id	sid	tid	token	lemma	pos
ejpam-5334	1	1	european	european	PROPN
ejpam-5334	1	2	journal	journal	PROPN
ejpam-5334	1	3	of	of	ADP
ejpam-5334	1	4	pure	pure	ADJ
ejpam-5334	1	5	and	and	CCONJ
ejpam-5334	1	6	applied	apply	VERB
ejpam-5334	1	7	mathematics	mathematic	NOUN
ejpam-5334	1	8	vol	vol	NOUN
ejpam-5334	1	9	.	.	PROPN
ejpam-5334	2	1	17	17	NUM
ejpam-5334	2	2	,	,	PUNCT
ejpam-5334	2	3	no	no	INTJ
ejpam-5334	2	4	.	.	NOUN
ejpam-5334	2	5	4	4	NUM
ejpam-5334	2	6	,	,	PUNCT
ejpam-5334	2	7	2024	2024	NUM
ejpam-5334	2	8	,	,	PUNCT
ejpam-5334	2	9	2538	2538	NUM
ejpam-5334	2	10	-	-	SYM
ejpam-5334	2	11	2549	2549	NUM
ejpam-5334	2	12	issn	issn	PROPN
ejpam-5334	2	13	1307	1307	NUM
ejpam-5334	2	14	-	-	SYM
ejpam-5334	2	15	5543	5543	NUM
ejpam-5334	2	16	–	–	PUNCT
ejpam-5334	2	17	ejpam.com	ejpam.com	X
ejpam-5334	2	18	published	publish	VERB
ejpam-5334	2	19	by	by	ADP
ejpam-5334	2	20	new	new	PROPN
ejpam-5334	2	21	york	york	PROPN
ejpam-5334	2	22	business	business	PROPN
ejpam-5334	2	23	global	global	PROPN
ejpam-5334	2	24	inclusive	inclusive	ADJ
ejpam-5334	2	25	subclasses	subclass	NOUN
ejpam-5334	2	26	of	of	ADP
ejpam-5334	2	27	bi	bi	ADJ
ejpam-5334	2	28	-	-	ADJ
ejpam-5334	2	29	univalent	univalent	ADJ
ejpam-5334	2	30	functions	function	NOUN
ejpam-5334	2	31	specified	specify	VERB
ejpam-5334	2	32	by	by	ADP
ejpam-5334	2	33	euler	euler	NOUN
ejpam-5334	2	34	polynomials	polynomials	PROPN
ejpam-5334	2	35	basem	basem	PROPN
ejpam-5334	2	36	aref	aref	PROPN
ejpam-5334	2	37	frasin1	frasin1	PROPN
ejpam-5334	2	38	,	,	PUNCT
ejpam-5334	2	39	tariq	tariq	PROPN
ejpam-5334	2	40	al	al	PROPN
ejpam-5334	2	41	-	-	PUNCT
ejpam-5334	2	42	hawary2,4,∗	hawary2,4,∗	PROPN
ejpam-5334	2	43	,	,	PUNCT
ejpam-5334	2	44	ala	ala	PROPN
ejpam-5334	2	45	amourah3,7	amourah3,7	PROPN
ejpam-5334	2	46	,	,	PUNCT
ejpam-5334	2	47	jamal	jamal	PROPN
ejpam-5334	2	48	salah5	salah5	PROPN
ejpam-5334	2	49	,	,	PUNCT
ejpam-5334	2	50	oqlah	oqlah	VERB
ejpam-5334	2	51	al	al	PROPN
ejpam-5334	2	52	-	-	PUNCT
ejpam-5334	2	53	refai6	refai6	PROPN
ejpam-5334	2	54	1	1	NUM
ejpam-5334	2	55	faculty	faculty	NOUN
ejpam-5334	2	56	of	of	ADP
ejpam-5334	2	57	science	science	NOUN
ejpam-5334	2	58	,	,	PUNCT
ejpam-5334	2	59	department	department	NOUN
ejpam-5334	2	60	of	of	ADP
ejpam-5334	2	61	mathematics	mathematics	PROPN
ejpam-5334	2	62	,	,	PUNCT
ejpam-5334	2	63	al	al	PROPN
ejpam-5334	2	64	al	al	PROPN
ejpam-5334	2	65	-	-	PUNCT
ejpam-5334	2	66	bayt	bayt	ADJ
ejpam-5334	2	67	university	university	NOUN
ejpam-5334	2	68	,	,	PUNCT
ejpam-5334	2	69	p.o	p.o	PROPN
ejpam-5334	2	70	.	.	PROPN
ejpam-5334	2	71	box	box	PROPN
ejpam-5334	2	72	:	:	PUNCT
ejpam-5334	2	73	130095	130095	NUM
ejpam-5334	2	74	mafraq	mafraq	NOUN
ejpam-5334	2	75	,	,	PUNCT
ejpam-5334	2	76	jordan	jordan	PROPN
ejpam-5334	2	77	2	2	NUM
ejpam-5334	2	78	department	department	NOUN
ejpam-5334	2	79	of	of	ADP
ejpam-5334	2	80	applied	apply	VERB
ejpam-5334	2	81	science	science	NOUN
ejpam-5334	2	82	,	,	PUNCT
ejpam-5334	2	83	ajloun	ajloun	PROPN
ejpam-5334	2	84	college	college	NOUN
ejpam-5334	2	85	,	,	PUNCT
ejpam-5334	2	86	al	al	PROPN
ejpam-5334	2	87	balqa	balqa	NOUN
ejpam-5334	2	88	applied	apply	VERB
ejpam-5334	2	89	university	university	NOUN
ejpam-5334	2	90	,	,	PUNCT
ejpam-5334	2	91	ajloun	ajloun	NOUN
ejpam-5334	2	92	26816	26816	NUM
ejpam-5334	2	93	.	.	PUNCT
ejpam-5334	3	1	jordan	jordan	PROPN
ejpam-5334	3	2	3	3	NUM
ejpam-5334	3	3	mathematics	mathematics	PROPN
ejpam-5334	3	4	education	education	NOUN
ejpam-5334	3	5	program	program	NOUN
ejpam-5334	3	6	,	,	PUNCT
ejpam-5334	3	7	faculty	faculty	NOUN
ejpam-5334	3	8	of	of	ADP
ejpam-5334	3	9	education	education	NOUN
ejpam-5334	3	10	and	and	CCONJ
ejpam-5334	3	11	arts	art	NOUN
ejpam-5334	3	12	,	,	PUNCT
ejpam-5334	3	13	sohar	sohar	PROPN
ejpam-5334	3	14	university	university	PROPN
ejpam-5334	3	15	,	,	PUNCT
ejpam-5334	3	16	sohar	sohar	PROPN
ejpam-5334	3	17	3111	3111	PROPN
ejpam-5334	3	18	,	,	PUNCT
ejpam-5334	3	19	oman	oman	NOUN
ejpam-5334	3	20	4	4	NUM
ejpam-5334	3	21	jadara	jadara	PROPN
ejpam-5334	3	22	research	research	NOUN
ejpam-5334	3	23	center	center	NOUN
ejpam-5334	3	24	,	,	PUNCT
ejpam-5334	3	25	jadara	jadara	PROPN
ejpam-5334	3	26	university	university	PROPN
ejpam-5334	3	27	,	,	PUNCT
ejpam-5334	3	28	irbid	irbid	VERB
ejpam-5334	3	29	21110	21110	NUM
ejpam-5334	3	30	,	,	PUNCT
ejpam-5334	3	31	jordan	jordan	PROPN
ejpam-5334	3	32	5	5	NUM
ejpam-5334	3	33	college	college	NOUN
ejpam-5334	3	34	of	of	ADP
ejpam-5334	3	35	applied	apply	VERB
ejpam-5334	3	36	and	and	CCONJ
ejpam-5334	3	37	health	health	NOUN
ejpam-5334	3	38	sciences	science	NOUN
ejpam-5334	3	39	,	,	PUNCT
ejpam-5334	3	40	a’sharqiyah	a’sharqiyah	PROPN
ejpam-5334	3	41	university	university	NOUN
ejpam-5334	3	42	,	,	PUNCT
ejpam-5334	4	1	post	post	PROPN
ejpam-5334	4	2	box	box	PROPN
ejpam-5334	4	3	no	no	INTJ
ejpam-5334	4	4	.	.	PROPN
ejpam-5334	4	5	42	42	NUM
ejpam-5334	4	6	,	,	PUNCT
ejpam-5334	4	7	post	post	VERB
ejpam-5334	4	8	code	code	NOUN
ejpam-5334	4	9	no	no	INTJ
ejpam-5334	4	10	.	.	NOUN
ejpam-5334	4	11	400	400	NUM
ejpam-5334	4	12	ibra	ibra	NOUN
ejpam-5334	4	13	,	,	PUNCT
ejpam-5334	4	14	sultanate	sultanate	NOUN
ejpam-5334	4	15	of	of	ADP
ejpam-5334	4	16	oman	oman	PROPN
ejpam-5334	4	17	6	6	NUM
ejpam-5334	4	18	department	department	NOUN
ejpam-5334	4	19	of	of	ADP
ejpam-5334	4	20	mathematics	mathematic	NOUN
ejpam-5334	4	21	,	,	PUNCT
ejpam-5334	4	22	faculty	faculty	NOUN
ejpam-5334	4	23	of	of	ADP
ejpam-5334	4	24	science	science	NOUN
ejpam-5334	4	25	,	,	PUNCT
ejpam-5334	4	26	zarqa	zarqa	PROPN
ejpam-5334	4	27	university	university	PROPN
ejpam-5334	4	28	,	,	PUNCT
ejpam-5334	4	29	zarqa	zarqa	PROPN
ejpam-5334	4	30	13132	13132	NUM
ejpam-5334	4	31	,	,	PUNCT
ejpam-5334	4	32	jordan	jordan	PROPN
ejpam-5334	4	33	7	7	NUM
ejpam-5334	4	34	applied	apply	VERB
ejpam-5334	4	35	science	science	NOUN
ejpam-5334	4	36	research	research	NOUN
ejpam-5334	4	37	center	center	NOUN
ejpam-5334	4	38	.	.	PUNCT
ejpam-5334	5	1	applied	apply	VERB
ejpam-5334	5	2	science	science	PROPN
ejpam-5334	5	3	private	private	ADJ
ejpam-5334	5	4	university	university	NOUN
ejpam-5334	5	5	,	,	PUNCT
ejpam-5334	5	6	amman	amman	PROPN
ejpam-5334	5	7	,	,	PUNCT
ejpam-5334	5	8	jordan	jordan	PROPN
ejpam-5334	5	9	abstract	abstract	PROPN
ejpam-5334	5	10	.	.	PUNCT
ejpam-5334	6	1	our	our	PRON
ejpam-5334	6	2	research	research	NOUN
ejpam-5334	6	3	delineates	delineate	VERB
ejpam-5334	6	4	novel	novel	NOUN
ejpam-5334	6	5	two	two	NUM
ejpam-5334	6	6	subclasses	subclass	NOUN
ejpam-5334	6	7	fπ(κ	fπ(κ	NOUN
ejpam-5334	6	8	,	,	PUNCT
ejpam-5334	6	9	ε	ε	PROPN
ejpam-5334	6	10	,	,	PUNCT
ejpam-5334	6	11	ℓ	ℓ	NOUN
ejpam-5334	6	12	)	)	PUNCT
ejpam-5334	6	13	and	and	CCONJ
ejpam-5334	6	14	lπ(φ	lπ(φ	PROPN
ejpam-5334	6	15	,	,	PUNCT
ejpam-5334	6	16	ℓ	ℓ	NOUN
ejpam-5334	6	17	)	)	PUNCT
ejpam-5334	6	18	of	of	ADP
ejpam-5334	6	19	analytical	analytical	ADJ
ejpam-5334	6	20	functions	function	NOUN
ejpam-5334	6	21	using	use	VERB
ejpam-5334	6	22	euler	euler	NOUN
ejpam-5334	6	23	polynomials	polynomial	NOUN
ejpam-5334	6	24	.	.	PUNCT
ejpam-5334	7	1	afterwards	afterwards	ADV
ejpam-5334	7	2	,	,	PUNCT
ejpam-5334	7	3	we	we	PRON
ejpam-5334	7	4	estimate	estimate	VERB
ejpam-5334	7	5	the	the	DET
ejpam-5334	7	6	fekete	fekete	PROPN
ejpam-5334	7	7	–	–	PUNCT
ejpam-5334	7	8	szegö	szegö	ADJ
ejpam-5334	7	9	functional	functional	ADJ
ejpam-5334	7	10	problem	problem	NOUN
ejpam-5334	7	11	and	and	CCONJ
ejpam-5334	7	12	the	the	DET
ejpam-5334	7	13	maclaurin	maclaurin	NOUN
ejpam-5334	7	14	coefficients	coefficient	VERB
ejpam-5334	7	15	for	for	ADP
ejpam-5334	7	16	this	this	DET
ejpam-5334	7	17	subclasses	subclass	NOUN
ejpam-5334	7	18	,	,	PUNCT
ejpam-5334	7	19	namely	namely	ADV
ejpam-5334	7	20	|c2|	|c2|	NOUN
ejpam-5334	7	21	and	and	CCONJ
ejpam-5334	7	22	|c3|	|c3|	VERB
ejpam-5334	7	23	.	.	PUNCT
ejpam-5334	8	1	additionally	additionally	ADV
ejpam-5334	8	2	,	,	PUNCT
ejpam-5334	8	3	several	several	ADJ
ejpam-5334	8	4	new	new	ADJ
ejpam-5334	8	5	results	result	NOUN
ejpam-5334	8	6	are	be	AUX
ejpam-5334	8	7	shown	show	VERB
ejpam-5334	8	8	to	to	PART
ejpam-5334	8	9	follow	follow	VERB
ejpam-5334	8	10	after	after	ADP
ejpam-5334	8	11	specializing	specialize	VERB
ejpam-5334	8	12	the	the	DET
ejpam-5334	8	13	parameters	parameter	NOUN
ejpam-5334	8	14	employed	employ	VERB
ejpam-5334	8	15	in	in	ADP
ejpam-5334	8	16	our	our	PRON
ejpam-5334	8	17	main	main	ADJ
ejpam-5334	8	18	results	result	NOUN
ejpam-5334	8	19	.	.	PUNCT
ejpam-5334	9	1	2020	2020	NUM
ejpam-5334	9	2	mathematics	mathematic	NOUN
ejpam-5334	9	3	subject	subject	NOUN
ejpam-5334	9	4	classifications	classification	NOUN
ejpam-5334	9	5	:	:	PUNCT
ejpam-5334	9	6	30c45	30c45	NUM
ejpam-5334	9	7	key	key	ADJ
ejpam-5334	9	8	words	word	NOUN
ejpam-5334	9	9	and	and	CCONJ
ejpam-5334	9	10	phrases	phrase	NOUN
ejpam-5334	9	11	:	:	PUNCT
ejpam-5334	9	12	analytic	analytic	ADJ
ejpam-5334	9	13	functions	function	NOUN
ejpam-5334	9	14	,	,	PUNCT
ejpam-5334	9	15	univalent	univalent	ADJ
ejpam-5334	9	16	and	and	CCONJ
ejpam-5334	9	17	bi	bi	ADJ
ejpam-5334	9	18	-	-	ADJ
ejpam-5334	9	19	univalent	univalent	ADJ
ejpam-5334	9	20	functions	function	NOUN
ejpam-5334	9	21	,	,	PUNCT
ejpam-5334	9	22	euler	euler	NOUN
ejpam-5334	9	23	polynomials	polynomial	NOUN
ejpam-5334	9	24	,	,	PUNCT
ejpam-5334	9	25	fekete	fekete	PROPN
ejpam-5334	9	26	-	-	PUNCT
ejpam-5334	9	27	szegö	szegö	PROPN
ejpam-5334	9	28	1	1	NUM
ejpam-5334	9	29	.	.	PUNCT
ejpam-5334	9	30	preliminaries	preliminary	NOUN
ejpam-5334	9	31	euler	euler	NOUN
ejpam-5334	9	32	polynomials	polynomial	NOUN
ejpam-5334	9	33	,	,	PUNCT
ejpam-5334	9	34	which	which	PRON
ejpam-5334	9	35	date	date	VERB
ejpam-5334	9	36	back	back	ADV
ejpam-5334	9	37	to	to	ADP
ejpam-5334	9	38	leonhard	leonhard	PROPN
ejpam-5334	9	39	euler	euler	PROPN
ejpam-5334	9	40	’s	’s	PART
ejpam-5334	9	41	research	research	NOUN
ejpam-5334	9	42	in	in	ADP
ejpam-5334	9	43	the	the	DET
ejpam-5334	9	44	eighteenth	eighteenth	ADJ
ejpam-5334	9	45	century	century	NOUN
ejpam-5334	9	46	,	,	PUNCT
ejpam-5334	9	47	are	be	AUX
ejpam-5334	9	48	fundamental	fundamental	ADJ
ejpam-5334	9	49	components	component	NOUN
ejpam-5334	9	50	for	for	ADP
ejpam-5334	9	51	articulating	articulating	ADJ
ejpam-5334	9	52	complex	complex	ADJ
ejpam-5334	9	53	functions	function	NOUN
ejpam-5334	9	54	and	and	CCONJ
ejpam-5334	9	55	comprehending	comprehend	VERB
ejpam-5334	9	56	their	their	PRON
ejpam-5334	9	57	geometric	geometric	ADJ
ejpam-5334	9	58	characteristics	characteristic	NOUN
ejpam-5334	9	59	.	.	PUNCT
ejpam-5334	10	1	they	they	PRON
ejpam-5334	10	2	play	play	VERB
ejpam-5334	10	3	a	a	DET
ejpam-5334	10	4	significant	significant	ADJ
ejpam-5334	10	5	role	role	NOUN
ejpam-5334	10	6	in	in	ADP
ejpam-5334	10	7	the	the	DET
ejpam-5334	10	8	characterization	characterization	NOUN
ejpam-5334	10	9	of	of	ADP
ejpam-5334	10	10	conformal	conformal	ADJ
ejpam-5334	10	11	mappings	mapping	NOUN
ejpam-5334	10	12	in	in	ADP
ejpam-5334	10	13	geometric	geometric	ADJ
ejpam-5334	10	14	function	function	NOUN
ejpam-5334	10	15	theory	theory	NOUN
ejpam-5334	10	16	that	that	PRON
ejpam-5334	10	17	preserve	preserve	VERB
ejpam-5334	10	18	angles	angle	NOUN
ejpam-5334	10	19	locally	locally	ADV
ejpam-5334	10	20	.	.	PUNCT
ejpam-5334	11	1	they	they	PRON
ejpam-5334	11	2	are	be	AUX
ejpam-5334	11	3	also	also	ADV
ejpam-5334	11	4	useful	useful	ADJ
ejpam-5334	11	5	in	in	ADP
ejpam-5334	11	6	the	the	DET
ejpam-5334	11	7	study	study	NOUN
ejpam-5334	11	8	of	of	ADP
ejpam-5334	11	9	univalent	univalent	ADJ
ejpam-5334	11	10	and	and	CCONJ
ejpam-5334	11	11	analytic	analytic	ADJ
ejpam-5334	11	12	functions	function	NOUN
ejpam-5334	11	13	.	.	PUNCT
ejpam-5334	12	1	∗corresponding	∗corresponde	VERB
ejpam-5334	12	2	author	author	NOUN
ejpam-5334	12	3	.	.	PUNCT
ejpam-5334	13	1	doi	doi	NOUN
ejpam-5334	13	2	:	:	PUNCT
ejpam-5334	13	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5334	https://doi.org/10.29020/nybg.ejpam.v17i4.5334	VERB
ejpam-5334	13	4	email	email	NOUN
ejpam-5334	13	5	addresses	address	NOUN
ejpam-5334	13	6	:	:	PUNCT
ejpam-5334	13	7	bafrasin@yahoo.com	bafrasin@yahoo.com	X
ejpam-5334	13	8	(	(	PUNCT
ejpam-5334	13	9	b.	b.	PROPN
ejpam-5334	13	10	a.	a.	PROPN
ejpam-5334	13	11	frasin	frasin	PROPN
ejpam-5334	13	12	)	)	PUNCT
ejpam-5334	13	13	,	,	PUNCT
ejpam-5334	13	14	tariq	tariq	NOUN
ejpam-5334	13	15	amh@bau.edu.jo	amh@bau.edu.jo	PROPN
ejpam-5334	13	16	(	(	PUNCT
ejpam-5334	13	17	t.	t.	PROPN
ejpam-5334	13	18	al	al	PROPN
ejpam-5334	13	19	-	-	PUNCT
ejpam-5334	13	20	hawary	hawary	PROPN
ejpam-5334	13	21	)	)	PUNCT
ejpam-5334	13	22	,	,	PUNCT
ejpam-5334	13	23	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-5334	13	24	(	(	PUNCT
ejpam-5334	13	25	a.	a.	NOUN
ejpam-5334	13	26	amourah	amourah	PROPN
ejpam-5334	13	27	)	)	PUNCT
ejpam-5334	13	28	,	,	PUNCT
ejpam-5334	13	29	damous73@yahoo.com	damous73@yahoo.com	X
ejpam-5334	13	30	(	(	PUNCT
ejpam-5334	13	31	j.	j.	PROPN
ejpam-5334	13	32	salah	salah	PROPN
ejpam-5334	13	33	)	)	PUNCT
ejpam-5334	13	34	,	,	PUNCT
ejpam-5334	13	35	orefai@zu.edu.jo	orefai@zu.edu.jo	NOUN
ejpam-5334	13	36	(	(	PUNCT
ejpam-5334	13	37	o.	o.	PROPN
ejpam-5334	13	38	al	al	PROPN
ejpam-5334	13	39	-	-	PUNCT
ejpam-5334	13	40	refai	refai	PROPN
ejpam-5334	13	41	)	)	PUNCT
ejpam-5334	13	42	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5334	13	43	2538	2538	NUM
ejpam-5334	14	1	copyright	copyright	NOUN
ejpam-5334	14	2	:	:	PUNCT
ejpam-5334	14	3	©	©	PROPN
ejpam-5334	14	4	2024	2024	NUM
ejpam-5334	14	5	the	the	DET
ejpam-5334	14	6	author(s	author(s	NOUN
ejpam-5334	14	7	)	)	PUNCT
ejpam-5334	14	8	.	.	PUNCT
ejpam-5334	15	1	(	(	PUNCT
ejpam-5334	15	2	cc	cc	NOUN
ejpam-5334	15	3	by	by	ADP
ejpam-5334	15	4	-	-	PUNCT
ejpam-5334	15	5	nc	nc	PROPN
ejpam-5334	15	6	4.0	4.0	NUM
ejpam-5334	15	7	)	)	PUNCT
ejpam-5334	15	8	tariq	tariq	PROPN
ejpam-5334	15	9	al	al	PROPN
ejpam-5334	15	10	-	-	PUNCT
ejpam-5334	15	11	hawary	hawary	PROPN
ejpam-5334	15	12	et	et	PROPN
ejpam-5334	15	13	al	al	PROPN
ejpam-5334	15	14	.	.	PUNCT
ejpam-5334	15	15	/	/	SYM
ejpam-5334	15	16	eur	eur	PROPN
ejpam-5334	15	17	.	.	PUNCT
ejpam-5334	16	1	j.	j.	PROPN
ejpam-5334	16	2	pure	pure	PROPN
ejpam-5334	16	3	appl	appl	PROPN
ejpam-5334	16	4	.	.	PROPN
ejpam-5334	16	5	math	math	PROPN
ejpam-5334	16	6	,	,	PUNCT
ejpam-5334	16	7	17	17	NUM
ejpam-5334	16	8	(	(	PUNCT
ejpam-5334	16	9	4	4	NUM
ejpam-5334	16	10	)	)	PUNCT
ejpam-5334	16	11	(	(	PUNCT
ejpam-5334	16	12	2024	2024	NUM
ejpam-5334	16	13	)	)	PUNCT
ejpam-5334	16	14	,	,	PUNCT
ejpam-5334	16	15	2538	2538	NUM
ejpam-5334	16	16	-	-	SYM
ejpam-5334	16	17	2549	2549	NUM
ejpam-5334	16	18	2539	2539	NUM
ejpam-5334	16	19	because	because	SCONJ
ejpam-5334	16	20	euler	euler	NOUN
ejpam-5334	16	21	polynomials	polynomial	NOUN
ejpam-5334	16	22	are	be	AUX
ejpam-5334	16	23	used	use	VERB
ejpam-5334	16	24	so	so	ADV
ejpam-5334	16	25	widely	widely	ADV
ejpam-5334	16	26	in	in	ADP
ejpam-5334	16	27	pure	pure	ADJ
ejpam-5334	16	28	mathematics	mathematic	NOUN
ejpam-5334	16	29	,	,	PUNCT
ejpam-5334	16	30	many	many	ADJ
ejpam-5334	16	31	academics	academic	NOUN
ejpam-5334	16	32	have	have	AUX
ejpam-5334	16	33	begun	begin	VERB
ejpam-5334	16	34	to	to	PART
ejpam-5334	16	35	work	work	VERB
ejpam-5334	16	36	in	in	ADP
ejpam-5334	16	37	a	a	DET
ejpam-5334	16	38	number	number	NOUN
ejpam-5334	16	39	of	of	ADP
ejpam-5334	16	40	domains	domain	NOUN
ejpam-5334	16	41	.	.	PUNCT
ejpam-5334	17	1	the	the	DET
ejpam-5334	17	2	geometric	geometric	ADJ
ejpam-5334	17	3	properties	property	NOUN
ejpam-5334	17	4	of	of	ADP
ejpam-5334	17	5	special	special	ADJ
ejpam-5334	17	6	functions	function	NOUN
ejpam-5334	17	7	and	and	CCONJ
ejpam-5334	17	8	several	several	ADJ
ejpam-5334	17	9	other	other	ADJ
ejpam-5334	17	10	related	relate	VERB
ejpam-5334	17	11	functions	function	NOUN
ejpam-5334	17	12	are	be	AUX
ejpam-5334	17	13	the	the	DET
ejpam-5334	17	14	main	main	ADJ
ejpam-5334	17	15	focus	focus	NOUN
ejpam-5334	17	16	of	of	ADP
ejpam-5334	17	17	current	current	ADJ
ejpam-5334	17	18	study	study	NOUN
ejpam-5334	17	19	in	in	ADP
ejpam-5334	17	20	geometric	geometric	ADJ
ejpam-5334	17	21	function	function	NOUN
ejpam-5334	17	22	theory	theory	NOUN
ejpam-5334	17	23	.	.	PUNCT
ejpam-5334	18	1	for	for	ADP
ejpam-5334	18	2	a	a	DET
ejpam-5334	18	3	few	few	ADJ
ejpam-5334	18	4	of	of	ADP
ejpam-5334	18	5	these	these	DET
ejpam-5334	18	6	functions	function	NOUN
ejpam-5334	18	7	geometric	geometric	ADJ
ejpam-5334	18	8	characteristics	characteristic	NOUN
ejpam-5334	18	9	,	,	PUNCT
ejpam-5334	18	10	we	we	PRON
ejpam-5334	18	11	refer	refer	VERB
ejpam-5334	18	12	to	to	ADP
ejpam-5334	18	13	[	[	X
ejpam-5334	18	14	4	4	NUM
ejpam-5334	18	15	,	,	PUNCT
ejpam-5334	18	16	17	17	NUM
ejpam-5334	18	17	]	]	PUNCT
ejpam-5334	18	18	and	and	CCONJ
ejpam-5334	18	19	any	any	DET
ejpam-5334	18	20	pertinent	pertinent	ADJ
ejpam-5334	18	21	references	reference	NOUN
ejpam-5334	18	22	.	.	PUNCT
ejpam-5334	19	1	let	let	VERB
ejpam-5334	19	2	𭟋	𭟋	PART
ejpam-5334	19	3	be	be	AUX
ejpam-5334	19	4	the	the	DET
ejpam-5334	19	5	class	class	NOUN
ejpam-5334	19	6	of	of	ADP
ejpam-5334	19	7	analytic	analytic	ADJ
ejpam-5334	19	8	functions	function	NOUN
ejpam-5334	19	9	p	p	NOUN
ejpam-5334	19	10	in	in	ADP
ejpam-5334	19	11	the	the	DET
ejpam-5334	19	12	unit	unit	NOUN
ejpam-5334	19	13	disk	disk	NOUN
ejpam-5334	19	14	∆	∆	PUNCT
ejpam-5334	19	15	=	=	PRON
ejpam-5334	19	16	{	{	PUNCT
ejpam-5334	19	17	ℶ	ℶ	PROPN
ejpam-5334	19	18	∈	∈	PROPN
ejpam-5334	19	19	c	c	NOUN
ejpam-5334	19	20	:	:	PUNCT
ejpam-5334	20	1	|ℶ|	|ℶ|	X
ejpam-5334	20	2	<	<	X
ejpam-5334	20	3	1	1	NUM
ejpam-5334	20	4	}	}	PUNCT
ejpam-5334	20	5	and	and	CCONJ
ejpam-5334	20	6	normalized	normalize	VERB
ejpam-5334	20	7	by	by	ADP
ejpam-5334	20	8	p(0	p(0	PROPN
ejpam-5334	20	9	)	)	PUNCT
ejpam-5334	20	10	=	=	SYM
ejpam-5334	20	11	p′(0)−	p′(0)−	NOUN
ejpam-5334	20	12	1	1	NUM
ejpam-5334	20	13	=	=	SYM
ejpam-5334	20	14	0	0	NUM
ejpam-5334	20	15	of	of	ADP
ejpam-5334	20	16	the	the	DET
ejpam-5334	20	17	form	form	NOUN
ejpam-5334	20	18	:	:	PUNCT
ejpam-5334	20	19	p(ℶ	p(ℶ	NOUN
ejpam-5334	20	20	)	)	PUNCT
ejpam-5334	21	1	=	=	SYM
ejpam-5334	21	2	ℶ+	ℶ+	X
ejpam-5334	22	1	∞∑	∞∑	PRON
ejpam-5334	22	2	i=2	i=2	PROPN
ejpam-5334	22	3	ciℶi	ciℶi	NOUN
ejpam-5334	22	4	,	,	PUNCT
ejpam-5334	22	5	(	(	PUNCT
ejpam-5334	22	6	ℶ	ℶ	PROPN
ejpam-5334	22	7	∈	∈	PROPN
ejpam-5334	22	8	∆	∆	PROPN
ejpam-5334	22	9	)	)	PUNCT
ejpam-5334	22	10	.	.	PUNCT
ejpam-5334	23	1	(	(	PUNCT
ejpam-5334	23	2	1	1	X
ejpam-5334	23	3	)	)	PUNCT
