δ	4δ	NOUN
ejpam-5345	39	9	−	−	PROPN
ejpam-5345	39	10	3	3	NUM
ejpam-5345	39	11	if	if	SCONJ
ejpam-5345	39	12	δ	δ	PROPN
ejpam-5345	39	13	≥	≥	AUX
ejpam-5345	39	14	1	1	NUM
ejpam-5345	39	15	,	,	PUNCT
ejpam-5345	39	16	is	be	AUX
ejpam-5345	39	17	sharp	sharp	ADJ
ejpam-5345	39	18	and	and	CCONJ
ejpam-5345	39	19	valid	valid	ADJ
ejpam-5345	39	20	for	for	ADP
ejpam-5345	39	21	every	every	DET
ejpam-5345	39	22	normalized	normalize	VERB
ejpam-5345	39	23	univalent	univalent	ADJ
ejpam-5345	39	24	function	function	NOUN
ejpam-5345	39	25	.	.	PUNCT
ejpam-5345	40	1	the	the	DET
ejpam-5345	40	2	fekete	fekete	PROPN
ejpam-5345	40	3	-	-	PUNCT
ejpam-5345	40	4	szegö	szegö	ADJ
ejpam-5345	40	5	problem	problem	NOUN
ejpam-5345	40	6	is	be	AUX
ejpam-5345	40	7	the	the	DET
ejpam-5345	40	8	one	one	NUM
ejpam-5345	40	9	where	where	SCONJ
ejpam-5345	40	10	the	the	DET
ejpam-5345	40	11	objective	objective	NOUN
ejpam-5345	40	12	is	be	AUX
ejpam-5345	40	13	to	to	PART
ejpam-5345	40	14	maximize	maximize	VERB
ejpam-5345	40	15	the	the	DET
ejpam-5345	40	16	absolute	absolute	ADJ
ejpam-5345	40	17	value	value	NOUN
ejpam-5345	40	18	of	of	ADP
ejpam-5345	40	19	the	the	DET
ejpam-5345	40	20	functional	functional	ADJ
ejpam-5345	40	21	∣∣d3	∣∣d3	NOUN
ejpam-5345	40	22	−	−	PROPN
ejpam-5345	40	23	δd22	δd22	PROPN
ejpam-5345	40	24	∣∣	∣∣	NUM
ejpam-5345	40	25	.	.	PUNCT
ejpam-5345	41	1	according	accord	VERB
ejpam-5345	41	2	to	to	ADP
ejpam-5345	41	3	many	many	ADJ
ejpam-5345	41	4	writers	writer	NOUN
ejpam-5345	41	5	,	,	PUNCT
ejpam-5345	41	6	fekete	fekete	PROPN
ejpam-5345	41	7	-	-	PUNCT
ejpam-5345	41	8	szegö	szegö	PROPN
ejpam-5345	41	9	inequalities	inequality	NOUN
ejpam-5345	41	10	have	have	AUX
ejpam-5345	41	11	been	be	AUX
ejpam-5345	41	12	shown	show	VERB
ejpam-5345	41	13	for	for	ADP
ejpam-5345	41	14	several	several	ADJ
ejpam-5345	41	15	types	type	NOUN
ejpam-5345	41	16	of	of	ADP
ejpam-5345	41	17	functions	function	NOUN
ejpam-5345	41	18	(	(	PUNCT
ejpam-5345	41	19	see	see	VERB
ejpam-5345	41	20	to	to	ADP
ejpam-5345	41	21	references	reference	NOUN
ejpam-5345	41	22	[	[	X
ejpam-5345	41	23	9	9	NUM
ejpam-5345	41	24	,	,	PUNCT
ejpam-5345	41	25	11	11	NUM
ejpam-5345	41	26	]	]	NUM
ejpam-5345	41	27	)	)	PUNCT
ejpam-5345	41	28	.	.	PUNCT
ejpam-5345	42	1	geometric	geometric	ADJ
ejpam-5345	42	2	function	function	NOUN
ejpam-5345	42	3	theory	theory	NOUN
ejpam-5345	42	4	have	have	AUX
ejpam-5345	42	5	built	build	VERB
ejpam-5345	42	6	and	and	CCONJ
ejpam-5345	42	7	studied	study	VERB
ejpam-5345	42	8	new	new	ADJ
ejpam-5345	42	9	classes	class	NOUN
ejpam-5345	42	10	of	of	ADP
ejpam-5345	42	11	analytic	analytic	ADJ
ejpam-5345	42	12	functions	function	NOUN
ejpam-5345	42	13	using	use	VERB
ejpam-5345	42	14	the	the	DET
ejpam-5345	42	15	q	q	NOUN
ejpam-5345	42	16	-	-	PUNCT
ejpam-5345	42	17	calculus	calculus	NOUN
ejpam-5345	42	18	and	and	CCONJ
ejpam-5345	42	19	the	the	DET
ejpam-5345	42	20	fractional	fractional	ADJ
ejpam-5345	42	21	q	q	NOUN
ejpam-5345	42	22	-	-	NOUN
ejpam-5345	42	23	calculus	calculus	NOUN
ejpam-5345	42	24	.	.	PUNCT
ejpam-5345	43	1	to	to	PART
ejpam-5345	43	2	construct	construct	VERB
ejpam-5345	43	3	a	a	DET
ejpam-5345	43	4	class	class	NOUN
ejpam-5345	43	5	of	of	ADP
ejpam-5345	43	6	q	q	ADJ
ejpam-5345	43	7	-	-	PUNCT
ejpam-5345	43	8	starlike	starlike	NOUN
ejpam-5345	43	9	functions	function	NOUN
ejpam-5345	43	10	in	in	ADP
ejpam-5345	43	11	d	d	PROPN
ejpam-5345	43	12	,	,	PUNCT
ejpam-5345	43	13	ismail	ismail	PROPN
ejpam-5345	43	14	et	et	PROPN
ejpam-5345	43	15	al	al	PROPN
ejpam-5345	43	16	.	.	PUNCT
ejpam-5345	44	1	[	[	X
ejpam-5345	44	2	23	23	NUM
ejpam-5345	44	3	]	]	PUNCT
ejpam-5345	44	4	first	first	ADV
ejpam-5345	44	5	used	use	VERB
ejpam-5345	44	6	the	the	DET
ejpam-5345	44	7	q	q	NOUN
ejpam-5345	44	8	-	-	NOUN
ejpam-5345	44	9	calculus	calculus	NOUN
ejpam-5345	44	10	(	(	PUNCT
ejpam-5345	44	11	∂q	∂q	NOUN
ejpam-5345	44	12	)	)	PUNCT
ejpam-5345	44	13	operator	operator	NOUN
ejpam-5345	44	14	,	,	PUNCT
ejpam-5345	44	15	which	which	PRON
ejpam-5345	44	16	was	be	AUX
ejpam-5345	44	17	created	create	VERB
ejpam-5345	44	18	by	by	ADP
ejpam-5345	44	19	jackson	jackson	PROPN
ejpam-5345	45	1	[	[	X
ejpam-5345	45	2	24	24	NUM
ejpam-5345	45	3	]	]	PUNCT
ejpam-5345	45	4	in	in	ADP
ejpam-5345	45	5	1909	1909	NUM
ejpam-5345	45	6	.	.	PUNCT
ejpam-5345	46	1	references	reference	NOUN
ejpam-5345	46	2	such	such	ADJ
ejpam-5345	46	3	as	as	ADP
ejpam-5345	46	4	[	[	X
ejpam-5345	46	5	6	6	NUM
ejpam-5345	46	6	,	,	PUNCT
ejpam-5345	46	7	26	26	NUM
ejpam-5345	46	8	,	,	PUNCT
ejpam-5345	46	9	31	31	NUM
ejpam-5345	46	10	,	,	PUNCT
ejpam-5345	46	11	35	35	NUM
ejpam-5345	46	12	,	,	PUNCT
ejpam-5345	46	13	36	36	NUM
ejpam-5345	46	14	]	]	PUNCT
ejpam-5345	46	15	provide	provide	VERB
ejpam-5345	46	16	more	more	ADJ
ejpam-5345	46	17	information	information	NOUN
ejpam-5345	46	18	on	on	ADP
ejpam-5345	46	19	q	q	NOUN
ejpam-5345	46	20	-	-	NOUN
ejpam-5345	46	21	calculus	calculus	NOUN
ejpam-5345	46	22	.	.	PUNCT
ejpam-5345	47	1	definition	definition	NOUN
ejpam-5345	47	2	2	2	NUM
ejpam-5345	47	3	.	.	PUNCT
ejpam-5345	47	4	jackson	jackson	PROPN
ejpam-5345	48	1	[	[	X
ejpam-5345	48	2	24	24	NUM
ejpam-5345	48	3	,	,	PUNCT
ejpam-5345	48	4	25	25	NUM
ejpam-5345	48	5	]	]	PUNCT
ejpam-5345	48	6	developed	develop	VERB
ejpam-5345	48	7	the	the	DET
ejpam-5345	48	8	following	follow	VERB
ejpam-5345	48	9	q	q	ADJ
ejpam-5345	48	10	-	-	ADJ
ejpam-5345	48	11	derivative	derivative	ADJ
ejpam-5345	48	12	operator	operator	NOUN
ejpam-5345	48	13	∂q	∂q	PROPN
ejpam-5345	48	14	for	for	ADP
ejpam-5345	48	15	an	an	DET
ejpam-5345	48	16	analytic	analytic	ADJ
ejpam-5345	48	17	function	function	NOUN
ejpam-5345	48	18	g	g	NOUN
ejpam-5345	48	19	as	as	SCONJ
ejpam-5345	48	20	follows	follow	VERB
ejpam-5345	48	21	:	:	PUNCT
ejpam-5345	48	22	∂qg(z	∂qg(z	ADJ
ejpam-5345	48	23	)	)	PUNCT
ejpam-5345	48	24	=	=	SYM
ejpam-5345	48	25	g(z)−	g(z)−	PROPN
ejpam-5345	48	26	g(qz	g(qz	NUM
ejpam-5345	48	27	)	)	PUNCT
ejpam-5345	48	28	(	(	PUNCT
ejpam-5345	48	29	1−	1−	NUM
ejpam-5345	48	30	q	q	NOUN
ejpam-5345	48	31	)	)	PUNCT
ejpam-5345	48	32	z	z	NOUN
ejpam-5345	48	33	,	,	PUNCT
ejpam-5345	48	34	0	0	PUNCT
ejpam-5345	48	35	<	<	X
ejpam-5345	48	36	q	q	X
ejpam-5345	48	37	<	<	X
ejpam-5345	48	38	1	1	NUM
ejpam-5345	48	39	;	;	PUNCT
ejpam-5345	48	40	z	z	PROPN
ejpam-5345	48	41	̸=	̸=	PROPN
ejpam-5345	48	42	0	0	NUM
ejpam-5345	48	43	.	.	PUNCT
ejpam-5345	49	1	it	it	PRON
ejpam-5345	49	2	is	be	AUX
ejpam-5345	49	3	evident	evident	ADJ
ejpam-5345	49	4	that	that	SCONJ
ejpam-5345	49	5	there	there	PRON
ejpam-5345	49	6	is	be	VERB
ejpam-5345	49	7	a	a	DET
ejpam-5345	49	8	limit	limit	NOUN
ejpam-5345	49	9	relationship	relationship	NOUN
ejpam-5345	49	10	:	:	PUNCT
ejpam-5345	49	11	lim	lim	PROPN
ejpam-5345	49	12	q→1−	q→1−	PROPN
ejpam-5345	49	13	∂qg(z	∂qg(z	PROPN
ejpam-5345	49	14	)	)	PUNCT
ejpam-5345	50	1	=	=	SYM
ejpam-5345	50	2	g	g	NOUN
ejpam-5345	50	3	′	′	NUM
ejpam-5345	50	4	(	(	PUNCT
ejpam-5345	50	5	z	z	NOUN
ejpam-5345	50	6	)	)	PUNCT
ejpam-5345	50	7	and	and	CCONJ
ejpam-5345	50	8	∂qg(0	∂qg(0	NOUN
ejpam-5345	50	9	)	)	PUNCT
ejpam-5345	50	10	=	=	SYM
ejpam-5345	51	1	g	g	NOUN
ejpam-5345	51	2	′	′	NUM
ejpam-5345	52	1	(	(	PUNCT
ejpam-5345	52	2	0	0	NUM
ejpam-5345	52	3	)	)	PUNCT
ejpam-5345	52	4	.	.	PUNCT
ejpam-5345	53	1	for	for	ADP
ejpam-5345	53	2	the	the	DET
ejpam-5345	53	3	function	function	NOUN
ejpam-5345	53	4	g	g	PROPN
ejpam-5345	53	5	∈	∈	PROPN
ejpam-5345	53	6	a	a	PRON
ejpam-5345	53	7	,	,	PUNCT
ejpam-5345	53	8	defined	define	VERB
ejpam-5345	53	9	by	by	ADP
ejpam-5345	53	10	(	(	PUNCT
ejpam-5345	53	11	1	1	NUM
ejpam-5345	53	12	)	)	PUNCT
ejpam-5345	53	13	,	,	PUNCT
ejpam-5345	53	14	we	we	PRON
ejpam-5345	53	15	deduce	deduce	VERB
ejpam-5345	53	16	the	the	DET
ejpam-5345	53	17	following	follow	VERB
ejpam-5345	53	18	series	series	PROPN
ejpam-5345	53	19	∂qg(z	∂qg(z	PROPN
ejpam-5345	53	20	)	)	PUNCT
ejpam-5345	53	21	=	=	SYM
ejpam-5345	54	1	1	1	NUM
ejpam-5345	54	2	+	+	NUM
ejpam-5345	54	3	∞∑	∞∑	NUM
ejpam-5345	54	4	j=2	j=2	PROPN
ejpam-5345	55	1	[	[	X
ejpam-5345	55	2	j]q	j]q	ADJ
ejpam-5345	55	3	dnz	dnz	NOUN
ejpam-5345	55	4	j−1	j−1	PROPN
ejpam-5345	55	5	,	,	PUNCT
ejpam-5345	55	6	where	where	SCONJ
ejpam-5345	55	7	[	[	X
ejpam-5345	55	8	j]q	j]q	NOUN
ejpam-5345	55	9	,	,	PUNCT
ejpam-5345	55	10	called	call	VERB
ejpam-5345	55	11	the	the	DET
ejpam-5345	55	12	q	q	NOUN
ejpam-5345	55	13	-	-	PUNCT
ejpam-5345	55	14	analogue	analogue	NOUN
ejpam-5345	55	15	of	of	ADP
ejpam-5345	55	16	j	j	PROPN
ejpam-5345	55	17	∈	∈	PROPN
ejpam-5345	55	18	n	n	PRON
ejpam-5345	55	19	is	be	AUX
ejpam-5345	55	20	given	give	VERB
ejpam-5345	55	21	by	by	ADP
ejpam-5345	55	22	[	[	X
ejpam-5345	55	23	j]q	j]q	NOUN
ejpam-5345	55	24	=	=	SYM
ejpam-5345	55	25	1−	1−	NUM
ejpam-5345	55	26	qj	qj	NUM
ejpam-5345	55	27	1−	1−	NUM
ejpam-5345	55	28	q	q	NOUN
ejpam-5345	55	29	,	,	PUNCT
ejpam-5345	55	30	j	j	PROPN
ejpam-5345	55	31	∈	∈	PROPN
ejpam-5345	55	32	n.	n.	PROPN
ejpam-5345	55	33	n.	n.	PROPN
ejpam-5345	55	34	k.	k.	PROPN
ejpam-5345	55	35	mishra	mishra	PROPN
ejpam-5345	55	36	,	,	PUNCT
ejpam-5345	55	37	m.	m.	PROPN
ejpam-5345	55	38	f.	f.	PROPN
ejpam-5345	55	39	khan	khan	PROPN
ejpam-5345	55	40	,	,	PUNCT
ejpam-5345	55	41	s.	s.	PROPN
ejpam-5345	55	42	a.	a.	PROPN
ejpam-5345	55	43	lone	lone	PROPN
ejpam-5345	55	44	/	/	SYM
ejpam-5345	55	45	eur	eur	PROPN
ejpam-5345	55	46	.	.	PUNCT
ejpam-5345	56	1	j.	j.	PROPN
ejpam-5345	56	2	pure	pure	PROPN
ejpam-5345	56	3	appl	appl	PROPN
ejpam-5345	56	4	.	.	PROPN
ejpam-5345	56	5	math	math	PROPN
ejpam-5345	56	6	,	,	PUNCT
ejpam-5345	56	7	17	17	NUM
ejpam-5345	56	8	(	(	PUNCT
ejpam-5345	56	9	4	4	NUM
ejpam-5345	56	10	)	)	PUNCT
ejpam-5345	56	11	(	(	PUNCT
ejpam-5345	56	12	2024	2024	NUM
ejpam-5345	56	13	)	)	PUNCT
ejpam-5345	56	14	,	,	PUNCT
ejpam-5345	56	15	2516	2516	NUM
ejpam-5345	56	16	-	-	SYM
ejpam-5345	56	17	2537	2537	NUM
ejpam-5345	56	18	2519	2519	NUM
ejpam-5345	56	19	as	as	ADP
ejpam-5345	56	20	q	q	PROPN
ejpam-5345	56	21	→	→	SYM
ejpam-5345	56	22	1−	1−	NUM
ejpam-5345	57	1	,	,	PUNCT
ejpam-5345	57	2	we	we	PRON
ejpam-5345	57	3	have	have	VERB
ejpam-5345	57	4	[	[	X
ejpam-5345	57	5	j]q	j]q	NOUN
ejpam-5345	57	6	→	→	SYM
ejpam-5345	57	7	j	j	PROPN
ejpam-5345	57	8	and	and	CCONJ
ejpam-5345	57	9	[	[	X
ejpam-5345	57	10	0]q	0]q	NOUN
ejpam-5345	57	11	→	→	SYM
ejpam-5345	57	12	0	0	X
ejpam-5345	57	13	.	.	PUNCT
ejpam-5345	58	1	fadipe	fadipe	PROPN
ejpam-5345	58	2	-	-	PUNCT
ejpam-5345	58	3	joseph	joseph	PROPN
ejpam-5345	58	4	et	et	PROPN
ejpam-5345	58	5	al	al	PROPN
ejpam-5345	58	6	.	.	PUNCT
ejpam-5345	59	1	[	[	X
ejpam-5345	59	2	12	12	NUM
ejpam-5345	59	3	]	]	PUNCT
ejpam-5345	59	4	recently	recently	ADV
ejpam-5345	59	5	(	(	PUNCT
ejpam-5345	59	6	2013	2013	NUM
ejpam-5345	59	7	)	)	PUNCT
ejpam-5345	59	8	defined	define	VERB
ejpam-5345	59	9	a	a	DET
ejpam-5345	59	10	modified	modify	VERB
ejpam-5345	59	11	sigmoid	sigmoid	NOUN
ejpam-5345	59	12	function	function	NOUN
ejpam-5345	59	13	,	,	PUNCT
ejpam-5345	59	14	ψ(s	ψ(s	PROPN
ejpam-5345	59	15	)	)	PUNCT
ejpam-5345	59	16	=	=	SYM
ejpam-5345	60	1	2	2	NUM
ejpam-5345	60	2	1+e−s	1+e−s	ADV
ejpam-5345	60	3	,	,	PUNCT
ejpam-5345	60	4	s	s	VERB
ejpam-5345	60	5	≥	≥	NOUN
ejpam-5345	60	6	0	0	NUM
ejpam-5345	60	7	,	,	PUNCT
ejpam-5345	60	8	and	and	CCONJ
ejpam-5345	60	9	showed	show	VERB
ejpam-5345	60	10	that	that	SCONJ
ejpam-5345	60	11	it	it	PRON
ejpam-5345	60	12	has	have	VERB
ejpam-5345	60	13	a	a	DET
ejpam-5345	60	14	positive	positive	ADJ
ejpam-5345	60	15	real	real	ADJ
ejpam-5345	60	16	part	part	NOUN
ejpam-5345	60	17	and	and	CCONJ
ejpam-5345	60	18	belongs	belong	VERB
ejpam-5345	60	19	to	to	ADP
ejpam-5345	60	20	the	the	DET
ejpam-5345	60	21	class	class	NOUN
ejpam-5345	60	22	p	p	NOUN
ejpam-5345	60	23	of	of	ADP
ejpam-5345	60	24	caratheodory	caratheodory	ADJ
ejpam-5345	60	25	functions	function	NOUN
ejpam-5345	60	26	.	.	PUNCT
ejpam-5345	61	1	definition	definition	NOUN
ejpam-5345	61	2	3	3	NUM
ejpam-5345	61	3	.	.	PUNCT
ejpam-5345	62	1	let	let	VERB
ejpam-5345	62	2	aψ	aψ	PRON
ejpam-5345	62	3	denote	denote	VERB
ejpam-5345	62	4	the	the	DET
ejpam-5345	62	5	family	family	NOUN
ejpam-5345	62	6	of	of	ADP
ejpam-5345	62	7	functions	function	NOUN
ejpam-5345	62	8	of	of	ADP
ejpam-5345	62	9	the	the	DET
ejpam-5345	62	10	form	form	NOUN
ejpam-5345	62	11	gψ(z	gψ(z	NOUN
ejpam-5345	62	12	)	)	PUNCT
ejpam-5345	62	13	=	=	SYM
ejpam-5345	63	1	z	z	NOUN
ejpam-5345	64	1	+	+	NOUN
ejpam-5345	64	2	∞∑	∞∑	NUM
ejpam-5345	64	3	j=2	j=2	NOUN
ejpam-5345	64	4	2	2	NUM
ejpam-5345	64	5	1	1	NUM
ejpam-5345	64	6	+	+	NUM
ejpam-5345	64	7	e−s	e−s	X
ejpam-5345	64	8	djz	djz	NOUN
ejpam-5345	64	9	j	j	NOUN
ejpam-5345	65	1	=	=	PUNCT
ejpam-5345	66	1	z	z	PROPN
ejpam-5345	67	1	+	+	CCONJ
ejpam-5345	67	2	∞∑	∞∑	PROPN
ejpam-5345	67	3	j=2	j=2	PROPN
ejpam-5345	67	4	ψ(s)djz	ψ(s)djz	PROPN
ejpam-5345	67	5	j	j	PROPN
ejpam-5345	67	6	,	,	PUNCT
ejpam-5345	67	7	(	(	PUNCT
ejpam-5345	67	8	3	3	X
ejpam-5345	67	9	)	)	PUNCT
ejpam-5345	67	10	where	where	SCONJ
ejpam-5345	67	11	ψ(s	ψ(s	ADJ
ejpam-5345	67	12	)	)	PUNCT
ejpam-5345	67	13	=	=	SYM
ejpam-5345	68	1	2	2	NUM
ejpam-5345	68	2	1+e−s	1+e−s	ADV
ejpam-5345	68	3	,	,	PUNCT
ejpam-5345	68	4	s	s	VERB
ejpam-5345	68	5	≥	≥	NOUN
ejpam-5345	68	6	0	0	NUM
ejpam-5345	68	7	,	,	PUNCT
ejpam-5345	68	8	is	be	AUX
ejpam-5345	68	9	a	a	DET
ejpam-5345	68	10	modified	modify	VERB
ejpam-5345	68	11	sigmoid	sigmoid	NOUN
ejpam-5345	68	12	function	function	NOUN
ejpam-5345	68	13	.	.	PUNCT
ejpam-5345	69	1	clearly	clearly	ADV
ejpam-5345	69	2	ψ(0	ψ(0	VERB
ejpam-5345	69	3	)	)	PUNCT
ejpam-5345	69	4	=	=	SYM
ejpam-5345	69	5	1	1	NUM
ejpam-5345	69	6	and	and	CCONJ
ejpam-5345	69	7	hence	hence	ADV
ejpam-5345	69	8	a1	a1	VERB
ejpam-5345	69	9	=	=	PUNCT
ejpam-5345	69	10	a	a	DET
ejpam-5345	69	11	(	(	PUNCT
ejpam-5345	69	12	see	see	VERB
ejpam-5345	69	13	also	also	ADV
ejpam-5345	69	14	[	[	X
ejpam-5345	69	15	13	13	NUM
ejpam-5345	69	16	]	]	NUM
ejpam-5345	69	17	)	)	PUNCT
ejpam-5345	69	18	.	.	PUNCT
ejpam-5345	70	1	now	now	ADV
ejpam-5345	70	2	we	we	PRON
ejpam-5345	70	3	use	use	VERB
ejpam-5345	70	4	the	the	DET
ejpam-5345	70	5	definitions	definition	NOUN
ejpam-5345	70	6	of	of	ADP
ejpam-5345	70	7	modified	modify	VERB
ejpam-5345	70	8	sigmoid	sigmoid	NOUN
ejpam-5345	70	9	function	function	NOUN
ejpam-5345	70	10	gψ(z	gψ(z	NOUN
ejpam-5345	70	11	)	)	PUNCT
ejpam-5345	70	12	and	and	CCONJ
ejpam-5345	70	13	q	q	ADJ
ejpam-5345	70	14	-	-	PUNCT
ejpam-5345	70	15	difference	difference	NOUN
ejpam-5345	70	16	operator	operator	NOUN
ejpam-5345	70	17	∂q	∂q	PROPN
ejpam-5345	70	18	,	,	PUNCT
ejpam-5345	70	19	we	we	PRON
ejpam-5345	70	20	define	define	VERB
ejpam-5345	70	21	a	a	DET
ejpam-5345	70	22	modified	modify	VERB
ejpam-5345	70	23	sigmoid	sigmoid	NOUN
ejpam-5345	70	24	sălăgean	sălăgean	ADJ
ejpam-5345	70	25	q	q	ADJ
ejpam-5345	70	26	-	-	PUNCT
ejpam-5345	70	27	differential	differential	ADJ
ejpam-5345	70	28	operator	operator	NOUN
ejpam-5345	70	29	dk	dk	PRON
ejpam-5345	70	30	q	q	NOUN
ejpam-5345	70	31	:	:	PUNCT
ejpam-5345	70	32	aψ	aψ	PROPN
ejpam-5345	70	33	→	→	SYM
ejpam-5345	70	34	aψ	aψ	NOUN
ejpam-5345	70	35	as	as	SCONJ
ejpam-5345	70	36	follows	follow	VERB
ejpam-5345	70	37	:	:	PUNCT
ejpam-5345	70	38	definition	definition	NOUN
ejpam-5345	70	39	4	4	NUM
ejpam-5345	70	40	.	.	PUNCT
ejpam-5345	71	1	for	for	ADP
ejpam-5345	71	2	gψ	gψ	ADJ
ejpam-5345	71	3	∈	∈	PROPN
ejpam-5345	71	4	aψ	aψ	NOUN
ejpam-5345	71	5	,	,	PUNCT
ejpam-5345	71	6	k	k	PROPN
ejpam-5345	71	7	∈	∈	PROPN
ejpam-5345	71	8	n∪{0	n∪{0	NOUN
ejpam-5345	71	9	}	}	PUNCT
ejpam-5345	71	10	,	,	PUNCT
ejpam-5345	71	11	the	the	DET
ejpam-5345	71	12	sălăgean	sălăgean	ADJ
ejpam-5345	71	13	q	q	ADJ
ejpam-5345	71	14	-	-	PUNCT
ejpam-5345	71	15	differential	differential	ADJ
ejpam-5345	71	16	operator	operator	NOUN
ejpam-5345	71	17	dk	dk	PRON
ejpam-5345	71	18	q	q	NOUN
ejpam-5345	71	19	:	:	PUNCT
ejpam-5345	71	20	aψ	aψ	PROPN
ejpam-5345	71	21	→	→	SYM
ejpam-5345	71	22	aψ	aψ	PROPN
ejpam-5345	71	23	,	,	PUNCT
ejpam-5345	71	24	is	be	AUX
ejpam-5345	71	25	defined	define	VERB
ejpam-5345	71	26	by	by	ADP
ejpam-5345	71	27	d0	d0	PROPN
ejpam-5345	71	28	qgψ(z	qgψ(z	PROPN
ejpam-5345	71	29	)	)	PUNCT
ejpam-5345	71	30	=	=	SYM
ejpam-5345	71	31	gψ(z	gψ(z	NOUN
ejpam-5345	71	32	)	)	PUNCT
ejpam-5345	71	33	,	,	PUNCT
ejpam-5345	71	34	d	d	NOUN
ejpam-5345	71	35	1	1	NUM
ejpam-5345	71	36	qgψ(z	qgψ(z	NUM
ejpam-5345	71	37	)	)	PUNCT
ejpam-5345	71	38	=	=	SYM
ejpam-5345	71	39	z∂qgψ(z	z∂qgψ(z	NOUN
ejpam-5345	71	40	)	)	PUNCT
ejpam-5345	71	41	,	,	PUNCT
ejpam-5345	71	42	...	...	PUNCT
ejpam-5345	71	43	,	,	PUNCT
ejpam-5345	72	1	d	d	X
ejpam-5345	72	2	k	k	X
ejpam-5345	72	3	q	q	X
ejpam-5345	72	4	gψ(z	gψ(z	NOUN
ejpam-5345	72	5	)	)	PUNCT
ejpam-5345	73	1	=	=	PUNCT
ejpam-5345	73	2	∂q(d	∂q(d	PROPN
ejpam-5345	73	3	k−1	k−1	PROPN
ejpam-5345	73	4	q	q	PROPN
ejpam-5345	73	5	gψ(z	gψ(z	NOUN
ejpam-5345	73	6	)	)	PUNCT
ejpam-5345	73	7	)	)	PUNCT
ejpam-5345	73	8	,	,	PUNCT
ejpam-5345	73	9	z	z	PROPN
ejpam-5345	73	10	∈	∈	PROPN
ejpam-5345	73	11	d.	d.	NOUN
ejpam-5345	73	12	for	for	ADP
ejpam-5345	73	13	gψ	gψ	ADJ
ejpam-5345	73	14	∈	∈	PROPN
ejpam-5345	73	15	aψ	aψ	NOUN
ejpam-5345	73	16	,	,	PUNCT
ejpam-5345	73	17	defined	define	VERB
ejpam-5345	73	18	by	by	ADP
ejpam-5345	73	19	(	(	PUNCT
ejpam-5345	73	20	3	3	NUM
ejpam-5345	73	21	)	)	PUNCT
ejpam-5345	73	22	,	,	PUNCT
ejpam-5345	73	23	we	we	PRON
ejpam-5345	73	24	deduce	deduce	VERB
ejpam-5345	73	25	the	the	DET
ejpam-5345	73	26	following	follow	VERB
ejpam-5345	73	27	series	series	NOUN
ejpam-5345	73	28	:	:	PUNCT
ejpam-5345	73	29	dk	dk	PROPN
ejpam-5345	73	30	q	q	NOUN
ejpam-5345	73	31	gψ(z	gψ(z	NOUN
ejpam-5345	73	32	)	)	PUNCT
ejpam-5345	73	33	=	=	SYM
ejpam-5345	74	1	z	z	NOUN
ejpam-5345	75	1	+	+	NOUN
ejpam-5345	75	2	∞∑	∞∑	NUM
ejpam-5345	75	3	j=2	j=2	PROPN
ejpam-5345	76	1	[	[	X
ejpam-5345	76	2	j]kq	j]kq	PROPN
ejpam-5345	76	3	ψ(s)djz	ψ(s)djz	PROPN
ejpam-5345	76	4	j	j	PROPN
ejpam-5345	76	5	.	.	PUNCT
ejpam-5345	77	1	(	(	PUNCT
ejpam-5345	77	2	4	4	X
ejpam-5345	77	3	)	)	PUNCT
ejpam-5345	77	4	remark	remark	NOUN
ejpam-5345	77	5	1	1	NUM
ejpam-5345	77	6	.	.	PUNCT
ejpam-5345	78	1	when	when	SCONJ
ejpam-5345	78	2	s	s	VERB
ejpam-5345	78	3	=	=	NOUN
ejpam-5345	78	4	0	0	X
ejpam-5345	78	5	then	then	ADV
ejpam-5345	78	6	ψ(s	ψ(s	NUM
ejpam-5345	78	7	)	)	PUNCT
ejpam-5345	78	8	=	=	SYM
ejpam-5345	79	1	1	1	NUM
ejpam-5345	79	2	,	,	PUNCT
ejpam-5345	79	3	then	then	ADV
ejpam-5345	79	4	we	we	PRON
ejpam-5345	79	5	have	have	VERB
ejpam-5345	79	6	the	the	DET
ejpam-5345	79	7	sălăgean	sălăgean	ADJ
ejpam-5345	79	8	q	q	ADJ
ejpam-5345	79	9	-	-	PUNCT
ejpam-5345	79	10	differential	differential	ADJ
ejpam-5345	79	11	operator	operator	NOUN
ejpam-5345	79	12	[	[	X
ejpam-5345	79	13	19	19	NUM
ejpam-5345	79	14	]	]	PUNCT
ejpam-5345	79	15	.	.	PUNCT
ejpam-5345	80	1	remark	remark	PROPN
ejpam-5345	80	2	2	2	NUM
ejpam-5345	80	3	.	.	PUNCT
ejpam-5345	81	1	when	when	SCONJ
ejpam-5345	81	2	q	q	X
ejpam-5345	81	3	→	→	SYM
ejpam-5345	81	4	1−	1−	NUM
ejpam-5345	81	5	,	,	PUNCT
ejpam-5345	81	6	and	and	CCONJ
ejpam-5345	81	7	ψ(s	ψ(s	NUM
ejpam-5345	81	8	)	)	PUNCT
ejpam-5345	81	9	=	=	SYM
ejpam-5345	81	10	1	1	NUM
ejpam-5345	81	11	,	,	PUNCT
ejpam-5345	81	12	then	then	ADV
ejpam-5345	81	13	we	we	PRON
ejpam-5345	81	14	have	have	VERB
ejpam-5345	81	15	the	the	DET
ejpam-5345	81	16	sălăgean	sălăgean	ADJ
ejpam-5345	81	17	differential	differential	NOUN
ejpam-5345	81	18	operator	operator	NOUN
ejpam-5345	81	19	[	[	X
ejpam-5345	81	20	33	33	NUM
ejpam-5345	81	21	]	]	PUNCT
ejpam-5345	81	22	.	.	PUNCT
ejpam-5345	82	1	the	the	DET
ejpam-5345	82	2	horadam	horadam	PROPN
ejpam-5345	82	3	polynomials	polynomial	NOUN
ejpam-5345	82	4	υj(y	υj(y	NUM
ejpam-5345	82	5	)	)	PUNCT
ejpam-5345	82	6	were	be	AUX
ejpam-5345	82	7	used	use	VERB
ejpam-5345	82	8	in	in	ADP
ejpam-5345	82	9	a	a	DET
ejpam-5345	82	10	comparable	comparable	ADJ
ejpam-5345	82	11	setting	setting	NOUN
ejpam-5345	82	12	by	by	ADP
ejpam-5345	82	13	srivastava	srivastava	PROPN
ejpam-5345	82	14	et	et	PROPN
ejpam-5345	82	15	al	al	PROPN
ejpam-5345	82	16	.	.	PUNCT
ejpam-5345	83	1	[	[	X
ejpam-5345	83	2	41	41	NUM
ejpam-5345	83	3	]	]	PUNCT
ejpam-5345	83	4	.	.	PUNCT
ejpam-5345	84	1	the	the	DET
ejpam-5345	84	2	well	well	ADV
ejpam-5345	84	3	-	-	PUNCT
ejpam-5345	84	4	known	know	VERB
ejpam-5345	84	5	horadam	horadam	NOUN
ejpam-5345	84	6	polynomials	polynomial	NOUN
ejpam-5345	84	7	υj(y	υj(y	NUM
ejpam-5345	84	8	)	)	PUNCT
ejpam-5345	84	9	,	,	PUNCT
ejpam-5345	84	10	as	as	SCONJ
ejpam-5345	84	11	defined	define	VERB
ejpam-5345	84	12	in	in	ADP
ejpam-5345	84	13	definition	definition	NOUN
ejpam-5345	84	14	5	5	NUM
ejpam-5345	84	15	in	in	ADP
ejpam-5345	84	16	the	the	DET
ejpam-5345	84	17	field	field	NOUN
ejpam-5345	84	18	of	of	ADP
ejpam-5345	84	19	geometric	geometric	ADJ
ejpam-5345	84	20	function	function	NOUN
ejpam-5345	84	21	theory	theory	NOUN
ejpam-5345	84	22	of	of	ADP
ejpam-5345	84	23	complex	complex	ADJ
ejpam-5345	84	24	analysis	analysis	NOUN
ejpam-5345	84	25	,	,	PUNCT
ejpam-5345	84	26	were	be	AUX
ejpam-5345	84	27	recently	recently	ADV
ejpam-5345	84	28	examined	examine	VERB
ejpam-5345	84	29	by	by	ADP
ejpam-5345	84	30	hörçum	hörçum	ADJ
ejpam-5345	84	31	and	and	CCONJ
ejpam-5345	84	32	koçer	koçer	PROPN
ejpam-5345	85	1	[	[	X
ejpam-5345	85	2	22	22	NUM
ejpam-5345	85	3	]	]	PUNCT
ejpam-5345	85	4	,	,	PUNCT
ejpam-5345	85	5	see	see	VERB
ejpam-5345	85	6	also	also	ADV
ejpam-5345	85	7	[	[	X
ejpam-5345	85	8	21	21	NUM
ejpam-5345	85	9	]	]	PUNCT
ejpam-5345	85	10	.	.	PUNCT
ejpam-5345	86	1	definition	definition	NOUN
ejpam-5345	86	2	5	5	NUM
ejpam-5345	86	3	.	.	PUNCT
ejpam-5345	87	1	(	(	PUNCT
ejpam-5345	87	2	[	[	X
ejpam-5345	87	3	21	21	NUM
ejpam-5345	87	4	,	,	PUNCT
ejpam-5345	87	5	22	22	NUM
ejpam-5345	87	6	]	]	PUNCT
ejpam-5345	87	7	)	)	PUNCT
ejpam-5345	87	8	.	.	PUNCT
ejpam-5345	88	1	the	the	DET
ejpam-5345	88	2	following	follow	VERB
ejpam-5345	88	3	recurrence	recurrence	NOUN
ejpam-5345	88	4	relation	relation	NOUN
ejpam-5345	88	5	gives	give	VERB
ejpam-5345	88	6	the	the	DET
ejpam-5345	88	7	horadam	horadam	PROPN
ejpam-5345	88	8	polynomials	polynomial	NOUN
ejpam-5345	88	9	υj(y	υj(y	NUM
ejpam-5345	88	10	,	,	PUNCT
ejpam-5345	88	11	a	a	DET
ejpam-5345	88	12	,	,	PUNCT
ejpam-5345	88	13	b	b	NOUN
ejpam-5345	88	14	;	;	PUNCT
ejpam-5345	88	15	p	p	X
ejpam-5345	88	16	,	,	PUNCT
ejpam-5345	88	17	t	t	PROPN
ejpam-5345	88	18	)	)	PUNCT
ejpam-5345	88	19	(	(	PUNCT
ejpam-5345	88	20	or	or	CCONJ
ejpam-5345	88	21	briefly	briefly	ADV
ejpam-5345	88	22	υj(y	υj(y	NUM
ejpam-5345	88	23	)	)	PUNCT
ejpam-5345	88	24	):	):	PUNCT
ejpam-5345	88	25	υj(y	υj(y	NUM
ejpam-5345	88	26	)	)	PUNCT
ejpam-5345	88	27	=	=	SYM
ejpam-5345	88	28	pyυj−1(y	pyυj−1(y	NOUN
ejpam-5345	88	29	)	)	PUNCT
ejpam-5345	88	30	+	+	NUM
ejpam-5345	88	31	tυj−2(y	tυj−2(y	X
ejpam-5345	88	32	)	)	PUNCT
ejpam-5345	88	33	(	(	PUNCT
ejpam-5345	88	34	5	5	NUM
ejpam-5345	88	35	)	)	PUNCT
ejpam-5345	88	36	with	with	ADP
ejpam-5345	88	37	υ1(y	υ1(y	PROPN
ejpam-5345	88	38	)	)	PUNCT
ejpam-5345	88	39	=	=	SYM
ejpam-5345	88	40	a	a	PRON
ejpam-5345	88	41	,	,	PUNCT
ejpam-5345	88	42	υ2(y	υ2(y	PROPN
ejpam-5345	88	43	)	)	PUNCT
ejpam-5345	88	44	=	=	PUNCT
ejpam-5345	88	45	by	by	ADP
ejpam-5345	88	46	,	,	PUNCT
ejpam-5345	88	47	n.	n.	PROPN
ejpam-5345	88	48	k.	k.	PROPN
ejpam-5345	88	49	mishra	mishra	PROPN
ejpam-5345	88	50	,	,	PUNCT
ejpam-5345	88	51	m.	m.	PROPN
ejpam-5345	88	52	f.	f.	PROPN
ejpam-5345	88	53	khan	khan	PROPN
ejpam-5345	88	54	,	,	PUNCT
ejpam-5345	88	55	s.	s.	PROPN
ejpam-5345	88	56	a.	a.	PROPN
ejpam-5345	88	57	lone	lone	PROPN
ejpam-5345	88	58	/	/	SYM
ejpam-5345	88	59	eur	eur	PROPN
ejpam-5345	88	60	.	.	PUNCT
ejpam-5345	89	1	j.	j.	PROPN
ejpam-5345	89	2	pure	pure	PROPN
ejpam-5345	89	3	appl	appl	PROPN
ejpam-5345	89	4	.	.	PROPN
ejpam-5345	89	5	math	math	PROPN
ejpam-5345	89	6	,	,	PUNCT
ejpam-5345	89	7	17	17	NUM
ejpam-5345	89	8	(	(	PUNCT
ejpam-5345	89	9	4	4	NUM
ejpam-5345	89	10	)	)	PUNCT
ejpam-5345	89	11	(	(	PUNCT
ejpam-5345	89	12	2024	2024	NUM
ejpam-5345	89	13	)	)	PUNCT
ejpam-5345	89	14	,	,	PUNCT
ejpam-5345	89	15	2516	2516	NUM
ejpam-5345	89	16	-	-	SYM
ejpam-5345	89	17	2537	2537	NUM
ejpam-5345	89	18	2520	2520	NUM
ejpam-5345	89	19	where	where	SCONJ
ejpam-5345	89	20	j	j	PROPN
ejpam-5345	89	21	∈	∈	PROPN
ejpam-5345	89	22	n	n	NOUN
ejpam-5345	89	23	=	=	PUNCT
ejpam-5345	89	24	{	{	PUNCT
ejpam-5345	89	25	1	1	NUM
ejpam-5345	89	26	,	,	PUNCT
ejpam-5345	89	27	2	2	NUM
ejpam-5345	89	28	,	,	PUNCT
ejpam-5345	89	29	...	...	PUNCT
ejpam-5345	89	30	}	}	PUNCT
ejpam-5345	89	31	,	,	PUNCT
ejpam-5345	89	32	y	y	PROPN
ejpam-5345	89	33	∈	∈	PROPN
ejpam-5345	89	34	r	r	PROPN
ejpam-5345	89	35	,	,	PUNCT
ejpam-5345	89	36	a	a	DET
ejpam-5345	89	37	,	,	PUNCT
ejpam-5345	89	38	b	b	NOUN
ejpam-5345	89	39	,	,	PUNCT
ejpam-5345	89	40	p	p	NOUN
ejpam-5345	89	41	and	and	CCONJ
ejpam-5345	89	42	t	t	PROPN
ejpam-5345	89	43	are	be	AUX
ejpam-5345	89	44	real	real	ADJ
ejpam-5345	89	45	constants	constant	NOUN
ejpam-5345	89	46	.	.	PUNCT
ejpam-5345	90	1	from	from	ADP
ejpam-5345	90	2	(	(	PUNCT
ejpam-5345	90	3	5	5	X
ejpam-5345	90	4	)	)	PUNCT
ejpam-5345	90	5	we	we	PRON
ejpam-5345	90	6	have	have	VERB
ejpam-5345	90	7	υ3(y	υ3(y	PROPN
ejpam-5345	90	8	)	)	PUNCT
ejpam-5345	90	9	=	=	SYM
ejpam-5345	90	10	pby2	pby2	NOUN
ejpam-5345	90	11	+	+	CCONJ
ejpam-5345	90	12	ta	ta	X
ejpam-5345	90	13	.	.	PUNCT
ejpam-5345	91	1	in	in	ADP
ejpam-5345	91	2	addition	addition	NOUN
ejpam-5345	91	3	,	,	PUNCT
ejpam-5345	91	4	the	the	DET
ejpam-5345	91	5	characteristic	characteristic	ADJ
ejpam-5345	91	6	equation	equation	NOUN
ejpam-5345	91	7	for	for	ADP
ejpam-5345	91	8	the	the	DET
ejpam-5345	91	9	recurrence	recurrence	NOUN
ejpam-5345	91	10	relation	relation	NOUN
ejpam-5345	91	11	(	(	PUNCT
ejpam-5345	91	12	5	5	NUM
ejpam-5345	91	13	)	)	PUNCT
ejpam-5345	91	14	is	be	AUX
ejpam-5345	91	15	provided	provide	VERB
ejpam-5345	91	16	by	by	ADP
ejpam-5345	91	17	s2	s2	PROPN
ejpam-5345	91	18	−	−	PROPN
ejpam-5345	91	19	pys−	pys−	PROPN
ejpam-5345	91	20	t	t	PROPN
ejpam-5345	91	21	=	=	SYM
ejpam-5345	91	22	0	0	PROPN
ejpam-5345	91	23	,	,	PUNCT
ejpam-5345	91	24	where	where	SCONJ
ejpam-5345	91	25	β1	β1	PROPN
ejpam-5345	91	26	=	=	PRON
ejpam-5345	91	27	py	py	PROPN
ejpam-5345	91	28	+	+	CCONJ
ejpam-5345	91	29	√	√	ADJ
ejpam-5345	91	30	p2y2	p2y2	NOUN
ejpam-5345	92	1	+	+	NOUN
ejpam-5345	92	2	4	4	NUM
ejpam-5345	92	3	t	t	NOUN
ejpam-5345	92	4	2	2	NUM
ejpam-5345	92	5	and	and	CCONJ
ejpam-5345	92	6	β2	β2	NOUN
ejpam-5345	92	7	=	=	PROPN
ejpam-5345	92	8	py	py	PROPN
ejpam-5345	92	9	−	−	PROPN
ejpam-5345	93	1	√	√	PROPN
ejpam-5345	93	2	p2y2	p2y2	X
ejpam-5345	94	1	+	+	NOUN
ejpam-5345	94	2	4	4	NUM
ejpam-5345	94	3	t	t	NOUN
ejpam-5345	94	4	2	2	NUM
ejpam-5345	94	5	are	be	AUX
ejpam-5345	94	6	two	two	NUM
ejpam-5345	94	7	real	real	ADJ
ejpam-5345	94	8	roots	root	NOUN
ejpam-5345	94	9	.	.	PUNCT
ejpam-5345	95	1	the	the	DET
ejpam-5345	95	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	95	3	,	,	PUNCT
ejpam-5345	95	4	z	z	NOUN
ejpam-5345	95	5	)	)	PUNCT
ejpam-5345	95	6	is	be	AUX
ejpam-5345	95	7	the	the	DET
ejpam-5345	95	8	generating	generate	VERB
ejpam-5345	95	9	function	function	NOUN
ejpam-5345	95	10	of	of	ADP
ejpam-5345	95	11	υj(y	υj(y	NUM
ejpam-5345	95	12	)	)	PUNCT
ejpam-5345	95	13	is	be	AUX
ejpam-5345	95	14	given	give	VERB
ejpam-5345	95	15	below	below	ADV
ejpam-5345	95	16	(	(	PUNCT
ejpam-5345	95	17	see	see	VERB
ejpam-5345	95	18	[	[	X
ejpam-5345	95	19	22	22	NUM
ejpam-5345	95	20	]	]	PUNCT
ejpam-5345	95	21	):	):	PUNCT
ejpam-5345	95	22	𭟋(y	𭟋(y	PROPN
ejpam-5345	95	23	,	,	PUNCT
ejpam-5345	95	24	z	z	NOUN
ejpam-5345	95	25	)	)	PUNCT
ejpam-5345	95	26	:	:	PUNCT
ejpam-5345	96	1	=	=	NOUN
ejpam-5345	96	2	∞∑	∞∑	NUM
ejpam-5345	96	3	j=1	j=1	NOUN
ejpam-5345	96	4	υj(y)z	υj(y)z	PROPN
ejpam-5345	96	5	j−1	j−1	PROPN
ejpam-5345	96	6	=	=	PRON
ejpam-5345	96	7	a+	a+	PUNCT
ejpam-5345	96	8	(	(	PUNCT
ejpam-5345	96	9	b−	b−	NOUN
ejpam-5345	96	10	ap)yz	ap)yz	PROPN
ejpam-5345	96	11	1−	1−	NUM
ejpam-5345	96	12	pyz	pyz	VERB
ejpam-5345	96	13	−	−	PROPN
ejpam-5345	96	14	tz2	tz2	NOUN
ejpam-5345	96	15	,	,	PUNCT
ejpam-5345	96	16	(	(	PUNCT
ejpam-5345	96	17	6	6	NUM
ejpam-5345	96	18	)	)	PUNCT
ejpam-5345	96	19	where	where	SCONJ
ejpam-5345	96	20	y	y	PROPN
ejpam-5345	96	21	∈	∈	PROPN
ejpam-5345	96	22	r	r	NOUN
ejpam-5345	96	23	is	be	AUX
ejpam-5345	96	24	independent	independent	ADJ
ejpam-5345	96	25	of	of	ADP
ejpam-5345	96	26	the	the	DET
ejpam-5345	96	27	argument	argument	NOUN
ejpam-5345	96	28	z	z	X
ejpam-5345	96	29	∈	∈	PROPN
ejpam-5345	96	30	c	c	X
ejpam-5345	96	31	,	,	PUNCT
ejpam-5345	96	32	that	that	PRON
ejpam-5345	96	33	is	is	ADV
ejpam-5345	96	34	y	y	PROPN
ejpam-5345	96	35	̸=	̸=	PROPN
ejpam-5345	96	36	ℜ(z	ℜ(z	NUM
ejpam-5345	96	37	)	)	PUNCT
ejpam-5345	96	38	.	.	PUNCT
ejpam-5345	97	1	remark	remark	PROPN
ejpam-5345	97	2	3	3	NUM
ejpam-5345	97	3	.	.	PUNCT
ejpam-5345	97	4	by	by	ADP
ejpam-5345	97	5	selecting	select	VERB
ejpam-5345	97	6	the	the	DET
ejpam-5345	97	7	parameters	parameter	NOUN
ejpam-5345	97	8	a	a	PRON
ejpam-5345	97	9	,	,	PUNCT
ejpam-5345	97	10	b	b	PROPN
ejpam-5345	97	11	,	,	PUNCT
ejpam-5345	97	12	p	p	X
ejpam-5345	97	13	,	,	PUNCT
ejpam-5345	97	14	and	and	CCONJ
ejpam-5345	97	15	t	t	PROPN
ejpam-5345	97	16	properly	properly	ADV
ejpam-5345	97	17	,	,	PUNCT
ejpam-5345	97	18	we	we	PRON
ejpam-5345	97	19	present	present	VERB
ejpam-5345	97	20	here	here	ADV
ejpam-5345	97	21	a	a	DET
ejpam-5345	97	22	few	few	ADJ
ejpam-5345	97	23	unique	unique	ADJ
ejpam-5345	97	24	instances	instance	NOUN
ejpam-5345	97	25	of	of	ADP
ejpam-5345	97	26	υj(y	υj(y	NOUN
ejpam-5345	97	27	,	,	PUNCT
ejpam-5345	97	28	a	a	DET
ejpam-5345	97	29	,	,	PUNCT
ejpam-5345	97	30	b	b	NOUN
ejpam-5345	97	31	;	;	PUNCT
ejpam-5345	97	32	p	p	X
ejpam-5345	97	33	,	,	PUNCT
ejpam-5345	97	34	t	t	PROPN
ejpam-5345	97	35	)	)	PUNCT
ejpam-5345	97	36	.	.	PUNCT
ejpam-5345	98	1	(	(	PUNCT
ejpam-5345	98	2	i	i	NOUN
ejpam-5345	98	3	):	):	PUNCT
ejpam-5345	98	4	υj(y	υj(y	ADJ
ejpam-5345	98	5	,	,	PUNCT
ejpam-5345	98	6	2	2	NUM
ejpam-5345	98	7	,	,	PUNCT
ejpam-5345	98	8	2	2	NUM
ejpam-5345	98	9	;	;	PUNCT
ejpam-5345	98	10	2	2	NUM
ejpam-5345	98	11	,	,	PUNCT
ejpam-5345	98	12	1	1	NUM
ejpam-5345	98	13	)	)	PUNCT
ejpam-5345	98	14	=	=	PRON
ejpam-5345	98	15	qj(y	qj(y	NUM
ejpam-5345	98	16	)	)	PUNCT
ejpam-5345	98	17	,	,	PUNCT
ejpam-5345	98	18	the	the	DET
ejpam-5345	98	19	pell	pell	NOUN
ejpam-5345	98	20	-	-	PUNCT
ejpam-5345	98	21	lucas	lucas	NOUN
ejpam-5345	98	22	polynomials	polynomial	NOUN
ejpam-5345	98	23	.	.	PUNCT
ejpam-5345	99	1	(	(	PUNCT
ejpam-5345	99	2	ii	ii	NOUN
ejpam-5345	99	3	):	):	PUNCT
ejpam-5345	99	4	υj(y	υj(y	VERB
ejpam-5345	99	5	,	,	PUNCT
ejpam-5345	99	6	1	1	NUM
ejpam-5345	99	7	,	,	PUNCT
ejpam-5345	99	8	1	1	NUM
ejpam-5345	99	9	;	;	PUNCT
ejpam-5345	99	10	2,−1	2,−1	NUM
ejpam-5345	99	11	)	)	PUNCT
ejpam-5345	99	12	=	=	SYM
ejpam-5345	100	1	tj(y	tj(y	NUM
ejpam-5345	100	2	)	)	PUNCT
ejpam-5345	100	3	,	,	PUNCT
ejpam-5345	101	1	the	the	DET
ejpam-5345	101	2	first	first	ADJ
ejpam-5345	101	3	kind	kind	NOUN
ejpam-5345	101	4	chebyshev	chebyshev	NOUN
ejpam-5345	101	5	polynomials	polynomial	NOUN
ejpam-5345	101	6	.	.	PUNCT
ejpam-5345	102	1	(	(	PUNCT
ejpam-5345	102	2	iii	iii	NOUN
ejpam-5345	102	3	):	):	PUNCT
ejpam-5345	102	4	υj(y	υj(y	VERB
ejpam-5345	102	5	,	,	PUNCT
ejpam-5345	102	6	1	1	NUM
ejpam-5345	102	7	,	,	PUNCT
ejpam-5345	102	8	2	2	NUM
ejpam-5345	102	9	;	;	PUNCT
ejpam-5345	102	10	2,−1	2,−1	NUM
ejpam-5345	102	11	)	)	PUNCT
ejpam-5345	102	12	=	=	SYM
ejpam-5345	102	13	uj(y	uj(y	PROPN
ejpam-5345	102	14	)	)	PUNCT
ejpam-5345	102	15	,	,	PUNCT
ejpam-5345	102	16	the	the	DET
ejpam-5345	102	17	second	second	ADJ
ejpam-5345	102	18	kind	kind	NOUN
ejpam-5345	102	19	chebyshev	chebyshev	NOUN
ejpam-5345	102	20	polynomials	polynomial	NOUN
ejpam-5345	102	21	.	.	PUNCT
ejpam-5345	103	1	(	(	PUNCT
ejpam-5345	103	2	iv	iv	NUM
ejpam-5345	103	3	):	):	PUNCT
ejpam-5345	103	4	υj(y	υj(y	VERB
ejpam-5345	103	5	,	,	PUNCT
ejpam-5345	103	6	1	1	NUM
ejpam-5345	103	7	,	,	PUNCT
ejpam-5345	103	8	1	1	NUM
ejpam-5345	103	9	;	;	PUNCT
ejpam-5345	103	10	1	1	NUM
ejpam-5345	103	11	,	,	PUNCT
ejpam-5345	103	12	1	1	NUM
ejpam-5345	103	13	)	)	PUNCT
ejpam-5345	103	14	=	=	SYM
ejpam-5345	103	15	fj(y	fj(y	PROPN
ejpam-5345	103	16	)	)	PUNCT
ejpam-5345	103	17	,	,	PUNCT
ejpam-5345	103	18	the	the	DET
ejpam-5345	103	19	fibonacci	fibonacci	NOUN
ejpam-5345	103	20	polynomials	polynomial	VERB
ejpam-5345	103	21	.	.	PUNCT
ejpam-5345	104	1	(	(	PUNCT
ejpam-5345	104	2	v	v	NOUN
ejpam-5345	104	3	):	):	PUNCT
ejpam-5345	104	4	υj(y	υj(y	ADJ
ejpam-5345	104	5	,	,	PUNCT
ejpam-5345	104	6	2	2	NUM
ejpam-5345	104	7	,	,	PUNCT
ejpam-5345	104	8	1	1	NUM
ejpam-5345	104	9	;	;	PUNCT
ejpam-5345	104	10	1	1	NUM
ejpam-5345	104	11	,	,	PUNCT
ejpam-5345	104	12	1	1	NUM
ejpam-5345	104	13	)	)	PUNCT
ejpam-5345	104	14	=	=	NOUN
ejpam-5345	104	15	lj(y	lj(y	PROPN
ejpam-5345	104	16	)	)	PUNCT
ejpam-5345	104	17	,	,	PUNCT
ejpam-5345	104	18	the	the	DET
ejpam-5345	104	19	lucas	lucas	NOUN
ejpam-5345	104	20	polynomials	polynomial	NOUN
ejpam-5345	104	21	.	.	PUNCT
ejpam-5345	105	1	(	(	PUNCT
ejpam-5345	105	2	vi	vi	NOUN
ejpam-5345	105	3	):	):	PUNCT
ejpam-5345	105	4	υj(y	υj(y	VERB
ejpam-5345	105	5	,	,	PUNCT
ejpam-5345	105	6	1	1	NUM
ejpam-5345	105	7	,	,	PUNCT
ejpam-5345	105	8	2	2	NUM
ejpam-5345	105	9	;	;	PUNCT
ejpam-5345	105	10	2	2	NUM
ejpam-5345	105	11	,	,	PUNCT
ejpam-5345	105	12	1	1	NUM
ejpam-5345	105	13	)	)	PUNCT
ejpam-5345	105	14	=	=	SYM
ejpam-5345	106	1	pj(y	pj(y	PROPN
ejpam-5345	106	2	)	)	PUNCT
ejpam-5345	106	3	,	,	PUNCT
ejpam-5345	106	4	the	the	DET
ejpam-5345	106	5	pell	pell	NOUN
ejpam-5345	106	6	polynomials	polynomial	NOUN
ejpam-5345	106	7	.	.	PUNCT
ejpam-5345	107	1	applications	application	NOUN
ejpam-5345	107	2	:	:	PUNCT
ejpam-5345	107	3	the	the	DET
ejpam-5345	107	4	horadam	horadam	PROPN
ejpam-5345	107	5	polynomial	polynomial	NOUN
ejpam-5345	107	6	is	be	AUX
ejpam-5345	107	7	a	a	DET
ejpam-5345	107	8	mathematical	mathematical	ADJ
ejpam-5345	107	9	series	series	NOUN
ejpam-5345	107	10	used	use	VERB
ejpam-5345	107	11	in	in	ADP
ejpam-5345	107	12	texture	texture	ADJ
ejpam-5345	107	13	analysis	analysis	NOUN
ejpam-5345	107	14	and	and	CCONJ
ejpam-5345	107	15	picture	picture	NOUN
ejpam-5345	107	16	processing	processing	NOUN
ejpam-5345	107	17	.	.	PUNCT
ejpam-5345	108	1	the	the	DET
ejpam-5345	108	2	horadam	horadam	PROPN
ejpam-5345	108	3	polynomial	polynomial	NOUN
ejpam-5345	108	4	,	,	PUNCT
ejpam-5345	108	5	a	a	DET
ejpam-5345	108	6	distinct	distinct	ADJ
ejpam-5345	108	7	kind	kind	NOUN
ejpam-5345	108	8	of	of	ADP
ejpam-5345	108	9	polynomial	polynomial	ADJ
ejpam-5345	108	10	sequence	sequence	NOUN
ejpam-5345	108	11	,	,	PUNCT
ejpam-5345	108	12	is	be	AUX
ejpam-5345	108	13	used	use	VERB
ejpam-5345	108	14	for	for	ADP
ejpam-5345	108	15	tasks	task	NOUN
ejpam-5345	108	16	such	such	ADJ
ejpam-5345	108	17	as	as	ADP
ejpam-5345	108	18	filtering	filter	VERB
ejpam-5345	108	19	and	and	CCONJ
ejpam-5345	108	20	resampling	resample	VERB
ejpam-5345	108	21	.	.	PUNCT
ejpam-5345	109	1	scale	scale	NOUN
ejpam-5345	109	2	-	-	PUNCT
ejpam-5345	109	3	space	space	NOUN
ejpam-5345	109	4	representations	representation	NOUN
ejpam-5345	109	5	of	of	ADP
ejpam-5345	109	6	pictures	picture	NOUN
ejpam-5345	109	7	can	can	AUX
ejpam-5345	109	8	be	be	AUX
ejpam-5345	109	9	generated	generate	VERB
ejpam-5345	109	10	and	and	CCONJ
ejpam-5345	109	11	adjusted	adjust	VERB
ejpam-5345	109	12	in	in	ADP
ejpam-5345	109	13	image	image	NOUN
ejpam-5345	109	14	processing	processing	NOUN
ejpam-5345	109	15	and	and	CCONJ
ejpam-5345	109	16	computer	computer	NOUN
ejpam-5345	109	17	vision	vision	NOUN
ejpam-5345	109	18	by	by	ADP
ejpam-5345	109	19	using	use	VERB
ejpam-5345	109	20	the	the	DET
ejpam-5345	109	21	horadam	horadam	PROPN
ejpam-5345	109	22	polynomial	polynomial	NOUN
ejpam-5345	109	23	.	.	PUNCT
ejpam-5345	110	1	this	this	DET
ejpam-5345	110	2	polynomial	polynomial	NOUN
ejpam-5345	110	3	is	be	AUX
ejpam-5345	110	4	applicable	applicable	ADJ
ejpam-5345	110	5	for	for	ADP
ejpam-5345	110	6	edge	edge	NOUN
ejpam-5345	110	7	detection	detection	NOUN
ejpam-5345	110	8	,	,	PUNCT
ejpam-5345	110	9	texture	texture	NOUN
ejpam-5345	110	10	examination	examination	NOUN
ejpam-5345	110	11	,	,	PUNCT
ejpam-5345	110	12	and	and	CCONJ
ejpam-5345	110	13	multi	multi	ADJ
ejpam-5345	110	14	-	-	ADJ
ejpam-5345	110	15	scale	scale	ADJ
ejpam-5345	110	16	picture	picture	NOUN
ejpam-5345	110	17	analysis	analysis	NOUN
ejpam-5345	110	18	.	.	PUNCT
