id	sid	tid	token	lemma	pos
ejpam-7065	1	1	european	european	PROPN
ejpam-7065	1	2	journal	journal	PROPN
ejpam-7065	1	3	of	of	ADP
ejpam-7065	1	4	pure	pure	ADJ
ejpam-7065	1	5	and	and	CCONJ
ejpam-7065	1	6	applied	applied	ADJ
ejpam-7065	1	7	mathematics	mathematic	NOUN
ejpam-7065	1	8	2025	2025	NUM
ejpam-7065	1	9	,	,	PUNCT
ejpam-7065	1	10	vol	vol	NOUN
ejpam-7065	1	11	.	.	PROPN
ejpam-7065	1	12	18	18	NUM
ejpam-7065	1	13	,	,	PUNCT
ejpam-7065	1	14	issue	issue	NOUN
ejpam-7065	1	15	4	4	NUM
ejpam-7065	1	16	,	,	PUNCT
ejpam-7065	1	17	article	article	NOUN
ejpam-7065	1	18	number	number	NOUN
ejpam-7065	1	19	7065	7065	NUM
ejpam-7065	1	20	issn	issn	VERB
ejpam-7065	1	21	1307	1307	NUM
ejpam-7065	1	22	-	-	SYM
ejpam-7065	1	23	5543	5543	NUM
ejpam-7065	1	24	–	–	PUNCT
ejpam-7065	1	25	ejpam.com	ejpam.com	X
ejpam-7065	1	26	published	publish	VERB
ejpam-7065	1	27	by	by	ADP
ejpam-7065	1	28	new	new	PROPN
ejpam-7065	1	29	york	york	PROPN
ejpam-7065	1	30	business	business	PROPN
ejpam-7065	1	31	global	global	PROPN
ejpam-7065	1	32	a	a	DET
ejpam-7065	1	33	study	study	NOUN
ejpam-7065	1	34	on	on	ADP
ejpam-7065	1	35	bi	bi	ADJ
ejpam-7065	1	36	-	-	ADJ
ejpam-7065	1	37	univalent	univalent	ADJ
ejpam-7065	1	38	functions	function	NOUN
ejpam-7065	1	39	of	of	ADP
ejpam-7065	1	40	complex	complex	ADJ
ejpam-7065	1	41	order	order	NOUN
ejpam-7065	1	42	arising	arise	VERB
ejpam-7065	1	43	from	from	ADP
ejpam-7065	1	44	the	the	DET
ejpam-7065	1	45	q	q	ADJ
ejpam-7065	1	46	-	-	PUNCT
ejpam-7065	1	47	fibonacci	fibonacci	NOUN
ejpam-7065	1	48	analogue	analogue	PROPN
ejpam-7065	1	49	abdullah	abdullah	PROPN
ejpam-7065	1	50	alsoboh1,∗	alsoboh1,∗	PROPN
ejpam-7065	1	51	,	,	PUNCT
ejpam-7065	1	52	ala	ala	PROPN
ejpam-7065	1	53	amourah2,3	amourah2,3	PROPN
ejpam-7065	1	54	,	,	PUNCT
ejpam-7065	1	55	khaled	khale	VERB
ejpam-7065	1	56	almashrafi1,∗	almashrafi1,∗	PROPN
ejpam-7065	1	57	,	,	PUNCT
ejpam-7065	1	58	tala	tala	PROPN
ejpam-7065	1	59	sasa4	sasa4	NOUN
ejpam-7065	1	60	1	1	NUM
ejpam-7065	1	61	department	department	NOUN
ejpam-7065	1	62	of	of	ADP
ejpam-7065	1	63	basic	basic	ADJ
ejpam-7065	1	64	and	and	CCONJ
ejpam-7065	1	65	applied	applied	ADJ
ejpam-7065	1	66	sciences	science	NOUN
ejpam-7065	1	67	,	,	PUNCT
ejpam-7065	1	68	college	college	NOUN
ejpam-7065	1	69	of	of	ADP
ejpam-7065	1	70	applied	apply	VERB
ejpam-7065	1	71	and	and	CCONJ
ejpam-7065	1	72	health	health	NOUN
ejpam-7065	1	73	sciences	science	NOUN
ejpam-7065	1	74	,	,	PUNCT
ejpam-7065	1	75	a’sharqiyah	a’sharqiyah	PROPN
ejpam-7065	1	76	,	,	PUNCT
ejpam-7065	1	77	post	post	PROPN
ejpam-7065	1	78	box	box	PROPN
ejpam-7065	1	79	no	no	INTJ
ejpam-7065	1	80	.	.	PROPN
ejpam-7065	1	81	42	42	NUM
ejpam-7065	1	82	,	,	PUNCT
ejpam-7065	1	83	post	post	VERB
ejpam-7065	1	84	code	code	NOUN
ejpam-7065	1	85	no	no	INTJ
ejpam-7065	1	86	.	.	PROPN
ejpam-7065	1	87	400	400	NUM
ejpam-7065	1	88	,	,	PUNCT
ejpam-7065	1	89	ibra	ibra	NOUN
ejpam-7065	1	90	,	,	PUNCT
ejpam-7065	1	91	sultanate	sultanate	NOUN
ejpam-7065	1	92	of	of	ADP
ejpam-7065	1	93	oman	oman	NOUN
ejpam-7065	1	94	2	2	NUM
ejpam-7065	1	95	mathematics	mathematics	PROPN
ejpam-7065	1	96	education	education	NOUN
ejpam-7065	1	97	program	program	NOUN
ejpam-7065	1	98	,	,	PUNCT
ejpam-7065	1	99	faculty	faculty	NOUN
ejpam-7065	1	100	of	of	ADP
ejpam-7065	1	101	education	education	NOUN
ejpam-7065	1	102	and	and	CCONJ
ejpam-7065	1	103	arts	art	NOUN
ejpam-7065	1	104	,	,	PUNCT
ejpam-7065	1	105	sohar	sohar	PROPN
ejpam-7065	1	106	university	university	PROPN
ejpam-7065	1	107	,	,	PUNCT
ejpam-7065	1	108	sohar	sohar	PROPN
ejpam-7065	1	109	311	311	NUM
ejpam-7065	1	110	,	,	PUNCT
ejpam-7065	1	111	oman	oman	NOUN
ejpam-7065	1	112	3	3	NUM
ejpam-7065	1	113	jadara	jadara	PROPN
ejpam-7065	1	114	university	university	PROPN
ejpam-7065	1	115	research	research	NOUN
ejpam-7065	1	116	center	center	NOUN
ejpam-7065	1	117	,	,	PUNCT
ejpam-7065	1	118	jadara	jadara	PROPN
ejpam-7065	1	119	university	university	PROPN
ejpam-7065	1	120	,	,	PUNCT
ejpam-7065	1	121	jordan	jordan	PROPN
ejpam-7065	1	122	4	4	NUM
ejpam-7065	1	123	department	department	NOUN
ejpam-7065	1	124	of	of	ADP
ejpam-7065	1	125	mathematics	mathematic	NOUN
ejpam-7065	1	126	,	,	PUNCT
ejpam-7065	1	127	faculty	faculty	NOUN
ejpam-7065	1	128	of	of	ADP
ejpam-7065	1	129	science	science	NOUN
ejpam-7065	1	130	,	,	PUNCT
ejpam-7065	1	131	applied	apply	VERB
ejpam-7065	1	132	science	science	NOUN
ejpam-7065	1	133	private	private	ADJ
ejpam-7065	1	134	university	university	NOUN
ejpam-7065	1	135	,	,	PUNCT
ejpam-7065	1	136	amman	amman	PROPN
ejpam-7065	1	137	,	,	PUNCT
ejpam-7065	1	138	jordan	jordan	PROPN
ejpam-7065	1	139	abstract	abstract	PROPN
ejpam-7065	1	140	.	.	PUNCT
ejpam-7065	2	1	this	this	DET
ejpam-7065	2	2	paper	paper	NOUN
ejpam-7065	2	3	introduces	introduce	VERB
ejpam-7065	2	4	new	new	ADJ
ejpam-7065	2	5	subclasses	subclass	NOUN
ejpam-7065	2	6	of	of	ADP
ejpam-7065	2	7	bi	bi	ADJ
ejpam-7065	2	8	-	-	ADJ
ejpam-7065	2	9	univalent	univalent	ADJ
ejpam-7065	2	10	functions	function	NOUN
ejpam-7065	2	11	of	of	ADP
ejpam-7065	2	12	complex	complex	ADJ
ejpam-7065	2	13	order	order	NOUN
ejpam-7065	2	14	linked	link	VERB
ejpam-7065	2	15	with	with	ADP
ejpam-7065	2	16	shell	shell	NOUN
ejpam-7065	2	17	-	-	PUNCT
ejpam-7065	2	18	like	like	ADJ
ejpam-7065	2	19	domains	domain	NOUN
ejpam-7065	2	20	,	,	PUNCT
ejpam-7065	2	21	formulated	formulate	VERB
ejpam-7065	2	22	via	via	ADP
ejpam-7065	2	23	the	the	DET
ejpam-7065	2	24	subordination	subordination	NOUN
ejpam-7065	2	25	principle	principle	NOUN
ejpam-7065	2	26	and	and	CCONJ
ejpam-7065	2	27	the	the	DET
ejpam-7065	2	28	q	q	ADJ
ejpam-7065	2	29	analog	analog	NOUN
ejpam-7065	2	30	of	of	ADP
ejpam-7065	2	31	fibonacci	fibonacci	NOUN
ejpam-7065	2	32	numbers	number	NOUN
ejpam-7065	2	33	.	.	PUNCT
ejpam-7065	3	1	motivated	motivate	VERB
ejpam-7065	3	2	by	by	ADP
ejpam-7065	3	3	recent	recent	ADJ
ejpam-7065	3	4	advances	advance	NOUN
ejpam-7065	3	5	in	in	ADP
ejpam-7065	3	6	q	q	NOUN
ejpam-7065	3	7	-	-	NOUN
ejpam-7065	3	8	calculus	calculus	NOUN
ejpam-7065	3	9	and	and	CCONJ
ejpam-7065	3	10	its	its	PRON
ejpam-7065	3	11	applications	application	NOUN
ejpam-7065	3	12	in	in	ADP
ejpam-7065	3	13	geometric	geometric	ADJ
ejpam-7065	3	14	function	function	NOUN
ejpam-7065	3	15	theory	theory	NOUN
ejpam-7065	3	16	,	,	PUNCT
ejpam-7065	3	17	we	we	PRON
ejpam-7065	3	18	construct	construct	VERB
ejpam-7065	3	19	and	and	CCONJ
ejpam-7065	3	20	examine	examine	VERB
ejpam-7065	3	21	two	two	NUM
ejpam-7065	3	22	distinct	distinct	ADJ
ejpam-7065	3	23	families	family	NOUN
ejpam-7065	3	24	of	of	ADP
ejpam-7065	3	25	analytic	analytic	ADJ
ejpam-7065	3	26	bi	bi	ADJ
ejpam-7065	3	27	-	-	ADJ
ejpam-7065	3	28	univalent	univalent	ADJ
ejpam-7065	3	29	functions	function	NOUN
ejpam-7065	3	30	.	.	PUNCT
ejpam-7065	4	1	for	for	ADP
ejpam-7065	4	2	these	these	DET
ejpam-7065	4	3	subclasses	subclass	NOUN
ejpam-7065	4	4	,	,	PUNCT
ejpam-7065	4	5	coefficient	coefficient	NOUN
ejpam-7065	4	6	estimates	estimate	NOUN
ejpam-7065	4	7	are	be	AUX
ejpam-7065	4	8	derived	derive	VERB
ejpam-7065	4	9	for	for	ADP
ejpam-7065	4	10	the	the	DET
ejpam-7065	4	11	initial	initial	ADJ
ejpam-7065	4	12	taylor	taylor	PROPN
ejpam-7065	4	13	–	–	PUNCT
ejpam-7065	4	14	maclaurin	maclaurin	NOUN
ejpam-7065	4	15	coefficients	coefficient	NOUN
ejpam-7065	4	16	,	,	PUNCT
ejpam-7065	4	17	together	together	ADV
ejpam-7065	4	18	with	with	ADP
ejpam-7065	4	19	sharp	sharp	ADJ
ejpam-7065	4	20	bounds	bound	NOUN
ejpam-7065	4	21	for	for	ADP
ejpam-7065	4	22	the	the	DET
ejpam-7065	4	23	fekete	fekete	PROPN
ejpam-7065	4	24	–	–	PUNCT
ejpam-7065	4	25	szegö	szegö	ADJ
ejpam-7065	4	26	functional	functional	NOUN
ejpam-7065	4	27	expressed	express	VERB
ejpam-7065	4	28	in	in	ADP
ejpam-7065	4	29	terms	term	NOUN
ejpam-7065	4	30	of	of	ADP
ejpam-7065	4	31	the	the	DET
ejpam-7065	4	32	parameters	parameter	NOUN
ejpam-7065	4	33	involved	involve	VERB
ejpam-7065	4	34	.	.	PUNCT
ejpam-7065	5	1	the	the	DET
ejpam-7065	5	2	results	result	NOUN
ejpam-7065	5	3	of	of	ADP
ejpam-7065	5	4	this	this	DET
ejpam-7065	5	5	study	study	NOUN
ejpam-7065	5	6	extend	extend	VERB
ejpam-7065	5	7	and	and	CCONJ
ejpam-7065	5	8	unify	unify	VERB
ejpam-7065	5	9	earlier	early	ADJ
ejpam-7065	5	10	results	result	NOUN
ejpam-7065	5	11	in	in	ADP
ejpam-7065	5	12	the	the	DET
ejpam-7065	5	13	theory	theory	NOUN
ejpam-7065	5	14	of	of	ADP
ejpam-7065	5	15	bi	bi	ADJ
ejpam-7065	5	16	-	-	ADJ
ejpam-7065	5	17	univalent	univalent	ADJ
ejpam-7065	5	18	functions	function	NOUN
ejpam-7065	5	19	,	,	PUNCT
ejpam-7065	5	20	while	while	SCONJ
ejpam-7065	5	21	providing	provide	VERB
ejpam-7065	5	22	new	new	ADJ
ejpam-7065	5	23	insights	insight	NOUN
ejpam-7065	5	24	into	into	ADP
ejpam-7065	5	25	the	the	DET
ejpam-7065	5	26	interaction	interaction	NOUN
ejpam-7065	5	27	between	between	ADP
ejpam-7065	5	28	the	the	DET
ejpam-7065	5	29	theory	theory	NOUN
ejpam-7065	5	30	of	of	ADP
ejpam-7065	5	31	bi	bi	ADJ
ejpam-7065	5	32	-	-	ADJ
ejpam-7065	5	33	univalent	univalent	ADJ
ejpam-7065	5	34	functions	function	NOUN
ejpam-7065	5	35	,	,	PUNCT
ejpam-7065	5	36	the	the	DET
ejpam-7065	5	37	q	q	ADJ
ejpam-7065	5	38	-	-	PUNCT
ejpam-7065	5	39	fibonacci	fibonacci	NOUN
ejpam-7065	5	40	framework	framework	NOUN
ejpam-7065	5	41	,	,	PUNCT
ejpam-7065	5	42	and	and	CCONJ
ejpam-7065	5	43	shell	shell	NOUN
ejpam-7065	5	44	-	-	PUNCT
ejpam-7065	5	45	like	like	ADJ
ejpam-7065	5	46	geometries	geometry	NOUN
ejpam-7065	5	47	.	.	PUNCT
ejpam-7065	6	1	furthermore	furthermore	ADV
ejpam-7065	6	2	,	,	PUNCT
ejpam-7065	6	3	the	the	DET
ejpam-7065	6	4	subclasses	subclass	NOUN
ejpam-7065	6	5	established	establish	VERB
ejpam-7065	6	6	here	here	ADV
ejpam-7065	6	7	may	may	AUX
ejpam-7065	6	8	serve	serve	VERB
ejpam-7065	6	9	as	as	ADP
ejpam-7065	6	10	a	a	DET
ejpam-7065	6	11	foundation	foundation	NOUN
ejpam-7065	6	12	for	for	ADP
ejpam-7065	6	13	future	future	ADJ
ejpam-7065	6	14	studies	study	NOUN
ejpam-7065	6	15	on	on	ADP
ejpam-7065	6	16	analytic	analytic	ADJ
ejpam-7065	6	17	function	function	NOUN
ejpam-7065	6	18	spaces	space	NOUN
ejpam-7065	6	19	,	,	PUNCT
ejpam-7065	6	20	special	special	ADJ
ejpam-7065	6	21	functions	function	NOUN
ejpam-7065	6	22	,	,	PUNCT
ejpam-7065	6	23	and	and	CCONJ
ejpam-7065	6	24	their	their	PRON
ejpam-7065	6	25	operator	operator	NOUN
ejpam-7065	6	26	-	-	PUNCT
ejpam-7065	6	27	theoretic	theoretic	NOUN
ejpam-7065	6	28	connections	connection	NOUN
ejpam-7065	6	29	.	.	PUNCT
ejpam-7065	7	1	2020	2020	NUM
ejpam-7065	7	2	mathematics	mathematic	NOUN
ejpam-7065	7	3	subject	subject	NOUN
ejpam-7065	7	4	classifications	classification	NOUN
ejpam-7065	7	5	:	:	PUNCT
ejpam-7065	7	6	30c45	30c45	NUM
ejpam-7065	7	7	,	,	PUNCT
ejpam-7065	7	8	11b37	11b37	NUM
ejpam-7065	7	9	,	,	PUNCT
ejpam-7065	7	10	81p68	81p68	NUM
ejpam-7065	7	11	key	key	ADJ
ejpam-7065	7	12	words	word	NOUN
ejpam-7065	7	13	and	and	CCONJ
ejpam-7065	7	14	phrases	phrase	NOUN
ejpam-7065	7	15	:	:	PUNCT
ejpam-7065	7	16	analytic	analytic	ADJ
ejpam-7065	7	17	mappings	mapping	NOUN
ejpam-7065	7	18	,	,	PUNCT
ejpam-7065	7	19	classes	class	NOUN
ejpam-7065	7	20	of	of	ADP
ejpam-7065	7	21	bi	bi	ADJ
ejpam-7065	7	22	-	-	ADJ
ejpam-7065	7	23	univalent	univalent	ADJ
ejpam-7065	7	24	functions	function	NOUN
ejpam-7065	7	25	,	,	PUNCT
ejpam-7065	7	26	fekete	fekete	PROPN
ejpam-7065	7	27	–	–	PUNCT
ejpam-7065	7	28	szegö	szegö	ADJ
ejpam-7065	7	29	operator	operator	NOUN
ejpam-7065	7	30	,	,	PUNCT
ejpam-7065	7	31	fibonacci	fibonacci	NOUN
ejpam-7065	7	32	numbers	number	NOUN
ejpam-7065	7	33	,	,	PUNCT
ejpam-7065	7	34	q	q	NOUN
ejpam-7065	7	35	-	-	PUNCT
ejpam-7065	7	36	analysis	analysis	NOUN
ejpam-7065	7	37	,	,	PUNCT
ejpam-7065	7	38	shell	shell	NOUN
ejpam-7065	7	39	-	-	PUNCT
ejpam-7065	7	40	shaped	shape	VERB
ejpam-7065	7	41	domains	domain	NOUN
ejpam-7065	7	42	1	1	NUM
ejpam-7065	7	43	.	.	PUNCT
ejpam-7065	8	1	introduction	introduction	NOUN
ejpam-7065	8	2	and	and	CCONJ
ejpam-7065	8	3	preliminaries	preliminary	NOUN
ejpam-7065	8	4	let	let	VERB
ejpam-7065	8	5	a	a	DET
ejpam-7065	8	6	denote	denote	NOUN
ejpam-7065	8	7	the	the	DET
ejpam-7065	8	8	class	class	NOUN
ejpam-7065	8	9	of	of	ADP
ejpam-7065	8	10	analytic	analytic	ADJ
ejpam-7065	8	11	functions	function	NOUN
ejpam-7065	8	12	in	in	ADP
ejpam-7065	8	13	the	the	DET
ejpam-7065	8	14	open	open	ADJ
ejpam-7065	8	15	unit	unit	NOUN
ejpam-7065	8	16	disk	disk	NOUN
ejpam-7065	8	17	o	o	NOUN
ejpam-7065	8	18	=	=	PUNCT
ejpam-7065	8	19	{	{	PUNCT
ejpam-7065	8	20	z	z	NOUN
ejpam-7065	8	21	=	=	SYM
ejpam-7065	8	22	a+	a+	PUNCT
ejpam-7065	9	1	ib	ib	PROPN
ejpam-7065	9	2	∈	∈	PROPN
ejpam-7065	9	3	c	c	NOUN
ejpam-7065	9	4	:	:	PUNCT
ejpam-7065	9	5	a	a	X
ejpam-7065	9	6	,	,	PUNCT
ejpam-7065	9	7	b	b	X
ejpam-7065	9	8	∈	∈	PROPN
ejpam-7065	9	9	r	r	NOUN
ejpam-7065	9	10	,	,	PUNCT
ejpam-7065	9	11	|z|	|z|	VERB
ejpam-7065	9	12	<	<	X
ejpam-7065	9	13	1	1	NUM
ejpam-7065	9	14	}	}	PUNCT
ejpam-7065	9	15	,	,	PUNCT
ejpam-7065	9	16	∗corresponding	∗corresponde	VERB
ejpam-7065	9	17	author	author	NOUN
ejpam-7065	9	18	.	.	PUNCT
ejpam-7065	10	1	∗corresponding	∗corresponde	VERB
ejpam-7065	10	2	author	author	NOUN
ejpam-7065	10	3	.	.	PUNCT
ejpam-7065	11	1	doi	doi	NOUN
ejpam-7065	11	2	:	:	PUNCT
ejpam-7065	11	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7065	https://doi.org/10.29020/nybg.ejpam.v18i4.7065	PROPN
ejpam-7065	11	4	email	email	NOUN
ejpam-7065	11	5	addresses	address	NOUN
ejpam-7065	11	6	:	:	PUNCT
ejpam-7065	11	7	abdullah.alsoboh@asu.edu.om	abdullah.alsoboh@asu.edu.om	NOUN
ejpam-7065	11	8	(	(	PUNCT
ejpam-7065	11	9	a.	a.	NOUN
ejpam-7065	11	10	alsoboh	alsoboh	PROPN
ejpam-7065	11	11	)	)	PUNCT
ejpam-7065	11	12	,	,	PUNCT
ejpam-7065	11	13	khaled.almashrafi@asu.edu.om	khaled.almashrafi@asu.edu.om	PROPN
ejpam-7065	11	14	(	(	PUNCT
ejpam-7065	11	15	k.	k.	PROPN
ejpam-7065	11	16	almashrafi	almashrafi	PROPN
ejpam-7065	11	17	)	)	PUNCT
ejpam-7065	11	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-7065	12	1	1	1	NUM
ejpam-7065	12	2	copyright	copyright	NOUN
ejpam-7065	12	3	:	:	PUNCT
ejpam-7065	12	4	©	©	PROPN
ejpam-7065	12	5	2025	2025	NUM
ejpam-7065	12	6	the	the	DET
ejpam-7065	12	7	author(s	author(s	NOUN
ejpam-7065	12	8	)	)	PUNCT
ejpam-7065	12	9	.	.	PUNCT
ejpam-7065	13	1	(	(	PUNCT
ejpam-7065	13	2	cc	cc	NOUN
ejpam-7065	13	3	by	by	ADP
ejpam-7065	13	4	-	-	PUNCT
ejpam-7065	13	5	nc	nc	PROPN
ejpam-7065	13	6	4.0	4.0	NUM
ejpam-7065	13	7	)	)	PUNCT
ejpam-7065	13	8	a.	a.	NOUN
ejpam-7065	13	9	alsoboh	alsoboh	NOUN
ejpam-7065	13	10	et	et	PROPN
ejpam-7065	13	11	al	al	PROPN
ejpam-7065	13	12	.	.	PUNCT
ejpam-7065	13	13	/	/	SYM
ejpam-7065	13	14	eur	eur	PROPN
ejpam-7065	13	15	.	.	PUNCT
ejpam-7065	14	1	j.	j.	PROPN
ejpam-7065	14	2	pure	pure	PROPN
ejpam-7065	14	3	appl	appl	PROPN
ejpam-7065	14	4	.	.	PROPN
ejpam-7065	14	5	math	math	PROPN
ejpam-7065	14	6	,	,	PUNCT
ejpam-7065	14	7	18	18	NUM
ejpam-7065	14	8	(	(	PUNCT
ejpam-7065	14	9	4	4	NUM
ejpam-7065	14	10	)	)	PUNCT
ejpam-7065	14	11	(	(	PUNCT
ejpam-7065	14	12	2025	2025	NUM
ejpam-7065	14	13	)	)	PUNCT
ejpam-7065	14	14	,	,	PUNCT
ejpam-7065	14	15	7065	7065	NUM
ejpam-7065	14	16	2	2	NUM
ejpam-7065	14	17	of	of	ADP
ejpam-7065	14	18	16	16	NUM
ejpam-7065	14	19	the	the	DET
ejpam-7065	14	20	interior	interior	NOUN
ejpam-7065	14	21	of	of	ADP
ejpam-7065	14	22	the	the	DET
ejpam-7065	14	23	unit	unit	NOUN
ejpam-7065	14	24	circle	circle	NOUN
ejpam-7065	14	25	centered	center	VERB
ejpam-7065	14	26	at	at	ADP
ejpam-7065	14	27	the	the	DET
ejpam-7065	14	28	origin	origin	NOUN
ejpam-7065	14	29	.	.	PUNCT
ejpam-7065	15	1	every	every	DET
ejpam-7065	15	2	member	member	NOUN
ejpam-7065	15	3	f	f	PROPN
ejpam-7065	15	4	∈	∈	PROPN
ejpam-7065	15	5	a	a	PRON
ejpam-7065	15	6	is	be	AUX
ejpam-7065	15	7	assumed	assume	VERB
ejpam-7065	15	8	to	to	PART
ejpam-7065	15	9	satisfy	satisfy	VERB
ejpam-7065	15	10	the	the	DET
ejpam-7065	15	11	standard	standard	ADJ
ejpam-7065	15	12	normalization	normalization	NOUN
ejpam-7065	15	13	f(0	f(0	NOUN
ejpam-7065	15	14	)	)	PUNCT
ejpam-7065	15	15	=	=	SYM
ejpam-7065	16	1	0	0	NUM
ejpam-7065	16	2	,	,	PUNCT
ejpam-7065	16	3	f	f	PROPN
ejpam-7065	16	4	′(0	′(0	PROPN
ejpam-7065	16	5	)	)	PUNCT
ejpam-7065	16	6	=	=	SYM
ejpam-7065	16	7	1	1	NUM
ejpam-7065	16	8	,	,	PUNCT
ejpam-7065	16	9	so	so	SCONJ
ejpam-7065	16	10	that	that	SCONJ
ejpam-7065	16	11	translation	translation	NOUN
ejpam-7065	16	12	and	and	CCONJ
ejpam-7065	16	13	dilation	dilation	NOUN
ejpam-7065	16	14	effects	effect	NOUN
ejpam-7065	16	15	at	at	ADP
ejpam-7065	16	16	the	the	DET
ejpam-7065	16	17	origin	origin	NOUN
ejpam-7065	16	18	are	be	AUX
ejpam-7065	16	19	eliminated	eliminate	VERB
ejpam-7065	16	20	.	.	PUNCT
ejpam-7065	17	1	each	each	DET
ejpam-7065	17	2	function	function	NOUN
ejpam-7065	17	3	in	in	ADP
ejpam-7065	17	4	a	a	PRON
ejpam-7065	17	5	can	can	AUX
ejpam-7065	17	6	be	be	AUX
ejpam-7065	17	7	represented	represent	VERB
ejpam-7065	17	8	by	by	ADP
ejpam-7065	17	9	a	a	DET
ejpam-7065	17	10	maclaurin	maclaurin	NOUN
ejpam-7065	17	11	series	series	NOUN
ejpam-7065	17	12	of	of	ADP
ejpam-7065	17	13	the	the	DET
ejpam-7065	17	14	form	form	NOUN
ejpam-7065	17	15	f(z	f(z	PROPN
ejpam-7065	17	16	)	)	PUNCT
ejpam-7065	18	1	=	=	SYM
ejpam-7065	18	2	z	z	NOUN
ejpam-7065	19	1	+	+	NOUN
ejpam-7065	19	2	∞∑	∞∑	NUM
ejpam-7065	19	3	s=2	s=2	NOUN
ejpam-7065	19	4	δs	δs	NOUN
ejpam-7065	19	5	z	z	PROPN
ejpam-7065	19	6	s	s	PROPN
ejpam-7065	19	7	,	,	PUNCT
ejpam-7065	19	8	z	z	PROPN
ejpam-7065	19	9	∈	∈	PROPN
ejpam-7065	20	1	o	o	NOUN
ejpam-7065	20	2	,	,	PUNCT
ejpam-7065	20	3	(	(	PUNCT
ejpam-7065	20	4	1	1	X
ejpam-7065	20	5	)	)	PUNCT
ejpam-7065	20	6	where	where	SCONJ
ejpam-7065	20	7	the	the	DET
ejpam-7065	20	8	coefficients	coefficient	NOUN
ejpam-7065	20	9	δs	δs	AUX
ejpam-7065	20	10	encode	encode	VERB
ejpam-7065	20	11	its	its	PRON
ejpam-7065	20	12	higher	high	ADJ
ejpam-7065	20	13	-	-	PUNCT
ejpam-7065	20	14	order	order	NOUN
ejpam-7065	20	15	analytic	analytic	ADJ
ejpam-7065	20	16	structure	structure	NOUN
ejpam-7065	20	17	.	.	PUNCT
ejpam-7065	21	1	in	in	ADP
ejpam-7065	21	2	particular	particular	ADJ
ejpam-7065	21	3	,	,	PUNCT
ejpam-7065	21	4	normalization	normalization	NOUN
ejpam-7065	21	5	ensures	ensure	VERB
ejpam-7065	21	6	that	that	SCONJ
ejpam-7065	21	7	the	the	DET
ejpam-7065	21	8	leading	lead	VERB
ejpam-7065	21	9	term	term	NOUN
ejpam-7065	21	10	is	be	AUX
ejpam-7065	21	11	exactly	exactly	ADV
ejpam-7065	21	12	z.	z.	PROPN
ejpam-7065	21	13	a	a	DET
ejpam-7065	21	14	function	function	NOUN
ejpam-7065	21	15	f	f	PROPN
ejpam-7065	21	16	is	be	AUX
ejpam-7065	21	17	called	call	VERB
ejpam-7065	21	18	a	a	DET
ejpam-7065	21	19	schwarz	schwarz	NOUN
ejpam-7065	21	20	function	function	NOUN
ejpam-7065	21	21	if	if	SCONJ
ejpam-7065	21	22	it	it	PRON
ejpam-7065	21	23	is	be	AUX
ejpam-7065	21	24	analytic	analytic	ADJ
ejpam-7065	21	25	in	in	ADP
ejpam-7065	21	26	o	o	PROPN
ejpam-7065	21	27	,	,	PUNCT
ejpam-7065	21	28	vanishes	vanish	VERB
ejpam-7065	21	29	at	at	ADP
ejpam-7065	21	30	the	the	DET
ejpam-7065	21	31	origin	origin	NOUN
ejpam-7065	21	32	and	and	CCONJ
ejpam-7065	21	33	satisfies	satisfy	VERB
ejpam-7065	21	34	|f(z)|	|f(z)|	PROPN
ejpam-7065	21	35	<	<	X
ejpam-7065	21	36	1	1	NUM
ejpam-7065	21	37	throughout	throughout	ADP
ejpam-7065	21	38	o.	o.	PROPN
ejpam-7065	21	39	such	such	ADJ
ejpam-7065	21	40	functions	function	NOUN
ejpam-7065	21	41	are	be	AUX
ejpam-7065	21	42	central	central	ADJ
ejpam-7065	21	43	to	to	ADP
ejpam-7065	21	44	geometric	geometric	ADJ
ejpam-7065	21	45	function	function	NOUN
ejpam-7065	21	46	theory	theory	NOUN
ejpam-7065	21	47	because	because	SCONJ
ejpam-7065	21	48	of	of	ADP
ejpam-7065	21	49	their	their	PRON
ejpam-7065	21	50	role	role	NOUN
ejpam-7065	21	51	in	in	ADP
ejpam-7065	21	52	univalent	univalent	ADJ
ejpam-7065	21	53	and	and	CCONJ
ejpam-7065	21	54	conformal	conformal	ADJ
ejpam-7065	21	55	mapping	mapping	NOUN
ejpam-7065	21	56	problems	problem	NOUN
ejpam-7065	21	57	.	.	PUNCT
ejpam-7065	22	1	for	for	ADP
ejpam-7065	22	2	two	two	NUM
ejpam-7065	22	3	analytic	analytic	ADJ
ejpam-7065	22	4	functions	function	NOUN
ejpam-7065	22	5	f1	f1	NOUN
ejpam-7065	22	6	,	,	PUNCT
ejpam-7065	22	7	f2	f2	PROPN
ejpam-7065	22	8	∈	∈	VERB
ejpam-7065	22	9	a	a	PRON
ejpam-7065	22	10	,	,	PUNCT
ejpam-7065	22	11	we	we	PRON
ejpam-7065	22	12	write	write	VERB
ejpam-7065	22	13	f1	f1	PROPN
ejpam-7065	22	14	≺	≺	NOUN
ejpam-7065	22	15	f2	f2	VERB
ejpam-7065	22	16	whenever	whenever	SCONJ
ejpam-7065	22	17	there	there	PRON
ejpam-7065	22	18	exists	exist	VERB
ejpam-7065	22	19	a	a	DET
ejpam-7065	22	20	schwarz	schwarz	PROPN
ejpam-7065	22	21	function	function	PROPN
ejpam-7065	22	22	η	η	PROPN
ejpam-7065	22	23	with	with	ADP
ejpam-7065	22	24	f1(z	f1(z	PROPN
ejpam-7065	22	25	)	)	PUNCT
ejpam-7065	22	26	=	=	SYM
ejpam-7065	22	27	f2(η(z	f2(η(z	NUM
ejpam-7065	22	28	)	)	PUNCT
ejpam-7065	22	29	)	)	PUNCT
ejpam-7065	23	1	,	,	PUNCT
ejpam-7065	23	2	z	z	NOUN
ejpam-7065	23	3	∈	∈	PROPN
ejpam-7065	23	4	o.	o.	NOUN
ejpam-7065	23	5	this	this	DET
ejpam-7065	23	6	concept	concept	NOUN
ejpam-7065	23	7	of	of	ADP
ejpam-7065	23	8	subordination	subordination	NOUN
ejpam-7065	23	9	provides	provide	VERB
ejpam-7065	23	10	a	a	DET
ejpam-7065	23	11	powerful	powerful	ADJ
ejpam-7065	23	12	framework	framework	NOUN
ejpam-7065	23	13	for	for	ADP
ejpam-7065	23	14	analyzing	analyze	VERB
ejpam-7065	23	15	inclusion	inclusion	NOUN
ejpam-7065	23	16	,	,	PUNCT
ejpam-7065	23	17	growth	growth	NOUN
ejpam-7065	23	18	,	,	PUNCT
ejpam-7065	23	19	and	and	CCONJ
ejpam-7065	23	20	distortion	distortion	NOUN
ejpam-7065	23	21	properties	property	NOUN
ejpam-7065	23	22	.	.	PUNCT
ejpam-7065	24	1	let	let	VERB
ejpam-7065	24	2	s	s	PRON
ejpam-7065	24	3	⊂	⊂	PRON
ejpam-7065	24	4	a	a	DET
ejpam-7065	24	5	denote	denote	NOUN
ejpam-7065	24	6	the	the	DET
ejpam-7065	24	7	class	class	NOUN
ejpam-7065	24	8	of	of	ADP
ejpam-7065	24	9	univalent	univalent	ADJ
ejpam-7065	24	10	functions	function	NOUN
ejpam-7065	24	11	in	in	ADP
ejpam-7065	24	12	o.	o.	NOUN
ejpam-7065	24	13	if	if	SCONJ
ejpam-7065	24	14	f	f	PROPN
ejpam-7065	24	15	∈	∈	PROPN
ejpam-7065	24	16	s	s	PROPN
ejpam-7065	24	17	,	,	PUNCT
ejpam-7065	24	18	then	then	ADV
ejpam-7065	24	19	f	f	PROPN
ejpam-7065	24	20	admits	admit	VERB
ejpam-7065	24	21	an	an	DET
ejpam-7065	24	22	analytic	analytic	ADJ
ejpam-7065	24	23	inverse	inverse	NOUN
ejpam-7065	24	24	f−1	f−1	PROPN
ejpam-7065	24	25	defined	define	VERB
ejpam-7065	24	26	in	in	ADP
ejpam-7065	24	27	a	a	DET
ejpam-7065	24	28	disk	disk	NOUN
ejpam-7065	24	29	of	of	ADP
ejpam-7065	24	30	radius	radius	NOUN
ejpam-7065	24	31	at	at	ADV
ejpam-7065	24	32	least	least	ADJ
ejpam-7065	24	33	1/4	1/4	NUM
ejpam-7065	24	34	,	,	PUNCT
ejpam-7065	24	35	with	with	ADP
ejpam-7065	24	36	series	series	PROPN
ejpam-7065	24	37	expansion	expansion	NOUN
ejpam-7065	24	38	f−1(ξ	f−1(ξ	PROPN
ejpam-7065	24	39	)	)	PUNCT
ejpam-7065	24	40	=	=	PUNCT
ejpam-7065	25	1	ξ	ξ	PRON
ejpam-7065	25	2	−	−	NOUN
ejpam-7065	25	3	δ2ξ	δ2ξ	PROPN
ejpam-7065	25	4	2	2	NUM
ejpam-7065	25	5	+	+	CCONJ
ejpam-7065	25	6	(	(	PUNCT
ejpam-7065	25	7	2δ22	2δ22	NUM
ejpam-7065	25	8	−	−	PROPN
ejpam-7065	25	9	δ3)ξ	δ3)ξ	NOUN
ejpam-7065	25	10	3	3	NUM
ejpam-7065	25	11	−	−	NOUN
ejpam-7065	25	12	(	(	PUNCT
ejpam-7065	25	13	5δ32	5δ32	NOUN
ejpam-7065	25	14	+	+	CCONJ
ejpam-7065	25	15	δ4	δ4	NOUN
ejpam-7065	25	16	−	−	PROPN
ejpam-7065	25	17	5δ2δ3)ξ	5δ2δ3)ξ	NOUN
ejpam-7065	25	18	4	4	NUM
ejpam-7065	25	19	+	+	CCONJ
ejpam-7065	25	20	·	·	PUNCT
ejpam-7065	25	21	·	·	PUNCT
ejpam-7065	25	22	·	·	PUNCT
ejpam-7065	25	23	.	.	PUNCT
ejpam-7065	26	1	(	(	PUNCT
ejpam-7065	26	2	2	2	X
ejpam-7065	26	3	)	)	PUNCT
ejpam-7065	26	4	a	a	DET
ejpam-7065	26	5	function	function	NOUN
ejpam-7065	26	6	is	be	AUX
ejpam-7065	26	7	termed	term	VERB
ejpam-7065	26	8	bi	bi	ADJ
ejpam-7065	26	9	-	-	ADJ
ejpam-7065	26	10	univalent	univalent	ADJ
ejpam-7065	26	11	if	if	SCONJ
ejpam-7065	26	12	both	both	DET
ejpam-7065	26	13	f	f	PROPN
ejpam-7065	26	14	and	and	CCONJ
ejpam-7065	26	15	f−1	f−1	PROPN
ejpam-7065	26	16	are	be	AUX
ejpam-7065	26	17	univalent	univalent	ADJ
ejpam-7065	26	18	in	in	ADP
ejpam-7065	26	19	o.	o.	PROPN
ejpam-7065	26	20	the	the	DET
ejpam-7065	26	21	set	set	NOUN
ejpam-7065	26	22	of	of	ADP
ejpam-7065	26	23	such	such	ADJ
ejpam-7065	26	24	functions	function	NOUN
ejpam-7065	26	25	is	be	AUX
ejpam-7065	26	26	denoted	denote	VERB
ejpam-7065	26	27	by	by	ADP
ejpam-7065	26	28	σ	σ	PROPN
ejpam-7065	26	29	.	.	PUNCT
ejpam-7065	27	1	another	another	DET
ejpam-7065	27	2	class	class	NOUN
ejpam-7065	27	3	of	of	ADP
ejpam-7065	27	4	interest	interest	NOUN
ejpam-7065	27	5	is	be	AUX
ejpam-7065	27	6	p	p	NOUN
ejpam-7065	27	7	,	,	PUNCT
ejpam-7065	27	8	which	which	PRON
ejpam-7065	27	9	consists	consist	VERB
ejpam-7065	27	10	of	of	ADP
ejpam-7065	27	11	analytic	analytic	ADJ
ejpam-7065	27	12	functions	function	NOUN
ejpam-7065	27	13	in	in	ADP
ejpam-7065	27	14	o	o	NOUN
ejpam-7065	27	15	with	with	ADP
ejpam-7065	27	16	a	a	DET
ejpam-7065	27	17	positive	positive	ADJ
ejpam-7065	27	18	real	real	ADJ
ejpam-7065	27	19	part	part	NOUN
ejpam-7065	27	20	.	.	PUNCT
ejpam-7065	28	1	each	each	DET
ejpam-7065	28	2	ψ	ψ	X
ejpam-7065	28	3	∈	∈	PROPN
ejpam-7065	28	4	p	p	NOUN
ejpam-7065	28	5	admits	admit	VERB
ejpam-7065	28	6	the	the	DET
ejpam-7065	28	7	series	series	NOUN
ejpam-7065	28	8	ψ(z	ψ(z	PROPN
ejpam-7065	28	9	)	)	PUNCT
ejpam-7065	28	10	=	=	SYM
ejpam-7065	29	1	1	1	NUM
ejpam-7065	29	2	+	+	NUM
ejpam-7065	29	3	∞∑	∞∑	NUM
ejpam-7065	29	4	s=1	s=1	ADP
ejpam-7065	29	5	psz	psz	PROPN
ejpam-7065	29	6	s	s	PROPN
ejpam-7065	29	7	,	,	PUNCT
ejpam-7065	29	8	z	z	PROPN
ejpam-7065	29	9	∈	∈	PROPN
ejpam-7065	29	10	o	o	NOUN
ejpam-7065	29	11	,	,	PUNCT
ejpam-7065	29	12	(	(	PUNCT
ejpam-7065	29	13	3	3	X
ejpam-7065	29	14	)	)	PUNCT
ejpam-7065	29	15	where	where	SCONJ
ejpam-7065	29	16	the	the	DET
ejpam-7065	29	17	sharp	sharp	ADJ
ejpam-7065	29	18	estimate	estimate	NOUN
ejpam-7065	29	19	|ps|	|ps|	NOUN
ejpam-7065	29	20	≤	≤	NUM
ejpam-7065	29	21	2	2	NUM
ejpam-7065	29	22	,	,	PUNCT
ejpam-7065	29	23	s	s	VERB
ejpam-7065	29	24	≥	≥	NOUN
ejpam-7065	29	25	1	1	NUM
ejpam-7065	29	26	,	,	PUNCT
ejpam-7065	29	27	(	(	PUNCT
ejpam-7065	29	28	4	4	X
ejpam-7065	29	29	)	)	PUNCT
ejpam-7065	29	30	follows	follow	VERB
ejpam-7065	29	31	from	from	ADP
ejpam-7065	29	32	carathéodory	carathéodory	PROPN
ejpam-7065	29	33	’s	’s	PART
ejpam-7065	29	34	lemma	lemma	PROPN
ejpam-7065	30	1	[	[	X
ejpam-7065	30	2	1	1	NUM
ejpam-7065	30	3	]	]	PUNCT
ejpam-7065	30	4	.	.	PUNCT
ejpam-7065	31	1	moreover	moreover	ADV
ejpam-7065	31	2	,	,	PUNCT
ejpam-7065	31	3	it	it	PRON
ejpam-7065	31	4	is	be	AUX
ejpam-7065	31	5	well	well	ADV
ejpam-7065	31	6	known	know	VERB
ejpam-7065	31	7	that	that	SCONJ
ejpam-7065	31	8	ψ	ψ	ADP
ejpam-7065	32	1	∈	∈	X
ejpam-7065	32	2	p	p	NOUN
ejpam-7065	32	3	if	if	SCONJ
ejpam-7065	32	4	and	and	CCONJ
ejpam-7065	32	5	only	only	ADV
ejpam-7065	32	6	if	if	SCONJ
ejpam-7065	32	7	ψ(z	ψ(z	NOUN
ejpam-7065	32	8	)	)	PUNCT
ejpam-7065	32	9	≺	≺	NOUN
ejpam-7065	32	10	1	1	NUM
ejpam-7065	32	11	+	+	CCONJ
ejpam-7065	32	12	z	z	NOUN
ejpam-7065	32	13	1−	1−	NUM
ejpam-7065	32	14	z	z	NOUN
ejpam-7065	32	15	,	,	PUNCT
ejpam-7065	32	16	z	z	PROPN
ejpam-7065	32	17	∈	∈	PROPN
ejpam-7065	32	18	o.	o.	NOUN
ejpam-7065	32	19	the	the	DET
ejpam-7065	32	20	class	class	NOUN
ejpam-7065	32	21	of	of	ADP
ejpam-7065	32	22	starlike	starlike	NOUN
ejpam-7065	32	23	functions	function	NOUN
ejpam-7065	32	24	,	,	PUNCT
ejpam-7065	32	25	denoted	denote	VERB
ejpam-7065	32	26	s∗	s∗	PROPN
ejpam-7065	32	27	,	,	PUNCT
ejpam-7065	32	28	admits	admit	VERB
ejpam-7065	32	29	elegant	elegant	ADJ
ejpam-7065	32	30	formulations	formulation	NOUN
ejpam-7065	32	31	in	in	ADP
ejpam-7065	32	32	terms	term	NOUN
ejpam-7065	32	33	of	of	ADP
ejpam-7065	32	34	subordination	subordination	NOUN
ejpam-7065	32	35	.	.	PUNCT
ejpam-7065	33	1	ma	ma	PROPN
ejpam-7065	33	2	and	and	CCONJ
ejpam-7065	33	3	minda	minda	PROPN
ejpam-7065	34	1	[	[	X
ejpam-7065	34	2	2	2	NUM
ejpam-7065	34	3	]	]	PUNCT
ejpam-7065	34	4	introduced	introduce	VERB
ejpam-7065	34	5	the	the	DET
ejpam-7065	34	6	generalized	generalized	ADJ
ejpam-7065	34	7	family	family	NOUN
ejpam-7065	34	8	s∗(φ	s∗(φ	PROPN
ejpam-7065	34	9	)	)	PUNCT
ejpam-7065	34	10	=	=	PRON
ejpam-7065	35	1	{	{	PUNCT
ejpam-7065	35	2	f	f	PROPN
ejpam-7065	35	3	∈	∈	PROPN
ejpam-7065	35	4	a	a	PRON
ejpam-7065	35	5	:	:	PUNCT
ejpam-7065	35	6	zf	zf	PROPN
ejpam-7065	35	7	′(z	′(z	NOUN
ejpam-7065	35	8	)	)	PUNCT
ejpam-7065	35	9	f(z	f(z	PROPN
ejpam-7065	35	10	)	)	PUNCT
ejpam-7065	35	11	≺	≺	NOUN
ejpam-7065	35	12	φ(z	φ(z	PROPN
ejpam-7065	35	13	)	)	PUNCT
ejpam-7065	35	14	,	,	PUNCT
ejpam-7065	35	15	φ	φ	PROPN
ejpam-7065	35	16	∈	∈	PROPN
ejpam-7065	35	17	p	p	X
ejpam-7065	35	18	}	}	PUNCT
ejpam-7065	35	19	,	,	PUNCT