ejpam-5334	23	4	we	we	PRON
ejpam-5334	23	5	also	also	ADV
ejpam-5334	23	6	let	let	VERB
ejpam-5334	23	7	φ	φ	PROPN
ejpam-5334	23	8	the	the	DET
ejpam-5334	23	9	class	class	NOUN
ejpam-5334	23	10	of	of	ADP
ejpam-5334	23	11	univalent	univalent	ADJ
ejpam-5334	23	12	functions	function	NOUN
ejpam-5334	23	13	in	in	ADP
ejpam-5334	23	14	∆.	∆.	NOUN
ejpam-5334	23	15	every	every	DET
ejpam-5334	23	16	function	function	NOUN
ejpam-5334	23	17	p	p	PROPN
ejpam-5334	23	18	∈	∈	PROPN
ejpam-5334	23	19	φ	φ	PROPN
ejpam-5334	23	20	has	have	VERB
ejpam-5334	23	21	an	an	DET
ejpam-5334	23	22	inverse	inverse	NOUN
ejpam-5334	23	23	p−1	p−1	PROPN
ejpam-5334	23	24	,	,	PUNCT
ejpam-5334	23	25	defined	define	VERB
ejpam-5334	23	26	by	by	ADP
ejpam-5334	23	27	p−1(p(ℶ	p−1(p(ℶ	NOUN
ejpam-5334	23	28	)	)	PUNCT
ejpam-5334	23	29	)	)	PUNCT
ejpam-5334	24	1	=	=	SYM
ejpam-5334	24	2	ℶ	ℶ	PROPN
ejpam-5334	24	3	and	and	CCONJ
ejpam-5334	24	4	ϖ	ϖ	PROPN
ejpam-5334	24	5	=	=	X
ejpam-5334	24	6	p(p−1(ϖ))(ℶ	p(p−1(ϖ))(ℶ	X
ejpam-5334	24	7	∈	∈	NOUN
ejpam-5334	24	8	∆	∆	PROPN
ejpam-5334	24	9	,	,	PUNCT
ejpam-5334	24	10	|ϖ|	|ϖ|	X
ejpam-5334	24	11	<	<	X
ejpam-5334	24	12	s10(p	s10(p	NOUN
ejpam-5334	24	13	)	)	PUNCT
ejpam-5334	24	14	≥	≥	NOUN
ejpam-5334	24	15	1	1	NUM
ejpam-5334	24	16	4	4	NUM
ejpam-5334	24	17	)	)	PUNCT
ejpam-5334	24	18	where	where	SCONJ
ejpam-5334	24	19	p−1(ϖ	p−1(ϖ	VERB
ejpam-5334	24	20	)	)	PUNCT
ejpam-5334	24	21	=	=	SYM
ejpam-5334	24	22	h(ϖ	h(ϖ	NOUN
ejpam-5334	24	23	)	)	PUNCT
ejpam-5334	24	24	=	=	SYM
ejpam-5334	24	25	ϖ	ϖ	X
ejpam-5334	24	26	−	−	NOUN
ejpam-5334	24	27	c2ϖ	c2ϖ	NOUN
ejpam-5334	24	28	2	2	NUM
ejpam-5334	24	29	+	+	CCONJ
ejpam-5334	24	30	(	(	PUNCT
ejpam-5334	24	31	2c22	2c22	NOUN
ejpam-5334	24	32	−	−	PROPN
ejpam-5334	24	33	c3)ϖ	c3)ϖ	NOUN
ejpam-5334	24	34	3	3	NUM
ejpam-5334	24	35	−	−	NOUN
ejpam-5334	24	36	(	(	PUNCT
ejpam-5334	24	37	c4	c4	NOUN
ejpam-5334	24	38	+	+	CCONJ
ejpam-5334	24	39	5	5	NUM
ejpam-5334	24	40	,	,	PUNCT
ejpam-5334	24	41	c32	c32	NOUN
ejpam-5334	24	42	−	−	PROPN
ejpam-5334	24	43	5c3c2)ϖ	5c3c2)ϖ	NOUN
ejpam-5334	24	44	4	4	NUM
ejpam-5334	24	45	+	+	CCONJ
ejpam-5334	24	46	·	·	PUNCT
ejpam-5334	24	47	·	·	PUNCT
ejpam-5334	24	48	·	·	PUNCT
ejpam-5334	24	49	.	.	PUNCT
ejpam-5334	25	1	(	(	PUNCT
ejpam-5334	25	2	2	2	X
ejpam-5334	25	3	)	)	PUNCT
ejpam-5334	25	4	let	let	VERB
ejpam-5334	25	5	γ	γ	NOUN
ejpam-5334	25	6	the	the	DET
ejpam-5334	25	7	class	class	NOUN
ejpam-5334	25	8	of	of	ADP
ejpam-5334	25	9	bi	bi	ADJ
ejpam-5334	25	10	-	-	ADJ
ejpam-5334	25	11	univalent	univalent	ADJ
ejpam-5334	25	12	functions	function	NOUN
ejpam-5334	25	13	in	in	ADP
ejpam-5334	25	14	∆	∆	PROPN
ejpam-5334	25	15	given	give	VERB
ejpam-5334	25	16	by	by	ADP
ejpam-5334	25	17	(	(	PUNCT
ejpam-5334	25	18	1	1	NUM
ejpam-5334	25	19	)	)	PUNCT
ejpam-5334	25	20	(	(	PUNCT
ejpam-5334	25	21	a	a	DET
ejpam-5334	25	22	function	function	NOUN
ejpam-5334	25	23	p	p	NOUN
ejpam-5334	25	24	is	be	AUX
ejpam-5334	25	25	bi	bi	ADJ
ejpam-5334	25	26	-	-	ADJ
ejpam-5334	25	27	univalent	univalent	ADJ
ejpam-5334	25	28	in	in	ADP
ejpam-5334	25	29	∆	∆	PROPN
ejpam-5334	25	30	if	if	SCONJ
ejpam-5334	25	31	p	p	PROPN
ejpam-5334	25	32	and	and	CCONJ
ejpam-5334	25	33	p−1	p−1	PROPN
ejpam-5334	25	34	are	be	AUX
ejpam-5334	25	35	univalent	univalent	ADJ
ejpam-5334	25	36	in	in	ADP
ejpam-5334	25	37	∆	∆	PROPN
ejpam-5334	25	38	)	)	PUNCT
ejpam-5334	25	39	.	.	PUNCT
ejpam-5334	26	1	example	example	NOUN
ejpam-5334	26	2	in	in	ADP
ejpam-5334	26	3	the	the	DET
ejpam-5334	26	4	class	class	NOUN
ejpam-5334	26	5	γ	γ	NOUN
ejpam-5334	26	6	is	be	AUX
ejpam-5334	26	7	h(ℶ	h(ℶ	NUM
ejpam-5334	26	8	)	)	PUNCT
ejpam-5334	27	1	=	=	SYM
ejpam-5334	28	1	ℶ	ℶ	PROPN
ejpam-5334	28	2	1−ℶ	1−ℶ	NUM
ejpam-5334	28	3	but	but	CCONJ
ejpam-5334	28	4	h(ℶ	h(ℶ	NUM
ejpam-5334	28	5	)	)	PUNCT
ejpam-5334	29	1	=	=	SYM
ejpam-5334	30	1	ℶ	ℶ	PROPN
ejpam-5334	30	2	1−ℶ2	1−ℶ2	NUM
ejpam-5334	30	3	not	not	PART
ejpam-5334	30	4	members	member	NOUN
ejpam-5334	30	5	of	of	ADP
ejpam-5334	30	6	γ	γ	X
ejpam-5334	30	7	(	(	PUNCT
ejpam-5334	30	8	see	see	VERB
ejpam-5334	30	9	[	[	X
ejpam-5334	30	10	3	3	NUM
ejpam-5334	30	11	]	]	NUM
ejpam-5334	30	12	)	)	PUNCT
ejpam-5334	30	13	.	.	PUNCT
ejpam-5334	31	1	the	the	DET
ejpam-5334	31	2	first	first	ADJ
ejpam-5334	31	3	differential	differential	ADJ
ejpam-5334	31	4	subordination	subordination	NOUN
ejpam-5334	31	5	problem	problem	NOUN
ejpam-5334	31	6	introduced	introduce	VERB
ejpam-5334	31	7	miller	miller	NOUN
ejpam-5334	31	8	and	and	CCONJ
ejpam-5334	31	9	mocanu	mocanu	NOUN
ejpam-5334	32	1	[	[	X
ejpam-5334	32	2	10	10	NUM
ejpam-5334	32	3	]	]	PUNCT
ejpam-5334	32	4	,	,	PUNCT
ejpam-5334	32	5	see	see	VERB
ejpam-5334	32	6	[	[	X
ejpam-5334	32	7	11	11	NUM
ejpam-5334	32	8	]	]	PUNCT
ejpam-5334	32	9	and	and	CCONJ
ejpam-5334	32	10	[	[	X
ejpam-5334	32	11	12	12	NUM
ejpam-5334	32	12	]	]	PUNCT
ejpam-5334	32	13	.	.	PUNCT
ejpam-5334	33	1	the	the	DET
ejpam-5334	33	2	function	function	NOUN
ejpam-5334	33	3	p	p	NOUN
ejpam-5334	33	4	is	be	AUX
ejpam-5334	33	5	subordinate	subordinate	ADJ
ejpam-5334	33	6	to	to	ADP
ejpam-5334	33	7	h	h	PROPN
ejpam-5334	33	8	,	,	PUNCT
ejpam-5334	33	9	written	write	VERB
ejpam-5334	33	10	as	as	ADP
ejpam-5334	33	11	p	p	NOUN
ejpam-5334	33	12	≺	≺	NOUN
ejpam-5334	33	13	h	h	NOUN
ejpam-5334	33	14	,	,	PUNCT
ejpam-5334	33	15	if	if	SCONJ
ejpam-5334	33	16	p	p	PROPN
ejpam-5334	33	17	and	and	CCONJ
ejpam-5334	33	18	h	h	NOUN
ejpam-5334	33	19	are	be	AUX
ejpam-5334	33	20	analytic	analytic	ADJ
ejpam-5334	33	21	in	in	ADP
ejpam-5334	33	22	∆	∆	PROPN
ejpam-5334	33	23	and	and	CCONJ
ejpam-5334	33	24	exists	exist	VERB
ejpam-5334	33	25	function	function	VERB
ejpam-5334	33	26	ϖ	ϖ	X
ejpam-5334	33	27	∈	∈	PROPN
ejpam-5334	33	28	𭟋	𭟋	VERB
ejpam-5334	33	29	in	in	ADP
ejpam-5334	33	30	∆	∆	PROPN
ejpam-5334	33	31	with	with	ADP
ejpam-5334	33	32	ϖ(0	ϖ(0	NOUN
ejpam-5334	33	33	)	)	PUNCT
ejpam-5334	33	34	=	=	SYM
ejpam-5334	33	35	0	0	PUNCT
ejpam-5334	34	1	and	and	CCONJ
ejpam-5334	34	2	|ϖ(ℶ)|	|ϖ(ℶ)|	ADP
ejpam-5334	34	3	<	<	X
ejpam-5334	34	4	1	1	NUM
ejpam-5334	34	5	,	,	PUNCT
ejpam-5334	34	6	(	(	PUNCT
ejpam-5334	34	7	ℶ	ℶ	PROPN
ejpam-5334	34	8	∈	∈	PROPN
ejpam-5334	34	9	ω	ω	PROPN
ejpam-5334	34	10	)	)	PUNCT
ejpam-5334	34	11	such	such	ADJ
ejpam-5334	34	12	that	that	SCONJ
ejpam-5334	34	13	p(ℶ	p(ℶ	NOUN
ejpam-5334	34	14	)	)	PUNCT
ejpam-5334	34	15	=	=	SYM
ejpam-5334	34	16	h(ϖ(ℶ	h(ϖ(ℶ	PROPN
ejpam-5334	34	17	)	)	PUNCT
ejpam-5334	34	18	)	)	PUNCT
ejpam-5334	34	19	.	.	PUNCT
ejpam-5334	35	1	also	also	ADV
ejpam-5334	35	2	,	,	PUNCT
ejpam-5334	35	3	if	if	SCONJ
ejpam-5334	35	4	h	h	NOUN
ejpam-5334	35	5	is	be	AUX
ejpam-5334	35	6	univalent	univalent	ADJ
ejpam-5334	35	7	in	in	ADP
ejpam-5334	35	8	∆	∆	PROPN
ejpam-5334	35	9	,	,	PUNCT
ejpam-5334	35	10	then	then	ADV
ejpam-5334	35	11	p(ℶ	p(ℶ	PROPN
ejpam-5334	35	12	)	)	PUNCT
ejpam-5334	35	13	≺	≺	NOUN
ejpam-5334	35	14	h(ℶ	h(ℶ	CCONJ
ejpam-5334	35	15	)	)	PUNCT
ejpam-5334	35	16	if	if	SCONJ
ejpam-5334	35	17	and	and	CCONJ
ejpam-5334	35	18	only	only	ADV
ejpam-5334	35	19	if	if	SCONJ
ejpam-5334	35	20	p(0	p(0	PROPN
ejpam-5334	35	21	)	)	PUNCT
ejpam-5334	35	22	=	=	SYM
ejpam-5334	35	23	h(0	h(0	PROPN
ejpam-5334	35	24	)	)	PUNCT
ejpam-5334	35	25	and	and	CCONJ
ejpam-5334	35	26	p(∆	p(∆	NUM
ejpam-5334	35	27	)	)	PUNCT
ejpam-5334	35	28	⊂	⊂	PROPN
ejpam-5334	35	29	h(∆	h(∆	PROPN
ejpam-5334	35	30	)	)	PUNCT
ejpam-5334	35	31	.	.	PUNCT
ejpam-5334	36	1	many	many	ADJ
ejpam-5334	36	2	authors	author	NOUN
ejpam-5334	36	3	have	have	AUX
ejpam-5334	36	4	deduced	deduce	VERB
ejpam-5334	36	5	multiple	multiple	ADJ
ejpam-5334	36	6	subordination	subordination	NOUN
ejpam-5334	36	7	between	between	ADP
ejpam-5334	36	8	certain	certain	ADJ
ejpam-5334	36	9	classes	class	NOUN
ejpam-5334	36	10	of	of	ADP
ejpam-5334	36	11	analytic	analytic	ADJ
ejpam-5334	36	12	functions	function	NOUN
ejpam-5334	36	13	by	by	ADP
ejpam-5334	36	14	applying	apply	VERB
ejpam-5334	36	15	a	a	DET
ejpam-5334	36	16	subordination	subordination	NOUN
ejpam-5334	36	17	theorem	theorem	VERB
ejpam-5334	36	18	for	for	ADP
ejpam-5334	36	19	analytic	analytic	ADJ
ejpam-5334	36	20	functions	function	NOUN
ejpam-5334	36	21	.	.	PUNCT
ejpam-5334	37	1	,	,	PUNCT
ejpam-5334	37	2	for	for	ADP
ejpam-5334	37	3	example	example	NOUN
ejpam-5334	37	4	,	,	PUNCT
ejpam-5334	37	5	see	see	VERB
ejpam-5334	37	6	[	[	X
ejpam-5334	37	7	7	7	X
ejpam-5334	37	8	]	]	PUNCT
ejpam-5334	37	9	and	and	CCONJ
ejpam-5334	37	10	[	[	X
ejpam-5334	37	11	16	16	NUM
ejpam-5334	37	12	]	]	PUNCT
ejpam-5334	37	13	.	.	PUNCT
ejpam-5334	38	1	geometric	geometric	ADJ
ejpam-5334	38	2	function	function	NOUN
ejpam-5334	38	3	theory	theory	NOUN
ejpam-5334	38	4	offers	offer	VERB
ejpam-5334	38	5	fascinating	fascinating	ADJ
ejpam-5334	38	6	uses	use	NOUN
ejpam-5334	38	7	for	for	ADP
ejpam-5334	38	8	euler	euler	NOUN
ejpam-5334	38	9	polynomials	polynomial	NOUN
ejpam-5334	38	10	,	,	PUNCT
ejpam-5334	38	11	a	a	DET
ejpam-5334	38	12	basic	basic	ADJ
ejpam-5334	38	13	tool	tool	NOUN
ejpam-5334	38	14	in	in	ADP
ejpam-5334	38	15	mathematical	mathematical	ADJ
ejpam-5334	38	16	analysis	analysis	NOUN
ejpam-5334	38	17	,	,	PUNCT
ejpam-5334	38	18	especially	especially	ADV
ejpam-5334	38	19	when	when	SCONJ
ejpam-5334	38	20	studying	study	VERB
ejpam-5334	38	21	conformal	conformal	ADJ
ejpam-5334	38	22	mappings	mapping	NOUN
ejpam-5334	38	23	.	.	PUNCT
ejpam-5334	39	1	in	in	ADP
ejpam-5334	39	2	this	this	DET
ejpam-5334	39	3	paper	paper	NOUN
ejpam-5334	39	4	,	,	PUNCT
ejpam-5334	39	5	we	we	PRON
ejpam-5334	39	6	take	take	VERB
ejpam-5334	39	7	a	a	DET
ejpam-5334	39	8	specific	specific	ADJ
ejpam-5334	39	9	special	special	ADJ
ejpam-5334	39	10	function	function	NOUN
ejpam-5334	39	11	,	,	PUNCT
ejpam-5334	39	12	the	the	DET
ejpam-5334	39	13	euler	euler	NOUN
ejpam-5334	39	14	polynomial	polynomial	NOUN
ejpam-5334	39	15	,	,	PUNCT
ejpam-5334	39	16	and	and	CCONJ
ejpam-5334	39	17	we	we	PRON
ejpam-5334	39	18	build	build	VERB
ejpam-5334	39	19	two	two	NUM
ejpam-5334	39	20	new	new	ADJ
ejpam-5334	39	21	and	and	CCONJ
ejpam-5334	39	22	comprehensive	comprehensive	ADJ
ejpam-5334	39	23	subclasses	subclass	NOUN
ejpam-5334	39	24	of	of	ADP
ejpam-5334	39	25	bi	bi	ADJ
ejpam-5334	39	26	-	-	ADJ
ejpam-5334	39	27	univalent	univalent	ADJ
ejpam-5334	39	28	functions	function	NOUN
ejpam-5334	39	29	.	.	PUNCT
ejpam-5334	40	1	tariq	tariq	PROPN
ejpam-5334	40	2	al	al	PROPN
ejpam-5334	40	3	-	-	PUNCT
ejpam-5334	40	4	hawary	hawary	PROPN
ejpam-5334	40	5	et	et	PROPN
ejpam-5334	40	6	al	al	PROPN
ejpam-5334	40	7	.	.	PUNCT
ejpam-5334	40	8	/	/	SYM
ejpam-5334	40	9	eur	eur	PROPN
ejpam-5334	40	10	.	.	PUNCT
ejpam-5334	41	1	j.	j.	PROPN
ejpam-5334	41	2	pure	pure	PROPN
ejpam-5334	41	3	appl	appl	PROPN
ejpam-5334	41	4	.	.	PROPN
ejpam-5334	41	5	math	math	PROPN
ejpam-5334	41	6	,	,	PUNCT
ejpam-5334	41	7	17	17	NUM
ejpam-5334	41	8	(	(	PUNCT
ejpam-5334	41	9	4	4	NUM
ejpam-5334	41	10	)	)	PUNCT
ejpam-5334	41	11	(	(	PUNCT
ejpam-5334	41	12	2024	2024	NUM
ejpam-5334	41	13	)	)	PUNCT
ejpam-5334	41	14	,	,	PUNCT
ejpam-5334	41	15	2538	2538	NUM
ejpam-5334	41	16	-	-	SYM
ejpam-5334	41	17	2549	2549	NUM
ejpam-5334	41	18	2540	2540	NUM
ejpam-5334	41	19	the	the	DET
ejpam-5334	41	20	eulers	euler	NOUN
ejpam-5334	41	21	polynomials	polynomial	NOUN
ejpam-5334	41	22	φi(υ	φi(υ	NOUN
ejpam-5334	41	23	)	)	PUNCT
ejpam-5334	41	24	are	be	AUX
ejpam-5334	41	25	defined	define	VERB
ejpam-5334	41	26	using	use	VERB
ejpam-5334	41	27	the	the	DET
ejpam-5334	41	28	generating	generate	VERB
ejpam-5334	41	29	function	function	NOUN
ejpam-5334	41	30	(	(	PUNCT
ejpam-5334	41	31	see	see	VERB
ejpam-5334	41	32	,	,	PUNCT
ejpam-5334	41	33	e.g.	e.g.	ADV
ejpam-5334	41	34	,	,	PUNCT
ejpam-5334	41	35	[	[	X
ejpam-5334	41	36	9	9	NUM
ejpam-5334	41	37	,	,	PUNCT
ejpam-5334	41	38	15	15	NUM
ejpam-5334	41	39	]	]	PUNCT
ejpam-5334	41	40	):	):	PUNCT
ejpam-5334	41	41	k(υ	k(υ	PROPN
ejpam-5334	41	42	,	,	PUNCT
ejpam-5334	41	43	h	h	NOUN
ejpam-5334	41	44	)	)	PUNCT
ejpam-5334	41	45	=	=	SYM
ejpam-5334	42	1	2ehυ	2ehυ	NUM
ejpam-5334	42	2	eh	eh	INTJ
ejpam-5334	43	1	+	+	CCONJ
ejpam-5334	43	2	1	1	NUM
ejpam-5334	43	3	=	=	VERB
ejpam-5334	43	4	∞∑	∞∑	NUM
ejpam-5334	43	5	i=0	i=0	ADJ
ejpam-5334	43	6	φi(υ	φi(υ	NOUN
ejpam-5334	43	7	)	)	PUNCT
ejpam-5334	43	8	hi	hi	INTJ
ejpam-5334	44	1	i	i	PRON
ejpam-5334	44	2	!	!	PUNCT
ejpam-5334	44	3	,	,	PUNCT
ejpam-5334	44	4	(	(	PUNCT
ejpam-5334	44	5	1	1	NUM
ejpam-5334	44	6	2	2	NUM
ejpam-5334	44	7	<	<	NOUN
ejpam-5334	44	8	υ	υ	X
ejpam-5334	44	9	≤	≤	ADJ
ejpam-5334	44	10	1	1	NUM
ejpam-5334	44	11	,	,	PUNCT
ejpam-5334	44	12	|h|	|h|	X
ejpam-5334	44	13	<	<	X
ejpam-5334	44	14	π	π	PROPN
ejpam-5334	44	15	)	)	PUNCT
ejpam-5334	44	16	.	.	PUNCT
ejpam-5334	45	1	an	an	DET
ejpam-5334	45	2	explicit	explicit	ADJ
ejpam-5334	45	3	formula	formula	NOUN
ejpam-5334	45	4	for	for	ADP
ejpam-5334	45	5	φi(υ	φi(υ	NOUN
ejpam-5334	45	6	)	)	PUNCT
ejpam-5334	45	7	is	be	AUX
ejpam-5334	45	8	given	give	VERB
ejpam-5334	45	9	by	by	ADP
ejpam-5334	45	10	φj(υ	φj(υ	NOUN
ejpam-5334	45	11	)	)	PUNCT
ejpam-5334	46	1	=	=	SYM
ejpam-5334	46	2	j∑	j∑	PROPN
ejpam-5334	46	3	i=0	i=0	PROPN
ejpam-5334	46	4	1	1	NUM
ejpam-5334	46	5	2i	2i	NOUN
ejpam-5334	46	6	i∑	i∑	PROPN
ejpam-5334	46	7	u=0	u=0	PUNCT
ejpam-5334	46	8	(	(	PUNCT
ejpam-5334	46	9	−1)u	−1)u	X
ejpam-5334	46	10	(	(	PUNCT
ejpam-5334	46	11	i	i	NOUN
ejpam-5334	46	12	u	u	NOUN
ejpam-5334	46	13	)	)	PUNCT
ejpam-5334	46	14	(	(	PUNCT
ejpam-5334	46	15	υ	υ	NOUN
ejpam-5334	46	16	+	+	X
ejpam-5334	46	17	u)j	u)j	PUNCT
ejpam-5334	46	18	.	.	PUNCT
ejpam-5334	47	1	(	(	PUNCT
ejpam-5334	47	2	3	3	X
ejpam-5334	47	3	)	)	PUNCT
ejpam-5334	47	4	now	now	ADV
ejpam-5334	47	5	φi(υ	φi(υ	NOUN
ejpam-5334	47	6	)	)	PUNCT
ejpam-5334	47	7	in	in	ADP
ejpam-5334	47	8	terms	term	NOUN
ejpam-5334	47	9	of	of	ADP
ejpam-5334	47	10	φu	φu	NOUN
ejpam-5334	47	11	,	,	PUNCT
ejpam-5334	47	12	obtained	obtain	VERB
ejpam-5334	47	13	from	from	ADP
ejpam-5334	47	14	(	(	PUNCT
ejpam-5334	47	15	3	3	NUM
ejpam-5334	47	16	)	)	PUNCT
ejpam-5334	47	17	as	as	ADP
ejpam-5334	47	18	:	:	PUNCT
ejpam-5334	47	19	φi(υ	φi(υ	NOUN
ejpam-5334	47	20	)	)	PUNCT
ejpam-5334	47	21	=	=	SYM
ejpam-5334	47	22	i∑	i∑	PROPN
ejpam-5334	47	23	u=0	u=0	SYM
ejpam-5334	47	24	φu	φu	NOUN
ejpam-5334	47	25	2u	2u	NOUN
ejpam-5334	47	26	(	(	PUNCT
ejpam-5334	47	27	i	i	NOUN
ejpam-5334	47	28	u	u	NOUN
ejpam-5334	47	29	)	)	PUNCT
ejpam-5334	47	30	(	(	PUNCT
ejpam-5334	47	31	υ	υ	NOUN
ejpam-5334	47	32	−	−	PROPN
ejpam-5334	47	33	1	1	NUM
ejpam-5334	47	34	2	2	NUM
ejpam-5334	47	35	)	)	PUNCT
ejpam-5334	47	36	i−u	i−u	NOUN
ejpam-5334	47	37	.	.	PUNCT
ejpam-5334	48	1	initial	initial	ADJ
ejpam-5334	48	2	euler	euler	NOUN
ejpam-5334	48	3	polynomial	polynomial	ADJ
ejpam-5334	48	4	values	value	NOUN
ejpam-5334	48	5	are	be	AUX
ejpam-5334	48	6	:	:	PUNCT
ejpam-5334	48	7	φ0(υ	φ0(υ	NUM
ejpam-5334	48	8	)	)	PUNCT
ejpam-5334	48	9	=	=	SYM
ejpam-5334	48	10	1	1	NUM
ejpam-5334	48	11	;	;	PUNCT
ejpam-5334	48	12	φ1(υ	φ1(υ	PROPN
ejpam-5334	48	13	)	)	PUNCT
ejpam-5334	48	14	=	=	NOUN
ejpam-5334	48	15	2υ	2υ	NOUN
ejpam-5334	48	16	−	−	NOUN
ejpam-5334	48	17	1	1	NUM
ejpam-5334	48	18	2	2	NUM
ejpam-5334	48	19	;	;	PUNCT
ejpam-5334	48	20	φ2(υ	φ2(υ	NUM
ejpam-5334	48	21	)	)	PUNCT
ejpam-5334	48	22	=	=	SYM
ejpam-5334	48	23	υ2	υ2	NOUN
ejpam-5334	48	24	−	−	PROPN
ejpam-5334	48	25	υ	υ	NOUN
ejpam-5334	48	26	;	;	PUNCT
ejpam-5334	48	27	(	(	PUNCT
ejpam-5334	48	28	4	4	X
ejpam-5334	48	29	)	)	PUNCT
ejpam-5334	48	30	φ3(υ	φ3(υ	PROPN
ejpam-5334	48	31	)	)	PUNCT
ejpam-5334	48	32	=	=	SYM
ejpam-5334	48	33	4υ3	4υ3	NUM
ejpam-5334	49	1	−	−	NOUN
ejpam-5334	49	2	6υ2	6υ2	NUM
ejpam-5334	50	1	+	+	CCONJ
ejpam-5334	50	2	1	1	NUM
ejpam-5334	50	3	4	4	NUM
ejpam-5334	50	4	;	;	PUNCT
ejpam-5334	50	5	φ4(υ	φ4(υ	NUM
ejpam-5334	50	6	)	)	PUNCT
ejpam-5334	50	7	=	=	PUNCT
ejpam-5334	50	8	υ4	υ4	PROPN
ejpam-5334	50	9	−	−	PROPN
ejpam-5334	50	10	2υ3	2υ3	NUM
ejpam-5334	51	1	+	+	CCONJ
ejpam-5334	52	1	υ	υ	NOUN
ejpam-5334	52	2	.	.	PUNCT
ejpam-5334	53	1	several	several	ADJ
ejpam-5334	53	2	subclasses	subclass	NOUN
ejpam-5334	53	3	of	of	ADP
ejpam-5334	53	4	the	the	DET
ejpam-5334	53	5	class	class	NOUN
ejpam-5334	53	6	γ	γ	PROPN
ejpam-5334	53	7	were	be	AUX
ejpam-5334	53	8	introduced	introduce	VERB
ejpam-5334	53	9	and	and	CCONJ
ejpam-5334	53	10	non	non	ADJ
ejpam-5334	53	11	-	-	ADJ
ejpam-5334	53	12	sharp	sharp	ADJ
ejpam-5334	53	13	estimates	estimate	NOUN
ejpam-5334	53	14	on	on	ADP
ejpam-5334	53	15	the	the	DET
ejpam-5334	53	16	coefficients	coefficient	NOUN
ejpam-5334	53	17	|c2|	|c2|	NOUN
ejpam-5334	53	18	and	and	CCONJ
ejpam-5334	53	19	|c3|	|c3|	VERB
ejpam-5334	53	20	in	in	ADP
ejpam-5334	53	21	the	the	DET
ejpam-5334	53	22	taylor	taylor	PROPN
ejpam-5334	53	23	series	series	PROPN
ejpam-5334	53	24	expansion	expansion	NOUN
ejpam-5334	53	25	(	(	PUNCT
ejpam-5334	53	26	1	1	NUM
ejpam-5334	53	27	)	)	PUNCT
ejpam-5334	53	28	.	.	PUNCT
ejpam-5334	54	1	for	for	ADP
ejpam-5334	54	2	example	example	NOUN
ejpam-5334	54	3	,	,	PUNCT
ejpam-5334	54	4	al	al	PROPN
ejpam-5334	54	5	-	-	PUNCT
ejpam-5334	54	6	hawary	hawary	PROPN
ejpam-5334	54	7	et	et	PROPN
ejpam-5334	54	8	al	al	PROPN
ejpam-5334	54	9	.	.	PUNCT
ejpam-5334	55	1	[	[	X
ejpam-5334	55	2	18	18	NUM
ejpam-5334	55	3	]	]	PUNCT
ejpam-5334	55	4	defined	define	VERB
ejpam-5334	55	5	the	the	DET
ejpam-5334	55	6	novel	novel	ADJ
ejpam-5334	55	7	subclass	subclass	NOUN
ejpam-5334	55	8	kγ	kγ	PROPN
ejpam-5334	55	9	σ(σ	σ(σ	PROPN
ejpam-5334	55	10	,	,	PUNCT
ejpam-5334	55	11	δ	δ	PROPN
ejpam-5334	55	12	,	,	PUNCT
ejpam-5334	55	13	µ	µ	X
ejpam-5334	55	14	,	,	PUNCT
ejpam-5334	55	15	x	x	NOUN
ejpam-5334	55	16	)	)	PUNCT
ejpam-5334	55	17	using	use	VERB
ejpam-5334	55	18	gegenbauer	gegenbauer	NOUN
ejpam-5334	55	19	polynomials	polynomial	NOUN
ejpam-5334	55	20	.	.	PUNCT
ejpam-5334	56	1	amourah	amourah	PROPN
ejpam-5334	56	2	et	et	PROPN
ejpam-5334	56	3	al	al	PROPN
ejpam-5334	56	4	.	.	PUNCT
ejpam-5334	57	1	[	[	X
ejpam-5334	57	2	1	1	X
ejpam-5334	57	3	]	]	PUNCT
ejpam-5334	57	4	defined	define	VERB
ejpam-5334	57	5	the	the	DET
ejpam-5334	57	6	class	class	NOUN
ejpam-5334	57	7	k(ϑ	k(ϑ	PROPN
ejpam-5334	57	8	,	,	PUNCT
ejpam-5334	57	9	δ	δ	PROPN
ejpam-5334	57	10	)	)	PUNCT
ejpam-5334	57	11	by	by	ADP
ejpam-5334	57	12	means	mean	NOUN
ejpam-5334	57	13	of	of	ADP
ejpam-5334	57	14	(	(	PUNCT
ejpam-5334	57	15	p	p	X
ejpam-5334	57	16	,	,	PUNCT
ejpam-5334	57	17	h)−lucas	h)−luca	NOUN
ejpam-5334	57	18	polynomials	polynomial	NOUN
ejpam-5334	57	19	.	.	PUNCT
ejpam-5334	58	1	amourah	amourah	PROPN
ejpam-5334	58	2	et	et	PROPN
ejpam-5334	58	3	al	al	PROPN
