id	sid	tid	token	lemma	pos
ejpam-5678	1	1	european	european	PROPN
ejpam-5678	1	2	journal	journal	PROPN
ejpam-5678	1	3	of	of	ADP
ejpam-5678	1	4	pure	pure	ADJ
ejpam-5678	1	5	and	and	CCONJ
ejpam-5678	1	6	applied	applied	ADJ
ejpam-5678	1	7	mathematics	mathematic	NOUN
ejpam-5678	1	8	2025	2025	NUM
ejpam-5678	1	9	,	,	PUNCT
ejpam-5678	1	10	vol	vol	NOUN
ejpam-5678	1	11	.	.	PROPN
ejpam-5678	1	12	18	18	NUM
ejpam-5678	1	13	,	,	PUNCT
ejpam-5678	1	14	issue	issue	NOUN
ejpam-5678	1	15	1	1	NUM
ejpam-5678	1	16	,	,	PUNCT
ejpam-5678	1	17	article	article	NOUN
ejpam-5678	1	18	number	number	NOUN
ejpam-5678	1	19	5678	5678	NUM
ejpam-5678	1	20	issn	issn	PROPN
ejpam-5678	1	21	1307	1307	NUM
ejpam-5678	1	22	-	-	SYM
ejpam-5678	1	23	5543	5543	NUM
ejpam-5678	1	24	–	–	PUNCT
ejpam-5678	1	25	ejpam.com	ejpam.com	X
ejpam-5678	1	26	published	publish	VERB
ejpam-5678	1	27	by	by	ADP
ejpam-5678	1	28	new	new	PROPN
ejpam-5678	1	29	york	york	PROPN
ejpam-5678	1	30	business	business	NOUN
ejpam-5678	1	31	global	global	ADJ
ejpam-5678	1	32	subfamilies	subfamily	NOUN
ejpam-5678	1	33	of	of	ADP
ejpam-5678	1	34	bi	bi	ADJ
ejpam-5678	1	35	-	-	ADJ
ejpam-5678	1	36	univalent	univalent	ADJ
ejpam-5678	1	37	functions	function	NOUN
ejpam-5678	1	38	defined	define	VERB
ejpam-5678	1	39	by	by	ADP
ejpam-5678	1	40	imaginary	imaginary	ADJ
ejpam-5678	1	41	error	error	NOUN
ejpam-5678	1	42	functions	function	NOUN
ejpam-5678	1	43	subordinate	subordinate	VERB
ejpam-5678	1	44	to	to	PART
ejpam-5678	1	45	horadam	horadam	VERB
ejpam-5678	1	46	polynomials	polynomial	NOUN
ejpam-5678	1	47	tariq	tariq	PROPN
ejpam-5678	1	48	al	al	PROPN
ejpam-5678	1	49	-	-	PUNCT
ejpam-5678	1	50	hawary1,∗	hawary1,∗	PROPN
ejpam-5678	1	51	,	,	PUNCT
ejpam-5678	1	52	basem	basem	NOUN
ejpam-5678	1	53	aref	aref	PROPN
ejpam-5678	1	54	frasin2	frasin2	PROPN
ejpam-5678	1	55	,	,	PUNCT
ejpam-5678	1	56	ala	ala	PROPN
ejpam-5678	1	57	amourah3,4	amourah3,4	PROPN
ejpam-5678	1	58	,	,	PUNCT
ejpam-5678	1	59	jamal	jamal	PROPN
ejpam-5678	1	60	salah5,∗	salah5,∗	PROPN
ejpam-5678	1	61	1	1	NUM
ejpam-5678	1	62	department	department	NOUN
ejpam-5678	1	63	of	of	ADP
ejpam-5678	1	64	applied	apply	VERB
ejpam-5678	1	65	science	science	NOUN
ejpam-5678	1	66	,	,	PUNCT
ejpam-5678	1	67	ajloun	ajloun	PROPN
ejpam-5678	1	68	college	college	NOUN
ejpam-5678	1	69	,	,	PUNCT
ejpam-5678	1	70	al	al	PROPN
ejpam-5678	1	71	balqa	balqa	NOUN
ejpam-5678	1	72	applied	apply	VERB
ejpam-5678	1	73	university	university	NOUN
ejpam-5678	1	74	,	,	PUNCT
ejpam-5678	1	75	ajloun	ajloun	NOUN
ejpam-5678	1	76	26816	26816	NUM
ejpam-5678	1	77	.	.	PUNCT
ejpam-5678	2	1	jordan	jordan	PROPN
ejpam-5678	2	2	2	2	NUM
ejpam-5678	2	3	faculty	faculty	NOUN
ejpam-5678	2	4	of	of	ADP
ejpam-5678	2	5	science	science	NOUN
ejpam-5678	2	6	,	,	PUNCT
ejpam-5678	2	7	department	department	NOUN
ejpam-5678	2	8	of	of	ADP
ejpam-5678	2	9	mathematics	mathematics	PROPN
ejpam-5678	2	10	,	,	PUNCT
ejpam-5678	2	11	al	al	PROPN
ejpam-5678	2	12	al	al	PROPN
ejpam-5678	2	13	-	-	PUNCT
ejpam-5678	2	14	bayt	bayt	ADJ
ejpam-5678	2	15	university	university	NOUN
ejpam-5678	2	16	,	,	PUNCT
ejpam-5678	2	17	mafraq	mafraq	PROPN
ejpam-5678	2	18	,	,	PUNCT
ejpam-5678	2	19	jordan	jordan	PROPN
ejpam-5678	2	20	3	3	NUM
ejpam-5678	2	21	mathematics	mathematics	PROPN
ejpam-5678	2	22	education	education	NOUN
ejpam-5678	2	23	program	program	NOUN
ejpam-5678	2	24	,	,	PUNCT
ejpam-5678	2	25	faculty	faculty	NOUN
ejpam-5678	2	26	of	of	ADP
ejpam-5678	2	27	education	education	NOUN
ejpam-5678	2	28	and	and	CCONJ
ejpam-5678	2	29	arts	art	NOUN
ejpam-5678	2	30	,	,	PUNCT
ejpam-5678	2	31	sohar	sohar	PROPN
ejpam-5678	2	32	university	university	PROPN
ejpam-5678	2	33	,	,	PUNCT
ejpam-5678	2	34	sohar	sohar	PROPN
ejpam-5678	2	35	3111	3111	PROPN
ejpam-5678	2	36	,	,	PUNCT
ejpam-5678	2	37	oman	oman	NOUN
ejpam-5678	2	38	4	4	NUM
ejpam-5678	2	39	applied	apply	VERB
ejpam-5678	2	40	science	science	NOUN
ejpam-5678	2	41	research	research	NOUN
ejpam-5678	2	42	center	center	NOUN
ejpam-5678	2	43	.	.	PUNCT
ejpam-5678	3	1	applied	apply	VERB
ejpam-5678	3	2	science	science	PROPN
ejpam-5678	3	3	private	private	ADJ
ejpam-5678	3	4	university	university	NOUN
ejpam-5678	3	5	,	,	PUNCT
ejpam-5678	3	6	amman	amman	PROPN
ejpam-5678	3	7	,	,	PUNCT
ejpam-5678	3	8	jordan	jordan	PROPN
ejpam-5678	3	9	5	5	NUM
ejpam-5678	3	10	college	college	NOUN
ejpam-5678	3	11	of	of	ADP
ejpam-5678	3	12	applied	apply	VERB
ejpam-5678	3	13	and	and	CCONJ
ejpam-5678	3	14	health	health	NOUN
ejpam-5678	3	15	sciences	science	NOUN
ejpam-5678	3	16	,	,	PUNCT
ejpam-5678	3	17	a’sharqiyah	a’sharqiyah	PROPN
ejpam-5678	3	18	university	university	NOUN
ejpam-5678	3	19	,	,	PUNCT
ejpam-5678	3	20	post	post	PROPN
ejpam-5678	3	21	box	box	PROPN
ejpam-5678	3	22	no	no	INTJ
ejpam-5678	3	23	.	.	PROPN
ejpam-5678	3	24	42	42	NUM
ejpam-5678	3	25	,	,	PUNCT
ejpam-5678	3	26	post	post	VERB
ejpam-5678	3	27	code	code	NOUN
ejpam-5678	3	28	no	no	INTJ
ejpam-5678	3	29	.	.	NOUN
ejpam-5678	3	30	400	400	NUM
ejpam-5678	3	31	ibra	ibra	NOUN
ejpam-5678	3	32	,	,	PUNCT
ejpam-5678	3	33	sultanate	sultanate	NOUN
ejpam-5678	3	34	of	of	ADP
ejpam-5678	3	35	oman	oman	PROPN
ejpam-5678	3	36	abstract	abstract	NOUN
ejpam-5678	3	37	.	.	PUNCT
ejpam-5678	4	1	several	several	ADJ
ejpam-5678	4	2	different	different	ADJ
ejpam-5678	4	3	subfamilies	subfamily	NOUN
ejpam-5678	4	4	of	of	ADP
ejpam-5678	4	5	the	the	DET
ejpam-5678	4	6	bi	bi	ADJ
ejpam-5678	4	7	-	-	ADJ
ejpam-5678	4	8	univalent	univalent	ADJ
ejpam-5678	4	9	function	function	NOUN
ejpam-5678	4	10	family	family	NOUN
ejpam-5678	4	11	ω	ω	PROPN
ejpam-5678	4	12	were	be	AUX
ejpam-5678	4	13	introduced	introduce	VERB
ejpam-5678	4	14	and	and	CCONJ
ejpam-5678	4	15	studied	study	VERB
ejpam-5678	4	16	by	by	ADP
ejpam-5678	4	17	numerous	numerous	ADJ
ejpam-5678	4	18	researchers	researcher	NOUN
ejpam-5678	4	19	using	use	VERB
ejpam-5678	4	20	special	special	ADJ
ejpam-5678	4	21	functions	function	NOUN
ejpam-5678	4	22	.	.	PUNCT
ejpam-5678	5	1	in	in	ADP
ejpam-5678	5	2	the	the	DET
ejpam-5678	5	3	present	present	ADJ
ejpam-5678	5	4	paper	paper	NOUN
ejpam-5678	5	5	,	,	PUNCT
ejpam-5678	5	6	utilizing	utilize	VERB
ejpam-5678	5	7	the	the	DET
ejpam-5678	5	8	imaginary	imaginary	ADJ
ejpam-5678	5	9	error	error	NOUN
ejpam-5678	5	10	function	function	NOUN
ejpam-5678	5	11	,	,	PUNCT
ejpam-5678	5	12	we	we	PRON
ejpam-5678	5	13	introduce	introduce	VERB
ejpam-5678	5	14	and	and	CCONJ
ejpam-5678	5	15	study	study	VERB
ejpam-5678	5	16	a	a	DET
ejpam-5678	5	17	new	new	ADJ
ejpam-5678	5	18	subfamily	subfamily	ADV
ejpam-5678	5	19	fω(s	fω(s	NOUN
ejpam-5678	5	20	,	,	PUNCT
ejpam-5678	5	21	r	r	NOUN
ejpam-5678	5	22	,	,	PUNCT
ejpam-5678	5	23	u	u	NOUN
ejpam-5678	5	24	,	,	PUNCT
ejpam-5678	5	25	y	y	PROPN
ejpam-5678	5	26	,	,	PUNCT
ejpam-5678	5	27	t	t	PROPN
ejpam-5678	5	28	,	,	PUNCT
ejpam-5678	5	29	λ	λ	PROPN
ejpam-5678	5	30	,	,	PUNCT
ejpam-5678	5	31	τ	τ	X
ejpam-5678	5	32	)	)	PUNCT
ejpam-5678	5	33	of	of	ADP
ejpam-5678	5	34	bi	bi	ADJ
ejpam-5678	5	35	-	-	ADJ
ejpam-5678	5	36	univalent	univalent	ADJ
ejpam-5678	5	37	functions	function	NOUN
ejpam-5678	5	38	in	in	ADP
ejpam-5678	5	39	the	the	DET
ejpam-5678	5	40	open	open	ADJ
ejpam-5678	5	41	unit	unit	NOUN
ejpam-5678	5	42	disk	disk	NOUN
ejpam-5678	5	43	θ	θ	PROPN
ejpam-5678	5	44	,	,	PUNCT
ejpam-5678	5	45	which	which	PRON
ejpam-5678	5	46	are	be	AUX
ejpam-5678	5	47	connected	connect	VERB
ejpam-5678	5	48	to	to	ADP
ejpam-5678	5	49	the	the	DET
ejpam-5678	5	50	horadam	horadam	PROPN
ejpam-5678	5	51	polynomials	polynomial	NOUN
ejpam-5678	5	52	,	,	PUNCT
ejpam-5678	5	53	and	and	CCONJ
ejpam-5678	5	54	determine	determine	VERB
ejpam-5678	5	55	initial	initial	ADJ
ejpam-5678	5	56	coefficients	coefficient	NOUN
ejpam-5678	5	57	in	in	ADP
ejpam-5678	5	58	the	the	DET
ejpam-5678	5	59	maclaurin	maclaurin	NOUN
ejpam-5678	5	60	series	series	NOUN
ejpam-5678	5	61	of	of	ADP
ejpam-5678	5	62	functions	function	NOUN
ejpam-5678	5	63	in	in	ADP
ejpam-5678	5	64	this	this	DET
ejpam-5678	5	65	subfamily	subfamily	NOUN
ejpam-5678	5	66	.	.	PUNCT
ejpam-5678	6	1	moreover	moreover	ADV
ejpam-5678	6	2	,	,	PUNCT
ejpam-5678	6	3	we	we	PRON
ejpam-5678	6	4	determine	determine	VERB
ejpam-5678	6	5	the	the	DET
ejpam-5678	6	6	fekete	fekete	PROPN
ejpam-5678	6	7	-	-	PUNCT
ejpam-5678	6	8	szegö	szegö	ADJ
ejpam-5678	6	9	inequality	inequality	NOUN
ejpam-5678	6	10	for	for	ADP
ejpam-5678	6	11	functions	function	NOUN
ejpam-5678	6	12	in	in	ADP
ejpam-5678	6	13	this	this	DET
ejpam-5678	6	14	subfamily	subfamily	NOUN
ejpam-5678	6	15	.	.	PUNCT
ejpam-5678	7	1	the	the	DET
ejpam-5678	7	2	parameters	parameter	NOUN
ejpam-5678	7	3	employed	employ	VERB
ejpam-5678	7	4	in	in	ADP
ejpam-5678	7	5	our	our	PRON
ejpam-5678	7	6	major	major	ADJ
ejpam-5678	7	7	results	result	NOUN
ejpam-5678	7	8	are	be	AUX
ejpam-5678	7	9	specialized	specialize	VERB
ejpam-5678	7	10	,	,	PUNCT
ejpam-5678	7	11	and	and	CCONJ
ejpam-5678	7	12	several	several	ADJ
ejpam-5678	7	13	fresh	fresh	ADJ
ejpam-5678	7	14	outcomes	outcome	NOUN
ejpam-5678	7	15	are	be	AUX
ejpam-5678	7	16	shown	show	VERB
ejpam-5678	7	17	to	to	PART
ejpam-5678	7	18	follow	follow	VERB
ejpam-5678	7	19	.	.	PUNCT
ejpam-5678	8	1	2020	2020	NUM
ejpam-5678	8	2	mathematics	mathematic	NOUN
ejpam-5678	8	3	subject	subject	NOUN
ejpam-5678	8	4	classifications	classification	NOUN
ejpam-5678	8	5	:	:	PUNCT
ejpam-5678	8	6	30c45	30c45	NUM
ejpam-5678	8	7	key	key	ADJ
ejpam-5678	8	8	words	word	NOUN
ejpam-5678	8	9	and	and	CCONJ
ejpam-5678	8	10	phrases	phrase	NOUN
ejpam-5678	8	11	:	:	PUNCT
ejpam-5678	8	12	analytic	analytic	ADJ
ejpam-5678	8	13	,	,	PUNCT
ejpam-5678	8	14	bi	bi	ADJ
ejpam-5678	8	15	-	-	ADJ
ejpam-5678	8	16	univalent	univalent	ADJ
ejpam-5678	8	17	,	,	PUNCT
ejpam-5678	8	18	fekete	fekete	NOUN
ejpam-5678	8	19	-	-	PUNCT
ejpam-5678	8	20	szegö	szegö	VERB
ejpam-5678	8	21	,	,	PUNCT
ejpam-5678	8	22	horadam	horadam	NOUN
ejpam-5678	8	23	,	,	PUNCT
ejpam-5678	8	24	imaginary	imaginary	ADJ
ejpam-5678	8	25	error	error	NOUN
ejpam-5678	8	26	function	function	NOUN
ejpam-5678	8	27	1	1	NUM
ejpam-5678	8	28	.	.	PUNCT
ejpam-5678	8	29	introduction	introduction	NOUN
ejpam-5678	8	30	and	and	CCONJ
ejpam-5678	8	31	preliminaries	preliminary	NOUN
ejpam-5678	8	32	ordinary	ordinary	ADJ
ejpam-5678	8	33	differential	differential	ADJ
ejpam-5678	8	34	equations	equation	NOUN
ejpam-5678	8	35	that	that	PRON
ejpam-5678	8	36	meet	meet	VERB
ejpam-5678	8	37	model	model	NOUN
ejpam-5678	8	38	constraints	constraint	NOUN
ejpam-5678	8	39	are	be	AUX
ejpam-5678	8	40	frequently	frequently	ADV
ejpam-5678	8	41	solved	solve	VERB
ejpam-5678	8	42	using	use	VERB
ejpam-5678	8	43	orthogonal	orthogonal	ADJ
ejpam-5678	8	44	polynomials	polynomial	NOUN
ejpam-5678	8	45	[	[	X
ejpam-5678	8	46	19	19	NUM
ejpam-5678	8	47	]	]	PUNCT
ejpam-5678	8	48	in	in	ADP
ejpam-5678	8	49	mathematical	mathematical	ADJ
ejpam-5678	8	50	model	model	NOUN
ejpam-5678	8	51	solving	solving	NOUN
ejpam-5678	8	52	.	.	PUNCT
ejpam-5678	9	1	orthogonal	orthogonal	ADJ
ejpam-5678	9	2	polynomials	polynomial	NOUN
ejpam-5678	9	3	are	be	AUX
ejpam-5678	9	4	useful	useful	ADJ
ejpam-5678	9	5	in	in	ADP
ejpam-5678	9	6	physics	physics	NOUN
ejpam-5678	9	7	and	and	CCONJ
ejpam-5678	9	8	engineering	engineering	NOUN
ejpam-5678	9	9	and	and	CCONJ
ejpam-5678	9	10	are	be	AUX
ejpam-5678	9	11	significant	significant	ADJ
ejpam-5678	9	12	in	in	ADP
ejpam-5678	9	13	modern	modern	ADJ
ejpam-5678	9	14	mathematics	mathematic	NOUN
ejpam-5678	9	15	.	.	PUNCT
ejpam-5678	10	1	the	the	DET
ejpam-5678	10	2	importance	importance	NOUN
ejpam-5678	10	3	of	of	ADP
ejpam-5678	10	4	these	these	DET
ejpam-5678	10	5	polynomials	polynomial	NOUN
ejpam-5678	10	6	in	in	ADP
ejpam-5678	10	7	issues	issue	NOUN
ejpam-5678	10	8	pertaining	pertain	VERB
ejpam-5678	10	9	to	to	ADP
ejpam-5678	10	10	approximation	approximation	NOUN
ejpam-5678	10	11	theory	theory	NOUN
ejpam-5678	10	12	is	be	AUX
ejpam-5678	10	13	well	well	ADV
ejpam-5678	10	14	known	know	VERB
ejpam-5678	10	15	.	.	PUNCT
ejpam-5678	11	1	they	they	PRON
ejpam-5678	11	2	are	be	AUX
ejpam-5678	11	3	present	present	ADJ
ejpam-5678	11	4	in	in	ADP
ejpam-5678	11	5	quantum	quantum	ADJ
ejpam-5678	11	6	physics	physics	NOUN
ejpam-5678	11	7	,	,	PUNCT
ejpam-5678	11	8	approximation	approximation	NOUN
ejpam-5678	11	9	theory	theory	NOUN
ejpam-5678	11	10	,	,	PUNCT
ejpam-5678	11	11	probability	probability	NOUN
ejpam-5678	11	12	theory	theory	NOUN
ejpam-5678	11	13	,	,	PUNCT
ejpam-5678	11	14	interpolation	interpolation	NOUN
ejpam-5678	11	15	,	,	PUNCT
ejpam-5678	11	16	differential	differential	ADJ
ejpam-5678	11	17	equation	equation	NOUN
ejpam-5678	11	18	theory	theory	NOUN
ejpam-5678	11	19	,	,	PUNCT
ejpam-5678	11	20	and	and	CCONJ
ejpam-5678	11	21	mathematical	mathematical	ADJ
ejpam-5678	11	22	statistics	statistic	NOUN
ejpam-5678	11	23	.	.	PUNCT
ejpam-5678	12	1	they	they	PRON
ejpam-5678	12	2	also	also	ADV
ejpam-5678	12	3	model	model	VERB
ejpam-5678	12	4	and	and	CCONJ
ejpam-5678	12	5	∗corresponding	∗corresponde	VERB
ejpam-5678	12	6	author	author	NOUN
ejpam-5678	12	7	.	.	PUNCT
ejpam-5678	13	1	∗corresponding	∗corresponde	VERB
ejpam-5678	13	2	author	author	NOUN
ejpam-5678	13	3	.	.	PUNCT
ejpam-5678	14	1	doi	doi	NOUN
ejpam-5678	14	2	:	:	PUNCT
ejpam-5678	14	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5678	https://doi.org/10.29020/nybg.ejpam.v18i1.5678	PROPN
ejpam-5678	14	4	email	email	NOUN
ejpam-5678	14	5	addresses	address	NOUN
ejpam-5678	14	6	:	:	PUNCT
ejpam-5678	14	7	tariq	tariq	PROPN
ejpam-5678	14	8	amh@bau.edu.jo	amh@bau.edu.jo	PROPN
ejpam-5678	14	9	(	(	PUNCT
ejpam-5678	14	10	t.	t.	PROPN
ejpam-5678	14	11	al	al	PROPN
ejpam-5678	14	12	-	-	PUNCT
ejpam-5678	14	13	hawary	hawary	PROPN
ejpam-5678	14	14	)	)	PUNCT
ejpam-5678	14	15	,	,	PUNCT
ejpam-5678	14	16	bafrasin@yahoo.com	bafrasin@yahoo.com	X
ejpam-5678	15	1	(	(	PUNCT
ejpam-5678	15	2	b.	b.	PROPN
ejpam-5678	15	3	a.	a.	PROPN
ejpam-5678	15	4	frasin	frasin	PROPN
ejpam-5678	15	5	)	)	PUNCT
ejpam-5678	15	6	,	,	PUNCT
ejpam-5678	16	1	aamourah@su.edu.om	aamourah@su.edu.om	NOUN
ejpam-5678	16	2	(	(	PUNCT
ejpam-5678	16	3	a.	a.	NOUN
ejpam-5678	16	4	amourah	amourah	PROPN
ejpam-5678	16	5	)	)	PUNCT
ejpam-5678	16	6	,	,	PUNCT
ejpam-5678	16	7	damous73@yahoo.com	damous73@yahoo.com	X
ejpam-5678	16	8	(	(	PUNCT
ejpam-5678	16	9	j.	j.	PROPN
ejpam-5678	16	10	salah	salah	PROPN
ejpam-5678	16	11	)	)	PUNCT
ejpam-5678	16	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5678	16	13	1	1	NUM
ejpam-5678	16	14	copyright	copyright	NOUN
ejpam-5678	16	15	:	:	PUNCT
ejpam-5678	17	1	©	©	PROPN
ejpam-5678	17	2	2025	2025	NUM
ejpam-5678	17	3	the	the	DET
ejpam-5678	17	4	author(s	author(s	NOUN
ejpam-5678	17	5	)	)	PUNCT
ejpam-5678	17	6	.	.	PUNCT
ejpam-5678	18	1	(	(	PUNCT
ejpam-5678	18	2	cc	cc	NOUN
ejpam-5678	18	3	by	by	ADP
ejpam-5678	18	4	-	-	PUNCT
ejpam-5678	18	5	nc	nc	PROPN
ejpam-5678	18	6	4.0	4.0	NUM
ejpam-5678	18	7	)	)	PUNCT
ejpam-5678	18	8	t.	t.	PROPN
ejpam-5678	18	9	al	al	PROPN
ejpam-5678	18	10	-	-	PUNCT
ejpam-5678	18	11	hawary	hawary	PROPN
ejpam-5678	18	12	et	et	PROPN
ejpam-5678	18	13	al	al	PROPN
ejpam-5678	18	14	.	.	PUNCT
ejpam-5678	18	15	/	/	SYM
ejpam-5678	18	16	eur	eur	PROPN
ejpam-5678	18	17	.	.	PUNCT
ejpam-5678	19	1	j.	j.	PROPN
ejpam-5678	19	2	pure	pure	PROPN
ejpam-5678	19	3	appl	appl	PROPN
ejpam-5678	19	4	.	.	PROPN
ejpam-5678	19	5	math	math	PROPN
ejpam-5678	19	6	,	,	PUNCT
ejpam-5678	19	7	18	18	NUM
ejpam-5678	19	8	(	(	PUNCT
ejpam-5678	19	9	1	1	NUM
ejpam-5678	19	10	)	)	PUNCT
ejpam-5678	19	11	(	(	PUNCT
ejpam-5678	19	12	2025	2025	NUM
ejpam-5678	19	13	)	)	PUNCT
ejpam-5678	19	14	,	,	PUNCT
ejpam-5678	19	15	5678	5678	NUM
ejpam-5678	19	16	2	2	NUM
ejpam-5678	19	17	of	of	ADP
ejpam-5678	19	18	12	12	NUM
ejpam-5678	19	19	analyze	analyze	NOUN
ejpam-5678	19	20	complicated	complicate	VERB
ejpam-5678	19	21	systems	system	NOUN
ejpam-5678	19	22	and	and	CCONJ
ejpam-5678	19	23	data	datum	NOUN
ejpam-5678	19	24	sets	set	NOUN
ejpam-5678	19	25	in	in	ADP
ejpam-5678	19	26	the	the	DET
ejpam-5678	19	27	fields	field	NOUN
ejpam-5678	19	28	of	of	ADP
ejpam-5678	19	29	signal	signal	NOUN
ejpam-5678	19	30	processing	processing	NOUN
ejpam-5678	19	31	,	,	PUNCT
ejpam-5678	19	32	image	image	NOUN
ejpam-5678	19	33	processing	processing	NOUN
ejpam-5678	19	34	,	,	PUNCT
ejpam-5678	19	35	and	and	CCONJ
ejpam-5678	19	36	data	datum	NOUN
ejpam-5678	19	37	analysis	analysis	NOUN
ejpam-5678	19	38	(	(	PUNCT
ejpam-5678	19	39	see	see	VERB
ejpam-5678	19	40	[	[	X
ejpam-5678	19	41	5	5	NUM
ejpam-5678	19	42	,	,	PUNCT
ejpam-5678	19	43	11	11	NUM
ejpam-5678	19	44	]	]	NUM
ejpam-5678	19	45	)	)	PUNCT
ejpam-5678	19	46	.	.	PUNCT
ejpam-5678	20	1	the	the	DET
ejpam-5678	20	2	pair	pair	NOUN
ejpam-5678	20	3	of	of	ADP
ejpam-5678	20	4	polynomials	polynomial	NOUN
ejpam-5678	20	5	jϵ	jϵ	PROPN
ejpam-5678	20	6	and	and	CCONJ
ejpam-5678	20	7	jε	jε	NOUN
ejpam-5678	20	8	,	,	PUNCT
ejpam-5678	20	9	of	of	ADP
ejpam-5678	20	10	order	order	NOUN
ejpam-5678	20	11	ϵ	ϵ	X
ejpam-5678	20	12	and	and	CCONJ
ejpam-5678	20	13	ε	ε	PROPN
ejpam-5678	20	14	,	,	PUNCT
ejpam-5678	20	15	respectively	respectively	ADV
ejpam-5678	20	16	,	,	PUNCT
ejpam-5678	20	17	are	be	AUX
ejpam-5678	20	18	orthogonal	orthogonal	ADJ
ejpam-5678	20	19	if	if	SCONJ
ejpam-5678	20	20	⟨jϵ	⟨jϵ	PROPN
ejpam-5678	20	21	,	,	PUNCT
ejpam-5678	20	22	jε⟩	jε⟩	NUM
ejpam-5678	20	23	=	=	SYM
ejpam-5678	20	24	∫	∫	PROPN
ejpam-5678	20	25	σ2	σ2	PROPN
ejpam-5678	20	26	σ1	σ1	PROPN
ejpam-5678	20	27	jϵ(y)jε(y)r(y)dy	jϵ(y)jε(y)r(y)dy	NOUN
ejpam-5678	21	1	=	=	SYM
ejpam-5678	21	2	0	0	NUM
ejpam-5678	21	3	,	,	PUNCT
ejpam-5678	21	4	for	for	ADP
ejpam-5678	21	5	ϵ	ϵ	PROPN
ejpam-5678	21	6	̸=	̸=	PROPN
ejpam-5678	21	7	ε	ε	PROPN
ejpam-5678	21	8	,	,	PUNCT
ejpam-5678	21	9	(	(	PUNCT
ejpam-5678	21	10	1	1	X
ejpam-5678	21	11	)	)	PUNCT
ejpam-5678	21	12	the	the	DET
ejpam-5678	21	13	integral	integral	ADJ
ejpam-5678	21	14	of	of	ADP
ejpam-5678	21	15	all	all	DET
ejpam-5678	21	16	finite	finite	ADJ
ejpam-5678	21	17	order	order	NOUN
ejpam-5678	21	18	polynomials	polynomial	NOUN
ejpam-5678	21	19	jϵ(y	jϵ(y	NUM
ejpam-5678	21	20	)	)	PUNCT
ejpam-5678	21	21	is	be	AUX
ejpam-5678	21	22	properly	properly	ADV
ejpam-5678	21	23	defined	define	VERB
ejpam-5678	21	24	since	since	SCONJ
ejpam-5678	21	25	r(y	r(y	VERB
ejpam-5678	21	26	)	)	PUNCT
ejpam-5678	21	27	is	be	AUX
ejpam-5678	21	28	a	a	DET
ejpam-5678	21	29	non	non	ADJ
ejpam-5678	21	30	-	-	ADJ
ejpam-5678	21	31	negative	negative	ADJ
ejpam-5678	21	32	function	function	NOUN
ejpam-5678	21	33	in	in	ADP
ejpam-5678	21	34	the	the	DET
ejpam-5678	21	35	interval	interval	NOUN
ejpam-5678	21	36	(	(	PUNCT
ejpam-5678	21	37	σ1	σ1	PROPN
ejpam-5678	21	38	,	,	PUNCT
ejpam-5678	21	39	σ2	σ2	NOUN
ejpam-5678	21	40	)	)	PUNCT
ejpam-5678	21	41	.	.	PUNCT
ejpam-5678	22	1	several	several	ADJ
ejpam-5678	22	2	families	family	NOUN
ejpam-5678	22	3	of	of	ADP
ejpam-5678	22	4	orthogonal	orthogonal	ADJ
ejpam-5678	22	5	polynomials	polynomial	NOUN
ejpam-5678	22	6	are	be	AUX
ejpam-5678	22	7	well	well	ADV
ejpam-5678	22	8	-	-	PUNCT
ejpam-5678	22	9	known	know	VERB
ejpam-5678	22	10	,	,	PUNCT
ejpam-5678	22	11	such	such	ADJ
ejpam-5678	22	12	as	as	ADP
ejpam-5678	22	13	the	the	DET
ejpam-5678	22	14	jacobi	jacobi	PROPN
ejpam-5678	22	15	,	,	PUNCT
ejpam-5678	22	16	laguerre	laguerre	PROPN
ejpam-5678	22	17	,	,	PUNCT
ejpam-5678	22	18	legendre	legendre	PROPN
ejpam-5678	22	19	,	,	PUNCT
ejpam-5678	22	20	hermite	hermite	ADJ
ejpam-5678	22	21	,	,	PUNCT
ejpam-5678	22	22	and	and	CCONJ
ejpam-5678	22	23	chebyshev	chebyshev	PROPN
ejpam-5678	22	24	families	family	NOUN
ejpam-5678	22	25	.	.	PUNCT
ejpam-5678	23	1	orthogonal	orthogonal	ADJ
ejpam-5678	23	2	polynomials	polynomial	NOUN
ejpam-5678	23	3	have	have	VERB
ejpam-5678	23	4	many	many	ADJ
ejpam-5678	23	5	practical	practical	ADJ
ejpam-5678	23	6	qualities	quality	NOUN
ejpam-5678	23	7	and	and	CCONJ
ejpam-5678	23	8	applications	application	NOUN
ejpam-5678	23	9	,	,	PUNCT
ejpam-5678	23	10	and	and	CCONJ
ejpam-5678	23	11	each	each	DET
ejpam-5678	23	12	family	family	NOUN
ejpam-5678	23	13	has	have	VERB
ejpam-5678	23	14	its	its	PRON
ejpam-5678	23	15	own	own	ADJ
ejpam-5678	23	16	weight	weight	NOUN
ejpam-5678	23	17	function	function	NOUN
ejpam-5678	23	18	and	and	CCONJ
ejpam-5678	23	19	interval	interval	NOUN
ejpam-5678	23	20	.	.	PUNCT
ejpam-5678	24	1	the	the	DET
ejpam-5678	24	2	recurrence	recurrence	NOUN