ejpam-7065	35	20	a.	a.	NOUN
ejpam-7065	35	21	alsoboh	alsoboh	PROPN
ejpam-7065	35	22	et	et	PROPN
ejpam-7065	35	23	al	al	PROPN
ejpam-7065	35	24	.	.	PUNCT
ejpam-7065	35	25	/	/	SYM
ejpam-7065	35	26	eur	eur	PROPN
ejpam-7065	35	27	.	.	PUNCT
ejpam-7065	36	1	j.	j.	PROPN
ejpam-7065	36	2	pure	pure	PROPN
ejpam-7065	36	3	appl	appl	PROPN
ejpam-7065	36	4	.	.	PROPN
ejpam-7065	36	5	math	math	PROPN
ejpam-7065	36	6	,	,	PUNCT
ejpam-7065	36	7	18	18	NUM
ejpam-7065	36	8	(	(	PUNCT
ejpam-7065	36	9	4	4	NUM
ejpam-7065	36	10	)	)	PUNCT
ejpam-7065	36	11	(	(	PUNCT
ejpam-7065	36	12	2025	2025	NUM
ejpam-7065	36	13	)	)	PUNCT
ejpam-7065	36	14	,	,	PUNCT
ejpam-7065	36	15	7065	7065	NUM
ejpam-7065	36	16	3	3	NUM
ejpam-7065	36	17	of	of	ADP
ejpam-7065	36	18	16	16	NUM
ejpam-7065	36	19	where	where	SCONJ
ejpam-7065	36	20	φ	φ	PROPN
ejpam-7065	36	21	is	be	AUX
ejpam-7065	36	22	analytic	analytic	ADJ
ejpam-7065	36	23	in	in	ADP
ejpam-7065	36	24	o	o	NOUN
ejpam-7065	36	25	and	and	CCONJ
ejpam-7065	36	26	satisfies	satisfy	VERB
ejpam-7065	36	27	<	<	X
ejpam-7065	36	28	e	e	X
ejpam-7065	36	29	(	(	PUNCT
ejpam-7065	36	30	φ(z	φ(z	PROPN
ejpam-7065	36	31	)	)	PUNCT
ejpam-7065	36	32	)	)	PUNCT
ejpam-7065	36	33	>	>	X
ejpam-7065	37	1	0	0	X
ejpam-7065	37	2	.	.	PUNCT
ejpam-7065	37	3	prominent	prominent	ADJ
ejpam-7065	37	4	subclasses	subclass	NOUN
ejpam-7065	37	5	of	of	ADP
ejpam-7065	37	6	s∗	s∗	PROPN
ejpam-7065	37	7	emerge	emerge	VERB
ejpam-7065	37	8	from	from	ADP
ejpam-7065	37	9	specific	specific	ADJ
ejpam-7065	37	10	selections	selection	NOUN
ejpam-7065	37	11	of	of	ADP
ejpam-7065	37	12	φ(z	φ(z	PROPN
ejpam-7065	37	13	)	)	PUNCT
ejpam-7065	37	14	.	.	PUNCT
ejpam-7065	38	1	for	for	ADP
ejpam-7065	38	2	example	example	NOUN
ejpam-7065	38	3	,	,	PUNCT
ejpam-7065	38	4	janowski	janowski	VERB
ejpam-7065	38	5	[	[	X
ejpam-7065	38	6	3	3	NUM
ejpam-7065	38	7	,	,	PUNCT
ejpam-7065	38	8	4	4	NUM
ejpam-7065	38	9	]	]	PUNCT
ejpam-7065	38	10	employed	employ	VERB
ejpam-7065	38	11	φ(z	φ(z	PROPN
ejpam-7065	38	12	)	)	PUNCT
ejpam-7065	39	1	=	=	SYM
ejpam-7065	39	2	1+z	1+z	NUM
ejpam-7065	39	3	1−z	1−z	NUM
ejpam-7065	39	4	.	.	PUNCT
ejpam-7065	40	1	robertson	robertson	PROPN
ejpam-7065	41	1	[	[	X
ejpam-7065	41	2	5	5	NUM
ejpam-7065	41	3	]	]	PUNCT
ejpam-7065	41	4	examined	examine	VERB
ejpam-7065	41	5	the	the	DET
ejpam-7065	41	6	choice	choice	NOUN
ejpam-7065	41	7	φ(z	φ(z	PROPN
ejpam-7065	41	8	)	)	PUNCT
ejpam-7065	41	9	=	=	SYM
ejpam-7065	42	1	1+(1−2ϑ)z	1+(1−2ϑ)z	NUM
ejpam-7065	42	2	1−z	1−z	NUM
ejpam-7065	42	3	,	,	PUNCT
ejpam-7065	42	4	where	where	SCONJ
ejpam-7065	42	5	0	0	NUM
ejpam-7065	42	6	≤	≤	NUM
ejpam-7065	42	7	ϑ	ϑ	X
ejpam-7065	42	8	<	<	X
ejpam-7065	42	9	1	1	NUM
ejpam-7065	42	10	.	.	PUNCT
ejpam-7065	42	11	sokól	sokól	PROPN
ejpam-7065	43	1	[	[	X
ejpam-7065	43	2	6	6	NUM
ejpam-7065	43	3	]	]	PUNCT
ejpam-7065	43	4	studied	study	VERB
ejpam-7065	43	5	φ(z	φ(z	PROPN
ejpam-7065	43	6	)	)	PUNCT
ejpam-7065	43	7	=	=	PUNCT
ejpam-7065	44	1	1+ϑ2z2	1+ϑ2z2	NUM
ejpam-7065	44	2	1−ϑz−ϑ2z2	1−ϑz−ϑ2z2	NUM
ejpam-7065	44	3	with	with	ADP
ejpam-7065	44	4	ϑ	ϑ	X
ejpam-7065	44	5	=	=	SYM
ejpam-7065	44	6	1−	1−	NUM
ejpam-7065	44	7	√	√	NUM
ejpam-7065	44	8	5	5	NUM
ejpam-7065	44	9	2	2	NUM
ejpam-7065	44	10	,	,	PUNCT
ejpam-7065	44	11	and	and	CCONJ
ejpam-7065	44	12	later	later	ADV
ejpam-7065	44	13	introduced	introduce	VERB
ejpam-7065	44	14	the	the	DET
ejpam-7065	44	15	case	case	NOUN
ejpam-7065	44	16	φ(z	φ(z	NOUN
ejpam-7065	44	17	)	)	PUNCT
ejpam-7065	44	18	=	=	SYM
ejpam-7065	44	19	3	3	NUM
ejpam-7065	44	20	3+(ϑ−3)z−ϑ2z2	3+(ϑ−3)z−ϑ2z2	NUM
ejpam-7065	44	21	for	for	ADP
ejpam-7065	44	22	ϑ	ϑ	X
ejpam-7065	44	23	∈	∈	PROPN
ejpam-7065	44	24	(	(	PUNCT
ejpam-7065	44	25	−3	−3	PROPN
ejpam-7065	44	26	,	,	PUNCT
ejpam-7065	44	27	1	1	X
ejpam-7065	44	28	]	]	PUNCT
ejpam-7065	45	1	[	[	X
ejpam-7065	45	2	7	7	NUM
ejpam-7065	45	3	]	]	PUNCT
ejpam-7065	45	4	.	.	PUNCT
ejpam-7065	46	1	these	these	DET
ejpam-7065	46	2	examples	example	NOUN
ejpam-7065	46	3	underscore	underscore	VERB
ejpam-7065	46	4	the	the	DET
ejpam-7065	46	5	diversity	diversity	NOUN
ejpam-7065	46	6	of	of	ADP
ejpam-7065	46	7	subclasses	subclass	NOUN
ejpam-7065	46	8	obtained	obtain	VERB
ejpam-7065	46	9	from	from	ADP
ejpam-7065	46	10	suitable	suitable	ADJ
ejpam-7065	46	11	choices	choice	NOUN
ejpam-7065	46	12	of	of	ADP
ejpam-7065	46	13	the	the	DET
ejpam-7065	46	14	function	function	NOUN
ejpam-7065	46	15	φ	φ	PROPN
ejpam-7065	46	16	.	.	PUNCT
ejpam-7065	46	17	quantum	quantum	ADJ
ejpam-7065	46	18	calculus	calculus	NOUN
ejpam-7065	46	19	(	(	PUNCT
ejpam-7065	46	20	or	or	CCONJ
ejpam-7065	46	21	q	q	NOUN
ejpam-7065	46	22	-	-	PUNCT
ejpam-7065	46	23	calculus	calculus	NOUN
ejpam-7065	46	24	)	)	PUNCT
ejpam-7065	46	25	generalizes	generalize	VERB
ejpam-7065	46	26	classical	classical	ADJ
ejpam-7065	46	27	calculus	calculus	NOUN
ejpam-7065	46	28	by	by	ADP
ejpam-7065	46	29	introducing	introduce	VERB
ejpam-7065	46	30	a	a	DET
ejpam-7065	46	31	parameter	parameter	NOUN
ejpam-7065	46	32	q	q	X
ejpam-7065	46	33	∈	∈	PROPN
ejpam-7065	46	34	(	(	PUNCT
ejpam-7065	46	35	0	0	NUM
ejpam-7065	46	36	,	,	PUNCT
ejpam-7065	46	37	1	1	NUM
ejpam-7065	46	38	)	)	PUNCT
ejpam-7065	46	39	,	,	PUNCT
ejpam-7065	46	40	providing	provide	VERB
ejpam-7065	46	41	a	a	DET
ejpam-7065	46	42	natural	natural	ADJ
ejpam-7065	46	43	deformation	deformation	NOUN
ejpam-7065	46	44	with	with	ADP
ejpam-7065	46	45	deep	deep	ADJ
ejpam-7065	46	46	links	link	NOUN
ejpam-7065	46	47	to	to	ADP
ejpam-7065	46	48	physics	physics	NOUN
ejpam-7065	46	49	,	,	PUNCT
ejpam-7065	46	50	quantum	quantum	NOUN
ejpam-7065	46	51	mechanics	mechanic	NOUN
ejpam-7065	46	52	,	,	PUNCT
ejpam-7065	46	53	and	and	CCONJ
ejpam-7065	46	54	geometric	geometric	ADJ
ejpam-7065	46	55	function	function	NOUN
ejpam-7065	46	56	theory	theory	NOUN
ejpam-7065	46	57	.	.	PUNCT
ejpam-7065	47	1	a	a	DET
ejpam-7065	47	2	fundamental	fundamental	ADJ
ejpam-7065	47	3	tool	tool	NOUN
ejpam-7065	47	4	is	be	AUX
ejpam-7065	47	5	the	the	DET
ejpam-7065	47	6	q	q	ADJ
ejpam-7065	47	7	-	-	PUNCT
ejpam-7065	47	8	difference	difference	NOUN
ejpam-7065	47	9	operator	operator	NOUN
ejpam-7065	47	10	ðq	ðq	NOUN
ejpam-7065	47	11	.	.	PUNCT
ejpam-7065	48	1	seminal	seminal	ADJ
ejpam-7065	48	2	references	reference	NOUN
ejpam-7065	48	3	include	include	VERB
ejpam-7065	48	4	the	the	DET
ejpam-7065	48	5	monograph	monograph	NOUN
ejpam-7065	48	6	by	by	ADP
ejpam-7065	48	7	gasper	gasper	PROPN
ejpam-7065	48	8	and	and	CCONJ
ejpam-7065	48	9	rahman	rahman	PROPN
ejpam-7065	49	1	[	[	X
ejpam-7065	49	2	8	8	NUM
ejpam-7065	49	3	]	]	PUNCT
ejpam-7065	49	4	and	and	CCONJ
ejpam-7065	49	5	analytic	analytic	ADJ
ejpam-7065	49	6	function	function	NOUN
ejpam-7065	49	7	applications	application	NOUN
ejpam-7065	49	8	studied	study	VERB
ejpam-7065	49	9	by	by	ADP
ejpam-7065	49	10	seoudy	seoudy	NOUN
ejpam-7065	49	11	and	and	CCONJ
ejpam-7065	49	12	aouf	aouf	PROPN
ejpam-7065	50	1	[	[	X
ejpam-7065	50	2	9	9	NUM
ejpam-7065	50	3	]	]	PUNCT
ejpam-7065	50	4	.	.	PUNCT
ejpam-7065	51	1	further	further	ADJ
ejpam-7065	51	2	developments	development	NOUN
ejpam-7065	51	3	appear	appear	VERB
ejpam-7065	51	4	in	in	ADP
ejpam-7065	51	5	[	[	X
ejpam-7065	51	6	10–31	10–31	NUM
ejpam-7065	51	7	]	]	PUNCT
ejpam-7065	51	8	.	.	PUNCT
ejpam-7065	52	1	thus	thus	ADV
ejpam-7065	52	2	,	,	PUNCT
ejpam-7065	52	3	polynomials	polynomial	VERB
ejpam-7065	52	4	bridge	bridge	VERB
ejpam-7065	52	5	the	the	DET
ejpam-7065	52	6	gap	gap	NOUN
ejpam-7065	52	7	between	between	ADP
ejpam-7065	52	8	abstract	abstract	ADJ
ejpam-7065	52	9	complex	complex	ADJ
ejpam-7065	52	10	analysis	analysis	NOUN
ejpam-7065	52	11	and	and	CCONJ
ejpam-7065	52	12	computational	computational	ADJ
ejpam-7065	52	13	modeling	modeling	NOUN
ejpam-7065	52	14	,	,	PUNCT
ejpam-7065	52	15	allowing	allow	VERB
ejpam-7065	52	16	deeper	deep	ADJ
ejpam-7065	52	17	exploration	exploration	NOUN
ejpam-7065	52	18	of	of	ADP
ejpam-7065	52	19	geometric	geometric	ADJ
ejpam-7065	52	20	mappings	mapping	NOUN
ejpam-7065	52	21	and	and	CCONJ
ejpam-7065	52	22	their	their	PRON
ejpam-7065	52	23	analytic	analytic	ADJ
ejpam-7065	52	24	behavior	behavior	NOUN
ejpam-7065	52	25	[	[	X
ejpam-7065	52	26	32–36	32–36	NUM
ejpam-7065	52	27	]	]	PUNCT
ejpam-7065	52	28	.	.	PUNCT
ejpam-7065	53	1	definition	definition	NOUN
ejpam-7065	53	2	1	1	NUM
ejpam-7065	53	3	(	(	PUNCT
ejpam-7065	53	4	[	[	X
ejpam-7065	53	5	17	17	NUM
ejpam-7065	53	6	]	]	NUM
ejpam-7065	53	7	)	)	PUNCT
ejpam-7065	53	8	.	.	PUNCT
ejpam-7065	54	1	the	the	PRON
ejpam-7065	54	2	q	q	NOUN
ejpam-7065	54	3	-	-	ADJ
ejpam-7065	54	4	bracket	bracket	NOUN
ejpam-7065	54	5	is	be	AUX
ejpam-7065	54	6	defined	define	VERB
ejpam-7065	54	7	by	by	ADP
ejpam-7065	54	8	dκcq	dκcq	NOUN
ejpam-7065	54	9	=	=	PUNCT
ejpam-7065	54	10			X
ejpam-7065	54	11	1−	1−	NUM
ejpam-7065	55	1	qλ	qλ	PROPN
ejpam-7065	55	2	1−	1−	NUM
ejpam-7065	55	3	q	q	NOUN
ejpam-7065	55	4	,	,	PUNCT
ejpam-7065	55	5	0	0	PUNCT
ejpam-7065	55	6	<	<	X
ejpam-7065	55	7	q	q	X
ejpam-7065	55	8	<	<	X
ejpam-7065	55	9	1	1	NUM
ejpam-7065	55	10	,	,	PUNCT
ejpam-7065	55	11	λ	λ	PROPN
ejpam-7065	55	12	∈	∈	PROPN
ejpam-7065	55	13	c∗	c∗	NOUN
ejpam-7065	55	14	,	,	PUNCT
ejpam-7065	55	15	1	1	NUM
ejpam-7065	55	16	,	,	PUNCT
ejpam-7065	55	17	q	q	X
ejpam-7065	55	18	→	→	SYM
ejpam-7065	55	19	0	0	NUM
ejpam-7065	55	20	+	+	ADJ
ejpam-7065	55	21	,	,	PUNCT
ejpam-7065	55	22	λ	λ	PROPN
ejpam-7065	55	23	,	,	PUNCT
ejpam-7065	55	24	q	q	X
ejpam-7065	55	25	→	→	SYM
ejpam-7065	55	26	1−	1−	NUM
ejpam-7065	55	27	,	,	PUNCT
ejpam-7065	55	28	γ−1∑	γ−1∑	ADP
ejpam-7065	55	29	s=0	s=0	PROPN
ejpam-7065	55	30	qs	qs	NOUN
ejpam-7065	55	31	,	,	PUNCT
ejpam-7065	55	32	0	0	PUNCT
ejpam-7065	55	33	<	<	X
ejpam-7065	55	34	q	q	X
ejpam-7065	55	35	<	<	X
ejpam-7065	55	36	1	1	NUM
ejpam-7065	55	37	,	,	PUNCT
ejpam-7065	55	38	λ	λ	X
ejpam-7065	55	39	=	=	SYM
ejpam-7065	55	40	γ	γ	PROPN
ejpam-7065	55	41	∈	∈	PROPN
ejpam-7065	55	42	n.	n.	NOUN
ejpam-7065	55	43	definition	definition	NOUN
ejpam-7065	55	44	2	2	NUM
ejpam-7065	55	45	(	(	PUNCT
ejpam-7065	55	46	[	[	X
ejpam-7065	55	47	17	17	NUM
ejpam-7065	55	48	]	]	NUM
ejpam-7065	55	49	)	)	PUNCT
ejpam-7065	55	50	.	.	PUNCT
ejpam-7065	56	1	the	the	DET
ejpam-7065	56	2	q	q	NOUN
ejpam-7065	56	3	-	-	ADJ
ejpam-7065	56	4	derivative	derivative	ADJ
ejpam-7065	56	5	(	(	PUNCT
ejpam-7065	56	6	or	or	CCONJ
ejpam-7065	56	7	q	q	ADJ
ejpam-7065	56	8	-	-	PUNCT
ejpam-7065	56	9	difference	difference	NOUN
ejpam-7065	56	10	operator	operator	NOUN
ejpam-7065	56	11	)	)	PUNCT
ejpam-7065	56	12	of	of	ADP
ejpam-7065	56	13	f	f	PROPN
ejpam-7065	56	14	is	be	AUX
ejpam-7065	56	15	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	56	16	)	)	PUNCT
ejpam-7065	56	17	〉	〉	NOUN
ejpam-7065	56	18	=	=	PUNCT
ejpam-7065	56	19			PROPN
ejpam-7065	56	20	f(z)−	f(z)−	PROPN
ejpam-7065	56	21	f(qz	f(qz	PROPN
ejpam-7065	56	22	)	)	PUNCT
ejpam-7065	56	23	z	z	NOUN
ejpam-7065	56	24	−	−	PROPN
ejpam-7065	56	25	qz	qz	PROPN
ejpam-7065	56	26	,	,	PUNCT
ejpam-7065	56	27	0	0	PUNCT
ejpam-7065	56	28	<	<	X
ejpam-7065	56	29	q	q	X
ejpam-7065	56	30	<	<	X
ejpam-7065	56	31	1	1	NUM
ejpam-7065	56	32	,	,	PUNCT
ejpam-7065	56	33	z	z	NOUN
ejpam-7065	56	34	6=	6=	NUM
ejpam-7065	56	35	0	0	NUM
ejpam-7065	56	36	,	,	PUNCT
ejpam-7065	56	37	f	f	PROPN
ejpam-7065	56	38	′(0	′(0	PROPN
ejpam-7065	56	39	)	)	PUNCT
ejpam-7065	56	40	,	,	PUNCT
ejpam-7065	56	41	z	z	NOUN
ejpam-7065	56	42	=	=	SYM
ejpam-7065	56	43	0	0	NUM
ejpam-7065	56	44	,	,	PUNCT
ejpam-7065	56	45	f	f	PROPN
ejpam-7065	56	46	′(z	′(z	NOUN
ejpam-7065	56	47	)	)	PUNCT
ejpam-7065	56	48	,	,	PUNCT
ejpam-7065	56	49	q	q	X
ejpam-7065	56	50	→	→	SYM
ejpam-7065	56	51	1−.	1−.	NUM
ejpam-7065	56	52	remark	remark	NOUN
ejpam-7065	56	53	1	1	NUM
ejpam-7065	56	54	.	.	PUNCT
ejpam-7065	57	1	if	if	SCONJ
ejpam-7065	57	2	f	f	PROPN
ejpam-7065	57	3	has	have	VERB
ejpam-7065	57	4	the	the	DET
ejpam-7065	57	5	form	form	NOUN
ejpam-7065	57	6	(	(	PUNCT
ejpam-7065	57	7	1	1	NUM
ejpam-7065	57	8	)	)	PUNCT
ejpam-7065	57	9	,	,	PUNCT
ejpam-7065	57	10	then	then	ADV
ejpam-7065	57	11	ðq〈f(z	ðq〈f(z	NUM
ejpam-7065	57	12	)	)	PUNCT
ejpam-7065	57	13	〉	〉	NOUN
ejpam-7065	57	14	=	=	SYM
ejpam-7065	57	15	1	1	NUM
ejpam-7065	57	16	+	+	NUM
ejpam-7065	57	17	∞∑	∞∑	NUM
ejpam-7065	57	18	s=2	s=2	PRON
ejpam-7065	57	19	dscq	dscq	PROPN
ejpam-7065	57	20	δs	δs	PROPN
ejpam-7065	57	21	zs−1	zs−1	PROPN
ejpam-7065	57	22	,	,	PUNCT
ejpam-7065	57	23	while	while	SCONJ
ejpam-7065	57	24	for	for	ADP
ejpam-7065	57	25	its	its	PRON
ejpam-7065	57	26	inverse	inverse	NOUN
ejpam-7065	57	27	f−1	f−1	PROPN
ejpam-7065	57	28	given	give	VERB
ejpam-7065	57	29	by	by	ADP
ejpam-7065	57	30	(	(	PUNCT
ejpam-7065	57	31	2	2	NUM
ejpam-7065	57	32	)	)	PUNCT
ejpam-7065	57	33	,	,	PUNCT
ejpam-7065	57	34	ðq〈f−1(ξ	ðq〈f−1(ξ	ADJ
ejpam-7065	57	35	)	)	PUNCT
ejpam-7065	57	36	〉	〉	NOUN
ejpam-7065	57	37	=	=	SYM
ejpam-7065	57	38	1−	1−	NUM
ejpam-7065	57	39	d2cqδ2ξ	d2cqδ2ξ	PROPN
ejpam-7065	57	40	+	+	CCONJ
ejpam-7065	57	41	d3cq(2δ22	d3cq(2δ22	PROPN
ejpam-7065	57	42	−	−	PROPN
ejpam-7065	57	43	δ3)ξ	δ3)ξ	NOUN
ejpam-7065	57	44	2	2	NUM
ejpam-7065	57	45	−	−	PROPN
ejpam-7065	58	1	d4cq(5δ32	d4cq(5δ32	PROPN
ejpam-7065	58	2	+	+	CCONJ
ejpam-7065	58	3	δ4	δ4	PROPN
ejpam-7065	58	4	−	−	PROPN
ejpam-7065	58	5	5δ2δ3)ξ	5δ2δ3)ξ	NOUN
ejpam-7065	58	6	3	3	NUM
ejpam-7065	58	7	+	+	CCONJ
ejpam-7065	58	8	·	·	PUNCT
ejpam-7065	58	9	·	·	PUNCT
ejpam-7065	58	10	·	·	PUNCT
ejpam-7065	58	11	.	.	PUNCT
ejpam-7065	59	1	alsoboh	alsoboh	PROPN
ejpam-7065	59	2	et	et	PROPN
ejpam-7065	59	3	al	al	PROPN
ejpam-7065	59	4	.	.	PUNCT
ejpam-7065	60	1	[	[	X
ejpam-7065	60	2	37	37	NUM
ejpam-7065	60	3	]	]	PUNCT
ejpam-7065	60	4	introduced	introduce	VERB
ejpam-7065	60	5	the	the	DET
ejpam-7065	60	6	q	q	ADJ
ejpam-7065	60	7	-	-	PUNCT
ejpam-7065	60	8	starlike	starlike	ADJ
ejpam-7065	60	9	class	class	NOUN
ejpam-7065	60	10	slq	slq	NOUN
ejpam-7065	60	11	=	=	PRON
ejpam-7065	60	12	{	{	PUNCT
ejpam-7065	60	13	f	f	PROPN
ejpam-7065	60	14	∈	∈	PROPN
ejpam-7065	60	15	a	a	DET
ejpam-7065	60	16	:	:	PUNCT
ejpam-7065	60	17	zðq〈f(z	zðq〈f(z	PROPN
ejpam-7065	60	18	)	)	PUNCT
ejpam-7065	60	19	〉	〉	PROPN
ejpam-7065	60	20	f(z	f(z	PROPN
ejpam-7065	60	21	)	)	PUNCT
ejpam-7065	60	22	≺	≺	NOUN
ejpam-7065	60	23	υ(z	υ(z	PROPN
ejpam-7065	60	24	;	;	PUNCT
ejpam-7065	60	25	q	q	X
ejpam-7065	60	26	)	)	PUNCT
ejpam-7065	60	27	}	}	PUNCT
ejpam-7065	60	28	,	,	PUNCT
ejpam-7065	60	29	(	(	PUNCT
ejpam-7065	60	30	5	5	X
ejpam-7065	60	31	)	)	PUNCT
ejpam-7065	60	32	a.	a.	NOUN
ejpam-7065	60	33	alsoboh	alsoboh	NOUN
ejpam-7065	60	34	et	et	PROPN
ejpam-7065	60	35	al	al	PROPN
ejpam-7065	60	36	.	.	PUNCT
ejpam-7065	60	37	/	/	SYM
ejpam-7065	60	38	eur	eur	PROPN
ejpam-7065	60	39	.	.	PUNCT
ejpam-7065	61	1	j.	j.	PROPN
ejpam-7065	61	2	pure	pure	PROPN
ejpam-7065	61	3	appl	appl	PROPN
ejpam-7065	61	4	.	.	PROPN
ejpam-7065	61	5	math	math	PROPN
ejpam-7065	61	6	,	,	PUNCT
ejpam-7065	61	7	18	18	NUM
ejpam-7065	61	8	(	(	PUNCT
ejpam-7065	61	9	4	4	NUM
ejpam-7065	61	10	)	)	PUNCT
ejpam-7065	61	11	(	(	PUNCT
ejpam-7065	61	12	2025	2025	NUM
ejpam-7065	61	13	)	)	PUNCT
ejpam-7065	61	14	,	,	PUNCT
ejpam-7065	61	15	7065	7065	NUM
ejpam-7065	61	16	4	4	NUM
ejpam-7065	61	17	of	of	ADP
ejpam-7065	61	18	16	16	NUM
ejpam-7065	62	1	where	where	SCONJ
ejpam-7065	62	2	υ(z	υ(z	PROPN
ejpam-7065	62	3	;	;	PUNCT
ejpam-7065	62	4	q	q	X
ejpam-7065	62	5	)	)	PUNCT
ejpam-7065	62	6	=	=	SYM
ejpam-7065	62	7	1	1	NUM
ejpam-7065	62	8	+	+	CCONJ
ejpam-7065	62	9	qϑ2qz	qϑ2qz	PROPN
ejpam-7065	62	10	2	2	NUM
ejpam-7065	62	11	1−	1−	NUM
ejpam-7065	62	12	ϑqz	ϑqz	NOUN
ejpam-7065	62	13	−	−	PROPN
ejpam-7065	62	14	qϑ2qz	qϑ2qz	NOUN
ejpam-7065	62	15	2	2	NUM
ejpam-7065	62	16	,	,	PUNCT
ejpam-7065	62	17	ϑq	ϑq	X
ejpam-7065	62	18	=	=	SYM
ejpam-7065	62	19	1−	1−	NUM
ejpam-7065	62	20	√	√	NUM
ejpam-7065	62	21	4q	4q	NOUN
ejpam-7065	62	22	+	+	CCONJ
ejpam-7065	62	23	1	1	NUM
ejpam-7065	62	24	2q	2q	NOUN
ejpam-7065	62	25	,	,	PUNCT
ejpam-7065	62	26	(	(	PUNCT
ejpam-7065	62	27	6	6	NUM
ejpam-7065	62	28	)	)	PUNCT
ejpam-7065	62	29	with	with	ADP
ejpam-7065	62	30	ϑq	ϑq	NOUN
ejpam-7065	62	31	representing	represent	VERB
ejpam-7065	62	32	the	the	DET
ejpam-7065	62	33	q	q	ADJ
ejpam-7065	62	34	analog	analog	NOUN
ejpam-7065	62	35	of	of	ADP
ejpam-7065	62	36	the	the	DET
ejpam-7065	62	37	fibonacci	fibonacci	NOUN
ejpam-7065	62	38	numbers	number	NOUN
ejpam-7065	62	39	.	.	PUNCT
ejpam-7065	63	1	moreover	moreover	ADV
ejpam-7065	63	2	,	,	PUNCT
ejpam-7065	63	3	they	they	PRON
ejpam-7065	63	4	established	establish	VERB
ejpam-7065	63	5	connections	connection	NOUN
ejpam-7065	63	6	between	between	ADP
ejpam-7065	63	7	ϑq	ϑq	PROPN
ejpam-7065	63	8	and	and	CCONJ
ejpam-7065	63	9	the	the	DET
ejpam-7065	63	10	q	q	ADJ
ejpam-7065	63	11	-	-	PUNCT
ejpam-7065	63	12	fibonacci	fibonacci	NOUN
ejpam-7065	63	13	polynomials	polynomial	NOUN
ejpam-7065	63	14	φs(q	φs(q	NOUN
ejpam-7065	63	15	)	)	PUNCT
ejpam-7065	63	16	,	,	PUNCT
ejpam-7065	63	17	with	with	ADP
ejpam-7065	63	18	the	the	DET
ejpam-7065	63	19	recurrence	recurrence	NOUN
ejpam-7065	63	20	p̂s	p̂s	NOUN
ejpam-7065	63	21	=	=	PUNCT
ejpam-7065	63	22			VERB
ejpam-7065	63	23	ϑq	ϑq	VERB
ejpam-7065	63	24	,	,	PUNCT
ejpam-7065	63	25	s	s	PART
ejpam-7065	63	26	=	=	SYM
ejpam-7065	63	27	1	1	NUM
ejpam-7065	63	28	,	,	PUNCT
ejpam-7065	63	29	(	(	PUNCT
ejpam-7065	63	30	2q	2q	NOUN
ejpam-7065	63	31	+	+	CCONJ
ejpam-7065	63	32	1)ϑ2q	1)ϑ2q	NUM
ejpam-7065	63	33	,	,	PUNCT
ejpam-7065	63	34	s	s	PART
ejpam-7065	63	35	=	=	SYM
ejpam-7065	63	36	2	2	NUM
ejpam-7065	63	37	,	,	PUNCT
ejpam-7065	63	38	(	(	PUNCT
ejpam-7065	63	39	3q	3q	NUM
ejpam-7065	63	40	+	+	NUM
ejpam-7065	63	41	1)ϑ3q	1)ϑ3q	NOUN
ejpam-7065	63	42	,	,	PUNCT
ejpam-7065	63	43	s	s	PART
ejpam-7065	63	44	=	=	SYM
ejpam-7065	63	45	3	3	NUM
ejpam-7065	63	46	,	,	PUNCT
ejpam-7065	63	47	(	(	PUNCT
ejpam-7065	63	48	φs+1(q	φs+1(q	PROPN
ejpam-7065	63	49	)	)	PUNCT
ejpam-7065	64	1	+	+	CCONJ
ejpam-7065	64	2	qφs−1(q))ϑ	qφs−1(q))ϑ	PROPN
ejpam-7065	64	3	s	s	VERB
ejpam-7065	64	4	q	q	NOUN
ejpam-7065	64	5	,	,	PUNCT
ejpam-7065	64	6	s	s	X
ejpam-7065	64	7	≥	≥	NOUN
ejpam-7065	64	8	4	4	NUM
ejpam-7065	64	9	.	.	PUNCT
ejpam-7065	65	1	(	(	PUNCT
ejpam-7065	65	2	7	7	X
ejpam-7065	65	3	)	)	PUNCT
ejpam-7065	65	4	the	the	DET
ejpam-7065	65	5	initial	initial	ADJ
ejpam-7065	65	6	terms	term	NOUN
ejpam-7065	65	7	of	of	ADP
ejpam-7065	65	8	the	the	DET
ejpam-7065	65	9	q	q	ADJ
ejpam-7065	65	10	-	-	PUNCT
ejpam-7065	65	11	fibonacci	fibonacci	NOUN
ejpam-7065	65	12	sequence	sequence	NOUN
ejpam-7065	65	13	are	be	AUX
ejpam-7065	65	14	listed	list	VERB
ejpam-7065	65	15	in	in	ADP
ejpam-7065	65	16	table	table	NOUN
ejpam-7065	65	17	1	1	NUM
ejpam-7065	65	18	,	,	PUNCT
ejpam-7065	65	19	reducing	reduce	VERB
ejpam-7065	65	20	to	to	ADP
ejpam-7065	65	21	the	the	DET
ejpam-7065	65	22	classical	classical	ADJ
ejpam-7065	65	23	fibonacci	fibonacci	NOUN
ejpam-7065	65	24	numbers	number	NOUN
ejpam-7065	65	25	as	as	ADP
ejpam-7065	65	26	q	q	NOUN
ejpam-7065	65	27	→	→	SYM
ejpam-7065	65	28	1−.	1−.	NUM
ejpam-7065	65	29	table	table	NOUN
ejpam-7065	65	30	1	1	NUM
ejpam-7065	65	31	:	:	PUNCT
ejpam-7065	65	32	classical	classical	ADJ
ejpam-7065	65	33	fibonacci	fibonacci	NOUN
ejpam-7065	65	34	numbers	number	NOUN
ejpam-7065	65	35	and	and	CCONJ
ejpam-7065	65	36	their	their	PRON
ejpam-7065	65	37	q	q	NOUN
ejpam-7065	65	38	-	-	PUNCT
ejpam-7065	65	39	analogues	analogue	NOUN
ejpam-7065	65	40	.	.	PUNCT
ejpam-7065	66	1	classical	classical	ADJ
ejpam-7065	66	2	fibonacci	fibonacci	PROPN
ejpam-7065	66	3	q	q	PROPN
ejpam-7065	66	4	-	-	PUNCT
ejpam-7065	66	5	fibonacci	fibonacci	NOUN
ejpam-7065	66	6	φ0	φ0	NOUN
ejpam-7065	66	7	=	=	NOUN
ejpam-7065	66	8	0	0	NUM
ejpam-7065	66	9	φ0(q	φ0(q	NOUN
ejpam-7065	66	10	)	)	PUNCT
ejpam-7065	66	11	=	=	SYM
ejpam-7065	66	12	0	0	NUM
ejpam-7065	67	1	φ1	φ1	NOUN
ejpam-7065	67	2	=	=	PUNCT
ejpam-7065	67	3	1	1	NUM
ejpam-7065	67	4	φ1(q	φ1(q	NUM
ejpam-7065	67	5	)	)	PUNCT
ejpam-7065	67	6	=	=	SYM
ejpam-7065	67	7	1	1	NUM
ejpam-7065	67	8	φ2	φ2	NOUN
ejpam-7065	67	9	=	=	NOUN
ejpam-7065	67	10	1	1	NUM
ejpam-7065	67	11	φ2(q	φ2(q	NOUN
ejpam-7065	67	12	)	)	PUNCT
ejpam-7065	67	13	=	=	SYM
ejpam-7065	67	14	1	1	NUM
ejpam-7065	67	15	φ3	φ3	NOUN
ejpam-7065	67	16	=	=	SYM
ejpam-7065	67	17	2	2	NUM
ejpam-7065	67	18	φ3(q	φ3(q	PROPN
ejpam-7065	67	19	)	)	PUNCT
ejpam-7065	67	20	=	=	SYM
ejpam-7065	67	21	1	1	NUM
ejpam-7065	67	22	+	+	CCONJ
ejpam-7065	67	23	q	q	NOUN
ejpam-7065	67	24	φ4	φ4	NOUN
ejpam-7065	67	25	=	=	SYM
ejpam-7065	67	26	3	3	NUM
ejpam-7065	67	27	φ4(q	φ4(q	NOUN
ejpam-7065	67	28	)	)	PUNCT
ejpam-7065	67	29	=	=	SYM
ejpam-7065	67	30	1	1	NUM
ejpam-7065	67	31	+	+	NUM
ejpam-7065	67	32	2q	2q	NUM
ejpam-7065	67	33	in	in	ADP
ejpam-7065	67	34	the	the	DET
ejpam-7065	67	35	limit	limit	NOUN
ejpam-7065	67	36	q	q	X
ejpam-7065	67	37	→	→	SYM
ejpam-7065	67	38	1−	1−	NUM
ejpam-7065	67	39	,	,	PUNCT
ejpam-7065	67	40	the	the	DET
ejpam-7065	67	41	class	class	NOUN
ejpam-7065	67	42	slq	slq	NOUN
ejpam-7065	67	43	recovers	recover	VERB
ejpam-7065	67	44	the	the	DET
ejpam-7065	67	45	classical	classical	ADJ
ejpam-7065	67	46	starlike	starlike	NOUN
ejpam-7065	67	47	family	family	NOUN
ejpam-7065	67	48	associated	associate	VERB
ejpam-7065	67	49	with	with	ADP
ejpam-7065	67	50	the	the	DET
ejpam-7065	67	51	fibonacci	fibonacci	NOUN
ejpam-7065	67	52	generating	generating	NOUN
ejpam-7065	67	53	function	function	NOUN
ejpam-7065	67	54	:	:	PUNCT
ejpam-7065	68	1	sl	sl	NOUN
ejpam-7065	68	2	=	=	PUNCT
ejpam-7065	68	3	{	{	PUNCT
ejpam-7065	68	4	f	f	PROPN
ejpam-7065	68	5	∈	∈	PROPN
ejpam-7065	69	1	a	a	DET
ejpam-7065	69	2	:	:	PUNCT
ejpam-7065	69	3	zf	zf	PROPN
ejpam-7065	69	4	′(z	′(z	NOUN
ejpam-7065	69	5	)	)	PUNCT
ejpam-7065	69	6	f(z	f(z	PROPN
ejpam-7065	69	7	)	)	PUNCT
ejpam-7065	69	8	≺	≺	NOUN
ejpam-7065	69	9	υ(z	υ(z	NOUN
ejpam-7065	69	10	)	)	PUNCT
ejpam-7065	69	11	}	}	PUNCT
ejpam-7065	69	12	,	,	PUNCT
ejpam-7065	69	13	υ(z	υ(z	ADJ
ejpam-7065	69	14	)	)	PUNCT
ejpam-7065	69	15	=	=	SYM
ejpam-7065	69	16	1	1	NUM
ejpam-7065	69	17	+	+	CCONJ
ejpam-7065	69	18	ϑ2z2	ϑ2z2	X
ejpam-7065	69	19	1−	1−	NUM
ejpam-7065	69	20	ϑz	ϑz	PRON
ejpam-7065	69	21	−	−	PROPN
ejpam-7065	69	22	ϑ2z2	ϑ2z2	X
ejpam-7065	69	23	,	,	PUNCT
ejpam-7065	69	24	where	where	SCONJ
ejpam-7065	69	25	ϑ	ϑ	X
ejpam-7065	69	26	=	=	SYM
ejpam-7065	69	27	1−	1−	NUM
ejpam-7065	69	28	√	√	NUM
ejpam-7065	69	29	5	5	NUM
ejpam-7065	69	30	2	2	NUM
ejpam-7065	69	31	.	.	PUNCT
ejpam-7065	70	1	furthermore	furthermore	ADV
ejpam-7065	70	2	,	,	PUNCT
ejpam-7065	70	3	alsoboh	alsoboh	PROPN
ejpam-7065	70	4	et	et	PROPN
ejpam-7065	70	5	al	al	PROPN
ejpam-7065	70	6	.	.	PUNCT
ejpam-7065	71	1	[	[	X
ejpam-7065	71	2	17	17	NUM
ejpam-7065	71	3	]	]	PUNCT
ejpam-7065	71	4	defined	define	VERB
ejpam-7065	71	5	the	the	DET
ejpam-7065	71	6	q	q	ADJ
ejpam-7065	71	7	-	-	PUNCT
ejpam-7065	71	8	convex	convex	ADJ
ejpam-7065	71	9	class	class	NOUN
ejpam-7065	71	10	kslq	kslq	NOUN
ejpam-7065	71	11	via	via	ADP
ejpam-7065	71	12	1	1	NUM
ejpam-7065	71	13	+	+	NUM
ejpam-7065	71	14	zð2q〈f(z	zð2q〈f(z	NOUN
ejpam-7065	71	15	)	)	PUNCT
ejpam-7065	71	16	〉	〉	PROPN
ejpam-7065	71	17	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	71	18	)	)	PUNCT
ejpam-7065	71	19	〉	〉	PROPN
ejpam-7065	71	20	≺	≺	NOUN
ejpam-7065	71	21	υ(z	υ(z	PROPN
ejpam-7065	71	22	;	;	PUNCT
ejpam-7065	71	23	q	q	X
ejpam-7065	71	24	)	)	PUNCT
ejpam-7065	71	25	,	,	PUNCT
ejpam-7065	71	26	z	z	PROPN
ejpam-7065	71	27	∈	∈	PROPN
ejpam-7065	71	28	o.	o.	NOUN
ejpam-7065	71	29	(	(	PUNCT
ejpam-7065	71	30	8)	8)	NUM
ejpam-7065	71	31	this	this	DET
ejpam-7065	71	32	generalization	generalization	NOUN
ejpam-7065	71	33	involves	involve	VERB
ejpam-7065	71	34	a	a	DET
ejpam-7065	71	35	higher	high	ADJ
ejpam-7065	71	36	-	-	PUNCT
ejpam-7065	71	37	order	order	NOUN
ejpam-7065	71	38	q	q	ADJ
ejpam-7065	71	39	-	-	PUNCT
ejpam-7065	71	40	difference	difference	NOUN
ejpam-7065	71	41	operator	operator	NOUN
ejpam-7065	71	42	,	,	PUNCT
ejpam-7065	71	43	capturing	capture	VERB
ejpam-7065	71	44	refined	refined	ADJ
ejpam-7065	71	45	geometric	geometric	ADJ
ejpam-7065	71	46	structures	structure	NOUN
ejpam-7065	71	47	.	.	PUNCT
ejpam-7065	72	1	a.	a.	PROPN
ejpam-7065	72	2	alsoboh	alsoboh	PROPN
ejpam-7065	72	3	et	et	PROPN
ejpam-7065	72	4	al	al	PROPN
ejpam-7065	72	5	.	.	PUNCT
ejpam-7065	72	6	/	/	SYM
ejpam-7065	72	7	eur	eur	PROPN
ejpam-7065	72	8	.	.	PUNCT
ejpam-7065	73	1	j.	j.	PROPN
ejpam-7065	73	2	pure	pure	PROPN
ejpam-7065	73	3	appl	appl	PROPN
ejpam-7065	73	4	.	.	PROPN
ejpam-7065	73	5	math	math	PROPN
ejpam-7065	73	6	,	,	PUNCT
ejpam-7065	73	7	18	18	NUM
ejpam-7065	73	8	(	(	PUNCT
ejpam-7065	73	9	4	4	NUM
ejpam-7065	73	10	)	)	PUNCT
ejpam-7065	73	11	(	(	PUNCT
ejpam-7065	73	12	2025	2025	NUM
ejpam-7065	73	13	)	)	PUNCT
ejpam-7065	73	14	,	,	PUNCT
ejpam-7065	73	15	7065	7065	NUM
ejpam-7065	73	16	5	5	NUM
ejpam-7065	73	17	of	of	ADP
ejpam-7065	73	18	16	16	NUM
ejpam-7065	73	19	2	2	NUM
ejpam-7065	73	20	.	.	PUNCT
ejpam-7065	74	1	definition	definition	NOUN
ejpam-7065	74	2	and	and	CCONJ
ejpam-7065	74	3	examples	example	NOUN
ejpam-7065	74	4	motivated	motivate	VERB
ejpam-7065	74	5	by	by	ADP
ejpam-7065	74	6	the	the	DET
ejpam-7065	74	7	theory	theory	NOUN
ejpam-7065	74	8	of	of	ADP
ejpam-7065	74	9	q	q	ADJ
ejpam-7065	74	10	-	-	PUNCT
ejpam-7065	74	11	fibonacci	fibonacci	NOUN
ejpam-7065	74	12	numbers	number	NOUN
ejpam-7065	74	13	,	,	PUNCT
ejpam-7065	74	14	we	we	PRON
ejpam-7065	74	15	introduce	introduce	VERB
ejpam-7065	74	16	a	a	DET
ejpam-7065	74	17	new	new	ADJ
ejpam-7065	74	18	subclass	subclass	NOUN
ejpam-7065	74	19	of	of	ADP
ejpam-7065	74	20	bi	bi	ADJ
ejpam-7065	74	21	-	-	ADJ
ejpam-7065	74	22	univalent	univalent	ADJ
ejpam-7065	74	23	functions	function	NOUN
ejpam-7065	74	24	associated	associate	VERB
ejpam-7065	74	25	with	with	ADP
ejpam-7065	74	26	shell	shell	NOUN
ejpam-7065	74	27	-	-	PUNCT
ejpam-7065	74	28	like	like	ADJ
ejpam-7065	74	29	curves	curve	NOUN
ejpam-7065	74	30	.	.	PUNCT
ejpam-7065	75	1	definition	definition	NOUN
ejpam-7065	75	2	3	3	NUM
ejpam-7065	75	3	.	.	PUNCT
ejpam-7065	76	1	let	let	VERB
ejpam-7065	76	2	β	β	PRON
ejpam-7065	76	3	∈	∈	PROPN
ejpam-7065	77	1	[	[	X
ejpam-7065	77	2	0	0	NUM
ejpam-7065	77	3	,	,	PUNCT
ejpam-7065	77	4	1	1	NUM
ejpam-7065	77	5	]	]	PUNCT
ejpam-7065	77	6	and	and	CCONJ
ejpam-7065	77	7	ρ	ρ	NUM
ejpam-7065	77	8	∈	∈	PROPN
ejpam-7065	77	9	c	c	NOUN
ejpam-7065	77	10	\	\	X
ejpam-7065	77	11	{	{	PUNCT
ejpam-7065	77	12	0	0	NUM
ejpam-7065	77	13	}	}	PUNCT
ejpam-7065	77	14	.	.	PUNCT
ejpam-7065	78	1	a	a	DET
ejpam-7065	78	2	bi	bi	ADJ
ejpam-7065	78	3	-	-	ADJ
ejpam-7065	78	4	univalent	univalent	ADJ
ejpam-7065	78	5	function	function	NOUN
ejpam-7065	78	6	f	f	PROPN
ejpam-7065	78	7	of	of	ADP
ejpam-7065	78	8	the	the	DET
ejpam-7065	78	9	form	form	NOUN
ejpam-7065	78	10	(	(	PUNCT
ejpam-7065	78	11	1	1	X
ejpam-7065	78	12	)	)	PUNCT
ejpam-7065	78	13	is	be	AUX
ejpam-7065	78	14	said	say	VERB
ejpam-7065	78	15	to	to	PART
ejpam-7065	78	16	belong	belong	VERB
ejpam-7065	78	17	to	to	ADP
ejpam-7065	78	18	the	the	DET
ejpam-7065	78	19	class	class	NOUN
ejpam-7065	78	20	slmς(β	slmς(β	PROPN
ejpam-7065	78	21	,	,	PUNCT
ejpam-7065	78	22	ρ	ρ	PROPN
ejpam-7065	78	23	;	;	PUNCT
ejpam-7065	78	24	q	q	X
ejpam-7065	78	25	)	)	PUNCT
ejpam-7065	78	26	if	if	SCONJ
ejpam-7065	78	27	and	and	CCONJ
ejpam-7065	78	28	only	only	ADV
ejpam-7065	78	29	if	if	SCONJ
ejpam-7065	78	30	1	1	NUM
ejpam-7065	78	31	+	+	SYM
ejpam-7065	78	32	1	1	NUM
ejpam-7065	78	33	ρ	ρ	NOUN
ejpam-7065	78	34	[	[	PUNCT
ejpam-7065	78	35	(	(	PUNCT
ejpam-7065	78	36	1−	1−	NUM
ejpam-7065	78	37	β	β	NOUN
ejpam-7065	78	38	)	)	PUNCT
ejpam-7065	78	39	z	z	PROPN
ejpam-7065	78	40	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	78	41	)	)	PUNCT
ejpam-7065	78	42	〉	〉	PROPN
ejpam-7065	78	43	f(z	f(z	PROPN
ejpam-7065	78	44	)	)	PUNCT
ejpam-7065	79	1	+	+	CCONJ
ejpam-7065	79	2	β	β	X
ejpam-7065	79	3	ðq(z	ðq(z	X
ejpam-7065	79	4	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	79	5	)	)	PUNCT
ejpam-7065	79	6	〉	〉	PROPN
ejpam-7065	79	7	)	)	PUNCT
ejpam-7065	79	8	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	79	9	)	)	PUNCT
ejpam-7065	79	10	〉	〉	NOUN
ejpam-7065	79	11	−	−	NOUN
ejpam-7065	79	12	1	1	NUM
ejpam-7065	79	13	]	]	PUNCT
ejpam-7065	79	14	≺	≺	NOUN
ejpam-7065	79	15	υ(z	υ(z	NOUN
ejpam-7065	79	16	;	;	PUNCT
ejpam-7065	79	17	q	q	X
ejpam-7065	79	18	)	)	PUNCT
ejpam-7065	79	19	,	,	PUNCT
ejpam-7065	79	20	z	z	PROPN
ejpam-7065	79	21	∈	∈	PROPN
ejpam-7065	80	1	o	o	NOUN
ejpam-7065	80	2	,	,	PUNCT
ejpam-7065	80	3	(	(	PUNCT
ejpam-7065	80	4	9	9	NUM
ejpam-7065	80	5	)	)	PUNCT
ejpam-7065	80	6	and	and	CCONJ
ejpam-7065	80	7	simultaneously	simultaneously	ADV
ejpam-7065	80	8	1	1	NUM
ejpam-7065	80	9	+	+	SYM
ejpam-7065	80	10	1	1	NUM
ejpam-7065	80	11	ρ	ρ	NOUN
ejpam-7065	80	12	[	[	PUNCT