ejpam-5334	58	4	.	.	PUNCT
ejpam-5334	59	1	[	[	X
ejpam-5334	59	2	2	2	X
ejpam-5334	59	3	]	]	PUNCT
ejpam-5334	59	4	defined	define	VERB
ejpam-5334	59	5	the	the	DET
ejpam-5334	59	6	class	class	NOUN
ejpam-5334	59	7	s1(α	s1(α	PROPN
ejpam-5334	59	8	,	,	PUNCT
ejpam-5334	59	9	β	β	PROPN
ejpam-5334	59	10	,	,	PUNCT
ejpam-5334	59	11	t	t	PROPN
ejpam-5334	59	12	)	)	PUNCT
ejpam-5334	59	13	by	by	ADP
ejpam-5334	59	14	means	mean	NOUN
ejpam-5334	59	15	of	of	ADP
ejpam-5334	59	16	chebyshev	chebyshev	NOUN
ejpam-5334	59	17	polynomials	polynomial	NOUN
ejpam-5334	59	18	.	.	PUNCT
ejpam-5334	60	1	peng	peng	PROPN
ejpam-5334	60	2	et	et	PROPN
ejpam-5334	60	3	al	al	PROPN
ejpam-5334	60	4	.	.	PUNCT
ejpam-5334	61	1	[	[	X
ejpam-5334	61	2	19	19	NUM
ejpam-5334	61	3	]	]	PUNCT
ejpam-5334	61	4	defined	define	VERB
ejpam-5334	61	5	the	the	DET
ejpam-5334	61	6	class	class	NOUN
ejpam-5334	61	7	sa	sa	PROPN
ejpam-5334	61	8	,	,	PUNCT
ejpam-5334	61	9	p	p	X
ejpam-5334	61	10	,	,	PUNCT
ejpam-5334	61	11	cς	cς	PROPN
ejpam-5334	61	12	(	(	PUNCT
ejpam-5334	61	13	γ	γ	X
ejpam-5334	61	14	,	,	PUNCT
ejpam-5334	61	15	λ	λ	PROPN
ejpam-5334	61	16	,	,	PUNCT
ejpam-5334	61	17	ϕ	ϕ	NOUN
ejpam-5334	61	18	)	)	PUNCT
ejpam-5334	61	19	using	use	VERB
ejpam-5334	61	20	hohlov	hohlov	NOUN
ejpam-5334	61	21	operator	operator	NOUN
ejpam-5334	61	22	.	.	PUNCT
ejpam-5334	62	1	yousef	yousef	PROPN
ejpam-5334	62	2	,	,	PUNCT
ejpam-5334	62	3	et	et	PROPN
ejpam-5334	62	4	al	al	PROPN
ejpam-5334	62	5	.	.	PUNCT
ejpam-5334	63	1	[	[	X
ejpam-5334	63	2	5	5	NUM
ejpam-5334	63	3	]	]	PUNCT
ejpam-5334	63	4	defined	define	VERB
ejpam-5334	63	5	some	some	DET
ejpam-5334	63	6	subclasses	subclass	NOUN
ejpam-5334	63	7	by	by	ADP
ejpam-5334	63	8	frasin	frasin	PROPN
ejpam-5334	63	9	differentia	differentia	PROPN
ejpam-5334	63	10	operator	operator	NOUN
ejpam-5334	63	11	.	.	PUNCT
ejpam-5334	64	1	bulut	bulut	PROPN
ejpam-5334	64	2	et	et	PROPN
ejpam-5334	64	3	al	al	PROPN
ejpam-5334	64	4	.	.	PUNCT
ejpam-5334	65	1	[	[	X
ejpam-5334	65	2	14	14	NUM
ejpam-5334	65	3	]	]	PUNCT
ejpam-5334	65	4	introduced	introduce	VERB
ejpam-5334	65	5	a	a	DET
ejpam-5334	65	6	subclass	subclass	NOUN
ejpam-5334	65	7	kµ	kµ	PROPN
ejpam-5334	65	8	σ(λ	σ(λ	PROPN
ejpam-5334	65	9	,	,	PUNCT
ejpam-5334	65	10	t	t	PROPN
ejpam-5334	65	11	)	)	PUNCT
ejpam-5334	65	12	using	use	VERB
ejpam-5334	65	13	the	the	DET
ejpam-5334	65	14	chebyshev	chebyshev	NOUN
ejpam-5334	65	15	polynomials	polynomial	NOUN
ejpam-5334	65	16	.	.	PUNCT
ejpam-5334	66	1	srivastava	srivastava	PROPN
ejpam-5334	66	2	et	et	PROPN
ejpam-5334	66	3	al	al	PROPN
ejpam-5334	66	4	.	.	PUNCT
ejpam-5334	67	1	[	[	X
ejpam-5334	67	2	8	8	NUM
ejpam-5334	67	3	]	]	PUNCT
ejpam-5334	67	4	investigated	investigate	VERB
ejpam-5334	67	5	two	two	NUM
ejpam-5334	67	6	interesting	interesting	ADJ
ejpam-5334	67	7	subclasses	subclass	NOUN
ejpam-5334	67	8	hα	hα	ADP
ejpam-5334	67	9	σ	σ	PROPN
ejpam-5334	67	10	and	and	CCONJ
ejpam-5334	67	11	hς(β	hς(β	NUM
ejpam-5334	67	12	)	)	PUNCT
ejpam-5334	67	13	.	.	PUNCT
ejpam-5334	68	1	in	in	ADP
ejpam-5334	68	2	this	this	DET
ejpam-5334	68	3	paper	paper	NOUN
ejpam-5334	68	4	,	,	PUNCT
ejpam-5334	68	5	we	we	PRON
ejpam-5334	68	6	define	define	VERB
ejpam-5334	68	7	new	new	ADJ
ejpam-5334	68	8	two	two	NUM
ejpam-5334	68	9	subclasses	subclass	NOUN
ejpam-5334	68	10	of	of	ADP
ejpam-5334	68	11	γ	γ	X
ejpam-5334	68	12	utilizing	utilize	VERB
ejpam-5334	68	13	euler	euler	NOUN
ejpam-5334	68	14	polynomials	polynomial	NOUN
ejpam-5334	68	15	which	which	PRON
ejpam-5334	68	16	are	be	AUX
ejpam-5334	68	17	denote	denote	VERB
ejpam-5334	68	18	by	by	ADP
ejpam-5334	68	19	fγ(κ	fγ(κ	NOUN
ejpam-5334	68	20	,	,	PUNCT
ejpam-5334	68	21	ϵ	ϵ	X
ejpam-5334	68	22	,	,	PUNCT
ejpam-5334	68	23	υ	υ	NOUN
ejpam-5334	68	24	)	)	PUNCT
ejpam-5334	68	25	and	and	CCONJ
ejpam-5334	68	26	lγ(ψ	lγ(ψ	NUM
ejpam-5334	68	27	,	,	PUNCT
ejpam-5334	68	28	υ	υ	NOUN
ejpam-5334	68	29	)	)	PUNCT
ejpam-5334	68	30	,	,	PUNCT
ejpam-5334	68	31	and	and	CCONJ
ejpam-5334	68	32	derive	derive	ADJ
ejpam-5334	68	33	bounds	bound	NOUN
ejpam-5334	68	34	for	for	ADP
ejpam-5334	68	35	the	the	DET
ejpam-5334	68	36	coefficients	coefficient	NOUN
ejpam-5334	68	37	|c2|	|c2|	NOUN
ejpam-5334	68	38	and	and	CCONJ
ejpam-5334	68	39	|c3|	|c3|	NOUN
ejpam-5334	68	40	and	and	CCONJ
ejpam-5334	68	41	fekete	fekete	PROPN
ejpam-5334	68	42	–	–	PUNCT
ejpam-5334	68	43	szegö	szegö	VERB
ejpam-5334	68	44	problems	problem	NOUN
ejpam-5334	68	45	.	.	PUNCT
ejpam-5334	69	1	additionally	additionally	ADV
ejpam-5334	69	2	,	,	PUNCT
ejpam-5334	69	3	several	several	ADJ
ejpam-5334	69	4	new	new	ADJ
ejpam-5334	69	5	results	result	NOUN
ejpam-5334	69	6	are	be	AUX
ejpam-5334	69	7	shown	show	VERB
ejpam-5334	69	8	.	.	PUNCT
ejpam-5334	70	1	tariq	tariq	PROPN
ejpam-5334	70	2	al	al	PROPN
ejpam-5334	70	3	-	-	PUNCT
ejpam-5334	70	4	hawary	hawary	PROPN
ejpam-5334	70	5	et	et	PROPN
ejpam-5334	70	6	al	al	PROPN
ejpam-5334	70	7	.	.	PUNCT
ejpam-5334	70	8	/	/	SYM
ejpam-5334	70	9	eur	eur	PROPN
ejpam-5334	70	10	.	.	PUNCT
ejpam-5334	71	1	j.	j.	PROPN
ejpam-5334	71	2	pure	pure	PROPN
ejpam-5334	71	3	appl	appl	PROPN
ejpam-5334	71	4	.	.	PROPN
ejpam-5334	71	5	math	math	PROPN
ejpam-5334	71	6	,	,	PUNCT
ejpam-5334	71	7	17	17	NUM
ejpam-5334	71	8	(	(	PUNCT
ejpam-5334	71	9	4	4	NUM
ejpam-5334	71	10	)	)	PUNCT
ejpam-5334	71	11	(	(	PUNCT
ejpam-5334	71	12	2024	2024	NUM
ejpam-5334	71	13	)	)	PUNCT
ejpam-5334	71	14	,	,	PUNCT
ejpam-5334	71	15	2538	2538	NUM
ejpam-5334	71	16	-	-	SYM
ejpam-5334	71	17	2549	2549	NUM
ejpam-5334	71	18	2541	2541	NUM
ejpam-5334	71	19	2	2	NUM
ejpam-5334	71	20	.	.	PUNCT
ejpam-5334	71	21	bounds	bound	NOUN
ejpam-5334	71	22	of	of	ADP
ejpam-5334	71	23	the	the	DET
ejpam-5334	71	24	classes	class	NOUN
ejpam-5334	71	25	fγ(κ	fγ(κ	VERB
ejpam-5334	71	26	,	,	PUNCT
ejpam-5334	71	27	ϵ	ϵ	X
ejpam-5334	71	28	,	,	PUNCT
ejpam-5334	71	29	υ	υ	NOUN
ejpam-5334	71	30	)	)	PUNCT
ejpam-5334	71	31	and	and	CCONJ
ejpam-5334	71	32	lγ(ψ	lγ(ψ	NUM
ejpam-5334	71	33	,	,	PUNCT
ejpam-5334	71	34	υ	υ	NOUN
ejpam-5334	71	35	)	)	PUNCT
ejpam-5334	71	36	a	a	DET
ejpam-5334	71	37	definitions	definition	NOUN
ejpam-5334	71	38	of	of	ADP
ejpam-5334	71	39	the	the	DET
ejpam-5334	71	40	new	new	ADJ
ejpam-5334	71	41	subclasses	subclass	NOUN
ejpam-5334	71	42	fγ(κ	fγ(κ	VERB
ejpam-5334	71	43	,	,	PUNCT
ejpam-5334	71	44	ϵ	ϵ	X
ejpam-5334	71	45	,	,	PUNCT
ejpam-5334	71	46	υ	υ	NOUN
ejpam-5334	71	47	)	)	PUNCT
ejpam-5334	71	48	and	and	CCONJ
ejpam-5334	71	49	lγ(ψ	lγ(ψ	NUM
ejpam-5334	71	50	,	,	PUNCT
ejpam-5334	71	51	υ	υ	NOUN
ejpam-5334	71	52	)	)	PUNCT
ejpam-5334	71	53	connected	connect	VERB
ejpam-5334	71	54	to	to	PART
ejpam-5334	71	55	euler	euler	VERB
ejpam-5334	71	56	polynomials	polynomial	NOUN
ejpam-5334	71	57	is	be	AUX
ejpam-5334	71	58	provided	provide	VERB
ejpam-5334	71	59	at	at	ADP
ejpam-5334	71	60	the	the	DET
ejpam-5334	71	61	beginning	beginning	NOUN
ejpam-5334	71	62	of	of	ADP
ejpam-5334	71	63	this	this	DET
ejpam-5334	71	64	section	section	NOUN
ejpam-5334	71	65	.	.	PUNCT
ejpam-5334	72	1	definition	definition	NOUN
ejpam-5334	72	2	1	1	NUM
ejpam-5334	72	3	.	.	PUNCT
ejpam-5334	73	1	if	if	SCONJ
ejpam-5334	73	2	the	the	DET
ejpam-5334	73	3	next	next	ADJ
ejpam-5334	73	4	subordinations	subordination	NOUN
ejpam-5334	73	5	are	be	AUX
ejpam-5334	73	6	satisfied	satisfied	ADJ
ejpam-5334	73	7	for	for	ADP
ejpam-5334	73	8	a	a	DET
ejpam-5334	73	9	function	function	NOUN
ejpam-5334	73	10	p	p	PROPN
ejpam-5334	73	11	∈	∈	PROPN
ejpam-5334	73	12	∆	∆	PROPN
ejpam-5334	73	13	given	give	VERB
ejpam-5334	73	14	by	by	ADP
ejpam-5334	73	15	(	(	PUNCT
ejpam-5334	73	16	1	1	NUM
ejpam-5334	73	17	)	)	PUNCT
ejpam-5334	73	18	,	,	PUNCT
ejpam-5334	73	19	then	then	ADV
ejpam-5334	73	20	p	p	PROPN
ejpam-5334	73	21	∈	∈	PROPN
ejpam-5334	73	22	fγ(κ	fγ(κ	NOUN
ejpam-5334	73	23	,	,	PUNCT
ejpam-5334	73	24	ϵ	ϵ	X
ejpam-5334	73	25	,	,	PUNCT
ejpam-5334	73	26	υ	υ	PROPN
ejpam-5334	73	27	):	):	PUNCT
ejpam-5334	73	28	(	(	PUNCT
ejpam-5334	73	29	1−	1−	NUM
ejpam-5334	73	30	κ	κ	NOUN
ejpam-5334	73	31	)	)	PUNCT
ejpam-5334	73	32	p(ℶ	p(ℶ	PROPN
ejpam-5334	73	33	)	)	PUNCT
ejpam-5334	73	34	ℶ	ℶ	PROPN
ejpam-5334	74	1	+	+	CCONJ
ejpam-5334	74	2	κp′(ℶ	κp′(ℶ	NOUN
ejpam-5334	74	3	)	)	PUNCT
ejpam-5334	75	1	+	+	NUM
ejpam-5334	75	2	ϵℶp′′(ℶ	ϵℶp′′(ℶ	X
ejpam-5334	75	3	)	)	PUNCT
ejpam-5334	75	4	≺	≺	NOUN
ejpam-5334	75	5	k(υ,ℶ	k(υ,ℶ	NOUN
ejpam-5334	75	6	)	)	PUNCT
ejpam-5334	76	1	=	=	PUNCT
ejpam-5334	77	1	∞∑	∞∑	NUM
ejpam-5334	77	2	i=0	i=0	ADJ
ejpam-5334	77	3	φi(υ	φi(υ	NOUN
ejpam-5334	77	4	)	)	PUNCT
ejpam-5334	77	5	ℶi	ℶi	ADP
ejpam-5334	77	6	i	i	PRON
ejpam-5334	77	7	!	!	PUNCT
ejpam-5334	78	1	(	(	PUNCT
ejpam-5334	78	2	5	5	NUM
ejpam-5334	78	3	)	)	PUNCT
ejpam-5334	78	4	and	and	CCONJ
ejpam-5334	78	5	(	(	PUNCT
ejpam-5334	78	6	1−	1−	NUM
ejpam-5334	78	7	κ	κ	NOUN
ejpam-5334	78	8	)	)	PUNCT
ejpam-5334	78	9	h(ϖ	h(ϖ	NOUN
ejpam-5334	78	10	)	)	PUNCT
ejpam-5334	78	11	ϖ	ϖ	PROPN
ejpam-5334	78	12	+	+	NUM
ejpam-5334	78	13	κh′(ϖ	κh′(ϖ	PROPN
ejpam-5334	78	14	)	)	PUNCT
ejpam-5334	79	1	+	+	NUM
ejpam-5334	79	2	ϵϖh′′(ϖ	ϵϖh′′(ϖ	NUM
ejpam-5334	79	3	)	)	PUNCT
ejpam-5334	79	4	≺	≺	NOUN
ejpam-5334	79	5	k(υ,ϖ	k(υ,ϖ	NOUN
ejpam-5334	79	6	)	)	PUNCT
ejpam-5334	79	7	=	=	SYM
ejpam-5334	80	1	∞∑	∞∑	NUM
ejpam-5334	80	2	i=0	i=0	ADJ
ejpam-5334	80	3	φi(υ	φi(υ	NOUN
ejpam-5334	80	4	)	)	PUNCT
ejpam-5334	80	5	ϖi	ϖi	ADP
ejpam-5334	81	1	i	i	PROPN
ejpam-5334	81	2	!	!	PUNCT
ejpam-5334	81	3	,	,	PUNCT
ejpam-5334	81	4	(	(	PUNCT
ejpam-5334	81	5	6	6	NUM
ejpam-5334	81	6	)	)	PUNCT
ejpam-5334	81	7	where	where	SCONJ
ejpam-5334	81	8	κ	κ	PROPN
ejpam-5334	81	9	≥	≥	NOUN
ejpam-5334	81	10	1	1	NUM
ejpam-5334	81	11	,	,	PUNCT
ejpam-5334	81	12	ϵ	ϵ	DET
ejpam-5334	81	13	≥	≥	NOUN
ejpam-5334	81	14	0	0	NUM
ejpam-5334	81	15	,	,	PUNCT
ejpam-5334	81	16	1	1	NUM
ejpam-5334	81	17	2	2	NUM
ejpam-5334	81	18	<	<	X
ejpam-5334	81	19	υ	υ	PROPN
ejpam-5334	81	20	≤	≤	ADJ
ejpam-5334	81	21	1	1	NUM
ejpam-5334	81	22	ℶ	ℶ	NOUN
ejpam-5334	81	23	,	,	PUNCT
ejpam-5334	81	24	ϖ	ϖ	PROPN
ejpam-5334	81	25	∈	∈	PROPN
ejpam-5334	81	26	∆	∆	PROPN
ejpam-5334	81	27	and	and	CCONJ
ejpam-5334	81	28	h	h	NOUN
ejpam-5334	81	29	=	=	PROPN
ejpam-5334	81	30	p−1	p−1	PROPN
ejpam-5334	81	31	.	.	PUNCT
ejpam-5334	82	1	definition	definition	NOUN
ejpam-5334	82	2	2	2	NUM
ejpam-5334	82	3	.	.	PUNCT
ejpam-5334	83	1	if	if	SCONJ
ejpam-5334	83	2	the	the	DET
ejpam-5334	83	3	nex	nex	PROPN
ejpam-5334	83	4	subordinations	subordination	NOUN
ejpam-5334	83	5	are	be	AUX
ejpam-5334	83	6	satisfied	satisfied	ADJ
ejpam-5334	83	7	for	for	ADP
ejpam-5334	83	8	a	a	DET
ejpam-5334	83	9	function	function	NOUN
ejpam-5334	83	10	p	p	PROPN
ejpam-5334	83	11	∈	∈	PROPN
ejpam-5334	83	12	∆	∆	PROPN
ejpam-5334	83	13	given	give	VERB
ejpam-5334	83	14	by	by	ADP
ejpam-5334	83	15	(	(	PUNCT
ejpam-5334	83	16	1	1	NUM
ejpam-5334	83	17	)	)	PUNCT
ejpam-5334	83	18	,	,	PUNCT
ejpam-5334	83	19	then	then	ADV
ejpam-5334	83	20	p	p	PROPN
ejpam-5334	83	21	∈	∈	PROPN
ejpam-5334	83	22	lγ(ψ	lγ(ψ	X
ejpam-5334	83	23	,	,	PUNCT
ejpam-5334	83	24	υ	υ	NOUN
ejpam-5334	83	25	):	):	PUNCT
ejpam-5334	83	26	p′(ℶ	p′(ℶ	NOUN
ejpam-5334	83	27	)	)	PUNCT
ejpam-5334	84	1	+	+	CCONJ
ejpam-5334	85	1	ℶ	ℶ	X
ejpam-5334	85	2	eiψ	eiψ	NOUN
ejpam-5334	85	3	+	+	CCONJ
ejpam-5334	85	4	1	1	NUM
ejpam-5334	85	5	2	2	NUM
ejpam-5334	85	6	p′′(ℶ	p′′(ℶ	NOUN
ejpam-5334	85	7	)	)	PUNCT
ejpam-5334	85	8	≺	≺	NOUN
ejpam-5334	85	9	k(υ,ℶ	k(υ,ℶ	NOUN
ejpam-5334	85	10	)	)	PUNCT
ejpam-5334	85	11	=	=	PUNCT
ejpam-5334	86	1	∞∑	∞∑	NUM
ejpam-5334	86	2	i=0	i=0	ADJ
ejpam-5334	86	3	φi(υ	φi(υ	NOUN
ejpam-5334	86	4	)	)	PUNCT
ejpam-5334	86	5	ℶi	ℶi	ADP
ejpam-5334	86	6	i	i	PRON
ejpam-5334	86	7	!	!	PUNCT
ejpam-5334	87	1	(	(	PUNCT
ejpam-5334	87	2	7	7	NUM
ejpam-5334	87	3	)	)	PUNCT
ejpam-5334	87	4	and	and	CCONJ
ejpam-5334	87	5	h′(ϖ	h′(ϖ	NUM
ejpam-5334	87	6	)	)	PUNCT
ejpam-5334	88	1	+	+	NOUN
ejpam-5334	88	2	ϖ	ϖ	PROPN
ejpam-5334	88	3	eiψ	eiψ	NOUN
ejpam-5334	88	4	+	+	CCONJ
ejpam-5334	88	5	1	1	NUM
ejpam-5334	88	6	2	2	NUM
ejpam-5334	88	7	h′′(ϖ	h′′(ϖ	NOUN
ejpam-5334	88	8	)	)	PUNCT
ejpam-5334	88	9	≺	≺	NOUN
ejpam-5334	88	10	k(υ,ϖ	k(υ,ϖ	NOUN
ejpam-5334	88	11	)	)	PUNCT
ejpam-5334	88	12	=	=	SYM
ejpam-5334	89	1	∞∑	∞∑	NUM
ejpam-5334	89	2	i=0	i=0	ADJ
ejpam-5334	89	3	φi(υ	φi(υ	NOUN
ejpam-5334	89	4	)	)	PUNCT
ejpam-5334	89	5	ϖi	ϖi	ADP
ejpam-5334	90	1	i	i	PROPN
ejpam-5334	90	2	!	!	PUNCT
ejpam-5334	90	3	,	,	PUNCT
ejpam-5334	90	4	(	(	PUNCT
ejpam-5334	90	5	8)	8)	NUM
ejpam-5334	90	6	where	where	SCONJ
ejpam-5334	90	7	−π	−π	ADV
ejpam-5334	90	8	<	<	X
ejpam-5334	90	9	ψ	ψ	X
ejpam-5334	90	10	≤	≤	PROPN
ejpam-5334	90	11	π	π	PROPN
ejpam-5334	90	12	,	,	PUNCT
ejpam-5334	90	13	1	1	NUM
ejpam-5334	90	14	2	2	NUM
ejpam-5334	90	15	<	<	X
ejpam-5334	90	16	υ	υ	PROPN
ejpam-5334	90	17	≤	≤	ADJ
ejpam-5334	90	18	1	1	NUM
ejpam-5334	90	19	ℶ	ℶ	NOUN
ejpam-5334	90	20	,	,	PUNCT
ejpam-5334	90	21	ϖ	ϖ	PROPN
ejpam-5334	90	22	∈	∈	PROPN
ejpam-5334	90	23	∆	∆	PROPN
ejpam-5334	90	24	and	and	CCONJ
ejpam-5334	90	25	h	h	NOUN
ejpam-5334	90	26	=	=	SYM
ejpam-5334	90	27	p−1	p−1	PROPN
ejpam-5334	90	28	.	.	PUNCT
ejpam-5334	90	29	remark	remark	PROPN
ejpam-5334	90	30	1	1	NUM
ejpam-5334	90	31	.	.	PUNCT
ejpam-5334	91	1	many	many	ADJ
ejpam-5334	91	2	subclasses	subclass	NOUN
ejpam-5334	91	3	can	can	AUX
ejpam-5334	91	4	be	be	AUX
ejpam-5334	91	5	found	find	VERB
ejpam-5334	91	6	by	by	ADP
ejpam-5334	91	7	taking	take	VERB
ejpam-5334	91	8	special	special	ADJ
ejpam-5334	91	9	values	value	NOUN
ejpam-5334	91	10	for	for	ADP
ejpam-5334	91	11	the	the	DET
ejpam-5334	91	12	parameters	parameter	NOUN
ejpam-5334	91	13	κ	κ	ADP
ejpam-5334	91	14	,	,	PUNCT
ejpam-5334	91	15	λ	λ	PROPN
ejpam-5334	91	16	and	and	CCONJ
ejpam-5334	91	17	υ	υ	NOUN
ejpam-5334	91	18	in	in	ADP
ejpam-5334	91	19	definition	definition	NOUN
ejpam-5334	91	20	1	1	NUM
ejpam-5334	91	21	,	,	PUNCT
ejpam-5334	91	22	and	and	CCONJ
ejpam-5334	91	23	for	for	ADP
ejpam-5334	91	24	the	the	DET
ejpam-5334	91	25	parameters	parameter	NOUN
ejpam-5334	91	26	ψ	ψ	PROPN
ejpam-5334	91	27	and	and	CCONJ
ejpam-5334	91	28	υ	υ	NOUN
ejpam-5334	91	29	in	in	ADP
ejpam-5334	91	30	definition	definition	NOUN
ejpam-5334	91	31	2	2	NUM
ejpam-5334	91	32	.	.	PUNCT
ejpam-5334	92	1	lemma	lemma	PROPN
ejpam-5334	92	2	1	1	NUM
ejpam-5334	92	3	.	.	PUNCT
ejpam-5334	93	1	(	(	PUNCT
ejpam-5334	93	2	[	[	X
ejpam-5334	93	3	13	13	NUM
ejpam-5334	93	4	]	]	SYM
ejpam-5334	93	5	)	)	PUNCT
ejpam-5334	93	6	if	if	SCONJ
ejpam-5334	93	7	g	g	PROPN
ejpam-5334	93	8	∈	∈	PROPN
ejpam-5334	93	9	g	g	PROPN
ejpam-5334	93	10	,	,	PUNCT
ejpam-5334	93	11	then	then	ADV
ejpam-5334	93	12	|mn|	|mn|	VERB
ejpam-5334	93	13	≤	≤	ADV
ejpam-5334	93	14	2	2	NUM
ejpam-5334	93	15	for	for	ADP
ejpam-5334	93	16	each	each	DET
ejpam-5334	93	17	n	n	PRON
ejpam-5334	93	18	∈	∈	PROPN
ejpam-5334	93	19	n	n	CCONJ
ejpam-5334	93	20	,	,	PUNCT
ejpam-5334	93	21	where	where	SCONJ
ejpam-5334	93	22	g	g	PROPN
ejpam-5334	93	23	is	be	AUX
ejpam-5334	93	24	the	the	DET
ejpam-5334	93	25	family	family	NOUN
ejpam-5334	93	26	of	of	ADP
ejpam-5334	93	27	analytic	analytic	ADJ
ejpam-5334	93	28	functions	function	NOUN
ejpam-5334	93	29	in	in	ADP
ejpam-5334	93	30	∆	∆	PROPN
ejpam-5334	93	31	such	such	ADJ
ejpam-5334	93	32	that	that	SCONJ
ejpam-5334	93	33	re	re	X
ejpam-5334	93	34	(	(	PUNCT
ejpam-5334	93	35	g(ℶ	g(ℶ	PROPN
ejpam-5334	93	36	)	)	PUNCT
ejpam-5334	93	37	)	)	PUNCT
ejpam-5334	93	38	>	>	X
ejpam-5334	94	1	0	0	NUM
ejpam-5334	94	2	,	,	PUNCT
ejpam-5334	94	3	g(ℶ	g(ℶ	PROPN
ejpam-5334	94	4	)	)	PUNCT
ejpam-5334	94	5	=	=	PUNCT
ejpam-5334	95	1	1	1	NUM
ejpam-5334	95	2	+	+	NOUN
ejpam-5334	95	3	m1ℶ+m2	m1ℶ+m2	X
ejpam-5334	95	4	2ℶ+	2ℶ+	NUM
ejpam-5334	95	5	·	·	PUNCT
ejpam-5334	95	6	·	·	PUNCT
ejpam-5334	95	7	·	·	PUNCT
ejpam-5334	95	8	(	(	PUNCT
ejpam-5334	95	9	ℶ	ℶ	PROPN
ejpam-5334	95	10	∈	∈	PROPN
ejpam-5334	95	11	∆	∆	PROPN
ejpam-5334	95	12	)	)	PUNCT
ejpam-5334	95	13	.	.	PUNCT
ejpam-5334	96	1	for	for	ADP
ejpam-5334	96	2	a	a	DET
ejpam-5334	96	3	function	function	NOUN
ejpam-5334	96	4	p	p	PROPN
ejpam-5334	96	5	∈	∈	PROPN
ejpam-5334	96	6	∆	∆	PROPN
ejpam-5334	96	7	,	,	PUNCT
ejpam-5334	96	8	we	we	PRON
ejpam-5334	96	9	solve	solve	VERB
ejpam-5334	96	10	fekete	fekete	PROPN
ejpam-5334	96	11	-	-	PUNCT
ejpam-5334	96	12	szegö	szegö	PROPN
ejpam-5334	96	13	and	and	CCONJ
ejpam-5334	96	14	provide	provide	VERB
ejpam-5334	96	15	the	the	DET
ejpam-5334	96	16	coefficient	coefficient	NOUN
ejpam-5334	96	17	estimations	estimation	NOUN
ejpam-5334	96	18	(	(	PUNCT
ejpam-5334	96	19	see	see	VERB
ejpam-5334	96	20	[	[	X
ejpam-5334	96	21	6	6	NUM
ejpam-5334	96	22	]	]	PUNCT
ejpam-5334	96	23	)	)	PUNCT
ejpam-5334	96	24	for	for	ADP
ejpam-5334	96	25	the	the	DET
ejpam-5334	96	26	classes	class	NOUN
ejpam-5334	96	27	fγ(κ	fγ(κ	VERB
ejpam-5334	96	28	,	,	PUNCT
ejpam-5334	96	29	ϵ	ϵ	X
ejpam-5334	96	30	,	,	PUNCT
ejpam-5334	96	31	υ	υ	NOUN
ejpam-5334	96	32	)	)	PUNCT
ejpam-5334	96	33	and	and	CCONJ
ejpam-5334	96	34	lγ(ψ	lγ(ψ	NUM
ejpam-5334	96	35	,	,	PUNCT
ejpam-5334	96	36	υ	υ	NOUN
ejpam-5334	96	37	)	)	PUNCT
ejpam-5334	96	38	,	,	PUNCT
ejpam-5334	96	39	respectively	respectively	ADV
ejpam-5334	96	40	.	.	PUNCT
ejpam-5334	97	1	theorem	theorem	NOUN
ejpam-5334	97	2	1	1	NUM
ejpam-5334	97	3	.	.	PUNCT
ejpam-5334	98	1	let	let	VERB
ejpam-5334	98	2	p	p	PRON
ejpam-5334	98	3	∈	∈	PROPN
ejpam-5334	98	4	γ	γ	NOUN
ejpam-5334	98	5	given	give	VERB
ejpam-5334	98	6	by	by	ADP
ejpam-5334	98	7	(	(	PUNCT
ejpam-5334	98	8	1	1	NUM
ejpam-5334	98	9	)	)	PUNCT
ejpam-5334	98	10	in	in	ADP
ejpam-5334	98	11	the	the	DET
ejpam-5334	98	12	class	class	NOUN
ejpam-5334	98	13	fγ(κ	fγ(κ	NOUN
ejpam-5334	98	14	,	,	PUNCT
ejpam-5334	98	15	ϵ	ϵ	X
ejpam-5334	98	16	,	,	PUNCT
ejpam-5334	98	17	υ	υ	NOUN
ejpam-5334	98	18	)	)	PUNCT
ejpam-5334	98	19	where	where	SCONJ
ejpam-5334	98	20	κ	κ	PROPN
ejpam-5334	98	21	≥	≥	NOUN
ejpam-5334	98	22	1	1	NUM
ejpam-5334	98	23	,	,	PUNCT
ejpam-5334	98	24	ϵ	ϵ	DET
ejpam-5334	98	25	≥	≥	NOUN
ejpam-5334	98	26	0	0	NUM
ejpam-5334	98	27	,	,	PUNCT
ejpam-5334	98	28	1	1	NUM
ejpam-5334	98	29	2	2	NUM
ejpam-5334	98	30	<	<	X
ejpam-5334	98	31	υ	υ	PROPN
ejpam-5334	98	32	≤	≤	ADJ
ejpam-5334	98	33	1	1	NUM
ejpam-5334	98	34	ℶ	ℶ	NOUN
ejpam-5334	98	35	,	,	PUNCT
ejpam-5334	98	36	ϖ	ϖ	PROPN
ejpam-5334	98	37	∈	∈	PROPN
ejpam-5334	98	38	∆	∆	PROPN
ejpam-5334	98	39	and	and	CCONJ
ejpam-5334	98	40	h	h	NOUN
ejpam-5334	98	41	=	=	PROPN
ejpam-5334	98	42	p−1	p−1	PROPN
ejpam-5334	98	43	.	.	PUNCT
ejpam-5334	99	1	then	then	ADV
ejpam-5334	99	2	|c2|	|c2|	VERB
ejpam-5334	99	3	≤	≤	NOUN
ejpam-5334	99	4	√	√	NUM
ejpam-5334	99	5	𭟋(ϵ,κ	𭟋(ϵ,κ	NUM
ejpam-5334	99	6	,	,	PUNCT