ejpam-5678	24	3	relations	relation	NOUN
ejpam-5678	24	4	define	define	VERB
ejpam-5678	24	5	the	the	DET
ejpam-5678	24	6	horadam	horadam	PROPN
ejpam-5678	24	7	polynomials	polynomial	NOUN
ejpam-5678	24	8	as	as	ADP
ejpam-5678	24	9	the	the	DET
ejpam-5678	24	10	family	family	NOUN
ejpam-5678	24	11	of	of	ADP
ejpam-5678	24	12	polynomials	polynomial	NOUN
ejpam-5678	24	13	that	that	PRON
ejpam-5678	24	14	is	be	AUX
ejpam-5678	24	15	a	a	DET
ejpam-5678	24	16	generalization	generalization	NOUN
ejpam-5678	24	17	of	of	ADP
ejpam-5678	24	18	the	the	DET
ejpam-5678	24	19	fibonacci	fibonacci	PROPN
ejpam-5678	24	20	and	and	CCONJ
ejpam-5678	24	21	lucas	lucas	PROPN
ejpam-5678	24	22	polynomials	polynomial	NOUN
ejpam-5678	24	23	.	.	PUNCT
ejpam-5678	25	1	murray	murray	PROPN
ejpam-5678	25	2	s.	s.	PROPN
ejpam-5678	25	3	klamkin	klamkin	VERB
ejpam-5678	25	4	horadam	horadam	PROPN
ejpam-5678	25	5	,	,	PUNCT
ejpam-5678	25	6	an	an	DET
ejpam-5678	25	7	australian	australian	ADJ
ejpam-5678	25	8	mathematician	mathematician	NOUN
ejpam-5678	25	9	,	,	PUNCT
ejpam-5678	25	10	is	be	AUX
ejpam-5678	25	11	credited	credit	VERB
ejpam-5678	25	12	with	with	ADP
ejpam-5678	25	13	their	their	PRON
ejpam-5678	25	14	introduction	introduction	NOUN
ejpam-5678	25	15	in	in	ADP
ejpam-5678	25	16	1978	1978	NUM
ejpam-5678	25	17	,	,	PUNCT
ejpam-5678	25	18	hence	hence	ADV
ejpam-5678	25	19	its	its	PRON
ejpam-5678	25	20	name	name	NOUN
ejpam-5678	25	21	.	.	PUNCT
ejpam-5678	26	1	numerous	numerous	ADJ
ejpam-5678	26	2	intriguing	intriguing	ADJ
ejpam-5678	26	3	characteristics	characteristic	NOUN
ejpam-5678	26	4	of	of	ADP
ejpam-5678	26	5	horadam	horadam	NOUN
ejpam-5678	26	6	polynomials	polynomial	NOUN
ejpam-5678	26	7	and	and	CCONJ
ejpam-5678	26	8	their	their	PRON
ejpam-5678	26	9	relationships	relationship	NOUN
ejpam-5678	26	10	to	to	ADP
ejpam-5678	26	11	other	other	ADJ
ejpam-5678	26	12	branches	branch	NOUN
ejpam-5678	26	13	of	of	ADP
ejpam-5678	26	14	mathematics	mathematic	NOUN
ejpam-5678	26	15	,	,	PUNCT
ejpam-5678	26	16	such	such	ADJ
ejpam-5678	26	17	as	as	ADP
ejpam-5678	26	18	algebraic	algebraic	ADJ
ejpam-5678	26	19	geometry	geometry	NOUN
ejpam-5678	26	20	,	,	PUNCT
ejpam-5678	26	21	combinatorics	combinatoric	NOUN
ejpam-5678	26	22	,	,	PUNCT
ejpam-5678	26	23	and	and	CCONJ
ejpam-5678	26	24	number	number	NOUN
ejpam-5678	26	25	theory	theory	NOUN
ejpam-5678	26	26	.	.	PUNCT
ejpam-5678	27	1	horzum	horzum	NOUN
ejpam-5678	27	2	and	and	CCONJ
ejpam-5678	27	3	kocer	kocer	NOUN
ejpam-5678	27	4	(	(	PUNCT
ejpam-5678	27	5	2009	2009	NUM
ejpam-5678	27	6	)	)	PUNCT
ejpam-5678	27	7	examined	examine	VERB
ejpam-5678	27	8	the	the	DET
ejpam-5678	27	9	horadam	horadam	PROPN
ejpam-5678	27	10	polynomials	polynomial	NOUN
ejpam-5678	27	11	hα(y	hα(y	NOUN
ejpam-5678	27	12	)	)	PUNCT
ejpam-5678	27	13	,	,	PUNCT
ejpam-5678	27	14	which	which	PRON
ejpam-5678	27	15	are	be	AUX
ejpam-5678	27	16	ascertained	ascertain	VERB
ejpam-5678	27	17	by	by	ADP
ejpam-5678	27	18	the	the	DET
ejpam-5678	27	19	following	follow	VERB
ejpam-5678	27	20	recurrence	recurrence	NOUN
ejpam-5678	27	21	relation	relation	NOUN
ejpam-5678	27	22	[	[	X
ejpam-5678	27	23	21	21	NUM
ejpam-5678	27	24	]	]	PUNCT
ejpam-5678	27	25	.	.	PUNCT
ejpam-5678	28	1	hα(y	hα(y	NOUN
ejpam-5678	28	2	)	)	PUNCT
ejpam-5678	29	1	=	=	SYM
ejpam-5678	29	2	ryhα−1(y	ryhα−1(y	X
ejpam-5678	29	3	)	)	PUNCT
ejpam-5678	30	1	+	+	CCONJ
ejpam-5678	30	2	uhα−2(y	uhα−2(y	PROPN
ejpam-5678	30	3	)	)	PUNCT
ejpam-5678	30	4	,	,	PUNCT
ejpam-5678	30	5	α	α	PROPN
ejpam-5678	30	6	∈	∈	PROPN
ejpam-5678	30	7	{	{	PUNCT
ejpam-5678	30	8	3	3	NUM
ejpam-5678	30	9	,	,	PUNCT
ejpam-5678	30	10	4	4	NUM
ejpam-5678	30	11	,	,	PUNCT
ejpam-5678	30	12	·	·	PUNCT
ejpam-5678	30	13	·	·	PUNCT
ejpam-5678	30	14	·	·	PUNCT
ejpam-5678	30	15	}	}	PUNCT
ejpam-5678	30	16	,	,	PUNCT
ejpam-5678	30	17	(	(	PUNCT
ejpam-5678	30	18	2	2	X
ejpam-5678	30	19	)	)	PUNCT
ejpam-5678	30	20	with	with	ADP
ejpam-5678	30	21	h1(y	h1(y	PROPN
ejpam-5678	30	22	)	)	PUNCT
ejpam-5678	30	23	=	=	SYM
ejpam-5678	30	24	s	s	X
ejpam-5678	30	25	,	,	PUNCT
ejpam-5678	30	26	h2(y	h2(y	PROPN
ejpam-5678	30	27	)	)	PUNCT
ejpam-5678	30	28	=	=	SYM
ejpam-5678	30	29	ty	ty	INTJ
ejpam-5678	30	30	and	and	CCONJ
ejpam-5678	30	31	h3(y	h3(y	NUM
ejpam-5678	30	32	)	)	PUNCT
ejpam-5678	30	33	=	=	SYM
ejpam-5678	30	34	rty2	rty2	PROPN
ejpam-5678	31	1	+	+	CCONJ
ejpam-5678	31	2	su	su	PROPN
ejpam-5678	31	3	,	,	PUNCT
ejpam-5678	31	4	s	s	PROPN
ejpam-5678	31	5	,	,	PUNCT
ejpam-5678	31	6	r	r	NOUN
ejpam-5678	31	7	,	,	PUNCT
ejpam-5678	31	8	u	u	NOUN
ejpam-5678	31	9	,	,	PUNCT
ejpam-5678	31	10	t	t	PROPN
ejpam-5678	31	11	∈	∈	PROPN
ejpam-5678	31	12	r.	r.	PROPN
ejpam-5678	31	13	(	(	PUNCT
ejpam-5678	31	14	3	3	X
ejpam-5678	31	15	)	)	PUNCT
ejpam-5678	31	16	the	the	DET
ejpam-5678	31	17	horadam	horadam	PROPN
ejpam-5678	31	18	polynomials	polynomial	NOUN
ejpam-5678	31	19	hα(y	hα(y	NOUN
ejpam-5678	31	20	)	)	PUNCT
ejpam-5678	31	21	have	have	VERB
ejpam-5678	31	22	the	the	DET
ejpam-5678	31	23	generator	generator	NOUN
ejpam-5678	31	24	υ(y	υ(y	PROPN
ejpam-5678	31	25	,	,	PUNCT
ejpam-5678	31	26	℘	℘	PROPN
ejpam-5678	31	27	)	)	PUNCT
ejpam-5678	31	28	=	=	X
ejpam-5678	32	1	∞∑	∞∑	NUM
ejpam-5678	32	2	α=1	α=1	PUNCT
ejpam-5678	32	3	hα(y)℘	hα(y)℘	VERB
ejpam-5678	32	4	α−1	α−1	PROPN
ejpam-5678	32	5	=	=	PUNCT
ejpam-5678	32	6	s+	s+	X
ejpam-5678	32	7	(	(	PUNCT
ejpam-5678	32	8	t−	t−	PROPN
ejpam-5678	32	9	sr)y℘	sr)y℘	NOUN
ejpam-5678	32	10	1−	1−	NUM
ejpam-5678	32	11	ry℘−	ry℘−	PROPN
ejpam-5678	32	12	u℘2	u℘2	NOUN
ejpam-5678	32	13	.	.	PUNCT
ejpam-5678	33	1	(	(	PUNCT
ejpam-5678	33	2	4	4	X
ejpam-5678	33	3	)	)	PUNCT
ejpam-5678	33	4	remark	remark	NOUN
ejpam-5678	33	5	1	1	NUM
ejpam-5678	33	6	.	.	PUNCT
ejpam-5678	34	1	various	various	ADJ
ejpam-5678	34	2	polynomials	polynomial	NOUN
ejpam-5678	34	3	can	can	AUX
ejpam-5678	34	4	be	be	AUX
ejpam-5678	34	5	obtained	obtain	VERB
ejpam-5678	34	6	from	from	ADP
ejpam-5678	34	7	the	the	DET
ejpam-5678	34	8	horadam	horadam	PROPN
ejpam-5678	34	9	polynomials	polynomial	NOUN
ejpam-5678	34	10	hα(y	hα(y	NOUN
ejpam-5678	34	11	)	)	PUNCT
ejpam-5678	34	12	for	for	ADP
ejpam-5678	34	13	specific	specific	ADJ
ejpam-5678	34	14	values	value	NOUN
ejpam-5678	34	15	of	of	ADP
ejpam-5678	34	16	s	s	PROPN
ejpam-5678	34	17	,	,	PUNCT
ejpam-5678	34	18	t	t	PROPN
ejpam-5678	34	19	,	,	PUNCT
ejpam-5678	34	20	r	r	NOUN
ejpam-5678	34	21	and	and	CCONJ
ejpam-5678	34	22	u	u	PROPN
ejpam-5678	34	23	(	(	PUNCT
ejpam-5678	34	24	see	see	VERB
ejpam-5678	34	25	[	[	X
ejpam-5678	34	26	18	18	NUM
ejpam-5678	34	27	,	,	PUNCT
ejpam-5678	34	28	21	21	NUM
ejpam-5678	34	29	]	]	PUNCT
ejpam-5678	34	30	)	)	PUNCT
ejpam-5678	34	31	.	.	PUNCT
ejpam-5678	35	1	for	for	ADP
ejpam-5678	35	2	instance	instance	NOUN
ejpam-5678	35	3	:	:	PUNCT
ejpam-5678	35	4	(	(	PUNCT
ejpam-5678	35	5	i	i	NOUN
ejpam-5678	35	6	)	)	PUNCT
ejpam-5678	35	7	when	when	SCONJ
ejpam-5678	35	8	s	s	VERB
ejpam-5678	35	9	=	=	X
ejpam-5678	35	10	t	t	NOUN
ejpam-5678	35	11	=	=	SYM
ejpam-5678	35	12	r	r	NOUN
ejpam-5678	35	13	=	=	SYM
ejpam-5678	35	14	u	u	NOUN
ejpam-5678	35	15	=	=	NOUN
ejpam-5678	35	16	1	1	NUM
ejpam-5678	35	17	,	,	PUNCT
ejpam-5678	35	18	we	we	PRON
ejpam-5678	35	19	receive	receive	VERB
ejpam-5678	35	20	the	the	DET
ejpam-5678	35	21	fibonacci	fibonacci	NOUN
ejpam-5678	35	22	polynomials	polynomial	NOUN
ejpam-5678	35	23	fα(y	fα(y	NOUN
ejpam-5678	35	24	)	)	PUNCT
ejpam-5678	35	25	;	;	PUNCT
ejpam-5678	35	26	(	(	PUNCT
ejpam-5678	35	27	ii	ii	NOUN
ejpam-5678	35	28	)	)	PUNCT
ejpam-5678	35	29	when	when	SCONJ
ejpam-5678	35	30	s	s	VERB
ejpam-5678	35	31	=	=	SYM
ejpam-5678	35	32	2	2	NUM
ejpam-5678	35	33	and	and	CCONJ
ejpam-5678	35	34	t	t	NOUN
ejpam-5678	35	35	=	=	SYM
ejpam-5678	35	36	r	r	NOUN
ejpam-5678	35	37	=	=	SYM
ejpam-5678	35	38	u	u	NOUN
ejpam-5678	35	39	=	=	NOUN
ejpam-5678	35	40	1	1	NUM
ejpam-5678	35	41	,	,	PUNCT
ejpam-5678	35	42	we	we	PRON
ejpam-5678	35	43	receive	receive	VERB
ejpam-5678	35	44	the	the	DET
ejpam-5678	35	45	lucas	lucas	NOUN
ejpam-5678	35	46	polynomials	polynomial	NOUN
ejpam-5678	35	47	lα(y	lα(y	NOUN
ejpam-5678	35	48	)	)	PUNCT
ejpam-5678	35	49	;	;	PUNCT
ejpam-5678	35	50	(	(	PUNCT
ejpam-5678	35	51	iii	iii	X
ejpam-5678	35	52	)	)	PUNCT
ejpam-5678	35	53	when	when	SCONJ
ejpam-5678	35	54	s	s	VERB
ejpam-5678	35	55	=	=	X
ejpam-5678	35	56	t	t	X
ejpam-5678	35	57	=	=	SYM
ejpam-5678	35	58	1	1	NUM
ejpam-5678	35	59	,	,	PUNCT
ejpam-5678	35	60	r	r	NOUN
ejpam-5678	35	61	=	=	SYM
ejpam-5678	35	62	2	2	NUM
ejpam-5678	35	63	and	and	CCONJ
ejpam-5678	35	64	u	u	NOUN
ejpam-5678	35	65	=	=	NOUN
ejpam-5678	35	66	−1	−1	NOUN
ejpam-5678	35	67	,	,	PUNCT
ejpam-5678	35	68	we	we	PRON
ejpam-5678	35	69	receive	receive	VERB
ejpam-5678	35	70	the	the	DET
ejpam-5678	35	71	first	first	ADJ
ejpam-5678	35	72	kind	kind	NOUN
ejpam-5678	35	73	of	of	ADP
ejpam-5678	35	74	chebyshev	chebyshev	NOUN
ejpam-5678	35	75	polynomials	polynomial	NOUN
ejpam-5678	35	76	tα(y	tα(y	NOUN
ejpam-5678	35	77	)	)	PUNCT
ejpam-5678	35	78	;	;	PUNCT
ejpam-5678	35	79	(	(	PUNCT
ejpam-5678	35	80	iv	iv	X
ejpam-5678	35	81	)	)	PUNCT
ejpam-5678	35	82	when	when	SCONJ
ejpam-5678	35	83	s	s	VERB
ejpam-5678	35	84	=	=	SYM
ejpam-5678	35	85	1	1	NUM
ejpam-5678	35	86	,	,	PUNCT
ejpam-5678	35	87	t	t	NOUN
ejpam-5678	35	88	=	=	SYM
ejpam-5678	35	89	r	r	NOUN
ejpam-5678	35	90	=	=	SYM
ejpam-5678	35	91	2	2	NUM
ejpam-5678	35	92	and	and	CCONJ
ejpam-5678	35	93	u	u	NOUN
ejpam-5678	35	94	=	=	NOUN
ejpam-5678	35	95	−1	−1	NOUN
ejpam-5678	35	96	,	,	PUNCT
ejpam-5678	35	97	we	we	PRON
ejpam-5678	35	98	receive	receive	VERB
ejpam-5678	35	99	the	the	DET
ejpam-5678	35	100	second	second	ADJ
ejpam-5678	35	101	kind	kind	NOUN
ejpam-5678	35	102	of	of	ADP
ejpam-5678	35	103	chebyshev	chebyshev	NOUN
ejpam-5678	35	104	polynomials	polynomial	NOUN
ejpam-5678	35	105	uα(y	uα(y	NOUN
ejpam-5678	35	106	)	)	PUNCT
ejpam-5678	35	107	;	;	PUNCT
ejpam-5678	35	108	(	(	PUNCT
ejpam-5678	35	109	v	v	NOUN
ejpam-5678	35	110	)	)	PUNCT
ejpam-5678	35	111	when	when	SCONJ
ejpam-5678	35	112	s	s	VERB
ejpam-5678	35	113	=	=	SYM
ejpam-5678	35	114	u	u	NOUN
ejpam-5678	35	115	=	=	NOUN
ejpam-5678	35	116	1	1	NUM
ejpam-5678	35	117	and	and	CCONJ
ejpam-5678	35	118	t	t	NOUN
ejpam-5678	35	119	=	=	SYM
ejpam-5678	35	120	r	r	NOUN
ejpam-5678	35	121	=	=	SYM
ejpam-5678	35	122	2	2	NUM
ejpam-5678	35	123	,	,	PUNCT
ejpam-5678	35	124	we	we	PRON
ejpam-5678	35	125	receive	receive	VERB
ejpam-5678	35	126	the	the	DET
ejpam-5678	35	127	pell	pell	NOUN
ejpam-5678	35	128	polynomials	polynomial	NOUN
ejpam-5678	35	129	plα(y	plα(y	NOUN
ejpam-5678	35	130	)	)	PUNCT
ejpam-5678	35	131	;	;	PUNCT
ejpam-5678	35	132	t.	t.	PROPN
ejpam-5678	35	133	al	al	PROPN
ejpam-5678	35	134	-	-	PUNCT
ejpam-5678	35	135	hawary	hawary	PROPN
ejpam-5678	35	136	et	et	PROPN
ejpam-5678	35	137	al	al	PROPN
ejpam-5678	35	138	.	.	PUNCT
ejpam-5678	35	139	/	/	SYM
ejpam-5678	35	140	eur	eur	PROPN
ejpam-5678	35	141	.	.	PUNCT
ejpam-5678	36	1	j.	j.	PROPN
ejpam-5678	36	2	pure	pure	PROPN
ejpam-5678	36	3	appl	appl	PROPN
ejpam-5678	36	4	.	.	PROPN
ejpam-5678	36	5	math	math	PROPN
ejpam-5678	36	6	,	,	PUNCT
ejpam-5678	36	7	18	18	NUM
ejpam-5678	36	8	(	(	PUNCT
ejpam-5678	36	9	1	1	NUM
ejpam-5678	36	10	)	)	PUNCT
ejpam-5678	36	11	(	(	PUNCT
ejpam-5678	36	12	2025	2025	NUM
ejpam-5678	36	13	)	)	PUNCT
ejpam-5678	36	14	,	,	PUNCT
ejpam-5678	36	15	5678	5678	NUM
ejpam-5678	36	16	3	3	NUM
ejpam-5678	36	17	of	of	ADP
ejpam-5678	36	18	12	12	NUM
ejpam-5678	36	19	(	(	PUNCT
ejpam-5678	36	20	vi	vi	NOUN
ejpam-5678	36	21	)	)	PUNCT
ejpam-5678	36	22	when	when	SCONJ
ejpam-5678	36	23	s	s	VERB
ejpam-5678	36	24	=	=	X
ejpam-5678	36	25	t	t	NOUN
ejpam-5678	36	26	=	=	SYM
ejpam-5678	36	27	r	r	NOUN
ejpam-5678	36	28	=	=	SYM
ejpam-5678	36	29	2	2	NUM
ejpam-5678	36	30	and	and	CCONJ
ejpam-5678	36	31	u	u	NOUN
ejpam-5678	36	32	=	=	NOUN
ejpam-5678	36	33	1	1	NUM
ejpam-5678	37	1	,	,	PUNCT
ejpam-5678	37	2	we	we	PRON
ejpam-5678	37	3	receive	receive	VERB
ejpam-5678	37	4	the	the	DET
ejpam-5678	37	5	first	first	ADJ
ejpam-5678	37	6	kind	kind	NOUN
ejpam-5678	37	7	of	of	ADP
ejpam-5678	37	8	pell	pell	NOUN
ejpam-5678	37	9	-	-	PUNCT
ejpam-5678	37	10	lucas	lucas	NOUN
ejpam-5678	37	11	polynomials	polynomial	NOUN
ejpam-5678	37	12	uα(y	uα(y	NOUN
ejpam-5678	37	13	)	)	PUNCT
ejpam-5678	37	14	.	.	PUNCT
ejpam-5678	38	1	let	let	AUX
ejpam-5678	38	2	au	au	ADV
ejpam-5678	38	3	be	be	AUX
ejpam-5678	38	4	the	the	DET
ejpam-5678	38	5	family	family	NOUN
ejpam-5678	38	6	of	of	ADP
ejpam-5678	38	7	analytic	analytic	ADJ
ejpam-5678	38	8	and	and	CCONJ
ejpam-5678	38	9	univalent	univalent	ADJ
ejpam-5678	38	10	functions	function	NOUN
ejpam-5678	38	11	l	l	NOUN
ejpam-5678	38	12	in	in	ADP
ejpam-5678	38	13	the	the	DET
ejpam-5678	38	14	open	open	ADJ
ejpam-5678	38	15	disk	disk	NOUN
ejpam-5678	38	16	θ	θ	NOUN
ejpam-5678	38	17	=	=	PUNCT
ejpam-5678	38	18	{	{	PUNCT
ejpam-5678	38	19	℘	℘	PROPN
ejpam-5678	38	20	:	:	PUNCT
ejpam-5678	38	21	|℘|	|℘|	X
ejpam-5678	38	22	<	<	X
ejpam-5678	38	23	1	1	NUM
ejpam-5678	38	24	}	}	PUNCT
ejpam-5678	38	25	,	,	PUNCT
ejpam-5678	38	26	of	of	ADP
ejpam-5678	38	27	the	the	DET
ejpam-5678	38	28	form	form	NOUN
ejpam-5678	38	29	:	:	PUNCT
ejpam-5678	38	30	l(℘	l(℘	X
ejpam-5678	38	31	)	)	PUNCT
ejpam-5678	39	1	=	=	VERB
ejpam-5678	39	2	℘+	℘+	PROPN
ejpam-5678	39	3	c2℘	c2℘	VERB
ejpam-5678	39	4	2	2	NUM
ejpam-5678	39	5	+	+	NUM
ejpam-5678	39	6	c3℘	c3℘	X
ejpam-5678	39	7	3	3	NUM
ejpam-5678	39	8	+	+	NOUN
ejpam-5678	39	9	·	·	PUNCT
ejpam-5678	39	10	·	·	PUNCT
ejpam-5678	39	11	·	·	PUNCT
ejpam-5678	39	12	.	.	PUNCT
ejpam-5678	40	1	(	(	PUNCT
ejpam-5678	40	2	5	5	NUM
ejpam-5678	40	3	)	)	PUNCT
ejpam-5678	40	4	for	for	ADP
ejpam-5678	40	5	analytic	analytic	ADJ
ejpam-5678	40	6	functions	function	NOUN
ejpam-5678	40	7	l	l	NOUN
ejpam-5678	40	8	and	and	CCONJ
ejpam-5678	40	9	v	v	NOUN
ejpam-5678	40	10	,	,	PUNCT
ejpam-5678	40	11	l	l	NOUN
ejpam-5678	40	12	subordination	subordination	NOUN
ejpam-5678	40	13	to	to	ADP
ejpam-5678	40	14	v	v	NOUN
ejpam-5678	40	15	(	(	PUNCT
ejpam-5678	40	16	denoted	denote	VERB
ejpam-5678	40	17	by	by	ADP
ejpam-5678	40	18	l	l	NOUN
ejpam-5678	40	19	≺	≺	NOUN
ejpam-5678	40	20	v	v	NOUN
ejpam-5678	40	21	)	)	PUNCT
ejpam-5678	40	22	for	for	ADP
ejpam-5678	40	23	all	all	DET
ejpam-5678	40	24	℘	℘	PROPN
ejpam-5678	40	25	∈	∈	PROPN
ejpam-5678	40	26	θ	θ	NOUN
ejpam-5678	40	27	,	,	PUNCT
ejpam-5678	40	28	if	if	SCONJ
ejpam-5678	40	29	there	there	PRON
ejpam-5678	40	30	exists	exist	VERB
ejpam-5678	40	31	a	a	DET
ejpam-5678	40	32	function	function	NOUN
ejpam-5678	40	33	ϖ	ϖ	X
ejpam-5678	40	34	via	via	ADP
ejpam-5678	40	35	ϖ(0	ϖ(0	NOUN
ejpam-5678	40	36	)	)	PUNCT
ejpam-5678	40	37	=	=	SYM
ejpam-5678	40	38	0	0	NUM
ejpam-5678	40	39	and	and	CCONJ
ejpam-5678	40	40	|ϖ(℘)|	|ϖ(℘)|	PROPN
ejpam-5678	40	41	<	<	X
ejpam-5678	40	42	1	1	NUM
ejpam-5678	40	43	,	,	PUNCT
ejpam-5678	40	44	such	such	ADJ
ejpam-5678	40	45	that	that	PRON
ejpam-5678	40	46	l(℘	l(℘	PROPN
ejpam-5678	40	47	)	)	PUNCT
ejpam-5678	41	1	=	=	SYM
ejpam-5678	41	2	v	v	NOUN
ejpam-5678	41	3	(	(	PUNCT
ejpam-5678	41	4	ϖ(℘	ϖ(℘	NUM
ejpam-5678	41	5	)	)	PUNCT
ejpam-5678	41	6	)	)	PUNCT
ejpam-5678	41	7	.	.	PUNCT
ejpam-5678	42	1	in	in	ADP
ejpam-5678	42	2	addition	addition	NOUN
ejpam-5678	42	3	,	,	PUNCT
ejpam-5678	42	4	if	if	SCONJ
ejpam-5678	42	5	v	v	NOUN
ejpam-5678	42	6	is	be	AUX
ejpam-5678	42	7	univalent	univalent	ADJ
ejpam-5678	42	8	in	in	ADP
ejpam-5678	42	9	θ	θ	PROPN
ejpam-5678	42	10	,	,	PUNCT
ejpam-5678	42	11	then	then	ADV
ejpam-5678	42	12	l(℘	l(℘	PROPN
ejpam-5678	42	13	)	)	PUNCT
ejpam-5678	42	14	≺	≺	NOUN
ejpam-5678	42	15	v	v	NOUN
ejpam-5678	42	16	(	(	PUNCT
ejpam-5678	42	17	℘	℘	PROPN
ejpam-5678	42	18	)	)	PUNCT
ejpam-5678	42	19	,	,	PUNCT
ejpam-5678	42	20	iff	iff	PROPN
ejpam-5678	42	21	,	,	PUNCT
ejpam-5678	42	22	l(0	l(0	PROPN
ejpam-5678	42	23	)	)	PUNCT
ejpam-5678	43	1	=	=	SYM
ejpam-5678	43	2	v	v	X
ejpam-5678	43	3	(	(	PUNCT
ejpam-5678	43	4	0	0	NUM
ejpam-5678	43	5	)	)	PUNCT
ejpam-5678	43	6	and	and	CCONJ
ejpam-5678	43	7	l(θ	l(θ	NOUN
ejpam-5678	43	8	)	)	PUNCT
ejpam-5678	44	1	⊂	⊂	PROPN
ejpam-5678	44	2	v	v	X
ejpam-5678	44	3	(	(	PUNCT
ejpam-5678	44	4	θ	θ	NOUN
ejpam-5678	44	5	)	)	PUNCT
ejpam-5678	44	6	.	.	PUNCT
ejpam-5678	45	1	every	every	DET
ejpam-5678	45	2	function	function	NOUN
ejpam-5678	45	3	l	l	PROPN
ejpam-5678	45	4	∈	∈	PROPN
ejpam-5678	45	5	au	au	X
ejpam-5678	45	6	has	have	VERB
ejpam-5678	45	7	an	an	DET
ejpam-5678	45	8	inverse	inverse	NOUN
ejpam-5678	45	9	l−1	l−1	PROPN
ejpam-5678	45	10	defined	define	VERB
ejpam-5678	45	11	by	by	ADP
ejpam-5678	45	12	(	(	PUNCT
ejpam-5678	45	13	see	see	VERB
ejpam-5678	45	14	[	[	X
ejpam-5678	45	15	12	12	NUM
ejpam-5678	45	16	,	,	PUNCT
ejpam-5678	45	17	20	20	NUM
ejpam-5678	45	18	]	]	PUNCT
ejpam-5678	45	19	):	):	PUNCT
ejpam-5678	45	20	l−1(l(℘	l−1(l(℘	NOUN
ejpam-5678	45	21	)	)	PUNCT
ejpam-5678	45	22	)	)	PUNCT
ejpam-5678	46	1	=	=	PUNCT
ejpam-5678	46	2	℘	℘	NOUN
ejpam-5678	46	3	(	(	PUNCT
ejpam-5678	46	4	℘	℘	PROPN
ejpam-5678	46	5	∈	∈	PROPN
ejpam-5678	46	6	θ	θ	NOUN
ejpam-5678	46	7	)	)	PUNCT
ejpam-5678	46	8	and	and	CCONJ
ejpam-5678	46	9	ϖ	ϖ	X
ejpam-5678	46	10	=	=	SYM
ejpam-5678	46	11	l(l−1(ϖ	l(l−1(ϖ	PROPN
ejpam-5678	46	12	)	)	PUNCT
ejpam-5678	46	13	)	)	PUNCT
ejpam-5678	46	14	(	(	PUNCT
ejpam-5678	46	15	|ϖ|	|ϖ|	X
ejpam-5678	46	16	<	<	X
ejpam-5678	46	17	r0(l	r0(l	PROPN
ejpam-5678	46	18	)	)	PUNCT
ejpam-5678	46	19	;	;	PUNCT
ejpam-5678	46	20	r0(v	r0(v	PROPN
ejpam-5678	46	21	)	)	PUNCT
ejpam-5678	46	22	≥	≥	NOUN
ejpam-5678	46	23	1	1	NUM
ejpam-5678	46	24	4	4	NUM
ejpam-5678	46	25	)	)	PUNCT
ejpam-5678	46	26	,	,	PUNCT
ejpam-5678	46	27	where	where	SCONJ
ejpam-5678	46	28	v	v	X
ejpam-5678	46	29	(	(	PUNCT
ejpam-5678	46	30	ϖ	ϖ	NOUN
ejpam-5678	46	31	)	)	PUNCT
ejpam-5678	46	32	=	=	SYM
ejpam-5678	46	33	l−1(ϖ	l−1(ϖ	NOUN
ejpam-5678	46	34	)	)	PUNCT
ejpam-5678	46	35	=	=	SYM
ejpam-5678	47	1	ϖ	ϖ	X
ejpam-5678	47	2	−	−	NOUN
ejpam-5678	47	3	c2ϖ	c2ϖ	NOUN
ejpam-5678	47	4	2	2	NUM
ejpam-5678	47	5	+	+	CCONJ
ejpam-5678	47	6	(	(	PUNCT
ejpam-5678	47	7	2c22	2c22	NOUN
ejpam-5678	47	8	−	−	PROPN
ejpam-5678	47	9	c3)ϖ	c3)ϖ	NOUN
ejpam-5678	47	10	3	3	NUM
ejpam-5678	47	11	−	−	PROPN
ejpam-5678	47	12	(	(	PUNCT
ejpam-5678	47	13	c4	c4	NOUN
ejpam-5678	47	14	+	+	CCONJ
ejpam-5678	47	15	5c32	5c32	NUM
ejpam-5678	48	1	−	−	ADP
ejpam-5678	48	2	5c3c2)ϖ	5c3c2)ϖ	NOUN
ejpam-5678	48	3	4	4	NUM
ejpam-5678	48	4	+	+	CCONJ
ejpam-5678	48	5	·	·	PUNCT
ejpam-5678	48	6	·	·	PUNCT
ejpam-5678	48	7	·	·	PUNCT
ejpam-5678	48	8	.	.	PUNCT
ejpam-5678	49	1	(	(	PUNCT
ejpam-5678	49	2	6	6	X
ejpam-5678	49	3	)	)	PUNCT
ejpam-5678	49	4	a	a	DET
ejpam-5678	49	5	function	function	NOUN
ejpam-5678	49	6	l	l	NOUN
ejpam-5678	49	7	∈	∈	PROPN
ejpam-5678	49	8	au	au	X
ejpam-5678	49	9	is	be	AUX
ejpam-5678	49	10	said	say	VERB
ejpam-5678	49	11	to	to	PART
ejpam-5678	49	12	be	be	AUX
ejpam-5678	49	13	bi	bi	ADJ
ejpam-5678	49	14	-	-	ADJ
ejpam-5678	49	15	univalent	univalent	ADJ
ejpam-5678	49	16	in	in	ADP
ejpam-5678	49	17	θ	θ	PROPN
ejpam-5678	49	18	(	(	PUNCT
ejpam-5678	49	19	the	the	DET
ejpam-5678	49	20	family	family	NOUN
ejpam-5678	49	21	of	of	ADP
ejpam-5678	49	22	bi	bi	ADJ
ejpam-5678	49	23	-	-	ADJ
ejpam-5678	49	24	univalent	univalent	ADJ
ejpam-5678	49	25	functions	function	NOUN
ejpam-5678	49	26	in	in	ADP
ejpam-5678	49	27	θ	θ	PROPN
ejpam-5678	49	28	denoted	denote	VERB
ejpam-5678	49	29	by	by	ADP
ejpam-5678	49	30	ω	ω	NOUN
ejpam-5678	49	31	)	)	PUNCT
ejpam-5678	49	32	if	if	SCONJ
ejpam-5678	49	33	both	both	DET
ejpam-5678	49	34	l(℘	l(℘	PROPN
ejpam-5678	49	35	)	)	PUNCT
ejpam-5678	49	36	and	and	CCONJ
ejpam-5678	49	37	l−1(℘	l−1(℘	PROPN
ejpam-5678	49	38	)	)	PUNCT
ejpam-5678	49	39	are	be	AUX
ejpam-5678	49	40	univalent	univalent	ADJ
ejpam-5678	49	41	in	in	ADP
ejpam-5678	49	42	θ	θ	PROPN
ejpam-5678	49	43	(	(	PUNCT
ejpam-5678	49	44	see	see	VERB
ejpam-5678	49	45	[	[	X
ejpam-5678	49	46	15	15	NUM
ejpam-5678	49	47	,	,	PUNCT
ejpam-5678	49	48	22	22	NUM
ejpam-5678	49	49	]	]	PUNCT
ejpam-5678	49	50	)	)	PUNCT
ejpam-5678	49	51	.	.	PUNCT
ejpam-5678	50	1	the	the	DET
ejpam-5678	50	2	error	error	NOUN
ejpam-5678	50	3	function	function	NOUN
ejpam-5678	50	4	is	be	AUX
ejpam-5678	50	5	important	important	ADJ
ejpam-5678	50	6	in	in	ADP
ejpam-5678	50	7	many	many	ADJ
ejpam-5678	50	8	scientific	scientific	ADJ
ejpam-5678	50	9	domains	domain	NOUN
ejpam-5678	50	10	,	,	PUNCT
ejpam-5678	50	11	such	such	ADJ
ejpam-5678	50	12	as	as	ADP
ejpam-5678	50	13	probability	probability	NOUN