ejpam-7065	80	13	(	(	PUNCT
ejpam-7065	80	14	1−	1−	NUM
ejpam-7065	80	15	β	β	X
ejpam-7065	80	16	)	)	PUNCT
ejpam-7065	80	17	ξ	ξ	X
ejpam-7065	80	18	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	80	19	)	)	PUNCT
ejpam-7065	80	20	〉	〉	PROPN
ejpam-7065	80	21	χ(ξ	χ(ξ	NOUN
ejpam-7065	80	22	)	)	PUNCT
ejpam-7065	80	23	+	+	CCONJ
ejpam-7065	80	24	β	β	NOUN
ejpam-7065	80	25	ðq(ξ	ðq(ξ	X
ejpam-7065	81	1	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	81	2	)	)	PUNCT
ejpam-7065	81	3	〉	〉	NOUN
ejpam-7065	81	4	)	)	PUNCT
ejpam-7065	81	5	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	81	6	)	)	PUNCT
ejpam-7065	81	7	〉	〉	NOUN
ejpam-7065	81	8	−	−	NOUN
ejpam-7065	81	9	1	1	NUM
ejpam-7065	81	10	]	]	PUNCT
ejpam-7065	81	11	≺	≺	NOUN
ejpam-7065	81	12	υ(ξ	υ(ξ	PUNCT
ejpam-7065	81	13	;	;	PUNCT
ejpam-7065	81	14	q	q	X
ejpam-7065	81	15	)	)	PUNCT
ejpam-7065	81	16	,	,	PUNCT
ejpam-7065	81	17	ξ	ξ	PROPN
ejpam-7065	81	18	∈	∈	PROPN
ejpam-7065	81	19	o	o	NOUN
ejpam-7065	81	20	,	,	PUNCT
ejpam-7065	81	21	(	(	PUNCT
ejpam-7065	81	22	10	10	NUM
ejpam-7065	81	23	)	)	PUNCT
ejpam-7065	81	24	where	where	SCONJ
ejpam-7065	81	25	χ	χ	NOUN
ejpam-7065	81	26	=	=	X
ejpam-7065	81	27	f−1	f−1	PROPN
ejpam-7065	81	28	is	be	AUX
ejpam-7065	81	29	given	give	VERB
ejpam-7065	81	30	by	by	ADP
ejpam-7065	81	31	(	(	PUNCT
ejpam-7065	81	32	2	2	NUM
ejpam-7065	81	33	)	)	PUNCT
ejpam-7065	81	34	,	,	PUNCT
ejpam-7065	81	35	and	and	CCONJ
ejpam-7065	81	36	the	the	DET
ejpam-7065	81	37	functions	function	NOUN
ejpam-7065	81	38	υ(z	υ(z	NOUN
ejpam-7065	81	39	;	;	PUNCT
ejpam-7065	81	40	q	q	X
ejpam-7065	81	41	)	)	PUNCT
ejpam-7065	81	42	and	and	CCONJ
ejpam-7065	81	43	ϑq	ϑq	NOUN
ejpam-7065	81	44	are	be	AUX
ejpam-7065	81	45	defined	define	VERB
ejpam-7065	81	46	in	in	ADP
ejpam-7065	81	47	(	(	PUNCT
ejpam-7065	81	48	6	6	NUM
ejpam-7065	81	49	)	)	PUNCT
ejpam-7065	81	50	.	.	PUNCT
ejpam-7065	82	1	changing	change	VERB
ejpam-7065	82	2	the	the	DET
ejpam-7065	82	3	parameters	parameter	NOUN
ejpam-7065	82	4	ρ	ρ	PROPN
ejpam-7065	82	5	∈	∈	PROPN
ejpam-7065	82	6	c∗	c∗	NOUN
ejpam-7065	82	7	,	,	PUNCT
ejpam-7065	82	8	β	β	X
ejpam-7065	82	9	∈	∈	PROPN
ejpam-7065	83	1	[	[	X
ejpam-7065	83	2	0	0	NUM
ejpam-7065	83	3	,	,	PUNCT
ejpam-7065	83	4	1	1	NUM
ejpam-7065	83	5	]	]	PUNCT
ejpam-7065	83	6	,	,	PUNCT
ejpam-7065	83	7	and	and	CCONJ
ejpam-7065	83	8	q	q	PROPN
ejpam-7065	83	9	∈	∈	PROPN
ejpam-7065	83	10	(	(	PUNCT
ejpam-7065	83	11	0	0	NUM
ejpam-7065	83	12	,	,	PUNCT
ejpam-7065	83	13	1	1	NUM
ejpam-7065	83	14	)	)	PUNCT
ejpam-7065	83	15	,	,	PUNCT
ejpam-7065	83	16	a	a	DET
ejpam-7065	83	17	family	family	NOUN
ejpam-7065	83	18	of	of	ADP
ejpam-7065	83	19	subclasses	subclass	NOUN
ejpam-7065	83	20	of	of	ADP
ejpam-7065	83	21	σ	σ	PROPN
ejpam-7065	83	22	is	be	AUX
ejpam-7065	83	23	generated	generate	VERB
ejpam-7065	83	24	,	,	PUNCT
ejpam-7065	83	25	exhibiting	exhibit	VERB
ejpam-7065	83	26	diverse	diverse	ADJ
ejpam-7065	83	27	geometric	geometric	ADJ
ejpam-7065	83	28	characteristics	characteristic	NOUN
ejpam-7065	83	29	.	.	PUNCT
ejpam-7065	83	30	example	example	NOUN
ejpam-7065	84	1	1	1	NUM
ejpam-7065	84	2	.	.	PUNCT
ejpam-7065	85	1	if	if	SCONJ
ejpam-7065	85	2	ρ	ρ	PROPN
ejpam-7065	85	3	=	=	SYM
ejpam-7065	85	4	1	1	NUM
ejpam-7065	85	5	,	,	PUNCT
ejpam-7065	85	6	the	the	DET
ejpam-7065	85	7	class	class	NOUN
ejpam-7065	85	8	reduces	reduce	VERB
ejpam-7065	85	9	to	to	ADP
ejpam-7065	85	10	slmς(β	slmς(β	NOUN
ejpam-7065	85	11	;	;	PUNCT
ejpam-7065	85	12	q	q	X
ejpam-7065	85	13	)	)	PUNCT
ejpam-7065	85	14	,	,	PUNCT
ejpam-7065	85	15	where	where	SCONJ
ejpam-7065	85	16	each	each	DET
ejpam-7065	85	17	f	f	PROPN
ejpam-7065	85	18	∈	∈	PROPN
ejpam-7065	85	19	σ	σ	NOUN
ejpam-7065	85	20	satisfies	satisfie	NOUN
ejpam-7065	85	21	(	(	PUNCT
ejpam-7065	85	22	1−	1−	NUM
ejpam-7065	85	23	β	β	NOUN
ejpam-7065	85	24	)	)	PUNCT
ejpam-7065	85	25	z	z	PROPN
ejpam-7065	85	26	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	85	27	)	)	PUNCT
ejpam-7065	85	28	〉	〉	PROPN
ejpam-7065	85	29	f(z	f(z	PROPN
ejpam-7065	85	30	)	)	PUNCT
ejpam-7065	86	1	+	+	CCONJ
ejpam-7065	86	2	β	β	X
ejpam-7065	86	3	ðq(z	ðq(z	X
ejpam-7065	86	4	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	86	5	)	)	PUNCT
ejpam-7065	86	6	〉	〉	PROPN
ejpam-7065	86	7	)	)	PUNCT
ejpam-7065	86	8	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	86	9	)	)	PUNCT
ejpam-7065	86	10	〉	〉	PROPN
ejpam-7065	86	11	≺	≺	NOUN
ejpam-7065	86	12	υ(z	υ(z	PROPN
ejpam-7065	86	13	;	;	PUNCT
ejpam-7065	86	14	q	q	X
ejpam-7065	86	15	)	)	PUNCT
ejpam-7065	86	16	,	,	PUNCT
ejpam-7065	86	17	and	and	CCONJ
ejpam-7065	86	18	(	(	PUNCT
ejpam-7065	86	19	1−	1−	NUM
ejpam-7065	86	20	β	β	X
ejpam-7065	86	21	)	)	PUNCT
ejpam-7065	86	22	ξ	ξ	X
ejpam-7065	86	23	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	86	24	)	)	PUNCT
ejpam-7065	86	25	〉	〉	PROPN
ejpam-7065	86	26	χ(ξ	χ(ξ	NOUN
ejpam-7065	86	27	)	)	PUNCT
ejpam-7065	87	1	+	+	CCONJ
ejpam-7065	87	2	β	β	NOUN
ejpam-7065	87	3	ðq(ξ	ðq(ξ	X
ejpam-7065	88	1	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	88	2	)	)	PUNCT
ejpam-7065	88	3	〉	〉	NOUN
ejpam-7065	88	4	)	)	PUNCT
ejpam-7065	88	5	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	88	6	)	)	PUNCT
ejpam-7065	88	7	〉	〉	PROPN
ejpam-7065	88	8	≺	≺	NOUN
ejpam-7065	88	9	υ(ξ	υ(ξ	PUNCT
ejpam-7065	88	10	;	;	PUNCT
ejpam-7065	88	11	q	q	X
ejpam-7065	88	12	)	)	PUNCT
ejpam-7065	88	13	,	,	PUNCT
ejpam-7065	88	14	where	where	SCONJ
ejpam-7065	88	15	χ	χ	X
ejpam-7065	88	16	=	=	SYM
ejpam-7065	88	17	f−1	f−1	PROPN
ejpam-7065	88	18	.	.	PUNCT
ejpam-7065	88	19	example	example	NOUN
ejpam-7065	89	1	2	2	NUM
ejpam-7065	89	2	.	.	PUNCT
ejpam-7065	90	1	if	if	SCONJ
ejpam-7065	90	2	β	β	X
ejpam-7065	90	3	=	=	SYM
ejpam-7065	90	4	0	0	NUM
ejpam-7065	90	5	and	and	CCONJ
ejpam-7065	90	6	ρ	ρ	NUM
ejpam-7065	91	1	=	=	SYM
ejpam-7065	91	2	1	1	NUM
ejpam-7065	91	3	,	,	PUNCT
ejpam-7065	91	4	we	we	PRON
ejpam-7065	91	5	obtain	obtain	VERB
ejpam-7065	91	6	slς(υ(z	slς(υ(z	ADV
ejpam-7065	91	7	;	;	PUNCT
ejpam-7065	91	8	q	q	X
ejpam-7065	91	9	)	)	PUNCT
ejpam-7065	91	10	)	)	PUNCT
ejpam-7065	91	11	,	,	PUNCT
ejpam-7065	91	12	consisting	consist	VERB
ejpam-7065	91	13	of	of	ADP
ejpam-7065	91	14	f	f	PROPN
ejpam-7065	91	15	∈	∈	PROPN
ejpam-7065	91	16	σ	σ	NOUN
ejpam-7065	92	1	such	such	ADJ
ejpam-7065	92	2	that	that	SCONJ
ejpam-7065	92	3	z	z	PROPN
ejpam-7065	92	4	ðq〈f(z	ðq〈f(z	NOUN
ejpam-7065	92	5	)	)	PUNCT
ejpam-7065	92	6	〉	〉	PROPN
ejpam-7065	92	7	f(z	f(z	PROPN
ejpam-7065	92	8	)	)	PUNCT
ejpam-7065	92	9	≺	≺	NOUN
ejpam-7065	92	10	υ(z	υ(z	PROPN
ejpam-7065	92	11	;	;	PUNCT
ejpam-7065	92	12	q	q	X
ejpam-7065	92	13	)	)	PUNCT
ejpam-7065	92	14	,	,	PUNCT
ejpam-7065	92	15	ξ	ξ	X
ejpam-7065	92	16	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	92	17	)	)	PUNCT
ejpam-7065	92	18	〉	〉	PROPN
ejpam-7065	92	19	χ(ξ	χ(ξ	NOUN
ejpam-7065	92	20	)	)	PUNCT
ejpam-7065	92	21	≺	≺	NOUN
ejpam-7065	92	22	υ(ξ	υ(ξ	PUNCT
ejpam-7065	92	23	;	;	PUNCT
ejpam-7065	92	24	q	q	X
ejpam-7065	92	25	)	)	PUNCT
ejpam-7065	92	26	.	.	PUNCT
ejpam-7065	92	27	example	example	NOUN
ejpam-7065	93	1	3	3	X
ejpam-7065	93	2	.	.	PUNCT
ejpam-7065	94	1	if	if	SCONJ
ejpam-7065	94	2	β	β	X
ejpam-7065	94	3	=	=	SYM
ejpam-7065	94	4	1	1	NUM
ejpam-7065	94	5	and	and	CCONJ
ejpam-7065	94	6	ρ	ρ	NUM
ejpam-7065	95	1	=	=	SYM
ejpam-7065	95	2	1	1	NUM
ejpam-7065	95	3	,	,	PUNCT
ejpam-7065	95	4	the	the	DET
ejpam-7065	95	5	class	class	NOUN
ejpam-7065	95	6	reduces	reduce	VERB
ejpam-7065	95	7	to	to	AUX
ejpam-7065	95	8	klς(υ(z	klς(υ(z	NOUN
ejpam-7065	95	9	;	;	PUNCT
ejpam-7065	95	10	q	q	X
ejpam-7065	95	11	)	)	PUNCT
ejpam-7065	95	12	)	)	PUNCT
ejpam-7065	95	13	,	,	PUNCT
ejpam-7065	95	14	consisting	consist	VERB
ejpam-7065	95	15	of	of	ADP
ejpam-7065	95	16	f	f	PROPN
ejpam-7065	95	17	∈	∈	PROPN
ejpam-7065	95	18	σ	σ	NOUN
ejpam-7065	95	19	such	such	ADJ
ejpam-7065	95	20	that	that	DET
ejpam-7065	95	21	1	1	NUM
ejpam-7065	95	22	+	+	SYM
ejpam-7065	95	23	z	z	NOUN
ejpam-7065	95	24	ð2q〈f(z	ð2q〈f(z	PRON
ejpam-7065	95	25	)	)	PUNCT
ejpam-7065	95	26	〉	〉	PROPN
ejpam-7065	95	27	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	95	28	)	)	PUNCT
ejpam-7065	95	29	〉	〉	PROPN
ejpam-7065	95	30	≺	≺	NOUN
ejpam-7065	95	31	υ(z	υ(z	PROPN
ejpam-7065	95	32	;	;	PUNCT
ejpam-7065	95	33	q	q	X
ejpam-7065	95	34	)	)	PUNCT
ejpam-7065	95	35	,	,	PUNCT
ejpam-7065	95	36	1	1	NUM
ejpam-7065	95	37	+	+	SYM
ejpam-7065	95	38	ξ	ξ	NOUN
ejpam-7065	95	39	ð2q〈χ(ξ	ð2q〈χ(ξ	NUM
ejpam-7065	95	40	)	)	PUNCT
ejpam-7065	95	41	〉	〉	PROPN
ejpam-7065	95	42	ðq〈χ(ξ	ðq〈χ(ξ	PROPN
ejpam-7065	95	43	)	)	PUNCT
ejpam-7065	95	44	〉	〉	PROPN
ejpam-7065	95	45	≺	≺	NOUN
ejpam-7065	95	46	υ(ξ	υ(ξ	PUNCT
ejpam-7065	95	47	;	;	PUNCT
ejpam-7065	95	48	q	q	X
ejpam-7065	95	49	)	)	PUNCT
ejpam-7065	95	50	.	.	PUNCT
ejpam-7065	96	1	example	example	NOUN
ejpam-7065	97	1	4	4	NUM
ejpam-7065	97	2	.	.	PUNCT
ejpam-7065	98	1	if	if	SCONJ
ejpam-7065	98	2	q	q	PROPN
ejpam-7065	98	3	→	→	SYM
ejpam-7065	98	4	1−	1−	NUM
ejpam-7065	98	5	and	and	CCONJ
ejpam-7065	98	6	ρ	ρ	NUM
ejpam-7065	99	1	=	=	SYM
ejpam-7065	99	2	1	1	NUM
ejpam-7065	99	3	,	,	PUNCT
ejpam-7065	99	4	we	we	PRON
ejpam-7065	99	5	recover	recover	VERB
ejpam-7065	99	6	the	the	DET
ejpam-7065	99	7	classical	classical	ADJ
ejpam-7065	99	8	class	class	NOUN
ejpam-7065	99	9	slmς(β	slmς(β	NOUN
ejpam-7065	99	10	)	)	PUNCT
ejpam-7065	99	11	,	,	PUNCT
ejpam-7065	99	12	where	where	SCONJ
ejpam-7065	99	13	f	f	PROPN
ejpam-7065	99	14	∈	∈	PROPN
ejpam-7065	99	15	σ	σ	NOUN
ejpam-7065	99	16	satisfies	satisfie	NOUN
ejpam-7065	99	17	(	(	PUNCT
ejpam-7065	99	18	1−	1−	NUM
ejpam-7065	99	19	β	β	NOUN
ejpam-7065	99	20	)	)	PUNCT
ejpam-7065	99	21	zf	zf	PROPN
ejpam-7065	99	22	′(z	′(z	NOUN
ejpam-7065	99	23	)	)	PUNCT
ejpam-7065	99	24	f(z	f(z	PROPN
ejpam-7065	99	25	)	)	PUNCT
ejpam-7065	99	26	+	+	CCONJ
ejpam-7065	99	27	β	β	X
ejpam-7065	99	28	zf	zf	PROPN
ejpam-7065	99	29	′′(z	′′(z	PROPN
ejpam-7065	99	30	)	)	PUNCT
ejpam-7065	99	31	f	f	PROPN
ejpam-7065	99	32	′(z	′(z	NOUN
ejpam-7065	99	33	)	)	PUNCT
ejpam-7065	99	34	≺	≺	NOUN
ejpam-7065	99	35	υ(z	υ(z	NOUN
ejpam-7065	99	36	)	)	PUNCT
ejpam-7065	99	37	,	,	PUNCT
ejpam-7065	99	38	(	(	PUNCT
ejpam-7065	99	39	1−	1−	NUM
ejpam-7065	99	40	β	β	X
ejpam-7065	99	41	)	)	PUNCT
ejpam-7065	99	42	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-7065	99	43	)	)	PUNCT
ejpam-7065	99	44	χ(ξ	χ(ξ	PROPN
ejpam-7065	99	45	)	)	PUNCT
ejpam-7065	99	46	+	+	CCONJ
ejpam-7065	99	47	β	β	X
ejpam-7065	99	48	ξχ′′(ξ	ξχ′′(ξ	PROPN
ejpam-7065	99	49	)	)	PUNCT
ejpam-7065	99	50	χ′(ξ	χ′(ξ	NOUN
ejpam-7065	99	51	)	)	PUNCT
ejpam-7065	99	52	≺	≺	NOUN
ejpam-7065	99	53	υ(ξ	υ(ξ	NUM
ejpam-7065	99	54	)	)	PUNCT
ejpam-7065	99	55	,	,	PUNCT
ejpam-7065	99	56	with	with	ADP
ejpam-7065	99	57	ϑ	ϑ	X
ejpam-7065	99	58	=	=	SYM
ejpam-7065	99	59	1−	1−	NUM
ejpam-7065	99	60	√	√	NUM
ejpam-7065	99	61	5	5	NUM
ejpam-7065	99	62	2	2	NUM
ejpam-7065	99	63	.	.	PUNCT
ejpam-7065	100	1	a.	a.	PROPN
ejpam-7065	100	2	alsoboh	alsoboh	PROPN
ejpam-7065	100	3	et	et	PROPN
ejpam-7065	100	4	al	al	PROPN
ejpam-7065	100	5	.	.	PUNCT
ejpam-7065	100	6	/	/	SYM
ejpam-7065	100	7	eur	eur	PROPN
ejpam-7065	100	8	.	.	PUNCT
ejpam-7065	101	1	j.	j.	PROPN
ejpam-7065	101	2	pure	pure	PROPN
ejpam-7065	101	3	appl	appl	PROPN
ejpam-7065	101	4	.	.	PROPN
ejpam-7065	101	5	math	math	PROPN
ejpam-7065	101	6	,	,	PUNCT
ejpam-7065	101	7	18	18	NUM
ejpam-7065	101	8	(	(	PUNCT
ejpam-7065	101	9	4	4	NUM
ejpam-7065	101	10	)	)	PUNCT
ejpam-7065	101	11	(	(	PUNCT
ejpam-7065	101	12	2025	2025	NUM
ejpam-7065	101	13	)	)	PUNCT
ejpam-7065	101	14	,	,	PUNCT
ejpam-7065	101	15	7065	7065	NUM
ejpam-7065	101	16	6	6	NUM
ejpam-7065	101	17	of	of	ADP
ejpam-7065	101	18	16	16	NUM
ejpam-7065	101	19	example	example	NOUN
ejpam-7065	101	20	5	5	NUM
ejpam-7065	101	21	.	.	PUNCT
ejpam-7065	102	1	if	if	SCONJ
ejpam-7065	102	2	q	q	PROPN
ejpam-7065	102	3	→	→	SYM
ejpam-7065	102	4	1−	1−	NUM
ejpam-7065	102	5	,	,	PUNCT
ejpam-7065	102	6	β	β	X
ejpam-7065	102	7	=	=	SYM
ejpam-7065	102	8	0	0	NUM
ejpam-7065	102	9	,	,	PUNCT
ejpam-7065	102	10	and	and	CCONJ
ejpam-7065	102	11	ρ	ρ	NUM
ejpam-7065	102	12	=	=	SYM
ejpam-7065	102	13	1	1	NUM
ejpam-7065	102	14	,	,	PUNCT
ejpam-7065	102	15	we	we	PRON
ejpam-7065	102	16	obtain	obtain	VERB
ejpam-7065	102	17	slς(υ(z	slς(υ(z	ADJ
ejpam-7065	102	18	)	)	PUNCT
ejpam-7065	102	19	)	)	PUNCT
ejpam-7065	102	20	,	,	PUNCT
ejpam-7065	102	21	where	where	SCONJ
ejpam-7065	102	22	f	f	PROPN
ejpam-7065	102	23	∈	∈	PROPN
ejpam-7065	102	24	σ	σ	PROPN
ejpam-7065	102	25	satisfies	satisfie	NOUN
ejpam-7065	102	26	zf	zf	PROPN
ejpam-7065	102	27	′(z	′(z	NOUN
ejpam-7065	102	28	)	)	PUNCT
ejpam-7065	102	29	f(z	f(z	PROPN
ejpam-7065	102	30	)	)	PUNCT
ejpam-7065	102	31	≺	≺	NOUN
ejpam-7065	102	32	υ(z	υ(z	NOUN
ejpam-7065	102	33	)	)	PUNCT
ejpam-7065	102	34	,	,	PUNCT
ejpam-7065	102	35	ξχ′(ξ	ξχ′(ξ	PROPN
ejpam-7065	102	36	)	)	PUNCT
ejpam-7065	102	37	χ(ξ	χ(ξ	NOUN
ejpam-7065	102	38	)	)	PUNCT
ejpam-7065	102	39	≺	≺	NOUN
ejpam-7065	102	40	υ(ξ	υ(ξ	NUM
ejpam-7065	102	41	)	)	PUNCT
ejpam-7065	102	42	.	.	PUNCT
ejpam-7065	103	1	example	example	NOUN
ejpam-7065	104	1	6	6	NUM
ejpam-7065	104	2	.	.	PUNCT
ejpam-7065	105	1	if	if	SCONJ
ejpam-7065	105	2	q	q	X
ejpam-7065	105	3	→	→	SYM
ejpam-7065	105	4	1−	1−	NUM
ejpam-7065	105	5	,	,	PUNCT
ejpam-7065	105	6	β	β	X
ejpam-7065	105	7	=	=	SYM
ejpam-7065	105	8	1	1	NUM
ejpam-7065	105	9	,	,	PUNCT
ejpam-7065	105	10	and	and	CCONJ
ejpam-7065	105	11	ρ	ρ	NUM
ejpam-7065	105	12	=	=	SYM
ejpam-7065	105	13	1	1	NUM
ejpam-7065	105	14	,	,	PUNCT
ejpam-7065	105	15	the	the	DET
ejpam-7065	105	16	class	class	NOUN
ejpam-7065	105	17	reduces	reduce	VERB
ejpam-7065	105	18	to	to	AUX
ejpam-7065	105	19	klς(υ(z	klς(υ(z	VERB
ejpam-7065	105	20	)	)	PUNCT
ejpam-7065	105	21	)	)	PUNCT
ejpam-7065	105	22	,	,	PUNCT
ejpam-7065	105	23	consisting	consist	VERB
ejpam-7065	105	24	of	of	ADP
ejpam-7065	105	25	f	f	PROPN
ejpam-7065	105	26	∈	∈	PROPN
ejpam-7065	105	27	σ	σ	NOUN
ejpam-7065	105	28	such	such	ADJ
ejpam-7065	105	29	that	that	SCONJ
ejpam-7065	105	30	1	1	NUM
ejpam-7065	105	31	+	+	NUM
ejpam-7065	105	32	zf	zf	PROPN
ejpam-7065	105	33	′′(z	′′(z	PROPN
ejpam-7065	105	34	)	)	PUNCT
ejpam-7065	105	35	f	f	PROPN
ejpam-7065	105	36	′(z	′(z	NOUN
ejpam-7065	105	37	)	)	PUNCT
ejpam-7065	105	38	≺	≺	NOUN
ejpam-7065	105	39	υ(z	υ(z	NOUN
ejpam-7065	105	40	)	)	PUNCT
ejpam-7065	105	41	,	,	PUNCT
ejpam-7065	105	42	1	1	NUM
ejpam-7065	105	43	+	+	SYM
ejpam-7065	105	44	ξχ′′(ξ	ξχ′′(ξ	PROPN
ejpam-7065	105	45	)	)	PUNCT
ejpam-7065	105	46	χ′(ξ	χ′(ξ	NOUN
ejpam-7065	105	47	)	)	PUNCT
ejpam-7065	105	48	≺	≺	NOUN
ejpam-7065	105	49	υ(ξ	υ(ξ	NUM
ejpam-7065	105	50	)	)	PUNCT
ejpam-7065	105	51	.	.	PUNCT
ejpam-7065	106	1	3	3	X
ejpam-7065	106	2	.	.	X
ejpam-7065	106	3	main	main	ADJ
ejpam-7065	106	4	results	result	NOUN
ejpam-7065	106	5	in	in	ADP
ejpam-7065	106	6	this	this	DET
ejpam-7065	106	7	section	section	NOUN
ejpam-7065	106	8	,	,	PUNCT
ejpam-7065	106	9	we	we	PRON
ejpam-7065	106	10	establish	establish	VERB
ejpam-7065	106	11	coefficient	coefficient	NOUN
ejpam-7065	106	12	bounds	bound	NOUN
ejpam-7065	106	13	for	for	ADP
ejpam-7065	106	14	the	the	DET
ejpam-7065	106	15	initial	initial	ADJ
ejpam-7065	106	16	taylor	taylor	PROPN
ejpam-7065	106	17	coefficients	coefficient	NOUN
ejpam-7065	106	18	|δ2|	|δ2|	NOUN
ejpam-7065	106	19	and	and	CCONJ
ejpam-7065	106	20	|δ3|	|δ3|	NOUN
ejpam-7065	106	21	of	of	ADP
ejpam-7065	106	22	functions	function	NOUN
ejpam-7065	106	23	belonging	belong	VERB
ejpam-7065	106	24	to	to	ADP
ejpam-7065	106	25	the	the	DET
ejpam-7065	106	26	class	class	NOUN
ejpam-7065	106	27	slmς(β	slmς(β	PROPN
ejpam-7065	106	28	,	,	PUNCT
ejpam-7065	106	29	ρ	ρ	PROPN
ejpam-7065	106	30	;	;	PUNCT
ejpam-7065	106	31	q	q	X
ejpam-7065	106	32	)	)	PUNCT
ejpam-7065	106	33	,	,	PUNCT
ejpam-7065	106	34	as	as	SCONJ
ejpam-7065	106	35	introduced	introduce	VERB
ejpam-7065	106	36	in	in	ADP
ejpam-7065	106	37	definition	definition	NOUN
ejpam-7065	106	38	3	3	NUM
ejpam-7065	106	39	.	.	PUNCT
ejpam-7065	107	1	firstly	firstly	ADV
ejpam-7065	107	2	,	,	PUNCT
ejpam-7065	107	3	let	let	VERB
ejpam-7065	107	4	us	we	PRON
ejpam-7065	107	5	p(z	p(z	VERB
ejpam-7065	107	6	)	)	PUNCT
ejpam-7065	107	7	=	=	SYM
ejpam-7065	108	1	1	1	NUM
ejpam-7065	108	2	+	+	NUM
ejpam-7065	108	3	p1z	p1z	NOUN
ejpam-7065	108	4	+	+	CCONJ
ejpam-7065	108	5	p2z	p2z	PROPN
ejpam-7065	108	6	2	2	NUM
ejpam-7065	108	7	+	+	CCONJ
ejpam-7065	108	8	p3z	p3z	ADJ
ejpam-7065	108	9	3	3	NUM
ejpam-7065	108	10	+	+	CCONJ
ejpam-7065	108	11	·	·	PUNCT
ejpam-7065	108	12	·	·	PUNCT
ejpam-7065	108	13	·	·	PUNCT
ejpam-7065	108	14	,	,	PUNCT
ejpam-7065	108	15	p(z	p(z	NOUN
ejpam-7065	108	16	)	)	PUNCT
ejpam-7065	108	17	≺	≺	NOUN
ejpam-7065	108	18	υ(z	υ(z	PROPN
ejpam-7065	108	19	;	;	PUNCT
ejpam-7065	108	20	q	q	X
ejpam-7065	108	21	)	)	PUNCT
ejpam-7065	108	22	.	.	PUNCT
ejpam-7065	109	1	then	then	ADV
ejpam-7065	109	2	there	there	PRON
ejpam-7065	109	3	exists	exist	VERB
ejpam-7065	109	4	a	a	DET
ejpam-7065	109	5	schwarz	schwarz	PROPN
ejpam-7065	109	6	function	function	NOUN
ejpam-7065	109	7	ψ	ψ	X
ejpam-7065	109	8	∈	∈	PROPN
ejpam-7065	109	9	p	p	X
ejpam-7065	109	10	,	,	PUNCT
ejpam-7065	109	11	with	with	ADP
ejpam-7065	109	12	|ψ(z)|	|ψ(z)|	PRON
ejpam-7065	109	13	<	<	X
ejpam-7065	109	14	1	1	NUM
ejpam-7065	109	15	for	for	ADP
ejpam-7065	109	16	all	all	DET
ejpam-7065	109	17	z	z	NOUN
ejpam-7065	109	18	∈	∈	PROPN
ejpam-7065	109	19	o	o	NOUN
ejpam-7065	109	20	,	,	PUNCT
ejpam-7065	109	21	such	such	ADJ
ejpam-7065	109	22	that	that	DET
ejpam-7065	109	23	p(z	p(z	NOUN
ejpam-7065	109	24	)	)	PUNCT
ejpam-7065	109	25	=	=	SYM
ejpam-7065	109	26	υ(ψ(z	υ(ψ(z	PROPN
ejpam-7065	109	27	)	)	PUNCT
ejpam-7065	109	28	;	;	PUNCT
ejpam-7065	109	29	q	q	X
ejpam-7065	109	30	)	)	PUNCT
ejpam-7065	109	31	.	.	PUNCT
ejpam-7065	110	1	in	in	ADP
ejpam-7065	110	2	this	this	DET
ejpam-7065	110	3	setting	setting	NOUN
ejpam-7065	110	4	,	,	PUNCT
ejpam-7065	110	5	we	we	PRON
ejpam-7065	110	6	may	may	AUX
ejpam-7065	110	7	define	define	VERB
ejpam-7065	110	8	the	the	DET
ejpam-7065	110	9	following	following	NOUN
ejpam-7065	110	10	.	.	PUNCT
ejpam-7065	111	1	ℏ(z	ℏ(z	NOUN
ejpam-7065	111	2	)	)	PUNCT
ejpam-7065	111	3	=	=	SYM
ejpam-7065	112	1	1	1	NUM
ejpam-7065	112	2	+	+	NUM
ejpam-7065	112	3	ψ(z	ψ(z	PROPN
ejpam-7065	112	4	)	)	PUNCT
ejpam-7065	112	5	1−	1−	NUM
ejpam-7065	112	6	ψ(z	ψ(z	PROPN
ejpam-7065	112	7	)	)	PUNCT
ejpam-7065	112	8	=	=	SYM
ejpam-7065	112	9	1	1	NUM
ejpam-7065	113	1	+	+	CCONJ
ejpam-7065	113	2	ℓ1z	ℓ1z	PROPN
ejpam-7065	113	3	+	+	CCONJ
ejpam-7065	113	4	ℓ2z	ℓ2z	NUM
ejpam-7065	113	5	2	2	NUM
ejpam-7065	113	6	+	+	NUM
ejpam-7065	113	7	·	·	PUNCT
ejpam-7065	113	8	·	·	PUNCT
ejpam-7065	113	9	·	·	PUNCT
ejpam-7065	113	10	,	,	PUNCT
ejpam-7065	113	11	z	z	X
ejpam-7065	113	12	∈	∈	PROPN
ejpam-7065	113	13	o	o	NOUN
ejpam-7065	113	14	,	,	PUNCT
ejpam-7065	113	15	(	(	PUNCT
ejpam-7065	113	16	11	11	NUM
ejpam-7065	113	17	)	)	PUNCT
ejpam-7065	113	18	which	which	PRON
ejpam-7065	113	19	belongs	belong	VERB
ejpam-7065	113	20	to	to	ADP
ejpam-7065	113	21	the	the	DET
ejpam-7065	113	22	class	class	NOUN
ejpam-7065	113	23	p.	p.	NOUN
ejpam-7065	113	24	consequently	consequently	ADV
ejpam-7065	113	25	,	,	PUNCT
ejpam-7065	113	26	since	since	SCONJ
ejpam-7065	113	27	ψ(z	ψ(z	PROPN
ejpam-7065	113	28	)	)	PUNCT
ejpam-7065	113	29	is	be	AUX
ejpam-7065	113	30	analytic	analytic	ADJ
ejpam-7065	113	31	in	in	ADP
ejpam-7065	113	32	o	o	NOUN
ejpam-7065	113	33	and	and	CCONJ
ejpam-7065	113	34	subordinate	subordinate	VERB
ejpam-7065	113	35	to	to	ADP
ejpam-7065	113	36	υ(z	υ(z	NOUN
ejpam-7065	113	37	;	;	PUNCT
ejpam-7065	113	38	q	q	X
ejpam-7065	113	39	)	)	PUNCT
ejpam-7065	113	40	,	,	PUNCT
ejpam-7065	113	41	it	it	PRON
ejpam-7065	113	42	admits	admit	VERB
ejpam-7065	113	43	the	the	DET
ejpam-7065	113	44	taylor	taylor	PROPN
ejpam-7065	113	45	expansion	expansion	NOUN
ejpam-7065	113	46	ψ(z	ψ(z	PROPN
ejpam-7065	113	47	)	)	PUNCT
ejpam-7065	113	48	=	=	PRON
ejpam-7065	113	49	ℓ1	ℓ1	VERB
ejpam-7065	113	50	2	2	NUM
ejpam-7065	113	51	z	z	NOUN
ejpam-7065	113	52	+	+	NOUN
ejpam-7065	113	53	1	1	NUM
ejpam-7065	113	54	2	2	NUM
ejpam-7065	113	55	(	(	PUNCT
ejpam-7065	113	56	ℓ2	ℓ2	NOUN
ejpam-7065	113	57	−	−	PROPN
ejpam-7065	113	58	ℓ21	ℓ21	NOUN
ejpam-7065	113	59	2	2	NUM
ejpam-7065	113	60	)	)	PUNCT
ejpam-7065	113	61	z2	z2	NOUN
ejpam-7065	113	62	+	+	CCONJ
ejpam-7065	113	63	1	1	NUM
ejpam-7065	113	64	2	2	NUM
ejpam-7065	113	65	(	(	PUNCT
ejpam-7065	113	66	ℓ3	ℓ3	PROPN
ejpam-7065	113	67	−	−	PROPN
ejpam-7065	113	68	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-7065	113	69	−	−	PROPN
ejpam-7065	113	70	ℓ31	ℓ31	VERB
ejpam-7065	113	71	4	4	NUM
ejpam-7065	113	72	)	)	PUNCT
ejpam-7065	113	73	z3	z3	PROPN
ejpam-7065	113	74	+	+	CCONJ
ejpam-7065	113	75	·	·	PUNCT
ejpam-7065	113	76	·	·	PUNCT
ejpam-7065	113	77	·	·	PUNCT
ejpam-7065	113	78	,	,	PUNCT
ejpam-7065	113	79	(	(	PUNCT
ejpam-7065	113	80	12	12	NUM
ejpam-7065	113	81	)	)	PUNCT
ejpam-7065	113	82	and	and	CCONJ
ejpam-7065	113	83	υ(ψ(z	υ(ψ(z	PROPN
ejpam-7065	113	84	)	)	PUNCT
ejpam-7065	113	85	;	;	PUNCT
ejpam-7065	114	1	q	q	X
ejpam-7065	114	2	)	)	PUNCT
ejpam-7065	114	3	=	=	SYM
ejpam-7065	114	4	1	1	NUM
ejpam-7065	114	5	+	+	CCONJ
ejpam-7065	114	6	p̂1	p̂1	ADJ
ejpam-7065	114	7	[	[	PUNCT
ejpam-7065	114	8	ℓ1z	ℓ1z	ADP
ejpam-7065	114	9	2	2	NUM
ejpam-7065	114	10	+	+	CCONJ
ejpam-7065	114	11	(	(	PUNCT
ejpam-7065	114	12	ℓ2	ℓ2	PROPN
ejpam-7065	114	13	−	−	PROPN
ejpam-7065	114	14	ℓ21	ℓ21	NOUN
ejpam-7065	114	15	2	2	NUM
ejpam-7065	114	16	)	)	PUNCT
ejpam-7065	114	17	z2	z2	NOUN
ejpam-7065	114	18	2	2	NUM
ejpam-7065	114	19	+	+	CCONJ
ejpam-7065	114	20	(	(	PUNCT
ejpam-7065	114	21	ℓ3	ℓ3	PROPN
ejpam-7065	114	22	−	−	PROPN
ejpam-7065	114	23	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-7065	114	24	−	−	PROPN
ejpam-7065	114	25	ℓ31	ℓ31	VERB
ejpam-7065	114	26	4	4	NUM
ejpam-7065	114	27	)	)	PUNCT
ejpam-7065	114	28	z3	z3	NOUN
ejpam-7065	114	29	2	2	NUM
ejpam-7065	114	30	+	+	CCONJ
ejpam-7065	114	31	·	·	PUNCT
ejpam-7065	114	32	·	·	PUNCT
ejpam-7065	114	33	·	·	PUNCT
ejpam-7065	114	34	]	]	PUNCT
ejpam-7065	115	1	+	+	CCONJ
ejpam-7065	115	2	p̂2	p̂2	ADJ
ejpam-7065	115	3	[	[	PUNCT
ejpam-7065	115	4	ℓ1z	ℓ1z	INTJ
ejpam-7065	115	5	2	2	NUM
ejpam-7065	115	6	+	+	CCONJ
ejpam-7065	115	7	(	(	PUNCT
ejpam-7065	115	8	ℓ2	ℓ2	PROPN
ejpam-7065	115	9	−	−	PROPN
ejpam-7065	115	10	ℓ21	ℓ21	NOUN
ejpam-7065	115	11	2	2	NUM
ejpam-7065	115	12	)	)	PUNCT
ejpam-7065	115	13	z2	z2	NOUN
ejpam-7065	115	14	2	2	NUM
ejpam-7065	115	15	+	+	CCONJ
ejpam-7065	115	16	(	(	PUNCT
ejpam-7065	115	17	ℓ3	ℓ3	PROPN
ejpam-7065	115	18	−	−	PROPN
ejpam-7065	115	19	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-7065	115	20	−	−	PROPN
ejpam-7065	115	21	ℓ31	ℓ31	VERB
ejpam-7065	115	22	4	4	NUM
ejpam-7065	115	23	)	)	PUNCT
ejpam-7065	115	24	z3	z3	NOUN
ejpam-7065	115	25	2	2	NUM
ejpam-7065	115	26	+	+	CCONJ
ejpam-7065	115	27	·	·	PUNCT
ejpam-7065	115	28	·	·	PUNCT
ejpam-7065	115	29	·	·	PUNCT
ejpam-7065	116	1	]	]	SYM
ejpam-7065	116	2	2	2	X
ejpam-7065	116	3	+	+	NUM
ejpam-7065	116	4	p̂3	p̂3	NOUN
ejpam-7065	116	5	[	[	PUNCT
ejpam-7065	116	6	ℓ1z	ℓ1z	PROPN
ejpam-7065	116	7	2	2	NUM
ejpam-7065	116	8	+	+	CCONJ
ejpam-7065	116	9	(	(	PUNCT
ejpam-7065	116	10	ℓ2	ℓ2	PROPN
ejpam-7065	116	11	−	−	PROPN
ejpam-7065	116	12	ℓ21	ℓ21	NOUN
ejpam-7065	116	13	2	2	NUM
ejpam-7065	116	14	)	)	PUNCT
ejpam-7065	116	15	z2	z2	NOUN
ejpam-7065	116	16	2	2	NUM
ejpam-7065	116	17	+	+	CCONJ
ejpam-7065	116	18	(	(	PUNCT
ejpam-7065	116	19	ℓ3	ℓ3	PROPN
ejpam-7065	116	20	−	−	PROPN
ejpam-7065	116	21	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-7065	116	22	−	−	PROPN
ejpam-7065	116	23	ℓ31	ℓ31	VERB
ejpam-7065	116	24	4	4	NUM
ejpam-7065	116	25	)	)	PUNCT
ejpam-7065	116	26	z3	z3	NOUN
ejpam-7065	116	27	2	2	NUM
ejpam-7065	116	28	+	+	CCONJ
ejpam-7065	116	29	·	·	PUNCT
ejpam-7065	116	30	·	·	PUNCT
ejpam-7065	116	31	·	·	PUNCT
ejpam-7065	117	1	]	]	SYM
ejpam-7065	117	2	3	3	X
ejpam-7065	117	3	+	+	CCONJ
ejpam-7065	117	4	·	·	PUNCT
ejpam-7065	117	5	·	·	PUNCT
ejpam-7065	117	6	·	·	PUNCT
ejpam-7065	117	7	=	=	SYM
ejpam-7065	117	8	1	1	NUM
ejpam-7065	117	9	+	+	NUM
ejpam-7065	117	10	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-7065	117	11	2	2	NUM
ejpam-7065	117	12	z	z	NOUN
ejpam-7065	117	13	+	+	NOUN
ejpam-7065	117	14	1	1	NUM
ejpam-7065	117	15	2	2	NUM
ejpam-7065	117	16	[	[	X
ejpam-7065	117	17	(	(	PUNCT
ejpam-7065	117	18	ℓ2	ℓ2	PROPN
ejpam-7065	117	19	−	−	PROPN
ejpam-7065	117	20	ℓ21	ℓ21	NOUN
ejpam-7065	117	21	2	2	NUM
ejpam-7065	117	22	)	)	PUNCT
ejpam-7065	117	23	p̂1	p̂1	VERB
ejpam-7065	118	1	+	+	CCONJ
ejpam-7065	118	2	ℓ21	ℓ21	NOUN
ejpam-7065	118	3	2	2	NUM
ejpam-7065	118	4	p̂2	p̂2	NOUN
ejpam-7065	118	5	]	]	PUNCT
ejpam-7065	118	6	z2	z2	PROPN
ejpam-7065	118	7	+	+	CCONJ
ejpam-7065	118	8	1	1	NUM
ejpam-7065	118	9	2	2	NUM
ejpam-7065	118	10	[	[	X
ejpam-7065	118	11	(	(	PUNCT
ejpam-7065	118	12	ℓ3	ℓ3	PROPN
ejpam-7065	118	13	−	−	PROPN
ejpam-7065	119	1	ℓ1ℓ2	ℓ1ℓ2	PROPN
ejpam-7065	119	2	+	+	CCONJ
ejpam-7065	119	3	ℓ31	ℓ31	VERB
ejpam-7065	119	4	4	4	NUM
ejpam-7065	119	5	)	)	PUNCT
ejpam-7065	119	6	p̂1	p̂1	VERB
ejpam-7065	120	1	+	+	CCONJ
ejpam-7065	120	2	ℓ1	ℓ1	NOUN
ejpam-7065	120	3	(	(	PUNCT
ejpam-7065	120	4	ℓ2	ℓ2	NOUN
ejpam-7065	120	5	−	−	PROPN
ejpam-7065	120	6	ℓ21	ℓ21	NOUN
ejpam-7065	120	7	2	2	NUM
ejpam-7065	120	8	)	)	PUNCT
ejpam-7065	120	9	p̂2	p̂2	NOUN
ejpam-7065	121	1	+	+	CCONJ
ejpam-7065	121	2	ℓ31	ℓ31	VERB
ejpam-7065	121	3	4	4	NUM
ejpam-7065	121	4	p̂3	p̂3	NOUN
ejpam-7065	121	5	]	]	PUNCT
ejpam-7065	121	6	z3	z3	PROPN
ejpam-7065	121	7	+	+	CCONJ
ejpam-7065	121	8	·	·	PUNCT
ejpam-7065	121	9	·	·	PUNCT
ejpam-7065	121	10	·	·	PUNCT
ejpam-7065	121	11	.	.	PUNCT
ejpam-7065	122	1	(	(	PUNCT
ejpam-7065	122	2	13	13	NUM
ejpam-7065	122	3	)	)	PUNCT
ejpam-7065	122	4	a.	a.	NOUN
ejpam-7065	122	5	alsoboh	alsoboh	PROPN
ejpam-7065	122	6	et	et	PROPN
ejpam-7065	122	7	al	al	PROPN
ejpam-7065	122	8	.	.	PUNCT
ejpam-7065	122	9	/	/	SYM
ejpam-7065	122	10	eur	eur	PROPN
ejpam-7065	122	11	.	.	PUNCT
ejpam-7065	123	1	j.	j.	PROPN
ejpam-7065	123	2	pure	pure	PROPN
ejpam-7065	123	3	appl	appl	PROPN
ejpam-7065	123	4	.	.	PROPN
ejpam-7065	123	5	math	math	PROPN
ejpam-7065	123	6	,	,	PUNCT
ejpam-7065	123	7	18	18	NUM
ejpam-7065	123	8	(	(	PUNCT
ejpam-7065	123	9	4	4	NUM
ejpam-7065	123	10	)	)	PUNCT
ejpam-7065	123	11	(	(	PUNCT
ejpam-7065	123	12	2025	2025	NUM
ejpam-7065	123	13	)	)	PUNCT
ejpam-7065	123	14	,	,	PUNCT
ejpam-7065	123	15	7065	7065	NUM
ejpam-7065	123	16	7	7	NUM
ejpam-7065	123	17	of	of	ADP
ejpam-7065	123	18	16	16	NUM
ejpam-7065	123	19	similarly	similarly	ADV
ejpam-7065	123	20	,	,	PUNCT
ejpam-7065	123	21	one	one	PRON
ejpam-7065	123	22	can	can	AUX
ejpam-7065	123	23	find	find	VERB
ejpam-7065	123	24	an	an	DET
ejpam-7065	123	25	analytic	analytic	ADJ
ejpam-7065	123	26	function	function	NOUN
ejpam-7065	123	27	ν	ν	NOUN
ejpam-7065	123	28	in	in	ADP
ejpam-7065	123	29	o	o	PROPN
ejpam-7065	123	30	,	,	PUNCT
ejpam-7065	123	31	with	with	ADP
ejpam-7065	123	32	|ν(ξ)|	|ν(ξ)|	PROPN
ejpam-7065	123	33	<	<	X
ejpam-7065	123	34	1	1	NUM
ejpam-7065	123	35	,	,	PUNCT
ejpam-7065	123	36	such	such	ADJ
ejpam-7065	123	37	that	that	SCONJ
ejpam-7065	123	38	p(ξ	p(ξ	NOUN
ejpam-7065	123	39	)	)	PUNCT
ejpam-7065	124	1	=	=	SYM
ejpam-7065	124	2	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-7065	124	3	)	)	PUNCT
ejpam-7065	124	4	;	;	PUNCT
ejpam-7065	124	5	q	q	X
ejpam-7065	124	6	)	)	PUNCT
ejpam-7065	124	7	.	.	PUNCT
ejpam-7065	125	1	accordingly	accordingly	ADV
ejpam-7065	125	2	,	,	PUNCT
ejpam-7065	125	3	we	we	PRON
ejpam-7065	125	4	may	may	AUX
ejpam-7065	125	5	express	express	VERB
ejpam-7065	125	6	the	the	DET
ejpam-7065	125	7	associated	associated	ADJ
ejpam-7065	125	8	function	function	NOUN
ejpam-7065	125	9	κ(ξ	κ(ξ	NOUN
ejpam-7065	125	10	)	)	PUNCT
ejpam-7065	125	11	=	=	SYM
ejpam-7065	125	12	(	(	PUNCT
ejpam-7065	125	13	1	1	NUM
ejpam-7065	125	14	+	+	CCONJ
ejpam-7065	125	15	ν(ξ))(1−	ν(ξ))(1−	ADJ
ejpam-7065	125	16	ν(ξ))−1	ν(ξ))−1	NOUN
ejpam-7065	125	17	=	=	SYM
ejpam-7065	125	18	1	1	NUM
ejpam-7065	125	19	+	+	CCONJ
ejpam-7065	125	20	τ1ξ	τ1ξ	PUNCT
ejpam-7065	125	21	+	+	CCONJ
ejpam-7065	125	22	τ2ξ	τ2ξ	VERB
ejpam-7065	125	23	2	2	NUM
ejpam-7065	125	24	+	+	NUM
ejpam-7065	125	25	·	·	PUNCT
ejpam-7065	125	26	·	·	PUNCT
ejpam-7065	125	27	·	·	PUNCT
ejpam-7065	126	1	∈	∈	PROPN
ejpam-7065	126	2	p.	p.	NOUN
ejpam-7065	126	3	(	(	PUNCT
ejpam-7065	126	4	14	14	NUM
ejpam-7065	126	5	)	)	PUNCT
ejpam-7065	126	6	as	as	ADP
ejpam-7065	126	7	a	a	DET
ejpam-7065	126	8	result	result	NOUN
ejpam-7065	126	9	,	,	PUNCT
ejpam-7065	126	10	the	the	DET
ejpam-7065	126	11	taylor	taylor	PROPN
ejpam-7065	126	12	expansion	expansion	NOUN
ejpam-7065	126	13	of	of	ADP
ejpam-7065	126	14	ν(ξ	ν(ξ	PROPN
ejpam-7065	126	15	)	)	PUNCT