ejpam-5345	111	1	the	the	DET
ejpam-5345	111	2	horadam	horadam	PROPN
ejpam-5345	111	3	polynomial	polynomial	NOUN
ejpam-5345	111	4	has	have	AUX
ejpam-5345	111	5	been	be	AUX
ejpam-5345	111	6	used	use	VERB
ejpam-5345	111	7	for	for	ADP
ejpam-5345	111	8	texture	texture	ADJ
ejpam-5345	111	9	analysis	analysis	NOUN
ejpam-5345	111	10	to	to	PART
ejpam-5345	111	11	extract	extract	VERB
ejpam-5345	111	12	features	feature	NOUN
ejpam-5345	111	13	,	,	PUNCT
ejpam-5345	111	14	segment	segment	NOUN
ejpam-5345	111	15	images	image	NOUN
ejpam-5345	111	16	,	,	PUNCT
ejpam-5345	111	17	and	and	CCONJ
ejpam-5345	111	18	denoise	denoise	PROPN
ejpam-5345	111	19	pictures	picture	NOUN
ejpam-5345	111	20	.	.	PUNCT
ejpam-5345	112	1	this	this	DET
ejpam-5345	112	2	method	method	NOUN
ejpam-5345	112	3	may	may	AUX
ejpam-5345	112	4	be	be	AUX
ejpam-5345	112	5	used	use	VERB
ejpam-5345	112	6	to	to	PART
ejpam-5345	112	7	examine	examine	VERB
ejpam-5345	112	8	the	the	DET
ejpam-5345	112	9	statistical	statistical	ADJ
ejpam-5345	112	10	characteristics	characteristic	NOUN
ejpam-5345	112	11	of	of	ADP
ejpam-5345	112	12	textures	texture	NOUN
ejpam-5345	112	13	,	,	PUNCT
ejpam-5345	112	14	such	such	ADJ
ejpam-5345	112	15	as	as	ADP
ejpam-5345	112	16	the	the	DET
ejpam-5345	112	17	distribution	distribution	NOUN
ejpam-5345	112	18	of	of	ADP
ejpam-5345	112	19	gray	gray	ADJ
ejpam-5345	112	20	levels	level	NOUN
ejpam-5345	112	21	and	and	CCONJ
ejpam-5345	112	22	the	the	DET
ejpam-5345	112	23	geographical	geographical	ADJ
ejpam-5345	112	24	arrangement	arrangement	NOUN
ejpam-5345	112	25	of	of	ADP
ejpam-5345	112	26	textures	texture	NOUN
ejpam-5345	112	27	.	.	PUNCT
ejpam-5345	113	1	abirami	abirami	PROPN
ejpam-5345	113	2	et	et	PROPN
ejpam-5345	113	3	al	al	PROPN
ejpam-5345	113	4	.	.	PUNCT
ejpam-5345	114	1	[	[	X
ejpam-5345	114	2	1	1	X
ejpam-5345	114	3	]	]	PUNCT
ejpam-5345	114	4	examined	examine	VERB
ejpam-5345	114	5	the	the	DET
ejpam-5345	114	6	initial	initial	ADJ
ejpam-5345	114	7	coefficient	coefficient	NOUN
ejpam-5345	114	8	estimates	estimate	NOUN
ejpam-5345	114	9	of	of	ADP
ejpam-5345	114	10	taylor	taylor	PROPN
ejpam-5345	114	11	-	-	PUNCT
ejpam-5345	114	12	maclaurin	maclaurin	PROPN
ejpam-5345	114	13	series	series	NOUN
ejpam-5345	114	14	for	for	ADP
ejpam-5345	114	15	bi	bi	ADJ
ejpam-5345	114	16	-	-	ADJ
ejpam-5345	114	17	mocanu	mocanu	ADJ
ejpam-5345	114	18	-	-	PUNCT
ejpam-5345	114	19	convex	convex	NOUN
ejpam-5345	114	20	and	and	CCONJ
ejpam-5345	114	21	bi-µ-starlike	bi-µ-starlike	NOUN
ejpam-5345	114	22	functions	function	NOUN
ejpam-5345	114	23	related	relate	VERB
ejpam-5345	114	24	to	to	ADP
ejpam-5345	114	25	horadam	horadam	NOUN
ejpam-5345	114	26	polynomials	polynomial	NOUN
ejpam-5345	114	27	.	.	PUNCT
ejpam-5345	115	1	additionally	additionally	ADV
ejpam-5345	115	2	,	,	PUNCT
ejpam-5345	115	3	abirami	abirami	NOUN
ejpam-5345	115	4	et	et	PROPN
ejpam-5345	115	5	al	al	PROPN
ejpam-5345	115	6	.	.	PUNCT
ejpam-5345	116	1	[	[	X
ejpam-5345	116	2	2	2	X
ejpam-5345	116	3	]	]	PUNCT
ejpam-5345	116	4	discussed	discuss	VERB
ejpam-5345	116	5	coefficient	coefficient	NOUN
ejpam-5345	116	6	estimates	estimate	NOUN
ejpam-5345	116	7	for	for	ADP
ejpam-5345	116	8	λ	λ	NOUN
ejpam-5345	116	9	-	-	ADJ
ejpam-5345	116	10	bi	bi	ADJ
ejpam-5345	116	11	-	-	ADJ
ejpam-5345	116	12	pseudo	pseudo	ADJ
ejpam-5345	116	13	-	-	NOUN
ejpam-5345	116	14	starlike	starlike	ADJ
ejpam-5345	116	15	and	and	CCONJ
ejpam-5345	116	16	bi	bi	ADJ
ejpam-5345	116	17	-	-	ADJ
ejpam-5345	116	18	bazilevic	bazilevic	ADJ
ejpam-5345	116	19	functions	function	NOUN
ejpam-5345	116	20	.	.	PUNCT
ejpam-5345	117	1	alamoush	alamoush	PROPN
ejpam-5345	118	1	[	[	X
ejpam-5345	118	2	4	4	NUM
ejpam-5345	118	3	,	,	PUNCT
ejpam-5345	118	4	5	5	NUM
ejpam-5345	118	5	]	]	PUNCT
ejpam-5345	118	6	introduced	introduce	VERB
ejpam-5345	118	7	subclasses	subclass	NOUN
ejpam-5345	118	8	of	of	ADP
ejpam-5345	118	9	bi	bi	ADJ
ejpam-5345	118	10	-	-	ADJ
ejpam-5345	118	11	starlike	starlike	ADJ
ejpam-5345	118	12	and	and	CCONJ
ejpam-5345	118	13	bi	bi	ADJ
ejpam-5345	118	14	-	-	ADJ
ejpam-5345	118	15	convex	convex	ADJ
ejpam-5345	118	16	functions	function	NOUN
ejpam-5345	118	17	,	,	PUNCT
ejpam-5345	118	18	utilizing	utilize	VERB
ejpam-5345	118	19	the	the	DET
ejpam-5345	118	20	poisson	poisson	NOUN
ejpam-5345	118	21	distribution	distribution	NOUN
ejpam-5345	118	22	series	series	NOUN
ejpam-5345	118	23	and	and	CCONJ
ejpam-5345	118	24	horadam	horadam	NOUN
ejpam-5345	118	25	polynomials	polynomial	NOUN
ejpam-5345	118	26	,	,	PUNCT
ejpam-5345	118	27	and	and	CCONJ
ejpam-5345	118	28	also	also	ADV
ejpam-5345	118	29	explored	explore	VERB
ejpam-5345	118	30	a	a	DET
ejpam-5345	118	31	class	class	NOUN
ejpam-5345	118	32	of	of	ADP
ejpam-5345	118	33	bi	bi	ADJ
ejpam-5345	118	34	-	-	ADJ
ejpam-5345	118	35	univalent	univalent	ADJ
ejpam-5345	118	36	functions	function	NOUN
ejpam-5345	118	37	associated	associate	VERB
ejpam-5345	118	38	with	with	ADP
ejpam-5345	118	39	horadam	horadam	NOUN
ejpam-5345	118	40	polynomials	polynomial	NOUN
ejpam-5345	118	41	.	.	PUNCT
ejpam-5345	119	1	these	these	DET
ejpam-5345	119	2	studies	study	NOUN
ejpam-5345	119	3	yielded	yield	VERB
ejpam-5345	119	4	initial	initial	ADJ
ejpam-5345	119	5	coefficient	coefficient	NOUN
ejpam-5345	119	6	estimates	estimate	NOUN
ejpam-5345	119	7	for	for	ADP
ejpam-5345	119	8	the	the	DET
ejpam-5345	119	9	respective	respective	ADJ
ejpam-5345	119	10	subclasses	subclass	NOUN
ejpam-5345	119	11	.	.	PUNCT
ejpam-5345	120	1	recent	recent	ADJ
ejpam-5345	120	2	studies	study	NOUN
ejpam-5345	120	3	[	[	X
ejpam-5345	120	4	7	7	NUM
ejpam-5345	120	5	,	,	PUNCT
ejpam-5345	120	6	8	8	NUM
ejpam-5345	120	7	,	,	PUNCT
ejpam-5345	120	8	29	29	NUM
ejpam-5345	120	9	,	,	PUNCT
ejpam-5345	120	10	37–39	37–39	NUM
ejpam-5345	120	11	]	]	PUNCT
ejpam-5345	120	12	have	have	AUX
ejpam-5345	120	13	explored	explore	VERB
ejpam-5345	120	14	various	various	ADJ
ejpam-5345	120	15	classes	class	NOUN
ejpam-5345	120	16	of	of	ADP
ejpam-5345	120	17	bi	bi	ADJ
ejpam-5345	120	18	-	-	ADJ
ejpam-5345	120	19	univalent	univalent	ADJ
ejpam-5345	120	20	functions	function	NOUN
ejpam-5345	120	21	associated	associate	VERB
ejpam-5345	120	22	with	with	ADP
ejpam-5345	120	23	horadam	horadam	PROPN
ejpam-5345	120	24	polynomials	polynomial	NOUN
ejpam-5345	120	25	,	,	PUNCT
ejpam-5345	120	26	chebyshev	chebyshev	NOUN
ejpam-5345	120	27	polynomials	polynomial	NOUN
ejpam-5345	120	28	,	,	PUNCT
ejpam-5345	120	29	and	and	CCONJ
ejpam-5345	120	30	other	other	ADJ
ejpam-5345	120	31	special	special	ADJ
ejpam-5345	120	32	functions	function	NOUN
ejpam-5345	120	33	.	.	PUNCT
ejpam-5345	121	1	these	these	PRON
ejpam-5345	121	2	works	work	VERB
ejpam-5345	121	3	n.	n.	PROPN
ejpam-5345	121	4	k.	k.	PROPN
ejpam-5345	121	5	mishra	mishra	PROPN
ejpam-5345	121	6	,	,	PUNCT
ejpam-5345	121	7	m.	m.	PROPN
ejpam-5345	121	8	f.	f.	PROPN
ejpam-5345	121	9	khan	khan	PROPN
ejpam-5345	121	10	,	,	PUNCT
ejpam-5345	121	11	s.	s.	PROPN
ejpam-5345	121	12	a.	a.	PROPN
ejpam-5345	121	13	lone	lone	PROPN
ejpam-5345	121	14	/	/	SYM
ejpam-5345	121	15	eur	eur	PROPN
ejpam-5345	121	16	.	.	PUNCT
ejpam-5345	122	1	j.	j.	PROPN
ejpam-5345	122	2	pure	pure	PROPN
ejpam-5345	122	3	appl	appl	PROPN
ejpam-5345	122	4	.	.	PROPN
ejpam-5345	122	5	math	math	PROPN
ejpam-5345	122	6	,	,	PUNCT
ejpam-5345	122	7	17	17	NUM
ejpam-5345	122	8	(	(	PUNCT
ejpam-5345	122	9	4	4	NUM
ejpam-5345	122	10	)	)	PUNCT
ejpam-5345	122	11	(	(	PUNCT
ejpam-5345	122	12	2024	2024	NUM
ejpam-5345	122	13	)	)	PUNCT
ejpam-5345	122	14	,	,	PUNCT
ejpam-5345	122	15	2516	2516	NUM
ejpam-5345	122	16	-	-	SYM
ejpam-5345	122	17	2537	2537	NUM
ejpam-5345	122	18	2521	2521	NUM
ejpam-5345	122	19	have	have	AUX
ejpam-5345	122	20	established	establish	VERB
ejpam-5345	122	21	initial	initial	ADJ
ejpam-5345	122	22	coefficient	coefficient	NOUN
ejpam-5345	122	23	estimates	estimate	NOUN
ejpam-5345	122	24	,	,	PUNCT
ejpam-5345	122	25	fekete	fekete	PROPN
ejpam-5345	122	26	-	-	PUNCT
ejpam-5345	122	27	szegö	szegö	VERB
ejpam-5345	122	28	bounds	bound	NOUN
ejpam-5345	122	29	,	,	PUNCT
ejpam-5345	122	30	and	and	CCONJ
ejpam-5345	122	31	coefficient	coefficient	NOUN
ejpam-5345	122	32	estimates	estimate	NOUN
ejpam-5345	122	33	for	for	ADP
ejpam-5345	122	34	different	different	ADJ
ejpam-5345	122	35	classes	class	NOUN
ejpam-5345	122	36	of	of	ADP
ejpam-5345	122	37	bi	bi	ADJ
ejpam-5345	122	38	-	-	ADJ
ejpam-5345	122	39	univalent	univalent	ADJ
ejpam-5345	122	40	functions	function	NOUN
ejpam-5345	122	41	.	.	PUNCT
ejpam-5345	123	1	we	we	PRON
ejpam-5345	123	2	also	also	ADV
ejpam-5345	123	3	taken	take	VERB
ejpam-5345	123	4	notice	notice	NOUN
ejpam-5345	123	5	of	of	ADP
ejpam-5345	123	6	the	the	DET
ejpam-5345	123	7	fact	fact	NOUN
ejpam-5345	123	8	that	that	SCONJ
ejpam-5345	123	9	unique	unique	ADJ
ejpam-5345	123	10	polynomials	polynomial	NOUN
ejpam-5345	123	11	like	like	ADP
ejpam-5345	123	12	the	the	DET
ejpam-5345	123	13	ones	one	NOUN
ejpam-5345	123	14	mentioned	mention	VERB
ejpam-5345	123	15	above	above	ADV
ejpam-5345	123	16	might	might	AUX
ejpam-5345	123	17	play	play	VERB
ejpam-5345	123	18	a	a	DET
ejpam-5345	123	19	significant	significant	ADJ
ejpam-5345	123	20	role	role	NOUN
ejpam-5345	123	21	in	in	ADP
ejpam-5345	123	22	the	the	DET
ejpam-5345	123	23	fields	field	NOUN
ejpam-5345	123	24	of	of	ADP
ejpam-5345	123	25	engineering	engineering	NOUN
ejpam-5345	123	26	,	,	PUNCT
ejpam-5345	123	27	mathematics	mathematic	NOUN
ejpam-5345	123	28	,	,	PUNCT
ejpam-5345	123	29	statistics	statistic	NOUN
ejpam-5345	123	30	,	,	PUNCT
ejpam-5345	123	31	and	and	CCONJ
ejpam-5345	123	32	physical	physical	ADJ
ejpam-5345	123	33	science	science	NOUN
ejpam-5345	123	34	.	.	PUNCT
ejpam-5345	124	1	references	reference	NOUN
ejpam-5345	124	2	[	[	X
ejpam-5345	124	3	15	15	NUM
ejpam-5345	124	4	,	,	PUNCT
ejpam-5345	124	5	21	21	NUM
ejpam-5345	124	6	,	,	PUNCT
ejpam-5345	124	7	26	26	NUM
ejpam-5345	124	8	]	]	PUNCT
ejpam-5345	124	9	provide	provide	VERB
ejpam-5345	124	10	more	more	ADJ
ejpam-5345	124	11	information	information	NOUN
ejpam-5345	124	12	on	on	ADP
ejpam-5345	124	13	these	these	DET
ejpam-5345	124	14	polynomials	polynomial	NOUN
ejpam-5345	124	15	.	.	PUNCT
ejpam-5345	125	1	in	in	ADP
ejpam-5345	125	2	the	the	DET
ejpam-5345	125	3	works	work	NOUN
ejpam-5345	125	4	of	of	ADP
ejpam-5345	125	5	[	[	X
ejpam-5345	125	6	44	44	NUM
ejpam-5345	125	7	]	]	PUNCT
ejpam-5345	125	8	and	and	CCONJ
ejpam-5345	125	9	[	[	X
ejpam-5345	125	10	43	43	NUM
ejpam-5345	125	11	]	]	PUNCT
ejpam-5345	125	12	,	,	PUNCT
ejpam-5345	125	13	you	you	PRON
ejpam-5345	125	14	can	can	AUX
ejpam-5345	125	15	find	find	VERB
ejpam-5345	125	16	further	further	ADJ
ejpam-5345	125	17	information	information	NOUN
ejpam-5345	125	18	on	on	ADP
ejpam-5345	125	19	the	the	DET
ejpam-5345	125	20	fekete	fekete	PROPN
ejpam-5345	125	21	-	-	PUNCT
ejpam-5345	125	22	szegö	szegö	ADJ
ejpam-5345	125	23	problem	problem	NOUN
ejpam-5345	125	24	as	as	SCONJ
ejpam-5345	125	25	it	it	PRON
ejpam-5345	125	26	relates	relate	VERB
ejpam-5345	125	27	to	to	ADP
ejpam-5345	125	28	haradam	haradam	ADJ
ejpam-5345	125	29	polynomials	polynomial	NOUN
ejpam-5345	125	30	.	.	PUNCT
ejpam-5345	126	1	see	see	VERB
ejpam-5345	126	2	references	reference	NOUN
ejpam-5345	126	3	[	[	X
ejpam-5345	126	4	17	17	NUM
ejpam-5345	126	5	,	,	PUNCT
ejpam-5345	126	6	18	18	NUM
ejpam-5345	126	7	,	,	PUNCT
ejpam-5345	126	8	20	20	NUM
ejpam-5345	126	9	,	,	PUNCT
ejpam-5345	126	10	27	27	NUM
ejpam-5345	126	11	,	,	PUNCT
ejpam-5345	126	12	28	28	NUM
ejpam-5345	126	13	,	,	PUNCT
ejpam-5345	126	14	34	34	NUM
ejpam-5345	126	15	]	]	PUNCT
ejpam-5345	126	16	for	for	ADP
ejpam-5345	126	17	a	a	DET
ejpam-5345	126	18	discussion	discussion	NOUN
ejpam-5345	126	19	of	of	ADP
ejpam-5345	126	20	the	the	DET
ejpam-5345	126	21	many	many	ADJ
ejpam-5345	126	22	uses	use	NOUN
ejpam-5345	126	23	and	and	CCONJ
ejpam-5345	126	24	applications	application	NOUN
ejpam-5345	126	25	of	of	ADP
ejpam-5345	126	26	orthogonal	orthogonal	ADJ
ejpam-5345	126	27	polynomial	polynomial	ADJ
ejpam-5345	126	28	families	family	NOUN
ejpam-5345	126	29	as	as	ADV
ejpam-5345	126	30	well	well	ADV
ejpam-5345	126	31	as	as	ADP
ejpam-5345	126	32	other	other	ADJ
ejpam-5345	126	33	special	special	ADJ
ejpam-5345	126	34	functions	function	NOUN
ejpam-5345	126	35	and	and	CCONJ
ejpam-5345	126	36	specialized	specialized	ADJ
ejpam-5345	126	37	polynomials	polynomial	NOUN
ejpam-5345	126	38	.	.	PUNCT
ejpam-5345	127	1	illustrating	illustrate	VERB
ejpam-5345	127	2	from	from	ADP
ejpam-5345	127	3	present	present	ADJ
ejpam-5345	127	4	trends	trend	NOUN
ejpam-5345	127	5	in	in	ADP
ejpam-5345	127	6	bi	bi	ADJ
ejpam-5345	127	7	-	-	ADJ
ejpam-5345	127	8	univalent	univalent	ADJ
ejpam-5345	127	9	functions	function	NOUN
ejpam-5345	127	10	associated	associate	VERB
ejpam-5345	127	11	with	with	ADP
ejpam-5345	127	12	various	various	ADJ
ejpam-5345	127	13	polynomials	polynomial	NOUN
ejpam-5345	127	14	,	,	PUNCT
ejpam-5345	127	15	we	we	PRON
ejpam-5345	127	16	establish	establish	VERB
ejpam-5345	127	17	the	the	DET
ejpam-5345	127	18	following	follow	VERB
ejpam-5345	127	19	unique	unique	ADJ
ejpam-5345	127	20	families	family	NOUN
ejpam-5345	127	21	of	of	ADP
ejpam-5345	127	22	the	the	DET
ejpam-5345	127	23	class	class	NOUN
ejpam-5345	127	24	σ	σ	NOUN
ejpam-5345	127	25	using	use	VERB
ejpam-5345	127	26	the	the	DET
ejpam-5345	127	27	horadam	horadam	PROPN
ejpam-5345	127	28	polynomials	polynomial	NOUN
ejpam-5345	127	29	υj(y	υj(y	PUNCT
ejpam-5345	127	30	)	)	PUNCT
ejpam-5345	127	31	linked	link	VERB
ejpam-5345	127	32	to	to	ADP
ejpam-5345	127	33	the	the	DET
ejpam-5345	127	34	modified	modify	VERB
ejpam-5345	127	35	sigmoid	sigmoid	NOUN
ejpam-5345	127	36	function	function	NOUN
ejpam-5345	127	37	(	(	PUNCT
ejpam-5345	127	38	3	3	NUM
ejpam-5345	127	39	)	)	PUNCT
ejpam-5345	127	40	and	and	CCONJ
ejpam-5345	127	41	its	its	PRON
ejpam-5345	127	42	sălăgean	sălăgean	ADJ
ejpam-5345	127	43	q	q	ADJ
ejpam-5345	127	44	-	-	PUNCT
ejpam-5345	127	45	differential	differential	ADJ
ejpam-5345	127	46	operator	operator	NOUN
ejpam-5345	127	47	.	.	PUNCT
ejpam-5345	128	1	here	here	ADV
ejpam-5345	128	2	we	we	PRON
ejpam-5345	128	3	give	give	VERB
ejpam-5345	128	4	the	the	DET
ejpam-5345	128	5	value	value	NOUN
ejpam-5345	128	6	of	of	ADP
ejpam-5345	128	7	all	all	DET
ejpam-5345	128	8	parameters	parameter	NOUN
ejpam-5345	128	9	,	,	PUNCT
ejpam-5345	128	10	which	which	PRON
ejpam-5345	128	11	will	will	AUX
ejpam-5345	128	12	be	be	AUX
ejpam-5345	128	13	used	use	VERB
ejpam-5345	128	14	in	in	ADP
ejpam-5345	128	15	this	this	DET
ejpam-5345	128	16	article	article	NOUN
ejpam-5345	128	17	µ	µ	ADP
ejpam-5345	128	18	≥	≥	NOUN
ejpam-5345	128	19	0	0	NUM
ejpam-5345	128	20	,	,	PUNCT
ejpam-5345	128	21	q	q	PROPN
ejpam-5345	128	22	∈	∈	PROPN
ejpam-5345	128	23	(	(	PUNCT
ejpam-5345	128	24	0	0	NUM
ejpam-5345	128	25	,	,	PUNCT
ejpam-5345	128	26	1	1	NUM
ejpam-5345	128	27	)	)	PUNCT
ejpam-5345	128	28	,	,	PUNCT
ejpam-5345	128	29	µ	µ	X
ejpam-5345	128	30	≥	≥	NOUN
ejpam-5345	128	31	γ	γ	X
ejpam-5345	128	32	,	,	PUNCT
ejpam-5345	128	33	0	0	NUM
ejpam-5345	128	34	≤	≤	NUM
ejpam-5345	128	35	γ	γ	X
ejpam-5345	128	36	≤	≤	NOUN
ejpam-5345	128	37	1	1	NUM
ejpam-5345	128	38	,	,	PUNCT
ejpam-5345	128	39	k	k	PROPN
ejpam-5345	128	40	∈	∈	PROPN
ejpam-5345	128	41	n	n	PART
ejpam-5345	128	42	∪	∪	X
ejpam-5345	128	43	{	{	PUNCT
ejpam-5345	128	44	0	0	NUM
ejpam-5345	128	45	}	}	PUNCT
ejpam-5345	128	46	,	,	PUNCT
ejpam-5345	128	47	ξ	ξ	X
ejpam-5345	128	48	≥	≥	NOUN
ejpam-5345	128	49	1	1	NUM
ejpam-5345	128	50	,	,	PUNCT
ejpam-5345	128	51	τ	τ	PROPN
ejpam-5345	128	52	≥	≥	NOUN
ejpam-5345	128	53	1	1	NUM
ejpam-5345	128	54	and	and	CCONJ
ejpam-5345	128	55	ψ(s	ψ(s	NUM
ejpam-5345	128	56	)	)	PUNCT
ejpam-5345	128	57	=	=	SYM
ejpam-5345	128	58	2	2	NUM
ejpam-5345	128	59	1	1	NUM
ejpam-5345	128	60	+	+	NUM
ejpam-5345	128	61	e−s	e−s	PROPN
ejpam-5345	128	62	,	,	PUNCT
ejpam-5345	128	63	s	s	VERB
ejpam-5345	128	64	≥	≥	NOUN
ejpam-5345	128	65	0	0	NUM
ejpam-5345	128	66	,	,	PUNCT
ejpam-5345	128	67	also	also	ADV
ejpam-5345	128	68	fψ(ω	fψ(ω	PRON
ejpam-5345	128	69	)	)	PUNCT
ejpam-5345	129	1	=	=	PUNCT
ejpam-5345	129	2	g−1	g−1	PROPN
ejpam-5345	129	3	ψ	ψ	X
ejpam-5345	129	4	(	(	PUNCT
ejpam-5345	129	5	ω	ω	NOUN
ejpam-5345	129	6	)	)	PUNCT
ejpam-5345	129	7	which	which	PRON
ejpam-5345	129	8	is	be	AUX
ejpam-5345	129	9	an	an	DET
ejpam-5345	129	10	extension	extension	NOUN
ejpam-5345	129	11	of	of	ADP
ejpam-5345	129	12	g−1	g−1	PROPN
ejpam-5345	129	13	to	to	ADP
ejpam-5345	129	14	d	d	NOUN
ejpam-5345	129	15	given	give	VERB
ejpam-5345	129	16	by	by	ADP
ejpam-5345	129	17	(	(	PUNCT
ejpam-5345	129	18	2	2	NUM
ejpam-5345	129	19	)	)	PUNCT
ejpam-5345	129	20	,	,	PUNCT
ejpam-5345	129	21	a	a	DET
ejpam-5345	129	22	,	,	PUNCT
ejpam-5345	129	23	b	b	NOUN
ejpam-5345	129	24	,	,	PUNCT
ejpam-5345	129	25	p	p	NOUN
ejpam-5345	129	26	and	and	CCONJ
ejpam-5345	129	27	t	t	PROPN
ejpam-5345	129	28	are	be	AUX
ejpam-5345	129	29	as	as	ADP
ejpam-5345	129	30	in	in	ADP
ejpam-5345	129	31	(	(	PUNCT
ejpam-5345	129	32	5	5	NUM
ejpam-5345	129	33	)	)	PUNCT
ejpam-5345	129	34	and	and	CCONJ
ejpam-5345	129	35	𭟋	𭟋	PROPN
ejpam-5345	129	36	is	be	AUX
ejpam-5345	129	37	as	as	ADP
ejpam-5345	129	38	in	in	ADP
ejpam-5345	129	39	(	(	PUNCT
ejpam-5345	129	40	6	6	NUM
ejpam-5345	129	41	)	)	PUNCT
ejpam-5345	129	42	.	.	PUNCT
ejpam-5345	130	1	definition	definition	NOUN
ejpam-5345	130	2	6	6	NUM
ejpam-5345	130	3	.	.	PUNCT
ejpam-5345	131	1	a	a	DET
ejpam-5345	131	2	function	function	NOUN
ejpam-5345	131	3	g(z	g(z	PROPN
ejpam-5345	131	4	)	)	PUNCT
ejpam-5345	131	5	in	in	ADP
ejpam-5345	131	6	σ	σ	PROPN
ejpam-5345	131	7	is	be	AUX
ejpam-5345	131	8	expressed	express	VERB
ejpam-5345	131	9	as	as	ADP
ejpam-5345	131	10	(	(	PUNCT
ejpam-5345	131	11	1	1	NUM
ejpam-5345	131	12	)	)	PUNCT
ejpam-5345	131	13	,	,	PUNCT
ejpam-5345	131	14	then	then	ADV
ejpam-5345	131	15	it	it	PRON
ejpam-5345	131	16	is	be	AUX
ejpam-5345	131	17	belong	belong	ADJ
ejpam-5345	131	18	to	to	ADP
ejpam-5345	131	19	the	the	DET
ejpam-5345	131	20	family	family	NOUN
ejpam-5345	131	21	sµ,k	sµ,k	PUNCT
ejpam-5345	131	22	σ	σ	PROPN
ejpam-5345	131	23	,	,	PUNCT
ejpam-5345	131	24	y	y	PROPN
ejpam-5345	131	25	,	,	PUNCT
ejpam-5345	131	26	γ(q	γ(q	PROPN
ejpam-5345	131	27	,	,	PUNCT
ejpam-5345	131	28	ψ(s	ψ(s	PROPN
ejpam-5345	131	29	)	)	PUNCT
ejpam-5345	131	30	)	)	PUNCT
ejpam-5345	131	31	,	,	PUNCT
ejpam-5345	131	32	if	if	SCONJ
ejpam-5345	131	33	z∂q(d	z∂q(d	PROPN
ejpam-5345	131	34	k	k	X
ejpam-5345	131	35	q	q	X
ejpam-5345	131	36	gψ(z	gψ(z	NOUN
ejpam-5345	131	37	)	)	PUNCT
ejpam-5345	131	38	)	)	PUNCT
ejpam-5345	132	1	+	+	CCONJ
ejpam-5345	132	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	132	3	(	(	PUNCT
ejpam-5345	132	4	d	d	X
ejpam-5345	132	5	k	k	X
ejpam-5345	132	6	q	q	X
ejpam-5345	132	7	gψ(z	gψ(z	NOUN
ejpam-5345	132	8	)	)	PUNCT
ejpam-5345	132	9	)	)	PUNCT
ejpam-5345	132	10	(	(	PUNCT
ejpam-5345	132	11	1−	1−	NUM
ejpam-5345	132	12	γ)dk	γ)dk	PROPN
ejpam-5345	132	13	q	q	NOUN
ejpam-5345	132	14	gψ(z	gψ(z	NOUN
ejpam-5345	132	15	)	)	PUNCT
ejpam-5345	132	16	+	+	CCONJ
ejpam-5345	132	17	γz∂q(dk	γz∂q(dk	ADJ
ejpam-5345	132	18	q	q	PROPN
ejpam-5345	132	19	gψ(z	gψ(z	NOUN
ejpam-5345	132	20	)	)	PUNCT
ejpam-5345	132	21	)	)	PUNCT
ejpam-5345	132	22	≺	≺	NOUN
ejpam-5345	132	23	𭟋(y	𭟋(y	PROPN
ejpam-5345	132	24	,	,	PUNCT
ejpam-5345	132	25	z	z	NOUN
ejpam-5345	132	26	)	)	PUNCT
ejpam-5345	133	1	+	+	CCONJ
ejpam-5345	133	2	1−	1−	NUM
ejpam-5345	133	3	α	α	NOUN
ejpam-5345	133	4	,	,	PUNCT
ejpam-5345	133	5	z	z	PROPN
ejpam-5345	133	6	∈	∈	PROPN
ejpam-5345	133	7	d	d	NOUN
ejpam-5345	133	8	and	and	CCONJ
ejpam-5345	133	9	ω∂q(d	ω∂q(d	PROPN
ejpam-5345	133	10	k	k	PROPN
ejpam-5345	133	11	q	q	PROPN
ejpam-5345	133	12	fψ(ω	fψ(ω	PROPN
ejpam-5345	133	13	)	)	PUNCT
ejpam-5345	133	14	)	)	PUNCT
ejpam-5345	134	1	+	+	CCONJ
ejpam-5345	134	2	µω2∂2q	µω2∂2q	X
ejpam-5345	134	3	(	(	PUNCT
ejpam-5345	134	4	d	d	X
ejpam-5345	134	5	k	k	X
ejpam-5345	134	6	q	q	PROPN
ejpam-5345	134	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	134	8	)	)	PUNCT
ejpam-5345	134	9	)	)	PUNCT
ejpam-5345	134	10	(	(	PUNCT
ejpam-5345	134	11	1−	1−	NUM
ejpam-5345	134	12	γ)dkfψ(ω	γ)dkfψ(ω	NOUN
ejpam-5345	134	13	)	)	PUNCT
ejpam-5345	134	14	+	+	CCONJ
ejpam-5345	134	15	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	134	16	q	q	NOUN
ejpam-5345	134	17	fψ(ω	fψ(ω	NUM
ejpam-5345	134	18	)	)	PUNCT
ejpam-5345	134	19	)	)	PUNCT
ejpam-5345	134	20	≺	≺	PROPN
ejpam-5345	134	21	𭟋(y	𭟋(y	PROPN
ejpam-5345	134	22	,	,	PUNCT
ejpam-5345	134	23	ω	ω	NOUN
ejpam-5345	134	24	)	)	PUNCT
ejpam-5345	134	25	+	+	NUM
ejpam-5345	134	26	1−	1−	NUM
ejpam-5345	134	27	α	α	NOUN
ejpam-5345	134	28	,	,	PUNCT
ejpam-5345	134	29	ω	ω	PROPN
ejpam-5345	134	30	∈	∈	PROPN
ejpam-5345	134	31	d.	d.	NOUN
ejpam-5345	134	32	remark	remark	VERB
ejpam-5345	134	33	4	4	NUM
ejpam-5345	134	34	.	.	PUNCT
ejpam-5345	135	1	for	for	ADP
ejpam-5345	135	2	the	the	DET
ejpam-5345	135	3	special	special	ADJ
ejpam-5345	135	4	values	value	NOUN
ejpam-5345	135	5	of	of	ADP
ejpam-5345	135	6	γ	γ	PROPN
ejpam-5345	135	7	and	and	CCONJ
ejpam-5345	135	8	µ	µ	NOUN
ejpam-5345	135	9	,	,	PUNCT
ejpam-5345	135	10	the	the	DET
ejpam-5345	135	11	family	family	NOUN
ejpam-5345	135	12	sµ,k	sµ,k	VERB
ejpam-5345	135	13	σ	σ	PROPN
ejpam-5345	135	14	,	,	PUNCT
ejpam-5345	135	15	y	y	PROPN
ejpam-5345	135	16	,	,	PUNCT
ejpam-5345	135	17	γ(q	γ(q	PROPN
ejpam-5345	135	18	,	,	PUNCT
ejpam-5345	135	19	ψ(s	ψ(s	PROPN
ejpam-5345	135	20	)	)	PUNCT
ejpam-5345	135	21	)	)	PUNCT
ejpam-5345	135	22	reduces	reduce	VERB
ejpam-5345	135	23	to	to	ADP
ejpam-5345	135	24	the	the	DET
ejpam-5345	135	25	following	follow	VERB
ejpam-5345	135	26	new	new	ADJ
ejpam-5345	135	27	subfamilies	subfamily	NOUN
ejpam-5345	135	28	.	.	PUNCT
ejpam-5345	136	1	(	(	PUNCT
ejpam-5345	136	2	i	i	NOUN
ejpam-5345	136	3	):	):	PUNCT
ejpam-5345	136	4	for	for	ADP
ejpam-5345	136	5	γ	γ	PROPN
ejpam-5345	136	6	=	=	SYM
ejpam-5345	136	7	µ	µ	X
ejpam-5345	136	8	=	=	SYM
ejpam-5345	136	9	1	1	NUM
ejpam-5345	136	10	2	2	NUM
ejpam-5345	136	11	,	,	PUNCT
ejpam-5345	136	12	we	we	PRON
ejpam-5345	136	13	have	have	VERB
ejpam-5345	136	14	sµ,k	sµ,k	NOUN
ejpam-5345	136	15	σ	σ	PROPN
ejpam-5345	136	16	,	,	PUNCT
ejpam-5345	136	17	y	y	PROPN
ejpam-5345	136	18	,	,	PUNCT
ejpam-5345	136	19	γ(q	γ(q	PROPN
ejpam-5345	136	20	,	,	PUNCT
ejpam-5345	136	21	ψ(s	ψ(s	PROPN
ejpam-5345	136	22	)	)	PUNCT
ejpam-5345	136	23	)	)	PUNCT
ejpam-5345	137	1	=	=	PUNCT
ejpam-5345	137	2	jς(y	jς(y	PROPN
ejpam-5345	137	3	,	,	PUNCT
ejpam-5345	137	4	k	k	NOUN
ejpam-5345	137	5	,	,	PUNCT
ejpam-5345	137	6	q	q	INTJ
ejpam-5345	137	7	,	,	PUNCT
ejpam-5345	137	8	ψ(s	ψ(s	PROPN
ejpam-5345	137	9	)	)	PUNCT
ejpam-5345	137	10	)	)	PUNCT
ejpam-5345	137	11	,	,	PUNCT
ejpam-5345	137	12	a	a	DET
ejpam-5345	137	13	new	new	ADJ
ejpam-5345	137	14	family	family	NOUN
ejpam-5345	137	15	of	of	ADP
ejpam-5345	137	16	biunivalent	biunivalent	NOUN
ejpam-5345	137	17	functions	function	NOUN
ejpam-5345	137	18	connected	connect	VERB
ejpam-5345	137	19	with	with	ADP
ejpam-5345	137	20	sigmoid	sigmoid	NOUN
ejpam-5345	137	21	activation	activation	NOUN
ejpam-5345	137	22	functions	function	NOUN
ejpam-5345	137	23	and	and	CCONJ
ejpam-5345	137	24	horadam	horadam	NOUN
ejpam-5345	137	25	polynomials	polynomial	NOUN
ejpam-5345	137	26	.	.	PUNCT
ejpam-5345	138	1	(	(	PUNCT
ejpam-5345	138	2	ii	ii	NUM
ejpam-5345	138	3	):	):	PUNCT
ejpam-5345	138	4	for	for	ADP
ejpam-5345	138	5	γ	γ	X
ejpam-5345	138	6	=	=	SYM
ejpam-5345	138	7	0	0	NUM
ejpam-5345	138	8	,	,	PUNCT
ejpam-5345	138	9	and	and	CCONJ
ejpam-5345	138	10	µ	µ	X
ejpam-5345	138	11	=	=	SYM
ejpam-5345	138	12	1	1	NUM
ejpam-5345	138	13	2	2	NUM
ejpam-5345	138	14	,	,	PUNCT
ejpam-5345	138	15	we	we	PRON
ejpam-5345	138	16	obtain	obtain	VERB
ejpam-5345	138	17	a	a	DET
ejpam-5345	138	18	new	new	ADJ
ejpam-5345	138	19	family	family	NOUN
ejpam-5345	138	20	sµ,k	sµ,k	PUNCT
ejpam-5345	138	21	σ	σ	PROPN
ejpam-5345	138	22	,	,	PUNCT
ejpam-5345	138	23	y	y	PROPN
ejpam-5345	138	24	,	,	PUNCT
ejpam-5345	138	25	γ(q	γ(q	PROPN
ejpam-5345	138	26	,	,	PUNCT
ejpam-5345	138	27	ψ(s	ψ(s	PROPN
ejpam-5345	138	28	)	)	PUNCT
ejpam-5345	138	29	)	)	PUNCT
ejpam-5345	139	1	=	=	SYM
ejpam-5345	139	2	kς(y	kς(y	PROPN
ejpam-5345	139	3	,	,	PUNCT
ejpam-5345	139	4	k	k	NOUN
ejpam-5345	139	5	,	,	PUNCT
ejpam-5345	139	6	q	q	INTJ
ejpam-5345	139	7	,	,	PUNCT
ejpam-5345	139	8	ψ(s	ψ(s	PROPN
ejpam-5345	139	9	)	)	PUNCT
ejpam-5345	139	10	)	)	PUNCT
ejpam-5345	139	11	of	of	ADP
ejpam-5345	139	12	bi	bi	ADJ
ejpam-5345	139	13	-	-	ADJ
ejpam-5345	139	14	univalent	univalent	ADJ
ejpam-5345	139	15	functions	function	NOUN
ejpam-5345	139	16	connected	connect	VERB
ejpam-5345	139	17	with	with	ADP
ejpam-5345	139	18	sigmoid	sigmoid	NOUN
ejpam-5345	139	19	activation	activation	NOUN
ejpam-5345	139	20	functions	function	NOUN
ejpam-5345	139	21	and	and	CCONJ
ejpam-5345	139	22	horadam	horadam	NOUN
ejpam-5345	139	23	polynomials	polynomial	NOUN
ejpam-5345	139	24	.	.	PUNCT
ejpam-5345	140	1	(	(	PUNCT
ejpam-5345	140	2	iii	iii	NOUN
ejpam-5345	140	3	):	):	PUNCT
ejpam-5345	140	4	for	for	ADP
ejpam-5345	140	5	γ	γ	X
ejpam-5345	140	6	=	=	SYM
ejpam-5345	140	7	1	1	NUM
ejpam-5345	140	8	2	2	NUM
ejpam-5345	140	9	,	,	PUNCT
ejpam-5345	140	10	and	and	CCONJ
ejpam-5345	140	11	µ	µ	X
ejpam-5345	140	12	=	=	SYM
ejpam-5345	140	13	1	1	NUM
ejpam-5345	140	14	,	,	PUNCT
ejpam-5345	140	15	we	we	PRON
ejpam-5345	140	16	obtain	obtain	VERB
ejpam-5345	140	17	a	a	DET
ejpam-5345	140	18	new	new	ADJ
ejpam-5345	140	19	family	family	NOUN
ejpam-5345	140	20	sµ,k	sµ,k	PUNCT
ejpam-5345	140	21	σ	σ	PROPN
ejpam-5345	140	22	,	,	PUNCT
ejpam-5345	140	23	y	y	PROPN
ejpam-5345	140	24	,	,	PUNCT
ejpam-5345	140	25	γ(q	γ(q	PROPN
ejpam-5345	140	26	,	,	PUNCT
ejpam-5345	140	27	ψ(s	ψ(s	PROPN
ejpam-5345	140	28	)	)	PUNCT
ejpam-5345	140	29	)	)	PUNCT
ejpam-5345	141	1	=	=	PUNCT
ejpam-5345	141	2	lς(y	lς(y	PROPN
ejpam-5345	141	3	,	,	PUNCT
ejpam-5345	141	4	k	k	NOUN
ejpam-5345	141	5	,	,	PUNCT
ejpam-5345	141	6	q	q	INTJ
ejpam-5345	141	7	,	,	PUNCT
ejpam-5345	141	8	ψ(s	ψ(s	PROPN
ejpam-5345	141	9	)	)	PUNCT
ejpam-5345	141	10	)	)	PUNCT
ejpam-5345	141	11	of	of	ADP
ejpam-5345	141	12	n.	n.	PROPN
ejpam-5345	141	13	k.	k.	PROPN
ejpam-5345	141	14	mishra	mishra	PROPN
ejpam-5345	141	15	,	,	PUNCT
ejpam-5345	141	16	m.	m.	PROPN
ejpam-5345	141	17	f.	f.	PROPN
ejpam-5345	141	18	khan	khan	PROPN
ejpam-5345	141	19	,	,	PUNCT
ejpam-5345	141	20	s.	s.	PROPN
ejpam-5345	141	21	a.	a.	PROPN
ejpam-5345	141	22	lone	lone	PROPN
ejpam-5345	141	23	/	/	SYM
ejpam-5345	141	24	eur	eur	PROPN
ejpam-5345	141	25	.	.	PUNCT
ejpam-5345	142	1	j.	j.	PROPN
ejpam-5345	142	2	pure	pure	PROPN
ejpam-5345	142	3	appl	appl	PROPN
ejpam-5345	142	4	.	.	PROPN
ejpam-5345	142	5	math	math	PROPN
ejpam-5345	142	6	,	,	PUNCT
ejpam-5345	142	7	17	17	NUM
ejpam-5345	142	8	(	(	PUNCT
ejpam-5345	142	9	4	4	NUM
ejpam-5345	142	10	)	)	PUNCT
ejpam-5345	142	11	(	(	PUNCT
ejpam-5345	142	12	2024	2024	NUM
ejpam-5345	142	13	)	)	PUNCT
ejpam-5345	142	14	,	,	PUNCT
ejpam-5345	142	15	2516	2516	NUM
ejpam-5345	142	16	-	-	SYM
ejpam-5345	142	17	2537	2537	NUM
ejpam-5345	142	18	2522	2522	NUM
ejpam-5345	142	19	bi	bi	ADJ
ejpam-5345	142	20	-	-	ADJ
ejpam-5345	142	21	univalent	univalent	ADJ
ejpam-5345	142	22	functions	function	NOUN
ejpam-5345	142	23	connected	connect	VERB
ejpam-5345	142	24	with	with	ADP
ejpam-5345	142	25	sigmoid	sigmoid	NOUN
ejpam-5345	142	26	activation	activation	NOUN
ejpam-5345	142	27	functions	function	NOUN
ejpam-5345	142	28	and	and	CCONJ
ejpam-5345	142	29	horadam	horadam	NOUN
ejpam-5345	142	30	polynomials	polynomial	NOUN
ejpam-5345	142	31	.	.	PUNCT
ejpam-5345	143	1	(	(	PUNCT
ejpam-5345	143	2	iv	iv	NUM
ejpam-5345	143	3	):	):	PUNCT
ejpam-5345	143	4	for	for	ADP
ejpam-5345	143	5	γ	γ	X
ejpam-5345	143	6	=	=	SYM
ejpam-5345	143	7	0	0	NUM
ejpam-5345	143	8	,	,	PUNCT
ejpam-5345	143	9	we	we	PRON
ejpam-5345	143	10	obtain	obtain	VERB
ejpam-5345	143	11	a	a	DET
ejpam-5345	143	12	new	new	ADJ
ejpam-5345	143	13	family	family	NOUN
ejpam-5345	143	14	sµ,k	sµ,k	PUNCT
ejpam-5345	143	15	σ	σ	PROPN
ejpam-5345	143	16	,	,	PUNCT
ejpam-5345	143	17	y	y	PROPN
ejpam-5345	143	18	,	,	PUNCT
ejpam-5345	143	19	γ(q	γ(q	PROPN
ejpam-5345	143	20	,	,	PUNCT
ejpam-5345	143	21	ψ(s	ψ(s	PROPN
ejpam-5345	143	22	)	)	PUNCT
ejpam-5345	143	23	)	)	PUNCT
ejpam-5345	144	1	=	=	SYM
ejpam-5345	144	2	mς(y	mς(y	X
ejpam-5345	144	3	,	,	PUNCT
ejpam-5345	144	4	µ	µ	NOUN
ejpam-5345	144	5	,	,	PUNCT
ejpam-5345	144	6	k	k	NOUN
ejpam-5345	144	7	,	,	PUNCT
ejpam-5345	144	8	q	q	INTJ
ejpam-5345	144	9	,	,	PUNCT
ejpam-5345	144	10	ψ(s	ψ(s	PROPN
ejpam-5345	144	11	)	)	PUNCT
ejpam-5345	144	12	)	)	PUNCT
ejpam-5345	144	13	of	of	ADP
ejpam-5345	144	14	biunivalent	biunivalent	NOUN
ejpam-5345	144	15	functions	function	NOUN
ejpam-5345	144	16	connected	connect	VERB
ejpam-5345	144	17	with	with	ADP
ejpam-5345	144	18	sigmoid	sigmoid	NOUN
ejpam-5345	144	19	activation	activation	NOUN
ejpam-5345	144	20	functions	function	NOUN
ejpam-5345	144	21	and	and	CCONJ
ejpam-5345	144	22	horadam	horadam	NOUN
ejpam-5345	144	23	polynomials	polynomial	NOUN
ejpam-5345	144	24	.	.	PUNCT
ejpam-5345	145	1	the	the	DET
ejpam-5345	145	2	class	class	NOUN
ejpam-5345	145	3	lς(y	lς(y	PROPN
ejpam-5345	145	4	,	,	PUNCT
ejpam-5345	145	5	γ	γ	PROPN
ejpam-5345	145	6	,	,	PUNCT
ejpam-5345	145	7	µ	µ	NOUN
ejpam-5345	145	8	,	,	PUNCT
ejpam-5345	145	9	k	k	NOUN
ejpam-5345	145	10	,	,	PUNCT
ejpam-5345	145	11	q	q	INTJ
ejpam-5345	145	12	,	,	PUNCT
ejpam-5345	145	13	ψ(s	ψ(s	PROPN
ejpam-5345	145	14	)	)	PUNCT
ejpam-5345	145	15	)	)	PUNCT
ejpam-5345	145	16	definition	definition	NOUN
ejpam-5345	145	17	7	7	NUM
ejpam-5345	145	18	.	.	PUNCT
ejpam-5345	146	1	a	a	DET
ejpam-5345	146	2	function	function	NOUN
ejpam-5345	146	3	g(z	g(z	PROPN
ejpam-5345	146	4	)	)	PUNCT
ejpam-5345	146	5	in	in	ADP
ejpam-5345	146	6	σ	σ	PROPN
ejpam-5345	146	7	is	be	AUX
ejpam-5345	146	8	given	give	VERB
ejpam-5345	146	9	in	in	ADP
ejpam-5345	146	10	(	(	PUNCT
ejpam-5345	146	11	1	1	NUM
ejpam-5345	146	12	)	)	PUNCT
ejpam-5345	146	13	,	,	PUNCT
ejpam-5345	146	14	then	then	ADV
ejpam-5345	146	15	it	it	PRON
ejpam-5345	146	16	is	be	AUX
ejpam-5345	146	17	belong	belong	ADJ
ejpam-5345	146	18	to	to	ADP
ejpam-5345	146	19	the	the	DET
ejpam-5345	146	20	family	family	NOUN
ejpam-5345	146	21	lς(y	lς(y	PUNCT
ejpam-5345	146	22	,	,	PUNCT
ejpam-5345	146	23	γ	γ	PROPN
ejpam-5345	146	24	,	,	PUNCT
ejpam-5345	146	25	µ	µ	NOUN
ejpam-5345	146	26	,	,	PUNCT
ejpam-5345	146	27	k	k	NOUN
ejpam-5345	146	28	,	,	PUNCT
ejpam-5345	146	29	q	q	INTJ
ejpam-5345	146	30	,	,	PUNCT
ejpam-5345	146	31	ψ(s	ψ(s	PROPN
ejpam-5345	146	32	)	)	PUNCT
ejpam-5345	146	33	)	)	PUNCT
ejpam-5345	146	34	,	,	PUNCT
ejpam-5345	146	35	and	and	CCONJ
ejpam-5345	146	36	ψ(s	ψ(s	NUM
ejpam-5345	146	37	)	)	PUNCT
ejpam-5345	146	38	=	=	SYM
ejpam-5345	147	1	2	2	NUM
ejpam-5345	147	2	1+e−s	1+e−s	ADV
ejpam-5345	147	3	,	,	PUNCT
ejpam-5345	147	4	s	s	VERB
ejpam-5345	147	5	≥	≥	NOUN
ejpam-5345	147	6	0	0	NUM
ejpam-5345	147	7	,	,	PUNCT
ejpam-5345	147	8	if	if	SCONJ
ejpam-5345	147	9	z∂q(d	z∂q(d	PROPN
ejpam-5345	147	10	kgψ(z	kgψ(z	PROPN
ejpam-5345	147	11	)	)	PUNCT
ejpam-5345	147	12	)	)	PUNCT
ejpam-5345	148	1	+	+	CCONJ
ejpam-5345	148	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	148	3	(	(	PUNCT
ejpam-5345	148	4	d	d	X
ejpam-5345	148	5	k	k	X
ejpam-5345	148	6	q	q	X
ejpam-5345	148	7	gψ(z	gψ(z	NOUN
ejpam-5345	148	8	)	)	PUNCT
ejpam-5345	148	9	)	)	PUNCT
ejpam-5345	149	1	(	(	PUNCT
ejpam-5345	149	2	1−	1−	NUM
ejpam-5345	149	3	γ	γ	X
ejpam-5345	149	4	)	)	PUNCT
ejpam-5345	149	5	z	z	NOUN
ejpam-5345	150	1	+	+	CCONJ
ejpam-5345	150	2	γz∂q(dk	γz∂q(dk	PROPN
ejpam-5345	150	3	q	q	PROPN
ejpam-5345	150	4	gψ(z	gψ(z	NOUN
ejpam-5345	150	5	)	)	PUNCT
ejpam-5345	150	6	)	)	PUNCT
ejpam-5345	151	1	≺	≺	NOUN
ejpam-5345	151	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	151	3	,	,	PUNCT
ejpam-5345	151	4	z	z	NOUN
ejpam-5345	151	5	)	)	PUNCT
ejpam-5345	152	1	+	+	CCONJ
ejpam-5345	152	2	1−	1−	NUM
ejpam-5345	152	3	α	α	NOUN
ejpam-5345	152	4	,	,	PUNCT
ejpam-5345	152	5	z	z	PROPN
ejpam-5345	152	6	∈	∈	PROPN
ejpam-5345	152	7	d	d	NOUN
ejpam-5345	152	8	and	and	CCONJ
ejpam-5345	152	9	ω∂q(d	ω∂q(d	PROPN
ejpam-5345	152	10	k	k	PROPN
ejpam-5345	152	11	q	q	PROPN
ejpam-5345	152	12	fψ(ω	fψ(ω	PROPN
ejpam-5345	152	13	)	)	PUNCT
ejpam-5345	152	14	)	)	PUNCT
ejpam-5345	153	1	+	+	CCONJ
ejpam-5345	153	2	µω2∂2q	µω2∂2q	X
ejpam-5345	153	3	(	(	PUNCT
ejpam-5345	153	4	d	d	X
ejpam-5345	153	5	k	k	X
ejpam-5345	153	6	q	q	PROPN
ejpam-5345	153	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	153	8	)	)	PUNCT
ejpam-5345	153	9	)	)	PUNCT
ejpam-5345	153	10	(	(	PUNCT
ejpam-5345	153	11	1−	1−	NUM
ejpam-5345	153	12	γ)ω	γ)ω	PUNCT
ejpam-5345	153	13	+	+	CCONJ
ejpam-5345	153	14	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	153	15	q	q	NOUN
ejpam-5345	153	16	fψ(ω	fψ(ω	NUM
ejpam-5345	153	17	)	)	PUNCT
ejpam-5345	153	18	)	)	PUNCT
ejpam-5345	153	19	≺	≺	PROPN
ejpam-5345	153	20	𭟋(y	𭟋(y	PROPN
ejpam-5345	153	21	,	,	PUNCT
ejpam-5345	153	22	ω	ω	NOUN
ejpam-5345	153	23	)	)	PUNCT
ejpam-5345	153	24	+	+	NUM
ejpam-5345	153	25	1−	1−	NUM
ejpam-5345	153	26	α	α	NOUN
ejpam-5345	153	27	,	,	PUNCT
ejpam-5345	153	28	ω	ω	PROPN
ejpam-5345	153	29	∈	∈	PROPN
ejpam-5345	153	30	d.	d.	NOUN
ejpam-5345	153	31	remark	remark	NOUN
ejpam-5345	153	32	5	5	NUM
ejpam-5345	153	33	.	.	PUNCT
ejpam-5345	154	1	it	it	PRON
ejpam-5345	154	2	is	be	AUX
ejpam-5345	154	3	easy	easy	ADJ
ejpam-5345	154	4	to	to	PART
ejpam-5345	154	5	observe	observe	VERB
ejpam-5345	154	6	that	that	SCONJ
ejpam-5345	154	7	the	the	DET
ejpam-5345	154	8	special	special	ADJ
ejpam-5345	154	9	values	value	NOUN
ejpam-5345	154	10	of	of	ADP
ejpam-5345	154	11	γ	γ	NOUN
ejpam-5345	154	12	lead	lead	VERB
ejpam-5345	154	13	the	the	DET
ejpam-5345	154	14	family	family	NOUN
ejpam-5345	154	15	nς(y	nς(y	ADP
ejpam-5345	154	16	,	,	PUNCT
ejpam-5345	154	17	γ	γ	PROPN
ejpam-5345	154	18	,	,	PUNCT
ejpam-5345	154	19	µ	µ	NOUN
ejpam-5345	154	20	,	,	PUNCT
ejpam-5345	154	21	k	k	NOUN
ejpam-5345	154	22	,	,	PUNCT
ejpam-5345	154	23	q	q	INTJ
ejpam-5345	154	24	,	,	PUNCT
ejpam-5345	154	25	ψ(s	ψ(s	PROPN
ejpam-5345	154	26	)	)	PUNCT
ejpam-5345	154	27	)	)	PUNCT
ejpam-5345	154	28	to	to	ADP
ejpam-5345	154	29	the	the	DET
ejpam-5345	154	30	following	follow	VERB
ejpam-5345	154	31	various	various	ADJ
ejpam-5345	154	32	subfamilies	subfamily	NOUN
ejpam-5345	154	33	:	:	PUNCT
ejpam-5345	154	34	(	(	PUNCT
ejpam-5345	154	35	i	i	NOUN
ejpam-5345	154	36	):	):	PUNCT
ejpam-5345	154	37	for	for	ADP
ejpam-5345	154	38	γ	γ	X
ejpam-5345	154	39	=	=	SYM
ejpam-5345	154	40	0	0	NUM
ejpam-5345	154	41	,	,	PUNCT
ejpam-5345	154	42	we	we	PRON
ejpam-5345	154	43	obtain	obtain	VERB
ejpam-5345	154	44	a	a	DET
ejpam-5345	154	45	new	new	ADJ
ejpam-5345	154	46	family	family	NOUN
ejpam-5345	154	47	lς(y	lς(y	PROPN
ejpam-5345	154	48	,	,	PUNCT
ejpam-5345	154	49	γ	γ	PROPN
ejpam-5345	154	50	,	,	PUNCT
ejpam-5345	154	51	µ	µ	NOUN
ejpam-5345	154	52	,	,	PUNCT
ejpam-5345	154	53	k	k	NOUN
ejpam-5345	154	54	,	,	PUNCT
ejpam-5345	154	55	q	q	INTJ
ejpam-5345	154	56	,	,	PUNCT
ejpam-5345	154	57	ψ(s	ψ(s	PROPN
ejpam-5345	154	58	)	)	PUNCT
ejpam-5345	154	59	)	)	PUNCT
ejpam-5345	155	1	=	=	SYM
ejpam-5345	155	2	nς(y	nς(y	X
ejpam-5345	155	3	,	,	PUNCT
ejpam-5345	155	4	µ	µ	X
ejpam-5345	155	5	,	,	PUNCT
ejpam-5345	155	6	k	k	NOUN
ejpam-5345	155	7	,	,	PUNCT
ejpam-5345	155	8	q	q	INTJ
ejpam-5345	155	9	,	,	PUNCT
ejpam-5345	155	10	ψ(s	ψ(s	PROPN
ejpam-5345	155	11	)	)	PUNCT
ejpam-5345	155	12	)	)	PUNCT
ejpam-5345	155	13	of	of	ADP
ejpam-5345	155	14	bi	bi	ADJ
ejpam-5345	155	15	-	-	ADJ
ejpam-5345	155	16	univalent	univalent	ADJ
ejpam-5345	155	17	functions	function	NOUN
ejpam-5345	155	18	connected	connect	VERB
ejpam-5345	155	19	with	with	ADP
ejpam-5345	155	20	sigmoid	sigmoid	NOUN
ejpam-5345	155	21	activation	activation	NOUN
ejpam-5345	155	22	functions	function	NOUN
ejpam-5345	155	23	and	and	CCONJ
ejpam-5345	155	24	horadam	horadam	NOUN
ejpam-5345	155	25	polynomials	polynomial	NOUN
ejpam-5345	155	26	.	.	PUNCT
ejpam-5345	156	1	(	(	PUNCT
ejpam-5345	156	2	ii	ii	NUM
ejpam-5345	156	3	):	):	PUNCT
ejpam-5345	156	4	for	for	ADP
ejpam-5345	156	5	γ	γ	X
ejpam-5345	156	6	=	=	SYM
ejpam-5345	156	7	1	1	NUM
ejpam-5345	156	8	,	,	PUNCT
ejpam-5345	156	9	we	we	PRON
ejpam-5345	156	10	obtain	obtain	VERB
ejpam-5345	156	11	a	a	DET
ejpam-5345	156	12	new	new	ADJ
ejpam-5345	156	13	family	family	NOUN