ejpam-5678	50	14	,	,	PUNCT
ejpam-5678	50	15	statistics	statistic	NOUN
ejpam-5678	50	16	,	,	PUNCT
ejpam-5678	50	17	partial	partial	ADJ
ejpam-5678	50	18	differential	differential	NOUN
ejpam-5678	50	19	equations	equation	NOUN
ejpam-5678	50	20	,	,	PUNCT
ejpam-5678	50	21	and	and	CCONJ
ejpam-5678	50	22	numerous	numerous	ADJ
ejpam-5678	50	23	engineering	engineering	NOUN
ejpam-5678	50	24	issues	issue	NOUN
ejpam-5678	50	25	.	.	PUNCT
ejpam-5678	51	1	as	as	ADP
ejpam-5678	51	2	a	a	DET
ejpam-5678	51	3	result	result	NOUN
ejpam-5678	51	4	,	,	PUNCT
ejpam-5678	51	5	mathematics	mathematic	NOUN
ejpam-5678	51	6	has	have	AUX
ejpam-5678	51	7	given	give	VERB
ejpam-5678	51	8	it	it	PRON
ejpam-5678	51	9	a	a	DET
ejpam-5678	51	10	lot	lot	NOUN
ejpam-5678	51	11	of	of	ADP
ejpam-5678	51	12	attention	attention	NOUN
ejpam-5678	51	13	.	.	PUNCT
ejpam-5678	52	1	for	for	ADP
ejpam-5678	52	2	the	the	DET
ejpam-5678	52	3	error	error	NOUN
ejpam-5678	52	4	function	function	NOUN
ejpam-5678	52	5	,	,	PUNCT
ejpam-5678	52	6	a	a	DET
ejpam-5678	52	7	number	number	NOUN
ejpam-5678	52	8	of	of	ADP
ejpam-5678	52	9	noteworthy	noteworthy	ADJ
ejpam-5678	52	10	inequalities	inequality	NOUN
ejpam-5678	52	11	and	and	CCONJ
ejpam-5678	52	12	associated	associated	ADJ
ejpam-5678	52	13	subjects	subject	NOUN
ejpam-5678	52	14	were	be	AUX
ejpam-5678	52	15	reported	report	VERB
ejpam-5678	52	16	;	;	PUNCT
ejpam-5678	52	17	for	for	ADP
ejpam-5678	52	18	examples	example	NOUN
ejpam-5678	52	19	,	,	PUNCT
ejpam-5678	52	20	see	see	VERB
ejpam-5678	52	21	[	[	X
ejpam-5678	52	22	9	9	NUM
ejpam-5678	52	23	,	,	PUNCT
ejpam-5678	52	24	13	13	NUM
ejpam-5678	52	25	,	,	PUNCT
ejpam-5678	52	26	16	16	NUM
ejpam-5678	52	27	]	]	PUNCT
ejpam-5678	52	28	.	.	PUNCT
ejpam-5678	53	1	when	when	SCONJ
ejpam-5678	53	2	predicting	predict	VERB
ejpam-5678	53	3	events	event	NOUN
ejpam-5678	53	4	that	that	PRON
ejpam-5678	53	5	hold	hold	VERB
ejpam-5678	53	6	with	with	ADP
ejpam-5678	53	7	high	high	ADJ
ejpam-5678	53	8	or	or	CCONJ
ejpam-5678	53	9	low	low	ADJ
ejpam-5678	53	10	probability	probability	NOUN
ejpam-5678	53	11	,	,	PUNCT
ejpam-5678	53	12	the	the	DET
ejpam-5678	53	13	error	error	NOUN
ejpam-5678	53	14	function	function	NOUN
ejpam-5678	53	15	and	and	CCONJ
ejpam-5678	53	16	its	its	PRON
ejpam-5678	53	17	approximations	approximation	NOUN
ejpam-5678	53	18	are	be	AUX
ejpam-5678	53	19	typically	typically	ADV
ejpam-5678	53	20	utilized	utilize	VERB
ejpam-5678	53	21	.	.	PUNCT
ejpam-5678	54	1	erf(℘	erf(℘	NOUN
ejpam-5678	54	2	)	)	PUNCT
ejpam-5678	55	1	=	=	PUNCT
ejpam-5678	55	2	2√	2√	NUM
ejpam-5678	55	3	π	π	X
ejpam-5678	55	4	℘∫	℘∫	PROPN
ejpam-5678	55	5	0	0	NUM
ejpam-5678	55	6	e−y2dy	e−y2dy	PROPN
ejpam-5678	55	7	=	=	SYM
ejpam-5678	55	8	2√	2√	PROPN
ejpam-5678	55	9	π	π	X
ejpam-5678	55	10	∞∑	∞∑	ADJ
ejpam-5678	55	11	ν=0	ν=0	X
ejpam-5678	55	12	(	(	PUNCT
ejpam-5678	55	13	−1)ν℘2ν+1	−1)ν℘2ν+1	NUM
ejpam-5678	55	14	(	(	PUNCT
ejpam-5678	55	15	2ν	2ν	NOUN
ejpam-5678	55	16	+	+	CCONJ
ejpam-5678	55	17	1)ν	1)ν	NUM
ejpam-5678	55	18	!	!	NOUN
ejpam-5678	55	19	,	,	PUNCT
ejpam-5678	55	20	℘	℘	PROPN
ejpam-5678	55	21	∈	∈	PROPN
ejpam-5678	55	22	c.	c.	NOUN
ejpam-5678	55	23	(	(	PUNCT
ejpam-5678	55	24	7	7	X
ejpam-5678	55	25	)	)	PUNCT
ejpam-5678	55	26	the	the	DET
ejpam-5678	55	27	imaginary	imaginary	ADJ
ejpam-5678	55	28	error	error	NOUN
ejpam-5678	55	29	functions	function	NOUN
ejpam-5678	55	30	maclaurin	maclaurin	NOUN
ejpam-5678	55	31	series	series	NOUN
ejpam-5678	55	32	can	can	AUX
ejpam-5678	55	33	be	be	AUX
ejpam-5678	55	34	obtained	obtain	VERB
ejpam-5678	55	35	as	as	ADP
ejpam-5678	55	36	shown	show	VERB
ejpam-5678	55	37	above	above	ADV
ejpam-5678	55	38	by	by	ADP
ejpam-5678	55	39	wringing	wring	VERB
ejpam-5678	55	40	the	the	DET
ejpam-5678	55	41	integrand	integrand	NOUN
ejpam-5678	55	42	e−y2	e−y2	PUNCT
ejpam-5678	55	43	as	as	ADP
ejpam-5678	55	44	maclaurin	maclaurin	PROPN
ejpam-5678	55	45	series	series	NOUN
ejpam-5678	55	46	and	and	CCONJ
ejpam-5678	55	47	integrating	integrating	NOUN
ejpam-5678	55	48	term	term	NOUN
ejpam-5678	55	49	by	by	ADP
ejpam-5678	55	50	term	term	NOUN
ejpam-5678	55	51	;	;	PUNCT
ejpam-5678	55	52	additionally	additionally	ADV
ejpam-5678	55	53	,	,	PUNCT
ejpam-5678	55	54	the	the	DET
ejpam-5678	55	55	t.	t.	PROPN
ejpam-5678	55	56	al	al	PROPN
ejpam-5678	55	57	-	-	PUNCT
ejpam-5678	55	58	hawary	hawary	PROPN
ejpam-5678	55	59	et	et	PROPN
ejpam-5678	55	60	al	al	PROPN
ejpam-5678	55	61	.	.	PUNCT
ejpam-5678	55	62	/	/	SYM
ejpam-5678	55	63	eur	eur	PROPN
ejpam-5678	55	64	.	.	PUNCT
ejpam-5678	56	1	j.	j.	PROPN
ejpam-5678	56	2	pure	pure	PROPN
ejpam-5678	56	3	appl	appl	PROPN
ejpam-5678	56	4	.	.	PROPN
ejpam-5678	56	5	math	math	PROPN
ejpam-5678	56	6	,	,	PUNCT
ejpam-5678	56	7	18	18	NUM
ejpam-5678	56	8	(	(	PUNCT
ejpam-5678	56	9	1	1	NUM
ejpam-5678	56	10	)	)	PUNCT
ejpam-5678	56	11	(	(	PUNCT
ejpam-5678	56	12	2025	2025	NUM
ejpam-5678	56	13	)	)	PUNCT
ejpam-5678	56	14	,	,	PUNCT
ejpam-5678	56	15	5678	5678	NUM
ejpam-5678	56	16	4	4	NUM
ejpam-5678	56	17	of	of	ADP
ejpam-5678	56	18	12	12	NUM
ejpam-5678	56	19	imaginary	imaginary	ADJ
ejpam-5678	56	20	error	error	NOUN
ejpam-5678	56	21	function	function	NOUN
ejpam-5678	56	22	,	,	PUNCT
ejpam-5678	56	23	represented	represent	VERB
ejpam-5678	56	24	by	by	ADP
ejpam-5678	56	25	the	the	DET
ejpam-5678	56	26	symbol	symbol	NOUN
ejpam-5678	56	27	erfi	erfi	NOUN
ejpam-5678	56	28	,	,	PUNCT
ejpam-5678	56	29	has	have	VERB
ejpam-5678	56	30	a	a	DET
ejpam-5678	56	31	very	very	ADV
ejpam-5678	56	32	similar	similar	ADJ
ejpam-5678	56	33	maclaurin	maclaurin	NOUN
ejpam-5678	56	34	series	series	NOUN
ejpam-5678	56	35	,	,	PUNCT
ejpam-5678	56	36	which	which	PRON
ejpam-5678	56	37	is	be	AUX
ejpam-5678	56	38	explained	explain	VERB
ejpam-5678	56	39	by	by	ADP
ejpam-5678	56	40	(	(	PUNCT
ejpam-5678	56	41	see	see	VERB
ejpam-5678	56	42	[	[	X
ejpam-5678	56	43	2	2	NUM
ejpam-5678	56	44	,	,	PUNCT
ejpam-5678	56	45	10	10	NUM
ejpam-5678	56	46	]	]	PUNCT
ejpam-5678	56	47	):	):	PUNCT
ejpam-5678	56	48	erf	erf	PROPN
ejpam-5678	56	49	i(℘	i(℘	NOUN
ejpam-5678	56	50	)	)	PUNCT
ejpam-5678	56	51	=	=	PUNCT
ejpam-5678	57	1	2√	2√	PROPN
ejpam-5678	57	2	π	π	X
ejpam-5678	57	3	℘∫	℘∫	PROPN
ejpam-5678	57	4	0	0	NUM
ejpam-5678	57	5	e−y2dy	e−y2dy	PROPN
ejpam-5678	57	6	=	=	SYM
ejpam-5678	57	7	2√	2√	PROPN
ejpam-5678	57	8	π	π	NOUN
ejpam-5678	57	9	∞∑	∞∑	PUNCT
ejpam-5678	57	10	ν=0	ν=0	PRON
ejpam-5678	57	11	℘2ν+1	℘2ν+1	NOUN
ejpam-5678	57	12	(	(	PUNCT
ejpam-5678	57	13	2ν	2ν	NOUN
ejpam-5678	57	14	+	+	CCONJ
ejpam-5678	57	15	1)ν	1)ν	NUM
ejpam-5678	57	16	!	!	NOUN
ejpam-5678	57	17	,	,	PUNCT
ejpam-5678	57	18	℘	℘	PROPN
ejpam-5678	57	19	∈	∈	PROPN
ejpam-5678	57	20	c.	c.	NOUN
ejpam-5678	57	21	(	(	PUNCT
ejpam-5678	57	22	8)	8)	NUM
ejpam-5678	57	23	using	use	VERB
ejpam-5678	57	24	(	(	PUNCT
ejpam-5678	57	25	7	7	NUM
ejpam-5678	57	26	)	)	PUNCT
ejpam-5678	57	27	,	,	PUNCT
ejpam-5678	57	28	ramachandran	ramachandran	PROPN
ejpam-5678	57	29	et	et	PROPN
ejpam-5678	57	30	al	al	PROPN
ejpam-5678	57	31	.	.	PUNCT
ejpam-5678	58	1	[	[	X
ejpam-5678	58	2	8	8	NUM
ejpam-5678	58	3	]	]	PUNCT
ejpam-5678	58	4	investigated	investigate	VERB
ejpam-5678	58	5	the	the	DET
ejpam-5678	58	6	normalized	normalize	VERB
ejpam-5678	58	7	analytic	analytic	ADJ
ejpam-5678	58	8	error	error	NOUN
ejpam-5678	58	9	function	function	NOUN
ejpam-5678	58	10	regarding	regard	VERB
ejpam-5678	58	11	the	the	DET
ejpam-5678	58	12	form	form	NOUN
ejpam-5678	58	13	:	:	PUNCT
ejpam-5678	58	14	erf(℘	erf(℘	NOUN
ejpam-5678	58	15	)	)	PUNCT
ejpam-5678	59	1	=	=	SYM
ejpam-5678	59	2	√	√	NOUN
ejpam-5678	59	3	π℘	π℘	NUM
ejpam-5678	59	4	2	2	NUM
ejpam-5678	59	5	erf	erf	NOUN
ejpam-5678	59	6	(	(	PUNCT
ejpam-5678	59	7	√	√	NUM
ejpam-5678	59	8	℘	℘	PROPN
ejpam-5678	59	9	)	)	PUNCT
ejpam-5678	59	10	=	=	PUNCT
ejpam-5678	59	11	℘+	℘+	ADP
ejpam-5678	59	12	∞∑	∞∑	NUM
ejpam-5678	59	13	ν=2	ν=2	PROPN
ejpam-5678	59	14	(	(	PUNCT
ejpam-5678	59	15	−1)ν−1℘ν	−1)ν−1℘ν	X
ejpam-5678	59	16	(	(	PUNCT
ejpam-5678	59	17	2ν	2ν	NOUN
ejpam-5678	59	18	−	−	NOUN
ejpam-5678	59	19	1)(ν	1)(ν	NUM
ejpam-5678	59	20	−	−	NOUN
ejpam-5678	59	21	1	1	NUM
ejpam-5678	59	22	)	)	PUNCT
ejpam-5678	59	23	!	!	PUNCT
ejpam-5678	60	1	,	,	PUNCT
ejpam-5678	60	2	(	(	PUNCT
ejpam-5678	60	3	9	9	X
ejpam-5678	60	4	)	)	PUNCT
ejpam-5678	60	5	and	and	CCONJ
ejpam-5678	60	6	utilizing	utilize	VERB
ejpam-5678	60	7	the	the	DET
ejpam-5678	60	8	convolution	convolution	NOUN
ejpam-5678	60	9	product	product	NOUN
ejpam-5678	60	10	“	"	PUNCT
ejpam-5678	60	11	∗	∗	NOUN
ejpam-5678	60	12	”	"	PUNCT
ejpam-5678	60	13	defined	define	VERB
ejpam-5678	60	14	the	the	DET
ejpam-5678	60	15	following	follow	VERB
ejpam-5678	60	16	family	family	NOUN
ejpam-5678	60	17	erf	erf	NOUN
ejpam-5678	60	18	∗au	∗au	PROPN
ejpam-5678	61	1	=	=	PRON
ejpam-5678	61	2	{	{	PUNCT
ejpam-5678	61	3	r	r	NOUN
ejpam-5678	61	4	:	:	PUNCT
ejpam-5678	61	5	r(℘	r(℘	NOUN
ejpam-5678	61	6	)	)	PUNCT
ejpam-5678	61	7	=	=	SYM
ejpam-5678	61	8	(	(	PUNCT
ejpam-5678	61	9	erf	erf	NOUN
ejpam-5678	61	10	∗	∗	PUNCT
ejpam-5678	61	11	l)(℘	l)(℘	PROPN
ejpam-5678	61	12	)	)	PUNCT
ejpam-5678	61	13	=	=	PUNCT
ejpam-5678	61	14	℘+	℘+	ADP
ejpam-5678	61	15	∞∑	∞∑	NUM
ejpam-5678	61	16	ν=2	ν=2	NUM
ejpam-5678	61	17	(	(	PUNCT
ejpam-5678	61	18	−1)ν−1cν	−1)ν−1cν	PROPN
ejpam-5678	61	19	(	(	PUNCT
ejpam-5678	61	20	2ν	2ν	NOUN
ejpam-5678	61	21	−	−	NOUN
ejpam-5678	61	22	1)(ν	1)(ν	NUM
ejpam-5678	61	23	−	−	NOUN
ejpam-5678	61	24	1	1	NUM
ejpam-5678	61	25	)	)	PUNCT
ejpam-5678	61	26	!	!	PUNCT
ejpam-5678	62	1	℘ν	℘ν	PROPN
ejpam-5678	62	2	,	,	PUNCT
ejpam-5678	62	3	l	l	PROPN
ejpam-5678	62	4	∈	∈	PROPN
ejpam-5678	62	5	au	au	X
ejpam-5678	62	6	}	}	PUNCT
ejpam-5678	62	7	.	.	PUNCT
ejpam-5678	63	1	(	(	PUNCT
ejpam-5678	63	2	10	10	NUM
ejpam-5678	63	3	)	)	PUNCT
ejpam-5678	63	4	from	from	ADP
ejpam-5678	63	5	(	(	PUNCT
ejpam-5678	63	6	8)	8)	NUM
ejpam-5678	63	7	,	,	PUNCT
ejpam-5678	63	8	the	the	DET
ejpam-5678	63	9	normalized	normalize	VERB
ejpam-5678	63	10	form	form	NOUN
ejpam-5678	63	11	of	of	ADP
ejpam-5678	63	12	the	the	DET
ejpam-5678	63	13	error	error	NOUN
ejpam-5678	63	14	function	function	NOUN
ejpam-5678	63	15	erfi	erfi	NOUN
ejpam-5678	63	16	defined	define	VERB
ejpam-5678	63	17	by	by	ADP
ejpam-5678	63	18	:	:	PUNCT
ejpam-5678	63	19	erfi(℘	erfi(℘	NOUN
ejpam-5678	63	20	)	)	PUNCT
ejpam-5678	63	21	=	=	SYM
ejpam-5678	64	1	√	√	NOUN
ejpam-5678	64	2	π℘	π℘	NOUN
ejpam-5678	64	3	2	2	NUM
ejpam-5678	64	4	erf	erf	NOUN
ejpam-5678	65	1	i	i	PRON
ejpam-5678	65	2	(	(	PUNCT
ejpam-5678	65	3	√	√	NOUN
ejpam-5678	65	4	℘	℘	NOUN
ejpam-5678	65	5	)	)	PUNCT
ejpam-5678	65	6	=	=	PUNCT
ejpam-5678	65	7	℘+	℘+	ADP
ejpam-5678	65	8	∞∑	∞∑	NUM
ejpam-5678	65	9	ν=2	ν=2	PROPN
ejpam-5678	65	10	℘ν	℘ν	NOUN
ejpam-5678	65	11	(	(	PUNCT
ejpam-5678	65	12	2ν	2ν	NOUN
ejpam-5678	65	13	−	−	NOUN
ejpam-5678	65	14	1)(ν	1)(ν	NUM
ejpam-5678	65	15	−	−	NOUN
ejpam-5678	65	16	1	1	NUM
ejpam-5678	65	17	)	)	PUNCT
ejpam-5678	65	18	!	!	PUNCT
ejpam-5678	66	1	and	and	CCONJ
ejpam-5678	66	2	by	by	ADP
ejpam-5678	66	3	convolution	convolution	NOUN
ejpam-5678	66	4	product	product	NOUN
ejpam-5678	66	5	,	,	PUNCT
ejpam-5678	66	6	we	we	PRON
ejpam-5678	66	7	define	define	VERB
ejpam-5678	66	8	el(℘	el(℘	NOUN
ejpam-5678	66	9	)	)	PUNCT
ejpam-5678	66	10	=	=	SYM
ejpam-5678	66	11	(	(	PUNCT
ejpam-5678	66	12	erfi	erfi	NOUN
ejpam-5678	66	13	∗	∗	NOUN
ejpam-5678	66	14	l)(℘	l)(℘	PROPN
ejpam-5678	66	15	)	)	PUNCT
ejpam-5678	67	1	=	=	PUNCT
ejpam-5678	67	2	℘+	℘+	ADP
ejpam-5678	67	3	∞∑	∞∑	NUM
ejpam-5678	67	4	ν=2	ν=2	NUM
ejpam-5678	67	5	cν	cν	NOUN
ejpam-5678	67	6	(	(	PUNCT
ejpam-5678	67	7	2ν	2ν	NOUN
ejpam-5678	67	8	−	−	NOUN
ejpam-5678	67	9	1)(ν	1)(ν	NUM
ejpam-5678	67	10	−	−	NOUN
ejpam-5678	67	11	1	1	NUM
ejpam-5678	67	12	)	)	PUNCT
ejpam-5678	67	13	!	!	PUNCT
ejpam-5678	68	1	℘ν	℘ν	PROPN
ejpam-5678	68	2	.	.	PUNCT
ejpam-5678	69	1	after	after	SCONJ
ejpam-5678	69	2	we	we	PRON
ejpam-5678	69	3	introduced	introduce	VERB
ejpam-5678	69	4	the	the	DET
ejpam-5678	69	5	horadam	horadam	PROPN
ejpam-5678	69	6	polynomials	polynomial	NOUN
ejpam-5678	69	7	and	and	CCONJ
ejpam-5678	69	8	the	the	DET
ejpam-5678	69	9	normalized	normalize	VERB
ejpam-5678	69	10	form	form	NOUN
ejpam-5678	69	11	of	of	ADP
ejpam-5678	69	12	the	the	DET
ejpam-5678	69	13	error	error	NOUN
ejpam-5678	69	14	function	function	NOUN
ejpam-5678	69	15	,	,	PUNCT
ejpam-5678	69	16	we	we	PRON
ejpam-5678	69	17	will	will	AUX
ejpam-5678	69	18	define	define	VERB
ejpam-5678	69	19	the	the	DET
ejpam-5678	69	20	following	follow	VERB
ejpam-5678	69	21	definition	definition	NOUN
ejpam-5678	69	22	.	.	PUNCT
ejpam-5678	70	1	definition	definition	NOUN
ejpam-5678	70	2	1	1	NUM
ejpam-5678	70	3	.	.	PUNCT
ejpam-5678	71	1	a	a	DET
ejpam-5678	71	2	function	function	NOUN
ejpam-5678	71	3	l	l	NOUN
ejpam-5678	71	4	∈	∈	PROPN
ejpam-5678	71	5	ω	ω	NOUN
ejpam-5678	71	6	given	give	VERB
ejpam-5678	71	7	by	by	ADP
ejpam-5678	71	8	(	(	PUNCT
ejpam-5678	71	9	5	5	NUM
ejpam-5678	71	10	)	)	PUNCT
ejpam-5678	71	11	is	be	AUX
ejpam-5678	71	12	said	say	VERB
ejpam-5678	71	13	to	to	PART
ejpam-5678	71	14	be	be	AUX
ejpam-5678	71	15	in	in	ADP
ejpam-5678	71	16	the	the	DET
ejpam-5678	71	17	family	family	NOUN
ejpam-5678	71	18	fω(s	fω(s	PROPN
ejpam-5678	71	19	,	,	PUNCT
ejpam-5678	71	20	r	r	NOUN
ejpam-5678	71	21	,	,	PUNCT
ejpam-5678	71	22	u	u	NOUN
ejpam-5678	71	23	,	,	PUNCT
ejpam-5678	71	24	y	y	PROPN
ejpam-5678	71	25	,	,	PUNCT
ejpam-5678	71	26	t	t	PROPN
ejpam-5678	71	27	,	,	PUNCT
ejpam-5678	71	28	λ	λ	PROPN
ejpam-5678	71	29	,	,	PUNCT
ejpam-5678	71	30	τ	τ	X
ejpam-5678	71	31	)	)	PUNCT
ejpam-5678	71	32	if	if	SCONJ
ejpam-5678	71	33	satisfying	satisfy	VERB
ejpam-5678	71	34	the	the	DET
ejpam-5678	71	35	below	below	ADP
ejpam-5678	71	36	two	two	NUM
ejpam-5678	71	37	conditions	condition	NOUN
ejpam-5678	71	38	(	(	PUNCT
ejpam-5678	71	39	1−	1−	NUM
ejpam-5678	71	40	τ	τ	NOUN
ejpam-5678	71	41	)	)	PUNCT
ejpam-5678	71	42	el(℘	el(℘	PROPN
ejpam-5678	71	43	)	)	PUNCT
ejpam-5678	71	44	℘	℘	PROPN
ejpam-5678	71	45	+	+	PRON
ejpam-5678	71	46	τ	τ	X
ejpam-5678	71	47	(	(	PUNCT
ejpam-5678	71	48	el(℘))′	el(℘))′	PROPN
ejpam-5678	71	49	+	+	NUM
ejpam-5678	71	50	λ℘	λ℘	NOUN
ejpam-5678	71	51	(	(	PUNCT
ejpam-5678	71	52	el(℘))′′	el(℘))′′	PROPN
ejpam-5678	71	53	≺	≺	NOUN
ejpam-5678	71	54	υ(y	υ(y	PROPN
ejpam-5678	71	55	,	,	PUNCT
ejpam-5678	71	56	℘	℘	PROPN
ejpam-5678	71	57	)	)	PUNCT
ejpam-5678	72	1	+	+	NUM
ejpam-5678	73	1	1−	1−	NUM
ejpam-5678	73	2	s	s	X
ejpam-5678	73	3	(	(	PUNCT
ejpam-5678	73	4	11	11	NUM
ejpam-5678	73	5	)	)	PUNCT
ejpam-5678	73	6	and	and	CCONJ
ejpam-5678	73	7	(	(	PUNCT
ejpam-5678	73	8	1−	1−	NUM
ejpam-5678	73	9	τ	τ	NOUN
ejpam-5678	73	10	)	)	PUNCT
ejpam-5678	73	11	ev	ev	X
ejpam-5678	73	12	(	(	PUNCT
ejpam-5678	73	13	ϖ	ϖ	NOUN
ejpam-5678	73	14	)	)	PUNCT
ejpam-5678	73	15	ϖ	ϖ	PROPN
ejpam-5678	74	1	+	+	CCONJ
ejpam-5678	74	2	τ	τ	X
ejpam-5678	74	3	(	(	PUNCT
ejpam-5678	74	4	ev	ev	X
ejpam-5678	74	5	(	(	PUNCT
ejpam-5678	74	6	ϖ))′	ϖ))′	PROPN
ejpam-5678	74	7	+	+	NUM
ejpam-5678	74	8	λϖ	λϖ	PROPN
ejpam-5678	74	9	(	(	PUNCT
ejpam-5678	74	10	ev	ev	X
ejpam-5678	74	11	(	(	PUNCT
ejpam-5678	74	12	ϖ))′′	ϖ))′′	NOUN
ejpam-5678	74	13	≺	≺	NOUN
ejpam-5678	74	14	υ(y,ϖ	υ(y,ϖ	NUM
ejpam-5678	74	15	)	)	PUNCT
ejpam-5678	75	1	+	+	CCONJ
ejpam-5678	75	2	1−	1−	NUM
ejpam-5678	75	3	s	s	NOUN
ejpam-5678	75	4	,	,	PUNCT
ejpam-5678	75	5	(	(	PUNCT
ejpam-5678	75	6	12	12	NUM
ejpam-5678	75	7	)	)	PUNCT
ejpam-5678	75	8	where	where	SCONJ
ejpam-5678	75	9	℘,ϖ	℘,ϖ	PROPN
ejpam-5678	75	10	∈	∈	PROPN
ejpam-5678	75	11	θ	θ	PROPN
ejpam-5678	75	12	,	,	PUNCT
ejpam-5678	75	13	τ	τ	PROPN
ejpam-5678	75	14	,	,	PUNCT
ejpam-5678	75	15	λ	λ	X
ejpam-5678	75	16	≥	≥	NOUN
ejpam-5678	75	17	0	0	NUM
ejpam-5678	75	18	,	,	PUNCT
ejpam-5678	75	19	y	y	PROPN
ejpam-5678	75	20	∈	∈	PROPN
ejpam-5678	75	21	r	r	NOUN
ejpam-5678	75	22	,	,	PUNCT
ejpam-5678	75	23	and	and	CCONJ
ejpam-5678	75	24	the	the	DET
ejpam-5678	75	25	function	function	NOUN
ejpam-5678	75	26	v	v	NOUN
ejpam-5678	75	27	=	=	SYM
ejpam-5678	75	28	l−1	l−1	PROPN
ejpam-5678	75	29	is	be	AUX
ejpam-5678	75	30	given	give	VERB
ejpam-5678	75	31	by	by	ADP
ejpam-5678	75	32	(	(	PUNCT
ejpam-5678	75	33	6	6	NUM
ejpam-5678	75	34	)	)	PUNCT
ejpam-5678	75	35	.	.	PUNCT
ejpam-5678	75	36	example	example	NOUN
ejpam-5678	76	1	1	1	NUM
ejpam-5678	76	2	.	.	X
ejpam-5678	77	1	for	for	ADP
ejpam-5678	77	2	λ	λ	PROPN
ejpam-5678	77	3	=	=	SYM
ejpam-5678	77	4	0	0	NUM
ejpam-5678	77	5	,	,	PUNCT
ejpam-5678	77	6	we	we	PRON
ejpam-5678	77	7	have	have	VERB
ejpam-5678	77	8	,	,	PUNCT
ejpam-5678	77	9	fω(s	fω(s	PROPN
ejpam-5678	77	10	,	,	PUNCT
ejpam-5678	77	11	r	r	NOUN
ejpam-5678	77	12	,	,	PUNCT
ejpam-5678	77	13	u	u	NOUN
ejpam-5678	77	14	,	,	PUNCT
ejpam-5678	77	15	y	y	PROPN
ejpam-5678	77	16	,	,	PUNCT
ejpam-5678	77	17	t	t	PROPN
ejpam-5678	77	18	,	,	PUNCT
ejpam-5678	77	19	0	0	NUM
ejpam-5678	77	20	,	,	PUNCT
ejpam-5678	77	21	τ	τ	X
ejpam-5678	77	22	)	)	PUNCT
ejpam-5678	77	23	=	=	SYM
ejpam-5678	78	1	fω(s	fω(s	PROPN
ejpam-5678	78	2	,	,	PUNCT
ejpam-5678	78	3	r	r	NOUN
ejpam-5678	78	4	,	,	PUNCT
ejpam-5678	78	5	u	u	NOUN
ejpam-5678	78	6	,	,	PUNCT
ejpam-5678	78	7	y	y	PROPN
ejpam-5678	78	8	,	,	PUNCT
ejpam-5678	78	9	t	t	PROPN
ejpam-5678	78	10	,	,	PUNCT
ejpam-5678	78	11	τ	τ	PROPN
ejpam-5678	78	12	)	)	PUNCT
ejpam-5678	78	13	,	,	PUNCT
ejpam-5678	78	14	in	in	ADP
ejpam-5678	78	15	which	which	PRON
ejpam-5678	78	16	fω(s	fω(s	NOUN
ejpam-5678	78	17	,	,	PUNCT
ejpam-5678	78	18	r	r	NOUN
ejpam-5678	78	19	,	,	PUNCT
ejpam-5678	78	20	u	u	NOUN
ejpam-5678	78	21	,	,	PUNCT
ejpam-5678	78	22	y	y	PROPN
ejpam-5678	78	23	,	,	PUNCT
ejpam-5678	78	24	t	t	PROPN
ejpam-5678	78	25	,	,	PUNCT
ejpam-5678	78	26	τ	τ	PROPN
ejpam-5678	78	27	)	)	PUNCT
ejpam-5678	78	28	the	the	DET
ejpam-5678	78	29	family	family	NOUN
ejpam-5678	78	30	of	of	ADP
ejpam-5678	78	31	functions	function	NOUN
ejpam-5678	78	32	l	l	NOUN
ejpam-5678	78	33	∈	∈	PROPN
ejpam-5678	78	34	ω	ω	PROPN
ejpam-5678	78	35	and	and	CCONJ
ejpam-5678	78	36	satisfying	satisfy	VERB
ejpam-5678	78	37	the	the	DET
ejpam-5678	78	38	below	below	ADJ
ejpam-5678	78	39	conditions	condition	NOUN
ejpam-5678	78	40	(	(	PUNCT
ejpam-5678	78	41	1−	1−	NUM
ejpam-5678	78	42	τ	τ	NOUN
ejpam-5678	78	43	)	)	PUNCT
ejpam-5678	78	44	el(℘	el(℘	PROPN
ejpam-5678	78	45	)	)	PUNCT
ejpam-5678	78	46	℘	℘	PROPN
ejpam-5678	78	47	+	+	PRON
ejpam-5678	78	48	τ	τ	X
ejpam-5678	78	49	(	(	PUNCT
ejpam-5678	78	50	el(℘))′	el(℘))′	PROPN
ejpam-5678	78	51	≺	≺	VERB
ejpam-5678	78	52	υ(y	υ(y	PROPN
ejpam-5678	78	53	,	,	PUNCT
ejpam-5678	78	54	℘	℘	PROPN
ejpam-5678	78	55	)	)	PUNCT
ejpam-5678	78	56	+	+	NUM
ejpam-5678	78	57	1−	1−	NUM
ejpam-5678	78	58	s	s	PART
ejpam-5678	78	59	and	and	CCONJ
ejpam-5678	78	60	(	(	PUNCT
ejpam-5678	78	61	1−	1−	NUM
ejpam-5678	78	62	τ	τ	NOUN
ejpam-5678	78	63	)	)	PUNCT
ejpam-5678	78	64	ev	ev	X
ejpam-5678	78	65	(	(	PUNCT
ejpam-5678	78	66	ϖ	ϖ	NOUN
ejpam-5678	78	67	)	)	PUNCT
ejpam-5678	78	68	ϖ	ϖ	PROPN
ejpam-5678	79	1	+	+	CCONJ
ejpam-5678	79	2	τ	τ	X
ejpam-5678	79	3	(	(	PUNCT
ejpam-5678	79	4	ev	ev	X
ejpam-5678	79	5	(	(	PUNCT
ejpam-5678	79	6	ϖ))′	ϖ))′	PROPN
ejpam-5678	79	7	≺	≺	NOUN
ejpam-5678	79	8	υ(y,ϖ	υ(y,ϖ	NUM
ejpam-5678	79	9	)	)	PUNCT
ejpam-5678	80	1	+	+	CCONJ
ejpam-5678	80	2	1−	1−	NUM
ejpam-5678	80	3	s	s	NOUN
ejpam-5678	80	4	,	,	PUNCT
ejpam-5678	80	5	where	where	SCONJ
ejpam-5678	80	6	℘,ϖ	℘,ϖ	PROPN
ejpam-5678	80	7	∈	∈	PROPN
ejpam-5678	80	8	θ	θ	PROPN
ejpam-5678	80	9	,	,	PUNCT
ejpam-5678	80	10	τ	τ	PROPN
ejpam-5678	80	11	≥	≥	NOUN
ejpam-5678	80	12	0	0	NUM
ejpam-5678	80	13	,	,	PUNCT
ejpam-5678	80	14	y	y	PROPN
ejpam-5678	80	15	∈	∈	PROPN
ejpam-5678	80	16	r.	r.	PROPN
ejpam-5678	80	17	t.	t.	PROPN
ejpam-5678	80	18	al	al	PROPN
ejpam-5678	80	19	-	-	PUNCT
ejpam-5678	80	20	hawary	hawary	PROPN
ejpam-5678	80	21	et	et	PROPN
ejpam-5678	80	22	al	al	PROPN
ejpam-5678	80	23	.	.	PUNCT
ejpam-5678	80	24	/	/	SYM
ejpam-5678	80	25	eur	eur	PROPN
ejpam-5678	80	26	.	.	PUNCT
ejpam-5678	81	1	j.	j.	PROPN
ejpam-5678	81	2	pure	pure	PROPN
ejpam-5678	81	3	appl	appl	PROPN
ejpam-5678	81	4	.	.	PROPN
ejpam-5678	81	5	math	math	PROPN
ejpam-5678	81	6	,	,	PUNCT
ejpam-5678	81	7	18	18	NUM
ejpam-5678	81	8	(	(	PUNCT
ejpam-5678	81	9	1	1	NUM
ejpam-5678	81	10	)	)	PUNCT
ejpam-5678	81	11	(	(	PUNCT
ejpam-5678	81	12	2025	2025	NUM
ejpam-5678	81	13	)	)	PUNCT
ejpam-5678	81	14	,	,	PUNCT
ejpam-5678	81	15	5678	5678	NUM
ejpam-5678	81	16	5	5	NUM
ejpam-5678	81	17	of	of	ADP
ejpam-5678	81	18	12	12	NUM
ejpam-5678	81	19	example	example	NOUN
