id	sid	tid	token	lemma	pos
ejpam-5408	1	1	european	european	PROPN
ejpam-5408	1	2	journal	journal	PROPN
ejpam-5408	1	3	of	of	ADP
ejpam-5408	1	4	pure	pure	ADJ
ejpam-5408	1	5	and	and	CCONJ
ejpam-5408	1	6	applied	apply	VERB
ejpam-5408	1	7	mathematics	mathematic	NOUN
ejpam-5408	1	8	vol	vol	NOUN
ejpam-5408	1	9	.	.	PROPN
ejpam-5408	2	1	17	17	NUM
ejpam-5408	2	2	,	,	PUNCT
ejpam-5408	2	3	no	no	INTJ
ejpam-5408	2	4	.	.	NOUN
ejpam-5408	2	5	4	4	NUM
ejpam-5408	2	6	,	,	PUNCT
ejpam-5408	2	7	2024	2024	NUM
ejpam-5408	2	8	,	,	PUNCT
ejpam-5408	2	9	2467	2467	NUM
ejpam-5408	2	10	-	-	SYM
ejpam-5408	2	11	2480	2480	NUM
ejpam-5408	2	12	issn	issn	PROPN
ejpam-5408	2	13	1307	1307	NUM
ejpam-5408	2	14	-	-	SYM
ejpam-5408	2	15	5543	5543	NUM
ejpam-5408	2	16	–	–	PUNCT
ejpam-5408	2	17	ejpam.com	ejpam.com	X
ejpam-5408	2	18	published	publish	VERB
ejpam-5408	2	19	by	by	ADP
ejpam-5408	2	20	new	new	PROPN
ejpam-5408	2	21	york	york	PROPN
ejpam-5408	2	22	business	business	PROPN
ejpam-5408	2	23	global	global	PROPN
ejpam-5408	2	24	a	a	DET
ejpam-5408	2	25	subclass	subclass	NOUN
ejpam-5408	2	26	of	of	ADP
ejpam-5408	2	27	bi	bi	ADJ
ejpam-5408	2	28	-	-	ADJ
ejpam-5408	2	29	univalent	univalent	ADJ
ejpam-5408	2	30	functions	function	NOUN
ejpam-5408	2	31	defined	define	VERB
ejpam-5408	2	32	by	by	ADP
ejpam-5408	2	33	a	a	DET
ejpam-5408	2	34	symmetric	symmetric	ADJ
ejpam-5408	2	35	q	q	ADJ
ejpam-5408	2	36	-	-	ADJ
ejpam-5408	2	37	derivative	derivative	ADJ
ejpam-5408	2	38	operator	operator	NOUN
ejpam-5408	2	39	and	and	CCONJ
ejpam-5408	2	40	gegenbauer	gegenbauer	NOUN
ejpam-5408	2	41	polynomials	polynomial	NOUN
ejpam-5408	2	42	mohamed	mohamed	PROPN
ejpam-5408	2	43	illafe1,∗	illafe1,∗	PROPN
ejpam-5408	2	44	,	,	PUNCT
ejpam-5408	2	45	maisarah	maisarah	PROPN
ejpam-5408	2	46	haji	haji	PROPN
ejpam-5408	2	47	mohd2	mohd2	PROPN
ejpam-5408	2	48	,	,	PUNCT
ejpam-5408	2	49	feras	feras	PROPN
ejpam-5408	2	50	yousef3,4	yousef3,4	PROPN
ejpam-5408	2	51	,	,	PUNCT
ejpam-5408	2	52	shamani	shamani	ADJ
ejpam-5408	2	53	supramaniam2	supramaniam2	NOUN
ejpam-5408	2	54	1	1	NUM
ejpam-5408	2	55	school	school	NOUN
ejpam-5408	2	56	of	of	ADP
ejpam-5408	2	57	engineering	engineering	NOUN
ejpam-5408	2	58	,	,	PUNCT
ejpam-5408	2	59	math	math	NOUN
ejpam-5408	2	60	,	,	PUNCT
ejpam-5408	2	61	&	&	CCONJ
ejpam-5408	2	62	technology	technology	NOUN
ejpam-5408	2	63	,	,	PUNCT
ejpam-5408	2	64	navajo	navajo	PROPN
ejpam-5408	2	65	technical	technical	PROPN
ejpam-5408	2	66	university	university	PROPN
ejpam-5408	2	67	,	,	PUNCT
ejpam-5408	2	68	crownpoint	crownpoint	NOUN
ejpam-5408	2	69	,	,	PUNCT
ejpam-5408	2	70	nm	nm	PROPN
ejpam-5408	2	71	87313	87313	NUM
ejpam-5408	2	72	,	,	PUNCT
ejpam-5408	2	73	usa	usa	PROPN
ejpam-5408	2	74	2	2	NUM
ejpam-5408	2	75	school	school	NOUN
ejpam-5408	2	76	of	of	ADP
ejpam-5408	2	77	mathematical	mathematical	ADJ
ejpam-5408	2	78	sciences	science	NOUN
ejpam-5408	2	79	,	,	PUNCT
ejpam-5408	2	80	universiti	universiti	PROPN
ejpam-5408	2	81	sains	sain	NOUN
ejpam-5408	2	82	malaysia	malaysia	PROPN
ejpam-5408	2	83	,	,	PUNCT
ejpam-5408	2	84	penang	penang	PROPN
ejpam-5408	2	85	11800	11800	NUM
ejpam-5408	2	86	,	,	PUNCT
ejpam-5408	2	87	malaysia	malaysia	PROPN
ejpam-5408	2	88	3	3	NUM
ejpam-5408	2	89	department	department	NOUN
ejpam-5408	2	90	of	of	ADP
ejpam-5408	2	91	mathematics	mathematic	NOUN
ejpam-5408	2	92	,	,	PUNCT
ejpam-5408	2	93	the	the	DET
ejpam-5408	2	94	university	university	PROPN
ejpam-5408	2	95	of	of	ADP
ejpam-5408	2	96	jordan	jordan	PROPN
ejpam-5408	2	97	,	,	PUNCT
ejpam-5408	2	98	amman	amman	PROPN
ejpam-5408	2	99	11942	11942	NUM
ejpam-5408	2	100	,	,	PUNCT
ejpam-5408	2	101	jordan	jordan	PROPN
ejpam-5408	2	102	4	4	NUM
ejpam-5408	2	103	jadara	jadara	PROPN
ejpam-5408	2	104	university	university	PROPN
ejpam-5408	2	105	research	research	NOUN
ejpam-5408	2	106	center	center	NOUN
ejpam-5408	2	107	,	,	PUNCT
ejpam-5408	2	108	jadara	jadara	PROPN
ejpam-5408	2	109	university	university	PROPN
ejpam-5408	2	110	,	,	PUNCT
ejpam-5408	2	111	irbid	irbid	VERB
ejpam-5408	2	112	21110	21110	NUM
ejpam-5408	2	113	,	,	PUNCT
ejpam-5408	2	114	jordan	jordan	PROPN
ejpam-5408	2	115	abstract	abstract	PROPN
ejpam-5408	2	116	.	.	PUNCT
ejpam-5408	3	1	this	this	DET
ejpam-5408	3	2	paper	paper	NOUN
ejpam-5408	3	3	introduces	introduce	VERB
ejpam-5408	3	4	a	a	DET
ejpam-5408	3	5	novel	novel	ADJ
ejpam-5408	3	6	subclass	subclass	NOUN
ejpam-5408	3	7	of	of	ADP
ejpam-5408	3	8	bi	bi	ADJ
ejpam-5408	3	9	-	-	ADJ
ejpam-5408	3	10	univalent	univalent	ADJ
ejpam-5408	3	11	analytic	analytic	ADJ
ejpam-5408	3	12	functions	function	NOUN
ejpam-5408	3	13	by	by	ADP
ejpam-5408	3	14	utilizing	utilize	VERB
ejpam-5408	3	15	a	a	DET
ejpam-5408	3	16	symmetric	symmetric	ADJ
ejpam-5408	3	17	q	q	ADJ
ejpam-5408	3	18	-	-	ADJ
ejpam-5408	3	19	derivative	derivative	ADJ
ejpam-5408	3	20	operator	operator	NOUN
ejpam-5408	3	21	in	in	ADP
ejpam-5408	3	22	conjunction	conjunction	NOUN
ejpam-5408	3	23	with	with	ADP
ejpam-5408	3	24	gegenbauer	gegenbauer	NOUN
ejpam-5408	3	25	polynomials	polynomial	NOUN
ejpam-5408	3	26	.	.	PUNCT
ejpam-5408	4	1	within	within	ADP
ejpam-5408	4	2	this	this	DET
ejpam-5408	4	3	newly	newly	ADV
ejpam-5408	4	4	defined	define	VERB
ejpam-5408	4	5	subclass	subclass	NOUN
ejpam-5408	4	6	,	,	PUNCT
ejpam-5408	4	7	we	we	PRON
ejpam-5408	4	8	derive	derive	VERB
ejpam-5408	4	9	bounds	bound	NOUN
ejpam-5408	4	10	for	for	ADP
ejpam-5408	4	11	the	the	DET
ejpam-5408	4	12	first	first	ADJ
ejpam-5408	4	13	two	two	NUM
ejpam-5408	4	14	maclaurin	maclaurin	NOUN
ejpam-5408	4	15	coefficients	coefficient	NOUN
ejpam-5408	4	16	and	and	CCONJ
ejpam-5408	4	17	address	address	VERB
ejpam-5408	4	18	the	the	DET
ejpam-5408	4	19	feketeszegő	feketeszegő	PROPN
ejpam-5408	4	20	problem	problem	NOUN
ejpam-5408	4	21	.	.	PUNCT
ejpam-5408	5	1	by	by	ADP
ejpam-5408	5	2	varying	vary	VERB
ejpam-5408	5	3	the	the	DET
ejpam-5408	5	4	parameters	parameter	NOUN
ejpam-5408	5	5	in	in	ADP
ejpam-5408	5	6	our	our	PRON
ejpam-5408	5	7	results	result	NOUN
ejpam-5408	5	8	between	between	ADP
ejpam-5408	5	9	0	0	NUM
ejpam-5408	5	10	and	and	CCONJ
ejpam-5408	5	11	1	1	NUM
ejpam-5408	5	12	,	,	PUNCT
ejpam-5408	5	13	we	we	PRON
ejpam-5408	5	14	obtain	obtain	VERB
ejpam-5408	5	15	a	a	DET
ejpam-5408	5	16	range	range	NOUN
ejpam-5408	5	17	of	of	ADP
ejpam-5408	5	18	new	new	ADJ
ejpam-5408	5	19	insights	insight	NOUN
ejpam-5408	5	20	and	and	CCONJ
ejpam-5408	5	21	rediscover	rediscover	VERB
ejpam-5408	5	22	some	some	DET
ejpam-5408	5	23	previously	previously	ADV
ejpam-5408	5	24	established	establish	VERB
ejpam-5408	5	25	results	result	NOUN
ejpam-5408	5	26	.	.	PUNCT
ejpam-5408	6	1	this	this	DET
ejpam-5408	6	2	approach	approach	NOUN
ejpam-5408	6	3	not	not	PART
ejpam-5408	6	4	only	only	ADV
ejpam-5408	6	5	broadens	broaden	VERB
ejpam-5408	6	6	the	the	DET
ejpam-5408	6	7	scope	scope	NOUN
ejpam-5408	6	8	of	of	ADP
ejpam-5408	6	9	bi	bi	ADJ
ejpam-5408	6	10	-	-	ADJ
ejpam-5408	6	11	univalent	univalent	ADJ
ejpam-5408	6	12	function	function	NOUN
ejpam-5408	6	13	theory	theory	NOUN
ejpam-5408	6	14	but	but	CCONJ
ejpam-5408	6	15	also	also	ADV
ejpam-5408	6	16	deepens	deepen	VERB
ejpam-5408	6	17	the	the	DET
ejpam-5408	6	18	understanding	understanding	NOUN
ejpam-5408	6	19	of	of	ADP
ejpam-5408	6	20	coefficient	coefficient	NOUN
ejpam-5408	6	21	bounds	bound	NOUN
ejpam-5408	6	22	and	and	CCONJ
ejpam-5408	6	23	extremal	extremal	ADJ
ejpam-5408	6	24	problems	problem	NOUN
ejpam-5408	6	25	within	within	ADP
ejpam-5408	6	26	this	this	DET
ejpam-5408	6	27	context	context	NOUN
ejpam-5408	6	28	.	.	PUNCT
ejpam-5408	7	1	2020	2020	NUM
ejpam-5408	7	2	mathematics	mathematic	NOUN
ejpam-5408	7	3	subject	subject	NOUN
ejpam-5408	7	4	classifications	classification	NOUN
ejpam-5408	7	5	:	:	PUNCT
ejpam-5408	7	6	30c45	30c45	NUM
ejpam-5408	7	7	key	key	ADJ
ejpam-5408	7	8	words	word	NOUN
ejpam-5408	7	9	and	and	CCONJ
ejpam-5408	7	10	phrases	phrase	NOUN
ejpam-5408	7	11	:	:	PUNCT
ejpam-5408	7	12	bi	bi	ADJ
ejpam-5408	7	13	-	-	ADJ
ejpam-5408	7	14	univalent	univalent	ADJ
ejpam-5408	7	15	analytic	analytic	ADJ
ejpam-5408	7	16	functions	function	NOUN
ejpam-5408	7	17	,	,	PUNCT
ejpam-5408	7	18	gegenbauer	gegenbauer	NOUN
ejpam-5408	7	19	(	(	PUNCT
ejpam-5408	7	20	or	or	CCONJ
ejpam-5408	7	21	ultraspherical	ultraspherical	ADJ
ejpam-5408	7	22	)	)	PUNCT
ejpam-5408	7	23	polynomials	polynomial	NOUN
ejpam-5408	7	24	,	,	PUNCT
ejpam-5408	7	25	fekete	fekete	PROPN
ejpam-5408	7	26	-	-	PUNCT
ejpam-5408	7	27	szegö	szegö	VERB
ejpam-5408	7	28	functional	functional	ADJ
ejpam-5408	7	29	1	1	NUM
ejpam-5408	7	30	.	.	PUNCT
ejpam-5408	7	31	definitions	definition	NOUN
ejpam-5408	7	32	and	and	CCONJ
ejpam-5408	7	33	preliminaries	preliminary	NOUN
ejpam-5408	7	34	let	let	VERB
ejpam-5408	7	35	a	a	DET
ejpam-5408	7	36	denote	denote	NOUN
ejpam-5408	7	37	the	the	DET
ejpam-5408	7	38	class	class	NOUN
ejpam-5408	7	39	of	of	ADP
ejpam-5408	7	40	all	all	DET
ejpam-5408	7	41	analytic	analytic	ADJ
ejpam-5408	7	42	functions	function	NOUN
ejpam-5408	7	43	f	f	PRON
ejpam-5408	7	44	defined	define	VERB
ejpam-5408	7	45	in	in	ADP
ejpam-5408	7	46	the	the	DET
ejpam-5408	7	47	open	open	ADJ
ejpam-5408	7	48	unit	unit	NOUN
ejpam-5408	7	49	disk	disk	NOUN
ejpam-5408	7	50	u	u	NOUN
ejpam-5408	7	51	=	=	PUNCT
ejpam-5408	7	52	{	{	PUNCT
ejpam-5408	7	53	z	z	PROPN
ejpam-5408	7	54	∈	∈	PROPN
ejpam-5408	7	55	c	c	NOUN
ejpam-5408	7	56	:	:	PUNCT
ejpam-5408	7	57	|z|	|z|	VERB
ejpam-5408	7	58	<	<	X
ejpam-5408	7	59	1	1	NUM
ejpam-5408	7	60	}	}	PUNCT
ejpam-5408	7	61	and	and	CCONJ
ejpam-5408	7	62	normalized	normalize	VERB
ejpam-5408	7	63	by	by	ADP
ejpam-5408	7	64	the	the	DET
ejpam-5408	7	65	conditions	condition	NOUN
ejpam-5408	7	66	f(0	f(0	NOUN
ejpam-5408	7	67	)	)	PUNCT
ejpam-5408	7	68	=	=	SYM
ejpam-5408	7	69	0	0	NUM
ejpam-5408	7	70	and	and	CCONJ
ejpam-5408	7	71	f	f	PROPN
ejpam-5408	7	72	′(0	′(0	PROPN
ejpam-5408	7	73	)	)	PUNCT
ejpam-5408	7	74	=	=	SYM
ejpam-5408	8	1	1	1	X
ejpam-5408	8	2	.	.	PUNCT
ejpam-5408	8	3	thus	thus	ADV
ejpam-5408	8	4	each	each	DET
ejpam-5408	8	5	f	f	PROPN
ejpam-5408	8	6	∈	∈	PROPN
ejpam-5408	8	7	a	a	PRON
ejpam-5408	8	8	has	have	VERB
ejpam-5408	8	9	a	a	DET
ejpam-5408	8	10	taylor	taylor	PROPN
ejpam-5408	8	11	-	-	PUNCT
ejpam-5408	8	12	maclaurin	maclaurin	PROPN
ejpam-5408	8	13	series	series	NOUN
ejpam-5408	8	14	expansion	expansion	NOUN
ejpam-5408	8	15	of	of	ADP
ejpam-5408	8	16	the	the	DET
ejpam-5408	8	17	form	form	NOUN
ejpam-5408	8	18	:	:	PUNCT
ejpam-5408	8	19	f(z	f(z	NUM
ejpam-5408	8	20	)	)	PUNCT
ejpam-5408	8	21	=	=	PUNCT
ejpam-5408	9	1	z	z	NOUN
ejpam-5408	10	1	+	+	NOUN
ejpam-5408	10	2	∞∑	∞∑	NUM
ejpam-5408	10	3	n=2	n=2	PRON
ejpam-5408	10	4	an	an	DET
ejpam-5408	10	5	z	z	NOUN
ejpam-5408	10	6	n	n	CCONJ
ejpam-5408	10	7	,	,	PUNCT
ejpam-5408	10	8	(	(	PUNCT
ejpam-5408	10	9	z	z	NOUN
ejpam-5408	10	10	∈	∈	PROPN
ejpam-5408	10	11	u	u	NOUN
ejpam-5408	10	12	)	)	PUNCT
ejpam-5408	10	13	.	.	PUNCT
ejpam-5408	11	1	(	(	PUNCT
ejpam-5408	11	2	1	1	X
ejpam-5408	11	3	)	)	PUNCT
ejpam-5408	11	4	let	let	VERB
ejpam-5408	11	5	s	s	PRON
ejpam-5408	11	6	denote	denote	VERB
ejpam-5408	11	7	the	the	DET
ejpam-5408	11	8	class	class	NOUN
ejpam-5408	11	9	of	of	ADP
ejpam-5408	11	10	all	all	DET
ejpam-5408	11	11	functions	function	NOUN
ejpam-5408	11	12	f	f	PROPN
ejpam-5408	11	13	∈	∈	PROPN
ejpam-5408	11	14	a	a	PRON
ejpam-5408	11	15	which	which	PRON
ejpam-5408	11	16	are	be	AUX
ejpam-5408	11	17	univalent	univalent	ADJ
ejpam-5408	11	18	in	in	ADP
ejpam-5408	11	19	u.	u.	NOUN
ejpam-5408	11	20	in	in	ADP
ejpam-5408	11	21	addition	addition	NOUN
ejpam-5408	11	22	,	,	PUNCT
ejpam-5408	11	23	subordination	subordination	NOUN
ejpam-5408	11	24	,	,	PUNCT
ejpam-5408	11	25	denoted	denote	VERB
ejpam-5408	11	26	as	as	ADP
ejpam-5408	11	27	f	f	PROPN
ejpam-5408	11	28	≺	≺	NOUN
ejpam-5408	11	29	g	g	NOUN
ejpam-5408	11	30	,	,	PUNCT
ejpam-5408	11	31	between	between	ADP
ejpam-5408	11	32	functions	function	NOUN
ejpam-5408	11	33	f	f	PROPN
ejpam-5408	11	34	and	and	CCONJ
ejpam-5408	11	35	g	g	PROPN
ejpam-5408	11	36	in	in	ADP
ejpam-5408	11	37	s	s	PRON
ejpam-5408	11	38	occurs	occur	VERB
ejpam-5408	11	39	when	when	SCONJ
ejpam-5408	11	40	there	there	PRON
ejpam-5408	11	41	exists	exist	VERB
ejpam-5408	11	42	∗corresponding	∗corresponde	VERB
ejpam-5408	11	43	author	author	NOUN
ejpam-5408	11	44	.	.	PUNCT
ejpam-5408	12	1	doi	doi	NOUN
ejpam-5408	12	2	:	:	PUNCT
ejpam-5408	12	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5408	https://doi.org/10.29020/nybg.ejpam.v17i4.5408	NUM
ejpam-5408	12	4	email	email	NOUN
ejpam-5408	12	5	addresses	address	NOUN
ejpam-5408	12	6	:	:	PUNCT
ejpam-5408	12	7	millafe@navajotech.edu	millafe@navajotech.edu	PROPN
ejpam-5408	12	8	(	(	PUNCT
ejpam-5408	12	9	m.	m.	NOUN
ejpam-5408	12	10	illafe	illafe	ADJ
ejpam-5408	12	11	)	)	PUNCT
ejpam-5408	12	12	,	,	PUNCT
ejpam-5408	12	13	maisarah	maisarah	PROPN
ejpam-5408	12	14	hjmohd@usm.my	hjmohd@usm.my	X
ejpam-5408	12	15	(	(	PUNCT
ejpam-5408	12	16	m.	m.	NOUN
ejpam-5408	12	17	haji	haji	PROPN
ejpam-5408	12	18	mohd	mohd	PROPN
ejpam-5408	12	19	)	)	PUNCT
ejpam-5408	12	20	,	,	PUNCT
ejpam-5408	12	21	fyousef@ju.edu.jo	fyousef@ju.edu.jo	NOUN
ejpam-5408	12	22	(	(	PUNCT
ejpam-5408	12	23	f.	f.	PROPN
ejpam-5408	12	24	yousef	yousef	PROPN
ejpam-5408	12	25	)	)	PUNCT
ejpam-5408	12	26	,	,	PUNCT
ejpam-5408	12	27	shamani@usm.my	shamani@usm.my	X
ejpam-5408	12	28	(	(	PUNCT
ejpam-5408	12	29	s.	s.	PROPN
ejpam-5408	12	30	supramaniam	supramaniam	PROPN
ejpam-5408	12	31	)	)	PUNCT
ejpam-5408	12	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5408	12	33	2467	2467	NUM
ejpam-5408	12	34	copyright	copyright	NOUN
ejpam-5408	12	35	:	:	PUNCT
ejpam-5408	12	36	©	©	PROPN
ejpam-5408	12	37	2024	2024	NUM
ejpam-5408	12	38	the	the	DET
ejpam-5408	12	39	author(s	author(s	NOUN
ejpam-5408	12	40	)	)	PUNCT
ejpam-5408	12	41	.	.	PUNCT
ejpam-5408	13	1	(	(	PUNCT
ejpam-5408	13	2	cc	cc	NOUN
ejpam-5408	13	3	by	by	ADP
ejpam-5408	13	4	-	-	PUNCT
ejpam-5408	13	5	nc	nc	PROPN
ejpam-5408	13	6	4.0	4.0	NUM
ejpam-5408	13	7	)	)	PUNCT
ejpam-5408	13	8	m.	m.	NOUN
ejpam-5408	13	9	illafe	illafe	ADJ
ejpam-5408	13	10	et	et	PROPN
ejpam-5408	13	11	al	al	PROPN
ejpam-5408	13	12	.	.	PUNCT
ejpam-5408	13	13	/	/	SYM
ejpam-5408	13	14	eur	eur	PROPN
ejpam-5408	13	15	.	.	PUNCT
ejpam-5408	14	1	j.	j.	PROPN
ejpam-5408	14	2	pure	pure	PROPN
ejpam-5408	14	3	appl	appl	PROPN
ejpam-5408	14	4	.	.	PROPN
ejpam-5408	14	5	math	math	PROPN
ejpam-5408	14	6	,	,	PUNCT
ejpam-5408	14	7	17	17	NUM
ejpam-5408	14	8	(	(	PUNCT
ejpam-5408	14	9	4	4	NUM
ejpam-5408	14	10	)	)	PUNCT
ejpam-5408	14	11	(	(	PUNCT
ejpam-5408	14	12	2024	2024	NUM
ejpam-5408	14	13	)	)	PUNCT
ejpam-5408	14	14	,	,	PUNCT
ejpam-5408	14	15	2467	2467	NUM
ejpam-5408	14	16	-	-	SYM
ejpam-5408	14	17	2480	2480	NUM
ejpam-5408	14	18	2468	2468	NUM
ejpam-5408	14	19	an	an	DET
ejpam-5408	14	20	analytic	analytic	ADJ
ejpam-5408	14	21	function	function	NOUN
ejpam-5408	14	22	w(z	w(z	NOUN
ejpam-5408	14	23	)	)	PUNCT
ejpam-5408	14	24	such	such	ADJ
ejpam-5408	14	25	that	that	DET
ejpam-5408	14	26	w(0	w(0	PROPN
ejpam-5408	14	27	)	)	PUNCT
ejpam-5408	14	28	=	=	SYM
ejpam-5408	14	29	0	0	NUM
ejpam-5408	14	30	,	,	PUNCT
ejpam-5408	14	31	|w(z)|	|w(z)|	VERB
ejpam-5408	14	32	<	<	X
ejpam-5408	14	33	1	1	NUM
ejpam-5408	14	34	for	for	ADP
ejpam-5408	14	35	z	z	PROPN
ejpam-5408	14	36	∈	∈	PROPN
ejpam-5408	14	37	u	u	NOUN
ejpam-5408	14	38	,	,	PUNCT
ejpam-5408	14	39	and	and	CCONJ
ejpam-5408	14	40	f(z	f(z	PROPN
ejpam-5408	14	41	)	)	PUNCT
ejpam-5408	14	42	=	=	SYM
ejpam-5408	14	43	g(w(z	g(w(z	PROPN
ejpam-5408	14	44	)	)	PUNCT
ejpam-5408	14	45	)	)	PUNCT
ejpam-5408	14	46	.	.	PUNCT
ejpam-5408	15	1	the	the	DET
ejpam-5408	15	2	inverse	inverse	NOUN
ejpam-5408	15	3	function	function	NOUN
ejpam-5408	15	4	of	of	ADP
ejpam-5408	15	5	the	the	DET
ejpam-5408	15	6	function	function	NOUN
ejpam-5408	15	7	f	f	PROPN
ejpam-5408	15	8	∈	∈	PROPN
ejpam-5408	15	9	s	s	VERB
ejpam-5408	15	10	is	be	AUX
ejpam-5408	15	11	given	give	VERB
ejpam-5408	15	12	by	by	ADP
ejpam-5408	15	13	:	:	PUNCT
ejpam-5408	15	14	f−1(w	f−1(w	ADJ
ejpam-5408	15	15	)	)	PUNCT
ejpam-5408	15	16	=	=	PUNCT
ejpam-5408	16	1	w	w	PROPN
ejpam-5408	16	2	−	−	NOUN
ejpam-5408	16	3	a2w	a2w	PROPN
ejpam-5408	16	4	2	2	NUM
ejpam-5408	16	5	+	+	CCONJ
ejpam-5408	16	6	(	(	PUNCT
ejpam-5408	16	7	2a22	2a22	NUM
ejpam-5408	16	8	−	−	PROPN
ejpam-5408	16	9	a3	a3	PROPN
ejpam-5408	16	10	)	)	PUNCT
ejpam-5408	16	11	w3	w3	PROPN
ejpam-5408	16	12	−	−	PROPN
ejpam-5408	16	13	(	(	PUNCT
ejpam-5408	16	14	5a32	5a32	NUM
ejpam-5408	16	15	−	−	NUM
ejpam-5408	16	16	5a2a3	5a2a3	NUM
ejpam-5408	16	17	+	+	NUM
ejpam-5408	16	18	a4	a4	NOUN
ejpam-5408	16	19	)	)	PUNCT
ejpam-5408	16	20	w4	w4	NOUN
ejpam-5408	16	21	+	+	CCONJ
ejpam-5408	16	22	·	·	PUNCT
ejpam-5408	16	23	·	·	PUNCT
ejpam-5408	16	24	·	·	PUNCT
ejpam-5408	16	25	.	.	PUNCT
ejpam-5408	17	1	(	(	PUNCT
ejpam-5408	17	2	2	2	X
ejpam-5408	17	3	)	)	PUNCT
ejpam-5408	17	4	a	a	DET
ejpam-5408	17	5	function	function	NOUN
ejpam-5408	17	6	f	f	PROPN
ejpam-5408	17	7	is	be	AUX
ejpam-5408	17	8	said	say	VERB
ejpam-5408	17	9	to	to	PART
ejpam-5408	17	10	be	be	AUX
ejpam-5408	17	11	bi	bi	ADJ
ejpam-5408	17	12	-	-	ADJ
ejpam-5408	17	13	univalent	univalent	ADJ
ejpam-5408	17	14	in	in	ADP
ejpam-5408	17	15	u	u	PRON
ejpam-5408	17	16	if	if	SCONJ
ejpam-5408	17	17	both	both	DET
ejpam-5408	17	18	f(z	f(z	NOUN
ejpam-5408	17	19	)	)	PUNCT
ejpam-5408	17	20	and	and	CCONJ
ejpam-5408	17	21	f−1(z	f−1(z	PROPN
ejpam-5408	17	22	)	)	PUNCT
ejpam-5408	17	23	are	be	AUX
ejpam-5408	17	24	univalent	univalent	ADJ
ejpam-5408	17	25	in	in	ADP
ejpam-5408	17	26	u.	u.	NOUN
ejpam-5408	18	1	let	let	VERB
ejpam-5408	18	2	σ	σ	NOUN
ejpam-5408	18	3	denote	denote	VERB
ejpam-5408	18	4	the	the	DET
ejpam-5408	18	5	class	class	NOUN
ejpam-5408	18	6	of	of	ADP
ejpam-5408	18	7	bi	bi	ADJ
ejpam-5408	18	8	-	-	ADJ
ejpam-5408	18	9	univalent	univalent	ADJ
ejpam-5408	18	10	functions	function	NOUN
ejpam-5408	18	11	in	in	ADP
ejpam-5408	18	12	u	u	NOUN
ejpam-5408	18	13	given	give	VERB
ejpam-5408	18	14	by	by	ADP
ejpam-5408	18	15	(	(	PUNCT
ejpam-5408	18	16	1	1	NUM
ejpam-5408	18	17	)	)	PUNCT
ejpam-5408	18	18	.	.	PUNCT
ejpam-5408	19	1	lewin	lewin	PROPN
ejpam-5408	20	1	[	[	X
ejpam-5408	20	2	25	25	NUM
ejpam-5408	20	3	]	]	PUNCT
ejpam-5408	20	4	,	,	PUNCT
ejpam-5408	20	5	brannan	brannan	PROPN
ejpam-5408	20	6	and	and	CCONJ
ejpam-5408	20	7	clunie	clunie	NOUN
ejpam-5408	21	1	[	[	X
ejpam-5408	21	2	9	9	NUM
ejpam-5408	21	3	]	]	PUNCT
ejpam-5408	21	4	,	,	PUNCT
ejpam-5408	21	5	and	and	CCONJ
ejpam-5408	21	6	netanyahu	netanyahu	PROPN
ejpam-5408	21	7	[	[	X
ejpam-5408	21	8	28	28	NUM
ejpam-5408	21	9	]	]	PUNCT
ejpam-5408	21	10	are	be	AUX
ejpam-5408	21	11	known	know	VERB
ejpam-5408	21	12	to	to	PART
ejpam-5408	21	13	be	be	AUX
ejpam-5408	21	14	the	the	DET
ejpam-5408	21	15	first	first	ADJ
ejpam-5408	21	16	researchers	researcher	NOUN
ejpam-5408	21	17	who	who	PRON
ejpam-5408	21	18	have	have	AUX
ejpam-5408	21	19	studied	study	VERB
ejpam-5408	21	20	the	the	DET
ejpam-5408	21	21	class	class	NOUN
ejpam-5408	21	22	σ	σ	PROPN
ejpam-5408	21	23	.	.	PUNCT
ejpam-5408	22	1	since	since	SCONJ
ejpam-5408	22	2	then	then	ADV
ejpam-5408	22	3	,	,	PUNCT
ejpam-5408	22	4	the	the	DET
ejpam-5408	22	5	class	class	NOUN
ejpam-5408	22	6	σ	σ	PROPN
ejpam-5408	22	7	has	have	AUX
ejpam-5408	22	8	attracted	attract	VERB
ejpam-5408	22	9	several	several	ADJ
ejpam-5408	22	10	researchers	researcher	NOUN
ejpam-5408	22	11	,	,	PUNCT
ejpam-5408	22	12	see	see	VERB
ejpam-5408	22	13	[	[	X
ejpam-5408	22	14	2	2	NUM
ejpam-5408	22	15	,	,	PUNCT
ejpam-5408	22	16	3	3	NUM
ejpam-5408	22	17	,	,	PUNCT
ejpam-5408	22	18	13	13	NUM
ejpam-5408	22	19	,	,	PUNCT
ejpam-5408	22	20	16	16	NUM
ejpam-5408	22	21	,	,	PUNCT
ejpam-5408	22	22	20	20	NUM
ejpam-5408	22	23	,	,	PUNCT
ejpam-5408	22	24	27	27	NUM
ejpam-5408	22	25	,	,	PUNCT
ejpam-5408	22	26	30	30	NUM
ejpam-5408	22	27	,	,	PUNCT
ejpam-5408	22	28	33	33	NUM
ejpam-5408	22	29	,	,	PUNCT
ejpam-5408	22	30	34	34	NUM
ejpam-5408	22	31	]	]	PUNCT
ejpam-5408	22	32	.	.	PUNCT
ejpam-5408	23	1	orthogonal	orthogonal	ADJ
ejpam-5408	23	2	polynomials	polynomial	NOUN
ejpam-5408	23	3	have	have	AUX
ejpam-5408	23	4	been	be	AUX
ejpam-5408	23	5	widely	widely	ADV
ejpam-5408	23	6	studied	study	VERB
ejpam-5408	23	7	since	since	SCONJ
ejpam-5408	23	8	their	their	PRON
ejpam-5408	23	9	discovery	discovery	NOUN
ejpam-5408	23	10	by	by	ADP
ejpam-5408	23	11	legendre	legendre	PROPN
ejpam-5408	23	12	in	in	ADP
ejpam-5408	23	13	1784	1784	NUM
ejpam-5408	23	14	[	[	X
ejpam-5408	23	15	24	24	NUM
ejpam-5408	23	16	]	]	PUNCT
ejpam-5408	23	17	.	.	PUNCT
ejpam-5408	24	1	they	they	PRON
ejpam-5408	24	2	have	have	AUX
ejpam-5408	24	3	been	be	AUX
ejpam-5408	24	4	used	use	VERB
ejpam-5408	24	5	as	as	ADP
ejpam-5408	24	6	a	a	DET
ejpam-5408	24	7	mathematical	mathematical	ADJ
ejpam-5408	24	8	approach	approach	NOUN
ejpam-5408	24	9	to	to	PART
ejpam-5408	24	10	solve	solve	VERB
ejpam-5408	24	11	ordinary	ordinary	ADJ
ejpam-5408	24	12	differential	differential	ADJ
ejpam-5408	24	13	equations	equation	NOUN
ejpam-5408	24	14	associated	associate	VERB
ejpam-5408	24	15	with	with	ADP
ejpam-5408	24	16	model	model	NOUN
ejpam-5408	24	17	problems	problem	NOUN
ejpam-5408	24	18	under	under	ADP
ejpam-5408	24	19	certain	certain	ADJ
ejpam-5408	24	20	conditions	condition	NOUN
ejpam-5408	24	21	.	.	PUNCT
ejpam-5408	25	1	the	the	DET
ejpam-5408	25	2	advantages	advantage	NOUN
ejpam-5408	25	3	of	of	ADP
ejpam-5408	25	4	orthogonal	orthogonal	ADJ
ejpam-5408	25	5	polynomials	polynomial	NOUN
ejpam-5408	25	6	in	in	ADP
ejpam-5408	25	7	modern	modern	ADJ
ejpam-5408	25	8	mathematics	mathematic	NOUN
ejpam-5408	25	9	and	and	CCONJ
ejpam-5408	25	10	their	their	PRON
ejpam-5408	25	11	application	application	NOUN
ejpam-5408	25	12	in	in	ADP
ejpam-5408	25	13	physics	physics	NOUN
ejpam-5408	25	14	and	and	CCONJ
ejpam-5408	25	15	engineering	engineering	NOUN
ejpam-5408	25	16	can	can	AUX
ejpam-5408	25	17	not	not	PART
ejpam-5408	25	18	be	be	AUX
ejpam-5408	25	19	ignored	ignore	VERB
ejpam-5408	25	20	.	.	PUNCT
ejpam-5408	26	1	orthogonal	orthogonal	ADJ
ejpam-5408	26	2	polynomials	polynomial	NOUN
ejpam-5408	26	3	play	play	VERB
ejpam-5408	26	4	a	a	DET
ejpam-5408	26	5	key	key	ADJ
ejpam-5408	26	6	role	role	NOUN
ejpam-5408	26	7	in	in	ADP
ejpam-5408	26	8	approximation	approximation	NOUN
ejpam-5408	26	9	theory	theory	NOUN
ejpam-5408	26	10	,	,	PUNCT
ejpam-5408	26	11	differential	differential	ADJ
ejpam-5408	26	12	integral	integral	ADJ
ejpam-5408	26	13	equations	equation	NOUN
ejpam-5408	26	14	,	,	PUNCT
ejpam-5408	26	15	and	and	CCONJ
ejpam-5408	26	16	mathematical	mathematical	ADJ
ejpam-5408	26	17	statistics	statistic	NOUN
ejpam-5408	26	18	.	.	PUNCT
ejpam-5408	27	1	additionally	additionally	ADV
ejpam-5408	27	2	,	,	PUNCT
ejpam-5408	27	3	these	these	DET
ejpam-5408	27	4	polynomials	polynomial	NOUN
ejpam-5408	27	5	have	have	AUX
ejpam-5408	27	6	been	be	AUX
ejpam-5408	27	7	instrumental	instrumental	ADJ
ejpam-5408	27	8	in	in	ADP
ejpam-5408	27	9	various	various	ADJ
ejpam-5408	27	10	applications	application	NOUN
ejpam-5408	27	11	,	,	PUNCT
ejpam-5408	27	12	such	such	ADJ
ejpam-5408	27	13	as	as	ADP
ejpam-5408	27	14	scattering	scatter	VERB
ejpam-5408	27	15	theory	theory	NOUN
ejpam-5408	27	16	,	,	PUNCT
ejpam-5408	27	17	signal	signal	VERB