ejpam-5345	156	14	lς(y	lς(y	PROPN
ejpam-5345	156	15	,	,	PUNCT
ejpam-5345	156	16	γ	γ	PROPN
ejpam-5345	156	17	,	,	PUNCT
ejpam-5345	156	18	µ	µ	NOUN
ejpam-5345	156	19	,	,	PUNCT
ejpam-5345	156	20	k	k	NOUN
ejpam-5345	156	21	,	,	PUNCT
ejpam-5345	156	22	q	q	INTJ
ejpam-5345	156	23	,	,	PUNCT
ejpam-5345	156	24	ψ(s	ψ(s	PROPN
ejpam-5345	156	25	)	)	PUNCT
ejpam-5345	156	26	)	)	PUNCT
ejpam-5345	157	1	=	=	SYM
ejpam-5345	157	2	oς(y	oς(y	NOUN
ejpam-5345	157	3	,	,	PUNCT
ejpam-5345	157	4	µ	µ	NOUN
ejpam-5345	157	5	,	,	PUNCT
ejpam-5345	157	6	k	k	NOUN
ejpam-5345	157	7	,	,	PUNCT
ejpam-5345	157	8	q	q	INTJ
ejpam-5345	157	9	,	,	PUNCT
ejpam-5345	157	10	ψ(s	ψ(s	PROPN
ejpam-5345	157	11	)	)	PUNCT
ejpam-5345	157	12	)	)	PUNCT
ejpam-5345	157	13	of	of	ADP
ejpam-5345	157	14	bi	bi	ADJ
ejpam-5345	157	15	-	-	ADJ
ejpam-5345	157	16	univalent	univalent	ADJ
ejpam-5345	157	17	functions	function	NOUN
ejpam-5345	157	18	connected	connect	VERB
ejpam-5345	157	19	with	with	ADP
ejpam-5345	157	20	sigmoid	sigmoid	NOUN
ejpam-5345	157	21	activation	activation	NOUN
ejpam-5345	157	22	functions	function	NOUN
ejpam-5345	157	23	and	and	CCONJ
ejpam-5345	157	24	horadam	horadam	NOUN
ejpam-5345	157	25	polynomials	polynomial	NOUN
ejpam-5345	157	26	.	.	PUNCT
ejpam-5345	158	1	the	the	DET
ejpam-5345	158	2	class	class	NOUN
ejpam-5345	158	3	bς(y	bς(y	PROPN
ejpam-5345	158	4	,	,	PUNCT
ejpam-5345	158	5	ξ	ξ	PROPN
ejpam-5345	158	6	,	,	PUNCT
ejpam-5345	158	7	τ	τ	PROPN
ejpam-5345	158	8	,	,	PUNCT
ejpam-5345	158	9	k	k	NOUN
ejpam-5345	158	10	,	,	PUNCT
ejpam-5345	158	11	q	q	INTJ
ejpam-5345	158	12	,	,	PUNCT
ejpam-5345	158	13	ψ(s	ψ(s	PROPN
ejpam-5345	158	14	)	)	PUNCT
ejpam-5345	158	15	)	)	PUNCT
ejpam-5345	158	16	definition	definition	NOUN
ejpam-5345	158	17	8	8	NUM
ejpam-5345	158	18	.	.	PUNCT
ejpam-5345	159	1	a	a	DET
ejpam-5345	159	2	function	function	NOUN
ejpam-5345	159	3	g(z	g(z	PROPN
ejpam-5345	159	4	)	)	PUNCT
ejpam-5345	159	5	in	in	ADP
ejpam-5345	159	6	σ	σ	PROPN
ejpam-5345	159	7	is	be	AUX
ejpam-5345	159	8	expressed	express	VERB
ejpam-5345	159	9	as	as	ADP
ejpam-5345	159	10	(	(	PUNCT
ejpam-5345	159	11	1	1	NUM
ejpam-5345	159	12	)	)	PUNCT
ejpam-5345	159	13	,	,	PUNCT
ejpam-5345	159	14	then	then	ADV
ejpam-5345	159	15	it	it	PRON
ejpam-5345	159	16	is	be	AUX
ejpam-5345	159	17	belong	belong	ADJ
ejpam-5345	159	18	to	to	ADP
ejpam-5345	159	19	the	the	DET
ejpam-5345	159	20	family	family	NOUN
ejpam-5345	159	21	bς(y	bς(y	NOUN
ejpam-5345	159	22	,	,	PUNCT
ejpam-5345	159	23	ξ	ξ	PROPN
ejpam-5345	159	24	,	,	PUNCT
ejpam-5345	159	25	τ	τ	PROPN
ejpam-5345	159	26	,	,	PUNCT
ejpam-5345	159	27	k	k	NOUN
ejpam-5345	159	28	,	,	PUNCT
ejpam-5345	159	29	q	q	INTJ
ejpam-5345	159	30	,	,	PUNCT
ejpam-5345	159	31	ψ(s	ψ(s	PROPN
ejpam-5345	159	32	)	)	PUNCT
ejpam-5345	159	33	)	)	PUNCT
ejpam-5345	159	34	,	,	PUNCT
ejpam-5345	159	35	and	and	CCONJ
ejpam-5345	159	36	ψ(s	ψ(s	NUM
ejpam-5345	159	37	)	)	PUNCT
ejpam-5345	159	38	=	=	SYM
ejpam-5345	160	1	2	2	NUM
ejpam-5345	160	2	1+e−s	1+e−s	ADV
ejpam-5345	160	3	,	,	PUNCT
ejpam-5345	160	4	s	s	VERB
ejpam-5345	160	5	≥	≥	NOUN
ejpam-5345	160	6	0	0	NUM
ejpam-5345	160	7	,	,	PUNCT
ejpam-5345	160	8	if	if	SCONJ
ejpam-5345	160	9	(	(	PUNCT
ejpam-5345	160	10	1−	1−	NUM
ejpam-5345	160	11	ξ	ξ	NOUN
ejpam-5345	160	12	)	)	PUNCT
ejpam-5345	161	1	+	+	NUM
ejpam-5345	161	2	ξ	ξ	X
ejpam-5345	161	3	[	[	PUNCT
ejpam-5345	161	4	∂q(z∂q	∂q(z∂q	NOUN
ejpam-5345	161	5	(	(	PUNCT
ejpam-5345	161	6	dk	dk	PROPN
ejpam-5345	161	7	q	q	NOUN
ejpam-5345	161	8	gψ(z	gψ(z	NOUN
ejpam-5345	161	9	)	)	PUNCT
ejpam-5345	161	10	)	)	PUNCT
ejpam-5345	161	11	)	)	PUNCT
ejpam-5345	162	1	]	]	PUNCT
ejpam-5345	162	2	τ	τ	X
ejpam-5345	162	3	∂q(dk	∂q(dk	X
ejpam-5345	162	4	q	q	PROPN
ejpam-5345	162	5	gψ(z	gψ(z	NOUN
ejpam-5345	162	6	)	)	PUNCT
ejpam-5345	162	7	)	)	PUNCT
ejpam-5345	162	8	≺	≺	NOUN
ejpam-5345	162	9	𭟋(y	𭟋(y	PROPN
ejpam-5345	162	10	,	,	PUNCT
ejpam-5345	162	11	z	z	NOUN
ejpam-5345	162	12	)	)	PUNCT
ejpam-5345	163	1	+	+	CCONJ
ejpam-5345	163	2	1−	1−	NUM
ejpam-5345	163	3	α	α	NOUN
ejpam-5345	163	4	,	,	PUNCT
ejpam-5345	163	5	z	z	PROPN
ejpam-5345	163	6	∈	∈	PROPN
ejpam-5345	164	1	d	d	NOUN
ejpam-5345	164	2	,	,	PUNCT
ejpam-5345	164	3	and	and	CCONJ
ejpam-5345	164	4	(	(	PUNCT
ejpam-5345	164	5	1−	1−	NUM
ejpam-5345	164	6	ξ	ξ	NOUN
ejpam-5345	164	7	)	)	PUNCT
ejpam-5345	164	8	+	+	NUM
ejpam-5345	164	9	ξ	ξ	X
ejpam-5345	164	10	[	[	PUNCT
ejpam-5345	164	11	∂q(ω∂q	∂q(ω∂q	NOUN
ejpam-5345	164	12	(	(	PUNCT
ejpam-5345	164	13	dk	dk	PROPN
ejpam-5345	164	14	q	q	PROPN
ejpam-5345	164	15	fψ(ω	fψ(ω	PROPN
ejpam-5345	164	16	)	)	PUNCT
ejpam-5345	164	17	)	)	PUNCT
ejpam-5345	164	18	)	)	PUNCT
ejpam-5345	164	19	]	]	PUNCT
ejpam-5345	164	20	τ	τ	PROPN
ejpam-5345	164	21	∂q(dk	∂q(dk	PROPN
ejpam-5345	164	22	q	q	PROPN
ejpam-5345	164	23	fψ(ω	fψ(ω	NUM
ejpam-5345	164	24	)	)	PUNCT
ejpam-5345	164	25	)	)	PUNCT
ejpam-5345	164	26	≺	≺	PROPN
ejpam-5345	164	27	𭟋(y	𭟋(y	PROPN
ejpam-5345	164	28	,	,	PUNCT
ejpam-5345	164	29	ω	ω	NOUN
ejpam-5345	164	30	)	)	PUNCT
ejpam-5345	164	31	+	+	NUM
ejpam-5345	164	32	1−	1−	NUM
ejpam-5345	164	33	α	α	NOUN
ejpam-5345	164	34	,	,	PUNCT
ejpam-5345	164	35	ω	ω	PROPN
ejpam-5345	164	36	∈	∈	PROPN
ejpam-5345	164	37	d.	d.	NOUN
ejpam-5345	164	38	remark	remark	VERB
ejpam-5345	164	39	6	6	NUM
ejpam-5345	164	40	.	.	PUNCT
ejpam-5345	165	1	it	it	PRON
ejpam-5345	165	2	is	be	AUX
ejpam-5345	165	3	easy	easy	ADJ
ejpam-5345	165	4	to	to	PART
ejpam-5345	165	5	observe	observe	VERB
ejpam-5345	165	6	that	that	SCONJ
ejpam-5345	165	7	the	the	DET
ejpam-5345	165	8	special	special	ADJ
ejpam-5345	165	9	values	value	NOUN
ejpam-5345	165	10	of	of	ADP
ejpam-5345	165	11	γ	γ	PROPN
ejpam-5345	165	12	lead	lead	VERB
ejpam-5345	165	13	the	the	DET
ejpam-5345	165	14	family	family	NOUN
ejpam-5345	165	15	bς(y	bς(y	NOUN
ejpam-5345	165	16	,	,	PUNCT
ejpam-5345	165	17	ξ	ξ	PROPN
ejpam-5345	165	18	,	,	PUNCT
ejpam-5345	165	19	τ	τ	PROPN
ejpam-5345	165	20	,	,	PUNCT
ejpam-5345	165	21	k	k	NOUN
ejpam-5345	165	22	,	,	PUNCT
ejpam-5345	165	23	q	q	INTJ
ejpam-5345	165	24	,	,	PUNCT
ejpam-5345	165	25	ψ(s	ψ(s	PROPN
ejpam-5345	165	26	)	)	PUNCT
ejpam-5345	165	27	)	)	PUNCT
ejpam-5345	165	28	to	to	ADP
ejpam-5345	165	29	the	the	DET
ejpam-5345	165	30	following	follow	VERB
ejpam-5345	165	31	various	various	ADJ
ejpam-5345	165	32	subfamilies	subfamily	NOUN
ejpam-5345	165	33	:	:	PUNCT
ejpam-5345	165	34	(	(	PUNCT
ejpam-5345	165	35	i	i	NOUN
ejpam-5345	165	36	):	):	PUNCT
ejpam-5345	165	37	for	for	ADP
ejpam-5345	165	38	τ	τ	PROPN
ejpam-5345	165	39	=	=	SYM
ejpam-5345	165	40	1	1	NUM
ejpam-5345	165	41	,	,	PUNCT
ejpam-5345	165	42	we	we	PRON
ejpam-5345	165	43	obtain	obtain	VERB
ejpam-5345	165	44	a	a	DET
ejpam-5345	165	45	new	new	ADJ
ejpam-5345	165	46	family	family	NOUN
ejpam-5345	165	47	bς(y	bς(y	NOUN
ejpam-5345	165	48	,	,	PUNCT
ejpam-5345	165	49	ξ	ξ	PROPN
ejpam-5345	165	50	,	,	PUNCT
ejpam-5345	165	51	τ	τ	PROPN
ejpam-5345	165	52	,	,	PUNCT
ejpam-5345	165	53	k	k	NOUN
ejpam-5345	165	54	,	,	PUNCT
ejpam-5345	165	55	q	q	INTJ
ejpam-5345	165	56	,	,	PUNCT
ejpam-5345	165	57	ψ(s	ψ(s	PROPN
ejpam-5345	165	58	)	)	PUNCT
ejpam-5345	165	59	)	)	PUNCT
ejpam-5345	166	1	=	=	SYM
ejpam-5345	166	2	mς(y	mς(y	X
ejpam-5345	166	3	,	,	PUNCT
ejpam-5345	166	4	ξ	ξ	PROPN
ejpam-5345	166	5	,	,	PUNCT
ejpam-5345	166	6	k	k	NOUN
ejpam-5345	166	7	,	,	PUNCT
ejpam-5345	166	8	q	q	INTJ
ejpam-5345	166	9	,	,	PUNCT
ejpam-5345	166	10	ψ(s	ψ(s	PROPN
ejpam-5345	166	11	)	)	PUNCT
ejpam-5345	166	12	)	)	PUNCT
ejpam-5345	166	13	of	of	ADP
ejpam-5345	166	14	bi	bi	ADJ
ejpam-5345	166	15	-	-	ADJ
ejpam-5345	166	16	univalent	univalent	ADJ
ejpam-5345	166	17	functions	function	NOUN
ejpam-5345	166	18	connected	connect	VERB
ejpam-5345	166	19	with	with	ADP
ejpam-5345	166	20	sigmoid	sigmoid	NOUN
ejpam-5345	166	21	activation	activation	NOUN
ejpam-5345	166	22	functions	function	NOUN
ejpam-5345	166	23	and	and	CCONJ
ejpam-5345	166	24	horadam	horadam	NOUN
ejpam-5345	166	25	polynomials	polynomial	NOUN
ejpam-5345	166	26	.	.	PUNCT
ejpam-5345	167	1	(	(	PUNCT
ejpam-5345	167	2	ii	ii	NUM
ejpam-5345	167	3	):	):	PUNCT
ejpam-5345	167	4	for	for	ADP
ejpam-5345	167	5	ξ	ξ	PROPN
ejpam-5345	167	6	=	=	SYM
ejpam-5345	167	7	1	1	NUM
ejpam-5345	167	8	,	,	PUNCT
ejpam-5345	167	9	we	we	PRON
ejpam-5345	167	10	obtain	obtain	VERB
ejpam-5345	167	11	a	a	DET
ejpam-5345	167	12	new	new	ADJ
ejpam-5345	167	13	family	family	NOUN
ejpam-5345	167	14	bς(y	bς(y	NOUN
ejpam-5345	167	15	,	,	PUNCT
ejpam-5345	167	16	ξ	ξ	PROPN
ejpam-5345	167	17	,	,	PUNCT
ejpam-5345	167	18	τ	τ	PROPN
ejpam-5345	167	19	,	,	PUNCT
ejpam-5345	167	20	k	k	NOUN
ejpam-5345	167	21	,	,	PUNCT
ejpam-5345	167	22	q	q	INTJ
ejpam-5345	167	23	,	,	PUNCT
ejpam-5345	167	24	ψ(s	ψ(s	PROPN
ejpam-5345	167	25	)	)	PUNCT
ejpam-5345	167	26	)	)	PUNCT
ejpam-5345	168	1	=	=	SYM
ejpam-5345	168	2	nς(y	nς(y	X
ejpam-5345	168	3	,	,	PUNCT
ejpam-5345	168	4	τ	τ	PROPN
ejpam-5345	168	5	,	,	PUNCT
ejpam-5345	168	6	k	k	NOUN
ejpam-5345	168	7	,	,	PUNCT
ejpam-5345	168	8	q	q	INTJ
ejpam-5345	168	9	,	,	PUNCT
ejpam-5345	168	10	ψ(s	ψ(s	PROPN
ejpam-5345	168	11	)	)	PUNCT
ejpam-5345	168	12	)	)	PUNCT
ejpam-5345	168	13	of	of	ADP
ejpam-5345	168	14	biunivalent	biunivalent	NOUN
ejpam-5345	168	15	functions	function	NOUN
ejpam-5345	168	16	connected	connect	VERB
ejpam-5345	168	17	with	with	ADP
ejpam-5345	168	18	sigmoid	sigmoid	NOUN
ejpam-5345	168	19	activation	activation	NOUN
ejpam-5345	168	20	functions	function	NOUN
ejpam-5345	168	21	and	and	CCONJ
ejpam-5345	168	22	horadam	horadam	NOUN
ejpam-5345	168	23	polynomials	polynomial	NOUN
ejpam-5345	168	24	.	.	PUNCT
ejpam-5345	169	1	n.	n.	PROPN
ejpam-5345	169	2	k.	k.	PROPN
ejpam-5345	169	3	mishra	mishra	PROPN
ejpam-5345	169	4	,	,	PUNCT
ejpam-5345	169	5	m.	m.	PROPN
ejpam-5345	169	6	f.	f.	PROPN
ejpam-5345	169	7	khan	khan	PROPN
ejpam-5345	169	8	,	,	PUNCT
ejpam-5345	169	9	s.	s.	PROPN
ejpam-5345	169	10	a.	a.	PROPN
ejpam-5345	169	11	lone	lone	PROPN
ejpam-5345	169	12	/	/	SYM
ejpam-5345	169	13	eur	eur	PROPN
ejpam-5345	169	14	.	.	PUNCT
ejpam-5345	170	1	j.	j.	PROPN
ejpam-5345	170	2	pure	pure	PROPN
ejpam-5345	170	3	appl	appl	PROPN
ejpam-5345	170	4	.	.	PROPN
ejpam-5345	170	5	math	math	PROPN
ejpam-5345	170	6	,	,	PUNCT
ejpam-5345	170	7	17	17	NUM
ejpam-5345	170	8	(	(	PUNCT
ejpam-5345	170	9	4	4	NUM
ejpam-5345	170	10	)	)	PUNCT
ejpam-5345	170	11	(	(	PUNCT
ejpam-5345	170	12	2024	2024	NUM
ejpam-5345	170	13	)	)	PUNCT
ejpam-5345	170	14	,	,	PUNCT
ejpam-5345	170	15	2516	2516	NUM
ejpam-5345	170	16	-	-	SYM
ejpam-5345	170	17	2537	2537	NUM
ejpam-5345	170	18	2523	2523	NUM
ejpam-5345	170	19	2	2	NUM
ejpam-5345	170	20	.	.	PUNCT
ejpam-5345	170	21	main	main	ADJ
ejpam-5345	170	22	results	result	NOUN
ejpam-5345	170	23	2.1	2.1	NUM
ejpam-5345	170	24	.	.	PUNCT
ejpam-5345	171	1	coefficient	coefficient	NOUN
ejpam-5345	171	2	estimates	estimate	NOUN
ejpam-5345	171	3	and	and	CCONJ
ejpam-5345	171	4	fekete	fekete	PROPN
ejpam-5345	171	5	-	-	PUNCT
ejpam-5345	171	6	szegö	szegö	ADJ
ejpam-5345	171	7	problem	problem	NOUN
ejpam-5345	171	8	for	for	ADP
ejpam-5345	171	9	the	the	DET
ejpam-5345	171	10	class	class	NOUN
ejpam-5345	171	11	sµ,k	sµ,k	PUNCT
ejpam-5345	171	12	σ	σ	PROPN
ejpam-5345	171	13	,	,	PUNCT
ejpam-5345	171	14	y	y	PROPN
ejpam-5345	171	15	,	,	PUNCT
ejpam-5345	171	16	γ(q	γ(q	PROPN
ejpam-5345	171	17	,	,	PUNCT
ejpam-5345	171	18	ψ(s	ψ(s	PROPN
ejpam-5345	171	19	)	)	PUNCT
ejpam-5345	171	20	)	)	PUNCT
ejpam-5345	171	21	theorem	theorem	VERB
ejpam-5345	171	22	1	1	NUM
ejpam-5345	171	23	.	.	PUNCT
ejpam-5345	172	1	let	let	VERB
ejpam-5345	172	2	g(z	g(z	PROPN
ejpam-5345	172	3	)	)	PUNCT
ejpam-5345	173	1	is	be	AUX
ejpam-5345	173	2	of	of	ADP
ejpam-5345	173	3	the	the	DET
ejpam-5345	173	4	form	form	NOUN
ejpam-5345	173	5	(	(	PUNCT
ejpam-5345	173	6	1	1	X
ejpam-5345	173	7	)	)	PUNCT
ejpam-5345	173	8	belong	belong	VERB
ejpam-5345	173	9	to	to	ADP
ejpam-5345	173	10	sµ,k	sµ,k	NOUN
ejpam-5345	173	11	σ	σ	PROPN
ejpam-5345	173	12	,	,	PUNCT
ejpam-5345	173	13	y	y	PROPN
ejpam-5345	173	14	,	,	PUNCT
ejpam-5345	173	15	γ(q	γ(q	PROPN
ejpam-5345	173	16	,	,	PUNCT
ejpam-5345	173	17	ψ(s	ψ(s	PROPN
ejpam-5345	173	18	)	)	PUNCT
ejpam-5345	173	19	)	)	PUNCT
ejpam-5345	173	20	.	.	PUNCT
ejpam-5345	174	1	then	then	ADV
ejpam-5345	174	2	|d2|	|d2|	VERB
ejpam-5345	174	3	≤	≤	ADV
ejpam-5345	174	4	|by|	|by|	PROPN
ejpam-5345	174	5	√	√	NUM
ejpam-5345	174	6	|by|√∣∣∣{(υ2	|by|√∣∣∣{(υ2	PUNCT
ejpam-5345	174	7	(	(	PUNCT
ejpam-5345	174	8	y	y	NOUN
ejpam-5345	174	9	)	)	PUNCT
ejpam-5345	174	10	)	)	PUNCT
ejpam-5345	174	11	2	2	NUM
ejpam-5345	175	1	[	[	X
ejpam-5345	175	2	2]q	2]q	NUM
ejpam-5345	175	3	[	[	X
ejpam-5345	175	4	3	3	NUM
ejpam-5345	175	5	]	]	X
ejpam-5345	175	6	k	k	X
ejpam-5345	175	7	q	q	X
ejpam-5345	176	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	176	2	−	−	NOUN
ejpam-5345	176	3	γ	γ	X
ejpam-5345	176	4	+	+	X
ejpam-5345	176	5	[	[	X
ejpam-5345	176	6	3]q	3]q	NUM
ejpam-5345	176	7	µ)−q	µ)−q	PUNCT
ejpam-5345	176	8	(	(	PUNCT
ejpam-5345	176	9	υ	υ	PROPN
ejpam-5345	176	10	(	(	PUNCT
ejpam-5345	176	11	y	y	NOUN
ejpam-5345	176	12	)	)	PUNCT
ejpam-5345	176	13	,	,	PUNCT
ejpam-5345	176	14	γ	γ	X
ejpam-5345	176	15	,	,	PUNCT
ejpam-5345	176	16	q	q	NOUN
ejpam-5345	176	17	,	,	PUNCT
ejpam-5345	176	18	µ	µ	NOUN
ejpam-5345	176	19	)	)	PUNCT
ejpam-5345	176	20	}	}	PUNCT
ejpam-5345	176	21	∣∣∣	∣∣∣	NOUN
ejpam-5345	176	22	,	,	PUNCT
ejpam-5345	176	23	(	(	PUNCT
ejpam-5345	176	24	7	7	X
ejpam-5345	176	25	)	)	PUNCT
ejpam-5345	176	26	|d3|	|d3|	NOUN
ejpam-5345	176	27	≤	≤	NOUN
ejpam-5345	176	28	(	(	PUNCT
ejpam-5345	176	29	by)2	by)2	NOUN
ejpam-5345	176	30	[	[	X
ejpam-5345	176	31	2]2kq	2]2kq	NUM
ejpam-5345	176	32	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	176	33	−	−	PROPN
ejpam-5345	176	34	γ	γ	X
ejpam-5345	176	35	+	+	X
ejpam-5345	177	1	[	[	X
ejpam-5345	177	2	2]q	2]q	NUM
ejpam-5345	177	3	µ	µ	NOUN
ejpam-5345	177	4	)	)	PUNCT
ejpam-5345	177	5	2	2	NUM
ejpam-5345	178	1	+	+	CCONJ
ejpam-5345	178	2	|by|	|by|	PROPN
ejpam-5345	179	1	[	[	X
ejpam-5345	179	2	2]q	2]q	NUM
ejpam-5345	179	3	[	[	X
ejpam-5345	179	4	3	3	NUM
ejpam-5345	179	5	]	]	X
ejpam-5345	179	6	k	k	X
ejpam-5345	179	7	q	q	X
ejpam-5345	179	8	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	180	1	−	−	NOUN
ejpam-5345	180	2	γ	γ	X
ejpam-5345	180	3	+	+	X
ejpam-5345	180	4	[	[	X
ejpam-5345	180	5	3]q	3]q	NUM
ejpam-5345	180	6	µ	µ	NOUN
ejpam-5345	180	7	)	)	PUNCT
ejpam-5345	180	8	,	,	PUNCT
ejpam-5345	180	9	(	(	PUNCT
ejpam-5345	180	10	8)	8)	NUM
ejpam-5345	180	11	where	where	SCONJ
ejpam-5345	180	12	q	q	NOUN
ejpam-5345	180	13	(	(	PUNCT
ejpam-5345	180	14	υ	υ	PROPN
ejpam-5345	180	15	(	(	PUNCT
ejpam-5345	180	16	y	y	NOUN
ejpam-5345	180	17	)	)	PUNCT
ejpam-5345	180	18	,	,	PUNCT
ejpam-5345	180	19	γ	γ	X
ejpam-5345	180	20	,	,	PUNCT
ejpam-5345	180	21	q	q	NOUN
ejpam-5345	180	22	,	,	PUNCT
ejpam-5345	180	23	µ	µ	NOUN
ejpam-5345	180	24	)	)	PUNCT
ejpam-5345	180	25	=	=	PUNCT
ejpam-5345	181	1	[	[	X
ejpam-5345	181	2	2]2kq	2]2kq	NUM
ejpam-5345	181	3	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	181	4	−	−	PROPN
ejpam-5345	181	5	γ	γ	X
ejpam-5345	181	6	+	+	X
ejpam-5345	182	1	[	[	X
ejpam-5345	182	2	2]q	2]q	NUM
ejpam-5345	182	3	µ	µ	NOUN
ejpam-5345	182	4	)	)	PUNCT
ejpam-5345	182	5	{	{	PUNCT
ejpam-5345	182	6	(	(	PUNCT
ejpam-5345	182	7	υ2	υ2	PROPN
ejpam-5345	182	8	(	(	PUNCT
ejpam-5345	182	9	y	y	NOUN
ejpam-5345	182	10	)	)	PUNCT
ejpam-5345	182	11	)	)	PUNCT
ejpam-5345	182	12	2	2	NUM
ejpam-5345	182	13	(	(	PUNCT
ejpam-5345	182	14	1	1	NUM
ejpam-5345	182	15	+	+	CCONJ
ejpam-5345	182	16	γ	γ	X
ejpam-5345	182	17	)	)	PUNCT
ejpam-5345	182	18	+	+	NOUN
ejpam-5345	182	19	υ3(y)(q	υ3(y)(q	PROPN
ejpam-5345	182	20	−	−	X
ejpam-5345	182	21	γ	γ	X
ejpam-5345	182	22	+	+	X
ejpam-5345	183	1	[	[	X
ejpam-5345	183	2	2]q	2]q	NUM
ejpam-5345	183	3	µ	µ	NOUN
ejpam-5345	183	4	)	)	PUNCT
ejpam-5345	183	5	}	}	PUNCT
ejpam-5345	183	6	.	.	PUNCT
ejpam-5345	184	1	for	for	ADP
ejpam-5345	184	2	δ	δ	PROPN
ejpam-5345	184	3	∈	∈	PROPN
ejpam-5345	184	4	r	r	NOUN
ejpam-5345	184	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	184	6	−	−	PROPN
ejpam-5345	184	7	δd22	δd22	PROPN
ejpam-5345	184	8	∣∣	∣∣	NUM
ejpam-5345	184	9	≤	≤	NUM
ejpam-5345	184	10			PUNCT
ejpam-5345	184	11	|by|	|by|	PROPN
ejpam-5345	184	12	[	[	X
ejpam-5345	184	13	2]q	2]q	NUM
ejpam-5345	184	14	[	[	X
ejpam-5345	184	15	3	3	NUM
ejpam-5345	184	16	]	]	X
ejpam-5345	184	17	k	k	PROPN
ejpam-5345	184	18	qψ(s)(q−γ+[3]qµ	qψ(s)(q−γ+[3]qµ	PROPN
ejpam-5345	184	19	)	)	PUNCT
ejpam-5345	184	20	,	,	PUNCT
ejpam-5345	184	21	|1−	|1−	INTJ
ejpam-5345	184	22	δ|	δ|	ADJ
ejpam-5345	184	23	≤	≤	PROPN
ejpam-5345	184	24	j	j	PROPN
ejpam-5345	184	25	,	,	PUNCT
ejpam-5345	184	26	|by|3|1−δ|	|by|3|1−δ|	PROPN
ejpam-5345	184	27	|{(υ2(y	|{(υ2(y	PROPN
ejpam-5345	184	28	)	)	PUNCT
ejpam-5345	184	29	)	)	PUNCT
ejpam-5345	185	1	2[2]q	2[2]q	NUM
ejpam-5345	186	1	[	[	X
ejpam-5345	186	2	3	3	NUM
ejpam-5345	186	3	]	]	X
ejpam-5345	186	4	k	k	PROPN
ejpam-5345	186	5	qψ(s)(q−γ+[3]qµ)−q(υ(y),γ	qψ(s)(q−γ+[3]qµ)−q(υ(y),γ	PROPN
ejpam-5345	186	6	,	,	PUNCT
ejpam-5345	186	7	q,µ)}|	q,µ)}|	PROPN
ejpam-5345	186	8	,	,	PUNCT
ejpam-5345	186	9	|1−	|1−	INTJ
ejpam-5345	186	10	δ|	δ|	PROPN
ejpam-5345	186	11	≥	≥	NUM
ejpam-5345	186	12	j	j	NOUN
ejpam-5345	186	13	,	,	PUNCT
ejpam-5345	186	14	(	(	PUNCT
ejpam-5345	186	15	9	9	NUM
ejpam-5345	186	16	)	)	PUNCT
ejpam-5345	186	17	where	where	SCONJ
ejpam-5345	186	18	j	j	NOUN
ejpam-5345	186	19	=	=	SYM
ejpam-5345	186	20	∣∣∣{[2]q	∣∣∣{[2]q	PROPN
ejpam-5345	186	21	[	[	X
ejpam-5345	186	22	3]kq	3]kq	NUM
ejpam-5345	186	23	ψ(s)(q	ψ(s)(q	NUM
ejpam-5345	186	24	−	−	PROPN
ejpam-5345	186	25	γ	γ	X
ejpam-5345	186	26	+	+	X
ejpam-5345	186	27	[	[	X
ejpam-5345	186	28	3]q	3]q	NUM
ejpam-5345	186	29	µ)−	µ)−	NOUN
ejpam-5345	186	30	(	(	PUNCT
ejpam-5345	186	31	υ2(y	υ2(y	NOUN
ejpam-5345	186	32	)	)	PUNCT
ejpam-5345	186	33	)	)	PUNCT
ejpam-5345	186	34	2q	2q	NOUN
ejpam-5345	186	35	(	(	PUNCT
ejpam-5345	186	36	υ	υ	NOUN
ejpam-5345	186	37	(	(	PUNCT
ejpam-5345	186	38	y	y	NOUN
ejpam-5345	186	39	)	)	PUNCT
ejpam-5345	186	40	,	,	PUNCT
ejpam-5345	186	41	γ	γ	X
ejpam-5345	186	42	,	,	PUNCT
ejpam-5345	186	43	q	q	NOUN
ejpam-5345	186	44	,	,	PUNCT
ejpam-5345	186	45	µ	µ	NOUN
ejpam-5345	186	46	)	)	PUNCT
ejpam-5345	186	47	}	}	PUNCT
ejpam-5345	186	48	∣∣∣	∣∣∣	NOUN
ejpam-5345	187	1	[	[	X
ejpam-5345	187	2	2]q	2]q	NUM
ejpam-5345	187	3	[	[	X
ejpam-5345	187	4	3	3	NUM
ejpam-5345	187	5	]	]	X
ejpam-5345	187	6	k	k	X
ejpam-5345	187	7	q	q	X
ejpam-5345	188	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	188	2	−	−	NOUN
ejpam-5345	188	3	γ	γ	X
ejpam-5345	188	4	+	+	X
ejpam-5345	188	5	[	[	X
ejpam-5345	188	6	3]q	3]q	NUM
ejpam-5345	188	7	µ	µ	NOUN
ejpam-5345	188	8	)	)	PUNCT
ejpam-5345	188	9	.	.	PUNCT
ejpam-5345	189	1	proof	proof	NOUN
ejpam-5345	189	2	.	.	PUNCT
ejpam-5345	190	1	let	let	VERB
ejpam-5345	190	2	g(z	g(z	ADJ
ejpam-5345	190	3	)	)	PUNCT
ejpam-5345	190	4	∈	∈	PROPN
ejpam-5345	190	5	sµ,k	sµ,k	PUNCT
ejpam-5345	190	6	σ	σ	PROPN
ejpam-5345	190	7	,	,	PUNCT
ejpam-5345	190	8	y	y	PROPN
ejpam-5345	190	9	,	,	PUNCT
ejpam-5345	190	10	γ(q	γ(q	PROPN
ejpam-5345	190	11	,	,	PUNCT
ejpam-5345	190	12	ψ(s	ψ(s	PROPN
ejpam-5345	190	13	)	)	PUNCT
ejpam-5345	190	14	)	)	PUNCT
ejpam-5345	190	15	.	.	PUNCT
ejpam-5345	191	1	then	then	ADV
ejpam-5345	191	2	,	,	PUNCT
ejpam-5345	191	3	for	for	ADP
ejpam-5345	191	4	the	the	DET
ejpam-5345	191	5	analytic	analytic	ADJ
ejpam-5345	191	6	functions	function	NOUN
ejpam-5345	191	7	m(z	m(z	PROPN
ejpam-5345	191	8	)	)	PUNCT
ejpam-5345	191	9	and	and	CCONJ
ejpam-5345	191	10	n(z	n(z	NOUN
ejpam-5345	191	11	)	)	PUNCT
ejpam-5345	191	12	such	such	ADJ
ejpam-5345	191	13	that	that	DET
ejpam-5345	191	14	m(0	m(0	NOUN
ejpam-5345	191	15	)	)	PUNCT
ejpam-5345	191	16	=	=	SYM
ejpam-5345	191	17	n(0	n(0	PROPN
ejpam-5345	191	18	)	)	PUNCT
ejpam-5345	191	19	=	=	SYM
ejpam-5345	191	20	0	0	NUM
ejpam-5345	191	21	and	and	CCONJ
ejpam-5345	191	22	|m(z)|	|m(z)|	VERB
ejpam-5345	191	23	<	<	X
ejpam-5345	191	24	1	1	NUM
ejpam-5345	191	25	and	and	CCONJ
ejpam-5345	191	26	|n(ω)|	|n(ω)|	ADJ
ejpam-5345	191	27	<	<	X
ejpam-5345	191	28	1	1	NUM
ejpam-5345	191	29	,	,	PUNCT
ejpam-5345	191	30	z	z	PROPN
ejpam-5345	191	31	,	,	PUNCT
ejpam-5345	191	32	ω	ω	PROPN
ejpam-5345	191	33	∈	∈	PROPN
ejpam-5345	191	34	d.	d.	PROPN
ejpam-5345	191	35	by	by	ADP
ejpam-5345	191	36	definition	definition	NOUN
ejpam-5345	191	37	6	6	NUM
ejpam-5345	191	38	,	,	PUNCT
ejpam-5345	191	39	we	we	PRON
ejpam-5345	191	40	can	can	AUX
ejpam-5345	191	41	write	write	VERB
ejpam-5345	191	42	z∂q(d	z∂q(d	PROPN
ejpam-5345	191	43	k	k	PROPN
ejpam-5345	191	44	q	q	X
ejpam-5345	191	45	gψ(z	gψ(z	NOUN
ejpam-5345	191	46	)	)	PUNCT
ejpam-5345	191	47	)	)	PUNCT
ejpam-5345	192	1	+	+	CCONJ
ejpam-5345	192	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	192	3	(	(	PUNCT
ejpam-5345	192	4	d	d	X
ejpam-5345	192	5	k	k	X
ejpam-5345	192	6	q	q	X
ejpam-5345	192	7	gψ(z	gψ(z	NOUN
ejpam-5345	192	8	)	)	PUNCT
ejpam-5345	192	9	)	)	PUNCT
ejpam-5345	192	10	(	(	PUNCT
ejpam-5345	192	11	1−	1−	NUM
ejpam-5345	192	12	γ)dk	γ)dk	PROPN
ejpam-5345	192	13	q	q	NOUN
ejpam-5345	192	14	gψ(z	gψ(z	NOUN
ejpam-5345	192	15	)	)	PUNCT
ejpam-5345	192	16	+	+	CCONJ
ejpam-5345	192	17	γz∂q(dk	γz∂q(dk	ADJ
ejpam-5345	192	18	q	q	PROPN
ejpam-5345	192	19	gψ(z	gψ(z	NOUN
ejpam-5345	192	20	)	)	PUNCT
ejpam-5345	192	21	)	)	PUNCT
ejpam-5345	193	1	=	=	SYM
ejpam-5345	193	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	193	3	,	,	PUNCT
ejpam-5345	193	4	m	m	PROPN
ejpam-5345	193	5	(	(	PUNCT
ejpam-5345	193	6	z	z	NOUN
ejpam-5345	193	7	)	)	PUNCT
ejpam-5345	193	8	)	)	PUNCT
ejpam-5345	194	1	+	+	CCONJ
ejpam-5345	194	2	1−	1−	NUM
ejpam-5345	194	3	α	α	NOUN
ejpam-5345	194	4	and	and	CCONJ
ejpam-5345	194	5	ω∂q(d	ω∂q(d	NOUN
ejpam-5345	194	6	k	k	PROPN
ejpam-5345	194	7	q	q	PROPN
ejpam-5345	194	8	fψ(ω	fψ(ω	PROPN
ejpam-5345	194	9	)	)	PUNCT
ejpam-5345	194	10	)	)	PUNCT
ejpam-5345	195	1	+	+	CCONJ
ejpam-5345	195	2	µω2∂2q	µω2∂2q	X
ejpam-5345	195	3	(	(	PUNCT
ejpam-5345	195	4	d	d	X
ejpam-5345	195	5	k	k	X
ejpam-5345	195	6	q	q	PROPN
ejpam-5345	195	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	195	8	)	)	PUNCT
ejpam-5345	195	9	)	)	PUNCT
ejpam-5345	195	10	(	(	PUNCT
ejpam-5345	195	11	1−	1−	NUM
ejpam-5345	195	12	γ)dkfψ(ω	γ)dkfψ(ω	NOUN
ejpam-5345	195	13	)	)	PUNCT
ejpam-5345	195	14	+	+	CCONJ
ejpam-5345	195	15	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	195	16	q	q	NOUN
ejpam-5345	195	17	fψ(ω	fψ(ω	NUM
ejpam-5345	195	18	)	)	PUNCT
ejpam-5345	195	19	)	)	PUNCT
ejpam-5345	196	1	=	=	SYM
ejpam-5345	196	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	196	3	,	,	PUNCT
ejpam-5345	196	4	n	n	PROPN
ejpam-5345	196	5	(	(	PUNCT
ejpam-5345	196	6	ω	ω	NOUN
ejpam-5345	196	7	)	)	PUNCT
ejpam-5345	196	8	)	)	PUNCT
ejpam-5345	197	1	+	+	CCONJ
ejpam-5345	197	2	1−	1−	NUM
ejpam-5345	197	3	α	α	NOUN
ejpam-5345	197	4	.	.	PUNCT
ejpam-5345	198	1	or	or	CCONJ
ejpam-5345	198	2	z∂q(d	z∂q(d	NUM
ejpam-5345	198	3	k	k	NOUN
ejpam-5345	198	4	q	q	X
ejpam-5345	198	5	gψ(z	gψ(z	NOUN
ejpam-5345	198	6	)	)	PUNCT
ejpam-5345	198	7	)	)	PUNCT
ejpam-5345	199	1	+	+	CCONJ
ejpam-5345	199	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	199	3	(	(	PUNCT
ejpam-5345	199	4	d	d	X
ejpam-5345	199	5	k	k	X
ejpam-5345	199	6	q	q	X
ejpam-5345	199	7	gψ(z	gψ(z	NOUN
ejpam-5345	199	8	)	)	PUNCT
ejpam-5345	199	9	)	)	PUNCT
ejpam-5345	199	10	(	(	PUNCT
ejpam-5345	199	11	1−	1−	NUM
ejpam-5345	199	12	γ)dk	γ)dk	PROPN
ejpam-5345	199	13	q	q	NOUN
ejpam-5345	199	14	gψ(z	gψ(z	NOUN
ejpam-5345	199	15	)	)	PUNCT
ejpam-5345	199	16	+	+	CCONJ
ejpam-5345	199	17	γz∂q(dk	γz∂q(dk	ADJ
ejpam-5345	199	18	q	q	PROPN
ejpam-5345	199	19	gψ(z	gψ(z	NOUN
ejpam-5345	199	20	)	)	PUNCT
ejpam-5345	199	21	)	)	PUNCT
ejpam-5345	200	1	n.	n.	PROPN
ejpam-5345	200	2	k.	k.	PROPN
ejpam-5345	200	3	mishra	mishra	PROPN
ejpam-5345	200	4	,	,	PUNCT
ejpam-5345	200	5	m.	m.	PROPN
ejpam-5345	200	6	f.	f.	PROPN
ejpam-5345	200	7	khan	khan	PROPN
ejpam-5345	200	8	,	,	PUNCT
ejpam-5345	200	9	s.	s.	PROPN
ejpam-5345	200	10	a.	a.	PROPN
ejpam-5345	200	11	lone	lone	PROPN
ejpam-5345	200	12	/	/	SYM
ejpam-5345	200	13	eur	eur	PROPN
ejpam-5345	200	14	.	.	PUNCT
ejpam-5345	201	1	j.	j.	PROPN
ejpam-5345	201	2	pure	pure	PROPN
ejpam-5345	201	3	appl	appl	PROPN
ejpam-5345	201	4	.	.	PROPN
ejpam-5345	201	5	math	math	PROPN
ejpam-5345	201	6	,	,	PUNCT
ejpam-5345	201	7	17	17	NUM
ejpam-5345	201	8	(	(	PUNCT
ejpam-5345	201	9	4	4	NUM
ejpam-5345	201	10	)	)	PUNCT
ejpam-5345	201	11	(	(	PUNCT
ejpam-5345	201	12	2024	2024	NUM
ejpam-5345	201	13	)	)	PUNCT
ejpam-5345	201	14	,	,	PUNCT
ejpam-5345	201	15	2516	2516	NUM
ejpam-5345	201	16	-	-	SYM
ejpam-5345	201	17	2537	2537	NUM
ejpam-5345	201	18	2524	2524	NUM
ejpam-5345	201	19	=	=	SYM
ejpam-5345	201	20	1	1	NUM
ejpam-5345	201	21	+	+	CCONJ
ejpam-5345	201	22	υ1	υ1	PROPN
ejpam-5345	201	23	(	(	PUNCT
ejpam-5345	201	24	y)−	y)−	PROPN
ejpam-5345	201	25	a+υ2	a+υ2	NOUN
ejpam-5345	201	26	(	(	PUNCT
ejpam-5345	201	27	y)m(z	y)m(z	NUM
ejpam-5345	201	28	)	)	PUNCT
ejpam-5345	201	29	+	+	CCONJ
ejpam-5345	201	30	υ3	υ3	PROPN
ejpam-5345	201	31	(	(	PUNCT
ejpam-5345	201	32	y	y	NOUN
ejpam-5345	201	33	)	)	PUNCT
ejpam-5345	201	34	(	(	PUNCT
ejpam-5345	201	35	m(z))2	m(z))2	NOUN
ejpam-5345	202	1	+	+	X
ejpam-5345	202	2	.	.	PUNCT
ejpam-5345	202	3	.	.	PUNCT
ejpam-5345	202	4	.	.	PUNCT
ejpam-5345	203	1	(	(	PUNCT
ejpam-5345	203	2	10	10	NUM
ejpam-5345	203	3	)	)	PUNCT
ejpam-5345	203	4	and	and	CCONJ
ejpam-5345	203	5	ω∂q(d	ω∂q(d	NUM
ejpam-5345	203	6	k	k	X
ejpam-5345	203	7	q	q	PROPN
ejpam-5345	203	8	fψ(ω	fψ(ω	PROPN
ejpam-5345	203	9	)	)	PUNCT
ejpam-5345	203	10	)	)	PUNCT
ejpam-5345	204	1	+	+	CCONJ
ejpam-5345	204	2	µω2∂2q	µω2∂2q	X
ejpam-5345	204	3	(	(	PUNCT
ejpam-5345	204	4	d	d	X
ejpam-5345	204	5	k	k	X
ejpam-5345	204	6	q	q	PROPN
ejpam-5345	204	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	204	8	)	)	PUNCT
ejpam-5345	204	9	)	)	PUNCT
ejpam-5345	204	10	(	(	PUNCT
ejpam-5345	204	11	1−	1−	NUM
ejpam-5345	204	12	γ)dkfψ(ω	γ)dkfψ(ω	NOUN
ejpam-5345	204	13	)	)	PUNCT
ejpam-5345	204	14	+	+	CCONJ
ejpam-5345	204	15	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	204	16	q	q	NOUN
ejpam-5345	204	17	fψ(ω	fψ(ω	NUM
ejpam-5345	204	18	)	)	PUNCT
ejpam-5345	204	19	)	)	PUNCT
ejpam-5345	204	20	=	=	SYM
ejpam-5345	205	1	1	1	NUM
ejpam-5345	205	2	+	+	X
ejpam-5345	205	3	υ1	υ1	PROPN
ejpam-5345	205	4	(	(	PUNCT
ejpam-5345	205	5	y)−	y)−	PROPN
ejpam-5345	205	6	a+υ2	a+υ2	NOUN
ejpam-5345	205	7	(	(	PUNCT
ejpam-5345	205	8	y)n(ω	y)n(ω	NUM
ejpam-5345	205	9	)	)	PUNCT
ejpam-5345	205	10	+	+	NUM
ejpam-5345	205	11	scυ3	scυ3	NOUN
ejpam-5345	205	12	(	(	PUNCT
ejpam-5345	205	13	y	y	NOUN
ejpam-5345	205	14	)	)	PUNCT
ejpam-5345	205	15	(	(	PUNCT
ejpam-5345	205	16	n(ω	n(ω	NOUN
ejpam-5345	205	17	)	)	PUNCT
ejpam-5345	205	18	)	)	PUNCT
ejpam-5345	205	19	2	2	NUM
ejpam-5345	206	1	+	+	CCONJ
ejpam-5345	206	2	.	.	PUNCT
ejpam-5345	206	3	.	.	PUNCT
ejpam-5345	206	4	.	.	PUNCT
ejpam-5345	207	1	.	.	PUNCT
ejpam-5345	208	1	(	(	PUNCT
ejpam-5345	208	2	11	11	NUM
ejpam-5345	208	3	)	)	PUNCT
ejpam-5345	208	4	based	base	VERB
ejpam-5345	208	5	on	on	ADP
ejpam-5345	208	6	(	(	PUNCT
ejpam-5345	208	7	10	10	NUM
ejpam-5345	208	8	)	)	PUNCT
ejpam-5345	208	9	and	and	CCONJ
ejpam-5345	208	10	(	(	PUNCT
ejpam-5345	208	11	11	11	NUM
ejpam-5345	208	12	)	)	PUNCT
ejpam-5345	208	13	,	,	PUNCT
ejpam-5345	208	14	in	in	ADP
ejpam-5345	208	15	view	view	NOUN
ejpam-5345	208	16	of	of	ADP
ejpam-5345	208	17	(	(	PUNCT
ejpam-5345	208	18	5	5	NUM
ejpam-5345	208	19	)	)	PUNCT
ejpam-5345	208	20	,	,	PUNCT
ejpam-5345	208	21	we	we	PRON
ejpam-5345	208	22	may	may	AUX
ejpam-5345	208	23	deduce	deduce	VERB
ejpam-5345	208	24	z∂q(d	z∂q(d	PROPN
ejpam-5345	208	25	k	k	NOUN
ejpam-5345	208	26	q	q	X
ejpam-5345	208	27	gψ(z	gψ(z	NOUN
ejpam-5345	208	28	)	)	PUNCT
ejpam-5345	208	29	)	)	PUNCT
ejpam-5345	209	1	+	+	CCONJ
ejpam-5345	209	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	209	3	(	(	PUNCT
ejpam-5345	209	4	d	d	X
ejpam-5345	209	5	k	k	X
ejpam-5345	209	6	q	q	X
ejpam-5345	209	7	gψ(z	gψ(z	NOUN
ejpam-5345	209	8	)	)	PUNCT
ejpam-5345	209	9	)	)	PUNCT
ejpam-5345	209	10	(	(	PUNCT
ejpam-5345	209	11	1−	1−	NUM
ejpam-5345	209	12	γ)dk	γ)dk	PROPN
ejpam-5345	209	13	q	q	NOUN
ejpam-5345	209	14	gψ(z	gψ(z	NOUN
ejpam-5345	209	15	)	)	PUNCT
ejpam-5345	209	16	+	+	CCONJ
ejpam-5345	209	17	γz∂q(dk	γz∂q(dk	ADJ
ejpam-5345	209	18	q	q	PROPN
ejpam-5345	209	19	gψ(z	gψ(z	NOUN
ejpam-5345	209	20	)	)	PUNCT
ejpam-5345	209	21	)	)	PUNCT
ejpam-5345	210	1	=	=	SYM
ejpam-5345	210	2	1	1	NUM
ejpam-5345	211	1	+	+	NUM
ejpam-5345	211	2	υ2	υ2	NOUN
ejpam-5345	211	3	(	(	PUNCT
ejpam-5345	211	4	y)m1z	y)m1z	NOUN
ejpam-5345	211	5	+	+	CCONJ
ejpam-5345	211	6	[	[	PUNCT
ejpam-5345	211	7	υ2	υ2	NOUN
ejpam-5345	211	8	(	(	PUNCT
ejpam-5345	211	9	y)m2	y)m2	PROPN
ejpam-5345	211	10	+	+	PROPN
ejpam-5345	211	11	υ3	υ3	PROPN
ejpam-5345	211	12	(	(	PUNCT
ejpam-5345	211	13	y)m	y)m	X
ejpam-5345	211	14	2	2	NUM
ejpam-5345	211	15	1	1	NUM
ejpam-5345	211	16	]	]	PUNCT
ejpam-5345	211	17	z2	z2	PROPN
ejpam-5345	211	18	+	+	CCONJ
ejpam-5345	211	19	·	·	PUNCT
ejpam-5345	211	20	·	·	PUNCT
ejpam-5345	211	21	·	·	PUNCT
ejpam-5345	211	22	(	(	PUNCT
ejpam-5345	211	23	12	12	NUM
ejpam-5345	211	24	)	)	PUNCT
ejpam-5345	211	25	and	and	CCONJ
ejpam-5345	211	26	ω∂q(d	ω∂q(d	NUM
ejpam-5345	211	27	k	k	X
ejpam-5345	211	28	q	q	PROPN
ejpam-5345	211	29	fψ(ω	fψ(ω	PROPN
ejpam-5345	211	30	)	)	PUNCT
ejpam-5345	211	31	)	)	PUNCT
ejpam-5345	212	1	+	+	CCONJ
ejpam-5345	212	2	µω2∂2q	µω2∂2q	X
ejpam-5345	212	3	(	(	PUNCT
ejpam-5345	212	4	d	d	X
ejpam-5345	212	5	k	k	X
ejpam-5345	212	6	q	q	PROPN
ejpam-5345	212	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	212	8	)	)	PUNCT
ejpam-5345	212	9	)	)	PUNCT
ejpam-5345	212	10	(	(	PUNCT
ejpam-5345	212	11	1−	1−	NUM
ejpam-5345	212	12	γ)dkfψ(ω	γ)dkfψ(ω	NOUN
ejpam-5345	212	13	)	)	PUNCT
ejpam-5345	212	14	+	+	CCONJ
ejpam-5345	212	15	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	212	16	q	q	NOUN
ejpam-5345	212	17	fψ(ω	fψ(ω	NUM
ejpam-5345	212	18	)	)	PUNCT
ejpam-5345	212	19	)	)	PUNCT
ejpam-5345	212	20	=	=	SYM
ejpam-5345	213	1	1	1	NUM
ejpam-5345	213	2	+	+	NUM
ejpam-5345	213	3	υ2	υ2	NOUN
ejpam-5345	213	4	(	(	PUNCT
ejpam-5345	213	5	y)n1ω	y)n1ω	NOUN
ejpam-5345	213	6	+	+	CCONJ
ejpam-5345	213	7	[	[	PUNCT
ejpam-5345	213	8	υ2	υ2	NOUN
ejpam-5345	213	9	(	(	PUNCT
ejpam-5345	213	10	y)n2	y)n2	PROPN
ejpam-5345	213	11	+	+	NOUN
ejpam-5345	213	12	υ3	υ3	PROPN
ejpam-5345	213	13	(	(	PUNCT
ejpam-5345	213	14	y)n	y)n	ADJ
ejpam-5345	213	15	2	2	NUM
ejpam-5345	213	16	1	1	NUM
ejpam-5345	213	17	]	]	PUNCT
ejpam-5345	213	18	ω2	ω2	PROPN
ejpam-5345	213	19	+	+	CCONJ
ejpam-5345	213	20	·	·	PUNCT
ejpam-5345	213	21	·	·	PUNCT
ejpam-5345	213	22	·	·	PUNCT
ejpam-5345	213	23	.	.	PUNCT
ejpam-5345	214	1	(	(	PUNCT
ejpam-5345	214	2	13	13	NUM
ejpam-5345	214	3	)	)	PUNCT
ejpam-5345	214	4	it	it	PRON
ejpam-5345	214	5	is	be	AUX
ejpam-5345	214	6	well	well	ADV
ejpam-5345	214	7	known	know	VERB
ejpam-5345	214	8	that	that	SCONJ
ejpam-5345	214	9	if	if	SCONJ
ejpam-5345	214	10	|m(z)|	|m(z)|	NOUN
ejpam-5345	214	11	=	=	SYM
ejpam-5345	214	12	|m1z	|m1z	PROPN
ejpam-5345	214	13	+	+	NOUN
ejpam-5345	214	14	m2z	m2z	PROPN
ejpam-5345	214	15	2	2	NUM
ejpam-5345	214	16	+	+	NOUN
ejpam-5345	214	17	m3z	m3z	NOUN
ejpam-5345	214	18	3	3	NUM
ejpam-5345	214	19	+	+	NUM
ejpam-5345	214	20	...	...	PUNCT
ejpam-5345	214	21	|	|	ADV
ejpam-5345	214	22	<	<	X
ejpam-5345	214	23	1	1	NUM
ejpam-5345	214	24	,	,	PUNCT
ejpam-5345	214	25	z	z	NOUN
ejpam-5345	214	26	∈	∈	PROPN
ejpam-5345	214	27	d	d	NOUN
ejpam-5345	214	28	and	and	CCONJ
ejpam-5345	214	29	|n(ω)|	|n(ω)|	PROPN
ejpam-5345	214	30	=	=	SYM
ejpam-5345	214	31	|n1ω	|n1ω	X
ejpam-5345	214	32	+	+	NUM
ejpam-5345	214	33	n2ω	n2ω	NOUN
ejpam-5345	214	34	2	2	NUM
ejpam-5345	214	35	+	+	NUM
ejpam-5345	214	36	n3ω	n3ω	NOUN
ejpam-5345	214	37	3	3	NUM
ejpam-5345	214	38	+	+	CCONJ
ejpam-5345	214	39	...	...	PUNCT
ejpam-5345	214	40	|	|	ADV
ejpam-5345	214	41	<	<	X
ejpam-5345	214	42	1	1	NUM
ejpam-5345	214	43	,	,	PUNCT
ejpam-5345	214	44	ω	ω	PROPN
ejpam-5345	214	45	∈	∈	PROPN
ejpam-5345	214	46	d	d	NOUN
ejpam-5345	214	47	,	,	PUNCT
ejpam-5345	214	48	then	then	ADV
ejpam-5345	214	49	|mi|	|mi|	VERB
ejpam-5345	214	50	≤	≤	NUM
ejpam-5345	214	51	1	1	NUM
ejpam-5345	214	52	and	and	CCONJ
ejpam-5345	214	53	|ni|	|ni|	PRON
ejpam-5345	214	54	≤	≤	NUM
ejpam-5345	214	55	1	1	NUM
ejpam-5345	214	56	,	,	PUNCT
ejpam-5345	214	57	for	for	ADP
ejpam-5345	214	58	(	(	PUNCT
ejpam-5345	214	59	i	i	PROPN
ejpam-5345	214	60	∈	∈	PROPN
ejpam-5345	214	61	n	n	CCONJ
ejpam-5345	214	62	)	)	PUNCT
ejpam-5345	214	63	.	.	PUNCT
ejpam-5345	215	1	(	(	PUNCT
ejpam-5345	215	2	14	14	NUM
ejpam-5345	215	3	)	)	PUNCT
ejpam-5345	215	4	comparing	compare	VERB
ejpam-5345	215	5	the	the	DET
ejpam-5345	215	6	coefficients	coefficient	NOUN
ejpam-5345	215	7	of	of	ADP
ejpam-5345	215	8	(	(	PUNCT
ejpam-5345	215	9	12	12	NUM
ejpam-5345	215	10	)	)	PUNCT
ejpam-5345	215	11	and	and	CCONJ
ejpam-5345	215	12	(	(	PUNCT
ejpam-5345	215	13	13	13	NUM
ejpam-5345	215	14	)	)	PUNCT
ejpam-5345	215	15	,	,	PUNCT
ejpam-5345	215	16	we	we	PRON
ejpam-5345	215	17	have	have	VERB
ejpam-5345	215	18	[	[	X
ejpam-5345	215	19	2]kq	2]kq	NUM
ejpam-5345	215	20	ψ(s)(q	ψ(s)(q	NOUN
ejpam-5345	215	21	−	−	NOUN
ejpam-5345	216	1	γ	γ	X
ejpam-5345	217	1	+	+	X
ejpam-5345	218	1	[	[	X
ejpam-5345	218	2	2]q	2]q	NUM
ejpam-5345	218	3	µ)d2	µ)d2	PROPN
ejpam-5345	218	4	=	=	SYM
ejpam-5345	218	5	υ2(y)m1	υ2(y)m1	NOUN
ejpam-5345	218	6	,	,	PUNCT
ejpam-5345	218	7	(	(	PUNCT
ejpam-5345	218	8	15	15	NUM
ejpam-5345	218	9	)	)	PUNCT
ejpam-5345	218	10	{	{	PUNCT
ejpam-5345	219	1	[	[	X
ejpam-5345	219	2	2]q	2]q	NUM
ejpam-5345	219	3	[	[	X
ejpam-5345	219	4	3	3	NUM
ejpam-5345	219	5	]	]	X
ejpam-5345	219	6	k	k	X
ejpam-5345	219	7	q	q	PUNCT
ejpam-5345	219	8	ψ(s))(q	ψ(s))(q	ADJ
ejpam-5345	219	9	−	−	NOUN
ejpam-5345	219	10	γ	γ	X
ejpam-5345	219	11	+	+	X
ejpam-5345	219	12	[	[	X
ejpam-5345	219	13	3]q	3]q	NUM
ejpam-5345	219	14	µ)d3	µ)d3	PROPN
ejpam-5345	219	15	−	−	NOUN
ejpam-5345	220	1	[	[	X
ejpam-5345	220	2	2]2kq	2]2kq	NUM
ejpam-5345	220	3	ψ2(s)(1	ψ2(s)(1	NUM
ejpam-5345	220	4	+	+	NOUN
ejpam-5345	220	5	γ)(q	γ)(q	ADP
ejpam-5345	220	6	−	−	X
ejpam-5345	220	7	γ	γ	X
ejpam-5345	220	8	+	+	X
ejpam-5345	220	9	[	[	X
ejpam-5345	220	10	2]q	2]q	NUM
ejpam-5345	220	11	µ)d2	µ)d2	PROPN
ejpam-5345	220	12	}	}	PUNCT
ejpam-5345	220	13	=	=	SYM
ejpam-5345	220	14	υ2(y)m	υ2(y)m	PROPN
ejpam-5345	220	15	2	2	NUM
ejpam-5345	220	16	+	+	PROPN
ejpam-5345	220	17	υ3(y)m	υ3(y)m	NOUN
ejpam-5345	220	18	2	2	NUM
ejpam-5345	220	19	1	1	NUM
ejpam-5345	220	20	,	,	PUNCT
ejpam-5345	220	21	(	(	PUNCT
ejpam-5345	220	22	16	16	NUM
ejpam-5345	220	23	)	)	PUNCT
ejpam-5345	220	24	−	−	PROPN
ejpam-5345	221	1	[	[	X
ejpam-5345	221	2	2]kq	2]kq	NUM
ejpam-5345	221	3	ψ(s)(q	ψ(s)(q	NOUN
ejpam-5345	221	4	−	−	PROPN
ejpam-5345	221	5	γ	γ	X
ejpam-5345	221	6	+	+	X
ejpam-5345	222	1	[	[	X
ejpam-5345	222	2	2]q	2]q	NUM
ejpam-5345	222	3	µ)d2	µ)d2	PROPN
ejpam-5345	222	4	=	=	X
ejpam-5345	222	5	υ2(y)n1	υ2(y)n1	X
ejpam-5345	222	6	(	(	PUNCT
ejpam-5345	222	7	17	17	NUM
ejpam-5345	222	8	)	)	PUNCT
ejpam-5345	222	9	and	and	CCONJ
ejpam-5345	222	10	−	−	X
ejpam-5345	223	1	[	[	X
ejpam-5345	223	2	2]q	2]q	NUM
ejpam-5345	223	3	[	[	X
ejpam-5345	223	4	3	3	NUM
ejpam-5345	223	5	]	]	X
ejpam-5345	223	6	k	k	X
ejpam-5345	223	7	q	q	PUNCT
ejpam-5345	223	8	ψ(s))(q	ψ(s))(q	ADJ
ejpam-5345	223	9	−	−	NOUN
ejpam-5345	223	10	γ	γ	X
ejpam-5345	223	11	+	+	X
ejpam-5345	223	12	[	[	X
ejpam-5345	223	13	3]q	3]q	NUM
ejpam-5345	223	14	µ)d3	µ)d3	NOUN
ejpam-5345	223	15	+	+	CCONJ
ejpam-5345	223	16	{	{	PUNCT
ejpam-5345	223	17	2	2	NUM
ejpam-5345	224	1	[	[	X
ejpam-5345	224	2	2]q	2]q	NUM
ejpam-5345	224	3	[	[	X
ejpam-5345	224	4	3	3	NUM
ejpam-5345	224	5	]	]	X
ejpam-5345	224	6	k	k	X
ejpam-5345	224	7	q	q	X
ejpam-5345	225	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	225	2	−	−	NOUN
ejpam-5345	225	3	γ	γ	X
ejpam-5345	225	4	+	+	X
ejpam-5345	225	5	[	[	X
ejpam-5345	225	6	3]q	3]q	NUM
ejpam-5345	225	7	µ	µ	NOUN
ejpam-5345	225	8	)	)	PUNCT
ejpam-5345	225	9	−	−	NOUN
ejpam-5345	226	1	[	[	X
ejpam-5345	226	2	2]2kq	2]2kq	NUM
ejpam-5345	226	3	ψ2(s)(1	ψ2(s)(1	NUM
ejpam-5345	226	4	+	+	NOUN
ejpam-5345	226	5	γ)(q	γ)(q	ADP
ejpam-5345	226	6	−	−	X
ejpam-5345	226	7	γ	γ	X
ejpam-5345	226	8	+	+	X
ejpam-5345	227	1	[	[	X
ejpam-5345	227	2	2]q	2]q	NUM
ejpam-5345	227	3	µ	µ	NUM
ejpam-5345	227	4	)	)	PUNCT
ejpam-5345	227	5	}	}	PUNCT
ejpam-5345	227	6	d22	d22	PROPN
ejpam-5345	227	7	n.	n.	PROPN