ejpam-7065	126	16	takes	take	VERB
ejpam-7065	126	17	the	the	DET
ejpam-7065	126	18	form	form	NOUN
ejpam-7065	126	19	:	:	PUNCT
ejpam-7065	126	20	ν(ξ	ν(ξ	X
ejpam-7065	126	21	)	)	PUNCT
ejpam-7065	127	1	=	=	SYM
ejpam-7065	127	2	τ1ξ	τ1ξ	NUM
ejpam-7065	127	3	2	2	NUM
ejpam-7065	127	4	+	+	CCONJ
ejpam-7065	127	5	(	(	PUNCT
ejpam-7065	127	6	τ2	τ2	PROPN
ejpam-7065	127	7	−	−	PROPN
ejpam-7065	127	8	τ21	τ21	NOUN
ejpam-7065	127	9	2	2	NUM
ejpam-7065	127	10	)	)	PUNCT
ejpam-7065	127	11	ξ2	ξ2	NOUN
ejpam-7065	127	12	2	2	NUM
ejpam-7065	127	13	+	+	CCONJ
ejpam-7065	127	14	(	(	PUNCT
ejpam-7065	127	15	τ3	τ3	NOUN
ejpam-7065	127	16	−	−	NOUN
ejpam-7065	127	17	τ1τ2	τ1τ2	PUNCT
ejpam-7065	127	18	−	−	PROPN
ejpam-7065	127	19	τ31	τ31	NOUN
ejpam-7065	127	20	4	4	NUM
ejpam-7065	127	21	)	)	PUNCT
ejpam-7065	127	22	ξ3	ξ3	NOUN
ejpam-7065	127	23	2	2	NUM
ejpam-7065	127	24	+	+	CCONJ
ejpam-7065	127	25	·	·	PUNCT
ejpam-7065	127	26	·	·	PUNCT
ejpam-7065	127	27	·	·	PUNCT
ejpam-7065	127	28	,	,	PUNCT
ejpam-7065	127	29	(	(	PUNCT
ejpam-7065	127	30	15	15	NUM
ejpam-7065	127	31	)	)	PUNCT
ejpam-7065	127	32	and	and	CCONJ
ejpam-7065	127	33	,	,	PUNCT
ejpam-7065	127	34	accordingly	accordingly	ADV
ejpam-7065	127	35	,	,	PUNCT
ejpam-7065	127	36	the	the	DET
ejpam-7065	127	37	composition	composition	NOUN
ejpam-7065	127	38	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-7065	127	39	)	)	PUNCT
ejpam-7065	127	40	;	;	PUNCT
ejpam-7065	128	1	q	q	X
ejpam-7065	128	2	)	)	PUNCT
ejpam-7065	128	3	expands	expand	VERB
ejpam-7065	128	4	as	as	ADP
ejpam-7065	128	5	:	:	PUNCT
ejpam-7065	128	6	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-7065	128	7	)	)	PUNCT
ejpam-7065	128	8	;	;	PUNCT
ejpam-7065	128	9	q	q	X
ejpam-7065	128	10	)	)	PUNCT
ejpam-7065	128	11	=	=	SYM
ejpam-7065	128	12	1	1	NUM
ejpam-7065	128	13	+	+	CCONJ
ejpam-7065	128	14	p̂1τ1	p̂1τ1	NOUN
ejpam-7065	128	15	2	2	NUM
ejpam-7065	128	16	ξ	ξ	X
ejpam-7065	128	17	+	+	NOUN
ejpam-7065	128	18	1	1	NUM
ejpam-7065	128	19	2	2	NUM
ejpam-7065	128	20	[	[	X
ejpam-7065	128	21	(	(	PUNCT
ejpam-7065	128	22	τ2	τ2	PROPN
ejpam-7065	128	23	−	−	PROPN
ejpam-7065	128	24	τ21	τ21	NOUN
ejpam-7065	128	25	2	2	NUM
ejpam-7065	128	26	)	)	PUNCT
ejpam-7065	128	27	p̂1	p̂1	VERB
ejpam-7065	129	1	+	+	CCONJ
ejpam-7065	129	2	τ21	τ21	PROPN
ejpam-7065	129	3	2	2	NUM
ejpam-7065	129	4	p̂2	p̂2	NOUN
ejpam-7065	129	5	]	]	PUNCT
ejpam-7065	129	6	ξ2	ξ2	NOUN
ejpam-7065	130	1	+	+	CCONJ
ejpam-7065	130	2	1	1	NUM
ejpam-7065	130	3	2	2	NUM
ejpam-7065	130	4	[	[	X
ejpam-7065	130	5	(	(	PUNCT
ejpam-7065	130	6	τ3	τ3	NOUN
ejpam-7065	130	7	−	−	NOUN
ejpam-7065	130	8	τ1τ2	τ1τ2	X
ejpam-7065	130	9	+	+	NUM
ejpam-7065	130	10	τ31	τ31	NUM
ejpam-7065	130	11	4	4	NUM
ejpam-7065	130	12	)	)	PUNCT
ejpam-7065	130	13	p̂1	p̂1	VERB
ejpam-7065	131	1	+	+	CCONJ
ejpam-7065	131	2	τ1	τ1	NOUN
ejpam-7065	131	3	(	(	PUNCT
ejpam-7065	131	4	τ2	τ2	PROPN
ejpam-7065	131	5	−	−	PROPN
ejpam-7065	131	6	τ21	τ21	NOUN
ejpam-7065	131	7	2	2	NUM
ejpam-7065	131	8	)	)	PUNCT
ejpam-7065	131	9	p̂2	p̂2	NOUN
ejpam-7065	132	1	+	+	CCONJ
ejpam-7065	132	2	τ31	τ31	NOUN
ejpam-7065	132	3	4	4	NUM
ejpam-7065	132	4	p̂3	p̂3	NOUN
ejpam-7065	132	5	]	]	PUNCT
ejpam-7065	132	6	ξ3	ξ3	NOUN
ejpam-7065	132	7	+	+	CCONJ
ejpam-7065	132	8	·	·	PUNCT
ejpam-7065	132	9	·	·	PUNCT
ejpam-7065	132	10	·	·	PUNCT
ejpam-7065	132	11	.	.	PUNCT
ejpam-7065	133	1	(	(	PUNCT
ejpam-7065	133	2	16	16	NUM
ejpam-7065	133	3	)	)	PUNCT
ejpam-7065	133	4	having	having	AUX
ejpam-7065	133	5	established	establish	VERB
ejpam-7065	133	6	the	the	DET
ejpam-7065	133	7	necessary	necessary	ADJ
ejpam-7065	133	8	groundwork	groundwork	NOUN
ejpam-7065	133	9	and	and	CCONJ
ejpam-7065	133	10	auxiliary	auxiliary	ADJ
ejpam-7065	133	11	results	result	NOUN
ejpam-7065	133	12	,	,	PUNCT
ejpam-7065	133	13	we	we	PRON
ejpam-7065	133	14	are	be	AUX
ejpam-7065	133	15	now	now	ADV
ejpam-7065	133	16	prepared	prepared	ADJ
ejpam-7065	133	17	to	to	PART
ejpam-7065	133	18	derive	derive	VERB
ejpam-7065	133	19	coefficient	coefficient	NOUN
ejpam-7065	133	20	bounds	bound	NOUN
ejpam-7065	133	21	for	for	ADP
ejpam-7065	133	22	functions	function	NOUN
ejpam-7065	133	23	belonging	belong	VERB
ejpam-7065	133	24	to	to	ADP
ejpam-7065	133	25	the	the	DET
ejpam-7065	133	26	newly	newly	ADV
ejpam-7065	133	27	introduced	introduce	VERB
ejpam-7065	133	28	class	class	NOUN
ejpam-7065	133	29	slmς(β	slmς(β	PROPN
ejpam-7065	133	30	,	,	PUNCT
ejpam-7065	133	31	ρ	ρ	PROPN
ejpam-7065	133	32	;	;	PUNCT
ejpam-7065	133	33	q	q	NOUN
ejpam-7065	133	34	)	)	PUNCT
ejpam-7065	133	35	.	.	PUNCT
ejpam-7065	134	1	these	these	DET
ejpam-7065	134	2	estimates	estimate	NOUN
ejpam-7065	134	3	provide	provide	VERB
ejpam-7065	134	4	valuable	valuable	ADJ
ejpam-7065	134	5	insights	insight	NOUN
ejpam-7065	134	6	into	into	ADP
ejpam-7065	134	7	the	the	DET
ejpam-7065	134	8	geometric	geometric	ADJ
ejpam-7065	134	9	behavior	behavior	NOUN
ejpam-7065	134	10	of	of	ADP
ejpam-7065	134	11	such	such	ADJ
ejpam-7065	134	12	bi	bi	ADJ
ejpam-7065	134	13	-	-	ADJ
ejpam-7065	134	14	univalent	univalent	ADJ
ejpam-7065	134	15	functions	function	NOUN
ejpam-7065	134	16	and	and	CCONJ
ejpam-7065	134	17	,	,	PUNCT
ejpam-7065	134	18	moreover	moreover	ADV
ejpam-7065	134	19	,	,	PUNCT
ejpam-7065	134	20	emphasize	emphasize	VERB
ejpam-7065	134	21	the	the	DET
ejpam-7065	134	22	role	role	NOUN
ejpam-7065	134	23	of	of	ADP
ejpam-7065	134	24	the	the	DET
ejpam-7065	134	25	deformation	deformation	NOUN
ejpam-7065	134	26	parameter	parameter	NOUN
ejpam-7065	134	27	q	q	PROPN
ejpam-7065	134	28	and	and	CCONJ
ejpam-7065	134	29	the	the	DET
ejpam-7065	134	30	weighting	weighting	NOUN
ejpam-7065	134	31	parameter	parameter	NOUN
ejpam-7065	134	32	β	β	PROPN
ejpam-7065	134	33	in	in	ADP
ejpam-7065	134	34	shaping	shape	VERB
ejpam-7065	134	35	the	the	DET
ejpam-7065	134	36	coefficient	coefficient	NOUN
ejpam-7065	134	37	structure	structure	NOUN
ejpam-7065	134	38	.	.	PUNCT
ejpam-7065	135	1	the	the	DET
ejpam-7065	135	2	next	next	ADJ
ejpam-7065	135	3	theorem	theorem	NOUN
ejpam-7065	135	4	provides	provide	VERB
ejpam-7065	135	5	sharp	sharp	ADJ
ejpam-7065	135	6	bounds	bound	NOUN
ejpam-7065	135	7	for	for	ADP
ejpam-7065	135	8	the	the	DET
ejpam-7065	135	9	initial	initial	ADJ
ejpam-7065	135	10	coefficients	coefficient	NOUN
ejpam-7065	135	11	|α2|	|α2|	PROPN
ejpam-7065	135	12	and	and	CCONJ
ejpam-7065	135	13	|α3|	|α3|	NOUN
ejpam-7065	135	14	.	.	PUNCT
ejpam-7065	136	1	theorem	theorem	NOUN
ejpam-7065	136	2	1	1	NUM
ejpam-7065	136	3	.	.	PUNCT
ejpam-7065	137	1	for	for	ADP
ejpam-7065	137	2	ρ	ρ	PROPN
ejpam-7065	137	3	∈	∈	PROPN
ejpam-7065	137	4	c∗	c∗	NOUN
ejpam-7065	137	5	and	and	CCONJ
ejpam-7065	137	6	β	β	X
ejpam-7065	137	7	∈	∈	PROPN
ejpam-7065	138	1	[	[	X
ejpam-7065	138	2	0	0	NUM
ejpam-7065	138	3	,	,	PUNCT
ejpam-7065	138	4	1	1	NUM
ejpam-7065	138	5	]	]	PUNCT
ejpam-7065	138	6	,	,	PUNCT
ejpam-7065	138	7	let	let	VERB
ejpam-7065	138	8	f	f	PROPN
ejpam-7065	138	9	∈	∈	PROPN
ejpam-7065	138	10	slm∑(β	slm∑(β	VERB
ejpam-7065	138	11	,	,	PUNCT
ejpam-7065	138	12	ρ	ρ	PROPN
ejpam-7065	138	13	;	;	PUNCT
ejpam-7065	138	14	q	q	NOUN
ejpam-7065	138	15	)	)	PUNCT
ejpam-7065	138	16	.	.	PUNCT
ejpam-7065	139	1	then	then	ADV
ejpam-7065	139	2	∣∣α2	∣∣α2	VERB
ejpam-7065	139	3	∣∣	∣∣	NUM
ejpam-7065	139	4	≤	≤	NUM
ejpam-7065	139	5	|ρ||ϑq|√∣∣∣ρϑq(k	|ρ||ϑq|√∣∣∣ρϑq(k	PROPN
ejpam-7065	139	6	−x	−x	NOUN
ejpam-7065	139	7	)	)	PUNCT
ejpam-7065	140	1	+	+	CCONJ
ejpam-7065	140	2	(	(	PUNCT
ejpam-7065	140	3	1−	1−	NUM
ejpam-7065	140	4	(	(	PUNCT
ejpam-7065	140	5	2q	2q	NOUN
ejpam-7065	140	6	+	+	X
ejpam-7065	140	7	1)ϑq	1)ϑq	NUM
ejpam-7065	140	8	)	)	PUNCT
ejpam-7065	140	9	c	c	NOUN
ejpam-7065	140	10	∣∣∣	∣∣∣	NOUN
ejpam-7065	140	11	.	.	PUNCT
ejpam-7065	141	1	(	(	PUNCT
ejpam-7065	141	2	17	17	NUM
ejpam-7065	141	3	)	)	PUNCT
ejpam-7065	141	4	∣∣α3	∣∣α3	NOUN
ejpam-7065	141	5	∣∣	∣∣	NUM
ejpam-7065	141	6	≤	≤	X
ejpam-7065	141	7	|ρ||ϑq|	|ρ||ϑq|	VERB
ejpam-7065	141	8	{	{	PUNCT
ejpam-7065	141	9	∣∣(k	∣∣(k	PUNCT
ejpam-7065	141	10	−x	−x	NOUN
ejpam-7065	141	11	)	)	PUNCT
ejpam-7065	141	12	ρϑq	ρϑq	VERB
ejpam-7065	141	13	+	+	CCONJ
ejpam-7065	141	14	(	(	PUNCT
ejpam-7065	141	15	1−	1−	NUM
ejpam-7065	141	16	(	(	PUNCT
ejpam-7065	141	17	2q	2q	NOUN
ejpam-7065	141	18	+	+	X
ejpam-7065	141	19	1)ϑq	1)ϑq	NUM
ejpam-7065	141	20	)	)	PUNCT
ejpam-7065	141	21	c	c	PROPN
ejpam-7065	141	22	∣∣+	∣∣+	PROPN
ejpam-7065	142	1	|ρ||ϑq|k	|ρ||ϑq|k	NUM
ejpam-7065	142	2	}	}	PUNCT
ejpam-7065	142	3	k	k	X
ejpam-7065	142	4	∣∣(k	∣∣(k	X
ejpam-7065	142	5	−x	−x	NOUN
ejpam-7065	142	6	)	)	PUNCT
ejpam-7065	142	7	ρϑq	ρϑq	VERB
ejpam-7065	142	8	+	+	CCONJ
ejpam-7065	142	9	(	(	PUNCT
ejpam-7065	142	10	1−	1−	NUM
ejpam-7065	142	11	(	(	PUNCT
ejpam-7065	142	12	2q	2q	NOUN
ejpam-7065	142	13	+	+	X
ejpam-7065	142	14	1)ϑq	1)ϑq	NUM
ejpam-7065	142	15	)	)	PUNCT
ejpam-7065	142	16	c	c	NOUN
ejpam-7065	142	17	∣∣	∣∣	NUM
ejpam-7065	142	18	,	,	PUNCT
ejpam-7065	142	19	(	(	PUNCT
ejpam-7065	142	20	18	18	NUM
ejpam-7065	142	21	)	)	PUNCT
ejpam-7065	143	1	where	where	SCONJ
ejpam-7065	143	2	k	k	PROPN
ejpam-7065	143	3	=	=	X
ejpam-7065	143	4	qd2cq	qd2cq	PROPN
ejpam-7065	143	5	(	(	PUNCT
ejpam-7065	143	6	1	1	NUM
ejpam-7065	143	7	+	+	NUM
ejpam-7065	143	8	qd2cqβ	qd2cqβ	NOUN
ejpam-7065	143	9	)	)	PUNCT
ejpam-7065	143	10	,	,	PUNCT
ejpam-7065	143	11	(	(	PUNCT
ejpam-7065	143	12	19	19	NUM
ejpam-7065	143	13	)	)	PUNCT
ejpam-7065	143	14	x	x	X
ejpam-7065	143	15	=	=	PUNCT
ejpam-7065	143	16	q	q	X
ejpam-7065	144	1	[	[	PUNCT
ejpam-7065	144	2	1	1	NUM
ejpam-7065	144	3	+	+	NUM
ejpam-7065	144	4	β	β	X
ejpam-7065	144	5	(	(	PUNCT
ejpam-7065	144	6	d2c2	d2c2	ADP
ejpam-7065	144	7	q	q	NOUN
ejpam-7065	144	8	−	−	PROPN
ejpam-7065	144	9	1	1	NUM
ejpam-7065	144	10	)	)	PUNCT
ejpam-7065	144	11	]	]	PUNCT
ejpam-7065	144	12	,	,	PUNCT
ejpam-7065	144	13	(	(	PUNCT
ejpam-7065	144	14	20	20	NUM
ejpam-7065	144	15	)	)	PUNCT
ejpam-7065	144	16	c	c	NOUN
ejpam-7065	144	17	=	=	PUNCT
ejpam-7065	144	18	q2(1	q2(1	NOUN
ejpam-7065	144	19	+	+	CCONJ
ejpam-7065	144	20	qβ)2	qβ)2	PROPN
ejpam-7065	144	21	.	.	PROPN
ejpam-7065	145	1	(	(	PUNCT
ejpam-7065	145	2	21	21	NUM
ejpam-7065	145	3	)	)	PUNCT
ejpam-7065	145	4	proof	proof	NOUN
ejpam-7065	145	5	.	.	PUNCT
ejpam-7065	146	1	let	let	VERB
ejpam-7065	146	2	f	f	PROPN
ejpam-7065	146	3	∈	∈	PROPN
ejpam-7065	146	4	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-7065	146	5	)	)	PUNCT
ejpam-7065	146	6	)	)	PUNCT
ejpam-7065	146	7	and	and	CCONJ
ejpam-7065	146	8	ξ	ξ	X
ejpam-7065	146	9	=	=	SYM
ejpam-7065	146	10	f−1	f−1	PROPN
ejpam-7065	146	11	.	.	PUNCT
ejpam-7065	147	1	taking	take	VERB
ejpam-7065	147	2	into	into	ADP
ejpam-7065	147	3	account	account	NOUN
ejpam-7065	147	4	(	(	PUNCT
ejpam-7065	147	5	9	9	NUM
ejpam-7065	147	6	)	)	PUNCT
ejpam-7065	147	7	and	and	CCONJ
ejpam-7065	147	8	(	(	PUNCT
ejpam-7065	147	9	10	10	NUM
ejpam-7065	147	10	)	)	PUNCT
ejpam-7065	147	11	,	,	PUNCT
ejpam-7065	147	12	we	we	PRON
ejpam-7065	147	13	have	have	VERB
ejpam-7065	147	14	1	1	NUM
ejpam-7065	147	15	+	+	SYM
ejpam-7065	147	16	1	1	NUM
ejpam-7065	147	17	ρ	ρ	NOUN
ejpam-7065	147	18	(	(	PUNCT
ejpam-7065	147	19	(	(	PUNCT
ejpam-7065	147	20	1−	1−	NUM
ejpam-7065	147	21	β	β	NOUN
ejpam-7065	147	22	)	)	PUNCT
ejpam-7065	147	23	zðq〈f(z	zðq〈f(z	PROPN
ejpam-7065	147	24	)	)	PUNCT
ejpam-7065	147	25	〉	〉	PROPN
ejpam-7065	147	26	f(z	f(z	PROPN
ejpam-7065	147	27	)	)	PUNCT
ejpam-7065	148	1	+	+	CCONJ
ejpam-7065	148	2	β	β	X
ejpam-7065	148	3	ðq	ðq	X
ejpam-7065	148	4	(	(	PUNCT
ejpam-7065	148	5	z	z	NOUN
ejpam-7065	148	6	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	148	7	)	)	PUNCT
ejpam-7065	148	8	〉	〉	PROPN
ejpam-7065	148	9	)	)	PUNCT
ejpam-7065	148	10	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	148	11	)	)	PUNCT
ejpam-7065	148	12	〉	〉	NOUN
ejpam-7065	148	13	−	−	NOUN
ejpam-7065	148	14	1	1	NUM
ejpam-7065	148	15	)	)	PUNCT
ejpam-7065	148	16	=	=	SYM
ejpam-7065	148	17	υ(ψ(z	υ(ψ(z	PROPN
ejpam-7065	148	18	)	)	PUNCT
ejpam-7065	148	19	;	;	PUNCT
ejpam-7065	148	20	q	q	X
ejpam-7065	148	21	)	)	PUNCT
ejpam-7065	148	22	,	,	PUNCT
ejpam-7065	148	23	(	(	PUNCT
ejpam-7065	148	24	z	z	NOUN
ejpam-7065	148	25	∈	∈	PROPN
ejpam-7065	148	26	o	o	NOUN
ejpam-7065	148	27	)	)	PUNCT
ejpam-7065	148	28	,	,	PUNCT
ejpam-7065	148	29	(	(	PUNCT
ejpam-7065	148	30	22	22	NUM
ejpam-7065	148	31	)	)	PUNCT
ejpam-7065	148	32	and	and	CCONJ
ejpam-7065	148	33	1	1	NUM
ejpam-7065	148	34	+	+	SYM
ejpam-7065	148	35	1	1	NUM
ejpam-7065	148	36	ρ	ρ	NOUN
ejpam-7065	148	37	(	(	PUNCT
ejpam-7065	148	38	(	(	PUNCT
ejpam-7065	148	39	1−	1−	NUM
ejpam-7065	148	40	β	β	NOUN
ejpam-7065	148	41	)	)	PUNCT
ejpam-7065	148	42	ξðq〈χ(ξ	ξðq〈χ(ξ	PROPN
ejpam-7065	148	43	)	)	PUNCT
ejpam-7065	148	44	〉	〉	PROPN
ejpam-7065	148	45	χ(ξ	χ(ξ	NOUN
ejpam-7065	148	46	)	)	PUNCT
ejpam-7065	148	47	+	+	CCONJ
ejpam-7065	148	48	β	β	X
ejpam-7065	148	49	ðq	ðq	INTJ
ejpam-7065	148	50	(	(	PUNCT
ejpam-7065	148	51	ξðq〈χ(ξ	ξðq〈χ(ξ	PROPN
ejpam-7065	148	52	)	)	PUNCT
ejpam-7065	148	53	〉	〉	NOUN
ejpam-7065	148	54	)	)	PUNCT
ejpam-7065	148	55	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	148	56	)	)	PUNCT
ejpam-7065	148	57	〉	〉	NOUN
ejpam-7065	148	58	−	−	NOUN
ejpam-7065	148	59	1	1	NUM
ejpam-7065	148	60	)	)	PUNCT
ejpam-7065	148	61	=	=	SYM
ejpam-7065	148	62	υ(ν(ξ	υ(ν(ξ	PROPN
ejpam-7065	148	63	)	)	PUNCT
ejpam-7065	148	64	;	;	PUNCT
ejpam-7065	148	65	q	q	X
ejpam-7065	148	66	)	)	PUNCT
ejpam-7065	148	67	,	,	PUNCT
ejpam-7065	148	68	(	(	PUNCT
ejpam-7065	148	69	ξ	ξ	X
ejpam-7065	148	70	∈	∈	PROPN
ejpam-7065	148	71	o	o	NOUN
ejpam-7065	148	72	)	)	PUNCT
ejpam-7065	148	73	.	.	PUNCT
ejpam-7065	149	1	(	(	PUNCT
ejpam-7065	149	2	23	23	NUM
ejpam-7065	149	3	)	)	PUNCT
ejpam-7065	149	4	a.	a.	NOUN
ejpam-7065	149	5	alsoboh	alsoboh	PROPN
ejpam-7065	149	6	et	et	PROPN
ejpam-7065	149	7	al	al	PROPN
ejpam-7065	149	8	.	.	PUNCT
ejpam-7065	149	9	/	/	SYM
ejpam-7065	149	10	eur	eur	PROPN
ejpam-7065	149	11	.	.	PUNCT
ejpam-7065	150	1	j.	j.	PROPN
ejpam-7065	150	2	pure	pure	PROPN
ejpam-7065	150	3	appl	appl	PROPN
ejpam-7065	150	4	.	.	PROPN
ejpam-7065	150	5	math	math	PROPN
ejpam-7065	150	6	,	,	PUNCT
ejpam-7065	150	7	18	18	NUM
ejpam-7065	150	8	(	(	PUNCT
ejpam-7065	150	9	4	4	NUM
ejpam-7065	150	10	)	)	PUNCT
ejpam-7065	150	11	(	(	PUNCT
ejpam-7065	150	12	2025	2025	NUM
ejpam-7065	150	13	)	)	PUNCT
ejpam-7065	150	14	,	,	PUNCT
ejpam-7065	150	15	7065	7065	NUM
ejpam-7065	150	16	8	8	NUM
ejpam-7065	150	17	of	of	ADP
ejpam-7065	150	18	16	16	NUM
ejpam-7065	150	19	since	since	SCONJ
ejpam-7065	150	20	1	1	NUM
ejpam-7065	150	21	ρ	ρ	NOUN
ejpam-7065	150	22	(	(	PUNCT
ejpam-7065	150	23	(	(	PUNCT
ejpam-7065	150	24	1−	1−	NUM
ejpam-7065	150	25	β	β	NOUN
ejpam-7065	150	26	)	)	PUNCT
ejpam-7065	150	27	zðq〈f(z	zðq〈f(z	PROPN
ejpam-7065	150	28	)	)	PUNCT
ejpam-7065	150	29	〉	〉	PROPN
ejpam-7065	150	30	f(z	f(z	PROPN
ejpam-7065	150	31	)	)	PUNCT
ejpam-7065	151	1	+	+	CCONJ
ejpam-7065	152	1	β	β	X
ejpam-7065	152	2	ðq	ðq	X
ejpam-7065	152	3	(	(	PUNCT
ejpam-7065	152	4	z	z	NOUN
ejpam-7065	152	5	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	152	6	)	)	PUNCT
ejpam-7065	152	7	〉	〉	PROPN
ejpam-7065	152	8	)	)	PUNCT
ejpam-7065	152	9	ðq〈f(z	ðq〈f(z	PROPN
ejpam-7065	152	10	)	)	PUNCT
ejpam-7065	152	11	〉	〉	NOUN
ejpam-7065	152	12	−	−	NOUN
ejpam-7065	152	13	1	1	NUM
ejpam-7065	152	14	)	)	PUNCT
ejpam-7065	152	15	=	=	SYM
ejpam-7065	152	16	1	1	NUM
ejpam-7065	152	17	+	+	CCONJ
ejpam-7065	152	18	q(1	q(1	PROPN
ejpam-7065	152	19	+	+	CCONJ
ejpam-7065	152	20	qβ	qβ	PROPN
ejpam-7065	152	21	)	)	PUNCT
ejpam-7065	152	22	ρ	ρ	PROPN
ejpam-7065	152	23	α2z	α2z	PROPN
ejpam-7065	153	1	+	+	NUM
ejpam-7065	153	2	qd2cq(1	qd2cq(1	NOUN
ejpam-7065	153	3	+	+	X
ejpam-7065	153	4	qd2cqβ)α3	qd2cqβ)α3	PROPN
ejpam-7065	154	1	−	−	NOUN
ejpam-7065	154	2	q	q	NOUN
ejpam-7065	155	1	(	(	PUNCT
ejpam-7065	155	2	1	1	NUM
ejpam-7065	155	3	+	+	NUM
ejpam-7065	155	4	β(d2c2	β(d2c2	PROPN
ejpam-7065	155	5	q	q	NOUN
ejpam-7065	155	6	−	−	PROPN
ejpam-7065	155	7	1	1	NUM
ejpam-7065	155	8	)	)	PUNCT
ejpam-7065	155	9	)	)	PUNCT
ejpam-7065	156	1	α2	α2	ADV
ejpam-7065	156	2	2	2	NUM
ejpam-7065	156	3	ρ	ρ	NOUN
ejpam-7065	156	4			PROPN
ejpam-7065	156	5	z2	z2	PROPN
ejpam-7065	156	6	+	+	PROPN
ejpam-7065	156	7	o	o	X
ejpam-7065	156	8	(	(	PUNCT
ejpam-7065	156	9	z3	z3	PROPN
ejpam-7065	156	10	)	)	PUNCT
ejpam-7065	156	11	=	=	SYM
ejpam-7065	157	1	1	1	NUM
ejpam-7065	157	2	+	+	CCONJ
ejpam-7065	157	3	q(1	q(1	PROPN
ejpam-7065	157	4	+	+	CCONJ
ejpam-7065	157	5	qβ	qβ	PROPN
ejpam-7065	157	6	)	)	PUNCT
ejpam-7065	157	7	ρ	ρ	PROPN
ejpam-7065	157	8	α2z	α2z	PROPN
ejpam-7065	158	1	+	+	CCONJ
ejpam-7065	158	2	(	(	PUNCT
ejpam-7065	158	3	kα3	kα3	PROPN
ejpam-7065	158	4	−xα2	−xα2	ADP
ejpam-7065	158	5	2	2	NUM
ejpam-7065	158	6	ρ	ρ	NOUN
ejpam-7065	158	7	)	)	PUNCT
ejpam-7065	158	8	z2	z2	PROPN
ejpam-7065	158	9	+	+	PROPN
ejpam-7065	158	10	o	o	X
ejpam-7065	158	11	(	(	PUNCT
ejpam-7065	158	12	z3	z3	PROPN
ejpam-7065	158	13	)	)	PUNCT
ejpam-7065	158	14	,	,	PUNCT
ejpam-7065	158	15	(	(	PUNCT
ejpam-7065	158	16	24	24	NUM
ejpam-7065	158	17	)	)	PUNCT
ejpam-7065	158	18	and	and	CCONJ
ejpam-7065	158	19	1	1	NUM
ejpam-7065	158	20	ρ	ρ	NOUN
ejpam-7065	158	21	(	(	PUNCT
ejpam-7065	158	22	(	(	PUNCT
ejpam-7065	158	23	1−	1−	NUM
ejpam-7065	158	24	β	β	NOUN
ejpam-7065	158	25	)	)	PUNCT
ejpam-7065	158	26	ξðq〈χ(ξ	ξðq〈χ(ξ	PROPN
ejpam-7065	158	27	)	)	PUNCT
ejpam-7065	158	28	〉	〉	PROPN
ejpam-7065	158	29	χ(ξ	χ(ξ	NOUN
ejpam-7065	158	30	)	)	PUNCT
ejpam-7065	158	31	+	+	CCONJ
ejpam-7065	158	32	β	β	X
ejpam-7065	158	33	ðq	ðq	INTJ
ejpam-7065	158	34	(	(	PUNCT
ejpam-7065	158	35	ξðq〈χ(ξ	ξðq〈χ(ξ	PROPN
ejpam-7065	158	36	)	)	PUNCT
ejpam-7065	158	37	〉	〉	NOUN
ejpam-7065	158	38	)	)	PUNCT
ejpam-7065	158	39	ðq〈χ(ξ	ðq〈χ(ξ	X
ejpam-7065	158	40	)	)	PUNCT
ejpam-7065	158	41	〉	〉	NOUN
ejpam-7065	158	42	−	−	NOUN
ejpam-7065	158	43	1	1	NUM
ejpam-7065	158	44	)	)	PUNCT
ejpam-7065	158	45	=	=	SYM
ejpam-7065	159	1	1−	1−	NUM
ejpam-7065	159	2	q(1	q(1	PROPN
ejpam-7065	159	3	+	+	CCONJ
ejpam-7065	159	4	qβ	qβ	PROPN
ejpam-7065	159	5	)	)	PUNCT
ejpam-7065	159	6	ρ	ρ	PROPN
ejpam-7065	159	7	α2ξ	α2ξ	NUM
ejpam-7065	159	8	+	+	CCONJ
ejpam-7065	159	9	2qd2cq(1	2qd2cq(1	NOUN
ejpam-7065	159	10	+	+	CCONJ
ejpam-7065	159	11	qd2cqβ)−	qd2cqβ)−	ADJ
ejpam-7065	159	12	q	q	NOUN
ejpam-7065	160	1	(	(	PUNCT
ejpam-7065	160	2	1	1	NUM
ejpam-7065	160	3	+	+	NUM
ejpam-7065	160	4	β(d2c2	β(d2c2	PROPN
ejpam-7065	160	5	q	q	NOUN
ejpam-7065	160	6	−	−	PROPN
ejpam-7065	160	7	1	1	NUM
ejpam-7065	160	8	)	)	PUNCT
ejpam-7065	160	9	)	)	PUNCT
ejpam-7065	161	1	ρ	ρ	PROPN
ejpam-7065	161	2	α2	α2	ADJ
ejpam-7065	161	3	2	2	NUM
ejpam-7065	161	4	−	−	NOUN
ejpam-7065	161	5	qd2cq(1	qd2cq(1	NOUN
ejpam-7065	161	6	+	+	SYM
ejpam-7065	161	7	qd2cqβ	qd2cqβ	NOUN
ejpam-7065	161	8	)	)	PUNCT
ejpam-7065	161	9	ρ	ρ	PROPN
ejpam-7065	161	10	α3	α3	NOUN
ejpam-7065	161	11			PROPN
ejpam-7065	161	12	ξ2	ξ2	VERB
ejpam-7065	162	1	+	+	NOUN
ejpam-7065	162	2	o	o	PROPN
ejpam-7065	162	3	(	(	PUNCT
ejpam-7065	162	4	ξ3	ξ3	PROPN
ejpam-7065	162	5	)	)	PUNCT
ejpam-7065	162	6	=	=	SYM
ejpam-7065	163	1	1−	1−	NUM
ejpam-7065	163	2	q(1	q(1	PROPN
ejpam-7065	163	3	+	+	CCONJ
ejpam-7065	163	4	qβ	qβ	PROPN
ejpam-7065	163	5	)	)	PUNCT
ejpam-7065	163	6	ρ	ρ	PROPN
ejpam-7065	163	7	α2	α2	PROPN
ejpam-7065	164	1	ξ	ξ	PROPN
ejpam-7065	165	1	+	+	CCONJ
ejpam-7065	165	2	(	(	PUNCT
ejpam-7065	165	3	2k	2k	NUM
ejpam-7065	165	4	−x	−x	NOUN
ejpam-7065	165	5	ρ	ρ	PROPN
ejpam-7065	165	6	α2	α2	ADJ
ejpam-7065	165	7	2	2	NUM
ejpam-7065	165	8	−	−	PROPN
ejpam-7065	165	9	k	k	PROPN
ejpam-7065	165	10	ρ	ρ	PROPN
ejpam-7065	165	11	α3	α3	PROPN
ejpam-7065	165	12	)	)	PUNCT
ejpam-7065	165	13	ξ2	ξ2	PROPN
ejpam-7065	166	1	+	+	PROPN
ejpam-7065	166	2	o	o	PROPN
ejpam-7065	166	3	(	(	PUNCT
ejpam-7065	166	4	ξ3	ξ3	PROPN
ejpam-7065	166	5	)	)	PUNCT
ejpam-7065	166	6	.	.	PUNCT
ejpam-7065	167	1	(	(	PUNCT
ejpam-7065	167	2	25	25	NUM
ejpam-7065	167	3	)	)	PUNCT
ejpam-7065	167	4	compared	compare	VERB
ejpam-7065	167	5	with	with	ADP
ejpam-7065	167	6	(	(	PUNCT
ejpam-7065	167	7	22	22	NUM
ejpam-7065	167	8	)	)	PUNCT
ejpam-7065	167	9	and	and	CCONJ
ejpam-7065	167	10	(	(	PUNCT
ejpam-7065	167	11	24	24	NUM
ejpam-7065	167	12	)	)	PUNCT
ejpam-7065	167	13	,	,	PUNCT
ejpam-7065	167	14	along	along	ADP
ejpam-7065	167	15	(	(	PUNCT
ejpam-7065	167	16	13	13	NUM
ejpam-7065	167	17	)	)	PUNCT
ejpam-7065	167	18	,	,	PUNCT
ejpam-7065	167	19	yields	yield	VERB
ejpam-7065	167	20	q(1	q(1	PROPN
ejpam-7065	168	1	+	+	CCONJ
ejpam-7065	168	2	qβ	qβ	PROPN
ejpam-7065	168	3	)	)	PUNCT
ejpam-7065	168	4	ρ	ρ	PROPN
ejpam-7065	168	5	α2z	α2z	PROPN
ejpam-7065	169	1	+	+	CCONJ
ejpam-7065	169	2	(	(	PUNCT
ejpam-7065	169	3	kα3	kα3	PROPN
ejpam-7065	169	4	−xα2	−xα2	ADP
ejpam-7065	169	5	2	2	NUM
ejpam-7065	169	6	ρ	ρ	NOUN
ejpam-7065	169	7	)	)	PUNCT
ejpam-7065	169	8	z2	z2	PROPN
ejpam-7065	170	1	+	+	PROPN
ejpam-7065	170	2	o	o	X
ejpam-7065	170	3	(	(	PUNCT
ejpam-7065	170	4	z3	z3	PROPN
ejpam-7065	170	5	)	)	PUNCT
ejpam-7065	171	1	=	=	SYM
ejpam-7065	171	2	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-7065	172	1	2	2	NUM
ejpam-7065	172	2	z	z	NOUN
ejpam-7065	172	3	+	+	NOUN
ejpam-7065	172	4	1	1	NUM
ejpam-7065	172	5	2	2	NUM
ejpam-7065	172	6	[	[	X
ejpam-7065	172	7	(	(	PUNCT
ejpam-7065	172	8	ℓ2	ℓ2	PROPN
ejpam-7065	172	9	−	−	PROPN
ejpam-7065	172	10	ℓ21	ℓ21	NOUN
ejpam-7065	172	11	2	2	NUM
ejpam-7065	172	12	)	)	PUNCT
ejpam-7065	172	13	p̂1	p̂1	VERB
ejpam-7065	173	1	+	+	CCONJ
ejpam-7065	173	2	ℓ21	ℓ21	NOUN
ejpam-7065	173	3	2	2	NUM
ejpam-7065	173	4	p̂2	p̂2	NOUN
ejpam-7065	173	5	]	]	PUNCT
ejpam-7065	173	6	z2	z2	PROPN
ejpam-7065	173	7	+	+	PROPN
ejpam-7065	173	8	o	o	X
ejpam-7065	173	9	(	(	PUNCT
ejpam-7065	173	10	z3	z3	PROPN
ejpam-7065	173	11	)	)	PUNCT
ejpam-7065	173	12	.	.	PUNCT
ejpam-7065	174	1	(	(	PUNCT
ejpam-7065	174	2	26	26	NUM
ejpam-7065	174	3	)	)	PUNCT
ejpam-7065	174	4	besied	besie	VERB
ejpam-7065	174	5	that	that	SCONJ
ejpam-7065	174	6	by	by	ADP
ejpam-7065	174	7	comparing	compare	VERB
ejpam-7065	174	8	(	(	PUNCT
ejpam-7065	174	9	23	23	NUM
ejpam-7065	174	10	)	)	PUNCT
ejpam-7065	174	11	and	and	CCONJ
ejpam-7065	174	12	(	(	PUNCT
ejpam-7065	174	13	25	25	NUM
ejpam-7065	174	14	)	)	PUNCT
ejpam-7065	174	15	,	,	PUNCT
ejpam-7065	174	16	along	along	ADP
ejpam-7065	174	17	(	(	PUNCT
ejpam-7065	174	18	16	16	NUM
ejpam-7065	174	19	)	)	PUNCT
ejpam-7065	174	20	,	,	PUNCT
ejpam-7065	174	21	yields	yield	VERB
ejpam-7065	174	22	−q(1	−q(1	PROPN
ejpam-7065	174	23	+	+	CCONJ
ejpam-7065	174	24	qβ	qβ	X
ejpam-7065	174	25	)	)	PUNCT
ejpam-7065	174	26	ρ	ρ	PROPN
ejpam-7065	174	27	α2	α2	PROPN
ejpam-7065	174	28	ξ+	ξ+	PRON
ejpam-7065	174	29	(	(	PUNCT
ejpam-7065	174	30	2k	2k	NUM
ejpam-7065	174	31	−x	−x	NOUN
ejpam-7065	174	32	ρ	ρ	PROPN
ejpam-7065	174	33	α2	α2	ADJ
ejpam-7065	174	34	2	2	NUM
ejpam-7065	174	35	−	−	PROPN
ejpam-7065	174	36	k	k	PROPN
ejpam-7065	174	37	ρ	ρ	PROPN
ejpam-7065	174	38	α3	α3	PROPN
ejpam-7065	174	39	)	)	PUNCT
ejpam-7065	175	1	ξ2	ξ2	PROPN
ejpam-7065	176	1	+	+	PROPN
ejpam-7065	176	2	o	o	PROPN
ejpam-7065	176	3	(	(	PUNCT
ejpam-7065	176	4	ξ3	ξ3	PROPN
ejpam-7065	176	5	)	)	PUNCT
ejpam-7065	177	1	+	+	PUNCT
ejpam-7065	177	2	·	·	PUNCT
ejpam-7065	177	3	·	·	PUNCT
ejpam-7065	177	4	·	·	PUNCT
ejpam-7065	178	1	=	=	SYM
ejpam-7065	178	2	p̂1τ1	p̂1τ1	NOUN
ejpam-7065	178	3	2	2	NUM
ejpam-7065	178	4	ξ	ξ	X
ejpam-7065	178	5	+	+	NOUN
ejpam-7065	178	6	1	1	NUM
ejpam-7065	178	7	2	2	NUM
ejpam-7065	178	8	[	[	X
ejpam-7065	178	9	(	(	PUNCT
ejpam-7065	178	10	τ2	τ2	PROPN
ejpam-7065	178	11	−	−	PROPN
ejpam-7065	178	12	τ21	τ21	NOUN
ejpam-7065	178	13	2	2	NUM
ejpam-7065	178	14	)	)	PUNCT
ejpam-7065	178	15	p̂1	p̂1	VERB
ejpam-7065	178	16	+	+	CCONJ
ejpam-7065	178	17	τ21	τ21	PROPN
ejpam-7065	178	18	2	2	NUM
ejpam-7065	178	19	p̂2	p̂2	NOUN
ejpam-7065	178	20	]	]	PUNCT
ejpam-7065	178	21	ξ2	ξ2	X
ejpam-7065	178	22	+	+	CCONJ
ejpam-7065	178	23	·	·	PUNCT
ejpam-7065	178	24	·	·	PUNCT
ejpam-7065	178	25	·	·	PUNCT
ejpam-7065	178	26	.	.	PUNCT
ejpam-7065	179	1	(	(	PUNCT
ejpam-7065	179	2	27	27	NUM
ejpam-7065	179	3	)	)	PUNCT
ejpam-7065	179	4	equating	equate	VERB
ejpam-7065	179	5	the	the	DET
ejpam-7065	179	6	pertinent	pertinent	ADJ
ejpam-7065	179	7	coefficient	coefficient	NOUN
ejpam-7065	179	8	in	in	ADP
ejpam-7065	179	9	(	(	PUNCT
ejpam-7065	179	10	26	26	NUM
ejpam-7065	179	11	)	)	PUNCT
ejpam-7065	179	12	and	and	CCONJ
ejpam-7065	179	13	(	(	PUNCT
ejpam-7065	179	14	27	27	NUM
ejpam-7065	179	15	)	)	PUNCT
ejpam-7065	179	16	,	,	PUNCT
ejpam-7065	179	17	using	use	VERB
ejpam-7065	179	18	(	(	PUNCT
ejpam-7065	179	19	19	19	NUM
ejpam-7065	179	20	)	)	PUNCT
ejpam-7065	179	21	and	and	CCONJ
ejpam-7065	179	22	(	(	PUNCT
ejpam-7065	179	23	20	20	NUM
ejpam-7065	179	24	)	)	PUNCT
ejpam-7065	179	25	,	,	PUNCT
ejpam-7065	179	26	we	we	PRON
ejpam-7065	179	27	obtain	obtain	VERB
ejpam-7065	179	28	q(1	q(1	PROPN
ejpam-7065	179	29	+	+	CCONJ
ejpam-7065	179	30	qβ	qβ	PROPN
ejpam-7065	179	31	)	)	PUNCT
ejpam-7065	179	32	ρ	ρ	PROPN
ejpam-7065	179	33	α2	α2	NOUN
ejpam-7065	179	34	=	=	X
ejpam-7065	179	35	p̂1ℓ1	p̂1ℓ1	NOUN
ejpam-7065	179	36	2	2	NUM
ejpam-7065	179	37	(	(	PUNCT
ejpam-7065	179	38	28	28	NUM
ejpam-7065	179	39	)	)	PUNCT
ejpam-7065	179	40	−q(1	−q(1	NOUN
ejpam-7065	179	41	+	+	CCONJ
ejpam-7065	179	42	qβ	qβ	PROPN
ejpam-7065	179	43	)	)	PUNCT
ejpam-7065	179	44	ρ	ρ	PROPN
ejpam-7065	179	45	α2	α2	NOUN
ejpam-7065	179	46	=	=	SYM
ejpam-7065	179	47	p̂1τ1	p̂1τ1	NOUN
ejpam-7065	179	48	2	2	NUM
ejpam-7065	179	49	(	(	PUNCT
ejpam-7065	179	50	29	29	NUM
ejpam-7065	179	51	)	)	PUNCT
ejpam-7065	179	52	kα3	kα3	PROPN
ejpam-7065	180	1	−xα2	−xα2	ADP
ejpam-7065	180	2	2	2	NUM
ejpam-7065	180	3	ρ	ρ	NOUN
ejpam-7065	180	4	=	=	SYM
ejpam-7065	180	5	1	1	NUM
ejpam-7065	180	6	2	2	NUM
ejpam-7065	180	7	[	[	X
ejpam-7065	180	8	(	(	PUNCT
ejpam-7065	180	9	ℓ2	ℓ2	PROPN
ejpam-7065	180	10	−	−	PROPN
ejpam-7065	180	11	ℓ21	ℓ21	NOUN
ejpam-7065	180	12	2	2	NUM
ejpam-7065	180	13	)	)	PUNCT
ejpam-7065	180	14	p̂1	p̂1	VERB
ejpam-7065	181	1	+	+	CCONJ
ejpam-7065	181	2	ℓ21	ℓ21	NOUN
ejpam-7065	181	3	2	2	NUM
ejpam-7065	181	4	p̂2	p̂2	NOUN
ejpam-7065	181	5	]	]	X
ejpam-7065	181	6	(	(	PUNCT
ejpam-7065	181	7	30	30	NUM
ejpam-7065	181	8	)	)	PUNCT
ejpam-7065	181	9	2k	2k	NOUN
ejpam-7065	181	10	−x	−x	NOUN
ejpam-7065	181	11	ρ	ρ	PROPN
ejpam-7065	181	12	α2	α2	PROPN
ejpam-7065	181	13	2	2	NUM
ejpam-7065	181	14	−	−	PROPN
ejpam-7065	181	15	k	k	NOUN
ejpam-7065	181	16	ρ	ρ	NUM
ejpam-7065	181	17	α3	α3	NOUN
ejpam-7065	181	18	=	=	NOUN
ejpam-7065	181	19	1	1	NUM
ejpam-7065	181	20	2	2	NUM
ejpam-7065	181	21	[	[	X
ejpam-7065	181	22	(	(	PUNCT
ejpam-7065	181	23	τ2	τ2	PROPN
ejpam-7065	181	24	−	−	PROPN
ejpam-7065	181	25	τ21	τ21	NOUN
ejpam-7065	181	26	2	2	NUM
ejpam-7065	181	27	)	)	PUNCT
ejpam-7065	181	28	p̂1	p̂1	VERB
ejpam-7065	182	1	+	+	CCONJ
ejpam-7065	182	2	τ21	τ21	PROPN
ejpam-7065	182	3	2	2	NUM
ejpam-7065	182	4	p̂2	p̂2	NOUN
ejpam-7065	182	5	]	]	X
ejpam-7065	182	6	(	(	PUNCT
ejpam-7065	182	7	31	31	NUM
ejpam-7065	182	8	)	)	PUNCT
ejpam-7065	182	9	a.	a.	NOUN
ejpam-7065	182	10	alsoboh	alsoboh	NOUN
ejpam-7065	182	11	et	et	PROPN
ejpam-7065	182	12	al	al	PROPN
ejpam-7065	182	13	.	.	PUNCT
ejpam-7065	182	14	/	/	SYM
ejpam-7065	182	15	eur	eur	PROPN
ejpam-7065	182	16	.	.	PUNCT
ejpam-7065	183	1	j.	j.	PROPN
ejpam-7065	183	2	pure	pure	PROPN
ejpam-7065	183	3	appl	appl	PROPN
ejpam-7065	183	4	.	.	PROPN
ejpam-7065	183	5	math	math	PROPN
ejpam-7065	183	6	,	,	PUNCT
ejpam-7065	183	7	18	18	NUM
ejpam-7065	183	8	(	(	PUNCT
ejpam-7065	183	9	4	4	NUM
ejpam-7065	183	10	)	)	PUNCT
ejpam-7065	183	11	(	(	PUNCT
ejpam-7065	183	12	2025	2025	NUM
ejpam-7065	183	13	)	)	PUNCT
ejpam-7065	183	14	,	,	PUNCT
ejpam-7065	183	15	7065	7065	NUM
ejpam-7065	183	16	9	9	NUM
ejpam-7065	183	17	of	of	ADP
ejpam-7065	183	18	16	16	NUM
ejpam-7065	183	19	from	from	ADP
ejpam-7065	183	20	(	(	PUNCT
ejpam-7065	183	21	28	28	NUM
ejpam-7065	183	22	)	)	PUNCT
ejpam-7065	183	23	and	and	CCONJ
ejpam-7065	183	24	(	(	PUNCT
ejpam-7065	183	25	29	29	NUM
ejpam-7065	183	26	)	)	PUNCT
ejpam-7065	183	27	,	,	PUNCT
ejpam-7065	183	28	we	we	PRON
ejpam-7065	183	29	have	have	VERB
ejpam-7065	183	30	ℓ1	ℓ1	VERB
ejpam-7065	183	31	=	=	PUNCT
ejpam-7065	184	1	−τ1	−τ1	NOUN
ejpam-7065	184	2	⇐	⇐	ADJ
ejpam-7065	184	3	⇒	⇒	NOUN
ejpam-7065	184	4	ℓ21	ℓ21	NOUN
ejpam-7065	184	5	=	=	SYM
ejpam-7065	184	6	τ21	τ21	PROPN
ejpam-7065	184	7	,	,	PUNCT
ejpam-7065	184	8	(	(	PUNCT
ejpam-7065	184	9	32	32	NUM
ejpam-7065	184	10	)	)	PUNCT
ejpam-7065	184	11	and	and	CCONJ
ejpam-7065	184	12	α2	α2	ADJ
ejpam-7065	184	13	2	2	NUM
ejpam-7065	184	14	=	=	SYM
ejpam-7065	184	15	ρ2ϑ2q	ρ2ϑ2q	NUM
ejpam-7065	184	16	8q2(1	8q2(1	NUM
ejpam-7065	184	17	+	+	CCONJ
ejpam-7065	184	18	qβ)2	qβ)2	NOUN
ejpam-7065	184	19	(	(	PUNCT
ejpam-7065	184	20	ℓ21	ℓ21	PROPN
ejpam-7065	184	21	+	+	CCONJ
ejpam-7065	184	22	τ21	τ21	PROPN
ejpam-7065	184	23	)	)	PUNCT
ejpam-7065	184	24	⇐	⇐	ADJ