ejpam-5408	27	18	analysis	analysis	NOUN
ejpam-5408	27	19	[	[	X
ejpam-5408	27	20	1	1	NUM
ejpam-5408	27	21	,	,	PUNCT
ejpam-5408	27	22	5	5	NUM
ejpam-5408	27	23	,	,	PUNCT
ejpam-5408	27	24	8	8	NUM
ejpam-5408	27	25	,	,	PUNCT
ejpam-5408	27	26	10	10	NUM
ejpam-5408	27	27	,	,	PUNCT
ejpam-5408	27	28	12	12	NUM
ejpam-5408	27	29	,	,	PUNCT
ejpam-5408	27	30	14	14	NUM
ejpam-5408	27	31	,	,	PUNCT
ejpam-5408	27	32	15	15	NUM
ejpam-5408	27	33	,	,	PUNCT
ejpam-5408	27	34	17	17	NUM
ejpam-5408	27	35	,	,	PUNCT
ejpam-5408	27	36	18	18	NUM
ejpam-5408	27	37	,	,	PUNCT
ejpam-5408	27	38	31	31	NUM
ejpam-5408	27	39	]	]	PUNCT
ejpam-5408	27	40	.	.	PUNCT
ejpam-5408	28	1	let	let	AUX
ejpam-5408	28	2	cα	cα	VERB
ejpam-5408	28	3	n	n	PROPN
ejpam-5408	28	4	(	(	PUNCT
ejpam-5408	28	5	x	x	X
ejpam-5408	28	6	)	)	PUNCT
ejpam-5408	28	7	be	be	VERB
ejpam-5408	28	8	the	the	DET
ejpam-5408	28	9	gegenbauer	gegenbauer	NOUN
ejpam-5408	28	10	polynomial	polynomial	NOUN
ejpam-5408	28	11	of	of	ADP
ejpam-5408	28	12	degree	degree	NOUN
ejpam-5408	28	13	n	n	PRON
ejpam-5408	28	14	defined	define	VERB
ejpam-5408	28	15	using	use	VERB
ejpam-5408	28	16	the	the	DET
ejpam-5408	28	17	following	follow	VERB
ejpam-5408	28	18	recurrence	recurrence	NOUN
ejpam-5408	28	19	relation	relation	NOUN
ejpam-5408	28	20	cα	cα	ADP
ejpam-5408	28	21	n	n	PROPN
ejpam-5408	28	22	(	(	PUNCT
ejpam-5408	28	23	x	x	X
ejpam-5408	28	24	)	)	PUNCT
ejpam-5408	28	25	=	=	SYM
ejpam-5408	28	26	1	1	NUM
ejpam-5408	28	27	n	n	PROPN
ejpam-5408	28	28	[	[	PUNCT
ejpam-5408	28	29	2x(n+	2x(n+	NUM
ejpam-5408	28	30	α−	α−	ADP
ejpam-5408	28	31	1)cα	1)cα	PROPN
ejpam-5408	28	32	n−1(x)−	n−1(x)−	X
ejpam-5408	28	33	(	(	PUNCT
ejpam-5408	28	34	n+	n+	NUM
ejpam-5408	28	35	2α−	2α−	NUM
ejpam-5408	28	36	2)cα	2)cα	NUM
ejpam-5408	28	37	n−1(x	n−1(x	PROPN
ejpam-5408	28	38	)	)	PUNCT
ejpam-5408	28	39	]	]	PUNCT
ejpam-5408	28	40	,	,	PUNCT
ejpam-5408	28	41	with	with	ADP
ejpam-5408	28	42	cα	cα	ADP
ejpam-5408	28	43	0	0	NUM
ejpam-5408	28	44	(	(	PUNCT
ejpam-5408	28	45	x	x	NOUN
ejpam-5408	28	46	)	)	PUNCT
ejpam-5408	28	47	=	=	SYM
ejpam-5408	28	48	1	1	NUM
ejpam-5408	28	49	,	,	PUNCT
ejpam-5408	28	50	cα	cα	ADP
ejpam-5408	28	51	1	1	NUM
ejpam-5408	28	52	(	(	PUNCT
ejpam-5408	28	53	x	x	NOUN
ejpam-5408	28	54	)	)	PUNCT
ejpam-5408	28	55	=	=	SYM
ejpam-5408	28	56	2αx	2αx	NOUN
ejpam-5408	28	57	,	,	PUNCT
ejpam-5408	28	58	cα	cα	ADP
ejpam-5408	28	59	2	2	NUM
ejpam-5408	28	60	(	(	PUNCT
ejpam-5408	28	61	x	x	NOUN
ejpam-5408	28	62	)	)	PUNCT
ejpam-5408	28	63	=	=	SYM
ejpam-5408	28	64	2α(1	2α(1	X
ejpam-5408	29	1	+	+	PUNCT
ejpam-5408	29	2	α)x2	α)x2	NOUN
ejpam-5408	29	3	−	−	NOUN
ejpam-5408	29	4	α	α	X
ejpam-5408	29	5	.	.	PUNCT
ejpam-5408	30	1	(	(	PUNCT
ejpam-5408	30	2	3	3	X
ejpam-5408	30	3	)	)	PUNCT
ejpam-5408	30	4	the	the	DET
ejpam-5408	30	5	gegenbauer	gegenbauer	NOUN
ejpam-5408	30	6	polynomials	polynomial	VERB
ejpam-5408	30	7	generate	generate	VERB
ejpam-5408	30	8	legendre	legendre	NOUN
ejpam-5408	30	9	polynomials	polynomial	NOUN
ejpam-5408	30	10	and	and	CCONJ
ejpam-5408	30	11	chebyshev	chebyshev	NOUN
ejpam-5408	30	12	polynomials	polynomial	NOUN
ejpam-5408	30	13	when	when	SCONJ
ejpam-5408	30	14	taking	take	VERB
ejpam-5408	30	15	α	α	PRON
ejpam-5408	30	16	equaling	equal	VERB
ejpam-5408	30	17	1/2	1/2	NUM
ejpam-5408	30	18	and	and	CCONJ
ejpam-5408	30	19	1	1	NUM
ejpam-5408	30	20	,	,	PUNCT
ejpam-5408	30	21	respectively	respectively	ADV
ejpam-5408	30	22	.	.	PUNCT
ejpam-5408	31	1	amourah	amourah	PROPN
ejpam-5408	31	2	et	et	PROPN
ejpam-5408	31	3	al	al	PROPN
ejpam-5408	31	4	.	.	PUNCT
ejpam-5408	32	1	[	[	X
ejpam-5408	32	2	6	6	NUM
ejpam-5408	32	3	]	]	PUNCT
ejpam-5408	32	4	were	be	AUX
ejpam-5408	32	5	the	the	DET
ejpam-5408	32	6	first	first	ADJ
ejpam-5408	32	7	to	to	PART
ejpam-5408	32	8	investigate	investigate	VERB
ejpam-5408	32	9	the	the	DET
ejpam-5408	32	10	polynomials	polynomial	NOUN
ejpam-5408	32	11	generated	generate	VERB
ejpam-5408	32	12	by	by	ADP
ejpam-5408	32	13	hα(x	hα(x	PROPN
ejpam-5408	32	14	,	,	PUNCT
ejpam-5408	32	15	z	z	NOUN
ejpam-5408	32	16	)	)	PUNCT
ejpam-5408	32	17	,	,	PUNCT
ejpam-5408	32	18	defining	define	VERB
ejpam-5408	32	19	them	they	PRON
ejpam-5408	32	20	as	as	SCONJ
ejpam-5408	32	21	follows	follow	VERB
ejpam-5408	32	22	:	:	PUNCT
ejpam-5408	32	23	hα(x	hα(x	ADJ
ejpam-5408	32	24	,	,	PUNCT
ejpam-5408	32	25	z	z	NOUN
ejpam-5408	32	26	)	)	PUNCT
ejpam-5408	32	27	=	=	SYM
ejpam-5408	32	28	1	1	NUM
ejpam-5408	32	29	(	(	PUNCT
ejpam-5408	32	30	1−	1−	NUM
ejpam-5408	32	31	2xz	2xz	NOUN
ejpam-5408	32	32	+	+	CCONJ
ejpam-5408	32	33	z2)α	z2)α	NOUN
ejpam-5408	32	34	,	,	PUNCT
ejpam-5408	32	35	(	(	PUNCT
ejpam-5408	32	36	−1	−1	NOUN
ejpam-5408	32	37	≤	≤	NUM
ejpam-5408	32	38	x	x	PUNCT
ejpam-5408	32	39	≤	≤	NUM
ejpam-5408	32	40	1	1	NUM
ejpam-5408	32	41	,	,	PUNCT
ejpam-5408	32	42	and	and	CCONJ
ejpam-5408	32	43	z	z	NOUN
ejpam-5408	32	44	∈	∈	PROPN
ejpam-5408	32	45	u	u	NOUN
ejpam-5408	32	46	)	)	PUNCT
ejpam-5408	32	47	.	.	PUNCT
ejpam-5408	33	1	also	also	ADV
ejpam-5408	33	2	,	,	PUNCT
ejpam-5408	33	3	since	since	SCONJ
ejpam-5408	33	4	hα	hα	ADP
ejpam-5408	33	5	is	be	AUX
ejpam-5408	33	6	an	an	DET
ejpam-5408	33	7	analytic	analytic	ADJ
ejpam-5408	33	8	function	function	NOUN
ejpam-5408	33	9	in	in	ADP
ejpam-5408	33	10	u	u	NOUN
ejpam-5408	33	11	,	,	PUNCT
ejpam-5408	33	12	it	it	PRON
ejpam-5408	33	13	can	can	AUX
ejpam-5408	33	14	be	be	AUX
ejpam-5408	33	15	expressed	express	VERB
ejpam-5408	33	16	as	as	SCONJ
ejpam-5408	33	17	follows	follow	VERB
ejpam-5408	33	18	:	:	PUNCT
ejpam-5408	33	19	hα(x	hα(x	ADJ
ejpam-5408	33	20	,	,	PUNCT
ejpam-5408	33	21	z	z	NOUN
ejpam-5408	33	22	)	)	PUNCT
ejpam-5408	33	23	=	=	PUNCT
ejpam-5408	34	1	∞∑	∞∑	PRON
ejpam-5408	34	2	n=0	n=0	NUM
ejpam-5408	34	3	cα	cα	ADP
ejpam-5408	34	4	n	n	PROPN
ejpam-5408	34	5	(	(	PUNCT
ejpam-5408	34	6	x)z	x)z	X
ejpam-5408	35	1	n.	n.	NOUN
ejpam-5408	35	2	(	(	PUNCT
ejpam-5408	35	3	4	4	NUM
ejpam-5408	35	4	)	)	PUNCT
ejpam-5408	35	5	the	the	DET
ejpam-5408	35	6	theory	theory	NOUN
ejpam-5408	35	7	of	of	ADP
ejpam-5408	35	8	q	q	ADJ
ejpam-5408	35	9	-	-	PUNCT
ejpam-5408	35	10	calculus	calculus	NOUN
ejpam-5408	35	11	operators	operator	NOUN
ejpam-5408	35	12	has	have	VERB
ejpam-5408	35	13	many	many	ADJ
ejpam-5408	35	14	applications	application	NOUN
ejpam-5408	35	15	in	in	ADP
ejpam-5408	35	16	science	science	NOUN
ejpam-5408	35	17	and	and	CCONJ
ejpam-5408	35	18	engineering	engineering	NOUN
ejpam-5408	35	19	.	.	PUNCT
ejpam-5408	36	1	notably	notably	ADV
ejpam-5408	36	2	,	,	PUNCT
ejpam-5408	36	3	several	several	ADJ
ejpam-5408	36	4	researchers	researcher	NOUN
ejpam-5408	36	5	have	have	AUX
ejpam-5408	36	6	made	make	VERB
ejpam-5408	36	7	significant	significant	ADJ
ejpam-5408	36	8	contributions	contribution	NOUN
ejpam-5408	36	9	to	to	ADP
ejpam-5408	36	10	the	the	DET
ejpam-5408	36	11	study	study	NOUN
ejpam-5408	36	12	of	of	ADP
ejpam-5408	36	13	q	q	NOUN
ejpam-5408	36	14	-	-	PUNCT
ejpam-5408	36	15	calculus	calculus	NOUN
ejpam-5408	36	16	,	,	PUNCT
ejpam-5408	36	17	see	see	VERB
ejpam-5408	36	18	[	[	X
ejpam-5408	36	19	4	4	NUM
ejpam-5408	36	20	,	,	PUNCT
ejpam-5408	36	21	7	7	NUM
ejpam-5408	36	22	,	,	PUNCT
ejpam-5408	36	23	23	23	NUM
ejpam-5408	36	24	,	,	PUNCT
ejpam-5408	36	25	26	26	NUM
ejpam-5408	36	26	,	,	PUNCT
ejpam-5408	36	27	29	29	NUM
ejpam-5408	36	28	]	]	PUNCT
ejpam-5408	36	29	.	.	PUNCT
ejpam-5408	37	1	m.	m.	NOUN
ejpam-5408	37	2	illafe	illafe	ADJ
ejpam-5408	37	3	et	et	PROPN
ejpam-5408	37	4	al	al	PROPN
ejpam-5408	37	5	.	.	PUNCT
ejpam-5408	37	6	/	/	SYM
ejpam-5408	37	7	eur	eur	PROPN
ejpam-5408	37	8	.	.	PUNCT
ejpam-5408	38	1	j.	j.	PROPN
ejpam-5408	38	2	pure	pure	PROPN
ejpam-5408	38	3	appl	appl	PROPN
ejpam-5408	38	4	.	.	PROPN
ejpam-5408	38	5	math	math	PROPN
ejpam-5408	38	6	,	,	PUNCT
ejpam-5408	38	7	17	17	NUM
ejpam-5408	38	8	(	(	PUNCT
ejpam-5408	38	9	4	4	NUM
ejpam-5408	38	10	)	)	PUNCT
ejpam-5408	38	11	(	(	PUNCT
ejpam-5408	38	12	2024	2024	NUM
ejpam-5408	38	13	)	)	PUNCT
ejpam-5408	38	14	,	,	PUNCT
ejpam-5408	38	15	2467	2467	NUM
ejpam-5408	38	16	-	-	SYM
ejpam-5408	38	17	2480	2480	NUM
ejpam-5408	38	18	2469	2469	NUM
ejpam-5408	38	19	definition	definition	NOUN
ejpam-5408	38	20	1	1	NUM
ejpam-5408	38	21	.	.	PUNCT
ejpam-5408	39	1	(	(	PUNCT
ejpam-5408	39	2	[	[	X
ejpam-5408	39	3	22	22	NUM
ejpam-5408	39	4	]	]	PUNCT
ejpam-5408	39	5	)	)	PUNCT
ejpam-5408	39	6	let	let	VERB
ejpam-5408	39	7	f	f	PROPN
ejpam-5408	39	8	∈	∈	PROPN
ejpam-5408	39	9	a	a	PRON
ejpam-5408	39	10	,	,	PUNCT
ejpam-5408	39	11	the	the	DET
ejpam-5408	39	12	jackson	jackson	PROPN
ejpam-5408	39	13	’s	’s	PART
ejpam-5408	39	14	q	q	NOUN
ejpam-5408	39	15	-	-	ADJ
ejpam-5408	39	16	derivative	derivative	ADJ
ejpam-5408	39	17	is	be	AUX
ejpam-5408	39	18	defined	define	VERB
ejpam-5408	39	19	by	by	ADP
ejpam-5408	39	20	dqf(z	dqf(z	PROPN
ejpam-5408	39	21	)	)	PUNCT
ejpam-5408	39	22	=	=	SYM
ejpam-5408	39	23	{	{	PUNCT
ejpam-5408	39	24	f(z)−f(qz	f(z)−f(qz	PROPN
ejpam-5408	39	25	)	)	PUNCT
ejpam-5408	39	26	(	(	PUNCT
ejpam-5408	39	27	1−q)z	1−q)z	NUM
ejpam-5408	39	28	for	for	ADP
ejpam-5408	39	29	z	z	PROPN
ejpam-5408	39	30	̸=	̸=	PROPN
ejpam-5408	39	31	0	0	NUM
ejpam-5408	39	32	,	,	PUNCT
ejpam-5408	39	33	f	f	PROPN
ejpam-5408	39	34	′(0	′(0	PROPN
ejpam-5408	39	35	)	)	PUNCT
ejpam-5408	39	36	for	for	ADP
ejpam-5408	39	37	z	z	NOUN
ejpam-5408	39	38	=	=	SYM
ejpam-5408	39	39	0	0	NUM
ejpam-5408	39	40	(	(	PUNCT
ejpam-5408	39	41	5	5	NUM
ejpam-5408	39	42	)	)	PUNCT
ejpam-5408	39	43	where	where	SCONJ
ejpam-5408	39	44	0	0	NUM
ejpam-5408	39	45	<	<	X
ejpam-5408	39	46	q	q	X
ejpam-5408	39	47	<	<	X
ejpam-5408	39	48	1	1	NUM
ejpam-5408	39	49	.	.	PUNCT
ejpam-5408	39	50	from	from	ADP
ejpam-5408	39	51	(	(	PUNCT
ejpam-5408	39	52	5	5	NUM
ejpam-5408	39	53	)	)	PUNCT
ejpam-5408	39	54	,	,	PUNCT
ejpam-5408	39	55	we	we	PRON
ejpam-5408	39	56	can	can	AUX
ejpam-5408	39	57	write	write	VERB
ejpam-5408	39	58	dqf(z	dqf(z	PROPN
ejpam-5408	39	59	)	)	PUNCT
ejpam-5408	39	60	=	=	SYM
ejpam-5408	40	1	1	1	NUM
ejpam-5408	40	2	+	+	NUM
ejpam-5408	40	3	∞∑	∞∑	NUM
ejpam-5408	40	4	n=2	n=2	PRON
ejpam-5408	41	1	[	[	X
ejpam-5408	41	2	n]qanz	n]qanz	X
ejpam-5408	41	3	n−1	n−1	PROPN
ejpam-5408	41	4	(	(	PUNCT
ejpam-5408	41	5	6	6	NUM
ejpam-5408	41	6	)	)	PUNCT
ejpam-5408	41	7	where	where	SCONJ
ejpam-5408	41	8	[	[	X
ejpam-5408	41	9	n]q	n]q	NOUN
ejpam-5408	41	10	denotes	denote	VERB
ejpam-5408	41	11	the	the	DET
ejpam-5408	41	12	basic	basic	ADJ
ejpam-5408	41	13	number	number	NOUN
ejpam-5408	41	14	and	and	CCONJ
ejpam-5408	41	15	given	give	VERB
ejpam-5408	41	16	by	by	ADP
ejpam-5408	41	17	[	[	PUNCT
ejpam-5408	41	18	n]q	n]q	X
ejpam-5408	41	19	=	=	SYM
ejpam-5408	41	20	1−	1−	NUM
ejpam-5408	41	21	qn	qn	NOUN
ejpam-5408	41	22	1−	1−	NUM
ejpam-5408	41	23	q	q	NOUN
ejpam-5408	41	24	,	,	PUNCT
ejpam-5408	41	25	n	n	CCONJ
ejpam-5408	41	26	∈	∈	PROPN
ejpam-5408	41	27	n	n	NOUN
ejpam-5408	41	28	=	=	SYM
ejpam-5408	41	29	{	{	PUNCT
ejpam-5408	41	30	1	1	NUM
ejpam-5408	41	31	,	,	PUNCT
ejpam-5408	41	32	2	2	NUM
ejpam-5408	41	33	,	,	PUNCT
ejpam-5408	41	34	.	.	PUNCT
ejpam-5408	41	35	.	.	PUNCT
ejpam-5408	41	36	.	.	PUNCT
ejpam-5408	41	37	}	}	PUNCT
ejpam-5408	41	38	.	.	PUNCT
ejpam-5408	42	1	definition	definition	NOUN
ejpam-5408	42	2	2	2	NUM
ejpam-5408	42	3	.	.	PUNCT
ejpam-5408	43	1	for	for	ADP
ejpam-5408	43	2	a	a	DET
ejpam-5408	43	3	function	function	NOUN
ejpam-5408	43	4	f	f	NOUN
ejpam-5408	43	5	given	give	VERB
ejpam-5408	43	6	by	by	ADP
ejpam-5408	43	7	(	(	PUNCT
ejpam-5408	43	8	1	1	NUM
ejpam-5408	43	9	)	)	PUNCT
ejpam-5408	43	10	,	,	PUNCT
ejpam-5408	43	11	the	the	DET
ejpam-5408	43	12	symmetric	symmetric	ADJ
ejpam-5408	43	13	q	q	NOUN
ejpam-5408	43	14	-	-	ADJ
ejpam-5408	43	15	derivative	derivative	ADJ
ejpam-5408	43	16	is	be	AUX
ejpam-5408	43	17	defined	define	VERB
ejpam-5408	43	18	as	as	ADP
ejpam-5408	43	19	:(	:(	X
ejpam-5408	43	20	d̃qf	d̃qf	PROPN
ejpam-5408	43	21	)	)	PUNCT
ejpam-5408	44	1	(	(	PUNCT
ejpam-5408	44	2	z	z	X
ejpam-5408	44	3	)	)	PUNCT
ejpam-5408	44	4	=	=	PRON
ejpam-5408	44	5	{	{	PUNCT
ejpam-5408	44	6	f(qz)−f(q−1z	f(qz)−f(q−1z	NOUN
ejpam-5408	44	7	)	)	PUNCT
ejpam-5408	44	8	(	(	PUNCT
ejpam-5408	44	9	q−q−1)z	q−q−1)z	NOUN
ejpam-5408	44	10	z	z	PROPN
ejpam-5408	44	11	̸=	̸=	PROPN
ejpam-5408	44	12	0	0	NUM
ejpam-5408	44	13	f	f	PROPN
ejpam-5408	44	14	′(0	′(0	PROPN
ejpam-5408	44	15	)	)	PUNCT
ejpam-5408	45	1	z	z	NOUN
ejpam-5408	45	2	=	=	SYM
ejpam-5408	45	3	0	0	PROPN
ejpam-5408	45	4	.	.	PUNCT
ejpam-5408	46	1	(	(	PUNCT
ejpam-5408	46	2	7	7	X
ejpam-5408	46	3	)	)	PUNCT
ejpam-5408	46	4	equation	equation	NOUN
ejpam-5408	46	5	(	(	PUNCT
ejpam-5408	46	6	7	7	NUM
ejpam-5408	46	7	)	)	PUNCT
ejpam-5408	46	8	implies	imply	VERB
ejpam-5408	46	9	d̃qz	d̃qz	NOUN
ejpam-5408	46	10	n	n	NOUN
ejpam-5408	46	11	=	=	PUNCT
ejpam-5408	46	12	[	[	PUNCT
ejpam-5408	46	13	̃n]qz	̃n]qz	PROPN
ejpam-5408	46	14	n−1	n−1	PROPN
ejpam-5408	46	15	,	,	PUNCT
ejpam-5408	46	16	and	and	CCONJ
ejpam-5408	46	17	d̃qf	d̃qf	PROPN
ejpam-5408	46	18	of	of	ADP
ejpam-5408	46	19	a	a	DET
ejpam-5408	46	20	function	function	NOUN
ejpam-5408	46	21	f	f	NOUN
ejpam-5408	46	22	given	give	VERB
ejpam-5408	46	23	by	by	ADP
ejpam-5408	46	24	(	(	PUNCT
ejpam-5408	46	25	1	1	X
ejpam-5408	46	26	)	)	PUNCT
ejpam-5408	46	27	is	be	AUX
ejpam-5408	46	28	defined	define	VERB
ejpam-5408	46	29	as	as	ADP
ejpam-5408	46	30	(	(	PUNCT
ejpam-5408	46	31	d̃qf	d̃qf	PROPN
ejpam-5408	46	32	)	)	PUNCT
ejpam-5408	46	33	(	(	PUNCT
ejpam-5408	46	34	z	z	X
ejpam-5408	46	35	)	)	PUNCT
ejpam-5408	46	36	=	=	SYM
ejpam-5408	46	37	1	1	NUM
ejpam-5408	46	38	+	+	NUM
ejpam-5408	46	39	∞∑	∞∑	NUM
ejpam-5408	46	40	n=2	n=2	PRON
ejpam-5408	47	1	[	[	X
ejpam-5408	47	2	̃n]qanz	̃n]qanz	PROPN
ejpam-5408	47	3	n−1	n−1	PROPN
ejpam-5408	47	4	where	where	SCONJ
ejpam-5408	47	5	the	the	DET
ejpam-5408	47	6	symbol	symbol	NOUN
ejpam-5408	47	7	[	[	X
ejpam-5408	47	8	̃n]q	̃n]q	NOUN
ejpam-5408	47	9	is	be	AUX
ejpam-5408	47	10	defined	define	VERB
ejpam-5408	47	11	as	as	ADP
ejpam-5408	47	12	[	[	X
ejpam-5408	47	13	̃n]q	̃n]q	X
ejpam-5408	47	14	=	=	SYM
ejpam-5408	47	15	qn	qn	NOUN
ejpam-5408	47	16	−	−	PROPN
ejpam-5408	47	17	q−n	q−n	PROPN
ejpam-5408	47	18	q	q	NOUN
ejpam-5408	47	19	−	−	PROPN
ejpam-5408	47	20	q−1	q−1	PROPN
ejpam-5408	47	21	.	.	PUNCT
ejpam-5408	48	1	using	use	VERB
ejpam-5408	48	2	equations	equation	NOUN
ejpam-5408	48	3	(	(	PUNCT
ejpam-5408	48	4	2	2	NUM
ejpam-5408	48	5	)	)	PUNCT
ejpam-5408	48	6	and	and	CCONJ
ejpam-5408	48	7	(	(	PUNCT
ejpam-5408	48	8	7	7	NUM
ejpam-5408	48	9	)	)	PUNCT
ejpam-5408	48	10	,	,	PUNCT
ejpam-5408	48	11	we	we	PRON
ejpam-5408	48	12	obtain	obtain	VERB
ejpam-5408	48	13	(	(	PUNCT
ejpam-5408	48	14	d̃qg	d̃qg	NOUN
ejpam-5408	48	15	)	)	PUNCT
ejpam-5408	48	16	(	(	PUNCT
ejpam-5408	48	17	w	w	X
ejpam-5408	48	18	)	)	PUNCT
ejpam-5408	48	19	=	=	VERB
ejpam-5408	48	20	g(qw)−	g(qw)−	VERB
ejpam-5408	48	21	g	g	NOUN
ejpam-5408	48	22	(	(	PUNCT
ejpam-5408	48	23	q−1w	q−1w	ADV
ejpam-5408	48	24	)	)	PUNCT
ejpam-5408	48	25	(	(	PUNCT
ejpam-5408	48	26	q	q	NOUN
ejpam-5408	48	27	−	−	PROPN
ejpam-5408	48	28	q−1)w	q−1)w	PROPN
ejpam-5408	48	29	=	=	SYM
ejpam-5408	48	30	1−	1−	NUM
ejpam-5408	49	1	[	[	X
ejpam-5408	49	2	̃2]qa2w	̃2]qa2w	NOUN
ejpam-5408	49	3	+	+	CCONJ
ejpam-5408	50	1	[	[	X
ejpam-5408	50	2	̃3]q	̃3]q	VERB
ejpam-5408	50	3	(	(	PUNCT
ejpam-5408	50	4	2a22	2a22	NUM
ejpam-5408	50	5	−	−	PROPN
ejpam-5408	50	6	a3	a3	NOUN
ejpam-5408	50	7	)	)	PUNCT
ejpam-5408	50	8	w2	w2	NOUN
ejpam-5408	50	9	−	−	PROPN
ejpam-5408	51	1	[	[	X
ejpam-5408	51	2	̃4]q	̃4]q	PROPN
ejpam-5408	51	3	(	(	PUNCT
ejpam-5408	51	4	5a32–5a2a3	5a32–5a2a3	NUM
ejpam-5408	51	5	+	+	NUM
ejpam-5408	51	6	a4	a4	NOUN
ejpam-5408	51	7	)	)	PUNCT
ejpam-5408	51	8	w3	w3	NOUN
ejpam-5408	51	9	+	+	CCONJ
ejpam-5408	51	10	·	·	PUNCT
ejpam-5408	51	11	·	·	PUNCT
ejpam-5408	51	12	·	·	PUNCT
ejpam-5408	51	13	(	(	PUNCT
ejpam-5408	51	14	8)	8)	NUM
ejpam-5408	51	15	in	in	ADP
ejpam-5408	51	16	recent	recent	ADJ
ejpam-5408	51	17	times	time	NOUN
ejpam-5408	51	18	,	,	PUNCT
ejpam-5408	51	19	numerous	numerous	ADJ
ejpam-5408	51	20	researchers	researcher	NOUN
ejpam-5408	51	21	have	have	AUX
ejpam-5408	51	22	been	be	AUX
ejpam-5408	51	23	investigating	investigate	VERB
ejpam-5408	51	24	the	the	DET
ejpam-5408	51	25	concept	concept	NOUN
ejpam-5408	51	26	of	of	ADP
ejpam-5408	51	27	bi	bi	ADJ
ejpam-5408	51	28	-	-	ADJ
ejpam-5408	51	29	univalent	univalent	ADJ
ejpam-5408	51	30	functions	function	NOUN
ejpam-5408	51	31	linked	link	VERB
ejpam-5408	51	32	to	to	ADP
ejpam-5408	51	33	gegenbour	gegenbour	ADJ
ejpam-5408	51	34	polynomials	polynomial	NOUN
ejpam-5408	51	35	.	.	PUNCT
ejpam-5408	52	1	some	some	DET
ejpam-5408	52	2	notable	notable	ADJ
ejpam-5408	52	3	studies	study	NOUN
ejpam-5408	52	4	in	in	ADP
ejpam-5408	52	5	this	this	DET
ejpam-5408	52	6	area	area	NOUN
ejpam-5408	52	7	include	include	VERB
ejpam-5408	52	8	references	reference	NOUN
ejpam-5408	52	9	[	[	X
ejpam-5408	52	10	19	19	NUM
ejpam-5408	52	11	]	]	PUNCT
ejpam-5408	52	12	and	and	CCONJ
ejpam-5408	52	13	[	[	X
ejpam-5408	52	14	21	21	NUM
ejpam-5408	52	15	]	]	PUNCT
ejpam-5408	52	16	.	.	PUNCT
ejpam-5408	53	1	in	in	ADP
ejpam-5408	53	2	the	the	DET
ejpam-5408	53	3	present	present	ADJ
ejpam-5408	53	4	work	work	NOUN
ejpam-5408	53	5	,	,	PUNCT
ejpam-5408	53	6	we	we	PRON
ejpam-5408	53	7	propose	propose	VERB
ejpam-5408	53	8	the	the	DET
ejpam-5408	53	9	following	follow	VERB
ejpam-5408	53	10	novel	novel	NOUN
ejpam-5408	53	11	subclasses	subclass	NOUN
ejpam-5408	53	12	.	.	PUNCT
ejpam-5408	54	1	2	2	X
ejpam-5408	54	2	.	.	X
ejpam-5408	54	3	the	the	DET
ejpam-5408	54	4	class	class	NOUN
ejpam-5408	54	5	bα	bα	PROPN
ejpam-5408	54	6	σ(t	σ(t	PROPN
ejpam-5408	54	7	,	,	PUNCT
ejpam-5408	54	8	γ	γ	X
ejpam-5408	54	9	,	,	PUNCT
ejpam-5408	54	10	ν	ν	PROPN
ejpam-5408	54	11	,	,	PUNCT
ejpam-5408	54	12	ϵ	ϵ	NOUN
ejpam-5408	54	13	)	)	PUNCT
ejpam-5408	54	14	definition	definition	NOUN
ejpam-5408	54	15	3	3	NUM
ejpam-5408	54	16	.	.	PUNCT
ejpam-5408	55	1	(	(	PUNCT
ejpam-5408	55	2	[	[	X
ejpam-5408	55	3	32	32	NUM
ejpam-5408	55	4	]	]	PUNCT
ejpam-5408	55	5	)	)	PUNCT
ejpam-5408	55	6	for	for	ADP
ejpam-5408	55	7	γ	γ	X
ejpam-5408	55	8	≥	≥	NUM
ejpam-5408	55	9	1	1	NUM
ejpam-5408	55	10	,	,	PUNCT
ejpam-5408	55	11	ν	ν	PROPN
ejpam-5408	55	12	,	,	PUNCT
ejpam-5408	55	13	ϵ	ϵ	PRON
ejpam-5408	55	14	≥	≥	NOUN
ejpam-5408	55	15	0	0	NUM
ejpam-5408	55	16	,	,	PUNCT
ejpam-5408	55	17	0	0	NUM
ejpam-5408	55	18	≤	≤	NUM
ejpam-5408	55	19	α	α	NOUN
ejpam-5408	55	20	≤	≤	NUM
ejpam-5408	55	21	1	1	NUM
ejpam-5408	55	22	,	,	PUNCT
ejpam-5408	55	23	ζ	ζ	NOUN
ejpam-5408	55	24	=	=	SYM
ejpam-5408	55	25	2γ+ν	2γ+ν	NUM
ejpam-5408	55	26	2γ+1	2γ+1	NUM
ejpam-5408	55	27	and	and	CCONJ
ejpam-5408	55	28	t	t	NOUN
ejpam-5408	55	29	∈	∈	PROPN
ejpam-5408	55	30	(	(	PUNCT
ejpam-5408	55	31	1/2	1/2	NUM
ejpam-5408	55	32	,	,	PUNCT
ejpam-5408	55	33	1	1	NUM
ejpam-5408	55	34	]	]	PUNCT
ejpam-5408	55	35	,	,	PUNCT
ejpam-5408	55	36	a	a	DET
ejpam-5408	55	37	function	function	NOUN
ejpam-5408	55	38	f	f	PROPN
ejpam-5408	55	39	∈	∈	PROPN
ejpam-5408	55	40	σ	σ	PROPN
ejpam-5408	55	41	given	give	VERB
ejpam-5408	55	42	by	by	ADP
ejpam-5408	55	43	(	(	PUNCT
ejpam-5408	55	44	1	1	NUM
ejpam-5408	55	45	)	)	PUNCT
ejpam-5408	55	46	is	be	AUX
ejpam-5408	55	47	in	in	ADP
ejpam-5408	55	48	mα	mα	PROPN
ejpam-5408	55	49	σ(γ	σ(γ	PROPN
ejpam-5408	55	50	,	,	PUNCT
ejpam-5408	55	51	ν	ν	NOUN
ejpam-5408	55	52	,	,	PUNCT
ejpam-5408	55	53	ϵ	ϵ	NOUN
ejpam-5408	55	54	)	)	PUNCT
ejpam-5408	55	55	if	if	SCONJ
ejpam-5408	55	56	for	for	ADP
ejpam-5408	55	57	all	all	DET
ejpam-5408	55	58	z	z	NOUN
ejpam-5408	55	59	,	,	PUNCT
ejpam-5408	55	60	w	w	PROPN
ejpam-5408	55	61	∈	∈	PROPN
ejpam-5408	56	1	d	d	X
ejpam-5408	56	2	,	,	PUNCT
ejpam-5408	56	3	it	it	PRON
ejpam-5408	56	4	satisfies	satisfy	VERB
ejpam-5408	56	5	the	the	DET
ejpam-5408	56	6	following	follow	VERB
ejpam-5408	56	7	subordination	subordination	NOUN
ejpam-5408	56	8	:	:	PUNCT
ejpam-5408	56	9	re	re	X
ejpam-5408	56	10	(	(	PUNCT
ejpam-5408	56	11	(	(	PUNCT
ejpam-5408	56	12	1−	1−	NUM
ejpam-5408	56	13	γ	γ	NOUN
ejpam-5408	56	14	)	)	PUNCT
ejpam-5408	56	15	(	(	PUNCT
ejpam-5408	56	16	f(z	f(z	PROPN
ejpam-5408	56	17	)	)	PUNCT
ejpam-5408	56	18	z	z	NOUN
ejpam-5408	56	19	)	)	PUNCT
ejpam-5408	57	1	ν	ν	X
ejpam-5408	57	2	+	+	CCONJ
ejpam-5408	57	3	γf	γf	ADJ
ejpam-5408	57	4	′(z	′(z	NOUN
ejpam-5408	57	5	)	)	PUNCT
ejpam-5408	57	6	(	(	PUNCT
ejpam-5408	57	7	f(z	f(z	PROPN
ejpam-5408	57	8	)	)	PUNCT
ejpam-5408	57	9	z	z	NOUN
ejpam-5408	57	10	)	)	PUNCT
ejpam-5408	58	1	ν−1	ν−1	NOUN
ejpam-5408	59	1	+	+	CCONJ
ejpam-5408	59	2	ζϵzf	ζϵzf	NOUN
ejpam-5408	59	3	′′(z	′′(z	NOUN
ejpam-5408	59	4	)	)	PUNCT
ejpam-5408	59	5	)	)	PUNCT
ejpam-5408	59	6	>	>	X
ejpam-5408	60	1	α	α	PROPN
ejpam-5408	60	2	(	(	PUNCT
ejpam-5408	60	3	9	9	NUM
ejpam-5408	60	4	)	)	PUNCT
ejpam-5408	60	5	m.	m.	NOUN
ejpam-5408	60	6	illafe	illafe	NOUN
ejpam-5408	60	7	et	et	PROPN
ejpam-5408	60	8	al	al	PROPN
ejpam-5408	60	9	.	.	PUNCT
ejpam-5408	60	10	/	/	SYM
ejpam-5408	60	11	eur	eur	PROPN
ejpam-5408	60	12	.	.	PUNCT
ejpam-5408	61	1	j.	j.	PROPN
ejpam-5408	61	2	pure	pure	PROPN
ejpam-5408	61	3	appl	appl	PROPN
ejpam-5408	61	4	.	.	PROPN
ejpam-5408	61	5	math	math	PROPN
ejpam-5408	61	6	,	,	PUNCT
ejpam-5408	61	7	17	17	NUM
ejpam-5408	61	8	(	(	PUNCT
ejpam-5408	61	9	4	4	NUM
ejpam-5408	61	10	)	)	PUNCT
ejpam-5408	61	11	(	(	PUNCT
ejpam-5408	61	12	2024	2024	NUM
ejpam-5408	61	13	)	)	PUNCT
ejpam-5408	61	14	,	,	PUNCT
ejpam-5408	61	15	2467	2467	NUM
ejpam-5408	61	16	-	-	SYM
ejpam-5408	61	17	2480	2480	NUM
ejpam-5408	61	18	2470	2470	NUM
ejpam-5408	61	19	and	and	CCONJ
ejpam-5408	61	20	re	re	ADP
ejpam-5408	61	21	(	(	PUNCT
ejpam-5408	61	22	(	(	PUNCT
ejpam-5408	61	23	1−	1−	NUM
ejpam-5408	61	24	γ	γ	NOUN
ejpam-5408	61	25	)	)	PUNCT
ejpam-5408	61	26	(	(	PUNCT
ejpam-5408	61	27	g(w	g(w	PROPN
ejpam-5408	61	28	)	)	PUNCT
ejpam-5408	61	29	w	w	NOUN
ejpam-5408	61	30	)	)	PUNCT
ejpam-5408	61	31	ν	ν	X
ejpam-5408	61	32	+	+	CCONJ
ejpam-5408	61	33	γg′(w	γg′(w	NOUN
ejpam-5408	61	34	)	)	PUNCT
ejpam-5408	61	35	(	(	PUNCT
ejpam-5408	61	36	g(w	g(w	X
ejpam-5408	61	37	)	)	PUNCT
ejpam-5408	61	38	w	w	NOUN
ejpam-5408	61	39	)	)	PUNCT
ejpam-5408	61	40	ν−1	ν−1	PROPN
ejpam-5408	61	41	+	+	CCONJ
ejpam-5408	61	42	ζϵzg′′(w	ζϵzg′′(w	NOUN
ejpam-5408	61	43	)	)	PUNCT
ejpam-5408	61	44	)	)	PUNCT
ejpam-5408	61	45	>	>	X
ejpam-5408	62	1	α	α	PROPN
ejpam-5408	62	2	(	(	PUNCT
ejpam-5408	62	3	10	10	NUM
ejpam-5408	62	4	)	)	PUNCT
ejpam-5408	62	5	where	where	SCONJ
ejpam-5408	62	6	f	f	PROPN
ejpam-5408	62	7	∈	∈	PROPN
ejpam-5408	62	8	σ	σ	NOUN
ejpam-5408	62	9	defined	define	VERB
ejpam-5408	62	10	by	by	ADP
ejpam-5408	62	11	(	(	PUNCT
ejpam-5408	62	12	1	1	NUM
ejpam-5408	62	13	)	)	PUNCT
ejpam-5408	62	14	,	,	PUNCT
ejpam-5408	62	15	and	and	CCONJ
ejpam-5408	62	16	g	g	PROPN
ejpam-5408	62	17	=	=	SYM
ejpam-5408	62	18	f−1	f−1	PROPN
ejpam-5408	62	19	given	give	VERB
ejpam-5408	62	20	by	by	ADP
ejpam-5408	62	21	(	(	PUNCT
ejpam-5408	62	22	2	2	NUM
ejpam-5408	62	23	)	)	PUNCT
ejpam-5408	62	24	.	.	PUNCT
ejpam-5408	63	1	definition	definition	NOUN
ejpam-5408	63	2	4	4	NUM
ejpam-5408	63	3	.	.	PUNCT
ejpam-5408	64	1	let	let	VERB
ejpam-5408	64	2	α	α	PRON
ejpam-5408	64	3	>	>	X
ejpam-5408	64	4	0	0	PROPN
ejpam-5408	64	5	,	,	PUNCT
ejpam-5408	64	6	γ	γ	X
ejpam-5408	64	7	≥	≥	PROPN
ejpam-5408	64	8	1	1	NUM
ejpam-5408	64	9	,	,	PUNCT
ejpam-5408	64	10	ν	ν	X
ejpam-5408	64	11	≥	≥	NOUN
ejpam-5408	64	12	0	0	NUM
ejpam-5408	64	13	,	,	PUNCT