ejpam-5345	227	8	k.	k.	PROPN
ejpam-5345	227	9	mishra	mishra	PROPN
ejpam-5345	227	10	,	,	PUNCT
ejpam-5345	227	11	m.	m.	PROPN
ejpam-5345	227	12	f.	f.	PROPN
ejpam-5345	227	13	khan	khan	PROPN
ejpam-5345	227	14	,	,	PUNCT
ejpam-5345	227	15	s.	s.	PROPN
ejpam-5345	227	16	a.	a.	PROPN
ejpam-5345	227	17	lone	lone	PROPN
ejpam-5345	227	18	/	/	SYM
ejpam-5345	227	19	eur	eur	PROPN
ejpam-5345	227	20	.	.	PUNCT
ejpam-5345	228	1	j.	j.	PROPN
ejpam-5345	228	2	pure	pure	PROPN
ejpam-5345	228	3	appl	appl	PROPN
ejpam-5345	228	4	.	.	PROPN
ejpam-5345	228	5	math	math	PROPN
ejpam-5345	228	6	,	,	PUNCT
ejpam-5345	228	7	17	17	NUM
ejpam-5345	228	8	(	(	PUNCT
ejpam-5345	228	9	4	4	NUM
ejpam-5345	228	10	)	)	PUNCT
ejpam-5345	228	11	(	(	PUNCT
ejpam-5345	228	12	2024	2024	NUM
ejpam-5345	228	13	)	)	PUNCT
ejpam-5345	228	14	,	,	PUNCT
ejpam-5345	228	15	2516	2516	NUM
ejpam-5345	228	16	-	-	SYM
ejpam-5345	228	17	2537	2537	NUM
ejpam-5345	228	18	2525	2525	NUM
ejpam-5345	228	19	=	=	SYM
ejpam-5345	228	20	υ2(y)n2	υ2(y)n2	X
ejpam-5345	229	1	+	+	PRON
ejpam-5345	229	2	υ3(y)n	υ3(y)n	ADJ
ejpam-5345	229	3	2	2	NUM
ejpam-5345	229	4	1	1	NUM
ejpam-5345	229	5	.	.	PUNCT
ejpam-5345	229	6	(	(	PUNCT
ejpam-5345	229	7	18	18	NUM
ejpam-5345	229	8	)	)	PUNCT
ejpam-5345	229	9	from	from	ADP
ejpam-5345	229	10	(	(	PUNCT
ejpam-5345	229	11	15	15	NUM
ejpam-5345	229	12	)	)	PUNCT
ejpam-5345	229	13	and	and	CCONJ
ejpam-5345	229	14	(	(	PUNCT
ejpam-5345	229	15	17	17	NUM
ejpam-5345	229	16	)	)	PUNCT
ejpam-5345	229	17	,	,	PUNCT
ejpam-5345	229	18	we	we	PRON
ejpam-5345	229	19	can	can	AUX
ejpam-5345	229	20	see	see	VERB
ejpam-5345	229	21	that	that	DET
ejpam-5345	229	22	m1	m1	NOUN
ejpam-5345	229	23	=	=	PUNCT
ejpam-5345	229	24	−n1	−n1	NOUN
ejpam-5345	229	25	(	(	PUNCT
ejpam-5345	229	26	19	19	NUM
ejpam-5345	229	27	)	)	PUNCT
ejpam-5345	229	28	and	and	CCONJ
ejpam-5345	229	29	also	also	ADV
ejpam-5345	229	30	2	2	NUM
ejpam-5345	229	31	[	[	X
ejpam-5345	229	32	2]2kq	2]2kq	NUM
ejpam-5345	229	33	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	229	34	−	−	PROPN
ejpam-5345	229	35	γ	γ	X
ejpam-5345	229	36	+	+	X
ejpam-5345	230	1	[	[	X
ejpam-5345	230	2	2]q	2]q	NUM
ejpam-5345	230	3	µ	µ	NUM
ejpam-5345	230	4	)	)	PUNCT
ejpam-5345	230	5	2d2	2d2	NUM
ejpam-5345	230	6	=	=	SYM
ejpam-5345	230	7	(	(	PUNCT
ejpam-5345	230	8	m2	m2	PROPN
ejpam-5345	230	9	1	1	PROPN
ejpam-5345	230	10	+	+	CCONJ
ejpam-5345	230	11	n21	n21	PROPN
ejpam-5345	230	12	)	)	PUNCT
ejpam-5345	230	13	(	(	PUNCT
ejpam-5345	230	14	υ2	υ2	PROPN
ejpam-5345	230	15	(	(	PUNCT
ejpam-5345	230	16	y	y	NOUN
ejpam-5345	230	17	)	)	PUNCT
ejpam-5345	230	18	)	)	PUNCT
ejpam-5345	230	19	2	2	NUM
ejpam-5345	230	20	.	.	PUNCT
ejpam-5345	231	1	(	(	PUNCT
ejpam-5345	231	2	20	20	NUM
ejpam-5345	231	3	)	)	PUNCT
ejpam-5345	231	4	adding	add	VERB
ejpam-5345	231	5	(	(	PUNCT
ejpam-5345	231	6	16	16	NUM
ejpam-5345	231	7	)	)	PUNCT
ejpam-5345	231	8	and	and	CCONJ
ejpam-5345	231	9	(	(	PUNCT
ejpam-5345	231	10	18	18	NUM
ejpam-5345	231	11	)	)	PUNCT
ejpam-5345	231	12	,	,	PUNCT
ejpam-5345	231	13	then	then	ADV
ejpam-5345	231	14	we	we	PRON
ejpam-5345	231	15	obtain	obtain	VERB
ejpam-5345	231	16	{	{	PUNCT
ejpam-5345	231	17	2	2	NUM
ejpam-5345	231	18	[	[	X
ejpam-5345	231	19	2]q	2]q	NUM
ejpam-5345	231	20	[	[	X
ejpam-5345	231	21	3	3	NUM
ejpam-5345	231	22	]	]	X
ejpam-5345	231	23	k	k	X
ejpam-5345	231	24	q	q	X
ejpam-5345	232	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	232	2	−	−	NOUN
ejpam-5345	232	3	γ	γ	X
ejpam-5345	232	4	+	+	X
ejpam-5345	232	5	[	[	X
ejpam-5345	232	6	3]q	3]q	NUM
ejpam-5345	232	7	µ	µ	NOUN
ejpam-5345	232	8	)	)	PUNCT
ejpam-5345	232	9	−	−	NOUN
ejpam-5345	233	1	[	[	X
ejpam-5345	233	2	2]2kq	2]2kq	NUM
ejpam-5345	233	3	ψ2(s)(1	ψ2(s)(1	NUM
ejpam-5345	233	4	+	+	NOUN
ejpam-5345	233	5	γ)(q	γ)(q	ADP
ejpam-5345	233	6	−	−	X
ejpam-5345	233	7	γ	γ	X
ejpam-5345	233	8	+	+	X
ejpam-5345	233	9	[	[	X
ejpam-5345	233	10	2]q	2]q	NUM
ejpam-5345	233	11	µ	µ	NUM
ejpam-5345	233	12	)	)	PUNCT
ejpam-5345	233	13	}	}	PUNCT
ejpam-5345	233	14	d22	d22	NOUN
ejpam-5345	233	15	=	=	SYM
ejpam-5345	233	16	υ2(y)(m2	υ2(y)(m2	PROPN
ejpam-5345	233	17	+	+	CCONJ
ejpam-5345	233	18	n2	n2	ADJ
ejpam-5345	233	19	)	)	PUNCT
ejpam-5345	233	20	+	+	CCONJ
ejpam-5345	233	21	υ3(y)(m	υ3(y)(m	NUM
ejpam-5345	233	22	2	2	NUM
ejpam-5345	233	23	1	1	NUM
ejpam-5345	233	24	+	+	SYM
ejpam-5345	233	25	n21	n21	PROPN
ejpam-5345	233	26	)	)	PUNCT
ejpam-5345	233	27	.	.	PUNCT
ejpam-5345	234	1	(	(	PUNCT
ejpam-5345	234	2	21	21	X
ejpam-5345	234	3	)	)	PUNCT
ejpam-5345	234	4	putting	put	VERB
ejpam-5345	234	5	the	the	DET
ejpam-5345	234	6	value	value	NOUN
ejpam-5345	234	7	of	of	ADP
ejpam-5345	234	8	m2	m2	PROPN
ejpam-5345	234	9	1	1	PROPN
ejpam-5345	234	10	+	+	SYM
ejpam-5345	234	11	n21	n21	PROPN
ejpam-5345	234	12	from	from	ADP
ejpam-5345	234	13	(	(	PUNCT
ejpam-5345	234	14	20	20	NUM
ejpam-5345	234	15	)	)	PUNCT
ejpam-5345	234	16	in	in	ADP
ejpam-5345	234	17	(	(	PUNCT
ejpam-5345	234	18	21	21	NUM
ejpam-5345	234	19	)	)	PUNCT
ejpam-5345	234	20	,	,	PUNCT
ejpam-5345	234	21	we	we	PRON
ejpam-5345	234	22	get	get	VERB
ejpam-5345	234	23	d22	d22	NOUN
ejpam-5345	234	24	=	=	SYM
ejpam-5345	234	25	(	(	PUNCT
ejpam-5345	234	26	υ2(y	υ2(y	PROPN
ejpam-5345	234	27	)	)	PUNCT
ejpam-5345	234	28	)	)	PUNCT
ejpam-5345	234	29	3(m2	3(m2	NUM
ejpam-5345	235	1	+	+	CCONJ
ejpam-5345	235	2	n2	n2	ADJ
ejpam-5345	235	3	)	)	PUNCT
ejpam-5345	235	4	2	2	NUM
ejpam-5345	235	5	{	{	PUNCT
ejpam-5345	235	6	(	(	PUNCT
ejpam-5345	235	7	υ2	υ2	PROPN
ejpam-5345	235	8	(	(	PUNCT
ejpam-5345	235	9	y	y	NOUN
ejpam-5345	235	10	)	)	PUNCT
ejpam-5345	235	11	)	)	PUNCT
ejpam-5345	235	12	2	2	NUM
ejpam-5345	236	1	[	[	X
ejpam-5345	236	2	2]q	2]q	NUM
ejpam-5345	236	3	[	[	X
ejpam-5345	236	4	3	3	NUM
ejpam-5345	236	5	]	]	X
ejpam-5345	236	6	k	k	X
ejpam-5345	236	7	q	q	X
ejpam-5345	237	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	237	2	−	−	NOUN
ejpam-5345	237	3	γ	γ	X
ejpam-5345	237	4	+	+	X
ejpam-5345	238	1	[	[	X
ejpam-5345	238	2	3]q	3]q	NUM
ejpam-5345	238	3	µ)−q	µ)−q	PUNCT
ejpam-5345	238	4	(	(	PUNCT
ejpam-5345	238	5	υ	υ	PROPN
ejpam-5345	238	6	(	(	PUNCT
ejpam-5345	238	7	y	y	NOUN
ejpam-5345	238	8	)	)	PUNCT
ejpam-5345	238	9	,	,	PUNCT
ejpam-5345	238	10	γ	γ	X
ejpam-5345	238	11	,	,	PUNCT
ejpam-5345	238	12	q	q	NOUN
ejpam-5345	238	13	,	,	PUNCT
ejpam-5345	238	14	µ	µ	NOUN
ejpam-5345	238	15	)	)	PUNCT
ejpam-5345	238	16	}	}	PUNCT
ejpam-5345	238	17	,	,	PUNCT
ejpam-5345	238	18	(	(	PUNCT
ejpam-5345	238	19	22	22	NUM
ejpam-5345	238	20	)	)	PUNCT
ejpam-5345	238	21	where	where	SCONJ
ejpam-5345	238	22	q	q	NOUN
ejpam-5345	238	23	(	(	PUNCT
ejpam-5345	238	24	υ	υ	PROPN
ejpam-5345	238	25	(	(	PUNCT
ejpam-5345	238	26	y	y	NOUN
ejpam-5345	238	27	)	)	PUNCT
ejpam-5345	238	28	,	,	PUNCT
ejpam-5345	238	29	γ	γ	X
ejpam-5345	238	30	,	,	PUNCT
ejpam-5345	238	31	q	q	NOUN
ejpam-5345	238	32	,	,	PUNCT
ejpam-5345	238	33	µ	µ	NOUN
ejpam-5345	238	34	)	)	PUNCT
ejpam-5345	238	35	=	=	PUNCT
ejpam-5345	239	1	[	[	X
ejpam-5345	239	2	2]2kq	2]2kq	NUM
ejpam-5345	239	3	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	239	4	−	−	PROPN
ejpam-5345	239	5	γ	γ	X
ejpam-5345	239	6	+	+	X
ejpam-5345	240	1	[	[	X
ejpam-5345	240	2	2]q	2]q	NUM
ejpam-5345	240	3	µ	µ	NOUN
ejpam-5345	240	4	)	)	PUNCT
ejpam-5345	240	5	{	{	PUNCT
ejpam-5345	240	6	(	(	PUNCT
ejpam-5345	240	7	υ2	υ2	PROPN
ejpam-5345	240	8	(	(	PUNCT
ejpam-5345	240	9	y	y	NOUN
ejpam-5345	240	10	)	)	PUNCT
ejpam-5345	240	11	)	)	PUNCT
ejpam-5345	240	12	2	2	NUM
ejpam-5345	240	13	(	(	PUNCT
ejpam-5345	240	14	1	1	NUM
ejpam-5345	240	15	+	+	CCONJ
ejpam-5345	240	16	γ	γ	X
ejpam-5345	240	17	)	)	PUNCT
ejpam-5345	240	18	+	+	NOUN
ejpam-5345	240	19	υ3(y)(q	υ3(y)(q	PROPN
ejpam-5345	240	20	−	−	X
ejpam-5345	240	21	γ	γ	X
ejpam-5345	240	22	+	+	X
ejpam-5345	241	1	[	[	X
ejpam-5345	241	2	2]q	2]q	NUM
ejpam-5345	241	3	}	}	SYM
ejpam-5345	241	4	µ	µ	NOUN
ejpam-5345	241	5	)	)	PUNCT
ejpam-5345	241	6	,	,	PUNCT
ejpam-5345	241	7	which	which	PRON
ejpam-5345	241	8	yields	yield	VERB
ejpam-5345	241	9	(	(	PUNCT
ejpam-5345	241	10	7	7	NUM
ejpam-5345	241	11	)	)	PUNCT
ejpam-5345	241	12	on	on	ADP
ejpam-5345	241	13	using	use	VERB
ejpam-5345	241	14	(	(	PUNCT
ejpam-5345	241	15	14	14	NUM
ejpam-5345	241	16	)	)	PUNCT
ejpam-5345	241	17	.	.	PUNCT
ejpam-5345	242	1	using	use	VERB
ejpam-5345	242	2	(	(	PUNCT
ejpam-5345	242	3	19	19	NUM
ejpam-5345	242	4	)	)	PUNCT
ejpam-5345	242	5	in	in	ADP
ejpam-5345	242	6	the	the	DET
ejpam-5345	242	7	subtraction	subtraction	NOUN
ejpam-5345	242	8	of	of	ADP
ejpam-5345	242	9	(	(	PUNCT
ejpam-5345	242	10	18	18	NUM
ejpam-5345	242	11	)	)	PUNCT
ejpam-5345	242	12	from	from	ADP
ejpam-5345	242	13	(	(	PUNCT
ejpam-5345	242	14	16	16	NUM
ejpam-5345	242	15	)	)	PUNCT
ejpam-5345	242	16	,	,	PUNCT
ejpam-5345	242	17	we	we	PRON
ejpam-5345	242	18	obtain	obtain	VERB
ejpam-5345	242	19	d3	d3	PROPN
ejpam-5345	242	20	=	=	SYM
ejpam-5345	242	21	d22	d22	PROPN
ejpam-5345	242	22	+	+	CCONJ
ejpam-5345	242	23	υ2(y)(m2	υ2(y)(m2	PROPN
ejpam-5345	242	24	−	−	PROPN
ejpam-5345	242	25	n1	n1	NOUN
ejpam-5345	242	26	)	)	PUNCT
ejpam-5345	242	27	2	2	NUM
ejpam-5345	243	1	[	[	X
ejpam-5345	243	2	2]q	2]q	NUM
ejpam-5345	243	3	[	[	X
ejpam-5345	243	4	3	3	NUM
ejpam-5345	243	5	]	]	X
ejpam-5345	243	6	k	k	X
ejpam-5345	243	7	q	q	X
ejpam-5345	244	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	244	2	−	−	NOUN
ejpam-5345	244	3	γ	γ	X
ejpam-5345	244	4	+	+	X
ejpam-5345	244	5	[	[	X
ejpam-5345	244	6	3]q	3]q	NUM
ejpam-5345	244	7	µ	µ	NOUN
ejpam-5345	244	8	)	)	PUNCT
ejpam-5345	244	9	.	.	PUNCT
ejpam-5345	245	1	(	(	PUNCT
ejpam-5345	245	2	23	23	NUM
ejpam-5345	245	3	)	)	PUNCT
ejpam-5345	245	4	then	then	ADV
ejpam-5345	245	5	in	in	ADP
ejpam-5345	245	6	view	view	NOUN
ejpam-5345	245	7	of	of	ADP
ejpam-5345	245	8	(	(	PUNCT
ejpam-5345	245	9	20	20	NUM
ejpam-5345	245	10	)	)	PUNCT
ejpam-5345	245	11	,	,	PUNCT
ejpam-5345	245	12	and	and	CCONJ
ejpam-5345	245	13	(	(	PUNCT
ejpam-5345	245	14	23	23	NUM
ejpam-5345	245	15	)	)	PUNCT
ejpam-5345	245	16	,	,	PUNCT
ejpam-5345	245	17	we	we	PRON
ejpam-5345	245	18	get	get	VERB
ejpam-5345	245	19	d3	d3	PROPN
ejpam-5345	245	20	=	=	SYM
ejpam-5345	245	21	(	(	PUNCT
ejpam-5345	245	22	υ2(y	υ2(y	PROPN
ejpam-5345	245	23	)	)	PUNCT
ejpam-5345	245	24	)	)	PUNCT
ejpam-5345	246	1	2(m2	2(m2	NUM
ejpam-5345	246	2	1	1	NUM
ejpam-5345	246	3	+	+	SYM
ejpam-5345	246	4	n21	n21	PROPN
ejpam-5345	246	5	)	)	PUNCT
ejpam-5345	246	6	2	2	NUM
ejpam-5345	247	1	[	[	X
ejpam-5345	247	2	2]2kq	2]2kq	NUM
ejpam-5345	247	3	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	247	4	−	−	PROPN
ejpam-5345	247	5	γ	γ	X
ejpam-5345	247	6	+	+	X
ejpam-5345	248	1	[	[	X
ejpam-5345	248	2	2]q	2]q	NUM
ejpam-5345	248	3	µ	µ	NUM
ejpam-5345	248	4	)	)	PUNCT
ejpam-5345	248	5	2	2	NUM
ejpam-5345	248	6	+	+	CCONJ
ejpam-5345	248	7	υ2(y)(m2	υ2(y)(m2	NOUN
ejpam-5345	248	8	−	−	PROPN
ejpam-5345	248	9	n2	n2	NOUN
ejpam-5345	248	10	)	)	PUNCT
ejpam-5345	248	11	2	2	NUM
ejpam-5345	249	1	[	[	X
ejpam-5345	249	2	2]q	2]q	NUM
ejpam-5345	249	3	[	[	X
ejpam-5345	249	4	3	3	NUM
ejpam-5345	249	5	]	]	X
ejpam-5345	249	6	k	k	X
ejpam-5345	249	7	q	q	X
ejpam-5345	250	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	250	2	−	−	NOUN
ejpam-5345	250	3	γ	γ	X
ejpam-5345	250	4	+	+	X
ejpam-5345	250	5	[	[	X
ejpam-5345	250	6	3]q	3]q	NUM
ejpam-5345	250	7	µ	µ	NOUN
ejpam-5345	250	8	)	)	PUNCT
ejpam-5345	250	9	,	,	PUNCT
ejpam-5345	250	10	which	which	DET
ejpam-5345	250	11	yields	yield	VERB
ejpam-5345	250	12	(	(	PUNCT
ejpam-5345	250	13	8)	8)	NUM
ejpam-5345	250	14	on	on	ADP
ejpam-5345	250	15	using	use	VERB
ejpam-5345	250	16	(	(	PUNCT
ejpam-5345	250	17	14	14	NUM
ejpam-5345	250	18	)	)	PUNCT
ejpam-5345	250	19	.	.	PUNCT
ejpam-5345	251	1	from	from	ADP
ejpam-5345	251	2	(	(	PUNCT
ejpam-5345	251	3	22	22	NUM
ejpam-5345	251	4	)	)	PUNCT
ejpam-5345	251	5	and	and	CCONJ
ejpam-5345	251	6	(	(	PUNCT
ejpam-5345	251	7	23	23	NUM
ejpam-5345	251	8	)	)	PUNCT
ejpam-5345	251	9	,	,	PUNCT
ejpam-5345	251	10	for	for	ADP
ejpam-5345	251	11	δ	δ	PROPN
ejpam-5345	251	12	∈	∈	PROPN
ejpam-5345	251	13	r	r	NOUN
ejpam-5345	251	14	,	,	PUNCT
ejpam-5345	251	15	we	we	PRON
ejpam-5345	251	16	get	get	VERB
ejpam-5345	251	17	∣∣d3	∣∣d3	NOUN
ejpam-5345	251	18	−	−	ADP
ejpam-5345	251	19	δd22	δd22	PROPN
ejpam-5345	251	20	∣∣	∣∣	X
ejpam-5345	251	21	=	=	SYM
ejpam-5345	251	22	|υ2(y)|	|υ2(y)|	PROPN
ejpam-5345	252	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5345	252	2	(	(	PUNCT
ejpam-5345	252	3	t	t	PROPN
ejpam-5345	252	4	(	(	PUNCT
ejpam-5345	252	5	δ	δ	PROPN
ejpam-5345	252	6	,	,	PUNCT
ejpam-5345	252	7	q	q	NOUN
ejpam-5345	252	8	,	,	PUNCT
ejpam-5345	252	9	y	y	PROPN
ejpam-5345	252	10	)	)	PUNCT
ejpam-5345	252	11	+	+	CCONJ
ejpam-5345	252	12	1	1	NUM
ejpam-5345	252	13	2	2	NUM
ejpam-5345	253	1	[	[	X
ejpam-5345	253	2	2]q	2]q	NUM
ejpam-5345	253	3	[	[	X
ejpam-5345	253	4	3	3	NUM
ejpam-5345	253	5	]	]	X
ejpam-5345	253	6	k	k	X
ejpam-5345	253	7	q	q	X
ejpam-5345	254	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	254	2	−	−	NOUN
ejpam-5345	254	3	γ	γ	X
ejpam-5345	254	4	+	+	X
ejpam-5345	254	5	[	[	X
ejpam-5345	254	6	3]q	3]q	NUM
ejpam-5345	254	7	µ	µ	NOUN
ejpam-5345	254	8	)	)	PUNCT
ejpam-5345	254	9	)	)	PUNCT
ejpam-5345	255	1	m2	m2	PROPN
ejpam-5345	255	2	+	+	PROPN
ejpam-5345	255	3	(	(	PUNCT
ejpam-5345	255	4	t	t	PROPN
ejpam-5345	255	5	(	(	PUNCT
ejpam-5345	255	6	δ	δ	PROPN
ejpam-5345	255	7	,	,	PUNCT
ejpam-5345	255	8	q	q	X
ejpam-5345	255	9	,	,	PUNCT
ejpam-5345	255	10	y)−	y)−	PROPN
ejpam-5345	255	11	1	1	NUM
ejpam-5345	255	12	2	2	NUM
ejpam-5345	256	1	[	[	X
ejpam-5345	256	2	2]q	2]q	NUM
ejpam-5345	256	3	[	[	X
ejpam-5345	256	4	3	3	NUM
ejpam-5345	256	5	]	]	X
ejpam-5345	256	6	k	k	X
ejpam-5345	256	7	q	q	X
ejpam-5345	257	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	257	2	−	−	NOUN
ejpam-5345	257	3	γ	γ	X
ejpam-5345	257	4	+	+	X
ejpam-5345	257	5	[	[	X
ejpam-5345	257	6	3]q	3]q	NUM
ejpam-5345	257	7	µ	µ	NOUN
ejpam-5345	257	8	)	)	PUNCT
ejpam-5345	257	9	)	)	PUNCT
ejpam-5345	257	10	n2	n2	NOUN
ejpam-5345	257	11	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5345	257	12	,	,	PUNCT
ejpam-5345	257	13	n.	n.	PROPN
ejpam-5345	257	14	k.	k.	PROPN
ejpam-5345	257	15	mishra	mishra	PROPN
ejpam-5345	257	16	,	,	PUNCT
ejpam-5345	257	17	m.	m.	PROPN
ejpam-5345	257	18	f.	f.	PROPN
ejpam-5345	257	19	khan	khan	PROPN
ejpam-5345	257	20	,	,	PUNCT
ejpam-5345	257	21	s.	s.	PROPN
ejpam-5345	257	22	a.	a.	PROPN
ejpam-5345	257	23	lone	lone	PROPN
ejpam-5345	257	24	/	/	SYM
ejpam-5345	257	25	eur	eur	PROPN
ejpam-5345	257	26	.	.	PUNCT
ejpam-5345	258	1	j.	j.	PROPN
ejpam-5345	258	2	pure	pure	PROPN
ejpam-5345	258	3	appl	appl	PROPN
ejpam-5345	258	4	.	.	PROPN
ejpam-5345	258	5	math	math	PROPN
ejpam-5345	258	6	,	,	PUNCT
ejpam-5345	258	7	17	17	NUM
ejpam-5345	258	8	(	(	PUNCT
ejpam-5345	258	9	4	4	NUM
ejpam-5345	258	10	)	)	PUNCT
ejpam-5345	258	11	(	(	PUNCT
ejpam-5345	258	12	2024	2024	NUM
ejpam-5345	258	13	)	)	PUNCT
ejpam-5345	258	14	,	,	PUNCT
ejpam-5345	258	15	2516	2516	NUM
ejpam-5345	258	16	-	-	SYM
ejpam-5345	258	17	2537	2537	NUM
ejpam-5345	258	18	2526	2526	NUM
ejpam-5345	258	19	where	where	SCONJ
ejpam-5345	258	20	t	t	PROPN
ejpam-5345	258	21	(	(	PUNCT
ejpam-5345	258	22	δ	δ	PROPN
ejpam-5345	258	23	,	,	PUNCT
ejpam-5345	258	24	q	q	NOUN
ejpam-5345	258	25	,	,	PUNCT
ejpam-5345	258	26	y	y	NOUN
ejpam-5345	258	27	)	)	PUNCT
ejpam-5345	258	28	=	=	PUNCT
ejpam-5345	258	29	(	(	PUNCT
ejpam-5345	258	30	1−	1−	NUM
ejpam-5345	258	31	δ	δ	PROPN
ejpam-5345	258	32	)	)	PUNCT
ejpam-5345	258	33	2	2	NUM
ejpam-5345	258	34	{	{	PUNCT
ejpam-5345	259	1	[	[	X
ejpam-5345	259	2	2]q	2]q	NUM
ejpam-5345	259	3	[	[	X
ejpam-5345	259	4	3	3	NUM
ejpam-5345	259	5	]	]	X
ejpam-5345	259	6	k	k	X
ejpam-5345	259	7	q	q	X
ejpam-5345	260	1	ψ(s)(q	ψ(s)(q	PUNCT
ejpam-5345	260	2	−	−	NOUN
ejpam-5345	260	3	γ	γ	X
ejpam-5345	260	4	+	+	X
ejpam-5345	261	1	[	[	X
ejpam-5345	261	2	3]q	3]q	NUM
ejpam-5345	261	3	µ)−	µ)−	NOUN
ejpam-5345	261	4	(	(	PUNCT
ejpam-5345	261	5	υ2	υ2	PROPN
ejpam-5345	261	6	(	(	PUNCT
ejpam-5345	261	7	y	y	NOUN
ejpam-5345	261	8	)	)	PUNCT
ejpam-5345	261	9	)	)	PUNCT
ejpam-5345	261	10	2q	2q	NOUN
ejpam-5345	261	11	(	(	PUNCT
ejpam-5345	261	12	υ	υ	NOUN
ejpam-5345	261	13	(	(	PUNCT
ejpam-5345	261	14	y	y	NOUN
ejpam-5345	261	15	)	)	PUNCT
ejpam-5345	261	16	,	,	PUNCT
ejpam-5345	261	17	γ	γ	X
ejpam-5345	261	18	,	,	PUNCT
ejpam-5345	261	19	q	q	NOUN
ejpam-5345	261	20	,	,	PUNCT
ejpam-5345	261	21	µ	µ	NOUN
ejpam-5345	261	22	)	)	PUNCT
ejpam-5345	261	23	}	}	PUNCT
ejpam-5345	261	24	.	.	PUNCT
ejpam-5345	262	1	in	in	ADP
ejpam-5345	262	2	view	view	NOUN
ejpam-5345	262	3	of	of	ADP
ejpam-5345	262	4	(	(	PUNCT
ejpam-5345	262	5	5	5	NUM
ejpam-5345	262	6	)	)	PUNCT
ejpam-5345	262	7	,	,	PUNCT
ejpam-5345	262	8	we	we	PRON
ejpam-5345	262	9	conclude	conclude	VERB
ejpam-5345	262	10	that	that	PRON
ejpam-5345	262	11	∣∣d3	∣∣d3	VERB
ejpam-5345	262	12	−	−	PROPN
ejpam-5345	262	13	δd22	δd22	PROPN
ejpam-5345	262	14	∣∣	∣∣	NUM
ejpam-5345	262	15	≤	≤	NUM
ejpam-5345	262	16			PUNCT
ejpam-5345	262	17	|υ2(y)|	|υ2(y)|	PROPN
ejpam-5345	263	1	[	[	X
ejpam-5345	263	2	2]q	2]q	NUM
ejpam-5345	263	3	[	[	X
ejpam-5345	263	4	3	3	NUM
ejpam-5345	263	5	]	]	X
ejpam-5345	263	6	k	k	PROPN
ejpam-5345	263	7	qψ(s)(q−γ+[3]qµ	qψ(s)(q−γ+[3]qµ	PROPN
ejpam-5345	263	8	)	)	PUNCT
ejpam-5345	263	9	;	;	PUNCT
ejpam-5345	263	10	0	0	NUM
ejpam-5345	263	11	≤	≤	NUM
ejpam-5345	263	12	|t	|t	VERB
ejpam-5345	263	13	(	(	PUNCT
ejpam-5345	263	14	δ	δ	PROPN
ejpam-5345	263	15	,	,	PUNCT
ejpam-5345	263	16	q	q	X
ejpam-5345	263	17	,	,	PUNCT
ejpam-5345	263	18	y)|	y)|	PROPN
ejpam-5345	263	19	≤	≤	ADV
ejpam-5345	263	20	1	1	NUM
ejpam-5345	263	21	2[2]q	2[2]q	NUM
ejpam-5345	263	22	[	[	X
ejpam-5345	263	23	3	3	NUM
ejpam-5345	263	24	]	]	X
ejpam-5345	263	25	k	k	PROPN
ejpam-5345	263	26	qψ(s)(q−γ+[3]qµ	qψ(s)(q−γ+[3]qµ	PROPN
ejpam-5345	263	27	)	)	PUNCT
ejpam-5345	263	28	,	,	PUNCT
ejpam-5345	263	29	2	2	X
ejpam-5345	263	30	|υ2(y)|	|υ2(y)|	NUM
ejpam-5345	263	31	|t	|t	PROPN
ejpam-5345	263	32	(	(	PUNCT
ejpam-5345	263	33	δ	δ	PROPN
ejpam-5345	263	34	,	,	PUNCT
ejpam-5345	263	35	q	q	X
ejpam-5345	263	36	,	,	PUNCT
ejpam-5345	263	37	y)|	y)|	INTJ
ejpam-5345	263	38	;	;	PUNCT
ejpam-5345	263	39	|t	|t	PROPN
ejpam-5345	263	40	(	(	PUNCT
ejpam-5345	263	41	δ	δ	PROPN
ejpam-5345	263	42	,	,	PUNCT
ejpam-5345	263	43	q	q	X
ejpam-5345	263	44	,	,	PUNCT
ejpam-5345	263	45	y)|	y)|	PRON
ejpam-5345	263	46	≥	≥	AUX
ejpam-5345	263	47	1	1	NUM
ejpam-5345	263	48	2[2]q	2[2]q	NUM
ejpam-5345	263	49	[	[	X
ejpam-5345	263	50	3	3	NUM
ejpam-5345	263	51	]	]	X
ejpam-5345	263	52	k	k	PROPN
ejpam-5345	263	53	qψ(s)(q−γ+[3]qµ	qψ(s)(q−γ+[3]qµ	PROPN
ejpam-5345	263	54	)	)	PUNCT
ejpam-5345	263	55	,	,	PUNCT
ejpam-5345	263	56	which	which	PRON
ejpam-5345	263	57	yields	yield	VERB
ejpam-5345	263	58	(	(	PUNCT
ejpam-5345	263	59	9	9	NUM
ejpam-5345	263	60	)	)	PUNCT
ejpam-5345	263	61	.	.	PUNCT
ejpam-5345	264	1	evidently	evidently	ADV
ejpam-5345	264	2	,	,	PUNCT
ejpam-5345	264	3	this	this	PRON
ejpam-5345	264	4	concludes	conclude	VERB
ejpam-5345	264	5	theorem	theorem	ADJ
ejpam-5345	264	6	1	1	NUM
ejpam-5345	264	7	.	.	NOUN
ejpam-5345	264	8	remark	remark	NOUN
ejpam-5345	264	9	7	7	NUM
ejpam-5345	264	10	.	.	PROPN
ejpam-5345	264	11	for	for	ADP
ejpam-5345	264	12	µ	µ	NOUN
ejpam-5345	264	13	=	=	SYM
ejpam-5345	264	14	0	0	NUM
ejpam-5345	264	15	,	,	PUNCT
ejpam-5345	264	16	γ	γ	NOUN
ejpam-5345	264	17	=	=	SYM
ejpam-5345	264	18	0	0	PROPN
ejpam-5345	264	19	,	,	PUNCT
ejpam-5345	264	20	k	k	X
ejpam-5345	264	21	=	=	PUNCT
ejpam-5345	264	22	0	0	PROPN
ejpam-5345	264	23	and	and	CCONJ
ejpam-5345	264	24	ψ(s	ψ(s	NUM
ejpam-5345	264	25	)	)	PUNCT
ejpam-5345	265	1	=	=	SYM
ejpam-5345	265	2	1	1	NUM
ejpam-5345	265	3	,	,	PUNCT
ejpam-5345	265	4	in	in	ADP
ejpam-5345	265	5	theorem	theorem	NOUN
ejpam-5345	265	6	1	1	NUM
ejpam-5345	265	7	we	we	PRON
ejpam-5345	265	8	obtain	obtain	VERB
ejpam-5345	265	9	corollary	corollary	ADJ
ejpam-5345	265	10	1	1	NUM
ejpam-5345	265	11	and	and	CCONJ
ejpam-5345	265	12	corollary	corollary	ADJ
ejpam-5345	265	13	3	3	NUM
ejpam-5345	265	14	proved	prove	VERB
ejpam-5345	265	15	in	in	ADP
ejpam-5345	265	16	[	[	X
ejpam-5345	265	17	26	26	NUM
ejpam-5345	265	18	]	]	PUNCT
ejpam-5345	265	19	.	.	PUNCT
ejpam-5345	266	1	2.1.1	2.1.1	X
ejpam-5345	266	2	.	.	PUNCT
ejpam-5345	266	3	coefficient	coefficient	NOUN
ejpam-5345	266	4	estimates	estimate	NOUN
ejpam-5345	266	5	and	and	CCONJ
ejpam-5345	266	6	fekete	fekete	PROPN
ejpam-5345	266	7	-	-	PUNCT
ejpam-5345	266	8	szegö	szegö	ADJ
ejpam-5345	266	9	problem	problem	NOUN
ejpam-5345	266	10	for	for	ADP
ejpam-5345	266	11	the	the	DET
ejpam-5345	266	12	class	class	NOUN
ejpam-5345	266	13	lς(y	lς(y	PROPN
ejpam-5345	266	14	,	,	PUNCT
ejpam-5345	266	15	γ	γ	PROPN
ejpam-5345	266	16	,	,	PUNCT
ejpam-5345	266	17	µ	µ	NOUN
ejpam-5345	266	18	,	,	PUNCT
ejpam-5345	266	19	k	k	NOUN
ejpam-5345	266	20	,	,	PUNCT
ejpam-5345	266	21	q	q	INTJ
ejpam-5345	266	22	,	,	PUNCT
ejpam-5345	266	23	ψ(s	ψ(s	PROPN
ejpam-5345	266	24	)	)	PUNCT
ejpam-5345	266	25	)	)	PUNCT
ejpam-5345	266	26	theorem	theorem	VERB
ejpam-5345	266	27	2	2	NUM
ejpam-5345	266	28	.	.	PUNCT
ejpam-5345	266	29	let	let	VERB
ejpam-5345	266	30	g(z	g(z	ADJ
ejpam-5345	266	31	)	)	PUNCT
ejpam-5345	266	32	of	of	ADP
ejpam-5345	266	33	the	the	DET
ejpam-5345	266	34	form	form	NOUN
ejpam-5345	266	35	(	(	PUNCT
ejpam-5345	266	36	1	1	X
ejpam-5345	266	37	)	)	PUNCT
ejpam-5345	266	38	belong	belong	VERB
ejpam-5345	266	39	to	to	ADP
ejpam-5345	266	40	lς(y	lς(y	PROPN
ejpam-5345	266	41	,	,	PUNCT
ejpam-5345	266	42	γ	γ	PROPN
ejpam-5345	266	43	,	,	PUNCT
ejpam-5345	266	44	µ	µ	NOUN
ejpam-5345	266	45	,	,	PUNCT
ejpam-5345	266	46	k	k	NOUN
ejpam-5345	266	47	,	,	PUNCT
ejpam-5345	266	48	q	q	INTJ
ejpam-5345	266	49	,	,	PUNCT
ejpam-5345	266	50	ψ(s	ψ(s	PROPN
ejpam-5345	266	51	)	)	PUNCT
ejpam-5345	266	52	)	)	PUNCT
ejpam-5345	266	53	.	.	PUNCT
ejpam-5345	267	1	then	then	ADV
ejpam-5345	267	2	|d2|	|d2|	VERB
ejpam-5345	267	3	≤	≤	ADJ
ejpam-5345	267	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	267	5	√	√	NUM
ejpam-5345	267	6	|b(y)|√∣∣∣(υ2	|b(y)|√∣∣∣(υ2	PROPN
ejpam-5345	267	7	(	(	PUNCT
ejpam-5345	267	8	y	y	NOUN
ejpam-5345	267	9	)	)	PUNCT
ejpam-5345	267	10	)	)	PUNCT
ejpam-5345	267	11	2	2	NUM
ejpam-5345	268	1	[	[	X
ejpam-5345	268	2	3]k+1	3]k+1	NUM
ejpam-5345	268	3	q	q	NOUN
ejpam-5345	268	4	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	268	5	γ	γ	X
ejpam-5345	268	6	+	+	X
ejpam-5345	269	1	[	[	X
ejpam-5345	269	2	2]q	2]q	NUM
ejpam-5345	269	3	µ)−r1	µ)−r1	NOUN
ejpam-5345	269	4	(	(	PUNCT
ejpam-5345	269	5	υ	υ	PROPN
ejpam-5345	269	6	,	,	PUNCT
ejpam-5345	269	7	y	y	PROPN
ejpam-5345	269	8	,	,	PUNCT
ejpam-5345	269	9	γ	γ	X
ejpam-5345	269	10	,	,	PUNCT
ejpam-5345	269	11	µ	µ	NOUN
ejpam-5345	269	12	)	)	PUNCT
ejpam-5345	269	13	∣∣∣	∣∣∣	NOUN
ejpam-5345	269	14	(	(	PUNCT
ejpam-5345	269	15	24	24	NUM
ejpam-5345	269	16	)	)	PUNCT
ejpam-5345	269	17	and	and	CCONJ
ejpam-5345	269	18	|d3|	|d3|	NOUN
ejpam-5345	269	19	≤	≤	PUNCT
ejpam-5345	269	20	∣∣b2y2∣∣	∣∣b2y2∣∣	PROPN
ejpam-5345	269	21	[	[	X
ejpam-5345	269	22	2]2k+2	2]2k+2	NUM
ejpam-5345	269	23	q	q	NOUN
ejpam-5345	269	24	ψ2(s)(1−	ψ2(s)(1−	PUNCT
ejpam-5345	269	25	γ	γ	X
ejpam-5345	269	26	+	+	NUM
ejpam-5345	269	27	µ)2	µ)2	NOUN
ejpam-5345	269	28	+	+	CCONJ
ejpam-5345	269	29	|b(y)|	|b(y)|	PROPN
ejpam-5345	269	30	2	2	NUM
ejpam-5345	269	31	[	[	X
ejpam-5345	269	32	3]k+1	3]k+1	NUM
ejpam-5345	269	33	q	q	NOUN
ejpam-5345	269	34	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	269	35	γ	γ	X
ejpam-5345	269	36	+	+	X
ejpam-5345	270	1	[	[	X
ejpam-5345	270	2	2]q	2]q	NUM
ejpam-5345	270	3	µ	µ	NUM
ejpam-5345	270	4	)	)	PUNCT
ejpam-5345	270	5	,	,	PUNCT
ejpam-5345	270	6	(	(	PUNCT
ejpam-5345	270	7	25	25	NUM
ejpam-5345	270	8	)	)	PUNCT
ejpam-5345	270	9	where	where	SCONJ
ejpam-5345	270	10	r1	r1	PROPN
ejpam-5345	270	11	(	(	PUNCT
ejpam-5345	270	12	υ	υ	PROPN
ejpam-5345	270	13	,	,	PUNCT
ejpam-5345	270	14	y	y	PROPN
ejpam-5345	270	15	,	,	PUNCT
ejpam-5345	270	16	γ	γ	PROPN
ejpam-5345	270	17	,	,	PUNCT
ejpam-5345	270	18	µ	µ	NOUN
ejpam-5345	270	19	)	)	PUNCT
ejpam-5345	270	20	=	=	PUNCT
ejpam-5345	271	1	[	[	PUNCT
ejpam-5345	271	2	2]2k+2	2]2k+2	NUM
ejpam-5345	271	3	q	q	NOUN
ejpam-5345	271	4	ψ2(s)(1−	ψ2(s)(1−	PUNCT
ejpam-5345	271	5	γ	γ	X
ejpam-5345	271	6	+	+	X
ejpam-5345	271	7	µ	µ	X
ejpam-5345	271	8	)	)	PUNCT
ejpam-5345	271	9	{	{	PUNCT
ejpam-5345	271	10	(	(	PUNCT
ejpam-5345	271	11	υ2	υ2	PROPN
ejpam-5345	271	12	(	(	PUNCT
ejpam-5345	271	13	y	y	NOUN
ejpam-5345	271	14	)	)	PUNCT
ejpam-5345	271	15	)	)	PUNCT
ejpam-5345	271	16	2	2	NUM
ejpam-5345	271	17	γ	γ	X
ejpam-5345	271	18	+	+	NOUN
ejpam-5345	271	19	υ3(y)(1−	υ3(y)(1−	VERB
ejpam-5345	271	20	γ	γ	PROPN
ejpam-5345	271	21	+	+	X
ejpam-5345	271	22	µ	µ	X
ejpam-5345	271	23	)	)	PUNCT
ejpam-5345	271	24	}	}	PUNCT
ejpam-5345	271	25	.	.	PUNCT
ejpam-5345	272	1	for	for	ADP
ejpam-5345	272	2	δ	δ	PROPN
ejpam-5345	272	3	∈	∈	PROPN
ejpam-5345	272	4	r	r	NOUN
ejpam-5345	272	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	272	6	−	−	PROPN
ejpam-5345	272	7	δd22	δd22	PROPN
ejpam-5345	272	8	∣∣	∣∣	NUM
ejpam-5345	272	9	≤	≤	NUM
ejpam-5345	272	10			PUNCT
ejpam-5345	272	11	|by|	|by|	PROPN
ejpam-5345	273	1	[	[	X
ejpam-5345	273	2	3]k+1	3]k+1	NUM
ejpam-5345	273	3	q	q	NOUN
ejpam-5345	273	4	ψ(s)(1−γ+[2]qµ	ψ(s)(1−γ+[2]qµ	PROPN
ejpam-5345	273	5	)	)	PUNCT
ejpam-5345	273	6	,	,	PUNCT
ejpam-5345	273	7	|1−	|1−	INTJ
ejpam-5345	273	8	δ|	δ|	ADJ
ejpam-5345	273	9	≤m	≤m	NOUN
ejpam-5345	273	10	,	,	PUNCT
ejpam-5345	273	11	|by|3|1−δ|	|by|3|1−δ|	NUM
ejpam-5345	273	12	|2(by)2[3]k+1	|2(by)2[3]k+1	X
ejpam-5345	273	13	q	q	NOUN
ejpam-5345	273	14	ψ(s)(1−γ+[2]qµ)−r2(υ	ψ(s)(1−γ+[2]qµ)−r2(υ	NOUN
ejpam-5345	273	15	,	,	PUNCT
ejpam-5345	273	16	y	y	PROPN
ejpam-5345	273	17	,	,	PUNCT
ejpam-5345	273	18	γ,µ)|	γ,µ)|	PROPN
ejpam-5345	273	19	,	,	PUNCT
ejpam-5345	273	20	|1−	|1−	ADJ
ejpam-5345	273	21	δ|	δ|	NOUN
ejpam-5345	273	22	≥m	≥m	NOUN
ejpam-5345	273	23	,	,	PUNCT
ejpam-5345	273	24	(	(	PUNCT
ejpam-5345	273	25	26	26	NUM
ejpam-5345	273	26	)	)	PUNCT
ejpam-5345	274	1	where	where	SCONJ
ejpam-5345	274	2	r2	r2	PROPN
ejpam-5345	274	3	(	(	PUNCT
ejpam-5345	274	4	υ	υ	PROPN
ejpam-5345	274	5	,	,	PUNCT
ejpam-5345	274	6	y	y	PROPN
ejpam-5345	274	7	,	,	PUNCT
ejpam-5345	274	8	γ	γ	PROPN
ejpam-5345	274	9	,	,	PUNCT
ejpam-5345	274	10	µ	µ	NOUN
ejpam-5345	274	11	)	)	PUNCT
ejpam-5345	274	12	=	=	PUNCT
ejpam-5345	275	1	[	[	PUNCT
ejpam-5345	275	2	2]2k+2	2]2k+2	NUM
ejpam-5345	275	3	q	q	NOUN
ejpam-5345	275	4	ψ2(s)(1−	ψ2(s)(1−	PUNCT
ejpam-5345	275	5	γ	γ	X
ejpam-5345	275	6	+	+	X
ejpam-5345	275	7	µ	µ	X
ejpam-5345	275	8	)	)	PUNCT
ejpam-5345	275	9	{	{	PUNCT
ejpam-5345	275	10	(	(	PUNCT
ejpam-5345	275	11	by)2	by)2	NOUN
ejpam-5345	275	12	γ	γ	X
ejpam-5345	275	13	+	+	CCONJ
ejpam-5345	275	14	(	(	PUNCT
ejpam-5345	275	15	pby2	pby2	PROPN
ejpam-5345	275	16	+	+	CCONJ
ejpam-5345	275	17	ra	ra	PROPN
ejpam-5345	275	18	)	)	PUNCT
ejpam-5345	275	19	(	(	PUNCT
ejpam-5345	275	20	1−	1−	NUM
ejpam-5345	275	21	γ	γ	X
ejpam-5345	275	22	+	+	X
ejpam-5345	275	23	µ	µ	NUM
ejpam-5345	275	24	)	)	PUNCT
ejpam-5345	275	25	}	}	PUNCT
ejpam-5345	275	26	and	and	CCONJ
ejpam-5345	275	27	m	m	VERB
ejpam-5345	275	28	=	=	SYM
ejpam-5345	275	29	1	1	NUM
ejpam-5345	275	30	[	[	X
ejpam-5345	275	31	3]k+1	3]k+1	NUM
ejpam-5345	275	32	q	q	NOUN
ejpam-5345	275	33	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	275	34	γ	γ	X
ejpam-5345	275	35	+	+	X
ejpam-5345	276	1	[	[	X
ejpam-5345	276	2	2]q	2]q	NUM
ejpam-5345	276	3	µ	µ	NOUN
ejpam-5345	276	4	)	)	PUNCT
ejpam-5345	276	5	∣∣∣[3]k+1	∣∣∣[3]k+1	VERB
ejpam-5345	276	6	q	q	NOUN
ejpam-5345	276	7	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	276	8	γ	γ	X
ejpam-5345	276	9	+	+	X
ejpam-5345	277	1	[	[	X
ejpam-5345	277	2	2]q	2]q	NUM
ejpam-5345	277	3	µ)−	µ)−	VERB
ejpam-5345	277	4	[	[	PUNCT
ejpam-5345	277	5	2]2k+2	2]2k+2	NUM
ejpam-5345	277	6	q	q	NOUN
ejpam-5345	277	7	ψ2(s)(1−	ψ2(s)(1−	PUNCT
ejpam-5345	277	8	γ	γ	X
ejpam-5345	277	9	+	+	X
ejpam-5345	277	10	µ	µ	X
ejpam-5345	277	11	)	)	PUNCT
ejpam-5345	277	12	{	{	PUNCT
ejpam-5345	277	13	γ	γ	PROPN
ejpam-5345	277	14	+	+	CCONJ
ejpam-5345	277	15	(	(	PUNCT
ejpam-5345	277	16	pby2	pby2	PROPN
ejpam-5345	277	17	+	+	CCONJ
ejpam-5345	277	18	ra	ra	PROPN
ejpam-5345	277	19	(	(	PUNCT
ejpam-5345	277	20	by)2	by)2	PROPN
ejpam-5345	277	21	)	)	PUNCT
ejpam-5345	277	22	(	(	PUNCT
ejpam-5345	277	23	1−	1−	NUM
ejpam-5345	277	24	γ	γ	X
ejpam-5345	277	25	+	+	X
ejpam-5345	277	26	µ	µ	NOUN
ejpam-5345	277	27	)	)	PUNCT
ejpam-5345	277	28	}	}	PUNCT
ejpam-5345	277	29	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5345	277	30	.	.	PUNCT
ejpam-5345	278	1	(	(	PUNCT
ejpam-5345	278	2	27	27	NUM
ejpam-5345	278	3	)	)	PUNCT
ejpam-5345	278	4	n.	n.	PROPN
ejpam-5345	278	5	k.	k.	PROPN
ejpam-5345	278	6	mishra	mishra	PROPN
ejpam-5345	278	7	,	,	PUNCT
ejpam-5345	278	8	m.	m.	PROPN
ejpam-5345	278	9	f.	f.	PROPN
ejpam-5345	278	10	khan	khan	PROPN
ejpam-5345	278	11	,	,	PUNCT
ejpam-5345	278	12	s.	s.	PROPN
ejpam-5345	278	13	a.	a.	PROPN
ejpam-5345	278	14	lone	lone	PROPN
ejpam-5345	278	15	/	/	SYM
ejpam-5345	278	16	eur	eur	PROPN
ejpam-5345	278	17	.	.	PUNCT
ejpam-5345	279	1	j.	j.	PROPN
ejpam-5345	279	2	pure	pure	PROPN
ejpam-5345	279	3	appl	appl	PROPN
ejpam-5345	279	4	.	.	PROPN
ejpam-5345	279	5	math	math	PROPN
ejpam-5345	279	6	,	,	PUNCT
ejpam-5345	279	7	17	17	NUM
ejpam-5345	279	8	(	(	PUNCT
ejpam-5345	279	9	4	4	NUM
ejpam-5345	279	10	)	)	PUNCT
ejpam-5345	279	11	(	(	PUNCT
ejpam-5345	279	12	2024	2024	NUM
ejpam-5345	279	13	)	)	PUNCT
ejpam-5345	279	14	,	,	PUNCT
ejpam-5345	279	15	2516	2516	NUM
ejpam-5345	279	16	-	-	SYM
ejpam-5345	279	17	2537	2537	NUM
ejpam-5345	279	18	2527	2527	NUM
ejpam-5345	279	19	proof	proof	NOUN
ejpam-5345	279	20	.	.	PUNCT
ejpam-5345	280	1	let	let	VERB
ejpam-5345	280	2	g(z	g(z	ADJ
ejpam-5345	280	3	)	)	PUNCT
ejpam-5345	280	4	∈	∈	PROPN
ejpam-5345	280	5	lς(y	lς(y	PROPN
ejpam-5345	280	6	,	,	PUNCT
ejpam-5345	280	7	γ	γ	PROPN
ejpam-5345	280	8	,	,	PUNCT
ejpam-5345	280	9	µ	µ	NOUN
ejpam-5345	280	10	,	,	PUNCT
ejpam-5345	280	11	k	k	NOUN
ejpam-5345	280	12	,	,	PUNCT
ejpam-5345	280	13	q	q	INTJ
ejpam-5345	280	14	,	,	PUNCT
ejpam-5345	280	15	ψ(s	ψ(s	PROPN
ejpam-5345	280	16	)	)	PUNCT
ejpam-5345	280	17	)	)	PUNCT
ejpam-5345	280	18	.	.	PUNCT
ejpam-5345	281	1	then	then	ADV
ejpam-5345	281	2	,	,	PUNCT
ejpam-5345	281	3	for	for	ADP
ejpam-5345	281	4	two	two	NUM
ejpam-5345	281	5	analytic	analytic	ADJ
ejpam-5345	281	6	functions	function	NOUN
ejpam-5345	281	7	m(z	m(z	PROPN
ejpam-5345	281	8	)	)	PUNCT
ejpam-5345	281	9	and	and	CCONJ
ejpam-5345	281	10	n(z	n(z	NOUN
ejpam-5345	281	11	)	)	PUNCT
ejpam-5345	281	12	such	such	ADJ
ejpam-5345	281	13	that	that	DET
ejpam-5345	281	14	m(0	m(0	NOUN
ejpam-5345	281	15	)	)	PUNCT
ejpam-5345	281	16	=	=	SYM
ejpam-5345	281	17	n(0	n(0	PROPN
ejpam-5345	281	18	)	)	PUNCT
ejpam-5345	281	19	=	=	SYM
ejpam-5345	281	20	0	0	NUM
ejpam-5345	281	21	and	and	CCONJ
ejpam-5345	281	22	|m(z)|	|m(z)|	VERB
ejpam-5345	281	23	<	<	X
ejpam-5345	281	24	1	1	NUM
ejpam-5345	281	25	and	and	CCONJ
ejpam-5345	281	26	|n(ω)|	|n(ω)|	ADJ
ejpam-5345	281	27	<	<	X
ejpam-5345	281	28	1	1	NUM
ejpam-5345	281	29	,	,	PUNCT
ejpam-5345	281	30	z	z	PROPN
ejpam-5345	281	31	,	,	PUNCT
ejpam-5345	281	32	ω	ω	PROPN
ejpam-5345	281	33	∈	∈	PROPN
ejpam-5345	281	34	d.	d.	NOUN
ejpam-5345	281	35	using	use	VERB
ejpam-5345	281	36	definition	definition	NOUN
ejpam-5345	281	37	7	7	NUM
ejpam-5345	281	38	,	,	PUNCT
ejpam-5345	281	39	we	we	PRON
ejpam-5345	281	40	can	can	AUX
ejpam-5345	281	41	write	write	VERB
ejpam-5345	281	42	z∂q(d	z∂q(d	PROPN
ejpam-5345	281	43	kgψ(z	kgψ(z	PROPN
ejpam-5345	281	44	)	)	PUNCT
ejpam-5345	281	45	)	)	PUNCT
ejpam-5345	282	1	+	+	CCONJ
ejpam-5345	282	2	µz2∂2q	µz2∂2q	PUNCT
ejpam-5345	282	3	(	(	PUNCT
ejpam-5345	282	4	d	d	X
ejpam-5345	282	5	k	k	X
ejpam-5345	282	6	q	q	X
ejpam-5345	282	7	gψ(z	gψ(z	NOUN
ejpam-5345	282	8	)	)	PUNCT
ejpam-5345	282	9	)	)	PUNCT
ejpam-5345	283	1	(	(	PUNCT
ejpam-5345	283	2	1−	1−	NUM
ejpam-5345	283	3	γ	γ	X
ejpam-5345	283	4	)	)	PUNCT
ejpam-5345	283	5	z	z	NOUN
ejpam-5345	284	1	+	+	CCONJ
ejpam-5345	284	2	γz∂q(dk	γz∂q(dk	PROPN
ejpam-5345	284	3	q	q	PROPN
ejpam-5345	284	4	gψ(z	gψ(z	NOUN
ejpam-5345	284	5	)	)	PUNCT
ejpam-5345	284	6	)	)	PUNCT
ejpam-5345	285	1	=	=	SYM
ejpam-5345	285	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	285	3	,	,	PUNCT
ejpam-5345	285	4	m	m	PROPN
ejpam-5345	285	5	(	(	PUNCT
ejpam-5345	285	6	z	z	NOUN
ejpam-5345	285	7	)	)	PUNCT
ejpam-5345	285	8	)	)	PUNCT
ejpam-5345	286	1	+	+	CCONJ
ejpam-5345	286	2	1−	1−	NUM
ejpam-5345	286	3	α	α	NOUN
ejpam-5345	286	4	(	(	PUNCT
ejpam-5345	286	5	28	28	NUM
ejpam-5345	286	6	)	)	PUNCT
ejpam-5345	286	7	and	and	CCONJ
ejpam-5345	286	8	ω∂q(d	ω∂q(d	NUM
ejpam-5345	286	9	k	k	X
ejpam-5345	286	10	q	q	PROPN
ejpam-5345	286	11	fψ(ω	fψ(ω	PROPN
ejpam-5345	286	12	)	)	PUNCT
ejpam-5345	286	13	)	)	PUNCT
ejpam-5345	287	1	+	+	CCONJ
ejpam-5345	287	2	µω2∂2q	µω2∂2q	X
ejpam-5345	287	3	(	(	PUNCT
ejpam-5345	287	4	d	d	X
ejpam-5345	287	5	k	k	X
ejpam-5345	287	6	q	q	PROPN
ejpam-5345	287	7	fψ(ω	fψ(ω	PROPN
ejpam-5345	287	8	)	)	PUNCT
ejpam-5345	287	9	)	)	PUNCT
ejpam-5345	287	10	(	(	PUNCT
ejpam-5345	287	11	1−	1−	NUM
ejpam-5345	287	12	γ)ω	γ)ω	PUNCT
ejpam-5345	287	13	+	+	CCONJ
ejpam-5345	287	14	γω∂q(dk	γω∂q(dk	PROPN
ejpam-5345	287	15	q	q	NOUN
ejpam-5345	287	16	fψ(ω	fψ(ω	NUM
ejpam-5345	287	17	)	)	PUNCT
ejpam-5345	287	18	)	)	PUNCT
ejpam-5345	288	1	=	=	SYM
ejpam-5345	288	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	288	3	,	,	PUNCT
ejpam-5345	288	4	n	n	PROPN
ejpam-5345	288	5	(	(	PUNCT
ejpam-5345	288	6	ω	ω	NOUN
ejpam-5345	288	7	)	)	PUNCT
ejpam-5345	288	8	)	)	PUNCT
ejpam-5345	289	1	+	+	CCONJ
ejpam-5345	289	2	1−	1−	NUM
ejpam-5345	289	3	α	α	NOUN
ejpam-5345	289	4	.	.	PUNCT
ejpam-5345	290	1	(	(	PUNCT
ejpam-5345	290	2	29	29	NUM
ejpam-5345	290	3	)	)	PUNCT
ejpam-5345	290	4	following	follow	VERB
ejpam-5345	290	5	(	(	PUNCT
ejpam-5345	290	6	10	10	NUM
ejpam-5345	290	7	)	)	PUNCT
ejpam-5345	290	8	,	,	PUNCT
ejpam-5345	290	9	(	(	PUNCT
ejpam-5345	290	10	11	11	NUM
ejpam-5345	290	11	)	)	PUNCT
ejpam-5345	290	12	,	,	PUNCT
ejpam-5345	290	13	(	(	PUNCT
ejpam-5345	290	14	12	12	NUM
ejpam-5345	290	15	)	)	PUNCT
ejpam-5345	290	16	,	,	PUNCT
ejpam-5345	290	17	and	and	CCONJ
ejpam-5345	290	18	(	(	PUNCT
ejpam-5345	290	19	13	13	NUM
ejpam-5345	290	20	)	)	PUNCT
ejpam-5345	290	21	in	in	ADP
ejpam-5345	290	22	the	the	DET
ejpam-5345	290	23	proof	proof	NOUN
ejpam-5345	290	24	of	of	ADP
ejpam-5345	290	25	theorem	theorem	NOUN
ejpam-5345	290	26	1	1	NUM
ejpam-5345	290	27	,	,	PUNCT
ejpam-5345	290	28	one	one	PRON
ejpam-5345	290	29	gets	get	VERB
ejpam-5345	290	30	the	the	DET
ejpam-5345	290	31	following	following	NOUN
ejpam-5345	290	32	in	in	ADP
ejpam-5345	290	33	view	view	NOUN
ejpam-5345	290	34	of	of	ADP
ejpam-5345	290	35	(	(	PUNCT
ejpam-5345	290	36	28	28	NUM
ejpam-5345	290	37	)	)	PUNCT
ejpam-5345	290	38	and	and	CCONJ
ejpam-5345	290	39	(	(	PUNCT
ejpam-5345	290	40	29	29	NUM
ejpam-5345	290	41	):	):	PUNCT
ejpam-5345	291	1	[	[	X
ejpam-5345	291	2	2]k+1	2]k+1	NUM
ejpam-5345	291	3	q	q	NOUN
ejpam-5345	291	4	ψ(s	ψ(s	PROPN
ejpam-5345	291	5	)	)	PUNCT
ejpam-5345	291	6	(	(	PUNCT
ejpam-5345	291	7	1−	1−	NUM
ejpam-5345	291	8	γ	γ	X
ejpam-5345	291	9	+	+	CCONJ
ejpam-5345	291	10	µ	µ	X
ejpam-5345	291	11	)	)	PUNCT
ejpam-5345	291	12	d2	d2	NOUN
ejpam-5345	291	13	=	=	SYM
ejpam-5345	291	14	υ2(y)m1	υ2(y)m1	NOUN
ejpam-5345	291	15	,	,	PUNCT
ejpam-5345	291	16	(	(	PUNCT
ejpam-5345	291	17	30	30	NUM
ejpam-5345	291	18	)	)	PUNCT
ejpam-5345	291	19	{	{	PUNCT
ejpam-5345	292	1	[	[	X
ejpam-5345	292	2	3]k+1	3]k+1	NUM
ejpam-5345	292	3	q	q	NOUN
ejpam-5345	292	4	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	292	5	γ	γ	X
ejpam-5345	292	6	+	+	X
ejpam-5345	292	7	µ	µ	X
ejpam-5345	292	8	[	[	X
ejpam-5345	292	9	2]q)d3	2]q)d3	NUM
ejpam-5345	292	10	−	−	PROPN
ejpam-5345	293	1	[	[	X
ejpam-5345	293	2	2]2k+2	2]2k+2	NUM
ejpam-5345	293	3	q	q	NOUN
ejpam-5345	293	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	293	5	)	)	PUNCT
ejpam-5345	293	6	(	(	PUNCT
ejpam-5345	293	7	1−	1−	NUM
ejpam-5345	293	8	γ	γ	X
ejpam-5345	293	9	+	+	X
ejpam-5345	293	10	µ	µ	X
ejpam-5345	293	11	)	)	PUNCT
ejpam-5345	293	12	γd22	γd22	PROPN
ejpam-5345	293	13	}	}	PUNCT
ejpam-5345	293	14	=	=	SYM
ejpam-5345	293	15	υ2(y)m2	υ2(y)m2	ADP
ejpam-5345	293	16	+	+	NOUN
ejpam-5345	293	17	υ3(y)m	υ3(y)m	X
ejpam-5345	293	18	2	2	NUM
ejpam-5345	293	19	1	1	NUM
ejpam-5345	293	20	,	,	PUNCT
ejpam-5345	293	21	(	(	PUNCT