ejpam-7065	184	25	⇒	⇒	NOUN
ejpam-7065	184	26	ℓ21	ℓ21	NOUN
ejpam-7065	184	27	+	+	CCONJ
ejpam-7065	184	28	τ21	τ21	NOUN
ejpam-7065	184	29	=	=	SYM
ejpam-7065	184	30	8q2(1	8q2(1	NUM
ejpam-7065	184	31	+	+	CCONJ
ejpam-7065	184	32	qβ)2	qβ)2	NOUN
ejpam-7065	184	33	ρ2ϑ2q	ρ2ϑ2q	NUM
ejpam-7065	184	34	α2	α2	PROPN
ejpam-7065	184	35	2	2	NUM
ejpam-7065	184	36	.	.	PUNCT
ejpam-7065	185	1	(	(	PUNCT
ejpam-7065	185	2	33	33	NUM
ejpam-7065	185	3	)	)	PUNCT
ejpam-7065	185	4	now	now	ADV
ejpam-7065	185	5	,	,	PUNCT
ejpam-7065	185	6	by	by	ADP
ejpam-7065	185	7	summing	sum	VERB
ejpam-7065	185	8	(	(	PUNCT
ejpam-7065	185	9	30	30	NUM
ejpam-7065	185	10	)	)	PUNCT
ejpam-7065	185	11	and	and	CCONJ
ejpam-7065	185	12	(	(	PUNCT
ejpam-7065	185	13	31	31	NUM
ejpam-7065	185	14	)	)	PUNCT
ejpam-7065	185	15	,	,	PUNCT
ejpam-7065	185	16	we	we	PRON
ejpam-7065	185	17	obtain	obtain	VERB
ejpam-7065	185	18	2(k	2(k	NUM
ejpam-7065	185	19	−x	−x	NOUN
ejpam-7065	185	20	)	)	PUNCT
ejpam-7065	186	1	ρ	ρ	NOUN
ejpam-7065	186	2	α2	α2	ADJ
ejpam-7065	186	3	2	2	NUM
ejpam-7065	186	4	=	=	SYM
ejpam-7065	186	5	1	1	NUM
ejpam-7065	186	6	2	2	NUM
ejpam-7065	186	7	[	[	PUNCT
ejpam-7065	186	8	(	(	PUNCT
ejpam-7065	186	9	ℓ2	ℓ2	NOUN
ejpam-7065	186	10	+	+	CCONJ
ejpam-7065	186	11	τ2)p̂1	τ2)p̂1	ADJ
ejpam-7065	186	12	−	−	PROPN
ejpam-7065	186	13	ℓ21	ℓ21	NOUN
ejpam-7065	186	14	+	+	CCONJ
ejpam-7065	186	15	τ21	τ21	PROPN
ejpam-7065	186	16	2	2	NUM
ejpam-7065	186	17	p̂1	p̂1	VERB
ejpam-7065	186	18	+	+	CCONJ
ejpam-7065	186	19	ℓ21	ℓ21	NOUN
ejpam-7065	186	20	+	+	CCONJ
ejpam-7065	186	21	τ21	τ21	NOUN
ejpam-7065	186	22	2	2	NUM
ejpam-7065	186	23	p̂2	p̂2	NOUN
ejpam-7065	186	24	]	]	PUNCT
ejpam-7065	186	25	=	=	SYM
ejpam-7065	186	26	1	1	NUM
ejpam-7065	186	27	2	2	NUM
ejpam-7065	186	28	[	[	PUNCT
ejpam-7065	186	29	(	(	PUNCT
ejpam-7065	186	30	ℓ2	ℓ2	NOUN
ejpam-7065	186	31	+	+	CCONJ
ejpam-7065	186	32	τ2)p̂1	τ2)p̂1	ADJ
ejpam-7065	186	33	+	+	NUM
ejpam-7065	186	34	ℓ21	ℓ21	NOUN
ejpam-7065	186	35	+	+	CCONJ
ejpam-7065	186	36	τ21	τ21	PROPN
ejpam-7065	186	37	2	2	NUM
ejpam-7065	186	38	(	(	PUNCT
ejpam-7065	186	39	p̂2	p̂2	NOUN
ejpam-7065	186	40	−	−	PROPN
ejpam-7065	186	41	p̂1	p̂1	ADJ
ejpam-7065	186	42	)	)	PUNCT
ejpam-7065	186	43	]	]	PUNCT
ejpam-7065	186	44	.	.	PUNCT
ejpam-7065	187	1	(	(	PUNCT
ejpam-7065	187	2	34	34	NUM
ejpam-7065	187	3	)	)	PUNCT
ejpam-7065	187	4	since	since	SCONJ
ejpam-7065	187	5	from	from	ADP
ejpam-7065	187	6	the	the	DET
ejpam-7065	187	7	expansion	expansion	NOUN
ejpam-7065	187	8	of	of	ADP
ejpam-7065	187	9	υ(z	υ(z	PROPN
ejpam-7065	187	10	;	;	PUNCT
ejpam-7065	187	11	q	q	X
ejpam-7065	187	12	)	)	PUNCT
ejpam-7065	187	13	we	we	PRON
ejpam-7065	187	14	have	have	AUX
ejpam-7065	187	15	p̂1	p̂1	VERB
ejpam-7065	187	16	=	=	PUNCT
ejpam-7065	187	17	ϑq	ϑq	NOUN
ejpam-7065	187	18	,	,	PUNCT
ejpam-7065	187	19	p̂2	p̂2	NOUN
ejpam-7065	187	20	=	=	PUNCT
ejpam-7065	187	21	(	(	PUNCT
ejpam-7065	187	22	2q	2q	NOUN
ejpam-7065	187	23	+	+	CCONJ
ejpam-7065	187	24	1)ϑ2q	1)ϑ2q	NUM
ejpam-7065	187	25	,	,	PUNCT
ejpam-7065	187	26	we	we	PRON
ejpam-7065	187	27	can	can	AUX
ejpam-7065	187	28	express	express	VERB
ejpam-7065	187	29	p̂2	p̂2	NOUN
ejpam-7065	188	1	−	−	PROPN
ejpam-7065	188	2	p̂1	p̂1	VERB
ejpam-7065	188	3	=	=	PRON
ejpam-7065	188	4	ϑq	ϑq	INTJ
ejpam-7065	188	5	(	(	PUNCT
ejpam-7065	188	6	(	(	PUNCT
ejpam-7065	188	7	2q	2q	NOUN
ejpam-7065	189	1	+	+	PUNCT
ejpam-7065	189	2	1)ϑq	1)ϑq	NUM
ejpam-7065	189	3	−	−	NOUN
ejpam-7065	189	4	1	1	NUM
ejpam-7065	189	5	)	)	PUNCT
ejpam-7065	189	6	.	.	PUNCT
ejpam-7065	190	1	substituting	substitute	VERB
ejpam-7065	190	2	these	these	PRON
ejpam-7065	190	3	into	into	ADP
ejpam-7065	190	4	(	(	PUNCT
ejpam-7065	190	5	34	34	NUM
ejpam-7065	190	6	)	)	PUNCT
ejpam-7065	190	7	yields	yield	VERB
ejpam-7065	190	8	2(k	2(k	NUM
ejpam-7065	190	9	−x	−x	NOUN
ejpam-7065	190	10	)	)	PUNCT
ejpam-7065	190	11	ρ	ρ	NOUN
ejpam-7065	190	12	α2	α2	ADJ
ejpam-7065	190	13	2	2	NUM
ejpam-7065	190	14	=	=	SYM
ejpam-7065	190	15	ϑq	ϑq	PROPN
ejpam-7065	190	16	2	2	NUM
ejpam-7065	190	17	(	(	PUNCT
ejpam-7065	190	18	ℓ2	ℓ2	NOUN
ejpam-7065	190	19	+	+	CCONJ
ejpam-7065	190	20	τ2	τ2	NOUN
ejpam-7065	190	21	)	)	PUNCT
ejpam-7065	191	1	+	+	CCONJ
ejpam-7065	191	2	[	[	PUNCT
ejpam-7065	191	3	(	(	PUNCT
ejpam-7065	191	4	2q	2q	NOUN
ejpam-7065	191	5	+	+	X
ejpam-7065	191	6	1)ϑ2q	1)ϑ2q	NUM
ejpam-7065	191	7	4	4	NUM
ejpam-7065	191	8	−	−	NOUN
ejpam-7065	191	9	ϑq	ϑq	ADP
ejpam-7065	191	10	4	4	NUM
ejpam-7065	191	11	]	]	PUNCT
ejpam-7065	191	12	(	(	PUNCT
ejpam-7065	191	13	ℓ21	ℓ21	NOUN
ejpam-7065	191	14	+	+	CCONJ
ejpam-7065	191	15	τ21	τ21	PROPN
ejpam-7065	191	16	)	)	PUNCT
ejpam-7065	191	17	.	.	PUNCT
ejpam-7065	192	1	(	(	PUNCT
ejpam-7065	192	2	35	35	NUM
ejpam-7065	192	3	)	)	PUNCT
ejpam-7065	192	4	now	now	ADV
ejpam-7065	192	5	,	,	PUNCT
ejpam-7065	192	6	substituting	substitute	VERB
ejpam-7065	192	7	(	(	PUNCT
ejpam-7065	192	8	33	33	NUM
ejpam-7065	192	9	)	)	PUNCT
ejpam-7065	192	10	into	into	ADP
ejpam-7065	192	11	(	(	PUNCT
ejpam-7065	192	12	35	35	NUM
ejpam-7065	192	13	)	)	PUNCT
ejpam-7065	192	14	,	,	PUNCT
ejpam-7065	192	15	we	we	PRON
ejpam-7065	192	16	obtain	obtain	VERB
ejpam-7065	192	17	2(k	2(k	NUM
ejpam-7065	192	18	−x	−x	NOUN
ejpam-7065	192	19	)	)	PUNCT
ejpam-7065	192	20	ρ	ρ	NOUN
ejpam-7065	192	21	α2	α2	ADJ
ejpam-7065	192	22	2	2	NUM
ejpam-7065	192	23	=	=	SYM
ejpam-7065	192	24	ϑq	ϑq	PROPN
ejpam-7065	192	25	2	2	NUM
ejpam-7065	192	26	(	(	PUNCT
ejpam-7065	192	27	ℓ2	ℓ2	NOUN
ejpam-7065	192	28	+	+	CCONJ
ejpam-7065	192	29	τ2	τ2	NOUN
ejpam-7065	192	30	)	)	PUNCT
ejpam-7065	193	1	+	+	CCONJ
ejpam-7065	193	2	[	[	PUNCT
ejpam-7065	193	3	(	(	PUNCT
ejpam-7065	193	4	2q	2q	NOUN
ejpam-7065	193	5	+	+	X
ejpam-7065	193	6	1)ϑ2q	1)ϑ2q	NUM
ejpam-7065	193	7	4	4	NUM
ejpam-7065	193	8	−	−	NOUN
ejpam-7065	193	9	ϑq	ϑq	ADP
ejpam-7065	193	10	4	4	NUM
ejpam-7065	193	11	]	]	PUNCT
ejpam-7065	193	12	(	(	PUNCT
ejpam-7065	193	13	8q2(1	8q2(1	NUM
ejpam-7065	193	14	+	+	CCONJ
ejpam-7065	193	15	qβ)2	qβ)2	NOUN
ejpam-7065	193	16	ρ2ϑ2q	ρ2ϑ2q	NUM
ejpam-7065	193	17	α2	α2	NOUN
ejpam-7065	193	18	2	2	NUM
ejpam-7065	193	19	)	)	PUNCT
ejpam-7065	193	20	=	=	PUNCT
ejpam-7065	193	21	ϑq	ϑq	PRON
ejpam-7065	193	22	2	2	NUM
ejpam-7065	193	23	(	(	PUNCT
ejpam-7065	193	24	ℓ2	ℓ2	NOUN
ejpam-7065	193	25	+	+	CCONJ
ejpam-7065	193	26	τ2	τ2	NOUN
ejpam-7065	193	27	)	)	PUNCT
ejpam-7065	193	28	+	+	NUM
ejpam-7065	193	29	2q2(1	2q2(1	NUM
ejpam-7065	193	30	+	+	CCONJ
ejpam-7065	193	31	qβ)2	qβ)2	NOUN
ejpam-7065	193	32	ρ2	ρ2	NOUN
ejpam-7065	193	33	(	(	PUNCT
ejpam-7065	193	34	(	(	PUNCT
ejpam-7065	193	35	2q	2q	X
ejpam-7065	193	36	+	+	X
ejpam-7065	193	37	1)−	1)−	NUM
ejpam-7065	193	38	1	1	NUM
ejpam-7065	193	39	ϑq	ϑq	ADV
ejpam-7065	193	40	)	)	PUNCT
ejpam-7065	193	41	α2	α2	PROPN
ejpam-7065	193	42	2	2	X
ejpam-7065	193	43	.	.	PUNCT
ejpam-7065	193	44	(	(	PUNCT
ejpam-7065	193	45	36	36	NUM
ejpam-7065	193	46	)	)	PUNCT
ejpam-7065	193	47	rearranging	rearrange	VERB
ejpam-7065	193	48	terms	term	NOUN
ejpam-7065	193	49	,	,	PUNCT
ejpam-7065	193	50	we	we	PRON
ejpam-7065	193	51	get	get	VERB
ejpam-7065	193	52	[	[	PUNCT
ejpam-7065	193	53	2(k	2(k	NUM
ejpam-7065	193	54	−x	−x	NOUN
ejpam-7065	193	55	)	)	PUNCT
ejpam-7065	194	1	ρ	ρ	PROPN
ejpam-7065	194	2	−	−	PROPN
ejpam-7065	194	3	2q2(1	2q2(1	NUM
ejpam-7065	194	4	+	+	CCONJ
ejpam-7065	194	5	qβ)2	qβ)2	NOUN
ejpam-7065	194	6	ρ2	ρ2	NOUN
ejpam-7065	194	7	(	(	PUNCT
ejpam-7065	194	8	(	(	PUNCT
ejpam-7065	194	9	2q	2q	X
ejpam-7065	194	10	+	+	X
ejpam-7065	194	11	1)−	1)−	NUM
ejpam-7065	194	12	1	1	NUM
ejpam-7065	194	13	ϑq	ϑq	ADP
ejpam-7065	194	14	)	)	PUNCT
ejpam-7065	194	15	]	]	PUNCT
ejpam-7065	195	1	α2	α2	ADV
ejpam-7065	195	2	2	2	NUM
ejpam-7065	195	3	=	=	SYM
ejpam-7065	195	4	ϑq	ϑq	PROPN
ejpam-7065	195	5	2	2	NUM
ejpam-7065	195	6	(	(	PUNCT
ejpam-7065	195	7	ℓ2	ℓ2	NOUN
ejpam-7065	195	8	+	+	CCONJ
ejpam-7065	195	9	τ2	τ2	NOUN
ejpam-7065	195	10	)	)	PUNCT
ejpam-7065	195	11	.	.	PUNCT
ejpam-7065	196	1	(	(	PUNCT
ejpam-7065	196	2	37	37	NUM
ejpam-7065	196	3	)	)	PUNCT
ejpam-7065	196	4	finally	finally	ADV
ejpam-7065	196	5	,	,	PUNCT
ejpam-7065	196	6	defining	define	VERB
ejpam-7065	196	7	c	c	NOUN
ejpam-7065	196	8	=	=	SYM
ejpam-7065	196	9	q2(1	q2(1	NOUN
ejpam-7065	196	10	+	+	CCONJ
ejpam-7065	196	11	qβ)2	qβ)2	PROPN
ejpam-7065	196	12	,	,	PUNCT
ejpam-7065	196	13	we	we	PRON
ejpam-7065	196	14	can	can	AUX
ejpam-7065	196	15	rewrite	rewrite	VERB
ejpam-7065	196	16	(	(	PUNCT
ejpam-7065	196	17	37	37	NUM
ejpam-7065	196	18	)	)	PUNCT
ejpam-7065	196	19	as	as	ADP
ejpam-7065	196	20	α2	α2	ADJ
ejpam-7065	196	21	2	2	NUM
ejpam-7065	196	22	=	=	SYM
ejpam-7065	196	23	(	(	PUNCT
ejpam-7065	196	24	ℓ2	ℓ2	PROPN
ejpam-7065	196	25	+	+	CCONJ
ejpam-7065	196	26	τ2	τ2	NOUN
ejpam-7065	196	27	)	)	PUNCT
ejpam-7065	196	28	ρ	ρ	NOUN
ejpam-7065	196	29	2ϑ2q	2ϑ2q	NUM
ejpam-7065	196	30	4	4	NUM
ejpam-7065	197	1	[	[	PUNCT
ejpam-7065	197	2	(	(	PUNCT
ejpam-7065	197	3	k	k	X
ejpam-7065	197	4	−x)ρϑq	−x)ρϑq	X
ejpam-7065	197	5	+	+	CCONJ
ejpam-7065	197	6	(	(	PUNCT
ejpam-7065	197	7	1−	1−	NUM
ejpam-7065	197	8	(	(	PUNCT
ejpam-7065	197	9	2q	2q	NOUN
ejpam-7065	197	10	+	+	X
ejpam-7065	197	11	1)ϑq	1)ϑq	NUM
ejpam-7065	197	12	)	)	PUNCT
ejpam-7065	197	13	c	c	NOUN
ejpam-7065	197	14	]	]	PUNCT
ejpam-7065	197	15	.	.	PUNCT
ejpam-7065	198	1	(	(	PUNCT
ejpam-7065	198	2	38	38	NUM
ejpam-7065	198	3	)	)	PUNCT
ejpam-7065	198	4	a.	a.	NOUN
ejpam-7065	198	5	alsoboh	alsoboh	NOUN
ejpam-7065	198	6	et	et	PROPN
ejpam-7065	198	7	al	al	PROPN
ejpam-7065	198	8	.	.	PUNCT
ejpam-7065	198	9	/	/	SYM
ejpam-7065	198	10	eur	eur	PROPN
ejpam-7065	198	11	.	.	PUNCT
ejpam-7065	199	1	j.	j.	PROPN
ejpam-7065	199	2	pure	pure	PROPN
ejpam-7065	199	3	appl	appl	PROPN
ejpam-7065	199	4	.	.	PROPN
ejpam-7065	199	5	math	math	PROPN
ejpam-7065	199	6	,	,	PUNCT
ejpam-7065	199	7	18	18	NUM
ejpam-7065	199	8	(	(	PUNCT
ejpam-7065	199	9	4	4	NUM
ejpam-7065	199	10	)	)	PUNCT
ejpam-7065	199	11	(	(	PUNCT
ejpam-7065	199	12	2025	2025	NUM
ejpam-7065	199	13	)	)	PUNCT
ejpam-7065	199	14	,	,	PUNCT
ejpam-7065	199	15	7065	7065	NUM
ejpam-7065	199	16	10	10	NUM
ejpam-7065	199	17	of	of	ADP
ejpam-7065	199	18	16	16	NUM
ejpam-7065	199	19	since	since	SCONJ
ejpam-7065	199	20	for	for	ADP
ejpam-7065	199	21	functions	function	NOUN
ejpam-7065	199	22	ψ	ψ	NOUN
ejpam-7065	199	23	,	,	PUNCT
ejpam-7065	199	24	ν	ν	PROPN
ejpam-7065	199	25	∈	∈	PROPN
ejpam-7065	199	26	p	p	X
ejpam-7065	199	27	,	,	PUNCT
ejpam-7065	199	28	we	we	PRON
ejpam-7065	199	29	have	have	AUX
ejpam-7065	199	30	|ℓ2|	|ℓ2|	NOUN
ejpam-7065	199	31	,	,	PUNCT
ejpam-7065	199	32	|τ2|	|τ2|	ADJ
ejpam-7065	199	33	≤	≤	NUM
ejpam-7065	199	34	2	2	NUM
ejpam-7065	200	1	,	,	PUNCT
ejpam-7065	200	2	it	it	PRON
ejpam-7065	200	3	follows	follow	VERB
ejpam-7065	200	4	that	that	SCONJ
ejpam-7065	200	5	|ℓ2+τ2|	|ℓ2+τ2|	VERB
ejpam-7065	200	6	≤	≤	ADJ
ejpam-7065	200	7	4	4	NUM
ejpam-7065	200	8	.	.	PUNCT
ejpam-7065	201	1	therefore	therefore	ADV
ejpam-7065	201	2	,	,	PUNCT
ejpam-7065	201	3	we	we	PRON
ejpam-7065	201	4	obtain	obtain	VERB
ejpam-7065	201	5	the	the	DET
ejpam-7065	201	6	bound	bind	VERB
ejpam-7065	201	7	|α2|	|α2|	NOUN
ejpam-7065	201	8	≤	≤	NUM
ejpam-7065	201	9	|ρ|	|ρ|	NUM
ejpam-7065	201	10	|ϑq|√∣∣	|ϑq|√∣∣	NOUN
ejpam-7065	201	11	(	(	PUNCT
ejpam-7065	201	12	k	k	NOUN
ejpam-7065	201	13	−x)ρϑq	−x)ρϑq	X
ejpam-7065	201	14	+	+	CCONJ
ejpam-7065	201	15	(	(	PUNCT
ejpam-7065	201	16	1−	1−	NUM
ejpam-7065	201	17	(	(	PUNCT
ejpam-7065	201	18	2q	2q	NOUN
ejpam-7065	201	19	+	+	X
ejpam-7065	201	20	1)ϑq	1)ϑq	NUM
ejpam-7065	201	21	)	)	PUNCT
ejpam-7065	201	22	c	c	NOUN
ejpam-7065	201	23	∣∣	∣∣	X
ejpam-7065	201	24	.	.	PUNCT
ejpam-7065	202	1	now	now	ADV
ejpam-7065	202	2	,	,	PUNCT
ejpam-7065	202	3	to	to	PART
ejpam-7065	202	4	find	find	VERB
ejpam-7065	202	5	the	the	DET
ejpam-7065	202	6	bound	bind	VERB
ejpam-7065	202	7	of	of	ADP
ejpam-7065	202	8	|α3|	|α3|	NOUN
ejpam-7065	202	9	,	,	PUNCT
ejpam-7065	202	10	subtract	subtract	NOUN
ejpam-7065	202	11	(	(	PUNCT
ejpam-7065	202	12	31	31	NUM
ejpam-7065	202	13	)	)	PUNCT
ejpam-7065	202	14	from	from	ADP
ejpam-7065	202	15	(	(	PUNCT
ejpam-7065	202	16	30	30	NUM
ejpam-7065	202	17	)	)	PUNCT
ejpam-7065	202	18	.	.	PUNCT
ejpam-7065	203	1	on	on	ADP
ejpam-7065	203	2	the	the	DET
ejpam-7065	203	3	left	left	ADJ
ejpam-7065	203	4	-	-	PUNCT
ejpam-7065	203	5	hand	hand	NOUN
ejpam-7065	203	6	side	side	NOUN
ejpam-7065	203	7	we	we	PRON
ejpam-7065	203	8	get	get	VERB
ejpam-7065	203	9	kα3	kα3	PROPN
ejpam-7065	203	10	−xα2	−xα2	ADP
ejpam-7065	203	11	2	2	NUM
ejpam-7065	203	12	ρ	ρ	NUM
ejpam-7065	203	13	−	−	PROPN
ejpam-7065	203	14	(	(	PUNCT
ejpam-7065	203	15	2k	2k	NOUN
ejpam-7065	203	16	−x)α2	−x)α2	ADV
ejpam-7065	203	17	2	2	NUM
ejpam-7065	203	18	−kα3	−kα3	PROPN
ejpam-7065	203	19	ρ	ρ	PROPN
ejpam-7065	203	20	=	=	SYM
ejpam-7065	203	21	2k	2k	PROPN
ejpam-7065	203	22	ρ	ρ	PROPN
ejpam-7065	203	23	(	(	PUNCT
ejpam-7065	203	24	α3	α3	NOUN
ejpam-7065	203	25	−	−	PROPN
ejpam-7065	203	26	α2	α2	ADJ
ejpam-7065	203	27	2	2	NUM
ejpam-7065	203	28	)	)	PUNCT
ejpam-7065	203	29	.	.	PUNCT
ejpam-7065	204	1	on	on	ADP
ejpam-7065	204	2	the	the	DET
ejpam-7065	204	3	right	right	ADJ
ejpam-7065	204	4	-	-	PUNCT
ejpam-7065	204	5	hand	hand	NOUN
ejpam-7065	204	6	side	side	NOUN
ejpam-7065	204	7	,	,	PUNCT
ejpam-7065	204	8	1	1	NUM
ejpam-7065	204	9	2	2	NUM
ejpam-7065	204	10	[	[	X
ejpam-7065	204	11	(	(	PUNCT
ejpam-7065	204	12	ℓ2	ℓ2	PROPN
ejpam-7065	204	13	−	−	PROPN
ejpam-7065	204	14	ℓ21	ℓ21	NOUN
ejpam-7065	204	15	2	2	NUM
ejpam-7065	204	16	)	)	PUNCT
ejpam-7065	204	17	p̂1	p̂1	VERB
ejpam-7065	205	1	+	+	CCONJ
ejpam-7065	205	2	ℓ21	ℓ21	NOUN
ejpam-7065	205	3	2	2	NUM
ejpam-7065	205	4	p̂2	p̂2	NOUN
ejpam-7065	205	5	]	]	PUNCT
ejpam-7065	205	6	−1	−1	NOUN
ejpam-7065	205	7	2	2	NUM
ejpam-7065	205	8	[	[	X
ejpam-7065	205	9	(	(	PUNCT
ejpam-7065	205	10	τ2	τ2	PROPN
ejpam-7065	205	11	−	−	PROPN
ejpam-7065	205	12	τ21	τ21	NOUN
ejpam-7065	205	13	2	2	NUM
ejpam-7065	205	14	)	)	PUNCT
ejpam-7065	205	15	p̂1	p̂1	VERB
ejpam-7065	206	1	+	+	CCONJ
ejpam-7065	206	2	τ21	τ21	NOUN
ejpam-7065	206	3	2	2	NUM
ejpam-7065	206	4	p̂2	p̂2	NOUN
ejpam-7065	206	5	]	]	PUNCT
ejpam-7065	206	6	=	=	SYM
ejpam-7065	206	7	1	1	NUM
ejpam-7065	206	8	2	2	NUM
ejpam-7065	206	9	[	[	PUNCT
ejpam-7065	206	10	(	(	PUNCT
ejpam-7065	206	11	ℓ2	ℓ2	PROPN
ejpam-7065	206	12	−	−	PROPN
ejpam-7065	206	13	τ2)p̂1	τ2)p̂1	PROPN
ejpam-7065	206	14	+	+	PROPN
ejpam-7065	206	15	ℓ21	ℓ21	NOUN
ejpam-7065	206	16	−	−	PROPN
ejpam-7065	206	17	τ21	τ21	NOUN
ejpam-7065	206	18	2	2	NUM
ejpam-7065	206	19	(	(	PUNCT
ejpam-7065	206	20	p̂2	p̂2	NOUN
ejpam-7065	206	21	−	−	PROPN
ejpam-7065	206	22	p̂1	p̂1	PROPN
ejpam-7065	206	23	)	)	PUNCT
ejpam-7065	206	24	]	]	PUNCT
ejpam-7065	206	25	.	.	PUNCT
ejpam-7065	207	1	using	use	VERB
ejpam-7065	207	2	(	(	PUNCT
ejpam-7065	207	3	28)–(29	28)–(29	NUM
ejpam-7065	207	4	)	)	PUNCT
ejpam-7065	207	5	we	we	PRON
ejpam-7065	207	6	have	have	VERB
ejpam-7065	207	7	ℓ1	ℓ1	VERB
ejpam-7065	207	8	=	=	PUNCT
ejpam-7065	207	9	−τ1	−τ1	NOUN
ejpam-7065	207	10	,	,	PUNCT
ejpam-7065	207	11	and	and	CCONJ
ejpam-7065	207	12	hence	hence	ADV
ejpam-7065	207	13	ℓ21	ℓ21	VERB
ejpam-7065	207	14	=	=	SYM
ejpam-7065	207	15	τ21	τ21	PROPN
ejpam-7065	207	16	and	and	CCONJ
ejpam-7065	207	17	the	the	DET
ejpam-7065	207	18	last	last	ADJ
ejpam-7065	207	19	term	term	NOUN
ejpam-7065	207	20	vanishes	vanish	VERB
ejpam-7065	207	21	.	.	PUNCT
ejpam-7065	208	1	therefore	therefore	ADV
ejpam-7065	208	2	,	,	PUNCT
ejpam-7065	208	3	2k	2k	PROPN
ejpam-7065	208	4	ρ	ρ	PROPN
ejpam-7065	208	5	(	(	PUNCT
ejpam-7065	208	6	α3	α3	NOUN
ejpam-7065	208	7	−	−	PROPN
ejpam-7065	208	8	α2	α2	ADJ
ejpam-7065	208	9	2	2	NUM
ejpam-7065	208	10	)	)	PUNCT
ejpam-7065	208	11	=	=	SYM
ejpam-7065	208	12	1	1	NUM
ejpam-7065	208	13	2	2	NUM
ejpam-7065	208	14	(	(	PUNCT
ejpam-7065	208	15	ℓ2	ℓ2	NOUN
ejpam-7065	208	16	−	−	PROPN
ejpam-7065	208	17	τ2	τ2	PROPN
ejpam-7065	208	18	)	)	PUNCT
ejpam-7065	208	19	p̂1	p̂1	VERB
ejpam-7065	208	20	.	.	PUNCT
ejpam-7065	209	1	recalling	recall	VERB
ejpam-7065	209	2	p̂1	p̂1	PROPN
ejpam-7065	209	3	=	=	PUNCT
ejpam-7065	209	4	ϑq	ϑq	VERB
ejpam-7065	209	5	,	,	PUNCT
ejpam-7065	209	6	we	we	PRON
ejpam-7065	209	7	obtain	obtain	VERB
ejpam-7065	209	8	the	the	DET
ejpam-7065	209	9	identity	identity	NOUN
ejpam-7065	209	10	α3	α3	NOUN
ejpam-7065	209	11	=	=	SYM
ejpam-7065	209	12	α2	α2	ADJ
ejpam-7065	209	13	2	2	NUM
ejpam-7065	210	1	+	+	CCONJ
ejpam-7065	210	2	ρϑq	ρϑq	VERB
ejpam-7065	210	3	4k	4k	X
ejpam-7065	210	4	(	(	PUNCT
ejpam-7065	210	5	ℓ2	ℓ2	PROPN
ejpam-7065	210	6	−	−	PROPN
ejpam-7065	210	7	τ2	τ2	PROPN
ejpam-7065	210	8	)	)	PUNCT
ejpam-7065	210	9	.	.	PUNCT
ejpam-7065	211	1	(	(	PUNCT
ejpam-7065	211	2	39	39	NUM
ejpam-7065	211	3	)	)	PUNCT
ejpam-7065	211	4	taking	take	VERB
ejpam-7065	211	5	absolute	absolute	ADJ
ejpam-7065	211	6	values	value	NOUN
ejpam-7065	211	7	and	and	CCONJ
ejpam-7065	211	8	using	use	VERB
ejpam-7065	211	9	the	the	DET
ejpam-7065	211	10	carathéodory	carathéodory	ADJ
ejpam-7065	211	11	bounds	bound	NOUN
ejpam-7065	211	12	|ℓ2|	|ℓ2|	VERB
ejpam-7065	211	13	,	,	PUNCT
ejpam-7065	211	14	|τ2|	|τ2|	ADJ
ejpam-7065	211	15	≤	≤	ADJ
ejpam-7065	211	16	2	2	NUM
ejpam-7065	211	17	(	(	PUNCT
ejpam-7065	211	18	that	that	PRON
ejpam-7065	211	19	is	is	ADV
ejpam-7065	211	20	,	,	PUNCT
ejpam-7065	211	21	|ℓ2	|ℓ2	NOUN
ejpam-7065	212	1	−	−	NOUN
ejpam-7065	212	2	τ2|	τ2|	PUNCT
ejpam-7065	212	3	≤	≤	NUM
ejpam-7065	212	4	4	4	NUM
ejpam-7065	212	5	)	)	PUNCT
ejpam-7065	212	6	,	,	PUNCT
ejpam-7065	212	7	we	we	PRON
ejpam-7065	212	8	get	get	VERB
ejpam-7065	212	9	|α3|	|α3|	NOUN
ejpam-7065	212	10	≤	≤	NOUN
ejpam-7065	212	11	|α2|2	|α2|2	PUNCT
ejpam-7065	213	1	+	+	PUNCT
ejpam-7065	213	2	|ρ|	|ρ|	NOUN
ejpam-7065	213	3	|ϑq|	|ϑq|	VERB
ejpam-7065	213	4	k	k	X
ejpam-7065	213	5	.	.	PUNCT
ejpam-7065	214	1	(	(	PUNCT
ejpam-7065	214	2	40	40	NUM
ejpam-7065	214	3	)	)	PUNCT
ejpam-7065	214	4	finally	finally	ADV
ejpam-7065	214	5	,	,	PUNCT
ejpam-7065	214	6	substituting	substitute	VERB
ejpam-7065	214	7	the	the	DET
ejpam-7065	214	8	estimate	estimate	NOUN
ejpam-7065	214	9	for	for	ADP
ejpam-7065	214	10	|α2|	|α2|	NOUN
ejpam-7065	214	11	from	from	ADP
ejpam-7065	214	12	(	(	PUNCT
ejpam-7065	214	13	39	39	NUM
ejpam-7065	214	14	)	)	PUNCT
ejpam-7065	214	15	(	(	PUNCT
ejpam-7065	214	16	or	or	CCONJ
ejpam-7065	214	17	(	(	PUNCT
ejpam-7065	214	18	38	38	NUM
ejpam-7065	214	19	)	)	PUNCT
ejpam-7065	214	20	)	)	PUNCT
ejpam-7065	214	21	yields	yield	NOUN
ejpam-7065	214	22	|α3|	|α3|	VERB
ejpam-7065	214	23	≤	≤	ADJ
ejpam-7065	214	24	|ρ|	|ρ|	NOUN
ejpam-7065	214	25	|ϑq|	|ϑq|	VERB
ejpam-7065	214	26	{	{	PUNCT
ejpam-7065	214	27	∣∣	∣∣	NUM
ejpam-7065	214	28	ρϑq(k	ρϑq(k	PROPN
ejpam-7065	214	29	−x	−x	NOUN
ejpam-7065	214	30	)	)	PUNCT
ejpam-7065	215	1	+	+	CCONJ
ejpam-7065	215	2	(	(	PUNCT
ejpam-7065	215	3	1−	1−	NUM
ejpam-7065	215	4	(	(	PUNCT
ejpam-7065	215	5	2q	2q	NOUN
ejpam-7065	215	6	+	+	X
ejpam-7065	215	7	1)ϑq	1)ϑq	NUM
ejpam-7065	215	8	)	)	PUNCT
ejpam-7065	215	9	c	c	PROPN
ejpam-7065	215	10	∣∣+	∣∣+	PROPN
ejpam-7065	215	11	|ρ|	|ρ|	X
ejpam-7065	215	12	|ϑq|k	|ϑq|k	VERB
ejpam-7065	215	13	}	}	PUNCT
ejpam-7065	215	14	k	k	X
ejpam-7065	215	15	∣∣	∣∣	NUM
ejpam-7065	215	16	ρϑq(k	ρϑq(k	NOUN
ejpam-7065	215	17	−x	−x	NOUN
ejpam-7065	215	18	)	)	PUNCT
ejpam-7065	216	1	+	+	CCONJ
ejpam-7065	216	2	(	(	PUNCT
ejpam-7065	216	3	1−	1−	NUM
ejpam-7065	216	4	(	(	PUNCT
ejpam-7065	216	5	2q	2q	NOUN
ejpam-7065	216	6	+	+	X
ejpam-7065	216	7	1)ϑq	1)ϑq	NUM
ejpam-7065	216	8	)	)	PUNCT
ejpam-7065	216	9	c	c	PROPN
ejpam-7065	216	10	∣∣	∣∣	PUNCT
ejpam-7065	216	11	.	.	PUNCT
ejpam-7065	217	1	theorem	theorem	VERB
ejpam-7065	217	2	2	2	NUM
ejpam-7065	217	3	.	.	PUNCT
ejpam-7065	217	4	for	for	ADP
ejpam-7065	217	5	ρ	ρ	PROPN
ejpam-7065	217	6	∈	∈	PROPN
ejpam-7065	217	7	c∗	c∗	NOUN
ejpam-7065	217	8	and	and	CCONJ
ejpam-7065	217	9	β	β	X
ejpam-7065	217	10	∈	∈	PROPN
ejpam-7065	218	1	[	[	X
ejpam-7065	218	2	0	0	NUM
ejpam-7065	218	3	,	,	PUNCT
ejpam-7065	218	4	1	1	NUM
ejpam-7065	218	5	]	]	PUNCT
ejpam-7065	218	6	,	,	PUNCT
ejpam-7065	218	7	let	let	VERB
ejpam-7065	218	8	f	f	PROPN
ejpam-7065	218	9	∈	∈	PROPN
ejpam-7065	218	10	slm∑(β	slm∑(β	VERB
ejpam-7065	218	11	,	,	PUNCT
ejpam-7065	218	12	ρ	ρ	PROPN
ejpam-7065	218	13	;	;	PUNCT
ejpam-7065	218	14	q	q	NOUN
ejpam-7065	218	15	)	)	PUNCT
ejpam-7065	218	16	.	.	PUNCT
ejpam-7065	219	1	then	then	ADV
ejpam-7065	219	2	∣∣α3	∣∣α3	PROPN
ejpam-7065	219	3	−	−	PROPN
ejpam-7065	219	4	µα2	µα2	PROPN
ejpam-7065	219	5	2	2	NUM
ejpam-7065	219	6	∣∣	∣∣	X
ejpam-7065	219	7	≤	≤	X
ejpam-7065	219	8			PUNCT
ejpam-7065	220	1	|ρ||ϑq	|ρ||ϑq	PROPN
ejpam-7065	220	2	|	|	NOUN
ejpam-7065	220	3	k	k	PROPN
ejpam-7065	220	4	,	,	PUNCT
ejpam-7065	220	5	∣∣1−	∣∣1−	PROPN
ejpam-7065	220	6	µ	µ	X
ejpam-7065	220	7	∣∣	∣∣	NUM
ejpam-7065	220	8	≤	≤	NUM
ejpam-7065	220	9	∣∣ρϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ρϑq(k−x)+(1−(2q+1)ϑq)c	NOUN
ejpam-7065	220	10	∣∣	∣∣	X
ejpam-7065	220	11	|ρ||ϑq	|ρ||ϑq	PROPN
ejpam-7065	220	12	|k	|k	X
ejpam-7065	220	13	|1−µ||ρ|2|ϑq	|1−µ||ρ|2|ϑq	PROPN
ejpam-7065	220	14	|2∣∣(k−x)ρϑq+(1−(2q+1)ϑq)c	|2∣∣(k−x)ρϑq+(1−(2q+1)ϑq)c	PROPN
ejpam-7065	220	15	∣∣	∣∣	NUM
ejpam-7065	220	16	,	,	PUNCT
ejpam-7065	220	17	∣∣1−	∣∣1−	PROPN
ejpam-7065	220	18	µ	µ	PRON
ejpam-7065	220	19	∣∣	∣∣	NUM
ejpam-7065	220	20	≥	≥	NOUN
ejpam-7065	220	21	∣∣ρϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ρϑq(k−x)+(1−(2q+1)ϑq)c	NOUN
ejpam-7065	220	22	∣∣	∣∣	X
ejpam-7065	220	23	|ρ||ϑq	|ρ||ϑq	ADJ
ejpam-7065	220	24	|k	|k	X
ejpam-7065	220	25	(	(	PUNCT
ejpam-7065	220	26	41	41	NUM
ejpam-7065	220	27	)	)	PUNCT
ejpam-7065	220	28	where	where	SCONJ
ejpam-7065	220	29	k	k	NOUN
ejpam-7065	220	30	,	,	PUNCT
ejpam-7065	220	31	x	x	PROPN
ejpam-7065	220	32	,	,	PUNCT
ejpam-7065	220	33	c	c	PROPN
ejpam-7065	220	34	are	be	AUX
ejpam-7065	220	35	given	give	VERB
ejpam-7065	220	36	by	by	ADP
ejpam-7065	220	37	(	(	PUNCT
ejpam-7065	220	38	19	19	NUM
ejpam-7065	220	39	)	)	PUNCT
ejpam-7065	220	40	,	,	PUNCT
ejpam-7065	220	41	(	(	PUNCT
ejpam-7065	220	42	20	20	NUM
ejpam-7065	220	43	)	)	PUNCT
ejpam-7065	220	44	and	and	CCONJ
ejpam-7065	220	45	(	(	PUNCT
ejpam-7065	220	46	21	21	NUM
ejpam-7065	220	47	)	)	PUNCT
ejpam-7065	220	48	,	,	PUNCT
ejpam-7065	220	49	respectively	respectively	ADV
ejpam-7065	220	50	.	.	PUNCT
ejpam-7065	221	1	a.	a.	PROPN
ejpam-7065	221	2	alsoboh	alsoboh	PROPN
ejpam-7065	221	3	et	et	PROPN
ejpam-7065	221	4	al	al	PROPN
ejpam-7065	221	5	.	.	PUNCT
ejpam-7065	221	6	/	/	SYM
ejpam-7065	221	7	eur	eur	PROPN
ejpam-7065	221	8	.	.	PUNCT
ejpam-7065	222	1	j.	j.	PROPN
ejpam-7065	222	2	pure	pure	PROPN
ejpam-7065	222	3	appl	appl	PROPN
ejpam-7065	222	4	.	.	PROPN
ejpam-7065	222	5	math	math	PROPN
ejpam-7065	222	6	,	,	PUNCT
ejpam-7065	222	7	18	18	NUM
ejpam-7065	222	8	(	(	PUNCT
ejpam-7065	222	9	4	4	NUM
ejpam-7065	222	10	)	)	PUNCT
ejpam-7065	222	11	(	(	PUNCT
ejpam-7065	222	12	2025	2025	NUM
ejpam-7065	222	13	)	)	PUNCT
ejpam-7065	222	14	,	,	PUNCT
ejpam-7065	222	15	7065	7065	NUM
ejpam-7065	222	16	11	11	NUM
ejpam-7065	222	17	of	of	ADP
ejpam-7065	222	18	16	16	NUM
ejpam-7065	222	19	proof	proof	NOUN
ejpam-7065	222	20	.	.	PUNCT
ejpam-7065	223	1	let	let	VERB
ejpam-7065	223	2	f	f	PROPN
ejpam-7065	223	3	∈	∈	PROPN
ejpam-7065	223	4	slm∑(β	slm∑(β	VERB
ejpam-7065	223	5	,	,	PUNCT
ejpam-7065	223	6	ρ	ρ	PROPN
ejpam-7065	223	7	;	;	PUNCT
ejpam-7065	223	8	q	q	X
ejpam-7065	223	9	)	)	PUNCT
ejpam-7065	223	10	,	,	PUNCT
ejpam-7065	223	11	from	from	ADP
ejpam-7065	223	12	(	(	PUNCT
ejpam-7065	223	13	36	36	NUM
ejpam-7065	223	14	)	)	PUNCT
ejpam-7065	223	15	and	and	CCONJ
ejpam-7065	223	16	(	(	PUNCT
ejpam-7065	223	17	39	39	NUM
ejpam-7065	223	18	)	)	PUNCT
ejpam-7065	223	19	we	we	PRON
ejpam-7065	223	20	have	have	VERB
ejpam-7065	223	21	α3	α3	ADJ
ejpam-7065	223	22	−	−	PROPN
ejpam-7065	223	23	µα2	µα2	PROPN
ejpam-7065	223	24	2	2	NUM
ejpam-7065	223	25	=	=	SYM
ejpam-7065	223	26	(	(	PUNCT
ejpam-7065	223	27	1−	1−	NUM
ejpam-7065	223	28	µ)ρ2ϑ2q	µ)ρ2ϑ2q	NOUN
ejpam-7065	223	29	4	4	NUM
ejpam-7065	223	30	(	(	PUNCT
ejpam-7065	223	31	(	(	PUNCT
ejpam-7065	223	32	k	k	X
ejpam-7065	223	33	−x	−x	NOUN
ejpam-7065	223	34	)	)	PUNCT
ejpam-7065	224	1	ρϑq	ρϑq	VERB
ejpam-7065	225	1	+	+	CCONJ
ejpam-7065	225	2	(	(	PUNCT
ejpam-7065	225	3	1−	1−	NUM
ejpam-7065	225	4	(	(	PUNCT
ejpam-7065	225	5	2q	2q	NOUN
ejpam-7065	225	6	+	+	X
ejpam-7065	225	7	1)ϑq	1)ϑq	NUM
ejpam-7065	225	8	)	)	PUNCT
ejpam-7065	225	9	c	c	NOUN
ejpam-7065	225	10	)	)	PUNCT
ejpam-7065	225	11	(	(	PUNCT
ejpam-7065	225	12	ℓ2	ℓ2	NOUN
ejpam-7065	225	13	+	+	CCONJ
ejpam-7065	225	14	τ2	τ2	NOUN
ejpam-7065	225	15	)	)	PUNCT
ejpam-7065	225	16	+	+	CCONJ
ejpam-7065	225	17	ρϑq	ρϑq	VERB
ejpam-7065	225	18	4k	4k	X
ejpam-7065	225	19	(	(	PUNCT
ejpam-7065	225	20	ℓ2	ℓ2	PROPN
ejpam-7065	225	21	−	−	PROPN
ejpam-7065	225	22	τ2	τ2	NOUN
ejpam-7065	225	23	)	)	PUNCT
ejpam-7065	225	24	=	=	SYM
ejpam-7065	226	1	(	(	PUNCT
ejpam-7065	226	2	k	k	X
ejpam-7065	226	3	(	(	PUNCT
ejpam-7065	226	4	µ	µ	NOUN
ejpam-7065	226	5	)	)	PUNCT
ejpam-7065	226	6	+	+	CCONJ
ejpam-7065	226	7	ρϑq	ρϑq	VERB
ejpam-7065	226	8	4k	4k	X
ejpam-7065	226	9	)	)	PUNCT
ejpam-7065	226	10	ℓ2	ℓ2	NOUN
ejpam-7065	226	11	+	+	CCONJ
ejpam-7065	226	12	(	(	PUNCT
ejpam-7065	226	13	k	k	X
ejpam-7065	226	14	(	(	PUNCT
ejpam-7065	226	15	µ)−	µ)−	VERB
ejpam-7065	226	16	ρϑq	ρϑq	VERB
ejpam-7065	226	17	4k	4k	X
ejpam-7065	226	18	)	)	PUNCT
ejpam-7065	226	19	τ2	τ2	PROPN
ejpam-7065	226	20	,	,	PUNCT
ejpam-7065	226	21	(	(	PUNCT
ejpam-7065	226	22	42	42	NUM
ejpam-7065	226	23	)	)	PUNCT
ejpam-7065	227	1	where	where	SCONJ
ejpam-7065	227	2	k	k	PROPN
ejpam-7065	227	3	(	(	PUNCT
ejpam-7065	227	4	µ	µ	NOUN
ejpam-7065	227	5	)	)	PUNCT
ejpam-7065	227	6	=	=	PUNCT
ejpam-7065	227	7	(	(	PUNCT
ejpam-7065	227	8	1−	1−	NUM
ejpam-7065	227	9	µ)ρ2ϑ2q	µ)ρ2ϑ2q	NOUN
ejpam-7065	227	10	4	4	NUM
ejpam-7065	227	11	(	(	PUNCT
ejpam-7065	227	12	(	(	PUNCT
ejpam-7065	227	13	k	k	X
ejpam-7065	227	14	−x	−x	NOUN
ejpam-7065	227	15	)	)	PUNCT
ejpam-7065	227	16	ρϑq	ρϑq	VERB
ejpam-7065	228	1	+	+	CCONJ
ejpam-7065	228	2	(	(	PUNCT
ejpam-7065	228	3	1−	1−	NUM
ejpam-7065	228	4	(	(	PUNCT
ejpam-7065	228	5	2q	2q	NOUN
ejpam-7065	228	6	+	+	X
ejpam-7065	228	7	1)ϑq	1)ϑq	NUM
ejpam-7065	228	8	)	)	PUNCT
ejpam-7065	228	9	c	c	NOUN
ejpam-7065	228	10	)	)	PUNCT
ejpam-7065	228	11	.	.	PUNCT
ejpam-7065	229	1	(	(	PUNCT
ejpam-7065	229	2	43	43	NUM
ejpam-7065	229	3	)	)	PUNCT
ejpam-7065	229	4	then	then	ADV
ejpam-7065	229	5	,	,	PUNCT
ejpam-7065	229	6	taking	take	VERB
ejpam-7065	229	7	the	the	DET
ejpam-7065	229	8	modulus	modulus	NOUN
ejpam-7065	229	9	of	of	ADP
ejpam-7065	229	10	(	(	PUNCT
ejpam-7065	229	11	42	42	NUM
ejpam-7065	229	12	)	)	PUNCT
ejpam-7065	229	13	,	,	PUNCT
ejpam-7065	229	14	we	we	PRON
ejpam-7065	229	15	conclude	conclude	VERB
ejpam-7065	229	16	that	that	DET
ejpam-7065	229	17	∣∣α3	∣∣α3	PROPN
ejpam-7065	230	1	−	−	PROPN
ejpam-7065	230	2	µα2	µα2	PROPN
ejpam-7065	230	3	2	2	NUM
ejpam-7065	230	4	∣∣	∣∣	NUM
ejpam-7065	230	5	≤	≤	NUM
ejpam-7065	230	6			PUNCT
ejpam-7065	231	1	|ρ||ϑq	|ρ||ϑq	PROPN
ejpam-7065	231	2	|	|	NOUN
ejpam-7065	231	3	k	k	NOUN
ejpam-7065	231	4	,	,	PUNCT
ejpam-7065	231	5	0	0	NUM
ejpam-7065	231	6	≤	≤	NUM
ejpam-7065	231	7	∣∣k	∣∣k	PROPN
ejpam-7065	231	8	(	(	PUNCT
ejpam-7065	231	9	µ	µ	NOUN
ejpam-7065	231	10	)	)	PUNCT
ejpam-7065	231	11	∣∣	∣∣	X
ejpam-7065	231	12	≤	≤	PUNCT
ejpam-7065	232	1	|ρ||ϑq	|ρ||ϑq	ADP
ejpam-7065	232	2	|	|	NOUN
ejpam-7065	232	3	4k	4k	NUM
ejpam-7065	232	4	4	4	NUM
ejpam-7065	232	5	∣∣k	∣∣k	PROPN
ejpam-7065	232	6	(	(	PUNCT
ejpam-7065	232	7	µ	µ	NOUN
ejpam-7065	232	8	)	)	PUNCT
ejpam-7065	232	9	∣∣	∣∣	NOUN
ejpam-7065	232	10	,	,	PUNCT
ejpam-7065	232	11	∣∣k	∣∣k	PROPN
ejpam-7065	232	12	(	(	PUNCT
ejpam-7065	232	13	µ	µ	NOUN
ejpam-7065	232	14	)	)	PUNCT
ejpam-7065	232	15	∣∣	∣∣	X
ejpam-7065	232	16	≥	≥	X
ejpam-7065	232	17	|ρ||ϑq	|ρ||ϑq	X
ejpam-7065	232	18	|	|	NOUN
ejpam-7065	232	19	4k	4k	NOUN
ejpam-7065	232	20	if	if	SCONJ
ejpam-7065	232	21	ρ	ρ	PROPN
ejpam-7065	232	22	=	=	SYM
ejpam-7065	232	23	1	1	NUM
ejpam-7065	232	24	,	,	PUNCT
ejpam-7065	232	25	we	we	PRON
ejpam-7065	232	26	obtain	obtain	VERB
ejpam-7065	232	27	the	the	DET
ejpam-7065	232	28	following	follow	VERB
ejpam-7065	232	29	results	result	NOUN
ejpam-7065	232	30	for	for	ADP
ejpam-7065	232	31	the	the	DET
ejpam-7065	232	32	class	class	NOUN
ejpam-7065	232	33	slm∑(β	slm∑(β	VERB
ejpam-7065	232	34	;	;	PUNCT
ejpam-7065	232	35	q	q	X
ejpam-7065	232	36	)	)	PUNCT
ejpam-7065	232	37	defined	define	VERB
ejpam-7065	232	38	in	in	ADP
ejpam-7065	232	39	example	example	NOUN
ejpam-7065	232	40	(	(	PUNCT
ejpam-7065	232	41	1	1	NUM
ejpam-7065	232	42	)	)	PUNCT
ejpam-7065	232	43	corollary	corollary	ADJ
ejpam-7065	232	44	1	1	NUM
ejpam-7065	232	45	.	.	PUNCT
ejpam-7065	233	1	for	for	ADP
ejpam-7065	233	2	ρ	ρ	PROPN
ejpam-7065	233	3	∈	∈	PROPN
ejpam-7065	233	4	c∗	c∗	NOUN