ejpam-5408	64	14	ϵ	ϵ	PRON
ejpam-5408	64	15	≥	≥	NOUN
ejpam-5408	64	16	0	0	NUM
ejpam-5408	64	17	,	,	PUNCT
ejpam-5408	64	18	ζ	ζ	NOUN
ejpam-5408	64	19	=	=	SYM
ejpam-5408	64	20	2γ+ν	2γ+ν	NUM
ejpam-5408	64	21	2γ+1	2γ+1	NUM
ejpam-5408	64	22	,	,	PUNCT
ejpam-5408	64	23	t	t	PROPN
ejpam-5408	64	24	∈	∈	PROPN
ejpam-5408	64	25	(	(	PUNCT
ejpam-5408	64	26	1/2	1/2	NUM
ejpam-5408	64	27	,	,	PUNCT
ejpam-5408	64	28	1	1	NUM
ejpam-5408	64	29	]	]	PUNCT
ejpam-5408	64	30	,	,	PUNCT
ejpam-5408	64	31	and	and	CCONJ
ejpam-5408	64	32	f	f	PROPN
ejpam-5408	64	33	∈	∈	PROPN
ejpam-5408	64	34	σ	σ	PROPN
ejpam-5408	64	35	that	that	PRON
ejpam-5408	64	36	is	be	AUX
ejpam-5408	64	37	given	give	VERB
ejpam-5408	64	38	by	by	ADP
ejpam-5408	64	39	(	(	PUNCT
ejpam-5408	64	40	4	4	NUM
ejpam-5408	64	41	)	)	PUNCT
ejpam-5408	64	42	is	be	AUX
ejpam-5408	64	43	in	in	ADP
ejpam-5408	64	44	b̃q	b̃q	ADJ
ejpam-5408	64	45	σ(t	σ(t	PROPN
ejpam-5408	64	46	,	,	PUNCT
ejpam-5408	64	47	γ	γ	X
ejpam-5408	64	48	,	,	PUNCT
ejpam-5408	64	49	ν	ν	PROPN
ejpam-5408	64	50	,	,	PUNCT
ejpam-5408	64	51	ϵ	ϵ	NOUN
ejpam-5408	64	52	)	)	PUNCT
ejpam-5408	64	53	if	if	SCONJ
ejpam-5408	64	54	for	for	ADP
ejpam-5408	64	55	all	all	DET
ejpam-5408	64	56	z	z	NOUN
ejpam-5408	64	57	,	,	PUNCT
ejpam-5408	64	58	w	w	PROPN
ejpam-5408	64	59	∈	∈	PROPN
ejpam-5408	65	1	d	d	X
ejpam-5408	65	2	,	,	PUNCT
ejpam-5408	65	3	it	it	PRON
ejpam-5408	65	4	satisfies	satisfy	VERB
ejpam-5408	65	5	the	the	DET
ejpam-5408	65	6	following	follow	VERB
ejpam-5408	65	7	subordination	subordination	NOUN
ejpam-5408	65	8	(	(	PUNCT
ejpam-5408	65	9	1−	1−	NUM
ejpam-5408	65	10	γ	γ	X
ejpam-5408	65	11	)	)	PUNCT
ejpam-5408	65	12	(	(	PUNCT
ejpam-5408	65	13	f(z	f(z	PROPN
ejpam-5408	65	14	)	)	PUNCT
ejpam-5408	65	15	z	z	NOUN
ejpam-5408	65	16	)	)	PUNCT
ejpam-5408	65	17	ν	ν	NOUN
ejpam-5408	65	18	+	+	X
ejpam-5408	65	19	γd̃q	γd̃q	PROPN
ejpam-5408	65	20	(	(	PUNCT
ejpam-5408	65	21	f(z	f(z	PROPN
ejpam-5408	65	22	)	)	PUNCT
ejpam-5408	65	23	)	)	PUNCT
ejpam-5408	65	24	(	(	PUNCT
ejpam-5408	65	25	f(z	f(z	PROPN
ejpam-5408	65	26	)	)	PUNCT
ejpam-5408	65	27	z	z	NOUN
ejpam-5408	65	28	)	)	PUNCT
ejpam-5408	66	1	ν−1	ν−1	NOUN
ejpam-5408	67	1	+	+	PUNCT
ejpam-5408	67	2	ζϵzd̃q	ζϵzd̃q	NOUN
ejpam-5408	67	3	(	(	PUNCT
ejpam-5408	67	4	d̃q	d̃q	X
ejpam-5408	67	5	(	(	PUNCT
ejpam-5408	67	6	f(z	f(z	PROPN
ejpam-5408	67	7	)	)	PUNCT
ejpam-5408	67	8	)	)	PUNCT
ejpam-5408	67	9	)	)	PUNCT
ejpam-5408	67	10	≺	≺	NOUN
ejpam-5408	67	11	hα(t	hα(t	NOUN
ejpam-5408	67	12	,	,	PUNCT
ejpam-5408	67	13	z	z	NOUN
ejpam-5408	67	14	)	)	PUNCT
ejpam-5408	67	15	(	(	PUNCT
ejpam-5408	67	16	11	11	NUM
ejpam-5408	67	17	)	)	PUNCT
ejpam-5408	67	18	and	and	CCONJ
ejpam-5408	67	19	(	(	PUNCT
ejpam-5408	67	20	1−	1−	NUM
ejpam-5408	67	21	γ	γ	X
ejpam-5408	67	22	)	)	PUNCT
ejpam-5408	67	23	(	(	PUNCT
ejpam-5408	67	24	g(w	g(w	PROPN
ejpam-5408	67	25	)	)	PUNCT
ejpam-5408	67	26	w	w	NOUN
ejpam-5408	67	27	)	)	PUNCT
ejpam-5408	67	28	ν	ν	X
ejpam-5408	67	29	+	+	X
ejpam-5408	67	30	γd̃q	γd̃q	PROPN
ejpam-5408	67	31	(	(	PUNCT
ejpam-5408	67	32	g(w	g(w	PROPN
ejpam-5408	67	33	)	)	PUNCT
ejpam-5408	67	34	)	)	PUNCT
ejpam-5408	67	35	(	(	PUNCT
ejpam-5408	67	36	g(w	g(w	X
ejpam-5408	67	37	)	)	PUNCT
ejpam-5408	67	38	w	w	NOUN
ejpam-5408	67	39	)	)	PUNCT
ejpam-5408	67	40	ν−1	ν−1	NOUN
ejpam-5408	68	1	+	+	PUNCT
ejpam-5408	68	2	ζϵzd̃q	ζϵzd̃q	NOUN
ejpam-5408	68	3	(	(	PUNCT
ejpam-5408	68	4	d̃q	d̃q	X
ejpam-5408	68	5	(	(	PUNCT
ejpam-5408	68	6	g(w	g(w	PROPN
ejpam-5408	68	7	)	)	PUNCT
ejpam-5408	68	8	)	)	PUNCT
ejpam-5408	68	9	)	)	PUNCT
ejpam-5408	68	10	≺	≺	NOUN
ejpam-5408	68	11	hα(t	hα(t	NOUN
ejpam-5408	68	12	,	,	PUNCT
ejpam-5408	68	13	w	w	NOUN
ejpam-5408	68	14	)	)	PUNCT
ejpam-5408	68	15	,	,	PUNCT
ejpam-5408	68	16	(	(	PUNCT
ejpam-5408	68	17	12	12	NUM
ejpam-5408	68	18	)	)	PUNCT
ejpam-5408	68	19	where	where	SCONJ
ejpam-5408	68	20	g	g	NOUN
ejpam-5408	68	21	=	=	SYM
ejpam-5408	68	22	f−1(w	f−1(w	PROPN
ejpam-5408	68	23	)	)	PUNCT
ejpam-5408	68	24	is	be	AUX
ejpam-5408	68	25	given	give	VERB
ejpam-5408	68	26	by	by	ADP
ejpam-5408	68	27	(	(	PUNCT
ejpam-5408	68	28	2	2	NUM
ejpam-5408	68	29	)	)	PUNCT
ejpam-5408	68	30	.	.	PUNCT
ejpam-5408	69	1	given	give	VERB
ejpam-5408	69	2	by	by	ADP
ejpam-5408	69	3	(	(	PUNCT
ejpam-5408	69	4	4	4	NUM
ejpam-5408	69	5	)	)	PUNCT
ejpam-5408	69	6	.	.	PUNCT
ejpam-5408	70	1	definition	definition	NOUN
ejpam-5408	70	2	5	5	NUM
ejpam-5408	70	3	.	.	PUNCT
ejpam-5408	71	1	the	the	DET
ejpam-5408	71	2	function	function	NOUN
ejpam-5408	71	3	f	f	PROPN
ejpam-5408	71	4	∈	∈	PROPN
ejpam-5408	71	5	1b̃q	1b̃q	NUM
ejpam-5408	71	6	σ(t	σ(t	NOUN
ejpam-5408	71	7	,	,	PUNCT
ejpam-5408	71	8	γ	γ	X
ejpam-5408	71	9	,	,	PUNCT
ejpam-5408	71	10	ν	ν	NOUN
ejpam-5408	71	11	)	)	PUNCT
ejpam-5408	71	12	:	:	PUNCT
ejpam-5408	71	13	=	=	SYM
ejpam-5408	71	14	b̃q	b̃q	X
ejpam-5408	71	15	σ(t	σ(t	PROPN
ejpam-5408	71	16	,	,	PUNCT
ejpam-5408	71	17	γ	γ	X
ejpam-5408	71	18	,	,	PUNCT
ejpam-5408	71	19	ν	ν	PROPN
ejpam-5408	71	20	,	,	PUNCT
ejpam-5408	71	21	0	0	NUM
ejpam-5408	71	22	)	)	PUNCT
ejpam-5408	71	23	iff	iff	NOUN
ejpam-5408	71	24	it	it	PRON
ejpam-5408	71	25	satisfies	satisfy	VERB
ejpam-5408	71	26	the	the	DET
ejpam-5408	71	27	following	follow	VERB
ejpam-5408	71	28	subordination	subordination	NOUN
ejpam-5408	71	29	(	(	PUNCT
ejpam-5408	71	30	1−	1−	NUM
ejpam-5408	71	31	γ	γ	X
ejpam-5408	71	32	)	)	PUNCT
ejpam-5408	71	33	(	(	PUNCT
ejpam-5408	71	34	f(z	f(z	PROPN
ejpam-5408	71	35	)	)	PUNCT
ejpam-5408	71	36	z	z	NOUN
ejpam-5408	71	37	)	)	PUNCT
ejpam-5408	71	38	ν	ν	NOUN
ejpam-5408	71	39	+	+	X
ejpam-5408	71	40	γd̃q	γd̃q	PROPN
ejpam-5408	71	41	(	(	PUNCT
ejpam-5408	71	42	f(z	f(z	PROPN
ejpam-5408	71	43	)	)	PUNCT
ejpam-5408	71	44	)	)	PUNCT
ejpam-5408	71	45	(	(	PUNCT
ejpam-5408	71	46	f(z	f(z	PROPN
ejpam-5408	71	47	)	)	PUNCT
ejpam-5408	71	48	z	z	NOUN
ejpam-5408	71	49	)	)	PUNCT
ejpam-5408	71	50	ν−1	ν−1	ADJ
ejpam-5408	71	51	≺	≺	NOUN
ejpam-5408	71	52	hα(t	hα(t	NOUN
ejpam-5408	71	53	,	,	PUNCT
ejpam-5408	71	54	z	z	NOUN
ejpam-5408	71	55	)	)	PUNCT
ejpam-5408	71	56	and	and	CCONJ
ejpam-5408	71	57	(	(	PUNCT
ejpam-5408	71	58	1−	1−	NUM
ejpam-5408	71	59	γ	γ	X
ejpam-5408	71	60	)	)	PUNCT
ejpam-5408	71	61	(	(	PUNCT
ejpam-5408	71	62	g(w	g(w	PROPN
ejpam-5408	71	63	)	)	PUNCT
ejpam-5408	71	64	w	w	NOUN
ejpam-5408	71	65	)	)	PUNCT
ejpam-5408	71	66	ν	ν	X
ejpam-5408	71	67	+	+	X
ejpam-5408	71	68	γd̃q	γd̃q	PROPN
ejpam-5408	71	69	(	(	PUNCT
ejpam-5408	71	70	g(w	g(w	PROPN
ejpam-5408	71	71	)	)	PUNCT
ejpam-5408	71	72	)	)	PUNCT
ejpam-5408	71	73	(	(	PUNCT
ejpam-5408	71	74	g(w	g(w	X
ejpam-5408	71	75	)	)	PUNCT
ejpam-5408	71	76	w	w	NOUN
ejpam-5408	71	77	)	)	PUNCT
ejpam-5408	71	78	ν−1	ν−1	ADJ
ejpam-5408	71	79	≺	≺	NOUN
ejpam-5408	71	80	hα(t	hα(t	NOUN
ejpam-5408	71	81	,	,	PUNCT
ejpam-5408	71	82	w	w	NOUN
ejpam-5408	71	83	)	)	PUNCT
ejpam-5408	71	84	.	.	PUNCT
ejpam-5408	72	1	definition	definition	NOUN
ejpam-5408	72	2	6	6	NUM
ejpam-5408	72	3	.	.	PUNCT
ejpam-5408	73	1	the	the	DET
ejpam-5408	73	2	function	function	NOUN
ejpam-5408	73	3	f	f	PROPN
ejpam-5408	73	4	∈	∈	PROPN
ejpam-5408	73	5	2b̃q	2b̃q	NUM
ejpam-5408	73	6	σ(t	σ(t	NOUN
ejpam-5408	73	7	,	,	PUNCT
ejpam-5408	73	8	γ	γ	X
ejpam-5408	73	9	,	,	PUNCT
ejpam-5408	73	10	ϵ	ϵ	NOUN
ejpam-5408	73	11	)	)	PUNCT
ejpam-5408	73	12	:	:	PUNCT
ejpam-5408	73	13	=	=	SYM
ejpam-5408	73	14	b̃q	b̃q	X
ejpam-5408	73	15	σ(t	σ(t	PROPN
ejpam-5408	73	16	,	,	PUNCT
ejpam-5408	73	17	γ	γ	X
ejpam-5408	73	18	,	,	PUNCT
ejpam-5408	73	19	1	1	NUM
ejpam-5408	73	20	,	,	PUNCT
ejpam-5408	73	21	ϵ	ϵ	X
ejpam-5408	73	22	)	)	PUNCT
ejpam-5408	73	23	iff	iff	NOUN
ejpam-5408	73	24	it	it	PRON
ejpam-5408	73	25	satisfies	satisfy	VERB
ejpam-5408	73	26	the	the	DET
ejpam-5408	73	27	following	follow	VERB
ejpam-5408	73	28	subordination	subordination	NOUN
ejpam-5408	73	29	(	(	PUNCT
ejpam-5408	73	30	1−	1−	NUM
ejpam-5408	73	31	γ	γ	X
ejpam-5408	73	32	)	)	PUNCT
ejpam-5408	73	33	(	(	PUNCT
ejpam-5408	73	34	f(z	f(z	PROPN
ejpam-5408	73	35	)	)	PUNCT
ejpam-5408	73	36	z	z	NOUN
ejpam-5408	73	37	)	)	PUNCT
ejpam-5408	74	1	+	+	CCONJ
ejpam-5408	74	2	γd̃q	γd̃q	X
ejpam-5408	74	3	(	(	PUNCT
ejpam-5408	74	4	f(z	f(z	PROPN
ejpam-5408	74	5	)	)	PUNCT
ejpam-5408	74	6	)	)	PUNCT
ejpam-5408	75	1	+	+	CCONJ
ejpam-5408	75	2	ζϵzd̃q	ζϵzd̃q	SYM
ejpam-5408	75	3	(	(	PUNCT
ejpam-5408	75	4	d̃q	d̃q	X
ejpam-5408	75	5	(	(	PUNCT
ejpam-5408	75	6	f(z	f(z	PROPN
ejpam-5408	75	7	)	)	PUNCT
ejpam-5408	75	8	)	)	PUNCT
ejpam-5408	75	9	)	)	PUNCT
ejpam-5408	75	10	≺	≺	NOUN
ejpam-5408	75	11	hα(t	hα(t	NOUN
ejpam-5408	75	12	,	,	PUNCT
ejpam-5408	75	13	z	z	NOUN
ejpam-5408	75	14	)	)	PUNCT
ejpam-5408	75	15	and	and	CCONJ
ejpam-5408	75	16	(	(	PUNCT
ejpam-5408	75	17	1−	1−	NUM
ejpam-5408	75	18	γ	γ	X
ejpam-5408	75	19	)	)	PUNCT
ejpam-5408	75	20	(	(	PUNCT
ejpam-5408	75	21	g(w	g(w	PROPN
ejpam-5408	75	22	)	)	PUNCT
ejpam-5408	75	23	w	w	NOUN
ejpam-5408	75	24	)	)	PUNCT
ejpam-5408	76	1	+	+	CCONJ
ejpam-5408	76	2	γd̃q	γd̃q	X
ejpam-5408	76	3	(	(	PUNCT
ejpam-5408	76	4	g(w	g(w	PROPN
ejpam-5408	76	5	)	)	PUNCT
ejpam-5408	76	6	)	)	PUNCT
ejpam-5408	77	1	+	+	CCONJ
ejpam-5408	77	2	ζϵzd̃q	ζϵzd̃q	SYM
ejpam-5408	77	3	(	(	PUNCT
ejpam-5408	77	4	d̃q	d̃q	X
ejpam-5408	77	5	(	(	PUNCT
ejpam-5408	77	6	g(w	g(w	PROPN
ejpam-5408	77	7	)	)	PUNCT
ejpam-5408	77	8	)	)	PUNCT
ejpam-5408	77	9	)	)	PUNCT
ejpam-5408	77	10	≺	≺	NOUN
ejpam-5408	77	11	hα(t	hα(t	NOUN
ejpam-5408	77	12	,	,	PUNCT
ejpam-5408	77	13	w	w	NOUN
ejpam-5408	77	14	)	)	PUNCT
ejpam-5408	77	15	.	.	PUNCT
ejpam-5408	78	1	definition	definition	NOUN
ejpam-5408	78	2	7	7	NUM
ejpam-5408	78	3	.	.	PUNCT
ejpam-5408	79	1	the	the	DET
ejpam-5408	79	2	function	function	NOUN
ejpam-5408	79	3	f	f	PROPN
ejpam-5408	79	4	∈	∈	PROPN
ejpam-5408	79	5	3b̃q	3b̃q	CCONJ
ejpam-5408	79	6	σ(t	σ(t	PROPN
ejpam-5408	79	7	,	,	PUNCT
ejpam-5408	79	8	γ	γ	NOUN
ejpam-5408	79	9	)	)	PUNCT
ejpam-5408	79	10	:	:	PUNCT
ejpam-5408	79	11	=	=	SYM
ejpam-5408	79	12	b̃q	b̃q	X
ejpam-5408	79	13	σ(t	σ(t	PROPN
ejpam-5408	79	14	,	,	PUNCT
ejpam-5408	79	15	γ	γ	X
ejpam-5408	79	16	,	,	PUNCT
ejpam-5408	79	17	1	1	NUM
ejpam-5408	79	18	,	,	PUNCT
ejpam-5408	79	19	0	0	NUM
ejpam-5408	79	20	)	)	PUNCT
ejpam-5408	79	21	iff	iff	NOUN
ejpam-5408	79	22	it	it	PRON
ejpam-5408	79	23	satisfies	satisfy	VERB
ejpam-5408	79	24	the	the	DET
ejpam-5408	79	25	following	follow	VERB
ejpam-5408	79	26	subordination	subordination	NOUN
ejpam-5408	79	27	:	:	PUNCT
ejpam-5408	79	28	(	(	PUNCT
ejpam-5408	79	29	1−	1−	NUM
ejpam-5408	79	30	γ	γ	X
ejpam-5408	79	31	)	)	PUNCT
ejpam-5408	79	32	(	(	PUNCT
ejpam-5408	79	33	f(z	f(z	PROPN
ejpam-5408	79	34	)	)	PUNCT
ejpam-5408	79	35	z	z	NOUN
ejpam-5408	79	36	)	)	PUNCT
ejpam-5408	80	1	+	+	CCONJ
ejpam-5408	80	2	γd̃q	γd̃q	X
ejpam-5408	80	3	(	(	PUNCT
ejpam-5408	80	4	f(z	f(z	PROPN
ejpam-5408	80	5	)	)	PUNCT
ejpam-5408	80	6	)	)	PUNCT
ejpam-5408	80	7	≺	≺	NOUN
ejpam-5408	80	8	hα(t	hα(t	NOUN
ejpam-5408	80	9	,	,	PUNCT
ejpam-5408	80	10	z	z	NOUN
ejpam-5408	80	11	)	)	PUNCT
ejpam-5408	80	12	and	and	CCONJ
ejpam-5408	80	13	(	(	PUNCT
ejpam-5408	80	14	1−	1−	NUM
ejpam-5408	80	15	γ	γ	X
ejpam-5408	80	16	)	)	PUNCT
ejpam-5408	80	17	(	(	PUNCT
ejpam-5408	80	18	g(w	g(w	PROPN
ejpam-5408	80	19	)	)	PUNCT
ejpam-5408	80	20	w	w	NOUN
ejpam-5408	80	21	)	)	PUNCT
ejpam-5408	81	1	+	+	CCONJ
ejpam-5408	81	2	γd̃q	γd̃q	X
ejpam-5408	81	3	(	(	PUNCT
ejpam-5408	81	4	g(w	g(w	PROPN
ejpam-5408	81	5	)	)	PUNCT
ejpam-5408	81	6	)	)	PUNCT
ejpam-5408	81	7	≺	≺	NOUN
ejpam-5408	81	8	hα(t	hα(t	NOUN
ejpam-5408	81	9	,	,	PUNCT
ejpam-5408	81	10	w	w	NOUN
ejpam-5408	81	11	)	)	PUNCT
ejpam-5408	81	12	.	.	PUNCT
ejpam-5408	82	1	m.	m.	NOUN
ejpam-5408	82	2	illafe	illafe	ADJ
ejpam-5408	82	3	et	et	PROPN
ejpam-5408	82	4	al	al	PROPN
ejpam-5408	82	5	.	.	PUNCT
ejpam-5408	82	6	/	/	SYM
ejpam-5408	82	7	eur	eur	PROPN
ejpam-5408	82	8	.	.	PUNCT
ejpam-5408	83	1	j.	j.	PROPN
ejpam-5408	83	2	pure	pure	PROPN
ejpam-5408	83	3	appl	appl	PROPN
ejpam-5408	83	4	.	.	PROPN
ejpam-5408	83	5	math	math	PROPN
ejpam-5408	83	6	,	,	PUNCT
ejpam-5408	83	7	17	17	NUM
ejpam-5408	83	8	(	(	PUNCT
ejpam-5408	83	9	4	4	NUM
ejpam-5408	83	10	)	)	PUNCT
ejpam-5408	83	11	(	(	PUNCT
ejpam-5408	83	12	2024	2024	NUM
ejpam-5408	83	13	)	)	PUNCT
ejpam-5408	83	14	,	,	PUNCT
ejpam-5408	83	15	2467	2467	NUM
ejpam-5408	83	16	-	-	SYM
ejpam-5408	83	17	2480	2480	NUM
ejpam-5408	83	18	2471	2471	NUM
ejpam-5408	83	19	definition	definition	NOUN
ejpam-5408	83	20	8	8	NUM
ejpam-5408	83	21	.	.	PUNCT
ejpam-5408	84	1	the	the	DET
ejpam-5408	84	2	function	function	NOUN
ejpam-5408	84	3	f	f	PROPN
ejpam-5408	84	4	∈	∈	PROPN
ejpam-5408	84	5	4b̃q	4b̃q	NUM
ejpam-5408	84	6	σ(t	σ(t	NOUN
ejpam-5408	84	7	)	)	PUNCT
ejpam-5408	84	8	:	:	PUNCT
ejpam-5408	84	9	=	=	SYM
ejpam-5408	84	10	b̃q	b̃q	X
ejpam-5408	84	11	σ(t	σ(t	PROPN
ejpam-5408	84	12	,	,	PUNCT
ejpam-5408	84	13	1	1	NUM
ejpam-5408	84	14	,	,	PUNCT
ejpam-5408	84	15	1	1	NUM
ejpam-5408	84	16	,	,	PUNCT
ejpam-5408	84	17	0	0	NUM
ejpam-5408	84	18	)	)	PUNCT
ejpam-5408	84	19	iff	iff	NOUN
ejpam-5408	84	20	it	it	PRON
ejpam-5408	84	21	satisfies	satisfy	VERB
ejpam-5408	84	22	the	the	DET
ejpam-5408	84	23	following	follow	VERB
ejpam-5408	84	24	subordination	subordination	NOUN
ejpam-5408	84	25	:	:	PUNCT
ejpam-5408	84	26	d̃q	d̃q	PROPN
ejpam-5408	84	27	(	(	PUNCT
ejpam-5408	84	28	f(z	f(z	PROPN
ejpam-5408	84	29	)	)	PUNCT
ejpam-5408	84	30	)	)	PUNCT
ejpam-5408	84	31	≺	≺	NOUN
ejpam-5408	84	32	hα(t	hα(t	NOUN
ejpam-5408	84	33	,	,	PUNCT
ejpam-5408	84	34	z	z	NOUN
ejpam-5408	84	35	)	)	PUNCT
ejpam-5408	84	36	and	and	CCONJ
ejpam-5408	84	37	(	(	PUNCT
ejpam-5408	84	38	d̃qg(w	d̃qg(w	ADJ
ejpam-5408	84	39	)	)	PUNCT
ejpam-5408	84	40	)	)	PUNCT
ejpam-5408	84	41	≺	≺	NOUN
ejpam-5408	84	42	hα(t	hα(t	NOUN
ejpam-5408	84	43	,	,	PUNCT
ejpam-5408	84	44	w	w	NOUN
ejpam-5408	84	45	)	)	PUNCT
ejpam-5408	84	46	.	.	PUNCT
ejpam-5408	85	1	let	let	VERB
ejpam-5408	85	2	p	p	NOUN
ejpam-5408	85	3	=	=	PUNCT
ejpam-5408	85	4	{	{	PUNCT
ejpam-5408	85	5	p	p	X
ejpam-5408	85	6	:	:	PUNCT
ejpam-5408	85	7	u	u	NOUN
ejpam-5408	85	8	→	→	SYM
ejpam-5408	85	9	c	c	PROPN
ejpam-5408	85	10	|	|	ADV
ejpam-5408	85	11	p(z	p(z	NOUN
ejpam-5408	85	12	)	)	PUNCT
ejpam-5408	85	13	=	=	SYM
ejpam-5408	86	1	1	1	NUM
ejpam-5408	86	2	+	+	NUM
ejpam-5408	86	3	∞∑	∞∑	NUM
ejpam-5408	86	4	n=1	n=1	PROPN
ejpam-5408	86	5	pn	pn	PROPN
ejpam-5408	86	6	z	z	PROPN
ejpam-5408	86	7	n	n	CCONJ
ejpam-5408	86	8	,	,	PUNCT
ejpam-5408	86	9	is	be	AUX
ejpam-5408	86	10	analytic	analytic	ADJ
ejpam-5408	86	11	function	function	NOUN
ejpam-5408	86	12	,	,	PUNCT
ejpam-5408	86	13	and	and	CCONJ
ejpam-5408	86	14	re(p	re(p	NOUN
ejpam-5408	86	15	)	)	PUNCT
ejpam-5408	86	16	>	>	X
ejpam-5408	86	17	0	0	NUM
ejpam-5408	86	18	}	}	PUNCT
ejpam-5408	86	19	.	.	PUNCT
ejpam-5408	87	1	the	the	DET
ejpam-5408	87	2	following	follow	VERB
ejpam-5408	87	3	lemma	lemma	PROPN
ejpam-5408	87	4	will	will	AUX
ejpam-5408	87	5	be	be	AUX
ejpam-5408	87	6	used	use	VERB
ejpam-5408	87	7	when	when	SCONJ
ejpam-5408	87	8	proofing	proof	VERB
ejpam-5408	87	9	our	our	PRON
ejpam-5408	87	10	main	main	ADJ
ejpam-5408	87	11	results	result	NOUN
ejpam-5408	87	12	.	.	PUNCT
ejpam-5408	88	1	lemma	lemma	PROPN
ejpam-5408	88	2	1	1	NUM
ejpam-5408	88	3	.	.	PUNCT
ejpam-5408	89	1	(	(	PUNCT
ejpam-5408	89	2	[	[	X
ejpam-5408	89	3	11	11	NUM
ejpam-5408	89	4	]	]	SYM
ejpam-5408	89	5	)	)	PUNCT
ejpam-5408	89	6	if	if	SCONJ
ejpam-5408	89	7	p	p	PROPN
ejpam-5408	89	8	∈	∈	PROPN
ejpam-5408	89	9	p	p	X
ejpam-5408	89	10	,	,	PUNCT
ejpam-5408	89	11	then	then	ADV
ejpam-5408	89	12	|pn|	|pn|	ADJ
ejpam-5408	89	13	≤	≤	NUM
ejpam-5408	89	14	2	2	NUM
ejpam-5408	89	15	,	,	PUNCT
ejpam-5408	89	16	n	n	PRON
ejpam-5408	89	17	∈	∈	PROPN
ejpam-5408	89	18	n.	n.	NOUN
ejpam-5408	89	19	(	(	PUNCT
ejpam-5408	89	20	13	13	NUM
ejpam-5408	89	21	)	)	PUNCT
ejpam-5408	89	22	throughout	throughout	ADP
ejpam-5408	89	23	the	the	DET
ejpam-5408	89	24	rest	rest	NOUN
ejpam-5408	89	25	of	of	ADP
ejpam-5408	89	26	the	the	DET
ejpam-5408	89	27	paper	paper	NOUN
ejpam-5408	89	28	,	,	PUNCT
ejpam-5408	89	29	we	we	PRON
ejpam-5408	89	30	assume	assume	VERB
ejpam-5408	89	31	that	that	SCONJ
ejpam-5408	89	32	0	0	PUNCT
ejpam-5408	89	33	<	<	X
ejpam-5408	89	34	q	q	X
ejpam-5408	89	35	<	<	X
ejpam-5408	89	36	1	1	NUM
ejpam-5408	89	37	,	,	PUNCT
ejpam-5408	89	38	x	x	SYM
ejpam-5408	89	39	∈	∈	NOUN
ejpam-5408	89	40	(	(	PUNCT
ejpam-5408	89	41	1	1	NUM
ejpam-5408	89	42	2	2	NUM
ejpam-5408	89	43	,	,	PUNCT
ejpam-5408	89	44	1	1	NUM
ejpam-5408	89	45	]	]	PUNCT
ejpam-5408	89	46	and	and	CCONJ
ejpam-5408	89	47	α	α	PRON
ejpam-5408	89	48	is	be	AUX
ejpam-5408	89	49	a	a	DET
ejpam-5408	89	50	nonzero	nonzero	ADJ
ejpam-5408	89	51	real	real	ADV
ejpam-5408	89	52	constant	constant	ADJ
ejpam-5408	89	53	.	.	PUNCT
ejpam-5408	90	1	3	3	X
ejpam-5408	90	2	.	.	X
ejpam-5408	90	3	main	main	ADJ
ejpam-5408	90	4	results	result	NOUN
ejpam-5408	90	5	theorem	theorem	VERB
ejpam-5408	90	6	1	1	NUM
ejpam-5408	90	7	.	.	PUNCT
ejpam-5408	91	1	let	let	VERB
ejpam-5408	91	2	f	f	PROPN
ejpam-5408	91	3	∈	∈	PROPN
ejpam-5408	91	4	b̃q	b̃q	X
ejpam-5408	92	1	σ(t	σ(t	PROPN
ejpam-5408	92	2	,	,	PUNCT
ejpam-5408	92	3	γ	γ	X
ejpam-5408	92	4	,	,	PUNCT
ejpam-5408	92	5	ν	ν	PROPN
ejpam-5408	92	6	,	,	PUNCT
ejpam-5408	92	7	ϵ	ϵ	NOUN
ejpam-5408	92	8	)	)	PUNCT
ejpam-5408	92	9	.	.	PUNCT
ejpam-5408	93	1	then	then	ADV
ejpam-5408	93	2	|a2|	|a2|	VERB
ejpam-5408	93	3	≤	≤	ADJ
ejpam-5408	93	4	2αx	2αx	NOUN
ejpam-5408	93	5	√	√	ADP
ejpam-5408	93	6	x√√√√√√√	x√√√√√√√	PROPN
ejpam-5408	93	7	∣∣∣∣x2	∣∣∣∣x2	PUNCT
ejpam-5408	94	1	[	[	PUNCT
ejpam-5408	94	2	α(2[̃2]qγ	α(2[̃2]qγ	PROPN
ejpam-5408	94	3	(	(	PUNCT
ejpam-5408	94	4	ν	ν	X
ejpam-5408	94	5	−	−	NOUN
ejpam-5408	94	6	1	1	NUM
ejpam-5408	94	7	)	)	PUNCT
ejpam-5408	94	8	+	+	CCONJ
ejpam-5408	94	9	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	94	10	+	+	CCONJ
ejpam-5408	94	11	ν	ν	NOUN
ejpam-5408	94	12	(	(	PUNCT
ejpam-5408	94	13	ν	ν	X
ejpam-5408	94	14	−	−	NOUN
ejpam-5408	94	15	2γ	2γ	NOUN
ejpam-5408	94	16	+	+	X
ejpam-5408	94	17	1	1	NUM
ejpam-5408	94	18	)	)	PUNCT
ejpam-5408	94	19	+	+	CCONJ
ejpam-5408	94	20	2[̃2]q	2[̃2]q	NUM
ejpam-5408	94	21	[	[	X
ejpam-5408	94	22	̃3]qζϵ	̃3]qζϵ	NOUN
ejpam-5408	94	23	)	)	PUNCT
ejpam-5408	94	24	−	−	PROPN
ejpam-5408	94	25	2	2	NUM
ejpam-5408	94	26	(	(	PUNCT
ejpam-5408	94	27	1	1	NUM
ejpam-5408	94	28	+	+	CCONJ
ejpam-5408	94	29	α)υ	α)υ	ADJ
ejpam-5408	94	30	]	]	PUNCT
ejpam-5408	95	1	+	+	ADJ
ejpam-5408	95	2	(	(	PUNCT
ejpam-5408	95	3	1	1	NUM
ejpam-5408	95	4	+	+	SYM
ejpam-5408	95	5	2x)υ	2x)υ	NUM
ejpam-5408	95	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5408	95	7	and	and	CCONJ
ejpam-5408	95	8	|a3|	|a3|	VERB
ejpam-5408	95	9	≤	≤	ADV
ejpam-5408	95	10	2	2	NUM
ejpam-5408	95	11	[	[	PUNCT
ejpam-5408	95	12	[	[	X
ejpam-5408	95	13	̃3]qγ	̃3]qγ	ADP
ejpam-5408	95	14	−	−	PROPN
ejpam-5408	96	1	[	[	X
ejpam-5408	96	2	̃2]qζϵ	̃2]qζϵ	X
ejpam-5408	96	3	]	]	PUNCT
ejpam-5408	96	4	x2α2	x2α2	PUNCT
ejpam-5408	96	5	υ	υ	NOUN
ejpam-5408	96	6	−	−	PROPN
ejpam-5408	96	7	4αx	4αx	NOUN
ejpam-5408	96	8	[	[	PUNCT
ejpam-5408	96	9	γ	γ	X
ejpam-5408	96	10	(	(	PUNCT
ejpam-5408	96	11	[	[	X
ejpam-5408	96	12	̃3]q	̃3]q	VERB
ejpam-5408	96	13	+	+	NUM
ejpam-5408	96	14	ν	ν	NOUN
ejpam-5408	96	15	−	−	NUM
ejpam-5408	96	16	1	1	NUM
ejpam-5408	96	17	)	)	PUNCT
ejpam-5408	96	18	+	+	CCONJ
ejpam-5408	96	19	(	(	PUNCT
ejpam-5408	96	20	1−	1−	NUM
ejpam-5408	96	21	γ	γ	X
ejpam-5408	96	22	)	)	PUNCT
ejpam-5408	96	23	ν	ν	NOUN
ejpam-5408	96	24	+	+	PUNCT
ejpam-5408	97	1	[	[	X
ejpam-5408	97	2	̃2]q	̃2]q	X
ejpam-5408	97	3	[	[	X
ejpam-5408	97	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	97	5	]	]	PUNCT
ejpam-5408	97	6	,	,	PUNCT
ejpam-5408	97	7	where	where	SCONJ
ejpam-5408	97	8	υ	υ	NOUN
ejpam-5408	97	9	:	:	PUNCT
ejpam-5408	97	10	=	=	SYM
ejpam-5408	97	11	(	(	PUNCT
ejpam-5408	97	12	ν	ν	X
ejpam-5408	97	13	−	−	PROPN
ejpam-5408	97	14	γ	γ	X
ejpam-5408	97	15	+	+	PROPN
ejpam-5408	98	1	[	[	X
ejpam-5408	98	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	98	3	+	+	CCONJ
ejpam-5408	98	4	ζϵ	ζϵ	NOUN
ejpam-5408	98	5	)	)	PUNCT
ejpam-5408	98	6	)	)	PUNCT
ejpam-5408	98	7	2	2	X
ejpam-5408	98	8	.	.	PUNCT
ejpam-5408	99	1	proof	proof	NOUN
ejpam-5408	99	2	.	.	PUNCT
ejpam-5408	100	1	let	let	VERB
ejpam-5408	100	2	f	f	PROPN
ejpam-5408	100	3	∈	∈	PROPN
ejpam-5408	100	4	b̃q	b̃q	X
ejpam-5408	101	1	σ(t	σ(t	PROPN
ejpam-5408	101	2	,	,	PUNCT
ejpam-5408	101	3	γ	γ	X
ejpam-5408	101	4	,	,	PUNCT
ejpam-5408	101	5	ν	ν	PROPN
ejpam-5408	101	6	,	,	PUNCT
ejpam-5408	101	7	ϵ	ϵ	NOUN
ejpam-5408	101	8	)	)	PUNCT
ejpam-5408	101	9	.	.	PUNCT
ejpam-5408	102	1	by	by	ADP
ejpam-5408	102	2	definition	definition	NOUN
ejpam-5408	102	3	4	4	NUM
ejpam-5408	102	4	,	,	PUNCT
ejpam-5408	102	5	there	there	PRON
ejpam-5408	102	6	exist	exist	VERB
ejpam-5408	102	7	u	u	NOUN
ejpam-5408	102	8	,	,	PUNCT
ejpam-5408	102	9	v	v	ADP
ejpam-5408	102	10	such	such	ADJ
ejpam-5408	102	11	that	that	DET
ejpam-5408	102	12	u(0	u(0	NOUN
ejpam-5408	102	13	)	)	PUNCT
ejpam-5408	102	14	=	=	SYM
ejpam-5408	102	15	v(0	v(0	X
ejpam-5408	102	16	)	)	PUNCT
ejpam-5408	102	17	=	=	SYM
ejpam-5408	102	18	0	0	NUM
ejpam-5408	102	19	and	and	CCONJ
ejpam-5408	102	20	|u(z)|	|u(z)|	VERB
ejpam-5408	102	21	<	<	X
ejpam-5408	102	22	1	1	NUM
ejpam-5408	102	23	,	,	PUNCT
ejpam-5408	103	1	|v(w)|	|v(w)|	PROPN
ejpam-5408	103	2	<	<	X
ejpam-5408	103	3	1	1	NUM
ejpam-5408	103	4	where	where	SCONJ
ejpam-5408	103	5	z	z	NOUN
ejpam-5408	103	6	,	,	PUNCT
ejpam-5408	103	7	w	w	PROPN
ejpam-5408	103	8	∈	∈	PROPN
ejpam-5408	103	9	u	u	NOUN
ejpam-5408	103	10	,	,	PUNCT
ejpam-5408	103	11	then	then	ADV
ejpam-5408	103	12	(	(	PUNCT
ejpam-5408	103	13	1−	1−	NUM
ejpam-5408	103	14	γ	γ	X
ejpam-5408	103	15	)	)	PUNCT
ejpam-5408	103	16	(	(	PUNCT
ejpam-5408	103	17	f(z	f(z	PROPN
ejpam-5408	103	18	)	)	PUNCT
ejpam-5408	103	19	z	z	NOUN
ejpam-5408	103	20	)	)	PUNCT
ejpam-5408	103	21	ν	ν	NOUN
ejpam-5408	103	22	+	+	X
ejpam-5408	103	23	γd̃q	γd̃q	PROPN
ejpam-5408	103	24	(	(	PUNCT
ejpam-5408	103	25	f(z	f(z	PROPN
ejpam-5408	103	26	)	)	PUNCT
ejpam-5408	103	27	)	)	PUNCT
ejpam-5408	103	28	(	(	PUNCT
ejpam-5408	103	29	f(z	f(z	PROPN
ejpam-5408	103	30	)	)	PUNCT
ejpam-5408	103	31	z	z	NOUN
ejpam-5408	103	32	)	)	PUNCT
ejpam-5408	104	1	ν−1	ν−1	NOUN
ejpam-5408	105	1	+	+	PUNCT
ejpam-5408	105	2	ζϵzd̃q	ζϵzd̃q	NOUN
ejpam-5408	105	3	(	(	PUNCT
ejpam-5408	105	4	d̃q	d̃q	X
ejpam-5408	105	5	(	(	PUNCT
ejpam-5408	105	6	f(z	f(z	PROPN
ejpam-5408	105	7	)	)	PUNCT
ejpam-5408	105	8	)	)	PUNCT
ejpam-5408	105	9	)	)	PUNCT
ejpam-5408	105	10	=	=	PUNCT
ejpam-5408	105	11	hα(x	hα(x	X
ejpam-5408	105	12	,	,	PUNCT
ejpam-5408	105	13	u(z	u(z	NOUN
ejpam-5408	105	14	)	)	PUNCT
ejpam-5408	105	15	)	)	PUNCT
ejpam-5408	105	16	(	(	PUNCT
ejpam-5408	105	17	14	14	X
ejpam-5408	105	18	)	)	PUNCT
ejpam-5408	105	19	m.	m.	NOUN
ejpam-5408	105	20	illafe	illafe	ADJ
ejpam-5408	105	21	et	et	PROPN
ejpam-5408	105	22	al	al	PROPN
ejpam-5408	105	23	.	.	PUNCT
ejpam-5408	105	24	/	/	SYM
ejpam-5408	105	25	eur	eur	PROPN
ejpam-5408	105	26	.	.	PUNCT
ejpam-5408	106	1	j.	j.	PROPN
ejpam-5408	106	2	pure	pure	PROPN
ejpam-5408	106	3	appl	appl	PROPN
ejpam-5408	106	4	.	.	PROPN
ejpam-5408	106	5	math	math	PROPN
ejpam-5408	106	6	,	,	PUNCT
ejpam-5408	106	7	17	17	NUM
ejpam-5408	106	8	(	(	PUNCT
ejpam-5408	106	9	4	4	NUM
ejpam-5408	106	10	)	)	PUNCT
ejpam-5408	106	11	(	(	PUNCT
ejpam-5408	106	12	2024	2024	NUM
ejpam-5408	106	13	)	)	PUNCT
ejpam-5408	106	14	,	,	PUNCT
ejpam-5408	106	15	2467	2467	NUM
ejpam-5408	106	16	-	-	SYM