ejpam-5345	293	22	31	31	NUM
ejpam-5345	293	23	)	)	PUNCT
ejpam-5345	293	24	−	−	NOUN
ejpam-5345	294	1	[	[	X
ejpam-5345	294	2	2]k+1	2]k+1	NUM
ejpam-5345	294	3	q	q	NOUN
ejpam-5345	294	4	ψ(s	ψ(s	PROPN
ejpam-5345	294	5	)	)	PUNCT
ejpam-5345	294	6	(	(	PUNCT
ejpam-5345	294	7	1−	1−	NUM
ejpam-5345	294	8	γ	γ	X
ejpam-5345	294	9	+	+	CCONJ
ejpam-5345	294	10	µ	µ	X
ejpam-5345	294	11	)	)	PUNCT
ejpam-5345	294	12	d2	d2	NOUN
ejpam-5345	294	13	=	=	PUNCT
ejpam-5345	294	14	υ2(y)n1	υ2(y)n1	X
ejpam-5345	294	15	(	(	PUNCT
ejpam-5345	294	16	32	32	NUM
ejpam-5345	294	17	)	)	PUNCT
ejpam-5345	294	18	and	and	CCONJ
ejpam-5345	294	19	−	−	PROPN
ejpam-5345	295	1	[	[	X
ejpam-5345	295	2	3]k+1	3]k+1	NUM
ejpam-5345	295	3	q	q	NOUN
ejpam-5345	295	4	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	295	5	γ	γ	X
ejpam-5345	295	6	+	+	X
ejpam-5345	295	7	µ	µ	X
ejpam-5345	295	8	[	[	X
ejpam-5345	295	9	2]q)d3	2]q)d3	X
ejpam-5345	295	10	+	+	CCONJ
ejpam-5345	295	11	{	{	PUNCT
ejpam-5345	295	12	2	2	NUM
ejpam-5345	295	13	[	[	SYM
ejpam-5345	295	14	3]k+1	3]k+1	NUM
ejpam-5345	295	15	q	q	NOUN
ejpam-5345	295	16	ψ(s)(1−	ψ(s)(1−	X
ejpam-5345	295	17	γ	γ	X
ejpam-5345	295	18	+	+	X
ejpam-5345	295	19	µ	µ	X
ejpam-5345	295	20	[	[	X
ejpam-5345	295	21	2]q	2]q	NUM
ejpam-5345	295	22	)	)	PUNCT
ejpam-5345	295	23	−	−	NOUN
ejpam-5345	296	1	[	[	X
ejpam-5345	296	2	2]2k+2	2]2k+2	NUM
ejpam-5345	296	3	q	q	NOUN
ejpam-5345	296	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	296	5	)	)	PUNCT
ejpam-5345	296	6	(	(	PUNCT
ejpam-5345	296	7	1−	1−	NUM
ejpam-5345	296	8	γ	γ	X
ejpam-5345	296	9	+	+	CCONJ
ejpam-5345	296	10	µ	µ	NOUN
ejpam-5345	296	11	)	)	PUNCT
ejpam-5345	296	12	γd2	γd2	NOUN
ejpam-5345	296	13	}	}	PUNCT
ejpam-5345	296	14	=	=	SYM
ejpam-5345	296	15	υ2(y)n2	υ2(y)n2	X
ejpam-5345	297	1	+	+	PRON
ejpam-5345	297	2	υ3(y)n	υ3(y)n	ADJ
ejpam-5345	297	3	2	2	NUM
ejpam-5345	297	4	1	1	NUM
ejpam-5345	297	5	.	.	PUNCT
ejpam-5345	297	6	(	(	PUNCT
ejpam-5345	297	7	33	33	NUM
ejpam-5345	297	8	)	)	PUNCT
ejpam-5345	297	9	the	the	DET
ejpam-5345	297	10	results	result	NOUN
ejpam-5345	297	11	(	(	PUNCT
ejpam-5345	297	12	24)-(26	24)-(26	NUM
ejpam-5345	297	13	)	)	PUNCT
ejpam-5345	297	14	of	of	ADP
ejpam-5345	297	15	this	this	DET
ejpam-5345	297	16	theorem	theorem	NOUN
ejpam-5345	297	17	now	now	ADV
ejpam-5345	297	18	follow	follow	VERB
ejpam-5345	297	19	from	from	ADP
ejpam-5345	297	20	(	(	PUNCT
ejpam-5345	297	21	30)-(33	30)-(33	PROPN
ejpam-5345	297	22	)	)	PUNCT
ejpam-5345	297	23	by	by	ADP
ejpam-5345	297	24	applying	apply	VERB
ejpam-5345	297	25	the	the	DET
ejpam-5345	297	26	procedure	procedure	NOUN
ejpam-5345	297	27	as	as	ADP
ejpam-5345	297	28	in	in	ADP
ejpam-5345	297	29	theorem	theorem	NOUN
ejpam-5345	297	30	1	1	NUM
ejpam-5345	297	31	with	with	ADP
ejpam-5345	297	32	respect	respect	NOUN
ejpam-5345	297	33	to	to	ADP
ejpam-5345	297	34	(	(	PUNCT
ejpam-5345	297	35	15)-(18	15)-(18	NUM
ejpam-5345	297	36	)	)	PUNCT
ejpam-5345	297	37	.	.	PUNCT
ejpam-5345	298	1	remark	remark	PROPN
ejpam-5345	298	2	8	8	NUM
ejpam-5345	298	3	.	.	PUNCT
ejpam-5345	299	1	the	the	DET
ejpam-5345	299	2	results	result	NOUN
ejpam-5345	299	3	obtained	obtain	VERB
ejpam-5345	299	4	in	in	ADP
ejpam-5345	299	5	theorem	theorem	ADJ
ejpam-5345	299	6	2	2	NUM
ejpam-5345	299	7	coincide	coincide	NOUN
ejpam-5345	299	8	with	with	ADP
ejpam-5345	299	9	theorem	theorem	ADJ
ejpam-5345	299	10	2.1	2.1	NUM
ejpam-5345	299	11	of	of	ADP
ejpam-5345	299	12	[	[	X
ejpam-5345	299	13	42	42	NUM
ejpam-5345	299	14	]	]	PUNCT
ejpam-5345	299	15	for	for	ADP
ejpam-5345	299	16	k	k	PROPN
ejpam-5345	299	17	=	=	SYM
ejpam-5345	299	18	0	0	NUM
ejpam-5345	299	19	,	,	PUNCT
ejpam-5345	299	20	q	q	X
ejpam-5345	299	21	→	→	SYM
ejpam-5345	299	22	1−	1−	NUM
ejpam-5345	299	23	and	and	CCONJ
ejpam-5345	299	24	ψ(s	ψ(s	NUM
ejpam-5345	299	25	)	)	PUNCT
ejpam-5345	300	1	=	=	SYM
ejpam-5345	300	2	1	1	X
ejpam-5345	300	3	.	.	PUNCT
ejpam-5345	301	1	n.	n.	PROPN
ejpam-5345	301	2	k.	k.	PROPN
ejpam-5345	301	3	mishra	mishra	PROPN
ejpam-5345	301	4	,	,	PUNCT
ejpam-5345	301	5	m.	m.	PROPN
ejpam-5345	301	6	f.	f.	PROPN
ejpam-5345	301	7	khan	khan	PROPN
ejpam-5345	301	8	,	,	PUNCT
ejpam-5345	301	9	s.	s.	PROPN
ejpam-5345	301	10	a.	a.	PROPN
ejpam-5345	301	11	lone	lone	PROPN
ejpam-5345	301	12	/	/	SYM
ejpam-5345	301	13	eur	eur	PROPN
ejpam-5345	301	14	.	.	PUNCT
ejpam-5345	302	1	j.	j.	PROPN
ejpam-5345	302	2	pure	pure	PROPN
ejpam-5345	302	3	appl	appl	PROPN
ejpam-5345	302	4	.	.	PROPN
ejpam-5345	302	5	math	math	PROPN
ejpam-5345	302	6	,	,	PUNCT
ejpam-5345	302	7	17	17	NUM
ejpam-5345	302	8	(	(	PUNCT
ejpam-5345	302	9	4	4	NUM
ejpam-5345	302	10	)	)	PUNCT
ejpam-5345	302	11	(	(	PUNCT
ejpam-5345	302	12	2024	2024	NUM
ejpam-5345	302	13	)	)	PUNCT
ejpam-5345	302	14	,	,	PUNCT
ejpam-5345	302	15	2516	2516	NUM
ejpam-5345	302	16	-	-	SYM
ejpam-5345	302	17	2537	2537	NUM
ejpam-5345	302	18	2528	2528	NUM
ejpam-5345	302	19	2.2	2.2	NUM
ejpam-5345	302	20	.	.	PUNCT
ejpam-5345	303	1	coefficient	coefficient	NOUN
ejpam-5345	303	2	estimates	estimate	NOUN
ejpam-5345	303	3	and	and	CCONJ
ejpam-5345	303	4	fekete	fekete	PROPN
ejpam-5345	303	5	-	-	PUNCT
ejpam-5345	303	6	szegö	szegö	ADJ
ejpam-5345	303	7	problem	problem	NOUN
ejpam-5345	303	8	for	for	ADP
ejpam-5345	303	9	the	the	DET
ejpam-5345	303	10	class	class	NOUN
ejpam-5345	303	11	bς(y	bς(y	PROPN
ejpam-5345	303	12	,	,	PUNCT
ejpam-5345	303	13	ξ	ξ	PROPN
ejpam-5345	303	14	,	,	PUNCT
ejpam-5345	303	15	τ	τ	PROPN
ejpam-5345	303	16	,	,	PUNCT
ejpam-5345	303	17	k	k	NOUN
ejpam-5345	303	18	,	,	PUNCT
ejpam-5345	303	19	q	q	INTJ
ejpam-5345	303	20	,	,	PUNCT
ejpam-5345	303	21	ψ(s	ψ(s	PROPN
ejpam-5345	303	22	)	)	PUNCT
ejpam-5345	303	23	)	)	PUNCT
ejpam-5345	304	1	we	we	PRON
ejpam-5345	304	2	derive	derive	VERB
ejpam-5345	304	3	the	the	DET
ejpam-5345	304	4	estimates	estimate	NOUN
ejpam-5345	304	5	for	for	ADP
ejpam-5345	304	6	the	the	DET
ejpam-5345	304	7	coefficients	coefficient	NOUN
ejpam-5345	304	8	|d2	|d2	NOUN
ejpam-5345	304	9	and	and	CCONJ
ejpam-5345	304	10	|d3|	|d3|	NOUN
ejpam-5345	304	11	and	and	CCONJ
ejpam-5345	304	12	fekete	fekete	PROPN
ejpam-5345	304	13	-	-	PUNCT
ejpam-5345	304	14	szegö	szegö	ADJ
ejpam-5345	304	15	problem	problem	NOUN
ejpam-5345	304	16	in	in	ADP
ejpam-5345	304	17	the	the	DET
ejpam-5345	304	18	following	follow	VERB
ejpam-5345	304	19	result	result	NOUN
ejpam-5345	304	20	.	.	PUNCT
ejpam-5345	305	1	theorem	theorem	NOUN
ejpam-5345	305	2	3	3	X
ejpam-5345	305	3	.	.	PUNCT
ejpam-5345	305	4	let	let	VERB
ejpam-5345	305	5	g(z	g(z	ADJ
ejpam-5345	305	6	)	)	PUNCT
ejpam-5345	305	7	of	of	ADP
ejpam-5345	305	8	the	the	DET
ejpam-5345	305	9	form	form	NOUN
ejpam-5345	305	10	1	1	NUM
ejpam-5345	305	11	is	be	AUX
ejpam-5345	305	12	in	in	ADP
ejpam-5345	305	13	bς(y	bς(y	NUM
ejpam-5345	305	14	,	,	PUNCT
ejpam-5345	305	15	ξ	ξ	PROPN
ejpam-5345	305	16	,	,	PUNCT
ejpam-5345	305	17	τ	τ	PROPN
ejpam-5345	305	18	,	,	PUNCT
ejpam-5345	305	19	k	k	NOUN
ejpam-5345	305	20	,	,	PUNCT
ejpam-5345	305	21	ψ(s	ψ(s	PROPN
ejpam-5345	305	22	)	)	PUNCT
ejpam-5345	305	23	)	)	PUNCT
ejpam-5345	305	24	.	.	PUNCT
ejpam-5345	306	1	then	then	ADV
ejpam-5345	306	2	|d2|	|d2|	VERB
ejpam-5345	306	3	≤	≤	ADJ
ejpam-5345	306	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	306	5	√	√	ADP
ejpam-5345	306	6	|b(y)|√	|b(y)|√	NOUN
ejpam-5345	306	7	[	[	X
ejpam-5345	306	8	3]k+1	3]k+1	NUM
ejpam-5345	306	9	q	q	NOUN
ejpam-5345	306	10	ψ(s	ψ(s	PROPN
ejpam-5345	306	11	)	)	PUNCT
ejpam-5345	306	12	(	(	PUNCT
ejpam-5345	306	13	ξτ	ξτ	X
ejpam-5345	306	14	(	(	PUNCT
ejpam-5345	306	15	[	[	X
ejpam-5345	306	16	2]q	2]q	NUM
ejpam-5345	306	17	+	+	CCONJ
ejpam-5345	306	18	1	1	NUM
ejpam-5345	306	19	)	)	PUNCT
ejpam-5345	306	20	−	−	PROPN
ejpam-5345	306	21	1	1	NUM
ejpam-5345	306	22	)	)	PUNCT
ejpam-5345	306	23	(	(	PUNCT
ejpam-5345	306	24	by)2	by)2	NOUN
ejpam-5345	306	25	−h	−h	ADJ
ejpam-5345	306	26	(	(	PUNCT
ejpam-5345	306	27	s	s	PROPN
ejpam-5345	306	28	,	,	PUNCT
ejpam-5345	306	29	ξ	ξ	PROPN
ejpam-5345	306	30	,	,	PUNCT
ejpam-5345	306	31	τ	τ	PROPN
ejpam-5345	306	32	,	,	PUNCT
ejpam-5345	306	33	b	b	PROPN
ejpam-5345	306	34	,	,	PUNCT
ejpam-5345	306	35	y	y	PROPN
ejpam-5345	306	36	)	)	PUNCT
ejpam-5345	306	37	,	,	PUNCT
ejpam-5345	306	38	(	(	PUNCT
ejpam-5345	306	39	34	34	NUM
ejpam-5345	306	40	)	)	PUNCT
ejpam-5345	306	41	|d3|	|d3|	NOUN
ejpam-5345	306	42	≤	≤	NUM
ejpam-5345	306	43	(	(	PUNCT
ejpam-5345	306	44	by)2	by)2	NOUN
ejpam-5345	306	45	(	(	PUNCT
ejpam-5345	306	46	2ξτ	2ξτ	ADJ
ejpam-5345	306	47	−	−	PROPN
ejpam-5345	306	48	1)2	1)2	NUM
ejpam-5345	306	49	[	[	X
ejpam-5345	306	50	2]2k+2	2]2k+2	NUM
ejpam-5345	306	51	q	q	NOUN
ejpam-5345	306	52	ψ2(s	ψ2(s	NOUN
ejpam-5345	306	53	)	)	PUNCT
ejpam-5345	306	54	+	+	CCONJ
ejpam-5345	306	55	|b(y)|	|b(y)|	PROPN
ejpam-5345	306	56	[	[	X
ejpam-5345	306	57	3]k+1	3]k+1	NUM
ejpam-5345	306	58	q	q	NOUN
ejpam-5345	306	59	ψ(s	ψ(s	PROPN
ejpam-5345	306	60	)	)	PUNCT
ejpam-5345	306	61	(	(	PUNCT
ejpam-5345	306	62	ξτ	ξτ	X
ejpam-5345	306	63	(	(	PUNCT
ejpam-5345	306	64	[	[	X
ejpam-5345	306	65	2]q	2]q	NUM
ejpam-5345	306	66	+	+	CCONJ
ejpam-5345	306	67	1	1	NUM
ejpam-5345	306	68	)	)	PUNCT
ejpam-5345	306	69	−	−	PROPN
ejpam-5345	306	70	1	1	NUM
ejpam-5345	306	71	)	)	PUNCT
ejpam-5345	306	72	,	,	PUNCT
ejpam-5345	306	73	(	(	PUNCT
ejpam-5345	306	74	35	35	NUM
ejpam-5345	306	75	)	)	PUNCT
ejpam-5345	306	76	where	where	SCONJ
ejpam-5345	306	77	h	h	NOUN
ejpam-5345	306	78	(	(	PUNCT
ejpam-5345	306	79	s	s	PROPN
ejpam-5345	306	80	,	,	PUNCT
ejpam-5345	306	81	ξ	ξ	PROPN
ejpam-5345	306	82	,	,	PUNCT
ejpam-5345	306	83	τ	τ	PROPN
ejpam-5345	306	84	,	,	PUNCT
ejpam-5345	306	85	b	b	PROPN
ejpam-5345	306	86	,	,	PUNCT
ejpam-5345	306	87	y	y	NOUN
ejpam-5345	306	88	)	)	PUNCT
ejpam-5345	306	89	=	=	PRON
ejpam-5345	306	90	{	{	PUNCT
ejpam-5345	307	1	[	[	X
ejpam-5345	307	2	2]k+1	2]k+1	NUM
ejpam-5345	307	3	q	q	X
ejpam-5345	307	4	ψ2(s)(2ξτ	ψ2(s)(2ξτ	ADV
ejpam-5345	307	5	(	(	PUNCT
ejpam-5345	307	6	τ	τ	PROPN
ejpam-5345	307	7	−	−	PROPN
ejpam-5345	307	8	1)−	1)−	NUM
ejpam-5345	307	9	2ξτ	2ξτ	NOUN
ejpam-5345	308	1	+	+	CCONJ
ejpam-5345	309	1	1	1	NUM
ejpam-5345	309	2	)	)	PUNCT
ejpam-5345	309	3	(	(	PUNCT
ejpam-5345	309	4	by)2	by)2	NOUN
ejpam-5345	309	5	−	−	PROPN
ejpam-5345	309	6	(	(	PUNCT
ejpam-5345	309	7	2ξτ	2ξτ	ADJ
ejpam-5345	309	8	−	−	NOUN
ejpam-5345	309	9	1	1	NUM
ejpam-5345	309	10	)	)	PUNCT
ejpam-5345	310	1	[	[	X
ejpam-5345	310	2	2]2k+2	2]2k+2	NUM
ejpam-5345	310	3	q	q	NOUN
ejpam-5345	310	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	310	5	)	)	PUNCT
ejpam-5345	310	6	(	(	PUNCT
ejpam-5345	310	7	pby2	pby2	PROPN
ejpam-5345	310	8	+	+	CCONJ
ejpam-5345	310	9	ra	ra	PROPN
ejpam-5345	310	10	)	)	PUNCT
ejpam-5345	310	11	}	}	PUNCT
ejpam-5345	310	12	.	.	PUNCT
ejpam-5345	311	1	for	for	ADP
ejpam-5345	311	2	δ	δ	PROPN
ejpam-5345	311	3	∈	∈	PROPN
ejpam-5345	311	4	r	r	NOUN
ejpam-5345	311	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	311	6	−	−	PROPN
ejpam-5345	311	7	δd22	δd22	PROPN
ejpam-5345	311	8	∣∣	∣∣	NUM
ejpam-5345	311	9	≤	≤	NUM
ejpam-5345	311	10			PUNCT
ejpam-5345	311	11	|by|	|by|	PROPN
ejpam-5345	311	12	[	[	X
ejpam-5345	311	13	3]k+1	3]k+1	NUM
ejpam-5345	311	14	q	q	NOUN
ejpam-5345	311	15	ψ(s)(ξτ([2]q+1)−1	ψ(s)(ξτ([2]q+1)−1	NOUN
ejpam-5345	311	16	)	)	PUNCT
ejpam-5345	311	17	,	,	PUNCT
ejpam-5345	311	18	|1−	|1−	INTJ
ejpam-5345	311	19	δ|	δ|	ADJ
ejpam-5345	311	20	≤	≤	PROPN
ejpam-5345	311	21	ω	ω	PROPN
ejpam-5345	311	22	,	,	PUNCT
ejpam-5345	311	23	|by|3|1−δ|	|by|3|1−δ|	PROPN
ejpam-5345	311	24	|[3]k+1	|[3]k+1	PROPN
ejpam-5345	311	25	q	q	PUNCT
ejpam-5345	311	26	ψ(s)(ξτ([2]q+1)−1)(by)2−h(s	ψ(s)(ξτ([2]q+1)−1)(by)2−h(s	PROPN
ejpam-5345	311	27	,	,	PUNCT
ejpam-5345	311	28	ξ	ξ	PROPN
ejpam-5345	311	29	,	,	PUNCT
ejpam-5345	311	30	τ	τ	PROPN
ejpam-5345	311	31	,	,	PUNCT
ejpam-5345	311	32	b	b	PROPN
ejpam-5345	311	33	,	,	PUNCT
ejpam-5345	311	34	y)|	y)|	PROPN
ejpam-5345	311	35	,	,	PUNCT
ejpam-5345	311	36	|1−	|1−	INTJ
ejpam-5345	311	37	δ|	δ|	PROPN
ejpam-5345	311	38	≥	≥	NUM
ejpam-5345	311	39	ω	ω	NOUN
ejpam-5345	311	40	,	,	PUNCT
ejpam-5345	311	41	(	(	PUNCT
ejpam-5345	311	42	36	36	NUM
ejpam-5345	311	43	)	)	PUNCT
ejpam-5345	311	44	where	where	SCONJ
ejpam-5345	311	45	ω	ω	NOUN
ejpam-5345	311	46	=	=	PUNCT
ejpam-5345	311	47	∣∣∣[3]k+1	∣∣∣[3]k+1	PROPN
ejpam-5345	311	48	q	q	NOUN
ejpam-5345	311	49	ψ(s	ψ(s	PROPN
ejpam-5345	311	50	)	)	PUNCT
ejpam-5345	311	51	(	(	PUNCT
ejpam-5345	311	52	ξτ	ξτ	X
ejpam-5345	311	53	(	(	PUNCT
ejpam-5345	311	54	[	[	X
ejpam-5345	311	55	2]q	2]q	NUM
ejpam-5345	311	56	+	+	CCONJ
ejpam-5345	311	57	1	1	NUM
ejpam-5345	311	58	)	)	PUNCT
ejpam-5345	311	59	−	−	PROPN
ejpam-5345	311	60	1	1	NUM
ejpam-5345	311	61	)	)	PUNCT
ejpam-5345	311	62	(	(	PUNCT
ejpam-5345	311	63	b2y2	b2y2	X
ejpam-5345	311	64	)	)	PUNCT
ejpam-5345	311	65	−h	−h	ADV
ejpam-5345	311	66	(	(	PUNCT
ejpam-5345	311	67	s	s	PROPN
ejpam-5345	311	68	,	,	PUNCT
ejpam-5345	311	69	ξ	ξ	PROPN
ejpam-5345	311	70	,	,	PUNCT
ejpam-5345	311	71	τ	τ	PROPN
ejpam-5345	311	72	,	,	PUNCT
ejpam-5345	311	73	b	b	PROPN
ejpam-5345	311	74	,	,	PUNCT
ejpam-5345	311	75	y	y	NOUN
ejpam-5345	311	76	)	)	PUNCT
ejpam-5345	311	77	∣∣∣	∣∣∣	NOUN
ejpam-5345	311	78	4	4	NUM
ejpam-5345	312	1	[	[	SYM
ejpam-5345	312	2	3]k+1	3]k+1	NUM
ejpam-5345	312	3	q	q	NOUN
ejpam-5345	312	4	ψ(s	ψ(s	PROPN
ejpam-5345	312	5	)	)	PUNCT
ejpam-5345	312	6	(	(	PUNCT
ejpam-5345	312	7	ξτ	ξτ	X
ejpam-5345	312	8	(	(	PUNCT
ejpam-5345	312	9	[	[	X
ejpam-5345	312	10	2]q	2]q	NUM
ejpam-5345	312	11	+	+	CCONJ
ejpam-5345	312	12	1	1	NUM
ejpam-5345	312	13	)	)	PUNCT
ejpam-5345	312	14	−	−	PROPN
ejpam-5345	312	15	1	1	NUM
ejpam-5345	312	16	)	)	PUNCT
ejpam-5345	312	17	(	(	PUNCT
ejpam-5345	312	18	b2y2	b2y2	X
ejpam-5345	312	19	)	)	PUNCT
ejpam-5345	312	20	.	.	PUNCT
ejpam-5345	313	1	proof	proof	NOUN
ejpam-5345	313	2	.	.	PUNCT
ejpam-5345	314	1	let	let	VERB
ejpam-5345	314	2	g(z	g(z	ADJ
ejpam-5345	314	3	)	)	PUNCT
ejpam-5345	314	4	∈	∈	PROPN
ejpam-5345	314	5	bς(y	bς(y	X
ejpam-5345	314	6	,	,	PUNCT
ejpam-5345	314	7	ξ	ξ	PROPN
ejpam-5345	314	8	,	,	PUNCT
ejpam-5345	314	9	τ	τ	PROPN
ejpam-5345	314	10	,	,	PUNCT
ejpam-5345	314	11	k	k	NOUN
ejpam-5345	314	12	,	,	PUNCT
ejpam-5345	314	13	q	q	INTJ
ejpam-5345	314	14	,	,	PUNCT
ejpam-5345	314	15	ψ(s	ψ(s	PROPN
ejpam-5345	314	16	)	)	PUNCT
ejpam-5345	314	17	)	)	PUNCT
ejpam-5345	314	18	,	,	PUNCT
ejpam-5345	314	19	we	we	PRON
ejpam-5345	314	20	have	have	VERB
ejpam-5345	314	21	(	(	PUNCT
ejpam-5345	314	22	1−	1−	NUM
ejpam-5345	314	23	ξ	ξ	NOUN
ejpam-5345	314	24	)	)	PUNCT
ejpam-5345	315	1	+	+	NUM
ejpam-5345	315	2	ξ	ξ	X
ejpam-5345	315	3	[	[	PUNCT
ejpam-5345	315	4	∂q(z∂q	∂q(z∂q	NOUN
ejpam-5345	315	5	(	(	PUNCT
ejpam-5345	315	6	dk	dk	PROPN
ejpam-5345	315	7	q	q	NOUN
ejpam-5345	315	8	gψ(z	gψ(z	NOUN
ejpam-5345	315	9	)	)	PUNCT
ejpam-5345	315	10	)	)	PUNCT
ejpam-5345	315	11	)	)	PUNCT
ejpam-5345	316	1	]	]	PUNCT
ejpam-5345	316	2	τ	τ	X
ejpam-5345	316	3	∂q(dk	∂q(dk	X
ejpam-5345	316	4	q	q	PROPN
ejpam-5345	316	5	gψ(z	gψ(z	NOUN
ejpam-5345	316	6	)	)	PUNCT
ejpam-5345	316	7	)	)	PUNCT
ejpam-5345	317	1	=	=	SYM
ejpam-5345	317	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	317	3	,	,	PUNCT
ejpam-5345	317	4	m	m	PROPN
ejpam-5345	317	5	(	(	PUNCT
ejpam-5345	317	6	z	z	NOUN
ejpam-5345	317	7	)	)	PUNCT
ejpam-5345	317	8	)	)	PUNCT
ejpam-5345	318	1	+	+	CCONJ
ejpam-5345	318	2	1−	1−	NUM
ejpam-5345	318	3	α	α	NOUN
ejpam-5345	318	4	,	,	PUNCT
ejpam-5345	318	5	z	z	PROPN
ejpam-5345	318	6	∈	∈	PROPN
ejpam-5345	318	7	d	d	X
ejpam-5345	318	8	(	(	PUNCT
ejpam-5345	318	9	37	37	NUM
ejpam-5345	318	10	)	)	PUNCT
ejpam-5345	318	11	and	and	CCONJ
ejpam-5345	318	12	(	(	PUNCT
ejpam-5345	318	13	1−	1−	NUM
ejpam-5345	318	14	ξ	ξ	NOUN
ejpam-5345	318	15	)	)	PUNCT
ejpam-5345	319	1	+	+	NUM
ejpam-5345	319	2	ξ	ξ	X
ejpam-5345	319	3	[	[	PUNCT
ejpam-5345	319	4	∂q(ω∂q	∂q(ω∂q	NOUN
ejpam-5345	319	5	(	(	PUNCT
ejpam-5345	319	6	dk	dk	PROPN
ejpam-5345	319	7	q	q	PROPN
ejpam-5345	319	8	fψ(ω	fψ(ω	PROPN
ejpam-5345	319	9	)	)	PUNCT
ejpam-5345	319	10	)	)	PUNCT
ejpam-5345	319	11	)	)	PUNCT
ejpam-5345	320	1	]	]	PUNCT
ejpam-5345	320	2	τ	τ	PROPN
ejpam-5345	320	3	∂q(dk	∂q(dk	PROPN
ejpam-5345	320	4	q	q	PROPN
ejpam-5345	320	5	fψ(ω	fψ(ω	NUM
ejpam-5345	320	6	)	)	PUNCT
ejpam-5345	320	7	)	)	PUNCT
ejpam-5345	321	1	=	=	SYM
ejpam-5345	321	2	𭟋(y	𭟋(y	PROPN
ejpam-5345	321	3	,	,	PUNCT
ejpam-5345	321	4	n	n	PROPN
ejpam-5345	321	5	(	(	PUNCT
ejpam-5345	321	6	ω	ω	NOUN
ejpam-5345	321	7	)	)	PUNCT
ejpam-5345	321	8	)	)	PUNCT
ejpam-5345	322	1	+	+	CCONJ
ejpam-5345	322	2	1−	1−	NUM
ejpam-5345	322	3	α	α	NOUN
ejpam-5345	322	4	,	,	PUNCT
ejpam-5345	322	5	ω	ω	PROPN
ejpam-5345	322	6	∈	∈	PROPN
ejpam-5345	322	7	d.	d.	PROPN
ejpam-5345	322	8	(	(	PUNCT
ejpam-5345	322	9	38	38	NUM
ejpam-5345	322	10	)	)	PUNCT
ejpam-5345	322	11	solving	solve	VERB
ejpam-5345	322	12	the	the	DET
ejpam-5345	322	13	both	both	DET
ejpam-5345	322	14	side	side	NOUN
ejpam-5345	322	15	of	of	ADP
ejpam-5345	322	16	(	(	PUNCT
ejpam-5345	322	17	37	37	NUM
ejpam-5345	322	18	)	)	PUNCT
ejpam-5345	322	19	and	and	CCONJ
ejpam-5345	322	20	(	(	PUNCT
ejpam-5345	322	21	38	38	NUM
ejpam-5345	322	22	)	)	PUNCT
ejpam-5345	322	23	,	,	PUNCT
ejpam-5345	322	24	we	we	PRON
ejpam-5345	322	25	get	get	VERB
ejpam-5345	322	26	following	follow	VERB
ejpam-5345	322	27	equations	equation	NOUN
ejpam-5345	322	28	:	:	PUNCT
ejpam-5345	322	29	(	(	PUNCT
ejpam-5345	322	30	2ξτ	2ξτ	ADJ
ejpam-5345	322	31	−	−	NOUN
ejpam-5345	322	32	1	1	NUM
ejpam-5345	322	33	)	)	PUNCT
ejpam-5345	323	1	[	[	X
ejpam-5345	323	2	2]k+1	2]k+1	NUM
ejpam-5345	323	3	q	q	PRON
ejpam-5345	323	4	ψ(s)d2	ψ(s)d2	NOUN
ejpam-5345	323	5	=	=	SYM
ejpam-5345	323	6	υ2(y)m1	υ2(y)m1	NOUN
ejpam-5345	323	7	,	,	PUNCT
ejpam-5345	323	8	(	(	PUNCT
ejpam-5345	323	9	39	39	NUM
ejpam-5345	323	10	)	)	PUNCT
ejpam-5345	323	11	{	{	PUNCT
ejpam-5345	324	1	[	[	X
ejpam-5345	324	2	3]k+1	3]k+1	NUM
ejpam-5345	324	3	q	q	NOUN
ejpam-5345	324	4	ψ(s	ψ(s	PROPN
ejpam-5345	324	5	)	)	PUNCT
ejpam-5345	324	6	(	(	PUNCT
ejpam-5345	324	7	ξτ	ξτ	X
ejpam-5345	324	8	(	(	PUNCT
ejpam-5345	324	9	[	[	X
ejpam-5345	324	10	2]q	2]q	NUM
ejpam-5345	324	11	+	+	CCONJ
ejpam-5345	324	12	1	1	NUM
ejpam-5345	324	13	)	)	PUNCT
ejpam-5345	324	14	−	−	ADP
ejpam-5345	324	15	1	1	X
ejpam-5345	324	16	)	)	PUNCT
ejpam-5345	324	17	d3	d3	PROPN
ejpam-5345	324	18	−	−	PROPN
ejpam-5345	324	19	n.	n.	PROPN
ejpam-5345	324	20	k.	k.	PROPN
ejpam-5345	324	21	mishra	mishra	PROPN
ejpam-5345	324	22	,	,	PUNCT
ejpam-5345	324	23	m.	m.	PROPN
ejpam-5345	324	24	f.	f.	PROPN
ejpam-5345	324	25	khan	khan	PROPN
ejpam-5345	324	26	,	,	PUNCT
ejpam-5345	324	27	s.	s.	PROPN
ejpam-5345	324	28	a.	a.	PROPN
ejpam-5345	324	29	lone	lone	PROPN
ejpam-5345	324	30	/	/	SYM
ejpam-5345	324	31	eur	eur	PROPN
ejpam-5345	324	32	.	.	PUNCT
ejpam-5345	325	1	j.	j.	PROPN
ejpam-5345	325	2	pure	pure	PROPN
ejpam-5345	325	3	appl	appl	PROPN
ejpam-5345	325	4	.	.	PROPN
ejpam-5345	325	5	math	math	PROPN
ejpam-5345	325	6	,	,	PUNCT
ejpam-5345	325	7	17	17	NUM
ejpam-5345	325	8	(	(	PUNCT
ejpam-5345	325	9	4	4	NUM
ejpam-5345	325	10	)	)	PUNCT
ejpam-5345	325	11	(	(	PUNCT
ejpam-5345	325	12	2024	2024	NUM
ejpam-5345	325	13	)	)	PUNCT
ejpam-5345	325	14	,	,	PUNCT
ejpam-5345	325	15	2516	2516	NUM
ejpam-5345	325	16	-	-	SYM
ejpam-5345	325	17	2537	2537	NUM
ejpam-5345	325	18	2529	2529	NUM
ejpam-5345	326	1	[	[	X
ejpam-5345	326	2	2]k+1	2]k+1	NUM
ejpam-5345	326	3	q	q	X
ejpam-5345	326	4	ψ2(s)(2ξτ	ψ2(s)(2ξτ	ADV
ejpam-5345	326	5	(	(	PUNCT
ejpam-5345	326	6	τ	τ	PROPN
ejpam-5345	326	7	−	−	PROPN
ejpam-5345	326	8	1)−	1)−	NUM
ejpam-5345	326	9	2ξτ	2ξτ	NOUN
ejpam-5345	327	1	+	+	CCONJ
ejpam-5345	327	2	1)d22	1)d22	NUM
ejpam-5345	327	3	}	}	PUNCT
ejpam-5345	327	4	=	=	SYM
ejpam-5345	327	5	υ2(y)m2	υ2(y)m2	NOUN
ejpam-5345	327	6	+	+	NOUN
ejpam-5345	327	7	υ3(y)m	υ3(y)m	X
ejpam-5345	327	8	2	2	NUM
ejpam-5345	327	9	1	1	NUM
ejpam-5345	327	10	,	,	PUNCT
ejpam-5345	327	11	(	(	PUNCT
ejpam-5345	327	12	40	40	NUM
ejpam-5345	327	13	)	)	PUNCT
ejpam-5345	327	14	−	−	PROPN
ejpam-5345	328	1	(	(	PUNCT
ejpam-5345	328	2	2ξτ	2ξτ	ADJ
ejpam-5345	328	3	−	−	NOUN
ejpam-5345	328	4	1	1	NUM
ejpam-5345	328	5	)	)	PUNCT
ejpam-5345	329	1	[	[	X
ejpam-5345	329	2	2]k+1	2]k+1	NUM
ejpam-5345	329	3	q	q	PRON
ejpam-5345	329	4	ψ(s)d2	ψ(s)d2	NOUN
ejpam-5345	329	5	=	=	NOUN
ejpam-5345	329	6	υ2(y)n1	υ2(y)n1	X
ejpam-5345	329	7	(	(	PUNCT
ejpam-5345	329	8	41	41	NUM
ejpam-5345	329	9	)	)	PUNCT
ejpam-5345	329	10	and	and	CCONJ
ejpam-5345	329	11	−	−	PROPN
ejpam-5345	330	1	[	[	X
ejpam-5345	330	2	3]k+1	3]k+1	NUM
ejpam-5345	330	3	q	q	NOUN
ejpam-5345	330	4	ψ(s	ψ(s	PROPN
ejpam-5345	330	5	)	)	PUNCT
ejpam-5345	330	6	(	(	PUNCT
ejpam-5345	330	7	ξτ	ξτ	X
ejpam-5345	330	8	(	(	PUNCT
ejpam-5345	330	9	[	[	X
ejpam-5345	330	10	2]q	2]q	NUM
ejpam-5345	330	11	+	+	CCONJ
ejpam-5345	330	12	1	1	NUM
ejpam-5345	330	13	)	)	PUNCT
ejpam-5345	330	14	−	−	ADP
ejpam-5345	330	15	1	1	X
ejpam-5345	330	16	)	)	PUNCT
ejpam-5345	330	17	d3	d3	PROPN
ejpam-5345	330	18	+	+	CCONJ
ejpam-5345	330	19	(	(	PUNCT
ejpam-5345	330	20	2	2	NUM
ejpam-5345	330	21	[	[	NOUN
ejpam-5345	330	22	3]k+1	3]k+1	NUM
ejpam-5345	330	23	q	q	NOUN
ejpam-5345	330	24	ψ(s	ψ(s	PROPN
ejpam-5345	330	25	)	)	PUNCT
ejpam-5345	330	26	(	(	PUNCT
ejpam-5345	330	27	ξτ	ξτ	X
ejpam-5345	330	28	(	(	PUNCT
ejpam-5345	330	29	[	[	X
ejpam-5345	330	30	2]q	2]q	NUM
ejpam-5345	330	31	+	+	CCONJ
ejpam-5345	330	32	1	1	NUM
ejpam-5345	330	33	)	)	PUNCT
ejpam-5345	330	34	−	−	PROPN
ejpam-5345	330	35	1	1	NUM
ejpam-5345	330	36	)	)	PUNCT
ejpam-5345	330	37	−	−	PROPN
ejpam-5345	331	1	[	[	X
ejpam-5345	331	2	2]k+1	2]k+1	NUM
ejpam-5345	331	3	q	q	X
ejpam-5345	331	4	ψ2(s)(2ξτ	ψ2(s)(2ξτ	ADV
ejpam-5345	331	5	(	(	PUNCT
ejpam-5345	331	6	τ	τ	PROPN
ejpam-5345	331	7	−	−	PROPN
ejpam-5345	331	8	1)−	1)−	NUM
ejpam-5345	331	9	2ξτ	2ξτ	NOUN
ejpam-5345	331	10	+	+	CCONJ
ejpam-5345	331	11	1	1	NUM
ejpam-5345	331	12	)	)	PUNCT
ejpam-5345	331	13	)	)	PUNCT
ejpam-5345	332	1	d22	d22	NOUN
ejpam-5345	332	2	=	=	SYM
ejpam-5345	332	3	υ2(y)n2	υ2(y)n2	X
ejpam-5345	333	1	+	+	PRON
ejpam-5345	333	2	υ3(y)n	υ3(y)n	ADJ
ejpam-5345	333	3	2	2	NUM
ejpam-5345	333	4	1	1	NUM
ejpam-5345	333	5	.	.	PUNCT
ejpam-5345	333	6	(	(	PUNCT
ejpam-5345	333	7	42	42	NUM
ejpam-5345	333	8	)	)	PUNCT
ejpam-5345	333	9	by	by	ADP
ejpam-5345	333	10	using	use	VERB
ejpam-5345	333	11	the	the	DET
ejpam-5345	333	12	same	same	ADJ
ejpam-5345	333	13	procedure	procedure	NOUN
ejpam-5345	333	14	of	of	ADP
ejpam-5345	333	15	theorem	theorem	NOUN
ejpam-5345	333	16	3	3	NUM
ejpam-5345	333	17	,	,	PUNCT
ejpam-5345	333	18	we	we	PRON
ejpam-5345	333	19	have	have	VERB
ejpam-5345	333	20	the	the	DET
ejpam-5345	333	21	required	require	VERB
ejpam-5345	333	22	result	result	NOUN
ejpam-5345	333	23	.	.	PUNCT
ejpam-5345	334	1	remark	remark	NOUN
ejpam-5345	334	2	9	9	NUM
ejpam-5345	334	3	.	.	PUNCT
ejpam-5345	335	1	the	the	DET
ejpam-5345	335	2	results	result	NOUN
ejpam-5345	335	3	obtained	obtain	VERB
ejpam-5345	335	4	in	in	ADP
ejpam-5345	335	5	theorem	theorem	ADJ
ejpam-5345	335	6	3	3	NUM
ejpam-5345	335	7	coincide	coincide	NOUN
ejpam-5345	335	8	with	with	ADP
ejpam-5345	335	9	theorem	theorem	ADJ
ejpam-5345	335	10	2.2	2.2	NUM
ejpam-5345	335	11	of	of	ADP
ejpam-5345	335	12	[	[	X
ejpam-5345	335	13	42	42	NUM
ejpam-5345	335	14	]	]	PUNCT
ejpam-5345	335	15	,	,	PUNCT
ejpam-5345	335	16	when	when	SCONJ
ejpam-5345	335	17	k	k	PROPN
ejpam-5345	335	18	=	=	PUNCT
ejpam-5345	335	19	0	0	PROPN
ejpam-5345	335	20	and	and	CCONJ
ejpam-5345	335	21	ψ(s	ψ(s	NUM
ejpam-5345	335	22	)	)	PUNCT
ejpam-5345	336	1	=	=	PUNCT
ejpam-5345	336	2	1	1	X
ejpam-5345	336	3	.	.	PUNCT
ejpam-5345	337	1	in	in	ADP
ejpam-5345	337	2	the	the	DET
ejpam-5345	337	3	next	next	ADJ
ejpam-5345	337	4	section	section	NOUN
ejpam-5345	337	5	,	,	PUNCT
ejpam-5345	337	6	we	we	PRON
ejpam-5345	337	7	present	present	VERB
ejpam-5345	337	8	some	some	DET
ejpam-5345	337	9	interesting	interesting	ADJ
ejpam-5345	337	10	consequences	consequence	NOUN
ejpam-5345	337	11	of	of	ADP
ejpam-5345	337	12	our	our	PRON
ejpam-5345	337	13	main	main	ADJ
ejpam-5345	337	14	results	result	NOUN
ejpam-5345	337	15	.	.	PUNCT
ejpam-5345	338	1	3	3	X
ejpam-5345	338	2	.	.	X
ejpam-5345	338	3	corollaries	corollary	NOUN
ejpam-5345	338	4	and	and	CCONJ
ejpam-5345	338	5	consequences	consequence	NOUN
ejpam-5345	338	6	corollary	corollary	ADJ
ejpam-5345	338	7	1	1	NUM
ejpam-5345	338	8	.	.	PUNCT
ejpam-5345	339	1	let	let	AUX
ejpam-5345	339	2	g(z	g(z	PROPN
ejpam-5345	339	3	)	)	PUNCT
ejpam-5345	339	4	be	be	AUX
ejpam-5345	339	5	in	in	ADP
ejpam-5345	339	6	the	the	DET
ejpam-5345	339	7	family	family	NOUN
ejpam-5345	339	8	jς(y	jς(y	NOUN
ejpam-5345	339	9	,	,	PUNCT
ejpam-5345	339	10	k	k	NOUN
ejpam-5345	339	11	,	,	PUNCT
ejpam-5345	339	12	q	q	NOUN
ejpam-5345	339	13	,	,	PUNCT
ejpam-5345	339	14	ψ(s)).then	ψ(s)).then	PROPN
ejpam-5345	340	1	|d2|	|d2|	NOUN
ejpam-5345	341	1	≤	≤	PUNCT
ejpam-5345	342	1	|by|	|by|	PROPN
ejpam-5345	342	2	√	√	NUM
ejpam-5345	342	3	|by|√∣∣∣{(υ2	|by|√∣∣∣{(υ2	PUNCT
ejpam-5345	342	4	(	(	PUNCT
ejpam-5345	342	5	y	y	NOUN
ejpam-5345	342	6	)	)	PUNCT
ejpam-5345	342	7	)	)	PUNCT
ejpam-5345	342	8	2	2	NUM
ejpam-5345	343	1	[	[	X
ejpam-5345	343	2	2]q	2]q	NUM
ejpam-5345	343	3	[	[	X
ejpam-5345	343	4	3	3	NUM
ejpam-5345	343	5	]	]	X
ejpam-5345	343	6	k	k	PROPN
ejpam-5345	343	7	q	q	X
ejpam-5345	343	8	ψ(s	ψ(s	PROPN
ejpam-5345	343	9	)	)	PUNCT
ejpam-5345	343	10	(	(	PUNCT
ejpam-5345	343	11	q	q	NOUN
ejpam-5345	343	12	−	−	NOUN
ejpam-5345	343	13	1	1	NUM
ejpam-5345	343	14	2	2	NUM
ejpam-5345	343	15	+	+	CCONJ
ejpam-5345	343	16	1	1	NUM
ejpam-5345	343	17	2	2	NUM
ejpam-5345	343	18	[	[	X
ejpam-5345	343	19	3]q	3]q	NUM
ejpam-5345	343	20	)	)	PUNCT
ejpam-5345	343	21	−b	−b	NOUN
ejpam-5345	343	22	(	(	PUNCT
ejpam-5345	343	23	s	s	PROPN
ejpam-5345	343	24	,	,	PUNCT
ejpam-5345	343	25	q	q	NOUN
ejpam-5345	343	26	,	,	PUNCT
ejpam-5345	343	27	y	y	NOUN
ejpam-5345	343	28	)	)	PUNCT
ejpam-5345	343	29	}	}	PUNCT
ejpam-5345	343	30	∣∣∣	∣∣∣	NOUN
ejpam-5345	343	31	and	and	CCONJ
ejpam-5345	343	32	|d3|	|d3|	ADJ
ejpam-5345	343	33	≤	≤	NOUN
ejpam-5345	343	34	(	(	PUNCT
ejpam-5345	343	35	by)2	by)2	NOUN
ejpam-5345	343	36	[	[	X
ejpam-5345	343	37	2]2kq	2]2kq	NUM
ejpam-5345	343	38	ψ2(s	ψ2(s	NOUN
ejpam-5345	343	39	)	)	PUNCT
ejpam-5345	343	40	(	(	PUNCT
ejpam-5345	343	41	q	q	NOUN
ejpam-5345	343	42	−	−	NOUN
ejpam-5345	343	43	1	1	NUM
ejpam-5345	343	44	2	2	NUM
ejpam-5345	343	45	+	+	CCONJ
ejpam-5345	343	46	1	1	NUM
ejpam-5345	343	47	2	2	NUM
ejpam-5345	344	1	[	[	X
ejpam-5345	344	2	2]q	2]q	NUM
ejpam-5345	344	3	µ	µ	X
ejpam-5345	344	4	)	)	PUNCT
ejpam-5345	344	5	2	2	NUM
ejpam-5345	344	6	+	+	CCONJ
ejpam-5345	344	7	|by|	|by|	PROPN
ejpam-5345	345	1	[	[	X
ejpam-5345	345	2	2]q	2]q	NUM
ejpam-5345	345	3	[	[	X
ejpam-5345	345	4	3	3	NUM
ejpam-5345	345	5	]	]	X
ejpam-5345	345	6	k	k	PROPN
ejpam-5345	345	7	q	q	X
ejpam-5345	345	8	ψ(s	ψ(s	PROPN
ejpam-5345	345	9	)	)	PUNCT
ejpam-5345	345	10	(	(	PUNCT
ejpam-5345	345	11	q	q	NOUN
ejpam-5345	345	12	−	−	NOUN
ejpam-5345	345	13	1	1	NUM
ejpam-5345	345	14	2	2	NUM
ejpam-5345	345	15	+	+	CCONJ
ejpam-5345	345	16	1	1	NUM
ejpam-5345	345	17	2	2	NUM
ejpam-5345	345	18	[	[	X
ejpam-5345	345	19	3]q	3]q	NUM
ejpam-5345	345	20	)	)	PUNCT
ejpam-5345	345	21	,	,	PUNCT
ejpam-5345	345	22	where	where	SCONJ
ejpam-5345	345	23	b	b	X
ejpam-5345	345	24	(	(	PUNCT
ejpam-5345	345	25	s	s	PROPN
ejpam-5345	345	26	,	,	PUNCT
ejpam-5345	345	27	q	q	NOUN
ejpam-5345	345	28	,	,	PUNCT
ejpam-5345	345	29	y	y	NOUN
ejpam-5345	345	30	)	)	PUNCT
ejpam-5345	345	31	=	=	PUNCT
ejpam-5345	346	1	[	[	X
ejpam-5345	346	2	2]2kq	2]2kq	NUM
ejpam-5345	346	3	ψ2(s	ψ2(s	NOUN
ejpam-5345	346	4	)	)	PUNCT
ejpam-5345	346	5	(	(	PUNCT
ejpam-5345	346	6	q	q	NOUN
ejpam-5345	346	7	−	−	NOUN
ejpam-5345	346	8	1	1	NUM
ejpam-5345	346	9	2	2	NUM
ejpam-5345	346	10	+	+	CCONJ
ejpam-5345	346	11	1	1	NUM
ejpam-5345	346	12	2	2	NUM
ejpam-5345	346	13	[	[	X
ejpam-5345	346	14	2]q	2]q	NUM
ejpam-5345	346	15	)	)	PUNCT
ejpam-5345	346	16	{	{	PUNCT
ejpam-5345	346	17	3	3	NUM
ejpam-5345	346	18	2	2	NUM
ejpam-5345	346	19	(	(	PUNCT
ejpam-5345	346	20	υ2	υ2	PROPN
ejpam-5345	346	21	(	(	PUNCT
ejpam-5345	346	22	y	y	NOUN
ejpam-5345	346	23	)	)	PUNCT
ejpam-5345	346	24	)	)	PUNCT
ejpam-5345	346	25	2	2	NUM
ejpam-5345	347	1	+	+	SYM
ejpam-5345	347	2	υ3(y	υ3(y	X
ejpam-5345	347	3	)	)	PUNCT
ejpam-5345	347	4	(	(	PUNCT
ejpam-5345	347	5	q	q	NOUN
ejpam-5345	347	6	−	−	NOUN
ejpam-5345	347	7	1	1	NUM
ejpam-5345	347	8	2	2	NUM
ejpam-5345	347	9	+	+	CCONJ
ejpam-5345	347	10	1	1	NUM
ejpam-5345	347	11	2	2	NUM
ejpam-5345	347	12	[	[	X
ejpam-5345	347	13	2]q	2]q	NUM
ejpam-5345	347	14	)	)	PUNCT
ejpam-5345	347	15	}	}	PUNCT
ejpam-5345	347	16	.	.	PUNCT
ejpam-5345	348	1	for	for	ADP
ejpam-5345	348	2	δ	δ	PROPN
ejpam-5345	348	3	∈	∈	PROPN
ejpam-5345	348	4	r	r	NOUN
ejpam-5345	348	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	348	6	−	−	PROPN
ejpam-5345	348	7	δd22	δd22	PROPN
ejpam-5345	348	8	∣∣	∣∣	NUM
ejpam-5345	348	9	≤	≤	NUM
ejpam-5345	348	10			PUNCT
ejpam-5345	348	11	|by|	|by|	PROPN
ejpam-5345	349	1	[	[	X
ejpam-5345	349	2	2]q	2]q	NUM
ejpam-5345	349	3	[	[	X
ejpam-5345	349	4	3	3	NUM
ejpam-5345	349	5	]	]	X
ejpam-5345	349	6	k	k	X
ejpam-5345	349	7	qψ(s)(q−	qψ(s)(q−	ADJ
ejpam-5345	349	8	1	1	NUM
ejpam-5345	349	9	2	2	NUM
ejpam-5345	349	10	+	+	CCONJ
ejpam-5345	349	11	1	1	NUM
ejpam-5345	349	12	2	2	NUM
ejpam-5345	349	13	[	[	X
ejpam-5345	349	14	3]q	3]q	NUM
ejpam-5345	349	15	)	)	PUNCT
ejpam-5345	349	16	,	,	PUNCT
ejpam-5345	349	17	|1−	|1−	INTJ
ejpam-5345	349	18	δ|	δ|	ADJ
ejpam-5345	349	19	≤	≤	NUM
ejpam-5345	349	20	j1	j1	PROPN
ejpam-5345	349	21	,	,	PUNCT
ejpam-5345	349	22	|by|3|1−δ|	|by|3|1−δ|	NOUN
ejpam-5345	349	23	|{(υ2(y	|{(υ2(y	PROPN
ejpam-5345	349	24	)	)	PUNCT
ejpam-5345	349	25	)	)	PUNCT
ejpam-5345	350	1	2[2]q	2[2]q	NUM
ejpam-5345	351	1	[	[	X
ejpam-5345	351	2	3	3	NUM
ejpam-5345	351	3	]	]	PUNCT
ejpam-5345	351	4	k	k	X
ejpam-5345	351	5	qψ(s)(q−	qψ(s)(q−	ADJ
ejpam-5345	351	6	1	1	NUM
ejpam-5345	351	7	2	2	NUM
ejpam-5345	351	8	+	+	CCONJ
ejpam-5345	351	9	1	1	NUM
ejpam-5345	351	10	2	2	NUM
ejpam-5345	351	11	[	[	X
ejpam-5345	351	12	3]q)−b(s	3]q)−b(s	NUM
ejpam-5345	351	13	,	,	PUNCT
ejpam-5345	351	14	q	q	NOUN
ejpam-5345	351	15	,	,	PUNCT
ejpam-5345	351	16	y)}|	y)}|	PROPN
ejpam-5345	351	17	,	,	PUNCT
ejpam-5345	351	18	|1−	|1−	VERB
ejpam-5345	351	19	δ|	δ|	ADJ
ejpam-5345	351	20	≥	≥	NUM
ejpam-5345	351	21	j1	j1	PROPN
ejpam-5345	351	22	,	,	PUNCT
ejpam-5345	351	23	where	where	SCONJ
ejpam-5345	351	24	j1	j1	PROPN
ejpam-5345	351	25	=	=	PUNCT
ejpam-5345	351	26	∣∣∣{[2]q	∣∣∣{[2]q	PROPN
ejpam-5345	351	27	[	[	X
ejpam-5345	351	28	3]kq	3]kq	NUM
ejpam-5345	351	29	ψ(s	ψ(s	NUM
ejpam-5345	351	30	)	)	PUNCT
ejpam-5345	351	31	(	(	PUNCT
ejpam-5345	351	32	q	q	NOUN
ejpam-5345	351	33	−	−	NOUN
ejpam-5345	351	34	1	1	NUM
ejpam-5345	351	35	2	2	NUM
ejpam-5345	351	36	+	+	CCONJ
ejpam-5345	351	37	1	1	NUM
ejpam-5345	351	38	2	2	NUM
ejpam-5345	351	39	[	[	X
ejpam-5345	351	40	3]q	3]q	NUM
ejpam-5345	351	41	)	)	PUNCT
ejpam-5345	351	42	(	(	PUNCT
ejpam-5345	351	43	υ2(y	υ2(y	PROPN
ejpam-5345	351	44	)	)	PUNCT
ejpam-5345	351	45	)	)	PUNCT
ejpam-5345	351	46	2	2	NUM
ejpam-5345	351	47	−b	−b	NOUN
ejpam-5345	351	48	(	(	PUNCT
ejpam-5345	351	49	s	s	X
ejpam-5345	351	50	,	,	PUNCT
ejpam-5345	351	51	q	q	NOUN
ejpam-5345	351	52	,	,	PUNCT
ejpam-5345	351	53	y	y	NOUN
ejpam-5345	351	54	)	)	PUNCT
ejpam-5345	351	55	}	}	PUNCT
ejpam-5345	351	56	∣∣∣	∣∣∣	NOUN
ejpam-5345	352	1	[	[	X
ejpam-5345	352	2	2]q	2]q	NUM
ejpam-5345	352	3	[	[	X
ejpam-5345	352	4	3	3	NUM
ejpam-5345	352	5	]	]	X
ejpam-5345	352	6	k	k	PROPN
ejpam-5345	352	7	q	q	X
ejpam-5345	352	8	ψ(s	ψ(s	PROPN
ejpam-5345	352	9	)	)	PUNCT
ejpam-5345	352	10	(	(	PUNCT
ejpam-5345	352	11	q	q	NOUN
ejpam-5345	352	12	−	−	NOUN
ejpam-5345	352	13	1	1	NUM
ejpam-5345	352	14	2	2	NUM
ejpam-5345	352	15	+	+	CCONJ
ejpam-5345	352	16	1	1	NUM
ejpam-5345	352	17	2	2	NUM
ejpam-5345	352	18	[	[	X
ejpam-5345	352	19	3]q	3]q	NUM
ejpam-5345	352	20	)	)	PUNCT
ejpam-5345	352	21	(	(	PUNCT
ejpam-5345	352	22	υ2(y	υ2(y	NOUN
ejpam-5345	352	23	)	)	PUNCT
ejpam-5345	352	24	)	)	PUNCT
ejpam-5345	352	25	2	2	NUM
ejpam-5345	352	26	.	.	PUNCT
ejpam-5345	353	1	n.	n.	PROPN
ejpam-5345	353	2	k.	k.	PROPN
ejpam-5345	353	3	mishra	mishra	PROPN
ejpam-5345	353	4	,	,	PUNCT
ejpam-5345	353	5	m.	m.	PROPN
ejpam-5345	353	6	f.	f.	PROPN
ejpam-5345	353	7	khan	khan	PROPN
ejpam-5345	353	8	,	,	PUNCT
ejpam-5345	353	9	s.	s.	PROPN
ejpam-5345	353	10	a.	a.	PROPN
ejpam-5345	353	11	lone	lone	PROPN
ejpam-5345	353	12	/	/	SYM
ejpam-5345	353	13	eur	eur	PROPN
ejpam-5345	353	14	.	.	PUNCT
ejpam-5345	354	1	j.	j.	PROPN
ejpam-5345	354	2	pure	pure	PROPN
ejpam-5345	354	3	appl	appl	PROPN
ejpam-5345	354	4	.	.	PROPN
ejpam-5345	354	5	math	math	PROPN
ejpam-5345	354	6	,	,	PUNCT
ejpam-5345	354	7	17	17	NUM
ejpam-5345	354	8	(	(	PUNCT
ejpam-5345	354	9	4	4	NUM
ejpam-5345	354	10	)	)	PUNCT
ejpam-5345	354	11	(	(	PUNCT
ejpam-5345	354	12	2024	2024	NUM
ejpam-5345	354	13	)	)	PUNCT
ejpam-5345	354	14	,	,	PUNCT
ejpam-5345	354	15	2516	2516	NUM
ejpam-5345	354	16	-	-	SYM
ejpam-5345	354	17	2537	2537	NUM
ejpam-5345	354	18	2530	2530	NUM
ejpam-5345	354	19	corollary	corollary	NOUN
ejpam-5345	354	20	2	2	NUM
ejpam-5345	354	21	.	.	PUNCT
ejpam-5345	355	1	let	let	VERB
ejpam-5345	355	2	g(z	g(z	ADJ
ejpam-5345	355	3	)	)	PUNCT
ejpam-5345	355	4	∈	∈	PROPN
ejpam-5345	355	5	kς(y	kς(y	PROPN
ejpam-5345	355	6	,	,	PUNCT
ejpam-5345	355	7	k	k	NOUN
ejpam-5345	355	8	,	,	PUNCT
ejpam-5345	355	9	q	q	INTJ
ejpam-5345	355	10	,	,	PUNCT
ejpam-5345	355	11	ψ(s	ψ(s	PROPN
ejpam-5345	355	12	)	)	PUNCT
ejpam-5345	355	13	)	)	PUNCT
ejpam-5345	355	14	.	.	PUNCT
ejpam-5345	356	1	then	then	ADV
ejpam-5345	356	2	|d2|	|d2|	VERB
ejpam-5345	356	3	≤	≤	ADV
ejpam-5345	356	4	|by|	|by|	PROPN
ejpam-5345	356	5	√	√	NUM
ejpam-5345	356	6	|by|√∣∣∣{(υ2	|by|√∣∣∣{(υ2	PUNCT
ejpam-5345	356	7	(	(	PUNCT
ejpam-5345	356	8	y	y	NOUN
ejpam-5345	356	9	)	)	PUNCT
ejpam-5345	356	10	)	)	PUNCT
ejpam-5345	356	11	2	2	NUM
ejpam-5345	357	1	[	[	X
ejpam-5345	357	2	2]q	2]q	NUM
ejpam-5345	357	3	[	[	X
ejpam-5345	357	4	3	3	NUM
ejpam-5345	357	5	]	]	X
ejpam-5345	357	6	k	k	PROPN
ejpam-5345	357	7	q	q	X
ejpam-5345	357	8	ψ(s	ψ(s	PROPN
ejpam-5345	357	9	)	)	PUNCT
ejpam-5345	357	10	(	(	PUNCT
ejpam-5345	357	11	q	q	NOUN
ejpam-5345	358	1	+	+	NUM
ejpam-5345	358	2	1	1	NUM
ejpam-5345	358	3	2	2	NUM
ejpam-5345	358	4	[	[	X
ejpam-5345	358	5	3]q	3]q	NUM
ejpam-5345	358	6	µ	µ	X
ejpam-5345	358	7	)	)	PUNCT
ejpam-5345	358	8	−b1	−b1	PROPN
ejpam-5345	358	9	(	(	PUNCT
ejpam-5345	358	10	s	s	PROPN
ejpam-5345	358	11	,	,	PUNCT
ejpam-5345	358	12	q	q	NOUN
ejpam-5345	358	13	,	,	PUNCT
ejpam-5345	358	14	y	y	NOUN
ejpam-5345	358	15	)	)	PUNCT
ejpam-5345	358	16	}	}	PUNCT
ejpam-5345	358	17	∣∣∣	∣∣∣	ADJ
ejpam-5345	358	18	,	,	PUNCT
ejpam-5345	358	19	|d3|	|d3|	NOUN
ejpam-5345	358	20	≤	≤	NUM
ejpam-5345	358	21	(	(	PUNCT
ejpam-5345	358	22	by)2	by)2	NOUN
ejpam-5345	358	23	[	[	X
ejpam-5345	358	24	2]2kq	2]2kq	NUM
ejpam-5345	358	25	ψ2(s	ψ2(s	NOUN
ejpam-5345	358	26	)	)	PUNCT
ejpam-5345	358	27	(	(	PUNCT
ejpam-5345	358	28	q	q	NOUN
ejpam-5345	359	1	+	+	NUM
ejpam-5345	359	2	1	1	NUM
ejpam-5345	359	3	2	2	NUM
ejpam-5345	359	4	[	[	X
ejpam-5345	359	5	2]q	2]q	NUM
ejpam-5345	359	6	)	)	PUNCT
ejpam-5345	359	7	2	2	NUM
ejpam-5345	360	1	+	+	CCONJ
ejpam-5345	360	2	|by|	|by|	PROPN
ejpam-5345	361	1	[	[	X
ejpam-5345	361	2	2]q	2]q	NUM
ejpam-5345	361	3	[	[	X
ejpam-5345	361	4	3	3	NUM
ejpam-5345	361	5	]	]	X
ejpam-5345	361	6	k	k	PROPN
ejpam-5345	361	7	q	q	X
ejpam-5345	361	8	ψ(s	ψ(s	PROPN
ejpam-5345	361	9	)	)	PUNCT
ejpam-5345	361	10	(	(	PUNCT
ejpam-5345	361	11	q	q	NOUN
ejpam-5345	361	12	+	+	NUM
ejpam-5345	361	13	1	1	NUM
ejpam-5345	361	14	2	2	NUM
ejpam-5345	361	15	[	[	X
ejpam-5345	361	16	3]q	3]q	NUM
ejpam-5345	361	17	)	)	PUNCT
ejpam-5345	361	18	,	,	PUNCT
ejpam-5345	361	19	where	where	SCONJ
ejpam-5345	361	20	b1	b1	NOUN
ejpam-5345	361	21	(	(	PUNCT
ejpam-5345	361	22	s	s	PROPN
ejpam-5345	361	23	,	,	PUNCT
ejpam-5345	361	24	q	q	NOUN
ejpam-5345	361	25	,	,	PUNCT
ejpam-5345	361	26	y	y	NOUN
ejpam-5345	361	27	)	)	PUNCT
ejpam-5345	361	28	=	=	PUNCT
ejpam-5345	362	1	[	[	X
ejpam-5345	362	2	2]2kq	2]2kq	NUM
ejpam-5345	362	3	ψ2(s	ψ2(s	NOUN
ejpam-5345	362	4	)	)	PUNCT
ejpam-5345	362	5	(	(	PUNCT
ejpam-5345	362	6	q	q	NOUN
ejpam-5345	363	1	+	+	NUM
ejpam-5345	363	2	1	1	NUM
ejpam-5345	363	3	2	2	NUM
ejpam-5345	363	4	[	[	X
ejpam-5345	363	5	2]q	2]q	NUM
ejpam-5345	363	6	)	)	PUNCT
ejpam-5345	363	7	{	{	PUNCT
ejpam-5345	363	8	(	(	PUNCT
ejpam-5345	363	9	υ2	υ2	PROPN
ejpam-5345	363	10	(	(	PUNCT
ejpam-5345	363	11	y	y	NOUN