ejpam-7065	233	5	and	and	CCONJ
ejpam-7065	233	6	β	β	X
ejpam-7065	233	7	∈	∈	PROPN
ejpam-7065	234	1	[	[	X
ejpam-7065	234	2	0	0	NUM
ejpam-7065	234	3	,	,	PUNCT
ejpam-7065	234	4	1	1	NUM
ejpam-7065	234	5	]	]	PUNCT
ejpam-7065	234	6	,	,	PUNCT
ejpam-7065	234	7	let	let	VERB
ejpam-7065	234	8	f	f	PROPN
ejpam-7065	234	9	∈	∈	PROPN
ejpam-7065	234	10	slm∑(β	slm∑(β	VERB
ejpam-7065	234	11	,	,	PUNCT
ejpam-7065	234	12	ρ	ρ	PROPN
ejpam-7065	234	13	;	;	PUNCT
ejpam-7065	234	14	q	q	NOUN
ejpam-7065	234	15	)	)	PUNCT
ejpam-7065	234	16	.	.	PUNCT
ejpam-7065	235	1	then	then	ADV
ejpam-7065	235	2	∣∣α2	∣∣α2	VERB
ejpam-7065	235	3	∣∣	∣∣	NUM
ejpam-7065	235	4	≤	≤	X
ejpam-7065	235	5	|ϑq|√∣∣∣ϑq(k	|ϑq|√∣∣∣ϑq(k	NUM
ejpam-7065	235	6	−x	−x	NOUN
ejpam-7065	235	7	)	)	PUNCT
ejpam-7065	236	1	+	+	CCONJ
ejpam-7065	236	2	(	(	PUNCT
ejpam-7065	236	3	1−	1−	NUM
ejpam-7065	236	4	(	(	PUNCT
ejpam-7065	236	5	2q	2q	NOUN
ejpam-7065	236	6	+	+	X
ejpam-7065	237	1	1)ϑq	1)ϑq	NUM
ejpam-7065	237	2	)	)	PUNCT
ejpam-7065	237	3	c	c	NOUN
ejpam-7065	237	4	∣∣∣	∣∣∣	NOUN
ejpam-7065	237	5	,	,	PUNCT
ejpam-7065	237	6	∣∣α3	∣∣α3	PROPN
ejpam-7065	237	7	∣∣	∣∣	PROPN
ejpam-7065	237	8	≤	≤	NUM
ejpam-7065	237	9	|ϑq|	|ϑq|	VERB
ejpam-7065	237	10	{	{	PUNCT
ejpam-7065	237	11	∣∣(k	∣∣(k	PUNCT
ejpam-7065	237	12	−x	−x	PROPN
ejpam-7065	237	13	)	)	PUNCT
ejpam-7065	238	1	ϑq	ϑq	VERB
ejpam-7065	239	1	+	+	X
ejpam-7065	239	2	(	(	PUNCT
ejpam-7065	239	3	1−	1−	NUM
ejpam-7065	239	4	(	(	PUNCT
ejpam-7065	239	5	2q	2q	NOUN
ejpam-7065	239	6	+	+	X
ejpam-7065	239	7	1)ϑq	1)ϑq	NUM
ejpam-7065	239	8	)	)	PUNCT
ejpam-7065	239	9	c	c	PROPN
ejpam-7065	239	10	∣∣+	∣∣+	PROPN
ejpam-7065	239	11	|ϑq|k	|ϑq|k	PUNCT
ejpam-7065	239	12	}	}	PUNCT
ejpam-7065	239	13	k	k	X
ejpam-7065	239	14	∣∣(k	∣∣(k	X
ejpam-7065	239	15	−x	−x	PROPN
ejpam-7065	239	16	)	)	PUNCT
ejpam-7065	240	1	ϑq	ϑq	VERB
ejpam-7065	241	1	+	+	X
ejpam-7065	241	2	(	(	PUNCT
ejpam-7065	241	3	1−	1−	NUM
ejpam-7065	241	4	(	(	PUNCT
ejpam-7065	241	5	2q	2q	NOUN
ejpam-7065	241	6	+	+	X
ejpam-7065	241	7	1)ϑq	1)ϑq	NUM
ejpam-7065	242	1	)	)	PUNCT
ejpam-7065	242	2	c	c	NOUN
ejpam-7065	242	3	∣∣	∣∣	NUM
ejpam-7065	242	4	,	,	PUNCT
ejpam-7065	242	5	and	and	CCONJ
ejpam-7065	242	6	∣∣α3	∣∣α3	NOUN
ejpam-7065	242	7	−	−	PROPN
ejpam-7065	242	8	µα2	µα2	PROPN
ejpam-7065	242	9	2	2	NUM
ejpam-7065	242	10	∣∣	∣∣	PROPN
ejpam-7065	242	11	≤	≤	NUM
ejpam-7065	242	12			PUNCT
ejpam-7065	242	13	|ϑq	|ϑq	PROPN
ejpam-7065	242	14	|	|	ADV
ejpam-7065	242	15	k	k	PROPN
ejpam-7065	242	16	,	,	PUNCT
ejpam-7065	242	17	∣∣1−	∣∣1−	PROPN
ejpam-7065	242	18	µ	µ	X
ejpam-7065	242	19	∣∣	∣∣	X
ejpam-7065	242	20	≤	≤	NUM
ejpam-7065	242	21	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	NOUN
ejpam-7065	242	22	∣∣	∣∣	NUM
ejpam-7065	242	23	|ϑq	|ϑq	NUM
ejpam-7065	242	24	|k	|k	NOUN
ejpam-7065	242	25	|1−µ||ϑq	|1−µ||ϑq	SYM
ejpam-7065	242	26	|2∣∣(k−x)ϑq+(1−(2q+1)ϑq)c	|2∣∣(k−x)ϑq+(1−(2q+1)ϑq)c	PROPN
ejpam-7065	242	27	∣∣	∣∣	NUM
ejpam-7065	242	28	,	,	PUNCT
ejpam-7065	242	29	∣∣1−	∣∣1−	PROPN
ejpam-7065	242	30	µ	µ	PRON
ejpam-7065	242	31	∣∣	∣∣	NUM
ejpam-7065	242	32	≥	≥	NOUN
ejpam-7065	242	33	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	∣∣ϑq(k−x)+(1−(2q+1)ϑq)c	NOUN
ejpam-7065	242	34	∣∣	∣∣	NUM
ejpam-7065	242	35	|ϑq	|ϑq	NUM
ejpam-7065	242	36	|k	|k	NOUN
ejpam-7065	242	37	where	where	SCONJ
ejpam-7065	242	38	k	k	NOUN
ejpam-7065	242	39	,	,	PUNCT
ejpam-7065	242	40	x	x	X
ejpam-7065	242	41	,	,	PUNCT
ejpam-7065	242	42	c	c	PROPN
ejpam-7065	242	43	is	be	AUX
ejpam-7065	242	44	given	give	VERB
ejpam-7065	242	45	by	by	ADP
ejpam-7065	242	46	(	(	PUNCT
ejpam-7065	242	47	19	19	NUM
ejpam-7065	242	48	)	)	PUNCT
ejpam-7065	242	49	,	,	PUNCT
ejpam-7065	242	50	(	(	PUNCT
ejpam-7065	242	51	20	20	NUM
ejpam-7065	242	52	)	)	PUNCT
ejpam-7065	242	53	,	,	PUNCT
ejpam-7065	242	54	and	and	CCONJ
ejpam-7065	242	55	(	(	PUNCT
ejpam-7065	242	56	21	21	NUM
ejpam-7065	242	57	)	)	PUNCT
ejpam-7065	242	58	,	,	PUNCT
ejpam-7065	242	59	respectively	respectively	ADV
ejpam-7065	242	60	.	.	PUNCT
ejpam-7065	243	1	if	if	SCONJ
ejpam-7065	243	2	β	β	X
ejpam-7065	243	3	=	=	SYM
ejpam-7065	243	4	0	0	NUM
ejpam-7065	243	5	and	and	CCONJ
ejpam-7065	243	6	ρ	ρ	NUM
ejpam-7065	244	1	=	=	SYM
ejpam-7065	244	2	1	1	NUM
ejpam-7065	244	3	,	,	PUNCT
ejpam-7065	244	4	we	we	PRON
ejpam-7065	244	5	obtain	obtain	VERB
ejpam-7065	244	6	the	the	DET
ejpam-7065	244	7	following	follow	VERB
ejpam-7065	244	8	results	result	NOUN
ejpam-7065	244	9	for	for	ADP
ejpam-7065	244	10	the	the	DET
ejpam-7065	244	11	class	class	NOUN
ejpam-7065	244	12	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-7065	244	13	;	;	PUNCT
ejpam-7065	244	14	q	q	X
ejpam-7065	244	15	)	)	PUNCT
ejpam-7065	244	16	)	)	PUNCT
ejpam-7065	245	1	defined	define	VERB
ejpam-7065	245	2	in	in	ADP
ejpam-7065	245	3	example	example	NOUN
ejpam-7065	245	4	(	(	PUNCT
ejpam-7065	245	5	2	2	NUM
ejpam-7065	245	6	)	)	PUNCT
ejpam-7065	245	7	corollary	corollary	ADJ
ejpam-7065	245	8	2	2	NUM
ejpam-7065	245	9	.	.	PUNCT
ejpam-7065	246	1	[	[	X
ejpam-7065	246	2	19	19	NUM
ejpam-7065	246	3	]	]	PUNCT
ejpam-7065	246	4	let	let	VERB
ejpam-7065	246	5	f	f	NOUN
ejpam-7065	246	6	given	give	VERB
ejpam-7065	246	7	by	by	ADP
ejpam-7065	246	8	(	(	PUNCT
ejpam-7065	246	9	1	1	X
ejpam-7065	246	10	)	)	PUNCT
ejpam-7065	246	11	be	be	AUX
ejpam-7065	246	12	in	in	ADP
ejpam-7065	246	13	the	the	DET
ejpam-7065	246	14	class	class	NOUN
ejpam-7065	246	15	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-7065	246	16	)	)	PUNCT
ejpam-7065	246	17	;	;	PUNCT
ejpam-7065	246	18	q	q	X
ejpam-7065	246	19	)	)	PUNCT
ejpam-7065	246	20	.	.	PUNCT
ejpam-7065	247	1	then	then	ADV
ejpam-7065	247	2	∣∣α2	∣∣α2	VERB
ejpam-7065	247	3	∣∣	∣∣	ADJ
ejpam-7065	247	4	≤	≤	PUNCT
ejpam-7065	247	5	∣∣ϑq∣∣	∣∣ϑq∣∣	ADP
ejpam-7065	247	6	q	q	PUNCT
ejpam-7065	247	7	√	√	PROPN
ejpam-7065	247	8	1−	1−	NUM
ejpam-7065	247	9	2qϑq	2qϑq	NUM
ejpam-7065	247	10	.	.	PUNCT
ejpam-7065	248	1	(	(	PUNCT
ejpam-7065	248	2	44	44	NUM
ejpam-7065	248	3	)	)	PUNCT
ejpam-7065	248	4	a.	a.	NOUN
ejpam-7065	248	5	alsoboh	alsoboh	NOUN
ejpam-7065	248	6	et	et	PROPN
ejpam-7065	248	7	al	al	PROPN
ejpam-7065	248	8	.	.	PUNCT
ejpam-7065	248	9	/	/	SYM
ejpam-7065	248	10	eur	eur	PROPN
ejpam-7065	248	11	.	.	PUNCT
ejpam-7065	249	1	j.	j.	PROPN
ejpam-7065	249	2	pure	pure	PROPN
ejpam-7065	249	3	appl	appl	PROPN
ejpam-7065	249	4	.	.	PROPN
ejpam-7065	249	5	math	math	PROPN
ejpam-7065	249	6	,	,	PUNCT
ejpam-7065	249	7	18	18	NUM
ejpam-7065	249	8	(	(	PUNCT
ejpam-7065	249	9	4	4	NUM
ejpam-7065	249	10	)	)	PUNCT
ejpam-7065	249	11	(	(	PUNCT
ejpam-7065	249	12	2025	2025	NUM
ejpam-7065	249	13	)	)	PUNCT
ejpam-7065	249	14	,	,	PUNCT
ejpam-7065	249	15	7065	7065	NUM
ejpam-7065	249	16	12	12	NUM
ejpam-7065	249	17	of	of	ADP
ejpam-7065	249	18	16	16	NUM
ejpam-7065	249	19	∣∣α3	∣∣α3	NOUN
ejpam-7065	249	20	∣∣	∣∣	NUM
ejpam-7065	249	21	≤	≤	NUM
ejpam-7065	249	22	∣∣ϑq∣∣(q	∣∣ϑq∣∣(q	NOUN
ejpam-7065	249	23	−	−	PROPN
ejpam-7065	249	24	(	(	PUNCT
ejpam-7065	249	25	1	1	NUM
ejpam-7065	249	26	+	+	CCONJ
ejpam-7065	249	27	q	q	X
ejpam-7065	250	1	+	+	NUM
ejpam-7065	250	2	2q2)ϑq	2q2)ϑq	NUM
ejpam-7065	250	3	)	)	PUNCT
ejpam-7065	250	4	q2(1	q2(1	NOUN
ejpam-7065	250	5	+	+	CCONJ
ejpam-7065	250	6	q	q	X
ejpam-7065	250	7	)	)	PUNCT
ejpam-7065	250	8	(	(	PUNCT
ejpam-7065	250	9	1−	1−	NUM
ejpam-7065	250	10	2qϑq	2qϑq	NUM
ejpam-7065	250	11	)	)	PUNCT
ejpam-7065	250	12	.	.	PUNCT
ejpam-7065	251	1	(	(	PUNCT
ejpam-7065	251	2	45	45	NUM
ejpam-7065	251	3	)	)	PUNCT
ejpam-7065	251	4	∣∣α3	∣∣α3	NOUN
ejpam-7065	251	5	−	−	PROPN
ejpam-7065	251	6	µα2	µα2	PROPN
ejpam-7065	251	7	2	2	NUM
ejpam-7065	251	8	∣∣	∣∣	PROPN
ejpam-7065	251	9	≤	≤	NUM
ejpam-7065	251	10			NUM
ejpam-7065	251	11	|ϑq	|ϑq	NUM
ejpam-7065	251	12	|	|	ADV
ejpam-7065	251	13	q(1+q	q(1+q	PROPN
ejpam-7065	251	14	)	)	PUNCT
ejpam-7065	251	15	,	,	PUNCT
ejpam-7065	251	16	∣∣1−	∣∣1−	PROPN
ejpam-7065	251	17	µ	µ	X
ejpam-7065	251	18	∣∣	∣∣	X
ejpam-7065	251	19	≤	≤	NUM
ejpam-7065	251	20	q	q	PUNCT
ejpam-7065	252	1	(	(	PUNCT
ejpam-7065	252	2	1−2qϑq	1−2qϑq	NUM
ejpam-7065	252	3	)	)	PUNCT
ejpam-7065	252	4	(	(	PUNCT
ejpam-7065	252	5	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-7065	252	6	|	|	ADV
ejpam-7065	252	7	|1−µ|ϑ2	|1−µ|ϑ2	VERB
ejpam-7065	252	8	q	q	NOUN
ejpam-7065	252	9	q2	q2	NOUN
ejpam-7065	252	10	(	(	PUNCT
ejpam-7065	252	11	1−2qϑq	1−2qϑq	NUM
ejpam-7065	252	12	)	)	PUNCT
ejpam-7065	252	13	,	,	PUNCT
ejpam-7065	253	1	∣∣1−	∣∣1−	PROPN
ejpam-7065	253	2	µ	µ	X
ejpam-7065	253	3	∣∣	∣∣	NUM
ejpam-7065	253	4	≥	≥	X
ejpam-7065	253	5	q	q	PROPN
ejpam-7065	254	1	(	(	PUNCT
ejpam-7065	254	2	1−2qϑq	1−2qϑq	NUM
ejpam-7065	254	3	)	)	PUNCT
ejpam-7065	255	1	(	(	PUNCT
ejpam-7065	255	2	1+q)|ϑq	1+q)|ϑq	NUM
ejpam-7065	255	3	|	|	INTJ
ejpam-7065	255	4	(	(	PUNCT
ejpam-7065	255	5	46	46	NUM
ejpam-7065	255	6	)	)	PUNCT
ejpam-7065	255	7	if	if	SCONJ
ejpam-7065	255	8	β	β	NOUN
ejpam-7065	255	9	=	=	SYM
ejpam-7065	255	10	1	1	NUM
ejpam-7065	255	11	and	and	CCONJ
ejpam-7065	255	12	ρ	ρ	NUM
ejpam-7065	255	13	=	=	SYM
ejpam-7065	255	14	1	1	NUM
ejpam-7065	255	15	,	,	PUNCT
ejpam-7065	255	16	we	we	PRON
ejpam-7065	255	17	obtain	obtain	VERB
ejpam-7065	255	18	the	the	DET
ejpam-7065	255	19	following	follow	VERB
ejpam-7065	255	20	results	result	NOUN
ejpam-7065	255	21	for	for	ADP
ejpam-7065	255	22	the	the	DET
ejpam-7065	255	23	class	class	NOUN
ejpam-7065	255	24	kl∑(υ(z	kl∑(υ(z	NOUN
ejpam-7065	255	25	;	;	PUNCT
ejpam-7065	255	26	q	q	X
ejpam-7065	255	27	)	)	PUNCT
ejpam-7065	255	28	)	)	PUNCT
ejpam-7065	256	1	defined	define	VERB
ejpam-7065	256	2	in	in	ADP
ejpam-7065	256	3	example	example	NOUN
ejpam-7065	256	4	(	(	PUNCT
ejpam-7065	256	5	3	3	NUM
ejpam-7065	256	6	)	)	PUNCT
ejpam-7065	256	7	corollary	corollary	ADJ
ejpam-7065	256	8	3	3	X
ejpam-7065	256	9	.	.	PUNCT
ejpam-7065	257	1	let	let	VERB
ejpam-7065	257	2	f	f	NOUN
ejpam-7065	257	3	given	give	VERB
ejpam-7065	257	4	by	by	ADP
ejpam-7065	257	5	(	(	PUNCT
ejpam-7065	257	6	1	1	X
ejpam-7065	257	7	)	)	PUNCT
ejpam-7065	257	8	be	be	AUX
ejpam-7065	257	9	in	in	ADP
ejpam-7065	257	10	the	the	DET
ejpam-7065	257	11	class	class	NOUN
ejpam-7065	257	12	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-7065	257	13	)	)	PUNCT
ejpam-7065	257	14	;	;	PUNCT
ejpam-7065	257	15	q	q	X
ejpam-7065	257	16	)	)	PUNCT
ejpam-7065	257	17	.	.	PUNCT
ejpam-7065	258	1	then	then	ADV
ejpam-7065	258	2	∣∣α2	∣∣α2	VERB
ejpam-7065	258	3	∣∣	∣∣	NUM
ejpam-7065	258	4	≤	≤	X
ejpam-7065	258	5	∣∣ϑq∣∣√	∣∣ϑq∣∣√	ADP
ejpam-7065	258	6	d2cq	d2cq	PROPN
ejpam-7065	258	7	(	(	PUNCT
ejpam-7065	258	8	d2cq	d2cq	PROPN
ejpam-7065	258	9	−	−	PROPN
ejpam-7065	258	10	(	(	PUNCT
ejpam-7065	258	11	d3cq	d3cq	PUNCT
ejpam-7065	259	1	+	+	NUM
ejpam-7065	259	2	2q	2q	NUM
ejpam-7065	259	3	)	)	PUNCT
ejpam-7065	259	4	ϑq	ϑq	X
ejpam-7065	259	5	)	)	PUNCT
ejpam-7065	259	6	∣∣α3	∣∣α3	PROPN
ejpam-7065	259	7	∣∣	∣∣	PROPN
ejpam-7065	259	8	≤	≤	PROPN
ejpam-7065	259	9	∣∣ϑq∣∣(d2cq	∣∣ϑq∣∣(d2cq	X
ejpam-7065	260	1	−	−	PROPN
ejpam-7065	260	2	2(d3cq	2(d3cq	NOUN
ejpam-7065	260	3	+	+	CCONJ
ejpam-7065	261	1	q)ϑq	q)ϑq	PROPN
ejpam-7065	261	2	)	)	PUNCT
ejpam-7065	261	3	d2cqd3cq	d2cqd3cq	PROPN
ejpam-7065	261	4	(	(	PUNCT
ejpam-7065	261	5	d2cq	d2cq	NOUN
ejpam-7065	261	6	−	−	PROPN
ejpam-7065	261	7	(	(	PUNCT
ejpam-7065	261	8	d3cq	d3cq	PUNCT
ejpam-7065	261	9	+	+	NUM
ejpam-7065	261	10	2q	2q	NUM
ejpam-7065	261	11	)	)	PUNCT
ejpam-7065	261	12	ϑq	ϑq	ADP
ejpam-7065	261	13	)	)	PUNCT
ejpam-7065	261	14	,	,	PUNCT
ejpam-7065	261	15	and	and	CCONJ
ejpam-7065	261	16	∣∣α3	∣∣α3	NOUN
ejpam-7065	261	17	−£α2	−£α2	PROPN
ejpam-7065	261	18	2	2	NUM
ejpam-7065	261	19	∣∣	∣∣	X
ejpam-7065	261	20	≤	≤	PUNCT
ejpam-7065	261	21			PROPN
ejpam-7065	261	22	|ϑq	|ϑq	NUM
ejpam-7065	261	23	|	|	ADV
ejpam-7065	261	24	⌈2⌋q	⌈2⌋q	PRON
ejpam-7065	261	25	⌈3⌋q	⌈3⌋q	NUM
ejpam-7065	261	26	,	,	PUNCT
ejpam-7065	261	27	∣∣1−£	∣∣1−£	PROPN
ejpam-7065	261	28	∣∣	∣∣	NUM
ejpam-7065	261	29	≤	≤	NUM
ejpam-7065	261	30	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-7065	261	31	(	(	PUNCT
ejpam-7065	261	32	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-7065	261	33	)	)	PUNCT
ejpam-7065	261	34	ϑq	ϑq	VERB
ejpam-7065	261	35	⌈3⌋q	⌈3⌋q	NUM
ejpam-7065	261	36	|ϑq	|ϑq	NUM
ejpam-7065	261	37	|	|	ADV
ejpam-7065	261	38	|1−£|ϑ2	|1−£|ϑ2	NOUN
ejpam-7065	261	39	q	q	NOUN
ejpam-7065	261	40	⌈2⌋q	⌈2⌋q	PRON
ejpam-7065	261	41	(	(	PUNCT
ejpam-7065	261	42	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-7065	261	43	(	(	PUNCT
ejpam-7065	261	44	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-7065	261	45	)	)	PUNCT
ejpam-7065	261	46	ϑq	ϑq	ADP
ejpam-7065	261	47	)	)	PUNCT
ejpam-7065	261	48	,	,	PUNCT
ejpam-7065	261	49	∣∣1−£	∣∣1−£	PROPN
ejpam-7065	261	50	∣∣	∣∣	NUM
ejpam-7065	261	51	≥	≥	X
ejpam-7065	261	52	⌈2⌋q−	⌈2⌋q−	NUM
ejpam-7065	261	53	(	(	PUNCT
ejpam-7065	261	54	⌈3⌋q+2q	⌈3⌋q+2q	NOUN
ejpam-7065	261	55	)	)	PUNCT
ejpam-7065	261	56	ϑq	ϑq	VERB
ejpam-7065	261	57	⌈3⌋q	⌈3⌋q	NUM
ejpam-7065	261	58	|ϑq	|ϑq	NUM
ejpam-7065	261	59	|	|	ADV
ejpam-7065	261	60	if	if	SCONJ
ejpam-7065	261	61	q	q	PROPN
ejpam-7065	261	62	7→	7→	NUM
ejpam-7065	261	63	1−	1−	NUM
ejpam-7065	261	64	and	and	CCONJ
ejpam-7065	261	65	ρ	ρ	NUM
ejpam-7065	261	66	=	=	SYM
ejpam-7065	261	67	1	1	NUM
ejpam-7065	261	68	,	,	PUNCT
ejpam-7065	261	69	we	we	PRON
ejpam-7065	261	70	obtain	obtain	VERB
ejpam-7065	261	71	the	the	DET
ejpam-7065	261	72	following	follow	VERB
ejpam-7065	261	73	results	result	NOUN
ejpam-7065	261	74	for	for	ADP
ejpam-7065	261	75	the	the	DET
ejpam-7065	261	76	class	class	NOUN
ejpam-7065	261	77	slm∑(β	slm∑(β	VERB
ejpam-7065	261	78	)	)	PUNCT
ejpam-7065	261	79	defined	define	VERB
ejpam-7065	261	80	in	in	ADP
ejpam-7065	261	81	example	example	NOUN
ejpam-7065	261	82	(	(	PUNCT
ejpam-7065	261	83	4	4	NUM
ejpam-7065	261	84	)	)	PUNCT
ejpam-7065	261	85	corollary	corollary	ADJ
ejpam-7065	261	86	4	4	NUM
ejpam-7065	261	87	.	.	PUNCT
ejpam-7065	262	1	for	for	ADP
ejpam-7065	262	2	q	q	PROPN
ejpam-7065	262	3	7→	7→	PROPN
ejpam-7065	262	4	1−	1−	NUM
ejpam-7065	262	5	and	and	CCONJ
ejpam-7065	262	6	ρ	ρ	NUM
ejpam-7065	262	7	=	=	SYM
ejpam-7065	262	8	1	1	NUM
ejpam-7065	262	9	,	,	PUNCT
ejpam-7065	262	10	let	let	VERB
ejpam-7065	262	11	f	f	PROPN
ejpam-7065	262	12	∈	∈	PROPN
ejpam-7065	262	13	slm∑(β	slm∑(β	VERB
ejpam-7065	262	14	)	)	PUNCT
ejpam-7065	262	15	.	.	PUNCT
ejpam-7065	263	1	then	then	ADV
ejpam-7065	263	2	∣∣α2	∣∣α2	VERB
ejpam-7065	263	3	∣∣	∣∣	PROPN
ejpam-7065	263	4	≤	≤	PROPN
ejpam-7065	263	5	|ϑ|√∣∣∣ϑ(k	|ϑ|√∣∣∣ϑ(k	NOUN
ejpam-7065	263	6	−x	−x	NOUN
ejpam-7065	263	7	)	)	PUNCT
ejpam-7065	264	1	+	+	CCONJ
ejpam-7065	264	2	(	(	PUNCT
ejpam-7065	264	3	1−	1−	NUM
ejpam-7065	264	4	3ϑ	3ϑ	NUM
ejpam-7065	264	5	)	)	PUNCT
ejpam-7065	264	6	c	c	NOUN
ejpam-7065	264	7	∣∣∣	∣∣∣	NOUN
ejpam-7065	264	8	,	,	PUNCT
ejpam-7065	264	9	∣∣α3	∣∣α3	NOUN
ejpam-7065	264	10	∣∣	∣∣	X
ejpam-7065	264	11	≤	≤	X
ejpam-7065	264	12	|ϑ|	|ϑ|	ADV
ejpam-7065	264	13	{	{	PUNCT
ejpam-7065	264	14	∣∣(k	∣∣(k	PUNCT
ejpam-7065	264	15	−x	−x	NOUN
ejpam-7065	264	16	)	)	PUNCT
ejpam-7065	264	17	ϑ+	ϑ+	ADP
ejpam-7065	264	18	(	(	PUNCT
ejpam-7065	264	19	1−	1−	NUM
ejpam-7065	264	20	3ϑ	3ϑ	NUM
ejpam-7065	264	21	)	)	PUNCT
ejpam-7065	265	1	c	c	X
ejpam-7065	265	2	∣∣+	∣∣+	PROPN
ejpam-7065	266	1	|ϑ|k	|ϑ|k	ADP
ejpam-7065	266	2	}	}	PUNCT
ejpam-7065	266	3	k	k	X
ejpam-7065	266	4	∣∣(k	∣∣(k	X
ejpam-7065	266	5	−x	−x	NOUN
ejpam-7065	266	6	)	)	PUNCT
ejpam-7065	266	7	ϑ+	ϑ+	ADP
ejpam-7065	266	8	(	(	PUNCT
ejpam-7065	266	9	1−	1−	NUM
ejpam-7065	266	10	3ϑ	3ϑ	NUM
ejpam-7065	266	11	)	)	PUNCT
ejpam-7065	267	1	c	c	ADP
ejpam-7065	267	2	∣∣	∣∣	NUM
ejpam-7065	267	3	,	,	PUNCT
ejpam-7065	267	4	and	and	CCONJ
ejpam-7065	267	5	∣∣α3	∣∣α3	NOUN
ejpam-7065	267	6	−	−	PROPN
ejpam-7065	267	7	µα2	µα2	PROPN
ejpam-7065	267	8	2	2	NUM
ejpam-7065	267	9	∣∣	∣∣	NUM
ejpam-7065	267	10	≤	≤	NUM
ejpam-7065	267	11			PUNCT
ejpam-7065	267	12	|ϑ|	|ϑ|	ADV
ejpam-7065	267	13	k	k	NOUN
ejpam-7065	267	14	,	,	PUNCT
ejpam-7065	267	15	∣∣1−	∣∣1−	PROPN
ejpam-7065	267	16	µ	µ	X
ejpam-7065	267	17	∣∣	∣∣	X
ejpam-7065	267	18	≤	≤	NUM
ejpam-7065	267	19	∣∣ϑ(k−x)+(1−3ϑ)c	∣∣ϑ(k−x)+(1−3ϑ)c	NOUN
ejpam-7065	267	20	∣∣	∣∣	NUM
ejpam-7065	268	1	|ϑ|k	|ϑ|k	ADP
ejpam-7065	268	2	|1−µ||ϑ|2∣∣(k−x)ϑ+(1−3ϑ)c	|1−µ||ϑ|2∣∣(k−x)ϑ+(1−3ϑ)c	PROPN
ejpam-7065	268	3	∣∣	∣∣	NUM
ejpam-7065	268	4	,	,	PUNCT
ejpam-7065	268	5	∣∣1−	∣∣1−	PROPN
ejpam-7065	268	6	µ	µ	PRON
ejpam-7065	268	7	∣∣	∣∣	NUM
ejpam-7065	268	8	≥	≥	X
ejpam-7065	268	9	∣∣ϑ(k−x)+(1−3ϑ)c	∣∣ϑ(k−x)+(1−3ϑ)c	ADJ
ejpam-7065	268	10	∣∣	∣∣	PUNCT
ejpam-7065	269	1	|ϑ|k	|ϑ|k	ADP
ejpam-7065	269	2	where	where	SCONJ
ejpam-7065	269	3	k	k	NOUN
ejpam-7065	269	4	,	,	PUNCT
ejpam-7065	269	5	x	x	X
ejpam-7065	269	6	,	,	PUNCT
ejpam-7065	269	7	c	c	PROPN
ejpam-7065	269	8	are	be	AUX
ejpam-7065	269	9	given	give	VERB
ejpam-7065	269	10	by	by	ADP
ejpam-7065	269	11	(	(	PUNCT
ejpam-7065	269	12	19	19	NUM
ejpam-7065	269	13	)	)	PUNCT
ejpam-7065	269	14	,	,	PUNCT
ejpam-7065	269	15	(	(	PUNCT
ejpam-7065	269	16	20	20	NUM
ejpam-7065	269	17	)	)	PUNCT
ejpam-7065	269	18	and	and	CCONJ
ejpam-7065	269	19	(	(	PUNCT
ejpam-7065	269	20	21	21	NUM
ejpam-7065	269	21	)	)	PUNCT
ejpam-7065	269	22	,	,	PUNCT
ejpam-7065	269	23	respectively	respectively	ADV
ejpam-7065	269	24	.	.	PUNCT
ejpam-7065	269	25	a.	a.	PROPN
ejpam-7065	269	26	alsoboh	alsoboh	PROPN
ejpam-7065	269	27	et	et	PROPN
ejpam-7065	269	28	al	al	PROPN
ejpam-7065	269	29	.	.	PUNCT
ejpam-7065	269	30	/	/	SYM
ejpam-7065	269	31	eur	eur	PROPN
ejpam-7065	269	32	.	.	PUNCT
ejpam-7065	270	1	j.	j.	PROPN
ejpam-7065	270	2	pure	pure	PROPN
ejpam-7065	270	3	appl	appl	PROPN
ejpam-7065	270	4	.	.	PROPN
ejpam-7065	270	5	math	math	PROPN
ejpam-7065	270	6	,	,	PUNCT
ejpam-7065	270	7	18	18	NUM
ejpam-7065	270	8	(	(	PUNCT
ejpam-7065	270	9	4	4	NUM
ejpam-7065	270	10	)	)	PUNCT
ejpam-7065	270	11	(	(	PUNCT
ejpam-7065	270	12	2025	2025	NUM
ejpam-7065	270	13	)	)	PUNCT
ejpam-7065	270	14	,	,	PUNCT
ejpam-7065	270	15	7065	7065	NUM
ejpam-7065	270	16	13	13	NUM
ejpam-7065	270	17	of	of	ADP
ejpam-7065	270	18	16	16	NUM
ejpam-7065	270	19	if	if	SCONJ
ejpam-7065	270	20	q	q	PROPN
ejpam-7065	270	21	7→	7→	NUM
ejpam-7065	270	22	1−	1−	NUM
ejpam-7065	270	23	,	,	PUNCT
ejpam-7065	270	24	β	β	X
ejpam-7065	270	25	=	=	SYM
ejpam-7065	270	26	0	0	NUM
ejpam-7065	270	27	and	and	CCONJ
ejpam-7065	270	28	ρ	ρ	NUM
ejpam-7065	270	29	=	=	SYM
ejpam-7065	270	30	1	1	NUM
ejpam-7065	270	31	,	,	PUNCT
ejpam-7065	270	32	we	we	PRON
ejpam-7065	270	33	obtain	obtain	VERB
ejpam-7065	270	34	the	the	DET
ejpam-7065	270	35	following	follow	VERB
ejpam-7065	270	36	results	result	NOUN
ejpam-7065	270	37	for	for	ADP
ejpam-7065	270	38	the	the	DET
ejpam-7065	270	39	class	class	NOUN
ejpam-7065	270	40	sl∑(υ(z	sl∑(υ(z	PROPN
ejpam-7065	270	41	)	)	PUNCT
ejpam-7065	270	42	)	)	PUNCT
ejpam-7065	270	43	defined	define	VERB
ejpam-7065	270	44	in	in	ADP
ejpam-7065	270	45	example	example	NOUN
ejpam-7065	270	46	(	(	PUNCT
ejpam-7065	270	47	5	5	NUM
ejpam-7065	270	48	)	)	PUNCT
ejpam-7065	270	49	corollary	corollary	ADJ
ejpam-7065	270	50	5	5	NUM
ejpam-7065	270	51	.	.	PUNCT
ejpam-7065	271	1	[	[	X
ejpam-7065	271	2	38	38	NUM
ejpam-7065	271	3	]	]	PUNCT
ejpam-7065	271	4	let	let	VERB
ejpam-7065	271	5	f	f	NOUN
ejpam-7065	271	6	given	give	VERB
ejpam-7065	271	7	by	by	ADP
ejpam-7065	271	8	(	(	PUNCT
ejpam-7065	271	9	1	1	X
ejpam-7065	271	10	)	)	PUNCT
ejpam-7065	271	11	be	be	AUX
ejpam-7065	271	12	in	in	ADP
ejpam-7065	271	13	class	class	NOUN
ejpam-7065	271	14	sl∑(υ(z	sl∑(υ(z	NOUN
ejpam-7065	271	15	)	)	PUNCT
ejpam-7065	271	16	)	)	PUNCT
ejpam-7065	271	17	.	.	PUNCT
ejpam-7065	272	1	then	then	ADV
ejpam-7065	272	2	∣∣α2	∣∣α2	VERB
ejpam-7065	272	3	∣∣	∣∣	NUM
ejpam-7065	272	4	≤	≤	NOUN
ejpam-7065	272	5	∣∣ϑ∣∣	∣∣ϑ∣∣	CCONJ
ejpam-7065	272	6	√	√	PROPN
ejpam-7065	272	7	1−	1−	NUM
ejpam-7065	272	8	2ϑ	2ϑ	NUM
ejpam-7065	272	9	,	,	PUNCT
ejpam-7065	272	10	∣∣α3	∣∣α3	NOUN
ejpam-7065	272	11	∣∣	∣∣	X
ejpam-7065	272	12	≤	≤	NOUN
ejpam-7065	272	13	∣∣ϑ∣∣(1−	∣∣ϑ∣∣(1−	VERB
ejpam-7065	272	14	4ϑ	4ϑ	NUM
ejpam-7065	272	15	)	)	PUNCT
ejpam-7065	272	16	2	2	NUM
ejpam-7065	272	17	(	(	PUNCT
ejpam-7065	272	18	1−	1−	NUM
ejpam-7065	272	19	2ϑ	2ϑ	NUM
ejpam-7065	272	20	)	)	PUNCT
ejpam-7065	272	21	.	.	PUNCT
ejpam-7065	273	1	and	and	CCONJ
ejpam-7065	273	2	∣∣α3	∣∣α3	NOUN
ejpam-7065	273	3	−	−	PROPN
ejpam-7065	273	4	µα2	µα2	PROPN
ejpam-7065	273	5	2	2	NUM
ejpam-7065	273	6	∣∣	∣∣	NUM
ejpam-7065	273	7	≤	≤	NUM
ejpam-7065	273	8			PUNCT
ejpam-7065	273	9	|ϑ|	|ϑ|	ADV
ejpam-7065	273	10	2	2	NUM
ejpam-7065	273	11	,	,	PUNCT
ejpam-7065	273	12	∣∣1−	∣∣1−	PROPN
ejpam-7065	273	13	µ	µ	X
ejpam-7065	273	14	∣∣	∣∣	X
ejpam-7065	273	15	≤	≤	NUM
ejpam-7065	273	16	1−2ϑ	1−2ϑ	NUM
ejpam-7065	273	17	2|ϑ|	2|ϑ|	NUM
ejpam-7065	273	18	(	(	PUNCT
ejpam-7065	273	19	1−µ)ϑ2	1−µ)ϑ2	NUM
ejpam-7065	273	20	1−2ϑ	1−2ϑ	NUM
ejpam-7065	273	21	,	,	PUNCT
ejpam-7065	273	22	∣∣1−	∣∣1−	PROPN
ejpam-7065	273	23	µ	µ	PRON
ejpam-7065	273	24	∣∣	∣∣	NUM
ejpam-7065	273	25	≥	≥	NOUN
ejpam-7065	273	26	1−2ϑ	1−2ϑ	NUM
ejpam-7065	273	27	2|ϑ|	2|ϑ|	NUM
ejpam-7065	273	28	if	if	SCONJ
ejpam-7065	273	29	q	q	PROPN
ejpam-7065	273	30	7→	7→	NUM
ejpam-7065	273	31	1−	1−	NUM
ejpam-7065	273	32	,	,	PUNCT
ejpam-7065	273	33	β	β	X
ejpam-7065	273	34	=	=	SYM
ejpam-7065	273	35	1	1	NUM
ejpam-7065	273	36	and	and	CCONJ
ejpam-7065	273	37	ρ	ρ	NUM
ejpam-7065	273	38	=	=	SYM
ejpam-7065	273	39	1	1	NUM
ejpam-7065	273	40	,	,	PUNCT
ejpam-7065	273	41	we	we	PRON
ejpam-7065	273	42	obtain	obtain	VERB
ejpam-7065	273	43	the	the	DET
ejpam-7065	273	44	following	follow	VERB
ejpam-7065	273	45	results	result	NOUN
ejpam-7065	273	46	for	for	ADP
ejpam-7065	273	47	the	the	DET
ejpam-7065	273	48	class	class	NOUN
ejpam-7065	273	49	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-7065	273	50	)	)	PUNCT
ejpam-7065	273	51	)	)	PUNCT
ejpam-7065	274	1	defined	define	VERB
ejpam-7065	274	2	in	in	ADP
ejpam-7065	274	3	example	example	NOUN
ejpam-7065	274	4	(	(	PUNCT
ejpam-7065	274	5	6	6	NUM
ejpam-7065	274	6	)	)	PUNCT
ejpam-7065	274	7	corollary	corollary	NOUN
ejpam-7065	274	8	6	6	NUM
ejpam-7065	274	9	.	.	PUNCT
ejpam-7065	275	1	[	[	X
ejpam-7065	275	2	38	38	NUM
ejpam-7065	275	3	]	]	PUNCT
ejpam-7065	275	4	let	let	VERB
ejpam-7065	275	5	f	f	NOUN
ejpam-7065	275	6	given	give	VERB
ejpam-7065	275	7	by	by	ADP
ejpam-7065	275	8	(	(	PUNCT
ejpam-7065	275	9	1	1	X
ejpam-7065	275	10	)	)	PUNCT
ejpam-7065	275	11	be	be	AUX
ejpam-7065	275	12	in	in	ADP
ejpam-7065	275	13	the	the	DET
ejpam-7065	275	14	class	class	NOUN
ejpam-7065	275	15	kl∑(υ(z	kl∑(υ(z	PROPN
ejpam-7065	275	16	)	)	PUNCT
ejpam-7065	275	17	)	)	PUNCT
ejpam-7065	275	18	.	.	PUNCT
ejpam-7065	276	1	then	then	ADV
ejpam-7065	276	2	∣∣α2	∣∣α2	VERB
ejpam-7065	276	3	∣∣	∣∣	NUM
ejpam-7065	276	4	≤	≤	NOUN
ejpam-7065	277	1	∣∣ϑ∣∣	∣∣ϑ∣∣	CCONJ
ejpam-7065	277	2	√	√	PROPN
ejpam-7065	277	3	4−	4−	NUM
ejpam-7065	277	4	10ϑ	10ϑ	NOUN
ejpam-7065	277	5	,	,	PUNCT
ejpam-7065	277	6	∣∣α3	∣∣α3	PROPN
ejpam-7065	277	7	∣∣	∣∣	X
ejpam-7065	277	8	≤	≤	NOUN
ejpam-7065	277	9	∣∣ϑ∣∣(1−	∣∣ϑ∣∣(1−	VERB
ejpam-7065	277	10	4ϑ	4ϑ	NUM
ejpam-7065	277	11	)	)	PUNCT
ejpam-7065	277	12	3	3	NUM
ejpam-7065	277	13	(	(	PUNCT
ejpam-7065	277	14	1−	1−	NUM
ejpam-7065	277	15	2ϑ	2ϑ	NUM
ejpam-7065	277	16	)	)	PUNCT
ejpam-7065	277	17	.	.	PUNCT
ejpam-7065	278	1	and	and	CCONJ
ejpam-7065	278	2	∣∣α3	∣∣α3	NOUN
ejpam-7065	278	3	−£α2	−£α2	PROPN
ejpam-7065	278	4	2	2	NUM
ejpam-7065	278	5	∣∣	∣∣	NUM
ejpam-7065	278	6	≤	≤	ADV
ejpam-7065	278	7			PROPN
ejpam-7065	278	8	|ϑ|	|ϑ|	ADV
ejpam-7065	278	9	6	6	NUM
ejpam-7065	278	10	,	,	PUNCT
ejpam-7065	278	11	∣∣1−£	∣∣1−£	NOUN
ejpam-7065	278	12	∣∣	∣∣	NUM
ejpam-7065	278	13	≤	≤	NUM
ejpam-7065	278	14	2−5ϑ	2−5ϑ	NUM
ejpam-7065	278	15	3|ϑ|	3|ϑ|	NUM
ejpam-7065	278	16	|1−£|ϑ2	|1−£|ϑ2	NOUN
ejpam-7065	278	17	2	2	NUM
ejpam-7065	278	18	(	(	PUNCT
ejpam-7065	278	19	2−5ϑ	2−5ϑ	NUM
ejpam-7065	278	20	)	)	PUNCT
ejpam-7065	278	21	,	,	PUNCT
ejpam-7065	278	22	∣∣1−£	∣∣1−£	PROPN
ejpam-7065	278	23	∣∣	∣∣	NUM
ejpam-7065	278	24	≥	≥	NOUN
ejpam-7065	278	25	2−5ϑ	2−5ϑ	NUM
ejpam-7065	278	26	3|ϑ|	3|ϑ|	NUM
ejpam-7065	278	27	4	4	NUM
ejpam-7065	278	28	.	.	PUNCT
ejpam-7065	278	29	conclusion	conclusion	NOUN
ejpam-7065	278	30	in	in	ADP
ejpam-7065	278	31	this	this	DET
ejpam-7065	278	32	paper	paper	NOUN
ejpam-7065	278	33	,	,	PUNCT
ejpam-7065	278	34	we	we	PRON
ejpam-7065	278	35	study	study	VERB
ejpam-7065	278	36	new	new	ADJ
ejpam-7065	278	37	subclasses	subclass	NOUN
ejpam-7065	278	38	of	of	ADP
ejpam-7065	278	39	complex	complex	ADJ
ejpam-7065	278	40	order	order	NOUN
ejpam-7065	278	41	bi	bi	ADJ
ejpam-7065	278	42	-	-	ADJ
ejpam-7065	278	43	univalent	univalent	ADJ
ejpam-7065	278	44	functions	function	NOUN
ejpam-7065	278	45	that	that	PRON
ejpam-7065	278	46	are	be	AUX
ejpam-7065	278	47	associated	associate	VERB
ejpam-7065	278	48	with	with	ADP
ejpam-7065	278	49	shell	shell	NOUN
ejpam-7065	278	50	-	-	PUNCT
ejpam-7065	278	51	like	like	ADJ
ejpam-7065	278	52	curves	curve	NOUN
ejpam-7065	278	53	through	through	ADP
ejpam-7065	278	54	the	the	DET
ejpam-7065	278	55	subordination	subordination	NOUN
ejpam-7065	278	56	principle	principle	NOUN
ejpam-7065	278	57	and	and	CCONJ
ejpam-7065	278	58	the	the	DET
ejpam-7065	278	59	use	use	NOUN
ejpam-7065	278	60	of	of	ADP
ejpam-7065	278	61	the	the	DET
ejpam-7065	278	62	q	q	NOUN
ejpam-7065	278	63	-	-	PUNCT
ejpam-7065	278	64	analogue	analogue	NOUN
ejpam-7065	278	65	of	of	ADP
ejpam-7065	278	66	fibonacci	fibonacci	NOUN
ejpam-7065	278	67	numbers	number	NOUN
ejpam-7065	278	68	.	.	PUNCT
ejpam-7065	279	1	motivated	motivate	VERB
ejpam-7065	279	2	by	by	ADP
ejpam-7065	279	3	recent	recent	ADJ
ejpam-7065	279	4	developments	development	NOUN
ejpam-7065	279	5	in	in	ADP
ejpam-7065	279	6	the	the	DET
ejpam-7065	279	7	qcalculus	qcalculus	NOUN
ejpam-7065	279	8	and	and	CCONJ
ejpam-7065	279	9	its	its	PRON
ejpam-7065	279	10	fruitful	fruitful	ADJ
ejpam-7065	279	11	applications	application	NOUN
ejpam-7065	279	12	in	in	ADP
ejpam-7065	279	13	geometric	geometric	ADJ
ejpam-7065	279	14	function	function	NOUN
ejpam-7065	279	15	theory	theory	NOUN
ejpam-7065	279	16	,	,	PUNCT
ejpam-7065	279	17	we	we	PRON
ejpam-7065	279	18	construct	construct	VERB
ejpam-7065	279	19	and	and	CCONJ
ejpam-7065	279	20	analyze	analyze	VERB
ejpam-7065	279	21	two	two	NUM
ejpam-7065	279	22	distinct	distinct	ADJ
ejpam-7065	279	23	families	family	NOUN
ejpam-7065	279	24	of	of	ADP
ejpam-7065	279	25	analytic	analytic	ADJ
ejpam-7065	279	26	and	and	CCONJ
ejpam-7065	279	27	bi	bi	ADJ
ejpam-7065	279	28	-	-	ADJ
ejpam-7065	279	29	univalent	univalent	ADJ
ejpam-7065	279	30	functions	function	NOUN
ejpam-7065	279	31	.	.	PUNCT
ejpam-7065	280	1	for	for	ADP
ejpam-7065	280	2	these	these	DET
ejpam-7065	280	3	families	family	NOUN
ejpam-7065	280	4	,	,	PUNCT
ejpam-7065	280	5	we	we	PRON
ejpam-7065	280	6	establish	establish	VERB
ejpam-7065	280	7	coefficient	coefficient	NOUN
ejpam-7065	280	8	estimates	estimate	NOUN
ejpam-7065	280	9	for	for	ADP
ejpam-7065	280	10	the	the	DET
ejpam-7065	280	11	initial	initial	ADJ
ejpam-7065	280	12	taylor	taylor	PROPN
ejpam-7065	280	13	–	–	PUNCT
ejpam-7065	280	14	maclaurin	maclaurin	NOUN
ejpam-7065	280	15	terms	term	NOUN
ejpam-7065	280	16	and	and	CCONJ
ejpam-7065	280	17	we	we	PRON
ejpam-7065	280	18	derive	derive	VERB
ejpam-7065	280	19	sharp	sharp	ADJ
ejpam-7065	280	20	bounds	bound	NOUN
ejpam-7065	280	21	for	for	ADP
ejpam-7065	280	22	the	the	DET
ejpam-7065	280	23	fekete	fekete	PROPN
ejpam-7065	280	24	–	–	PUNCT
ejpam-7065	280	25	szegö	szegö	ADJ
ejpam-7065	280	26	functional	functional	ADJ
ejpam-7065	280	27	in	in	ADP
ejpam-7065	280	28	terms	term	NOUN
ejpam-7065	280	29	of	of	ADP
ejpam-7065	280	30	the	the	DET
ejpam-7065	280	31	relevant	relevant	ADJ
ejpam-7065	280	32	parameters	parameter	NOUN
ejpam-7065	280	33	.	.	PUNCT
ejpam-7065	281	1	the	the	DET
ejpam-7065	281	2	results	result	NOUN
ejpam-7065	281	3	obtained	obtain	VERB
ejpam-7065	281	4	in	in	ADP
ejpam-7065	281	5	this	this	DET
ejpam-7065	281	6	investigation	investigation	NOUN
ejpam-7065	281	7	not	not	PART
ejpam-7065	281	8	only	only	ADV
ejpam-7065	281	9	extend	extend	VERB
ejpam-7065	281	10	and	and	CCONJ
ejpam-7065	281	11	generalize	generalize	VERB
ejpam-7065	281	12	several	several	ADJ
ejpam-7065	281	13	previous	previous	ADJ
ejpam-7065	281	14	contributions	contribution	NOUN
ejpam-7065	281	15	in	in	ADP
ejpam-7065	281	16	the	the	DET
ejpam-7065	281	17	theory	theory	NOUN
ejpam-7065	281	18	of	of	ADP
ejpam-7065	281	19	bi	bi	ADJ
ejpam-7065	281	20	-	-	ADJ
ejpam-7065	281	21	univalent	univalent	ADJ
ejpam-7065	281	22	functions	function	NOUN
ejpam-7065	281	23	,	,	PUNCT
ejpam-7065	281	24	but	but	CCONJ
ejpam-7065	281	25	also	also	ADV
ejpam-7065	281	26	provide	provide	VERB
ejpam-7065	281	27	new	new	ADJ
ejpam-7065	281	28	insights	insight	NOUN
ejpam-7065	281	29	into	into	ADP