ejpam-5334	99	7	υ	υ	NOUN
ejpam-5334	99	8	)	)	PUNCT
ejpam-5334	99	9	,	,	PUNCT
ejpam-5334	99	10	tariq	tariq	PROPN
ejpam-5334	99	11	al	al	PROPN
ejpam-5334	99	12	-	-	PUNCT
ejpam-5334	99	13	hawary	hawary	PROPN
ejpam-5334	99	14	et	et	PROPN
ejpam-5334	99	15	al	al	PROPN
ejpam-5334	99	16	.	.	PUNCT
ejpam-5334	99	17	/	/	SYM
ejpam-5334	99	18	eur	eur	PROPN
ejpam-5334	99	19	.	.	PUNCT
ejpam-5334	100	1	j.	j.	PROPN
ejpam-5334	100	2	pure	pure	PROPN
ejpam-5334	100	3	appl	appl	PROPN
ejpam-5334	100	4	.	.	PROPN
ejpam-5334	100	5	math	math	PROPN
ejpam-5334	100	6	,	,	PUNCT
ejpam-5334	100	7	17	17	NUM
ejpam-5334	100	8	(	(	PUNCT
ejpam-5334	100	9	4	4	NUM
ejpam-5334	100	10	)	)	PUNCT
ejpam-5334	100	11	(	(	PUNCT
ejpam-5334	100	12	2024	2024	NUM
ejpam-5334	100	13	)	)	PUNCT
ejpam-5334	100	14	,	,	PUNCT
ejpam-5334	100	15	2538	2538	NUM
ejpam-5334	100	16	-	-	SYM
ejpam-5334	100	17	2549	2549	NUM
ejpam-5334	100	18	2542	2542	NUM
ejpam-5334	100	19	|c3|	|c3|	NOUN
ejpam-5334	100	20	≤	≤	NOUN
ejpam-5334	100	21	(	(	PUNCT
ejpam-5334	100	22	2υ	2υ	NUM
ejpam-5334	100	23	−	−	PROPN
ejpam-5334	100	24	1)2	1)2	NUM
ejpam-5334	100	25	4	4	NUM
ejpam-5334	100	26	(	(	PUNCT
ejpam-5334	100	27	2ϵ+	2ϵ+	NUM
ejpam-5334	100	28	κ	κ	NOUN
ejpam-5334	101	1	+	+	X
ejpam-5334	101	2	1)2	1)2	NUM
ejpam-5334	101	3	+	+	NUM
ejpam-5334	101	4	2υ	2υ	NUM
ejpam-5334	101	5	−	−	NOUN
ejpam-5334	101	6	1	1	NUM
ejpam-5334	101	7	2	2	NUM
ejpam-5334	101	8	(	(	PUNCT
ejpam-5334	101	9	6ϵ+	6ϵ+	NUM
ejpam-5334	101	10	2κ	2κ	NOUN
ejpam-5334	101	11	+	+	CCONJ
ejpam-5334	101	12	1	1	NUM
ejpam-5334	101	13	)	)	PUNCT
ejpam-5334	101	14	.	.	PUNCT
ejpam-5334	102	1	and	and	CCONJ
ejpam-5334	102	2	∣∣c3	∣∣c3	VERB
ejpam-5334	102	3	−	−	PROPN
ejpam-5334	102	4	ζc22	ζc22	PROPN
ejpam-5334	102	5	∣∣	∣∣	NUM
ejpam-5334	102	6	≤	≤	ADV
ejpam-5334	102	7			PROPN
ejpam-5334	102	8	2υ−1	2υ−1	NUM
ejpam-5334	102	9	6ϵ+2κ+1	6ϵ+2κ+1	NUM
ejpam-5334	102	10	if	if	SCONJ
ejpam-5334	102	11	0	0	NUM
ejpam-5334	102	12	≤	≤	NUM
ejpam-5334	102	13	|1−	|1−	PROPN
ejpam-5334	102	14	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	102	15	,	,	PUNCT
ejpam-5334	102	16	υ	υ	NOUN
ejpam-5334	102	17	)	)	PUNCT
ejpam-5334	102	18	<	<	X
ejpam-5334	102	19	2υ−1	2υ−1	PROPN
ejpam-5334	102	20	2(6ϵ+2κ+1	2(6ϵ+2κ+1	NUM
ejpam-5334	102	21	)	)	PUNCT
ejpam-5334	102	22	,	,	PUNCT
ejpam-5334	102	23	2	2	NUM
ejpam-5334	102	24	|1−	|1−	NOUN
ejpam-5334	102	25	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	102	26	,	,	PUNCT
ejpam-5334	102	27	υ	υ	PROPN
ejpam-5334	102	28	)	)	PUNCT
ejpam-5334	102	29	if	if	SCONJ
ejpam-5334	102	30	|1−	|1−	PROPN
ejpam-5334	102	31	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	102	32	,	,	PUNCT
ejpam-5334	102	33	υ	υ	PROPN
ejpam-5334	102	34	)	)	PUNCT
ejpam-5334	102	35	≥	≥	NOUN
ejpam-5334	102	36	2υ−1	2υ−1	NUM
ejpam-5334	102	37	2(6ϵ+2κ+1	2(6ϵ+2κ+1	NUM
ejpam-5334	102	38	)	)	PUNCT
ejpam-5334	102	39	.	.	PUNCT
ejpam-5334	103	1	where	where	SCONJ
ejpam-5334	103	2	𭟋(ϵ,κ	𭟋(ϵ,κ	NOUN
ejpam-5334	103	3	,	,	PUNCT
ejpam-5334	103	4	υ	υ	NOUN
ejpam-5334	103	5	)	)	PUNCT
ejpam-5334	103	6	=	=	SYM
ejpam-5334	103	7	(	(	PUNCT
ejpam-5334	103	8	2υ	2υ	NUM
ejpam-5334	103	9	−	−	PROPN
ejpam-5334	103	10	1)3	1)3	NUM
ejpam-5334	103	11	2	2	NUM
ejpam-5334	103	12	∣∣∣(6ϵ+	∣∣∣(6ϵ+	NOUN
ejpam-5334	103	13	2κ	2κ	NOUN
ejpam-5334	103	14	+	+	CCONJ
ejpam-5334	103	15	1	1	X
ejpam-5334	103	16	)	)	PUNCT
ejpam-5334	103	17	(	(	PUNCT
ejpam-5334	103	18	2υ	2υ	NOUN
ejpam-5334	103	19	−	−	PROPN
ejpam-5334	103	20	1)2	1)2	NUM
ejpam-5334	103	21	−	−	NOUN
ejpam-5334	103	22	2	2	NUM
ejpam-5334	103	23	(	(	PUNCT
ejpam-5334	103	24	2ϵ+	2ϵ+	NUM
ejpam-5334	103	25	κ	κ	NOUN
ejpam-5334	104	1	+	+	X
ejpam-5334	104	2	1)2	1)2	NUM
ejpam-5334	104	3	(	(	PUNCT
ejpam-5334	104	4	υ2	υ2	NOUN
ejpam-5334	104	5	−	−	PROPN
ejpam-5334	104	6	3υ	3υ	NOUN
ejpam-5334	104	7	+	+	CCONJ
ejpam-5334	104	8	1	1	NUM
ejpam-5334	104	9	)	)	PUNCT
ejpam-5334	104	10	∣∣∣	∣∣∣	NOUN
ejpam-5334	104	11	.	.	PUNCT
ejpam-5334	105	1	proof	proof	NOUN
ejpam-5334	105	2	.	.	PUNCT
ejpam-5334	106	1	since	since	SCONJ
ejpam-5334	106	2	p(ℶ	p(ℶ	PROPN
ejpam-5334	106	3	)	)	PUNCT
ejpam-5334	106	4	=	=	SYM
ejpam-5334	106	5	ℶ+	ℶ+	X
ejpam-5334	107	1	∞∑	∞∑	PRON
ejpam-5334	107	2	i=2	i=2	PROPN
ejpam-5334	107	3	ciℶi	ciℶi	NOUN
ejpam-5334	107	4	∈	∈	NOUN
ejpam-5334	107	5	fγ(κ	fγ(κ	NOUN
ejpam-5334	107	6	,	,	PUNCT
ejpam-5334	107	7	λ	λ	NOUN
ejpam-5334	107	8	,	,	PUNCT
ejpam-5334	107	9	υ	υ	NOUN
ejpam-5334	107	10	)	)	PUNCT
ejpam-5334	107	11	,	,	PUNCT
ejpam-5334	107	12	so	so	ADV
ejpam-5334	107	13	from	from	ADP
ejpam-5334	107	14	definition	definition	NOUN
ejpam-5334	107	15	1	1	NUM
ejpam-5334	107	16	,	,	PUNCT
ejpam-5334	107	17	we	we	PRON
ejpam-5334	107	18	have	have	VERB
ejpam-5334	107	19	(	(	PUNCT
ejpam-5334	107	20	1−	1−	NUM
ejpam-5334	107	21	κ	κ	NOUN
ejpam-5334	107	22	)	)	PUNCT
ejpam-5334	107	23	p(ℶ	p(ℶ	PROPN
ejpam-5334	107	24	)	)	PUNCT
ejpam-5334	108	1	ℶ	ℶ	PROPN
ejpam-5334	108	2	+	+	CCONJ
ejpam-5334	108	3	κp′(ℶ	κp′(ℶ	NOUN
ejpam-5334	108	4	)	)	PUNCT
ejpam-5334	109	1	+	+	NUM
ejpam-5334	109	2	ϵℶp′′(ℶ	ϵℶp′′(ℶ	X
ejpam-5334	109	3	)	)	PUNCT
ejpam-5334	109	4	≺	≺	NOUN
ejpam-5334	109	5	k(υ,ℶ	k(υ,ℶ	NOUN
ejpam-5334	109	6	)	)	PUNCT
ejpam-5334	109	7	(	(	PUNCT
ejpam-5334	109	8	9	9	NUM
ejpam-5334	109	9	)	)	PUNCT
ejpam-5334	109	10	and	and	CCONJ
ejpam-5334	109	11	(	(	PUNCT
ejpam-5334	109	12	1−	1−	NUM
ejpam-5334	109	13	κ	κ	NOUN
ejpam-5334	109	14	)	)	PUNCT
ejpam-5334	109	15	h(ϖ	h(ϖ	NOUN
ejpam-5334	109	16	)	)	PUNCT
ejpam-5334	109	17	ϖ	ϖ	PROPN
ejpam-5334	110	1	+	+	NUM
ejpam-5334	110	2	κh′(ϖ	κh′(ϖ	PROPN
ejpam-5334	110	3	)	)	PUNCT
ejpam-5334	110	4	+	+	NUM
ejpam-5334	110	5	ϵϖh′′(ϖ	ϵϖh′′(ϖ	NUM
ejpam-5334	110	6	)	)	PUNCT
ejpam-5334	110	7	≺	≺	NOUN
ejpam-5334	110	8	k(υ,ϖ	k(υ,ϖ	NOUN
ejpam-5334	110	9	)	)	PUNCT
ejpam-5334	110	10	.	.	PUNCT
ejpam-5334	111	1	(	(	PUNCT
ejpam-5334	111	2	10	10	NUM
ejpam-5334	111	3	)	)	PUNCT
ejpam-5334	111	4	we	we	PRON
ejpam-5334	111	5	may	may	AUX
ejpam-5334	111	6	think	think	VERB
ejpam-5334	111	7	of	of	ADP
ejpam-5334	111	8	two	two	NUM
ejpam-5334	111	9	functions	function	NOUN
ejpam-5334	111	10	r1	r1	NOUN
ejpam-5334	111	11	,	,	PUNCT
ejpam-5334	111	12	r2	r2	PROPN
ejpam-5334	111	13	:	:	PUNCT
ejpam-5334	111	14	∆	∆	PROPN
ejpam-5334	111	15	→	→	SYM
ejpam-5334	111	16	∆	∆	PROPN
ejpam-5334	111	17	,	,	PUNCT
ejpam-5334	111	18	with	with	ADP
ejpam-5334	111	19	r1(0	r1(0	PROPN
ejpam-5334	111	20	)	)	PUNCT
ejpam-5334	111	21	=	=	SYM
ejpam-5334	111	22	r2(0	r2(0	PROPN
ejpam-5334	111	23	)	)	PUNCT
ejpam-5334	111	24	=	=	SYM
ejpam-5334	111	25	0	0	NUM
ejpam-5334	111	26	and	and	CCONJ
ejpam-5334	111	27	|r1(ℶ)|	|r1(ℶ)|	PRON
ejpam-5334	111	28	<	<	X
ejpam-5334	111	29	1	1	NUM
ejpam-5334	111	30	,	,	PUNCT
ejpam-5334	111	31	|r2(ϖ)|	|r2(ϖ)|	PROPN
ejpam-5334	111	32	<	<	X
ejpam-5334	111	33	1	1	NUM
ejpam-5334	111	34	for	for	ADP
ejpam-5334	111	35	all	all	DET
ejpam-5334	111	36	ℶ	ℶ	NOUN
ejpam-5334	111	37	,	,	PUNCT
ejpam-5334	111	38	ϖ	ϖ	PROPN
ejpam-5334	111	39	∈	∈	PROPN
ejpam-5334	112	1	∆.	∆.	X
ejpam-5334	112	2	so	so	ADV
ejpam-5334	112	3	we	we	PRON
ejpam-5334	112	4	can	can	AUX
ejpam-5334	112	5	define	define	VERB
ejpam-5334	112	6	γ	γ	NOUN
ejpam-5334	112	7	,	,	PUNCT
ejpam-5334	112	8	λ	λ	PROPN
ejpam-5334	112	9	∈	∈	NOUN
ejpam-5334	113	1	d	d	NOUN
ejpam-5334	114	1	as	as	ADP
ejpam-5334	114	2	:	:	PUNCT
ejpam-5334	114	3	γ(ℶ	γ(ℶ	NOUN
ejpam-5334	114	4	)	)	PUNCT
ejpam-5334	114	5	=	=	SYM
ejpam-5334	114	6	s1(ℶ	s1(ℶ	X
ejpam-5334	114	7	)	)	PUNCT
ejpam-5334	114	8	+	+	CCONJ
ejpam-5334	114	9	1	1	NUM
ejpam-5334	114	10	1−	1−	NUM
ejpam-5334	114	11	s1(ℶ	s1(ℶ	X
ejpam-5334	114	12	)	)	PUNCT
ejpam-5334	114	13	=	=	SYM
ejpam-5334	114	14	1	1	NUM
ejpam-5334	115	1	+	+	CCONJ
ejpam-5334	115	2	γ1ℶ+	γ1ℶ+	VERB
ejpam-5334	115	3	γ2ℶ2	γ2ℶ2	PROPN
ejpam-5334	115	4	+	+	CCONJ
ejpam-5334	115	5	γ3ℶ3	γ3ℶ3	PUNCT
ejpam-5334	115	6	+	+	X
ejpam-5334	115	7	·	·	PUNCT
ejpam-5334	115	8	·	·	PUNCT
ejpam-5334	115	9	·	·	PUNCT
ejpam-5334	115	10	,	,	PUNCT
ejpam-5334	115	11	|γi|	|γi|	NOUN
ejpam-5334	115	12	≤	≤	NOUN
ejpam-5334	115	13	2	2	NUM
ejpam-5334	115	14	,	,	PUNCT
ejpam-5334	115	15	i	i	PRON
ejpam-5334	115	16	∈	∈	PROPN
ejpam-5334	115	17	n.	n.	NOUN
ejpam-5334	115	18	⇒	⇒	PROPN
ejpam-5334	115	19	s1(ℶ	s1(ℶ	PART
ejpam-5334	115	20	)	)	PUNCT
ejpam-5334	115	21	=	=	SYM
ejpam-5334	115	22	γ(ℶ)−	γ(ℶ)−	ADJ
ejpam-5334	115	23	1	1	NUM
ejpam-5334	115	24	γ(ℶ	γ(ℶ	NOUN
ejpam-5334	115	25	)	)	PUNCT
ejpam-5334	115	26	+	+	CCONJ
ejpam-5334	115	27	1	1	NUM
ejpam-5334	115	28	=	=	SYM
ejpam-5334	115	29	γ1	γ1	NOUN
ejpam-5334	115	30	2	2	NUM
ejpam-5334	115	31	ℶ+	ℶ+	PRON
ejpam-5334	115	32	(	(	PUNCT
ejpam-5334	115	33	γ2	γ2	NOUN
ejpam-5334	115	34	2	2	NUM
ejpam-5334	115	35	−	−	NOUN
ejpam-5334	115	36	γ21	γ21	NOUN
ejpam-5334	115	37	4	4	NUM
ejpam-5334	115	38	)	)	PUNCT
ejpam-5334	115	39	ℶ2	ℶ2	NOUN
ejpam-5334	115	40	+	+	CCONJ
ejpam-5334	115	41	1	1	NUM
ejpam-5334	115	42	2	2	NUM
ejpam-5334	115	43	(	(	PUNCT
ejpam-5334	115	44	γ3	γ3	NOUN
ejpam-5334	115	45	−	−	PROPN
ejpam-5334	115	46	γ1γ2	γ1γ2	PROPN
ejpam-5334	115	47	+	+	X
ejpam-5334	115	48	γ31	γ31	X
ejpam-5334	115	49	4	4	NUM
ejpam-5334	115	50	)	)	PUNCT
ejpam-5334	115	51	ℶ3	ℶ3	PROPN
ejpam-5334	115	52	+	+	PROPN
ejpam-5334	115	53	·	·	PUNCT
ejpam-5334	115	54	·	·	PUNCT
ejpam-5334	115	55	·	·	PUNCT
ejpam-5334	115	56	(	(	PUNCT
ejpam-5334	115	57	11	11	NUM
ejpam-5334	115	58	)	)	PUNCT
ejpam-5334	115	59	and	and	CCONJ
ejpam-5334	115	60	λ(ϖ	λ(ϖ	NOUN
ejpam-5334	115	61	)	)	PUNCT
ejpam-5334	115	62	=	=	SYM
ejpam-5334	116	1	r2(ϖ	r2(ϖ	NOUN
ejpam-5334	116	2	)	)	PUNCT
ejpam-5334	116	3	+	+	CCONJ
ejpam-5334	117	1	1	1	NUM
ejpam-5334	117	2	1−	1−	NUM
ejpam-5334	117	3	r2(ϖ	r2(ϖ	NOUN
ejpam-5334	117	4	)	)	PUNCT
ejpam-5334	117	5	=	=	SYM
ejpam-5334	117	6	1	1	NUM
ejpam-5334	117	7	+	+	NUM
ejpam-5334	117	8	λ1ϖ	λ1ϖ	NOUN
ejpam-5334	117	9	+	+	CCONJ
ejpam-5334	117	10	λ2ϖ	λ2ϖ	X
ejpam-5334	117	11	2	2	NUM
ejpam-5334	117	12	+	+	CCONJ
ejpam-5334	117	13	λ3ϖ	λ3ϖ	PROPN
ejpam-5334	117	14	3	3	NUM
ejpam-5334	117	15	+	+	CCONJ
ejpam-5334	117	16	·	·	PUNCT
ejpam-5334	117	17	·	·	PUNCT
ejpam-5334	117	18	·	·	PUNCT
ejpam-5334	117	19	,	,	PUNCT
ejpam-5334	117	20	|λi|	|λi|	X
ejpam-5334	117	21	≤	≤	ADV
ejpam-5334	117	22	2	2	NUM
ejpam-5334	117	23	,	,	PUNCT
ejpam-5334	117	24	i	i	PRON
ejpam-5334	117	25	∈	∈	PROPN
ejpam-5334	117	26	n.	n.	PROPN
ejpam-5334	117	27	tariq	tariq	PROPN
ejpam-5334	117	28	al	al	PROPN
ejpam-5334	117	29	-	-	PUNCT
ejpam-5334	117	30	hawary	hawary	PROPN
ejpam-5334	117	31	et	et	PROPN
ejpam-5334	117	32	al	al	PROPN
ejpam-5334	117	33	.	.	PUNCT
ejpam-5334	117	34	/	/	SYM
ejpam-5334	117	35	eur	eur	PROPN
ejpam-5334	117	36	.	.	PUNCT
ejpam-5334	118	1	j.	j.	PROPN
ejpam-5334	118	2	pure	pure	PROPN
ejpam-5334	118	3	appl	appl	PROPN
ejpam-5334	118	4	.	.	PROPN
ejpam-5334	118	5	math	math	PROPN
ejpam-5334	118	6	,	,	PUNCT
ejpam-5334	118	7	17	17	NUM
ejpam-5334	118	8	(	(	PUNCT
ejpam-5334	118	9	4	4	NUM
ejpam-5334	118	10	)	)	PUNCT
ejpam-5334	118	11	(	(	PUNCT
ejpam-5334	118	12	2024	2024	NUM
ejpam-5334	118	13	)	)	PUNCT
ejpam-5334	118	14	,	,	PUNCT
ejpam-5334	118	15	2538	2538	NUM
ejpam-5334	118	16	-	-	SYM
ejpam-5334	118	17	2549	2549	NUM
ejpam-5334	118	18	2543	2543	NUM
ejpam-5334	118	19	⇒	⇒	NOUN
ejpam-5334	118	20	r2(ϖ	r2(ϖ	PROPN
ejpam-5334	118	21	)	)	PUNCT
ejpam-5334	118	22	=	=	VERB
ejpam-5334	118	23	λ(ϖ)−	λ(ϖ)−	VERB
ejpam-5334	118	24	1	1	NUM
ejpam-5334	118	25	λ(ϖ	λ(ϖ	NOUN
ejpam-5334	118	26	)	)	PUNCT
ejpam-5334	119	1	+	+	CCONJ
ejpam-5334	119	2	1	1	NUM
ejpam-5334	119	3	=	=	SYM
ejpam-5334	119	4	λ1	λ1	PROPN
ejpam-5334	119	5	2	2	NUM
ejpam-5334	119	6	ϖ	ϖ	NOUN
ejpam-5334	119	7	+	+	CCONJ
ejpam-5334	119	8	(	(	PUNCT
ejpam-5334	119	9	λ2	λ2	NOUN
ejpam-5334	119	10	2	2	NUM
ejpam-5334	119	11	−	−	NOUN
ejpam-5334	119	12	λ21	λ21	NOUN
ejpam-5334	119	13	4	4	NUM
ejpam-5334	119	14	)	)	PUNCT
ejpam-5334	119	15	ϖ2	ϖ2	NOUN
ejpam-5334	120	1	+	+	CCONJ
ejpam-5334	120	2	1	1	NUM
ejpam-5334	120	3	2	2	NUM
ejpam-5334	120	4	(	(	PUNCT
ejpam-5334	120	5	λ3	λ3	PROPN
ejpam-5334	120	6	−	−	PROPN
ejpam-5334	121	1	λ1λ2	λ1λ2	NOUN
ejpam-5334	121	2	+	+	NUM
ejpam-5334	121	3	λ31	λ31	NOUN
ejpam-5334	121	4	4	4	NUM
ejpam-5334	121	5	)	)	PUNCT
ejpam-5334	121	6	ϖ3	ϖ3	NOUN
ejpam-5334	121	7	+	+	X
ejpam-5334	121	8	·	·	PUNCT
ejpam-5334	121	9	·	·	PUNCT
ejpam-5334	121	10	·	·	PUNCT
ejpam-5334	121	11	.	.	PUNCT
ejpam-5334	122	1	(	(	PUNCT
ejpam-5334	122	2	12	12	X
ejpam-5334	122	3	)	)	PUNCT
ejpam-5334	122	4	using	use	VERB
ejpam-5334	122	5	(	(	PUNCT
ejpam-5334	122	6	11	11	NUM
ejpam-5334	122	7	)	)	PUNCT
ejpam-5334	122	8	and	and	CCONJ
ejpam-5334	122	9	(	(	PUNCT
ejpam-5334	122	10	12	12	NUM
ejpam-5334	122	11	)	)	PUNCT
ejpam-5334	122	12	,	,	PUNCT
ejpam-5334	122	13	we	we	PRON
ejpam-5334	122	14	get	get	VERB
ejpam-5334	122	15	k(υ	k(υ	PROPN
ejpam-5334	122	16	,	,	PUNCT
ejpam-5334	122	17	s1(ℶ	s1(ℶ	NOUN
ejpam-5334	122	18	)	)	PUNCT
ejpam-5334	122	19	)	)	PUNCT
ejpam-5334	123	1	=	=	PUNCT
ejpam-5334	123	2	φ0(υ	φ0(υ	NUM
ejpam-5334	123	3	)	)	PUNCT
ejpam-5334	123	4	+	+	PROPN
ejpam-5334	123	5	φ1(υ	φ1(υ	ADJ
ejpam-5334	123	6	)	)	PUNCT
ejpam-5334	123	7	2	2	NUM
ejpam-5334	123	8	γ1ℶ+	γ1ℶ+	NOUN
ejpam-5334	123	9	(	(	PUNCT
ejpam-5334	123	10	φ1(υ	φ1(υ	PROPN
ejpam-5334	123	11	)	)	PUNCT
ejpam-5334	123	12	2	2	NUM
ejpam-5334	123	13	(	(	PUNCT
ejpam-5334	123	14	γ2	γ2	NOUN
ejpam-5334	123	15	−	−	PROPN
ejpam-5334	123	16	γ21	γ21	NOUN
ejpam-5334	123	17	2	2	NUM
ejpam-5334	123	18	)	)	PUNCT
ejpam-5334	124	1	+	+	CCONJ
ejpam-5334	124	2	φ2(υ	φ2(υ	ADJ
ejpam-5334	124	3	)	)	PUNCT
ejpam-5334	124	4	8	8	NUM
ejpam-5334	124	5	γ21	γ21	ADJ
ejpam-5334	124	6	)	)	PUNCT
ejpam-5334	124	7	ℶ2	ℶ2	NOUN
ejpam-5334	125	1	+	+	CCONJ
ejpam-5334	125	2			PROPN
ejpam-5334	125	3	φ1(υ	φ1(υ	PROPN
ejpam-5334	125	4	)	)	PUNCT
ejpam-5334	125	5	2	2	NUM
ejpam-5334	125	6	(	(	PUNCT
ejpam-5334	125	7	γ3	γ3	NOUN
ejpam-5334	125	8	−	−	PROPN
ejpam-5334	125	9	γ1γ2	γ1γ2	PROPN
ejpam-5334	126	1	+	+	X
ejpam-5334	126	2	γ31	γ31	X
ejpam-5334	126	3	4	4	NUM
ejpam-5334	126	4	)	)	PUNCT
ejpam-5334	127	1	+	+	VERB
ejpam-5334	127	2	φ2(υ	φ2(υ	NOUN
ejpam-5334	127	3	)	)	PUNCT
ejpam-5334	127	4	4	4	NUM
ejpam-5334	127	5	(	(	PUNCT
ejpam-5334	127	6	γ1γ2	γ1γ2	PRON
ejpam-5334	127	7	−	−	NOUN
ejpam-5334	127	8	γ31	γ31	NOUN
ejpam-5334	127	9	2	2	NUM
ejpam-5334	127	10	)	)	PUNCT
ejpam-5334	128	1	+	+	CCONJ
ejpam-5334	128	2	φ3(υ	φ3(υ	X
ejpam-5334	128	3	)	)	PUNCT
ejpam-5334	128	4	48	48	NUM
ejpam-5334	128	5	γ31	γ31	ADJ
ejpam-5334	128	6	ℶ3	ℶ3	NOUN
ejpam-5334	128	7	+	+	CCONJ
ejpam-5334	128	8	·	·	PUNCT
ejpam-5334	128	9	·	·	PUNCT
ejpam-5334	128	10	·	·	PUNCT
ejpam-5334	128	11	(	(	PUNCT
ejpam-5334	128	12	13	13	NUM
ejpam-5334	128	13	)	)	PUNCT
ejpam-5334	128	14	and	and	CCONJ
ejpam-5334	128	15	k(υ	k(υ	PROPN
ejpam-5334	128	16	,	,	PUNCT
ejpam-5334	128	17	s(ϖ	s(ϖ	NOUN
ejpam-5334	128	18	)	)	PUNCT
ejpam-5334	128	19	)	)	PUNCT
ejpam-5334	129	1	=	=	PUNCT
ejpam-5334	129	2	φ0(υ	φ0(υ	NUM
ejpam-5334	129	3	)	)	PUNCT
ejpam-5334	129	4	+	+	PROPN
ejpam-5334	129	5	φ1(υ	φ1(υ	ADJ
ejpam-5334	129	6	)	)	PUNCT
ejpam-5334	129	7	2	2	NUM
ejpam-5334	129	8	λ1ϖ	λ1ϖ	NOUN
ejpam-5334	129	9	+	+	CCONJ
ejpam-5334	129	10	(	(	PUNCT
ejpam-5334	129	11	φ1(υ	φ1(υ	ADJ
ejpam-5334	129	12	)	)	PUNCT
ejpam-5334	129	13	2	2	NUM
ejpam-5334	129	14	(	(	PUNCT
ejpam-5334	129	15	λ2	λ2	NOUN
ejpam-5334	129	16	−	−	PROPN
ejpam-5334	129	17	λ21	λ21	NOUN
ejpam-5334	129	18	2	2	NUM
ejpam-5334	129	19	)	)	PUNCT
ejpam-5334	129	20	+	+	CCONJ
ejpam-5334	129	21	φ2(υ	φ2(υ	ADJ
ejpam-5334	129	22	)	)	PUNCT
ejpam-5334	129	23	8	8	NUM
ejpam-5334	129	24	λ21	λ21	NOUN
ejpam-5334	129	25	)	)	PUNCT
ejpam-5334	129	26	ϖ2	ϖ2	NOUN
ejpam-5334	129	27	+	+	CCONJ
ejpam-5334	129	28			PROPN
ejpam-5334	129	29	φ1(υ	φ1(υ	PROPN
ejpam-5334	129	30	)	)	PUNCT
ejpam-5334	129	31	2	2	NUM
ejpam-5334	129	32	(	(	PUNCT
ejpam-5334	129	33	λ3	λ3	PROPN
ejpam-5334	129	34	−	−	PROPN
ejpam-5334	130	1	λ1λ2	λ1λ2	NOUN
ejpam-5334	130	2	+	+	NUM
ejpam-5334	130	3	λ31	λ31	NOUN
ejpam-5334	130	4	4	4	NUM
ejpam-5334	130	5	)	)	PUNCT
ejpam-5334	131	1	+	+	VERB
ejpam-5334	131	2	φ2(υ	φ2(υ	NOUN
ejpam-5334	131	3	)	)	PUNCT
ejpam-5334	131	4	4	4	NUM
ejpam-5334	131	5	(	(	PUNCT
ejpam-5334	131	6	λ1λ2	λ1λ2	NOUN
ejpam-5334	131	7	−	−	NOUN
ejpam-5334	131	8	λ31	λ31	NOUN
ejpam-5334	131	9	2	2	NUM
ejpam-5334	131	10	)	)	PUNCT
ejpam-5334	131	11	+	+	CCONJ
ejpam-5334	131	12	φ3(υ	φ3(υ	X
ejpam-5334	131	13	)	)	PUNCT
ejpam-5334	131	14	48	48	NUM
ejpam-5334	131	15	λ31	λ31	NOUN
ejpam-5334	131	16	ϖ3	ϖ3	PROPN
ejpam-5334	132	1	+	+	PUNCT
ejpam-5334	132	2	·	·	PUNCT
ejpam-5334	132	3	·	·	PUNCT
ejpam-5334	132	4	·	·	PUNCT
ejpam-5334	132	5	(	(	PUNCT
ejpam-5334	132	6	14	14	NUM
ejpam-5334	132	7	)	)	PUNCT
ejpam-5334	132	8	from	from	ADP
ejpam-5334	132	9	(	(	PUNCT
ejpam-5334	132	10	9	9	NUM
ejpam-5334	132	11	)	)	PUNCT
ejpam-5334	132	12	,	,	PUNCT
ejpam-5334	132	13	(	(	PUNCT
ejpam-5334	132	14	10	10	NUM
ejpam-5334	132	15	)	)	PUNCT
ejpam-5334	132	16	and	and	CCONJ
ejpam-5334	132	17	the	the	DET
ejpam-5334	132	18	previous	previous	ADJ
ejpam-5334	132	19	two	two	NUM
ejpam-5334	132	20	equations	equation	NOUN
ejpam-5334	132	21	,	,	PUNCT
ejpam-5334	132	22	we	we	PRON
ejpam-5334	132	23	have	have	VERB
ejpam-5334	132	24	(	(	PUNCT
ejpam-5334	132	25	2ϵ+	2ϵ+	NUM
ejpam-5334	132	26	κ	κ	NOUN
ejpam-5334	132	27	+	+	NOUN
ejpam-5334	132	28	1	1	X
ejpam-5334	132	29	)	)	PUNCT
ejpam-5334	132	30	c2	c2	PROPN
ejpam-5334	132	31	=	=	SYM
ejpam-5334	132	32	φ1(υ	φ1(υ	PROPN
ejpam-5334	132	33	)	)	PUNCT
ejpam-5334	132	34	2	2	NUM
ejpam-5334	132	35	γ1	γ1	NOUN
ejpam-5334	132	36	,	,	PUNCT
ejpam-5334	132	37	(	(	PUNCT
ejpam-5334	132	38	15	15	NUM
ejpam-5334	132	39	)	)	PUNCT
ejpam-5334	132	40	(	(	PUNCT
ejpam-5334	132	41	6ϵ+	6ϵ+	NUM
ejpam-5334	132	42	2κ	2κ	NOUN
ejpam-5334	132	43	+	+	CCONJ
ejpam-5334	132	44	1	1	X
ejpam-5334	132	45	)	)	PUNCT
ejpam-5334	132	46	c3	c3	NOUN
ejpam-5334	132	47	=	=	SYM
ejpam-5334	132	48	φ1(υ	φ1(υ	PROPN
ejpam-5334	132	49	)	)	PUNCT
ejpam-5334	132	50	2	2	NUM
ejpam-5334	132	51	(	(	PUNCT
ejpam-5334	132	52	γ2	γ2	NOUN
ejpam-5334	132	53	−	−	PROPN
ejpam-5334	133	1	γ21	γ21	NOUN
ejpam-5334	133	2	2	2	NUM
ejpam-5334	133	3	)	)	PUNCT
ejpam-5334	133	4	+	+	CCONJ
ejpam-5334	133	5	φ2(υ	φ2(υ	ADJ
ejpam-5334	133	6	)	)	PUNCT
ejpam-5334	133	7	8	8	NUM
ejpam-5334	133	8	γ21	γ21	NOUN
ejpam-5334	133	9	,	,	PUNCT
ejpam-5334	133	10	(	(	PUNCT
ejpam-5334	133	11	16	16	NUM
ejpam-5334	133	12	)	)	PUNCT
ejpam-5334	133	13	−	−	PROPN
ejpam-5334	133	14	(	(	PUNCT
ejpam-5334	133	15	2ϵ+	2ϵ+	NUM
ejpam-5334	133	16	κ	κ	NOUN
ejpam-5334	133	17	+	+	NOUN
ejpam-5334	133	18	1	1	X
ejpam-5334	133	19	)	)	PUNCT
ejpam-5334	133	20	c2	c2	PROPN