ejpam-5408	106	17	2480	2480	NUM
ejpam-5408	106	18	2472	2472	NUM
ejpam-5408	106	19	and	and	CCONJ
ejpam-5408	106	20	(	(	PUNCT
ejpam-5408	106	21	1−	1−	NUM
ejpam-5408	106	22	γ	γ	X
ejpam-5408	106	23	)	)	PUNCT
ejpam-5408	106	24	(	(	PUNCT
ejpam-5408	106	25	g(w	g(w	PROPN
ejpam-5408	106	26	)	)	PUNCT
ejpam-5408	106	27	w	w	NOUN
ejpam-5408	106	28	)	)	PUNCT
ejpam-5408	106	29	ν	ν	X
ejpam-5408	106	30	+	+	X
ejpam-5408	106	31	γd̃q	γd̃q	PROPN
ejpam-5408	106	32	(	(	PUNCT
ejpam-5408	106	33	g(w	g(w	PROPN
ejpam-5408	106	34	)	)	PUNCT
ejpam-5408	106	35	)	)	PUNCT
ejpam-5408	106	36	(	(	PUNCT
ejpam-5408	106	37	g(w	g(w	X
ejpam-5408	106	38	)	)	PUNCT
ejpam-5408	106	39	w	w	NOUN
ejpam-5408	106	40	)	)	PUNCT
ejpam-5408	107	1	ν−1	ν−1	NOUN
ejpam-5408	108	1	+	+	PUNCT
ejpam-5408	108	2	ζϵzd̃q	ζϵzd̃q	NOUN
ejpam-5408	108	3	(	(	PUNCT
ejpam-5408	108	4	d̃q	d̃q	X
ejpam-5408	108	5	(	(	PUNCT
ejpam-5408	108	6	g(w	g(w	PROPN
ejpam-5408	108	7	)	)	PUNCT
ejpam-5408	108	8	)	)	PUNCT
ejpam-5408	108	9	)	)	PUNCT
ejpam-5408	109	1	=	=	PUNCT
ejpam-5408	109	2	hα(x	hα(x	X
ejpam-5408	109	3	,	,	PUNCT
ejpam-5408	109	4	v(w	v(w	NOUN
ejpam-5408	109	5	)	)	PUNCT
ejpam-5408	109	6	)	)	PUNCT
ejpam-5408	109	7	(	(	PUNCT
ejpam-5408	109	8	15	15	NUM
ejpam-5408	109	9	)	)	PUNCT
ejpam-5408	109	10	now	now	ADV
ejpam-5408	109	11	,	,	PUNCT
ejpam-5408	109	12	let	let	VERB
ejpam-5408	109	13	p	p	PRON
ejpam-5408	109	14	,	,	PUNCT
ejpam-5408	109	15	q	q	PROPN
ejpam-5408	109	16	∈	∈	PROPN
ejpam-5408	109	17	p	p	NOUN
ejpam-5408	109	18	given	give	VERB
ejpam-5408	109	19	by	by	ADP
ejpam-5408	109	20	p(z	p(z	NOUN
ejpam-5408	109	21	)	)	PUNCT
ejpam-5408	109	22	=	=	SYM
ejpam-5408	110	1	1	1	NUM
ejpam-5408	110	2	+	+	NUM
ejpam-5408	110	3	u(z	u(z	NOUN
ejpam-5408	110	4	)	)	PUNCT
ejpam-5408	110	5	1−	1−	NUM
ejpam-5408	110	6	u(z	u(z	NOUN
ejpam-5408	110	7	)	)	PUNCT
ejpam-5408	110	8	=	=	SYM
ejpam-5408	111	1	1	1	NUM
ejpam-5408	111	2	+	+	CCONJ
ejpam-5408	112	1	c1z	c1z	PROPN
ejpam-5408	113	1	+	+	PUNCT
ejpam-5408	113	2	c2z	c2z	PROPN
ejpam-5408	113	3	2	2	NUM
ejpam-5408	113	4	+	+	CCONJ
ejpam-5408	113	5	·	·	PUNCT
ejpam-5408	113	6	·	·	PUNCT
ejpam-5408	113	7	·	·	PUNCT
ejpam-5408	113	8	and	and	CCONJ
ejpam-5408	113	9	q(w	q(w	NOUN
ejpam-5408	113	10	)	)	PUNCT
ejpam-5408	113	11	=	=	SYM
ejpam-5408	113	12	1	1	NUM
ejpam-5408	113	13	+	+	NUM
ejpam-5408	113	14	v(w	v(w	NOUN
ejpam-5408	113	15	)	)	PUNCT
ejpam-5408	113	16	1−	1−	NUM
ejpam-5408	113	17	v(w	v(w	NOUN
ejpam-5408	113	18	)	)	PUNCT
ejpam-5408	113	19	=	=	SYM
ejpam-5408	113	20	1	1	NUM
ejpam-5408	113	21	+	+	CCONJ
ejpam-5408	113	22	d1w	d1w	PROPN
ejpam-5408	113	23	+	+	CCONJ
ejpam-5408	113	24	d2w	d2w	PROPN
ejpam-5408	113	25	2	2	NUM
ejpam-5408	113	26	+	+	CCONJ
ejpam-5408	113	27	·	·	PUNCT
ejpam-5408	113	28	·	·	PUNCT
ejpam-5408	113	29	·	·	PUNCT
ejpam-5408	113	30	.	.	PUNCT
ejpam-5408	114	1	hence	hence	ADV
ejpam-5408	114	2	,	,	PUNCT
ejpam-5408	114	3	we	we	PRON
ejpam-5408	114	4	can	can	AUX
ejpam-5408	114	5	write	write	VERB
ejpam-5408	114	6	u(z	u(z	NOUN
ejpam-5408	114	7	)	)	PUNCT
ejpam-5408	114	8	=	=	PUNCT
ejpam-5408	115	1	p(z)−	p(z)−	VERB
ejpam-5408	115	2	1	1	NUM
ejpam-5408	115	3	p(z	p(z	NOUN
ejpam-5408	115	4	)	)	PUNCT
ejpam-5408	115	5	+	+	CCONJ
ejpam-5408	115	6	1	1	NUM
ejpam-5408	115	7	=	=	SYM
ejpam-5408	115	8	1	1	NUM
ejpam-5408	115	9	2	2	NUM
ejpam-5408	116	1	c1z	c1z	ADP
ejpam-5408	116	2	+	+	NUM
ejpam-5408	116	3	1	1	NUM
ejpam-5408	116	4	2	2	NUM
ejpam-5408	116	5	(	(	PUNCT
ejpam-5408	116	6	c2	c2	PROPN
ejpam-5408	116	7	−	−	PROPN
ejpam-5408	116	8	1	1	NUM
ejpam-5408	116	9	2	2	NUM
ejpam-5408	116	10	c21	c21	NOUN
ejpam-5408	116	11	)	)	PUNCT
ejpam-5408	116	12	z2	z2	PROPN
ejpam-5408	116	13	+	+	CCONJ
ejpam-5408	116	14	·	·	PUNCT
ejpam-5408	116	15	·	·	PUNCT
ejpam-5408	116	16	·	·	PUNCT
ejpam-5408	117	1	(	(	PUNCT
ejpam-5408	117	2	16	16	NUM
ejpam-5408	117	3	)	)	PUNCT
ejpam-5408	117	4	and	and	CCONJ
ejpam-5408	117	5	v(w	v(w	NOUN
ejpam-5408	117	6	)	)	PUNCT
ejpam-5408	117	7	=	=	PRON
ejpam-5408	117	8	q(w)−	q(w)−	VERB
ejpam-5408	117	9	1	1	NUM
ejpam-5408	117	10	q(w	q(w	NOUN
ejpam-5408	117	11	)	)	PUNCT
ejpam-5408	118	1	+	+	CCONJ
ejpam-5408	118	2	1	1	NUM
ejpam-5408	118	3	=	=	SYM
ejpam-5408	118	4	1	1	NUM
ejpam-5408	118	5	2	2	NUM
ejpam-5408	118	6	d1w	d1w	PROPN
ejpam-5408	118	7	+	+	CCONJ
ejpam-5408	118	8	1	1	NUM
ejpam-5408	118	9	2	2	NUM
ejpam-5408	118	10	(	(	PUNCT
ejpam-5408	118	11	d2	d2	NOUN
ejpam-5408	118	12	−	−	PROPN
ejpam-5408	118	13	1	1	NUM
ejpam-5408	118	14	2	2	NUM
ejpam-5408	118	15	d21	d21	NOUN
ejpam-5408	118	16	)	)	PUNCT
ejpam-5408	118	17	w2	w2	NOUN
ejpam-5408	118	18	+	+	CCONJ
ejpam-5408	118	19	·	·	PUNCT
ejpam-5408	118	20	·	·	PUNCT
ejpam-5408	118	21	·	·	PUNCT
ejpam-5408	118	22	.	.	PUNCT
ejpam-5408	119	1	(	(	PUNCT
ejpam-5408	119	2	17	17	NUM
ejpam-5408	119	3	)	)	PUNCT
ejpam-5408	119	4	now	now	ADV
ejpam-5408	119	5	,	,	PUNCT
ejpam-5408	119	6	using	use	VERB
ejpam-5408	119	7	equations	equation	NOUN
ejpam-5408	119	8	(	(	PUNCT
ejpam-5408	119	9	14	14	NUM
ejpam-5408	119	10	)	)	PUNCT
ejpam-5408	119	11	,	,	PUNCT
ejpam-5408	119	12	(	(	PUNCT
ejpam-5408	119	13	15	15	NUM
ejpam-5408	119	14	)	)	PUNCT
ejpam-5408	119	15	,	,	PUNCT
ejpam-5408	119	16	(	(	PUNCT
ejpam-5408	119	17	16	16	NUM
ejpam-5408	119	18	)	)	PUNCT
ejpam-5408	119	19	and	and	CCONJ
ejpam-5408	119	20	(	(	PUNCT
ejpam-5408	119	21	17	17	NUM
ejpam-5408	119	22	)	)	PUNCT
ejpam-5408	119	23	,	,	PUNCT
ejpam-5408	119	24	we	we	PRON
ejpam-5408	119	25	can	can	AUX
ejpam-5408	119	26	write	write	VERB
ejpam-5408	119	27	hα(x	hα(x	PUNCT
ejpam-5408	119	28	,	,	PUNCT
ejpam-5408	119	29	u(z	u(z	NOUN
ejpam-5408	119	30	)	)	PUNCT
ejpam-5408	119	31	)	)	PUNCT
ejpam-5408	120	1	=	=	SYM
ejpam-5408	121	1	1	1	NUM
ejpam-5408	121	2	+	+	CCONJ
ejpam-5408	121	3	1	1	NUM
ejpam-5408	121	4	2	2	NUM
ejpam-5408	121	5	cα	cα	ADP
ejpam-5408	121	6	1	1	NUM
ejpam-5408	121	7	(	(	PUNCT
ejpam-5408	121	8	x)c1z	x)c1z	PROPN
ejpam-5408	122	1	+	+	X
ejpam-5408	122	2	[	[	PUNCT
ejpam-5408	122	3	1	1	NUM
ejpam-5408	122	4	4	4	NUM
ejpam-5408	122	5	cα	cα	ADP
ejpam-5408	122	6	2	2	NUM
ejpam-5408	122	7	(	(	PUNCT
ejpam-5408	122	8	x)c	x)c	NOUN
ejpam-5408	122	9	2	2	NUM
ejpam-5408	122	10	1	1	NUM
ejpam-5408	122	11	+	+	CCONJ
ejpam-5408	122	12	1	1	NUM
ejpam-5408	122	13	2	2	NUM
ejpam-5408	122	14	cα	cα	ADP
ejpam-5408	122	15	1	1	NUM
ejpam-5408	122	16	(	(	PUNCT
ejpam-5408	122	17	x	x	NOUN
ejpam-5408	122	18	)	)	PUNCT
ejpam-5408	122	19	(	(	PUNCT
ejpam-5408	122	20	c2	c2	PROPN
ejpam-5408	122	21	−	−	PROPN
ejpam-5408	122	22	1	1	NUM
ejpam-5408	122	23	2	2	NUM
ejpam-5408	122	24	c21	c21	NOUN
ejpam-5408	122	25	)	)	PUNCT
ejpam-5408	122	26	]	]	PUNCT
ejpam-5408	123	1	z2	z2	PROPN
ejpam-5408	123	2	+	+	CCONJ
ejpam-5408	123	3	·	·	PUNCT
ejpam-5408	123	4	·	·	PUNCT
ejpam-5408	123	5	·	·	PUNCT
ejpam-5408	123	6	,	,	PUNCT
ejpam-5408	123	7	(	(	PUNCT
ejpam-5408	123	8	18	18	NUM
ejpam-5408	123	9	)	)	PUNCT
ejpam-5408	123	10	and	and	CCONJ
ejpam-5408	123	11	hα(x	hα(x	ADJ
ejpam-5408	123	12	,	,	PUNCT
ejpam-5408	123	13	v(w	v(w	NOUN
ejpam-5408	123	14	)	)	PUNCT
ejpam-5408	123	15	)	)	PUNCT
ejpam-5408	124	1	=	=	SYM
ejpam-5408	125	1	1	1	NUM
ejpam-5408	125	2	+	+	CCONJ
ejpam-5408	125	3	1	1	NUM
ejpam-5408	125	4	2	2	NUM
ejpam-5408	125	5	cα	cα	ADP
ejpam-5408	125	6	1	1	NUM
ejpam-5408	125	7	(	(	PUNCT
ejpam-5408	125	8	x)d1w	x)d1w	PROPN
ejpam-5408	125	9	+	+	CCONJ
ejpam-5408	125	10	[	[	PUNCT
ejpam-5408	125	11	1	1	NUM
ejpam-5408	125	12	4	4	NUM
ejpam-5408	125	13	cα	cα	ADP
ejpam-5408	125	14	2	2	NUM
ejpam-5408	125	15	(	(	PUNCT
ejpam-5408	125	16	x)d	x)d	X
ejpam-5408	125	17	2	2	NUM
ejpam-5408	125	18	1	1	NUM
ejpam-5408	125	19	+	+	CCONJ
ejpam-5408	125	20	1	1	NUM
ejpam-5408	125	21	2	2	NUM
ejpam-5408	125	22	cα	cα	ADP
ejpam-5408	125	23	1	1	NUM
ejpam-5408	125	24	(	(	PUNCT
ejpam-5408	125	25	x	x	NOUN
ejpam-5408	125	26	)	)	PUNCT
ejpam-5408	125	27	(	(	PUNCT
ejpam-5408	125	28	d2	d2	VERB
ejpam-5408	125	29	−	−	PROPN
ejpam-5408	125	30	1	1	NUM
ejpam-5408	125	31	2	2	NUM
ejpam-5408	125	32	d21	d21	NOUN
ejpam-5408	125	33	)	)	PUNCT
ejpam-5408	125	34	]	]	PUNCT
ejpam-5408	125	35	w2	w2	NOUN
ejpam-5408	125	36	+	+	CCONJ
ejpam-5408	125	37	·	·	PUNCT
ejpam-5408	125	38	·	·	PUNCT
ejpam-5408	125	39	·	·	PUNCT
ejpam-5408	125	40	.	.	PUNCT
ejpam-5408	126	1	(	(	PUNCT
ejpam-5408	126	2	19	19	NUM
ejpam-5408	126	3	)	)	PUNCT
ejpam-5408	126	4	also	also	ADV
ejpam-5408	126	5	,	,	PUNCT
ejpam-5408	126	6	from	from	ADP
ejpam-5408	126	7	equations	equation	NOUN
ejpam-5408	126	8	(	(	PUNCT
ejpam-5408	126	9	18	18	NUM
ejpam-5408	126	10	)	)	PUNCT
ejpam-5408	126	11	and	and	CCONJ
ejpam-5408	126	12	(	(	PUNCT
ejpam-5408	126	13	19	19	NUM
ejpam-5408	126	14	)	)	PUNCT
ejpam-5408	126	15	,	,	PUNCT
ejpam-5408	126	16	we	we	PRON
ejpam-5408	126	17	get	get	VERB
ejpam-5408	126	18	(	(	PUNCT
ejpam-5408	126	19	ν	ν	X
ejpam-5408	126	20	−	−	PROPN
ejpam-5408	126	21	γ	γ	X
ejpam-5408	126	22	+	+	PROPN
ejpam-5408	127	1	[	[	X
ejpam-5408	127	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	127	3	+	+	CCONJ
ejpam-5408	127	4	ζϵ	ζϵ	NOUN
ejpam-5408	127	5	)	)	PUNCT
ejpam-5408	127	6	)	)	PUNCT
ejpam-5408	127	7	a2	a2	PROPN
ejpam-5408	127	8	=	=	SYM
ejpam-5408	127	9	1	1	NUM
ejpam-5408	127	10	2	2	NUM
ejpam-5408	127	11	cα	cα	ADP
ejpam-5408	127	12	1	1	NUM
ejpam-5408	127	13	(	(	PUNCT
ejpam-5408	127	14	x)c1	x)c1	PROPN
ejpam-5408	127	15	,	,	PUNCT
ejpam-5408	127	16	(	(	PUNCT
ejpam-5408	127	17	20	20	NUM
ejpam-5408	127	18	)	)	PUNCT
ejpam-5408	127	19	(	(	PUNCT
ejpam-5408	127	20	ν	ν	X
ejpam-5408	127	21	−	−	NOUN
ejpam-5408	127	22	1	1	NUM
ejpam-5408	127	23	)	)	PUNCT
ejpam-5408	127	24	[	[	PUNCT
ejpam-5408	127	25	γ	γ	X
ejpam-5408	127	26	[	[	X
ejpam-5408	127	27	̃2]q	̃2]q	NOUN
ejpam-5408	127	28	+	+	CCONJ
ejpam-5408	127	29	γ	γ	X
ejpam-5408	127	30	(	(	PUNCT
ejpam-5408	127	31	ν	ν	X
ejpam-5408	127	32	−	−	PROPN
ejpam-5408	127	33	2	2	NUM
ejpam-5408	127	34	)	)	PUNCT
ejpam-5408	127	35	2	2	NUM
ejpam-5408	127	36	+	+	CCONJ
ejpam-5408	127	37	(	(	PUNCT
ejpam-5408	127	38	1−	1−	NUM
ejpam-5408	127	39	γ	γ	X
ejpam-5408	127	40	)	)	PUNCT
ejpam-5408	127	41	ν	ν	PROPN
ejpam-5408	127	42	2	2	NUM
ejpam-5408	127	43	]	]	PUNCT
ejpam-5408	127	44	a22	a22	PROPN
ejpam-5408	128	1	+	+	X
ejpam-5408	128	2	[	[	PUNCT
ejpam-5408	128	3	γ	γ	X
ejpam-5408	128	4	(	(	PUNCT
ejpam-5408	128	5	[	[	X
ejpam-5408	128	6	̃3]q	̃3]q	VERB
ejpam-5408	128	7	+	+	NUM
ejpam-5408	128	8	ν	ν	NOUN
ejpam-5408	128	9	−	−	NUM
ejpam-5408	128	10	1	1	NUM
ejpam-5408	128	11	)	)	PUNCT
ejpam-5408	128	12	+	+	CCONJ
ejpam-5408	128	13	(	(	PUNCT
ejpam-5408	128	14	1−	1−	NUM
ejpam-5408	128	15	γ	γ	X
ejpam-5408	128	16	)	)	PUNCT
ejpam-5408	128	17	ν	ν	NOUN
ejpam-5408	128	18	+	+	PUNCT
ejpam-5408	129	1	[	[	X
ejpam-5408	129	2	̃2]q	̃2]q	X
ejpam-5408	129	3	[	[	X
ejpam-5408	129	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	129	5	]	]	PUNCT
ejpam-5408	129	6	a3	a3	NOUN
ejpam-5408	129	7	=	=	NOUN
ejpam-5408	129	8	1	1	NUM
ejpam-5408	129	9	2	2	NUM
ejpam-5408	129	10	cα	cα	ADP
ejpam-5408	129	11	1	1	NUM
ejpam-5408	129	12	(	(	PUNCT
ejpam-5408	129	13	x	x	NOUN
ejpam-5408	129	14	)	)	PUNCT
ejpam-5408	129	15	(	(	PUNCT
ejpam-5408	129	16	c2	c2	PROPN
ejpam-5408	129	17	−	−	PROPN
ejpam-5408	129	18	c21	c21	NOUN
ejpam-5408	129	19	2	2	NUM
ejpam-5408	129	20	)	)	PUNCT
ejpam-5408	129	21	+	+	CCONJ
ejpam-5408	129	22	1	1	NUM
ejpam-5408	129	23	4	4	NUM
ejpam-5408	129	24	cα	cα	ADP
ejpam-5408	129	25	2	2	NUM
ejpam-5408	129	26	(	(	PUNCT
ejpam-5408	129	27	x	x	NOUN
ejpam-5408	129	28	)	)	PUNCT
ejpam-5408	129	29	c21	c21	NOUN
ejpam-5408	129	30	,	,	PUNCT
ejpam-5408	129	31	(	(	PUNCT
ejpam-5408	129	32	21	21	NUM
ejpam-5408	129	33	)	)	PUNCT
ejpam-5408	129	34	−	−	PROPN
ejpam-5408	129	35	(	(	PUNCT
ejpam-5408	129	36	ν	ν	X
ejpam-5408	129	37	−	−	PROPN
ejpam-5408	129	38	γ	γ	X
ejpam-5408	129	39	+	+	PROPN
ejpam-5408	130	1	[	[	X
ejpam-5408	130	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	130	3	+	+	CCONJ
ejpam-5408	130	4	ζϵ	ζϵ	NOUN
ejpam-5408	130	5	)	)	PUNCT
ejpam-5408	130	6	)	)	PUNCT
ejpam-5408	130	7	a2	a2	PROPN
ejpam-5408	130	8	=	=	SYM
ejpam-5408	130	9	1	1	NUM
ejpam-5408	130	10	2	2	NUM
ejpam-5408	130	11	cα	cα	ADP
ejpam-5408	130	12	1	1	NUM
ejpam-5408	130	13	(	(	PUNCT
ejpam-5408	130	14	x)d1	x)d1	PROPN
ejpam-5408	130	15	,	,	PUNCT
ejpam-5408	130	16	(	(	PUNCT
ejpam-5408	130	17	22	22	NUM
ejpam-5408	130	18	)	)	PUNCT
ejpam-5408	130	19	and	and	CCONJ
ejpam-5408	130	20	(	(	PUNCT
ejpam-5408	130	21	ν	ν	X
ejpam-5408	130	22	−	−	NOUN
ejpam-5408	130	23	1	1	NUM
ejpam-5408	130	24	)	)	PUNCT
ejpam-5408	130	25	[	[	PUNCT
ejpam-5408	131	1	[	[	X
ejpam-5408	131	2	̃2]qγ	̃2]qγ	X
ejpam-5408	131	3	+	+	NOUN
ejpam-5408	131	4	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	131	5	+	+	CCONJ
ejpam-5408	131	6	(	(	PUNCT
ejpam-5408	131	7	ν	ν	X
ejpam-5408	131	8	+	+	NOUN
ejpam-5408	131	9	2	2	X
ejpam-5408	131	10	)	)	PUNCT
ejpam-5408	131	11	γ	γ	NOUN
ejpam-5408	131	12	2	2	NUM
ejpam-5408	131	13	+	+	CCONJ
ejpam-5408	131	14	ν	ν	NOUN
ejpam-5408	131	15	(	(	PUNCT
ejpam-5408	131	16	ν	ν	X
ejpam-5408	131	17	+	+	NOUN
ejpam-5408	131	18	3	3	NUM
ejpam-5408	131	19	)	)	PUNCT
ejpam-5408	131	20	(	(	PUNCT
ejpam-5408	131	21	1−	1−	NUM
ejpam-5408	131	22	γ	γ	NOUN
ejpam-5408	131	23	)	)	PUNCT
ejpam-5408	131	24	2	2	NUM
ejpam-5408	131	25	(	(	PUNCT
ejpam-5408	131	26	ν	ν	NOUN
ejpam-5408	131	27	−	−	PROPN
ejpam-5408	131	28	1	1	NUM
ejpam-5408	131	29	)	)	PUNCT
ejpam-5408	131	30	+	+	CCONJ
ejpam-5408	131	31	2[̃2]q	2[̃2]q	NUM
ejpam-5408	132	1	[	[	X
ejpam-5408	132	2	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	132	3	(	(	PUNCT
ejpam-5408	132	4	ν	ν	X
ejpam-5408	132	5	−	−	PROPN
ejpam-5408	132	6	1	1	NUM
ejpam-5408	132	7	)	)	PUNCT
ejpam-5408	132	8	]	]	PUNCT
ejpam-5408	132	9	a22	a22	PROPN
ejpam-5408	132	10	−	−	PROPN
ejpam-5408	133	1	[	[	PUNCT
ejpam-5408	133	2	γ	γ	X
ejpam-5408	133	3	(	(	PUNCT
ejpam-5408	133	4	[	[	X
ejpam-5408	133	5	̃3]q	̃3]q	VERB
ejpam-5408	133	6	+	+	NUM
ejpam-5408	133	7	ν	ν	NOUN
ejpam-5408	133	8	−	−	NUM
ejpam-5408	133	9	1	1	NUM
ejpam-5408	133	10	)	)	PUNCT
ejpam-5408	133	11	+	+	CCONJ
ejpam-5408	133	12	(	(	PUNCT
ejpam-5408	133	13	1−	1−	NUM
ejpam-5408	133	14	γ	γ	X
ejpam-5408	133	15	)	)	PUNCT
ejpam-5408	133	16	ν	ν	NOUN
ejpam-5408	133	17	+	+	PUNCT
ejpam-5408	134	1	[	[	X
ejpam-5408	134	2	̃2]q	̃2]q	X
ejpam-5408	134	3	[	[	X
ejpam-5408	134	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	134	5	]	]	PUNCT
ejpam-5408	134	6	a3	a3	NOUN
ejpam-5408	134	7	=	=	NOUN
ejpam-5408	134	8	1	1	NUM
ejpam-5408	134	9	2	2	NUM
ejpam-5408	134	10	cα	cα	ADP
ejpam-5408	134	11	1	1	NUM
ejpam-5408	134	12	(	(	PUNCT
ejpam-5408	134	13	x	x	NOUN
ejpam-5408	134	14	)	)	PUNCT
ejpam-5408	134	15	(	(	PUNCT
ejpam-5408	134	16	d2	d2	PROPN
ejpam-5408	134	17	−	−	PROPN
ejpam-5408	134	18	d21	d21	NOUN
ejpam-5408	134	19	2	2	NUM
ejpam-5408	134	20	)	)	PUNCT
ejpam-5408	134	21	+	+	CCONJ
ejpam-5408	134	22	1	1	NUM
ejpam-5408	134	23	4	4	NUM
ejpam-5408	134	24	cα	cα	ADP
ejpam-5408	134	25	2	2	NUM
ejpam-5408	134	26	(	(	PUNCT
ejpam-5408	134	27	x	x	NOUN
ejpam-5408	134	28	)	)	PUNCT
ejpam-5408	134	29	d21	d21	NOUN
ejpam-5408	134	30	.	.	PUNCT
ejpam-5408	135	1	(	(	PUNCT
ejpam-5408	135	2	23	23	NUM
ejpam-5408	135	3	)	)	PUNCT
ejpam-5408	135	4	m.	m.	NOUN
ejpam-5408	135	5	illafe	illafe	ADJ
ejpam-5408	135	6	et	et	PROPN
ejpam-5408	135	7	al	al	PROPN
ejpam-5408	135	8	.	.	PUNCT
ejpam-5408	135	9	/	/	SYM
ejpam-5408	135	10	eur	eur	PROPN
ejpam-5408	135	11	.	.	PUNCT
ejpam-5408	136	1	j.	j.	PROPN
ejpam-5408	136	2	pure	pure	PROPN
ejpam-5408	136	3	appl	appl	PROPN
ejpam-5408	136	4	.	.	PROPN
ejpam-5408	136	5	math	math	PROPN
ejpam-5408	136	6	,	,	PUNCT
ejpam-5408	136	7	17	17	NUM
ejpam-5408	136	8	(	(	PUNCT
ejpam-5408	136	9	4	4	NUM
ejpam-5408	136	10	)	)	PUNCT
ejpam-5408	136	11	(	(	PUNCT
ejpam-5408	136	12	2024	2024	NUM
ejpam-5408	136	13	)	)	PUNCT
ejpam-5408	136	14	,	,	PUNCT
ejpam-5408	136	15	2467	2467	NUM
ejpam-5408	136	16	-	-	SYM
ejpam-5408	136	17	2480	2480	NUM
ejpam-5408	136	18	2473	2473	NUM
ejpam-5408	136	19	equations	equation	NOUN
ejpam-5408	136	20	(	(	PUNCT
ejpam-5408	136	21	20	20	NUM
ejpam-5408	136	22	)	)	PUNCT
ejpam-5408	136	23	and	and	CCONJ
ejpam-5408	136	24	(	(	PUNCT
ejpam-5408	136	25	22	22	NUM
ejpam-5408	136	26	)	)	PUNCT
ejpam-5408	136	27	implies	imply	VERB
ejpam-5408	136	28	c1	c1	NOUN
ejpam-5408	136	29	=	=	PROPN
ejpam-5408	136	30	−d1	−d1	PROPN
ejpam-5408	136	31	(	(	PUNCT
ejpam-5408	136	32	24	24	NUM
ejpam-5408	136	33	)	)	PUNCT
ejpam-5408	136	34	and	and	CCONJ
ejpam-5408	136	35	8	8	NUM
ejpam-5408	136	36	(	(	PUNCT
ejpam-5408	136	37	ν	ν	NOUN
ejpam-5408	136	38	−	−	PROPN
ejpam-5408	136	39	γ	γ	X
ejpam-5408	136	40	+	+	PROPN
ejpam-5408	137	1	[	[	X
ejpam-5408	137	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	137	3	+	+	CCONJ
ejpam-5408	137	4	ζϵ	ζϵ	NOUN
ejpam-5408	137	5	)	)	PUNCT
ejpam-5408	137	6	)	)	PUNCT
ejpam-5408	137	7	2	2	NUM
ejpam-5408	137	8	a22	a22	NOUN
ejpam-5408	137	9	=	=	PUNCT
ejpam-5408	137	10	(	(	PUNCT
ejpam-5408	137	11	cα	cα	NOUN
ejpam-5408	137	12	1	1	NUM
ejpam-5408	137	13	(	(	PUNCT
ejpam-5408	137	14	x	x	NOUN
ejpam-5408	137	15	)	)	PUNCT
ejpam-5408	137	16	)	)	PUNCT
ejpam-5408	137	17	2	2	NUM
ejpam-5408	137	18	(	(	PUNCT
ejpam-5408	137	19	c21	c21	NOUN
ejpam-5408	137	20	+	+	X
ejpam-5408	137	21	d21	d21	NOUN
ejpam-5408	137	22	)	)	PUNCT
ejpam-5408	137	23	.	.	PUNCT
ejpam-5408	138	1	(	(	PUNCT
ejpam-5408	138	2	25	25	NUM
ejpam-5408	138	3	)	)	PUNCT
ejpam-5408	138	4	adding	add	VERB
ejpam-5408	138	5	(	(	PUNCT
ejpam-5408	138	6	21	21	NUM
ejpam-5408	138	7	)	)	PUNCT
ejpam-5408	138	8	and	and	CCONJ
ejpam-5408	138	9	(	(	PUNCT
ejpam-5408	138	10	23	23	NUM
ejpam-5408	138	11	)	)	PUNCT
ejpam-5408	138	12	,	,	PUNCT
ejpam-5408	138	13	we	we	PRON
ejpam-5408	138	14	deduce	deduce	VERB
ejpam-5408	138	15	[	[	PUNCT
ejpam-5408	138	16	2[̃2]qγ	2[̃2]qγ	NUM
ejpam-5408	138	17	(	(	PUNCT
ejpam-5408	138	18	ν	ν	X
ejpam-5408	138	19	−	−	PROPN
ejpam-5408	138	20	1	1	NUM
ejpam-5408	138	21	)	)	PUNCT
ejpam-5408	138	22	+	+	CCONJ
ejpam-5408	138	23	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	138	24	+	+	CCONJ
ejpam-5408	138	25	ν	ν	NOUN
ejpam-5408	138	26	(	(	PUNCT
ejpam-5408	138	27	ν	ν	X
ejpam-5408	138	28	−	−	NOUN
ejpam-5408	138	29	2γ	2γ	NOUN
ejpam-5408	138	30	+	+	X
ejpam-5408	138	31	1	1	NUM
ejpam-5408	138	32	)	)	PUNCT
ejpam-5408	138	33	+	+	CCONJ
ejpam-5408	139	1	2[̃2]q	2[̃2]q	NUM
ejpam-5408	140	1	[	[	X
ejpam-5408	140	2	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	140	3	]	]	PUNCT
ejpam-5408	140	4	a22	a22	PROPN
ejpam-5408	140	5	=	=	SYM
ejpam-5408	140	6	1	1	NUM
ejpam-5408	140	7	2	2	NUM
ejpam-5408	140	8	cα	cα	ADP
ejpam-5408	140	9	1	1	NUM
ejpam-5408	140	10	(	(	PUNCT
ejpam-5408	140	11	x	x	NOUN
ejpam-5408	140	12	)	)	PUNCT
ejpam-5408	140	13	(	(	PUNCT
ejpam-5408	140	14	c2	c2	PROPN
ejpam-5408	140	15	+	+	CCONJ
ejpam-5408	140	16	d2)+	d2)+	ADJ
ejpam-5408	140	17	1	1	NUM
ejpam-5408	140	18	4	4	NUM
ejpam-5408	140	19	(	(	PUNCT
ejpam-5408	140	20	cα	cα	NOUN
ejpam-5408	140	21	2	2	NUM
ejpam-5408	140	22	(	(	PUNCT
ejpam-5408	140	23	x)−	x)−	PROPN
ejpam-5408	140	24	cα	cα	ADP
ejpam-5408	140	25	1	1	NUM
ejpam-5408	140	26	(	(	PUNCT
ejpam-5408	140	27	x	x	NOUN
ejpam-5408	140	28	)	)	PUNCT
ejpam-5408	140	29	)	)	PUNCT
ejpam-5408	140	30	(	(	PUNCT
ejpam-5408	140	31	c21	c21	NOUN
ejpam-5408	140	32	+	+	X
ejpam-5408	140	33	d21	d21	NOUN
ejpam-5408	140	34	)	)	PUNCT
ejpam-5408	140	35	.	.	PUNCT
ejpam-5408	141	1	(	(	PUNCT
ejpam-5408	141	2	26	26	NUM
ejpam-5408	141	3	)	)	PUNCT
ejpam-5408	141	4	plugging	plugging	NOUN
ejpam-5408	141	5	(	(	PUNCT
ejpam-5408	141	6	c21	c21	NOUN
ejpam-5408	141	7	+	+	CCONJ
ejpam-5408	141	8	d21	d21	NOUN
ejpam-5408	141	9	)	)	PUNCT
ejpam-5408	141	10	obtained	obtain	VERB
ejpam-5408	141	11	from	from	ADP
ejpam-5408	141	12	(	(	PUNCT
ejpam-5408	141	13	25	25	NUM
ejpam-5408	141	14	)	)	PUNCT
ejpam-5408	141	15	into	into	ADP
ejpam-5408	141	16	(	(	PUNCT
ejpam-5408	141	17	26	26	NUM
ejpam-5408	141	18	)	)	PUNCT
ejpam-5408	141	19	yield	yield	NOUN
ejpam-5408	141	20	[	[	PUNCT
ejpam-5408	141	21	2[̃2]qγ	2[̃2]qγ	NUM
ejpam-5408	141	22	(	(	PUNCT
ejpam-5408	141	23	ν	ν	X
ejpam-5408	141	24	−	−	PROPN
ejpam-5408	141	25	1	1	NUM
ejpam-5408	141	26	)	)	PUNCT
ejpam-5408	141	27	+	+	CCONJ
ejpam-5408	142	1	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	142	2	+	+	CCONJ
ejpam-5408	142	3	ν	ν	NOUN
ejpam-5408	142	4	(	(	PUNCT
ejpam-5408	142	5	ν	ν	X
ejpam-5408	142	6	−	−	NOUN
ejpam-5408	142	7	2γ	2γ	NOUN
ejpam-5408	142	8	+	+	X
ejpam-5408	142	9	1	1	NUM
ejpam-5408	142	10	)	)	PUNCT
ejpam-5408	143	1	+	+	CCONJ
ejpam-5408	143	2	2[̃2]q	2[̃2]q	NUM
ejpam-5408	144	1	[	[	PUNCT
ejpam-5408	144	2	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	144	3	2υ	2υ	NOUN
ejpam-5408	144	4	[	[	X
ejpam-5408	144	5	cα	cα	X
ejpam-5408	144	6	2	2	NUM
ejpam-5408	144	7	(	(	PUNCT
ejpam-5408	144	8	x)−	x)−	PROPN
ejpam-5408	144	9	cα	cα	ADP
ejpam-5408	144	10	1	1	NUM
ejpam-5408	144	11	(	(	PUNCT
ejpam-5408	144	12	x	x	NOUN
ejpam-5408	144	13	)	)	PUNCT
ejpam-5408	144	14	]	]	PUNCT
ejpam-5408	145	1	[	[	X
ejpam-5408	145	2	cα	cα	ADP
ejpam-5408	145	3	1	1	NUM
ejpam-5408	145	4	(	(	PUNCT
ejpam-5408	145	5	x	x	NOUN
ejpam-5408	145	6	)	)	PUNCT
ejpam-5408	145	7	]	]	PUNCT
ejpam-5408	145	8	2	2	X
ejpam-5408	145	9	]	]	PUNCT
ejpam-5408	145	10	a22	a22	PROPN
ejpam-5408	145	11	=	=	NOUN
ejpam-5408	145	12	1	1	NUM
ejpam-5408	145	13	2	2	NUM
ejpam-5408	145	14	cα	cα	ADP
ejpam-5408	145	15	1	1	NUM
ejpam-5408	145	16	(	(	PUNCT
ejpam-5408	145	17	x	x	NOUN
ejpam-5408	145	18	)	)	PUNCT
ejpam-5408	145	19	(	(	PUNCT
ejpam-5408	145	20	c2	c2	PROPN
ejpam-5408	145	21	+	+	CCONJ
ejpam-5408	145	22	d2	d2	PROPN
ejpam-5408	145	23	)	)	PUNCT
ejpam-5408	145	24	,	,	PUNCT
ejpam-5408	145	25	(	(	PUNCT
ejpam-5408	145	26	27	27	NUM
ejpam-5408	145	27	)	)	PUNCT
ejpam-5408	145	28	where	where	SCONJ
ejpam-5408	145	29	υ	υ	NOUN
ejpam-5408	145	30	:	:	PUNCT
ejpam-5408	145	31	=	=	SYM
ejpam-5408	145	32	(	(	PUNCT
ejpam-5408	145	33	ν	ν	X
ejpam-5408	145	34	−	−	PROPN
ejpam-5408	145	35	γ	γ	X
ejpam-5408	145	36	+	+	PROPN
ejpam-5408	145	37	[	[	X
ejpam-5408	145	38	̃2]q(γ	̃2]q(γ	X
ejpam-5408	145	39	+	+	CCONJ
ejpam-5408	145	40	ζϵ	ζϵ	NOUN
ejpam-5408	145	41	)	)	PUNCT
ejpam-5408	145	42	)	)	PUNCT
ejpam-5408	145	43	2	2	X
ejpam-5408	145	44	.	.	PUNCT
ejpam-5408	146	1	furthermore	furthermore	ADV
ejpam-5408	146	2	,	,	PUNCT
ejpam-5408	146	3	from	from	ADP
ejpam-5408	146	4	(	(	PUNCT
ejpam-5408	146	5	13	13	NUM
ejpam-5408	146	6	)	)	PUNCT
ejpam-5408	146	7	,	,	PUNCT
ejpam-5408	146	8	(	(	PUNCT
ejpam-5408	146	9	19	19	NUM
ejpam-5408	146	10	)	)	PUNCT
ejpam-5408	146	11	and	and	CCONJ
ejpam-5408	146	12	(	(	PUNCT
ejpam-5408	146	13	27	27	NUM
ejpam-5408	146	14	)	)	PUNCT
ejpam-5408	146	15	,	,	PUNCT
ejpam-5408	146	16	it	it	PRON
ejpam-5408	146	17	follows	follow	VERB
ejpam-5408	146	18	that	that	PRON
ejpam-5408	146	19	|a2|	|a2|	VERB
ejpam-5408	146	20	≤	≤	ADJ
ejpam-5408	146	21	2αx	2αx	NOUN
ejpam-5408	146	22	√	√	ADP
ejpam-5408	146	23	x√√√√√√√	x√√√√√√√	PROPN
ejpam-5408	146	24	∣∣∣∣x2	∣∣∣∣x2	PUNCT
ejpam-5408	147	1	[	[	PUNCT
ejpam-5408	147	2	α(2[̃2]qγ	α(2[̃2]qγ	PROPN
ejpam-5408	147	3	(	(	PUNCT
ejpam-5408	147	4	ν	ν	X
ejpam-5408	147	5	−	−	NOUN
ejpam-5408	147	6	1	1	NUM
ejpam-5408	147	7	)	)	PUNCT
ejpam-5408	147	8	+	+	CCONJ
ejpam-5408	147	9	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	147	10	+	+	CCONJ
ejpam-5408	147	11	ν	ν	NOUN
ejpam-5408	147	12	(	(	PUNCT
ejpam-5408	147	13	ν	ν	X
ejpam-5408	147	14	−	−	NOUN
ejpam-5408	147	15	2γ	2γ	NOUN