ejpam-5345	363	12	)	)	PUNCT
ejpam-5345	363	13	)	)	PUNCT
ejpam-5345	363	14	2	2	NUM
ejpam-5345	363	15	+	+	SYM
ejpam-5345	363	16	υ3(y	υ3(y	X
ejpam-5345	363	17	)	)	PUNCT
ejpam-5345	363	18	(	(	PUNCT
ejpam-5345	363	19	q	q	NOUN
ejpam-5345	363	20	+	+	NUM
ejpam-5345	363	21	1	1	NUM
ejpam-5345	363	22	2	2	NUM
ejpam-5345	363	23	[	[	X
ejpam-5345	363	24	2]q	2]q	NUM
ejpam-5345	363	25	)	)	PUNCT
ejpam-5345	363	26	}	}	PUNCT
ejpam-5345	363	27	.	.	PUNCT
ejpam-5345	364	1	for	for	ADP
ejpam-5345	364	2	δ	δ	PROPN
ejpam-5345	364	3	∈	∈	PROPN
ejpam-5345	364	4	r	r	NOUN
ejpam-5345	364	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	364	6	−	−	PROPN
ejpam-5345	364	7	δd22	δd22	PROPN
ejpam-5345	364	8	∣∣	∣∣	NUM
ejpam-5345	364	9	≤	≤	NUM
ejpam-5345	364	10			PUNCT
ejpam-5345	364	11	|by|	|by|	PROPN
ejpam-5345	365	1	[	[	X
ejpam-5345	365	2	2]q	2]q	NUM
ejpam-5345	365	3	[	[	X
ejpam-5345	365	4	3	3	NUM
ejpam-5345	365	5	]	]	X
ejpam-5345	365	6	k	k	PROPN
ejpam-5345	365	7	qψ(s)(q+	qψ(s)(q+	PROPN
ejpam-5345	365	8	1	1	NUM
ejpam-5345	365	9	2	2	NUM
ejpam-5345	365	10	[	[	X
ejpam-5345	365	11	3]q	3]q	NUM
ejpam-5345	365	12	)	)	PUNCT
ejpam-5345	365	13	,	,	PUNCT
ejpam-5345	365	14	|1−	|1−	INTJ
ejpam-5345	365	15	δ|	δ|	ADJ
ejpam-5345	365	16	≤	≤	NUM
ejpam-5345	365	17	j2	j2	PROPN
ejpam-5345	365	18	|by|3|1−δ|	|by|3|1−δ|	PROPN
ejpam-5345	365	19	|{(υ2(y	|{(υ2(y	PROPN
ejpam-5345	365	20	)	)	PUNCT
ejpam-5345	365	21	)	)	PUNCT
ejpam-5345	366	1	2[2]q	2[2]q	NUM
ejpam-5345	367	1	[	[	X
ejpam-5345	367	2	3	3	NUM
ejpam-5345	367	3	]	]	X
ejpam-5345	367	4	k	k	PROPN
ejpam-5345	367	5	qψ(s)(q+	qψ(s)(q+	PROPN
ejpam-5345	367	6	1	1	NUM
ejpam-5345	367	7	2	2	NUM
ejpam-5345	368	1	[	[	X
ejpam-5345	368	2	3]q)−b1(s	3]q)−b1(s	NUM
ejpam-5345	368	3	,	,	PUNCT
ejpam-5345	368	4	q	q	NOUN
ejpam-5345	368	5	,	,	PUNCT
ejpam-5345	368	6	y)}|	y)}|	PROPN
ejpam-5345	368	7	,	,	PUNCT
ejpam-5345	368	8	|1−	|1−	VERB
ejpam-5345	368	9	δ|	δ|	PROPN
ejpam-5345	368	10	≥	≥	NUM
ejpam-5345	368	11	j2	j2	PROPN
ejpam-5345	368	12	,	,	PUNCT
ejpam-5345	368	13	where	where	SCONJ
ejpam-5345	368	14	j2	j2	PROPN
ejpam-5345	368	15	=	=	SYM
ejpam-5345	368	16	∣∣∣{[2]q	∣∣∣{[2]q	PROPN
ejpam-5345	368	17	[	[	X
ejpam-5345	368	18	3]kq	3]kq	NUM
ejpam-5345	368	19	ψ(s	ψ(s	NUM
ejpam-5345	368	20	)	)	PUNCT
ejpam-5345	368	21	(	(	PUNCT
ejpam-5345	368	22	q	q	NOUN
ejpam-5345	369	1	+	+	NUM
ejpam-5345	369	2	1	1	NUM
ejpam-5345	369	3	2	2	NUM
ejpam-5345	369	4	[	[	X
ejpam-5345	369	5	3]q	3]q	NUM
ejpam-5345	369	6	)	)	PUNCT
ejpam-5345	369	7	(	(	PUNCT
ejpam-5345	369	8	υ2(y	υ2(y	PROPN
ejpam-5345	369	9	)	)	PUNCT
ejpam-5345	369	10	)	)	PUNCT
ejpam-5345	369	11	2	2	NUM
ejpam-5345	369	12	−b1	−b1	PROPN
ejpam-5345	369	13	(	(	PUNCT
ejpam-5345	369	14	s	s	PROPN
ejpam-5345	369	15	,	,	PUNCT
ejpam-5345	369	16	q	q	NOUN
ejpam-5345	369	17	,	,	PUNCT
ejpam-5345	369	18	y	y	NOUN
ejpam-5345	369	19	)	)	PUNCT
ejpam-5345	369	20	}	}	PUNCT
ejpam-5345	369	21	∣∣∣	∣∣∣	NOUN
ejpam-5345	370	1	[	[	X
ejpam-5345	370	2	2]q	2]q	NUM
ejpam-5345	370	3	[	[	X
ejpam-5345	370	4	3	3	NUM
ejpam-5345	370	5	]	]	X
ejpam-5345	370	6	k	k	PROPN
ejpam-5345	370	7	q	q	X
ejpam-5345	370	8	ψ(s	ψ(s	PROPN
ejpam-5345	370	9	)	)	PUNCT
ejpam-5345	370	10	(	(	PUNCT
ejpam-5345	370	11	q	q	NOUN
ejpam-5345	370	12	+	+	NUM
ejpam-5345	370	13	1	1	NUM
ejpam-5345	370	14	2	2	NUM
ejpam-5345	371	1	[	[	X
ejpam-5345	371	2	3]q	3]q	NUM
ejpam-5345	371	3	µ	µ	NOUN
ejpam-5345	371	4	)	)	PUNCT
ejpam-5345	371	5	(	(	PUNCT
ejpam-5345	371	6	υ2(y	υ2(y	PROPN
ejpam-5345	371	7	)	)	PUNCT
ejpam-5345	371	8	)	)	PUNCT
ejpam-5345	371	9	2	2	X
ejpam-5345	371	10	.	.	PUNCT
ejpam-5345	372	1	corollary	corollary	ADJ
ejpam-5345	372	2	3	3	NUM
ejpam-5345	372	3	.	.	PUNCT
ejpam-5345	373	1	let	let	VERB
ejpam-5345	373	2	g(z	g(z	ADJ
ejpam-5345	373	3	)	)	PUNCT
ejpam-5345	373	4	∈	∈	PROPN
ejpam-5345	373	5	lς(y	lς(y	PROPN
ejpam-5345	373	6	,	,	PUNCT
ejpam-5345	373	7	k	k	NOUN
ejpam-5345	373	8	,	,	PUNCT
ejpam-5345	373	9	q	q	INTJ
ejpam-5345	373	10	,	,	PUNCT
ejpam-5345	373	11	ψ(s	ψ(s	PROPN
ejpam-5345	373	12	)	)	PUNCT
ejpam-5345	373	13	)	)	PUNCT
ejpam-5345	373	14	.	.	PUNCT
ejpam-5345	374	1	then	then	ADV
ejpam-5345	374	2	|d2|	|d2|	VERB
ejpam-5345	374	3	≤	≤	ADV
ejpam-5345	374	4	|by|	|by|	PROPN
ejpam-5345	374	5	√	√	NUM
ejpam-5345	374	6	|by|√∣∣∣{(υ2	|by|√∣∣∣{(υ2	PUNCT
ejpam-5345	374	7	(	(	PUNCT
ejpam-5345	374	8	y	y	NOUN
ejpam-5345	374	9	)	)	PUNCT
ejpam-5345	374	10	)	)	PUNCT
ejpam-5345	374	11	2	2	NUM
ejpam-5345	375	1	[	[	X
ejpam-5345	375	2	2]q	2]q	NUM
ejpam-5345	375	3	[	[	X
ejpam-5345	375	4	3	3	NUM
ejpam-5345	375	5	]	]	X
ejpam-5345	375	6	k	k	PROPN
ejpam-5345	375	7	q	q	X
ejpam-5345	375	8	ψ(s	ψ(s	PROPN
ejpam-5345	375	9	)	)	PUNCT
ejpam-5345	375	10	(	(	PUNCT
ejpam-5345	375	11	q	q	NOUN
ejpam-5345	375	12	−	−	NOUN
ejpam-5345	375	13	1	1	NUM
ejpam-5345	375	14	2	2	NUM
ejpam-5345	375	15	+	+	CCONJ
ejpam-5345	375	16	[	[	X
ejpam-5345	375	17	3]q	3]q	NUM
ejpam-5345	375	18	)	)	PUNCT
ejpam-5345	375	19	−b2	−b2	PROPN
ejpam-5345	375	20	(	(	PUNCT
ejpam-5345	375	21	s	s	PROPN
ejpam-5345	375	22	,	,	PUNCT
ejpam-5345	375	23	q	q	NOUN
ejpam-5345	375	24	,	,	PUNCT
ejpam-5345	375	25	y	y	NOUN
ejpam-5345	375	26	)	)	PUNCT
ejpam-5345	375	27	}	}	PUNCT
ejpam-5345	375	28	∣∣∣	∣∣∣	ADJ
ejpam-5345	375	29	,	,	PUNCT
ejpam-5345	375	30	|d3|	|d3|	NOUN
ejpam-5345	375	31	≤	≤	NUM
ejpam-5345	375	32	(	(	PUNCT
ejpam-5345	375	33	by)2	by)2	NOUN
ejpam-5345	375	34	[	[	X
ejpam-5345	375	35	2]2kq	2]2kq	NUM
ejpam-5345	375	36	ψ2(s	ψ2(s	NOUN
ejpam-5345	375	37	)	)	PUNCT
ejpam-5345	375	38	(	(	PUNCT
ejpam-5345	375	39	q	q	NOUN
ejpam-5345	375	40	−	−	NOUN
ejpam-5345	375	41	1	1	NUM
ejpam-5345	375	42	2	2	NUM
ejpam-5345	375	43	+	+	CCONJ
ejpam-5345	375	44	[	[	X
ejpam-5345	375	45	2]q	2]q	NUM
ejpam-5345	375	46	)	)	PUNCT
ejpam-5345	375	47	2	2	NUM
ejpam-5345	375	48	+	+	CCONJ
ejpam-5345	375	49	|by|	|by|	PROPN
ejpam-5345	376	1	[	[	X
ejpam-5345	376	2	2]q	2]q	NUM
ejpam-5345	376	3	[	[	X
ejpam-5345	376	4	3	3	NUM
ejpam-5345	376	5	]	]	X
ejpam-5345	376	6	k	k	PROPN
ejpam-5345	376	7	q	q	X
ejpam-5345	376	8	ψ(s	ψ(s	PROPN
ejpam-5345	376	9	)	)	PUNCT
ejpam-5345	376	10	(	(	PUNCT
ejpam-5345	376	11	q	q	NOUN
ejpam-5345	376	12	−	−	NOUN
ejpam-5345	376	13	1	1	NUM
ejpam-5345	376	14	2	2	NUM
ejpam-5345	376	15	+	+	CCONJ
ejpam-5345	376	16	[	[	X
ejpam-5345	376	17	3]q	3]q	NUM
ejpam-5345	376	18	)	)	PUNCT
ejpam-5345	376	19	,	,	PUNCT
ejpam-5345	376	20	where	where	SCONJ
ejpam-5345	376	21	b2	b2	NOUN
ejpam-5345	376	22	(	(	PUNCT
ejpam-5345	376	23	s	s	PROPN
ejpam-5345	376	24	,	,	PUNCT
ejpam-5345	376	25	q	q	NOUN
ejpam-5345	376	26	,	,	PUNCT
ejpam-5345	376	27	y	y	NOUN
ejpam-5345	376	28	)	)	PUNCT
ejpam-5345	376	29	=	=	PUNCT
ejpam-5345	377	1	[	[	X
ejpam-5345	377	2	2]2kq	2]2kq	NUM
ejpam-5345	377	3	ψ2(s)(q	ψ2(s)(q	NOUN
ejpam-5345	377	4	−	−	NOUN
ejpam-5345	377	5	1	1	NUM
ejpam-5345	377	6	2	2	NUM
ejpam-5345	377	7	+	+	CCONJ
ejpam-5345	378	1	[	[	X
ejpam-5345	378	2	2]q	2]q	NUM
ejpam-5345	378	3	)	)	PUNCT
ejpam-5345	378	4	{	{	PUNCT
ejpam-5345	378	5	3	3	NUM
ejpam-5345	378	6	2	2	NUM
ejpam-5345	378	7	(	(	PUNCT
ejpam-5345	378	8	υ2	υ2	PROPN
ejpam-5345	378	9	(	(	PUNCT
ejpam-5345	378	10	y	y	NOUN
ejpam-5345	378	11	)	)	PUNCT
ejpam-5345	378	12	)	)	PUNCT
ejpam-5345	378	13	2	2	NUM
ejpam-5345	379	1	+	+	NOUN
ejpam-5345	379	2	υ3(y)(q	υ3(y)(q	NOUN
ejpam-5345	379	3	−	−	NUM
ejpam-5345	379	4	1	1	NUM
ejpam-5345	379	5	2	2	NUM
ejpam-5345	379	6	+	+	CCONJ
ejpam-5345	379	7	[	[	X
ejpam-5345	379	8	2]q	2]q	NUM
ejpam-5345	379	9	)	)	PUNCT
ejpam-5345	379	10	}	}	PUNCT
ejpam-5345	379	11	.	.	PUNCT
ejpam-5345	380	1	for	for	ADP
ejpam-5345	380	2	δ	δ	PROPN
ejpam-5345	380	3	∈	∈	PROPN
ejpam-5345	380	4	r	r	NOUN
ejpam-5345	380	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	380	6	−	−	PROPN
ejpam-5345	380	7	δd22	δd22	PROPN
ejpam-5345	380	8	∣∣	∣∣	NUM
ejpam-5345	380	9	≤	≤	NUM
ejpam-5345	380	10			PUNCT
ejpam-5345	380	11	|by|	|by|	PROPN
ejpam-5345	381	1	[	[	X
ejpam-5345	381	2	2]q	2]q	NUM
ejpam-5345	381	3	[	[	X
ejpam-5345	381	4	3	3	NUM
ejpam-5345	381	5	]	]	X
ejpam-5345	381	6	k	k	X
ejpam-5345	381	7	qψ(s)(q−	qψ(s)(q−	ADJ
ejpam-5345	381	8	1	1	NUM
ejpam-5345	381	9	2	2	NUM
ejpam-5345	381	10	+	+	NOUN
ejpam-5345	381	11	[	[	X
ejpam-5345	381	12	3]q	3]q	NUM
ejpam-5345	381	13	)	)	PUNCT
ejpam-5345	381	14	,	,	PUNCT
ejpam-5345	381	15	|1−	|1−	INTJ
ejpam-5345	381	16	δ|	δ|	ADJ
ejpam-5345	381	17	≤	≤	PROPN
ejpam-5345	381	18	j3	j3	PROPN
ejpam-5345	381	19	,	,	PUNCT
ejpam-5345	381	20	|by|3|1−δ|	|by|3|1−δ|	PROPN
ejpam-5345	381	21	|{(υ2(y	|{(υ2(y	PROPN
ejpam-5345	381	22	)	)	PUNCT
ejpam-5345	381	23	)	)	PUNCT
ejpam-5345	382	1	2[2]q	2[2]q	NUM
ejpam-5345	383	1	[	[	X
ejpam-5345	383	2	3	3	NUM
ejpam-5345	383	3	]	]	PUNCT
ejpam-5345	383	4	k	k	X
ejpam-5345	383	5	qψ(s)(q−	qψ(s)(q−	ADJ
ejpam-5345	383	6	1	1	NUM
ejpam-5345	383	7	2	2	NUM
ejpam-5345	383	8	+	+	NOUN
ejpam-5345	383	9	[	[	X
ejpam-5345	383	10	3]q)−b2(s	3]q)−b2(s	NOUN
ejpam-5345	383	11	,	,	PUNCT
ejpam-5345	383	12	q	q	NOUN
ejpam-5345	383	13	,	,	PUNCT
ejpam-5345	383	14	y)}|	y)}|	PROPN
ejpam-5345	383	15	,	,	PUNCT
ejpam-5345	383	16	|1−	|1−	VERB
ejpam-5345	383	17	δ|	δ|	PROPN
ejpam-5345	383	18	≥	≥	NUM
ejpam-5345	383	19	j3	j3	PROPN
ejpam-5345	383	20	,	,	PUNCT
ejpam-5345	383	21	where	where	SCONJ
ejpam-5345	383	22	j3	j3	PROPN
ejpam-5345	383	23	=	=	PUNCT
ejpam-5345	383	24	∣∣∣{[2]q	∣∣∣{[2]q	PROPN
ejpam-5345	383	25	[	[	X
ejpam-5345	383	26	3]kq	3]kq	NUM
ejpam-5345	383	27	ψ(s	ψ(s	NUM
ejpam-5345	383	28	)	)	PUNCT
ejpam-5345	383	29	(	(	PUNCT
ejpam-5345	383	30	q	q	NOUN
ejpam-5345	383	31	−	−	NOUN
ejpam-5345	383	32	1	1	NUM
ejpam-5345	383	33	2	2	NUM
ejpam-5345	383	34	+	+	CCONJ
ejpam-5345	383	35	[	[	X
ejpam-5345	383	36	3]q	3]q	NUM
ejpam-5345	383	37	)	)	PUNCT
ejpam-5345	383	38	(	(	PUNCT
ejpam-5345	383	39	υ2(y	υ2(y	NOUN
ejpam-5345	383	40	)	)	PUNCT
ejpam-5345	383	41	)	)	PUNCT
ejpam-5345	383	42	2	2	NUM
ejpam-5345	383	43	−b2	−b2	PROPN
ejpam-5345	383	44	(	(	PUNCT
ejpam-5345	383	45	s	s	PROPN
ejpam-5345	383	46	,	,	PUNCT
ejpam-5345	383	47	q	q	NOUN
ejpam-5345	383	48	,	,	PUNCT
ejpam-5345	383	49	y	y	NOUN
ejpam-5345	383	50	)	)	PUNCT
ejpam-5345	383	51	}	}	PUNCT
ejpam-5345	383	52	∣∣∣	∣∣∣	NOUN
ejpam-5345	384	1	[	[	X
ejpam-5345	384	2	2]q	2]q	NUM
ejpam-5345	384	3	[	[	X
ejpam-5345	384	4	3	3	NUM
ejpam-5345	384	5	]	]	X
ejpam-5345	384	6	k	k	PROPN
ejpam-5345	384	7	q	q	X
ejpam-5345	384	8	ψ(s	ψ(s	PROPN
ejpam-5345	384	9	)	)	PUNCT
ejpam-5345	384	10	(	(	PUNCT
ejpam-5345	384	11	q	q	NOUN
ejpam-5345	384	12	−	−	NOUN
ejpam-5345	384	13	1	1	NUM
ejpam-5345	384	14	2	2	NUM
ejpam-5345	384	15	+	+	CCONJ
ejpam-5345	385	1	[	[	X
ejpam-5345	385	2	3]q	3]q	NUM
ejpam-5345	385	3	)	)	PUNCT
ejpam-5345	385	4	(	(	PUNCT
ejpam-5345	385	5	υ2(y	υ2(y	NOUN
ejpam-5345	385	6	)	)	PUNCT
ejpam-5345	385	7	)	)	PUNCT
ejpam-5345	385	8	2	2	NUM
ejpam-5345	385	9	.	.	PUNCT
ejpam-5345	386	1	n.	n.	PROPN
ejpam-5345	386	2	k.	k.	PROPN
ejpam-5345	386	3	mishra	mishra	PROPN
ejpam-5345	386	4	,	,	PUNCT
ejpam-5345	386	5	m.	m.	PROPN
ejpam-5345	386	6	f.	f.	PROPN
ejpam-5345	386	7	khan	khan	PROPN
ejpam-5345	386	8	,	,	PUNCT
ejpam-5345	386	9	s.	s.	PROPN
ejpam-5345	386	10	a.	a.	PROPN
ejpam-5345	386	11	lone	lone	PROPN
ejpam-5345	386	12	/	/	SYM
ejpam-5345	386	13	eur	eur	PROPN
ejpam-5345	386	14	.	.	PUNCT
ejpam-5345	387	1	j.	j.	PROPN
ejpam-5345	387	2	pure	pure	PROPN
ejpam-5345	387	3	appl	appl	PROPN
ejpam-5345	387	4	.	.	PROPN
ejpam-5345	387	5	math	math	PROPN
ejpam-5345	387	6	,	,	PUNCT
ejpam-5345	387	7	17	17	NUM
ejpam-5345	387	8	(	(	PUNCT
ejpam-5345	387	9	4	4	NUM
ejpam-5345	387	10	)	)	PUNCT
ejpam-5345	387	11	(	(	PUNCT
ejpam-5345	387	12	2024	2024	NUM
ejpam-5345	387	13	)	)	PUNCT
ejpam-5345	387	14	,	,	PUNCT
ejpam-5345	387	15	2516	2516	NUM
ejpam-5345	387	16	-	-	SYM
ejpam-5345	387	17	2537	2537	NUM
ejpam-5345	387	18	2531	2531	NUM
ejpam-5345	387	19	corollary	corollary	NOUN
ejpam-5345	387	20	4	4	NUM
ejpam-5345	387	21	.	.	PUNCT
ejpam-5345	388	1	let	let	VERB
ejpam-5345	388	2	g(z	g(z	PROPN
ejpam-5345	388	3	)	)	PUNCT
ejpam-5345	388	4	be	be	AUX
ejpam-5345	388	5	in	in	ADP
ejpam-5345	388	6	the	the	DET
ejpam-5345	388	7	family	family	NOUN
ejpam-5345	388	8	mς(y	mς(y	PROPN
ejpam-5345	388	9	,	,	PUNCT
ejpam-5345	388	10	µ	µ	NOUN
ejpam-5345	388	11	,	,	PUNCT
ejpam-5345	388	12	k	k	NOUN
ejpam-5345	388	13	,	,	PUNCT
ejpam-5345	388	14	ψ(s	ψ(s	PROPN
ejpam-5345	388	15	)	)	PUNCT
ejpam-5345	388	16	)	)	PUNCT
ejpam-5345	388	17	.	.	PUNCT
ejpam-5345	389	1	then	then	ADV
ejpam-5345	389	2	|d2|	|d2|	VERB
ejpam-5345	389	3	≤	≤	ADV
ejpam-5345	389	4	|by|	|by|	PROPN
ejpam-5345	389	5	√	√	NUM
ejpam-5345	389	6	|by|√∣∣∣{(υ2	|by|√∣∣∣{(υ2	PUNCT
ejpam-5345	389	7	(	(	PUNCT
ejpam-5345	389	8	y	y	NOUN
ejpam-5345	389	9	)	)	PUNCT
ejpam-5345	389	10	)	)	PUNCT
ejpam-5345	389	11	2	2	NUM
ejpam-5345	390	1	[	[	X
ejpam-5345	390	2	2]q	2]q	NUM
ejpam-5345	390	3	[	[	X
ejpam-5345	390	4	3	3	NUM
ejpam-5345	390	5	]	]	X
ejpam-5345	390	6	k	k	PROPN
ejpam-5345	390	7	q	q	X
ejpam-5345	390	8	ψ(s	ψ(s	PROPN
ejpam-5345	390	9	)	)	PUNCT
ejpam-5345	390	10	(	(	PUNCT
ejpam-5345	390	11	q	q	X
ejpam-5345	391	1	+	+	PUNCT
ejpam-5345	391	2	[	[	X
ejpam-5345	391	3	3]q	3]q	NUM
ejpam-5345	391	4	µ	µ	X
ejpam-5345	391	5	)	)	PUNCT
ejpam-5345	391	6	−b3	−b3	PROPN
ejpam-5345	391	7	(	(	PUNCT
ejpam-5345	391	8	s	s	PROPN
ejpam-5345	391	9	,	,	PUNCT
ejpam-5345	391	10	q	q	NOUN
ejpam-5345	391	11	,	,	PUNCT
ejpam-5345	391	12	y	y	NOUN
ejpam-5345	391	13	)	)	PUNCT
ejpam-5345	391	14	}	}	PUNCT
ejpam-5345	391	15	∣∣∣	∣∣∣	ADJ
ejpam-5345	391	16	,	,	PUNCT
ejpam-5345	391	17	|d3|	|d3|	NOUN
ejpam-5345	391	18	≤	≤	NUM
ejpam-5345	391	19	(	(	PUNCT
ejpam-5345	391	20	by)2	by)2	NOUN
ejpam-5345	391	21	[	[	X
ejpam-5345	391	22	2]2kq	2]2kq	NUM
ejpam-5345	391	23	ψ2(s	ψ2(s	NOUN
ejpam-5345	391	24	)	)	PUNCT
ejpam-5345	391	25	(	(	PUNCT
ejpam-5345	391	26	q	q	X
ejpam-5345	392	1	+	+	PUNCT
ejpam-5345	393	1	[	[	X
ejpam-5345	393	2	2]q	2]q	NUM
ejpam-5345	393	3	µ	µ	X
ejpam-5345	393	4	)	)	PUNCT
ejpam-5345	393	5	2	2	NUM
ejpam-5345	393	6	+	+	CCONJ
ejpam-5345	393	7	|by|	|by|	PROPN
ejpam-5345	394	1	[	[	X
ejpam-5345	394	2	2]q	2]q	NUM
ejpam-5345	394	3	[	[	X
ejpam-5345	394	4	3	3	NUM
ejpam-5345	394	5	]	]	X
ejpam-5345	394	6	k	k	PROPN
ejpam-5345	394	7	q	q	X
ejpam-5345	394	8	ψ(s	ψ(s	PROPN
ejpam-5345	394	9	)	)	PUNCT
ejpam-5345	394	10	(	(	PUNCT
ejpam-5345	394	11	q	q	X
ejpam-5345	395	1	+	+	PUNCT
ejpam-5345	395	2	[	[	X
ejpam-5345	395	3	3]q	3]q	NUM
ejpam-5345	395	4	µ	µ	NOUN
ejpam-5345	395	5	)	)	PUNCT
ejpam-5345	396	1	where	where	SCONJ
ejpam-5345	396	2	b3	b3	PROPN
ejpam-5345	396	3	(	(	PUNCT
ejpam-5345	396	4	s	s	PROPN
ejpam-5345	396	5	,	,	PUNCT
ejpam-5345	396	6	q	q	NOUN
ejpam-5345	396	7	,	,	PUNCT
ejpam-5345	396	8	y	y	NOUN
ejpam-5345	396	9	)	)	PUNCT
ejpam-5345	396	10	=	=	PUNCT
ejpam-5345	397	1	[	[	X
ejpam-5345	397	2	2]2kq	2]2kq	NUM
ejpam-5345	397	3	ψ2(s	ψ2(s	NOUN
ejpam-5345	397	4	)	)	PUNCT
ejpam-5345	397	5	(	(	PUNCT
ejpam-5345	397	6	q	q	X
ejpam-5345	398	1	+	+	PUNCT
ejpam-5345	398	2	[	[	X
ejpam-5345	398	3	2]q	2]q	NUM
ejpam-5345	398	4	µ	µ	NOUN
ejpam-5345	398	5	)	)	PUNCT
ejpam-5345	398	6	{	{	PUNCT
ejpam-5345	398	7	(	(	PUNCT
ejpam-5345	398	8	υ2	υ2	PROPN
ejpam-5345	398	9	(	(	PUNCT
ejpam-5345	398	10	y	y	NOUN
ejpam-5345	398	11	)	)	PUNCT
ejpam-5345	398	12	)	)	PUNCT
ejpam-5345	398	13	2	2	NUM
ejpam-5345	399	1	+	+	SYM
ejpam-5345	399	2	υ3(y	υ3(y	X
ejpam-5345	399	3	)	)	PUNCT
ejpam-5345	399	4	(	(	PUNCT
ejpam-5345	399	5	q	q	X
ejpam-5345	400	1	+	+	PUNCT
ejpam-5345	400	2	[	[	X
ejpam-5345	400	3	2]q	2]q	NUM
ejpam-5345	400	4	µ	µ	NOUN
ejpam-5345	400	5	)	)	PUNCT
ejpam-5345	400	6	}	}	PUNCT
ejpam-5345	400	7	.	.	PUNCT
ejpam-5345	401	1	for	for	ADP
ejpam-5345	401	2	δ	δ	PROPN
ejpam-5345	401	3	∈	∈	PROPN
ejpam-5345	401	4	r	r	NOUN
ejpam-5345	401	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	401	6	−	−	PROPN
ejpam-5345	401	7	δd22	δd22	PROPN
ejpam-5345	401	8	∣∣	∣∣	NUM
ejpam-5345	401	9	≤	≤	NUM
ejpam-5345	401	10			PUNCT
ejpam-5345	401	11	|by|	|by|	PROPN
ejpam-5345	401	12	[	[	X
ejpam-5345	401	13	2]q	2]q	NUM
ejpam-5345	401	14	[	[	X
ejpam-5345	401	15	3	3	NUM
ejpam-5345	401	16	]	]	X
ejpam-5345	401	17	k	k	PROPN
ejpam-5345	401	18	qψ(s)(q+[3]qµ	qψ(s)(q+[3]qµ	PROPN
ejpam-5345	401	19	)	)	PUNCT
ejpam-5345	401	20	,	,	PUNCT
ejpam-5345	401	21	|1−	|1−	INTJ
ejpam-5345	401	22	δ|	δ|	ADJ
ejpam-5345	401	23	≤	≤	PROPN
ejpam-5345	401	24	j4	j4	PROPN
ejpam-5345	401	25	,	,	PUNCT
ejpam-5345	401	26	|by|3|1−δ|	|by|3|1−δ|	PROPN
ejpam-5345	401	27	|{(υ2(y	|{(υ2(y	PROPN
ejpam-5345	401	28	)	)	PUNCT
ejpam-5345	401	29	)	)	PUNCT
ejpam-5345	402	1	2[2]q	2[2]q	NUM
ejpam-5345	402	2	[	[	X
ejpam-5345	402	3	3	3	NUM
ejpam-5345	402	4	]	]	X
ejpam-5345	402	5	k	k	PROPN
ejpam-5345	402	6	qψ(s)(q+[3]qµ)−b3(s	qψ(s)(q+[3]qµ)−b3(s	PROPN
ejpam-5345	402	7	,	,	PUNCT
ejpam-5345	402	8	q	q	NOUN
ejpam-5345	402	9	,	,	PUNCT
ejpam-5345	402	10	y)}|	y)}|	PROPN
ejpam-5345	402	11	,	,	PUNCT
ejpam-5345	402	12	|1−	|1−	VERB
ejpam-5345	402	13	δ|	δ|	PROPN
ejpam-5345	402	14	≥	≥	NUM
ejpam-5345	402	15	j4	j4	PROPN
ejpam-5345	402	16	,	,	PUNCT
ejpam-5345	402	17	where	where	SCONJ
ejpam-5345	402	18	j4	j4	PROPN
ejpam-5345	402	19	=	=	PUNCT
ejpam-5345	402	20	∣∣∣{[2]q	∣∣∣{[2]q	PROPN
ejpam-5345	402	21	[	[	X
ejpam-5345	402	22	3]kq	3]kq	NUM
ejpam-5345	402	23	ψ(s	ψ(s	NUM
ejpam-5345	402	24	)	)	PUNCT
ejpam-5345	402	25	(	(	PUNCT
ejpam-5345	402	26	q	q	X
ejpam-5345	403	1	+	+	PUNCT
ejpam-5345	403	2	[	[	X
ejpam-5345	403	3	3]q	3]q	NUM
ejpam-5345	403	4	µ	µ	NOUN
ejpam-5345	403	5	)	)	PUNCT
ejpam-5345	403	6	(	(	PUNCT
ejpam-5345	403	7	υ2(y	υ2(y	PROPN
ejpam-5345	403	8	)	)	PUNCT
ejpam-5345	403	9	)	)	PUNCT
ejpam-5345	404	1	2	2	NUM
ejpam-5345	404	2	−b3	−b3	NOUN
ejpam-5345	404	3	(	(	PUNCT
ejpam-5345	404	4	s	s	PROPN
ejpam-5345	404	5	,	,	PUNCT
ejpam-5345	404	6	q	q	NOUN
ejpam-5345	404	7	,	,	PUNCT
ejpam-5345	404	8	y	y	NOUN
ejpam-5345	404	9	)	)	PUNCT
ejpam-5345	404	10	}	}	PUNCT
ejpam-5345	404	11	∣∣∣	∣∣∣	NOUN
ejpam-5345	405	1	[	[	X
ejpam-5345	405	2	2]q	2]q	NUM
ejpam-5345	405	3	[	[	X
ejpam-5345	405	4	3	3	NUM
ejpam-5345	405	5	]	]	X
ejpam-5345	405	6	k	k	PROPN
ejpam-5345	405	7	q	q	X
ejpam-5345	405	8	ψ(s	ψ(s	PROPN
ejpam-5345	405	9	)	)	PUNCT
ejpam-5345	405	10	(	(	PUNCT
ejpam-5345	405	11	q	q	X
ejpam-5345	406	1	+	+	PUNCT
ejpam-5345	406	2	[	[	X
ejpam-5345	406	3	3]q	3]q	NUM
ejpam-5345	406	4	µ	µ	NOUN
ejpam-5345	406	5	)	)	PUNCT
ejpam-5345	406	6	.	.	PUNCT
ejpam-5345	407	1	corollary	corollary	ADJ
ejpam-5345	407	2	5	5	NUM
ejpam-5345	407	3	.	.	PUNCT
ejpam-5345	408	1	let	let	VERB
ejpam-5345	408	2	g(z	g(z	ADJ
ejpam-5345	408	3	)	)	PUNCT
ejpam-5345	408	4	∈	∈	PROPN
ejpam-5345	408	5	nς(y	nς(y	ADP
ejpam-5345	408	6	,	,	PUNCT
ejpam-5345	408	7	µ	µ	X
ejpam-5345	408	8	,	,	PUNCT
ejpam-5345	408	9	k	k	NOUN
ejpam-5345	408	10	,	,	PUNCT
ejpam-5345	408	11	q	q	INTJ
ejpam-5345	408	12	,	,	PUNCT
ejpam-5345	408	13	ψ(s	ψ(s	PROPN
ejpam-5345	408	14	)	)	PUNCT
ejpam-5345	408	15	)	)	PUNCT
ejpam-5345	408	16	.	.	PUNCT
ejpam-5345	409	1	then	then	ADV
ejpam-5345	409	2	|d2|	|d2|	VERB
ejpam-5345	409	3	≤	≤	ADJ
ejpam-5345	409	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	409	5	√	√	NUM
ejpam-5345	409	6	|b(y)|√∣∣∣(υ2	|b(y)|√∣∣∣(υ2	PROPN
ejpam-5345	409	7	(	(	PUNCT
ejpam-5345	409	8	y	y	NOUN
ejpam-5345	409	9	)	)	PUNCT
ejpam-5345	409	10	)	)	PUNCT
ejpam-5345	409	11	2	2	NUM
ejpam-5345	410	1	[	[	X
ejpam-5345	410	2	3]k+1	3]k+1	NUM
ejpam-5345	410	3	q	q	NOUN
ejpam-5345	410	4	ψ(s	ψ(s	PROPN
ejpam-5345	410	5	)	)	PUNCT
ejpam-5345	410	6	(	(	PUNCT
ejpam-5345	410	7	1	1	NUM
ejpam-5345	410	8	+	+	CCONJ
ejpam-5345	411	1	[	[	X
ejpam-5345	411	2	2]q	2]q	NUM
ejpam-5345	411	3	µ	µ	X
ejpam-5345	411	4	)	)	PUNCT
ejpam-5345	411	5	−b3	−b3	PROPN
ejpam-5345	411	6	(	(	PUNCT
ejpam-5345	411	7	s	s	PROPN
ejpam-5345	411	8	,	,	PUNCT
ejpam-5345	411	9	q	q	INTJ
ejpam-5345	411	10	,	,	PUNCT
ejpam-5345	411	11	y	y	PROPN
ejpam-5345	411	12	,	,	PUNCT
ejpam-5345	411	13	µ	µ	NOUN
ejpam-5345	411	14	)	)	PUNCT
ejpam-5345	411	15	∣∣∣	∣∣∣	NOUN
ejpam-5345	411	16	,	,	PUNCT
ejpam-5345	411	17	|d3|	|d3|	NOUN
ejpam-5345	411	18	≤	≤	PUNCT
ejpam-5345	411	19	∣∣b2y2∣∣	∣∣b2y2∣∣	PROPN
ejpam-5345	412	1	[	[	X
ejpam-5345	412	2	2]2k+2	2]2k+2	NUM
ejpam-5345	412	3	q	q	NOUN
ejpam-5345	412	4	ψ2(s)(1	ψ2(s)(1	NUM
ejpam-5345	412	5	+	+	CCONJ
ejpam-5345	412	6	µ)2	µ)2	NOUN
ejpam-5345	412	7	+	+	CCONJ
ejpam-5345	412	8	|b(y)|	|b(y)|	PROPN
ejpam-5345	412	9	2	2	NUM
ejpam-5345	412	10	[	[	X
ejpam-5345	412	11	3]k+1	3]k+1	NUM
ejpam-5345	412	12	q	q	NOUN
ejpam-5345	412	13	ψ(s	ψ(s	PROPN
ejpam-5345	412	14	)	)	PUNCT
ejpam-5345	412	15	(	(	PUNCT
ejpam-5345	412	16	1	1	NUM
ejpam-5345	412	17	+	+	CCONJ
ejpam-5345	412	18	[	[	X
ejpam-5345	412	19	2]q	2]q	NUM
ejpam-5345	412	20	µ	µ	NOUN
ejpam-5345	412	21	)	)	PUNCT
ejpam-5345	412	22	,	,	PUNCT
ejpam-5345	412	23	where	where	SCONJ
ejpam-5345	412	24	b3	b3	PROPN
ejpam-5345	412	25	(	(	PUNCT
ejpam-5345	412	26	s	s	PROPN
ejpam-5345	412	27	,	,	PUNCT
ejpam-5345	412	28	q	q	INTJ
ejpam-5345	412	29	,	,	PUNCT
ejpam-5345	412	30	y	y	PROPN
ejpam-5345	412	31	,	,	PUNCT
ejpam-5345	412	32	µ	µ	NOUN
ejpam-5345	412	33	)	)	PUNCT
ejpam-5345	412	34	=	=	PUNCT
ejpam-5345	413	1	[	[	PUNCT
ejpam-5345	413	2	2]2k+2	2]2k+2	NUM
ejpam-5345	413	3	q	q	NOUN
ejpam-5345	413	4	ψ2(s)(1	ψ2(s)(1	X
ejpam-5345	413	5	+	+	ADJ
ejpam-5345	413	6	µ	µ	X
ejpam-5345	413	7	)	)	PUNCT
ejpam-5345	413	8	{	{	PUNCT
ejpam-5345	413	9	υ3(y)(1	υ3(y)(1	SYM
ejpam-5345	413	10	+	+	X
ejpam-5345	413	11	µ	µ	X
ejpam-5345	413	12	)	)	PUNCT
ejpam-5345	413	13	}	}	PUNCT
ejpam-5345	413	14	.	.	PUNCT
ejpam-5345	414	1	for	for	ADP
ejpam-5345	414	2	δ	δ	PROPN
ejpam-5345	414	3	∈	∈	PROPN
ejpam-5345	414	4	r	r	NOUN
ejpam-5345	414	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	414	6	−	−	PROPN
ejpam-5345	414	7	δd22	δd22	PROPN
ejpam-5345	414	8	∣∣	∣∣	NUM
ejpam-5345	414	9	≤	≤	NUM
ejpam-5345	414	10			PUNCT
ejpam-5345	414	11	|by|	|by|	PROPN
ejpam-5345	414	12	[	[	X
ejpam-5345	414	13	3]k+1	3]k+1	NUM
ejpam-5345	414	14	q	q	NOUN
ejpam-5345	414	15	ψ(s)(1+[2]qµ	ψ(s)(1+[2]qµ	PROPN
ejpam-5345	414	16	)	)	PUNCT
ejpam-5345	414	17	,	,	PUNCT
ejpam-5345	414	18	|1−	|1−	INTJ
ejpam-5345	414	19	δ|	δ|	ADJ
ejpam-5345	414	20	≤m1	≤m1	PROPN
ejpam-5345	414	21	,	,	PUNCT
ejpam-5345	414	22	|by|3|1−δ|	|by|3|1−δ|	NUM
ejpam-5345	414	23	|2(by)2[3]k+1	|2(by)2[3]k+1	NOUN
ejpam-5345	414	24	q	q	NOUN
ejpam-5345	414	25	ψ(s)(1+[2]qµ)−b3(s	ψ(s)(1+[2]qµ)−b3(	NOUN
ejpam-5345	414	26	,	,	PUNCT
ejpam-5345	414	27	q	q	NOUN
ejpam-5345	414	28	,	,	PUNCT
ejpam-5345	414	29	y,µ)|	y,µ)|	PROPN
ejpam-5345	414	30	,	,	PUNCT
ejpam-5345	414	31	|1−	|1−	INTJ
ejpam-5345	414	32	δ|	δ|	ADJ
ejpam-5345	414	33	≥m1	≥m1	NOUN
ejpam-5345	414	34	,	,	PUNCT
ejpam-5345	414	35	where	where	SCONJ
ejpam-5345	414	36	m1	m1	PROPN
ejpam-5345	414	37	=	=	NOUN
ejpam-5345	414	38	1	1	NUM
ejpam-5345	415	1	[	[	SYM
ejpam-5345	415	2	3]k+1	3]k+1	NUM
ejpam-5345	415	3	q	q	NOUN
ejpam-5345	415	4	ψ(s	ψ(s	PROPN
ejpam-5345	415	5	)	)	PUNCT
ejpam-5345	415	6	(	(	PUNCT
ejpam-5345	415	7	1	1	NUM
ejpam-5345	415	8	+	+	CCONJ
ejpam-5345	416	1	[	[	X
ejpam-5345	416	2	2]q	2]q	NUM
ejpam-5345	416	3	µ	µ	NOUN
ejpam-5345	416	4	)	)	PUNCT
ejpam-5345	416	5	(	(	PUNCT
ejpam-5345	416	6	by)2	by)2	NOUN
ejpam-5345	416	7	∣∣∣[3]k+1	∣∣∣[3]k+1	VERB
ejpam-5345	416	8	q	q	PROPN
ejpam-5345	416	9	ψ(s	ψ(s	PROPN
ejpam-5345	416	10	)	)	PUNCT
ejpam-5345	416	11	(	(	PUNCT
ejpam-5345	416	12	1	1	NUM
ejpam-5345	417	1	+	+	CCONJ
ejpam-5345	417	2	[	[	X
ejpam-5345	417	3	2]q	2]q	NUM
ejpam-5345	417	4	µ	µ	NOUN
ejpam-5345	417	5	)	)	PUNCT
ejpam-5345	418	1	(	(	PUNCT
ejpam-5345	418	2	by)2	by)2	PROPN
ejpam-5345	418	3	−b3	−b3	PROPN
ejpam-5345	418	4	(	(	PUNCT
ejpam-5345	418	5	s	s	PROPN
ejpam-5345	418	6	,	,	PUNCT
ejpam-5345	418	7	q	q	INTJ
ejpam-5345	418	8	,	,	PUNCT
ejpam-5345	418	9	y	y	PROPN
ejpam-5345	418	10	,	,	PUNCT
ejpam-5345	418	11	µ	µ	NOUN
ejpam-5345	418	12	)	)	PUNCT
ejpam-5345	418	13	∣∣∣	∣∣∣	NOUN
ejpam-5345	418	14	.	.	PUNCT
ejpam-5345	419	1	n.	n.	PROPN
ejpam-5345	419	2	k.	k.	PROPN
ejpam-5345	419	3	mishra	mishra	PROPN
ejpam-5345	419	4	,	,	PUNCT
ejpam-5345	419	5	m.	m.	PROPN
ejpam-5345	419	6	f.	f.	PROPN
ejpam-5345	419	7	khan	khan	PROPN
ejpam-5345	419	8	,	,	PUNCT
ejpam-5345	419	9	s.	s.	PROPN
ejpam-5345	419	10	a.	a.	PROPN
ejpam-5345	419	11	lone	lone	PROPN
ejpam-5345	419	12	/	/	SYM
ejpam-5345	419	13	eur	eur	PROPN
ejpam-5345	419	14	.	.	PUNCT
ejpam-5345	420	1	j.	j.	PROPN
ejpam-5345	420	2	pure	pure	PROPN
ejpam-5345	420	3	appl	appl	PROPN
ejpam-5345	420	4	.	.	PROPN
ejpam-5345	420	5	math	math	PROPN
ejpam-5345	420	6	,	,	PUNCT
ejpam-5345	420	7	17	17	NUM
ejpam-5345	420	8	(	(	PUNCT
ejpam-5345	420	9	4	4	NUM
ejpam-5345	420	10	)	)	PUNCT
ejpam-5345	420	11	(	(	PUNCT
ejpam-5345	420	12	2024	2024	NUM
ejpam-5345	420	13	)	)	PUNCT
ejpam-5345	420	14	,	,	PUNCT
ejpam-5345	420	15	2516	2516	NUM
ejpam-5345	420	16	-	-	SYM
ejpam-5345	420	17	2537	2537	NUM
ejpam-5345	420	18	2532	2532	NUM
ejpam-5345	420	19	corollary	corollary	NOUN
ejpam-5345	420	20	6	6	NUM
ejpam-5345	420	21	.	.	PUNCT
ejpam-5345	421	1	let	let	VERB
ejpam-5345	421	2	g(z	g(z	ADJ
ejpam-5345	421	3	)	)	PUNCT
ejpam-5345	421	4	∈	∈	PROPN
ejpam-5345	421	5	oς(y	oς(y	NUM
ejpam-5345	421	6	,	,	PUNCT
ejpam-5345	421	7	µ	µ	NOUN
ejpam-5345	421	8	,	,	PUNCT
ejpam-5345	421	9	k	k	NOUN
ejpam-5345	421	10	,	,	PUNCT
ejpam-5345	421	11	ψ(s	ψ(s	PROPN
ejpam-5345	421	12	)	)	PUNCT
ejpam-5345	421	13	)	)	PUNCT
ejpam-5345	421	14	.	.	PUNCT
ejpam-5345	422	1	then	then	ADV
ejpam-5345	422	2	|d2|	|d2|	VERB
ejpam-5345	422	3	≤	≤	ADJ
ejpam-5345	422	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	422	5	√	√	NUM
ejpam-5345	422	6	|b(y)|√∣∣∣(υ2	|b(y)|√∣∣∣(υ2	PROPN
ejpam-5345	422	7	(	(	PUNCT
ejpam-5345	422	8	y	y	NOUN
ejpam-5345	422	9	)	)	PUNCT
ejpam-5345	422	10	)	)	PUNCT
ejpam-5345	422	11	2	2	NUM
ejpam-5345	423	1	[	[	X
ejpam-5345	423	2	3]k+1	3]k+1	NUM
ejpam-5345	423	3	q	q	NOUN
ejpam-5345	423	4	ψ(s	ψ(s	PROPN
ejpam-5345	423	5	)	)	PUNCT
ejpam-5345	424	1	[	[	X
ejpam-5345	424	2	2]q	2]q	NUM
ejpam-5345	424	3	µ−	µ−	PROPN
ejpam-5345	424	4	[	[	X
ejpam-5345	424	5	2]2k+2	2]2k+2	NUM
ejpam-5345	424	6	q	q	NOUN
ejpam-5345	424	7	ψ2(s)µ	ψ2(s)µ	PUNCT
ejpam-5345	424	8	{	{	PUNCT
ejpam-5345	424	9	(	(	PUNCT
ejpam-5345	424	10	υ2	υ2	PROPN
ejpam-5345	424	11	(	(	PUNCT
ejpam-5345	424	12	y	y	NOUN
ejpam-5345	424	13	)	)	PUNCT
ejpam-5345	424	14	)	)	PUNCT
ejpam-5345	424	15	2	2	NUM
ejpam-5345	425	1	+	+	NOUN
ejpam-5345	425	2	υ3(y)µ	υ3(y)µ	NOUN
ejpam-5345	425	3	}	}	PUNCT
ejpam-5345	425	4	∣∣∣	∣∣∣	NOUN
ejpam-5345	425	5	,	,	PUNCT
ejpam-5345	425	6	|d3|	|d3|	NOUN
ejpam-5345	425	7	≤	≤	PUNCT
ejpam-5345	426	1	∣∣b2y2∣∣	∣∣b2y2∣∣	PROPN
ejpam-5345	427	1	[	[	X
ejpam-5345	427	2	2]2k+2	2]2k+2	NUM
ejpam-5345	427	3	q	q	NOUN
ejpam-5345	427	4	ψ2(s)µ2	ψ2(s)µ2	PUNCT
ejpam-5345	428	1	+	+	CCONJ
ejpam-5345	428	2	|b(y)|	|b(y)|	PROPN
ejpam-5345	428	3	2	2	NUM
ejpam-5345	428	4	[	[	X
ejpam-5345	428	5	3]k+1	3]k+1	NUM
ejpam-5345	428	6	q	q	NOUN
ejpam-5345	428	7	ψ(s	ψ(s	PROPN
ejpam-5345	428	8	)	)	PUNCT
ejpam-5345	429	1	[	[	X
ejpam-5345	429	2	2]q	2]q	NUM
ejpam-5345	429	3	µ	µ	NOUN
ejpam-5345	429	4	.	.	PUNCT
ejpam-5345	430	1	for	for	ADP
ejpam-5345	430	2	δ	δ	PROPN
ejpam-5345	430	3	∈	∈	PROPN
ejpam-5345	430	4	r	r	NOUN
ejpam-5345	430	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	430	6	−	−	PROPN
ejpam-5345	430	7	δd22	δd22	PROPN
ejpam-5345	430	8	∣∣	∣∣	NUM
ejpam-5345	430	9	≤	≤	NUM
ejpam-5345	430	10			PUNCT
ejpam-5345	430	11	|by|	|by|	PROPN
ejpam-5345	431	1	[	[	X
ejpam-5345	431	2	3]k+1	3]k+1	NUM
ejpam-5345	431	3	q	q	NOUN
ejpam-5345	431	4	ψ(s)[2]qµ	ψ(s)[2]qµ	PROPN
ejpam-5345	431	5	,	,	PUNCT
ejpam-5345	431	6	|1−	|1−	ADJ
ejpam-5345	431	7	δ|	δ|	ADJ
ejpam-5345	431	8	≤m2	≤m2	NOUN
ejpam-5345	431	9	,	,	PUNCT
ejpam-5345	431	10	|by|3|1−δ|	|by|3|1−δ|	NUM
ejpam-5345	431	11	|2(by)2[3]k+1	|2(by)2[3]k+1	X
ejpam-5345	431	12	q	q	NOUN
ejpam-5345	431	13	ψ(s)[2]qµ−[2]2k+2	ψ(s)[2]qµ−[2]2k+2	NOUN
ejpam-5345	431	14	q	q	NOUN
ejpam-5345	431	15	ψ2(s)µ{(by)2γ+(pby2+ra)µ}|	ψ2(s)µ{(by)2γ+(pby2+ra)µ}|	PROPN
ejpam-5345	431	16	,	,	PUNCT
ejpam-5345	431	17	|1−	|1−	INTJ
ejpam-5345	431	18	δ|	δ|	ADJ
ejpam-5345	431	19	≥m2	≥m2	NUM
ejpam-5345	431	20	,	,	PUNCT
ejpam-5345	431	21	where	where	SCONJ
ejpam-5345	431	22	m2	m2	PROPN
ejpam-5345	431	23	=	=	PROPN
ejpam-5345	431	24	1	1	NUM
ejpam-5345	432	1	[	[	X
ejpam-5345	432	2	3]k+1	3]k+1	NUM
ejpam-5345	432	3	q	q	NOUN
ejpam-5345	432	4	ψ(s	ψ(s	PROPN
ejpam-5345	432	5	)	)	PUNCT
ejpam-5345	433	1	[	[	X
ejpam-5345	433	2	2]q	2]q	NUM
ejpam-5345	433	3	µ	µ	PRON
ejpam-5345	433	4	∣∣∣∣[3]k+1	∣∣∣∣[3]k+1	NOUN
ejpam-5345	433	5	q	q	PROPN
ejpam-5345	433	6	ψ(s	ψ(s	PROPN
ejpam-5345	433	7	)	)	PUNCT
ejpam-5345	434	1	[	[	X
ejpam-5345	434	2	2]q	2]q	NUM
ejpam-5345	434	3	µ−	µ−	PROPN
ejpam-5345	434	4	[	[	X
ejpam-5345	434	5	2]2k+2	2]2k+2	NUM
ejpam-5345	434	6	q	q	NOUN
ejpam-5345	434	7	ψ2(s)µ	ψ2(s)µ	PUNCT
ejpam-5345	434	8	{	{	PUNCT
ejpam-5345	434	9	1	1	NUM
ejpam-5345	434	10	+	+	CCONJ
ejpam-5345	434	11	(	(	PUNCT
ejpam-5345	434	12	pby2	pby2	PROPN
ejpam-5345	434	13	+	+	CCONJ
ejpam-5345	434	14	ra	ra	PROPN
ejpam-5345	434	15	(	(	PUNCT
ejpam-5345	434	16	by)2	by)2	NOUN
ejpam-5345	434	17	)	)	PUNCT
ejpam-5345	434	18	µ	µ	PROPN
ejpam-5345	434	19	}	}	PUNCT
ejpam-5345	434	20	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5345	434	21	.	.	PUNCT
ejpam-5345	435	1	corollary	corollary	ADJ
ejpam-5345	435	2	7	7	NUM
ejpam-5345	435	3	.	.	PUNCT
ejpam-5345	436	1	let	let	VERB
ejpam-5345	436	2	g(z	g(z	ADJ
ejpam-5345	436	3	)	)	PUNCT
ejpam-5345	436	4	∈	∈	PROPN
ejpam-5345	436	5	pς(y	pς(y	NOUN
ejpam-5345	436	6	,	,	PUNCT
ejpam-5345	436	7	ξ	ξ	PROPN
ejpam-5345	436	8	,	,	PUNCT
ejpam-5345	436	9	k	k	NOUN
ejpam-5345	436	10	,	,	PUNCT
ejpam-5345	436	11	ψ(s	ψ(s	PROPN
ejpam-5345	436	12	)	)	PUNCT
ejpam-5345	436	13	)	)	PUNCT
ejpam-5345	436	14	.	.	PUNCT
ejpam-5345	437	1	then	then	ADV
ejpam-5345	437	2	|d2|	|d2|	VERB
ejpam-5345	437	3	≤	≤	ADJ
ejpam-5345	437	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	437	5	√	√	ADP
ejpam-5345	437	6	|b(y)|√	|b(y)|√	NOUN
ejpam-5345	437	7	[	[	X
ejpam-5345	437	8	3]k+1	3]k+1	NUM
ejpam-5345	437	9	q	q	NOUN
ejpam-5345	437	10	ψ(s	ψ(s	PROPN
ejpam-5345	437	11	)	)	PUNCT
ejpam-5345	437	12	(	(	PUNCT
ejpam-5345	437	13	ξ	ξ	X
ejpam-5345	437	14	(	(	PUNCT
ejpam-5345	437	15	[	[	X
ejpam-5345	437	16	2]q	2]q	NUM
ejpam-5345	437	17	+	+	CCONJ
ejpam-5345	437	18	1	1	NUM
ejpam-5345	437	19	)	)	PUNCT
ejpam-5345	437	20	−	−	PROPN
ejpam-5345	437	21	1	1	NUM
ejpam-5345	437	22	)	)	PUNCT
ejpam-5345	437	23	(	(	PUNCT
ejpam-5345	437	24	by)2	by)2	PROPN
ejpam-5345	437	25	−b4	−b4	PROPN
ejpam-5345	437	26	(	(	PUNCT
ejpam-5345	437	27	r	r	NOUN
ejpam-5345	437	28	,	,	PUNCT
ejpam-5345	437	29	s	s	PROPN
ejpam-5345	437	30	,	,	PUNCT
ejpam-5345	437	31	q	q	ADJ
ejpam-5345	437	32	,	,	PUNCT
ejpam-5345	437	33	ξ	ξ	NOUN
ejpam-5345	437	34	)	)	PUNCT
ejpam-5345	437	35	and	and	CCONJ
ejpam-5345	437	36	|d3|	|d3|	NOUN
ejpam-5345	437	37	≤	≤	NOUN
ejpam-5345	437	38	(	(	PUNCT
ejpam-5345	437	39	by)2	by)2	NOUN
ejpam-5345	437	40	(	(	PUNCT
ejpam-5345	437	41	2ξ	2ξ	NUM
ejpam-5345	437	42	−	−	PROPN
ejpam-5345	438	1	1)2	1)2	NUM
ejpam-5345	439	1	[	[	X
ejpam-5345	439	2	2]2k+2	2]2k+2	NUM
ejpam-5345	439	3	q	q	NOUN
ejpam-5345	439	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	439	5	)	)	PUNCT
ejpam-5345	439	6	+	+	CCONJ
ejpam-5345	439	7	|b(y)|	|b(y)|	PROPN
ejpam-5345	439	8	[	[	X
ejpam-5345	439	9	3]k+1	3]k+1	NUM
ejpam-5345	439	10	q	q	NOUN
ejpam-5345	439	11	ψ(s	ψ(s	PROPN
ejpam-5345	439	12	)	)	PUNCT
ejpam-5345	439	13	(	(	PUNCT
ejpam-5345	439	14	ξ	ξ	X
ejpam-5345	439	15	(	(	PUNCT
ejpam-5345	439	16	[	[	X
ejpam-5345	439	17	2]q	2]q	NUM
ejpam-5345	439	18	+	+	CCONJ
ejpam-5345	439	19	1	1	NUM
ejpam-5345	439	20	)	)	PUNCT
ejpam-5345	439	21	−	−	PROPN
ejpam-5345	439	22	1	1	NUM
ejpam-5345	439	23	)	)	PUNCT
ejpam-5345	439	24	,	,	PUNCT
ejpam-5345	439	25	where	where	SCONJ
ejpam-5345	439	26	b4	b4	NOUN
ejpam-5345	439	27	(	(	PUNCT
ejpam-5345	439	28	r	r	NOUN
ejpam-5345	439	29	,	,	PUNCT
ejpam-5345	439	30	s	s	PROPN
ejpam-5345	439	31	,	,	PUNCT
ejpam-5345	439	32	q	q	ADJ
ejpam-5345	439	33	,	,	PUNCT
ejpam-5345	439	34	ξ	ξ	X
ejpam-5345	439	35	)	)	PUNCT
ejpam-5345	439	36	=	=	SYM
ejpam-5345	439	37	{	{	PUNCT
ejpam-5345	440	1	[	[	X
ejpam-5345	440	2	2]k+1	2]k+1	NUM
ejpam-5345	440	3	q	q	PROPN
ejpam-5345	440	4	ψ2(s)(1−	ψ2(s)(1−	ADJ
ejpam-5345	440	5	2ξ	2ξ	NUM
ejpam-5345	440	6	)	)	PUNCT
ejpam-5345	440	7	(	(	PUNCT
ejpam-5345	440	8	by)2	by)2	NOUN
ejpam-5345	440	9	−	−	PROPN
ejpam-5345	440	10	(	(	PUNCT
ejpam-5345	440	11	2ξ	2ξ	NUM
ejpam-5345	440	12	−	−	PROPN
ejpam-5345	440	13	1	1	X
ejpam-5345	440	14	)	)	PUNCT
ejpam-5345	441	1	[	[	X
ejpam-5345	441	2	2]2k+2	2]2k+2	NUM
ejpam-5345	441	3	q	q	NOUN
ejpam-5345	441	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	441	5	)	)	PUNCT
ejpam-5345	441	6	(	(	PUNCT
ejpam-5345	441	7	pby2	pby2	PROPN
ejpam-5345	441	8	+	+	CCONJ
ejpam-5345	441	9	ra	ra	PROPN
ejpam-5345	441	10	)	)	PUNCT
ejpam-5345	441	11	}	}	PUNCT
ejpam-5345	441	12	.	.	PUNCT
ejpam-5345	442	1	for	for	ADP
ejpam-5345	442	2	δ	δ	PROPN
ejpam-5345	442	3	∈	∈	PROPN
ejpam-5345	442	4	r	r	NOUN
ejpam-5345	442	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	442	6	−	−	PROPN
ejpam-5345	442	7	δd22	δd22	PROPN
ejpam-5345	442	8	∣∣	∣∣	NUM
ejpam-5345	442	9	≤	≤	NUM
ejpam-5345	442	10			PUNCT
ejpam-5345	442	11	|by|	|by|	PROPN
ejpam-5345	443	1	[	[	X
ejpam-5345	443	2	3]k+1	3]k+1	NUM
ejpam-5345	443	3	q	q	NOUN
ejpam-5345	443	4	ψ(s)(ξ([2]q+1)−1	ψ(s)(ξ([2]q+1)−1	NOUN
ejpam-5345	443	5	)	)	PUNCT
ejpam-5345	443	6	,	,	PUNCT
ejpam-5345	443	7	|1−	|1−	INTJ
ejpam-5345	443	8	δ|	δ|	ADJ
ejpam-5345	443	9	≤	≤	PROPN
ejpam-5345	443	10	ω1	ω1	PROPN
ejpam-5345	443	11	,	,	PUNCT
ejpam-5345	443	12	|by|3|1−δ|	|by|3|1−δ|	NOUN
ejpam-5345	443	13	|[3]k+1	|[3]k+1	PUNCT
ejpam-5345	443	14	q	q	PROPN
ejpam-5345	443	15	ψ(s)(ξ([2]q+1)−1)(by)2−b4(r	ψ(s)(ξ([2]q+1)−1)(by)2−b4(r	NOUN
ejpam-5345	443	16	,	,	PUNCT
ejpam-5345	443	17	s	s	X
ejpam-5345	443	18	,	,	PUNCT
ejpam-5345	443	19	q	q	ADJ
ejpam-5345	443	20	,	,	PUNCT
ejpam-5345	443	21	ξ)|	ξ)|	INTJ
ejpam-5345	443	22	,	,	PUNCT
ejpam-5345	443	23	|1−	|1−	INTJ
ejpam-5345	443	24	δ|	δ|	PROPN
ejpam-5345	443	25	≥	≥	NUM
ejpam-5345	443	26	ω1	ω1	PROPN
ejpam-5345	443	27	,	,	PUNCT
ejpam-5345	443	28	where	where	SCONJ
ejpam-5345	443	29	ω1	ω1	PROPN
ejpam-5345	443	30	=	=	PUNCT
ejpam-5345	443	31	∣∣∣[3]k+1	∣∣∣[3]k+1	VERB
ejpam-5345	443	32	q	q	NOUN
ejpam-5345	443	33	ψ(s	ψ(s	PROPN
ejpam-5345	443	34	)	)	PUNCT
ejpam-5345	443	35	(	(	PUNCT
ejpam-5345	443	36	ξ	ξ	X
ejpam-5345	443	37	(	(	PUNCT
ejpam-5345	443	38	[	[	X
ejpam-5345	443	39	2]q	2]q	NUM
ejpam-5345	443	40	+	+	CCONJ
ejpam-5345	443	41	1	1	NUM
ejpam-5345	443	42	)	)	PUNCT
ejpam-5345	443	43	−	−	PROPN
ejpam-5345	443	44	1	1	X
ejpam-5345	443	45	)	)	PUNCT
ejpam-5345	444	1	b2y2	b2y2	X
ejpam-5345	444	2	−b4	−b4	PROPN
ejpam-5345	444	3	(	(	PUNCT
ejpam-5345	444	4	r	r	NOUN
ejpam-5345	444	5	,	,	PUNCT
ejpam-5345	444	6	s	s	PROPN
ejpam-5345	444	7	,	,	PUNCT
ejpam-5345	444	8	q	q	ADJ
ejpam-5345	444	9	,	,	PUNCT
ejpam-5345	444	10	ξ	ξ	NOUN
ejpam-5345	444	11	)	)	PUNCT
ejpam-5345	444	12	∣∣∣	∣∣∣	NOUN
ejpam-5345	444	13	4	4	NUM
ejpam-5345	444	14	[	[	SYM
ejpam-5345	444	15	3]k+1	3]k+1	NUM
ejpam-5345	444	16	q	q	NOUN
ejpam-5345	444	17	ψ(s	ψ(s	PROPN
ejpam-5345	444	18	)	)	PUNCT
ejpam-5345	444	19	(	(	PUNCT
ejpam-5345	444	20	ξ	ξ	X
ejpam-5345	444	21	(	(	PUNCT
ejpam-5345	444	22	[	[	X
ejpam-5345	444	23	2]q	2]q	NUM
ejpam-5345	444	24	+	+	CCONJ
ejpam-5345	444	25	1	1	NUM
ejpam-5345	444	26	)	)	PUNCT
ejpam-5345	444	27	−	−	PROPN
ejpam-5345	444	28	1	1	NUM
ejpam-5345	444	29	)	)	PUNCT
ejpam-5345	444	30	b2y2	b2y2	X
ejpam-5345	444	31	.	.	PUNCT
ejpam-5345	445	1	n.	n.	PROPN
ejpam-5345	445	2	k.	k.	PROPN
ejpam-5345	445	3	mishra	mishra	PROPN
ejpam-5345	445	4	,	,	PUNCT
ejpam-5345	445	5	m.	m.	PROPN
ejpam-5345	445	6	f.	f.	PROPN
ejpam-5345	445	7	khan	khan	PROPN
ejpam-5345	445	8	,	,	PUNCT
ejpam-5345	445	9	s.	s.	PROPN
ejpam-5345	445	10	a.	a.	PROPN
ejpam-5345	445	11	lone	lone	PROPN
ejpam-5345	445	12	/	/	SYM
ejpam-5345	445	13	eur	eur	PROPN
ejpam-5345	445	14	.	.	PUNCT
ejpam-5345	446	1	j.	j.	PROPN
ejpam-5345	446	2	pure	pure	PROPN
ejpam-5345	446	3	appl	appl	PROPN
ejpam-5345	446	4	.	.	PROPN
ejpam-5345	446	5	math	math	PROPN
ejpam-5345	446	6	,	,	PUNCT
ejpam-5345	446	7	17	17	NUM
ejpam-5345	446	8	(	(	PUNCT
ejpam-5345	446	9	4	4	NUM
ejpam-5345	446	10	)	)	PUNCT
ejpam-5345	446	11	(	(	PUNCT
ejpam-5345	446	12	2024	2024	NUM
ejpam-5345	446	13	)	)	PUNCT
ejpam-5345	446	14	,	,	PUNCT
ejpam-5345	446	15	2516	2516	NUM
ejpam-5345	446	16	-	-	SYM
ejpam-5345	446	17	2537	2537	NUM
ejpam-5345	446	18	2533	2533	NUM