ejpam-7065	281	30	the	the	DET
ejpam-7065	281	31	interplay	interplay	NOUN
ejpam-7065	281	32	between	between	ADP
ejpam-7065	281	33	bi	bi	ADJ
ejpam-7065	281	34	-	-	ADJ
ejpam-7065	281	35	univalent	univalent	ADJ
ejpam-7065	281	36	function	function	NOUN
ejpam-7065	281	37	theory	theory	NOUN
ejpam-7065	281	38	,	,	PUNCT
ejpam-7065	281	39	the	the	DET
ejpam-7065	281	40	q	q	ADJ
ejpam-7065	281	41	-	-	PUNCT
ejpam-7065	281	42	fibonacci	fibonacci	NOUN
ejpam-7065	281	43	numbers	number	NOUN
ejpam-7065	281	44	and	and	CCONJ
ejpam-7065	281	45	the	the	DET
ejpam-7065	281	46	shell	shell	NOUN
ejpam-7065	281	47	-	-	PUNCT
ejpam-7065	281	48	like	like	ADJ
ejpam-7065	281	49	geometries	geometry	NOUN
ejpam-7065	281	50	.	.	PUNCT
ejpam-7065	282	1	furthermore	furthermore	ADV
ejpam-7065	282	2	,	,	PUNCT
ejpam-7065	282	3	the	the	DET
ejpam-7065	282	4	subclasses	subclass	NOUN
ejpam-7065	282	5	introduced	introduce	VERB
ejpam-7065	282	6	here	here	ADV
ejpam-7065	282	7	may	may	AUX
ejpam-7065	282	8	serve	serve	VERB
ejpam-7065	282	9	as	as	ADP
ejpam-7065	282	10	a	a	DET
ejpam-7065	282	11	useful	useful	ADJ
ejpam-7065	282	12	platform	platform	NOUN
ejpam-7065	282	13	for	for	ADP
ejpam-7065	282	14	future	future	ADJ
ejpam-7065	282	15	research	research	NOUN
ejpam-7065	282	16	in	in	ADP
ejpam-7065	282	17	analytic	analytic	ADJ
ejpam-7065	282	18	function	function	NOUN
ejpam-7065	282	19	spaces	space	NOUN
ejpam-7065	282	20	,	,	PUNCT
ejpam-7065	282	21	special	special	ADJ
ejpam-7065	282	22	functions	function	NOUN
ejpam-7065	282	23	,	,	PUNCT
ejpam-7065	282	24	and	and	CCONJ
ejpam-7065	282	25	their	their	PRON
ejpam-7065	282	26	associated	associated	ADJ
ejpam-7065	282	27	operator	operator	NOUN
ejpam-7065	282	28	-	-	PUNCT
ejpam-7065	282	29	theoretic	theoretic	NOUN
ejpam-7065	282	30	properties	property	NOUN
ejpam-7065	282	31	.	.	PUNCT
ejpam-7065	283	1	references	reference	NOUN
ejpam-7065	283	2	[	[	X
ejpam-7065	283	3	1	1	NUM
ejpam-7065	283	4	]	]	PUNCT
ejpam-7065	283	5	p.	p.	NOUN
ejpam-7065	283	6	l.	l.	PROPN
ejpam-7065	283	7	duren	duren	PROPN
ejpam-7065	283	8	.	.	PUNCT
ejpam-7065	284	1	univalent	univalent	ADJ
ejpam-7065	284	2	functions	function	NOUN
ejpam-7065	284	3	.	.	PUNCT
ejpam-7065	285	1	grundlehren	grundlehren	PROPN
ejpam-7065	285	2	der	der	PROPN
ejpam-7065	285	3	mathematischen	mathematischen	PROPN
ejpam-7065	285	4	wissenschaften	wissenschaften	PROPN
ejpam-7065	285	5	.	.	PUNCT
ejpam-7065	286	1	springer	springer	NOUN
ejpam-7065	286	2	,	,	PUNCT
ejpam-7065	286	3	new	new	PROPN
ejpam-7065	286	4	york	york	PROPN
ejpam-7065	286	5	,	,	PUNCT
ejpam-7065	286	6	1983	1983	NUM
ejpam-7065	286	7	.	.	PUNCT
ejpam-7065	287	1	a.	a.	PROPN
ejpam-7065	287	2	alsoboh	alsoboh	PROPN
ejpam-7065	287	3	et	et	PROPN
ejpam-7065	287	4	al	al	PROPN
ejpam-7065	287	5	.	.	PUNCT
ejpam-7065	287	6	/	/	SYM
ejpam-7065	287	7	eur	eur	PROPN
ejpam-7065	287	8	.	.	PUNCT
ejpam-7065	288	1	j.	j.	PROPN
ejpam-7065	288	2	pure	pure	PROPN
ejpam-7065	288	3	appl	appl	PROPN
ejpam-7065	288	4	.	.	PROPN
ejpam-7065	288	5	math	math	PROPN
ejpam-7065	288	6	,	,	PUNCT
ejpam-7065	288	7	18	18	NUM
ejpam-7065	288	8	(	(	PUNCT
ejpam-7065	288	9	4	4	NUM
ejpam-7065	288	10	)	)	PUNCT
ejpam-7065	288	11	(	(	PUNCT
ejpam-7065	288	12	2025	2025	NUM
ejpam-7065	288	13	)	)	PUNCT
ejpam-7065	288	14	,	,	PUNCT
ejpam-7065	288	15	7065	7065	NUM
ejpam-7065	288	16	14	14	NUM
ejpam-7065	288	17	of	of	ADP
ejpam-7065	288	18	16	16	NUM
ejpam-7065	289	1	[	[	X
ejpam-7065	289	2	2	2	NUM
ejpam-7065	289	3	]	]	PUNCT
ejpam-7065	289	4	w.	w.	PROPN
ejpam-7065	289	5	ma	ma	PROPN
ejpam-7065	289	6	and	and	CCONJ
ejpam-7065	289	7	d.	d.	PROPN
ejpam-7065	289	8	minda	minda	PROPN
ejpam-7065	289	9	.	.	PUNCT
ejpam-7065	290	1	a	a	DET
ejpam-7065	290	2	unified	unified	ADJ
ejpam-7065	290	3	treatment	treatment	NOUN
ejpam-7065	290	4	of	of	ADP
ejpam-7065	290	5	some	some	DET
ejpam-7065	290	6	special	special	ADJ
ejpam-7065	290	7	classes	class	NOUN
ejpam-7065	290	8	of	of	ADP
ejpam-7065	290	9	univalent	univalent	ADJ
ejpam-7065	290	10	functions	function	NOUN
ejpam-7065	290	11	.	.	PUNCT
ejpam-7065	291	1	in	in	ADP
ejpam-7065	291	2	proceedings	proceeding	NOUN
ejpam-7065	291	3	of	of	ADP
ejpam-7065	291	4	the	the	DET
ejpam-7065	291	5	conference	conference	NOUN
ejpam-7065	291	6	on	on	ADP
ejpam-7065	291	7	complex	complex	ADJ
ejpam-7065	291	8	analysis	analysis	NOUN
ejpam-7065	291	9	,	,	PUNCT
ejpam-7065	291	10	pages	page	NOUN
ejpam-7065	291	11	157–169	157–169	NUM
ejpam-7065	291	12	,	,	PUNCT
ejpam-7065	291	13	tianjin	tianjin	PROPN
ejpam-7065	291	14	,	,	PUNCT
ejpam-7065	291	15	china	china	PROPN
ejpam-7065	291	16	,	,	PUNCT
ejpam-7065	291	17	1992	1992	NUM
ejpam-7065	291	18	.	.	PUNCT
ejpam-7065	292	1	[	[	X
ejpam-7065	292	2	3	3	X
ejpam-7065	292	3	]	]	X
ejpam-7065	292	4	w.	w.	PROPN
ejpam-7065	292	5	janowski	janowski	PROPN
ejpam-7065	292	6	.	.	PUNCT
ejpam-7065	293	1	extremal	extremal	ADJ
ejpam-7065	293	2	problems	problem	NOUN
ejpam-7065	293	3	for	for	ADP
ejpam-7065	293	4	a	a	DET
ejpam-7065	293	5	family	family	NOUN
ejpam-7065	293	6	of	of	ADP
ejpam-7065	293	7	functions	function	NOUN
ejpam-7065	293	8	with	with	ADP
ejpam-7065	293	9	positive	positive	ADJ
ejpam-7065	293	10	real	real	ADJ
ejpam-7065	293	11	part	part	NOUN
ejpam-7065	293	12	and	and	CCONJ
ejpam-7065	293	13	for	for	ADP
ejpam-7065	293	14	some	some	DET
ejpam-7065	293	15	related	relate	VERB
ejpam-7065	293	16	families	family	NOUN
ejpam-7065	293	17	.	.	PUNCT
ejpam-7065	294	1	annales	annale	VERB
ejpam-7065	294	2	polonici	polonici	PROPN
ejpam-7065	294	3	mathematici	mathematici	NOUN
ejpam-7065	294	4	,	,	PUNCT
ejpam-7065	294	5	23(28):159–177	23(28):159–177	NUM
ejpam-7065	294	6	,	,	PUNCT
ejpam-7065	294	7	1970	1970	NUM
ejpam-7065	294	8	.	.	PUNCT
ejpam-7065	295	1	[	[	X
ejpam-7065	295	2	4	4	X
ejpam-7065	295	3	]	]	X
ejpam-7065	295	4	w.	w.	PROPN
ejpam-7065	295	5	janowski	janowski	PROPN
ejpam-7065	295	6	.	.	PUNCT
ejpam-7065	296	1	some	some	DET
ejpam-7065	296	2	extremal	extremal	ADJ
ejpam-7065	296	3	problems	problem	NOUN
ejpam-7065	296	4	for	for	ADP
ejpam-7065	296	5	certain	certain	ADJ
ejpam-7065	296	6	families	family	NOUN
ejpam-7065	296	7	of	of	ADP
ejpam-7065	296	8	analytic	analytic	ADJ
ejpam-7065	296	9	functions	function	NOUN
ejpam-7065	296	10	i.	i.	NOUN
ejpam-7065	296	11	annales	annale	VERB
ejpam-7065	296	12	polonici	polonici	PROPN
ejpam-7065	296	13	mathematici	mathematici	NOUN
ejpam-7065	296	14	,	,	PUNCT
ejpam-7065	296	15	3(28):297–362	3(28):297–362	NUM
ejpam-7065	296	16	,	,	PUNCT
ejpam-7065	296	17	1973	1973	NUM
ejpam-7065	296	18	.	.	PUNCT
ejpam-7065	297	1	[	[	X
ejpam-7065	297	2	5	5	X
ejpam-7065	297	3	]	]	PUNCT
ejpam-7065	297	4	m.	m.	NOUN
ejpam-7065	297	5	s.	s.	PROPN
ejpam-7065	297	6	robertson	robertson	PROPN
ejpam-7065	297	7	.	.	PUNCT
ejpam-7065	298	1	certain	certain	ADJ
ejpam-7065	298	2	classes	class	NOUN
ejpam-7065	298	3	of	of	ADP
ejpam-7065	298	4	starlike	starlike	NOUN
ejpam-7065	298	5	functions	function	NOUN
ejpam-7065	298	6	.	.	PUNCT
ejpam-7065	299	1	michigan	michigan	PROPN
ejpam-7065	299	2	mathematical	mathematical	PROPN
ejpam-7065	299	3	journal	journal	PROPN
ejpam-7065	299	4	,	,	PUNCT
ejpam-7065	299	5	32:135–140	32:135–140	NUM
ejpam-7065	299	6	,	,	PUNCT
ejpam-7065	299	7	1985	1985	NUM
ejpam-7065	299	8	.	.	PUNCT
ejpam-7065	300	1	[	[	X
ejpam-7065	300	2	6	6	NUM
ejpam-7065	300	3	]	]	PUNCT
ejpam-7065	300	4	j.	j.	PROPN
ejpam-7065	300	5	sokół	sokół	PROPN
ejpam-7065	300	6	.	.	PUNCT
ejpam-7065	301	1	on	on	ADP
ejpam-7065	301	2	starlike	starlike	NOUN
ejpam-7065	301	3	functions	function	NOUN
ejpam-7065	301	4	connected	connect	VERB
ejpam-7065	301	5	with	with	ADP
ejpam-7065	301	6	fibonacci	fibonacci	NOUN
ejpam-7065	301	7	numbers	number	NOUN
ejpam-7065	301	8	.	.	PUNCT
ejpam-7065	302	1	zeszyty	zeszyty	VERB
ejpam-7065	302	2	naukowe	naukowe	NOUN
ejpam-7065	302	3	politechniki	politechniki	PROPN
ejpam-7065	302	4	rzeszowskiej	rzeszowskiej	PROPN
ejpam-7065	302	5	.	.	PUNCT
ejpam-7065	303	1	matematyka	matematyka	PROPN
ejpam-7065	303	2	,	,	PUNCT
ejpam-7065	303	3	23(157):111–116	23(157):111–116	PROPN
ejpam-7065	303	4	,	,	PUNCT
ejpam-7065	303	5	1999	1999	NUM
ejpam-7065	303	6	.	.	PUNCT
ejpam-7065	304	1	[	[	X
ejpam-7065	304	2	7	7	X
ejpam-7065	304	3	]	]	X
ejpam-7065	304	4	j.	j.	PROPN
ejpam-7065	304	5	sokół	sokół	PROPN
ejpam-7065	304	6	.	.	PUNCT
ejpam-7065	305	1	a	a	DET
ejpam-7065	305	2	certain	certain	ADJ
ejpam-7065	305	3	class	class	NOUN
ejpam-7065	305	4	of	of	ADP
ejpam-7065	305	5	starlike	starlike	NOUN
ejpam-7065	305	6	functions	function	NOUN
ejpam-7065	305	7	.	.	PUNCT
ejpam-7065	306	1	computers	computer	NOUN
ejpam-7065	306	2	&	&	CCONJ
ejpam-7065	306	3	mathematics	mathematics	PROPN
ejpam-7065	306	4	with	with	ADP
ejpam-7065	306	5	applications	application	NOUN
ejpam-7065	306	6	,	,	PUNCT
ejpam-7065	306	7	62(2):611–619	62(2):611–619	NUM
ejpam-7065	306	8	,	,	PUNCT
ejpam-7065	306	9	2011	2011	NUM
ejpam-7065	306	10	.	.	PUNCT
ejpam-7065	307	1	[	[	X
ejpam-7065	307	2	8	8	NUM
ejpam-7065	307	3	]	]	X
ejpam-7065	307	4	g.	g.	PROPN
ejpam-7065	307	5	gasper	gasper	PROPN
ejpam-7065	307	6	and	and	CCONJ
ejpam-7065	307	7	m.	m.	PROPN
ejpam-7065	307	8	rahman	rahman	PROPN
ejpam-7065	307	9	.	.	PUNCT
ejpam-7065	308	1	basic	basic	ADJ
ejpam-7065	308	2	hypergeometric	hypergeometric	ADJ
ejpam-7065	308	3	series	series	NOUN
ejpam-7065	308	4	,	,	PUNCT
ejpam-7065	308	5	volume	volume	NOUN
ejpam-7065	308	6	96	96	NUM
ejpam-7065	308	7	of	of	ADP
ejpam-7065	308	8	encyclopedia	encyclopedia	NOUN
ejpam-7065	308	9	of	of	ADP
ejpam-7065	308	10	mathematics	mathematic	NOUN
ejpam-7065	308	11	and	and	CCONJ
ejpam-7065	308	12	its	its	PRON
ejpam-7065	308	13	applications	application	NOUN
ejpam-7065	308	14	.	.	PUNCT
ejpam-7065	309	1	cambridge	cambridge	PROPN
ejpam-7065	309	2	university	university	PROPN
ejpam-7065	309	3	press	press	PROPN
ejpam-7065	309	4	,	,	PUNCT
ejpam-7065	309	5	cambridge	cambridge	PROPN
ejpam-7065	309	6	,	,	PUNCT
ejpam-7065	309	7	ma	ma	PROPN
ejpam-7065	309	8	,	,	PUNCT
ejpam-7065	309	9	2	2	NUM
ejpam-7065	309	10	edition	edition	NOUN
ejpam-7065	309	11	,	,	PUNCT
ejpam-7065	309	12	2004	2004	NUM
ejpam-7065	309	13	.	.	PUNCT
ejpam-7065	310	1	[	[	X
ejpam-7065	310	2	9	9	NUM
ejpam-7065	310	3	]	]	PUNCT
ejpam-7065	310	4	t.	t.	PROPN
ejpam-7065	310	5	m.	m.	NOUN
ejpam-7065	310	6	seoudy	seoudy	PROPN
ejpam-7065	310	7	and	and	CCONJ
ejpam-7065	310	8	m.	m.	PROPN
ejpam-7065	310	9	k.	k.	PROPN
ejpam-7065	310	10	aouf	aouf	PROPN
ejpam-7065	310	11	.	.	PUNCT
ejpam-7065	311	1	coefficient	coefficient	NOUN
ejpam-7065	311	2	estimates	estimate	NOUN
ejpam-7065	311	3	of	of	ADP
ejpam-7065	311	4	new	new	ADJ
ejpam-7065	311	5	classes	class	NOUN
ejpam-7065	311	6	of	of	ADP
ejpam-7065	311	7	q	q	NOUN
ejpam-7065	311	8	-	-	PUNCT
ejpam-7065	311	9	starlike	starlike	NOUN
ejpam-7065	311	10	and	and	CCONJ
ejpam-7065	311	11	q	q	ADJ
ejpam-7065	311	12	-	-	PUNCT
ejpam-7065	311	13	convex	convex	ADJ
ejpam-7065	311	14	functions	function	NOUN
ejpam-7065	311	15	of	of	ADP
ejpam-7065	311	16	complex	complex	ADJ
ejpam-7065	311	17	order	order	NOUN
ejpam-7065	311	18	.	.	PUNCT
ejpam-7065	312	1	journal	journal	NOUN
ejpam-7065	312	2	of	of	ADP
ejpam-7065	312	3	mathematical	mathematical	ADJ
ejpam-7065	312	4	inequalities	inequality	NOUN
ejpam-7065	312	5	,	,	PUNCT
ejpam-7065	312	6	10(1):135–145	10(1):135–145	PROPN
ejpam-7065	312	7	,	,	PUNCT
ejpam-7065	312	8	2016	2016	NUM
ejpam-7065	312	9	.	.	PUNCT
ejpam-7065	313	1	[	[	X
ejpam-7065	313	2	10	10	NUM
ejpam-7065	313	3	]	]	PUNCT
ejpam-7065	313	4	m.	m.	NOUN
ejpam-7065	313	5	ahmed	ahmed	PROPN
ejpam-7065	313	6	,	,	PUNCT
ejpam-7065	313	7	a.	a.	PROPN
ejpam-7065	313	8	alsoboh	alsoboh	PROPN
ejpam-7065	313	9	,	,	PUNCT
ejpam-7065	313	10	a.	a.	PROPN
ejpam-7065	313	11	amourah	amourah	PROPN
ejpam-7065	313	12	,	,	PUNCT
ejpam-7065	313	13	and	and	CCONJ
ejpam-7065	313	14	j.	j.	PROPN
ejpam-7065	313	15	salah	salah	PROPN
ejpam-7065	313	16	.	.	PUNCT
ejpam-7065	314	1	on	on	ADP
ejpam-7065	314	2	the	the	DET
ejpam-7065	314	3	fractional	fractional	ADJ
ejpam-7065	314	4	q	q	ADJ
ejpam-7065	314	5	-	-	ADJ
ejpam-7065	314	6	differintegral	differintegral	ADJ
ejpam-7065	314	7	operator	operator	NOUN
ejpam-7065	314	8	for	for	ADP
ejpam-7065	314	9	subclasses	subclass	NOUN
ejpam-7065	314	10	of	of	ADP
ejpam-7065	314	11	bi	bi	ADJ
ejpam-7065	314	12	-	-	ADJ
ejpam-7065	314	13	univalent	univalent	ADJ
ejpam-7065	314	14	functions	function	NOUN
ejpam-7065	314	15	subordinate	subordinate	VERB
ejpam-7065	314	16	to	to	ADP
ejpam-7065	314	17	q	q	ADJ
ejpam-7065	314	18	-	-	ADJ
ejpam-7065	314	19	ultraspherical	ultraspherical	ADJ
ejpam-7065	314	20	polynomials	polynomial	NOUN
ejpam-7065	314	21	.	.	PUNCT
ejpam-7065	315	1	european	european	ADJ
ejpam-7065	315	2	journal	journal	PROPN
ejpam-7065	315	3	of	of	ADP
ejpam-7065	315	4	pure	pure	ADJ
ejpam-7065	315	5	and	and	CCONJ
ejpam-7065	315	6	applied	applied	ADJ
ejpam-7065	315	7	mathematics	mathematic	NOUN
ejpam-7065	315	8	,	,	PUNCT
ejpam-7065	315	9	18(3):6586	18(3):6586	NUM
ejpam-7065	315	10	,	,	PUNCT
ejpam-7065	315	11	2025	2025	NUM
ejpam-7065	315	12	.	.	PUNCT
ejpam-7065	316	1	[	[	X
ejpam-7065	316	2	11	11	NUM
ejpam-7065	316	3	]	]	PUNCT
ejpam-7065	316	4	t.	t.	PROPN
ejpam-7065	316	5	al	al	PROPN
ejpam-7065	316	6	-	-	PUNCT
ejpam-7065	316	7	hawary	hawary	PROPN
ejpam-7065	316	8	,	,	PUNCT
ejpam-7065	316	9	a.	a.	NOUN
ejpam-7065	316	10	alsoboh	alsoboh	PROPN
ejpam-7065	316	11	,	,	PUNCT
ejpam-7065	316	12	a.	a.	PROPN
ejpam-7065	316	13	amourah	amourah	PROPN
ejpam-7065	316	14	,	,	PUNCT
ejpam-7065	316	15	o.	o.	PROPN
ejpam-7065	316	16	ogilat	ogilat	PROPN
ejpam-7065	316	17	,	,	PUNCT
ejpam-7065	316	18	i.	i.	NOUN
ejpam-7065	316	19	harny	harny	NOUN
ejpam-7065	316	20	,	,	PUNCT
ejpam-7065	316	21	and	and	CCONJ
ejpam-7065	316	22	m.	m.	NOUN
ejpam-7065	316	23	darus	darus	NOUN
ejpam-7065	316	24	.	.	PUNCT
ejpam-7065	317	1	applications	application	NOUN
ejpam-7065	317	2	of	of	ADP
ejpam-7065	317	3	q	q	NOUN
ejpam-7065	317	4	-	-	PUNCT
ejpam-7065	317	5	borel	borel	NOUN
ejpam-7065	317	6	distribution	distribution	NOUN
ejpam-7065	317	7	series	series	NOUN
ejpam-7065	317	8	involving	involve	VERB
ejpam-7065	317	9	q	q	ADJ
ejpam-7065	317	10	-	-	PUNCT
ejpam-7065	317	11	gegenbauer	gegenbauer	NOUN
ejpam-7065	317	12	polynomials	polynomial	NOUN
ejpam-7065	317	13	to	to	ADP
ejpam-7065	317	14	subclasses	subclass	NOUN
ejpam-7065	317	15	of	of	ADP
ejpam-7065	317	16	bi	bi	ADJ
ejpam-7065	317	17	-	-	ADJ
ejpam-7065	317	18	univalent	univalent	ADJ
ejpam-7065	317	19	functions	function	NOUN
ejpam-7065	317	20	.	.	PUNCT
ejpam-7065	318	1	heliyon	heliyon	NOUN
ejpam-7065	318	2	,	,	PUNCT
ejpam-7065	318	3	10(14	10(14	NUM
ejpam-7065	318	4	)	)	PUNCT
ejpam-7065	318	5	,	,	PUNCT
ejpam-7065	318	6	2024	2024	NUM
ejpam-7065	318	7	.	.	PUNCT
ejpam-7065	319	1	[	[	X
ejpam-7065	319	2	12	12	NUM
ejpam-7065	319	3	]	]	PUNCT
ejpam-7065	319	4	t.	t.	PROPN
ejpam-7065	319	5	al	al	PROPN
ejpam-7065	319	6	-	-	PUNCT
ejpam-7065	319	7	hawary	hawary	PROPN
ejpam-7065	319	8	,	,	PUNCT
ejpam-7065	319	9	a.	a.	PROPN
ejpam-7065	319	10	amourah	amourah	PROPN
ejpam-7065	319	11	,	,	PUNCT
ejpam-7065	319	12	a.	a.	PROPN
ejpam-7065	319	13	alsoboh	alsoboh	PROPN
ejpam-7065	319	14	,	,	PUNCT
ejpam-7065	319	15	a.	a.	NOUN
ejpam-7065	319	16	m.	m.	NOUN
ejpam-7065	319	17	freihat	freihat	PROPN
ejpam-7065	319	18	,	,	PUNCT
ejpam-7065	319	19	o.	o.	PROPN
ejpam-7065	319	20	ogilat	ogilat	PROPN
ejpam-7065	319	21	,	,	PUNCT
ejpam-7065	319	22	i.	i.	NOUN
ejpam-7065	319	23	harny	harny	NOUN
ejpam-7065	319	24	,	,	PUNCT
ejpam-7065	319	25	and	and	CCONJ
ejpam-7065	319	26	m.	m.	NOUN
ejpam-7065	319	27	darus	darus	NOUN
ejpam-7065	319	28	.	.	PUNCT
ejpam-7065	320	1	subclasses	subclass	NOUN
ejpam-7065	320	2	of	of	ADP
ejpam-7065	320	3	yamakawa	yamakawa	NOUN
ejpam-7065	320	4	-	-	PUNCT
ejpam-7065	320	5	type	type	NOUN
ejpam-7065	320	6	bi	bi	ADJ
ejpam-7065	320	7	-	-	ADJ
ejpam-7065	320	8	starlike	starlike	ADJ
ejpam-7065	320	9	functions	function	NOUN
ejpam-7065	320	10	subordinate	subordinate	VERB
ejpam-7065	320	11	to	to	ADP
ejpam-7065	320	12	gegenbauer	gegenbauer	NOUN
ejpam-7065	320	13	polynomials	polynomial	NOUN
ejpam-7065	320	14	associated	associate	VERB
ejpam-7065	320	15	with	with	ADP
ejpam-7065	320	16	quantum	quantum	NOUN
ejpam-7065	320	17	calculus	calculus	NOUN
ejpam-7065	320	18	.	.	PUNCT
ejpam-7065	321	1	results	result	NOUN
ejpam-7065	321	2	in	in	ADP
ejpam-7065	321	3	nonlinear	nonlinear	ADJ
ejpam-7065	321	4	analysis	analysis	NOUN
ejpam-7065	321	5	,	,	PUNCT
ejpam-7065	321	6	7(4):75–83	7(4):75–83	NUM
ejpam-7065	321	7	,	,	PUNCT
ejpam-7065	321	8	2024	2024	NUM
ejpam-7065	321	9	.	.	PUNCT
ejpam-7065	322	1	[	[	X
ejpam-7065	322	2	13	13	NUM
ejpam-7065	322	3	]	]	PUNCT
ejpam-7065	322	4	t.	t.	PROPN
ejpam-7065	322	5	al	al	PROPN
ejpam-7065	322	6	-	-	PUNCT
ejpam-7065	322	7	hawary	hawary	PROPN
ejpam-7065	322	8	,	,	PUNCT
ejpam-7065	322	9	a.	a.	PROPN
ejpam-7065	322	10	amourah	amourah	PROPN
ejpam-7065	322	11	,	,	PUNCT
ejpam-7065	322	12	a.	a.	PROPN
ejpam-7065	322	13	alsoboh	alsoboh	PROPN
ejpam-7065	322	14	,	,	PUNCT
ejpam-7065	322	15	o.	o.	NOUN
ejpam-7065	322	16	ogilat	ogilat	NOUN
ejpam-7065	322	17	,	,	PUNCT
ejpam-7065	322	18	i.	i.	NOUN
ejpam-7065	322	19	harny	harny	NOUN
ejpam-7065	322	20	,	,	PUNCT
ejpam-7065	322	21	and	and	CCONJ
ejpam-7065	322	22	m.	m.	NOUN
ejpam-7065	322	23	darus	darus	NOUN
ejpam-7065	322	24	.	.	PUNCT
ejpam-7065	323	1	applications	application	NOUN
ejpam-7065	323	2	of	of	ADP
ejpam-7065	323	3	q	q	ADJ
ejpam-7065	323	4	-	-	ADJ
ejpam-7065	323	5	ultraspherical	ultraspherical	ADJ
ejpam-7065	323	6	polynomials	polynomial	NOUN
ejpam-7065	323	7	to	to	ADP
ejpam-7065	323	8	bi	bi	ADJ
ejpam-7065	323	9	-	-	ADJ
ejpam-7065	323	10	univalent	univalent	ADJ
ejpam-7065	323	11	functions	function	NOUN
ejpam-7065	323	12	defined	define	VERB
ejpam-7065	323	13	by	by	ADP
ejpam-7065	323	14	q	q	NOUN
ejpam-7065	323	15	-	-	PUNCT
ejpam-7065	323	16	saigo	saigo	NOUN
ejpam-7065	323	17	’s	’s	PART
ejpam-7065	323	18	fractional	fractional	ADJ
ejpam-7065	323	19	integral	integral	ADJ
ejpam-7065	323	20	operators	operator	NOUN
ejpam-7065	323	21	.	.	PUNCT
ejpam-7065	324	1	aims	aim	VERB
ejpam-7065	324	2	mathematics	mathematic	NOUN
ejpam-7065	324	3	,	,	PUNCT
ejpam-7065	324	4	9(7):17063–17075	9(7):17063–17075	PROPN
ejpam-7065	324	5	,	,	PUNCT
ejpam-7065	324	6	2024	2024	NUM
ejpam-7065	324	7	.	.	PUNCT
ejpam-7065	325	1	[	[	X
ejpam-7065	325	2	14	14	NUM
ejpam-7065	325	3	]	]	PUNCT
ejpam-7065	325	4	a.	a.	NOUN
ejpam-7065	325	5	alatawi	alatawi	PROPN
ejpam-7065	325	6	and	and	CCONJ
ejpam-7065	325	7	m.	m.	NOUN
ejpam-7065	325	8	darus	darus	NOUN
ejpam-7065	325	9	.	.	PUNCT
ejpam-7065	326	1	the	the	DET
ejpam-7065	326	2	fekete	fekete	PROPN
ejpam-7065	326	3	–	–	PUNCT
ejpam-7065	326	4	szegö	szegö	ADJ
ejpam-7065	326	5	inequality	inequality	NOUN
ejpam-7065	326	6	for	for	ADP
ejpam-7065	326	7	a	a	DET
ejpam-7065	326	8	subfamily	subfamily	NOUN
ejpam-7065	326	9	of	of	ADP
ejpam-7065	326	10	q	q	ADJ
ejpam-7065	326	11	-	-	PUNCT
ejpam-7065	326	12	analogue	analogue	NOUN
ejpam-7065	326	13	analytic	analytic	ADJ
ejpam-7065	326	14	functions	function	NOUN
ejpam-7065	326	15	associated	associate	VERB
ejpam-7065	326	16	with	with	ADP
ejpam-7065	326	17	the	the	DET
ejpam-7065	326	18	modified	modified	ADJ
ejpam-7065	326	19	q	q	ADJ
ejpam-7065	326	20	-	-	PUNCT
ejpam-7065	326	21	opoola	opoola	ADJ
ejpam-7065	326	22	operator	operator	NOUN
ejpam-7065	326	23	.	.	PUNCT
ejpam-7065	327	1	asian	asian	ADJ
ejpam-7065	327	2	-	-	PUNCT
ejpam-7065	327	3	european	european	ADJ
ejpam-7065	327	4	journal	journal	NOUN
ejpam-7065	327	5	of	of	ADP
ejpam-7065	327	6	mathematics	mathematic	NOUN
ejpam-7065	327	7	,	,	PUNCT
ejpam-7065	327	8	17(3):2450027	17(3):2450027	NUM
ejpam-7065	327	9	,	,	PUNCT
ejpam-7065	327	10	2024	2024	NUM
ejpam-7065	327	11	.	.	PUNCT
ejpam-7065	328	1	art	art	NOUN
ejpam-7065	328	2	.	.	PUNCT
ejpam-7065	329	1	i	i	PRON
ejpam-7065	329	2	d	d	PROPN
ejpam-7065	329	3	2450027	2450027	NUM
ejpam-7065	329	4	.	.	PUNCT
ejpam-7065	330	1	[	[	X
ejpam-7065	330	2	15	15	NUM
ejpam-7065	330	3	]	]	X
ejpam-7065	330	4	r.	r.	PROPN
ejpam-7065	330	5	m.	m.	PROPN
ejpam-7065	330	6	ali	ali	PROPN
ejpam-7065	330	7	,	,	PUNCT
ejpam-7065	330	8	s.	s.	PROPN
ejpam-7065	330	9	k.	k.	PROPN
ejpam-7065	330	10	lee	lee	PROPN
ejpam-7065	330	11	,	,	PUNCT
ejpam-7065	330	12	v.	v.	ADP
ejpam-7065	330	13	ravichandran	ravichandran	NOUN
ejpam-7065	330	14	,	,	PUNCT
ejpam-7065	330	15	and	and	CCONJ
ejpam-7065	330	16	s.	s.	PROPN
ejpam-7065	330	17	supramanian	supramanian	PROPN
ejpam-7065	330	18	.	.	PUNCT
ejpam-7065	331	1	coefficient	coefficient	NOUN
ejpam-7065	331	2	estimates	estimate	NOUN
ejpam-7065	331	3	for	for	ADP
ejpam-7065	331	4	bi	bi	ADJ
ejpam-7065	331	5	-	-	ADJ
ejpam-7065	331	6	univalent	univalent	ADJ
ejpam-7065	331	7	ma	ma	PROPN
ejpam-7065	331	8	-	-	PUNCT
ejpam-7065	331	9	minda	minda	PROPN
ejpam-7065	331	10	starlike	starlike	PROPN
ejpam-7065	331	11	and	and	CCONJ
ejpam-7065	331	12	convex	convex	NOUN
ejpam-7065	331	13	functions	function	NOUN
ejpam-7065	331	14	.	.	PUNCT
ejpam-7065	332	1	applied	apply	VERB
ejpam-7065	332	2	mathematics	mathematics	NOUN
ejpam-7065	332	3	letters	letter	NOUN
ejpam-7065	332	4	,	,	PUNCT
ejpam-7065	332	5	25(3):344–351	25(3):344–351	NOUN
ejpam-7065	332	6	,	,	PUNCT
ejpam-7065	332	7	2012	2012	NUM
ejpam-7065	332	8	.	.	PUNCT
ejpam-7065	333	1	[	[	X
ejpam-7065	333	2	16	16	NUM
ejpam-7065	333	3	]	]	X
ejpam-7065	333	4	m.	m.	NOUN
ejpam-7065	333	5	almalkawi	almalkawi	PROPN
ejpam-7065	333	6	,	,	PUNCT
ejpam-7065	333	7	a.	a.	PROPN
ejpam-7065	333	8	alsoboh	alsoboh	PROPN
ejpam-7065	333	9	,	,	PUNCT
ejpam-7065	333	10	a.	a.	PROPN
ejpam-7065	333	11	amourah	amourah	PROPN
ejpam-7065	333	12	,	,	PUNCT
ejpam-7065	333	13	and	and	CCONJ
ejpam-7065	333	14	t.	t.	PROPN
ejpam-7065	333	15	sasa	sasa	PROPN
ejpam-7065	333	16	.	.	PUNCT
ejpam-7065	334	1	estimates	estimate	NOUN
ejpam-7065	334	2	for	for	ADP
ejpam-7065	334	3	the	the	DET
ejpam-7065	334	4	coefficients	coefficient	NOUN
ejpam-7065	334	5	of	of	ADP
ejpam-7065	334	6	subclasses	subclass	NOUN
ejpam-7065	334	7	defined	define	VERB
ejpam-7065	334	8	by	by	ADP
ejpam-7065	334	9	the	the	DET
ejpam-7065	334	10	q	q	ADJ
ejpam-7065	334	11	-	-	PUNCT
ejpam-7065	334	12	babalola	babalola	NOUN
ejpam-7065	334	13	convolution	convolution	NOUN
ejpam-7065	334	14	operator	operator	NOUN
ejpam-7065	334	15	of	of	ADP
ejpam-7065	334	16	bi	bi	ADJ
ejpam-7065	334	17	-	-	ADJ
ejpam-7065	334	18	univalent	univalent	ADJ
ejpam-7065	334	19	functions	function	NOUN
ejpam-7065	334	20	subordinate	subordinate	VERB
ejpam-7065	334	21	to	to	ADP
ejpam-7065	334	22	the	the	DET
ejpam-7065	334	23	q	q	ADJ
ejpam-7065	334	24	-	-	PUNCT
ejpam-7065	334	25	fibonacci	fibonacci	NOUN
ejpam-7065	334	26	analogue	analogue	NOUN
ejpam-7065	334	27	.	.	PUNCT
ejpam-7065	335	1	european	european	PROPN
ejpam-7065	335	2	journal	journal	PROPN
ejpam-7065	335	3	of	of	ADP
ejpam-7065	335	4	pure	pure	ADJ
ejpam-7065	335	5	and	and	CCONJ
ejpam-7065	335	6	applied	applied	ADJ
ejpam-7065	335	7	mathematics	mathematic	NOUN
ejpam-7065	335	8	,	,	PUNCT
ejpam-7065	335	9	18(3):6499	18(3):6499	NUM
ejpam-7065	335	10	,	,	PUNCT
ejpam-7065	335	11	2025	2025	NUM
ejpam-7065	335	12	.	.	PUNCT
ejpam-7065	336	1	[	[	X
ejpam-7065	336	2	17	17	NUM
ejpam-7065	336	3	]	]	PUNCT
ejpam-7065	336	4	a.	a.	NOUN
ejpam-7065	336	5	alsoboh	alsoboh	PROPN
ejpam-7065	336	6	,	,	PUNCT
ejpam-7065	336	7	a.	a.	PROPN
ejpam-7065	336	8	amourah	amourah	PROPN
ejpam-7065	336	9	,	,	PUNCT
ejpam-7065	336	10	k.	k.	PROPN
ejpam-7065	336	11	al	al	PROPN
ejpam-7065	336	12	mashrafi	mashrafi	PROPN
ejpam-7065	336	13	,	,	PUNCT
ejpam-7065	336	14	and	and	CCONJ
ejpam-7065	336	15	t.	t.	PROPN
ejpam-7065	336	16	sasa	sasa	PROPN
ejpam-7065	336	17	.	.	PUNCT
ejpam-7065	337	1	bi	bi	ADJ
ejpam-7065	337	2	-	-	ADJ
ejpam-7065	337	3	starlike	starlike	ADJ
ejpam-7065	337	4	and	and	CCONJ
ejpam-7065	337	5	bi	bi	ADJ
ejpam-7065	337	6	-	-	ADJ
ejpam-7065	337	7	convex	convex	ADJ
ejpam-7065	337	8	a.	a.	NOUN
ejpam-7065	337	9	alsoboh	alsoboh	PROPN
ejpam-7065	337	10	et	et	PROPN
ejpam-7065	337	11	al	al	PROPN
ejpam-7065	337	12	.	.	PUNCT
ejpam-7065	337	13	/	/	SYM
ejpam-7065	337	14	eur	eur	PROPN
ejpam-7065	337	15	.	.	PUNCT
ejpam-7065	338	1	j.	j.	PROPN
ejpam-7065	338	2	pure	pure	PROPN
ejpam-7065	338	3	appl	appl	PROPN
ejpam-7065	338	4	.	.	PROPN
ejpam-7065	338	5	math	math	PROPN
ejpam-7065	338	6	,	,	PUNCT
ejpam-7065	338	7	18	18	NUM
ejpam-7065	338	8	(	(	PUNCT
ejpam-7065	338	9	4	4	NUM
ejpam-7065	338	10	)	)	PUNCT
ejpam-7065	338	11	(	(	PUNCT
ejpam-7065	338	12	2025	2025	NUM
ejpam-7065	338	13	)	)	PUNCT
ejpam-7065	338	14	,	,	PUNCT
ejpam-7065	338	15	7065	7065	NUM
ejpam-7065	338	16	15	15	NUM
ejpam-7065	338	17	of	of	ADP
ejpam-7065	338	18	16	16	NUM
ejpam-7065	338	19	function	function	NOUN
ejpam-7065	338	20	classes	class	NOUN
ejpam-7065	338	21	connected	connect	VERB
ejpam-7065	338	22	to	to	ADP
ejpam-7065	338	23	shell	shell	NOUN
ejpam-7065	338	24	-	-	PUNCT
ejpam-7065	338	25	like	like	ADJ
ejpam-7065	338	26	curves	curve	NOUN
ejpam-7065	338	27	and	and	CCONJ
ejpam-7065	338	28	the	the	DET
ejpam-7065	338	29	q	q	NOUN
ejpam-7065	338	30	-	-	PUNCT
ejpam-7065	338	31	analogue	analogue	NOUN
ejpam-7065	338	32	of	of	ADP
ejpam-7065	338	33	fibonacci	fibonacci	NOUN
ejpam-7065	338	34	numbers	number	NOUN
ejpam-7065	338	35	.	.	PUNCT
ejpam-7065	339	1	international	international	ADJ
ejpam-7065	339	2	journal	journal	NOUN
ejpam-7065	339	3	of	of	ADP
ejpam-7065	339	4	analysis	analysis	NOUN
ejpam-7065	339	5	and	and	CCONJ
ejpam-7065	339	6	applications	application	NOUN
ejpam-7065	339	7	,	,	PUNCT
ejpam-7065	339	8	23:201	23:201	NUM
ejpam-7065	339	9	,	,	PUNCT
ejpam-7065	339	10	2025	2025	NUM
ejpam-7065	339	11	.	.	PUNCT
ejpam-7065	340	1	[	[	X
ejpam-7065	340	2	18	18	NUM
ejpam-7065	340	3	]	]	PUNCT
ejpam-7065	340	4	a.	a.	NOUN
ejpam-7065	340	5	alsoboh	alsoboh	PROPN
ejpam-7065	340	6	,	,	PUNCT
ejpam-7065	340	7	m.	m.	NOUN
ejpam-7065	340	8	çağlar	çağlar	NOUN
ejpam-7065	340	9	,	,	PUNCT
ejpam-7065	340	10	and	and	CCONJ
ejpam-7065	340	11	m.	m.	NOUN
ejpam-7065	340	12	buyankara	buyankara	NOUN
ejpam-7065	340	13	.	.	PUNCT
ejpam-7065	341	1	fekete	fekete	NOUN
ejpam-7065	341	2	-	-	PUNCT
ejpam-7065	341	3	szegö	szegö	PROPN
ejpam-7065	341	4	inequality	inequality	NOUN
ejpam-7065	341	5	for	for	ADP
ejpam-7065	341	6	a	a	DET
ejpam-7065	341	7	subclass	subclass	NOUN
ejpam-7065	341	8	of	of	ADP
ejpam-7065	341	9	bi	bi	ADJ
ejpam-7065	341	10	-	-	ADJ
ejpam-7065	341	11	univalent	univalent	ADJ
ejpam-7065	341	12	functions	function	NOUN
ejpam-7065	341	13	linked	link	VERB
ejpam-7065	341	14	to	to	ADP
ejpam-7065	341	15	q	q	ADJ
ejpam-7065	341	16	-	-	ADJ
ejpam-7065	341	17	ultraspherical	ultraspherical	ADJ
ejpam-7065	341	18	polynomials	polynomial	NOUN
ejpam-7065	341	19	.	.	PUNCT
ejpam-7065	342	1	contemporary	contemporary	ADJ
ejpam-7065	342	2	mathematics	mathematic	NOUN
ejpam-7065	342	3	,	,	PUNCT
ejpam-7065	342	4	pages	page	NOUN
ejpam-7065	342	5	2366–2380	2366–2380	NUM
ejpam-7065	342	6	,	,	PUNCT
ejpam-7065	342	7	2024	2024	NUM
ejpam-7065	342	8	.	.	PUNCT
ejpam-7065	343	1	[	[	X
ejpam-7065	343	2	19	19	NUM
ejpam-7065	343	3	]	]	PUNCT
ejpam-7065	343	4	a.	a.	NOUN
ejpam-7065	343	5	alsoboh	alsoboh	PROPN
ejpam-7065	343	6	,	,	PUNCT
ejpam-7065	343	7	a.	a.	PROPN
ejpam-7065	343	8	s.	s.	PROPN
ejpam-7065	343	9	tayyah	tayyah	PROPN
ejpam-7065	343	10	,	,	PUNCT
ejpam-7065	343	11	a.	a.	PROPN
ejpam-7065	343	12	amourah	amourah	PROPN
ejpam-7065	343	13	,	,	PUNCT
ejpam-7065	343	14	a.	a.	PROPN
ejpam-7065	343	15	a.	a.	PROPN
ejpam-7065	343	16	al	al	PROPN
ejpam-7065	343	17	-	-	PUNCT
ejpam-7065	343	18	maqbali	maqbali	PROPN
ejpam-7065	343	19	,	,	PUNCT
ejpam-7065	343	20	k.	k.	PROPN
ejpam-7065	343	21	al	al	PROPN
ejpam-7065	343	22	mashrafi	mashrafi	PROPN
ejpam-7065	343	23	,	,	PUNCT
ejpam-7065	343	24	and	and	CCONJ
ejpam-7065	343	25	t.	t.	PROPN
ejpam-7065	343	26	sasa	sasa	PROPN
ejpam-7065	343	27	.	.	PUNCT
ejpam-7065	344	1	hankel	hankel	NOUN
ejpam-7065	344	2	determinant	determinant	ADJ
ejpam-7065	344	3	estimates	estimate	NOUN
ejpam-7065	344	4	for	for	ADP
ejpam-7065	344	5	bi	bi	ADJ
ejpam-7065	344	6	-	-	ADJ
ejpam-7065	344	7	bazilevič	bazilevič	NOUN
ejpam-7065	344	8	-	-	PUNCT
ejpam-7065	344	9	type	type	NOUN
ejpam-7065	344	10	functions	function	NOUN
ejpam-7065	344	11	involving	involve	VERB
ejpam-7065	344	12	qfibonacci	qfibonacci	NOUN
ejpam-7065	344	13	numbers	number	NOUN
ejpam-7065	344	14	.	.	PUNCT
ejpam-7065	345	1	european	european	ADJ
ejpam-7065	345	2	journal	journal	PROPN
ejpam-7065	345	3	of	of	ADP
ejpam-7065	345	4	pure	pure	ADJ