ejpam-5408	147	16	+	+	X
ejpam-5408	147	17	1	1	NUM
ejpam-5408	147	18	)	)	PUNCT
ejpam-5408	147	19	+	+	CCONJ
ejpam-5408	147	20	2[̃2]q	2[̃2]q	NUM
ejpam-5408	147	21	[	[	X
ejpam-5408	147	22	̃3]qζϵ	̃3]qζϵ	NOUN
ejpam-5408	147	23	)	)	PUNCT
ejpam-5408	147	24	−	−	PROPN
ejpam-5408	147	25	2	2	NUM
ejpam-5408	147	26	(	(	PUNCT
ejpam-5408	147	27	1	1	NUM
ejpam-5408	147	28	+	+	CCONJ
ejpam-5408	147	29	α)υ	α)υ	ADJ
ejpam-5408	147	30	]	]	PUNCT
ejpam-5408	148	1	+	+	ADJ
ejpam-5408	148	2	(	(	PUNCT
ejpam-5408	148	3	1	1	NUM
ejpam-5408	148	4	+	+	SYM
ejpam-5408	148	5	2x)υ	2x)υ	NUM
ejpam-5408	148	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5408	148	7	subtracting	subtract	VERB
ejpam-5408	148	8	(	(	PUNCT
ejpam-5408	148	9	21	21	NUM
ejpam-5408	148	10	)	)	PUNCT
ejpam-5408	148	11	from	from	ADP
ejpam-5408	148	12	(	(	PUNCT
ejpam-5408	148	13	23	23	NUM
ejpam-5408	148	14	)	)	PUNCT
ejpam-5408	148	15	,	,	PUNCT
ejpam-5408	148	16	we	we	PRON
ejpam-5408	148	17	have	have	VERB
ejpam-5408	148	18	2	2	NUM
ejpam-5408	148	19	[	[	PUNCT
ejpam-5408	148	20	γ	γ	X
ejpam-5408	148	21	(	(	PUNCT
ejpam-5408	148	22	[	[	X
ejpam-5408	148	23	̃3]q	̃3]q	VERB
ejpam-5408	148	24	+	+	NUM
ejpam-5408	148	25	ν	ν	NOUN
ejpam-5408	148	26	−	−	NUM
ejpam-5408	148	27	1	1	NUM
ejpam-5408	148	28	)	)	PUNCT
ejpam-5408	148	29	+	+	CCONJ
ejpam-5408	148	30	(	(	PUNCT
ejpam-5408	148	31	1−	1−	NUM
ejpam-5408	148	32	γ	γ	X
ejpam-5408	148	33	)	)	PUNCT
ejpam-5408	148	34	ν	ν	NOUN
ejpam-5408	148	35	+	+	PUNCT
ejpam-5408	149	1	[	[	X
ejpam-5408	149	2	̃2]q	̃2]q	X
ejpam-5408	149	3	[	[	X
ejpam-5408	149	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	149	5	]	]	PUNCT
ejpam-5408	149	6	(	(	PUNCT
ejpam-5408	149	7	a3	a3	NOUN
ejpam-5408	149	8	−	−	PROPN
ejpam-5408	149	9	a22	a22	PROPN
ejpam-5408	149	10	)	)	PUNCT
ejpam-5408	149	11	=	=	NOUN
ejpam-5408	149	12	1	1	NUM
ejpam-5408	149	13	2	2	NUM
ejpam-5408	149	14	cα	cα	ADP
ejpam-5408	149	15	1	1	NUM
ejpam-5408	149	16	(	(	PUNCT
ejpam-5408	149	17	x	x	NOUN
ejpam-5408	149	18	)	)	PUNCT
ejpam-5408	149	19	(	(	PUNCT
ejpam-5408	149	20	c2	c2	PROPN
ejpam-5408	149	21	−	−	PROPN
ejpam-5408	149	22	d2)+	d2)+	PROPN
ejpam-5408	149	23	1	1	NUM
ejpam-5408	149	24	4	4	NUM
ejpam-5408	149	25	(	(	PUNCT
ejpam-5408	149	26	cα	cα	NOUN
ejpam-5408	149	27	2	2	NUM
ejpam-5408	149	28	(	(	PUNCT
ejpam-5408	149	29	x)−	x)−	PROPN
ejpam-5408	149	30	cα	cα	ADP
ejpam-5408	149	31	1	1	NUM
ejpam-5408	149	32	(	(	PUNCT
ejpam-5408	149	33	x	x	NOUN
ejpam-5408	149	34	)	)	PUNCT
ejpam-5408	149	35	)	)	PUNCT
ejpam-5408	150	1	(	(	PUNCT
ejpam-5408	150	2	c21	c21	PROPN
ejpam-5408	150	3	−	−	PROPN
ejpam-5408	150	4	d21	d21	PROPN
ejpam-5408	150	5	)	)	PUNCT
ejpam-5408	150	6	.	.	PUNCT
ejpam-5408	151	1	(	(	PUNCT
ejpam-5408	151	2	28	28	X
ejpam-5408	151	3	)	)	PUNCT
ejpam-5408	151	4	utilizing	utilize	VERB
ejpam-5408	151	5	equations	equation	NOUN
ejpam-5408	151	6	(	(	PUNCT
ejpam-5408	151	7	3	3	NUM
ejpam-5408	151	8	)	)	PUNCT
ejpam-5408	151	9	and	and	CCONJ
ejpam-5408	151	10	(	(	PUNCT
ejpam-5408	151	11	25	25	NUM
ejpam-5408	151	12	)	)	PUNCT
ejpam-5408	151	13	,	,	PUNCT
ejpam-5408	151	14	we	we	PRON
ejpam-5408	151	15	can	can	AUX
ejpam-5408	151	16	write	write	VERB
ejpam-5408	151	17	(	(	PUNCT
ejpam-5408	151	18	28	28	NUM
ejpam-5408	151	19	)	)	PUNCT
ejpam-5408	151	20	as	as	ADP
ejpam-5408	151	21	a3	a3	NOUN
ejpam-5408	151	22	=	=	PUNCT
ejpam-5408	151	23	a22	a22	PROPN
ejpam-5408	152	1	+	+	CCONJ
ejpam-5408	152	2	cα	cα	PROPN
ejpam-5408	152	3	1	1	NUM
ejpam-5408	152	4	(	(	PUNCT
ejpam-5408	152	5	x	x	NOUN
ejpam-5408	152	6	)	)	PUNCT
ejpam-5408	152	7	4	4	NUM
ejpam-5408	152	8	[	[	PUNCT
ejpam-5408	152	9	γ	γ	X
ejpam-5408	152	10	[	[	X
ejpam-5408	152	11	̃3]q	̃3]q	PROPN
ejpam-5408	152	12	−	−	PROPN
ejpam-5408	152	13	(	(	PUNCT
ejpam-5408	152	14	γ	γ	NOUN
ejpam-5408	152	15	−	−	NOUN
ejpam-5408	152	16	ν	ν	PROPN
ejpam-5408	152	17	)	)	PUNCT
ejpam-5408	153	1	+	+	CCONJ
ejpam-5408	154	1	[	[	X
ejpam-5408	154	2	̃2]q	̃2]q	X
ejpam-5408	154	3	[	[	X
ejpam-5408	154	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	154	5	]	]	PUNCT
ejpam-5408	154	6	(	(	PUNCT
ejpam-5408	154	7	c2	c2	PROPN
ejpam-5408	154	8	−	−	PROPN
ejpam-5408	154	9	d2	d2	PROPN
ejpam-5408	154	10	)	)	PUNCT
ejpam-5408	154	11	.	.	PUNCT
ejpam-5408	155	1	(	(	PUNCT
ejpam-5408	155	2	29	29	NUM
ejpam-5408	155	3	)	)	PUNCT
ejpam-5408	155	4	now	now	ADV
ejpam-5408	155	5	,	,	PUNCT
ejpam-5408	155	6	using	use	VERB
ejpam-5408	155	7	equations	equation	NOUN
ejpam-5408	155	8	(	(	PUNCT
ejpam-5408	155	9	3	3	NUM
ejpam-5408	155	10	)	)	PUNCT
ejpam-5408	155	11	and	and	CCONJ
ejpam-5408	155	12	(	(	PUNCT
ejpam-5408	155	13	13	13	NUM
ejpam-5408	155	14	)	)	PUNCT
ejpam-5408	155	15	,	,	PUNCT
ejpam-5408	155	16	we	we	PRON
ejpam-5408	155	17	can	can	AUX
ejpam-5408	155	18	write	write	VERB
ejpam-5408	155	19	m.	m.	NOUN
ejpam-5408	155	20	illafe	illafe	PROPN
ejpam-5408	155	21	et	et	PROPN
ejpam-5408	155	22	al	al	PROPN
ejpam-5408	155	23	.	.	PUNCT
ejpam-5408	155	24	/	/	SYM
ejpam-5408	155	25	eur	eur	PROPN
ejpam-5408	155	26	.	.	PUNCT
ejpam-5408	156	1	j.	j.	PROPN
ejpam-5408	156	2	pure	pure	PROPN
ejpam-5408	156	3	appl	appl	PROPN
ejpam-5408	156	4	.	.	PROPN
ejpam-5408	156	5	math	math	PROPN
ejpam-5408	156	6	,	,	PUNCT
ejpam-5408	156	7	17	17	NUM
ejpam-5408	156	8	(	(	PUNCT
ejpam-5408	156	9	4	4	NUM
ejpam-5408	156	10	)	)	PUNCT
ejpam-5408	156	11	(	(	PUNCT
ejpam-5408	156	12	2024	2024	NUM
ejpam-5408	156	13	)	)	PUNCT
ejpam-5408	156	14	,	,	PUNCT
ejpam-5408	156	15	2467	2467	NUM
ejpam-5408	156	16	-	-	SYM
ejpam-5408	156	17	2480	2480	NUM
ejpam-5408	156	18	2474	2474	NUM
ejpam-5408	156	19	a3	a3	NOUN
ejpam-5408	156	20	=	=	SYM
ejpam-5408	156	21	2α2x3	2α2x3	PROPN
ejpam-5408	156	22	(	(	PUNCT
ejpam-5408	156	23	c2	c2	PROPN
ejpam-5408	156	24	+	+	CCONJ
ejpam-5408	156	25	d2	d2	PROPN
ejpam-5408	156	26	)	)	PUNCT
ejpam-5408	156	27	x2	x2	PROPN
ejpam-5408	157	1	[	[	PUNCT
ejpam-5408	157	2	4γ	4γ	X
ejpam-5408	158	1	[	[	X
ejpam-5408	158	2	̃2]q(ν	̃2]q(ν	X
ejpam-5408	158	3	−	−	NUM
ejpam-5408	158	4	1	1	NUM
ejpam-5408	158	5	)	)	PUNCT
ejpam-5408	158	6	+	+	NUM
ejpam-5408	158	7	4γ	4γ	NOUN
ejpam-5408	158	8	[	[	X
ejpam-5408	158	9	̃3]q	̃3]q	VERB
ejpam-5408	158	10	+	+	NUM
ejpam-5408	158	11	2ν(ν	2ν(ν	NUM
ejpam-5408	158	12	−	−	NOUN
ejpam-5408	158	13	2γ	2γ	NOUN
ejpam-5408	158	14	+	+	X
ejpam-5408	158	15	1	1	X
ejpam-5408	158	16	)	)	PUNCT
ejpam-5408	158	17	+	+	NUM
ejpam-5408	158	18	4[̃2]q	4[̃2]q	PRON
ejpam-5408	159	1	[	[	X
ejpam-5408	159	2	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	159	3	2(1	2(1	NUM
ejpam-5408	159	4	+	+	CCONJ
ejpam-5408	159	5	α)υ	α)υ	ADJ
ejpam-5408	159	6	]	]	PUNCT
ejpam-5408	160	1	+	+	CCONJ
ejpam-5408	160	2	(	(	PUNCT
ejpam-5408	160	3	1	1	NUM
ejpam-5408	160	4	+	+	X
ejpam-5408	160	5	2x)υ	2x)υ	NUM
ejpam-5408	160	6	+	+	NUM
ejpam-5408	160	7	αx	αx	PRON
ejpam-5408	160	8	(	(	PUNCT
ejpam-5408	160	9	c2	c2	PROPN
ejpam-5408	160	10	−	−	PROPN
ejpam-5408	160	11	d2	d2	PROPN
ejpam-5408	160	12	)	)	PUNCT
ejpam-5408	160	13	2	2	NUM
ejpam-5408	160	14	[	[	PUNCT
ejpam-5408	160	15	γ	γ	X
ejpam-5408	160	16	[	[	X
ejpam-5408	160	17	̃3]q	̃3]q	PROPN
ejpam-5408	160	18	−	−	PROPN
ejpam-5408	160	19	(	(	PUNCT
ejpam-5408	160	20	γ	γ	NOUN
ejpam-5408	160	21	−	−	NOUN
ejpam-5408	160	22	ν	ν	PROPN
ejpam-5408	160	23	)	)	PUNCT
ejpam-5408	160	24	+	+	CCONJ
ejpam-5408	161	1	[	[	X
ejpam-5408	161	2	̃2]q	̃2]q	X
ejpam-5408	161	3	[	[	X
ejpam-5408	161	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	161	5	]	]	PUNCT
ejpam-5408	161	6	.	.	PUNCT
ejpam-5408	162	1	(	(	PUNCT
ejpam-5408	162	2	30	30	NUM
ejpam-5408	162	3	)	)	PUNCT
ejpam-5408	162	4	this	this	PRON
ejpam-5408	162	5	concludes	conclude	VERB
ejpam-5408	162	6	the	the	DET
ejpam-5408	162	7	proof	proof	NOUN
ejpam-5408	162	8	of	of	ADP
ejpam-5408	162	9	theorem	theorem	NOUN
ejpam-5408	162	10	1	1	NUM
ejpam-5408	162	11	.	.	NOUN
ejpam-5408	162	12	4	4	NUM
ejpam-5408	162	13	.	.	X
ejpam-5408	163	1	the	the	DET
ejpam-5408	163	2	fekete	fekete	PROPN
ejpam-5408	163	3	-	-	PUNCT
ejpam-5408	163	4	szegö	szegö	ADJ
ejpam-5408	163	5	inequality	inequality	NOUN
ejpam-5408	163	6	|a3	|a3	NOUN
ejpam-5408	163	7	−	−	PROPN
ejpam-5408	163	8	φa22|	φa22|	NOUN
ejpam-5408	163	9	theorem	theorem	VERB
ejpam-5408	163	10	2	2	NUM
ejpam-5408	163	11	.	.	PUNCT
ejpam-5408	164	1	if	if	SCONJ
ejpam-5408	164	2	f	f	PROPN
ejpam-5408	164	3	∈	∈	PROPN
ejpam-5408	164	4	b̃q	b̃q	X
ejpam-5408	164	5	σ(t	σ(t	PROPN
ejpam-5408	164	6	,	,	PUNCT
ejpam-5408	164	7	γ	γ	X
ejpam-5408	164	8	,	,	PUNCT
ejpam-5408	164	9	ν	ν	PROPN
ejpam-5408	164	10	,	,	PUNCT
ejpam-5408	164	11	ϵ	ϵ	NOUN
ejpam-5408	164	12	)	)	PUNCT
ejpam-5408	164	13	,	,	PUNCT
ejpam-5408	164	14	then	then	ADV
ejpam-5408	164	15	∣∣a3	∣∣a3	ADP
ejpam-5408	164	16	−	−	PRON
ejpam-5408	164	17	φa22	φa22	PROPN
ejpam-5408	164	18	∣∣	∣∣	NUM
ejpam-5408	164	19	≤	≤	ADV
ejpam-5408	164	20			PROPN
ejpam-5408	164	21	αx	αx	ADV
ejpam-5408	164	22	γ	γ	X
ejpam-5408	164	23	[	[	X
ejpam-5408	164	24	̃3]q−(γ−ν)+[̃2]q	̃3]q−(γ−ν)+[̃2]q	PRON
ejpam-5408	164	25	[	[	X
ejpam-5408	164	26	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	164	27	if	if	SCONJ
ejpam-5408	164	28	0	0	NUM
ejpam-5408	164	29	≤	≤	NUM
ejpam-5408	164	30	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	164	31	≤	≤	NUM
ejpam-5408	164	32	1	1	NUM
ejpam-5408	164	33	2	2	NUM
ejpam-5408	164	34	[	[	PUNCT
ejpam-5408	164	35	γ	γ	X
ejpam-5408	164	36	[	[	X
ejpam-5408	164	37	̃3]q−(γ−ν)+[̃2]q	̃3]q−(γ−ν)+[̃2]q	PRON
ejpam-5408	164	38	[	[	X
ejpam-5408	164	39	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	164	40	]	]	PUNCT
ejpam-5408	164	41	,	,	PUNCT
ejpam-5408	164	42	2αx	2αx	PROPN
ejpam-5408	164	43	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	164	44	if	if	SCONJ
ejpam-5408	164	45	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	164	46	≥	≥	VERB
ejpam-5408	164	47	1	1	NUM
ejpam-5408	164	48	2	2	NUM
ejpam-5408	164	49	[	[	PUNCT
ejpam-5408	164	50	γ	γ	X
ejpam-5408	164	51	[	[	X
ejpam-5408	164	52	̃3]q−(γ−ν)+[̃2]q	̃3]q−(γ−ν)+[̃2]q	PRON
ejpam-5408	164	53	[	[	X
ejpam-5408	164	54	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	164	55	]	]	PUNCT
ejpam-5408	164	56	,	,	PUNCT
ejpam-5408	164	57	where	where	SCONJ
ejpam-5408	164	58	h(φ	h(φ	ADJ
ejpam-5408	164	59	)	)	PUNCT
ejpam-5408	164	60	=	=	PUNCT
ejpam-5408	164	61	2(1−	2(1−	NUM
ejpam-5408	164	62	φ)αx2	φ)αx2	NOUN
ejpam-5408	164	63	αx2	αx2	NOUN
ejpam-5408	164	64	[	[	PUNCT
ejpam-5408	164	65	4γ	4γ	X
ejpam-5408	165	1	[	[	X
ejpam-5408	165	2	̃2]q(ν	̃2]q(ν	X
ejpam-5408	165	3	−	−	NUM
ejpam-5408	165	4	1	1	NUM
ejpam-5408	165	5	)	)	PUNCT
ejpam-5408	165	6	+	+	NUM
ejpam-5408	165	7	4γ	4γ	NOUN
ejpam-5408	165	8	[	[	X
ejpam-5408	165	9	̃3]q	̃3]q	VERB
ejpam-5408	165	10	+	+	NUM
ejpam-5408	165	11	2ν(ν	2ν(ν	NUM
ejpam-5408	165	12	−	−	NOUN
ejpam-5408	165	13	2γ	2γ	NOUN
ejpam-5408	165	14	+	+	X
ejpam-5408	165	15	1	1	X
ejpam-5408	165	16	)	)	PUNCT
ejpam-5408	165	17	+	+	NUM
ejpam-5408	165	18	4[̃2]q	4[̃2]q	PRON
ejpam-5408	166	1	[	[	X
ejpam-5408	166	2	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	166	3	2(1	2(1	NUM
ejpam-5408	166	4	+	+	CCONJ
ejpam-5408	166	5	(	(	PUNCT
ejpam-5408	166	6	1	1	NUM
ejpam-5408	166	7	/	/	SYM
ejpam-5408	166	8	α))υ	α))υ	NOUN
ejpam-5408	166	9	]	]	X
ejpam-5408	167	1	+	+	CCONJ
ejpam-5408	167	2	(	(	PUNCT
ejpam-5408	167	3	1	1	NUM
ejpam-5408	167	4	+	+	SYM
ejpam-5408	167	5	2x)υ	2x)υ	NUM
ejpam-5408	167	6	,	,	PUNCT
ejpam-5408	167	7	and	and	CCONJ
ejpam-5408	167	8	υ	υ	NOUN
ejpam-5408	167	9	:	:	PUNCT
ejpam-5408	167	10	=	=	SYM
ejpam-5408	167	11	(	(	PUNCT
ejpam-5408	167	12	ν	ν	X
ejpam-5408	167	13	−	−	PROPN
ejpam-5408	167	14	γ	γ	X
ejpam-5408	167	15	+	+	PROPN
ejpam-5408	168	1	[	[	X
ejpam-5408	168	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	168	3	+	+	CCONJ
ejpam-5408	168	4	ζϵ	ζϵ	NOUN
ejpam-5408	168	5	)	)	PUNCT
ejpam-5408	168	6	)	)	PUNCT
ejpam-5408	168	7	2	2	X
ejpam-5408	168	8	.	.	PUNCT
ejpam-5408	169	1	proof	proof	NOUN
ejpam-5408	169	2	:	:	PUNCT
ejpam-5408	169	3	consider	consider	VERB
ejpam-5408	169	4	f	f	PROPN
ejpam-5408	169	5	in	in	ADP
ejpam-5408	169	6	bα	bα	PROPN
ejpam-5408	169	7	σ(x	σ(x	PROPN
ejpam-5408	169	8	,	,	PUNCT
ejpam-5408	169	9	τ	τ	PROPN
ejpam-5408	169	10	,	,	PUNCT
ejpam-5408	169	11	γ	γ	X
ejpam-5408	169	12	,	,	PUNCT
ejpam-5408	169	13	ν	ν	PROPN
ejpam-5408	169	14	,	,	PUNCT
ejpam-5408	169	15	ϵ	ϵ	NOUN
ejpam-5408	169	16	)	)	PUNCT
ejpam-5408	169	17	,	,	PUNCT
ejpam-5408	169	18	then	then	ADV
ejpam-5408	169	19	by	by	ADP
ejpam-5408	169	20	(	(	PUNCT
ejpam-5408	169	21	29	29	NUM
ejpam-5408	169	22	)	)	PUNCT
ejpam-5408	169	23	we	we	PRON
ejpam-5408	169	24	obtain	obtain	VERB
ejpam-5408	169	25	a3	a3	NOUN
ejpam-5408	169	26	−	−	PROPN
ejpam-5408	169	27	φa22	φa22	PROPN
ejpam-5408	169	28	=	=	PUNCT
ejpam-5408	169	29	a22	a22	PROPN
ejpam-5408	170	1	+	+	CCONJ
ejpam-5408	170	2	cα	cα	PROPN
ejpam-5408	170	3	1	1	NUM
ejpam-5408	170	4	(	(	PUNCT
ejpam-5408	170	5	x	x	NOUN
ejpam-5408	170	6	)	)	PUNCT
ejpam-5408	170	7	4	4	NUM
ejpam-5408	170	8	[	[	PUNCT
ejpam-5408	170	9	γ	γ	X
ejpam-5408	170	10	[	[	X
ejpam-5408	170	11	̃3]q	̃3]q	PROPN
ejpam-5408	170	12	−	−	PROPN
ejpam-5408	170	13	(	(	PUNCT
ejpam-5408	170	14	γ	γ	NOUN
ejpam-5408	170	15	−	−	NOUN
ejpam-5408	170	16	ν	ν	PROPN
ejpam-5408	170	17	)	)	PUNCT
ejpam-5408	171	1	+	+	CCONJ
ejpam-5408	172	1	[	[	X
ejpam-5408	172	2	̃2]q	̃2]q	X
ejpam-5408	172	3	[	[	X
ejpam-5408	172	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	172	5	]	]	PUNCT
ejpam-5408	172	6	(	(	PUNCT
ejpam-5408	172	7	c2	c2	PROPN
ejpam-5408	172	8	−	−	PROPN
ejpam-5408	172	9	d2)−	d2)−	VERB
ejpam-5408	172	10	φa22	φa22	PROPN
ejpam-5408	172	11	=	=	SYM
ejpam-5408	172	12	(	(	PUNCT
ejpam-5408	172	13	1−	1−	NUM
ejpam-5408	172	14	φ)a22	φ)a22	NOUN
ejpam-5408	173	1	+	+	CCONJ
ejpam-5408	173	2	cα	cα	PROPN
ejpam-5408	173	3	1	1	NUM
ejpam-5408	173	4	(	(	PUNCT
ejpam-5408	173	5	x	x	NOUN
ejpam-5408	173	6	)	)	PUNCT
ejpam-5408	173	7	4	4	NUM
ejpam-5408	173	8	[	[	PUNCT
ejpam-5408	173	9	γ	γ	X
ejpam-5408	173	10	[	[	X
ejpam-5408	173	11	̃3]q	̃3]q	PROPN
ejpam-5408	173	12	−	−	PROPN
ejpam-5408	173	13	(	(	PUNCT
ejpam-5408	173	14	γ	γ	NOUN
ejpam-5408	173	15	−	−	NOUN
ejpam-5408	173	16	ν	ν	PROPN
ejpam-5408	173	17	)	)	PUNCT
ejpam-5408	174	1	+	+	CCONJ
ejpam-5408	175	1	[	[	X
ejpam-5408	175	2	̃2]q	̃2]q	X
ejpam-5408	175	3	[	[	X
ejpam-5408	175	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	175	5	]	]	PUNCT
ejpam-5408	175	6	(	(	PUNCT
ejpam-5408	175	7	c2	c2	PROPN
ejpam-5408	175	8	−	−	PROPN
ejpam-5408	175	9	d2	d2	PROPN
ejpam-5408	175	10	)	)	PUNCT
ejpam-5408	175	11	.	.	PUNCT
ejpam-5408	176	1	m.	m.	NOUN
ejpam-5408	176	2	illafe	illafe	ADJ
ejpam-5408	176	3	et	et	PROPN
ejpam-5408	176	4	al	al	PROPN
ejpam-5408	176	5	.	.	PUNCT
ejpam-5408	176	6	/	/	SYM
ejpam-5408	176	7	eur	eur	PROPN
ejpam-5408	176	8	.	.	PUNCT
ejpam-5408	177	1	j.	j.	PROPN
ejpam-5408	177	2	pure	pure	PROPN
ejpam-5408	177	3	appl	appl	PROPN
ejpam-5408	177	4	.	.	PROPN
ejpam-5408	177	5	math	math	PROPN
ejpam-5408	177	6	,	,	PUNCT
ejpam-5408	177	7	17	17	NUM
ejpam-5408	177	8	(	(	PUNCT
ejpam-5408	177	9	4	4	NUM
ejpam-5408	177	10	)	)	PUNCT
ejpam-5408	177	11	(	(	PUNCT
ejpam-5408	177	12	2024	2024	NUM
ejpam-5408	177	13	)	)	PUNCT
ejpam-5408	177	14	,	,	PUNCT
ejpam-5408	177	15	2467	2467	NUM
ejpam-5408	177	16	-	-	SYM
ejpam-5408	177	17	2480	2480	NUM
ejpam-5408	177	18	2475	2475	NUM
ejpam-5408	177	19	then	then	ADV
ejpam-5408	177	20	,	,	PUNCT
ejpam-5408	177	21	in	in	ADP
ejpam-5408	177	22	view	view	NOUN
ejpam-5408	177	23	of	of	ADP
ejpam-5408	177	24	(	(	PUNCT
ejpam-5408	177	25	3	3	NUM
ejpam-5408	177	26	)	)	PUNCT
ejpam-5408	177	27	,	,	PUNCT
ejpam-5408	177	28	and	and	CCONJ
ejpam-5408	177	29	the	the	DET
ejpam-5408	177	30	value	value	NOUN
ejpam-5408	177	31	of	of	ADP
ejpam-5408	177	32	a2	a2	PROPN
ejpam-5408	177	33	in	in	ADP
ejpam-5408	177	34	equation	equation	NOUN
ejpam-5408	177	35	(	(	PUNCT
ejpam-5408	177	36	27	27	NUM
ejpam-5408	177	37	)	)	PUNCT
ejpam-5408	177	38	,	,	PUNCT
ejpam-5408	177	39	we	we	PRON
ejpam-5408	177	40	have	have	AUX
ejpam-5408	177	41	a3	a3	VERB
ejpam-5408	177	42	−	−	PROPN
ejpam-5408	177	43	φa22	φa22	PROPN
ejpam-5408	177	44	=	=	PUNCT
ejpam-5408	177	45	2(1−	2(1−	NUM
ejpam-5408	177	46	φ)α2x3(c2	φ)α2x3(c2	ADJ
ejpam-5408	177	47	+	+	CCONJ
ejpam-5408	177	48	d2	d2	PROPN
ejpam-5408	177	49	)	)	PUNCT
ejpam-5408	177	50	αx2	αx2	NOUN
ejpam-5408	177	51	[	[	PUNCT
ejpam-5408	177	52	4γ	4γ	X
ejpam-5408	177	53	[	[	X
ejpam-5408	177	54	̃2]q(ν	̃2]q(ν	X
ejpam-5408	177	55	−	−	NUM
ejpam-5408	178	1	1	1	NUM
ejpam-5408	178	2	)	)	PUNCT
ejpam-5408	178	3	+	+	NUM
ejpam-5408	178	4	4γ	4γ	NOUN
ejpam-5408	178	5	[	[	X
ejpam-5408	178	6	̃3]q	̃3]q	VERB
ejpam-5408	178	7	+	+	NUM
ejpam-5408	178	8	2ν(ν	2ν(ν	NUM
ejpam-5408	178	9	−	−	NOUN
ejpam-5408	178	10	2γ	2γ	NOUN
ejpam-5408	178	11	+	+	X
ejpam-5408	178	12	1	1	X
ejpam-5408	178	13	)	)	PUNCT
ejpam-5408	178	14	+	+	NUM
ejpam-5408	178	15	4[̃2]q	4[̃2]q	PRON
ejpam-5408	179	1	[	[	X
ejpam-5408	179	2	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	179	3	2(1	2(1	NUM
ejpam-5408	179	4	+	+	CCONJ
ejpam-5408	179	5	(	(	PUNCT
ejpam-5408	179	6	1	1	NUM
ejpam-5408	179	7	/	/	SYM
ejpam-5408	179	8	α))υ	α))υ	NOUN
ejpam-5408	179	9	]	]	X
ejpam-5408	180	1	+	+	ADJ
ejpam-5408	180	2	(	(	PUNCT
ejpam-5408	180	3	1	1	NUM
ejpam-5408	180	4	+	+	SYM
ejpam-5408	180	5	2x)υ	2x)υ	NUM
ejpam-5408	180	6	+	+	CCONJ
ejpam-5408	180	7	αx	αx	ADV
ejpam-5408	180	8	2	2	NUM
ejpam-5408	180	9	[	[	PUNCT
ejpam-5408	180	10	γ	γ	X
ejpam-5408	180	11	[	[	X
ejpam-5408	180	12	̃3]q	̃3]q	PROPN
ejpam-5408	180	13	−	−	PROPN
ejpam-5408	180	14	(	(	PUNCT
ejpam-5408	180	15	γ	γ	NOUN
ejpam-5408	180	16	−	−	NOUN
ejpam-5408	180	17	ν	ν	PROPN
ejpam-5408	180	18	)	)	PUNCT
ejpam-5408	180	19	+	+	CCONJ
ejpam-5408	181	1	[	[	X
ejpam-5408	181	2	̃2]q	̃2]q	X
ejpam-5408	181	3	[	[	X
ejpam-5408	181	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	181	5	]	]	PUNCT
ejpam-5408	181	6	(	(	PUNCT
ejpam-5408	181	7	c2	c2	PROPN
ejpam-5408	181	8	−	−	PROPN
ejpam-5408	181	9	d2	d2	PROPN
ejpam-5408	181	10	)	)	PUNCT
ejpam-5408	181	11	=	=	PUNCT
ejpam-5408	182	1	αx	αx	NOUN
ejpam-5408	182	2	(	(	PUNCT
ejpam-5408	182	3	[	[	PUNCT
ejpam-5408	182	4	h(φ	h(φ	ADJ
ejpam-5408	182	5	)	)	PUNCT
ejpam-5408	182	6	+	+	CCONJ
ejpam-5408	182	7	1	1	NUM
ejpam-5408	182	8	2	2	NUM
ejpam-5408	182	9	[	[	PUNCT
ejpam-5408	182	10	γ	γ	X
ejpam-5408	182	11	[	[	X
ejpam-5408	182	12	̃3]q	̃3]q	PROPN
ejpam-5408	182	13	−	−	PROPN
ejpam-5408	182	14	(	(	PUNCT
ejpam-5408	182	15	γ	γ	NOUN
ejpam-5408	182	16	−	−	NOUN
ejpam-5408	182	17	ν	ν	PROPN
ejpam-5408	182	18	)	)	PUNCT
ejpam-5408	182	19	+	+	CCONJ
ejpam-5408	183	1	[	[	X
ejpam-5408	183	2	̃2]q	̃2]q	X
ejpam-5408	183	3	[	[	X
ejpam-5408	183	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	183	5	]	]	X
ejpam-5408	183	6	]	]	X
ejpam-5408	183	7	c2	c2	PROPN
ejpam-5408	183	8	+	+	CCONJ
ejpam-5408	183	9	[	[	PUNCT
ejpam-5408	183	10	h(φ)−	h(φ)−	NOUN
ejpam-5408	183	11	1	1	NUM
ejpam-5408	183	12	2	2	NUM
ejpam-5408	183	13	[	[	PUNCT
ejpam-5408	183	14	γ	γ	X
ejpam-5408	183	15	[	[	X
ejpam-5408	183	16	̃3]q	̃3]q	PROPN
ejpam-5408	183	17	−	−	PROPN
ejpam-5408	183	18	(	(	PUNCT
ejpam-5408	183	19	γ	γ	NOUN
ejpam-5408	183	20	−	−	NOUN
ejpam-5408	183	21	ν	ν	PROPN
ejpam-5408	183	22	)	)	PUNCT
ejpam-5408	183	23	+	+	CCONJ
ejpam-5408	184	1	[	[	X
ejpam-5408	184	2	̃2]q	̃2]q	X
ejpam-5408	184	3	[	[	X
ejpam-5408	184	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	184	5	]	]	X
ejpam-5408	184	6	]	]	X
ejpam-5408	184	7	d2	d2	NOUN
ejpam-5408	184	8	)	)	PUNCT
ejpam-5408	184	9	,	,	PUNCT
ejpam-5408	184	10	where	where	SCONJ
ejpam-5408	184	11	υ	υ	NOUN
ejpam-5408	184	12	:	:	PUNCT
ejpam-5408	184	13	=	=	SYM
ejpam-5408	184	14	(	(	PUNCT
ejpam-5408	184	15	ν	ν	X
ejpam-5408	184	16	−	−	PROPN
ejpam-5408	184	17	γ	γ	X
ejpam-5408	184	18	+	+	PROPN
ejpam-5408	184	19	[	[	X
ejpam-5408	184	20	̃2]q(γ	̃2]q(γ	X
ejpam-5408	184	21	+	+	CCONJ
ejpam-5408	184	22	ζϵ	ζϵ	NOUN
ejpam-5408	184	23	)	)	PUNCT
ejpam-5408	184	24	)	)	PUNCT
ejpam-5408	184	25	2	2	NUM
ejpam-5408	184	26	,	,	PUNCT
ejpam-5408	184	27	and	and	CCONJ
ejpam-5408	184	28	h(φ	h(φ	ADJ
ejpam-5408	184	29	)	)	PUNCT
ejpam-5408	184	30	=	=	PUNCT
ejpam-5408	184	31	2(1−	2(1−	NUM
ejpam-5408	184	32	φ)αx2	φ)αx2	NOUN
ejpam-5408	184	33	αx2	αx2	NOUN
ejpam-5408	184	34	[	[	PUNCT
ejpam-5408	184	35	4γ	4γ	X
ejpam-5408	184	36	[	[	X
ejpam-5408	184	37	̃2]q(ν	̃2]q(ν	X
ejpam-5408	184	38	−	−	NUM
ejpam-5408	184	39	1	1	NUM
ejpam-5408	184	40	)	)	PUNCT
ejpam-5408	184	41	+	+	NUM
ejpam-5408	184	42	4γ	4γ	NOUN
ejpam-5408	185	1	[	[	X
ejpam-5408	185	2	̃3]q	̃3]q	VERB
ejpam-5408	185	3	+	+	NUM
ejpam-5408	185	4	2ν(ν	2ν(ν	NUM
ejpam-5408	185	5	−	−	NOUN
ejpam-5408	185	6	2γ	2γ	NOUN
ejpam-5408	185	7	+	+	X
ejpam-5408	185	8	1	1	X
ejpam-5408	185	9	)	)	PUNCT
ejpam-5408	185	10	+	+	NUM
ejpam-5408	185	11	4[̃2]q	4[̃2]q	PRON
ejpam-5408	186	1	[	[	X
ejpam-5408	186	2	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	186	3	2(1	2(1	NUM
ejpam-5408	186	4	+	+	CCONJ
ejpam-5408	186	5	(	(	PUNCT
ejpam-5408	186	6	1	1	NUM
ejpam-5408	186	7	/	/	SYM
ejpam-5408	186	8	α))υ	α))υ	NOUN
ejpam-5408	186	9	]	]	X
ejpam-5408	187	1	+	+	CCONJ
ejpam-5408	187	2	(	(	PUNCT
ejpam-5408	187	3	1	1	NUM
ejpam-5408	187	4	+	+	SYM
ejpam-5408	187	5	2x)υ	2x)υ	NUM
ejpam-5408	187	6	.	.	PUNCT
ejpam-5408	188	1	this	this	PRON
ejpam-5408	188	2	completes	complete	VERB
ejpam-5408	188	3	the	the	DET
ejpam-5408	188	4	proof	proof	NOUN
ejpam-5408	188	5	of	of	ADP
ejpam-5408	188	6	theorem	theorem	NOUN
ejpam-5408	188	7	2	2	NUM
ejpam-5408	188	8	.	.	NOUN
ejpam-5408	188	9	5	5	NUM
ejpam-5408	188	10	.	.	NOUN
ejpam-5408	188	11	consequences	consequence	NOUN
ejpam-5408	188	12	and	and	CCONJ
ejpam-5408	188	13	corollaries	corollary	NOUN
ejpam-5408	188	14	corollary	corollary	ADJ
ejpam-5408	188	15	1	1	NUM
ejpam-5408	188	16	.	.	PUNCT
ejpam-5408	189	1	if	if	SCONJ
ejpam-5408	189	2	f	f	PROPN
ejpam-5408	189	3	∈	∈	PROPN
ejpam-5408	189	4	1b̃q	1b̃q	NUM
ejpam-5408	189	5	σ(t	σ(t	NOUN
ejpam-5408	189	6	,	,	PUNCT
ejpam-5408	189	7	γ	γ	X
ejpam-5408	189	8	,	,	PUNCT
ejpam-5408	189	9	ν	ν	NOUN
ejpam-5408	189	10	)	)	PUNCT
ejpam-5408	189	11	,	,	PUNCT
ejpam-5408	189	12	then	then	ADV
ejpam-5408	189	13	|a2|	|a2|	VERB
ejpam-5408	189	14	≤	≤	ADJ
ejpam-5408	189	15	2αx	2αx	ADJ
ejpam-5408	189	16	√	√	ADP
ejpam-5408	189	17	x√√√√√√√	x√√√√√√√	PROPN
ejpam-5408	189	18	∣∣∣∣x2[α(2[̃2]qγ	∣∣∣∣x2[α(2[̃2]qγ	PROPN
ejpam-5408	189	19	(	(	PUNCT
ejpam-5408	189	20	ν	ν	X
ejpam-5408	189	21	−	−	NOUN
ejpam-5408	189	22	1	1	NUM
ejpam-5408	189	23	)	)	PUNCT
ejpam-5408	189	24	+	+	CCONJ
ejpam-5408	189	25	2[̃3]qγ	2[̃3]qγ	NUM
ejpam-5408	189	26	+	+	CCONJ
ejpam-5408	189	27	ν	ν	NOUN
ejpam-5408	189	28	(	(	PUNCT
ejpam-5408	189	29	ν	ν	X
ejpam-5408	189	30	−	−	NOUN
ejpam-5408	189	31	2γ	2γ	NOUN
ejpam-5408	189	32	+	+	X
ejpam-5408	189	33	1	1	NUM
ejpam-5408	189	34	)	)	PUNCT
ejpam-5408	189	35	)	)	PUNCT
ejpam-5408	190	1	−	−	ADP
ejpam-5408	190	2	2	2	NUM
ejpam-5408	190	3	(	(	PUNCT
ejpam-5408	190	4	1	1	NUM
ejpam-5408	190	5	+	+	NUM
ejpam-5408	190	6	α	α	X
ejpam-5408	190	7	)	)	PUNCT
ejpam-5408	190	8	(	(	PUNCT
ejpam-5408	190	9	ν	ν	X
ejpam-5408	190	10	−	−	PROPN
ejpam-5408	190	11	γ	γ	X
ejpam-5408	190	12	+	+	X
ejpam-5408	190	13	[	[	X
ejpam-5408	190	14	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	190	15	)	)	PUNCT
ejpam-5408	190	16	2	2	NUM
ejpam-5408	190	17	]	]	PUNCT
ejpam-5408	191	1	+	+	ADJ
ejpam-5408	191	2	(	(	PUNCT
ejpam-5408	191	3	1	1	NUM
ejpam-5408	191	4	+	+	NUM
ejpam-5408	191	5	2x	2x	NUM