ejpam-5345	446	19	corollary	corollary	ADJ
ejpam-5345	446	20	8	8	NUM
ejpam-5345	446	21	.	.	PUNCT
ejpam-5345	447	1	let	let	VERB
ejpam-5345	447	2	g(z	g(z	PROPN
ejpam-5345	447	3	)	)	PUNCT
ejpam-5345	447	4	be	be	AUX
ejpam-5345	447	5	in	in	ADP
ejpam-5345	447	6	the	the	DET
ejpam-5345	447	7	family	family	NOUN
ejpam-5345	447	8	qς(y	qς(y	VERB
ejpam-5345	447	9	,	,	PUNCT
ejpam-5345	447	10	τ	τ	PROPN
ejpam-5345	447	11	,	,	PUNCT
ejpam-5345	447	12	k	k	NOUN
ejpam-5345	447	13	,	,	PUNCT
ejpam-5345	447	14	q	q	NOUN
ejpam-5345	447	15	,	,	PUNCT
ejpam-5345	447	16	ψ(s	ψ(s	PROPN
ejpam-5345	447	17	)	)	PUNCT
ejpam-5345	447	18	)	)	PUNCT
ejpam-5345	447	19	.	.	PUNCT
ejpam-5345	448	1	then	then	ADV
ejpam-5345	448	2	|d2|	|d2|	VERB
ejpam-5345	448	3	≤	≤	ADJ
ejpam-5345	448	4	|b(y)|	|b(y)|	PROPN
ejpam-5345	448	5	√	√	ADP
ejpam-5345	448	6	|b(y)|√	|b(y)|√	NOUN
ejpam-5345	448	7	[	[	X
ejpam-5345	448	8	3]k+1	3]k+1	NUM
ejpam-5345	448	9	q	q	NOUN
ejpam-5345	448	10	ψ(s	ψ(s	PROPN
ejpam-5345	448	11	)	)	PUNCT
ejpam-5345	448	12	(	(	PUNCT
ejpam-5345	448	13	ξ	ξ	X
ejpam-5345	448	14	(	(	PUNCT
ejpam-5345	448	15	[	[	X
ejpam-5345	448	16	2]q	2]q	NUM
ejpam-5345	448	17	+	+	CCONJ
ejpam-5345	448	18	1	1	NUM
ejpam-5345	448	19	)	)	PUNCT
ejpam-5345	448	20	−	−	PROPN
ejpam-5345	448	21	1	1	NUM
ejpam-5345	448	22	)	)	PUNCT
ejpam-5345	448	23	(	(	PUNCT
ejpam-5345	448	24	by)2	by)2	NOUN
ejpam-5345	448	25	−b5	−b5	PROPN
ejpam-5345	448	26	(	(	PUNCT
ejpam-5345	448	27	r	r	NOUN
ejpam-5345	448	28	,	,	PUNCT
ejpam-5345	448	29	s	s	PROPN
ejpam-5345	448	30	,	,	PUNCT
ejpam-5345	448	31	τ	τ	PROPN
ejpam-5345	448	32	,	,	PUNCT
ejpam-5345	448	33	y	y	PROPN
ejpam-5345	448	34	)	)	PUNCT
ejpam-5345	448	35	and	and	CCONJ
ejpam-5345	448	36	|d3|	|d3|	NOUN
ejpam-5345	448	37	≤	≤	NOUN
ejpam-5345	448	38	(	(	PUNCT
ejpam-5345	448	39	by)2	by)2	NOUN
ejpam-5345	448	40	(	(	PUNCT
ejpam-5345	448	41	2τ	2τ	NOUN
ejpam-5345	448	42	−	−	PROPN
ejpam-5345	449	1	1)2	1)2	NUM
ejpam-5345	450	1	[	[	X
ejpam-5345	450	2	2]2k+2	2]2k+2	NUM
ejpam-5345	450	3	q	q	NOUN
ejpam-5345	450	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	450	5	)	)	PUNCT
ejpam-5345	450	6	+	+	CCONJ
ejpam-5345	450	7	|b(y)|	|b(y)|	PROPN
ejpam-5345	450	8	[	[	X
ejpam-5345	450	9	3]k+1	3]k+1	NUM
ejpam-5345	450	10	q	q	NOUN
ejpam-5345	450	11	ψ(s	ψ(s	PROPN
ejpam-5345	450	12	)	)	PUNCT
ejpam-5345	450	13	(	(	PUNCT
ejpam-5345	450	14	τ	τ	X
ejpam-5345	450	15	(	(	PUNCT
ejpam-5345	450	16	[	[	X
ejpam-5345	450	17	2]q	2]q	NUM
ejpam-5345	450	18	+	+	CCONJ
ejpam-5345	450	19	1	1	NUM
ejpam-5345	450	20	)	)	PUNCT
ejpam-5345	450	21	−	−	PROPN
ejpam-5345	450	22	1	1	NUM
ejpam-5345	450	23	)	)	PUNCT
ejpam-5345	450	24	,	,	PUNCT
ejpam-5345	450	25	where	where	SCONJ
ejpam-5345	450	26	b5	b5	PROPN
ejpam-5345	450	27	(	(	PUNCT
ejpam-5345	450	28	r	r	PROPN
ejpam-5345	450	29	,	,	PUNCT
ejpam-5345	450	30	s	s	PROPN
ejpam-5345	450	31	,	,	PUNCT
ejpam-5345	450	32	τ	τ	PROPN
ejpam-5345	450	33	,	,	PUNCT
ejpam-5345	450	34	y	y	PROPN
ejpam-5345	450	35	)	)	PUNCT
ejpam-5345	450	36	=	=	PRON
ejpam-5345	450	37	{	{	PUNCT
ejpam-5345	450	38	[	[	X
ejpam-5345	450	39	2]k+1	2]k+1	NUM
ejpam-5345	450	40	q	q	NOUN
ejpam-5345	450	41	ψ2(s)(2τ2	ψ2(s)(2τ2	NOUN
ejpam-5345	450	42	−	−	NOUN
ejpam-5345	450	43	4τ	4τ	NOUN
ejpam-5345	450	44	+	+	CCONJ
ejpam-5345	450	45	1	1	X
ejpam-5345	450	46	)	)	PUNCT
ejpam-5345	450	47	(	(	PUNCT
ejpam-5345	450	48	by)2	by)2	NOUN
ejpam-5345	450	49	−	−	PROPN
ejpam-5345	450	50	{	{	PUNCT
ejpam-5345	450	51	(	(	PUNCT
ejpam-5345	450	52	2τ	2τ	NUM
ejpam-5345	450	53	−	−	NOUN
ejpam-5345	450	54	1	1	X
ejpam-5345	450	55	)	)	PUNCT
ejpam-5345	451	1	[	[	X
ejpam-5345	451	2	2]2k+2	2]2k+2	NUM
ejpam-5345	451	3	q	q	NOUN
ejpam-5345	451	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	451	5	)	)	PUNCT
ejpam-5345	451	6	(	(	PUNCT
ejpam-5345	451	7	pby2	pby2	PROPN
ejpam-5345	451	8	+	+	CCONJ
ejpam-5345	451	9	ra	ra	PROPN
ejpam-5345	451	10	)	)	PUNCT
ejpam-5345	451	11	.	.	PUNCT
ejpam-5345	452	1	for	for	ADP
ejpam-5345	452	2	δ	δ	PROPN
ejpam-5345	452	3	∈	∈	PROPN
ejpam-5345	452	4	r	r	NOUN
ejpam-5345	452	5	∣∣d3	∣∣d3	NOUN
ejpam-5345	452	6	−	−	PROPN
ejpam-5345	452	7	δd22	δd22	PROPN
ejpam-5345	452	8	∣∣	∣∣	NUM
ejpam-5345	452	9	≤	≤	NUM
ejpam-5345	452	10			PUNCT
ejpam-5345	452	11	|by|	|by|	PROPN
ejpam-5345	452	12	[	[	X
ejpam-5345	452	13	3]k+1	3]k+1	NUM
ejpam-5345	452	14	q	q	SYM
ejpam-5345	452	15	ψ(s)(τ([2]q+1)−1	ψ(s)(τ([2]q+1)−1	NUM
ejpam-5345	452	16	)	)	PUNCT
ejpam-5345	452	17	,	,	PUNCT
ejpam-5345	452	18	|1−	|1−	INTJ
ejpam-5345	452	19	δ|	δ|	ADJ
ejpam-5345	452	20	≤	≤	ADV
ejpam-5345	452	21	ω2	ω2	ADJ
ejpam-5345	452	22	,	,	PUNCT
ejpam-5345	452	23	|by|3|1−δ|	|by|3|1−δ|	NOUN
ejpam-5345	452	24	|[3]k+1	|[3]k+1	PROPN
ejpam-5345	452	25	q	q	PROPN
ejpam-5345	452	26	ψ(s)(τ([2]q+1)−1)(by)2−b5(r	ψ(s)(τ([2]q+1)−1)(by)2−b5(r	NUM
ejpam-5345	452	27	,	,	PUNCT
ejpam-5345	452	28	s	s	X
ejpam-5345	452	29	,	,	PUNCT
ejpam-5345	452	30	τ	τ	PROPN
ejpam-5345	452	31	,	,	PUNCT
ejpam-5345	452	32	y)|	y)|	PROPN
ejpam-5345	452	33	,	,	PUNCT
ejpam-5345	452	34	|1−	|1−	INTJ
ejpam-5345	452	35	δ|	δ|	PROPN
ejpam-5345	452	36	≥	≥	NUM
ejpam-5345	452	37	ω2	ω2	ADJ
ejpam-5345	452	38	,	,	PUNCT
ejpam-5345	452	39	where	where	SCONJ
ejpam-5345	452	40	ω2	ω2	NOUN
ejpam-5345	452	41	=	=	PUNCT
ejpam-5345	452	42	∣∣∣[3]k+1	∣∣∣[3]k+1	PROPN
ejpam-5345	452	43	q	q	NOUN
ejpam-5345	452	44	ψ(s	ψ(s	PROPN
ejpam-5345	452	45	)	)	PUNCT
ejpam-5345	452	46	(	(	PUNCT
ejpam-5345	452	47	ξ	ξ	X
ejpam-5345	452	48	(	(	PUNCT
ejpam-5345	452	49	[	[	X
ejpam-5345	452	50	2]q	2]q	NUM
ejpam-5345	452	51	+	+	CCONJ
ejpam-5345	452	52	1	1	NUM
ejpam-5345	452	53	)	)	PUNCT
ejpam-5345	452	54	−	−	PROPN
ejpam-5345	452	55	1	1	X
ejpam-5345	452	56	)	)	PUNCT
ejpam-5345	452	57	−b6	−b6	PROPN
ejpam-5345	452	58	(	(	PUNCT
ejpam-5345	452	59	r	r	NOUN
ejpam-5345	452	60	,	,	PUNCT
ejpam-5345	452	61	s	s	PROPN
ejpam-5345	452	62	,	,	PUNCT
ejpam-5345	452	63	τ	τ	PROPN
ejpam-5345	452	64	,	,	PUNCT
ejpam-5345	452	65	y	y	NOUN
ejpam-5345	452	66	)	)	PUNCT
ejpam-5345	452	67	∣∣∣	∣∣∣	NOUN
ejpam-5345	452	68	4	4	NUM
ejpam-5345	453	1	[	[	SYM
ejpam-5345	453	2	3]k+1	3]k+1	NUM
ejpam-5345	453	3	q	q	NOUN
ejpam-5345	453	4	ψ(s	ψ(s	PROPN
ejpam-5345	453	5	)	)	PUNCT
ejpam-5345	453	6	(	(	PUNCT
ejpam-5345	453	7	τ	τ	X
ejpam-5345	453	8	(	(	PUNCT
ejpam-5345	453	9	[	[	X
ejpam-5345	453	10	2]q	2]q	NUM
ejpam-5345	453	11	+	+	CCONJ
ejpam-5345	453	12	1	1	NUM
ejpam-5345	453	13	)	)	PUNCT
ejpam-5345	453	14	−	−	PROPN
ejpam-5345	453	15	1	1	NUM
ejpam-5345	453	16	)	)	PUNCT
ejpam-5345	453	17	and	and	CCONJ
ejpam-5345	453	18	b6	b6	NOUN
ejpam-5345	453	19	(	(	PUNCT
ejpam-5345	453	20	r	r	NOUN
ejpam-5345	453	21	,	,	PUNCT
ejpam-5345	453	22	s	s	PROPN
ejpam-5345	453	23	,	,	PUNCT
ejpam-5345	453	24	τ	τ	PROPN
ejpam-5345	453	25	,	,	PUNCT
ejpam-5345	453	26	y	y	PROPN
ejpam-5345	453	27	)	)	PUNCT
ejpam-5345	453	28	=	=	PRON
ejpam-5345	453	29	{	{	PUNCT
ejpam-5345	454	1	[	[	X
ejpam-5345	454	2	2]k+1	2]k+1	NUM
ejpam-5345	454	3	q	q	NOUN
ejpam-5345	454	4	ψ2(s)(2τ2	ψ2(s)(2τ2	NOUN
ejpam-5345	454	5	−	−	NOUN
ejpam-5345	454	6	4τ	4τ	NOUN
ejpam-5345	454	7	+	+	CCONJ
ejpam-5345	454	8	1	1	NUM
ejpam-5345	454	9	)	)	PUNCT
ejpam-5345	454	10	−	−	PROPN
ejpam-5345	455	1	(	(	PUNCT
ejpam-5345	455	2	ξτ	ξτ	ADV
ejpam-5345	455	3	−	−	NOUN
ejpam-5345	455	4	1	1	NUM
ejpam-5345	455	5	)	)	PUNCT
ejpam-5345	456	1	[	[	X
ejpam-5345	456	2	2]2k+2	2]2k+2	NUM
ejpam-5345	456	3	q	q	NOUN
ejpam-5345	456	4	ψ2(s	ψ2(s	NOUN
ejpam-5345	456	5	)	)	PUNCT
ejpam-5345	456	6	(	(	PUNCT
ejpam-5345	456	7	pby2	pby2	NOUN
ejpam-5345	456	8	+	+	CCONJ
ejpam-5345	456	9	qa	qa	PROPN
ejpam-5345	456	10	b2y2	b2y2	X
ejpam-5345	456	11	)	)	PUNCT
ejpam-5345	456	12	}	}	PUNCT
ejpam-5345	456	13	.	.	PUNCT
ejpam-5345	457	1	4	4	X
ejpam-5345	457	2	.	.	X
ejpam-5345	457	3	conclusions	conclusion	NOUN
ejpam-5345	457	4	this	this	DET
ejpam-5345	457	5	research	research	NOUN
ejpam-5345	457	6	aims	aim	VERB
ejpam-5345	457	7	to	to	PART
ejpam-5345	457	8	introduce	introduce	VERB
ejpam-5345	457	9	new	new	ADJ
ejpam-5345	457	10	subfamilies	subfamily	NOUN
ejpam-5345	457	11	of	of	ADP
ejpam-5345	457	12	bi	bi	ADJ
ejpam-5345	457	13	-	-	ADJ
ejpam-5345	457	14	univalent	univalent	ADJ
ejpam-5345	457	15	functions	function	NOUN
ejpam-5345	457	16	within	within	ADP
ejpam-5345	457	17	the	the	DET
ejpam-5345	457	18	open	open	ADJ
ejpam-5345	457	19	unit	unit	NOUN
ejpam-5345	457	20	disk	disk	NOUN
ejpam-5345	457	21	,	,	PUNCT
ejpam-5345	457	22	leveraging	leverage	VERB
ejpam-5345	457	23	the	the	DET
ejpam-5345	457	24	connections	connection	NOUN
ejpam-5345	457	25	between	between	ADP
ejpam-5345	457	26	horadam	horadam	PROPN
ejpam-5345	457	27	polynomials	polynomial	NOUN
ejpam-5345	457	28	,	,	PUNCT
ejpam-5345	457	29	modified	modify	VERB
ejpam-5345	457	30	sigmoid	sigmoid	NOUN
ejpam-5345	457	31	functions	function	NOUN
ejpam-5345	457	32	,	,	PUNCT
ejpam-5345	457	33	and	and	CCONJ
ejpam-5345	457	34	the	the	DET
ejpam-5345	457	35	principles	principle	NOUN
ejpam-5345	457	36	of	of	ADP
ejpam-5345	457	37	subordination	subordination	NOUN
ejpam-5345	457	38	.	.	PUNCT
ejpam-5345	458	1	by	by	ADP
ejpam-5345	458	2	utilizing	utilize	VERB
ejpam-5345	458	3	the	the	DET
ejpam-5345	458	4	power	power	NOUN
ejpam-5345	458	5	of	of	ADP
ejpam-5345	458	6	q	q	NOUN
ejpam-5345	458	7	-	-	PUNCT
ejpam-5345	458	8	calculus	calculus	ADJ
ejpam-5345	458	9	,	,	PUNCT
ejpam-5345	458	10	quantum	quantum	ADJ
ejpam-5345	458	11	difference	difference	NOUN
ejpam-5345	458	12	operators	operator	NOUN
ejpam-5345	458	13	,	,	PUNCT
ejpam-5345	458	14	and	and	CCONJ
ejpam-5345	458	15	the	the	DET
ejpam-5345	458	16	modified	modify	VERB
ejpam-5345	458	17	sigmoid	sigmoid	NOUN
ejpam-5345	458	18	function	function	NOUN
ejpam-5345	458	19	,	,	PUNCT
ejpam-5345	458	20	we	we	PRON
ejpam-5345	458	21	define	define	VERB
ejpam-5345	458	22	and	and	CCONJ
ejpam-5345	458	23	investigate	investigate	VERB
ejpam-5345	458	24	three	three	NUM
ejpam-5345	458	25	novel	novel	ADJ
ejpam-5345	458	26	subclasses	subclass	NOUN
ejpam-5345	458	27	of	of	ADP
ejpam-5345	458	28	bi	bi	ADJ
ejpam-5345	458	29	-	-	ADJ
ejpam-5345	458	30	univalent	univalent	ADJ
ejpam-5345	458	31	functions	function	NOUN
ejpam-5345	458	32	linked	link	VERB
ejpam-5345	458	33	to	to	ADP
ejpam-5345	458	34	horadam	horadam	PROPN
ejpam-5345	458	35	polynomials	polynomial	NOUN
ejpam-5345	458	36	.	.	PUNCT
ejpam-5345	459	1	our	our	PRON
ejpam-5345	459	2	study	study	NOUN
ejpam-5345	459	3	yields	yield	VERB
ejpam-5345	459	4	estimates	estimate	NOUN
ejpam-5345	459	5	for	for	ADP
ejpam-5345	459	6	the	the	DET
ejpam-5345	459	7	fekete	fekete	PROPN
ejpam-5345	459	8	-	-	PUNCT
ejpam-5345	459	9	szegö	szegö	ADJ
ejpam-5345	459	10	functional	functional	ADJ
ejpam-5345	459	11	problems	problem	NOUN
ejpam-5345	459	12	and	and	CCONJ
ejpam-5345	459	13	the	the	DET
ejpam-5345	459	14	taylor	taylor	PROPN
ejpam-5345	459	15	-	-	PUNCT
ejpam-5345	459	16	maclaurin	maclaurin	NOUN
ejpam-5345	459	17	coefficients	coefficient	NOUN
ejpam-5345	459	18	|d2|	|d2|	NOUN
ejpam-5345	459	19	and	and	CCONJ
ejpam-5345	459	20	|d3|	|d3|	NOUN
ejpam-5345	459	21	for	for	ADP
ejpam-5345	459	22	each	each	PRON
ejpam-5345	459	23	of	of	ADP
ejpam-5345	459	24	these	these	DET
ejpam-5345	459	25	subclasses	subclass	NOUN
ejpam-5345	459	26	.	.	PUNCT
ejpam-5345	460	1	furthermore	furthermore	ADV
ejpam-5345	460	2	,	,	PUNCT
ejpam-5345	460	3	by	by	ADP
ejpam-5345	460	4	examining	examine	VERB
ejpam-5345	460	5	the	the	DET
ejpam-5345	460	6	variables	variable	NOUN
ejpam-5345	460	7	in	in	ADP
ejpam-5345	460	8	our	our	PRON
ejpam-5345	460	9	main	main	ADJ
ejpam-5345	460	10	results	result	NOUN
ejpam-5345	460	11	,	,	PUNCT
ejpam-5345	460	12	we	we	PRON
ejpam-5345	460	13	uncover	uncover	VERB
ejpam-5345	460	14	additional	additional	ADJ
ejpam-5345	460	15	original	original	ADJ
ejpam-5345	460	16	findings	finding	NOUN
ejpam-5345	460	17	.	.	PUNCT
ejpam-5345	461	1	this	this	DET
ejpam-5345	461	2	methodology	methodology	NOUN
ejpam-5345	461	3	paves	pave	VERB
ejpam-5345	461	4	the	the	DET
ejpam-5345	461	5	way	way	NOUN
ejpam-5345	461	6	for	for	ADP
ejpam-5345	461	7	the	the	DET
ejpam-5345	461	8	introduction	introduction	NOUN
ejpam-5345	461	9	of	of	ADP
ejpam-5345	461	10	new	new	ADJ
ejpam-5345	461	11	subclasses	subclass	NOUN
ejpam-5345	461	12	of	of	ADP
ejpam-5345	461	13	bi	bi	ADJ
ejpam-5345	461	14	-	-	ADJ
ejpam-5345	461	15	univalent	univalent	ADJ
ejpam-5345	461	16	functions	function	NOUN
ejpam-5345	461	17	related	relate	VERB
ejpam-5345	461	18	to	to	ADP
ejpam-5345	461	19	other	other	ADJ
ejpam-5345	461	20	generating	generating	NOUN
ejpam-5345	461	21	functions	function	NOUN
ejpam-5345	461	22	,	,	PUNCT
ejpam-5345	461	23	such	such	ADJ
ejpam-5345	461	24	as	as	ADP
ejpam-5345	461	25	fibonacci	fibonacci	NOUN
ejpam-5345	461	26	numbers	number	NOUN
ejpam-5345	461	27	and	and	CCONJ
ejpam-5345	461	28	square	square	ADJ
ejpam-5345	461	29	-	-	PUNCT
ejpam-5345	461	30	root	root	NOUN
ejpam-5345	461	31	functions	function	NOUN
ejpam-5345	461	32	.	.	PUNCT
ejpam-5345	462	1	by	by	ADP
ejpam-5345	462	2	applying	apply	VERB
ejpam-5345	462	3	the	the	DET
ejpam-5345	462	4	faber	faber	NOUN
ejpam-5345	462	5	polynomial	polynomial	ADJ
ejpam-5345	462	6	technique	technique	NOUN
ejpam-5345	462	7	,	,	PUNCT
ejpam-5345	462	8	we	we	PRON
ejpam-5345	462	9	can	can	AUX
ejpam-5345	462	10	derive	derive	VERB
ejpam-5345	462	11	bounds	bound	NOUN
ejpam-5345	462	12	for	for	ADP
ejpam-5345	462	13	the	the	DET
ejpam-5345	462	14	nth	nth	NOUN
ejpam-5345	462	15	coefficients	coefficient	NOUN
ejpam-5345	462	16	of	of	ADP
ejpam-5345	462	17	these	these	DET
ejpam-5345	462	18	subclasses	subclass	NOUN
ejpam-5345	462	19	,	,	PUNCT
ejpam-5345	462	20	specifically	specifically	ADV
ejpam-5345	462	21	the	the	DET
ejpam-5345	462	22	first	first	ADJ
ejpam-5345	462	23	two	two	NUM
ejpam-5345	462	24	initial	initial	ADJ
ejpam-5345	462	25	coefficients	coefficient	NOUN
ejpam-5345	462	26	and	and	CCONJ
ejpam-5345	462	27	fekete	fekete	PROPN
ejpam-5345	462	28	-	-	PUNCT
ejpam-5345	462	29	szegö	szegö	ADJ
ejpam-5345	462	30	functional	functional	ADJ
ejpam-5345	462	31	problems	problem	NOUN
ejpam-5345	462	32	.	.	PUNCT
ejpam-5345	463	1	references	reference	NOUN
ejpam-5345	463	2	2534	2534	NUM
ejpam-5345	463	3	acknowledgements	acknowledgement	NOUN
ejpam-5345	463	4	the	the	DET
ejpam-5345	463	5	authors	author	NOUN
ejpam-5345	463	6	extend	extend	VERB
ejpam-5345	463	7	their	their	PRON
ejpam-5345	463	8	appreciation	appreciation	NOUN
ejpam-5345	463	9	to	to	ADP
ejpam-5345	463	10	the	the	DET
ejpam-5345	463	11	deanship	deanship	NOUN
ejpam-5345	463	12	of	of	ADP
ejpam-5345	463	13	scientific	scientific	ADJ
ejpam-5345	463	14	research	research	NOUN
ejpam-5345	463	15	at	at	ADP
ejpam-5345	463	16	saudi	saudi	ADJ
ejpam-5345	463	17	electronic	electronic	ADJ
ejpam-5345	463	18	university	university	NOUN
ejpam-5345	463	19	for	for	ADP
ejpam-5345	463	20	funding	fund	VERB
ejpam-5345	463	21	this	this	DET
ejpam-5345	463	22	research	research	NOUN
ejpam-5345	463	23	(	(	PUNCT
ejpam-5345	463	24	8399	8399	NUM
ejpam-5345	463	25	)	)	PUNCT
ejpam-5345	463	26	.	.	PUNCT
ejpam-5345	464	1	references	reference	NOUN
ejpam-5345	464	2	[	[	X
ejpam-5345	464	3	1	1	NUM
ejpam-5345	464	4	]	]	PUNCT
ejpam-5345	464	5	c.	c.	PROPN
ejpam-5345	464	6	abirami	abirami	PROPN
ejpam-5345	464	7	,	,	PUNCT
ejpam-5345	464	8	n.	n.	PROPN
ejpam-5345	464	9	magesh	magesh	PROPN
ejpam-5345	464	10	,	,	PUNCT
ejpam-5345	464	11	and	and	CCONJ
ejpam-5345	464	12	j.	j.	PROPN
ejpam-5345	464	13	yamini	yamini	PROPN
ejpam-5345	464	14	.	.	PROPN
ejpam-5345	465	1	initial	initial	ADJ
ejpam-5345	465	2	bounds	bound	NOUN
ejpam-5345	465	3	for	for	ADP
ejpam-5345	465	4	certain	certain	ADJ
ejpam-5345	465	5	classes	class	NOUN
ejpam-5345	465	6	of	of	ADP
ejpam-5345	465	7	biunivalent	biunivalent	NOUN
ejpam-5345	465	8	functions	function	NOUN
ejpam-5345	465	9	defined	define	VERB
ejpam-5345	465	10	by	by	ADP
ejpam-5345	465	11	horadam	horadam	PROPN
ejpam-5345	465	12	polynomials	polynomial	NOUN
ejpam-5345	465	13	.	.	PUNCT
ejpam-5345	466	1	abstr	abstr	PROPN
ejpam-5345	466	2	.	.	PUNCT
ejpam-5345	466	3	appl	appl	PROPN
ejpam-5345	466	4	.	.	PUNCT
ejpam-5345	467	1	anal	anal	PROPN
ejpam-5345	467	2	.	.	PROPN
ejpam-5345	467	3	,	,	PUNCT
ejpam-5345	467	4	art	art	NOUN
ejpam-5345	467	5	.	.	PUNCT
ejpam-5345	468	1	i	i	PRON
ejpam-5345	468	2	d	d	PROPN
ejpam-5345	468	3	7391058	7391058	NUM
ejpam-5345	468	4	:p	:p	NOUN
ejpam-5345	468	5	8	8	NUM
ejpam-5345	468	6	,	,	PUNCT
ejpam-5345	468	7	2020	2020	NUM
ejpam-5345	468	8	.	.	PUNCT
ejpam-5345	469	1	[	[	X
ejpam-5345	469	2	2	2	NUM
ejpam-5345	469	3	]	]	PUNCT
ejpam-5345	469	4	c.	c.	PROPN
ejpam-5345	469	5	abiramim	abiramim	PROPN
ejpam-5345	469	6	,	,	PUNCT
ejpam-5345	469	7	n.	n.	PROPN
ejpam-5345	469	8	magesh	magesh	PROPN
ejpam-5345	469	9	,	,	PUNCT
ejpam-5345	469	10	j.	j.	PROPN
ejpam-5345	469	11	yamini	yamini	PROPN
ejpam-5345	469	12	,	,	PUNCT
ejpam-5345	469	13	and	and	CCONJ
ejpam-5345	469	14	n.	n.	PROPN
ejpam-5345	469	15	b.	b.	PROPN
ejpam-5345	469	16	gatti	gatti	PROPN
ejpam-5345	469	17	.	.	PUNCT
ejpam-5345	470	1	horadam	horadam	PROPN
ejpam-5345	470	2	polynomial	polynomial	ADJ
ejpam-5345	470	3	coefficient	coefficient	NOUN
ejpam-5345	470	4	estimates	estimate	NOUN
ejpam-5345	470	5	for	for	ADP
ejpam-5345	470	6	the	the	DET
ejpam-5345	470	7	classes	class	NOUN
ejpam-5345	470	8	of	of	ADP
ejpam-5345	470	9	λ	λ	PROPN
ejpam-5345	470	10	-bi	-bi	ADJ
ejpam-5345	470	11	-	-	PUNCT
ejpam-5345	470	12	pseudo	pseudo	NOUN
ejpam-5345	470	13	-	-	NOUN
ejpam-5345	470	14	starlike	starlike	ADJ
ejpam-5345	470	15	and	and	CCONJ
ejpam-5345	470	16	bi	bi	ADJ
ejpam-5345	470	17	-	-	ADJ
ejpam-5345	470	18	bazilevic	bazilevic	ADJ
ejpam-5345	470	19	functions	function	NOUN
ejpam-5345	470	20	.	.	PUNCT
ejpam-5345	471	1	j.	j.	PROPN
ejpam-5345	471	2	anal	anal	PROPN
ejpam-5345	471	3	,	,	PUNCT
ejpam-5345	471	4	pages	page	NOUN
ejpam-5345	471	5	1–10	1–10	NOUN
ejpam-5345	471	6	,	,	PUNCT
ejpam-5345	471	7	2020	2020	NUM
ejpam-5345	471	8	.	.	PUNCT
ejpam-5345	472	1	[	[	X
ejpam-5345	472	2	3	3	X
ejpam-5345	472	3	]	]	X
ejpam-5345	472	4	h.	h.	NOUN
ejpam-5345	472	5	airault	airault	PROPN
ejpam-5345	472	6	and	and	CCONJ
ejpam-5345	472	7	a.	a.	PROPN
ejpam-5345	472	8	bouali	bouali	PROPN
ejpam-5345	472	9	.	.	PUNCT
ejpam-5345	473	1	differential	differential	ADJ
ejpam-5345	473	2	calculus	calculus	NOUN
ejpam-5345	473	3	on	on	ADP
ejpam-5345	473	4	the	the	DET
ejpam-5345	473	5	faber	faber	NOUN
ejpam-5345	473	6	polynomials	polynomial	NOUN
ejpam-5345	473	7	.	.	PUNCT
ejpam-5345	474	1	bull	bull	NOUN
ejpam-5345	474	2	.	.	PUNCT
ejpam-5345	475	1	sci	sci	PROPN
ejpam-5345	475	2	.	.	PUNCT
ejpam-5345	475	3	math	math	PROPN
ejpam-5345	475	4	.	.	PUNCT
ejpam-5345	475	5	,	,	PUNCT
ejpam-5345	475	6	130:179–222	130:179–222	NUM
ejpam-5345	475	7	,	,	PUNCT
ejpam-5345	475	8	2006	2006	NUM
ejpam-5345	475	9	.	.	PUNCT
ejpam-5345	476	1	[	[	X
ejpam-5345	476	2	4	4	NUM
ejpam-5345	476	3	]	]	PUNCT
ejpam-5345	476	4	a.	a.	NOUN
ejpam-5345	476	5	g.	g.	PROPN
ejpam-5345	476	6	alamoush	alamoush	PROPN
ejpam-5345	476	7	.	.	PUNCT
ejpam-5345	477	1	certain	certain	ADJ
ejpam-5345	477	2	subclasses	subclass	NOUN
ejpam-5345	477	3	of	of	ADP
ejpam-5345	477	4	bi	bi	ADJ
ejpam-5345	477	5	-	-	ADJ
ejpam-5345	477	6	univalent	univalent	ADJ
ejpam-5345	477	7	functions	function	NOUN
ejpam-5345	477	8	involving	involve	VERB
ejpam-5345	477	9	the	the	DET
ejpam-5345	477	10	poisson	poisson	NOUN
ejpam-5345	477	11	distribution	distribution	NOUN
ejpam-5345	477	12	associated	associate	VERB
ejpam-5345	477	13	with	with	ADP
ejpam-5345	477	14	horadam	horadam	PROPN
ejpam-5345	477	15	polynomials	polynomial	NOUN
ejpam-5345	477	16	.	.	PUNCT
ejpam-5345	478	1	malaya	malaya	PROPN
ejpam-5345	478	2	j.	j.	PROPN
ejpam-5345	478	3	mat	mat	PROPN
ejpam-5345	478	4	.	.	PROPN
ejpam-5345	478	5	,	,	PUNCT
ejpam-5345	478	6	7:618–624	7:618–624	NOUN
ejpam-5345	478	7	,	,	PUNCT
ejpam-5345	478	8	2019	2019	NUM
ejpam-5345	478	9	.	.	PUNCT
ejpam-5345	479	1	[	[	X
ejpam-5345	479	2	5	5	NUM
ejpam-5345	479	3	]	]	PUNCT
ejpam-5345	479	4	a.	a.	NOUN
ejpam-5345	479	5	g.	g.	PROPN
ejpam-5345	479	6	alamoush	alamoush	PROPN
ejpam-5345	479	7	.	.	PUNCT
ejpam-5345	480	1	on	on	ADP
ejpam-5345	480	2	a	a	DET
ejpam-5345	480	3	subclass	subclass	NOUN
ejpam-5345	480	4	of	of	ADP
ejpam-5345	480	5	bi	bi	ADJ
ejpam-5345	480	6	-	-	ADJ
ejpam-5345	480	7	univalent	univalent	ADJ
ejpam-5345	480	8	functions	function	NOUN
ejpam-5345	480	9	associated	associate	VERB
ejpam-5345	480	10	to	to	ADP
ejpam-5345	480	11	horadam	horadam	PROPN
ejpam-5345	480	12	polynomials	polynomial	NOUN
ejpam-5345	480	13	.	.	PUNCT
ejpam-5345	481	1	int	int	NOUN
ejpam-5345	481	2	.	.	PUNCT
ejpam-5345	482	1	j.	j.	PROPN
ejpam-5345	482	2	open	open	PROPN
ejpam-5345	482	3	problems	problem	NOUN
ejpam-5345	482	4	complex	complex	ADJ
ejpam-5345	482	5	anal	anal	NOUN
ejpam-5345	482	6	.	.	PUNCT
ejpam-5345	482	7	,	,	PUNCT
ejpam-5345	482	8	12:58–65	12:58–65	PROPN
ejpam-5345	482	9	,	,	PUNCT
ejpam-5345	482	10	2020	2020	NUM
ejpam-5345	482	11	.	.	PUNCT
ejpam-5345	483	1	[	[	X
ejpam-5345	483	2	6	6	NUM
ejpam-5345	483	3	]	]	X
ejpam-5345	483	4	h.	h.	NOUN
ejpam-5345	483	5	aldweby	aldweby	PROPN
ejpam-5345	483	6	and	and	CCONJ
ejpam-5345	483	7	m.	m.	NOUN
ejpam-5345	483	8	darus	darus	NOUN
ejpam-5345	483	9	.	.	PUNCT
ejpam-5345	484	1	some	some	DET
ejpam-5345	484	2	subordination	subordination	NOUN
ejpam-5345	484	3	results	result	VERB
ejpam-5345	484	4	on	on	ADP
ejpam-5345	484	5	qabst	qabst	PROPN
ejpam-5345	484	6	.	.	PUNCT
ejpam-5345	485	1	appl	appl	PROPN
ejpam-5345	485	2	.	.	PUNCT
ejpam-5345	486	1	anal	anal	PROPN
ejpam-5345	486	2	,	,	PUNCT
ejpam-5345	486	3	2014	2014	NUM
ejpam-5345	486	4	:	:	PUNCT
ejpam-5345	486	5	id	id	NUM
ejpam-5345	486	6	958563	958563	NUM
ejpam-5345	486	7	,	,	PUNCT
ejpam-5345	486	8	2014	2014	NUM
ejpam-5345	486	9	.	.	PUNCT
ejpam-5345	487	1	[	[	X
ejpam-5345	487	2	7	7	X
ejpam-5345	487	3	]	]	PUNCT
ejpam-5345	487	4	m.	m.	NOUN
ejpam-5345	487	5	k.	k.	PROPN
ejpam-5345	487	6	aouf	aouf	PROPN
ejpam-5345	487	7	,	,	PUNCT
ejpam-5345	487	8	a.	a.	PROPN
ejpam-5345	487	9	o.	o.	PROPN
ejpam-5345	487	10	mostafa	mostafa	PROPN
ejpam-5345	487	11	,	,	PUNCT
ejpam-5345	487	12	and	and	CCONJ
ejpam-5345	487	13	r.	r.	PROPN
ejpam-5345	487	14	e.	e.	PROPN
ejpam-5345	487	15	el	el	PROPN
ejpam-5345	487	16	.	.	PUNCT
ejpam-5345	487	17	morsy	morsy	PROPN
ejpam-5345	487	18	.	.	PUNCT
ejpam-5345	488	1	coefficient	coefficient	NOUN
ejpam-5345	488	2	bounds	bound	NOUN
ejpam-5345	488	3	for	for	ADP
ejpam-5345	488	4	general	general	ADJ
ejpam-5345	488	5	class	class	NOUN
ejpam-5345	488	6	of	of	ADP
ejpam-5345	488	7	bi	bi	ADJ
ejpam-5345	488	8	-	-	ADJ
ejpam-5345	488	9	univalent	univalent	ADJ
ejpam-5345	488	10	functions	function	NOUN
ejpam-5345	488	11	of	of	ADP
ejpam-5345	488	12	complex	complex	ADJ
ejpam-5345	488	13	order	order	NOUN
ejpam-5345	488	14	associated	associate	VERB
ejpam-5345	488	15	with	with	ADP
ejpam-5345	488	16	q	q	ADJ
ejpam-5345	488	17	-	-	PUNCT
ejpam-5345	488	18	salagean	salagean	ADJ
ejpam-5345	488	19	operator	operator	NOUN
ejpam-5345	488	20	and	and	CCONJ
ejpam-5345	488	21	chebyshev	chebyshev	NOUN
ejpam-5345	488	22	polynomials	polynomial	NOUN
ejpam-5345	488	23	.	.	PUNCT
ejpam-5345	489	1	electr	electr	PROPN
ejpam-5345	489	2	.	.	PUNCT
ejpam-5345	490	1	j.	j.	PROPN
ejpam-5345	490	2	math	math	PROPN
ejpam-5345	490	3	.	.	PUNCT
ejpam-5345	491	1	anal	anal	PROPN
ejpam-5345	491	2	.	.	PUNCT
ejpam-5345	492	1	appl	appl	PROPN
ejpam-5345	492	2	.	.	PROPN
ejpam-5345	492	3	,	,	PUNCT
ejpam-5345	492	4	8:251–260	8:251–260	NUM
ejpam-5345	492	5	,	,	PUNCT
ejpam-5345	492	6	2020	2020	NUM
ejpam-5345	492	7	.	.	PUNCT
ejpam-5345	493	1	[	[	X
ejpam-5345	493	2	8	8	NUM
ejpam-5345	493	3	]	]	X
ejpam-5345	493	4	i.	i.	PROPN
ejpam-5345	493	5	t.	t.	PROPN
ejpam-5345	493	6	awolere	awolere	PROPN
ejpam-5345	493	7	and	and	CCONJ
ejpam-5345	493	8	a.	a.	NOUN
ejpam-5345	493	9	t.	t.	PROPN
ejpam-5345	493	10	oladipo	oladipo	PROPN
ejpam-5345	493	11	.	.	PUNCT
ejpam-5345	494	1	coefficients	coefficient	NOUN
ejpam-5345	494	2	of	of	ADP
ejpam-5345	494	3	bi	bi	ADJ
ejpam-5345	494	4	-	-	ADJ
ejpam-5345	494	5	univalent	univalent	ADJ
ejpam-5345	494	6	functions	function	NOUN
ejpam-5345	494	7	involving	involve	VERB
ejpam-5345	494	8	pseudo	pseudo	NOUN
ejpam-5345	494	9	-	-	ADJ
ejpam-5345	494	10	starlikeness	starlikeness	ADJ
ejpam-5345	494	11	associated	associate	VERB
ejpam-5345	494	12	with	with	ADP
ejpam-5345	494	13	chebyshev	chebyshev	NOUN
ejpam-5345	494	14	polynomials	polynomial	NOUN
ejpam-5345	494	15	.	.	PUNCT
ejpam-5345	495	1	khayyam	khayyam	PROPN
ejpam-5345	495	2	j.	j.	PROPN
ejpam-5345	495	3	math	math	PROPN
ejpam-5345	495	4	.	.	PROPN
ejpam-5345	495	5	,	,	PUNCT
ejpam-5345	495	6	5:140–149	5:140–149	NUM
ejpam-5345	495	7	,	,	PUNCT
ejpam-5345	495	8	2019	2019	NUM
ejpam-5345	495	9	.	.	PUNCT
ejpam-5345	496	1	[	[	X
ejpam-5345	496	2	9	9	NUM
ejpam-5345	496	3	]	]	X
ejpam-5345	496	4	r.	r.	PROPN
ejpam-5345	496	5	bucur	bucur	PROPN
ejpam-5345	496	6	and	and	CCONJ
ejpam-5345	496	7	d.	d.	PROPN
ejpam-5345	496	8	breaz	breaz	PROPN
ejpam-5345	496	9	l.	l.	PROPN
ejpam-5345	496	10	andre	andre	PROPN
ejpam-5345	496	11	and	and	CCONJ
ejpam-5345	496	12	.	.	PUNCT
ejpam-5345	497	1	coefficient	coefficient	NOUN
ejpam-5345	497	2	bounds	bound	NOUN
ejpam-5345	497	3	and	and	CCONJ
ejpam-5345	497	4	fekete	fekete	PROPN
ejpam-5345	497	5	-	-	PUNCT
ejpam-5345	497	6	szego	szego	NOUN
ejpam-5345	497	7	problem	problem	NOUN
ejpam-5345	497	8	for	for	ADP
ejpam-5345	497	9	a	a	DET
ejpam-5345	497	10	class	class	NOUN
ejpam-5345	497	11	of	of	ADP
ejpam-5345	497	12	analytic	analytic	ADJ
ejpam-5345	497	13	functions	function	NOUN
ejpam-5345	497	14	defined	define	VERB
ejpam-5345	497	15	by	by	ADP
ejpam-5345	497	16	using	use	VERB
ejpam-5345	497	17	a	a	DET
ejpam-5345	497	18	new	new	ADJ
ejpam-5345	497	19	differential	differential	NOUN
ejpam-5345	497	20	operator	operator	NOUN
ejpam-5345	497	21	.	.	PUNCT
ejpam-5345	498	1	appl	appl	PROPN
ejpam-5345	498	2	.	.	PROPN
ejpam-5345	498	3	math	math	PROPN
ejpam-5345	498	4	.	.	PUNCT
ejpam-5345	499	1	sci	sci	PROPN
ejpam-5345	499	2	,	,	PUNCT
ejpam-5345	499	3	9:1355–1368	9:1355–1368	NUM
ejpam-5345	499	4	,	,	PUNCT
ejpam-5345	499	5	2015	2015	NUM
ejpam-5345	499	6	.	.	PUNCT
ejpam-5345	500	1	[	[	X
ejpam-5345	500	2	10	10	NUM
ejpam-5345	500	3	]	]	X
ejpam-5345	501	1	p.	p.	NOUN
ejpam-5345	501	2	l.	l.	PROPN
ejpam-5345	501	3	duren	duren	PROPN
ejpam-5345	501	4	.	.	PUNCT
ejpam-5345	502	1	univalent	univalent	ADJ
ejpam-5345	502	2	functions	function	NOUN
ejpam-5345	502	3	.	.	PUNCT
ejpam-5345	503	1	grundlehren	grundlehren	PROPN
ejpam-5345	503	2	der	der	PROPN
ejpam-5345	503	3	mathematischen	mathematischen	PROPN
ejpam-5345	503	4	wissenschaften	wissenschaften	VERB
ejpam-5345	503	5	,	,	PUNCT
ejpam-5345	503	6	band	band	NOUN
ejpam-5345	503	7	259	259	NUM
ejpam-5345	503	8	.	.	PUNCT
ejpam-5345	503	9	springer	springer	NOUN
ejpam-5345	503	10	-	-	PUNCT
ejpam-5345	503	11	verlag	verlag	PROPN
ejpam-5345	503	12	,	,	PUNCT
ejpam-5345	503	13	new	new	PROPN
ejpam-5345	503	14	york	york	PROPN
ejpam-5345	503	15	,	,	PUNCT
ejpam-5345	503	16	1983	1983	NUM
ejpam-5345	503	17	.	.	PUNCT
ejpam-5345	504	1	[	[	X
ejpam-5345	504	2	11	11	NUM
ejpam-5345	504	3	]	]	PUNCT
ejpam-5345	504	4	j.	j.	PROPN
ejpam-5345	504	5	dziok	dziok	PROPN
ejpam-5345	504	6	.	.	PUNCT
ejpam-5345	505	1	a	a	DET
ejpam-5345	505	2	general	general	ADJ
ejpam-5345	505	3	solution	solution	NOUN
ejpam-5345	505	4	of	of	ADP
ejpam-5345	505	5	the	the	DET
ejpam-5345	505	6	fekete	fekete	PROPN
ejpam-5345	505	7	-	-	PUNCT
ejpam-5345	505	8	szego	szego	NOUN
ejpam-5345	505	9	problem	problem	NOUN
ejpam-5345	505	10	.	.	PUNCT
ejpam-5345	506	1	boundary	boundary	ADJ
ejpam-5345	506	2	value	value	NOUN
ejpam-5345	506	3	problems	problem	NOUN
ejpam-5345	506	4	,	,	PUNCT
ejpam-5345	506	5	98:1–13	98:1–13	NUM
ejpam-5345	506	6	,	,	PUNCT
ejpam-5345	506	7	2013	2013	NUM
ejpam-5345	506	8	.	.	PUNCT
ejpam-5345	507	1	[	[	X
ejpam-5345	507	2	12	12	NUM
ejpam-5345	507	3	]	]	X
ejpam-5345	507	4	o.	o.	NOUN
ejpam-5345	507	5	a.	a.	PROPN
ejpam-5345	507	6	fadipe	fadipe	PROPN
ejpam-5345	507	7	-	-	PUNCT
ejpam-5345	507	8	joseph	joseph	PROPN
ejpam-5345	507	9	,	,	PUNCT
ejpam-5345	507	10	a.	a.	NOUN
ejpam-5345	507	11	t.	t.	PROPN
ejpam-5345	507	12	oladipo	oladipo	PROPN
ejpam-5345	507	13	,	,	PUNCT
ejpam-5345	507	14	and	and	CCONJ
ejpam-5345	507	15	u.	u.	NOUN
ejpam-5345	507	16	a.	a.	NOUN
ejpam-5345	507	17	ezeafulukwe	ezeafulukwe	PROPN
ejpam-5345	507	18	.	.	PUNCT
ejpam-5345	508	1	modified	modify	VERB
ejpam-5345	508	2	sigmoid	sigmoid	NOUN
ejpam-5345	508	3	function	function	NOUN
ejpam-5345	508	4	in	in	ADP
ejpam-5345	508	5	univalent	univalent	ADJ
ejpam-5345	508	6	function	function	NOUN
ejpam-5345	508	7	theory	theory	NOUN
ejpam-5345	508	8	.	.	PUNCT
ejpam-5345	509	1	int	int	NOUN
ejpam-5345	509	2	.	.	PUNCT
ejpam-5345	510	1	j.	j.	PROPN
ejpam-5345	510	2	math	math	PROPN
ejpam-5345	510	3	.	.	PUNCT
ejpam-5345	511	1	sci	sci	PROPN
ejpam-5345	511	2	.	.	PROPN
ejpam-5345	511	3	engr	engr	PROPN
ejpam-5345	511	4	.	.	PUNCT
ejpam-5345	512	1	appl	appl	PROPN
ejpam-5345	512	2	,	,	PUNCT
ejpam-5345	512	3	7:313–317	7:313–317	NOUN
ejpam-5345	512	4	,	,	PUNCT
ejpam-5345	512	5	2013	2013	NUM
ejpam-5345	512	6	.	.	PUNCT
ejpam-5345	513	1	references	reference	NOUN
ejpam-5345	513	2	2535	2535	NUM
ejpam-5345	513	3	[	[	X
ejpam-5345	513	4	13	13	NUM
ejpam-5345	513	5	]	]	X
ejpam-5345	513	6	o.a	o.a	PROPN
ejpam-5345	513	7	.	.	PROPN
ejpam-5345	513	8	fadipe	fadipe	PROPN
ejpam-5345	513	9	-	-	PUNCT
ejpam-5345	513	10	joseph	joseph	PROPN
ejpam-5345	513	11	,	,	PUNCT
ejpam-5345	513	12	b.b	b.b	PROPN
ejpam-5345	513	13	.	.	PROPN
ejpam-5345	513	14	kadirand	kadirand	PROPN
ejpam-5345	513	15	s.	s.	PROPN
ejpam-5345	513	16	e.	e.	PROPN
ejpam-5345	513	17	akinwumi	akinwumi	PROPN
ejpam-5345	513	18	,	,	PUNCT
ejpam-5345	513	19	and	and	CCONJ
ejpam-5345	513	20	e.	e.	PROPN
ejpam-5345	513	21	o.	o.	PROPN
ejpam-5345	513	22	adeniran	adeniran	PROPN
ejpam-5345	513	23	.	.	PUNCT
ejpam-5345	514	1	polynomial	polynomial	ADJ
ejpam-5345	514	2	bounds	bound	NOUN
ejpam-5345	514	3	for	for	ADP
ejpam-5345	514	4	a	a	DET
ejpam-5345	514	5	class	class	NOUN
ejpam-5345	514	6	of	of	ADP
ejpam-5345	514	7	univalent	univalent	ADJ
ejpam-5345	514	8	function	function	NOUN
ejpam-5345	514	9	involving	involve	VERB
ejpam-5345	514	10	sigmoid	sigmoid	NOUN
ejpam-5345	514	11	function	function	NOUN
ejpam-5345	514	12	.	.	PUNCT
ejpam-5345	515	1	khayyam	khayyam	PROPN
ejpam-5345	515	2	j.	j.	PROPN
ejpam-5345	515	3	math	math	PROPN
ejpam-5345	515	4	,	,	PUNCT
ejpam-5345	515	5	4:88–101	4:88–101	NUM
ejpam-5345	515	6	,	,	PUNCT
ejpam-5345	515	7	2018	2018	NUM
ejpam-5345	515	8	.	.	PUNCT
ejpam-5345	516	1	[	[	X
ejpam-5345	516	2	14	14	NUM
ejpam-5345	516	3	]	]	PUNCT
ejpam-5345	516	4	m.	m.	NOUN
ejpam-5345	516	5	fekete	fekete	PROPN
ejpam-5345	516	6	and	and	CCONJ
ejpam-5345	516	7	g.	g.	PROPN
ejpam-5345	516	8	szegő.	szegő.	PROPN
ejpam-5345	516	9	eine	eine	PROPN
ejpam-5345	516	10	bemerkung	bemerkung	PROPN
ejpam-5345	516	11	über	über	PROPN
ejpam-5345	516	12	ungerade	ungerade	PROPN
ejpam-5345	516	13	schlichte	schlichte	PROPN
ejpam-5345	516	14	funktionen	funktionen	PROPN
ejpam-5345	516	15	.	.	PUNCT
ejpam-5345	517	1	j.	j.	PROPN
ejpam-5345	517	2	lond	lond	PROPN
ejpam-5345	517	3	.	.	PUNCT
ejpam-5345	518	1	math	math	PROPN
ejpam-5345	518	2	.	.	PUNCT
ejpam-5345	519	1	soc	soc	PROPN
ejpam-5345	519	2	,	,	PUNCT
ejpam-5345	519	3	8:85–89	8:85–89	NUM
ejpam-5345	519	4	,	,	PUNCT
ejpam-5345	519	5	1933	1933	NUM
ejpam-5345	519	6	.	.	PUNCT
ejpam-5345	520	1	[	[	X
ejpam-5345	520	2	15	15	X
ejpam-5345	520	3	]	]	X
ejpam-5345	520	4	p.	p.	NOUN
ejpam-5345	520	5	filipponi	filipponi	PROPN
ejpam-5345	520	6	and	and	CCONJ
ejpam-5345	520	7	a.	a.	PROPN
ejpam-5345	520	8	f.	f.	PROPN
ejpam-5345	520	9	horadam	horadam	PROPN
ejpam-5345	520	10	.	.	PUNCT
ejpam-5345	521	1	derivative	derivative	ADJ
ejpam-5345	521	2	sequences	sequence	NOUN
ejpam-5345	521	3	of	of	ADP
ejpam-5345	521	4	fibonacci	fibonacci	PROPN
ejpam-5345	521	5	and	and	CCONJ
ejpam-5345	521	6	lucas	lucas	PROPN
ejpam-5345	521	7	polynomials	polynomial	NOUN
ejpam-5345	521	8	.	.	PUNCT
ejpam-5345	522	1	in	in	ADP
ejpam-5345	522	2	:	:	PUNCT
ejpam-5345	522	3	g.	g.	PROPN
ejpam-5345	522	4	e.	e.	PROPN
ejpam-5345	522	5	bergum	bergum	PROPN
ejpam-5345	522	6	,	,	PUNCT
ejpam-5345	522	7	a.	a.	PROPN
ejpam-5345	522	8	n.	n.	PROPN
ejpam-5345	522	9	philippou	philippou	PROPN
ejpam-5345	522	10	,	,	PUNCT
ejpam-5345	522	11	a.	a.	PROPN
ejpam-5345	522	12	f.	f.	PROPN
ejpam-5345	522	13	horadam	horadam	PROPN
ejpam-5345	522	14	(	(	PUNCT
ejpam-5345	522	15	eds	ed	NOUN
ejpam-5345	522	16	)	)	PUNCT
ejpam-5345	522	17	applications	application	NOUN
ejpam-5345	522	18	of	of	ADP
ejpam-5345	522	19	fibonacci	fibonacci	NOUN
ejpam-5345	522	20	numbers	number	NOUN
ejpam-5345	522	21	,	,	PUNCT
ejpam-5345	522	22	4:99–108	4:99–108	NUM
ejpam-5345	522	23	,	,	PUNCT
ejpam-5345	522	24	1991	1991	NUM
ejpam-5345	522	25	.	.	PUNCT
ejpam-5345	523	1	[	[	X
ejpam-5345	523	2	16	16	NUM
ejpam-5345	523	3	]	]	X
ejpam-5345	523	4	b.	b.	PROPN
ejpam-5345	523	5	a.	a.	PROPN
ejpam-5345	523	6	frasin	frasin	PROPN
ejpam-5345	523	7	and	and	CCONJ
ejpam-5345	523	8	m.	m.	PROPN
ejpam-5345	523	9	k.	k.	PROPN
ejpam-5345	523	10	aouf	aouf	PROPN
ejpam-5345	523	11	.	.	PUNCT
ejpam-5345	524	1	new	new	ADJ
ejpam-5345	524	2	subclasses	subclass	NOUN
ejpam-5345	524	3	of	of	ADP
ejpam-5345	524	4	bi	bi	ADJ
ejpam-5345	524	5	-	-	ADJ
ejpam-5345	524	6	univalent	univalent	ADJ
ejpam-5345	524	7	functions	function	NOUN
ejpam-5345	524	8	.	.	PUNCT
ejpam-5345	525	1	appl	appl	PROPN
ejpam-5345	525	2	.	.	PROPN
ejpam-5345	525	3	math	math	PROPN
ejpam-5345	525	4	.	.	PUNCT
ejpam-5345	526	1	lett	lett	PROPN
ejpam-5345	526	2	.	.	PROPN
ejpam-5345	526	3	,	,	PUNCT
ejpam-5345	526	4	22:1569–1573	22:1569–1573	NUM
ejpam-5345	526	5	,	,	PUNCT
ejpam-5345	526	6	2011	2011	NUM
ejpam-5345	526	7	.	.	PUNCT
ejpam-5345	527	1	[	[	X
ejpam-5345	527	2	17	17	NUM
ejpam-5345	527	3	]	]	X
ejpam-5345	527	4	b.	b.	PROPN
ejpam-5345	527	5	a.	a.	PROPN
ejpam-5345	527	6	frasin	frasin	PROPN
ejpam-5345	527	7	,	,	PUNCT
ejpam-5345	527	8	y.	y.	PROPN
ejpam-5345	527	9	sailaja	sailaja	PROPN
ejpam-5345	527	10	,	,	PUNCT
ejpam-5345	527	11	s.	s.	PROPN
ejpam-5345	527	12	r.	r.	PROPN
ejpam-5345	527	13	swamy	swamy	PROPN
ejpam-5345	527	14	,	,	PUNCT
ejpam-5345	527	15	and	and	CCONJ
ejpam-5345	527	16	a.	a.	PROPN
ejpam-5345	527	17	k.	k.	PROPN
ejpam-5345	527	18	wanas	wanas	PROPN
ejpam-5345	527	19	.	.	PUNCT
ejpam-5345	528	1	coefficients	coefficient	NOUN
ejpam-5345	528	2	bounds	bound	VERB
ejpam-5345	528	3	for	for	ADP
ejpam-5345	528	4	a	a	DET
ejpam-5345	528	5	family	family	NOUN
ejpam-5345	528	6	of	of	ADP
ejpam-5345	528	7	bi	bi	ADJ
ejpam-5345	528	8	-	-	ADJ
ejpam-5345	528	9	univalent	univalent	ADJ
ejpam-5345	528	10	functions	function	NOUN
ejpam-5345	528	11	defined	define	VERB
ejpam-5345	528	12	by	by	ADP
ejpam-5345	528	13	horadam	horadam	PROPN
ejpam-5345	528	14	polynomials	polynomial	NOUN
ejpam-5345	528	15	.	.	PUNCT
ejpam-5345	529	1	acta	acta	PROPN
ejpam-5345	529	2	comment	comment	PROPN
ejpam-5345	529	3	.	.	PUNCT
ejpam-5345	530	1	univ	univ	PROPN
ejpam-5345	530	2	.	.	PROPN
ejpam-5345	530	3	tartu	tartu	PROPN
ejpam-5345	530	4	.	.	PUNCT
ejpam-5345	531	1	math	math	PROPN
ejpam-5345	531	2	.	.	PUNCT
ejpam-5345	531	3	,	,	PUNCT
ejpam-5345	532	1	6:25–32	6:25–32	NOUN
ejpam-5345	532	2	,	,	PUNCT
ejpam-5345	532	3	2022	2022	NUM
ejpam-5345	532	4	.	.	PUNCT
ejpam-5345	533	1	[	[	X
ejpam-5345	533	2	18	18	NUM
ejpam-5345	533	3	]	]	X
ejpam-5345	533	4	b.a	b.a	PROPN
ejpam-5345	533	5	.	.	PROPN
ejpam-5345	533	6	frasin	frasin	PROPN
ejpam-5345	533	7	,	,	PUNCT
ejpam-5345	533	8	s.r	s.r	PROPN
ejpam-5345	533	9	.	.	PROPN
ejpam-5345	533	10	swamy	swamy	PROPN
ejpam-5345	533	11	,	,	PUNCT
ejpam-5345	533	12	and	and	CCONJ
ejpam-5345	533	13	j.	j.	PROPN
ejpam-5345	533	14	nirmala	nirmala	PROPN
ejpam-5345	533	15	.	.	PUNCT
ejpam-5345	534	1	some	some	DET
ejpam-5345	534	2	special	special	ADJ
ejpam-5345	534	3	families	family	NOUN
ejpam-5345	534	4	of	of	ADP
ejpam-5345	534	5	holomorphic	holomorphic	PROPN
ejpam-5345	534	6	and	and	CCONJ
ejpam-5345	534	7	al	al	PROPN
ejpam-5345	534	8	-	-	PUNCT
ejpam-5345	534	9	oboudi	oboudi	ADJ
ejpam-5345	534	10	type	type	NOUN
ejpam-5345	534	11	bi	bi	ADJ
ejpam-5345	534	12	-	-	ADJ