ejpam-7065	345	5	and	and	CCONJ
ejpam-7065	345	6	applied	applied	ADJ
ejpam-7065	345	7	mathematics	mathematic	NOUN
ejpam-7065	345	8	,	,	PUNCT
ejpam-7065	345	9	18(3):6698	18(3):6698	NUM
ejpam-7065	345	10	,	,	PUNCT
ejpam-7065	345	11	2025	2025	NUM
ejpam-7065	345	12	.	.	PUNCT
ejpam-7065	346	1	[	[	X
ejpam-7065	346	2	20	20	NUM
ejpam-7065	346	3	]	]	PUNCT
ejpam-7065	346	4	a.	a.	NOUN
ejpam-7065	346	5	amourah	amourah	PROPN
ejpam-7065	346	6	,	,	PUNCT
ejpam-7065	346	7	a.	a.	PROPN
ejpam-7065	346	8	alsoboh	alsoboh	PROPN
ejpam-7065	346	9	,	,	PUNCT
ejpam-7065	346	10	d.	d.	PROPN
ejpam-7065	346	11	breaz	breaz	PROPN
ejpam-7065	346	12	,	,	PUNCT
ejpam-7065	346	13	and	and	CCONJ
ejpam-7065	346	14	s.	s.	PROPN
ejpam-7065	346	15	m.	m.	PROPN
ejpam-7065	346	16	el	el	PROPN
ejpam-7065	346	17	-	-	PROPN
ejpam-7065	346	18	deeb	deeb	PROPN
ejpam-7065	346	19	.	.	PUNCT
ejpam-7065	347	1	a	a	DET
ejpam-7065	347	2	bi	bi	ADJ
ejpam-7065	347	3	-	-	ADJ
ejpam-7065	347	4	starlike	starlike	ADJ
ejpam-7065	347	5	class	class	NOUN
ejpam-7065	347	6	in	in	ADP
ejpam-7065	347	7	a	a	DET
ejpam-7065	347	8	leaf	leaf	NOUN
ejpam-7065	347	9	-	-	PUNCT
ejpam-7065	347	10	like	like	ADJ
ejpam-7065	347	11	domain	domain	NOUN
ejpam-7065	347	12	defined	define	VERB
ejpam-7065	347	13	through	through	ADP
ejpam-7065	347	14	subordination	subordination	NOUN
ejpam-7065	347	15	via	via	ADP
ejpam-7065	347	16	q	q	NOUN
ejpam-7065	347	17	-	-	NOUN
ejpam-7065	347	18	calculus	calculus	NOUN
ejpam-7065	347	19	.	.	PUNCT
ejpam-7065	348	1	mathematics	mathematic	NOUN
ejpam-7065	348	2	,	,	PUNCT
ejpam-7065	348	3	12(11):1735	12(11):1735	NUM
ejpam-7065	348	4	,	,	PUNCT
ejpam-7065	348	5	2024	2024	NUM
ejpam-7065	348	6	.	.	PUNCT
ejpam-7065	349	1	[	[	X
ejpam-7065	349	2	21	21	NUM
ejpam-7065	349	3	]	]	PUNCT
ejpam-7065	349	4	a.	a.	NOUN
ejpam-7065	349	5	a.	a.	NOUN
ejpam-7065	349	6	amourah	amourah	PROPN
ejpam-7065	349	7	and	and	CCONJ
ejpam-7065	349	8	f.	f.	PROPN
ejpam-7065	349	9	yousef	yousef	PROPN
ejpam-7065	349	10	.	.	PUNCT
ejpam-7065	350	1	some	some	DET
ejpam-7065	350	2	properties	property	NOUN
ejpam-7065	350	3	of	of	ADP
ejpam-7065	350	4	a	a	DET
ejpam-7065	350	5	class	class	NOUN
ejpam-7065	350	6	of	of	ADP
ejpam-7065	350	7	analytic	analytic	ADJ
ejpam-7065	350	8	functions	function	NOUN
ejpam-7065	350	9	involving	involve	VERB
ejpam-7065	350	10	a	a	DET
ejpam-7065	350	11	new	new	ADJ
ejpam-7065	350	12	generalized	generalized	ADJ
ejpam-7065	350	13	differential	differential	NOUN
ejpam-7065	350	14	operator	operator	NOUN
ejpam-7065	350	15	.	.	PUNCT
ejpam-7065	351	1	boletim	boletim	PROPN
ejpam-7065	351	2	da	da	PROPN
ejpam-7065	351	3	sociedade	sociedade	PROPN
ejpam-7065	351	4	paranaense	paranaense	PROPN
ejpam-7065	351	5	de	de	PROPN
ejpam-7065	351	6	matemática	matemática	PROPN
ejpam-7065	351	7	,	,	PUNCT
ejpam-7065	351	8	38(6):33–42	38(6):33–42	NUM
ejpam-7065	351	9	,	,	PUNCT
ejpam-7065	351	10	2020	2020	NUM
ejpam-7065	351	11	.	.	PUNCT
ejpam-7065	352	1	open	open	ADJ
ejpam-7065	352	2	access	access	NOUN
ejpam-7065	352	3	;	;	PUNCT
ejpam-7065	352	4	cited	cite	VERB
ejpam-7065	352	5	by	by	ADP
ejpam-7065	352	6	18	18	NUM
ejpam-7065	352	7	.	.	PUNCT
ejpam-7065	353	1	[	[	X
ejpam-7065	353	2	22	22	NUM
ejpam-7065	353	3	]	]	PUNCT
ejpam-7065	353	4	a.	a.	NOUN
ejpam-7065	353	5	a.	a.	NOUN
ejpam-7065	353	6	amourah	amourah	PROPN
ejpam-7065	353	7	and	and	CCONJ
ejpam-7065	353	8	m.	m.	NOUN
ejpam-7065	353	9	illafe	illafe	ADJ
ejpam-7065	353	10	.	.	PUNCT
ejpam-7065	354	1	a	a	DET
ejpam-7065	354	2	comprehensive	comprehensive	ADJ
ejpam-7065	354	3	subclass	subclass	NOUN
ejpam-7065	354	4	of	of	ADP
ejpam-7065	354	5	analytic	analytic	ADJ
ejpam-7065	354	6	and	and	CCONJ
ejpam-7065	354	7	biunivalent	biunivalent	NOUN
ejpam-7065	354	8	functions	function	NOUN
ejpam-7065	354	9	associated	associate	VERB
ejpam-7065	354	10	with	with	ADP
ejpam-7065	354	11	subordination	subordination	NOUN
ejpam-7065	354	12	.	.	PUNCT
ejpam-7065	355	1	palestine	palestine	PROPN
ejpam-7065	355	2	journal	journal	PROPN
ejpam-7065	355	3	of	of	ADP
ejpam-7065	355	4	mathematics	mathematic	NOUN
ejpam-7065	355	5	,	,	PUNCT
ejpam-7065	355	6	9(1):187–193	9(1):187–193	NUM
ejpam-7065	355	7	,	,	PUNCT
ejpam-7065	355	8	2020	2020	NUM
ejpam-7065	355	9	.	.	PUNCT
ejpam-7065	356	1	cited	cite	VERB
ejpam-7065	356	2	by	by	ADP
ejpam-7065	356	3	19	19	NUM
ejpam-7065	356	4	.	.	PUNCT
ejpam-7065	357	1	[	[	X
ejpam-7065	357	2	23	23	NUM
ejpam-7065	357	3	]	]	PUNCT
ejpam-7065	357	4	t.	t.	PROPN
ejpam-7065	357	5	al	al	PROPN
ejpam-7065	357	6	-	-	PUNCT
ejpam-7065	357	7	hawary	hawary	PROPN
ejpam-7065	357	8	,	,	PUNCT
ejpam-7065	357	9	a.	a.	PROPN
ejpam-7065	357	10	amourah	amourah	PROPN
ejpam-7065	357	11	,	,	PUNCT
ejpam-7065	357	12	j.	j.	PROPN
ejpam-7065	357	13	salah	salah	PROPN
ejpam-7065	357	14	,	,	PUNCT
ejpam-7065	357	15	and	and	CCONJ
ejpam-7065	357	16	f.	f.	PROPN
ejpam-7065	357	17	yousef	yousef	PROPN
ejpam-7065	357	18	.	.	PUNCT
ejpam-7065	358	1	two	two	NUM
ejpam-7065	358	2	inclusive	inclusive	ADJ
ejpam-7065	358	3	subfamilies	subfamily	NOUN
ejpam-7065	358	4	of	of	ADP
ejpam-7065	358	5	bi	bi	ADJ
ejpam-7065	358	6	-	-	ADJ
ejpam-7065	358	7	univalent	univalent	ADJ
ejpam-7065	358	8	functions	function	NOUN
ejpam-7065	358	9	.	.	PUNCT
ejpam-7065	359	1	international	international	ADJ
ejpam-7065	359	2	journal	journal	PROPN
ejpam-7065	359	3	of	of	ADP
ejpam-7065	359	4	neutrosophic	neutrosophic	ADJ
ejpam-7065	359	5	science	science	NOUN
ejpam-7065	359	6	,	,	PUNCT
ejpam-7065	359	7	24:315–323	24:315–323	NUM
ejpam-7065	359	8	,	,	PUNCT
ejpam-7065	359	9	2024	2024	NUM
ejpam-7065	359	10	.	.	PUNCT
ejpam-7065	360	1	[	[	X
ejpam-7065	360	2	24	24	NUM
ejpam-7065	360	3	]	]	X
ejpam-7065	360	4	f.	f.	PROPN
ejpam-7065	360	5	yousef	yousef	PROPN
ejpam-7065	360	6	,	,	PUNCT
ejpam-7065	360	7	a.	a.	NOUN
ejpam-7065	360	8	a.	a.	PROPN
ejpam-7065	360	9	amourah	amourah	PROPN
ejpam-7065	360	10	,	,	PUNCT
ejpam-7065	360	11	and	and	CCONJ
ejpam-7065	360	12	m.	m.	NOUN
ejpam-7065	360	13	darus	darus	NOUN
ejpam-7065	360	14	.	.	PUNCT
ejpam-7065	361	1	differential	differential	ADJ
ejpam-7065	361	2	sandwich	sandwich	NOUN
ejpam-7065	361	3	theorems	theorem	NOUN
ejpam-7065	361	4	for	for	ADP
ejpam-7065	361	5	p	p	NOUN
ejpam-7065	361	6	-	-	PUNCT
ejpam-7065	361	7	valent	valent	NOUN
ejpam-7065	361	8	functions	function	NOUN
ejpam-7065	361	9	associated	associate	VERB
ejpam-7065	361	10	with	with	ADP
ejpam-7065	361	11	a	a	DET
ejpam-7065	361	12	certain	certain	ADJ
ejpam-7065	361	13	generalized	generalized	ADJ
ejpam-7065	361	14	differential	differential	NOUN
ejpam-7065	361	15	operator	operator	NOUN
ejpam-7065	361	16	and	and	CCONJ
ejpam-7065	361	17	integral	integral	ADJ
ejpam-7065	361	18	operator	operator	NOUN
ejpam-7065	361	19	.	.	PUNCT
ejpam-7065	362	1	italian	italian	ADJ
ejpam-7065	362	2	journal	journal	NOUN
ejpam-7065	362	3	of	of	ADP
ejpam-7065	362	4	pure	pure	ADJ
ejpam-7065	362	5	and	and	CCONJ
ejpam-7065	362	6	applied	applied	ADJ
ejpam-7065	362	7	mathematics	mathematic	NOUN
ejpam-7065	362	8	,	,	PUNCT
ejpam-7065	362	9	36:543–556	36:543–556	NUM
ejpam-7065	362	10	,	,	PUNCT
ejpam-7065	362	11	2016	2016	NUM
ejpam-7065	362	12	.	.	PUNCT
ejpam-7065	362	13	cited	cite	VERB
ejpam-7065	362	14	by	by	ADP
ejpam-7065	362	15	18	18	NUM
ejpam-7065	362	16	.	.	PUNCT
ejpam-7065	363	1	[	[	X
ejpam-7065	363	2	25	25	NUM
ejpam-7065	363	3	]	]	PUNCT
ejpam-7065	363	4	a.	a.	NOUN
ejpam-7065	363	5	amourah	amourah	PROPN
ejpam-7065	363	6	,	,	PUNCT
ejpam-7065	363	7	o.	o.	PROPN
ejpam-7065	363	8	alnajar	alnajar	PROPN
ejpam-7065	363	9	,	,	PUNCT
ejpam-7065	363	10	m.	m.	NOUN
ejpam-7065	363	11	darus	darus	NOUN
ejpam-7065	363	12	,	,	PUNCT
ejpam-7065	363	13	a.	a.	NOUN
ejpam-7065	363	14	shdouh	shdouh	NOUN
ejpam-7065	363	15	,	,	PUNCT
ejpam-7065	363	16	and	and	CCONJ
ejpam-7065	363	17	o.	o.	PROPN
ejpam-7065	363	18	ogilat	ogilat	PROPN
ejpam-7065	363	19	.	.	PUNCT
ejpam-7065	364	1	estimates	estimate	NOUN
ejpam-7065	364	2	for	for	ADP
ejpam-7065	364	3	the	the	DET
ejpam-7065	364	4	coefficients	coefficient	NOUN
ejpam-7065	364	5	of	of	ADP
ejpam-7065	364	6	subclasses	subclass	NOUN
ejpam-7065	364	7	defined	define	VERB
ejpam-7065	364	8	by	by	ADP
ejpam-7065	364	9	the	the	DET
ejpam-7065	364	10	bell	bell	NOUN
ejpam-7065	364	11	distribution	distribution	NOUN
ejpam-7065	364	12	of	of	ADP
ejpam-7065	364	13	bi	bi	ADJ
ejpam-7065	364	14	-	-	ADJ
ejpam-7065	364	15	univalent	univalent	ADJ
ejpam-7065	364	16	functions	function	NOUN
ejpam-7065	364	17	subordinate	subordinate	VERB
ejpam-7065	364	18	to	to	ADP
ejpam-7065	364	19	gegenbauer	gegenbauer	NOUN
ejpam-7065	364	20	polynomials	polynomial	NOUN
ejpam-7065	364	21	.	.	PUNCT
ejpam-7065	365	1	mathematics	mathematic	NOUN
ejpam-7065	365	2	,	,	PUNCT
ejpam-7065	365	3	11(8):1799	11(8):1799	NUM
ejpam-7065	365	4	,	,	PUNCT
ejpam-7065	365	5	2023	2023	NUM
ejpam-7065	365	6	.	.	PUNCT
ejpam-7065	366	1	open	open	ADJ
ejpam-7065	366	2	access	access	NOUN
ejpam-7065	366	3	;	;	PUNCT
ejpam-7065	366	4	cited	cite	VERB
ejpam-7065	366	5	by	by	ADP
ejpam-7065	366	6	16	16	NUM
ejpam-7065	366	7	.	.	PUNCT
ejpam-7065	367	1	[	[	X
ejpam-7065	367	2	26	26	NUM
ejpam-7065	367	3	]	]	PUNCT
ejpam-7065	367	4	a.	a.	NOUN
ejpam-7065	367	5	a.	a.	PROPN
ejpam-7065	367	6	r.	r.	PROPN
ejpam-7065	367	7	m.	m.	PROPN
ejpam-7065	367	8	malkawi	malkawi	PROPN
ejpam-7065	367	9	,	,	PUNCT
ejpam-7065	367	10	d.	d.	PROPN
ejpam-7065	367	11	mahmoud	mahmoud	PROPN
ejpam-7065	367	12	,	,	PUNCT
ejpam-7065	367	13	a.	a.	PROPN
ejpam-7065	367	14	m.	m.	PROPN
ejpam-7065	367	15	rabaiah	rabaiah	PROPN
ejpam-7065	367	16	,	,	PUNCT
ejpam-7065	367	17	r.	r.	PROPN
ejpam-7065	367	18	al	al	PROPN
ejpam-7065	367	19	-	-	PUNCT
ejpam-7065	367	20	deiakeh	deiakeh	PROPN
ejpam-7065	367	21	,	,	PUNCT
ejpam-7065	367	22	and	and	CCONJ
ejpam-7065	367	23	w.	w.	PROPN
ejpam-7065	367	24	shatanawi	shatanawi	PROPN
ejpam-7065	367	25	.	.	PUNCT
ejpam-7065	368	1	on	on	ADP
ejpam-7065	368	2	fixed	fix	VERB
ejpam-7065	368	3	point	point	NOUN
ejpam-7065	368	4	theorems	theorem	NOUN
ejpam-7065	368	5	in	in	ADP
ejpam-7065	368	6	mr	mr	PROPN
ejpam-7065	368	7	-	-	PUNCT
ejpam-7065	368	8	metric	metric	ADJ
ejpam-7065	368	9	spaces	space	NOUN
ejpam-7065	368	10	.	.	PUNCT
ejpam-7065	369	1	nonlinear	nonlinear	ADJ
ejpam-7065	369	2	functional	functional	ADJ
ejpam-7065	369	3	analysis	analysis	NOUN
ejpam-7065	369	4	and	and	CCONJ
ejpam-7065	369	5	applications	application	NOUN
ejpam-7065	369	6	,	,	PUNCT
ejpam-7065	369	7	pages	page	NOUN
ejpam-7065	369	8	1125–1136	1125–1136	NUM
ejpam-7065	369	9	,	,	PUNCT
ejpam-7065	369	10	2024	2024	NUM
ejpam-7065	369	11	.	.	PUNCT
ejpam-7065	370	1	[	[	X
ejpam-7065	370	2	27	27	NUM
ejpam-7065	370	3	]	]	PUNCT
ejpam-7065	370	4	a.	a.	NOUN
ejpam-7065	370	5	a.	a.	PROPN
ejpam-7065	370	6	r.	r.	PROPN
ejpam-7065	370	7	m.	m.	PROPN
ejpam-7065	370	8	malkawi	malkawi	PROPN
ejpam-7065	370	9	.	.	PROPN
ejpam-7065	371	1	convergence	convergence	NOUN
ejpam-7065	371	2	and	and	CCONJ
ejpam-7065	371	3	fixed	fix	VERB
ejpam-7065	371	4	points	point	NOUN
ejpam-7065	371	5	of	of	ADP
ejpam-7065	371	6	self	self	NOUN
ejpam-7065	371	7	-	-	PUNCT
ejpam-7065	371	8	mappings	mapping	NOUN
ejpam-7065	371	9	in	in	ADP
ejpam-7065	371	10	mr	mr	PROPN
ejpam-7065	371	11	-	-	PUNCT
ejpam-7065	371	12	metric	metric	ADJ
ejpam-7065	371	13	spaces	space	NOUN
ejpam-7065	371	14	:	:	PUNCT
ejpam-7065	371	15	theory	theory	NOUN
ejpam-7065	371	16	and	and	CCONJ
ejpam-7065	371	17	applications	application	NOUN
ejpam-7065	371	18	.	.	PUNCT
ejpam-7065	372	1	european	european	ADJ
ejpam-7065	372	2	journal	journal	PROPN
ejpam-7065	372	3	of	of	ADP
ejpam-7065	372	4	pure	pure	ADJ
ejpam-7065	372	5	and	and	CCONJ
ejpam-7065	372	6	applied	applied	ADJ
ejpam-7065	372	7	mathematics	mathematic	NOUN
ejpam-7065	372	8	,	,	PUNCT
ejpam-7065	372	9	18(2):5952	18(2):5952	NUM
ejpam-7065	372	10	,	,	PUNCT
ejpam-7065	372	11	2025	2025	NUM
ejpam-7065	372	12	.	.	PUNCT
ejpam-7065	373	1	[	[	X
ejpam-7065	373	2	28	28	NUM
ejpam-7065	373	3	]	]	X
ejpam-7065	373	4	m.	m.	NOUN
ejpam-7065	373	5	çağlar	çağlar	NOUN
ejpam-7065	373	6	,	,	PUNCT
ejpam-7065	373	7	h.	h.	PROPN
ejpam-7065	373	8	orhan	orhan	PROPN
ejpam-7065	373	9	,	,	PUNCT
ejpam-7065	373	10	and	and	CCONJ
ejpam-7065	373	11	n.	n.	PROPN
ejpam-7065	373	12	yağmur	yağmur	PROPN
ejpam-7065	373	13	.	.	PUNCT
ejpam-7065	374	1	coefficient	coefficient	NOUN
ejpam-7065	374	2	bounds	bound	VERB
ejpam-7065	374	3	for	for	ADP
ejpam-7065	374	4	new	new	ADJ
ejpam-7065	374	5	subclasses	subclass	NOUN
ejpam-7065	374	6	of	of	ADP
ejpam-7065	374	7	bi	bi	ADJ
ejpam-7065	374	8	-	-	ADJ
ejpam-7065	374	9	univalent	univalent	ADJ
ejpam-7065	374	10	functions	function	NOUN
ejpam-7065	374	11	.	.	PUNCT
ejpam-7065	375	1	filomat	filomat	NOUN
ejpam-7065	375	2	,	,	PUNCT
ejpam-7065	375	3	27(7):1165–1171	27(7):1165–1171	NUM
ejpam-7065	375	4	,	,	PUNCT
ejpam-7065	375	5	2013	2013	NUM
ejpam-7065	375	6	.	.	PUNCT
ejpam-7065	376	1	[	[	X
ejpam-7065	376	2	29	29	NUM
ejpam-7065	376	3	]	]	X
ejpam-7065	376	4	s.	s.	PROPN
ejpam-7065	376	5	elhaddad	elhaddad	PROPN
ejpam-7065	376	6	,	,	PUNCT
ejpam-7065	376	7	h.	h.	PROPN
ejpam-7065	376	8	aldweby	aldweby	ADJ
ejpam-7065	376	9	,	,	PUNCT
ejpam-7065	376	10	and	and	CCONJ
ejpam-7065	376	11	m.	m.	NOUN
ejpam-7065	376	12	darus	darus	NOUN
ejpam-7065	376	13	.	.	PUNCT
ejpam-7065	377	1	some	some	DET
ejpam-7065	377	2	properties	property	NOUN
ejpam-7065	377	3	on	on	ADP
ejpam-7065	377	4	a	a	DET
ejpam-7065	377	5	class	class	NOUN
ejpam-7065	377	6	of	of	ADP
ejpam-7065	377	7	harmonic	harmonic	ADJ
ejpam-7065	377	8	univalent	univalent	ADJ
ejpam-7065	377	9	functions	function	NOUN
ejpam-7065	377	10	defined	define	VERB
ejpam-7065	377	11	by	by	ADP
ejpam-7065	377	12	q	q	NOUN
ejpam-7065	377	13	-	-	PUNCT
ejpam-7065	377	14	analogue	analogue	NOUN
ejpam-7065	377	15	of	of	ADP
ejpam-7065	377	16	ruscheweyh	ruscheweyh	NOUN
ejpam-7065	377	17	operator	operator	NOUN
ejpam-7065	377	18	.	.	PUNCT
ejpam-7065	378	1	journal	journal	PROPN
ejpam-7065	378	2	of	of	ADP
ejpam-7065	378	3	mathematical	mathematical	ADJ
ejpam-7065	378	4	analysis	analysis	NOUN
ejpam-7065	378	5	,	,	PUNCT
ejpam-7065	378	6	9(4):28–35	9(4):28–35	NUM
ejpam-7065	378	7	,	,	PUNCT
ejpam-7065	378	8	2018	2018	NUM
ejpam-7065	378	9	.	.	PUNCT
ejpam-7065	379	1	[	[	X
ejpam-7065	379	2	30	30	NUM
ejpam-7065	379	3	]	]	X
ejpam-7065	379	4	s.	s.	PROPN
ejpam-7065	379	5	h.	h.	PROPN
ejpam-7065	379	6	hadi	hadi	PROPN
ejpam-7065	379	7	,	,	PUNCT
ejpam-7065	379	8	t.	t.	PROPN
ejpam-7065	379	9	g.	g.	PROPN
ejpam-7065	379	10	shaba	shaba	PROPN
ejpam-7065	379	11	,	,	PUNCT
ejpam-7065	379	12	z.	z.	PROPN
ejpam-7065	379	13	s.	s.	PROPN
ejpam-7065	379	14	madhi	madhi	PROPN
ejpam-7065	379	15	,	,	PUNCT
ejpam-7065	379	16	m.	m.	NOUN
ejpam-7065	379	17	darus	darus	NOUN
ejpam-7065	379	18	,	,	PUNCT
ejpam-7065	379	19	a.	a.	NOUN
ejpam-7065	379	20	a.	a.	NOUN
ejpam-7065	379	21	lupaş	lupaş	PROPN
ejpam-7065	379	22	,	,	PUNCT
ejpam-7065	379	23	and	and	CCONJ
ejpam-7065	379	24	f.	f.	PROPN
ejpam-7065	379	25	tchier	tchier	PROPN
ejpam-7065	379	26	.	.	PUNCT
ejpam-7065	380	1	boundary	boundary	ADJ
ejpam-7065	380	2	values	value	NOUN
ejpam-7065	380	3	of	of	ADP
ejpam-7065	380	4	hankel	hankel	NOUN
ejpam-7065	380	5	and	and	CCONJ
ejpam-7065	380	6	toeplitz	toeplitz	NOUN
ejpam-7065	380	7	determinants	determinant	NOUN
ejpam-7065	380	8	for	for	ADP
ejpam-7065	380	9	ζ	ζ	NOUN
ejpam-7065	380	10	-	-	PUNCT
ejpam-7065	380	11	uniformly	uniformly	ADJ
ejpam-7065	380	12	q	q	NOUN
ejpam-7065	380	13	-	-	PUNCT
ejpam-7065	380	14	analogue	analogue	NOUN
ejpam-7065	380	15	of	of	ADP
ejpam-7065	380	16	analytic	analytic	ADJ
ejpam-7065	380	17	functions	function	NOUN
ejpam-7065	380	18	.	.	PUNCT
ejpam-7065	381	1	methodsx	methodsx	PROPN
ejpam-7065	381	2	,	,	PUNCT
ejpam-7065	381	3	13:102842	13:102842	NUM
ejpam-7065	381	4	,	,	PUNCT
ejpam-7065	381	5	2024	2024	NUM
ejpam-7065	381	6	.	.	PUNCT
ejpam-7065	382	1	art	art	NOUN
ejpam-7065	382	2	.	.	PUNCT
ejpam-7065	383	1	i	i	PRON
ejpam-7065	383	2	d	d	PROPN
ejpam-7065	383	3	102842	102842	NUM
ejpam-7065	383	4	.	.	PUNCT
ejpam-7065	384	1	a.	a.	PROPN
ejpam-7065	384	2	alsoboh	alsoboh	PROPN
ejpam-7065	384	3	et	et	PROPN
ejpam-7065	384	4	al	al	PROPN
ejpam-7065	384	5	.	.	PUNCT
ejpam-7065	384	6	/	/	SYM
ejpam-7065	384	7	eur	eur	PROPN
ejpam-7065	384	8	.	.	PUNCT
ejpam-7065	385	1	j.	j.	PROPN
ejpam-7065	385	2	pure	pure	PROPN
ejpam-7065	385	3	appl	appl	PROPN
ejpam-7065	385	4	.	.	PROPN
ejpam-7065	385	5	math	math	PROPN
ejpam-7065	385	6	,	,	PUNCT
ejpam-7065	385	7	18	18	NUM
ejpam-7065	385	8	(	(	PUNCT
ejpam-7065	385	9	4	4	NUM
ejpam-7065	385	10	)	)	PUNCT
ejpam-7065	385	11	(	(	PUNCT
ejpam-7065	385	12	2025	2025	NUM
ejpam-7065	385	13	)	)	PUNCT
ejpam-7065	385	14	,	,	PUNCT
ejpam-7065	385	15	7065	7065	NUM
ejpam-7065	385	16	16	16	NUM
ejpam-7065	385	17	of	of	ADP
ejpam-7065	385	18	16	16	NUM
ejpam-7065	386	1	[	[	X
ejpam-7065	386	2	31	31	NUM
ejpam-7065	386	3	]	]	PUNCT
ejpam-7065	386	4	s.	s.	PROPN
ejpam-7065	386	5	h.	h.	PROPN
ejpam-7065	386	6	hadi	hadi	PROPN
ejpam-7065	386	7	,	,	PUNCT
ejpam-7065	386	8	m.	m.	NOUN
ejpam-7065	386	9	darus	darus	NOUN
ejpam-7065	386	10	,	,	PUNCT
ejpam-7065	386	11	b.	b.	PROPN
ejpam-7065	386	12	alamri	alamri	PROPN
ejpam-7065	386	13	,	,	PUNCT
ejpam-7065	386	14	ş	ş	X
ejpam-7065	386	15	.	.	PUNCT
ejpam-7065	386	16	altınkaya	altınkaya	NOUN
ejpam-7065	386	17	,	,	PUNCT
ejpam-7065	386	18	and	and	CCONJ
ejpam-7065	386	19	a.	a.	PROPN
ejpam-7065	386	20	alatawi	alatawi	PROPN
ejpam-7065	386	21	.	.	PUNCT
ejpam-7065	387	1	on	on	ADP
ejpam-7065	387	2	classes	class	NOUN
ejpam-7065	387	3	of	of	ADP
ejpam-7065	387	4	ζuniformly	ζuniformly	ADJ
ejpam-7065	387	5	q	q	NOUN
ejpam-7065	387	6	-	-	NOUN
ejpam-7065	387	7	analogue	analogue	NOUN
ejpam-7065	387	8	of	of	ADP
ejpam-7065	387	9	analytic	analytic	ADJ
ejpam-7065	387	10	functions	function	NOUN
ejpam-7065	387	11	with	with	ADP
ejpam-7065	387	12	some	some	DET
ejpam-7065	387	13	subordination	subordination	NOUN
ejpam-7065	387	14	results	result	NOUN
ejpam-7065	387	15	.	.	PUNCT
ejpam-7065	388	1	asianeuropean	asianeuropean	PROPN
ejpam-7065	388	2	journal	journal	PROPN
ejpam-7065	388	3	of	of	ADP
ejpam-7065	388	4	mathematics	mathematic	NOUN
ejpam-7065	388	5	,	,	PUNCT
ejpam-7065	388	6	32(1):2312803	32(1):2312803	NUM
ejpam-7065	388	7	,	,	PUNCT
ejpam-7065	388	8	2024	2024	NUM
ejpam-7065	388	9	.	.	PUNCT
ejpam-7065	389	1	art	art	NOUN
ejpam-7065	389	2	.	.	PUNCT
ejpam-7065	390	1	i	i	PRON
ejpam-7065	390	2	d	d	PROPN
ejpam-7065	390	3	2312803	2312803	NUM
ejpam-7065	390	4	.	.	PUNCT
ejpam-7065	391	1	[	[	X
ejpam-7065	391	2	32	32	NUM
ejpam-7065	391	3	]	]	PUNCT
ejpam-7065	391	4	s.	s.	PROPN
ejpam-7065	391	5	al	al	PROPN
ejpam-7065	391	6	-	-	PUNCT
ejpam-7065	391	7	ahmad	ahmad	PROPN
ejpam-7065	391	8	,	,	PUNCT
ejpam-7065	391	9	m.	m.	NOUN
ejpam-7065	391	10	mamat	mamat	PROPN
ejpam-7065	391	11	,	,	PUNCT
ejpam-7065	391	12	n.	n.	PROPN
ejpam-7065	391	13	anakira	anakira	PROPN
ejpam-7065	391	14	,	,	PUNCT
ejpam-7065	391	15	and	and	CCONJ
ejpam-7065	391	16	r.	r.	PROPN
ejpam-7065	391	17	alahmad	alahmad	PROPN
ejpam-7065	391	18	.	.	PUNCT
ejpam-7065	392	1	modified	modify	VERB
ejpam-7065	392	2	differential	differential	ADJ
ejpam-7065	392	3	transformation	transformation	NOUN
ejpam-7065	392	4	method	method	NOUN
ejpam-7065	392	5	for	for	ADP
ejpam-7065	392	6	solving	solve	VERB
ejpam-7065	392	7	classes	class	NOUN
ejpam-7065	392	8	of	of	ADP
ejpam-7065	392	9	non	non	ADJ
ejpam-7065	392	10	-	-	ADJ
ejpam-7065	392	11	linear	linear	ADJ
ejpam-7065	392	12	differential	differential	ADJ
ejpam-7065	392	13	equations	equation	NOUN
ejpam-7065	392	14	.	.	PUNCT
ejpam-7065	393	1	twms	twms	PROPN
ejpam-7065	393	2	journal	journal	PROPN
ejpam-7065	393	3	of	of	ADP
ejpam-7065	393	4	applied	apply	VERB
ejpam-7065	393	5	and	and	CCONJ
ejpam-7065	393	6	engineering	engineering	NOUN
ejpam-7065	393	7	mathematics	mathematic	NOUN
ejpam-7065	393	8	,	,	PUNCT
ejpam-7065	393	9	2022	2022	NUM
ejpam-7065	393	10	.	.	PUNCT
ejpam-7065	394	1	[	[	X
ejpam-7065	394	2	33	33	NUM
ejpam-7065	394	3	]	]	X
ejpam-7065	394	4	n.	n.	PROPN
ejpam-7065	394	5	anakira	anakira	PROPN
ejpam-7065	394	6	,	,	PUNCT
ejpam-7065	394	7	a.	a.	NOUN
ejpam-7065	394	8	almalki	almalki	PROPN
ejpam-7065	394	9	,	,	PUNCT
ejpam-7065	394	10	m.	m.	PROPN
ejpam-7065	394	11	j.	j.	PROPN
ejpam-7065	394	12	mohammed	mohammed	PROPN
ejpam-7065	394	13	,	,	PUNCT
ejpam-7065	394	14	s.	s.	PROPN
ejpam-7065	394	15	hamad	hamad	PROPN
ejpam-7065	394	16	,	,	PUNCT
ejpam-7065	394	17	o.	o.	PROPN
ejpam-7065	394	18	oqilat	oqilat	NOUN
ejpam-7065	394	19	,	,	PUNCT
ejpam-7065	394	20	a.	a.	NOUN
ejpam-7065	394	21	amourah	amourah	PROPN
ejpam-7065	394	22	,	,	PUNCT
ejpam-7065	394	23	and	and	CCONJ
ejpam-7065	394	24	s.	s.	PROPN
ejpam-7065	394	25	arbia	arbia	PROPN
ejpam-7065	394	26	.	.	PUNCT
ejpam-7065	395	1	analytical	analytical	ADJ
ejpam-7065	395	2	approaches	approach	NOUN
ejpam-7065	395	3	for	for	ADP
ejpam-7065	395	4	computing	compute	VERB
ejpam-7065	395	5	exact	exact	ADJ
ejpam-7065	395	6	solutions	solution	NOUN
ejpam-7065	395	7	to	to	ADP
ejpam-7065	395	8	system	system	NOUN
ejpam-7065	395	9	of	of	ADP
ejpam-7065	395	10	volterra	volterra	PROPN
ejpam-7065	395	11	integro	integro	PROPN
ejpam-7065	395	12	-	-	PUNCT
ejpam-7065	395	13	differential	differential	NOUN
ejpam-7065	395	14	equations	equation	NOUN
ejpam-7065	395	15	.	.	PUNCT
ejpam-7065	396	1	wseas	wseas	VERB
ejpam-7065	396	2	transactions	transaction	NOUN
ejpam-7065	396	3	on	on	ADP
ejpam-7065	396	4	mathematics	mathematic	NOUN
ejpam-7065	396	5	,	,	PUNCT
ejpam-7065	396	6	23:400–407	23:400–407	PROPN
ejpam-7065	396	7	,	,	PUNCT
ejpam-7065	396	8	2024	2024	NUM
ejpam-7065	396	9	.	.	PUNCT
ejpam-7065	397	1	[	[	X
ejpam-7065	397	2	34	34	NUM
ejpam-7065	397	3	]	]	X
ejpam-7065	397	4	n.	n.	PROPN
ejpam-7065	397	5	r.	r.	PROPN
ejpam-7065	397	6	anakira	anakira	PROPN
ejpam-7065	397	7	,	,	PUNCT
ejpam-7065	397	8	a.	a.	PROPN
ejpam-7065	397	9	k.	k.	PROPN
ejpam-7065	397	10	alomari	alomari	PROPN
ejpam-7065	397	11	,	,	PUNCT
ejpam-7065	397	12	and	and	CCONJ
ejpam-7065	397	13	i.	i.	PROPN
ejpam-7065	397	14	hashim	hashim	PROPN
ejpam-7065	397	15	.	.	PUNCT
ejpam-7065	398	1	application	application	NOUN
ejpam-7065	398	2	of	of	ADP
ejpam-7065	398	3	optimal	optimal	ADJ
ejpam-7065	398	4	homotopy	homotopy	NOUN
ejpam-7065	398	5	asymptotic	asymptotic	ADJ
ejpam-7065	398	6	method	method	NOUN
ejpam-7065	398	7	for	for	ADP
ejpam-7065	398	8	solving	solve	VERB
ejpam-7065	398	9	linear	linear	ADJ
ejpam-7065	398	10	delay	delay	NOUN
ejpam-7065	398	11	differential	differential	ADJ
ejpam-7065	398	12	equations	equation	NOUN
ejpam-7065	398	13	.	.	PUNCT
ejpam-7065	399	1	in	in	ADP
ejpam-7065	399	2	aip	aip	PROPN
ejpam-7065	399	3	conference	conference	NOUN
ejpam-7065	399	4	proceedings	proceeding	NOUN
ejpam-7065	399	5	,	,	PUNCT
ejpam-7065	399	6	volume	volume	NOUN
ejpam-7065	399	7	1571	1571	NUM
ejpam-7065	399	8	,	,	PUNCT
ejpam-7065	399	9	pages	page	NOUN
ejpam-7065	399	10	1013–1019	1013–1019	NUM
ejpam-7065	399	11	.	.	PUNCT
ejpam-7065	400	1	american	american	PROPN
ejpam-7065	400	2	institute	institute	PROPN
ejpam-7065	400	3	of	of	ADP
ejpam-7065	400	4	physics	physics	PROPN
ejpam-7065	400	5	,	,	PUNCT
ejpam-7065	400	6	november	november	PROPN
ejpam-7065	400	7	2013	2013	NUM
ejpam-7065	400	8	.	.	PUNCT
ejpam-7065	401	1	[	[	X
ejpam-7065	401	2	35	35	NUM
ejpam-7065	401	3	]	]	X
ejpam-7065	401	4	r.	r.	PROPN
ejpam-7065	401	5	w.	w.	PROPN
ejpam-7065	401	6	ibrahim	ibrahim	PROPN
ejpam-7065	401	7	,	,	PUNCT
ejpam-7065	401	8	m.	m.	PROPN
ejpam-7065	401	9	z.	z.	PROPN
ejpam-7065	401	10	ahmad	ahmad	PROPN
ejpam-7065	401	11	,	,	PUNCT
ejpam-7065	401	12	and	and	CCONJ
ejpam-7065	401	13	m.	m.	PROPN
ejpam-7065	401	14	j.	j.	PROPN
ejpam-7065	401	15	mohammed	mohammed	PROPN
ejpam-7065	401	16	.	.	PUNCT
ejpam-7065	402	1	generalized	generalize	VERB
ejpam-7065	402	2	population	population	NOUN
ejpam-7065	402	3	dynamic	dynamic	ADJ
ejpam-7065	402	4	operator	operator	NOUN
ejpam-7065	402	5	with	with	ADP
ejpam-7065	402	6	delay	delay	NOUN
ejpam-7065	402	7	based	base	VERB
ejpam-7065	402	8	on	on	ADP
ejpam-7065	402	9	fractional	fractional	ADJ
ejpam-7065	402	10	calculus	calculus	NOUN
ejpam-7065	402	11	.	.	PUNCT
ejpam-7065	403	1	journal	journal	PROPN
ejpam-7065	403	2	of	of	ADP
ejpam-7065	403	3	environmental	environmental	ADJ
ejpam-7065	403	4	biology	biology	NOUN
ejpam-7065	403	5	,	,	PUNCT
ejpam-7065	403	6	37(5):1139	37(5):1139	NUM
ejpam-7065	403	7	,	,	PUNCT
ejpam-7065	403	8	2016	2016	NUM
ejpam-7065	403	9	.	.	PUNCT
ejpam-7065	404	1	[	[	X
ejpam-7065	404	2	36	36	NUM
ejpam-7065	404	3	]	]	X
ejpam-7065	404	4	r.	r.	PROPN
ejpam-7065	404	5	w.	w.	PROPN
ejpam-7065	404	6	ibrahim	ibrahim	PROPN
ejpam-7065	404	7	,	,	PUNCT
ejpam-7065	404	8	m.	m.	PROPN
ejpam-7065	404	9	z.	z.	PROPN
ejpam-7065	404	10	ahmad	ahmad	PROPN
ejpam-7065	404	11	,	,	PUNCT
ejpam-7065	404	12	and	and	CCONJ
ejpam-7065	404	13	m.	m.	PROPN
ejpam-7065	404	14	j.	j.	PROPN
ejpam-7065	404	15	mohammed	mohammed	PROPN
ejpam-7065	404	16	.	.	PUNCT
ejpam-7065	405	1	symmetric	symmetric	ADJ
ejpam-7065	405	2	-	-	PUNCT
ejpam-7065	405	3	periodic	periodic	ADJ
ejpam-7065	405	4	solutions	solution	NOUN
ejpam-7065	405	5	for	for	ADP
ejpam-7065	405	6	some	some	DET
ejpam-7065	405	7	types	type	NOUN
ejpam-7065	405	8	of	of	ADP
ejpam-7065	405	9	generalized	generalized	ADJ
ejpam-7065	405	10	neutral	neutral	ADJ
ejpam-7065	405	11	equations	equation	NOUN
ejpam-7065	405	12	.	.	PUNCT
ejpam-7065	406	1	mathematical	mathematical	ADJ
ejpam-7065	406	2	sciences	science	NOUN
ejpam-7065	406	3	,	,	PUNCT
ejpam-7065	406	4	10(4):219	10(4):219	NOUN
ejpam-7065	406	5	–	–	PUNCT
ejpam-7065	406	6	226	226	NUM
ejpam-7065	406	7	,	,	PUNCT
ejpam-7065	406	8	2016	2016	NUM
ejpam-7065	406	9	.	.	PUNCT
ejpam-7065	407	1	[	[	X
ejpam-7065	407	2	37	37	NUM
ejpam-7065	407	3	]	]	PUNCT
ejpam-7065	407	4	a.	a.	NOUN
ejpam-7065	407	5	alsoboh	alsoboh	PROPN
ejpam-7065	407	6	,	,	PUNCT
ejpam-7065	407	7	a.	a.	PROPN
ejpam-7065	407	8	amourah	amourah	PROPN
ejpam-7065	407	9	,	,	PUNCT
ejpam-7065	407	10	o.	o.	PROPN
ejpam-7065	407	11	alnajar	alnajar	PROPN
ejpam-7065	407	12	,	,	PUNCT
ejpam-7065	407	13	m.	m.	NOUN
ejpam-7065	407	14	ahmed	ahmed	PROPN
ejpam-7065	407	15	,	,	PUNCT
ejpam-7065	407	16	and	and	CCONJ
ejpam-7065	407	17	t.	t.	PROPN
ejpam-7065	407	18	m.	m.	PROPN
ejpam-7065	407	19	seoudy	seoudy	PROPN
ejpam-7065	407	20	.	.	PUNCT
ejpam-7065	408	1	exploring	explore	VERB
ejpam-7065	408	2	q	q	ADJ
ejpam-7065	408	3	-	-	PUNCT
ejpam-7065	408	4	fibonacci	fibonacci	NOUN
ejpam-7065	408	5	numbers	number	NOUN
ejpam-7065	408	6	in	in	ADP
ejpam-7065	408	7	geometric	geometric	ADJ
ejpam-7065	408	8	function	function	NOUN
ejpam-7065	408	9	theory	theory	NOUN
ejpam-7065	408	10	:	:	PUNCT
ejpam-7065	408	11	univalence	univalence	NOUN
ejpam-7065	408	12	and	and	CCONJ
ejpam-7065	408	13	shell	shell	NOUN
ejpam-7065	408	14	-	-	PUNCT
ejpam-7065	408	15	like	like	ADJ
ejpam-7065	408	16	starlike	starlike	NOUN
ejpam-7065	408	17	curves	curve	NOUN
ejpam-7065	408	18	.	.	PUNCT
ejpam-7065	409	1	mathematics	mathematic	NOUN
ejpam-7065	409	2	,	,	PUNCT
ejpam-7065	409	3	13(8):1294	13(8):1294	NUM
ejpam-7065	409	4	,	,	PUNCT
ejpam-7065	409	5	2025	2025	NUM
ejpam-7065	409	6	.	.	PUNCT
ejpam-7065	410	1	[	[	X
ejpam-7065	410	2	38	38	NUM
ejpam-7065	410	3	]	]	PUNCT
ejpam-7065	410	4	h.	h.	PROPN
ejpam-7065	410	5	ö.	ö.	PROPN
ejpam-7065	410	6	güney	güney	PROPN
ejpam-7065	410	7	,	,	PUNCT
ejpam-7065	410	8	g.	g.	PROPN
ejpam-7065	410	9	murugusundaramoorthy	murugusundaramoorthy	PROPN
ejpam-7065	410	10	,	,	PUNCT
ejpam-7065	410	11	and	and	CCONJ
ejpam-7065	410	12	j.	j.	PROPN
ejpam-7065	410	13	sokół	sokół	PROPN
ejpam-7065	410	14	.	.	PUNCT
ejpam-7065	411	1	subclasses	subclass	NOUN
ejpam-7065	411	2	of	of	ADP
ejpam-7065	411	3	bi	bi	ADJ
ejpam-7065	411	4	-	-	ADJ
ejpam-7065	411	5	univalent	univalent	ADJ
ejpam-7065	411	6	functions	function	NOUN
ejpam-7065	411	7	related	relate	VERB
ejpam-7065	411	8	to	to	ADP
ejpam-7065	411	9	shell	shell	NOUN
ejpam-7065	411	10	-	-	PUNCT
ejpam-7065	411	11	like	like	ADJ
ejpam-7065	411	12	curves	curve	NOUN
ejpam-7065	411	13	connected	connect	VERB
ejpam-7065	411	14	with	with	ADP
ejpam-7065	411	15	fibonacci	fibonacci	NOUN
ejpam-7065	411	16	numbers	number	NOUN
ejpam-7065	411	17	.	.	PUNCT
ejpam-7065	412	1	acta	acta	PROPN
ejpam-7065	412	2	universitatis	universitatis	PROPN
ejpam-7065	412	3	sapientiae	sapientiae	PROPN
ejpam-7065	412	4	,	,	PUNCT
ejpam-7065	412	5	mathematica	mathematica	PROPN
ejpam-7065	412	6	,	,	PUNCT
ejpam-7065	412	7	10(1):70–84	10(1):70–84	NUM
ejpam-7065	412	8	,	,	PUNCT
ejpam-7065	412	9	2018	2018	NUM
ejpam-7065	412	10	.	.	PUNCT