ejpam-5408	191	6	)	)	PUNCT
ejpam-5408	191	7	(	(	PUNCT
ejpam-5408	191	8	ν	ν	X
ejpam-5408	191	9	−	−	PROPN
ejpam-5408	191	10	γ	γ	X
ejpam-5408	191	11	+	+	X
ejpam-5408	191	12	[	[	X
ejpam-5408	191	13	̃2]qγ	̃2]qγ	VERB
ejpam-5408	191	14	)	)	SYM
ejpam-5408	191	15	2	2	NUM
ejpam-5408	191	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5408	191	17	,	,	PUNCT
ejpam-5408	191	18	|a3|	|a3|	VERB
ejpam-5408	191	19	≤	≤	ADJ
ejpam-5408	191	20	2[̃3]qγx	2[̃3]qγx	NUM
ejpam-5408	191	21	2α2	2α2	NUM
ejpam-5408	191	22	(	(	PUNCT
ejpam-5408	191	23	ν	ν	X
ejpam-5408	191	24	−	−	PROPN
ejpam-5408	191	25	γ	γ	X
ejpam-5408	191	26	+	+	X
ejpam-5408	191	27	[	[	X
ejpam-5408	191	28	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	191	29	)	)	PUNCT
ejpam-5408	191	30	2	2	NUM
ejpam-5408	191	31	−	−	NOUN
ejpam-5408	191	32	4xα	4xα	NOUN
ejpam-5408	191	33	[	[	PUNCT
ejpam-5408	191	34	γ	γ	X
ejpam-5408	191	35	(	(	PUNCT
ejpam-5408	191	36	[	[	X
ejpam-5408	191	37	̃3]q	̃3]q	VERB
ejpam-5408	191	38	+	+	NUM
ejpam-5408	191	39	ν	ν	NOUN
ejpam-5408	191	40	−	−	NUM
ejpam-5408	191	41	1	1	NUM
ejpam-5408	191	42	)	)	PUNCT
ejpam-5408	191	43	+	+	CCONJ
ejpam-5408	191	44	(	(	PUNCT
ejpam-5408	191	45	1−	1−	NUM
ejpam-5408	191	46	γ	γ	X
ejpam-5408	191	47	)	)	PUNCT
ejpam-5408	191	48	ν	ν	NOUN
ejpam-5408	191	49	]	]	PUNCT
ejpam-5408	191	50	and	and	CCONJ
ejpam-5408	191	51	∣∣a3	∣∣a3	NOUN
ejpam-5408	191	52	−	−	DET
ejpam-5408	191	53	φa22	φa22	PROPN
ejpam-5408	191	54	∣∣	∣∣	NUM
ejpam-5408	191	55	≤	≤	ADV
ejpam-5408	192	1			PROPN
ejpam-5408	192	2	αx	αx	ADV
ejpam-5408	192	3	γ	γ	X
ejpam-5408	192	4	[	[	X
ejpam-5408	192	5	̃3]q−(γ−ν	̃3]q−(γ−ν	ADV
ejpam-5408	192	6	)	)	PUNCT
ejpam-5408	192	7	if	if	SCONJ
ejpam-5408	192	8	0	0	NUM
ejpam-5408	192	9	≤	≤	NUM
ejpam-5408	192	10	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	192	11	≤	≤	NUM
ejpam-5408	192	12	1	1	NUM
ejpam-5408	192	13	2	2	NUM
ejpam-5408	192	14	[	[	PUNCT
ejpam-5408	192	15	γ	γ	X
ejpam-5408	192	16	[	[	X
ejpam-5408	192	17	̃3]q−(γ−ν	̃3]q−(γ−ν	X
ejpam-5408	192	18	)	)	PUNCT
ejpam-5408	192	19	]	]	PUNCT
ejpam-5408	192	20	,	,	PUNCT
ejpam-5408	192	21	2αx	2αx	PROPN
ejpam-5408	192	22	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	192	23	if	if	SCONJ
ejpam-5408	192	24	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	192	25	≥	≥	VERB
ejpam-5408	192	26	1	1	NUM
ejpam-5408	192	27	2	2	NUM
ejpam-5408	192	28	[	[	PUNCT
ejpam-5408	192	29	γ	γ	X
ejpam-5408	192	30	[	[	X
ejpam-5408	192	31	̃3]q−(γ−ν	̃3]q−(γ−ν	PROPN
ejpam-5408	192	32	)	)	PUNCT
ejpam-5408	192	33	]	]	PUNCT
ejpam-5408	192	34	,	,	PUNCT
ejpam-5408	192	35	where	where	SCONJ
ejpam-5408	192	36	m.	m.	NOUN
ejpam-5408	192	37	illafe	illafe	NOUN
ejpam-5408	192	38	et	et	PROPN
ejpam-5408	192	39	al	al	PROPN
ejpam-5408	192	40	.	.	PUNCT
ejpam-5408	192	41	/	/	SYM
ejpam-5408	192	42	eur	eur	PROPN
ejpam-5408	192	43	.	.	PUNCT
ejpam-5408	193	1	j.	j.	PROPN
ejpam-5408	193	2	pure	pure	PROPN
ejpam-5408	193	3	appl	appl	PROPN
ejpam-5408	193	4	.	.	PROPN
ejpam-5408	193	5	math	math	PROPN
ejpam-5408	193	6	,	,	PUNCT
ejpam-5408	193	7	17	17	NUM
ejpam-5408	193	8	(	(	PUNCT
ejpam-5408	193	9	4	4	NUM
ejpam-5408	193	10	)	)	PUNCT
ejpam-5408	193	11	(	(	PUNCT
ejpam-5408	193	12	2024	2024	NUM
ejpam-5408	193	13	)	)	PUNCT
ejpam-5408	193	14	,	,	PUNCT
ejpam-5408	193	15	2467	2467	NUM
ejpam-5408	193	16	-	-	SYM
ejpam-5408	193	17	2480	2480	NUM
ejpam-5408	193	18	2476	2476	NUM
ejpam-5408	193	19	h(φ	h(φ	PROPN
ejpam-5408	193	20	)	)	PUNCT
ejpam-5408	193	21	=	=	PUNCT
ejpam-5408	194	1	2(1−	2(1−	NUM
ejpam-5408	194	2	φ)αx2	φ)αx2	NOUN
ejpam-5408	194	3	αx2	αx2	NOUN
ejpam-5408	194	4	[	[	PUNCT
ejpam-5408	194	5	4γ	4γ	X
ejpam-5408	194	6	[	[	X
ejpam-5408	194	7	̃2]q(ν	̃2]q(ν	X
ejpam-5408	194	8	−	−	NUM
ejpam-5408	194	9	1	1	NUM
ejpam-5408	194	10	)	)	PUNCT
ejpam-5408	194	11	+	+	NUM
ejpam-5408	194	12	4γ	4γ	NOUN
ejpam-5408	194	13	[	[	X
ejpam-5408	194	14	̃3]q	̃3]q	VERB
ejpam-5408	194	15	+	+	NUM
ejpam-5408	194	16	2ν(ν	2ν(ν	NUM
ejpam-5408	194	17	−	−	NOUN
ejpam-5408	194	18	2γ	2γ	NOUN
ejpam-5408	194	19	+	+	X
ejpam-5408	195	1	1)−	1)−	NUM
ejpam-5408	195	2	2(1	2(1	NUM
ejpam-5408	195	3	+	+	CCONJ
ejpam-5408	195	4	(	(	PUNCT
ejpam-5408	195	5	1	1	NUM
ejpam-5408	195	6	/	/	SYM
ejpam-5408	195	7	α	α	NOUN
ejpam-5408	195	8	)	)	PUNCT
ejpam-5408	195	9	)	)	PUNCT
ejpam-5408	196	1	(	(	PUNCT
ejpam-5408	196	2	ν	ν	X
ejpam-5408	196	3	−	−	PROPN
ejpam-5408	196	4	γ	γ	X
ejpam-5408	196	5	+	+	X
ejpam-5408	196	6	[	[	X
ejpam-5408	196	7	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	196	8	)	)	PUNCT
ejpam-5408	196	9	2	2	NUM
ejpam-5408	196	10	]	]	PUNCT
ejpam-5408	196	11	+	+	ADJ
ejpam-5408	196	12	(	(	PUNCT
ejpam-5408	196	13	1	1	NUM
ejpam-5408	196	14	+	+	NUM
ejpam-5408	196	15	2x	2x	NUM
ejpam-5408	196	16	)	)	PUNCT
ejpam-5408	196	17	(	(	PUNCT
ejpam-5408	196	18	ν	ν	X
ejpam-5408	196	19	−	−	PROPN
ejpam-5408	196	20	γ	γ	X
ejpam-5408	196	21	+	+	X
ejpam-5408	196	22	[	[	X
ejpam-5408	196	23	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	196	24	)	)	PUNCT
ejpam-5408	196	25	2	2	NUM
ejpam-5408	196	26	.	.	PUNCT
ejpam-5408	197	1	next	next	ADV
ejpam-5408	197	2	,	,	PUNCT
ejpam-5408	197	3	making	make	VERB
ejpam-5408	197	4	ν	ν	NOUN
ejpam-5408	197	5	=	=	SYM
ejpam-5408	197	6	1	1	NUM
ejpam-5408	197	7	,	,	PUNCT
ejpam-5408	197	8	yields	yield	NOUN
ejpam-5408	197	9	.	.	PUNCT
ejpam-5408	198	1	corollary	corollary	ADJ
ejpam-5408	198	2	2	2	NUM
ejpam-5408	198	3	.	.	PUNCT
ejpam-5408	199	1	if	if	SCONJ
ejpam-5408	199	2	f	f	PROPN
ejpam-5408	199	3	∈	∈	PROPN
ejpam-5408	199	4	2b̃q	2b̃q	NUM
ejpam-5408	199	5	σ(t	σ(t	NOUN
ejpam-5408	199	6	,	,	PUNCT
ejpam-5408	199	7	γ	γ	X
ejpam-5408	199	8	,	,	PUNCT
ejpam-5408	199	9	ϵ	ϵ	NOUN
ejpam-5408	199	10	)	)	PUNCT
ejpam-5408	199	11	,	,	PUNCT
ejpam-5408	199	12	then	then	ADV
ejpam-5408	199	13	|a2|	|a2|	VERB
ejpam-5408	199	14	≤	≤	ADJ
ejpam-5408	199	15	2αx	2αx	NOUN
ejpam-5408	199	16	√	√	ADP
ejpam-5408	199	17	x√√√√√√√	x√√√√√√√	PROPN
ejpam-5408	199	18	∣∣∣∣x2[α(2[̃3]qγ	∣∣∣∣x2[α(2[̃3]qγ	PROPN
ejpam-5408	199	19	+	+	PROPN
ejpam-5408	199	20	2	2	NUM
ejpam-5408	199	21	(	(	PUNCT
ejpam-5408	199	22	1−	1−	NUM
ejpam-5408	199	23	γ	γ	X
ejpam-5408	199	24	)	)	PUNCT
ejpam-5408	200	1	+	+	CCONJ
ejpam-5408	200	2	2[̃2]q	2[̃2]q	NUM
ejpam-5408	200	3	[	[	X
ejpam-5408	200	4	̃3]qζϵ	̃3]qζϵ	NOUN
ejpam-5408	200	5	)	)	PUNCT
ejpam-5408	200	6	−	−	PROPN
ejpam-5408	201	1	2	2	NUM
ejpam-5408	201	2	(	(	PUNCT
ejpam-5408	201	3	1	1	NUM
ejpam-5408	201	4	+	+	NUM
ejpam-5408	201	5	α	α	X
ejpam-5408	201	6	)	)	PUNCT
ejpam-5408	201	7	(	(	PUNCT
ejpam-5408	201	8	1−	1−	NUM
ejpam-5408	201	9	γ	γ	X
ejpam-5408	201	10	+	+	PROPN
ejpam-5408	202	1	[	[	X
ejpam-5408	202	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	202	3	+	+	CCONJ
ejpam-5408	202	4	ζϵ	ζϵ	NOUN
ejpam-5408	202	5	)	)	PUNCT
ejpam-5408	202	6	)	)	PUNCT
ejpam-5408	202	7	2	2	X
ejpam-5408	202	8	]	]	PUNCT
ejpam-5408	203	1	+	+	ADJ
ejpam-5408	203	2	(	(	PUNCT
ejpam-5408	203	3	1	1	NUM
ejpam-5408	203	4	+	+	NUM
ejpam-5408	203	5	2x	2x	NUM
ejpam-5408	203	6	)	)	PUNCT
ejpam-5408	203	7	(	(	PUNCT
ejpam-5408	203	8	1−	1−	NUM
ejpam-5408	203	9	γ	γ	X
ejpam-5408	203	10	+	+	PROPN
ejpam-5408	204	1	[	[	X
ejpam-5408	204	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	204	3	+	+	CCONJ
ejpam-5408	204	4	ζϵ	ζϵ	NOUN
ejpam-5408	204	5	)	)	PUNCT
ejpam-5408	204	6	)	)	PUNCT
ejpam-5408	204	7	2	2	NUM
ejpam-5408	204	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5408	204	9	,	,	PUNCT
ejpam-5408	204	10	|a3|	|a3|	VERB
ejpam-5408	204	11	≤	≤	ADV
ejpam-5408	204	12	2	2	NUM
ejpam-5408	204	13	[	[	PUNCT
ejpam-5408	204	14	[	[	X
ejpam-5408	204	15	̃3]qγ	̃3]qγ	ADP
ejpam-5408	204	16	−	−	PROPN
ejpam-5408	205	1	[	[	X
ejpam-5408	205	2	̃2]qζϵ	̃2]qζϵ	X
ejpam-5408	205	3	]	]	PUNCT
ejpam-5408	205	4	x2α2	x2α2	PROPN
ejpam-5408	205	5	(	(	PUNCT
ejpam-5408	205	6	1−	1−	NUM
ejpam-5408	205	7	γ	γ	X
ejpam-5408	205	8	+	+	PROPN
ejpam-5408	206	1	[	[	X
ejpam-5408	206	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	206	3	+	+	CCONJ
ejpam-5408	206	4	ζϵ	ζϵ	NOUN
ejpam-5408	206	5	)	)	PUNCT
ejpam-5408	206	6	)	)	PUNCT
ejpam-5408	206	7	2	2	NUM
ejpam-5408	206	8	−	−	NOUN
ejpam-5408	206	9	4αx	4αx	NOUN
ejpam-5408	206	10	[	[	PUNCT
ejpam-5408	206	11	[	[	X
ejpam-5408	206	12	̃3]qγ	̃3]qγ	PROPN
ejpam-5408	206	13	+	+	NOUN
ejpam-5408	206	14	1−	1−	NUM
ejpam-5408	206	15	γ	γ	X
ejpam-5408	206	16	+	+	PROPN
ejpam-5408	207	1	[	[	X
ejpam-5408	207	2	̃2]q	̃2]q	X
ejpam-5408	207	3	[	[	X
ejpam-5408	207	4	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	207	5	]	]	PUNCT
ejpam-5408	207	6	and	and	CCONJ
ejpam-5408	207	7	∣∣a3	∣∣a3	NOUN
ejpam-5408	207	8	−	−	DET
ejpam-5408	207	9	φa22	φa22	PROPN
ejpam-5408	207	10	∣∣	∣∣	NUM
ejpam-5408	207	11	≤	≤	ADV
ejpam-5408	207	12			PROPN
ejpam-5408	207	13	αx	αx	ADV
ejpam-5408	207	14	γ	γ	X
ejpam-5408	207	15	[	[	X
ejpam-5408	207	16	̃3]q−(γ−1)+[̃2]q	̃3]q−(γ−1)+[̃2]q	X
ejpam-5408	207	17	[	[	X
ejpam-5408	207	18	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	207	19	if	if	SCONJ
ejpam-5408	207	20	0	0	NUM
ejpam-5408	207	21	≤	≤	NUM
ejpam-5408	207	22	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	207	23	≤	≤	NUM
ejpam-5408	207	24	1	1	NUM
ejpam-5408	207	25	2	2	NUM
ejpam-5408	207	26	[	[	PUNCT
ejpam-5408	207	27	γ	γ	X
ejpam-5408	207	28	[	[	X
ejpam-5408	207	29	̃3]q−(γ−1)+[̃2]q	̃3]q−(γ−1)+[̃2]q	X
ejpam-5408	207	30	[	[	X
ejpam-5408	207	31	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	207	32	]	]	PUNCT
ejpam-5408	207	33	,	,	PUNCT
ejpam-5408	207	34	2αx	2αx	PROPN
ejpam-5408	207	35	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	207	36	if	if	SCONJ
ejpam-5408	207	37	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	207	38	≥	≥	VERB
ejpam-5408	207	39	1	1	NUM
ejpam-5408	207	40	2	2	NUM
ejpam-5408	207	41	[	[	PUNCT
ejpam-5408	207	42	γ	γ	X
ejpam-5408	207	43	[	[	X
ejpam-5408	207	44	̃3]q−(γ−1)+[̃2]q	̃3]q−(γ−1)+[̃2]q	X
ejpam-5408	207	45	[	[	X
ejpam-5408	207	46	̃3]qζϵ	̃3]qζϵ	X
ejpam-5408	207	47	]	]	PUNCT
ejpam-5408	207	48	,	,	PUNCT
ejpam-5408	207	49	where	where	SCONJ
ejpam-5408	207	50	h(φ	h(φ	ADJ
ejpam-5408	207	51	)	)	PUNCT
ejpam-5408	207	52	=	=	PUNCT
ejpam-5408	207	53	2(1−	2(1−	NUM
ejpam-5408	207	54	φ)αx2	φ)αx2	NOUN
ejpam-5408	207	55	αx2	αx2	NOUN
ejpam-5408	207	56	[	[	PUNCT
ejpam-5408	207	57	4γ	4γ	NOUN
ejpam-5408	207	58	[	[	X
ejpam-5408	207	59	̃3]q	̃3]q	VERB
ejpam-5408	207	60	+	+	NUM
ejpam-5408	207	61	4(1−	4(1−	NUM
ejpam-5408	207	62	γ	γ	NOUN
ejpam-5408	207	63	)	)	PUNCT
ejpam-5408	207	64	+	+	NUM
ejpam-5408	207	65	4[̃2]q	4[̃2]q	PRON
ejpam-5408	207	66	[	[	X
ejpam-5408	207	67	̃3]qζϵ−	̃3]qζϵ−	NOUN
ejpam-5408	207	68	2(1	2(1	NUM
ejpam-5408	207	69	+	+	CCONJ
ejpam-5408	207	70	(	(	PUNCT
ejpam-5408	207	71	1	1	NUM
ejpam-5408	207	72	/	/	SYM
ejpam-5408	207	73	α	α	NOUN
ejpam-5408	207	74	)	)	PUNCT
ejpam-5408	207	75	)	)	PUNCT
ejpam-5408	208	1	(	(	PUNCT
ejpam-5408	208	2	1−	1−	NUM
ejpam-5408	208	3	γ	γ	X
ejpam-5408	208	4	+	+	PROPN
ejpam-5408	209	1	[	[	X
ejpam-5408	209	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	209	3	+	+	CCONJ
ejpam-5408	209	4	ζϵ	ζϵ	NOUN
ejpam-5408	209	5	)	)	PUNCT
ejpam-5408	209	6	)	)	PUNCT
ejpam-5408	209	7	2	2	X
ejpam-5408	209	8	]	]	PUNCT
ejpam-5408	209	9	+	+	ADJ
ejpam-5408	209	10	(	(	PUNCT
ejpam-5408	209	11	1	1	NUM
ejpam-5408	209	12	+	+	NUM
ejpam-5408	209	13	2x	2x	NUM
ejpam-5408	209	14	)	)	PUNCT
ejpam-5408	209	15	(	(	PUNCT
ejpam-5408	209	16	1−	1−	NUM
ejpam-5408	209	17	γ	γ	X
ejpam-5408	209	18	+	+	PROPN
ejpam-5408	210	1	[	[	X
ejpam-5408	210	2	̃2]q(γ	̃2]q(γ	X
ejpam-5408	210	3	+	+	CCONJ
ejpam-5408	210	4	ζϵ	ζϵ	NOUN
ejpam-5408	210	5	)	)	PUNCT
ejpam-5408	210	6	)	)	PUNCT
ejpam-5408	210	7	2	2	X
ejpam-5408	210	8	.	.	PUNCT
ejpam-5408	211	1	setting	set	VERB
ejpam-5408	211	2	ν	ν	NOUN
ejpam-5408	211	3	=	=	SYM
ejpam-5408	211	4	1	1	NUM
ejpam-5408	211	5	and	and	CCONJ
ejpam-5408	211	6	ϵ	ϵ	X
ejpam-5408	211	7	=	=	SYM
ejpam-5408	211	8	0	0	NUM
ejpam-5408	211	9	,	,	PUNCT
ejpam-5408	211	10	we	we	PRON
ejpam-5408	211	11	obtain	obtain	VERB
ejpam-5408	211	12	the	the	DET
ejpam-5408	211	13	following	follow	VERB
ejpam-5408	211	14	corollary	corollary	NOUN
ejpam-5408	211	15	.	.	PUNCT
ejpam-5408	212	1	corollary	corollary	ADJ
ejpam-5408	212	2	3	3	NUM
ejpam-5408	212	3	.	.	PUNCT
ejpam-5408	213	1	if	if	SCONJ
ejpam-5408	213	2	f	f	PROPN
ejpam-5408	213	3	∈	∈	PROPN
ejpam-5408	213	4	3b̃q	3b̃q	CCONJ
ejpam-5408	213	5	σ(t	σ(t	PROPN
ejpam-5408	213	6	,	,	PUNCT
ejpam-5408	213	7	γ	γ	NOUN
ejpam-5408	213	8	)	)	PUNCT
ejpam-5408	213	9	,	,	PUNCT
ejpam-5408	213	10	then	then	ADV
ejpam-5408	213	11	|a2|	|a2|	VERB
ejpam-5408	213	12	≤	≤	ADJ
ejpam-5408	213	13	2αx	2αx	NOUN
ejpam-5408	213	14	√	√	ADP
ejpam-5408	213	15	x√∣∣∣∣x2	x√∣∣∣∣x2	PUNCT
ejpam-5408	214	1	[	[	X
ejpam-5408	214	2	α(2[̃3]qγ	α(2[̃3]qγ	PROPN
ejpam-5408	214	3	+	+	CCONJ
ejpam-5408	214	4	2	2	NUM
ejpam-5408	214	5	(	(	PUNCT
ejpam-5408	214	6	1−	1−	NUM
ejpam-5408	214	7	γ	γ	NOUN
ejpam-5408	214	8	)	)	PUNCT
ejpam-5408	214	9	)	)	PUNCT
ejpam-5408	215	1	−	−	ADP
ejpam-5408	215	2	2	2	NUM
ejpam-5408	215	3	(	(	PUNCT
ejpam-5408	215	4	1	1	NUM
ejpam-5408	215	5	+	+	NUM
ejpam-5408	215	6	α	α	X
ejpam-5408	215	7	)	)	PUNCT
ejpam-5408	215	8	(	(	PUNCT
ejpam-5408	215	9	1−	1−	NUM
ejpam-5408	215	10	γ	γ	X
ejpam-5408	215	11	+	+	X
ejpam-5408	215	12	[	[	X
ejpam-5408	215	13	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	215	14	)	)	PUNCT
ejpam-5408	215	15	2	2	NUM
ejpam-5408	215	16	]	]	PUNCT
ejpam-5408	215	17	+	+	CCONJ
ejpam-5408	215	18	(	(	PUNCT
ejpam-5408	215	19	1	1	NUM
ejpam-5408	215	20	+	+	NUM
ejpam-5408	215	21	2x	2x	NUM
ejpam-5408	215	22	)	)	PUNCT
ejpam-5408	215	23	(	(	PUNCT
ejpam-5408	215	24	1−	1−	NUM
ejpam-5408	215	25	γ	γ	X
ejpam-5408	215	26	+	+	X
ejpam-5408	215	27	[	[	X
ejpam-5408	215	28	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	215	29	)	)	PUNCT
ejpam-5408	215	30	2∣∣∣∣	2∣∣∣∣	NUM
ejpam-5408	215	31	,	,	PUNCT
ejpam-5408	215	32	m.	m.	NOUN
ejpam-5408	215	33	illafe	illafe	NOUN
ejpam-5408	215	34	et	et	PROPN
ejpam-5408	215	35	al	al	PROPN
ejpam-5408	215	36	.	.	PUNCT
ejpam-5408	215	37	/	/	SYM
ejpam-5408	215	38	eur	eur	PROPN
ejpam-5408	215	39	.	.	PUNCT
ejpam-5408	216	1	j.	j.	PROPN
ejpam-5408	216	2	pure	pure	PROPN
ejpam-5408	216	3	appl	appl	PROPN
ejpam-5408	216	4	.	.	PROPN
ejpam-5408	216	5	math	math	PROPN
ejpam-5408	216	6	,	,	PUNCT
ejpam-5408	216	7	17	17	NUM
ejpam-5408	216	8	(	(	PUNCT
ejpam-5408	216	9	4	4	NUM
ejpam-5408	216	10	)	)	PUNCT
ejpam-5408	216	11	(	(	PUNCT
ejpam-5408	216	12	2024	2024	NUM
ejpam-5408	216	13	)	)	PUNCT
ejpam-5408	216	14	,	,	PUNCT
ejpam-5408	216	15	2467	2467	NUM
ejpam-5408	216	16	-	-	SYM
ejpam-5408	216	17	2480	2480	NUM
ejpam-5408	216	18	2477	2477	NUM
ejpam-5408	216	19	|a3|	|a3|	VERB
ejpam-5408	216	20	≤	≤	ADJ
ejpam-5408	216	21	2[̃3]qγx	2[̃3]qγx	NUM
ejpam-5408	216	22	2α2	2α2	NUM
ejpam-5408	216	23	(	(	PUNCT
ejpam-5408	216	24	1−	1−	NUM
ejpam-5408	216	25	γ	γ	X
ejpam-5408	216	26	+	+	X
ejpam-5408	216	27	[	[	X
ejpam-5408	216	28	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	216	29	)	)	PUNCT
ejpam-5408	216	30	2	2	NUM
ejpam-5408	216	31	−	−	NOUN
ejpam-5408	216	32	4αx	4αx	NOUN
ejpam-5408	216	33	[	[	PUNCT
ejpam-5408	216	34	[	[	X
ejpam-5408	216	35	̃3]qγ	̃3]qγ	PROPN
ejpam-5408	216	36	+	+	NOUN
ejpam-5408	216	37	1−	1−	NUM
ejpam-5408	216	38	γ	γ	X
ejpam-5408	216	39	]	]	PUNCT
ejpam-5408	216	40	and	and	CCONJ
ejpam-5408	216	41	∣∣a3	∣∣a3	NOUN
ejpam-5408	216	42	−	−	DET
ejpam-5408	216	43	φa22	φa22	PROPN
ejpam-5408	216	44	∣∣	∣∣	NUM
ejpam-5408	216	45	≤	≤	ADV
ejpam-5408	216	46			PROPN
ejpam-5408	216	47	αx	αx	ADV
ejpam-5408	216	48	γ	γ	X
ejpam-5408	216	49	[	[	X
ejpam-5408	216	50	̃3]q−(γ−1	̃3]q−(γ−1	ADJ
ejpam-5408	216	51	)	)	PUNCT
ejpam-5408	216	52	if	if	SCONJ
ejpam-5408	216	53	0	0	NUM
ejpam-5408	216	54	≤	≤	NUM
ejpam-5408	216	55	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	216	56	≤	≤	NUM
ejpam-5408	216	57	1	1	NUM
ejpam-5408	216	58	2	2	NUM
ejpam-5408	216	59	[	[	PUNCT
ejpam-5408	216	60	γ	γ	X
ejpam-5408	216	61	[	[	X
ejpam-5408	216	62	̃3]q−(γ−1	̃3]q−(γ−1	NOUN
ejpam-5408	216	63	)	)	PUNCT
ejpam-5408	216	64	]	]	PUNCT
ejpam-5408	216	65	,	,	PUNCT
ejpam-5408	216	66	2αx	2αx	PROPN
ejpam-5408	216	67	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	216	68	if	if	SCONJ
ejpam-5408	216	69	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	216	70	≥	≥	VERB
ejpam-5408	216	71	1	1	NUM
ejpam-5408	216	72	2	2	NUM
ejpam-5408	216	73	[	[	PUNCT
ejpam-5408	216	74	γ	γ	X
ejpam-5408	216	75	[	[	X
ejpam-5408	216	76	̃3]q−(γ−1	̃3]q−(γ−1	NOUN
ejpam-5408	216	77	)	)	PUNCT
ejpam-5408	216	78	]	]	PUNCT
ejpam-5408	216	79	,	,	PUNCT
ejpam-5408	216	80	where	where	SCONJ
ejpam-5408	216	81	h(φ	h(φ	ADJ
ejpam-5408	216	82	)	)	PUNCT
ejpam-5408	216	83	=	=	PUNCT
ejpam-5408	217	1	2(1−	2(1−	NUM
ejpam-5408	217	2	φ)αx2	φ)αx2	NOUN
ejpam-5408	217	3	αx2	αx2	NOUN
ejpam-5408	217	4	[	[	PUNCT
ejpam-5408	217	5	4γ	4γ	NOUN
ejpam-5408	218	1	[	[	X
ejpam-5408	218	2	̃3]q	̃3]q	VERB
ejpam-5408	218	3	+	+	NUM
ejpam-5408	218	4	4(1−	4(1−	NUM
ejpam-5408	218	5	γ)−	γ)−	PROPN
ejpam-5408	218	6	2(1	2(1	NUM
ejpam-5408	219	1	+	+	CCONJ
ejpam-5408	219	2	(	(	PUNCT
ejpam-5408	219	3	1	1	NUM
ejpam-5408	219	4	/	/	SYM
ejpam-5408	219	5	α	α	NOUN
ejpam-5408	219	6	)	)	PUNCT
ejpam-5408	219	7	)	)	PUNCT
ejpam-5408	220	1	(	(	PUNCT
ejpam-5408	220	2	1−	1−	NUM
ejpam-5408	220	3	γ	γ	X
ejpam-5408	220	4	+	+	X
ejpam-5408	220	5	[	[	X
ejpam-5408	220	6	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	220	7	)	)	PUNCT
ejpam-5408	220	8	2	2	NUM
ejpam-5408	220	9	]	]	PUNCT
ejpam-5408	220	10	+	+	CCONJ
ejpam-5408	220	11	(	(	PUNCT
ejpam-5408	220	12	1	1	NUM
ejpam-5408	220	13	+	+	NUM
ejpam-5408	220	14	2x	2x	NUM
ejpam-5408	220	15	)	)	PUNCT
ejpam-5408	220	16	(	(	PUNCT
ejpam-5408	220	17	1−	1−	NUM
ejpam-5408	220	18	γ	γ	X
ejpam-5408	220	19	+	+	X
ejpam-5408	220	20	[	[	X
ejpam-5408	220	21	̃2]qγ	̃2]qγ	NOUN
ejpam-5408	220	22	)	)	PUNCT
ejpam-5408	220	23	2	2	NUM
ejpam-5408	220	24	.	.	PUNCT
ejpam-5408	221	1	next	next	ADV
ejpam-5408	221	2	,	,	PUNCT
ejpam-5408	221	3	letting	let	VERB
ejpam-5408	221	4	γ	γ	X
ejpam-5408	221	5	=	=	SYM
ejpam-5408	221	6	ν	ν	X
ejpam-5408	221	7	=	=	SYM
ejpam-5408	221	8	1	1	NUM
ejpam-5408	221	9	and	and	CCONJ
ejpam-5408	221	10	ϵ	ϵ	X
ejpam-5408	221	11	=	=	SYM
ejpam-5408	221	12	0	0	NUM
ejpam-5408	221	13	,	,	PUNCT
ejpam-5408	221	14	yields	yield	NOUN
ejpam-5408	221	15	.	.	PUNCT
ejpam-5408	222	1	corollary	corollary	ADJ
ejpam-5408	222	2	4	4	NUM
ejpam-5408	222	3	.	.	PUNCT
ejpam-5408	223	1	if	if	SCONJ
ejpam-5408	223	2	f	f	PROPN
ejpam-5408	223	3	∈	∈	PROPN
ejpam-5408	223	4	4b̃q	4b̃q	NUM
ejpam-5408	224	1	σ(t	σ(t	NOUN
ejpam-5408	224	2	)	)	PUNCT
ejpam-5408	224	3	,	,	PUNCT
ejpam-5408	224	4	then	then	ADV
ejpam-5408	224	5	|a2|	|a2|	VERB
ejpam-5408	224	6	≤	≤	ADJ
ejpam-5408	224	7	2αx	2αx	NOUN
ejpam-5408	224	8	√	√	ADP
ejpam-5408	224	9	x√∣∣∣∣x2	x√∣∣∣∣x2	PUNCT
ejpam-5408	225	1	[	[	X
ejpam-5408	225	2	2α[̃3]q	2α[̃3]q	NUM
ejpam-5408	225	3	−	−	NUM
ejpam-5408	225	4	2	2	NUM
ejpam-5408	225	5	(	(	PUNCT
ejpam-5408	225	6	1	1	NUM
ejpam-5408	225	7	+	+	NUM
ejpam-5408	225	8	α	α	NOUN
ejpam-5408	225	9	)	)	PUNCT
ejpam-5408	225	10	(	(	PUNCT
ejpam-5408	225	11	[	[	X
ejpam-5408	225	12	̃2]q	̃2]q	NOUN
ejpam-5408	225	13	)	)	PUNCT
ejpam-5408	225	14	2	2	NUM
ejpam-5408	225	15	]	]	PUNCT
ejpam-5408	225	16	+	+	CCONJ
ejpam-5408	225	17	(	(	PUNCT
ejpam-5408	225	18	1	1	NUM
ejpam-5408	225	19	+	+	NUM
ejpam-5408	225	20	2x	2x	NUM
ejpam-5408	225	21	)	)	PUNCT
ejpam-5408	225	22	(	(	PUNCT
ejpam-5408	225	23	[	[	X
ejpam-5408	225	24	̃2]q	̃2]q	NOUN
ejpam-5408	225	25	)	)	PUNCT
ejpam-5408	225	26	2∣∣∣∣	2∣∣∣∣	NUM
ejpam-5408	225	27	,	,	PUNCT
ejpam-5408	225	28	|a3|	|a3|	VERB
ejpam-5408	225	29	≤	≤	ADJ
ejpam-5408	225	30	2[̃3]qx	2[̃3]qx	NUM
ejpam-5408	225	31	2α2	2α2	NUM
ejpam-5408	225	32	(	(	PUNCT
ejpam-5408	225	33	[	[	X
ejpam-5408	225	34	̃2]q	̃2]q	NOUN
ejpam-5408	225	35	)	)	PUNCT
ejpam-5408	225	36	2	2	NUM
ejpam-5408	225	37	−	−	NOUN
ejpam-5408	225	38	4αx	4αx	NOUN
ejpam-5408	226	1	[	[	X
ejpam-5408	226	2	̃3]q	̃3]q	ADJ
ejpam-5408	226	3	and	and	CCONJ
ejpam-5408	226	4	∣∣a3	∣∣a3	NOUN
ejpam-5408	226	5	−	−	PRON
ejpam-5408	226	6	φa22	φa22	PROPN
ejpam-5408	226	7	∣∣	∣∣	NUM
ejpam-5408	226	8	≤	≤	NUM
ejpam-5408	226	9			PUNCT
ejpam-5408	226	10	αx	αx	X
ejpam-5408	227	1	[	[	X
ejpam-5408	227	2	̃3]q	̃3]q	ADJ
ejpam-5408	227	3	if	if	SCONJ
ejpam-5408	227	4	0	0	NUM
ejpam-5408	227	5	≤	≤	NUM
ejpam-5408	227	6	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	227	7	≤	≤	NUM
ejpam-5408	227	8	1	1	NUM
ejpam-5408	227	9	2[̃3]q	2[̃3]q	NUM
ejpam-5408	227	10	,	,	PUNCT
ejpam-5408	227	11	2αx	2αx	PROPN
ejpam-5408	227	12	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	227	13	if	if	SCONJ
ejpam-5408	227	14	|h(φ)|	|h(φ)|	PROPN
ejpam-5408	227	15	≥	≥	VERB
ejpam-5408	227	16	1	1	NUM
ejpam-5408	227	17	2[̃3]q	2[̃3]q	NUM
ejpam-5408	227	18	,	,	PUNCT
ejpam-5408	227	19	where	where	SCONJ
ejpam-5408	227	20	h(φ	h(φ	ADJ
ejpam-5408	227	21	)	)	PUNCT
ejpam-5408	227	22	=	=	PUNCT
ejpam-5408	227	23	2(1−	2(1−	NUM
ejpam-5408	227	24	φ)αx2	φ)αx2	NOUN
ejpam-5408	227	25	αx2	αx2	NOUN
ejpam-5408	227	26	[	[	PUNCT
ejpam-5408	227	27	4[̃3]q	4[̃3]q	NUM
ejpam-5408	227	28	−	−	NOUN
ejpam-5408	227	29	2(1	2(1	NUM
ejpam-5408	227	30	+	+	CCONJ
ejpam-5408	227	31	(	(	PUNCT
ejpam-5408	227	32	1	1	NUM
ejpam-5408	227	33	/	/	SYM
ejpam-5408	227	34	α	α	NOUN
ejpam-5408	227	35	)	)	PUNCT
ejpam-5408	227	36	)	)	PUNCT
ejpam-5408	227	37	(	(	PUNCT
ejpam-5408	227	38	[	[	X
ejpam-5408	227	39	̃2]q	̃2]q	NOUN
ejpam-5408	227	40	)	)	PUNCT
ejpam-5408	227	41	2	2	NUM
ejpam-5408	227	42	]	]	PUNCT
ejpam-5408	227	43	+	+	CCONJ
ejpam-5408	227	44	(	(	PUNCT
ejpam-5408	227	45	1	1	NUM
ejpam-5408	227	46	+	+	NUM
ejpam-5408	227	47	2x	2x	NUM
ejpam-5408	227	48	)	)	PUNCT
ejpam-5408	227	49	(	(	PUNCT
ejpam-5408	227	50	[	[	X
ejpam-5408	227	51	̃2]q	̃2]q	NOUN
ejpam-5408	227	52	)	)	PUNCT
ejpam-5408	227	53	2	2	NUM
ejpam-5408	227	54	.	.	NOUN
ejpam-5408	227	55	6	6	NUM
ejpam-5408	227	56	.	.	X
ejpam-5408	227	57	conclusion	conclusion	NOUN
ejpam-5408	227	58	in	in	ADP
ejpam-5408	227	59	our	our	PRON
ejpam-5408	227	60	current	current	ADJ
ejpam-5408	227	61	investigation	investigation	NOUN
ejpam-5408	227	62	,	,	PUNCT
ejpam-5408	227	63	a	a	DET
ejpam-5408	227	64	novel	novel	ADJ
ejpam-5408	227	65	subclass	subclass	NOUN
ejpam-5408	227	66	b̃q	b̃q	ADP
ejpam-5408	227	67	σ(t	σ(t	PROPN
ejpam-5408	227	68	,	,	PUNCT
ejpam-5408	227	69	γ	γ	X
ejpam-5408	227	70	,	,	PUNCT
ejpam-5408	227	71	ν	ν	PROPN
ejpam-5408	227	72	,	,	PUNCT
ejpam-5408	227	73	ϵ	ϵ	NOUN
ejpam-5408	227	74	)	)	PUNCT
ejpam-5408	227	75	of	of	ADP
ejpam-5408	227	76	normalized	normalize	VERB
ejpam-5408	227	77	bi	bi	ADJ
ejpam-5408	227	78	-	-	ADJ
ejpam-5408	227	79	univalent	univalent	ADJ
ejpam-5408	227	80	analytic	analytic	ADJ
ejpam-5408	227	81	functions	function	NOUN
ejpam-5408	227	82	has	have	AUX
ejpam-5408	227	83	been	be	AUX
ejpam-5408	227	84	delineated	delineate	VERB
ejpam-5408	227	85	.	.	PUNCT
ejpam-5408	228	1	this	this	DET
ejpam-5408	228	2	subclass	subclass	ADJ
ejpam-5408	228	3	integrates	integrate	NOUN
ejpam-5408	228	4	gegenbauer	gegenbauer	NOUN
ejpam-5408	228	5	polynomials	polynomial	NOUN
ejpam-5408	228	6	and	and	CCONJ
ejpam-5408	228	7	a	a	DET
ejpam-5408	228	8	symmetric	symmetric	ADJ
ejpam-5408	228	9	q	q	ADJ
ejpam-5408	228	10	-	-	ADJ
ejpam-5408	228	11	derivative	derivative	ADJ
ejpam-5408	228	12	operator	operator	NOUN