ejpam-5345	534	13	univalent	univalent	ADJ
ejpam-5345	534	14	functions	function	NOUN
ejpam-5345	534	15	related	relate	VERB
ejpam-5345	534	16	to	to	ADP
ejpam-5345	534	17	k	k	ADJ
ejpam-5345	534	18	-	-	PUNCT
ejpam-5345	534	19	fibonacci	fibonacci	NOUN
ejpam-5345	534	20	numbers	number	NOUN
ejpam-5345	534	21	involving	involve	VERB
ejpam-5345	534	22	modified	modify	VERB
ejpam-5345	534	23	sigmoid	sigmoid	NOUN
ejpam-5345	534	24	activation	activation	NOUN
ejpam-5345	534	25	function	function	NOUN
ejpam-5345	534	26	.	.	PUNCT
ejpam-5345	535	1	afr	afr	PROPN
ejpam-5345	535	2	.	.	PUNCT
ejpam-5345	536	1	mat	mat	PROPN
ejpam-5345	536	2	.	.	PROPN
ejpam-5345	536	3	,	,	PUNCT
ejpam-5345	536	4	32:631–643	32:631–643	NUM
ejpam-5345	536	5	,	,	PUNCT
ejpam-5345	536	6	2021	2021	NUM
ejpam-5345	536	7	.	.	PUNCT
ejpam-5345	537	1	[	[	X
ejpam-5345	537	2	19	19	NUM
ejpam-5345	537	3	]	]	PUNCT
ejpam-5345	537	4	m.	m.	NOUN
ejpam-5345	537	5	govindaraj	govindaraj	NOUN
ejpam-5345	537	6	and	and	CCONJ
ejpam-5345	537	7	s.	s.	PROPN
ejpam-5345	537	8	sivasubramanian	sivasubramanian	PROPN
ejpam-5345	537	9	.	.	PUNCT
ejpam-5345	538	1	on	on	ADP
ejpam-5345	538	2	a	a	DET
ejpam-5345	538	3	class	class	NOUN
ejpam-5345	538	4	of	of	ADP
ejpam-5345	538	5	analytic	analytic	ADJ
ejpam-5345	538	6	functions	function	NOUN
ejpam-5345	538	7	related	relate	VERB
ejpam-5345	538	8	to	to	ADP
ejpam-5345	538	9	conic	conic	ADJ
ejpam-5345	538	10	domains	domain	NOUN
ejpam-5345	538	11	involving	involve	VERB
ejpam-5345	538	12	q	q	NOUN
ejpam-5345	538	13	-	-	PUNCT
ejpam-5345	538	14	calculus	calculus	NOUN
ejpam-5345	538	15	.	.	PUNCT
ejpam-5345	539	1	analysis	analysis	NOUN
ejpam-5345	539	2	mathematica	mathematica	PROPN
ejpam-5345	539	3	,	,	PUNCT
ejpam-5345	539	4	43:1–13	43:1–13	NUM
ejpam-5345	539	5	,	,	PUNCT
ejpam-5345	539	6	2017	2017	NUM
ejpam-5345	539	7	.	.	PUNCT
ejpam-5345	540	1	[	[	X
ejpam-5345	540	2	20	20	NUM
ejpam-5345	540	3	]	]	PUNCT
ejpam-5345	540	4	a.	a.	NOUN
ejpam-5345	540	5	f.	f.	PROPN
ejpam-5345	540	6	horadam	horadam	PROPN
ejpam-5345	540	7	.	.	PUNCT
ejpam-5345	541	1	acobsthal	acobsthal	ADJ
ejpam-5345	541	2	representation	representation	NOUN
ejpam-5345	541	3	polynomials	polynomial	NOUN
ejpam-5345	541	4	.	.	PUNCT
ejpam-5345	542	1	fibonacci	fibonacci	PROPN
ejpam-5345	542	2	quart	quart	PROPN
ejpam-5345	542	3	.	.	PUNCT
ejpam-5345	542	4	,	,	PUNCT
ejpam-5345	542	5	35:137–148	35:137–148	NUM
ejpam-5345	542	6	.	.	PUNCT
ejpam-5345	542	7	,	,	PUNCT
ejpam-5345	542	8	1997	1997	NUM
ejpam-5345	542	9	.	.	PUNCT
ejpam-5345	543	1	[	[	X
ejpam-5345	543	2	21	21	NUM
ejpam-5345	543	3	]	]	PUNCT
ejpam-5345	543	4	a.	a.	PROPN
ejpam-5345	543	5	f.	f.	PROPN
ejpam-5345	543	6	horadam	horadam	PROPN
ejpam-5345	543	7	and	and	CCONJ
ejpam-5345	543	8	j.	j.	PROPN
ejpam-5345	543	9	m.	m.	PROPN
ejpam-5345	543	10	mahon	mahon	PROPN
ejpam-5345	543	11	.	.	PUNCT
ejpam-5345	544	1	pell	pell	VERB
ejpam-5345	544	2	and	and	CCONJ
ejpam-5345	544	3	pell	pell	NOUN
ejpam-5345	544	4	-	-	PUNCT
ejpam-5345	544	5	lucas	lucas	NOUN
ejpam-5345	544	6	polynomials	polynomial	NOUN
ejpam-5345	544	7	.	.	PUNCT
ejpam-5345	545	1	fibonacci	fibonacci	PROPN
ejpam-5345	545	2	quart	quart	PROPN
ejpam-5345	545	3	,	,	PUNCT
ejpam-5345	545	4	23:7–20	23:7–20	NUM
ejpam-5345	545	5	,	,	PUNCT
ejpam-5345	545	6	1985	1985	NUM
ejpam-5345	545	7	.	.	PUNCT
ejpam-5345	546	1	[	[	X
ejpam-5345	546	2	22	22	NUM
ejpam-5345	546	3	]	]	PUNCT
ejpam-5345	546	4	t.	t.	NOUN
ejpam-5345	546	5	hörçum	hörçum	ADJ
ejpam-5345	546	6	and	and	CCONJ
ejpam-5345	546	7	e.g.	e.g.	ADV
ejpam-5345	546	8	koçer	koçer	PROPN
ejpam-5345	546	9	.	.	PUNCT
ejpam-5345	547	1	on	on	ADP
ejpam-5345	547	2	some	some	DET
ejpam-5345	547	3	properties	property	NOUN
ejpam-5345	547	4	of	of	ADP
ejpam-5345	547	5	horadam	horadam	NOUN
ejpam-5345	547	6	polynomials	polynomial	NOUN
ejpam-5345	547	7	.	.	PUNCT
ejpam-5345	548	1	internat	internat	PROPN
ejpam-5345	548	2	.	.	PUNCT
ejpam-5345	549	1	math	math	PROPN
ejpam-5345	549	2	.	.	PUNCT
ejpam-5345	550	1	forum	forum	PROPN
ejpam-5345	550	2	.	.	PROPN
ejpam-5345	550	3	,	,	PUNCT
ejpam-5345	550	4	4:1243–1252	4:1243–1252	NUM
ejpam-5345	550	5	,	,	PUNCT
ejpam-5345	550	6	2009	2009	NUM
ejpam-5345	550	7	.	.	PUNCT
ejpam-5345	551	1	[	[	X
ejpam-5345	551	2	23	23	NUM
ejpam-5345	551	3	]	]	PUNCT
ejpam-5345	551	4	m.	m.	PROPN
ejpam-5345	551	5	e.	e.	PROPN
ejpam-5345	551	6	h.	h.	PROPN
ejpam-5345	551	7	ismail	ismail	PROPN
ejpam-5345	551	8	,	,	PUNCT
ejpam-5345	551	9	e.	e.	PROPN
ejpam-5345	551	10	merkes	merkes	PROPN
ejpam-5345	551	11	,	,	PUNCT
ejpam-5345	551	12	and	and	CCONJ
ejpam-5345	551	13	d.	d.	PROPN
ejpam-5345	551	14	styer	styer	PROPN
ejpam-5345	551	15	.	.	PUNCT
ejpam-5345	552	1	a	a	DET
ejpam-5345	552	2	generalization	generalization	NOUN
ejpam-5345	552	3	of	of	ADP
ejpam-5345	552	4	starlike	starlike	NOUN
ejpam-5345	552	5	functions	function	NOUN
ejpam-5345	552	6	.	.	PUNCT
ejpam-5345	553	1	com	com	NOUN
ejpam-5345	553	2	.	.	PUNCT
ejpam-5345	553	3	vari	vari	PROPN
ejpam-5345	553	4	.	.	PUNCT
ejpam-5345	554	1	theo	theo	PROPN
ejpam-5345	554	2	.	.	PUNCT
ejpam-5345	555	1	appl	appl	PROPN
ejpam-5345	555	2	,	,	PUNCT
ejpam-5345	555	3	14:77–84	14:77–84	NOUN
ejpam-5345	555	4	,	,	PUNCT
ejpam-5345	555	5	1990	1990	NUM
ejpam-5345	555	6	.	.	PUNCT
ejpam-5345	556	1	[	[	X
ejpam-5345	556	2	24	24	NUM
ejpam-5345	556	3	]	]	X
ejpam-5345	556	4	f.	f.	PROPN
ejpam-5345	556	5	h.	h.	PROPN
ejpam-5345	556	6	jackson	jackson	PROPN
ejpam-5345	556	7	.	.	PUNCT
ejpam-5345	557	1	on	on	ADP
ejpam-5345	557	2	q	q	NOUN
ejpam-5345	557	3	-	-	PUNCT
ejpam-5345	557	4	functions	function	NOUN
ejpam-5345	557	5	and	and	CCONJ
ejpam-5345	557	6	a	a	DET
ejpam-5345	557	7	certain	certain	ADJ
ejpam-5345	557	8	difference	difference	NOUN
ejpam-5345	557	9	operator	operator	NOUN
ejpam-5345	557	10	.	.	PUNCT
ejpam-5345	558	1	trans	trans	PROPN
ejpam-5345	558	2	.	.	PUNCT
ejpam-5345	559	1	royal	royal	ADJ
ejpam-5345	559	2	soc	soc	PROPN
ejpam-5345	559	3	.	.	PUNCT
ejpam-5345	560	1	edinburgh	edinburgh	PROPN
ejpam-5345	560	2	,	,	PUNCT
ejpam-5345	560	3	46:253–281	46:253–281	PROPN
ejpam-5345	560	4	,	,	PUNCT
ejpam-5345	560	5	1908	1908	NUM
ejpam-5345	560	6	.	.	PUNCT
ejpam-5345	561	1	[	[	X
ejpam-5345	561	2	25	25	NUM
ejpam-5345	561	3	]	]	X
ejpam-5345	561	4	f.	f.	PROPN
ejpam-5345	561	5	h.	h.	PROPN
ejpam-5345	561	6	jackson	jackson	PROPN
ejpam-5345	561	7	.	.	PUNCT
ejpam-5345	562	1	on	on	ADP
ejpam-5345	562	2	q	q	ADJ
ejpam-5345	562	3	-	-	ADJ
ejpam-5345	562	4	definite	definite	ADJ
ejpam-5345	562	5	integrals	integral	NOUN
ejpam-5345	562	6	.	.	PUNCT
ejpam-5345	563	1	quart	quart	NOUN
ejpam-5345	563	2	.	.	PUNCT
ejpam-5345	564	1	j.	j.	PROPN
ejpam-5345	564	2	pure	pure	PROPN
ejpam-5345	564	3	appl	appl	PROPN
ejpam-5345	564	4	.	.	PUNCT
ejpam-5345	564	5	math	math	PROPN
ejpam-5345	564	6	,	,	PUNCT
ejpam-5345	564	7	41:193–203	41:193–203	PROPN
ejpam-5345	564	8	,	,	PUNCT
ejpam-5345	564	9	1910	1910	NUM
ejpam-5345	564	10	.	.	PUNCT
ejpam-5345	565	1	[	[	X
ejpam-5345	565	2	26	26	NUM
ejpam-5345	565	3	]	]	PUNCT
ejpam-5345	565	4	s.	s.	PROPN
ejpam-5345	565	5	kanas	kanas	PROPN
ejpam-5345	565	6	and	and	CCONJ
ejpam-5345	565	7	d.	d.	PROPN
ejpam-5345	565	8	raducanu	raducanu	PROPN
ejpam-5345	565	9	.	.	PUNCT
ejpam-5345	566	1	some	some	DET
ejpam-5345	566	2	class	class	NOUN
ejpam-5345	566	3	of	of	ADP
ejpam-5345	566	4	analytic	analytic	ADJ
ejpam-5345	566	5	functions	function	NOUN
ejpam-5345	566	6	related	relate	VERB
ejpam-5345	566	7	to	to	ADP
ejpam-5345	566	8	conic	conic	ADJ
ejpam-5345	566	9	domains	domain	NOUN
ejpam-5345	566	10	.	.	PUNCT
ejpam-5345	566	11	math	math	NOUN
ejpam-5345	566	12	.	.	PUNCT
ejpam-5345	567	1	slovaca	slovaca	PROPN
ejpam-5345	567	2	,	,	PUNCT
ejpam-5345	567	3	64:1183–1196	64:1183–1196	NUM
ejpam-5345	567	4	,	,	PUNCT
ejpam-5345	567	5	2014	2014	NUM
ejpam-5345	567	6	.	.	PUNCT
ejpam-5345	568	1	[	[	X
ejpam-5345	568	2	27	27	NUM
ejpam-5345	568	3	]	]	PUNCT
ejpam-5345	568	4	t.	t.	PROPN
ejpam-5345	568	5	koshy	koshy	PROPN
ejpam-5345	568	6	.	.	PUNCT
ejpam-5345	569	1	fibonacci	fibonacci	PROPN
ejpam-5345	569	2	and	and	CCONJ
ejpam-5345	569	3	lucas	lucas	PROPN
ejpam-5345	569	4	numbers	number	NOUN
ejpam-5345	569	5	with	with	ADP
ejpam-5345	569	6	applications	application	NOUN
ejpam-5345	569	7	.	.	PUNCT
ejpam-5345	570	1	john	john	PROPN
ejpam-5345	570	2	wiley	wiley	PROPN
ejpam-5345	570	3	and	and	CCONJ
ejpam-5345	570	4	sons	son	NOUN
ejpam-5345	570	5	:	:	PUNCT
ejpam-5345	570	6	new	new	PROPN
ejpam-5345	570	7	york	york	PROPN
ejpam-5345	570	8	,	,	PUNCT
ejpam-5345	570	9	ny	ny	PROPN
ejpam-5345	570	10	,	,	PUNCT
ejpam-5345	570	11	usa	usa	PROPN
ejpam-5345	570	12	,	,	PUNCT
ejpam-5345	570	13	2001	2001	NUM
ejpam-5345	570	14	.	.	PUNCT
ejpam-5345	571	1	references	reference	NOUN
ejpam-5345	571	2	2536	2536	NUM
ejpam-5345	571	3	[	[	X
ejpam-5345	571	4	28	28	NUM
ejpam-5345	571	5	]	]	PUNCT
ejpam-5345	571	6	a.	a.	NOUN
ejpam-5345	571	7	lupas	lupas	PROPN
ejpam-5345	571	8	.	.	PUNCT
ejpam-5345	572	1	a	a	DET
ejpam-5345	572	2	guide	guide	NOUN
ejpam-5345	572	3	of	of	ADP
ejpam-5345	572	4	fibonacci	fibonacci	NOUN
ejpam-5345	572	5	and	and	CCONJ
ejpam-5345	572	6	lucas	lucas	PROPN
ejpam-5345	572	7	polynomials	polynomial	NOUN
ejpam-5345	572	8	.	.	PUNCT
ejpam-5345	573	1	octagon	octagon	PROPN
ejpam-5345	573	2	math	math	PROPN
ejpam-5345	573	3	.	.	PUNCT
ejpam-5345	574	1	mag	mag	PROPN
ejpam-5345	574	2	.	.	PROPN
ejpam-5345	574	3	,	,	PUNCT
ejpam-5345	574	4	7:2–12	7:2–12	NUM
ejpam-5345	574	5	,	,	PUNCT
ejpam-5345	574	6	1999	1999	NUM
ejpam-5345	574	7	.	.	PUNCT
ejpam-5345	575	1	[	[	X
ejpam-5345	575	2	29	29	NUM
ejpam-5345	575	3	]	]	X
ejpam-5345	575	4	n.	n.	NOUN
ejpam-5345	575	5	magesh	magesh	PROPN
ejpam-5345	575	6	and	and	CCONJ
ejpam-5345	575	7	s.	s.	PROPN
ejpam-5345	575	8	bulut	bulut	PROPN
ejpam-5345	575	9	.	.	PUNCT
ejpam-5345	576	1	chebyshev	chebyshev	PROPN
ejpam-5345	576	2	polynomial	polynomial	ADJ
ejpam-5345	576	3	coefficient	coefficient	NOUN
ejpam-5345	576	4	estimates	estimate	NOUN
ejpam-5345	576	5	for	for	ADP
ejpam-5345	576	6	a	a	DET
ejpam-5345	576	7	class	class	NOUN
ejpam-5345	576	8	of	of	ADP
ejpam-5345	576	9	analytic	analytic	ADJ
ejpam-5345	576	10	bi	bi	ADJ
ejpam-5345	576	11	-	-	ADJ
ejpam-5345	576	12	univalent	univalent	ADJ
ejpam-5345	576	13	functions	function	NOUN
ejpam-5345	576	14	related	relate	VERB
ejpam-5345	576	15	to	to	ADP
ejpam-5345	576	16	pseudo	pseudo	NOUN
ejpam-5345	576	17	-	-	ADJ
ejpam-5345	576	18	starlike	starlike	ADJ
ejpam-5345	576	19	functions	function	NOUN
ejpam-5345	576	20	.	.	PUNCT
ejpam-5345	577	1	afr	afr	PROPN
ejpam-5345	577	2	.	.	PUNCT
ejpam-5345	578	1	mat	mat	PROPN
ejpam-5345	578	2	.	.	PROPN
ejpam-5345	578	3	,	,	PUNCT
ejpam-5345	578	4	29:203	29:203	NUM
ejpam-5345	578	5	–	–	PUNCT
ejpam-5345	578	6	209	209	NUM
ejpam-5345	578	7	,	,	PUNCT
ejpam-5345	578	8	2018	2018	NUM
ejpam-5345	578	9	.	.	PUNCT
ejpam-5345	579	1	[	[	X
ejpam-5345	579	2	30	30	NUM
ejpam-5345	579	3	]	]	X
ejpam-5345	579	4	s.	s.	PROPN
ejpam-5345	579	5	selvaraj	selvaraj	PROPN
ejpam-5345	579	6	o.	o.	PROPN
ejpam-5345	579	7	s.	s.	PROPN
ejpam-5345	579	8	babu	babu	PROPN
ejpam-5345	579	9	and	and	CCONJ
ejpam-5345	579	10	g.murugusundaramoorthy	g.murugusundaramoorthy	NOUN
ejpam-5345	579	11	.	.	PUNCT
ejpam-5345	580	1	subclasses	subclass	NOUN
ejpam-5345	580	2	of	of	ADP
ejpam-5345	580	3	bi	bi	ADJ
ejpam-5345	580	4	-	-	ADJ
ejpam-5345	580	5	univalent	univalent	ADJ
ejpam-5345	580	6	functions	function	NOUN
ejpam-5345	580	7	based	base	VERB
ejpam-5345	580	8	on	on	ADP
ejpam-5345	580	9	hohlov	hohlov	NOUN
ejpam-5345	580	10	operator	operator	NOUN
ejpam-5345	580	11	.	.	PUNCT
ejpam-5345	581	1	int	int	NOUN
ejpam-5345	581	2	.	.	PUNCT
ejpam-5345	582	1	j.	j.	PROPN
ejpam-5345	582	2	pure	pure	PROPN
ejpam-5345	582	3	appl	appl	PROPN
ejpam-5345	582	4	.	.	PUNCT
ejpam-5345	582	5	math	math	PROPN
ejpam-5345	582	6	.	.	PUNCT
ejpam-5345	582	7	,	,	PUNCT
ejpam-5345	582	8	102:473–482	102:473–482	NUM
ejpam-5345	582	9	,	,	PUNCT
ejpam-5345	582	10	2015	2015	NUM
ejpam-5345	582	11	.	.	PUNCT
ejpam-5345	583	1	[	[	X
ejpam-5345	583	2	31	31	NUM
ejpam-5345	583	3	]	]	PUNCT
ejpam-5345	583	4	s.	s.	PROPN
ejpam-5345	583	5	d.	d.	PROPN
ejpam-5345	583	6	purohit	purohit	PROPN
ejpam-5345	583	7	and	and	CCONJ
ejpam-5345	583	8	r.	r.	PROPN
ejpam-5345	583	9	k	k	PROPN
ejpam-5345	583	10	raina	raina	PROPN
ejpam-5345	583	11	.	.	PUNCT
ejpam-5345	584	1	certain	certain	ADJ
ejpam-5345	584	2	subclasses	subclass	NOUN
ejpam-5345	584	3	of	of	ADP
ejpam-5345	584	4	analytic	analytic	ADJ
ejpam-5345	584	5	functions	function	NOUN
ejpam-5345	584	6	associated	associate	VERB
ejpam-5345	584	7	with	with	ADP
ejpam-5345	584	8	fractional	fractional	ADJ
ejpam-5345	584	9	q	q	ADJ
ejpam-5345	584	10	-	-	PUNCT
ejpam-5345	584	11	calculus	calculus	ADJ
ejpam-5345	584	12	operators	operator	NOUN
ejpam-5345	584	13	.	.	PUNCT
ejpam-5345	585	1	math	math	NOUN
ejpam-5345	585	2	.	.	PUNCT
ejpam-5345	586	1	scand	scand	PROPN
ejpam-5345	586	2	,	,	PUNCT
ejpam-5345	586	3	109:55–70	109:55–70	NUM
ejpam-5345	586	4	,	,	PUNCT
ejpam-5345	586	5	2011	2011	NUM
ejpam-5345	586	6	.	.	PUNCT
ejpam-5345	587	1	[	[	X
ejpam-5345	587	2	32	32	NUM
ejpam-5345	587	3	]	]	PUNCT
ejpam-5345	587	4	v.	v.	CCONJ
ejpam-5345	587	5	ravichandran	ravichandran	PROPN
ejpam-5345	587	6	r.	r.	PROPN
ejpam-5345	587	7	m.	m.	PROPN
ejpam-5345	587	8	ali	ali	PROPN
ejpam-5345	587	9	,	,	PUNCT
ejpam-5345	587	10	s.	s.	PROPN
ejpam-5345	587	11	k.	k.	PROPN
ejpam-5345	587	12	lee	lee	PROPN
ejpam-5345	587	13	and	and	CCONJ
ejpam-5345	587	14	s.	s.	PROPN
ejpam-5345	587	15	subramaniam	subramaniam	PROPN
ejpam-5345	587	16	.	.	PUNCT
ejpam-5345	588	1	coefficient	coefficient	NOUN
ejpam-5345	588	2	estimates	estimate	NOUN
ejpam-5345	588	3	for	for	ADP
ejpam-5345	588	4	bi	bi	ADJ
ejpam-5345	588	5	-	-	ADJ
ejpam-5345	588	6	univalent	univalent	ADJ
ejpam-5345	588	7	ma	ma	PROPN
ejpam-5345	588	8	-	-	PUNCT
ejpam-5345	588	9	minda	minda	PROPN
ejpam-5345	588	10	starlike	starlike	PROPN
ejpam-5345	588	11	and	and	CCONJ
ejpam-5345	588	12	convex	convex	NOUN
ejpam-5345	588	13	functions	function	NOUN
ejpam-5345	588	14	.	.	PUNCT
ejpam-5345	589	1	appl	appl	PROPN
ejpam-5345	589	2	.	.	PROPN
ejpam-5345	589	3	math	math	PROPN
ejpam-5345	589	4	.	.	PUNCT
ejpam-5345	590	1	lett	lett	PROPN
ejpam-5345	590	2	.	.	PROPN
ejpam-5345	590	3	,	,	PUNCT
ejpam-5345	590	4	25:344–351	25:344–351	PROPN
ejpam-5345	590	5	,	,	PUNCT
ejpam-5345	590	6	2012	2012	NUM
ejpam-5345	590	7	.	.	PUNCT
ejpam-5345	591	1	[	[	X
ejpam-5345	591	2	33	33	NUM
ejpam-5345	591	3	]	]	PUNCT
ejpam-5345	591	4	g.	g.	PROPN
ejpam-5345	591	5	s.	s.	PROPN
ejpam-5345	591	6	salagean	salagean	PROPN
ejpam-5345	591	7	.	.	PUNCT
ejpam-5345	592	1	subclasses	subclass	NOUN
ejpam-5345	592	2	of	of	ADP
ejpam-5345	592	3	univalent	univalent	ADJ
ejpam-5345	592	4	functions	function	NOUN
ejpam-5345	592	5	.	.	PUNCT
ejpam-5345	593	1	in	in	ADP
ejpam-5345	593	2	:	:	PUNCT
ejpam-5345	593	3	complex	complex	ADJ
ejpam-5345	593	4	analysis	analysis	NOUN
ejpam-5345	593	5	,	,	PUNCT
ejpam-5345	593	6	fifthromanian	fifthromanian	ADJ
ejpam-5345	593	7	–	–	PUNCT
ejpam-5345	593	8	finnish	finnish	ADJ
ejpam-5345	593	9	seminar	seminar	NOUN
ejpam-5345	593	10	,	,	PUNCT
ejpam-5345	593	11	part	part	NOUN
ejpam-5345	593	12	1	1	NUM
ejpam-5345	593	13	(	(	PUNCT
ejpam-5345	593	14	bucharest	buchar	ADJ
ejpam-5345	593	15	,	,	PUNCT
ejpam-5345	593	16	1981	1981	NUM
ejpam-5345	593	17	)	)	PUNCT
ejpam-5345	593	18	,	,	PUNCT
ejpam-5345	593	19	lecture	lecture	NOUN
ejpam-5345	593	20	notes	note	NOUN
ejpam-5345	593	21	inmathematics	inmathematic	NOUN
ejpam-5345	593	22	,	,	PUNCT
ejpam-5345	593	23	1013:362–372	1013:362–372	NOUN
ejpam-5345	593	24	,	,	PUNCT
ejpam-5345	593	25	1983	1983	NUM
ejpam-5345	593	26	.	.	PUNCT
ejpam-5345	594	1	[	[	X
ejpam-5345	594	2	34	34	NUM
ejpam-5345	594	3	]	]	PUNCT
ejpam-5345	594	4	a.	a.	NOUN
ejpam-5345	594	5	shammaky	shammaky	PROPN
ejpam-5345	594	6	,	,	PUNCT
ejpam-5345	594	7	b.a	b.a	PROPN
ejpam-5345	594	8	.	.	PROPN
ejpam-5345	594	9	frasin	frasin	PROPN
ejpam-5345	594	10	,	,	PUNCT
ejpam-5345	594	11	and	and	CCONJ
ejpam-5345	594	12	s.r	s.r	PROPN
ejpam-5345	594	13	.	.	PROPN
ejpam-5345	594	14	swamy	swamy	PROPN
ejpam-5345	594	15	.	.	PUNCT
ejpam-5345	595	1	fekete	fekete	PROPN
ejpam-5345	595	2	-	-	PUNCT
ejpam-5345	595	3	szegö	szegö	PROPN
ejpam-5345	595	4	inequality	inequality	NOUN
ejpam-5345	595	5	for	for	ADP
ejpam-5345	595	6	bi	bi	ADJ
ejpam-5345	595	7	-	-	ADJ
ejpam-5345	595	8	univalent	univalent	ADJ
ejpam-5345	595	9	functions	function	NOUN
ejpam-5345	595	10	subordinate	subordinate	VERB
ejpam-5345	595	11	to	to	ADP
ejpam-5345	595	12	horadam	horadam	NOUN
ejpam-5345	595	13	polynomials	polynomial	NOUN
ejpam-5345	595	14	.	.	PUNCT
ejpam-5345	596	1	journal	journal	NOUN
ejpam-5345	596	2	of	of	ADP
ejpam-5345	596	3	function	function	NOUN
ejpam-5345	596	4	spaces	space	NOUN
ejpam-5345	596	5	,	,	PUNCT
ejpam-5345	596	6	2022:7	2022:7	NUM
ejpam-5345	596	7	,	,	PUNCT
ejpam-5345	596	8	2022	2022	NUM
ejpam-5345	596	9	.	.	PUNCT
ejpam-5345	597	1	[	[	X
ejpam-5345	597	2	35	35	NUM
ejpam-5345	597	3	]	]	SYM
ejpam-5345	597	4	h	h	NOUN
ejpam-5345	597	5	.	.	PUNCT
ejpam-5345	597	6	m.	m.	PROPN
ejpam-5345	597	7	srivastava	srivastava	PROPN
ejpam-5345	597	8	and	and	CCONJ
ejpam-5345	597	9	j.	j.	PROPN
ejpam-5345	597	10	choi	choi	PROPN
ejpam-5345	597	11	.	.	PUNCT
ejpam-5345	598	1	zeta	zeta	PROPN
ejpam-5345	598	2	and	and	CCONJ
ejpam-5345	598	3	q	q	ADJ
ejpam-5345	598	4	-	-	PUNCT
ejpam-5345	598	5	zeta	zeta	NOUN
ejpam-5345	598	6	functions	function	NOUN
ejpam-5345	598	7	and	and	CCONJ
ejpam-5345	598	8	associated	associated	ADJ
ejpam-5345	598	9	series	series	NOUN
ejpam-5345	598	10	and	and	CCONJ
ejpam-5345	598	11	integrals	integral	NOUN
ejpam-5345	598	12	.	.	PUNCT
ejpam-5345	599	1	elsevier	elsevi	ADJ
ejpam-5345	599	2	science	science	NOUN
ejpam-5345	599	3	publishers	publisher	NOUN
ejpam-5345	599	4	,	,	PUNCT
ejpam-5345	599	5	amsterdam	amsterdam	PROPN
ejpam-5345	599	6	,	,	PUNCT
ejpam-5345	599	7	london	london	PROPN
ejpam-5345	599	8	and	and	CCONJ
ejpam-5345	599	9	new	new	PROPN
ejpam-5345	599	10	york	york	PROPN
ejpam-5345	599	11	,	,	PUNCT
ejpam-5345	599	12	2012	2012	NUM
ejpam-5345	599	13	.	.	PUNCT
ejpam-5345	600	1	[	[	X
ejpam-5345	600	2	36	36	NUM
ejpam-5345	600	3	]	]	X
ejpam-5345	600	4	h.	h.	PROPN
ejpam-5345	600	5	m.	m.	PROPN
ejpam-5345	600	6	srivastava	srivastava	PROPN
ejpam-5345	600	7	.	.	PUNCT
ejpam-5345	600	8	univalent	univalent	ADJ
ejpam-5345	600	9	functions	function	NOUN
ejpam-5345	600	10	.	.	PUNCT
ejpam-5345	601	1	fractional	fractional	ADJ
ejpam-5345	601	2	calculus	calculus	NOUN
ejpam-5345	601	3	,	,	PUNCT
ejpam-5345	601	4	and	and	CCONJ
ejpam-5345	601	5	associated	associate	VERB
ejpam-5345	601	6	generalized	generalized	ADJ
ejpam-5345	601	7	hypergeometric	hypergeometric	ADJ
ejpam-5345	601	8	functions	function	NOUN
ejpam-5345	601	9	,	,	PUNCT
ejpam-5345	601	10	in	in	ADP
ejpam-5345	601	11	univalent	univalent	ADJ
ejpam-5345	601	12	functions	function	NOUN
ejpam-5345	601	13	.	.	PUNCT
ejpam-5345	602	1	fractional	fractional	ADJ
ejpam-5345	602	2	calculus	calculus	NOUN
ejpam-5345	602	3	;	;	PUNCT
ejpam-5345	602	4	and	and	CCONJ
ejpam-5345	602	5	their	their	PRON
ejpam-5345	602	6	applications	application	NOUN
ejpam-5345	602	7	(	(	PUNCT
ejpam-5345	602	8	h.	h.	PROPN
ejpam-5345	602	9	m.	m.	PROPN
ejpam-5345	602	10	srivastava	srivastava	PROPN
ejpam-5345	602	11	and	and	CCONJ
ejpam-5345	602	12	s.	s.	PROPN
ejpam-5345	602	13	owa	owa	PROPN
ejpam-5345	602	14	,	,	PUNCT
ejpam-5345	602	15	editors	editor	NOUN
ejpam-5345	602	16	)	)	PUNCT
ejpam-5345	602	17	,	,	PUNCT
ejpam-5345	602	18	halsted	halsted	ADJ
ejpam-5345	602	19	press	press	PROPN
ejpam-5345	602	20	(	(	PUNCT
ejpam-5345	602	21	ellis	ellis	PROPN
ejpam-5345	602	22	horwood	horwood	PROPN
ejpam-5345	602	23	limited	limited	PROPN
ejpam-5345	602	24	,	,	PUNCT
ejpam-5345	602	25	chichester	chichester	PROPN
ejpam-5345	602	26	)	)	PUNCT
ejpam-5345	602	27	,	,	PUNCT
ejpam-5345	602	28	john	john	PROPN
ejpam-5345	602	29	wiley	wiley	PROPN
ejpam-5345	602	30	and	and	CCONJ
ejpam-5345	602	31	sons	son	NOUN
ejpam-5345	602	32	,	,	PUNCT
ejpam-5345	602	33	new	new	PROPN
ejpam-5345	602	34	york	york	PROPN
ejpam-5345	602	35	,	,	PUNCT
ejpam-5345	602	36	chichester	chichester	PROPN
ejpam-5345	602	37	,	,	PUNCT
ejpam-5345	602	38	brisbane	brisbane	PROPN
ejpam-5345	602	39	and	and	CCONJ
ejpam-5345	602	40	toronto	toronto	PROPN
ejpam-5345	602	41	,	,	PUNCT
ejpam-5345	602	42	pages	page	NOUN
ejpam-5345	602	43	329–354	329–354	NUM
ejpam-5345	602	44	,	,	PUNCT
ejpam-5345	602	45	1989	1989	NUM
ejpam-5345	602	46	.	.	PUNCT
ejpam-5345	603	1	[	[	X
ejpam-5345	603	2	37	37	NUM
ejpam-5345	603	3	]	]	X
ejpam-5345	603	4	h.	h.	PROPN
ejpam-5345	603	5	m.	m.	PROPN
ejpam-5345	603	6	srivastava	srivastava	PROPN
ejpam-5345	603	7	,	,	PUNCT
ejpam-5345	603	8	s.	s.	PROPN
ejpam-5345	603	9	altinkaya	altinkaya	PROPN
ejpam-5345	603	10	,	,	PUNCT
ejpam-5345	603	11	and	and	CCONJ
ejpam-5345	603	12	s.	s.	PROPN
ejpam-5345	603	13	yalcin	yalcin	PROPN
ejpam-5345	603	14	.	.	PUNCT
ejpam-5345	604	1	certain	certain	ADJ
ejpam-5345	604	2	subclasses	subclass	NOUN
ejpam-5345	604	3	of	of	ADP
ejpam-5345	604	4	biunivalen	biunivalen	ADJ
ejpam-5345	604	5	functions	function	NOUN
ejpam-5345	604	6	associated	associate	VERB
ejpam-5345	604	7	with	with	ADP
ejpam-5345	604	8	the	the	DET
ejpam-5345	604	9	horadam	horadam	PROPN
ejpam-5345	604	10	polynomials	polynomial	NOUN
ejpam-5345	604	11	.	.	PUNCT
ejpam-5345	605	1	iran	iran	PROPN
ejpam-5345	605	2	.	.	PUNCT
ejpam-5345	606	1	j.	j.	PROPN
ejpam-5345	606	2	sci	sci	PROPN
ejpam-5345	606	3	.	.	PROPN
ejpam-5345	606	4	technol	technol	PROPN
ejpam-5345	606	5	.	.	PUNCT
ejpam-5345	606	6	trans	trans	PROPN
ejpam-5345	606	7	.	.	PUNCT
ejpam-5345	607	1	a	a	DET
ejpam-5345	607	2	sci	sci	PROPN
ejpam-5345	607	3	.	.	PROPN
ejpam-5345	607	4	,	,	PUNCT
ejpam-5345	607	5	43:1873–1879	43:1873–1879	NUM
ejpam-5345	607	6	,	,	PUNCT
ejpam-5345	607	7	2019	2019	NUM
ejpam-5345	607	8	.	.	PUNCT
ejpam-5345	608	1	[	[	X
ejpam-5345	608	2	38	38	NUM
ejpam-5345	608	3	]	]	PUNCT
ejpam-5345	608	4	h.	h.	PROPN
ejpam-5345	608	5	m.	m.	PROPN
ejpam-5345	608	6	srivastava	srivastava	PROPN
ejpam-5345	608	7	,	,	PUNCT
ejpam-5345	608	8	d.	d.	PROPN
ejpam-5345	608	9	breaz	breaz	PROPN
ejpam-5345	608	10	,	,	PUNCT
ejpam-5345	608	11	s.	s.	PROPN
ejpam-5345	608	12	khan	khan	PROPN
ejpam-5345	608	13	,	,	PUNCT
ejpam-5345	608	14	and	and	CCONJ
ejpam-5345	608	15	f.	f.	PROPN
ejpam-5345	608	16	tchier	tchier	PROPN
ejpam-5345	608	17	.	.	PUNCT
ejpam-5345	609	1	certain	certain	ADJ
ejpam-5345	609	2	new	new	ADJ
ejpam-5345	609	3	applications	application	NOUN
ejpam-5345	609	4	of	of	ADP
ejpam-5345	609	5	symmetric	symmetric	ADJ
ejpam-5345	609	6	q	q	NOUN
ejpam-5345	609	7	-	-	NOUN
ejpam-5345	609	8	calculus	calculus	NOUN
ejpam-5345	609	9	for	for	ADP
ejpam-5345	609	10	new	new	ADJ
ejpam-5345	609	11	subclasses	subclass	NOUN
ejpam-5345	609	12	of	of	ADP
ejpam-5345	609	13	multivalent	multivalent	NOUN
ejpam-5345	609	14	functions	function	NOUN
ejpam-5345	609	15	associated	associate	VERB
ejpam-5345	609	16	with	with	ADP
ejpam-5345	609	17	the	the	DET
ejpam-5345	609	18	cardioid	cardioid	NOUN
ejpam-5345	609	19	domain	domain	NOUN
ejpam-5345	609	20	.	.	PUNCT
ejpam-5345	610	1	axioms	axiom	NOUN
ejpam-5345	610	2	,	,	PUNCT
ejpam-5345	610	3	13:366	13:366	NUM
ejpam-5345	610	4	,	,	PUNCT
ejpam-5345	610	5	2024	2024	NUM
ejpam-5345	610	6	.	.	PUNCT
ejpam-5345	611	1	[	[	X
ejpam-5345	611	2	39	39	NUM
ejpam-5345	611	3	]	]	PUNCT
ejpam-5345	611	4	h.	h.	PROPN
ejpam-5345	611	5	m.	m.	PROPN
ejpam-5345	611	6	srivastava	srivastava	PROPN
ejpam-5345	611	7	,	,	PUNCT
ejpam-5345	611	8	s.	s.	PROPN
ejpam-5345	611	9	khan	khan	PROPN
ejpam-5345	611	10	,	,	PUNCT
ejpam-5345	611	11	s.	s.	PROPN
ejpam-5345	611	12	n.	n.	PROPN
ejpam-5345	611	13	malik	malik	PROPN
ejpam-5345	611	14	,	,	PUNCT
ejpam-5345	611	15	f.	f.	PROPN
ejpam-5345	611	16	tchier	tchier	PROPN
ejpam-5345	611	17	,	,	PUNCT
ejpam-5345	611	18	a.	a.	NOUN
ejpam-5345	611	19	saliu	saliu	PROPN
ejpam-5345	611	20	,	,	PUNCT
ejpam-5345	611	21	and	and	CCONJ
ejpam-5345	611	22	q.	q.	PROPN
ejpam-5345	611	23	xin	xin	PROPN
ejpam-5345	611	24	.	.	PUNCT
ejpam-5345	612	1	faber	faber	PROPN
ejpam-5345	612	2	polynomial	polynomial	PROPN
ejpam-5345	612	3	coefficient	coefficient	NOUN
ejpam-5345	612	4	inequalities	inequality	NOUN
ejpam-5345	612	5	for	for	ADP
ejpam-5345	612	6	bi	bi	ADJ
ejpam-5345	612	7	-	-	ADJ
ejpam-5345	612	8	bazilevic	bazilevic	ADJ
ejpam-5345	612	9	functions	function	NOUN
ejpam-5345	612	10	associated	associate	VERB
ejpam-5345	612	11	with	with	ADP
ejpam-5345	612	12	the	the	DET
ejpam-5345	612	13	fibonaccinumber	fibonaccinumber	PROPN
ejpam-5345	612	14	series	series	NOUN
ejpam-5345	612	15	and	and	CCONJ
ejpam-5345	612	16	the	the	DET
ejpam-5345	612	17	square	square	ADJ
ejpam-5345	612	18	-	-	PUNCT
ejpam-5345	612	19	root	root	NOUN
ejpam-5345	612	20	functions	function	NOUN
ejpam-5345	612	21	.	.	PUNCT
ejpam-5345	613	1	journal	journal	PROPN
ejpam-5345	613	2	of	of	ADP
ejpam-5345	613	3	inequalities	inequality	NOUN
ejpam-5345	613	4	and	and	CCONJ
ejpam-5345	613	5	applications	application	NOUN
ejpam-5345	613	6	,	,	PUNCT
ejpam-5345	613	7	2024	2024	NUM
ejpam-5345	613	8	:	:	PUNCT
ejpam-5345	613	9	doi.org/10.1186	doi.org/10.1186	PROPN
ejpam-5345	613	10	/	/	SYM
ejpam-5345	613	11	s13660–024–03090–9	s13660–024–03090–9	NOUN
ejpam-5345	613	12	,	,	PUNCT
ejpam-5345	613	13	2024	2024	NUM
ejpam-5345	613	14	.	.	PUNCT
ejpam-5345	614	1	references	reference	NOUN
ejpam-5345	614	2	2537	2537	NUM
ejpam-5345	615	1	[	[	X
ejpam-5345	615	2	40	40	NUM
ejpam-5345	615	3	]	]	PUNCT
ejpam-5345	615	4	h.	h.	PROPN
ejpam-5345	615	5	m.	m.	PROPN
ejpam-5345	615	6	srivastava	srivastava	PROPN
ejpam-5345	615	7	,	,	PUNCT
ejpam-5345	615	8	a.	a.	PROPN
ejpam-5345	615	9	k.	k.	PROPN
ejpam-5345	615	10	mishra	mishra	PROPN
ejpam-5345	615	11	,	,	PUNCT
ejpam-5345	615	12	and	and	CCONJ
ejpam-5345	615	13	p.	p.	PROPN
ejpam-5345	615	14	gochhayat	gochhayat	PROPN
ejpam-5345	615	15	.	.	PUNCT
ejpam-5345	616	1	certain	certain	ADJ
ejpam-5345	616	2	subclasses	subclass	NOUN
ejpam-5345	616	3	of	of	ADP
ejpam-5345	616	4	analytic	analytic	ADJ
ejpam-5345	616	5	and	and	CCONJ
ejpam-5345	616	6	bi	bi	ADJ
ejpam-5345	616	7	-	-	ADJ
ejpam-5345	616	8	univalent	univalent	ADJ
ejpam-5345	616	9	functions	function	NOUN
ejpam-5345	616	10	.	.	PUNCT
ejpam-5345	617	1	appl	appl	PROPN
ejpam-5345	617	2	.	.	PROPN
ejpam-5345	617	3	math	math	PROPN
ejpam-5345	617	4	.	.	PUNCT
ejpam-5345	618	1	lett	lett	PROPN
ejpam-5345	618	2	.	.	PROPN
ejpam-5345	618	3	,	,	PUNCT
ejpam-5345	618	4	23:1188–1192	23:1188–1192	PRON
ejpam-5345	618	5	,	,	PUNCT
ejpam-5345	618	6	2010	2010	NUM
ejpam-5345	618	7	.	.	PUNCT
ejpam-5345	619	1	[	[	X
ejpam-5345	619	2	41	41	NUM
ejpam-5345	619	3	]	]	X
ejpam-5345	619	4	h.	h.	PROPN
ejpam-5345	619	5	m.	m.	PROPN
ejpam-5345	619	6	srivastava	srivastava	PROPN
ejpam-5345	619	7	,	,	PUNCT
ejpam-5345	619	8	s.	s.	PROPN
ejpam-5345	619	9	altınkaya	altınkaya	PROPN
ejpam-5345	619	10	,	,	PUNCT
ejpam-5345	619	11	and	and	CCONJ
ejpam-5345	619	12	ş	ş	PROPN
ejpam-5345	619	13	yalçin	yalçin	NOUN
ejpam-5345	619	14	.	.	PUNCT
ejpam-5345	620	1	certain	certain	ADJ
ejpam-5345	620	2	subclasses	subclass	NOUN
ejpam-5345	620	3	of	of	ADP
ejpam-5345	620	4	bi	bi	ADJ
ejpam-5345	620	5	-	-	ADJ
ejpam-5345	620	6	univalent	univalent	ADJ
ejpam-5345	620	7	functions	function	NOUN
ejpam-5345	620	8	associated	associate	VERB
ejpam-5345	620	9	with	with	ADP
ejpam-5345	620	10	the	the	DET
ejpam-5345	620	11	horadam	horadam	PROPN
ejpam-5345	620	12	polynomials	polynomial	NOUN
ejpam-5345	620	13	.	.	PUNCT
ejpam-5345	621	1	iran	iran	PROPN
ejpam-5345	621	2	.	.	PUNCT
ejpam-5345	622	1	j.	j.	PROPN
ejpam-5345	622	2	sci	sci	PROPN
ejpam-5345	622	3	.	.	PROPN
ejpam-5345	622	4	technol	technol	PROPN
ejpam-5345	622	5	.	.	PUNCT
ejpam-5345	622	6	trans	trans	PROPN
ejpam-5345	622	7	.	.	PUNCT
ejpam-5345	623	1	a	a	DET
ejpam-5345	623	2	sci	sci	PROPN
ejpam-5345	623	3	,	,	PUNCT
ejpam-5345	623	4	43:1873–1879	43:1873–1879	NUM
ejpam-5345	623	5	,	,	PUNCT
ejpam-5345	623	6	2019	2019	NUM
ejpam-5345	623	7	.	.	PUNCT
ejpam-5345	624	1	[	[	X
ejpam-5345	624	2	42	42	NUM
ejpam-5345	624	3	]	]	PUNCT
ejpam-5345	624	4	s.	s.	PROPN
ejpam-5345	624	5	r.	r.	PROPN
ejpam-5345	624	6	swamy	swamy	PROPN
ejpam-5345	624	7	and	and	CCONJ
ejpam-5345	624	8	y.	y.	PROPN
ejpam-5345	624	9	sailaja	sailaja	PROPN
ejpam-5345	624	10	.	.	PUNCT
ejpam-5345	625	1	horadam	horadam	PROPN
ejpam-5345	625	2	polynomial	polynomial	ADJ
ejpam-5345	625	3	coefficient	coefficient	NOUN
ejpam-5345	625	4	estimates	estimate	NOUN
ejpam-5345	625	5	for	for	ADP
ejpam-5345	625	6	two	two	NUM
ejpam-5345	625	7	families	family	NOUN
ejpam-5345	625	8	of	of	ADP
ejpam-5345	625	9	holomorphic	holomorphic	ADJ
ejpam-5345	625	10	and	and	CCONJ
ejpam-5345	625	11	bi	bi	ADJ
ejpam-5345	625	12	-	-	ADJ
ejpam-5345	625	13	univalent	univalent	ADJ
ejpam-5345	625	14	functions	function	NOUN
ejpam-5345	625	15	.	.	PUNCT
ejpam-5345	626	1	international	international	ADJ
ejpam-5345	626	2	journal	journal	PROPN
ejpam-5345	626	3	of	of	ADP
ejpam-5345	626	4	mathematics	mathematics	NOUN
ejpam-5345	626	5	trends	trend	NOUN
ejpam-5345	626	6	and	and	CCONJ
ejpam-5345	626	7	technology	technology	NOUN
ejpam-5345	626	8	,	,	PUNCT
ejpam-5345	626	9	66:131–138	66:131–138	PROPN
ejpam-5345	626	10	,	,	PUNCT
ejpam-5345	626	11	2020	2020	NUM
ejpam-5345	626	12	.	.	PUNCT
ejpam-5345	627	1	[	[	X
ejpam-5345	627	2	43	43	NUM
ejpam-5345	627	3	]	]	PUNCT
ejpam-5345	627	4	a.	a.	NOUN
ejpam-5345	627	5	w.	w.	PROPN
ejpam-5345	627	6	wanas	wanas	PROPN
ejpam-5345	627	7	and	and	CCONJ
ejpam-5345	627	8	a.	a.	NOUN
ejpam-5345	627	9	a.	a.	NOUN
ejpam-5345	627	10	lupas	lupas	PROPN
ejpam-5345	627	11	.	.	PUNCT
ejpam-5345	628	1	applications	application	NOUN
ejpam-5345	628	2	of	of	ADP
ejpam-5345	628	3	horadam	horadam	NOUN
ejpam-5345	628	4	polynomials	polynomial	NOUN
ejpam-5345	628	5	on	on	ADP
ejpam-5345	628	6	bazilevic	bazilevic	ADJ
ejpam-5345	628	7	bi	bi	ADJ
ejpam-5345	628	8	-	-	ADJ
ejpam-5345	628	9	univalent	univalent	ADJ
ejpam-5345	628	10	function	function	NOUN
ejpam-5345	628	11	satisfying	satisfy	VERB
ejpam-5345	628	12	subordinate	subordinate	ADJ
ejpam-5345	628	13	conditions	condition	NOUN
ejpam-5345	628	14	.	.	PUNCT
ejpam-5345	629	1	iop	iop	PROPN
ejpam-5345	629	2	conf	conf	PROPN
ejpam-5345	629	3	.	.	PUNCT
ejpam-5345	630	1	series	series	PROPN
ejpam-5345	630	2	:	:	PUNCT
ejpam-5345	630	3	journal	journal	PROPN
ejpam-5345	630	4	of	of	ADP
ejpam-5345	630	5	physics	physics	PROPN
ejpam-5345	630	6	:	:	PUNCT
ejpam-5345	630	7	conf	conf	PROPN
ejpam-5345	630	8	.	.	PUNCT
ejpam-5345	631	1	series	series	PROPN
ejpam-5345	631	2	,	,	PUNCT
ejpam-5345	631	3	1294:032003	1294:032003	NUM
ejpam-5345	631	4	,	,	PUNCT
ejpam-5345	631	5	2019	2019	NUM
ejpam-5345	631	6	.	.	PUNCT
ejpam-5345	632	1	[	[	X
ejpam-5345	632	2	44	44	NUM
ejpam-5345	632	3	]	]	PUNCT
ejpam-5345	632	4	t.	t.	PROPN
ejpam-5345	632	5	t.	t.	PROPN
ejpam-5345	632	6	wang	wang	PROPN
ejpam-5345	632	7	and	and	CCONJ
ejpam-5345	632	8	w.	w.	PROPN
ejpam-5345	632	9	p.	p.	PROPN
ejpam-5345	632	10	zhang	zhang	PROPN
ejpam-5345	632	11	.	.	PUNCT
ejpam-5345	633	1	some	some	DET
ejpam-5345	633	2	identities	identity	NOUN
ejpam-5345	633	3	involving	involve	VERB
ejpam-5345	633	4	fibonacci	fibonacci	NOUN
ejpam-5345	633	5	,	,	PUNCT
ejpam-5345	633	6	lucas	lucas	NOUN
ejpam-5345	633	7	polynomials	polynomial	NOUN
ejpam-5345	633	8	and	and	CCONJ
ejpam-5345	633	9	their	their	PRON
ejpam-5345	633	10	applications	application	NOUN
ejpam-5345	633	11	.	.	PUNCT
ejpam-5345	634	1	bull	bull	NOUN
ejpam-5345	634	2	.	.	PUNCT
ejpam-5345	635	1	math	math	NOUN
ejpam-5345	635	2	.	.	PUNCT
ejpam-5345	636	1	soc	soc	PROPN
ejpam-5345	636	2	.	.	PUNCT
ejpam-5345	637	1	sci	sci	PROPN
ejpam-5345	637	2	.	.	PROPN
ejpam-5345	637	3	math	math	PROPN
ejpam-5345	637	4	.	.	PUNCT
ejpam-5345	638	1	roumanie	roumanie	PROPN
ejpam-5345	638	2	(	(	PUNCT
ejpam-5345	638	3	new	new	ADJ
ejpam-5345	638	4	ser	ser	NOUN
ejpam-5345	638	5	.	.	PUNCT
ejpam-5345	638	6	)	)	PUNCT
ejpam-5345	638	7	,	,	PUNCT
ejpam-5345	638	8	55:95–103	55:95–103	NUM
ejpam-5345	638	9	,	,	PUNCT
ejpam-5345	638	10	2012	2012	NUM
ejpam-5345	638	11	.	.	PUNCT
ejpam-5345	639	1	[	[	X
ejpam-5345	639	2	45	45	NUM
ejpam-5345	639	3	]	]	PUNCT
ejpam-5345	639	4	q.	q.	PROPN
ejpam-5345	639	5	h.	h.	PROPN
ejpam-5345	639	6	xu	xu	PROPN
ejpam-5345	639	7	,	,	PUNCT
ejpam-5345	639	8	y.	y.	PROPN
ejpam-5345	639	9	c.	c.	PROPN
ejpam-5345	639	10	gui	gui	PROPN
ejpam-5345	639	11	,	,	PUNCT
ejpam-5345	639	12	and	and	CCONJ
ejpam-5345	639	13	h.	h.	PROPN
ejpam-5345	639	14	.m	.m	PROPN
ejpam-5345	639	15	.	.	PUNCT
ejpam-5345	640	1	srivastava	srivastava	PROPN
ejpam-5345	640	2	.	.	PUNCT
ejpam-5345	641	1	coefficient	coefficient	NOUN
ejpam-5345	641	2	estimates	estimate	NOUN
ejpam-5345	641	3	for	for	ADP
ejpam-5345	641	4	a	a	DET
ejpam-5345	641	5	certain	certain	ADJ
ejpam-5345	641	6	subclass	subclass	NOUN
ejpam-5345	641	7	of	of	ADP
ejpam-5345	641	8	analytic	analytic	ADJ
ejpam-5345	641	9	and	and	CCONJ
ejpam-5345	641	10	bi	bi	ADJ
ejpam-5345	641	11	-	-	ADJ
ejpam-5345	641	12	univalent	univalent	ADJ
ejpam-5345	641	13	functions	function	NOUN
ejpam-5345	641	14	.	.	PUNCT
ejpam-5345	642	1	appl	appl	PROPN
ejpam-5345	642	2	.	.	PROPN
ejpam-5345	642	3	math	math	PROPN
ejpam-5345	642	4	.	.	PUNCT
ejpam-5345	643	1	lett	lett	PROPN
ejpam-5345	643	2	.	.	PROPN
ejpam-5345	643	3	,	,	PUNCT
ejpam-5345	643	4	25:990–994	25:990–994	NUM
ejpam-5345	643	5	,	,	PUNCT
ejpam-5345	643	6	2012	2012	NUM
ejpam-5345	643	7	.	.	PUNCT
ejpam-5345	644	1	[	[	X
ejpam-5345	644	2	46	46	NUM
ejpam-5345	644	3	]	]	X
ejpam-5345	644	4	q.	q.	PROPN
ejpam-5345	644	5	h	h	PROPN
ejpam-5345	645	1	xu	xu	PROPN
ejpam-5345	645	2	,	,	PUNCT
ejpam-5345	645	3	h.g	h.g	PROPN
ejpam-5345	645	4	.	.	PROPN
ejpam-5345	645	5	xiao	xiao	PROPN
ejpam-5345	645	6	,	,	PUNCT
ejpam-5345	645	7	and	and	CCONJ
ejpam-5345	645	8	h.	h.	PROPN
ejpam-5345	645	9	m.	m.	PROPN
ejpam-5345	645	10	srivastava	srivastava	PROPN
ejpam-5345	645	11	.	.	PUNCT
ejpam-5345	646	1	a	a	DET
ejpam-5345	646	2	certain	certain	ADJ
ejpam-5345	646	3	general	general	ADJ
ejpam-5345	646	4	subclass	subclass	NOUN
ejpam-5345	646	5	of	of	ADP
ejpam-5345	646	6	analytic	analytic	ADJ
ejpam-5345	646	7	and	and	CCONJ
ejpam-5345	646	8	bi	bi	ADJ
ejpam-5345	646	9	-	-	ADJ
ejpam-5345	646	10	univalent	univalent	ADJ
ejpam-5345	646	11	functions	function	NOUN
ejpam-5345	646	12	and	and	CCONJ
ejpam-5345	646	13	associated	associate	VERB
ejpam-5345	646	14	coefficient	coefficient	NOUN
ejpam-5345	646	15	estimate	estimate	VERB
ejpam-5345	646	16	problems	problem	NOUN
ejpam-5345	646	17	.	.	PUNCT
ejpam-5345	647	1	appl	appl	PROPN
ejpam-5345	647	2	.	.	PROPN
ejpam-5345	647	3	math	math	PROPN
ejpam-5345	647	4	.	.	PUNCT
ejpam-5345	648	1	comput	comput	NOUN
ejpam-5345	648	2	,	,	PUNCT
ejpam-5345	648	3	218:11461–11465	218:11461–11465	NUM
ejpam-5345	648	4	,	,	PUNCT
ejpam-5345	648	5	2012	2012	NUM
ejpam-5345	648	6	.	.	PUNCT
ejpam-5345	649	1	[	[	X
ejpam-5345	649	2	47	47	NUM
ejpam-5345	649	3	]	]	PUNCT
ejpam-5345	649	4	a.	a.	NOUN
ejpam-5345	649	5	zireh	zireh	NOUN
ejpam-5345	649	6	and	and	CCONJ
ejpam-5345	649	7	s.	s.	PROPN
ejpam-5345	649	8	hajiparvaneh	hajiparvaneh	PROPN
ejpam-5345	649	9	.	.	PUNCT
ejpam-5345	650	1	coefficient	coefficient	NOUN
ejpam-5345	650	2	bounds	bound	NOUN
ejpam-5345	650	3	for	for	ADP
ejpam-5345	650	4	certain	certain	ADJ
ejpam-5345	650	5	subclasses	subclass	NOUN
ejpam-5345	650	6	of	of	ADP
ejpam-5345	650	7	analytic	analytic	ADJ
ejpam-5345	650	8	and	and	CCONJ
ejpam-5345	650	9	bi	bi	ADJ
ejpam-5345	650	10	-	-	ADJ
ejpam-5345	650	11	univalent	univalent	ADJ
ejpam-5345	650	12	functions	function	NOUN
ejpam-5345	650	13	.	.	PUNCT
ejpam-5345	651	1	ann	ann	PROPN
ejpam-5345	651	2	.	.	PUNCT
ejpam-5345	651	3	acad	acad	PROPN
ejpam-5345	651	4	.	.	PUNCT
ejpam-5345	652	1	rom	rom	PROPN
ejpam-5345	652	2	.	.	PUNCT
ejpam-5345	653	1	sci	sci	PROPN
ejpam-5345	653	2	.	.	PUNCT
ejpam-5345	653	3	ser	ser	PROPN
ejpam-5345	653	4	.	.	PROPN
ejpam-5345	653	5	math	math	PROPN
ejpam-5345	653	6	.	.	PUNCT
ejpam-5345	654	1	appl	appl	PROPN
ejpam-5345	654	2	.	.	PROPN
ejpam-5345	654	3	,	,	PUNCT
ejpam-5345	654	4	8:133–144	8:133–144	NUM
ejpam-5345	654	5	,	,	PUNCT
ejpam-5345	654	6	2016	2016	NUM
ejpam-5345	654	7	.	.	PUNCT