ejpam-5678	81	20	2	2	NUM
ejpam-5678	81	21	.	.	X
ejpam-5678	82	1	for	for	ADP
ejpam-5678	82	2	λ	λ	PROPN
ejpam-5678	82	3	=	=	SYM
ejpam-5678	82	4	0	0	NUM
ejpam-5678	82	5	and	and	CCONJ
ejpam-5678	82	6	τ	τ	X
ejpam-5678	82	7	=	=	SYM
ejpam-5678	82	8	1	1	NUM
ejpam-5678	82	9	,	,	PUNCT
ejpam-5678	82	10	we	we	PRON
ejpam-5678	82	11	have	have	VERB
ejpam-5678	82	12	,	,	PUNCT
ejpam-5678	82	13	fω(s	fω(s	PROPN
ejpam-5678	82	14	,	,	PUNCT
ejpam-5678	82	15	r	r	NOUN
ejpam-5678	82	16	,	,	PUNCT
ejpam-5678	82	17	u	u	NOUN
ejpam-5678	82	18	,	,	PUNCT
ejpam-5678	82	19	y	y	PROPN
ejpam-5678	82	20	,	,	PUNCT
ejpam-5678	82	21	t	t	PROPN
ejpam-5678	82	22	,	,	PUNCT
ejpam-5678	82	23	1	1	NUM
ejpam-5678	82	24	)	)	PUNCT
ejpam-5678	82	25	=	=	SYM
ejpam-5678	83	1	fω(s	fω(s	PROPN
ejpam-5678	83	2	,	,	PUNCT
ejpam-5678	83	3	r	r	NOUN
ejpam-5678	83	4	,	,	PUNCT
ejpam-5678	83	5	u	u	NOUN
ejpam-5678	83	6	,	,	PUNCT
ejpam-5678	83	7	y	y	PROPN
ejpam-5678	83	8	,	,	PUNCT
ejpam-5678	83	9	t	t	PROPN
ejpam-5678	83	10	)	)	PUNCT
ejpam-5678	83	11	,	,	PUNCT
ejpam-5678	83	12	in	in	ADP
ejpam-5678	83	13	which	which	PRON
ejpam-5678	83	14	fω(s	fω(s	NOUN
ejpam-5678	83	15	,	,	PUNCT
ejpam-5678	83	16	r	r	NOUN
ejpam-5678	83	17	,	,	PUNCT
ejpam-5678	83	18	u	u	NOUN
ejpam-5678	83	19	,	,	PUNCT
ejpam-5678	83	20	y	y	PROPN
ejpam-5678	83	21	,	,	PUNCT
ejpam-5678	83	22	t	t	PROPN
ejpam-5678	83	23	)	)	PUNCT
ejpam-5678	83	24	the	the	DET
ejpam-5678	83	25	family	family	NOUN
ejpam-5678	83	26	of	of	ADP
ejpam-5678	83	27	functions	function	NOUN
ejpam-5678	83	28	l	l	NOUN
ejpam-5678	83	29	∈	∈	PROPN
ejpam-5678	83	30	ω	ω	PROPN
ejpam-5678	83	31	and	and	CCONJ
ejpam-5678	83	32	satisfying	satisfy	VERB
ejpam-5678	83	33	the	the	DET
ejpam-5678	83	34	below	below	ADJ
ejpam-5678	83	35	conditions	condition	NOUN
ejpam-5678	83	36	and	and	CCONJ
ejpam-5678	83	37	(	(	PUNCT
ejpam-5678	83	38	ev	ev	X
ejpam-5678	83	39	(	(	PUNCT
ejpam-5678	83	40	ϖ))′	ϖ))′	PROPN
ejpam-5678	83	41	≺	≺	NOUN
ejpam-5678	83	42	υ(y,ϖ	υ(y,ϖ	NUM
ejpam-5678	83	43	)	)	PUNCT
ejpam-5678	84	1	+	+	CCONJ
ejpam-5678	84	2	1−	1−	NUM
ejpam-5678	84	3	s	s	NOUN
ejpam-5678	84	4	,	,	PUNCT
ejpam-5678	84	5	where	where	SCONJ
ejpam-5678	84	6	℘,ϖ	℘,ϖ	PROPN
ejpam-5678	84	7	∈	∈	PROPN
ejpam-5678	84	8	θ	θ	PROPN
ejpam-5678	84	9	,	,	PUNCT
ejpam-5678	84	10	y	y	PROPN
ejpam-5678	84	11	∈	∈	PROPN
ejpam-5678	84	12	r.	r.	PROPN
ejpam-5678	84	13	example	example	NOUN
ejpam-5678	84	14	3	3	NUM
ejpam-5678	84	15	.	.	X
ejpam-5678	85	1	for	for	ADP
ejpam-5678	85	2	λ	λ	PROPN
ejpam-5678	85	3	=	=	SYM
ejpam-5678	85	4	0	0	NUM
ejpam-5678	85	5	and	and	CCONJ
ejpam-5678	85	6	τ	τ	X
ejpam-5678	85	7	=	=	SYM
ejpam-5678	85	8	0	0	PROPN
ejpam-5678	85	9	,	,	PUNCT
ejpam-5678	85	10	we	we	PRON
ejpam-5678	85	11	have	have	VERB
ejpam-5678	85	12	,	,	PUNCT
ejpam-5678	85	13	fω(s	fω(s	PROPN
ejpam-5678	85	14	,	,	PUNCT
ejpam-5678	85	15	r	r	NOUN
ejpam-5678	85	16	,	,	PUNCT
ejpam-5678	85	17	u	u	NOUN
ejpam-5678	85	18	,	,	PUNCT
ejpam-5678	85	19	y	y	PROPN
ejpam-5678	85	20	,	,	PUNCT
ejpam-5678	85	21	t	t	PROPN
ejpam-5678	85	22	,	,	PUNCT
ejpam-5678	85	23	0	0	NUM
ejpam-5678	85	24	,	,	PUNCT
ejpam-5678	85	25	0	0	NUM
ejpam-5678	85	26	)	)	PUNCT
ejpam-5678	85	27	=	=	SYM
ejpam-5678	86	1	fω(s	fω(s	PROPN
ejpam-5678	86	2	,	,	PUNCT
ejpam-5678	86	3	r	r	NOUN
ejpam-5678	86	4	,	,	PUNCT
ejpam-5678	86	5	u	u	NOUN
ejpam-5678	86	6	,	,	PUNCT
ejpam-5678	86	7	y	y	PROPN
ejpam-5678	86	8	,	,	PUNCT
ejpam-5678	86	9	t	t	PROPN
ejpam-5678	86	10	,	,	PUNCT
ejpam-5678	86	11	0	0	NUM
ejpam-5678	86	12	)	)	PUNCT
ejpam-5678	86	13	,	,	PUNCT
ejpam-5678	86	14	in	in	ADP
ejpam-5678	86	15	which	which	PRON
ejpam-5678	86	16	fω(s	fω(s	NOUN
ejpam-5678	86	17	,	,	PUNCT
ejpam-5678	86	18	r	r	NOUN
ejpam-5678	86	19	,	,	PUNCT
ejpam-5678	86	20	u	u	NOUN
ejpam-5678	86	21	,	,	PUNCT
ejpam-5678	86	22	y	y	PROPN
ejpam-5678	86	23	,	,	PUNCT
ejpam-5678	86	24	t	t	PROPN
ejpam-5678	86	25	,	,	PUNCT
ejpam-5678	86	26	0	0	NUM
ejpam-5678	86	27	)	)	PUNCT
ejpam-5678	86	28	the	the	DET
ejpam-5678	86	29	family	family	NOUN
ejpam-5678	86	30	of	of	ADP
ejpam-5678	86	31	functions	function	NOUN
ejpam-5678	86	32	l	l	NOUN
ejpam-5678	86	33	∈	∈	PROPN
ejpam-5678	86	34	ω	ω	PROPN
ejpam-5678	86	35	and	and	CCONJ
ejpam-5678	86	36	satisfying	satisfy	VERB
ejpam-5678	86	37	the	the	DET
ejpam-5678	86	38	below	below	ADJ
ejpam-5678	86	39	conditions	condition	NOUN
ejpam-5678	86	40	el(℘	el(℘	NOUN
ejpam-5678	86	41	)	)	PUNCT
ejpam-5678	86	42	℘	℘	PROPN
ejpam-5678	86	43	≺	≺	NOUN
ejpam-5678	86	44	υ(y	υ(y	PROPN
ejpam-5678	86	45	,	,	PUNCT
ejpam-5678	86	46	℘	℘	PROPN
ejpam-5678	86	47	)	)	PUNCT
ejpam-5678	86	48	+	+	NUM
ejpam-5678	86	49	1−	1−	NUM
ejpam-5678	86	50	s	s	NOUN
ejpam-5678	86	51	and	and	CCONJ
ejpam-5678	86	52	ev	ev	INTJ
ejpam-5678	86	53	(	(	PUNCT
ejpam-5678	86	54	ϖ	ϖ	NOUN
ejpam-5678	86	55	)	)	PUNCT
ejpam-5678	86	56	ϖ	ϖ	NOUN
ejpam-5678	86	57	≺	≺	NOUN
ejpam-5678	86	58	υ(y,ϖ	υ(y,ϖ	NUM
ejpam-5678	86	59	)	)	PUNCT
ejpam-5678	87	1	+	+	CCONJ
ejpam-5678	87	2	1−	1−	NUM
ejpam-5678	87	3	s	s	NOUN
ejpam-5678	87	4	,	,	PUNCT
ejpam-5678	87	5	where	where	SCONJ
ejpam-5678	87	6	℘,ϖ	℘,ϖ	PROPN
ejpam-5678	87	7	∈	∈	PROPN
ejpam-5678	87	8	θ	θ	PROPN
ejpam-5678	87	9	,	,	PUNCT
ejpam-5678	87	10	y	y	PROPN
ejpam-5678	87	11	∈	∈	PROPN
ejpam-5678	87	12	r.	r.	PROPN
ejpam-5678	87	13	example	example	NOUN
ejpam-5678	87	14	4	4	NUM
ejpam-5678	87	15	.	.	X
ejpam-5678	88	1	for	for	ADP
ejpam-5678	88	2	s	s	NOUN
ejpam-5678	88	3	=	=	SYM
ejpam-5678	88	4	u	u	NOUN
ejpam-5678	88	5	=	=	NOUN
ejpam-5678	88	6	1	1	NUM
ejpam-5678	88	7	and	and	CCONJ
ejpam-5678	88	8	t	t	NOUN
ejpam-5678	88	9	=	=	SYM
ejpam-5678	88	10	r	r	NOUN
ejpam-5678	88	11	=	=	SYM
ejpam-5678	88	12	2	2	NUM
ejpam-5678	88	13	,	,	PUNCT
ejpam-5678	88	14	we	we	PRON
ejpam-5678	88	15	have	have	VERB
ejpam-5678	88	16	,	,	PUNCT
ejpam-5678	88	17	fω(1	fω(1	PROPN
ejpam-5678	88	18	,	,	PUNCT
ejpam-5678	88	19	2	2	NUM
ejpam-5678	88	20	,	,	PUNCT
ejpam-5678	88	21	1	1	NUM
ejpam-5678	88	22	,	,	PUNCT
ejpam-5678	88	23	y	y	PROPN
ejpam-5678	88	24	,	,	PUNCT
ejpam-5678	88	25	2	2	NUM
ejpam-5678	88	26	,	,	PUNCT
ejpam-5678	88	27	λ	λ	PROPN
ejpam-5678	88	28	,	,	PUNCT
ejpam-5678	88	29	τ	τ	X
ejpam-5678	88	30	)	)	PUNCT
ejpam-5678	88	31	the	the	DET
ejpam-5678	88	32	family	family	NOUN
ejpam-5678	88	33	of	of	ADP
ejpam-5678	88	34	functions	function	NOUN
ejpam-5678	88	35	l	l	NOUN
ejpam-5678	88	36	∈	∈	PROPN
ejpam-5678	88	37	ω	ω	PROPN
ejpam-5678	88	38	and	and	CCONJ
ejpam-5678	88	39	satisfying	satisfy	VERB
ejpam-5678	88	40	the	the	DET
ejpam-5678	88	41	below	below	ADJ
ejpam-5678	88	42	conditions	condition	NOUN
ejpam-5678	88	43	(	(	PUNCT
ejpam-5678	88	44	1−	1−	NUM
ejpam-5678	88	45	τ	τ	NOUN
ejpam-5678	88	46	)	)	PUNCT
ejpam-5678	88	47	plα(℘	plα(℘	NOUN
ejpam-5678	88	48	)	)	PUNCT
ejpam-5678	88	49	℘	℘	PROPN
ejpam-5678	88	50	+	+	PRON
ejpam-5678	88	51	τ	τ	PROPN
ejpam-5678	88	52	(	(	PUNCT
ejpam-5678	88	53	plα(℘	plα(℘	NOUN
ejpam-5678	88	54	)	)	PUNCT
ejpam-5678	88	55	)	)	PUNCT
ejpam-5678	88	56	′	′	PUNCT
ejpam-5678	89	1	+	+	CCONJ
ejpam-5678	89	2	λ℘	λ℘	X
ejpam-5678	89	3	(	(	PUNCT
ejpam-5678	89	4	plα(℘	plα(℘	NOUN
ejpam-5678	89	5	)	)	PUNCT
ejpam-5678	89	6	)	)	PUNCT
ejpam-5678	90	1	′′	′′	PROPN
ejpam-5678	90	2	≺	≺	NOUN
ejpam-5678	90	3	υ(y	υ(y	PROPN
ejpam-5678	90	4	,	,	PUNCT
ejpam-5678	90	5	℘	℘	PROPN
ejpam-5678	90	6	)	)	PUNCT
ejpam-5678	90	7	+	+	NUM
ejpam-5678	90	8	1−	1−	NUM
ejpam-5678	90	9	s	s	PART
ejpam-5678	90	10	and	and	CCONJ
ejpam-5678	90	11	(	(	PUNCT
ejpam-5678	90	12	1−	1−	NUM
ejpam-5678	90	13	τ	τ	NOUN
ejpam-5678	90	14	)	)	PUNCT
ejpam-5678	90	15	pvα(ϖ	pvα(ϖ	NOUN
ejpam-5678	90	16	)	)	PUNCT
ejpam-5678	90	17	ϖ	ϖ	PROPN
ejpam-5678	91	1	+	+	CCONJ
ejpam-5678	91	2	τ	τ	X
ejpam-5678	91	3	(	(	PUNCT
ejpam-5678	91	4	pvα(ϖ))′	pvα(ϖ))′	NOUN
ejpam-5678	91	5	+	+	X
ejpam-5678	91	6	λϖ	λϖ	PROPN
ejpam-5678	91	7	(	(	PUNCT
ejpam-5678	91	8	pvα(ϖ))′′	pvα(ϖ))′′	NOUN
ejpam-5678	91	9	≺	≺	NOUN
ejpam-5678	91	10	υ(y,ϖ	υ(y,ϖ	NUM
ejpam-5678	91	11	)	)	PUNCT
ejpam-5678	91	12	+	+	CCONJ
ejpam-5678	91	13	1−	1−	NUM
ejpam-5678	91	14	s	s	NOUN
ejpam-5678	91	15	,	,	PUNCT
ejpam-5678	91	16	where	where	SCONJ
ejpam-5678	91	17	℘,ϖ	℘,ϖ	PROPN
ejpam-5678	91	18	∈	∈	PROPN
ejpam-5678	91	19	θ	θ	PROPN
ejpam-5678	91	20	,	,	PUNCT
ejpam-5678	91	21	τ	τ	X
ejpam-5678	91	22	,	,	PUNCT
ejpam-5678	91	23	λ	λ	X
ejpam-5678	91	24	≥	≥	NOUN
ejpam-5678	91	25	0	0	NUM
ejpam-5678	91	26	,	,	PUNCT
ejpam-5678	91	27	y	y	PROPN
ejpam-5678	91	28	∈	∈	PROPN
ejpam-5678	91	29	r.	r.	PROPN
ejpam-5678	91	30	recently	recently	ADV
ejpam-5678	91	31	,	,	PUNCT
ejpam-5678	91	32	many	many	ADJ
ejpam-5678	91	33	researchers	researcher	NOUN
ejpam-5678	91	34	have	have	AUX
ejpam-5678	91	35	examined	examine	VERB
ejpam-5678	91	36	bi	bi	ADJ
ejpam-5678	91	37	-	-	ADJ
ejpam-5678	91	38	univalent	univalent	ADJ
ejpam-5678	91	39	functions	function	NOUN
ejpam-5678	91	40	associated	associate	VERB
ejpam-5678	91	41	with	with	ADP
ejpam-5678	91	42	orthogonal	orthogonal	ADJ
ejpam-5678	91	43	polynomials	polynomial	NOUN
ejpam-5678	91	44	and	and	CCONJ
ejpam-5678	91	45	found	find	VERB
ejpam-5678	91	46	non	non	ADJ
ejpam-5678	91	47	-	-	ADJ
ejpam-5678	91	48	sharp	sharp	ADJ
ejpam-5678	91	49	estimates	estimate	NOUN
ejpam-5678	91	50	on	on	ADP
ejpam-5678	91	51	maclaurin	maclaurin	NOUN
ejpam-5678	91	52	coefficients	coefficient	NOUN
ejpam-5678	91	53	|c2|	|c2|	NOUN
ejpam-5678	91	54	and	and	CCONJ
ejpam-5678	91	55	|c3|	|c3|	ADJ
ejpam-5678	91	56	(	(	PUNCT
ejpam-5678	91	57	for	for	ADP
ejpam-5678	91	58	details	detail	NOUN
ejpam-5678	91	59	,	,	PUNCT
ejpam-5678	91	60	see	see	VERB
ejpam-5678	91	61	[	[	X
ejpam-5678	91	62	4]-[23	4]-[23	NOUN
ejpam-5678	91	63	]	]	PUNCT
ejpam-5678	91	64	)	)	PUNCT
ejpam-5678	91	65	.	.	PUNCT
ejpam-5678	92	1	in	in	ADP
ejpam-5678	92	2	[	[	X
ejpam-5678	92	3	14	14	NUM
ejpam-5678	92	4	]	]	PUNCT
ejpam-5678	92	5	,	,	PUNCT
ejpam-5678	92	6	fekete	fekete	PROPN
ejpam-5678	92	7	and	and	CCONJ
ejpam-5678	92	8	szegö	szegö	PROPN
ejpam-5678	92	9	validated	validate	VERB
ejpam-5678	92	10	the	the	DET
ejpam-5678	92	11	following	follow	VERB
ejpam-5678	92	12	inequality	inequality	NOUN
ejpam-5678	92	13	∣∣c3	∣∣c3	NOUN
ejpam-5678	92	14	−	−	PROPN
ejpam-5678	92	15	φc22	φc22	PROPN
ejpam-5678	92	16	∣∣	∣∣	PUNCT
ejpam-5678	92	17	≤	≤	ADV
ejpam-5678	92	18	1	1	NUM
ejpam-5678	92	19	+	+	NUM
ejpam-5678	92	20	2e	2e	NUM
ejpam-5678	92	21	(	(	PUNCT
ejpam-5678	92	22	−2φ	−2φ	PROPN
ejpam-5678	92	23	1−φ	1−φ	NUM
ejpam-5678	92	24	)	)	PUNCT
ejpam-5678	92	25	for	for	ADP
ejpam-5678	92	26	all	all	PRON
ejpam-5678	92	27	normalized	normalize	VERB
ejpam-5678	92	28	univalent	univalent	ADJ
ejpam-5678	92	29	function	function	NOUN
ejpam-5678	92	30	l	l	NOUN
ejpam-5678	92	31	and	and	CCONJ
ejpam-5678	92	32	φ	φ	PROPN
ejpam-5678	92	33	∈	∈	PROPN
ejpam-5678	93	1	[	[	X
ejpam-5678	93	2	0	0	NUM
ejpam-5678	93	3	,	,	PUNCT
ejpam-5678	93	4	1	1	NUM
ejpam-5678	93	5	]	]	PUNCT
ejpam-5678	93	6	.	.	PUNCT
ejpam-5678	94	1	this	this	DET
ejpam-5678	94	2	inequality	inequality	NOUN
ejpam-5678	94	3	is	be	AUX
ejpam-5678	94	4	sharp	sharp	ADJ
ejpam-5678	94	5	for	for	SCONJ
ejpam-5678	94	6	each	each	DET
ejpam-5678	94	7	φ	φ	PROPN
ejpam-5678	94	8	(	(	PUNCT
ejpam-5678	94	9	see	see	VERB
ejpam-5678	94	10	[	[	X
ejpam-5678	94	11	17]-[24	17]-[24	NUM
ejpam-5678	94	12	]	]	X
ejpam-5678	94	13	)	)	PUNCT
ejpam-5678	94	14	.	.	PUNCT
ejpam-5678	95	1	recent	recent	ADJ
ejpam-5678	95	2	years	year	NOUN
ejpam-5678	95	3	have	have	AUX
ejpam-5678	95	4	seen	see	VERB
ejpam-5678	95	5	a	a	DET
ejpam-5678	95	6	number	number	NOUN
ejpam-5678	95	7	of	of	ADP
ejpam-5678	95	8	studies	study	NOUN
ejpam-5678	95	9	use	use	VERB
ejpam-5678	95	10	many	many	ADJ
ejpam-5678	95	11	special	special	ADJ
ejpam-5678	95	12	functions	function	NOUN
ejpam-5678	95	13	,	,	PUNCT
ejpam-5678	95	14	such	such	ADJ
ejpam-5678	95	15	as	as	ADP
ejpam-5678	95	16	the	the	DET
ejpam-5678	95	17	borel	borel	NOUN
ejpam-5678	95	18	,	,	PUNCT
ejpam-5678	95	19	poisson	poisson	PROPN
ejpam-5678	95	20	,	,	PUNCT
ejpam-5678	95	21	rabotnov	rabotnov	NOUN
ejpam-5678	95	22	,	,	PUNCT
ejpam-5678	95	23	pascal	pascal	PROPN
ejpam-5678	95	24	,	,	PUNCT
ejpam-5678	95	25	wright	wright	PROPN
ejpam-5678	95	26	and	and	CCONJ
ejpam-5678	95	27	bessel	bessel	NOUN
ejpam-5678	95	28	,	,	PUNCT
ejpam-5678	95	29	to	to	PART
ejpam-5678	95	30	examine	examine	VERB
ejpam-5678	95	31	important	important	ADJ
ejpam-5678	95	32	aspects	aspect	NOUN
ejpam-5678	95	33	of	of	ADP
ejpam-5678	95	34	geometric	geometric	ADJ
ejpam-5678	95	35	function	function	NOUN
ejpam-5678	95	36	theory	theory	NOUN
ejpam-5678	95	37	,	,	PUNCT
ejpam-5678	95	38	such	such	ADJ
ejpam-5678	95	39	as	as	ADP
ejpam-5678	95	40	coefficient	coefficient	NOUN
ejpam-5678	95	41	estimates	estimate	NOUN
ejpam-5678	95	42	,	,	PUNCT
ejpam-5678	95	43	inclusion	inclusion	NOUN
ejpam-5678	95	44	relations	relation	NOUN
ejpam-5678	95	45	,	,	PUNCT
ejpam-5678	95	46	and	and	CCONJ
ejpam-5678	95	47	requirements	requirement	NOUN
ejpam-5678	95	48	for	for	ADP
ejpam-5678	95	49	belonging	belong	VERB
ejpam-5678	95	50	to	to	ADP
ejpam-5678	95	51	particular	particular	ADJ
ejpam-5678	95	52	families	family	NOUN
ejpam-5678	95	53	(	(	PUNCT
ejpam-5678	95	54	see	see	VERB
ejpam-5678	95	55	,	,	PUNCT
ejpam-5678	95	56	[	[	X
ejpam-5678	95	57	1]-[3	1]-[3	NUM
ejpam-5678	95	58	]	]	PUNCT
ejpam-5678	95	59	,	,	PUNCT
ejpam-5678	95	60	[	[	X
ejpam-5678	95	61	6]-[7	6]-[7	NOUN
ejpam-5678	95	62	]	]	X
ejpam-5678	95	63	)	)	PUNCT
ejpam-5678	95	64	.	.	PUNCT
ejpam-5678	96	1	this	this	DET
ejpam-5678	96	2	article	article	NOUN
ejpam-5678	96	3	content	content	NOUN
ejpam-5678	96	4	is	be	AUX
ejpam-5678	96	5	arranged	arrange	VERB
ejpam-5678	96	6	as	as	SCONJ
ejpam-5678	96	7	follows	follow	VERB
ejpam-5678	96	8	.	.	PUNCT
ejpam-5678	97	1	in	in	ADP
ejpam-5678	97	2	section	section	NOUN
ejpam-5678	97	3	2	2	NUM
ejpam-5678	97	4	we	we	PRON
ejpam-5678	97	5	giving	give	VERB
ejpam-5678	97	6	bounds	bound	NOUN
ejpam-5678	97	7	for	for	ADP
ejpam-5678	97	8	the	the	DET
ejpam-5678	97	9	coefficients	coefficient	NOUN
ejpam-5678	97	10	|c2|	|c2|	NOUN
ejpam-5678	97	11	and	and	CCONJ
ejpam-5678	97	12	|c3|	|c3|	VERB
ejpam-5678	97	13	in	in	ADP
ejpam-5678	97	14	the	the	DET
ejpam-5678	97	15	maclaurin	maclaurin	NOUN
ejpam-5678	97	16	expansions	expansion	NOUN
ejpam-5678	97	17	and	and	CCONJ
ejpam-5678	97	18	estimation	estimation	NOUN
ejpam-5678	97	19	of	of	ADP
ejpam-5678	97	20	fekete	fekete	PROPN
ejpam-5678	97	21	–	–	PUNCT
ejpam-5678	97	22	szegö	szegö	ADJ
ejpam-5678	97	23	inequality	inequality	NOUN
ejpam-5678	97	24	for	for	ADP
ejpam-5678	97	25	functions	function	NOUN
ejpam-5678	97	26	in	in	ADP
ejpam-5678	97	27	the	the	DET
ejpam-5678	97	28	family	family	NOUN
ejpam-5678	97	29	fω(s	fω(s	PROPN
ejpam-5678	97	30	,	,	PUNCT
ejpam-5678	97	31	r	r	NOUN
ejpam-5678	97	32	,	,	PUNCT
ejpam-5678	97	33	u	u	NOUN
ejpam-5678	97	34	,	,	PUNCT
ejpam-5678	97	35	y	y	PROPN
ejpam-5678	97	36	,	,	PUNCT
ejpam-5678	97	37	t	t	PROPN
ejpam-5678	97	38	,	,	PUNCT
ejpam-5678	97	39	λ	λ	PROPN
ejpam-5678	97	40	,	,	PUNCT
ejpam-5678	97	41	τ	τ	PROPN
ejpam-5678	97	42	)	)	PUNCT
ejpam-5678	97	43	.	.	PUNCT
ejpam-5678	98	1	section	section	NOUN
ejpam-5678	98	2	3	3	NUM
ejpam-5678	98	3	pertinent	pertinent	ADJ
ejpam-5678	98	4	links	link	NOUN
ejpam-5678	98	5	between	between	ADP
ejpam-5678	98	6	some	some	PRON
ejpam-5678	98	7	of	of	ADP
ejpam-5678	98	8	the	the	DET
ejpam-5678	98	9	particular	particular	ADJ
ejpam-5678	98	10	cases	case	NOUN
ejpam-5678	98	11	of	of	ADP
ejpam-5678	98	12	the	the	DET
ejpam-5678	98	13	main	main	ADJ
ejpam-5678	98	14	results	result	NOUN
ejpam-5678	98	15	are	be	AUX
ejpam-5678	98	16	highlighted	highlight	VERB
ejpam-5678	98	17	.	.	PUNCT
ejpam-5678	99	1	section	section	NOUN
ejpam-5678	99	2	4	4	NUM
ejpam-5678	99	3	concludes	conclude	VERB
ejpam-5678	99	4	the	the	DET
ejpam-5678	99	5	study	study	NOUN
ejpam-5678	99	6	with	with	ADP
ejpam-5678	99	7	a	a	DET
ejpam-5678	99	8	few	few	ADJ
ejpam-5678	99	9	observations	observation	NOUN
ejpam-5678	99	10	.	.	PUNCT
ejpam-5678	100	1	t.	t.	PROPN
ejpam-5678	100	2	al	al	PROPN
ejpam-5678	100	3	-	-	PUNCT
ejpam-5678	100	4	hawary	hawary	PROPN
ejpam-5678	100	5	et	et	PROPN
ejpam-5678	100	6	al	al	PROPN
ejpam-5678	100	7	.	.	PUNCT
ejpam-5678	100	8	/	/	SYM
ejpam-5678	100	9	eur	eur	PROPN
ejpam-5678	100	10	.	.	PUNCT
ejpam-5678	101	1	j.	j.	PROPN
ejpam-5678	101	2	pure	pure	PROPN
ejpam-5678	101	3	appl	appl	PROPN
ejpam-5678	101	4	.	.	PROPN
ejpam-5678	101	5	math	math	PROPN
ejpam-5678	101	6	,	,	PUNCT
ejpam-5678	101	7	18	18	NUM
ejpam-5678	101	8	(	(	PUNCT
ejpam-5678	101	9	1	1	NUM
ejpam-5678	101	10	)	)	PUNCT
ejpam-5678	101	11	(	(	PUNCT
ejpam-5678	101	12	2025	2025	NUM
ejpam-5678	101	13	)	)	PUNCT
ejpam-5678	101	14	,	,	PUNCT
ejpam-5678	101	15	5678	5678	NUM
ejpam-5678	101	16	6	6	NUM
ejpam-5678	101	17	of	of	ADP
ejpam-5678	101	18	12	12	NUM
ejpam-5678	101	19	2	2	NUM
ejpam-5678	101	20	.	.	PUNCT
ejpam-5678	101	21	bounds	bound	NOUN
ejpam-5678	101	22	of	of	ADP
ejpam-5678	101	23	the	the	DET
ejpam-5678	101	24	family	family	NOUN
ejpam-5678	101	25	fω(s	fω(s	PROPN
ejpam-5678	101	26	,	,	PUNCT
ejpam-5678	101	27	r	r	NOUN
ejpam-5678	101	28	,	,	PUNCT
ejpam-5678	101	29	u	u	NOUN
ejpam-5678	101	30	,	,	PUNCT
ejpam-5678	101	31	y	y	PROPN
ejpam-5678	101	32	,	,	PUNCT
ejpam-5678	101	33	t	t	PROPN
ejpam-5678	101	34	,	,	PUNCT
ejpam-5678	101	35	λ	λ	PROPN
ejpam-5678	101	36	,	,	PUNCT
ejpam-5678	101	37	τ	τ	NOUN
ejpam-5678	101	38	)	)	PUNCT
ejpam-5678	101	39	section	section	NOUN
ejpam-5678	101	40	2	2	NUM
ejpam-5678	101	41	begins	begin	VERB
ejpam-5678	101	42	with	with	ADP
ejpam-5678	101	43	bounds	bound	NOUN
ejpam-5678	101	44	for	for	ADP
ejpam-5678	101	45	the	the	DET
ejpam-5678	101	46	coefficients	coefficient	NOUN
ejpam-5678	101	47	|c2|	|c2|	NOUN
ejpam-5678	101	48	and	and	CCONJ
ejpam-5678	101	49	|c3|	|c3|	VERB
ejpam-5678	101	50	in	in	ADP
ejpam-5678	101	51	the	the	DET
ejpam-5678	101	52	maclaurin	maclaurin	NOUN
ejpam-5678	101	53	expansions	expansion	NOUN
ejpam-5678	101	54	for	for	ADP
ejpam-5678	101	55	functions	function	NOUN
ejpam-5678	101	56	in	in	ADP
ejpam-5678	101	57	the	the	DET
ejpam-5678	101	58	family	family	NOUN
ejpam-5678	101	59	fω(s	fω(s	PROPN
ejpam-5678	101	60	,	,	PUNCT
ejpam-5678	101	61	r	r	NOUN
ejpam-5678	101	62	,	,	PUNCT
ejpam-5678	101	63	u	u	NOUN
ejpam-5678	101	64	,	,	PUNCT
ejpam-5678	101	65	y	y	PROPN
ejpam-5678	101	66	,	,	PUNCT
ejpam-5678	101	67	t	t	PROPN
ejpam-5678	101	68	,	,	PUNCT
ejpam-5678	101	69	λ	λ	PROPN
ejpam-5678	101	70	,	,	PUNCT
ejpam-5678	101	71	τ	τ	PROPN
ejpam-5678	101	72	)	)	PUNCT
ejpam-5678	101	73	.	.	PUNCT
ejpam-5678	102	1	theorem	theorem	NOUN
ejpam-5678	102	2	1	1	NUM
ejpam-5678	102	3	.	.	PUNCT
ejpam-5678	103	1	let	let	VERB
ejpam-5678	103	2	l	l	PROPN
ejpam-5678	103	3	∈	∈	PROPN
ejpam-5678	103	4	ω	ω	PROPN
ejpam-5678	103	5	given	give	VERB
ejpam-5678	103	6	by	by	ADP
ejpam-5678	103	7	(	(	PUNCT
ejpam-5678	103	8	5	5	NUM
ejpam-5678	103	9	)	)	PUNCT
ejpam-5678	103	10	belongs	belong	VERB
ejpam-5678	103	11	to	to	ADP
ejpam-5678	103	12	the	the	DET
ejpam-5678	103	13	family	family	NOUN
ejpam-5678	103	14	fω(s	fω(s	PROPN
ejpam-5678	103	15	,	,	PUNCT
ejpam-5678	103	16	r	r	NOUN
ejpam-5678	103	17	,	,	PUNCT
ejpam-5678	103	18	u	u	NOUN
ejpam-5678	103	19	,	,	PUNCT
ejpam-5678	103	20	y	y	PROPN
ejpam-5678	103	21	,	,	PUNCT
ejpam-5678	103	22	t	t	PROPN
ejpam-5678	103	23	,	,	PUNCT
ejpam-5678	103	24	λ	λ	PROPN
ejpam-5678	103	25	,	,	PUNCT
ejpam-5678	103	26	τ	τ	PROPN
ejpam-5678	103	27	)	)	PUNCT
ejpam-5678	103	28	.	.	PUNCT
ejpam-5678	104	1	then	then	ADV
ejpam-5678	104	2	|c2|	|c2|	VERB
ejpam-5678	104	3	≤	≤	NOUN
ejpam-5678	104	4	ty	ty	INTJ
ejpam-5678	105	1	√	√	PROPN
ejpam-5678	105	2	2ty√∣∣∣15	2ty√∣∣∣15	NUM
ejpam-5678	105	3	(	(	PUNCT
ejpam-5678	105	4	6λ+	6λ+	NUM
ejpam-5678	105	5	2τ	2τ	NUM
ejpam-5678	105	6	+	+	CCONJ
ejpam-5678	105	7	1	1	X
ejpam-5678	105	8	)	)	PUNCT
ejpam-5678	106	1	t2y2	t2y2	NOUN
ejpam-5678	106	2	−	−	PROPN
ejpam-5678	106	3	2	2	NUM
ejpam-5678	106	4	9	9	NUM
ejpam-5678	106	5	(	(	PUNCT
ejpam-5678	106	6	2λ+	2λ+	NUM
ejpam-5678	106	7	τ	τ	X
ejpam-5678	106	8	+	+	PROPN
ejpam-5678	106	9	1)2	1)2	NUM
ejpam-5678	106	10	(	(	PUNCT
ejpam-5678	106	11	rty2	rty2	PROPN
ejpam-5678	106	12	+	+	NUM
ejpam-5678	106	13	su	su	NOUN
ejpam-5678	106	14	)	)	PUNCT
ejpam-5678	106	15	∣∣∣	∣∣∣	NOUN
ejpam-5678	106	16	and	and	CCONJ
ejpam-5678	106	17	|c3|	|c3|	ADJ
ejpam-5678	106	18	≤	≤	ADJ
ejpam-5678	106	19	9t2y2	9t2y2	NUM
ejpam-5678	106	20	(	(	PUNCT