ejpam-5334	133	21	=	=	SYM
ejpam-5334	133	22	φ1(υ	φ1(υ	PROPN
ejpam-5334	133	23	)	)	PUNCT
ejpam-5334	133	24	2	2	NUM
ejpam-5334	133	25	λ1	λ1	ADJ
ejpam-5334	133	26	,	,	PUNCT
ejpam-5334	133	27	(	(	PUNCT
ejpam-5334	133	28	17	17	NUM
ejpam-5334	133	29	)	)	PUNCT
ejpam-5334	133	30	and	and	CCONJ
ejpam-5334	133	31	(	(	PUNCT
ejpam-5334	133	32	6ϵ+	6ϵ+	NUM
ejpam-5334	133	33	2κ	2κ	NOUN
ejpam-5334	133	34	+	+	CCONJ
ejpam-5334	133	35	1	1	X
ejpam-5334	133	36	)	)	PUNCT
ejpam-5334	133	37	(	(	PUNCT
ejpam-5334	133	38	2c22	2c22	NOUN
ejpam-5334	133	39	−	−	PROPN
ejpam-5334	133	40	c3	c3	PROPN
ejpam-5334	133	41	)	)	PUNCT
ejpam-5334	133	42	=	=	SYM
ejpam-5334	134	1	φ1(υ	φ1(υ	PROPN
ejpam-5334	134	2	)	)	PUNCT
ejpam-5334	134	3	2	2	NUM
ejpam-5334	134	4	(	(	PUNCT
ejpam-5334	134	5	λ2	λ2	NOUN
ejpam-5334	134	6	−	−	PROPN
ejpam-5334	134	7	λ21	λ21	NOUN
ejpam-5334	134	8	2	2	NUM
ejpam-5334	134	9	)	)	PUNCT
ejpam-5334	134	10	+	+	CCONJ
ejpam-5334	134	11	φ2(υ	φ2(υ	PROPN
ejpam-5334	134	12	)	)	PUNCT
ejpam-5334	134	13	8	8	NUM
ejpam-5334	134	14	λ21	λ21	NOUN
ejpam-5334	134	15	.	.	PUNCT
ejpam-5334	135	1	(	(	PUNCT
ejpam-5334	135	2	18	18	NUM
ejpam-5334	135	3	)	)	PUNCT
ejpam-5334	135	4	adding	add	VERB
ejpam-5334	135	5	two	two	NUM
ejpam-5334	135	6	equations	equation	NOUN
ejpam-5334	135	7	(	(	PUNCT
ejpam-5334	135	8	15	15	NUM
ejpam-5334	135	9	)	)	PUNCT
ejpam-5334	135	10	and	and	CCONJ
ejpam-5334	135	11	(	(	PUNCT
ejpam-5334	135	12	17	17	NUM
ejpam-5334	135	13	)	)	PUNCT
ejpam-5334	135	14	and	and	CCONJ
ejpam-5334	135	15	some	some	DET
ejpam-5334	135	16	simplifying	simplifying	NOUN
ejpam-5334	135	17	,	,	PUNCT
ejpam-5334	135	18	we	we	PRON
ejpam-5334	135	19	obtain	obtain	VERB
ejpam-5334	135	20	γ1	γ1	NOUN
ejpam-5334	135	21	=	=	SYM
ejpam-5334	135	22	−λ1	−λ1	PROPN
ejpam-5334	135	23	and	and	CCONJ
ejpam-5334	135	24	γ21	γ21	NUM
ejpam-5334	135	25	=	=	SYM
ejpam-5334	135	26	λ21	λ21	X
ejpam-5334	135	27	(	(	PUNCT
ejpam-5334	135	28	19	19	NUM
ejpam-5334	135	29	)	)	PUNCT
ejpam-5334	135	30	and	and	CCONJ
ejpam-5334	135	31	8	8	NUM
ejpam-5334	135	32	(	(	PUNCT
ejpam-5334	135	33	2ϵ+	2ϵ+	NUM
ejpam-5334	135	34	κ	κ	NOUN
ejpam-5334	135	35	+	+	PROPN
ejpam-5334	135	36	1)2	1)2	NUM
ejpam-5334	135	37	c22	c22	NOUN
ejpam-5334	135	38	=	=	SYM
ejpam-5334	135	39	φ2	φ2	PROPN
ejpam-5334	135	40	1(υ)(γ	1(υ)(γ	NUM
ejpam-5334	135	41	2	2	NUM
ejpam-5334	135	42	1	1	NUM
ejpam-5334	135	43	+	+	NUM
ejpam-5334	135	44	λ21	λ21	NOUN
ejpam-5334	135	45	)	)	PUNCT
ejpam-5334	135	46	.	.	PUNCT
ejpam-5334	136	1	(	(	PUNCT
ejpam-5334	136	2	20	20	NUM
ejpam-5334	136	3	)	)	PUNCT
ejpam-5334	136	4	⇒	⇒	NOUN
ejpam-5334	136	5	c22	c22	PROPN
ejpam-5334	136	6	=	=	PROPN
ejpam-5334	136	7	φ2	φ2	PROPN
ejpam-5334	136	8	1(υ)(γ	1(υ)(γ	NUM
ejpam-5334	136	9	2	2	NUM
ejpam-5334	136	10	1	1	NUM
ejpam-5334	136	11	+	+	NUM
ejpam-5334	136	12	λ21	λ21	NOUN
ejpam-5334	136	13	)	)	PUNCT
ejpam-5334	136	14	8	8	NUM
ejpam-5334	136	15	(	(	PUNCT
ejpam-5334	136	16	2ϵ+	2ϵ+	NUM
ejpam-5334	136	17	κ	κ	NOUN
ejpam-5334	137	1	+	+	X
ejpam-5334	137	2	1)2	1)2	NUM
ejpam-5334	137	3	(	(	PUNCT
ejpam-5334	137	4	21	21	NUM
ejpam-5334	137	5	)	)	PUNCT
ejpam-5334	137	6	adding	add	VERB
ejpam-5334	137	7	(	(	PUNCT
ejpam-5334	137	8	16	16	NUM
ejpam-5334	137	9	)	)	PUNCT
ejpam-5334	137	10	to	to	ADP
ejpam-5334	137	11	(	(	PUNCT
ejpam-5334	137	12	18	18	NUM
ejpam-5334	137	13	)	)	PUNCT
ejpam-5334	137	14	gives	give	VERB
ejpam-5334	137	15	8	8	NUM
ejpam-5334	137	16	(	(	PUNCT
ejpam-5334	137	17	6ϵ+	6ϵ+	NUM
ejpam-5334	137	18	2κ	2κ	NOUN
ejpam-5334	137	19	+	+	CCONJ
ejpam-5334	137	20	1	1	X
ejpam-5334	137	21	)	)	PUNCT
ejpam-5334	137	22	c22	c22	NOUN
ejpam-5334	137	23	tariq	tariq	PROPN
ejpam-5334	137	24	al	al	PROPN
ejpam-5334	137	25	-	-	PUNCT
ejpam-5334	137	26	hawary	hawary	PROPN
ejpam-5334	137	27	et	et	PROPN
ejpam-5334	137	28	al	al	PROPN
ejpam-5334	137	29	.	.	PUNCT
ejpam-5334	137	30	/	/	SYM
ejpam-5334	137	31	eur	eur	PROPN
ejpam-5334	137	32	.	.	PUNCT
ejpam-5334	138	1	j.	j.	PROPN
ejpam-5334	138	2	pure	pure	PROPN
ejpam-5334	138	3	appl	appl	PROPN
ejpam-5334	138	4	.	.	PROPN
ejpam-5334	138	5	math	math	PROPN
ejpam-5334	138	6	,	,	PUNCT
ejpam-5334	138	7	17	17	NUM
ejpam-5334	138	8	(	(	PUNCT
ejpam-5334	138	9	4	4	NUM
ejpam-5334	138	10	)	)	PUNCT
ejpam-5334	138	11	(	(	PUNCT
ejpam-5334	138	12	2024	2024	NUM
ejpam-5334	138	13	)	)	PUNCT
ejpam-5334	138	14	,	,	PUNCT
ejpam-5334	138	15	2538	2538	NUM
ejpam-5334	138	16	-	-	SYM
ejpam-5334	138	17	2549	2549	NUM
ejpam-5334	138	18	2544	2544	NUM
ejpam-5334	138	19	=	=	SYM
ejpam-5334	138	20	2φ1(υ)(γ2	2φ1(υ)(γ2	NUM
ejpam-5334	138	21	+	+	CCONJ
ejpam-5334	138	22	λ2	λ2	NOUN
ejpam-5334	138	23	)	)	PUNCT
ejpam-5334	138	24	+	+	CCONJ
ejpam-5334	138	25	(	(	PUNCT
ejpam-5334	138	26	γ21	γ21	PROPN
ejpam-5334	138	27	+	+	X
ejpam-5334	138	28	λ21	λ21	NOUN
ejpam-5334	138	29	)	)	PUNCT
ejpam-5334	138	30	(	(	PUNCT
ejpam-5334	138	31	1	1	NUM
ejpam-5334	138	32	2	2	NUM
ejpam-5334	138	33	φ2(υ)−	φ2(υ)−	X
ejpam-5334	138	34	φ1(υ	φ1(υ	ADJ
ejpam-5334	138	35	)	)	PUNCT
ejpam-5334	138	36	)	)	PUNCT
ejpam-5334	138	37	.	.	PUNCT
ejpam-5334	139	1	by	by	ADP
ejpam-5334	139	2	(	(	PUNCT
ejpam-5334	139	3	19	19	NUM
ejpam-5334	139	4	)	)	PUNCT
ejpam-5334	139	5	,	,	PUNCT
ejpam-5334	139	6	we	we	PRON
ejpam-5334	139	7	have	have	VERB
ejpam-5334	139	8	8	8	NUM
ejpam-5334	139	9	(	(	PUNCT
ejpam-5334	139	10	6ϵ+	6ϵ+	NUM
ejpam-5334	139	11	2κ	2κ	NOUN
ejpam-5334	139	12	+	+	CCONJ
ejpam-5334	139	13	1	1	X
ejpam-5334	139	14	)	)	PUNCT
ejpam-5334	139	15	c22	c22	NOUN
ejpam-5334	139	16	=	=	NOUN
ejpam-5334	139	17	2φ1(υ)(γ2	2φ1(υ)(γ2	NUM
ejpam-5334	139	18	+	+	CCONJ
ejpam-5334	139	19	λ2	λ2	NOUN
ejpam-5334	139	20	)	)	PUNCT
ejpam-5334	140	1	+	+	CCONJ
ejpam-5334	140	2	γ21	γ21	ADJ
ejpam-5334	140	3	(	(	PUNCT
ejpam-5334	140	4	φ2(υ)−	φ2(υ)−	NOUN
ejpam-5334	140	5	2φ1(υ	2φ1(υ	NUM
ejpam-5334	140	6	)	)	PUNCT
ejpam-5334	140	7	)	)	PUNCT
ejpam-5334	141	1	(	(	PUNCT
ejpam-5334	141	2	22	22	NUM
ejpam-5334	141	3	)	)	PUNCT
ejpam-5334	141	4	also	also	ADV
ejpam-5334	141	5	,	,	PUNCT
ejpam-5334	141	6	appling	appling	PROPN
ejpam-5334	141	7	(	(	PUNCT
ejpam-5334	141	8	19	19	NUM
ejpam-5334	141	9	)	)	PUNCT
ejpam-5334	141	10	in	in	ADP
ejpam-5334	141	11	(	(	PUNCT
ejpam-5334	141	12	20	20	NUM
ejpam-5334	141	13	)	)	PUNCT
ejpam-5334	141	14	γ21	γ21	NOUN
ejpam-5334	141	15	=	=	SYM
ejpam-5334	141	16	4	4	NUM
ejpam-5334	141	17	(	(	PUNCT
ejpam-5334	141	18	2ϵ+	2ϵ+	NUM
ejpam-5334	141	19	κ	κ	NOUN
ejpam-5334	142	1	+	+	PROPN
ejpam-5334	143	1	1)2	1)2	NUM
ejpam-5334	143	2	c22	c22	NOUN
ejpam-5334	143	3	φ2	φ2	NOUN
ejpam-5334	143	4	1(υ	1(υ	NUM
ejpam-5334	143	5	)	)	PUNCT
ejpam-5334	143	6	(	(	PUNCT
ejpam-5334	143	7	23	23	X
ejpam-5334	143	8	)	)	PUNCT
ejpam-5334	143	9	replacing	replace	VERB
ejpam-5334	143	10	γ21	γ21	NOUN
ejpam-5334	143	11	in	in	ADP
ejpam-5334	143	12	(	(	PUNCT
ejpam-5334	143	13	22	22	NUM
ejpam-5334	143	14	)	)	PUNCT
ejpam-5334	143	15	c22	c22	NOUN
ejpam-5334	143	16	=	=	PROPN
ejpam-5334	143	17	φ3	φ3	PROPN
ejpam-5334	143	18	1(υ	1(υ	NUM
ejpam-5334	143	19	)	)	PUNCT
ejpam-5334	143	20	(	(	PUNCT
ejpam-5334	143	21	γ2	γ2	NOUN
ejpam-5334	143	22	+	+	CCONJ
ejpam-5334	143	23	λ2	λ2	NOUN
ejpam-5334	143	24	)	)	PUNCT
ejpam-5334	143	25	2	2	NUM
ejpam-5334	143	26	[	[	PUNCT
ejpam-5334	143	27	2	2	NUM
ejpam-5334	143	28	(	(	PUNCT
ejpam-5334	143	29	6ϵ+	6ϵ+	NUM
ejpam-5334	143	30	2κ	2κ	NOUN
ejpam-5334	143	31	+	+	CCONJ
ejpam-5334	143	32	1)φ2	1)φ2	NUM
ejpam-5334	143	33	1(υ	1(υ	NUM
ejpam-5334	143	34	)	)	PUNCT
ejpam-5334	143	35	−	−	PROPN
ejpam-5334	143	36	(	(	PUNCT
ejpam-5334	143	37	2ϵ+	2ϵ+	NUM
ejpam-5334	143	38	κ	κ	NOUN
ejpam-5334	144	1	+	+	X
ejpam-5334	144	2	1)2	1)2	NUM
ejpam-5334	144	3	(	(	PUNCT
ejpam-5334	144	4	φ2(υ)−	φ2(υ)−	NOUN
ejpam-5334	144	5	2φ1(υ	2φ1(υ	NUM
ejpam-5334	144	6	)	)	PUNCT
ejpam-5334	144	7	)	)	PUNCT
ejpam-5334	144	8	]	]	PUNCT
ejpam-5334	145	1	(	(	PUNCT
ejpam-5334	145	2	24	24	NUM
ejpam-5334	145	3	)	)	PUNCT
ejpam-5334	145	4	⇒	⇒	NOUN
ejpam-5334	145	5	|c2|2	|c2|2	PUNCT
ejpam-5334	145	6	=	=	SYM
ejpam-5334	145	7	φ3	φ3	NOUN
ejpam-5334	145	8	1(υ	1(υ	NUM
ejpam-5334	145	9	)	)	PUNCT
ejpam-5334	145	10	(	(	PUNCT
ejpam-5334	145	11	|γ2|+	|γ2|+	PROPN
ejpam-5334	145	12	|λ2|	|λ2|	NOUN
ejpam-5334	145	13	)	)	PUNCT
ejpam-5334	145	14	2	2	NUM
ejpam-5334	145	15	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5334	145	16	2	2	NUM
ejpam-5334	145	17	(	(	PUNCT
ejpam-5334	145	18	6ϵ+	6ϵ+	NUM
ejpam-5334	145	19	2κ	2κ	NOUN
ejpam-5334	145	20	+	+	CCONJ
ejpam-5334	145	21	1)φ2	1)φ2	NUM
ejpam-5334	145	22	1(υ	1(υ	NUM
ejpam-5334	145	23	)	)	PUNCT
ejpam-5334	145	24	−	−	PROPN
ejpam-5334	145	25	(	(	PUNCT
ejpam-5334	145	26	2ϵ+	2ϵ+	NUM
ejpam-5334	145	27	κ	κ	NOUN
ejpam-5334	146	1	+	+	X
ejpam-5334	146	2	1)2	1)2	NUM
ejpam-5334	146	3	(	(	PUNCT
ejpam-5334	146	4	φ2(υ)−	φ2(υ)−	NOUN
ejpam-5334	146	5	2φ1(υ	2φ1(υ	NUM
ejpam-5334	146	6	)	)	PUNCT
ejpam-5334	146	7	)	)	PUNCT
ejpam-5334	147	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5334	147	2	applying	apply	VERB
ejpam-5334	147	3	(	(	PUNCT
ejpam-5334	147	4	4	4	NUM
ejpam-5334	147	5	)	)	PUNCT
ejpam-5334	147	6	and	and	CCONJ
ejpam-5334	147	7	lemma	lemma	PROPN
ejpam-5334	147	8	1	1	NUM
ejpam-5334	147	9	,	,	PUNCT
ejpam-5334	147	10	we	we	PRON
ejpam-5334	147	11	obtain	obtain	VERB
ejpam-5334	147	12	|c2|	|c2|	NOUN
ejpam-5334	147	13	≤	≤	VERB
ejpam-5334	147	14	√√√√√√	√√√√√√	PROPN
ejpam-5334	147	15	(	(	PUNCT
ejpam-5334	147	16	2υ	2υ	NUM
ejpam-5334	147	17	−	−	PROPN
ejpam-5334	147	18	1)3	1)3	PROPN
ejpam-5334	147	19	2	2	NUM
ejpam-5334	147	20	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5334	147	21	(	(	PUNCT
ejpam-5334	147	22	6ϵ+	6ϵ+	NUM
ejpam-5334	147	23	2κ	2κ	NOUN
ejpam-5334	147	24	+	+	CCONJ
ejpam-5334	147	25	1	1	X
ejpam-5334	147	26	)	)	PUNCT
ejpam-5334	147	27	(	(	PUNCT
ejpam-5334	147	28	2υ	2υ	NUM
ejpam-5334	147	29	−	−	PROPN
ejpam-5334	147	30	1)2	1)2	NUM
ejpam-5334	147	31	−2	−2	NOUN
ejpam-5334	147	32	(	(	PUNCT
ejpam-5334	147	33	2ϵ+	2ϵ+	NUM
ejpam-5334	147	34	κ	κ	NOUN
ejpam-5334	148	1	+	+	X
ejpam-5334	148	2	1)2	1)2	NUM
ejpam-5334	148	3	(	(	PUNCT
ejpam-5334	148	4	υ2	υ2	PROPN
ejpam-5334	148	5	−	−	PROPN
ejpam-5334	148	6	3υ	3υ	NOUN
ejpam-5334	148	7	+	+	CCONJ
ejpam-5334	148	8	1	1	NUM
ejpam-5334	148	9	)	)	PUNCT
ejpam-5334	148	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5334	148	11	=	=	NOUN
ejpam-5334	148	12	√	√	NUM
ejpam-5334	148	13	𭟋(ϵ,κ	𭟋(ϵ,κ	NUM
ejpam-5334	148	14	,	,	PUNCT
ejpam-5334	148	15	υ	υ	NOUN
ejpam-5334	148	16	)	)	PUNCT
ejpam-5334	148	17	.	.	PUNCT
ejpam-5334	149	1	subtracting	subtract	VERB
ejpam-5334	149	2	(	(	PUNCT
ejpam-5334	149	3	18	18	NUM
ejpam-5334	149	4	)	)	PUNCT
ejpam-5334	149	5	from	from	ADP
ejpam-5334	149	6	(	(	PUNCT
ejpam-5334	149	7	16	16	NUM
ejpam-5334	149	8	)	)	PUNCT
ejpam-5334	149	9	,	,	PUNCT
ejpam-5334	149	10	then	then	ADV
ejpam-5334	149	11	view	view	VERB
ejpam-5334	149	12	(	(	PUNCT
ejpam-5334	149	13	19	19	NUM
ejpam-5334	149	14	)	)	PUNCT
ejpam-5334	149	15	and	and	CCONJ
ejpam-5334	149	16	after	after	ADP
ejpam-5334	149	17	doing	do	VERB
ejpam-5334	149	18	some	some	DET
ejpam-5334	149	19	calculations	calculation	NOUN
ejpam-5334	149	20	,	,	PUNCT
ejpam-5334	149	21	we	we	PRON
ejpam-5334	149	22	arrive	arrive	VERB
ejpam-5334	149	23	at	at	ADP
ejpam-5334	149	24	c3	c3	PROPN
ejpam-5334	149	25	=	=	PROPN
ejpam-5334	149	26	c22	c22	PROPN
ejpam-5334	149	27	+	+	PROPN
ejpam-5334	149	28	φ1(υ	φ1(υ	PROPN
ejpam-5334	149	29	)	)	PUNCT
ejpam-5334	149	30	(	(	PUNCT
ejpam-5334	149	31	γ2	γ2	NOUN
ejpam-5334	149	32	−	−	PROPN
ejpam-5334	149	33	λ2	λ2	PROPN
ejpam-5334	149	34	)	)	PUNCT
ejpam-5334	149	35	4	4	NUM
ejpam-5334	149	36	(	(	PUNCT
ejpam-5334	149	37	6ϵ+	6ϵ+	NUM
ejpam-5334	149	38	2κ	2κ	NOUN
ejpam-5334	149	39	+	+	CCONJ
ejpam-5334	149	40	1	1	X
ejpam-5334	149	41	)	)	PUNCT
ejpam-5334	149	42	(	(	PUNCT
ejpam-5334	149	43	25	25	NUM
ejpam-5334	149	44	)	)	PUNCT
ejpam-5334	149	45	by	by	ADP
ejpam-5334	149	46	(	(	PUNCT
ejpam-5334	149	47	21	21	NUM
ejpam-5334	149	48	)	)	PUNCT
ejpam-5334	149	49	and	and	CCONJ
ejpam-5334	149	50	(	(	PUNCT
ejpam-5334	149	51	19	19	NUM
ejpam-5334	149	52	)	)	PUNCT
ejpam-5334	149	53	c3	c3	NOUN
ejpam-5334	149	54	=	=	SYM
ejpam-5334	150	1	φ2	φ2	PROPN
ejpam-5334	150	2	1(υ)γ	1(υ)γ	NUM
ejpam-5334	150	3	2	2	NUM
ejpam-5334	150	4	1	1	NUM
ejpam-5334	150	5	4	4	NUM
ejpam-5334	150	6	(	(	PUNCT
ejpam-5334	150	7	2ϵ+	2ϵ+	NUM
ejpam-5334	150	8	κ	κ	NOUN
ejpam-5334	150	9	+	+	X
ejpam-5334	150	10	1)2	1)2	NUM
ejpam-5334	150	11	+	+	CCONJ
ejpam-5334	150	12	φ1(υ	φ1(υ	PROPN
ejpam-5334	150	13	)	)	PUNCT
ejpam-5334	150	14	(	(	PUNCT
ejpam-5334	150	15	γ2	γ2	NOUN
ejpam-5334	150	16	−	−	PROPN
ejpam-5334	150	17	λ2	λ2	PROPN
ejpam-5334	150	18	)	)	PUNCT
ejpam-5334	150	19	4	4	NUM
ejpam-5334	150	20	(	(	PUNCT
ejpam-5334	150	21	6ϵ+	6ϵ+	NUM
ejpam-5334	150	22	2κ	2κ	NOUN
ejpam-5334	150	23	+	+	CCONJ
ejpam-5334	150	24	1	1	NUM
ejpam-5334	150	25	)	)	PUNCT
ejpam-5334	150	26	.	.	PUNCT
ejpam-5334	151	1	(	(	PUNCT
ejpam-5334	151	2	26	26	NUM
ejpam-5334	151	3	)	)	PUNCT
ejpam-5334	151	4	applying	apply	VERB
ejpam-5334	151	5	(	(	PUNCT
ejpam-5334	151	6	4	4	NUM
ejpam-5334	151	7	)	)	PUNCT
ejpam-5334	151	8	and	and	CCONJ
ejpam-5334	151	9	lemma	lemma	PROPN
ejpam-5334	151	10	1	1	NUM
ejpam-5334	151	11	,	,	PUNCT
ejpam-5334	151	12	we	we	PRON
ejpam-5334	151	13	have	have	VERB
ejpam-5334	151	14	:	:	PUNCT
ejpam-5334	151	15	|c3|	|c3|	ADJ
ejpam-5334	151	16	≤	≤	NUM
ejpam-5334	151	17	(	(	PUNCT
ejpam-5334	151	18	2υ	2υ	NUM
ejpam-5334	151	19	−	−	PROPN
ejpam-5334	151	20	1)2	1)2	NUM
ejpam-5334	151	21	4	4	NUM
ejpam-5334	151	22	(	(	PUNCT
ejpam-5334	151	23	2ϵ+	2ϵ+	NUM
ejpam-5334	151	24	κ	κ	NOUN
ejpam-5334	152	1	+	+	X
ejpam-5334	152	2	1)2	1)2	NUM
ejpam-5334	152	3	+	+	NUM
ejpam-5334	152	4	2υ	2υ	NUM
ejpam-5334	152	5	−	−	NOUN
ejpam-5334	152	6	1	1	NUM
ejpam-5334	152	7	2	2	NUM
ejpam-5334	152	8	(	(	PUNCT
ejpam-5334	152	9	6ϵ+	6ϵ+	NUM
ejpam-5334	152	10	2κ	2κ	NOUN
ejpam-5334	152	11	+	+	CCONJ
ejpam-5334	152	12	1	1	NUM
ejpam-5334	152	13	)	)	PUNCT
ejpam-5334	152	14	.	.	PUNCT
ejpam-5334	153	1	from	from	ADP
ejpam-5334	153	2	(	(	PUNCT
ejpam-5334	153	3	25	25	NUM
ejpam-5334	153	4	)	)	PUNCT
ejpam-5334	153	5	,	,	PUNCT
ejpam-5334	153	6	we	we	PRON
ejpam-5334	153	7	obtain	obtain	VERB
ejpam-5334	153	8	c3	c3	NOUN
ejpam-5334	153	9	−	−	PROPN
ejpam-5334	153	10	ζc22	ζc22	PROPN
ejpam-5334	153	11	=	=	SYM
ejpam-5334	153	12	φ1(υ	φ1(υ	PROPN
ejpam-5334	153	13	)	)	PUNCT
ejpam-5334	153	14	(	(	PUNCT
ejpam-5334	153	15	γ2	γ2	NOUN
ejpam-5334	153	16	−	−	PROPN
ejpam-5334	153	17	λ2	λ2	PROPN
ejpam-5334	153	18	)	)	PUNCT
ejpam-5334	153	19	4	4	NUM
ejpam-5334	153	20	(	(	PUNCT
ejpam-5334	153	21	6ϵ+	6ϵ+	NUM
ejpam-5334	153	22	2κ	2κ	NOUN
ejpam-5334	153	23	+	+	CCONJ
ejpam-5334	153	24	1	1	X
ejpam-5334	153	25	)	)	PUNCT
ejpam-5334	153	26	+	+	CCONJ
ejpam-5334	153	27	(	(	PUNCT
ejpam-5334	153	28	1−	1−	NUM
ejpam-5334	153	29	ζ)c22	ζ)c22	PROPN
ejpam-5334	153	30	tariq	tariq	PROPN
ejpam-5334	153	31	al	al	PROPN
ejpam-5334	153	32	-	-	PUNCT
ejpam-5334	153	33	hawary	hawary	PROPN
ejpam-5334	153	34	et	et	PROPN
ejpam-5334	153	35	al	al	PROPN
ejpam-5334	153	36	.	.	PUNCT
ejpam-5334	153	37	/	/	SYM
ejpam-5334	153	38	eur	eur	PROPN
ejpam-5334	153	39	.	.	PUNCT
ejpam-5334	154	1	j.	j.	PROPN
ejpam-5334	154	2	pure	pure	PROPN
ejpam-5334	154	3	appl	appl	PROPN
ejpam-5334	154	4	.	.	PROPN
ejpam-5334	154	5	math	math	PROPN
ejpam-5334	154	6	,	,	PUNCT
ejpam-5334	154	7	17	17	NUM
ejpam-5334	154	8	(	(	PUNCT
ejpam-5334	154	9	4	4	NUM
ejpam-5334	154	10	)	)	PUNCT
ejpam-5334	154	11	(	(	PUNCT
ejpam-5334	154	12	2024	2024	NUM
ejpam-5334	154	13	)	)	PUNCT
ejpam-5334	154	14	,	,	PUNCT
ejpam-5334	154	15	2538	2538	NUM
ejpam-5334	154	16	-	-	SYM
ejpam-5334	154	17	2549	2549	NUM
ejpam-5334	154	18	2545	2545	NUM
ejpam-5334	154	19	by	by	ADP
ejpam-5334	154	20	using	use	VERB
ejpam-5334	154	21	assist	assist	NOUN
ejpam-5334	154	22	(	(	PUNCT
ejpam-5334	154	23	4	4	NUM
ejpam-5334	154	24	)	)	PUNCT
ejpam-5334	154	25	in	in	ADP
ejpam-5334	154	26	conjunction	conjunction	NOUN
ejpam-5334	154	27	with	with	ADP
ejpam-5334	154	28	the	the	DET
ejpam-5334	154	29	triangular	triangular	NOUN
ejpam-5334	154	30	inequality	inequality	NOUN
ejpam-5334	154	31	,	,	PUNCT
ejpam-5334	154	32	we	we	PRON
ejpam-5334	154	33	arrive	arrive	VERB
ejpam-5334	154	34	at:∣∣c3	at:∣∣c3	ADV
ejpam-5334	154	35	−	−	PROPN
ejpam-5334	155	1	ζc22	ζc22	PROPN
ejpam-5334	155	2	∣∣	∣∣	NUM
ejpam-5334	155	3	≤	≤	ADV
ejpam-5334	155	4	2υ	2υ	NUM
ejpam-5334	155	5	−	−	NUM
ejpam-5334	155	6	1	1	NUM
ejpam-5334	155	7	2	2	NUM
ejpam-5334	155	8	(	(	PUNCT
ejpam-5334	155	9	6ϵ+	6ϵ+	NUM
ejpam-5334	155	10	2κ	2κ	NOUN
ejpam-5334	155	11	+	+	CCONJ
ejpam-5334	155	12	1	1	NUM
ejpam-5334	155	13	)	)	PUNCT
ejpam-5334	155	14	+	+	CCONJ
ejpam-5334	156	1	|1−	|1−	PROPN
ejpam-5334	156	2	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	156	3	,	,	PUNCT
ejpam-5334	156	4	υ	υ	PROPN
ejpam-5334	156	5	)	)	PUNCT
ejpam-5334	156	6	if	if	SCONJ
ejpam-5334	156	7	|1−	|1−	PROPN
ejpam-5334	156	8	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	156	9	,	,	PUNCT
ejpam-5334	156	10	υ	υ	NOUN
ejpam-5334	156	11	)	)	PUNCT
ejpam-5334	156	12	≤	≤	NOUN
ejpam-5334	156	13	2υ	2υ	NOUN
ejpam-5334	156	14	−	−	NUM
ejpam-5334	156	15	1	1	NUM
ejpam-5334	156	16	2	2	NUM
ejpam-5334	156	17	(	(	PUNCT
ejpam-5334	156	18	6ϵ+	6ϵ+	NUM
ejpam-5334	156	19	2κ	2κ	NOUN
ejpam-5334	156	20	+	+	CCONJ
ejpam-5334	156	21	1	1	X
ejpam-5334	156	22	)	)	PUNCT
ejpam-5334	156	23	we	we	PRON
ejpam-5334	156	24	obtain	obtain	VERB
ejpam-5334	156	25	∣∣c3	∣∣c3	NOUN
ejpam-5334	156	26	−	−	PROPN
ejpam-5334	156	27	ζc22	ζc22	PROPN
ejpam-5334	156	28	∣∣	∣∣	NUM
ejpam-5334	156	29	≤	≤	ADV
ejpam-5334	156	30	2υ	2υ	NUM
ejpam-5334	156	31	−	−	NUM
ejpam-5334	156	32	1	1	NUM
ejpam-5334	156	33	6ϵ+	6ϵ+	NUM
ejpam-5334	156	34	2κ	2κ	NOUN
ejpam-5334	156	35	+	+	CCONJ
ejpam-5334	156	36	1	1	NUM
ejpam-5334	156	37	and	and	CCONJ
ejpam-5334	156	38	if	if	SCONJ
ejpam-5334	156	39	:	:	PUNCT
ejpam-5334	156	40	|1−	|1−	PROPN
ejpam-5334	156	41	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	156	42	,	,	PUNCT
ejpam-5334	156	43	υ	υ	NOUN
ejpam-5334	156	44	)	)	PUNCT
ejpam-5334	156	45	≥	≥	NOUN
ejpam-5334	156	46	2υ	2υ	NUM
ejpam-5334	156	47	−	−	NUM
ejpam-5334	156	48	1	1	NUM
ejpam-5334	156	49	2	2	NUM
ejpam-5334	156	50	(	(	PUNCT
ejpam-5334	156	51	6ϵ+	6ϵ+	NUM
ejpam-5334	156	52	2κ	2κ	NOUN
ejpam-5334	156	53	+	+	CCONJ
ejpam-5334	156	54	1	1	X
ejpam-5334	156	55	)	)	PUNCT
ejpam-5334	156	56	we	we	PRON
ejpam-5334	156	57	obtain	obtain	VERB
ejpam-5334	156	58	∣∣c3	∣∣c3	NOUN
ejpam-5334	156	59	−	−	PROPN
ejpam-5334	156	60	ζc22	ζc22	PROPN