ejpam-5408	228	13	series	series	NOUN
ejpam-5408	228	14	.	.	PUNCT
ejpam-5408	229	1	initially	initially	ADV
ejpam-5408	229	2	,	,	PUNCT
ejpam-5408	229	3	we	we	PRON
ejpam-5408	229	4	have	have	AUX
ejpam-5408	229	5	furnished	furnish	VERB
ejpam-5408	229	6	an	an	DET
ejpam-5408	229	7	estimate	estimate	NOUN
ejpam-5408	229	8	for	for	ADP
ejpam-5408	229	9	the	the	DET
ejpam-5408	229	10	primary	primary	ADJ
ejpam-5408	229	11	taylor	taylor	PROPN
ejpam-5408	229	12	-	-	PUNCT
ejpam-5408	229	13	maclaurin	maclaurin	NOUN
ejpam-5408	229	14	coefficients	coefficient	NOUN
ejpam-5408	229	15	,	,	PUNCT
ejpam-5408	229	16	|a2|	|a2|	NOUN
ejpam-5408	229	17	and	and	CCONJ
ejpam-5408	229	18	|a3|	|a3|	NOUN
ejpam-5408	229	19	.	.	PUNCT
ejpam-5408	230	1	subsequently	subsequently	ADV
ejpam-5408	230	2	,	,	PUNCT
ejpam-5408	230	3	we	we	PRON
ejpam-5408	230	4	have	have	AUX
ejpam-5408	230	5	successfully	successfully	ADV
ejpam-5408	230	6	addressed	address	VERB
ejpam-5408	230	7	the	the	DET
ejpam-5408	230	8	fekete	fekete	PROPN
ejpam-5408	230	9	-	-	PUNCT
ejpam-5408	230	10	szegö	szegö	VERB
ejpam-5408	230	11	inequality	inequality	NOUN
ejpam-5408	230	12	problem	problem	NOUN
ejpam-5408	230	13	.	.	PUNCT
ejpam-5408	231	1	furthermore	furthermore	ADV
ejpam-5408	231	2	,	,	PUNCT
ejpam-5408	231	3	through	through	ADP
ejpam-5408	231	4	substituting	substitute	VERB
ejpam-5408	231	5	some	some	DET
ejpam-5408	231	6	values	value	NOUN
ejpam-5408	231	7	for	for	ADP
ejpam-5408	231	8	the	the	DET
ejpam-5408	231	9	parameters	parameter	NOUN
ejpam-5408	231	10	ϵ	ϵ	X
ejpam-5408	231	11	,	,	PUNCT
ejpam-5408	231	12	ν	ν	PROPN
ejpam-5408	231	13	,	,	PUNCT
ejpam-5408	231	14	and	and	CCONJ
ejpam-5408	231	15	γ	γ	X
ejpam-5408	231	16	,	,	PUNCT
ejpam-5408	231	17	we	we	PRON
ejpam-5408	231	18	derived	derive	VERB
ejpam-5408	231	19	analogous	analogous	ADJ
ejpam-5408	231	20	outcomes	outcome	NOUN
ejpam-5408	231	21	for	for	ADP
ejpam-5408	231	22	the	the	DET
ejpam-5408	231	23	following	following	ADJ
ejpam-5408	231	24	subclasses	subclass	NOUN
ejpam-5408	231	25	:	:	PUNCT
ejpam-5408	231	26	1b̃q	1b̃q	NUM
ejpam-5408	231	27	σ(t	σ(t	NOUN
ejpam-5408	231	28	,	,	PUNCT
ejpam-5408	231	29	γ	γ	X
ejpam-5408	231	30	,	,	PUNCT
ejpam-5408	231	31	ν	ν	NOUN
ejpam-5408	231	32	)	)	PUNCT
ejpam-5408	231	33	:	:	PUNCT
ejpam-5408	231	34	=	=	SYM
ejpam-5408	231	35	b̃q	b̃q	X
ejpam-5408	231	36	σ(t	σ(t	PROPN
ejpam-5408	231	37	,	,	PUNCT
ejpam-5408	231	38	γ	γ	X
ejpam-5408	231	39	,	,	PUNCT
ejpam-5408	231	40	ν	ν	PROPN
ejpam-5408	231	41	,	,	PUNCT
ejpam-5408	231	42	0	0	NUM
ejpam-5408	231	43	)	)	PUNCT
ejpam-5408	231	44	,	,	PUNCT
ejpam-5408	231	45	2b̃q	2b̃q	NUM
ejpam-5408	231	46	σ(t	σ(t	PROPN
ejpam-5408	231	47	,	,	PUNCT
ejpam-5408	231	48	γ	γ	X
ejpam-5408	231	49	,	,	PUNCT
ejpam-5408	231	50	ϵ	ϵ	NOUN
ejpam-5408	231	51	)	)	PUNCT
ejpam-5408	231	52	:	:	PUNCT
ejpam-5408	231	53	=	=	SYM
ejpam-5408	231	54	b̃q	b̃q	X
ejpam-5408	231	55	σ(t	σ(t	PROPN
ejpam-5408	231	56	,	,	PUNCT
ejpam-5408	231	57	γ	γ	X
ejpam-5408	231	58	,	,	PUNCT
ejpam-5408	231	59	1	1	NUM
ejpam-5408	231	60	,	,	PUNCT
ejpam-5408	231	61	ϵ	ϵ	NOUN
ejpam-5408	231	62	)	)	PUNCT
ejpam-5408	231	63	,	,	PUNCT
ejpam-5408	231	64	3b̃q	3b̃q	CCONJ
ejpam-5408	231	65	σ(t	σ(t	NOUN
ejpam-5408	231	66	,	,	PUNCT
ejpam-5408	231	67	γ	γ	NOUN
ejpam-5408	231	68	)	)	PUNCT
ejpam-5408	231	69	:	:	PUNCT
ejpam-5408	231	70	=	=	SYM
ejpam-5408	231	71	b̃q	b̃q	X
ejpam-5408	231	72	σ(t	σ(t	PROPN
ejpam-5408	231	73	,	,	PUNCT
ejpam-5408	231	74	γ	γ	X
ejpam-5408	231	75	,	,	PUNCT
ejpam-5408	231	76	1	1	NUM
ejpam-5408	231	77	,	,	PUNCT
ejpam-5408	231	78	0	0	NUM
ejpam-5408	231	79	)	)	PUNCT
ejpam-5408	231	80	,	,	PUNCT
ejpam-5408	231	81	and	and	CCONJ
ejpam-5408	231	82	4b̃q	4b̃q	NUM
ejpam-5408	231	83	σ(t	σ(t	NOUN
ejpam-5408	231	84	)	)	PUNCT
ejpam-5408	231	85	:	:	PUNCT
ejpam-5408	231	86	=	=	SYM
ejpam-5408	231	87	b̃q	b̃q	X
ejpam-5408	231	88	σ(t	σ(t	PROPN
ejpam-5408	231	89	,	,	PUNCT
ejpam-5408	231	90	1	1	NUM
ejpam-5408	231	91	,	,	PUNCT
ejpam-5408	231	92	1	1	NUM
ejpam-5408	231	93	,	,	PUNCT
ejpam-5408	231	94	0	0	NUM
ejpam-5408	231	95	)	)	PUNCT
ejpam-5408	231	96	.	.	PUNCT
ejpam-5408	232	1	references	reference	NOUN
ejpam-5408	232	2	2478	2478	NUM
ejpam-5408	232	3	acknowledgements	acknowledgement	NOUN
ejpam-5408	232	4	this	this	DET
ejpam-5408	232	5	study	study	NOUN
ejpam-5408	232	6	was	be	AUX
ejpam-5408	232	7	conducted	conduct	VERB
ejpam-5408	232	8	during	during	ADP
ejpam-5408	232	9	the	the	DET
ejpam-5408	232	10	third	third	ADJ
ejpam-5408	232	11	author	author	NOUN
ejpam-5408	232	12	’s	’s	PART
ejpam-5408	232	13	sabbatical	sabbatical	ADJ
ejpam-5408	232	14	leave	leave	NOUN
ejpam-5408	232	15	from	from	ADP
ejpam-5408	232	16	the	the	DET
ejpam-5408	232	17	university	university	NOUN
ejpam-5408	232	18	of	of	ADP
ejpam-5408	232	19	jordan	jordan	PROPN
ejpam-5408	232	20	in	in	ADP
ejpam-5408	232	21	the	the	DET
ejpam-5408	232	22	usa	usa	PROPN
ejpam-5408	232	23	.	.	PUNCT
ejpam-5408	233	1	the	the	DET
ejpam-5408	233	2	authors	author	NOUN
ejpam-5408	233	3	would	would	AUX
ejpam-5408	233	4	like	like	VERB
ejpam-5408	233	5	to	to	PART
ejpam-5408	233	6	thank	thank	VERB
ejpam-5408	233	7	the	the	DET
ejpam-5408	233	8	editor	editor	NOUN
ejpam-5408	233	9	and	and	CCONJ
ejpam-5408	233	10	anonymous	anonymous	ADJ
ejpam-5408	233	11	reviewers	reviewer	NOUN
ejpam-5408	233	12	for	for	ADP
ejpam-5408	233	13	their	their	PRON
ejpam-5408	233	14	valuable	valuable	ADJ
ejpam-5408	233	15	comments	comment	NOUN
ejpam-5408	233	16	,	,	PUNCT
ejpam-5408	233	17	which	which	PRON
ejpam-5408	233	18	have	have	AUX
ejpam-5408	233	19	helped	help	VERB
ejpam-5408	233	20	to	to	PART
ejpam-5408	233	21	improve	improve	VERB
ejpam-5408	233	22	the	the	DET
ejpam-5408	233	23	quality	quality	NOUN
ejpam-5408	233	24	of	of	ADP
ejpam-5408	233	25	this	this	DET
ejpam-5408	233	26	work	work	NOUN
ejpam-5408	233	27	.	.	PUNCT
ejpam-5408	234	1	references	reference	NOUN
ejpam-5408	234	2	[	[	X
ejpam-5408	234	3	1	1	X
ejpam-5408	234	4	]	]	PUNCT
ejpam-5408	234	5	t.	t.	PROPN
ejpam-5408	234	6	al	al	PROPN
ejpam-5408	234	7	-	-	PUNCT
ejpam-5408	234	8	hawary	hawary	PROPN
ejpam-5408	234	9	,	,	PUNCT
ejpam-5408	234	10	i.	i.	PROPN
ejpam-5408	234	11	aldawish	aldawish	PROPN
ejpam-5408	234	12	,	,	PUNCT
ejpam-5408	234	13	b.	b.	PROPN
ejpam-5408	234	14	a.	a.	PROPN
ejpam-5408	234	15	frasin	frasin	PROPN
ejpam-5408	234	16	,	,	PUNCT
ejpam-5408	234	17	o.	o.	PROPN
ejpam-5408	234	18	alkam	alkam	PROPN
ejpam-5408	234	19	,	,	PUNCT
ejpam-5408	234	20	and	and	CCONJ
ejpam-5408	234	21	f.	f.	PROPN
ejpam-5408	234	22	yousef	yousef	PROPN
ejpam-5408	234	23	.	.	PUNCT
ejpam-5408	235	1	necessary	necessary	ADJ
ejpam-5408	235	2	and	and	CCONJ
ejpam-5408	235	3	sufficient	sufficient	ADJ
ejpam-5408	235	4	conditions	condition	NOUN
ejpam-5408	235	5	for	for	SCONJ
ejpam-5408	235	6	normalized	normalize	VERB
ejpam-5408	235	7	wright	wright	PROPN
ejpam-5408	235	8	functions	function	NOUN
ejpam-5408	235	9	to	to	PART
ejpam-5408	235	10	be	be	AUX
ejpam-5408	235	11	in	in	ADP
ejpam-5408	235	12	certain	certain	ADJ
ejpam-5408	235	13	classes	class	NOUN
ejpam-5408	235	14	of	of	ADP
ejpam-5408	235	15	analytic	analytic	ADJ
ejpam-5408	235	16	functions	function	NOUN
ejpam-5408	235	17	.	.	PUNCT
ejpam-5408	236	1	mathematics	mathematic	NOUN
ejpam-5408	236	2	,	,	PUNCT
ejpam-5408	236	3	10(24	10(24	NUM
ejpam-5408	236	4	)	)	PUNCT
ejpam-5408	236	5	,	,	PUNCT
ejpam-5408	236	6	2022	2022	NUM
ejpam-5408	236	7	.	.	PUNCT
ejpam-5408	237	1	[	[	X
ejpam-5408	237	2	2	2	X
ejpam-5408	237	3	]	]	PUNCT
ejpam-5408	237	4	t.	t.	PROPN
ejpam-5408	237	5	al	al	PROPN
ejpam-5408	237	6	-	-	PUNCT
ejpam-5408	237	7	hawary	hawary	PROPN
ejpam-5408	237	8	,	,	PUNCT
ejpam-5408	237	9	a.	a.	PROPN
ejpam-5408	237	10	amourah	amourah	PROPN
ejpam-5408	237	11	,	,	PUNCT
ejpam-5408	237	12	j.	j.	PROPN
ejpam-5408	237	13	salah	salah	PROPN
ejpam-5408	237	14	,	,	PUNCT
ejpam-5408	237	15	and	and	CCONJ
ejpam-5408	237	16	f.	f.	PROPN
ejpam-5408	237	17	yousef	yousef	PROPN
ejpam-5408	237	18	.	.	PUNCT
ejpam-5408	238	1	two	two	NUM
ejpam-5408	238	2	inclusive	inclusive	ADJ
ejpam-5408	238	3	subfamilies	subfamily	NOUN
ejpam-5408	238	4	of	of	ADP
ejpam-5408	238	5	bi	bi	ADJ
ejpam-5408	238	6	-	-	ADJ
ejpam-5408	238	7	univalent	univalent	ADJ
ejpam-5408	238	8	functions	function	NOUN
ejpam-5408	238	9	.	.	PUNCT
ejpam-5408	239	1	international	international	ADJ
ejpam-5408	239	2	journal	journal	PROPN
ejpam-5408	239	3	of	of	ADP
ejpam-5408	239	4	neutrosophic	neutrosophic	ADJ
ejpam-5408	239	5	science	science	NOUN
ejpam-5408	239	6	,	,	PUNCT
ejpam-5408	239	7	24(4):315–323	24(4):315–323	NUM
ejpam-5408	239	8	,	,	PUNCT
ejpam-5408	239	9	2024	2024	NUM
ejpam-5408	239	10	.	.	PUNCT
ejpam-5408	240	1	[	[	X
ejpam-5408	240	2	3	3	NUM
ejpam-5408	240	3	]	]	X
ejpam-5408	240	4	i.	i.	NOUN
ejpam-5408	240	5	aldawish	aldawish	PROPN
ejpam-5408	240	6	,	,	PUNCT
ejpam-5408	240	7	t.	t.	PROPN
ejpam-5408	240	8	al	al	PROPN
ejpam-5408	240	9	-	-	PUNCT
ejpam-5408	240	10	hawary	hawary	PROPN
ejpam-5408	240	11	,	,	PUNCT
ejpam-5408	240	12	and	and	CCONJ
ejpam-5408	240	13	b.	b.	PROPN
ejpam-5408	240	14	a.	a.	PROPN
ejpam-5408	240	15	frasin	frasin	PROPN
ejpam-5408	240	16	.	.	PUNCT
ejpam-5408	241	1	subclasses	subclass	NOUN
ejpam-5408	241	2	of	of	ADP
ejpam-5408	241	3	bi	bi	ADJ
ejpam-5408	241	4	-	-	ADJ
ejpam-5408	241	5	univalent	univalent	ADJ
ejpam-5408	241	6	functions	function	NOUN
ejpam-5408	241	7	defined	define	VERB
ejpam-5408	241	8	by	by	ADP
ejpam-5408	241	9	frasin	frasin	NOUN
ejpam-5408	241	10	differential	differential	NOUN
ejpam-5408	241	11	operator	operator	NOUN
ejpam-5408	241	12	.	.	PUNCT
ejpam-5408	242	1	mathematics	mathematic	NOUN
ejpam-5408	242	2	,	,	PUNCT
ejpam-5408	242	3	8(5):783	8(5):783	NUM
ejpam-5408	242	4	,	,	PUNCT
ejpam-5408	242	5	2020	2020	NUM
ejpam-5408	242	6	.	.	PUNCT
ejpam-5408	243	1	[	[	X
ejpam-5408	243	2	4	4	X
ejpam-5408	243	3	]	]	X
ejpam-5408	243	4	h.	h.	NOUN
ejpam-5408	243	5	aldweby	aldweby	PROPN
ejpam-5408	243	6	and	and	CCONJ
ejpam-5408	243	7	m.	m.	NOUN
ejpam-5408	243	8	darus	darus	NOUN
ejpam-5408	243	9	.	.	PUNCT
ejpam-5408	244	1	some	some	DET
ejpam-5408	244	2	subordination	subordination	NOUN
ejpam-5408	244	3	results	result	VERB
ejpam-5408	244	4	on	on	ADP
ejpam-5408	244	5	q	q	NOUN
ejpam-5408	244	6	-	-	NOUN
ejpam-5408	244	7	analogue	analogue	NOUN
ejpam-5408	244	8	of	of	ADP
ejpam-5408	244	9	ruscheweyh	ruscheweyh	NOUN
ejpam-5408	244	10	differential	differential	ADJ
ejpam-5408	244	11	operator	operator	NOUN
ejpam-5408	244	12	.	.	PUNCT
ejpam-5408	245	1	abstract	abstract	ADJ
ejpam-5408	245	2	and	and	CCONJ
ejpam-5408	245	3	applied	apply	VERB
ejpam-5408	245	4	analysis	analysis	NOUN
ejpam-5408	245	5	,	,	PUNCT
ejpam-5408	245	6	2014:1–6	2014:1–6	NUM
ejpam-5408	245	7	,	,	PUNCT
ejpam-5408	245	8	2014	2014	NUM
ejpam-5408	245	9	.	.	PUNCT
ejpam-5408	246	1	[	[	X
ejpam-5408	246	2	5	5	NUM
ejpam-5408	246	3	]	]	PUNCT
ejpam-5408	246	4	a.	a.	NOUN
ejpam-5408	246	5	amourah	amourah	PROPN
ejpam-5408	246	6	,	,	PUNCT
ejpam-5408	246	7	b.	b.	PROPN
ejpam-5408	246	8	a.	a.	PROPN
ejpam-5408	246	9	frasin	frasin	PROPN
ejpam-5408	246	10	,	,	PUNCT
ejpam-5408	246	11	g.	g.	PROPN
ejpam-5408	246	12	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5408	246	13	,	,	PUNCT
ejpam-5408	246	14	and	and	CCONJ
ejpam-5408	246	15	t.	t.	PROPN
ejpam-5408	246	16	al	al	PROPN
ejpam-5408	246	17	-	-	PUNCT
ejpam-5408	246	18	hawary	hawary	PROPN
ejpam-5408	246	19	.	.	PUNCT
ejpam-5408	247	1	application	application	NOUN
ejpam-5408	247	2	of	of	ADP
ejpam-5408	247	3	chebyshev	chebyshev	NOUN
ejpam-5408	247	4	polynomials	polynomial	NOUN
ejpam-5408	247	5	to	to	ADP
ejpam-5408	247	6	certain	certain	ADJ
ejpam-5408	247	7	class	class	NOUN
ejpam-5408	247	8	of	of	ADP
ejpam-5408	247	9	bi	bi	ADJ
ejpam-5408	247	10	-	-	ADJ
ejpam-5408	247	11	bazilevic̆	bazilevic̆	ADJ
ejpam-5408	247	12	functions	function	NOUN
ejpam-5408	247	13	of	of	ADP
ejpam-5408	247	14	order	order	NOUN
ejpam-5408	247	15	α+iβ	α+iβ	NOUN
ejpam-5408	247	16	.	.	PUNCT
ejpam-5408	248	1	afrika	afrika	PROPN
ejpam-5408	248	2	matematika	matematika	PROPN
ejpam-5408	248	3	,	,	PUNCT
ejpam-5408	248	4	32(1):1059–1066	32(1):1059–1066	NUM
ejpam-5408	248	5	,	,	PUNCT
ejpam-5408	248	6	2021	2021	NUM
ejpam-5408	248	7	.	.	PUNCT
ejpam-5408	249	1	[	[	X
ejpam-5408	249	2	6	6	NUM
ejpam-5408	249	3	]	]	PUNCT
ejpam-5408	249	4	a.	a.	NOUN
ejpam-5408	249	5	amourah	amourah	PROPN
ejpam-5408	249	6	,	,	PUNCT
ejpam-5408	249	7	b.	b.	PROPN
ejpam-5408	249	8	a.	a.	PROPN
ejpam-5408	249	9	frasin	frasin	PROPN
ejpam-5408	249	10	,	,	PUNCT
ejpam-5408	249	11	g.	g.	PROPN
ejpam-5408	249	12	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5408	249	13	,	,	PUNCT
ejpam-5408	249	14	and	and	CCONJ
ejpam-5408	249	15	t.	t.	PROPN
ejpam-5408	249	16	al	al	PROPN
ejpam-5408	249	17	-	-	PUNCT
ejpam-5408	249	18	hawary	hawary	PROPN
ejpam-5408	249	19	.	.	PUNCT
ejpam-5408	250	1	bibazilevic̆	bibazilevic̆	NOUN
ejpam-5408	250	2	functions	function	NOUN
ejpam-5408	250	3	of	of	ADP
ejpam-5408	250	4	order	order	NOUN
ejpam-5408	250	5	ϑ	ϑ	X
ejpam-5408	250	6	+	+	CCONJ
ejpam-5408	250	7	iδ	iδ	AUX
ejpam-5408	250	8	associated	associate	VERB
ejpam-5408	250	9	with	with	ADP
ejpam-5408	250	10	(	(	PUNCT
ejpam-5408	250	11	p	p	X
ejpam-5408	250	12	,	,	PUNCT
ejpam-5408	250	13	q)−lucas	q)−luca	NOUN
ejpam-5408	250	14	polynomials	polynomial	NOUN
ejpam-5408	250	15	.	.	PUNCT
ejpam-5408	251	1	aims	aim	VERB
ejpam-5408	251	2	mathematics	mathematic	NOUN
ejpam-5408	251	3	,	,	PUNCT
ejpam-5408	251	4	6(5):5574673	6(5):5574673	PROPN
ejpam-5408	251	5	,	,	PUNCT
ejpam-5408	251	6	2021	2021	NUM
ejpam-5408	251	7	.	.	PUNCT
ejpam-5408	252	1	[	[	X
ejpam-5408	252	2	7	7	NUM
ejpam-5408	252	3	]	]	PUNCT
ejpam-5408	252	4	a.	a.	NOUN
ejpam-5408	252	5	amourah	amourah	PROPN
ejpam-5408	252	6	,	,	PUNCT
ejpam-5408	252	7	b.a	b.a	PROPN
ejpam-5408	252	8	.	.	PROPN
ejpam-5408	252	9	frasin	frasin	PROPN
ejpam-5408	252	10	,	,	PUNCT
ejpam-5408	252	11	and	and	CCONJ
ejpam-5408	252	12	tariq	tariq	PROPN
ejpam-5408	252	13	al	al	PROPN
ejpam-5408	252	14	-	-	PUNCT
ejpam-5408	252	15	hawary	hawary	PROPN
ejpam-5408	252	16	.	.	PUNCT
ejpam-5408	253	1	coefficient	coefficient	NOUN
ejpam-5408	253	2	estimates	estimate	NOUN
ejpam-5408	253	3	for	for	ADP
ejpam-5408	253	4	a	a	DET
ejpam-5408	253	5	subclass	subclass	NOUN
ejpam-5408	253	6	of	of	ADP
ejpam-5408	253	7	bi	bi	ADJ
ejpam-5408	253	8	-	-	ADJ
ejpam-5408	253	9	univalent	univalent	ADJ
ejpam-5408	253	10	functions	function	NOUN
ejpam-5408	253	11	associated	associate	VERB
ejpam-5408	253	12	with	with	ADP
ejpam-5408	253	13	symmetric	symmetric	ADJ
ejpam-5408	253	14	q	q	ADJ
ejpam-5408	253	15	-	-	ADJ
ejpam-5408	253	16	derivative	derivative	ADJ
ejpam-5408	253	17	operator	operator	NOUN
ejpam-5408	253	18	by	by	ADP
ejpam-5408	253	19	means	mean	NOUN
ejpam-5408	253	20	of	of	ADP
ejpam-5408	253	21	the	the	DET
ejpam-5408	253	22	gegenbauer	gegenbauer	NOUN
ejpam-5408	253	23	polynomials	polynomial	NOUN
ejpam-5408	253	24	.	.	PUNCT
ejpam-5408	254	1	kyungpook	kyungpook	PROPN
ejpam-5408	254	2	mathematical	mathematical	PROPN
ejpam-5408	254	3	journal	journal	PROPN
ejpam-5408	254	4	,	,	PUNCT
ejpam-5408	254	5	62:257–269	62:257–269	PROPN
ejpam-5408	254	6	,	,	PUNCT
ejpam-5408	254	7	2022	2022	NUM
ejpam-5408	254	8	.	.	PUNCT
ejpam-5408	255	1	[	[	X
ejpam-5408	255	2	8	8	NUM
ejpam-5408	255	3	]	]	X
ejpam-5408	255	4	h.	h.	PROPN
ejpam-5408	255	5	bateman	bateman	PROPN
ejpam-5408	255	6	.	.	PUNCT
ejpam-5408	255	7	higher	high	ADJ
ejpam-5408	255	8	transcendental	transcendental	ADJ
ejpam-5408	255	9	functions	function	NOUN
ejpam-5408	255	10	.	.	PUNCT
ejpam-5408	256	1	world	world	NOUN
ejpam-5408	256	2	scientific	scientific	PROPN
ejpam-5408	256	3	,	,	PUNCT
ejpam-5408	256	4	singapore	singapore	PROPN
ejpam-5408	256	5	,	,	PUNCT
ejpam-5408	256	6	1953	1953	NUM
ejpam-5408	256	7	.	.	PUNCT
ejpam-5408	257	1	[	[	X
ejpam-5408	257	2	9	9	NUM
ejpam-5408	257	3	]	]	PUNCT
ejpam-5408	257	4	d.	d.	PROPN
ejpam-5408	257	5	a.	a.	PROPN
ejpam-5408	257	6	brannan	brannan	PROPN
ejpam-5408	257	7	and	and	CCONJ
ejpam-5408	257	8	j.	j.	PROPN
ejpam-5408	257	9	g.	g.	PROPN
ejpam-5408	257	10	clunie	clunie	PROPN
ejpam-5408	257	11	.	.	PUNCT
ejpam-5408	258	1	aspects	aspect	NOUN
ejpam-5408	258	2	of	of	ADP
ejpam-5408	258	3	contemporary	contemporary	ADJ
ejpam-5408	258	4	complex	complex	ADJ
ejpam-5408	258	5	analysis	analysis	NOUN
ejpam-5408	258	6	.	.	PUNCT
ejpam-5408	259	1	academic	academic	ADJ
ejpam-5408	259	2	press	press	NOUN
ejpam-5408	259	3	,	,	PUNCT
ejpam-5408	259	4	new	new	PROPN
ejpam-5408	259	5	york	york	PROPN
ejpam-5408	259	6	,	,	PUNCT
ejpam-5408	259	7	ny	ny	PROPN
ejpam-5408	259	8	,	,	PUNCT
ejpam-5408	259	9	usa	usa	PROPN
ejpam-5408	259	10	;	;	PUNCT
ejpam-5408	259	11	university	university	PROPN
ejpam-5408	259	12	of	of	ADP
ejpam-5408	259	13	durham	durham	PROPN
ejpam-5408	259	14	,	,	PUNCT
ejpam-5408	259	15	durham	durham	PROPN
ejpam-5408	259	16	,	,	PUNCT
ejpam-5408	259	17	london	london	PROPN
ejpam-5408	259	18	uk	uk	PROPN
ejpam-5408	259	19	,	,	PUNCT
ejpam-5408	259	20	1980	1980	NUM
ejpam-5408	259	21	.	.	PUNCT
ejpam-5408	260	1	[	[	X
ejpam-5408	260	2	10	10	NUM
ejpam-5408	260	3	]	]	X
ejpam-5408	260	4	b.	b.	PROPN
ejpam-5408	260	5	g.	g.	PROPN
ejpam-5408	260	6	s.	s.	PROPN
ejpam-5408	260	7	doman	doman	PROPN
ejpam-5408	260	8	.	.	PUNCT
ejpam-5408	261	1	the	the	DET
ejpam-5408	261	2	classical	classical	ADJ
ejpam-5408	261	3	orthogonal	orthogonal	ADJ
ejpam-5408	261	4	polynomials	polynomial	NOUN
ejpam-5408	261	5	.	.	PUNCT
ejpam-5408	262	1	singapore	singapore	PROPN
ejpam-5408	262	2	,	,	PUNCT
ejpam-5408	262	3	world	world	NOUN
ejpam-5408	262	4	scientific	scientific	NOUN
ejpam-5408	262	5	,	,	PUNCT
ejpam-5408	262	6	2015	2015	NUM
ejpam-5408	262	7	.	.	PUNCT
ejpam-5408	263	1	[	[	X
ejpam-5408	263	2	11	11	NUM
ejpam-5408	263	3	]	]	PUNCT
ejpam-5408	263	4	p.	p.	NOUN
ejpam-5408	263	5	l.	l.	PROPN
ejpam-5408	263	6	duren	duren	PROPN
ejpam-5408	263	7	.	.	PUNCT
ejpam-5408	263	8	univalent	univalent	ADJ
ejpam-5408	263	9	functions	function	NOUN
ejpam-5408	263	10	.	.	PUNCT
ejpam-5408	264	1	springer	springer	NOUN
ejpam-5408	264	2	science	science	NOUN
ejpam-5408	264	3	and	and	CCONJ
ejpam-5408	264	4	business	business	NOUN
ejpam-5408	264	5	media	medium	NOUN
ejpam-5408	264	6	,	,	PUNCT
ejpam-5408	264	7	2001	2001	NUM
ejpam-5408	264	8	.	.	PUNCT
ejpam-5408	265	1	references	reference	NOUN
ejpam-5408	265	2	2479	2479	NUM
ejpam-5408	266	1	[	[	X
ejpam-5408	266	2	12	12	NUM
ejpam-5408	266	3	]	]	X
ejpam-5408	266	4	b.	b.	PROPN
ejpam-5408	266	5	a.	a.	PROPN
ejpam-5408	266	6	frasin	frasin	PROPN
ejpam-5408	266	7	,	,	PUNCT
ejpam-5408	266	8	t.	t.	PROPN
ejpam-5408	266	9	al	al	PROPN
ejpam-5408	266	10	-	-	PUNCT
ejpam-5408	266	11	hawary	hawary	PROPN
ejpam-5408	266	12	,	,	PUNCT
ejpam-5408	266	13	f.	f.	PROPN
ejpam-5408	266	14	yousef	yousef	PROPN
ejpam-5408	266	15	,	,	PUNCT
ejpam-5408	266	16	and	and	CCONJ
ejpam-5408	266	17	i.	i.	PROPN
ejpam-5408	266	18	aldawish	aldawish	PROPN
ejpam-5408	266	19	.	.	PUNCT
ejpam-5408	267	1	on	on	ADP
ejpam-5408	267	2	subclasses	subclass	NOUN
ejpam-5408	267	3	of	of	ADP
ejpam-5408	267	4	analytic	analytic	ADJ
ejpam-5408	267	5	functions	function	NOUN
ejpam-5408	267	6	associated	associate	VERB
ejpam-5408	267	7	with	with	ADP
ejpam-5408	267	8	struve	struve	PROPN
ejpam-5408	267	9	functions	function	NOUN
ejpam-5408	267	10	.	.	PUNCT
ejpam-5408	268	1	nonlinear	nonlinear	ADJ
ejpam-5408	268	2	functional	functional	ADJ
ejpam-5408	268	3	analysis	analysis	NOUN
ejpam-5408	268	4	and	and	CCONJ
ejpam-5408	268	5	applications	application	NOUN
ejpam-5408	268	6	,	,	PUNCT
ejpam-5408	268	7	27(1):99–110	27(1):99–110	NUM
ejpam-5408	268	8	,	,	PUNCT
ejpam-5408	268	9	2022	2022	NUM
ejpam-5408	268	10	.	.	PUNCT
ejpam-5408	269	1	[	[	X
ejpam-5408	269	2	13	13	NUM
ejpam-5408	269	3	]	]	X
ejpam-5408	269	4	b.	b.	PROPN
ejpam-5408	269	5	a.	a.	PROPN
ejpam-5408	269	6	frasin	frasin	PROPN
ejpam-5408	269	7	and	and	CCONJ
ejpam-5408	269	8	m.	m.	PROPN
ejpam-5408	269	9	k.	k.	PROPN
ejpam-5408	269	10	aouf	aouf	PROPN
ejpam-5408	269	11	.	.	PUNCT
ejpam-5408	270	1	new	new	ADJ
ejpam-5408	270	2	subclasses	subclass	NOUN
ejpam-5408	270	3	of	of	ADP
ejpam-5408	270	4	bi	bi	ADJ
ejpam-5408	270	5	-	-	ADJ
ejpam-5408	270	6	univalent	univalent	ADJ
ejpam-5408	270	7	functions	function	NOUN
ejpam-5408	270	8	.	.	PUNCT
ejpam-5408	271	1	applied	apply	VERB
ejpam-5408	271	2	mathematics	mathematics	NOUN
ejpam-5408	271	3	letters	letter	NOUN
ejpam-5408	271	4	,	,	PUNCT
ejpam-5408	271	5	24(9):1569–1573	24(9):1569–1573	NUM
ejpam-5408	271	6	,	,	PUNCT
ejpam-5408	271	7	2011	2011	NUM
ejpam-5408	271	8	.	.	PUNCT
ejpam-5408	272	1	[	[	X
ejpam-5408	272	2	14	14	NUM
ejpam-5408	272	3	]	]	X
ejpam-5408	272	4	b.	b.	PROPN
ejpam-5408	272	5	a.	a.	PROPN
ejpam-5408	272	6	frasin	frasin	PROPN
ejpam-5408	272	7	,	,	PUNCT
ejpam-5408	272	8	f.	f.	PROPN
ejpam-5408	272	9	yousef	yousef	PROPN
ejpam-5408	272	10	,	,	PUNCT
ejpam-5408	272	11	t.	t.	PROPN
ejpam-5408	272	12	al	al	PROPN
ejpam-5408	272	13	-	-	PUNCT
ejpam-5408	272	14	hawary	hawary	PROPN
ejpam-5408	272	15	,	,	PUNCT
ejpam-5408	272	16	and	and	CCONJ
ejpam-5408	272	17	i.	i.	PROPN
ejpam-5408	272	18	aldawish	aldawish	PROPN
ejpam-5408	272	19	.	.	PUNCT
ejpam-5408	273	1	application	application	NOUN
ejpam-5408	273	2	of	of	ADP
ejpam-5408	273	3	generalized	generalized	ADJ
ejpam-5408	273	4	bessel	bessel	NOUN
ejpam-5408	273	5	functions	function	NOUN
ejpam-5408	273	6	to	to	ADP
ejpam-5408	273	7	classes	class	NOUN
ejpam-5408	273	8	of	of	ADP
ejpam-5408	273	9	analytic	analytic	ADJ
ejpam-5408	273	10	functions	function	NOUN
ejpam-5408	273	11	.	.	PUNCT
ejpam-5408	274	1	afrika	afrika	ADJ
ejpam-5408	274	2	matematika	matematika	PROPN
ejpam-5408	274	3	,	,	PUNCT
ejpam-5408	274	4	32:431–439	32:431–439	PROPN
ejpam-5408	274	5	,	,	PUNCT
ejpam-5408	274	6	2021	2021	NUM
ejpam-5408	274	7	.	.	PUNCT
ejpam-5408	275	1	[	[	X
ejpam-5408	275	2	15	15	NUM
ejpam-5408	275	3	]	]	X
ejpam-5408	275	4	a.	a.	NOUN
ejpam-5408	275	5	hussen	hussen	PROPN
ejpam-5408	275	6	.	.	PUNCT
ejpam-5408	276	1	an	an	DET
ejpam-5408	276	2	application	application	NOUN
ejpam-5408	276	3	of	of	ADP
ejpam-5408	276	4	the	the	DET
ejpam-5408	276	5	mittag	mittag	ADJ
ejpam-5408	276	6	-	-	PUNCT
ejpam-5408	276	7	leffler	leffler	NOUN
ejpam-5408	276	8	-	-	PUNCT
ejpam-5408	276	9	type	type	NOUN
ejpam-5408	276	10	borel	borel	NOUN
ejpam-5408	276	11	distribution	distribution	NOUN
ejpam-5408	276	12	and	and	CCONJ
ejpam-5408	276	13	gegenbauer	gegenbauer	NOUN
ejpam-5408	276	14	polynomials	polynomial	NOUN
ejpam-5408	276	15	on	on	ADP
ejpam-5408	276	16	a	a	DET
ejpam-5408	276	17	certain	certain	ADJ
ejpam-5408	276	18	subclass	subclass	NOUN
ejpam-5408	276	19	of	of	ADP
ejpam-5408	276	20	bi	bi	ADJ
ejpam-5408	276	21	-	-	ADJ
ejpam-5408	276	22	univalent	univalent	ADJ
ejpam-5408	276	23	functions	function	NOUN
ejpam-5408	276	24	.	.	PUNCT
ejpam-5408	277	1	heliyon	heliyon	NOUN
ejpam-5408	277	2	,	,	PUNCT
ejpam-5408	277	3	9	9	NUM
ejpam-5408	277	4	:	:	PUNCT
ejpam-5408	277	5	e31469	e31469	NOUN
ejpam-5408	277	6	,	,	PUNCT
ejpam-5408	277	7	2024	2024	NUM
ejpam-5408	277	8	.	.	PUNCT
ejpam-5408	278	1	[	[	X
ejpam-5408	278	2	16	16	NUM
ejpam-5408	278	3	]	]	PUNCT
ejpam-5408	278	4	a.	a.	NOUN
ejpam-5408	278	5	hussen	hussen	PROPN
ejpam-5408	278	6	and	and	CCONJ
ejpam-5408	278	7	m.	m.	NOUN