ejpam-5678	106	21	2λ+	2λ+	NUM
ejpam-5678	106	22	τ	τ	NOUN
ejpam-5678	106	23	+	+	CCONJ
ejpam-5678	106	24	1)2	1)2	NUM
ejpam-5678	106	25	+	+	CCONJ
ejpam-5678	106	26	10ty	10ty	PROPN
ejpam-5678	106	27	6λ+	6λ+	NUM
ejpam-5678	106	28	2τ	2τ	NUM
ejpam-5678	106	29	+	+	CCONJ
ejpam-5678	106	30	1	1	X
ejpam-5678	106	31	.	.	PUNCT
ejpam-5678	107	1	proof	proof	NOUN
ejpam-5678	107	2	.	.	PUNCT
ejpam-5678	108	1	let	let	VERB
ejpam-5678	108	2	l	l	NOUN
ejpam-5678	108	3	∈	∈	PROPN
ejpam-5678	108	4	fω(s	fω(s	PROPN
ejpam-5678	108	5	,	,	PUNCT
ejpam-5678	108	6	r	r	NOUN
ejpam-5678	108	7	,	,	PUNCT
ejpam-5678	108	8	u	u	NOUN
ejpam-5678	108	9	,	,	PUNCT
ejpam-5678	108	10	y	y	PROPN
ejpam-5678	108	11	,	,	PUNCT
ejpam-5678	108	12	t	t	PROPN
ejpam-5678	108	13	,	,	PUNCT
ejpam-5678	108	14	λ	λ	PROPN
ejpam-5678	108	15	,	,	PUNCT
ejpam-5678	108	16	τ	τ	PROPN
ejpam-5678	108	17	)	)	PUNCT
ejpam-5678	108	18	.	.	PUNCT
ejpam-5678	109	1	from	from	ADP
ejpam-5678	109	2	definition	definition	NOUN
ejpam-5678	109	3	1	1	NUM
ejpam-5678	109	4	,	,	PUNCT
ejpam-5678	109	5	we	we	PRON
ejpam-5678	109	6	can	can	AUX
ejpam-5678	109	7	write	write	VERB
ejpam-5678	109	8	(	(	PUNCT
ejpam-5678	109	9	1−	1−	NUM
ejpam-5678	109	10	τ	τ	NOUN
ejpam-5678	109	11	)	)	PUNCT
ejpam-5678	109	12	el(℘	el(℘	PROPN
ejpam-5678	109	13	)	)	PUNCT
ejpam-5678	109	14	℘	℘	PROPN
ejpam-5678	109	15	+	+	PUNCT
ejpam-5678	109	16	τel′(℘	τel′(℘	X
ejpam-5678	109	17	)	)	PUNCT
ejpam-5678	110	1	+	+	CCONJ
ejpam-5678	110	2	λ℘el′′(℘	λ℘el′′(℘	X
ejpam-5678	110	3	)	)	PUNCT
ejpam-5678	110	4	=	=	SYM
ejpam-5678	110	5	υ(y	υ(y	PROPN
ejpam-5678	110	6	,	,	PUNCT
ejpam-5678	110	7	κ(℘	κ(℘	PROPN
ejpam-5678	110	8	)	)	PUNCT
ejpam-5678	110	9	)	)	PUNCT
ejpam-5678	111	1	+	+	CCONJ
ejpam-5678	111	2	1−	1−	NUM
ejpam-5678	111	3	s	s	X
ejpam-5678	111	4	(	(	PUNCT
ejpam-5678	111	5	13	13	NUM
ejpam-5678	111	6	)	)	PUNCT
ejpam-5678	111	7	and	and	CCONJ
ejpam-5678	111	8	(	(	PUNCT
ejpam-5678	111	9	1−	1−	NUM
ejpam-5678	111	10	τ	τ	NOUN
ejpam-5678	111	11	)	)	PUNCT
ejpam-5678	111	12	ev	ev	X
ejpam-5678	111	13	(	(	PUNCT
ejpam-5678	111	14	ϖ	ϖ	NOUN
ejpam-5678	111	15	)	)	PUNCT
ejpam-5678	111	16	ϖ	ϖ	NOUN
ejpam-5678	112	1	+	+	CCONJ
ejpam-5678	112	2	τev	τev	NOUN
ejpam-5678	112	3	′(ϖ	′(ϖ	PRON
ejpam-5678	112	4	)	)	PUNCT
ejpam-5678	112	5	+	+	CCONJ
ejpam-5678	112	6	λϖev	λϖev	PROPN
ejpam-5678	112	7	′′(ϖ	′′(ϖ	NUM
ejpam-5678	112	8	)	)	PUNCT
ejpam-5678	112	9	=	=	SYM
ejpam-5678	112	10	υ(y	υ(y	PROPN
ejpam-5678	112	11	,	,	PUNCT
ejpam-5678	112	12	τ(ϖ	τ(ϖ	PROPN
ejpam-5678	112	13	)	)	PUNCT
ejpam-5678	112	14	)	)	PUNCT
ejpam-5678	113	1	+	+	CCONJ
ejpam-5678	113	2	1−	1−	NUM
ejpam-5678	113	3	s	s	NOUN
ejpam-5678	113	4	,	,	PUNCT
ejpam-5678	113	5	(	(	PUNCT
ejpam-5678	113	6	14	14	NUM
ejpam-5678	113	7	)	)	PUNCT
ejpam-5678	113	8	where	where	SCONJ
ejpam-5678	113	9	κ	κ	NOUN
ejpam-5678	113	10	and	and	CCONJ
ejpam-5678	113	11	τ	τ	PROPN
ejpam-5678	113	12	are	be	AUX
ejpam-5678	113	13	analytic	analytic	ADJ
ejpam-5678	113	14	and	and	CCONJ
ejpam-5678	113	15	have	have	VERB
ejpam-5678	113	16	the	the	DET
ejpam-5678	113	17	form	form	NOUN
ejpam-5678	113	18	:	:	PUNCT
ejpam-5678	113	19	κ(℘	κ(℘	X
ejpam-5678	113	20	)	)	PUNCT
ejpam-5678	114	1	=	=	SYM
ejpam-5678	114	2	j1℘+	j1℘+	PROPN
ejpam-5678	114	3	j2℘	j2℘	VERB
ejpam-5678	114	4	2	2	NUM
ejpam-5678	114	5	+	+	NUM
ejpam-5678	114	6	j3℘	j3℘	NOUN
ejpam-5678	114	7	3	3	NUM
ejpam-5678	114	8	+	+	NUM
ejpam-5678	114	9	·	·	PUNCT
ejpam-5678	114	10	·	·	PUNCT
ejpam-5678	114	11	·	·	PUNCT
ejpam-5678	114	12	,	,	PUNCT
ejpam-5678	114	13	(	(	PUNCT
ejpam-5678	114	14	℘	℘	PROPN
ejpam-5678	114	15	∈	∈	PROPN
ejpam-5678	114	16	θ	θ	NOUN
ejpam-5678	114	17	)	)	PUNCT
ejpam-5678	114	18	and	and	CCONJ
ejpam-5678	114	19	τ(ϖ	τ(ϖ	NUM
ejpam-5678	114	20	)	)	PUNCT
ejpam-5678	115	1	=	=	PUNCT
ejpam-5678	116	1	d1ϖ	d1ϖ	PROPN
ejpam-5678	116	2	+	+	CCONJ
ejpam-5678	116	3	d2ϖ	d2ϖ	NOUN
ejpam-5678	116	4	2	2	NUM
ejpam-5678	116	5	+	+	CCONJ
ejpam-5678	116	6	d3ϖ	d3ϖ	PROPN
ejpam-5678	116	7	3	3	NUM
ejpam-5678	116	8	+	+	CCONJ
ejpam-5678	116	9	·	·	PUNCT
ejpam-5678	116	10	·	·	PUNCT
ejpam-5678	116	11	·	·	PUNCT
ejpam-5678	116	12	,	,	PUNCT
ejpam-5678	116	13	(	(	PUNCT
ejpam-5678	116	14	ϖ	ϖ	NOUN
ejpam-5678	116	15	∈	∈	PROPN
ejpam-5678	116	16	θ	θ	NOUN
ejpam-5678	116	17	)	)	PUNCT
ejpam-5678	116	18	,	,	PUNCT
ejpam-5678	116	19	such	such	ADJ
ejpam-5678	116	20	that	that	SCONJ
ejpam-5678	116	21	κ(0	κ(0	NOUN
ejpam-5678	116	22	)	)	PUNCT
ejpam-5678	116	23	=	=	SYM
ejpam-5678	117	1	τ(0	τ(0	X
ejpam-5678	117	2	)	)	PUNCT
ejpam-5678	117	3	=	=	SYM
ejpam-5678	117	4	0	0	NUM
ejpam-5678	117	5	and	and	CCONJ
ejpam-5678	117	6	|κ(℘)|	|κ(℘)|	X
ejpam-5678	117	7	<	<	X
ejpam-5678	117	8	1	1	NUM
ejpam-5678	117	9	,	,	PUNCT
ejpam-5678	117	10	|τ(ϖ)|	|τ(ϖ)|	VERB
ejpam-5678	117	11	<	<	X
ejpam-5678	117	12	1	1	NUM
ejpam-5678	117	13	for	for	ADP
ejpam-5678	117	14	all	all	DET
ejpam-5678	117	15	℘,ϖ	℘,ϖ	NOUN
ejpam-5678	117	16	∈	∈	PROPN
ejpam-5678	117	17	θ	θ	NOUN
ejpam-5678	117	18	.	.	PROPN
ejpam-5678	117	19	from	from	ADP
ejpam-5678	117	20	the	the	DET
ejpam-5678	117	21	equalities	equality	NOUN
ejpam-5678	117	22	(	(	PUNCT
ejpam-5678	117	23	13	13	NUM
ejpam-5678	117	24	)	)	PUNCT
ejpam-5678	117	25	and	and	CCONJ
ejpam-5678	117	26	(	(	PUNCT
ejpam-5678	117	27	14	14	NUM
ejpam-5678	117	28	)	)	PUNCT
ejpam-5678	117	29	,	,	PUNCT
ejpam-5678	117	30	we	we	PRON
ejpam-5678	117	31	get	get	VERB
ejpam-5678	117	32	(	(	PUNCT
ejpam-5678	117	33	1−	1−	NUM
ejpam-5678	117	34	τ	τ	NOUN
ejpam-5678	117	35	)	)	PUNCT
ejpam-5678	117	36	el(℘	el(℘	PROPN
ejpam-5678	117	37	)	)	PUNCT
ejpam-5678	117	38	℘	℘	PROPN
ejpam-5678	117	39	+	+	CCONJ
ejpam-5678	117	40	τel′(℘)+λ℘el′′(℘	τel′(℘)+λ℘el′′(℘	ADJ
ejpam-5678	117	41	)	)	PUNCT
ejpam-5678	117	42	=	=	SYM
ejpam-5678	118	1	1+h2(y)j1℘+	1+h2(y)j1℘+	NUM
ejpam-5678	118	2	(	(	PUNCT
ejpam-5678	118	3	h2(y)j2	h2(y)j2	X
ejpam-5678	118	4	+	+	CCONJ
ejpam-5678	118	5	h3(y)j	h3(y)j	NUM
ejpam-5678	118	6	2	2	NUM
ejpam-5678	118	7	1	1	NUM
ejpam-5678	118	8	)	)	PUNCT
ejpam-5678	118	9	℘2	℘2	PROPN
ejpam-5678	118	10	+	+	CCONJ
ejpam-5678	118	11	·	·	PUNCT
ejpam-5678	118	12	·	·	PUNCT
ejpam-5678	118	13	·	·	PUNCT
ejpam-5678	118	14	(	(	PUNCT
ejpam-5678	118	15	15	15	NUM
ejpam-5678	118	16	)	)	PUNCT
ejpam-5678	118	17	and	and	CCONJ
ejpam-5678	118	18	(	(	PUNCT
ejpam-5678	118	19	1−	1−	NUM
ejpam-5678	118	20	τ	τ	NOUN
ejpam-5678	118	21	)	)	PUNCT
ejpam-5678	118	22	ev	ev	X
ejpam-5678	118	23	(	(	PUNCT
ejpam-5678	118	24	ϖ	ϖ	NOUN
ejpam-5678	118	25	)	)	PUNCT
ejpam-5678	118	26	ϖ	ϖ	NOUN
ejpam-5678	119	1	+	+	CCONJ
ejpam-5678	119	2	τev	τev	NOUN
ejpam-5678	119	3	′(ϖ)+λϖev	′(ϖ)+λϖev	PROPN
ejpam-5678	119	4	′′(ϖ	′′(ϖ	PROPN
ejpam-5678	119	5	)	)	PUNCT
ejpam-5678	119	6	=	=	SYM
ejpam-5678	119	7	1+h2(y)d1ϖ+	1+h2(y)d1ϖ+	NUM
ejpam-5678	119	8	(	(	PUNCT
ejpam-5678	119	9	h2(y)d2	h2(y)d2	X
ejpam-5678	119	10	+	+	CCONJ
ejpam-5678	119	11	h3(y)d	h3(y)d	NUM
ejpam-5678	119	12	2	2	NUM
ejpam-5678	119	13	1	1	NUM
ejpam-5678	119	14	)	)	PUNCT
ejpam-5678	119	15	ϖ2	ϖ2	NOUN
ejpam-5678	119	16	+	+	X
ejpam-5678	119	17	·	·	PUNCT
ejpam-5678	119	18	·	·	PUNCT
ejpam-5678	119	19	·	·	PUNCT
ejpam-5678	119	20	.	.	PUNCT
ejpam-5678	120	1	(	(	PUNCT
ejpam-5678	120	2	16	16	NUM
ejpam-5678	120	3	)	)	PUNCT
ejpam-5678	120	4	it	it	PRON
ejpam-5678	120	5	is	be	AUX
ejpam-5678	120	6	common	common	ADJ
ejpam-5678	120	7	knowledge	knowledge	NOUN
ejpam-5678	120	8	that	that	SCONJ
ejpam-5678	120	9	if	if	SCONJ
ejpam-5678	120	10	|κ(℘)|	|κ(℘)|	PROPN
ejpam-5678	120	11	=	=	SYM
ejpam-5678	120	12	∣∣j1℘+	∣∣j1℘+	NOUN
ejpam-5678	120	13	j2℘	j2℘	NOUN
ejpam-5678	120	14	2	2	NUM
ejpam-5678	120	15	+	+	NUM
ejpam-5678	120	16	j3℘	j3℘	NOUN
ejpam-5678	120	17	3	3	NUM
ejpam-5678	120	18	+	+	NUM
ejpam-5678	120	19	·	·	PUNCT
ejpam-5678	120	20	·	·	PUNCT
ejpam-5678	120	21	·	·	PUNCT
ejpam-5678	120	22	∣∣	∣∣	X
ejpam-5678	120	23	<	<	X
ejpam-5678	120	24	1	1	NUM
ejpam-5678	120	25	,	,	PUNCT
ejpam-5678	120	26	(	(	PUNCT
ejpam-5678	120	27	℘	℘	PROPN
ejpam-5678	120	28	∈	∈	PROPN
ejpam-5678	120	29	θ	θ	NOUN
ejpam-5678	120	30	)	)	PUNCT
ejpam-5678	120	31	and	and	CCONJ
ejpam-5678	120	32	|τ(ϖ)|	|τ(ϖ)|	PROPN
ejpam-5678	120	33	=	=	SYM
ejpam-5678	120	34	∣∣d1ϖ	∣∣d1ϖ	PROPN
ejpam-5678	120	35	+	+	PROPN
ejpam-5678	120	36	d2ϖ	d2ϖ	NOUN
ejpam-5678	120	37	2	2	NUM
ejpam-5678	120	38	+	+	CCONJ
ejpam-5678	120	39	d3ϖ	d3ϖ	PROPN
ejpam-5678	120	40	3	3	NUM
ejpam-5678	120	41	+	+	CCONJ
ejpam-5678	120	42	·	·	PUNCT
ejpam-5678	120	43	·	·	PUNCT
ejpam-5678	120	44	·	·	PUNCT
ejpam-5678	120	45	∣∣	∣∣	X
ejpam-5678	120	46	<	<	X
ejpam-5678	120	47	1	1	NUM
ejpam-5678	120	48	,	,	PUNCT
ejpam-5678	120	49	ϖ	ϖ	PROPN
ejpam-5678	120	50	∈	∈	PROPN
ejpam-5678	120	51	θ	θ	PROPN
ejpam-5678	120	52	,	,	PUNCT
ejpam-5678	120	53	then	then	ADV
ejpam-5678	120	54	|ji|	|ji|	PROPN
ejpam-5678	120	55	≤	≤	NOUN
ejpam-5678	120	56	1	1	NUM
ejpam-5678	120	57	and	and	CCONJ
ejpam-5678	120	58	|di|	|di|	PROPN
ejpam-5678	120	59	≤	≤	NUM
ejpam-5678	120	60	1	1	NUM
ejpam-5678	120	61	for	for	ADP
ejpam-5678	120	62	all	all	DET
ejpam-5678	120	63	i	i	PRON
ejpam-5678	120	64	∈	∈	PROPN
ejpam-5678	120	65	n.	n.	NOUN
ejpam-5678	120	66	(	(	PUNCT
ejpam-5678	120	67	17	17	NUM
ejpam-5678	120	68	)	)	PUNCT
ejpam-5678	120	69	t.	t.	PROPN
ejpam-5678	120	70	al	al	PROPN
ejpam-5678	120	71	-	-	PUNCT
ejpam-5678	120	72	hawary	hawary	PROPN
ejpam-5678	120	73	et	et	PROPN
ejpam-5678	120	74	al	al	PROPN
ejpam-5678	120	75	.	.	PUNCT
ejpam-5678	120	76	/	/	SYM
ejpam-5678	120	77	eur	eur	PROPN
ejpam-5678	120	78	.	.	PUNCT
ejpam-5678	121	1	j.	j.	PROPN
ejpam-5678	121	2	pure	pure	PROPN
ejpam-5678	121	3	appl	appl	PROPN
ejpam-5678	121	4	.	.	PROPN
ejpam-5678	121	5	math	math	PROPN
ejpam-5678	121	6	,	,	PUNCT
ejpam-5678	121	7	18	18	NUM
ejpam-5678	121	8	(	(	PUNCT
ejpam-5678	121	9	1	1	NUM
ejpam-5678	121	10	)	)	PUNCT
ejpam-5678	121	11	(	(	PUNCT
ejpam-5678	121	12	2025	2025	NUM
ejpam-5678	121	13	)	)	PUNCT
ejpam-5678	121	14	,	,	PUNCT
ejpam-5678	121	15	5678	5678	NUM
ejpam-5678	121	16	7	7	NUM
ejpam-5678	121	17	of	of	ADP
ejpam-5678	121	18	12	12	NUM
ejpam-5678	121	19	equating	equate	VERB
ejpam-5678	121	20	the	the	DET
ejpam-5678	121	21	coefficients	coefficient	NOUN
ejpam-5678	121	22	of	of	ADP
ejpam-5678	121	23	both	both	DET
ejpam-5678	121	24	sides	side	NOUN
ejpam-5678	121	25	in	in	ADP
ejpam-5678	121	26	(	(	PUNCT
ejpam-5678	121	27	15	15	NUM
ejpam-5678	121	28	)	)	PUNCT
ejpam-5678	121	29	and	and	CCONJ
ejpam-5678	121	30	(	(	PUNCT
ejpam-5678	121	31	16	16	NUM
ejpam-5678	121	32	)	)	PUNCT
ejpam-5678	121	33	,	,	PUNCT
ejpam-5678	121	34	we	we	PRON
ejpam-5678	121	35	get	get	VERB
ejpam-5678	121	36	1	1	NUM
ejpam-5678	121	37	3	3	NUM
ejpam-5678	121	38	(	(	PUNCT
ejpam-5678	121	39	2λ+	2λ+	NUM
ejpam-5678	121	40	τ	τ	X
ejpam-5678	121	41	+	+	CCONJ
ejpam-5678	121	42	1	1	X
ejpam-5678	121	43	)	)	PUNCT
ejpam-5678	121	44	c2	c2	PROPN
ejpam-5678	121	45	=	=	SYM
ejpam-5678	121	46	h2(y)j1	h2(y)j1	PROPN
ejpam-5678	121	47	,	,	PUNCT
ejpam-5678	121	48	(	(	PUNCT
ejpam-5678	121	49	18	18	NUM
ejpam-5678	121	50	)	)	PUNCT
ejpam-5678	121	51	1	1	NUM
ejpam-5678	121	52	10	10	NUM
ejpam-5678	121	53	(	(	PUNCT
ejpam-5678	121	54	6λ+	6λ+	NUM
ejpam-5678	121	55	2τ	2τ	NUM
ejpam-5678	121	56	+	+	CCONJ
ejpam-5678	121	57	1	1	X
ejpam-5678	121	58	)	)	PUNCT
ejpam-5678	121	59	c3	c3	NOUN
ejpam-5678	121	60	=	=	SYM
ejpam-5678	121	61	h2(y)j2	h2(y)j2	ADJ
ejpam-5678	121	62	+	+	CCONJ
ejpam-5678	122	1	h3(y)j	h3(y)j	NUM
ejpam-5678	122	2	2	2	NUM
ejpam-5678	122	3	1	1	NUM
ejpam-5678	122	4	,	,	PUNCT
ejpam-5678	122	5	(	(	PUNCT
ejpam-5678	122	6	19	19	NUM
ejpam-5678	122	7	)	)	PUNCT
ejpam-5678	122	8	−1	−1	NOUN
ejpam-5678	122	9	3	3	NUM
ejpam-5678	122	10	(	(	PUNCT
ejpam-5678	122	11	2λ+	2λ+	NUM
ejpam-5678	122	12	τ	τ	X
ejpam-5678	122	13	+	+	CCONJ
ejpam-5678	122	14	1	1	X
ejpam-5678	122	15	)	)	PUNCT
ejpam-5678	122	16	c2	c2	PROPN
ejpam-5678	122	17	=	=	SYM
ejpam-5678	122	18	h2(y)d1	h2(y)d1	NOUN
ejpam-5678	122	19	,	,	PUNCT
ejpam-5678	122	20	(	(	PUNCT
ejpam-5678	122	21	20	20	NUM
ejpam-5678	122	22	)	)	PUNCT
ejpam-5678	122	23	and	and	CCONJ
ejpam-5678	122	24	1	1	NUM
ejpam-5678	122	25	10	10	NUM
ejpam-5678	122	26	(	(	PUNCT
ejpam-5678	122	27	6λ+	6λ+	NUM
ejpam-5678	122	28	2τ	2τ	NUM
ejpam-5678	122	29	+	+	CCONJ
ejpam-5678	122	30	1	1	X
ejpam-5678	122	31	)	)	PUNCT
ejpam-5678	122	32	[	[	PUNCT
ejpam-5678	122	33	2c22	2c22	NOUN
ejpam-5678	122	34	−	−	PROPN
ejpam-5678	122	35	c3	c3	PROPN
ejpam-5678	122	36	]	]	X
ejpam-5678	122	37	=	=	PUNCT
ejpam-5678	122	38	h2(y)d2	h2(y)d2	X
ejpam-5678	123	1	+	+	CCONJ
ejpam-5678	123	2	h3(y)d	h3(y)d	NUM
ejpam-5678	123	3	2	2	NUM
ejpam-5678	123	4	1	1	NUM
ejpam-5678	123	5	.	.	PUNCT
ejpam-5678	124	1	(	(	PUNCT
ejpam-5678	124	2	21	21	NUM
ejpam-5678	124	3	)	)	PUNCT
ejpam-5678	124	4	it	it	PRON
ejpam-5678	124	5	follows	follow	VERB
ejpam-5678	124	6	from	from	ADP
ejpam-5678	124	7	(	(	PUNCT
ejpam-5678	124	8	18	18	NUM
ejpam-5678	124	9	)	)	PUNCT
ejpam-5678	124	10	and	and	CCONJ
ejpam-5678	124	11	(	(	PUNCT
ejpam-5678	124	12	20	20	NUM
ejpam-5678	124	13	)	)	PUNCT
ejpam-5678	124	14	that	that	SCONJ
ejpam-5678	124	15	j1	j1	PROPN
ejpam-5678	124	16	=	=	PROPN
ejpam-5678	124	17	−d1	−d1	NOUN
ejpam-5678	124	18	(	(	PUNCT
ejpam-5678	124	19	22	22	NUM
ejpam-5678	124	20	)	)	PUNCT
ejpam-5678	124	21	and	and	CCONJ
ejpam-5678	124	22	2	2	NUM
ejpam-5678	124	23	9	9	NUM
ejpam-5678	124	24	(	(	PUNCT
ejpam-5678	124	25	2λ+	2λ+	NUM
ejpam-5678	124	26	τ	τ	X
ejpam-5678	124	27	+	+	PROPN
ejpam-5678	124	28	1)2	1)2	NUM
ejpam-5678	124	29	c22	c22	NOUN
ejpam-5678	124	30	=	=	PUNCT
ejpam-5678	125	1	[	[	X
ejpam-5678	125	2	h2(y	h2(y	X
ejpam-5678	125	3	)	)	PUNCT
ejpam-5678	125	4	]	]	X
ejpam-5678	125	5	2	2	X
ejpam-5678	125	6	(	(	PUNCT
ejpam-5678	125	7	j21	j21	NOUN
ejpam-5678	125	8	+	+	CCONJ
ejpam-5678	125	9	d21	d21	NOUN
ejpam-5678	125	10	)	)	PUNCT
ejpam-5678	125	11	.	.	PUNCT
ejpam-5678	126	1	(	(	PUNCT
ejpam-5678	126	2	23	23	NUM
ejpam-5678	126	3	)	)	PUNCT
ejpam-5678	126	4	if	if	SCONJ
ejpam-5678	126	5	we	we	PRON
ejpam-5678	126	6	add	add	VERB
ejpam-5678	126	7	(	(	PUNCT
ejpam-5678	126	8	19	19	NUM
ejpam-5678	126	9	)	)	PUNCT
ejpam-5678	126	10	and	and	CCONJ
ejpam-5678	126	11	(	(	PUNCT
ejpam-5678	126	12	21	21	NUM
ejpam-5678	126	13	)	)	PUNCT
ejpam-5678	126	14	,	,	PUNCT
ejpam-5678	126	15	we	we	PRON
ejpam-5678	126	16	get	get	VERB
ejpam-5678	126	17	1	1	NUM
ejpam-5678	126	18	5	5	NUM
ejpam-5678	126	19	(	(	PUNCT
ejpam-5678	126	20	6λ+	6λ+	NUM
ejpam-5678	126	21	2τ	2τ	NUM
ejpam-5678	126	22	+	+	CCONJ
ejpam-5678	126	23	1	1	X
ejpam-5678	126	24	)	)	PUNCT
ejpam-5678	126	25	c22	c22	NOUN
ejpam-5678	126	26	=	=	SYM
ejpam-5678	126	27	h2(y	h2(y	PROPN
ejpam-5678	126	28	)	)	PUNCT
ejpam-5678	126	29	(	(	PUNCT
ejpam-5678	126	30	j2	j2	PROPN
ejpam-5678	126	31	+	+	CCONJ
ejpam-5678	126	32	d2	d2	PROPN
ejpam-5678	126	33	)	)	PUNCT
ejpam-5678	126	34	+	+	CCONJ
ejpam-5678	126	35	h3(y	h3(y	PROPN
ejpam-5678	126	36	)	)	PUNCT
ejpam-5678	126	37	(	(	PUNCT
ejpam-5678	126	38	j21	j21	NOUN
ejpam-5678	126	39	+	+	CCONJ
ejpam-5678	126	40	d21	d21	NOUN
ejpam-5678	126	41	)	)	PUNCT
ejpam-5678	126	42	.	.	PUNCT
ejpam-5678	127	1	(	(	PUNCT
ejpam-5678	127	2	24	24	NUM
ejpam-5678	127	3	)	)	PUNCT
ejpam-5678	127	4	replacing	replace	VERB
ejpam-5678	127	5	the	the	DET
ejpam-5678	127	6	value	value	NOUN
ejpam-5678	127	7	of	of	ADP
ejpam-5678	127	8	(	(	PUNCT
ejpam-5678	127	9	c21	c21	PROPN
ejpam-5678	127	10	+	+	X
ejpam-5678	127	11	d21	d21	NOUN
ejpam-5678	127	12	)	)	PUNCT
ejpam-5678	127	13	from	from	ADP
ejpam-5678	127	14	(	(	PUNCT
ejpam-5678	127	15	23	23	NUM
ejpam-5678	127	16	)	)	PUNCT
ejpam-5678	127	17	in	in	ADP
ejpam-5678	127	18	the	the	DET
ejpam-5678	127	19	right	right	ADJ
ejpam-5678	127	20	hand	hand	NOUN
ejpam-5678	127	21	side	side	NOUN
ejpam-5678	127	22	of	of	ADP
ejpam-5678	127	23	(	(	PUNCT
ejpam-5678	127	24	24	24	NUM
ejpam-5678	127	25	)	)	PUNCT
ejpam-5678	127	26	,	,	PUNCT
ejpam-5678	127	27	we	we	PRON
ejpam-5678	127	28	have	have	VERB
ejpam-5678	127	29	[	[	PUNCT
ejpam-5678	127	30	1	1	NUM
ejpam-5678	127	31	5	5	NUM
ejpam-5678	127	32	(	(	PUNCT
ejpam-5678	127	33	6λ+	6λ+	NUM
ejpam-5678	127	34	2τ	2τ	NUM
ejpam-5678	127	35	+	+	CCONJ
ejpam-5678	128	1	1)−	1)−	NUM
ejpam-5678	128	2	2	2	NUM
ejpam-5678	128	3	9	9	NUM
ejpam-5678	128	4	(	(	PUNCT
ejpam-5678	128	5	2λ+	2λ+	NUM
ejpam-5678	128	6	τ	τ	NOUN
ejpam-5678	128	7	+	+	PROPN
ejpam-5678	128	8	1)2	1)2	NUM
ejpam-5678	128	9	h3(y	h3(y	NUM
ejpam-5678	128	10	)	)	PUNCT
ejpam-5678	128	11	[	[	X
ejpam-5678	128	12	h2(y	h2(y	X
ejpam-5678	128	13	)	)	PUNCT
ejpam-5678	128	14	]	]	PUNCT
ejpam-5678	128	15	2	2	X
ejpam-5678	128	16	]	]	PUNCT
ejpam-5678	128	17	c22	c22	NOUN
ejpam-5678	128	18	=	=	SYM
ejpam-5678	128	19	h2(y	h2(y	PROPN
ejpam-5678	128	20	)	)	PUNCT
ejpam-5678	128	21	(	(	PUNCT
ejpam-5678	128	22	j2	j2	PROPN
ejpam-5678	128	23	+	+	CCONJ
ejpam-5678	128	24	d2	d2	PROPN
ejpam-5678	128	25	)	)	PUNCT
ejpam-5678	128	26	.	.	PUNCT
ejpam-5678	129	1	(	(	PUNCT
ejpam-5678	129	2	25	25	NUM
ejpam-5678	129	3	)	)	PUNCT
ejpam-5678	129	4	using	use	VERB
ejpam-5678	129	5	(	(	PUNCT
ejpam-5678	129	6	3	3	NUM
ejpam-5678	129	7	)	)	PUNCT
ejpam-5678	129	8	and	and	CCONJ
ejpam-5678	129	9	(	(	PUNCT
ejpam-5678	129	10	17	17	NUM
ejpam-5678	129	11	)	)	PUNCT
ejpam-5678	129	12	in	in	ADP
ejpam-5678	129	13	(	(	PUNCT
ejpam-5678	129	14	25	25	NUM
ejpam-5678	129	15	)	)	PUNCT
ejpam-5678	129	16	,	,	PUNCT
ejpam-5678	129	17	we	we	PRON
ejpam-5678	129	18	find	find	VERB
ejpam-5678	129	19	that	that	SCONJ
ejpam-5678	129	20	|c2|	|c2|	NOUN
ejpam-5678	129	21	≤	≤	NOUN
ejpam-5678	129	22	ty	ty	INTJ
ejpam-5678	130	1	√	√	PROPN
ejpam-5678	130	2	2ty√∣∣∣15	2ty√∣∣∣15	NUM
ejpam-5678	130	3	(	(	PUNCT
ejpam-5678	130	4	6λ+	6λ+	NUM
ejpam-5678	130	5	2τ	2τ	NUM
ejpam-5678	130	6	+	+	CCONJ
ejpam-5678	130	7	1	1	X
ejpam-5678	130	8	)	)	PUNCT
ejpam-5678	131	1	t2y2	t2y2	NOUN
ejpam-5678	131	2	−	−	PROPN
ejpam-5678	131	3	2	2	NUM
ejpam-5678	131	4	9	9	NUM
ejpam-5678	131	5	(	(	PUNCT
ejpam-5678	131	6	2λ+	2λ+	NUM
ejpam-5678	131	7	τ	τ	X
ejpam-5678	131	8	+	+	PROPN
ejpam-5678	131	9	1)2	1)2	NUM
ejpam-5678	131	10	(	(	PUNCT
ejpam-5678	131	11	rty2	rty2	PROPN
ejpam-5678	131	12	+	+	NUM
ejpam-5678	131	13	su	su	NOUN
ejpam-5678	131	14	)	)	PUNCT
ejpam-5678	131	15	∣∣∣	∣∣∣	NOUN
ejpam-5678	131	16	.	.	PUNCT
ejpam-5678	132	1	also	also	ADV
ejpam-5678	132	2	,	,	PUNCT
ejpam-5678	132	3	if	if	SCONJ
ejpam-5678	132	4	we	we	PRON
ejpam-5678	132	5	subtract	subtract	VERB
ejpam-5678	132	6	(	(	PUNCT
ejpam-5678	132	7	21	21	NUM
ejpam-5678	132	8	)	)	PUNCT
ejpam-5678	132	9	from	from	ADP
ejpam-5678	132	10	(	(	PUNCT
ejpam-5678	132	11	19	19	NUM
ejpam-5678	132	12	)	)	PUNCT
ejpam-5678	132	13	,	,	PUNCT
ejpam-5678	132	14	we	we	PRON
ejpam-5678	132	15	obtain	obtain	VERB
ejpam-5678	132	16	1	1	NUM
ejpam-5678	132	17	5	5	NUM
ejpam-5678	132	18	(	(	PUNCT
ejpam-5678	132	19	6λ+	6λ+	NUM
ejpam-5678	132	20	2τ	2τ	NUM
ejpam-5678	132	21	+	+	CCONJ
ejpam-5678	132	22	1	1	X
ejpam-5678	132	23	)	)	PUNCT
ejpam-5678	132	24	(	(	PUNCT
ejpam-5678	132	25	c3	c3	PROPN
ejpam-5678	132	26	−	−	PROPN
ejpam-5678	132	27	c22	c22	PROPN
ejpam-5678	132	28	)	)	PUNCT
ejpam-5678	132	29	=	=	PUNCT
ejpam-5678	133	1	h2(y	h2(y	X
ejpam-5678	133	2	)	)	PUNCT
ejpam-5678	133	3	(	(	PUNCT
ejpam-5678	133	4	j2	j2	PROPN
ejpam-5678	133	5	−	−	PROPN
ejpam-5678	133	6	d2	d2	PROPN
ejpam-5678	133	7	)	)	PUNCT
ejpam-5678	133	8	+	+	CCONJ
ejpam-5678	133	9	h3(y	h3(y	PROPN
ejpam-5678	133	10	)	)	PUNCT
ejpam-5678	133	11	(	(	PUNCT
ejpam-5678	133	12	j21	j21	PROPN
ejpam-5678	133	13	−	−	PROPN
ejpam-5678	133	14	d21	d21	PROPN
ejpam-5678	133	15	)	)	PUNCT
ejpam-5678	133	16	.	.	PUNCT
ejpam-5678	134	1	(	(	PUNCT
ejpam-5678	134	2	26	26	NUM
ejpam-5678	134	3	)	)	PUNCT
ejpam-5678	134	4	then	then	ADV
ejpam-5678	134	5	,	,	PUNCT
ejpam-5678	134	6	from	from	ADP
ejpam-5678	134	7	(	(	PUNCT
ejpam-5678	134	8	22	22	NUM
ejpam-5678	134	9	)	)	PUNCT
ejpam-5678	134	10	and	and	CCONJ
ejpam-5678	134	11	(	(	PUNCT
ejpam-5678	134	12	23	23	NUM
ejpam-5678	134	13	)	)	PUNCT
ejpam-5678	134	14	,	,	PUNCT
ejpam-5678	134	15	equation	equation	NOUN
ejpam-5678	134	16	(	(	PUNCT
ejpam-5678	134	17	26	26	NUM
ejpam-5678	134	18	)	)	PUNCT
ejpam-5678	134	19	becomes	become	VERB
ejpam-5678	134	20	c3	c3	NOUN
ejpam-5678	134	21	=	=	PUNCT
ejpam-5678	134	22	9	9	NUM
ejpam-5678	134	23	[	[	X
ejpam-5678	134	24	h2(y	h2(y	X
ejpam-5678	134	25	)	)	PUNCT
ejpam-5678	134	26	]	]	PUNCT
ejpam-5678	134	27	2	2	NUM
ejpam-5678	134	28	2	2	NUM
ejpam-5678	134	29	(	(	PUNCT
ejpam-5678	134	30	2λ+	2λ+	NUM
ejpam-5678	134	31	τ	τ	X
ejpam-5678	134	32	+	+	PROPN