ejpam-5334	156	61	∣∣	∣∣	NUM
ejpam-5334	156	62	≤	≤	ADV
ejpam-5334	156	63	2	2	NUM
ejpam-5334	156	64	|1−	|1−	NOUN
ejpam-5334	156	65	ζ|𭟋(ϵ,κ	ζ|𭟋(ϵ,κ	PROPN
ejpam-5334	156	66	,	,	PUNCT
ejpam-5334	156	67	υ	υ	NOUN
ejpam-5334	156	68	)	)	PUNCT
ejpam-5334	156	69	which	which	PRON
ejpam-5334	156	70	the	the	DET
ejpam-5334	156	71	theorem	theorem	ADJ
ejpam-5334	156	72	1	1	NUM
ejpam-5334	156	73	asserts	assert	VERB
ejpam-5334	156	74	.	.	PUNCT
ejpam-5334	157	1	theorem	theorem	NOUN
ejpam-5334	157	2	2	2	NUM
ejpam-5334	157	3	.	.	PUNCT
ejpam-5334	158	1	let	let	VERB
ejpam-5334	158	2	p	p	PRON
ejpam-5334	158	3	∈	∈	PROPN
ejpam-5334	158	4	γ	γ	NOUN
ejpam-5334	158	5	of	of	ADP
ejpam-5334	158	6	the	the	DET
ejpam-5334	158	7	form	form	NOUN
ejpam-5334	158	8	(	(	PUNCT
ejpam-5334	158	9	1	1	NUM
ejpam-5334	158	10	)	)	PUNCT
ejpam-5334	158	11	in	in	ADP
ejpam-5334	158	12	the	the	DET
ejpam-5334	158	13	class	class	NOUN
ejpam-5334	158	14	lγ(ψ	lγ(ψ	NOUN
ejpam-5334	158	15	,	,	PUNCT
ejpam-5334	158	16	υ	υ	NOUN
ejpam-5334	158	17	)	)	PUNCT
ejpam-5334	158	18	where	where	SCONJ
ejpam-5334	158	19	−π	−π	ADV
ejpam-5334	158	20	<	<	X
ejpam-5334	158	21	ψ	ψ	X
ejpam-5334	158	22	≤	≤	PROPN
ejpam-5334	158	23	π	π	PROPN
ejpam-5334	158	24	,	,	PUNCT
ejpam-5334	158	25	1	1	NUM
ejpam-5334	158	26	2	2	NUM
ejpam-5334	158	27	<	<	X
ejpam-5334	158	28	υ	υ	PROPN
ejpam-5334	158	29	≤	≤	ADJ
ejpam-5334	158	30	1	1	NUM
ejpam-5334	158	31	ℶ	ℶ	NOUN
ejpam-5334	158	32	,	,	PUNCT
ejpam-5334	158	33	ϖ	ϖ	PROPN
ejpam-5334	158	34	∈	∈	PROPN
ejpam-5334	158	35	∆	∆	PROPN
ejpam-5334	158	36	and	and	CCONJ
ejpam-5334	158	37	h	h	NOUN
ejpam-5334	158	38	=	=	PROPN
ejpam-5334	158	39	p−1	p−1	PROPN
ejpam-5334	158	40	.	.	PUNCT
ejpam-5334	159	1	then	then	ADV
ejpam-5334	159	2	|c2|	|c2|	VERB
ejpam-5334	159	3	≤	≤	NOUN
ejpam-5334	159	4	√	√	ADP
ejpam-5334	159	5	φ(ψ	φ(ψ	PROPN
ejpam-5334	159	6	,	,	PUNCT
ejpam-5334	159	7	υ	υ	NOUN
ejpam-5334	159	8	)	)	PUNCT
ejpam-5334	159	9	,	,	PUNCT
ejpam-5334	159	10	|c3|	|c3|	ADJ
ejpam-5334	159	11	≤	≤	NUM
ejpam-5334	159	12	(	(	PUNCT
ejpam-5334	159	13	2υ	2υ	NUM
ejpam-5334	159	14	−	−	PROPN
ejpam-5334	159	15	1)2	1)2	NUM
ejpam-5334	159	16	4	4	NUM
ejpam-5334	159	17	(	(	PUNCT
ejpam-5334	159	18	eiψ	eiψ	NOUN
ejpam-5334	159	19	+	+	CCONJ
ejpam-5334	159	20	3	3	X
ejpam-5334	159	21	)	)	SYM
ejpam-5334	159	22	2	2	NUM
ejpam-5334	160	1	+	+	NUM
ejpam-5334	160	2	2υ	2υ	NUM
ejpam-5334	160	3	−	−	NUM
ejpam-5334	160	4	1	1	NUM
ejpam-5334	160	5	6	6	NUM
ejpam-5334	160	6	(	(	PUNCT
ejpam-5334	160	7	eiψ	eiψ	NOUN
ejpam-5334	160	8	+	+	CCONJ
ejpam-5334	160	9	2	2	NUM
ejpam-5334	160	10	)	)	PUNCT
ejpam-5334	160	11	.	.	PUNCT
ejpam-5334	161	1	and	and	CCONJ
ejpam-5334	161	2	∣∣c3	∣∣c3	VERB
ejpam-5334	161	3	−	−	PROPN
ejpam-5334	161	4	ζc22	ζc22	PROPN
ejpam-5334	161	5	∣∣	∣∣	NUM
ejpam-5334	161	6	≤	≤	PUNCT
ejpam-5334	161	7			PROPN
ejpam-5334	161	8	2υ−1	2υ−1	PROPN
ejpam-5334	161	9	3(eiψ+2	3(eiψ+2	NUM
ejpam-5334	161	10	)	)	PUNCT
ejpam-5334	161	11	if	if	SCONJ
ejpam-5334	161	12	0	0	NUM
ejpam-5334	161	13	≤	≤	NUM
ejpam-5334	161	14	|1−	|1−	VERB
ejpam-5334	161	15	ζ|φ(ψ	ζ|φ(ψ	PROPN
ejpam-5334	161	16	,	,	PUNCT
ejpam-5334	161	17	υ	υ	NOUN
ejpam-5334	161	18	)	)	PUNCT
ejpam-5334	161	19	<	<	X
ejpam-5334	161	20	2υ−1	2υ−1	NUM
ejpam-5334	161	21	6(eiψ+2	6(eiψ+2	NUM
ejpam-5334	161	22	)	)	PUNCT
ejpam-5334	161	23	,	,	PUNCT
ejpam-5334	161	24	2	2	NUM
ejpam-5334	161	25	|1−	|1−	NOUN
ejpam-5334	161	26	ζ|φ(ψ	ζ|φ(ψ	PROPN
ejpam-5334	161	27	,	,	PUNCT
ejpam-5334	161	28	υ	υ	NOUN
ejpam-5334	161	29	)	)	PUNCT
ejpam-5334	161	30	if	if	SCONJ
ejpam-5334	161	31	|1−	|1−	PROPN
ejpam-5334	161	32	ζ|φ(ψ	ζ|φ(ψ	PROPN
ejpam-5334	161	33	,	,	PUNCT
ejpam-5334	161	34	υ	υ	NOUN
ejpam-5334	161	35	)	)	PUNCT
ejpam-5334	161	36	≥	≥	NOUN
ejpam-5334	161	37	2υ−1	2υ−1	NUM
ejpam-5334	161	38	6(eiψ+2	6(eiψ+2	NUM
ejpam-5334	161	39	)	)	PUNCT
ejpam-5334	161	40	.	.	PUNCT
ejpam-5334	162	1	where	where	SCONJ
ejpam-5334	162	2	φ(ψ	φ(ψ	PROPN
ejpam-5334	162	3	,	,	PUNCT
ejpam-5334	162	4	υ	υ	NOUN
ejpam-5334	162	5	)	)	PUNCT
ejpam-5334	162	6	=	=	SYM
ejpam-5334	162	7	(	(	PUNCT
ejpam-5334	162	8	2υ	2υ	NUM
ejpam-5334	162	9	−	−	PROPN
ejpam-5334	162	10	1)3	1)3	PROPN
ejpam-5334	162	11	2	2	NUM
ejpam-5334	162	12	∣∣∣3	∣∣∣3	NOUN
ejpam-5334	162	13	(	(	PUNCT
ejpam-5334	162	14	eiψ	eiψ	X
ejpam-5334	162	15	+	+	CCONJ
ejpam-5334	162	16	2	2	X
ejpam-5334	162	17	)	)	PUNCT
ejpam-5334	162	18	(	(	PUNCT
ejpam-5334	162	19	2υ	2υ	NOUN
ejpam-5334	162	20	−	−	PROPN
ejpam-5334	162	21	1)2	1)2	NUM
ejpam-5334	162	22	−	−	NOUN
ejpam-5334	162	23	2	2	NUM
ejpam-5334	162	24	(	(	PUNCT
ejpam-5334	162	25	eiψ	eiψ	NOUN
ejpam-5334	162	26	+	+	CCONJ
ejpam-5334	162	27	3	3	X
ejpam-5334	162	28	)	)	SYM
ejpam-5334	162	29	2	2	NUM
ejpam-5334	162	30	(	(	PUNCT
ejpam-5334	162	31	υ2	υ2	NOUN
ejpam-5334	162	32	−	−	PROPN
ejpam-5334	162	33	3υ	3υ	NOUN
ejpam-5334	162	34	+	+	CCONJ
ejpam-5334	162	35	1	1	NUM
ejpam-5334	162	36	)	)	PUNCT
ejpam-5334	162	37	∣∣∣	∣∣∣	NOUN
ejpam-5334	162	38	.	.	PUNCT
ejpam-5334	163	1	proof	proof	NOUN
ejpam-5334	163	2	.	.	PUNCT
ejpam-5334	164	1	since	since	SCONJ
ejpam-5334	164	2	p(ℶ	p(ℶ	PROPN
ejpam-5334	164	3	)	)	PUNCT
ejpam-5334	164	4	=	=	SYM
ejpam-5334	164	5	ℶ+	ℶ+	X
ejpam-5334	165	1	∞∑	∞∑	PRON
ejpam-5334	165	2	i=2	i=2	PROPN
ejpam-5334	165	3	ciℶi	ciℶi	NOUN
ejpam-5334	165	4	∈	∈	NOUN
ejpam-5334	165	5	lγ(ψ	lγ(ψ	X
ejpam-5334	165	6	,	,	PUNCT
ejpam-5334	165	7	υ	υ	NOUN
ejpam-5334	165	8	)	)	PUNCT
ejpam-5334	165	9	,	,	PUNCT
ejpam-5334	165	10	so	so	ADV
ejpam-5334	165	11	from	from	ADP
ejpam-5334	165	12	equations	equation	NOUN
ejpam-5334	165	13	(	(	PUNCT
ejpam-5334	165	14	13	13	NUM
ejpam-5334	165	15	)	)	PUNCT
ejpam-5334	165	16	,	,	PUNCT
ejpam-5334	165	17	(	(	PUNCT
ejpam-5334	165	18	14	14	NUM
ejpam-5334	165	19	)	)	PUNCT
ejpam-5334	165	20	and	and	CCONJ
ejpam-5334	165	21	definition	definition	NOUN
ejpam-5334	165	22	2	2	NUM
ejpam-5334	165	23	,	,	PUNCT
ejpam-5334	165	24	we	we	PRON
ejpam-5334	165	25	are	be	AUX
ejpam-5334	165	26	able	able	ADJ
ejpam-5334	165	27	to	to	PART
ejpam-5334	165	28	write	write	VERB
ejpam-5334	165	29	p′(ℶ	p′(ℶ	NOUN
ejpam-5334	165	30	)	)	PUNCT
ejpam-5334	166	1	+	+	CCONJ
ejpam-5334	167	1	ℶ	ℶ	X
ejpam-5334	167	2	eiψ	eiψ	NOUN
ejpam-5334	167	3	+	+	CCONJ
ejpam-5334	167	4	1	1	NUM
ejpam-5334	167	5	2	2	NUM
ejpam-5334	167	6	p′′(ℶ	p′′(ℶ	NOUN
ejpam-5334	167	7	)	)	PUNCT
ejpam-5334	167	8	≺	≺	NOUN
ejpam-5334	167	9	k(υ,ℶ	k(υ,ℶ	NOUN
ejpam-5334	167	10	)	)	PUNCT
ejpam-5334	167	11	(	(	PUNCT
ejpam-5334	167	12	27	27	NUM
ejpam-5334	167	13	)	)	PUNCT
ejpam-5334	167	14	tariq	tariq	PROPN
ejpam-5334	167	15	al	al	PROPN
ejpam-5334	167	16	-	-	PUNCT
ejpam-5334	167	17	hawary	hawary	PROPN
ejpam-5334	167	18	et	et	PROPN
ejpam-5334	167	19	al	al	PROPN
ejpam-5334	167	20	.	.	PUNCT
ejpam-5334	167	21	/	/	SYM
ejpam-5334	167	22	eur	eur	PROPN
ejpam-5334	167	23	.	.	PUNCT
ejpam-5334	168	1	j.	j.	PROPN
ejpam-5334	168	2	pure	pure	PROPN
ejpam-5334	168	3	appl	appl	PROPN
ejpam-5334	168	4	.	.	PROPN
ejpam-5334	168	5	math	math	PROPN
ejpam-5334	168	6	,	,	PUNCT
ejpam-5334	168	7	17	17	NUM
ejpam-5334	168	8	(	(	PUNCT
ejpam-5334	168	9	4	4	NUM
ejpam-5334	168	10	)	)	PUNCT
ejpam-5334	168	11	(	(	PUNCT
ejpam-5334	168	12	2024	2024	NUM
ejpam-5334	168	13	)	)	PUNCT
ejpam-5334	168	14	,	,	PUNCT
ejpam-5334	168	15	2538	2538	NUM
ejpam-5334	168	16	-	-	SYM
ejpam-5334	168	17	2549	2549	NUM
ejpam-5334	168	18	2546	2546	NUM
ejpam-5334	168	19	and	and	CCONJ
ejpam-5334	168	20	h′(ϖ	h′(ϖ	NUM
ejpam-5334	168	21	)	)	PUNCT
ejpam-5334	169	1	+	+	NOUN
ejpam-5334	169	2	ϖ	ϖ	PROPN
ejpam-5334	169	3	eiψ	eiψ	NOUN
ejpam-5334	169	4	+	+	CCONJ
ejpam-5334	169	5	1	1	NUM
ejpam-5334	169	6	2	2	NUM
ejpam-5334	169	7	h′′(ϖ	h′′(ϖ	NOUN
ejpam-5334	169	8	)	)	PUNCT
ejpam-5334	169	9	≺	≺	NOUN
ejpam-5334	169	10	k(υ,ϖ	k(υ,ϖ	NOUN
ejpam-5334	169	11	)	)	PUNCT
ejpam-5334	169	12	.	.	PUNCT
ejpam-5334	170	1	(	(	PUNCT
ejpam-5334	170	2	28	28	NUM
ejpam-5334	170	3	)	)	PUNCT
ejpam-5334	170	4	by	by	AUX
ejpam-5334	170	5	compare	compare	VERB
ejpam-5334	170	6	the	the	DET
ejpam-5334	170	7	coefficients	coefficient	NOUN
ejpam-5334	170	8	in	in	ADP
ejpam-5334	170	9	(	(	PUNCT
ejpam-5334	170	10	27	27	NUM
ejpam-5334	170	11	)	)	PUNCT
ejpam-5334	170	12	and	and	CCONJ
ejpam-5334	170	13	(	(	PUNCT
ejpam-5334	170	14	28	28	NUM
ejpam-5334	170	15	)	)	PUNCT
ejpam-5334	170	16	,	,	PUNCT
ejpam-5334	170	17	where	where	SCONJ
ejpam-5334	170	18	k(υ,ℶ	k(υ,ℶ	NOUN
ejpam-5334	170	19	)	)	PUNCT
ejpam-5334	170	20	and	and	CCONJ
ejpam-5334	170	21	k(υ,ϖ	k(υ,ϖ	X
ejpam-5334	170	22	)	)	PUNCT
ejpam-5334	170	23	respectively	respectively	ADV
ejpam-5334	170	24	given	give	VERB
ejpam-5334	170	25	by	by	ADP
ejpam-5334	170	26	(	(	PUNCT
ejpam-5334	170	27	13	13	NUM
ejpam-5334	170	28	)	)	PUNCT
ejpam-5334	170	29	and	and	CCONJ
ejpam-5334	170	30	(	(	PUNCT
ejpam-5334	170	31	14	14	NUM
ejpam-5334	170	32	)	)	PUNCT
ejpam-5334	170	33	,	,	PUNCT
ejpam-5334	170	34	we	we	PRON
ejpam-5334	170	35	have	have	VERB
ejpam-5334	170	36	(	(	PUNCT
ejpam-5334	170	37	eiψ	eiψ	VERB
ejpam-5334	170	38	+	+	CCONJ
ejpam-5334	170	39	3	3	X
ejpam-5334	170	40	)	)	PUNCT
ejpam-5334	170	41	c2	c2	PROPN
ejpam-5334	170	42	=	=	SYM
ejpam-5334	170	43	φ1(υ	φ1(υ	PROPN
ejpam-5334	170	44	)	)	PUNCT
ejpam-5334	170	45	2	2	NUM
ejpam-5334	170	46	γ1	γ1	NOUN
ejpam-5334	170	47	,	,	PUNCT
ejpam-5334	170	48	(	(	PUNCT
ejpam-5334	170	49	29	29	NUM
ejpam-5334	170	50	)	)	SYM
ejpam-5334	170	51	3	3	NUM
ejpam-5334	170	52	(	(	PUNCT
ejpam-5334	170	53	eiψ	eiψ	PROPN
ejpam-5334	170	54	+	+	CCONJ
ejpam-5334	170	55	2	2	X
ejpam-5334	170	56	)	)	PUNCT
ejpam-5334	170	57	c3	c3	NOUN
ejpam-5334	170	58	=	=	SYM
ejpam-5334	170	59	φ1(υ	φ1(υ	PROPN
ejpam-5334	170	60	)	)	PUNCT
ejpam-5334	170	61	2	2	NUM
ejpam-5334	170	62	(	(	PUNCT
ejpam-5334	170	63	γ2	γ2	NOUN
ejpam-5334	170	64	−	−	PROPN
ejpam-5334	170	65	γ21	γ21	NOUN
ejpam-5334	170	66	2	2	NUM
ejpam-5334	170	67	)	)	PUNCT
ejpam-5334	171	1	+	+	CCONJ
ejpam-5334	171	2	φ2(υ	φ2(υ	ADJ
ejpam-5334	171	3	)	)	PUNCT
ejpam-5334	171	4	8	8	NUM
ejpam-5334	171	5	γ21	γ21	NOUN
ejpam-5334	171	6	,	,	PUNCT
ejpam-5334	171	7	(	(	PUNCT
ejpam-5334	171	8	30	30	NUM
ejpam-5334	171	9	)	)	PUNCT
ejpam-5334	171	10	−	−	PROPN
ejpam-5334	172	1	(	(	PUNCT
ejpam-5334	172	2	eiψ	eiψ	PROPN
ejpam-5334	172	3	+	+	CCONJ
ejpam-5334	172	4	3	3	X
ejpam-5334	172	5	)	)	PUNCT
ejpam-5334	172	6	c2	c2	PROPN
ejpam-5334	172	7	=	=	SYM
ejpam-5334	172	8	φ1(υ	φ1(υ	PROPN
ejpam-5334	172	9	)	)	PUNCT
ejpam-5334	172	10	2	2	NUM
ejpam-5334	172	11	λ1	λ1	ADJ
ejpam-5334	172	12	,	,	PUNCT
ejpam-5334	172	13	(	(	PUNCT
ejpam-5334	172	14	31	31	NUM
ejpam-5334	172	15	)	)	PUNCT
ejpam-5334	172	16	and	and	CCONJ
ejpam-5334	172	17	3	3	NUM
ejpam-5334	172	18	(	(	PUNCT
ejpam-5334	172	19	eiψ	eiψ	PROPN
ejpam-5334	172	20	+	+	CCONJ
ejpam-5334	172	21	2	2	X
ejpam-5334	172	22	)	)	PUNCT
ejpam-5334	172	23	(	(	PUNCT
ejpam-5334	172	24	2c22	2c22	NOUN
ejpam-5334	172	25	−	−	PROPN
ejpam-5334	172	26	c3	c3	PROPN
ejpam-5334	172	27	)	)	PUNCT
ejpam-5334	172	28	=	=	SYM
ejpam-5334	173	1	φ1(υ	φ1(υ	PROPN
ejpam-5334	173	2	)	)	PUNCT
ejpam-5334	173	3	2	2	NUM
ejpam-5334	173	4	(	(	PUNCT
ejpam-5334	173	5	λ2	λ2	NOUN
ejpam-5334	173	6	−	−	PROPN
ejpam-5334	173	7	λ21	λ21	NOUN
ejpam-5334	173	8	2	2	NUM
ejpam-5334	173	9	)	)	PUNCT
ejpam-5334	173	10	+	+	CCONJ
ejpam-5334	173	11	φ2(υ	φ2(υ	PROPN
ejpam-5334	173	12	)	)	PUNCT
ejpam-5334	173	13	8	8	NUM
ejpam-5334	173	14	λ21	λ21	NOUN
ejpam-5334	173	15	.	.	PUNCT
ejpam-5334	174	1	(	(	PUNCT
ejpam-5334	174	2	32	32	NUM
ejpam-5334	174	3	)	)	PUNCT
ejpam-5334	174	4	by	by	ADP
ejpam-5334	174	5	the	the	DET
ejpam-5334	174	6	same	same	ADJ
ejpam-5334	174	7	technique	technique	NOUN
ejpam-5334	174	8	proving	proving	NOUN
ejpam-5334	174	9	of	of	ADP
ejpam-5334	174	10	theorem	theorem	NOUN
ejpam-5334	174	11	1	1	NUM
ejpam-5334	174	12	,	,	PUNCT
ejpam-5334	174	13	we	we	PRON
ejpam-5334	174	14	get	get	VERB
ejpam-5334	174	15	the	the	DET
ejpam-5334	174	16	results	result	NOUN
ejpam-5334	174	17	given	give	VERB
ejpam-5334	174	18	by	by	ADP
ejpam-5334	174	19	theorem	theorem	NOUN
ejpam-5334	174	20	2	2	NUM
ejpam-5334	174	21	.	.	NOUN
ejpam-5334	175	1	3	3	NUM
ejpam-5334	175	2	.	.	X
ejpam-5334	176	1	some	some	DET
ejpam-5334	176	2	corollaries	corollary	NOUN
ejpam-5334	176	3	when	when	SCONJ
ejpam-5334	176	4	we	we	PRON
ejpam-5334	176	5	set	set	VERB
ejpam-5334	176	6	κ	κ	NOUN
ejpam-5334	176	7	=	=	SYM
ejpam-5334	176	8	1	1	NUM
ejpam-5334	176	9	in	in	ADP
ejpam-5334	176	10	theorems	theorem	NOUN
ejpam-5334	176	11	1	1	NUM
ejpam-5334	176	12	,	,	PUNCT
ejpam-5334	176	13	the	the	DET
ejpam-5334	176	14	next	next	ADJ
ejpam-5334	176	15	corollary	corollary	NOUN
ejpam-5334	176	16	is	be	AUX
ejpam-5334	176	17	revealed	reveal	VERB
ejpam-5334	176	18	.	.	PUNCT
ejpam-5334	177	1	corollary	corollary	ADJ
ejpam-5334	177	2	1	1	NUM
ejpam-5334	177	3	.	.	PUNCT
ejpam-5334	178	1	let	let	VERB
ejpam-5334	178	2	p	p	PRON
ejpam-5334	178	3	∈	∈	PROPN
ejpam-5334	178	4	γ	γ	NOUN
ejpam-5334	178	5	given	give	VERB
ejpam-5334	178	6	by	by	ADP
ejpam-5334	178	7	(	(	PUNCT
ejpam-5334	178	8	1	1	NUM
ejpam-5334	178	9	)	)	PUNCT
ejpam-5334	178	10	in	in	ADP
ejpam-5334	178	11	the	the	DET
ejpam-5334	178	12	class	class	NOUN
ejpam-5334	178	13	fγ(1	fγ(1	PROPN
ejpam-5334	178	14	,	,	PUNCT
ejpam-5334	178	15	ϵ	ϵ	X
ejpam-5334	178	16	,	,	PUNCT
ejpam-5334	178	17	υ	υ	NOUN
ejpam-5334	178	18	)	)	PUNCT
ejpam-5334	178	19	where	where	SCONJ
ejpam-5334	178	20	ϵ	ϵ	X
ejpam-5334	178	21	≥	≥	NOUN
ejpam-5334	178	22	0	0	NUM
ejpam-5334	178	23	,	,	PUNCT
ejpam-5334	178	24	1	1	NUM
ejpam-5334	178	25	2	2	NUM
ejpam-5334	178	26	<	<	X
ejpam-5334	178	27	υ	υ	PROPN
ejpam-5334	178	28	≤	≤	ADJ
ejpam-5334	178	29	1	1	NUM
ejpam-5334	178	30	ℶ	ℶ	NOUN
ejpam-5334	178	31	,	,	PUNCT
ejpam-5334	178	32	ϖ	ϖ	PROPN
ejpam-5334	178	33	∈	∈	PROPN
ejpam-5334	178	34	∆	∆	PROPN
ejpam-5334	178	35	and	and	CCONJ
ejpam-5334	178	36	h	h	NOUN
ejpam-5334	178	37	=	=	PROPN
ejpam-5334	178	38	p−1	p−1	PROPN
ejpam-5334	178	39	.	.	PUNCT
ejpam-5334	179	1	then	then	ADV
ejpam-5334	179	2	|c2|	|c2|	VERB
ejpam-5334	179	3	≤	≤	NOUN
ejpam-5334	179	4	√	√	ADP
ejpam-5334	179	5	𭟋(ϵ	𭟋(ϵ	PROPN
ejpam-5334	179	6	,	,	PUNCT
ejpam-5334	179	7	1	1	NUM
ejpam-5334	179	8	,	,	PUNCT
ejpam-5334	179	9	υ	υ	NOUN
ejpam-5334	179	10	)	)	PUNCT
ejpam-5334	179	11	,	,	PUNCT
ejpam-5334	179	12	|c3|	|c3|	ADJ
ejpam-5334	179	13	≤	≤	NUM
ejpam-5334	179	14	(	(	PUNCT
ejpam-5334	179	15	2υ	2υ	NUM
ejpam-5334	179	16	−	−	PROPN
ejpam-5334	179	17	1)2	1)2	NUM
ejpam-5334	179	18	16	16	NUM
ejpam-5334	179	19	(	(	PUNCT
ejpam-5334	179	20	ϵ+	ϵ+	PUNCT
ejpam-5334	179	21	1)2	1)2	NUM
ejpam-5334	179	22	+	+	NUM
ejpam-5334	179	23	2υ	2υ	NUM
ejpam-5334	179	24	−	−	NOUN
ejpam-5334	179	25	1	1	NUM
ejpam-5334	179	26	6	6	NUM
ejpam-5334	179	27	(	(	PUNCT
ejpam-5334	179	28	2ϵ+	2ϵ+	NUM
ejpam-5334	179	29	1	1	NUM
ejpam-5334	179	30	)	)	PUNCT
ejpam-5334	179	31	.	.	PUNCT
ejpam-5334	180	1	and	and	CCONJ
ejpam-5334	180	2	∣∣c3	∣∣c3	VERB
ejpam-5334	180	3	−	−	PROPN
ejpam-5334	180	4	ζc22	ζc22	PROPN
ejpam-5334	180	5	∣∣	∣∣	NUM
ejpam-5334	180	6	≤	≤	PUNCT
ejpam-5334	180	7			PROPN
ejpam-5334	180	8	2υ−1	2υ−1	NUM
ejpam-5334	180	9	3(2ϵ+1	3(2ϵ+1	NUM
ejpam-5334	180	10	)	)	PUNCT
ejpam-5334	180	11	if	if	SCONJ
ejpam-5334	180	12	0	0	NUM
ejpam-5334	180	13	≤	≤	NUM
ejpam-5334	180	14	|1−	|1−	NOUN
ejpam-5334	180	15	ζ|𭟋(ϵ	ζ|𭟋(ϵ	NOUN
ejpam-5334	180	16	,	,	PUNCT
ejpam-5334	180	17	1	1	NUM
ejpam-5334	180	18	,	,	PUNCT
ejpam-5334	180	19	υ	υ	NOUN
ejpam-5334	180	20	)	)	PUNCT
ejpam-5334	180	21	<	<	X
ejpam-5334	180	22	2υ−1	2υ−1	NUM
ejpam-5334	180	23	6(2ϵ+1	6(2ϵ+1	NUM
ejpam-5334	180	24	)	)	PUNCT
ejpam-5334	180	25	,	,	PUNCT
ejpam-5334	180	26	2	2	NUM
ejpam-5334	180	27	|1−	|1−	NOUN
ejpam-5334	180	28	ζ|𭟋(ϵ	ζ|𭟋(ϵ	NOUN
ejpam-5334	180	29	,	,	PUNCT
ejpam-5334	180	30	1	1	NUM
ejpam-5334	180	31	,	,	PUNCT
ejpam-5334	180	32	υ	υ	NOUN
ejpam-5334	180	33	)	)	PUNCT
ejpam-5334	180	34	if	if	SCONJ
ejpam-5334	180	35	|1−	|1−	ADJ
ejpam-5334	180	36	ζ|𭟋(ϵ	ζ|𭟋(ϵ	NOUN
ejpam-5334	180	37	,	,	PUNCT
ejpam-5334	180	38	1	1	NUM
ejpam-5334	180	39	,	,	PUNCT
ejpam-5334	180	40	υ	υ	NOUN
ejpam-5334	180	41	)	)	PUNCT
ejpam-5334	180	42	≥	≥	NOUN
ejpam-5334	180	43	2υ−1	2υ−1	NUM
ejpam-5334	180	44	6(2ϵ+1	6(2ϵ+1	NUM
ejpam-5334	180	45	)	)	PUNCT
ejpam-5334	180	46	.	.	PUNCT
ejpam-5334	181	1	where	where	SCONJ
ejpam-5334	181	2	𭟋(ϵ	𭟋(ϵ	PROPN
ejpam-5334	181	3	,	,	PUNCT
ejpam-5334	181	4	1	1	NUM
ejpam-5334	181	5	,	,	PUNCT
ejpam-5334	181	6	υ	υ	NOUN
ejpam-5334	181	7	)	)	PUNCT
ejpam-5334	181	8	=	=	SYM
ejpam-5334	181	9	(	(	PUNCT
ejpam-5334	181	10	2υ	2υ	NUM
ejpam-5334	181	11	−	−	PROPN
ejpam-5334	181	12	1)3	1)3	PROPN
ejpam-5334	181	13	2	2	NUM
ejpam-5334	181	14	∣∣∣3	∣∣∣3	NOUN
ejpam-5334	181	15	(	(	PUNCT
ejpam-5334	181	16	2ϵ+	2ϵ+	NUM
ejpam-5334	181	17	1	1	NUM
ejpam-5334	181	18	)	)	PUNCT
ejpam-5334	181	19	(	(	PUNCT
ejpam-5334	181	20	2υ	2υ	NOUN
ejpam-5334	181	21	−	−	PROPN
ejpam-5334	181	22	1)2	1)2	NUM
ejpam-5334	181	23	−	−	NOUN
ejpam-5334	181	24	8	8	NUM
ejpam-5334	181	25	(	(	PUNCT
ejpam-5334	181	26	ϵ+	ϵ+	PUNCT
ejpam-5334	181	27	1)2	1)2	NUM
ejpam-5334	181	28	(	(	PUNCT
ejpam-5334	181	29	υ2	υ2	PROPN
ejpam-5334	181	30	−	−	PROPN
ejpam-5334	181	31	3υ	3υ	NOUN
ejpam-5334	181	32	+	+	CCONJ
ejpam-5334	181	33	1	1	NUM
ejpam-5334	181	34	)	)	PUNCT
ejpam-5334	181	35	∣∣∣	∣∣∣	NOUN
ejpam-5334	181	36	.	.	PUNCT
ejpam-5334	182	1	tariq	tariq	PROPN
ejpam-5334	182	2	al	al	PROPN
ejpam-5334	182	3	-	-	PUNCT
ejpam-5334	182	4	hawary	hawary	PROPN
ejpam-5334	182	5	et	et	PROPN
ejpam-5334	182	6	al	al	PROPN
ejpam-5334	182	7	.	.	PUNCT
ejpam-5334	182	8	/	/	SYM
ejpam-5334	182	9	eur	eur	PROPN
ejpam-5334	182	10	.	.	PUNCT
ejpam-5334	183	1	j.	j.	PROPN
ejpam-5334	183	2	pure	pure	PROPN
ejpam-5334	183	3	appl	appl	PROPN
ejpam-5334	183	4	.	.	PROPN
ejpam-5334	183	5	math	math	PROPN
ejpam-5334	183	6	,	,	PUNCT
ejpam-5334	183	7	17	17	NUM
ejpam-5334	183	8	(	(	PUNCT
ejpam-5334	183	9	4	4	NUM
ejpam-5334	183	10	)	)	PUNCT
ejpam-5334	183	11	(	(	PUNCT
ejpam-5334	183	12	2024	2024	NUM
ejpam-5334	183	13	)	)	PUNCT
ejpam-5334	183	14	,	,	PUNCT
ejpam-5334	183	15	2538	2538	NUM
ejpam-5334	183	16	-	-	SYM
ejpam-5334	183	17	2549	2549	NUM
ejpam-5334	183	18	2547	2547	NUM
ejpam-5334	183	19	when	when	SCONJ
ejpam-5334	183	20	we	we	PRON
ejpam-5334	183	21	set	set	VERB
ejpam-5334	183	22	ϵ	ϵ	X
ejpam-5334	183	23	=	=	SYM
ejpam-5334	183	24	0	0	NUM
ejpam-5334	183	25	in	in	ADP
ejpam-5334	183	26	theorems	theorem	NOUN
ejpam-5334	183	27	1	1	NUM
ejpam-5334	183	28	,	,	PUNCT
ejpam-5334	183	29	the	the	DET
ejpam-5334	183	30	next	next	ADJ
ejpam-5334	183	31	corollary	corollary	NOUN
ejpam-5334	183	32	is	be	AUX