ejpam-5408	278	8	m.	m.	NOUN
ejpam-5408	278	9	alamari	alamari	PROPN
ejpam-5408	278	10	.	.	PUNCT
ejpam-5408	279	1	bounds	bound	NOUN
ejpam-5408	279	2	on	on	ADP
ejpam-5408	279	3	coefficients	coefficient	NOUN
ejpam-5408	279	4	for	for	ADP
ejpam-5408	279	5	a	a	DET
ejpam-5408	279	6	subclass	subclass	NOUN
ejpam-5408	279	7	of	of	ADP
ejpam-5408	279	8	bi	bi	ADJ
ejpam-5408	279	9	-	-	ADJ
ejpam-5408	279	10	univalent	univalent	ADJ
ejpam-5408	279	11	functions	function	NOUN
ejpam-5408	279	12	with	with	ADP
ejpam-5408	279	13	lucas	lucas	NOUN
ejpam-5408	279	14	-	-	PUNCT
ejpam-5408	279	15	balancing	balance	VERB
ejpam-5408	279	16	polynomials	polynomial	NOUN
ejpam-5408	279	17	and	and	CCONJ
ejpam-5408	279	18	ruscheweyh	ruscheweyh	VERB
ejpam-5408	279	19	derivative	derivative	ADJ
ejpam-5408	279	20	operator	operator	NOUN
ejpam-5408	279	21	.	.	PUNCT
ejpam-5408	280	1	international	international	ADJ
ejpam-5408	280	2	journal	journal	PROPN
ejpam-5408	280	3	of	of	ADP
ejpam-5408	280	4	mathematics	mathematic	NOUN
ejpam-5408	280	5	and	and	CCONJ
ejpam-5408	280	6	computer	computer	NOUN
ejpam-5408	280	7	science	science	NOUN
ejpam-5408	280	8	,	,	PUNCT
ejpam-5408	280	9	19(4):1237–1249	19(4):1237–1249	NUM
ejpam-5408	280	10	,	,	PUNCT
ejpam-5408	280	11	2024	2024	NUM
ejpam-5408	280	12	.	.	PUNCT
ejpam-5408	281	1	[	[	X
ejpam-5408	281	2	17	17	NUM
ejpam-5408	281	3	]	]	PUNCT
ejpam-5408	281	4	a.	a.	NOUN
ejpam-5408	281	5	hussen	hussen	PROPN
ejpam-5408	281	6	and	and	CCONJ
ejpam-5408	281	7	m.	m.	NOUN
ejpam-5408	281	8	illafe	illafe	ADJ
ejpam-5408	281	9	.	.	PUNCT
ejpam-5408	282	1	coefficient	coefficient	NOUN
ejpam-5408	282	2	bounds	bound	VERB
ejpam-5408	282	3	for	for	ADP
ejpam-5408	282	4	a	a	DET
ejpam-5408	282	5	certain	certain	ADJ
ejpam-5408	282	6	subclass	subclass	NOUN
ejpam-5408	282	7	of	of	ADP
ejpam-5408	282	8	bi	bi	ADJ
ejpam-5408	282	9	-	-	ADJ
ejpam-5408	282	10	univalent	univalent	ADJ
ejpam-5408	282	11	functions	function	NOUN
ejpam-5408	282	12	associated	associate	VERB
ejpam-5408	282	13	with	with	ADP
ejpam-5408	282	14	lucas	lucas	NOUN
ejpam-5408	282	15	-	-	PUNCT
ejpam-5408	282	16	balancing	balance	VERB
ejpam-5408	282	17	polynomials	polynomial	NOUN
ejpam-5408	282	18	.	.	PUNCT
ejpam-5408	283	1	mathematics	mathematic	NOUN
ejpam-5408	283	2	,	,	PUNCT
ejpam-5408	283	3	11(24	11(24	NUM
ejpam-5408	283	4	)	)	PUNCT
ejpam-5408	283	5	,	,	PUNCT
ejpam-5408	283	6	2023	2023	NUM
ejpam-5408	283	7	.	.	PUNCT
ejpam-5408	284	1	[	[	X
ejpam-5408	284	2	18	18	NUM
ejpam-5408	284	3	]	]	PUNCT
ejpam-5408	284	4	a.	a.	NOUN
ejpam-5408	284	5	hussen	hussen	PROPN
ejpam-5408	284	6	,	,	PUNCT
ejpam-5408	284	7	m.	m.	NOUN
ejpam-5408	284	8	s.	s.	PROPN
ejpam-5408	284	9	madi	madi	PROPN
ejpam-5408	284	10	,	,	PUNCT
ejpam-5408	284	11	and	and	CCONJ
ejpam-5408	284	12	a.	a.	NOUN
ejpam-5408	284	13	m.	m.	NOUN
ejpam-5408	284	14	abominjil	abominjil	PROPN
ejpam-5408	284	15	.	.	PUNCT
ejpam-5408	285	1	bounding	bound	VERB
ejpam-5408	285	2	coefficients	coefficient	NOUN
ejpam-5408	285	3	for	for	ADP
ejpam-5408	285	4	certain	certain	ADJ
ejpam-5408	285	5	subclasses	subclass	NOUN
ejpam-5408	285	6	of	of	ADP
ejpam-5408	285	7	bi	bi	ADJ
ejpam-5408	285	8	-	-	ADJ
ejpam-5408	285	9	univalent	univalent	ADJ
ejpam-5408	285	10	functions	function	NOUN
ejpam-5408	285	11	related	relate	VERB
ejpam-5408	285	12	to	to	ADP
ejpam-5408	285	13	lucas	lucas	NOUN
ejpam-5408	285	14	-	-	PUNCT
ejpam-5408	285	15	balancing	balance	VERB
ejpam-5408	285	16	polynomials	polynomial	NOUN
ejpam-5408	285	17	.	.	PUNCT
ejpam-5408	286	1	aims	aim	VERB
ejpam-5408	286	2	mathematics	mathematic	NOUN
ejpam-5408	286	3	,	,	PUNCT
ejpam-5408	286	4	9(7):18034–18047	9(7):18034–18047	NUM
ejpam-5408	286	5	,	,	PUNCT
ejpam-5408	286	6	2024	2024	NUM
ejpam-5408	286	7	.	.	PUNCT
ejpam-5408	287	1	[	[	X
ejpam-5408	287	2	19	19	NUM
ejpam-5408	287	3	]	]	PUNCT
ejpam-5408	287	4	a.	a.	NOUN
ejpam-5408	287	5	hussen	hussen	PROPN
ejpam-5408	287	6	and	and	CCONJ
ejpam-5408	287	7	a.	a.	NOUN
ejpam-5408	287	8	zeyani	zeyani	PROPN
ejpam-5408	287	9	.	.	PUNCT
ejpam-5408	288	1	coefficients	coefficient	NOUN
ejpam-5408	288	2	and	and	CCONJ
ejpam-5408	288	3	fekete	fekete	PROPN
ejpam-5408	288	4	-	-	PUNCT
ejpam-5408	288	5	szegö	szegö	ADJ
ejpam-5408	288	6	functional	functional	ADJ
ejpam-5408	288	7	estimations	estimation	NOUN
ejpam-5408	288	8	of	of	ADP
ejpam-5408	288	9	bi	bi	ADJ
ejpam-5408	288	10	-	-	ADJ
ejpam-5408	288	11	univalent	univalent	ADJ
ejpam-5408	288	12	subclasses	subclass	NOUN
ejpam-5408	288	13	based	base	VERB
ejpam-5408	288	14	on	on	ADP
ejpam-5408	288	15	gegenbauer	gegenbauer	NOUN
ejpam-5408	288	16	polynomials	polynomial	NOUN
ejpam-5408	288	17	.	.	PUNCT
ejpam-5408	289	1	mathematics	mathematic	NOUN
ejpam-5408	289	2	,	,	PUNCT
ejpam-5408	289	3	11(13	11(13	NUM
ejpam-5408	289	4	)	)	PUNCT
ejpam-5408	289	5	,	,	PUNCT
ejpam-5408	289	6	2023	2023	NUM
ejpam-5408	289	7	.	.	PUNCT
ejpam-5408	290	1	[	[	X
ejpam-5408	290	2	20	20	NUM
ejpam-5408	290	3	]	]	PUNCT
ejpam-5408	290	4	m.	m.	NOUN
ejpam-5408	290	5	illafe	illafe	NOUN
ejpam-5408	290	6	,	,	PUNCT
ejpam-5408	290	7	m.	m.	NOUN
ejpam-5408	290	8	haji	haji	PROPN
ejpam-5408	290	9	mohd	mohd	PROPN
ejpam-5408	290	10	,	,	PUNCT
ejpam-5408	290	11	f.	f.	PROPN
ejpam-5408	290	12	yousef	yousef	PROPN
ejpam-5408	290	13	,	,	PUNCT
ejpam-5408	290	14	and	and	CCONJ
ejpam-5408	290	15	s.	s.	PROPN
ejpam-5408	290	16	supramaniam	supramaniam	PROPN
ejpam-5408	290	17	.	.	PUNCT
ejpam-5408	291	1	bounds	bound	VERB
ejpam-5408	291	2	for	for	ADP
ejpam-5408	291	3	the	the	DET
ejpam-5408	291	4	second	second	ADJ
ejpam-5408	291	5	hankel	hankel	NOUN
ejpam-5408	291	6	determinant	determinant	ADJ
ejpam-5408	291	7	of	of	ADP
ejpam-5408	291	8	a	a	DET
ejpam-5408	291	9	general	general	ADJ
ejpam-5408	291	10	subclass	subclass	NOUN
ejpam-5408	291	11	of	of	ADP
ejpam-5408	291	12	bi	bi	ADJ
ejpam-5408	291	13	-	-	ADJ
ejpam-5408	291	14	univalent	univalent	ADJ
ejpam-5408	291	15	functions	function	NOUN
ejpam-5408	291	16	.	.	PUNCT
ejpam-5408	292	1	international	international	ADJ
ejpam-5408	292	2	journal	journal	PROPN
ejpam-5408	292	3	of	of	ADP
ejpam-5408	292	4	mathematics	mathematic	NOUN
ejpam-5408	292	5	,	,	PUNCT
ejpam-5408	292	6	engineering	engineering	NOUN
ejpam-5408	292	7	,	,	PUNCT
ejpam-5408	292	8	and	and	CCONJ
ejpam-5408	292	9	management	management	NOUN
ejpam-5408	292	10	sciences	science	NOUN
ejpam-5408	292	11	,	,	PUNCT
ejpam-5408	292	12	9(5):1226–1239	9(5):1226–1239	NUM
ejpam-5408	292	13	,	,	PUNCT
ejpam-5408	292	14	2024	2024	NUM
ejpam-5408	292	15	.	.	PUNCT
ejpam-5408	293	1	[	[	X
ejpam-5408	293	2	21	21	NUM
ejpam-5408	293	3	]	]	PUNCT
ejpam-5408	293	4	m.	m.	NOUN
ejpam-5408	293	5	illafe	illafe	NOUN
ejpam-5408	293	6	,	,	PUNCT
ejpam-5408	293	7	f.	f.	PROPN
ejpam-5408	293	8	yousef	yousef	PROPN
ejpam-5408	293	9	,	,	PUNCT
ejpam-5408	293	10	m.	m.	NOUN
ejpam-5408	293	11	haji	haji	PROPN
ejpam-5408	293	12	mohd	mohd	PROPN
ejpam-5408	293	13	,	,	PUNCT
ejpam-5408	293	14	and	and	CCONJ
ejpam-5408	293	15	s.	s.	PROPN
ejpam-5408	293	16	supramaniam	supramaniam	PROPN
ejpam-5408	293	17	.	.	PUNCT
ejpam-5408	294	1	initial	initial	ADJ
ejpam-5408	294	2	coefficients	coefficient	NOUN
ejpam-5408	294	3	estimates	estimate	NOUN
ejpam-5408	294	4	and	and	CCONJ
ejpam-5408	294	5	fekete	fekete	PROPN
ejpam-5408	294	6	-	-	PUNCT
ejpam-5408	294	7	szegö	szegö	VERB
ejpam-5408	294	8	inequality	inequality	NOUN
ejpam-5408	294	9	problem	problem	NOUN
ejpam-5408	294	10	for	for	ADP
ejpam-5408	294	11	a	a	DET
ejpam-5408	294	12	general	general	ADJ
ejpam-5408	294	13	subclass	subclass	NOUN
ejpam-5408	294	14	of	of	ADP
ejpam-5408	294	15	bi	bi	ADJ
ejpam-5408	294	16	-	-	ADJ
ejpam-5408	294	17	univalent	univalent	ADJ
ejpam-5408	294	18	functions	function	NOUN
ejpam-5408	294	19	defined	define	VERB
ejpam-5408	294	20	by	by	ADP
ejpam-5408	294	21	subordination	subordination	NOUN
ejpam-5408	294	22	.	.	PUNCT
ejpam-5408	295	1	axioms	axiom	NOUN
ejpam-5408	295	2	,	,	PUNCT
ejpam-5408	295	3	12(3):235	12(3):235	NUM
ejpam-5408	295	4	,	,	PUNCT
ejpam-5408	295	5	2023	2023	NUM
ejpam-5408	295	6	.	.	PUNCT
ejpam-5408	296	1	[	[	X
ejpam-5408	296	2	22	22	NUM
ejpam-5408	296	3	]	]	X
ejpam-5408	296	4	f.	f.	PROPN
ejpam-5408	296	5	h.	h.	PROPN
ejpam-5408	296	6	jackson	jackson	PROPN
ejpam-5408	296	7	.	.	PUNCT
ejpam-5408	297	1	on	on	ADP
ejpam-5408	297	2	q	q	NOUN
ejpam-5408	297	3	-	-	PUNCT
ejpam-5408	297	4	functions	function	NOUN
ejpam-5408	297	5	and	and	CCONJ
ejpam-5408	297	6	a	a	DET
ejpam-5408	297	7	certain	certain	ADJ
ejpam-5408	297	8	difference	difference	NOUN
ejpam-5408	297	9	operator	operator	NOUN
ejpam-5408	297	10	.	.	PUNCT
ejpam-5408	298	1	earth	earth	PROPN
ejpam-5408	298	2	envi	envi	NOUN
ejpam-5408	298	3	.	.	PUNCT
ejpam-5408	299	1	sci	sci	PROPN
ejpam-5408	299	2	.	.	PUNCT
ejpam-5408	299	3	trans	trans	PROPN
ejpam-5408	299	4	.	.	PUNCT
ejpam-5408	300	1	royal	royal	PROPN
ejpam-5408	300	2	soci	soci	PROPN
ejpam-5408	300	3	,	,	PUNCT
ejpam-5408	300	4	46(2):253–281	46(2):253–281	NUM
ejpam-5408	300	5	,	,	PUNCT
ejpam-5408	300	6	1909	1909	NUM
ejpam-5408	300	7	.	.	PUNCT
ejpam-5408	301	1	[	[	X
ejpam-5408	301	2	23	23	NUM
ejpam-5408	301	3	]	]	PUNCT
ejpam-5408	301	4	s.	s.	PROPN
ejpam-5408	301	5	kanas	kanas	PROPN
ejpam-5408	301	6	and	and	CCONJ
ejpam-5408	301	7	d.	d.	PROPN
ejpam-5408	301	8	răducanu	răducanu	PROPN
ejpam-5408	301	9	.	.	PUNCT
ejpam-5408	302	1	some	some	DET
ejpam-5408	302	2	class	class	NOUN
ejpam-5408	302	3	of	of	ADP
ejpam-5408	302	4	analytic	analytic	ADJ
ejpam-5408	302	5	functions	function	NOUN
ejpam-5408	302	6	related	relate	VERB
ejpam-5408	302	7	to	to	ADP
ejpam-5408	302	8	conic	conic	ADJ
ejpam-5408	302	9	domains	domain	NOUN
ejpam-5408	302	10	.	.	PUNCT
ejpam-5408	303	1	mathematica	mathematica	PROPN
ejpam-5408	303	2	slovaca	slovaca	PROPN
ejpam-5408	303	3	,	,	PUNCT
ejpam-5408	303	4	64(5):1183–1196	64(5):1183–1196	NUM
ejpam-5408	303	5	,	,	PUNCT
ejpam-5408	303	6	2014	2014	NUM
ejpam-5408	303	7	.	.	PUNCT
ejpam-5408	304	1	[	[	X
ejpam-5408	304	2	24	24	NUM
ejpam-5408	304	3	]	]	PUNCT
ejpam-5408	304	4	a.	a.	PROPN
ejpam-5408	304	5	legendre	legendre	PROPN
ejpam-5408	304	6	.	.	PUNCT
ejpam-5408	305	1	recherches	recherche	NOUN
ejpam-5408	305	2	sur	sur	PROPN
ejpam-5408	305	3	l’attraction	l’attraction	PROPN
ejpam-5408	305	4	des	des	PROPN
ejpam-5408	305	5	sphéröıdes	sphéröıde	NOUN
ejpam-5408	305	6	homogènes	homogènes	PROPN
ejpam-5408	305	7	.	.	PUNCT
ejpam-5408	306	1	mémoires	mémoire	VERB
ejpam-5408	307	1	présentés	présentés	PROPN
ejpam-5408	307	2	par	par	NOUN
ejpam-5408	307	3	divers	diver	NOUN
ejpam-5408	307	4	savants	savant	NOUN
ejpam-5408	307	5	à	à	PROPN
ejpam-5408	307	6	l’académie	l’académie	PROPN
ejpam-5408	307	7	des	des	PROPN
ejpam-5408	307	8	sciences	sciences	PROPN
ejpam-5408	307	9	de	de	X
ejpam-5408	307	10	l’institut	l’institut	PROPN
ejpam-5408	307	11	de	de	X
ejpam-5408	307	12	france	france	PROPN
ejpam-5408	307	13	,	,	PUNCT
ejpam-5408	307	14	10:411–434	10:411–434	PROPN
ejpam-5408	307	15	,	,	PUNCT
ejpam-5408	307	16	1785	1785	NUM
ejpam-5408	307	17	.	.	PUNCT
ejpam-5408	308	1	[	[	X
ejpam-5408	308	2	25	25	NUM
ejpam-5408	308	3	]	]	PUNCT
ejpam-5408	308	4	m.	m.	NOUN
ejpam-5408	308	5	lewin	lewin	PROPN
ejpam-5408	308	6	.	.	PUNCT
ejpam-5408	309	1	on	on	ADP
ejpam-5408	309	2	a	a	DET
ejpam-5408	309	3	coefficient	coefficient	NOUN
ejpam-5408	309	4	problem	problem	NOUN
ejpam-5408	309	5	for	for	ADP
ejpam-5408	309	6	bi	bi	ADJ
ejpam-5408	309	7	-	-	ADJ
ejpam-5408	309	8	univalent	univalent	ADJ
ejpam-5408	309	9	functions	function	NOUN
ejpam-5408	309	10	.	.	PUNCT
ejpam-5408	310	1	proceedings	proceeding	NOUN
ejpam-5408	310	2	of	of	ADP
ejpam-5408	310	3	the	the	DET
ejpam-5408	310	4	american	american	PROPN
ejpam-5408	310	5	mathematical	mathematical	PROPN
ejpam-5408	310	6	society	society	NOUN
ejpam-5408	310	7	,	,	PUNCT
ejpam-5408	310	8	18:63–68	18:63–68	NUM
ejpam-5408	310	9	,	,	PUNCT
ejpam-5408	310	10	1967	1967	NUM
ejpam-5408	310	11	.	.	PUNCT
ejpam-5408	311	1	references	reference	NOUN
ejpam-5408	311	2	2480	2480	NUM
ejpam-5408	311	3	[	[	X
ejpam-5408	311	4	26	26	NUM
ejpam-5408	311	5	]	]	PUNCT
ejpam-5408	311	6	a.	a.	NOUN
ejpam-5408	311	7	mohammed	mohammed	PROPN
ejpam-5408	311	8	and	and	CCONJ
ejpam-5408	311	9	m.	m.	NOUN
ejpam-5408	311	10	darus	darus	NOUN
ejpam-5408	311	11	.	.	PUNCT
ejpam-5408	312	1	a	a	DET
ejpam-5408	312	2	generalized	generalized	ADJ
ejpam-5408	312	3	operator	operator	NOUN
ejpam-5408	312	4	involving	involve	VERB
ejpam-5408	312	5	the	the	DET
ejpam-5408	312	6	q	q	ADJ
ejpam-5408	312	7	-	-	ADJ
ejpam-5408	312	8	hypergeometric	hypergeometric	ADJ
ejpam-5408	312	9	function	function	NOUN
ejpam-5408	312	10	.	.	PUNCT
ejpam-5408	313	1	matematic̆ki	matematic̆ki	NOUN
ejpam-5408	313	2	vesnik	vesnik	PROPN
ejpam-5408	313	3	,	,	PUNCT
ejpam-5408	313	4	65:454–465	65:454–465	PROPN
ejpam-5408	313	5	,	,	PUNCT
ejpam-5408	313	6	2012	2012	NUM
ejpam-5408	313	7	.	.	PUNCT
ejpam-5408	314	1	[	[	X
ejpam-5408	314	2	27	27	NUM
ejpam-5408	314	3	]	]	X
ejpam-5408	314	4	g.	g.	PROPN
ejpam-5408	314	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5408	314	6	,	,	PUNCT
ejpam-5408	314	7	n.	n.	NOUN
ejpam-5408	314	8	magesh	magesh	NOUN
ejpam-5408	314	9	,	,	PUNCT
ejpam-5408	314	10	and	and	CCONJ
ejpam-5408	315	1	v.	v.	ADP
ejpam-5408	315	2	prameela	prameela	PROPN
ejpam-5408	315	3	.	.	PUNCT
ejpam-5408	316	1	coefficient	coefficient	NOUN
ejpam-5408	316	2	bounds	bound	VERB
ejpam-5408	316	3	for	for	ADP
ejpam-5408	316	4	certain	certain	ADJ
ejpam-5408	316	5	subclasses	subclass	NOUN
ejpam-5408	316	6	of	of	ADP
ejpam-5408	316	7	bi	bi	ADJ
ejpam-5408	316	8	-	-	ADJ
ejpam-5408	316	9	univalent	univalent	ADJ
ejpam-5408	316	10	function	function	NOUN
ejpam-5408	316	11	.	.	PUNCT
ejpam-5408	317	1	abstract	abstract	ADJ
ejpam-5408	317	2	and	and	CCONJ
ejpam-5408	317	3	applied	apply	VERB
ejpam-5408	317	4	analysis	analysis	NOUN
ejpam-5408	317	5	,	,	PUNCT
ejpam-5408	317	6	2013	2013	NUM
ejpam-5408	317	7	,	,	PUNCT
ejpam-5408	317	8	2013	2013	NUM
ejpam-5408	317	9	.	.	PUNCT
ejpam-5408	318	1	[	[	X
ejpam-5408	318	2	28	28	NUM
ejpam-5408	318	3	]	]	X
ejpam-5408	318	4	e.	e.	PROPN
ejpam-5408	318	5	netanyahu	netanyahu	PROPN
ejpam-5408	318	6	.	.	PUNCT
ejpam-5408	319	1	the	the	DET
ejpam-5408	319	2	minimal	minimal	ADJ
ejpam-5408	319	3	distance	distance	NOUN
ejpam-5408	319	4	of	of	ADP
ejpam-5408	319	5	the	the	DET
ejpam-5408	319	6	image	image	NOUN
ejpam-5408	319	7	boundary	boundary	ADJ
ejpam-5408	319	8	from	from	ADP
ejpam-5408	319	9	the	the	DET
ejpam-5408	319	10	origin	origin	NOUN
ejpam-5408	319	11	and	and	CCONJ
ejpam-5408	319	12	the	the	DET
ejpam-5408	319	13	second	second	ADJ
ejpam-5408	319	14	coefficient	coefficient	NOUN
ejpam-5408	319	15	of	of	ADP
ejpam-5408	319	16	a	a	DET
ejpam-5408	319	17	univalent	univalent	ADJ
ejpam-5408	319	18	function	function	NOUN
ejpam-5408	319	19	in	in	ADP
ejpam-5408	319	20	|ξ|	|ξ|	PROPN
ejpam-5408	319	21	<	<	X
ejpam-5408	319	22	1	1	NUM
ejpam-5408	319	23	.	.	PUNCT
ejpam-5408	319	24	archive	archive	NOUN
ejpam-5408	319	25	for	for	ADP
ejpam-5408	319	26	rational	rational	ADJ
ejpam-5408	319	27	mechanics	mechanic	NOUN
ejpam-5408	319	28	and	and	CCONJ
ejpam-5408	319	29	analysis	analysis	NOUN
ejpam-5408	319	30	,	,	PUNCT
ejpam-5408	319	31	32(20):100–112	32(20):100–112	NUM
ejpam-5408	319	32	,	,	PUNCT
ejpam-5408	319	33	1969	1969	NUM
ejpam-5408	319	34	.	.	PUNCT
ejpam-5408	320	1	[	[	X
ejpam-5408	320	2	29	29	NUM
ejpam-5408	320	3	]	]	X
ejpam-5408	320	4	h.	h.	PROPN
ejpam-5408	320	5	m.	m.	PROPN
ejpam-5408	320	6	srivastava	srivastava	PROPN
ejpam-5408	320	7	.	.	PUNCT
ejpam-5408	321	1	operators	operator	NOUN
ejpam-5408	321	2	of	of	ADP
ejpam-5408	321	3	basic	basic	ADJ
ejpam-5408	321	4	(	(	PUNCT
ejpam-5408	321	5	or	or	CCONJ
ejpam-5408	321	6	q-	q-	NOUN
ejpam-5408	321	7	)	)	PUNCT
ejpam-5408	321	8	calculus	calculus	NOUN
ejpam-5408	321	9	and	and	CCONJ
ejpam-5408	321	10	fractional	fractional	ADJ
ejpam-5408	321	11	q	q	NOUN
ejpam-5408	321	12	-	-	NOUN
ejpam-5408	321	13	calculus	calculus	NOUN
ejpam-5408	321	14	and	and	CCONJ
ejpam-5408	321	15	their	their	PRON
ejpam-5408	321	16	applications	application	NOUN
ejpam-5408	321	17	in	in	ADP
ejpam-5408	321	18	geometric	geometric	ADJ
ejpam-5408	321	19	function	function	NOUN
ejpam-5408	321	20	theory	theory	NOUN
ejpam-5408	321	21	of	of	ADP
ejpam-5408	321	22	complex	complex	ADJ
ejpam-5408	321	23	analysis	analysis	NOUN
ejpam-5408	321	24	.	.	PUNCT
ejpam-5408	322	1	iranian	iranian	ADJ
ejpam-5408	322	2	journal	journal	PROPN
ejpam-5408	322	3	of	of	ADP
ejpam-5408	322	4	science	science	NOUN
ejpam-5408	322	5	and	and	CCONJ
ejpam-5408	322	6	technology	technology	NOUN
ejpam-5408	322	7	,	,	PUNCT
ejpam-5408	322	8	transactions	transaction	VERB
ejpam-5408	322	9	a	a	DET
ejpam-5408	322	10	:	:	PUNCT
ejpam-5408	322	11	science	science	NOUN
ejpam-5408	322	12	,	,	PUNCT
ejpam-5408	322	13	44(1):327–344	44(1):327–344	NOUN
ejpam-5408	322	14	,	,	PUNCT
ejpam-5408	322	15	2020	2020	NUM
ejpam-5408	322	16	.	.	PUNCT
ejpam-5408	323	1	[	[	X
ejpam-5408	323	2	30	30	NUM
ejpam-5408	323	3	]	]	X
ejpam-5408	323	4	h.	h.	PROPN
ejpam-5408	323	5	m.	m.	PROPN
ejpam-5408	323	6	srivastava	srivastava	PROPN
ejpam-5408	323	7	,	,	PUNCT
ejpam-5408	323	8	a.	a.	PROPN
ejpam-5408	323	9	k.	k.	PROPN
ejpam-5408	323	10	mishra	mishra	PROPN
ejpam-5408	323	11	,	,	PUNCT
ejpam-5408	323	12	and	and	CCONJ
ejpam-5408	323	13	p.	p.	PROPN
ejpam-5408	323	14	gochhayat	gochhayat	PROPN
ejpam-5408	323	15	.	.	PUNCT
ejpam-5408	324	1	certain	certain	ADJ
ejpam-5408	324	2	subclasses	subclass	NOUN
ejpam-5408	324	3	of	of	ADP
ejpam-5408	324	4	analytic	analytic	ADJ
ejpam-5408	324	5	and	and	CCONJ
ejpam-5408	324	6	bi	bi	ADJ
ejpam-5408	324	7	-	-	ADJ
ejpam-5408	324	8	univalent	univalent	ADJ
ejpam-5408	324	9	functions	function	NOUN
ejpam-5408	324	10	.	.	PUNCT
ejpam-5408	325	1	applied	apply	VERB
ejpam-5408	325	2	mathematics	mathematics	NOUN
ejpam-5408	325	3	letters	letter	NOUN
ejpam-5408	325	4	,	,	PUNCT
ejpam-5408	325	5	23(10):1188–1192	23(10):1188–1192	NUM
ejpam-5408	325	6	,	,	PUNCT
ejpam-5408	325	7	2010	2010	NUM
ejpam-5408	325	8	.	.	PUNCT
ejpam-5408	326	1	[	[	X
ejpam-5408	326	2	31	31	NUM
ejpam-5408	326	3	]	]	PUNCT
ejpam-5408	326	4	f.	f.	PROPN
ejpam-5408	326	5	yousef	yousef	PROPN
ejpam-5408	326	6	,	,	PUNCT
ejpam-5408	326	7	s.	s.	PROPN
ejpam-5408	326	8	alroud	alroud	PROPN
ejpam-5408	326	9	,	,	PUNCT
ejpam-5408	326	10	and	and	CCONJ
ejpam-5408	326	11	m.	m.	NOUN
ejpam-5408	326	12	illafe	illafe	ADJ
ejpam-5408	326	13	.	.	PUNCT
ejpam-5408	327	1	a	a	DET
ejpam-5408	327	2	comprehensive	comprehensive	ADJ
ejpam-5408	327	3	subclass	subclass	NOUN
ejpam-5408	327	4	of	of	ADP
ejpam-5408	327	5	bi	bi	ADJ
ejpam-5408	327	6	-	-	ADJ
ejpam-5408	327	7	univalent	univalent	ADJ
ejpam-5408	327	8	functions	function	NOUN
ejpam-5408	327	9	associated	associate	VERB
ejpam-5408	327	10	with	with	ADP
ejpam-5408	327	11	chebyshev	chebyshev	NOUN
ejpam-5408	327	12	polynomials	polynomial	NOUN
ejpam-5408	327	13	of	of	ADP
ejpam-5408	327	14	the	the	DET
ejpam-5408	327	15	second	second	ADJ
ejpam-5408	327	16	kind	kind	NOUN
ejpam-5408	327	17	.	.	PUNCT
ejpam-5408	328	1	bolet́ın	bolet́ın	ADJ
ejpam-5408	328	2	de	de	X
ejpam-5408	328	3	la	la	PROPN
ejpam-5408	328	4	sociedad	sociedad	PROPN
ejpam-5408	328	5	matemática	matemática	PROPN
ejpam-5408	328	6	mexicana	mexicana	PROPN
ejpam-5408	328	7	,	,	PUNCT
ejpam-5408	328	8	26:329–339	26:329–339	NUM
ejpam-5408	328	9	,	,	PUNCT
ejpam-5408	328	10	2020	2020	NUM
ejpam-5408	328	11	.	.	PUNCT
ejpam-5408	329	1	[	[	X
ejpam-5408	329	2	32	32	NUM
ejpam-5408	329	3	]	]	PUNCT
ejpam-5408	329	4	f.	f.	PROPN
ejpam-5408	329	5	yousef	yousef	PROPN
ejpam-5408	329	6	,	,	PUNCT
ejpam-5408	329	7	s.	s.	PROPN
ejpam-5408	329	8	alroud	alroud	PROPN
ejpam-5408	329	9	,	,	PUNCT
ejpam-5408	329	10	and	and	CCONJ
ejpam-5408	329	11	m.	m.	NOUN
ejpam-5408	329	12	illafe	illafe	ADJ
ejpam-5408	329	13	.	.	PUNCT
ejpam-5408	330	1	new	new	ADJ
ejpam-5408	330	2	subclasses	subclass	NOUN
ejpam-5408	330	3	of	of	ADP
ejpam-5408	330	4	analytic	analytic	ADJ
ejpam-5408	330	5	and	and	CCONJ
ejpam-5408	330	6	bi	bi	ADJ
ejpam-5408	330	7	-	-	ADJ
ejpam-5408	330	8	univalent	univalent	ADJ
ejpam-5408	330	9	functions	function	NOUN
ejpam-5408	330	10	endowed	endow	VERB
ejpam-5408	330	11	with	with	ADP
ejpam-5408	330	12	coefficient	coefficient	NOUN
ejpam-5408	330	13	estimate	estimate	NOUN
ejpam-5408	330	14	problems	problem	NOUN
ejpam-5408	330	15	.	.	PUNCT
ejpam-5408	331	1	analysis	analysis	NOUN
ejpam-5408	331	2	in	in	ADP
ejpam-5408	331	3	mathematical	mathematical	ADJ
ejpam-5408	331	4	physics	physics	NOUN
ejpam-5408	331	5	,	,	PUNCT
ejpam-5408	331	6	11(58):1–12	11(58):1–12	NUM
ejpam-5408	331	7	,	,	PUNCT
ejpam-5408	331	8	2021	2021	NUM
ejpam-5408	331	9	.	.	PUNCT
ejpam-5408	332	1	[	[	X
ejpam-5408	332	2	33	33	NUM
ejpam-5408	332	3	]	]	PUNCT
ejpam-5408	332	4	f.	f.	PROPN
ejpam-5408	332	5	yousef	yousef	PROPN
ejpam-5408	332	6	,	,	PUNCT
ejpam-5408	332	7	a.	a.	PROPN
ejpam-5408	332	8	amourah	amourah	PROPN
ejpam-5408	332	9	,	,	PUNCT
ejpam-5408	332	10	b.	b.	PROPN
ejpam-5408	332	11	a.	a.	PROPN
ejpam-5408	332	12	frasin	frasin	PROPN
ejpam-5408	332	13	,	,	PUNCT
ejpam-5408	332	14	and	and	CCONJ
ejpam-5408	332	15	t.	t.	PROPN
ejpam-5408	332	16	bulboacă.	bulboacă.	PROPN
ejpam-5408	332	17	an	an	DET
ejpam-5408	332	18	avant	avant	ADJ
ejpam-5408	332	19	-	-	PUNCT
ejpam-5408	332	20	garde	garde	ADJ
ejpam-5408	332	21	construction	construction	NOUN
ejpam-5408	332	22	for	for	ADP
ejpam-5408	332	23	subclasses	subclass	NOUN
ejpam-5408	332	24	of	of	ADP
ejpam-5408	332	25	analytic	analytic	ADJ
ejpam-5408	332	26	bi	bi	ADJ
ejpam-5408	332	27	-	-	ADJ
ejpam-5408	332	28	univalent	univalent	ADJ
ejpam-5408	332	29	functions	function	NOUN
ejpam-5408	332	30	.	.	PUNCT
ejpam-5408	333	1	axioms	axiom	NOUN
ejpam-5408	333	2	,	,	PUNCT
ejpam-5408	333	3	11(6	11(6	NUM
ejpam-5408	333	4	)	)	PUNCT
ejpam-5408	333	5	,	,	PUNCT
ejpam-5408	333	6	2022	2022	NUM
ejpam-5408	333	7	.	.	PUNCT
ejpam-5408	334	1	[	[	X
ejpam-5408	334	2	34	34	NUM
ejpam-5408	334	3	]	]	X
ejpam-5408	334	4	f.	f.	PROPN
ejpam-5408	334	5	yousef	yousef	PROPN
ejpam-5408	334	6	,	,	PUNCT
ejpam-5408	334	7	b.	b.	PROPN
ejpam-5408	334	8	a.	a.	PROPN
ejpam-5408	334	9	frasin	frasin	PROPN
ejpam-5408	334	10	,	,	PUNCT
ejpam-5408	334	11	and	and	CCONJ
ejpam-5408	334	12	t.	t.	PROPN
ejpam-5408	334	13	al	al	PROPN
ejpam-5408	334	14	-	-	PUNCT
ejpam-5408	334	15	hawary	hawary	PROPN
ejpam-5408	334	16	.	.	PUNCT
ejpam-5408	335	1	fekete	fekete	PROPN
ejpam-5408	335	2	-	-	PUNCT
ejpam-5408	335	3	szegö	szegö	PROPN
ejpam-5408	335	4	inequality	inequality	NOUN
ejpam-5408	335	5	for	for	ADP
ejpam-5408	335	6	analytic	analytic	ADJ
ejpam-5408	335	7	and	and	CCONJ
ejpam-5408	335	8	bi	bi	ADJ
ejpam-5408	335	9	-	-	ADJ
ejpam-5408	335	10	univalent	univalent	ADJ
ejpam-5408	335	11	functions	function	NOUN
ejpam-5408	335	12	subordinate	subordinate	VERB
ejpam-5408	335	13	to	to	ADP
ejpam-5408	335	14	chebyshev	chebyshev	NOUN
ejpam-5408	335	15	polynomials	polynomial	NOUN
ejpam-5408	335	16	.	.	PUNCT
ejpam-5408	336	1	filomat	filomat	NOUN
ejpam-5408	336	2	,	,	PUNCT
ejpam-5408	336	3	32(9):3229	32(9):3229	NUM
ejpam-5408	336	4	–	–	PUNCT
ejpam-5408	336	5	3236	3236	NUM
ejpam-5408	336	6	,	,	PUNCT
ejpam-5408	336	7	2018	2018	NUM
ejpam-5408	336	8	.	.	PUNCT