ejpam-5678	134	33	1)2	1)2	NUM
ejpam-5678	134	34	(	(	PUNCT
ejpam-5678	134	35	j21	j21	NOUN
ejpam-5678	134	36	+	+	CCONJ
ejpam-5678	134	37	d21	d21	NOUN
ejpam-5678	134	38	)	)	PUNCT
ejpam-5678	135	1	+	+	CCONJ
ejpam-5678	136	1	5h2(y	5h2(y	X
ejpam-5678	136	2	)	)	PUNCT
ejpam-5678	136	3	6λ+	6λ+	NUM
ejpam-5678	136	4	2τ	2τ	NUM
ejpam-5678	136	5	+	+	CCONJ
ejpam-5678	136	6	1	1	NUM
ejpam-5678	136	7	(	(	PUNCT
ejpam-5678	136	8	j2	j2	PROPN
ejpam-5678	136	9	−	−	PROPN
ejpam-5678	136	10	d2	d2	PROPN
ejpam-5678	136	11	)	)	PUNCT
ejpam-5678	136	12	.	.	PUNCT
ejpam-5678	137	1	by	by	ADP
ejpam-5678	137	2	applying	apply	VERB
ejpam-5678	137	3	(	(	PUNCT
ejpam-5678	137	4	3	3	NUM
ejpam-5678	137	5	)	)	PUNCT
ejpam-5678	137	6	,	,	PUNCT
ejpam-5678	137	7	we	we	PRON
ejpam-5678	137	8	conclude	conclude	VERB
ejpam-5678	137	9	that	that	PRON
ejpam-5678	137	10	|c3|	|c3|	ADJ
ejpam-5678	137	11	≤	≤	ADJ
ejpam-5678	137	12	9t2y2	9t2y2	NUM
ejpam-5678	137	13	(	(	PUNCT
ejpam-5678	137	14	2λ+	2λ+	NUM
ejpam-5678	137	15	τ	τ	NOUN
ejpam-5678	137	16	+	+	CCONJ
ejpam-5678	137	17	1)2	1)2	NUM
ejpam-5678	137	18	+	+	CCONJ
ejpam-5678	137	19	10ty	10ty	PROPN
ejpam-5678	137	20	6λ+	6λ+	NUM
ejpam-5678	137	21	2τ	2τ	NUM
ejpam-5678	137	22	+	+	CCONJ
ejpam-5678	137	23	1	1	X
ejpam-5678	137	24	.	.	PUNCT
ejpam-5678	137	25	using	use	VERB
ejpam-5678	137	26	the	the	DET
ejpam-5678	137	27	values	value	NOUN
ejpam-5678	137	28	of	of	ADP
ejpam-5678	137	29	c2	c2	PROPN
ejpam-5678	137	30	and	and	CCONJ
ejpam-5678	137	31	c3	c3	PROPN
ejpam-5678	137	32	,	,	PUNCT
ejpam-5678	137	33	we	we	PRON
ejpam-5678	137	34	prove	prove	VERB
ejpam-5678	137	35	the	the	DET
ejpam-5678	137	36	functional	functional	ADJ
ejpam-5678	137	37	∣∣c3	∣∣c3	NOUN
ejpam-5678	137	38	−	−	PROPN
ejpam-5678	137	39	φc22	φc22	PROPN
ejpam-5678	137	40	∣∣	∣∣	NUM
ejpam-5678	137	41	for	for	ADP
ejpam-5678	137	42	family	family	NOUN
ejpam-5678	137	43	functions	function	NOUN
ejpam-5678	137	44	fω(s	fω(s	PROPN
ejpam-5678	137	45	,	,	PUNCT
ejpam-5678	137	46	r	r	NOUN
ejpam-5678	137	47	,	,	PUNCT
ejpam-5678	137	48	u	u	NOUN
ejpam-5678	137	49	,	,	PUNCT
ejpam-5678	137	50	y	y	PROPN
ejpam-5678	137	51	,	,	PUNCT
ejpam-5678	137	52	t	t	PROPN
ejpam-5678	137	53	,	,	PUNCT
ejpam-5678	137	54	λ	λ	PROPN
ejpam-5678	137	55	,	,	PUNCT
ejpam-5678	137	56	τ	τ	PROPN
ejpam-5678	137	57	)	)	PUNCT
ejpam-5678	137	58	.	.	PUNCT
ejpam-5678	138	1	t.	t.	PROPN
ejpam-5678	138	2	al	al	PROPN
ejpam-5678	138	3	-	-	PUNCT
ejpam-5678	138	4	hawary	hawary	PROPN
ejpam-5678	138	5	et	et	PROPN
ejpam-5678	138	6	al	al	PROPN
ejpam-5678	138	7	.	.	PUNCT
ejpam-5678	138	8	/	/	SYM
ejpam-5678	138	9	eur	eur	PROPN
ejpam-5678	138	10	.	.	PUNCT
ejpam-5678	139	1	j.	j.	PROPN
ejpam-5678	139	2	pure	pure	PROPN
ejpam-5678	139	3	appl	appl	PROPN
ejpam-5678	139	4	.	.	PROPN
ejpam-5678	139	5	math	math	PROPN
ejpam-5678	139	6	,	,	PUNCT
ejpam-5678	139	7	18	18	NUM
ejpam-5678	139	8	(	(	PUNCT
ejpam-5678	139	9	1	1	NUM
ejpam-5678	139	10	)	)	PUNCT
ejpam-5678	139	11	(	(	PUNCT
ejpam-5678	139	12	2025	2025	NUM
ejpam-5678	139	13	)	)	PUNCT
ejpam-5678	139	14	,	,	PUNCT
ejpam-5678	139	15	5678	5678	NUM
ejpam-5678	139	16	8	8	NUM
ejpam-5678	139	17	of	of	ADP
ejpam-5678	139	18	12	12	NUM
ejpam-5678	139	19	theorem	theorem	NOUN
ejpam-5678	139	20	2	2	NUM
ejpam-5678	139	21	.	.	PUNCT
ejpam-5678	140	1	let	let	VERB
ejpam-5678	140	2	l	l	PROPN
ejpam-5678	140	3	∈	∈	PROPN
ejpam-5678	140	4	ω	ω	PROPN
ejpam-5678	140	5	given	give	VERB
ejpam-5678	140	6	by	by	ADP
ejpam-5678	140	7	(	(	PUNCT
ejpam-5678	140	8	5	5	NUM
ejpam-5678	140	9	)	)	PUNCT
ejpam-5678	140	10	belongs	belong	VERB
ejpam-5678	140	11	to	to	ADP
ejpam-5678	140	12	the	the	DET
ejpam-5678	140	13	family	family	NOUN
ejpam-5678	140	14	fω(s	fω(s	PROPN
ejpam-5678	140	15	,	,	PUNCT
ejpam-5678	140	16	r	r	NOUN
ejpam-5678	140	17	,	,	PUNCT
ejpam-5678	140	18	u	u	NOUN
ejpam-5678	140	19	,	,	PUNCT
ejpam-5678	140	20	y	y	PROPN
ejpam-5678	140	21	,	,	PUNCT
ejpam-5678	140	22	t	t	PROPN
ejpam-5678	140	23	,	,	PUNCT
ejpam-5678	140	24	λ	λ	PROPN
ejpam-5678	140	25	,	,	PUNCT
ejpam-5678	140	26	τ	τ	PROPN
ejpam-5678	140	27	)	)	PUNCT
ejpam-5678	140	28	.	.	PUNCT
ejpam-5678	141	1	then	then	ADV
ejpam-5678	141	2	∣∣c3	∣∣c3	VERB
ejpam-5678	141	3	−	−	PROPN
ejpam-5678	141	4	φc22	φc22	PROPN
ejpam-5678	141	5	∣∣	∣∣	ADP
ejpam-5678	141	6	≤	≤	ADV
ejpam-5678	141	7			NUM
ejpam-5678	142	1	10|ty|	10|ty|	NUM
ejpam-5678	142	2	6λ+2τ+1	6λ+2τ+1	NUM
ejpam-5678	142	3	2t3y3|1−φ|	2t3y3|1−φ|	NUM
ejpam-5678	142	4	|	|	ADV
ejpam-5678	142	5	15	15	NUM
ejpam-5678	142	6	(	(	PUNCT
ejpam-5678	142	7	6λ+2τ+1)t2y2−	6λ+2τ+1)t2y2−	NUM
ejpam-5678	142	8	2	2	NUM
ejpam-5678	142	9	9	9	NUM
ejpam-5678	142	10	(	(	PUNCT
ejpam-5678	142	11	2λ+τ+1)2(rty2+su)|	2λ+τ+1)2(rty2+su)|	NUM
ejpam-5678	142	12	|1−	|1−	NOUN
ejpam-5678	142	13	φ|	φ|	PROPN
ejpam-5678	142	14	≤	≤	NUM
ejpam-5678	142	15	π1	π1	NOUN
ejpam-5678	142	16	,	,	PUNCT
ejpam-5678	142	17	|1−	|1−	ADJ
ejpam-5678	142	18	φ|	φ|	PROPN
ejpam-5678	142	19	≥	≥	NOUN
ejpam-5678	142	20	π1	π1	NOUN
ejpam-5678	142	21	.	.	PUNCT
ejpam-5678	143	1	where	where	SCONJ
ejpam-5678	143	2	π1	π1	NOUN
ejpam-5678	143	3	=	=	SYM
ejpam-5678	143	4	1−	1−	NUM
ejpam-5678	143	5	10	10	NUM
ejpam-5678	143	6	(	(	PUNCT
ejpam-5678	143	7	2λ+	2λ+	NUM
ejpam-5678	143	8	τ	τ	X
ejpam-5678	143	9	+	+	PROPN
ejpam-5678	143	10	1)2	1)2	NUM
ejpam-5678	143	11	(	(	PUNCT
ejpam-5678	143	12	rty2	rty2	PROPN
ejpam-5678	143	13	+	+	NUM
ejpam-5678	143	14	su	su	NOUN
ejpam-5678	143	15	)	)	PUNCT
ejpam-5678	143	16	(	(	PUNCT
ejpam-5678	143	17	6λ+	6λ+	NUM
ejpam-5678	143	18	2τ	2τ	NUM
ejpam-5678	143	19	+	+	CCONJ
ejpam-5678	143	20	1	1	X
ejpam-5678	143	21	)	)	PUNCT
ejpam-5678	143	22	t2y2	t2y2	NOUN
ejpam-5678	143	23	.	.	PUNCT
ejpam-5678	144	1	proof	proof	NOUN
ejpam-5678	144	2	.	.	PUNCT
ejpam-5678	145	1	from	from	ADP
ejpam-5678	145	2	(	(	PUNCT
ejpam-5678	145	3	25	25	NUM
ejpam-5678	145	4	)	)	PUNCT
ejpam-5678	145	5	and	and	CCONJ
ejpam-5678	145	6	(	(	PUNCT
ejpam-5678	145	7	26	26	NUM
ejpam-5678	145	8	)	)	PUNCT
ejpam-5678	145	9	c3	c3	NOUN
ejpam-5678	145	10	−	−	PROPN
ejpam-5678	145	11	φc22	φc22	PROPN
ejpam-5678	145	12	=	=	SYM
ejpam-5678	145	13	5h2(y	5h2(y	NUM
ejpam-5678	145	14	)	)	PUNCT
ejpam-5678	145	15	6λ+	6λ+	NUM
ejpam-5678	145	16	2τ	2τ	NUM
ejpam-5678	145	17	+	+	CCONJ
ejpam-5678	145	18	1	1	NUM
ejpam-5678	145	19	(	(	PUNCT
ejpam-5678	145	20	j2	j2	PROPN
ejpam-5678	145	21	−	−	PROPN
ejpam-5678	145	22	d2	d2	PROPN
ejpam-5678	145	23	)	)	PUNCT
ejpam-5678	145	24	+	+	CCONJ
ejpam-5678	145	25	(	(	PUNCT
ejpam-5678	145	26	1−	1−	NUM
ejpam-5678	145	27	φ	φ	NUM
ejpam-5678	145	28	)	)	PUNCT
ejpam-5678	146	1	[	[	X
ejpam-5678	146	2	h2(y	h2(y	X
ejpam-5678	146	3	)	)	PUNCT
ejpam-5678	146	4	]	]	X
ejpam-5678	146	5	3	3	X
ejpam-5678	146	6	(	(	PUNCT
ejpam-5678	146	7	j2	j2	PROPN
ejpam-5678	146	8	+	+	CCONJ
ejpam-5678	146	9	d2	d2	PROPN
ejpam-5678	146	10	)	)	PUNCT
ejpam-5678	146	11	1	1	NUM
ejpam-5678	146	12	5	5	NUM
ejpam-5678	146	13	(	(	PUNCT
ejpam-5678	146	14	6λ+	6λ+	NUM
ejpam-5678	146	15	2τ	2τ	NUM
ejpam-5678	146	16	+	+	CCONJ
ejpam-5678	146	17	1	1	X
ejpam-5678	146	18	)	)	PUNCT
ejpam-5678	147	1	[	[	X
ejpam-5678	147	2	h2(y	h2(y	X
ejpam-5678	147	3	)	)	PUNCT
ejpam-5678	147	4	]	]	PUNCT
ejpam-5678	147	5	2	2	NUM
ejpam-5678	147	6	−	−	NUM
ejpam-5678	147	7	2	2	NUM
ejpam-5678	147	8	9	9	NUM
ejpam-5678	147	9	(	(	PUNCT
ejpam-5678	147	10	2λ+	2λ+	NUM
ejpam-5678	147	11	τ	τ	NOUN
ejpam-5678	147	12	+	+	PROPN
ejpam-5678	147	13	1)2	1)2	NUM
ejpam-5678	147	14	h3(y	h3(y	NUM
ejpam-5678	147	15	)	)	PUNCT
ejpam-5678	147	16	=	=	SYM
ejpam-5678	147	17	h2(y	h2(y	PROPN
ejpam-5678	147	18	)	)	PUNCT
ejpam-5678	147	19	[	[	PUNCT
ejpam-5678	147	20	𭟋(φ	𭟋(φ	PROPN
ejpam-5678	147	21	)	)	PUNCT
ejpam-5678	147	22	+	+	CCONJ
ejpam-5678	147	23	5	5	NUM
ejpam-5678	147	24	6λ+	6λ+	NUM
ejpam-5678	147	25	2τ	2τ	NUM
ejpam-5678	147	26	+	+	CCONJ
ejpam-5678	147	27	1	1	X
ejpam-5678	147	28	]	]	X
ejpam-5678	147	29	j2	j2	NOUN
ejpam-5678	147	30	+	+	CCONJ
ejpam-5678	147	31	h2(y	h2(y	PROPN
ejpam-5678	147	32	)	)	PUNCT
ejpam-5678	147	33	[	[	PUNCT
ejpam-5678	147	34	𭟋(φ)−	𭟋(φ)−	PROPN
ejpam-5678	147	35	5	5	NUM
ejpam-5678	147	36	6λ+	6λ+	NUM
ejpam-5678	147	37	2τ	2τ	NUM
ejpam-5678	147	38	+	+	CCONJ
ejpam-5678	147	39	1	1	NUM
ejpam-5678	147	40	]	]	PUNCT
ejpam-5678	147	41	d2	d2	PROPN
ejpam-5678	147	42	,	,	PUNCT
ejpam-5678	147	43	where	where	SCONJ
ejpam-5678	147	44	𭟋(φ	𭟋(φ	NOUN
ejpam-5678	147	45	)	)	PUNCT
ejpam-5678	147	46	=	=	PUNCT
ejpam-5678	148	1	[	[	X
ejpam-5678	148	2	h2(y	h2(y	X
ejpam-5678	148	3	)	)	PUNCT
ejpam-5678	148	4	]	]	X
ejpam-5678	148	5	2	2	NUM
ejpam-5678	148	6	(	(	PUNCT
ejpam-5678	148	7	1−	1−	NUM
ejpam-5678	148	8	φ	φ	NUM
ejpam-5678	148	9	)	)	PUNCT
ejpam-5678	148	10	1	1	NUM
ejpam-5678	148	11	5	5	NUM
ejpam-5678	148	12	(	(	PUNCT
ejpam-5678	148	13	6λ+	6λ+	NUM
ejpam-5678	148	14	2τ	2τ	NUM
ejpam-5678	148	15	+	+	CCONJ
ejpam-5678	148	16	1	1	X
ejpam-5678	148	17	)	)	PUNCT
ejpam-5678	149	1	[	[	X
ejpam-5678	149	2	h2(y	h2(y	X
ejpam-5678	149	3	)	)	PUNCT
ejpam-5678	149	4	]	]	PUNCT
ejpam-5678	149	5	2	2	NUM
ejpam-5678	149	6	−	−	NUM
ejpam-5678	149	7	2	2	NUM
ejpam-5678	149	8	9	9	NUM
ejpam-5678	149	9	(	(	PUNCT
ejpam-5678	149	10	2λ+	2λ+	NUM
ejpam-5678	149	11	τ	τ	NOUN
ejpam-5678	149	12	+	+	PROPN
ejpam-5678	149	13	1)2	1)2	NUM
ejpam-5678	149	14	h3(y	h3(y	NUM
ejpam-5678	149	15	)	)	PUNCT
ejpam-5678	149	16	,	,	PUNCT
ejpam-5678	149	17	then	then	ADV
ejpam-5678	149	18	,	,	PUNCT
ejpam-5678	149	19	from	from	ADP
ejpam-5678	149	20	(	(	PUNCT
ejpam-5678	149	21	3	3	NUM
ejpam-5678	149	22	)	)	PUNCT
ejpam-5678	149	23	,	,	PUNCT
ejpam-5678	149	24	we	we	PRON
ejpam-5678	149	25	deduce	deduce	VERB
ejpam-5678	149	26	that	that	DET
ejpam-5678	149	27	∣∣c3	∣∣c3	NOUN
ejpam-5678	149	28	−	−	PROPN
ejpam-5678	149	29	φc22	φc22	PROPN
ejpam-5678	149	30	∣∣	∣∣	ADP
ejpam-5678	149	31	≤	≤	NUM
ejpam-5678	149	32			PUNCT
ejpam-5678	149	33	10|h2(y)|	10|h2(y)|	NUM
ejpam-5678	149	34	6λ+2τ+1	6λ+2τ+1	NUM
ejpam-5678	149	35	2	2	NUM
ejpam-5678	149	36	|h2(y)|	|h2(y)|	PUNCT
ejpam-5678	149	37	|𭟋(φ)|	|𭟋(φ)|	PROPN
ejpam-5678	149	38	|𭟋(φ)|	|𭟋(φ)|	NOUN
ejpam-5678	149	39	≤	≤	NUM
ejpam-5678	149	40	5	5	NUM
ejpam-5678	149	41	6λ+2τ+1	6λ+2τ+1	NOUN
ejpam-5678	149	42	,	,	PUNCT
ejpam-5678	149	43	|𭟋(φ)|	|𭟋(φ)|	PROPN
ejpam-5678	149	44	≥	≥	NUM
ejpam-5678	149	45	5	5	NUM
ejpam-5678	149	46	6λ+2τ+1	6λ+2τ+1	NOUN
ejpam-5678	149	47	.	.	PUNCT
ejpam-5678	150	1	≡	≡	PROPN
ejpam-5678	151	1			PRON
ejpam-5678	152	1	10|ty|	10|ty|	NUM
ejpam-5678	152	2	6λ+2τ+1	6λ+2τ+1	NUM
ejpam-5678	152	3	2t3y3|1−φ|	2t3y3|1−φ|	NUM
ejpam-5678	152	4	|	|	ADV
ejpam-5678	152	5	15	15	NUM
ejpam-5678	152	6	(	(	PUNCT
ejpam-5678	152	7	6λ+2τ+1)t2y2−	6λ+2τ+1)t2y2−	NUM
ejpam-5678	152	8	2	2	NUM
ejpam-5678	152	9	9	9	NUM
ejpam-5678	152	10	(	(	PUNCT
ejpam-5678	152	11	2λ+τ+1)2(rty2+su)|	2λ+τ+1)2(rty2+su)|	NUM
ejpam-5678	152	12	|1−	|1−	NOUN
ejpam-5678	152	13	φ|	φ|	PROPN
ejpam-5678	152	14	≤	≤	NUM
ejpam-5678	152	15	π1	π1	NOUN
ejpam-5678	152	16	,	,	PUNCT
ejpam-5678	152	17	|1−	|1−	ADJ
ejpam-5678	152	18	φ|	φ|	PROPN
ejpam-5678	152	19	≥	≥	NOUN
ejpam-5678	152	20	π1	π1	NOUN
ejpam-5678	152	21	.	.	PUNCT
ejpam-5678	153	1	where	where	SCONJ
ejpam-5678	153	2	π1	π1	NOUN
ejpam-5678	153	3	=	=	SYM
ejpam-5678	153	4	1−	1−	NUM
ejpam-5678	153	5	10	10	NUM
ejpam-5678	153	6	(	(	PUNCT
ejpam-5678	153	7	2λ+	2λ+	NUM
ejpam-5678	153	8	τ	τ	X
ejpam-5678	153	9	+	+	PROPN
ejpam-5678	153	10	1)2	1)2	NUM
ejpam-5678	153	11	(	(	PUNCT
ejpam-5678	153	12	rty2	rty2	PROPN
ejpam-5678	153	13	+	+	NUM
ejpam-5678	153	14	su	su	NOUN
ejpam-5678	153	15	)	)	PUNCT
ejpam-5678	153	16	(	(	PUNCT
ejpam-5678	153	17	6λ+	6λ+	NUM
ejpam-5678	153	18	2τ	2τ	NUM
ejpam-5678	153	19	+	+	CCONJ
ejpam-5678	153	20	1	1	X
ejpam-5678	153	21	)	)	PUNCT
ejpam-5678	153	22	t2y2	t2y2	X
ejpam-5678	154	1	3	3	X
ejpam-5678	154	2	.	.	X
ejpam-5678	154	3	particular	particular	ADJ
ejpam-5678	154	4	cases	case	NOUN
ejpam-5678	154	5	the	the	DET
ejpam-5678	154	6	following	follow	VERB
ejpam-5678	154	7	corollaries	corollary	NOUN
ejpam-5678	154	8	are	be	AUX
ejpam-5678	154	9	obtained	obtain	VERB
ejpam-5678	154	10	by	by	ADP
ejpam-5678	154	11	specializing	specialize	VERB
ejpam-5678	154	12	the	the	DET
ejpam-5678	154	13	parameters	parameter	NOUN
ejpam-5678	154	14	λ	λ	PROPN
ejpam-5678	154	15	and	and	CCONJ
ejpam-5678	154	16	τ	τ	PROPN
ejpam-5678	154	17	in	in	ADP
ejpam-5678	154	18	the	the	DET
ejpam-5678	154	19	aforementioned	aforementioned	ADJ
ejpam-5678	154	20	theorems	theorem	NOUN
ejpam-5678	154	21	in	in	ADP
ejpam-5678	154	22	section	section	NOUN
ejpam-5678	154	23	2	2	NUM
ejpam-5678	154	24	.	.	PUNCT
ejpam-5678	155	1	t.	t.	PROPN
ejpam-5678	155	2	al	al	PROPN
ejpam-5678	155	3	-	-	PUNCT
ejpam-5678	155	4	hawary	hawary	PROPN
ejpam-5678	155	5	et	et	PROPN
ejpam-5678	155	6	al	al	PROPN
ejpam-5678	155	7	.	.	PUNCT
ejpam-5678	155	8	/	/	SYM
ejpam-5678	155	9	eur	eur	PROPN
ejpam-5678	155	10	.	.	PUNCT
ejpam-5678	156	1	j.	j.	PROPN
ejpam-5678	156	2	pure	pure	PROPN
ejpam-5678	156	3	appl	appl	PROPN
ejpam-5678	156	4	.	.	PROPN
ejpam-5678	156	5	math	math	PROPN
ejpam-5678	156	6	,	,	PUNCT
ejpam-5678	156	7	18	18	NUM
ejpam-5678	156	8	(	(	PUNCT
ejpam-5678	156	9	1	1	NUM
ejpam-5678	156	10	)	)	PUNCT
ejpam-5678	156	11	(	(	PUNCT
ejpam-5678	156	12	2025	2025	NUM
ejpam-5678	156	13	)	)	PUNCT
ejpam-5678	156	14	,	,	PUNCT
ejpam-5678	156	15	5678	5678	NUM
ejpam-5678	156	16	9	9	NUM
ejpam-5678	156	17	of	of	ADP
ejpam-5678	156	18	12	12	NUM
ejpam-5678	156	19	corollary	corollary	ADJ
ejpam-5678	156	20	1	1	NUM
ejpam-5678	156	21	.	.	PUNCT
ejpam-5678	157	1	let	let	VERB
ejpam-5678	157	2	l	l	PROPN
ejpam-5678	157	3	∈	∈	PROPN
ejpam-5678	157	4	ω	ω	PROPN
ejpam-5678	157	5	given	give	VERB
ejpam-5678	157	6	by	by	ADP
ejpam-5678	157	7	(	(	PUNCT
ejpam-5678	157	8	5	5	NUM
ejpam-5678	157	9	)	)	PUNCT
ejpam-5678	157	10	belongs	belong	VERB
ejpam-5678	157	11	to	to	ADP
ejpam-5678	157	12	the	the	DET
ejpam-5678	157	13	family	family	NOUN
ejpam-5678	157	14	fω(s	fω(s	PROPN
ejpam-5678	157	15	,	,	PUNCT
ejpam-5678	157	16	r	r	NOUN
ejpam-5678	157	17	,	,	PUNCT
ejpam-5678	157	18	u	u	NOUN
ejpam-5678	157	19	,	,	PUNCT
ejpam-5678	157	20	y	y	PROPN
ejpam-5678	157	21	,	,	PUNCT
ejpam-5678	157	22	t	t	PROPN
ejpam-5678	157	23	,	,	PUNCT
ejpam-5678	157	24	τ	τ	PROPN
ejpam-5678	157	25	)	)	PUNCT
ejpam-5678	157	26	.	.	PUNCT
ejpam-5678	158	1	then	then	ADV
ejpam-5678	158	2	|c2|	|c2|	VERB
ejpam-5678	158	3	≤	≤	NOUN
ejpam-5678	158	4	ty	ty	INTJ
ejpam-5678	159	1	√	√	PROPN
ejpam-5678	159	2	2ty√∣∣∣[1	2ty√∣∣∣[1	NUM
ejpam-5678	159	3	5	5	NUM
ejpam-5678	159	4	(	(	PUNCT
ejpam-5678	159	5	2τ	2τ	NUM
ejpam-5678	159	6	+	+	CCONJ
ejpam-5678	159	7	1	1	X
ejpam-5678	159	8	)	)	PUNCT
ejpam-5678	160	1	t2y2	t2y2	NOUN
ejpam-5678	160	2	−	−	PROPN
ejpam-5678	160	3	2	2	NUM
ejpam-5678	160	4	9	9	NUM
ejpam-5678	160	5	(	(	PUNCT
ejpam-5678	160	6	τ	τ	X
ejpam-5678	160	7	+	+	X
ejpam-5678	160	8	1)2	1)2	NUM
ejpam-5678	160	9	(	(	PUNCT
ejpam-5678	160	10	rty2	rty2	PROPN
ejpam-5678	160	11	+	+	NUM
ejpam-5678	160	12	su	su	NOUN
ejpam-5678	160	13	)	)	PUNCT
ejpam-5678	160	14	]	]	PUNCT
ejpam-5678	160	15	∣∣∣	∣∣∣	ADJ
ejpam-5678	160	16	,	,	PUNCT
ejpam-5678	160	17	|c3|	|c3|	ADJ
ejpam-5678	160	18	≤	≤	ADJ
ejpam-5678	160	19	9t2y2	9t2y2	NUM
ejpam-5678	160	20	(	(	PUNCT
ejpam-5678	160	21	τ	τ	X
ejpam-5678	160	22	+	+	CCONJ
ejpam-5678	160	23	1)2	1)2	NUM
ejpam-5678	160	24	+	+	CCONJ
ejpam-5678	160	25	10ty	10ty	ADJ
ejpam-5678	160	26	2τ	2τ	NUM
ejpam-5678	160	27	+	+	CCONJ
ejpam-5678	160	28	1	1	NUM
ejpam-5678	160	29	and	and	CCONJ
ejpam-5678	160	30	∣∣c3	∣∣c3	VERB
ejpam-5678	160	31	−	−	PROPN
ejpam-5678	160	32	φc22	φc22	PROPN
ejpam-5678	160	33	∣∣	∣∣	ADP
ejpam-5678	160	34	≤	≤	ADV
ejpam-5678	160	35			PROPN
ejpam-5678	160	36	10|ty|	10|ty|	NUM
ejpam-5678	160	37	2τ+1	2τ+1	NUM
ejpam-5678	160	38	2t3y3|1−φ|	2t3y3|1−φ|	NUM
ejpam-5678	161	1	|	|	ADV
ejpam-5678	161	2	15	15	NUM
ejpam-5678	161	3	(	(	PUNCT
ejpam-5678	161	4	2τ+1)t2y2−	2τ+1)t2y2−	NUM
ejpam-5678	161	5	2	2	NUM
ejpam-5678	161	6	9	9	NUM
ejpam-5678	161	7	(	(	PUNCT
ejpam-5678	161	8	τ+1)2(rty2+su)|	τ+1)2(rty2+su)|	PROPN
ejpam-5678	161	9	|1−	|1−	ADJ
ejpam-5678	161	10	φ|	φ|	NOUN
ejpam-5678	161	11	≤	≤	NOUN
ejpam-5678	161	12	π2	π2	ADJ
ejpam-5678	161	13	,	,	PUNCT
ejpam-5678	161	14	|1−	|1−	ADJ
ejpam-5678	161	15	φ|	φ|	X
ejpam-5678	161	16	≥	≥	NUM
ejpam-5678	161	17	π2	π2	ADJ
ejpam-5678	161	18	.	.	PUNCT
ejpam-5678	162	1	where	where	SCONJ
ejpam-5678	162	2	π2	π2	NOUN
ejpam-5678	162	3	=	=	SYM
ejpam-5678	162	4	1−	1−	NUM
ejpam-5678	162	5	10	10	NUM
ejpam-5678	162	6	(	(	PUNCT
ejpam-5678	162	7	τ	τ	X
ejpam-5678	162	8	+	+	X
ejpam-5678	162	9	1)2	1)2	NUM
ejpam-5678	162	10	(	(	PUNCT
ejpam-5678	162	11	rty2	rty2	PROPN
ejpam-5678	162	12	+	+	NUM
ejpam-5678	162	13	su	su	NOUN
ejpam-5678	162	14	)	)	PUNCT
ejpam-5678	162	15	(	(	PUNCT
ejpam-5678	162	16	2τ	2τ	NUM
ejpam-5678	162	17	+	+	CCONJ
ejpam-5678	162	18	1	1	X
ejpam-5678	162	19	)	)	PUNCT
ejpam-5678	162	20	t2y2	t2y2	NOUN
ejpam-5678	162	21	.	.	PUNCT
ejpam-5678	163	1	corollary	corollary	ADJ
ejpam-5678	163	2	2	2	NUM
ejpam-5678	163	3	.	.	PUNCT
ejpam-5678	164	1	let	let	VERB
ejpam-5678	164	2	l	l	PROPN
ejpam-5678	164	3	∈	∈	PROPN
ejpam-5678	164	4	ω	ω	PROPN
ejpam-5678	164	5	given	give	VERB
ejpam-5678	164	6	by	by	ADP
ejpam-5678	164	7	(	(	PUNCT
ejpam-5678	164	8	5	5	NUM
ejpam-5678	164	9	)	)	PUNCT
ejpam-5678	164	10	belongs	belong	VERB
ejpam-5678	164	11	to	to	ADP
ejpam-5678	164	12	the	the	DET
ejpam-5678	164	13	family	family	NOUN
ejpam-5678	164	14	fω(s	fω(s	PROPN
ejpam-5678	164	15	,	,	PUNCT
ejpam-5678	164	16	r	r	NOUN
ejpam-5678	164	17	,	,	PUNCT
ejpam-5678	164	18	u	u	NOUN
ejpam-5678	164	19	,	,	PUNCT
ejpam-5678	164	20	y	y	PROPN
ejpam-5678	164	21	,	,	PUNCT
ejpam-5678	164	22	t	t	PROPN
ejpam-5678	164	23	)	)	PUNCT
ejpam-5678	164	24	.	.	PUNCT
ejpam-5678	165	1	then	then	ADV
ejpam-5678	165	2	|c2|	|c2|	VERB
ejpam-5678	165	3	≤	≤	NOUN
ejpam-5678	165	4	ty	ty	INTJ
ejpam-5678	166	1	√	√	PROPN
ejpam-5678	166	2	2ty√∣∣[3	2ty√∣∣[3	NUM
ejpam-5678	166	3	5	5	NUM
ejpam-5678	166	4	t	t	NOUN
ejpam-5678	166	5	2y2	2y2	NUM
ejpam-5678	166	6	−	−	NOUN
ejpam-5678	166	7	8	8	NUM
ejpam-5678	166	8	9	9	NUM
ejpam-5678	166	9	(	(	PUNCT
ejpam-5678	166	10	rty	rty	NOUN
ejpam-5678	166	11	2	2	NUM
ejpam-5678	166	12	+	+	NUM
ejpam-5678	166	13	su	su	NOUN
ejpam-5678	166	14	)	)	PUNCT
ejpam-5678	167	1	]	]	PUNCT
ejpam-5678	167	2	∣∣	∣∣	NUM
ejpam-5678	167	3	,	,	PUNCT
ejpam-5678	167	4	|c3|	|c3|	ADJ
ejpam-5678	167	5	≤	≤	NOUN
ejpam-5678	167	6	9t2y2	9t2y2	NUM
ejpam-5678	167	7	4	4	NUM
ejpam-5678	167	8	+	+	NUM
ejpam-5678	167	9	10ty	10ty	NOUN
ejpam-5678	167	10	3	3	NUM
ejpam-5678	167	11	and	and	CCONJ
ejpam-5678	167	12	∣∣c3	∣∣c3	VERB
ejpam-5678	167	13	−	−	PROPN
ejpam-5678	167	14	φc22	φc22	PROPN
ejpam-5678	167	15	∣∣	∣∣	ADP
ejpam-5678	167	16	≤	≤	ADV
ejpam-5678	167	17			NUM
ejpam-5678	167	18	10|ty|	10|ty|	NUM
ejpam-5678	167	19	3	3	NUM
ejpam-5678	167	20	2t3y3|1−φ|	2t3y3|1−φ|	NUM
ejpam-5678	167	21	|	|	ADV
ejpam-5678	167	22	35	35	NUM
ejpam-5678	167	23	t2y2−	t2y2−	NUM
ejpam-5678	167	24	8	8	NUM
ejpam-5678	167	25	9	9	NUM
ejpam-5678	167	26	(	(	PUNCT
ejpam-5678	167	27	rty2+su)|	rty2+su)|	NOUN
ejpam-5678	167	28	|1−	|1−	NOUN
ejpam-5678	167	29	φ|	φ|	PROPN
ejpam-5678	167	30	≤	≤	NUM
ejpam-5678	167	31	π3	π3	NOUN
ejpam-5678	167	32	,	,	PUNCT
ejpam-5678	167	33	|1−	|1−	X
ejpam-5678	167	34	φ|	φ|	X
ejpam-5678	167	35	≥	≥	NUM
ejpam-5678	167	36	π3	π3	NOUN
ejpam-5678	167	37	.	.	PUNCT
ejpam-5678	168	1	where	where	SCONJ
ejpam-5678	168	2	π3	π3	NOUN
ejpam-5678	168	3	=	=	SYM
ejpam-5678	168	4	1−	1−	NUM
ejpam-5678	168	5	40(rty2	40(rty2	NUM
ejpam-5678	168	6	+	+	NUM
ejpam-5678	168	7	su	su	PROPN
ejpam-5678	168	8	)	)	PUNCT
ejpam-5678	168	9	3t2y2	3t2y2	NUM
ejpam-5678	168	10	.	.	PUNCT
ejpam-5678	169	1	corollary	corollary	ADJ
ejpam-5678	169	2	3	3	X
ejpam-5678	169	3	.	.	PUNCT
ejpam-5678	170	1	let	let	VERB
ejpam-5678	170	2	l	l	PROPN
ejpam-5678	170	3	∈	∈	PROPN
ejpam-5678	170	4	ω	ω	PROPN
ejpam-5678	170	5	given	give	VERB
ejpam-5678	170	6	by	by	ADP
ejpam-5678	170	7	(	(	PUNCT
ejpam-5678	170	8	5	5	NUM
ejpam-5678	170	9	)	)	PUNCT
ejpam-5678	170	10	belongs	belong	VERB
ejpam-5678	170	11	to	to	ADP
ejpam-5678	170	12	the	the	DET
ejpam-5678	170	13	family	family	NOUN
ejpam-5678	170	14	fω(s	fω(s	PROPN
ejpam-5678	170	15	,	,	PUNCT
ejpam-5678	170	16	r	r	NOUN
ejpam-5678	170	17	,	,	PUNCT
ejpam-5678	170	18	u	u	NOUN
ejpam-5678	170	19	,	,	PUNCT
ejpam-5678	170	20	y	y	PROPN
ejpam-5678	170	21	,	,	PUNCT
ejpam-5678	170	22	t	t	PROPN
ejpam-5678	170	23	,	,	PUNCT