ejpam-5334	183	33	revealed	reveal	VERB
ejpam-5334	183	34	.	.	PUNCT
ejpam-5334	184	1	corollary	corollary	ADJ
ejpam-5334	184	2	2	2	NUM
ejpam-5334	184	3	.	.	PUNCT
ejpam-5334	185	1	let	let	VERB
ejpam-5334	185	2	p	p	PRON
ejpam-5334	185	3	∈	∈	PROPN
ejpam-5334	185	4	γ	γ	NOUN
ejpam-5334	185	5	given	give	VERB
ejpam-5334	185	6	by	by	ADP
ejpam-5334	185	7	(	(	PUNCT
ejpam-5334	185	8	1	1	NUM
ejpam-5334	185	9	)	)	PUNCT
ejpam-5334	185	10	in	in	ADP
ejpam-5334	185	11	the	the	DET
ejpam-5334	185	12	class	class	NOUN
ejpam-5334	185	13	fγ(κ	fγ(κ	NOUN
ejpam-5334	185	14	,	,	PUNCT
ejpam-5334	185	15	0	0	NUM
ejpam-5334	185	16	,	,	PUNCT
ejpam-5334	185	17	υ	υ	NOUN
ejpam-5334	185	18	)	)	PUNCT
ejpam-5334	185	19	where	where	SCONJ
ejpam-5334	185	20	κ	κ	PROPN
ejpam-5334	185	21	≥	≥	NOUN
ejpam-5334	185	22	1	1	NUM
ejpam-5334	185	23	,	,	PUNCT
ejpam-5334	185	24	1	1	NUM
ejpam-5334	185	25	2	2	NUM
ejpam-5334	185	26	<	<	X
ejpam-5334	185	27	υ	υ	PROPN
ejpam-5334	185	28	≤	≤	ADJ
ejpam-5334	185	29	1	1	NUM
ejpam-5334	185	30	ℶ	ℶ	NOUN
ejpam-5334	185	31	,	,	PUNCT
ejpam-5334	185	32	ϖ	ϖ	PROPN
ejpam-5334	185	33	∈	∈	PROPN
ejpam-5334	185	34	∆	∆	PROPN
ejpam-5334	185	35	and	and	CCONJ
ejpam-5334	185	36	h	h	NOUN
ejpam-5334	185	37	=	=	PROPN
ejpam-5334	185	38	p−1	p−1	PROPN
ejpam-5334	185	39	.	.	PUNCT
ejpam-5334	186	1	then	then	ADV
ejpam-5334	186	2	|c2|	|c2|	VERB
ejpam-5334	186	3	≤	≤	NOUN
ejpam-5334	186	4	√	√	ADP
ejpam-5334	186	5	𭟋(0,κ	𭟋(0,κ	NOUN
ejpam-5334	186	6	,	,	PUNCT
ejpam-5334	186	7	υ	υ	NOUN
ejpam-5334	186	8	)	)	PUNCT
ejpam-5334	186	9	,	,	PUNCT
ejpam-5334	186	10	|c3|	|c3|	ADJ
ejpam-5334	186	11	≤	≤	NUM
ejpam-5334	186	12	(	(	PUNCT
ejpam-5334	186	13	2υ	2υ	NUM
ejpam-5334	186	14	−	−	PROPN
ejpam-5334	186	15	1)2	1)2	NUM
ejpam-5334	186	16	4	4	NUM
ejpam-5334	186	17	(	(	PUNCT
ejpam-5334	186	18	κ	κ	NOUN
ejpam-5334	186	19	+	+	X
ejpam-5334	187	1	1)2	1)2	NUM
ejpam-5334	187	2	+	+	NUM
ejpam-5334	187	3	2υ	2υ	NUM
ejpam-5334	187	4	−	−	NOUN
ejpam-5334	187	5	1	1	NUM
ejpam-5334	187	6	2	2	NUM
ejpam-5334	187	7	(	(	PUNCT
ejpam-5334	187	8	2κ	2κ	NOUN
ejpam-5334	187	9	+	+	CCONJ
ejpam-5334	187	10	1	1	NUM
ejpam-5334	187	11	)	)	PUNCT
ejpam-5334	187	12	.	.	PUNCT
ejpam-5334	188	1	and	and	CCONJ
ejpam-5334	188	2	∣∣c3	∣∣c3	VERB
ejpam-5334	188	3	−	−	PROPN
ejpam-5334	188	4	ζc22	ζc22	PROPN
ejpam-5334	188	5	∣∣	∣∣	NUM
ejpam-5334	188	6	≤	≤	PUNCT
ejpam-5334	188	7			PROPN
ejpam-5334	188	8	2υ−1	2υ−1	PROPN
ejpam-5334	188	9	2κ+1	2κ+1	PROPN
ejpam-5334	189	1	if	if	SCONJ
ejpam-5334	189	2	0	0	NUM
ejpam-5334	189	3	≤	≤	NUM
ejpam-5334	189	4	|1−	|1−	NOUN
ejpam-5334	189	5	ζ|𭟋(0,κ	ζ|𭟋(0,κ	NOUN
ejpam-5334	189	6	,	,	PUNCT
ejpam-5334	189	7	υ	υ	NOUN
ejpam-5334	189	8	)	)	PUNCT
ejpam-5334	189	9	<	<	X
ejpam-5334	189	10	2υ−1	2υ−1	NUM
ejpam-5334	189	11	2(2κ+1	2(2κ+1	NUM
ejpam-5334	189	12	)	)	PUNCT
ejpam-5334	189	13	,	,	PUNCT
ejpam-5334	189	14	2	2	NUM
ejpam-5334	189	15	|1−	|1−	NOUN
ejpam-5334	189	16	ζ|𭟋(0,κ	ζ|𭟋(0,κ	NOUN
ejpam-5334	189	17	,	,	PUNCT
ejpam-5334	189	18	υ	υ	NOUN
ejpam-5334	189	19	)	)	PUNCT
ejpam-5334	189	20	if	if	SCONJ
ejpam-5334	189	21	|1−	|1−	PROPN
ejpam-5334	189	22	ζ|𭟋(0,κ	ζ|𭟋(0,κ	NOUN
ejpam-5334	189	23	,	,	PUNCT
ejpam-5334	189	24	υ	υ	NOUN
ejpam-5334	189	25	)	)	PUNCT
ejpam-5334	189	26	≥	≥	NOUN
ejpam-5334	189	27	2υ−1	2υ−1	NUM
ejpam-5334	189	28	2(2κ+1	2(2κ+1	NUM
ejpam-5334	189	29	)	)	PUNCT
ejpam-5334	189	30	.	.	PUNCT
ejpam-5334	190	1	where	where	SCONJ
ejpam-5334	190	2	𭟋(0,κ	𭟋(0,κ	NOUN
ejpam-5334	190	3	,	,	PUNCT
ejpam-5334	190	4	υ	υ	NOUN
ejpam-5334	190	5	)	)	PUNCT
ejpam-5334	190	6	=	=	SYM
ejpam-5334	190	7	(	(	PUNCT
ejpam-5334	190	8	2υ	2υ	NUM
ejpam-5334	190	9	−	−	PROPN
ejpam-5334	190	10	1)3	1)3	NUM
ejpam-5334	190	11	2	2	NUM
ejpam-5334	190	12	∣∣∣(2κ	∣∣∣(2κ	NOUN
ejpam-5334	190	13	+	+	NOUN
ejpam-5334	190	14	1	1	X
ejpam-5334	190	15	)	)	PUNCT
ejpam-5334	190	16	(	(	PUNCT
ejpam-5334	190	17	2υ	2υ	NOUN
ejpam-5334	190	18	−	−	PROPN
ejpam-5334	190	19	1)2	1)2	NUM
ejpam-5334	190	20	−	−	NOUN
ejpam-5334	190	21	2	2	NUM
ejpam-5334	190	22	(	(	PUNCT
ejpam-5334	190	23	κ	κ	NOUN
ejpam-5334	190	24	+	+	X
ejpam-5334	191	1	1)2	1)2	NUM
ejpam-5334	191	2	(	(	PUNCT
ejpam-5334	191	3	υ2	υ2	NOUN
ejpam-5334	191	4	−	−	PROPN
ejpam-5334	191	5	3υ	3υ	NOUN
ejpam-5334	191	6	+	+	CCONJ
ejpam-5334	191	7	1	1	NUM
ejpam-5334	191	8	)	)	PUNCT
ejpam-5334	191	9	∣∣∣	∣∣∣	NOUN
ejpam-5334	191	10	.	.	PUNCT
ejpam-5334	192	1	when	when	SCONJ
ejpam-5334	192	2	ϵ	ϵ	X
ejpam-5334	192	3	=	=	SYM
ejpam-5334	192	4	0	0	NUM
ejpam-5334	192	5	in	in	ADP
ejpam-5334	192	6	corollary	corollary	ADJ
ejpam-5334	192	7	1	1	NUM
ejpam-5334	192	8	or	or	CCONJ
ejpam-5334	192	9	ψ	ψ	NOUN
ejpam-5334	192	10	=	=	SYM
ejpam-5334	192	11	π	π	PROPN
ejpam-5334	192	12	in	in	ADP
ejpam-5334	192	13	theorems	theorem	NOUN
ejpam-5334	192	14	2	2	NUM
ejpam-5334	192	15	simplifies	simplifie	NOUN
ejpam-5334	192	16	to	to	ADP
ejpam-5334	192	17	the	the	DET
ejpam-5334	192	18	following	follow	VERB
ejpam-5334	192	19	corollary	corollary	NOUN
ejpam-5334	192	20	.	.	PUNCT
ejpam-5334	193	1	corollary	corollary	ADJ
ejpam-5334	193	2	3	3	NUM
ejpam-5334	193	3	.	.	PUNCT
ejpam-5334	194	1	let	let	VERB
ejpam-5334	194	2	p	p	PRON
ejpam-5334	194	3	∈	∈	PROPN
ejpam-5334	194	4	γ	γ	NOUN
ejpam-5334	194	5	given	give	VERB
ejpam-5334	194	6	by	by	ADP
ejpam-5334	194	7	(	(	PUNCT
ejpam-5334	194	8	1	1	NUM
ejpam-5334	194	9	)	)	PUNCT
ejpam-5334	194	10	in	in	ADP
ejpam-5334	194	11	the	the	DET
ejpam-5334	194	12	class	class	NOUN
ejpam-5334	194	13	fγ(1	fγ(1	PROPN
ejpam-5334	194	14	,	,	PUNCT
ejpam-5334	194	15	0	0	NUM
ejpam-5334	194	16	,	,	PUNCT
ejpam-5334	194	17	υ	υ	NOUN
ejpam-5334	194	18	)	)	PUNCT
ejpam-5334	194	19	≡	≡	PROPN
ejpam-5334	194	20	lγ(π	lγ(π	PROPN
ejpam-5334	194	21	,	,	PUNCT
ejpam-5334	194	22	υ	υ	NOUN
ejpam-5334	194	23	)	)	PUNCT
ejpam-5334	194	24	where	where	SCONJ
ejpam-5334	194	25	1	1	NUM
ejpam-5334	194	26	2	2	NUM
ejpam-5334	194	27	<	<	X
ejpam-5334	194	28	υ	υ	PROPN
ejpam-5334	194	29	≤	≤	ADJ
ejpam-5334	194	30	1	1	NUM
ejpam-5334	194	31	ℶ	ℶ	NOUN
ejpam-5334	194	32	,	,	PUNCT
ejpam-5334	194	33	ϖ	ϖ	PROPN
ejpam-5334	194	34	∈	∈	PROPN
ejpam-5334	194	35	∆	∆	PROPN
ejpam-5334	194	36	and	and	CCONJ
ejpam-5334	194	37	h	h	NOUN
ejpam-5334	194	38	=	=	PROPN
ejpam-5334	194	39	p−1	p−1	PROPN
ejpam-5334	194	40	.	.	PUNCT
ejpam-5334	195	1	then	then	ADV
ejpam-5334	195	2	|c2|	|c2|	VERB
ejpam-5334	195	3	≤	≤	NOUN
ejpam-5334	195	4	√	√	ADP
ejpam-5334	196	1	𭟋(0	𭟋(0	PROPN
ejpam-5334	196	2	,	,	PUNCT
ejpam-5334	196	3	1	1	NUM
ejpam-5334	196	4	,	,	PUNCT
ejpam-5334	196	5	υ	υ	NOUN
ejpam-5334	196	6	)	)	PUNCT
ejpam-5334	196	7	,	,	PUNCT
ejpam-5334	196	8	|c3|	|c3|	ADJ
ejpam-5334	196	9	≤	≤	NUM
ejpam-5334	196	10	(	(	PUNCT
ejpam-5334	196	11	2υ	2υ	NUM
ejpam-5334	196	12	−	−	PROPN
ejpam-5334	196	13	1)2	1)2	NUM
ejpam-5334	196	14	16	16	NUM
ejpam-5334	197	1	+	+	NUM
ejpam-5334	197	2	2υ	2υ	NUM
ejpam-5334	197	3	−	−	NOUN
ejpam-5334	197	4	1	1	NUM
ejpam-5334	197	5	6	6	NUM
ejpam-5334	197	6	.	.	PUNCT
ejpam-5334	198	1	and	and	CCONJ
ejpam-5334	198	2	∣∣c3	∣∣c3	VERB
ejpam-5334	198	3	−	−	PROPN
ejpam-5334	198	4	ζc22	ζc22	PROPN
ejpam-5334	198	5	∣∣	∣∣	NUM
ejpam-5334	198	6	≤	≤	NUM
ejpam-5334	198	7			PUNCT
ejpam-5334	198	8	2υ−1	2υ−1	NUM
ejpam-5334	198	9	3	3	NUM
ejpam-5334	198	10	if	if	SCONJ
ejpam-5334	198	11	0	0	NUM
ejpam-5334	198	12	≤	≤	NUM
ejpam-5334	198	13	|1−	|1−	NOUN
ejpam-5334	198	14	ζ|𭟋(0	ζ|𭟋(0	PROPN
ejpam-5334	198	15	,	,	PUNCT
ejpam-5334	198	16	1	1	NUM
ejpam-5334	198	17	,	,	PUNCT
ejpam-5334	198	18	υ	υ	NOUN
ejpam-5334	198	19	)	)	PUNCT
ejpam-5334	198	20	<	<	X
ejpam-5334	198	21	2υ−1	2υ−1	NUM
ejpam-5334	198	22	6	6	NUM
ejpam-5334	198	23	,	,	PUNCT
ejpam-5334	198	24	2	2	NUM
ejpam-5334	198	25	|1−	|1−	NOUN
ejpam-5334	198	26	ζ|𭟋(0	ζ|𭟋(0	NOUN
ejpam-5334	198	27	,	,	PUNCT
ejpam-5334	198	28	1	1	NUM
ejpam-5334	198	29	,	,	PUNCT
ejpam-5334	198	30	υ	υ	NOUN
ejpam-5334	198	31	)	)	PUNCT
ejpam-5334	198	32	if	if	SCONJ
ejpam-5334	198	33	|1−	|1−	PROPN
ejpam-5334	198	34	ζ|𭟋(0	ζ|𭟋(0	NOUN
ejpam-5334	198	35	,	,	PUNCT
ejpam-5334	198	36	1	1	NUM
ejpam-5334	198	37	,	,	PUNCT
ejpam-5334	198	38	υ	υ	NOUN
ejpam-5334	198	39	)	)	PUNCT
ejpam-5334	198	40	≥	≥	NOUN
ejpam-5334	198	41	2υ−1	2υ−1	NUM
ejpam-5334	198	42	6	6	NUM
ejpam-5334	198	43	.	.	PUNCT
ejpam-5334	199	1	where	where	SCONJ
ejpam-5334	199	2	𭟋(0	𭟋(0	PROPN
ejpam-5334	199	3	,	,	PUNCT
ejpam-5334	199	4	1	1	NUM
ejpam-5334	199	5	,	,	PUNCT
ejpam-5334	199	6	υ	υ	NOUN
ejpam-5334	199	7	)	)	PUNCT
ejpam-5334	199	8	=	=	SYM
ejpam-5334	199	9	(	(	PUNCT
ejpam-5334	199	10	2υ	2υ	NUM
ejpam-5334	199	11	−	−	PROPN
ejpam-5334	199	12	1)3	1)3	NUM
ejpam-5334	199	13	2	2	NUM
ejpam-5334	199	14	|4υ2	|4υ2	ADJ
ejpam-5334	199	15	+	+	ADJ
ejpam-5334	199	16	12υ	12υ	NOUN
ejpam-5334	199	17	−	−	PROPN
ejpam-5334	199	18	5|	5|	NUM
ejpam-5334	199	19	.	.	PUNCT
ejpam-5334	200	1	when	when	SCONJ
ejpam-5334	200	2	we	we	PRON
ejpam-5334	200	3	set	set	VERB
ejpam-5334	200	4	ψ	ψ	X
ejpam-5334	200	5	=	=	NOUN
ejpam-5334	200	6	0	0	NUM
ejpam-5334	200	7	in	in	ADP
ejpam-5334	200	8	theorems	theorem	NOUN
ejpam-5334	200	9	2	2	NUM
ejpam-5334	200	10	,	,	PUNCT
ejpam-5334	200	11	the	the	DET
ejpam-5334	200	12	next	next	ADJ
ejpam-5334	200	13	corollary	corollary	NOUN
ejpam-5334	200	14	is	be	AUX
ejpam-5334	200	15	revealed	reveal	VERB
ejpam-5334	200	16	.	.	PUNCT
ejpam-5334	201	1	corollary	corollary	ADJ
ejpam-5334	201	2	4	4	NUM
ejpam-5334	201	3	.	.	PUNCT
ejpam-5334	202	1	let	let	VERB
ejpam-5334	202	2	p	p	PRON
ejpam-5334	202	3	∈	∈	PROPN
ejpam-5334	202	4	γ	γ	NOUN
ejpam-5334	202	5	given	give	VERB
ejpam-5334	202	6	by	by	ADP
ejpam-5334	202	7	(	(	PUNCT
ejpam-5334	202	8	1	1	NUM
ejpam-5334	202	9	)	)	PUNCT
ejpam-5334	202	10	in	in	ADP
ejpam-5334	202	11	the	the	DET
ejpam-5334	202	12	class	class	NOUN
ejpam-5334	202	13	lγ(0	lγ(0	PROPN
ejpam-5334	202	14	,	,	PUNCT
ejpam-5334	202	15	υ	υ	NOUN
ejpam-5334	202	16	)	)	PUNCT
ejpam-5334	202	17	where	where	SCONJ
ejpam-5334	202	18	1	1	NUM
ejpam-5334	202	19	2	2	NUM
ejpam-5334	202	20	<	<	X
ejpam-5334	202	21	υ	υ	PROPN
ejpam-5334	202	22	≤	≤	ADJ
ejpam-5334	202	23	1	1	NUM
ejpam-5334	202	24	ℶ	ℶ	NOUN
ejpam-5334	202	25	,	,	PUNCT
ejpam-5334	202	26	ϖ	ϖ	PROPN
ejpam-5334	202	27	∈	∈	PROPN
ejpam-5334	202	28	∆	∆	PROPN
ejpam-5334	202	29	and	and	CCONJ
ejpam-5334	202	30	h	h	NOUN
ejpam-5334	202	31	=	=	PROPN
ejpam-5334	202	32	p−1	p−1	PROPN
ejpam-5334	202	33	.	.	PUNCT
ejpam-5334	203	1	then	then	ADV
ejpam-5334	203	2	|c2|	|c2|	VERB
ejpam-5334	203	3	≤	≤	NOUN
ejpam-5334	203	4	√	√	ADP
ejpam-5334	203	5	φ(0	φ(0	ADJ
ejpam-5334	203	6	,	,	PUNCT
ejpam-5334	203	7	υ	υ	NOUN
ejpam-5334	203	8	)	)	PUNCT
ejpam-5334	203	9	,	,	PUNCT
ejpam-5334	203	10	|c3|	|c3|	ADJ
ejpam-5334	203	11	≤	≤	NUM
ejpam-5334	203	12	(	(	PUNCT
ejpam-5334	203	13	2υ	2υ	NUM
ejpam-5334	203	14	−	−	PROPN
ejpam-5334	203	15	1)2	1)2	NUM
ejpam-5334	203	16	64	64	NUM
ejpam-5334	203	17	+	+	NUM
ejpam-5334	203	18	2υ	2υ	NUM
ejpam-5334	203	19	−	−	PROPN
ejpam-5334	203	20	1	1	NUM
ejpam-5334	203	21	18	18	NUM
ejpam-5334	203	22	.	.	PUNCT
ejpam-5334	203	23	references	reference	NOUN
ejpam-5334	203	24	2548	2548	NUM
ejpam-5334	203	25	and	and	CCONJ
ejpam-5334	203	26	∣∣c3	∣∣c3	VERB
ejpam-5334	203	27	−	−	PROPN
ejpam-5334	203	28	ζc22	ζc22	PROPN
ejpam-5334	203	29	∣∣	∣∣	NUM
ejpam-5334	203	30	≤	≤	NUM
ejpam-5334	203	31			PUNCT
ejpam-5334	203	32	2υ−1	2υ−1	NUM
ejpam-5334	203	33	9	9	NUM
ejpam-5334	203	34	if	if	SCONJ
ejpam-5334	203	35	0	0	NUM
ejpam-5334	203	36	≤	≤	NUM
ejpam-5334	203	37	|1−	|1−	NOUN
ejpam-5334	203	38	ζ|φ(0	ζ|φ(0	PROPN
ejpam-5334	203	39	,	,	PUNCT
ejpam-5334	203	40	υ	υ	NOUN
ejpam-5334	203	41	)	)	PUNCT
ejpam-5334	203	42	<	<	X
ejpam-5334	203	43	2υ−1	2υ−1	NUM
ejpam-5334	203	44	18	18	NUM
ejpam-5334	203	45	,	,	PUNCT
ejpam-5334	203	46	2	2	NUM
ejpam-5334	203	47	|1−	|1−	NOUN
ejpam-5334	203	48	ζ|φ(0	ζ|φ(0	NOUN
ejpam-5334	203	49	,	,	PUNCT
ejpam-5334	203	50	υ	υ	NOUN
ejpam-5334	203	51	)	)	PUNCT
ejpam-5334	203	52	if	if	SCONJ
ejpam-5334	203	53	|1−	|1−	ADJ
ejpam-5334	203	54	ζ|φ(0	ζ|φ(0	PROPN
ejpam-5334	203	55	,	,	PUNCT
ejpam-5334	203	56	υ	υ	PROPN
ejpam-5334	203	57	)	)	PUNCT
ejpam-5334	203	58	≥	≥	NOUN
ejpam-5334	203	59	2υ−1	2υ−1	NUM
ejpam-5334	203	60	18	18	NUM
ejpam-5334	203	61	.	.	PUNCT
ejpam-5334	204	1	where	where	SCONJ
ejpam-5334	204	2	φ(0	φ(0	ADJ
ejpam-5334	204	3	,	,	PUNCT
ejpam-5334	204	4	υ	υ	NOUN
ejpam-5334	204	5	)	)	PUNCT
ejpam-5334	204	6	=	=	SYM
ejpam-5334	205	1	(	(	PUNCT
ejpam-5334	205	2	2υ	2υ	NUM
ejpam-5334	205	3	−	−	PROPN
ejpam-5334	205	4	1)3	1)3	NUM
ejpam-5334	205	5	2	2	NUM
ejpam-5334	205	6	|4υ2	|4υ2	ADJ
ejpam-5334	205	7	+	+	NUM
ejpam-5334	205	8	60υ	60υ	NOUN
ejpam-5334	205	9	−	−	PROPN
ejpam-5334	206	1	23|	23|	NUM
ejpam-5334	206	2	.	.	PUNCT
ejpam-5334	207	1	4	4	X
ejpam-5334	207	2	.	.	X
ejpam-5334	207	3	conclusions	conclusion	NOUN
ejpam-5334	207	4	polynomials	polynomial	NOUN
ejpam-5334	207	5	and	and	CCONJ
ejpam-5334	207	6	special	special	ADJ
ejpam-5334	207	7	functions	function	NOUN
ejpam-5334	207	8	are	be	AUX
ejpam-5334	207	9	employed	employ	VERB
ejpam-5334	207	10	in	in	ADP
ejpam-5334	207	11	so	so	ADV
ejpam-5334	207	12	many	many	ADJ
ejpam-5334	207	13	different	different	ADJ
ejpam-5334	207	14	mathematical	mathematical	ADJ
ejpam-5334	207	15	and	and	CCONJ
ejpam-5334	207	16	scientific	scientific	ADJ
ejpam-5334	207	17	domains	domain	NOUN
ejpam-5334	207	18	,	,	PUNCT
ejpam-5334	207	19	many	many	ADJ
ejpam-5334	207	20	eminent	eminent	ADJ
ejpam-5334	207	21	mathematicians	mathematician	NOUN
ejpam-5334	207	22	have	have	AUX
ejpam-5334	207	23	recently	recently	ADV
ejpam-5334	207	24	studied	study	VERB
ejpam-5334	207	25	them	they	PRON
ejpam-5334	207	26	.	.	PUNCT
ejpam-5334	208	1	this	this	DET
ejpam-5334	208	2	paper	paper	NOUN
ejpam-5334	208	3	is	be	AUX
ejpam-5334	208	4	concerned	concern	VERB
ejpam-5334	208	5	with	with	ADP
ejpam-5334	208	6	defining	define	VERB
ejpam-5334	208	7	new	new	ADJ
ejpam-5334	208	8	subclasses	subclass	NOUN
ejpam-5334	208	9	of	of	ADP
ejpam-5334	208	10	analytical	analytical	ADJ
ejpam-5334	208	11	and	and	CCONJ
ejpam-5334	208	12	univalent	univalent	ADJ
ejpam-5334	208	13	functions	function	NOUN
ejpam-5334	208	14	by	by	ADP
ejpam-5334	208	15	the	the	DET
ejpam-5334	208	16	use	use	NOUN
ejpam-5334	208	17	of	of	ADP
ejpam-5334	208	18	euler	euler	NOUN
ejpam-5334	208	19	polynomials	polynomial	NOUN
ejpam-5334	208	20	.	.	PUNCT
ejpam-5334	209	1	for	for	SCONJ
ejpam-5334	209	2	functions	function	NOUN
ejpam-5334	209	3	in	in	ADP
ejpam-5334	209	4	these	these	DET
ejpam-5334	209	5	classes	class	NOUN
ejpam-5334	209	6	fγ(κ	fγ(κ	VERB
ejpam-5334	209	7	,	,	PUNCT
ejpam-5334	209	8	ϵ	ϵ	X
ejpam-5334	209	9	,	,	PUNCT
ejpam-5334	209	10	υ	υ	NOUN
ejpam-5334	209	11	)	)	PUNCT
ejpam-5334	209	12	and	and	CCONJ
ejpam-5334	209	13	lγ(ψ	lγ(ψ	NUM
ejpam-5334	209	14	,	,	PUNCT
ejpam-5334	209	15	υ	υ	NOUN
ejpam-5334	209	16	)	)	PUNCT
ejpam-5334	209	17	,	,	PUNCT
ejpam-5334	209	18	we	we	PRON
ejpam-5334	209	19	obtained	obtain	VERB
ejpam-5334	209	20	an	an	DET
ejpam-5334	209	21	upper	upper	ADJ
ejpam-5334	209	22	bound	bind	VERB
ejpam-5334	209	23	for	for	ADP
ejpam-5334	209	24	the	the	DET
ejpam-5334	209	25	coefficients	coefficient	NOUN
ejpam-5334	209	26	and	and	CCONJ
ejpam-5334	209	27	solved	solve	VERB
ejpam-5334	209	28	the	the	DET
ejpam-5334	209	29	fekete	fekete	PROPN
ejpam-5334	209	30	-	-	PUNCT
ejpam-5334	209	31	szegö	szegö	PROPN
ejpam-5334	209	32	problem	problem	NOUN
ejpam-5334	209	33	.	.	PUNCT
ejpam-5334	210	1	it	it	PRON
ejpam-5334	210	2	remains	remain	VERB
ejpam-5334	210	3	a	a	DET
ejpam-5334	210	4	challenge	challenge	NOUN
ejpam-5334	210	5	to	to	PART
ejpam-5334	210	6	fined	fine	VERB
ejpam-5334	210	7	the	the	DET
ejpam-5334	210	8	upper	upper	ADJ
ejpam-5334	210	9	bounds	bound	NOUN
ejpam-5334	210	10	for	for	ADP
ejpam-5334	210	11	|c2|	|c2|	NOUN
ejpam-5334	210	12	,	,	PUNCT
ejpam-5334	210	13	|c3|	|c3|	VERB
ejpam-5334	210	14	and	and	CCONJ
ejpam-5334	210	15	∣∣c3	∣∣c3	VERB
ejpam-5334	210	16	−	−	PROPN
ejpam-5334	210	17	ζc22	ζc22	PROPN
ejpam-5334	210	18	∣∣	∣∣	NUM
ejpam-5334	210	19	,	,	PUNCT
ejpam-5334	210	20	and	and	CCONJ
ejpam-5334	210	21	still	still	ADV
ejpam-5334	210	22	an	an	DET
ejpam-5334	210	23	interesting	interesting	ADJ
ejpam-5334	210	24	open	open	ADJ
ejpam-5334	210	25	problem	problem	NOUN
ejpam-5334	210	26	for	for	ADP
ejpam-5334	210	27	|ci|	|ci|	PROPN
ejpam-5334	210	28	,	,	PUNCT
ejpam-5334	210	29	i	i	PRON
ejpam-5334	210	30	≥	≥	VERB
ejpam-5334	210	31	3	3	NUM
ejpam-5334	210	32	.	.	PUNCT
ejpam-5334	210	33	references	reference	NOUN
ejpam-5334	210	34	[	[	X
ejpam-5334	210	35	1	1	NUM
ejpam-5334	210	36	]	]	X
ejpam-5334	210	37	b	b	NOUN
ejpam-5334	210	38	a	a	DET
ejpam-5334	210	39	frasin	frasin	NOUN
ejpam-5334	210	40	g	g	PROPN
ejpam-5334	210	41	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5334	210	42	a	a	DET
ejpam-5334	210	43	amourah	amourah	NOUN
ejpam-5334	210	44	and	and	CCONJ
ejpam-5334	210	45	t	t	PROPN
ejpam-5334	210	46	al	al	PROPN
ejpam-5334	210	47	-	-	PUNCT
ejpam-5334	210	48	hawary	hawary	PROPN
ejpam-5334	210	49	.	.	PUNCT
ejpam-5334	211	1	bi	bi	ADJ
ejpam-5334	211	2	-	-	ADJ
ejpam-5334	211	3	bazilevič	bazilevič	NOUN
ejpam-5334	211	4	functions	function	NOUN
ejpam-5334	211	5	of	of	ADP
ejpam-5334	211	6	order	order	NOUN
ejpam-5334	212	1	+	+	ADV
ejpam-5334	212	2	i	i	PRON
ejpam-5334	212	3	associated	associate	VERB
ejpam-5334	212	4	with	with	ADP
ejpam-5334	212	5	(	(	PUNCT
ejpam-5334	212	6	p	p	X
ejpam-5334	212	7	,	,	PUNCT
ejpam-5334	212	8	q)-lucas	q)-lucas	DET
ejpam-5334	212	9	polynomials	polynomial	NOUN
ejpam-5334	212	10	.	.	PUNCT
ejpam-5334	213	1	aims	aim	VERB
ejpam-5334	213	2	mathematics	mathematic	NOUN
ejpam-5334	213	3	,	,	PUNCT
ejpam-5334	213	4	6.5:4296–4305	6.5:4296–4305	NOUN
ejpam-5334	213	5	,	,	PUNCT
ejpam-5334	213	6	2021	2021	NUM
ejpam-5334	213	7	.	.	PUNCT
ejpam-5334	214	1	[	[	X
ejpam-5334	214	2	2	2	NUM
ejpam-5334	214	3	]	]	PUNCT
ejpam-5334	214	4	t	t	PROPN
ejpam-5334	214	5	al	al	PROPN
ejpam-5334	214	6	-	-	PUNCT
ejpam-5334	214	7	hawary	hawary	PROPN
ejpam-5334	214	8	a	a	DET
ejpam-5334	214	9	amourah	amourah	NOUN
ejpam-5334	214	10	and	and	CCONJ
ejpam-5334	214	11	b	b	DET
ejpam-5334	214	12	a	a	DET
ejpam-5334	214	13	frasin	frasin	NOUN
ejpam-5334	214	14	.	.	PUNCT
ejpam-5334	215	1	application	application	NOUN
ejpam-5334	215	2	of	of	ADP
ejpam-5334	215	3	chebyshev	chebyshev	NOUN
ejpam-5334	215	4	polynomials	polynomial	NOUN
ejpam-5334	215	5	to	to	ADP
ejpam-5334	215	6	certain	certain	ADJ
ejpam-5334	215	7	class	class	NOUN
ejpam-5334	215	8	of	of	ADP
ejpam-5334	215	9	bi	bi	ADJ
ejpam-5334	215	10	-	-	ADJ