ejpam-5678	170	24	0	0	NUM
ejpam-5678	170	25	)	)	PUNCT
ejpam-5678	170	26	.	.	PUNCT
ejpam-5678	171	1	then	then	ADV
ejpam-5678	171	2	|c2|	|c2|	VERB
ejpam-5678	171	3	≤	≤	NOUN
ejpam-5678	171	4	ty	ty	INTJ
ejpam-5678	172	1	√	√	NUM
ejpam-5678	172	2	2ty√∣∣[1	2ty√∣∣[1	NUM
ejpam-5678	172	3	5	5	NUM
ejpam-5678	172	4	t	t	NOUN
ejpam-5678	172	5	2y2	2y2	NUM
ejpam-5678	172	6	−	−	NOUN
ejpam-5678	172	7	2	2	NUM
ejpam-5678	172	8	9	9	NUM
ejpam-5678	172	9	(	(	PUNCT
ejpam-5678	172	10	rty	rty	NOUN
ejpam-5678	172	11	2	2	NUM
ejpam-5678	172	12	+	+	NUM
ejpam-5678	172	13	su	su	NOUN
ejpam-5678	172	14	)	)	PUNCT
ejpam-5678	172	15	]	]	PUNCT
ejpam-5678	172	16	∣∣	∣∣	NUM
ejpam-5678	172	17	,	,	PUNCT
ejpam-5678	172	18	|c3|	|c3|	ADJ
ejpam-5678	172	19	≤	≤	NOUN
ejpam-5678	172	20	9t2y2	9t2y2	NUM
ejpam-5678	172	21	+	+	CCONJ
ejpam-5678	172	22	10ty	10ty	NOUN
ejpam-5678	172	23	and	and	CCONJ
ejpam-5678	172	24	∣∣c3	∣∣c3	VERB
ejpam-5678	172	25	−	−	PROPN
ejpam-5678	172	26	φc22	φc22	PROPN
ejpam-5678	172	27	∣∣	∣∣	ADP
ejpam-5678	172	28	≤	≤	ADV
ejpam-5678	172	29			PROPN
ejpam-5678	172	30	10	10	NUM
ejpam-5678	172	31	|ty|	|ty|	NOUN
ejpam-5678	172	32	2t3y3|1−φ|	2t3y3|1−φ|	NUM
ejpam-5678	172	33	|	|	ADV
ejpam-5678	172	34	15	15	NUM
ejpam-5678	172	35	t2y2−	t2y2−	NUM
ejpam-5678	172	36	2	2	NUM
ejpam-5678	172	37	9	9	NUM
ejpam-5678	172	38	(	(	PUNCT
ejpam-5678	172	39	rty2+su)|	rty2+su)|	NOUN
ejpam-5678	172	40	|1−	|1−	NOUN
ejpam-5678	172	41	φ|	φ|	PROPN
ejpam-5678	172	42	≤	≤	NOUN
ejpam-5678	172	43	1−	1−	NUM
ejpam-5678	172	44	10(rty2+su	10(rty2+su	NUM
ejpam-5678	172	45	)	)	PUNCT
ejpam-5678	172	46	t2y2	t2y2	X
ejpam-5678	172	47	,	,	PUNCT
ejpam-5678	172	48	|1−	|1−	INTJ
ejpam-5678	172	49	φ|	φ|	X
ejpam-5678	172	50	≥	≥	NOUN
ejpam-5678	172	51	1−	1−	NUM
ejpam-5678	172	52	10(rty2+su	10(rty2+su	NUM
ejpam-5678	172	53	)	)	PUNCT
ejpam-5678	173	1	t2y2	t2y2	NOUN
ejpam-5678	173	2	.	.	PUNCT
ejpam-5678	174	1	the	the	DET
ejpam-5678	174	2	following	follow	VERB
ejpam-5678	174	3	corollary	corollary	NOUN
ejpam-5678	174	4	is	be	AUX
ejpam-5678	174	5	obtained	obtain	VERB
ejpam-5678	174	6	by	by	ADP
ejpam-5678	174	7	specializing	specialize	VERB
ejpam-5678	174	8	the	the	DET
ejpam-5678	174	9	parameters	parameter	NOUN
ejpam-5678	174	10	s	s	PART
ejpam-5678	174	11	,	,	PUNCT
ejpam-5678	174	12	r	r	NOUN
ejpam-5678	174	13	,	,	PUNCT
ejpam-5678	174	14	u	u	NOUN
ejpam-5678	174	15	and	and	CCONJ
ejpam-5678	174	16	t	t	PROPN
ejpam-5678	174	17	in	in	ADP
ejpam-5678	174	18	the	the	DET
ejpam-5678	174	19	aforementioned	aforementioned	ADJ
ejpam-5678	174	20	theorems	theorem	NOUN
ejpam-5678	174	21	in	in	ADP
ejpam-5678	174	22	section	section	NOUN
ejpam-5678	174	23	2	2	NUM
ejpam-5678	174	24	.	.	PUNCT
ejpam-5678	175	1	t.	t.	PROPN
ejpam-5678	175	2	al	al	PROPN
ejpam-5678	175	3	-	-	PUNCT
ejpam-5678	175	4	hawary	hawary	PROPN
ejpam-5678	175	5	et	et	PROPN
ejpam-5678	175	6	al	al	PROPN
ejpam-5678	175	7	.	.	PUNCT
ejpam-5678	175	8	/	/	SYM
ejpam-5678	175	9	eur	eur	PROPN
ejpam-5678	175	10	.	.	PUNCT
ejpam-5678	176	1	j.	j.	PROPN
ejpam-5678	176	2	pure	pure	PROPN
ejpam-5678	176	3	appl	appl	PROPN
ejpam-5678	176	4	.	.	PROPN
ejpam-5678	176	5	math	math	PROPN
ejpam-5678	176	6	,	,	PUNCT
ejpam-5678	176	7	18	18	NUM
ejpam-5678	176	8	(	(	PUNCT
ejpam-5678	176	9	1	1	NUM
ejpam-5678	176	10	)	)	PUNCT
ejpam-5678	176	11	(	(	PUNCT
ejpam-5678	176	12	2025	2025	NUM
ejpam-5678	176	13	)	)	PUNCT
ejpam-5678	176	14	,	,	PUNCT
ejpam-5678	176	15	5678	5678	NUM
ejpam-5678	176	16	10	10	NUM
ejpam-5678	176	17	of	of	ADP
ejpam-5678	176	18	12	12	NUM
ejpam-5678	176	19	corollary	corollary	ADJ
ejpam-5678	176	20	4	4	NUM
ejpam-5678	176	21	.	.	PUNCT
ejpam-5678	177	1	let	let	VERB
ejpam-5678	177	2	l	l	PROPN
ejpam-5678	177	3	∈	∈	PROPN
ejpam-5678	177	4	ω	ω	PROPN
ejpam-5678	177	5	given	give	VERB
ejpam-5678	177	6	by	by	ADP
ejpam-5678	177	7	(	(	PUNCT
ejpam-5678	177	8	5	5	NUM
ejpam-5678	177	9	)	)	PUNCT
ejpam-5678	177	10	belongs	belong	VERB
ejpam-5678	177	11	to	to	ADP
ejpam-5678	177	12	the	the	DET
ejpam-5678	177	13	family	family	NOUN
ejpam-5678	177	14	fω(1	fω(1	PROPN
ejpam-5678	177	15	,	,	PUNCT
ejpam-5678	177	16	2	2	NUM
ejpam-5678	177	17	,	,	PUNCT
ejpam-5678	177	18	1	1	NUM
ejpam-5678	177	19	,	,	PUNCT
ejpam-5678	177	20	y	y	PROPN
ejpam-5678	177	21	,	,	PUNCT
ejpam-5678	177	22	2	2	NUM
ejpam-5678	177	23	,	,	PUNCT
ejpam-5678	177	24	λ	λ	PROPN
ejpam-5678	177	25	,	,	PUNCT
ejpam-5678	177	26	τ	τ	PROPN
ejpam-5678	177	27	)	)	PUNCT
ejpam-5678	177	28	.	.	PUNCT
ejpam-5678	178	1	then	then	ADV
ejpam-5678	178	2	|c2|	|c2|	VERB
ejpam-5678	178	3	≤	≤	NOUN
ejpam-5678	178	4	4y	4y	PROPN
ejpam-5678	178	5	√	√	PROPN
ejpam-5678	178	6	y√∣∣∣[4	y√∣∣∣[4	PROPN
ejpam-5678	178	7	5	5	NUM
ejpam-5678	178	8	(	(	PUNCT
ejpam-5678	178	9	6λ+	6λ+	NUM
ejpam-5678	178	10	2τ	2τ	NUM
ejpam-5678	178	11	+	+	CCONJ
ejpam-5678	178	12	1	1	X
ejpam-5678	178	13	)	)	PUNCT
ejpam-5678	178	14	y2	y2	NOUN
ejpam-5678	178	15	−	−	NOUN
ejpam-5678	179	1	2	2	NUM
ejpam-5678	179	2	9	9	NUM
ejpam-5678	179	3	(	(	PUNCT
ejpam-5678	179	4	2λ+	2λ+	NUM
ejpam-5678	179	5	τ	τ	X
ejpam-5678	179	6	+	+	PROPN
ejpam-5678	179	7	1)2	1)2	NUM
ejpam-5678	179	8	(	(	PUNCT
ejpam-5678	179	9	4y2	4y2	NOUN
ejpam-5678	179	10	+	+	CCONJ
ejpam-5678	179	11	1	1	NUM
ejpam-5678	179	12	)	)	PUNCT
ejpam-5678	179	13	]	]	PUNCT
ejpam-5678	179	14	∣∣∣	∣∣∣	NOUN
ejpam-5678	179	15	and	and	CCONJ
ejpam-5678	179	16	|c3|	|c3|	ADJ
ejpam-5678	179	17	≤	≤	NOUN
ejpam-5678	179	18	36y2	36y2	NUM
ejpam-5678	179	19	(	(	PUNCT
ejpam-5678	179	20	2λ+	2λ+	NUM
ejpam-5678	179	21	τ	τ	X
ejpam-5678	179	22	+	+	CCONJ
ejpam-5678	179	23	1)2	1)2	NUM
ejpam-5678	179	24	+	+	CCONJ
ejpam-5678	179	25	102y	102y	PROPN
ejpam-5678	179	26	6λ+	6λ+	NUM
ejpam-5678	179	27	2τ	2τ	NUM
ejpam-5678	179	28	+	+	CCONJ
ejpam-5678	179	29	1	1	X
ejpam-5678	179	30	.	.	PUNCT
ejpam-5678	180	1	and	and	CCONJ
ejpam-5678	180	2	∣∣c3	∣∣c3	VERB
ejpam-5678	180	3	−	−	PROPN
ejpam-5678	180	4	φc22	φc22	PROPN
ejpam-5678	180	5	∣∣	∣∣	ADP
ejpam-5678	180	6	≤	≤	ADV
ejpam-5678	180	7			PROPN
ejpam-5678	180	8	20|y|	20|y|	NUM
ejpam-5678	180	9	6λ+2τ+1	6λ+2τ+1	NUM
ejpam-5678	180	10	16y3|1−φ|	16y3|1−φ|	NUM
ejpam-5678	180	11	|	|	ADV
ejpam-5678	180	12	15	15	NUM
ejpam-5678	180	13	(	(	PUNCT
ejpam-5678	180	14	6λ+2τ+1)t2y2−	6λ+2τ+1)t2y2−	NUM
ejpam-5678	180	15	2	2	NUM
ejpam-5678	180	16	9	9	NUM
ejpam-5678	180	17	(	(	PUNCT
ejpam-5678	180	18	2λ+τ+1)2(4y2	2λ+τ+1)2(4y2	PROPN
ejpam-5678	180	19	+	+	PROPN
ejpam-5678	180	20	1)|	1)|	NUM
ejpam-5678	180	21	|1−	|1−	ADJ
ejpam-5678	180	22	φ|	φ|	PROPN
ejpam-5678	180	23	≤	≤	NUM
ejpam-5678	180	24	π4	π4	NOUN
ejpam-5678	180	25	,	,	PUNCT
ejpam-5678	180	26	|1−	|1−	PROPN
ejpam-5678	180	27	φ|	φ|	PROPN
ejpam-5678	180	28	≥	≥	NUM
ejpam-5678	180	29	π4	π4	NOUN
ejpam-5678	180	30	.	.	PUNCT
ejpam-5678	181	1	where	where	SCONJ
ejpam-5678	181	2	π4	π4	AUX
ejpam-5678	181	3	=	=	SYM
ejpam-5678	181	4	1−	1−	NUM
ejpam-5678	181	5	10	10	NUM
ejpam-5678	181	6	(	(	PUNCT
ejpam-5678	181	7	2λ+	2λ+	NUM
ejpam-5678	181	8	τ	τ	X
ejpam-5678	181	9	+	+	PROPN
ejpam-5678	182	1	1)2	1)2	NUM
ejpam-5678	182	2	(	(	PUNCT
ejpam-5678	182	3	4y2	4y2	NOUN
ejpam-5678	182	4	+	+	CCONJ
ejpam-5678	182	5	1	1	NUM
ejpam-5678	182	6	)	)	PUNCT
ejpam-5678	182	7	(	(	PUNCT
ejpam-5678	182	8	6λ+	6λ+	NUM
ejpam-5678	182	9	2τ	2τ	NUM
ejpam-5678	182	10	+	+	CCONJ
ejpam-5678	182	11	1	1	X
ejpam-5678	182	12	)	)	PUNCT
ejpam-5678	182	13	4y2	4y2	NUM
ejpam-5678	182	14	.	.	PUNCT
ejpam-5678	183	1	4	4	X
ejpam-5678	183	2	.	.	X
ejpam-5678	183	3	conclusions	conclusion	NOUN
ejpam-5678	183	4	in	in	ADP
ejpam-5678	183	5	this	this	DET
ejpam-5678	183	6	paper	paper	NOUN
ejpam-5678	183	7	,	,	PUNCT
ejpam-5678	183	8	we	we	PRON
ejpam-5678	183	9	defined	define	VERB
ejpam-5678	183	10	a	a	DET
ejpam-5678	183	11	comprehensive	comprehensive	ADJ
ejpam-5678	183	12	family	family	NOUN
ejpam-5678	183	13	of	of	ADP
ejpam-5678	183	14	analytic	analytic	ADJ
ejpam-5678	183	15	and	and	CCONJ
ejpam-5678	183	16	bi	bi	ADJ
ejpam-5678	183	17	-	-	ADJ
ejpam-5678	183	18	univalent	univalent	ADJ
ejpam-5678	183	19	functions	function	NOUN
ejpam-5678	183	20	related	relate	VERB
ejpam-5678	183	21	to	to	ADP
ejpam-5678	183	22	imaginary	imaginary	ADJ
ejpam-5678	183	23	error	error	NOUN
ejpam-5678	183	24	function	function	NOUN
ejpam-5678	183	25	and	and	CCONJ
ejpam-5678	183	26	subordinate	subordinate	VERB
ejpam-5678	183	27	to	to	PART
ejpam-5678	183	28	horadam	horadam	NOUN
ejpam-5678	183	29	polynomials	polynomial	NOUN
ejpam-5678	183	30	denoted	denote	VERB
ejpam-5678	183	31	by	by	ADP
ejpam-5678	183	32	fω(s	fω(s	PROPN
ejpam-5678	183	33	,	,	PUNCT
ejpam-5678	183	34	r	r	NOUN
ejpam-5678	183	35	,	,	PUNCT
ejpam-5678	183	36	u	u	NOUN
ejpam-5678	183	37	,	,	PUNCT
ejpam-5678	183	38	y	y	PROPN
ejpam-5678	183	39	,	,	PUNCT
ejpam-5678	183	40	t	t	PROPN
ejpam-5678	183	41	,	,	PUNCT
ejpam-5678	183	42	λ	λ	PROPN
ejpam-5678	183	43	,	,	PUNCT
ejpam-5678	183	44	τ	τ	PROPN
ejpam-5678	183	45	)	)	PUNCT
ejpam-5678	183	46	.	.	PUNCT
ejpam-5678	184	1	we	we	PRON
ejpam-5678	184	2	estimated	estimate	VERB
ejpam-5678	184	3	for	for	ADP
ejpam-5678	184	4	the	the	DET
ejpam-5678	184	5	maclaurin	maclaurin	NOUN
ejpam-5678	184	6	coefficients	coefficient	NOUN
ejpam-5678	184	7	|c2|	|c2|	PROPN
ejpam-5678	184	8	,	,	PUNCT
ejpam-5678	184	9	|c3|	|c3|	ADJ
ejpam-5678	184	10	and	and	CCONJ
ejpam-5678	184	11	fekete	fekete	PROPN
ejpam-5678	184	12	-	-	PUNCT
ejpam-5678	184	13	szegö	szegö	PROPN
ejpam-5678	184	14	problems	problem	NOUN
ejpam-5678	184	15	.	.	PUNCT
ejpam-5678	185	1	furthermore	furthermore	ADV
ejpam-5678	185	2	,	,	PUNCT
ejpam-5678	185	3	by	by	ADP
ejpam-5678	185	4	specializing	specialize	VERB
ejpam-5678	185	5	the	the	DET
ejpam-5678	185	6	parameters	parameter	NOUN
ejpam-5678	185	7	s	s	PART
ejpam-5678	185	8	,	,	PUNCT
ejpam-5678	185	9	r	r	NOUN
ejpam-5678	185	10	,	,	PUNCT
ejpam-5678	185	11	u	u	NOUN
ejpam-5678	185	12	,	,	PUNCT
ejpam-5678	185	13	t	t	PROPN
ejpam-5678	185	14	,	,	PUNCT
ejpam-5678	185	15	λ	λ	PROPN
ejpam-5678	185	16	and	and	CCONJ
ejpam-5678	185	17	τ	τ	PROPN
ejpam-5678	185	18	,	,	PUNCT
ejpam-5678	185	19	one	one	PRON
ejpam-5678	185	20	may	may	AUX
ejpam-5678	185	21	determine	determine	VERB
ejpam-5678	185	22	the	the	DET
ejpam-5678	185	23	outcomes	outcome	NOUN
ejpam-5678	185	24	for	for	ADP
ejpam-5678	185	25	the	the	DET
ejpam-5678	185	26	subfamilies	subfamily	NOUN
ejpam-5678	185	27	fω(s	fω(s	NOUN
ejpam-5678	185	28	,	,	PUNCT
ejpam-5678	185	29	r	r	NOUN
ejpam-5678	185	30	,	,	PUNCT
ejpam-5678	185	31	u	u	NOUN
ejpam-5678	185	32	,	,	PUNCT
ejpam-5678	185	33	y	y	PROPN
ejpam-5678	185	34	,	,	PUNCT
ejpam-5678	185	35	t	t	PROPN
ejpam-5678	185	36	,	,	PUNCT
ejpam-5678	185	37	τ	τ	PROPN
ejpam-5678	185	38	)	)	PUNCT
ejpam-5678	185	39	,	,	PUNCT
ejpam-5678	185	40	fω(s	fω(s	PROPN
ejpam-5678	185	41	,	,	PUNCT
ejpam-5678	185	42	r	r	NOUN
ejpam-5678	185	43	,	,	PUNCT
ejpam-5678	185	44	u	u	NOUN
ejpam-5678	185	45	,	,	PUNCT
ejpam-5678	185	46	y	y	PROPN
ejpam-5678	185	47	,	,	PUNCT
ejpam-5678	185	48	t	t	PROPN
ejpam-5678	185	49	)	)	PUNCT
ejpam-5678	185	50	,	,	PUNCT
ejpam-5678	185	51	fω(s	fω(s	PROPN
ejpam-5678	185	52	,	,	PUNCT
ejpam-5678	185	53	r	r	NOUN
ejpam-5678	185	54	,	,	PUNCT
ejpam-5678	185	55	u	u	NOUN
ejpam-5678	185	56	,	,	PUNCT
ejpam-5678	185	57	y	y	PROPN
ejpam-5678	185	58	,	,	PUNCT
ejpam-5678	185	59	t	t	PROPN
ejpam-5678	185	60	,	,	PUNCT
ejpam-5678	185	61	0	0	NUM
ejpam-5678	185	62	)	)	PUNCT
ejpam-5678	185	63	and	and	CCONJ
ejpam-5678	185	64	fω(1	fω(1	PROPN
ejpam-5678	185	65	,	,	PUNCT
ejpam-5678	185	66	2	2	NUM
ejpam-5678	185	67	,	,	PUNCT
ejpam-5678	185	68	1	1	NUM
ejpam-5678	185	69	,	,	PUNCT
ejpam-5678	185	70	y	y	PROPN
ejpam-5678	185	71	,	,	PUNCT
ejpam-5678	185	72	2	2	NUM
ejpam-5678	185	73	,	,	PUNCT
ejpam-5678	185	74	λ	λ	PROPN
ejpam-5678	185	75	,	,	PUNCT
ejpam-5678	185	76	τ	τ	X
ejpam-5678	185	77	)	)	PUNCT
ejpam-5678	185	78	specified	specify	VERB
ejpam-5678	185	79	in	in	ADP
ejpam-5678	185	80	examples	example	NOUN
ejpam-5678	185	81	1	1	NUM
ejpam-5678	185	82	,	,	PUNCT
ejpam-5678	185	83	2	2	NUM
ejpam-5678	185	84	,	,	PUNCT
ejpam-5678	185	85	3	3	NUM
ejpam-5678	185	86	and	and	CCONJ
ejpam-5678	185	87	4	4	NUM
ejpam-5678	185	88	,	,	PUNCT
ejpam-5678	185	89	respectively	respectively	ADV
ejpam-5678	185	90	.	.	PUNCT
ejpam-5678	186	1	making	make	VERB
ejpam-5678	186	2	use	use	NOUN
ejpam-5678	186	3	of	of	ADP
ejpam-5678	186	4	normalized	normalize	VERB
ejpam-5678	186	5	error	error	NOUN
ejpam-5678	186	6	function	function	NOUN
ejpam-5678	186	7	could	could	AUX
ejpam-5678	186	8	inspire	inspire	VERB
ejpam-5678	186	9	researchers	researcher	NOUN
ejpam-5678	186	10	to	to	PART
ejpam-5678	186	11	find	find	VERB
ejpam-5678	186	12	the	the	DET
ejpam-5678	186	13	estimates	estimate	NOUN
ejpam-5678	186	14	of	of	ADP
ejpam-5678	186	15	the	the	DET
ejpam-5678	186	16	coefficients	coefficient	NOUN
ejpam-5678	186	17	|c2|	|c2|	PROPN
ejpam-5678	186	18	,	,	PUNCT
ejpam-5678	186	19	|c3|	|c3|	ADJ
ejpam-5678	186	20	and	and	CCONJ
ejpam-5678	186	21	fekete	fekete	PROPN
ejpam-5678	186	22	-	-	PUNCT
ejpam-5678	186	23	szegö	szegö	VERB
ejpam-5678	186	24	problems	problem	NOUN
ejpam-5678	186	25	for	for	ADP
ejpam-5678	186	26	functions	function	NOUN
ejpam-5678	186	27	belonging	belong	VERB
ejpam-5678	186	28	to	to	ADP
ejpam-5678	186	29	new	new	ADJ
ejpam-5678	186	30	subfamily	subfamily	ADV
ejpam-5678	186	31	of	of	ADP
ejpam-5678	186	32	bi	bi	ADJ
ejpam-5678	186	33	-	-	ADJ
ejpam-5678	186	34	univalent	univalent	ADJ
ejpam-5678	186	35	functions	function	NOUN
ejpam-5678	186	36	.	.	PUNCT
ejpam-5678	187	1	references	reference	NOUN
ejpam-5678	187	2	[	[	X
ejpam-5678	187	3	1	1	NUM
ejpam-5678	187	4	]	]	PUNCT
ejpam-5678	187	5	c.	c.	PROPN
ejpam-5678	187	6	abirami	abirami	PROPN
ejpam-5678	187	7	,	,	PUNCT
ejpam-5678	187	8	n.	n.	PROPN
ejpam-5678	187	9	magesh	magesh	PROPN
ejpam-5678	187	10	,	,	PUNCT
ejpam-5678	187	11	and	and	CCONJ
ejpam-5678	187	12	j.	j.	PROPN
ejpam-5678	187	13	yamini	yamini	PROPN
ejpam-5678	187	14	.	.	PROPN
ejpam-5678	188	1	initial	initial	ADJ
ejpam-5678	188	2	bounds	bound	NOUN
ejpam-5678	188	3	for	for	ADP
ejpam-5678	188	4	certain	certain	ADJ
ejpam-5678	188	5	classes	class	NOUN
ejpam-5678	188	6	of	of	ADP
ejpam-5678	188	7	biunivalent	biunivalent	NOUN
ejpam-5678	188	8	functions	function	NOUN
ejpam-5678	188	9	defined	define	VERB
ejpam-5678	188	10	by	by	ADP
ejpam-5678	188	11	horadam	horadam	PROPN
ejpam-5678	188	12	polynomial	polynomial	ADJ
ejpam-5678	188	13	.	.	PUNCT
ejpam-5678	189	1	abst	abst	PROPN
ejpam-5678	189	2	.	.	PROPN
ejpam-5678	189	3	appl	appl	PROPN
ejpam-5678	189	4	.	.	PUNCT
ejpam-5678	190	1	anal	anal	PROPN
ejpam-5678	190	2	.	.	PROPN
ejpam-5678	190	3	,	,	PUNCT
ejpam-5678	190	4	2020:7391058	2020:7391058	NUM
ejpam-5678	190	5	,	,	PUNCT
ejpam-5678	190	6	2020	2020	NUM
ejpam-5678	190	7	.	.	PUNCT
ejpam-5678	191	1	[	[	X
ejpam-5678	191	2	2	2	X
ejpam-5678	191	3	]	]	PUNCT
ejpam-5678	191	4	h.	h.	PROPN
ejpam-5678	191	5	alzer	alzer	PROPN
ejpam-5678	191	6	.	.	PUNCT
ejpam-5678	191	7	error	error	NOUN
ejpam-5678	191	8	function	function	NOUN
ejpam-5678	191	9	inequalities	inequality	NOUN
ejpam-5678	191	10	.	.	PUNCT
ejpam-5678	192	1	adv	adv	PROPN
ejpam-5678	192	2	.	.	PUNCT
ejpam-5678	193	1	comput	comput	PROPN
ejpam-5678	193	2	.	.	PUNCT
ejpam-5678	194	1	math	math	NOUN
ejpam-5678	194	2	.	.	PUNCT
ejpam-5678	194	3	,	,	PUNCT
ejpam-5678	194	4	33(3):349–379	33(3):349–379	PROPN
ejpam-5678	194	5	,	,	PUNCT
ejpam-5678	194	6	2010	2010	NUM
ejpam-5678	194	7	.	.	PUNCT
ejpam-5678	195	1	[	[	X
ejpam-5678	195	2	3	3	NUM
ejpam-5678	195	3	]	]	PUNCT
ejpam-5678	195	4	a.	a.	NOUN
ejpam-5678	195	5	amourah	amourah	PROPN
ejpam-5678	195	6	,	,	PUNCT
ejpam-5678	195	7	t.	t.	PROPN
ejpam-5678	195	8	al	al	PROPN
ejpam-5678	195	9	-	-	PUNCT
ejpam-5678	195	10	hawary	hawary	PROPN
ejpam-5678	195	11	,	,	PUNCT
ejpam-5678	195	12	and	and	CCONJ
ejpam-5678	195	13	b.	b.	PROPN
ejpam-5678	195	14	a.	a.	PROPN
ejpam-5678	195	15	frasin	frasin	PROPN
ejpam-5678	195	16	.	.	PUNCT
ejpam-5678	196	1	application	application	NOUN
ejpam-5678	196	2	of	of	ADP
ejpam-5678	196	3	chebyshev	chebyshev	NOUN
ejpam-5678	196	4	polynomials	polynomial	NOUN
ejpam-5678	196	5	to	to	ADP
ejpam-5678	196	6	certain	certain	ADJ
ejpam-5678	196	7	class	class	NOUN
ejpam-5678	196	8	of	of	ADP
ejpam-5678	196	9	bi	bi	ADJ
ejpam-5678	196	10	-	-	ADJ
ejpam-5678	196	11	bazilevič	bazilevič	NOUN
ejpam-5678	196	12	functions	function	NOUN
ejpam-5678	196	13	of	of	ADP
ejpam-5678	196	14	order	order	NOUN
ejpam-5678	196	15	α	α	NOUN
ejpam-5678	196	16	+	+	CCONJ
ejpam-5678	196	17	iβ	iβ	PROPN
ejpam-5678	196	18	.	.	PROPN
ejpam-5678	196	19	afr	afr	PROPN
ejpam-5678	196	20	.	.	PUNCT
ejpam-5678	197	1	mat	mat	PROPN
ejpam-5678	197	2	.	.	PROPN
ejpam-5678	197	3	,	,	PUNCT
ejpam-5678	197	4	32:1059–1066	32:1059–1066	PROPN
ejpam-5678	197	5	,	,	PUNCT
ejpam-5678	197	6	2021	2021	NUM
ejpam-5678	197	7	.	.	PUNCT
ejpam-5678	198	1	[	[	X
ejpam-5678	198	2	4	4	X
ejpam-5678	198	3	]	]	PUNCT
ejpam-5678	198	4	f.	f.	PROPN
ejpam-5678	198	5	yousef	yousef	PROPN
ejpam-5678	198	6	b.	b.	PROPN
ejpam-5678	198	7	a.	a.	PROPN
ejpam-5678	198	8	frasin	frasin	PROPN
ejpam-5678	198	9	,	,	PUNCT
ejpam-5678	198	10	t.	t.	PROPN
ejpam-5678	198	11	al	al	PROPN
ejpam-5678	198	12	-	-	PUNCT
ejpam-5678	198	13	hawary	hawary	PROPN
ejpam-5678	198	14	and	and	CCONJ
ejpam-5678	198	15	i.	i.	PROPN
ejpam-5678	198	16	aldawish	aldawish	PROPN
ejpam-5678	198	17	.	.	PUNCT
ejpam-5678	199	1	on	on	ADP
ejpam-5678	199	2	subclasses	subclass	NOUN
ejpam-5678	199	3	of	of	ADP
ejpam-5678	199	4	analytic	analytic	ADJ
ejpam-5678	199	5	functions	function	NOUN
ejpam-5678	199	6	associated	associate	VERB
ejpam-5678	199	7	with	with	ADP
ejpam-5678	199	8	struve	struve	PROPN
ejpam-5678	199	9	functions	function	NOUN
ejpam-5678	199	10	.	.	PUNCT
ejpam-5678	200	1	nonlinear	nonlinear	ADJ
ejpam-5678	200	2	functional	functional	ADJ
ejpam-5678	200	3	analysis	analysis	NOUN
ejpam-5678	200	4	and	and	CCONJ
ejpam-5678	200	5	applications	application	NOUN
ejpam-5678	200	6	,	,	PUNCT
ejpam-5678	200	7	27(1):99–110	27(1):99–110	NUM
ejpam-5678	200	8	,	,	PUNCT
ejpam-5678	200	9	2022	2022	NUM
ejpam-5678	200	10	.	.	PUNCT
ejpam-5678	201	1	[	[	X
ejpam-5678	201	2	5	5	X
ejpam-5678	201	3	]	]	PUNCT
ejpam-5678	201	4	h.	h.	PROPN
ejpam-5678	201	5	bateman	bateman	PROPN
ejpam-5678	201	6	.	.	PUNCT
ejpam-5678	201	7	higher	high	ADJ
ejpam-5678	201	8	transcendental	transcendental	ADJ
ejpam-5678	201	9	functions	function	NOUN
ejpam-5678	201	10	.	.	PUNCT
ejpam-5678	202	1	mcgraw	mcgraw	PROPN
ejpam-5678	202	2	-	-	PUNCT
ejpam-5678	202	3	hill	hill	PROPN
ejpam-5678	202	4	,	,	PUNCT
ejpam-5678	202	5	1953	1953	NUM
ejpam-5678	202	6	.	.	PUNCT
ejpam-5678	203	1	t.	t.	PROPN
ejpam-5678	203	2	al	al	PROPN
ejpam-5678	203	3	-	-	PUNCT
ejpam-5678	203	4	hawary	hawary	PROPN
ejpam-5678	203	5	et	et	PROPN
ejpam-5678	203	6	al	al	PROPN
ejpam-5678	203	7	.	.	PUNCT
ejpam-5678	203	8	/	/	SYM
ejpam-5678	203	9	eur	eur	PROPN
ejpam-5678	203	10	.	.	PUNCT
ejpam-5678	204	1	j.	j.	PROPN
ejpam-5678	204	2	pure	pure	PROPN
ejpam-5678	204	3	appl	appl	PROPN
ejpam-5678	204	4	.	.	PROPN
ejpam-5678	204	5	math	math	PROPN
ejpam-5678	204	6	,	,	PUNCT
ejpam-5678	204	7	18	18	NUM
ejpam-5678	204	8	(	(	PUNCT
ejpam-5678	204	9	1	1	NUM
ejpam-5678	204	10	)	)	PUNCT
ejpam-5678	204	11	(	(	PUNCT
ejpam-5678	204	12	2025	2025	NUM
ejpam-5678	204	13	)	)	PUNCT
ejpam-5678	204	14	,	,	PUNCT
ejpam-5678	204	15	5678	5678	NUM
ejpam-5678	204	16	11	11	NUM
ejpam-5678	204	17	of	of	ADP
ejpam-5678	204	18	12	12	NUM
ejpam-5678	204	19	[	[	SYM
ejpam-5678	204	20	6	6	NUM
ejpam-5678	204	21	]	]	PUNCT
ejpam-5678	204	22	d.	d.	PROPN
ejpam-5678	204	23	a.	a.	PROPN
ejpam-5678	204	24	brannan	brannan	PROPN
ejpam-5678	204	25	and	and	CCONJ
ejpam-5678	204	26	t.	t.	PROPN
ejpam-5678	204	27	s.	s.	PROPN
ejpam-5678	204	28	taha	taha	PROPN
ejpam-5678	204	29	.	.	PUNCT
ejpam-5678	205	1	on	on	ADP
ejpam-5678	205	2	some	some	DET
ejpam-5678	205	3	classes	class	NOUN
ejpam-5678	205	4	of	of	ADP
ejpam-5678	205	5	bi	bi	ADJ
ejpam-5678	205	6	-	-	ADJ
ejpam-5678	205	7	univalent	univalent	ADJ
ejpam-5678	205	8	functions	function	NOUN
ejpam-5678	205	9	.	.	PUNCT
ejpam-5678	206	1	in	in	ADP
ejpam-5678	206	2	s.	s.	PROPN
ejpam-5678	206	3	m.	m.	PROPN
ejpam-5678	206	4	mazhar	mazhar	PROPN
ejpam-5678	206	5	,	,	PUNCT
ejpam-5678	206	6	a.	a.	PROPN
ejpam-5678	206	7	hamoui	hamoui	PROPN
ejpam-5678	206	8	,	,	PUNCT
ejpam-5678	206	9	and	and	CCONJ
ejpam-5678	206	10	n.	n.	PROPN
ejpam-5678	206	11	s.	s.	PROPN
ejpam-5678	206	12	faour	faour	PROPN
ejpam-5678	206	13	,	,	PUNCT
ejpam-5678	206	14	editors	editor	NOUN
ejpam-5678	206	15	,	,	PUNCT
ejpam-5678	206	16	proceedings	proceeding	NOUN
ejpam-5678	206	17	of	of	ADP
ejpam-5678	206	18	the	the	DET
ejpam-5678	206	19	international	international	ADJ
ejpam-5678	206	20	conference	conference	NOUN
ejpam-5678	206	21	on	on	ADP
ejpam-5678	206	22	mathematical	mathematical	ADJ
ejpam-5678	206	23	analysis	analysis	NOUN
ejpam-5678	206	24	and	and	CCONJ
ejpam-5678	206	25	its	its	PRON
ejpam-5678	206	26	applications	application	NOUN
ejpam-5678	206	27	,	,	PUNCT
ejpam-5678	206	28	kfas	kfas	PROPN
ejpam-5678	206	29	proceedings	proceeding	NOUN
ejpam-5678	206	30	series	series	PROPN
ejpam-5678	206	31	,	,	PUNCT
ejpam-5678	206	32	pages	page	NOUN
ejpam-5678	206	33	53–60	53–60	PROPN
ejpam-5678	206	34	,	,	PUNCT
ejpam-5678	206	35	oxford	oxford	PROPN
ejpam-5678	206	36	,	,	PUNCT
ejpam-5678	206	37	uk	uk	PROPN
ejpam-5678	206	38	,	,	PUNCT
ejpam-5678	206	39	1988	1988	NUM
ejpam-5678	206	40	.	.	PUNCT
ejpam-5678	207	1	pergamon	pergamon	PROPN
ejpam-5678	207	2	press	press	PROPN
ejpam-5678	207	3	(	(	PUNCT
ejpam-5678	207	4	elsevier	elsevier	PROPN
ejpam-5678	207	5	science	science	PROPN
ejpam-5678	207	6	limited	limit	VERB
ejpam-5678	207	7	)	)	PUNCT
ejpam-5678	207	8	.	.	PUNCT
ejpam-5678	208	1	[	[	X
ejpam-5678	208	2	7	7	X
ejpam-5678	208	3	]	]	X
ejpam-5678	208	4	s.	s.	PROPN
ejpam-5678	208	5	bulut	bulut	PROPN
ejpam-5678	208	6	.	.	PUNCT
ejpam-5678	209	1	coefficient	coefficient	NOUN
ejpam-5678	209	2	estimates	estimate	NOUN
ejpam-5678	209	3	for	for	ADP
ejpam-5678	209	4	a	a	DET
ejpam-5678	209	5	class	class	NOUN
ejpam-5678	209	6	of	of	ADP
ejpam-5678	209	7	analytic	analytic	ADJ
ejpam-5678	209	8	and	and	CCONJ
ejpam-5678	209	9	bi	bi	ADJ
ejpam-5678	209	10	-	-	ADJ
ejpam-5678	209	11	univalent	univalent	ADJ
ejpam-5678	209	12	functions	function	NOUN
ejpam-5678	209	13	.	.	PUNCT
ejpam-5678	210	1	novi	novi	PROPN
ejpam-5678	210	2	.	.	PUNCT
ejpam-5678	211	1	sad	sad	PROPN
ejpam-5678	211	2	.	.	PUNCT
ejpam-5678	212	1	j.	j.	PROPN
ejpam-5678	212	2	math	math	PROPN
ejpam-5678	212	3	.	.	PUNCT
ejpam-5678	212	4	,	,	PUNCT
ejpam-5678	212	5	43:59–65	43:59–65	NUM
ejpam-5678	212	6	,	,	PUNCT
ejpam-5678	212	7	2013	2013	NUM
ejpam-5678	212	8	.	.	PUNCT
ejpam-5678	213	1	[	[	X
ejpam-5678	213	2	8	8	NUM
ejpam-5678	213	3	]	]	PUNCT
ejpam-5678	213	4	l.	l.	PROPN
ejpam-5678	213	5	vanitha	vanitha	PROPN
ejpam-5678	213	6	c.	c.	PROPN
ejpam-5678	213	7	ramachandran	ramachandran	PROPN
ejpam-5678	213	8	and	and	CCONJ
ejpam-5678	213	9	s.	s.	PROPN
ejpam-5678	213	10	kanas	kanas	PROPN
ejpam-5678	213	11	.	.	PUNCT
ejpam-5678	214	1	certain	certain	ADJ
ejpam-5678	214	2	results	result	NOUN
ejpam-5678	214	3	on	on	ADP
ejpam-5678	214	4	q	q	ADJ
ejpam-5678	214	5	-	-	PUNCT
ejpam-5678	214	6	starlike	starlike	ADJ
ejpam-5678	214	7	and	and	CCONJ
ejpam-5678	214	8	q	q	ADJ
ejpam-5678	214	9	-	-	PUNCT
ejpam-5678	214	10	convex	convex	NOUN
ejpam-5678	214	11	error	error	NOUN
ejpam-5678	214	12	functions	function	NOUN
ejpam-5678	214	13	.	.	PUNCT
ejpam-5678	215	1	math	math	NOUN
ejpam-5678	215	2	.	.	PUNCT
ejpam-5678	216	1	slovaca	slovaca	PROPN
ejpam-5678	216	2	,	,	PUNCT
ejpam-5678	216	3	68(2):361–368	68(2):361–368	PROPN
ejpam-5678	216	4	,	,	PUNCT
ejpam-5678	216	5	2018	2018	NUM
ejpam-5678	216	6	.	.	PUNCT
ejpam-5678	217	1	[	[	X
ejpam-5678	217	2	9	9	NUM
ejpam-5678	217	3	]	]	PUNCT
ejpam-5678	217	4	m.	m.	NOUN
ejpam-5678	217	5	a.	a.	PROPN
ejpam-5678	217	6	chaudhry	chaudhry	PROPN
ejpam-5678	217	7	,	,	PUNCT
ejpam-5678	217	8	a.	a.	PROPN
ejpam-5678	217	9	qadir	qadir	PROPN
ejpam-5678	217	10	,	,	PUNCT
ejpam-5678	217	11	and	and	CCONJ
ejpam-5678	217	12	s.	s.	PROPN
ejpam-5678	217	13	m.	m.	PROPN
ejpam-5678	217	14	zubair	zubair	PROPN
ejpam-5678	217	15	.	.	PROPN
ejpam-5678	217	16	generalized	generalize	VERB
ejpam-5678	217	17	error	error	NOUN
ejpam-5678	217	18	functions	function	NOUN
ejpam-5678	217	19	with	with	ADP
ejpam-5678	217	20	applications	application	NOUN
ejpam-5678	217	21	to	to	PART
ejpam-5678	217	22	probability	probability	NOUN
ejpam-5678	217	23	and	and	CCONJ
ejpam-5678	217	24	heat	heat	NOUN
ejpam-5678	217	25	conduction	conduction	NOUN
ejpam-5678	217	26	.	.	PUNCT
ejpam-5678	218	1	int	int	NOUN
ejpam-5678	218	2	.	.	PUNCT
ejpam-5678	219	1	j.	j.	PROPN
ejpam-5678	219	2	appl	appl	PROPN
ejpam-5678	219	3	.	.	PROPN
ejpam-5678	219	4	math	math	PROPN
ejpam-5678	219	5	.	.	PUNCT
ejpam-5678	220	1	,	,	PUNCT
ejpam-5678	220	2	9:259–278	9:259–278	NOUN
ejpam-5678	220	3	,	,	PUNCT
ejpam-5678	220	4	2002	2002	NUM
ejpam-5678	220	5	.	.	PUNCT
ejpam-5678	221	1	[	[	X
ejpam-5678	221	2	10	10	NUM
ejpam-5678	221	3	]	]	X
ejpam-5678	221	4	d.	d.	PROPN
ejpam-5678	221	5	coman	coman	PROPN
ejpam-5678	221	6	.	.	PUNCT
ejpam-5678	222	1	the	the	DET
ejpam-5678	222	2	radius	radius	NOUN
ejpam-5678	222	3	of	of	ADP
ejpam-5678	222	4	starlikeness	starlikeness	NOUN
ejpam-5678	222	5	for	for	ADP
ejpam-5678	222	6	the	the	DET
ejpam-5678	222	7	error	error	NOUN
ejpam-5678	222	8	function	function	NOUN
ejpam-5678	222	9	.	.	PUNCT
ejpam-5678	223	1	stud	stud	PROPN
ejpam-5678	223	2	.	.	PUNCT
ejpam-5678	224	1	univ	univ	PROPN
ejpam-5678	224	2	.	.	PUNCT
ejpam-5678	225	1	babe	babe	NOUN
ejpam-5678	225	2	s	s	NOUN
ejpam-5678	225	3	-	-	PUNCT
ejpam-5678	225	4	bolyai	bolyai	NOUN
ejpam-5678	225	5	math	math	NOUN
ejpam-5678	225	6	.	.	PUNCT
ejpam-5678	225	7	,	,	PUNCT
ejpam-5678	225	8	36(2):13–16	36(2):13–16	NUM
ejpam-5678	225	9	,	,	PUNCT
ejpam-5678	225	10	1991	1991	NUM
ejpam-5678	225	11	.	.	PUNCT
ejpam-5678	226	1	[	[	X
ejpam-5678	226	2	11	11	NUM
ejpam-5678	226	3	]	]	PUNCT
ejpam-5678	226	4	b.	b.	PROPN
ejpam-5678	226	5	doman	doman	PROPN
ejpam-5678	226	6	.	.	PUNCT
ejpam-5678	227	1	the	the	DET
ejpam-5678	227	2	classical	classical	ADJ
ejpam-5678	227	3	orthogonal	orthogonal	ADJ
ejpam-5678	227	4	polynomials	polynomial	NOUN
ejpam-5678	227	5	.	.	PUNCT
ejpam-5678	228	1	world	world	NOUN
ejpam-5678	228	2	scientific	scientific	ADJ
ejpam-5678	228	3	,	,	PUNCT
ejpam-5678	228	4	2015	2015	NUM
ejpam-5678	228	5	.	.	PUNCT
ejpam-5678	229	1	[	[	X
ejpam-5678	229	2	12	12	NUM
ejpam-5678	229	3	]	]	X
ejpam-5678	229	4	p.	p.	NOUN
ejpam-5678	229	5	l.	l.	PROPN
ejpam-5678	229	6	duren	duren	PROPN
ejpam-5678	229	7	.	.	PUNCT
ejpam-5678	229	8	univalent	univalent	ADJ
ejpam-5678	229	9	functions	function	NOUN
ejpam-5678	229	10	,	,	PUNCT
ejpam-5678	229	11	grundlehren	grundlehren	PROPN
ejpam-5678	229	12	der	der	PROPN
ejpam-5678	229	13	mathematischen	mathematischen	PROPN
ejpam-5678	229	14	wissenschaften	wissenschaften	VERB
ejpam-5678	229	15	,	,	PUNCT
ejpam-5678	229	16	volume	volume	NOUN
ejpam-5678	229	17	259	259	NUM
ejpam-5678	229	18	.	.	PUNCT
ejpam-5678	229	19	springer	springer	NOUN
ejpam-5678	229	20	,	,	PUNCT
ejpam-5678	229	21	new	new	PROPN
ejpam-5678	229	22	york	york	PROPN
ejpam-5678	229	23	,	,	PUNCT
ejpam-5678	229	24	ny	ny	PROPN
ejpam-5678	229	25	,	,	PUNCT
ejpam-5678	229	26	usa	usa	PROPN
ejpam-5678	229	27	;	;	PUNCT
ejpam-5678	229	28	berlin	berlin	PROPN
ejpam-5678	229	29	/	/	SYM
ejpam-5678	229	30	heidelberg	heidelberg	PROPN
ejpam-5678	229	31	,	,	PUNCT
ejpam-5678	229	32	germany	germany	PROPN
ejpam-5678	229	33	;	;	PUNCT
ejpam-5678	229	34	tokyo	tokyo	PROPN
ejpam-5678	229	35	,	,	PUNCT
ejpam-5678	229	36	japan	japan	PROPN
ejpam-5678	229	37	,	,	PUNCT
ejpam-5678	229	38	1983	1983	NUM
ejpam-5678	229	39	.	.	PUNCT
ejpam-5678	230	1	[	[	X
ejpam-5678	230	2	13	13	NUM
ejpam-5678	230	3	]	]	PUNCT
ejpam-5678	230	4	a.	a.	NOUN
ejpam-5678	230	5	elbert	elbert	NOUN
ejpam-5678	230	6	and	and	CCONJ
ejpam-5678	230	7	a.	a.	NOUN
ejpam-5678	230	8	laforgia	laforgia	NOUN
ejpam-5678	230	9	.	.	PUNCT
ejpam-5678	231	1	the	the	DET
ejpam-5678	231	2	zeros	zero	NOUN
ejpam-5678	231	3	of	of	ADP
ejpam-5678	231	4	the	the	DET
ejpam-5678	231	5	complementary	complementary	ADJ
ejpam-5678	231	6	error	error	NOUN
ejpam-5678	231	7	function	function	NOUN
ejpam-5678	231	8	.	.	PUNCT
ejpam-5678	232	1	numer	numer	PROPN
ejpam-5678	232	2	.	.	PUNCT
ejpam-5678	232	3	algorithms	algorithms	PROPN
ejpam-5678	232	4	,	,	PUNCT
ejpam-5678	232	5	49:153–157	49:153–157	NUM
ejpam-5678	232	6	,	,	PUNCT
ejpam-5678	232	7	2008	2008	NUM
ejpam-5678	232	8	.	.	PUNCT
ejpam-5678	233	1	[	[	X
ejpam-5678	233	2	14	14	NUM
ejpam-5678	233	3	]	]	PUNCT
ejpam-5678	233	4	m.	m.	NOUN
ejpam-5678	233	5	fekete	fekete	PROPN
ejpam-5678	233	6	and	and	CCONJ
ejpam-5678	233	7	g.	g.	PROPN
ejpam-5678	233	8	szegö.	szegö.	PROPN
ejpam-5678	233	9	eine	eine	PROPN
ejpam-5678	233	10	bemerkung	bemerkung	PROPN
ejpam-5678	233	11	ãber	ãber	PROPN
ejpam-5678	233	12	ungerade	ungerade	PROPN
ejpam-5678	233	13	schlichte	schlichte	PROPN
ejpam-5678	233	14	funktionen	funktionen	PROPN
ejpam-5678	233	15	.	.	PUNCT
ejpam-5678	234	1	j.	j.	PROPN
ejpam-5678	234	2	lond	lond	PROPN
ejpam-5678	234	3	.	.	PUNCT
ejpam-5678	235	1	math	math	PROPN
ejpam-5678	235	2	.	.	PUNCT
ejpam-5678	236	1	soc	soc	PROPN
ejpam-5678	236	2	.	.	PUNCT
ejpam-5678	236	3	,	,	PUNCT
ejpam-5678	236	4	1:85–89	1:85–89	NUM
ejpam-5678	236	5	,	,	PUNCT
ejpam-5678	236	6	1933	1933	NUM
ejpam-5678	236	7	.	.	PUNCT
ejpam-5678	237	1	[	[	X
ejpam-5678	237	2	15	15	NUM
ejpam-5678	237	3	]	]	X
ejpam-5678	237	4	b.	b.	PROPN
ejpam-5678	237	5	a.	a.	PROPN
ejpam-5678	237	6	frasin	frasin	PROPN
ejpam-5678	237	7	and	and	CCONJ
ejpam-5678	237	8	m.	m.	PROPN
ejpam-5678	237	9	k.	k.	PROPN
ejpam-5678	237	10	aouf	aouf	PROPN
ejpam-5678	237	11	.	.	PUNCT
ejpam-5678	238	1	new	new	ADJ
ejpam-5678	238	2	subclasses	subclass	NOUN
ejpam-5678	238	3	of	of	ADP
ejpam-5678	238	4	bi	bi	ADJ
ejpam-5678	238	5	-	-	ADJ
ejpam-5678	238	6	univalent	univalent	ADJ
ejpam-5678	238	7	functions	function	NOUN
ejpam-5678	238	8	.	.	PUNCT
ejpam-5678	239	1	appl	appl	PROPN
ejpam-5678	239	2	.	.	PROPN
ejpam-5678	239	3	math	math	PROPN
ejpam-5678	239	4	.	.	PUNCT
ejpam-5678	240	1	lett	lett	PROPN
ejpam-5678	240	2	,	,	PUNCT
ejpam-5678	240	3	24:1569–1573	24:1569–1573	NUM
ejpam-5678	240	4	,	,	PUNCT
ejpam-5678	240	5	2011	2011	NUM
ejpam-5678	240	6	.	.	PUNCT
ejpam-5678	241	1	[	[	X
ejpam-5678	241	2	16	16	NUM
ejpam-5678	241	3	]	]	X
ejpam-5678	241	4	j.	j.	PROPN
ejpam-5678	241	5	c.	c.	PROPN
ejpam-5678	241	6	caslin	caslin	PROPN
ejpam-5678	241	7	h.	h.	PROPN
ejpam-5678	241	8	e.	e.	PROPN
ejpam-5678	241	9	fettis	fettis	PROPN
ejpam-5678	241	10	and	and	CCONJ
ejpam-5678	241	11	k.	k.	PROPN
ejpam-5678	241	12	r.	r.	PROPN
ejpam-5678	241	13	cramer	cramer	PROPN
ejpam-5678	241	14	.	.	PUNCT
ejpam-5678	242	1	complex	complex	ADJ
ejpam-5678	242	2	zeros	zero	NOUN
ejpam-5678	242	3	of	of	ADP
ejpam-5678	242	4	the	the	DET
ejpam-5678	242	5	error	error	NOUN
ejpam-5678	242	6	function	function	NOUN
ejpam-5678	242	7	and	and	CCONJ
ejpam-5678	242	8	of	of	ADP
ejpam-5678	242	9	the	the	DET
ejpam-5678	242	10	complementary	complementary	ADJ
ejpam-5678	242	11	error	error	NOUN
ejpam-5678	242	12	function	function	NOUN
ejpam-5678	242	13	.	.	PUNCT
ejpam-5678	243	1	math	math	NOUN
ejpam-5678	243	2	.	.	PUNCT
ejpam-5678	244	1	comp	comp	PROPN
ejpam-5678	244	2	.	.	PUNCT
ejpam-5678	244	3	,	,	PUNCT
ejpam-5678	244	4	27:401–407	27:401–407	PROPN
ejpam-5678	244	5	,	,	PUNCT
ejpam-5678	244	6	1973	1973	NUM
ejpam-5678	244	7	.	.	PUNCT
ejpam-5678	245	1	[	[	X
ejpam-5678	245	2	17	17	NUM
ejpam-5678	245	3	]	]	X
ejpam-5678	245	4	h.	h.	PROPN
ejpam-5678	245	5	m.	m.	PROPN
ejpam-5678	245	6	srivastava	srivastava	PROPN
ejpam-5678	245	7	,	,	PUNCT
ejpam-5678	245	8	ş.	ş.	PROPN
ejpam-5678	245	9	altınkaya	altınkaya	PROPN
ejpam-5678	245	10	and	and	CCONJ
ejpam-5678	245	11	s.	s.	PROPN
ejpam-5678	245	12	yalçın	yalçın	PROPN
ejpam-5678	245	13	.	.	PUNCT
ejpam-5678	246	1	certain	certain	ADJ
ejpam-5678	246	2	subclasses	subclass	NOUN
ejpam-5678	246	3	of	of	ADP
ejpam-5678	246	4	bi	bi	ADJ
ejpam-5678	246	5	-	-	ADJ
ejpam-5678	246	6	univalent	univalent	ADJ
ejpam-5678	246	7	functions	function	NOUN
ejpam-5678	246	8	associated	associate	VERB
ejpam-5678	246	9	with	with	ADP
ejpam-5678	246	10	the	the	DET
ejpam-5678	246	11	horadam	horadam	PROPN
ejpam-5678	246	12	polynomials	polynomial	NOUN
ejpam-5678	246	13	.	.	PUNCT
ejpam-5678	247	1	iran	iran	PROPN
ejpam-5678	247	2	.	.	PUNCT
ejpam-5678	248	1	j.	j.	PROPN
ejpam-5678	248	2	sci	sci	PROPN
ejpam-5678	248	3	.	.	PROPN
ejpam-5678	249	1	technol	technol	PROPN
ejpam-5678	249	2	.	.	PUNCT
ejpam-5678	250	1	trans	trans	PROPN
ejpam-5678	250	2	.	.	PUNCT
ejpam-5678	251	1	sci	sci	PROPN
ejpam-5678	251	2	.	.	PROPN
ejpam-5678	251	3	,	,	PUNCT
ejpam-5678	251	4	43:1873–1879	43:1873–1879	NUM
ejpam-5678	251	5	,	,	PUNCT
ejpam-5678	251	6	2019	2019	NUM
ejpam-5678	251	7	.	.	PUNCT
ejpam-5678	252	1	[	[	X
ejpam-5678	252	2	18	18	NUM
ejpam-5678	252	3	]	]	PUNCT
ejpam-5678	252	4	a.	a.	PROPN
ejpam-5678	252	5	f.	f.	PROPN
ejpam-5678	252	6	horadam	horadam	PROPN
ejpam-5678	252	7	and	and	CCONJ
ejpam-5678	252	8	j.	j.	PROPN
ejpam-5678	252	9	m.	m.	PROPN
ejpam-5678	252	10	mahon	mahon	PROPN
ejpam-5678	252	11	.	.	PUNCT
ejpam-5678	253	1	pell	pell	VERB
ejpam-5678	253	2	and	and	CCONJ
ejpam-5678	253	3	pell	pell	NOUN
ejpam-5678	253	4	-	-	PUNCT
ejpam-5678	253	5	lucas	lucas	NOUN
ejpam-5678	253	6	polynomials	polynomial	NOUN
ejpam-5678	253	7	.	.	PUNCT
ejpam-5678	254	1	fibonacci	fibonacci	PROPN
ejpam-5678	254	2	q	q	PROPN
ejpam-5678	254	3	,	,	PUNCT
ejpam-5678	254	4	23:7–20	23:7–20	NUM
ejpam-5678	254	5	,	,	PUNCT
ejpam-5678	254	6	1985	1985	NUM
ejpam-5678	254	7	.	.	PUNCT
ejpam-5678	255	1	[	[	X
ejpam-5678	255	2	19	19	NUM
ejpam-5678	255	3	]	]	PUNCT
ejpam-5678	255	4	a.	a.	PROPN
ejpam-5678	255	5	legendre	legendre	PROPN
ejpam-5678	255	6	.	.	PUNCT
ejpam-5678	256	1	recherches	recherche	NOUN
ejpam-5678	256	2	sur	sur	PROPN
ejpam-5678	256	3	laattraction	laattraction	PROPN
ejpam-5678	256	4	des	des	PROPN
ejpam-5678	256	5	sphéroides	sphéroides	PROPN
ejpam-5678	256	6	homogénes	homogéne	NOUN
ejpam-5678	256	7	,	,	PUNCT
ejpam-5678	256	8	volume	volume	NOUN
ejpam-5678	256	9	10	10	NUM
ejpam-5678	256	10	.	.	PUNCT
ejpam-5678	256	11	1785	1785	NUM
ejpam-5678	256	12	.	.	PUNCT
ejpam-5678	257	1	[	[	X
ejpam-5678	257	2	20	20	NUM
ejpam-5678	257	3	]	]	PUNCT
ejpam-5678	257	4	j.	j.	PROPN
ejpam-5678	257	5	m.	m.	PROPN
ejpam-5678	257	6	miller	miller	PROPN
ejpam-5678	257	7	and	and	CCONJ
ejpam-5678	257	8	p.	p.	PROPN
ejpam-5678	257	9	mocanu	mocanu	PROPN
ejpam-5678	257	10	.	.	PUNCT
ejpam-5678	258	1	differential	differential	ADJ
ejpam-5678	258	2	subordination	subordination	NOUN
ejpam-5678	258	3	:	:	PUNCT
ejpam-5678	258	4	theory	theory	NOUN
ejpam-5678	258	5	and	and	CCONJ
ejpam-5678	258	6	applications	application	NOUN
ejpam-5678	258	7	.	.	PUNCT
ejpam-5678	259	1	crc	crc	PROPN
ejpam-5678	259	2	press	press	PROPN
ejpam-5678	259	3	,	,	PUNCT
ejpam-5678	259	4	new	new	PROPN
ejpam-5678	259	5	york	york	PROPN
ejpam-5678	259	6	,	,	PUNCT
ejpam-5678	259	7	ny	ny	PROPN
ejpam-5678	259	8	,	,	PUNCT
ejpam-5678	259	9	usa	usa	PROPN
ejpam-5678	259	10	,	,	PUNCT
ejpam-5678	259	11	2000	2000	NUM
ejpam-5678	259	12	.	.	PUNCT
ejpam-5678	260	1	[	[	X
ejpam-5678	260	2	21	21	NUM
ejpam-5678	260	3	]	]	X
ejpam-5678	260	4	g.	g.	PROPN
ejpam-5678	260	5	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-5678	260	6	.	.	PUNCT
ejpam-5678	261	1	subclasses	subclass	NOUN
ejpam-5678	261	2	of	of	ADP
ejpam-5678	261	3	starlike	starlike	NOUN
ejpam-5678	261	4	and	and	CCONJ
ejpam-5678	261	5	convex	convex	NOUN
ejpam-5678	261	6	functions	function	NOUN
ejpam-5678	261	7	involving	involve	VERB
ejpam-5678	261	8	poisson	poisson	NOUN
ejpam-5678	261	9	distribution	distribution	NOUN
ejpam-5678	261	10	series	series	NOUN
ejpam-5678	261	11	.	.	PUNCT
ejpam-5678	262	1	afr	afr	PROPN
ejpam-5678	262	2	.	.	PUNCT
ejpam-5678	263	1	mat	mat	PROPN
ejpam-5678	263	2	.	.	PROPN
ejpam-5678	263	3	,	,	PUNCT
ejpam-5678	263	4	28:1357–1366	28:1357–1366	PROPN
ejpam-5678	263	5	,	,	PUNCT
ejpam-5678	263	6	2017	2017	NUM
ejpam-5678	263	7	.	.	PUNCT
ejpam-5678	264	1	[	[	X
ejpam-5678	264	2	22	22	NUM
ejpam-5678	264	3	]	]	PUNCT
ejpam-5678	264	4	z.	z.	PROPN
ejpam-5678	264	5	peng	peng	PROPN
ejpam-5678	264	6	,	,	PUNCT
ejpam-5678	264	7	g.	g.	PROPN
ejpam-5678	264	8	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-5678	264	9	,	,	PUNCT
ejpam-5678	264	10	and	and	CCONJ
ejpam-5678	264	11	t.	t.	PROPN
ejpam-5678	264	12	janani	janani	PROPN
ejpam-5678	264	13	.	.	PUNCT
ejpam-5678	265	1	coefficient	coefficient	NOUN
ejpam-5678	265	2	estimate	estimate	NOUN
ejpam-5678	265	3	of	of	ADP
ejpam-5678	265	4	biunivalent	biunivalent	NOUN
ejpam-5678	265	5	functions	function	NOUN
ejpam-5678	265	6	of	of	ADP
ejpam-5678	265	7	complex	complex	ADJ
ejpam-5678	265	8	order	order	NOUN
ejpam-5678	265	9	associated	associate	VERB
ejpam-5678	265	10	with	with	ADP
ejpam-5678	265	11	the	the	DET
ejpam-5678	265	12	hohlov	hohlov	NOUN
ejpam-5678	265	13	operator	operator	NOUN
ejpam-5678	265	14	.	.	PUNCT
ejpam-5678	266	1	j.	j.	PROPN
ejpam-5678	266	2	complex	complex	PROPN
ejpam-5678	266	3	anal	anal	PROPN
ejpam-5678	266	4	.	.	PUNCT
ejpam-5678	266	5	,	,	PUNCT
ejpam-5678	266	6	page	page	NOUN
ejpam-5678	266	7	693908	693908	NUM
ejpam-5678	266	8	,	,	PUNCT
ejpam-5678	266	9	2014	2014	NUM
ejpam-5678	266	10	.	.	PUNCT
ejpam-5678	267	1	[	[	X
ejpam-5678	267	2	23	23	NUM
ejpam-5678	267	3	]	]	X
ejpam-5678	267	4	b.	b.	PROPN
ejpam-5678	267	5	a.	a.	PROPN
ejpam-5678	267	6	frasin	frasin	PROPN
ejpam-5678	267	7	t.	t.	PROPN
ejpam-5678	267	8	al	al	PROPN
ejpam-5678	267	9	-	-	PUNCT
ejpam-5678	267	10	hawary	hawary	PROPN
ejpam-5678	267	11	and	and	CCONJ
ejpam-5678	267	12	m.	m.	NOUN
ejpam-5678	267	13	darus	darus	NOUN
ejpam-5678	267	14	.	.	PUNCT
ejpam-5678	268	1	fekete	fekete	PROPN
ejpam-5678	268	2	–	–	PUNCT
ejpam-5678	268	3	szegö	szegö	VERB
ejpam-5678	268	4	problem	problem	NOUN
ejpam-5678	268	5	for	for	ADP
ejpam-5678	268	6	certain	certain	ADJ
ejpam-5678	268	7	classes	class	NOUN
ejpam-5678	268	8	of	of	ADP
ejpam-5678	268	9	analytic	analytic	ADJ
ejpam-5678	268	10	functions	function	NOUN
ejpam-5678	268	11	defined	define	VERB
ejpam-5678	268	12	by	by	ADP
ejpam-5678	268	13	dziok	dziok	NOUN
ejpam-5678	268	14	-	-	PUNCT
ejpam-5678	268	15	srivastava	srivastava	PROPN
ejpam-5678	268	16	operator	operator	NOUN
ejpam-5678	268	17	.	.	PUNCT
ejpam-5678	269	1	acta	acta	PROPN
ejpam-5678	269	2	math	math	PROPN
ejpam-5678	269	3	.	.	PUNCT
ejpam-5678	270	1	vietnam	vietnam	PROPN
ejpam-5678	270	2	.	.	PUNCT
ejpam-5678	270	3	,	,	PUNCT
ejpam-5678	271	1	39:185–192	39:185–192	NUM
ejpam-5678	271	2	,	,	PUNCT
ejpam-5678	271	3	2014	2014	NUM
ejpam-5678	271	4	.	.	PUNCT
ejpam-5678	272	1	[	[	X
ejpam-5678	272	2	24	24	NUM
ejpam-5678	272	3	]	]	PUNCT
ejpam-5678	272	4	a.	a.	NOUN
ejpam-5678	272	5	k.	k.	PROPN
ejpam-5678	272	6	wanas	wanas	PROPN
ejpam-5678	272	7	and	and	CCONJ
ejpam-5678	272	8	j.	j.	PROPN
ejpam-5678	272	9	a.	a.	PROPN
ejpam-5678	272	10	khuttar	khuttar	PROPN
ejpam-5678	272	11	.	.	PUNCT
ejpam-5678	273	1	applications	application	NOUN
ejpam-5678	273	2	of	of	ADP
ejpam-5678	273	3	borel	borel	NOUN
ejpam-5678	273	4	distribution	distribution	NOUN
ejpam-5678	273	5	series	series	NOUN
ejpam-5678	273	6	on	on	ADP
ejpam-5678	273	7	analytic	analytic	ADJ
ejpam-5678	273	8	t.	t.	PROPN
ejpam-5678	273	9	al	al	PROPN
ejpam-5678	273	10	-	-	PUNCT
ejpam-5678	273	11	hawary	hawary	PROPN
ejpam-5678	273	12	et	et	PROPN
ejpam-5678	273	13	al	al	PROPN
ejpam-5678	273	14	.	.	PUNCT
ejpam-5678	273	15	/	/	SYM
ejpam-5678	273	16	eur	eur	PROPN
ejpam-5678	273	17	.	.	PUNCT
ejpam-5678	274	1	j.	j.	PROPN
ejpam-5678	274	2	pure	pure	PROPN
ejpam-5678	274	3	appl	appl	PROPN
ejpam-5678	274	4	.	.	PROPN
ejpam-5678	274	5	math	math	PROPN
ejpam-5678	274	6	,	,	PUNCT
ejpam-5678	274	7	18	18	NUM
ejpam-5678	274	8	(	(	PUNCT
ejpam-5678	274	9	1	1	NUM
ejpam-5678	274	10	)	)	PUNCT
ejpam-5678	274	11	(	(	PUNCT
ejpam-5678	274	12	2025	2025	NUM
ejpam-5678	274	13	)	)	PUNCT
ejpam-5678	274	14	,	,	PUNCT
ejpam-5678	274	15	5678	5678	NUM
ejpam-5678	274	16	12	12	NUM
ejpam-5678	274	17	of	of	ADP
ejpam-5678	274	18	12	12	NUM
ejpam-5678	274	19	functions	function	NOUN
ejpam-5678	274	20	.	.	PUNCT
ejpam-5678	275	1	earthline	earthline	PROPN
ejpam-5678	275	2	j.	j.	PROPN
ejpam-5678	275	3	math	math	PROPN
ejpam-5678	275	4	.	.	PUNCT
ejpam-5678	276	1	sci	sci	PROPN
ejpam-5678	276	2	.	.	PROPN
ejpam-5678	276	3	,	,	PUNCT
ejpam-5678	276	4	4:71–82	4:71–82	NUM
ejpam-5678	276	5	,	,	PUNCT
ejpam-5678	276	6	2020	2020	NUM
ejpam-5678	276	7	.	.	PUNCT