ejpam-5334	215	11	bazilevič	bazilevič	NOUN
ejpam-5334	215	12	functions	function	NOUN
ejpam-5334	215	13	of	of	ADP
ejpam-5334	215	14	order	order	NOUN
ejpam-5334	215	15	+	+	NUM
ejpam-5334	215	16	i.	i.	NOUN
ejpam-5334	215	17	afrika	afrika	PROPN
ejpam-5334	215	18	matematika	matematika	PROPN
ejpam-5334	215	19	,	,	PUNCT
ejpam-5334	215	20	2021:1–8	2021:1–8	PROPN
ejpam-5334	215	21	,	,	PUNCT
ejpam-5334	215	22	2021	2021	NUM
ejpam-5334	215	23	.	.	PUNCT
ejpam-5334	216	1	[	[	X
ejpam-5334	216	2	3	3	X
ejpam-5334	216	3	]	]	PUNCT
ejpam-5334	216	4	t	t	PROPN
ejpam-5334	216	5	al	al	PROPN
ejpam-5334	216	6	-	-	PUNCT
ejpam-5334	216	7	hawary	hawary	PROPN
ejpam-5334	216	8	.	.	PUNCT
ejpam-5334	217	1	coefficient	coefficient	NOUN
ejpam-5334	217	2	bounds	bound	NOUN
ejpam-5334	217	3	and	and	CCONJ
ejpam-5334	217	4	fekete	fekete	PROPN
ejpam-5334	217	5	–	–	PUNCT
ejpam-5334	217	6	szegö	szegö	ADJ
ejpam-5334	217	7	problem	problem	NOUN
ejpam-5334	217	8	for	for	ADP
ejpam-5334	217	9	qualitative	qualitative	ADJ
ejpam-5334	217	10	subclass	subclass	NOUN
ejpam-5334	217	11	of	of	ADP
ejpam-5334	217	12	bi	bi	ADJ
ejpam-5334	217	13	-	-	ADJ
ejpam-5334	217	14	univalent	univalent	ADJ
ejpam-5334	217	15	functions	function	NOUN
ejpam-5334	217	16	.	.	PUNCT
ejpam-5334	218	1	afrika	afrika	ADJ
ejpam-5334	218	2	matematika	matematika	PROPN
ejpam-5334	218	3	,	,	PUNCT
ejpam-5334	218	4	1(33):1–9	1(33):1–9	NUM
ejpam-5334	218	5	,	,	PUNCT
ejpam-5334	218	6	2022	2022	NUM
ejpam-5334	218	7	.	.	PUNCT
ejpam-5334	219	1	[	[	X
ejpam-5334	219	2	4	4	X
ejpam-5334	219	3	]	]	SYM
ejpam-5334	219	4	j	j	PROPN
ejpam-5334	219	5	dziok	dziok	NOUN
ejpam-5334	219	6	and	and	CCONJ
ejpam-5334	219	7	h	h	NOUN
ejpam-5334	219	8	m	m	PROPN
ejpam-5334	219	9	srivastava	srivastava	PROPN
ejpam-5334	219	10	.	.	PUNCT
ejpam-5334	220	1	certain	certain	ADJ
ejpam-5334	220	2	subclasses	subclass	NOUN
ejpam-5334	220	3	of	of	ADP
ejpam-5334	220	4	analytic	analytic	ADJ
ejpam-5334	220	5	functions	function	NOUN
ejpam-5334	220	6	associated	associate	VERB
ejpam-5334	220	7	with	with	ADP
ejpam-5334	220	8	the	the	DET
ejpam-5334	220	9	generalized	generalize	VERB
ejpam-5334	220	10	hypergeometric	hypergeometric	ADJ
ejpam-5334	220	11	function	function	NOUN
ejpam-5334	220	12	.	.	PUNCT
ejpam-5334	221	1	integral	integral	ADJ
ejpam-5334	221	2	transforms	transform	NOUN
ejpam-5334	221	3	and	and	CCONJ
ejpam-5334	221	4	special	special	ADJ
ejpam-5334	221	5	functions	function	NOUN
ejpam-5334	221	6	,	,	PUNCT
ejpam-5334	221	7	1(14):7–18	1(14):7–18	NUM
ejpam-5334	221	8	,	,	PUNCT
ejpam-5334	221	9	2003	2003	NUM
ejpam-5334	221	10	.	.	PUNCT
ejpam-5334	222	1	[	[	X
ejpam-5334	222	2	5	5	NUM
ejpam-5334	222	3	]	]	PUNCT
ejpam-5334	222	4	t	t	PROPN
ejpam-5334	222	5	al	al	PROPN
ejpam-5334	222	6	-	-	PUNCT
ejpam-5334	222	7	hawary	hawary	PROPN
ejpam-5334	222	8	f	f	PROPN
ejpam-5334	222	9	yousef	yousef	PROPN
ejpam-5334	222	10	and	and	CCONJ
ejpam-5334	222	11	g.	g.	PROPN
ejpam-5334	222	12	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5334	222	13	.	.	PUNCT
ejpam-5334	223	1	fekete	fekete	PROPN
ejpam-5334	223	2	-	-	PUNCT
ejpam-5334	223	3	szegö	szegö	ADJ
ejpam-5334	223	4	functional	functional	ADJ
ejpam-5334	223	5	problems	problem	NOUN
ejpam-5334	223	6	for	for	ADP
ejpam-5334	223	7	some	some	DET
ejpam-5334	223	8	subclasses	subclass	NOUN
ejpam-5334	223	9	of	of	ADP
ejpam-5334	223	10	bi	bi	ADJ
ejpam-5334	223	11	-	-	ADJ
ejpam-5334	223	12	univalent	univalent	ADJ
ejpam-5334	223	13	functions	function	NOUN
ejpam-5334	223	14	defined	define	VERB
ejpam-5334	223	15	by	by	ADP
ejpam-5334	223	16	frasin	frasin	NOUN
ejpam-5334	223	17	differential	differential	NOUN
ejpam-5334	223	18	operator	operator	NOUN
ejpam-5334	223	19	.	.	PUNCT
ejpam-5334	224	1	afrika	afrika	PROPN
ejpam-5334	224	2	matematika	matematika	PROPN
ejpam-5334	224	3	,	,	PUNCT
ejpam-5334	224	4	30(3	30(3	NOUN
ejpam-5334	224	5	-	-	PUNCT
ejpam-5334	224	6	4):495–503	4):495–503	ADJ
ejpam-5334	224	7	,	,	PUNCT
ejpam-5334	224	8	2019	2019	NUM
ejpam-5334	224	9	.	.	PUNCT
ejpam-5334	225	1	[	[	X
ejpam-5334	225	2	6	6	NUM
ejpam-5334	225	3	]	]	PUNCT
ejpam-5334	225	4	m	m	PROPN
ejpam-5334	225	5	fekete	fekete	NOUN
ejpam-5334	225	6	and	and	CCONJ
ejpam-5334	225	7	g	g	PROPN
ejpam-5334	225	8	szegö.	szegö.	PROPN
ejpam-5334	225	9	eine	eine	PROPN
ejpam-5334	225	10	bemerkung	bemerkung	PROPN
ejpam-5334	225	11	ãber	ãber	PROPN
ejpam-5334	225	12	ungerade	ungerade	PROPN
ejpam-5334	225	13	schlichte	schlichte	PROPN
ejpam-5334	225	14	funktionen	funktionen	PROPN
ejpam-5334	225	15	.	.	PUNCT
ejpam-5334	226	1	j.	j.	PROPN
ejpam-5334	226	2	lond	lond	PROPN
ejpam-5334	226	3	.	.	PUNCT
ejpam-5334	227	1	math	math	PROPN
ejpam-5334	227	2	.	.	PUNCT
ejpam-5334	228	1	soc	soc	PROPN
ejpam-5334	228	2	.	.	PUNCT
ejpam-5334	228	3	,	,	PUNCT
ejpam-5334	228	4	1.2:85–89	1.2:85–89	NUM
ejpam-5334	228	5	,	,	PUNCT
ejpam-5334	228	6	1933	1933	NUM
ejpam-5334	228	7	.	.	PUNCT
ejpam-5334	229	1	references	reference	NOUN
ejpam-5334	229	2	2549	2549	NUM
ejpam-5334	229	3	[	[	X
ejpam-5334	229	4	7	7	NUM
ejpam-5334	229	5	]	]	SYM
ejpam-5334	229	6	b	b	NOUN
ejpam-5334	229	7	a	a	DET
ejpam-5334	229	8	frasin	frasin	NOUN
ejpam-5334	229	9	.	.	PUNCT
ejpam-5334	230	1	subordination	subordination	NOUN
ejpam-5334	230	2	results	result	VERB
ejpam-5334	230	3	for	for	ADP
ejpam-5334	230	4	a	a	DET
ejpam-5334	230	5	class	class	NOUN
ejpam-5334	230	6	of	of	ADP
ejpam-5334	230	7	analytic	analytic	ADJ
ejpam-5334	230	8	functions	function	NOUN
ejpam-5334	230	9	defined	define	VERB
ejpam-5334	230	10	by	by	ADP
ejpam-5334	230	11	a	a	DET
ejpam-5334	230	12	linear	linear	ADJ
ejpam-5334	230	13	operator	operator	NOUN
ejpam-5334	230	14	.	.	PUNCT
ejpam-5334	231	1	journal	journal	PROPN
ejpam-5334	231	2	of	of	ADP
ejpam-5334	231	3	inequalities	inequality	NOUN
ejpam-5334	231	4	in	in	ADP
ejpam-5334	231	5	pure	pure	ADJ
ejpam-5334	231	6	and	and	CCONJ
ejpam-5334	231	7	applied	applied	ADJ
ejpam-5334	231	8	mathematics	mathematic	NOUN
ejpam-5334	231	9	,	,	PUNCT
ejpam-5334	231	10	7(4	7(4	NUM
ejpam-5334	231	11	)	)	PUNCT
ejpam-5334	231	12	,	,	PUNCT
ejpam-5334	231	13	2006	2006	NUM
ejpam-5334	231	14	.	.	PUNCT
ejpam-5334	232	1	[	[	X
ejpam-5334	232	2	8	8	NUM
ejpam-5334	232	3	]	]	X
ejpam-5334	232	4	a	a	DET
ejpam-5334	232	5	k	k	PROPN
ejpam-5334	232	6	mishra	mishra	PROPN
ejpam-5334	232	7	h	h	PROPN
ejpam-5334	232	8	m	m	PROPN
ejpam-5334	232	9	srivastava	srivastava	PROPN
ejpam-5334	232	10	and	and	CCONJ
ejpam-5334	232	11	p	p	PROPN
ejpam-5334	232	12	gochhayat	gochhayat	NOUN
ejpam-5334	232	13	.	.	PUNCT
ejpam-5334	233	1	certain	certain	ADJ
ejpam-5334	233	2	subclasses	subclass	NOUN
ejpam-5334	233	3	of	of	ADP
ejpam-5334	233	4	analytic	analytic	ADJ
ejpam-5334	233	5	and	and	CCONJ
ejpam-5334	233	6	bi	bi	ADJ
ejpam-5334	233	7	-	-	ADJ
ejpam-5334	233	8	univalent	univalent	ADJ
ejpam-5334	233	9	functions	function	NOUN
ejpam-5334	233	10	.	.	PUNCT
ejpam-5334	234	1	applied	apply	VERB
ejpam-5334	234	2	mathematics	mathematics	NOUN
ejpam-5334	234	3	letters	letter	NOUN
ejpam-5334	234	4	,	,	PUNCT
ejpam-5334	234	5	30(10):1188–1192	30(10):1188–1192	NUM
ejpam-5334	234	6	,	,	PUNCT
ejpam-5334	234	7	2010	2010	NUM
ejpam-5334	234	8	.	.	PUNCT
ejpam-5334	235	1	[	[	X
ejpam-5334	235	2	9	9	NUM
ejpam-5334	235	3	]	]	SYM
ejpam-5334	235	4	v	v	X
ejpam-5334	235	5	kac	kac	PROPN
ejpam-5334	236	1	and	and	CCONJ
ejpam-5334	236	2	p	p	PROPN
ejpam-5334	236	3	cheung	cheung	PROPN
ejpam-5334	236	4	.	.	PUNCT
ejpam-5334	236	5	quantum	quantum	PROPN
ejpam-5334	236	6	calculus	calculus	NOUN
ejpam-5334	236	7	.	.	PUNCT
ejpam-5334	237	1	in	in	ADP
ejpam-5334	237	2	universitext	universitext	PROPN
ejpam-5334	237	3	;	;	PUNCT
ejpam-5334	237	4	springer	springer	NOUN
ejpam-5334	237	5	,	,	PUNCT
ejpam-5334	237	6	new	new	PROPN
ejpam-5334	237	7	york	york	PROPN
ejpam-5334	237	8	,	,	PUNCT
ejpam-5334	237	9	ny	ny	PROPN
ejpam-5334	237	10	,	,	PUNCT
ejpam-5334	237	11	usa	usa	PROPN
ejpam-5334	237	12	,	,	PUNCT
ejpam-5334	237	13	2002	2002	NUM
ejpam-5334	237	14	.	.	PUNCT
ejpam-5334	238	1	[	[	X
ejpam-5334	238	2	10	10	NUM
ejpam-5334	238	3	]	]	SYM
ejpam-5334	238	4	s	s	PART
ejpam-5334	238	5	s	s	X
ejpam-5334	238	6	miller	miller	NOUN
ejpam-5334	238	7	and	and	CCONJ
ejpam-5334	238	8	p	p	PROPN
ejpam-5334	238	9	t	t	PROPN
ejpam-5334	238	10	mocanu	mocanu	PROPN
ejpam-5334	238	11	.	.	PUNCT
ejpam-5334	239	1	second	second	ADJ
ejpam-5334	239	2	order	order	NOUN
ejpam-5334	239	3	differential	differential	ADJ
ejpam-5334	239	4	inequalities	inequality	NOUN
ejpam-5334	239	5	in	in	ADP
ejpam-5334	239	6	the	the	DET
ejpam-5334	239	7	complex	complex	ADJ
ejpam-5334	239	8	plane	plane	NOUN
ejpam-5334	239	9	.	.	PUNCT
ejpam-5334	240	1	math	math	NOUN
ejpam-5334	240	2	.	.	PUNCT
ejpam-5334	241	1	anal	anal	PROPN
ejpam-5334	241	2	.	.	PUNCT
ejpam-5334	241	3	appl	appl	PROPN
ejpam-5334	241	4	.	.	PROPN
ejpam-5334	241	5	,	,	PUNCT
ejpam-5334	242	1	65:289–305	65:289–305	NUM
ejpam-5334	242	2	,	,	PUNCT
ejpam-5334	242	3	1978	1978	NUM
ejpam-5334	242	4	.	.	PUNCT
ejpam-5334	243	1	[	[	X
ejpam-5334	243	2	11	11	NUM
ejpam-5334	243	3	]	]	SYM
ejpam-5334	243	4	s	s	PART
ejpam-5334	243	5	s	s	X
ejpam-5334	243	6	miller	miller	NOUN
ejpam-5334	243	7	and	and	CCONJ
ejpam-5334	243	8	p	p	PROPN
ejpam-5334	243	9	t	t	PROPN
ejpam-5334	243	10	mocanu	mocanu	PROPN
ejpam-5334	243	11	.	.	PUNCT
ejpam-5334	244	1	differential	differential	ADJ
ejpam-5334	244	2	subordinations	subordination	NOUN
ejpam-5334	244	3	and	and	CCONJ
ejpam-5334	244	4	univalent	univalent	ADJ
ejpam-5334	244	5	functions	function	NOUN
ejpam-5334	244	6	.	.	PUNCT
ejpam-5334	245	1	mich	mich	PROPN
ejpam-5334	245	2	.	.	PUNCT
ejpam-5334	245	3	math	math	PROPN
ejpam-5334	245	4	.	.	PUNCT
ejpam-5334	246	1	j.	j.	PROPN
ejpam-5334	246	2	,	,	PUNCT
ejpam-5334	246	3	28:157–172	28:157–172	PROPN
ejpam-5334	246	4	,	,	PUNCT
ejpam-5334	246	5	1981	1981	NUM
ejpam-5334	246	6	.	.	PUNCT
ejpam-5334	247	1	[	[	X
ejpam-5334	247	2	12	12	NUM
ejpam-5334	247	3	]	]	X
ejpam-5334	247	4	s	s	PART
ejpam-5334	247	5	s	s	X
ejpam-5334	247	6	miller	miller	NOUN
ejpam-5334	247	7	and	and	CCONJ
ejpam-5334	247	8	p	p	PROPN
ejpam-5334	247	9	t	t	PROPN
ejpam-5334	247	10	mocanu	mocanu	PROPN
ejpam-5334	247	11	.	.	PUNCT
ejpam-5334	248	1	differential	differential	ADJ
ejpam-5334	248	2	subordinations	subordination	NOUN
ejpam-5334	248	3	.	.	PUNCT
ejpam-5334	249	1	theory	theory	NOUN
ejpam-5334	249	2	and	and	CCONJ
ejpam-5334	249	3	applications	application	NOUN
ejpam-5334	249	4	,	,	PUNCT
ejpam-5334	249	5	marcel	marcel	PROPN
ejpam-5334	249	6	dekker	dekker	PROPN
ejpam-5334	249	7	,	,	PUNCT
ejpam-5334	249	8	new	new	PROPN
ejpam-5334	249	9	york	york	PROPN
ejpam-5334	249	10	,	,	PUNCT
ejpam-5334	249	11	ny	ny	PROPN
ejpam-5334	249	12	,	,	PUNCT
ejpam-5334	249	13	usa	usa	PROPN
ejpam-5334	249	14	,	,	PUNCT
ejpam-5334	249	15	2000	2000	NUM
ejpam-5334	249	16	.	.	PUNCT
ejpam-5334	250	1	[	[	X
ejpam-5334	250	2	13	13	NUM
ejpam-5334	250	3	]	]	SYM
ejpam-5334	250	4	ch	ch	NOUN
ejpam-5334	250	5	pommerenke	pommerenke	NOUN
ejpam-5334	250	6	.	.	PUNCT
ejpam-5334	251	1	univalent	univalent	ADJ
ejpam-5334	251	2	functions	function	NOUN
ejpam-5334	251	3	.	.	PUNCT
ejpam-5334	252	1	vandenhoeck	vandenhoeck	NOUN
ejpam-5334	252	2	and	and	CCONJ
ejpam-5334	252	3	rupercht	rupercht	NOUN
ejpam-5334	252	4	,	,	PUNCT
ejpam-5334	252	5	gttingen	gttingen	NOUN
ejpam-5334	252	6	,	,	PUNCT
ejpam-5334	252	7	1975	1975	NUM
ejpam-5334	252	8	.	.	PUNCT
ejpam-5334	253	1	[	[	X
ejpam-5334	253	2	14	14	NUM
ejpam-5334	253	3	]	]	PUNCT
ejpam-5334	253	4	n	n	PRON
ejpam-5334	253	5	magesh	magesh	NOUN
ejpam-5334	253	6	s	s	PART
ejpam-5334	253	7	bulut	bulut	NOUN
ejpam-5334	253	8	and	and	CCONJ
ejpam-5334	253	9	c	c	PROPN
ejpam-5334	253	10	abirami	abirami	NOUN
ejpam-5334	253	11	.	.	PUNCT
ejpam-5334	254	1	a	a	DET
ejpam-5334	254	2	comprehensive	comprehensive	ADJ
ejpam-5334	254	3	class	class	NOUN
ejpam-5334	254	4	of	of	ADP
ejpam-5334	254	5	analytic	analytic	ADJ
ejpam-5334	254	6	bi	bi	ADJ
ejpam-5334	254	7	-	-	ADJ
ejpam-5334	254	8	univalent	univalent	ADJ
ejpam-5334	254	9	functions	function	NOUN
ejpam-5334	254	10	by	by	ADP
ejpam-5334	254	11	means	mean	NOUN
ejpam-5334	254	12	of	of	ADP
ejpam-5334	254	13	chebyshev	chebyshev	NOUN
ejpam-5334	254	14	polynomials	polynomial	NOUN
ejpam-5334	254	15	.	.	PUNCT
ejpam-5334	255	1	journal	journal	PROPN
ejpam-5334	255	2	of	of	ADP
ejpam-5334	255	3	fractional	fractional	ADJ
ejpam-5334	255	4	calculus	calculus	NOUN
ejpam-5334	255	5	and	and	CCONJ
ejpam-5334	255	6	applications	application	NOUN
ejpam-5334	255	7	,	,	PUNCT
ejpam-5334	255	8	8.2:32–39	8.2:32–39	NUM
ejpam-5334	255	9	,	,	PUNCT
ejpam-5334	255	10	2017	2017	NUM
ejpam-5334	255	11	.	.	PUNCT
ejpam-5334	256	1	[	[	X
ejpam-5334	256	2	15	15	NUM
ejpam-5334	256	3	]	]	X
ejpam-5334	256	4	h	h	PROPN
ejpam-5334	256	5	m	m	PROPN
ejpam-5334	256	6	srivastava	srivastava	PROPN
ejpam-5334	256	7	.	.	PUNCT
ejpam-5334	257	1	some	some	DET
ejpam-5334	257	2	formulas	formula	NOUN
ejpam-5334	257	3	for	for	ADP
ejpam-5334	257	4	the	the	DET
ejpam-5334	257	5	bernoulli	bernoulli	PROPN
ejpam-5334	257	6	and	and	CCONJ
ejpam-5334	257	7	euler	euler	NOUN
ejpam-5334	257	8	polynomials	polynomial	NOUN
ejpam-5334	257	9	at	at	ADP
ejpam-5334	257	10	rational	rational	ADJ
ejpam-5334	257	11	arguments	argument	NOUN
ejpam-5334	257	12	.	.	PUNCT
ejpam-5334	258	1	math	math	NOUN
ejpam-5334	258	2	.	.	PUNCT
ejpam-5334	259	1	proc	proc	PROPN
ejpam-5334	259	2	.	.	PUNCT
ejpam-5334	260	1	camb	camb	PROPN
ejpam-5334	260	2	.	.	PUNCT
ejpam-5334	261	1	philos	philos	PROPN
ejpam-5334	261	2	.	.	PUNCT
ejpam-5334	262	1	soc	soc	PROPN
ejpam-5334	262	2	.	.	PUNCT
ejpam-5334	262	3	,	,	PUNCT
ejpam-5334	262	4	129:77–84	129:77–84	NUM
ejpam-5334	262	5	,	,	PUNCT
ejpam-5334	262	6	2002	2002	NUM
ejpam-5334	262	7	.	.	PUNCT
ejpam-5334	263	1	[	[	X
ejpam-5334	263	2	16	16	NUM
ejpam-5334	263	3	]	]	X
ejpam-5334	263	4	h	h	PROPN
ejpam-5334	263	5	m	m	PROPN
ejpam-5334	263	6	srivastava	srivastava	PROPN
ejpam-5334	263	7	.	.	PUNCT
ejpam-5334	263	8	sevtap	sevtap	PROPN
ejpam-5334	263	9	sümer	sümer	PROPN
ejpam-5334	263	10	eker	eker	NOUN
ejpam-5334	263	11	,	,	PUNCT
ejpam-5334	263	12	some	some	DET
ejpam-5334	263	13	applications	application	NOUN
ejpam-5334	263	14	of	of	ADP
ejpam-5334	263	15	a	a	DET
ejpam-5334	263	16	subordination	subordination	NOUN
ejpam-5334	263	17	theorem	theorem	VERB
ejpam-5334	263	18	for	for	ADP
ejpam-5334	263	19	a	a	DET
ejpam-5334	263	20	class	class	NOUN
ejpam-5334	263	21	of	of	ADP
ejpam-5334	263	22	analytic	analytic	ADJ
ejpam-5334	263	23	functions	function	NOUN
ejpam-5334	263	24	.	.	PUNCT
ejpam-5334	264	1	japplied	japplie	VERB
ejpam-5334	264	2	mathematics	mathematic	NOUN
ejpam-5334	264	3	letters	letter	NOUN
ejpam-5334	264	4	,	,	PUNCT
ejpam-5334	264	5	21(4):394–399	21(4):394–399	PROPN
ejpam-5334	264	6	,	,	PUNCT
ejpam-5334	264	7	2008	2008	NUM
ejpam-5334	264	8	.	.	PUNCT
ejpam-5334	265	1	[	[	X
ejpam-5334	265	2	17	17	NUM
ejpam-5334	265	3	]	]	X
ejpam-5334	265	4	h	h	PROPN
ejpam-5334	265	5	m	m	PROPN
ejpam-5334	265	6	srivastava	srivastava	PROPN
ejpam-5334	265	7	.	.	PUNCT
ejpam-5334	266	1	some	some	DET
ejpam-5334	266	2	families	family	NOUN
ejpam-5334	266	3	of	of	ADP
ejpam-5334	266	4	mittag	mittag	ADJ
ejpam-5334	266	5	-	-	PUNCT
ejpam-5334	266	6	leffler	leffler	NOUN
ejpam-5334	266	7	type	type	NOUN
ejpam-5334	266	8	functions	function	NOUN
ejpam-5334	266	9	and	and	CCONJ
ejpam-5334	266	10	associated	associated	ADJ
ejpam-5334	266	11	operators	operator	NOUN
ejpam-5334	266	12	of	of	ADP
ejpam-5334	266	13	fractional	fractional	ADJ
ejpam-5334	266	14	calculus	calculus	NOUN
ejpam-5334	266	15	.	.	PUNCT
ejpam-5334	267	1	twmsj	twmsj	PROPN
ejpam-5334	267	2	.	.	PUNCT
ejpam-5334	268	1	pure	pure	ADJ
ejpam-5334	268	2	appl	appl	PROPN
ejpam-5334	268	3	.	.	PUNCT
ejpam-5334	268	4	math	math	PROPN
ejpam-5334	268	5	.	.	PUNCT
ejpam-5334	268	6	,	,	PUNCT
ejpam-5334	268	7	7:123–145	7:123–145	NUM
ejpam-5334	268	8	,	,	PUNCT
ejpam-5334	268	9	2016	2016	NUM
ejpam-5334	268	10	.	.	PUNCT
ejpam-5334	269	1	[	[	X
ejpam-5334	269	2	18	18	NUM
ejpam-5334	269	3	]	]	PUNCT
ejpam-5334	269	4	a	a	DET
ejpam-5334	269	5	alsoboh	alsoboh	NOUN
ejpam-5334	269	6	t	t	PROPN
ejpam-5334	269	7	al	al	PROPN
ejpam-5334	269	8	-	-	PUNCT
ejpam-5334	269	9	hawary	hawary	PROPN
ejpam-5334	269	10	,	,	PUNCT
ejpam-5334	269	11	a	a	DET
ejpam-5334	269	12	amourah	amourah	NOUN
ejpam-5334	269	13	and	and	CCONJ
ejpam-5334	269	14	o	o	PROPN
ejpam-5334	269	15	alsalhi	alsalhi	PROPN
ejpam-5334	269	16	.	.	PUNCT
ejpam-5334	270	1	a	a	DET
ejpam-5334	270	2	new	new	ADJ
ejpam-5334	270	3	comprehensive	comprehensive	ADJ
ejpam-5334	270	4	subclass	subclass	NOUN
ejpam-5334	270	5	of	of	ADP
ejpam-5334	270	6	analytic	analytic	ADJ
ejpam-5334	270	7	bi	bi	ADJ
ejpam-5334	270	8	-	-	ADJ
ejpam-5334	270	9	univalent	univalent	ADJ
ejpam-5334	270	10	functions	function	NOUN
ejpam-5334	270	11	related	relate	VERB
ejpam-5334	270	12	to	to	ADP
ejpam-5334	270	13	gegenbauer	gegenbauer	NOUN
ejpam-5334	270	14	polynomials	polynomial	NOUN
ejpam-5334	270	15	.	.	PUNCT
ejpam-5334	271	1	symmetry	symmetry	PROPN
ejpam-5334	271	2	,	,	PUNCT
ejpam-5334	271	3	3(15):1–11	3(15):1–11	NOUN
ejpam-5334	271	4	,	,	PUNCT
ejpam-5334	271	5	2023	2023	NUM
ejpam-5334	271	6	.	.	PUNCT
ejpam-5334	272	1	[	[	X
ejpam-5334	272	2	19	19	NUM
ejpam-5334	272	3	]	]	X
ejpam-5334	272	4	g	g	PROPN
ejpam-5334	272	5	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5334	272	6	z	z	PROPN
ejpam-5334	272	7	peng	peng	PROPN
ejpam-5334	272	8	and	and	CCONJ
ejpam-5334	272	9	t	t	PROPN
ejpam-5334	272	10	janani	janani	PROPN
ejpam-5334	272	11	.	.	PUNCT
ejpam-5334	273	1	coefficient	coefficient	NOUN
ejpam-5334	273	2	estimate	estimate	NOUN
ejpam-5334	273	3	of	of	ADP
ejpam-5334	273	4	bi	bi	ADJ
ejpam-5334	273	5	-	-	ADJ
ejpam-5334	273	6	univalent	univalent	ADJ
ejpam-5334	273	7	functions	function	NOUN
ejpam-5334	273	8	of	of	ADP
ejpam-5334	273	9	complex	complex	ADJ
ejpam-5334	273	10	order	order	NOUN
ejpam-5334	273	11	associated	associate	VERB
ejpam-5334	273	12	with	with	ADP
ejpam-5334	273	13	the	the	DET
ejpam-5334	273	14	hohlov	hohlov	NOUN
ejpam-5334	273	15	operator	operator	NOUN
ejpam-5334	273	16	.	.	PUNCT
ejpam-5334	274	1	j.	j.	PROPN
ejpam-5334	274	2	complex	complex	PROPN
ejpam-5334	274	3	analysis	analysis	NOUN
ejpam-5334	274	4	,	,	PUNCT
ejpam-5334	274	5	2014(id	2014(id	NUM
ejpam-5334	274	6	693908):1–6	693908):1–6	NUM
ejpam-5334	274	7	,	,	PUNCT
ejpam-5334	274	8	2014	2014	NUM
ejpam-5334	274	9	.	.	PUNCT